Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [572,2,Mod(9,572)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(572, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 18, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("572.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 572 = 2^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 572.bg (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: | \(4.56744299562\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 9.1 | ||
Character | \(\chi\) | \(=\) | 572.9 |
Dual form | 572.2.bg.a.445.1 |
$q$-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 \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(353\) | \(365\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.351299 | − | 3.34239i | −0.202822 | − | 1.92973i | −0.342476 | − | 0.939527i | \(-0.611266\pi\) |
0.139654 | − | 0.990200i | \(-0.455401\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.419191 | − | 1.29014i | −0.187468 | − | 0.576968i | 0.812514 | − | 0.582942i | \(-0.198098\pi\) |
−0.999982 | + | 0.00597408i | \(0.998098\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.149591 | + | 1.42326i | −0.0565401 | + | 0.537944i | 0.929189 | + | 0.369605i | \(0.120507\pi\) |
−0.985729 | + | 0.168339i | \(0.946160\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −8.11369 | + | 1.72462i | −2.70456 | + | 0.574872i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.28148 | + | 2.40725i | −0.687892 | + | 0.725813i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.35779 | + | 1.31349i | −0.931283 | + | 0.364297i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −4.16488 | + | 1.85432i | −1.07537 | + | 0.478784i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 4.18885 | − | 4.65218i | 1.01594 | − | 1.12832i | 0.0242496 | − | 0.999706i | \(-0.492280\pi\) |
0.991695 | − | 0.128614i | \(-0.0410530\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.90405 | − | 2.18342i | −1.12507 | − | 0.500912i | −0.242054 | − | 0.970263i | \(-0.577821\pi\) |
−0.883012 | + | 0.469351i | \(0.844488\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.80965 | 1.04955 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.44211 | + | 4.22986i | −0.509215 | + | 0.881986i | 0.490728 | + | 0.871313i | \(0.336731\pi\) |
−0.999943 | + | 0.0106732i | \(0.996603\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.55635 | − | 1.85730i | 0.511270 | − | 0.371459i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.49903 | + | 16.9243i | 1.05829 | + | 3.25708i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.15520 | − | 0.514327i | 0.214515 | − | 0.0955080i | −0.296666 | − | 0.954981i | \(-0.595875\pi\) |
0.511181 | + | 0.859473i | \(0.329208\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.62985 | − | 8.09386i | 0.472336 | − | 1.45370i | −0.377182 | − | 0.926139i | \(-0.623107\pi\) |
0.849517 | − | 0.527560i | \(-0.176893\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 8.84743 | + | 6.77992i | 1.54014 | + | 1.18023i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.89892 | − | 0.403627i | 0.320975 | − | 0.0682254i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −6.08999 | + | 2.71144i | −1.00119 | + | 0.445758i | −0.840829 | − | 0.541301i | \(-0.817932\pi\) |
−0.160359 | + | 0.987059i | \(0.551265\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 5.56978 | + | 10.7616i | 0.891879 | + | 1.72323i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.208648 | − | 1.98515i | −0.0325853 | − | 0.310029i | −0.998659 | − | 0.0517634i | \(-0.983516\pi\) |
0.966074 | − | 0.258265i | \(-0.0831508\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −6.24522 | − | 10.8170i | −0.952387 | − | 1.64958i | −0.740236 | − | 0.672347i | \(-0.765286\pi\) |
−0.212151 | − | 0.977237i | \(-0.568047\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 5.62618 | + | 9.74483i | 0.838702 | + | 1.45267i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −7.82041 | + | 5.68186i | −1.14072 | + | 0.828785i | −0.987220 | − | 0.159363i | \(-0.949056\pi\) |
−0.153504 | + | 0.988148i | \(0.549056\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.84373 | + | 1.02957i | 0.691961 | + | 0.147081i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −17.0209 | − | 12.3664i | −2.38341 | − | 1.73165i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.367680 | + | 1.13160i | −0.0505047 | + | 0.155437i | −0.973128 | − | 0.230265i | \(-0.926041\pi\) |
0.922623 | + | 0.385702i | \(0.126041\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 4.06206 | + | 1.93433i | 0.547728 | + | 0.260825i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −5.57505 | + | 17.1583i | −0.738434 | + | 2.27267i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.0435320 | − | 0.414180i | 0.00566739 | − | 0.0539216i | −0.991323 | − | 0.131451i | \(-0.958036\pi\) |
0.996990 | + | 0.0775292i | \(0.0247031\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.63957 | − | 6.26337i | 0.722072 | − | 0.801943i | −0.264652 | − | 0.964344i | \(-0.585257\pi\) |
0.986725 | + | 0.162401i | \(0.0519239\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −1.24085 | − | 11.8059i | −0.156333 | − | 1.48740i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 3.10214 | + | 3.78141i | 0.384773 | + | 0.469026i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.751821 | + | 1.30219i | −0.0918495 | + | 0.159088i | −0.908289 | − | 0.418342i | \(-0.862611\pi\) |
0.816440 | + | 0.577430i | \(0.195945\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 14.9957 | + | 6.67652i | 1.80527 | + | 0.803759i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −6.83820 | + | 7.59459i | −0.811545 | + | 0.901312i | −0.996681 | − | 0.0814010i | \(-0.974061\pi\) |
0.185137 | + | 0.982713i | \(0.440727\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −5.57192 | − | 4.04824i | −0.652144 | − | 0.473810i | 0.211857 | − | 0.977301i | \(-0.432049\pi\) |
−0.864001 | + | 0.503491i | \(0.832049\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −7.10584 | − | 7.89184i | −0.820512 | − | 0.911271i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −3.08486 | − | 3.60725i | −0.351553 | − | 0.411085i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.677064 | − | 2.08379i | 0.0761757 | − | 0.234445i | −0.905717 | − | 0.423883i | \(-0.860667\pi\) |
0.981893 | + | 0.189438i | \(0.0606667\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 31.9022 | − | 14.2038i | 3.54469 | − | 1.57820i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −4.26977 | − | 13.1410i | −0.468668 | − | 1.44241i | −0.854310 | − | 0.519764i | \(-0.826020\pi\) |
0.385641 | − | 0.922649i | \(-0.373980\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −7.75789 | − | 3.45404i | −0.841461 | − | 0.374643i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −2.12490 | − | 3.68043i | −0.227813 | − | 0.394583i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −2.10815 | + | 3.65142i | −0.223463 | + | 0.387050i | −0.955857 | − | 0.293831i | \(-0.905070\pi\) |
0.732394 | + | 0.680881i | \(0.238403\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.36715 | − | 4.97551i | −0.143316 | − | 0.521575i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −27.9767 | − | 5.94662i | −2.90104 | − | 0.616636i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.761183 | + | 7.24217i | −0.0780957 | + | 0.743031i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 8.89672 | − | 1.89106i | 0.903325 | − | 0.192008i | 0.267243 | − | 0.963629i | \(-0.413887\pi\) |
0.636082 | + | 0.771621i | \(0.280554\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 14.3596 | − | 23.4663i | 1.44320 | − | 2.35846i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −3.20633 | − | 3.56099i | −0.319042 | − | 0.354332i | 0.562197 | − | 0.827003i | \(-0.309956\pi\) |
−0.881239 | + | 0.472672i | \(0.843290\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.78111 | + | 4.20022i | 0.569629 | + | 0.413860i | 0.834971 | − | 0.550295i | \(-0.185485\pi\) |
−0.265341 | + | 0.964155i | \(0.585485\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −2.01616 | − | 6.20512i | −0.196758 | − | 0.605557i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −0.0164188 | − | 0.156214i | −0.00158726 | − | 0.0151018i | 0.993700 | − | 0.112076i | \(-0.0357501\pi\) |
