Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [555,2,Mod(184,555)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(555, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("555.184");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 555 = 3 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 555.g (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: | \(4.43169731218\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 184.13 | ||
Character | \(\chi\) | \(=\) | 555.184 |
Dual form | 555.2.g.a.184.14 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/555\mathbb{Z}\right)^\times\).
\(n\) | \(76\) | \(112\) | \(371\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39280 | −0.984860 | −0.492430 | − | 0.870352i | \(-0.663891\pi\) | ||||
−0.492430 | + | 0.870352i | \(0.663891\pi\) | |||||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | −0.0601015 | −0.0300507 | ||||||||
\(5\) | 2.20287 | + | 0.383884i | 0.985153 | + | 0.171678i | ||||
\(6\) | 1.39280i | 0.568609i | ||||||||
\(7\) | − | 0.344118i | − | 0.130064i | −0.997883 | − | 0.0650322i | \(-0.979285\pi\) | ||
0.997883 | − | 0.0650322i | \(-0.0207150\pi\) | |||||||
\(8\) | 2.86931 | 1.01446 | ||||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | −3.06816 | − | 0.534675i | −0.970238 | − | 0.169079i | ||||
\(11\) | −1.00065 | −0.301709 | −0.150854 | − | 0.988556i | \(-0.548202\pi\) | ||||
−0.150854 | + | 0.988556i | \(0.548202\pi\) | |||||||
\(12\) | 0.0601015i | 0.0173498i | ||||||||
\(13\) | 4.37110 | 1.21233 | 0.606163 | − | 0.795340i | \(-0.292708\pi\) | ||||
0.606163 | + | 0.795340i | \(0.292708\pi\) | |||||||
\(14\) | 0.479288i | 0.128095i | ||||||||
\(15\) | 0.383884 | − | 2.20287i | 0.0991185 | − | 0.568778i | ||||
\(16\) | −3.87618 | −0.969046 | ||||||||
\(17\) | −0.428787 | −0.103996 | −0.0519980 | − | 0.998647i | \(-0.516559\pi\) | ||||
−0.0519980 | + | 0.998647i | \(0.516559\pi\) | |||||||
\(18\) | 1.39280 | 0.328287 | ||||||||
\(19\) | 5.70197i | 1.30812i | 0.756442 | + | 0.654061i | \(0.226936\pi\) | ||||
−0.756442 | + | 0.654061i | \(0.773064\pi\) | |||||||
\(20\) | −0.132396 | − | 0.0230720i | −0.0296046 | − | 0.00515906i | ||||
\(21\) | −0.344118 | −0.0750927 | ||||||||
\(22\) | 1.39371 | 0.297141 | ||||||||
\(23\) | 2.35097 | 0.490211 | 0.245105 | − | 0.969496i | \(-0.421177\pi\) | ||||
0.245105 | + | 0.969496i | \(0.421177\pi\) | |||||||
\(24\) | − | 2.86931i | − | 0.585696i | ||||||
\(25\) | 4.70527 | + | 1.69129i | 0.941053 | + | 0.338259i | ||||
\(26\) | −6.08808 | −1.19397 | ||||||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | 0.0206820i | 0.00390853i | ||||||||
\(29\) | − | 7.62547i | − | 1.41601i | −0.706206 | − | 0.708007i | \(-0.749595\pi\) | ||
0.706206 | − | 0.708007i | \(-0.250405\pi\) | |||||||
\(30\) | −0.534675 | + | 3.06816i | −0.0976179 | + | 0.560167i | ||||
\(31\) | 4.55060i | 0.817311i | 0.912689 | + | 0.408656i | \(0.134002\pi\) | ||||
−0.912689 | + | 0.408656i | \(0.865998\pi\) | |||||||
\(32\) | −0.339869 | −0.0600809 | ||||||||
\(33\) | 1.00065i | 0.174192i | ||||||||
\(34\) | 0.597215 | 0.102422 | ||||||||
\(35\) | 0.132101 | − | 0.758047i | 0.0223292 | − | 0.128133i | ||||
\(36\) | 0.0601015 | 0.0100169 | ||||||||
\(37\) | 1.95109 | − | 5.76136i | 0.320757 | − | 0.947162i | ||||
\(38\) | − | 7.94172i | − | 1.28832i | ||||||
\(39\) | − | 4.37110i | − | 0.699937i | ||||||
\(40\) | 6.32072 | + | 1.10148i | 0.999394 | + | 0.174160i | ||||
\(41\) | 2.50995 | 0.391988 | 0.195994 | − | 0.980605i | \(-0.437207\pi\) | ||||
0.195994 | + | 0.980605i | \(0.437207\pi\) | |||||||
\(42\) | 0.479288 | 0.0739558 | ||||||||
\(43\) | 8.58272 | 1.30885 | 0.654426 | − | 0.756126i | \(-0.272910\pi\) | ||||
0.654426 | + | 0.756126i | \(0.272910\pi\) | |||||||
\(44\) | 0.0601408 | 0.00906657 | ||||||||
\(45\) | −2.20287 | − | 0.383884i | −0.328384 | − | 0.0572261i | ||||
\(46\) | −3.27443 | −0.482789 | ||||||||
\(47\) | − | 7.01935i | − | 1.02388i | −0.859022 | − | 0.511939i | \(-0.828928\pi\) | ||
0.859022 | − | 0.511939i | \(-0.171072\pi\) | |||||||
\(48\) | 3.87618i | 0.559479i | ||||||||
\(49\) | 6.88158 | 0.983083 | ||||||||
\(50\) | −6.55351 | − | 2.35564i | −0.926806 | − | 0.333138i | ||||
\(51\) | 0.428787i | 0.0600421i | ||||||||
\(52\) | −0.262710 | −0.0364313 | ||||||||
\(53\) | − | 7.41870i | − | 1.01904i | −0.860460 | − | 0.509518i | \(-0.829824\pi\) | ||
0.860460 | − | 0.509518i | \(-0.170176\pi\) | |||||||
\(54\) | − | 1.39280i | − | 0.189536i | ||||||
\(55\) | −2.20431 | − | 0.384136i | −0.297229 | − | 0.0517968i | ||||
\(56\) | − | 0.987382i | − | 0.131944i | ||||||
\(57\) | 5.70197 | 0.755245 | ||||||||
\(58\) | 10.6208i | 1.39457i | ||||||||
\(59\) | − | 3.94753i | − | 0.513924i | −0.966422 | − | 0.256962i | \(-0.917278\pi\) | ||
0.966422 | − | 0.256962i | \(-0.0827215\pi\) | |||||||
\(60\) | −0.0230720 | + | 0.132396i | −0.00297858 | + | 0.0170922i | ||||
\(61\) | − | 2.18574i | − | 0.279855i | −0.990162 | − | 0.139927i | \(-0.955313\pi\) | ||
0.990162 | − | 0.139927i | \(-0.0446869\pi\) | |||||||
\(62\) | − | 6.33808i | − | 0.804937i | ||||||
\(63\) | 0.344118i | 0.0433548i | ||||||||
\(64\) | 8.22574 | 1.02822 | ||||||||
\(65\) | 9.62897 | + | 1.67800i | 1.19433 | + | 0.208130i | ||||
\(66\) | − | 1.39371i | − | 0.171554i | ||||||
\(67\) | 10.2635i | 1.25389i | 0.779064 | + | 0.626944i | \(0.215695\pi\) | ||||
−0.779064 | + | 0.626944i | \(0.784305\pi\) | |||||||
\(68\) | 0.0257707 | 0.00312516 | ||||||||
\(69\) | − | 2.35097i | − | 0.283023i | ||||||
\(70\) | −0.183991 | + | 1.05581i | −0.0219912 | + | 0.126193i | ||||
\(71\) | 1.92267 | 0.228179 | 0.114090 | − | 0.993470i | \(-0.463605\pi\) | ||||
0.114090 | + | 0.993470i | \(0.463605\pi\) | |||||||
\(72\) | −2.86931 | −0.338152 | ||||||||
\(73\) | − | 9.22636i | − | 1.07986i | −0.841709 | − | 0.539932i | \(-0.818450\pi\) | ||
0.841709 | − | 0.539932i | \(-0.181550\pi\) | |||||||
\(74\) | −2.71748 | + | 8.02444i | −0.315900 | + | 0.932822i | ||||
\(75\) | 1.69129 | − | 4.70527i | 0.195294 | − | 0.543317i | ||||
\(76\) | − | 0.342697i | − | 0.0393101i | ||||||
\(77\) | 0.344343i | 0.0392415i | ||||||||
\(78\) | 6.08808i | 0.689340i | ||||||||
\(79\) | 14.3679i | 1.61652i | 0.588828 | + | 0.808258i | \(0.299589\pi\) | ||||
−0.588828 | + | 0.808258i | \(0.700411\pi\) | |||||||
\(80\) | −8.53873 | − | 1.48801i | −0.954659 | − | 0.166364i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −3.49587 | −0.386054 | ||||||||
\(83\) | 0.402746i | 0.0442071i | 0.999756 | + | 0.0221035i | \(0.00703635\pi\) | ||||
−0.999756 | + | 0.0221035i | \(0.992964\pi\) | |||||||
\(84\) | 0.0206820 | 0.00225659 | ||||||||
\(85\) | −0.944561 | − | 0.164604i | −0.102452 | − | 0.0178539i | ||||
\(86\) | −11.9540 | −1.28904 | ||||||||
\(87\) | −7.62547 | −0.817536 | ||||||||
\(88\) | −2.87119 | −0.306070 | ||||||||
\(89\) | − | 7.34498i | − | 0.778566i | −0.921118 | − | 0.389283i | \(-0.872723\pi\) | ||
0.921118 | − | 0.389283i | \(-0.127277\pi\) | |||||||
\(90\) | 3.06816 | + | 0.534675i | 0.323413 | + | 0.0563597i | ||||
\(91\) | − | 1.50417i | − | 0.157680i | ||||||
\(92\) | −0.141297 | −0.0147312 | ||||||||
\(93\) | 4.55060 | 0.471875 | ||||||||
\(94\) | 9.77657i | 1.00838i | ||||||||
\(95\) | −2.18890 | + | 12.5607i | −0.224576 | + | 1.28870i | ||||
\(96\) | 0.339869i | 0.0346877i | ||||||||
\(97\) | −9.66376 | −0.981206 | −0.490603 | − | 0.871383i | \(-0.663224\pi\) | ||||
−0.490603 | + | 0.871383i | \(0.663224\pi\) | |||||||
\(98\) | −9.58469 | −0.968199 | ||||||||
\(99\) | 1.00065 | 0.100570 | ||||||||
\(100\) | −0.282793 | − | 0.101649i | −0.0282793 | − | 0.0101649i | ||||
\(101\) | −9.43463 | −0.938781 | −0.469391 | − | 0.882991i | \(-0.655526\pi\) | ||||
−0.469391 | + | 0.882991i | \(0.655526\pi\) | |||||||
\(102\) | − | 0.597215i | − | 0.0591331i | ||||||
\(103\) | 3.60566 | 0.355276 | 0.177638 | − | 0.984096i | \(-0.443154\pi\) | ||||
0.177638 | + | 0.984096i | \(0.443154\pi\) | |||||||
\(104\) | 12.5421 | 1.22985 | ||||||||
\(105\) | −0.758047 | − | 0.132101i | −0.0739778 | − | 0.0128918i | ||||
\(106\) | 10.3328i | 1.00361i | ||||||||
\(107\) | 14.5128i | 1.40300i | 0.712669 | + | 0.701500i | \(0.247486\pi\) | ||||
−0.712669 | + | 0.701500i | \(0.752514\pi\) | |||||||
\(108\) | − | 0.0601015i | − | 0.00578327i | ||||||
\(109\) | 5.44298i | 0.521343i | 0.965428 | + | 0.260671i | \(0.0839439\pi\) | ||||
