Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1155,2,Mod(769,1155)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1155, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1155.769");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1155 = 3 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1155.k (of order \(2\), degree \(1\), 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: | \(9.22272143346\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 769.11 | ||
Character | \(\chi\) | \(=\) | 1155.769 |
Dual form | 1155.2.k.a.769.12 |
$q$-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 \(\left(\mathbb{Z}/1155\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(232\) | \(386\) | \(661\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.69546 | −1.19887 | −0.599437 | − | 0.800422i | \(-0.704609\pi\) | ||||
−0.599437 | + | 0.800422i | \(0.704609\pi\) | |||||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | 0.874594 | 0.437297 | ||||||||
\(5\) | 2.22547 | − | 0.217459i | 0.995260 | − | 0.0972508i | ||||
\(6\) | 1.69546 | 0.692170 | ||||||||
\(7\) | 0.698105 | − | 2.55199i | 0.263859 | − | 0.964561i | ||||
\(8\) | 1.90808 | 0.674610 | ||||||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | −3.77320 | + | 0.368694i | −1.19319 | + | 0.116591i | ||||
\(11\) | 3.25064 | − | 0.658292i | 0.980104 | − | 0.198483i | ||||
\(12\) | −0.874594 | −0.252473 | ||||||||
\(13\) | − | 5.21239i | − | 1.44566i | −0.691028 | − | 0.722828i | \(-0.742842\pi\) | ||
0.691028 | − | 0.722828i | \(-0.257158\pi\) | |||||||
\(14\) | −1.18361 | + | 4.32680i | −0.316334 | + | 1.15639i | ||||
\(15\) | −2.22547 | + | 0.217459i | −0.574614 | + | 0.0561477i | ||||
\(16\) | −4.98427 | −1.24607 | ||||||||
\(17\) | − | 3.07632i | − | 0.746118i | −0.927808 | − | 0.373059i | \(-0.878309\pi\) | ||
0.927808 | − | 0.373059i | \(-0.121691\pi\) | |||||||
\(18\) | −1.69546 | −0.399624 | ||||||||
\(19\) | 4.27252 | 0.980184 | 0.490092 | − | 0.871671i | \(-0.336963\pi\) | ||||
0.490092 | + | 0.871671i | \(0.336963\pi\) | |||||||
\(20\) | 1.94638 | − | 0.190189i | 0.435224 | − | 0.0425275i | ||||
\(21\) | −0.698105 | + | 2.55199i | −0.152339 | + | 0.556890i | ||||
\(22\) | −5.51134 | + | 1.11611i | −1.17502 | + | 0.237955i | ||||
\(23\) | − | 6.74583i | − | 1.40660i | −0.710892 | − | 0.703302i | \(-0.751708\pi\) | ||
0.710892 | − | 0.703302i | \(-0.248292\pi\) | |||||||
\(24\) | −1.90808 | −0.389486 | ||||||||
\(25\) | 4.90542 | − | 0.967898i | 0.981085 | − | 0.193580i | ||||
\(26\) | 8.83741i | 1.73316i | ||||||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 0.610559 | − | 2.23195i | 0.115385 | − | 0.421800i | ||||
\(29\) | 0.101717i | 0.0188884i | 0.999955 | + | 0.00944422i | \(0.00300623\pi\) | ||||
−0.999955 | + | 0.00944422i | \(0.996994\pi\) | |||||||
\(30\) | 3.77320 | − | 0.368694i | 0.688889 | − | 0.0673140i | ||||
\(31\) | 6.52719i | 1.17232i | 0.810196 | + | 0.586159i | \(0.199360\pi\) | ||||
−0.810196 | + | 0.586159i | \(0.800640\pi\) | |||||||
\(32\) | 4.63448 | 0.819268 | ||||||||
\(33\) | −3.25064 | + | 0.658292i | −0.565864 | + | 0.114594i | ||||
\(34\) | 5.21579i | 0.894501i | ||||||||
\(35\) | 0.998658 | − | 5.83118i | 0.168804 | − | 0.985650i | ||||
\(36\) | 0.874594 | 0.145766 | ||||||||
\(37\) | 10.8576i | 1.78498i | 0.451063 | + | 0.892492i | \(0.351045\pi\) | ||||
−0.451063 | + | 0.892492i | \(0.648955\pi\) | |||||||
\(38\) | −7.24390 | −1.17512 | ||||||||
\(39\) | 5.21239i | 0.834650i | ||||||||
\(40\) | 4.24638 | − | 0.414931i | 0.671412 | − | 0.0656063i | ||||
\(41\) | −10.0082 | −1.56302 | −0.781509 | − | 0.623894i | \(-0.785550\pi\) | ||||
−0.781509 | + | 0.623894i | \(0.785550\pi\) | |||||||
\(42\) | 1.18361 | − | 4.32680i | 0.182635 | − | 0.667640i | ||||
\(43\) | −6.80409 | −1.03761 | −0.518807 | − | 0.854892i | \(-0.673624\pi\) | ||||
−0.518807 | + | 0.854892i | \(0.673624\pi\) | |||||||
\(44\) | 2.84299 | − | 0.575738i | 0.428597 | − | 0.0867958i | ||||
\(45\) | 2.22547 | − | 0.217459i | 0.331753 | − | 0.0324169i | ||||
\(46\) | 11.4373i | 1.68634i | ||||||||
\(47\) | 6.68431 | 0.975007 | 0.487504 | − | 0.873121i | \(-0.337908\pi\) | ||||
0.487504 | + | 0.873121i | \(0.337908\pi\) | |||||||
\(48\) | 4.98427 | 0.719418 | ||||||||
\(49\) | −6.02530 | − | 3.56312i | −0.860757 | − | 0.509016i | ||||
\(50\) | −8.31696 | + | 1.64103i | −1.17620 | + | 0.232077i | ||||
\(51\) | 3.07632i | 0.430771i | ||||||||
\(52\) | − | 4.55872i | − | 0.632181i | ||||||
\(53\) | 2.30571i | 0.316714i | 0.987382 | + | 0.158357i | \(0.0506197\pi\) | ||||
−0.987382 | + | 0.158357i | \(0.949380\pi\) | |||||||
\(54\) | 1.69546 | 0.230723 | ||||||||
\(55\) | 7.09104 | − | 2.17189i | 0.956156 | − | 0.292858i | ||||
\(56\) | 1.33204 | − | 4.86941i | 0.178002 | − | 0.650702i | ||||
\(57\) | −4.27252 | −0.565909 | ||||||||
\(58\) | − | 0.172458i | − | 0.0226448i | ||||||
\(59\) | − | 7.18644i | − | 0.935595i | −0.883836 | − | 0.467797i | \(-0.845048\pi\) | ||
0.883836 | − | 0.467797i | \(-0.154952\pi\) | |||||||
\(60\) | −1.94638 | + | 0.190189i | −0.251277 | + | 0.0245532i | ||||
\(61\) | 4.40985 | 0.564623 | 0.282312 | − | 0.959323i | \(-0.408899\pi\) | ||||
0.282312 | + | 0.959323i | \(0.408899\pi\) | |||||||
\(62\) | − | 11.0666i | − | 1.40546i | ||||||
\(63\) | 0.698105 | − | 2.55199i | 0.0879530 | − | 0.321520i | ||||
\(64\) | 2.11096 | 0.263870 | ||||||||
\(65\) | −1.13348 | − | 11.6000i | −0.140591 | − | 1.43880i | ||||
\(66\) | 5.51134 | − | 1.11611i | 0.678399 | − | 0.137384i | ||||
\(67\) | 4.25941i | 0.520370i | 0.965559 | + | 0.260185i | \(0.0837835\pi\) | ||||
−0.965559 | + | 0.260185i | \(0.916216\pi\) | |||||||
\(68\) | − | 2.69053i | − | 0.326275i | ||||||
\(69\) | 6.74583i | 0.812103i | ||||||||
\(70\) | −1.69319 | + | 9.88655i | −0.202375 | + | 1.18167i | ||||
\(71\) | −5.83327 | −0.692282 | −0.346141 | − | 0.938182i | \(-0.612508\pi\) | ||||
−0.346141 | + | 0.938182i | \(0.612508\pi\) | |||||||
\(72\) | 1.90808 | 0.224870 | ||||||||
\(73\) | − | 8.09569i | − | 0.947529i | −0.880652 | − | 0.473764i | \(-0.842895\pi\) | ||
0.880652 | − | 0.473764i | \(-0.157105\pi\) | |||||||
\(74\) | − | 18.4087i | − | 2.13997i | ||||||
\(75\) | −4.90542 | + | 0.967898i | −0.566429 | + | 0.111763i | ||||
\(76\) | 3.73672 | 0.428631 | ||||||||
\(77\) | 0.589335 | − | 8.75515i | 0.0671609 | − | 0.997742i | ||||
\(78\) | − | 8.83741i | − | 1.00064i | ||||||
\(79\) | 14.2003i | 1.59766i | 0.601555 | + | 0.798831i | \(0.294548\pi\) | ||||
−0.601555 | + | 0.798831i | \(0.705452\pi\) | |||||||
\(80\) | −11.0923 | + | 1.08388i | −1.24016 | + | 0.121181i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 16.9685 | 1.87386 | ||||||||
\(83\) | 7.09509i | 0.778787i | 0.921071 | + | 0.389394i | \(0.127315\pi\) | ||||
−0.921071 | + | 0.389394i | \(0.872685\pi\) | |||||||
\(84\) | −0.610559 | + | 2.23195i | −0.0666174 | + | 0.243526i | ||||
\(85\) | −0.668975 | − | 6.84626i | −0.0725605 | − | 0.742581i | ||||
\(86\) | 11.5361 | 1.24397 | ||||||||
\(87\) | − | 0.101717i | − | 0.0109052i | ||||||
\(88\) | 6.20249 | − | 1.25608i | 0.661188 | − | 0.133898i | ||||
\(89\) | − | 16.3777i | − | 1.73604i | −0.496533 | − | 0.868018i | \(-0.665394\pi\) | ||
0.496533 | − | 0.868018i | \(-0.334606\pi\) | |||||||
\(90\) | −3.77320 | + | 0.368694i | −0.397730 | + | 0.0388638i | ||||
\(91\) | −13.3020 | − | 3.63880i | −1.39442 | − | 0.381450i | ||||
\(92\) | − | 5.89986i | − | 0.615103i | ||||||
\(93\) | − | 6.52719i | − | 0.676838i | ||||||
\(94\) | −11.3330 | −1.16891 | ||||||||
\(95\) | 9.50836 | − | 0.929100i | 0.975538 | − | 0.0953236i | ||||
\(96\) | −4.63448 | −0.473005 | ||||||||
\(97\) | −2.98755 | −0.303340 | −0.151670 | − | 0.988431i | \(-0.548465\pi\) | ||||
−0.151670 | + | 0.988431i | \(0.548465\pi\) | |||||||
\(98\) | 10.2157 | + | 6.04113i | 1.03194 | + | 0.610246i | ||||
\(99\) | 3.25064 | − | 0.658292i | 0.326701 | − | 0.0661608i | ||||
\(100\) | 4.29025 | − | 0.846517i | 0.429025 | − | 0.0846517i | ||||
\(101\) | 15.2038 | 1.51283 | 0.756415 | − | 0.654092i | \(-0.226949\pi\) | ||||
0.756415 | + | 0.654092i | \(0.226949\pi\) | |||||||
\(102\) | − | 5.21579i | − | 0.516440i | ||||||
\(103\) | −3.93640 | −0.387865 | −0.193933 | − | 0.981015i | \(-0.562124\pi\) | ||||
−0.193933 | + | 0.981015i | \(0.562124\pi\) | |||||||
\(104\) | − | 9.94568i | − | 0.975254i | ||||||
\(105\) | −0.998658 | + | 5.83118i | −0.0974591 | + | 0.569065i | ||||
\(106\) | − | 3.90925i | − | 0.379700i | ||||||
\(107\) | −7.59473 | −0.734210 | −0.367105 | − | 0.930179i | \(-0.619651\pi\) | ||||
−0.367105 | + | 0.930179i | \(0.619651\pi\) | |||||||
\(108\) | −0.874594 | −0.0841578 | ||||||||
\(109\) | − | 8.59953i | − | 0.823686i | −0.911255 | − | 0.411843i | \(-0.864885\pi\) | ||
0.911255 | − | 0.411843i | \(-0.135115\pi\) | |||||||