−0.995287 | + | 0.0969746i | \(0.969083\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.52625 | −0.146188 | −0.0730941 | − | 0.997325i | \(-0.523287\pi\) | ||||
−0.0730941 | + | 0.997325i | \(0.523287\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 11.2021 | + | 19.4026i | 1.06325 | + | 1.84161i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −2.97952 | − | 1.32657i | −0.280289 | − | 0.124793i | 0.261777 | − | 0.965128i | \(-0.415691\pi\) |
−0.542067 | + | 0.840335i | \(0.682358\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 6.48081 | + | 1.37754i | 0.604339 | + | 0.128456i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 24.9788 | − | 16.4482i | 2.30929 | − | 1.52063i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 5.99468 | + | 6.65776i | 0.549531 | + | 0.610316i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.589693 | − | 10.9842i | −0.0536084 | − | 0.998562i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −6.56184 | + | 1.39476i | −0.591661 | + | 0.125762i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −8.95506 | − | 6.50623i | −0.800965 | − | 0.581935i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −11.1627 | − | 2.37270i | −0.990528 | − | 0.210543i | −0.315973 | − | 0.948768i | \(-0.602331\pi\) |
−0.674555 | + | 0.738225i | \(0.735664\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −33.9608 | + | 24.6740i | −2.99008 | + | 2.17242i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 0.585522 | 0.0511573 | 0.0255786 | − | 0.999673i | \(-0.491857\pi\) | ||||
0.0255786 | + | 0.999673i | \(0.491857\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.84119 | − | 6.65314i | 0.333074 | − | 0.576900i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 19.5295 | − | 14.1890i | 1.68083 | − | 1.22120i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −2.65786 | + | 2.95185i | −0.227076 | + | 0.252193i | −0.845907 | − | 0.533331i | \(-0.820940\pi\) |
0.618831 | + | 0.785524i | \(0.287607\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.266231 | + | 2.53302i | −0.0225815 | + | 0.214848i | 0.977412 | + | 0.211341i | \(0.0677830\pi\) |
−0.999994 | + | 0.00350720i | \(0.998884\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 21.7383 | + | 24.1428i | 1.83069 | + | 2.03319i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 4.49883 | − | 11.0797i | 0.376211 | − | 0.926534i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1.14780 | − | 1.27476i | −0.0953197 | − | 0.105863i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 1.73961 | − | 16.5513i | 0.143481 | − | 1.36513i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 2.99510 | − | 3.32639i | 0.245368 | − | 0.272509i | −0.607863 | − | 0.794042i | \(-0.707973\pi\) |
0.853231 | + | 0.521533i | \(0.174640\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 10.5550 | − | 7.66865i | 0.858953 | − | 0.624066i | −0.0686466 | − | 0.997641i | \(-0.521868\pi\) |
0.927600 | + | 0.373575i | \(0.121868\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −25.9637 | + | 44.9705i | −2.09904 | + | 3.63565i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −11.5446 | −0.927285 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 9.91794 | − | 7.20581i | 0.791538 | − | 0.575086i | −0.116882 | − | 0.993146i | \(-0.537290\pi\) |
0.908419 | + | 0.418060i | \(0.137290\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 3.91141 | + | 0.831397i | 0.310195 | + | 0.0659340i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −5.65489 | − | 4.10852i | −0.445668 | − | 0.323796i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −17.5654 | + | 3.73363i | −1.37583 | + | 0.292441i | −0.835720 | − | 0.549156i | \(-0.814949\pi\) |
−0.540106 | + | 0.841597i | \(0.681616\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 5.03827 | − | 14.2565i | 0.392229 | − | 1.10987i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 7.75135 | + | 8.60875i | 0.599817 | + | 0.666165i | 0.964228 | − | 0.265074i | \(-0.0853963\pi\) |
−0.364411 | + | 0.931238i | \(0.618730\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 9.54948 | − | 8.82085i | 0.734576 | − | 0.678527i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 43.5555 | + | 9.25800i | 3.33077 | + | 0.707977i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 16.1618 | + | 7.19570i | 1.22876 | + | 0.547079i | 0.915396 | − | 0.402555i | \(-0.131878\pi\) |
0.313363 | + | 0.949633i | \(0.398544\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.26102 | + | 3.91620i | 0.170917 | + | 0.296037i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −1.39964 | −0.105203 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −0.893061 | − | 8.49691i | −0.0667505 | − | 0.635089i | −0.975840 | − | 0.218487i | \(-0.929888\pi\) |
0.909089 | − | 0.416601i | \(-0.136779\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.731251 | − | 2.25056i | −0.0543535 | − | 0.167283i | 0.920195 | − | 0.391461i | \(-0.128030\pi\) |
−0.974548 | + | 0.224178i | \(0.928030\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −22.9158 | − | 16.6493i | −1.69398 | − | 1.23075i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 6.05100 | + | 6.72032i | 0.444879 | + | 0.494088i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.64219 | + | 20.6975i | 0.120089 | + | 1.51355i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −24.9103 | + | 5.29486i | −1.81196 | + | 0.385144i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 0.678987 | − | 6.46013i | 0.0491297 | − | 0.467438i | −0.942104 | − | 0.335320i | \(-0.891156\pi\) |
0.991234 | − | 0.132118i | \(-0.0421778\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.14073 | + | 0.242471i | 0.0821119 | + | 0.0174534i | 0.248784 | − | 0.968559i | \(-0.419969\pi\) |
−0.166673 | + | 0.986012i | \(0.553302\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 11.5491 | − | 11.6970i | 0.827051 | − | 0.837636i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 5.04903 | − | 8.74517i | 0.359728 | − | 0.623068i | −0.628187 | − | 0.778062i | \(-0.716203\pi\) |
0.987915 | + | 0.154995i | \(0.0495360\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.00984 | + | 5.21319i | 0.213362 | + | 0.369553i | 0.952764 | − | 0.303710i | \(-0.0982254\pi\) |
−0.739403 | + | 0.673263i | \(0.764892\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 4.61654 | + | 2.05542i | 0.325626 | + | 0.144978i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0.559216 | + | 1.72109i | 0.0392492 | + | 0.120797i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.47366 | + | 1.10134i | −0.172768 | + | 0.0769211i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 12.5196 | − | 38.5314i | 0.870174 | − | 2.67812i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 16.4445 | − | 6.82383i | 1.13749 | − | 0.472014i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.79678 | + | 1.99552i | 0.123695 | + | 0.137378i | 0.801811 | − | 0.597577i | \(-0.203870\pi\) |
−0.678116 | + | 0.734955i | \(0.737203\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 27.7863 | + | 20.1879i | 1.90389 | + | 1.38325i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −11.3375 | + | 12.5916i | −0.773214 | + | 0.858741i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 11.1263 | + | 4.95375i | 0.755302 | + | 0.336282i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −11.5734 | + | 20.0456i | −0.782055 | + | 1.35456i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −7.95465 | + | 21.1231i | −0.535088 | + | 1.42089i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −0.440788 | − | 4.19382i | −0.0295174 | − | 0.280839i | −0.999318 | − | 0.0369381i | \(-0.988240\pi\) |
0.969800 | − | 0.243901i | \(-0.0784271\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −17.5383 | + | 19.4782i | −1.16922 | + | 1.29855i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −0.202812 | + | 1.92962i | −0.0134611 | + | 0.128074i | −0.999189 | − | 0.0402748i | \(-0.987177\pi\) |
0.985728 | + | 0.168348i | \(0.0538433\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −3.05973 | + | 9.41687i | −0.202192 | + | 0.622284i | 0.797625 | + | 0.603154i | \(0.206090\pi\) |
−0.999817 | + | 0.0191299i | \(0.993910\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −10.9731 | + | 11.5780i | −0.721979 | + | 0.761778i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −1.51560 | + | 4.66454i | −0.0992902 | + | 0.305584i | −0.988348 | − | 0.152211i | \(-0.951361\pi\) |