−0.965428 | + | 0.260671i | \(0.916056\pi\) | |||||||
\(110\) | 3.07017 | + | 0.535025i | 0.292729 | + | 0.0510126i | ||||
\(111\) | −5.76136 | − | 1.95109i | −0.546844 | − | 0.185189i | ||||
\(112\) | 1.33386i | 0.126038i | ||||||||
\(113\) | 9.13297 | 0.859157 | 0.429579 | − | 0.903029i | \(-0.358662\pi\) | ||||
0.429579 | + | 0.903029i | \(0.358662\pi\) | |||||||
\(114\) | −7.94172 | −0.743811 | ||||||||
\(115\) | 5.17887 | + | 0.902500i | 0.482933 | + | 0.0841585i | ||||
\(116\) | 0.458302i | 0.0425522i | ||||||||
\(117\) | −4.37110 | −0.404109 | ||||||||
\(118\) | 5.49812i | 0.506143i | ||||||||
\(119\) | 0.147553i | 0.0135262i | ||||||||
\(120\) | 1.10148 | − | 6.32072i | 0.100551 | − | 0.577001i | ||||
\(121\) | −9.99869 | −0.908972 | ||||||||
\(122\) | 3.04430i | 0.275618i | ||||||||
\(123\) | − | 2.50995i | − | 0.226315i | ||||||
\(124\) | − | 0.273498i | − | 0.0245608i | ||||||
\(125\) | 9.71582 | + | 5.53198i | 0.869010 | + | 0.494795i | ||||
\(126\) | − | 0.479288i | − | 0.0426984i | ||||||
\(127\) | − | 21.0161i | − | 1.86487i | −0.361332 | − | 0.932437i | \(-0.617678\pi\) | ||
0.361332 | − | 0.932437i | \(-0.382322\pi\) | |||||||
\(128\) | −10.7771 | −0.952569 | ||||||||
\(129\) | − | 8.58272i | − | 0.755666i | ||||||
\(130\) | −13.4113 | − | 2.33712i | −1.17624 | − | 0.204979i | ||||
\(131\) | 6.86428i | 0.599735i | 0.953981 | + | 0.299868i | \(0.0969425\pi\) | ||||
−0.953981 | + | 0.299868i | \(0.903057\pi\) | |||||||
\(132\) | − | 0.0601408i | − | 0.00523459i | ||||||
\(133\) | 1.96215 | 0.170140 | ||||||||
\(134\) | − | 14.2951i | − | 1.23490i | ||||||
\(135\) | −0.383884 | + | 2.20287i | −0.0330395 | + | 0.189593i | ||||
\(136\) | −1.23032 | −0.105499 | ||||||||
\(137\) | 10.1126i | 0.863976i | 0.901879 | + | 0.431988i | \(0.142188\pi\) | ||||
−0.901879 | + | 0.431988i | \(0.857812\pi\) | |||||||
\(138\) | 3.27443i | 0.278738i | ||||||||
\(139\) | −3.55340 | −0.301396 | −0.150698 | − | 0.988580i | \(-0.548152\pi\) | ||||
−0.150698 | + | 0.988580i | \(0.548152\pi\) | |||||||
\(140\) | −0.00793949 | + | 0.0455597i | −0.000671010 | + | 0.00385050i | ||||
\(141\) | −7.01935 | −0.591136 | ||||||||
\(142\) | −2.67790 | −0.224724 | ||||||||
\(143\) | −4.37396 | −0.365769 | ||||||||
\(144\) | 3.87618 | 0.323015 | ||||||||
\(145\) | 2.92730 | − | 16.7979i | 0.243099 | − | 1.39499i | ||||
\(146\) | 12.8505i | 1.06351i | ||||||||
\(147\) | − | 6.88158i | − | 0.567583i | ||||||
\(148\) | −0.117263 | + | 0.346266i | −0.00963897 | + | 0.0284629i | ||||
\(149\) | −15.4708 | −1.26742 | −0.633710 | − | 0.773571i | \(-0.718469\pi\) | ||||
−0.633710 | + | 0.773571i | \(0.718469\pi\) | |||||||
\(150\) | −2.35564 | + | 6.55351i | −0.192337 | + | 0.535091i | ||||
\(151\) | −9.11731 | −0.741956 | −0.370978 | − | 0.928642i | \(-0.620977\pi\) | ||||
−0.370978 | + | 0.928642i | \(0.620977\pi\) | |||||||
\(152\) | 16.3608i | 1.32703i | ||||||||
\(153\) | 0.428787 | 0.0346653 | ||||||||
\(154\) | − | 0.479602i | − | 0.0386474i | ||||||
\(155\) | −1.74690 | + | 10.0244i | −0.140315 | + | 0.805177i | ||||
\(156\) | 0.262710i | 0.0210336i | ||||||||
\(157\) | 13.2988i | 1.06136i | 0.847572 | + | 0.530680i | \(0.178063\pi\) | ||||
−0.847572 | + | 0.530680i | \(0.821937\pi\) | |||||||
\(158\) | − | 20.0117i | − | 1.59204i | ||||||
\(159\) | −7.41870 | −0.588341 | ||||||||
\(160\) | −0.748687 | − | 0.130470i | −0.0591889 | − | 0.0103146i | ||||
\(161\) | − | 0.809010i | − | 0.0637589i | ||||||
\(162\) | −1.39280 | −0.109429 | ||||||||
\(163\) | −19.7530 | −1.54717 | −0.773585 | − | 0.633692i | \(-0.781539\pi\) | ||||
−0.773585 | + | 0.633692i | \(0.781539\pi\) | |||||||
\(164\) | −0.150852 | −0.0117795 | ||||||||
\(165\) | −0.384136 | + | 2.20431i | −0.0299049 | + | 0.171605i | ||||
\(166\) | − | 0.560945i | − | 0.0435378i | ||||||
\(167\) | −7.51159 | −0.581265 | −0.290632 | − | 0.956835i | \(-0.593866\pi\) | ||||
−0.290632 | + | 0.956835i | \(0.593866\pi\) | |||||||
\(168\) | −0.987382 | −0.0761782 | ||||||||
\(169\) | 6.10655 | 0.469735 | ||||||||
\(170\) | 1.31559 | + | 0.229261i | 0.100901 | + | 0.0175835i | ||||
\(171\) | − | 5.70197i | − | 0.436041i | ||||||
\(172\) | −0.515834 | −0.0393320 | ||||||||
\(173\) | 12.8334i | 0.975706i | 0.872926 | + | 0.487853i | \(0.162220\pi\) | ||||
−0.872926 | + | 0.487853i | \(0.837780\pi\) | |||||||
\(174\) | 10.6208 | 0.805158 | ||||||||
\(175\) | 0.582004 | − | 1.61917i | 0.0439954 | − | 0.122397i | ||||
\(176\) | 3.87872 | 0.292370 | ||||||||
\(177\) | −3.94753 | −0.296714 | ||||||||
\(178\) | 10.2301i | 0.766779i | ||||||||
\(179\) | − | 7.40603i | − | 0.553553i | −0.960934 | − | 0.276777i | \(-0.910734\pi\) | ||
0.960934 | − | 0.276777i | \(-0.0892662\pi\) | |||||||
\(180\) | 0.132396 | + | 0.0230720i | 0.00986819 | + | 0.00171969i | ||||
\(181\) | −14.6421 | −1.08834 | −0.544171 | − | 0.838974i | \(-0.683156\pi\) | ||||
−0.544171 | + | 0.838974i | \(0.683156\pi\) | |||||||
\(182\) | 2.09502i | 0.155293i | ||||||||
\(183\) | −2.18574 | −0.161574 | ||||||||
\(184\) | 6.74567 | 0.497297 | ||||||||
\(185\) | 6.50968 | − | 11.9425i | 0.478601 | − | 0.878032i | ||||
\(186\) | −6.33808 | −0.464731 | ||||||||
\(187\) | 0.429067 | 0.0313765 | ||||||||
\(188\) | 0.421873i | 0.0307683i | ||||||||
\(189\) | 0.344118 | 0.0250309 | ||||||||
\(190\) | 3.04870 | − | 17.4946i | 0.221176 | − | 1.26919i | ||||
\(191\) | − | 4.01324i | − | 0.290388i | −0.989403 | − | 0.145194i | \(-0.953619\pi\) | ||
0.989403 | − | 0.145194i | \(-0.0463807\pi\) | |||||||
\(192\) | − | 8.22574i | − | 0.593642i | ||||||
\(193\) | 24.0591 | 1.73181 | 0.865906 | − | 0.500207i | \(-0.166743\pi\) | ||||
0.865906 | + | 0.500207i | \(0.166743\pi\) | |||||||
\(194\) | 13.4597 | 0.966351 | ||||||||
\(195\) | 1.67800 | − | 9.62897i | 0.120164 | − | 0.689545i | ||||
\(196\) | −0.413593 | −0.0295424 | ||||||||
\(197\) | 4.81990i | 0.343403i | 0.985149 | + | 0.171702i | \(0.0549265\pi\) | ||||
−0.985149 | + | 0.171702i | \(0.945073\pi\) | |||||||
\(198\) | −1.39371 | −0.0990469 | ||||||||
\(199\) | 27.1785i | 1.92663i | 0.268372 | + | 0.963315i | \(0.413514\pi\) | ||||
−0.268372 | + | 0.963315i | \(0.586486\pi\) | |||||||
\(200\) | 13.5009 | + | 4.85285i | 0.954657 | + | 0.343149i | ||||
\(201\) | 10.2635 | 0.723933 | ||||||||
\(202\) | 13.1406 | 0.924568 | ||||||||
\(203\) | −2.62406 | −0.184173 | ||||||||
\(204\) | − | 0.0257707i | − | 0.00180431i | ||||||
\(205\) | 5.52909 | + | 0.963531i | 0.386169 | + | 0.0672959i | ||||
\(206\) | −5.02197 | −0.349897 | ||||||||
\(207\) | −2.35097 | −0.163404 | ||||||||
\(208\) | −16.9432 | −1.17480 | ||||||||
\(209\) | − | 5.70571i | − | 0.394672i | ||||||
\(210\) | 1.05581 | + | 0.183991i | 0.0728577 | + | 0.0126966i | ||||
\(211\) | 9.18627 | 0.632409 | 0.316204 | − | 0.948691i | \(-0.397591\pi\) | ||||
0.316204 | + | 0.948691i | \(0.397591\pi\) | |||||||
\(212\) | 0.445875i | 0.0306228i | ||||||||
\(213\) | − | 1.92267i | − | 0.131739i | ||||||
\(214\) | − | 20.2134i | − | 1.38176i | ||||||
\(215\) | 18.9066 | + | 3.29477i | 1.28942 | + | 0.224702i | ||||
\(216\) | 2.86931i | 0.195232i | ||||||||
\(217\) | 1.56594 | 0.106303 | ||||||||
\(218\) | − | 7.58100i | − | 0.513450i | ||||||
\(219\) | −9.22636 | −0.623459 | ||||||||
\(220\) | 0.132482 | + | 0.0230871i | 0.00893196 | + | 0.00155653i | ||||
\(221\) | −1.87427 | −0.126077 | ||||||||
\(222\) | 8.02444 | + | 2.71748i | 0.538565 | + | 0.182385i | ||||
\(223\) | − | 5.05112i | − | 0.338248i | −0.985595 | − | 0.169124i | \(-0.945906\pi\) | ||
0.985595 | − | 0.169124i | \(-0.0540939\pi\) | |||||||
\(224\) | 0.116955i | 0.00781438i | ||||||||
\(225\) | −4.70527 | − | 1.69129i | −0.313684 | − | 0.112753i | ||||
\(226\) | −12.7204 | −0.846150 | ||||||||
\(227\) | 13.1231 | 0.871011 | 0.435506 | − | 0.900186i | \(-0.356570\pi\) | ||||
0.435506 | + | 0.900186i | \(0.356570\pi\) | |||||||
\(228\) | −0.342697 | −0.0226957 | ||||||||
\(229\) | 10.8507 | 0.717032 | 0.358516 | − | 0.933524i | \(-0.383283\pi\) | ||||
0.358516 | + | 0.933524i | \(0.383283\pi\) | |||||||
\(230\) | −7.21315 | − | 1.25700i | −0.475621 | − | 0.0828844i | ||||
\(231\) | 0.344343 | 0.0226561 | ||||||||
\(232\) | − | 21.8799i | − | 1.43648i | ||||||
\(233\) | − | 17.1449i | − | 1.12320i | −0.827410 | − | 0.561598i | \(-0.810187\pi\) | ||
0.827410 | − | 0.561598i | \(-0.189813\pi\) | |||||||
