We analyzed hyperbolic arbitrary triangles of different
angle measures to test our conjecture. The triangles were constructed as the region bounded by two circles
and the y axis, as in the blue-shaded area of this image:
Here we find it easier to specify the triangles by the measurements of v, u, and s; r =sqrt(u^2+1).
We can then find that alpha = acos(v/s), beta = acos(((u+v)^2-r^2-s^2)/(-2*s*r)), and gamma = atan(1/u).
Next, we need to find the hyperbolic area and perimeter of the triangle. The area is the angle deficit, or
pi-(alpha+beta+gamma). To find the perimeter we use the hyperbolic laws of sines and cosines to find
Sa = acosh((cos(beta)*cos(gamma)+cos(alpha))/(sin(beta)*sin(gamma))), Sb = asinh(sinh(Sa)*sin(beta)/sin(alpha)),
and Sc = asinh(sinh(Sa)*sin(gamma)/sin(alpha)). We then have N'(t) = Area/4pi*t - Perimeter/4pi*sqrt(t) + c where
c = 1/24*sum(pi/theta-theta/pi)-Area/12.
Unlike the Euclidean and Spherical space, we do not have a region where the eigenvalue spectrum is known to use as a test case for accuracy in Hyperbolic space. After computing the eigenvalues for several Hyperbolic equilateral triangles and seeing that their multiplicity 2 eigenvalues are all very close to equal, we can assume that our computed eigenvalues for these arbitrary triangles are accurate; indeed we will observe in the counting graphs below that they conform very closely to our prediction N'(t).
Here for the set (u,v,s) we have 1: (5,10,11), 2: (3,4,6), 3: (2,2,sqrt(21)), and 4: (2,3,sqrt(5)+4.9).
Difference Graphs for the Hyperbolic Arbitrary Triangles
Calculated and Predicted Eigenvalue Spectrums for the Hyperbolic Arbitrary Triangles
Hyperbolic Triangle 1 | ||||||||
---|---|---|---|---|---|---|---|---|
u = 5 | v = 10 | s = 11 | ||||||
Refinement | ||||||||
# | Initial | 1 | 2 | 3 | 4 | 5 | Predicted | |
1 | 322.147016 | 273.881435 | 260.4052933 | 256.9088076 | 256.0210751 | 255.797524 | 255.7205244 | |
2 | 639.1805825 | 444.9434303 | 401.3008724 | 390.6629161 | 388.0191881 | 387.3589646 | 387.1315582 | |
3 | 852.9799557 | 595.890452 | 531.0164299 | 514.4377025 | 510.2708675 | 509.2274064 | 508.8679981 | |
4 | 1325.973591 | 763.4361238 | 664.6071602 | 639.7380651 | 633.4908644 | 631.9256565 | 631.3865385 | |
5 | 2578.535641 | 953.3483781 | 815.2872721 | 779.2558903 | 770.1561533 | 767.8742903 | 767.0883286 | |
6 | 0 | 1072.539658 | 916.7029921 | 879.1510626 | 869.8690434 | 867.5501677 | 866.7514574 | |
7 | 0 | 1183.183592 | 985.8383102 | 935.5947902 | 922.9536791 | 919.7860927 | 918.6950538 | |
8 | 0 | 1366.536933 | 1133.991027 | 1073.523483 | 1058.121265 | 1054.247046 | 1052.912616 | |
9 | 0 | 1563.162893 | 1269.153095 | 1189.911535 | 1169.7553 | 1164.687091 | 1162.941404 | |
10 | 0 | 1616.142987 | 1328.884312 | 1248.559275 | 1227.713972 | 1222.443275 | 1220.627844 | |
11 | 0 | 1871.480592 | 1490.99641 | 1388.6116 | 1362.587482 | 1356.042106 | 1353.787626 | |
12 | 0 | 2025.778004 | 1602.262082 | 1475.761735 | 1442.784721 | 1434.466403 | 1431.601254 | |
13 | 0 | 2170.802876 | 1707.100835 | 1574.544878 | 1540.962416 | 1532.53286 | 1529.629396 | |
14 | 0 | 2453.522575 | 1889.11031 | 1705.700375 | 1660.72023 | 1649.530489 | 1645.676311 | |
15 | 0 | 2565.661881 | 1937.596984 | 1772.263439 | 1729.805582 | 1719.114266 | 1715.431765 | |
16 | 0 | 2665.65527 | 2093.406413 | 1923.108809 | 1879.136208 | 1867.799696 | 1863.894964 | |
17 | 0 | 2773.816128 | 2189.945427 | 1968.979729 | 1910.807776 | 1896.439589 | 1891.490631 | |
18 | 0 | 3213.01797 | 2211.594224 | 1988.326651 | 1934.078481 | 1920.477314 | 1915.792548 | |
19 | 0 | 3351.878503 | 2450.012726 | 2190.212096 | 2123.694539 | 2106.916053 | 2101.136895 | |
20 | 0 | 3536.068629 | 2533.725296 | 2248.096145 | 2173.013909 | 2154.1129 | 2147.602663 | |
21 | 0 | 3616.596525 | 2684.637176 | 2390.877106 | 2318.035732 | 2299.612017 | 2293.266179 | |
22 | 0 | 3839.764266 | 2755.672972 | 2433.281152 | 2351.957003 | 2331.778787 | 2324.828631 | |
23 | 0 | 3882.152687 | 2889.420938 | 2539.328987 | 2449.69439 | 2427.113469 | 2419.335729 | |
24 | 0 | 4332.494639 | 3008.919612 | 2652.755893 | 2557.2576 | 2532.949634 | 2524.577034 | |
25 | 0 | 4536.105892 | 3103.160127 | 2736.947238 | 2644.598571 | 2621.218084 | 2613.164942 | |
26 | 0 | 4751.249365 | 3315.524989 | 2862.796489 | 2747.104123 | 2718.063306 | 2708.060529 | |
27 | 0 | 5375.758156 | 3359.666231 | 2923.624336 | 2807.660732 | 2778.171106 | 2768.013741 | |
28 | 0 | 5490.173 | 3498.696008 | 3043.675018 | 2925.882404 | 2895.980564 | 2885.681217 | |
29 | 0 | 5744.155802 | 3689.553868 | 3154.034104 | 3012.604924 | 2976.64491 | 2964.258895 | |
30 | 0 | 6190.108672 | 3819.980933 | 3230.555179 | 3081.30944 | 3044.297678 | 3031.5494 | |
31 | 0 | 6237.986687 | 3868.452649 | 3353.70804 | 3215.062743 | 3178.530008 | 3165.946725 | |
32 | 0 | 7262.771501 | 4028.892524 | 3429.506192 | 3274.332308 | 3235.689598 | 3222.379558 | |
33 | 0 | 8357.058863 | 4069.242611 | 3477.335517 | 3319.978407 | 3280.597335 | 3267.032975 | |
34 | 0 | 8530.344704 | 4282.2125 | 3600.638502 | 3422.882989 | 3378.574275 | 3363.312644 | |
35 | 0 | 9972.732638 | 4423.170132 | 3716.761745 | 3521.743631 | 3472.148278 | 3455.065725 | |
36 | 0 | 11911.78889 | 4507.271248 | 3777.354077 | 3587.372419 | 3539.867799 | 3523.505375 | |
37 | 0 | 12246.72369 | 4681.040353 | 3920.246833 | 3723.587462 | 3673.65008 | 3656.449719 | |
38 | 0 | 0 | 4820.791826 | 4025.364408 | 3802.247839 | 3745.142184 | 3725.472794 | |
39 | 0 | 0 | 4895.136593 | 4140.496405 | 3925.065306 | 3865.741814 | 3845.308515 | |
40 | 0 | 0 | 5062.077125 | 4165.9571 | 3947.126469 | 3896.57994 | 3879.169765 | |
41 | 0 | 0 | 5189.407646 | 4278.360683 | 4039.81048 | 3979.586717 | 3958.843329 | |
42 | 0 | 0 | 5279.457324 | 4355.87833 | 4102.862088 | 4038.508145 | 4016.342165 | |
43 | 0 | 0 | 5475.538773 | 4546.152464 | 4283.53635 | 4215.106863 | 4191.537108 | |
44 | 0 | 0 | 5535.623729 | 4609.65806 | 4343.844641 | 4273.422617 | 4249.166555 | |
45 | 0 | 0 | 5665.989914 | 4650.251849 | 4366.01019 | 4294.229048 | 4269.504853 | |
46 | 0 | 0 | 5826.314731 | 4750.915477 | 4475.286701 | 4408.647049 | 4385.693782 | |
47 | 0 | 0 | 5973.345424 | 4918.956704 | 4617.219092 | 4539.456198 | 4512.671657 | |
48 | 0 | 0 | 6116.672899 | 5015.600507 | 4678.192725 | 4591.545276 | 4561.700552 | |
49 | 0 | 0 | 6152.411243 | 5063.650688 | 4727.699487 | 4641.112395 | 4611.28846 | |
50 | 0 | 0 | 6445.276729 | 5145.365637 | 4830.962652 | 4751.893336 | 4724.658813 | |
51 | 0 | 0 | 6515.18528 | 5305.825025 | 4953.990774 | 4862.192694 | 4830.573895 | |
52 | 0 | 0 | 6638.635336 | 5382.372129 | 5013.279759 | 4919.360652 | 4887.011289 | |
53 | 0 | 0 | 6695.63263 | 5423.078674 | 5073.417358 | 4981.648185 | 4950.039342 | |
54 | 0 | 0 | 6971.894959 | 5564.800249 | 5193.358022 | 5102.358897 | 5071.015289 | |
55 | 0 | 0 | 7113.886644 | 5704.345754 | 5286.446642 | 5177.999199 | 5140.645717 | |
56 | 0 | 0 | 7153.144123 | 5743.666772 | 5339.584986 | 5233.46236 | 5196.909634 | |