0.889058 | + | 0.457795i | \(0.151361\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 10.6086 | + | 7.70763i | 0.692031 | + | 0.502790i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −7.20268 | − | 1.53098i | −0.467864 | − | 0.0994476i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −4.85175 | + | 3.52500i | −0.313833 | + | 0.228013i | −0.733540 | − | 0.679647i | \(-0.762133\pi\) |
0.419706 | + | 0.907660i | \(0.362133\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −7.56539 | − | 13.1036i | −0.487330 | − | 0.844080i | 0.512564 | − | 0.858649i | \(-0.328696\pi\) |
−0.999894 | + | 0.0145691i | \(0.995362\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −31.9889 | − | 55.4064i | −2.05209 | − | 3.55432i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −0.702166 | − | 6.68067i | −0.0448598 | − | 0.426812i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 19.3347 | + | 0.890048i | 1.23023 | + | 0.0566324i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −42.4224 | + | 18.8876i | −2.68841 | + | 1.19696i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −28.7621 | + | 6.11358i | −1.81545 | + | 0.385886i | −0.985187 | − | 0.171486i | \(-0.945143\pi\) |
−0.830263 | + | 0.557371i | \(0.811810\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −4.61069 | − | 15.5291i | −0.289872 | − | 0.976306i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −8.81938 | + | 27.1433i | −0.552291 | + | 1.69978i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −12.3433 | + | 5.49561i | −0.769957 | + | 0.342807i | −0.753836 | − | 0.657063i | \(-0.771798\pi\) |
−0.0161214 | + | 0.999870i | \(0.505132\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2.94809 | − | 9.07328i | −0.183185 | − | 0.563786i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −8.48588 | + | 6.16535i | −0.525263 | + | 0.381626i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 8.95008 | − | 15.5020i | 0.551885 | − | 0.955894i | −0.446253 | − | 0.894907i | \(-0.647242\pi\) |
0.998139 | − | 0.0609868i | \(-0.0194247\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.61405 | 0.0991504 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 12.9450 | + | 5.76350i | 0.792223 | + | 0.352721i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −3.72488 | + | 4.13690i | −0.227110 | + | 0.252231i | −0.845920 | − | 0.533309i | \(-0.820948\pi\) |
0.618810 | + | 0.785540i | \(0.287615\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 23.3558 | − | 10.3987i | 1.41876 | − | 0.631673i | 0.453096 | − | 0.891462i | \(-0.350320\pi\) |
0.965665 | + | 0.259789i | \(0.0836530\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −16.1498 | + | 6.31743i | −0.977430 | + | 0.382348i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −1.36129 | + | 10.3912i | −0.0820887 | + | 0.626610i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 6.28236 | − | 1.33536i | 0.377470 | − | 0.0802338i | −0.0152695 | − | 0.999883i | \(-0.504861\pi\) |
0.392740 | + | 0.919650i | \(0.371527\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −7.37900 | + | 70.2065i | −0.441769 | + | 4.20315i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 5.79822 | + | 17.8451i | 0.345893 | + | 1.06455i | 0.961104 | + | 0.276186i | \(0.0890705\pi\) |
−0.615212 | + | 0.788362i | \(0.710929\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.37310 | − | 22.5785i | −0.141066 | − | 1.34215i | −0.804515 | − | 0.593932i | \(-0.797575\pi\) |
0.663449 | − | 0.748222i | \(-0.269092\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 24.4735 | 1.44969 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 2.85661 | 0.168620 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2.31941 | − | 22.0677i | −0.136436 | − | 1.29810i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −9.44605 | − | 29.0719i | −0.553737 | − | 1.70423i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 0.894537 | − | 8.51095i | 0.0522594 | − | 0.497215i | −0.936818 | − | 0.349817i | \(-0.886244\pi\) |
0.989077 | − | 0.147398i | \(-0.0470897\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.552598 | + | 0.117458i | −0.0321735 | + | 0.00683868i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −53.2869 | − | 25.3749i | −3.09202 | − | 1.47240i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 2.64420 | − | 17.4106i | 0.152918 | − | 1.00688i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 16.3297 | − | 7.27047i | 0.941231 | − | 0.419063i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −10.7758 | + | 11.9678i | −0.619055 | + | 0.687530i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −10.4447 | − | 4.65027i | −0.598060 | − | 0.266274i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 29.6098 | 1.68992 | 0.844961 | − | 0.534829i | \(-0.179624\pi\) | ||||
0.844961 | + | 0.534829i | \(0.179624\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 12.0079 | − | 20.7982i | 0.683103 | − | 1.18317i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −7.45969 | + | 5.41978i | −0.423000 | + | 0.307328i | −0.778844 | − | 0.627218i | \(-0.784194\pi\) |
0.355844 | + | 0.934545i | \(0.384194\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.46701 | − | 7.59266i | −0.139443 | − | 0.429163i | 0.856811 | − | 0.515630i | \(-0.172442\pi\) |
−0.996255 | + | 0.0864675i | \(0.972442\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −14.7111 | + | 6.54981i | −0.828877 | + | 0.369040i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 3.48960 | − | 10.7399i | 0.195995 | − | 0.603212i | −0.803968 | − | 0.594672i | \(-0.797282\pi\) |
0.999964 | − | 0.00853950i | \(-0.00271824\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.39745 | + | 3.95427i | −0.0782420 | + | 0.221397i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −0.516360 | + | 0.109756i | −0.0288204 | + | 0.00612597i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −30.7000 | + | 13.6685i | −1.70819 | + | 0.760536i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −6.14414 | + | 9.59415i | −0.340815 | + | 0.532188i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0.536170 | + | 5.10132i | 0.0296503 | + | 0.282103i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −6.91693 | − | 11.9805i | −0.381343 | − | 0.660505i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3.77553 | − | 6.53941i | −0.207522 | − | 0.359438i | 0.743411 | − | 0.668834i | \(-0.233206\pi\) |
−0.950933 | + | 0.309396i | \(0.899873\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 44.7361 | − | 32.5027i | 2.45152 | − | 1.78113i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 1.99516 | + | 0.424085i | 0.109007 | + | 0.0231703i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.33169 | − | 3.14716i | −0.235962 | − | 0.171437i | 0.463520 | − | 0.886086i | \(-0.346586\pi\) |
−0.699483 | + | 0.714650i | \(0.746586\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −3.38720 | + | 10.4247i | −0.183967 | + | 0.566193i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 13.4840 | + | 24.7967i | 0.730198 | + | 1.34282i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −5.28557 | + | 16.2673i | −0.285394 | + | 0.878353i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 2.32756 | − | 22.1453i | 0.125312 | − | 1.19226i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −18.9116 | + | 21.0035i | −1.01523 | + | 1.12753i | −0.0234297 | + | 0.999725i | \(0.507459\pi\) |
−0.991800 | + | 0.127801i | \(0.959208\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.149268 | + | 1.42019i | 0.00799011 | + | 0.0760208i | 0.997790 | − | 0.0664417i | \(-0.0211646\pi\) |
−0.989800 | + | 0.142462i | \(0.954498\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −40.6945 | − | 49.6052i | −2.17211 | − | 2.64773i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −3.09444 | + | 5.35973i | −0.164701 | + | 0.285270i | −0.936549 | − | 0.350537i | \(-0.885999\pi\) |
0.771848 | + | 0.635807i | \(0.219332\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 12.6646 | + | 5.63864i | 0.672166 | + | 0.299268i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 20.1469 | − | 22.3754i | 1.06629 | − | 1.18423i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 18.6780 | + | 13.5704i | 0.985787 | + | 0.716216i | 0.958995 | − | 0.283425i | \(-0.0914706\pi\) |
