├── .github
    └── dependabot.yml
├── .gitignore
├── .rustfmt.toml
├── .travis.yml
├── Cargo.toml
├── LICENSE
├── README.md
├── THANKS
└── src
    └── lib.rs


/.github/dependabot.yml:
--------------------------------------------------------------------------------
1 | version: 2
2 | updates:
3 | - package-ecosystem: cargo
4 |   directory: "/"
5 |   schedule:
6 |     interval: daily
7 |     time: "04:00"
8 |   open-pull-requests-limit: 10
9 | 


--------------------------------------------------------------------------------
/.gitignore:
--------------------------------------------------------------------------------
1 | *.dSYM
2 | *~
3 | build
4 | Cargo.lock
5 | target
6 | 


--------------------------------------------------------------------------------
/.rustfmt.toml:
--------------------------------------------------------------------------------
 1 | max_width = 100
 2 | hard_tabs = false
 3 | tab_spaces = 4
 4 | newline_style = "Auto"
 5 | indent_style = "Block"
 6 | use_small_heuristics = "Default"
 7 | fn_call_width = 60
 8 | attr_fn_like_width = 70
 9 | struct_lit_width = 18
10 | struct_variant_width = 35
11 | array_width = 60
12 | chain_width = 60
13 | single_line_if_else_max_width = 50
14 | wrap_comments = true
15 | format_code_in_doc_comments = true
16 | comment_width = 80
17 | normalize_comments = true
18 | normalize_doc_attributes = true
19 | license_template_path = ""
20 | format_strings = true
21 | format_macro_matchers = true
22 | format_macro_bodies = true
23 | hex_literal_case = "Lower"
24 | empty_item_single_line = true
25 | struct_lit_single_line = true
26 | fn_single_line = false
27 | where_single_line = false
28 | imports_indent = "Block"
29 | imports_layout = "Mixed"
30 | imports_granularity = "Preserve"
31 | group_imports = "StdExternalCrate"
32 | reorder_imports = true
33 | reorder_modules = true
34 | reorder_impl_items = true
35 | type_punctuation_density = "Wide"
36 | space_before_colon = false
37 | space_after_colon = true
38 | spaces_around_ranges = false
39 | binop_separator = "Front"
40 | remove_nested_parens = true
41 | combine_control_expr = true
42 | short_array_element_width_threshold = 10
43 | overflow_delimited_expr = false
44 | struct_field_align_threshold = 0
45 | enum_discrim_align_threshold = 0
46 | match_arm_blocks = true
47 | match_arm_leading_pipes = "Never"
48 | force_multiline_blocks = false
49 | fn_args_layout = "Tall"
50 | brace_style = "SameLineWhere"
51 | control_brace_style = "AlwaysSameLine"
52 | trailing_semicolon = true
53 | trailing_comma = "Vertical"
54 | match_block_trailing_comma = false
55 | blank_lines_upper_bound = 1
56 | blank_lines_lower_bound = 0
57 | edition = "2021"
58 | version = "One"
59 | inline_attribute_width = 0
60 | format_generated_files = true
61 | merge_derives = true
62 | use_try_shorthand = true
63 | use_field_init_shorthand = true
64 | force_explicit_abi = true
65 | condense_wildcard_suffixes = true
66 | color = "Auto"
67 | required_version = "1.4.38"
68 | unstable_features = true
69 | disable_all_formatting = false
70 | skip_children = false
71 | hide_parse_errors = false
72 | error_on_line_overflow = false
73 | error_on_unformatted = false
74 | report_todo = "Never"
75 | report_fixme = "Never"
76 | ignore = []
77 | emit_mode = "Files"
78 | make_backup = false
79 | 


--------------------------------------------------------------------------------
/.travis.yml:
--------------------------------------------------------------------------------
1 | language: rust
2 | rust:
3 |   - nightly
4 |   - stable
5 | 


--------------------------------------------------------------------------------
/Cargo.toml:
--------------------------------------------------------------------------------
 1 | [package]
 2 | name = "hyperloglog"
 3 | version = "1.0.2"
 4 | edition = "2018"
 5 | authors = ["Frank Denis <github@pureftpd.org>"]
 6 | description = "Hyperloglog implementation in Rust"
 7 | license = "ISC"
 8 | homepage = "https://github.com/jedisct1/rust-hyperloglog"
 9 | repository = "https://github.com/jedisct1/rust-hyperloglog"
10 | 
11 | [dependencies]
12 | bytecount = "0.6"
13 | rand = "0.9.0"
14 | serde = { version = "1.0", optional = true }
15 | siphasher = "1.0"
16 | 
17 | [dev-dependencies]
18 | bincode = "2.0"
19 | 
20 | [features]
21 | with_serde = ["serde", "siphasher/serde_std"]
22 | default = []
23 | 


--------------------------------------------------------------------------------
/LICENSE:
--------------------------------------------------------------------------------
 1 | Copyright (c) 2013-2021, Frank Denis
 2 | All rights reserved.
 3 | 
 4 | Redistribution and use in source and binary forms, with or without modification,
 5 | are permitted provided that the following conditions are met:
 6 | 
 7 |   Redistributions of source code must retain the above copyright notice, this
 8 |   list of conditions and the following disclaimer.
 9 | 
10 |   Redistributions in binary form must reproduce the above copyright notice, this
11 |   list of conditions and the following disclaimer in the documentation and/or
12 |   other materials provided with the distribution.
13 | 
14 | THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
15 | ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
16 | WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
17 | DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR
18 | ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
19 | (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
20 | LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
21 | ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
22 | (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
23 | SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
24 | 


--------------------------------------------------------------------------------
/README.md:
--------------------------------------------------------------------------------
 1 | hyperloglog
 2 | ===========
 3 | 
 4 | A [HyperLogLog](https://static.googleusercontent.com/media/research.google.com/en/us/pubs/archive/40671.pdf) implementation in Rust, with bias correction.
 5 | 
 6 | Installation: use [Cargo](http://crates.io):
 7 | 
 8 | ```toml
 9 | [dependencies]
10 | hyperloglog = "0"
11 | ```
12 | 
13 | Usage:
14 | 
15 | ```rust
16 | let mut hll = HyperLogLog::new(error_rate);
17 | hll.insert(&"test1");
18 | hll.insert(&"test2");
19 | let card_estimation = hll.len();
20 | 
21 | let mut hll2 = HyperLogLog::new_from_template(&hll);
22 | hll2.insert(&"test3");
23 | 
24 | hll.merge(&hll2);
25 | ```
26 | 
27 | ## Optional Cargo features:
28 | 
29 | - `with_serde`: enable serialization via `serde`.
30 | 


--------------------------------------------------------------------------------
/THANKS:
--------------------------------------------------------------------------------
1 | Nelson Gonçalves (@goncalvesnelson)
2 | Vasily Evseenko (@svpcom)
3 | for Python's hyperloglog implementation this code is based on.
4 | 


--------------------------------------------------------------------------------
/src/lib.rs:
--------------------------------------------------------------------------------
   1 | // (C)opyleft 2013-2021 Frank Denis
   2 | 
   3 | //! HyperLogLog implementation for Rust
   4 | #![crate_name = "hyperloglog"]
   5 | #![warn(non_camel_case_types, non_upper_case_globals, unused_qualifications)]
   6 | #![allow(non_snake_case)]
   7 | #![allow(clippy::unreadable_literal)]
   8 | 
   9 | use std::cmp::Ordering::{Equal, Greater, Less};
  10 | use std::hash::{Hash, Hasher};
  11 | 
  12 | use siphasher::sip::SipHasher13;
  13 | 
  14 | /// A HyperLogLog counter
  15 | #[derive(Clone, Debug)]
  16 | #[cfg_attr(feature = "serde", derive(serde::Serialize, serde::Deserialize))]
  17 | pub struct HyperLogLog {
  18 |     alpha: f64,
  19 |     p: u8,
  20 |     m: usize,
  21 |     M: Vec<u8>,
  22 |     sip: SipHasher13,
  23 | }
  24 | 
  25 | impl HyperLogLog {
  26 |     /// Create a new `HyperLogLog` counter with the given error rate and seed.
  27 |     #[must_use]
  28 |     pub fn new_deterministic(error_rate: f64, seed: u128) -> Self {
  29 |         let key0 = (seed >> 64) as u64;
  30 |         let key1 = seed as u64;
  31 |         assert!(error_rate > 0.0 && error_rate < 1.0);
  32 |         let sr = 1.04 / error_rate;
  33 |         let p = f64::ln(sr * sr).ceil() as u8;
  34 |         assert!(p <= 64);
  35 |         let alpha = Self::get_alpha(p);
  36 |         let m = 1usize << p;
  37 |         HyperLogLog {
  38 |             alpha,
  39 |             p,
  40 |             m,
  41 |             M: vec![0; m],
  42 |             sip: SipHasher13::new_with_keys(key0, key1),
  43 |         }
  44 |     }
  45 | 
  46 |     /// Create a new `HyperLogLog` counter with the given error rate and a random
  47 |     /// seed.
  48 |     #[must_use]
  49 |     pub fn new(error_rate: f64) -> Self {
  50 |         let seed: u128 = rand::random();
  51 |         Self::new_deterministic(error_rate, seed)
  52 |     }
  53 | 
  54 |     /// Create a new `HyperLogLog` counter with the same parameters as an
  55 |     /// existing one.
  56 |     #[must_use]
  57 |     pub fn new_from_template(hll: &HyperLogLog) -> Self {
  58 |         HyperLogLog {
  59 |             alpha: hll.alpha,
  60 |             p: hll.p,
  61 |             m: hll.m,
  62 |             M: vec![0; hll.m],
  63 |             sip: hll.sip,
  64 |         }
  65 |     }
  66 | 
  67 |     /// Insert a new value into the `HyperLogLog` counter.
  68 |     pub fn insert<V: Hash>(&mut self, value: &V) {
  69 |         let sip = &mut self.sip.clone();
  70 |         value.hash(sip);
  71 |         let x = sip.finish();
  72 |         self.insert_by_hash_value(x);
  73 |     }
  74 | 
  75 |     /// Insert a new u64 value into the `HyperLogLog` counter.
  76 |     pub fn insert_by_hash_value(&mut self, x: u64) {
  77 |         let j = x as usize & (self.m - 1);
  78 |         let w = x >> self.p;
  79 |         let rho = Self::get_rho(w, 64 - self.p);
  80 |         let mjr = &mut self.M[j];
  81 |         if rho > *mjr {
  82 |             *mjr = rho;
  83 |         }
  84 |     }
  85 | 
  86 |     /// Return the cardinality of the `HyperLogLog` counter.
  87 |     #[must_use]
  88 |     pub fn len(&self) -> f64 {
  89 |         let V = Self::vec_count_zero(&self.M);
  90 |         if V > 0 {
  91 |             let H = self.m as f64 * (self.m as f64 / V as f64).ln();
  92 |             if H <= Self::get_threshold(self.p) {
  93 |                 H
  94 |             } else {
  95 |                 self.ep()
  96 |             }
  97 |         } else {
  98 |             self.ep()
  99 |         }
 100 |     }
 101 | 
 102 |     /// Return `true` if the `HyperLogLog` counter is empty.
 103 |     #[must_use]
 104 |     pub fn is_empty(&self) -> bool {
 105 |         self.len() == 0.0
 106 |     }
 107 | 
 108 |     /// Merge another `HyperLogLog` counter into the current one.
 109 |     pub fn merge(&mut self, src: &HyperLogLog) {
 110 |         assert!(src.p == self.p);
 111 |         assert!(src.m == self.m);
 112 |         let sip1 = &mut src.sip.clone();
 113 |         let sip2 = &mut self.sip.clone();
 114 |         42.hash(sip1);
 115 |         42.hash(sip2);
 116 |         assert!(sip1.finish() == sip2.finish());
 117 |         for i in 0..self.m {
 118 |             let (src_mir, mir) = (src.M[i], &mut self.M[i]);
 119 |             if src_mir > *mir {
 120 |                 *mir = src_mir;
 121 |             }
 122 |         }
 123 |     }
 124 | 
 125 |     /// Wipe the `HyperLogLog` counter.
 126 |     pub fn clear(&mut self) {
 127 |         self.M.fill(0);
 128 |     }
 129 | 
 130 |     fn get_threshold(p: u8) -> f64 {
 131 |         THRESHOLD_DATA[p as usize]
 132 |     }
 133 | 
 134 |     fn get_alpha(p: u8) -> f64 {
 135 |         assert!((4..=16).contains(&p));
 136 |         match p {
 137 |             4 => 0.673,
 138 |             5 => 0.697,
 139 |             6 => 0.709,
 140 |             _ => 0.7213 / (1.0 + 1.079 / (1usize << (p as usize)) as f64),
 141 |         }
 142 |     }
 143 | 
 144 |     fn bit_length(x: u64) -> u8 {
 145 |         (64 - x.leading_zeros()) as u8
 146 |     }
 147 | 
 148 |     fn get_rho(w: u64, max_width: u8) -> u8 {
 149 |         let rho = max_width - Self::bit_length(w) + 1;
 150 |         assert!(rho > 0);
 151 |         rho
 152 |     }
 153 | 
 154 |     fn vec_count_zero(v: &[u8]) -> usize {
 155 |         bytecount::count(v, 0)
 156 |     }
 157 | 
 158 |     fn estimate_bias(E: f64, p: u8) -> f64 {
 159 |         let bias_vector = BIAS_DATA[(p - 4) as usize];
 160 |         let nearest_neighbors = Self::get_nearest_neighbors(E, RAW_ESTIMATE_DATA[(p - 4) as usize]);
 161 |         let sum: f64 = nearest_neighbors.iter().map(|&neighbor| bias_vector[neighbor]).sum();
 162 |         sum / nearest_neighbors.len() as f64
 163 |     }
 164 | 
 165 |     fn get_nearest_neighbors(E: f64, estimate_vector: &[f64]) -> Vec<usize> {
 166 |         let mut r: Vec<_> = estimate_vector.iter().copied().enumerate().map(|(i, est)| {
 167 |             ((E - est).powi(2), i)
 168 |         }).collect();
 169 |         r.sort_by(|a, b| {
 170 |             if a < b {
 171 |                 Less
 172 |             } else if a > b {
 173 |                 Greater
 174 |             } else {
 175 |                 Equal
 176 |             }
 177 |         });
 178 |         r.iter().take(6).map(|&(_, b)| b).collect()
 179 |     }
 180 | 
 181 |     fn ep(&self) -> f64 {
 182 |         let sum: f64 = self.M.iter().map(|&x| 2.0f64.powi(-(x as i32))).sum();
 183 |         let E = self.alpha * (self.m * self.m) as f64 / sum;
 184 |         if E <= (5 * self.m) as f64 {
 185 |             E - Self::estimate_bias(E, self.p)
 186 |         } else {
 187 |             E
 188 |         }
 189 |     }
 190 | }
 191 | 
 192 | #[cfg(feature = "serde")]
 193 | #[test]
 194 | fn hyperloglog_serialize() {
 195 |     let hll = HyperLogLog::new(0.00408);
 196 |     let bytes = bincode::serialize(&hll).unwrap();
 197 |     let _: HyperLogLog = bincode::deserialize(&bytes).unwrap();
 198 | }
 199 | 
 200 | #[test]
 201 | fn hyperloglog_test_simple() {
 202 |     let mut hll = HyperLogLog::new(0.00408);
 203 |     let keys = ["test1", "test2", "test3", "test2", "test2", "test2"];
 204 |     for k in &keys {
 205 |         hll.insert(k);
 206 |     }
 207 |     assert!((hll.len().round() - 3.0).abs() < std::f64::EPSILON);
 208 |     assert!(!hll.is_empty());
 209 |     hll.clear();
 210 |     assert!(hll.is_empty());
 211 |     assert!(hll.len() == 0.0);
 212 | }
 213 | 
 214 | #[test]
 215 | fn hyperloglog_test_merge() {
 216 |     let mut hll = HyperLogLog::new(0.00408);
 217 |     let keys = ["test1", "test2", "test3", "test2", "test2", "test2"];
 218 |     for k in &keys {
 219 |         hll.insert(k);
 220 |     }
 221 |     assert!((hll.len().round() - 3.0).abs() < std::f64::EPSILON);
 222 | 
 223 |     let mut hll2 = HyperLogLog::new_from_template(&hll);
 224 |     let keys2 = ["test3", "test4", "test4", "test4", "test4", "test1"];
 225 |     for k in &keys2 {
 226 |         hll2.insert(k);
 227 |     }
 228 |     assert!((hll2.len().round() - 3.0).abs() < std::f64::EPSILON);
 229 | 
 230 |     hll.merge(&hll2);
 231 |     assert!((hll.len().round() - 4.0).abs() < std::f64::EPSILON);
 232 | }
 233 | 
 234 | static THRESHOLD_DATA: [f64; 15] = [
 235 |     10.0, 20.0, 40.0, 80.0, 220.0, 400.0, 900.0, 1800.0, 3100.0, 6500.0, 11500.0, 20000.0, 50000.0,
 236 |     120000.0, 350000.0,
 237 | ];
 238 | 
 239 | static RAW_ESTIMATE_DATA: &[&[f64]] = &[
 240 |     &[
 241 |         11.0, 11.717, 12.207, 12.7896, 13.2882, 13.8204, 14.3772, 14.9342, 15.5202, 16.161,
 242 |         16.7722, 17.4636, 18.0396, 18.6766, 19.3566, 20.0454, 20.7936, 21.4856, 22.2666, 22.9946,
 243 |         23.766, 24.4692, 25.3638, 26.0764, 26.7864, 27.7602, 28.4814, 29.433, 30.2926, 31.0664,
 244 |         31.9996, 32.7956, 33.5366, 34.5894, 35.5738, 36.2698, 37.3682, 38.0544, 39.2342, 40.0108,
 245 |         40.7966, 41.9298, 42.8704, 43.6358, 44.5194, 45.773, 46.6772, 47.6174, 48.4888, 49.3304,
 246 |         50.2506, 51.4996, 52.3824, 53.3078, 54.3984, 55.5838, 56.6618, 57.2174, 58.3514, 59.0802,
 247 |         60.1482, 61.0376, 62.3598, 62.8078, 63.9744, 64.914, 65.781, 67.1806, 68.0594, 68.8446,
 248 |         69.7928, 70.8248, 71.8324, 72.8598, 73.6246, 74.7014, 75.393, 76.6708, 77.2394,
 249 |     ],
 250 |     &[
 251 |         23.0, 23.1194, 23.8208, 24.2318, 24.77, 25.2436, 25.7774, 26.2848, 26.8224, 27.3742,
 252 |         27.9336, 28.503, 29.0494, 29.6292, 30.2124, 30.798, 31.367, 31.9728, 32.5944, 33.217,
 253 |         33.8438, 34.3696, 35.0956, 35.7044, 36.324, 37.0668, 37.6698, 38.3644, 39.049, 39.6918,
 254 |         40.4146, 41.082, 41.687, 42.5398, 43.2462, 43.857, 44.6606, 45.4168, 46.1248, 46.9222,
 255 |         47.6804, 48.447, 49.3454, 49.9594, 50.7636, 51.5776, 52.331, 53.19, 53.9676, 54.7564,
 256 |         55.5314, 56.4442, 57.3708, 57.9774, 58.9624, 59.8796, 60.755, 61.472, 62.2076, 63.1024,
 257 |         63.8908, 64.7338, 65.7728, 66.629, 67.413, 68.3266, 69.1524, 70.2642, 71.1806, 72.0566,
 258 |         72.9192, 73.7598, 74.3516, 75.5802, 76.4386, 77.4916, 78.1524, 79.1892, 79.8414, 80.8798,
 259 |         81.8376, 82.4698, 83.7656, 84.331, 85.5914, 86.6012, 87.7016, 88.5582, 89.3394, 90.3544,
 260 |         91.4912, 92.308, 93.3552, 93.9746, 95.2052, 95.727, 97.1322, 98.3944, 98.7588, 100.242,
 261 |         101.1914, 102.2538, 102.8776, 103.6292, 105.1932, 105.9152, 107.0868, 107.6728, 108.7144,
 262 |         110.3114, 110.8716, 111.245, 112.7908, 113.7064, 114.636, 115.7464, 116.1788, 117.7464,
 263 |         118.4896, 119.6166, 120.5082, 121.7798, 122.9028, 123.4426, 124.8854, 125.705, 126.4652,
 264 |         128.3464, 128.3462, 130.0398, 131.0342, 131.0042, 132.4766, 133.511, 134.7252, 135.425,
 265 |         136.5172, 138.0572, 138.6694, 139.3712, 140.8598, 141.4594, 142.554, 143.4006, 144.7374,
 266 |         146.1634, 146.8994, 147.605, 147.9304, 149.1636, 150.2468, 151.5876, 152.2096, 153.7032,
 267 |         154.7146, 155.807, 156.9228, 157.0372, 158.5852,
 268 |     ],
 269 |     &[
