Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [572,2,Mod(67,572)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(572, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("572.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 572 = 2^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 572.bf (of order \(12\), degree \(4\), 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: | \(4.56744299562\) |
Analytic rank: | \(0\) |
Dimension: | \(280\) |
Relative dimension: | \(70\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 67.15 | ||
Character | \(\chi\) | \(=\) | 572.67 |
Dual form | 572.2.bf.a.111.15 |
$q$-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 \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(353\) | \(365\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{12}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.08655 | − | 0.905208i | −0.768309 | − | 0.640079i | ||||
\(3\) | −2.08344 | + | 1.20287i | −1.20287 | + | 0.694479i | −0.961193 | − | 0.275877i | \(-0.911032\pi\) |
−0.241680 | + | 0.970356i | \(0.577698\pi\) | |||||||
\(4\) | 0.361197 | + | 1.96711i | 0.180599 | + | 0.983557i | ||||
\(5\) | 1.79541 | − | 1.79541i | 0.802931 | − | 0.802931i | −0.180622 | − | 0.983553i | \(-0.557811\pi\) |
0.983553 | + | 0.180622i | \(0.0578110\pi\) | |||||||
\(6\) | 3.35261 | + | 0.578958i | 1.36870 | + | 0.236358i | ||||
\(7\) | 0.472870 | + | 1.76477i | 0.178728 | + | 0.667022i | 0.995887 | + | 0.0906090i | \(0.0288813\pi\) |
−0.817159 | + | 0.576413i | \(0.804452\pi\) | |||||||
\(8\) | 1.38819 | − | 2.46433i | 0.490798 | − | 0.871273i | ||||
\(9\) | 1.39380 | − | 2.41414i | 0.464601 | − | 0.804713i | ||||
\(10\) | −3.57602 | + | 0.325589i | −1.13084 | + | 0.102960i | ||||
\(11\) | 0.965926 | + | 0.258819i | 0.291238 | + | 0.0780369i | ||||
\(12\) | −3.11872 | − | 3.66388i | −0.900296 | − | 1.05767i | ||||
\(13\) | −1.85021 | − | 3.09463i | −0.513157 | − | 0.858295i | ||||
\(14\) | 1.08369 | − | 2.34557i | 0.289628 | − | 0.626879i | ||||
\(15\) | −1.58097 | + | 5.90026i | −0.408205 | + | 1.52344i | ||||
\(16\) | −3.73907 | + | 1.42103i | −0.934768 | + | 0.355258i | ||||
\(17\) | 1.58052 | + | 0.912511i | 0.383331 | + | 0.221316i | 0.679267 | − | 0.733892i | \(-0.262298\pi\) |
−0.295935 | + | 0.955208i | \(0.595631\pi\) | |||||||
\(18\) | −3.69974 | + | 1.36141i | −0.872037 | + | 0.320887i | ||||
\(19\) | 0.536673 | − | 0.143801i | 0.123121 | − | 0.0329902i | −0.196732 | − | 0.980457i | \(-0.563033\pi\) |
0.319853 | + | 0.947467i | \(0.396366\pi\) | |||||||
\(20\) | 4.18027 | + | 2.88327i | 0.934736 | + | 0.644720i | ||||
\(21\) | −3.10799 | − | 3.10799i | −0.678219 | − | 0.678219i | ||||
\(22\) | −0.815245 | − | 1.15558i | −0.173811 | − | 0.246371i | ||||
\(23\) | −0.203873 | − | 0.353119i | −0.0425105 | − | 0.0736303i | 0.843987 | − | 0.536363i | \(-0.180202\pi\) |
−0.886498 | + | 0.462733i | \(0.846869\pi\) | |||||||
\(24\) | 0.0720796 | + | 6.80409i | 0.0147132 | + | 1.38888i | ||||
\(25\) | − | 1.44698i | − | 0.289395i | ||||||
\(26\) | −0.790926 | + | 5.03730i | −0.155113 | + | 0.987897i | ||||
\(27\) | − | 0.510960i | − | 0.0983343i | ||||||
\(28\) | −3.30071 | + | 1.56762i | −0.623776 | + | 0.296252i | ||||
\(29\) | 1.29025 | + | 2.23477i | 0.239593 | + | 0.414987i | 0.960597 | − | 0.277943i | \(-0.0896528\pi\) |
−0.721005 | + | 0.692930i | \(0.756319\pi\) | |||||||
\(30\) | 7.05877 | − | 4.97984i | 1.28875 | − | 0.909191i | ||||
\(31\) | 3.07171 | + | 3.07171i | 0.551695 | + | 0.551695i | 0.926930 | − | 0.375235i | \(-0.122438\pi\) |
−0.375235 | + | 0.926930i | \(0.622438\pi\) | |||||||
\(32\) | 5.34903 | + | 1.84061i | 0.945584 | + | 0.325377i | ||||
\(33\) | −2.32377 | + | 0.622653i | −0.404517 | + | 0.108390i | ||||
\(34\) | −0.891302 | − | 2.42219i | −0.152857 | − | 0.415402i | ||||
\(35\) | 4.01748 | + | 2.31949i | 0.679079 | + | 0.392066i | ||||
\(36\) | 5.25233 | + | 1.86979i | 0.875388 | + | 0.311632i | ||||
\(37\) | −0.770995 | + | 2.87739i | −0.126751 | + | 0.473041i | −0.999896 | − | 0.0144196i | \(-0.995410\pi\) |
0.873145 | + | 0.487460i | \(0.162077\pi\) | |||||||
\(38\) | −0.713294 | − | 0.329553i | −0.115712 | − | 0.0534605i | ||||
\(39\) | 7.57724 | + | 4.22189i | 1.21333 | + | 0.676043i | ||||
\(40\) | −1.93212 | − | 6.91684i | −0.305495 | − | 1.09365i | ||||
\(41\) | 9.09585 | + | 2.43722i | 1.42053 | + | 0.380631i | 0.885673 | − | 0.464310i | \(-0.153698\pi\) |
0.534860 | + | 0.844941i | \(0.320364\pi\) | |||||||
\(42\) | 0.563621 | + | 6.19038i | 0.0869686 | + | 0.955196i | ||||
\(43\) | 4.68188 | − | 8.10926i | 0.713980 | − | 1.23665i | −0.249371 | − | 0.968408i | \(-0.580224\pi\) |
0.963351 | − | 0.268242i | \(-0.0864428\pi\) | |||||||
\(44\) | −0.160237 | + | 1.99357i | −0.0241566 | + | 0.300542i | ||||
\(45\) | −1.83192 | − | 6.83681i | −0.273086 | − | 1.01917i | ||||
\(46\) | −0.0981267 | + | 0.568230i | −0.0144680 | + | 0.0837809i | ||||
\(47\) | 4.64633 | − | 4.64633i | 0.677737 | − | 0.677737i | −0.281751 | − | 0.959488i | \(-0.590915\pi\) |
0.959488 | + | 0.281751i | \(0.0909152\pi\) | |||||||
\(48\) | 6.08080 | − | 7.45826i | 0.877688 | − | 1.07651i | ||||
\(49\) | 3.17136 | − | 1.83098i | 0.453051 | − | 0.261569i | ||||
\(50\) | −1.30981 | + | 1.57222i | −0.185236 | + | 0.222345i | ||||
\(51\) | −4.39054 | −0.614798 | ||||||||
\(52\) | 5.41919 | − | 4.75735i | 0.751507 | − | 0.659726i | ||||
\(53\) | 13.9196 | 1.91201 | 0.956004 | − | 0.293352i | \(-0.0947709\pi\) | ||||
0.956004 | + | 0.293352i | \(0.0947709\pi\) | |||||||
\(54\) | −0.462525 | + | 0.555185i | −0.0629417 | + | 0.0755512i | ||||
\(55\) | 2.19892 | − | 1.26954i | 0.296502 | − | 0.171185i | ||||
\(56\) | 5.00542 | + | 1.28453i | 0.668878 | + | 0.171652i | ||||
\(57\) | −0.945149 | + | 0.945149i | −0.125188 | + | 0.125188i | ||||
\(58\) | 0.621012 | − | 3.59614i | 0.0815428 | − | 0.472196i | ||||
\(59\) | 2.75012 | + | 10.2636i | 0.358035 | + | 1.33621i | 0.876622 | + | 0.481180i | \(0.159792\pi\) |
−0.518587 | + | 0.855025i | \(0.673542\pi\) | |||||||
\(60\) | −12.1775 | − | 0.978791i | −1.57211 | − | 0.126361i | ||||
\(61\) | 0.140185 | − | 0.242808i | 0.0179489 | − | 0.0310884i | −0.856911 | − | 0.515464i | \(-0.827620\pi\) |
0.874860 | + | 0.484375i | \(0.160953\pi\) | |||||||
\(62\) | −0.557040 | − | 6.11810i | −0.0707442 | − | 0.777000i | ||||
\(63\) | 4.91950 | + | 1.31818i | 0.619799 | + | 0.166075i | ||||
\(64\) | −4.14587 | − | 6.84191i | −0.518234 | − | 0.855239i | ||||
\(65\) | −8.87800 | − | 2.23423i | −1.10118 | − | 0.277122i | ||||
\(66\) | 3.08853 | + | 1.42695i | 0.380172 | + | 0.175645i | ||||
\(67\) | −1.69398 | + | 6.32203i | −0.206953 | + | 0.772359i | 0.781892 | + | 0.623413i | \(0.214255\pi\) |
−0.988845 | + | 0.148946i | \(0.952412\pi\) | |||||||
\(68\) | −1.22413 | + | 3.43865i | −0.148448 | + | 0.416997i | ||||
\(69\) | 0.849513 | + | 0.490467i | 0.102269 | + | 0.0590453i | ||||
\(70\) | −2.26559 | − | 6.15691i | −0.270789 | − | 0.735892i | ||||
\(71\) | −7.39953 | + | 1.98270i | −0.878163 | + | 0.235303i | −0.669614 | − | 0.742709i | \(-0.733541\pi\) |
−0.208548 | + | 0.978012i | \(0.566874\pi\) | |||||||
\(72\) | −4.01438 | − | 6.78607i | −0.473100 | − | 0.799747i | ||||
\(73\) | −1.19135 | − | 1.19135i | −0.139437 | − | 0.139437i | 0.633943 | − | 0.773380i | \(-0.281435\pi\) |
−0.773380 | + | 0.633943i | \(0.781435\pi\) | |||||||
\(74\) | 3.44237 | − | 2.42853i | 0.400167 | − | 0.282311i | ||||
\(75\) | 1.74053 | + | 3.01468i | 0.200979 | + | 0.348106i | ||||
\(76\) | 0.476718 | + | 1.00376i | 0.0546833 | + | 0.115139i | ||||
\(77\) | 1.82703i | 0.208209i | ||||||||
\(78\) | −4.41139 | − | 11.4463i | −0.499492 | − | 1.29604i | ||||
\(79\) | 9.57345i | 1.07710i | 0.842595 | + | 0.538548i | \(0.181027\pi\) | ||||
−0.842595 | + | 0.538548i | \(0.818973\pi\) | |||||||
\(80\) | −4.16183 | + | 9.26449i | −0.465307 | + | 1.03580i | ||||
\(81\) | 4.79603 | + | 8.30697i | 0.532892 | + | 0.922997i | ||||
\(82\) | −7.67693 | − | 10.8818i | −0.847775 | − | 1.20169i | ||||
\(83\) | −2.91060 | − | 2.91060i | −0.319479 | − | 0.319479i | 0.529088 | − | 0.848567i | \(-0.322534\pi\) |
−0.848567 | + | 0.529088i | \(0.822534\pi\) | |||||||
\(84\) | 4.99118 | − | 7.23637i | 0.544582 | − | 0.789553i | ||||
\(85\) | 4.47600 | − | 1.19934i | 0.485490 | − | 0.130087i | ||||
\(86\) | −12.4277 | + | 4.57307i | −1.34011 | + | 0.493126i | ||||
\(87\) | −5.37629 | − | 3.10400i | −0.576399 | − | 0.332784i | ||||
\(88\) | 1.97870 | − | 2.02107i | 0.210930 | − | 0.215447i | ||||
\(89\) | −3.40706 | + | 12.7153i | −0.361148 | + | 1.34782i | 0.511420 | + | 0.859331i | \(0.329120\pi\) |
−0.872568 | + | 0.488492i | \(0.837547\pi\) | |||||||
\(90\) | −4.19826 | + | 9.08683i | −0.442535 | + | 0.957836i | ||||
\(91\) | 4.58641 | − | 4.72856i | 0.480786 | − | 0.495688i | ||||
\(92\) | 0.620986 | − | 0.528587i | 0.0647423 | − | 0.0551090i | ||||
\(93\) | −10.0946 | − | 2.70483i | −1.04676 | − | 0.280478i | ||||
\(94\) | −9.25438 | + | 0.842591i | −0.954516 | + | 0.0869066i | ||||
\(95\) | 0.705365 | − | 1.22173i | 0.0723689 | − | 0.125347i | ||||
\(96\) | −13.3584 | + | 2.59941i | −1.36338 | + | 0.265301i | ||||
\(97\) | −2.39007 | − | 8.91985i | −0.242675 | − | 0.905674i | −0.974538 | − | 0.224222i | \(-0.928016\pi\) |
0.731863 | − | 0.681451i | \(-0.238651\pi\) | |||||||
\(98\) | −5.10327 | − | 0.881275i | −0.515508 | − | 0.0890222i | ||||
\(99\) | 1.97114 | − | 1.97114i | 0.198107 | − | 0.198107i | ||||
\(100\) | 2.84637 | − | 0.522644i | 0.284637 | − | 0.0522644i | ||||
\(101\) | 14.9014 | − | 8.60334i | 1.48275 | − | 0.856064i | 0.482939 | − | 0.875654i | \(-0.339569\pi\) |
0.999808 | + | 0.0195896i | \(0.00623596\pi\) | |||||||
\(102\) | 4.77055 | + | 3.97435i | 0.472355 | + | 0.393519i | ||||
\(103\) | 1.06374 | 0.104814 | 0.0524069 | − | 0.998626i | \(-0.483311\pi\) | ||||
0.0524069 | + | 0.998626i | \(0.483311\pi\) | |||||||
\(104\) | −10.1946 | + | 0.263619i | −0.999666 | + | 0.0258500i | ||||
\(105\) | −11.1602 | −1.08913 | ||||||||
\(106\) | −15.1244 | − | 12.6002i | −1.46901 | − | 1.22384i | ||||
\(107\) | −3.27072 | + | 1.88835i | −0.316192 | + | 0.182554i | −0.649694 | − | 0.760196i | \(-0.725103\pi\) |
0.333502 | + | 0.942749i | \(0.391770\pi\) | |||||||
\(108\) | 1.00512 | − | 0.184557i | 0.0967174 | − | 0.0177590i | ||||
\(109\) | 7.51182 | − | 7.51182i | 0.719502 | − | 0.719502i | −0.249001 | − | 0.968503i | \(-0.580102\pi\) |
0.968503 | + | 0.249001i | \(0.0801023\pi\) | |||||||