\(234\) | 6.08808 | 0.397991 | ||||||||
\(235\) | 2.69462 | − | 15.4627i | 0.175778 | − | 1.00868i | ||||
\(236\) | 0.237252i | 0.0154438i | ||||||||
\(237\) | 14.3679 | 0.933296 | ||||||||
\(238\) | − | 0.205512i | − | 0.0133214i | ||||||
\(239\) | − | 1.53255i | − | 0.0991323i | −0.998771 | − | 0.0495662i | \(-0.984216\pi\) | ||
0.998771 | − | 0.0495662i | \(-0.0157839\pi\) | |||||||
\(240\) | −1.48801 | + | 8.53873i | −0.0960504 | + | 0.551173i | ||||
\(241\) | − | 3.84894i | − | 0.247932i | −0.992286 | − | 0.123966i | \(-0.960439\pi\) | ||
0.992286 | − | 0.123966i | \(-0.0395614\pi\) | |||||||
\(242\) | 13.9262 | 0.895210 | ||||||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | 0.131366i | 0.00840984i | ||||||||
\(245\) | 15.1592 | + | 2.64173i | 0.968488 | + | 0.168774i | ||||
\(246\) | 3.49587i | 0.222888i | ||||||||
\(247\) | 24.9239i | 1.58587i | ||||||||
\(248\) | 13.0571i | 0.829126i | ||||||||
\(249\) | 0.402746 | 0.0255230 | ||||||||
\(250\) | −13.5322 | − | 7.70495i | −0.855853 | − | 0.487304i | ||||
\(251\) | 5.32686i | 0.336229i | 0.985767 | + | 0.168114i | \(0.0537678\pi\) | ||||
−0.985767 | + | 0.168114i | \(0.946232\pi\) | |||||||
\(252\) | − | 0.0206820i | − | 0.00130284i | ||||||
\(253\) | −2.35251 | −0.147901 | ||||||||
\(254\) | 29.2712i | 1.83664i | ||||||||
\(255\) | −0.164604 | + | 0.944561i | −0.0103079 | + | 0.0591507i | ||||
\(256\) | −1.44112 | −0.0900700 | ||||||||
\(257\) | −5.23877 | −0.326786 | −0.163393 | − | 0.986561i | \(-0.552244\pi\) | ||||
−0.163393 | + | 0.986561i | \(0.552244\pi\) | |||||||
\(258\) | 11.9540i | 0.744226i | ||||||||
\(259\) | −1.98259 | − | 0.671404i | −0.123192 | − | 0.0417190i | ||||
\(260\) | −0.578715 | − | 0.100850i | −0.0358904 | − | 0.00625446i | ||||
\(261\) | 7.62547i | 0.472004i | ||||||||
\(262\) | − | 9.56059i | − | 0.590655i | ||||||
\(263\) | 7.96305i | 0.491022i | 0.969394 | + | 0.245511i | \(0.0789558\pi\) | ||||
−0.969394 | + | 0.245511i | \(0.921044\pi\) | |||||||
\(264\) | 2.87119i | 0.176710i | ||||||||
\(265\) | 2.84792 | − | 16.3424i | 0.174946 | − | 1.00391i | ||||
\(266\) | −2.73289 | −0.167564 | ||||||||
\(267\) | −7.34498 | −0.449506 | ||||||||
\(268\) | − | 0.616853i | − | 0.0376803i | ||||||
\(269\) | −9.37825 | −0.571802 | −0.285901 | − | 0.958259i | \(-0.592293\pi\) | ||||
−0.285901 | + | 0.958259i | \(0.592293\pi\) | |||||||
\(270\) | 0.534675 | − | 3.06816i | 0.0325393 | − | 0.186722i | ||||
\(271\) | 26.6529 | 1.61905 | 0.809524 | − | 0.587087i | \(-0.199725\pi\) | ||||
0.809524 | + | 0.587087i | \(0.199725\pi\) | |||||||
\(272\) | 1.66206 | 0.100777 | ||||||||
\(273\) | −1.50417 | −0.0910368 | ||||||||
\(274\) | − | 14.0848i | − | 0.850895i | ||||||
\(275\) | −4.70834 | − | 1.69240i | −0.283924 | − | 0.102056i | ||||
\(276\) | 0.141297i | 0.00850506i | ||||||||
\(277\) | 9.95700 | 0.598258 | 0.299129 | − | 0.954213i | \(-0.403304\pi\) | ||||
0.299129 | + | 0.954213i | \(0.403304\pi\) | |||||||
\(278\) | 4.94919 | 0.296833 | ||||||||
\(279\) | − | 4.55060i | − | 0.272437i | ||||||
\(280\) | 0.379041 | − | 2.17507i | 0.0226520 | − | 0.129986i | ||||
\(281\) | 18.2638i | 1.08953i | 0.838589 | + | 0.544764i | \(0.183381\pi\) | ||||
−0.838589 | + | 0.544764i | \(0.816619\pi\) | |||||||
\(282\) | 9.77657 | 0.582186 | ||||||||
\(283\) | −18.6227 | −1.10700 | −0.553501 | − | 0.832848i | \(-0.686709\pi\) | ||||
−0.553501 | + | 0.832848i | \(0.686709\pi\) | |||||||
\(284\) | −0.115555 | −0.00685695 | ||||||||
\(285\) | 12.5607 | + | 2.18890i | 0.744032 | + | 0.129659i | ||||
\(286\) | 6.09207 | 0.360232 | ||||||||
\(287\) | − | 0.863719i | − | 0.0509837i | ||||||
\(288\) | 0.339869 | 0.0200270 | ||||||||
\(289\) | −16.8161 | −0.989185 | ||||||||
\(290\) | −4.07715 | + | 23.3962i | −0.239418 | + | 1.37387i | ||||
\(291\) | 9.66376i | 0.566500i | ||||||||
\(292\) | 0.554518i | 0.0324507i | ||||||||
\(293\) | − | 29.8367i | − | 1.74308i | −0.490327 | − | 0.871538i | \(-0.663123\pi\) | ||
0.490327 | − | 0.871538i | \(-0.336877\pi\) | |||||||
\(294\) | 9.58469i | 0.558990i | ||||||||
\(295\) | 1.51539 | − | 8.69588i | 0.0882296 | − | 0.506294i | ||||
\(296\) | 5.59828 | − | 16.5312i | 0.325393 | − | 0.960854i | ||||
\(297\) | − | 1.00065i | − | 0.0580639i | ||||||
\(298\) | 21.5478 | 1.24823 | ||||||||
\(299\) | 10.2763 | 0.594295 | ||||||||
\(300\) | −0.101649 | + | 0.282793i | −0.00586872 | + | 0.0163271i | ||||
\(301\) | − | 2.95347i | − | 0.170235i | ||||||
\(302\) | 12.6986 | 0.730723 | ||||||||
\(303\) | 9.43463i | 0.542006i | ||||||||
\(304\) | − | 22.1019i | − | 1.26763i | ||||||
\(305\) | 0.839070 | − | 4.81489i | 0.0480450 | − | 0.275700i | ||||
\(306\) | −0.597215 | −0.0341405 | ||||||||
\(307\) | − | 19.6530i | − | 1.12166i | −0.827932 | − | 0.560828i | \(-0.810483\pi\) | ||
0.827932 | − | 0.560828i | \(-0.189517\pi\) | |||||||
\(308\) | − | 0.0206955i | − | 0.00117924i | ||||||
\(309\) | − | 3.60566i | − | 0.205119i | ||||||
\(310\) | 2.43309 | − | 13.9620i | 0.138190 | − | 0.792986i | ||||
\(311\) | − | 23.0782i | − | 1.30864i | −0.756217 | − | 0.654321i | \(-0.772954\pi\) | ||
0.756217 | − | 0.654321i | \(-0.227046\pi\) | |||||||
\(312\) | − | 12.5421i | − | 0.710055i | ||||||
\(313\) | −12.0135 | −0.679043 | −0.339522 | − | 0.940598i | \(-0.610265\pi\) | ||||
−0.339522 | + | 0.940598i | \(0.610265\pi\) | |||||||
\(314\) | − | 18.5226i | − | 1.04529i | ||||||
\(315\) | −0.132101 | + | 0.758047i | −0.00744307 | + | 0.0427111i | ||||
\(316\) | − | 0.863533i | − | 0.0485775i | ||||||
\(317\) | − | 9.84245i | − | 0.552807i | −0.961042 | − | 0.276404i | \(-0.910857\pi\) | ||
0.961042 | − | 0.276404i | \(-0.0891427\pi\) | |||||||
\(318\) | 10.3328 | 0.579433 | ||||||||
\(319\) | 7.63045i | 0.427223i | ||||||||
\(320\) | 18.1202 | + | 3.15773i | 1.01295 | + | 0.176523i | ||||
\(321\) | 14.5128 | 0.810023 | ||||||||
\(322\) | 1.12679i | 0.0627936i | ||||||||
\(323\) | − | 2.44493i | − | 0.136040i | ||||||
\(324\) | −0.0601015 | −0.00333897 | ||||||||
\(325\) | 20.5672 | + | 7.39282i | 1.14086 | + | 0.410080i | ||||
\(326\) | 27.5120 | 1.52375 | ||||||||
\(327\) | 5.44298 | 0.300997 | ||||||||
\(328\) | 7.20184 | 0.397655 | ||||||||
\(329\) | −2.41548 | −0.133170 | ||||||||
\(330\) | 0.535025 | − | 3.07017i | 0.0294521 | − | 0.169007i | ||||
\(331\) | 12.5516i | 0.689896i | 0.938622 | + | 0.344948i | \(0.112104\pi\) | ||||
−0.938622 | + | 0.344948i | \(0.887896\pi\) | |||||||
\(332\) | − | 0.0242056i | − | 0.00132846i | ||||||
\(333\) | −1.95109 | + | 5.76136i | −0.106919 | + | 0.315721i | ||||
\(334\) | 10.4622 | 0.572464 | ||||||||
\(335\) | −3.94000 | + | 22.6092i | −0.215265 | + | 1.23527i | ||||
\(336\) | 1.33386 | 0.0727683 | ||||||||
\(337\) | 24.4199i | 1.33024i | 0.746738 | + | 0.665118i | \(0.231619\pi\) | ||||
−0.746738 | + | 0.665118i | \(0.768381\pi\) | |||||||
\(338\) | −8.50522 | −0.462623 | ||||||||
\(339\) | − | 9.13297i | − | 0.496035i | ||||||
\(340\) | 0.0567695 | + | 0.00989297i | 0.00307876 | + | 0.000536522i | ||||
\(341\) | − | 4.55357i | − | 0.246590i | ||||||
\(342\) | 7.94172i | 0.429439i | ||||||||
\(343\) | − | 4.77690i | − | 0.257928i | ||||||
\(344\) | 24.6265 | 1.32777 | ||||||||
\(345\) | 0.902500 | − | 5.17887i | 0.0485889 | − | 0.278821i | ||||
\(346\) | − | 17.8744i | − | 0.960934i | ||||||
\(347\) | −4.91405 | −0.263800 | −0.131900 | − | 0.991263i | \(-0.542108\pi\) | ||||
−0.131900 | + | 0.991263i | \(0.542108\pi\) | |||||||
\(348\) | 0.458302 | 0.0245676 | ||||||||
\(349\) | −7.69210 | −0.411749 | −0.205874 | − | 0.978578i | \(-0.566004\pi\) | ||||
−0.205874 | + | 0.978578i | \(0.566004\pi\) | |||||||
\(350\) | −0.810617 | + | 2.25518i | −0.0433293 | + | 0.120544i | ||||
\(351\) | 4.37110i | 0.233312i | ||||||||
\(352\) | 0.340091 | 0.0181269 | ||||||||
\(353\) | −5.78846 | −0.308089 | −0.154044 | − | 0.988064i | \(-0.549230\pi\) | ||||
−0.154044 | + | 0.988064i | \(0.549230\pi\) | |||||||
\(354\) | 5.49812 | 0.292222 | ||||||||
\(355\) | 4.23539 | + | 0.738083i | 0.224791 | + | 0.0391734i | ||||
\(356\) | 0.441444i | 0.0233965i | ||||||||
\(357\) | 0.147553 | 0.00780934 | ||||||||
\(358\) | 10.3151i | 0.545172i | ||||||||
\(359\) | −23.3366 | −1.23166 | −0.615830 | − | 0.787879i | \(-0.711179\pi\) | ||||
−0.615830 | + | 0.787879i | \(0.711179\pi\) | |||||||
\(360\) | −6.32072 | − | 1.10148i | −0.333131 | − | 0.0580533i | ||||