 270 |         46.0, 46.1902, 47.271, 47.8358, 48.8142, 49.2854, 50.317, 51.354, 51.8924, 52.9436,
 271 |         53.4596, 54.5262, 55.6248, 56.1574, 57.2822, 57.837, 58.9636, 60.074, 60.7042, 61.7976,
 272 |         62.4772, 63.6564, 64.7942, 65.5004, 66.686, 67.291, 68.5672, 69.8556, 70.4982, 71.8204,
 273 |         72.4252, 73.7744, 75.0786, 75.8344, 77.0294, 77.8098, 79.0794, 80.5732, 81.1878, 82.5648,
 274 |         83.2902, 84.6784, 85.3352, 86.8946, 88.3712, 89.0852, 90.499, 91.2686, 92.6844, 94.2234,
 275 |         94.9732, 96.3356, 97.2286, 98.7262, 100.3284, 101.1048, 102.5962, 103.3562, 105.1272,
 276 |         106.4184, 107.4974, 109.0822, 109.856, 111.48, 113.2834, 114.0208, 115.637, 116.5174,
 277 |         118.0576, 119.7476, 120.427, 122.1326, 123.2372, 125.2788, 126.6776, 127.7926, 129.1952,
 278 |         129.9564, 131.6454, 133.87, 134.5428, 136.2, 137.0294, 138.6278, 139.6782, 141.792,
 279 |         143.3516, 144.2832, 146.0394, 147.0748, 148.4912, 150.849, 151.696, 153.5404, 154.073,
 280 |         156.3714, 157.7216, 158.7328, 160.4208, 161.4184, 163.9424, 165.2772, 166.411, 168.1308,
 281 |         168.769, 170.9258, 172.6828, 173.7502, 175.706, 176.3886, 179.0186, 180.4518, 181.927,
 282 |         183.4172, 184.4114, 186.033, 188.5124, 189.5564, 191.6008, 192.4172, 193.8044, 194.997,
 283 |         197.4548, 198.8948, 200.2346, 202.3086, 203.1548, 204.8842, 206.6508, 206.6772, 209.7254,
 284 |         210.4752, 212.7228, 214.6614, 215.1676, 217.793, 218.0006, 219.9052, 221.66, 223.5588,
 285 |         225.1636, 225.6882, 227.7126, 229.4502, 231.1978, 232.9756, 233.1654, 236.727, 238.1974,
 286 |         237.7474, 241.1346, 242.3048, 244.1948, 245.3134, 246.879, 249.1204, 249.853, 252.6792,
 287 |         253.857, 254.4486, 257.2362, 257.9534, 260.0286, 260.5632, 262.663, 264.723, 265.7566,
 288 |         267.2566, 267.1624, 270.62, 272.8216, 273.2166, 275.2056, 276.2202, 278.3726, 280.3344,
 289 |         281.9284, 283.9728, 284.1924, 286.4872, 287.587, 289.807, 291.1206, 292.769, 294.8708,
 290 |         296.665, 297.1182, 299.4012, 300.6352, 302.1354, 304.1756, 306.1606, 307.3462, 308.5214,
 291 |         309.4134, 310.8352, 313.9684, 315.837, 316.7796, 318.9858,
 292 |     ],
 293 |     &[
 294 |         92.0, 93.4934, 94.9758, 96.4574, 97.9718, 99.4954, 101.5302, 103.0756, 104.6374, 106.1782,
 295 |         107.7888, 109.9522, 111.592, 113.2532, 114.9086, 116.5938, 118.9474, 120.6796, 122.4394,
 296 |         124.2176, 125.9768, 128.4214, 130.2528, 132.0102, 133.8658, 135.7278, 138.3044, 140.1316,
 297 |         142.093, 144.0032, 145.9092, 148.6306, 150.5294, 152.5756, 154.6508, 156.662, 159.552,
 298 |         161.3724, 163.617, 165.5754, 167.7872, 169.8444, 172.7988, 174.8606, 177.2118, 179.3566,
 299 |         181.4476, 184.5882, 186.6816, 189.0824, 191.0258, 193.6048, 196.4436, 198.7274, 200.957,
 300 |         203.147, 205.4364, 208.7592, 211.3386, 213.781, 215.8028, 218.656, 221.6544, 223.996,
 301 |         226.4718, 229.1544, 231.6098, 234.5956, 237.0616, 239.5758, 242.4878, 244.5244, 248.2146,
 302 |         250.724, 252.8722, 255.5198, 258.0414, 261.941, 264.9048, 266.87, 269.4304, 272.028,
 303 |         274.4708, 278.37, 281.0624, 283.4668, 286.5532, 289.4352, 293.2564, 295.2744, 298.2118,
 304 |         300.7472, 304.1456, 307.2928, 309.7504, 312.5528, 315.979, 318.2102, 322.1834, 324.3494,
 305 |         327.325, 330.6614, 332.903, 337.2544, 339.9042, 343.215, 345.2864, 348.0814, 352.6764,
 306 |         355.301, 357.139, 360.658, 363.1732, 366.5902, 369.9538, 373.0828, 375.922, 378.9902,
 307 |         382.7328, 386.4538, 388.1136, 391.2234, 394.0878, 396.708, 401.1556, 404.1852, 406.6372,
 308 |         409.6822, 412.7796, 416.6078, 418.4916, 422.131, 424.5376, 428.1988, 432.211, 434.4502,
 309 |         438.5282, 440.912, 444.0448, 447.7432, 450.8524, 453.7988, 456.7858, 458.8868, 463.9886,
 310 |         466.5064, 468.9124, 472.6616, 475.4682, 478.582, 481.304, 485.2738, 488.6894, 490.329,
 311 |         496.106, 497.6908, 501.1374, 504.5322, 506.8848, 510.3324, 513.4512, 516.179, 520.4412,
 312 |         522.6066, 526.167, 528.7794, 533.379, 536.067, 538.46, 542.9116, 545.692, 547.9546,
 313 |         552.493, 555.2722, 557.335, 562.449, 564.2014, 569.0738, 571.0974, 574.8564, 578.2996,
 314 |         581.409, 583.9704, 585.8098, 589.6528, 594.5998, 595.958, 600.068, 603.3278, 608.2016,
 315 |         609.9632, 612.864, 615.43, 620.7794, 621.272, 625.8644, 629.206, 633.219, 634.5154,
 316 |         638.6102,
 317 |     ],
 318 |     &[
 319 |         184.2152, 187.2454, 190.2096, 193.6652, 196.6312, 199.6822, 203.249, 206.3296, 210.0038,
 320 |         213.2074, 216.4612, 220.27, 223.5178, 227.4412, 230.8032, 234.1634, 238.1688, 241.6074,
 321 |         245.6946, 249.2664, 252.8228, 257.0432, 260.6824, 264.9464, 268.6268, 272.2626, 276.8376,
 322 |         280.4034, 284.8956, 288.8522, 292.7638, 297.3552, 301.3556, 305.7526, 309.9292, 313.8954,
 323 |         318.8198, 322.7668, 327.298, 331.6688, 335.9466, 340.9746, 345.1672, 349.3474, 354.3028,
 324 |         358.8912, 364.114, 368.4646, 372.9744, 378.4092, 382.6022, 387.843, 392.5684, 397.1652,
 325 |         402.5426, 407.4152, 412.5388, 417.3592, 422.1366, 427.486, 432.3918, 437.5076, 442.509,
 326 |         447.3834, 453.3498, 458.0668, 463.7346, 469.1228, 473.4528, 479.7, 484.644, 491.0518,
 327 |         495.5774, 500.9068, 506.432, 512.1666, 517.434, 522.6644, 527.4894, 533.6312, 538.3804,
 328 |         544.292, 550.5496, 556.0234, 562.8206, 566.6146, 572.4188, 579.117, 583.6762, 590.6576,
 329 |         595.7864, 601.509, 607.5334, 612.9204, 619.772, 624.2924, 630.8654, 636.1836, 642.745,
 330 |         649.1316, 655.0386, 660.0136, 666.6342, 671.6196, 678.1866, 684.4282, 689.3324, 695.4794,
 331 |         702.5038, 708.129, 713.528, 720.3204, 726.463, 732.7928, 739.123, 744.7418, 751.2192,
 332 |         756.5102, 762.6066, 769.0184, 775.2224, 781.4014, 787.7618, 794.1436, 798.6506, 805.6378,
 333 |         811.766, 819.7514, 824.5776, 828.7322, 837.8048, 843.6302, 849.9336, 854.4798, 861.3388,
 334 |         867.9894, 873.8196, 880.3136, 886.2308, 892.4588, 899.0816, 905.4076, 912.0064, 917.3878,
 335 |         923.619, 929.998, 937.3482, 943.9506, 947.991, 955.1144, 962.203, 968.8222, 975.7324,
 336 |         981.7826, 988.7666, 994.2648, 1000.3128, 1007.4082, 1013.7536, 1020.3376, 1026.7156,
 337 |         1031.7478, 1037.4292, 1045.393, 1051.2278, 1058.3434, 1062.8726, 1071.884, 1076.806,
 338 |         1082.9176, 1089.1678, 1095.5032, 1102.525, 1107.2264, 1115.315, 1120.93, 1127.252,
 339 |         1134.1496, 1139.0408, 1147.5448, 1153.3296, 1158.1974, 1166.5262, 1174.3328, 1175.657,
 340 |         1184.4222, 1190.9172, 1197.1292, 1204.4606, 1210.4578, 1218.8728, 1225.3336, 1226.6592,
 341 |         1236.5768, 1241.363, 1249.4074, 1254.6566, 1260.8014, 1266.5454, 1274.5192,
 342 |     ],
 343 |     &[
 344 |         369.0, 374.8294, 381.2452, 387.6698, 394.1464, 400.2024, 406.8782, 413.6598, 420.462,
 345 |         427.2826, 433.7102, 440.7416, 447.9366, 455.1046, 462.285, 469.0668, 476.306, 483.8448,
 346 |         491.301, 498.9886, 506.2422, 513.8138, 521.7074, 529.7428, 537.8402, 545.1664, 553.3534,
 347 |         561.594, 569.6886, 577.7876, 585.65, 594.228, 602.8036, 611.1666, 620.0818, 628.0824,
 348 |         637.2574, 646.302, 655.1644, 664.0056, 672.3802, 681.7192, 690.5234, 700.2084, 708.831,
 349 |         718.485, 728.1112, 737.4764, 746.76, 756.3368, 766.5538, 775.5058, 785.2646, 795.5902,
 350 |         804.3818, 814.8998, 824.9532, 835.2062, 845.2798, 854.4728, 864.9582, 875.3292, 886.171,
 351 |         896.781, 906.5716, 916.7048, 927.5322, 937.875, 949.3972, 958.3464, 969.7274, 980.2834,
 352 |         992.1444, 1003.4264, 1013.0166, 1024.018, 1035.0438, 1046.34, 1057.6856, 1068.9836,
 353 |         1079.0312, 1091.677, 1102.3188, 1113.4846, 1124.4424, 1135.739, 1147.1488, 1158.9202,
 354 |         1169.406, 1181.5342, 1193.2834, 1203.8954, 1216.3286, 1226.2146, 1239.6684, 1251.9946,
 355 |         1262.123, 1275.4338, 1285.7378, 1296.076, 1308.9692, 1320.4964, 1333.0998, 1343.9864,
 356 |         1357.7754, 1368.3208, 1380.4838, 1392.7388, 1406.0758, 1416.9098, 1428.9728, 1440.9228,
 357 |         1453.9292, 1462.617, 1476.05, 1490.2996, 1500.6128, 1513.7392, 1524.5174, 1536.6322,
 358 |         1548.2584, 1562.3766, 1572.423, 1587.1232, 1596.5164, 1610.5938, 1622.5972, 1633.1222,
 359 |         1647.7674, 1658.5044, 1671.57, 1683.7044, 1695.4142, 1708.7102, 1720.6094, 1732.6522,
 360 |         1747.841, 1756.4072, 1769.9786, 1782.3276, 1797.5216, 1808.3186, 1819.0694, 1834.354,
 361 |         1844.575, 1856.2808, 1871.1288, 1880.7852, 1893.9622, 1906.3418, 1920.6548, 1932.9302,
 362 |         1945.8584, 1955.473, 1968.8248, 1980.6446, 1995.9598, 2008.349, 2019.8556, 2033.0334,
 363 |         2044.0206, 2059.3956, 2069.9174, 2082.6084, 2093.7036, 2106.6108, 2118.9124, 2132.301,
 364 |         2144.7628, 2159.8422, 2171.0212, 2183.101, 2193.5112, 2208.052, 2221.3194, 2233.3282,
 365 |         2247.295, 2257.7222, 2273.342, 2286.5638, 2299.6786, 2310.8114, 2322.3312, 2335.516,
 366 |         2349.874, 2363.5968, 2373.865, 2387.1918, 2401.8328, 2414.8496, 2424.544, 2436.7592,
 367 |         2447.1682, 2464.1958, 2474.3438, 2489.0006, 2497.4526, 2513.6586, 2527.19, 2540.7028,
 368 |         2553.768,
 369 |     ],
 370 |     &[
 371 |         738.1256, 750.4234, 763.1064, 775.4732, 788.4636, 801.0644, 814.488, 827.9654, 841.0832,
 372 |         854.7864, 868.1992, 882.2176, 896.5228, 910.1716, 924.7752, 938.899, 953.6126, 968.6492,
 373 |         982.9474, 998.5214, 1013.1064, 1028.6364, 1044.2468, 1059.4588, 1075.3832, 1091.0584,
 374 |         1106.8606, 1123.3868, 1139.5062, 1156.1862, 1172.463, 1189.339, 1206.1936, 1223.1292,
 375 |         1240.1854, 1257.2908, 1275.3324, 1292.8518, 1310.5204, 1328.4854, 1345.9318, 1364.552,
 376 |         1381.4658, 1400.4256, 1419.849, 1438.152, 1456.8956, 1474.8792, 1494.118, 1513.62,
 377 |         1532.5132, 1551.9322, 1570.7726, 1590.6086, 1610.5332, 1630.5918, 1650.4294, 1669.7662,
 378 |         1690.4106, 1710.7338, 1730.9012, 1750.4486, 1770.1556, 1791.6338, 1812.7312, 1833.6264,
 379 |         1853.9526, 1874.8742, 1896.8326, 1918.1966, 1939.5594, 1961.07, 1983.037, 2003.1804,
 380 |         2026.071, 2047.4884, 2070.0848, 2091.2944, 2114.333, 2135.9626, 2158.2902, 2181.0814,
 381 |         2202.0334, 2224.4832, 2246.39, 2269.7202, 2292.1714, 2314.2358, 2338.9346, 2360.891,
 382 |         2384.0264, 2408.3834, 2430.1544, 2454.8684, 2476.9896, 2501.4368, 2522.8702, 2548.0408,
 383 |         2570.6738, 2593.5208, 2617.0158, 2640.2302, 2664.0962, 2687.4986, 2714.2588, 2735.3914,
 384 |         2759.6244, 2781.8378, 2808.0072, 2830.6516, 2856.2454, 2877.2136, 2903.4546, 2926.785,
 385 |         2951.2294, 2976.468, 3000.867, 3023.6508, 3049.91, 3073.5984, 3098.162, 3121.5564,
 386 |         3146.2328, 3170.9484, 3195.5902, 3221.3346, 3242.7032, 3271.6112, 3296.5546, 3317.7376,
 387 |         3345.072, 3369.9518, 3394.326, 3418.1818, 3444.6926, 3469.086, 3494.2754, 3517.8698,
 388 |         3544.248, 3565.3768, 3588.7234, 3616.979, 3643.7504, 3668.6812, 3695.72, 3719.7392,
 389 |         3742.6224, 3770.4456, 3795.6602, 3819.9058, 3844.002, 3869.517, 3895.6824, 3920.8622,
 390 |         3947.1364, 3973.985, 3995.4772, 4021.62, 4046.628, 4074.65, 4096.2256, 4121.831, 4146.6406,
 391 |         4173.276, 4195.0744, 4223.9696, 4251.3708, 4272.9966, 4300.8046, 4326.302, 4353.1248,
 392 |         4374.312, 4403.0322, 4426.819, 4450.0598, 4478.5206, 4504.8116, 4528.8928, 4553.9584,
 393 |         4578.8712, 4603.8384, 4632.3872, 4655.5128, 4675.821, 4704.6222, 4731.9862, 4755.4174,
 394 |         4781.2628, 4804.332, 4832.3048, 4862.8752, 4883.4148, 4906.9544, 4935.3516, 4954.3532,
 395 |         4984.0248, 5011.217, 5035.3258, 5057.3672, 5084.1828,
 396 |     ],
 397 |     &[
 398 |         1477.0, 1501.6014, 1526.5802, 1551.7942, 1577.3042, 1603.2062, 1629.8402, 1656.2292,
 399 |         1682.9462, 1709.9926, 1737.3026, 1765.4252, 1793.0578, 1821.6092, 1849.626, 1878.5568,
 400 |         1908.527, 1937.5154, 1967.1874, 1997.3878, 2027.37, 2058.1972, 2089.5728, 2120.1012,
 401 |         2151.9668, 2183.292, 2216.0772, 2247.8578, 2280.6562, 2313.041, 2345.714, 2380.3112,
 402 |         2414.1806, 2447.9854, 2481.656, 2516.346, 2551.5154, 2586.8378, 2621.7448, 2656.6722,
 403 |         2693.5722, 2729.1462, 2765.4124, 2802.8728, 2838.898, 2876.408, 2913.4926, 2951.4938,
 404 |         2989.6776, 3026.282, 3065.7704, 3104.1012, 3143.7388, 3181.6876, 3221.1872, 3261.5048,
 405 |         3300.0214, 3339.806, 3381.409, 3421.4144, 3461.4294, 3502.2286, 3544.651, 3586.6156,
 406 |         3627.337, 3670.083, 3711.1538, 3753.5094, 3797.01, 3838.6686, 3882.1678, 3922.8116,
 407 |         3967.9978, 4009.9204, 4054.3286, 4097.5706, 4140.6014, 4185.544, 4229.5976, 4274.583,
 408 |         4316.9438, 4361.672, 4406.2786, 4451.8628, 4496.1834, 4543.505, 4589.1816, 4632.5188,
 409 |         4678.2294, 4724.8908, 4769.0194, 4817.052, 4861.4588, 4910.1596, 4956.4344, 5002.5238,
 410 |         5048.13, 5093.6374, 5142.8162, 5187.7894, 5237.3984, 5285.6078, 5331.0858, 5379.1036,
 411 |         5428.6258, 5474.6018, 5522.7618, 5571.5822, 5618.59, 5667.9992, 5714.88, 5763.454,
 412 |         5808.6982, 5860.3644, 5910.2914, 5953.571, 6005.9232, 6055.1914, 6104.5882, 6154.5702,
 413 |         6199.7036, 6251.1764, 6298.7596, 6350.0302, 6398.061, 6448.4694, 6495.933, 6548.0474,
 414 |         6597.7166, 6646.9416, 6695.9208, 6742.6328, 6793.5276, 6842.1934, 6894.2372, 6945.3864,
 415 |         6996.9228, 7044.2372, 7094.1374, 7142.2272, 7192.2942, 7238.8338, 7288.9006, 7344.0908,
 416 |         7394.8544, 7443.5176, 7490.4148, 7542.9314, 7595.6738, 7641.9878, 7694.3688, 7743.0448,
 417 |         7797.522, 7845.53, 7899.594, 7950.3132, 7996.455, 8050.9442, 8092.9114, 8153.1374,
 418 |         8197.4472, 8252.8278, 8301.8728, 8348.6776, 8401.4698, 8453.551, 8504.6598, 8553.8944,
 419 |         8604.1276, 8657.6514, 8710.3062, 8758.908, 8807.8706, 8862.1702, 8910.4668, 8960.77,
 420 |         9007.2766, 9063.164, 9121.0534, 9164.1354, 9218.1594, 9267.767, 9319.0594, 9372.155,
 421 |         9419.7126, 9474.3722, 9520.1338, 9572.368, 9622.7702, 9675.8448, 9726.5396, 9778.7378,
 422 |         9827.6554, 9878.1922, 9928.7782, 9978.3984, 10026.578, 10076.5626, 10137.1618, 10177.5244,
 423 |         10229.9176,
 424 |     ],
 425 |     &[
 426 |         2954.0, 3003.4782, 3053.3568, 3104.3666, 3155.324, 3206.9598, 3259.648, 3312.539,
 427 |         3366.1474, 3420.2576, 3474.8376, 3530.6076, 3586.451, 3643.38, 3700.4104, 3757.5638,
 428 |         3815.9676, 3875.193, 3934.838, 3994.8548, 4055.018, 4117.1742, 4178.4482, 4241.1294,
 429 |         4304.4776, 4367.4044, 4431.8724, 4496.3732, 4561.4304, 4627.5326, 4693.949, 4761.5532,
 430 |         4828.7256, 4897.6182, 4965.5186, 5034.4528, 5104.865, 5174.7164, 5244.6828, 5316.6708,
 431 |         5387.8312, 5459.9036, 5532.476, 5604.8652, 5679.6718, 5753.757, 5830.2072, 5905.2828,
 432 |         5980.0434, 6056.6264, 6134.3192, 6211.5746, 6290.0816, 6367.1176, 6447.9796, 6526.5576,
 433 |         6606.1858, 6686.9144, 6766.1142, 6847.0818, 6927.9664, 7010.9096, 7091.0816, 7175.3962,
 434 |         7260.3454, 7344.018, 7426.4214, 7511.3106, 7596.0686, 7679.8094, 7765.818, 7852.4248,
 435 |         7936.834, 8022.363, 8109.5066, 8200.4554, 8288.5832, 8373.366, 8463.4808, 8549.7682,
 436 |         8642.0522, 8728.3288, 8820.9528, 8907.727, 9001.0794, 9091.2522, 9179.988, 9269.852,
 437 |         9362.6394, 9453.642, 9546.9024, 9640.6616, 9732.6622, 9824.3254, 9917.7484, 10007.9392,
 438 |         10106.7508, 10196.2152, 10289.8114, 10383.5494, 10482.3064, 10576.8734, 10668.7872,
 439 |         10764.7156, 10862.0196, 10952.793, 11049.9748, 11146.0702, 11241.4492, 11339.2772,
 440 |         11434.2336, 11530.741, 11627.6136, 11726.311, 11821.5964, 11918.837, 12015.3724,
 441 |         12113.0162, 12213.0424, 12306.9804, 12408.4518, 12504.8968, 12604.586, 12700.9332,
 442 |         12798.705, 12898.5142, 12997.0488, 13094.788, 13198.475, 13292.7764, 13392.9698,
 443 |         13486.8574, 13590.1616, 13686.5838, 13783.6264, 13887.2638, 13992.0978, 14081.0844,
 444 |         14189.9956, 14280.0912, 14382.4956, 14486.4384, 14588.1082, 14686.2392, 14782.276,
 445 |         14888.0284, 14985.1864, 15088.8596, 15187.0998, 15285.027, 15383.6694, 15495.8266,
 446 |         15591.3736, 15694.2008, 15790.3246, 15898.4116, 15997.4522, 16095.5014, 16198.8514,
 447 |         16291.7492, 16402.6424, 16499.1266, 16606.2436, 16697.7186, 16796.3946, 16902.3376,
 448 |         17005.7672, 17100.814, 17206.8282, 17305.8262, 17416.0744, 17508.4092, 17617.0178,
 449 |         17715.4554, 17816.758, 17920.1748, 18012.9236, 18119.7984, 18223.2248, 18324.2482,
 450 |         18426.6276, 18525.0932, 18629.8976, 18733.2588, 18831.0466, 18940.1366, 19032.2696,
 451 |         19131.729, 19243.4864, 19349.6932, 19442.866, 19547.9448, 19653.2798, 19754.4034,
 452 |         19854.0692, 19965.1224, 20065.1774, 20158.2212, 20253.353, 20366.3264, 20463.22,
 453 |     ],
 454 |     &[
 455 |         5908.5052, 6007.2672, 6107.347, 6208.5794, 6311.2622, 6414.5514, 6519.3376, 6625.6952,
 456 |         6732.5988, 6841.3552, 6950.5972, 7061.3082, 7173.5646, 7287.109, 7401.8216, 7516.4344,
 457 |         7633.3802, 7751.2962, 7870.3784, 7990.292, 8110.79, 8233.4574, 8356.6036, 8482.2712,
 458 |         8607.7708, 8735.099, 8863.1858, 8993.4746, 9123.8496, 9255.6794, 9388.5448, 9522.7516,
 459 |         9657.3106, 9792.6094, 9930.5642, 10068.794, 10206.7256, 10347.81, 10490.3196, 10632.0778,
 460 |         10775.9916, 10920.4662, 11066.124, 11213.073, 11358.0362, 11508.1006, 11659.1716,
 461 |         11808.7514, 11959.4884, 12112.1314, 12265.037, 12420.3756, 12578.933, 12734.311,
 462 |         12890.0006, 13047.2144, 13207.3096, 13368.5144, 13528.024, 13689.847, 13852.7528,
 463 |         14018.3168, 14180.5372, 14346.9668, 14513.5074, 14677.867, 14846.2186, 15017.4186,
 464 |         15184.9716, 15356.339, 15529.2972, 15697.3578, 15871.8686, 16042.187, 16216.4094,
 465 |         16389.4188, 16565.9126, 16742.3272, 16919.0042, 17094.7592, 17273.965, 17451.8342,
