Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(251,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 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("280.251");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.h (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - x^{15} - 2x^{12} + 6x^{11} - 12x^{9} + 8x^{8} - 24x^{7} + 48x^{5} - 32x^{4} - 128x + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 251.8 | ||
Root | \(-0.275585 - 1.38710i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 280.251 |
Dual form | 280.2.h.b.251.7 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.275585 | + | 1.38710i | −0.194868 | + | 0.980830i | ||||
\(3\) | 3.19977i | 1.84739i | 0.383133 | + | 0.923693i | \(0.374845\pi\) | ||||
−0.383133 | + | 0.923693i | \(0.625155\pi\) | |||||||
\(4\) | −1.84811 | − | 0.764529i | −0.924053 | − | 0.382264i | ||||
\(5\) | 1.00000 | 0.447214 | ||||||||
\(6\) | −4.43840 | − | 0.881807i | −1.81197 | − | 0.359996i | ||||
\(7\) | −2.59303 | − | 0.525543i | −0.980073 | − | 0.198637i | ||||
\(8\) | 1.56979 | − | 2.35282i | 0.555004 | − | 0.831847i | ||||
\(9\) | −7.23851 | −2.41284 | ||||||||
\(10\) | −0.275585 | + | 1.38710i | −0.0871476 | + | 0.438640i | ||||
\(11\) | −3.34588 | −1.00882 | −0.504411 | − | 0.863464i | \(-0.668290\pi\) | ||||
−0.504411 | + | 0.863464i | \(0.668290\pi\) | |||||||
\(12\) | 2.44631 | − | 5.91351i | 0.706190 | − | 1.70708i | ||||
\(13\) | 3.90251 | 1.08236 | 0.541181 | − | 0.840906i | \(-0.317977\pi\) | ||||
0.541181 | + | 0.840906i | \(0.317977\pi\) | |||||||
\(14\) | 1.44358 | − | 3.45197i | 0.385813 | − | 0.922577i | ||||
\(15\) | 3.19977i | 0.826176i | ||||||||
\(16\) | 2.83099 | + | 2.82586i | 0.707748 | + | 0.706465i | ||||
\(17\) | 2.92992i | 0.710611i | 0.934750 | + | 0.355306i | \(0.115623\pi\) | ||||
−0.934750 | + | 0.355306i | \(0.884377\pi\) | |||||||
\(18\) | 1.99482 | − | 10.0406i | 0.470184 | − | 2.36658i | ||||
\(19\) | 6.33672i | 1.45374i | 0.686774 | + | 0.726871i | \(0.259026\pi\) | ||||
−0.686774 | + | 0.726871i | \(0.740974\pi\) | |||||||
\(20\) | −1.84811 | − | 0.764529i | −0.413249 | − | 0.170954i | ||||
\(21\) | 1.68161 | − | 8.29709i | 0.366958 | − | 1.81057i | ||||
\(22\) | 0.922074 | − | 4.64108i | 0.196587 | − | 0.989481i | ||||
\(23\) | 3.44642i | 0.718629i | 0.933216 | + | 0.359315i | \(0.116990\pi\) | ||||
−0.933216 | + | 0.359315i | \(0.883010\pi\) | |||||||
\(24\) | 7.52847 | + | 5.02296i | 1.53674 | + | 1.02531i | ||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | −1.07547 | + | 5.41319i | −0.210918 | + | 1.06161i | ||||
\(27\) | − | 13.5622i | − | 2.61005i | ||||||
\(28\) | 4.39040 | + | 2.95370i | 0.829708 | + | 0.558198i | ||||
\(29\) | − | 2.68130i | − | 0.497905i | −0.968516 | − | 0.248952i | \(-0.919914\pi\) | ||
0.968516 | − | 0.248952i | \(-0.0800863\pi\) | |||||||
\(30\) | −4.43840 | − | 0.881807i | −0.810338 | − | 0.160995i | ||||
\(31\) | −2.52241 | −0.453037 | −0.226519 | − | 0.974007i | \(-0.572734\pi\) | ||||
−0.226519 | + | 0.974007i | \(0.572734\pi\) | |||||||
\(32\) | −4.69994 | + | 3.14811i | −0.830839 | + | 0.556513i | ||||
\(33\) | − | 10.7060i | − | 1.86368i | ||||||
\(34\) | −4.06411 | − | 0.807443i | −0.696988 | − | 0.138475i | ||||
\(35\) | −2.59303 | − | 0.525543i | −0.438302 | − | 0.0888330i | ||||
\(36\) | 13.3775 | + | 5.53405i | 2.22959 | + | 0.922341i | ||||
\(37\) | − | 4.70905i | − | 0.774164i | −0.922045 | − | 0.387082i | \(-0.873483\pi\) | ||
0.922045 | − | 0.387082i | \(-0.126517\pi\) | |||||||
\(38\) | −8.78968 | − | 1.74630i | −1.42587 | − | 0.283288i | ||||
\(39\) | 12.4871i | 1.99954i | ||||||||
\(40\) | 1.56979 | − | 2.35282i | 0.248206 | − | 0.372013i | ||||
\(41\) | 5.59232i | 0.873374i | 0.899614 | + | 0.436687i | \(0.143848\pi\) | ||||
−0.899614 | + | 0.436687i | \(0.856152\pi\) | |||||||
\(42\) | 11.0455 | + | 4.61912i | 1.70436 | + | 0.712746i | ||||
\(43\) | 8.62439 | 1.31521 | 0.657604 | − | 0.753364i | \(-0.271570\pi\) | ||||
0.657604 | + | 0.753364i | \(0.271570\pi\) | |||||||
\(44\) | 6.18354 | + | 2.55802i | 0.932204 | + | 0.385636i | ||||
\(45\) | −7.23851 | −1.07905 | ||||||||
\(46\) | −4.78054 | − | 0.949782i | −0.704853 | − | 0.140038i | ||||
\(47\) | −0.506742 | −0.0739159 | −0.0369580 | − | 0.999317i | \(-0.511767\pi\) | ||||
−0.0369580 | + | 0.999317i | \(0.511767\pi\) | |||||||
\(48\) | −9.04209 | + | 9.05851i | −1.30511 | + | 1.30748i | ||||
\(49\) | 6.44761 | + | 2.72550i | 0.921087 | + | 0.389357i | ||||
\(50\) | −0.275585 | + | 1.38710i | −0.0389736 | + | 0.196166i | ||||
\(51\) | −9.37508 | −1.31277 | ||||||||
\(52\) | −7.21226 | − | 2.98358i | −1.00016 | − | 0.413749i | ||||
\(53\) | 11.4136i | 1.56777i | 0.620904 | + | 0.783886i | \(0.286765\pi\) | ||||
−0.620904 | + | 0.783886i | \(0.713235\pi\) | |||||||
\(54\) | 18.8122 | + | 3.73755i | 2.56002 | + | 0.508616i | ||||
\(55\) | −3.34588 | −0.451159 | ||||||||
\(56\) | −5.30702 | + | 5.27594i | −0.709180 | + | 0.705027i | ||||
\(57\) | −20.2760 | −2.68562 | ||||||||
\(58\) | 3.71924 | + | 0.738926i | 0.488360 | + | 0.0970257i | ||||
\(59\) | − | 0.802275i | − | 0.104447i | −0.998635 | − | 0.0522236i | \(-0.983369\pi\) | ||
0.998635 | − | 0.0522236i | \(-0.0166309\pi\) | |||||||
\(60\) | 2.44631 | − | 5.91351i | 0.315818 | − | 0.763431i | ||||
\(61\) | −7.97236 | −1.02076 | −0.510378 | − | 0.859950i | \(-0.670494\pi\) | ||||
−0.510378 | + | 0.859950i | \(0.670494\pi\) | |||||||
\(62\) | 0.695136 | − | 3.49883i | 0.0882824 | − | 0.444352i | ||||
\(63\) | 18.7697 | + | 3.80415i | 2.36476 | + | 0.479277i | ||||
\(64\) | −3.07152 | − | 7.38686i | −0.383940 | − | 0.923358i | ||||
\(65\) | 3.90251 | 0.484047 | ||||||||
\(66\) | 14.8504 | + | 2.95042i | 1.82795 | + | 0.363172i | ||||
\(67\) | 6.37503 | 0.778834 | 0.389417 | − | 0.921062i | \(-0.372677\pi\) | ||||
0.389417 | + | 0.921062i | \(0.372677\pi\) | |||||||
\(68\) | 2.24001 | − | 5.41481i | 0.271641 | − | 0.656642i | ||||
\(69\) | −11.0278 | −1.32759 | ||||||||
\(70\) | 1.44358 | − | 3.45197i | 0.172541 | − | 0.412589i | ||||
\(71\) | 1.11901i | 0.132802i | 0.997793 | + | 0.0664011i | \(0.0211517\pi\) | ||||
−0.997793 | + | 0.0664011i | \(0.978848\pi\) | |||||||
\(72\) | −11.3629 | + | 17.0309i | −1.33913 | + | 2.00711i | ||||
\(73\) | 5.91619i | 0.692438i | 0.938154 | + | 0.346219i | \(0.112535\pi\) | ||||
−0.938154 | + | 0.346219i | \(0.887465\pi\) | |||||||
\(74\) | 6.53194 | + | 1.29774i | 0.759323 | + | 0.150860i | ||||
\(75\) | 3.19977i | 0.369477i | ||||||||
\(76\) | 4.84460 | − | 11.7109i | 0.555714 | − | 1.34334i | ||||
\(77\) | 8.67597 | + | 1.75840i | 0.988719 | + | 0.200389i | ||||
\(78\) | −17.3209 | − | 3.44126i | −1.96121 | − | 0.389646i | ||||
\(79\) | − | 10.5412i | − | 1.18598i | −0.805211 | − | 0.592989i | \(-0.797948\pi\) | ||
0.805211 | − | 0.592989i | \(-0.202052\pi\) | |||||||
\(80\) | 2.83099 | + | 2.82586i | 0.316515 | + | 0.315941i | ||||
\(81\) | 21.6805 | 2.40894 | ||||||||
\(82\) | −7.75712 | − | 1.54116i | −0.856631 | − | 0.170192i | ||||
\(83\) | 4.29261i | 0.471175i | 0.971853 | + | 0.235588i | \(0.0757014\pi\) | ||||
−0.971853 | + | 0.235588i | \(0.924299\pi\) | |||||||
\(84\) | −9.45117 | + | 14.0483i | −1.03121 | + | 1.53279i | ||||
\(85\) | 2.92992i | 0.317795i | ||||||||
\(86\) | −2.37675 | + | 11.9629i | −0.256292 | + | 1.28999i | ||||
\(87\) | 8.57954 | 0.919823 | ||||||||
\(88\) | −5.25233 | + | 7.87226i | −0.559900 | + | 0.839185i | ||||
\(89\) | 2.00722i | 0.212764i | 0.994325 | + | 0.106382i | \(0.0339267\pi\) | ||||
−0.994325 | + | 0.106382i | \(0.966073\pi\) | |||||||
\(90\) | 1.99482 | − | 10.0406i | 0.210273 | − | 1.05837i | ||||
\(91\) | −10.1193 | − | 2.05094i | −1.06079 | − | 0.214997i | ||||
\(92\) | 2.63489 | − | 6.36936i | 0.274706 | − | 0.664052i | ||||
\(93\) | − | 8.07111i | − | 0.836935i | ||||||
\(94\) | 0.139650 | − | 0.702903i | 0.0144038 | − | 0.0724989i | ||||
\(95\) | 6.33672i | 0.650134i | ||||||||
\(96\) | −10.0732 | − | 15.0387i | −1.02809 | − | 1.53488i | ||||
\(97\) | − | 6.06903i | − | 0.616217i | −0.951351 | − | 0.308108i | \(-0.900304\pi\) | ||
0.951351 | − | 0.308108i | \(-0.0996959\pi\) | |||||||
\(98\) | −5.55741 | + | 8.19239i | −0.561383 | + | 0.827556i | ||||
\(99\) | 24.2192 | 2.43412 | ||||||||
\(100\) | −1.84811 | − | 0.764529i | −0.184811 | − | 0.0764529i | ||||
\(101\) | 11.2324 | 1.11767 | 0.558834 | − | 0.829279i | \(-0.311249\pi\) | ||||
0.558834 | + | 0.829279i | \(0.311249\pi\) | |||||||
\(102\) | 2.58363 | − | 13.0042i | 0.255817 | − | 1.28761i | ||||
\(103\) | 0.403587 | 0.0397667 | 0.0198833 | − | 0.999802i | \(-0.493671\pi\) | ||||
0.0198833 | + | 0.999802i | \(0.493671\pi\) | |||||||
\(104\) | 6.12613 | − | 9.18191i | 0.600716 | − | 0.900361i | ||||
\(105\) | 1.68161 | − | 8.29709i | 0.164109 | − | 0.809713i | ||||
\(106\) | −15.8318 | − | 3.14540i | −1.53772 | − | 0.305508i | ||||
\(107\) | 17.9070 | 1.73114 | 0.865568 | − | 0.500791i | \(-0.166957\pi\) | ||||
0.865568 | + | 0.500791i | \(0.166957\pi\) | |||||||
\(108\) | −10.3687 | + | 25.0645i | −0.997730 | + | 2.41183i | ||||
\(109\) | − | 14.4062i | − | 1.37986i | −0.723874 | − | 0.689932i | \(-0.757641\pi\) | ||
0.723874 | − | 0.689932i | \(-0.242359\pi\) | |||||||
\(110\) | 0.922074 | − | 4.64108i | 0.0879163 | − | 0.442510i | ||||
\(111\) | 15.0679 | 1.43018 | ||||||||
