Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(11,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([24, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.q (of order \(15\), degree \(8\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 11.3 | ||
Character | \(\chi\) | \(=\) | 175.11 |
Dual form | 175.2.q.a.16.3 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.16145 | − | 0.962341i | −1.52838 | − | 0.680478i | −0.541316 | − | 0.840819i | \(-0.682074\pi\) |
−0.987062 | + | 0.160342i | \(0.948740\pi\) | |||||||
\(3\) | 2.09781 | + | 2.32985i | 1.21117 | + | 1.34514i | 0.921675 | + | 0.387962i | \(0.126821\pi\) |
0.289496 | + | 0.957179i | \(0.406512\pi\) | |||||||
\(4\) | 2.40752 | + | 2.67382i | 1.20376 | + | 1.33691i | ||||
\(5\) | 2.08640 | + | 0.804329i | 0.933065 | + | 0.359707i | ||||
\(6\) | −2.29220 | − | 7.05468i | −0.935788 | − | 2.88006i | ||||
\(7\) | −0.0714197 | − | 2.64479i | −0.0269941 | − | 0.999636i | ||||
\(8\) | −1.16834 | − | 3.59577i | −0.413070 | − | 1.27130i | ||||
\(9\) | −0.713827 | + | 6.79161i | −0.237942 | + | 2.26387i | ||||
\(10\) | −3.73561 | − | 3.74634i | −1.18130 | − | 1.18470i | ||||
\(11\) | 0.292294 | + | 2.78099i | 0.0881300 | + | 0.838501i | 0.945898 | + | 0.324464i | \(0.105184\pi\) |
−0.857768 | + | 0.514037i | \(0.828149\pi\) | |||||||
\(12\) | −1.17909 | + | 11.2183i | −0.340375 | + | 3.23845i | ||||
\(13\) | −3.53298 | − | 2.56686i | −0.979873 | − | 0.711919i | −0.0221928 | − | 0.999754i | \(-0.507065\pi\) |
−0.957680 | + | 0.287834i | \(0.907065\pi\) | |||||||
\(14\) | −2.39082 | + | 5.78531i | −0.638972 | + | 1.54619i | ||||
\(15\) | 2.50289 | + | 6.54833i | 0.646245 | + | 1.69077i | ||||
\(16\) | −0.182871 | + | 1.73990i | −0.0457177 | + | 0.434975i | ||||
\(17\) | 0.723996 | + | 0.153890i | 0.175595 | + | 0.0373238i | 0.294870 | − | 0.955537i | \(-0.404724\pi\) |
−0.119275 | + | 0.992861i | \(0.538057\pi\) | |||||||
\(18\) | 8.07875 | − | 13.9928i | 1.90418 | − | 3.29814i | ||||
\(19\) | 1.89616 | − | 2.10590i | 0.435009 | − | 0.483126i | −0.485284 | − | 0.874357i | \(-0.661284\pi\) |
0.920293 | + | 0.391230i | \(0.127950\pi\) | |||||||
\(20\) | 2.87241 | + | 7.51508i | 0.642289 | + | 1.68042i | ||||
\(21\) | 6.01214 | − | 5.71466i | 1.31196 | − | 1.24704i | ||||
\(22\) | 2.04448 | − | 6.29227i | 0.435885 | − | 1.34152i | ||||
\(23\) | −2.20231 | − | 0.980532i | −0.459214 | − | 0.204455i | 0.164074 | − | 0.986448i | \(-0.447537\pi\) |
−0.623287 | + | 0.781993i | \(0.714203\pi\) | |||||||
\(24\) | 5.92668 | − | 10.2653i | 1.20978 | − | 2.09540i | ||||
\(25\) | 3.70611 | + | 3.35630i | 0.741222 | + | 0.671260i | ||||
\(26\) | 5.16618 | + | 8.94808i | 1.01317 | + | 1.75486i | ||||
\(27\) | −9.71183 | + | 7.05605i | −1.86904 | + | 1.35794i | ||||
\(28\) | 6.89973 | − | 6.55833i | 1.30393 | − | 1.23941i | ||||
\(29\) | −0.498035 | + | 1.53280i | −0.0924829 | + | 0.284633i | −0.986590 | − | 0.163221i | \(-0.947812\pi\) |
0.894107 | + | 0.447854i | \(0.147812\pi\) | |||||||
\(30\) | 0.891837 | − | 16.5625i | 0.162826 | − | 3.02389i | ||||
\(31\) | 1.81286 | + | 0.385335i | 0.325599 | + | 0.0692083i | 0.367811 | − | 0.929900i | \(-0.380107\pi\) |
−0.0422121 | + | 0.999109i | \(0.513441\pi\) | |||||||
\(32\) | −1.71118 | + | 2.96385i | −0.302496 | + | 0.523939i | ||||
\(33\) | −5.86613 | + | 6.51500i | −1.02116 | + | 1.13412i | ||||
\(34\) | −1.41679 | − | 1.02936i | −0.242977 | − | 0.176533i | ||||
\(35\) | 1.97827 | − | 5.57552i | 0.334389 | − | 0.942435i | ||||
\(36\) | −19.8781 | + | 14.4423i | −3.31301 | + | 2.40705i | ||||
\(37\) | 0.752170 | − | 7.15642i | 0.123656 | − | 1.17651i | −0.740064 | − | 0.672536i | \(-0.765205\pi\) |
0.863720 | − | 0.503972i | \(-0.168128\pi\) | |||||||
\(38\) | −6.12505 | + | 2.72705i | −0.993615 | + | 0.442386i | ||||
\(39\) | −1.43111 | − | 13.6161i | −0.229161 | − | 2.18032i | ||||
\(40\) | 0.454570 | − | 8.44194i | 0.0718738 | − | 1.33479i | ||||
\(41\) | 2.82531 | + | 2.05270i | 0.441239 | + | 0.320579i | 0.786127 | − | 0.618065i | \(-0.212083\pi\) |
−0.344888 | + | 0.938644i | \(0.612083\pi\) | |||||||
\(42\) | −18.4944 | + | 6.56623i | −2.85375 | + | 1.01319i | ||||
\(43\) | −1.22069 | −0.186153 | −0.0930764 | − | 0.995659i | \(-0.529670\pi\) | ||||
−0.0930764 | + | 0.995659i | \(0.529670\pi\) | |||||||
\(44\) | −6.73216 | + | 7.47683i | −1.01491 | + | 1.12717i | ||||
\(45\) | −6.95202 | + | 13.5959i | −1.03635 | + | 2.02675i | ||||
\(46\) | 3.81658 | + | 4.23875i | 0.562725 | + | 0.624969i | ||||
\(47\) | −0.361038 | + | 0.0767410i | −0.0526628 | + | 0.0111938i | −0.234168 | − | 0.972196i | \(-0.575236\pi\) |
0.181505 | + | 0.983390i | \(0.441903\pi\) | |||||||
\(48\) | −4.43734 | + | 3.22391i | −0.640474 | + | 0.465332i | ||||
\(49\) | −6.98980 | + | 0.377780i | −0.998543 | + | 0.0539686i | ||||
\(50\) | −4.78067 | − | 10.8210i | −0.676089 | − | 1.53032i | ||||
\(51\) | 1.16026 | + | 2.00964i | 0.162470 | + | 0.281406i | ||||
\(52\) | −1.64239 | − | 15.6263i | −0.227759 | − | 2.16698i | ||||
\(53\) | −6.42102 | − | 7.13126i | −0.881994 | − | 0.979554i | 0.117915 | − | 0.993024i | \(-0.462379\pi\) |
−0.999909 | + | 0.0134697i | \(0.995712\pi\) | |||||||
\(54\) | 27.7820 | − | 5.90524i | 3.78065 | − | 0.803602i | ||||
\(55\) | −1.62699 | + | 6.03736i | −0.219384 | + | 0.814077i | ||||
\(56\) | −9.42661 | + | 3.34681i | −1.25968 | + | 0.447237i | ||||
\(57\) | 8.88422 | 1.17674 | ||||||||
\(58\) | 2.55155 | − | 2.83379i | 0.335035 | − | 0.372094i | ||||
\(59\) | 5.75834 | − | 2.56378i | 0.749672 | − | 0.333775i | 0.00391379 | − | 0.999992i | \(-0.498754\pi\) |
0.745758 | + | 0.666217i | \(0.232088\pi\) | |||||||
\(60\) | −11.4833 | + | 22.4575i | −1.48249 | + | 2.89925i | ||||
\(61\) | −12.1010 | − | 5.38772i | −1.54938 | − | 0.689827i | −0.559120 | − | 0.829086i | \(-0.688861\pi\) |
−0.990256 | + | 0.139260i | \(0.955528\pi\) | |||||||
\(62\) | −3.54759 | − | 2.57747i | −0.450544 | − | 0.327339i | ||||
\(63\) | 18.0134 | + | 1.40287i | 2.26947 | + | 0.176745i | ||||
\(64\) | 9.38158 | − | 6.81612i | 1.17270 | − | 0.852015i | ||||
\(65\) | −5.30660 | − | 8.19718i | −0.658203 | − | 1.01673i | ||||
\(66\) | 18.9490 | − | 8.43664i | 2.33246 | − | 1.03848i | ||||
\(67\) | 8.28210 | + | 1.76041i | 1.01182 | + | 0.215069i | 0.683853 | − | 0.729620i | \(-0.260303\pi\) |
0.327967 | + | 0.944689i | \(0.393636\pi\) | |||||||
\(68\) | 1.33156 | + | 2.30633i | 0.161475 | + | 0.279683i | ||||
\(69\) | −2.33553 | − | 7.18803i | −0.281165 | − | 0.865337i | ||||
\(70\) | −9.64149 | + | 10.1475i | −1.15238 | + | 1.21285i | ||||
\(71\) | 3.83638 | − | 11.8072i | 0.455294 | − | 1.40125i | −0.415495 | − | 0.909595i | \(-0.636392\pi\) |
0.870790 | − | 0.491656i | \(-0.163608\pi\) | |||||||
\(72\) | 25.2551 | − | 5.36814i | 2.97634 | − | 0.632641i | ||||
\(73\) | 0.223995 | + | 2.13117i | 0.0262166 | + | 0.249434i | 0.999779 | + | 0.0210139i | \(0.00668941\pi\) |
−0.973563 | + | 0.228420i | \(0.926644\pi\) | |||||||
\(74\) | −8.51269 | + | 14.7444i | −0.989580 | + | 1.71400i | ||||
\(75\) | −0.0449820 | + | 15.6756i | −0.00519407 | + | 1.81006i | ||||
\(76\) | 10.1958 | 1.16954 | ||||||||
\(77\) | 7.33426 | − | 0.971673i | 0.835816 | − | 0.110732i | ||||
\(78\) | −10.0101 | + | 30.8078i | −1.13342 | + | 3.48830i | ||||
\(79\) | −3.65511 | + | 0.776917i | −0.411232 | + | 0.0874100i | −0.408882 | − | 0.912587i | \(-0.634081\pi\) |
−0.00234969 | + | 0.999997i | \(0.500748\pi\) | |||||||
\(80\) | −1.78099 | + | 3.48303i | −0.199121 | + | 0.389415i | ||||
\(81\) | −16.7738 | − | 3.56537i | −1.86375 | − | 0.396152i | ||||
\(82\) | −4.13136 | − | 7.15573i | −0.456233 | − | 0.790218i | ||||
\(83\) | 0.181121 | + | 0.557433i | 0.0198806 | + | 0.0611863i | 0.960505 | − | 0.278264i | \(-0.0897590\pi\) |
−0.940624 | + | 0.339450i | \(0.889759\pi\) | |||||||
\(84\) | 29.7543 | + | 2.31724i | 3.24646 | + | 0.252832i | ||||
\(85\) | 1.38677 | + | 0.903407i | 0.150416 | + | 0.0979883i | ||||
\(86\) | 2.63845 | + | 1.17472i | 0.284512 | + | 0.126673i | ||||
\(87\) | −4.61597 | + | 2.05516i | −0.494884 | + | 0.220337i | ||||
\(88\) | 9.65832 | − | 4.30016i | 1.02958 | − | 0.458399i | ||||
\(89\) | −11.3708 | − | 5.06259i | −1.20530 | − | 0.536634i | −0.296969 | − | 0.954887i | \(-0.595976\pi\) |
−0.908330 | + | 0.418253i | \(0.862642\pi\) | |||||||
\(90\) | 28.1103 | − | 22.6966i | 2.96309 | − | 2.39243i | ||||
\(91\) | −6.53648 | + | 9.52731i | −0.685209 | + | 0.998734i | ||||
\(92\) | −2.68034 | − | 8.24922i | −0.279444 | − | 0.860041i | ||||
\(93\) | 2.90526 | + | 5.03206i | 0.301261 | + | 0.521800i | ||||
\(94\) | 0.854217 | + | 0.181570i | 0.0881058 | + | 0.0187275i | ||||
\(95\) | 5.64998 | − | 2.86861i | 0.579676 | − | 0.294313i | ||||
\(96\) | −10.4951 | + | 2.23079i | −1.07115 | + | 0.227679i | ||||
\(97\) | 0.798967 | − | 2.45897i | 0.0811228 | − | 0.249670i | −0.902267 | − | 0.431179i | \(-0.858098\pi\) |
0.983389 | + | 0.181508i | \(0.0580979\pi\) | |||||||
\(98\) | 15.4717 | + | 5.91001i | 1.56287 | + | 0.597002i | ||||
\(99\) | −19.0961 | −1.91923 | ||||||||
\(100\) | −0.0516228 | + | 17.9898i | −0.00516228 | + | 1.79898i | ||||
\(101\) | −4.20580 | + | 7.28465i | −0.418492 | + | 0.724850i | −0.995788 | − | 0.0916852i | \(-0.970775\pi\) |
0.577296 | + | 0.816535i | \(0.304108\pi\) | |||||||
\(102\) | −0.573901 | − | 5.46031i | −0.0568247 | − | 0.540651i | ||||
\(103\) | 18.9748 | − | 4.03323i | 1.86965 | − | 0.397405i | 0.873631 | − | 0.486590i | \(-0.161759\pi\) |
0.996015 | + | 0.0891841i | \(0.0284260\pi\) | |||||||
\(104\) | −5.10214 | + | 15.7028i | −0.500306 | + | 1.53978i | ||||
\(105\) | 17.1402 | − | 7.08730i | 1.67271 | − | 0.691650i | ||||
\(106\) | 7.01602 | + | 21.5931i | 0.681456 | + | 2.09731i | ||||
\(107\) | 0.815710 | + | 1.41285i | 0.0788577 | + | 0.136586i | 0.902757 | − | 0.430150i | \(-0.141539\pi\) |
−0.823900 | + | 0.566736i | \(0.808206\pi\) | |||||||
\(108\) | −42.2480 | − | 8.98009i | −4.06531 | − | 0.864109i | ||||
\(109\) | −2.24584 | + | 0.999914i | −0.215113 | + | 0.0957744i | −0.511464 | − | 0.859305i | \(-0.670897\pi\) |
0.296351 | + | 0.955079i | \(0.404230\pi\) | |||||||
\(110\) | 9.32666 | − | 11.4837i | 0.889262 | − | 1.09493i | ||||
\(111\) | 18.2513 | − | 13.2604i | 1.73234 | − | 1.25862i | ||||
\(112\) | 4.61472 | + | 0.359391i | 0.436050 | + | 0.0339593i | ||||
\(113\) | −1.82391 | − | 1.32515i | −0.171579 | − | 0.124659i | 0.498682 | − | 0.866785i | \(-0.333818\pi\) |
−0.670261 | + | 0.742126i | \(0.733818\pi\) | |||||||
\(114\) | −19.2028 | − | 8.54965i | −1.79851 | − | 0.800748i | ||||