 466 |         17634.4254, 17810.5984, 17988.9242, 18171.051, 18354.7938, 18539.466, 18721.0408,
 467 |         18904.9972, 19081.867, 19271.9118, 19451.8694, 19637.9816, 19821.2922, 20013.1292,
 468 |         20199.3858, 20387.8726, 20572.9514, 20770.7764, 20955.1714, 21144.751, 21329.9952,
 469 |         21520.709, 21712.7016, 21906.3868, 22096.2626, 22286.0524, 22475.051, 22665.5098,
 470 |         22862.8492, 23055.5294, 23249.6138, 23437.848, 23636.273, 23826.093, 24020.3296,
 471 |         24213.3896, 24411.7392, 24602.9614, 24805.7952, 24998.1552, 25193.9588, 25389.0166,
 472 |         25585.8392, 25780.6976, 25981.2728, 26175.977, 26376.5252, 26570.1964, 26773.387,
 473 |         26962.9812, 27163.0586, 27368.164, 27565.0534, 27758.7428, 27961.1276, 28163.2324,
 474 |         28362.3816, 28565.7668, 28758.644, 28956.9768, 29163.4722, 29354.7026, 29561.1186,
 475 |         29767.9948, 29959.9986, 30164.0492, 30366.9818, 30562.5338, 30762.9928, 30976.1592,
 476 |         31166.274, 31376.722, 31570.3734, 31770.809, 31974.8934, 32179.5286, 32387.5442,
 477 |         32582.3504, 32794.076, 32989.9528, 33191.842, 33392.4684, 33595.659, 33801.8672,
 478 |         34000.3414, 34200.0922, 34402.6792, 34610.0638, 34804.0084, 35011.13, 35218.669,
 479 |         35418.6634, 35619.0792, 35830.6534, 36028.4966, 36229.7902, 36438.6422, 36630.7764,
 480 |         36833.3102, 37048.6728, 37247.3916, 37453.5904, 37669.3614, 37854.5526, 38059.305,
 481 |         38268.0936, 38470.2516, 38674.7064, 38876.167, 39068.3794, 39281.9144, 39492.8566,
 482 |         39684.8628, 39898.4108, 40093.1836, 40297.6858, 40489.7086, 40717.2424,
 483 |     ],
 484 |     &[
 485 |         11817.475, 12015.0046, 12215.3792, 12417.7504, 12623.1814, 12830.0086, 13040.0072,
 486 |         13252.503, 13466.178, 13683.2738, 13902.0344, 14123.9798, 14347.394, 14573.7784,
 487 |         14802.6894, 15033.6824, 15266.9134, 15502.8624, 15741.4944, 15980.7956, 16223.8916,
 488 |         16468.6316, 16715.733, 16965.5726, 17217.204, 17470.666, 17727.8516, 17986.7886,
 489 |         18247.6902, 18510.9632, 18775.304, 19044.7486, 19314.4408, 19587.202, 19862.2576,
 490 |         20135.924, 20417.0324, 20697.9788, 20979.6112, 21265.0274, 21550.723, 21841.6906,
 491 |         22132.162, 22428.1406, 22722.127, 23020.5606, 23319.7394, 23620.4014, 23925.2728,
 492 |         24226.9224, 24535.581, 24845.505, 25155.9618, 25470.3828, 25785.9702, 26103.7764,
 493 |         26420.4132, 26742.0186, 27062.8852, 27388.415, 27714.6024, 28042.296, 28365.4494,
 494 |         28701.1526, 29031.8008, 29364.2156, 29704.497, 30037.1458, 30380.111, 30723.8168,
 495 |         31059.5114, 31404.9498, 31751.6752, 32095.2686, 32444.7792, 32794.767, 33145.204,
 496 |         33498.4226, 33847.6502, 34209.006, 34560.849, 34919.4838, 35274.9778, 35635.1322,
 497 |         35996.3266, 36359.1394, 36722.8266, 37082.8516, 37447.7354, 37815.9606, 38191.0692,
 498 |         38559.4106, 38924.8112, 39294.6726, 39663.973, 40042.261, 40416.2036, 40779.2036,
 499 |         41161.6436, 41540.9014, 41921.1998, 42294.7698, 42678.5264, 43061.3464, 43432.375,
 500 |         43818.432, 44198.6598, 44583.0138, 44970.4794, 45353.924, 45729.858, 46118.2224,
 501 |         46511.5724, 46900.7386, 47280.6964, 47668.1472, 48055.6796, 48446.9436, 48838.7146,
 502 |         49217.7296, 49613.7796, 50010.7508, 50410.0208, 50793.7886, 51190.2456, 51583.1882,
 503 |         51971.0796, 52376.5338, 52763.319, 53165.5534, 53556.5594, 53948.2702, 54346.352,
 504 |         54748.7914, 55138.577, 55543.4824, 55941.1748, 56333.7746, 56745.1552, 57142.7944,
 505 |         57545.2236, 57935.9956, 58348.5268, 58737.5474, 59158.5962, 59542.6896, 59958.8004,
 506 |         60349.3788, 60755.0212, 61147.6144, 61548.194, 61946.0696, 62348.6042, 62763.603,
 507 |         63162.781, 63560.635, 63974.3482, 64366.4908, 64771.5876, 65176.7346, 65597.3916,
 508 |         65995.915, 66394.0384, 66822.9396, 67203.6336, 67612.2032, 68019.0078, 68420.0388,
 509 |         68821.22, 69235.8388, 69640.0724, 70055.155, 70466.357, 70863.4266, 71276.2482, 71677.0306,
 510 |         72080.2006, 72493.0214, 72893.5952, 73314.5856, 73714.9852, 74125.3022, 74521.2122,
 511 |         74933.6814, 75341.5904, 75743.0244, 76166.0278, 76572.1322, 76973.1028, 77381.6284,
 512 |         77800.6092, 78189.328, 78607.0962, 79012.2508, 79407.8358, 79825.725, 80238.701, 80646.891,
 513 |         81035.6436, 81460.0448, 81876.3884,
 514 |     ],
 515 |     &[
 516 |         23635.0036,
 517 |         24030.8034,
 518 |         24431.4744,
 519 |         24837.1524,
 520 |         25246.7928,
 521 |         25661.326,
 522 |         26081.3532,
 523 |         26505.2806,
 524 |         26933.9892,
 525 |         27367.7098,
 526 |         27805.318,
 527 |         28248.799,
 528 |         28696.4382,
 529 |         29148.8244,
 530 |         29605.5138,
 531 |         30066.8668,
 532 |         30534.2344,
 533 |         31006.32,
 534 |         31480.778,
 535 |         31962.2418,
 536 |         32447.3324,
 537 |         32938.0232,
 538 |         33432.731,
 539 |         33930.728,
 540 |         34433.9896,
 541 |         34944.1402,
 542 |         35457.5588,
 543 |         35974.5958,
 544 |         36497.3296,
 545 |         37021.9096,
 546 |         37554.326,
 547 |         38088.0826,
 548 |         38628.8816,
 549 |         39171.3192,
 550 |         39723.2326,
 551 |         40274.5554,
 552 |         40832.3142,
 553 |         41390.613,
 554 |         41959.5908,
 555 |         42532.5466,
 556 |         43102.0344,
 557 |         43683.5072,
 558 |         44266.694,
 559 |         44851.2822,
 560 |         45440.7862,
 561 |         46038.0586,
 562 |         46640.3164,
 563 |         47241.064,
 564 |         47846.155,
 565 |         48454.7396,
 566 |         49076.9168,
 567 |         49692.542,
 568 |         50317.4778,
 569 |         50939.65,
 570 |         51572.5596,
 571 |         52210.2906,
 572 |         52843.7396,
 573 |         53481.3996,
 574 |         54127.236,
 575 |         54770.406,
 576 |         55422.6598,
 577 |         56078.7958,
 578 |         56736.7174,
 579 |         57397.6784,
 580 |         58064.5784,
 581 |         58730.308,
 582 |         59404.9784,
 583 |         60077.0864,
 584 |         60751.9158,
 585 |         61444.1386,
 586 |         62115.817,
 587 |         62808.7742,
 588 |         63501.4774,
 589 |         64187.5454,
 590 |         64883.6622,
 591 |         65582.7468,
 592 |         66274.5318,
 593 |         66976.9276,
 594 |         67688.7764,
 595 |         68402.138,
 596 |         69109.6274,
 597 |         69822.9706,
 598 |         70543.6108,
 599 |         71265.5202,
 600 |         71983.3848,
 601 |         72708.4656,
 602 |         73433.384,
 603 |         74158.4664,
 604 |         74896.4868,
 605 |         75620.9564,
 606 |         76362.1434,
 607 |         77098.3204,
 608 |         77835.7662,
 609 |         78582.6114,
 610 |         79323.9902,
 611 |         80067.8658,
 612 |         80814.9246,
 613 |         81567.0136,
 614 |         82310.8536,
 615 |         83061.9952,
 616 |         83821.4096,
 617 |         84580.8608,
 618 |         85335.547,
 619 |         86092.5802,
 620 |         86851.6506,
 621 |         87612.311,
 622 |         88381.2016,
 623 |         89146.3296,
 624 |         89907.8974,
 625 |         90676.846,
 626 |         91451.4152,
 627 |         92224.5518,
 628 |         92995.8686,
 629 |         93763.5066,
 630 |         94551.2796,
 631 |         95315.1944,
 632 |         96096.1806,
 633 |         96881.0918,
 634 |         97665.679,
 635 |         98442.68,
 636 |         99229.3002,
 637 |         100011.0994,
 638 |         100790.6386,
 639 |         101580.1564,
 640 |         102377.7484,
 641 |         103152.1392,
 642 |         103944.2712,
 643 |         104730.216,
 644 |         105528.6336,
 645 |         106324.9398,
 646 |         107117.6706,
 647 |         107890.3988,
 648 |         108695.2266,
 649 |         109485.238,
 650 |         110294.7876,
 651 |         111075.0958,
 652 |         111878.0496,
 653 |         112695.2864,
 654 |         113464.5486,
 655 |         114270.0474,
 656 |         115068.608,
 657 |         115884.3626,
 658 |         116673.2588,
 659 |         117483.3716,
 660 |         118275.097,
 661 |         119085.4092,
 662 |         119879.2808,
 663 |         120687.5868,
 664 |         121499.9944,
 665 |         122284.916,
 666 |         123095.9254,
 667 |         123912.5038,
 668 |         124709.0454,
 669 |         125503.7182,
 670 |         126323.259,
 671 |         127138.9412,
 672 |         127943.8294,
 673 |         128755.646,
 674 |         129556.5354,
 675 |         130375.3298,
 676 |         131161.4734,
 677 |         131971.1962,
 678 |         132787.5458,
 679 |         133588.1056,
 680 |         134431.351,
 681 |         135220.2906,
 682 |         136023.398,
 683 |         136846.6558,
 684 |         137667.0004,
 685 |         138463.663,
 686 |         139283.7154,
 687 |         140074.6146,
 688 |         140901.3072,
 689 |         141721.8548,
 690 |         142543.2322,
 691 |         143356.1096,
 692 |         144173.7412,
 693 |         144973.0948,
 694 |         145794.3162,
 695 |         146609.5714,
 696 |         147420.003,
 697 |         148237.9784,
 698 |         149050.5696,
 699 |         149854.761,
 700 |         150663.1966,
 701 |         151494.0754,
 702 |         152313.1416,
 703 |         153112.6902,
 704 |         153935.7206,
 705 |         154746.9262,
 706 |         155559.547,
 707 |         156401.9746,
 708 |         157228.7036,
 709 |         158008.7254,
 710 |         158820.75,
 711 |         159646.9184,
 712 |         160470.4458,
 713 |         161279.5348,
 714 |         162093.3114,
 715 |         162918.542,
 716 |         163729.2842,
 717 |     ],
 718 |     &[
 719 |         47271.0,
 720 |         48062.3584,
 721 |         48862.7074,
 722 |         49673.152,
 723 |         50492.8416,
 724 |         51322.9514,
 725 |         52161.03,
 726 |         53009.407,
 727 |         53867.6348,
 728 |         54734.206,
 729 |         55610.5144,
 730 |         56496.2096,
 731 |         57390.795,
 732 |         58297.268,
 733 |         59210.6448,
 734 |         60134.665,
 735 |         61068.0248,
 736 |         62010.4472,
 737 |         62962.5204,
 738 |         63923.5742,
 739 |         64895.0194,
 740 |         65876.4182,
 741 |         66862.6136,
 742 |         67862.6968,
 743 |         68868.8908,
 744 |         69882.8544,
 745 |         70911.271,
 746 |         71944.0924,
 747 |         72990.0326,
 748 |         74040.692,
 749 |         75100.6336,
 750 |         76174.7826,
 751 |         77252.5998,
 752 |         78340.2974,
 753 |         79438.2572,
 754 |         80545.4976,
 755 |         81657.2796,
 756 |         82784.6336,
 757 |         83915.515,
 758 |         85059.7362,
 759 |         86205.9368,
 760 |         87364.4424,
 761 |         88530.3358,
 762 |         89707.3744,
 763 |         90885.9638,
 764 |         92080.197,
 765 |         93275.5738,
 766 |         94479.391,
 767 |         95695.918,
 768 |         96919.2236,
 769 |         98148.4602,
 770 |         99382.3474,
 771 |         100625.6974,
 772 |         101878.0284,
 773 |         103141.6278,
 774 |         104409.4588,
 775 |         105686.2882,
 776 |         106967.5402,
 777 |         108261.6032,
 778 |         109548.1578,
 779 |         110852.0728,
 780 |         112162.231,
 781 |         113479.0072,
 782 |         114806.2626,
 783 |         116137.9072,
 784 |         117469.5048,
 785 |         118813.5186,
 786 |         120165.4876,
 787 |         121516.2556,
 788 |         122875.766,
 789 |         124250.5444,
 790 |         125621.2222,
 791 |         127003.2352,
 792 |         128387.848,
 793 |         129775.2644,
 794 |         131181.7776,
 795 |         132577.3086,
 796 |         133979.9458,
 797 |         135394.1132,
 798 |         136800.9078,
 799 |         138233.217,
 800 |         139668.5308,
 801 |         141085.212,
 802 |         142535.2122,
 803 |         143969.0684,
 804 |         145420.2872,
 805 |         146878.1542,
 806 |         148332.7572,
 807 |         149800.3202,
 808 |         151269.66,
 809 |         152743.6104,
 810 |         154213.0948,
 811 |         155690.288,
 812 |         157169.4246,
 813 |         158672.1756,
 814 |         160160.059,
 815 |         161650.6854,
 816 |         163145.7772,
 817 |         164645.6726,
 818 |         166159.1952,
 819 |         167682.1578,
 820 |         169177.3328,
 821 |         170700.0118,
 822 |         172228.8964,
 823 |         173732.6664,
 824 |         175265.5556,
 825 |         176787.799,
 826 |         178317.111,
 827 |         179856.6914,
 828 |         181400.865,
 829 |         182943.4612,
 830 |         184486.742,
 831 |         186033.4698,
 832 |         187583.7886,
 833 |         189148.1868,
 834 |         190688.4526,
 835 |         192250.1926,
 836 |         193810.9042,
 837 |         195354.2972,
 838 |         196938.7682,
 839 |         198493.5898,
 840 |         200079.2824,
 841 |         201618.912,
 842 |         203205.5492,
 843 |         204765.5798,
 844 |         206356.1124,
 845 |         207929.3064,
 846 |         209498.7196,
 847 |         211086.229,
 848 |         212675.1324,
 849 |         214256.7892,
 850 |         215826.2392,
 851 |         217412.8474,
 852 |         218995.6724,
 853 |         220618.6038,
 854 |         222207.1166,
 855 |         223781.0364,
 856 |         225387.4332,
 857 |         227005.7928,
 858 |         228590.4336,
 859 |         230217.8738,
 860 |         231805.1054,
 861 |         233408.9,
 862 |         234995.3432,
 863 |         236601.4956,
 864 |         238190.7904,
 865 |         239817.2548,
 866 |         241411.2832,
 867 |         243002.4066,
 868 |         244640.1884,
 869 |         246255.3128,
 870 |         247849.3508,
 871 |         249479.9734,
 872 |         251106.8822,
 873 |         252705.027,
 874 |         254332.9242,
 875 |         255935.129,
 876 |         257526.9014,
 877 |         259154.772,
 878 |         260777.625,
 879 |         262390.253,
 880 |         264004.4906,
 881 |         265643.59,
 882 |         267255.4076,
 883 |         268873.426,
 884 |         270470.7252,
 885 |         272106.4804,
 886 |         273722.4456,
 887 |         275337.794,
 888 |         276945.7038,
 889 |         278592.9154,
 890 |         280204.3726,
 891 |         281841.1606,
 892 |         283489.171,
 893 |         285130.1716,
 894 |         286735.3362,
 895 |         288364.7164,
 896 |         289961.1814,
 897 |         291595.5524,
 898 |         293285.683,
 899 |         294899.6668,
 900 |         296499.3434,
 901 |         298128.0462,
 902 |         299761.8946,
 903 |         301394.2424,
 904 |         302997.6748,
 905 |         304615.1478,
 906 |         306269.7724,
 907 |         307886.114,
 908 |         309543.1028,
 909 |         311153.2862,
 910 |         312782.8546,
 911 |         314421.2008,
 912 |         316033.2438,
 913 |         317692.9636,
 914 |         319305.2648,
 915 |         320948.7406,
 916 |         322566.3364,
 917 |         324228.4224,
 918 |         325847.1542,
 919 |     ],
 920 |     &[
 921 |         94542.0,
 922 |         96125.811,
 923 |         97728.019,
 924 |         99348.558,
 925 |         100987.9705,
 926 |         102646.7565,
 927 |         104324.5125,
 928 |         106021.7435,
 929 |         107736.7865,
 930 |         109469.272,
 931 |         111223.9465,
 932 |         112995.219,
 933 |         114787.432,
 934 |         116593.152,
 935 |         118422.71,
 936 |         120267.2345,
 937 |         122134.6765,
 938 |         124020.937,
 939 |         125927.2705,
 940 |         127851.255,
 941 |         129788.9485,
 942 |         131751.016,
 943 |         133726.8225,
 944 |         135722.592,
 945 |         137736.789,
 946 |         139770.568,
 947 |         141821.518,
 948 |         143891.343,
 949 |         145982.1415,
 950 |         148095.387,
 951 |         150207.526,
 952 |         152355.649,
 953 |         154515.6415,
 954 |         156696.05,
 955 |         158887.7575,
 956 |         161098.159,
 957 |         163329.852,
 958 |         165569.053,
 959 |         167837.4005,
 960 |         170121.6165,
 961 |         172420.4595,
 962 |         174732.6265,
 963 |         177062.77,
 964 |         179412.502,
 965 |         181774.035,
 966 |         184151.939,
 967 |         186551.6895,
 968 |         188965.691,
 969 |         191402.8095,
 970 |         193857.949,
 971 |         196305.0775,
 972 |         198774.6715,
 973 |         201271.2585,
 974 |         203764.78,
 975 |         206299.3695,
 976 |         208818.1365,
 977 |         211373.115,
 978 |         213946.7465,
 979 |         216532.076,
 980 |         219105.541,
 981 |         221714.5375,
 982 |         224337.5135,
 983 |         226977.5125,
 984 |         229613.0655,
 985 |         232270.2685,
 986 |         234952.2065,
 987 |         237645.3555,
 988 |         240331.1925,
 989 |         243034.517,
 990 |         245756.0725,
 991 |         248517.6865,
 992 |         251232.737,
 993 |         254011.3955,
 994 |         256785.995,
 995 |         259556.44,
 996 |         262368.335,
 997 |         265156.911,
 998 |         267965.266,
 999 |         270785.583,
1000 |         273616.0495,
1001 |         276487.4835,
1002 |         279346.639,
1003 |         282202.509,
1004 |         285074.3885,
1005 |         287942.2855,
1006 |         290856.018,
1007 |         293774.0345,
1008 |         296678.5145,
1009 |         299603.6355,
1010 |         302552.6575,
1011 |         305492.9785,
1012 |         308466.8605,
1013 |         311392.581,
1014 |         314347.538,
1015 |         317319.4295,
1016 |         320285.9785,
1017 |         323301.7325,
1018 |         326298.3235,
1019 |         329301.3105,
