Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [432,2,Mod(107,432)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(432, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("432.107");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 432 = 2^{4} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 432.l (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.44953736732\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 107.7 | ||
Character | \(\chi\) | \(=\) | 432.107 |
Dual form | 432.2.l.b.323.7 |
$q$-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 \(\left(\mathbb{Z}/432\mathbb{Z}\right)^\times\).
\(n\) | \(271\) | \(325\) | \(353\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.379657 | + | 1.36230i | −0.268458 | + | 0.963291i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.71172 | − | 1.03441i | −0.855861 | − | 0.517206i | ||||
\(5\) | 0.463925 | − | 0.463925i | 0.207474 | − | 0.207474i | −0.595719 | − | 0.803193i | \(-0.703133\pi\) |
0.803193 | + | 0.595719i | \(0.203133\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.85883 | −0.702571 | −0.351285 | − | 0.936268i | \(-0.614255\pi\) | ||||
−0.351285 | + | 0.936268i | \(0.614255\pi\) | |||||||
\(8\) | 2.05905 | − | 1.93916i | 0.727983 | − | 0.685595i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.455873 | + | 0.808137i | 0.144160 | + | 0.255555i | ||||
\(11\) | 3.73577 | + | 3.73577i | 1.12638 | + | 1.12638i | 0.990762 | + | 0.135615i | \(0.0433009\pi\) |
0.135615 | + | 0.990762i | \(0.456699\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.31012 | + | 4.31012i | −1.19541 | + | 1.19541i | −0.219888 | + | 0.975525i | \(0.570569\pi\) |
−0.975525 | + | 0.219888i | \(0.929431\pi\) | |||||||
\(14\) | 0.705716 | − | 2.53228i | 0.188611 | − | 0.676780i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.85998 | + | 3.54125i | 0.464995 | + | 0.885313i | ||||
\(17\) | 6.55700i | 1.59031i | 0.606409 | + | 0.795153i | \(0.292609\pi\) | ||||
−0.606409 | + | 0.795153i | \(0.707391\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.31300 | − | 1.31300i | −0.301223 | − | 0.301223i | 0.540269 | − | 0.841492i | \(-0.318322\pi\) |
−0.841492 | + | 0.540269i | \(0.818322\pi\) | |||||||
\(20\) | −1.27400 | + | 0.314221i | −0.284875 | + | 0.0702618i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −6.50754 | + | 3.67093i | −1.38741 | + | 0.782644i | ||||
\(23\) | − | 0.727384i | − | 0.151670i | −0.997120 | − | 0.0758350i | \(-0.975838\pi\) | ||
0.997120 | − | 0.0758350i | \(-0.0241622\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.56955i | 0.913909i | ||||||||
\(26\) | −4.23531 | − | 7.50805i | −0.830613 | − | 1.47245i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 3.18180 | + | 1.92279i | 0.601303 | + | 0.363374i | ||||
\(29\) | 0.896599 | + | 0.896599i | 0.166494 | + | 0.166494i | 0.785436 | − | 0.618942i | \(-0.212439\pi\) |
−0.618942 | + | 0.785436i | \(0.712439\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 5.25771i | − | 0.944312i | −0.881515 | − | 0.472156i | \(-0.843476\pi\) | ||
0.881515 | − | 0.472156i | \(-0.156524\pi\) | |||||||
\(32\) | −5.53040 | + | 1.18939i | −0.977646 | + | 0.210257i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −8.93260 | − | 2.48941i | −1.53193 | − | 0.426930i | ||||
\(35\) | −0.862356 | + | 0.862356i | −0.145765 | + | 0.145765i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.98112 | + | 3.98112i | 0.654492 | + | 0.654492i | 0.954071 | − | 0.299580i | \(-0.0968464\pi\) |
−0.299580 | + | 0.954071i | \(0.596846\pi\) | |||||||
\(38\) | 2.28719 | − | 1.29021i | 0.371031 | − | 0.209300i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.0556200 | − | 1.85487i | 0.00879430 | − | 0.293280i | ||||
\(41\) | 5.10406 | 0.797121 | 0.398560 | − | 0.917142i | \(-0.369510\pi\) | ||||
0.398560 | + | 0.917142i | \(0.369510\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.09445 | − | 1.09445i | 0.166901 | − | 0.166901i | −0.618714 | − | 0.785616i | \(-0.712346\pi\) |
0.785616 | + | 0.618714i | \(0.212346\pi\) | |||||||
\(44\) | −2.53027 | − | 10.2589i | −0.381452 | − | 1.54659i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.990915 | + | 0.276156i | 0.146102 | + | 0.0407170i | ||||
\(47\) | −6.81472 | −0.994029 | −0.497014 | − | 0.867742i | \(-0.665570\pi\) | ||||
−0.497014 | + | 0.867742i | \(0.665570\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.54476 | −0.506394 | ||||||||
\(50\) | −6.22509 | − | 1.73486i | −0.880361 | − | 0.245346i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 11.8362 | − | 2.91929i | 1.64138 | − | 0.404832i | ||||
\(53\) | −0.712025 | + | 0.712025i | −0.0978042 | + | 0.0978042i | −0.754316 | − | 0.656512i | \(-0.772031\pi\) |
0.656512 | + | 0.754316i | \(0.272031\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.46623 | 0.467386 | ||||||||
\(56\) | −3.82741 | + | 3.60456i | −0.511459 | + | 0.481679i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.56184 | + | 0.881037i | −0.205079 | + | 0.115686i | ||||
\(59\) | 1.86942 | + | 1.86942i | 0.243378 | + | 0.243378i | 0.818246 | − | 0.574868i | \(-0.194947\pi\) |
−0.574868 | + | 0.818246i | \(0.694947\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.98625 | − | 5.98625i | 0.766461 | − | 0.766461i | −0.211021 | − | 0.977482i | \(-0.567679\pi\) |
0.977482 | + | 0.211021i | \(0.0676787\pi\) | |||||||
\(62\) | 7.16257 | + | 1.99612i | 0.909648 | + | 0.253508i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.479345 | − | 7.98563i | 0.0599181 | − | 0.998203i | ||||
\(65\) | 3.99915i | 0.496033i | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −8.48245 | − | 8.48245i | −1.03630 | − | 1.03630i | −0.999316 | − | 0.0369805i | \(-0.988226\pi\) |
−0.0369805 | − | 0.999316i | \(-0.511774\pi\) | |||||||
\(68\) | 6.78264 | − | 11.2238i | 0.822516 | − | 1.36108i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.847389 | − | 1.50219i | −0.101282 | − | 0.179546i | ||||
\(71\) | 12.4124i | 1.47308i | 0.676394 | + | 0.736540i | \(0.263542\pi\) | ||||
−0.676394 | + | 0.736540i | \(0.736458\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.72969i | 0.436527i | 0.975890 | + | 0.218264i | \(0.0700392\pi\) | ||||
−0.975890 | + | 0.218264i | \(0.929961\pi\) | |||||||
\(74\) | −6.93493 | + | 3.91202i | −0.806170 | + | 0.454763i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.889307 | + | 3.60567i | 0.102010 | + | 0.413599i | ||||
\(77\) | −6.94415 | − | 6.94415i | −0.791359 | − | 0.791359i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 0.199069i | − | 0.0223970i | −0.999937 | − | 0.0111985i | \(-0.996435\pi\) | ||
0.999937 | − | 0.0111985i | \(-0.00356468\pi\) | |||||||
\(80\) | 2.50577 | + | 0.779983i | 0.280153 | + | 0.0872048i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −1.93779 | + | 6.95326i | −0.213993 | + | 0.767860i | ||||
\(83\) | 9.97322 | − | 9.97322i | 1.09470 | − | 1.09470i | 0.0996837 | − | 0.995019i | \(-0.468217\pi\) |
0.995019 | − | 0.0996837i | \(-0.0317831\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.04195 | + | 3.04195i | 0.329946 | + | 0.329946i | ||||
\(86\) | 1.07545 | + | 1.90648i | 0.115969 | + | 0.205581i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 14.9364 | + | 0.447882i | 1.59222 | + | 0.0477444i | ||||
\(89\) | −7.53220 | −0.798412 | −0.399206 | − | 0.916861i | \(-0.630714\pi\) | ||||
−0.399206 | + | 0.916861i | \(0.630714\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 8.01178 | − | 8.01178i | 0.839863 | − | 0.839863i | ||||
\(92\) | −0.752415 | + | 1.24508i | −0.0784447 | + | 0.129808i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 2.58725 | − | 9.28369i | 0.266855 | − | 0.957539i | ||||
\(95\) | −1.21827 | −0.124991 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 9.81958 | 0.997027 | 0.498514 | − | 0.866882i | \(-0.333879\pi\) | ||||
0.498514 | + | 0.866882i | \(0.333879\pi\) | |||||||
\(98\) | 1.34579 | − | 4.82903i | 0.135946 | − | 0.487805i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.72680 | − | 7.82179i | 0.472680 | − | 0.782179i | ||||
\(101\) | 13.6195 | − | 13.6195i | 1.35519 | − | 1.35519i | 0.475454 | − | 0.879741i | \(-0.342284\pi\) |
0.879741 | − | 0.475454i | \(-0.157716\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.29990 | 0.128083 | 0.0640414 | − | 0.997947i | \(-0.479601\pi\) | ||||
0.0640414 | + | 0.997947i | \(0.479601\pi\) | |||||||
\(104\) | −0.516742 | + | 17.2328i | −0.0506707 | + | 1.68981i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.699667 | − | 1.24032i | −0.0679576 | − | 0.120470i | ||||
\(107\) | 10.6692 | + | 10.6692i | 1.03143 | + | 1.03143i | 0.999490 | + | 0.0319359i | \(0.0101672\pi\) |
0.0319359 | + | 0.999490i | \(0.489833\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −8.11473 | + | 8.11473i | −0.777250 | + | 0.777250i | −0.979362 | − | 0.202112i | \(-0.935220\pi\) |