\(112\) | −5.85574 | − | 8.81535i | −0.553315 | − | 0.832972i | ||||
\(113\) | −6.85909 | −0.645249 | −0.322625 | − | 0.946527i | \(-0.604565\pi\) | ||||
−0.322625 | + | 0.946527i | \(0.604565\pi\) | |||||||
\(114\) | 5.58776 | − | 28.1249i | 0.523342 | − | 2.63414i | ||||
\(115\) | 3.44642i | 0.321381i | ||||||||
\(116\) | −2.04993 | + | 4.95533i | −0.190331 | + | 0.460091i | ||||
\(117\) | −28.2484 | −2.61156 | ||||||||
\(118\) | 1.11284 | + | 0.221095i | 0.102445 | + | 0.0203534i | ||||
\(119\) | 1.53980 | − | 7.59738i | 0.141153 | − | 0.696451i | ||||
\(120\) | 7.52847 | + | 5.02296i | 0.687253 | + | 0.458531i | ||||
\(121\) | 0.194920 | 0.0177200 | ||||||||
\(122\) | 2.19706 | − | 11.0585i | 0.198913 | − | 1.00119i | ||||
\(123\) | −17.8941 | −1.61346 | ||||||||
\(124\) | 4.66167 | + | 1.92845i | 0.418630 | + | 0.173180i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | −10.4494 | + | 24.9871i | −0.930904 | + | 2.22603i | ||||
\(127\) | 5.87400i | 0.521233i | 0.965442 | + | 0.260617i | \(0.0839259\pi\) | ||||
−0.965442 | + | 0.260617i | \(0.916074\pi\) | |||||||
\(128\) | 11.0928 | − | 2.22481i | 0.980474 | − | 0.196647i | ||||
\(129\) | 27.5960i | 2.42970i | ||||||||
\(130\) | −1.07547 | + | 5.41319i | −0.0943253 | + | 0.474768i | ||||
\(131\) | 4.47680i | 0.391139i | 0.980690 | + | 0.195570i | \(0.0626556\pi\) | ||||
−0.980690 | + | 0.195570i | \(0.937344\pi\) | |||||||
\(132\) | −8.18507 | + | 19.7859i | −0.712419 | + | 1.72214i | ||||
\(133\) | 3.33022 | − | 16.4313i | 0.288767 | − | 1.42477i | ||||
\(134\) | −1.75686 | + | 8.84282i | −0.151770 | + | 0.763903i | ||||
\(135\) | − | 13.5622i | − | 1.16725i | ||||||
\(136\) | 6.89358 | + | 4.59936i | 0.591120 | + | 0.394392i | ||||
\(137\) | 7.90390 | 0.675276 | 0.337638 | − | 0.941276i | \(-0.390372\pi\) | ||||
0.337638 | + | 0.941276i | \(0.390372\pi\) | |||||||
\(138\) | 3.03908 | − | 15.2966i | 0.258704 | − | 1.30214i | ||||
\(139\) | − | 9.80123i | − | 0.831329i | −0.909518 | − | 0.415665i | \(-0.863549\pi\) | ||
0.909518 | − | 0.415665i | \(-0.136451\pi\) | |||||||
\(140\) | 4.39040 | + | 2.95370i | 0.371057 | + | 0.249634i | ||||
\(141\) | − | 1.62146i | − | 0.136551i | ||||||
\(142\) | −1.55218 | − | 0.308382i | −0.130256 | − | 0.0258789i | ||||
\(143\) | −13.0573 | −1.09191 | ||||||||
\(144\) | −20.4922 | − | 20.4550i | −1.70768 | − | 1.70458i | ||||
\(145\) | − | 2.68130i | − | 0.222670i | ||||||
\(146\) | −8.20636 | − | 1.63041i | −0.679164 | − | 0.134934i | ||||
\(147\) | −8.72096 | + | 20.6308i | −0.719292 | + | 1.70160i | ||||
\(148\) | −3.60021 | + | 8.70283i | −0.295935 | + | 0.715368i | ||||
\(149\) | 11.5613i | 0.947135i | 0.880758 | + | 0.473567i | \(0.157034\pi\) | ||||
−0.880758 | + | 0.473567i | \(0.842966\pi\) | |||||||
\(150\) | −4.43840 | − | 0.881807i | −0.362394 | − | 0.0719992i | ||||
\(151\) | 0.509248i | 0.0414420i | 0.999785 | + | 0.0207210i | \(0.00659617\pi\) | ||||
−0.999785 | + | 0.0207210i | \(0.993404\pi\) | |||||||
\(152\) | 14.9092 | + | 9.94731i | 1.20929 | + | 0.806834i | ||||
\(153\) | − | 21.2083i | − | 1.71459i | ||||||
\(154\) | −4.83005 | + | 11.5499i | −0.389217 | + | 0.930715i | ||||
\(155\) | −2.52241 | −0.202604 | ||||||||
\(156\) | 9.54677 | − | 23.0776i | 0.764354 | − | 1.84768i | ||||
\(157\) | 9.98993 | 0.797283 | 0.398642 | − | 0.917107i | \(-0.369482\pi\) | ||||
0.398642 | + | 0.917107i | \(0.369482\pi\) | |||||||
\(158\) | 14.6217 | + | 2.90500i | 1.16324 | + | 0.231109i | ||||
\(159\) | −36.5207 | −2.89628 | ||||||||
\(160\) | −4.69994 | + | 3.14811i | −0.371563 | + | 0.248880i | ||||
\(161\) | 1.81124 | − | 8.93668i | 0.142746 | − | 0.704309i | ||||
\(162\) | −5.97481 | + | 30.0730i | −0.469425 | + | 2.36276i | ||||
\(163\) | 19.7736 | 1.54879 | 0.774393 | − | 0.632705i | \(-0.218056\pi\) | ||||
0.774393 | + | 0.632705i | \(0.218056\pi\) | |||||||
\(164\) | 4.27549 | − | 10.3352i | 0.333860 | − | 0.807044i | ||||
\(165\) | − | 10.7060i | − | 0.833464i | ||||||
\(166\) | −5.95429 | − | 1.18298i | −0.462142 | − | 0.0918169i | ||||
\(167\) | −20.6423 | −1.59735 | −0.798673 | − | 0.601765i | \(-0.794464\pi\) | ||||
−0.798673 | + | 0.601765i | \(0.794464\pi\) | |||||||
\(168\) | −16.8818 | − | 16.9812i | −1.30246 | − | 1.31013i | ||||
\(169\) | 2.22962 | 0.171509 | ||||||||
\(170\) | −4.06411 | − | 0.807443i | −0.311703 | − | 0.0619280i | ||||
\(171\) | − | 45.8684i | − | 3.50764i | ||||||
\(172\) | −15.9388 | − | 6.59360i | −1.21532 | − | 0.502757i | ||||
\(173\) | 12.1166 | 0.921205 | 0.460602 | − | 0.887607i | \(-0.347633\pi\) | ||||
0.460602 | + | 0.887607i | \(0.347633\pi\) | |||||||
\(174\) | −2.36439 | + | 11.9007i | −0.179244 | + | 0.902189i | ||||
\(175\) | −2.59303 | − | 0.525543i | −0.196015 | − | 0.0397273i | ||||
\(176\) | −9.47216 | − | 9.45499i | −0.713991 | − | 0.712697i | ||||
\(177\) | 2.56709 | 0.192954 | ||||||||
\(178\) | −2.78421 | − | 0.553158i | −0.208686 | − | 0.0414610i | ||||
\(179\) | −14.6327 | −1.09370 | −0.546851 | − | 0.837230i | \(-0.684173\pi\) | ||||
−0.546851 | + | 0.837230i | \(0.684173\pi\) | |||||||
\(180\) | 13.3775 | + | 5.53405i | 0.997102 | + | 0.412483i | ||||
\(181\) | 23.1384 | 1.71986 | 0.859932 | − | 0.510408i | \(-0.170506\pi\) | ||||
0.859932 | + | 0.510408i | \(0.170506\pi\) | |||||||
\(182\) | 5.63360 | − | 13.4713i | 0.417590 | − | 0.998563i | ||||
\(183\) | − | 25.5097i | − | 1.88573i | ||||||
\(184\) | 8.10882 | + | 5.41016i | 0.597790 | + | 0.398842i | ||||
\(185\) | − | 4.70905i | − | 0.346217i | ||||||
\(186\) | 11.1955 | + | 2.22427i | 0.820890 | + | 0.163092i | ||||
\(187\) | − | 9.80318i | − | 0.716879i | ||||||
\(188\) | 0.936513 | + | 0.387419i | 0.0683022 | + | 0.0282554i | ||||
\(189\) | −7.12754 | + | 35.1673i | −0.518452 | + | 2.55804i | ||||
\(190\) | −8.78968 | − | 1.74630i | −0.637670 | − | 0.126690i | ||||
\(191\) | − | 2.41554i | − | 0.174782i | −0.996174 | − | 0.0873911i | \(-0.972147\pi\) | ||
0.996174 | − | 0.0873911i | \(-0.0278530\pi\) | |||||||
\(192\) | 23.6362 | − | 9.82816i | 1.70580 | − | 0.709286i | ||||
\(193\) | −7.38549 | −0.531619 | −0.265810 | − | 0.964026i | \(-0.585639\pi\) | ||||
−0.265810 | + | 0.964026i | \(0.585639\pi\) | |||||||
\(194\) | 8.41837 | + | 1.67253i | 0.604403 | + | 0.120081i | ||||
\(195\) | 12.4871i | 0.894222i | ||||||||
\(196\) | −9.83214 | − | 9.96639i | −0.702296 | − | 0.711885i | ||||
\(197\) | 20.9305i | 1.49124i | 0.666372 | + | 0.745619i | \(0.267846\pi\) | ||||
−0.666372 | + | 0.745619i | \(0.732154\pi\) | |||||||
\(198\) | −6.67444 | + | 33.5945i | −0.474332 | + | 2.38746i | ||||
\(199\) | −4.89644 | −0.347099 | −0.173550 | − | 0.984825i | \(-0.555524\pi\) | ||||
−0.173550 | + | 0.984825i | \(0.555524\pi\) | |||||||
\(200\) | 1.56979 | − | 2.35282i | 0.111001 | − | 0.166369i | ||||
\(201\) | 20.3986i | 1.43881i | ||||||||
\(202\) | −3.09549 | + | 15.5805i | −0.217798 | + | 1.09624i | ||||
\(203\) | −1.40914 | + | 6.95269i | −0.0989021 | + | 0.487983i | ||||
\(204\) | 17.3261 | + | 7.16751i | 1.21307 | + | 0.501826i | ||||
\(205\) | 5.59232i | 0.390585i | ||||||||
\(206\) | −0.111223 | + | 0.559817i | −0.00774924 | + | 0.0390043i | ||||
\(207\) | − | 24.9470i | − | 1.73393i | ||||||
\(208\) | 11.0480 | + | 11.0280i | 0.766040 | + | 0.764651i | ||||
\(209\) | − | 21.2019i | − | 1.46657i | ||||||
\(210\) | 11.0455 | + | 4.61912i | 0.762211 | + | 0.318750i | ||||
\(211\) | 2.25447 | 0.155204 | 0.0776020 | − | 0.996984i | \(-0.475274\pi\) | ||||
0.0776020 | + | 0.996984i | \(0.475274\pi\) | |||||||
\(212\) | 8.72599 | − | 21.0935i | 0.599303 | − | 1.44870i | ||||
\(213\) | −3.58058 | −0.245337 | ||||||||
\(214\) | −4.93490 | + | 24.8389i | −0.337343 | + | 1.69795i | ||||
\(215\) | 8.62439 | 0.588179 | ||||||||
\(216\) | −31.9095 | − | 21.2899i | −2.17117 | − | 1.44859i | ||||
\(217\) | 6.54067 | + | 1.32563i | 0.444010 | + | 0.0899898i | ||||
\(218\) | 19.9829 | + | 3.97013i | 1.35341 | + | 0.268891i | ||||
\(219\) | −18.9304 | −1.27920 | ||||||||
\(220\) | 6.18354 | + | 2.55802i | 0.416894 | + | 0.172462i | ||||
\(221\) | 11.4341i | 0.769139i | ||||||||
\(222\) | −4.15248 | + | 20.9007i | −0.278696 | + | 1.40276i | ||||
\(223\) | 24.4820 | 1.63944 | 0.819718 | − | 0.572768i | \(-0.194130\pi\) | ||||
0.819718 | + | 0.572768i | \(0.194130\pi\) | |||||||
\(224\) | 13.8415 | − | 5.69313i | 0.924827 | − | 0.380388i | ||||
\(225\) | −7.23851 | −0.482567 | ||||||||
\(226\) | 1.89026 | − | 9.51426i | 0.125738 | − | 0.632879i | ||||
\(227\) | − | 5.16178i | − | 0.342599i | −0.985219 | − | 0.171300i | \(-0.945203\pi\) | ||
0.985219 | − | 0.171300i | \(-0.0547966\pi\) | |||||||
\(228\) | 37.4722 | + | 15.5016i | 2.48166 | + | 1.02662i | ||||
\(229\) | 9.48995 | 0.627114 | 0.313557 | − | 0.949569i | \(-0.398479\pi\) | ||||
0.313557 | + | 0.949569i | \(0.398479\pi\) | |||||||
\(230\) | −4.78054 | − | 0.949782i | −0.315220 | − | 0.0626268i | ||||
\(231\) | −5.62648 | + | 27.7611i | −0.370195 | + | 1.82655i | ||||
\(232\) | −6.30862 | − | 4.20908i | −0.414181 | − | 0.276339i | ||||
\(233\) | −2.55217 | −0.167198 | −0.0835991 | − | 0.996499i | \(-0.526642\pi\) | ||||
−0.0835991 | + | 0.996499i | \(0.526642\pi\) | |||||||
\(234\) | 7.78482 | − | 39.1834i | 0.508910 | − | 2.56150i | ||||
\(235\) | −0.506742 | −0.0330562 | ||||||||
\(236\) | −0.613362 | + | 1.48269i | −0.0399265 | + | 0.0965148i | ||||