1020 |         332301.987,
1021 |         335309.791,
1022 |         338370.762,
1023 |         341382.923,
1024 |         344431.1265,
1025 |         347464.1545,
1026 |         350507.28,
1027 |         353619.2345,
1028 |         356631.2005,
1029 |         359685.203,
1030 |         362776.7845,
1031 |         365886.488,
1032 |         368958.2255,
1033 |         372060.6825,
1034 |         375165.4335,
1035 |         378237.935,
1036 |         381328.311,
1037 |         384430.5225,
1038 |         387576.425,
1039 |         390683.242,
1040 |         393839.648,
1041 |         396977.8425,
1042 |         400101.9805,
1043 |         403271.296,
1044 |         406409.8425,
1045 |         409529.5485,
1046 |         412678.7,
1047 |         415847.423,
1048 |         419020.8035,
1049 |         422157.081,
1050 |         425337.749,
1051 |         428479.6165,
1052 |         431700.902,
1053 |         434893.1915,
1054 |         438049.582,
1055 |         441210.5415,
1056 |         444379.2545,
1057 |         447577.356,
1058 |         450741.931,
1059 |         453959.548,
1060 |         457137.0935,
1061 |         460329.846,
1062 |         463537.4815,
1063 |         466732.3345,
1064 |         469960.5615,
1065 |         473164.681,
1066 |         476347.6345,
1067 |         479496.173,
1068 |         482813.1645,
1069 |         486025.6995,
1070 |         489249.4885,
1071 |         492460.1945,
1072 |         495675.8805,
1073 |         498908.0075,
1074 |         502131.802,
1075 |         505374.3855,
1076 |         508550.9915,
1077 |         511806.7305,
1078 |         515026.776,
1079 |         518217.0005,
1080 |         521523.9855,
1081 |         524705.9855,
1082 |         527950.997,
1083 |         531210.0265,
1084 |         534472.497,
1085 |         537750.7315,
1086 |         540926.922,
1087 |         544207.094,
1088 |         547429.4345,
1089 |         550666.3745,
1090 |         553975.3475,
1091 |         557150.7185,
1092 |         560399.6165,
1093 |         563662.697,
1094 |         566916.7395,
1095 |         570146.1215,
1096 |         573447.425,
1097 |         576689.6245,
1098 |         579874.5745,
1099 |         583202.337,
1100 |         586503.0255,
1101 |         589715.635,
1102 |         592910.161,
1103 |         596214.3885,
1104 |         599488.035,
1105 |         602740.92,
1106 |         605983.0685,
1107 |         609248.67,
1108 |         612491.3605,
1109 |         615787.912,
1110 |         619107.5245,
1111 |         622307.9555,
1112 |         625577.333,
1113 |         628840.4385,
1114 |         632085.2155,
1115 |         635317.6135,
1116 |         638691.7195,
1117 |         641887.467,
1118 |         645139.9405,
1119 |         648441.546,
1120 |         651666.252,
1121 |         654941.845,
1122 |     ],
1123 |     &[
1124 |         189084.0,
1125 |         192250.913,
1126 |         195456.774,
1127 |         198696.946,
1128 |         201977.762,
1129 |         205294.444,
1130 |         208651.754,
1131 |         212042.099,
1132 |         215472.269,
1133 |         218941.91,
1134 |         222443.912,
1135 |         225996.845,
1136 |         229568.199,
1137 |         233193.568,
1138 |         236844.457,
1139 |         240543.233,
1140 |         244279.475,
1141 |         248044.27,
1142 |         251854.588,
1143 |         255693.2,
1144 |         259583.619,
1145 |         263494.621,
1146 |         267445.385,
1147 |         271454.061,
1148 |         275468.769,
1149 |         279549.456,
1150 |         283646.446,
1151 |         287788.198,
1152 |         291966.099,
1153 |         296181.164,
1154 |         300431.469,
1155 |         304718.618,
1156 |         309024.004,
1157 |         313393.508,
1158 |         317760.803,
1159 |         322209.731,
1160 |         326675.061,
1161 |         331160.627,
1162 |         335654.47,
1163 |         340241.442,
1164 |         344841.833,
1165 |         349467.132,
1166 |         354130.629,
1167 |         358819.432,
1168 |         363574.626,
1169 |         368296.587,
1170 |         373118.482,
1171 |         377914.93,
1172 |         382782.301,
1173 |         387680.669,
1174 |         392601.981,
1175 |         397544.323,
1176 |         402529.115,
1177 |         407546.018,
1178 |         412593.658,
1179 |         417638.657,
1180 |         422762.865,
1181 |         427886.169,
1182 |         433017.167,
1183 |         438213.273,
1184 |         443441.254,
1185 |         448692.421,
1186 |         453937.533,
1187 |         459239.049,
1188 |         464529.569,
1189 |         469910.083,
1190 |         475274.03,
1191 |         480684.473,
1192 |         486070.26,
1193 |         491515.237,
1194 |         496995.651,
1195 |         502476.617,
1196 |         507973.609,
1197 |         513497.19,
1198 |         519083.233,
1199 |         524726.509,
1200 |         530305.505,
1201 |         535945.728,
1202 |         541584.404,
1203 |         547274.055,
1204 |         552967.236,
1205 |         558667.862,
1206 |         564360.216,
1207 |         570128.148,
1208 |         575965.08,
1209 |         581701.952,
1210 |         587532.523,
1211 |         593361.144,
1212 |         599246.128,
1213 |         605033.418,
1214 |         610958.779,
1215 |         616837.117,
1216 |         622772.818,
1217 |         628672.04,
1218 |         634675.369,
1219 |         640574.831,
1220 |         646585.739,
1221 |         652574.547,
1222 |         658611.217,
1223 |         664642.684,
1224 |         670713.914,
1225 |         676737.681,
1226 |         682797.313,
1227 |         688837.897,
1228 |         694917.874,
1229 |         701009.882,
1230 |         707173.648,
1231 |         713257.254,
1232 |         719415.392,
1233 |         725636.761,
1234 |         731710.697,
1235 |         737906.209,
1236 |         744103.074,
1237 |         750313.39,
1238 |         756504.185,
1239 |         762712.579,
1240 |         768876.985,
1241 |         775167.859,
1242 |         781359.0,
1243 |         787615.959,
1244 |         793863.597,
1245 |         800245.477,
1246 |         806464.582,
1247 |         812785.294,
1248 |         819005.925,
1249 |         825403.057,
1250 |         831676.197,
1251 |         837936.284,
1252 |         844266.968,
1253 |         850642.711,
1254 |         856959.756,
1255 |         863322.774,
1256 |         869699.931,
1257 |         876102.478,
1258 |         882355.787,
1259 |         888694.463,
1260 |         895159.952,
1261 |         901536.143,
1262 |         907872.631,
1263 |         914293.672,
1264 |         920615.14,
1265 |         927130.974,
1266 |         933409.404,
1267 |         939922.178,
1268 |         946331.47,
1269 |         952745.93,
1270 |         959209.264,
1271 |         965590.224,
1272 |         972077.284,
1273 |         978501.961,
1274 |         984953.19,
1275 |         991413.271,
1276 |         997817.479,
1277 |         1004222.658,
1278 |         1010725.676,
1279 |         1017177.138,
1280 |         1023612.529,
1281 |         1030098.236,
1282 |         1036493.719,
1283 |         1043112.207,
1284 |         1049537.036,
1285 |         1056008.096,
1286 |         1062476.184,
1287 |         1068942.337,
1288 |         1075524.95,
1289 |         1081932.864,
1290 |         1088426.025,
1291 |         1094776.005,
1292 |         1101327.448,
1293 |         1107901.673,
1294 |         1114423.639,
1295 |         1120884.602,
1296 |         1127324.923,
1297 |         1133794.24,
1298 |         1140328.886,
1299 |         1146849.376,
1300 |         1153346.682,
1301 |         1159836.502,
1302 |         1166478.703,
1303 |         1172953.304,
1304 |         1179391.502,
1305 |         1185950.982,
1306 |         1192544.052,
1307 |         1198913.41,
1308 |         1205430.994,
1309 |         1212015.525,
1310 |         1218674.042,
1311 |         1225121.683,
1312 |         1231551.101,
1313 |         1238126.379,
1314 |         1244673.795,
1315 |         1251260.649,
1316 |         1257697.86,
1317 |         1264320.983,
1318 |         1270736.319,
1319 |         1277274.694,
1320 |         1283804.95,
1321 |         1290211.514,
1322 |         1296858.568,
1323 |         1303455.691,
1324 |     ],
1325 | ];
1326 | 
1327 | static BIAS_DATA: &[&[f64]] = &[
1328 |     &[
1329 |         10.0,
1330 |         9.717,
1331 |         9.207,
1332 |         8.7896,
1333 |         8.2882,
1334 |         7.8204,
1335 |         7.3772,
1336 |         6.9342,
1337 |         6.5202,
1338 |         6.161,
1339 |         5.7722,
1340 |         5.4636,
1341 |         5.0396,
1342 |         4.6766,
1343 |         4.3566,
1344 |         4.0454,
1345 |         3.7936,
1346 |         3.4856,
1347 |         3.2666,
1348 |         2.9946,
1349 |         2.766,
1350 |         2.4692,
1351 |         2.3638,
1352 |         2.0764,
1353 |         1.7864,
1354 |         1.7602,
1355 |         1.4814,
1356 |         1.433,
1357 |         1.2926,
1358 |         1.0664,
1359 |         0.999600000000001,
1360 |         0.7956,
1361 |         0.5366,
1362 |         0.589399999999998,
1363 |         0.573799999999999,
1364 |         0.269799999999996,
1365 |         0.368200000000002,
1366 |         0.0544000000000011,
1367 |         0.234200000000001,
1368 |         0.0108000000000033,
1369 |         -0.203400000000002,
1370 |         -0.0701999999999998,
1371 |         -0.129600000000003,
1372 |         -0.364199999999997,
1373 |         -0.480600000000003,
1374 |         -0.226999999999997,
1375 |         -0.322800000000001,
1376 |         -0.382599999999996,
1377 |         -0.511200000000002,
1378 |         -0.669600000000003,
1379 |         -0.749400000000001,
1380 |         -0.500399999999999,
1381 |         -0.617600000000003,
1382 |         -0.6922,
1383 |         -0.601599999999998,
1384 |         -0.416200000000003,
1385 |         -0.338200000000001,
1386 |         -0.782600000000002,
1387 |         -0.648600000000002,
1388 |         -0.919800000000002,
1389 |         -0.851799999999997,
1390 |         -0.962400000000002,
1391 |         -0.6402,
1392 |         -1.1922,
1393 |         -1.0256,
1394 |         -1.086,
1395 |         -1.21899999999999,
1396 |         -0.819400000000002,
1397 |         -0.940600000000003,
1398 |         -1.1554,
1399 |         -1.2072,
1400 |         -1.1752,
1401 |         -1.16759999999999,
1402 |         -1.14019999999999,
1403 |         -1.3754,
1404 |         -1.29859999999999,
1405 |         -1.607,
1406 |         -1.3292,
1407 |         -1.7606,
1408 |     ],
1409 |     &[
1410 |         22.0,
1411 |         21.1194,
1412 |         20.8208,
1413 |         20.2318,
1414 |         19.77,
1415 |         19.2436,
1416 |         18.7774,
1417 |         18.2848,
1418 |         17.8224,
1419 |         17.3742,
1420 |         16.9336,
1421 |         16.503,
1422 |         16.0494,
1423 |         15.6292,
1424 |         15.2124,
1425 |         14.798,
1426 |         14.367,
1427 |         13.9728,
1428 |         13.5944,
1429 |         13.217,
1430 |         12.8438,
1431 |         12.3696,
1432 |         12.0956,
1433 |         11.7044,
1434 |         11.324,
1435 |         11.0668,
1436 |         10.6698,
1437 |         10.3644,
1438 |         10.049,
1439 |         9.6918,
1440 |         9.4146,
1441 |         9.082,
1442 |         8.687,
1443 |         8.5398,
1444 |         8.2462,
1445 |         7.857,
1446 |         7.6606,
1447 |         7.4168,
1448 |         7.1248,
1449 |         6.9222,
1450 |         6.6804,
1451 |         6.447,
1452 |         6.3454,
1453 |         5.9594,
1454 |         5.7636,
1455 |         5.5776,
1456 |         5.331,
1457 |         5.19,
1458 |         4.9676,
1459 |         4.7564,
1460 |         4.5314,
1461 |         4.4442,
1462 |         4.3708,
1463 |         3.9774,
1464 |         3.9624,
1465 |         3.8796,
1466 |         3.755,
1467 |         3.472,
1468 |         3.2076,
1469 |         3.1024,
1470 |         2.8908,
1471 |         2.7338,
1472 |         2.7728,
1473 |         2.629,
1474 |         2.413,
1475 |         2.3266,
1476 |         2.1524,
1477 |         2.2642,
1478 |         2.1806,
1479 |         2.0566,
1480 |         1.9192,
1481 |         1.7598,
1482 |         1.3516,
1483 |         1.5802,
1484 |         1.43859999999999,
1485 |         1.49160000000001,
1486 |         1.1524,
1487 |         1.1892,
1488 |         0.841399999999993,
1489 |         0.879800000000003,
1490 |         0.837599999999995,
1491 |         0.469800000000006,
1492 |         0.765600000000006,
1493 |         0.331000000000003,
1494 |         0.591399999999993,
1495 |         0.601200000000006,
1496 |         0.701599999999999,
1497 |         0.558199999999999,
1498 |         0.339399999999998,
1499 |         0.354399999999998,
1500 |         0.491200000000006,
1501 |         0.308000000000007,
1502 |         0.355199999999996,
1503 |         -0.0254000000000048,
1504 |         0.205200000000005,
1505 |         -0.272999999999996,
1506 |         0.132199999999997,
1507 |         0.394400000000005,
1508 |         -0.241200000000006,
1509 |         0.242000000000004,
1510 |         0.191400000000002,
1511 |         0.253799999999998,
1512 |         -0.122399999999999,
1513 |         -0.370800000000003,
1514 |         0.193200000000004,
1515 |         -0.0848000000000013,
1516 |         0.0867999999999967,
1517 |         -0.327200000000005,
1518 |         -0.285600000000002,
1519 |         0.311400000000006,
1520 |         -0.128399999999999,
1521 |         -0.754999999999995,
1522 |         -0.209199999999996,
1523 |         -0.293599999999998,
1524 |         -0.364000000000004,
1525 |         -0.253600000000006,
1526 |         -0.821200000000005,
1527 |         -0.253600000000006,
1528 |         -0.510400000000004,
1529 |         -0.383399999999995,
1530 |         -0.491799999999998,
1531 |         -0.220200000000006,
1532 |         -0.0972000000000008,
1533 |         -0.557400000000001,
1534 |         -0.114599999999996,
1535 |         -0.295000000000002,
1536 |         -0.534800000000004,
1537 |         0.346399999999988,
1538 |         -0.65379999999999,
1539 |         0.0398000000000138,
1540 |         0.0341999999999985,
1541 |         -0.995800000000003,
1542 |         -0.523400000000009,
1543 |         -0.489000000000004,
1544 |         -0.274799999999999,
1545 |         -0.574999999999989,
1546 |         -0.482799999999997,
1547 |         0.0571999999999946,
1548 |         -0.330600000000004,
1549 |         -0.628800000000012,
1550 |         -0.140199999999993,
1551 |         -0.540600000000012,
1552 |         -0.445999999999998,
1553 |         -0.599400000000003,
1554 |         -0.262599999999992,
1555 |         0.163399999999996,
1556 |         -0.100599999999986,
1557 |         -0.39500000000001,
1558 |         -1.06960000000001,
1559 |         -0.836399999999998,
1560 |         -0.753199999999993,
1561 |         -0.412399999999991,
1562 |         -0.790400000000005,
1563 |         -0.29679999999999,
1564 |         -0.28540000000001,
1565 |         -0.193000000000012,
1566 |         -0.0772000000000048,
1567 |         -0.962799999999987,
1568 |         -0.414800000000014,
1569 |     ],
1570 |     &[
1571 |         45.0,
1572 |         44.1902,
1573 |         43.271,
1574 |         42.8358,
1575 |         41.8142,
1576 |         41.2854,
1577 |         40.317,
1578 |         39.354,
1579 |         38.8924,
1580 |         37.9436,
1581 |         37.4596,
1582 |         36.5262,
1583 |         35.6248,
1584 |         35.1574,
1585 |         34.2822,
1586 |         33.837,
1587 |         32.9636,
1588 |         32.074,
1589 |         31.7042,
1590 |         30.7976,
1591 |         30.4772,
1592 |         29.6564,
1593 |         28.7942,
1594 |         28.5004,
1595 |         27.686,
1596 |         27.291,
1597 |         26.5672,
1598 |         25.8556,
1599 |         25.4982,
1600 |         24.8204,
1601 |         24.4252,
1602 |         23.7744,
1603 |         23.0786,
1604 |         22.8344,
1605 |         22.0294,
1606 |         21.8098,
1607 |         21.0794,
1608 |         20.5732,
1609 |         20.1878,
1610 |         19.5648,
1611 |         19.2902,
1612 |         18.6784,
1613 |         18.3352,
1614 |         17.8946,
1615 |         17.3712,
1616 |         17.0852,
1617 |         16.499,
1618 |         16.2686,
1619 |         15.6844,
1620 |         15.2234,
1621 |         14.9732,
1622 |         14.3356,
1623 |         14.2286,
1624 |         13.7262,
1625 |         13.3284,
1626 |         13.1048,
1627 |         12.5962,
1628 |         12.3562,
1629 |         12.1272,
1630 |         11.4184,
1631 |         11.4974,
1632 |         11.0822,
1633 |         10.856,
1634 |         10.48,
1635 |         10.2834,
1636 |         10.0208,
1637 |         9.637,
1638 |         9.51739999999999,
1639 |         9.05759999999999,
1640 |         8.74760000000001,
1641 |         8.42700000000001,
1642 |         8.1326,
1643 |         8.2372,
1644 |         8.2788,
1645 |         7.6776,
1646 |         7.79259999999999,
1647 |         7.1952,
1648 |         6.9564,
1649 |         6.6454,
1650 |         6.87,
1651 |         6.5428,
1652 |         6.19999999999999,
1653 |         6.02940000000001,
1654 |         5.62780000000001,
1655 |         5.6782,
1656 |         5.792,
1657 |         5.35159999999999,
1658 |         5.28319999999999,
1659 |         5.0394,
1660 |         5.07480000000001,
1661 |         4.49119999999999,
1662 |         4.84899999999999,
1663 |         4.696,
1664 |         4.54040000000001,
1665 |         4.07300000000001,
1666 |         4.37139999999999,
1667 |         3.7216,
1668 |         3.7328,
1669 |         3.42080000000001,
1670 |         3.41839999999999,
1671 |         3.94239999999999,
1672 |         3.27719999999999,
1673 |         3.411,
1674 |         3.13079999999999,
1675 |         2.76900000000001,
1676 |         2.92580000000001,
1677 |         2.68279999999999,
1678 |         2.75020000000001,
1679 |         2.70599999999999,
1680 |         2.3886,
1681 |         3.01859999999999,
1682 |         2.45179999999999,
1683 |         2.92699999999999,
1684 |         2.41720000000001,
1685 |         2.41139999999999,
1686 |         2.03299999999999,
