Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [336,2,Mod(155,336)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(336, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("336.155");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 336 = 2^{4} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 336.s (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.68297350792\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(24\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 155.2 | ||
Character | \(\chi\) | \(=\) | 336.155 |
Dual form | 336.2.s.d.323.2 |
$q$-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 \(\left(\mathbb{Z}/336\mathbb{Z}\right)^\times\).
\(n\) | \(85\) | \(113\) | \(127\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.31976 | − | 0.508179i | −0.933208 | − | 0.359337i | ||||
\(3\) | 1.45100 | − | 0.945839i | 0.837733 | − | 0.546080i | ||||
\(4\) | 1.48351 | + | 1.34134i | 0.741754 | + | 0.670672i | ||||
\(5\) | 1.69539 | − | 1.69539i | 0.758200 | − | 0.758200i | −0.217794 | − | 0.975995i | \(-0.569886\pi\) |
0.975995 | + | 0.217794i | \(0.0698862\pi\) | |||||||
\(6\) | −2.39561 | + | 0.510910i | −0.978006 | + | 0.208578i | ||||
\(7\) | 1.00000 | 0.377964 | ||||||||
\(8\) | −1.27623 | − | 2.52413i | −0.451214 | − | 0.892416i | ||||
\(9\) | 1.21078 | − | 2.74482i | 0.403593 | − | 0.914939i | ||||
\(10\) | −3.09906 | + | 1.37594i | −0.980008 | + | 0.435109i | ||||
\(11\) | 0.445358 | + | 0.445358i | 0.134281 | + | 0.134281i | 0.771052 | − | 0.636772i | \(-0.219731\pi\) |
−0.636772 | + | 0.771052i | \(0.719731\pi\) | |||||||
\(12\) | 3.42126 | + | 0.543124i | 0.987633 | + | 0.156786i | ||||
\(13\) | −1.51259 | + | 1.51259i | −0.419518 | + | 0.419518i | −0.885038 | − | 0.465519i | \(-0.845868\pi\) |
0.465519 | + | 0.885038i | \(0.345868\pi\) | |||||||
\(14\) | −1.31976 | − | 0.508179i | −0.352719 | − | 0.135816i | ||||
\(15\) | 0.856437 | − | 4.06356i | 0.221131 | − | 1.04921i | ||||
\(16\) | 0.401596 | + | 3.97979i | 0.100399 | + | 0.994947i | ||||
\(17\) | − | 1.39276i | − | 0.337795i | −0.985634 | − | 0.168897i | \(-0.945979\pi\) | ||
0.985634 | − | 0.168897i | \(-0.0540207\pi\) | |||||||
\(18\) | −2.99279 | + | 3.00719i | −0.705407 | + | 0.708802i | ||||
\(19\) | 0.965003 | + | 0.965003i | 0.221387 | + | 0.221387i | 0.809082 | − | 0.587695i | \(-0.199965\pi\) |
−0.587695 | + | 0.809082i | \(0.699965\pi\) | |||||||
\(20\) | 4.78922 | − | 0.241025i | 1.07090 | − | 0.0538948i | ||||
\(21\) | 1.45100 | − | 0.945839i | 0.316633 | − | 0.206399i | ||||
\(22\) | −0.361442 | − | 0.814086i | −0.0770598 | − | 0.173564i | ||||
\(23\) | 6.04660i | 1.26080i | 0.776269 | + | 0.630402i | \(0.217110\pi\) | ||||
−0.776269 | + | 0.630402i | \(0.782890\pi\) | |||||||
\(24\) | −4.23922 | − | 2.45540i | −0.865327 | − | 0.501207i | ||||
\(25\) | − | 0.748676i | − | 0.149735i | ||||||
\(26\) | 2.76492 | − | 1.22759i | 0.542246 | − | 0.240749i | ||||
\(27\) | −0.839319 | − | 5.12792i | −0.161527 | − | 0.986868i | ||||
\(28\) | 1.48351 | + | 1.34134i | 0.280357 | + | 0.253490i | ||||
\(29\) | −4.93200 | − | 4.93200i | −0.915849 | − | 0.915849i | 0.0808754 | − | 0.996724i | \(-0.474228\pi\) |
−0.996724 | + | 0.0808754i | \(0.974228\pi\) | |||||||
\(30\) | −3.19530 | + | 4.92769i | −0.583380 | + | 0.899668i | ||||
\(31\) | − | 0.470285i | − | 0.0844657i | −0.999108 | − | 0.0422328i | \(-0.986553\pi\) | ||
0.999108 | − | 0.0422328i | \(-0.0134471\pi\) | |||||||
\(32\) | 1.49244 | − | 5.45643i | 0.263828 | − | 0.964570i | ||||
\(33\) | 1.06745 | + | 0.224976i | 0.185819 | + | 0.0391633i | ||||
\(34\) | −0.707773 | + | 1.83811i | −0.121382 | + | 0.315233i | ||||
\(35\) | 1.69539 | − | 1.69539i | 0.286573 | − | 0.286573i | ||||
\(36\) | 5.47794 | − | 2.44789i | 0.912990 | − | 0.407981i | ||||
\(37\) | 1.47646 | + | 1.47646i | 0.242729 | + | 0.242729i | 0.817978 | − | 0.575249i | \(-0.195095\pi\) |
−0.575249 | + | 0.817978i | \(0.695095\pi\) | |||||||
\(38\) | −0.783174 | − | 1.76396i | −0.127048 | − | 0.286152i | ||||
\(39\) | −0.764098 | + | 3.62544i | −0.122354 | + | 0.580535i | ||||
\(40\) | −6.44308 | − | 2.11569i | −1.01874 | − | 0.334519i | ||||
\(41\) | −8.35300 | −1.30452 | −0.652260 | − | 0.757996i | \(-0.726179\pi\) | ||||
−0.652260 | + | 0.757996i | \(0.726179\pi\) | |||||||
\(42\) | −2.39561 | + | 0.510910i | −0.369651 | + | 0.0788352i | ||||
\(43\) | 8.97272 | − | 8.97272i | 1.36833 | − | 1.36833i | 0.505500 | − | 0.862827i | \(-0.331308\pi\) |
0.862827 | − | 0.505500i | \(-0.168692\pi\) | |||||||
\(44\) | 0.0633144 | + | 1.25807i | 0.00954501 | + | 0.189661i | ||||
\(45\) | −2.60079 | − | 6.70626i | −0.387703 | − | 0.999711i | ||||
\(46\) | 3.07275 | − | 7.98003i | 0.453053 | − | 1.17659i | ||||
\(47\) | −4.84660 | −0.706949 | −0.353475 | − | 0.935444i | \(-0.615000\pi\) | ||||
−0.353475 | + | 0.935444i | \(0.615000\pi\) | |||||||
\(48\) | 4.34695 | + | 5.39481i | 0.627428 | + | 0.778674i | ||||
\(49\) | 1.00000 | 0.142857 | ||||||||
\(50\) | −0.380461 | + | 0.988069i | −0.0538053 | + | 0.139734i | ||||
\(51\) | −1.31733 | − | 2.02089i | −0.184463 | − | 0.282982i | ||||
\(52\) | −4.27286 | + | 0.215038i | −0.592538 | + | 0.0298204i | ||||
\(53\) | 3.42232 | − | 3.42232i | 0.470092 | − | 0.470092i | −0.431852 | − | 0.901944i | \(-0.642140\pi\) |
0.901944 | + | 0.431852i | \(0.142140\pi\) | |||||||
\(54\) | −1.49820 | + | 7.19412i | −0.203880 | + | 0.978996i | ||||
\(55\) | 1.51011 | 0.203623 | ||||||||
\(56\) | −1.27623 | − | 2.52413i | −0.170543 | − | 0.337301i | ||||
\(57\) | 2.31295 | + | 0.487478i | 0.306358 | + | 0.0645681i | ||||
\(58\) | 4.00269 | + | 9.01537i | 0.525579 | + | 1.18378i | ||||
\(59\) | 6.61989 | + | 6.61989i | 0.861836 | + | 0.861836i | 0.991551 | − | 0.129715i | \(-0.0414064\pi\) |
−0.129715 | + | 0.991551i | \(0.541406\pi\) | |||||||
\(60\) | 6.72116 | − | 4.87955i | 0.867699 | − | 0.629948i | ||||
\(61\) | −8.04415 | + | 8.04415i | −1.02995 | + | 1.02995i | −0.0304110 | + | 0.999537i | \(0.509682\pi\) |
−0.999537 | + | 0.0304110i | \(0.990318\pi\) | |||||||
\(62\) | −0.238989 | + | 0.620661i | −0.0303516 | + | 0.0788240i | ||||
\(63\) | 1.21078 | − | 2.74482i | 0.152544 | − | 0.345814i | ||||
\(64\) | −4.74249 | + | 6.44273i | −0.592812 | + | 0.805341i | ||||
\(65\) | 5.12887i | 0.636158i | ||||||||
\(66\) | −1.29445 | − | 0.839369i | −0.159335 | − | 0.103319i | ||||
\(67\) | 4.38159 | + | 4.38159i | 0.535296 | + | 0.535296i | 0.922144 | − | 0.386847i | \(-0.126436\pi\) |
−0.386847 | + | 0.922144i | \(0.626436\pi\) | |||||||
\(68\) | 1.86817 | − | 2.06618i | 0.226549 | − | 0.250561i | ||||
\(69\) | 5.71911 | + | 8.77359i | 0.688500 | + | 1.05622i | ||||
\(70\) | −3.09906 | + | 1.37594i | −0.370408 | + | 0.164456i | ||||
\(71\) | 12.3448i | 1.46506i | 0.680737 | + | 0.732528i | \(0.261660\pi\) | ||||
−0.680737 | + | 0.732528i | \(0.738340\pi\) | |||||||
\(72\) | −8.47351 | + | 0.446841i | −0.998612 | + | 0.0526607i | ||||
\(73\) | − | 14.0195i | − | 1.64086i | −0.571750 | − | 0.820428i | \(-0.693735\pi\) | ||
0.571750 | − | 0.820428i | \(-0.306265\pi\) | |||||||
\(74\) | −1.19826 | − | 2.69887i | −0.139295 | − | 0.313738i | ||||
\(75\) | −0.708126 | − | 1.08633i | −0.0817674 | − | 0.125438i | ||||
\(76\) | 0.137190 | + | 2.72599i | 0.0157367 | + | 0.312693i | ||||
\(77\) | 0.445358 | + | 0.445358i | 0.0507533 | + | 0.0507533i | ||||
\(78\) | 2.85079 | − | 4.39639i | 0.322789 | − | 0.497794i | ||||
\(79\) | 16.5847i | 1.86592i | 0.359974 | + | 0.932962i | \(0.382786\pi\) | ||||
−0.359974 | + | 0.932962i | \(0.617214\pi\) | |||||||
\(80\) | 7.42814 | + | 6.06642i | 0.830492 | + | 0.678247i | ||||
\(81\) | −6.06803 | − | 6.64673i | −0.674226 | − | 0.738525i | ||||
\(82\) | 11.0239 | + | 4.24482i | 1.21739 | + | 0.468762i | ||||
\(83\) | −9.24664 | + | 9.24664i | −1.01495 | + | 1.01495i | −0.0150642 | + | 0.999887i | \(0.504795\pi\) |
−0.999887 | + | 0.0150642i | \(0.995205\pi\) | |||||||
\(84\) | 3.42126 | + | 0.543124i | 0.373290 | + | 0.0592597i | ||||
\(85\) | −2.36127 | − | 2.36127i | −0.256116 | − | 0.256116i | ||||
\(86\) | −16.4015 | + | 7.28205i | −1.76862 | + | 0.785243i | ||||
\(87\) | −11.8212 | − | 2.49143i | −1.26736 | − | 0.267110i | ||||
\(88\) | 0.555766 | − | 1.69252i | 0.0592448 | − | 0.180423i | ||||
\(89\) | 5.25384 | 0.556906 | 0.278453 | − | 0.960450i | \(-0.410178\pi\) | ||||
0.278453 | + | 0.960450i | \(0.410178\pi\) | |||||||
\(90\) | 0.0244230 | + | 10.1723i | 0.00257441 | + | 1.07225i | ||||
\(91\) | −1.51259 | + | 1.51259i | −0.158563 | + | 0.158563i | ||||
\(92\) | −8.11057 | + | 8.97018i | −0.845585 | + | 0.935206i | ||||
\(93\) | −0.444814 | − | 0.682381i | −0.0461250 | − | 0.0707597i | ||||
\(94\) | 6.39633 | + | 2.46294i | 0.659731 | + | 0.254033i | ||||
\(95\) | 3.27211 | 0.335711 | ||||||||
\(96\) | −2.99538 | − | 9.32886i | −0.305715 | − | 0.952123i | ||||
\(97\) | 5.17660 | 0.525604 | 0.262802 | − | 0.964850i | \(-0.415353\pi\) | ||||
0.262802 | + | 0.964850i | \(0.415353\pi\) | |||||||
\(98\) | −1.31976 | − | 0.508179i | −0.133315 | − | 0.0513338i | ||||
\(99\) | 1.76166 | − | 0.683197i | 0.177053 | − | 0.0686638i | ||||
\(100\) | 1.00423 | − | 1.11067i | 0.100423 | − | 0.111067i | ||||
\(101\) | −2.41310 | + | 2.41310i | −0.240112 | + | 0.240112i | −0.816896 | − | 0.576784i | \(-0.804307\pi\) |
0.576784 | + | 0.816896i | \(0.304307\pi\) | |||||||
\(102\) | 0.711577 | + | 3.33653i | 0.0704567 | + | 0.330365i | ||||
\(103\) | −5.77249 | −0.568780 | −0.284390 | − | 0.958709i | \(-0.591791\pi\) | ||||
−0.284390 | + | 0.958709i | \(0.591791\pi\) | |||||||
\(104\) | 5.74840 | + | 1.88758i | 0.563677 | + | 0.185092i | ||||
\(105\) | 0.856437 | − | 4.06356i | 0.0835797 | − | 0.396563i | ||||
\(106\) | −6.25578 | + | 2.77748i | −0.607615 | + | 0.269772i | ||||
\(107\) | 11.2943 | + | 11.2943i | 1.09186 | + | 1.09186i | 0.995330 | + | 0.0965337i | \(0.0307756\pi\) |
0.0965337 | + | 0.995330i | \(0.469224\pi\) | |||||||
\(108\) | 5.63316 | − | 8.73313i | 0.542051 | − | 0.840345i | ||||
\(109\) | −7.78278 | + | 7.78278i | −0.745455 | + | 0.745455i | −0.973622 | − | 0.228167i | \(-0.926727\pi\) |
0.228167 | + | 0.973622i | \(0.426727\pi\) | |||||||
\(110\) | −1.99298 | − | 0.767406i | −0.190023 | − | 0.0731693i | ||||
