Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(22,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(112))
chi = DirichletCharacter(H, H._module([35, 40]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.bj (of order \(112\), degree \(48\), 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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(3072\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{112})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{112}]$ |
Embedding invariants
Embedding label | 22.4 | ||
Character | \(\chi\) | \(=\) | 731.22 |
Dual form | 731.2.bj.a.432.4 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{5}{16}\right)\) | \(e\left(\frac{5}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.59483 | − | 0.145722i | −1.83482 | − | 0.103041i | −0.895285 | − | 0.445493i | \(-0.853028\pi\) |
−0.939535 | + | 0.342452i | \(0.888743\pi\) | |||||||
\(3\) | 0.575733 | − | 0.976009i | 0.332400 | − | 0.563499i | −0.647727 | − | 0.761873i | \(-0.724280\pi\) |
0.980126 | + | 0.198374i | \(0.0635659\pi\) | |||||||
\(4\) | 4.72448 | + | 0.532321i | 2.36224 | + | 0.266160i | ||||
\(5\) | 0.0913480 | + | 3.25577i | 0.0408521 | + | 1.45602i | 0.705417 | + | 0.708793i | \(0.250760\pi\) |
−0.664565 | + | 0.747231i | \(0.731383\pi\) | |||||||
\(6\) | −1.63615 | + | 2.44868i | −0.667957 | + | 0.999669i | ||||
\(7\) | 0.226007 | − | 0.0449555i | 0.0854225 | − | 0.0169916i | −0.152194 | − | 0.988351i | \(-0.548634\pi\) |
0.237617 | + | 0.971359i | \(0.423634\pi\) | |||||||
\(8\) | −7.05724 | − | 1.19907i | −2.49511 | − | 0.423936i | ||||
\(9\) | 0.830032 | + | 1.50183i | 0.276677 | + | 0.500610i | ||||
\(10\) | 0.237406 | − | 8.46147i | 0.0750743 | − | 2.67575i | ||||
\(11\) | −3.02543 | + | 0.964292i | −0.912202 | + | 0.290745i | −0.722722 | − | 0.691139i | \(-0.757109\pi\) |
−0.189481 | + | 0.981884i | \(0.560680\pi\) | |||||||
\(12\) | 3.23959 | − | 4.30466i | 0.935188 | − | 1.24265i | ||||
\(13\) | 3.53392 | − | 5.62421i | 0.980134 | − | 1.55987i | 0.160462 | − | 0.987042i | \(-0.448702\pi\) |
0.819672 | − | 0.572833i | \(-0.194156\pi\) | |||||||
\(14\) | −0.593000 | + | 0.0837176i | −0.158486 | + | 0.0223745i | ||||
\(15\) | 3.23025 | + | 1.78530i | 0.834047 | + | 0.460961i | ||||
\(16\) | 8.86726 | + | 2.02389i | 2.21681 | + | 0.505974i | ||||
\(17\) | 3.93257 | − | 1.23891i | 0.953788 | − | 0.300480i | ||||
\(18\) | −1.93494 | − | 4.01794i | −0.456070 | − | 0.947039i | ||||
\(19\) | 0.248280 | + | 0.137220i | 0.0569594 | + | 0.0314804i | 0.511942 | − | 0.859020i | \(-0.328926\pi\) |
−0.454983 | + | 0.890500i | \(0.650355\pi\) | |||||||
\(20\) | −1.30154 | + | 15.4304i | −0.291033 | + | 3.45035i | ||||
\(21\) | 0.0862425 | − | 0.246467i | 0.0188197 | − | 0.0537835i | ||||
\(22\) | 7.99100 | − | 2.06130i | 1.70369 | − | 0.439471i | ||||
\(23\) | 0.997011 | + | 3.12809i | 0.207891 | + | 0.652251i | 0.999168 | + | 0.0407927i | \(0.0129883\pi\) |
−0.791276 | + | 0.611459i | \(0.790583\pi\) | |||||||
\(24\) | −5.23339 | + | 6.19758i | −1.06826 | + | 1.26508i | ||||
\(25\) | −5.59954 | + | 0.314463i | −1.11991 | + | 0.0628927i | ||||
\(26\) | −9.98950 | + | 14.0789i | −1.95910 | + | 2.76110i | ||||
\(27\) | 5.34183 | + | 0.149877i | 1.02804 | + | 0.0288439i | ||||