\(110\) | −12.0226 | + | 3.68236i | −1.14631 | + | 0.351099i | ||||
\(111\) | − | 10.8576i | − | 1.03056i | ||||||
\(112\) | −3.47955 | + | 12.7198i | −0.328786 | + | 1.20191i | ||||
\(113\) | − | 14.1076i | − | 1.32713i | −0.748119 | − | 0.663565i | \(-0.769043\pi\) | ||
0.748119 | − | 0.663565i | \(-0.230957\pi\) | |||||||
\(114\) | 7.24390 | 0.678454 | ||||||||
\(115\) | −1.46694 | − | 15.0126i | −0.136793 | − | 1.39994i | ||||
\(116\) | 0.0889614i | 0.00825986i | ||||||||
\(117\) | − | 5.21239i | − | 0.481886i | ||||||
\(118\) | 12.1843i | 1.12166i | ||||||||
\(119\) | −7.85074 | − | 2.14760i | −0.719676 | − | 0.196870i | ||||
\(120\) | −4.24638 | + | 0.414931i | −0.387640 | + | 0.0378778i | ||||
\(121\) | 10.1333 | − | 4.27974i | 0.921209 | − | 0.389067i | ||||
\(122\) | −7.47674 | −0.676912 | ||||||||
\(123\) | 10.0082 | 0.902409 | ||||||||
\(124\) | 5.70864i | 0.512651i | ||||||||
\(125\) | 10.7064 | − | 3.22076i | 0.957608 | − | 0.288073i | ||||
\(126\) | −1.18361 | + | 4.32680i | −0.105445 | + | 0.385462i | ||||
\(127\) | −10.3710 | −0.920282 | −0.460141 | − | 0.887846i | \(-0.652201\pi\) | ||||
−0.460141 | + | 0.887846i | \(0.652201\pi\) | |||||||
\(128\) | −12.8480 | −1.13561 | ||||||||
\(129\) | 6.80409 | 0.599066 | ||||||||
\(130\) | 1.92178 | + | 19.6674i | 0.168551 | + | 1.72494i | ||||
\(131\) | 8.42169 | 0.735806 | 0.367903 | − | 0.929864i | \(-0.380076\pi\) | ||||
0.367903 | + | 0.929864i | \(0.380076\pi\) | |||||||
\(132\) | −2.84299 | + | 0.575738i | −0.247450 | + | 0.0501116i | ||||
\(133\) | 2.98267 | − | 10.9034i | 0.258630 | − | 0.945447i | ||||
\(134\) | − | 7.22167i | − | 0.623857i | ||||||
\(135\) | −2.22547 | + | 0.217459i | −0.191538 | + | 0.0187159i | ||||
\(136\) | − | 5.86988i | − | 0.503338i | ||||||
\(137\) | 8.59604i | 0.734409i | 0.930140 | + | 0.367205i | \(0.119685\pi\) | ||||
−0.930140 | + | 0.367205i | \(0.880315\pi\) | |||||||
\(138\) | − | 11.4373i | − | 0.973608i | ||||||
\(139\) | −5.01950 | −0.425748 | −0.212874 | − | 0.977080i | \(-0.568282\pi\) | ||||
−0.212874 | + | 0.977080i | \(0.568282\pi\) | |||||||
\(140\) | 0.873420 | − | 5.09992i | 0.0738175 | − | 0.431022i | ||||
\(141\) | −6.68431 | −0.562921 | ||||||||
\(142\) | 9.89010 | 0.829959 | ||||||||
\(143\) | −3.43127 | − | 16.9436i | −0.286938 | − | 1.41689i | ||||
\(144\) | −4.98427 | −0.415356 | ||||||||
\(145\) | 0.0221194 | + | 0.226369i | 0.00183692 | + | 0.0187989i | ||||
\(146\) | 13.7259i | 1.13597i | ||||||||
\(147\) | 6.02530 | + | 3.56312i | 0.496958 | + | 0.293881i | ||||
\(148\) | 9.49602i | 0.780568i | ||||||||
\(149\) | 1.83577i | 0.150392i | 0.997169 | + | 0.0751961i | \(0.0239583\pi\) | ||||
−0.997169 | + | 0.0751961i | \(0.976042\pi\) | |||||||
\(150\) | 8.31696 | − | 1.64103i | 0.679077 | − | 0.133990i | ||||
\(151\) | 18.2332i | 1.48380i | 0.670510 | + | 0.741900i | \(0.266075\pi\) | ||||
−0.670510 | + | 0.741900i | \(0.733925\pi\) | |||||||
\(152\) | 8.15233 | 0.661241 | ||||||||
\(153\) | − | 3.07632i | − | 0.248706i | ||||||
\(154\) | −0.999195 | + | 14.8440i | −0.0805174 | + | 1.19617i | ||||
\(155\) | 1.41940 | + | 14.5260i | 0.114009 | + | 1.16676i | ||||
\(156\) | 4.55872i | 0.364990i | ||||||||
\(157\) | 0.249225 | 0.0198903 | 0.00994516 | − | 0.999951i | \(-0.496834\pi\) | ||||
0.00994516 | + | 0.999951i | \(0.496834\pi\) | |||||||
\(158\) | − | 24.0761i | − | 1.91539i | ||||||
\(159\) | − | 2.30571i | − | 0.182855i | ||||||
\(160\) | 10.3139 | − | 1.00781i | 0.815385 | − | 0.0796745i | ||||
\(161\) | −17.2153 | − | 4.70930i | −1.35675 | − | 0.371145i | ||||
\(162\) | −1.69546 | −0.133208 | ||||||||
\(163\) | − | 6.38148i | − | 0.499836i | −0.968267 | − | 0.249918i | \(-0.919596\pi\) | ||
0.968267 | − | 0.249918i | \(-0.0804037\pi\) | |||||||
\(164\) | −8.75311 | −0.683503 | ||||||||
\(165\) | −7.09104 | + | 2.17189i | −0.552037 | + | 0.169081i | ||||
\(166\) | − | 12.0295i | − | 0.933667i | ||||||
\(167\) | 1.85241i | 0.143344i | 0.997428 | + | 0.0716721i | \(0.0228335\pi\) | ||||
−0.997428 | + | 0.0716721i | \(0.977166\pi\) | |||||||
\(168\) | −1.33204 | + | 4.86941i | −0.102769 | + | 0.375683i | ||||
\(169\) | −14.1690 | −1.08992 | ||||||||
\(170\) | 1.13422 | + | 11.6076i | 0.0869909 | + | 0.890261i | ||||
\(171\) | 4.27252 | 0.326728 | ||||||||
\(172\) | −5.95081 | −0.453745 | ||||||||
\(173\) | − | 1.63810i | − | 0.124542i | −0.998059 | − | 0.0622712i | \(-0.980166\pi\) | ||
0.998059 | − | 0.0622712i | \(-0.0198344\pi\) | |||||||
\(174\) | 0.172458i | 0.0130740i | ||||||||
\(175\) | 0.954438 | − | 13.1943i | 0.0721487 | − | 0.997394i | ||||
\(176\) | −16.2021 | + | 3.28111i | −1.22128 | + | 0.247323i | ||||
\(177\) | 7.18644i | 0.540166i | ||||||||
\(178\) | 27.7678i | 2.08129i | ||||||||
\(179\) | 10.9148 | 0.815812 | 0.407906 | − | 0.913024i | \(-0.366259\pi\) | ||||
0.407906 | + | 0.913024i | \(0.366259\pi\) | |||||||
\(180\) | 1.94638 | − | 0.190189i | 0.145075 | − | 0.0141758i | ||||
\(181\) | − | 22.8005i | − | 1.69475i | −0.530997 | − | 0.847374i | \(-0.678183\pi\) | ||
0.530997 | − | 0.847374i | \(-0.321817\pi\) | |||||||
\(182\) | 22.5530 | + | 6.16944i | 1.67174 | + | 0.457310i | ||||
\(183\) | −4.40985 | −0.325985 | ||||||||
\(184\) | − | 12.8716i | − | 0.948908i | ||||||
\(185\) | 2.36109 | + | 24.1633i | 0.173591 | + | 1.77652i | ||||
\(186\) | 11.0666i | 0.811443i | ||||||||
\(187\) | −2.02512 | − | 10.0000i | −0.148091 | − | 0.731273i | ||||
\(188\) | 5.84606 | 0.426368 | ||||||||
\(189\) | −0.698105 | + | 2.55199i | −0.0507797 | + | 0.185630i | ||||
\(190\) | −16.1211 | + | 1.57525i | −1.16955 | + | 0.114281i | ||||
\(191\) | 12.7993 | 0.926128 | 0.463064 | − | 0.886325i | \(-0.346750\pi\) | ||||
0.463064 | + | 0.886325i | \(0.346750\pi\) | |||||||
\(192\) | −2.11096 | −0.152345 | ||||||||
\(193\) | 15.2983 | 1.10120 | 0.550598 | − | 0.834770i | \(-0.314400\pi\) | ||||
0.550598 | + | 0.834770i | \(0.314400\pi\) | |||||||
\(194\) | 5.06528 | 0.363666 | ||||||||
\(195\) | 1.13348 | + | 11.6000i | 0.0811704 | + | 0.830694i | ||||
\(196\) | −5.26969 | − | 3.11628i | −0.376406 | − | 0.222591i | ||||
\(197\) | −11.7636 | −0.838119 | −0.419060 | − | 0.907959i | \(-0.637640\pi\) | ||||
−0.419060 | + | 0.907959i | \(0.637640\pi\) | |||||||
\(198\) | −5.51134 | + | 1.11611i | −0.391674 | + | 0.0793185i | ||||
\(199\) | 1.92230i | 0.136268i | 0.997676 | + | 0.0681342i | \(0.0217046\pi\) | ||||
−0.997676 | + | 0.0681342i | \(0.978295\pi\) | |||||||
\(200\) | 9.35996 | − | 1.84683i | 0.661849 | − | 0.130591i | ||||
\(201\) | − | 4.25941i | − | 0.300436i | ||||||
\(202\) | −25.7774 | −1.81369 | ||||||||
\(203\) | 0.259582 | + | 0.0710095i | 0.0182191 | + | 0.00498389i | ||||
\(204\) | 2.69053i | 0.188375i | ||||||||
\(205\) | −22.2729 | + | 2.17638i | −1.55561 | + | 0.152005i | ||||
\(206\) | 6.67402 | 0.465001 | ||||||||
\(207\) | − | 6.74583i | − | 0.468868i | ||||||
\(208\) | 25.9800i | 1.80139i | ||||||||
\(209\) | 13.8884 | − | 2.81257i | 0.960682 | − | 0.194549i | ||||
\(210\) | 1.69319 | − | 9.88655i | 0.116841 | − | 0.682237i | ||||
\(211\) | 23.2254i | 1.59890i | 0.600733 | + | 0.799450i | \(0.294876\pi\) | ||||
−0.600733 | + | 0.799450i | \(0.705124\pi\) | |||||||
\(212\) | 2.01656i | 0.138498i | ||||||||
\(213\) | 5.83327 | 0.399689 | ||||||||
\(214\) | 12.8766 | 0.880225 | ||||||||
\(215\) | −15.1423 | + | 1.47961i | −1.03270 | + | 0.100909i | ||||
\(216\) | −1.90808 | −0.129829 | ||||||||
\(217\) | 16.6573 | + | 4.55666i | 1.13077 | + | 0.309327i | ||||
\(218\) | 14.5802i | 0.987495i | ||||||||
\(219\) | 8.09569i | 0.547056i | ||||||||
\(220\) | 6.20178 | − | 1.89952i | 0.418124 | − | 0.128066i | ||||
\(221\) | −16.0350 | −1.07863 | ||||||||
\(222\) | 18.4087i | 1.23551i | ||||||||
\(223\) | 1.61335 | 0.108038 | 0.0540188 | − | 0.998540i | \(-0.482797\pi\) | ||||
0.0540188 | + | 0.998540i | \(0.482797\pi\) | |||||||
\(224\) | 3.23536 | − | 11.8271i | 0.216171 | − | 0.790234i | ||||
\(225\) | 4.90542 | − | 0.967898i | 0.327028 | − | 0.0645265i | ||||
\(226\) | 23.9189i | 1.59106i | ||||||||
\(227\) | 21.2348i | 1.40940i | 0.709505 | + | 0.704700i | \(0.248919\pi\) | ||||
−0.709505 | + | 0.704700i | \(0.751081\pi\) | |||||||
\(228\) | −3.73672 | −0.247470 | ||||||||
\(229\) | 25.4110i | 1.67921i | 0.543201 | + | 0.839603i | \(0.317212\pi\) | ||||
−0.543201 | + | 0.839603i | \(0.682788\pi\) | |||||||
\(230\) | 2.48715 | + | 25.4534i | 0.163998 | + | 1.67835i | ||||
\(231\) | −0.589335 | + | 8.75515i | −0.0387754 | + | 0.576047i | ||||
\(232\) | 0.194085i | 0.0127423i | ||||||||
\(233\) | −1.12193 | −0.0735002 | −0.0367501 | − | 0.999324i | \(-0.511701\pi\) | ||||
−0.0367501 | + | 0.999324i | \(0.511701\pi\) | |||||||
\(234\) | 8.83741i | 0.577720i | ||||||||
\(235\) | 14.8757 | − | 1.45357i | 0.970386 | − | 0.0948202i | ||||
