Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [36,5,Mod(7,36)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(36, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("36.7");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 36 = 2^{2} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 36.f (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.72131867102\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 7.14 | ||
Character | \(\chi\) | \(=\) | 36.7 |
Dual form | 36.5.f.a.31.14 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).
\(n\) | \(19\) | \(29\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.29332 | − | 3.78514i | 0.323331 | − | 0.946286i | ||||
\(3\) | 8.65442 | − | 2.47004i | 0.961602 | − | 0.274449i | ||||
\(4\) | −12.6546 | − | 9.79083i | −0.790914 | − | 0.611927i | ||||
\(5\) | −10.5756 | − | 18.3175i | −0.423024 | − | 0.732698i | 0.573210 | − | 0.819409i | \(-0.305698\pi\) |
−0.996234 | + | 0.0867102i | \(0.972365\pi\) | |||||||
\(6\) | 1.84350 | − | 35.9528i | 0.0512083 | − | 0.998688i | ||||
\(7\) | 38.6407 | + | 22.3092i | 0.788586 | + | 0.455290i | 0.839464 | − | 0.543415i | \(-0.182869\pi\) |
−0.0508787 | + | 0.998705i | \(0.516202\pi\) | |||||||
\(8\) | −53.4262 | + | 35.2369i | −0.834785 | + | 0.550576i | ||||
\(9\) | 68.7978 | − | 42.7535i | 0.849356 | − | 0.527821i | ||||
\(10\) | −83.0119 | + | 16.3397i | −0.830119 | + | 0.163397i | ||||
\(11\) | −58.6904 | − | 33.8849i | −0.485045 | − | 0.280041i | 0.237472 | − | 0.971394i | \(-0.423681\pi\) |
−0.722516 | + | 0.691354i | \(0.757015\pi\) | |||||||
\(12\) | −133.702 | − | 53.4765i | −0.928487 | − | 0.371364i | ||||
\(13\) | 14.5519 | + | 25.2046i | 0.0861058 | + | 0.149140i | 0.905862 | − | 0.423573i | \(-0.139224\pi\) |
−0.819756 | + | 0.572713i | \(0.805891\pi\) | |||||||
\(14\) | 134.419 | − | 117.408i | 0.685809 | − | 0.599018i | ||||
\(15\) | −136.770 | − | 132.405i | −0.607868 | − | 0.588466i | ||||
\(16\) | 64.2793 | + | 247.799i | 0.251091 | + | 0.967963i | ||||
\(17\) | 402.841 | 1.39391 | 0.696957 | − | 0.717113i | \(-0.254537\pi\) | ||||
0.696957 | + | 0.717113i | \(0.254537\pi\) | |||||||
\(18\) | −72.8504 | − | 315.704i | −0.224847 | − | 0.974394i | ||||
\(19\) | 644.741i | 1.78599i | 0.450070 | + | 0.892993i | \(0.351399\pi\) | ||||
−0.450070 | + | 0.892993i | \(0.648601\pi\) | |||||||
\(20\) | −45.5130 | + | 335.344i | −0.113782 | + | 0.838361i | ||||
\(21\) | 389.517 | + | 97.6292i | 0.883259 | + | 0.221381i | ||||
\(22\) | −204.165 | + | 178.327i | −0.421828 | + | 0.368445i | ||||
\(23\) | 335.527 | − | 193.717i | 0.634267 | − | 0.366194i | −0.148136 | − | 0.988967i | \(-0.547327\pi\) |
0.782403 | + | 0.622773i | \(0.213994\pi\) | |||||||
\(24\) | −375.336 | + | 436.920i | −0.651625 | + | 0.758541i | ||||
\(25\) | 88.8138 | − | 153.830i | 0.142102 | − | 0.246128i | ||||
\(26\) | 114.223 | − | 22.4833i | 0.168969 | − | 0.0332593i | ||||
\(27\) | 489.802 | − | 539.940i | 0.671882 | − | 0.740658i | ||||
\(28\) | −270.558 | − | 660.639i | −0.345099 | − | 0.842652i | ||||
\(29\) | −362.210 | + | 627.366i | −0.430690 | + | 0.745977i | −0.996933 | − | 0.0782617i | \(-0.975063\pi\) |
0.566243 | + | 0.824238i | \(0.308396\pi\) | |||||||
\(30\) | −678.059 | + | 346.453i | −0.753399 | + | 0.384948i | ||||
\(31\) | −1090.90 | + | 629.833i | −1.13517 | + | 0.655393i | −0.945231 | − | 0.326402i | \(-0.894164\pi\) |
−0.189944 | + | 0.981795i | \(0.560831\pi\) | |||||||
\(32\) | 1021.09 | + | 77.1774i | 0.997156 | + | 0.0753685i | ||||
\(33\) | −591.628 | − | 148.287i | −0.543277 | − | 0.136168i | ||||
\(34\) | 521.004 | − | 1524.81i | 0.450695 | − | 1.31904i | ||||
\(35\) | − | 943.733i | − | 0.770394i | ||||||
\(36\) | −1289.20 | − | 132.558i | −0.994755 | − | 0.102282i | ||||
\(37\) | −1402.04 | −1.02413 | −0.512066 | − | 0.858946i | \(-0.671120\pi\) | ||||
−0.512066 | + | 0.858946i | \(0.671120\pi\) | |||||||
\(38\) | 2440.44 | + | 833.859i | 1.69005 | + | 0.577464i | ||||
\(39\) | 188.194 | + | 182.187i | 0.123731 | + | 0.119781i | ||||
\(40\) | 1210.46 | + | 605.982i | 0.756540 | + | 0.378739i | ||||
\(41\) | −774.166 | − | 1340.89i | −0.460539 | − | 0.797677i | 0.538449 | − | 0.842658i | \(-0.319010\pi\) |
−0.998988 | + | 0.0449815i | \(0.985677\pi\) | |||||||
\(42\) | 873.312 | − | 1348.11i | 0.495075 | − | 0.764236i | ||||
\(43\) | 1620.98 | + | 935.875i | 0.876681 | + | 0.506152i | 0.869563 | − | 0.493823i | \(-0.164401\pi\) |
0.00711825 | + | 0.999975i | \(0.497734\pi\) | |||||||
\(44\) | 410.944 | + | 1003.43i | 0.212264 | + | 0.518300i | ||||
\(45\) | −1510.71 | − | 808.057i | −0.746031 | − | 0.399041i | ||||
\(46\) | −299.300 | − | 1520.56i | −0.141446 | − | 0.718599i | ||||
\(47\) | −3610.63 | − | 2084.60i | −1.63451 | − | 0.943683i | −0.982679 | − | 0.185316i | \(-0.940669\pi\) |
−0.651828 | − | 0.758367i | \(-0.725998\pi\) | |||||||
\(48\) | 1168.37 | + | 1985.78i | 0.507106 | + | 0.861884i | ||||
\(49\) | −205.097 | − | 355.239i | −0.0854217 | − | 0.147955i | ||||
\(50\) | −467.404 | − | 535.125i | −0.186962 | − | 0.214050i | ||||
\(51\) | 3486.36 | − | 995.034i | 1.34039 | − | 0.382558i | ||||
\(52\) | 62.6253 | − | 461.430i | 0.0231602 | − | 0.170647i | ||||
\(53\) | 906.566 | 0.322736 | 0.161368 | − | 0.986894i | \(-0.448409\pi\) | ||||
0.161368 | + | 0.986894i | \(0.448409\pi\) | |||||||
\(54\) | −1410.28 | − | 2552.29i | −0.483634 | − | 0.875270i | ||||
\(55\) | 1433.41i | 0.473855i | ||||||||
\(56\) | −2850.53 | + | 169.681i | −0.908971 | + | 0.0541073i | ||||
\(57\) | 1592.54 | + | 5579.86i | 0.490162 | + | 1.71741i | ||||
\(58\) | 1906.22 | + | 2182.40i | 0.566652 | + | 0.648753i | ||||
\(59\) | −3916.45 | + | 2261.16i | −1.12509 | + | 0.649573i | −0.942696 | − | 0.333652i | \(-0.891719\pi\) |
−0.182397 | + | 0.983225i | \(0.558386\pi\) | |||||||
\(60\) | 434.426 | + | 3014.63i | 0.120674 | + | 0.837397i | ||||
\(61\) | −1314.22 | + | 2276.30i | −0.353190 | + | 0.611743i | −0.986806 | − | 0.161904i | \(-0.948236\pi\) |
0.633617 | + | 0.773647i | \(0.281570\pi\) | |||||||
\(62\) | 973.119 | + | 4943.80i | 0.253153 | + | 1.28611i | ||||
\(63\) | 3612.19 | − | 117.200i | 0.910101 | − | 0.0295289i | ||||
\(64\) | 1612.72 | − | 3765.15i | 0.393731 | − | 0.919226i | ||||
\(65\) | 307.789 | − | 533.107i | 0.0728496 | − | 0.126179i | ||||
\(66\) | −1326.45 | + | 2047.62i | −0.304512 | + | 0.470068i | ||||
\(67\) | −58.7165 | + | 33.9000i | −0.0130801 | + | 0.00755179i | −0.506526 | − | 0.862225i | \(-0.669070\pi\) |
0.493446 | + | 0.869777i | \(0.335737\pi\) | |||||||
\(68\) | −5097.81 | − | 3944.15i | −1.10247 | − | 0.852974i | ||||
\(69\) | 2425.30 | − | 2505.27i | 0.509410 | − | 0.526206i | ||||
\(70\) | −3572.16 | − | 1220.55i | −0.729013 | − | 0.249092i | ||||
\(71\) | 1315.04i | 0.260869i | 0.991457 | + | 0.130434i | \(0.0416372\pi\) | ||||
−0.991457 | + | 0.130434i | \(0.958363\pi\) | |||||||
\(72\) | −2169.11 | + | 4708.38i | −0.418423 | + | 0.908252i | ||||
\(73\) | 9470.72 | 1.77720 | 0.888602 | − | 0.458680i | \(-0.151678\pi\) | ||||
0.888602 | + | 0.458680i | \(0.151678\pi\) | |||||||
\(74\) | −1813.29 | + | 5306.91i | −0.331133 | + | 0.969121i | ||||
\(75\) | 388.665 | − | 1550.68i | 0.0690960 | − | 0.275677i | ||||
\(76\) | 6312.55 | − | 8158.96i | 1.09289 | − | 1.41256i | ||||
\(77\) | −1511.89 | − | 2618.67i | −0.255000 | − | 0.441672i | ||||
\(78\) | 933.001 | − | 476.716i | 0.153353 | − | 0.0783556i | ||||
\(79\) | −3783.95 | − | 2184.67i | −0.606305 | − | 0.350050i | 0.165213 | − | 0.986258i | \(-0.447169\pi\) |
−0.771518 | + | 0.636207i | \(0.780502\pi\) | |||||||
\(80\) | 3859.25 | − | 3798.05i | 0.603008 | − | 0.593445i | ||||
\(81\) | 2905.28 | − | 5882.69i | 0.442810 | − | 0.896616i | ||||
\(82\) | −6076.73 | + | 1196.12i | −0.903737 | + | 0.177888i | ||||
\(83\) | −659.925 | − | 381.008i | −0.0957940 | − | 0.0553067i | 0.451338 | − | 0.892353i | \(-0.350947\pi\) |
−0.547132 | + | 0.837047i | \(0.684280\pi\) | |||||||
\(84\) | −3973.33 | − | 5049.16i | −0.563113 | − | 0.715584i | ||||
\(85\) | −4260.28 | − | 7379.03i | −0.589659 | − | 1.02132i | ||||
\(86\) | 5638.88 | − | 4925.26i | 0.762422 | − | 0.665936i | ||||
\(87\) | −1585.10 | + | 6324.16i | −0.209420 | + | 0.835535i | ||||
\(88\) | 4329.61 | − | 257.724i | 0.559092 | − | 0.0332804i | ||||
\(89\) | 8083.40 | 1.02050 | 0.510251 | − | 0.860025i | \(-0.329552\pi\) | ||||
0.510251 | + | 0.860025i | \(0.329552\pi\) | |||||||
\(90\) | −5012.45 | + | 4673.19i | −0.618821 | + | 0.576937i | ||||
\(91\) | 1298.56i | 0.156813i | ||||||||
\(92\) | −6142.62 | − | 833.676i | −0.725734 | − | 0.0984967i | ||||
\(93\) | −7885.41 | + | 8145.41i | −0.911714 | + | 0.941775i | ||||
\(94\) | −12560.2 | + | 10970.7i | −1.42148 | + | 1.24159i | ||||
\(95\) | 11810.0 | − | 6818.52i | 1.30859 | − | 0.755514i | ||||
\(96\) | 9027.55 | − | 1854.20i | 0.979551 | − | 0.201194i | ||||
\(97\) | −3332.71 | + | 5772.42i | −0.354204 | + | 0.613500i | −0.986981 | − | 0.160834i | \(-0.948582\pi\) |
0.632777 | + | 0.774334i | \(0.281915\pi\) | |||||||
\(98\) | −1609.89 | + | 316.884i | −0.167627 | + | 0.0329950i | ||||
\(99\) | −5486.47 | + | 178.012i | −0.559787 | + | 0.0181627i | ||||
\(100\) | −2630.03 | + | 1077.10i | −0.263003 | + | 0.107710i | ||||
\(101\) | −4643.04 | + | 8041.97i | −0.455155 | + | 0.788352i | −0.998697 | − | 0.0510303i | \(-0.983749\pi\) |
0.543542 | + | 0.839382i | \(0.317083\pi\) | |||||||
\(102\) | 742.638 | − | 14483.3i | 0.0713800 | − | 1.39209i | ||||
\(103\) | 9792.48 | − | 5653.69i | 0.923035 | − | 0.532915i | 0.0384332 | − | 0.999261i | \(-0.487763\pi\) |
0.884602 | + | 0.466346i | \(0.154430\pi\) | |||||||
\(104\) | −1665.58 | − | 833.824i | −0.153993 | − | 0.0770917i | ||||
\(105\) | −2331.06 | − | 8167.45i | −0.211434 | − | 0.740812i | ||||
\(106\) | 1172.48 | − | 3431.48i | 0.104351 | − | 0.305401i | ||||
\(107\) | 6261.61i | 0.546913i | 0.961884 | + | 0.273456i | \(0.0881669\pi\) | ||||
−0.961884 | + | 0.273456i | \(0.911833\pi\) | |||||||
\(108\) | −11484.7 | + | 2037.17i | −0.984630 | + | 0.174655i | ||||
\(109\) | 3452.85 | 0.290620 | 0.145310 | − | 0.989386i | \(-0.453582\pi\) | ||||
0.145310 | + | 0.989386i | \(0.453582\pi\) | |||||||
\(110\) | 5425.67 | + | 1853.87i | 0.448403 | + | 0.153212i | ||||
\(111\) | −12133.8 | + | 3463.08i | −0.984806 | + | 0.281072i | ||||
\(112\) | −3044.40 | + | 11009.1i | −0.242697 | + | 0.877641i | ||||