\(110\) | −3.53844 | − | 0.611048i | −0.337377 | − | 0.0582611i | ||||
\(111\) | −1.85482 | − | 6.92228i | −0.176052 | − | 0.657033i | ||||
\(112\) | −4.27590 | − | 5.92666i | −0.404034 | − | 0.560016i | ||||
\(113\) | −6.60195 | + | 11.4349i | −0.621059 | + | 1.07571i | 0.368229 | + | 0.929735i | \(0.379964\pi\) |
−0.989289 | + | 0.145972i | \(0.953369\pi\) | |||||||
\(114\) | 1.88251 | − | 0.171399i | 0.176313 | − | 0.0160530i | ||||
\(115\) | −1.00003 | − | 0.267956i | −0.0932530 | − | 0.0249871i | ||||
\(116\) | −3.93002 | + | 3.34525i | −0.364893 | + | 0.310599i | ||||
\(117\) | −10.0497 | + | 0.153367i | −0.929095 | + | 0.0141788i | ||||
\(118\) | 6.30253 | − | 13.6414i | 0.580195 | − | 1.25579i | ||||
\(119\) | −0.862998 | + | 3.22075i | −0.0791109 | + | 0.295246i | ||||
\(120\) | 12.3455 | + | 12.0867i | 1.12699 | + | 1.10336i | ||||
\(121\) | 0.866025 | + | 0.500000i | 0.0787296 | + | 0.0454545i | ||||
\(122\) | −0.372110 | + | 0.136927i | −0.0336893 | + | 0.0123968i | ||||
\(123\) | −21.8823 | + | 5.86334i | −1.97306 | + | 0.528680i | ||||
\(124\) | −4.93290 | + | 7.15188i | −0.442988 | + | 0.642258i | ||||
\(125\) | 6.37913 | + | 6.37913i | 0.570566 | + | 0.570566i | ||||
\(126\) | −4.15208 | − | 5.88544i | −0.369896 | − | 0.524317i | ||||
\(127\) | −0.000182707 | 0 | 0.000316457i | −1.62126e−5 | 0 | 2.80811e-5i | 0.866017 | − | 0.500014i | \(-0.166672\pi\) |
−0.866034 | + | 0.499986i | \(0.833338\pi\) | |||||||
\(128\) | −1.68864 | + | 11.1870i | −0.149256 | + | 0.988799i | ||||
\(129\) | 22.5268i | 1.98338i | ||||||||
\(130\) | 7.62398 | + | 10.4640i | 0.668667 | + | 0.917758i | ||||
\(131\) | − | 19.3809i | − | 1.69332i | −0.532138 | − | 0.846658i | \(-0.678611\pi\) | ||
0.532138 | − | 0.846658i | \(-0.321389\pi\) | |||||||
\(132\) | −2.06417 | − | 4.34622i | −0.179663 | − | 0.378290i | ||||
\(133\) | 0.507553 | + | 0.879107i | 0.0440104 | + | 0.0762283i | ||||
\(134\) | 7.56336 | − | 5.33582i | 0.653374 | − | 0.460944i | ||||
\(135\) | −0.917381 | − | 0.917381i | −0.0789556 | − | 0.0789556i | ||||
\(136\) | 4.44278 | − | 2.62818i | 0.380965 | − | 0.225365i | ||||
\(137\) | −15.2599 | + | 4.08889i | −1.30374 | + | 0.349337i | −0.842865 | − | 0.538126i | \(-0.819133\pi\) |
−0.460879 | + | 0.887463i | \(0.652466\pi\) | |||||||
\(138\) | −0.479067 | − | 1.30190i | −0.0407809 | − | 0.110825i | ||||
\(139\) | 11.7192 | + | 6.76606i | 0.994006 | + | 0.573890i | 0.906469 | − | 0.422271i | \(-0.138767\pi\) |
0.0875369 | + | 0.996161i | \(0.472100\pi\) | |||||||
\(140\) | −3.11161 | + | 8.74064i | −0.262979 | + | 0.738719i | ||||
\(141\) | −4.09139 | + | 15.2693i | −0.344557 | + | 1.28590i | ||||
\(142\) | 9.83474 | + | 4.54381i | 0.825313 | + | 0.381308i | ||||
\(143\) | −0.986219 | − | 3.46805i | −0.0824718 | − | 0.290013i | ||||
\(144\) | −1.78097 | + | 11.0073i | −0.148414 | + | 0.917274i | ||||
\(145\) | 6.32884 | + | 1.69581i | 0.525582 | + | 0.140829i | ||||
\(146\) | 0.216046 | + | 2.37288i | 0.0178801 | + | 0.196381i | ||||
\(147\) | −4.40488 | + | 7.62947i | −0.363308 | + | 0.629268i | ||||
\(148\) | −5.93864 | − | 0.477329i | −0.488153 | − | 0.0392362i | ||||
\(149\) | −1.91505 | − | 7.14707i | −0.156887 | − | 0.585511i | −0.998936 | − | 0.0461102i | \(-0.985317\pi\) |
0.842049 | − | 0.539401i | \(-0.181349\pi\) | |||||||
\(150\) | 0.837738 | − | 4.85115i | 0.0684010 | − | 0.396095i | ||||
\(151\) | 12.6987 | − | 12.6987i | 1.03341 | − | 1.03341i | 0.0339862 | − | 0.999422i | \(-0.489180\pi\) |
0.999422 | − | 0.0339862i | \(-0.0108202\pi\) | |||||||
\(152\) | 0.390628 | − | 1.52216i | 0.0316842 | − | 0.123464i | ||||
\(153\) | 4.40586 | − | 2.54372i | 0.356192 | − | 0.205648i | ||||
\(154\) | 1.65384 | − | 1.98516i | 0.133270 | − | 0.159969i | ||||
\(155\) | 11.0299 | 0.885945 | ||||||||
\(156\) | −5.56806 | + | 16.4302i | −0.445801 | + | 1.31547i | ||||
\(157\) | −10.8979 | −0.869745 | −0.434872 | − | 0.900492i | \(-0.643207\pi\) | ||||
−0.434872 | + | 0.900492i | \(0.643207\pi\) | |||||||
\(158\) | 8.66596 | − | 10.4021i | 0.689427 | − | 0.827544i | ||||
\(159\) | −29.0007 | + | 16.7435i | −2.29990 | + | 1.32785i | ||||
\(160\) | 12.9083 | − | 6.29905i | 1.02049 | − | 0.497983i | ||||
\(161\) | 0.526769 | − | 0.526769i | 0.0415152 | − | 0.0415152i | ||||
\(162\) | 2.30839 | − | 13.3674i | 0.181364 | − | 1.05024i | ||||
\(163\) | −4.72183 | − | 17.6221i | −0.369842 | − | 1.38027i | −0.860737 | − | 0.509050i | \(-0.829997\pi\) |
0.490895 | − | 0.871219i | \(-0.336670\pi\) | |||||||
\(164\) | −1.50890 | + | 18.7729i | −0.117826 | + | 1.46592i | ||||
\(165\) | −3.05420 | + | 5.29003i | −0.237769 | + | 0.411828i | ||||
\(166\) | 0.527824 | + | 5.79721i | 0.0409671 | + | 0.449951i | ||||
\(167\) | 1.20664 | + | 0.323319i | 0.0933727 | + | 0.0250191i | 0.305203 | − | 0.952287i | \(-0.401276\pi\) |
−0.211830 | + | 0.977306i | \(0.567942\pi\) | |||||||
\(168\) | −11.9736 | + | 3.34465i | −0.923783 | + | 0.258046i | ||||
\(169\) | −6.15343 | + | 11.4514i | −0.473341 | + | 0.880879i | ||||
\(170\) | −5.94906 | − | 2.74856i | −0.456272 | − | 0.210805i | ||||
\(171\) | 0.400861 | − | 1.49603i | 0.0306546 | − | 0.114405i | ||||
\(172\) | 17.6429 | + | 6.28075i | 1.34526 | + | 0.478903i | ||||
\(173\) | −1.90178 | − | 1.09799i | −0.144589 | − | 0.0834787i | 0.425960 | − | 0.904742i | \(-0.359936\pi\) |
−0.570549 | + | 0.821263i | \(0.693270\pi\) | |||||||
\(174\) | 3.03186 | + | 8.23933i | 0.229845 | + | 0.624622i | ||||
\(175\) | 2.55359 | − | 0.684231i | 0.193033 | − | 0.0517230i | ||||
\(176\) | −3.97946 | + | 0.404868i | −0.299963 | + | 0.0305181i | ||||
\(177\) | −18.0755 | − | 18.0755i | −1.35864 | − | 1.35864i | ||||
\(178\) | 15.2120 | − | 10.7318i | 1.14019 | − | 0.804382i | ||||
\(179\) | −8.18135 | − | 14.1705i | −0.611503 | − | 1.05915i | −0.990987 | − | 0.133956i | \(-0.957232\pi\) |
0.379485 | − | 0.925198i | \(-0.376101\pi\) | |||||||
\(180\) | 12.7871 | − | 6.07303i | 0.953094 | − | 0.452657i | ||||
\(181\) | − | 0.940852i | − | 0.0699329i | −0.999388 | − | 0.0349665i | \(-0.988868\pi\) | ||
0.999388 | − | 0.0349665i | \(-0.0111324\pi\) | |||||||
\(182\) | −9.26371 | + | 0.986184i | −0.686672 | + | 0.0731008i | ||||
\(183\) | 0.674500i | 0.0498605i | ||||||||
\(184\) | −1.15322 | + | 0.0122167i | −0.0850162 | + | 0.000900625i | ||||
\(185\) | 3.78184 | + | 6.55035i | 0.278047 | + | 0.481591i | ||||
\(186\) | 8.51986 | + | 12.0766i | 0.624706 | + | 0.885502i | ||||
\(187\) | 1.29049 | + | 1.29049i | 0.0943696 | + | 0.0943696i | ||||
\(188\) | 10.8181 | + | 7.46161i | 0.788991 | + | 0.544194i | ||||
\(189\) | 0.901729 | − | 0.241618i | 0.0655911 | − | 0.0175751i | ||||
\(190\) | −1.87233 | + | 0.688971i | −0.135833 | + | 0.0499832i | ||||
\(191\) | 6.65491 | + | 3.84221i | 0.481532 | + | 0.278013i | 0.721055 | − | 0.692878i | \(-0.243658\pi\) |
−0.239522 | + | 0.970891i | \(0.576991\pi\) | |||||||
\(192\) | 16.8676 | + | 9.26772i | 1.21731 | + | 0.668840i | ||||
\(193\) | 0.222889 | − | 0.831833i | 0.0160439 | − | 0.0598766i | −0.957440 | − | 0.288633i | \(-0.906799\pi\) |
0.973484 | + | 0.228756i | \(0.0734659\pi\) | |||||||
\(194\) | −5.47738 | + | 11.8554i | −0.393253 | + | 0.851168i | ||||
\(195\) | 21.1842 | − | 6.02423i | 1.51704 | − | 0.431404i | ||||
\(196\) | 4.74724 | + | 5.57707i | 0.339088 | + | 0.398362i | ||||
\(197\) | 12.1318 | + | 3.25072i | 0.864358 | + | 0.231604i | 0.663647 | − | 0.748046i | \(-0.269008\pi\) |
0.200712 | + | 0.979650i | \(0.435675\pi\) | |||||||
\(198\) | −3.92603 | + | 0.357457i | −0.279011 | + | 0.0254034i | ||||
\(199\) | −4.82608 | + | 8.35902i | −0.342112 | + | 0.592555i | −0.984825 | − | 0.173552i | \(-0.944475\pi\) |
0.642713 | + | 0.766107i | \(0.277809\pi\) | |||||||
\(200\) | −3.56583 | − | 2.00867i | −0.252142 | − | 0.142035i | ||||
\(201\) | −4.07529 | − | 15.2092i | −0.287449 | − | 1.07277i | ||||
\(202\) | −23.9790 | − | 4.14090i | −1.68716 | − | 0.291352i | ||||
\(203\) | −3.33375 | + | 3.33375i | −0.233983 | + | 0.233983i | ||||
\(204\) | −1.58585 | − | 8.63668i | −0.111032 | − | 0.604689i | ||||
\(205\) | 20.7066 | − | 11.9549i | 1.44621 | − | 0.834969i | ||||
\(206\) | −1.15581 | − | 0.962909i | −0.0805294 | − | 0.0670891i | ||||
\(207\) | −1.13664 | −0.0790017 | ||||||||
\(208\) | 11.3156 | + | 8.94182i | 0.784599 | + | 0.620004i | ||||
\(209\) | 0.555605 | 0.0384320 | ||||||||
\(210\) | 12.1262 | + | 10.1023i | 0.836786 | + | 0.697127i | ||||
\(211\) | −22.1972 | + | 12.8156i | −1.52812 | + | 0.882260i | −0.528678 | + | 0.848823i | \(0.677312\pi\) |
−0.999441 | + | 0.0334373i | \(0.989355\pi\) | |||||||
\(212\) | 5.02773 | + | 27.3815i | 0.345306 | + | 1.88057i | ||||
\(213\) | 13.0315 | − | 13.0315i | 0.892905 | − | 0.892905i | ||||
\(214\) | 5.26316 | + | 0.908887i | 0.359782 | + | 0.0621302i | ||||
\(215\) | −6.15354 | − | 22.9653i | −0.419668 | − | 1.56622i | ||||
\(216\) | −1.25918 | − | 0.709308i | −0.0856760 | − | 0.0482623i | ||||
\(217\) | −3.96835 | + | 6.87338i | −0.269389 | + | 0.466596i | ||||
\(218\) | −14.9618 | + | 1.36224i | −1.01334 | + | 0.0922623i | ||||
\(219\) | 3.91514 | + | 1.04906i | 0.264561 | + | 0.0708889i | ||||
\(220\) | 3.29158 | + | 3.86696i | 0.221918 | + | 0.260711i | ||||
\(221\) | −0.100408 | − | 6.57944i | −0.00675418 | − | 0.442581i | ||||
\(222\) | −4.25074 | + | 9.20042i | −0.285291 | + | 0.617492i | ||||
\(223\) | 2.24359 | − | 8.37321i | 0.150242 | − | 0.560712i | −0.849224 | − | 0.528033i | \(-0.822930\pi\) |
0.999466 | − | 0.0326783i | \(-0.0104037\pi\) | |||||||
\(224\) | −0.718867 | + | 10.3102i | −0.0480313 | + | 0.688879i | ||||
\(225\) | −3.49320 | − | 2.01680i | −0.232880 | − | 0.134453i | ||||
\(226\) | 17.5244 | − | 6.44851i | 1.16570 | − | 0.428948i | ||||
\(227\) | 1.30939 | − | 0.350850i | 0.0869071 | − | 0.0232867i | −0.215103 | − | 0.976591i | \(-0.569009\pi\) |
0.302011 | + | 0.953305i | \(0.402342\pi\) | |||||||
\(228\) | −2.20060 | − | 1.51783i | −0.145738 | − | 0.100521i | ||||
\(229\) | 3.96134 | + | 3.96134i | 0.261773 | + | 0.261773i | 0.825774 | − | 0.564001i | \(-0.190739\pi\) |
−0.564001 | + | 0.825774i | \(0.690739\pi\) | |||||||
\(230\) | 0.844027 | + | 1.19638i | 0.0556535 | + | 0.0788871i | ||||
\(231\) | −2.19768 | − | 3.80650i | −0.144597 | − | 0.250449i | ||||
\(232\) | 7.29832 | − | 0.0773153i | 0.479159 | − | 0.00507600i | ||||
\(233\) | − | 27.8959i | − | 1.82752i | −0.406249 | − | 0.913762i | \(-0.633164\pi\) | ||
0.406249 | − | 0.913762i | \(-0.366836\pi\) | |||||||
\(234\) | 11.0584 | + | 8.93042i | 0.722908 | + | 0.583800i | ||||