\(236\) | − | 6.28521i | − | 0.409133i | ||||||
\(237\) | − | 14.2003i | − | 0.922411i | ||||||
\(238\) | 13.3106 | + | 3.64117i | 0.862801 | + | 0.236022i | ||||
\(239\) | − | 11.8362i | − | 0.765617i | −0.923828 | − | 0.382809i | \(-0.874957\pi\) | ||
0.923828 | − | 0.382809i | \(-0.125043\pi\) | |||||||
\(240\) | 11.0923 | − | 1.08388i | 0.716008 | − | 0.0699639i | ||||
\(241\) | −13.8181 | −0.890101 | −0.445051 | − | 0.895505i | \(-0.646814\pi\) | ||||
−0.445051 | + | 0.895505i | \(0.646814\pi\) | |||||||
\(242\) | −17.1806 | + | 7.25614i | −1.10441 | + | 0.466442i | ||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | 3.85683 | 0.246908 | ||||||||
\(245\) | −14.1839 | − | 6.61934i | −0.906179 | − | 0.422894i | ||||
\(246\) | −16.9685 | −1.08187 | ||||||||
\(247\) | − | 22.2700i | − | 1.41701i | ||||||
\(248\) | 12.4544i | 0.790857i | ||||||||
\(249\) | − | 7.09509i | − | 0.449633i | ||||||
\(250\) | −18.1523 | + | 5.46067i | −1.14805 | + | 0.345363i | ||||
\(251\) | 19.1296i | 1.20745i | 0.797192 | + | 0.603726i | \(0.206318\pi\) | ||||
−0.797192 | + | 0.603726i | \(0.793682\pi\) | |||||||
\(252\) | 0.610559 | − | 2.23195i | 0.0384616 | − | 0.140600i | ||||
\(253\) | −4.44073 | − | 21.9283i | −0.279186 | − | 1.37862i | ||||
\(254\) | 17.5837 | 1.10330 | ||||||||
\(255\) | 0.668975 | + | 6.84626i | 0.0418928 | + | 0.428729i | ||||
\(256\) | 17.5614 | 1.09759 | ||||||||
\(257\) | −9.95694 | −0.621097 | −0.310549 | − | 0.950558i | \(-0.600513\pi\) | ||||
−0.310549 | + | 0.950558i | \(0.600513\pi\) | |||||||
\(258\) | −11.5361 | −0.718205 | ||||||||
\(259\) | 27.7086 | + | 7.57978i | 1.72173 | + | 0.470984i | ||||
\(260\) | −0.991337 | − | 10.1453i | −0.0614801 | − | 0.629185i | ||||
\(261\) | 0.101717i | 0.00629615i | ||||||||
\(262\) | −14.2787 | −0.882138 | ||||||||
\(263\) | 5.34712 | 0.329718 | 0.164859 | − | 0.986317i | \(-0.447283\pi\) | ||||
0.164859 | + | 0.986317i | \(0.447283\pi\) | |||||||
\(264\) | −6.20249 | + | 1.25608i | −0.381737 | + | 0.0773062i | ||||
\(265\) | 0.501399 | + | 5.13130i | 0.0308007 | + | 0.315213i | ||||
\(266\) | −5.05701 | + | 18.4864i | −0.310065 | + | 1.13347i | ||||
\(267\) | 16.3777i | 1.00230i | ||||||||
\(268\) | 3.72525i | 0.227556i | ||||||||
\(269\) | − | 18.3005i | − | 1.11580i | −0.829908 | − | 0.557900i | \(-0.811607\pi\) | ||
0.829908 | − | 0.557900i | \(-0.188393\pi\) | |||||||
\(270\) | 3.77320 | − | 0.368694i | 0.229630 | − | 0.0224380i | ||||
\(271\) | 28.7953 | 1.74919 | 0.874594 | − | 0.484856i | \(-0.161128\pi\) | ||||
0.874594 | + | 0.484856i | \(0.161128\pi\) | |||||||
\(272\) | 15.3332i | 0.929714i | ||||||||
\(273\) | 13.3020 | + | 3.63880i | 0.805071 | + | 0.220230i | ||||
\(274\) | − | 14.5743i | − | 0.880464i | ||||||
\(275\) | 15.3086 | − | 6.37549i | 0.923143 | − | 0.384456i | ||||
\(276\) | 5.89986i | 0.355130i | ||||||||
\(277\) | 17.5422 | 1.05401 | 0.527005 | − | 0.849862i | \(-0.323315\pi\) | ||||
0.527005 | + | 0.849862i | \(0.323315\pi\) | |||||||
\(278\) | 8.51037 | 0.510418 | ||||||||
\(279\) | 6.52719i | 0.390772i | ||||||||
\(280\) | 1.90552 | − | 11.1264i | 0.113877 | − | 0.664929i | ||||
\(281\) | − | 12.3263i | − | 0.735324i | −0.929960 | − | 0.367662i | \(-0.880158\pi\) | ||
0.929960 | − | 0.367662i | \(-0.119842\pi\) | |||||||
\(282\) | 11.3330 | 0.674870 | ||||||||
\(283\) | 6.91029i | 0.410774i | 0.978681 | + | 0.205387i | \(0.0658453\pi\) | ||||
−0.978681 | + | 0.205387i | \(0.934155\pi\) | |||||||
\(284\) | −5.10175 | −0.302733 | ||||||||
\(285\) | −9.50836 | + | 0.929100i | −0.563227 | + | 0.0550351i | ||||
\(286\) | 5.81760 | + | 28.7272i | 0.344002 | + | 1.69868i | ||||
\(287\) | −6.98678 | + | 25.5408i | −0.412416 | + | 1.50763i | ||||
\(288\) | 4.63448 | 0.273089 | ||||||||
\(289\) | 7.53624 | 0.443308 | ||||||||
\(290\) | −0.0375026 | − | 0.383800i | −0.00220223 | − | 0.0225375i | ||||
\(291\) | 2.98755 | 0.175133 | ||||||||
\(292\) | − | 7.08044i | − | 0.414351i | ||||||
\(293\) | − | 24.3494i | − | 1.42250i | −0.702937 | − | 0.711252i | \(-0.748128\pi\) | ||
0.702937 | − | 0.711252i | \(-0.251872\pi\) | |||||||
\(294\) | −10.2157 | − | 6.04113i | −0.595790 | − | 0.352326i | ||||
\(295\) | −1.56276 | − | 15.9932i | −0.0909873 | − | 0.931160i | ||||
\(296\) | 20.7173i | 1.20417i | ||||||||
\(297\) | −3.25064 | + | 0.658292i | −0.188621 | + | 0.0381980i | ||||
\(298\) | − | 3.11248i | − | 0.180301i | ||||||
\(299\) | −35.1619 | −2.03347 | ||||||||
\(300\) | −4.29025 | + | 0.846517i | −0.247698 | + | 0.0488737i | ||||
\(301\) | −4.74997 | + | 17.3640i | −0.273784 | + | 1.00084i | ||||
\(302\) | − | 30.9138i | − | 1.77889i | ||||||
\(303\) | −15.2038 | −0.873433 | ||||||||
\(304\) | −21.2954 | −1.22138 | ||||||||
\(305\) | 9.81398 | − | 0.958963i | 0.561947 | − | 0.0549100i | ||||
\(306\) | 5.21579i | 0.298167i | ||||||||
\(307\) | 12.5546i | 0.716528i | 0.933620 | + | 0.358264i | \(0.116631\pi\) | ||||
−0.933620 | + | 0.358264i | \(0.883369\pi\) | |||||||
\(308\) | 0.515428 | − | 7.65720i | 0.0293693 | − | 0.436310i | ||||
\(309\) | 3.93640 | 0.223934 | ||||||||
\(310\) | −2.40654 | − | 24.6284i | −0.136682 | − | 1.39880i | ||||
\(311\) | − | 2.57715i | − | 0.146137i | −0.997327 | − | 0.0730683i | \(-0.976721\pi\) | ||
0.997327 | − | 0.0730683i | \(-0.0232791\pi\) | |||||||
\(312\) | 9.94568i | 0.563063i | ||||||||
\(313\) | −13.1184 | −0.741494 | −0.370747 | − | 0.928734i | \(-0.620898\pi\) | ||||
−0.370747 | + | 0.928734i | \(0.620898\pi\) | |||||||
\(314\) | −0.422552 | −0.0238460 | ||||||||
\(315\) | 0.998658 | − | 5.83118i | 0.0562680 | − | 0.328550i | ||||
\(316\) | 12.4195i | 0.698653i | ||||||||
\(317\) | 12.8246i | 0.720304i | 0.932894 | + | 0.360152i | \(0.117275\pi\) | ||||
−0.932894 | + | 0.360152i | \(0.882725\pi\) | |||||||
\(318\) | 3.90925i | 0.219220i | ||||||||
\(319\) | 0.0669597 | + | 0.330646i | 0.00374903 | + | 0.0185126i | ||||
\(320\) | 4.69787 | − | 0.459047i | 0.262619 | − | 0.0256615i | ||||
\(321\) | 7.59473 | 0.423896 | ||||||||
\(322\) | 29.1879 | + | 7.98445i | 1.62658 | + | 0.444956i | ||||
\(323\) | − | 13.1437i | − | 0.731333i | ||||||
\(324\) | 0.874594 | 0.0485885 | ||||||||
\(325\) | −5.04506 | − | 25.5690i | −0.279850 | − | 1.41831i | ||||
\(326\) | 10.8196i | 0.599240i | ||||||||
\(327\) | 8.59953i | 0.475555i | ||||||||
\(328\) | −19.0965 | −1.05443 | ||||||||
\(329\) | 4.66635 | − | 17.0583i | 0.257264 | − | 0.940454i | ||||
\(330\) | 12.0226 | − | 3.68236i | 0.661822 | − | 0.202707i | ||||
\(331\) | −5.60078 | −0.307847 | −0.153923 | − | 0.988083i | \(-0.549191\pi\) | ||||
−0.153923 | + | 0.988083i | \(0.549191\pi\) | |||||||
\(332\) | 6.20532i | 0.340561i | ||||||||
\(333\) | 10.8576i | 0.594995i | ||||||||
\(334\) | − | 3.14070i | − | 0.171851i | ||||||
\(335\) | 0.926248 | + | 9.47918i | 0.0506063 | + | 0.517903i | ||||
\(336\) | 3.47955 | − | 12.7198i | 0.189825 | − | 0.693923i | ||||
\(337\) | −12.6126 | −0.687050 | −0.343525 | − | 0.939144i | \(-0.611621\pi\) | ||||
−0.343525 | + | 0.939144i | \(0.611621\pi\) | |||||||
\(338\) | 24.0230 | 1.30668 | ||||||||
\(339\) | 14.1076i | 0.766219i | ||||||||
\(340\) | −0.585081 | − | 5.98770i | −0.0317305 | − | 0.324728i | ||||
\(341\) | 4.29679 | + | 21.2175i | 0.232684 | + | 1.14899i | ||||
\(342\) | −7.24390 | −0.391705 | ||||||||
\(343\) | −13.2993 | + | 12.8891i | −0.718096 | + | 0.695944i | ||||
\(344\) | −12.9828 | −0.699984 | ||||||||
\(345\) | 1.46694 | + | 15.0126i | 0.0789776 | + | 0.808253i | ||||
\(346\) | 2.77733i | 0.149310i | ||||||||
\(347\) | 2.35408 | 0.126374 | 0.0631869 | − | 0.998002i | \(-0.479874\pi\) | ||||
0.0631869 | + | 0.998002i | \(0.479874\pi\) | |||||||
\(348\) | − | 0.0889614i | − | 0.00476883i | ||||||
\(349\) | −24.6723 | −1.32068 | −0.660338 | − | 0.750969i | \(-0.729587\pi\) | ||||
−0.660338 | + | 0.750969i | \(0.729587\pi\) | |||||||
\(350\) | −1.61821 | + | 22.3704i | −0.0864972 | + | 1.19575i | ||||
\(351\) | 5.21239i | 0.278217i | ||||||||
\(352\) | 15.0650 | − | 3.05084i | 0.802968 | − | 0.162610i | ||||
\(353\) | 31.0238 | 1.65123 | 0.825615 | − | 0.564233i | \(-0.190828\pi\) | ||||
0.825615 | + | 0.564233i | \(0.190828\pi\) | |||||||
\(354\) | − | 12.1843i | − | 0.647590i | ||||||
\(355\) | −12.9818 | + | 1.26850i | −0.689001 | + | 0.0673250i | ||||
\(356\) | − | 14.3239i | − | 0.759163i | ||||||
\(357\) | 7.85074 | + | 2.14760i | 0.415505 | + | 0.113663i | ||||
\(358\) | −18.5057 | −0.978055 | ||||||||
\(359\) | − | 28.0789i | − | 1.48195i | −0.671534 | − | 0.740974i | \(-0.734364\pi\) | ||
0.671534 | − | 0.740974i | \(-0.265636\pi\) | |||||||
\(360\) | 4.24638 | − | 0.414931i | 0.223804 | − | 0.0218688i | ||||
\(361\) | −0.745557 | −0.0392398 | ||||||||
\(362\) | 38.6574i | 2.03179i | ||||||||