0.202112 | + | 0.979362i | \(0.435220\pi\) | |||||||
\(110\) | −1.31598 | + | 4.72205i | −0.125474 | + | 0.450229i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −3.45738 | − | 6.58258i | −0.326692 | − | 0.621995i | ||||
\(113\) | 18.0982i | 1.70253i | 0.524735 | + | 0.851266i | \(0.324164\pi\) | ||||
−0.524735 | + | 0.851266i | \(0.675836\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.337451 | − | 0.337451i | −0.0314675 | − | 0.0314675i | ||||
\(116\) | −0.607275 | − | 2.46218i | −0.0563840 | − | 0.228608i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −3.25646 | + | 1.83698i | −0.299781 | + | 0.169107i | ||||
\(119\) | − | 12.1883i | − | 1.11730i | ||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 16.9119i | 1.53745i | ||||||||
\(122\) | 5.88235 | + | 10.4278i | 0.532563 | + | 0.944088i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −5.43864 | + | 8.99973i | −0.488404 | + | 0.808200i | ||||
\(125\) | 4.43955 | + | 4.43955i | 0.397086 | + | 0.397086i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 17.6229i | − | 1.56378i | −0.623416 | − | 0.781891i | \(-0.714256\pi\) | ||
0.623416 | − | 0.781891i | \(-0.285744\pi\) | |||||||
\(128\) | 10.6968 | + | 3.68481i | 0.945475 | + | 0.325694i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −5.44804 | − | 1.51830i | −0.477825 | − | 0.133164i | ||||
\(131\) | −0.516185 | + | 0.516185i | −0.0450993 | + | 0.0450993i | −0.729297 | − | 0.684197i | \(-0.760153\pi\) |
0.684197 | + | 0.729297i | \(0.260153\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.44064 | + | 2.44064i | 0.211630 | + | 0.211630i | ||||
\(134\) | 14.7761 | − | 8.33522i | 1.27646 | − | 0.720054i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 12.7150 | + | 13.5012i | 1.09031 | + | 1.15772i | ||||
\(137\) | −9.51987 | −0.813338 | −0.406669 | − | 0.913576i | \(-0.633310\pi\) | ||||
−0.406669 | + | 0.913576i | \(0.633310\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 8.85424 | − | 8.85424i | 0.751007 | − | 0.751007i | −0.223660 | − | 0.974667i | \(-0.571801\pi\) |
0.974667 | + | 0.223660i | \(0.0718007\pi\) | |||||||
\(140\) | 2.36815 | − | 0.584082i | 0.200145 | − | 0.0493639i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −16.9094 | − | 4.71245i | −1.41901 | − | 0.395460i | ||||
\(143\) | −32.2032 | −2.69297 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.831909 | 0.0690863 | ||||||||
\(146\) | −5.08095 | − | 1.41600i | −0.420503 | − | 0.117189i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −2.69645 | − | 10.9327i | −0.221647 | − | 0.898661i | ||||
\(149\) | 12.8550 | − | 12.8550i | 1.05313 | − | 1.05313i | 0.0546187 | − | 0.998507i | \(-0.482606\pi\) |
0.998507 | − | 0.0546187i | \(-0.0173943\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −6.75375 | −0.549612 | −0.274806 | − | 0.961500i | \(-0.588614\pi\) | ||||
−0.274806 | + | 0.961500i | \(0.588614\pi\) | |||||||
\(152\) | −5.24964 | − | 0.157416i | −0.425802 | − | 0.0127681i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 12.0964 | − | 6.82362i | 0.974756 | − | 0.549863i | ||||
\(155\) | −2.43918 | − | 2.43918i | −0.195920 | − | 0.195920i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.36386 | + | 1.36386i | −0.108848 | + | 0.108848i | −0.759433 | − | 0.650585i | \(-0.774524\pi\) |
0.650585 | + | 0.759433i | \(0.274524\pi\) | |||||||
\(158\) | 0.271192 | + | 0.0755780i | 0.0215749 | + | 0.00601266i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.01390 | + | 3.11748i | −0.159213 | + | 0.246458i | ||||
\(161\) | 1.35208i | 0.106559i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 4.75407 | + | 4.75407i | 0.372368 | + | 0.372368i | 0.868339 | − | 0.495971i | \(-0.165188\pi\) |
−0.495971 | + | 0.868339i | \(0.665188\pi\) | |||||||
\(164\) | −8.73673 | − | 5.27971i | −0.682224 | − | 0.412276i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 9.80011 | + | 17.3729i | 0.760636 | + | 1.34840i | ||||
\(167\) | − | 18.6718i | − | 1.44487i | −0.691439 | − | 0.722435i | \(-0.743023\pi\) | ||
0.691439 | − | 0.722435i | \(-0.256977\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 24.1543i | − | 1.85803i | ||||||
\(170\) | −5.29895 | + | 2.98916i | −0.406411 | + | 0.229258i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −3.00550 | + | 0.741278i | −0.229167 | + | 0.0565219i | ||||
\(173\) | −13.5409 | − | 13.5409i | −1.02950 | − | 1.02950i | −0.999552 | − | 0.0299462i | \(-0.990466\pi\) |
−0.0299462 | − | 0.999552i | \(-0.509534\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | − | 8.49400i | − | 0.642086i | ||||||
\(176\) | −6.28084 | + | 20.1778i | −0.473436 | + | 1.52096i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 2.85965 | − | 10.2611i | 0.214340 | − | 0.769103i | ||||
\(179\) | 13.2637 | − | 13.2637i | 0.991375 | − | 0.991375i | −0.00858851 | − | 0.999963i | \(-0.502734\pi\) |
0.999963 | + | 0.00858851i | \(0.00273384\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.588855 | + | 0.588855i | 0.0437692 | + | 0.0437692i | 0.728653 | − | 0.684883i | \(-0.240147\pi\) |
−0.684883 | + | 0.728653i | \(0.740147\pi\) | |||||||
\(182\) | 7.87272 | + | 13.9562i | 0.583565 | + | 1.03450i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.41051 | − | 1.49772i | −0.103984 | − | 0.110413i | ||||
\(185\) | 3.69388 | 0.271579 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −24.4954 | + | 24.4954i | −1.79128 | + | 1.79128i | ||||
\(188\) | 11.6649 | + | 7.04923i | 0.850750 | + | 0.514118i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.462523 | − | 1.65964i | 0.0335549 | − | 0.120403i | ||||
\(191\) | −8.73890 | −0.632325 | −0.316162 | − | 0.948705i | \(-0.602394\pi\) | ||||
−0.316162 | + | 0.948705i | \(0.602394\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −11.8318 | −0.851673 | −0.425836 | − | 0.904800i | \(-0.640020\pi\) | ||||
−0.425836 | + | 0.904800i | \(0.640020\pi\) | |||||||
\(194\) | −3.72807 | + | 13.3772i | −0.267660 | + | 0.960428i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 6.06764 | + | 3.66674i | 0.433403 | + | 0.261910i | ||||
\(197\) | −6.04244 | + | 6.04244i | −0.430506 | + | 0.430506i | −0.888800 | − | 0.458295i | \(-0.848460\pi\) |
0.458295 | + | 0.888800i | \(0.348460\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −11.7641 | −0.833934 | −0.416967 | − | 0.908922i | \(-0.636907\pi\) | ||||
−0.416967 | + | 0.908922i | \(0.636907\pi\) | |||||||
\(200\) | 8.86107 | + | 9.40891i | 0.626572 | + | 0.665310i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 13.3831 | + | 23.7246i | 0.941635 | + | 1.66926i | ||||
\(203\) | −1.66662 | − | 1.66662i | −0.116974 | − | 0.116974i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.36790 | − | 2.36790i | 0.165381 | − | 0.165381i | ||||
\(206\) | −0.493515 | + | 1.77085i | −0.0343848 | + | 0.123381i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −23.2800 | − | 7.24649i | −1.61418 | − | 0.502453i | ||||
\(209\) | − | 9.81012i | − | 0.678580i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 14.2861 | + | 14.2861i | 0.983498 | + | 0.983498i | 0.999866 | − | 0.0163680i | \(-0.00521031\pi\) |
−0.0163680 | + | 0.999866i | \(0.505210\pi\) | |||||||
\(212\) | 1.95532 | − | 0.482261i | 0.134292 | − | 0.0331218i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −18.5852 | + | 10.4840i | −1.27046 | + | 0.716669i | ||||
\(215\) | − | 1.01548i | − | 0.0692553i | ||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 9.77317i | 0.663446i | ||||||||
\(218\) | −7.97389 | − | 14.1355i | −0.540060 | − | 0.957378i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −5.93322 | − | 3.58551i | −0.400018 | − | 0.241735i | ||||
\(221\) | −28.2615 | − | 28.2615i | −1.90107 | − | 1.90107i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 25.2083i | 1.68807i | 0.536286 | + | 0.844036i | \(0.319827\pi\) | ||||
−0.536286 | + | 0.844036i | \(0.680173\pi\) | |||||||
\(224\) | 10.2801 | − | 2.21088i | 0.686866 | − | 0.147720i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −24.6551 | − | 6.87109i | −1.64003 | − | 0.457058i | ||||
\(227\) | 5.31259 | − | 5.31259i | 0.352609 | − | 0.352609i | −0.508470 | − | 0.861080i | \(-0.669789\pi\) |
0.861080 | + | 0.508470i | \(0.169789\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −6.10498 | − | 6.10498i | −0.403429 | − | 0.403429i | 0.476011 | − | 0.879439i | \(-0.342082\pi\) |
−0.879439 | + | 0.476011i | \(0.842082\pi\) | |||||||
\(230\) | 0.587826 | − | 0.331594i | 0.0387601 | − | 0.0218647i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.58478 | + | 0.107493i | 0.235353 | + | 0.00705729i | ||||
\(233\) | −8.03106 | −0.526132 | −0.263066 | − | 0.964778i | \(-0.584734\pi\) | ||||