\(237\) | 33.7294 | 2.19096 | ||||||||
\(238\) | 10.1140 | + | 4.22958i | 0.655593 | + | 0.274163i | ||||
\(239\) | 8.15573i | 0.527550i | 0.964584 | + | 0.263775i | \(0.0849677\pi\) | ||||
−0.964584 | + | 0.263775i | \(0.915032\pi\) | |||||||
\(240\) | −9.04209 | + | 9.05851i | −0.583665 | + | 0.584725i | ||||
\(241\) | − | 2.66753i | − | 0.171831i | −0.996302 | − | 0.0859155i | \(-0.972619\pi\) | ||
0.996302 | − | 0.0859155i | \(-0.0273815\pi\) | |||||||
\(242\) | −0.0537170 | + | 0.270374i | −0.00345306 | + | 0.0173803i | ||||
\(243\) | 28.6857i | 1.84019i | ||||||||
\(244\) | 14.7338 | + | 6.09510i | 0.943233 | + | 0.390199i | ||||
\(245\) | 6.44761 | + | 2.72550i | 0.411923 | + | 0.174126i | ||||
\(246\) | 4.93135 | − | 24.8210i | 0.314411 | − | 1.58253i | ||||
\(247\) | 24.7291i | 1.57348i | ||||||||
\(248\) | −3.95964 | + | 5.93476i | −0.251438 | + | 0.376858i | ||||
\(249\) | −13.7353 | −0.870442 | ||||||||
\(250\) | −0.275585 | + | 1.38710i | −0.0174295 | + | 0.0877281i | ||||
\(251\) | 8.52244i | 0.537932i | 0.963150 | + | 0.268966i | \(0.0866819\pi\) | ||||
−0.963150 | + | 0.268966i | \(0.913318\pi\) | |||||||
\(252\) | −31.7800 | − | 21.3804i | −2.00195 | − | 1.34684i | ||||
\(253\) | − | 11.5313i | − | 0.724968i | ||||||
\(254\) | −8.14784 | − | 1.61879i | −0.511241 | − | 0.101572i | ||||
\(255\) | −9.37508 | −0.587090 | ||||||||
\(256\) | 0.0290305 | + | 16.0000i | 0.00181440 | + | 0.999998i | ||||
\(257\) | 14.1473i | 0.882487i | 0.897387 | + | 0.441244i | \(0.145462\pi\) | ||||
−0.897387 | + | 0.441244i | \(0.854538\pi\) | |||||||
\(258\) | −38.2785 | − | 7.60505i | −2.38312 | − | 0.473470i | ||||
\(259\) | −2.47481 | + | 12.2107i | −0.153777 | + | 0.758737i | ||||
\(260\) | −7.21226 | − | 2.98358i | −0.447285 | − | 0.185034i | ||||
\(261\) | 19.4086i | 1.20136i | ||||||||
\(262\) | −6.20977 | − | 1.23374i | −0.383641 | − | 0.0762205i | ||||
\(263\) | − | 31.1418i | − | 1.92029i | −0.279510 | − | 0.960143i | \(-0.590172\pi\) | ||
0.279510 | − | 0.960143i | \(-0.409828\pi\) | |||||||
\(264\) | −25.1894 | − | 16.8062i | −1.55030 | − | 1.03435i | ||||
\(265\) | 11.4136i | 0.701129i | ||||||||
\(266\) | 21.8741 | + | 9.14757i | 1.34119 | + | 0.560874i | ||||
\(267\) | −6.42262 | −0.393058 | ||||||||
\(268\) | −11.7817 | − | 4.87389i | −0.719684 | − | 0.297720i | ||||
\(269\) | −1.39567 | −0.0850956 | −0.0425478 | − | 0.999094i | \(-0.513547\pi\) | ||||
−0.0425478 | + | 0.999094i | \(0.513547\pi\) | |||||||
\(270\) | 18.8122 | + | 3.73755i | 1.14487 | + | 0.227460i | ||||
\(271\) | −22.4663 | −1.36473 | −0.682366 | − | 0.731011i | \(-0.739049\pi\) | ||||
−0.682366 | + | 0.731011i | \(0.739049\pi\) | |||||||
\(272\) | −8.27956 | + | 8.29459i | −0.502022 | + | 0.502934i | ||||
\(273\) | 6.56253 | − | 32.3795i | 0.397182 | − | 1.95970i | ||||
\(274\) | −2.17820 | + | 10.9635i | −0.131590 | + | 0.662331i | ||||
\(275\) | −3.34588 | −0.201764 | ||||||||
\(276\) | 20.3805 | + | 8.43103i | 1.22676 | + | 0.507489i | ||||
\(277\) | − | 12.0828i | − | 0.725985i | −0.931792 | − | 0.362993i | \(-0.881755\pi\) | ||
0.931792 | − | 0.362993i | \(-0.118245\pi\) | |||||||
\(278\) | 13.5953 | + | 2.70107i | 0.815392 | + | 0.161999i | ||||
\(279\) | 18.2584 | 1.09310 | ||||||||
\(280\) | −5.30702 | + | 5.27594i | −0.317155 | + | 0.315298i | ||||
\(281\) | −5.84893 | −0.348918 | −0.174459 | − | 0.984664i | \(-0.555818\pi\) | ||||
−0.174459 | + | 0.984664i | \(0.555818\pi\) | |||||||
\(282\) | 2.24913 | + | 0.446849i | 0.133933 | + | 0.0266094i | ||||
\(283\) | 10.1804i | 0.605164i | 0.953123 | + | 0.302582i | \(0.0978486\pi\) | ||||
−0.953123 | + | 0.302582i | \(0.902151\pi\) | |||||||
\(284\) | 0.855516 | − | 2.06805i | 0.0507655 | − | 0.122716i | ||||
\(285\) | −20.2760 | −1.20105 | ||||||||
\(286\) | 3.59841 | − | 18.1119i | 0.212778 | − | 1.07098i | ||||
\(287\) | 2.93900 | − | 14.5011i | 0.173484 | − | 0.855970i | ||||
\(288\) | 34.0205 | − | 22.7876i | 2.00468 | − | 1.34277i | ||||
\(289\) | 8.41554 | 0.495032 | ||||||||
\(290\) | 3.71924 | + | 0.738926i | 0.218401 | + | 0.0433912i | ||||
\(291\) | 19.4195 | 1.13839 | ||||||||
\(292\) | 4.52310 | − | 10.9338i | 0.264694 | − | 0.639849i | ||||
\(293\) | −30.6832 | −1.79253 | −0.896266 | − | 0.443518i | \(-0.853730\pi\) | ||||
−0.896266 | + | 0.443518i | \(0.853730\pi\) | |||||||
\(294\) | −26.2137 | − | 17.7824i | −1.52882 | − | 1.03709i | ||||
\(295\) | − | 0.802275i | − | 0.0467102i | ||||||
\(296\) | −11.0796 | − | 7.39222i | −0.643986 | − | 0.429664i | ||||
\(297\) | 45.3776i | 2.63308i | ||||||||
\(298\) | −16.0366 | − | 3.18611i | −0.928978 | − | 0.184566i | ||||
\(299\) | 13.4497i | 0.777817i | ||||||||
\(300\) | 2.44631 | − | 5.91351i | 0.141238 | − | 0.341417i | ||||
\(301\) | −22.3633 | − | 4.53249i | −1.28900 | − | 0.261248i | ||||
\(302\) | −0.706379 | − | 0.140341i | −0.0406475 | − | 0.00807571i | ||||
\(303\) | 35.9412i | 2.06477i | ||||||||
\(304\) | −17.9067 | + | 17.9392i | −1.02702 | + | 1.02888i | ||||
\(305\) | −7.97236 | −0.456496 | ||||||||
\(306\) | 29.4181 | + | 5.84468i | 1.68172 | + | 0.334118i | ||||
\(307\) | − | 25.8632i | − | 1.47609i | −0.674750 | − | 0.738046i | \(-0.735749\pi\) | ||
0.674750 | − | 0.738046i | \(-0.264251\pi\) | |||||||
\(308\) | −14.6898 | − | 9.88275i | −0.837027 | − | 0.563122i | ||||
\(309\) | 1.29139i | 0.0734644i | ||||||||
\(310\) | 0.695136 | − | 3.49883i | 0.0394811 | − | 0.198720i | ||||
\(311\) | 10.8246 | 0.613806 | 0.306903 | − | 0.951741i | \(-0.400707\pi\) | ||||
0.306903 | + | 0.951741i | \(0.400707\pi\) | |||||||
\(312\) | 29.3800 | + | 19.6022i | 1.66331 | + | 1.10975i | ||||
\(313\) | − | 27.8999i | − | 1.57699i | −0.615038 | − | 0.788497i | \(-0.710859\pi\) | ||
0.615038 | − | 0.788497i | \(-0.289141\pi\) | |||||||
\(314\) | −2.75307 | + | 13.8571i | −0.155365 | + | 0.781999i | ||||
\(315\) | 18.7697 | + | 3.80415i | 1.05755 | + | 0.214339i | ||||
\(316\) | −8.05905 | + | 19.4813i | −0.453357 | + | 1.09591i | ||||
\(317\) | 7.49682i | 0.421064i | 0.977587 | + | 0.210532i | \(0.0675195\pi\) | ||||
−0.977587 | + | 0.210532i | \(0.932480\pi\) | |||||||
\(318\) | 10.0646 | − | 50.6580i | 0.564392 | − | 2.84076i | ||||
\(319\) | 8.97131i | 0.502297i | ||||||||
\(320\) | −3.07152 | − | 7.38686i | −0.171703 | − | 0.412938i | ||||
\(321\) | 57.2983i | 3.19808i | ||||||||
\(322\) | 11.8969 | + | 4.97520i | 0.662991 | + | 0.277257i | ||||
\(323\) | −18.5661 | −1.03305 | ||||||||
\(324\) | −40.0678 | − | 16.5753i | −2.22599 | − | 0.920852i | ||||
\(325\) | 3.90251 | 0.216473 | ||||||||
\(326\) | −5.44930 | + | 27.4280i | −0.301809 | + | 1.51909i | ||||
\(327\) | 46.0965 | 2.54914 | ||||||||
\(328\) | 13.1577 | + | 8.77876i | 0.726514 | + | 0.484726i | ||||
\(329\) | 1.31400 | + | 0.266315i | 0.0724430 | + | 0.0146824i | ||||
\(330\) | 14.8504 | + | 2.95042i | 0.817486 | + | 0.162415i | ||||
\(331\) | 12.3429 | 0.678429 | 0.339214 | − | 0.940709i | \(-0.389839\pi\) | ||||
0.339214 | + | 0.940709i | \(0.389839\pi\) | |||||||
\(332\) | 3.28182 | − | 7.93320i | 0.180113 | − | 0.435391i | ||||
\(333\) | 34.0865i | 1.86793i | ||||||||
\(334\) | 5.68869 | − | 28.6329i | 0.311271 | − | 1.56672i | ||||
\(335\) | 6.37503 | 0.348305 | ||||||||
\(336\) | 28.2071 | − | 18.7370i | 1.53882 | − | 1.02219i | ||||
\(337\) | 30.1764 | 1.64382 | 0.821908 | − | 0.569620i | \(-0.192910\pi\) | ||||
0.821908 | + | 0.569620i | \(0.192910\pi\) | |||||||
\(338\) | −0.614449 | + | 3.09271i | −0.0334216 | + | 0.168221i | ||||
\(339\) | − | 21.9475i | − | 1.19202i | ||||||
\(340\) | 2.24001 | − | 5.41481i | 0.121482 | − | 0.293659i | ||||
\(341\) | 8.43967 | 0.457034 | ||||||||
\(342\) | 63.6241 | + | 12.6406i | 3.44040 | + | 0.683527i | ||||
\(343\) | −15.2865 | − | 10.4558i | −0.825392 | − | 0.564560i | ||||
\(344\) | 13.5385 | − | 20.2916i | 0.729946 | − | 1.09405i | ||||
\(345\) | −11.0278 | −0.593714 | ||||||||
\(346\) | −3.33914 | + | 16.8069i | −0.179513 | + | 0.903545i | ||||
\(347\) | −21.3398 | −1.14558 | −0.572789 | − | 0.819703i | \(-0.694139\pi\) | ||||
−0.572789 | + | 0.819703i | \(0.694139\pi\) | |||||||
\(348\) | −15.8559 | − | 6.55930i | −0.849965 | − | 0.351615i | ||||
\(349\) | −16.3885 | −0.877255 | −0.438627 | − | 0.898669i | \(-0.644535\pi\) | ||||
−0.438627 | + | 0.898669i | \(0.644535\pi\) | |||||||
\(350\) | 1.44358 | − | 3.45197i | 0.0771627 | − | 0.184515i | ||||
\(351\) | − | 52.9268i | − | 2.82502i | ||||||
\(352\) | 15.7254 | − | 10.5332i | 0.838168 | − | 0.561422i | ||||
\(353\) | − | 3.84670i | − | 0.204739i | −0.994746 | − | 0.102370i | \(-0.967358\pi\) | ||
0.994746 | − | 0.102370i | \(-0.0326425\pi\) | |||||||
\(354\) | −0.707451 | + | 3.56082i | −0.0376006 | + | 0.189255i | ||||
\(355\) | 1.11901i | 0.0593910i | ||||||||
\(356\) | 1.53457 | − | 3.70955i | 0.0813323 | − | 0.196606i | ||||
\(357\) | 24.3099 | + | 4.92700i | 1.28661 | + | 0.260765i | ||||
\(358\) | 4.03256 | − | 20.2971i | 0.213127 | − | 1.07273i | ||||
\(359\) | − | 27.6613i | − | 1.45991i | −0.683495 | − | 0.729955i | \(-0.739541\pi\) | ||
0.683495 | − | 0.729955i | \(-0.260459\pi\) | |||||||
\(360\) | −11.3629 | + | 17.0309i | −0.598879 | + | 0.897607i | ||||
\(361\) | −21.1540 | −1.11337 | ||||||||
\(362\) | −6.37660 | + | 32.0954i | −0.335146 | + | 1.68689i | ||||
\(363\) | 0.623698i | 0.0327357i | ||||||||
\(364\) | 17.1336 | + | 11.5269i | 0.898045 | + | 0.604172i | ||||