\(115\) | −3.80622 | − | 3.81716i | −0.354932 | − | 0.355952i | ||||
\(116\) | −5.29744 | + | 2.35857i | −0.491855 | + | 0.218988i | ||||
\(117\) | 19.9551 | − | 22.1624i | 1.84485 | − | 2.04891i | ||||
\(118\) | −14.9136 | −1.37291 | ||||||||
\(119\) | 0.355299 | − | 1.92581i | 0.0325702 | − | 0.176538i | ||||
\(120\) | 20.6221 | − | 16.6505i | 1.88253 | − | 1.51998i | ||||
\(121\) | 3.11114 | − | 0.661293i | 0.282831 | − | 0.0601176i | ||||
\(122\) | 20.9710 | + | 23.2906i | 1.89862 | + | 2.10863i | ||||
\(123\) | 1.14445 | + | 10.8887i | 0.103192 | + | 0.981804i | ||||
\(124\) | 3.33417 | + | 5.77496i | 0.299418 | + | 0.518607i | ||||
\(125\) | 5.03284 | + | 9.98351i | 0.450151 | + | 0.892952i | ||||
\(126\) | −37.5850 | − | 20.3672i | −3.34834 | − | 1.81446i | ||||
\(127\) | −10.4182 | + | 7.56926i | −0.924465 | + | 0.671663i | −0.944631 | − | 0.328134i | \(-0.893580\pi\) |
0.0201666 | + | 0.999797i | \(0.493580\pi\) | |||||||
\(128\) | −20.1421 | + | 4.28134i | −1.78033 | + | 0.378421i | ||||
\(129\) | −2.56077 | − | 2.84402i | −0.225463 | − | 0.250402i | ||||
\(130\) | 3.58149 | + | 22.8246i | 0.314118 | + | 2.00185i | ||||
\(131\) | 0.555645 | − | 0.617107i | 0.0485470 | − | 0.0539169i | −0.718382 | − | 0.695649i | \(-0.755117\pi\) |
0.766929 | + | 0.641732i | \(0.221784\pi\) | |||||||
\(132\) | −31.5427 | −2.74544 | ||||||||
\(133\) | −5.70508 | − | 4.86454i | −0.494693 | − | 0.421809i | ||||
\(134\) | −16.2072 | − | 11.7753i | −1.40009 | − | 1.01723i | ||||
\(135\) | −25.9381 | + | 6.91023i | −2.23240 | + | 0.594738i | ||||
\(136\) | −0.292518 | − | 2.78312i | −0.0250832 | − | 0.238651i | ||||
\(137\) | −12.1574 | + | 5.41282i | −1.03868 | + | 0.462449i | −0.853958 | − | 0.520343i | \(-0.825804\pi\) |
−0.184719 | + | 0.982791i | \(0.559138\pi\) | |||||||
\(138\) | −1.86919 | + | 17.7842i | −0.159116 | + | 1.51389i | ||||
\(139\) | 4.92684 | − | 3.57956i | 0.417889 | − | 0.303614i | −0.358899 | − | 0.933376i | \(-0.616848\pi\) |
0.776788 | + | 0.629762i | \(0.216848\pi\) | |||||||
\(140\) | 19.6706 | − | 8.13363i | 1.66247 | − | 0.687417i | ||||
\(141\) | −0.936184 | − | 0.680178i | −0.0788409 | − | 0.0572813i | ||||
\(142\) | −19.6546 | + | 21.8287i | −1.64938 | + | 1.83182i | ||||
\(143\) | 6.10575 | − | 10.5755i | 0.510589 | − | 0.884366i | ||||
\(144\) | −11.6862 | − | 2.48397i | −0.973848 | − | 0.206998i | ||||
\(145\) | −2.27197 | + | 2.79744i | −0.188677 | + | 0.232314i | ||||
\(146\) | 1.56676 | − | 4.82198i | 0.129666 | − | 0.399070i | ||||
\(147\) | −15.5434 | − | 15.4927i | −1.28200 | − | 1.27782i | ||||
\(148\) | 20.9458 | − | 15.2180i | 1.72174 | − | 1.25091i | ||||
\(149\) | 9.22555 | + | 15.9791i | 0.755786 | + | 1.30906i | 0.944983 | + | 0.327121i | \(0.106078\pi\) |
−0.189196 | + | 0.981939i | \(0.560588\pi\) | |||||||
\(150\) | 15.1825 | − | 33.8387i | 1.23964 | − | 2.76292i | ||||
\(151\) | 6.45633 | − | 11.1827i | 0.525408 | − | 0.910034i | −0.474154 | − | 0.880442i | \(-0.657246\pi\) |
0.999562 | − | 0.0295919i | \(-0.00942076\pi\) | |||||||
\(152\) | −9.78769 | − | 4.35776i | −0.793886 | − | 0.353461i | ||||
\(153\) | −1.56197 | + | 4.80725i | −0.126278 | + | 0.388643i | ||||
\(154\) | −16.7877 | − | 4.95783i | −1.35279 | − | 0.399513i | ||||
\(155\) | 3.47241 | + | 2.26210i | 0.278911 | + | 0.181696i | ||||
\(156\) | 32.9616 | − | 36.6076i | 2.63904 | − | 2.93095i | ||||
\(157\) | −7.98079 | + | 13.8231i | −0.636937 | + | 1.10321i | 0.349165 | + | 0.937061i | \(0.386465\pi\) |
−0.986101 | + | 0.166145i | \(0.946868\pi\) | |||||||
\(158\) | 8.64800 | + | 1.83819i | 0.687998 | + | 0.146238i | ||||
\(159\) | 3.14472 | − | 29.9201i | 0.249393 | − | 2.37281i | ||||
\(160\) | −5.95411 | + | 4.80741i | −0.470714 | + | 0.380059i | ||||
\(161\) | −2.43601 | + | 5.89467i | −0.191984 | + | 0.464565i | ||||
\(162\) | 32.8246 | + | 23.8485i | 2.57894 | + | 1.87371i | ||||
\(163\) | −1.07142 | + | 10.1939i | −0.0839202 | + | 0.798448i | 0.868915 | + | 0.494961i | \(0.164818\pi\) |
−0.952836 | + | 0.303487i | \(0.901849\pi\) | |||||||
\(164\) | 1.31341 | + | 12.4963i | 0.102560 | + | 0.975795i | ||||
\(165\) | −17.4793 | + | 8.87457i | −1.36076 | + | 0.690884i | ||||
\(166\) | 0.144956 | − | 1.37917i | 0.0112508 | − | 0.107044i | ||||
\(167\) | 6.08038 | + | 18.7135i | 0.470514 | + | 1.44809i | 0.851913 | + | 0.523683i | \(0.175442\pi\) |
−0.381399 | + | 0.924410i | \(0.624558\pi\) | |||||||
\(168\) | −27.5728 | − | 14.9416i | −2.12729 | − | 1.15277i | ||||
\(169\) | 1.87596 | + | 5.77362i | 0.144305 | + | 0.444125i | ||||
\(170\) | −2.12804 | − | 3.28721i | −0.163213 | − | 0.252118i | ||||
\(171\) | 12.9489 | + | 14.3812i | 0.990229 | + | 1.09976i | ||||
\(172\) | −2.93882 | − | 3.26389i | −0.224083 | − | 0.248869i | ||||
\(173\) | −9.32624 | − | 4.15231i | −0.709061 | − | 0.315694i | 0.0203280 | − | 0.999793i | \(-0.493529\pi\) |
−0.729389 | + | 0.684099i | \(0.760196\pi\) | |||||||
\(174\) | 11.9550 | 0.906304 | ||||||||
\(175\) | 8.61201 | − | 10.0416i | 0.651007 | − | 0.759072i | ||||
\(176\) | −4.89210 | −0.368756 | ||||||||
\(177\) | 18.0531 | + | 8.03777i | 1.35696 | + | 0.604156i | ||||
\(178\) | 19.7054 | + | 21.8851i | 1.47699 | + | 1.64036i | ||||
\(179\) | −4.46886 | − | 4.96317i | −0.334018 | − | 0.370965i | 0.552616 | − | 0.833436i | \(-0.313630\pi\) |
−0.886634 | + | 0.462471i | \(0.846963\pi\) | |||||||
\(180\) | −53.0899 | + | 14.1438i | −3.95709 | + | 1.05422i | ||||
\(181\) | 7.01232 | + | 21.5817i | 0.521222 | + | 1.60416i | 0.771669 | + | 0.636025i | \(0.219422\pi\) |
−0.250447 | + | 0.968130i | \(0.580578\pi\) | |||||||
\(182\) | 23.2968 | − | 14.3025i | 1.72687 | − | 1.06017i | ||||
\(183\) | −12.8330 | − | 39.4960i | −0.948645 | − | 2.91963i | ||||
\(184\) | −0.952728 | + | 9.06460i | −0.0702360 | + | 0.668251i | ||||
\(185\) | 7.32544 | − | 14.3261i | 0.538577 | − | 1.05328i | ||||
\(186\) | −1.43703 | − | 13.6724i | −0.105368 | − | 1.00251i | ||||
\(187\) | −0.216348 | + | 2.05841i | −0.0158209 | + | 0.150526i | ||||
\(188\) | −1.07440 | − | 0.780595i | −0.0783584 | − | 0.0569307i | ||||
\(189\) | 19.3554 | + | 25.1818i | 1.40790 | + | 1.83170i | ||||
\(190\) | −14.9727 | + | 0.763148i | −1.08624 | + | 0.0553646i | ||||
\(191\) | 2.34146 | − | 22.2775i | 0.169422 | − | 1.61194i | −0.497943 | − | 0.867210i | \(-0.665911\pi\) |
0.667365 | − | 0.744731i | \(-0.267422\pi\) | |||||||
\(192\) | 35.5613 | + | 7.55880i | 2.56642 | + | 0.545509i | ||||
\(193\) | 6.16240 | − | 10.6736i | 0.443579 | − | 0.768301i | −0.554373 | − | 0.832268i | \(-0.687042\pi\) |
0.997952 | + | 0.0639669i | \(0.0203752\pi\) | |||||||
\(194\) | −4.09330 | + | 4.54607i | −0.293882 | + | 0.326388i | ||||
\(195\) | 7.96598 | − | 29.5597i | 0.570456 | − | 2.11682i | ||||
\(196\) | −17.8382 | − | 17.7799i | −1.27415 | − | 1.27000i | ||||
\(197\) | −6.40182 | + | 19.7028i | −0.456111 | + | 1.40376i | 0.413715 | + | 0.910406i | \(0.364231\pi\) |
−0.869826 | + | 0.493358i | \(0.835769\pi\) | |||||||
\(198\) | 41.2753 | + | 18.3769i | 2.93330 | + | 1.30599i | ||||
\(199\) | −2.31481 | + | 4.00937i | −0.164093 | + | 0.284217i | −0.936333 | − | 0.351114i | \(-0.885803\pi\) |
0.772240 | + | 0.635331i | \(0.219136\pi\) | |||||||
\(200\) | 7.73851 | − | 17.2476i | 0.547196 | − | 1.21959i | ||||
\(201\) | 13.2728 | + | 22.9891i | 0.936188 | + | 1.62153i | ||||
\(202\) | 16.1009 | − | 11.6980i | 1.13286 | − | 0.823070i | ||||
\(203\) | 4.08949 | + | 1.20773i | 0.287026 | + | 0.0847657i | ||||
\(204\) | −2.58005 | + | 7.94057i | −0.180639 | + | 0.555951i | ||||
\(205\) | 4.24366 | + | 6.55523i | 0.296390 | + | 0.457837i | ||||
\(206\) | −44.8945 | − | 9.54263i | −3.12795 | − | 0.664866i | ||||
\(207\) | 8.23146 | − | 14.2573i | 0.572126 | − | 0.990952i | ||||
\(208\) | 5.11216 | − | 5.67763i | 0.354464 | − | 0.393673i | ||||
\(209\) | 6.41073 | + | 4.65766i | 0.443439 | + | 0.322177i | ||||
\(210\) | −43.8681 | − | 1.17583i | −3.02719 | − | 0.0811397i | ||||
\(211\) | −7.03860 | + | 5.11384i | −0.484557 | + | 0.352052i | −0.803087 | − | 0.595861i | \(-0.796811\pi\) |
0.318530 | + | 0.947913i | \(0.396811\pi\) | |||||||
\(212\) | 3.60899 | − | 34.3372i | 0.247866 | − | 2.35829i | ||||
\(213\) | 35.5569 | − | 15.8310i | 2.43632 | − | 1.08472i | ||||
\(214\) | −0.403474 | − | 3.83880i | −0.0275809 | − | 0.262415i | ||||
\(215\) | −2.54684 | − | 0.981834i | −0.173693 | − | 0.0669605i | ||||
\(216\) | 36.7187 | + | 26.6777i | 2.49839 | + | 1.81519i | ||||
\(217\) | 0.889656 | − | 4.82215i | 0.0603938 | − | 0.327349i | ||||
\(218\) | 5.81654 | 0.393946 | ||||||||
\(219\) | −4.49541 | + | 4.99266i | −0.303772 | + | 0.337373i | ||||
\(220\) | −20.0598 | + | 10.1848i | −1.35243 | + | 0.686656i | ||||
\(221\) | −2.16285 | − | 2.40209i | −0.145489 | − | 0.161582i | ||||
\(222\) | −52.2103 | + | 11.0976i | −3.50413 | + | 0.744825i | ||||
\(223\) | −12.4829 | + | 9.06933i | −0.835915 | + | 0.607328i | −0.921226 | − | 0.389027i | \(-0.872811\pi\) |
0.0853118 | + | 0.996354i | \(0.472811\pi\) | |||||||
\(224\) | 7.96096 | + | 4.31403i | 0.531914 | + | 0.288243i | ||||
\(225\) | −25.4402 | + | 22.7746i | −1.69602 | + | 1.51831i | ||||
\(226\) | 2.66705 | + | 4.61946i | 0.177409 | + | 0.307282i | ||||
\(227\) | 0.618762 | + | 5.88713i | 0.0410687 | + | 0.390743i | 0.995677 | + | 0.0928796i | \(0.0296072\pi\) |
−0.954609 | + | 0.297863i | \(0.903726\pi\) | |||||||
\(228\) | 21.3889 | + | 23.7548i | 1.41651 | + | 1.57320i | ||||
\(229\) | −21.2607 | + | 4.51910i | −1.40495 | + | 0.298631i | −0.847153 | − | 0.531349i | \(-0.821685\pi\) |
−0.557793 | + | 0.829980i | \(0.688352\pi\) | |||||||
\(230\) | 4.55356 | + | 11.9135i | 0.300253 | + | 0.785553i | ||||
\(231\) | 17.6497 | + | 15.0494i | 1.16127 | + | 0.990175i | ||||
\(232\) | 6.09346 | 0.400055 | ||||||||
\(233\) | 2.73948 | − | 3.04250i | 0.179469 | − | 0.199321i | −0.646697 | − | 0.762747i | \(-0.723850\pi\) |
0.826167 | + | 0.563426i | \(0.190517\pi\) | |||||||
\(234\) | −64.4597 | + | 28.6993i | −4.21386 | + | 1.87613i | ||||
\(235\) | −0.814994 | − | 0.130281i | −0.0531643 | − | 0.00849861i | ||||
\(236\) | 20.7184 | + | 9.22441i | 1.34865 | + | 0.600458i | ||||
\(237\) | −9.47782 | − | 6.88604i | −0.615651 | − | 0.447297i | ||||
\(238\) | −2.62124 | + | 3.82062i | −0.169910 | + | 0.247654i | ||||
\(239\) | 8.15260 | − | 5.92321i | 0.527348 | − | 0.383141i | −0.292017 | − | 0.956413i | \(-0.594326\pi\) |
0.819365 | + | 0.573273i | \(0.194326\pi\) | |||||||
\(240\) | −11.8511 | + | 3.15728i | −0.764987 | + | 0.203802i | ||||
\(241\) | 0.00732168 | − | 0.00325982i | 0.000471631 | − | 0.000209984i | −0.406501 | − | 0.913650i | \(-0.633251\pi\) |