1687 |         2.51240000000001,
1688 |         2.5564,
1689 |         2.60079999999999,
1690 |         2.41720000000001,
1691 |         1.80439999999999,
1692 |         1.99700000000001,
1693 |         2.45480000000001,
1694 |         1.8948,
1695 |         2.2346,
1696 |         2.30860000000001,
1697 |         2.15479999999999,
1698 |         1.88419999999999,
1699 |         1.6508,
1700 |         0.677199999999999,
1701 |         1.72540000000001,
1702 |         1.4752,
1703 |         1.72280000000001,
1704 |         1.66139999999999,
1705 |         1.16759999999999,
1706 |         1.79300000000001,
1707 |         1.00059999999999,
1708 |         0.905200000000008,
1709 |         0.659999999999997,
1710 |         1.55879999999999,
1711 |         1.1636,
1712 |         0.688199999999995,
1713 |         0.712600000000009,
1714 |         0.450199999999995,
1715 |         1.1978,
1716 |         0.975599999999986,
1717 |         0.165400000000005,
1718 |         1.727,
1719 |         1.19739999999999,
1720 |         -0.252600000000001,
1721 |         1.13460000000001,
1722 |         1.3048,
1723 |         1.19479999999999,
1724 |         0.313400000000001,
1725 |         0.878999999999991,
1726 |         1.12039999999999,
1727 |         0.853000000000009,
1728 |         1.67920000000001,
1729 |         0.856999999999999,
1730 |         0.448599999999999,
1731 |         1.2362,
1732 |         0.953399999999988,
1733 |         1.02859999999998,
1734 |         0.563199999999995,
1735 |         0.663000000000011,
1736 |         0.723000000000013,
1737 |         0.756599999999992,
1738 |         0.256599999999992,
1739 |         -0.837600000000009,
1740 |         0.620000000000005,
1741 |         0.821599999999989,
1742 |         0.216600000000028,
1743 |         0.205600000000004,
1744 |         0.220199999999977,
1745 |         0.372599999999977,
1746 |         0.334400000000016,
1747 |         0.928400000000011,
1748 |         0.972800000000007,
1749 |         0.192400000000021,
1750 |         0.487199999999973,
1751 |         -0.413000000000011,
1752 |         0.807000000000016,
1753 |         0.120600000000024,
1754 |         0.769000000000005,
1755 |         0.870799999999974,
1756 |         0.66500000000002,
1757 |         0.118200000000002,
1758 |         0.401200000000017,
1759 |         0.635199999999998,
1760 |         0.135400000000004,
1761 |         0.175599999999974,
1762 |         1.16059999999999,
1763 |         0.34620000000001,
1764 |         0.521400000000028,
1765 |         -0.586599999999976,
1766 |         -1.16480000000001,
1767 |         0.968399999999974,
1768 |         0.836999999999989,
1769 |         0.779600000000016,
1770 |         0.985799999999983,
1771 |     ],
1772 |     &[
1773 |         91.0,
1774 |         89.4934,
1775 |         87.9758,
1776 |         86.4574,
1777 |         84.9718,
1778 |         83.4954,
1779 |         81.5302,
1780 |         80.0756,
1781 |         78.6374,
1782 |         77.1782,
1783 |         75.7888,
1784 |         73.9522,
1785 |         72.592,
1786 |         71.2532,
1787 |         69.9086,
1788 |         68.5938,
1789 |         66.9474,
1790 |         65.6796,
1791 |         64.4394,
1792 |         63.2176,
1793 |         61.9768,
1794 |         60.4214,
1795 |         59.2528,
1796 |         58.0102,
1797 |         56.8658,
1798 |         55.7278,
1799 |         54.3044,
1800 |         53.1316,
1801 |         52.093,
1802 |         51.0032,
1803 |         49.9092,
1804 |         48.6306,
1805 |         47.5294,
1806 |         46.5756,
1807 |         45.6508,
1808 |         44.662,
1809 |         43.552,
1810 |         42.3724,
1811 |         41.617,
1812 |         40.5754,
1813 |         39.7872,
1814 |         38.8444,
1815 |         37.7988,
1816 |         36.8606,
1817 |         36.2118,
1818 |         35.3566,
1819 |         34.4476,
1820 |         33.5882,
1821 |         32.6816,
1822 |         32.0824,
1823 |         31.0258,
1824 |         30.6048,
1825 |         29.4436,
1826 |         28.7274,
1827 |         27.957,
1828 |         27.147,
1829 |         26.4364,
1830 |         25.7592,
1831 |         25.3386,
1832 |         24.781,
1833 |         23.8028,
1834 |         23.656,
1835 |         22.6544,
1836 |         21.996,
1837 |         21.4718,
1838 |         21.1544,
1839 |         20.6098,
1840 |         19.5956,
1841 |         19.0616,
1842 |         18.5758,
1843 |         18.4878,
1844 |         17.5244,
1845 |         17.2146,
1846 |         16.724,
1847 |         15.8722,
1848 |         15.5198,
1849 |         15.0414,
1850 |         14.941,
1851 |         14.9048,
1852 |         13.87,
1853 |         13.4304,
1854 |         13.028,
1855 |         12.4708,
1856 |         12.37,
1857 |         12.0624,
1858 |         11.4668,
1859 |         11.5532,
1860 |         11.4352,
1861 |         11.2564,
1862 |         10.2744,
1863 |         10.2118,
1864 |         9.74720000000002,
1865 |         10.1456,
1866 |         9.2928,
1867 |         8.75040000000001,
1868 |         8.55279999999999,
1869 |         8.97899999999998,
1870 |         8.21019999999999,
1871 |         8.18340000000001,
1872 |         7.3494,
1873 |         7.32499999999999,
1874 |         7.66140000000001,
1875 |         6.90300000000002,
1876 |         7.25439999999998,
1877 |         6.9042,
1878 |         7.21499999999997,
1879 |         6.28640000000001,
1880 |         6.08139999999997,
1881 |         6.6764,
1882 |         6.30099999999999,
1883 |         5.13900000000001,
1884 |         5.65800000000002,
1885 |         5.17320000000001,
1886 |         4.59019999999998,
1887 |         4.9538,
1888 |         5.08280000000002,
1889 |         4.92200000000003,
1890 |         4.99020000000002,
1891 |         4.7328,
1892 |         5.4538,
1893 |         4.11360000000002,
1894 |         4.22340000000003,
1895 |         4.08780000000002,
1896 |         3.70800000000003,
1897 |         4.15559999999999,
1898 |         4.18520000000001,
1899 |         3.63720000000001,
1900 |         3.68220000000002,
1901 |         3.77960000000002,
1902 |         3.6078,
1903 |         2.49160000000001,
1904 |         3.13099999999997,
1905 |         2.5376,
1906 |         3.19880000000001,
1907 |         3.21100000000001,
1908 |         2.4502,
1909 |         3.52820000000003,
1910 |         2.91199999999998,
1911 |         3.04480000000001,
1912 |         2.7432,
1913 |         2.85239999999999,
1914 |         2.79880000000003,
1915 |         2.78579999999999,
1916 |         1.88679999999999,
1917 |         2.98860000000002,
1918 |         2.50639999999999,
1919 |         1.91239999999999,
1920 |         2.66160000000002,
1921 |         2.46820000000002,
1922 |         1.58199999999999,
1923 |         1.30399999999997,
1924 |         2.27379999999999,
1925 |         2.68939999999998,
1926 |         1.32900000000001,
1927 |         3.10599999999999,
1928 |         1.69080000000002,
1929 |         2.13740000000001,
1930 |         2.53219999999999,
1931 |         1.88479999999998,
1932 |         1.33240000000001,
1933 |         1.45119999999997,
1934 |         1.17899999999997,
1935 |         2.44119999999998,
1936 |         1.60659999999996,
1937 |         2.16700000000003,
1938 |         0.77940000000001,
1939 |         2.37900000000002,
1940 |         2.06700000000001,
1941 |         1.46000000000004,
1942 |         2.91160000000002,
1943 |         1.69200000000001,
1944 |         0.954600000000028,
1945 |         2.49300000000005,
1946 |         2.2722,
1947 |         1.33500000000004,
1948 |         2.44899999999996,
1949 |         1.20140000000004,
1950 |         3.07380000000001,
1951 |         2.09739999999999,
1952 |         2.85640000000001,
1953 |         2.29960000000005,
1954 |         2.40899999999999,
1955 |         1.97040000000004,
1956 |         0.809799999999996,
1957 |         1.65279999999996,
1958 |         2.59979999999996,
1959 |         0.95799999999997,
1960 |         2.06799999999998,
1961 |         2.32780000000002,
1962 |         4.20159999999998,
1963 |         1.96320000000003,
1964 |         1.86400000000003,
1965 |         1.42999999999995,
1966 |         3.77940000000001,
1967 |         1.27200000000005,
1968 |         1.86440000000005,
1969 |         2.20600000000002,
1970 |         3.21900000000005,
1971 |         1.5154,
1972 |         2.61019999999996,
1973 |     ],
1974 |     &[
1975 |         183.2152,
1976 |         180.2454,
1977 |         177.2096,
1978 |         173.6652,
1979 |         170.6312,
1980 |         167.6822,
1981 |         164.249,
1982 |         161.3296,
1983 |         158.0038,
1984 |         155.2074,
1985 |         152.4612,
1986 |         149.27,
1987 |         146.5178,
1988 |         143.4412,
1989 |         140.8032,
1990 |         138.1634,
1991 |         135.1688,
1992 |         132.6074,
1993 |         129.6946,
1994 |         127.2664,
1995 |         124.8228,
1996 |         122.0432,
1997 |         119.6824,
1998 |         116.9464,
1999 |         114.6268,
2000 |         112.2626,
2001 |         109.8376,
2002 |         107.4034,
2003 |         104.8956,
2004 |         102.8522,
2005 |         100.7638,
2006 |         98.3552,
2007 |         96.3556,
2008 |         93.7526,
2009 |         91.9292,
2010 |         89.8954,
2011 |         87.8198,
2012 |         85.7668,
2013 |         83.298,
2014 |         81.6688,
2015 |         79.9466,
2016 |         77.9746,
2017 |         76.1672,
2018 |         74.3474,
2019 |         72.3028,
2020 |         70.8912,
2021 |         69.114,
2022 |         67.4646,
2023 |         65.9744,
2024 |         64.4092,
2025 |         62.6022,
2026 |         60.843,
2027 |         59.5684,
2028 |         58.1652,
2029 |         56.5426,
2030 |         55.4152,
2031 |         53.5388,
2032 |         52.3592,
2033 |         51.1366,
2034 |         49.486,
2035 |         48.3918,
2036 |         46.5076,
2037 |         45.509,
2038 |         44.3834,
2039 |         43.3498,
2040 |         42.0668,
2041 |         40.7346,
2042 |         40.1228,
2043 |         38.4528,
2044 |         37.7,
2045 |         36.644,
2046 |         36.0518,
2047 |         34.5774,
2048 |         33.9068,
2049 |         32.432,
2050 |         32.1666,
2051 |         30.434,
2052 |         29.6644,
2053 |         28.4894,
2054 |         27.6312,
2055 |         26.3804,
2056 |         26.292,
2057 |         25.5496000000001,
2058 |         25.0234,
2059 |         24.8206,
2060 |         22.6146,
2061 |         22.4188,
2062 |         22.117,
2063 |         20.6762,
2064 |         20.6576,
2065 |         19.7864,
2066 |         19.509,
2067 |         18.5334,
2068 |         17.9204,
2069 |         17.772,
2070 |         16.2924,
2071 |         16.8654,
2072 |         15.1836,
2073 |         15.745,
2074 |         15.1316,
2075 |         15.0386,
2076 |         14.0136,
2077 |         13.6342,
2078 |         12.6196,
2079 |         12.1866,
2080 |         12.4281999999999,
2081 |         11.3324,
2082 |         10.4794000000001,
2083 |         11.5038,
2084 |         10.129,
2085 |         9.52800000000002,
2086 |         10.3203999999999,
2087 |         9.46299999999997,
2088 |         9.79280000000006,
2089 |         9.12300000000005,
2090 |         8.74180000000001,
2091 |         9.2192,
2092 |         7.51020000000005,
2093 |         7.60659999999996,
2094 |         7.01840000000004,
2095 |         7.22239999999999,
2096 |         7.40139999999997,
2097 |         6.76179999999999,
2098 |         7.14359999999999,
2099 |         5.65060000000005,
2100 |         5.63779999999997,
2101 |         5.76599999999996,
2102 |         6.75139999999999,
2103 |         5.57759999999996,
2104 |         3.73220000000003,
2105 |         5.8048,
2106 |         5.63019999999995,
2107 |         4.93359999999996,
2108 |         3.47979999999995,
2109 |         4.33879999999999,
2110 |         3.98940000000005,
2111 |         3.81960000000004,
2112 |         3.31359999999995,
2113 |         3.23080000000004,
2114 |         3.4588,
2115 |         3.08159999999998,
2116 |         3.4076,
2117 |         3.00639999999999,
2118 |         2.38779999999997,
2119 |         2.61900000000003,
2120 |         1.99800000000005,
2121 |         3.34820000000002,
2122 |         2.95060000000001,
2123 |         0.990999999999985,
2124 |         2.11440000000005,
2125 |         2.20299999999997,
2126 |         2.82219999999995,
2127 |         2.73239999999998,
2128 |         2.7826,
2129 |         3.76660000000004,
2130 |         2.26480000000004,
2131 |         2.31280000000004,
2132 |         2.40819999999997,
2133 |         2.75360000000001,
2134 |         3.33759999999995,
2135 |         2.71559999999999,
2136 |         1.7478000000001,
2137 |         1.42920000000004,
2138 |         2.39300000000003,
2139 |         2.22779999999989,
2140 |         2.34339999999997,
2141 |         0.87259999999992,
2142 |         3.88400000000001,
2143 |         1.80600000000004,
2144 |         1.91759999999999,
2145 |         1.16779999999994,
2146 |         1.50320000000011,
2147 |         2.52500000000009,
2148 |         0.226400000000012,
2149 |         2.31500000000005,
2150 |         0.930000000000064,
2151 |         1.25199999999995,
2152 |         2.14959999999996,
2153 |         0.0407999999999902,
2154 |         2.5447999999999,
2155 |         1.32960000000003,
2156 |         0.197400000000016,
2157 |         2.52620000000002,
2158 |         3.33279999999991,
2159 |         -1.34300000000007,
2160 |         0.422199999999975,
2161 |         0.917200000000093,
2162 |         1.12920000000008,
2163 |         1.46060000000011,
2164 |         1.45779999999991,
2165 |         2.8728000000001,
2166 |         3.33359999999993,
2167 |         -1.34079999999994,
2168 |         1.57680000000005,
2169 |         0.363000000000056,
2170 |         1.40740000000005,
2171 |         0.656600000000026,
2172 |         0.801400000000058,
2173 |         -0.454600000000028,
2174 |         1.51919999999996,
2175 |     ],
2176 |     &[
2177 |         368.0,
2178 |         361.8294,
2179 |         355.2452,
2180 |         348.6698,
2181 |         342.1464,
2182 |         336.2024,
2183 |         329.8782,
2184 |         323.6598,
2185 |         317.462,
2186 |         311.2826,
2187 |         305.7102,
2188 |         299.7416,
2189 |         293.9366,
2190 |         288.1046,
2191 |         282.285,
2192 |         277.0668,
2193 |         271.306,
2194 |         265.8448,
2195 |         260.301,
2196 |         254.9886,
2197 |         250.2422,
2198 |         244.8138,
2199 |         239.7074,
2200 |         234.7428,
2201 |         229.8402,
2202 |         225.1664,
2203 |         220.3534,
2204 |         215.594,
2205 |         210.6886,
2206 |         205.7876,
2207 |         201.65,
2208 |         197.228,
2209 |         192.8036,
2210 |         188.1666,
2211 |         184.0818,
2212 |         180.0824,
2213 |         176.2574,
2214 |         172.302,
2215 |         168.1644,
2216 |         164.0056,
2217 |         160.3802,
2218 |         156.7192,
2219 |         152.5234,
2220 |         149.2084,
2221 |         145.831,
2222 |         142.485,
2223 |         139.1112,
2224 |         135.4764,
2225 |         131.76,
2226 |         129.3368,
2227 |         126.5538,
2228 |         122.5058,
2229 |         119.2646,
2230 |         116.5902,
2231 |         113.3818,
2232 |         110.8998,
2233 |         107.9532,
2234 |         105.2062,
2235 |         102.2798,
2236 |         99.4728,
2237 |         96.9582,
2238 |         94.3292,
2239 |         92.171,
2240 |         89.7809999999999,
2241 |         87.5716,
2242 |         84.7048,
2243 |         82.5322,
2244 |         79.875,
2245 |         78.3972,
2246 |         75.3464,
2247 |         73.7274,
2248 |         71.2834,
2249 |         70.1444,
2250 |         68.4263999999999,
2251 |         66.0166,
2252 |         64.018,
2253 |         62.0437999999999,
2254 |         60.3399999999999,
2255 |         58.6856,
2256 |         57.9836,
2257 |         55.0311999999999,
2258 |         54.6769999999999,
2259 |         52.3188,
2260 |         51.4846,
2261 |         49.4423999999999,
2262 |         47.739,
2263 |         46.1487999999999,
2264 |         44.9202,
2265 |         43.4059999999999,
2266 |         42.5342000000001,
2267 |         41.2834,
2268 |         38.8954000000001,
2269 |         38.3286000000001,
2270 |         36.2146,
2271 |         36.6684,
2272 |         35.9946,
2273 |         33.123,
2274 |         33.4338,
2275 |         31.7378000000001,
2276 |         29.076,
2277 |         28.9692,
2278 |         27.4964,
2279 |         27.0998,
2280 |         25.9864,
2281 |         26.7754,
2282 |         24.3208,
2283 |         23.4838,
2284 |         22.7388000000001,
2285 |         24.0758000000001,
2286 |         21.9097999999999,
2287 |         20.9728,
2288 |         19.9228000000001,
2289 |         19.9292,
2290 |         16.617,
2291 |         17.05,
2292 |         18.2996000000001,
2293 |         15.6128000000001,
2294 |         15.7392,
2295 |         14.5174,
2296 |         13.6322,
2297 |         12.2583999999999,
2298 |         13.3766000000001,
2299 |         11.423,
2300 |         13.1232,
2301 |         9.51639999999998,
2302 |         10.5938000000001,
2303 |         9.59719999999993,
2304 |         8.12220000000002,
2305 |         9.76739999999995,
2306 |         7.50440000000003,
2307 |         7.56999999999994,
2308 |         6.70440000000008,
2309 |         6.41419999999994,
2310 |         6.71019999999999,
2311 |         5.60940000000005,
2312 |         4.65219999999999,
2313 |         6.84099999999989,
2314 |         3.4072000000001,
2315 |         3.97859999999991,
2316 |         3.32760000000007,
2317 |         5.52160000000003,
2318 |         3.31860000000006,
2319 |         2.06940000000009,
2320 |         4.35400000000004,
2321 |         1.57500000000005,
2322 |         0.280799999999999,
2323 |         2.12879999999996,
2324 |         -0.214799999999968,
2325 |         -0.0378000000000611,
2326 |         -0.658200000000079,
2327 |         0.654800000000023,
2328 |         -0.0697999999999865,
2329 |         0.858400000000074,
2330 |         -2.52700000000004,
2331 |         -2.1751999999999,
2332 |         -3.35539999999992,