57 | 0 | 0 | 7266.847076 | 5783.009767 | 5369.101633 | 5268.07287 | 5233.274667 | |
58 | 0 | 0 | 7492.467468 | 6031.734039 | 5568.475143 | 5449.00591 | 5407.856097 | |
59 | 0 | 0 | 7626.360866 | 6112.003868 | 5628.704879 | 5504.679105 | 5461.959845 | |
60 | 0 | 0 | 7778.798258 | 6167.048872 | 5694.132677 | 5573.524016 | 5531.981741 | |
61 | 0 | 0 | 7789.514267 | 6199.683883 | 5775.001144 | 5667.707688 | 5630.751683 | |
62 | 0 | 0 | 8002.88529 | 6382.036056 | 5925.714977 | 5807.856489 | 5767.261479 | |
63 | 0 | 0 | 8094.236895 | 6524.16382 | 5981.006416 | 5843.64495 | 5796.332362 | |
64 | 0 | 0 | 8227.519541 | 6574.085884 | 6039.785096 | 5905.207532 | 5858.853828 | |
65 | 0 | 0 | 8421.306825 | 6617.145265 | 6079.305758 | 5940.25417 | 5892.35944 | |
66 | 0 | 0 | 8609.53289 | 6756.592703 | 6234.787296 | 6102.715496 | 6057.224874 | |
67 | 0 | 0 | 8693.936391 | 6923.558707 | 6342.471752 | 6179.19135 | 6122.951281 | |
68 | 0 | 0 | 8878.556597 | 6982.288486 | 6391.271326 | 6250.463243 | 6201.963507 | |
69 | 0 | 0 | 9044.175117 | 7084.645673 | 6483.997616 | 6329.204549 | 6275.887846 | |
70 | 0 | 0 | 9212.423048 | 7137.054312 | 6547.960137 | 6408.753561 | 6360.805446 | |
71 | 0 | 0 | 9444.936917 | 7302.856336 | 6696.06201 | 6533.912889 | 6478.062477 | |
72 | 0 | 0 | 9671.342479 | 7410.776558 | 6726.574702 | 6549.989995 | 6489.167411 | |
73 | 0 | 0 | 9700.082794 | 7464.968868 | 6827.597849 | 6665.005708 | 6609.002702 | |
74 | 0 | 0 | 9907.64751 | 7589.31619 | 6919.633696 | 6749.532112 | 6690.942565 | |
75 | 0 | 0 | 9950.508446 | 7679.392366 | 6984.006029 | 6809.533822 | 6749.438863 | |
76 | 0 | 0 | 9998.777117 | 7848.475253 | 7093.414478 | 6897.435268 | 6829.932468 | |
77 | 0 | 0 | 10361.56655 | 7903.221066 | 7165.230418 | 6971.420216 | 6904.664507 | |
78 | 0 | 0 | 10399.53254 | 7941.500079 | 7254.197202 | 7079.046837 | 7018.718295 | |
79 | 0 | 0 | 10496.67478 | 8098.405226 | 7346.35635 | 7149.826626 | 7082.134208 | |
80 | 0 | 0 | 10603.7404 | 8192.707178 | 7476.380424 | 7260.079586 | 7185.577233 | |
81 | 0 | 0 | 10761.36598 | 8340.519654 | 7484.439255 | 7297.965941 | 7233.737338 | |
82 | 0 | 0 | 11050.27935 | 8402.20875 | 7611.719604 | 7406.345378 | 7335.606573 | |
83 | 0 | 0 | 11224.92387 | 8484.508318 | 7642.687049 | 7425.353344 | 7350.495233 | |
84 | 0 | 0 | 11307.44116 | 8654.281627 | 7825.98173 | 7590.369979 | 7509.216204 | |
85 | 0 | 0 | 11388.71668 | 8776.445989 | 7885.71552 | 7647.18203 | 7565.021895 | |
86 | 0 | 0 | 11692.37222 | 8868.205787 | 7910.240764 | 7684.424881 | 7606.645181 | |
87 | 0 | 0 | 11980.49197 | 8933.673346 | 8043.283766 | 7820.76623 | 7744.122607 | |
88 | 0 | 0 | 12239.12908 | 9052.237042 | 8104.626422 | 7866.235381 | 7784.124311 | |
89 | 0 | 0 | 12291.09125 | 9158.654572 | 8296.053359 | 8022.817051 | 7928.703927 | |
90 | 0 | 0 | 12437.14951 | 9338.420057 | 8325.863405 | 8066.700064 | 7977.434213 | |
91 | 0 | 0 | 12672.29648 | 9397.323828 | 8366.015514 | 8125.372923 | 8042.486332 | |
92 | 0 | 0 | 12805.46364 | 9467.242264 | 8484.579866 | 8232.700758 | 8145.943877 | |
93 | 0 | 0 | 0 | 9563.327062 | 8562.795773 | 8321.176901 | 8237.954042 | |
94 | 0 | 0 | 0 | 9679.50124 | 8616.747916 | 8342.356324 | 8247.845275 | |
95 | 0 | 0 | 0 | 9853.841849 | 8734.880875 | 8436.393331 | 8333.582707 | |
96 | 0 | 0 | 0 | 9929.728006 | 8829.172184 | 8525.606506 | 8421.046777 | |
97 | 0 | 0 | 0 | 10039.22178 | 8944.081 | 8649.951705 | 8548.64223 | |
98 | 0 | 0 | 0 | 10147.80033 | 9023.791923 | 8737.972701 | 8639.525536 | |
99 | 0 | 0 | 0 | 10194.47214 | 9122.532536 | 8827.075637 | 8725.308884 | |
100 | 0 | 0 | 0 | 10350.04438 | 9161.676615 | 8860.82622 | 8757.201739 | |
101 | 0 | 0 | 0 | 10412.39665 | 9189.884171 | 8908.984002 | 8812.231148 | |
102 | 0 | 0 | 0 | 10549.28116 | 9322.50369 | 8997.050111 | 8884.951344 | |
103 | 0 | 0 | 0 | 10665.80879 | 9477.592023 | 9154.444379 | 9043.139865 | |
104 | 0 | 0 | 0 | 10777.588 | 9506.299918 | 9186.291234 | 9076.067899 | |
105 | 0 | 0 | 0 | 10884.49287 | 9644.092881 | 9275.65711 | 9148.753619 | |
106 | 0 | 0 | 0 | 10995.48875 | 9678.589618 | 9365.971622 | 9258.293925 | |
107 | 0 | 0 | 0 | 11074.74493 | 9743.784109 | 9433.212143 | 9326.239178 | |
108 | 0 | 0 | 0 | 11144.0729 | 9791.673089 | 9441.683975 | 9321.134224 | |
109 | 0 | 0 | 0 | 11340.44496 | 9983.166106 | 9620.323391 | 9495.346363 | |
110 | 0 | 0 | 0 | 11394.90141 | 10064.40562 | 9691.53806 | 9563.108088 | |
111 | 0 | 0 | 0 | 11595.33628 | 10130.01676 | 9740.73925 | 9606.657058 | |
112 | 0 | 0 | 0 | 11624.90697 | 10182.95919 | 9841.793954 | 9724.283486 | |
113 | 0 | 0 | 0 | 11659.90886 | 10287.38837 | 9919.866458 | 9793.277736 | |
114 | 0 | 0 | 0 | 11778.24603 | 10367.96751 | 10015.15554 | 9893.633486 | |
115 | 0 | 0 | 0 | 12005.06757 | 10485.63154 | 10096.32078 | 9962.22714 | |
116 | 0 | 0 | 0 | 12079.15235 | 10602.99359 | 10160.84112 | 10008.54675 | |
117 | 0 | 0 | 0 | 12216.10854 | 10637.27012 | 10267.96838 | 10140.76661 | |
118 | 0 | 0 | 0 | 12287.92046 | 10679.55673 | 10276.89303 | 10138.20011 | |
119 | 0 | 0 | 0 | 12343.06046 | 10823.00218 | 10387.62284 | 10237.6614 | |
120 | 0 | 0 | 0 | 12481.82769 | 10932.29875 | 10505.55799 | 10358.57201 | |
121 | 0 | 0 | 0 | 12651.9662 | 11022.17486 | 10601.8722 | 10457.10375 | |
122 | 0 | 0 | 0 | 12769.71193 | 11125.73131 | 10655.79728 | 10493.93388 | |
123 | 0 | 0 | 0 | 12865.88958 | 11143.45513 | 10745.76242 | 10608.78172 | |
124 | 0 | 0 | 0 | 12890.39273 | 11217.68435 | 10811.46956 | 10671.55351 | |
125 | 0 | 0 | 0 | 0 | 11356.05742 | 10901.62806 | 10745.10507 | |
126 | 0 | 0 | 0 | 0 | 11467.07942 | 10987.22212 | 10821.94075 | |
127 | 0 | 0 | 0 | 0 | 11504.03741 | 11045.92343 | 10888.1313 | |
128 | 0 | 0 | 0 | 0 | 11634.54518 | 11114.47996 | 10935.34944 | |
129 | 0 | 0 | 0 | 0 | 11743.81781 | 11247.51184 | 11076.56492 | |
130 | 0 | 0 | 0 | 0 | 11777.48293 | 11315.09869 | 11155.83572 | |
131 | 0 | 0 | 0 | 0 | 11838.50619 | 11395.58483 | 11243.02563 | |
132 | 0 | 0 | 0 | 0 | 12000.80721 | 11462.38287 | 11276.92876 | |
133 | 0 | 0 | 0 | 0 | 12039.23298 | 11512.2409 | 11330.72451 | |
134 | 0 | 0 | 0 | 0 | 12167.90538 | 11615.13983 | 11424.74606 | |
135 | 0 | 0 | 0 | 0 | 12196.10052 | 11720.78482 | 11557.06777 | |
136 | 0 | 0 | 0 | 0 | 12345.13841 | 11818.69641 | 11637.36948 | |
137 | 0 | 0 | 0 | 0 | 12421.48848 | 11886.14775 | 11701.75576 | |
138 | 0 | 0 | 0 | 0 | 12458.62828 | 11938.07623 | 11758.77802 | |
139 | 0 | 0 | 0 | 0 | 12567.14822 | 12027.91977 | 11842.18869 | |
140 | 0 | 0 | 0 | 0 | 12673.3096 | 12065.55185 | 11856.21664 | |
141 | 0 | 0 | 0 | 0 | 12748.88483 | 12181.37131 | 11985.89776 | |
142 | 0 | 0 | 0 | 0 | 12812.39849 | 12270.44231 | 12083.77169 |
Hyperbolic Triangle 2 | ||||||||
---|---|---|---|---|---|---|---|---|
u = 3 | v = 4 | s = 6 | ||||||
Refinement | ||||||||
# | Initial | 1 | 2 | 3 | 4 | 5 | Predicted | |
1 | 100.8948206 | 95.44613618 | 94.06148874 | 93.71202428 | 93.62434033 | 93.60239328 | 93.59478935 | |