0.0267928 | + | 0.999641i | \(0.491471\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 6.56887 | + | 7.29547i | 0.345730 | + | 0.383972i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −36.5062 | + | 5.82971i | −1.91608 | + | 0.305980i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −2.88708 | + | 8.88553i | −0.151117 | + | 0.465090i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −26.8371 | + | 11.9486i | −1.40088 | + | 0.623713i | −0.961555 | − | 0.274613i | \(-0.911450\pi\) |
−0.439328 | + | 0.898327i | \(0.644783\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 5.11653 | + | 15.7471i | 0.266356 | + | 0.819759i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −1.55557 | − | 0.692583i | −0.0807610 | − | 0.0359571i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −3.64937 | − | 6.32089i | −0.188957 | − | 0.327283i | 0.755946 | − | 0.654634i | \(-0.227177\pi\) |
−0.944903 | + | 0.327351i | \(0.893844\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −18.6004 | + | 32.2169i | −0.960522 | + | 1.66367i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −3.20334 | + | 3.24434i | −0.164980 | + | 0.167092i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2.19705 | + | 0.466998i | 0.112855 | + | 0.0239881i | 0.263993 | − | 0.964525i | \(-0.414960\pi\) |
−0.151138 | + | 0.988513i | \(0.548294\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −4.00904 | + | 38.1435i | −0.205390 | + | 1.95415i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 25.3890 | − | 5.39659i | 1.29731 | − | 0.275753i | 0.493038 | − | 0.870008i | \(-0.335886\pi\) |
0.804277 | + | 0.594255i | \(0.202553\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.36071 | + | 5.49203i | −0.171278 | + | 0.279900i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 69.3270 | + | 76.9955i | 3.52409 | + | 3.91390i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 25.1945 | + | 18.3049i | 1.27741 | + | 0.928096i | 0.999472 | − | 0.0325018i | \(-0.0103475\pi\) |
0.277943 | + | 0.960598i | \(0.410347\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 9.44845 | + | 29.0793i | 0.477829 | + | 1.47061i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −0.205693 | − | 1.95704i | −0.0103759 | − | 0.0987196i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −2.97220 | −0.149547 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −10.1256 | − | 17.5381i | −0.508191 | − | 0.880212i | −0.999955 | − | 0.00948392i | \(-0.996981\pi\) |
0.491764 | − | 0.870728i | \(-0.336352\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −23.5868 | − | 10.5015i | −1.18081 | − | 0.525733i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 13.4116 | + | 2.85072i | 0.669744 | + | 0.142358i | 0.530220 | − | 0.847860i | \(-0.322109\pi\) |
0.139524 | + | 0.990219i | \(0.455443\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.80072 | + | 30.6317i | 0.0897002 | + | 1.52588i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −31.6980 | − | 35.2042i | −1.57509 | − | 1.74931i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 7.36709 | − | 20.8462i | 0.365173 | − | 1.03331i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 30.1831 | − | 6.41561i | 1.49246 | − | 0.317231i | 0.611809 | − | 0.791005i | \(-0.290442\pi\) |
0.880647 | + | 0.473774i | \(0.157109\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 10.7999 | + | 7.84659i | 0.532720 | + | 0.387044i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0.582975 | + | 0.123915i | 0.0286863 | + | 0.00609747i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −15.1639 | + | 11.0172i | −0.744365 | + | 0.540813i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 8.55986 | 0.419178 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −1.53696 | + | 2.66209i | −0.0750854 | + | 0.130052i | −0.901123 | − | 0.433563i | \(-0.857256\pi\) |
0.826038 | + | 0.563614i | \(0.190590\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −11.2000 | + | 8.13731i | −0.545857 | + | 0.396588i | −0.826256 | − | 0.563295i | \(-0.809533\pi\) |
0.280399 | + | 0.959884i | \(0.409533\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 53.6533 | − | 59.5881i | 2.60871 | − | 2.89727i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 2.06767 | − | 19.6725i | 0.100297 | − | 0.954258i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 8.07081 | + | 8.96354i | 0.390574 | + | 0.433776i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −38.6132 | − | 11.1445i | −1.86426 | − | 0.538063i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 23.9966 | + | 26.6509i | 1.15588 | + | 1.28373i | 0.952469 | + | 0.304635i | \(0.0985346\pi\) |
0.203407 | + | 0.979094i | \(0.434799\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −0.169926 | + | 1.61674i | −0.00816613 | + | 0.0776955i | −0.997846 | − | 0.0656009i | \(-0.979104\pi\) |
0.989680 | + | 0.143296i | \(0.0457702\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −3.85752 | + | 4.28422i | −0.184954 | + | 0.205412i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 21.2118 | − | 15.4113i | 1.01470 | − | 0.737221i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 15.8235 | − | 27.4071i | 0.755214 | − | 1.30807i | −0.190054 | − | 0.981774i | \(-0.560866\pi\) |
0.945268 | − | 0.326295i | \(-0.105800\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −41.0761 | −1.95600 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 17.4608 | − | 12.6860i | 0.829586 | − | 0.602730i | −0.0898560 | − | 0.995955i | \(-0.528641\pi\) |
0.919442 | + | 0.393225i | \(0.128641\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 5.59455 | + | 1.18916i | 0.265207 | + | 0.0563716i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −12.1703 | − | 8.84221i | −0.575633 | − | 0.418222i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 31.5011 | − | 6.69577i | 1.48663 | − | 0.315993i | 0.608169 | − | 0.793808i | \(-0.291904\pi\) |
0.878461 | + | 0.477815i | \(0.158571\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 5.25478 | + | 4.02682i | 0.247438 | + | 0.189615i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −29.3396 | − | 32.5849i | −1.37849 | − | 1.53097i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −5.84600 | + | 3.84950i | −0.274065 | + | 0.180468i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −18.5132 | − | 3.93510i | −0.866010 | − | 0.184076i | −0.246575 | − | 0.969124i | \(-0.579305\pi\) |
−0.619435 | + | 0.785048i | \(0.712638\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 101.769 | + | 45.3107i | 4.75019 | + | 2.11492i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 18.6097 | + | 32.2330i | 0.866741 | + | 1.50124i | 0.865309 | + | 0.501240i | \(0.167122\pi\) |
0.00143202 | + | 0.999999i | \(0.499544\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.07639 | 0.142972 | 0.0714861 | − | 0.997442i | \(-0.477226\pi\) | ||||
0.0714861 | + | 0.997442i | \(0.477226\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 4.05561 | + | 38.5865i | 0.188074 | + | 1.78941i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 8.53556 | + | 26.2698i | 0.394979 | + | 1.21562i | 0.928978 | + | 0.370134i | \(0.120688\pi\) |
−0.534000 | + | 0.845485i | \(0.679312\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.74090 | − | 1.26484i | −0.0803872 | − | 0.0584047i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −27.5687 | − | 30.6182i | −1.27030 | − | 1.41081i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 40.2877 | + | 9.64507i | 1.85243 | + | 0.443481i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −16.5917 | + | 3.52668i | −0.761280 | + | 0.161815i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 1.03166 | − | 9.81556i | 0.0472363 | − | 0.449424i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −29.4629 | − | 6.26253i | −1.34619 | − | 0.286142i | −0.522240 | − | 0.852799i | \(-0.674903\pi\) |
−0.823954 | + | 0.566656i | \(0.808237\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 16.8874 | − | 17.1036i | 0.770001 | − | 0.779856i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −11.7457 | + | 20.3441i | −0.534447 | + | 0.925690i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −6.16915 | − | 10.6853i | −0.280127 | − | 0.485194i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −37.6755 | − | 16.7742i | −1.70724 | − | 0.760112i | −0.998506 | − | 0.0546344i | \(-0.982601\pi\) |