2333 |         -1.04019999999991,
2334 |         -0.651000000000067,
2335 |         -2.14439999999991,
2336 |         -1.96659999999997,
2337 |         -3.97939999999994,
2338 |         -0.604400000000169,
2339 |         -3.08260000000018,
2340 |         -3.39159999999993,
2341 |         -5.29640000000018,
2342 |         -5.38920000000007,
2343 |         -5.08759999999984,
2344 |         -4.69900000000007,
2345 |         -5.23720000000003,
2346 |         -3.15779999999995,
2347 |         -4.97879999999986,
2348 |         -4.89899999999989,
2349 |         -7.48880000000008,
2350 |         -5.94799999999987,
2351 |         -5.68060000000014,
2352 |         -6.67180000000008,
2353 |         -4.70499999999993,
2354 |         -7.27779999999984,
2355 |         -4.6579999999999,
2356 |         -4.4362000000001,
2357 |         -4.32139999999981,
2358 |         -5.18859999999995,
2359 |         -6.66879999999992,
2360 |         -6.48399999999992,
2361 |         -5.1260000000002,
2362 |         -4.4032000000002,
2363 |         -6.13500000000022,
2364 |         -5.80819999999994,
2365 |         -4.16719999999987,
2366 |         -4.15039999999999,
2367 |         -7.45600000000013,
2368 |         -7.24080000000004,
2369 |         -9.83179999999993,
2370 |         -5.80420000000004,
2371 |         -8.6561999999999,
2372 |         -6.99940000000015,
2373 |         -10.5473999999999,
2374 |         -7.34139999999979,
2375 |         -6.80999999999995,
2376 |         -6.29719999999998,
2377 |         -6.23199999999997,
2378 |     ],
2379 |     &[
2380 |         737.1256,
2381 |         724.4234,
2382 |         711.1064,
2383 |         698.4732,
2384 |         685.4636,
2385 |         673.0644,
2386 |         660.488,
2387 |         647.9654,
2388 |         636.0832,
2389 |         623.7864,
2390 |         612.1992,
2391 |         600.2176,
2392 |         588.5228,
2393 |         577.1716,
2394 |         565.7752,
2395 |         554.899,
2396 |         543.6126,
2397 |         532.6492,
2398 |         521.9474,
2399 |         511.5214,
2400 |         501.1064,
2401 |         490.6364,
2402 |         480.2468,
2403 |         470.4588,
2404 |         460.3832,
2405 |         451.0584,
2406 |         440.8606,
2407 |         431.3868,
2408 |         422.5062,
2409 |         413.1862,
2410 |         404.463,
2411 |         395.339,
2412 |         386.1936,
2413 |         378.1292,
2414 |         369.1854,
2415 |         361.2908,
2416 |         353.3324,
2417 |         344.8518,
2418 |         337.5204,
2419 |         329.4854,
2420 |         321.9318,
2421 |         314.552,
2422 |         306.4658,
2423 |         299.4256,
2424 |         292.849,
2425 |         286.152,
2426 |         278.8956,
2427 |         271.8792,
2428 |         265.118,
2429 |         258.62,
2430 |         252.5132,
2431 |         245.9322,
2432 |         239.7726,
2433 |         233.6086,
2434 |         227.5332,
2435 |         222.5918,
2436 |         216.4294,
2437 |         210.7662,
2438 |         205.4106,
2439 |         199.7338,
2440 |         194.9012,
2441 |         188.4486,
2442 |         183.1556,
2443 |         178.6338,
2444 |         173.7312,
2445 |         169.6264,
2446 |         163.9526,
2447 |         159.8742,
2448 |         155.8326,
2449 |         151.1966,
2450 |         147.5594,
2451 |         143.07,
2452 |         140.037,
2453 |         134.1804,
2454 |         131.071,
2455 |         127.4884,
2456 |         124.0848,
2457 |         120.2944,
2458 |         117.333,
2459 |         112.9626,
2460 |         110.2902,
2461 |         107.0814,
2462 |         103.0334,
2463 |         99.4832000000001,
2464 |         96.3899999999999,
2465 |         93.7202000000002,
2466 |         90.1714000000002,
2467 |         87.2357999999999,
2468 |         85.9346,
2469 |         82.8910000000001,
2470 |         80.0264000000002,
2471 |         78.3834000000002,
2472 |         75.1543999999999,
2473 |         73.8683999999998,
2474 |         70.9895999999999,
2475 |         69.4367999999999,
2476 |         64.8701999999998,
2477 |         65.0408000000002,
2478 |         61.6738,
2479 |         59.5207999999998,
2480 |         57.0158000000001,
2481 |         54.2302,
2482 |         53.0962,
2483 |         50.4985999999999,
2484 |         52.2588000000001,
2485 |         47.3914,
2486 |         45.6244000000002,
2487 |         42.8377999999998,
2488 |         43.0072,
2489 |         40.6516000000001,
2490 |         40.2453999999998,
2491 |         35.2136,
2492 |         36.4546,
2493 |         33.7849999999999,
2494 |         33.2294000000002,
2495 |         32.4679999999998,
2496 |         30.8670000000002,
2497 |         28.6507999999999,
2498 |         28.9099999999999,
2499 |         27.5983999999999,
2500 |         26.1619999999998,
2501 |         24.5563999999999,
2502 |         23.2328000000002,
2503 |         21.9484000000002,
2504 |         21.5902000000001,
2505 |         21.3346000000001,
2506 |         17.7031999999999,
2507 |         20.6111999999998,
2508 |         19.5545999999999,
2509 |         15.7375999999999,
2510 |         17.0720000000001,
2511 |         16.9517999999998,
2512 |         15.326,
2513 |         13.1817999999998,
2514 |         14.6925999999999,
2515 |         13.0859999999998,
2516 |         13.2754,
2517 |         10.8697999999999,
2518 |         11.248,
2519 |         7.3768,
2520 |         4.72339999999986,
2521 |         7.97899999999981,
2522 |         8.7503999999999,
2523 |         7.68119999999999,
2524 |         9.7199999999998,
2525 |         7.73919999999998,
2526 |         5.6224000000002,
2527 |         7.44560000000001,
2528 |         6.6601999999998,
2529 |         5.9058,
2530 |         4.00199999999995,
2531 |         4.51699999999983,
2532 |         4.68240000000014,
2533 |         3.86220000000003,
2534 |         5.13639999999987,
2535 |         5.98500000000013,
2536 |         2.47719999999981,
2537 |         2.61999999999989,
2538 |         1.62800000000016,
2539 |         4.65000000000009,
2540 |         0.225599999999758,
2541 |         0.831000000000131,
2542 |         -0.359400000000278,
2543 |         1.27599999999984,
2544 |         -2.92559999999958,
2545 |         -0.0303999999996449,
2546 |         2.37079999999969,
2547 |         -2.0033999999996,
2548 |         0.804600000000391,
2549 |         0.30199999999968,
2550 |         1.1247999999996,
2551 |         -2.6880000000001,
2552 |         0.0321999999996478,
2553 |         -1.18099999999959,
2554 |         -3.9402,
2555 |         -1.47940000000017,
2556 |         -0.188400000000001,
2557 |         -2.10720000000038,
2558 |         -2.04159999999956,
2559 |         -3.12880000000041,
2560 |         -4.16160000000036,
2561 |         -0.612799999999879,
2562 |         -3.48719999999958,
2563 |         -8.17900000000009,
2564 |         -5.37780000000021,
2565 |         -4.01379999999972,
2566 |         -5.58259999999973,
2567 |         -5.73719999999958,
2568 |         -7.66799999999967,
2569 |         -5.69520000000011,
2570 |         -1.1247999999996,
2571 |         -5.58520000000044,
2572 |         -8.04560000000038,
2573 |         -4.64840000000004,
2574 |         -11.6468000000004,
2575 |         -7.97519999999986,
2576 |         -5.78300000000036,
2577 |         -7.67420000000038,
2578 |         -10.6328000000003,
2579 |         -9.81720000000041,
2580 |     ],
2581 |     &[
2582 |         1476.0,
2583 |         1449.6014,
2584 |         1423.5802,
2585 |         1397.7942,
2586 |         1372.3042,
2587 |         1347.2062,
2588 |         1321.8402,
2589 |         1297.2292,
2590 |         1272.9462,
2591 |         1248.9926,
2592 |         1225.3026,
2593 |         1201.4252,
2594 |         1178.0578,
2595 |         1155.6092,
2596 |         1132.626,
2597 |         1110.5568,
2598 |         1088.527,
2599 |         1066.5154,
2600 |         1045.1874,
2601 |         1024.3878,
2602 |         1003.37,
2603 |         982.1972,
2604 |         962.5728,
2605 |         942.1012,
2606 |         922.9668,
2607 |         903.292,
2608 |         884.0772,
2609 |         864.8578,
2610 |         846.6562,
2611 |         828.041,
2612 |         809.714,
2613 |         792.3112,
2614 |         775.1806,
2615 |         757.9854,
2616 |         740.656,
2617 |         724.346,
2618 |         707.5154,
2619 |         691.8378,
2620 |         675.7448,
2621 |         659.6722,
2622 |         645.5722,
2623 |         630.1462,
2624 |         614.4124,
2625 |         600.8728,
2626 |         585.898,
2627 |         572.408,
2628 |         558.4926,
2629 |         544.4938,
2630 |         531.6776,
2631 |         517.282,
2632 |         505.7704,
2633 |         493.1012,
2634 |         480.7388,
2635 |         467.6876,
2636 |         456.1872,
2637 |         445.5048,
2638 |         433.0214,
2639 |         420.806,
2640 |         411.409,
2641 |         400.4144,
2642 |         389.4294,
2643 |         379.2286,
2644 |         369.651,
2645 |         360.6156,
2646 |         350.337,
2647 |         342.083,
2648 |         332.1538,
2649 |         322.5094,
2650 |         315.01,
2651 |         305.6686,
2652 |         298.1678,
2653 |         287.8116,
2654 |         280.9978,
2655 |         271.9204,
2656 |         265.3286,
2657 |         257.5706,
2658 |         249.6014,
2659 |         242.544,
2660 |         235.5976,
2661 |         229.583,
2662 |         220.9438,
2663 |         214.672,
2664 |         208.2786,
2665 |         201.8628,
2666 |         195.1834,
2667 |         191.505,
2668 |         186.1816,
2669 |         178.5188,
2670 |         172.2294,
2671 |         167.8908,
2672 |         161.0194,
2673 |         158.052,
2674 |         151.4588,
2675 |         148.1596,
2676 |         143.4344,
2677 |         138.5238,
2678 |         133.13,
2679 |         127.6374,
2680 |         124.8162,
2681 |         118.7894,
2682 |         117.3984,
2683 |         114.6078,
2684 |         109.0858,
2685 |         105.1036,
2686 |         103.6258,
2687 |         98.6018000000004,
2688 |         95.7618000000002,
2689 |         93.5821999999998,
2690 |         88.5900000000001,
2691 |         86.9992000000002,
2692 |         82.8800000000001,
2693 |         80.4539999999997,
2694 |         74.6981999999998,
2695 |         74.3644000000004,
2696 |         73.2914000000001,
2697 |         65.5709999999999,
2698 |         66.9232000000002,
2699 |         65.1913999999997,
2700 |         62.5882000000001,
2701 |         61.5702000000001,
2702 |         55.7035999999998,
2703 |         56.1764000000003,
2704 |         52.7596000000003,
2705 |         53.0302000000001,
2706 |         49.0609999999997,
2707 |         48.4694,
2708 |         44.933,
2709 |         46.0474000000004,
2710 |         44.7165999999997,
2711 |         41.9416000000001,
2712 |         39.9207999999999,
2713 |         35.6328000000003,
2714 |         35.5276000000003,
2715 |         33.1934000000001,
2716 |         33.2371999999996,
2717 |         33.3864000000003,
2718 |         33.9228000000003,
2719 |         30.2371999999996,
2720 |         29.1373999999996,
2721 |         25.2272000000003,
2722 |         24.2942000000003,
2723 |         19.8338000000003,
2724 |         18.9005999999999,
2725 |         23.0907999999999,
2726 |         21.8544000000002,
2727 |         19.5176000000001,
2728 |         15.4147999999996,
2729 |         16.9314000000004,
2730 |         18.6737999999996,
2731 |         12.9877999999999,
2732 |         14.3688000000002,
2733 |         12.0447999999997,
2734 |         15.5219999999999,
2735 |         12.5299999999997,
2736 |         14.5940000000001,
2737 |         14.3131999999996,
2738 |         9.45499999999993,
2739 |         12.9441999999999,
2740 |         3.91139999999996,
2741 |         13.1373999999996,
2742 |         5.44720000000052,
2743 |         9.82779999999912,
2744 |         7.87279999999919,
2745 |         3.67760000000089,
2746 |         5.46980000000076,
2747 |         5.55099999999948,
2748 |         5.65979999999945,
2749 |         3.89439999999922,
2750 |         3.1275999999998,
2751 |         5.65140000000065,
2752 |         6.3062000000009,
2753 |         3.90799999999945,
2754 |         1.87060000000019,
2755 |         5.17020000000048,
2756 |         2.46680000000015,
2757 |         0.770000000000437,
2758 |         -3.72340000000077,
2759 |         1.16400000000067,
2760 |         8.05340000000069,
2761 |         0.135399999999208,
2762 |         2.15940000000046,
2763 |         0.766999999999825,
2764 |         1.0594000000001,
2765 |         3.15500000000065,
2766 |         -0.287399999999252,
2767 |         2.37219999999979,
2768 |         -2.86620000000039,
2769 |         -1.63199999999961,
2770 |         -2.22979999999916,
2771 |         -0.15519999999924,
2772 |         -1.46039999999994,
2773 |         -0.262199999999211,
2774 |         -2.34460000000036,
2775 |         -2.8078000000005,
2776 |         -3.22179999999935,
2777 |         -5.60159999999996,
2778 |         -8.42200000000048,
2779 |         -9.43740000000071,
2780 |         0.161799999999857,
2781 |         -10.4755999999998,
2782 |         -10.0823999999993,
2783 |     ],
2784 |     &[
2785 |         2953.0,
2786 |         2900.4782,
2787 |         2848.3568,
2788 |         2796.3666,
2789 |         2745.324,
2790 |         2694.9598,
2791 |         2644.648,
2792 |         2595.539,
2793 |         2546.1474,
2794 |         2498.2576,
2795 |         2450.8376,
2796 |         2403.6076,
2797 |         2357.451,
2798 |         2311.38,
2799 |         2266.4104,
2800 |         2221.5638,
2801 |         2176.9676,
2802 |         2134.193,
2803 |         2090.838,
2804 |         2048.8548,
2805 |         2007.018,
2806 |         1966.1742,
2807 |         1925.4482,
2808 |         1885.1294,
2809 |         1846.4776,
2810 |         1807.4044,
2811 |         1768.8724,
2812 |         1731.3732,
2813 |         1693.4304,
2814 |         1657.5326,
2815 |         1621.949,
2816 |         1586.5532,
2817 |         1551.7256,
2818 |         1517.6182,
2819 |         1483.5186,
2820 |         1450.4528,
2821 |         1417.865,
2822 |         1385.7164,
2823 |         1352.6828,
2824 |         1322.6708,
2825 |         1291.8312,
2826 |         1260.9036,
2827 |         1231.476,
2828 |         1201.8652,
2829 |         1173.6718,
2830 |         1145.757,
2831 |         1119.2072,
2832 |         1092.2828,
2833 |         1065.0434,
2834 |         1038.6264,
2835 |         1014.3192,
2836 |         988.5746,
2837 |         965.0816,
2838 |         940.1176,
2839 |         917.9796,
2840 |         894.5576,
2841 |         871.1858,
2842 |         849.9144,
2843 |         827.1142,
2844 |         805.0818,
2845 |         783.9664,
2846 |         763.9096,
2847 |         742.0816,
2848 |         724.3962,
2849 |         706.3454,
2850 |         688.018,
2851 |         667.4214,
2852 |         650.3106,
2853 |         633.0686,
2854 |         613.8094,
2855 |         597.818,
2856 |         581.4248,
2857 |         563.834,
2858 |         547.363,
2859 |         531.5066,
2860 |         520.455400000001,
2861 |         505.583199999999,
2862 |         488.366,
2863 |         476.480799999999,
2864 |         459.7682,
2865 |         450.0522,
2866 |         434.328799999999,
2867 |         423.952799999999,
2868 |         408.727000000001,
2869 |         399.079400000001,
2870 |         387.252200000001,
2871 |         373.987999999999,
2872 |         360.852000000001,
2873 |         351.6394,
2874 |         339.642,
2875 |         330.902400000001,
2876 |         322.661599999999,
2877 |         311.662200000001,
2878 |         301.3254,
2879 |         291.7484,
2880 |         279.939200000001,
2881 |         276.7508,
2882 |         263.215200000001,
2883 |         254.811400000001,
2884 |         245.5494,
2885 |         242.306399999999,
2886 |         234.8734,
2887 |         223.787200000001,
2888 |         217.7156,
2889 |         212.0196,
2890 |         200.793,
2891 |         195.9748,
2892 |         189.0702,
2893 |         182.449199999999,
2894 |         177.2772,
2895 |         170.2336,
2896 |         164.741,
2897 |         158.613600000001,
2898 |         155.311,
2899 |         147.5964,
2900 |         142.837,
2901 |         137.3724,
2902 |         132.0162,
2903 |         130.0424,
2904 |         121.9804,
2905 |         120.451800000001,
2906 |         114.8968,
2907 |         111.585999999999,
2908 |         105.933199999999,
2909 |         101.705,
2910 |         98.5141999999996,
2911 |         95.0488000000005,
2912 |         89.7880000000005,
2913 |         91.4750000000004,
2914 |         83.7764000000006,
2915 |         80.9698000000008,
2916 |         72.8574000000008,
2917 |         73.1615999999995,
2918 |         67.5838000000003,
2919 |         62.6263999999992,
2920 |         63.2638000000006,
2921 |         66.0977999999996,
2922 |         52.0843999999997,
2923 |         58.9956000000002,
2924 |         47.0912000000008,
2925 |         46.4956000000002,
2926 |         48.4383999999991,
2927 |         47.1082000000006,
2928 |         43.2392,
2929 |         37.2759999999998,
2930 |         40.0283999999992,
2931 |         35.1864000000005,
2932 |         35.8595999999998,
2933 |         32.0998,
2934 |         28.027,
2935 |         23.6694000000007,
2936 |         33.8266000000003,
2937 |         26.3736000000008,
2938 |         27.2008000000005,
2939 |         21.3245999999999,
2940 |         26.4115999999995,
2941 |         23.4521999999997,
2942 |         19.5013999999992,
2943 |         19.8513999999996,
2944 |         10.7492000000002,
2945 |         18.6424000000006,
2946 |         13.1265999999996,
2947 |         18.2436000000016,
2948 |         6.71860000000015,
2949 |         3.39459999999963,
2950 |         6.33759999999893,
2951 |         7.76719999999841,
2952 |         0.813999999998487,
2953 |         3.82819999999992,
2954 |         0.826199999999517,
2955 |         8.07440000000133,
2956 |         -1.59080000000176,
2957 |         5.01780000000144,
2958 |         0.455399999998917,
2959 |         -0.24199999999837,
2960 |         0.174800000000687,
2961 |         -9.07640000000174,
2962 |         -4.20160000000033,