\(235\) | − | 16.6841i | − | 1.08835i | ||||||
\(236\) | −19.1963 | + | 9.11698i | −1.24957 | + | 0.593465i | ||||
\(237\) | −11.5156 | − | 19.9457i | −0.748021 | − | 1.29561i | ||||
\(238\) | 3.85314 | − | 2.71833i | 0.249762 | − | 0.176203i | ||||
\(239\) | 2.21384 | + | 2.21384i | 0.143202 | + | 0.143202i | 0.775073 | − | 0.631872i | \(-0.217713\pi\) |
−0.631872 | + | 0.775073i | \(0.717713\pi\) | |||||||
\(240\) | −2.47310 | − | 24.3081i | −0.159638 | − | 1.56908i | ||||
\(241\) | −18.3589 | + | 4.91926i | −1.18260 | + | 0.316877i | −0.795958 | − | 0.605352i | \(-0.793033\pi\) |
−0.386644 | + | 0.922229i | \(0.626366\pi\) | |||||||
\(242\) | −0.488379 | − | 1.32721i | −0.0313942 | − | 0.0853163i | ||||
\(243\) | −18.6569 | − | 10.7716i | −1.19684 | − | 0.690998i | ||||
\(244\) | 0.528265 | + | 0.188059i | 0.0338187 | + | 0.0120392i | ||||
\(245\) | 2.40652 | − | 8.98124i | 0.153747 | − | 0.573790i | ||||
\(246\) | 29.0838 | + | 13.4372i | 1.85432 | + | 0.856724i | ||||
\(247\) | −1.43797 | − | 1.39474i | −0.0914958 | − | 0.0887452i | ||||
\(248\) | 11.8338 | − | 3.30560i | 0.751447 | − | 0.209906i | ||||
\(249\) | 9.56512 | + | 2.56297i | 0.606165 | + | 0.162421i | ||||
\(250\) | −1.15683 | − | 12.7057i | −0.0731641 | − | 0.803579i | ||||
\(251\) | 6.63109 | − | 11.4854i | 0.418551 | − | 0.724951i | −0.577243 | − | 0.816572i | \(-0.695872\pi\) |
0.995794 | + | 0.0916213i | \(0.0292049\pi\) | |||||||
\(252\) | −0.816092 | + | 10.1533i | −0.0514090 | + | 0.639600i | ||||
\(253\) | −0.105533 | − | 0.393853i | −0.00663477 | − | 0.0247613i | ||||
\(254\) | −8.79391e−5 | 0 | 0.000509236i | −5.51779e−6 | 0 | 3.19523e-5i | ||||
\(255\) | −7.88280 | + | 7.88280i | −0.493640 | + | 0.493640i | ||||
\(256\) | 11.9613 | − | 10.6267i | 0.747583 | − | 0.664168i | ||||
\(257\) | −13.3274 | + | 7.69459i | −0.831342 | + | 0.479976i | −0.854312 | − | 0.519761i | \(-0.826021\pi\) |
0.0229699 | + | 0.999736i | \(0.492688\pi\) | |||||||
\(258\) | 20.3915 | − | 24.4766i | 1.26952 | − | 1.52385i | ||||
\(259\) | −5.44253 | −0.338182 | ||||||||
\(260\) | 1.18828 | − | 18.2710i | 0.0736938 | − | 1.13312i | ||||
\(261\) | 7.19340 | 0.445260 | ||||||||
\(262\) | −17.5437 | + | 21.0584i | −1.08385 | + | 1.30099i | ||||
\(263\) | 6.41656 | − | 3.70461i | 0.395662 | − | 0.228436i | −0.288948 | − | 0.957345i | \(-0.593306\pi\) |
0.684611 | + | 0.728909i | \(0.259972\pi\) | |||||||
\(264\) | −1.69141 | + | 6.59090i | −0.104099 | + | 0.405642i | ||||
\(265\) | 24.9914 | − | 24.9914i | 1.53521 | − | 1.53521i | ||||
\(266\) | 0.244292 | − | 1.41464i | 0.0149785 | − | 0.0867370i | ||||
\(267\) | −8.19653 | − | 30.5899i | −0.501619 | − | 1.87207i | ||||
\(268\) | −13.0480 | − | 1.04876i | −0.797034 | − | 0.0640631i | ||||
\(269\) | −9.03201 | + | 15.6439i | −0.550691 | + | 0.953826i | 0.447533 | + | 0.894267i | \(0.352303\pi\) |
−0.998225 | + | 0.0595583i | \(0.981031\pi\) | |||||||
\(270\) | 0.166363 | + | 1.82720i | 0.0101245 | + | 0.111200i | ||||
\(271\) | −16.6556 | − | 4.46284i | −1.01175 | − | 0.271098i | −0.285391 | − | 0.958411i | \(-0.592123\pi\) |
−0.726362 | + | 0.687313i | \(0.758790\pi\) | |||||||
\(272\) | −7.20637 | − | 1.16598i | −0.436950 | − | 0.0706980i | ||||
\(273\) | −3.86763 | + | 15.3685i | −0.234080 | + | 0.930145i | ||||
\(274\) | 20.2820 | + | 9.37062i | 1.22528 | + | 0.566100i | ||||
\(275\) | 0.374505 | − | 1.39767i | 0.0225835 | − | 0.0842828i | ||||
\(276\) | −0.657962 | + | 1.84824i | −0.0396047 | + | 0.111251i | ||||
\(277\) | −21.2902 | − | 12.2919i | −1.27920 | − | 0.738547i | −0.302500 | − | 0.953149i | \(-0.597821\pi\) |
−0.976702 | + | 0.214602i | \(0.931155\pi\) | |||||||
\(278\) | −6.60880 | − | 17.9600i | −0.396370 | − | 1.07717i | ||||
\(279\) | 11.6969 | − | 3.13417i | 0.700274 | − | 0.187638i | ||||
\(280\) | 11.2930 | − | 6.68052i | 0.674887 | − | 0.399238i | ||||
\(281\) | 6.57247 | + | 6.57247i | 0.392081 | + | 0.392081i | 0.875428 | − | 0.483348i | \(-0.160579\pi\) |
−0.483348 | + | 0.875428i | \(0.660579\pi\) | |||||||
\(282\) | 18.2674 | − | 12.8873i | 1.08781 | − | 0.767429i | ||||
\(283\) | −7.60110 | − | 13.1655i | −0.451839 | − | 0.782607i | 0.546662 | − | 0.837354i | \(-0.315898\pi\) |
−0.998500 | + | 0.0547461i | \(0.982565\pi\) | |||||||
\(284\) | −6.57288 | − | 13.8396i | −0.390029 | − | 0.821228i | ||||
\(285\) | 3.39386i | 0.201035i | ||||||||
\(286\) | −2.06773 | + | 4.66096i | −0.122267 | + | 0.275608i | ||||
\(287\) | 17.2046i | 1.01556i | ||||||||
\(288\) | 11.8990 | − | 10.3479i | 0.701155 | − | 0.609754i | ||||
\(289\) | −6.83465 | − | 11.8380i | −0.402038 | − | 0.696350i | ||||
\(290\) | −5.34157 | − | 7.57151i | −0.313668 | − | 0.444614i | ||||
\(291\) | 15.7090 | + | 15.7090i | 0.920878 | + | 0.920878i | ||||
\(292\) | 1.91321 | − | 2.77383i | 0.111962 | − | 0.162326i | ||||
\(293\) | 9.87627 | − | 2.64634i | 0.576978 | − | 0.154601i | 0.0414829 | − | 0.999139i | \(-0.486792\pi\) |
0.535495 | + | 0.844538i | \(0.320125\pi\) | |||||||
\(294\) | 11.6924 | − | 4.30250i | 0.681914 | − | 0.250927i | ||||
\(295\) | 23.3649 | + | 13.4897i | 1.36036 | + | 0.785403i | ||||
\(296\) | 6.02057 | + | 5.89435i | 0.349939 | + | 0.342602i | ||||
\(297\) | 0.132246 | − | 0.493549i | 0.00767370 | − | 0.0286386i | ||||
\(298\) | −4.38878 | + | 9.49920i | −0.254235 | + | 0.550274i | ||||
\(299\) | −0.715562 | + | 1.28426i | −0.0413820 | + | 0.0742704i | ||||
\(300\) | −5.30155 | + | 4.51271i | −0.306085 | + | 0.260542i | ||||
\(301\) | 16.5249 | + | 4.42784i | 0.952481 | + | 0.255217i | ||||
\(302\) | −25.2929 | + | 2.30286i | −1.45544 | + | 0.132515i | ||||
\(303\) | −20.6974 | + | 35.8490i | −1.18904 | + | 2.05947i | ||||
\(304\) | −1.80231 | + | 1.30031i | −0.103370 | + | 0.0745780i | ||||
\(305\) | −0.184250 | − | 0.687629i | −0.0105501 | − | 0.0393735i | ||||
\(306\) | −7.08980 | − | 1.22433i | −0.405297 | − | 0.0699900i | ||||
\(307\) | 15.9378 | − | 15.9378i | 0.909617 | − | 0.909617i | −0.0866245 | − | 0.996241i | \(-0.527608\pi\) |
0.996241 | + | 0.0866245i | \(0.0276080\pi\) | |||||||
\(308\) | −3.59397 | + | 0.659918i | −0.204786 | + | 0.0376023i | ||||
\(309\) | −2.21624 | + | 1.27955i | −0.126078 | + | 0.0727909i | ||||
\(310\) | −11.9846 | − | 9.98438i | −0.680680 | − | 0.567074i | ||||
\(311\) | 19.6181 | 1.11244 | 0.556219 | − | 0.831036i | \(-0.312251\pi\) | ||||
0.556219 | + | 0.831036i | \(0.312251\pi\) | |||||||
\(312\) | 20.9228 | − | 12.8121i | 1.18452 | − | 0.725341i | ||||
\(313\) | 14.8175 | 0.837532 | 0.418766 | − | 0.908094i | \(-0.362463\pi\) | ||||
0.418766 | + | 0.908094i | \(0.362463\pi\) | |||||||
\(314\) | 11.8411 | + | 9.86484i | 0.668233 | + | 0.556705i | ||||
\(315\) | 11.1992 | − | 6.46584i | 0.631002 | − | 0.364309i | ||||
\(316\) | −18.8321 | + | 3.45790i | −1.05939 | + | 0.194522i | ||||
\(317\) | −23.1267 | + | 23.1267i | −1.29892 | + | 1.29892i | −0.369821 | + | 0.929103i | \(0.620581\pi\) |
−0.929103 | + | 0.369821i | \(0.879419\pi\) | |||||||
\(318\) | 46.6672 | + | 8.05888i | 2.61696 | + | 0.451919i | ||||
\(319\) | 0.667881 | + | 2.49256i | 0.0373941 | + | 0.139557i | ||||
\(320\) | −19.7275 | − | 4.84048i | −1.10280 | − | 0.270591i | ||||
\(321\) | 4.54289 | − | 7.86851i | 0.253559 | − | 0.439178i | ||||
\(322\) | −1.04920 | + | 0.0955273i | −0.0584695 | + | 0.00532353i | ||||
\(323\) | 0.979440 | + | 0.262440i | 0.0544975 | + | 0.0146026i | ||||
\(324\) | −14.6084 | + | 12.4348i | −0.811580 | + | 0.690822i | ||||
\(325\) | −4.47785 | + | 2.67721i | −0.248387 | + | 0.148505i | ||||
\(326\) | −10.8211 | + | 23.4216i | −0.599328 | + | 1.29720i | ||||
\(327\) | −6.61464 | + | 24.6862i | −0.365790 | + | 1.36515i | ||||
\(328\) | 18.6329 | − | 19.0319i | 1.02883 | − | 1.05086i | ||||
\(329\) | 10.3968 | + | 6.00261i | 0.573196 | + | 0.330935i | ||||
\(330\) | 8.10713 | − | 2.98322i | 0.446283 | − | 0.164221i | ||||
\(331\) | −4.58825 | + | 1.22942i | −0.252193 | + | 0.0675749i | −0.382701 | − | 0.923872i | \(-0.625006\pi\) |
0.130508 | + | 0.991447i | \(0.458339\pi\) | |||||||
\(332\) | 4.67418 | − | 6.77677i | 0.256529 | − | 0.371924i | ||||
\(333\) | 5.87181 | + | 5.87181i | 0.321773 | + | 0.321773i | ||||
\(334\) | −1.01841 | − | 1.44356i | −0.0557249 | − | 0.0789883i | ||||
\(335\) | 8.30923 | + | 14.3920i | 0.453982 | + | 0.786320i | ||||
\(336\) | 16.0376 | + | 7.20445i | 0.874921 | + | 0.393035i | ||||
\(337\) | 29.4985i | 1.60689i | 0.595380 | + | 0.803444i | \(0.297001\pi\) | ||||
−0.595380 | + | 0.803444i | \(0.702999\pi\) | |||||||
\(338\) | 17.0520 | − | 6.87246i | 0.927504 | − | 0.373813i | ||||
\(339\) | − | 31.7652i | − | 1.72525i | ||||||
\(340\) | 3.97596 | + | 8.37160i | 0.215626 | + | 0.454014i | ||||
\(341\) | 2.17202 | + | 3.76206i | 0.117622 | + | 0.203727i | ||||
\(342\) | −1.78978 | + | 1.26266i | −0.0967801 | + | 0.0682767i | ||||
\(343\) | 13.7742 | + | 13.7742i | 0.743739 | + | 0.743739i | ||||
\(344\) | −13.4846 | − | 22.7949i | −0.727040 | − | 1.22902i | ||||
\(345\) | 2.40581 | − | 0.644635i | 0.129524 | − | 0.0347060i | ||||
\(346\) | 1.07247 | + | 2.91453i | 0.0576564 | + | 0.156686i | ||||
\(347\) | 13.8312 | + | 7.98543i | 0.742496 | + | 0.428681i | 0.822976 | − | 0.568076i | \(-0.192312\pi\) |
−0.0804798 | + | 0.996756i | \(0.525645\pi\) | |||||||
\(348\) | 4.16403 | − | 11.6969i | 0.223215 | − | 0.627021i | ||||
\(349\) | −5.09751 | + | 19.0242i | −0.272863 | + | 1.01834i | 0.684396 | + | 0.729110i | \(0.260066\pi\) |
−0.957260 | + | 0.289230i | \(0.906601\pi\) | |||||||
\(350\) | −3.39398 | − | 1.56807i | −0.181416 | − | 0.0838170i | ||||
\(351\) | −1.58123 | + | 0.945384i | −0.0843998 | + | 0.0504609i | ||||
\(352\) | 4.69038 | + | 3.16233i | 0.249998 | + | 0.168553i | ||||
\(353\) | 15.8500 | + | 4.24699i | 0.843610 | + | 0.226045i | 0.654642 | − | 0.755939i | \(-0.272819\pi\) |
0.188968 | + | 0.981983i | \(0.439486\pi\) | |||||||
\(354\) | 3.27791 | + | 36.0021i | 0.174219 | + | 1.91349i | ||||
\(355\) | −9.72542 | + | 16.8449i | −0.516172 | + | 0.894036i | ||||
\(356\) | −26.2431 | − | 2.10934i | −1.39088 | − | 0.111795i | ||||
\(357\) | −2.07615 | − | 7.74830i | −0.109882 | − | 0.410084i | ||||
\(358\) | −3.93779 | + | 22.8028i | −0.208118 | + | 1.20517i | ||||
\(359\) | −24.5187 | + | 24.5187i | −1.29405 | + | 1.29405i | −0.361785 | + | 0.932261i | \(0.617833\pi\) |
−0.932261 | + | 0.361785i | \(0.882167\pi\) | |||||||
\(360\) | −19.3912 | − | 4.97632i | −1.02201 | − | 0.262275i | ||||
\(361\) | −16.1871 | + | 9.34565i | −0.851955 | + | 0.491876i | ||||