\(363\) | −10.1333 | + | 4.27974i | −0.531860 | + | 0.224628i | ||||
\(364\) | −11.6338 | − | 3.18247i | −0.609777 | − | 0.166807i | ||||
\(365\) | −1.76048 | − | 18.0167i | −0.0921479 | − | 0.943037i | ||||
\(366\) | 7.47674 | 0.390815 | ||||||||
\(367\) | 17.9322 | 0.936055 | 0.468027 | − | 0.883714i | \(-0.344965\pi\) | ||||
0.468027 | + | 0.883714i | \(0.344965\pi\) | |||||||
\(368\) | 33.6231i | 1.75272i | ||||||||
\(369\) | −10.0082 | −0.521006 | ||||||||
\(370\) | −4.00315 | − | 40.9680i | −0.208114 | − | 2.12983i | ||||
\(371\) | 5.88416 | + | 1.60963i | 0.305490 | + | 0.0835679i | ||||
\(372\) | − | 5.70864i | − | 0.295979i | ||||||
\(373\) | 7.85662 | 0.406800 | 0.203400 | − | 0.979096i | \(-0.434801\pi\) | ||||
0.203400 | + | 0.979096i | \(0.434801\pi\) | |||||||
\(374\) | 3.43351 | + | 16.9547i | 0.177543 | + | 0.876704i | ||||
\(375\) | −10.7064 | + | 3.22076i | −0.552875 | + | 0.166319i | ||||
\(376\) | 12.7542 | 0.657749 | ||||||||
\(377\) | 0.530190 | 0.0273062 | ||||||||
\(378\) | 1.18361 | − | 4.32680i | 0.0608784 | − | 0.222547i | ||||
\(379\) | 0.747352 | 0.0383889 | 0.0191944 | − | 0.999816i | \(-0.493890\pi\) | ||||
0.0191944 | + | 0.999816i | \(0.493890\pi\) | |||||||
\(380\) | 8.31596 | − | 0.812585i | 0.426600 | − | 0.0416847i | ||||
\(381\) | 10.3710 | 0.531325 | ||||||||
\(382\) | −21.7008 | −1.11031 | ||||||||
\(383\) | −17.0599 | −0.871718 | −0.435859 | − | 0.900015i | \(-0.643555\pi\) | ||||
−0.435859 | + | 0.900015i | \(0.643555\pi\) | |||||||
\(384\) | 12.8480 | 0.655647 | ||||||||
\(385\) | −0.592344 | − | 19.6125i | −0.0301886 | − | 0.999544i | ||||
\(386\) | −25.9377 | −1.32019 | ||||||||
\(387\) | −6.80409 | −0.345871 | ||||||||
\(388\) | −2.61289 | −0.132650 | ||||||||
\(389\) | −18.0537 | −0.915360 | −0.457680 | − | 0.889117i | \(-0.651319\pi\) | ||||
−0.457680 | + | 0.889117i | \(0.651319\pi\) | |||||||
\(390\) | −1.92178 | − | 19.6674i | −0.0973130 | − | 0.995897i | ||||
\(391\) | −20.7524 | −1.04949 | ||||||||
\(392\) | −11.4968 | − | 6.79872i | −0.580675 | − | 0.343387i | ||||
\(393\) | −8.42169 | −0.424818 | ||||||||
\(394\) | 19.9447 | 1.00480 | ||||||||
\(395\) | 3.08799 | + | 31.6024i | 0.155374 | + | 1.59009i | ||||
\(396\) | 2.84299 | − | 0.575738i | 0.142866 | − | 0.0289319i | ||||
\(397\) | −11.1730 | −0.560756 | −0.280378 | − | 0.959890i | \(-0.590460\pi\) | ||||
−0.280378 | + | 0.959890i | \(0.590460\pi\) | |||||||
\(398\) | − | 3.25919i | − | 0.163369i | ||||||
\(399\) | −2.98267 | + | 10.9034i | −0.149320 | + | 0.545854i | ||||
\(400\) | −24.4500 | + | 4.82427i | −1.22250 | + | 0.241213i | ||||
\(401\) | 27.2031 | 1.35846 | 0.679228 | − | 0.733927i | \(-0.262315\pi\) | ||||
0.679228 | + | 0.733927i | \(0.262315\pi\) | |||||||
\(402\) | 7.22167i | 0.360184i | ||||||||
\(403\) | 34.0222 | 1.69477 | ||||||||
\(404\) | 13.2971 | 0.661556 | ||||||||
\(405\) | 2.22547 | − | 0.217459i | 0.110584 | − | 0.0108056i | ||||
\(406\) | −0.440111 | − | 0.120394i | −0.0218423 | − | 0.00597505i | ||||
\(407\) | 7.14750 | + | 35.2943i | 0.354288 | + | 1.74947i | ||||
\(408\) | 5.86988i | 0.290603i | ||||||||
\(409\) | −17.4674 | −0.863705 | −0.431853 | − | 0.901944i | \(-0.642140\pi\) | ||||
−0.431853 | + | 0.901944i | \(0.642140\pi\) | |||||||
\(410\) | 37.7629 | − | 3.68996i | 1.86498 | − | 0.182234i | ||||
\(411\) | − | 8.59604i | − | 0.424011i | ||||||
\(412\) | −3.44275 | −0.169612 | ||||||||
\(413\) | −18.3397 | − | 5.01689i | −0.902438 | − | 0.246865i | ||||
\(414\) | 11.4373i | 0.562113i | ||||||||
\(415\) | 1.54289 | + | 15.7899i | 0.0757376 | + | 0.775096i | ||||
\(416\) | − | 24.1567i | − | 1.18438i | ||||||
\(417\) | 5.01950 | 0.245806 | ||||||||
\(418\) | −23.5473 | + | 4.76860i | −1.15174 | + | 0.233240i | ||||
\(419\) | − | 16.3087i | − | 0.796734i | −0.917226 | − | 0.398367i | \(-0.869577\pi\) | ||
0.917226 | − | 0.398367i | \(-0.130423\pi\) | |||||||
\(420\) | −0.873420 | + | 5.09992i | −0.0426185 | + | 0.248850i | ||||
\(421\) | 22.5439 | 1.09872 | 0.549361 | − | 0.835585i | \(-0.314871\pi\) | ||||
0.549361 | + | 0.835585i | \(0.314871\pi\) | |||||||
\(422\) | − | 39.3777i | − | 1.91688i | ||||||
\(423\) | 6.68431 | 0.325002 | ||||||||
\(424\) | 4.39950i | 0.213658i | ||||||||
\(425\) | −2.97757 | − | 15.0907i | −0.144433 | − | 0.732005i | ||||
\(426\) | −9.89010 | −0.479177 | ||||||||
\(427\) | 3.07854 | − | 11.2539i | 0.148981 | − | 0.544614i | ||||
\(428\) | −6.64230 | −0.321068 | ||||||||
\(429\) | 3.43127 | + | 16.9436i | 0.165663 | + | 0.818044i | ||||
\(430\) | 25.6732 | − | 2.50863i | 1.23807 | − | 0.120977i | ||||
\(431\) | − | 2.82593i | − | 0.136120i | −0.997681 | − | 0.0680602i | \(-0.978319\pi\) | ||
0.997681 | − | 0.0680602i | \(-0.0216810\pi\) | |||||||
\(432\) | 4.98427 | 0.239806 | ||||||||
\(433\) | −1.50782 | −0.0724614 | −0.0362307 | − | 0.999343i | \(-0.511535\pi\) | ||||
−0.0362307 | + | 0.999343i | \(0.511535\pi\) | |||||||
\(434\) | −28.2418 | − | 7.72565i | −1.35565 | − | 0.370843i | ||||
\(435\) | −0.0221194 | − | 0.226369i | −0.00106054 | − | 0.0108536i | ||||
\(436\) | − | 7.52110i | − | 0.360195i | ||||||
\(437\) | − | 28.8217i | − | 1.37873i | ||||||
\(438\) | − | 13.7259i | − | 0.655851i | ||||||
\(439\) | 3.65823 | 0.174598 | 0.0872989 | − | 0.996182i | \(-0.472176\pi\) | ||||
0.0872989 | + | 0.996182i | \(0.472176\pi\) | |||||||
\(440\) | 13.5303 | − | 4.14415i | 0.645032 | − | 0.197565i | ||||
\(441\) | −6.02530 | − | 3.56312i | −0.286919 | − | 0.169672i | ||||
\(442\) | 27.1867 | 1.29314 | ||||||||
\(443\) | 33.2175i | 1.57821i | 0.614258 | + | 0.789105i | \(0.289455\pi\) | ||||
−0.614258 | + | 0.789105i | \(0.710545\pi\) | |||||||
\(444\) | − | 9.49602i | − | 0.450661i | ||||||
\(445\) | −3.56149 | − | 36.4481i | −0.168831 | − | 1.72781i | ||||
\(446\) | −2.73537 | −0.129523 | ||||||||
\(447\) | − | 1.83577i | − | 0.0868289i | ||||||
\(448\) | 1.47367 | − | 5.38714i | 0.0696244 | − | 0.254518i | ||||
\(449\) | 34.9542 | 1.64959 | 0.824794 | − | 0.565433i | \(-0.191291\pi\) | ||||
0.824794 | + | 0.565433i | \(0.191291\pi\) | |||||||
\(450\) | −8.31696 | + | 1.64103i | −0.392065 | + | 0.0773591i | ||||
\(451\) | −32.5330 | + | 6.58832i | −1.53192 | + | 0.310232i | ||||
\(452\) | − | 12.3384i | − | 0.580350i | ||||||
\(453\) | − | 18.2332i | − | 0.856673i | ||||||
\(454\) | − | 36.0028i | − | 1.68969i | ||||||
\(455\) | −30.3944 | − | 5.20539i | −1.42491 | − | 0.244033i | ||||
\(456\) | −8.15233 | −0.381768 | ||||||||
\(457\) | −35.2276 | −1.64788 | −0.823939 | − | 0.566679i | \(-0.808228\pi\) | ||||
−0.823939 | + | 0.566679i | \(0.808228\pi\) | |||||||
\(458\) | − | 43.0834i | − | 2.01315i | ||||||
\(459\) | 3.07632i | 0.143590i | ||||||||
\(460\) | −1.28298 | − | 13.1300i | −0.0598193 | − | 0.612188i | ||||
\(461\) | −25.1307 | −1.17045 | −0.585226 | − | 0.810870i | \(-0.698994\pi\) | ||||
−0.585226 | + | 0.810870i | \(0.698994\pi\) | |||||||
\(462\) | 0.999195 | − | 14.8440i | 0.0464867 | − | 0.690607i | ||||
\(463\) | − | 7.59548i | − | 0.352992i | −0.984301 | − | 0.176496i | \(-0.943524\pi\) | ||
0.984301 | − | 0.176496i | \(-0.0564763\pi\) | |||||||
\(464\) | − | 0.506987i | − | 0.0235363i | ||||||
\(465\) | −1.41940 | − | 14.5260i | −0.0658230 | − | 0.673629i | ||||
\(466\) | 1.90219 | 0.0881174 | ||||||||
\(467\) | 31.8136 | 1.47216 | 0.736078 | − | 0.676896i | \(-0.236675\pi\) | ||||
0.736078 | + | 0.676896i | \(0.236675\pi\) | |||||||
\(468\) | − | 4.55872i | − | 0.210727i | ||||||
\(469\) | 10.8700 | + | 2.97352i | 0.501928 | + | 0.137304i | ||||
\(470\) | −25.2212 | + | 2.46447i | −1.16337 | + | 0.113677i | ||||
\(471\) | −0.249225 | −0.0114837 | ||||||||
\(472\) | − | 13.7123i | − | 0.631161i | ||||||
\(473\) | −22.1176 | + | 4.47908i | −1.01697 | + | 0.205948i | ||||
\(474\) | 24.0761i | 1.10585i | ||||||||
\(475\) | 20.9585 | − | 4.13536i | 0.961643 | − | 0.189744i | ||||
\(476\) | −6.86621 | − | 1.87828i | −0.314712 | − | 0.0860906i | ||||
\(477\) | 2.30571i | 0.105571i | ||||||||
\(478\) | 20.0678i | 0.917878i | ||||||||
\(479\) | 16.8777 | 0.771162 | 0.385581 | − | 0.922674i | \(-0.374001\pi\) | ||||
0.385581 | + | 0.922674i | \(0.374001\pi\) | |||||||
\(480\) | −10.3139 | + | 1.00781i | −0.470763 | + | 0.0460001i | ||||
\(481\) | 56.5942 | 2.58047 | ||||||||
\(482\) | 23.4281 | 1.06712 | ||||||||
\(483\) | 17.2153 | + | 4.70930i | 0.783323 | + | 0.214281i | ||||
\(484\) | 8.86252 | − | 3.74303i | 0.402842 | − | 0.170138i | ||||
\(485\) | −6.64870 | + | 0.649670i | −0.301902 | + | 0.0295000i | ||||
\(486\) | 1.69546 | 0.0769078 | ||||||||
\(487\) | − | 5.64916i | − | 0.255988i | −0.991775 | − | 0.127994i | \(-0.959146\pi\) | ||
0.991775 | − | 0.127994i | \(-0.0408538\pi\) | |||||||
\(488\) | 8.41436 | 0.380900 | ||||||||
\(489\) | 6.38148i | 0.288581i | ||||||||