\(113\) | 1272.55 | + | 2204.13i | 0.0996597 | + | 0.172616i | 0.911544 | − | 0.411203i | \(-0.134891\pi\) |
−0.811884 | + | 0.583819i | \(0.801558\pi\) | |||||||
\(114\) | 23180.2 | + | 1188.58i | 1.78364 | + | 0.0914573i | ||||
\(115\) | −7096.79 | − | 4097.33i | −0.536619 | − | 0.309817i | ||||
\(116\) | 10726.1 | − | 4392.75i | 0.797122 | − | 0.326453i | ||||
\(117\) | 2078.72 | + | 1111.88i | 0.151853 | + | 0.0812241i | ||||
\(118\) | 3493.59 | + | 17748.7i | 0.250904 | + | 1.27469i | ||||
\(119\) | 15566.1 | + | 8987.07i | 1.09922 | + | 0.634636i | ||||
\(120\) | 11972.7 | + | 2254.52i | 0.831435 | + | 0.156564i | ||||
\(121\) | −5024.12 | − | 8702.04i | −0.343154 | − | 0.594361i | ||||
\(122\) | 6916.39 | + | 7918.50i | 0.464687 | + | 0.532014i | ||||
\(123\) | −10012.0 | − | 9692.44i | −0.661776 | − | 0.640653i | ||||
\(124\) | 19971.6 | + | 2710.54i | 1.29888 | + | 0.176284i | ||||
\(125\) | −16976.5 | −1.08650 | ||||||||
\(126\) | 4228.11 | − | 13824.2i | 0.266321 | − | 0.870764i | ||||
\(127\) | − | 530.060i | − | 0.0328638i | −0.999865 | − | 0.0164319i | \(-0.994769\pi\) | ||
0.999865 | − | 0.0164319i | \(-0.00523067\pi\) | |||||||
\(128\) | −12165.9 | − | 10973.9i | −0.742545 | − | 0.669796i | ||||
\(129\) | 16340.3 | + | 4095.56i | 0.981931 | + | 0.246112i | ||||
\(130\) | −1619.82 | − | 1854.51i | −0.0958471 | − | 0.109734i | ||||
\(131\) | 802.198 | − | 463.149i | 0.0467454 | − | 0.0269885i | −0.476445 | − | 0.879204i | \(-0.658075\pi\) |
0.523191 | + | 0.852216i | \(0.324742\pi\) | |||||||
\(132\) | 6034.99 | + | 7669.04i | 0.346361 | + | 0.440143i | ||||
\(133\) | −14383.7 | + | 24913.2i | −0.813142 | + | 1.40840i | ||||
\(134\) | 52.3769 | + | 266.094i | 0.00291696 | + | 0.0148192i | ||||
\(135\) | −15070.3 | − | 3261.74i | −0.826901 | − | 0.178971i | ||||
\(136\) | −21522.3 | + | 14194.9i | −1.16362 | + | 0.767456i | ||||
\(137\) | −834.113 | + | 1444.73i | −0.0444410 | + | 0.0769741i | −0.887390 | − | 0.461019i | \(-0.847484\pi\) |
0.842949 | + | 0.537993i | \(0.180817\pi\) | |||||||
\(138\) | −6346.10 | − | 12420.2i | −0.333234 | − | 0.652187i | ||||
\(139\) | −717.766 | + | 414.402i | −0.0371495 | + | 0.0214483i | −0.518460 | − | 0.855102i | \(-0.673494\pi\) |
0.481310 | + | 0.876550i | \(0.340161\pi\) | |||||||
\(140\) | −9239.93 | + | 11942.6i | −0.471425 | + | 0.609316i | ||||
\(141\) | −36396.9 | − | 9122.57i | −1.83074 | − | 0.458859i | ||||
\(142\) | 4977.62 | + | 1700.77i | 0.246857 | + | 0.0843470i | ||||
\(143\) | − | 1972.36i | − | 0.0964525i | ||||||
\(144\) | 15016.5 | + | 14299.8i | 0.724177 | + | 0.689614i | ||||
\(145\) | 15322.3 | 0.728768 | ||||||||
\(146\) | 12248.7 | − | 35848.0i | 0.574625 | − | 1.68174i | ||||
\(147\) | −2652.45 | − | 2567.79i | −0.122748 | − | 0.118830i | ||||
\(148\) | 17742.2 | + | 13727.1i | 0.810000 | + | 0.626693i | ||||
\(149\) | −1561.38 | − | 2704.39i | −0.0703292 | − | 0.121814i | 0.828716 | − | 0.559669i | \(-0.189072\pi\) |
−0.899046 | + | 0.437855i | \(0.855738\pi\) | |||||||
\(150\) | −5366.89 | − | 3476.69i | −0.238528 | − | 0.154519i | ||||
\(151\) | 7932.37 | + | 4579.76i | 0.347896 | + | 0.200858i | 0.663758 | − | 0.747947i | \(-0.268960\pi\) |
−0.315862 | + | 0.948805i | \(0.602294\pi\) | |||||||
\(152\) | −22718.7 | − | 34446.1i | −0.983322 | − | 1.49091i | ||||
\(153\) | 27714.6 | − | 17222.9i | 1.18393 | − | 0.735737i | ||||
\(154\) | −11867.4 | + | 2335.94i | −0.500397 | + | 0.0984963i | ||||
\(155\) | 23073.9 | + | 13321.7i | 0.960411 | + | 0.554494i | ||||
\(156\) | −597.765 | − | 4148.09i | −0.0245630 | − | 0.170451i | ||||
\(157\) | −10551.8 | − | 18276.3i | −0.428084 | − | 0.741463i | 0.568619 | − | 0.822601i | \(-0.307478\pi\) |
−0.996703 | + | 0.0811381i | \(0.974145\pi\) | |||||||
\(158\) | −13163.1 | + | 11497.3i | −0.527285 | + | 0.460556i | ||||
\(159\) | 7845.80 | − | 2239.25i | 0.310344 | − | 0.0885746i | ||||
\(160\) | −9384.91 | − | 19519.9i | −0.366598 | − | 0.762497i | ||||
\(161\) | 17286.7 | 0.666898 | ||||||||
\(162\) | −18509.4 | − | 18605.1i | −0.705281 | − | 0.708928i | ||||
\(163\) | − | 42771.0i | − | 1.60981i | −0.593405 | − | 0.804904i | \(-0.702217\pi\) | ||
0.593405 | − | 0.804904i | \(-0.297783\pi\) | |||||||
\(164\) | −3331.69 | + | 24548.2i | −0.123873 | + | 0.912710i | ||||
\(165\) | 3540.59 | + | 12405.3i | 0.130049 | + | 0.455660i | ||||
\(166\) | −2295.66 | + | 2005.14i | −0.0833091 | + | 0.0727661i | ||||
\(167\) | −9568.12 | + | 5524.16i | −0.343079 | + | 0.198077i | −0.661633 | − | 0.749828i | \(-0.730136\pi\) |
0.318554 | + | 0.947905i | \(0.396803\pi\) | |||||||
\(168\) | −24250.6 | + | 8509.42i | −0.859219 | + | 0.301496i | ||||
\(169\) | 13857.0 | − | 24001.0i | 0.485172 | − | 0.840342i | ||||
\(170\) | −33440.6 | + | 6582.32i | −1.15711 | + | 0.227762i | ||||
\(171\) | 27564.9 | + | 44356.8i | 0.942681 | + | 1.51694i | ||||
\(172\) | −11349.9 | − | 27713.9i | −0.383651 | − | 0.936787i | ||||
\(173\) | 10967.8 | − | 18996.8i | 0.366461 | − | 0.634729i | −0.622549 | − | 0.782581i | \(-0.713903\pi\) |
0.989009 | + | 0.147852i | \(0.0472360\pi\) | |||||||
\(174\) | 21887.8 | + | 14179.0i | 0.722943 | + | 0.468325i | ||||
\(175\) | 6863.66 | − | 3962.73i | 0.224119 | − | 0.129395i | ||||
\(176\) | 4624.06 | − | 16721.5i | 0.149279 | − | 0.539821i | ||||
\(177\) | −28309.4 | + | 29242.8i | −0.903617 | + | 0.933411i | ||||
\(178\) | 10454.4 | − | 30596.8i | 0.329960 | − | 0.965687i | ||||
\(179\) | 11479.2i | 0.358265i | 0.983825 | + | 0.179133i | \(0.0573291\pi\) | ||||
−0.983825 | + | 0.179133i | \(0.942671\pi\) | |||||||
\(180\) | 11206.0 | + | 25016.8i | 0.345863 | + | 0.772123i | ||||
\(181\) | 45472.2 | 1.38800 | 0.693999 | − | 0.719976i | \(-0.255847\pi\) | ||||
0.693999 | + | 0.719976i | \(0.255847\pi\) | |||||||
\(182\) | 4915.25 | + | 1679.46i | 0.148389 | + | 0.0507023i | ||||
\(183\) | −5751.26 | + | 22946.2i | −0.171736 | + | 0.685186i | ||||
\(184\) | −11100.0 | + | 22172.5i | −0.327858 | + | 0.654905i | ||||
\(185\) | 14827.4 | + | 25681.7i | 0.433232 | + | 0.750379i | ||||
\(186\) | 20633.2 | + | 40382.1i | 0.596403 | + | 1.16725i | ||||
\(187\) | −23642.9 | − | 13650.2i | −0.676111 | − | 0.390353i | ||||
\(188\) | 25281.2 | + | 61730.8i | 0.715290 | + | 1.74657i | ||||
\(189\) | 30971.9 | − | 9936.56i | 0.867051 | − | 0.278171i | ||||
\(190\) | −10534.9 | − | 53521.2i | −0.291825 | − | 1.48258i | ||||
\(191\) | −60657.0 | − | 35020.3i | −1.66270 | − | 0.959961i | −0.971418 | − | 0.237376i | \(-0.923713\pi\) |
−0.691283 | − | 0.722584i | \(-0.742954\pi\) | |||||||
\(192\) | 4657.12 | − | 36568.6i | 0.126332 | − | 0.991988i | ||||
\(193\) | 17426.4 | + | 30183.5i | 0.467836 | + | 0.810316i | 0.999325 | − | 0.0367497i | \(-0.0117004\pi\) |
−0.531488 | + | 0.847066i | \(0.678367\pi\) | |||||||
\(194\) | 17539.2 | + | 20080.4i | 0.466021 | + | 0.533542i | ||||
\(195\) | 1346.94 | − | 5373.98i | 0.0354225 | − | 0.141328i | ||||
\(196\) | −882.655 | + | 6503.50i | −0.0229762 | + | 0.169291i | ||||
\(197\) | −30858.0 | −0.795124 | −0.397562 | − | 0.917575i | \(-0.630144\pi\) | ||||
−0.397562 | + | 0.917575i | \(0.630144\pi\) | |||||||
\(198\) | −6421.98 | + | 20997.3i | −0.163809 | + | 0.535591i | ||||
\(199\) | 34262.5i | 0.865192i | 0.901588 | + | 0.432596i | \(0.142402\pi\) | ||||
−0.901588 | + | 0.432596i | \(0.857598\pi\) | |||||||
\(200\) | 675.504 | + | 11348.1i | 0.0168876 | + | 0.283702i | ||||
\(201\) | −424.422 | + | 438.416i | −0.0105052 | + | 0.0108516i | ||||
\(202\) | 24435.1 | + | 27975.4i | 0.598840 | + | 0.685605i | ||||
\(203\) | −27992.1 | + | 16161.2i | −0.679272 | + | 0.392178i | ||||
\(204\) | −53860.7 | − | 21542.5i | −1.29423 | − | 0.517650i | ||||
\(205\) | −16374.5 | + | 28361.5i | −0.389638 | + | 0.674872i | ||||
\(206\) | −8735.19 | − | 44378.0i | −0.205844 | − | 1.04576i | ||||
\(207\) | 14801.5 | − | 27672.2i | 0.345433 | − | 0.645808i | ||||
\(208\) | −5310.28 | + | 5226.07i | −0.122741 | + | 0.120795i | ||||
\(209\) | 21847.0 | − | 37840.1i | 0.500149 | − | 0.866283i | ||||
\(210\) | −33929.8 | − | 1739.77i | −0.769383 | − | 0.0394506i | ||||
\(211\) | −14989.6 | + | 8654.27i | −0.336687 | + | 0.194386i | −0.658806 | − | 0.752313i | \(-0.728938\pi\) |
0.322119 | + | 0.946699i | \(0.395605\pi\) | |||||||
\(212\) | −11472.3 | − | 8876.03i | −0.255257 | − | 0.197491i | ||||
\(213\) | 3248.20 | + | 11380.9i | 0.0715952 | + | 0.250852i | ||||
\(214\) | 23701.1 | + | 8098.28i | 0.517536 | + | 0.176834i | ||||
\(215\) | − | 39589.7i | − | 0.856457i | ||||||
\(216\) | −7142.47 | + | 46106.0i | −0.153088 | + | 0.988213i | ||||
\(217\) | −56204.3 | −1.19358 | ||||||||
\(218\) | 4465.65 | − | 13069.5i | 0.0939663 | − | 0.275009i | ||||
\(219\) | 81963.5 | − | 23393.0i | 1.70896 | − | 0.487751i | ||||
\(220\) | 14034.3 | − | 18139.3i | 0.289965 | − | 0.374779i | ||||
\(221\) | 5862.10 | + | 10153.5i | 0.120024 | + | 0.207888i | ||||
\(222\) | −2584.65 | + | 50407.1i | −0.0524440 | + | 1.02279i | ||||
\(223\) | 55484.8 | + | 32034.1i | 1.11574 | + | 0.644174i | 0.940311 | − | 0.340317i | \(-0.110534\pi\) |
0.175432 | + | 0.984492i | \(0.443868\pi\) | |||||||
\(224\) | 37733.8 | + | 25761.9i | 0.752028 | + | 0.513430i | ||||
\(225\) | −466.578 | − | 14380.3i | −0.00921636 | − | 0.284055i | ||||
\(226\) | 9988.77 | − | 1966.15i | 0.195567 | − | 0.0384946i | ||||
\(227\) | 11857.8 | + | 6846.11i | 0.230119 | + | 0.132859i | 0.610627 | − | 0.791918i | \(-0.290917\pi\) |
−0.380508 | + | 0.924778i | \(0.624251\pi\) | |||||||
\(228\) | 34478.5 | − | 86203.3i | 0.663252 | − | 1.65827i | ||||
\(229\) | −32996.2 | − | 57151.0i | −0.629205 | − | 1.08982i | −0.987711 | − | 0.156288i | \(-0.950047\pi\) |
0.358506 | − | 0.933527i | \(-0.383286\pi\) | |||||||
\(230\) | −24687.4 | + | 21563.2i | −0.466681 | + | 0.407622i | ||||
\(231\) | −19552.8 | − | 18928.7i | −0.366424 | − | 0.354728i | ||||
\(232\) | −2754.91 | − | 46281.0i | −0.0511838 | − | 0.859857i | ||||
\(233\) | −63342.4 | −1.16676 | −0.583381 | − | 0.812198i | \(-0.698271\pi\) | ||||
−0.583381 | + | 0.812198i | \(0.698271\pi\) | |||||||
\(234\) | 6897.07 | − | 6430.25i | 0.125960 | − | 0.117435i | ||||
\(235\) | 88183.3i | 1.59680i | ||||||||
\(236\) | 71699.9 | + | 9731.11i | 1.28734 | + | 0.174718i | ||||
\(237\) | −38144.1 | − | 9560.49i | −0.679095 | − | 0.170209i | ||||
\(238\) | 54149.3 | − | 47296.6i | 0.955959 | − | 0.834980i | ||||