\(361\) | −13.5125 | −0.711185 | ||||||||
\(362\) | 20.3936 | 1.07186 | ||||||||
\(363\) | 9.99869i | 0.524795i | ||||||||
\(364\) | 0.0904031i | 0.00473841i | ||||||||
\(365\) | 3.54185 | − | 20.3245i | 0.185389 | − | 1.06383i | ||||
\(366\) | 3.04430 | 0.159128 | ||||||||
\(367\) | − | 0.996653i | − | 0.0520249i | −0.999662 | − | 0.0260124i | \(-0.991719\pi\) | ||
0.999662 | − | 0.0260124i | \(-0.00828095\pi\) | |||||||
\(368\) | −9.11279 | −0.475037 | ||||||||
\(369\) | −2.50995 | −0.130663 | ||||||||
\(370\) | −9.06670 | + | 16.6336i | −0.471355 | + | 0.864739i | ||||
\(371\) | −2.55291 | −0.132540 | ||||||||
\(372\) | −0.273498 | −0.0141802 | ||||||||
\(373\) | 25.4727i | 1.31893i | 0.751737 | + | 0.659463i | \(0.229216\pi\) | ||||
−0.751737 | + | 0.659463i | \(0.770784\pi\) | |||||||
\(374\) | −0.597606 | −0.0309015 | ||||||||
\(375\) | 5.53198 | − | 9.71582i | 0.285670 | − | 0.501723i | ||||
\(376\) | − | 20.1407i | − | 1.03868i | ||||||
\(377\) | − | 33.3317i | − | 1.71667i | ||||||
\(378\) | −0.479288 | −0.0246519 | ||||||||
\(379\) | −13.7468 | −0.706124 | −0.353062 | − | 0.935600i | \(-0.614859\pi\) | ||||
−0.353062 | + | 0.935600i | \(0.614859\pi\) | |||||||
\(380\) | 0.131556 | − | 0.754917i | 0.00674868 | − | 0.0387264i | ||||
\(381\) | −21.0161 | −1.07669 | ||||||||
\(382\) | 5.58966i | 0.285992i | ||||||||
\(383\) | −31.5653 | −1.61291 | −0.806456 | − | 0.591294i | \(-0.798617\pi\) | ||||
−0.806456 | + | 0.591294i | \(0.798617\pi\) | |||||||
\(384\) | 10.7771i | 0.549966i | ||||||||
\(385\) | −0.132188 | + | 0.758543i | −0.00673692 | + | 0.0386589i | ||||
\(386\) | −33.5096 | −1.70559 | ||||||||
\(387\) | −8.58272 | −0.436284 | ||||||||
\(388\) | 0.580806 | 0.0294860 | ||||||||
\(389\) | 32.3554i | 1.64049i | 0.572016 | + | 0.820243i | \(0.306162\pi\) | ||||
−0.572016 | + | 0.820243i | \(0.693838\pi\) | |||||||
\(390\) | −2.33712 | + | 13.4113i | −0.118345 | + | 0.679105i | ||||
\(391\) | −1.00806 | −0.0509799 | ||||||||
\(392\) | 19.7454 | 0.997295 | ||||||||
\(393\) | 6.86428 | 0.346257 | ||||||||
\(394\) | − | 6.71316i | − | 0.338204i | ||||||
\(395\) | −5.51562 | + | 31.6506i | −0.277521 | + | 1.59252i | ||||
\(396\) | −0.0601408 | −0.00302219 | ||||||||
\(397\) | − | 19.2972i | − | 0.968501i | −0.874929 | − | 0.484250i | \(-0.839092\pi\) | ||
0.874929 | − | 0.484250i | \(-0.160908\pi\) | |||||||
\(398\) | − | 37.8542i | − | 1.89746i | ||||||
\(399\) | − | 1.96215i | − | 0.0982304i | ||||||
\(400\) | −18.2385 | − | 6.55577i | −0.911924 | − | 0.327788i | ||||
\(401\) | 27.7461i | 1.38558i | 0.721141 | + | 0.692788i | \(0.243618\pi\) | ||||
−0.721141 | + | 0.692788i | \(0.756382\pi\) | |||||||
\(402\) | −14.2951 | −0.712972 | ||||||||
\(403\) | 19.8911i | 0.990848i | ||||||||
\(404\) | 0.567036 | 0.0282111 | ||||||||
\(405\) | 2.20287 | + | 0.383884i | 0.109461 | + | 0.0190754i | ||||
\(406\) | 3.65479 | 0.181384 | ||||||||
\(407\) | −1.95236 | + | 5.76513i | −0.0967750 | + | 0.285767i | ||||
\(408\) | 1.23032i | 0.0609101i | ||||||||
\(409\) | 30.8229i | 1.52409i | 0.647522 | + | 0.762047i | \(0.275806\pi\) | ||||
−0.647522 | + | 0.762047i | \(0.724194\pi\) | |||||||
\(410\) | −7.70093 | − | 1.34201i | −0.380322 | − | 0.0662771i | ||||
\(411\) | 10.1126 | 0.498817 | ||||||||
\(412\) | −0.216706 | −0.0106763 | ||||||||
\(413\) | −1.35841 | −0.0668432 | ||||||||
\(414\) | 3.27443 | 0.160930 | ||||||||
\(415\) | −0.154608 | + | 0.887196i | −0.00758940 | + | 0.0435508i | ||||
\(416\) | −1.48560 | −0.0728377 | ||||||||
\(417\) | 3.55340i | 0.174011i | ||||||||
\(418\) | 7.94692i | 0.388697i | ||||||||
\(419\) | −29.0149 | −1.41747 | −0.708735 | − | 0.705475i | \(-0.750734\pi\) | ||||
−0.708735 | + | 0.705475i | \(0.750734\pi\) | |||||||
\(420\) | 0.0455597 | + | 0.00793949i | 0.00222309 | + | 0.000387408i | ||||
\(421\) | − | 24.1020i | − | 1.17466i | −0.809348 | − | 0.587329i | \(-0.800180\pi\) | ||
0.809348 | − | 0.587329i | \(-0.199820\pi\) | |||||||
\(422\) | −12.7947 | −0.622834 | ||||||||
\(423\) | 7.01935i | 0.341292i | ||||||||
\(424\) | − | 21.2866i | − | 1.03377i | ||||||
\(425\) | −2.01755 | − | 0.725204i | −0.0978658 | − | 0.0351776i | ||||
\(426\) | 2.67790i | 0.129745i | ||||||||
\(427\) | −0.752151 | −0.0363991 | ||||||||
\(428\) | − | 0.872238i | − | 0.0421612i | ||||||
\(429\) | 4.37396i | 0.211177i | ||||||||
\(430\) | −26.3332 | − | 4.58897i | −1.26990 | − | 0.221300i | ||||
\(431\) | − | 19.5238i | − | 0.940427i | −0.882553 | − | 0.470214i | \(-0.844177\pi\) | ||
0.882553 | − | 0.470214i | \(-0.155823\pi\) | |||||||
\(432\) | − | 3.87618i | − | 0.186493i | ||||||
\(433\) | 28.2340i | 1.35684i | 0.734675 | + | 0.678419i | \(0.237335\pi\) | ||||
−0.734675 | + | 0.678419i | \(0.762665\pi\) | |||||||
\(434\) | −2.18105 | −0.104694 | ||||||||
\(435\) | −16.7979 | − | 2.92730i | −0.805398 | − | 0.140353i | ||||
\(436\) | − | 0.327131i | − | 0.0156667i | ||||||
\(437\) | 13.4052i | 0.641256i | ||||||||
\(438\) | 12.8505 | 0.614020 | ||||||||
\(439\) | 0.0399408i | 0.00190627i | 1.00000 | 0.000953135i | \(0.000303392\pi\) | |||||
−1.00000 | 0.000953135i | \(0.999697\pi\) | ||||||||
\(440\) | −6.32486 | − | 1.10221i | −0.301526 | − | 0.0525456i | ||||
\(441\) | −6.88158 | −0.327694 | ||||||||
\(442\) | 2.61049 | 0.124168 | ||||||||
\(443\) | − | 32.6233i | − | 1.54998i | −0.631973 | − | 0.774990i | \(-0.717755\pi\) | ||
0.631973 | − | 0.774990i | \(-0.282245\pi\) | |||||||
\(444\) | 0.346266 | + | 0.117263i | 0.0164331 | + | 0.00556506i | ||||
\(445\) | 2.81962 | − | 16.1800i | 0.133663 | − | 0.767007i | ||||
\(446\) | 7.03522i | 0.333127i | ||||||||
\(447\) | 15.4708i | 0.731745i | ||||||||
\(448\) | − | 2.83062i | − | 0.133734i | ||||||
\(449\) | − | 7.95302i | − | 0.375326i | −0.982233 | − | 0.187663i | \(-0.939909\pi\) | ||
0.982233 | − | 0.187663i | \(-0.0600913\pi\) | |||||||
\(450\) | 6.55351 | + | 2.35564i | 0.308935 | + | 0.111046i | ||||
\(451\) | −2.51159 | −0.118266 | ||||||||
\(452\) | −0.548905 | −0.0258183 | ||||||||
\(453\) | 9.11731i | 0.428368i | ||||||||
\(454\) | −18.2779 | −0.857824 | ||||||||
\(455\) | 0.577429 | − | 3.31350i | 0.0270703 | − | 0.155339i | ||||
\(456\) | 16.3608 | 0.766163 | ||||||||
\(457\) | 11.4750 | 0.536776 | 0.268388 | − | 0.963311i | \(-0.413509\pi\) | ||||
0.268388 | + | 0.963311i | \(0.413509\pi\) | |||||||
\(458\) | −15.1128 | −0.706176 | ||||||||
\(459\) | − | 0.428787i | − | 0.0200140i | ||||||
\(460\) | −0.311258 | − | 0.0542416i | −0.0145125 | − | 0.00252903i | ||||
\(461\) | 1.19985i | 0.0558824i | 0.999610 | + | 0.0279412i | \(0.00889512\pi\) | ||||
−0.999610 | + | 0.0279412i | \(0.991105\pi\) | |||||||
\(462\) | −0.479602 | −0.0223131 | ||||||||
\(463\) | −10.2734 | −0.477448 | −0.238724 | − | 0.971088i | \(-0.576729\pi\) | ||||
−0.238724 | + | 0.971088i | \(0.576729\pi\) | |||||||
\(464\) | 29.5577i | 1.37218i | ||||||||
\(465\) | 10.0244 | + | 1.74690i | 0.464869 | + | 0.0810107i | ||||
\(466\) | 23.8794i | 1.10619i | ||||||||
\(467\) | −37.1879 | −1.72085 | −0.860426 | − | 0.509575i | \(-0.829803\pi\) | ||||
−0.860426 | + | 0.509575i | \(0.829803\pi\) | |||||||
\(468\) | 0.262710 | 0.0121438 | ||||||||
\(469\) | 3.53186 | 0.163086 | ||||||||
\(470\) | −3.75307 | + | 21.5365i | −0.173116 | + | 0.993405i | ||||
\(471\) | 13.2988 | 0.612777 | ||||||||
\(472\) | − | 11.3267i | − | 0.521353i | ||||||
\(473\) | −8.58834 | −0.394892 | ||||||||
\(474\) | −20.0117 | −0.919166 | ||||||||
\(475\) | −9.64371 | + | 26.8293i | −0.442484 | + | 1.23101i | ||||
\(476\) | − | 0.00886816i | − | 0.000406471i | ||||||
\(477\) | 7.41870i | 0.339679i | ||||||||
\(478\) | 2.13454i | 0.0976315i | ||||||||
\(479\) | 9.73753i | 0.444919i | 0.974942 | + | 0.222460i | \(0.0714086\pi\) | ||||
−0.974942 | + | 0.222460i | \(0.928591\pi\) | |||||||
\(480\) | −0.130470 | + | 0.748687i | −0.00595513 | + | 0.0341727i | ||||
\(481\) | 8.52840 | − | 25.1835i | 0.388862 | − | 1.14827i | ||||
\(482\) | 5.36082i | 0.244178i | ||||||||
\(483\) | −0.809010 | −0.0368112 | ||||||||
\(484\) | 0.600936 | 0.0273153 | ||||||||
\(485\) | −21.2880 | − | 3.70977i | −0.966638 | − | 0.168452i | ||||
\(486\) | 1.39280i | 0.0631788i | ||||||||
\(487\) | −35.6585 | −1.61584 | −0.807920 | − | 0.589293i | \(-0.799407\pi\) | ||||
−0.807920 | + | 0.589293i | \(0.799407\pi\) | |||||||
\(488\) | − | 6.27156i | − | 0.283900i | ||||||