\(365\) | 5.91619i | 0.309668i | ||||||||
\(366\) | 35.3845 | + | 7.03008i | 1.84958 | + | 0.367468i | ||||
\(367\) | 2.94732 | 0.153849 | 0.0769244 | − | 0.997037i | \(-0.475490\pi\) | ||||
0.0769244 | + | 0.997037i | \(0.475490\pi\) | |||||||
\(368\) | −9.73911 | + | 9.75680i | −0.507686 | + | 0.508608i | ||||
\(369\) | − | 40.4801i | − | 2.10731i | ||||||
\(370\) | 6.53194 | + | 1.29774i | 0.339579 | + | 0.0674665i | ||||
\(371\) | 5.99831 | − | 29.5957i | 0.311417 | − | 1.53653i | ||||
\(372\) | −6.17059 | + | 14.9163i | −0.319930 | + | 0.773372i | ||||
\(373\) | 12.6247i | 0.653683i | 0.945079 | + | 0.326841i | \(0.105984\pi\) | ||||
−0.945079 | + | 0.326841i | \(0.894016\pi\) | |||||||
\(374\) | 13.5980 | + | 2.70161i | 0.703136 | + | 0.139697i | ||||
\(375\) | 3.19977i | 0.165235i | ||||||||
\(376\) | −0.795478 | + | 1.19227i | −0.0410236 | + | 0.0614868i | ||||
\(377\) | − | 10.4638i | − | 0.538914i | ||||||
\(378\) | −46.8164 | − | 19.5782i | −2.40798 | − | 1.00699i | ||||
\(379\) | −20.9882 | −1.07809 | −0.539045 | − | 0.842277i | \(-0.681215\pi\) | ||||
−0.539045 | + | 0.842277i | \(0.681215\pi\) | |||||||
\(380\) | 4.84460 | − | 11.7109i | 0.248523 | − | 0.600758i | ||||
\(381\) | −18.7954 | −0.962919 | ||||||||
\(382\) | 3.35060 | + | 0.665686i | 0.171432 | + | 0.0340595i | ||||
\(383\) | −11.4237 | −0.583724 | −0.291862 | − | 0.956460i | \(-0.594275\pi\) | ||||
−0.291862 | + | 0.956460i | \(0.594275\pi\) | |||||||
\(384\) | 7.11887 | + | 35.4944i | 0.363283 | + | 1.81131i | ||||
\(385\) | 8.67597 | + | 1.75840i | 0.442168 | + | 0.0896166i | ||||
\(386\) | 2.03533 | − | 10.2444i | 0.103596 | − | 0.521428i | ||||
\(387\) | −62.4277 | −3.17338 | ||||||||
\(388\) | −4.63995 | + | 11.2162i | −0.235558 | + | 0.569417i | ||||
\(389\) | − | 22.7966i | − | 1.15583i | −0.816096 | − | 0.577917i | \(-0.803866\pi\) | ||
0.816096 | − | 0.577917i | \(-0.196134\pi\) | |||||||
\(390\) | −17.3209 | − | 3.44126i | −0.877080 | − | 0.174255i | ||||
\(391\) | −10.0978 | −0.510666 | ||||||||
\(392\) | 16.5340 | − | 10.8916i | 0.835093 | − | 0.550109i | ||||
\(393\) | −14.3247 | −0.722586 | ||||||||
\(394\) | −29.0328 | − | 5.76814i | −1.46265 | − | 0.290595i | ||||
\(395\) | − | 10.5412i | − | 0.530385i | ||||||
\(396\) | −44.7596 | − | 18.5163i | −2.24926 | − | 0.930477i | ||||
\(397\) | −29.8779 | −1.49953 | −0.749763 | − | 0.661706i | \(-0.769833\pi\) | ||||
−0.749763 | + | 0.661706i | \(0.769833\pi\) | |||||||
\(398\) | 1.34938 | − | 6.79186i | 0.0676385 | − | 0.340445i | ||||
\(399\) | 52.5763 | + | 10.6559i | 2.63211 | + | 0.533463i | ||||
\(400\) | 2.83099 | + | 2.82586i | 0.141550 | + | 0.141293i | ||||
\(401\) | −16.8397 | −0.840933 | −0.420467 | − | 0.907308i | \(-0.638134\pi\) | ||||
−0.420467 | + | 0.907308i | \(0.638134\pi\) | |||||||
\(402\) | −28.2950 | − | 5.62154i | −1.41122 | − | 0.280377i | ||||
\(403\) | −9.84372 | −0.490351 | ||||||||
\(404\) | −20.7587 | − | 8.58752i | −1.03279 | − | 0.427245i | ||||
\(405\) | 21.6805 | 1.07731 | ||||||||
\(406\) | −9.25576 | − | 3.87068i | −0.459356 | − | 0.192098i | ||||
\(407\) | 15.7559i | 0.780993i | ||||||||
\(408\) | −14.7169 | + | 22.0579i | −0.728595 | + | 1.09203i | ||||
\(409\) | − | 26.9755i | − | 1.33385i | −0.745123 | − | 0.666927i | \(-0.767609\pi\) | ||
0.745123 | − | 0.666927i | \(-0.232391\pi\) | |||||||
\(410\) | −7.75712 | − | 1.54116i | −0.383097 | − | 0.0761124i | ||||
\(411\) | 25.2906i | 1.24750i | ||||||||
\(412\) | −0.745872 | − | 0.308554i | −0.0367465 | − | 0.0152014i | ||||
\(413\) | −0.421630 | + | 2.08032i | −0.0207470 | + | 0.102366i | ||||
\(414\) | 34.6040 | + | 6.87501i | 1.70069 | + | 0.337888i | ||||
\(415\) | 4.29261i | 0.210716i | ||||||||
\(416\) | −18.3416 | + | 12.2856i | −0.899269 | + | 0.602349i | ||||
\(417\) | 31.3616 | 1.53579 | ||||||||
\(418\) | 29.4092 | + | 5.84292i | 1.43845 | + | 0.285787i | ||||
\(419\) | − | 15.0474i | − | 0.735114i | −0.930001 | − | 0.367557i | \(-0.880194\pi\) | ||
0.930001 | − | 0.367557i | \(-0.119806\pi\) | |||||||
\(420\) | −9.45117 | + | 14.0483i | −0.461170 | + | 0.685485i | ||||
\(421\) | 27.5257i | 1.34152i | 0.741674 | + | 0.670761i | \(0.234032\pi\) | ||||
−0.741674 | + | 0.670761i | \(0.765968\pi\) | |||||||
\(422\) | −0.621297 | + | 3.12718i | −0.0302443 | + | 0.152229i | ||||
\(423\) | 3.66806 | 0.178347 | ||||||||
\(424\) | 26.8540 | + | 17.9169i | 1.30415 | + | 0.870121i | ||||
\(425\) | 2.92992i | 0.142122i | ||||||||
\(426\) | 0.986752 | − | 4.96662i | 0.0478083 | − | 0.240634i | ||||
\(427\) | 20.6726 | + | 4.18982i | 1.00042 | + | 0.202759i | ||||
\(428\) | −33.0941 | − | 13.6904i | −1.59966 | − | 0.661752i | ||||
\(429\) | − | 41.7805i | − | 2.01718i | ||||||
\(430\) | −2.37675 | + | 11.9629i | −0.114617 | + | 0.576903i | ||||
\(431\) | − | 22.5778i | − | 1.08753i | −0.839236 | − | 0.543767i | \(-0.816998\pi\) | ||
0.839236 | − | 0.543767i | \(-0.183002\pi\) | |||||||
\(432\) | 38.3250 | − | 38.3946i | 1.84391 | − | 1.84726i | ||||
\(433\) | 23.4737i | 1.12808i | 0.825749 | + | 0.564038i | \(0.190753\pi\) | ||||
−0.825749 | + | 0.564038i | \(0.809247\pi\) | |||||||
\(434\) | −3.64130 | + | 8.70726i | −0.174788 | + | 0.417962i | ||||
\(435\) | 8.57954 | 0.411357 | ||||||||
\(436\) | −11.0140 | + | 26.6242i | −0.527473 | + | 1.27507i | ||||
\(437\) | −21.8390 | −1.04470 | ||||||||
\(438\) | 5.21694 | − | 26.2585i | 0.249275 | − | 1.25468i | ||||
\(439\) | −12.3485 | −0.589363 | −0.294681 | − | 0.955596i | \(-0.595214\pi\) | ||||
−0.294681 | + | 0.955596i | \(0.595214\pi\) | |||||||
\(440\) | −5.25233 | + | 7.87226i | −0.250395 | + | 0.375295i | ||||
\(441\) | −46.6711 | − | 19.7285i | −2.22243 | − | 0.939454i | ||||
\(442\) | −15.8602 | − | 3.15106i | −0.754394 | − | 0.149880i | ||||
\(443\) | 24.9234 | 1.18415 | 0.592074 | − | 0.805883i | \(-0.298309\pi\) | ||||
0.592074 | + | 0.805883i | \(0.298309\pi\) | |||||||
\(444\) | −27.8470 | − | 11.5198i | −1.32156 | − | 0.546707i | ||||
\(445\) | 2.00722i | 0.0951512i | ||||||||
\(446\) | −6.74686 | + | 33.9590i | −0.319473 | + | 1.60801i | ||||
\(447\) | −36.9933 | −1.74972 | ||||||||
\(448\) | 4.08244 | + | 20.7686i | 0.192877 | + | 0.981223i | ||||
\(449\) | 33.7360 | 1.59210 | 0.796051 | − | 0.605230i | \(-0.206919\pi\) | ||||
0.796051 | + | 0.605230i | \(0.206919\pi\) | |||||||
\(450\) | 1.99482 | − | 10.0406i | 0.0940368 | − | 0.473316i | ||||
\(451\) | − | 18.7112i | − | 0.881078i | ||||||
\(452\) | 12.6763 | + | 5.24397i | 0.596244 | + | 0.246656i | ||||
\(453\) | −1.62947 | −0.0765594 | ||||||||
\(454\) | 7.15992 | + | 1.42251i | 0.336032 | + | 0.0667616i | ||||
\(455\) | −10.1193 | − | 2.05094i | −0.474402 | − | 0.0961495i | ||||
\(456\) | −31.8291 | + | 47.7058i | −1.49053 | + | 2.23403i | ||||
\(457\) | −23.0696 | −1.07915 | −0.539576 | − | 0.841937i | \(-0.681416\pi\) | ||||
−0.539576 | + | 0.841937i | \(0.681416\pi\) | |||||||
\(458\) | −2.61529 | + | 13.1635i | −0.122204 | + | 0.615092i | ||||
\(459\) | 39.7363 | 1.85473 | ||||||||
\(460\) | 2.63489 | − | 6.36936i | 0.122852 | − | 0.296973i | ||||
\(461\) | 4.90911 | 0.228640 | 0.114320 | − | 0.993444i | \(-0.463531\pi\) | ||||
0.114320 | + | 0.993444i | \(0.463531\pi\) | |||||||
\(462\) | −36.9569 | − | 15.4550i | −1.71939 | − | 0.719034i | ||||
\(463\) | 30.9829i | 1.43990i | 0.694027 | + | 0.719949i | \(0.255835\pi\) | ||||
−0.694027 | + | 0.719949i | \(0.744165\pi\) | |||||||
\(464\) | 7.57698 | − | 7.59074i | 0.351752 | − | 0.352391i | ||||
\(465\) | − | 8.07111i | − | 0.374289i | ||||||
\(466\) | 0.703339 | − | 3.54012i | 0.0325815 | − | 0.163993i | ||||
\(467\) | 20.4881i | 0.948078i | 0.880504 | + | 0.474039i | \(0.157204\pi\) | ||||
−0.880504 | + | 0.474039i | \(0.842796\pi\) | |||||||
\(468\) | 52.2060 | + | 21.5967i | 2.41322 | + | 0.998308i | ||||
\(469\) | −16.5306 | − | 3.35035i | −0.763314 | − | 0.154705i | ||||
\(470\) | 0.139650 | − | 0.702903i | 0.00644159 | − | 0.0324225i | ||||
\(471\) | 31.9655i | 1.47289i | ||||||||
\(472\) | −1.88761 | − | 1.25940i | −0.0868842 | − | 0.0579687i | ||||
\(473\) | −28.8562 | −1.32681 | ||||||||
\(474\) | −9.29531 | + | 46.7861i | −0.426948 | + | 2.14896i | ||||
\(475\) | 6.33672i | 0.290749i | ||||||||
\(476\) | −8.65413 | + | 12.8635i | −0.396661 | + | 0.589600i | ||||
\(477\) | − | 82.6171i | − | 3.78278i | ||||||
\(478\) | −11.3128 | − | 2.24759i | −0.517437 | − | 0.102803i | ||||
\(479\) | −35.1704 | −1.60698 | −0.803489 | − | 0.595319i | \(-0.797026\pi\) | ||||
−0.803489 | + | 0.595319i | \(0.797026\pi\) | |||||||
\(480\) | −10.0732 | − | 15.0387i | −0.459778 | − | 0.686419i | ||||
\(481\) | − | 18.3772i | − | 0.837926i | ||||||
\(482\) | 3.70014 | + | 0.735132i | 0.168537 | + | 0.0334843i | ||||
\(483\) | 28.5953 | + | 5.79556i | 1.30113 | + | 0.263707i | ||||
\(484\) | −0.360233 | − | 0.149022i | −0.0163742 | − | 0.00677372i | ||||
\(485\) | − | 6.06903i | − | 0.275580i | ||||||
\(486\) | −39.7901 | − | 7.90535i | −1.80491 | − | 0.358594i | ||||
\(487\) | 7.86977i | 0.356614i | 0.983975 | + | 0.178307i | \(0.0570619\pi\) | ||||
−0.983975 | + | 0.178307i | \(0.942938\pi\) | |||||||
\(488\) | −12.5149 | + | 18.7575i | −0.566524 | + | 0.849113i | ||||
\(489\) | 63.2708i | 2.86121i | ||||||||
\(490\) | −5.55741 | + | 8.19239i | −0.251058 | + | 0.370094i | ||||