\(239\) | 275.008 | − | 158.776i | 0.00481448 | − | 0.00277964i | −0.497591 | − | 0.867412i | \(-0.665782\pi\) |
0.502405 | + | 0.864632i | \(0.332449\pi\) | |||||||
\(240\) | 24018.2 | − | 42402.4i | 0.416983 | − | 0.736153i | ||||
\(241\) | −12752.6 | + | 22088.2i | −0.219566 | + | 0.380300i | −0.954675 | − | 0.297649i | \(-0.903798\pi\) |
0.735109 | + | 0.677949i | \(0.237131\pi\) | |||||||
\(242\) | −39436.3 | + | 7762.48i | −0.673388 | + | 0.132547i | ||||
\(243\) | 10613.0 | − | 58087.4i | 0.179732 | − | 0.983716i | ||||
\(244\) | 38917.8 | − | 15938.4i | 0.653685 | − | 0.267710i | ||||
\(245\) | −4338.05 | + | 7513.73i | −0.0722708 | + | 0.125177i | ||||
\(246\) | −49636.0 | + | 25361.5i | −0.820214 | + | 0.419087i | ||||
\(247\) | −16250.4 | + | 9382.19i | −0.266361 | + | 0.153784i | ||||
\(248\) | 36089.5 | − | 72089.6i | 0.586783 | − | 1.17211i | ||||
\(249\) | −6652.37 | − | 1667.36i | −0.107295 | − | 0.0268924i | ||||
\(250\) | −21956.1 | + | 64258.6i | −0.351298 | + | 1.02814i | ||||
\(251\) | − | 40987.7i | − | 0.650588i | −0.945613 | − | 0.325294i | \(-0.894537\pi\) | ||
0.945613 | − | 0.325294i | \(-0.105463\pi\) | |||||||
\(252\) | −46858.4 | − | 33883.2i | −0.737882 | − | 0.533561i | ||||
\(253\) | −26256.3 | −0.410197 | ||||||||
\(254\) | −2006.35 | − | 685.539i | −0.0310986 | − | 0.0106259i | ||||
\(255\) | −55096.8 | − | 53338.1i | −0.847317 | − | 0.820271i | ||||
\(256\) | −57272.3 | + | 31856.6i | −0.873907 | + | 0.486094i | ||||
\(257\) | −15479.1 | − | 26810.5i | −0.234357 | − | 0.405919i | 0.724728 | − | 0.689035i | \(-0.241965\pi\) |
−0.959086 | + | 0.283116i | \(0.908632\pi\) | |||||||
\(258\) | 36635.6 | − | 56553.5i | 0.550381 | − | 0.849611i | ||||
\(259\) | −54175.6 | − | 31278.3i | −0.807615 | − | 0.466277i | ||||
\(260\) | −9114.52 | + | 3732.76i | −0.134830 | + | 0.0552183i | ||||
\(261\) | 1902.85 | + | 58647.2i | 0.0279334 | + | 0.860926i | ||||
\(262\) | −715.585 | − | 3635.44i | −0.0104246 | − | 0.0529607i | ||||
\(263\) | −13311.8 | − | 7685.54i | −0.192453 | − | 0.111113i | 0.400678 | − | 0.916219i | \(-0.368775\pi\) |
−0.593130 | + | 0.805107i | \(0.702108\pi\) | |||||||
\(264\) | 36833.6 | − | 12924.7i | 0.528490 | − | 0.185445i | ||||
\(265\) | −9587.47 | − | 16606.0i | −0.136525 | − | 0.236468i | ||||
\(266\) | 75697.5 | + | 86665.1i | 1.06984 | + | 1.22485i | ||||
\(267\) | 69957.1 | − | 19966.3i | 0.981317 | − | 0.280076i | ||||
\(268\) | 1074.94 | + | 145.891i | 0.0149664 | + | 0.00203124i | ||||
\(269\) | 76105.5 | 1.05175 | 0.525873 | − | 0.850563i | \(-0.323739\pi\) | ||||
0.525873 | + | 0.850563i | \(0.323739\pi\) | |||||||
\(270\) | −31836.9 | + | 52824.7i | −0.436720 | + | 0.724618i | ||||
\(271\) | 78076.4i | 1.06312i | 0.847021 | + | 0.531559i | \(0.178394\pi\) | ||||
−0.847021 | + | 0.531559i | \(0.821606\pi\) | |||||||
\(272\) | 25894.4 | + | 99823.5i | 0.349999 | + | 1.34926i | ||||
\(273\) | 3207.51 | + | 11238.3i | 0.0430370 | + | 0.150791i | ||||
\(274\) | 4389.72 | + | 5025.74i | 0.0584704 | + | 0.0669420i | ||||
\(275\) | −10425.0 | + | 6018.90i | −0.137852 | + | 0.0795887i | ||||
\(276\) | −55220.0 | + | 7957.53i | −0.724900 | + | 0.104462i | ||||
\(277\) | −2369.97 | + | 4104.90i | −0.0308875 | + | 0.0534987i | −0.881056 | − | 0.473012i | \(-0.843167\pi\) |
0.850168 | + | 0.526511i | \(0.176500\pi\) | |||||||
\(278\) | 640.269 | + | 3252.80i | 0.00828463 | + | 0.0420890i | ||||
\(279\) | −48124.2 | + | 89971.1i | −0.618237 | + | 1.15583i | ||||
\(280\) | 33254.2 | + | 50420.1i | 0.424161 | + | 0.643113i | ||||
\(281\) | −21604.6 | + | 37420.3i | −0.273612 | + | 0.473909i | −0.969784 | − | 0.243966i | \(-0.921552\pi\) |
0.696172 | + | 0.717875i | \(0.254885\pi\) | |||||||
\(282\) | −81603.2 | + | 125969.i | −1.02615 | + | 1.58404i | ||||
\(283\) | −31277.1 | + | 18057.8i | −0.390529 | + | 0.225472i | −0.682389 | − | 0.730989i | \(-0.739059\pi\) |
0.291860 | + | 0.956461i | \(0.405726\pi\) | |||||||
\(284\) | 12875.3 | − | 16641.3i | 0.159633 | − | 0.206325i | ||||
\(285\) | 85366.8 | − | 88181.5i | 1.05099 | − | 1.08564i | ||||
\(286\) | −7465.66 | − | 2550.90i | −0.0912717 | − | 0.0311861i | ||||
\(287\) | − | 69084.1i | − | 0.838715i | ||||||
\(288\) | 73548.2 | − | 38345.4i | 0.886721 | − | 0.462305i | ||||
\(289\) | 78760.1 | 0.942997 | ||||||||
\(290\) | 19816.7 | − | 57997.3i | 0.235633 | − | 0.689623i | ||||
\(291\) | −14584.5 | + | 58188.8i | −0.172229 | + | 0.687153i | ||||
\(292\) | −119848. | − | 92726.2i | −1.40562 | − | 1.08752i | ||||
\(293\) | 48046.7 | + | 83219.2i | 0.559665 | + | 0.969368i | 0.997524 | + | 0.0703243i | \(0.0224034\pi\) |
−0.437859 | + | 0.899043i | \(0.644263\pi\) | |||||||
\(294\) | −13149.9 | + | 6718.94i | −0.152135 | + | 0.0777331i | ||||
\(295\) | 82837.5 | + | 47826.3i | 0.951882 | + | 0.549569i | ||||
\(296\) | 74905.5 | − | 49403.4i | 0.854929 | − | 0.563862i | ||||
\(297\) | −47042.5 | + | 15092.4i | −0.533307 | + | 0.171098i | ||||
\(298\) | −12255.9 | + | 2412.40i | −0.138010 | + | 0.0271654i | ||||
\(299\) | 9765.10 | + | 5637.88i | 0.109228 | + | 0.0630628i | ||||
\(300\) | −20100.9 | + | 15818.0i | −0.223343 | + | 0.175755i | ||||
\(301\) | 41757.3 | + | 72325.7i | 0.460892 | + | 0.798288i | ||||
\(302\) | 27594.2 | − | 24102.1i | 0.302554 | − | 0.264265i | ||||
\(303\) | −20318.8 | + | 81067.1i | −0.221316 | + | 0.882997i | ||||
\(304\) | −159766. | + | 41443.5i | −1.72877 | + | 0.448445i | ||||
\(305\) | 55594.6 | 0.597631 | ||||||||
\(306\) | −29347.1 | − | 127178.i | −0.313417 | − | 1.35822i | ||||
\(307\) | − | 140641.i | − | 1.49223i | −0.665817 | − | 0.746115i | \(-0.731917\pi\) | ||
0.665817 | − | 0.746115i | \(-0.268083\pi\) | |||||||
\(308\) | −6506.56 | + | 47941.0i | −0.0685883 | + | 0.505366i | ||||
\(309\) | 70783.4 | − | 73117.2i | 0.741334 | − | 0.765778i | ||||
\(310\) | 80266.6 | − | 70108.7i | 0.835240 | − | 0.729539i | ||||
\(311\) | 141564. | − | 81731.8i | 1.46363 | − | 0.845027i | 0.464453 | − | 0.885598i | \(-0.346251\pi\) |
0.999177 | + | 0.0405712i | \(0.0129178\pi\) | |||||||
\(312\) | −16474.2 | − | 3102.20i | −0.169237 | − | 0.0318684i | ||||
\(313\) | 25645.1 | − | 44418.7i | 0.261768 | − | 0.453395i | −0.704944 | − | 0.709263i | \(-0.749028\pi\) |
0.966712 | + | 0.255868i | \(0.0823611\pi\) | |||||||
\(314\) | −82825.4 | + | 16303.0i | −0.840049 | + | 0.165352i | ||||
\(315\) | −40347.9 | − | 64926.7i | −0.406630 | − | 0.654338i | ||||
\(316\) | 26494.8 | + | 64694.1i | 0.265330 | + | 0.647874i | ||||
\(317\) | 14025.0 | − | 24292.0i | 0.139568 | − | 0.241738i | −0.787765 | − | 0.615975i | \(-0.788762\pi\) |
0.927333 | + | 0.374237i | \(0.122095\pi\) | |||||||
\(318\) | 1671.25 | − | 32593.6i | 0.0165268 | − | 0.322313i | ||||
\(319\) | 42516.5 | − | 24546.9i | 0.417808 | − | 0.241221i | ||||
\(320\) | −86023.4 | + | 10277.7i | −0.840073 | + | 0.100368i | ||||
\(321\) | 15466.4 | + | 54190.5i | 0.150100 | + | 0.525912i | ||||
\(322\) | 22357.2 | − | 65432.5i | 0.215629 | − | 0.631076i | ||||
\(323\) | 259728.i | 2.48951i | ||||||||
\(324\) | −94361.6 | + | 45998.3i | −0.898888 | + | 0.438179i | ||||
\(325\) | 5169.63 | 0.0489433 | ||||||||
\(326\) | −161894. | − | 55316.7i | −1.52334 | − | 0.520500i | ||||
\(327\) | 29882.4 | − | 8528.68i | 0.279460 | − | 0.0797602i | ||||
\(328\) | 88609.7 | + | 44359.7i | 0.823633 | + | 0.412327i | ||||
\(329\) | −93011.4 | − | 161101.i | −0.859299 | − | 1.48835i | ||||
\(330\) | 51535.1 | + | 2642.49i | 0.473234 | + | 0.0242653i | ||||
\(331\) | −97678.0 | − | 56394.4i | −0.891540 | − | 0.514731i | −0.0170938 | − | 0.999854i | \(-0.505441\pi\) |
−0.874446 | + | 0.485123i | \(0.838775\pi\) | |||||||
\(332\) | 4620.72 | + | 11282.7i | 0.0419212 | + | 0.102362i | ||||
\(333\) | −96457.0 | + | 59941.9i | −0.869852 | + | 0.540558i | ||||
\(334\) | 8535.06 | + | 43361.2i | 0.0765092 | + | 0.388695i | ||||
\(335\) | 1241.92 | + | 717.024i | 0.0110664 | + | 0.00638917i | ||||
\(336\) | 845.525 | + | 102797.i | 0.00748942 | + | 0.910550i | ||||
\(337\) | 10409.8 | + | 18030.3i | 0.0916606 | + | 0.158761i | 0.908210 | − | 0.418515i | \(-0.137449\pi\) |
−0.816549 | + | 0.577276i | \(0.804116\pi\) | |||||||
\(338\) | −72925.7 | − | 83491.7i | −0.638333 | − | 0.730819i | ||||
\(339\) | 16457.5 | + | 15932.2i | 0.143207 | + | 0.138636i | ||||
\(340\) | −18334.5 | + | 135091.i | −0.158603 | + | 1.16860i | ||||
\(341\) | 85367.4 | 0.734147 | ||||||||
\(342\) | 203547. | − | 46969.6i | 1.74025 | − | 0.401573i | ||||
\(343\) | − | 125431.i | − | 1.06615i | ||||||
\(344\) | −119580. | + | 7118.12i | −1.01052 | + | 0.0601518i | ||||
\(345\) | −71539.2 | − | 17930.7i | −0.601043 | − | 0.150646i | ||||
\(346\) | −57720.7 | − | 66083.7i | −0.482147 | − | 0.552004i | ||||
\(347\) | −139615. | + | 80606.6i | −1.15950 | + | 0.669440i | −0.951185 | − | 0.308621i | \(-0.900132\pi\) |
−0.208318 | + | 0.978061i | \(0.566799\pi\) | |||||||
\(348\) | 81977.6 | − | 64510.5i | 0.676919 | − | 0.532687i | ||||
\(349\) | 110742. | − | 191811.i | 0.909205 | − | 1.57479i | 0.0940341 | − | 0.995569i | \(-0.470024\pi\) |
0.815171 | − | 0.579220i | \(-0.196643\pi\) | |||||||
\(350\) | −6122.59 | − | 31105.0i | −0.0499803 | − | 0.253919i | ||||
\(351\) | 20736.5 | + | 4488.12i | 0.168314 | + | 0.0364292i | ||||
\(352\) | −57312.9 | − | 39129.0i | −0.462559 | − | 0.315801i | ||||
\(353\) | −109395. | + | 189477.i | −0.877904 | + | 1.52057i | −0.0242676 | + | 0.999705i | \(0.507725\pi\) |
−0.853637 | + | 0.520869i | \(0.825608\pi\) | |||||||
\(354\) | 74075.1 | + | 144976.i | 0.591107 | + | 1.15688i | ||||
\(355\) | 24088.2 | − | 13907.3i | 0.191138 | − | 0.110354i | ||||
\(356\) | −102292. | − | 79143.2i | −0.807130 | − | 0.624473i | ||||
\(357\) | 156914. | + | 39329.1i | 1.23119 | + | 0.308587i | ||||
\(358\) | 43450.3 | + | 14846.3i | 0.339021 | + | 0.115838i | ||||
\(359\) | 924.606i | 0.00717411i | 0.999994 | + | 0.00358705i | \(0.00114180\pi\) | ||||
−0.999994 | + | 0.00358705i | \(0.998858\pi\) | |||||||
\(360\) | 109185. | − | 10061.4i | 0.842478 | − | 0.0776339i | ||||
\(361\) | −285370. | −2.18975 | ||||||||
\(362\) | 58810.2 | − | 172119.i | 0.448782 | − | 1.31344i | ||||
\(363\) | −64975.2 | − | 62901.3i | −0.493100 | − | 0.477360i | ||||
\(364\) | 12714.0 | − | 16432.9i | 0.0959578 | − | 0.124025i | ||||
\(365\) | −100158. | − | 173479.i | −0.751799 | − | 1.30215i | ||||
\(366\) | 79416.4 | + | 51446.2i | 0.592854 | + | 0.384053i | ||||