0.406972 | + | 0.913440i | \(0.366585\pi\) | |||||||
\(242\) | −7.36097 | − | 1.56462i | −0.473181 | − | 0.100578i | ||||
\(243\) | −8.87464 | − | 15.3713i | −0.569308 | − | 0.986071i | ||||
\(244\) | −14.7276 | − | 45.3269i | −0.942839 | − | 2.90176i | ||||
\(245\) | −14.8874 | − | 4.83390i | −0.951118 | − | 0.308827i | ||||
\(246\) | 8.00499 | − | 24.6368i | 0.510380 | − | 1.57079i | ||||
\(247\) | −12.1047 | + | 2.57292i | −0.770201 | + | 0.163711i | ||||
\(248\) | −0.732454 | − | 6.96883i | −0.0465109 | − | 0.442521i | ||||
\(249\) | −0.918781 | + | 1.59138i | −0.0582254 | + | 0.100849i | ||||
\(250\) | −1.27071 | − | 26.4222i | −0.0803668 | − | 1.67109i | ||||
\(251\) | −12.0426 | −0.760122 | −0.380061 | − | 0.924962i | \(-0.624097\pi\) | ||||
−0.380061 | + | 0.924962i | \(0.624097\pi\) | |||||||
\(252\) | 39.6164 | + | 51.5418i | 2.49560 | + | 3.24683i | ||||
\(253\) | 2.08313 | − | 6.41121i | 0.130965 | − | 0.403069i | ||||
\(254\) | 29.8026 | − | 6.33474i | 1.86998 | − | 0.397477i | ||||
\(255\) | 0.804363 | + | 5.12614i | 0.0503711 | + | 0.321011i | ||||
\(256\) | 24.9706 | + | 5.30767i | 1.56067 | + | 0.331730i | ||||
\(257\) | 5.17579 | + | 8.96473i | 0.322857 | + | 0.559205i | 0.981076 | − | 0.193622i | \(-0.0620234\pi\) |
−0.658219 | + | 0.752826i | \(0.728690\pi\) | |||||||
\(258\) | 2.79806 | + | 8.61154i | 0.174200 | + | 0.536131i | ||||
\(259\) | −18.9809 | − | 1.47822i | −1.17942 | − | 0.0918521i | ||||
\(260\) | 9.14202 | − | 33.9237i | 0.566964 | − | 2.10386i | ||||
\(261\) | −10.0546 | − | 4.47662i | −0.622367 | − | 0.277096i | ||||
\(262\) | −1.79487 | + | 0.799127i | −0.110887 | + | 0.0493702i | ||||
\(263\) | −17.6776 | + | 7.87059i | −1.09005 | + | 0.485321i | −0.871446 | − | 0.490492i | \(-0.836817\pi\) |
−0.218604 | + | 0.975814i | \(0.570150\pi\) | |||||||
\(264\) | 30.2801 | + | 13.4816i | 1.86361 | + | 0.829732i | ||||
\(265\) | −7.66091 | − | 20.0433i | −0.470606 | − | 1.23125i | ||||
\(266\) | 7.64991 | + | 16.0047i | 0.469046 | + | 0.981311i | ||||
\(267\) | −12.0586 | − | 37.1126i | −0.737975 | − | 2.27125i | ||||
\(268\) | 15.2323 | + | 26.3831i | 0.930459 | + | 1.61160i | ||||
\(269\) | −0.211894 | − | 0.0450394i | −0.0129194 | − | 0.00274610i | 0.201447 | − | 0.979499i | \(-0.435435\pi\) |
−0.214367 | + | 0.976753i | \(0.568769\pi\) | |||||||
\(270\) | 62.7140 | + | 10.0252i | 3.81665 | + | 0.610113i | ||||
\(271\) | 24.4085 | − | 5.18819i | 1.48271 | − | 0.315160i | 0.605725 | − | 0.795674i | \(-0.292883\pi\) |
0.876987 | + | 0.480514i | \(0.159550\pi\) | |||||||
\(272\) | −0.400151 | + | 1.23154i | −0.0242627 | + | 0.0746729i | ||||
\(273\) | −35.9095 | + | 4.75745i | −2.17334 | + | 0.287934i | ||||
\(274\) | 31.4866 | 1.90218 | ||||||||
\(275\) | −8.25058 | + | 11.2877i | −0.497528 | + | 0.680673i | ||||
\(276\) | 13.5967 | − | 23.5501i | 0.818422 | − | 1.41755i | ||||
\(277\) | −0.897366 | − | 8.53786i | −0.0539175 | − | 0.512990i | −0.987835 | − | 0.155503i | \(-0.950300\pi\) |
0.933918 | − | 0.357487i | \(-0.116367\pi\) | |||||||
\(278\) | −14.0939 | + | 2.99575i | −0.845295 | + | 0.179673i | ||||
\(279\) | −3.91112 | + | 12.0372i | −0.234152 | + | 0.720647i | ||||
\(280\) | −22.3596 | − | 0.599319i | −1.33624 | − | 0.0358162i | ||||
\(281\) | −5.28949 | − | 16.2794i | −0.315545 | − | 0.971146i | −0.975530 | − | 0.219868i | \(-0.929437\pi\) |
0.659985 | − | 0.751279i | \(-0.270563\pi\) | |||||||
\(282\) | 1.36896 | + | 2.37110i | 0.0815201 | + | 0.141197i | ||||
\(283\) | 0.697171 | + | 0.148188i | 0.0414425 | + | 0.00880888i | 0.228586 | − | 0.973524i | \(-0.426590\pi\) |
−0.187144 | + | 0.982333i | \(0.559923\pi\) | |||||||
\(284\) | 40.8063 | − | 18.1681i | 2.42141 | − | 1.07808i | ||||
\(285\) | 18.5360 | + | 7.14584i | 1.09798 | + | 0.423283i | ||||
\(286\) | −23.3745 | + | 16.9826i | −1.38216 | + | 1.00420i | ||||
\(287\) | 5.22718 | − | 7.61894i | 0.308551 | − | 0.449732i | ||||
\(288\) | −18.9078 | − | 13.7373i | −1.11415 | − | 0.809480i | ||||
\(289\) | −15.0298 | − | 6.69169i | −0.884105 | − | 0.393629i | ||||
\(290\) | 7.60285 | − | 3.86011i | 0.446455 | − | 0.226674i | ||||
\(291\) | 7.40512 | − | 3.29697i | 0.434096 | − | 0.193272i | ||||
\(292\) | −5.15908 | + | 5.72974i | −0.301912 | + | 0.335308i | ||||
\(293\) | −13.7492 | −0.803234 | −0.401617 | − | 0.915808i | \(-0.631552\pi\) | ||||
−0.401617 | + | 0.915808i | \(0.631552\pi\) | |||||||
\(294\) | 18.6872 | + | 48.4448i | 1.08986 | + | 2.82536i | ||||
\(295\) | 14.0763 | − | 0.717457i | 0.819554 | − | 0.0417720i | ||||
\(296\) | −26.6116 | + | 5.65648i | −1.54677 | + | 0.328776i | ||||
\(297\) | −22.4615 | − | 24.9461i | −1.30335 | − | 1.44752i | ||||
\(298\) | −4.56323 | − | 43.4162i | −0.264341 | − | 2.51503i | ||||
\(299\) | 5.26384 | + | 9.11723i | 0.304415 | + | 0.527263i | ||||
\(300\) | −42.0219 | + | 37.6189i | −2.42614 | + | 2.17193i | ||||
\(301\) | 0.0871810 | + | 3.22845i | 0.00502503 | + | 0.186085i | ||||
\(302\) | −24.7166 | + | 17.9577i | −1.42228 | + | 1.03335i | ||||
\(303\) | −25.7951 | + | 5.48292i | −1.48189 | + | 0.314986i | ||||
\(304\) | 3.31730 | + | 3.68423i | 0.190260 | + | 0.211305i | ||||
\(305\) | −20.9140 | − | 20.9741i | −1.19753 | − | 1.20098i | ||||
\(306\) | 8.00234 | − | 8.88750i | 0.457463 | − | 0.508064i | ||||
\(307\) | 16.3931 | 0.935602 | 0.467801 | − | 0.883834i | \(-0.345046\pi\) | ||||
0.467801 | + | 0.883834i | \(0.345046\pi\) | |||||||
\(308\) | 20.2554 | + | 17.2711i | 1.15416 | + | 0.984115i | ||||
\(309\) | 49.2024 | + | 35.7476i | 2.79903 | + | 2.03361i | ||||
\(310\) | −5.32854 | − | 8.23106i | −0.302641 | − | 0.467493i | ||||
\(311\) | 3.59389 | + | 34.1936i | 0.203791 | + | 1.93894i | 0.323711 | + | 0.946156i | \(0.395069\pi\) |
−0.119920 | + | 0.992784i | \(0.538264\pi\) | |||||||
\(312\) | −47.2885 | + | 21.0542i | −2.67718 | + | 1.19196i | ||||
\(313\) | −2.63388 | + | 25.0597i | −0.148876 | + | 1.41646i | 0.623763 | + | 0.781613i | \(0.285603\pi\) |
−0.772639 | + | 0.634845i | \(0.781064\pi\) | |||||||
\(314\) | 30.5527 | − | 22.1978i | 1.72419 | − | 1.25270i | ||||
\(315\) | 36.4546 | + | 17.4156i | 2.05399 | + | 0.981258i | ||||
\(316\) | −10.8771 | − | 7.90265i | −0.611883 | − | 0.444559i | ||||
\(317\) | 6.37970 | − | 7.08538i | 0.358320 | − | 0.397954i | −0.536851 | − | 0.843677i | \(-0.680386\pi\) |
0.895171 | + | 0.445722i | \(0.147053\pi\) | |||||||
\(318\) | −35.5905 | + | 61.6445i | −1.99581 | + | 3.45685i | ||||
\(319\) | −4.40827 | − | 0.937006i | −0.246815 | − | 0.0524623i | ||||
\(320\) | 25.0561 | − | 6.67525i | 1.40068 | − | 0.373158i | ||||
\(321\) | −1.58053 | + | 4.86438i | −0.0882167 | + | 0.271503i | ||||
\(322\) | 10.9380 | − | 10.3968i | 0.609551 | − | 0.579390i | ||||
\(323\) | 1.69689 | − | 1.23286i | 0.0944175 | − | 0.0685983i | ||||
\(324\) | −30.8499 | − | 53.4337i | −1.71389 | − | 2.96854i | ||||
\(325\) | −4.47845 | − | 21.3708i | −0.248420 | − | 1.18544i | ||||
\(326\) | 12.1258 | − | 21.0026i | 0.671588 | − | 1.16322i | ||||
\(327\) | −7.04101 | − | 3.13486i | −0.389369 | − | 0.173358i | ||||
\(328\) | 4.08015 | − | 12.5574i | 0.225289 | − | 0.693367i | ||||
\(329\) | 0.228749 | + | 0.949388i | 0.0126113 | + | 0.0523414i | ||||
\(330\) | 46.3210 | − | 2.36094i | 2.54989 | − | 0.129966i | ||||
\(331\) | 17.7917 | − | 19.7597i | 0.977919 | − | 1.08609i | −0.0183538 | − | 0.999832i | \(-0.505843\pi\) |
0.996273 | − | 0.0862576i | \(-0.0274908\pi\) | |||||||
\(332\) | −1.05442 | + | 1.82632i | −0.0578690 | + | 0.100232i | ||||
\(333\) | 48.0667 | + | 10.2169i | 2.63404 | + | 0.559882i | ||||
\(334\) | 4.86630 | − | 46.2997i | 0.266272 | − | 2.53341i | ||||
\(335\) | 15.8638 | + | 10.3345i | 0.866732 | + | 0.564632i | ||||
\(336\) | 8.84348 | + | 11.5056i | 0.482451 | + | 0.627680i | ||||
\(337\) | 5.99517 | + | 4.35574i | 0.326577 | + | 0.237272i | 0.738977 | − | 0.673731i | \(-0.235309\pi\) |
−0.412400 | + | 0.911003i | \(0.635309\pi\) | |||||||
\(338\) | 1.50139 | − | 14.2847i | 0.0816646 | − | 0.776987i | ||||
\(339\) | −0.738814 | − | 7.02934i | −0.0401269 | − | 0.381782i | ||||
\(340\) | 0.923113 | + | 5.88293i | 0.0500629 | + | 0.319046i | ||||
\(341\) | −0.541726 | + | 5.15418i | −0.0293361 | + | 0.279115i | ||||
\(342\) | −14.1488 | − | 43.5456i | −0.765081 | − | 2.35468i | ||||
\(343\) | 1.49836 | + | 18.4595i | 0.0809037 | + | 0.996722i | ||||
\(344\) | 1.42617 | + | 4.38931i | 0.0768941 | + | 0.236656i | ||||
\(345\) | 0.908695 | − | 16.8756i | 0.0489225 | − | 0.908553i | ||||
\(346\) | 16.1623 | + | 17.9500i | 0.868890 | + | 0.965001i | ||||
\(347\) | −2.95401 | − | 3.28076i | −0.158580 | − | 0.176120i | 0.658619 | − | 0.752476i | \(-0.271141\pi\) |
−0.817199 | + | 0.576356i | \(0.804474\pi\) | |||||||
\(348\) | −16.6082 | − | 7.39443i | −0.890291 | − | 0.396383i | ||||
\(349\) | 5.53306 | 0.296178 | 0.148089 | − | 0.988974i | \(-0.452688\pi\) | ||||
0.148089 | + | 0.988974i | \(0.452688\pi\) | |||||||
\(350\) | −28.2779 | + | 13.4167i | −1.51152 | + | 0.717152i | ||||
\(351\) | 52.4236 | 2.79817 | ||||||||
\(352\) | −8.74261 | − | 3.89246i | −0.465982 | − | 0.207469i | ||||
\(353\) | −19.0056 | − | 21.1078i | −1.01156 | − | 1.12346i | −0.992327 | − | 0.123642i | \(-0.960543\pi\) |
−0.0192381 | − | 0.999815i | \(-0.506124\pi\) | |||||||
\(354\) | −31.2859 | − | 34.7465i | −1.66283 | − | 1.84676i | ||||
\(355\) | 17.5010 | − | 21.5487i | 0.928859 | − | 1.14369i | ||||
\(356\) | −13.8389 | − | 42.5916i | −0.733458 | − | 2.25735i | ||||
\(357\) | 5.23220 | − | 3.21218i | 0.276917 | − | 0.170007i | ||||
\(358\) | 4.88296 | + | 15.0282i | 0.258073 | + | 0.794266i | ||||
\(359\) | −1.29325 | + | 12.3045i | −0.0682552 | + | 0.649405i | 0.905895 | + | 0.423503i | \(0.139200\pi\) |
−0.974150 | + | 0.225902i | \(0.927467\pi\) | |||||||
\(360\) | 57.0099 | + | 9.11335i | 3.00469 | + | 0.480316i | ||||
\(361\) | 1.14665 | + | 10.9097i | 0.0603501 | + | 0.574193i | ||||
\(362\) | 5.61215 | − | 53.3961i | 0.294968 | − | 2.80643i | ||||
\(363\) | 8.06730 | + | 5.86124i | 0.423423 | + | 0.307635i | ||||
\(364\) | −41.2110 | + | 5.45980i | −2.16004 | + | 0.286171i | ||||
\(365\) | −1.24682 | + | 4.62663i | −0.0652615 | + | 0.242169i | ||||
\(366\) | −10.2706 | + | 97.7185i | −0.536854 | + | 5.10783i | ||||
\(367\) | 5.75533 | + | 1.22333i | 0.300426 | + | 0.0638575i | 0.355658 | − | 0.934616i | \(-0.384257\pi\) |
−0.0552326 | + | 0.998474i | \(0.517590\pi\) | |||||||
\(368\) | 2.10876 | − | 3.65249i | 0.109927 | − | 0.190399i | ||||
\(369\) | −15.9580 | + | 17.7231i | −0.830738 | + | 0.922628i | ||||