\(491\) | 2.88992 | 0.130420 | 0.0652102 | − | 0.997872i | \(-0.479228\pi\) | ||||
0.0652102 | + | 0.997872i | \(0.479228\pi\) | |||||||
\(492\) | 33.0702 | + | 13.6806i | 1.49092 | + | 0.616768i | ||||
\(493\) | 7.85601 | 0.353817 | ||||||||
\(494\) | −34.3018 | − | 6.81497i | −1.54331 | − | 0.306620i | ||||
\(495\) | 24.2192 | 1.08857 | ||||||||
\(496\) | −7.14091 | − | 7.12796i | −0.320636 | − | 0.320055i | ||||
\(497\) | 0.588089 | − | 2.90163i | 0.0263794 | − | 0.130156i | ||||
\(498\) | 3.78525 | − | 19.0523i | 0.169621 | − | 0.853756i | ||||
\(499\) | 16.5134 | 0.739240 | 0.369620 | − | 0.929183i | \(-0.379488\pi\) | ||||
0.369620 | + | 0.929183i | \(0.379488\pi\) | |||||||
\(500\) | −1.84811 | − | 0.764529i | −0.0826498 | − | 0.0341908i | ||||
\(501\) | − | 66.0504i | − | 2.95092i | ||||||
\(502\) | −11.8215 | − | 2.34866i | −0.527619 | − | 0.104826i | ||||
\(503\) | −7.23320 | −0.322513 | −0.161256 | − | 0.986913i | \(-0.551555\pi\) | ||||
−0.161256 | + | 0.986913i | \(0.551555\pi\) | |||||||
\(504\) | 38.4149 | − | 38.1899i | 1.71114 | − | 1.70112i | ||||
\(505\) | 11.2324 | 0.499837 | ||||||||
\(506\) | 15.9951 | + | 3.17786i | 0.711070 | + | 0.141273i | ||||
\(507\) | 7.13426i | 0.316843i | ||||||||
\(508\) | 4.49084 | − | 10.8558i | 0.199249 | − | 0.481647i | ||||
\(509\) | 26.3986 | 1.17010 | 0.585048 | − | 0.810999i | \(-0.301076\pi\) | ||||
0.585048 | + | 0.810999i | \(0.301076\pi\) | |||||||
\(510\) | 2.58363 | − | 13.0042i | 0.114405 | − | 0.575835i | ||||
\(511\) | 3.10921 | − | 15.3409i | 0.137543 | − | 0.678640i | ||||
\(512\) | −22.2016 | − | 4.36908i | −0.981181 | − | 0.193088i | ||||
\(513\) | 85.9401 | 3.79435 | ||||||||
\(514\) | −19.6238 | − | 3.89879i | −0.865569 | − | 0.171968i | ||||
\(515\) | 0.403587 | 0.0177842 | ||||||||
\(516\) | 21.0980 | − | 51.0004i | 0.928786 | − | 2.24517i | ||||
\(517\) | 1.69550 | 0.0745679 | ||||||||
\(518\) | −16.2555 | − | 6.79790i | −0.714226 | − | 0.298683i | ||||
\(519\) | 38.7702i | 1.70182i | ||||||||
\(520\) | 6.12613 | − | 9.18191i | 0.268648 | − | 0.402654i | ||||
\(521\) | 29.5635i | 1.29520i | 0.761981 | + | 0.647599i | \(0.224227\pi\) | ||||
−0.761981 | + | 0.647599i | \(0.775773\pi\) | |||||||
\(522\) | −26.9217 | − | 5.34872i | −1.17833 | − | 0.234107i | ||||
\(523\) | 21.6311i | 0.945862i | 0.881100 | + | 0.472931i | \(0.156804\pi\) | ||||
−0.881100 | + | 0.472931i | \(0.843196\pi\) | |||||||
\(524\) | 3.42264 | − | 8.27359i | 0.149519 | − | 0.361434i | ||||
\(525\) | 1.68161 | − | 8.29709i | 0.0733917 | − | 0.362115i | ||||
\(526\) | 43.1969 | + | 8.58221i | 1.88347 | + | 0.374202i | ||||
\(527\) | − | 7.39046i | − | 0.321933i | ||||||
\(528\) | 30.2538 | − | 30.3087i | 1.31663 | − | 1.31902i | ||||
\(529\) | 11.1222 | 0.483572 | ||||||||
\(530\) | −15.8318 | − | 3.14540i | −0.687688 | − | 0.136628i | ||||
\(531\) | 5.80727i | 0.252014i | ||||||||
\(532\) | −18.7168 | + | 27.8207i | −0.811476 | + | 1.20618i | ||||
\(533\) | 21.8241i | 0.945307i | ||||||||
\(534\) | 1.76998 | − | 8.90883i | 0.0765944 | − | 0.385523i | ||||
\(535\) | 17.9070 | 0.774188 | ||||||||
\(536\) | 10.0075 | − | 14.9993i | 0.432256 | − | 0.647871i | ||||
\(537\) | − | 46.8213i | − | 2.02049i | ||||||
\(538\) | 0.384626 | − | 1.93594i | 0.0165824 | − | 0.0834643i | ||||
\(539\) | −21.5729 | − | 9.11919i | −0.929212 | − | 0.392791i | ||||
\(540\) | −10.3687 | + | 25.0645i | −0.446199 | + | 1.07860i | ||||
\(541\) | − | 3.88138i | − | 0.166874i | −0.996513 | − | 0.0834368i | \(-0.973410\pi\) | ||
0.996513 | − | 0.0834368i | \(-0.0265897\pi\) | |||||||
\(542\) | 6.19138 | − | 31.1631i | 0.265942 | − | 1.33857i | ||||
\(543\) | 74.0375i | 3.17725i | ||||||||
\(544\) | −9.22373 | − | 13.7705i | −0.395464 | − | 0.590403i | ||||
\(545\) | − | 14.4062i | − | 0.617094i | ||||||
\(546\) | 43.1052 | + | 18.0262i | 1.84473 | + | 0.771450i | ||||
\(547\) | −4.88320 | −0.208791 | −0.104395 | − | 0.994536i | \(-0.533291\pi\) | ||||
−0.104395 | + | 0.994536i | \(0.533291\pi\) | |||||||
\(548\) | −14.6072 | − | 6.04276i | −0.623991 | − | 0.258134i | ||||
\(549\) | 57.7080 | 2.46292 | ||||||||
\(550\) | 0.922074 | − | 4.64108i | 0.0393174 | − | 0.197896i | ||||
\(551\) | 16.9906 | 0.723826 | ||||||||
\(552\) | −17.3113 | + | 25.9463i | −0.736816 | + | 1.10435i | ||||
\(553\) | −5.53985 | + | 27.3337i | −0.235579 | + | 1.16235i | ||||
\(554\) | 16.7601 | + | 3.32984i | 0.712068 | + | 0.141471i | ||||
\(555\) | 15.0679 | 0.639596 | ||||||||
\(556\) | −7.49332 | + | 18.1137i | −0.317788 | + | 0.768192i | ||||
\(557\) | 44.6377i | 1.89136i | 0.325099 | + | 0.945680i | \(0.394602\pi\) | ||||
−0.325099 | + | 0.945680i | \(0.605398\pi\) | |||||||
\(558\) | −5.03175 | + | 25.3263i | −0.213011 | + | 1.07215i | ||||
\(559\) | 33.6568 | 1.42353 | ||||||||
\(560\) | −5.85574 | − | 8.81535i | −0.247450 | − | 0.372516i | ||||
\(561\) | 31.3679 | 1.32435 | ||||||||
\(562\) | 1.61188 | − | 8.11306i | 0.0679928 | − | 0.342229i | ||||
\(563\) | − | 28.5884i | − | 1.20486i | −0.798172 | − | 0.602429i | \(-0.794200\pi\) | ||
0.798172 | − | 0.602429i | \(-0.205800\pi\) | |||||||
\(564\) | −1.23965 | + | 2.99662i | −0.0521987 | + | 0.126181i | ||||
\(565\) | −6.85909 | −0.288564 | ||||||||
\(566\) | −14.1213 | − | 2.80557i | −0.593563 | − | 0.117927i | ||||
\(567\) | −56.2181 | − | 11.3940i | −2.36094 | − | 0.478504i | ||||
\(568\) | 2.63283 | + | 1.75661i | 0.110471 | + | 0.0737058i | ||||
\(569\) | −5.12489 | −0.214846 | −0.107423 | − | 0.994213i | \(-0.534260\pi\) | ||||
−0.107423 | + | 0.994213i | \(0.534260\pi\) | |||||||
\(570\) | 5.58776 | − | 28.1249i | 0.234046 | − | 1.17802i | ||||
\(571\) | 36.7465 | 1.53779 | 0.768897 | − | 0.639373i | \(-0.220806\pi\) | ||||
0.768897 | + | 0.639373i | \(0.220806\pi\) | |||||||
\(572\) | 24.1314 | + | 9.98272i | 1.00898 | + | 0.417398i | ||||
\(573\) | 7.72916 | 0.322890 | ||||||||
\(574\) | 19.3045 | + | 8.07297i | 0.805754 | + | 0.336959i | ||||
\(575\) | 3.44642i | 0.143726i | ||||||||
\(576\) | 22.2332 | + | 53.4699i | 0.926385 | + | 2.22791i | ||||
\(577\) | 2.55301i | 0.106283i | 0.998587 | + | 0.0531417i | \(0.0169235\pi\) | ||||
−0.998587 | + | 0.0531417i | \(0.983076\pi\) | |||||||
\(578\) | −2.31920 | + | 11.6732i | −0.0964658 | + | 0.485542i | ||||
\(579\) | − | 23.6319i | − | 0.982106i | ||||||
\(580\) | −2.04993 | + | 4.95533i | −0.0851187 | + | 0.205759i | ||||
\(581\) | 2.25595 | − | 11.1309i | 0.0935926 | − | 0.461786i | ||||
\(582\) | −5.35171 | + | 26.9368i | −0.221836 | + | 1.11657i | ||||
\(583\) | − | 38.1884i | − | 1.58160i | ||||||
\(584\) | 13.9197 | + | 9.28718i | 0.576003 | + | 0.384306i | ||||
\(585\) | −28.2484 | −1.16793 | ||||||||
\(586\) | 8.45582 | − | 42.5607i | 0.349307 | − | 1.75817i | ||||
\(587\) | 33.3508i | 1.37653i | 0.725457 | + | 0.688267i | \(0.241628\pi\) | ||||
−0.725457 | + | 0.688267i | \(0.758372\pi\) | |||||||
\(588\) | 31.8901 | − | 31.4606i | 1.31513 | − | 1.29741i | ||||
\(589\) | − | 15.9838i | − | 0.658600i | ||||||
\(590\) | 1.11284 | + | 0.221095i | 0.0458148 | + | 0.00910232i | ||||
\(591\) | −66.9728 | −2.75489 | ||||||||
\(592\) | 13.3071 | − | 13.3313i | 0.546920 | − | 0.547913i | ||||
\(593\) | 10.9350i | 0.449048i | 0.974469 | + | 0.224524i | \(0.0720827\pi\) | ||||
−0.974469 | + | 0.224524i | \(0.927917\pi\) | |||||||
\(594\) | −62.9434 | − | 12.5054i | −2.58260 | − | 0.513102i | ||||
\(595\) | 1.53980 | − | 7.59738i | 0.0631257 | − | 0.311462i | ||||
\(596\) | 8.83891 | − | 21.3664i | 0.362056 | − | 0.875203i | ||||
\(597\) | − | 15.6675i | − | 0.641227i | ||||||
\(598\) | −18.6561 | − | 3.70654i | −0.762906 | − | 0.151572i | ||||
\(599\) | − | 25.8459i | − | 1.05603i | −0.849234 | − | 0.528017i | \(-0.822936\pi\) | ||
0.849234 | − | 0.528017i | \(-0.177064\pi\) | |||||||
\(600\) | 7.52847 | + | 5.02296i | 0.307349 | + | 0.205061i | ||||
\(601\) | − | 6.70199i | − | 0.273380i | −0.990614 | − | 0.136690i | \(-0.956354\pi\) | ||
0.990614 | − | 0.136690i | \(-0.0436464\pi\) | |||||||
\(602\) | 12.4500 | − | 29.7711i | 0.507425 | − | 1.21338i | ||||
\(603\) | −46.1457 | −1.87920 | ||||||||
\(604\) | 0.389334 | − | 0.941144i | 0.0158418 | − | 0.0382946i | ||||
\(605\) | 0.194920 | 0.00792462 | ||||||||
\(606\) | −49.8541 | − | 9.90484i | −2.02518 | − | 0.402357i | ||||
\(607\) | 37.4686 | 1.52080 | 0.760402 | − | 0.649453i | \(-0.225002\pi\) | ||||
0.760402 | + | 0.649453i | \(0.225002\pi\) | |||||||
\(608\) | −19.9487 | − | 29.7822i | −0.809026 | − | 1.20783i | ||||
\(609\) | −22.2470 | − | 4.50891i | −0.901494 | − | 0.182710i | ||||
\(610\) | 2.19706 | − | 11.0585i | 0.0889564 | − | 0.447745i | ||||
\(611\) | −1.97757 | −0.0800038 | ||||||||
\(612\) | −16.2143 | + | 39.1952i | −0.655426 | + | 1.58437i | ||||
\(613\) | − | 20.0776i | − | 0.810928i | −0.914111 | − | 0.405464i | \(-0.867110\pi\) | ||
0.914111 | − | 0.405464i | \(-0.132890\pi\) | |||||||
\(614\) | 35.8750 | + | 7.12751i | 1.44780 | + | 0.287643i | ||||
\(615\) | −17.8941 | −0.721561 | ||||||||
\(616\) | 17.7567 | − | 17.6527i | 0.715436 | − | 0.711246i | ||||
\(617\) | 27.8737 | 1.12215 | 0.561077 | − | 0.827764i | \(-0.310387\pi\) | ||||
0.561077 | + | 0.827764i | \(0.310387\pi\) | |||||||
\(618\) | −1.79128 | − | 0.355886i | −0.0720560 | − | 0.0143158i | ||||
\(619\) | 25.0328i | 1.00615i | 0.864242 | + | 0.503076i | \(0.167798\pi\) | ||||