\(367\) | 35332.0 | + | 20398.9i | 0.262323 | + | 0.151452i | 0.625394 | − | 0.780309i | \(-0.284938\pi\) |
−0.363071 | + | 0.931762i | \(0.618272\pi\) | |||||||
\(368\) | 69570.1 | + | 70691.2i | 0.513721 | + | 0.521999i | ||||
\(369\) | −110589. | − | 59152.3i | −0.812192 | − | 0.434429i | ||||
\(370\) | 116386. | − | 22908.9i | 0.850150 | − | 0.167340i | ||||
\(371\) | 35030.3 | + | 20224.8i | 0.254505 | + | 0.146939i | ||||
\(372\) | 179537. | − | 25872.4i | 1.29739 | − | 0.186961i | ||||
\(373\) | 117265. | + | 203109.i | 0.842851 | + | 1.45986i | 0.887474 | + | 0.460858i | \(0.152458\pi\) |
−0.0446228 | + | 0.999004i | \(0.514209\pi\) | |||||||
\(374\) | −82246.1 | + | 71837.7i | −0.587993 | + | 0.513581i | ||||
\(375\) | −146922. | + | 41932.7i | −1.04478 | + | 0.298188i | ||||
\(376\) | 266357. | − | 15855.1i | 1.88403 | − | 0.112149i | ||||
\(377\) | −21083.4 | −0.148340 | ||||||||
\(378\) | 2445.40 | − | 130084.i | 0.0171146 | − | 0.910420i | ||||
\(379\) | − | 185553.i | − | 1.29178i | −0.763428 | − | 0.645892i | \(-0.776485\pi\) | ||
0.763428 | − | 0.645892i | \(-0.223515\pi\) | |||||||
\(380\) | −216210. | − | 29344.1i | −1.49730 | − | 0.203214i | ||||
\(381\) | −1309.27 | − | 4587.36i | −0.00901944 | − | 0.0316019i | ||||
\(382\) | −211006. | + | 184303.i | −1.44600 | + | 1.26301i | ||||
\(383\) | 52190.3 | − | 30132.1i | 0.355789 | − | 0.205415i | −0.311443 | − | 0.950265i | \(-0.600812\pi\) |
0.667232 | + | 0.744850i | \(0.267479\pi\) | |||||||
\(384\) | −132394. | − | 64922.9i | −0.897857 | − | 0.440287i | ||||
\(385\) | −31978.3 | + | 55388.1i | −0.215742 | + | 0.373675i | ||||
\(386\) | 136787. | − | 26924.6i | 0.918056 | − | 0.180707i | ||||
\(387\) | 151532. | − | 4916.56i | 1.01177 | − | 0.0328276i | ||||
\(388\) | 98691.0 | − | 40417.8i | 0.655562 | − | 0.268479i | ||||
\(389\) | 6004.66 | − | 10400.4i | 0.0396816 | − | 0.0687306i | −0.845502 | − | 0.533971i | \(-0.820699\pi\) |
0.885184 | + | 0.465241i | \(0.154032\pi\) | |||||||
\(390\) | −18599.3 | − | 12048.7i | −0.122283 | − | 0.0792154i | ||||
\(391\) | 135164. | − | 78037.0i | 0.884113 | − | 0.510443i | ||||
\(392\) | 23475.1 | + | 11752.1i | 0.152769 | + | 0.0764792i | ||||
\(393\) | 5798.56 | − | 5989.75i | 0.0375435 | − | 0.0387814i | ||||
\(394\) | −39909.3 | + | 116802.i | −0.257088 | + | 0.752415i | ||||
\(395\) | 92416.5i | 0.592318i | ||||||||
\(396\) | 71172.1 | + | 51464.4i | 0.453858 | + | 0.328183i | ||||
\(397\) | 32276.3 | 0.204787 | 0.102394 | − | 0.994744i | \(-0.467350\pi\) | ||||
0.102394 | + | 0.994744i | \(0.467350\pi\) | |||||||
\(398\) | 129688. | + | 44312.4i | 0.818719 | + | 0.279743i | ||||
\(399\) | −62945.5 | + | 251138.i | −0.395384 | + | 1.57749i | ||||
\(400\) | 43827.8 | + | 12119.9i | 0.273924 | + | 0.0757491i | ||||
\(401\) | 93863.1 | + | 162576.i | 0.583722 | + | 1.01104i | 0.995033 | + | 0.0995418i | \(0.0317377\pi\) |
−0.411311 | + | 0.911495i | \(0.634929\pi\) | |||||||
\(402\) | 1110.55 | + | 2173.51i | 0.00687207 | + | 0.0134496i | ||||
\(403\) | −31749.4 | − | 18330.5i | −0.195490 | − | 0.112866i | ||||
\(404\) | 137494. | − | 56309.0i | 0.842402 | − | 0.344997i | ||||
\(405\) | −138481. | + | 8995.70i | −0.844268 | + | 0.0548435i | ||||
\(406\) | 24969.8 | + | 126856.i | 0.151483 | + | 0.769588i | ||||
\(407\) | 82286.0 | + | 47507.9i | 0.496749 | + | 0.286798i | ||||
\(408\) | −151201. | + | 176009.i | −0.908310 | + | 1.05734i | ||||
\(409\) | 67272.0 | + | 116518.i | 0.402149 | + | 0.696543i | 0.993985 | − | 0.109515i | \(-0.0349299\pi\) |
−0.591836 | + | 0.806059i | \(0.701597\pi\) | |||||||
\(410\) | 86174.8 | + | 98660.5i | 0.512640 | + | 0.586916i | ||||
\(411\) | −3650.23 | + | 14563.6i | −0.0216091 | + | 0.0862152i | ||||
\(412\) | −179275. | − | 24331.1i | −1.05615 | − | 0.143340i | ||||
\(413\) | −201779. | −1.18298 | ||||||||
\(414\) | −85600.3 | − | 91814.8i | −0.499430 | − | 0.535688i | ||||
\(415\) | 16117.5i | 0.0935841i | ||||||||
\(416\) | 12913.5 | + | 26859.2i | 0.0746205 | + | 0.155205i | ||||
\(417\) | −5188.25 | + | 5359.32i | −0.0298366 | + | 0.0308204i | ||||
\(418\) | −114975. | − | 131634.i | −0.658038 | − | 0.753380i | ||||
\(419\) | 73320.7 | − | 42331.7i | 0.417637 | − | 0.241123i | −0.276429 | − | 0.961034i | \(-0.589151\pi\) |
0.694066 | + | 0.719912i | \(0.255818\pi\) | |||||||
\(420\) | −50467.5 | + | 126179.i | −0.286097 | + | 0.715301i | ||||
\(421\) | 57849.8 | − | 100199.i | 0.326391 | − | 0.565325i | −0.655402 | − | 0.755280i | \(-0.727501\pi\) |
0.981793 | + | 0.189955i | \(0.0608341\pi\) | |||||||
\(422\) | 13371.2 | + | 67930.7i | 0.0750837 | + | 0.381453i | ||||
\(423\) | −337527. | + | 10951.3i | −1.88637 | + | 0.0612047i | ||||
\(424\) | −48434.4 | + | 31944.6i | −0.269415 | + | 0.177691i | ||||
\(425\) | 35777.9 | − | 61969.1i | 0.198078 | − | 0.343081i | ||||
\(426\) | 47279.3 | + | 2424.28i | 0.260527 | + | 0.0133587i | ||||
\(427\) | −101565. | + | 58638.4i | −0.557041 | + | 0.321608i | ||||
\(428\) | 61306.3 | − | 79238.3i | 0.334671 | − | 0.432561i | ||||
\(429\) | −4871.80 | − | 17069.6i | −0.0264713 | − | 0.0927489i | ||||
\(430\) | −149853. | − | 51202.3i | −0.810453 | − | 0.276919i | ||||
\(431\) | − | 294896.i | − | 1.58750i | −0.608241 | − | 0.793752i | \(-0.708125\pi\) | ||
0.608241 | − | 0.793752i | \(-0.291875\pi\) | |||||||
\(432\) | 165281. | + | 86665.3i | 0.885634 | + | 0.464384i | ||||
\(433\) | −151284. | −0.806895 | −0.403447 | − | 0.915003i | \(-0.632188\pi\) | ||||
−0.403447 | + | 0.915003i | \(0.632188\pi\) | |||||||
\(434\) | −72690.4 | + | 212742.i | −0.385920 | + | 1.12947i | ||||
\(435\) | 132606. | − | 37846.8i | 0.700784 | − | 0.200010i | ||||
\(436\) | −43694.6 | − | 33806.3i | −0.229855 | − | 0.177838i | ||||
\(437\) | 124897. | + | 216328.i | 0.654017 | + | 1.13279i | ||||
\(438\) | 17459.3 | − | 340498.i | 0.0910076 | − | 1.77487i | ||||
\(439\) | −17332.7 | − | 10007.1i | −0.0899369 | − | 0.0519251i | 0.454357 | − | 0.890820i | \(-0.349869\pi\) |
−0.544294 | + | 0.838895i | \(0.683202\pi\) | |||||||
\(440\) | −50509.0 | − | 76581.8i | −0.260893 | − | 0.395567i | ||||
\(441\) | −29298.0 | − | 15671.0i | −0.150647 | − | 0.0805788i | ||||
\(442\) | 46013.9 | − | 9057.19i | 0.235529 | − | 0.0463606i | ||||
\(443\) | 33466.7 | + | 19322.0i | 0.170532 | + | 0.0984567i | 0.582837 | − | 0.812589i | \(-0.301943\pi\) |
−0.412305 | + | 0.911046i | \(0.635276\pi\) | |||||||
\(444\) | 187455. | + | 74975.9i | 0.950893 | + | 0.380326i | ||||
\(445\) | −85486.7 | − | 148067.i | −0.431696 | − | 0.747720i | ||||
\(446\) | 193014. | − | 168587.i | 0.970327 | − | 0.847530i | ||||
\(447\) | −20192.8 | − | 19548.2i | −0.101060 | − | 0.0978345i | ||||
\(448\) | 146314. | − | 109509.i | 0.729005 | − | 0.545626i | ||||
\(449\) | 79457.9 | 0.394135 | 0.197067 | − | 0.980390i | \(-0.436858\pi\) | ||||
0.197067 | + | 0.980390i | \(0.436858\pi\) | |||||||
\(450\) | −55034.8 | − | 16832.3i | −0.271777 | − | 0.0831223i | ||||
\(451\) | 104930.i | 0.515878i | ||||||||
\(452\) | 5476.55 | − | 40351.8i | 0.0268059 | − | 0.197509i | ||||
\(453\) | 79962.2 | + | 20041.8i | 0.389662 | + | 0.0976655i | ||||
\(454\) | 41249.5 | − | 36029.3i | 0.200128 | − | 0.174801i | ||||
\(455\) | 23786.4 | − | 13733.1i | 0.114896 | − | 0.0663354i | ||||
\(456\) | −281700. | − | 241995.i | −1.35474 | − | 1.16379i | ||||
\(457\) | 131776. | − | 228243.i | 0.630963 | − | 1.09286i | −0.356392 | − | 0.934337i | \(-0.615993\pi\) |
0.987355 | − | 0.158524i | \(-0.0506735\pi\) | |||||||
\(458\) | −259000. | + | 50980.5i | −1.23472 | + | 0.243037i | ||||
\(459\) | 197312. | − | 217510.i | 0.936546 | − | 1.03241i | ||||
\(460\) | 49691.0 | + | 121334.i | 0.234834 | + | 0.573411i | ||||
\(461\) | 100305. | − | 173733.i | 0.471976 | − | 0.817487i | −0.527510 | − | 0.849549i | \(-0.676874\pi\) |
0.999486 | + | 0.0320624i | \(0.0102075\pi\) | |||||||
\(462\) | −96935.8 | + | 49529.2i | −0.454151 | + | 0.232048i | ||||
\(463\) | −205297. | + | 118528.i | −0.957679 | + | 0.552916i | −0.895458 | − | 0.445146i | \(-0.853152\pi\) |
−0.0622210 | + | 0.998062i | \(0.519818\pi\) | |||||||
\(464\) | −178743. | − | 49428.5i | −0.830220 | − | 0.229584i | ||||
\(465\) | 232596. | + | 58298.2i | 1.07571 | + | 0.269618i | ||||
\(466\) | −81922.2 | + | 239760.i | −0.377250 | + | 1.10409i | ||||
\(467\) | 230464.i | 1.05674i | 0.849014 | + | 0.528371i | \(0.177197\pi\) | ||||
−0.849014 | + | 0.528371i | \(0.822803\pi\) | |||||||
\(468\) | −15419.3 | − | 34422.8i | −0.0703999 | − | 0.157165i | ||||
\(469\) | −3025.13 | −0.0137530 | ||||||||
\(470\) | 333787. | + | 114050.i | 1.51103 | + | 0.516295i | ||||
\(471\) | −136463. | − | 132107.i | −0.615140 | − | 0.595505i | ||||
\(472\) | 129565. | − | 258809.i | 0.581571 | − | 1.16170i | ||||
\(473\) | −63424.1 | − | 109854.i | −0.283486 | − | 0.491013i | ||||
\(474\) | −85520.5 | + | 132016.i | −0.380639 | + | 0.587584i | ||||
\(475\) | 99180.5 | + | 57261.9i | 0.439581 | + | 0.253792i | ||||
\(476\) | −108992. | − | 266133.i | −0.481039 | − | 1.17459i | ||||
\(477\) | 62369.7 | − | 38758.9i | 0.274118 | − | 0.170347i | ||||
\(478\) | −245.315 | − | 1246.29i | −0.00107366 | − | 0.00545461i | ||||
\(479\) | 2079.74 | + | 1200.74i | 0.00906438 | + | 0.00523332i | 0.504525 | − | 0.863397i | \(-0.331668\pi\) |
−0.495461 | + | 0.868630i | \(0.665001\pi\) | |||||||
\(480\) | −129436. | − | 145752.i | −0.561788 | − | 0.632606i | ||||
\(481\) | −20402.3 | − | 35337.7i | −0.0881836 | − | 0.152739i | ||||
\(482\) | 67113.8 | + | 76837.7i | 0.288880 | + | 0.330735i | ||||
\(483\) | 149606. | − | 42698.8i | 0.641290 | − | 0.183029i | ||||
\(484\) | −21621.7 | + | 159311.i | −0.0922997 | + | 0.680074i | ||||
\(485\) | 140981. | 0.599347 | ||||||||
\(486\) | −206143. | − | 115297.i | −0.872764 | − | 0.488143i | ||||
\(487\) | 405227.i | 1.70860i | 0.519781 | + | 0.854300i | \(0.326014\pi\) | ||||
−0.519781 | + | 0.854300i | \(0.673986\pi\) | |||||||
\(488\) | −9995.75 | − | 167923.i | −0.0419736 | − | 0.705132i | ||||
\(489\) | −105646. | − | 370158.i | −0.441810 | − | 1.54799i | ||||
\(490\) | 22830.0 | + | 26137.8i | 0.0950855 | + | 0.108862i | ||||
\(491\) | 111325. | − | 64273.4i | 0.461773 | − | 0.266605i | −0.251016 | − | 0.967983i | \(-0.580765\pi\) |
0.712790 | + | 0.701378i | \(0.247431\pi\) | |||||||
\(492\) | 31801.3 | + | 220680.i | 0.131376 | + | 0.911660i | ||||
\(493\) | −145913. | + | 252729.i | −0.600345 | + | 1.03983i | ||||