−0.263066 | + | 0.964778i | \(0.584734\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −3.16152 | + | 3.16152i | −0.206235 | + | 0.206235i | ||||
\(236\) | −1.26618 | − | 5.13369i | −0.0824212 | − | 0.334175i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 16.6042 | + | 4.62738i | 1.07629 | + | 0.299948i | ||||
\(239\) | 16.4509 | 1.06412 | 0.532060 | − | 0.846706i | \(-0.321418\pi\) | ||||
0.532060 | + | 0.846706i | \(0.321418\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.21157 | 0.206876 | 0.103438 | − | 0.994636i | \(-0.467016\pi\) | ||||
0.103438 | + | 0.994636i | \(0.467016\pi\) | |||||||
\(242\) | −23.0391 | − | 6.42072i | −1.48101 | − | 0.412740i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −16.4390 | + | 4.05454i | −1.05240 | + | 0.259565i | ||||
\(245\) | −1.64450 | + | 1.64450i | −0.105063 | + | 0.105063i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 11.3184 | 0.720172 | ||||||||
\(248\) | −10.1955 | − | 10.8259i | −0.647416 | − | 0.687443i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −7.73350 | + | 4.36249i | −0.489110 | + | 0.275908i | ||||
\(251\) | −0.155779 | − | 0.155779i | −0.00983268 | − | 0.00983268i | 0.702173 | − | 0.712006i | \(-0.252213\pi\) |
−0.712006 | + | 0.702173i | \(0.752213\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2.71734 | − | 2.71734i | 0.170837 | − | 0.170837i | ||||
\(254\) | 24.0077 | + | 6.69066i | 1.50638 | + | 0.419809i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −9.08094 | + | 13.1733i | −0.567559 | + | 0.823333i | ||||
\(257\) | 13.0277i | 0.812646i | 0.913729 | + | 0.406323i | \(0.133189\pi\) | ||||
−0.913729 | + | 0.406323i | \(0.866811\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −7.40021 | − | 7.40021i | −0.459827 | − | 0.459827i | ||||
\(260\) | 4.13677 | − | 6.84543i | 0.256552 | − | 0.424535i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −0.507226 | − | 0.899172i | −0.0313365 | − | 0.0555510i | ||||
\(263\) | 14.3366i | 0.884032i | 0.897007 | + | 0.442016i | \(0.145736\pi\) | ||||
−0.897007 | + | 0.442016i | \(0.854264\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.660652i | 0.0405835i | ||||||||
\(266\) | −4.25149 | + | 2.39828i | −0.260676 | + | 0.147048i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5.74524 | + | 23.2940i | 0.350947 | + | 1.42290i | ||||
\(269\) | 9.05831 | + | 9.05831i | 0.552295 | + | 0.552295i | 0.927103 | − | 0.374807i | \(-0.122291\pi\) |
−0.374807 | + | 0.927103i | \(0.622291\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 25.2882i | 1.53615i | 0.640360 | + | 0.768075i | \(0.278785\pi\) | ||||
−0.640360 | + | 0.768075i | \(0.721215\pi\) | |||||||
\(272\) | −23.2200 | + | 12.1959i | −1.40792 | + | 0.739485i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 3.61428 | − | 12.9689i | 0.218347 | − | 0.783481i | ||||
\(275\) | −17.0708 | + | 17.0708i | −1.02941 | + | 1.02941i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.54879 | − | 4.54879i | −0.273310 | − | 0.273310i | 0.557121 | − | 0.830431i | \(-0.311906\pi\) |
−0.830431 | + | 0.557121i | \(0.811906\pi\) | |||||||
\(278\) | 8.70056 | + | 15.4237i | 0.521825 | + | 0.925052i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.103388 | + | 3.44788i | −0.00617862 | + | 0.206050i | ||||
\(281\) | 18.3548 | 1.09495 | 0.547477 | − | 0.836820i | \(-0.315588\pi\) | ||||
0.547477 | + | 0.836820i | \(0.315588\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 10.0643 | − | 10.0643i | 0.598259 | − | 0.598259i | −0.341590 | − | 0.939849i | \(-0.610965\pi\) |
0.939849 | + | 0.341590i | \(0.110965\pi\) | |||||||
\(284\) | 12.8395 | − | 21.2466i | 0.761887 | − | 1.26075i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 12.2262 | − | 43.8705i | 0.722949 | − | 2.59412i | ||||
\(287\) | −9.48757 | −0.560034 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −25.9942 | −1.52907 | ||||||||
\(290\) | −0.315840 | + | 1.13331i | −0.0185468 | + | 0.0665502i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 3.85804 | − | 6.38419i | 0.225775 | − | 0.373606i | ||||
\(293\) | −0.876200 | + | 0.876200i | −0.0511882 | + | 0.0511882i | −0.732238 | − | 0.681049i | \(-0.761524\pi\) |
0.681049 | + | 0.732238i | \(0.261524\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.73454 | 0.100989 | ||||||||
\(296\) | 15.9173 | + | 0.477297i | 0.925175 | + | 0.0277423i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 12.6319 | + | 22.3929i | 0.731747 | + | 1.29719i | ||||
\(299\) | 3.13511 | + | 3.13511i | 0.181308 | + | 0.181308i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.03439 | + | 2.03439i | −0.117260 | + | 0.117260i | ||||
\(302\) | 2.56411 | − | 9.20063i | 0.147548 | − | 0.529437i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 2.20751 | − | 7.09182i | 0.126609 | − | 0.406744i | ||||
\(305\) | − | 5.55434i | − | 0.318041i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −13.8024 | − | 13.8024i | −0.787744 | − | 0.787744i | 0.193380 | − | 0.981124i | \(-0.438055\pi\) |
−0.981124 | + | 0.193380i | \(0.938055\pi\) | |||||||
\(308\) | 4.70333 | + | 19.0696i | 0.267997 | + | 1.08659i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 4.24895 | − | 2.39684i | 0.241324 | − | 0.136132i | ||||
\(311\) | − | 12.4588i | − | 0.706472i | −0.935534 | − | 0.353236i | \(-0.885081\pi\) | ||
0.935534 | − | 0.353236i | \(-0.114919\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 12.1941i | − | 0.689249i | −0.938741 | − | 0.344625i | \(-0.888006\pi\) | ||
0.938741 | − | 0.344625i | \(-0.111994\pi\) | |||||||
\(314\) | −1.34019 | − | 2.37579i | −0.0756312 | − | 0.134073i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.205920 | + | 0.340751i | −0.0115839 | + | 0.0191688i | ||||
\(317\) | 18.9130 | + | 18.9130i | 1.06226 | + | 1.06226i | 0.997929 | + | 0.0643287i | \(0.0204906\pi\) |
0.0643287 | + | 0.997929i | \(0.479509\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 6.69897i | 0.375070i | ||||||||
\(320\) | −3.48235 | − | 3.92711i | −0.194669 | − | 0.219532i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −1.84194 | − | 0.513327i | −0.102647 | − | 0.0286066i | ||||
\(323\) | 8.60934 | − | 8.60934i | 0.479036 | − | 0.479036i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −19.6953 | − | 19.6953i | −1.09250 | − | 1.09250i | ||||
\(326\) | −8.28138 | + | 4.67155i | −0.458663 | + | 0.258733i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 10.5095 | − | 9.89758i | 0.580290 | − | 0.546502i | ||||
\(329\) | 12.6674 | 0.698375 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.852960 | − | 0.852960i | 0.0468829 | − | 0.0468829i | −0.683277 | − | 0.730160i | \(-0.739446\pi\) |
0.730160 | + | 0.683277i | \(0.239446\pi\) | |||||||
\(332\) | −27.3878 | + | 6.75495i | −1.50310 | + | 0.370726i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 25.4366 | + | 7.08888i | 1.39183 | + | 0.387887i | ||||
\(335\) | −7.87044 | −0.430008 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 32.9286 | 1.79374 | 0.896869 | − | 0.442297i | \(-0.145836\pi\) | ||||
0.896869 | + | 0.442297i | \(0.145836\pi\) | |||||||
\(338\) | 32.9055 | + | 9.17036i | 1.78982 | + | 0.498802i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −2.06034 | − | 8.35361i | −0.111738 | − | 0.453038i | ||||
\(341\) | 19.6416 | − | 19.6416i | 1.06365 | − | 1.06365i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 19.6009 | 1.05835 | ||||||||
\(344\) | 0.131213 | − | 4.37582i | 0.00707455 | − | 0.235928i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 23.5877 | − | 13.3059i | 1.26808 | − | 0.715330i | ||||
\(347\) | 13.8785 | + | 13.8785i | 0.745036 | + | 0.745036i | 0.973542 | − | 0.228506i | \(-0.0733841\pi\) |
−0.228506 | + | 0.973542i | \(0.573384\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 19.2311 | − | 19.2311i | 1.02942 | − | 1.02942i | 0.0298648 | − | 0.999554i | \(-0.490492\pi\) |
0.999554 | − | 0.0298648i | \(-0.00950766\pi\) | |||||||
\(350\) | 11.5714 | + | 3.22480i | 0.618516 | + | 0.172373i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −25.1036 | − | 16.2170i | −1.33803 | − | 0.864369i | ||||
\(353\) | 12.1549i | 0.646939i | 0.946239 | + | 0.323469i | \(0.104849\pi\) | ||||
−0.946239 | + | 0.323469i | \(0.895151\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 5.75842 | + | 5.75842i | 0.305625 | + | 0.305625i | ||||
\(356\) | 12.8930 | + | 7.79141i | 0.683330 | + | 0.412944i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 13.0335 | + | 23.1048i | 0.688840 | + | 1.22112i | ||||
\(359\) | − | 2.82558i | − | 0.149128i | −0.997216 | − | 0.0745642i | \(-0.976243\pi\) | ||
0.997216 | − | 0.0745642i | \(-0.0237566\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | − | 15.5521i | − | 0.818530i | ||||||