\(490\) | 24.0483 | + | 11.2229i | 1.08639 | + | 0.506997i | ||||
\(491\) | − | 1.29270i | − | 0.0583387i | −0.999574 | − | 0.0291694i | \(-0.990714\pi\) | ||
0.999574 | − | 0.0291694i | \(-0.00928621\pi\) | |||||||
\(492\) | 8.75311 | 0.394621 | ||||||||
\(493\) | 0.312915 | 0.0140930 | ||||||||
\(494\) | 37.7580i | 1.69881i | ||||||||
\(495\) | 7.09104 | − | 2.17189i | 0.318719 | − | 0.0976192i | ||||
\(496\) | − | 32.5333i | − | 1.46079i | ||||||
\(497\) | −4.07224 | + | 14.8865i | −0.182665 | + | 0.667749i | ||||
\(498\) | 12.0295i | 0.539053i | ||||||||
\(499\) | 41.9429 | 1.87762 | 0.938812 | − | 0.344430i | \(-0.111928\pi\) | ||||
0.938812 | + | 0.344430i | \(0.111928\pi\) | |||||||
\(500\) | 9.36374 | − | 2.81685i | 0.418759 | − | 0.125974i | ||||
\(501\) | − | 1.85241i | − | 0.0827598i | ||||||
\(502\) | − | 32.4336i | − | 1.44758i | ||||||
\(503\) | 1.84866i | 0.0824278i | 0.999150 | + | 0.0412139i | \(0.0131225\pi\) | ||||
−0.999150 | + | 0.0412139i | \(0.986877\pi\) | |||||||
\(504\) | 1.33204 | − | 4.86941i | 0.0593340 | − | 0.216901i | ||||
\(505\) | 33.8355 | − | 3.30620i | 1.50566 | − | 0.147124i | ||||
\(506\) | 7.52909 | + | 37.1786i | 0.334709 | + | 1.65279i | ||||
\(507\) | 14.1690 | 0.629267 | ||||||||
\(508\) | −9.07046 | −0.402436 | ||||||||
\(509\) | − | 13.1479i | − | 0.582770i | −0.956606 | − | 0.291385i | \(-0.905884\pi\) | ||
0.956606 | − | 0.291385i | \(-0.0941160\pi\) | |||||||
\(510\) | −1.13422 | − | 11.6076i | −0.0502242 | − | 0.513992i | ||||
\(511\) | −20.6601 | − | 5.65164i | −0.913949 | − | 0.250014i | ||||
\(512\) | −4.07870 | −0.180255 | ||||||||
\(513\) | −4.27252 | −0.188636 | ||||||||
\(514\) | 16.8816 | 0.744617 | ||||||||
\(515\) | −8.76034 | + | 0.856007i | −0.386027 | + | 0.0377202i | ||||
\(516\) | 5.95081 | 0.261970 | ||||||||
\(517\) | 21.7283 | − | 4.40023i | 0.955609 | − | 0.193522i | ||||
\(518\) | −46.9789 | − | 12.8512i | −2.06413 | − | 0.564651i | ||||
\(519\) | 1.63810i | 0.0719045i | ||||||||
\(520\) | −2.16278 | − | 22.1338i | −0.0948442 | − | 0.970631i | ||||
\(521\) | 32.1405i | 1.40810i | 0.710150 | + | 0.704051i | \(0.248627\pi\) | ||||
−0.710150 | + | 0.704051i | \(0.751373\pi\) | |||||||
\(522\) | − | 0.172458i | − | 0.00754828i | ||||||
\(523\) | − | 21.6013i | − | 0.944557i | −0.881449 | − | 0.472279i | \(-0.843432\pi\) | ||
0.881449 | − | 0.472279i | \(-0.156568\pi\) | |||||||
\(524\) | 7.36556 | 0.321766 | ||||||||
\(525\) | −0.954438 | + | 13.1943i | −0.0416551 | + | 0.575846i | ||||
\(526\) | −9.06585 | −0.395290 | ||||||||
\(527\) | 20.0797 | 0.874687 | ||||||||
\(528\) | 16.2021 | − | 3.28111i | 0.705105 | − | 0.142792i | ||||
\(529\) | −22.5062 | −0.978532 | ||||||||
\(530\) | −0.850103 | − | 8.69992i | −0.0369261 | − | 0.377900i | ||||
\(531\) | − | 7.18644i | − | 0.311865i | ||||||
\(532\) | 2.60863 | − | 9.53607i | 0.113098 | − | 0.413441i | ||||
\(533\) | 52.1666i | 2.25959i | ||||||||
\(534\) | − | 27.7678i | − | 1.20163i | ||||||
\(535\) | −16.9018 | + | 1.65154i | −0.730730 | + | 0.0714025i | ||||
\(536\) | 8.12731i | 0.351046i | ||||||||
\(537\) | −10.9148 | −0.471009 | ||||||||
\(538\) | 31.0278i | 1.33770i | ||||||||
\(539\) | −21.9316 | − | 7.61599i | −0.944662 | − | 0.328044i | ||||
\(540\) | −1.94638 | + | 0.190189i | −0.0837589 | + | 0.00818441i | ||||
\(541\) | − | 7.77783i | − | 0.334395i | −0.985923 | − | 0.167197i | \(-0.946528\pi\) | ||
0.985923 | − | 0.167197i | \(-0.0534717\pi\) | |||||||
\(542\) | −48.8213 | −2.09705 | ||||||||
\(543\) | 22.8005i | 0.978463i | ||||||||
\(544\) | − | 14.2572i | − | 0.611271i | ||||||
\(545\) | −1.87005 | − | 19.1380i | −0.0801041 | − | 0.819782i | ||||
\(546\) | −22.5530 | − | 6.16944i | −0.965178 | − | 0.264028i | ||||
\(547\) | 9.62307 | 0.411453 | 0.205726 | − | 0.978610i | \(-0.434044\pi\) | ||||
0.205726 | + | 0.978610i | \(0.434044\pi\) | |||||||
\(548\) | 7.51805i | 0.321155i | ||||||||
\(549\) | 4.40985 | 0.188208 | ||||||||
\(550\) | −25.9552 | + | 10.8094i | −1.10673 | + | 0.460914i | ||||
\(551\) | 0.434590i | 0.0185141i | ||||||||
\(552\) | 12.8716i | 0.547852i | ||||||||
\(553\) | 36.2391 | + | 9.91333i | 1.54104 | + | 0.421558i | ||||
\(554\) | −29.7422 | −1.26363 | ||||||||
\(555\) | −2.36109 | − | 24.1633i | −0.100223 | − | 1.02568i | ||||
\(556\) | −4.39002 | −0.186178 | ||||||||
\(557\) | 23.8241 | 1.00946 | 0.504729 | − | 0.863278i | \(-0.331593\pi\) | ||||
0.504729 | + | 0.863278i | \(0.331593\pi\) | |||||||
\(558\) | − | 11.0666i | − | 0.468487i | ||||||
\(559\) | 35.4655i | 1.50003i | ||||||||
\(560\) | −4.97759 | + | 29.0642i | −0.210341 | + | 1.22819i | ||||
\(561\) | 2.02512 | + | 10.0000i | 0.0855006 | + | 0.422201i | ||||
\(562\) | 20.8987i | 0.881560i | ||||||||
\(563\) | 9.76389i | 0.411499i | 0.978605 | + | 0.205749i | \(0.0659632\pi\) | ||||
−0.978605 | + | 0.205749i | \(0.934037\pi\) | |||||||
\(564\) | −5.84606 | −0.246163 | ||||||||
\(565\) | −3.06782 | − | 31.3960i | −0.129064 | − | 1.32084i | ||||
\(566\) | − | 11.7161i | − | 0.492466i | ||||||
\(567\) | 0.698105 | − | 2.55199i | 0.0293177 | − | 0.107173i | ||||
\(568\) | −11.1304 | −0.467020 | ||||||||
\(569\) | 27.8924i | 1.16931i | 0.811282 | + | 0.584655i | \(0.198770\pi\) | ||||
−0.811282 | + | 0.584655i | \(0.801230\pi\) | |||||||
\(570\) | 16.1211 | − | 1.57525i | 0.675238 | − | 0.0659801i | ||||
\(571\) | − | 40.9925i | − | 1.71548i | −0.514082 | − | 0.857741i | \(-0.671867\pi\) | ||
0.514082 | − | 0.857741i | \(-0.328133\pi\) | |||||||
\(572\) | −3.00097 | − | 14.8188i | −0.125477 | − | 0.619604i | ||||
\(573\) | −12.7993 | −0.534700 | ||||||||
\(574\) | 11.8458 | − | 43.3035i | 0.494435 | − | 1.80745i | ||||
\(575\) | −6.52928 | − | 33.0912i | −0.272290 | − | 1.38000i | ||||
\(576\) | 2.11096 | 0.0879565 | ||||||||
\(577\) | −36.4994 | −1.51949 | −0.759745 | − | 0.650221i | \(-0.774676\pi\) | ||||
−0.759745 | + | 0.650221i | \(0.774676\pi\) | |||||||
\(578\) | −12.7774 | −0.531470 | ||||||||
\(579\) | −15.2983 | −0.635776 | ||||||||
\(580\) | 0.0193455 | + | 0.197981i | 0.000803277 | + | 0.00822070i | ||||
\(581\) | 18.1066 | + | 4.95312i | 0.751188 | + | 0.205490i | ||||
\(582\) | −5.06528 | −0.209963 | ||||||||
\(583\) | 1.51783 | + | 7.49505i | 0.0628622 | + | 0.310413i | ||||
\(584\) | − | 15.4473i | − | 0.639212i | ||||||
\(585\) | −1.13348 | − | 11.6000i | −0.0468637 | − | 0.479601i | ||||
\(586\) | 41.2834i | 1.70540i | ||||||||
\(587\) | 2.68144 | 0.110675 | 0.0553375 | − | 0.998468i | \(-0.482377\pi\) | ||||
0.0553375 | + | 0.998468i | \(0.482377\pi\) | |||||||
\(588\) | 5.26969 | + | 3.11628i | 0.217318 | + | 0.128513i | ||||
\(589\) | 27.8875i | 1.14909i | ||||||||
\(590\) | 2.64960 | + | 27.1159i | 0.109082 | + | 1.11634i | ||||
\(591\) | 11.7636 | 0.483888 | ||||||||
\(592\) | − | 54.1174i | − | 2.22421i | ||||||
\(593\) | − | 4.81046i | − | 0.197542i | −0.995110 | − | 0.0987710i | \(-0.968509\pi\) | ||
0.995110 | − | 0.0987710i | \(-0.0314911\pi\) | |||||||
\(594\) | 5.51134 | − | 1.11611i | 0.226133 | − | 0.0457945i | ||||
\(595\) | −17.9386 | − | 3.07219i | −0.735411 | − | 0.125948i | ||||
\(596\) | 1.60555i | 0.0657660i | ||||||||
\(597\) | − | 1.92230i | − | 0.0786747i | ||||||
\(598\) | 59.6157 | 2.43787 | ||||||||
\(599\) | −28.4657 | −1.16308 | −0.581539 | − | 0.813519i | \(-0.697549\pi\) | ||||
−0.581539 | + | 0.813519i | \(0.697549\pi\) | |||||||
\(600\) | −9.35996 | + | 1.84683i | −0.382119 | + | 0.0753965i | ||||
\(601\) | −14.8482 | −0.605672 | −0.302836 | − | 0.953043i | \(-0.597933\pi\) | ||||
−0.302836 | + | 0.953043i | \(0.597933\pi\) | |||||||
\(602\) | 8.05340 | − | 29.4399i | 0.328232 | − | 1.19988i | ||||
\(603\) | 4.25941i | 0.173457i | ||||||||
\(604\) | 15.9467i | 0.648861i | ||||||||
\(605\) | 21.6207 | − | 11.7280i | 0.879006 | − | 0.476811i | ||||
\(606\) | 25.7774 | 1.04713 | ||||||||
\(607\) | 17.3804i | 0.705450i | 0.935727 | + | 0.352725i | \(0.114745\pi\) | ||||
−0.935727 | + | 0.352725i | \(0.885255\pi\) | |||||||
\(608\) | 19.8009 | 0.803033 | ||||||||
\(609\) | −0.259582 | − | 0.0710095i | −0.0105188 | − | 0.00287745i | ||||
\(610\) | −16.6392 | + | 1.62589i | −0.673703 | + | 0.0658302i | ||||
\(611\) | − | 34.8412i | − | 1.40953i | ||||||
\(612\) | − | 2.69053i | − | 0.108758i | ||||||
\(613\) | −39.6897 | −1.60305 | −0.801526 | − | 0.597960i | \(-0.795978\pi\) | ||||
−0.801526 | + | 0.597960i | \(0.795978\pi\) | |||||||
\(614\) | − | 21.2858i | − | 0.859026i | ||||||
\(615\) | 22.2729 | − | 2.17638i | 0.898131 | − | 0.0877599i | ||||
\(616\) | 1.12450 | − | 16.7056i | 0.0453074 | − | 0.673086i | ||||
\(617\) | − | 20.0629i | − | 0.807703i | −0.914825 | − | 0.403851i | \(-0.867671\pi\) | ||
0.914825 | − | 0.403851i | \(-0.132329\pi\) | |||||||
\(618\) | −6.67402 | −0.268469 | ||||||||