\(494\) | 14495.9 | + | 73644.5i | 0.0594006 | + | 0.301777i | ||||
\(495\) | 61283.4 | + | 98615.6i | 0.250111 | + | 0.402472i | ||||
\(496\) | −226194. | − | 229839.i | −0.919429 | − | 0.934244i | ||||
\(497\) | −29337.5 | + | 50814.1i | −0.118771 | + | 0.205717i | ||||
\(498\) | −14914.9 | + | 23023.7i | −0.0601396 | + | 0.0928361i | ||||
\(499\) | −111377. | + | 64303.6i | −0.447296 | + | 0.258246i | −0.706687 | − | 0.707526i | \(-0.749811\pi\) |
0.259392 | + | 0.965772i | \(0.416478\pi\) | |||||||
\(500\) | 214832. | + | 166214.i | 0.859326 | + | 0.664857i | ||||
\(501\) | −69161.6 | + | 71442.0i | −0.275543 | + | 0.284628i | ||||
\(502\) | −155144. | − | 53010.3i | −0.615642 | − | 0.210355i | ||||
\(503\) | − | 368128.i | − | 1.45500i | −0.686109 | − | 0.727499i | \(-0.740683\pi\) | ||
0.686109 | − | 0.727499i | \(-0.259317\pi\) | |||||||
\(504\) | −188856. | + | 133544.i | −0.743481 | + | 0.525731i | ||||
\(505\) | 196411. | 0.770165 | ||||||||
\(506\) | −33957.9 | + | 99383.8i | −0.132629 | + | 0.388163i | ||||
\(507\) | 60640.7 | − | 241942.i | 0.235911 | − | 0.941229i | ||||
\(508\) | −5189.73 | + | 6707.72i | −0.0201102 | + | 0.0259925i | ||||
\(509\) | 40698.4 | + | 70491.6i | 0.157087 | + | 0.272083i | 0.933817 | − | 0.357751i | \(-0.116456\pi\) |
−0.776730 | + | 0.629834i | \(0.783123\pi\) | |||||||
\(510\) | −273150. | + | 139566.i | −1.05017 | + | 0.536585i | ||||
\(511\) | 365955. | + | 211284.i | 1.40148 | + | 0.809143i | ||||
\(512\) | 46510.3 | + | 257985.i | 0.177423 | + | 0.984135i | ||||
\(513\) | 348121. | + | 315795.i | 1.32281 | + | 1.19997i | ||||
\(514\) | −121501. | + | 23915.8i | −0.459890 | + | 0.0905230i | ||||
\(515\) | −207123. | − | 119582.i | −0.780931 | − | 0.450871i | ||||
\(516\) | −166682. | − | 211813.i | −0.626020 | − | 0.795524i | ||||
\(517\) | 141273. | + | 244692.i | 0.528539 | + | 0.915457i | ||||
\(518\) | −188460. | + | 164610.i | −0.702358 | + | 0.613473i | ||||
\(519\) | 47997.1 | − | 191497.i | 0.178189 | − | 0.710931i | ||||
\(520\) | 2341.00 | + | 39327.4i | 0.00865754 | + | 0.145442i | ||||
\(521\) | −17832.5 | −0.0656956 | −0.0328478 | − | 0.999460i | \(-0.510458\pi\) | ||||
−0.0328478 | + | 0.999460i | \(0.510458\pi\) | |||||||
\(522\) | 224449. | + | 68647.2i | 0.823714 | + | 0.251931i | ||||
\(523\) | 51996.2i | 0.190094i | 0.995473 | + | 0.0950470i | \(0.0303001\pi\) | ||||
−0.995473 | + | 0.0950470i | \(0.969700\pi\) | |||||||
\(524\) | −14686.1 | − | 1993.20i | −0.0534866 | − | 0.00725920i | ||||
\(525\) | 49612.8 | − | 51248.6i | 0.180001 | − | 0.185936i | ||||
\(526\) | −46307.3 | + | 40447.0i | −0.167370 | + | 0.146189i | ||||
\(527\) | −439461. | + | 253723.i | −1.58234 | + | 0.913562i | ||||
\(528\) | −1284.25 | − | 156136.i | −0.00460660 | − | 0.560062i | ||||
\(529\) | −64868.3 | + | 112355.i | −0.231804 | + | 0.401496i | ||||
\(530\) | −75255.7 | + | 14813.0i | −0.267909 | + | 0.0527342i | ||||
\(531\) | −172770. | + | 323005.i | −0.612746 | + | 1.14557i | ||||
\(532\) | 425941. | − | 174440.i | 1.50497 | − | 0.616343i | ||||
\(533\) | 22531.1 | − | 39025.1i | 0.0793101 | − | 0.137369i | ||||
\(534\) | 14901.7 | − | 290621.i | 0.0522582 | − | 1.01916i | ||||
\(535\) | 114697. | − | 66220.2i | 0.400722 | − | 0.231357i | ||||
\(536\) | 1942.47 | − | 3880.13i | 0.00676122 | − | 0.0135057i | ||||
\(537\) | 28354.0 | + | 99345.6i | 0.0983255 | + | 0.344508i | ||||
\(538\) | 98429.0 | − | 288070.i | 0.340062 | − | 0.995253i | ||||
\(539\) | 27798.8i | 0.0956862i | ||||||||
\(540\) | 158774. | + | 188827.i | 0.544491 | + | 0.647554i | ||||
\(541\) | −329819. | −1.12689 | −0.563444 | − | 0.826154i | \(-0.690524\pi\) | ||||
−0.563444 | + | 0.826154i | \(0.690524\pi\) | |||||||
\(542\) | 295530. | + | 100978.i | 1.00601 | + | 0.343739i | ||||
\(543\) | 393535. | − | 112318.i | 1.33470 | − | 0.380934i | ||||
\(544\) | 411336. | + | 31090.2i | 1.38995 | + | 0.105057i | ||||
\(545\) | −36515.9 | − | 63247.5i | −0.122939 | − | 0.212936i | ||||
\(546\) | 46687.0 | + | 2393.90i | 0.156607 | + | 0.00803010i | ||||
\(547\) | −306032. | − | 176688.i | −1.02280 | − | 0.590517i | −0.107890 | − | 0.994163i | \(-0.534409\pi\) |
−0.914915 | + | 0.403646i | \(0.867743\pi\) | |||||||
\(548\) | 24700.5 | − | 10115.8i | 0.0822516 | − | 0.0336853i | ||||
\(549\) | 6904.18 | + | 212792.i | 0.0229069 | + | 0.706008i | ||||
\(550\) | 9299.45 | + | 47244.6i | 0.0307420 | + | 0.156181i | ||||
\(551\) | −404489. | − | 233532.i | −1.33230 | − | 0.769206i | ||||
\(552\) | −41296.9 | + | 219307.i | −0.135531 | + | 0.719738i | ||||
\(553\) | −97476.3 | − | 168834.i | −0.318749 | − | 0.552090i | ||||
\(554\) | 12472.5 | + | 14279.6i | 0.0406382 | + | 0.0465262i | ||||
\(555\) | 191757. | + | 185636.i | 0.622537 | + | 0.602666i | ||||
\(556\) | 13140.4 | + | 1783.42i | 0.0425069 | + | 0.00576903i | ||||
\(557\) | −381405. | −1.22935 | −0.614676 | − | 0.788780i | \(-0.710713\pi\) | ||||
−0.614676 | + | 0.788780i | \(0.710713\pi\) | |||||||
\(558\) | 278313. | + | 298519.i | 0.893852 | + | 0.958744i | ||||
\(559\) | 54475.0i | 0.174330i | ||||||||
\(560\) | 233856. | − | 60662.5i | 0.745713 | − | 0.193439i | ||||
\(561\) | −238332. | − | 59735.9i | −0.757281 | − | 0.189806i | ||||
\(562\) | 113700. | + | 130173.i | 0.359987 | + | 0.412144i | ||||
\(563\) | −203807. | + | 117668.i | −0.642988 | + | 0.371229i | −0.785765 | − | 0.618526i | \(-0.787730\pi\) |
0.142776 | + | 0.989755i | \(0.454397\pi\) | |||||||
\(564\) | 371272. | + | 471799.i | 1.16717 | + | 1.48320i | ||||
\(565\) | 26916.0 | − | 46619.9i | 0.0843168 | − | 0.146041i | ||||
\(566\) | 27900.1 | + | 141743.i | 0.0870909 | + | 0.442454i | ||||
\(567\) | 243500. | − | 162497.i | 0.757414 | − | 0.505451i | ||||
\(568\) | −46337.9 | − | 70257.6i | −0.143628 | − | 0.217769i | ||||
\(569\) | 110971. | − | 192208.i | 0.342757 | − | 0.593673i | −0.642186 | − | 0.766549i | \(-0.721972\pi\) |
0.984944 | + | 0.172875i | \(0.0553058\pi\) | |||||||
\(570\) | −223373. | − | 437173.i | −0.687512 | − | 1.34556i | ||||
\(571\) | −34588.3 | + | 19969.5i | −0.106086 | + | 0.0612486i | −0.552104 | − | 0.833775i | \(-0.686175\pi\) |
0.446018 | + | 0.895024i | \(0.352842\pi\) | |||||||
\(572\) | −19311.0 | + | 24959.5i | −0.0590219 | + | 0.0762857i | ||||
\(573\) | −611452. | − | 153255.i | −1.86232 | − | 0.466773i | ||||
\(574\) | −261493. | − | 89348.1i | −0.793664 | − | 0.271182i | ||||
\(575\) | − | 68818.8i | − | 0.208148i | ||||||
\(576\) | −50021.4 | − | 327983.i | −0.150769 | − | 0.988569i | ||||
\(577\) | 511135. | 1.53527 | 0.767634 | − | 0.640889i | \(-0.221434\pi\) | ||||
0.767634 | + | 0.640889i | \(0.221434\pi\) | |||||||
\(578\) | 101862. | − | 298118.i | 0.304900 | − | 0.892345i | ||||
\(579\) | 225370. | + | 218176.i | 0.672262 | + | 0.650804i | ||||
\(580\) | −193899. | − | 150018.i | −0.576393 | − | 0.445953i | ||||
\(581\) | −17000.0 | − | 29444.8i | −0.0503612 | − | 0.0872281i | ||||
\(582\) | 201391. | + | 130462.i | 0.594557 | + | 0.385156i | ||||
\(583\) | −53206.7 | − | 30718.9i | −0.156541 | − | 0.0903793i | ||||
\(584\) | −505985. | + | 333719.i | −1.48358 | + | 0.978486i | ||||
\(585\) | −1616.95 | − | 49835.7i | −0.00472483 | − | 0.145623i | ||||
\(586\) | 377137. | − | 74234.1i | 1.09826 | − | 0.216176i | ||||
\(587\) | 60509.5 | + | 34935.2i | 0.175609 | + | 0.101388i | 0.585228 | − | 0.810869i | \(-0.301005\pi\) |
−0.409619 | + | 0.912257i | \(0.634338\pi\) | |||||||
\(588\) | 8425.04 | + | 58464.1i | 0.0243678 | + | 0.169097i | ||||
\(589\) | −406079. | − | 703350.i | −1.17052 | − | 2.02741i | ||||
\(590\) | 288165. | − | 251697.i | 0.827823 | − | 0.723060i | ||||
\(591\) | −267058. | + | 76220.4i | −0.764592 | + | 0.218221i | ||||
\(592\) | −90121.9 | − | 347423.i | −0.257150 | − | 0.991322i | ||||
\(593\) | 206980. | 0.588599 | 0.294299 | − | 0.955713i | \(-0.404914\pi\) | ||||
0.294299 | + | 0.955713i | \(0.404914\pi\) | |||||||
\(594\) | −3714.26 | + | 197582.i | −0.0105269 | + | 0.559982i | ||||
\(595\) | − | 380174.i | − | 1.07386i | ||||||
\(596\) | −6719.53 | + | 49510.2i | −0.0189167 | + | 0.139381i | ||||
\(597\) | 84629.6 | + | 296522.i | 0.237451 | + | 0.831970i | ||||
\(598\) | 33969.6 | − | 29670.7i | 0.0949923 | − | 0.0829708i | ||||
\(599\) | 241159. | − | 139233.i | 0.672123 | − | 0.388051i | −0.124757 | − | 0.992187i | \(-0.539815\pi\) |
0.796881 | + | 0.604137i | \(0.206482\pi\) | |||||||
\(600\) | 33876.3 | + | 96542.5i | 0.0941009 | + | 0.268174i | ||||
\(601\) | −213736. | + | 370201.i | −0.591737 | + | 1.02492i | 0.402262 | + | 0.915525i | \(0.368224\pi\) |
−0.993999 | + | 0.109393i | \(0.965109\pi\) | |||||||
\(602\) | 327769. | − | 64516.8i | 0.904430 | − | 0.178024i | ||||
\(603\) | −2590.22 | + | 4842.58i | −0.00712365 | + | 0.0133181i | ||||
\(604\) | −55541.6 | − | 135620.i | −0.152246 | − | 0.371748i | ||||
\(605\) | −106266. | + | 184058.i | −0.290325 | + | 0.502857i | ||||
\(606\) | 280572. | + | 181755.i | 0.764009 | + | 0.494928i | ||||
\(607\) | 361479. | − | 208700.i | 0.981082 | − | 0.566428i | 0.0784853 | − | 0.996915i | \(-0.474992\pi\) |
0.902597 | + | 0.430487i | \(0.141658\pi\) | |||||||
\(608\) | −49759.4 | + | 658337.i | −0.134607 | + | 1.78091i | ||||
\(609\) | −202336. | + | 209008.i | −0.545556 | + | 0.563544i | ||||
\(610\) | 71901.8 | − | 210434.i | 0.193232 | − | 0.565530i | ||||
\(611\) | − | 121339.i | − | 0.325026i | ||||||
\(612\) | −519344. | − | 53399.8i | −1.38660 | − | 0.142573i | ||||
\(613\) | −23327.6 | −0.0620796 | −0.0310398 | − | 0.999518i | \(-0.509882\pi\) | ||||
−0.0310398 | + | 0.999518i | \(0.509882\pi\) | |||||||
\(614\) | −532347. | − | 181895.i | −1.41208 | − | 0.482484i | ||||
\(615\) | −71657.8 | + | 285898.i | −0.189458 | + | 0.755894i | ||||
\(616\) | 173049. | + | 86631.5i | 0.456044 | + | 0.228305i | ||||
\(617\) | −39385.7 | − | 68218.0i | −0.103459 | − | 0.179196i | 0.809649 | − | 0.586915i | \(-0.199658\pi\) |
−0.913108 | + | 0.407719i | \(0.866324\pi\) | |||||||
\(618\) | −185213. | − | 362489.i | −0.484948 | − | 0.949114i | ||||
\(619\) | −382655. | − | 220926.i | −0.998679 | − | 0.576587i | −0.0908215 | − | 0.995867i | \(-0.528949\pi\) |
−0.907857 | + | 0.419280i | \(0.862283\pi\) | |||||||
\(620\) | −161561. | − | 394494.i | −0.420293 | − | 1.02626i | ||||
\(621\) | 59746.4 | − | 276047.i | 0.154928 | − | 0.715814i | ||||
\(622\) | −126279. | − | 641545.i | −0.326401 | − | 1.65824i | ||||