\(28\) | 1.09169 | − | 0.0920833i | 0.206311 | − | 0.0174021i | ||||
\(29\) | 0.370934 | − | 0.492884i | 0.0688806 | − | 0.0915263i | −0.763259 | − | 0.646093i | \(-0.776402\pi\) |
0.832139 | + | 0.554567i | \(0.187116\pi\) | |||||||
\(30\) | −8.12178 | − | 5.10326i | −1.48283 | − | 0.931723i | ||||
\(31\) | 3.68526 | − | 0.520272i | 0.661892 | − | 0.0934436i | 0.199195 | − | 0.979960i | \(-0.436167\pi\) |
0.462697 | + | 0.886516i | \(0.346882\pi\) | |||||||
\(32\) | −8.95687 | − | 2.58043i | −1.58337 | − | 0.456160i | ||||
\(33\) | −0.800684 | + | 3.50802i | −0.139381 | + | 0.610669i | ||||
\(34\) | −10.3849 | + | 2.64170i | −1.78099 | + | 0.453048i | ||||
\(35\) | 0.167010 | + | 0.731719i | 0.0282298 | + | 0.123683i | ||||
\(36\) | 3.12201 | + | 7.53720i | 0.520335 | + | 1.25620i | ||||
\(37\) | −6.30603 | + | 4.21355i | −1.03670 | + | 0.692704i | −0.952747 | − | 0.303766i | \(-0.901756\pi\) |
−0.0839576 | + | 0.996469i | \(0.526756\pi\) | |||||||
\(38\) | −0.624249 | − | 0.392242i | −0.101267 | − | 0.0636300i | ||||
\(39\) | −3.45468 | − | 6.68718i | −0.553192 | − | 1.07081i | ||||
\(40\) | 3.25924 | − | 23.0863i | 0.515331 | − | 3.65026i | ||||
\(41\) | 0.414372 | − | 1.60639i | 0.0647140 | − | 0.250875i | −0.927787 | − | 0.373109i | \(-0.878292\pi\) |
0.992501 | + | 0.122234i | \(0.0390059\pi\) | |||||||
\(42\) | −0.259700 | + | 0.626972i | −0.0400726 | + | 0.0967439i | ||||
\(43\) | 0.147829 | + | 6.55577i | 0.0225437 | + | 0.999746i | ||||
\(44\) | −14.8069 | + | 2.94528i | −2.23222 | + | 0.444017i | ||||
\(45\) | −4.81378 | + | 2.83958i | −0.717597 | + | 0.423299i | ||||
\(46\) | −2.13124 | − | 8.26214i | −0.314234 | − | 1.21819i | ||||
\(47\) | −0.592979 | + | 5.26283i | −0.0864949 | + | 0.767663i | 0.873343 | + | 0.487106i | \(0.161948\pi\) |
−0.959837 | + | 0.280557i | \(0.909481\pi\) | |||||||
\(48\) | 7.08051 | − | 7.48930i | 1.02198 | − | 1.08099i | ||||
\(49\) | −6.41810 | + | 2.65846i | −0.916871 | + | 0.379781i | ||||
\(50\) | 14.5757 | 2.06131 | ||||||||
\(51\) | 1.05492 | − | 4.55150i | 0.147718 | − | 0.637338i | ||||
\(52\) | 19.6898 | − | 24.6903i | 2.73049 | − | 3.42392i | ||||
\(53\) | 12.1784 | − | 2.06920i | 1.67284 | − | 0.284227i | 0.747750 | − | 0.663981i | \(-0.231134\pi\) |
0.925088 | + | 0.379754i | \(0.123991\pi\) | |||||||
\(54\) | −13.8393 | − | 1.16733i | −1.88329 | − | 0.158854i | ||||
\(55\) | −3.41588 | − | 9.76202i | −0.460597 | − | 1.31631i | ||||
\(56\) | −1.64889 | + | 0.0462634i | −0.220342 | + | 0.00618220i | ||||
\(57\) | 0.276871 | − | 0.163322i | 0.0366724 | − | 0.0216325i | ||||
\(58\) | −1.03433 | + | 1.22490i | −0.135815 | + | 0.160837i | ||||
\(59\) | −4.75216 | + | 6.69754i | −0.618678 | + | 0.871945i | −0.998590 | − | 0.0530773i | \(-0.983097\pi\) |
0.379912 | + | 0.925023i | \(0.375954\pi\) | |||||||
\(60\) | 14.3109 | + | 10.1541i | 1.84753 | + | 1.31089i | ||||
\(61\) | 6.03689 | + | 8.02162i | 0.772945 | + | 1.02706i | 0.998602 | + | 0.0528569i | \(0.0168327\pi\) |
−0.225657 | + | 0.974207i | \(0.572453\pi\) | |||||||
\(62\) | −9.63843 | + | 0.812992i | −1.22408 | + | 0.103250i | ||||
\(63\) | 0.255108 | + | 0.302109i | 0.0321406 | + | 0.0380622i | ||||
\(64\) | 5.69571 | + | 1.99302i | 0.711964 | + | 0.249127i | ||||
\(65\) | 18.6339 | + | 10.9919i | 2.31125 | + | 1.36337i | ||||