\(489\) | 19.7530i | 0.893259i | ||||||||
\(490\) | −21.1138 | − | 3.67941i | −0.953825 | − | 0.166219i | ||||
\(491\) | 26.4591 | 1.19408 | 0.597041 | − | 0.802211i | \(-0.296343\pi\) | ||||
0.597041 | + | 0.802211i | \(0.296343\pi\) | |||||||
\(492\) | 0.150852i | 0.00680092i | ||||||||
\(493\) | 3.26970i | 0.147260i | ||||||||
\(494\) | − | 34.7141i | − | 1.56186i | ||||||
\(495\) | 2.20431 | + | 0.384136i | 0.0990764 | + | 0.0172656i | ||||
\(496\) | − | 17.6390i | − | 0.792013i | ||||||
\(497\) | − | 0.661625i | − | 0.0296779i | ||||||
\(498\) | −0.560945 | −0.0251366 | ||||||||
\(499\) | − | 15.1576i | − | 0.678545i | −0.940688 | − | 0.339273i | \(-0.889819\pi\) | ||
0.940688 | − | 0.339273i | \(-0.110181\pi\) | |||||||
\(500\) | −0.583935 | − | 0.332480i | −0.0261144 | − | 0.0148690i | ||||
\(501\) | 7.51159i | 0.335593i | ||||||||
\(502\) | − | 7.41927i | − | 0.331138i | ||||||
\(503\) | 9.89357 | 0.441132 | 0.220566 | − | 0.975372i | \(-0.429210\pi\) | ||||
0.220566 | + | 0.975372i | \(0.429210\pi\) | |||||||
\(504\) | 0.987382i | 0.0439815i | ||||||||
\(505\) | −20.7833 | − | 3.62181i | −0.924843 | − | 0.161168i | ||||
\(506\) | 3.27658 | 0.145662 | ||||||||
\(507\) | − | 6.10655i | − | 0.271201i | ||||||
\(508\) | 1.26310i | 0.0560409i | ||||||||
\(509\) | 36.1879 | 1.60400 | 0.802000 | − | 0.597324i | \(-0.203769\pi\) | ||||
0.802000 | + | 0.597324i | \(0.203769\pi\) | |||||||
\(510\) | 0.229261 | − | 1.31559i | 0.0101519 | − | 0.0582551i | ||||
\(511\) | −3.17495 | −0.140452 | ||||||||
\(512\) | 23.5614 | 1.04128 | ||||||||
\(513\) | −5.70197 | −0.251748 | ||||||||
\(514\) | 7.29657 | 0.321838 | ||||||||
\(515\) | 7.94280 | + | 1.38416i | 0.350002 | + | 0.0609932i | ||||
\(516\) | 0.515834i | 0.0227083i | ||||||||
\(517\) | 7.02394i | 0.308913i | ||||||||
\(518\) | 2.76135 | + | 0.935133i | 0.121327 | + | 0.0410874i | ||||
\(519\) | 12.8334 | 0.563324 | ||||||||
\(520\) | 27.6285 | + | 4.81470i | 1.21159 | + | 0.211139i | ||||
\(521\) | 32.0406 | 1.40373 | 0.701863 | − | 0.712312i | \(-0.252352\pi\) | ||||
0.701863 | + | 0.712312i | \(0.252352\pi\) | |||||||
\(522\) | − | 10.6208i | − | 0.464858i | ||||||
\(523\) | −3.11083 | −0.136027 | −0.0680136 | − | 0.997684i | \(-0.521666\pi\) | ||||
−0.0680136 | + | 0.997684i | \(0.521666\pi\) | |||||||
\(524\) | − | 0.412554i | − | 0.0180225i | ||||||
\(525\) | −1.61917 | − | 0.582004i | −0.0706662 | − | 0.0254008i | ||||
\(526\) | − | 11.0909i | − | 0.483588i | ||||||
\(527\) | − | 1.95123i | − | 0.0849971i | ||||||
\(528\) | − | 3.87872i | − | 0.168800i | ||||||
\(529\) | −17.4730 | −0.759694 | ||||||||
\(530\) | −3.96659 | + | 22.7618i | −0.172298 | + | 0.988708i | ||||
\(531\) | 3.94753i | 0.171308i | ||||||||
\(532\) | −0.117928 | −0.00511284 | ||||||||
\(533\) | 10.9713 | 0.475218 | ||||||||
\(534\) | 10.2301 | 0.442700 | ||||||||
\(535\) | −5.57122 | + | 31.9697i | −0.240865 | + | 1.38217i | ||||
\(536\) | 29.4493i | 1.27201i | ||||||||
\(537\) | −7.40603 | −0.319594 | ||||||||
\(538\) | 13.0620 | 0.563145 | ||||||||
\(539\) | −6.88609 | −0.296605 | ||||||||
\(540\) | 0.0230720 | − | 0.132396i | 0.000992862 | − | 0.00569740i | ||||
\(541\) | − | 40.0599i | − | 1.72231i | −0.508341 | − | 0.861156i | \(-0.669741\pi\) | ||
0.508341 | − | 0.861156i | \(-0.330259\pi\) | |||||||
\(542\) | −37.1222 | −1.59453 | ||||||||
\(543\) | 14.6421i | 0.628355i | ||||||||
\(544\) | 0.145731 | 0.00624818 | ||||||||
\(545\) | −2.08947 | + | 11.9902i | −0.0895033 | + | 0.513603i | ||||
\(546\) | 2.09502 | 0.0896585 | ||||||||
\(547\) | −29.0324 | −1.24134 | −0.620669 | − | 0.784073i | \(-0.713139\pi\) | ||||
−0.620669 | + | 0.784073i | \(0.713139\pi\) | |||||||
\(548\) | − | 0.607781i | − | 0.0259631i | ||||||
\(549\) | 2.18574i | 0.0932849i | ||||||||
\(550\) | 6.55779 | + | 2.35718i | 0.279625 | + | 0.100510i | ||||
\(551\) | 43.4802 | 1.85232 | ||||||||
\(552\) | − | 6.74567i | − | 0.287115i | ||||||
\(553\) | 4.94425 | 0.210251 | ||||||||
\(554\) | −13.8681 | −0.589201 | ||||||||
\(555\) | −11.9425 | − | 6.50968i | −0.506932 | − | 0.276321i | ||||
\(556\) | 0.213565 | 0.00905717 | ||||||||
\(557\) | −0.496954 | −0.0210566 | −0.0105283 | − | 0.999945i | \(-0.503351\pi\) | ||||
−0.0105283 | + | 0.999945i | \(0.503351\pi\) | |||||||
\(558\) | 6.33808i | 0.268312i | ||||||||
\(559\) | 37.5160 | 1.58676 | ||||||||
\(560\) | −0.512050 | + | 2.93833i | −0.0216380 | + | 0.124167i | ||||
\(561\) | − | 0.429067i | − | 0.0181152i | ||||||
\(562\) | − | 25.4379i | − | 1.07303i | ||||||
\(563\) | −24.9566 | −1.05179 | −0.525897 | − | 0.850548i | \(-0.676270\pi\) | ||||
−0.525897 | + | 0.850548i | \(0.676270\pi\) | |||||||
\(564\) | 0.421873 | 0.0177641 | ||||||||
\(565\) | 20.1187 | + | 3.50600i | 0.846402 | + | 0.147499i | ||||
\(566\) | 25.9377 | 1.09024 | ||||||||
\(567\) | − | 0.344118i | − | 0.0144516i | ||||||
\(568\) | 5.51675 | 0.231478 | ||||||||
\(569\) | 24.1825i | 1.01379i | 0.862009 | + | 0.506893i | \(0.169206\pi\) | ||||
−0.862009 | + | 0.506893i | \(0.830794\pi\) | |||||||
\(570\) | −17.4946 | − | 3.04870i | −0.732767 | − | 0.127696i | ||||
\(571\) | 36.7544 | 1.53812 | 0.769062 | − | 0.639175i | \(-0.220724\pi\) | ||||
0.769062 | + | 0.639175i | \(0.220724\pi\) | |||||||
\(572\) | 0.262882 | 0.0109916 | ||||||||
\(573\) | −4.01324 | −0.167656 | ||||||||
\(574\) | 1.20299i | 0.0502118i | ||||||||
\(575\) | 11.0619 | + | 3.97618i | 0.461314 | + | 0.165818i | ||||
\(576\) | −8.22574 | −0.342739 | ||||||||
\(577\) | −28.8512 | −1.20109 | −0.600545 | − | 0.799591i | \(-0.705050\pi\) | ||||
−0.600545 | + | 0.799591i | \(0.705050\pi\) | |||||||
\(578\) | 23.4216 | 0.974209 | ||||||||
\(579\) | − | 24.0591i | − | 0.999862i | ||||||
\(580\) | −0.175935 | + | 1.00958i | −0.00730530 | + | 0.0419205i | ||||
\(581\) | 0.138592 | 0.00574977 | ||||||||
\(582\) | − | 13.4597i | − | 0.557923i | ||||||
\(583\) | 7.42355i | 0.307452i | ||||||||
\(584\) | − | 26.4733i | − | 1.09547i | ||||||
\(585\) | −9.62897 | − | 1.67800i | −0.398109 | − | 0.0693767i | ||||
\(586\) | 41.5566i | 1.71669i | ||||||||
\(587\) | −11.1675 | −0.460933 | −0.230466 | − | 0.973080i | \(-0.574025\pi\) | ||||
−0.230466 | + | 0.973080i | \(0.574025\pi\) | |||||||
\(588\) | 0.413593i | 0.0170563i | ||||||||
\(589\) | −25.9474 | −1.06914 | ||||||||
\(590\) | −2.11064 | + | 12.1116i | −0.0868938 | + | 0.498629i | ||||
\(591\) | 4.81990 | 0.198264 | ||||||||
\(592\) | −7.56277 | + | 22.3321i | −0.310828 | + | 0.917843i | ||||
\(593\) | − | 3.72900i | − | 0.153132i | −0.997065 | − | 0.0765658i | \(-0.975604\pi\) | ||
0.997065 | − | 0.0765658i | \(-0.0243955\pi\) | |||||||
\(594\) | 1.39371i | 0.0571848i | ||||||||
\(595\) | −0.0566433 | + | 0.325040i | −0.00232215 | + | 0.0133253i | ||||
\(596\) | 0.929820 | 0.0380869 | ||||||||
\(597\) | 27.1785 | 1.11234 | ||||||||
\(598\) | −14.3129 | −0.585298 | ||||||||
\(599\) | −20.9040 | −0.854113 | −0.427056 | − | 0.904225i | \(-0.640449\pi\) | ||||
−0.427056 | + | 0.904225i | \(0.640449\pi\) | |||||||
\(600\) | 4.85285 | − | 13.5009i | 0.198117 | − | 0.551171i | ||||
\(601\) | 25.2037 | 1.02808 | 0.514041 | − | 0.857766i | \(-0.328148\pi\) | ||||
0.514041 | + | 0.857766i | \(0.328148\pi\) | |||||||
\(602\) | 4.11360i | 0.167658i | ||||||||
\(603\) | − | 10.2635i | − | 0.417963i | ||||||
\(604\) | 0.547964 | 0.0222963 | ||||||||
\(605\) | −22.0258 | − | 3.83834i | −0.895476 | − | 0.156051i | ||||
\(606\) | − | 13.1406i | − | 0.533800i | ||||||
\(607\) | 0.485148 | 0.0196916 | 0.00984578 | − | 0.999952i | \(-0.496866\pi\) | ||||
0.00984578 | + | 0.999952i | \(0.496866\pi\) | |||||||
\(608\) | − | 1.93792i | − | 0.0785932i | ||||||
\(609\) | 2.62406i | 0.106332i | ||||||||
\(610\) | −1.16866 | + | 6.70619i | −0.0473176 | + | 0.271526i | ||||
\(611\) | − | 30.6823i | − | 1.24127i | ||||||
\(612\) | −0.0257707 | −0.00104172 | ||||||||
\(613\) | − | 39.1708i | − | 1.58210i | −0.611755 | − | 0.791048i | \(-0.709536\pi\) | ||
0.611755 | − | 0.791048i | \(-0.290464\pi\) | |||||||
\(614\) | 27.3727i | 1.10467i | ||||||||
\(615\) | 0.963531 | − | 5.52909i | 0.0388533 | − | 0.222955i | ||||
\(616\) | 0.988028i | 0.0398088i | ||||||||
\(617\) | 27.8220i | 1.12007i | 0.828468 | + | 0.560036i | \(0.189213\pi\) | ||||
−0.828468 | + | 0.560036i | \(0.810787\pi\) | |||||||
\(618\) | 5.02197i | 0.202013i | ||||||||