−0.864242 | + | 0.503076i | \(0.832202\pi\) | |||||||
\(620\) | 4.66167 | + | 1.92845i | 0.187217 | + | 0.0774485i | ||||
\(621\) | 46.7412 | 1.87566 | ||||||||
\(622\) | −2.98309 | + | 15.0148i | −0.119611 | + | 0.602039i | ||||
\(623\) | 1.05488 | − | 5.20477i | 0.0422628 | − | 0.208525i | ||||
\(624\) | −35.2869 | + | 35.3510i | −1.41261 | + | 1.41517i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 38.7000 | + | 7.68879i | 1.54676 | + | 0.307306i | ||||
\(627\) | 67.8412 | 2.70931 | ||||||||
\(628\) | −18.4625 | − | 7.63759i | −0.736732 | − | 0.304773i | ||||
\(629\) | 13.7972 | 0.550129 | ||||||||
\(630\) | −10.4494 | + | 24.9871i | −0.416313 | + | 0.995509i | ||||
\(631\) | 17.2836i | 0.688048i | 0.938961 | + | 0.344024i | \(0.111790\pi\) | ||||
−0.938961 | + | 0.344024i | \(0.888210\pi\) | |||||||
\(632\) | −24.8016 | − | 16.5475i | −0.986553 | − | 0.658223i | ||||
\(633\) | 7.21378i | 0.286722i | ||||||||
\(634\) | −10.3989 | − | 2.06601i | −0.412992 | − | 0.0820518i | ||||
\(635\) | 5.87400i | 0.233103i | ||||||||
\(636\) | 67.4942 | + | 27.9211i | 2.67632 | + | 1.10714i | ||||
\(637\) | 25.1619 | + | 10.6363i | 0.996950 | + | 0.421425i | ||||
\(638\) | −12.4441 | − | 2.47236i | −0.492668 | − | 0.0978815i | ||||
\(639\) | − | 8.09997i | − | 0.320430i | ||||||
\(640\) | 11.0928 | − | 2.22481i | 0.438481 | − | 0.0879433i | ||||
\(641\) | −5.40646 | −0.213542 | −0.106771 | − | 0.994284i | \(-0.534051\pi\) | ||||
−0.106771 | + | 0.994284i | \(0.534051\pi\) | |||||||
\(642\) | −79.4786 | − | 15.7905i | −3.13677 | − | 0.623203i | ||||
\(643\) | − | 8.51562i | − | 0.335823i | −0.985802 | − | 0.167912i | \(-0.946298\pi\) | ||
0.985802 | − | 0.167912i | \(-0.0537024\pi\) | |||||||
\(644\) | −10.1797 | + | 15.1312i | −0.401137 | + | 0.596252i | ||||
\(645\) | 27.5960i | 1.08659i | ||||||||
\(646\) | 5.11654 | − | 25.7531i | 0.201307 | − | 1.01324i | ||||
\(647\) | 9.29106 | 0.365269 | 0.182635 | − | 0.983181i | \(-0.441537\pi\) | ||||
0.182635 | + | 0.983181i | \(0.441537\pi\) | |||||||
\(648\) | 34.0338 | − | 51.0102i | 1.33697 | − | 2.00387i | ||||
\(649\) | 2.68432i | 0.105369i | ||||||||
\(650\) | −1.07547 | + | 5.41319i | −0.0421835 | + | 0.212323i | ||||
\(651\) | −4.24171 | + | 20.9286i | −0.166246 | + | 0.820257i | ||||
\(652\) | −36.5437 | − | 15.1175i | −1.43116 | − | 0.592045i | ||||
\(653\) | − | 13.4994i | − | 0.528272i | −0.964486 | − | 0.264136i | \(-0.914913\pi\) | ||
0.964486 | − | 0.264136i | \(-0.0850867\pi\) | |||||||
\(654\) | −12.7035 | + | 63.9405i | −0.496746 | + | 2.50027i | ||||
\(655\) | 4.47680i | 0.174923i | ||||||||
\(656\) | −15.8031 | + | 15.8318i | −0.617008 | + | 0.618128i | ||||
\(657\) | − | 42.8244i | − | 1.67074i | ||||||
\(658\) | −0.731523 | + | 1.74926i | −0.0285177 | + | 0.0681931i | ||||
\(659\) | −32.9215 | −1.28244 | −0.641219 | − | 0.767358i | \(-0.721571\pi\) | ||||
−0.641219 | + | 0.767358i | \(0.721571\pi\) | |||||||
\(660\) | −8.18507 | + | 19.7859i | −0.318604 | + | 0.770165i | ||||
\(661\) | −28.6462 | −1.11421 | −0.557104 | − | 0.830443i | \(-0.688088\pi\) | ||||
−0.557104 | + | 0.830443i | \(0.688088\pi\) | |||||||
\(662\) | −3.40152 | + | 17.1209i | −0.132204 | + | 0.665423i | ||||
\(663\) | −36.5864 | −1.42090 | ||||||||
\(664\) | 10.0997 | + | 6.73849i | 0.391946 | + | 0.261504i | ||||
\(665\) | 3.33022 | − | 16.4313i | 0.129140 | − | 0.637179i | ||||
\(666\) | −47.2815 | − | 9.39373i | −1.83212 | − | 0.364000i | ||||
\(667\) | 9.24090 | 0.357809 | ||||||||
\(668\) | 38.1491 | + | 15.7816i | 1.47603 | + | 0.610608i | ||||
\(669\) | 78.3367i | 3.02867i | ||||||||
\(670\) | −1.75686 | + | 8.84282i | −0.0678735 | + | 0.341628i | ||||
\(671\) | 26.6746 | 1.02976 | ||||||||
\(672\) | 18.2167 | + | 44.2897i | 0.702724 | + | 1.70851i | ||||
\(673\) | 4.30988 | 0.166134 | 0.0830669 | − | 0.996544i | \(-0.473528\pi\) | ||||
0.0830669 | + | 0.996544i | \(0.473528\pi\) | |||||||
\(674\) | −8.31617 | + | 41.8578i | −0.320327 | + | 1.61230i | ||||
\(675\) | − | 13.5622i | − | 0.522011i | ||||||
\(676\) | −4.12057 | − | 1.70461i | −0.158483 | − | 0.0655618i | ||||
\(677\) | −23.3619 | −0.897870 | −0.448935 | − | 0.893564i | \(-0.648197\pi\) | ||||
−0.448935 | + | 0.893564i | \(0.648197\pi\) | |||||||
\(678\) | 30.4434 | + | 6.04840i | 1.16917 | + | 0.232287i | ||||
\(679\) | −3.18954 | + | 15.7372i | −0.122403 | + | 0.603937i | ||||
\(680\) | 6.89358 | + | 4.59936i | 0.264357 | + | 0.176378i | ||||
\(681\) | 16.5165 | 0.632913 | ||||||||
\(682\) | −2.32584 | + | 11.7067i | −0.0890612 | + | 0.448272i | ||||
\(683\) | 40.0020 | 1.53063 | 0.765317 | − | 0.643653i | \(-0.222582\pi\) | ||||
0.765317 | + | 0.643653i | \(0.222582\pi\) | |||||||
\(684\) | −35.0677 | + | 84.7696i | −1.34085 | + | 3.24125i | ||||
\(685\) | 7.90390 | 0.301993 | ||||||||
\(686\) | 18.7160 | − | 18.3225i | 0.714579 | − | 0.699554i | ||||
\(687\) | 30.3656i | 1.15852i | ||||||||
\(688\) | 24.4156 | + | 24.3713i | 0.930835 | + | 0.929148i | ||||
\(689\) | 44.5416i | 1.69690i | ||||||||
\(690\) | 3.03908 | − | 15.2966i | 0.115696 | − | 0.582333i | ||||
\(691\) | − | 38.8983i | − | 1.47976i | −0.672738 | − | 0.739881i | \(-0.734882\pi\) | ||
0.672738 | − | 0.739881i | \(-0.265118\pi\) | |||||||
\(692\) | −22.3927 | − | 9.26346i | −0.851242 | − | 0.352144i | ||||
\(693\) | −62.8011 | − | 12.7282i | −2.38562 | − | 0.483505i | ||||
\(694\) | 5.88091 | − | 29.6004i | 0.223236 | − | 1.12362i | ||||
\(695\) | − | 9.80123i | − | 0.371782i | ||||||
\(696\) | 13.4681 | − | 20.1861i | 0.510506 | − | 0.765152i | ||||
\(697\) | −16.3851 | −0.620629 | ||||||||
\(698\) | 4.51641 | − | 22.7325i | 0.170949 | − | 0.860437i | ||||
\(699\) | − | 8.16634i | − | 0.308880i | ||||||
\(700\) | 4.39040 | + | 2.95370i | 0.165942 | + | 0.111640i | ||||
\(701\) | − | 3.06613i | − | 0.115806i | −0.998322 | − | 0.0579031i | \(-0.981559\pi\) | ||
0.998322 | − | 0.0579031i | \(-0.0184415\pi\) | |||||||
\(702\) | 73.4149 | + | 14.5858i | 2.77087 | + | 0.550507i | ||||
\(703\) | 29.8400 | 1.12544 | ||||||||
\(704\) | 10.2769 | + | 24.7156i | 0.387327 | + | 0.931503i | ||||
\(705\) | − | 1.62146i | − | 0.0610676i | ||||||
\(706\) | 5.33577 | + | 1.06009i | 0.200814 | + | 0.0398971i | ||||
\(707\) | −29.1260 | − | 5.90313i | −1.09540 | − | 0.222010i | ||||
\(708\) | −4.74426 | − | 1.96261i | −0.178300 | − | 0.0737596i | ||||
\(709\) | − | 38.5857i | − | 1.44912i | −0.689214 | − | 0.724558i | \(-0.742044\pi\) | ||
0.689214 | − | 0.724558i | \(-0.257956\pi\) | |||||||
\(710\) | −1.55218 | − | 0.308382i | −0.0582524 | − | 0.0115734i | ||||
\(711\) | 76.3026i | 2.86157i | ||||||||
\(712\) | 4.72262 | + | 3.15091i | 0.176988 | + | 0.118085i | ||||
\(713\) | − | 8.69328i | − | 0.325566i | ||||||
\(714\) | −13.5337 | + | 32.3624i | −0.506485 | + | 1.21113i | ||||
\(715\) | −13.0573 | −0.488317 | ||||||||
\(716\) | 27.0428 | + | 11.1871i | 1.01064 | + | 0.418083i | ||||
\(717\) | −26.0964 | −0.974589 | ||||||||
\(718\) | 38.3691 | + | 7.62305i | 1.43192 | + | 0.284490i | ||||
\(719\) | 31.4806 | 1.17403 | 0.587014 | − | 0.809577i | \(-0.300303\pi\) | ||||
0.587014 | + | 0.809577i | \(0.300303\pi\) | |||||||
\(720\) | −20.4922 | − | 20.4550i | −0.763698 | − | 0.762313i | ||||
\(721\) | −1.04651 | − | 0.212103i | −0.0389742 | − | 0.00789911i | ||||
\(722\) | 5.82972 | − | 29.3428i | 0.216960 | − | 1.09202i | ||||
\(723\) | 8.53548 | 0.317438 | ||||||||
\(724\) | −42.7622 | − | 17.6900i | −1.58925 | − | 0.657443i | ||||
\(725\) | − | 2.68130i | − | 0.0995810i | ||||||
\(726\) | −0.865133 | − | 0.171882i | −0.0321081 | − | 0.00637913i | ||||
\(727\) | −1.97285 | −0.0731689 | −0.0365844 | − | 0.999331i | \(-0.511648\pi\) | ||||
−0.0365844 | + | 0.999331i | \(0.511648\pi\) | |||||||
\(728\) | −20.7107 | + | 20.5894i | −0.767590 | + | 0.763095i | ||||
\(729\) | −26.7463 | −0.990603 | ||||||||
\(730\) | −8.20636 | − | 1.63041i | −0.303731 | − | 0.0603443i | ||||
\(731\) | 25.2688i | 0.934601i | ||||||||
\(732\) | −19.5029 | + | 47.1446i | −0.720847 | + | 1.74251i | ||||
\(733\) | 1.04466 | 0.0385855 | 0.0192928 | − | 0.999814i | \(-0.493859\pi\) | ||||
0.0192928 | + | 0.999814i | \(0.493859\pi\) | |||||||
\(734\) | −0.812236 | + | 4.08823i | −0.0299802 | + | 0.150899i | ||||
\(735\) | −8.72096 | + | 20.6308i | −0.321677 | + | 0.760980i | ||||
\(736\) | −10.8497 | − | 16.1980i | −0.399926 | − | 0.597065i | ||||
\(737\) | −21.3301 | −0.785704 | ||||||||
\(738\) | 56.1500 | + | 11.1557i | 2.06691 | + | 0.410646i | ||||
\(739\) | −33.3529 | −1.22691 | −0.613454 | − | 0.789730i | \(-0.710220\pi\) | ||||
−0.613454 | + | 0.789730i | \(0.710220\pi\) | |||||||
\(740\) | −3.60021 | + | 8.70283i | −0.132346 | + | 0.319922i | ||||
\(741\) | −79.1275 | −2.90682 | ||||||||
\(742\) | 39.3992 | + | 16.4764i | 1.44639 | + | 0.604868i | ||||
\(743\) | − | 2.33616i | − | 0.0857054i | −0.999081 | − | 0.0428527i | \(-0.986355\pi\) | ||
0.999081 | − | 0.0428527i | \(-0.0136446\pi\) | |||||||
\(744\) | −18.9899 | − | 12.6699i | −0.696202 | − | 0.464503i | ||||
\(745\) | 11.5613i | 0.423572i | ||||||||
\(746\) | −17.5118 | − | 3.47918i | −0.641151 | − | 0.127382i | ||||
\(747\) | − | 31.0721i | − | 1.13687i | ||||||
\(748\) | −7.49481 | + | 18.1173i | −0.274037 | + | 0.662435i | ||||
\(749\) | −46.4334 | − | 9.41091i | −1.69664 | − | 0.343867i | ||||