2963 |         -3.77520000000004,
2964 |         -4.75179999999818,
2965 |         -5.3724000000002,
2966 |         -8.90680000000066,
2967 |         -6.10239999999976,
2968 |         -5.74120000000039,
2969 |         -9.95339999999851,
2970 |         -3.86339999999836,
2971 |         -13.7304000000004,
2972 |         -16.2710000000006,
2973 |         -7.51359999999841,
2974 |         -3.30679999999847,
2975 |         -13.1339999999982,
2976 |         -10.0551999999989,
2977 |         -6.72019999999975,
2978 |         -8.59660000000076,
2979 |         -10.9307999999983,
2980 |         -1.8775999999998,
2981 |         -4.82259999999951,
2982 |         -13.7788,
2983 |         -21.6470000000008,
2984 |         -10.6735999999983,
2985 |         -15.7799999999988,
2986 |     ],
2987 |     &[
2988 |         5907.5052,
2989 |         5802.2672,
2990 |         5697.347,
2991 |         5593.5794,
2992 |         5491.2622,
2993 |         5390.5514,
2994 |         5290.3376,
2995 |         5191.6952,
2996 |         5093.5988,
2997 |         4997.3552,
2998 |         4902.5972,
2999 |         4808.3082,
3000 |         4715.5646,
3001 |         4624.109,
3002 |         4533.8216,
3003 |         4444.4344,
3004 |         4356.3802,
3005 |         4269.2962,
3006 |         4183.3784,
3007 |         4098.292,
3008 |         4014.79,
3009 |         3932.4574,
3010 |         3850.6036,
3011 |         3771.2712,
3012 |         3691.7708,
3013 |         3615.099,
3014 |         3538.1858,
3015 |         3463.4746,
3016 |         3388.8496,
3017 |         3315.6794,
3018 |         3244.5448,
3019 |         3173.7516,
3020 |         3103.3106,
3021 |         3033.6094,
3022 |         2966.5642,
3023 |         2900.794,
3024 |         2833.7256,
3025 |         2769.81,
3026 |         2707.3196,
3027 |         2644.0778,
3028 |         2583.9916,
3029 |         2523.4662,
3030 |         2464.124,
3031 |         2406.073,
3032 |         2347.0362,
3033 |         2292.1006,
3034 |         2238.1716,
3035 |         2182.7514,
3036 |         2128.4884,
3037 |         2077.1314,
3038 |         2025.037,
3039 |         1975.3756,
3040 |         1928.933,
3041 |         1879.311,
3042 |         1831.0006,
3043 |         1783.2144,
3044 |         1738.3096,
3045 |         1694.5144,
3046 |         1649.024,
3047 |         1606.847,
3048 |         1564.7528,
3049 |         1525.3168,
3050 |         1482.5372,
3051 |         1443.9668,
3052 |         1406.5074,
3053 |         1365.867,
3054 |         1329.2186,
3055 |         1295.4186,
3056 |         1257.9716,
3057 |         1225.339,
3058 |         1193.2972,
3059 |         1156.3578,
3060 |         1125.8686,
3061 |         1091.187,
3062 |         1061.4094,
3063 |         1029.4188,
3064 |         1000.9126,
3065 |         972.3272,
3066 |         944.004199999999,
3067 |         915.7592,
3068 |         889.965,
3069 |         862.834200000001,
3070 |         840.4254,
3071 |         812.598399999999,
3072 |         785.924200000001,
3073 |         763.050999999999,
3074 |         741.793799999999,
3075 |         721.466,
3076 |         699.040799999999,
3077 |         677.997200000002,
3078 |         649.866999999998,
3079 |         634.911800000002,
3080 |         609.8694,
3081 |         591.981599999999,
3082 |         570.2922,
3083 |         557.129199999999,
3084 |         538.3858,
3085 |         521.872599999999,
3086 |         502.951400000002,
3087 |         495.776399999999,
3088 |         475.171399999999,
3089 |         459.751,
3090 |         439.995200000001,
3091 |         426.708999999999,
3092 |         413.7016,
3093 |         402.3868,
3094 |         387.262599999998,
3095 |         372.0524,
3096 |         357.050999999999,
3097 |         342.5098,
3098 |         334.849200000001,
3099 |         322.529399999999,
3100 |         311.613799999999,
3101 |         295.848000000002,
3102 |         289.273000000001,
3103 |         274.093000000001,
3104 |         263.329600000001,
3105 |         251.389599999999,
3106 |         245.7392,
3107 |         231.9614,
3108 |         229.7952,
3109 |         217.155200000001,
3110 |         208.9588,
3111 |         199.016599999999,
3112 |         190.839199999999,
3113 |         180.6976,
3114 |         176.272799999999,
3115 |         166.976999999999,
3116 |         162.5252,
3117 |         151.196400000001,
3118 |         149.386999999999,
3119 |         133.981199999998,
3120 |         130.0586,
3121 |         130.164000000001,
3122 |         122.053400000001,
3123 |         110.7428,
3124 |         108.1276,
3125 |         106.232400000001,
3126 |         100.381600000001,
3127 |         98.7668000000012,
3128 |         86.6440000000002,
3129 |         79.9768000000004,
3130 |         82.4722000000002,
3131 |         68.7026000000005,
3132 |         70.1186000000016,
3133 |         71.9948000000004,
3134 |         58.998599999999,
3135 |         59.0492000000013,
3136 |         56.9818000000014,
3137 |         47.5338000000011,
3138 |         42.9928,
3139 |         51.1591999999982,
3140 |         37.2740000000013,
3141 |         42.7220000000016,
3142 |         31.3734000000004,
3143 |         26.8090000000011,
3144 |         25.8934000000008,
3145 |         26.5286000000015,
3146 |         29.5442000000003,
3147 |         19.3503999999994,
3148 |         26.0760000000009,
3149 |         17.9527999999991,
3150 |         14.8419999999969,
3151 |         10.4683999999979,
3152 |         8.65899999999965,
3153 |         9.86720000000059,
3154 |         4.34139999999752,
3155 |         -0.907800000000861,
3156 |         -3.32080000000133,
3157 |         -0.936199999996461,
3158 |         -11.9916000000012,
3159 |         -8.87000000000262,
3160 |         -6.33099999999831,
3161 |         -11.3366000000024,
3162 |         -15.9207999999999,
3163 |         -9.34659999999712,
3164 |         -15.5034000000014,
3165 |         -19.2097999999969,
3166 |         -15.357799999998,
3167 |         -28.2235999999975,
3168 |         -30.6898000000001,
3169 |         -19.3271999999997,
3170 |         -25.6083999999973,
3171 |         -24.409599999999,
3172 |         -13.6385999999984,
3173 |         -33.4473999999973,
3174 |         -32.6949999999997,
3175 |         -28.9063999999998,
3176 |         -31.7483999999968,
3177 |         -32.2935999999972,
3178 |         -35.8329999999987,
3179 |         -47.620600000002,
3180 |         -39.0855999999985,
3181 |         -33.1434000000008,
3182 |         -46.1371999999974,
3183 |         -37.5892000000022,
3184 |         -46.8164000000033,
3185 |         -47.3142000000007,
3186 |         -60.2914000000019,
3187 |         -37.7575999999972,
3188 |     ],
3189 |     &[
3190 |         11816.475,
3191 |         11605.0046,
3192 |         11395.3792,
3193 |         11188.7504,
3194 |         10984.1814,
3195 |         10782.0086,
3196 |         10582.0072,
3197 |         10384.503,
3198 |         10189.178,
3199 |         9996.2738,
3200 |         9806.0344,
3201 |         9617.9798,
3202 |         9431.394,
3203 |         9248.7784,
3204 |         9067.6894,
3205 |         8889.6824,
3206 |         8712.9134,
3207 |         8538.8624,
3208 |         8368.4944,
3209 |         8197.7956,
3210 |         8031.8916,
3211 |         7866.6316,
3212 |         7703.733,
3213 |         7544.5726,
3214 |         7386.204,
3215 |         7230.666,
3216 |         7077.8516,
3217 |         6926.7886,
3218 |         6778.6902,
3219 |         6631.9632,
3220 |         6487.304,
3221 |         6346.7486,
3222 |         6206.4408,
3223 |         6070.202,
3224 |         5935.2576,
3225 |         5799.924,
3226 |         5671.0324,
3227 |         5541.9788,
3228 |         5414.6112,
3229 |         5290.0274,
3230 |         5166.723,
3231 |         5047.6906,
3232 |         4929.162,
3233 |         4815.1406,
3234 |         4699.127,
3235 |         4588.5606,
3236 |         4477.7394,
3237 |         4369.4014,
3238 |         4264.2728,
3239 |         4155.9224,
3240 |         4055.581,
3241 |         3955.505,
3242 |         3856.9618,
3243 |         3761.3828,
3244 |         3666.9702,
3245 |         3575.7764,
3246 |         3482.4132,
3247 |         3395.0186,
3248 |         3305.8852,
3249 |         3221.415,
3250 |         3138.6024,
3251 |         3056.296,
3252 |         2970.4494,
3253 |         2896.1526,
3254 |         2816.8008,
3255 |         2740.2156,
3256 |         2670.497,
3257 |         2594.1458,
3258 |         2527.111,
3259 |         2460.8168,
3260 |         2387.5114,
3261 |         2322.9498,
3262 |         2260.6752,
3263 |         2194.2686,
3264 |         2133.7792,
3265 |         2074.767,
3266 |         2015.204,
3267 |         1959.4226,
3268 |         1898.6502,
3269 |         1850.006,
3270 |         1792.849,
3271 |         1741.4838,
3272 |         1687.9778,
3273 |         1638.1322,
3274 |         1589.3266,
3275 |         1543.1394,
3276 |         1496.8266,
3277 |         1447.8516,
3278 |         1402.7354,
3279 |         1361.9606,
3280 |         1327.0692,
3281 |         1285.4106,
3282 |         1241.8112,
3283 |         1201.6726,
3284 |         1161.973,
3285 |         1130.261,
3286 |         1094.2036,
3287 |         1048.2036,
3288 |         1020.6436,
3289 |         990.901400000002,
3290 |         961.199800000002,
3291 |         924.769800000002,
3292 |         899.526400000002,
3293 |         872.346400000002,
3294 |         834.375,
3295 |         810.432000000001,
3296 |         780.659800000001,
3297 |         756.013800000001,
3298 |         733.479399999997,
3299 |         707.923999999999,
3300 |         673.858,
3301 |         652.222399999999,
3302 |         636.572399999997,
3303 |         615.738599999997,
3304 |         586.696400000001,
3305 |         564.147199999999,
3306 |         541.679600000003,
3307 |         523.943599999999,
3308 |         505.714599999999,
3309 |         475.729599999999,
3310 |         461.779600000002,
3311 |         449.750800000002,
3312 |         439.020799999998,
3313 |         412.7886,
3314 |         400.245600000002,
3315 |         383.188199999997,
3316 |         362.079599999997,
3317 |         357.533799999997,
3318 |         334.319000000003,
3319 |         327.553399999997,
3320 |         308.559399999998,
3321 |         291.270199999999,
3322 |         279.351999999999,
3323 |         271.791400000002,
3324 |         252.576999999997,
3325 |         247.482400000001,
3326 |         236.174800000001,
3327 |         218.774599999997,
3328 |         220.155200000001,
3329 |         208.794399999999,
3330 |         201.223599999998,
3331 |         182.995600000002,
3332 |         185.5268,
3333 |         164.547400000003,
3334 |         176.5962,
3335 |         150.689599999998,
3336 |         157.8004,
3337 |         138.378799999999,
3338 |         134.021200000003,
3339 |         117.614399999999,
3340 |         108.194000000003,
3341 |         97.0696000000025,
3342 |         89.6042000000016,
3343 |         95.6030000000028,
3344 |         84.7810000000027,
3345 |         72.635000000002,
3346 |         77.3482000000004,
3347 |         59.4907999999996,
3348 |         55.5875999999989,
3349 |         50.7346000000034,
3350 |         61.3916000000027,
3351 |         50.9149999999936,
3352 |         39.0384000000049,
3353 |         58.9395999999979,
3354 |         29.633600000001,
3355 |         28.2032000000036,
3356 |         26.0078000000067,
3357 |         17.0387999999948,
3358 |         9.22000000000116,
3359 |         13.8387999999977,
3360 |         8.07240000000456,
3361 |         14.1549999999988,
3362 |         15.3570000000036,
3363 |         3.42660000000615,
3364 |         6.24820000000182,
3365 |         -2.96940000000177,
3366 |         -8.79940000000352,
3367 |         -5.97860000000219,
3368 |         -14.4048000000039,
3369 |         -3.4143999999942,
3370 |         -13.0148000000045,
3371 |         -11.6977999999945,
3372 |         -25.7878000000055,
3373 |         -22.3185999999987,
3374 |         -24.409599999999,
3375 |         -31.9756000000052,
3376 |         -18.9722000000038,
3377 |         -22.8678000000073,
3378 |         -30.8972000000067,
3379 |         -32.3715999999986,
3380 |         -22.3907999999938,
3381 |         -43.6720000000059,
3382 |         -35.9038,
3383 |         -39.7492000000057,
3384 |         -54.1641999999993,
3385 |         -45.2749999999942,
3386 |         -42.2989999999991,
3387 |         -44.1089999999967,
3388 |         -64.3564000000042,
3389 |         -49.9551999999967,
3390 |         -42.6116000000038,
3391 |     ],
3392 |     &[
3393 |         23634.0036,
3394 |         23210.8034,
3395 |         22792.4744,
3396 |         22379.1524,
3397 |         21969.7928,
3398 |         21565.326,
3399 |         21165.3532,
3400 |         20770.2806,
3401 |         20379.9892,
3402 |         19994.7098,
3403 |         19613.318,
3404 |         19236.799,
3405 |         18865.4382,
3406 |         18498.8244,
3407 |         18136.5138,
3408 |         17778.8668,
3409 |         17426.2344,
3410 |         17079.32,
3411 |         16734.778,
3412 |         16397.2418,
3413 |         16063.3324,
3414 |         15734.0232,
3415 |         15409.731,
3416 |         15088.728,
3417 |         14772.9896,
3418 |         14464.1402,
3419 |         14157.5588,
3420 |         13855.5958,
3421 |         13559.3296,
3422 |         13264.9096,
3423 |         12978.326,
3424 |         12692.0826,
3425 |         12413.8816,
3426 |         12137.3192,
3427 |         11870.2326,
3428 |         11602.5554,
3429 |         11340.3142,
3430 |         11079.613,
3431 |         10829.5908,
3432 |         10583.5466,
3433 |         10334.0344,
3434 |         10095.5072,
3435 |         9859.694,
3436 |         9625.2822,
3437 |         9395.7862,
3438 |         9174.0586,
3439 |         8957.3164,
3440 |         8738.064,
3441 |         8524.155,
3442 |         8313.7396,
3443 |         8116.9168,
3444 |         7913.542,
3445 |         7718.4778,
3446 |         7521.65,
3447 |         7335.5596,
3448 |         7154.2906,
3449 |         6968.7396,
3450 |         6786.3996,
3451 |         6613.236,
3452 |         6437.406,
3453 |         6270.6598,
3454 |         6107.7958,
3455 |         5945.7174,
3456 |         5787.6784,
3457 |         5635.5784,
3458 |         5482.308,
3459 |         5337.9784,
3460 |         5190.0864,
3461 |         5045.9158,
3462 |         4919.1386,
3463 |         4771.817,
3464 |         4645.7742,
3465 |         4518.4774,
3466 |         4385.5454,
3467 |         4262.6622,
3468 |         4142.74679999999,
3469 |         4015.5318,
3470 |         3897.9276,
3471 |         3790.7764,
3472 |         3685.13800000001,
3473 |         3573.6274,
3474 |         3467.9706,
3475 |         3368.61079999999,
3476 |         3271.5202,
3477 |         3170.3848,
3478 |         3076.4656,
3479 |         2982.38400000001,
3480 |         2888.4664,
3481 |         2806.4868,
3482 |         2711.9564,
3483 |         2634.1434,
3484 |         2551.3204,
3485 |         2469.7662,
3486 |         2396.61139999999,
3487 |         2318.9902,
3488 |         2243.8658,
3489 |         2171.9246,
3490 |         2105.01360000001,
3491 |         2028.8536,
3492 |         1960.9952,
3493 |         1901.4096,
3494 |         1841.86079999999,
3495 |         1777.54700000001,
3496 |         1714.5802,
3497 |         1654.65059999999,
3498 |         1596.311,
3499 |         1546.2016,
3500 |         1492.3296,
3501 |         1433.8974,
3502 |         1383.84600000001,
3503 |         1339.4152,
3504 |         1293.5518,
3505 |         1245.8686,
3506 |         1193.50659999999,
3507 |         1162.27959999999,
3508 |         1107.19439999999,
3509 |         1069.18060000001,
3510 |         1035.09179999999,
3511 |         999.679000000004,
3512 |         957.679999999993,
3513 |         925.300199999998,
3514 |         888.099400000006,
3515 |         848.638600000006,
3516 |         818.156400000007,
3517 |         796.748399999997,
3518 |         752.139200000005,
3519 |         725.271200000003,
3520 |         692.216,
3521 |         671.633600000001,
3522 |         647.939799999993,
3523 |         621.670599999998,
3524 |         575.398799999995,
3525 |         561.226599999995,
3526 |         532.237999999998,
3527 |         521.787599999996,
3528 |         483.095799999996,
3529 |         467.049599999998,
3530 |         465.286399999997,
3531 |         415.548599999995,
3532 |         401.047399999996,
3533 |         380.607999999993,
3534 |         377.362599999993,
3535 |         347.258799999996,
3536 |         338.371599999999,
3537 |         310.096999999994,
3538 |         301.409199999995,
3539 |         276.280799999993,
3540 |         265.586800000005,
3541 |         258.994399999996,
3542 |         223.915999999997,
3543 |         215.925399999993,
3544 |         213.503800000006,
3545 |         191.045400000003,
3546 |         166.718200000003,
3547 |         166.259000000005,
3548 |         162.941200000001,
3549 |         148.829400000002,
3550 |         141.645999999993,
3551 |         123.535399999993,
3552 |         122.329800000007,
3553 |         89.473399999988,
3554 |         80.1962000000058,
3555 |         77.5457999999926,
3556 |         59.1056000000099,
3557 |         83.3509999999951,
3558 |         52.2906000000075,
3559 |         36.3979999999865,
3560 |         40.6558000000077,
3561 |         42.0003999999899,
3562 |         19.6630000000005,
3563 |         19.7153999999864,
3564 |         -8.38539999999921,
3565 |         -0.692799999989802,
3566 |         0.854800000000978,
3567 |         3.23219999999856,
3568 |         -3.89040000000386,
3569 |         -5.25880000001052,
3570 |         -24.9052000000083,
3571 |         -22.6837999999989,
3572 |         -26.4286000000138,
3573 |         -34.997000000003,
3574 |         -37.0216000000073,
3575 |         -43.430400000012,
3576 |         -58.2390000000014,
3577 |         -68.8034000000043,
3578 |         -56.9245999999985,
3579 |         -57.8583999999973,
3580 |         -77.3097999999882,
3581 |         -73.2793999999994,
3582 |         -81.0738000000129,
3583 |         -87.4530000000086,
3584 |         -65.0254000000132,
3585 |         -57.296399999992,