\(362\) | −1.02576 | + | 0.578634i | −0.0539127 | + | 0.0304123i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −22.0014 | + | 5.42645i | −1.15319 | + | 0.284423i | ||||
\(365\) | 1.73030 | + | 1.73030i | 0.0905678 | + | 0.0905678i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 9.20981i | 0.480748i | 0.970680 | + | 0.240374i | \(0.0772701\pi\) | ||||
−0.970680 | + | 0.240374i | \(0.922730\pi\) | |||||||
\(368\) | 2.57585 | − | 1.35292i | 0.134275 | − | 0.0705259i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −1.40241 | + | 5.03217i | −0.0729076 | + | 0.261610i | ||||
\(371\) | 1.32353 | − | 1.32353i | 0.0687143 | − | 0.0687143i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 15.4719 | + | 15.4719i | 0.801107 | + | 0.801107i | 0.983269 | − | 0.182162i | \(-0.0583094\pi\) |
−0.182162 | + | 0.983269i | \(0.558309\pi\) | |||||||
\(374\) | −24.0703 | − | 42.6699i | −1.24464 | − | 2.20641i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −14.0318 | + | 13.2148i | −0.723636 | + | 0.681501i | ||||
\(377\) | −7.72891 | −0.398059 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −6.10456 | + | 6.10456i | −0.313570 | + | 0.313570i | −0.846291 | − | 0.532721i | \(-0.821170\pi\) |
0.532721 | + | 0.846291i | \(0.321170\pi\) | |||||||
\(380\) | 2.08533 | + | 1.26019i | 0.106975 | + | 0.0646464i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 3.31778 | − | 11.9050i | 0.169753 | − | 0.609113i | ||||
\(383\) | −1.66755 | −0.0852078 | −0.0426039 | − | 0.999092i | \(-0.513565\pi\) | ||||
−0.0426039 | + | 0.999092i | \(0.513565\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −6.44313 | −0.328372 | ||||||||
\(386\) | 4.49203 | − | 16.1185i | 0.228638 | − | 0.820409i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −16.8084 | − | 10.1575i | −0.853317 | − | 0.515669i | ||||
\(389\) | −18.2598 | + | 18.2598i | −0.925810 | + | 0.925810i | −0.997432 | − | 0.0716217i | \(-0.977183\pi\) |
0.0716217 | + | 0.997432i | \(0.477183\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 4.76945 | 0.241202 | ||||||||
\(392\) | −7.29883 | + | 6.87384i | −0.368646 | + | 0.347182i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −5.93756 | − | 10.5257i | −0.299130 | − | 0.530275i | ||||
\(395\) | −0.0923532 | − | 0.0923532i | −0.00464679 | − | 0.00464679i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 7.45587 | − | 7.45587i | 0.374199 | − | 0.374199i | −0.494805 | − | 0.869004i | \(-0.664760\pi\) |
0.869004 | + | 0.494805i | \(0.164760\pi\) | |||||||
\(398\) | 4.46632 | − | 16.0262i | 0.223876 | − | 0.803322i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −16.1819 | + | 8.49927i | −0.809096 | + | 0.424964i | ||||
\(401\) | 26.1001i | 1.30338i | 0.758487 | + | 0.651688i | \(0.225939\pi\) | ||||
−0.758487 | + | 0.651688i | \(0.774061\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 22.6614 | + | 22.6614i | 1.12884 | + | 1.12884i | ||||
\(404\) | −37.4011 | + | 9.22464i | −1.86077 | + | 0.458943i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 2.90318 | − | 1.63770i | 0.144083 | − | 0.0812775i | ||||
\(407\) | 29.7451i | 1.47441i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | − | 26.4012i | − | 1.30546i | −0.757592 | − | 0.652728i | \(-0.773624\pi\) | ||
0.757592 | − | 0.652728i | \(-0.226376\pi\) | |||||||
\(410\) | 2.32680 | + | 4.12478i | 0.114913 | + | 0.203708i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −2.22506 | − | 1.34463i | −0.109621 | − | 0.0662452i | ||||
\(413\) | −3.47494 | − | 3.47494i | −0.170990 | − | 0.170990i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | − | 9.25365i | − | 0.454244i | ||||||
\(416\) | 18.7103 | − | 28.9632i | 0.917348 | − | 1.42004i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 13.3643 | + | 3.72448i | 0.653671 | + | 0.182170i | ||||
\(419\) | −12.4672 | + | 12.4672i | −0.609061 | + | 0.609061i | −0.942701 | − | 0.333640i | \(-0.891723\pi\) |
0.333640 | + | 0.942701i | \(0.391723\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −16.2503 | − | 16.2503i | −0.791992 | − | 0.791992i | 0.189826 | − | 0.981818i | \(-0.439208\pi\) |
−0.981818 | + | 0.189826i | \(0.939208\pi\) | |||||||
\(422\) | −24.8858 | + | 14.0382i | −1.21142 | + | 0.683368i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.0853648 | + | 2.84682i | −0.00414568 | + | 0.138254i | ||||
\(425\) | −29.9625 | −1.45340 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −11.1274 | + | 11.1274i | −0.538493 | + | 0.538493i | ||||
\(428\) | −7.22631 | − | 29.2989i | −0.349297 | − | 1.41622i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1.38339 | + | 0.385534i | 0.0667130 | + | 0.0185921i | ||||
\(431\) | 25.7670 | 1.24115 | 0.620576 | − | 0.784146i | \(-0.286899\pi\) | ||||
0.620576 | + | 0.784146i | \(0.286899\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 21.5016 | 1.03330 | 0.516652 | − | 0.856196i | \(-0.327178\pi\) | ||||
0.516652 | + | 0.856196i | \(0.327178\pi\) | |||||||
\(434\) | −13.3140 | − | 3.71045i | −0.639092 | − | 0.178107i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 22.2841 | − | 5.49618i | 1.06722 | − | 0.263219i | ||||
\(437\) | −0.955055 | + | 0.955055i | −0.0456865 | + | 0.0456865i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −22.7689 | −1.08670 | −0.543349 | − | 0.839507i | \(-0.682844\pi\) | ||||
−0.543349 | + | 0.839507i | \(0.682844\pi\) | |||||||
\(440\) | 7.13713 | − | 6.72156i | 0.340249 | − | 0.320438i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 49.2303 | − | 27.7709i | 2.34164 | − | 1.32093i | ||||
\(443\) | 10.2897 | + | 10.2897i | 0.488878 | + | 0.488878i | 0.907952 | − | 0.419074i | \(-0.137645\pi\) |
−0.419074 | + | 0.907952i | \(0.637645\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.49438 | + | 3.49438i | −0.165649 | + | 0.165649i | ||||
\(446\) | −34.3413 | − | 9.57050i | −1.62611 | − | 0.453176i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.891020 | + | 14.8439i | −0.0420967 | + | 0.701308i | ||||
\(449\) | − | 21.5190i | − | 1.01555i | −0.861491 | − | 0.507773i | \(-0.830469\pi\) | ||
0.861491 | − | 0.507773i | \(-0.169531\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 19.0676 | + | 19.0676i | 0.897858 | + | 0.897858i | ||||
\(452\) | 18.7210 | − | 30.9790i | 0.880560 | − | 1.45713i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 5.22038 | + | 9.25431i | 0.245005 | + | 0.434326i | ||||
\(455\) | − | 7.43373i | − | 0.348498i | ||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | − | 6.79833i | − | 0.318012i | −0.987278 | − | 0.159006i | \(-0.949171\pi\) | ||
0.987278 | − | 0.159006i | \(-0.0508290\pi\) | |||||||
\(458\) | 10.6346 | − | 5.99902i | 0.496923 | − | 0.280316i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.228559 | + | 0.926687i | 0.0106566 | + | 0.0432070i | ||||
\(461\) | 19.4466 | + | 19.4466i | 0.905720 | + | 0.905720i | 0.995923 | − | 0.0902034i | \(-0.0287517\pi\) |
−0.0902034 | + | 0.995923i | \(0.528752\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 10.1469i | − | 0.471566i | −0.971806 | − | 0.235783i | \(-0.924235\pi\) | ||
0.971806 | − | 0.235783i | \(-0.0757654\pi\) | |||||||
\(464\) | −1.50743 | + | 4.84274i | −0.0699805 | + | 0.224819i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 3.04905 | − | 10.9407i | 0.141244 | − | 0.506819i | ||||
\(467\) | 2.71845 | − | 2.71845i | 0.125795 | − | 0.125795i | −0.641406 | − | 0.767201i | \(-0.721649\pi\) |
0.767201 | + | 0.641406i | \(0.221649\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 15.7674 | + | 15.7674i | 0.728072 | + | 0.728072i | ||||
\(470\) | −3.10664 | − | 5.50722i | −0.143299 | − | 0.254029i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 7.47434 | + | 0.224126i | 0.344034 | + | 0.0103162i | ||||
\(473\) | 8.17719 | 0.375988 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 5.99981 | − | 5.99981i | 0.275290 | − | 0.275290i | ||||
\(476\) | −12.6078 | + | 20.8630i | −0.577876 | + | 0.956255i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −6.24570 | + | 22.4111i | −0.285672 | + | 1.02506i | ||||
\(479\) | 2.18580 | 0.0998716 | 0.0499358 | − | 0.998752i | \(-0.484098\pi\) | ||||
0.0499358 | + | 0.998752i | \(0.484098\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −34.3182 | −1.56478 | ||||||||
\(482\) | −1.21930 | + | 4.37513i | −0.0555374 | + | 0.199282i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 17.4939 | − | 28.9485i | 0.795177 | − | 1.31584i | ||||
\(485\) | 4.55555 | − | 4.55555i | 0.206857 | − | 0.206857i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 6.03958 | 0.273679 | 0.136840 | − | 0.990593i | \(-0.456305\pi\) | ||||
0.136840 | + | 0.990593i | \(0.456305\pi\) | |||||||
\(488\) | 0.717693 | − | 23.9342i | 0.0324884 | − | 1.08345i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.61596 | − | 2.86465i | −0.0730016 | − | 0.129412i | ||||