\(623\) | 312348. | + | 180334.i | 0.804753 | + | 0.464625i | ||||
\(624\) | −33048.8 | + | 58345.2i | −0.0848762 | + | 0.149843i | ||||
\(625\) | 124028. | + | 214823.i | 0.317512 | + | 0.549947i | ||||
\(626\) | −134964. | − | 154518.i | −0.344404 | − | 0.394304i | ||||
\(627\) | 95606.4 | − | 381447.i | 0.243193 | − | 0.970285i | ||||
\(628\) | −45410.7 | + | 334591.i | −0.115143 | + | 0.848390i | ||||
\(629\) | −564798. | −1.42755 | ||||||||
\(630\) | −297940. | + | 68751.3i | −0.750667 | + | 0.173221i | ||||
\(631\) | 211599.i | 0.531440i | 0.964050 | + | 0.265720i | \(0.0856097\pi\) | ||||
−0.964050 | + | 0.265720i | \(0.914390\pi\) | |||||||
\(632\) | 279143. | − | 16616.2i | 0.698864 | − | 0.0416005i | ||||
\(633\) | −108350. | + | 111923.i | −0.270410 | + | 0.279325i | ||||
\(634\) | −73809.9 | − | 84504.1i | −0.183627 | − | 0.210232i | ||||
\(635\) | −9709.36 | + | 5605.70i | −0.0240793 | + | 0.0139022i | ||||
\(636\) | −121210. | − | 48479.9i | −0.299656 | − | 0.119853i | ||||
\(637\) | 5969.11 | − | 10338.8i | 0.0147106 | − | 0.0254795i | ||||
\(638\) | −37926.0 | − | 192678.i | −0.0931743 | − | 0.473360i | ||||
\(639\) | 56222.6 | + | 90471.9i | 0.137692 | + | 0.221570i | ||||
\(640\) | −72353.7 | + | 338903.i | −0.176645 | + | 0.827401i | ||||
\(641\) | 2552.74 | − | 4421.47i | 0.00621284 | − | 0.0107610i | −0.862902 | − | 0.505371i | \(-0.831356\pi\) |
0.869115 | + | 0.494610i | \(0.164689\pi\) | |||||||
\(642\) | 225122. | + | 11543.3i | 0.546195 | + | 0.0280065i | ||||
\(643\) | 69127.8 | − | 39911.0i | 0.167198 | − | 0.0965318i | −0.414066 | − | 0.910247i | \(-0.635892\pi\) |
0.581264 | + | 0.813715i | \(0.302558\pi\) | |||||||
\(644\) | −218756. | − | 169251.i | −0.527459 | − | 0.408093i | ||||
\(645\) | −97788.2 | − | 342626.i | −0.235054 | − | 0.823570i | ||||
\(646\) | 983109. | + | 335913.i | 2.35579 | + | 0.804936i | ||||
\(647\) | 531516.i | 1.26972i | 0.772628 | + | 0.634859i | \(0.218942\pi\) | ||||
−0.772628 | + | 0.634859i | \(0.781058\pi\) | |||||||
\(648\) | 52069.9 | + | 416663.i | 0.124004 | + | 0.992282i | ||||
\(649\) | 306477. | 0.727627 | ||||||||
\(650\) | 6686.01 | − | 19567.8i | 0.0158249 | − | 0.0463143i | ||||
\(651\) | −486416. | + | 138827.i | −1.14775 | + | 0.327576i | ||||
\(652\) | −418763. | + | 541251.i | −0.985085 | + | 1.27322i | ||||
\(653\) | 235615. | + | 408097.i | 0.552556 | + | 0.957055i | 0.998089 | + | 0.0617897i | \(0.0196808\pi\) |
−0.445533 | + | 0.895265i | \(0.646986\pi\) | |||||||
\(654\) | 6365.33 | − | 124140.i | 0.0148821 | − | 0.290238i | ||||
\(655\) | −16967.4 | − | 9796.15i | −0.0395488 | − | 0.0228335i | ||||
\(656\) | 282509. | − | 278029.i | 0.656485 | − | 0.646074i | ||||
\(657\) | 651564. | − | 404906.i | 1.50948 | − | 0.938045i | ||||
\(658\) | −730082. | + | 143707.i | −1.68624 | + | 0.331913i | ||||
\(659\) | 309469. | + | 178672.i | 0.712601 | + | 0.411420i | 0.812023 | − | 0.583625i | \(-0.198366\pi\) |
−0.0994224 | + | 0.995045i | \(0.531700\pi\) | |||||||
\(660\) | 76653.8 | − | 191650.i | 0.175973 | − | 0.439969i | ||||
\(661\) | 282792. | + | 489809.i | 0.647237 | + | 1.12105i | 0.983780 | + | 0.179380i | \(0.0574090\pi\) |
−0.336543 | + | 0.941668i | \(0.609258\pi\) | |||||||
\(662\) | −339790. | + | 296789.i | −0.775345 | + | 0.677223i | ||||
\(663\) | 75812.5 | + | 73392.6i | 0.172470 | + | 0.166965i | ||||
\(664\) | 48682.8 | − | 2897.89i | 0.110418 | − | 0.00657272i | ||||
\(665\) | 608463. | 1.37591 | ||||||||
\(666\) | 102139. | + | 442628.i | 0.230273 | + | 0.997907i | ||||
\(667\) | 280664.i | 0.630864i | ||||||||
\(668\) | 175167. | + | 23773.7i | 0.392554 | + | 0.0532775i | ||||
\(669\) | 559314. | + | 140187.i | 1.24969 | + | 0.313225i | ||||
\(670\) | 4320.25 | − | 3773.51i | 0.00962408 | − | 0.00840613i | ||||
\(671\) | 154264. | − | 89064.5i | 0.342626 | − | 0.197815i | ||||
\(672\) | 390197. | + | 129750.i | 0.864062 | + | 0.287322i | ||||
\(673\) | 158119. | − | 273870.i | 0.349103 | − | 0.604663i | −0.636988 | − | 0.770874i | \(-0.719820\pi\) |
0.986090 | + | 0.166211i | \(0.0531532\pi\) | |||||||
\(674\) | 81710.5 | − | 16083.6i | 0.179870 | − | 0.0354049i | ||||
\(675\) | −39557.8 | − | 123300.i | −0.0868210 | − | 0.270618i | ||||
\(676\) | −410345. | + | 168052.i | −0.897957 | + | 0.367749i | ||||
\(677\) | 300914. | − | 521198.i | 0.656545 | − | 1.13717i | −0.324959 | − | 0.945728i | \(-0.605351\pi\) |
0.981504 | − | 0.191441i | \(-0.0613161\pi\) | |||||||
\(678\) | 81590.5 | − | 41688.6i | 0.177493 | − | 0.0906896i | ||||
\(679\) | −257556. | + | 148700.i | −0.558641 | + | 0.322531i | ||||
\(680\) | 487625. | + | 244115.i | 1.05455 | + | 0.527929i | ||||
\(681\) | 119533. | + | 29959.8i | 0.257746 | + | 0.0646018i | ||||
\(682\) | 110408. | − | 323128.i | 0.237372 | − | 0.694713i | ||||
\(683\) | − | 385277.i | − | 0.825909i | −0.910752 | − | 0.412955i | \(-0.864497\pi\) | ||
0.910752 | − | 0.412955i | \(-0.135503\pi\) | |||||||
\(684\) | 85465.5 | − | 831202.i | 0.182675 | − | 1.77662i | ||||
\(685\) | 35285.0 | 0.0751984 | ||||||||
\(686\) | −474775. | − | 162223.i | −1.00888 | − | 0.344718i | ||||
\(687\) | −426728. | − | 413107.i | −0.904144 | − | 0.875284i | ||||
\(688\) | −127713. | + | 461835.i | −0.269810 | + | 0.975685i | ||||
\(689\) | 13192.2 | + | 22849.6i | 0.0277895 | + | 0.0481328i | ||||
\(690\) | −160393. | + | 247596.i | −0.336890 | + | 0.520050i | ||||
\(691\) | 397767. | + | 229651.i | 0.833053 | + | 0.480963i | 0.854897 | − | 0.518798i | \(-0.173620\pi\) |
−0.0218438 | + | 0.999761i | \(0.506954\pi\) | |||||||
\(692\) | −324788. | + | 133014.i | −0.678247 | + | 0.277769i | ||||
\(693\) | −215972. | − | 115520.i | −0.449709 | − | 0.240543i | ||||
\(694\) | 124541. | + | 632712.i | 0.258578 | + | 1.31367i | ||||
\(695\) | 15181.6 | + | 8765.10i | 0.0314303 | + | 0.0181463i | ||||
\(696\) | −138158. | − | 393730.i | −0.285205 | − | 0.812793i | ||||
\(697\) | −311866. | − | 540168.i | −0.641952 | − | 1.11189i | ||||
\(698\) | −582807. | − | 667248.i | −1.19623 | − | 1.36955i | ||||
\(699\) | −548191. | + | 156458.i | −1.12196 | + | 0.320217i | ||||
\(700\) | −125655. | − | 17054.0i | −0.256440 | − | 0.0348040i | ||||
\(701\) | −127011. | −0.258467 | −0.129234 | − | 0.991614i | \(-0.541252\pi\) | ||||
−0.129234 | + | 0.991614i | \(0.541252\pi\) | |||||||
\(702\) | 43807.2 | − | 72686.1i | 0.0888937 | − | 0.147495i | ||||
\(703\) | − | 903950.i | − | 1.82908i | ||||||
\(704\) | −222233. | + | 166331.i | −0.448398 | + | 0.335605i | ||||
\(705\) | 217816. | + | 763175.i | 0.438240 | + | 1.53549i | ||||
\(706\) | 575716. | + | 659130.i | 1.15504 | + | 1.32240i | ||||
\(707\) | −358820. | + | 207165.i | −0.717857 | + | 0.414455i | ||||
\(708\) | 644557. | − | 92884.5i | 1.28586 | − | 0.185301i | ||||
\(709\) | −247408. | + | 428523.i | −0.492177 | + | 0.852475i | −0.999959 | − | 0.00901014i | \(-0.997132\pi\) |
0.507783 | + | 0.861485i | \(0.330465\pi\) | |||||||
\(710\) | −21487.4 | − | 109164.i | −0.0426253 | − | 0.216552i | ||||
\(711\) | −353730. | + | 11477.0i | −0.699733 | + | 0.0227033i | ||||
\(712\) | −431865. | + | 284834.i | −0.851900 | + | 0.561864i | ||||
\(713\) | −244018. | + | 422652.i | −0.480002 | + | 0.831388i | ||||
\(714\) | 351806. | − | 543076.i | 0.690092 | − | 1.06528i | ||||
\(715\) | −36128.6 | + | 20858.8i | −0.0706706 | + | 0.0408017i | ||||
\(716\) | 112391. | − | 145265.i | 0.219232 | − | 0.283357i | ||||
\(717\) | 1987.85 | − | 2053.39i | 0.00386674 | − | 0.00399423i | ||||
\(718\) | 3499.77 | + | 1195.82i | 0.00678876 | + | 0.00231961i | ||||
\(719\) | 614613.i | 1.18890i | 0.804134 | + | 0.594448i | \(0.202629\pi\) | ||||
−0.804134 | + | 0.594448i | \(0.797371\pi\) | |||||||
\(720\) | 103128. | − | 426294.i | 0.198935 | − | 0.822326i | ||||
\(721\) | 504518. | 0.970523 | ||||||||
\(722\) | −369076. | + | 1.08017e6i | −0.708013 | + | 2.07213i | ||||
\(723\) | −55807.8 | + | 222660.i | −0.106762 | + | 0.425957i | ||||
\(724\) | −575434. | − | 445210.i | −1.09779 | − | 0.849353i | ||||
\(725\) | 64338.5 | + | 111438.i | 0.122404 | + | 0.212010i | ||||
\(726\) | −322124. | + | 164589.i | −0.611153 | + | 0.312268i | ||||
\(727\) | 286999. | + | 165699.i | 0.543014 | + | 0.313509i | 0.746299 | − | 0.665610i | \(-0.231829\pi\) |
−0.203286 | + | 0.979119i | \(0.565162\pi\) | |||||||
\(728\) | −45757.4 | − | 69377.4i | −0.0863373 | − | 0.130905i | ||||
\(729\) | −51629.3 | − | 528927.i | −0.0971495 | − | 0.995270i | ||||
\(730\) | −786182. | + | 154749.i | −1.47529 | + | 0.290390i | ||||
\(731\) | 652999. | + | 377009.i | 1.22202 | + | 0.705532i | ||||
\(732\) | 297442. | − | 234066.i | 0.555112 | − | 0.436833i | ||||
\(733\) | 25808.4 | + | 44701.5i | 0.0480345 | + | 0.0831982i | 0.889043 | − | 0.457824i | \(-0.151371\pi\) |
−0.841008 | + | 0.541022i | \(0.818038\pi\) | |||||||
\(734\) | 122909. | − | 107354.i | 0.228134 | − | 0.199263i | ||||
\(735\) | −18984.1 | + | 75742.1i | −0.0351411 | + | 0.140205i | ||||
\(736\) | 357553. | − | 171906.i | 0.660062 | − | 0.317349i | ||||
\(737\) | 4594.79 | 0.00845923 | ||||||||
\(738\) | −366927. | + | 342092.i | −0.673701 | + | 0.628101i | ||||
\(739\) | − | 228968.i | − | 0.419263i | −0.977780 | − | 0.209631i | \(-0.932774\pi\) | ||
0.977780 | − | 0.209631i | \(-0.0672264\pi\) | |||||||
\(740\) | 63810.8 | − | 470165.i | 0.116528 | − | 0.858592i | ||||
\(741\) | −117464. | + | 121337.i | −0.213928 | + | 0.220981i | ||||
\(742\) | 121859. | − | 106438.i | 0.221335 | − | 0.193325i | ||||
\(743\) | 910009. | − | 525394.i | 1.64842 | − | 0.951716i | 0.670720 | − | 0.741711i | \(-0.265985\pi\) |
0.977700 | − | 0.210005i | \(-0.0673480\pi\) | |||||||
\(744\) | 134269. | − | 713036.i | 0.242566 | − | 1.28815i | ||||
\(745\) | −33025.0 | + | 57201.0i | −0.0595018 | + | 0.103060i | ||||
\(746\) | 920459. | − | 181179.i | 1.65397 | − | 0.325560i | ||||
\(747\) | −61690.8 | + | 2001.60i | −0.110555 | + | 0.00358704i | ||||
\(748\) | 165545. | + | 404223.i | 0.295878 | + | 0.722466i | ||||
\(749\) | −139692. | + | 241953.i | −0.249004 | + | 0.431288i | ||||
\(750\) | −31296.2 | + | 610353.i | −0.0556377 | + | 1.08507i | ||||
\(751\) | 233295. | − | 134693.i | 0.413643 | − | 0.238817i | −0.278711 | − | 0.960375i | \(-0.589907\pi\) |
0.692354 | + | 0.721558i | \(0.256574\pi\) | |||||||
\(752\) | 284472. | − | 1.02870e6i | 0.503041 | − | 1.81909i | ||||