−0.708732 | − | 0.705477i | \(-0.750733\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 18.6499 | + | 57.3986i | 0.843379 | + | 2.59565i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 1.82736 | − | 0.813595i | 0.0824678 | − | 0.0367170i | −0.365088 | − | 0.930973i | \(-0.618961\pi\) |
0.447556 | + | 0.894256i | \(0.352295\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.44620 | − | 7.52862i | 0.110171 | − | 0.339072i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −36.2943 | − | 8.68903i | −1.63131 | − | 0.390543i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −9.78618 | − | 10.8686i | −0.438970 | − | 0.487526i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 8.67304 | + | 6.30133i | 0.388259 | + | 0.282086i | 0.764741 | − | 0.644337i | \(-0.222867\pi\) |
−0.376483 | + | 0.926424i | \(0.622867\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 26.0507 | − | 28.9322i | 1.16386 | − | 1.29260i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 17.8515 | + | 7.94800i | 0.795959 | + | 0.354384i | 0.764091 | − | 0.645108i | \(-0.223188\pi\) |
0.0318681 | + | 0.999492i | \(0.489854\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3.25011 | + | 5.62935i | −0.144628 | + | 0.250503i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −32.8374 | − | 28.8193i | −1.45836 | − | 1.27991i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −1.29058 | − | 12.2790i | −0.0572039 | − | 0.544259i | −0.985168 | − | 0.171590i | \(-0.945110\pi\) |
0.927965 | − | 0.372668i | \(-0.121557\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 6.59522 | − | 7.32474i | 0.291755 | − | 0.324027i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 9.98535 | − | 95.0042i | 0.440864 | − | 4.19454i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 2.99548 | − | 9.21913i | 0.131996 | − | 0.406243i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 4.16446 | − | 31.7887i | 0.183153 | − | 1.39807i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 18.3732 | − | 56.5468i | 0.806493 | − | 2.48213i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 15.1118 | + | 10.9794i | 0.662060 | + | 0.481015i | 0.867358 | − | 0.497685i | \(-0.165816\pi\) |
−0.205298 | + | 0.978700i | \(0.565816\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −4.47665 | − | 0.951540i | −0.195750 | − | 0.0416080i | 0.108993 | − | 0.994042i | \(-0.465237\pi\) |
−0.304743 | + | 0.952435i | \(0.598571\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 12.2951 | − | 8.93294i | 0.536604 | − | 0.389866i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −26.6381 | − | 46.1385i | −1.16037 | − | 2.00982i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −0.427786 | − | 0.740947i | −0.0185994 | − | 0.0322151i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0.361096 | + | 3.43560i | 0.0156702 | + | 0.149092i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 3.30807 | + | 6.39166i | 0.143289 | + | 0.276854i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.194655 | + | 0.0866661i | −0.00841568 | + | 0.00374690i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −28.0862 | + | 5.96991i | −1.21201 | + | 0.257621i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −13.5293 | + | 9.31112i | −0.582748 | + | 0.401058i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 9.54493 | − | 29.3763i | 0.410369 | − | 1.26298i | −0.505960 | − | 0.862557i | \(-0.668862\pi\) |
0.916328 | − | 0.400427i | \(-0.131138\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −7.26535 | + | 3.23474i | −0.311786 | + | 0.138816i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0.639791 | + | 1.96907i | 0.0274056 | + | 0.0843459i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −16.9245 | + | 12.2964i | −0.723640 | + | 0.525755i | −0.887545 | − | 0.460721i | \(-0.847591\pi\) |
0.163905 | + | 0.986476i | \(0.447591\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −34.9557 | + | 60.5451i | −1.49187 | + | 2.58400i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −6.78813 | −0.289184 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 2.86450 | + | 1.27536i | 0.121811 | + | 0.0542338i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 20.3362 | − | 22.5856i | 0.863223 | − | 0.958706i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −27.0753 | + | 12.0547i | −1.14722 | + | 0.510774i | −0.890172 | − | 0.455626i | \(-0.849416\pi\) |
−0.257045 | + | 0.966399i | \(0.582749\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 35.1782 | + | 28.1183i | 1.48788 | + | 1.18928i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 68.6020 | − | 12.7598i | 2.89638 | − | 0.538721i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −23.7137 | + | 5.04050i | −0.999413 | + | 0.212432i | −0.678439 | − | 0.734656i | \(-0.737343\pi\) |
−0.320974 | + | 0.947088i | \(0.604010\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.462467 | + | 4.40008i | −0.0194561 | + | 0.185113i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 15.4435 | + | 47.5301i | 0.648564 | + | 1.99608i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −2.81981 | − | 26.8287i | −0.118212 | − | 1.12472i | −0.879366 | − | 0.476146i | \(-0.842034\pi\) |
0.761154 | − | 0.648571i | \(-0.224633\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 25.0290 | 1.04743 | 0.523716 | − | 0.851893i | \(-0.324545\pi\) | ||||
0.523716 | + | 0.851893i | \(0.324545\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −21.8308 | −0.911993 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 1.61321 | + | 15.3487i | 0.0672757 | + | 0.640085i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −10.2323 | − | 31.4917i | −0.425975 | − | 1.31102i | −0.902057 | − | 0.431616i | \(-0.857944\pi\) |
0.476082 | − | 0.879401i | \(-0.342056\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0.409691 | − | 3.89795i | 0.0170262 | − | 0.161993i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 19.3419 | − | 4.11124i | 0.802435 | − | 0.170563i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.88519 | − | 3.46682i | −0.0780767 | − | 0.143581i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −31.6913 | − | 25.3311i | −1.31027 | − | 1.04731i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 1.44187 | − | 0.641963i | 0.0595125 | − | 0.0264967i | −0.376765 | − | 0.926309i | \(-0.622963\pi\) |
0.436277 | + | 0.899812i | \(0.356297\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −30.5692 | + | 33.9506i | −1.25958 | + | 1.39891i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −31.0035 | − | 13.8036i | −1.27531 | − | 0.567805i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −38.1089 | −1.56494 | −0.782471 | − | 0.622686i | \(-0.786041\pi\) | ||||
−0.782471 | + | 0.622686i | \(0.786041\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 6.07652 | − | 10.5248i | 0.249113 | − | 0.431476i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 16.3671 | − | 11.8914i | 0.669862 | − | 0.486683i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −8.22083 | − | 25.3011i | −0.335894 | − | 1.03378i | −0.966280 | − | 0.257494i | \(-0.917103\pi\) |
0.630386 | − | 0.776282i | \(-0.282897\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −20.0488 | + | 8.92632i | −0.817810 | + | 0.364112i | −0.772622 | − | 0.634866i | \(-0.781055\pi\) |
−0.0451875 | + | 0.998979i | \(0.514389\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 3.85425 | − | 11.8622i | 0.156957 | − | 0.483065i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −13.9239 | + | 5.36526i | −0.566088 | + | 0.218129i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −6.46960 | + | 1.37516i | −0.262593 | + | 0.0558159i | −0.337327 | − | 0.941388i | \(-0.609523\pi\) |
0.0747336 | + | 0.997204i | \(0.476189\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 5.55609 | − | 2.47373i | 0.225144 | − | 0.100241i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 18.7962 | − | 29.3505i | 0.760413 | − | 1.18740i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 3.04252 | + | 28.9477i | 0.122886 | + | 1.16919i | 0.866008 | + | 0.500030i | \(0.166678\pi\) |
−0.743122 | + | 0.669156i | \(0.766656\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 4.55011 | + | 7.88101i | 0.183478 | + | 0.317793i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 5.15624 | + | 8.93087i | 0.207582 | + | 0.359543i | 0.950952 | − | 0.309337i | \(-0.100107\pi\) |