\(491\) | −15.4395 | − | 15.4395i | −0.696777 | − | 0.696777i | 0.266937 | − | 0.963714i | \(-0.413988\pi\) |
−0.963714 | + | 0.266937i | \(0.913988\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −5.87900 | + | 5.87900i | −0.264777 | + | 0.264777i | ||||
\(494\) | −4.29710 | + | 15.4190i | −0.193336 | + | 0.693735i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 18.6189 | − | 9.77924i | 0.836012 | − | 0.439101i | ||||
\(497\) | − | 23.0725i | − | 1.03494i | ||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −9.67414 | − | 9.67414i | −0.433074 | − | 0.433074i | 0.456599 | − | 0.889673i | \(-0.349068\pi\) |
−0.889673 | + | 0.456599i | \(0.849068\pi\) | |||||||
\(500\) | −3.00695 | − | 12.1916i | −0.134475 | − | 0.545225i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0.271360 | − | 0.153075i | 0.0121114 | − | 0.00683207i | ||||
\(503\) | 31.7197i | 1.41431i | 0.707057 | + | 0.707156i | \(0.250022\pi\) | ||||
−0.707057 | + | 0.707156i | \(0.749978\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | − | 12.6369i | − | 0.562334i | ||||||
\(506\) | 2.67017 | + | 4.73348i | 0.118704 | + | 0.210429i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −18.2294 | + | 30.1655i | −0.808797 | + | 1.33838i | ||||
\(509\) | 4.16082 | + | 4.16082i | 0.184425 | + | 0.184425i | 0.793281 | − | 0.608856i | \(-0.208371\pi\) |
−0.608856 | + | 0.793281i | \(0.708371\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | − | 6.93285i | − | 0.306691i | ||||||
\(512\) | −14.4984 | − | 17.3723i | −0.640744 | − | 0.767755i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −17.7476 | − | 4.94606i | −0.782815 | − | 0.218161i | ||||
\(515\) | 0.603055 | − | 0.603055i | 0.0265738 | − | 0.0265738i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −25.4582 | − | 25.4582i | −1.11965 | − | 1.11965i | ||||
\(518\) | 12.8908 | − | 7.27177i | 0.566391 | − | 0.319503i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 7.75497 | + | 8.23443i | 0.340078 | + | 0.361104i | ||||
\(521\) | −0.107484 | −0.00470896 | −0.00235448 | − | 0.999997i | \(-0.500749\pi\) | ||||
−0.00235448 | + | 0.999997i | \(0.500749\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −3.02020 | + | 3.02020i | −0.132064 | + | 0.132064i | −0.770049 | − | 0.637985i | \(-0.779768\pi\) |
0.637985 | + | 0.770049i | \(0.279768\pi\) | |||||||
\(524\) | 1.41751 | − | 0.349617i | 0.0619244 | − | 0.0152731i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −19.5307 | − | 5.44298i | −0.851580 | − | 0.237325i | ||||
\(527\) | 34.4748 | 1.50174 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 22.4709 | 0.976996 | ||||||||
\(530\) | −0.900007 | − | 0.250821i | −0.0390938 | − | 0.0108950i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −1.65307 | − | 6.70232i | −0.0716696 | − | 0.290583i | ||||
\(533\) | −21.9991 | + | 21.9991i | −0.952889 | + | 0.952889i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 9.89937 | 0.427987 | ||||||||
\(536\) | −33.9146 | − | 1.01696i | −1.46489 | − | 0.0439261i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −15.7792 | + | 8.90109i | −0.680289 | + | 0.383753i | ||||
\(539\) | −13.2424 | − | 13.2424i | −0.570391 | − | 0.570391i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −5.72807 | + | 5.72807i | −0.246269 | + | 0.246269i | −0.819437 | − | 0.573169i | \(-0.805714\pi\) |
0.573169 | + | 0.819437i | \(0.305714\pi\) | |||||||
\(542\) | −34.4501 | − | 9.60084i | −1.47976 | − | 0.412391i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −7.79884 | − | 36.2628i | −0.334373 | − | 1.55476i | ||||
\(545\) | 7.52925i | 0.322518i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 13.2259 | + | 13.2259i | 0.565500 | + | 0.565500i | 0.930865 | − | 0.365365i | \(-0.119056\pi\) |
−0.365365 | + | 0.930865i | \(0.619056\pi\) | |||||||
\(548\) | 16.2954 | + | 9.84747i | 0.696104 | + | 0.420663i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −16.7745 | − | 29.7365i | −0.715266 | − | 1.26797i | ||||
\(551\) | − | 2.35447i | − | 0.100304i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.370036i | 0.0157355i | ||||||||
\(554\) | 7.92379 | − | 4.46984i | 0.336650 | − | 0.189905i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −24.3149 | + | 5.99706i | −1.03118 | + | 0.254332i | ||||
\(557\) | 21.4603 | + | 21.4603i | 0.909301 | + | 0.909301i | 0.996216 | − | 0.0869144i | \(-0.0277007\pi\) |
−0.0869144 | + | 0.996216i | \(0.527701\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 9.43440i | 0.399032i | ||||||||
\(560\) | −4.65779 | − | 1.44985i | −0.196827 | − | 0.0612675i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −6.96852 | + | 25.0047i | −0.293949 | + | 1.05476i | ||||
\(563\) | −29.5192 | + | 29.5192i | −1.24409 | + | 1.24409i | −0.285797 | + | 0.958290i | \(0.592258\pi\) |
−0.958290 | + | 0.285797i | \(0.907742\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 8.39618 | + | 8.39618i | 0.353230 | + | 0.353230i | ||||
\(566\) | 9.88960 | + | 17.5315i | 0.415691 | + | 0.736906i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 24.0696 | + | 25.5577i | 1.00994 | + | 1.07238i | ||||
\(569\) | 11.3544 | 0.476003 | 0.238001 | − | 0.971265i | \(-0.423508\pi\) | ||||
0.238001 | + | 0.971265i | \(0.423508\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1.37894 | + | 1.37894i | −0.0577066 | + | 0.0577066i | −0.735371 | − | 0.677665i | \(-0.762992\pi\) |
0.677665 | + | 0.735371i | \(0.262992\pi\) | |||||||
\(572\) | 55.1230 | + | 33.3114i | 2.30481 | + | 1.39282i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 3.60202 | − | 12.9249i | 0.150345 | − | 0.539476i | ||||
\(575\) | 3.32381 | 0.138613 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 6.63854 | 0.276366 | 0.138183 | − | 0.990407i | \(-0.455874\pi\) | ||||
0.138183 | + | 0.990407i | \(0.455874\pi\) | |||||||
\(578\) | 9.86888 | − | 35.4119i | 0.410491 | − | 1.47294i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −1.42400 | − | 0.860537i | −0.0591282 | − | 0.0357319i | ||||
\(581\) | −18.5385 | + | 18.5385i | −0.769106 | + | 0.769106i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −5.31992 | −0.220329 | ||||||||
\(584\) | 7.23245 | + | 7.67960i | 0.299281 | + | 0.317784i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −0.860992 | − | 1.52630i | −0.0355673 | − | 0.0630510i | ||||
\(587\) | −21.0123 | − | 21.0123i | −0.867269 | − | 0.867269i | 0.124900 | − | 0.992169i | \(-0.460139\pi\) |
−0.992169 | + | 0.124900i | \(0.960139\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −6.90337 | + | 6.90337i | −0.284448 | + | 0.284448i | ||||
\(590\) | −0.658531 | + | 2.36297i | −0.0271113 | + | 0.0972819i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −6.69334 | + | 21.5030i | −0.275094 | + | 0.883766i | ||||
\(593\) | − | 33.0340i | − | 1.35654i | −0.734812 | − | 0.678271i | \(-0.762729\pi\) | ||
0.734812 | − | 0.678271i | \(-0.237271\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −5.65447 | − | 5.65447i | −0.231811 | − | 0.231811i | ||||
\(596\) | −35.3017 | + | 8.70684i | −1.44601 | + | 0.356646i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −5.46123 | + | 3.08070i | −0.223326 | + | 0.125979i | ||||
\(599\) | 16.4107i | 0.670522i | 0.942125 | + | 0.335261i | \(0.108824\pi\) | ||||
−0.942125 | + | 0.335261i | \(0.891176\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 34.3301i | 1.40035i | 0.713969 | + | 0.700177i | \(0.246896\pi\) | ||||
−0.713969 | + | 0.700177i | \(0.753104\pi\) | |||||||
\(602\) | −1.99908 | − | 3.54381i | −0.0814762 | − | 0.144435i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 11.5605 | + | 6.98616i | 0.470391 | + | 0.284263i | ||||
\(605\) | 7.84586 | + | 7.84586i | 0.318980 | + | 0.318980i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 42.5123i | 1.72552i | 0.505614 | + | 0.862760i | \(0.331266\pi\) | ||||
−0.505614 | + | 0.862760i | \(0.668734\pi\) | |||||||
\(608\) | 8.82309 | + | 5.69974i | 0.357823 | + | 0.231155i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 7.56668 | + | 2.10874i | 0.306366 | + | 0.0853805i | ||||
\(611\) | 29.3723 | − | 29.3723i | 1.18828 | − | 1.18828i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −11.1129 | − | 11.1129i | −0.448845 | − | 0.448845i | 0.446126 | − | 0.894970i | \(-0.352803\pi\) |
−0.894970 | + | 0.446126i | \(0.852803\pi\) | |||||||
\(614\) | 24.0432 | − | 13.5628i | 0.970304 | − | 0.547351i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −27.7641 | − | 0.832535i | −1.11865 | − | 0.0335438i | ||||
\(617\) | 33.8647 | 1.36334 | 0.681671 | − | 0.731659i | \(-0.261254\pi\) | ||||
0.681671 | + | 0.731659i | \(0.261254\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 0.960938 | − | 0.960938i | 0.0386234 | − | 0.0386234i | −0.687531 | − | 0.726155i | \(-0.741306\pi\) |