\(619\) | −0.946919 | −0.0380599 | −0.0190299 | − | 0.999819i | \(-0.506058\pi\) | ||||
−0.0190299 | + | 0.999819i | \(0.506058\pi\) | |||||||
\(620\) | 0.104991 | − | 0.602480i | 0.00421656 | − | 0.0241962i | ||||
\(621\) | 2.35097i | 0.0943411i | ||||||||
\(622\) | 32.1433i | 1.28883i | ||||||||
\(623\) | −2.52754 | −0.101264 | ||||||||
\(624\) | 16.9432i | 0.678271i | ||||||||
\(625\) | 19.2790 | + | 15.9160i | 0.771162 | + | 0.636639i | ||||
\(626\) | 16.7324 | 0.668762 | ||||||||
\(627\) | −5.70571 | −0.227864 | ||||||||
\(628\) | − | 0.799278i | − | 0.0318947i | ||||||
\(629\) | −0.836599 | + | 2.47039i | −0.0333574 | + | 0.0985010i | ||||
\(630\) | 0.183991 | − | 1.05581i | 0.00733038 | − | 0.0420644i | ||||
\(631\) | − | 2.30783i | − | 0.0918734i | −0.998944 | − | 0.0459367i | \(-0.985373\pi\) | ||
0.998944 | − | 0.0459367i | \(-0.0146273\pi\) | |||||||
\(632\) | 41.2261i | 1.63988i | ||||||||
\(633\) | − | 9.18627i | − | 0.365121i | ||||||
\(634\) | 13.7086i | 0.544438i | ||||||||
\(635\) | 8.06774 | − | 46.2957i | 0.320159 | − | 1.83719i | ||||
\(636\) | 0.445875 | 0.0176801 | ||||||||
\(637\) | 30.0801 | 1.19182 | ||||||||
\(638\) | − | 10.6277i | − | 0.420755i | ||||||
\(639\) | −1.92267 | −0.0760597 | ||||||||
\(640\) | −23.7405 | − | 4.13716i | −0.938427 | − | 0.163535i | ||||
\(641\) | −48.9069 | −1.93171 | −0.965853 | − | 0.259091i | \(-0.916577\pi\) | ||||
−0.965853 | + | 0.259091i | \(0.916577\pi\) | |||||||
\(642\) | −20.2134 | −0.797759 | ||||||||
\(643\) | 24.4145 | 0.962814 | 0.481407 | − | 0.876497i | \(-0.340126\pi\) | ||||
0.481407 | + | 0.876497i | \(0.340126\pi\) | |||||||
\(644\) | 0.0486227i | 0.00191600i | ||||||||
\(645\) | 3.29477 | − | 18.9066i | 0.129731 | − | 0.744447i | ||||
\(646\) | 3.40530i | 0.133980i | ||||||||
\(647\) | −21.3926 | −0.841028 | −0.420514 | − | 0.907286i | \(-0.638150\pi\) | ||||
−0.420514 | + | 0.907286i | \(0.638150\pi\) | |||||||
\(648\) | 2.86931 | 0.112717 | ||||||||
\(649\) | 3.95011i | 0.155055i | ||||||||
\(650\) | −28.6461 | − | 10.2967i | −1.12359 | − | 0.403871i | ||||
\(651\) | − | 1.56594i | − | 0.0613741i | ||||||
\(652\) | 1.18718 | 0.0464936 | ||||||||
\(653\) | 28.7548 | 1.12526 | 0.562631 | − | 0.826708i | \(-0.309789\pi\) | ||||
0.562631 | + | 0.826708i | \(0.309789\pi\) | |||||||
\(654\) | −7.58100 | −0.296440 | ||||||||
\(655\) | −2.63509 | + | 15.1211i | −0.102962 | + | 0.590831i | ||||
\(656\) | −9.72903 | −0.379855 | ||||||||
\(657\) | 9.22636i | 0.359954i | ||||||||
\(658\) | 3.36429 | 0.131154 | ||||||||
\(659\) | 36.1968 | 1.41003 | 0.705014 | − | 0.709193i | \(-0.250941\pi\) | ||||
0.705014 | + | 0.709193i | \(0.250941\pi\) | |||||||
\(660\) | 0.0230871 | − | 0.132482i | 0.000898665 | − | 0.00515687i | ||||
\(661\) | 26.4419i | 1.02847i | 0.857649 | + | 0.514235i | \(0.171924\pi\) | ||||
−0.857649 | + | 0.514235i | \(0.828076\pi\) | |||||||
\(662\) | − | 17.4819i | − | 0.679451i | ||||||
\(663\) | 1.87427i | 0.0727906i | ||||||||
\(664\) | 1.15560i | 0.0448461i | ||||||||
\(665\) | 4.32236 | + | 0.753239i | 0.167614 | + | 0.0292094i | ||||
\(666\) | 2.71748 | − | 8.02444i | 0.105300 | − | 0.310941i | ||||
\(667\) | − | 17.9272i | − | 0.694145i | ||||||
\(668\) | 0.451458 | 0.0174674 | ||||||||
\(669\) | −5.05112 | −0.195288 | ||||||||
\(670\) | 5.48765 | − | 31.4901i | 0.212006 | − | 1.21657i | ||||
\(671\) | 2.18717i | 0.0844346i | ||||||||
\(672\) | 0.116955 | 0.00451164 | ||||||||
\(673\) | − | 12.6452i | − | 0.487438i | −0.969846 | − | 0.243719i | \(-0.921633\pi\) | ||
0.969846 | − | 0.243719i | \(-0.0783674\pi\) | |||||||
\(674\) | − | 34.0121i | − | 1.31010i | ||||||
\(675\) | −1.69129 | + | 4.70527i | −0.0650979 | + | 0.181106i | ||||
\(676\) | −0.367013 | −0.0141159 | ||||||||
\(677\) | − | 24.2473i | − | 0.931900i | −0.884811 | − | 0.465950i | \(-0.845713\pi\) | ||
0.884811 | − | 0.465950i | \(-0.154287\pi\) | |||||||
\(678\) | 12.7204i | 0.488525i | ||||||||
\(679\) | 3.32547i | 0.127620i | ||||||||
\(680\) | −2.71024 | − | 0.472302i | −0.103933 | − | 0.0181119i | ||||
\(681\) | − | 13.1231i | − | 0.502878i | ||||||
\(682\) | 6.34223i | 0.242857i | ||||||||
\(683\) | 13.8062 | 0.528279 | 0.264140 | − | 0.964484i | \(-0.414912\pi\) | ||||
0.264140 | + | 0.964484i | \(0.414912\pi\) | |||||||
\(684\) | 0.342697i | 0.0131034i | ||||||||
\(685\) | −3.88206 | + | 22.2767i | −0.148326 | + | 0.851149i | ||||
\(686\) | 6.65328i | 0.254023i | ||||||||
\(687\) | − | 10.8507i | − | 0.413979i | ||||||
\(688\) | −33.2682 | −1.26834 | ||||||||
\(689\) | − | 32.4279i | − | 1.23540i | ||||||
\(690\) | −1.25700 | + | 7.21315i | −0.0478533 | + | 0.274600i | ||||
\(691\) | 19.4603 | 0.740303 | 0.370151 | − | 0.928971i | \(-0.379306\pi\) | ||||
0.370151 | + | 0.928971i | \(0.379306\pi\) | |||||||
\(692\) | − | 0.771307i | − | 0.0293207i | ||||||
\(693\) | − | 0.344343i | − | 0.0130805i | ||||||
\(694\) | 6.84431 | 0.259806 | ||||||||
\(695\) | −7.82768 | − | 1.36410i | −0.296921 | − | 0.0517431i | ||||
\(696\) | −21.8799 | −0.829354 | ||||||||
\(697\) | −1.07623 | −0.0407652 | ||||||||
\(698\) | 10.7136 | 0.405515 | ||||||||
\(699\) | −17.1449 | −0.648478 | ||||||||
\(700\) | −0.0349793 | + | 0.0973143i | −0.00132209 | + | 0.00367813i | ||||
\(701\) | 33.8058i | 1.27683i | 0.769694 | + | 0.638413i | \(0.220409\pi\) | ||||
−0.769694 | + | 0.638413i | \(0.779591\pi\) | |||||||
\(702\) | − | 6.08808i | − | 0.229780i | ||||||
\(703\) | 32.8511 | + | 11.1250i | 1.23900 | + | 0.419589i | ||||
\(704\) | −8.23112 | −0.310222 | ||||||||
\(705\) | −15.4627 | − | 2.69462i | −0.582359 | − | 0.101485i | ||||
\(706\) | 8.06218 | 0.303424 | ||||||||
\(707\) | 3.24663i | 0.122102i | ||||||||
\(708\) | 0.237252 | 0.00891648 | ||||||||
\(709\) | − | 17.1515i | − | 0.644137i | −0.946716 | − | 0.322069i | \(-0.895622\pi\) | ||
0.946716 | − | 0.322069i | \(-0.104378\pi\) | |||||||
\(710\) | −5.89906 | − | 1.02800i | −0.221388 | − | 0.0385803i | ||||
\(711\) | − | 14.3679i | − | 0.538839i | ||||||
\(712\) | − | 21.0751i | − | 0.789821i | ||||||
\(713\) | 10.6983i | 0.400655i | ||||||||
\(714\) | −0.205512 | −0.00769110 | ||||||||
\(715\) | −9.63527 | − | 1.67910i | −0.360339 | − | 0.0627946i | ||||
\(716\) | 0.445114i | 0.0166347i | ||||||||
\(717\) | −1.53255 | −0.0572341 | ||||||||
\(718\) | 32.5033 | 1.21301 | ||||||||
\(719\) | −20.0146 | −0.746419 | −0.373209 | − | 0.927747i | \(-0.621743\pi\) | ||||
−0.373209 | + | 0.927747i | \(0.621743\pi\) | |||||||
\(720\) | 8.53873 | + | 1.48801i | 0.318220 | + | 0.0554547i | ||||
\(721\) | − | 1.24077i | − | 0.0462088i | ||||||
\(722\) | 18.8203 | 0.700418 | ||||||||
\(723\) | −3.84894 | −0.143144 | ||||||||
\(724\) | 0.880015 | 0.0327055 | ||||||||
\(725\) | 12.8969 | − | 35.8798i | 0.478979 | − | 1.33254i | ||||
\(726\) | − | 13.9262i | − | 0.516850i | ||||||
\(727\) | 20.5563 | 0.762390 | 0.381195 | − | 0.924495i | \(-0.375513\pi\) | ||||
0.381195 | + | 0.924495i | \(0.375513\pi\) | |||||||
\(728\) | − | 4.31595i | − | 0.159960i | ||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −4.93310 | + | 28.3079i | −0.182582 | + | 1.04772i | ||||
\(731\) | −3.68015 | −0.136115 | ||||||||
\(732\) | 0.131366 | 0.00485543 | ||||||||
\(733\) | − | 4.14889i | − | 0.153243i | −0.997060 | − | 0.0766213i | \(-0.975587\pi\) | ||
0.997060 | − | 0.0766213i | \(-0.0244132\pi\) | |||||||
\(734\) | 1.38814i | 0.0512372i | ||||||||
\(735\) | 2.64173 | − | 15.1592i | 0.0974417 | − | 0.559157i | ||||
\(736\) | −0.799021 | −0.0294523 | ||||||||
\(737\) | − | 10.2702i | − | 0.378309i | ||||||
\(738\) | 3.49587 | 0.128685 | ||||||||
\(739\) | −47.3841 | −1.74305 | −0.871527 | − | 0.490348i | \(-0.836870\pi\) | ||||
−0.871527 | + | 0.490348i | \(0.836870\pi\) | |||||||
\(740\) | −0.391242 | + | 0.717764i | −0.0143823 | + | 0.0263855i | ||||
\(741\) | 24.9239 | 0.915603 | ||||||||
\(742\) | 3.55569 | 0.130534 | ||||||||
\(743\) | 7.43386i | 0.272722i | 0.990659 | + | 0.136361i | \(0.0435407\pi\) | ||||
−0.990659 | + | 0.136361i | \(0.956459\pi\) | |||||||
\(744\) | 13.0571 | 0.478696 | ||||||||
\(745\) | −34.0802 | − | 5.93901i | −1.24860 | − | 0.217588i | ||||
\(746\) | − | 35.4784i | − | 1.29896i | ||||||
\(747\) | − | 0.402746i | − | 0.0147357i | ||||||
\(748\) | −0.0257876 | −0.000942887 | ||||||||
\(749\) | 4.99410 | 0.182480 | ||||||||