\(370\) | −29.6202 | + | 23.9157i | −1.53988 | + | 1.24332i | ||||
\(371\) | −18.4021 | + | 17.4915i | −0.955388 | + | 0.908115i | ||||
\(372\) | −6.46035 | + | 19.8829i | −0.334953 | + | 1.03088i | ||||
\(373\) | 4.90327 | + | 2.18308i | 0.253882 | + | 0.113035i | 0.529732 | − | 0.848165i | \(-0.322293\pi\) |
−0.275850 | + | 0.961201i | \(0.588959\pi\) | |||||||
\(374\) | 2.44852 | − | 4.24095i | 0.126610 | − | 0.219294i | ||||
\(375\) | −12.7022 | + | 32.6693i | −0.655937 | + | 1.68704i | ||||
\(376\) | 0.697757 | + | 1.20855i | 0.0359841 | + | 0.0623263i | ||||
\(377\) | 5.69403 | − | 4.13695i | 0.293257 | − | 0.213064i | ||||
\(378\) | −17.6023 | − | 73.0557i | −0.905364 | − | 3.75758i | ||||
\(379\) | −8.71071 | + | 26.8088i | −0.447439 | + | 1.37708i | 0.432348 | + | 0.901707i | \(0.357685\pi\) |
−0.879787 | + | 0.475369i | \(0.842315\pi\) | |||||||
\(380\) | 21.2725 | + | 8.20080i | 1.09126 | + | 0.420692i | ||||
\(381\) | −39.4906 | − | 8.39399i | −2.02317 | − | 0.430037i | ||||
\(382\) | −26.4994 | + | 45.8984i | −1.35583 | + | 2.34837i | ||||
\(383\) | −7.61565 | + | 8.45803i | −0.389141 | + | 0.432185i | −0.905604 | − | 0.424124i | \(-0.860582\pi\) |
0.516462 | + | 0.856310i | \(0.327249\pi\) | |||||||
\(384\) | −52.2293 | − | 37.9468i | −2.66531 | − | 1.93646i | ||||
\(385\) | 16.0837 | + | 3.87186i | 0.819702 | + | 0.197328i | ||||
\(386\) | −23.5914 | + | 17.1401i | −1.20077 | + | 0.872409i | ||||
\(387\) | 0.871359 | − | 8.29043i | 0.0442937 | − | 0.421426i | ||||
\(388\) | 8.49836 | − | 3.78371i | 0.431439 | − | 0.192089i | ||||
\(389\) | 3.34325 | + | 31.8089i | 0.169509 | + | 1.61277i | 0.666832 | + | 0.745208i | \(0.267650\pi\) |
−0.497322 | + | 0.867566i | \(0.665683\pi\) | |||||||
\(390\) | −45.6646 | + | 56.2260i | −2.31232 | + | 2.84711i | ||||
\(391\) | −1.44357 | − | 1.04882i | −0.0730045 | − | 0.0530409i | ||||
\(392\) | 9.52485 | + | 24.6924i | 0.481078 | + | 1.24715i | ||||
\(393\) | 2.60341 | 0.131324 | ||||||||
\(394\) | 32.7980 | − | 36.4259i | 1.65234 | − | 1.83511i | ||||
\(395\) | −8.25090 | − | 1.31895i | −0.415148 | − | 0.0663637i | ||||
\(396\) | −45.9741 | − | 51.0594i | −2.31029 | − | 2.56583i | ||||
\(397\) | 31.2483 | − | 6.64203i | 1.56831 | − | 0.333354i | 0.659872 | − | 0.751378i | \(-0.270611\pi\) |
0.908436 | + | 0.418024i | \(0.137277\pi\) | |||||||
\(398\) | 8.86174 | − | 6.43843i | 0.444199 | − | 0.322729i | ||||
\(399\) | −0.634508 | − | 23.4969i | −0.0317652 | − | 1.17631i | ||||
\(400\) | −6.51736 | + | 5.83448i | −0.325868 | + | 0.291724i | ||||
\(401\) | −16.3852 | − | 28.3801i | −0.818240 | − | 1.41723i | −0.906978 | − | 0.421178i | \(-0.861617\pi\) |
0.0887382 | − | 0.996055i | \(-0.471717\pi\) | |||||||
\(402\) | −6.56510 | − | 62.4628i | −0.327437 | − | 3.11536i | ||||
\(403\) | −5.41570 | − | 6.01474i | −0.269775 | − | 0.299616i | ||||
\(404\) | −29.6033 | + | 6.29239i | −1.47282 | + | 0.313058i | ||||
\(405\) | −32.1290 | − | 20.9304i | −1.59650 | − | 1.04004i | ||||
\(406\) | −7.67699 | − | 6.54592i | −0.381003 | − | 0.324869i | ||||
\(407\) | 20.1218 | 0.997401 | ||||||||
\(408\) | 5.87062 | − | 6.51998i | 0.290639 | − | 0.322787i | ||||
\(409\) | 16.5820 | − | 7.38278i | 0.819927 | − | 0.365055i | 0.0464823 | − | 0.998919i | \(-0.485199\pi\) |
0.773444 | + | 0.633864i | \(0.218532\pi\) | |||||||
\(410\) | −2.86410 | − | 18.2527i | −0.141448 | − | 0.901435i | ||||
\(411\) | −38.1150 | − | 16.9699i | −1.88007 | − | 0.837063i | ||||
\(412\) | 56.4663 | + | 41.0252i | 2.78190 | + | 2.02117i | ||||
\(413\) | −7.19190 | − | 15.0465i | −0.353890 | − | 0.740389i | ||||
\(414\) | −31.5123 | + | 22.8950i | −1.54875 | + | 1.12523i | ||||
\(415\) | −0.0704695 | + | 1.30871i | −0.00345921 | + | 0.0642420i | ||||
\(416\) | 13.6534 | − | 6.07886i | 0.669411 | − | 0.298041i | ||||
\(417\) | 18.6754 | + | 3.96958i | 0.914539 | + | 0.194391i | ||||
\(418\) | −9.37422 | − | 16.2366i | −0.458508 | − | 0.794159i | ||||
\(419\) | −1.94167 | − | 5.97584i | −0.0948566 | − | 0.291939i | 0.892360 | − | 0.451325i | \(-0.149048\pi\) |
−0.987216 | + | 0.159386i | \(0.949048\pi\) | |||||||
\(420\) | 60.2154 | + | 28.7669i | 2.93821 | + | 1.40368i | ||||
\(421\) | −3.51402 | + | 10.8150i | −0.171263 | + | 0.527092i | −0.999443 | − | 0.0333693i | \(-0.989376\pi\) |
0.828180 | + | 0.560462i | \(0.189376\pi\) | |||||||
\(422\) | 20.1349 | − | 4.27980i | 0.980150 | − | 0.208337i | ||||
\(423\) | −0.263476 | − | 2.50681i | −0.0128107 | − | 0.121885i | ||||
\(424\) | −18.1405 | + | 31.4202i | −0.880980 | + | 1.52590i | ||||
\(425\) | 2.16671 | + | 3.00028i | 0.105101 | + | 0.145535i | ||||
\(426\) | −92.0894 | −4.46175 | ||||||||
\(427\) | −13.3851 | + | 32.3894i | −0.647751 | + | 1.56743i | ||||
\(428\) | −1.81387 | + | 5.58252i | −0.0876768 | + | 0.269841i | ||||
\(429\) | 37.4480 | − | 7.95982i | 1.80801 | − | 0.384304i | ||||
\(430\) | 4.56001 | + | 4.57311i | 0.219903 | + | 0.220535i | ||||
\(431\) | −4.22853 | − | 0.898801i | −0.203681 | − | 0.0432937i | 0.104941 | − | 0.994478i | \(-0.466535\pi\) |
−0.308622 | + | 0.951185i | \(0.599868\pi\) | |||||||
\(432\) | −10.5008 | − | 18.1879i | −0.505220 | − | 0.875067i | ||||
\(433\) | 7.46804 | + | 22.9843i | 0.358891 | + | 1.10455i | 0.953719 | + | 0.300700i | \(0.0972202\pi\) |
−0.594828 | + | 0.803853i | \(0.702780\pi\) | |||||||
\(434\) | −6.56350 | + | 9.56670i | −0.315058 | + | 0.459216i | ||||
\(435\) | −11.2838 | + | 0.575125i | −0.541016 | + | 0.0275751i | ||||
\(436\) | −8.08050 | − | 3.59767i | −0.386986 | − | 0.172297i | ||||
\(437\) | −6.24083 | + | 2.77860i | −0.298540 | + | 0.132918i | ||||
\(438\) | 14.5213 | − | 6.46528i | 0.693852 | − | 0.308923i | ||||
\(439\) | 16.1402 | + | 7.18606i | 0.770328 | + | 0.342972i | 0.753983 | − | 0.656894i | \(-0.228130\pi\) |
0.0163452 | + | 0.999866i | \(0.494797\pi\) | |||||||
\(440\) | 23.6098 | − | 1.20337i | 1.12555 | − | 0.0573686i | ||||
\(441\) | 2.42377 | − | 47.7417i | 0.115418 | − | 2.27341i | ||||
\(442\) | 2.36327 | + | 7.27340i | 0.112409 | + | 0.345960i | ||||
\(443\) | −4.41947 | − | 7.65474i | −0.209975 | − | 0.363688i | 0.741731 | − | 0.670697i | \(-0.234005\pi\) |
−0.951706 | + | 0.307009i | \(0.900672\pi\) | |||||||
\(444\) | 79.3961 | + | 16.8762i | 3.76797 | + | 0.800907i | ||||
\(445\) | −19.6520 | − | 19.7084i | −0.931592 | − | 0.934269i | ||||
\(446\) | 35.7089 | − | 7.59016i | 1.69087 | − | 0.359405i | ||||
\(447\) | −17.8756 | + | 55.0153i | −0.845485 | + | 2.60214i | ||||
\(448\) | −18.6972 | − | 24.3255i | −0.883360 | − | 1.14927i | ||||
\(449\) | −21.8122 | −1.02938 | −0.514690 | − | 0.857377i | \(-0.672093\pi\) | ||||
−0.514690 | + | 0.857377i | \(0.672093\pi\) | |||||||
\(450\) | 76.9048 | − | 24.7441i | 3.62533 | − | 1.16645i | ||||
\(451\) | −4.88274 | + | 8.45715i | −0.229919 | + | 0.398231i | ||||
\(452\) | −0.847887 | − | 8.06711i | −0.0398813 | − | 0.379445i | ||||
\(453\) | 39.5982 | − | 8.41685i | 1.86048 | − | 0.395458i | ||||
\(454\) | 4.32800 | − | 13.3202i | 0.203123 | − | 0.625149i | ||||
\(455\) | −21.3008 | + | 14.6203i | −0.998596 | + | 0.685409i | ||||
\(456\) | −10.3798 | − | 31.9456i | −0.486077 | − | 1.49599i | ||||
\(457\) | 6.20985 | + | 10.7558i | 0.290484 | + | 0.503134i | 0.973924 | − | 0.226873i | \(-0.0728502\pi\) |
−0.683440 | + | 0.730007i | \(0.739517\pi\) | |||||||
\(458\) | 50.3029 | + | 10.6922i | 2.35050 | + | 0.499614i | ||||
\(459\) | −8.11718 | + | 3.61400i | −0.378878 | + | 0.168687i | ||||
\(460\) | 1.04285 | − | 19.3670i | 0.0486231 | − | 0.902992i | ||||
\(461\) | 19.7274 | − | 14.3328i | 0.918797 | − | 0.667545i | −0.0244275 | − | 0.999702i | \(-0.507776\pi\) |
0.943224 | + | 0.332157i | \(0.107776\pi\) | |||||||
\(462\) | −23.6664 | − | 49.5135i | −1.10106 | − | 2.30358i | ||||
\(463\) | −26.4262 | − | 19.1998i | −1.22813 | − | 0.892288i | −0.231381 | − | 0.972863i | \(-0.574324\pi\) |
−0.996749 | + | 0.0805747i | \(0.974324\pi\) | |||||||
\(464\) | −2.57583 | − | 1.14683i | −0.119580 | − | 0.0532404i | ||||
\(465\) | 2.01409 | + | 12.8357i | 0.0934014 | + | 0.595240i | ||||
\(466\) | −8.84918 | + | 3.93991i | −0.409930 | + | 0.182513i | ||||
\(467\) | −14.5752 | + | 16.1874i | −0.674458 | + | 0.749061i | −0.979094 | − | 0.203407i | \(-0.934798\pi\) |
0.304636 | + | 0.952469i | \(0.401465\pi\) | |||||||
\(468\) | 107.300 | 4.95996 | ||||||||
\(469\) | 4.06442 | − | 22.0301i | 0.187677 | − | 1.01726i | ||||
\(470\) | 1.63620 | + | 1.06590i | 0.0754721 | + | 0.0491662i | ||||
\(471\) | −48.9481 | + | 10.4042i | −2.25541 | + | 0.479402i | ||||
\(472\) | −15.9464 | − | 17.7103i | −0.733995 | − | 0.815183i | ||||
\(473\) | −0.356799 | − | 3.39472i | −0.0164056 | − | 0.156089i | ||||
\(474\) | 13.8591 | + | 24.0047i | 0.636572 | + | 1.10257i | ||||
\(475\) | 14.0954 | − | 1.44060i | 0.646742 | − | 0.0660995i | ||||
\(476\) | 6.00464 | − | 3.68641i | 0.275222 | − | 0.168966i | ||||
\(477\) | 53.0163 | − | 38.5186i | 2.42745 | − | 1.76364i | ||||
\(478\) | −23.3216 | + | 4.95716i | −1.06671 | + | 0.226735i | ||||
\(479\) | 5.71174 | + | 6.34353i | 0.260976 | + | 0.289843i | 0.859365 | − | 0.511362i | \(-0.170859\pi\) |
−0.598389 | + | 0.801206i | \(0.704192\pi\) | |||||||
\(480\) | −23.6912 | − | 3.78716i | −1.08135 | − | 0.172860i | ||||
\(481\) | −21.0269 | + | 23.3528i | −0.958746 | + | 1.06480i | ||||
\(482\) | −0.0189625 | −0.000863720 | ||||||||
\(483\) | −18.8440 | + | 6.69035i | −0.857432 | + | 0.304422i | ||||
\(484\) | 9.25830 | + | 6.72655i | 0.420832 | + | 0.305752i | ||||
\(485\) | 3.64478 | − | 4.48775i | 0.165501 | − | 0.203778i | ||||
\(486\) | 4.38966 | + | 41.7648i | 0.199119 | + | 1.89449i | ||||
\(487\) | 21.5659 | − | 9.60175i | 0.977243 | − | 0.435097i | 0.144954 | − | 0.989438i | \(-0.453697\pi\) |
0.832289 | + | 0.554342i | \(0.187030\pi\) | |||||||
\(488\) | −5.23495 | + | 49.8072i | −0.236975 | + | 2.25467i | ||||
\(489\) | −25.9979 | + | 18.8886i | −1.17567 | + | 0.854172i | ||||
\(490\) | 27.5265 | + | 24.7750i | 1.24352 | + | 1.11922i | ||||
\(491\) | 27.5330 | + | 20.0039i | 1.24255 | + | 0.902763i | 0.997765 | − | 0.0668156i | \(-0.0212839\pi\) |
0.244781 | + | 0.969578i | \(0.421284\pi\) | |||||||
\(492\) | −26.3592 | + | 29.2749i | −1.18836 | + | 1.31981i | ||||
\(493\) | −0.596458 | + | 1.03310i | −0.0268631 | + | 0.0465283i | ||||
\(494\) | 28.6397 | + | 6.08755i | 1.28856 | + | 0.273892i | ||||
\(495\) | −39.8420 | − | 15.3595i | −1.79076 | − | 0.690360i | ||||
\(496\) | −1.00196 | + | 3.08373i | −0.0449895 | + | 0.138463i | ||||
\(497\) | −31.5014 | − | 9.30314i | −1.41303 | − | 0.417303i | ||||
\(498\) | 3.51735 | − | 2.55550i | 0.157616 | − | 0.114515i | ||||