\(66\) | 2.58883 | − | 8.98604i | 0.318664 | − | 1.10611i | ||||
\(67\) | 3.77071 | − | 3.00704i | 0.460665 | − | 0.367368i | −0.365486 | − | 0.930817i | \(-0.619097\pi\) |
0.826151 | + | 0.563449i | \(0.190526\pi\) | |||||||
\(68\) | 19.2388 | − | 3.75982i | 2.33305 | − | 0.455946i | ||||
\(69\) | 3.62705 | + | 0.827851i | 0.436646 | + | 0.0996616i | ||||
\(70\) | −0.326734 | − | 1.92302i | −0.0390522 | − | 0.229845i | ||||
\(71\) | −7.19815 | − | 2.29426i | −0.854263 | − | 0.272278i | −0.155680 | − | 0.987808i | \(-0.549757\pi\) |
−0.698583 | + | 0.715529i | \(0.746186\pi\) | |||||||
\(72\) | −4.05693 | − | 11.5940i | −0.478114 | − | 1.36637i | ||||
\(73\) | 0.374872 | + | 13.3609i | 0.0438754 | + | 1.56378i | 0.644724 | + | 0.764416i | \(0.276972\pi\) |
−0.600848 | + | 0.799363i | \(0.705170\pi\) | |||||||
\(74\) | 16.9771 | − | 10.0145i | 1.97354 | − | 1.16416i | ||||
\(75\) | −2.91692 | + | 5.64625i | −0.336817 | + | 0.651972i | ||||
\(76\) | 1.09995 | + | 0.780456i | 0.126173 | + | 0.0895244i | ||||
\(77\) | −0.640418 | + | 0.353946i | −0.0729824 | + | 0.0403359i | ||||
\(78\) | 7.98983 | + | 17.8555i | 0.904670 | + | 2.02174i | ||||
\(79\) | 5.80529 | + | 3.87897i | 0.653146 | + | 0.436418i | 0.837497 | − | 0.546442i | \(-0.184018\pi\) |
−0.184351 | + | 0.982860i | \(0.559018\pi\) | |||||||
\(80\) | −5.77932 | + | 29.0546i | −0.646148 | + | 3.24840i | ||||
\(81\) | 0.482947 | − | 0.768606i | 0.0536608 | − | 0.0854006i | ||||
\(82\) | −1.30931 | + | 4.10791i | −0.144589 | + | 0.453643i | ||||
\(83\) | −4.98861 | + | 5.58225i | −0.547571 | + | 0.612732i | −0.953581 | − | 0.301137i | \(-0.902634\pi\) |
0.406010 | + | 0.913869i | \(0.366920\pi\) | |||||||
\(84\) | 0.538650 | − | 1.11852i | 0.0587715 | − | 0.122040i | ||||
\(85\) | 4.39284 | + | 12.6904i | 0.476471 | + | 1.37646i | ||||
\(86\) | 0.571732 | − | 17.0326i | 0.0616515 | − | 1.83668i | ||||
\(87\) | −0.267501 | − | 0.645804i | −0.0286791 | − | 0.0692375i | ||||
\(88\) | 22.5075 | − | 3.17753i | 2.39930 | − | 0.338725i | ||||
\(89\) | −3.41613 | − | 1.19536i | −0.362109 | − | 0.126708i | 0.143091 | − | 0.989710i | \(-0.454296\pi\) |
−0.505201 | + | 0.863002i | \(0.668581\pi\) | |||||||
\(90\) | 12.9047 | − | 6.66674i | 1.36028 | − | 0.702737i | ||||
\(91\) | 0.545851 | − | 1.42998i | 0.0572208 | − | 0.149902i | ||||
\(92\) | 3.04521 | + | 15.3093i | 0.317485 | + | 1.59610i | ||||
\(93\) | 1.61393 | − | 3.89638i | 0.167357 | − | 0.404036i | ||||
\(94\) | 2.30559 | − | 13.5697i | 0.237804 | − | 1.39961i | ||||
\(95\) | −0.424075 | + | 0.820878i | −0.0435092 | + | 0.0842203i | ||||
\(96\) | −7.67528 | + | 7.25634i | −0.783355 | + | 0.740597i | ||||
\(97\) | 14.1080 | − | 11.9131i | 1.43245 | − | 1.20960i | 0.491576 | − | 0.870835i | \(-0.336421\pi\) |
0.940873 | − | 0.338761i | \(-0.110008\pi\) | |||||||
\(98\) | 17.0413 | − | 5.96300i | 1.72143 | − | 0.602354i | ||||
\(99\) | −3.95941 | − | 3.74329i | −0.397935 | − | 0.376215i | ||||
\(100\) | −26.6223 | − | 1.49508i | −2.66223 | − | 0.149508i | ||||
\(101\) | 7.28714 | − | 5.81130i | 0.725098 | − | 0.578246i | −0.189853 | − | 0.981813i | \(-0.560801\pi\) |
0.914950 | + | 0.403567i | \(0.132230\pi\) | |||||||
\(102\) | −3.40059 | + | 11.6566i | −0.336709 | + | 1.15418i | ||||