\(362\) | −0.851666 | + | 1.02229i | −0.0447626 | + | 0.0537301i | ||||
\(363\) | −2.40574 | −0.126269 | ||||||||
\(364\) | 10.9582 | + | 7.31404i | 0.574367 | + | 0.383360i | ||||
\(365\) | −4.27792 | −0.223916 | ||||||||
\(366\) | 0.610563 | − | 0.732880i | 0.0319146 | − | 0.0383083i | ||||
\(367\) | −10.4536 | + | 6.03540i | −0.545674 | + | 0.315045i | −0.747375 | − | 0.664402i | \(-0.768686\pi\) |
0.201701 | + | 0.979447i | \(0.435353\pi\) | |||||||
\(368\) | 1.26409 | + | 1.03063i | 0.0658952 | + | 0.0537251i | ||||
\(369\) | 18.5616 | − | 18.5616i | 0.966280 | − | 0.966280i | ||||
\(370\) | 1.82025 | − | 10.5407i | 0.0946302 | − | 0.547983i | ||||
\(371\) | 6.58217 | + | 24.5650i | 0.341729 | + | 1.27535i | ||||
\(372\) | 1.67458 | − | 20.8341i | 0.0868230 | − | 1.08020i | ||||
\(373\) | 6.05075 | − | 10.4802i | 0.313296 | − | 0.542644i | −0.665778 | − | 0.746150i | \(-0.731900\pi\) |
0.979074 | + | 0.203506i | \(0.0652335\pi\) | |||||||
\(374\) | −0.234024 | − | 2.57034i | −0.0121011 | − | 0.132909i | ||||
\(375\) | −20.9638 | − | 5.61723i | −1.08256 | − | 0.290072i | ||||
\(376\) | −5.00013 | − | 17.9001i | −0.257862 | − | 0.923126i | ||||
\(377\) | 4.52856 | − | 8.12763i | 0.233232 | − | 0.418594i | ||||
\(378\) | −1.19849 | − | 0.553722i | −0.0616437 | − | 0.0284804i | ||||
\(379\) | 3.89147 | − | 14.5232i | 0.199891 | − | 0.746005i | −0.791055 | − | 0.611745i | \(-0.790468\pi\) |
0.990946 | − | 0.134260i | \(-0.0428656\pi\) | |||||||
\(380\) | 2.65805 | + | 0.946248i | 0.136355 | + | 0.0485415i | ||||
\(381\) | 0.000761316 | 0 | 0.000439546i | 3.90034e−5 | 0 | 2.25186e-5i | ||||
\(382\) | −3.75291 | − | 10.1989i | −0.192016 | − | 0.521819i | ||||
\(383\) | 7.25154 | − | 1.94304i | 0.370536 | − | 0.0992849i | −0.0687455 | − | 0.997634i | \(-0.521900\pi\) |
0.439282 | + | 0.898349i | \(0.355233\pi\) | |||||||
\(384\) | −9.93834 | − | 25.3386i | −0.507164 | − | 1.29305i | ||||
\(385\) | 3.28026 | + | 3.28026i | 0.167178 | + | 0.167178i | ||||
\(386\) | −0.995162 | + | 0.702070i | −0.0506524 | + | 0.0357344i | ||||
\(387\) | −13.0513 | − | 22.6054i | −0.663433 | − | 1.14910i | ||||
\(388\) | 16.6831 | − | 7.92336i | 0.846955 | − | 0.402248i | ||||
\(389\) | − | 3.50382i | − | 0.177651i | −0.996047 | − | 0.0888254i | \(-0.971689\pi\) | ||
0.996047 | − | 0.0888254i | \(-0.0283113\pi\) | |||||||
\(390\) | −28.4710 | − | 12.6305i | −1.44168 | − | 0.639570i | ||||
\(391\) | − | 0.744146i | − | 0.0376331i | ||||||
\(392\) | −0.109718 | − | 10.3570i | −0.00554159 | − | 0.523109i | ||||
\(393\) | 23.3127 | + | 40.3788i | 1.17597 | + | 2.03684i | ||||
\(394\) | −10.2393 | − | 14.5139i | −0.515850 | − | 0.731201i | ||||
\(395\) | 17.1882 | + | 17.1882i | 0.864834 | + | 0.864834i | ||||
\(396\) | 4.58942 | + | 3.16548i | 0.230627 | + | 0.159071i | ||||
\(397\) | −33.3188 | + | 8.92773i | −1.67222 | + | 0.448070i | −0.965708 | − | 0.259631i | \(-0.916399\pi\) |
−0.706512 | + | 0.707701i | \(0.749733\pi\) | |||||||
\(398\) | 12.8104 | − | 4.71391i | 0.642129 | − | 0.236287i | ||||
\(399\) | −2.11491 | − | 1.22104i | −0.105878 | − | 0.0611286i | ||||
\(400\) | 2.05620 | + | 5.41035i | 0.102810 | + | 0.270518i | ||||
\(401\) | 7.99351 | − | 29.8322i | 0.399177 | − | 1.48975i | −0.415371 | − | 0.909652i | \(-0.636348\pi\) |
0.814548 | − | 0.580096i | \(-0.196985\pi\) | |||||||
\(402\) | −9.33946 | + | 20.2146i | −0.465810 | + | 1.00821i | ||||
\(403\) | 3.82247 | − | 15.1891i | 0.190411 | − | 0.756622i | ||||
\(404\) | 22.3061 | + | 26.2053i | 1.10977 | + | 1.30376i | ||||
\(405\) | 23.5252 | + | 6.30357i | 1.16898 | + | 0.313227i | ||||
\(406\) | 6.64003 | − | 0.604561i | 0.329539 | − | 0.0300038i | ||||
\(407\) | −1.48945 | + | 2.57980i | −0.0738292 | + | 0.127876i | ||||
\(408\) | −6.09489 | + | 10.8197i | −0.301742 | + | 0.535657i | ||||
\(409\) | 2.83205 | + | 10.5693i | 0.140036 | + | 0.522620i | 0.999926 | + | 0.0121419i | \(0.00386497\pi\) |
−0.859891 | + | 0.510478i | \(0.829468\pi\) | |||||||
\(410\) | −33.3205 | − | 5.75406i | −1.64558 | − | 0.284173i | ||||
\(411\) | 26.8747 | − | 26.8747i | 1.32563 | − | 1.32563i | ||||
\(412\) | 0.384221 | + | 2.09250i | 0.0189292 | + | 0.103090i | ||||
\(413\) | −16.8125 | + | 9.70668i | −0.827287 | + | 0.477635i | ||||
\(414\) | 1.23502 | + | 1.02889i | 0.0606978 | + | 0.0505673i | ||||
\(415\) | −10.4514 | −0.513040 | ||||||||
\(416\) | −4.20084 | − | 19.9588i | −0.205963 | − | 0.978560i | ||||
\(417\) | −32.5548 | −1.59422 | ||||||||
\(418\) | −0.603694 | − | 0.502938i | −0.0295276 | − | 0.0245995i | ||||
\(419\) | 8.00742 | − | 4.62309i | 0.391188 | − | 0.225852i | −0.291487 | − | 0.956575i | \(-0.594150\pi\) |
0.682675 | + | 0.730722i | \(0.260817\pi\) | |||||||
\(420\) | −4.03104 | − | 21.9534i | −0.196695 | − | 1.07122i | ||||
\(421\) | 5.42910 | − | 5.42910i | 0.264598 | − | 0.264598i | −0.562321 | − | 0.826919i | \(-0.690091\pi\) |
0.826919 | + | 0.562321i | \(0.190091\pi\) | |||||||
\(422\) | 35.7192 | + | 6.16829i | 1.73878 | + | 0.300268i | ||||
\(423\) | −4.74081 | − | 17.6930i | −0.230506 | − | 0.860261i | ||||
\(424\) | 19.3231 | − | 34.3026i | 0.938410 | − | 1.66588i | ||||
\(425\) | 1.32038 | − | 2.28697i | 0.0640479 | − | 0.110934i | ||||
\(426\) | −25.9557 | + | 2.36321i | −1.25756 | + | 0.114498i | ||||
\(427\) | 0.494791 | + | 0.132579i | 0.0239446 | + | 0.00641593i | ||||
\(428\) | −4.89597 | − | 5.75181i | −0.236656 | − | 0.278024i | ||||
\(429\) | 6.22635 | + | 6.03916i | 0.300611 | + | 0.291574i | ||||
\(430\) | −14.1022 | + | 30.5233i | −0.680070 | + | 1.47196i | ||||
\(431\) | 7.07133 | − | 26.3906i | 0.340614 | − | 1.27119i | −0.557039 | − | 0.830486i | \(-0.688063\pi\) |
0.897653 | − | 0.440702i | \(-0.145271\pi\) | |||||||
\(432\) | 0.726090 | + | 1.91052i | 0.0349340 | + | 0.0919198i | ||||
\(433\) | −27.8956 | − | 16.1055i | −1.34058 | − | 0.773982i | −0.353684 | − | 0.935365i | \(-0.615071\pi\) |
−0.986892 | + | 0.161383i | \(0.948405\pi\) | |||||||
\(434\) | 10.5337 | − | 3.87612i | 0.505632 | − | 0.186060i | ||||
\(435\) | −15.2256 | + | 4.07968i | −0.730011 | + | 0.195606i | ||||
\(436\) | 17.4899 | + | 12.0634i | 0.837612 | + | 0.577730i | ||||
\(437\) | −0.160192 | − | 0.160192i | −0.00766302 | − | 0.00766302i | ||||
\(438\) | −3.30440 | − | 4.68388i | −0.157890 | − | 0.223804i | ||||
\(439\) | −6.89671 | − | 11.9454i | −0.329162 | − | 0.570125i | 0.653184 | − | 0.757199i | \(-0.273433\pi\) |
−0.982346 | + | 0.187074i | \(0.940100\pi\) | |||||||
\(440\) | −0.0760748 | − | 7.18123i | −0.00362672 | − | 0.342352i | ||||
\(441\) | − | 10.2081i | − | 0.486101i | ||||||
\(442\) | −5.84667 | + | 7.23981i | −0.278098 | + | 0.344363i | ||||
\(443\) | 12.9612i | 0.615805i | 0.951418 | + | 0.307903i | \(0.0996271\pi\) | ||||
−0.951418 | + | 0.307903i | \(0.900373\pi\) | |||||||
\(444\) | 12.9469 | − | 6.14895i | 0.614435 | − | 0.291816i | ||||
\(445\) | 16.7121 | + | 28.9463i | 0.792232 | + | 1.37219i | ||||
\(446\) | −10.0173 | + | 7.06702i | −0.474332 | + | 0.334633i | ||||
\(447\) | 12.5869 | + | 12.5869i | 0.595340 | + | 0.595340i | ||||
\(448\) | 10.1140 | − | 10.5519i | 0.477840 | − | 0.498529i | ||||
\(449\) | −31.1615 | + | 8.34971i | −1.47060 | + | 0.394047i | −0.903138 | − | 0.429350i | \(-0.858743\pi\) |
−0.567465 | + | 0.823397i | \(0.692076\pi\) | |||||||
\(450\) | 1.96993 | + | 5.35344i | 0.0928633 | + | 0.252363i | ||||
\(451\) | 8.15511 | + | 4.70836i | 0.384009 | + | 0.221708i | ||||
\(452\) | −24.8784 | − | 8.85653i | −1.17018 | − | 0.416576i | ||||
\(453\) | −11.1820 | + | 41.7320i | −0.525378 | + | 1.96074i | ||||
\(454\) | −1.74031 | − | 0.804052i | −0.0816769 | − | 0.0377360i | ||||
\(455\) | −0.255226 | − | 16.7242i | −0.0119652 | − | 0.784041i | ||||
\(456\) | 1.01712 | + | 3.64121i | 0.0476310 | + | 0.170515i | ||||
\(457\) | −4.40983 | − | 1.18161i | −0.206283 | − | 0.0552734i | 0.154198 | − | 0.988040i | \(-0.450721\pi\) |
−0.360481 | + | 0.932767i | \(0.617387\pi\) | |||||||
\(458\) | −0.718371 | − | 7.89004i | −0.0335673 | − | 0.368677i | ||||
\(459\) | 0.466256 | − | 0.807580i | 0.0217630 | − | 0.0376946i | ||||
\(460\) | 0.165894 | − | 2.06395i | 0.00773484 | − | 0.0962323i | ||||
\(461\) | 1.77634 | + | 6.62938i | 0.0827323 | + | 0.308761i | 0.994875 | − | 0.101111i | \(-0.0322399\pi\) |
−0.912143 | + | 0.409872i | \(0.865573\pi\) | |||||||
\(462\) | −1.05777 | + | 6.12532i | −0.0492120 | + | 0.284976i | ||||
\(463\) | −27.1047 | + | 27.1047i | −1.25966 | + | 1.25966i | −0.308407 | + | 0.951254i | \(0.599796\pi\) |
−0.951254 | + | 0.308407i | \(0.900204\pi\) | |||||||
\(464\) | −8.00001 | − | 6.52249i | −0.371391 | − | 0.302799i | ||||
\(465\) | −22.9801 | + | 13.2676i | −1.06568 | + | 0.615270i | ||||
\(466\) | −25.2516 | + | 30.3104i | −1.16976 | + | 1.40410i | ||||
\(467\) | 38.1074 | 1.76340 | 0.881700 | − | 0.471811i | \(-0.156399\pi\) | ||||
0.881700 | + | 0.471811i | \(0.156399\pi\) | |||||||
\(468\) | −3.93161 | − | 19.7135i | −0.181739 | − | 0.911257i | ||||
\(469\) | −11.9580 | −0.552169 | ||||||||
\(470\) | −15.1026 | + | 18.1282i | −0.696630 | + | 0.836190i | ||||
\(471\) | 22.7050 | − | 13.1087i | 1.04619 | − | 0.604019i | ||||
\(472\) | 29.1106 | + | 7.47057i | 1.33992 | + | 0.343861i | ||||
\(473\) | 6.62118 | − | 6.62118i | 0.304442 | − | 0.304442i | ||||
\(474\) | −5.54262 | + | 32.0961i | −0.254581 | + | 1.47422i | ||||
\(475\) | −0.208077 | − | 0.776553i | −0.00954721 | − | 0.0356307i | ||||
\(476\) | −6.64730 | − | 0.534288i | −0.304678 | − | 0.0244891i | ||||
\(477\) | 19.4012 | − | 33.6039i | 0.888322 | − | 1.53862i | ||||
\(478\) | −0.401471 | − | 4.40945i | −0.0183628 | − | 0.201683i | ||||
\(479\) | −19.2024 | − | 5.14527i | −0.877381 | − | 0.235094i | −0.208104 | − | 0.978107i | \(-0.566729\pi\) |
−0.669277 | + | 0.743013i | \(0.733396\pi\) | |||||||
\(480\) | −19.3168 | + | 28.6507i | −0.881685 | + | 1.30772i | ||||
\(481\) | 10.3310 | − | 2.93785i | 0.471051 | − | 0.133954i | ||||
\(482\) | 24.4009 | + | 11.2736i | 1.11143 | + | 0.513499i | ||||
\(483\) | −0.463854 | + | 1.73113i | −0.0211061 | + | 0.0787690i | ||||
\(484\) | −0.670751 | + | 1.88417i | −0.0304887 | + | 0.0856441i | ||||
\(485\) | −20.3059 | − | 11.7236i | −0.922044 | − | 0.532342i | ||||
\(486\) | 10.5212 | + | 28.5923i | 0.477253 | + | 1.29697i | ||||
\(487\) | −26.1158 | + | 6.99771i | −1.18342 | + | 0.317097i | −0.796282 | − | 0.604925i | \(-0.793203\pi\) |
−0.387138 | + | 0.922022i | \(0.626536\pi\) | |||||||