\(753\) | −101241. | − | 354724.i | −0.178553 | − | 0.625606i | ||||
\(754\) | −27267.6 | + | 79803.5i | −0.0479627 | + | 0.140372i | ||||
\(755\) | − | 193735.i | − | 0.339870i | ||||||
\(756\) | −489225. | − | 177497.i | −0.855984 | − | 0.310562i | ||||
\(757\) | −476176. | −0.830952 | −0.415476 | − | 0.909604i | \(-0.636385\pi\) | ||||
−0.415476 | + | 0.909604i | \(0.636385\pi\) | |||||||
\(758\) | −702346. | − | 239980.i | −1.22240 | − | 0.417674i | ||||
\(759\) | −227233. | + | 64854.1i | −0.394446 | + | 0.112578i | ||||
\(760\) | −390701. | + | 780436.i | −0.676422 | + | 1.35117i | ||||
\(761\) | −242197. | − | 419498.i | −0.418215 | − | 0.724370i | 0.577545 | − | 0.816359i | \(-0.304011\pi\) |
−0.995760 | + | 0.0919890i | \(0.970678\pi\) | |||||||
\(762\) | −19057.1 | − | 977.166i | −0.0328207 | − | 0.00168290i | ||||
\(763\) | 133421. | + | 77030.4i | 0.229178 | + | 0.132316i | ||||
\(764\) | 424714. | + | 1.03705e6i | 0.727628 | + | 1.77670i | ||||
\(765\) | −608577. | − | 325519.i | −1.03990 | − | 0.556229i | ||||
\(766\) | −46555.3 | − | 236518.i | −0.0793436 | − | 0.403095i | ||||
\(767\) | −113983. | − | 65808.4i | −0.193754 | − | 0.111864i | ||||
\(768\) | −416971. | + | 417166.i | −0.706942 | + | 0.707271i | ||||
\(769\) | −251061. | − | 434851.i | −0.424549 | − | 0.735340i | 0.571830 | − | 0.820372i | \(-0.306234\pi\) |
−0.996378 | + | 0.0850327i | \(0.972901\pi\) | |||||||
\(770\) | 168293. | + | 192677.i | 0.283848 | + | 0.324974i | ||||
\(771\) | −200185. | − | 193796.i | −0.336762 | − | 0.326013i | ||||
\(772\) | 74996.1 | − | 552580.i | 0.125836 | − | 0.927172i | ||||
\(773\) | 435529. | 0.728884 | 0.364442 | − | 0.931226i | \(-0.381260\pi\) | ||||
0.364442 | + | 0.931226i | \(0.381260\pi\) | |||||||
\(774\) | 177370. | − | 579929.i | 0.296073 | − | 0.968039i | ||||
\(775\) | 223752.i | 0.372531i | ||||||||
\(776\) | −25348.1 | − | 425833.i | −0.0420941 | − | 0.707157i | ||||
\(777\) | −546117. | − | 136880.i | −0.904573 | − | 0.226724i | ||||
\(778\) | −31601.0 | − | 36179.6i | −0.0522085 | − | 0.0597729i | ||||
\(779\) | 864530. | − | 499136.i | 1.42464 | − | 0.822516i | ||||
\(780\) | −69660.8 | + | 54818.1i | −0.114498 | + | 0.0901020i | ||||
\(781\) | 44560.0 | − | 77180.2i | 0.0730539 | − | 0.126533i | ||||
\(782\) | −120571. | − | 612543.i | −0.197164 | − | 1.00167i | ||||
\(783\) | 161329. | + | 502857.i | 0.263141 | + | 0.820202i | ||||
\(784\) | 74844.3 | − | 73657.4i | 0.121766 | − | 0.119835i | ||||
\(785\) | −223184. | + | 386566.i | −0.362179 | + | 0.627313i | ||||
\(786\) | −15172.6 | − | 29695.0i | −0.0245593 | − | 0.0480661i | ||||
\(787\) | 371945. | − | 214742.i | 0.600522 | − | 0.346711i | −0.168725 | − | 0.985663i | \(-0.553965\pi\) |
0.769247 | + | 0.638952i | \(0.220632\pi\) | |||||||
\(788\) | 390496. | + | 302125.i | 0.628875 | + | 0.486558i | ||||
\(789\) | −134189. | − | 33633.3i | −0.215557 | − | 0.0540276i | ||||
\(790\) | 349810. | + | 119524.i | 0.560503 | + | 0.191515i | ||||
\(791\) | 113559.i | 0.181496i | ||||||||
\(792\) | 286849. | − | 202837.i | 0.457302 | − | 0.323367i | ||||
\(793\) | −76497.5 | −0.121647 | ||||||||
\(794\) | 41743.7 | − | 122171.i | 0.0662140 | − | 0.193787i | ||||
\(795\) | −123991. | − | 120034.i | −0.196181 | − | 0.189919i | ||||
\(796\) | 335458. | − | 433579.i | 0.529434 | − | 0.684292i | ||||
\(797\) | −362714. | − | 628240.i | −0.571016 | − | 0.989028i | −0.996462 | − | 0.0840446i | \(-0.973216\pi\) |
0.425446 | − | 0.904984i | \(-0.360117\pi\) | |||||||
\(798\) | 869184. | + | 563060.i | 1.36492 | + | 0.884197i | ||||
\(799\) | −1.45451e6 | − | 839761.i | −2.27836 | − | 1.31541i | ||||
\(800\) | 102559. | − | 150220.i | 0.160248 | − | 0.234718i | ||||
\(801\) | 556120. | − | 345594.i | 0.866769 | − | 0.538643i | ||||
\(802\) | 736768. | − | 145023.i | 1.14547 | − | 0.225469i | ||||
\(803\) | −555840. | − | 320914.i | −0.862023 | − | 0.497689i | ||||
\(804\) | 9663.37 | − | 1392.55i | 0.0149492 | − | 0.00215426i | ||||
\(805\) | −182817. | − | 316648.i | −0.282114 | − | 0.488635i | ||||
\(806\) | −110446. | + | 96468.7i | −0.170012 | + | 0.148497i | ||||
\(807\) | 658648. | − | 187984.i | 1.01136 | − | 0.288651i | ||||
\(808\) | −35314.2 | − | 593258.i | −0.0540912 | − | 0.908701i | ||||
\(809\) | 144295. | 0.220473 | 0.110237 | − | 0.993905i | \(-0.464839\pi\) | ||||
0.110237 | + | 0.993905i | \(0.464839\pi\) | |||||||
\(810\) | −145051. | + | 535805.i | −0.221080 | + | 0.816651i | ||||
\(811\) | 321928.i | 0.489460i | 0.969591 | + | 0.244730i | \(0.0786993\pi\) | ||||
−0.969591 | + | 0.244730i | \(0.921301\pi\) | |||||||
\(812\) | 512462. | + | 69551.3i | 0.777230 | + | 0.105486i | ||||
\(813\) | 192852. | + | 675706.i | 0.291771 | + | 1.02230i | ||||
\(814\) | 286247. | − | 250021.i | 0.432008 | − | 0.377336i | ||||
\(815\) | −783456. | + | 452328.i | −1.17950 | + | 0.680987i | ||||
\(816\) | 470669. | + | 799954.i | 0.706862 | + | 1.20139i | ||||
\(817\) | −603397. | + | 1.04511e6i | −0.903980 | + | 1.56574i | ||||
\(818\) | 528044. | − | 103938.i | 0.789156 | − | 0.155334i | ||||
\(819\) | 55518.2 | + | 89338.4i | 0.0827689 | + | 0.133190i | ||||
\(820\) | 484896. | − | 198584.i | 0.721142 | − | 0.295336i | ||||
\(821\) | −453891. | + | 786162.i | −0.673388 | + | 1.16634i | 0.303549 | + | 0.952816i | \(0.401828\pi\) |
−0.976937 | + | 0.213527i | \(0.931505\pi\) | |||||||
\(822\) | 50404.2 | + | 32652.0i | 0.0745974 | + | 0.0483244i | ||||
\(823\) | −730902. | + | 421987.i | −1.07909 | + | 0.623016i | −0.930652 | − | 0.365905i | \(-0.880759\pi\) |
−0.148443 | + | 0.988921i | \(0.547426\pi\) | |||||||
\(824\) | −323957. | + | 647112.i | −0.477126 | + | 0.953070i | ||||
\(825\) | −75355.7 | + | 77840.3i | −0.110715 | + | 0.114366i | ||||
\(826\) | −260966. | + | 763763.i | −0.382493 | + | 1.11943i | ||||
\(827\) | 658309.i | 0.962540i | 0.876572 | + | 0.481270i | \(0.159824\pi\) | ||||
−0.876572 | + | 0.481270i | \(0.840176\pi\) | |||||||
\(828\) | −458241. | + | 205263.i | −0.668395 | + | 0.299399i | ||||
\(829\) | 1.22965e6 | 1.78925 | 0.894625 | − | 0.446818i | \(-0.147443\pi\) | ||||
0.894625 | + | 0.446818i | \(0.147443\pi\) | |||||||
\(830\) | 61007.1 | + | 20845.2i | 0.0885573 | + | 0.0302586i | ||||
\(831\) | −10371.4 | + | 41379.4i | −0.0150188 | + | 0.0599215i | ||||
\(832\) | 118367. | − | 14141.9i | 0.170996 | − | 0.0204297i | ||||
\(833\) | −82621.7 | − | 143105.i | −0.119071 | − | 0.206236i | ||||
\(834\) | 13575.7 | + | 26569.6i | 0.0195178 | + | 0.0381991i | ||||
\(835\) | 202377. | + | 116842.i | 0.290261 | + | 0.167582i | ||||
\(836\) | −646952. | + | 264952.i | −0.925677 | + | 0.379101i | ||||
\(837\) | −194254. | + | 897515.i | −0.277281 | + | 1.28112i | ||||
\(838\) | −65404.3 | − | 332278.i | −0.0931362 | − | 0.473166i | ||||
\(839\) | −45546.9 | − | 26296.5i | −0.0647045 | − | 0.0373572i | 0.467299 | − | 0.884099i | \(-0.345227\pi\) |
−0.532003 | + | 0.846742i | \(0.678561\pi\) | |||||||
\(840\) | 412335. | + | 354217.i | 0.584375 | + | 0.502008i | ||||
\(841\) | 91248.2 | + | 158047.i | 0.129013 | + | 0.223456i | ||||
\(842\) | −304449. | − | 348559.i | −0.429427 | − | 0.491646i | ||||
\(843\) | −94545.8 | + | 377215.i | −0.133042 | + | 0.530804i | ||||
\(844\) | 274421. | + | 37244.4i | 0.385241 | + | 0.0522849i | ||||
\(845\) | −586183. | −0.820956 | ||||||||
\(846\) | −395079. | + | 1.29175e6i | −0.552006 | + | 1.80484i | ||||
\(847\) | − | 448337.i | − | 0.624939i | ||||||
\(848\) | 58273.4 | + | 224646.i | 0.0810362 | + | 0.312397i | ||||
\(849\) | −226081. | + | 233535.i | −0.313653 | + | 0.323994i | ||||
\(850\) | −188290. | − | 215570.i | −0.260608 | − | 0.298367i | ||||
\(851\) | −470421. | + | 271598.i | −0.649572 | + | 0.375031i | ||||
\(852\) | 70323.7 | − | 175824.i | 0.0968774 | − | 0.242213i | ||||
\(853\) | 322258. | − | 558168.i | 0.442900 | − | 0.767126i | −0.555003 | − | 0.831848i | \(-0.687283\pi\) |
0.997903 | + | 0.0647226i | \(0.0206163\pi\) | |||||||
\(854\) | 90598.9 | + | 460276.i | 0.124224 | + | 0.631106i | ||||
\(855\) | 520988. | − | 974019.i | 0.712681 | − | 1.33240i | ||||
\(856\) | −220639. | − | 334534.i | −0.301117 | − | 0.456555i | ||||
\(857\) | −175819. | + | 304528.i | −0.239390 | + | 0.414635i | −0.960539 | − | 0.278144i | \(-0.910281\pi\) |
0.721150 | + | 0.692779i | \(0.243614\pi\) | |||||||
\(858\) | −70911.7 | − | 3636.04i | −0.0963260 | − | 0.00493917i | ||||
\(859\) | 658817. | − | 380368.i | 0.892851 | − | 0.515487i | 0.0179767 | − | 0.999838i | \(-0.494278\pi\) |
0.874874 | + | 0.484351i | \(0.160944\pi\) | |||||||
\(860\) | −387616. | + | 500993.i | −0.524089 | + | 0.677384i | ||||
\(861\) | −170641. | − | 597883.i | −0.230184 | − | 0.806510i | ||||
\(862\) | −1.11623e6 | − | 381396.i | −1.50223 | − | 0.513289i | ||||
\(863\) | − | 363360.i | − | 0.487883i | −0.969790 | − | 0.243942i | \(-0.921559\pi\) | ||
0.969790 | − | 0.243942i | \(-0.0784406\pi\) | |||||||
\(864\) | 541802. | − | 513524.i | 0.725793 | − | 0.687913i | ||||
\(865\) | −463964. | −0.620086 | ||||||||
\(866\) | −195659. | + | 572631.i | −0.260894 | + | 0.763553i | ||||
\(867\) | 681622. | − | 194541.i | 0.906788 | − | 0.258805i | ||||
\(868\) | 711245. | + | 550287.i | 0.944017 | + | 0.730382i | ||||
\(869\) | 148054. | + | 256438.i | 0.196057 | + | 0.339580i | ||||
\(870\) | 28246.7 | − | 550881.i | 0.0373190 | − | 0.727812i | ||||
\(871\) | −1708.87 | − | 986.617i | −0.00225254 | − | 0.00130051i | ||||
\(872\) | −184473. | + | 121668.i | −0.242605 | + | 0.160008i | ||||
\(873\) | 17508.2 | + | 539615.i | 0.0229727 | + | 0.708036i | ||||
\(874\) | 980365. | − | 192971.i | 1.28341 | − | 0.252621i | ||||
\(875\) | −655985. | − | 378733.i | −0.856796 | − | 0.494672i | ||||
\(876\) | −1.26626e6 | − | 506460.i | −1.65011 | − | 0.659990i | ||||
\(877\) | −36035.0 | − | 62414.4i | −0.0468516 | − | 0.0811494i | 0.841649 | − | 0.540026i | \(-0.181585\pi\) |
−0.888500 | + | 0.458876i | \(0.848252\pi\) | |||||||
\(878\) | −60295.0 | + | 52664.5i | −0.0782154 | + | 0.0683171i | ||||
\(879\) | 621371. | + | 601537.i | 0.804216 | + | 0.778546i | ||||
\(880\) | −355198. | + | 92138.7i | −0.458675 | + | 0.118981i | ||||
\(881\) | 1.34754e6 | 1.73616 | 0.868082 | − | 0.496422i | \(-0.165353\pi\) | ||||
0.868082 | + | 0.496422i | \(0.165353\pi\) | |||||||
\(882\) | −97208.9 | + | 90629.3i | −0.124959 | + | 0.116502i | ||||
\(883\) | 675925.i | 0.866916i | 0.901174 | + | 0.433458i | \(0.142707\pi\) | ||||