\(111\) | 3.53883 | + | 0.745845i | 0.335891 | + | 0.0707925i | ||||
\(112\) | 0.401596 | + | 3.97979i | 0.0379472 | + | 0.376055i | ||||
\(113\) | − | 1.12705i | − | 0.106024i | −0.998594 | − | 0.0530119i | \(-0.983118\pi\) | ||
0.998594 | − | 0.0530119i | \(-0.0168821\pi\) | |||||||
\(114\) | −2.80481 | − | 1.81875i | −0.262694 | − | 0.170341i | ||||
\(115\) | 10.2513 | + | 10.2513i | 0.955941 | + | 0.955941i | ||||
\(116\) | −0.701158 | − | 13.9322i | −0.0651009 | − | 1.29357i | ||||
\(117\) | 2.32038 | + | 5.98321i | 0.214519 | + | 0.553148i | ||||
\(118\) | −5.37254 | − | 12.1007i | −0.494583 | − | 1.11396i | ||||
\(119\) | − | 1.39276i | − | 0.127674i | ||||||
\(120\) | −11.3500 | + | 3.02426i | −1.03611 | + | 0.276076i | ||||
\(121\) | − | 10.6033i | − | 0.963937i | ||||||
\(122\) | 14.7042 | − | 6.52845i | 1.33125 | − | 0.591058i | ||||
\(123\) | −12.1202 | + | 7.90059i | −1.09284 | + | 0.712372i | ||||
\(124\) | 0.630814 | − | 0.697672i | 0.0566487 | − | 0.0626528i | ||||
\(125\) | 7.20764 | + | 7.20764i | 0.644671 | + | 0.644671i | ||||
\(126\) | −2.99279 | + | 3.00719i | −0.266619 | + | 0.267902i | ||||
\(127\) | − | 2.20449i | − | 0.195617i | −0.995205 | − | 0.0978084i | \(-0.968817\pi\) | ||
0.995205 | − | 0.0978084i | \(-0.0311832\pi\) | |||||||
\(128\) | 9.53299 | − | 6.09279i | 0.842605 | − | 0.538532i | ||||
\(129\) | 4.53263 | − | 21.5061i | 0.399076 | − | 1.89351i | ||||
\(130\) | 2.60638 | − | 6.76885i | 0.228595 | − | 0.593667i | ||||
\(131\) | 10.5553 | − | 10.5553i | 0.922222 | − | 0.922222i | −0.0749639 | − | 0.997186i | \(-0.523884\pi\) |
0.997186 | + | 0.0749639i | \(0.0238841\pi\) | |||||||
\(132\) | 1.28180 | + | 1.76557i | 0.111567 | + | 0.153673i | ||||
\(133\) | 0.965003 | + | 0.965003i | 0.0836764 | + | 0.0836764i | ||||
\(134\) | −3.55599 | − | 8.00926i | −0.307191 | − | 0.691894i | ||||
\(135\) | −10.1168 | − | 7.27084i | −0.870714 | − | 0.625774i | ||||
\(136\) | −3.51552 | + | 1.77748i | −0.301453 | + | 0.152418i | ||||
\(137\) | −11.4183 | −0.975529 | −0.487764 | − | 0.872975i | \(-0.662187\pi\) | ||||
−0.487764 | + | 0.872975i | \(0.662187\pi\) | |||||||
\(138\) | −3.08927 | − | 14.4853i | −0.262976 | − | 1.23307i | ||||
\(139\) | 6.59016 | − | 6.59016i | 0.558970 | − | 0.558970i | −0.370044 | − | 0.929014i | \(-0.620658\pi\) |
0.929014 | + | 0.370044i | \(0.120658\pi\) | |||||||
\(140\) | 4.78922 | − | 0.241025i | 0.404763 | − | 0.0203703i | ||||
\(141\) | −7.03240 | + | 4.58410i | −0.592235 | + | 0.386051i | ||||
\(142\) | 6.27336 | − | 16.2921i | 0.526448 | − | 1.36720i | ||||
\(143\) | −1.34729 | −0.112666 | ||||||||
\(144\) | 11.4100 | + | 3.71634i | 0.950836 | + | 0.309695i | ||||
\(145\) | −16.7233 | −1.38879 | ||||||||
\(146\) | −7.12440 | + | 18.5023i | −0.589620 | + | 1.53126i | ||||
\(147\) | 1.45100 | − | 0.945839i | 0.119676 | − | 0.0780115i | ||||
\(148\) | 0.209901 | + | 4.17078i | 0.0172538 | + | 0.342836i | ||||
\(149\) | −7.72246 | + | 7.72246i | −0.632649 | + | 0.632649i | −0.948732 | − | 0.316083i | \(-0.897632\pi\) |
0.316083 | + | 0.948732i | \(0.397632\pi\) | |||||||
\(150\) | 0.382506 | + | 1.79354i | 0.0312315 | + | 0.146442i | ||||
\(151\) | −20.3662 | −1.65738 | −0.828690 | − | 0.559709i | \(-0.810913\pi\) | ||||
−0.828690 | + | 0.559709i | \(0.810913\pi\) | |||||||
\(152\) | 1.20423 | − | 3.66736i | 0.0976762 | − | 0.297462i | ||||
\(153\) | −3.82288 | − | 1.68633i | −0.309062 | − | 0.136332i | ||||
\(154\) | −0.361442 | − | 0.814086i | −0.0291259 | − | 0.0656009i | ||||
\(155\) | −0.797315 | − | 0.797315i | −0.0640419 | − | 0.0640419i | ||||
\(156\) | −5.99650 | + | 4.35345i | −0.480105 | + | 0.348555i | ||||
\(157\) | 10.2467 | − | 10.2467i | 0.817779 | − | 0.817779i | −0.168007 | − | 0.985786i | \(-0.553733\pi\) |
0.985786 | + | 0.168007i | \(0.0537331\pi\) | |||||||
\(158\) | 8.42800 | − | 21.8878i | 0.670495 | − | 1.74130i | ||||
\(159\) | 1.72881 | − | 8.20274i | 0.137104 | − | 0.650520i | ||||
\(160\) | −6.72050 | − | 11.7810i | −0.531303 | − | 0.931371i | ||||
\(161\) | 6.04660i | 0.476539i | ||||||||
\(162\) | 4.63059 | + | 11.8557i | 0.363814 | + | 0.931472i | ||||
\(163\) | 1.79718 | + | 1.79718i | 0.140766 | + | 0.140766i | 0.773978 | − | 0.633212i | \(-0.218264\pi\) |
−0.633212 | + | 0.773978i | \(0.718264\pi\) | |||||||
\(164\) | −12.3917 | − | 11.2042i | −0.967633 | − | 0.874904i | ||||
\(165\) | 2.19116 | − | 1.42832i | 0.170582 | − | 0.111195i | ||||
\(166\) | 16.9023 | − | 7.50436i | 1.31187 | − | 0.582451i | ||||
\(167\) | − | 16.1405i | − | 1.24899i | −0.781028 | − | 0.624496i | \(-0.785304\pi\) | ||
0.781028 | − | 0.624496i | \(-0.214696\pi\) | |||||||
\(168\) | −4.23922 | − | 2.45540i | −0.327063 | − | 0.189438i | ||||
\(169\) | 8.42412i | 0.648009i | ||||||||
\(170\) | 1.91635 | + | 4.31625i | 0.146978 | + | 0.331041i | ||||
\(171\) | 3.81716 | − | 1.48035i | 0.291906 | − | 0.113205i | ||||
\(172\) | 25.3466 | − | 1.27561i | 1.93266 | − | 0.0972642i | ||||
\(173\) | 9.68789 | + | 9.68789i | 0.736557 | + | 0.736557i | 0.971910 | − | 0.235353i | \(-0.0756246\pi\) |
−0.235353 | + | 0.971910i | \(0.575625\pi\) | |||||||
\(174\) | 14.3350 | + | 9.29536i | 1.08673 | + | 0.704679i | ||||
\(175\) | − | 0.748676i | − | 0.0565946i | ||||||
\(176\) | −1.59358 | + | 1.95129i | −0.120120 | + | 0.147084i | ||||
\(177\) | 15.8668 | + | 3.34408i | 1.19262 | + | 0.251357i | ||||
\(178\) | −6.93379 | − | 2.66989i | −0.519709 | − | 0.200117i | ||||
\(179\) | −5.28473 | + | 5.28473i | −0.394999 | + | 0.394999i | −0.876465 | − | 0.481466i | \(-0.840105\pi\) |
0.481466 | + | 0.876465i | \(0.340105\pi\) | |||||||
\(180\) | 5.13711 | − | 13.4374i | 0.382898 | − | 1.00156i | ||||
\(181\) | −11.8638 | − | 11.8638i | −0.881829 | − | 0.881829i | 0.111892 | − | 0.993720i | \(-0.464309\pi\) |
−0.993720 | + | 0.111892i | \(0.964309\pi\) | |||||||
\(182\) | 2.76492 | − | 1.22759i | 0.204950 | − | 0.0909947i | ||||
\(183\) | −4.06356 | + | 19.2805i | −0.300387 | + | 1.42526i | ||||
\(184\) | 15.2624 | − | 7.71683i | 1.12516 | − | 0.568892i | ||||
\(185\) | 5.00635 | 0.368074 | ||||||||
\(186\) | 0.240273 | + | 1.12662i | 0.0176177 | + | 0.0826079i | ||||
\(187\) | 0.620279 | − | 0.620279i | 0.0453593 | − | 0.0453593i | ||||
\(188\) | −7.18997 | − | 6.50096i | −0.524383 | − | 0.474131i | ||||
\(189\) | −0.839319 | − | 5.12792i | −0.0610515 | − | 0.373001i | ||||
\(190\) | −4.31838 | − | 1.66282i | −0.313288 | − | 0.120633i | ||||
\(191\) | −12.2503 | −0.886404 | −0.443202 | − | 0.896422i | \(-0.646157\pi\) | ||||
−0.443202 | + | 0.896422i | \(0.646157\pi\) | |||||||
\(192\) | −0.787556 | + | 13.8340i | −0.0568370 | + | 0.998383i | ||||
\(193\) | −10.1400 | −0.729892 | −0.364946 | − | 0.931029i | \(-0.618913\pi\) | ||||
−0.364946 | + | 0.931029i | \(0.618913\pi\) | |||||||
\(194\) | −6.83184 | − | 2.63064i | −0.490498 | − | 0.188869i | ||||
\(195\) | 4.85108 | + | 7.44196i | 0.347393 | + | 0.532930i | ||||
\(196\) | 1.48351 | + | 1.34134i | 0.105965 | + | 0.0958102i | ||||
\(197\) | 19.2804 | − | 19.2804i | 1.37367 | − | 1.37367i | 0.518741 | − | 0.854931i | \(-0.326401\pi\) |
0.854931 | − | 0.518741i | \(-0.173599\pi\) | |||||||
\(198\) | −2.67214 | + | 0.00641564i | −0.189901 | + | 0.000455940i | ||||
\(199\) | 10.4170 | 0.738438 | 0.369219 | − | 0.929342i | \(-0.379625\pi\) | ||||
0.369219 | + | 0.929342i | \(0.379625\pi\) | |||||||
\(200\) | −1.88976 | + | 0.955479i | −0.133626 | + | 0.0675626i | ||||
\(201\) | 10.5019 | + | 2.21339i | 0.740750 | + | 0.156121i | ||||
\(202\) | 4.41098 | − | 1.95841i | 0.310356 | − | 0.137793i | ||||
\(203\) | −4.93200 | − | 4.93200i | −0.346158 | − | 0.346158i | ||||
\(204\) | 0.756443 | − | 4.76501i | 0.0529616 | − | 0.333617i | ||||
\(205\) | −14.1616 | + | 14.1616i | −0.989087 | + | 0.989087i | ||||
\(206\) | 7.61827 | + | 2.93346i | 0.530790 | + | 0.204384i | ||||
\(207\) | 16.5968 | + | 7.32109i | 1.15356 | + | 0.508851i | ||||
\(208\) | −6.62726 | − | 5.41236i | −0.459518 | − | 0.375279i | ||||
\(209\) | 0.859544i | 0.0594559i | ||||||||
\(210\) | −3.19530 | + | 4.92769i | −0.220497 | + | 0.340043i | ||||
\(211\) | 3.35351 | + | 3.35351i | 0.230865 | + | 0.230865i | 0.813054 | − | 0.582188i | \(-0.197803\pi\) |
−0.582188 | + | 0.813054i | \(0.697803\pi\) | |||||||
\(212\) | 9.66756 | − | 0.486535i | 0.663970 | − | 0.0334154i | ||||
\(213\) | 11.6762 | + | 17.9122i | 0.800038 | + | 1.22733i | ||||
\(214\) | −9.16621 | − | 20.6453i | −0.626589 | − | 1.41128i | ||||
\(215\) | − | 30.4245i | − | 2.07493i | ||||||
\(216\) | −11.8724 | + | 8.66294i | −0.807814 | + | 0.589438i | ||||
\(217\) | − | 0.470285i | − | 0.0319250i | ||||||
\(218\) | 14.2264 | − | 6.31632i | 0.963534 | − | 0.427795i | ||||
\(219\) | −13.2602 | − | 20.3422i | −0.896039 | − | 1.37460i | ||||
\(220\) | 2.24026 | + | 2.02558i | 0.151038 | + | 0.136564i | ||||
\(221\) | 2.10669 | + | 2.10669i | 0.141711 | + | 0.141711i | ||||
\(222\) | −4.29137 | − | 2.78269i | −0.288018 | − | 0.186762i | ||||
\(223\) | − | 12.3063i | − | 0.824088i | −0.911164 | − | 0.412044i | \(-0.864815\pi\) | ||
0.911164 | − | 0.412044i | \(-0.135185\pi\) | |||||||
\(224\) | 1.49244 | − | 5.45643i | 0.0997176 | − | 0.364573i | ||||
\(225\) | −2.05498 | − | 0.906480i | −0.136998 | − | 0.0604320i | ||||
\(226\) | −0.572743 | + | 1.48743i | −0.0380983 | + | 0.0989423i | ||||
\(227\) | −5.20817 | + | 5.20817i | −0.345678 | + | 0.345678i | −0.858497 | − | 0.512819i | \(-0.828601\pi\) |
0.512819 | + | 0.858497i | \(0.328601\pi\) | |||||||
\(228\) | 2.77741 | + | 3.82564i | 0.183938 | + | 0.253359i | ||||
\(229\) | 12.4704 | + | 12.4704i | 0.824068 | + | 0.824068i | 0.986689 | − | 0.162620i | \(-0.0519946\pi\) |
−0.162620 | + | 0.986689i | \(0.551995\pi\) | |||||||
\(230\) | −8.31974 | − | 18.7388i | −0.548587 | − | 1.23560i | ||||
\(231\) | 1.06745 | + | 0.224976i | 0.0702331 | + | 0.0148023i | ||||
\(232\) | −6.15467 | + | 18.7434i | −0.404074 | + | 1.23056i | ||||
\(233\) | −2.99215 | −0.196022 | −0.0980110 | − | 0.995185i | \(-0.531248\pi\) | ||||
−0.0980110 | + | 0.995185i | \(0.531248\pi\) | |||||||
\(234\) | −0.0217898 | − | 9.07554i | −0.00142444 | − | 0.593287i | ||||
\(235\) | −8.21687 | + | 8.21687i | −0.536009 | + | 0.536009i | ||||