\(619\) | 3.79143i | 0.152390i | 0.997093 | + | 0.0761952i | \(0.0242772\pi\) | ||||
−0.997093 | + | 0.0761952i | \(0.975723\pi\) | |||||||
\(620\) | 1.24140 | + | 12.7044i | 0.0498557 | + | 0.510221i | ||||
\(621\) | 6.74583i | 0.270701i | ||||||||
\(622\) | 4.36946i | 0.175199i | ||||||||
\(623\) | −41.7958 | − | 11.4334i | −1.67451 | − | 0.458069i | ||||
\(624\) | − | 25.9800i | − | 1.04003i | ||||||
\(625\) | 23.1263 | − | 9.49590i | 0.925054 | − | 0.379836i | ||||
\(626\) | 22.2417 | 0.888958 | ||||||||
\(627\) | −13.8884 | + | 2.81257i | −0.554650 | + | 0.112323i | ||||
\(628\) | 0.217971 | 0.00869798 | ||||||||
\(629\) | 33.4016 | 1.33181 | ||||||||
\(630\) | −1.69319 | + | 9.88655i | −0.0674582 | + | 0.393890i | ||||
\(631\) | −27.9799 | −1.11386 | −0.556930 | − | 0.830559i | \(-0.688021\pi\) | ||||
−0.556930 | + | 0.830559i | \(0.688021\pi\) | |||||||
\(632\) | 27.0954i | 1.07780i | ||||||||
\(633\) | − | 23.2254i | − | 0.923125i | ||||||
\(634\) | − | 21.7437i | − | 0.863553i | ||||||
\(635\) | −23.0804 | + | 2.25528i | −0.915920 | + | 0.0894981i | ||||
\(636\) | − | 2.01656i | − | 0.0799620i | ||||||
\(637\) | −18.5723 | + | 31.4062i | −0.735863 | + | 1.24436i | ||||
\(638\) | −0.113528 | − | 0.560599i | −0.00449461 | − | 0.0221943i | ||||
\(639\) | −5.83327 | −0.230761 | ||||||||
\(640\) | −28.5928 | + | 2.79392i | −1.13023 | + | 0.110439i | ||||
\(641\) | −10.7320 | −0.423887 | −0.211944 | − | 0.977282i | \(-0.567979\pi\) | ||||
−0.211944 | + | 0.977282i | \(0.567979\pi\) | |||||||
\(642\) | −12.8766 | −0.508198 | ||||||||
\(643\) | −30.0170 | −1.18376 | −0.591878 | − | 0.806028i | \(-0.701613\pi\) | ||||
−0.591878 | + | 0.806028i | \(0.701613\pi\) | |||||||
\(644\) | −15.0564 | − | 4.11873i | −0.593305 | − | 0.162301i | ||||
\(645\) | 15.1423 | − | 1.47961i | 0.596227 | − | 0.0582597i | ||||
\(646\) | 22.2846i | 0.876775i | ||||||||
\(647\) | −36.1461 | −1.42105 | −0.710525 | − | 0.703672i | \(-0.751543\pi\) | ||||
−0.710525 | + | 0.703672i | \(0.751543\pi\) | |||||||
\(648\) | 1.90808 | 0.0749566 | ||||||||
\(649\) | −4.73077 | − | 23.3605i | −0.185699 | − | 0.916980i | ||||
\(650\) | 8.55371 | + | 43.3512i | 0.335504 | + | 1.70038i | ||||
\(651\) | −16.6573 | − | 4.55666i | −0.652851 | − | 0.178590i | ||||
\(652\) | − | 5.58121i | − | 0.218577i | ||||||
\(653\) | − | 36.7293i | − | 1.43733i | −0.695357 | − | 0.718665i | \(-0.744754\pi\) | ||
0.695357 | − | 0.718665i | \(-0.255246\pi\) | |||||||
\(654\) | − | 14.5802i | − | 0.570130i | ||||||
\(655\) | 18.7422 | − | 1.83137i | 0.732318 | − | 0.0715577i | ||||
\(656\) | 49.8836 | 1.94763 | ||||||||
\(657\) | − | 8.09569i | − | 0.315843i | ||||||
\(658\) | −7.91163 | + | 28.9217i | −0.308427 | + | 1.12749i | ||||
\(659\) | 14.0230i | 0.546257i | 0.961978 | + | 0.273128i | \(0.0880584\pi\) | ||||
−0.961978 | + | 0.273128i | \(0.911942\pi\) | |||||||
\(660\) | −6.20178 | + | 1.89952i | −0.241404 | + | 0.0739388i | ||||
\(661\) | − | 23.6065i | − | 0.918186i | −0.888388 | − | 0.459093i | \(-0.848174\pi\) | ||
0.888388 | − | 0.459093i | \(-0.151826\pi\) | |||||||
\(662\) | 9.49591 | 0.369069 | ||||||||
\(663\) | 16.0350 | 0.622747 | ||||||||
\(664\) | 13.5380i | 0.525377i | ||||||||
\(665\) | 4.26679 | − | 24.9139i | 0.165459 | − | 0.966118i | ||||
\(666\) | − | 18.4087i | − | 0.713323i | ||||||
\(667\) | 0.686168 | 0.0265685 | ||||||||
\(668\) | 1.62011i | 0.0626840i | ||||||||
\(669\) | −1.61335 | −0.0623756 | ||||||||
\(670\) | −1.57042 | − | 16.0716i | −0.0606706 | − | 0.620900i | ||||
\(671\) | 14.3348 | − | 2.90297i | 0.553390 | − | 0.112068i | ||||
\(672\) | −3.23536 | + | 11.8271i | −0.124807 | + | 0.456242i | ||||
\(673\) | 30.3169 | 1.16863 | 0.584315 | − | 0.811527i | \(-0.301363\pi\) | ||||
0.584315 | + | 0.811527i | \(0.301363\pi\) | |||||||
\(674\) | 21.3841 | 0.823686 | ||||||||
\(675\) | −4.90542 | + | 0.967898i | −0.188810 | + | 0.0372544i | ||||
\(676\) | −12.3921 | −0.476620 | ||||||||
\(677\) | − | 20.2672i | − | 0.778931i | −0.921041 | − | 0.389465i | \(-0.872660\pi\) | ||
0.921041 | − | 0.389465i | \(-0.127340\pi\) | |||||||
\(678\) | − | 23.9189i | − | 0.918599i | ||||||
\(679\) | −2.08562 | + | 7.62419i | −0.0800389 | + | 0.292590i | ||||
\(680\) | −1.27646 | − | 13.0632i | −0.0489500 | − | 0.500952i | ||||
\(681\) | − | 21.2348i | − | 0.813718i | ||||||
\(682\) | −7.28506 | − | 35.9735i | −0.278959 | − | 1.37750i | ||||
\(683\) | − | 22.7066i | − | 0.868845i | −0.900709 | − | 0.434422i | \(-0.856952\pi\) | ||
0.900709 | − | 0.434422i | \(-0.143048\pi\) | |||||||
\(684\) | 3.73672 | 0.142877 | ||||||||
\(685\) | 1.86929 | + | 19.1302i | 0.0714219 | + | 0.730928i | ||||
\(686\) | 22.5485 | − | 21.8529i | 0.860906 | − | 0.834349i | ||||
\(687\) | − | 25.4110i | − | 0.969490i | ||||||
\(688\) | 33.9134 | 1.29294 | ||||||||
\(689\) | 12.0183 | 0.457860 | ||||||||
\(690\) | −2.48715 | − | 25.4534i | −0.0946841 | − | 0.968993i | ||||
\(691\) | 11.0008i | 0.418490i | 0.977863 | + | 0.209245i | \(0.0671006\pi\) | ||||
−0.977863 | + | 0.209245i | \(0.932899\pi\) | |||||||
\(692\) | − | 1.43267i | − | 0.0544620i | ||||||
\(693\) | 0.589335 | − | 8.75515i | 0.0223870 | − | 0.332581i | ||||
\(694\) | −3.99126 | −0.151506 | ||||||||
\(695\) | −11.1707 | + | 1.09154i | −0.423730 | + | 0.0414043i | ||||
\(696\) | − | 0.194085i | − | 0.00735678i | ||||||
\(697\) | 30.7884i | 1.16620i | ||||||||
\(698\) | 41.8309 | 1.58332 | ||||||||
\(699\) | 1.12193 | 0.0424353 | ||||||||
\(700\) | 0.834746 | − | 11.5396i | 0.0315504 | − | 0.436157i | ||||
\(701\) | 36.6955i | 1.38597i | 0.720952 | + | 0.692985i | \(0.243705\pi\) | ||||
−0.720952 | + | 0.692985i | \(0.756295\pi\) | |||||||
\(702\) | − | 8.83741i | − | 0.333547i | ||||||
\(703\) | 46.3895i | 1.74961i | ||||||||
\(704\) | 6.86196 | − | 1.38963i | 0.258620 | − | 0.0523735i | ||||
\(705\) | −14.8757 | + | 1.45357i | −0.560252 | + | 0.0547445i | ||||
\(706\) | −52.5997 | −1.97962 | ||||||||
\(707\) | 10.6138 | − | 38.7998i | 0.399174 | − | 1.45922i | ||||
\(708\) | 6.28521i | 0.236213i | ||||||||
\(709\) | 46.8048 | 1.75779 | 0.878895 | − | 0.477014i | \(-0.158281\pi\) | ||||
0.878895 | + | 0.477014i | \(0.158281\pi\) | |||||||
\(710\) | 22.0101 | − | 2.15069i | 0.826025 | − | 0.0807141i | ||||
\(711\) | 14.2003i | 0.532554i | ||||||||
\(712\) | − | 31.2501i | − | 1.17115i | ||||||
\(713\) | 44.0313 | 1.64899 | ||||||||
\(714\) | −13.3106 | − | 3.64117i | −0.498138 | − | 0.136267i | ||||
\(715\) | −11.3207 | − | 36.9613i | −0.423371 | − | 1.38227i | ||||
\(716\) | 9.54604 | 0.356752 | ||||||||
\(717\) | 11.8362i | 0.442029i | ||||||||
\(718\) | 47.6067i | 1.77667i | ||||||||
\(719\) | 7.64661i | 0.285170i | 0.989783 | + | 0.142585i | \(0.0455415\pi\) | ||||
−0.989783 | + | 0.142585i | \(0.954459\pi\) | |||||||
\(720\) | −11.0923 | + | 1.08388i | −0.413387 | + | 0.0403937i | ||||
\(721\) | −2.74802 | + | 10.0457i | −0.102342 | + | 0.374120i | ||||
\(722\) | 1.26406 | 0.0470436 | ||||||||
\(723\) | 13.8181 | 0.513900 | ||||||||
\(724\) | − | 19.9412i | − | 0.741108i | ||||||
\(725\) | 0.0984520 | + | 0.498967i | 0.00365642 | + | 0.0185312i | ||||
\(726\) | 17.1806 | − | 7.25614i | 0.637633 | − | 0.269301i | ||||
\(727\) | 17.9461 | 0.665582 | 0.332791 | − | 0.943001i | \(-0.392010\pi\) | ||||
0.332791 | + | 0.943001i | \(0.392010\pi\) | |||||||
\(728\) | −25.3813 | − | 6.94313i | −0.940692 | − | 0.257330i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 2.98483 | + | 30.5466i | 0.110474 | + | 1.13058i | ||||
\(731\) | 20.9316i | 0.774182i | ||||||||
\(732\) | −3.85683 | −0.142552 | ||||||||
\(733\) | 14.6975i | 0.542865i | 0.962457 | + | 0.271433i | \(0.0874974\pi\) | ||||
−0.962457 | + | 0.271433i | \(0.912503\pi\) | |||||||
\(734\) | −30.4034 | −1.12221 | ||||||||
\(735\) | 14.1839 | + | 6.61934i | 0.523183 | + | 0.244158i | ||||
\(736\) | − | 31.2634i | − | 1.15239i | ||||||
\(737\) | 2.80394 | + | 13.8458i | 0.103284 | + | 0.510017i | ||||
\(738\) | 16.9685 | 0.624620 | ||||||||
\(739\) | 36.1709i | 1.33057i | 0.746590 | + | 0.665285i | \(0.231690\pi\) | ||||
−0.746590 | + | 0.665285i | \(0.768310\pi\) | |||||||
\(740\) | 2.06500 | + | 21.1331i | 0.0759109 | + | 0.776868i | ||||
\(741\) | 22.2700i | 0.818111i | ||||||||
\(742\) | −9.97637 | − | 2.72907i | −0.366244 | − | 0.100187i | ||||
\(743\) | 45.5913 | 1.67258 | 0.836291 | − | 0.548286i | \(-0.184719\pi\) | ||||
0.836291 | + | 0.548286i | \(0.184719\pi\) | |||||||
\(744\) | − | 12.4544i | − | 0.456601i | ||||||
\(745\) | 0.399205 | + | 4.08545i | 0.0146257 | + | 0.149679i | ||||
\(746\) | −13.3206 | −0.487702 | ||||||||
\(747\) | 7.09509i | 0.259596i | ||||||||
\(748\) | −1.77116 | − | 8.74595i | −0.0647599 | − | 0.319784i | ||||
\(749\) | −5.30192 | + | 19.3817i | −0.193728 | + | 0.708191i | ||||