\(488\) | −0.403756 | − | 0.682526i | −0.0182772 | − | 0.0308965i | ||||
\(489\) | 31.0348 | + | 31.0348i | 1.40344 | + | 1.40344i | ||||
\(490\) | −10.7447 | + | 7.58020i | −0.485396 | + | 0.342438i | ||||
\(491\) | 14.0151 | + | 24.2749i | 0.632495 | + | 1.09551i | 0.987040 | + | 0.160474i | \(0.0513024\pi\) |
−0.354545 | + | 0.935039i | \(0.615364\pi\) | |||||||
\(492\) | −19.4377 | − | 40.9271i | −0.876318 | − | 1.84514i | ||||
\(493\) | 4.70945i | 0.212103i | ||||||||
\(494\) | 0.299901 | + | 2.81712i | 0.0134932 | + | 0.126748i | ||||
\(495\) | − | 7.07799i | − | 0.318132i | ||||||
\(496\) | −15.8503 | − | 7.12034i | −0.711700 | − | 0.319713i | ||||
\(497\) | −6.99803 | − | 12.1209i | −0.313904 | − | 0.543698i | ||||
\(498\) | −8.07300 | − | 11.4432i | −0.361760 | − | 0.512783i | ||||
\(499\) | −12.0487 | − | 12.0487i | −0.539372 | − | 0.539372i | 0.383973 | − | 0.923344i | \(-0.374556\pi\) |
−0.923344 | + | 0.383973i | \(0.874556\pi\) | |||||||
\(500\) | −10.2443 | + | 14.8526i | −0.458141 | + | 0.664228i | ||||
\(501\) | −2.90287 | + | 0.777822i | −0.129691 | + | 0.0347505i | ||||
\(502\) | −17.6017 | + | 6.47697i | −0.785602 | + | 0.289081i | ||||
\(503\) | 19.4083 | + | 11.2054i | 0.865374 | + | 0.499624i | 0.865808 | − | 0.500376i | \(-0.166805\pi\) |
−0.000434468 | 1.00000i | \(0.500138\pi\) | ||||||||
\(504\) | 10.0776 | − | 10.2934i | 0.448892 | − | 0.458505i | ||||
\(505\) | 11.3076 | − | 42.2006i | 0.503183 | − | 1.87790i | ||||
\(506\) | −0.241852 | + | 0.523471i | −0.0107516 | + | 0.0232711i | ||||
\(507\) | −0.954336 | − | 31.2601i | −0.0423836 | − | 1.38831i | ||||
\(508\) | 0.000556515 | 0 | 0.000473709i | 2.46913e−5 | 0 | 2.10174e-5i | ||||
\(509\) | 22.7953 | + | 6.10799i | 1.01038 | + | 0.270732i | 0.725790 | − | 0.687916i | \(-0.241474\pi\) |
0.284595 | + | 0.958648i | \(0.408141\pi\) | |||||||
\(510\) | 15.7007 | − | 1.42951i | 0.695237 | − | 0.0632998i | ||||
\(511\) | 1.53911 | − | 2.66582i | 0.0680862 | − | 0.117929i | ||||
\(512\) | −22.6160 | + | 0.718967i | −0.999495 | + | 0.0317742i | ||||
\(513\) | −0.0734766 | − | 0.274218i | −0.00324407 | − | 0.0121070i | ||||
\(514\) | 21.4462 | + | 3.70350i | 0.945950 | + | 0.163355i | ||||
\(515\) | 1.90985 | − | 1.90985i | 0.0841582 | − | 0.0841582i | ||||
\(516\) | −44.3128 | + | 8.13663i | −1.95076 | + | 0.358195i | ||||
\(517\) | 5.69057 | − | 3.28545i | 0.250271 | − | 0.144494i | ||||
\(518\) | 5.91360 | + | 4.92662i | 0.259829 | + | 0.216463i | ||||
\(519\) | 5.28297 | 0.231897 | ||||||||
\(520\) | −17.8302 | + | 18.7768i | −0.781907 | + | 0.823418i | ||||
\(521\) | −4.62365 | −0.202566 | −0.101283 | − | 0.994858i | \(-0.532295\pi\) | ||||
−0.101283 | + | 0.994858i | \(0.532295\pi\) | |||||||
\(522\) | −7.81602 | − | 6.51152i | −0.342098 | − | 0.285002i | ||||
\(523\) | −8.00011 | + | 4.61887i | −0.349820 | + | 0.201969i | −0.664606 | − | 0.747194i | \(-0.731401\pi\) |
0.314786 | + | 0.949163i | \(0.398067\pi\) | |||||||
\(524\) | 38.1244 | − | 7.00032i | 1.66547 | − | 0.305810i | ||||
\(525\) | −4.49719 | + | 4.49719i | −0.196273 | + | 0.196273i | ||||
\(526\) | −10.3254 | − | 1.78307i | −0.450208 | − | 0.0777457i | ||||
\(527\) | 2.05191 | + | 7.65784i | 0.0893827 | + | 0.333581i | ||||
\(528\) | 7.80394 | − | 5.63030i | 0.339623 | − | 0.245027i | ||||
\(529\) | 11.4169 | − | 19.7746i | 0.496386 | − | 0.859765i | ||||
\(530\) | −49.7769 | + | 4.53208i | −2.16217 | + | 0.196861i | ||||
\(531\) | 28.6109 | + | 7.66626i | 1.24161 | + | 0.332687i | ||||
\(532\) | −1.54598 | + | 1.31595i | −0.0670266 | + | 0.0570535i | ||||
\(533\) | −9.28694 | − | 32.6576i | −0.402262 | − | 1.41456i | ||||
\(534\) | −18.7842 | + | 40.6571i | −0.812873 | + | 1.75940i | ||||
\(535\) | −2.48191 | + | 9.26263i | −0.107303 | + | 0.400458i | ||||
\(536\) | 13.2280 | + | 12.9507i | 0.571364 | + | 0.559385i | ||||
\(537\) | 34.0906 | + | 19.6822i | 1.47112 | + | 0.849351i | ||||
\(538\) | 23.9747 | − | 8.82209i | 1.03362 | − | 0.380347i | ||||
\(539\) | 3.53719 | − | 0.947787i | 0.152357 | − | 0.0408241i | ||||
\(540\) | 1.47324 | − | 2.13595i | 0.0633981 | − | 0.0919166i | ||||
\(541\) | −26.8724 | − | 26.8724i | −1.15533 | − | 1.15533i | −0.985467 | − | 0.169867i | \(-0.945666\pi\) |
−0.169867 | − | 0.985467i | \(-0.554334\pi\) | |||||||
\(542\) | 14.0573 | + | 19.9259i | 0.603815 | + | 0.855889i | ||||
\(543\) | 1.13172 | + | 1.96020i | 0.0485669 | + | 0.0841204i | ||||
\(544\) | 6.77465 | + | 7.79016i | 0.290461 | + | 0.334001i | ||||
\(545\) | − | 26.9736i | − | 1.15542i | ||||||
\(546\) | 18.1141 | − | 13.1977i | 0.775212 | − | 0.564810i | ||||
\(547\) | − | 13.8628i | − | 0.592730i | −0.955075 | − | 0.296365i | \(-0.904226\pi\) | ||
0.955075 | − | 0.296365i | \(-0.0957745\pi\) | |||||||
\(548\) | −13.5551 | − | 28.5411i | −0.579047 | − | 1.21922i | ||||
\(549\) | −0.390782 | − | 0.676854i | −0.0166782 | − | 0.0288874i | ||||
\(550\) | −1.67210 | + | 1.17964i | −0.0712987 | + | 0.0503000i | ||||
\(551\) | 1.01380 | + | 1.01380i | 0.0431894 | + | 0.0431894i | ||||
\(552\) | 2.38796 | − | 1.41262i | 0.101638 | − | 0.0601253i | ||||
\(553\) | −16.8950 | + | 4.52699i | −0.718447 | + | 0.192507i | ||||
\(554\) | 12.0062 | + | 32.6278i | 0.510094 | + | 1.38622i | ||||
\(555\) | −15.7585 | − | 9.09815i | −0.668909 | − | 0.386195i | ||||
\(556\) | −9.07668 | + | 25.4968i | −0.384937 | + | 1.08131i | ||||
\(557\) | 2.97030 | − | 11.0853i | 0.125856 | − | 0.469699i | −0.874013 | − | 0.485902i | \(-0.838491\pi\) |
0.999869 | + | 0.0162028i | \(0.00515775\pi\) | |||||||
\(558\) | −15.5464 | − | 7.18267i | −0.658130 | − | 0.304067i | ||||
\(559\) | −33.7576 | + | 0.515171i | −1.42779 | + | 0.0217894i | ||||
\(560\) | −18.3177 | − | 2.96379i | −0.774066 | − | 0.125243i | ||||
\(561\) | −4.24093 | − | 1.13635i | −0.179052 | − | 0.0479769i | ||||
\(562\) | −1.19189 | − | 13.0908i | −0.0502768 | − | 0.552202i | ||||
\(563\) | 9.92456 | − | 17.1898i | 0.418271 | − | 0.724466i | −0.577495 | − | 0.816394i | \(-0.695970\pi\) |
0.995766 | + | 0.0919284i | \(0.0293031\pi\) | |||||||
\(564\) | −31.5142 | − | 2.53301i | −1.32699 | − | 0.106659i | ||||
\(565\) | 8.67714 | + | 32.3835i | 0.365050 | + | 1.36239i | ||||
\(566\) | −3.65851 | + | 21.1856i | −0.153778 | + | 0.890497i | ||||
\(567\) | −12.3920 | + | 12.3920i | −0.520416 | + | 0.520416i | ||||
\(568\) | −5.38590 | + | 20.9873i | −0.225987 | + | 0.880606i | ||||
\(569\) | 7.50004 | − | 4.33015i | 0.314418 | − | 0.181529i | −0.334484 | − | 0.942402i | \(-0.608562\pi\) |
0.648902 | + | 0.760872i | \(0.275229\pi\) | |||||||
\(570\) | 3.07215 | − | 3.68761i | 0.128678 | − | 0.154457i | ||||
\(571\) | −35.9118 | −1.50286 | −0.751431 | − | 0.659811i | \(-0.770636\pi\) | ||||
−0.751431 | + | 0.659811i | \(0.770636\pi\) | |||||||
\(572\) | 6.46583 | − | 3.19266i | 0.270350 | − | 0.133492i | ||||
\(573\) | −18.4868 | −0.772296 | ||||||||
\(574\) | 15.5737 | − | 18.6937i | 0.650035 | − | 0.780261i | ||||
\(575\) | −0.510954 | + | 0.295000i | −0.0213083 | + | 0.0123023i | ||||
\(576\) | −22.2959 | + | 0.472438i | −0.928994 | + | 0.0196849i | ||||
\(577\) | 1.56725 | − | 1.56725i | 0.0652455 | − | 0.0652455i | −0.673731 | − | 0.738977i | \(-0.735309\pi\) |
0.738977 | + | 0.673731i | \(0.235309\pi\) | |||||||
\(578\) | −3.28960 | + | 19.0494i | −0.136829 | + | 0.792349i | ||||
\(579\) | 0.536214 | + | 2.00118i | 0.0222843 | + | 0.0831661i | ||||
\(580\) | −1.04989 | + | 13.0621i | −0.0435942 | + | 0.542373i | ||||
\(581\) | 3.76021 | − | 6.51288i | 0.156000 | − | 0.270200i | ||||
\(582\) | −2.84876 | − | 31.2886i | −0.118085 | − | 1.29695i | ||||
\(583\) | 13.4453 | + | 3.60267i | 0.556849 | + | 0.149207i | ||||
\(584\) | −4.58970 | + | 1.28207i | −0.189923 | + | 0.0530523i | ||||
\(585\) | −17.7679 | + | 18.3187i | −0.734614 | + | 0.757383i | ||||
\(586\) | −13.1266 | − | 6.06469i | −0.542254 | − | 0.250530i | ||||
\(587\) | −4.21243 | + | 15.7210i | −0.173866 | + | 0.648875i | 0.822876 | + | 0.568220i | \(0.192368\pi\) |
−0.996742 | + | 0.0806550i | \(0.974299\pi\) | |||||||
\(588\) | −16.5991 | − | 5.90915i | −0.684534 | − | 0.243689i | ||||
\(589\) | 2.09022 | + | 1.20679i | 0.0861258 | + | 0.0497248i | ||||
\(590\) | −13.1762 | − | 35.8074i | −0.542456 | − | 1.47417i | ||||
\(591\) | −29.1861 | + | 7.82040i | −1.20056 | + | 0.321688i | ||||
\(592\) | −1.20606 | − | 11.8544i | −0.0495688 | − | 0.487213i | ||||
\(593\) | −16.9247 | − | 16.9247i | −0.695013 | − | 0.695013i | 0.268318 | − | 0.963331i | \(-0.413532\pi\) |
−0.963331 | + | 0.268318i | \(0.913532\pi\) | |||||||
\(594\) | −0.590457 | + | 0.416558i | −0.0242268 | + | 0.0170916i | ||||
\(595\) | 4.23313 | + | 7.33199i | 0.173541 | + | 0.300582i | ||||
\(596\) | 13.3674 | − | 6.34863i | 0.547550 | − | 0.260050i | ||||
\(597\) | − | 23.2206i | − | 0.950357i | ||||||
\(598\) | 1.94001 | − | 0.747680i | 0.0793331 | − | 0.0305749i | ||||
\(599\) | 21.1584i | 0.864508i | 0.901752 | + | 0.432254i | \(0.142282\pi\) | ||||
−0.901752 | + | 0.432254i | \(0.857718\pi\) | |||||||
\(600\) | 9.84536 | − | 0.104297i | 0.401935 | − | 0.00425793i | ||||
\(601\) | 6.16078 | + | 10.6708i | 0.251303 | + | 0.435270i | 0.963885 | − | 0.266319i | \(-0.0858075\pi\) |
−0.712582 | + | 0.701589i | \(0.752474\pi\) | |||||||
\(602\) | −13.9471 | − | 19.7696i | −0.568442 | − | 0.805748i | ||||
\(603\) | 12.9012 | + | 12.9012i | 0.525377 | + | 0.525377i | ||||
\(604\) | 29.5666 | + | 20.3931i | 1.20305 | + | 0.829784i | ||||
\(605\) | 2.45257 | − | 0.657165i | 0.0997112 | − | 0.0267175i | ||||
\(606\) | 54.9397 | − | 20.2164i | 2.23177 | − | 0.821235i | ||||
\(607\) | 42.4301 | + | 24.4970i | 1.72218 | + | 0.994303i | 0.914386 | + | 0.404843i | \(0.132674\pi\) |
0.807797 | + | 0.589461i | \(0.200660\pi\) | |||||||
\(608\) | 3.13536 | + | 0.218610i | 0.127156 | + | 0.00886579i | ||||
\(609\) | 2.93558 | − | 10.9557i | 0.118956 | − | 0.443949i | ||||
\(610\) | −0.422250 | + | 0.913930i | −0.0170964 | + | 0.0370039i | ||||
\(611\) | −22.9753 | − | 5.78196i | −0.929483 | − | 0.233913i | ||||
\(612\) | 6.59518 | + | 7.74804i | 0.266594 | + | 0.313196i | ||||
\(613\) | −3.11427 | − | 0.834467i | −0.125784 | − | 0.0337038i | 0.195378 | − | 0.980728i | \(-0.437407\pi\) |
−0.321162 | + | 0.947024i | \(0.604073\pi\) | |||||||
\(614\) | −31.7442 | + | 2.89024i | −1.28109 | + | 0.116641i | ||||
\(615\) | −28.7605 | + | 49.8147i | −1.15974 | + | 2.00872i | ||||
\(616\) | 4.50241 | + | 2.53626i | 0.181407 | + | 0.102189i | ||||