\(750\) | −7.70495 | + | 13.5322i | −0.281345 | + | 0.494127i | ||||
\(751\) | 2.00815 | 0.0732786 | 0.0366393 | − | 0.999329i | \(-0.488335\pi\) | ||||
0.0366393 | + | 0.999329i | \(0.488335\pi\) | |||||||
\(752\) | 27.2083i | 0.992184i | ||||||||
\(753\) | 5.32686 | 0.194122 | ||||||||
\(754\) | 46.4245i | 1.69068i | ||||||||
\(755\) | −20.0842 | − | 3.49999i | −0.730940 | − | 0.127378i | ||||
\(756\) | −0.0206820 | −0.000752197 | ||||||||
\(757\) | 24.4281 | 0.887853 | 0.443926 | − | 0.896063i | \(-0.353585\pi\) | ||||
0.443926 | + | 0.896063i | \(0.353585\pi\) | |||||||
\(758\) | 19.1465 | 0.695433 | ||||||||
\(759\) | 2.35251i | 0.0853906i | ||||||||
\(760\) | −6.28064 | + | 36.0406i | −0.227823 | + | 1.30733i | ||||
\(761\) | 33.4813 | 1.21370 | 0.606848 | − | 0.794818i | \(-0.292434\pi\) | ||||
0.606848 | + | 0.794818i | \(0.292434\pi\) | |||||||
\(762\) | 29.2712 | 1.06038 | ||||||||
\(763\) | 1.87303 | 0.0678081 | ||||||||
\(764\) | 0.241202i | 0.00872638i | ||||||||
\(765\) | 0.944561 | + | 0.164604i | 0.0341507 | + | 0.00595129i | ||||
\(766\) | 43.9642 | 1.58849 | ||||||||
\(767\) | − | 17.2550i | − | 0.623044i | ||||||
\(768\) | 1.44112i | 0.0520019i | ||||||||
\(769\) | − | 39.7615i | − | 1.43384i | −0.697158 | − | 0.716918i | \(-0.745552\pi\) | ||
0.697158 | − | 0.716918i | \(-0.254448\pi\) | |||||||
\(770\) | 0.184112 | − | 1.05650i | 0.00663492 | − | 0.0380736i | ||||
\(771\) | 5.23877i | 0.188670i | ||||||||
\(772\) | −1.44599 | −0.0520422 | ||||||||
\(773\) | 17.4578i | 0.627912i | 0.949437 | + | 0.313956i | \(0.101655\pi\) | ||||
−0.949437 | + | 0.313956i | \(0.898345\pi\) | |||||||
\(774\) | 11.9540 | 0.429679 | ||||||||
\(775\) | −7.69640 | + | 21.4118i | −0.276463 | + | 0.769133i | ||||
\(776\) | −27.7284 | −0.995390 | ||||||||
\(777\) | −0.671404 | + | 1.98259i | −0.0240865 | + | 0.0711249i | ||||
\(778\) | − | 45.0647i | − | 1.61565i | ||||||
\(779\) | 14.3117i | 0.512769i | ||||||||
\(780\) | −0.100850 | + | 0.578715i | −0.00361102 | + | 0.0207213i | ||||
\(781\) | −1.92393 | −0.0688436 | ||||||||
\(782\) | 1.40403 | 0.0502081 | ||||||||
\(783\) | 7.62547 | 0.272512 | ||||||||
\(784\) | −26.6743 | −0.952653 | ||||||||
\(785\) | −5.10520 | + | 29.2955i | −0.182212 | + | 1.04560i | ||||
\(786\) | −9.56059 | −0.341015 | ||||||||
\(787\) | − | 2.56830i | − | 0.0915499i | −0.998952 | − | 0.0457749i | \(-0.985424\pi\) | ||
0.998952 | − | 0.0457749i | \(-0.0145757\pi\) | |||||||
\(788\) | − | 0.289683i | − | 0.0103195i | ||||||
\(789\) | 7.96305 | 0.283492 | ||||||||
\(790\) | 7.68216 | − | 44.0831i | 0.273319 | − | 1.56841i | ||||
\(791\) | − | 3.14282i | − | 0.111746i | ||||||
\(792\) | 2.87119 | 0.102023 | ||||||||
\(793\) | − | 9.55408i | − | 0.339275i | ||||||
\(794\) | 26.8772i | 0.953838i | ||||||||
\(795\) | −16.3424 | − | 2.84792i | −0.579606 | − | 0.101005i | ||||
\(796\) | − | 1.63347i | − | 0.0578967i | ||||||
\(797\) | 12.9875 | 0.460040 | 0.230020 | − | 0.973186i | \(-0.426121\pi\) | ||||
0.230020 | + | 0.973186i | \(0.426121\pi\) | |||||||
\(798\) | 2.73289i | 0.0967432i | ||||||||
\(799\) | 3.00980i | 0.106479i | ||||||||
\(800\) | −1.59917 | − | 0.574818i | −0.0565393 | − | 0.0203229i | ||||
\(801\) | 7.34498i | 0.259522i | ||||||||
\(802\) | − | 38.6449i | − | 1.36460i | ||||||
\(803\) | 9.23239i | 0.325804i | ||||||||
\(804\) | −0.616853 | −0.0217547 | ||||||||
\(805\) | 0.310566 | − | 1.78214i | 0.0109460 | − | 0.0628123i | ||||
\(806\) | − | 27.7044i | − | 0.975847i | ||||||
\(807\) | 9.37825i | 0.330130i | ||||||||
\(808\) | −27.0709 | −0.952352 | ||||||||
\(809\) | 32.4055i | 1.13932i | 0.821882 | + | 0.569658i | \(0.192924\pi\) | ||||
−0.821882 | + | 0.569658i | \(0.807076\pi\) | |||||||
\(810\) | −3.06816 | − | 0.534675i | −0.107804 | − | 0.0187866i | ||||
\(811\) | −9.17716 | −0.322254 | −0.161127 | − | 0.986934i | \(-0.551513\pi\) | ||||
−0.161127 | + | 0.986934i | \(0.551513\pi\) | |||||||
\(812\) | 0.157710 | 0.00553453 | ||||||||
\(813\) | − | 26.6529i | − | 0.934757i | ||||||
\(814\) | 2.71926 | − | 8.02969i | 0.0953099 | − | 0.281440i | ||||
\(815\) | −43.5132 | − | 7.58285i | −1.52420 | − | 0.265616i | ||||
\(816\) | − | 1.66206i | − | 0.0581836i | ||||||
\(817\) | 48.9384i | 1.71214i | ||||||||
\(818\) | − | 42.9302i | − | 1.50102i | ||||||
\(819\) | 1.50417i | 0.0525601i | ||||||||
\(820\) | −0.332307 | − | 0.0579096i | −0.0116047 | − | 0.00202229i | ||||
\(821\) | 21.9824 | 0.767190 | 0.383595 | − | 0.923501i | \(-0.374686\pi\) | ||||
0.383595 | + | 0.923501i | \(0.374686\pi\) | |||||||
\(822\) | −14.0848 | −0.491265 | ||||||||
\(823\) | 1.23098i | 0.0429092i | 0.999770 | + | 0.0214546i | \(0.00682974\pi\) | ||||
−0.999770 | + | 0.0214546i | \(0.993170\pi\) | |||||||
\(824\) | 10.3458 | 0.360412 | ||||||||
\(825\) | −1.69240 | + | 4.70834i | −0.0589218 | + | 0.163924i | ||||
\(826\) | 1.89200 | 0.0658312 | ||||||||
\(827\) | 41.6469 | 1.44820 | 0.724102 | − | 0.689693i | \(-0.242254\pi\) | ||||
0.724102 | + | 0.689693i | \(0.242254\pi\) | |||||||
\(828\) | 0.141297 | 0.00491040 | ||||||||
\(829\) | − | 24.0119i | − | 0.833969i | −0.908914 | − | 0.416985i | \(-0.863087\pi\) | ||
0.908914 | − | 0.416985i | \(-0.136913\pi\) | |||||||
\(830\) | 0.215338 | − | 1.23569i | 0.00747450 | − | 0.0428914i | ||||
\(831\) | − | 9.95700i | − | 0.345405i | ||||||
\(832\) | 35.9556 | 1.24653 | ||||||||
\(833\) | −2.95073 | −0.102237 | ||||||||
\(834\) | − | 4.94919i | − | 0.171376i | ||||||
\(835\) | −16.5471 | − | 2.88358i | −0.572635 | − | 0.0997905i | ||||
\(836\) | 0.342921i | 0.0118602i | ||||||||
\(837\) | −4.55060 | −0.157292 | ||||||||
\(838\) | 40.4120 | 1.39601 | ||||||||
\(839\) | −47.1610 | −1.62818 | −0.814090 | − | 0.580739i | \(-0.802764\pi\) | ||||
−0.814090 | + | 0.580739i | \(0.802764\pi\) | |||||||
\(840\) | −2.17507 | − | 0.379041i | −0.0750472 | − | 0.0130781i | ||||
\(841\) | −29.1477 | −1.00509 | ||||||||
\(842\) | 33.5693i | 1.15687i | ||||||||
\(843\) | 18.2638 | 0.629039 | ||||||||
\(844\) | −0.552108 | −0.0190043 | ||||||||
\(845\) | 13.4519 | + | 2.34421i | 0.462761 | + | 0.0806432i | ||||
\(846\) | − | 9.77657i | − | 0.336125i | ||||||
\(847\) | 3.44073i | 0.118225i | ||||||||
\(848\) | 28.7562i | 0.987493i | ||||||||
\(849\) | 18.6227i | 0.639128i | ||||||||
\(850\) | 2.81005 | + | 1.01007i | 0.0963841 | + | 0.0346450i | ||||
\(851\) | 4.58694 | − | 13.5448i | 0.157238 | − | 0.464309i | ||||
\(852\) | 0.115555i | 0.00395886i | ||||||||
\(853\) | 1.13310 | 0.0387967 | 0.0193983 | − | 0.999812i | \(-0.493825\pi\) | ||||
0.0193983 | + | 0.999812i | \(0.493825\pi\) | |||||||
\(854\) | 1.04760 | 0.0358480 | ||||||||
\(855\) | 2.18890 | − | 12.5607i | 0.0748588 | − | 0.429567i | ||||
\(856\) | 41.6416i | 1.42328i | ||||||||
\(857\) | 34.5092 | 1.17881 | 0.589406 | − | 0.807837i | \(-0.299362\pi\) | ||||
0.589406 | + | 0.807837i | \(0.299362\pi\) | |||||||
\(858\) | − | 6.09207i | − | 0.207980i | ||||||
\(859\) | 3.75019i | 0.127955i | 0.997951 | + | 0.0639774i | \(0.0203785\pi\) | ||||
−0.997951 | + | 0.0639774i | \(0.979621\pi\) | |||||||
\(860\) | −1.13632 | − | 0.198021i | −0.0387480 | − | 0.00675245i | ||||
\(861\) | −0.863719 | −0.0294355 | ||||||||
\(862\) | 27.1928i | 0.926189i | ||||||||
\(863\) | 9.79362i | 0.333379i | 0.986009 | + | 0.166689i | \(0.0533077\pi\) | ||||
−0.986009 | + | 0.166689i | \(0.946692\pi\) | |||||||
\(864\) | − | 0.339869i | − | 0.0115626i | ||||||
\(865\) | −4.92655 | + | 28.2703i | −0.167508 | + | 0.961220i | ||||
\(866\) | − | 39.3244i | − | 1.33630i | ||||||
\(867\) | 16.8161i | 0.571106i | ||||||||
\(868\) | −0.0941154 | −0.00319449 | ||||||||
\(869\) | − | 14.3773i | − | 0.487717i | ||||||
\(870\) | 23.3962 | + | 4.07715i | 0.793204 | + | 0.138228i | ||||
\(871\) | 44.8629i | 1.52012i | ||||||||
\(872\) | 15.6176i | 0.528879i | ||||||||
\(873\) | 9.66376 | 0.327069 | ||||||||
\(874\) | − | 18.6707i | − | 0.631547i | ||||||
\(875\) | 1.90365 | − | 3.34339i | 0.0643552 | − | 0.113027i | ||||
\(876\) | 0.554518 | 0.0187354 | ||||||||
\(877\) | − | 13.4128i | − | 0.452919i | −0.974021 | − | 0.226459i | \(-0.927285\pi\) | ||
0.974021 | − | 0.226459i | \(-0.0727150\pi\) | |||||||
\(878\) | − | 0.0556296i | − | 0.00187741i | ||||||
\(879\) | −29.8367 | −1.00637 | ||||||||
\(880\) | 8.54432 | + | 1.48898i | 0.288029 | + | 0.0501935i | ||||
\(881\) | 10.4429 | 0.351832 | 0.175916 | − | 0.984405i | \(-0.443711\pi\) | ||||