\(236\) | 0.941117 | + | 18.7002i | 0.0612615 | + | 1.21728i | ||||
\(237\) | 15.6865 | + | 24.0643i | 1.01894 | + | 1.56315i | ||||
\(238\) | −0.707773 | + | 1.83811i | −0.0458781 | + | 0.119147i | ||||
\(239\) | 4.27730 | 0.276675 | 0.138338 | − | 0.990385i | \(-0.455824\pi\) | ||||
0.138338 | + | 0.990385i | \(0.455824\pi\) | |||||||
\(240\) | 16.5161 | + | 1.77653i | 1.06611 | + | 0.114675i | ||||
\(241\) | −25.2132 | −1.62413 | −0.812063 | − | 0.583569i | \(-0.801656\pi\) | ||||
−0.812063 | + | 0.583569i | \(0.801656\pi\) | |||||||
\(242\) | −5.38838 | + | 13.9938i | −0.346378 | + | 0.899554i | ||||
\(243\) | −15.0914 | − | 3.90500i | −0.968115 | − | 0.250506i | ||||
\(244\) | −22.7235 | + | 1.14360i | −1.45473 | + | 0.0732114i | ||||
\(245\) | 1.69539 | − | 1.69539i | 0.108314 | − | 0.108314i | ||||
\(246\) | 20.0106 | − | 4.26763i | 1.27583 | − | 0.272094i | ||||
\(247\) | −2.91932 | −0.185752 | ||||||||
\(248\) | −1.18706 | + | 0.600190i | −0.0753785 | + | 0.0381121i | ||||
\(249\) | −4.67101 | + | 22.1627i | −0.296013 | + | 1.40450i | ||||
\(250\) | −5.84955 | − | 13.1751i | −0.369958 | − | 0.833266i | ||||
\(251\) | −11.5897 | − | 11.5897i | −0.731533 | − | 0.731533i | 0.239391 | − | 0.970923i | \(-0.423052\pi\) |
−0.970923 | + | 0.239391i | \(0.923052\pi\) | |||||||
\(252\) | 5.47794 | − | 2.44789i | 0.345078 | − | 0.154203i | ||||
\(253\) | −2.69290 | + | 2.69290i | −0.169301 | + | 0.169301i | ||||
\(254\) | −1.12027 | + | 2.90939i | −0.0702923 | + | 0.182551i | ||||
\(255\) | −5.65958 | − | 1.19281i | −0.354417 | − | 0.0746969i | ||||
\(256\) | −15.6774 | + | 3.19653i | −0.979840 | + | 0.199783i | ||||
\(257\) | 18.3388i | 1.14394i | 0.820274 | + | 0.571970i | \(0.193821\pi\) | ||||
−0.820274 | + | 0.571970i | \(0.806179\pi\) | |||||||
\(258\) | −16.9109 | + | 26.0794i | −1.05283 | + | 1.62363i | ||||
\(259\) | 1.47646 | + | 1.47646i | 0.0917428 | + | 0.0917428i | ||||
\(260\) | −6.87957 | + | 7.60872i | −0.426653 | + | 0.471873i | ||||
\(261\) | −19.5090 | + | 7.56587i | −1.20758 | + | 0.468316i | ||||
\(262\) | −19.2944 | + | 8.56645i | −1.19201 | + | 0.529237i | ||||
\(263\) | 5.86015i | 0.361352i | 0.983543 | + | 0.180676i | \(0.0578286\pi\) | ||||
−0.983543 | + | 0.180676i | \(0.942171\pi\) | |||||||
\(264\) | −0.794439 | − | 2.98151i | −0.0488943 | − | 0.183499i | ||||
\(265\) | − | 11.6043i | − | 0.712848i | ||||||
\(266\) | −0.783174 | − | 1.76396i | −0.0480195 | − | 0.108155i | ||||
\(267\) | 7.62330 | − | 4.96929i | 0.466539 | − | 0.304115i | ||||
\(268\) | 0.622909 | + | 12.3773i | 0.0380502 | + | 0.756066i | ||||
\(269\) | 1.15567 | + | 1.15567i | 0.0704624 | + | 0.0704624i | 0.741460 | − | 0.670997i | \(-0.234134\pi\) |
−0.670997 | + | 0.741460i | \(0.734134\pi\) | |||||||
\(270\) | 9.65679 | + | 14.7369i | 0.587693 | + | 0.896857i | ||||
\(271\) | − | 6.87631i | − | 0.417706i | −0.977947 | − | 0.208853i | \(-0.933027\pi\) | ||
0.977947 | − | 0.208853i | \(-0.0669731\pi\) | |||||||
\(272\) | 5.54291 | − | 0.559328i | 0.336088 | − | 0.0339142i | ||||
\(273\) | −0.764098 | + | 3.62544i | −0.0462453 | + | 0.219422i | ||||
\(274\) | 15.0693 | + | 5.80252i | 0.910371 | + | 0.350543i | ||||
\(275\) | 0.333429 | − | 0.333429i | 0.0201065 | − | 0.0201065i | ||||
\(276\) | −3.28405 | + | 20.6870i | −0.197677 | + | 1.24521i | ||||
\(277\) | 2.82011 | + | 2.82011i | 0.169444 | + | 0.169444i | 0.786735 | − | 0.617291i | \(-0.211770\pi\) |
−0.617291 | + | 0.786735i | \(0.711770\pi\) | |||||||
\(278\) | −12.0464 | + | 5.34842i | −0.722493 | + | 0.320777i | ||||
\(279\) | −1.29085 | − | 0.569411i | −0.0772809 | − | 0.0340897i | ||||
\(280\) | −6.44308 | − | 2.11569i | −0.385048 | − | 0.126436i | ||||
\(281\) | −25.8107 | −1.53974 | −0.769868 | − | 0.638203i | \(-0.779678\pi\) | ||||
−0.769868 | + | 0.638203i | \(0.779678\pi\) | |||||||
\(282\) | 11.6106 | − | 2.47618i | 0.691401 | − | 0.147454i | ||||
\(283\) | 8.51014 | − | 8.51014i | 0.505875 | − | 0.505875i | −0.407383 | − | 0.913258i | \(-0.633558\pi\) |
0.913258 | + | 0.407383i | \(0.133558\pi\) | |||||||
\(284\) | −16.5586 | + | 18.3136i | −0.982572 | + | 1.08671i | ||||
\(285\) | 4.74781 | − | 3.09489i | 0.281236 | − | 0.183325i | ||||
\(286\) | 1.77810 | + | 0.684666i | 0.105141 | + | 0.0404851i | ||||
\(287\) | −8.35300 | −0.493062 | ||||||||
\(288\) | −13.1699 | − | 10.7030i | −0.776043 | − | 0.630680i | ||||
\(289\) | 15.0602 | 0.885895 | ||||||||
\(290\) | 22.0707 | + | 8.49842i | 1.29603 | + | 0.499044i | ||||
\(291\) | 7.51122 | − | 4.89623i | 0.440316 | − | 0.287022i | ||||
\(292\) | 18.8049 | − | 20.7980i | 1.10048 | − | 1.21711i | ||||
\(293\) | 8.85088 | − | 8.85088i | 0.517074 | − | 0.517074i | −0.399611 | − | 0.916685i | \(-0.630855\pi\) |
0.916685 | + | 0.399611i | \(0.130855\pi\) | |||||||
\(294\) | −2.39561 | + | 0.510910i | −0.139715 | + | 0.0297969i | ||||
\(295\) | 22.4465 | 1.30689 | ||||||||
\(296\) | 1.84249 | − | 5.61108i | 0.107092 | − | 0.326138i | ||||
\(297\) | 1.90996 | − | 2.65756i | 0.110827 | − | 0.154207i | ||||
\(298\) | 14.1161 | − | 6.26737i | 0.817727 | − | 0.363059i | ||||
\(299\) | −9.14605 | − | 9.14605i | −0.528930 | − | 0.528930i | ||||
\(300\) | 0.406624 | − | 2.56141i | 0.0234764 | − | 0.147883i | ||||
\(301\) | 8.97272 | − | 8.97272i | 0.517179 | − | 0.517179i | ||||
\(302\) | 26.8784 | + | 10.3497i | 1.54668 | + | 0.595557i | ||||
\(303\) | −1.21899 | + | 5.78380i | −0.0700293 | + | 0.332270i | ||||
\(304\) | −3.45297 | + | 4.22805i | −0.198041 | + | 0.242495i | ||||
\(305\) | 27.2759i | 1.56181i | ||||||||
\(306\) | 4.18831 | + | 4.16825i | 0.239430 | + | 0.238283i | ||||
\(307\) | −14.6474 | − | 14.6474i | −0.835971 | − | 0.835971i | 0.152355 | − | 0.988326i | \(-0.451314\pi\) |
−0.988326 | + | 0.152355i | \(0.951314\pi\) | |||||||
\(308\) | 0.0633144 | + | 1.25807i | 0.00360767 | + | 0.0716853i | ||||
\(309\) | −8.37586 | + | 5.45984i | −0.476486 | + | 0.310600i | ||||
\(310\) | 0.647082 | + | 1.45744i | 0.0367518 | + | 0.0827770i | ||||
\(311\) | − | 18.9809i | − | 1.07631i | −0.842846 | − | 0.538155i | \(-0.819121\pi\) | ||
0.842846 | − | 0.538155i | \(-0.180879\pi\) | |||||||
\(312\) | 10.1263 | − | 2.69820i | 0.573286 | − | 0.152755i | ||||
\(313\) | − | 1.41725i | − | 0.0801077i | −0.999198 | − | 0.0400539i | \(-0.987247\pi\) | ||
0.999198 | − | 0.0400539i | \(-0.0127529\pi\) | |||||||
\(314\) | −18.7304 | + | 8.31601i | −1.05702 | + | 0.469300i | ||||
\(315\) | −2.60079 | − | 6.70626i | −0.146538 | − | 0.377855i | ||||
\(316\) | −22.2458 | + | 24.6036i | −1.25142 | + | 1.38406i | ||||
\(317\) | 7.89489 | + | 7.89489i | 0.443421 | + | 0.443421i | 0.893160 | − | 0.449739i | \(-0.148483\pi\) |
−0.449739 | + | 0.893160i | \(0.648483\pi\) | |||||||
\(318\) | −6.45007 | + | 9.94707i | −0.361702 | + | 0.557804i | ||||
\(319\) | − | 4.39301i | − | 0.245961i | ||||||
\(320\) | 2.88256 | + | 18.9633i | 0.161140 | + | 1.06008i | ||||
\(321\) | 27.0706 | + | 5.70541i | 1.51093 | + | 0.318445i | ||||
\(322\) | 3.07275 | − | 7.98003i | 0.171238 | − | 0.444710i | ||||
\(323\) | 1.34402 | − | 1.34402i | 0.0747833 | − | 0.0747833i | ||||
\(324\) | −0.0864332 | − | 17.9998i | −0.00480184 | − | 0.999988i | ||||
\(325\) | 1.13244 | + | 1.13244i | 0.0628166 | + | 0.0628166i | ||||
\(326\) | −1.45855 | − | 3.28512i | −0.0807813 | − | 0.181946i | ||||
\(327\) | −3.93153 | + | 18.6540i | −0.217414 | + | 1.03157i | ||||
\(328\) | 10.6603 | + | 21.0841i | 0.588618 | + | 1.16417i | ||||
\(329\) | −4.84660 | −0.267202 | ||||||||
\(330\) | −3.61764 | + | 0.771531i | −0.199145 | + | 0.0424714i | ||||
\(331\) | 12.2512 | − | 12.2512i | 0.673384 | − | 0.673384i | −0.285111 | − | 0.958495i | \(-0.592030\pi\) |
0.958495 | + | 0.285111i | \(0.0920303\pi\) | |||||||
\(332\) | −26.1204 | + | 1.31455i | −1.43354 | + | 0.0721453i | ||||
\(333\) | 5.84028 | − | 2.26495i | 0.320045 | − | 0.124118i | ||||
\(334\) | −8.20228 | + | 21.3016i | −0.448809 | + | 1.16557i | ||||
\(335\) | 14.8570 | 0.811723 | ||||||||
\(336\) | 4.34695 | + | 5.39481i | 0.237146 | + | 0.294311i | ||||
\(337\) | 21.2205 | 1.15596 | 0.577978 | − | 0.816052i | \(-0.303842\pi\) | ||||
0.577978 | + | 0.816052i | \(0.303842\pi\) | |||||||
\(338\) | 4.28096 | − | 11.1178i | 0.232853 | − | 0.604727i | ||||
\(339\) | −1.06601 | − | 1.63534i | −0.0578976 | − | 0.0888197i | ||||
\(340\) | −0.335691 | − | 6.67025i | −0.0182054 | − | 0.361745i | ||||
\(341\) | 0.209445 | − | 0.209445i | 0.0113421 | − | 0.0113421i | ||||
\(342\) | −5.79000 | + | 0.0139014i | −0.313087 | + | 0.000751703i | ||||
\(343\) | 1.00000 | 0.0539949 | ||||||||
\(344\) | −34.0995 | − | 11.1971i | −1.83852 | − | 0.603708i | ||||
\(345\) | 24.5707 | + | 5.17853i | 1.32284 | + | 0.278803i | ||||
\(346\) | −7.86247 | − | 17.7088i | −0.422689 | − | 0.952033i | ||||
\(347\) | 5.77536 | + | 5.77536i | 0.310038 | + | 0.310038i | 0.844924 | − | 0.534886i | \(-0.179646\pi\) |
−0.534886 | + | 0.844924i | \(0.679646\pi\) | |||||||
\(348\) | −14.1950 | − | 19.5523i | −0.760929 | − | 1.04811i | ||||
\(349\) | 23.8646 | − | 23.8646i | 1.27744 | − | 1.27744i | 0.335352 | − | 0.942093i | \(-0.391145\pi\) |
0.942093 | − | 0.335352i | \(-0.108855\pi\) | |||||||
\(350\) | −0.380461 | + | 0.988069i | −0.0203365 | + | 0.0528145i | ||||
\(351\) | 9.02601 | + | 6.48691i | 0.481773 | + | 0.346246i | ||||
\(352\) | 3.09474 | − | 1.76540i | 0.164950 | − | 0.0940960i | ||||
\(353\) | 0.589919i | 0.0313982i | 0.999877 | + | 0.0156991i | \(0.00499739\pi\) | ||||
−0.999877 | + | 0.0156991i | \(0.995003\pi\) | |||||||
\(354\) | −19.2409 | − | 12.4765i | −1.02264 | − | 0.663120i | ||||
\(355\) | 20.9292 | + | 20.9292i | 1.11081 | + | 1.11081i | ||||
\(356\) | 7.79412 | + | 7.04721i | 0.413088 | + | 0.373501i | ||||
\(357\) | −1.31733 | − | 2.02089i | −0.0697205 | − | 0.106957i | ||||
\(358\) | 9.66014 | − | 4.28896i | 0.510554 | − | 0.226679i | ||||
\(359\) | − | 4.56354i | − | 0.240855i | −0.992722 | − | 0.120427i | \(-0.961574\pi\) | ||
0.992722 | − | 0.120427i | \(-0.0384265\pi\) | |||||||
\(360\) | −13.6083 | + | 15.1234i | −0.717221 | + | 0.797076i | ||||
\(361\) | − | 17.1375i | − | 0.901976i | ||||||
\(362\) | 9.62838 | + | 21.6862i | 0.506056 | + | 1.13980i | ||||
\(363\) | −10.0290 | − | 15.3854i | −0.526387 | − | 0.807522i | ||||