2 | 195.6822731 | 173.6835141 | 167.7392065 | 166.2014088 | 165.812628 | 165.7151166 | 165.6813321 | |
3 | 299.2786952 | 254.8749989 | 241.8719626 | 238.406229 | 237.5230234 | 237.3010677 | 237.2241674 | |
4 | 366.7246962 | 296.6999833 | 279.5705005 | 275.3723828 | 274.3280642 | 274.0672606 | 273.9769008 | |
5 | 474.8833462 | 374.5436065 | 346.4052899 | 339.0821495 | 337.2299431 | 336.7654159 | 336.6044726 | |
6 | 613.7685123 | 436.8363558 | 399.883377 | 391.0235661 | 388.8258585 | 388.2772256 | 388.0871425 | |
7 | 639.6001761 | 510.5479861 | 470.9848249 | 459.3361745 | 456.2708124 | 455.4944203 | 455.2254262 | |
8 | 796.3200412 | 546.362244 | 496.8855703 | 485.4100898 | 482.628257 | 481.937971 | 481.6988098 | |
9 | 912.7437705 | 624.4492474 | 563.1127872 | 547.8756993 | 544.0280694 | 543.0620914 | 542.7274121 | |
10 | 973.3823718 | 691.9108997 | 622.5058191 | 602.3884438 | 597.1381367 | 595.813037 | 595.3539338 | |
11 | 1078.544915 | 724.480102 | 639.1952141 | 619.970771 | 615.3135922 | 614.1552218 | 613.7538848 | |
12 | 1218.908176 | 833.1447024 | 731.8992497 | 704.5083427 | 697.4428392 | 695.6599785 | 695.0422764 | |
13 | 1282.235135 | 888.7761953 | 789.2815755 | 759.1412763 | 750.9128015 | 748.8098551 | 748.0812539 | |
14 | 1401.018948 | 951.0895656 | 813.4228588 | 782.2095841 | 774.7801089 | 772.93734 | 772.2988816 | |
15 | 1718.026963 | 990.1338093 | 867.6027804 | 834.8716659 | 826.3955159 | 824.2540709 | 823.5121312 | |
16 | 1935.432936 | 1088.084313 | 929.0469641 | 888.0055417 | 877.5605357 | 874.9277268 | 874.0155458 | |
17 | 2387.861124 | 1147.747013 | 980.779961 | 933.6252688 | 920.9298138 | 917.6862836 | 916.5625079 | |
18 | 2895.346712 | 1237.426328 | 1031.745912 | 983.482035 | 971.2518477 | 968.1523896 | 967.0785301 | |
19 | 0 | 1276.440998 | 1068.071097 | 1010.254945 | 995.6780769 | 992.0635934 | 990.8112947 | |
20 | 0 | 1395.296331 | 1147.862512 | 1082.70666 | 1066.093089 | 1061.910488 | 1060.461355 | |
21 | 0 | 1417.779188 | 1198.490167 | 1136.737282 | 1119.166637 | 1114.568181 | 1112.974968 | |
22 | 0 | 1538.15754 | 1263.017055 | 1186.325256 | 1166.08896 | 1161.096622 | 1159.366942 | |
23 | 0 | 1565.709912 | 1281.803365 | 1196.66919 | 1177.208015 | 1172.439473 | 1170.787331 | |
24 | 0 | 1644.63196 | 1355.742848 | 1281.08754 | 1261.965412 | 1257.096776 | 1255.409956 | |
25 | 0 | 1709.172301 | 1384.99903 | 1300.487465 | 1279.492262 | 1274.227283 | 1272.403143 | |
26 | 0 | 1759.659882 | 1447.463513 | 1365.668086 | 1340.205904 | 1333.28907 | 1330.892617 | |
27 | 0 | 1867.40358 | 1499.19055 | 1384.397337 | 1359.445389 | 1353.684677 | 1351.688781 | |
28 | 0 | 1954.529862 | 1543.155821 | 1432.805727 | 1405.537105 | 1398.734496 | 1396.377617 | |
29 | 0 | 2016.620137 | 1640.115024 | 1522.381267 | 1492.734841 | 1485.16864 | 1482.547201 | |
30 | 0 | 2112.613209 | 1656.459236 | 1541.503513 | 1510.170534 | 1502.134483 | 1499.350258 | |
31 | 0 | 2148.011186 | 1714.617198 | 1598.171347 | 1562.804748 | 1553.177404 | 1549.841849 | |
32 | 0 | 2281.842478 | 1762.153961 | 1617.47319 | 1584.038202 | 1576.34345 | 1573.677474 | |
33 | 0 | 2308.011249 | 1828.750381 | 1686.368201 | 1650.110192 | 1640.902408 | 1637.712216 | |
34 | 0 | 2449.592006 | 1871.24836 | 1728.82148 | 1691.397327 | 1681.825054 | 1678.508578 | |
35 | 0 | 2543.533011 | 1963.093989 | 1813.538783 | 1770.408671 | 1758.987997 | 1755.031112 | |
36 | 0 | 2609.28845 | 1980.575846 | 1819.784128 | 1780.500861 | 1769.608817 | 1765.835085 | |
37 | 0 | 2665.280948 | 2024.566848 | 1849.25844 | 1798.660788 | 1786.960438 | 1782.906655 | |
38 | 0 | 2710.484823 | 2097.483734 | 1908.824598 | 1868.357206 | 1858.545792 | 1855.146461 | |
39 | 0 | 2777.553168 | 2151.327211 | 1956.170714 | 1904.680467 | 1891.571564 | 1887.029763 | |
40 | 0 | 2865.758281 | 2167.748274 | 1977.075807 | 1926.405951 | 1913.292955 | 1908.749736 | |
41 | 0 | 3019.083825 | 2281.489235 | 2092.908689 | 2033.674249 | 2015.485948 | 2009.184304 | |
42 | 0 | 3057.650331 | 2338.599953 | 2104.330119 | 2041.952236 | 2028.361909 | 2023.653312 | |
43 | 0 | 3204.071715 | 2367.448487 | 2144.30391 | 2088.328115 | 2074.126569 | 2069.206204 | |
44 | 0 | 3280.579291 | 2449.759606 | 2187.163169 | 2125.312772 | 2110.214294 | 2104.983172 | |
45 | 0 | 3387.12054 | 2468.673513 | 2232.668365 | 2172.830505 | 2157.636921 | 2152.372848 | |
46 | 0 | 3391.028921 | 2547.849709 | 2280.348292 | 2210.044266 | 2192.330827 | 2186.193707 | |
47 | 0 | 3484.007084 | 2577.738572 | 2353.294745 | 2285.548389 | 2266.831447 | 2260.346647 | |
48 | 0 | 3654.983462 | 2667.436886 | 2393.884084 | 2318.665138 | 2299.598179 | 2292.99211 | |
49 | 0 | 3731.257542 | 2709.105431 | 2425.150614 | 2352.61938 | 2334.492945 | 2328.212736 | |
50 | 0 | 3771.816306 | 2735.668123 | 2462.92384 | 2391.979528 | 2372.718735 | 2366.045509 | |
51 | 0 | 3880.884491 | 2831.848679 | 2498.333859 | 2413.454923 | 2394.346604 | 2387.726204 | |
52 | 0 | 3962.074547 | 2875.631784 | 2578.800372 | 2499.467716 | 2478.724763 | 2471.538017 | |
53 | 0 | 4067.68847 | 2905.231733 | 2588.314918 | 2504.274314 | 2483.124587 | 2475.796907 | |
54 | 0 | 4108.81707 | 3020.954965 | 2654.690646 | 2565.24916 | 2543.546718 | 2536.027541 | |
55 | 0 | 4248.854876 | 3041.819785 | 2720.569719 | 2618.98152 | 2590.344276 | 2580.42242 | |
56 | 0 | 4398.338102 | 3107.328972 | 2739.534185 | 2646.790822 | 2625.070794 | 2617.545525 | |
57 | 0 | 4425.609227 | 3155.689262 | 2791.438445 | 2704.717929 | 2683.220235 | 2675.771997 | |
58 | 0 | 4624.266704 | 3235.195866 | 2833.767407 | 2724.449556 | 2696.776617 | 2687.18886 | |
59 | 0 | 4669.749086 | 3302.020805 | 2917.100282 | 2807.226623 | 2779.659978 | 2770.10905 | |
60 | 0 | 4690.167509 | 3359.466846 | 2941.614945 | 2831.845444 | 2803.478413 | 2793.650177 | |
61 | 0 | 4809.537168 | 3387.02192 | 2978.380294 | 2869.242132 | 2841.589881 | 2832.009292 | |
62 | 0 | 4894.229034 | 3462.707999 | 3036.879292 | 2932.37337 | 2901.185946 | 2890.380538 | |
63 | 0 | 4956.572228 | 3525.817925 | 3076.9591 | 2960.055646 | 2934.223288 | 2925.273232 | |
64 | 0 | 5122.186001 | 3570.761433 | 3133.121432 | 3015.24905 | 2986.062748 | 2975.950661 | |
65 | 0 | 5235.127269 | 3592.151363 | 3144.200798 | 3025.529188 | 2991.198126 | 2979.30355 | |
66 | 0 | 5324.93082 | 3690.83732 | 3214.679552 | 3092.241569 | 3064.077993 | 3054.320247 | |
67 | 0 | 5515.206856 | 3794.495019 | 3270.138006 | 3132.767488 | 3098.042679 | 3086.011684 | |
68 | 0 | 5603.789747 | 3816.49816 | 3305.463604 | 3173.15806 | 3138.872258 | 3126.993363 | |
69 | 0 | 5675.686744 | 3878.398054 | 3335.389575 | 3186.71344 | 3148.679455 | 3135.50194 | |
70 | 0 | 5866.585261 | 3923.096929 | 3437.452086 | 3297.221694 | 3258.864577 | 3245.575108 | |
71 | 0 | 6009.906047 | 4019.861894 | 3463.3514 | 3339.322854 | 3297.460658 | 3282.956794 | |
72 | 0 | 6045.197712 | 4049.95607 | 3504.594734 | 3343.997018 | 3310.649144 | 3299.095211 | |
73 | 0 | 6206.491116 | 4066.001292 | 3515.353568 | 3355.177603 | 3314.266506 | 3300.092167 | |