\(617\) | −11.4900 | − | 42.8813i | −0.462570 | − | 1.72634i | −0.664822 | − | 0.747002i | \(-0.731492\pi\) |
0.202251 | − | 0.979334i | \(-0.435174\pi\) | |||||||
\(618\) | 3.56632 | + | 0.615862i | 0.143459 | + | 0.0247736i | ||||
\(619\) | −4.07925 | + | 4.07925i | −0.163959 | + | 0.163959i | −0.784318 | − | 0.620359i | \(-0.786987\pi\) |
0.620359 | + | 0.784318i | \(0.286987\pi\) | |||||||
\(620\) | 3.98398 | + | 21.6971i | 0.160000 | + | 0.871377i | ||||
\(621\) | −0.180429 | + | 0.104171i | −0.00724039 | + | 0.00418024i | ||||
\(622\) | −21.3161 | − | 17.7584i | −0.854697 | − | 0.712048i | ||||
\(623\) | −24.0508 | −0.963575 | ||||||||
\(624\) | −34.3313 | − | 5.01845i | −1.37435 | − | 0.200899i | ||||
\(625\) | 30.1411 | 1.20565 | ||||||||
\(626\) | −16.1000 | − | 13.4129i | −0.643484 | − | 0.536086i | ||||
\(627\) | −1.15757 | + | 0.668321i | −0.0462288 | + | 0.0266902i | ||||
\(628\) | −3.93628 | − | 21.4374i | −0.157075 | − | 0.855444i | ||||
\(629\) | −3.84422 | + | 3.84422i | −0.153279 | + | 0.153279i | ||||
\(630\) | −18.0214 | − | 3.11209i | −0.717991 | − | 0.123989i | ||||
\(631\) | 2.38813 | + | 8.91262i | 0.0950699 | + | 0.354806i | 0.997030 | − | 0.0770136i | \(-0.0245385\pi\) |
−0.901960 | + | 0.431819i | \(0.857872\pi\) | |||||||
\(632\) | 23.5922 | + | 13.2897i | 0.938446 | + | 0.528637i | ||||
\(633\) | 30.8310 | − | 53.4008i | 1.22542 | − | 2.12249i | ||||
\(634\) | 46.0628 | − | 4.19392i | 1.82939 | − | 0.166562i | ||||
\(635\) | −0.000896203 | 0 | 0.000240137i | −3.55647e−5 | 0 | 9.52954e-6i | ||||
\(636\) | −43.4114 | − | 50.9999i | −1.72137 | − | 2.02228i | ||||
\(637\) | −11.5339 | − | 6.42646i | −0.456989 | − | 0.254625i | ||||
\(638\) | 1.53060 | − | 3.31288i | 0.0605971 | − | 0.131158i | ||||
\(639\) | −5.52699 | + | 20.6270i | −0.218644 | + | 0.815991i | ||||
\(640\) | 17.0534 | + | 23.1170i | 0.674095 | + | 0.913779i | ||||
\(641\) | 34.5637 | + | 19.9553i | 1.36518 | + | 0.788189i | 0.990308 | − | 0.138887i | \(-0.0443524\pi\) |
0.374875 | + | 0.927076i | \(0.377686\pi\) | |||||||
\(642\) | −12.0587 | + | 4.43730i | −0.475920 | + | 0.175126i | ||||
\(643\) | −3.68872 | + | 0.988389i | −0.145469 | + | 0.0389783i | −0.330819 | − | 0.943694i | \(-0.607325\pi\) |
0.185350 | + | 0.982673i | \(0.440658\pi\) | |||||||
\(644\) | 1.22648 | + | 0.845947i | 0.0483302 | + | 0.0333350i | ||||
\(645\) | 40.4448 | + | 40.4448i | 1.59251 | + | 1.59251i | ||||
\(646\) | −0.826651 | − | 1.17175i | −0.0325241 | − | 0.0461019i | ||||
\(647\) | 7.34617 | + | 12.7239i | 0.288808 | + | 0.500229i | 0.973525 | − | 0.228579i | \(-0.0734079\pi\) |
−0.684718 | + | 0.728808i | \(0.740075\pi\) | |||||||
\(648\) | 27.1289 | − | 0.287392i | 1.06573 | − | 0.0112898i | ||||
\(649\) | 10.6256i | 0.417093i | ||||||||
\(650\) | 7.28886 | + | 1.14445i | 0.285893 | + | 0.0448891i | ||||
\(651\) | − | 19.0937i | − | 0.748340i | ||||||
\(652\) | 32.9592 | − | 15.6534i | 1.29078 | − | 0.613035i | ||||
\(653\) | −18.0361 | − | 31.2394i | −0.705806 | − | 1.22249i | −0.966400 | − | 0.257043i | \(-0.917252\pi\) |
0.260594 | − | 0.965449i | \(-0.416082\pi\) | |||||||
\(654\) | 29.5333 | − | 20.8352i | 1.15484 | − | 0.814721i | ||||
\(655\) | −34.7966 | − | 34.7966i | −1.35961 | − | 1.35961i | ||||
\(656\) | −37.4734 | + | 3.81253i | −1.46309 | + | 0.148854i | ||||
\(657\) | −4.53659 | + | 1.21558i | −0.176989 | + | 0.0474242i | ||||
\(658\) | −5.86310 | − | 15.9334i | −0.228567 | − | 0.621150i | ||||
\(659\) | 18.4868 | + | 10.6734i | 0.720143 | + | 0.415775i | 0.814805 | − | 0.579735i | \(-0.196844\pi\) |
−0.0946622 | + | 0.995509i | \(0.530177\pi\) | |||||||
\(660\) | −11.5093 | − | 4.09722i | −0.447997 | − | 0.159484i | ||||
\(661\) | 2.44877 | − | 9.13894i | 0.0952461 | − | 0.355463i | −0.901811 | − | 0.432132i | \(-0.857762\pi\) |
0.997057 | + | 0.0766682i | \(0.0244282\pi\) | |||||||
\(662\) | 6.09826 | + | 2.81749i | 0.237015 | + | 0.109505i | ||||
\(663\) | 8.12342 | + | 13.5871i | 0.315488 | + | 0.527678i | ||||
\(664\) | −11.2131 | + | 3.13223i | −0.435154 | + | 0.121554i | ||||
\(665\) | 2.48962 | + | 0.667092i | 0.0965433 | + | 0.0258687i | ||||
\(666\) | −1.06483 | − | 11.6953i | −0.0412612 | − | 0.453182i | ||||
\(667\) | 0.526093 | − | 0.911220i | 0.0203704 | − | 0.0352826i | ||||
\(668\) | −0.200169 | + | 2.49038i | −0.00774477 | + | 0.0963558i | ||||
\(669\) | 5.39752 | + | 20.1438i | 0.208680 | + | 0.778804i | ||||
\(670\) | 3.99934 | − | 23.1593i | 0.154508 | − | 0.894721i | ||||
\(671\) | 0.198252 | − | 0.198252i | 0.00765343 | − | 0.00765343i | ||||
\(672\) | −10.9041 | − | 22.3454i | −0.420637 | − | 0.861991i | ||||
\(673\) | −7.41053 | + | 4.27847i | −0.285655 | + | 0.164923i | −0.635981 | − | 0.771705i | \(-0.719404\pi\) |
0.350326 | + | 0.936628i | \(0.386071\pi\) | |||||||
\(674\) | 26.7023 | − | 32.0517i | 1.02853 | − | 1.23459i | ||||
\(675\) | −0.739347 | −0.0284575 | ||||||||
\(676\) | −24.7489 | − | 7.96827i | −0.951880 | − | 0.306472i | ||||
\(677\) | −7.36858 | −0.283197 | −0.141599 | − | 0.989924i | \(-0.545224\pi\) | ||||
−0.141599 | + | 0.989924i | \(0.545224\pi\) | |||||||
\(678\) | −28.7541 | + | 34.5146i | −1.10430 | + | 1.32553i | ||||
\(679\) | 14.6113 | − | 8.43586i | 0.560731 | − | 0.323738i | ||||
\(680\) | 3.25795 | − | 12.6953i | 0.124937 | − | 0.486841i | ||||
\(681\) | −2.30600 | + | 2.30600i | −0.0883661 | + | 0.0883661i | ||||
\(682\) | 1.04542 | − | 6.05381i | 0.0400313 | − | 0.231812i | ||||
\(683\) | −0.633618 | − | 2.36469i | −0.0242447 | − | 0.0904825i | 0.952743 | − | 0.303776i | \(-0.0982475\pi\) |
−0.976988 | + | 0.213294i | \(0.931581\pi\) | |||||||
\(684\) | 3.08766 | + | 0.248176i | 0.118060 | + | 0.00948925i | ||||
\(685\) | −20.0566 | + | 34.7390i | −0.766322 | + | 1.32731i | ||||
\(686\) | −2.49790 | − | 27.4350i | −0.0953702 | − | 1.04747i | ||||
\(687\) | −13.0182 | − | 3.48821i | −0.496674 | − | 0.133084i | ||||
\(688\) | −5.98239 | + | 36.9742i | −0.228076 | + | 1.40963i | ||||
\(689\) | −25.7543 | − | 43.0761i | −0.981160 | − | 1.64107i | ||||
\(690\) | −3.19757 | − | 1.47733i | −0.121729 | − | 0.0562409i | ||||
\(691\) | −2.27295 | + | 8.48277i | −0.0864672 | + | 0.322700i | −0.995588 | − | 0.0938326i | \(-0.970088\pi\) |
0.909121 | + | 0.416533i | \(0.136755\pi\) | |||||||
\(692\) | 1.47296 | − | 4.13760i | 0.0559934 | − | 0.157288i | ||||
\(693\) | 4.41070 | + | 2.54652i | 0.167549 | + | 0.0967343i | ||||
\(694\) | −7.79984 | − | 21.1967i | −0.296078 | − | 0.804615i | ||||
\(695\) | 33.1885 | − | 8.89283i | 1.25891 | − | 0.337324i | ||||
\(696\) | −15.1126 | + | 8.94004i | −0.572841 | + | 0.338871i | ||||
\(697\) | 12.1521 | + | 12.1521i | 0.460295 | + | 0.460295i | ||||
\(698\) | 22.7595 | − | 16.0565i | 0.861461 | − | 0.607746i | ||||
\(699\) | 33.5553 | + | 58.1194i | 1.26918 | + | 2.19828i | ||||
\(700\) | 2.26831 | + | 4.77605i | 0.0857340 | + | 0.180518i | ||||
\(701\) | − | 28.6519i | − | 1.08217i | −0.840969 | − | 0.541083i | \(-0.818015\pi\) | ||
0.840969 | − | 0.541083i | \(-0.181985\pi\) | |||||||
\(702\) | 2.57386 | + | 0.404131i | 0.0971441 | + | 0.0152530i | ||||
\(703\) | 1.65509i | 0.0624229i | ||||||||
\(704\) | −2.23379 | − | 7.68181i | −0.0841892 | − | 0.289519i | ||||
\(705\) | 20.0688 | + | 34.7603i | 0.755837 | + | 1.30915i | ||||
\(706\) | −13.3775 | − | 18.9621i | −0.503467 | − | 0.713649i | ||||
\(707\) | 22.2294 | + | 22.2294i | 0.836022 | + | 0.836022i | ||||
\(708\) | 29.0277 | − | 42.0853i | 1.09093 | − | 1.58166i | ||||
\(709\) | 16.2477 | − | 4.35356i | 0.610196 | − | 0.163502i | 0.0595290 | − | 0.998227i | \(-0.481040\pi\) |
0.550667 | + | 0.834725i | \(0.314373\pi\) | |||||||
\(710\) | 25.8153 | − | 9.49938i | 0.968833 | − | 0.356505i | ||||
\(711\) | 23.1116 | + | 13.3435i | 0.866754 | + | 0.500421i | ||||
\(712\) | 26.6052 | + | 26.0474i | 0.997072 | + | 0.976168i | ||||
\(713\) | 0.458438 | − | 1.71091i | 0.0171686 | − | 0.0640743i | ||||
\(714\) | −4.75798 | + | 10.2983i | −0.178063 | + | 0.385404i | ||||
\(715\) | −7.99723 | − | 4.45590i | −0.299079 | − | 0.166641i | ||||
\(716\) | 24.9199 | − | 21.2120i | 0.931301 | − | 0.792729i | ||||
\(717\) | −7.27537 | − | 1.94943i | −0.271704 | − | 0.0728028i | ||||
\(718\) | 48.8354 | − | 4.44636i | 1.82252 | − | 0.165937i | ||||
\(719\) | 4.72305 | − | 8.18057i | 0.176140 | − | 0.305084i | −0.764415 | − | 0.644724i | \(-0.776972\pi\) |
0.940555 | + | 0.339641i | \(0.110305\pi\) | |||||||
\(720\) | 16.5650 | + | 22.9601i | 0.617341 | + | 0.855673i | ||||
\(721\) | 0.503012 | + | 1.87727i | 0.0187332 | + | 0.0699131i | ||||
\(722\) | 26.0480 | + | 4.49818i | 0.969405 | + | 0.167405i | ||||
\(723\) | 32.3324 | − | 32.3324i | 1.20246 | − | 1.20246i | ||||
\(724\) | 1.85076 | − | 0.339833i | 0.0687830 | − | 0.0126298i | ||||
\(725\) | 3.23366 | − | 1.86696i | 0.120095 | − | 0.0693370i | ||||
\(726\) | 2.61397 | + | 2.17770i | 0.0970135 | + | 0.0808220i | ||||
\(727\) | 40.6847 | 1.50891 | 0.754457 | − | 0.656350i | \(-0.227900\pi\) | ||||
0.754457 | + | 0.656350i | \(0.227900\pi\) | |||||||
\(728\) | −5.28596 | − | 17.8666i | −0.195911 | − | 0.662179i | ||||
\(729\) | 23.0512 | 0.853748 | ||||||||
\(730\) | 4.64819 | + | 3.87240i | 0.172037 | + | 0.143324i | ||||
\(731\) | 14.7996 | − | 8.54454i | 0.547382 | − | 0.316031i | ||||
\(732\) | −1.32682 | + | 0.243627i | −0.0490406 | + | 0.00900473i | ||||
\(733\) | −37.4389 | + | 37.4389i | −1.38284 | + | 1.38284i | −0.543298 | + | 0.839540i | \(0.682825\pi\) |
−0.839540 | + | 0.543298i | \(0.817175\pi\) | |||||||
\(734\) | 16.8217 | + | 2.90491i | 0.620900 | + | 0.107222i | ||||
\(735\) | 5.78946 | + | 21.6066i | 0.213548 | + | 0.796970i | ||||
\(736\) | −0.440570 | − | 2.26409i | −0.0162396 | − | 0.0834556i | ||||
\(737\) | −3.27252 | + | 5.66818i | −0.120545 | + | 0.208790i | ||||
\(738\) | −36.9703 | + | 3.36607i | −1.36090 | + | 0.123907i | ||||
\(739\) | −25.6417 | − | 6.87067i | −0.943245 | − | 0.252742i | −0.245752 | − | 0.969333i | \(-0.579035\pi\) |
−0.697494 | + | 0.716591i | \(0.745701\pi\) | |||||||
\(740\) | −11.5193 | + | 9.80528i | −0.423457 | + | 0.360449i | ||||
\(741\) | 4.67361 | + | 1.17616i | 0.171689 | + | 0.0432072i | ||||
\(742\) | 15.0846 | − | 32.6494i | 0.553771 | − | 1.19860i | ||||
\(743\) | 6.50885 | − | 24.2914i | 0.238787 | − | 0.891163i | −0.737619 | − | 0.675217i | \(-0.764050\pi\) |
0.976405 | − | 0.215946i | \(-0.0692835\pi\) | |||||||
\(744\) | −20.6788 | + | 21.1216i | −0.758120 | + | 0.774354i | ||||
\(745\) | −16.2702 | − | 9.39361i | −0.596094 | − | 0.344155i | ||||