\(499\) | −13.5405 | − | 23.4528i | −0.606155 | − | 1.04989i | −0.991868 | − | 0.127273i | \(-0.959378\pi\) |
0.385712 | − | 0.922619i | \(-0.373956\pi\) | |||||||
\(500\) | −14.5774 | + | 37.4924i | −0.651923 | + | 1.67671i | ||||
\(501\) | −30.8442 | + | 53.4237i | −1.37802 | + | 2.38680i | ||||
\(502\) | 26.0295 | + | 11.5891i | 1.16175 | + | 0.517246i | ||||
\(503\) | 5.98657 | − | 18.4248i | 0.266928 | − | 0.821519i | −0.724315 | − | 0.689469i | \(-0.757844\pi\) |
0.991243 | − | 0.132050i | \(-0.0421560\pi\) | |||||||
\(504\) | −16.0013 | − | 66.4110i | −0.712754 | − | 2.95818i | ||||
\(505\) | −14.6342 | + | 11.8158i | −0.651214 | + | 0.525798i | ||||
\(506\) | −10.6724 | + | 11.8529i | −0.474444 | + | 0.526924i | ||||
\(507\) | −9.51628 | + | 16.4827i | −0.422633 | + | 0.732022i | ||||
\(508\) | −45.3208 | − | 9.63323i | −2.01078 | − | 0.427405i | ||||
\(509\) | 0.0806152 | − | 0.767002i | 0.00357320 | − | 0.0339968i | −0.992590 | − | 0.121512i | \(-0.961226\pi\) |
0.996163 | + | 0.0875148i | \(0.0278925\pi\) | |||||||
\(510\) | 3.19450 | − | 11.8540i | 0.141455 | − | 0.524903i | ||||
\(511\) | 5.62049 | − | 0.744626i | 0.248636 | − | 0.0329403i | ||||
\(512\) | −15.5463 | − | 11.2951i | −0.687057 | − | 0.499176i | ||||
\(513\) | −3.55584 | + | 33.8315i | −0.156994 | + | 1.49370i | ||||
\(514\) | −2.56010 | − | 24.3577i | −0.112921 | − | 1.07437i | ||||
\(515\) | 42.8331 | + | 6.84711i | 1.88745 | + | 0.301720i | ||||
\(516\) | 1.43930 | − | 13.6940i | 0.0633617 | − | 0.602847i | ||||
\(517\) | −0.318945 | − | 0.981613i | −0.0140272 | − | 0.0431713i | ||||
\(518\) | 39.6038 | + | 21.4612i | 1.74009 | + | 0.942952i | ||||
\(519\) | −9.89041 | − | 30.4395i | −0.434141 | − | 1.33615i | ||||
\(520\) | −23.2753 | + | 28.6584i | −1.02069 | + | 1.25675i | ||||
\(521\) | 11.3917 | + | 12.6517i | 0.499078 | + | 0.554282i | 0.939073 | − | 0.343718i | \(-0.111686\pi\) |
−0.439995 | + | 0.898000i | \(0.645020\pi\) | |||||||
\(522\) | 17.4246 | + | 19.3520i | 0.762654 | + | 0.847013i | ||||
\(523\) | 25.8114 | + | 11.4920i | 1.12866 | + | 0.502510i | 0.884180 | − | 0.467146i | \(-0.154718\pi\) |
0.244475 | + | 0.969656i | \(0.421384\pi\) | |||||||
\(524\) | 2.98776 | 0.130521 | ||||||||
\(525\) | 41.4618 | − | 1.00058i | 1.80954 | − | 0.0436688i | ||||
\(526\) | 45.7836 | 1.99626 | ||||||||
\(527\) | 1.25320 | + | 0.557963i | 0.0545904 | + | 0.0243052i | ||||
\(528\) | −10.2627 | − | 11.3979i | −0.446626 | − | 0.496028i | ||||
\(529\) | −11.5013 | − | 12.7735i | −0.500055 | − | 0.555368i | ||||
\(530\) | −2.72975 | + | 50.6949i | −0.118573 | + | 2.20205i | ||||
\(531\) | 13.3017 | + | 40.9385i | 0.577246 | + | 1.77658i | ||||
\(532\) | −0.728183 | − | 26.9658i | −0.0315707 | − | 1.16912i | ||||
\(533\) | −4.71275 | − | 14.5043i | −0.204132 | − | 0.628253i | ||||
\(534\) | −9.65084 | + | 91.8216i | −0.417633 | + | 3.97351i | ||||
\(535\) | 0.565498 | + | 3.60387i | 0.0244486 | + | 0.155809i | ||||
\(536\) | −3.34624 | − | 31.8373i | −0.144535 | − | 1.37516i | ||||
\(537\) | 2.18865 | − | 20.8236i | 0.0944470 | − | 0.898603i | ||||
\(538\) | 0.414655 | + | 0.301264i | 0.0178770 | + | 0.0129884i | ||||
\(539\) | −3.09368 | − | 19.3282i | −0.133254 | − | 0.832522i | ||||
\(540\) | −80.9231 | − | 52.7173i | −3.48238 | − | 2.26859i | ||||
\(541\) | 2.10834 | − | 20.0595i | 0.0906446 | − | 0.862426i | −0.850852 | − | 0.525405i | \(-0.823914\pi\) |
0.941497 | − | 0.337021i | \(-0.109419\pi\) | |||||||
\(542\) | −57.7506 | − | 12.2753i | −2.48060 | − | 0.527268i | ||||
\(543\) | −35.5717 | + | 61.6120i | −1.52653 | + | 2.64402i | ||||
\(544\) | −1.69499 | + | 1.88248i | −0.0726723 | + | 0.0807107i | ||||
\(545\) | −5.48998 | + | 0.279820i | −0.235165 | + | 0.0119862i | ||||
\(546\) | 82.1950 | + | 24.2742i | 3.51762 | + | 1.03884i | ||||
\(547\) | 10.2724 | − | 31.6151i | 0.439215 | − | 1.35177i | −0.449490 | − | 0.893285i | \(-0.648394\pi\) |
0.888705 | − | 0.458480i | \(-0.151606\pi\) | |||||||
\(548\) | −43.7420 | − | 19.4752i | −1.86857 | − | 0.831940i | ||||
\(549\) | 45.2293 | − | 78.3395i | 1.93034 | − | 3.34345i | ||||
\(550\) | 28.6958 | − | 16.4579i | 1.22359 | − | 0.701769i | ||||
\(551\) | 2.28356 | + | 3.95524i | 0.0972828 | + | 0.168499i | ||||
\(552\) | −23.1178 | + | 16.7961i | −0.983960 | + | 0.714889i | ||||
\(553\) | 2.31583 | + | 9.61150i | 0.0984790 | + | 0.408722i | ||||
\(554\) | −6.27672 | + | 19.3178i | −0.266672 | + | 0.820733i | ||||
\(555\) | 48.7452 | − | 12.9863i | 2.06912 | − | 0.551238i | ||||
\(556\) | 21.4325 | + | 4.55562i | 0.908942 | + | 0.193202i | ||||
\(557\) | −18.8703 | + | 32.6843i | −0.799560 | + | 1.38488i | 0.120343 | + | 0.992732i | \(0.461600\pi\) |
−0.919903 | + | 0.392146i | \(0.871733\pi\) | |||||||
\(558\) | 20.0376 | − | 22.2540i | 0.848258 | − | 0.942086i | ||||
\(559\) | 4.31266 | + | 3.13333i | 0.182406 | + | 0.132526i | ||||
\(560\) | 9.33907 | + | 4.46159i | 0.394648 | + | 0.188537i | ||||
\(561\) | −5.24965 | + | 3.81409i | −0.221640 | + | 0.161031i | ||||
\(562\) | −4.23333 | + | 40.2774i | −0.178572 | + | 1.69900i | ||||
\(563\) | 3.74909 | − | 1.66920i | 0.158005 | − | 0.0703486i | −0.326210 | − | 0.945297i | \(-0.605772\pi\) |
0.484216 | + | 0.874949i | \(0.339105\pi\) | |||||||
\(564\) | −0.435208 | − | 4.14072i | −0.0183256 | − | 0.174356i | ||||
\(565\) | −2.73954 | − | 4.23180i | −0.115253 | − | 0.178033i | ||||
\(566\) | −1.36429 | − | 0.991218i | −0.0573456 | − | 0.0416640i | ||||
\(567\) | −8.23167 | + | 44.6177i | −0.345698 | + | 1.87377i | ||||
\(568\) | −46.9380 | −1.96948 | ||||||||
\(569\) | −2.17958 | + | 2.42067i | −0.0913728 | + | 0.101480i | −0.787097 | − | 0.616829i | \(-0.788417\pi\) |
0.695724 | + | 0.718309i | \(0.255084\pi\) | |||||||
\(570\) | −33.1880 | − | 33.2834i | −1.39009 | − | 1.39409i | ||||
\(571\) | −16.2057 | − | 17.9983i | −0.678189 | − | 0.753205i | 0.301557 | − | 0.953448i | \(-0.402494\pi\) |
−0.979746 | + | 0.200243i | \(0.935827\pi\) | |||||||
\(572\) | 42.9766 | − | 9.13496i | 1.79694 | − | 0.381952i | ||||
\(573\) | 56.8151 | − | 41.2786i | 2.37349 | − | 1.72444i | ||||
\(574\) | −18.6303 | + | 11.4376i | −0.777615 | + | 0.477398i | ||||
\(575\) | −4.87104 | − | 11.0256i | −0.203136 | − | 0.459798i | ||||
\(576\) | 39.5956 | + | 68.5816i | 1.64982 | + | 2.85757i | ||||
\(577\) | −2.30246 | − | 21.9064i | −0.0958525 | − | 0.911976i | −0.931753 | − | 0.363094i | \(-0.881720\pi\) |
0.835900 | − | 0.548882i | \(-0.184946\pi\) | |||||||
\(578\) | 26.0465 | + | 28.9275i | 1.08339 | + | 1.20323i | ||||
\(579\) | 37.7954 | − | 8.03367i | 1.57072 | − | 0.333868i | ||||
\(580\) | −12.9496 | + | 0.660033i | −0.537705 | + | 0.0274064i | ||||
\(581\) | 1.46136 | − | 0.518839i | 0.0606273 | − | 0.0215251i | ||||
\(582\) | −19.1786 | −0.794979 | ||||||||
\(583\) | 17.9552 | − | 19.9412i | 0.743627 | − | 0.825881i | ||||
\(584\) | 7.40149 | − | 3.29536i | 0.306276 | − | 0.136363i | ||||
\(585\) | 59.4601 | − | 30.1890i | 2.45837 | − | 1.24816i | ||||
\(586\) | 29.7181 | + | 13.2314i | 1.22764 | + | 0.546583i | ||||
\(587\) | 0.668288 | + | 0.485539i | 0.0275832 | + | 0.0200404i | 0.601491 | − | 0.798879i | \(-0.294573\pi\) |
−0.573908 | + | 0.818920i | \(0.694573\pi\) | |||||||
\(588\) | 4.00357 | − | 78.8592i | 0.165104 | − | 3.25210i | ||||
\(589\) | 4.24895 | − | 3.08704i | 0.175075 | − | 0.127199i | ||||
\(590\) | −31.1157 | − | 11.9954i | −1.28101 | − | 0.493845i | ||||
\(591\) | −59.3344 | + | 26.4174i | −2.44069 | + | 1.08667i | ||||
\(592\) | 12.3139 | + | 2.61740i | 0.506098 | + | 0.107574i | ||||
\(593\) | −22.3772 | − | 38.7584i | −0.918921 | − | 1.59162i | −0.801057 | − | 0.598589i | \(-0.795728\pi\) |
−0.117865 | − | 0.993030i | \(-0.537605\pi\) | |||||||
\(594\) | 24.5429 | + | 75.5354i | 1.00701 | + | 3.09926i | ||||
\(595\) | 2.29028 | − | 3.73222i | 0.0938922 | − | 0.153006i | ||||
\(596\) | −20.5146 | + | 63.1374i | −0.840310 | + | 2.58621i | ||||
\(597\) | −14.1973 | + | 3.01773i | −0.581056 | + | 0.123507i | ||||
\(598\) | −2.60365 | − | 24.7721i | −0.106471 | − | 1.01300i | ||||
\(599\) | 16.9518 | − | 29.3615i | 0.692634 | − | 1.19968i | −0.278338 | − | 0.960483i | \(-0.589784\pi\) |
0.970972 | − | 0.239193i | \(-0.0768830\pi\) | |||||||
\(600\) | 56.4184 | − | 18.1526i | 2.30327 | − | 0.741077i | ||||
\(601\) | −18.9461 | −0.772829 | −0.386414 | − | 0.922325i | \(-0.626287\pi\) | ||||
−0.386414 | + | 0.922325i | \(0.626287\pi\) | |||||||
\(602\) | 2.91844 | − | 7.06205i | 0.118947 | − | 0.287828i | ||||
\(603\) | −17.8680 | + | 54.9922i | −0.727643 | + | 2.23946i | ||||
\(604\) | 45.4442 | − | 9.65946i | 1.84910 | − | 0.393038i | ||||
\(605\) | 7.02297 | + | 1.12266i | 0.285525 | + | 0.0456427i | ||||
\(606\) | 61.0314 | + | 12.9726i | 2.47923 | + | 0.526977i | ||||
\(607\) | −1.43161 | − | 2.47962i | −0.0581072 | − | 0.100645i | 0.835509 | − | 0.549477i | \(-0.185173\pi\) |
−0.893616 | + | 0.448833i | \(0.851840\pi\) | |||||||
\(608\) | 2.99690 | + | 9.22350i | 0.121540 | + | 0.374062i | ||||
\(609\) | 5.76514 | + | 12.0615i | 0.233615 | + | 0.488756i | ||||
\(610\) | 25.0204 | + | 65.4610i | 1.01305 | + | 2.65044i | ||||
\(611\) | 1.47252 | + | 0.655610i | 0.0595720 | + | 0.0265231i | ||||
\(612\) | −16.6142 | + | 7.39711i | −0.671589 | + | 0.299010i | ||||
\(613\) | 0.667286 | − | 0.297095i | 0.0269514 | − | 0.0119995i | −0.393217 | − | 0.919446i | \(-0.628638\pi\) |
0.420168 | + | 0.907446i | \(0.361971\pi\) | |||||||
\(614\) | −35.4329 | − | 15.7757i | −1.42995 | − | 0.636656i | ||||
\(615\) | −6.37035 | + | 23.6387i | −0.256877 | + | 0.953206i | ||||
\(616\) | −12.0628 | − | 25.2371i | −0.486024 | − | 1.01683i | ||||
\(617\) | −0.0474601 | − | 0.146067i | −0.00191067 | − | 0.00588044i | 0.950097 | − | 0.311956i | \(-0.100984\pi\) |
−0.952007 | + | 0.306075i | \(0.900984\pi\) | |||||||
\(618\) | −71.9473 | − | 124.616i | −2.89414 | − | 5.01280i | ||||
\(619\) | −24.3069 | − | 5.16659i | −0.976976 | − | 0.207663i | −0.308359 | − | 0.951270i | \(-0.599780\pi\) |
−0.668617 | + | 0.743607i | \(0.733113\pi\) | |||||||
\(620\) | 2.31144 | + | 14.7306i | 0.0928298 | + | 0.591596i | ||||
\(621\) | 28.3071 | − | 6.01687i | 1.13593 | − | 0.241449i | ||||
\(622\) | 25.1378 | − | 77.3663i | 1.00794 | − | 3.10211i | ||||
\(623\) | −12.5774 | + | 30.4348i | −0.503902 | + | 1.21935i | ||||
\(624\) | 23.9524 | 0.958862 | ||||||||
\(625\) | 2.47048 | + | 24.8776i | 0.0988191 | + | 0.995105i | ||||
\(626\) | 29.8090 | − | 51.6307i | 1.19141 | − | 2.06358i | ||||
\(627\) | 2.59680 | + | 24.7069i | 0.103706 | + | 0.986700i | ||||