74 | 0 | 6323.346758 | 4201.159989 | 3598.74192 | 3428.143064 | 3387.752246 | 3373.758167 | |
75 | 0 | 6463.45582 | 4225.138121 | 3632.796224 | 3473.009254 | 3432.490799 | 3418.452497 | |
76 | 0 | 6692.898255 | 4278.46732 | 3690.726904 | 3532.946698 | 3491.680543 | 3477.383188 | |
77 | 0 | 6800.254487 | 4382.380117 | 3735.866937 | 3549.929145 | 3501.501259 | 3484.722602 | |
78 | 0 | 0 | 4428.459483 | 3800.97098 | 3650.094178 | 3602.533211 | 3586.054912 | |
79 | 0 | 0 | 4482.814025 | 3852.99265 | 3677.204176 | 3632.086296 | 3616.454446 | |
80 | 0 | 0 | 4563.104066 | 3914.368949 | 3708.520141 | 3657.601369 | 3639.959702 | |
81 | 0 | 0 | 4582.420879 | 3923.701312 | 3736.198181 | 3685.554107 | 3668.007614 | |
82 | 0 | 0 | 4650.458537 | 3962.575985 | 3762.719785 | 3715.225617 | 3698.770462 | |
83 | 0 | 0 | 4713.386878 | 3985.534375 | 3795.789059 | 3752.299009 | 3737.231148 | |
84 | 0 | 0 | 4815.159313 | 4051.722664 | 3879.232352 | 3835.308381 | 3820.090181 | |
85 | 0 | 0 | 4849.711952 | 4133.249499 | 3932.513826 | 3879.087843 | 3860.577511 | |
86 | 0 | 0 | 4923.526004 | 4151.771602 | 3935.997266 | 3880.100404 | 3860.733994 | |
87 | 0 | 0 | 5011.113894 | 4213.111789 | 3986.541594 | 3929.400087 | 3909.602449 | |
88 | 0 | 0 | 5067.807093 | 4260.277869 | 4052.474701 | 3982.936938 | 3958.844408 | |
89 | 0 | 0 | 5130.187416 | 4338.733729 | 4096.742453 | 4043.400642 | 4024.919473 | |
90 | 0 | 0 | 5157.839092 | 4374.247165 | 4129.465861 | 4072.701728 | 4053.034838 | |
91 | 0 | 0 | 5273.469284 | 4387.530016 | 4155.347578 | 4099.419512 | 4080.042291 | |
92 | 0 | 0 | 5335.380614 | 4423.596099 | 4191.477427 | 4130.151941 | 4108.904692 | |
93 | 0 | 0 | 5370.176889 | 4499.034888 | 4272.772996 | 4211.900173 | 4190.809758 | |
94 | 0 | 0 | 5507.400264 | 4543.680188 | 4312.022353 | 4250.879371 | 4229.695355 | |
95 | 0 | 0 | 5509.993925 | 4608.294367 | 4346.320954 | 4281.55001 | 4259.109025 | |
96 | 0 | 0 | 5554.673502 | 4650.869506 | 4380.847166 | 4312.122406 | 4288.311555 | |
97 | 0 | 0 | 5578.32717 | 4688.745222 | 4427.170775 | 4344.422852 | 4315.75344 | |
98 | 0 | 0 | 5662.339687 | 4766.606885 | 4464.740454 | 4406.996841 | 4386.990593 | |
99 | 0 | 0 | 5734.575872 | 4782.53349 | 4543.15991 | 4475.200126 | 4451.654314 | |
100 | 0 | 0 | 5794.62538 | 4864.143307 | 4584.446785 | 4509.632612 | 4483.711981 | |
101 | 0 | 0 | 5876.277647 | 4869.971392 | 4603.960546 | 4530.409958 | 4504.927117 | |
102 | 0 | 0 | 5947.614806 | 4918.987113 | 4641.267848 | 4570.891273 | 4546.508122 | |
103 | 0 | 0 | 6011.002367 | 4947.505754 | 4650.795933 | 4585.784812 | 4563.260614 | |
104 | 0 | 0 | 6098.913599 | 5032.029092 | 4759.60765 | 4680.950788 | 4653.698792 | |
105 | 0 | 0 | 6147.493971 | 5087.032923 | 4784.760268 | 4704.65182 | 4676.896898 | |
106 | 0 | 0 | 6187.299952 | 5117.484893 | 4804.644528 | 4724.257144 | 4696.405581 | |
107 | 0 | 0 | 6216.991387 | 5174.743592 | 4832.567601 | 4752.023269 | 4724.117327 | |
108 | 0 | 0 | 6278.835661 | 5200.390571 | 4904.89098 | 4835.291298 | 4811.177315 | |
109 | 0 | 0 | 6417.451449 | 5262.313806 | 4950.575076 | 4866.315711 | 4837.122634 | |
110 | 0 | 0 | 6510.201929 | 5318.825885 | 5004.306277 | 4914.66718 | 4883.610204 | |
111 | 0 | 0 | 6515.56215 | 5371.836678 | 5015.052487 | 4929.276471 | 4899.557924 | |
112 | 0 | 0 | 6590.587106 | 5411.318196 | 5073.564505 | 4983.726593 | 4952.600735 | |
113 | 0 | 0 | 6686.430545 | 5462.839253 | 5096.43272 | 5012.53485 | 4983.467019 | |
114 | 0 | 0 | 6696.673262 | 5527.325044 | 5190.406307 | 5088.141586 | 5052.71025 | |
115 | 0 | 0 | 6811.814495 | 5582.128204 | 5217.956378 | 5123.401526 | 5090.641404 | |
116 | 0 | 0 | 6847.829167 | 5620.680266 | 5250.195483 | 5151.920452 | 5117.871411 | |
117 | 0 | 0 | 0 | 5654.776315 | 5301.305893 | 5224.518606 | 5197.914356 | |
118 | 0 | 0 | 0 | 5706.922083 | 5350.657465 | 5239.293402 | 5200.709445 | |
119 | 0 | 0 | 0 | 5752.445355 | 5359.575394 | 5274.075177 | 5244.452186 | |
120 | 0 | 0 | 0 | 5771.289967 | 5434.917792 | 5337.044096 | 5303.134104 | |
121 | 0 | 0 | 0 | 5840.243299 | 5458.20198 | 5347.918313 | 5309.708677 | |
122 | 0 | 0 | 0 | 5915.004659 | 5522.433118 | 5414.012409 | 5376.448227 | |
123 | 0 | 0 | 0 | 5950.740825 | 5550.162615 | 5454.480453 | 5421.329755 | |
124 | 0 | 0 | 0 | 5984.881503 | 5583.282311 | 5486.826456 | 5453.407699 | |
125 | 0 | 0 | 0 | 6063.737092 | 5651.136059 | 5532.651287 | 5491.600241 | |
126 | 0 | 0 | 0 | 6116.192811 | 5665.909274 | 5566.02003 | 5531.411718 | |
127 | 0 | 0 | 0 | 6187.566793 | 5742.714407 | 5621.656501 | 5579.713949 | |
128 | 0 | 0 | 0 | 6191.322576 | 5776.905181 | 5664.066355 | 5624.971442 | |
129 | 0 | 0 | 0 | 6229.362827 | 5795.571113 | 5683.009568 | 5644.010724 | |
130 | 0 | 0 | 0 | 6281.639462 | 5867.248152 | 5763.557534 | 5727.632171 | |
131 | 0 | 0 | 0 | 6336.467794 | 5905.139799 | 5776.687381 | 5732.182876 | |
132 | 0 | 0 | 0 | 6407.475433 | 5923.021677 | 5805.268322 | 5764.470688 | |
133 | 0 | 0 | 0 | 6425.942244 | 5984.754344 | 5865.53784 | 5824.233273 | |
134 | 0 | 0 | 0 | 6532.635933 | 6014.867388 | 5891.977127 | 5849.399725 | |
135 | 0 | 0 | 0 | 6549.392956 | 6055.101316 | 5925.900726 | 5881.137004 | |
136 | 0 | 0 | 0 | 6605.463367 | 6117.328692 | 5987.934343 | 5943.103489 | |
137 | 0 | 0 | 0 | 6618.950027 | 6161.842188 | 6043.257372 | 6002.171664 | |
138 | 0 | 0 | 0 | 6703.911991 | 6201.776562 | 6066.132721 | 6019.136626 | |
139 | 0 | 0 | 0 | 6779.942163 | 6249.660033 | 6109.948323 | 6061.542847 | |
140 | 0 | 0 | 0 | 6811.729585 | 6296.528314 | 6160.350507 | 6113.16941 | |
141 | 0 | 0 | 0 | 6844.003875 | 6350.848714 | 6198.050407 | 6145.110858 | |
142 | 0 | 0 | 0 | 0 | 6413.31921 | 6279.276701 | 6232.835414 | |
143 | 0 | 0 | 0 | 0 | 6425.781057 | 6308.982529 | 6268.51571 | |
144 | 0 | 0 | 0 | 0 | 6446.038467 | 6312.625988 | 6266.402987 | |
145 | 0 | 0 | 0 | 0 | 6483.719995 | 6334.49257 | 6282.790214 | |
146 | 0 | 0 | 0 | 0 | 6536.15116 | 6381.350003 | 6327.716533 | |
147 | 0 | 0 | 0 | 0 | 6587.581019 | 6456.148966 | 6410.612115 | |
148 | 0 | 0 | 0 | 0 | 6610.411099 | 6478.979845 | 6433.443271 | |
149 | 0 | 0 | 0 | 0 | 6688.240467 | 6521.97248 | 6464.366133 | |
150 | 0 | 0 | 0 | 0 | 6739.462532 | 6591.188448 | 6539.816393 | |
151 | 0 | 0 | 0 | 0 | 6783.145189 | 6621.588009 | 6565.613801 | |
152 | 0 | 0 | 0 | 0 | 6818.629883 | 6640.692885 | 6579.043613 | |
153 | 0 | 0 | 0 | 0 | 6833.566414 | 6699.611707 | 6653.200841 |
Hyperbolic Triangle 3 | ||||||||
---|---|---|---|---|---|---|---|---|
u = 2 | v = 2 | s = sqrt(21) | ||||||
Refinement | ||||||||
# | Initial | 1 | 2 | 3 | 4 | 5 | Predicted | |
1 | 55.71135881 | 54.11132512 | 53.69907727 | 53.59473803 | 53.56854055 | 53.56198213 | 53.5598725 | |
2 | 117.4263225 | 108.8342198 | 106.6453839 | 106.0950231 | 105.9571538 | 105.9226636 | 105.9115692 | |
3 | 150.8710863 | 141.4237559 | 138.9917064 | 138.374504 | 138.2193516 | 138.1804936 | 138.1679942 | |
4 | 198.5701575 | 176.3210382 | 170.4970434 | 169.0249596 | 168.6556428 | 168.5632119 | 168.5334799 | |