−0.901174 | + | 0.433458i | \(0.857293\pi\) | |||||||
\(884\) | 25228.0 | − | 185883.i | 0.0322834 | − | 0.237867i | ||||
\(885\) | 835043. | + | 209296.i | 1.06616 | + | 0.267224i | ||||
\(886\) | 116420. | − | 101687.i | 0.148306 | − | 0.129538i | ||||
\(887\) | −888008. | + | 512692.i | −1.12868 | + | 0.651642i | −0.943602 | − | 0.331082i | \(-0.892586\pi\) |
−0.185075 | + | 0.982724i | \(0.559253\pi\) | |||||||
\(888\) | 526235. | − | 612577.i | 0.667350 | − | 0.776845i | ||||
\(889\) | 11825.2 | − | 20481.9i | 0.0149626 | − | 0.0259159i | ||||
\(890\) | −671018. | + | 132081.i | −0.847138 | + | 0.166747i | ||||
\(891\) | −369846. | + | 246813.i | −0.465871 | + | 0.310894i | ||||
\(892\) | −388498. | − | 948622.i | −0.488269 | − | 1.19224i | ||||
\(893\) | 1.34402e6 | − | 2.32792e6i | 1.68540 | − | 2.91921i | ||||
\(894\) | −100109. | + | 51150.3i | −0.125255 | + | 0.0639990i | ||||
\(895\) | 210269. | − | 121399.i | 0.262500 | − | 0.151555i | ||||
\(896\) | −225277. | − | 695452.i | −0.280608 | − | 0.866265i | ||||
\(897\) | 98437.0 | + | 24672.4i | 0.122341 | + | 0.0306638i | ||||
\(898\) | 102765. | − | 300760.i | 0.127436 | − | 0.372964i | ||||
\(899\) | − | 912528.i | − | 1.12908i | ||||||
\(900\) | −134890. | + | 186545.i | −0.166531 | + | 0.230303i | ||||
\(901\) | 365202. | 0.449867 | ||||||||
\(902\) | 397176. | + | 135709.i | 0.488169 | + | 0.166799i | ||||
\(903\) | 540032. | + | 522795.i | 0.662284 | + | 0.641144i | ||||
\(904\) | −145654. | − | 72917.5i | −0.178232 | − | 0.0892267i | ||||
\(905\) | −480895. | − | 832935.i | −0.587156 | − | 1.01698i | ||||
\(906\) | 179278. | − | 276748.i | 0.218409 | − | 0.337154i | ||||
\(907\) | 1.39930e6 | + | 807885.i | 1.70097 | + | 0.982053i | 0.944785 | + | 0.327690i | \(0.106270\pi\) |
0.756181 | + | 0.654363i | \(0.227063\pi\) | |||||||
\(908\) | −83027.1 | − | 202733.i | −0.100704 | − | 0.245896i | ||||
\(909\) | 24391.9 | + | 751776.i | 0.0295201 | + | 0.909831i | ||||
\(910\) | −21218.2 | − | 107796.i | −0.0256227 | − | 0.130173i | ||||
\(911\) | −246841. | − | 142514.i | −0.297427 | − | 0.171719i | 0.343860 | − | 0.939021i | \(-0.388266\pi\) |
−0.641286 | + | 0.767302i | \(0.721599\pi\) | |||||||
\(912\) | −1.28031e6 | + | 753298.i | −1.53931 | + | 0.905684i | ||||
\(913\) | 25820.8 | + | 44723.0i | 0.0309762 | + | 0.0536524i | ||||
\(914\) | −693503. | − | 793983.i | −0.830149 | − | 0.950427i | ||||
\(915\) | 481139. | − | 137321.i | 0.574683 | − | 0.164019i | ||||
\(916\) | −142002. | + | 1.04628e6i | −0.169240 | + | 1.24698i | ||||
\(917\) | 41330.0 | 0.0491503 | ||||||||
\(918\) | −568118. | − | 1.02817e6i | −0.674145 | − | 1.22005i | ||||
\(919\) | 662333.i | 0.784233i | 0.919916 | + | 0.392117i | \(0.128257\pi\) | ||||
−0.919916 | + | 0.392117i | \(0.871743\pi\) | |||||||
\(920\) | 523532. | − | 31163.7i | 0.618540 | − | 0.0368191i | ||||
\(921\) | −347389. | − | 1.21717e6i | −0.409541 | − | 1.43493i | ||||
\(922\) | −527878. | − | 604361.i | −0.620972 | − | 0.710943i | ||||
\(923\) | −33145.1 | + | 19136.3i | −0.0389059 | + | 0.0224623i | ||||
\(924\) | 62105.8 | + | 430973.i | 0.0727425 | + | 0.504785i | ||||
\(925\) | −124520. | + | 215675.i | −0.145531 | + | 0.252067i | ||||
\(926\) | 183131. | + | 930373.i | 0.213570 | + | 1.08501i | ||||
\(927\) | 431986. | − | 807624.i | 0.502702 | − | 0.939832i | ||||
\(928\) | −418267. | + | 612641.i | −0.485688 | + | 0.711394i | ||||
\(929\) | −620275. | + | 1.07435e6i | −0.718708 | + | 1.24484i | 0.242803 | + | 0.970076i | \(0.421933\pi\) |
−0.961512 | + | 0.274764i | \(0.911400\pi\) | |||||||
\(930\) | 521489. | − | 805011.i | 0.602947 | − | 0.930757i | ||||
\(931\) | 229037. | − | 132235.i | 0.264245 | − | 0.152562i | ||||
\(932\) | 801574. | + | 620174.i | 0.922809 | + | 0.713973i | ||||
\(933\) | 1.02327e6 | − | 1.05701e6i | 1.17551 | − | 1.21427i | ||||
\(934\) | 872338. | + | 298064.i | 0.999980 | + | 0.341677i | ||||
\(935\) | 577438.i | 0.660514i | ||||||||
\(936\) | −150237. | + | 13844.3i | −0.171485 | + | 0.0158023i | ||||
\(937\) | −593717. | −0.676239 | −0.338119 | − | 0.941103i | \(-0.609791\pi\) | ||||
−0.338119 | + | 0.941103i | \(0.609791\pi\) | |||||||
\(938\) | −3912.47 | + | 11450.5i | −0.00444677 | + | 0.0130143i | ||||
\(939\) | 112228. | − | 447762.i | 0.127283 | − | 0.507828i | ||||
\(940\) | 863388. | − | 1.11593e6i | 0.977125 | − | 1.26293i | ||||
\(941\) | 613509. | + | 1.06263e6i | 0.692854 | + | 1.20006i | 0.970899 | + | 0.239491i | \(0.0769804\pi\) |
−0.278044 | + | 0.960568i | \(0.589686\pi\) | |||||||
\(942\) | −676537. | + | 345675.i | −0.762412 | + | 0.389553i | ||||
\(943\) | −519507. | − | 299938.i | −0.584209 | − | 0.337293i | ||||
\(944\) | −812060. | − | 825145.i | −0.911264 | − | 0.925947i | ||||
\(945\) | −509559. | − | 462242.i | −0.570599 | − | 0.517614i | ||||
\(946\) | −497840. | + | 97992.9i | −0.556298 | + | 0.109500i | ||||
\(947\) | −1.48474e6 | − | 857213.i | −1.65558 | − | 0.955848i | −0.974720 | − | 0.223431i | \(-0.928274\pi\) |
−0.680857 | − | 0.732416i | \(-0.738393\pi\) | |||||||
\(948\) | 389094. | + | 494447.i | 0.432950 | + | 0.550178i | ||||
\(949\) | 137817. | + | 238706.i | 0.153027 | + | 0.265051i | ||||
\(950\) | 345017. | − | 301354.i | 0.382290 | − | 0.333911i | ||||
\(951\) | 61375.9 | − | 244875.i | 0.0678636 | − | 0.270760i | ||||
\(952\) | −1.14831e6 | + | 68354.3i | −1.26703 | + | 0.0754210i | ||||
\(953\) | −1.23751e6 | −1.36258 | −0.681290 | − | 0.732014i | \(-0.738581\pi\) | ||||
−0.681290 | + | 0.732014i | \(0.738581\pi\) | |||||||
\(954\) | −66043.7 | − | 286206.i | −0.0725662 | − | 0.314472i | ||||
\(955\) | 1.48144e6i | 1.62434i | ||||||||
\(956\) | −5034.67 | − | 683.305i | −0.00550877 | − | 0.000747651i | ||||
\(957\) | 307324. | − | 317457.i | 0.335562 | − | 0.346626i | ||||
\(958\) | 7234.74 | − | 6319.17i | 0.00788301 | − | 0.00688540i | ||||
\(959\) | −64461.5 | + | 37216.8i | −0.0700911 | + | 0.0404671i | ||||
\(960\) | −719096. | + | 301428.i | −0.780269 | + | 0.327071i | ||||
\(961\) | 331619. | − | 574381.i | 0.359081 | − | 0.621947i | ||||
\(962\) | −160145. | + | 31522.3i | −0.173047 | + | 0.0340619i | ||||
\(963\) | 267706. | + | 430785.i | 0.288672 | + | 0.464523i | ||||
\(964\) | 377642. | − | 154659.i | 0.406374 | − | 0.166426i | ||||
\(965\) | 368589. | − | 638416.i | 0.395811 | − | 0.685565i | ||||
\(966\) | 31868.0 | − | 621503.i | 0.0341507 | − | 0.666023i | ||||
\(967\) | −858506. | + | 495659.i | −0.918101 | + | 0.530066i | −0.883029 | − | 0.469319i | \(-0.844499\pi\) |
−0.0350720 | + | 0.999385i | \(0.511166\pi\) | |||||||
\(968\) | 575053. | + | 287883.i | 0.613701 | + | 0.307231i | ||||
\(969\) | 641539. | + | 2.24780e6i | 0.683244 | + | 2.39392i | ||||
\(970\) | 182335. | − | 533635.i | 0.193787 | − | 0.567154i | ||||
\(971\) | − | 1.45182e6i | − | 1.53984i | −0.638141 | − | 0.769920i | \(-0.720296\pi\) | ||
0.638141 | − | 0.769920i | \(-0.279704\pi\) | |||||||
\(972\) | −703027. | + | 631165.i | −0.744114 | + | 0.668052i | ||||
\(973\) | −36980.0 | −0.0390608 | ||||||||
\(974\) | 1.53384e6 | + | 524089.i | 1.61682 | + | 0.552443i | ||||
\(975\) | 44740.1 | − | 12769.2i | 0.0470639 | − | 0.0134324i | ||||
\(976\) | −648540. | − | 179343.i | −0.680828 | − | 0.188272i | ||||
\(977\) | −306090. | − | 530163.i | −0.320671 | − | 0.555418i | 0.659956 | − | 0.751304i | \(-0.270575\pi\) |
−0.980627 | + | 0.195886i | \(0.937242\pi\) | |||||||
\(978\) | −1.53774e6 | − | 78848.3i | −1.60770 | − | 0.0824355i | ||||
\(979\) | −474418. | − | 273905.i | −0.494989 | − | 0.285782i | ||||
\(980\) | 128462. | − | 52610.3i | 0.133759 | − | 0.0547796i | ||||
\(981\) | 237549. | − | 147621.i | 0.246839 | − | 0.153395i | ||||
\(982\) | −99305.1 | − | 504507.i | −0.102979 | − | 0.523171i | ||||
\(983\) | 1.04512e6 | + | 603401.i | 1.08158 | + | 0.624452i | 0.931323 | − | 0.364195i | \(-0.118656\pi\) |
0.150259 | + | 0.988647i | \(0.451989\pi\) | |||||||
\(984\) | 876435. | + | 165038.i | 0.905169 | + | 0.170449i | ||||
\(985\) | 326341. | + | 565239.i | 0.336356 | + | 0.582586i | ||||
\(986\) | 767903. | + | 879163.i | 0.789864 | + | 0.904306i | ||||
\(987\) | −1.20288e6 | − | 1.16449e6i | −1.23478 | − | 1.19537i | ||||
\(988\) | 297503. | + | 40377.1i | 0.304773 | + | 0.0413638i | ||||
\(989\) | 725178. | 0.741399 | ||||||||
\(990\) | 452534. | − | 104425.i | 0.461722 | − | 0.106545i | ||||
\(991\) | − | 860509.i | − | 0.876210i | −0.898924 | − | 0.438105i | \(-0.855650\pi\) | ||
0.898924 | − | 0.438105i | \(-0.144350\pi\) | |||||||
\(992\) | −1.16252e6 | + | 558922.i | −1.18134 | + | 0.567973i | ||||
\(993\) | −984642. | − | 246792.i | −0.998573 | − | 0.250284i | ||||
\(994\) | 154396. | + | 176766.i | 0.156265 | + | 0.178906i | ||||
\(995\) | 627601. | − | 362346.i | 0.633924 | − | 0.365996i | ||||
\(996\) | 67858.4 | + | 86232.0i | 0.0684046 | + | 0.0869260i | ||||
\(997\) | 243483. | − | 421725.i | 0.244951 | − | 0.424267i | −0.717167 | − | 0.696901i | \(-0.754562\pi\) |
0.962118 | + | 0.272634i | \(0.0878949\pi\) | |||||||
\(998\) | 99351.8 | + | 504744.i | 0.0997504 | + | 0.506769i | ||||
\(999\) | −686720. | + | 757015.i | −0.688095 | + | 0.758531i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 36.5.f.a.7.14 | ✓ | 44 | |
3.2 | odd | 2 | 108.5.f.a.19.9 | 44 | |||
4.3 | odd | 2 | inner | 36.5.f.a.7.17 | yes | 44 | |
9.2 | odd | 6 | 324.5.d.e.163.21 | 22 | |||
9.4 | even | 3 | inner | 36.5.f.a.31.17 | yes | 44 | |
9.5 | odd | 6 | 108.5.f.a.91.6 | 44 | |||
9.7 | even | 3 | 324.5.d.f.163.2 | 22 | |||
12.11 | even | 2 | 108.5.f.a.19.6 | 44 | |||
36.7 | odd | 6 | 324.5.d.f.163.1 | 22 | |||
36.11 | even | 6 | 324.5.d.e.163.22 | 22 | |||
36.23 | even | 6 | 108.5.f.a.91.9 | 44 | |||
36.31 | odd | 6 | inner | 36.5.f.a.31.14 | yes | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
36.5.f.a.7.14 | ✓ | 44 | 1.1 | even | 1 | trivial | |
36.5.f.a.7.17 | yes | 44 | 4.3 | odd | 2 | inner | |
36.5.f.a.31.14 | yes | 44 | 36.31 | odd | 6 | inner | |
36.5.f.a.31.17 | yes | 44 | 9.4 | even | 3 | inner | |
108.5.f.a.19.6 | 44 | 12.11 | even | 2 | |||
108.5.f.a.19.9 | 44 | 3.2 | odd | 2 | |||
108.5.f.a.91.6 | 44 | 9.5 | odd | 6 | |||
108.5.f.a.91.9 | 44 | 36.23 | even | 6 | |||
324.5.d.e.163.21 | 22 | 9.2 | odd | 6 | |||
324.5.d.e.163.22 | 22 | 36.11 | even | 6 | |||
324.5.d.f.163.1 | 22 | 36.7 | odd | 6 | |||
324.5.d.f.163.2 | 22 | 9.7 | even | 3 |