\(364\) | −4.27286 | + | 0.215038i | −0.223958 | + | 0.0112711i | ||||
\(365\) | −23.7684 | − | 23.7684i | −1.24410 | − | 1.24410i | ||||
\(366\) | 15.1609 | − | 23.3805i | 0.792471 | − | 1.22212i | ||||
\(367\) | − | 19.3900i | − | 1.01215i | −0.862489 | − | 0.506076i | \(-0.831096\pi\) | ||
0.862489 | − | 0.506076i | \(-0.168904\pi\) | |||||||
\(368\) | −24.0642 | + | 2.42829i | −1.25443 | + | 0.126583i | ||||
\(369\) | −10.1136 | + | 22.9274i | −0.526495 | + | 1.19356i | ||||
\(370\) | −6.60715 | − | 2.54412i | −0.343490 | − | 0.132262i | ||||
\(371\) | 3.42232 | − | 3.42232i | 0.177678 | − | 0.177678i | ||||
\(372\) | 0.255423 | − | 1.60897i | 0.0132431 | − | 0.0834210i | ||||
\(373\) | −19.5876 | − | 19.5876i | −1.01421 | − | 1.01421i | −0.999898 | − | 0.0143107i | \(-0.995445\pi\) |
−0.0143107 | − | 0.999898i | \(-0.504555\pi\) | |||||||
\(374\) | −1.13383 | + | 0.503404i | −0.0586289 | + | 0.0260304i | ||||
\(375\) | 17.2755 | + | 3.64099i | 0.892104 | + | 0.188020i | ||||
\(376\) | 6.18536 | + | 12.2335i | 0.318986 | + | 0.630893i | ||||
\(377\) | 14.9202 | 0.768431 | ||||||||
\(378\) | −1.49820 | + | 7.19412i | −0.0770593 | + | 0.370026i | ||||
\(379\) | −21.9568 | + | 21.9568i | −1.12785 | + | 1.12785i | −0.137320 | + | 0.990527i | \(0.543849\pi\) |
−0.990527 | + | 0.137320i | \(0.956151\pi\) | |||||||
\(380\) | 4.85420 | + | 4.38902i | 0.249015 | + | 0.225152i | ||||
\(381\) | −2.08509 | − | 3.19870i | −0.106822 | − | 0.163875i | ||||
\(382\) | 16.1675 | + | 6.22536i | 0.827199 | + | 0.318517i | ||||
\(383\) | −33.3358 | −1.70338 | −0.851690 | − | 0.524046i | \(-0.824422\pi\) | ||||
−0.851690 | + | 0.524046i | \(0.824422\pi\) | |||||||
\(384\) | 8.06953 | − | 17.8573i | 0.411797 | − | 0.911276i | ||||
\(385\) | 1.51011 | 0.0769623 | ||||||||
\(386\) | 13.3823 | + | 5.15293i | 0.681141 | + | 0.262277i | ||||
\(387\) | −13.7645 | − | 35.4924i | −0.699688 | − | 1.80418i | ||||
\(388\) | 7.67953 | + | 6.94360i | 0.389869 | + | 0.352508i | ||||
\(389\) | 8.17897 | − | 8.17897i | 0.414690 | − | 0.414690i | −0.468679 | − | 0.883369i | \(-0.655270\pi\) |
0.883369 | + | 0.468679i | \(0.155270\pi\) | |||||||
\(390\) | −2.62039 | − | 12.2868i | −0.132689 | − | 0.622166i | ||||
\(391\) | 8.42148 | 0.425893 | ||||||||
\(392\) | −1.27623 | − | 2.52413i | −0.0644592 | − | 0.127488i | ||||
\(393\) | 5.33209 | − | 25.2994i | 0.268969 | − | 1.27618i | ||||
\(394\) | −35.2433 | + | 15.6475i | −1.77553 | + | 0.788311i | ||||
\(395\) | 28.1175 | + | 28.1175i | 1.41474 | + | 1.41474i | ||||
\(396\) | 3.52983 | + | 1.34946i | 0.177381 | + | 0.0678129i | ||||
\(397\) | 10.0314 | − | 10.0314i | 0.503462 | − | 0.503462i | −0.409050 | − | 0.912512i | \(-0.634140\pi\) |
0.912512 | + | 0.409050i | \(0.134140\pi\) | |||||||
\(398\) | −13.7478 | − | 5.29367i | −0.689116 | − | 0.265348i | ||||
\(399\) | 2.31295 | + | 0.487478i | 0.115792 | + | 0.0244044i | ||||
\(400\) | 2.97957 | − | 0.300665i | 0.148979 | − | 0.0150332i | ||||
\(401\) | − | 15.4592i | − | 0.771993i | −0.922500 | − | 0.385997i | \(-0.873858\pi\) | ||
0.922500 | − | 0.385997i | \(-0.126142\pi\) | |||||||
\(402\) | −12.7352 | − | 8.25800i | −0.635174 | − | 0.411872i | ||||
\(403\) | 0.711350 | + | 0.711350i | 0.0354349 | + | 0.0354349i | ||||
\(404\) | −6.81664 | + | 0.343058i | −0.339141 | + | 0.0170678i | ||||
\(405\) | −21.5564 | − | 0.981113i | −1.07115 | − | 0.0487519i | ||||
\(406\) | 4.00269 | + | 9.01537i | 0.198650 | + | 0.447425i | ||||
\(407\) | 1.31511i | 0.0651875i | ||||||||
\(408\) | −3.41979 | + | 5.90423i | −0.169305 | + | 0.292303i | ||||
\(409\) | 12.5042i | 0.618292i | 0.951015 | + | 0.309146i | \(0.100043\pi\) | ||||
−0.951015 | + | 0.309146i | \(0.899957\pi\) | |||||||
\(410\) | 25.8864 | − | 11.4932i | 1.27844 | − | 0.567609i | ||||
\(411\) | −16.5679 | + | 10.7998i | −0.817232 | + | 0.532717i | ||||
\(412\) | −8.56354 | − | 7.74289i | −0.421895 | − | 0.381465i | ||||
\(413\) | 6.61989 | + | 6.61989i | 0.325743 | + | 0.325743i | ||||
\(414\) | −18.1833 | − | 18.0962i | −0.893661 | − | 0.889380i | ||||
\(415\) | 31.3533i | 1.53907i | ||||||||
\(416\) | 5.99592 | + | 10.5108i | 0.293974 | + | 0.515335i | ||||
\(417\) | 3.32906 | − | 15.7955i | 0.163025 | − | 0.773510i | ||||
\(418\) | 0.436802 | − | 1.13439i | 0.0213647 | − | 0.0554847i | ||||
\(419\) | 19.2109 | − | 19.2109i | 0.938516 | − | 0.938516i | −0.0597005 | − | 0.998216i | \(-0.519015\pi\) |
0.998216 | + | 0.0597005i | \(0.0190146\pi\) | |||||||
\(420\) | 6.72116 | − | 4.87955i | 0.327959 | − | 0.238098i | ||||
\(421\) | 0.650536 | + | 0.650536i | 0.0317052 | + | 0.0317052i | 0.722782 | − | 0.691076i | \(-0.242863\pi\) |
−0.691076 | + | 0.722782i | \(0.742863\pi\) | |||||||
\(422\) | −2.72163 | − | 6.13000i | −0.132487 | − | 0.298404i | ||||
\(423\) | −5.86816 | + | 13.3030i | −0.285320 | + | 0.646815i | ||||
\(424\) | −13.0061 | − | 4.27074i | −0.631630 | − | 0.207405i | ||||
\(425\) | −1.04273 | −0.0505797 | ||||||||
\(426\) | −6.30708 | − | 29.5733i | −0.305579 | − | 1.43283i | ||||
\(427\) | −8.04415 | + | 8.04415i | −0.389284 | + | 0.389284i | ||||
\(428\) | 1.60566 | + | 31.9048i | 0.0776125 | + | 1.54218i | ||||
\(429\) | −1.95492 | + | 1.27432i | −0.0943843 | + | 0.0615248i | ||||
\(430\) | −15.4611 | + | 40.1528i | −0.745599 | + | 1.93634i | ||||
\(431\) | 9.29584 | 0.447765 | 0.223882 | − | 0.974616i | \(-0.428127\pi\) | ||||
0.223882 | + | 0.974616i | \(0.428127\pi\) | |||||||
\(432\) | 20.0710 | − | 5.39966i | 0.965665 | − | 0.259791i | ||||
\(433\) | 13.5879 | 0.652991 | 0.326495 | − | 0.945199i | \(-0.394132\pi\) | ||||
0.326495 | + | 0.945199i | \(0.394132\pi\) | |||||||
\(434\) | −0.238989 | + | 0.620661i | −0.0114718 | + | 0.0297927i | ||||
\(435\) | −24.2654 | + | 15.8175i | −1.16344 | + | 0.758393i | ||||
\(436\) | −21.9852 | + | 1.10644i | −1.05290 | + | 0.0529889i | ||||
\(437\) | −5.83499 | + | 5.83499i | −0.279125 | + | 0.279125i | ||||
\(438\) | 7.16270 | + | 33.5853i | 0.342247 | + | 1.60477i | ||||
\(439\) | −0.193033 | −0.00921297 | −0.00460649 | − | 0.999989i | \(-0.501466\pi\) | ||||
−0.00460649 | + | 0.999989i | \(0.501466\pi\) | |||||||
\(440\) | −1.92724 | − | 3.81172i | −0.0918776 | − | 0.181716i | ||||
\(441\) | 1.21078 | − | 2.74482i | 0.0576561 | − | 0.130706i | ||||
\(442\) | −1.70974 | − | 3.85088i | −0.0813239 | − | 0.183168i | ||||
\(443\) | −5.02164 | − | 5.02164i | −0.238585 | − | 0.238585i | 0.577679 | − | 0.816264i | \(-0.303959\pi\) |
−0.816264 | + | 0.577679i | \(0.803959\pi\) | |||||||
\(444\) | 4.24946 | + | 5.85326i | 0.201670 | + | 0.277783i | ||||
\(445\) | 8.90730 | − | 8.90730i | 0.422246 | − | 0.422246i | ||||
\(446\) | −6.25378 | + | 16.2413i | −0.296125 | + | 0.769046i | ||||
\(447\) | −3.90106 | + | 18.5095i | −0.184514 | + | 0.875467i | ||||
\(448\) | −4.74249 | + | 6.44273i | −0.224062 | + | 0.304390i | ||||
\(449\) | − | 36.2149i | − | 1.70909i | −0.519379 | − | 0.854544i | \(-0.673837\pi\) | ||
0.519379 | − | 0.854544i | \(-0.326163\pi\) | |||||||
\(450\) | 2.25141 | + | 2.24063i | 0.106133 | + | 0.105624i | ||||
\(451\) | −3.72008 | − | 3.72008i | −0.175172 | − | 0.175172i | ||||
\(452\) | 1.51176 | − | 1.67199i | 0.0711072 | − | 0.0786437i | ||||
\(453\) | −29.5513 | + | 19.2632i | −1.38844 | + | 0.905062i | ||||
\(454\) | 9.52019 | − | 4.22683i | 0.446805 | − | 0.198375i | ||||
\(455\) | 5.12887i | 0.240445i | ||||||||
\(456\) | −1.72139 | − | 6.46033i | −0.0806115 | − | 0.302533i | ||||
\(457\) | 28.6790i | 1.34155i | 0.741663 | + | 0.670773i | \(0.234037\pi\) | ||||
−0.741663 | + | 0.670773i | \(0.765963\pi\) | |||||||
\(458\) | −10.1207 | − | 22.7951i | −0.472909 | − | 1.06514i | ||||
\(459\) | −7.14198 | + | 1.16897i | −0.333359 | + | 0.0545630i | ||||
\(460\) | 1.45738 | + | 28.9585i | 0.0679508 | + | 1.35020i | ||||
\(461\) | −11.2373 | − | 11.2373i | −0.523375 | − | 0.523375i | 0.395214 | − | 0.918589i | \(-0.370671\pi\) |
−0.918589 | + | 0.395214i | \(0.870671\pi\) | |||||||
\(462\) | −1.29445 | − | 0.839369i | −0.0602230 | − | 0.0390510i | ||||
\(463\) | 8.11410i | 0.377094i | 0.982064 | + | 0.188547i | \(0.0603778\pi\) | ||||
−0.982064 | + | 0.188547i | \(0.939622\pi\) | |||||||
\(464\) | 17.6476 | − | 21.6090i | 0.819271 | − | 1.00317i | ||||
\(465\) | −1.91103 | − | 0.402769i | −0.0886220 | − | 0.0186780i | ||||
\(466\) | 3.94890 | + | 1.52055i | 0.182929 | + | 0.0704379i | ||||
\(467\) | 11.8202 | − | 11.8202i | 0.546973 | − | 0.546973i | −0.378591 | − | 0.925564i | \(-0.623591\pi\) |
0.925564 | + | 0.378591i | \(0.123591\pi\) | |||||||
\(468\) | −4.58324 | + | 11.9886i | −0.211860 | + | 0.554172i | ||||
\(469\) | 4.38159 | + | 4.38159i | 0.202323 | + | 0.202323i | ||||
\(470\) | 15.0199 | − | 6.66862i | 0.692816 | − | 0.307600i | ||||
\(471\) | 5.17621 | − | 24.5597i | 0.238507 | − | 1.13165i | ||||
\(472\) | 8.26100 | − | 25.1579i | 0.380243 | − | 1.15799i | ||||
\(473\) | 7.99215 | 0.367479 | ||||||||
\(474\) | −8.47330 | − | 39.7306i | −0.389191 | − | 1.82489i | ||||
\(475\) | 0.722474 | − | 0.722474i | 0.0331494 | − | 0.0331494i | ||||
\(476\) | 1.86817 | − | 2.06618i | 0.0856276 | − | 0.0947031i | ||||
\(477\) | −5.24997 | − | 13.5373i | −0.240380 | − | 0.619831i | ||||
\(478\) | −5.64499 | − | 2.17363i | −0.258196 | − | 0.0994196i | ||||
\(479\) | −28.2089 | −1.28890 | −0.644449 | − | 0.764647i | \(-0.722913\pi\) | ||||
−0.644449 | + | 0.764647i | \(0.722913\pi\) | |||||||
\(480\) | −20.8944 | − | 10.7377i | −0.953693 | − | 0.490107i | ||||
\(481\) | −4.46657 | −0.203658 | ||||||||
\(482\) | 33.2753 | + | 12.8128i | 1.51565 | + | 0.583608i | ||||
\(483\) | 5.71911 | + | 8.77359i | 0.260228 | + | 0.399212i | ||||
\(484\) | 14.2227 | − | 15.7301i | 0.646486 | − | 0.715005i | ||||
\(485\) | 8.77634 | − | 8.77634i | 0.398513 | − | 0.398513i | ||||
\(486\) | 17.9325 | + | 12.8228i | 0.813437 | + | 0.581653i | ||||
\(487\) | 1.26539 | 0.0573402 | 0.0286701 | − | 0.999589i | \(-0.490873\pi\) | ||||
0.0286701 | + | 0.999589i | \(0.490873\pi\) | |||||||
\(488\) | 30.5707 | + | 10.0384i | 1.38387 | + | 0.454415i | ||||
\(489\) | 4.30753 | + | 0.907856i | 0.194793 | + | 0.0410547i | ||||
\(490\) | −3.09906 | + | 1.37594i | −0.140001 | + | 0.0621585i | ||||