5 | 277.3845066 | 241.833391 | 232.7554778 | 230.4658845 | 229.8912902 | 229.7474571 | 229.7011906 | |
6 | 292.8354984 | 255.7348 | 244.3130737 | 241.3609159 | 240.6177061 | 240.4315638 | 240.3716879 | |
7 | 310.9029166 | 271.2549286 | 262.0284892 | 259.7586968 | 259.1918459 | 259.0501033 | 259.0045092 | |
8 | 439.5900836 | 356.9985703 | 333.4398508 | 327.315212 | 325.7720957 | 325.3855192 | 325.2611701 | |
9 | 455.1851417 | 361.4121067 | 337.6404307 | 331.9439296 | 330.5317384 | 330.1793138 | 330.0659502 | |
10 | 505.1419693 | 419.9709698 | 396.4987363 | 390.5417993 | 389.0429321 | 388.6674192 | 388.5466288 | |
11 | 521.505947 | 436.2271999 | 413.9365465 | 408.2663957 | 406.8385113 | 406.4807464 | 406.365665 | |
12 | 540.4956757 | 478.0449143 | 438.3752748 | 428.1946104 | 425.6374606 | 424.9972312 | 424.7912901 | |
13 | 616.246651 | 495.5647846 | 456.982751 | 447.3268156 | 444.9148752 | 444.3119817 | 444.1180503 | |
14 | 769.0873854 | 581.9382416 | 531.4820187 | 518.4365083 | 515.1267032 | 514.2954851 | 514.0281092 | |
15 | 801.3317149 | 622.4517034 | 560.8099101 | 544.925318 | 540.967155 | 539.9788795 | 539.6609833 | |
16 | 845.3470867 | 634.48163 | 574.434117 | 558.3022887 | 554.2395961 | 553.222759 | 552.8956754 | |
17 | 863.9712361 | 654.7164967 | 607.2087885 | 594.9786608 | 591.8491323 | 591.0614311 | 590.8080531 | |
18 | 999.073056 | 682.2258895 | 617.7093057 | 603.5315945 | 600.1273137 | 599.2847047 | 599.0136646 | |
19 | 1162.025341 | 767.1893091 | 675.2511289 | 650.6923155 | 644.4620757 | 642.8991063 | 642.3963497 | |
20 | 1199.768766 | 810.0199617 | 713.2088587 | 688.9870027 | 682.9045244 | 681.3807484 | 680.8905991 | |
21 | 1264.710011 | 830.5912178 | 725.2539522 | 699.4165534 | 693.0777896 | 691.5021728 | 690.9953478 | |
22 | 1438.668395 | 879.8452789 | 784.2486602 | 759.9656321 | 753.8563392 | 752.3258396 | 751.8335274 | |
23 | 1470.11897 | 922.5191495 | 821.9140131 | 785.9059294 | 776.4355899 | 774.0517859 | 773.2849934 | |
24 | 1519.016643 | 954.5952996 | 838.4405291 | 811.0963021 | 804.4818652 | 802.8277612 | 802.2956894 | |
25 | 1548.755385 | 985.1008841 | 852.2831343 | 827.9548187 | 821.997046 | 820.507689 | 820.0286111 | |
26 | 1645.872127 | 1034.797971 | 888.0025466 | 849.0846821 | 839.476869 | 837.0883517 | 836.3200431 | |
27 | 1837.630782 | 1044.022072 | 900.9820593 | 867.6426004 | 859.4017102 | 857.3480449 | 856.6874473 | |
28 | 2040.069703 | 1146.907945 | 987.6066268 | 935.956745 | 921.7521621 | 918.1817775 | 917.0333005 | |
29 | 2159.307641 | 1169.031333 | 995.2208583 | 948.8618706 | 938.3160564 | 935.6844593 | 934.8379597 | |
30 | 2448.445855 | 1200.557679 | 1031.643056 | 991.4315584 | 980.9381836 | 978.2824378 | 977.4281703 | |
31 | 2632.906104 | 1267.480854 | 1073.656788 | 1018.46705 | 1004.742616 | 1001.319002 | 1000.217737 | |
32 | 2986.601859 | 1281.40404 | 1091.294269 | 1044.791361 | 1033.308248 | 1030.447709 | 1029.527566 | |
33 | 3314.574508 | 1288.235874 | 1124.938745 | 1083.600711 | 1072.829101 | 1069.93347 | 1069.002039 | |
34 | 3419.191424 | 1340.388491 | 1146.074209 | 1098.244464 | 1079.613517 | 1074.984719 | 1073.495785 | |
35 | 0 | 1444.660202 | 1178.827491 | 1105.15747 | 1093.843433 | 1091.18289 | 1090.327079 | |
36 | 0 | 1452.679735 | 1210.963499 | 1148.411902 | 1132.591053 | 1128.622734 | 1127.346255 | |
37 | 0 | 1505.271898 | 1258.344655 | 1189.1734 | 1171.476137 | 1167.019625 | 1165.586109 | |
38 | 0 | 1557.995602 | 1286.8481 | 1211.870337 | 1193.376054 | 1188.773667 | 1187.293229 | |
39 | 0 | 1573.921722 | 1339.16309 | 1269.0202 | 1246.25647 | 1239.923431 | 1237.886297 | |
40 | 0 | 1622.97272 | 1362.242166 | 1278.200292 | 1256.000122 | 1251.034749 | 1249.437549 | |
41 | 0 | 1698.225548 | 1385.477047 | 1299.853747 | 1283.524902 | 1279.398053 | 1278.07058 | |
42 | 0 | 1716.432776 | 1421.65459 | 1340.173365 | 1319.620873 | 1314.491096 | 1312.841012 | |
43 | 0 | 1750.270513 | 1470.335343 | 1390.407815 | 1366.546705 | 1360.320594 | 1358.317856 | |
44 | 0 | 1769.35934 | 1471.179651 | 1394.635711 | 1374.313956 | 1369.216749 | 1367.577142 | |
45 | 0 | 1840.315807 | 1497.463022 | 1406.433388 | 1387.199742 | 1382.505032 | 1380.994897 | |
46 | 0 | 1851.199739 | 1532.448997 | 1443.129529 | 1421.907872 | 1416.351414 | 1414.564081 | |
47 | 0 | 1952.827243 | 1611.421608 | 1469.130332 | 1433.950866 | 1425.615126 | 1422.933789 | |
48 | 0 | 1994.303139 | 1620.754602 | 1508.656742 | 1480.533038 | 1473.444993 | 1471.164999 | |
49 | 0 | 2007.478317 | 1648.940892 | 1537.990056 | 1509.485569 | 1502.337043 | 1500.037594 | |
50 | 0 | 2046.930949 | 1694.649809 | 1583.761996 | 1554.277101 | 1546.67524 | 1544.229967 | |
51 | 0 | 2122.971675 | 1719.764218 | 1616.167697 | 1579.352911 | 1570.029846 | 1567.030917 | |
52 | 0 | 2188.671916 | 1755.576117 | 1626.467049 | 1602.837973 | 1596.845248 | 1594.917583 | |
53 | 0 | 2205.708904 | 1793.622627 | 1671.730609 | 1631.040711 | 1620.276124 | 1616.813505 | |
54 | 0 | 2231.834736 | 1838.69284 | 1680.238931 | 1647.375411 | 1640.110123 | 1637.773116 | |
55 | 0 | 2300.687496 | 1864.055306 | 1726.20213 | 1692.849721 | 1683.894057 | 1681.01331 | |
56 | 0 | 2337.469994 | 1869.146162 | 1746.684108 | 1710.768709 | 1701.922671 | 1699.077187 | |
57 | 0 | 2453.592418 | 1912.269728 | 1765.356833 | 1735.926219 | 1728.769564 | 1726.467501 | |
58 | 0 | 2462.271124 | 1940.950546 | 1795.58417 | 1760.000615 | 1750.844746 | 1747.8996 | |
59 | 0 | 2525.465701 | 1998.900594 | 1837.776536 | 1792.60216 | 1780.669159 | 1776.830699 | |
60 | 0 | 2562.509186 | 2054.570879 | 1859.898208 | 1812.368628 | 1801.161578 | 1797.556633 | |
61 | 0 | 2587.833526 | 2064.107669 | 1906.660173 | 1854.643122 | 1842.127454 | 1838.101568 | |
62 | 0 | 2620.996764 | 2105.243482 | 1916.278198 | 1876.5071 | 1866.330284 | 1863.056732 | |
63 | 0 | 2668.635243 | 2134.786903 | 1960.856618 | 1921.167027 | 1910.57712 | 1907.17069 | |
64 | 0 | 2729.444186 | 2153.947584 | 1985.805872 | 1931.245979 | 1918.021846 | 1913.76807 | |
65 | 0 | 2799.987364 | 2202.423246 | 2003.078277 | 1966.486358 | 1956.941224 | 1953.870864 | |
66 | 0 | 2833.393824 | 2236.071157 | 2040.517854 | 1989.089853 | 1975.714724 | 1971.412379 | |
67 | 0 | 2885.116587 | 2277.419417 | 2087.618724 | 2028.73099 | 2013.197939 | 2008.20146 | |
68 | 0 | 2896.485552 | 2309.996878 | 2105.37105 | 2046.43449 | 2032.869871 | 2028.506573 | |
69 | 0 | 2967.308293 | 2329.630042 | 2146.155951 | 2091.206058 | 2077.391234 | 2072.947453 | |
70 | 0 | 3029.46871 | 2373.762792 | 2150.637276 | 2107.765229 | 2096.952408 | 2093.474273 | |
71 | 0 | 3069.977724 | 2420.437011 | 2177.664131 | 2130.433735 | 2118.936097 | 2115.237679 | |
72 | 0 | 3145.911932 | 2440.379644 | 2212.06067 | 2151.631177 | 2135.981343 | 2130.947298 | |
73 | 0 | 3163.459763 | 2483.384376 | 2240.705973 | 2173.574575 | 2157.56837 | 2152.419692 | |
74 | 0 | 3274.922454 | 2515.514019 | 2263.855538 | 2205.737698 | 2190.340389 | 2185.387573 | |
75 | 0 | 3298.599825 | 2535.315652 | 2314.844597 | 2243.185577 | 2223.447908 | 2217.098939 | |