0.175916 | + | 0.984405i | \(0.443711\pi\) | |||||||
\(882\) | 9.58469 | 0.322733 | ||||||||
\(883\) | 32.1571 | 1.08217 | 0.541086 | − | 0.840967i | \(-0.318013\pi\) | ||||
0.541086 | + | 0.840967i | \(0.318013\pi\) | |||||||
\(884\) | 0.112646 | 0.00378871 | ||||||||
\(885\) | −8.69588 | − | 1.51539i | −0.292309 | − | 0.0509394i | ||||
\(886\) | 45.4378i | 1.52651i | ||||||||
\(887\) | − | 44.3996i | − | 1.49079i | −0.666621 | − | 0.745397i | \(-0.732260\pi\) | ||
0.666621 | − | 0.745397i | \(-0.267740\pi\) | |||||||
\(888\) | −16.5312 | − | 5.59828i | −0.554749 | − | 0.187866i | ||||
\(889\) | −7.23200 | −0.242554 | ||||||||
\(890\) | −3.92718 | + | 22.5356i | −0.131639 | + | 0.755395i | ||||
\(891\) | −1.00065 | −0.0335232 | ||||||||
\(892\) | 0.303580i | 0.0101646i | ||||||||
\(893\) | 40.0242 | 1.33936 | ||||||||
\(894\) | − | 21.5478i | − | 0.720667i | ||||||
\(895\) | 2.84306 | − | 16.3145i | 0.0950330 | − | 0.545334i | ||||
\(896\) | 3.70859i | 0.123895i | ||||||||
\(897\) | − | 10.2763i | − | 0.343116i | ||||||
\(898\) | 11.0770i | 0.369644i | ||||||||
\(899\) | 34.7004 | 1.15732 | ||||||||
\(900\) | 0.282793 | + | 0.101649i | 0.00942645 | + | 0.00338831i | ||||
\(901\) | 3.18104i | 0.105976i | ||||||||
\(902\) | 3.49815 | 0.116476 | ||||||||
\(903\) | −2.95347 | −0.0982852 | ||||||||
\(904\) | 26.2054 | 0.871577 | ||||||||
\(905\) | −32.2547 | − | 5.62089i | −1.07218 | − | 0.186845i | ||||
\(906\) | − | 12.6986i | − | 0.421883i | ||||||
\(907\) | 3.69899 | 0.122823 | 0.0614115 | − | 0.998113i | \(-0.480440\pi\) | ||||
0.0614115 | + | 0.998113i | \(0.480440\pi\) | |||||||
\(908\) | −0.788718 | −0.0261745 | ||||||||
\(909\) | 9.43463 | 0.312927 | ||||||||
\(910\) | −0.804245 | + | 4.61505i | −0.0266605 | + | 0.152987i | ||||
\(911\) | − | 42.9518i | − | 1.42306i | −0.702658 | − | 0.711528i | \(-0.748003\pi\) | ||
0.702658 | − | 0.711528i | \(-0.251997\pi\) | |||||||
\(912\) | −22.1019 | −0.731867 | ||||||||
\(913\) | − | 0.403009i | − | 0.0133377i | ||||||
\(914\) | −15.9824 | −0.528649 | ||||||||
\(915\) | −4.81489 | − | 0.839070i | −0.159175 | − | 0.0277388i | ||||
\(916\) | −0.652141 | −0.0215473 | ||||||||
\(917\) | 2.36212 | 0.0780042 | ||||||||
\(918\) | 0.597215i | 0.0197110i | ||||||||
\(919\) | 17.4354i | 0.575142i | 0.957759 | + | 0.287571i | \(0.0928477\pi\) | ||||
−0.957759 | + | 0.287571i | \(0.907152\pi\) | |||||||
\(920\) | 14.8598 | + | 2.58956i | 0.489914 | + | 0.0853751i | ||||
\(921\) | −19.6530 | −0.647588 | ||||||||
\(922\) | − | 1.67115i | − | 0.0550363i | ||||||
\(923\) | 8.40419 | 0.276627 | ||||||||
\(924\) | −0.0206955 | −0.000680833 | ||||||||
\(925\) | 18.9245 | − | 23.8089i | 0.622235 | − | 0.782831i | ||||
\(926\) | 14.3089 | 0.470219 | ||||||||
\(927\) | −3.60566 | −0.118425 | ||||||||
\(928\) | 2.59166i | 0.0850754i | ||||||||
\(929\) | −47.5276 | −1.55933 | −0.779666 | − | 0.626196i | \(-0.784611\pi\) | ||||
−0.779666 | + | 0.626196i | \(0.784611\pi\) | |||||||
\(930\) | −13.9620 | − | 2.43309i | −0.457831 | − | 0.0797842i | ||||
\(931\) | 39.2386i | 1.28599i | ||||||||
\(932\) | 1.03043i | 0.0337529i | ||||||||
\(933\) | −23.0782 | −0.755545 | ||||||||
\(934\) | 51.7955 | 1.69480 | ||||||||
\(935\) | 0.945179 | + | 0.164712i | 0.0309106 | + | 0.00538666i | ||||
\(936\) | −12.5421 | −0.409950 | ||||||||
\(937\) | − | 40.3594i | − | 1.31848i | −0.751931 | − | 0.659241i | \(-0.770878\pi\) | ||
0.751931 | − | 0.659241i | \(-0.229122\pi\) | |||||||
\(938\) | −4.91918 | −0.160617 | ||||||||
\(939\) | 12.0135i | 0.392046i | ||||||||
\(940\) | −0.161951 | + | 0.929332i | −0.00528224 | + | 0.0303115i | ||||
\(941\) | −47.6850 | −1.55449 | −0.777244 | − | 0.629199i | \(-0.783383\pi\) | ||||
−0.777244 | + | 0.629199i | \(0.783383\pi\) | |||||||
\(942\) | −18.5226 | −0.603499 | ||||||||
\(943\) | 5.90081 | 0.192157 | ||||||||
\(944\) | 15.3013i | 0.498016i | ||||||||
\(945\) | 0.758047 | + | 0.132101i | 0.0246593 | + | 0.00429726i | ||||
\(946\) | 11.9619 | 0.388913 | ||||||||
\(947\) | −33.1655 | −1.07773 | −0.538866 | − | 0.842391i | \(-0.681147\pi\) | ||||
−0.538866 | + | 0.842391i | \(0.681147\pi\) | |||||||
\(948\) | −0.863533 | −0.0280462 | ||||||||
\(949\) | − | 40.3294i | − | 1.30915i | ||||||
\(950\) | 13.4318 | − | 37.3679i | 0.435785 | − | 1.21238i | ||||
\(951\) | −9.84245 | −0.319163 | ||||||||
\(952\) | 0.423376i | 0.0137217i | ||||||||
\(953\) | 35.1011i | 1.13704i | 0.822671 | + | 0.568518i | \(0.192483\pi\) | ||||
−0.822671 | + | 0.568518i | \(0.807517\pi\) | |||||||
\(954\) | − | 10.3328i | − | 0.334536i | ||||||
\(955\) | 1.54062 | − | 8.84065i | 0.0498533 | − | 0.286077i | ||||
\(956\) | 0.0921085i | 0.00297900i | ||||||||
\(957\) | 7.63045 | 0.246658 | ||||||||
\(958\) | − | 13.5625i | − | 0.438183i | ||||||
\(959\) | 3.47992 | 0.112372 | ||||||||
\(960\) | 3.15773 | − | 18.1202i | 0.101915 | − | 0.584828i | ||||
\(961\) | 10.2921 | 0.332002 | ||||||||
\(962\) | −11.8784 | + | 35.0756i | −0.382974 | + | 1.13088i | ||||
\(963\) | − | 14.5128i | − | 0.467667i | ||||||
\(964\) | 0.231327i | 0.00745054i | ||||||||
\(965\) | 52.9991 | + | 9.23591i | 1.70610 | + | 0.297315i | ||||
\(966\) | 1.12679 | 0.0362539 | ||||||||
\(967\) | −23.1104 | −0.743180 | −0.371590 | − | 0.928397i | \(-0.621187\pi\) | ||||
−0.371590 | + | 0.928397i | \(0.621187\pi\) | |||||||
\(968\) | −28.6894 | −0.922112 | ||||||||
\(969\) | −2.44493 | −0.0785425 | ||||||||
\(970\) | 29.6500 | + | 5.16697i | 0.952003 | + | 0.165901i | ||||
\(971\) | −31.6046 | −1.01424 | −0.507120 | − | 0.861875i | \(-0.669290\pi\) | ||||
−0.507120 | + | 0.861875i | \(0.669290\pi\) | |||||||
\(972\) | 0.0601015i | 0.00192776i | ||||||||
\(973\) | 1.22279i | 0.0392008i | ||||||||
\(974\) | 49.6652 | 1.59138 | ||||||||
\(975\) | 7.39282 | − | 20.5672i | 0.236760 | − | 0.658678i | ||||
\(976\) | 8.47232i | 0.271192i | ||||||||
\(977\) | −19.9276 | −0.637539 | −0.318770 | − | 0.947832i | \(-0.603270\pi\) | ||||
−0.318770 | + | 0.947832i | \(0.603270\pi\) | |||||||
\(978\) | − | 27.5120i | − | 0.879735i | ||||||
\(979\) | 7.34979i | 0.234900i | ||||||||
\(980\) | −0.911092 | − | 0.158772i | −0.0291038 | − | 0.00507179i | ||||
\(981\) | − | 5.44298i | − | 0.173781i | ||||||
\(982\) | −36.8523 | −1.17600 | ||||||||
\(983\) | − | 21.5507i | − | 0.687361i | −0.939087 | − | 0.343680i | \(-0.888326\pi\) | ||
0.939087 | − | 0.343680i | \(-0.111674\pi\) | |||||||
\(984\) | − | 7.20184i | − | 0.229586i | ||||||
\(985\) | −1.85028 | + | 10.6176i | −0.0589549 | + | 0.338305i | ||||
\(986\) | − | 4.55404i | − | 0.145030i | ||||||
\(987\) | 2.41548i | 0.0768857i | ||||||||
\(988\) | − | 1.49796i | − | 0.0476566i | ||||||
\(989\) | 20.1777 | 0.641613 | ||||||||
\(990\) | −3.07017 | − | 0.535025i | −0.0975764 | − | 0.0170042i | ||||
\(991\) | 12.5861i | 0.399810i | 0.979815 | + | 0.199905i | \(0.0640633\pi\) | ||||
−0.979815 | + | 0.199905i | \(0.935937\pi\) | |||||||
\(992\) | − | 1.54661i | − | 0.0491048i | ||||||
\(993\) | 12.5516 | 0.398312 | ||||||||
\(994\) | 0.921513i | 0.0292286i | ||||||||
\(995\) | −10.4334 | + | 59.8706i | −0.330761 | + | 1.89803i | ||||
\(996\) | −0.0242056 | −0.000766984 | ||||||||
\(997\) | 57.5782 | 1.82352 | 0.911760 | − | 0.410723i | \(-0.134724\pi\) | ||||
0.911760 | + | 0.410723i | \(0.134724\pi\) | |||||||
\(998\) | 21.1115i | 0.668272i | ||||||||
\(999\) | 5.76136 | + | 1.95109i | 0.182281 | + | 0.0617296i |
(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 | 555.2.g.a.184.13 | ✓ | 40 | |
3.2 | odd | 2 | 1665.2.g.e.739.28 | 40 | |||
5.4 | even | 2 | inner | 555.2.g.a.184.28 | yes | 40 | |
15.14 | odd | 2 | 1665.2.g.e.739.13 | 40 | |||
37.36 | even | 2 | inner | 555.2.g.a.184.27 | yes | 40 | |
111.110 | odd | 2 | 1665.2.g.e.739.14 | 40 | |||
185.184 | even | 2 | inner | 555.2.g.a.184.14 | yes | 40 | |
555.554 | odd | 2 | 1665.2.g.e.739.27 | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
555.2.g.a.184.13 | ✓ | 40 | 1.1 | even | 1 | trivial | |
555.2.g.a.184.14 | yes | 40 | 185.184 | even | 2 | inner | |
555.2.g.a.184.27 | yes | 40 | 37.36 | even | 2 | inner | |
555.2.g.a.184.28 | yes | 40 | 5.4 | even | 2 | inner | |
1665.2.g.e.739.13 | 40 | 15.14 | odd | 2 | |||
1665.2.g.e.739.14 | 40 | 111.110 | odd | 2 | |||
1665.2.g.e.739.27 | 40 | 555.554 | odd | 2 | |||
1665.2.g.e.739.28 | 40 | 3.2 | odd | 2 |