\(746\) | −16.0612 | + | 5.91012i | −0.588043 | + | 0.216385i | ||||
\(747\) | −11.0834 | + | 2.96979i | −0.405520 | + | 0.108659i | ||||
\(748\) | −2.07241 | + | 3.00465i | −0.0757749 | + | 0.109861i | ||||
\(749\) | −4.87913 | − | 4.87913i | −0.178280 | − | 0.178280i | ||||
\(750\) | 17.6935 | + | 25.0800i | 0.646075 | + | 0.915792i | ||||
\(751\) | 22.1288 | + | 38.3282i | 0.807492 | + | 1.39862i | 0.914596 | + | 0.404369i | \(0.132509\pi\) |
−0.107104 | + | 0.994248i | \(0.534158\pi\) | |||||||
\(752\) | −10.7704 | + | 23.9755i | −0.392755 | + | 0.874298i | ||||
\(753\) | 31.9054i | 1.16270i | ||||||||
\(754\) | −12.2777 | + | 4.73182i | −0.447128 | + | 0.172323i | ||||
\(755\) | − | 45.5988i | − | 1.65951i | ||||||
\(756\) | 0.800991 | + | 1.68653i | 0.0291318 | + | 0.0613386i | ||||
\(757\) | −7.83373 | − | 13.5684i | −0.284722 | − | 0.493152i | 0.687820 | − | 0.725881i | \(-0.258568\pi\) |
−0.972542 | + | 0.232729i | \(0.925234\pi\) | |||||||
\(758\) | −17.3748 | + | 12.2576i | −0.631080 | + | 0.445216i | ||||
\(759\) | 0.693625 | + | 0.693625i | 0.0251770 | + | 0.0251770i | ||||
\(760\) | −2.03157 | − | 3.43424i | −0.0736926 | − | 0.124573i | ||||
\(761\) | 40.7618 | − | 10.9221i | 1.47761 | − | 0.395926i | 0.572080 | − | 0.820198i | \(-0.306137\pi\) |
0.905535 | + | 0.424273i | \(0.139470\pi\) | |||||||
\(762\) | −0.000429330 | − | 0.00116674i | −1.55530e−5 | − | 4.22665e-5i | ||||
\(763\) | 16.8088 | + | 9.70455i | 0.608519 | + | 0.351328i | ||||
\(764\) | −5.15434 | + | 14.4788i | −0.186477 | + | 0.523823i | ||||
\(765\) | 3.34329 | − | 12.4773i | 0.120877 | − | 0.451119i | ||||
\(766\) | −9.63804 | − | 4.45293i | −0.348237 | − | 0.160891i | ||||
\(767\) | 26.6737 | − | 27.5004i | 0.963130 | − | 0.992982i | ||||
\(768\) | −12.1381 | + | 36.5280i | −0.437997 | + | 1.31809i | ||||
\(769\) | 4.26443 | + | 1.14265i | 0.153779 | + | 0.0412050i | 0.334887 | − | 0.942258i | \(-0.391302\pi\) |
−0.181108 | + | 0.983463i | \(0.557968\pi\) | |||||||
\(770\) | −0.594861 | − | 6.53350i | −0.0214373 | − | 0.235451i | ||||
\(771\) | 18.5112 | − | 32.0624i | 0.666666 | − | 1.15470i | ||||
\(772\) | 1.71682 | + | 0.137992i | 0.0617896 | + | 0.00496645i | ||||
\(773\) | 12.1357 | + | 45.2912i | 0.436492 | + | 1.62901i | 0.737470 | + | 0.675379i | \(0.236020\pi\) |
−0.300978 | + | 0.953631i | \(0.597313\pi\) | |||||||
\(774\) | −6.28173 | + | 36.3761i | −0.225792 | + | 1.30751i | ||||
\(775\) | 4.44468 | − | 4.44468i | 0.159658 | − | 0.159658i | ||||
\(776\) | −25.2993 | − | 6.49250i | −0.908193 | − | 0.233067i | ||||
\(777\) | 11.3392 | − | 6.54667i | 0.406790 | − | 0.234860i | ||||
\(778\) | −3.17169 | + | 3.80709i | −0.113710 | + | 0.136491i | ||||
\(779\) | 5.23197 | 0.187455 | ||||||||
\(780\) | 19.5020 | + | 39.4959i | 0.698285 | + | 1.41418i | ||||
\(781\) | −7.66056 | −0.274116 | ||||||||
\(782\) | −0.673607 | + | 0.808554i | −0.0240881 | + | 0.0289138i | ||||
\(783\) | 1.14188 | − | 0.659264i | 0.0408074 | − | 0.0235602i | ||||
\(784\) | −9.25605 | + | 11.3528i | −0.330573 | + | 0.405456i | ||||
\(785\) | −19.5661 | + | 19.5661i | −0.698345 | + | 0.698345i | ||||
\(786\) | 11.2207 | − | 64.9766i | 0.400229 | − | 2.31764i | ||||
\(787\) | −10.2854 | − | 38.3856i | −0.366634 | − | 1.36830i | −0.865192 | − | 0.501441i | \(-0.832803\pi\) |
0.498557 | − | 0.866857i | \(-0.333863\pi\) | |||||||
\(788\) | −2.01254 | + | 25.0389i | −0.0716939 | + | 0.891973i | ||||
\(789\) | −8.91234 | + | 15.4366i | −0.317288 | + | 0.549558i | ||||
\(790\) | −3.11701 | − | 34.2349i | −0.110898 | − | 1.21802i | ||||
\(791\) | −23.3019 | − | 6.24373i | −0.828520 | − | 0.222001i | ||||
\(792\) | −2.12123 | − | 7.59384i | −0.0753747 | − | 0.269835i | ||||
\(793\) | −1.01077 | + | 0.0154253i | −0.0358936 | + | 0.000547768i | ||||
\(794\) | 44.2841 | + | 20.4599i | 1.57158 | + | 0.726096i | ||||
\(795\) | −22.0065 | + | 82.1295i | −0.780491 | + | 2.91283i | ||||
\(796\) | −18.1863 | − | 6.47419i | −0.644596 | − | 0.229472i | ||||
\(797\) | 15.1636 | + | 8.75469i | 0.537121 | + | 0.310107i | 0.743911 | − | 0.668278i | \(-0.232968\pi\) |
−0.206790 | + | 0.978385i | \(0.566302\pi\) | |||||||
\(798\) | 1.19266 | + | 3.24116i | 0.0422198 | + | 0.114736i | ||||
\(799\) | 11.5834 | − | 3.10377i | 0.409792 | − | 0.109803i | ||||
\(800\) | 2.66332 | − | 7.73992i | 0.0941626 | − | 0.273648i | ||||
\(801\) | 25.9478 | + | 25.9478i | 0.916821 | + | 0.916821i | ||||
\(802\) | −35.6897 | + | 25.1785i | −1.26025 | + | 0.889083i | ||||
\(803\) | −0.842411 | − | 1.45910i | −0.0297281 | − | 0.0514905i | ||||
\(804\) | 28.4462 | − | 13.5101i | 1.00322 | − | 0.476464i | ||||
\(805\) | − | 1.89153i | − | 0.0666677i | ||||||
\(806\) | −17.9026 | + | 13.0436i | −0.630592 | + | 0.459442i | ||||
\(807\) | − | 43.4574i | − | 1.52977i | ||||||
\(808\) | −0.515537 | − | 48.6651i | −0.0181365 | − | 1.71203i | ||||
\(809\) | −10.2085 | − | 17.6816i | −0.358912 | − | 0.621653i | 0.628868 | − | 0.777512i | \(-0.283519\pi\) |
−0.987779 | + | 0.155859i | \(0.950185\pi\) | |||||||
\(810\) | −19.8554 | − | 28.1444i | −0.697647 | − | 0.988893i | ||||
\(811\) | −7.19894 | − | 7.19894i | −0.252789 | − | 0.252789i | 0.569324 | − | 0.822113i | \(-0.307205\pi\) |
−0.822113 | + | 0.569324i | \(0.807205\pi\) | |||||||
\(812\) | −7.76200 | − | 5.35372i | −0.272393 | − | 0.187879i | ||||
\(813\) | 40.0690 | − | 10.7365i | 1.40528 | − | 0.376544i | ||||
\(814\) | 3.95362 | − | 1.45483i | 0.138574 | − | 0.0509918i | ||||
\(815\) | −40.1165 | − | 23.1612i | −1.40522 | − | 0.811303i | ||||
\(816\) | 16.4165 | − | 6.23909i | 0.574694 | − | 0.218412i | ||||
\(817\) | 1.34652 | − | 5.02528i | 0.0471087 | − | 0.175812i | ||||
\(818\) | 6.49028 | − | 14.0477i | 0.226927 | − | 0.491168i | ||||
\(819\) | −5.02286 | − | 17.6629i | −0.175513 | − | 0.617192i | ||||
\(820\) | 30.9959 | + | 36.4141i | 1.08242 | + | 1.27163i | ||||
\(821\) | −46.8394 | − | 12.5506i | −1.63471 | − | 0.438018i | −0.679431 | − | 0.733740i | \(-0.737773\pi\) |
−0.955274 | + | 0.295722i | \(0.904440\pi\) | |||||||
\(822\) | −53.5280 | + | 4.87361i | −1.86700 | + | 0.169987i | ||||
\(823\) | −19.8989 | + | 34.4659i | −0.693633 | + | 1.20141i | 0.277007 | + | 0.960868i | \(0.410658\pi\) |
−0.970639 | + | 0.240539i | \(0.922676\pi\) | |||||||
\(824\) | 1.47667 | − | 2.62142i | 0.0514424 | − | 0.0913214i | ||||
\(825\) | 0.900964 | + | 3.36244i | 0.0313675 | + | 0.117065i | ||||
\(826\) | 27.0542 | + | 4.67195i | 0.941336 | + | 0.162558i | ||||
\(827\) | −34.3513 | + | 34.3513i | −1.19451 | + | 1.19451i | −0.218724 | + | 0.975787i | \(0.570189\pi\) |
−0.975787 | + | 0.218724i | \(0.929811\pi\) | |||||||
\(828\) | −0.410550 | − | 2.23589i | −0.0142676 | − | 0.0777027i | ||||
\(829\) | −1.59443 | + | 0.920543i | −0.0553767 | + | 0.0319718i | −0.527433 | − | 0.849597i | \(-0.676845\pi\) |
0.472056 | + | 0.881569i | \(0.343512\pi\) | |||||||
\(830\) | 11.3560 | + | 9.46070i | 0.394173 | + | 0.328386i | ||||
\(831\) | 59.1422 | 2.05162 | ||||||||
\(832\) | −13.5024 | + | 25.4889i | −0.468112 | + | 0.883669i | ||||
\(833\) | 6.68317 | 0.231558 | ||||||||
\(834\) | 35.3726 | + | 29.4689i | 1.22485 | + | 1.02042i | ||||
\(835\) | 2.74690 | − | 1.58592i | 0.0950604 | − | 0.0548832i | ||||
\(836\) | 0.200683 | + | 1.09294i | 0.00694076 | + | 0.0378000i | ||||
\(837\) | 1.56952 | − | 1.56952i | 0.0542505 | − | 0.0542505i | ||||
\(838\) | −12.8853 | − | 2.22515i | −0.445117 | − | 0.0768665i | ||||
\(839\) | −7.08127 | − | 26.4277i | −0.244473 | − | 0.912384i | −0.973648 | − | 0.228057i | \(-0.926763\pi\) |
0.729175 | − | 0.684327i | \(-0.239904\pi\) | |||||||
\(840\) | −15.4925 | + | 27.5025i | −0.534541 | + | 0.948927i | ||||
\(841\) | 11.1705 | − | 19.3479i | 0.385191 | − | 0.667170i | ||||
\(842\) | −10.8135 | + | 0.984544i | −0.372657 | + | 0.0339296i | ||||
\(843\) | −21.5992 | − | 5.78748i | −0.743915 | − | 0.199331i | ||||
\(844\) | −33.2272 | − | 39.0355i | −1.14373 | − | 1.34366i | ||||
\(845\) | 9.51208 | + | 31.6079i | 0.327225 | + | 1.08734i | ||||
\(846\) | −10.8647 | + | 23.5158i | −0.373535 | + | 0.808489i | ||||
\(847\) | −0.472870 | + | 1.76477i | −0.0162480 | + | 0.0606384i | ||||
\(848\) | −52.0465 | + | 19.7802i | −1.78729 | + | 0.679256i | ||||
\(849\) | 31.6728 | + | 18.2863i | 1.08701 | + | 0.627585i | ||||
\(850\) | −3.50485 | + | 1.28969i | −0.120215 | + | 0.0442361i | ||||
\(851\) | 1.17325 | − | 0.314371i | 0.0402184 | − | 0.0107765i | ||||
\(852\) | 30.3414 | + | 20.9275i | 1.03948 | + | 0.716965i | ||||
\(853\) | 13.4827 | + | 13.4827i | 0.461639 | + | 0.461639i | 0.899192 | − | 0.437554i | \(-0.144155\pi\) |
−0.437554 | + | 0.899192i | \(0.644155\pi\) | |||||||
\(854\) | −0.417605 | − | 0.591942i | −0.0142902 | − | 0.0202558i | ||||
\(855\) | −1.96628 | − | 3.40570i | −0.0672454 | − | 0.116472i | ||||
\(856\) | 0.113155 | + | 10.6815i | 0.00386757 | + | 0.365087i | ||||
\(857\) | 0.196306i | 0.00670569i | 0.999994 | + | 0.00335284i | \(0.00106724\pi\) | ||||
−0.999994 | + | 0.00335284i | \(0.998933\pi\) | |||||||
\(858\) | −1.29856 | − | 12.1980i | −0.0443321 | − | 0.416433i | ||||
\(859\) | 15.5710i | 0.531274i | 0.964073 | + | 0.265637i | \(0.0855823\pi\) | ||||
−0.964073 | + | 0.265637i | \(0.914418\pi\) | |||||||
\(860\) | 42.9527 | − | 20.3997i | 1.46468 | − | 0.695624i | ||||
\(861\) | −20.6949 | − | 35.8447i | −0.705282 | − | 1.22158i | ||||
\(862\) | −31.5723 | + | 22.2737i | −1.07536 | + | 0.758646i | ||||
\(863\) | 21.6943 | + | 21.6943i | 0.738483 | + | 0.738483i | 0.972284 | − | 0.233801i | \(-0.0751165\pi\) |
−0.233801 | + | 0.972284i | \(0.575116\pi\) | |||||||
\(864\) | 0.940479 | − | 2.73314i | 0.0319957 | − | 0.0929834i | ||||
\(865\) | −5.38580 | + | 1.44312i | −0.183123 | + | 0.0490676i | ||||
\(866\) | 15.7312 | + | 42.7508i | 0.534568 | + | 1.45273i | ||||
\(867\) | 28.4791 | + | 16.4424i | 0.967201 | + | 0.558414i | ||||
\(868\) | −14.9541 | − | 5.32355i | −0.507575 | − | 0.180693i | ||||
\(869\) | −2.47779 | + | 9.24724i | −0.0840533 | + | 0.313691i | ||||
\(870\) | 20.2364 | + | 9.34953i | 0.686077 | + | 0.316979i | ||||
\(871\) | 22.6986 | − | 6.45485i | 0.769111 | − | 0.218714i | ||||
\(872\) | −8.08382 | − | 28.9394i | −0.273753 | − | 0.980013i | ||||
\(873\) | −24.8651 | − | 6.66257i | −0.841554 | − | 0.225494i | ||||
\(874\) | 0.0290501 | + | 0.319064i | 0.000982635 | + | 0.0107925i | ||||
\(875\) | −8.24122 | + | 14.2742i | −0.278604 | + | 0.482556i | ||||
\(876\) | −0.649480 | + | 8.08045i | −0.0219439 | + | 0.273013i | ||||