\(750\) | 18.1523 | − | 5.46067i | 0.662828 | − | 0.199396i | ||||
\(751\) | −33.7027 | −1.22983 | −0.614915 | − | 0.788594i | \(-0.710810\pi\) | ||||
−0.614915 | + | 0.788594i | \(0.710810\pi\) | |||||||
\(752\) | −33.3164 | −1.21493 | ||||||||
\(753\) | − | 19.1296i | − | 0.697123i | ||||||
\(754\) | −0.898918 | −0.0327367 | ||||||||
\(755\) | 3.96499 | + | 40.5775i | 0.144301 | + | 1.47677i | ||||
\(756\) | −0.610559 | + | 2.23195i | −0.0222058 | + | 0.0811754i | ||||
\(757\) | 16.2726i | 0.591436i | 0.955275 | + | 0.295718i | \(0.0955589\pi\) | ||||
−0.955275 | + | 0.295718i | \(0.904441\pi\) | |||||||
\(758\) | −1.26711 | −0.0460234 | ||||||||
\(759\) | 4.44073 | + | 21.9283i | 0.161188 | + | 0.795945i | ||||
\(760\) | 18.1428 | − | 1.77280i | 0.658107 | − | 0.0643062i | ||||
\(761\) | −13.2064 | −0.478733 | −0.239367 | − | 0.970929i | \(-0.576940\pi\) | ||||
−0.239367 | + | 0.970929i | \(0.576940\pi\) | |||||||
\(762\) | −17.5837 | −0.636991 | ||||||||
\(763\) | −21.9459 | − | 6.00338i | −0.794496 | − | 0.217337i | ||||
\(764\) | 11.1942 | 0.404993 | ||||||||
\(765\) | −0.668975 | − | 6.84626i | −0.0241868 | − | 0.247527i | ||||
\(766\) | 28.9244 | 1.04508 | ||||||||
\(767\) | −37.4585 | −1.35255 | ||||||||
\(768\) | −17.5614 | −0.633693 | ||||||||
\(769\) | 9.25814 | 0.333857 | 0.166928 | − | 0.985969i | \(-0.446615\pi\) | ||||
0.166928 | + | 0.985969i | \(0.446615\pi\) | |||||||
\(770\) | 1.00430 | + | 33.2522i | 0.0361923 | + | 1.19833i | ||||
\(771\) | 9.95694 | 0.358591 | ||||||||
\(772\) | 13.3798 | 0.481550 | ||||||||
\(773\) | −12.1231 | −0.436038 | −0.218019 | − | 0.975944i | \(-0.569960\pi\) | ||||
−0.218019 | + | 0.975944i | \(0.569960\pi\) | |||||||
\(774\) | 11.5361 | 0.414656 | ||||||||
\(775\) | 6.31765 | + | 32.0186i | 0.226937 | + | 1.15014i | ||||
\(776\) | −5.70050 | −0.204636 | ||||||||
\(777\) | −27.7086 | − | 7.57978i | −0.994040 | − | 0.271923i | ||||
\(778\) | 30.6094 | 1.09740 | ||||||||
\(779\) | −42.7602 | −1.53204 | ||||||||
\(780\) | 0.991337 | + | 10.1453i | 0.0354955 | + | 0.363260i | ||||
\(781\) | −18.9619 | + | 3.84000i | −0.678509 | + | 0.137406i | ||||
\(782\) | 35.1848 | 1.25821 | ||||||||
\(783\) | − | 0.101717i | − | 0.00363508i | ||||||
\(784\) | 30.0317 | + | 17.7595i | 1.07256 | + | 0.634269i | ||||
\(785\) | 0.554642 | − | 0.0541963i | 0.0197960 | − | 0.00193435i | ||||
\(786\) | 14.2787 | 0.509303 | ||||||||
\(787\) | − | 9.15717i | − | 0.326418i | −0.986592 | − | 0.163209i | \(-0.947816\pi\) | ||
0.986592 | − | 0.163209i | \(-0.0521845\pi\) | |||||||
\(788\) | −10.2883 | −0.366507 | ||||||||
\(789\) | −5.34712 | −0.190363 | ||||||||
\(790\) | −5.23558 | − | 53.5807i | −0.186274 | − | 1.90632i | ||||
\(791\) | −36.0024 | − | 9.84858i | −1.28010 | − | 0.350175i | ||||
\(792\) | 6.20249 | − | 1.25608i | 0.220396 | − | 0.0446327i | ||||
\(793\) | − | 22.9858i | − | 0.816251i | ||||||
\(794\) | 18.9434 | 0.672275 | ||||||||
\(795\) | −0.501399 | − | 5.13130i | −0.0177828 | − | 0.181988i | ||||
\(796\) | 1.68123i | 0.0595898i | ||||||||
\(797\) | 37.9065 | 1.34272 | 0.671359 | − | 0.741133i | \(-0.265711\pi\) | ||||
0.671359 | + | 0.741133i | \(0.265711\pi\) | |||||||
\(798\) | 5.05701 | − | 18.4864i | 0.179016 | − | 0.654410i | ||||
\(799\) | − | 20.5631i | − | 0.727470i | ||||||
\(800\) | 22.7341 | − | 4.48570i | 0.803771 | − | 0.158594i | ||||
\(801\) | − | 16.3777i | − | 0.578679i | ||||||
\(802\) | −46.1218 | −1.62862 | ||||||||
\(803\) | −5.32933 | − | 26.3162i | −0.188068 | − | 0.928677i | ||||
\(804\) | − | 3.72525i | − | 0.131380i | ||||||
\(805\) | −39.3362 | − | 6.73678i | −1.38642 | − | 0.237440i | ||||
\(806\) | −57.6834 | −2.03181 | ||||||||
\(807\) | 18.3005i | 0.644208i | ||||||||
\(808\) | 29.0100 | 1.02057 | ||||||||
\(809\) | 14.2322i | 0.500379i | 0.968197 | + | 0.250189i | \(0.0804929\pi\) | ||||
−0.968197 | + | 0.250189i | \(0.919507\pi\) | |||||||
\(810\) | −3.77320 | + | 0.368694i | −0.132577 | + | 0.0129546i | ||||
\(811\) | −16.2404 | −0.570276 | −0.285138 | − | 0.958486i | \(-0.592039\pi\) | ||||
−0.285138 | + | 0.958486i | \(0.592039\pi\) | |||||||
\(812\) | 0.227028 | + | 0.0621044i | 0.00796714 | + | 0.00217944i | ||||
\(813\) | −28.7953 | −1.00989 | ||||||||
\(814\) | −12.1183 | − | 59.8401i | −0.424747 | − | 2.09739i | ||||
\(815\) | −1.38771 | − | 14.2018i | −0.0486095 | − | 0.497467i | ||||
\(816\) | − | 15.3332i | − | 0.536771i | ||||||
\(817\) | −29.0706 | −1.01705 | ||||||||
\(818\) | 29.6153 | 1.03547 | ||||||||
\(819\) | −13.3020 | − | 3.63880i | −0.464808 | − | 0.127150i | ||||
\(820\) | −19.4798 | + | 1.90344i | −0.680263 | + | 0.0664712i | ||||
\(821\) | 33.9504i | 1.18488i | 0.805615 | + | 0.592439i | \(0.201835\pi\) | ||||
−0.805615 | + | 0.592439i | \(0.798165\pi\) | |||||||
\(822\) | 14.5743i | 0.508336i | ||||||||
\(823\) | 35.6601i | 1.24303i | 0.783402 | + | 0.621516i | \(0.213483\pi\) | ||||
−0.783402 | + | 0.621516i | \(0.786517\pi\) | |||||||
\(824\) | −7.51098 | −0.261658 | ||||||||
\(825\) | −15.3086 | + | 6.37549i | −0.532977 | + | 0.221966i | ||||
\(826\) | 31.0943 | + | 8.50595i | 1.08191 | + | 0.295960i | ||||
\(827\) | 33.6366 | 1.16966 | 0.584830 | − | 0.811156i | \(-0.301161\pi\) | ||||
0.584830 | + | 0.811156i | \(0.301161\pi\) | |||||||
\(828\) | − | 5.89986i | − | 0.205034i | ||||||
\(829\) | 32.2690i | 1.12075i | 0.828239 | + | 0.560375i | \(0.189343\pi\) | ||||
−0.828239 | + | 0.560375i | \(0.810657\pi\) | |||||||
\(830\) | −2.61592 | − | 26.7712i | −0.0907998 | − | 0.929241i | ||||
\(831\) | −17.5422 | −0.608533 | ||||||||
\(832\) | − | 11.0031i | − | 0.381465i | ||||||
\(833\) | −10.9613 | + | 18.5358i | −0.379786 | + | 0.642226i | ||||
\(834\) | −8.51037 | −0.294690 | ||||||||
\(835\) | 0.402825 | + | 4.12249i | 0.0139403 | + | 0.142665i | ||||
\(836\) | 12.1467 | − | 2.45985i | 0.420103 | − | 0.0850758i | ||||
\(837\) | − | 6.52719i | − | 0.225613i | ||||||
\(838\) | 27.6509i | 0.955183i | ||||||||
\(839\) | − | 13.8229i | − | 0.477218i | −0.971116 | − | 0.238609i | \(-0.923309\pi\) | ||
0.971116 | − | 0.238609i | \(-0.0766915\pi\) | |||||||
\(840\) | −1.90552 | + | 11.1264i | −0.0657468 | + | 0.383897i | ||||
\(841\) | 28.9897 | 0.999643 | ||||||||
\(842\) | −38.2224 | −1.31723 | ||||||||
\(843\) | 12.3263i | 0.424539i | ||||||||
\(844\) | 20.3128i | 0.699194i | ||||||||
\(845\) | −31.5327 | + | 3.08118i | −1.08476 | + | 0.105996i | ||||
\(846\) | −11.3330 | −0.389637 | ||||||||
\(847\) | −3.84773 | − | 28.8478i | −0.132210 | − | 0.991222i | ||||
\(848\) | − | 11.4923i | − | 0.394648i | ||||||
\(849\) | − | 6.91029i | − | 0.237160i | ||||||
\(850\) | 5.04835 | + | 25.5857i | 0.173157 | + | 0.877581i | ||||
\(851\) | 73.2438 | 2.51077 | ||||||||
\(852\) | 5.10175 | 0.174783 | ||||||||
\(853\) | − | 30.0368i | − | 1.02844i | −0.857658 | − | 0.514220i | \(-0.828081\pi\) | ||
0.857658 | − | 0.514220i | \(-0.171919\pi\) | |||||||
\(854\) | −5.21955 | + | 19.0805i | −0.178609 | + | 0.652923i | ||||
\(855\) | 9.50836 | − | 0.929100i | 0.325179 | − | 0.0317745i | ||||
\(856\) | −14.4914 | −0.495305 | ||||||||
\(857\) | 5.96899i | 0.203897i | 0.994790 | + | 0.101948i | \(0.0325077\pi\) | ||||
−0.994790 | + | 0.101948i | \(0.967492\pi\) | |||||||
\(858\) | −5.81760 | − | 28.7272i | −0.198609 | − | 0.980731i | ||||
\(859\) | 8.60226i | 0.293505i | 0.989173 | + | 0.146753i | \(0.0468822\pi\) | ||||
−0.989173 | + | 0.146753i | \(0.953118\pi\) | |||||||
\(860\) | −13.2433 | + | 1.29406i | −0.451594 | + | 0.0441271i | ||||
\(861\) | 6.98678 | − | 25.5408i | 0.238109 | − | 0.870428i | ||||
\(862\) | 4.79126i | 0.163191i | ||||||||
\(863\) | 41.6886i | 1.41910i | 0.704657 | + | 0.709548i | \(0.251101\pi\) | ||||
−0.704657 | + | 0.709548i | \(0.748899\pi\) | |||||||
\(864\) | −4.63448 | −0.157668 | ||||||||
\(865\) | −0.356220 | − | 3.64554i | −0.0121118 | − | 0.123952i | ||||
\(866\) | 2.55646 | 0.0868721 | ||||||||
\(867\) | −7.53624 | −0.255944 | ||||||||
\(868\) | 14.5684 | + | 3.98523i | 0.494483 | + | 0.135268i | ||||
\(869\) | 9.34797 | + | 46.1602i | 0.317108 | + | 1.56588i | ||||
\(870\) | 0.0375026 | + | 0.383800i | 0.00127146 | + | 0.0130120i | ||||
\(871\) | 22.2017 | 0.752276 | ||||||||
\(872\) | − | 16.4086i | − | 0.555666i | ||||||
\(873\) | −2.98755 | −0.101113 | ||||||||
\(874\) | 48.8661i | 1.65292i | ||||||||
\(875\) | −0.745147 | − | 29.5710i | −0.0251906 | − | 0.999683i | ||||
\(876\) | 7.08044i | 0.239226i | ||||||||
\(877\) | 15.3366 | 0.517881 | 0.258940 | − | 0.965893i | \(-0.416627\pi\) | ||||
0.258940 | + | 0.965893i | \(0.416627\pi\) | |||||||
\(878\) | −6.20240 | −0.209321 | ||||||||
\(879\) | 24.3494i | 0.821283i | ||||||||
\(880\) | −35.3437 | + | 10.8253i | −1.19144 | + | 0.364921i | ||||
\(881\) | 0.709323i | 0.0238977i | 0.999929 | + | 0.0119488i | \(0.00380353\pi\) | ||||