\(103\) | −2.35911 | + | 10.3359i | −0.232450 | + | 1.01843i | 0.715150 | + | 0.698971i | \(0.246358\pi\) |
−0.947600 | + | 0.319459i | \(0.896499\pi\) | |||||||
\(104\) | −31.6836 | + | 35.4540i | −3.10683 | + | 3.47655i | ||||
\(105\) | 0.810317 | + | 0.258271i | 0.0790788 | + | 0.0252047i | ||||
\(106\) | −31.9025 | + | 3.59455i | −3.09864 | + | 0.349133i | ||||
\(107\) | 0.234526 | + | 0.909181i | 0.0226724 | + | 0.0878938i | 0.978642 | − | 0.205572i | \(-0.0659055\pi\) |
−0.955970 | + | 0.293466i | \(0.905191\pi\) | |||||||
\(108\) | 25.1576 | + | 3.55166i | 2.42079 | + | 0.341759i | ||||
\(109\) | 3.16560 | + | 1.63539i | 0.303209 | + | 0.156642i | 0.603855 | − | 0.797094i | \(-0.293631\pi\) |
−0.300646 | + | 0.953736i | \(0.597202\pi\) | |||||||
\(110\) | 7.44107 | + | 25.8285i | 0.709478 | + | 2.46265i | ||||
\(111\) | 0.481877 | + | 8.58062i | 0.0457378 | + | 0.814436i | ||||
\(112\) | 2.09505 | + | 0.0587813i | 0.197963 | + | 0.00555431i | ||||
\(113\) | 1.59279 | + | 1.68474i | 0.149837 | + | 0.158487i | 0.797245 | − | 0.603656i | \(-0.206290\pi\) |
−0.647408 | + | 0.762143i | \(0.724147\pi\) | |||||||
\(114\) | −0.742232 | + | 0.383446i | −0.0695164 | + | 0.0359130i | ||||
\(115\) | −10.0932 | + | 3.53178i | −0.941200 | + | 0.329340i | ||||
\(116\) | 2.01484 | − | 2.13116i | 0.187073 | − | 0.197874i | ||||
\(117\) | 11.3799 | + | 0.639080i | 1.05207 | + | 0.0590830i | ||||
\(118\) | 13.3070 | − | 16.6865i | 1.22501 | − | 1.53611i | ||||
\(119\) | 0.833091 | − | 0.456793i | 0.0763693 | − | 0.0418742i | ||||
\(120\) | −20.6559 | − | 16.4726i | −1.88562 | − | 1.50373i | ||||
\(121\) | −0.747784 | + | 0.530581i | −0.0679804 | + | 0.0482347i | ||||
\(122\) | −14.4958 | − | 21.6944i | −1.31239 | − | 1.96412i | ||||
\(123\) | −1.32928 | − | 1.32928i | −0.119857 | − | 0.119857i | ||||
\(124\) | 17.6879 | − | 0.496274i | 1.58842 | − | 0.0445667i | ||||
\(125\) | −0.166543 | − | 1.97445i | −0.0148960 | − | 0.176600i | ||||
\(126\) | −0.617938 | − | 0.821096i | −0.0550503 | − | 0.0731491i | ||||
\(127\) | −14.6586 | − | 16.4030i | −1.30074 | − | 1.45553i | −0.812667 | − | 0.582728i | \(-0.801985\pi\) |
−0.488074 | − | 0.872802i | \(-0.662300\pi\) | |||||||
\(128\) | 2.73430 | + | 1.13258i | 0.241680 | + | 0.100107i | ||||
\(129\) | 6.48360 | + | 3.63009i | 0.570849 | + | 0.319612i | ||||
\(130\) | −46.7501 | − | 31.2374i | −4.10025 | − | 2.73970i | ||||
\(131\) | 1.99874 | − | 2.65586i | 0.174631 | − | 0.232044i | −0.703227 | − | 0.710966i | \(-0.748258\pi\) |
0.877857 | + | 0.478922i | \(0.158972\pi\) | |||||||
\(132\) | −5.65020 | + | 16.1474i | −0.491787 | + | 1.40545i | ||||
\(133\) | 0.0622818 | + | 0.0198510i | 0.00540052 | + | 0.00172130i | ||||
\(134\) | −10.2225 | + | 7.25328i | −0.883093 | + | 0.626588i | ||||
\(135\) | 17.4054i | 1.49802i | ||||||||
\(136\) | −29.2386 | + | 4.02786i | −2.50719 | + | 0.345386i | ||||
\(137\) | 5.34020 | − | 1.21887i | 0.456244 | − | 0.104135i | 0.0117784 | − | 0.999931i | \(-0.496251\pi\) |
0.444466 | + | 0.895796i | \(0.353394\pi\) | |||||||
\(138\) | −9.29094 | − | 2.67667i | −0.790898 | − | 0.227854i | ||||
\(139\) | 16.1923 | − | 6.18093i | 1.37341 | − | 0.524260i | 0.444908 | − | 0.895576i | \(-0.353236\pi\) |
0.928506 | + | 0.371316i | \(0.121093\pi\) | |||||||