\(877\) | 10.1654 | + | 37.9376i | 0.343260 | + | 1.28106i | 0.894632 | + | 0.446803i | \(0.147438\pi\) |
−0.551373 | + | 0.834259i | \(0.685896\pi\) | |||||||
\(878\) | −3.31947 | + | 19.2223i | −0.112027 | + | 0.648722i | ||||
\(879\) | −17.3934 | + | 17.3934i | −0.586664 | + | 0.586664i | ||||
\(880\) | −6.41784 | + | 7.87165i | −0.216345 | + | 0.265353i | ||||
\(881\) | 6.39306 | − | 3.69104i | 0.215388 | − | 0.124354i | −0.388425 | − | 0.921480i | \(-0.626981\pi\) |
0.603813 | + | 0.797126i | \(0.293647\pi\) | |||||||
\(882\) | −9.24048 | + | 11.0917i | −0.311143 | + | 0.373476i | ||||
\(883\) | −46.1983 | −1.55470 | −0.777348 | − | 0.629070i | \(-0.783436\pi\) | ||||
−0.777348 | + | 0.629070i | \(0.783436\pi\) | |||||||
\(884\) | 12.9062 | − | 2.57399i | 0.434084 | − | 0.0865727i | ||||
\(885\) | −64.9057 | −2.18178 | ||||||||
\(886\) | 11.7326 | − | 14.0830i | 0.394164 | − | 0.473129i | ||||
\(887\) | 37.5811 | − | 21.6974i | 1.26185 | − | 0.728529i | 0.288417 | − | 0.957505i | \(-0.406871\pi\) |
0.973432 | + | 0.228976i | \(0.0735377\pi\) | |||||||
\(888\) | −19.6336 | − | 5.03852i | −0.658861 | − | 0.169082i | ||||
\(889\) | 0.000472079 | 0 | 0.000472079i | 1.58330e−5 | 0 | 1.58330e-5i | ||||
\(890\) | 8.04377 | − | 46.5797i | 0.269628 | − | 1.56135i | ||||
\(891\) | 2.48261 | + | 9.26522i | 0.0831705 | + | 0.310397i | ||||
\(892\) | 17.2814 | + | 1.38903i | 0.578625 | + | 0.0465080i | ||||
\(893\) | 1.82541 | − | 3.16170i | 0.0610850 | − | 0.105802i | ||||
\(894\) | −2.28258 | − | 25.0701i | −0.0763409 | − | 0.838470i | ||||
\(895\) | −40.1307 | − | 10.7530i | −1.34142 | − | 0.359433i | ||||
\(896\) | −20.5410 | + | 2.30992i | −0.686227 | + | 0.0771691i | ||||
\(897\) | −0.0539685 | − | 3.53639i | −0.00180196 | − | 0.118077i | ||||
\(898\) | 41.4169 | + | 19.1353i | 1.38210 | + | 0.638552i | ||||
\(899\) | −2.90130 | + | 10.8278i | −0.0967639 | + | 0.361128i | ||||
\(900\) | 2.70554 | − | 7.59999i | 0.0901848 | − | 0.253333i | ||||
\(901\) | 22.0002 | + | 12.7018i | 0.732933 | + | 0.423159i | ||||
\(902\) | −4.59892 | − | 12.4980i | −0.153127 | − | 0.416136i | ||||
\(903\) | −39.7548 | + | 10.6523i | −1.32296 | + | 0.354485i | ||||
\(904\) | 19.0147 | + | 32.1432i | 0.632420 | + | 1.06907i | ||||
\(905\) | −1.68921 | − | 1.68921i | −0.0561513 | − | 0.0561513i | ||||
\(906\) | 49.9260 | − | 35.2219i | 1.65868 | − | 1.17017i | ||||
\(907\) | −14.5982 | − | 25.2848i | −0.484725 | − | 0.839569i | 0.515121 | − | 0.857118i | \(-0.327747\pi\) |
−0.999846 | + | 0.0175488i | \(0.994414\pi\) | |||||||
\(908\) | 1.16311 | + | 2.44899i | 0.0385991 | + | 0.0812726i | ||||
\(909\) | − | 47.9655i | − | 1.59091i | ||||||
\(910\) | −14.8615 | + | 18.4027i | −0.492655 | + | 0.610045i | ||||
\(911\) | − | 45.7660i | − | 1.51630i | −0.652083 | − | 0.758148i | \(-0.726105\pi\) | ||
0.652083 | − | 0.758148i | \(-0.273895\pi\) | |||||||
\(912\) | 2.19089 | − | 4.87707i | 0.0725478 | − | 0.161496i | ||||
\(913\) | −2.05810 | − | 3.56474i | −0.0681133 | − | 0.117976i | ||||
\(914\) | 3.72192 | + | 5.27570i | 0.123110 | + | 0.174505i | ||||
\(915\) | 1.21100 | + | 1.21100i | 0.0400345 | + | 0.0400345i | ||||
\(916\) | −6.36158 | + | 9.22323i | −0.210192 | + | 0.304744i | ||||
\(917\) | 34.2029 | − | 9.16463i | 1.12948 | − | 0.302643i | ||||
\(918\) | −1.23764 | + | 0.455420i | −0.0408482 | + | 0.0150311i | ||||
\(919\) | 44.2505 | + | 25.5480i | 1.45969 | + | 0.842751i | 0.998996 | − | 0.0448082i | \(-0.0142677\pi\) |
0.460693 | + | 0.887560i | \(0.347601\pi\) | |||||||
\(920\) | −2.04856 | + | 2.09243i | −0.0675390 | + | 0.0689853i | ||||
\(921\) | −14.0342 | + | 52.3764i | −0.462443 | + | 1.72586i | ||||
\(922\) | 4.07088 | − | 8.81113i | 0.134067 | − | 0.290179i | ||||
\(923\) | 19.8264 | + | 19.2304i | 0.652594 | + | 0.632975i | ||||
\(924\) | 6.69402 | − | 5.69799i | 0.220217 | − | 0.187450i | ||||
\(925\) | 4.16352 | + | 1.11561i | 0.136896 | + | 0.0366811i | ||||
\(926\) | 53.9861 | − | 4.91532i | 1.77409 | − | 0.161527i | ||||
\(927\) | 1.48265 | − | 2.56803i | 0.0486966 | − | 0.0843450i | ||||
\(928\) | 2.78822 | + | 14.3287i | 0.0915279 | + | 0.470363i | ||||
\(929\) | 6.51293 | + | 24.3066i | 0.213682 | + | 0.797474i | 0.986626 | + | 0.162999i | \(0.0521168\pi\) |
−0.772944 | + | 0.634475i | \(0.781217\pi\) | |||||||
\(930\) | 36.9791 | + | 6.38586i | 1.21259 | + | 0.209401i | ||||
\(931\) | 1.43868 | − | 1.43868i | 0.0471509 | − | 0.0471509i | ||||
\(932\) | 54.8745 | − | 10.0759i | 1.79747 | − | 0.330048i | ||||
\(933\) | −40.8730 | + | 23.5980i | −1.33812 | + | 0.772565i | ||||
\(934\) | −41.4057 | − | 34.4951i | −1.35484 | − | 1.12871i | ||||
\(935\) | 4.63389 | 0.151545 | ||||||||
\(936\) | −13.5729 | + | 24.9787i | −0.443644 | + | 0.816454i | ||||
\(937\) | −1.29471 | −0.0422963 | −0.0211482 | − | 0.999776i | \(-0.506732\pi\) | ||||
−0.0211482 | + | 0.999776i | \(0.506732\pi\) | |||||||
\(938\) | 12.9930 | + | 10.8245i | 0.424236 | + | 0.353431i | ||||
\(939\) | −30.8712 | + | 17.8235i | −1.00744 | + | 0.581648i | ||||
\(940\) | 32.8195 | − | 6.02625i | 1.07046 | − | 0.196555i | ||||
\(941\) | −18.0672 | + | 18.0672i | −0.588975 | + | 0.588975i | −0.937354 | − | 0.348379i | \(-0.886732\pi\) |
0.348379 | + | 0.937354i | \(0.386732\pi\) | |||||||
\(942\) | −36.5364 | − | 6.30941i | −1.19042 | − | 0.205572i | ||||
\(943\) | −0.993769 | − | 3.70880i | −0.0323616 | − | 0.120775i | ||||
\(944\) | −24.8678 | − | 34.4683i | −0.809377 | − | 1.12185i | ||||
\(945\) | 1.18517 | − | 2.05277i | 0.0385535 | − | 0.0667767i | ||||
\(946\) | −13.1878 | + | 1.20072i | −0.428773 | + | 0.0390389i | ||||
\(947\) | 40.4573 | + | 10.8405i | 1.31469 | + | 0.352269i | 0.846984 | − | 0.531618i | \(-0.178416\pi\) |
0.467701 | + | 0.883887i | \(0.345082\pi\) | |||||||
\(948\) | 35.0760 | − | 29.8569i | 1.13921 | − | 0.969706i | ||||
\(949\) | −1.48253 | + | 5.89103i | −0.0481251 | + | 0.191231i | ||||
\(950\) | −0.476855 | + | 1.03212i | −0.0154712 | + | 0.0334864i | ||||
\(951\) | 20.3645 | − | 76.0014i | 0.660365 | − | 2.46452i | ||||
\(952\) | 6.73900 | + | 6.59772i | 0.218412 | + | 0.213833i | ||||
\(953\) | −27.6559 | − | 15.9671i | −0.895862 | − | 0.517226i | −0.0200068 | − | 0.999800i | \(-0.506369\pi\) |
−0.875855 | + | 0.482574i | \(0.839702\pi\) | |||||||
\(954\) | −51.4990 | + | 18.9503i | −1.66734 | + | 0.613539i | ||||
\(955\) | 18.8466 | − | 5.04994i | 0.609862 | − | 0.163412i | ||||
\(956\) | −3.55525 | + | 5.15451i | −0.114985 | + | 0.166709i | ||||
\(957\) | −4.38972 | − | 4.38972i | −0.141900 | − | 0.141900i | ||||
\(958\) | 16.2069 | + | 22.9728i | 0.523622 | + | 0.742218i | ||||
\(959\) | −14.4319 | − | 24.9968i | −0.466031 | − | 0.807189i | ||||
\(960\) | 46.9236 | − | 13.6449i | 1.51445 | − | 0.440387i | ||||
\(961\) | − | 12.1293i | − | 0.391266i | ||||||
\(962\) | −13.8845 | − | 6.15954i | −0.447655 | − | 0.198592i | ||||
\(963\) | 10.5280i | 0.339259i | ||||||||
\(964\) | −16.3079 | − | 34.3373i | −0.525243 | − | 1.10593i | ||||
\(965\) | −1.09330 | − | 1.89365i | −0.0351946 | − | 0.0609589i | ||||
\(966\) | 2.07103 | − | 1.46108i | 0.0666343 | − | 0.0470094i | ||||
\(967\) | 17.5853 | + | 17.5853i | 0.565505 | + | 0.565505i | 0.930866 | − | 0.365361i | \(-0.119054\pi\) |
−0.365361 | + | 0.930866i | \(0.619054\pi\) | |||||||
\(968\) | 2.43437 | − | 1.44008i | 0.0782437 | − | 0.0462860i | ||||
\(969\) | −2.35628 | + | 0.631364i | −0.0756947 | + | 0.0202823i | ||||
\(970\) | 11.4511 | + | 31.1194i | 0.367674 | + | 0.999184i | ||||
\(971\) | −52.5851 | − | 30.3600i | −1.68754 | − | 0.974300i | −0.956396 | − | 0.292074i | \(-0.905655\pi\) |
−0.731142 | − | 0.682226i | \(-0.761012\pi\) | |||||||
\(972\) | 14.4501 | − | 40.5910i | 0.463487 | − | 1.30196i | ||||
\(973\) | −6.39893 | + | 23.8811i | −0.205140 | + | 0.765594i | ||||
\(974\) | 34.7106 | + | 16.0369i | 1.11220 | + | 0.513854i | ||||
\(975\) | 6.10897 | − | 10.9641i | 0.195644 | − | 0.351132i | ||||
\(976\) | −0.179125 | + | 1.10708i | −0.00573365 | + | 0.0354369i | ||||
\(977\) | 3.41457 | + | 0.914930i | 0.109242 | + | 0.0292712i | 0.313026 | − | 0.949745i | \(-0.398657\pi\) |
−0.203784 | + | 0.979016i | \(0.565324\pi\) | |||||||
\(978\) | −5.62802 | − | 61.8138i | −0.179964 | − | 1.97659i | ||||
\(979\) | −6.58194 | + | 11.4003i | −0.210360 | + | 0.364354i | ||||
\(980\) | 18.5363 | + | 1.48989i | 0.592122 | + | 0.0475928i | ||||
\(981\) | −7.66458 | − | 28.6046i | −0.244711 | − | 0.913274i | ||||
\(982\) | 6.74567 | − | 39.0627i | 0.215263 | − | 1.24654i | ||||
\(983\) | −24.9668 | + | 24.9668i | −0.796317 | + | 0.796317i | −0.982513 | − | 0.186196i | \(-0.940384\pi\) |
0.186196 | + | 0.982513i | \(0.440384\pi\) | |||||||
\(984\) | −15.9275 | + | 62.0646i | −0.507749 | + | 1.97855i | ||||
\(985\) | 27.6180 | − | 15.9452i | 0.879982 | − | 0.508058i | ||||
\(986\) | 4.26304 | − | 5.11707i | 0.135763 | − | 0.162961i | ||||
\(987\) | −28.8815 | −0.919308 | ||||||||
\(988\) | 2.22422 | − | 3.33243i | 0.0707619 | − | 0.106019i | ||||
\(989\) | −3.81804 | −0.121407 | ||||||||
\(990\) | −6.40705 | + | 7.69061i | −0.203629 | + | 0.244424i | ||||
\(991\) | −8.72497 | + | 5.03736i | −0.277158 | + | 0.160017i | −0.632136 | − | 0.774857i | \(-0.717822\pi\) |
0.354978 | + | 0.934875i | \(0.384488\pi\) | |||||||
\(992\) | 10.7768 | + | 22.0845i | 0.342165 | + | 0.701183i | ||||
\(993\) | 8.08049 | − | 8.08049i | 0.256427 | − | 0.256427i | ||||
\(994\) | −3.36824 | + | 19.5047i | −0.106834 | + | 0.618652i | ||||
\(995\) | 6.34306 | + | 23.6726i | 0.201088 | + | 0.750472i | ||||
\(996\) | −1.58675 | + | 19.7414i | −0.0502781 | + | 0.625531i | ||||
\(997\) | 0.625872 | − | 1.08404i | 0.0198216 | − | 0.0343319i | −0.855944 | − | 0.517068i | \(-0.827024\pi\) |
0.875766 | + | 0.482736i | \(0.160357\pi\) | |||||||
\(998\) | 2.18497 | + | 23.9980i | 0.0691640 | + | 0.759645i | ||||
\(999\) | 1.47023 | + | 0.393948i | 0.0465161 | + | 0.0124640i |
(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 | 572.2.bf.a.67.15 | yes | 280 | |
4.3 | odd | 2 | inner | 572.2.bf.a.67.5 | ✓ | 280 | |
13.7 | odd | 12 | inner | 572.2.bf.a.111.5 | yes | 280 | |
52.7 | even | 12 | inner | 572.2.bf.a.111.15 | yes | 280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
572.2.bf.a.67.5 | ✓ | 280 | 4.3 | odd | 2 | inner | |
572.2.bf.a.67.15 | yes | 280 | 1.1 | even | 1 | trivial | |
572.2.bf.a.111.5 | yes | 280 | 13.7 | odd | 12 | inner | |
572.2.bf.a.111.15 | yes | 280 | 52.7 | even | 12 | inner |