\(628\) | −56.1744 | + | 11.9402i | −2.24160 | + | 0.476468i | ||||
\(629\) | 1.64587 | − | 5.06547i | 0.0656251 | − | 0.201973i | ||||
\(630\) | −62.0352 | − | 72.7248i | −2.47154 | − | 2.89743i | ||||
\(631\) | −5.62637 | − | 17.3162i | −0.223982 | − | 0.689346i | −0.998393 | − | 0.0566636i | \(-0.981954\pi\) |
0.774411 | − | 0.632683i | \(-0.218046\pi\) | |||||||
\(632\) | 7.06402 | + | 12.2352i | 0.280992 | + | 0.486692i | ||||
\(633\) | −26.6802 | − | 5.67104i | −1.06044 | − | 0.225404i | ||||
\(634\) | −20.6080 | + | 9.17526i | −0.818447 | + | 0.364396i | ||||
\(635\) | −27.8247 | + | 7.41282i | −1.10419 | + | 0.294169i | ||||
\(636\) | 87.5717 | − | 63.6246i | 3.47245 | − | 2.52288i | ||||
\(637\) | 25.6645 | + | 16.6072i | 1.01687 | + | 0.658000i | ||||
\(638\) | 8.62654 | + | 6.26755i | 0.341528 | + | 0.248135i | ||||
\(639\) | 77.4511 | + | 34.4835i | 3.06392 | + | 1.36414i | ||||
\(640\) | −45.4681 | − | 7.26833i | −1.79728 | − | 0.287306i | ||||
\(641\) | 44.4716 | − | 19.8000i | 1.75652 | − | 0.782055i | 0.766314 | − | 0.642466i | \(-0.222089\pi\) |
0.990210 | − | 0.139588i | \(-0.0445779\pi\) | |||||||
\(642\) | 8.09744 | − | 8.99311i | 0.319580 | − | 0.354930i | ||||
\(643\) | −8.00417 | −0.315654 | −0.157827 | − | 0.987467i | \(-0.550449\pi\) | ||||
−0.157827 | + | 0.987467i | \(0.550449\pi\) | |||||||
\(644\) | −21.6260 | + | 7.67807i | −0.852184 | + | 0.302558i | ||||
\(645\) | −3.05525 | − | 7.99345i | −0.120300 | − | 0.314742i | ||||
\(646\) | −4.85418 | + | 1.03179i | −0.190985 | + | 0.0405952i | ||||
\(647\) | 13.6821 | + | 15.1955i | 0.537897 | + | 0.597395i | 0.949422 | − | 0.314003i | \(-0.101670\pi\) |
−0.411525 | + | 0.911399i | \(0.635004\pi\) | |||||||
\(648\) | 6.77714 | + | 64.4802i | 0.266231 | + | 2.53302i | ||||
\(649\) | 8.81297 | + | 15.2645i | 0.345939 | + | 0.599185i | ||||
\(650\) | −10.8861 | + | 50.5018i | −0.426986 | + | 1.98084i | ||||
\(651\) | 13.1012 | − | 8.04318i | 0.513478 | − | 0.315237i | ||||
\(652\) | −29.8361 | + | 21.6772i | −1.16847 | + | 0.848944i | ||||
\(653\) | 14.8709 | − | 3.16091i | 0.581944 | − | 0.123696i | 0.0924725 | − | 0.995715i | \(-0.470523\pi\) |
0.489472 | + | 0.872019i | \(0.337190\pi\) | |||||||
\(654\) | 12.2020 | + | 13.5517i | 0.477136 | + | 0.529913i | ||||
\(655\) | 1.65565 | − | 0.840608i | 0.0646918 | − | 0.0328453i | ||||
\(656\) | −4.08816 | + | 4.54036i | −0.159616 | + | 0.177271i | ||||
\(657\) | −14.6340 | −0.570925 | ||||||||
\(658\) | 0.419205 | − | 2.27219i | 0.0163423 | − | 0.0885792i | ||||
\(659\) | −24.1827 | − | 17.5698i | −0.942026 | − | 0.684422i | 0.00688136 | − | 0.999976i | \(-0.497810\pi\) |
−0.948908 | + | 0.315554i | \(0.897810\pi\) | |||||||
\(660\) | −65.8106 | − | 25.3707i | −2.56167 | − | 0.987554i | ||||
\(661\) | −5.12185 | − | 48.7312i | −0.199217 | − | 1.89542i | −0.401133 | − | 0.916020i | \(-0.631383\pi\) |
0.201916 | − | 0.979403i | \(-0.435283\pi\) | |||||||
\(662\) | −57.4714 | + | 25.5879i | −2.23369 | + | 0.994502i | ||||
\(663\) | 1.05927 | − | 10.0783i | 0.0411385 | − | 0.391407i | ||||
\(664\) | 1.79279 | − | 1.30254i | 0.0695739 | − | 0.0505484i | ||||
\(665\) | −7.99037 | − | 14.7381i | −0.309853 | − | 0.571520i | ||||
\(666\) | −94.0618 | − | 68.3399i | −3.64482 | − | 2.64812i | ||||
\(667\) | 2.59978 | − | 2.88735i | 0.100664 | − | 0.111799i | ||||
\(668\) | −35.3978 | + | 61.3109i | −1.36958 | + | 2.37219i | ||||
\(669\) | −47.3169 | − | 10.0575i | −1.82938 | − | 0.388846i | ||||
\(670\) | −24.3436 | − | 37.6038i | −0.940474 | − | 1.45276i | ||||
\(671\) | 11.4462 | − | 35.2276i | 0.441874 | − | 1.35995i | ||||
\(672\) | 6.64953 | + | 27.5979i | 0.256511 | + | 1.06461i | ||||
\(673\) | −0.262718 | + | 0.190876i | −0.0101271 | + | 0.00735773i | −0.592837 | − | 0.805322i | \(-0.701992\pi\) |
0.582710 | + | 0.812680i | \(0.301992\pi\) | |||||||
\(674\) | −8.76656 | − | 15.1841i | −0.337675 | − | 0.584871i | ||||
\(675\) | −59.6753 | − | 6.44532i | −2.29690 | − | 0.248080i | ||||
\(676\) | −10.9212 | + | 18.9161i | −0.420046 | + | 0.727541i | ||||
\(677\) | −26.6257 | − | 11.8545i | −1.02331 | − | 0.455606i | −0.174696 | − | 0.984622i | \(-0.555894\pi\) |
−0.848612 | + | 0.529016i | \(0.822561\pi\) | |||||||
\(678\) | −5.16771 | + | 15.9046i | −0.198465 | + | 0.610812i | ||||
\(679\) | −6.56051 | − | 1.93748i | −0.251769 | − | 0.0743537i | ||||
\(680\) | 1.62824 | − | 6.04198i | 0.0624401 | − | 0.231699i | ||||
\(681\) | −12.4181 | + | 13.7917i | −0.475863 | + | 0.528499i | ||||
\(682\) | 6.13099 | − | 10.6192i | 0.234768 | − | 0.406630i | ||||
\(683\) | 30.3587 | + | 6.45294i | 1.16164 | + | 0.246915i | 0.748111 | − | 0.663574i | \(-0.230961\pi\) |
0.413533 | + | 0.910489i | \(0.364295\pi\) | |||||||
\(684\) | −7.27806 | + | 69.2461i | −0.278284 | + | 2.64769i | ||||
\(685\) | −29.7189 | + | 1.51475i | −1.13550 | + | 0.0578754i | ||||
\(686\) | 14.5257 | − | 41.3414i | 0.554596 | − | 1.57842i | ||||
\(687\) | −55.1297 | − | 40.0541i | −2.10333 | − | 1.52816i | ||||
\(688\) | 0.223228 | − | 2.12387i | 0.00851047 | − | 0.0809717i | ||||
\(689\) | 4.38037 | + | 41.6765i | 0.166879 | + | 1.58775i | ||||
\(690\) | −18.2042 | + | 35.6014i | −0.693022 | + | 1.35532i | ||||
\(691\) | −2.62249 | + | 24.9514i | −0.0997643 | + | 0.949194i | 0.824092 | + | 0.566456i | \(0.191686\pi\) |
−0.923857 | + | 0.382739i | \(0.874981\pi\) | |||||||
\(692\) | −11.3506 | − | 34.9334i | −0.431484 | − | 1.32797i | ||||
\(693\) | 1.36384 | + | 50.5050i | 0.0518079 | + | 1.91853i | ||||
\(694\) | 3.22774 | + | 9.93397i | 0.122523 | + | 0.377088i | ||||
\(695\) | 13.1585 | − | 3.50558i | 0.499130 | − | 0.132974i | ||||
\(696\) | 12.7829 | + | 14.1969i | 0.484535 | + | 0.538131i | ||||
\(697\) | 1.72962 | + | 1.92094i | 0.0655140 | + | 0.0727607i | ||||
\(698\) | −11.9594 | − | 5.32469i | −0.452671 | − | 0.201542i | ||||
\(699\) | 12.8355 | 0.485483 | ||||||||
\(700\) | 47.5829 | − | 1.14830i | 1.79846 | − | 0.0434015i | ||||
\(701\) | −40.1495 | −1.51643 | −0.758213 | − | 0.652007i | \(-0.773927\pi\) | ||||
−0.758213 | + | 0.652007i | \(0.773927\pi\) | |||||||
\(702\) | −113.311 | − | 50.4494i | −4.27666 | − | 1.90409i | ||||
\(703\) | −13.6445 | − | 15.1537i | −0.514611 | − | 0.571533i | ||||
\(704\) | 21.6978 | + | 24.0978i | 0.817765 | + | 0.908220i | ||||
\(705\) | −1.40617 | − | 2.17212i | −0.0529593 | − | 0.0818068i | ||||
\(706\) | 20.7667 | + | 63.9134i | 0.781566 | + | 2.40541i | ||||
\(707\) | 19.5667 | + | 10.6032i | 0.735883 | + | 0.398773i | ||||
\(708\) | 21.9717 | + | 67.6218i | 0.825746 | + | 2.54138i | ||||
\(709\) | 1.92208 | − | 18.2874i | 0.0721853 | − | 0.686798i | −0.897262 | − | 0.441498i | \(-0.854447\pi\) |
0.969447 | − | 0.245299i | \(-0.0788862\pi\) | |||||||
\(710\) | −58.5649 | + | 29.7345i | −2.19790 | + | 1.11592i | ||||
\(711\) | −2.66741 | − | 25.3787i | −0.100036 | − | 0.951774i | ||||
\(712\) | −4.91904 | + | 46.8015i | −0.184349 | + | 1.75396i | ||||
\(713\) | −3.61465 | − | 2.62620i | −0.135370 | − | 0.0983518i | ||||
\(714\) | −14.4004 | + | 1.90782i | −0.538920 | + | 0.0713984i | ||||
\(715\) | 21.2452 | − | 17.1536i | 0.794525 | − | 0.641509i | ||||
\(716\) | 2.51176 | − | 23.8978i | 0.0938690 | − | 0.893103i | ||||
\(717\) | 30.9028 | + | 6.56860i | 1.15409 | + | 0.245309i | ||||
\(718\) | 14.6364 | − | 25.3510i | 0.546226 | − | 0.946090i | ||||
\(719\) | −13.0466 | + | 14.4898i | −0.486557 | + | 0.540377i | −0.935567 | − | 0.353151i | \(-0.885110\pi\) |
0.449009 | + | 0.893527i | \(0.351777\pi\) | |||||||
\(720\) | −22.3841 | − | 14.5821i | −0.834205 | − | 0.543443i | ||||
\(721\) | −12.0222 | − | 49.8963i | −0.447730 | − | 1.85824i | ||||
\(722\) | 8.02039 | − | 24.6842i | 0.298488 | − | 0.918651i | ||||
\(723\) | 0.0229544 | + | 0.0102200i | 0.000853684 | + | 0.000380084i | ||||
\(724\) | −40.8233 | + | 70.7080i | −1.51718 | + | 2.62784i | ||||
\(725\) | −6.99030 | + | 4.00915i | −0.259613 | + | 0.148896i | ||||
\(726\) | −11.7966 | − | 20.4323i | −0.437812 | − | 0.758313i | ||||
\(727\) | −11.5742 | + | 8.40916i | −0.429264 | + | 0.311879i | −0.781355 | − | 0.624087i | \(-0.785471\pi\) |
0.352091 | + | 0.935966i | \(0.385471\pi\) | |||||||
\(728\) | 41.8949 | + | 12.3726i | 1.55273 | + | 0.458558i | ||||
\(729\) | 1.29811 | − | 3.99518i | 0.0480782 | − | 0.147969i | ||||
\(730\) | 7.14733 | − | 8.80037i | 0.264535 | − | 0.325716i | ||||
\(731\) | −0.883772 | − | 0.187852i | −0.0326875 | − | 0.00694794i | ||||
\(732\) | 74.7094 | − | 129.400i | 2.76134 | − | 4.78278i | ||||
\(733\) | 5.56399 | − | 6.17944i | 0.205511 | − | 0.228243i | −0.631575 | − | 0.775315i | \(-0.717591\pi\) |
0.837085 | + | 0.547072i | \(0.184258\pi\) | |||||||
\(734\) | −11.2626 | − | 8.18276i | −0.415710 | − | 0.302031i | ||||
\(735\) | −19.9686 | − | 44.8260i | −0.736551 | − | 1.65343i | ||||
\(736\) | 6.67469 | − | 4.84945i | 0.246032 | − | 0.178753i | ||||
\(737\) | −2.47489 | + | 23.5470i | −0.0911638 | + | 0.867365i | ||||
\(738\) | 51.5480 | − | 22.9507i | 1.89751 | − | 0.844826i | ||||
\(739\) | 3.44497 | + | 32.7767i | 0.126725 | + | 1.20571i | 0.854336 | + | 0.519721i | \(0.173964\pi\) |
−0.727611 | + | 0.685990i | \(0.759369\pi\) | |||||||
\(740\) | 55.9416 | − | 14.9035i | 2.05645 | − | 0.547864i | ||||
\(741\) | −31.3878 | − | 22.8046i | −1.15306 | − | 0.837747i | ||||
\(742\) | 56.6080 | − | 20.0980i | 2.07815 | − | 0.737823i | ||||
\(743\) | 21.9364 | 0.804770 | 0.402385 | − | 0.915471i | \(-0.368181\pi\) | ||||
0.402385 | + | 0.915471i | \(0.368181\pi\) | |||||||
\(744\) | 14.6998 | − | 16.3258i | 0.538921 | − | 0.598533i | ||||
\(745\) | 6.39568 | + | 40.7592i | 0.234320 | + | 1.49330i | ||||
\(746\) | −8.49732 | − | 9.43723i | −0.311109 | − | 0.345522i | ||||
\(747\) | −3.91516 | + | 0.832193i | −0.143248 | + | 0.0304484i | ||||
\(748\) | −6.02467 | + | 4.37718i | −0.220284 | + | 0.160046i | ||||
\(749\) | 3.67843 | − | 2.25829i | 0.134407 | − | 0.0825159i | ||||
\(750\) | 58.8941 | − | 58.3893i | 2.15051 | − | 2.13208i | ||||
\(751\) | 3.88645 | + | 6.73153i | 0.141819 | + | 0.245637i | 0.928182 | − | 0.372128i | \(-0.121372\pi\) |
−0.786363 | + | 0.617765i | \(0.788038\pi\) | |||||||
\(752\) | −0.0674983 | − | 0.642203i | −0.00246141 | − | 0.0234187i | ||||
\(753\) | −25.2631 | − | 28.0575i | −0.920637 | − | 1.02247i | ||||
\(754\) | −16.2885 | + | 3.46223i | −0.593193 | + | 0.126087i | ||||
\(755\) | 22.4650 | − | 18.1385i | 0.817586 | − | 0.660128i | ||||
\(756\) | −20.7331 | + | 112.378i | −0.754055 | + | 4.08716i | ||||
\(757\) | 5.87702 | 0.213604 | 0.106802 | − | 0.994280i | \(-0.465939\pi\) | ||||