\(140\) | 0.399526 | + | 3.54589i | 0.0337661 | + | 0.299682i | ||||
\(141\) | 4.79517 | + | 3.60874i | 0.403827 | + | 0.303911i | ||||
\(142\) | 18.3436 | + | 7.00213i | 1.53936 | + | 0.587606i | ||||
\(143\) | −5.26827 | + | 20.4234i | −0.440555 | + | 1.70789i | ||||
\(144\) | 4.32056 | + | 14.9970i | 0.360047 | + | 1.24975i | ||||
\(145\) | 1.63860 | + | 1.16265i | 0.136078 | + | 0.0965527i | ||||
\(146\) | 0.974260 | − | 34.7240i | 0.0806303 | − | 2.87377i | ||||
\(147\) | −1.10043 | + | 7.79469i | −0.0907617 | + | 0.642895i | ||||
\(148\) | −32.0356 | + | 16.5500i | −2.63331 | + | 1.36040i | ||||
\(149\) | −1.43729 | − | 12.7563i | −0.117747 | − | 1.04503i | −0.904119 | − | 0.427281i | \(-0.859471\pi\) |
0.786372 | − | 0.617754i | \(-0.211957\pi\) | |||||||
\(150\) | 8.39169 | − | 14.2260i | 0.685179 | − | 1.16155i | ||||
\(151\) | −9.15241 | − | 8.17910i | −0.744813 | − | 0.665606i | 0.204880 | − | 0.978787i | \(-0.434319\pi\) |
−0.949693 | + | 0.313182i | \(0.898605\pi\) | |||||||
\(152\) | −1.58764 | − | 1.26610i | −0.128774 | − | 0.102694i | ||||
\(153\) | 5.12479 | + | 4.87771i | 0.414315 | + | 0.394340i | ||||
\(154\) | 1.71335 | − | 0.825107i | 0.138066 | − | 0.0664890i | ||||
\(155\) | 2.03053 | + | 11.9508i | 0.163096 | + | 0.959913i | ||||
\(156\) | −12.7618 | − | 33.4324i | −1.02176 | − | 2.67674i | ||||
\(157\) | 0.704240 | − | 6.25030i | 0.0562045 | − | 0.498828i | −0.933800 | − | 0.357795i | \(-0.883529\pi\) |
0.990005 | − | 0.141034i | \(-0.0450426\pi\) | |||||||
\(158\) | −14.4985 | − | 10.9112i | −1.15344 | − | 0.868050i | ||||
\(159\) | 4.99197 | − | 13.0776i | 0.395889 | − | 1.03712i | ||||
\(160\) | 7.58308 | − | 29.3972i | 0.599495 | − | 2.32405i | ||||
\(161\) | 0.365956 | + | 0.662147i | 0.0288414 | + | 0.0521845i | ||||
\(162\) | −1.36517 | + | 1.92402i | −0.107258 | + | 0.151166i | ||||
\(163\) | 11.0872 | + | 5.72776i | 0.868413 | + | 0.448633i | 0.834639 | − | 0.550797i | \(-0.185676\pi\) |
0.0337735 | + | 0.999430i | \(0.489248\pi\) | |||||||
\(164\) | 2.81280 | − | 7.36876i | 0.219643 | − | 0.575403i | ||||
\(165\) | −11.4944 | − | 2.28639i | −0.894842 | − | 0.177995i | ||||
\(166\) | 13.7580 | − | 13.7580i | 1.06783 | − | 1.06783i | ||||
\(167\) | −7.97253 | − | 7.53737i | −0.616933 | − | 0.583259i | 0.313560 | − | 0.949568i | \(-0.398478\pi\) |
−0.930493 | + | 0.366309i | \(0.880621\pi\) | |||||||
\(168\) | −0.904166 | + | 1.63597i | −0.0697579 | + | 0.126217i | ||||
\(169\) | −13.5026 | − | 28.0385i | −1.03866 | − | 2.15681i | ||||
\(170\) | −9.54940 | − | 33.5694i | −0.732406 | − | 2.57466i | ||||
\(171\) | 0.486772i | 0.0372244i | ||||||||
\(172\) | −2.79136 | + | 31.0513i | −0.212839 | + | 2.36764i | ||||
\(173\) | −2.11297 | − | 3.16228i | −0.160646 | − | 0.240424i | 0.742411 | − | 0.669945i | \(-0.233682\pi\) |
−0.903057 | + | 0.429521i | \(0.858682\pi\) | |||||||
\(174\) | 0.600011 | + | 1.71473i | 0.0454867 | + | 0.129993i | ||||
\(175\) | −1.25140 | + | 0.322801i | −0.0945967 | + | 0.0244015i | ||||
\(176\) | −28.7789 | + | 2.42747i | −2.16929 | + | 0.182978i | ||||
\(177\) | 3.80088 | + | 8.49414i | 0.285692 | + | 0.638459i | ||||
\(178\) | 8.69009 | + | 3.59955i | 0.651350 | + | 0.269798i | ||||
\(179\) | −17.7821 | − | 7.36557i | −1.32909 | − | 0.550529i | −0.398697 | − | 0.917083i | \(-0.630537\pi\) |