\(491\) | 21.3825 | + | 21.3825i | 0.964980 | + | 0.964980i | 0.999407 | − | 0.0344277i | \(-0.0109608\pi\) |
−0.0344277 | + | 0.999407i | \(0.510961\pi\) | |||||||
\(492\) | −28.5778 | − | 4.53671i | −1.28839 | − | 0.204531i | ||||
\(493\) | −6.86911 | + | 6.86911i | −0.309369 | + | 0.309369i | ||||
\(494\) | 3.85278 | + | 1.48353i | 0.173345 | + | 0.0667474i | ||||
\(495\) | 1.82841 | − | 4.14497i | 0.0821808 | − | 0.186303i | ||||
\(496\) | 1.87163 | − | 0.188864i | 0.0840389 | − | 0.00848026i | ||||
\(497\) | 12.3448i | 0.553739i | ||||||||
\(498\) | 17.4272 | − | 26.8756i | 0.780931 | − | 1.20432i | ||||
\(499\) | −9.37843 | − | 9.37843i | −0.419836 | − | 0.419836i | 0.465311 | − | 0.885147i | \(-0.345943\pi\) |
−0.885147 | + | 0.465311i | \(0.845943\pi\) | |||||||
\(500\) | 1.02468 | + | 20.3605i | 0.0458249 | + | 0.910550i | ||||
\(501\) | −15.2664 | − | 23.4199i | −0.682050 | − | 1.04632i | ||||
\(502\) | 9.40590 | + | 21.1851i | 0.419806 | + | 0.945539i | ||||
\(503\) | − | 19.7856i | − | 0.882195i | −0.897459 | − | 0.441098i | \(-0.854589\pi\) | ||
0.897459 | − | 0.441098i | \(-0.145411\pi\) | |||||||
\(504\) | −8.47351 | + | 0.446841i | −0.377440 | + | 0.0199039i | ||||
\(505\) | 8.18227i | 0.364106i | ||||||||
\(506\) | 4.92245 | − | 2.18550i | 0.218830 | − | 0.0971572i | ||||
\(507\) | 7.96786 | + | 12.2234i | 0.353865 | + | 0.542858i | ||||
\(508\) | 2.95698 | − | 3.27038i | 0.131195 | − | 0.145100i | ||||
\(509\) | −12.5552 | − | 12.5552i | −0.556501 | − | 0.556501i | 0.371809 | − | 0.928309i | \(-0.378738\pi\) |
−0.928309 | + | 0.371809i | \(0.878738\pi\) | |||||||
\(510\) | 6.86310 | + | 4.45030i | 0.303903 | + | 0.197063i | ||||
\(511\) | − | 14.0195i | − | 0.620185i | ||||||
\(512\) | 22.3148 | + | 3.74830i | 0.986184 | + | 0.165653i | ||||
\(513\) | 4.13851 | − | 5.75840i | 0.182720 | − | 0.254240i | ||||
\(514\) | 9.31937 | − | 24.2027i | 0.411060 | − | 1.06753i | ||||
\(515\) | −9.78660 | + | 9.78660i | −0.431249 | + | 0.431249i | ||||
\(516\) | 35.5713 | − | 25.8247i | 1.56594 | − | 1.13687i | ||||
\(517\) | −2.15847 | − | 2.15847i | −0.0949296 | − | 0.0949296i | ||||
\(518\) | −1.19826 | − | 2.69887i | −0.0526486 | − | 0.118582i | ||||
\(519\) | 23.2203 | + | 4.89391i | 1.01926 | + | 0.214819i | ||||
\(520\) | 12.9459 | − | 6.54559i | 0.567717 | − | 0.287043i | ||||
\(521\) | 7.36126 | 0.322503 | 0.161251 | − | 0.986913i | \(-0.448447\pi\) | ||||
0.161251 | + | 0.986913i | \(0.448447\pi\) | |||||||
\(522\) | 29.5919 | − | 0.0710483i | 1.29520 | − | 0.00310970i | ||||
\(523\) | −19.9496 | + | 19.9496i | −0.872334 | + | 0.872334i | −0.992726 | − | 0.120392i | \(-0.961585\pi\) |
0.120392 | + | 0.992726i | \(0.461585\pi\) | |||||||
\(524\) | 29.8172 | − | 1.50060i | 1.30257 | − | 0.0655539i | ||||
\(525\) | −0.708126 | − | 1.08633i | −0.0309052 | − | 0.0474111i | ||||
\(526\) | 2.97800 | − | 7.73396i | 0.129847 | − | 0.337217i | ||||
\(527\) | −0.654996 | −0.0285321 | ||||||||
\(528\) | −0.466674 | + | 4.33858i | −0.0203094 | + | 0.188812i | ||||
\(529\) | −13.5614 | −0.589625 | ||||||||
\(530\) | −5.89707 | + | 15.3149i | −0.256152 | + | 0.665235i | ||||
\(531\) | 26.1856 | − | 10.1552i | 1.13636 | − | 0.440696i | ||||
\(532\) | 0.137190 | + | 2.72599i | 0.00594793 | + | 0.118187i | ||||
\(533\) | 12.6347 | − | 12.6347i | 0.547270 | − | 0.547270i | ||||
\(534\) | −12.5862 | + | 2.68424i | −0.544657 | + | 0.116159i | ||||
\(535\) | 38.2965 | 1.65570 | ||||||||
\(536\) | 5.46781 | − | 16.6516i | 0.236174 | − | 0.719240i | ||||
\(537\) | −2.66962 | + | 12.6666i | −0.115203 | + | 0.546605i | ||||
\(538\) | −0.937914 | − | 2.11249i | −0.0404364 | − | 0.0910758i | ||||
\(539\) | 0.445358 | + | 0.445358i | 0.0191829 | + | 0.0191829i | ||||
\(540\) | −5.25564 | − | 24.3564i | −0.226167 | − | 1.04813i | ||||
\(541\) | −19.1432 | + | 19.1432i | −0.823032 | + | 0.823032i | −0.986542 | − | 0.163509i | \(-0.947719\pi\) |
0.163509 | + | 0.986542i | \(0.447719\pi\) | |||||||
\(542\) | −3.49440 | + | 9.07505i | −0.150097 | + | 0.389807i | ||||
\(543\) | −28.4355 | − | 5.99308i | −1.22029 | − | 0.257188i | ||||
\(544\) | −7.59952 | − | 2.07861i | −0.325827 | − | 0.0891197i | ||||
\(545\) | 26.3896i | 1.13041i | ||||||||
\(546\) | 2.85079 | − | 4.39639i | 0.122003 | − | 0.188148i | ||||
\(547\) | −23.1275 | − | 23.1275i | −0.988862 | − | 0.988862i | 0.0110764 | − | 0.999939i | \(-0.496474\pi\) |
−0.999939 | + | 0.0110764i | \(0.996474\pi\) | |||||||
\(548\) | −16.9391 | − | 15.3158i | −0.723603 | − | 0.654259i | ||||
\(549\) | 12.3400 | + | 31.8194i | 0.526660 | + | 1.35802i | ||||
\(550\) | −0.609486 | + | 0.270603i | −0.0259886 | + | 0.0115386i | ||||
\(551\) | − | 9.51878i | − | 0.405514i | ||||||
\(552\) | 14.8468 | − | 25.6329i | 0.631923 | − | 1.09101i | ||||
\(553\) | 16.5847i | 0.705253i | ||||||||
\(554\) | −2.28873 | − | 5.15497i | −0.0972390 | − | 0.219014i | ||||
\(555\) | 7.26419 | − | 4.73520i | 0.308348 | − | 0.200998i | ||||
\(556\) | 18.6162 | − | 0.936891i | 0.789503 | − | 0.0397330i | ||||
\(557\) | −7.81224 | − | 7.81224i | −0.331015 | − | 0.331015i | 0.521957 | − | 0.852972i | \(-0.325202\pi\) |
−0.852972 | + | 0.521957i | \(0.825202\pi\) | |||||||
\(558\) | 1.41424 | + | 1.40746i | 0.0598695 | + | 0.0595827i | ||||
\(559\) | 27.1442i | 1.14808i | ||||||||
\(560\) | 7.42814 | + | 6.06642i | 0.313896 | + | 0.256353i | ||||
\(561\) | 0.313338 | − | 1.48671i | 0.0132292 | − | 0.0627688i | ||||
\(562\) | 34.0638 | + | 13.1164i | 1.43689 | + | 0.553284i | ||||
\(563\) | −5.29314 | + | 5.29314i | −0.223079 | + | 0.223079i | −0.809794 | − | 0.586715i | \(-0.800421\pi\) |
0.586715 | + | 0.809794i | \(0.300421\pi\) | |||||||
\(564\) | −16.5815 | − | 2.63231i | −0.698206 | − | 0.110840i | ||||
\(565\) | −1.91079 | − | 1.91079i | −0.0803873 | − | 0.0803873i | ||||
\(566\) | −15.5560 | + | 6.90663i | −0.653866 | + | 0.290307i | ||||
\(567\) | −6.06803 | − | 6.64673i | −0.254833 | − | 0.279136i | ||||
\(568\) | 31.1599 | − | 15.7547i | 1.30744 | − | 0.661054i | ||||
\(569\) | 10.7397 | 0.450231 | 0.225115 | − | 0.974332i | \(-0.427724\pi\) | ||||
0.225115 | + | 0.974332i | \(0.427724\pi\) | |||||||
\(570\) | −7.83871 | + | 1.67175i | −0.328327 | + | 0.0700220i | ||||
\(571\) | −9.64927 | + | 9.64927i | −0.403809 | + | 0.403809i | −0.879573 | − | 0.475764i | \(-0.842172\pi\) |
0.475764 | + | 0.879573i | \(0.342172\pi\) | |||||||
\(572\) | −1.99872 | − | 1.80718i | −0.0835707 | − | 0.0755621i | ||||
\(573\) | −17.7752 | + | 11.5868i | −0.742569 | + | 0.484048i | ||||
\(574\) | 11.0239 | + | 4.24482i | 0.460129 | + | 0.177175i | ||||
\(575\) | 4.52694 | 0.188787 | ||||||||
\(576\) | 11.9420 | + | 20.8180i | 0.497583 | + | 0.867416i | ||||
\(577\) | −38.6282 | −1.60811 | −0.804056 | − | 0.594554i | \(-0.797329\pi\) | ||||
−0.804056 | + | 0.594554i | \(0.797329\pi\) | |||||||
\(578\) | −19.8758 | − | 7.65328i | −0.826724 | − | 0.318334i | ||||
\(579\) | −14.7131 | + | 9.59079i | −0.611455 | + | 0.398580i | ||||
\(580\) | −24.8091 | − | 22.4317i | −1.03014 | − | 0.931425i | ||||
\(581\) | −9.24664 | + | 9.24664i | −0.383615 | + | 0.383615i | ||||
\(582\) | −12.4011 | + | 2.64478i | −0.514044 | + | 0.109630i | ||||
\(583\) | 3.04832 | 0.126249 | ||||||||
\(584\) | −35.3870 | + | 17.8920i | −1.46433 | + | 0.740377i | ||||
\(585\) | 14.0778 | + | 6.20992i | 0.582045 | + | 0.256749i | ||||
\(586\) | −16.1788 | + | 7.18317i | −0.668341 | + | 0.296734i | ||||
\(587\) | 9.36336 | + | 9.36336i | 0.386467 | + | 0.386467i | 0.873425 | − | 0.486958i | \(-0.161894\pi\) |
−0.486958 | + | 0.873425i | \(0.661894\pi\) | |||||||
\(588\) | 3.42126 | + | 0.543124i | 0.141090 | + | 0.0223981i | ||||
\(589\) | 0.453826 | − | 0.453826i | 0.0186996 | − | 0.0186996i | ||||
\(590\) | −29.6239 | − | 11.4069i | −1.21960 | − | 0.469613i | ||||
\(591\) | 9.73964 | − | 46.2120i | 0.400635 | − | 1.90091i | ||||
\(592\) | −5.28306 | + | 6.46894i | −0.217133 | + | 0.265872i | ||||
\(593\) | − | 29.8401i | − | 1.22539i | −0.790320 | − | 0.612694i | \(-0.790086\pi\) | ||
0.790320 | − | 0.612694i | \(-0.209914\pi\) | |||||||
\(594\) | −3.87120 | + | 2.53672i | −0.158837 | + | 0.104083i | ||||
\(595\) | −2.36127 | − | 2.36127i | −0.0968028 | − | 0.0968028i | ||||
\(596\) | −21.8148 | + | 1.09786i | −0.893569 | + | 0.0449703i | ||||
\(597\) | 15.1150 | − | 9.85276i | 0.618614 | − | 0.403246i | ||||
\(598\) | 7.42272 | + | 16.7184i | 0.303538 | + | 0.683666i | ||||
\(599\) | 8.61900i | 0.352163i | 0.984376 | + | 0.176081i | \(0.0563422\pi\) | ||||
−0.984376 | + | 0.176081i | \(0.943658\pi\) | |||||||
\(600\) | −1.83830 | + | 3.17380i | −0.0750483 | + | 0.129570i | ||||
\(601\) | 37.6975i | 1.53771i | 0.639421 | + | 0.768857i | \(0.279174\pi\) | ||||
−0.639421 | + | 0.768857i | \(0.720826\pi\) | |||||||
\(602\) | −16.4015 | + | 7.28205i | −0.668477 | + | 0.296794i | ||||
\(603\) | 17.3318 | − | 6.72152i | 0.705805 | − | 0.273722i | ||||
\(604\) | −30.2135 | − | 27.3181i | −1.22937 | − | 1.11156i | ||||
\(605\) | −17.9767 | − | 17.9767i | −0.730858 | − | 0.730858i | ||||
\(606\) | 4.54798 | − | 7.01373i | 0.184749 | − | 0.284913i | ||||
\(607\) | 9.27459i | 0.376444i | 0.982127 | + | 0.188222i | \(0.0602724\pi\) | ||||
−0.982127 | + | 0.188222i | \(0.939728\pi\) | |||||||
\(608\) | 6.70568 | − | 3.82527i | 0.271951 | − | 0.155135i | ||||
\(609\) | −11.8212 | − | 2.49143i | −0.479018 | − | 0.100958i | ||||
\(610\) | 13.8610 | − | 35.9975i | 0.561217 | − | 1.45750i | ||||
\(611\) | 7.33094 | − | 7.33094i | 0.296578 | − | 0.296578i | ||||
\(612\) | −3.40933 | − | 7.62948i | −0.137814 | − | 0.308403i | ||||
\(613\) | 23.9007 | + | 23.9007i | 0.965339 | + | 0.965339i | 0.999419 | − | 0.0340804i | \(-0.0108502\pi\) |
−0.0340804 | + | 0.999419i | \(0.510850\pi\) | |||||||
\(614\) | 11.8875 | + | 26.7745i | 0.479740 | + | 1.08053i | ||||
\(615\) | −7.15382 | + | 33.9429i | −0.288470 | + | 1.36871i | ||||
\(616\) | 0.555766 | − | 1.69252i | 0.0223924 | − | 0.0681936i | ||||
\(617\) | −17.9544 | −0.722817 | −0.361409 | − | 0.932408i | \(-0.617704\pi\) | ||||
−0.361409 | + | 0.932408i | \(0.617704\pi\) | |||||||
\(618\) | 13.8287 | − | 2.94922i | 0.556270 | − | 0.118635i | ||||
\(619\) | −14.4355 | + | 14.4355i | −0.580214 | + | 0.580214i | −0.934962 | − | 0.354748i | \(-0.884567\pi\) |