0.106802 | + | 0.994280i | \(0.465939\pi\) | |||||||
\(758\) | 44.6270 | − | 49.5633i | 1.62092 | − | 1.80022i | ||||
\(759\) | 19.3072 | − | 8.59612i | 0.700807 | − | 0.312019i | ||||
\(760\) | −16.9159 | − | 16.9645i | −0.613605 | − | 0.615369i | ||||
\(761\) | 22.8544 | + | 10.1754i | 0.828470 | + | 0.368859i | 0.776755 | − | 0.629803i | \(-0.216865\pi\) |
0.0517153 | + | 0.998662i | \(0.483531\pi\) | |||||||
\(762\) | 77.2793 | + | 56.1467i | 2.79953 | + | 2.03398i | ||||
\(763\) | 2.80496 | + | 5.86837i | 0.101546 | + | 0.212449i | ||||
\(764\) | 65.2029 | − | 47.3727i | 2.35896 | − | 1.71388i | ||||
\(765\) | −7.12551 | + | 8.77350i | −0.257623 | + | 0.317206i | ||||
\(766\) | 24.6004 | − | 10.9528i | 0.888848 | − | 0.395740i | ||||
\(767\) | −26.9250 | − | 5.72308i | −0.972204 | − | 0.206648i | ||||
\(768\) | 40.0176 | + | 69.3124i | 1.44401 | + | 2.50110i | ||||
\(769\) | 14.3605 | + | 44.1970i | 0.517852 | + | 1.59378i | 0.778033 | + | 0.628224i | \(0.216218\pi\) |
−0.260181 | + | 0.965560i | \(0.583782\pi\) | |||||||
\(770\) | −31.0381 | − | 23.8469i | −1.11854 | − | 0.859381i | ||||
\(771\) | −10.0287 | + | 30.8651i | −0.361174 | + | 1.11158i | ||||
\(772\) | 43.3753 | − | 9.21970i | 1.56111 | − | 0.331824i | ||||
\(773\) | −0.240825 | − | 2.29130i | −0.00866188 | − | 0.0824123i | 0.989337 | − | 0.145645i | \(-0.0465257\pi\) |
−0.997999 | + | 0.0632326i | \(0.979859\pi\) | |||||||
\(774\) | −9.86162 | + | 17.0808i | −0.354468 | + | 0.613957i | ||||
\(775\) | 5.42535 | + | 7.51260i | 0.194884 | + | 0.269861i | ||||
\(776\) | −9.77536 | −0.350915 | ||||||||
\(777\) | −36.3743 | − | 47.3238i | −1.30492 | − | 1.69773i | ||||
\(778\) | 23.3847 | − | 71.9707i | 0.838382 | − | 2.58028i | ||||
\(779\) | 9.68002 | − | 2.05755i | 0.346823 | − | 0.0737194i | ||||
\(780\) | 98.2155 | − | 49.8659i | 3.51668 | − | 1.78549i | ||||
\(781\) | 33.9570 | + | 7.21777i | 1.21508 | + | 0.258272i | ||||
\(782\) | 2.11089 | + | 3.65617i | 0.0754853 | + | 0.130744i | ||||
\(783\) | −5.97866 | − | 18.4004i | −0.213660 | − | 0.657577i | ||||
\(784\) | 0.620930 | − | 12.2306i | 0.0221761 | − | 0.436808i | ||||
\(785\) | −27.7695 | + | 22.4214i | −0.991134 | + | 0.800253i | ||||
\(786\) | −5.62714 | − | 2.50536i | −0.200713 | − | 0.0893634i | ||||
\(787\) | 45.4088 | − | 20.2173i | 1.61865 | − | 0.720669i | 0.620661 | − | 0.784079i | \(-0.286864\pi\) |
0.997988 | + | 0.0634097i | \(0.0201975\pi\) | |||||||
\(788\) | −68.0941 | + | 30.3175i | −2.42575 | + | 1.08001i | ||||
\(789\) | −55.4216 | − | 24.6753i | −1.97306 | − | 0.878464i | ||||
\(790\) | 16.5647 | + | 10.7910i | 0.589344 | + | 0.383928i | ||||
\(791\) | −3.37447 | + | 4.91849i | −0.119982 | + | 0.174881i | ||||
\(792\) | 22.3107 | + | 68.6651i | 0.792775 | + | 2.43991i | ||||
\(793\) | 28.9231 | + | 50.0964i | 1.02709 | + | 1.77897i | ||||
\(794\) | −73.9336 | − | 15.7151i | −2.62381 | − | 0.557707i | ||||
\(795\) | 30.6267 | − | 59.8957i | 1.08622 | − | 2.12428i | ||||
\(796\) | −16.2933 | + | 3.46324i | −0.577500 | + | 0.122751i | ||||
\(797\) | −0.467767 | + | 1.43964i | −0.0165692 | + | 0.0509946i | −0.958999 | − | 0.283409i | \(-0.908535\pi\) |
0.942430 | + | 0.334403i | \(0.108535\pi\) | |||||||
\(798\) | −21.2405 | + | 51.3980i | −0.751907 | + | 1.81947i | ||||
\(799\) | −0.273200 | −0.00966511 | ||||||||
\(800\) | −16.2894 | + | 5.24111i | −0.575917 | + | 0.185301i | ||||
\(801\) | 42.4999 | − | 73.6121i | 1.50166 | − | 2.60095i | ||||
\(802\) | 8.10462 | + | 77.1103i | 0.286184 | + | 2.72286i | ||||
\(803\) | −5.86129 | + | 1.24586i | −0.206840 | + | 0.0439653i | ||||
\(804\) | −29.5143 | + | 90.8356i | −1.04089 | + | 3.20352i | ||||
\(805\) | −9.82374 | + | 10.3393i | −0.346241 | + | 0.364412i | ||||
\(806\) | 5.91755 | + | 18.2123i | 0.208437 | + | 0.641502i | ||||
\(807\) | −0.339577 | − | 0.588165i | −0.0119537 | − | 0.0207044i | ||||
\(808\) | 31.1077 | + | 6.61215i | 1.09437 | + | 0.232615i | ||||
\(809\) | 22.2515 | − | 9.90700i | 0.782321 | − | 0.348312i | 0.0235948 | − | 0.999722i | \(-0.492489\pi\) |
0.758726 | + | 0.651410i | \(0.225822\pi\) | |||||||
\(810\) | 49.3031 | + | 76.1591i | 1.73233 | + | 2.67596i | ||||
\(811\) | −25.5379 | + | 18.5544i | −0.896756 | + | 0.651532i | −0.937631 | − | 0.347633i | \(-0.886986\pi\) |
0.0408744 | + | 0.999164i | \(0.486986\pi\) | |||||||
\(812\) | 6.61627 | + | 13.8422i | 0.232186 | + | 0.485765i | ||||
\(813\) | 63.2921 | + | 45.9844i | 2.21975 | + | 1.61274i | ||||
\(814\) | −43.4923 | − | 19.3640i | −1.52440 | − | 0.678709i | ||||
\(815\) | −10.4347 | + | 20.4067i | −0.365510 | + | 0.714817i | ||||
\(816\) | −3.70874 | + | 1.65124i | −0.129832 | + | 0.0578049i | ||||
\(817\) | −2.31462 | + | 2.57064i | −0.0809782 | + | 0.0899353i | ||||
\(818\) | −42.9459 | −1.50157 | ||||||||
\(819\) | −60.0399 | − | 51.1941i | −2.09796 | − | 1.78887i | ||||
\(820\) | −7.31082 | + | 27.1286i | −0.255305 | + | 0.947372i | ||||
\(821\) | 41.3905 | − | 8.79781i | 1.44454 | − | 0.307046i | 0.582061 | − | 0.813145i | \(-0.302246\pi\) |
0.862475 | + | 0.506099i | \(0.168913\pi\) | |||||||
\(822\) | 66.0529 | + | 73.3592i | 2.30386 | + | 2.55870i | ||||
\(823\) | −3.77262 | − | 35.8941i | −0.131505 | − | 1.25119i | −0.838866 | − | 0.544338i | \(-0.816781\pi\) |
0.707361 | − | 0.706853i | \(-0.249886\pi\) | |||||||
\(824\) | −36.6716 | − | 63.5170i | −1.27751 | − | 2.21272i | ||||
\(825\) | −43.6068 | + | 4.45678i | −1.51819 | + | 0.155165i | ||||
\(826\) | 1.06513 | + | 39.4433i | 0.0370604 | + | 1.37241i | ||||
\(827\) | 2.42533 | − | 1.76211i | 0.0843370 | − | 0.0612744i | −0.544818 | − | 0.838554i | \(-0.683401\pi\) |
0.629155 | + | 0.777280i | \(0.283401\pi\) | |||||||
\(828\) | 57.9388 | − | 12.3153i | 2.01351 | − | 0.427986i | ||||
\(829\) | 24.0633 | + | 26.7250i | 0.835751 | + | 0.928196i | 0.998287 | − | 0.0585067i | \(-0.0186339\pi\) |
−0.162536 | + | 0.986703i | \(0.551967\pi\) | |||||||
\(830\) | 1.41174 | − | 2.76090i | 0.0490022 | − | 0.0958321i | ||||
\(831\) | 18.0095 | − | 20.0015i | 0.624742 | − | 0.693846i | ||||
\(832\) | −50.6410 | −1.75566 | ||||||||
\(833\) | −5.11872 | − | 0.802150i | −0.177353 | − | 0.0277928i | ||||
\(834\) | −36.5459 | − | 26.5522i | −1.26548 | − | 0.919427i | ||||
\(835\) | −2.36572 | + | 43.9344i | −0.0818691 | + | 1.52041i | ||||
\(836\) | 2.98018 | + | 28.3545i | 0.103072 | + | 0.980661i | ||||
\(837\) | −20.3251 | + | 9.04933i | −0.702539 | + | 0.312791i | ||||
\(838\) | −1.55397 | + | 14.7850i | −0.0536810 | + | 0.510741i | ||||
\(839\) | 14.8373 | − | 10.7799i | 0.512240 | − | 0.372164i | −0.301433 | − | 0.953487i | \(-0.597465\pi\) |
0.813673 | + | 0.581323i | \(0.197465\pi\) | |||||||
\(840\) | −45.5099 | − | 53.3519i | −1.57024 | − | 1.84081i | ||||
\(841\) | 21.3601 | + | 15.5190i | 0.736554 | + | 0.535138i | ||||
\(842\) | 18.0031 | − | 19.9945i | 0.620428 | − | 0.689056i | ||||
\(843\) | 26.8322 | − | 46.4748i | 0.924151 | − | 1.60068i | ||||
\(844\) | −30.6190 | − | 6.50828i | −1.05395 | − | 0.224024i | ||||
\(845\) | −0.729889 | + | 13.5550i | −0.0251089 | + | 0.466305i | ||||
\(846\) | −1.84291 | + | 5.67191i | −0.0633607 | + | 0.195004i | ||||
\(847\) | −1.97118 | − | 8.18108i | −0.0677305 | − | 0.281105i | ||||
\(848\) | 13.5819 | − | 9.86781i | 0.466404 | − | 0.338862i | ||||
\(849\) | 1.11728 | + | 1.93518i | 0.0383448 | + | 0.0664151i | ||||
\(850\) | −1.79594 | − | 8.57008i | −0.0616002 | − | 0.293951i | ||||
\(851\) | −8.67361 | + | 15.0231i | −0.297327 | + | 0.514986i | ||||
\(852\) | 127.933 | + | 56.9594i | 4.38291 | + | 1.95140i | ||||
\(853\) | −7.88661 | + | 24.2725i | −0.270032 | + | 0.831074i | 0.720459 | + | 0.693498i | \(0.243931\pi\) |
−0.990491 | + | 0.137576i | \(0.956069\pi\) | |||||||
\(854\) | 60.1009 | − | 57.1271i | 2.05661 | − | 1.95485i | ||||
\(855\) | 15.4493 | + | 40.4202i | 0.528357 | + | 1.38234i | ||||
\(856\) | 4.12727 | − | 4.58380i | 0.141067 | − | 0.156671i | ||||
\(857\) | 13.9584 | − | 24.1766i | 0.476809 | − | 0.825857i | −0.522838 | − | 0.852432i | \(-0.675127\pi\) |
0.999647 | + | 0.0265751i | \(0.00846011\pi\) | |||||||
\(858\) | −88.6022 | − | 18.8330i | −3.02483 | − | 0.642947i | ||||
\(859\) | −0.891747 | + | 8.48441i | −0.0304260 | + | 0.289484i | 0.968720 | + | 0.248158i | \(0.0798251\pi\) |
−0.999146 | + | 0.0413266i | \(0.986842\pi\) | |||||||
\(860\) | −3.50630 | − | 9.17355i | −0.119564 | − | 0.312816i | ||||
\(861\) | 28.7166 | − | 3.80450i | 0.978661 | − | 0.129657i | ||||
\(862\) | 8.27481 | + | 6.01200i | 0.281841 | + | 0.204770i | ||||
\(863\) | 2.44680 | − | 23.2797i | 0.0832899 | − | 0.792451i | −0.870539 | − | 0.492100i | \(-0.836230\pi\) |
0.953829 | − | 0.300351i | \(-0.0971038\pi\) | |||||||
\(864\) | −4.29441 | − | 40.8585i | −0.146099 | − | 1.39004i | ||||
\(865\) | −16.1184 | − | 16.1647i | −0.548043 | − | 0.549618i | ||||
\(866\) | 5.97687 | − | 56.8662i | 0.203102 | − | 1.93239i | ||||
\(867\) | −15.9390 | − | 49.0551i | −0.541316 | − | 1.66600i | ||||
\(868\) | 15.0354 | − | 9.23063i | 0.510335 | − | 0.313308i | ||||
\(869\) | −3.22897 | − | 9.93774i | −0.109535 | − | 0.337115i | ||||
\(870\) | 24.9428 | + | 9.61574i | 0.845641 | + | 0.326004i | ||||
\(871\) | −24.7418 | − | 27.4785i | −0.838343 | − | 0.931074i | ||||
\(872\) | 6.21937 | + | 6.90731i | 0.210614 | + | 0.233911i | ||||
\(873\) | 16.1300 | + | 7.18156i | 0.545919 | + | 0.243059i | ||||
\(874\) | 16.1632 | 0.546729 | ||||||||
\(875\) | 26.0448 | − | 14.0238i | 0.880476 | − | 0.474092i | ||||
\(876\) | −24.1722 | −0.816704 | ||||||||
\(877\) | −26.8100 | − | 11.9366i | −0.905309 | − | 0.403069i | −0.0993578 | − | 0.995052i | \(-0.531679\pi\) |
−0.805951 | + | 0.591982i | \(0.798346\pi\) | |||||||
\(878\) | −27.9708 | − | 31.0647i | −0.943967 | − | 1.04838i | ||||
\(879\) | −28.8431 | − | 32.0335i | −0.972854 | − | 1.08046i | ||||
\(880\) | −10.2069 | − | 3.93486i | −0.344073 | − | 0.132644i | ||||
\(881\) | −9.25794 | − | 28.4930i | −0.311908 | − | 0.959954i | −0.977009 | − | 0.213200i | \(-0.931611\pi\) |
0.665101 | − | 0.746754i | \(-0.268389\pi\) | |||||||
\(882\) | −51.1826 | + | 100.859i | −1.72341 | + | 3.39610i | ||||
\(883\) | 1.11532 | + | 3.43261i | 0.0375336 | + | 0.115517i | 0.968068 | − | 0.250688i | \(-0.0806569\pi\) |
−0.930534 | + | 0.366205i | \(0.880657\pi\) | |||||||
\(884\) | 1.21565 | − | 11.5661i | 0.0408867 | − | 0.389011i | ||||
\(885\) | 31.2010 | + | 31.2906i | 1.04881 | + | 1.05182i | ||||
\(886\) | 2.18600 | + | 20.7984i | 0.0734401 | + | 0.698736i | ||||
\(887\) | −3.93686 | + | 37.4567i | −0.132187 | + | 1.25767i | 0.704386 | + | 0.709817i | \(0.251223\pi\) |