−0.930397 | + | 0.366554i | \(0.880537\pi\) | |||||||
\(180\) | −24.2542 | + | 10.8530i | −1.80780 | + | 0.808938i | ||||
\(181\) | 3.41778 | − | 1.08934i | 0.254042 | − | 0.0809703i | −0.173945 | − | 0.984755i | \(-0.555652\pi\) |
0.427987 | + | 0.903785i | \(0.359223\pi\) | |||||||
\(182\) | −1.62477 | + | 3.63101i | −0.120436 | + | 0.269148i | ||||
\(183\) | 11.3048 | − | 1.27375i | 0.835676 | − | 0.0941580i | ||||
\(184\) | −3.28534 | − | 23.2711i | −0.242198 | − | 1.71557i | ||||
\(185\) | −14.2944 | − | 20.1461i | −1.05094 | − | 1.48117i | ||||
\(186\) | −4.75567 | + | 9.87526i | −0.348703 | + | 0.724089i | ||||
\(187\) | −10.7030 | + | 7.54039i | −0.782685 | + | 0.551408i | ||||
\(188\) | −5.60303 | + | 24.5485i | −0.408643 | + | 1.79038i | ||||
\(189\) | 1.21403 | − | 0.206272i | 0.0883075 | − | 0.0150041i | ||||
\(190\) | 1.22002 | − | 2.06824i | 0.0885098 | − | 0.150046i | ||||
\(191\) | −1.17542 | + | 10.4322i | −0.0850507 | + | 0.754845i | 0.876722 | + | 0.480997i | \(0.159725\pi\) |
−0.961773 | + | 0.273848i | \(0.911703\pi\) | |||||||
\(192\) | 5.22441 | − | 4.41162i | 0.377039 | − | 0.318381i | ||||
\(193\) | 3.21251 | − | 22.7552i | 0.231241 | − | 1.63796i | −0.440915 | − | 0.897549i | \(-0.645346\pi\) |
0.672157 | − | 0.740409i | \(-0.265368\pi\) | |||||||
\(194\) | −38.3438 | + | 28.8567i | −2.75293 | + | 2.07179i | ||||
\(195\) | 21.4563 | − | 11.8585i | 1.53652 | − | 0.849205i | ||||
\(196\) | −31.7373 | + | 9.14336i | −2.26695 | + | 0.653097i | ||||
\(197\) | −11.4447 | + | 8.61304i | −0.815403 | + | 0.613654i | −0.924847 | − | 0.380339i | \(-0.875807\pi\) |
0.109444 | + | 0.993993i | \(0.465093\pi\) | |||||||
\(198\) | 9.72850 | + | 10.2902i | 0.691375 | + | 0.731291i | ||||
\(199\) | −4.49238 | − | 2.01021i | −0.318457 | − | 0.142500i | 0.242953 | − | 0.970038i | \(-0.421884\pi\) |
−0.561410 | + | 0.827538i | \(0.689741\pi\) | |||||||
\(200\) | 39.8943 | + | 4.49501i | 2.82096 | + | 0.317845i | ||||
\(201\) | −0.763976 | − | 5.41150i | −0.0538867 | − | 0.381698i | ||||
\(202\) | −19.7557 | + | 14.0174i | −1.39001 | + | 0.986263i | ||||
\(203\) | 0.0616756 | − | 0.128071i | 0.00432878 | − | 0.00898880i | ||||
\(204\) | 7.40680 | − | 20.9419i | 0.518580 | − | 1.46623i | ||||
\(205\) | 5.26787 | + | 1.20236i | 0.367924 | + | 0.0839763i | ||||
\(206\) | 7.62766 | − | 26.4762i | 0.531444 | − | 1.84468i | ||||
\(207\) | −3.87030 | + | 4.09375i | −0.269005 | + | 0.284535i | ||||
\(208\) | 42.7190 | − | 42.7190i | 2.96203 | − | 2.96203i | ||||
\(209\) | −0.883476 | − | 0.175734i | −0.0611113 | − | 0.0121558i | ||||
\(210\) | −2.06500 | − | 0.788251i | −0.142498 | − | 0.0543945i | ||||
\(211\) | 16.7783 | + | 14.1680i | 1.15506 | + | 0.975363i | 0.999922 | − | 0.0125292i | \(-0.00398827\pi\) |
0.155141 | + | 0.987892i | \(0.450417\pi\) | |||||||
\(212\) | 58.6382 | − | 3.29305i | 4.02729 | − | 0.226168i | ||||
\(213\) | −6.38342 | + | 5.70458i | −0.437385 | + | 0.390871i | ||||
\(214\) | −0.476066 | − | 2.39334i | −0.0325432 | − | 0.163606i | ||||
\(215\) | −21.3306 | + | 1.08015i | −1.45473 | + | 0.0736659i | ||||
\(216\) | −37.5189 | − | 7.46297i | −2.55284 | − | 0.507791i | ||||
\(217\) | 0.809504 | − | 0.283258i | 0.0549527 | − | 0.0192288i | ||||