0.354748 | + | 0.934962i | \(0.384567\pi\) | |||||||
\(620\) | −0.113350 | − | 2.25230i | −0.00455226 | − | 0.0904544i | ||||
\(621\) | 31.0065 | − | 5.07503i | 1.24425 | − | 0.203654i | ||||
\(622\) | −9.64571 | + | 25.0502i | −0.386758 | + | 1.00442i | ||||
\(623\) | 5.25384 | 0.210491 | ||||||||
\(624\) | −14.7353 | − | 1.58499i | −0.589886 | − | 0.0634503i | ||||
\(625\) | 28.1829 | 1.12731 | ||||||||
\(626\) | −0.720216 | + | 1.87042i | −0.0287856 | + | 0.0747572i | ||||
\(627\) | 0.812990 | + | 1.24719i | 0.0324677 | + | 0.0498082i | ||||
\(628\) | 28.9455 | − | 1.45673i | 1.15505 | − | 0.0581298i | ||||
\(629\) | 2.05636 | − | 2.05636i | 0.0819925 | − | 0.0819925i | ||||
\(630\) | 0.0244230 | + | 10.1723i | 0.000973037 | + | 0.405274i | ||||
\(631\) | −12.7763 | −0.508616 | −0.254308 | − | 0.967123i | \(-0.581848\pi\) | ||||
−0.254308 | + | 0.967123i | \(0.581848\pi\) | |||||||
\(632\) | 41.8620 | − | 21.1658i | 1.66518 | − | 0.841932i | ||||
\(633\) | 8.03782 | + | 1.69405i | 0.319475 | + | 0.0673325i | ||||
\(634\) | −6.40731 | − | 14.4313i | −0.254467 | − | 0.573142i | ||||
\(635\) | −3.73746 | − | 3.73746i | −0.148317 | − | 0.148317i | ||||
\(636\) | 13.5674 | − | 9.84991i | 0.537982 | − | 0.390574i | ||||
\(637\) | −1.51259 | + | 1.51259i | −0.0599312 | + | 0.0599312i | ||||
\(638\) | −2.23244 | + | 5.79770i | −0.0883830 | + | 0.229533i | ||||
\(639\) | 33.8842 | + | 14.9468i | 1.34044 | + | 0.591286i | ||||
\(640\) | 5.83247 | − | 26.4917i | 0.230549 | − | 1.04718i | ||||
\(641\) | 1.57497i | 0.0622075i | 0.999516 | + | 0.0311038i | \(0.00990224\pi\) | ||||
−0.999516 | + | 0.0311038i | \(0.990098\pi\) | |||||||
\(642\) | −32.8272 | − | 21.2865i | −1.29559 | − | 0.840110i | ||||
\(643\) | −32.8549 | − | 32.8549i | −1.29567 | − | 1.29567i | −0.931225 | − | 0.364444i | \(-0.881259\pi\) |
−0.364444 | − | 0.931225i | \(-0.618741\pi\) | |||||||
\(644\) | −8.11057 | + | 8.97018i | −0.319601 | + | 0.353475i | ||||
\(645\) | −28.7766 | − | 44.1458i | −1.13308 | − | 1.73824i | ||||
\(646\) | −2.45678 | + | 1.09078i | −0.0966608 | + | 0.0429160i | ||||
\(647\) | 28.8641i | 1.13477i | 0.823454 | + | 0.567383i | \(0.192044\pi\) | ||||
−0.823454 | + | 0.567383i | \(0.807956\pi\) | |||||||
\(648\) | −9.03304 | + | 23.7992i | −0.354851 | + | 0.934923i | ||||
\(649\) | 5.89644i | 0.231456i | ||||||||
\(650\) | −0.919064 | − | 2.07003i | −0.0360487 | − | 0.0811933i | ||||
\(651\) | −0.444814 | − | 0.682381i | −0.0174336 | − | 0.0267446i | ||||
\(652\) | 0.255496 | + | 5.07675i | 0.0100060 | + | 0.198821i | ||||
\(653\) | 11.3854 | + | 11.3854i | 0.445546 | + | 0.445546i | 0.893871 | − | 0.448325i | \(-0.147979\pi\) |
−0.448325 | + | 0.893871i | \(0.647979\pi\) | |||||||
\(654\) | 14.6682 | − | 22.6208i | 0.573573 | − | 0.884545i | ||||
\(655\) | − | 35.7907i | − | 1.39846i | ||||||
\(656\) | −3.35453 | − | 33.2432i | −0.130972 | − | 1.29793i | ||||
\(657\) | −38.4809 | − | 16.9745i | −1.50128 | − | 0.662237i | ||||
\(658\) | 6.39633 | + | 2.46294i | 0.249355 | + | 0.0960154i | ||||
\(659\) | −6.17983 | + | 6.17983i | −0.240732 | + | 0.240732i | −0.817153 | − | 0.576421i | \(-0.804449\pi\) |
0.576421 | + | 0.817153i | \(0.304449\pi\) | |||||||
\(660\) | 5.16648 | + | 0.820177i | 0.201105 | + | 0.0319253i | ||||
\(661\) | −15.1242 | − | 15.1242i | −0.588263 | − | 0.588263i | 0.348898 | − | 0.937161i | \(-0.386556\pi\) |
−0.937161 | + | 0.348898i | \(0.886556\pi\) | |||||||
\(662\) | −22.3943 | + | 9.94275i | −0.870379 | + | 0.386436i | ||||
\(663\) | 5.04938 | + | 1.06421i | 0.196102 | + | 0.0413304i | ||||
\(664\) | 35.1406 | + | 11.5389i | 1.36372 | + | 0.447798i | ||||
\(665\) | 3.27211 | 0.126887 | ||||||||
\(666\) | −8.85874 | + | 0.0212693i | −0.343269 | + | 0.000824168i | ||||
\(667\) | 29.8218 | − | 29.8218i | 1.15471 | − | 1.15471i | ||||
\(668\) | 21.6500 | − | 23.9446i | 0.837664 | − | 0.926446i | ||||
\(669\) | −11.6397 | − | 17.8563i | −0.450018 | − | 0.690366i | ||||
\(670\) | −19.6076 | − | 7.55000i | −0.757507 | − | 0.291682i | ||||
\(671\) | −7.16506 | −0.276604 | ||||||||
\(672\) | −2.99538 | − | 9.32886i | −0.115549 | − | 0.359869i | ||||
\(673\) | −10.6946 | −0.412248 | −0.206124 | − | 0.978526i | \(-0.566085\pi\) | ||||
−0.206124 | + | 0.978526i | \(0.566085\pi\) | |||||||
\(674\) | −28.0059 | − | 10.7838i | −1.07875 | − | 0.415377i | ||||
\(675\) | −3.83915 | + | 0.628378i | −0.147769 | + | 0.0241863i | ||||
\(676\) | −11.2996 | + | 12.4972i | −0.434601 | + | 0.480663i | ||||
\(677\) | 8.78670 | − | 8.78670i | 0.337700 | − | 0.337700i | −0.517801 | − | 0.855501i | \(-0.673249\pi\) |
0.855501 | + | 0.517801i | \(0.173249\pi\) | |||||||
\(678\) | 0.575821 | + | 2.69998i | 0.0221143 | + | 0.103692i | ||||
\(679\) | 5.17660 | 0.198660 | ||||||||
\(680\) | −2.94665 | + | 8.97369i | −0.112999 | + | 0.344125i | ||||
\(681\) | −2.63095 | + | 12.4831i | −0.100818 | + | 0.478354i | ||||
\(682\) | −0.382852 | + | 0.169981i | −0.0146602 | + | 0.00650890i | ||||
\(683\) | 12.9374 | + | 12.9374i | 0.495037 | + | 0.495037i | 0.909889 | − | 0.414852i | \(-0.136167\pi\) |
−0.414852 | + | 0.909889i | \(0.636167\pi\) | |||||||
\(684\) | 7.64845 | + | 2.92401i | 0.292446 | + | 0.111802i | ||||
\(685\) | −19.3584 | + | 19.3584i | −0.739646 | + | 0.739646i | ||||
\(686\) | −1.31976 | − | 0.508179i | −0.0503885 | − | 0.0194024i | ||||
\(687\) | 29.8895 | + | 6.29952i | 1.14036 | + | 0.240342i | ||||
\(688\) | 39.3129 | + | 32.1061i | 1.49879 | + | 1.22403i | ||||
\(689\) | 10.3532i | 0.394424i | ||||||||
\(690\) | −29.7957 | − | 19.3207i | −1.13430 | − | 0.735527i | ||||
\(691\) | 10.0400 | + | 10.0400i | 0.381940 | + | 0.381940i | 0.871801 | − | 0.489861i | \(-0.162952\pi\) |
−0.489861 | + | 0.871801i | \(0.662952\pi\) | |||||||
\(692\) | 1.37728 | + | 27.3669i | 0.0523564 | + | 1.04033i | ||||
\(693\) | 1.76166 | − | 0.683197i | 0.0669198 | − | 0.0259525i | ||||
\(694\) | −4.68715 | − | 10.5570i | −0.177922 | − | 0.400737i | ||||
\(695\) | − | 22.3457i | − | 0.847622i | ||||||
\(696\) | 8.79779 | + | 33.0179i | 0.333479 | + | 1.25154i | ||||
\(697\) | 11.6338i | 0.440660i | ||||||||
\(698\) | −43.6230 | + | 19.3680i | −1.65115 | + | 0.733089i | ||||
\(699\) | −4.34159 | + | 2.83009i | −0.164214 | + | 0.107044i | ||||
\(700\) | 1.00423 | − | 1.11067i | 0.0379564 | − | 0.0419793i | ||||
\(701\) | 25.2156 | + | 25.2156i | 0.952381 | + | 0.952381i | 0.998917 | − | 0.0465357i | \(-0.0148181\pi\) |
−0.0465357 | + | 0.998917i | \(0.514818\pi\) | |||||||
\(702\) | −8.61561 | − | 13.1480i | −0.325175 | − | 0.496238i | ||||
\(703\) | 2.84958i | 0.107474i | ||||||||
\(704\) | −4.98143 | + | 0.757214i | −0.187745 | + | 0.0285386i | ||||
\(705\) | −4.15081 | + | 19.6945i | −0.156328 | + | 0.741737i | ||||
\(706\) | 0.299784 | − | 0.778549i | 0.0112825 | − | 0.0293011i | ||||
\(707\) | −2.41310 | + | 2.41310i | −0.0907539 | + | 0.0907539i | ||||
\(708\) | 19.0529 | + | 26.2438i | 0.716053 | + | 0.986301i | ||||
\(709\) | −18.4484 | − | 18.4484i | −0.692844 | − | 0.692844i | 0.270013 | − | 0.962857i | \(-0.412972\pi\) |
−0.962857 | + | 0.270013i | \(0.912972\pi\) | |||||||
\(710\) | −16.9856 | − | 38.2572i | −0.637460 | − | 1.43577i | ||||
\(711\) | 45.5220 | + | 20.0804i | 1.70721 | + | 0.753074i | ||||
\(712\) | −6.70509 | − | 13.2614i | −0.251284 | − | 0.496992i | ||||
\(713\) | 2.84362 | 0.106495 | ||||||||
\(714\) | 0.711577 | + | 3.33653i | 0.0266301 | + | 0.124866i | ||||
\(715\) | −2.28418 | + | 2.28418i | −0.0854236 | + | 0.0854236i | ||||
\(716\) | −14.9286 | + | 0.751305i | −0.557907 | + | 0.0280776i | ||||
\(717\) | 6.20634 | − | 4.04563i | 0.231780 | − | 0.151087i | ||||
\(718\) | −2.31910 | + | 6.02276i | −0.0865479 | + | 0.224767i | ||||
\(719\) | 30.2998 | 1.12999 | 0.564996 | − | 0.825094i | \(-0.308878\pi\) | ||||
0.564996 | + | 0.825094i | \(0.308878\pi\) | |||||||
\(720\) | 25.6451 | − | 13.0438i | 0.955735 | − | 0.486114i | ||||
\(721\) | −5.77249 | −0.214979 | ||||||||
\(722\) | −8.70893 | + | 22.6174i | −0.324113 | + | 0.841731i | ||||
\(723\) | −36.5843 | + | 23.8476i | −1.36058 | + | 0.886904i | ||||
\(724\) | −1.68662 | − | 33.5135i | −0.0626827 | − | 1.24552i | ||||
\(725\) | −3.69247 | + | 3.69247i | −0.137135 | + | 0.137135i | ||||
\(726\) | 5.41734 | + | 25.4015i | 0.201056 | + | 0.942736i | ||||
\(727\) | −14.0577 | −0.521373 | −0.260686 | − | 0.965424i | \(-0.583949\pi\) | ||||
−0.260686 | + | 0.965424i | \(0.583949\pi\) | |||||||
\(728\) | 5.74840 | + | 1.88758i | 0.213050 | + | 0.0699582i | ||||
\(729\) | −25.5911 | + | 8.60792i | −0.947818 | + | 0.318812i | ||||
\(730\) | 19.2899 | + | 43.4471i | 0.713952 | + | 1.60805i | ||||
\(731\) | −12.4969 | − | 12.4969i | −0.462214 | − | 0.462214i | ||||
\(732\) | −31.8901 | + | 23.1522i | −1.17869 | + | 0.855729i | ||||
\(733\) | 32.7566 | − | 32.7566i | 1.20989 | − | 1.20989i | 0.238831 | − | 0.971061i | \(-0.423236\pi\) |
0.971061 | − | 0.238831i | \(-0.0767642\pi\) | |||||||
\(734\) | −9.85361 | + | 25.5901i | −0.363703 | + | 0.944548i | ||||
\(735\) | 0.856437 | − | 4.06356i | 0.0315902 | − | 0.149887i | ||||
\(736\) | 32.9929 | + | 9.02417i | 1.21613 | + | 0.332635i | ||||
\(737\) | 3.90275i | 0.143760i | ||||||||
\(738\) | 24.9988 | − | 25.1191i | 0.920217 | − | 0.924646i | ||||
\(739\) | −1.60188 | − | 1.60188i | −0.0589260 | − | 0.0589260i | 0.677030 | − | 0.735956i | \(-0.263267\pi\) |
−0.735956 | + | 0.677030i | \(0.763267\pi\) | |||||||
\(740\) | 7.42696 | + | 6.71523i | 0.273020 | + | 0.246857i | ||||
\(741\) | −4.23592 | + | 2.76120i | −0.155610 | + | 0.101435i | ||||
\(742\) | −6.25578 | + | 2.77748i | −0.229657 | + | 0.101964i | ||||
\(743\) | 31.9687i | 1.17282i | 0.810015 | + | 0.586409i | \(0.199459\pi\) | ||||
−0.810015 | + | 0.586409i | \(0.800541\pi\) | |||||||
\(744\) | −1.15474 | + | 1.99364i | −0.0423348 | + | 0.0730905i | ||||
\(745\) | 26.1851i | 0.959349i | ||||||||
\(746\) | 15.8969 | + | 35.8049i | 0.582025 | + | 1.31091i | ||||
\(747\) | 14.1847 | + | 36.5760i | 0.518991 | + | 1.33824i | ||||
\(748\) | 1.75220 | − | 0.0881820i | 0.0640666 | − | 0.00322425i | ||||
\(749\) | 11.2943 | + | 11.2943i | 0.412686 | + | 0.412686i | ||||
\(750\) | −20.9492 | − | 13.5843i | −0.764956 | − | 0.496028i | ||||