76 | 0 | 3413.343233 | 2585.529855 | 2352.144172 | 2282.885587 | 2266.045218 | 2260.628216 | |
77 | 0 | 3498.078677 | 2611.721849 | 2364.561641 | 2297.814926 | 2281.767981 | 2276.606198 | |
78 | 0 | 3553.396285 | 2657.049889 | 2401.466533 | 2332.771092 | 2316.218572 | 2310.894163 | |
79 | 0 | 3627.229749 | 2714.554728 | 2406.527563 | 2354.950753 | 2342.128944 | 2338.004583 | |
80 | 0 | 3643.082219 | 2751.546192 | 2466.342574 | 2399.179551 | 2380.303362 | 2374.231503 | |
81 | 0 | 3682.735479 | 2784.798568 | 2493.569669 | 2412.602628 | 2393.743258 | 2387.676809 | |
82 | 0 | 3754.713024 | 2803.533305 | 2511.193393 | 2426.719476 | 2406.294794 | 2399.724835 | |
83 | 0 | 3793.872427 | 2834.018937 | 2546.773258 | 2470.48181 | 2448.235211 | 2441.079201 | |
84 | 0 | 3923.123721 | 2862.374102 | 2576.867601 | 2493.908525 | 2472.389035 | 2465.466912 | |
85 | 0 | 3949.163591 | 2873.886193 | 2599.644796 | 2533.478331 | 2514.406702 | 2508.271977 | |
86 | 0 | 3975.045813 | 2944.507575 | 2626.882249 | 2540.47897 | 2523.627239 | 2518.206583 | |
87 | 0 | 4014.451357 | 2996.202661 | 2667.87542 | 2585.490257 | 2565.282779 | 2558.782688 | |
88 | 0 | 4122.972041 | 3016.330856 | 2681.601175 | 2603.222473 | 2584.553384 | 2578.548142 | |
89 | 0 | 4275.542604 | 3073.573339 | 2712.964359 | 2633.216947 | 2612.775105 | 2606.199626 | |
90 | 0 | 4336.241987 | 3097.913949 | 2779.240291 | 2676.887274 | 2648.907901 | 2639.907843 | |
91 | 0 | 4371.593057 | 3106.712113 | 2792.888262 | 2695.221633 | 2669.289126 | 2660.947478 | |
92 | 0 | 4416.02607 | 3165.232776 | 2799.585251 | 2706.132421 | 2684.532314 | 2677.584259 | |
93 | 0 | 4538.370871 | 3210.901747 | 2818.217045 | 2738.437988 | 2715.779488 | 2708.490982 | |
94 | 0 | 0 | 3238.967203 | 2861.671092 | 2763.336259 | 2735.31606 | 2726.302869 | |
95 | 0 | 0 | 3285.098123 | 2897.590052 | 2794.55705 | 2774.477979 | 2768.019192 | |
96 | 0 | 0 | 3355.600957 | 2924.469116 | 2820.86895 | 2796.648727 | 2788.857866 | |
97 | 0 | 0 | 3363.127958 | 2976.730986 | 2872.061407 | 2845.689624 | 2837.206675 | |
98 | 0 | 0 | 3374.048409 | 2991.410747 | 2891.573518 | 2866.733745 | 2858.743595 | |
99 | 0 | 0 | 3440.43103 | 3041.323443 | 2939.019323 | 2912.112296 | 2903.457176 | |
100 | 0 | 0 | 3463.971637 | 3070.342624 | 2958.103314 | 2923.379212 | 2912.209593 | |
101 | 0 | 0 | 3473.762739 | 3086.03513 | 2977.150209 | 2944.612152 | 2934.145713 | |
102 | 0 | 0 | 3531.193467 | 3103.586329 | 2985.921403 | 2963.209919 | 2955.90437 | |
103 | 0 | 0 | 3596.626995 | 3118.848599 | 3012.52716 | 2986.664836 | 2978.345763 | |
104 | 0 | 0 | 3609.410446 | 3142.170247 | 3037.083412 | 3009.091909 | 3000.087949 | |
105 | 0 | 0 | 3627.24034 | 3206.100238 | 3059.348069 | 3027.197059 | 3016.855121 | |
106 | 0 | 0 | 3667.10884 | 3223.007057 | 3114.140388 | 3088.27939 | 3079.960745 | |
107 | 0 | 0 | 3717.381339 | 3258.954774 | 3136.747303 | 3105.999436 | 3096.108843 | |
108 | 0 | 0 | 3771.368528 | 3290.363528 | 3172.177423 | 3141.115917 | 3131.124437 | |
109 | 0 | 0 | 3803.888647 | 3310.906097 | 3201.670023 | 3173.163618 | 3163.99403 | |
110 | 0 | 0 | 3867.602783 | 3356.960981 | 3244.45357 | 3204.201147 | 3191.253246 | |
111 | 0 | 0 | 3905.525078 | 3412.118877 | 3246.467799 | 3214.435873 | 3204.13224 | |
112 | 0 | 0 | 3938.861184 | 3437.006635 | 3261.273924 | 3225.098315 | 3213.461793 | |
113 | 0 | 0 | 3977.132975 | 3438.625392 | 3283.904245 | 3249.211802 | 3238.052367 | |
114 | 0 | 0 | 4009.183692 | 3514.997897 | 3307.220001 | 3277.690985 | 3268.192457 | |
115 | 0 | 0 | 4029.25442 | 3552.627488 | 3344.823334 | 3301.058679 | 3286.981007 | |
116 | 0 | 0 | 4056.202862 | 3556.961525 | 3396.029724 | 3358.350388 | 3346.230167 | |
117 | 0 | 0 | 4067.708614 | 3585.489297 | 3429.474334 | 3396.513564 | 3385.911152 | |
118 | 0 | 0 | 4114.673732 | 3623.042629 | 3445.715864 | 3409.942579 | 3398.435471 | |
119 | 0 | 0 | 4210.625599 | 3653.728604 | 3502.178818 | 3465.298137 | 3453.434815 | |
120 | 0 | 0 | 4227.708076 | 3671.035139 | 3514.225436 | 3475.916095 | 3463.593221 | |
121 | 0 | 0 | 4284.239045 | 3729.679263 | 3523.435874 | 3491.348484 | 3481.02701 | |
122 | 0 | 0 | 4296.728829 | 3749.374718 | 3555.013814 | 3504.210888 | 3487.869232 | |
123 | 0 | 0 | 4356.515422 | 3766.978598 | 3577.974576 | 3536.348858 | 3522.959212 | |
124 | 0 | 0 | 4391.336249 | 3779.870582 | 3597.07216 | 3557.650858 | 3544.970302 | |
125 | 0 | 0 | 4445.304248 | 3823.347948 | 3614.976261 | 3576.648848 | 3564.32016 | |
126 | 0 | 0 | 4471.650215 | 3858.191128 | 3661.886203 | 3614.095696 | 3598.723038 | |
127 | 0 | 0 | 4504.660537 | 3885.983758 | 3673.878285 | 3634.898586 | 3622.360079 | |
128 | 0 | 0 | 0 | 3892.537989 | 3726.891363 | 3684.257 | 3670.542906 | |
129 | 0 | 0 | 0 | 3945.155559 | 3733.815075 | 3698.598231 | 3687.270113 | |
130 | 0 | 0 | 0 | 4000.261711 | 3775.56126 | 3734.987874 | 3721.936729 | |
131 | 0 | 0 | 0 | 4018.950558 | 3799.695776 | 3749.906838 | 3733.89135 | |
132 | 0 | 0 | 0 | 4057.04588 | 3853.660423 | 3790.019574 | 3769.548373 | |
133 | 0 | 0 | 0 | 4094.271191 | 3860.4667 | 3817.478163 | 3803.650143 | |
134 | 0 | 0 | 0 | 4119.737609 | 3881.689871 | 3832.331919 | 3816.455063 | |
135 | 0 | 0 | 0 | 4151.416884 | 3918.686364 | 3870.981578 | 3855.636493 | |
136 | 0 | 0 | 0 | 4163.256684 | 3933.396937 | 3880.990281 | 3864.132756 | |
137 | 0 | 0 | 0 | 4186.276249 | 3982.804472 | 3925.331063 | 3906.843728 | |
138 | 0 | 0 | 0 | 4206.772986 | 4003.909819 | 3961.610464 | 3948.004132 | |
139 | 0 | 0 | 0 | 4259.439665 | 4020.614426 | 3973.980997 | 3958.980533 | |
140 | 0 | 0 | 0 | 4266.013732 | 4056.024059 | 4013.805427 | 4000.22506 | |
141 | 0 | 0 | 0 | 4324.79273 | 4085.336281 | 4037.238567 | 4021.767089 | |
142 | 0 | 0 | 0 | 4354.472606 | 4115.556917 | 4065.790044 | 4049.781652 | |
143 | 0 | 0 | 0 | 4382.999564 | 4140.121097 | 4075.714744 | 4054.997306 | |
144 | 0 | 0 | 0 | 4388.200218 | 4170.028907 | 4114.581199 | 4096.745466 | |
145 | 0 | 0 | 0 | 4434.647003 | 4195.090765 | 4126.045673 | 4103.836103 | |
146 | 0 | 0 | 0 | 4487.168139 | 4203.326807 | 4156.673123 | 4141.666144 | |
147 | 0 | 0 | 0 | 4509.374146 | 4233.249079 | 4186.158529 | 4171.011024 | |
148 | 0 | 0 | 0 | 4526.275977 | 4278.824089 | 4214.577004 | 4193.910797 | |
149 | 0 | 0 | 0 | 0 | 4301.801463 | 4241.240263 | 4221.759687 | |
150 | 0 | 0 | 0 | 0 | 4323.017727 | 4269.684129 | 4252.528438 | |
151 | 0 | 0 | 0 | 0 | 4334.245435 | 4274.869579 | 4255.770289 | |
152 | 0 | 0 | 0 | 0 | 4369.548059 | 4315.45459 | 4298.054473 | |
153 | 0 | 0 | 0 | 0 | 4408.174484 | 4345.975391 | 4325.967957 | |
154 | 0 | 0 | 0 | 0 | 4473.556037 | 4399.107334 | 4375.159597 | |
155 | 0 | 0 | 0 | 0 | 4481.248735 | 4408.65594 | 4385.305189 | |
156 | 0 | 0 | 0 | 0 | 4502.074618 | 4432.123773 | 4409.622852 |
Hyperbolic Triangle 4 | ||||||||
---|---|---|---|---|---|---|---|---|
u = 2 | v = 3 | s = sqrt(5)+4.9 | ||||||
Refinement | ||||||||