\(218\) | −7.97587 | − | 4.70485i | −0.540194 | − | 0.318652i | ||||
\(219\) | 13.2562 | + | 7.32645i | 0.895772 | + | 0.495076i | ||||
\(220\) | −10.9417 | − | 47.9388i | −0.737690 | − | 3.23203i | ||||
\(221\) | 6.92950 | − | 26.4958i | 0.466129 | − | 1.78230i | ||||
\(222\) | − | 22.3355i | − | 1.49906i | ||||||
\(223\) | 0.147204 | + | 0.207465i | 0.00985750 | + | 0.0138929i | 0.820460 | − | 0.571704i | \(-0.193717\pi\) |
−0.810603 | + | 0.585597i | \(0.800860\pi\) | |||||||
\(224\) | −2.14032 | − | 0.180534i | −0.143006 | − | 0.0120624i | ||||
\(225\) | −5.12006 | − | 8.14854i | −0.341338 | − | 0.543236i | ||||
\(226\) | −3.88750 | − | 4.60373i | −0.258593 | − | 0.306235i | ||||
\(227\) | −4.80615 | − | 8.14761i | −0.318995 | − | 0.540776i | 0.658274 | − | 0.752779i | \(-0.271287\pi\) |
−0.977269 | + | 0.212003i | \(0.932001\pi\) | |||||||
\(228\) | 1.39501 | − | 0.624227i | 0.0923867 | − | 0.0413404i | ||||
\(229\) | 17.1340 | + | 19.1730i | 1.13225 | + | 1.26699i | 0.959404 | + | 0.282036i | \(0.0910097\pi\) |
0.172843 | + | 0.984949i | \(0.444705\pi\) | |||||||
\(230\) | 26.7049 | − | 7.69355i | 1.76087 | − | 0.507298i | ||||
\(231\) | −0.0232548 | + | 0.828832i | −0.00153005 | + | 0.0545332i | ||||
\(232\) | −3.20877 | + | 3.03363i | −0.210666 | + | 0.199167i | ||||
\(233\) | 2.40048 | + | 9.30590i | 0.157261 | + | 0.609650i | 0.997702 | + | 0.0677479i | \(0.0215814\pi\) |
−0.840442 | + | 0.541902i | \(0.817704\pi\) | |||||||
\(234\) | −29.4357 | − | 3.31661i | −1.92427 | − | 0.216813i | ||||
\(235\) | −17.1887 | − | 1.44985i | −1.12127 | − | 0.0945779i | ||||
\(236\) | −26.0167 | + | 29.1127i | −1.69354 | + | 1.89507i | ||||
\(237\) | 7.12820 | − | 3.43276i | 0.463026 | − | 0.222982i | ||||
\(238\) | −2.22829 | + | 1.06390i | −0.144439 | + | 0.0689624i | ||||
\(239\) | 0.196873 | + | 0.246871i | 0.0127346 | + | 0.0159687i | 0.788158 | − | 0.615473i | \(-0.211035\pi\) |
−0.775423 | + | 0.631442i | \(0.782464\pi\) | |||||||
\(240\) | 25.0302 | + | 22.3684i | 1.61569 | + | 1.44387i | ||||
\(241\) | 2.66995 | + | 6.99451i | 0.171986 | + | 0.450556i | 0.992674 | − | 0.120820i | \(-0.0385525\pi\) |
−0.820688 | + | 0.571376i | \(0.806410\pi\) | |||||||
\(242\) | 2.01769 | − | 1.26780i | 0.129702 | − | 0.0814972i | ||||
\(243\) | 6.88619 | + | 13.3295i | 0.441749 | + | 0.855089i | ||||
\(244\) | 24.2511 | + | 41.1115i | 1.55252 | + | 2.63190i | ||||
\(245\) | −9.24162 | − | 20.6530i | −0.590425 | − | 1.31947i | ||||
\(246\) | 3.25555 | + | 3.64296i | 0.207566 | + | 0.232267i | ||||
\(247\) | 1.64916 | − | 0.911457i | 0.104933 | − | 0.0579946i | ||||
\(248\) | −26.6316 | − | 0.747211i | −1.69111 | − | 0.0474479i | ||||
\(249\) | 2.57622 | + | 8.08281i | 0.163262 | + | 0.512227i | ||||
\(250\) | 0.144428 | + | 5.14763i | 0.00913446 | + | 0.325565i | ||||
\(251\) | −2.48734 | − | 2.48734i | −0.156999 | − | 0.156999i | 0.624236 | − | 0.781236i | \(-0.285410\pi\) |
−0.781236 | + | 0.624236i | \(0.785410\pi\) | |||||||
\(252\) | 1.04443 | + | 1.56311i | 0.0657932 | + | 0.0984664i | ||||
\(253\) | −6.03278 | − | 8.50241i | −0.379278 | − | 0.534542i | ||||
\(254\) | 35.6463 | + | 44.6990i | 2.23665 | + | 2.80467i | ||||
\(255\) | 14.9150 | + | 3.01880i | 0.934014 | + | 0.189045i | ||||