−0.743370 | + | 0.668880i | \(0.766774\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 27.0999 | − | 19.6892i | 1.08924 | − | 0.791377i | 0.109967 | − | 0.993935i | \(-0.464926\pi\) |
0.979270 | + | 0.202558i | \(0.0649255\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −85.0165 | − | 18.0708i | −3.41160 | − | 0.725157i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −4.88158 | − | 3.54667i | −0.195576 | − | 0.142094i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.242137 | − | 0.745220i | 0.00968547 | − | 0.0298088i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −28.5848 | − | 52.5668i | −1.14157 | − | 2.09931i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −12.8959 | + | 39.6896i | −0.514194 | + | 1.58253i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 0.920292 | − | 8.75599i | 0.0366362 | − | 0.348570i | −0.960813 | − | 0.277196i | \(-0.910595\pi\) |
0.997450 | − | 0.0713744i | \(-0.0227385\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 6.03860 | − | 6.70655i | 0.240013 | − | 0.266561i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 1.61819 | + | 15.3960i | 0.0642158 | + | 0.610972i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −17.6165 | + | 2.90513i | −0.697993 | + | 0.115105i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 42.3852 | − | 73.4134i | 1.67673 | − | 2.90419i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −24.2818 | − | 10.8110i | −0.959074 | − | 0.427007i | −0.133342 | − | 0.991070i | \(-0.542571\pi\) |
−0.825732 | + | 0.564063i | \(0.809238\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 11.9960 | − | 13.3229i | 0.473075 | − | 0.525403i | −0.458626 | − | 0.888629i | \(-0.651658\pi\) |
0.931701 | + | 0.363227i | \(0.118325\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 46.0689 | + | 33.4710i | 1.81396 | + | 1.31792i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 29.6277 | + | 32.9049i | 1.16479 | + | 1.29363i | 0.948312 | + | 0.317338i | \(0.102789\pi\) |
0.216474 | + | 0.976288i | \(0.430544\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.897716 | + | 1.04974i | 0.0352384 | + | 0.0412057i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 12.6487 | − | 38.9286i | 0.495741 | − | 1.52573i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 43.7162 | − | 19.4637i | 1.71075 | − | 0.761673i | 0.712551 | − | 0.701620i | \(-0.247540\pi\) |
0.998195 | − | 0.0600531i | \(-0.0191270\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.245446 | − | 0.755405i | −0.00959036 | − | 0.0295161i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 52.1904 | + | 23.2367i | 2.03614 | + | 0.906549i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 1.81039 | + | 3.13569i | 0.0705227 | + | 0.122149i | 0.899131 | − | 0.437681i | \(-0.144200\pi\) |
−0.828608 | + | 0.559830i | \(0.810867\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −19.9845 | + | 34.6142i | −0.777308 | + | 1.34634i | 0.156181 | + | 0.987728i | \(0.450082\pi\) |
−0.933488 | + | 0.358608i | \(0.883252\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 73.3959 | + | 19.1670i | 2.85046 | + | 0.744385i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −10.1937 | − | 2.16673i | −0.395293 | − | 0.0840222i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.645587 | + | 6.14235i | −0.0249972 | + | 0.237833i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −13.8625 | + | 2.94657i | −0.535956 | + | 0.113921i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 2.21093 | + | 27.8656i | 0.0853522 | + | 1.07574i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −5.26576 | − | 5.84822i | −0.202980 | − | 0.225432i | 0.633057 | − | 0.774105i | \(-0.281800\pi\) |
−0.836037 | + | 0.548673i | \(0.815133\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 45.4909 | + | 33.0510i | 1.75094 | + | 1.27214i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −14.1789 | − | 43.6382i | −0.544940 | − | 1.67715i | −0.721133 | − | 0.692797i | \(-0.756378\pi\) |
0.176193 | − | 0.984356i | \(-0.443622\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.36060 | + | 12.9453i | 0.0522152 | + | 0.496794i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 6.52079 | 0.249877 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 1.21301 | + | 2.10099i | 0.0464145 | + | 0.0803922i | 0.888299 | − | 0.459265i | \(-0.151887\pi\) |
−0.841885 | + | 0.539657i | \(0.818554\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 4.92244 | + | 2.19161i | 0.188077 | + | 0.0837372i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 32.5497 | + | 6.91865i | 1.24185 | + | 0.263963i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −0.251758 | − | 4.28262i | −0.00959123 | − | 0.163155i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 8.57028 | + | 9.51826i | 0.326029 | + | 0.362092i | 0.883769 | − | 0.467924i | \(-0.154998\pi\) |
−0.557740 | + | 0.830016i | \(0.688331\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 31.2507 | + | 23.9479i | 1.18712 | + | 0.909706i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 3.37955 | − | 0.718346i | 0.128194 | − | 0.0272484i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −10.1093 | − | 7.34482i | −0.382916 | − | 0.278205i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 16.1231 | + | 3.42707i | 0.609832 | + | 0.129624i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −20.5920 | + | 14.9610i | −0.777750 | + | 0.565068i | −0.904303 | − | 0.426891i | \(-0.859609\pi\) |
0.126553 | + | 0.991960i | \(0.459609\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 35.7858 | 1.34969 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 22.0351 | − | 38.1658i | 0.829888 | − | 1.43741i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 5.54787 | − | 4.03076i | 0.208649 | − | 0.151592i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −0.0690171 | + | 0.0766513i | −0.00259199 | + | 0.00287870i | −0.744439 | − | 0.667690i | \(-0.767283\pi\) |
0.741847 | + | 0.670569i | \(0.233950\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −1.89975 | + | 18.0749i | −0.0712461 | + | 0.677861i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 27.8135 | + | 30.8900i | 1.04162 | + | 1.15684i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −16.1803 | − | 1.15958i | −0.605108 | − | 0.0433659i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 13.4863 | + | 14.9781i | 0.503656 | + | 0.559367i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 1.17899 | − | 11.2173i | 0.0439687 | − | 0.418335i | −0.950293 | − | 0.311358i | \(-0.899216\pi\) |
0.994262 | − | 0.106977i | \(-0.0341171\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −6.84283 | + | 7.59973i | −0.254840 | + | 0.283029i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −41.1397 | + | 29.8897i | −1.53000 | + | 1.11161i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 1.99783 | − | 3.46034i | 0.0741975 | − | 0.128514i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −34.1274 | −1.26572 | −0.632858 | − | 0.774268i | \(-0.718118\pi\) | ||||
−0.632858 | + | 0.774268i | \(0.718118\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −89.1959 | + | 64.8046i | −3.30355 | + | 2.40017i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −76.4831 | − | 16.2570i | −2.82883 | − | 0.601287i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −21.9888 | − | 15.9758i | −0.812175 | − | 0.590080i | 0.102285 | − | 0.994755i | \(-0.467385\pi\) |
−0.914461 | + | 0.404675i | \(0.867385\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −22.0827 | + | 4.69382i | −0.814532 | + | 0.173134i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −1.41943 | − | 4.78074i | −0.0522855 | − | 0.176101i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −1.60732 | − | 1.78511i | −0.0591261 | − | 0.0656662i | 0.712856 | − | 0.701310i | \(-0.247401\pi\) |
−0.771982 | + | 0.635644i | \(0.780735\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −3.81736 | − | 64.9366i | −0.140234 | − | 2.38550i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −23.8396 | − | 5.06726i | −0.874589 | − | 0.185900i | −0.251317 | − | 0.967905i | \(-0.580864\pi\) |