0.726155 | + | 0.687531i | \(0.241306\pi\) | |||||||
\(620\) | 1.65208 | + | 6.69832i | 0.0663491 | + | 0.269011i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 16.9726 | + | 4.73005i | 0.680538 | + | 0.189658i | ||||
\(623\) | 14.0011 | 0.560941 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −18.7285 | −0.749140 | ||||||||
\(626\) | 16.6120 | + | 4.62956i | 0.663948 | + | 0.185034i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 3.74535 | − | 0.923756i | 0.149456 | − | 0.0368619i | ||||
\(629\) | −26.1042 | + | 26.1042i | −1.04084 | + | 1.04084i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −15.2529 | −0.607210 | −0.303605 | − | 0.952798i | \(-0.598190\pi\) | ||||
−0.303605 | + | 0.952798i | \(0.598190\pi\) | |||||||
\(632\) | −0.386027 | − | 0.409893i | −0.0153553 | − | 0.0163047i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −32.9455 | + | 18.5847i | −1.30843 | + | 0.738092i | ||||
\(635\) | −8.17571 | − | 8.17571i | −0.324443 | − | 0.324443i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 15.2784 | − | 15.2784i | 0.605351 | − | 0.605351i | ||||
\(638\) | −9.12601 | − | 2.54331i | −0.361302 | − | 0.100691i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 6.67200 | − | 3.25305i | 0.263734 | − | 0.128588i | ||||
\(641\) | − | 8.86880i | − | 0.350297i | −0.984542 | − | 0.175148i | \(-0.943960\pi\) | ||
0.984542 | − | 0.175148i | \(-0.0560405\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −22.1302 | − | 22.1302i | −0.872730 | − | 0.872730i | 0.120039 | − | 0.992769i | \(-0.461698\pi\) |
−0.992769 | + | 0.120039i | \(0.961698\pi\) | |||||||
\(644\) | 1.39861 | − | 2.31439i | 0.0551129 | − | 0.0911996i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 8.45990 | + | 14.9971i | 0.332850 | + | 0.590053i | ||||
\(647\) | − | 28.2219i | − | 1.10952i | −0.832011 | − | 0.554759i | \(-0.812810\pi\) | ||
0.832011 | − | 0.554759i | \(-0.187190\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 13.9675i | 0.548271i | ||||||||
\(650\) | 34.3084 | − | 19.3535i | 1.34569 | − | 0.759106i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −3.21998 | − | 13.0553i | −0.126104 | − | 0.511286i | ||||
\(653\) | −21.7199 | − | 21.7199i | −0.849964 | − | 0.849964i | 0.140164 | − | 0.990128i | \(-0.455237\pi\) |
−0.990128 | + | 0.140164i | \(0.955237\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.478942i | 0.0187138i | ||||||||
\(656\) | 9.49346 | + | 18.0748i | 0.370657 | + | 0.705701i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −4.80926 | + | 17.2568i | −0.187484 | + | 0.672739i | ||||
\(659\) | −18.3081 | + | 18.3081i | −0.713181 | + | 0.713181i | −0.967199 | − | 0.254018i | \(-0.918248\pi\) |
0.254018 | + | 0.967199i | \(0.418248\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 14.2270 | + | 14.2270i | 0.553366 | + | 0.553366i | 0.927411 | − | 0.374045i | \(-0.122029\pi\) |
−0.374045 | + | 0.927411i | \(0.622029\pi\) | |||||||
\(662\) | 0.838155 | + | 1.48582i | 0.0325758 | + | 0.0577480i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.19569 | − | 39.8749i | 0.0464018 | − | 1.54745i | ||||
\(665\) | 2.26455 | 0.0878154 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.652171 | − | 0.652171i | 0.0252522 | − | 0.0252522i | ||||
\(668\) | −19.3144 | + | 31.9610i | −0.747296 | + | 1.23661i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 2.98807 | − | 10.7219i | 0.115439 | − | 0.414223i | ||||
\(671\) | 44.7265 | 1.72665 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −24.8456 | −0.957727 | −0.478863 | − | 0.877889i | \(-0.658951\pi\) | ||||
−0.478863 | + | 0.877889i | \(0.658951\pi\) | |||||||
\(674\) | −12.5016 | + | 44.8587i | −0.481543 | + | 1.72789i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −24.9856 | + | 41.3455i | −0.960983 | + | 1.59021i | ||||
\(677\) | 19.3414 | − | 19.3414i | 0.743350 | − | 0.743350i | −0.229871 | − | 0.973221i | \(-0.573830\pi\) |
0.973221 | + | 0.229871i | \(0.0738303\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −18.2529 | −0.700482 | ||||||||
\(680\) | 12.1623 | + | 0.364700i | 0.466405 | + | 0.0139856i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 19.3007 | + | 34.2148i | 0.739060 | + | 1.31015i | ||||
\(683\) | −12.6585 | − | 12.6585i | −0.484363 | − | 0.484363i | 0.422159 | − | 0.906522i | \(-0.361272\pi\) |
−0.906522 | + | 0.422159i | \(0.861272\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −4.41651 | + | 4.41651i | −0.168746 | + | 0.168746i | ||||
\(686\) | −7.44161 | + | 26.7023i | −0.284122 | + | 1.01950i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 5.91136 | + | 1.84006i | 0.225368 | + | 0.0701516i | ||||
\(689\) | − | 6.13783i | − | 0.233833i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −24.0824 | − | 24.0824i | −0.916137 | − | 0.916137i | 0.0806084 | − | 0.996746i | \(-0.474314\pi\) |
−0.996746 | + | 0.0806084i | \(0.974314\pi\) | |||||||
\(692\) | 9.17139 | + | 37.1852i | 0.348644 | + | 1.41357i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −24.1757 | + | 13.6376i | −0.917698 | + | 0.517676i | ||||
\(695\) | − | 8.21540i | − | 0.311628i | ||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 33.4673i | 1.26767i | ||||||||
\(698\) | 18.8973 | + | 33.4998i | 0.715275 | + | 1.26799i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −8.78630 | + | 14.5394i | −0.332091 | + | 0.549536i | ||||
\(701\) | 22.8729 | + | 22.8729i | 0.863896 | + | 0.863896i | 0.991788 | − | 0.127892i | \(-0.0408212\pi\) |
−0.127892 | + | 0.991788i | \(0.540821\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 10.4544i | − | 0.394296i | ||||||
\(704\) | 31.6232 | − | 28.0417i | 1.19184 | − | 1.05686i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −16.5586 | − | 4.61468i | −0.623190 | − | 0.173676i | ||||
\(707\) | −25.3164 | + | 25.3164i | −0.952120 | + | 0.952120i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 8.29714 | + | 8.29714i | 0.311606 | + | 0.311606i | 0.845531 | − | 0.533926i | \(-0.179284\pi\) |
−0.533926 | + | 0.845531i | \(0.679284\pi\) | |||||||
\(710\) | −10.0309 | + | 5.65847i | −0.376454 | + | 0.212359i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −15.5092 | + | 14.6061i | −0.581230 | + | 0.547388i | ||||
\(713\) | −3.82437 | −0.143224 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −14.9399 | + | 14.9399i | −0.558720 | + | 0.558720i | ||||
\(716\) | −36.4239 | + | 8.98362i | −1.36122 | + | 0.335734i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 3.84929 | + | 1.07275i | 0.143654 | + | 0.0400347i | ||||
\(719\) | −4.37297 | −0.163084 | −0.0815421 | − | 0.996670i | \(-0.525985\pi\) | ||||
−0.0815421 | + | 0.996670i | \(0.525985\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.41629 | −0.0899872 | ||||||||
\(722\) | 21.1866 | + | 5.90445i | 0.788483 | + | 0.219741i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.398837 | − | 1.61707i | −0.0148226 | − | 0.0600981i | ||||
\(725\) | −4.09705 | + | 4.09705i | −0.152161 | + | 0.152161i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 11.7071 | 0.434193 | 0.217096 | − | 0.976150i | \(-0.430341\pi\) | ||||
0.217096 | + | 0.976150i | \(0.430341\pi\) | |||||||
\(728\) | 0.960533 | − | 32.0327i | 0.0355997 | − | 1.18721i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −3.01410 | + | 1.70026i | −0.111557 | + | 0.0629295i | ||||
\(731\) | 7.17628 | + | 7.17628i | 0.265424 | + | 0.265424i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 16.9853 | − | 16.9853i | 0.627367 | − | 0.627367i | −0.320038 | − | 0.947405i | \(-0.603696\pi\) |
0.947405 | + | 0.320038i | \(0.103696\pi\) | |||||||
\(734\) | −12.5465 | − | 3.49657i | −0.463100 | − | 0.129061i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.865145 | + | 4.02272i | 0.0318897 | + | 0.148280i | ||||
\(737\) | − | 63.3769i | − | 2.33452i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −7.66564 | − | 7.66564i | −0.281985 | − | 0.281985i | 0.551915 | − | 0.833900i | \(-0.313897\pi\) |
−0.833900 | + | 0.551915i | \(0.813897\pi\) | |||||||
\(740\) | −6.32289 | − | 3.82100i | −0.232434 | − | 0.140463i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1.30056 | + | 2.30553i | 0.0477450 | + | 0.0846388i | ||||
\(743\) | − | 3.54776i | − | 0.130155i | −0.997880 | − | 0.0650774i | \(-0.979271\pi\) | ||
0.997880 | − | 0.0650774i | \(-0.0207294\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | − | 11.9275i | − | 0.436992i | ||||||
\(746\) | −26.9515 | + | 15.2034i | −0.986763 | + | 0.556636i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 67.2677 | − | 16.5910i | 2.45955 | − | 0.606626i | ||||
\(749\) | −19.8321 | − | 19.8321i | −0.724650 | − | 0.724650i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 37.9479i | − | 1.38474i | −0.721543 | − | 0.692370i | \(-0.756567\pi\) | ||