# | Initial | 1 | 2 | 3 | 4 | 5 | Predicted | |
1 | 25.19613802 | 24.51130907 | 24.33580168 | 24.29148489 | 24.28036885 | 24.27758701 | 24.27663364 | |
2 | 52.09799763 | 48.65407372 | 47.76872123 | 47.54492784 | 47.48876799 | 47.47471158 | 47.46989434 | |
3 | 64.42270104 | 60.10285408 | 58.96540639 | 58.67457157 | 58.60133328 | 58.58298474 | 58.57669654 | |
4 | 89.80674145 | 80.03420923 | 77.48691805 | 76.84092324 | 76.67867188 | 76.63805318 | 76.62413283 | |
5 | 107.2008287 | 93.84062229 | 90.20754798 | 89.2732153 | 89.03760173 | 88.97855352 | 88.95831723 | |
6 | 131.6504187 | 117.0695426 | 112.6905014 | 111.3459379 | 110.9873898 | 110.8963501 | 110.8651501 | |
7 | 145.7165672 | 121.5366642 | 115.4051605 | 114.049831 | 113.7278304 | 113.648345 | 113.6211048 | |
8 | 161.7167005 | 135.0034115 | 127.8373978 | 126.0245542 | 125.5694225 | 125.4554823 | 125.4164341 | |
9 | 203.5030056 | 162.4348209 | 149.3532268 | 145.9955089 | 145.1511922 | 144.9397757 | 144.8673216 | |
10 | 215.6757932 | 172.1366321 | 161.9206173 | 159.2737868 | 158.6017245 | 158.4329325 | 158.3750862 | |
11 | 232.451564 | 192.2348032 | 179.2692082 | 175.717508 | 174.8115347 | 174.5838525 | 174.5058241 | |
12 | 244.232048 | 196.6036351 | 184.2109229 | 180.8321411 | 179.9488427 | 179.7253282 | 179.648728 | |
13 | 282.1494497 | 212.9722031 | 193.5643433 | 189.1899578 | 188.1421212 | 187.8830512 | 187.7942658 | |
14 | 318.4415043 | 228.0475633 | 208.3511901 | 203.252353 | 201.9625869 | 201.6390933 | 201.5282295 | |
15 | 334.7305068 | 257.87178 | 233.7506346 | 227.5381122 | 225.9800192 | 225.5900655 | 225.4564253 | |
16 | 357.6753229 | 265.7258806 | 239.3960024 | 232.4654076 | 230.6903608 | 230.2432303 | 230.0899952 | |
17 | 369.7406623 | 277.2962524 | 248.3059549 | 240.7386165 | 238.8342377 | 238.3574896 | 238.1941042 | |
18 | 392.8667053 | 292.3047824 | 268.6128209 | 262.1671473 | 260.5163261 | 260.1009705 | 259.9586249 | |
19 | 423.5642624 | 301.2935078 | 276.0641766 | 269.6956375 | 268.0376709 | 267.6156429 | 267.4710106 | |
20 | 466.4996196 | 321.6760523 | 287.1643987 | 278.2944522 | 276.0361261 | 275.4695908 | 275.2754346 | |
21 | 514.9040034 | 341.5770654 | 297.3936652 | 286.5865109 | 283.9698063 | 283.3222991 | 283.1003933 | |
22 | 522.8670764 | 352.5421091 | 310.8081288 | 299.935709 | 297.1607826 | 296.4621048 | 296.2226624 | |
23 | 550.3713143 | 380.0273092 | 337.6465315 | 324.3224407 | 320.7761523 | 319.8802383 | 319.5732014 | |
24 | 592.3299821 | 390.640482 | 341.0454458 | 329.0952182 | 326.1667184 | 325.4327137 | 325.1811645 | |
25 | 662.3571781 | 404.4369396 | 352.7410731 | 339.5258268 | 336.2012472 | 335.3683978 | 335.0829737 | |
26 | 688.112951 | 421.3895669 | 370.0402577 | 357.5304277 | 354.3294425 | 353.5177362 | 353.239558 | |
27 | 736.0884666 | 421.6573628 | 376.41569 | 361.9065181 | 357.8667967 | 356.8329444 | 356.478635 | |
28 | 776.0761933 | 449.1698551 | 391.5559602 | 376.2715969 | 372.3477628 | 371.3619945 | 371.0241639 | |
29 | 830.8934127 | 473.2213409 | 399.3961523 | 382.8114309 | 379.0592157 | 378.1423201 | 377.8280927 | |
30 | 859.3779017 | 482.2271132 | 418.4076983 | 398.5574688 | 393.4753471 | 392.1981506 | 391.7604453 | |
31 | 942.8445534 | 499.1739354 | 425.6486653 | 409.2855599 | 405.0447992 | 403.9652917 | 403.5953359 | |
32 | 1024.392951 | 521.9598489 | 447.1661358 | 426.9662713 | 420.6912185 | 419.1020594 | 418.557442 | |
33 | 1050.508282 | 536.1722979 | 452.7272707 | 427.4577632 | 422.178944 | 420.8676557 | 420.4182669 | |
34 | 1092.551431 | 556.2816232 | 473.1934206 | 450.9227777 | 445.013016 | 443.5087211 | 442.9931874 | |
35 | 1219.767918 | 570.5494771 | 484.6626135 | 458.6774783 | 451.8942899 | 450.1857963 | 449.600282 | |
36 | 1278.353908 | 573.8226881 | 499.9848196 | 478.575833 | 472.806229 | 471.1606933 | 470.5967552 | |
37 | 1452.292974 | 597.0946557 | 500.7944167 | 479.5460416 | 473.5833332 | 472.1677472 | 471.6826148 | |
38 | 1581.043385 | 605.8731345 | 520.4949456 | 491.5003288 | 484.6086486 | 482.974004 | 482.4137984 | |
39 | 0 | 627.9341267 | 530.9195911 | 506.1948308 | 497.8513347 | 495.733877 | 495.0082075 | |
40 | 0 | 665.1231872 | 538.1289662 | 507.6472438 | 502.1770874 | 500.8114395 | 500.3434212 | |
41 | 0 | 671.3233331 | 560.854504 | 525.3900146 | 516.3858335 | 514.1217173 | 513.3457867 | |
42 | 0 | 683.4088753 | 570.3922159 | 538.5375621 | 530.3015268 | 528.2280118 | 527.5174019 | |
43 | 0 | 703.9307666 | 589.6089793 | 554.2976832 | 543.1322324 | 540.3274166 | 539.3661841 | |
44 | 0 | 710.6621077 | 596.811313 | 558.875343 | 550.7986559 | 548.7508989 | 548.0491164 | |
45 | 0 | 742.9730735 | 613.4481746 | 578.2926586 | 567.8844527 | 565.1479513 | 564.2101306 | |
46 | 0 | 757.9727885 | 627.892493 | 585.5555795 | 576.5347925 | 574.3927389 | 573.6586402 | |
47 | 0 | 770.2450986 | 641.3642815 | 603.2983558 | 591.8476558 | 588.9063448 | 587.8983342 | |
48 | 0 | 782.4372617 | 646.9897393 | 609.5055405 | 599.1359221 | 596.3536444 | 595.4001359 | |
49 | 0 | 803.2970771 | 656.8395461 | 618.2841148 | 608.6793687 | 606.3352607 | 605.5319164 | |
50 | 0 | 827.1566375 | 684.370942 | 636.4279945 | 625.1319576 | 622.3903718 | 621.4508087 | |
51 | 0 | 854.5923035 | 687.4482018 | 644.485887 | 633.9508315 | 631.2024644 | 630.2605772 | |
52 | 0 | 865.0436198 | 698.7448278 | 652.2955586 | 639.5430626 | 636.241705 | 635.1103037 | |
53 | 0 | 888.6221116 | 710.9391477 | 658.7064593 | 646.1557905 | 643.1770733 | 642.1562434 | |
54 | 0 | 902.5236054 | 727.2235717 | 679.1277976 | 665.0831279 | 661.3874735 | 660.1209436 | |
55 | 0 | 907.9077977 | 740.4034493 | 689.3859274 | 674.3678902 | 670.5728773 | 669.2722964 | |
56 | 0 | 938.2241143 | 751.6618342 | 690.4197449 | 678.235526 | 675.3185819 | 674.3189221 | |
57 | 0 | 961.5065981 | 781.5123037 | 724.1504192 | 708.9945521 | 705.0845838 | 703.7446068 | |
58 | 0 | 984.1219963 | 791.8360997 | 732.0845864 | 714.5158778 | 709.9947117 | 708.4452723 | |
59 | 0 | 1004.974423 | 796.5649033 | 738.5738994 | 720.8090137 | 716.238193 | 714.6717366 | |
60 | 0 | 1009.422044 | 807.8300256 | 743.2481118 | 729.098199 | 725.6197971 | 724.4277212 | |
61 | 0 | 1031.902029 | 816.6100524 | 757.5686532 | 742.7045987 | 738.9501539 | 737.663476 | |
62 | 0 | 1054.829349 | 838.4167206 | 775.800293 | 759.6730927 | 755.6035843 | 754.2089316 | |
63 | 0 | 1080.239063 | 850.105309 | 784.3293778 | 764.9718656 | 760.0219354 | 758.3255552 | |
64 | 0 | 1108.247833 | 855.5707615 | 789.7972446 | 775.9019029 | 772.4561412 | 771.2752514 | |
65 | 0 | 1123.553132 | 860.6630795 | 804.2023091 | 788.576079 | 783.6850586 | 782.0088673 | |
66 | 0 | 1149.841219 | 902.5832316 | 817.8650365 | 795.5938358 | 790.4918725 | 788.7433893 | |
67 | 0 | 1157.36826 | 908.8143235 | 823.7070259 | 801.4090313 | 796.2062054 | 794.4231558 | |
68 | 0 | 1164.778749 | 910.5710182 | 827.445145 | 807.6930684 | 802.7652789 | 801.0764866 | |
69 | 0 | 1181.665189 | 933.757327 | 864.0455741 | 844.2937814 | 838.6091639 | 836.6610007 | |
70 | 0 | 1198.897155 | 947.3469913 | 872.9443364 | 849.9464804 | 844.3359313 | 842.4131518 | |