−0.836573 | + | 0.547856i | \(0.815444\pi\) | |||||||
\(888\) | −69.0049 | − | 50.1350i | −2.31565 | − | 1.68242i | ||||
\(889\) | 20.7631 | + | 27.0133i | 0.696373 | + | 0.905997i | ||||
\(890\) | 23.5105 | + | 61.5107i | 0.788075 | + | 2.06184i | ||||
\(891\) | 5.01240 | − | 47.6898i | 0.167922 | − | 1.59767i | ||||
\(892\) | −54.3025 | − | 11.5423i | −1.81818 | − | 0.386466i | ||||
\(893\) | −0.522977 | + | 0.905823i | −0.0175008 | + | 0.0303122i | ||||
\(894\) | 91.5806 | − | 101.711i | 3.06292 | − | 3.40171i | ||||
\(895\) | −5.33179 | − | 13.9496i | −0.178222 | − | 0.466283i | ||||
\(896\) | 12.7618 | + | 52.9659i | 0.426341 | + | 1.76947i | ||||
\(897\) | −10.1993 | + | 31.3902i | −0.340544 | + | 1.04809i | ||||
\(898\) | 47.1459 | + | 20.9907i | 1.57328 | + | 0.700470i | ||||
\(899\) | −1.49351 | + | 2.58683i | −0.0498113 | + | 0.0862757i | ||||
\(900\) | −122.143 | − | 13.1922i | −4.07143 | − | 0.439741i | ||||
\(901\) | −3.55136 | − | 6.15114i | −0.118313 | − | 0.204924i | ||||
\(902\) | 18.6925 | − | 13.5809i | 0.622391 | − | 0.452193i | ||||
\(903\) | −7.33894 | + | 6.97580i | −0.244225 | + | 0.232140i | ||||
\(904\) | −2.63399 | + | 8.10658i | −0.0876051 | + | 0.269621i | ||||
\(905\) | −2.72831 | + | 50.6682i | −0.0906921 | + | 1.68427i | ||||
\(906\) | −93.6894 | − | 19.9143i | −3.11262 | − | 0.661608i | ||||
\(907\) | 18.4746 | − | 31.9990i | 0.613441 | − | 1.06251i | −0.377215 | − | 0.926126i | \(-0.623118\pi\) |
0.990656 | − | 0.136385i | \(-0.0435484\pi\) | |||||||
\(908\) | −14.2514 | + | 15.8278i | −0.472950 | + | 0.525265i | ||||
\(909\) | −46.4723 | − | 33.7641i | −1.54139 | − | 1.11989i | ||||
\(910\) | 60.1103 | − | 11.1024i | 1.99264 | − | 0.368041i | ||||
\(911\) | −17.2892 | + | 12.5613i | −0.572817 | + | 0.416176i | −0.836127 | − | 0.548535i | \(-0.815186\pi\) |
0.263310 | + | 0.964711i | \(0.415186\pi\) | |||||||
\(912\) | −1.62466 | + | 15.4576i | −0.0537980 | + | 0.511853i | ||||
\(913\) | −1.49728 | + | 0.666631i | −0.0495527 | + | 0.0220623i | ||||
\(914\) | −3.07157 | − | 29.2241i | −0.101599 | − | 0.966646i | ||||
\(915\) | 4.99300 | − | 92.7264i | 0.165063 | − | 3.06544i | ||||
\(916\) | −63.2687 | − | 45.9674i | −2.09046 | − | 1.51881i | ||||
\(917\) | −1.67180 | − | 1.42549i | −0.0552077 | − | 0.0470738i | ||||
\(918\) | 21.0228 | 0.693856 | ||||||||
\(919\) | −3.50052 | + | 3.88772i | −0.115471 | + | 0.128244i | −0.798109 | − | 0.602513i | \(-0.794166\pi\) |
0.682638 | + | 0.730757i | \(0.260833\pi\) | |||||||
\(920\) | −9.27869 | + | 18.1461i | −0.305910 | + | 0.598258i | ||||
\(921\) | 34.3895 | + | 38.1935i | 1.13317 | + | 1.25852i | ||||
\(922\) | −56.4329 | + | 11.9952i | −1.85852 | + | 0.395040i | ||||
\(923\) | −43.8612 | + | 31.8670i | −1.44371 | + | 1.04892i | ||||
\(924\) | 2.25277 | + | 83.4237i | 0.0741107 | + | 2.74444i | ||||
\(925\) | 26.8067 | − | 23.9980i | 0.881400 | − | 0.789048i | ||||
\(926\) | 38.6423 | + | 66.9304i | 1.26986 | + | 2.19947i | ||||
\(927\) | 13.8474 | + | 131.749i | 0.454807 | + | 4.32720i | ||||
\(928\) | −3.69075 | − | 4.09899i | −0.121155 | − | 0.134556i | ||||
\(929\) | −10.6998 | + | 2.27432i | −0.351050 | + | 0.0746179i | −0.380062 | − | 0.924961i | \(-0.624097\pi\) |
0.0290121 | + | 0.999579i | \(0.490764\pi\) | |||||||
\(930\) | 7.99891 | − | 29.6819i | 0.262295 | − | 0.973308i | ||||
\(931\) | −12.4582 | + | 15.4361i | −0.408301 | + | 0.505899i | ||||
\(932\) | 14.7304 | 0.482512 | ||||||||
\(933\) | −72.1267 | + | 80.1048i | −2.36132 | + | 2.62251i | ||||
\(934\) | 47.0813 | − | 20.9619i | 1.54055 | − | 0.685895i | ||||
\(935\) | −2.10703 | + | 4.12064i | −0.0689071 | + | 0.134759i | ||||
\(936\) | −103.005 | − | 45.8608i | −3.36683 | − | 1.49901i | ||||
\(937\) | −7.87367 | − | 5.72056i | −0.257222 | − | 0.186882i | 0.451700 | − | 0.892170i | \(-0.350818\pi\) |
−0.708921 | + | 0.705288i | \(0.750818\pi\) | |||||||
\(938\) | −29.9855 | + | 43.7057i | −0.979062 | + | 1.42704i | ||||
\(939\) | −63.9108 | + | 46.4339i | −2.08565 | + | 1.51531i | ||||
\(940\) | −1.61376 | − | 2.49280i | −0.0526351 | − | 0.0813061i | ||||
\(941\) | −28.3793 | + | 12.6353i | −0.925138 | + | 0.411898i | −0.813311 | − | 0.581830i | \(-0.802337\pi\) |
−0.111827 | + | 0.993728i | \(0.535670\pi\) | |||||||
\(942\) | 115.811 | + | 24.6165i | 3.77334 | + | 0.802048i | ||||
\(943\) | −4.20946 | − | 7.29100i | −0.137079 | − | 0.237427i | ||||
\(944\) | 3.40768 | + | 10.4878i | 0.110911 | + | 0.341348i | ||||
\(945\) | 20.1286 | + | 68.1073i | 0.654782 | + | 2.21553i | ||||
\(946\) | −2.49567 | + | 7.68088i | −0.0811412 | + | 0.249727i | ||||
\(947\) | −28.4336 | + | 6.04376i | −0.923969 | + | 0.196396i | −0.645245 | − | 0.763976i | \(-0.723245\pi\) |
−0.278724 | + | 0.960371i | \(0.589911\pi\) | |||||||
\(948\) | −4.40599 | − | 41.9202i | −0.143100 | − | 1.36151i | ||||
\(949\) | 4.67904 | − | 8.10434i | 0.151888 | − | 0.263078i | ||||
\(950\) | −31.8529 | − | 10.4508i | −1.03344 | − | 0.339068i | ||||
\(951\) | 29.8913 | 0.969292 | ||||||||
\(952\) | −7.33987 | + | 0.972417i | −0.237887 | + | 0.0315162i | ||||
\(953\) | 4.96291 | − | 15.2743i | 0.160764 | − | 0.494782i | −0.837935 | − | 0.545770i | \(-0.816237\pi\) |
0.998699 | + | 0.0509884i | \(0.0162371\pi\) | |||||||
\(954\) | −151.660 | + | 32.2364i | −4.91018 | + | 1.04369i | ||||
\(955\) | 22.8036 | − | 44.5963i | 0.737908 | − | 1.44310i | ||||
\(956\) | 35.4651 | + | 7.53834i | 1.14702 | + | 0.243807i | ||||
\(957\) | −7.06462 | − | 12.2363i | −0.228367 | − | 0.395543i | ||||
\(958\) | −6.24102 | − | 19.2079i | −0.201638 | − | 0.620579i | ||||
\(959\) | 15.1840 | + | 31.7671i | 0.490318 | + | 1.02581i | ||||
\(960\) | 68.1153 | + | 44.3737i | 2.19841 | + | 1.43215i | ||||
\(961\) | −25.1819 | − | 11.2117i | −0.812320 | − | 0.361668i | ||||
\(962\) | 67.9221 | − | 30.2409i | 2.18990 | − | 0.975004i | ||||
\(963\) | −10.1778 | + | 4.53146i | −0.327976 | + | 0.146024i | ||||
\(964\) | 0.0263432 | + | 0.0117288i | 0.000848459 | + | 0.000377758i | ||||
\(965\) | 21.4423 | − | 17.3127i | 0.690252 | − | 0.557317i | ||||
\(966\) | 47.1688 | + | 3.67347i | 1.51763 | + | 0.118192i | ||||
\(967\) | 1.47364 | + | 4.53540i | 0.0473891 | + | 0.145849i | 0.971951 | − | 0.235183i | \(-0.0755689\pi\) |
−0.924562 | + | 0.381032i | \(0.875569\pi\) | |||||||
\(968\) | −6.01272 | − | 10.4143i | −0.193256 | − | 0.334730i | ||||
\(969\) | 6.43214 | + | 1.36719i | 0.206630 | + | 0.0439206i | ||||
\(970\) | −12.1968 | + | 6.19254i | −0.391615 | + | 0.198831i | ||||
\(971\) | 1.64277 | − | 0.349181i | 0.0527190 | − | 0.0112058i | −0.181477 | − | 0.983395i | \(-0.558088\pi\) |
0.234196 | + | 0.972189i | \(0.424754\pi\) | |||||||
\(972\) | 19.7343 | − | 60.7359i | 0.632978 | − | 1.94810i | ||||
\(973\) | −9.81904 | − | 12.7748i | −0.314784 | − | 0.409541i | ||||
\(974\) | −55.8538 | −1.78967 | ||||||||
\(975\) | 40.3960 | − | 55.2661i | 1.29371 | − | 1.76993i | ||||
\(976\) | 11.5870 | − | 20.0693i | 0.370891 | − | 0.642402i | ||||
\(977\) | −5.03961 | − | 47.9487i | −0.161231 | − | 1.53401i | −0.713683 | − | 0.700469i | \(-0.752974\pi\) |
0.552451 | − | 0.833545i | \(-0.313692\pi\) | |||||||
\(978\) | 74.3706 | − | 15.8080i | 2.37811 | − | 0.505483i | ||||
\(979\) | 10.7554 | − | 33.1018i | 0.343745 | − | 1.05794i | ||||
\(980\) | −22.9166 | − | 51.4438i | −0.732043 | − | 1.64331i | ||||
\(981\) | −5.18789 | − | 15.9667i | −0.165636 | − | 0.509777i | ||||
\(982\) | −40.2607 | − | 69.7336i | −1.28477 | − | 2.22529i | ||||
\(983\) | −28.9154 | − | 6.14616i | −0.922259 | − | 0.196032i | −0.277771 | − | 0.960647i | \(-0.589596\pi\) |
−0.644487 | + | 0.764615i | \(0.722929\pi\) | |||||||
\(984\) | 37.8163 | − | 16.8369i | 1.20554 | − | 0.536741i | ||||
\(985\) | −29.2043 | + | 35.9586i | −0.930525 | + | 1.14574i | ||||
\(986\) | 2.28341 | − | 1.65899i | 0.0727184 | − | 0.0528330i | ||||
\(987\) | −1.73206 | + | 2.52459i | −0.0551322 | + | 0.0803585i | ||||
\(988\) | −36.0217 | − | 26.1713i | −1.14600 | − | 0.832619i | ||||
\(989\) | 2.68833 | + | 1.19692i | 0.0854839 | + | 0.0380599i | ||||
\(990\) | 71.3355 | + | 71.5405i | 2.26719 | + | 2.27371i | ||||
\(991\) | −39.5056 | + | 17.5890i | −1.25494 | + | 0.558734i | −0.923085 | − | 0.384597i | \(-0.874340\pi\) |
−0.331853 | + | 0.943331i | \(0.607674\pi\) | |||||||
\(992\) | −4.24420 | + | 4.71366i | −0.134754 | + | 0.149659i | ||||
\(993\) | 83.3607 | 2.64537 | ||||||||
\(994\) | 59.1360 | + | 50.4234i | 1.87568 | + | 1.59933i | ||||
\(995\) | −8.05448 | + | 6.50327i | −0.255344 | + | 0.206168i | ||||
\(996\) | −6.46703 | + | 1.37461i | −0.204916 | + | 0.0435562i | ||||
\(997\) | −2.59791 | − | 2.88527i | −0.0822766 | − | 0.0913774i | 0.700601 | − | 0.713554i | \(-0.252915\pi\) |
−0.782877 | + | 0.622176i | \(0.786249\pi\) | |||||||
\(998\) | 6.69753 | + | 63.7227i | 0.212006 | + | 2.01711i | ||||
\(999\) | 43.1911 | + | 74.8092i | 1.36651 | + | 2.36686i |
(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 | 175.2.q.a.11.3 | ✓ | 144 | |
5.2 | odd | 4 | 875.2.u.b.74.32 | 288 | |||
5.3 | odd | 4 | 875.2.u.b.74.5 | 288 | |||
5.4 | even | 2 | 875.2.q.a.676.16 | 144 | |||
7.2 | even | 3 | inner | 175.2.q.a.86.16 | yes | 144 | |
25.9 | even | 10 | 875.2.q.a.326.3 | 144 | |||
25.12 | odd | 20 | 875.2.u.b.424.32 | 288 | |||
25.13 | odd | 20 | 875.2.u.b.424.5 | 288 | |||
25.16 | even | 5 | inner | 175.2.q.a.116.16 | yes | 144 | |
35.2 | odd | 12 | 875.2.u.b.324.5 | 288 | |||
35.9 | even | 6 | 875.2.q.a.51.3 | 144 | |||
35.23 | odd | 12 | 875.2.u.b.324.32 | 288 | |||
175.9 | even | 30 | 875.2.q.a.576.16 | 144 | |||
175.16 | even | 15 | inner | 175.2.q.a.16.3 | yes | 144 | |
175.37 | odd | 60 | 875.2.u.b.674.5 | 288 | |||
175.163 | odd | 60 | 875.2.u.b.674.32 | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.q.a.11.3 | ✓ | 144 | 1.1 | even | 1 | trivial | |
175.2.q.a.16.3 | yes | 144 | 175.16 | even | 15 | inner | |
175.2.q.a.86.16 | yes | 144 | 7.2 | even | 3 | inner | |
175.2.q.a.116.16 | yes | 144 | 25.16 | even | 5 | inner | |
875.2.q.a.51.3 | 144 | 35.9 | even | 6 | |||
875.2.q.a.326.3 | 144 | 25.9 | even | 10 | |||
875.2.q.a.576.16 | 144 | 175.9 | even | 30 | |||
875.2.q.a.676.16 | 144 | 5.4 | even | 2 | |||
875.2.u.b.74.5 | 288 | 5.3 | odd | 4 | |||
875.2.u.b.74.32 | 288 | 5.2 | odd | 4 | |||
875.2.u.b.324.5 | 288 | 35.2 | odd | 12 | |||
875.2.u.b.324.32 | 288 | 35.23 | odd | 12 | |||
875.2.u.b.424.5 | 288 | 25.13 | odd | 20 | |||
875.2.u.b.424.32 | 288 | 25.12 | odd | 20 | |||
875.2.u.b.674.5 | 288 | 175.37 | odd | 60 | |||
875.2.u.b.674.32 | 288 | 175.163 | odd | 60 |