\(750\) | −4.43840 | − | 0.881807i | −0.162068 | − | 0.0321990i | ||||
\(751\) | − | 22.6980i | − | 0.828261i | −0.910218 | − | 0.414130i | \(-0.864086\pi\) | ||
0.910218 | − | 0.414130i | \(-0.135914\pi\) | |||||||
\(752\) | −1.43458 | − | 1.43198i | −0.0523138 | − | 0.0522190i | ||||
\(753\) | −27.2698 | −0.993768 | ||||||||
\(754\) | 14.5144 | + | 2.88367i | 0.528583 | + | 0.105017i | ||||
\(755\) | 0.509248i | 0.0185334i | ||||||||
\(756\) | 40.0588 | − | 59.5437i | 1.45693 | − | 2.16558i | ||||
\(757\) | − | 0.859830i | − | 0.0312510i | −0.999878 | − | 0.0156255i | \(-0.995026\pi\) | ||
0.999878 | − | 0.0156255i | \(-0.00497396\pi\) | |||||||
\(758\) | 5.78402 | − | 29.1128i | 0.210085 | − | 1.05742i | ||||
\(759\) | 36.8976 | 1.33930 | ||||||||
\(760\) | 14.9092 | + | 9.94731i | 0.540812 | + | 0.360827i | ||||
\(761\) | − | 9.59745i | − | 0.347907i | −0.984754 | − | 0.173954i | \(-0.944346\pi\) | ||
0.984754 | − | 0.173954i | \(-0.0556543\pi\) | |||||||
\(762\) | 5.17974 | − | 26.0712i | 0.187642 | − | 0.944460i | ||||
\(763\) | −7.57108 | + | 37.3557i | −0.274091 | + | 1.35237i | ||||
\(764\) | −1.84675 | + | 4.46417i | −0.0668130 | + | 0.161508i | ||||
\(765\) | − | 21.2083i | − | 0.766787i | ||||||
\(766\) | 3.14820 | − | 15.8458i | 0.113749 | − | 0.572533i | ||||
\(767\) | − | 3.13089i | − | 0.113050i | ||||||
\(768\) | −51.1962 | + | 0.0928907i | −1.84738 | + | 0.00335191i | ||||
\(769\) | − | 46.0671i | − | 1.66122i | −0.556854 | − | 0.830610i | \(-0.687992\pi\) | ||
0.556854 | − | 0.830610i | \(-0.312008\pi\) | |||||||
\(770\) | −4.83005 | + | 11.5499i | −0.174063 | + | 0.416228i | ||||
\(771\) | −45.2682 | −1.63029 | ||||||||
\(772\) | 13.6492 | + | 5.64642i | 0.491244 | + | 0.203219i | ||||
\(773\) | −7.98484 | −0.287195 | −0.143597 | − | 0.989636i | \(-0.545867\pi\) | ||||
−0.143597 | + | 0.989636i | \(0.545867\pi\) | |||||||
\(774\) | 17.2041 | − | 86.5937i | 0.618390 | − | 3.11254i | ||||
\(775\) | −2.52241 | −0.0906075 | ||||||||
\(776\) | −14.2793 | − | 9.52710i | −0.512598 | − | 0.342003i | ||||
\(777\) | −39.0715 | − | 7.91882i | −1.40168 | − | 0.284086i | ||||
\(778\) | 31.6212 | + | 6.28240i | 1.13368 | + | 0.225235i | ||||
\(779\) | −35.4370 | −1.26966 | ||||||||
\(780\) | 9.54677 | − | 23.0776i | 0.341829 | − | 0.826309i | ||||
\(781\) | − | 3.74408i | − | 0.133974i | ||||||
\(782\) | 2.78279 | − | 14.0066i | 0.0995124 | − | 0.500876i | ||||
\(783\) | −36.3644 | −1.29956 | ||||||||
\(784\) | 10.5513 | + | 25.9359i | 0.376831 | + | 0.926282i | ||||
\(785\) | 9.98993 | 0.356556 | ||||||||
\(786\) | 3.94767 | − | 19.8698i | 0.140809 | − | 0.708733i | ||||
\(787\) | − | 56.0482i | − | 1.99790i | −0.0457828 | − | 0.998951i | \(-0.514578\pi\) | ||
0.0457828 | − | 0.998951i | \(-0.485422\pi\) | |||||||
\(788\) | 16.0020 | − | 38.6818i | 0.570047 | − | 1.37798i | ||||
\(789\) | 99.6465 | 3.54751 | ||||||||
\(790\) | 14.6217 | + | 2.90500i | 0.520218 | + | 0.103355i | ||||
\(791\) | 17.7858 | + | 3.60475i | 0.632391 | + | 0.128170i | ||||
\(792\) | 38.0190 | − | 56.9834i | 1.35095 | − | 2.02482i | ||||
\(793\) | −31.1122 | −1.10483 | ||||||||
\(794\) | 8.23388 | − | 41.4436i | 0.292210 | − | 1.47078i | ||||
\(795\) | −36.5207 | −1.29526 | ||||||||
\(796\) | 9.04914 | + | 3.74347i | 0.320738 | + | 0.132684i | ||||
\(797\) | −23.7352 | −0.840744 | −0.420372 | − | 0.907352i | \(-0.638100\pi\) | ||||
−0.420372 | + | 0.907352i | \(0.638100\pi\) | |||||||
\(798\) | −29.2701 | + | 69.9921i | −1.03615 | + | 2.47770i | ||||
\(799\) | − | 1.48472i | − | 0.0525255i | ||||||
\(800\) | −4.69994 | + | 3.14811i | −0.166168 | + | 0.111303i | ||||
\(801\) | − | 14.5292i | − | 0.513366i | ||||||
\(802\) | 4.64076 | − | 23.3584i | 0.163871 | − | 0.824812i | ||||
\(803\) | − | 19.7949i | − | 0.698546i | ||||||
\(804\) | 15.5953 | − | 37.6988i | 0.550004 | − | 1.32953i | ||||
\(805\) | 1.81124 | − | 8.93668i | 0.0638380 | − | 0.314977i | ||||
\(806\) | 2.71278 | − | 13.6542i | 0.0955536 | − | 0.480950i | ||||
\(807\) | − | 4.46582i | − | 0.157204i | ||||||
\(808\) | 17.6326 | − | 26.4279i | 0.620311 | − | 0.929730i | ||||
\(809\) | 22.4179 | 0.788172 | 0.394086 | − | 0.919074i | \(-0.371061\pi\) | ||||
0.394086 | + | 0.919074i | \(0.371061\pi\) | |||||||
\(810\) | −5.97481 | + | 30.0730i | −0.209933 | + | 1.05666i | ||||
\(811\) | 17.3731i | 0.610054i | 0.952344 | + | 0.305027i | \(0.0986655\pi\) | ||||
−0.952344 | + | 0.305027i | \(0.901335\pi\) | |||||||
\(812\) | 7.91977 | − | 11.7720i | 0.277929 | − | 0.413116i | ||||
\(813\) | − | 71.8870i | − | 2.52119i | ||||||
\(814\) | −21.8551 | − | 4.34210i | −0.766021 | − | 0.152190i | ||||
\(815\) | 19.7736 | 0.692638 | ||||||||
\(816\) | −26.5408 | − | 26.4927i | −0.929113 | − | 0.927428i | ||||
\(817\) | 54.6503i | 1.91197i | ||||||||
\(818\) | 37.4178 | + | 7.43405i | 1.30828 | + | 0.259925i | ||||
\(819\) | 73.2489 | + | 14.8457i | 2.55952 | + | 0.518752i | ||||
\(820\) | 4.27549 | − | 10.3352i | 0.149307 | − | 0.360921i | ||||
\(821\) | 32.6279i | 1.13872i | 0.822088 | + | 0.569361i | \(0.192809\pi\) | ||||
−0.822088 | + | 0.569361i | \(0.807191\pi\) | |||||||
\(822\) | −35.0807 | − | 6.96972i | −1.22358 | − | 0.243097i | ||||
\(823\) | 6.06037i | 0.211251i | 0.994406 | + | 0.105626i | \(0.0336845\pi\) | ||||
−0.994406 | + | 0.105626i | \(0.966315\pi\) | |||||||
\(824\) | 0.633547 | − | 0.949569i | 0.0220707 | − | 0.0330798i | ||||
\(825\) | − | 10.7060i | − | 0.372736i | ||||||
\(826\) | −2.76942 | − | 1.15815i | −0.0963606 | − | 0.0402971i | ||||
\(827\) | 21.7214 | 0.755328 | 0.377664 | − | 0.925943i | \(-0.376727\pi\) | ||||
0.377664 | + | 0.925943i | \(0.376727\pi\) | |||||||
\(828\) | −19.0727 | + | 46.1047i | −0.662821 | + | 1.60225i | ||||
\(829\) | −4.44507 | −0.154384 | −0.0771919 | − | 0.997016i | \(-0.524595\pi\) | ||||
−0.0771919 | + | 0.997016i | \(0.524595\pi\) | |||||||
\(830\) | −5.95429 | − | 1.18298i | −0.206676 | − | 0.0410618i | ||||
\(831\) | 38.6622 | 1.34118 | ||||||||
\(832\) | −11.9867 | − | 28.8273i | −0.415563 | − | 0.999408i | ||||
\(833\) | −7.98550 | + | 18.8910i | −0.276681 | + | 0.654535i | ||||
\(834\) | −8.64279 | + | 43.5018i | −0.299275 | + | 1.50634i | ||||
\(835\) | −20.6423 | −0.714355 | ||||||||
\(836\) | −16.2095 | + | 39.1834i | −0.560616 | + | 1.35519i | ||||
\(837\) | 34.2095i | 1.18245i | ||||||||
\(838\) | 20.8723 | + | 4.14684i | 0.721022 | + | 0.143250i | ||||
\(839\) | 9.23265 | 0.318746 | 0.159373 | − | 0.987218i | \(-0.449053\pi\) | ||||
0.159373 | + | 0.987218i | \(0.449053\pi\) | |||||||
\(840\) | −16.8818 | − | 16.9812i | −0.582477 | − | 0.585908i | ||||
\(841\) | 21.8106 | 0.752091 | ||||||||
\(842\) | −38.1810 | − | 7.58567i | −1.31580 | − | 0.261419i | ||||
\(843\) | − | 18.7152i | − | 0.644586i | ||||||
\(844\) | −4.16650 | − | 1.72361i | −0.143417 | − | 0.0593290i | ||||
\(845\) | 2.22962 | 0.0767012 | ||||||||
\(846\) | −1.01086 | + | 5.08797i | −0.0347541 | + | 0.174928i | ||||
\(847\) | −0.505433 | − | 0.102439i | −0.0173669 | − | 0.00351984i | ||||
\(848\) | −32.2531 | + | 32.3117i | −1.10758 | + | 1.10959i | ||||
\(849\) | −32.5750 | −1.11797 | ||||||||
\(850\) | −4.06411 | − | 0.807443i | −0.139398 | − | 0.0276951i | ||||
\(851\) | 16.2294 | 0.556337 | ||||||||
\(852\) | 6.61728 | + | 2.73745i | 0.226704 | + | 0.0937836i | ||||
\(853\) | 5.33487 | 0.182662 | 0.0913312 | − | 0.995821i | \(-0.470888\pi\) | ||||
0.0913312 | + | 0.995821i | \(0.470888\pi\) | |||||||
\(854\) | −11.5087 | + | 27.5203i | −0.393821 | + | 0.941726i | ||||
\(855\) | − | 45.8684i | − | 1.56867i | ||||||
\(856\) | 28.1102 | − | 42.1320i | 0.960788 | − | 1.44004i | ||||
\(857\) | 3.81449i | 0.130301i | 0.997875 | + | 0.0651503i | \(0.0207527\pi\) | ||||
−0.997875 | + | 0.0651503i | \(0.979247\pi\) | |||||||
\(858\) | 57.9538 | + | 11.5141i | 1.97851 | + | 0.393084i | ||||
\(859\) | 40.9650i | 1.39771i | 0.715264 | + | 0.698854i | \(0.246306\pi\) | ||||
−0.715264 | + | 0.698854i | \(0.753694\pi\) | |||||||
\(860\) | −15.9388 | − | 6.59360i | −0.543508 | − | 0.224840i | ||||
\(861\) | 46.4000 | + | 9.40413i | 1.58131 | + | 0.320492i | ||||
\(862\) | 31.3177 | + | 6.22209i | 1.06668 | + | 0.211925i | ||||
\(863\) | − | 20.2817i | − | 0.690399i | −0.938529 | − | 0.345199i | \(-0.887811\pi\) | ||
0.938529 | − | 0.345199i | \(-0.112189\pi\) | |||||||
\(864\) | 42.6954 | + | 63.7416i | 1.45253 | + | 2.16853i | ||||
\(865\) | 12.1166 | 0.411975 | ||||||||
\(866\) | −32.5605 | − | 6.46900i | −1.10645 | − | 0.219826i | ||||
\(867\) | 26.9278i | 0.914515i | ||||||||
\(868\) | −11.0744 | − | 7.45044i | −0.375889 | − | 0.252884i | ||||
\(869\) | 35.2696i | 1.19644i | ||||||||
\(870\) | −2.36439 | + | 11.9007i | −0.0801603 | + | 0.403471i | ||||
\(871\) | 24.8786 | 0.842980 | ||||||||
\(872\) | −33.8952 | − | 22.6147i | −1.14784 | − | 0.765830i | ||||
\(873\) | 43.9307i | 1.48683i | ||||||||
\(874\) | 6.01850 | − | 30.2930i | 0.203579 | − | 1.02467i | ||||
\(875\) | −2.59303 | − | 0.525543i | −0.0876604 | − | 0.0177666i | ||||
\(876\) | 34.9855 | + | 14.4729i | 1.18205 | + | 0.488993i | ||||
\(877\) | 42.3958i | 1.43160i | 0.698304 | + | 0.715802i | \(0.253938\pi\) | ||||
−0.698304 | + | 0.715802i | \(0.746062\pi\) | |||||||
\(878\) | 3.40307 | − | 17.1287i | 0.114848 | − | 0.578065i | ||||
\(879\) | − | 98.1791i | − | 3.31150i | ||||||