71 | 0 | 1233.158464 | 958.3094989 | 874.9507779 | 853.7567124 | 848.2554092 | 846.3700692 | |
72 | 0 | 1241.581534 | 969.3887187 | 887.0113261 | 864.3467979 | 858.8543709 | 856.9720729 | |
73 | 0 | 1261.169972 | 981.0623473 | 892.5495624 | 870.3754565 | 864.3422404 | 862.2746096 | |
74 | 0 | 1272.488725 | 1005.779204 | 905.2669627 | 881.6411869 | 875.8045364 | 873.8042702 | |
75 | 0 | 1299.140894 | 1020.070881 | 917.9738213 | 891.0281182 | 884.4536729 | 882.2005586 | |
76 | 0 | 1320.019765 | 1024.444914 | 927.1912997 | 903.1993704 | 897.2977775 | 895.275255 | |
77 | 0 | 1327.980569 | 1029.407337 | 954.7996628 | 925.5641618 | 917.3642859 | 914.5541237 | |
78 | 0 | 1358.90277 | 1042.494117 | 958.6469149 | 939.2285878 | 934.2483335 | 932.541561 | |
79 | 0 | 1383.886376 | 1085.313041 | 969.8808251 | 944.2811782 | 938.0902565 | 935.9685787 | |
80 | 0 | 1399.044994 | 1090.580252 | 981.1030649 | 953.1017994 | 946.4904747 | 944.2247215 | |
81 | 0 | 1437.057637 | 1094.953906 | 994.8402077 | 966.7288571 | 959.1714754 | 956.581501 | |
82 | 0 | 1462.323939 | 1104.607304 | 1004.879955 | 976.700498 | 968.7171494 | 965.9811928 | |
83 | 0 | 1475.221017 | 1115.756083 | 1007.82811 | 978.7710049 | 971.5721616 | 969.1050611 | |
84 | 0 | 1500.204484 | 1137.878253 | 1019.648996 | 987.9759553 | 980.5601301 | 978.0186682 | |
85 | 0 | 1522.923862 | 1148.374317 | 1029.618192 | 1004.455557 | 996.6318757 | 993.9506384 | |
86 | 0 | 1546.59348 | 1158.085264 | 1045.141328 | 1006.914886 | 998.7961969 | 996.0138582 | |
87 | 0 | 1573.685881 | 1176.427799 | 1060.911525 | 1028.867553 | 1021.020205 | 1018.330857 | |
88 | 0 | 1591.333007 | 1203.422293 | 1067.100596 | 1041.106291 | 1034.071548 | 1031.660686 | |
89 | 0 | 1615.694756 | 1210.071925 | 1087.345589 | 1052.43589 | 1043.131318 | 1039.942568 | |
90 | 0 | 1625.871124 | 1227.214122 | 1097.96929 | 1062.481421 | 1053.711303 | 1050.705714 | |
91 | 0 | 1649.741506 | 1244.957407 | 1115.653451 | 1076.996463 | 1066.14073 | 1062.420384 | |
92 | 0 | 1704.189515 | 1250.115328 | 1126.114887 | 1085.635083 | 1076.290239 | 1073.087687 | |
93 | 0 | 1708.093108 | 1266.524772 | 1126.953062 | 1095.480854 | 1087.557818 | 1084.84253 | |
94 | 0 | 1724.488518 | 1275.907293 | 1141.165951 | 1107.742738 | 1098.954574 | 1095.942801 | |
95 | 0 | 0 | 1289.261833 | 1155.912713 | 1111.979877 | 1100.994956 | 1097.230337 | |
96 | 0 | 0 | 1307.775227 | 1163.274073 | 1133.654319 | 1125.549898 | 1122.772449 | |
97 | 0 | 0 | 1312.979563 | 1175.517692 | 1138.959919 | 1129.126336 | 1125.75629 | |
98 | 0 | 0 | 1337.055447 | 1184.205771 | 1148.937805 | 1137.835916 | 1134.031211 | |
99 | 0 | 0 | 1349.862624 | 1193.808215 | 1152.029518 | 1144.002817 | 1141.252003 | |
100 | 0 | 0 | 1358.902895 | 1209.859105 | 1167.785618 | 1157.02149 | 1153.332539 | |
101 | 0 | 0 | 1377.097438 | 1218.714798 | 1172.153994 | 1160.567436 | 1156.596632 | |
102 | 0 | 0 | 1381.020998 | 1235.994737 | 1190.581502 | 1179.834166 | 1176.150969 | |
103 | 0 | 0 | 1417.630006 | 1246.534674 | 1209.091591 | 1198.310972 | 1194.616368 | |
104 | 0 | 0 | 1424.8161 | 1261.92041 | 1215.108073 | 1202.044836 | 1197.567962 | |
105 | 0 | 0 | 1442.938204 | 1274.034833 | 1230.076737 | 1218.718826 | 1214.82638 | |
106 | 0 | 0 | 1455.963681 | 1285.414803 | 1239.118046 | 1227.503372 | 1223.522931 | |
107 | 0 | 0 | 1458.84896 | 1293.83245 | 1246.98517 | 1235.49455 | 1231.556624 | |
108 | 0 | 0 | 1484.380814 | 1302.588513 | 1249.772294 | 1237.008461 | 1232.634195 | |
109 | 0 | 0 | 1501.512301 | 1310.024764 | 1263.938358 | 1250.935574 | 1246.479418 | |
110 | 0 | 0 | 1505.443342 | 1326.715871 | 1281.323327 | 1270.835664 | 1267.241459 | |
111 | 0 | 0 | 1515.858895 | 1341.062507 | 1287.27687 | 1273.88166 | 1269.291015 | |
112 | 0 | 0 | 1533.043616 | 1358.725453 | 1305.051857 | 1290.675567 | 1285.748699 | |
113 | 0 | 0 | 1551.909792 | 1362.455349 | 1316.051906 | 1303.191036 | 1298.783514 | |
114 | 0 | 0 | 1565.138379 | 1377.771766 | 1320.622679 | 1305.581654 | 1300.426977 | |
115 | 0 | 0 | 1577.90112 | 1385.072808 | 1332.323798 | 1319.129273 | 1314.607406 | |
116 | 0 | 0 | 1605.904584 | 1400.340529 | 1351.618545 | 1340.309047 | 1336.433193 | |
117 | 0 | 0 | 1615.07231 | 1414.767426 | 1359.098752 | 1343.579619 | 1338.26109 | |
118 | 0 | 0 | 1630.337786 | 1427.289202 | 1368.230881 | 1352.723279 | 1347.408701 | |
119 | 0 | 0 | 1650.957757 | 1434.531002 | 1378.50566 | 1363.516855 | 1358.380074 | |
120 | 0 | 0 | 1660.929594 | 1438.023041 | 1381.041399 | 1366.623593 | 1361.682497 | |
121 | 0 | 0 | 1665.255894 | 1450.653696 | 1397.086681 | 1384.237467 | 1379.83394 | |
122 | 0 | 0 | 1680.378681 | 1471.492933 | 1410.903496 | 1396.15033 | 1391.094304 | |
123 | 0 | 0 | 1684.713653 | 1480.110882 | 1418.265295 | 1403.258912 | 1398.116106 | |
124 | 0 | 0 | 1723.535125 | 1493.786631 | 1427.576403 | 1408.53982 | 1402.015833 | |
125 | 0 | 0 | 1743.495507 | 1497.092753 | 1432.078994 | 1415.867006 | 1410.31103 | |
126 | 0 | 0 | 0 | 1508.602142 | 1455.471835 | 1441.72206 | 1437.009904 | |
127 | 0 | 0 | 0 | 1538.286096 | 1465.202885 | 1446.624952 | 1440.258147 | |
128 | 0 | 0 | 0 | 1545.554164 | 1479.679192 | 1463.25138 | 1457.62144 | |
129 | 0 | 0 | 0 | 1553.801983 | 1490.39041 | 1474.047984 | 1468.447305 | |
130 | 0 | 0 | 0 | 1570.786586 | 1499.459571 | 1480.638718 | 1474.188663 | |
131 | 0 | 0 | 0 | 1576.33679 | 1504.927319 | 1486.302149 | 1479.919156 | |
132 | 0 | 0 | 0 | 1587.935557 | 1520.918686 | 1503.339253 | 1497.314642 | |
133 | 0 | 0 | 0 | 1595.703076 | 1531.437803 | 1513.99892 | 1508.022477 | |
134 | 0 | 0 | 0 | 1612.931797 | 1542.556033 | 1522.635901 | 1515.809115 | |
135 | 0 | 0 | 0 | 1629.26022 | 1548.156739 | 1528.83951 | 1522.219343 | |
136 | 0 | 0 | 0 | 1632.11826 | 1557.093975 | 1539.502239 | 1533.473411 | |
137 | 0 | 0 | 0 | 1640.591358 | 1573.080309 | 1550.815267 | 1543.18486 | |
138 | 0 | 0 | 0 | 1655.374069 | 1586.508027 | 1568.747942 | 1562.66142 | |
139 | 0 | 0 | 0 | 1663.322352 | 1592.359013 | 1579.498932 | 1575.091681 | |
140 | 0 | 0 | 0 | 1683.880564 | 1602.160586 | 1581.15398 | 1573.954851 | |
141 | 0 | 0 | 0 | 1694.928347 | 1622.539419 | 1601.882706 | 1594.803487 | |
142 | 0 | 0 | 0 | 1707.365442 | 1626.192119 | 1605.309358 | 1598.152671 | |
143 | 0 | 0 | 0 | 1717.716496 | 1641.092645 | 1619.137903 | 1611.613839 | |
144 | 0 | 0 | 0 | 1723.589131 | 1645.010861 | 1625.568268 | 1618.905137 | |
145 | 0 | 0 | 0 | 1744.817516 | 1659.629184 | 1635.438791 | 1627.148552 | |
146 | 0 | 0 | 0 | 0 | 1670.259089 | 1647.8978 | 1640.234409 | |
147 | 0 | 0 | 0 | 0 | 1682.964068 | 1662.417789 | 1655.376417 | |
148 | 0 | 0 | 0 | 0 | 1691.739008 | 1669.312111 | 1661.626237 | |
149 | 0 | 0 | 0 | 0 | 1701.780973 | 1679.51501 | 1671.884289 | |
150 | 0 | 0 | 0 | 0 | 1705.070505 | 1680.913085 | 1672.634147 | |
151 | 0 | 0 | 0 | 0 | 1722.565104 | 1699.358217 | 1691.405033 | |
152 | 0 | 0 | 0 | 0 | 1732.128889 | 1714.358775 | 1708.268817 | |
153 | 0 | 0 | 0 | 0 | 1743.264562 | 1718.364926 | 1709.831625 |