\(751\) | 15.0201i | 0.548093i | 0.961716 | + | 0.274046i | \(0.0883622\pi\) | ||||
−0.961716 | + | 0.274046i | \(0.911638\pi\) | |||||||
\(752\) | −1.94637 | − | 19.2884i | −0.0709769 | − | 0.703377i | ||||
\(753\) | −27.7785 | − | 5.85460i | −1.01230 | − | 0.213353i | ||||
\(754\) | −19.6910 | − | 7.58214i | −0.717106 | − | 0.276125i | ||||
\(755\) | −34.5286 | + | 34.5286i | −1.25663 | + | 1.25663i | ||||
\(756\) | 5.63316 | − | 8.73313i | 0.204876 | − | 0.317621i | ||||
\(757\) | 5.17499 | + | 5.17499i | 0.188088 | + | 0.188088i | 0.794869 | − | 0.606781i | \(-0.207539\pi\) |
−0.606781 | + | 0.794869i | \(0.707539\pi\) | |||||||
\(758\) | 40.1356 | − | 17.8196i | 1.45779 | − | 0.647239i | ||||
\(759\) | −1.36034 | + | 6.45445i | −0.0493772 | + | 0.234282i | ||||
\(760\) | −4.17595 | − | 8.25923i | −0.151478 | − | 0.299594i | ||||
\(761\) | −11.6404 | −0.421966 | −0.210983 | − | 0.977490i | \(-0.567666\pi\) | ||||
−0.210983 | + | 0.977490i | \(0.567666\pi\) | |||||||
\(762\) | 1.12630 | + | 5.28111i | 0.0408014 | + | 0.191314i | ||||
\(763\) | −7.78278 | + | 7.78278i | −0.281755 | + | 0.281755i | ||||
\(764\) | −18.1735 | − | 16.4319i | −0.657494 | − | 0.594486i | ||||
\(765\) | −9.34024 | + | 3.62228i | −0.337697 | + | 0.130964i | ||||
\(766\) | 43.9951 | + | 16.9405i | 1.58961 | + | 0.612087i | ||||
\(767\) | −20.0264 | −0.723112 | ||||||||
\(768\) | −19.7245 | + | 19.4665i | −0.711747 | + | 0.702436i | ||||
\(769\) | 40.3055 | 1.45345 | 0.726726 | − | 0.686927i | \(-0.241041\pi\) | ||||
0.726726 | + | 0.686927i | \(0.241041\pi\) | |||||||
\(770\) | −1.99298 | − | 0.767406i | −0.0718218 | − | 0.0276554i | ||||
\(771\) | 17.3455 | + | 26.6095i | 0.624683 | + | 0.958317i | ||||
\(772\) | −15.0428 | − | 13.6012i | −0.541401 | − | 0.489518i | ||||
\(773\) | 17.0980 | − | 17.0980i | 0.614971 | − | 0.614971i | −0.329266 | − | 0.944237i | \(-0.606801\pi\) |
0.944237 | + | 0.329266i | \(0.106801\pi\) | |||||||
\(774\) | 0.129257 | + | 53.8361i | 0.00464605 | + | 1.93510i | ||||
\(775\) | −0.352091 | −0.0126475 | ||||||||
\(776\) | −6.60651 | − | 13.0664i | −0.237160 | − | 0.469057i | ||||
\(777\) | 3.53883 | + | 0.745845i | 0.126955 | + | 0.0267570i | ||||
\(778\) | −14.9506 | + | 6.63786i | −0.536006 | + | 0.237979i | ||||
\(779\) | −8.06067 | − | 8.06067i | −0.288803 | − | 0.288803i | ||||
\(780\) | −2.78561 | + | 17.5472i | −0.0997409 | + | 0.628290i | ||||
\(781\) | −5.49785 | + | 5.49785i | −0.196729 | + | 0.196729i | ||||
\(782\) | −11.1143 | − | 4.27962i | −0.397447 | − | 0.153039i | ||||
\(783\) | −21.1514 | + | 29.4304i | −0.755888 | + | 1.05176i | ||||
\(784\) | 0.401596 | + | 3.97979i | 0.0143427 | + | 0.142135i | ||||
\(785\) | − | 34.7444i | − | 1.24008i | ||||||
\(786\) | −19.8937 | + | 30.6793i | −0.709583 | + | 1.09429i | ||||
\(787\) | 26.8062 | + | 26.8062i | 0.955536 | + | 0.955536i | 0.999053 | − | 0.0435165i | \(-0.0138561\pi\) |
−0.0435165 | + | 0.999053i | \(0.513856\pi\) | |||||||
\(788\) | 54.4643 | − | 2.74100i | 1.94021 | − | 0.0976442i | ||||
\(789\) | 5.54276 | + | 8.50305i | 0.197327 | + | 0.302717i | ||||
\(790\) | −22.8195 | − | 51.3969i | −0.811881 | − | 1.82862i | ||||
\(791\) | − | 1.12705i | − | 0.0400733i | ||||||
\(792\) | −3.97275 | − | 3.57474i | −0.141166 | − | 0.127023i | ||||
\(793\) | − | 24.3351i | − | 0.864164i | ||||||
\(794\) | −18.3368 | + | 8.14126i | −0.650747 | + | 0.288922i | ||||
\(795\) | −10.9758 | − | 16.8378i | −0.389272 | − | 0.597176i | ||||
\(796\) | 15.4536 | + | 13.9727i | 0.547740 | + | 0.495250i | ||||
\(797\) | −30.6309 | − | 30.6309i | −1.08500 | − | 1.08500i | −0.996035 | − | 0.0889663i | \(-0.971644\pi\) |
−0.0889663 | − | 0.996035i | \(-0.528356\pi\) | |||||||
\(798\) | −2.80481 | − | 1.81875i | −0.0992890 | − | 0.0643829i | ||||
\(799\) | 6.75017i | 0.238804i | ||||||||
\(800\) | −4.08510 | − | 1.11735i | −0.144430 | − | 0.0395043i | ||||
\(801\) | 6.36124 | − | 14.4208i | 0.224763 | − | 0.509535i | ||||
\(802\) | −7.85601 | + | 20.4023i | −0.277405 | + | 0.720430i | ||||
\(803\) | 6.24369 | − | 6.24369i | 0.220335 | − | 0.220335i | ||||
\(804\) | 12.6108 | + | 17.3703i | 0.444749 | + | 0.612603i | ||||
\(805\) | 10.2513 | + | 10.2513i | 0.361312 | + | 0.361312i | ||||
\(806\) | −0.577315 | − | 1.30030i | −0.0203351 | − | 0.0458012i | ||||
\(807\) | 2.76995 | + | 0.583795i | 0.0975068 | + | 0.0205506i | ||||
\(808\) | 9.17064 | + | 3.01132i | 0.322622 | + | 0.105938i | ||||
\(809\) | −5.88033 | −0.206742 | −0.103371 | − | 0.994643i | \(-0.532963\pi\) | ||||
−0.103371 | + | 0.994643i | \(0.532963\pi\) | |||||||
\(810\) | 27.9506 | + | 12.2494i | 0.982086 | + | 0.430398i | ||||
\(811\) | −18.5431 | + | 18.5431i | −0.651137 | + | 0.651137i | −0.953267 | − | 0.302130i | \(-0.902302\pi\) |
0.302130 | + | 0.953267i | \(0.402302\pi\) | |||||||
\(812\) | −0.701158 | − | 13.9322i | −0.0246058 | − | 0.488923i | ||||
\(813\) | −6.50388 | − | 9.97750i | −0.228101 | − | 0.349926i | ||||
\(814\) | 0.668310 | − | 1.73562i | 0.0234243 | − | 0.0608335i | ||||
\(815\) | 6.09382 | 0.213457 | ||||||||
\(816\) | 7.51370 | − | 6.05428i | 0.263032 | − | 0.211942i | ||||
\(817\) | 17.3174 | 0.605859 | ||||||||
\(818\) | 6.35436 | − | 16.5025i | 0.222175 | − | 0.576995i | ||||
\(819\) | 2.32038 | + | 5.98321i | 0.0810805 | + | 0.209070i | ||||
\(820\) | −40.0043 | + | 2.01328i | −1.39701 | + | 0.0703068i | ||||
\(821\) | −17.7928 | + | 17.7928i | −0.620972 | + | 0.620972i | −0.945780 | − | 0.324808i | \(-0.894700\pi\) |
0.324808 | + | 0.945780i | \(0.394700\pi\) | |||||||
\(822\) | 27.3538 | − | 5.83371i | 0.954073 | − | 0.203474i | ||||
\(823\) | −3.21292 | −0.111995 | −0.0559977 | − | 0.998431i | \(-0.517834\pi\) | ||||
−0.0559977 | + | 0.998431i | \(0.517834\pi\) | |||||||
\(824\) | 7.36700 | + | 14.5705i | 0.256642 | + | 0.507588i | ||||
\(825\) | 0.168434 | − | 0.799174i | 0.00586412 | − | 0.0278237i | ||||
\(826\) | −5.37254 | − | 12.1007i | −0.186935 | − | 0.421038i | ||||
\(827\) | 7.63626 | + | 7.63626i | 0.265539 | + | 0.265539i | 0.827300 | − | 0.561761i | \(-0.189876\pi\) |
−0.561761 | + | 0.827300i | \(0.689876\pi\) | |||||||
\(828\) | 14.8014 | + | 33.1229i | 0.514384 | + | 1.15110i | ||||
\(829\) | 17.7711 | − | 17.7711i | 0.617217 | − | 0.617217i | −0.327600 | − | 0.944817i | \(-0.606240\pi\) |
0.944817 | + | 0.327600i | \(0.106240\pi\) | |||||||
\(830\) | 15.9331 | − | 41.3787i | 0.553045 | − | 1.43627i | ||||
\(831\) | 6.75933 | + | 1.42460i | 0.234479 | + | 0.0494187i | ||||
\(832\) | −2.57177 | − | 16.9187i | −0.0891600 | − | 0.586551i | ||||
\(833\) | − | 1.39276i | − | 0.0482564i | ||||||
\(834\) | −12.4205 | + | 19.1545i | −0.430087 | + | 0.663265i | ||||
\(835\) | −27.3645 | − | 27.3645i | −0.946987 | − | 0.946987i | ||||
\(836\) | −1.15294 | + | 1.27514i | −0.0398754 | + | 0.0441017i | ||||
\(837\) | −2.41158 | + | 0.394719i | −0.0833565 | + | 0.0136435i | ||||
\(838\) | −35.1163 | + | 15.5911i | −1.21307 | + | 0.538587i | ||||
\(839\) | − | 8.70592i | − | 0.300562i | −0.988643 | − | 0.150281i | \(-0.951982\pi\) | ||
0.988643 | − | 0.150281i | \(-0.0480178\pi\) | |||||||
\(840\) | −11.3500 | + | 3.02426i | −0.391612 | + | 0.104347i | ||||
\(841\) | 19.6492i | 0.677558i | ||||||||
\(842\) | −0.527960 | − | 1.18914i | −0.0181947 | − | 0.0409804i | ||||
\(843\) | −37.4512 | + | 24.4127i | −1.28989 | + | 0.840820i | ||||
\(844\) | 0.476753 | + | 9.47318i | 0.0164105 | + | 0.326080i | ||||
\(845\) | 14.2821 | + | 14.2821i | 0.491321 | + | 0.491321i | ||||
\(846\) | 14.5049 | − | 14.5747i | 0.498687 | − | 0.501087i | ||||
\(847\) | − | 10.6033i | − | 0.364334i | ||||||
\(848\) | 14.9945 | + | 12.2457i | 0.514914 | + | 0.420520i | ||||
\(849\) | 4.29896 | − | 20.3974i | 0.147540 | − | 0.700037i | ||||
\(850\) | 1.37615 | + | 0.529892i | 0.0472014 | + | 0.0181752i | ||||
\(851\) | −8.92757 | + | 8.92757i | −0.306033 | + | 0.306033i | ||||
\(852\) | −6.70475 | + | 42.2347i | −0.229701 | + | 1.44694i | ||||
\(853\) | −19.8103 | − | 19.8103i | −0.678291 | − | 0.678291i | 0.281323 | − | 0.959613i | \(-0.409227\pi\) |
−0.959613 | + | 0.281323i | \(0.909227\pi\) | |||||||
\(854\) | 14.7042 | − | 6.52845i | 0.503167 | − | 0.223399i | ||||
\(855\) | 3.96180 | − | 8.98133i | 0.135491 | − | 0.307155i | ||||
\(856\) | 14.0943 | − | 42.9225i | 0.481732 | − | 1.46706i | ||||
\(857\) | −51.7656 | −1.76828 | −0.884139 | − | 0.467224i | \(-0.845254\pi\) | ||||
−0.884139 | + | 0.467224i | \(0.845254\pi\) | |||||||
\(858\) | 3.22760 | − | 0.688346i | 0.110188 | − | 0.0234997i | ||||
\(859\) | 1.55742 | − | 1.55742i | 0.0531386 | − | 0.0531386i | −0.680038 | − | 0.733177i | \(-0.738037\pi\) |
0.733177 | + | 0.680038i | \(0.238037\pi\) | |||||||
\(860\) | 40.8096 | − | 45.1349i | 1.39160 | − | 1.53909i | ||||
\(861\) | −12.1202 | + | 7.90059i | −0.413054 | + | 0.269251i | ||||
\(862\) | −12.2682 | − | 4.72395i | −0.417858 | − | 0.160898i | ||||
\(863\) | 19.0224 | 0.647530 | 0.323765 | − | 0.946138i | \(-0.395051\pi\) | ||||
0.323765 | + | 0.946138i | \(0.395051\pi\) | |||||||
\(864\) | −29.2328 | − | 3.07341i | −0.994519 | − | 0.104559i | ||||
\(865\) | 32.8495 | 1.11692 | ||||||||
\(866\) | −17.9326 | − | 6.90506i | −0.609376 | − | 0.234644i | ||||
\(867\) | 21.8523 | − | 14.2445i | 0.742143 | − | 0.483770i | ||||
\(868\) | 0.630814 | − | 0.697672i | 0.0214112 | − | 0.0236805i | ||||
\(869\) | −7.38614 | + | 7.38614i | −0.250557 | + | 0.250557i | ||||
\(870\) | 40.0626 | − | 8.54410i | 1.35825 | − | 0.289672i | ||||
\(871\) | −13.2551 | −0.449133 | ||||||||
\(872\) | 29.5773 | + | 9.71218i | 1.00162 | + | 0.328896i | ||||
\(873\) | 6.26771 | − | 14.2088i | 0.212130 | − | 0.480895i | ||||
\(874\) | 10.6660 | − | 4.73554i | 0.360782 | − | 0.160182i | ||||
\(875\) | 7.20764 | + | 7.20764i | 0.243663 | + | 0.243663i | ||||
\(876\) | 7.61431 | − | 47.9643i | 0.257264 | − | 1.62056i | ||||
\(877\) | 8.86901 | − | 8.86901i | 0.299485 | − | 0.299485i | −0.541327 | − | 0.840812i | \(-0.682078\pi\) |
0.840812 | + | 0.541327i | \(0.182078\pi\) | |||||||
\(878\) | 0.254757 | + | 0.0980954i | 0.00859762 | + | 0.00331056i | ||||
\(879\) | 4.47109 | − | 21.2141i | 0.150806 | − | 0.715534i | ||||
\(880\) | 0.606453 | + | 6.00992i | 0.0204435 | + | 0.202594i | ||||