\(880\) | −9.47216 | − | 9.45499i | −0.319307 | − | 0.318728i | ||||
\(881\) | − | 18.8445i | − | 0.634887i | −0.948277 | − | 0.317443i | \(-0.897176\pi\) | ||
0.948277 | − | 0.317443i | \(-0.102824\pi\) | |||||||
\(882\) | 40.2273 | − | 59.3007i | 1.35452 | − | 1.99676i | ||||
\(883\) | 36.2096 | 1.21855 | 0.609274 | − | 0.792959i | \(-0.291461\pi\) | ||||
0.609274 | + | 0.792959i | \(0.291461\pi\) | |||||||
\(884\) | 8.74168 | − | 21.1314i | 0.294014 | − | 0.710725i | ||||
\(885\) | 2.56709 | 0.0862918 | ||||||||
\(886\) | −6.86852 | + | 34.5714i | −0.230753 | + | 1.16145i | ||||
\(887\) | 21.5740 | 0.724385 | 0.362193 | − | 0.932103i | \(-0.382028\pi\) | ||||
0.362193 | + | 0.932103i | \(0.382028\pi\) | |||||||
\(888\) | 23.6534 | − | 35.4520i | 0.793756 | − | 1.18969i | ||||
\(889\) | 3.08704 | − | 15.2315i | 0.103536 | − | 0.510847i | ||||
\(890\) | −2.78421 | − | 0.553158i | −0.0933271 | − | 0.0185419i | ||||
\(891\) | −72.5403 | −2.43019 | ||||||||
\(892\) | −45.2453 | − | 18.7172i | −1.51492 | − | 0.626698i | ||||
\(893\) | − | 3.21108i | − | 0.107455i | ||||||
\(894\) | 10.1948 | − | 51.3135i | 0.340965 | − | 1.71618i | ||||
\(895\) | −14.6327 | −0.489118 | ||||||||
\(896\) | −29.9332 | − | 0.0607475i | −0.999998 | − | 0.00202943i | ||||
\(897\) | −43.0360 | −1.43693 | ||||||||
\(898\) | −9.29714 | + | 46.7953i | −0.310250 | + | 1.56158i | ||||
\(899\) | 6.76332i | 0.225570i | ||||||||
\(900\) | 13.3775 | + | 5.53405i | 0.445918 | + | 0.184468i | ||||
\(901\) | −33.4409 | −1.11408 | ||||||||
\(902\) | 25.9544 | + | 5.15653i | 0.864187 | + | 0.171694i | ||||
\(903\) | 14.5029 | − | 71.5574i | 0.482627 | − | 2.38128i | ||||
\(904\) | −10.7673 | + | 16.1382i | −0.358116 | + | 0.536749i | ||||
\(905\) | 23.1384 | 0.769147 | ||||||||
\(906\) | 0.449058 | − | 2.26025i | 0.0149190 | − | 0.0750917i | ||||
\(907\) | −35.3694 | −1.17442 | −0.587210 | − | 0.809435i | \(-0.699774\pi\) | ||||
−0.587210 | + | 0.809435i | \(0.699774\pi\) | |||||||
\(908\) | −3.94633 | + | 9.53952i | −0.130964 | + | 0.316580i | ||||
\(909\) | −81.3061 | −2.69675 | ||||||||
\(910\) | 5.63360 | − | 13.4713i | 0.186752 | − | 0.446571i | ||||
\(911\) | − | 59.3513i | − | 1.96640i | −0.182540 | − | 0.983199i | \(-0.558432\pi\) | ||
0.182540 | − | 0.983199i | \(-0.441568\pi\) | |||||||
\(912\) | −57.4013 | − | 57.2972i | −1.90075 | − | 1.89730i | ||||
\(913\) | − | 14.3626i | − | 0.475331i | ||||||
\(914\) | 6.35764 | − | 32.0000i | 0.210292 | − | 1.05846i | ||||
\(915\) | − | 25.5097i | − | 0.843324i | ||||||
\(916\) | −17.5384 | − | 7.25534i | −0.579486 | − | 0.239723i | ||||
\(917\) | 2.35275 | − | 11.6085i | 0.0776946 | − | 0.383345i | ||||
\(918\) | −10.9507 | + | 55.1184i | −0.361428 | + | 1.81918i | ||||
\(919\) | 54.6687i | 1.80335i | 0.432411 | + | 0.901677i | \(0.357663\pi\) | ||||
−0.432411 | + | 0.901677i | \(0.642337\pi\) | |||||||
\(920\) | 8.10882 | + | 5.41016i | 0.267340 | + | 0.178368i | ||||
\(921\) | 82.7563 | 2.72691 | ||||||||
\(922\) | −1.35288 | + | 6.80943i | −0.0445546 | + | 0.224257i | ||||
\(923\) | 4.36696i | 0.143740i | ||||||||
\(924\) | 31.6225 | − | 47.0038i | 1.04030 | − | 1.54631i | ||||
\(925\) | − | 4.70905i | − | 0.154833i | ||||||
\(926\) | −42.9765 | − | 8.53842i | −1.41229 | − | 0.280590i | ||||
\(927\) | −2.92137 | −0.0959504 | ||||||||
\(928\) | 8.44103 | + | 12.6019i | 0.277090 | + | 0.413679i | ||||
\(929\) | 37.8759i | 1.24267i | 0.783546 | + | 0.621334i | \(0.213409\pi\) | ||||
−0.783546 | + | 0.621334i | \(0.786591\pi\) | |||||||
\(930\) | 11.1955 | + | 2.22427i | 0.367113 | + | 0.0729368i | ||||
\(931\) | −17.2707 | + | 40.8567i | −0.566025 | + | 1.33902i | ||||
\(932\) | 4.71668 | + | 1.95121i | 0.154500 | + | 0.0639139i | ||||
\(933\) | 34.6361i | 1.13394i | ||||||||
\(934\) | −28.4192 | − | 5.64622i | −0.929903 | − | 0.184750i | ||||
\(935\) | − | 9.80318i | − | 0.320598i | ||||||
\(936\) | −44.3440 | + | 66.4633i | −1.44943 | + | 2.17242i | ||||
\(937\) | 55.9352i | 1.82732i | 0.406476 | + | 0.913661i | \(0.366757\pi\) | ||||
−0.406476 | + | 0.913661i | \(0.633243\pi\) | |||||||
\(938\) | 9.20287 | − | 22.0064i | 0.300484 | − | 0.718534i | ||||
\(939\) | 89.2731 | 2.91332 | ||||||||
\(940\) | 0.936513 | + | 0.387419i | 0.0305457 | + | 0.0126362i | ||||
\(941\) | 60.3400 | 1.96703 | 0.983514 | − | 0.180831i | \(-0.0578787\pi\) | ||||
0.983514 | + | 0.180831i | \(0.0578787\pi\) | |||||||
\(942\) | −44.3394 | − | 8.80919i | −1.44465 | − | 0.287019i | ||||
\(943\) | −19.2735 | −0.627632 | ||||||||
\(944\) | 2.26712 | − | 2.27123i | 0.0737883 | − | 0.0739223i | ||||
\(945\) | −7.12754 | + | 35.1673i | −0.231859 | + | 1.14399i | ||||
\(946\) | 7.95233 | − | 40.0265i | 0.258552 | − | 1.30137i | ||||
\(947\) | 22.0376 | 0.716126 | 0.358063 | − | 0.933697i | \(-0.383437\pi\) | ||||
0.358063 | + | 0.933697i | \(0.383437\pi\) | |||||||
\(948\) | −62.3355 | − | 25.7871i | −2.02456 | − | 0.837526i | ||||
\(949\) | 23.0880i | 0.749469i | ||||||||
\(950\) | −8.78968 | − | 1.74630i | −0.285175 | − | 0.0566576i | ||||
\(951\) | −23.9881 | −0.777867 | ||||||||
\(952\) | −15.4581 | − | 15.5492i | −0.501000 | − | 0.503951i | ||||
\(953\) | 21.2857 | 0.689511 | 0.344756 | − | 0.938693i | \(-0.387962\pi\) | ||||
0.344756 | + | 0.938693i | \(0.387962\pi\) | |||||||
\(954\) | 114.598 | + | 22.7680i | 3.71026 | + | 0.737142i | ||||
\(955\) | − | 2.41554i | − | 0.0781650i | ||||||
\(956\) | 6.23529 | − | 15.0726i | 0.201664 | − | 0.487484i | ||||
\(957\) | −28.7061 | −0.927937 | ||||||||
\(958\) | 9.69244 | − | 48.7850i | 0.313148 | − | 1.57617i | ||||
\(959\) | −20.4951 | − | 4.15384i | −0.661820 | − | 0.134134i | ||||
\(960\) | 23.6362 | − | 9.82816i | 0.762856 | − | 0.317202i | ||||
\(961\) | −24.6375 | −0.794757 | ||||||||
\(962\) | 25.4910 | + | 5.06446i | 0.821863 | + | 0.163285i | ||||
\(963\) | −129.620 | −4.17695 | ||||||||
\(964\) | −2.03941 | + | 4.92988i | −0.0656848 | + | 0.158781i | ||||
\(965\) | −7.38549 | −0.237747 | ||||||||
\(966\) | −15.9195 | + | 38.0674i | −0.512200 | + | 1.22480i | ||||
\(967\) | 29.9897i | 0.964405i | 0.876060 | + | 0.482203i | \(0.160163\pi\) | ||||
−0.876060 | + | 0.482203i | \(0.839837\pi\) | |||||||
\(968\) | 0.305983 | − | 0.458611i | 0.00983467 | − | 0.0147403i | ||||
\(969\) | − | 59.4072i | − | 1.90843i | ||||||
\(970\) | 8.41837 | + | 1.67253i | 0.270297 | + | 0.0537018i | ||||
\(971\) | − | 9.10304i | − | 0.292130i | −0.989275 | − | 0.146065i | \(-0.953339\pi\) | ||
0.989275 | − | 0.146065i | \(-0.0466609\pi\) | |||||||
\(972\) | 21.9311 | − | 53.0143i | 0.703440 | − | 1.70043i | ||||
\(973\) | −5.15097 | + | 25.4149i | −0.165132 | + | 0.814764i | ||||
\(974\) | −10.9162 | − | 2.16879i | −0.349777 | − | 0.0694925i | ||||
\(975\) | 12.4871i | 0.399908i | ||||||||
\(976\) | −22.5697 | − | 22.5288i | −0.722438 | − | 0.721128i | ||||
\(977\) | −38.3437 | −1.22672 | −0.613362 | − | 0.789802i | \(-0.710183\pi\) | ||||
−0.613362 | + | 0.789802i | \(0.710183\pi\) | |||||||
\(978\) | −87.7631 | − | 17.4365i | −2.80635 | − | 0.557557i | ||||
\(979\) | − | 6.71591i | − | 0.214641i | ||||||
\(980\) | −9.83214 | − | 9.96639i | −0.314076 | − | 0.318365i | ||||
\(981\) | 104.279i | 3.32938i | ||||||||
\(982\) | −0.796419 | + | 4.00862i | −0.0254147 | + | 0.127920i | ||||
\(983\) | 11.4686 | 0.365792 | 0.182896 | − | 0.983132i | \(-0.441453\pi\) | ||||
0.182896 | + | 0.983132i | \(0.441453\pi\) | |||||||
\(984\) | −28.0900 | + | 42.1016i | −0.895476 | + | 1.34215i | ||||
\(985\) | 20.9305i | 0.666902i | ||||||||
\(986\) | −2.16500 | + | 10.8971i | −0.0689475 | + | 0.347034i | ||||
\(987\) | −0.852145 | + | 4.20448i | −0.0271241 | + | 0.133830i | ||||
\(988\) | 18.9061 | − | 45.7021i | 0.601484 | − | 1.45398i | ||||
\(989\) | 29.7233i | 0.945147i | ||||||||
\(990\) | −6.67444 | + | 33.5945i | −0.212128 | + | 1.06770i | ||||
\(991\) | 27.8094i | 0.883395i | 0.897164 | + | 0.441697i | \(0.145624\pi\) | ||||
−0.897164 | + | 0.441697i | \(0.854376\pi\) | |||||||
\(992\) | 11.8551 | − | 7.94081i | 0.376401 | − | 0.252121i | ||||
\(993\) | 39.4945i | 1.25332i | ||||||||
\(994\) | 3.86279 | + | 1.61538i | 0.122520 | + | 0.0512369i | ||||
\(995\) | −4.89644 | −0.155228 | ||||||||
\(996\) | 25.3844 | + | 10.5011i | 0.804335 | + | 0.332739i | ||||
\(997\) | 51.3033 | 1.62479 | 0.812395 | − | 0.583107i | \(-0.198163\pi\) | ||||
0.812395 | + | 0.583107i | \(0.198163\pi\) | |||||||
\(998\) | −4.55083 | + | 22.9057i | −0.144054 | + | 0.725068i | ||||
\(999\) | −63.8653 | −2.02061 |
(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 | 280.2.h.b.251.8 | yes | 16 | |
4.3 | odd | 2 | 1120.2.h.b.111.1 | 16 | |||
7.6 | odd | 2 | 280.2.h.a.251.8 | yes | 16 | ||
8.3 | odd | 2 | 280.2.h.a.251.7 | ✓ | 16 | ||
8.5 | even | 2 | 1120.2.h.a.111.1 | 16 | |||
28.27 | even | 2 | 1120.2.h.a.111.16 | 16 | |||
56.13 | odd | 2 | 1120.2.h.b.111.16 | 16 | |||
56.27 | even | 2 | inner | 280.2.h.b.251.7 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.h.a.251.7 | ✓ | 16 | 8.3 | odd | 2 | ||
280.2.h.a.251.8 | yes | 16 | 7.6 | odd | 2 | ||
280.2.h.b.251.7 | yes | 16 | 56.27 | even | 2 | inner | |
280.2.h.b.251.8 | yes | 16 | 1.1 | even | 1 | trivial | |
1120.2.h.a.111.1 | 16 | 8.5 | even | 2 | |||
1120.2.h.a.111.16 | 16 | 28.27 | even | 2 | |||
1120.2.h.b.111.1 | 16 | 4.3 | odd | 2 | |||
1120.2.h.b.111.16 | 16 | 56.13 | odd | 2 |