0.721543 | − | 0.692370i | \(-0.243433\pi\) | |||||||
\(752\) | −12.6752 | − | 24.1326i | −0.462219 | − | 0.880027i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 2.93433 | − | 10.5291i | 0.106862 | − | 0.383447i | ||||
\(755\) | −3.13323 | + | 3.13323i | −0.114030 | + | 0.114030i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 25.8295 | + | 25.8295i | 0.938789 | + | 0.938789i | 0.998232 | − | 0.0594425i | \(-0.0189323\pi\) |
−0.0594425 | + | 0.998232i | \(0.518932\pi\) | |||||||
\(758\) | −5.99860 | − | 10.6339i | −0.217879 | − | 0.386240i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −2.50847 | + | 2.36241i | −0.0909917 | + | 0.0856936i | ||||
\(761\) | −12.7041 | −0.460523 | −0.230261 | − | 0.973129i | \(-0.573958\pi\) | ||||
−0.230261 | + | 0.973129i | \(0.573958\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 15.0839 | − | 15.0839i | 0.546073 | − | 0.546073i | ||||
\(764\) | 14.9586 | + | 9.03963i | 0.541182 | + | 0.327042i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0.633096 | − | 2.27170i | 0.0228747 | − | 0.0820799i | ||||
\(767\) | −16.1149 | −0.581875 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 0.366691 | 0.0132232 | 0.00661161 | − | 0.999978i | \(-0.497895\pi\) | ||||
0.00661161 | + | 0.999978i | \(0.497895\pi\) | |||||||
\(770\) | 2.44618 | − | 8.77747i | 0.0881541 | − | 0.316318i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 20.2528 | + | 12.2390i | 0.728913 | + | 0.440490i | ||||
\(773\) | −7.31241 | + | 7.31241i | −0.263009 | + | 0.263009i | −0.826275 | − | 0.563266i | \(-0.809545\pi\) |
0.563266 | + | 0.826275i | \(0.309545\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 24.0253 | 0.863016 | ||||||||
\(776\) | 20.2190 | − | 19.0417i | 0.725819 | − | 0.683557i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −17.9429 | − | 31.8078i | −0.643284 | − | 1.14037i | ||||
\(779\) | −6.70163 | − | 6.70163i | −0.240111 | − | 0.240111i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −46.3698 | + | 46.3698i | −1.65924 | + | 1.65924i | ||||
\(782\) | −1.81075 | + | 6.49743i | −0.0647525 | + | 0.232347i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −6.59319 | − | 12.5529i | −0.235471 | − | 0.448318i | ||||
\(785\) | 1.26546i | 0.0451661i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 15.3004 | + | 15.3004i | 0.545401 | + | 0.545401i | 0.925107 | − | 0.379706i | \(-0.123975\pi\) |
−0.379706 | + | 0.925107i | \(0.623975\pi\) | |||||||
\(788\) | 16.5933 | − | 4.09260i | 0.591113 | − | 0.145793i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.160875 | − | 0.0907502i | 0.00572369 | − | 0.00322875i | ||||
\(791\) | − | 33.6413i | − | 1.19615i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 51.6030i | 1.83248i | ||||||||
\(794\) | 7.32646 | + | 12.9878i | 0.260006 | + | 0.460920i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 20.1368 | + | 12.1689i | 0.713732 | + | 0.431316i | ||||
\(797\) | −8.26831 | − | 8.26831i | −0.292878 | − | 0.292878i | 0.545338 | − | 0.838216i | \(-0.316401\pi\) |
−0.838216 | + | 0.545338i | \(0.816401\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 44.6841i | − | 1.58081i | ||||||
\(800\) | −5.43498 | − | 25.2714i | −0.192156 | − | 0.893480i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −35.5562 | − | 9.90907i | −1.25553 | − | 0.349902i | ||||
\(803\) | −13.9332 | + | 13.9332i | −0.491694 | + | 0.491694i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.627264 | + | 0.627264i | 0.0221082 | + | 0.0221082i | ||||
\(806\) | −39.4751 | + | 22.2680i | −1.39045 | + | 0.784358i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 1.63285 | − | 54.4537i | 0.0574434 | − | 1.91567i | ||||
\(809\) | 5.41620 | 0.190424 | 0.0952118 | − | 0.995457i | \(-0.469647\pi\) | ||||
0.0952118 | + | 0.995457i | \(0.469647\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 23.5526 | − | 23.5526i | 0.827044 | − | 0.827044i | −0.160063 | − | 0.987107i | \(-0.551170\pi\) |
0.987107 | + | 0.160063i | \(0.0511697\pi\) | |||||||
\(812\) | 1.12882 | + | 4.57677i | 0.0396138 | + | 0.160613i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −40.5217 | − | 11.2929i | −1.42028 | − | 0.395816i | ||||
\(815\) | 4.41106 | 0.154513 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −2.87401 | −0.100549 | ||||||||
\(818\) | 35.9664 | + | 10.0234i | 1.25753 | + | 0.350460i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −6.50258 | + | 1.60380i | −0.227080 | + | 0.0560072i | ||||
\(821\) | 0.586621 | − | 0.586621i | 0.0204732 | − | 0.0204732i | −0.696796 | − | 0.717269i | \(-0.745392\pi\) |
0.717269 | + | 0.696796i | \(0.245392\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −42.9664 | −1.49772 | −0.748858 | − | 0.662731i | \(-0.769397\pi\) | ||||
−0.748858 | + | 0.662731i | \(0.769397\pi\) | |||||||
\(824\) | 2.67655 | − | 2.52071i | 0.0932421 | − | 0.0878130i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 6.05319 | − | 3.41462i | 0.210617 | − | 0.118810i | ||||
\(827\) | 4.76551 | + | 4.76551i | 0.165713 | + | 0.165713i | 0.785092 | − | 0.619379i | \(-0.212616\pi\) |
−0.619379 | + | 0.785092i | \(0.712616\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 18.7283 | − | 18.7283i | 0.650460 | − | 0.650460i | −0.302644 | − | 0.953104i | \(-0.597869\pi\) |
0.953104 | + | 0.302644i | \(0.0978692\pi\) | |||||||
\(830\) | 12.6062 | + | 3.51321i | 0.437569 | + | 0.121945i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 32.3530 | + | 36.4851i | 1.12164 | + | 1.26489i | ||||
\(833\) | − | 23.2430i | − | 0.805322i | ||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −8.66233 | − | 8.66233i | −0.299772 | − | 0.299772i | ||||
\(836\) | −10.1477 | + | 16.7922i | −0.350966 | + | 0.580770i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −12.2508 | − | 21.7173i | −0.423196 | − | 0.750210i | ||||
\(839\) | − | 1.97689i | − | 0.0682499i | −0.999418 | − | 0.0341249i | \(-0.989136\pi\) | ||
0.999418 | − | 0.0341249i | \(-0.0108644\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | − | 27.3922i | − | 0.944559i | ||||||
\(842\) | 28.3073 | − | 15.9683i | 0.975535 | − | 0.550303i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −9.67613 | − | 39.2316i | −0.333066 | − | 1.35041i | ||||
\(845\) | −11.2058 | − | 11.2058i | −0.385491 | − | 0.385491i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | − | 31.4363i | − | 1.08017i | ||||||
\(848\) | −3.84581 | − | 1.19711i | −0.132066 | − | 0.0411088i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 11.3755 | − | 40.8179i | 0.390175 | − | 1.40004i | ||||
\(851\) | 2.89580 | − | 2.89580i | 0.0992668 | − | 0.0992668i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 23.8260 | + | 23.8260i | 0.815787 | + | 0.815787i | 0.985495 | − | 0.169707i | \(-0.0542822\pi\) |
−0.169707 | + | 0.985495i | \(0.554282\pi\) | |||||||
\(854\) | −10.9343 | − | 19.3835i | −0.374163 | − | 0.663288i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 42.6574 | + | 1.27913i | 1.45800 | + | 0.0437196i | ||||
\(857\) | −56.6389 | −1.93475 | −0.967375 | − | 0.253350i | \(-0.918468\pi\) | ||||
−0.967375 | + | 0.253350i | \(0.918468\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 10.4303 | − | 10.4303i | 0.355877 | − | 0.355877i | −0.506414 | − | 0.862291i | \(-0.669029\pi\) |
0.862291 | + | 0.506414i | \(0.169029\pi\) | |||||||
\(860\) | −1.05043 | + | 1.73822i | −0.0358193 | + | 0.0592729i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −9.78261 | + | 35.1024i | −0.333197 | + | 1.19559i | ||||
\(863\) | −16.2869 | −0.554412 | −0.277206 | − | 0.960810i | \(-0.589408\pi\) | ||||
−0.277206 | + | 0.960810i | \(0.589408\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −12.5639 | −0.427187 | ||||||||
\(866\) | −8.16324 | + | 29.2917i | −0.277398 | + | 0.995372i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 10.1095 | − | 16.7289i | 0.343138 | − | 0.567818i | ||||
\(869\) | 0.743677 | − | 0.743677i | 0.0252275 | − | 0.0252275i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 73.1209 | 2.47761 | ||||||||
\(872\) | −0.972877 | + | 32.4443i | −0.0329458 | + | 1.09870i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.938478 | − | 1.66366i | −0.0317445 | − | 0.0562743i | ||||
\(875\) | −8.25236 | − | 8.25236i | −0.278981 | − | 0.278981i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −2.12318 | + | 2.12318i | −0.0716946 | + | 0.0716946i | −0.742045 | − | 0.670350i | \(-0.766144\pi\) |
0.670350 | + | 0.742045i | \(0.266144\pi\) | |||||||
\(878\) | 8.64435 | − | 31.0180i | 0.291733 | − | 1.04681i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 6.44713 | + | 12.2748i | 0.217333 | + | 0.413783i | ||||