\(881\) | 30.7009i | 1.03434i | 0.855883 | + | 0.517170i | \(0.173014\pi\) | ||||
−0.855883 | + | 0.517170i | \(0.826986\pi\) | |||||||
\(882\) | −2.99279 | + | 3.00719i | −0.100772 | + | 0.101257i | ||||
\(883\) | −22.6512 | − | 22.6512i | −0.762275 | − | 0.762275i | 0.214458 | − | 0.976733i | \(-0.431201\pi\) |
−0.976733 | + | 0.214458i | \(0.931201\pi\) | |||||||
\(884\) | 0.299497 | + | 5.95108i | 0.0100732 | + | 0.200156i | ||||
\(885\) | 32.5698 | − | 21.2308i | 1.09482 | − | 0.713666i | ||||
\(886\) | 4.07544 | + | 9.17923i | 0.136917 | + | 0.308382i | ||||
\(887\) | − | 11.9499i | − | 0.401239i | −0.979669 | − | 0.200620i | \(-0.935704\pi\) | ||
0.979669 | − | 0.200620i | \(-0.0642955\pi\) | |||||||
\(888\) | −2.63374 | − | 9.88435i | −0.0883825 | − | 0.331697i | ||||
\(889\) | − | 2.20449i | − | 0.0739362i | ||||||
\(890\) | −16.2820 | + | 7.22895i | −0.545772 | + | 0.242315i | ||||
\(891\) | 0.257727 | − | 5.66262i | 0.00863418 | − | 0.189705i | ||||
\(892\) | 16.5069 | − | 18.2565i | 0.552693 | − | 0.611271i | ||||
\(893\) | −4.67698 | − | 4.67698i | −0.156509 | − | 0.156509i | ||||
\(894\) | 14.5546 | − | 22.4455i | 0.486777 | − | 0.750691i | ||||
\(895\) | 17.9193i | 0.598977i | ||||||||
\(896\) | 9.53299 | − | 6.09279i | 0.318475 | − | 0.203546i | ||||
\(897\) | −21.9216 | − | 4.62020i | −0.731940 | − | 0.154264i | ||||
\(898\) | −18.4037 | + | 47.7948i | −0.614138 | + | 1.59493i | ||||
\(899\) | −2.31944 | + | 2.31944i | −0.0773578 | + | 0.0773578i | ||||
\(900\) | −1.83267 | − | 4.10120i | −0.0610892 | − | 0.136707i | ||||
\(901\) | −4.76649 | − | 4.76649i | −0.158795 | − | 0.158795i | ||||
\(902\) | 3.01913 | + | 6.80006i | 0.100526 | + | 0.226417i | ||||
\(903\) | 4.53263 | − | 21.5061i | 0.150837 | − | 0.715679i | ||||
\(904\) | −2.84482 | + | 1.43837i | −0.0946174 | + | 0.0478395i | ||||
\(905\) | −40.2274 | −1.33721 | ||||||||
\(906\) | 48.7896 | − | 10.4053i | 1.62093 | − | 0.345693i | ||||
\(907\) | 41.0833 | − | 41.0833i | 1.36415 | − | 1.36415i | 0.495595 | − | 0.868554i | \(-0.334950\pi\) |
0.868554 | − | 0.495595i | \(-0.165050\pi\) | |||||||
\(908\) | −14.7123 | + | 0.740421i | −0.488245 | + | 0.0245717i | ||||
\(909\) | 3.70178 | + | 9.54523i | 0.122780 | + | 0.316595i | ||||
\(910\) | 2.60638 | − | 6.76885i | 0.0864007 | − | 0.224385i | ||||
\(911\) | 21.3664 | 0.707902 | 0.353951 | − | 0.935264i | \(-0.384838\pi\) | ||||
0.353951 | + | 0.935264i | \(0.384838\pi\) | |||||||
\(912\) | −1.01119 | + | 9.40083i | −0.0334838 | + | 0.311293i | ||||
\(913\) | −8.23614 | −0.272576 | ||||||||
\(914\) | 14.5740 | − | 37.8492i | 0.482067 | − | 1.25194i | ||||
\(915\) | 25.7986 | + | 39.5772i | 0.852876 | + | 1.30838i | ||||
\(916\) | 1.77286 | + | 35.2271i | 0.0585769 | + | 1.16394i | ||||
\(917\) | 10.5553 | − | 10.5553i | 0.348567 | − | 0.348567i | ||||
\(918\) | 10.0197 | + | 2.08664i | 0.330700 | + | 0.0688695i | ||||
\(919\) | 29.4386 | 0.971090 | 0.485545 | − | 0.874212i | \(-0.338621\pi\) | ||||
0.485545 | + | 0.874212i | \(0.338621\pi\) | |||||||
\(920\) | 12.7927 | − | 38.9587i | 0.421763 | − | 1.28443i | ||||
\(921\) | −35.1074 | − | 7.39924i | −1.15683 | − | 0.243813i | ||||
\(922\) | 9.11997 | + | 20.5411i | 0.300350 | + | 0.676486i | ||||
\(923\) | −18.6727 | − | 18.6727i | −0.614618 | − | 0.614618i | ||||
\(924\) | 1.28180 | + | 1.76557i | 0.0421682 | + | 0.0580830i | ||||
\(925\) | 1.10539 | − | 1.10539i | 0.0363450 | − | 0.0363450i | ||||
\(926\) | 4.12341 | − | 10.7086i | 0.135504 | − | 0.351907i | ||||
\(927\) | −6.98920 | + | 15.8444i | −0.229556 | + | 0.520399i | ||||
\(928\) | −34.2718 | + | 19.5504i | −1.12503 | + | 0.641774i | ||||
\(929\) | − | 16.0304i | − | 0.525940i | −0.964804 | − | 0.262970i | \(-0.915298\pi\) | ||
0.964804 | − | 0.262970i | \(-0.0847021\pi\) | |||||||
\(930\) | 2.31742 | + | 1.50270i | 0.0759911 | + | 0.0492756i | ||||
\(931\) | 0.965003 | + | 0.965003i | 0.0316267 | + | 0.0316267i | ||||
\(932\) | −4.43887 | − | 4.01350i | −0.145400 | − | 0.131466i | ||||
\(933\) | −17.9529 | − | 27.5413i | −0.587752 | − | 0.901660i | ||||
\(934\) | −21.6065 | + | 9.59299i | −0.706987 | + | 0.313892i | ||||
\(935\) | − | 2.10323i | − | 0.0687828i | ||||||
\(936\) | 12.1411 | − | 13.4929i | 0.396844 | − | 0.441028i | ||||
\(937\) | − | 10.2290i | − | 0.334167i | −0.985943 | − | 0.167084i | \(-0.946565\pi\) | ||
0.985943 | − | 0.167084i | \(-0.0534350\pi\) | |||||||
\(938\) | −3.55599 | − | 8.00926i | −0.116107 | − | 0.261511i | ||||
\(939\) | −1.34049 | − | 2.05642i | −0.0437452 | − | 0.0671089i | ||||
\(940\) | −23.2114 | + | 1.16815i | −0.757073 | + | 0.0381009i | ||||
\(941\) | −13.7787 | − | 13.7787i | −0.449172 | − | 0.449172i | 0.445907 | − | 0.895079i | \(-0.352881\pi\) |
−0.895079 | + | 0.445907i | \(0.852881\pi\) | |||||||
\(942\) | −19.3121 | + | 29.7824i | −0.629221 | + | 0.970363i | ||||
\(943\) | − | 50.5073i | − | 1.64474i | ||||||
\(944\) | −23.6872 | + | 29.0043i | −0.770954 | + | 0.944009i | ||||
\(945\) | −10.1168 | − | 7.27084i | −0.329099 | − | 0.236520i | ||||
\(946\) | −10.5477 | − | 4.06144i | −0.342935 | − | 0.132049i | ||||
\(947\) | −18.3826 | + | 18.3826i | −0.597354 | + | 0.597354i | −0.939608 | − | 0.342253i | \(-0.888810\pi\) |
0.342253 | + | 0.939608i | \(0.388810\pi\) | |||||||
\(948\) | −9.00755 | + | 56.7406i | −0.292552 | + | 1.84285i | ||||
\(949\) | 21.2058 | + | 21.2058i | 0.688369 | + | 0.688369i | ||||
\(950\) | −1.32064 | + | 0.586343i | −0.0428471 | + | 0.0190235i | ||||
\(951\) | 18.9228 | + | 3.98816i | 0.613612 | + | 0.129325i | ||||
\(952\) | −3.51552 | + | 1.77748i | −0.113939 | + | 0.0576085i | ||||
\(953\) | 32.8708 | 1.06479 | 0.532394 | − | 0.846497i | \(-0.321292\pi\) | ||||
0.532394 | + | 0.846497i | \(0.321292\pi\) | |||||||
\(954\) | 0.0493005 | + | 20.5339i | 0.00159616 | + | 0.664809i | ||||
\(955\) | −20.7691 | + | 20.7691i | −0.672071 | + | 0.672071i | ||||
\(956\) | 6.34541 | + | 5.73732i | 0.205225 | + | 0.185558i | ||||
\(957\) | −4.15508 | − | 6.37424i | −0.134315 | − | 0.206050i | ||||
\(958\) | 37.2289 | + | 14.3352i | 1.20281 | + | 0.463149i | ||||
\(959\) | −11.4183 | −0.368715 | ||||||||
\(960\) | 22.1188 | + | 24.7892i | 0.713881 | + | 0.800068i | ||||
\(961\) | 30.7788 | 0.992866 | ||||||||
\(962\) | 5.89479 | + | 2.26982i | 0.190055 | + | 0.0731819i | ||||
\(963\) | 44.6758 | − | 17.3259i | 1.43966 | − | 0.558320i | ||||
\(964\) | −37.4040 | − | 33.8196i | −1.20470 | − | 1.08926i | ||||
\(965\) | −17.1912 | + | 17.1912i | −0.553404 | + | 0.553404i | ||||
\(966\) | −3.08927 | − | 14.4853i | −0.0993957 | − | 0.466058i | ||||
\(967\) | −55.1646 | −1.77398 | −0.886988 | − | 0.461793i | \(-0.847206\pi\) | ||||
−0.886988 | + | 0.461793i | \(0.847206\pi\) | |||||||
\(968\) | −26.7642 | + | 13.5322i | −0.860233 | + | 0.434942i | ||||
\(969\) | 0.678942 | − | 3.22140i | 0.0218108 | − | 0.103486i | ||||
\(970\) | −16.0426 | + | 7.12267i | −0.515096 | + | 0.228695i | ||||
\(971\) | 7.89937 | + | 7.89937i | 0.253503 | + | 0.253503i | 0.822405 | − | 0.568902i | \(-0.192632\pi\) |
−0.568902 | + | 0.822405i | \(0.692632\pi\) | |||||||
\(972\) | −17.1503 | − | 26.0359i | −0.550097 | − | 0.835101i | ||||
\(973\) | 6.59016 | − | 6.59016i | 0.211271 | − | 0.211271i | ||||
\(974\) | −1.67000 | − | 0.643044i | −0.0535104 | − | 0.0206044i | ||||
\(975\) | 2.71428 | + | 0.572062i | 0.0869264 | + | 0.0183206i | ||||
\(976\) | −35.2445 | − | 28.7835i | −1.12815 | − | 0.921339i | ||||
\(977\) | 13.4649i | 0.430780i | 0.976528 | + | 0.215390i | \(0.0691023\pi\) | ||||
−0.976528 | + | 0.215390i | \(0.930898\pi\) | |||||||
\(978\) | −5.22353 | − | 3.38714i | −0.167030 | − | 0.108309i | ||||
\(979\) | 2.33984 | + | 2.33984i | 0.0747817 | + | 0.0747817i | ||||
\(980\) | 4.78922 | − | 0.241025i | 0.152986 | − | 0.00769926i | ||||
\(981\) | 11.9391 | + | 30.7855i | 0.381185 | + | 0.982906i | ||||
\(982\) | −17.3536 | − | 39.0858i | −0.553774 | − | 1.24728i | ||||
\(983\) | − | 2.38464i | − | 0.0760581i | −0.999277 | − | 0.0380291i | \(-0.987892\pi\) | ||
0.999277 | − | 0.0380291i | \(-0.0121079\pi\) | |||||||
\(984\) | 35.4102 | + | 20.5100i | 1.12884 | + | 0.653834i | ||||
\(985\) | − | 65.3755i | − | 2.08304i | ||||||
\(986\) | 12.5563 | − | 5.57481i | 0.399873 | − | 0.177538i | ||||
\(987\) | −7.03240 | + | 4.58410i | −0.223844 | + | 0.145914i | ||||
\(988\) | −4.33083 | − | 3.91581i | −0.137782 | − | 0.124578i | ||||
\(989\) | 54.2544 | + | 54.2544i | 1.72519 | + | 1.72519i | ||||
\(990\) | −4.51944 | + | 4.54119i | −0.143637 | + | 0.144329i | ||||
\(991\) | − | 42.9802i | − | 1.36531i | −0.730741 | − | 0.682655i | \(-0.760825\pi\) | ||
0.730741 | − | 0.682655i | \(-0.239175\pi\) | |||||||
\(992\) | −2.56608 | − | 0.701870i | −0.0814730 | − | 0.0222844i | ||||
\(993\) | 6.18876 | − | 29.3640i | 0.196394 | − | 0.931838i | ||||
\(994\) | 6.27336 | − | 16.2921i | 0.198979 | − | 0.516754i | ||||
\(995\) | 17.6608 | − | 17.6608i | 0.559884 | − | 0.559884i | ||||
\(996\) | −36.6572 | + | 26.6131i | −1.16153 | + | 0.843268i | ||||
\(997\) | −1.43276 | − | 1.43276i | −0.0453761 | − | 0.0453761i | 0.684055 | − | 0.729431i | \(-0.260215\pi\) |
−0.729431 | + | 0.684055i | \(0.760215\pi\) | |||||||
\(998\) | 7.61132 | + | 17.1432i | 0.240932 | + | 0.542657i | ||||
\(999\) | 6.33195 | − | 8.81039i | 0.200334 | − | 0.278749i |
(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 | 336.2.s.d.155.2 | ✓ | 48 | |
3.2 | odd | 2 | inner | 336.2.s.d.155.23 | yes | 48 | |
4.3 | odd | 2 | 1344.2.s.d.911.4 | 48 | |||
12.11 | even | 2 | 1344.2.s.d.911.17 | 48 | |||
16.3 | odd | 4 | inner | 336.2.s.d.323.23 | yes | 48 | |
16.13 | even | 4 | 1344.2.s.d.239.17 | 48 | |||
48.29 | odd | 4 | 1344.2.s.d.239.4 | 48 | |||
48.35 | even | 4 | inner | 336.2.s.d.323.2 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
336.2.s.d.155.2 | ✓ | 48 | 1.1 | even | 1 | trivial | |
336.2.s.d.155.23 | yes | 48 | 3.2 | odd | 2 | inner | |
336.2.s.d.323.2 | yes | 48 | 48.35 | even | 4 | inner | |
336.2.s.d.323.23 | yes | 48 | 16.3 | odd | 4 | inner | |
1344.2.s.d.239.4 | 48 | 48.29 | odd | 4 | |||
1344.2.s.d.239.17 | 48 | 16.13 | even | 4 | |||
1344.2.s.d.911.4 | 48 | 4.3 | odd | 2 | |||
1344.2.s.d.911.17 | 48 | 12.11 | even | 2 |