−0.623272 | + | 0.782005i | \(0.714197\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −5.54702 | − | 2.46969i | −0.203227 | − | 0.0904826i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 57.3068 | + | 99.2583i | 2.09675 | + | 3.63167i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0.224790 | 0.00821365 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −0.972408 | − | 9.25184i | −0.0354837 | − | 0.337604i | −0.997833 | − | 0.0657904i | \(-0.979043\pi\) |
0.962350 | − | 0.271814i | \(-0.0876236\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 30.5380 | + | 93.9864i | 1.11287 | + | 3.42506i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −14.3182 | − | 10.4028i | −0.521092 | − | 0.378596i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 33.6635 | + | 37.3871i | 1.22352 | + | 1.35886i | 0.912826 | + | 0.408349i | \(0.133895\pi\) |
0.310696 | + | 0.950509i | \(0.399438\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −50.2845 | + | 20.8661i | −1.82521 | + | 0.757390i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −16.2184 | + | 3.44732i | −0.587915 | + | 0.124965i | −0.492258 | − | 0.870449i | \(-0.663828\pi\) |
−0.0956566 | + | 0.995414i | \(0.530495\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.228314 | − | 2.17226i | 0.00826551 | − | 0.0786410i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 68.9020 | + | 14.6456i | 2.49116 | + | 0.529512i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0.397850 | + | 1.44791i | 0.0143655 | + | 0.0522809i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −2.12113 | + | 3.67391i | −0.0764900 | + | 0.132485i | −0.901733 | − | 0.432293i | \(-0.857705\pi\) |
0.825243 | + | 0.564777i | \(0.191038\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 22.7047 | + | 39.3256i | 0.817688 | + | 1.41628i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −36.9279 | − | 16.4414i | −1.32820 | − | 0.591355i | −0.384800 | − | 0.923000i | \(-0.625730\pi\) |
−0.943404 | + | 0.331645i | \(0.892396\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −8.30987 | − | 25.5751i | −0.298499 | − | 0.918686i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −29.2907 | + | 13.0411i | −1.05080 | + | 0.467846i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −3.31121 | + | 10.1908i | −0.118636 | + | 0.365125i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −2.68085 | − | 33.7881i | −0.0959282 | − | 1.20904i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 15.0571 | + | 16.7226i | 0.538096 | + | 0.597616i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −13.4540 | − | 9.77491i | −0.480194 | − | 0.348881i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −18.1933 | + | 20.2057i | −0.648521 | + | 0.720255i | −0.974316 | − | 0.225185i | \(-0.927701\pi\) |
0.325795 | + | 0.945440i | \(0.394368\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −54.9578 | − | 24.4688i | −1.95655 | − | 0.871111i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 2.33377 | − | 4.04220i | 0.0829792 | − | 0.143724i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −10.7096 | + | 28.4386i | −0.380308 | + | 1.00988i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −0.567014 | − | 5.39478i | −0.0201099 | − | 0.191333i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −3.10607 | + | 3.44964i | −0.110023 | + | 0.122193i | −0.795640 | − | 0.605769i | \(-0.792865\pi\) |
0.685618 | + | 0.727962i | \(0.259532\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −6.32543 | + | 60.1824i | −0.223778 | + | 2.12910i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 10.8075 | − | 33.2622i | 0.381866 | − | 1.17526i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 22.4573 | − | 4.17702i | 0.792502 | − | 0.147404i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −2.93007 | + | 9.01784i | −0.103272 | + | 0.317837i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 15.1356 | + | 10.9967i | 0.532800 | + | 0.387102i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −25.0420 | − | 5.32284i | −0.880429 | − | 0.187141i | −0.254549 | − | 0.967060i | \(-0.581927\pi\) |
−0.625881 | + | 0.779919i | \(0.715260\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 33.8152 | − | 24.5682i | 1.18741 | − | 0.862706i | 0.194425 | − | 0.980917i | \(-0.437716\pi\) |
0.992988 | + | 0.118211i | \(0.0377160\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −42.9611 | − | 74.4109i | −1.50671 | − | 2.60970i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 12.1802 | + | 21.0966i | 0.426652 | + | 0.738983i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 7.00869 | + | 66.6833i | 0.245203 | + | 2.33295i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 19.6735 | + | 38.0119i | 0.687447 | + | 1.32824i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −1.56816 | + | 0.698189i | −0.0547291 | + | 0.0243670i | −0.433919 | − | 0.900952i | \(-0.642869\pi\) |
0.379190 | + | 0.925319i | \(0.376203\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −9.34935 | + | 1.98727i | −0.325898 | + | 0.0692717i | −0.367955 | − | 0.929843i | \(-0.619942\pi\) |
0.0420574 | + | 0.999115i | \(0.486609\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 35.2095 | + | 0.899544i | 1.22584 | + | 0.0313181i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 13.7277 | − | 42.2497i | 0.477360 | − | 1.46916i | −0.365387 | − | 0.930856i | \(-0.619063\pi\) |
0.842748 | − | 0.538309i | \(-0.180937\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −22.0943 | + | 9.83702i | −0.767367 | + | 0.341654i | −0.752808 | − | 0.658240i | \(-0.771301\pi\) |
−0.0145592 | + | 0.999894i | \(0.504634\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −6.67026 | − | 20.5290i | −0.231389 | − | 0.712142i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 25.0794 | − | 18.2212i | 0.868948 | − | 0.631328i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 7.85718 | − | 13.6090i | 0.271909 | − | 0.470960i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 151.444 | 5.23468 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 3.51478 | + | 1.56488i | 0.121344 | + | 0.0540256i | 0.466510 | − | 0.884516i | \(-0.345511\pi\) |
−0.345167 | + | 0.938541i | \(0.612178\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −18.3348 | + | 20.3629i | −0.632236 | + | 0.702169i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 57.6082 | − | 25.6488i | 1.98413 | − | 0.883392i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −15.3832 | − | 8.62253i | −0.529198 | − | 0.296624i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 15.7216 | + | 0.803848i | 0.540201 | + | 0.0276205i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −74.6325 | + | 15.8636i | −2.56138 | + | 0.544438i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 3.40342 | − | 32.3814i | 0.116668 | − | 1.11002i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −5.98756 | − | 18.4278i | −0.205010 | − | 0.630956i | −0.999713 | − | 0.0239577i | \(-0.992373\pi\) |
0.794703 | − | 0.606999i | \(-0.207627\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −6.31398 | − | 60.0735i | −0.215933 | − | 2.05447i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −24.4992 | −0.836878 | −0.418439 | − | 0.908245i | \(-0.637423\pi\) | ||||
−0.418439 | + | 0.908245i | \(0.637423\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −9.20783 | −0.314167 | −0.157084 | − | 0.987585i | \(-0.550209\pi\) | ||||
−0.157084 | + | 0.987585i | \(0.550209\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −1.00352 | − | 9.54788i | −0.0342000 | − | 0.325391i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 14.3908 | + | 44.2904i | 0.489869 | + | 1.50766i | 0.824803 | + | 0.565421i | \(0.191286\pi\) |
−0.334933 | + | 0.942242i | \(0.608714\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 2.50856 | − | 23.8673i | 0.0852935 | − | 0.811514i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −72.9439 | + | 15.5047i | −2.47731 | + | 0.526567i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 3.47149 | + | 6.38399i | 0.117762 | + | 0.216562i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.814037 | − | 5.35999i | 0.0275826 | − | 0.181616i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −68.9238 | + | 30.6869i | −2.33272 | + | 1.03859i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 10.5997 | − | 11.7721i | 0.358335 | − | 0.397971i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −29.7216 | − | 13.2329i | −1.00363 | − | 0.446843i | −0.161935 | − | 0.986801i | \(-0.551773\pi\) |