−0.999929 | + | 0.0119488i | \(0.996196\pi\) | |||||||
\(882\) | 10.2157 | + | 6.04113i | 0.343979 | + | 0.203415i | ||||
\(883\) | 54.8313i | 1.84522i | 0.385735 | + | 0.922609i | \(0.373948\pi\) | ||||
−0.385735 | + | 0.922609i | \(0.626052\pi\) | |||||||
\(884\) | −14.0241 | −0.471682 | ||||||||
\(885\) | 1.56276 | + | 15.9932i | 0.0525315 | + | 0.537605i | ||||
\(886\) | − | 56.3190i | − | 1.89207i | ||||||
\(887\) | 24.5045i | 0.822782i | 0.911459 | + | 0.411391i | \(0.134957\pi\) | ||||
−0.911459 | + | 0.411391i | \(0.865043\pi\) | |||||||
\(888\) | − | 20.7173i | − | 0.695227i | ||||||
\(889\) | −7.24009 | + | 26.4668i | −0.242825 | + | 0.887668i | ||||
\(890\) | 6.03837 | + | 61.7964i | 0.202407 | + | 2.07142i | ||||
\(891\) | 3.25064 | − | 0.658292i | 0.108900 | − | 0.0220536i | ||||
\(892\) | 1.41102 | 0.0472445 | ||||||||
\(893\) | 28.5589 | 0.955686 | ||||||||
\(894\) | 3.11248i | 0.104097i | ||||||||
\(895\) | 24.2906 | − | 2.37353i | 0.811945 | − | 0.0793383i | ||||
\(896\) | −8.96927 | + | 32.7880i | −0.299642 | + | 1.09537i | ||||
\(897\) | 35.1619 | 1.17402 | ||||||||
\(898\) | −59.2635 | −1.97765 | ||||||||
\(899\) | −0.663928 | −0.0221432 | ||||||||
\(900\) | 4.29025 | − | 0.846517i | 0.143008 | − | 0.0282172i | ||||
\(901\) | 7.09312 | 0.236306 | ||||||||
\(902\) | 55.1585 | − | 11.1702i | 1.83658 | − | 0.371928i | ||||
\(903\) | 4.74997 | − | 17.3640i | 0.158069 | − | 0.577836i | ||||
\(904\) | − | 26.9184i | − | 0.895294i | ||||||
\(905\) | −4.95818 | − | 50.7418i | −0.164815 | − | 1.68671i | ||||
\(906\) | 30.9138i | 1.02704i | ||||||||
\(907\) | 27.9528i | 0.928157i | 0.885794 | + | 0.464079i | \(0.153614\pi\) | ||||
−0.885794 | + | 0.464079i | \(0.846386\pi\) | |||||||
\(908\) | 18.5718i | 0.616327i | ||||||||
\(909\) | 15.2038 | 0.504277 | ||||||||
\(910\) | 51.5325 | + | 8.82555i | 1.70829 | + | 0.292564i | ||||
\(911\) | 28.4151 | 0.941435 | 0.470718 | − | 0.882284i | \(-0.343995\pi\) | ||||
0.470718 | + | 0.882284i | \(0.343995\pi\) | |||||||
\(912\) | 21.2954 | 0.705162 | ||||||||
\(913\) | 4.67064 | + | 23.0636i | 0.154576 | + | 0.763293i | ||||
\(914\) | 59.7271 | 1.97560 | ||||||||
\(915\) | −9.81398 | + | 0.958963i | −0.324440 | + | 0.0317023i | ||||
\(916\) | 22.2243i | 0.734312i | ||||||||
\(917\) | 5.87923 | − | 21.4921i | 0.194149 | − | 0.709730i | ||||
\(918\) | − | 5.21579i | − | 0.172147i | ||||||
\(919\) | 38.1808i | 1.25947i | 0.776810 | + | 0.629735i | \(0.216836\pi\) | ||||
−0.776810 | + | 0.629735i | \(0.783164\pi\) | |||||||
\(920\) | −2.79905 | − | 28.6454i | −0.0922820 | − | 0.944410i | ||||
\(921\) | − | 12.5546i | − | 0.413688i | ||||||
\(922\) | 42.6081 | 1.40322 | ||||||||
\(923\) | 30.4053i | 1.00080i | ||||||||
\(924\) | −0.515428 | + | 7.65720i | −0.0169563 | + | 0.251903i | ||||
\(925\) | 10.5091 | + | 53.2613i | 0.345537 | + | 1.75122i | ||||
\(926\) | 12.8779i | 0.423193i | ||||||||
\(927\) | −3.93640 | −0.129288 | ||||||||
\(928\) | 0.471407i | 0.0154747i | ||||||||
\(929\) | 20.4152i | 0.669800i | 0.942254 | + | 0.334900i | \(0.108703\pi\) | ||||
−0.942254 | + | 0.334900i | \(0.891297\pi\) | |||||||
\(930\) | 2.40654 | + | 24.6284i | 0.0789134 | + | 0.807596i | ||||
\(931\) | −25.7432 | − | 15.2235i | −0.843700 | − | 0.498930i | ||||
\(932\) | −0.981234 | −0.0321414 | ||||||||
\(933\) | 2.57715i | 0.0843720i | ||||||||
\(934\) | −53.9387 | −1.76493 | ||||||||
\(935\) | −6.68143 | − | 21.8143i | −0.218506 | − | 0.713405i | ||||
\(936\) | − | 9.94568i | − | 0.325085i | ||||||
\(937\) | 18.4928i | 0.604133i | 0.953287 | + | 0.302066i | \(0.0976764\pi\) | ||||
−0.953287 | + | 0.302066i | \(0.902324\pi\) | |||||||
\(938\) | −18.4296 | − | 5.04149i | −0.601749 | − | 0.164610i | ||||
\(939\) | 13.1184 | 0.428102 | ||||||||
\(940\) | 13.0102 | − | 1.27128i | 0.424347 | − | 0.0414646i | ||||
\(941\) | 22.8138 | 0.743708 | 0.371854 | − | 0.928291i | \(-0.378722\pi\) | ||||
0.371854 | + | 0.928291i | \(0.378722\pi\) | |||||||
\(942\) | 0.422552 | 0.0137675 | ||||||||
\(943\) | 67.5136i | 2.19855i | ||||||||
\(944\) | 35.8192i | 1.16581i | ||||||||
\(945\) | −0.998658 | + | 5.83118i | −0.0324864 | + | 0.189688i | ||||
\(946\) | 37.4996 | − | 7.59411i | 1.21922 | − | 0.246906i | ||||
\(947\) | − | 10.9888i | − | 0.357087i | −0.983932 | − | 0.178544i | \(-0.942861\pi\) | ||
0.983932 | − | 0.178544i | \(-0.0571385\pi\) | |||||||
\(948\) | − | 12.4195i | − | 0.403367i | ||||||
\(949\) | −42.1979 | −1.36980 | ||||||||
\(950\) | −35.5344 | + | 7.01136i | −1.15289 | + | 0.227478i | ||||
\(951\) | − | 12.8246i | − | 0.415868i | ||||||
\(952\) | −14.9799 | − | 4.09780i | −0.485501 | − | 0.132810i | ||||
\(953\) | 38.0878 | 1.23378 | 0.616892 | − | 0.787048i | \(-0.288391\pi\) | ||||
0.616892 | + | 0.787048i | \(0.288391\pi\) | |||||||
\(954\) | − | 3.90925i | − | 0.126567i | ||||||
\(955\) | 28.4845 | − | 2.78333i | 0.921738 | − | 0.0900666i | ||||
\(956\) | − | 10.3518i | − | 0.334802i | ||||||
\(957\) | −0.0669597 | − | 0.330646i | −0.00216450 | − | 0.0106883i | ||||
\(958\) | −28.6155 | −0.924525 | ||||||||
\(959\) | 21.9370 | + | 6.00094i | 0.708383 | + | 0.193781i | ||||
\(960\) | −4.69787 | + | 0.459047i | −0.151623 | + | 0.0148157i | ||||
\(961\) | −11.6042 | −0.374328 | ||||||||
\(962\) | −95.9534 | −3.09366 | ||||||||
\(963\) | −7.59473 | −0.244737 | ||||||||
\(964\) | −12.0852 | −0.389239 | ||||||||
\(965\) | 34.0459 | − | 3.32676i | 1.09598 | − | 0.107092i | ||||
\(966\) | −29.1879 | − | 7.98445i | −0.939105 | − | 0.256895i | ||||
\(967\) | 24.6986 | 0.794253 | 0.397126 | − | 0.917764i | \(-0.370007\pi\) | ||||
0.397126 | + | 0.917764i | \(0.370007\pi\) | |||||||
\(968\) | 19.3352 | − | 8.16610i | 0.621457 | − | 0.262468i | ||||
\(969\) | 13.1437i | 0.422235i | ||||||||
\(970\) | 11.2726 | − | 1.10149i | 0.361942 | − | 0.0353668i | ||||
\(971\) | − | 23.3634i | − | 0.749766i | −0.927072 | − | 0.374883i | \(-0.877683\pi\) | ||
0.927072 | − | 0.374883i | \(-0.122317\pi\) | |||||||
\(972\) | −0.874594 | −0.0280526 | ||||||||
\(973\) | −3.50414 | + | 12.8097i | −0.112338 | + | 0.410660i | ||||
\(974\) | 9.57794i | 0.306897i | ||||||||
\(975\) | 5.04506 | + | 25.5690i | 0.161571 | + | 0.818862i | ||||
\(976\) | −21.9799 | −0.703559 | ||||||||
\(977\) | − | 12.9148i | − | 0.413180i | −0.978428 | − | 0.206590i | \(-0.933763\pi\) | ||
0.978428 | − | 0.206590i | \(-0.0662367\pi\) | |||||||
\(978\) | − | 10.8196i | − | 0.345972i | ||||||
\(979\) | −10.7813 | − | 53.2381i | −0.344573 | − | 1.70150i | ||||
\(980\) | −12.4052 | − | 5.78924i | −0.396269 | − | 0.184930i | ||||
\(981\) | − | 8.59953i | − | 0.274562i | ||||||
\(982\) | 2.19172i | 0.0699407i | ||||||||
\(983\) | −45.5860 | −1.45397 | −0.726984 | − | 0.686655i | \(-0.759079\pi\) | ||||
−0.726984 | + | 0.686655i | \(0.759079\pi\) | |||||||
\(984\) | 19.0965 | 0.608774 | ||||||||
\(985\) | −26.1794 | + | 2.55810i | −0.834146 | + | 0.0815077i | ||||
\(986\) | −0.530537 | −0.0168957 | ||||||||
\(987\) | −4.66635 | + | 17.0583i | −0.148532 | + | 0.542971i | ||||
\(988\) | − | 19.4772i | − | 0.619654i | ||||||
\(989\) | 45.8992i | 1.45951i | ||||||||
\(990\) | −12.0226 | + | 3.68236i | −0.382103 | + | 0.117033i | ||||
\(991\) | 23.9141 | 0.759656 | 0.379828 | − | 0.925057i | \(-0.375983\pi\) | ||||
0.379828 | + | 0.925057i | \(0.375983\pi\) | |||||||
\(992\) | 30.2501i | 0.960442i | ||||||||
\(993\) | 5.60078 | 0.177735 | ||||||||
\(994\) | 6.90433 | − | 25.2394i | 0.218992 | − | 0.800546i | ||||
\(995\) | 0.418023 | + | 4.27803i | 0.0132522 | + | 0.135623i | ||||
\(996\) | − | 6.20532i | − | 0.196623i | ||||||
\(997\) | − | 23.2026i | − | 0.734835i | −0.930056 | − | 0.367418i | \(-0.880242\pi\) | ||
0.930056 | − | 0.367418i | \(-0.119758\pi\) | |||||||
\(998\) | −71.1127 | −2.25103 | ||||||||
\(999\) | − | 10.8576i | − | 0.343520i |
(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 | 1155.2.k.a.769.11 | ✓ | 48 | |
5.4 | even | 2 | 1155.2.k.b.769.38 | yes | 48 | ||
7.6 | odd | 2 | 1155.2.k.b.769.12 | yes | 48 | ||
11.10 | odd | 2 | inner | 1155.2.k.a.769.38 | yes | 48 | |
35.34 | odd | 2 | inner | 1155.2.k.a.769.37 | yes | 48 | |
55.54 | odd | 2 | 1155.2.k.b.769.11 | yes | 48 | ||
77.76 | even | 2 | 1155.2.k.b.769.37 | yes | 48 | ||
385.384 | even | 2 | inner | 1155.2.k.a.769.12 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1155.2.k.a.769.11 | ✓ | 48 | 1.1 | even | 1 | trivial | |
1155.2.k.a.769.12 | yes | 48 | 385.384 | even | 2 | inner | |
1155.2.k.a.769.37 | yes | 48 | 35.34 | odd | 2 | inner | |
1155.2.k.a.769.38 | yes | 48 | 11.10 | odd | 2 | inner | |
1155.2.k.b.769.11 | yes | 48 | 55.54 | odd | 2 | ||
1155.2.k.b.769.12 | yes | 48 | 7.6 | odd | 2 | ||
1155.2.k.b.769.37 | yes | 48 | 77.76 | even | 2 | ||
1155.2.k.b.769.38 | yes | 48 | 5.4 | even | 2 |