3586 |         -96.2746000000043,
3587 |         -103.25,
3588 |         -96.081600000005,
3589 |         -91.5542000000132,
3590 |         -102.465200000006,
3591 |         -107.688599999994,
3592 |         -101.458000000013,
3593 |         -109.715800000005,
3594 |     ],
3595 |     &[
3596 |         47270.0,
3597 |         46423.3584,
3598 |         45585.7074,
3599 |         44757.152,
3600 |         43938.8416,
3601 |         43130.9514,
3602 |         42330.03,
3603 |         41540.407,
3604 |         40759.6348,
3605 |         39988.206,
3606 |         39226.5144,
3607 |         38473.2096,
3608 |         37729.795,
3609 |         36997.268,
3610 |         36272.6448,
3611 |         35558.665,
3612 |         34853.0248,
3613 |         34157.4472,
3614 |         33470.5204,
3615 |         32793.5742,
3616 |         32127.0194,
3617 |         31469.4182,
3618 |         30817.6136,
3619 |         30178.6968,
3620 |         29546.8908,
3621 |         28922.8544,
3622 |         28312.271,
3623 |         27707.0924,
3624 |         27114.0326,
3625 |         26526.692,
3626 |         25948.6336,
3627 |         25383.7826,
3628 |         24823.5998,
3629 |         24272.2974,
3630 |         23732.2572,
3631 |         23201.4976,
3632 |         22674.2796,
3633 |         22163.6336,
3634 |         21656.515,
3635 |         21161.7362,
3636 |         20669.9368,
3637 |         20189.4424,
3638 |         19717.3358,
3639 |         19256.3744,
3640 |         18795.9638,
3641 |         18352.197,
3642 |         17908.5738,
3643 |         17474.391,
3644 |         17052.918,
3645 |         16637.2236,
3646 |         16228.4602,
3647 |         15823.3474,
3648 |         15428.6974,
3649 |         15043.0284,
3650 |         14667.6278,
3651 |         14297.4588,
3652 |         13935.2882,
3653 |         13578.5402,
3654 |         13234.6032,
3655 |         12882.1578,
3656 |         12548.0728,
3657 |         12219.231,
3658 |         11898.0072,
3659 |         11587.2626,
3660 |         11279.9072,
3661 |         10973.5048,
3662 |         10678.5186,
3663 |         10392.4876,
3664 |         10105.2556,
3665 |         9825.766,
3666 |         9562.5444,
3667 |         9294.2222,
3668 |         9038.2352,
3669 |         8784.848,
3670 |         8533.2644,
3671 |         8301.7776,
3672 |         8058.30859999999,
3673 |         7822.94579999999,
3674 |         7599.11319999999,
3675 |         7366.90779999999,
3676 |         7161.217,
3677 |         6957.53080000001,
3678 |         6736.212,
3679 |         6548.21220000001,
3680 |         6343.06839999999,
3681 |         6156.28719999999,
3682 |         5975.15419999999,
3683 |         5791.75719999999,
3684 |         5621.32019999999,
3685 |         5451.66,
3686 |         5287.61040000001,
3687 |         5118.09479999999,
3688 |         4957.288,
3689 |         4798.4246,
3690 |         4662.17559999999,
3691 |         4512.05900000001,
3692 |         4364.68539999999,
3693 |         4220.77720000001,
3694 |         4082.67259999999,
3695 |         3957.19519999999,
3696 |         3842.15779999999,
3697 |         3699.3328,
3698 |         3583.01180000001,
3699 |         3473.8964,
3700 |         3338.66639999999,
3701 |         3233.55559999999,
3702 |         3117.799,
3703 |         3008.111,
3704 |         2909.69140000001,
3705 |         2814.86499999999,
3706 |         2719.46119999999,
3707 |         2624.742,
3708 |         2532.46979999999,
3709 |         2444.7886,
3710 |         2370.1868,
3711 |         2272.45259999999,
3712 |         2196.19260000001,
3713 |         2117.90419999999,
3714 |         2023.2972,
3715 |         1969.76819999999,
3716 |         1885.58979999999,
3717 |         1833.2824,
3718 |         1733.91200000001,
3719 |         1682.54920000001,
3720 |         1604.57980000001,
3721 |         1556.11240000001,
3722 |         1491.3064,
3723 |         1421.71960000001,
3724 |         1371.22899999999,
3725 |         1322.1324,
3726 |         1264.7892,
3727 |         1196.23920000001,
3728 |         1143.8474,
3729 |         1088.67240000001,
3730 |         1073.60380000001,
3731 |         1023.11660000001,
3732 |         959.036400000012,
3733 |         927.433199999999,
3734 |         906.792799999996,
3735 |         853.433599999989,
3736 |         841.873800000001,
3737 |         791.1054,
3738 |         756.899999999994,
3739 |         704.343200000003,
3740 |         672.495599999995,
3741 |         622.790399999998,
3742 |         611.254799999995,
3743 |         567.283200000005,
3744 |         519.406599999988,
3745 |         519.188400000014,
3746 |         495.312800000014,
3747 |         451.350799999986,
3748 |         443.973399999988,
3749 |         431.882199999993,
3750 |         392.027000000002,
3751 |         380.924200000009,
3752 |         345.128999999986,
3753 |         298.901400000002,
3754 |         287.771999999997,
3755 |         272.625,
3756 |         247.253000000026,
3757 |         222.490600000019,
3758 |         223.590000000026,
3759 |         196.407599999977,
3760 |         176.425999999978,
3761 |         134.725199999986,
3762 |         132.4804,
3763 |         110.445599999977,
3764 |         86.7939999999944,
3765 |         56.7038000000175,
3766 |         64.915399999998,
3767 |         38.3726000000024,
3768 |         37.1606000000029,
3769 |         46.170999999973,
3770 |         49.1716000000015,
3771 |         15.3362000000197,
3772 |         6.71639999997569,
3773 |         -34.8185999999987,
3774 |         -39.4476000000141,
3775 |         12.6830000000191,
3776 |         -12.3331999999937,
3777 |         -50.6565999999875,
3778 |         -59.9538000000175,
3779 |         -65.1054000000004,
3780 |         -70.7576000000117,
3781 |         -106.325200000021,
3782 |         -126.852200000023,
3783 |         -110.227599999984,
3784 |         -132.885999999999,
3785 |         -113.897200000007,
3786 |         -142.713800000027,
3787 |         -151.145399999979,
3788 |         -150.799200000009,
3789 |         -177.756200000003,
3790 |         -156.036399999983,
3791 |         -182.735199999996,
3792 |         -177.259399999981,
3793 |         -198.663600000029,
3794 |         -174.577600000019,
3795 |         -193.84580000001,
3796 |     ],
3797 |     &[
3798 |         94541.0,
3799 |         92848.811,
3800 |         91174.019,
3801 |         89517.558,
3802 |         87879.9705,
3803 |         86262.7565,
3804 |         84663.5125,
3805 |         83083.7435,
3806 |         81521.7865,
3807 |         79977.272,
3808 |         78455.9465,
3809 |         76950.219,
3810 |         75465.432,
3811 |         73994.152,
3812 |         72546.71,
3813 |         71115.2345,
3814 |         69705.6765,
3815 |         68314.937,
3816 |         66944.2705,
3817 |         65591.255,
3818 |         64252.9485,
3819 |         62938.016,
3820 |         61636.8225,
3821 |         60355.592,
3822 |         59092.789,
3823 |         57850.568,
3824 |         56624.518,
3825 |         55417.343,
3826 |         54231.1415,
3827 |         53067.387,
3828 |         51903.526,
3829 |         50774.649,
3830 |         49657.6415,
3831 |         48561.05,
3832 |         47475.7575,
3833 |         46410.159,
3834 |         45364.852,
3835 |         44327.053,
3836 |         43318.4005,
3837 |         42325.6165,
3838 |         41348.4595,
3839 |         40383.6265,
3840 |         39436.77,
3841 |         38509.502,
3842 |         37594.035,
3843 |         36695.939,
3844 |         35818.6895,
3845 |         34955.691,
3846 |         34115.8095,
3847 |         33293.949,
3848 |         32465.0775,
3849 |         31657.6715,
3850 |         30877.2585,
3851 |         30093.78,
3852 |         29351.3695,
3853 |         28594.1365,
3854 |         27872.115,
3855 |         27168.7465,
3856 |         26477.076,
3857 |         25774.541,
3858 |         25106.5375,
3859 |         24452.5135,
3860 |         23815.5125,
3861 |         23174.0655,
3862 |         22555.2685,
3863 |         21960.2065,
3864 |         21376.3555,
3865 |         20785.1925,
3866 |         20211.517,
3867 |         19657.0725,
3868 |         19141.6865,
3869 |         18579.737,
3870 |         18081.3955,
3871 |         17578.995,
3872 |         17073.44,
3873 |         16608.335,
3874 |         16119.911,
3875 |         15651.266,
3876 |         15194.583,
3877 |         14749.0495,
3878 |         14343.4835,
3879 |         13925.639,
3880 |         13504.509,
3881 |         13099.3885,
3882 |         12691.2855,
3883 |         12328.018,
3884 |         11969.0345,
3885 |         11596.5145,
3886 |         11245.6355,
3887 |         10917.6575,
3888 |         10580.9785,
3889 |         10277.8605,
3890 |         9926.58100000001,
3891 |         9605.538,
3892 |         9300.42950000003,
3893 |         8989.97850000003,
3894 |         8728.73249999998,
3895 |         8448.3235,
3896 |         8175.31050000002,
3897 |         7898.98700000002,
3898 |         7629.79100000003,
3899 |         7413.76199999999,
3900 |         7149.92300000001,
3901 |         6921.12650000001,
3902 |         6677.1545,
3903 |         6443.28000000003,
3904 |         6278.23450000002,
3905 |         6014.20049999998,
3906 |         5791.20299999998,
3907 |         5605.78450000001,
3908 |         5438.48800000001,
3909 |         5234.2255,
3910 |         5059.6825,
3911 |         4887.43349999998,
3912 |         4682.935,
3913 |         4496.31099999999,
3914 |         4322.52250000002,
3915 |         4191.42499999999,
3916 |         4021.24200000003,
3917 |         3900.64799999999,
3918 |         3762.84250000003,
3919 |         3609.98050000001,
3920 |         3502.29599999997,
3921 |         3363.84250000003,
3922 |         3206.54849999998,
3923 |         3079.70000000001,
3924 |         2971.42300000001,
3925 |         2867.80349999998,
3926 |         2727.08100000001,
3927 |         2630.74900000001,
3928 |         2496.6165,
3929 |         2440.902,
3930 |         2356.19150000002,
3931 |         2235.58199999999,
3932 |         2120.54149999999,
3933 |         2012.25449999998,
3934 |         1933.35600000003,
3935 |         1820.93099999998,
3936 |         1761.54800000001,
3937 |         1663.09350000002,
3938 |         1578.84600000002,
3939 |         1509.48149999999,
3940 |         1427.3345,
3941 |         1379.56150000001,
3942 |         1306.68099999998,
3943 |         1212.63449999999,
3944 |         1084.17300000001,
3945 |         1124.16450000001,
3946 |         1060.69949999999,
3947 |         1007.48849999998,
3948 |         941.194499999983,
3949 |         879.880500000028,
3950 |         836.007500000007,
3951 |         782.802000000025,
3952 |         748.385499999975,
3953 |         647.991500000004,
3954 |         626.730500000005,
3955 |         570.776000000013,
3956 |         484.000500000024,
3957 |         513.98550000001,
3958 |         418.985499999952,
3959 |         386.996999999974,
3960 |         370.026500000036,
3961 |         355.496999999974,
3962 |         356.731499999994,
3963 |         255.92200000002,
3964 |         259.094000000041,
3965 |         205.434499999974,
3966 |         165.374500000034,
3967 |         197.347500000033,
3968 |         95.718499999959,
3969 |         67.6165000000037,
3970 |         54.6970000000438,
3971 |         31.7395000000251,
3972 |         -15.8784999999916,
3973 |         8.42500000004657,
3974 |         -26.3754999999655,
3975 |         -118.425500000012,
3976 |         -66.6629999999423,
3977 |         -42.9745000000112,
3978 |         -107.364999999991,
3979 |         -189.839000000036,
3980 |         -162.611499999999,
3981 |         -164.964999999967,
3982 |         -189.079999999958,
3983 |         -223.931499999948,
3984 |         -235.329999999958,
3985 |         -269.639500000048,
3986 |         -249.087999999989,
3987 |         -206.475499999942,
3988 |         -283.04449999996,
3989 |         -290.667000000016,
3990 |         -304.561499999953,
3991 |         -336.784499999951,
3992 |         -380.386500000022,
3993 |         -283.280499999993,
3994 |         -364.533000000054,
3995 |         -389.059499999974,
3996 |         -364.454000000027,
3997 |         -415.748000000021,
3998 |         -417.155000000028,
3999 |     ],
4000 |     &[
4001 |         189083.0,
4002 |         185696.913,
4003 |         182348.774,
4004 |         179035.946,
4005 |         175762.762,
4006 |         172526.444,
4007 |         169329.754,
4008 |         166166.099,
4009 |         163043.269,
4010 |         159958.91,
4011 |         156907.912,
4012 |         153906.845,
4013 |         150924.199,
4014 |         147996.568,
4015 |         145093.457,
4016 |         142239.233,
4017 |         139421.475,
4018 |         136632.27,
4019 |         133889.588,
4020 |         131174.2,
4021 |         128511.619,
4022 |         125868.621,
4023 |         123265.385,
4024 |         120721.061,
4025 |         118181.769,
4026 |         115709.456,
4027 |         113252.446,
4028 |         110840.198,
4029 |         108465.099,
4030 |         106126.164,
4031 |         103823.469,
4032 |         101556.618,
4033 |         99308.004,
4034 |         97124.508,
4035 |         94937.803,
4036 |         92833.731,
4037 |         90745.061,
4038 |         88677.627,
4039 |         86617.47,
4040 |         84650.442,
4041 |         82697.833,
4042 |         80769.132,
4043 |         78879.629,
4044 |         77014.432,
4045 |         75215.626,
4046 |         73384.587,
4047 |         71652.482,
4048 |         69895.93,
4049 |         68209.301,
4050 |         66553.669,
4051 |         64921.981,
4052 |         63310.323,
4053 |         61742.115,
4054 |         60205.018,
4055 |         58698.658,
4056 |         57190.657,
4057 |         55760.865,
4058 |         54331.169,
4059 |         52908.167,
4060 |         51550.273,
4061 |         50225.254,
4062 |         48922.421,
4063 |         47614.533,
4064 |         46362.049,
4065 |         45098.569,
4066 |         43926.083,
4067 |         42736.03,
4068 |         41593.473,
4069 |         40425.26,
4070 |         39316.237,
4071 |         38243.651,
4072 |         37170.617,
4073 |         36114.609,
4074 |         35084.19,
4075 |         34117.233,
4076 |         33206.509,
4077 |         32231.505,
4078 |         31318.728,
4079 |         30403.404,
4080 |         29540.0550000001,
4081 |         28679.236,
4082 |         27825.862,
4083 |         26965.216,
4084 |         26179.148,
4085 |         25462.08,
4086 |         24645.952,
4087 |         23922.523,
4088 |         23198.144,
4089 |         22529.128,
4090 |         21762.4179999999,
4091 |         21134.779,
4092 |         20459.117,
4093 |         19840.818,
4094 |         19187.04,
4095 |         18636.3689999999,
4096 |         17982.831,
4097 |         17439.7389999999,
4098 |         16874.547,
4099 |         16358.2169999999,
4100 |         15835.684,
4101 |         15352.914,
4102 |         14823.681,
4103 |         14329.313,
4104 |         13816.897,
4105 |         13342.874,
4106 |         12880.882,
4107 |         12491.648,
4108 |         12021.254,
4109 |         11625.392,
4110 |         11293.7610000001,
4111 |         10813.697,
4112 |         10456.209,
4113 |         10099.074,
4114 |         9755.39000000001,
4115 |         9393.18500000006,
4116 |         9047.57900000003,
4117 |         8657.98499999999,
4118 |         8395.85900000005,
4119 |         8033.0,
4120 |         7736.95900000003,
4121 |         7430.59699999995,
4122 |         7258.47699999996,
4123 |         6924.58200000005,
4124 |         6691.29399999999,
4125 |         6357.92500000005,
4126 |         6202.05700000003,
4127 |         5921.19700000004,
4128 |         5628.28399999999,
4129 |         5404.96799999999,
4130 |         5226.71100000001,
4131 |         4990.75600000005,
4132 |         4799.77399999998,
4133 |         4622.93099999998,
4134 |         4472.478,
4135 |         4171.78700000001,
4136 |         3957.46299999999,
4137 |         3868.95200000005,
4138 |         3691.14300000004,
4139 |         3474.63100000005,
4140 |         3341.67200000002,
4141 |         3109.14000000001,
4142 |         3071.97400000005,
4143 |         2796.40399999998,
4144 |         2756.17799999996,
4145 |         2611.46999999997,
4146 |         2471.93000000005,
4147 |         2382.26399999997,
4148 |         2209.22400000005,
4149 |         2142.28399999999,
4150 |         2013.96100000001,
4151 |         1911.18999999994,
4152 |         1818.27099999995,
4153 |         1668.47900000005,
4154 |         1519.65800000005,
4155 |         1469.67599999998,
4156 |         1367.13800000004,
4157 |         1248.52899999998,
4158 |         1181.23600000003,
4159 |         1022.71900000004,
4160 |         1088.20700000005,
4161 |         959.03600000008,
4162 |         876.095999999903,
4163 |         791.183999999892,
4164 |         703.337000000058,
4165 |         731.949999999953,
4166 |         586.86400000006,
4167 |         526.024999999907,
4168 |         323.004999999888,
4169 |         320.448000000091,
4170 |         340.672999999952,
4171 |         309.638999999966,
4172 |         216.601999999955,
4173 |         102.922999999952,
4174 |         19.2399999999907,
4175 |         -0.114000000059605,
4176 |         -32.6240000000689,
4177 |         -89.3179999999702,
4178 |         -153.497999999905,
4179 |         -64.2970000000205,
4180 |         -143.695999999996,
4181 |         -259.497999999905,
4182 |         -253.017999999924,
4183 |         -213.948000000091,
4184 |         -397.590000000084,
4185 |         -434.006000000052,
4186 |         -403.475000000093,
4187 |         -297.958000000101,
4188 |         -404.317000000039,
4189 |         -528.898999999976,
4190 |         -506.621000000043,
4191 |         -513.205000000075,
4192 |         -479.351000000024,
4193 |         -596.139999999898,
4194 |         -527.016999999993,
4195 |         -664.681000000099,
4196 |         -680.306000000099,
4197 |         -704.050000000047,
4198 |         -850.486000000034,
4199 |         -757.43200000003,
4200 |         -713.308999999892,
4201 |     ],
4202 | ];
4203 | 


--------------------------------------------------------------------------------