−0.841692 | + | 0.539958i | \(0.818440\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −28.7611 | −0.970089 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 2.91824 | − | 5.05454i | 0.0983181 | − | 0.170292i | −0.812671 | − | 0.582723i | \(-0.801987\pi\) |
0.910989 | + | 0.412432i | \(0.135320\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −7.35838 | + | 5.34618i | −0.247629 | + | 0.179913i | −0.704675 | − | 0.709530i | \(-0.748907\pi\) |
0.457046 | + | 0.889443i | \(0.348907\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0.586718 | + | 1.80573i | 0.0197223 | + | 0.0606990i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −0.737068 | + | 0.328164i | −0.0247483 | + | 0.0110187i | −0.419073 | − | 0.907952i | \(-0.637645\pi\) |
0.394325 | + | 0.918971i | \(0.370978\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 5.04682 | − | 15.5325i | 0.169265 | − | 0.520944i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −38.5923 | + | 109.202i | −1.29289 | + | 3.65841i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 50.7576 | − | 10.7889i | 1.69854 | − | 0.361035i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −10.5878 | + | 4.71401i | −0.353912 | + | 0.157572i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −59.1220 | − | 2.72161i | −1.97403 | − | 0.0908719i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −1.12489 | − | 10.7026i | −0.0375171 | − | 0.356952i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 3.72427 | + | 6.45062i | 0.124073 | + | 0.214901i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −30.0373 | − | 52.0262i | −0.999580 | − | 1.73132i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −2.59700 | + | 1.88683i | −0.0863272 | + | 0.0627204i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −18.7140 | − | 3.97778i | −0.621387 | − | 0.132080i | −0.113549 | − | 0.993532i | \(-0.536222\pi\) |
−0.507838 | + | 0.861452i | \(0.669555\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 32.1565 | + | 23.3631i | 1.06656 | + | 0.774904i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 14.5025 | − | 44.6342i | 0.480490 | − | 1.47880i | −0.357917 | − | 0.933753i | \(-0.616513\pi\) |
0.838407 | − | 0.545044i | \(-0.183487\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 41.3751 | + | 19.7026i | 1.36932 | + | 0.652059i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −11.8738 | + | 36.5438i | −0.392535 | + | 1.20810i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −0.0875889 | + | 0.833353i | −0.00289244 | + | 0.0275197i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 28.0979 | − | 31.2059i | 0.926864 | − | 1.02939i | −0.0726227 | − | 0.997359i | \(-0.523137\pi\) |
0.999487 | − | 0.0320276i | \(-0.0101964\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −10.4019 | − | 98.9674i | −0.342754 | − | 3.26109i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 12.9858 | − | 34.4829i | 0.427433 | − | 1.13502i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −10.5322 | + | 18.2423i | −0.346296 | + | 0.599803i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −54.1499 | − | 24.1091i | −1.77851 | − | 0.791846i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −17.7598 | + | 19.7242i | −0.582679 | + | 0.647130i | −0.960346 | − | 0.278811i | \(-0.910060\pi\) |
0.377667 | + | 0.925941i | \(0.376726\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −21.5059 | − | 15.6249i | −0.704827 | − | 0.512087i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 20.7356 | + | 23.0292i | 0.678852 | + | 0.753942i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 26.0142 | − | 10.7949i | 0.850755 | − | 0.353030i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 0.887109 | − | 2.73024i | 0.0289806 | − | 0.0891931i | −0.935520 | − | 0.353274i | \(-0.885068\pi\) |
0.964501 | + | 0.264081i | \(0.0850685\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −24.5109 | + | 10.9130i | −0.799884 | + | 0.356131i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 4.91154 | + | 15.1162i | 0.160112 | + | 0.492773i | 0.998643 | − | 0.0520803i | \(-0.0165852\pi\) |
−0.838531 | + | 0.544854i | \(0.816585\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 8.90644 | + | 3.96540i | 0.290034 | + | 0.129131i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 17.2733 | + | 29.9182i | 0.561901 | + | 0.973240i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 1.42496 | − | 2.46811i | 0.0463051 | − | 0.0802028i | −0.841944 | − | 0.539565i | \(-0.818589\pi\) |
0.888249 | + | 0.459362i | \(0.151922\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 24.0266 | + | 6.27445i | 0.779938 | + | 0.203677i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −37.1227 | − | 7.89068i | −1.20379 | − | 0.255873i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 3.44190 | − | 32.7475i | 0.111494 | − | 1.06079i | −0.785533 | − | 0.618819i | \(-0.787611\pi\) |
0.897027 | − | 0.441975i | \(-0.145722\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −8.61908 | + | 1.83204i | −0.278907 | + | 0.0592835i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 13.7076 | + | 3.28167i | 0.443104 | + | 0.106081i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −3.80367 | − | 4.22440i | −0.122827 | − | 0.136413i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −33.5149 | − | 24.3500i | −1.08112 | − | 0.785483i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0.402626 | + | 1.23916i | 0.0129745 | + | 0.0399313i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −0.165365 | − | 1.57335i | −0.00532330 | − | 0.0506478i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −52.4181 | −1.68565 | −0.842826 | − | 0.538187i | \(-0.819110\pi\) | ||||
−0.842826 | + | 0.538187i | \(0.819110\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 56.4703 | + | 97.8094i | 1.81409 | + | 3.14209i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −33.1244 | − | 14.7479i | −1.06301 | − | 0.473284i | −0.200697 | − | 0.979653i | \(-0.564321\pi\) |
−0.862317 | + | 0.506370i | \(0.830987\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −3.56534 | − | 0.757836i | −0.114299 | − | 0.0242951i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 34.2258 | + | 17.1657i | 1.09610 | + | 0.549741i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −7.43344 | − | 8.25567i | −0.237817 | − | 0.264122i | 0.612408 | − | 0.790542i | \(-0.290201\pi\) |
−0.850225 | + | 0.526419i | \(0.823534\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −3.98018 | − | 13.4055i | −0.127207 | − | 0.428441i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 12.3835 | − | 2.63220i | 0.395375 | − | 0.0840396i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −14.1468 | − | 10.2782i | −0.451212 | − | 0.327825i | 0.338862 | − | 0.940836i | \(-0.389958\pi\) |
−0.790074 | + | 0.613011i | \(0.789958\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −13.3990 | − | 2.84804i | −0.426927 | − | 0.0907462i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −37.6135 | + | 27.3278i | −1.19725 | + | 0.869853i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 61.0060 | 1.93988 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −17.1936 | + | 29.7802i | −0.546173 | + | 0.945999i | 0.452359 | + | 0.891836i | \(0.350582\pi\) |
−0.998532 | + | 0.0541632i | \(0.982751\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −20.5309 | + | 14.9166i | −0.651528 | + | 0.473363i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 5.46404 | − | 6.06843i | 0.173222 | − | 0.192382i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −1.71817 | + | 16.3473i | −0.0544150 | + | 0.517724i | 0.933034 | + | 0.359787i | \(0.117151\pi\) |
−0.987449 | + | 0.157936i | \(0.949516\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −79.3782 | − | 88.1584i | −2.51142 | − | 2.78921i |
(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 | 572.2.bg.a.9.1 | ✓ | 112 | |
11.5 | even | 5 | inner | 572.2.bg.a.269.14 | yes | 112 | |
13.3 | even | 3 | inner | 572.2.bg.a.185.14 | yes | 112 | |
143.16 | even | 15 | inner | 572.2.bg.a.445.1 | yes | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
572.2.bg.a.9.1 | ✓ | 112 | 1.1 | even | 1 | trivial | |
572.2.bg.a.185.14 | yes | 112 | 13.3 | even | 3 | inner | |
572.2.bg.a.269.14 | yes | 112 | 11.5 | even | 5 | inner | |
572.2.bg.a.445.1 | yes | 112 | 143.16 | even | 15 | inner |