\(881\) | − | 17.3923i | − | 0.585963i | −0.956118 | − | 0.292981i | \(-0.905353\pi\) | ||
0.956118 | − | 0.292981i | \(-0.0946474\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 8.04441 | + | 8.04441i | 0.270716 | + | 0.270716i | 0.829388 | − | 0.558672i | \(-0.188689\pi\) |
−0.558672 | + | 0.829388i | \(0.688689\pi\) | |||||||
\(884\) | 19.1418 | + | 77.6098i | 0.643807 | + | 2.61030i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −17.9242 | + | 10.1111i | −0.602175 | + | 0.339689i | ||||
\(887\) | − | 42.1906i | − | 1.41662i | −0.705901 | − | 0.708311i | \(-0.749458\pi\) | ||
0.705901 | − | 0.708311i | \(-0.250542\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 32.7580i | 1.09867i | ||||||||
\(890\) | −3.43373 | − | 6.08705i | −0.115099 | − | 0.204038i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 26.0758 | − | 43.1496i | 0.873082 | − | 1.44475i | ||||
\(893\) | 8.94772 | + | 8.94772i | 0.299424 | + | 0.299424i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | − | 12.3067i | − | 0.411368i | ||||||
\(896\) | −19.8836 | − | 6.84942i | −0.664263 | − | 0.228823i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 29.3154 | + | 8.16985i | 0.978267 | + | 0.272631i | ||||
\(899\) | 4.71405 | − | 4.71405i | 0.157223 | − | 0.157223i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −4.66875 | − | 4.66875i | −0.155538 | − | 0.155538i | ||||
\(902\) | −33.2149 | + | 18.7366i | −1.10594 | + | 0.623862i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 35.0952 | + | 37.2649i | 1.16725 | + | 1.23941i | ||||
\(905\) | 0.546369 | 0.0181619 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 5.05861 | − | 5.05861i | 0.167968 | − | 0.167968i | −0.618117 | − | 0.786086i | \(-0.712104\pi\) |
0.786086 | + | 0.618117i | \(0.212104\pi\) | |||||||
\(908\) | −14.5891 | + | 3.59827i | −0.484156 | + | 0.119413i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 10.1270 | + | 2.82226i | 0.335706 | + | 0.0935571i | ||||
\(911\) | 40.8990 | 1.35505 | 0.677523 | − | 0.735502i | \(-0.263054\pi\) | ||||
0.677523 | + | 0.735502i | \(0.263054\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 74.5152 | 2.46609 | ||||||||
\(914\) | 9.26136 | + | 2.58103i | 0.306339 | + | 0.0853729i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 4.13496 | + | 16.7651i | 0.136623 | + | 0.553935i | ||||
\(917\) | 0.959499 | − | 0.959499i | 0.0316854 | − | 0.0316854i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −30.9766 | −1.02182 | −0.510912 | − | 0.859633i | \(-0.670692\pi\) | ||||
−0.510912 | + | 0.859633i | \(0.670692\pi\) | |||||||
\(920\) | −1.34920 | − | 0.0404571i | −0.0444818 | − | 0.00133383i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −33.8752 | + | 19.1091i | −1.11562 | + | 0.629325i | ||||
\(923\) | −53.4990 | − | 53.4990i | −1.76094 | − | 1.76094i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −18.1919 | + | 18.1919i | −0.598146 | + | 0.598146i | ||||
\(926\) | 13.8231 | + | 3.85233i | 0.454255 | + | 0.126595i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −6.02496 | − | 3.89214i | −0.197779 | − | 0.127766i | ||||
\(929\) | − | 16.8850i | − | 0.553980i | −0.960873 | − | 0.276990i | \(-0.910663\pi\) | ||
0.960873 | − | 0.276990i | \(-0.0893368\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 4.65427 | + | 4.65427i | 0.152538 | + | 0.152538i | ||||
\(932\) | 13.7469 | + | 8.30743i | 0.450296 | + | 0.272119i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 2.67127 | + | 4.73543i | 0.0874067 | + | 0.154948i | ||||
\(935\) | 22.7281i | 0.743287i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 53.1410i | − | 1.73604i | −0.496528 | − | 0.868020i | \(-0.665392\pi\) | ||
0.496528 | − | 0.868020i | \(-0.334608\pi\) | |||||||
\(938\) | −27.4662 | + | 15.4937i | −0.896802 | + | 0.505889i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 8.68195 | − | 2.14132i | 0.283174 | − | 0.0698423i | ||||
\(941\) | 9.89314 | + | 9.89314i | 0.322507 | + | 0.322507i | 0.849728 | − | 0.527221i | \(-0.176766\pi\) |
−0.527221 | + | 0.849728i | \(0.676766\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | − | 3.71261i | − | 0.120899i | ||||||
\(944\) | −3.14301 | + | 10.0972i | −0.102296 | + | 0.328636i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −3.10453 | + | 11.1398i | −0.100937 | + | 0.362186i | ||||
\(947\) | 14.3740 | − | 14.3740i | 0.467093 | − | 0.467093i | −0.433878 | − | 0.900971i | \(-0.642855\pi\) |
0.900971 | + | 0.433878i | \(0.142855\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −16.0754 | − | 16.0754i | −0.521830 | − | 0.521830i | ||||
\(950\) | 5.89568 | + | 10.4514i | 0.191281 | + | 0.339089i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −23.6351 | − | 25.0963i | −0.766017 | − | 0.813377i | ||||
\(953\) | −5.12058 | −0.165872 | −0.0829360 | − | 0.996555i | \(-0.526430\pi\) | ||||
−0.0829360 | + | 0.996555i | \(0.526430\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −4.05419 | + | 4.05419i | −0.131191 | + | 0.131191i | ||||
\(956\) | −28.1594 | − | 17.0170i | −0.910739 | − | 0.550370i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −0.829852 | + | 2.97771i | −0.0268113 | + | 0.0962054i | ||||
\(959\) | 17.6958 | 0.571427 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 3.35651 | 0.108275 | ||||||||
\(962\) | 13.0291 | − | 46.7517i | 0.420077 | − | 1.50734i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −5.49732 | − | 3.32209i | −0.177057 | − | 0.106997i | ||||
\(965\) | −5.48907 | + | 5.48907i | −0.176699 | + | 0.176699i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −52.7411 | −1.69604 | −0.848019 | − | 0.529965i | \(-0.822205\pi\) | ||||
−0.848019 | + | 0.529965i | \(0.822205\pi\) | |||||||
\(968\) | 32.7949 | + | 34.8224i | 1.05407 | + | 1.11924i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 4.47648 | + | 7.93557i | 0.143731 | + | 0.254796i | ||||
\(971\) | −22.7551 | − | 22.7551i | −0.730246 | − | 0.730246i | 0.240423 | − | 0.970668i | \(-0.422714\pi\) |
−0.970668 | + | 0.240423i | \(0.922714\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −16.4585 | + | 16.4585i | −0.527635 | + | 0.527635i | ||||
\(974\) | −2.29297 | + | 8.22771i | −0.0734714 | + | 0.263633i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 32.3331 | + | 10.0645i | 1.03496 | + | 0.322157i | ||||
\(977\) | − | 16.3452i | − | 0.522929i | −0.965213 | − | 0.261465i | \(-0.915795\pi\) | ||
0.965213 | − | 0.261465i | \(-0.0842055\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −28.1386 | − | 28.1386i | −0.899312 | − | 0.899312i | ||||
\(980\) | 4.51602 | − | 1.11384i | 0.144259 | − | 0.0355802i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 26.8950 | − | 15.1716i | 0.858255 | − | 0.484144i | ||||
\(983\) | 6.62052i | 0.211162i | 0.994411 | + | 0.105581i | \(0.0336702\pi\) | ||||
−0.994411 | + | 0.105581i | \(0.966330\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 5.60647i | 0.178637i | ||||||||
\(986\) | −5.77696 | − | 10.2410i | −0.183976 | − | 0.326138i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −19.3739 | − | 11.7079i | −0.616367 | − | 0.372477i | ||||
\(989\) | −0.796082 | − | 0.796082i | −0.0253139 | − | 0.0253139i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 41.3701i | 1.31417i | 0.753818 | + | 0.657083i | \(0.228210\pi\) | ||||
−0.753818 | + | 0.657083i | \(0.771790\pi\) | |||||||
\(992\) | 6.25348 | + | 29.0772i | 0.198548 | + | 0.923203i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 31.4317 | + | 8.75963i | 0.996952 | + | 0.277839i | ||||
\(995\) | −5.45765 | + | 5.45765i | −0.173019 | + | 0.173019i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 1.44258 | + | 1.44258i | 0.0456871 | + | 0.0456871i | 0.729581 | − | 0.683894i | \(-0.239715\pi\) |
−0.683894 | + | 0.729581i | \(0.739715\pi\) | |||||||
\(998\) | 16.8519 | − | 9.50623i | 0.533439 | − | 0.300914i | ||||
\(999\) | 0 | 0 |
(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 | 432.2.l.b.107.7 | ✓ | 32 | |
3.2 | odd | 2 | inner | 432.2.l.b.107.10 | yes | 32 | |
4.3 | odd | 2 | 1728.2.l.b.1295.10 | 32 | |||
12.11 | even | 2 | 1728.2.l.b.1295.7 | 32 | |||
16.3 | odd | 4 | inner | 432.2.l.b.323.10 | yes | 32 | |
16.13 | even | 4 | 1728.2.l.b.431.7 | 32 | |||
48.29 | odd | 4 | 1728.2.l.b.431.10 | 32 | |||
48.35 | even | 4 | inner | 432.2.l.b.323.7 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
432.2.l.b.107.7 | ✓ | 32 | 1.1 | even | 1 | trivial | |
432.2.l.b.107.10 | yes | 32 | 3.2 | odd | 2 | inner | |
432.2.l.b.323.7 | yes | 32 | 48.35 | even | 4 | inner | |
432.2.l.b.323.10 | yes | 32 | 16.3 | odd | 4 | inner | |
1728.2.l.b.431.7 | 32 | 16.13 | even | 4 | |||
1728.2.l.b.431.10 | 32 | 48.29 | odd | 4 | |||
1728.2.l.b.1295.7 | 32 | 12.11 | even | 2 | |||
1728.2.l.b.1295.10 | 32 | 4.3 | odd | 2 |