\(256\) | −17.8035 | − | 8.57371i | −1.11272 | − | 0.535857i | ||||
\(257\) | 10.3108 | − | 4.27085i | 0.643167 | − | 0.266409i | −0.0371688 | − | 0.999309i | \(-0.511834\pi\) |
0.680336 | + | 0.732900i | \(0.261834\pi\) | |||||||
\(258\) | −16.2948 | − | 10.3643i | −1.01447 | − | 0.645251i | ||||
\(259\) | −1.23578 | + | 1.23578i | −0.0767877 | + | 0.0767877i | ||||
\(260\) | 82.1843 | + | 61.8501i | 5.09686 | + | 3.83578i | ||||
\(261\) | 1.04811 | + | 0.147969i | 0.0648767 | + | 0.00915906i | ||||
\(262\) | −5.57341 | + | 6.60025i | −0.344326 | + | 0.407765i | ||||
\(263\) | −21.3104 | − | 3.62077i | −1.31405 | − | 0.223267i | −0.532141 | − | 0.846656i | \(-0.678612\pi\) |
−0.781912 | + | 0.623389i | \(0.785755\pi\) | |||||||
\(264\) | 9.85699 | − | 23.7969i | 0.606656 | − | 1.46460i | ||||
\(265\) | 7.84931 | + | 39.4611i | 0.482179 | + | 2.42408i | ||||
\(266\) | −0.158718 | − | 0.0605858i | −0.00973162 | − | 0.00371475i | ||||
\(267\) | −3.13346 | + | 2.64597i | −0.191765 | + | 0.161931i | ||||
\(268\) | 19.4153 | − | 12.1995i | 1.18598 | − | 0.745201i | ||||
\(269\) | −1.88982 | + | 22.4047i | −0.115224 | + | 1.36604i | 0.667935 | + | 0.744220i | \(0.267178\pi\) |
−0.783159 | + | 0.621821i | \(0.786393\pi\) | |||||||
\(270\) | 2.53636 | − | 45.1642i | 0.154358 | − | 2.74860i | ||||
\(271\) | −19.4325 | + | 4.43533i | −1.18044 | + | 0.269427i | −0.767328 | − | 0.641254i | \(-0.778414\pi\) |
−0.413109 | + | 0.910682i | \(0.635557\pi\) | |||||||
\(272\) | 37.3785 | − | 3.02665i | 2.26641 | − | 0.183518i | ||||
\(273\) | −1.08141 | − | 1.35604i | −0.0654497 | − | 0.0820714i | ||||
\(274\) | −14.0345 | + | 2.38456i | −0.847856 | + | 0.144057i | ||||
\(275\) | 16.6378 | − | 6.35098i | 1.00330 | − | 0.382978i | ||||
\(276\) | 16.6952 | + | 5.84192i | 1.00494 | + | 0.351642i | ||||
\(277\) | 1.33145 | + | 2.57728i | 0.0799993 | + | 0.154854i | 0.925065 | − | 0.379809i | \(-0.124010\pi\) |
−0.845066 | + | 0.534662i | \(0.820439\pi\) | |||||||
\(278\) | −42.9170 | + | 13.6789i | −2.57399 | + | 0.820405i | ||||
\(279\) | 3.84024 | + | 5.10279i | 0.229909 | + | 0.305496i | ||||
\(280\) | −0.301245 | − | 5.36417i | −0.0180029 | − | 0.320571i | ||||
\(281\) | −11.3909 | − | 20.6103i | −0.679524 | − | 1.22951i | −0.962735 | − | 0.270448i | \(-0.912828\pi\) |
0.283211 | − | 0.959058i | \(-0.408600\pi\) | |||||||
\(282\) | −11.9168 | − | 10.0628i | −0.709634 | − | 0.599232i | ||||
\(283\) | −4.19238 | − | 0.591865i | −0.249211 | − | 0.0351827i | 0.0140736 | − | 0.999901i | \(-0.495520\pi\) |
−0.263285 | + | 0.964718i | \(0.584806\pi\) | |||||||
\(284\) | −32.7862 | − | 14.6709i | −1.94550 | − | 0.870556i | ||||
\(285\) | 0.557030 | + | 0.886508i | 0.0329956 | + | 0.0525122i | ||||
\(286\) | 16.6464 | − | 52.2275i | 0.984323 | − | 3.08828i | ||||
\(287\) | 0.0214348 | − | 0.381682i | 0.00126526 | − | 0.0225300i | ||||
\(288\) | −3.55912 | − | 15.5935i | −0.209723 | − | 0.918857i | ||||
\(289\) | 13.9302 | − | 9.74421i | 0.819423 | − | 0.573189i | ||||
\(290\) | −4.08246 | − | 3.25566i | −0.239730 | − | 0.191179i | ||||
\(291\) | −3.50489 | − | 20.6283i | −0.205460 | − | 1.20925i | ||||
\(292\) | −5.34123 | + | 63.3230i | −0.312572 | + | 3.70570i | ||||
\(293\) | 18.4489 | + | 11.5922i | 1.07780 | + | 0.677225i | 0.949264 | − | 0.314480i | \(-0.101830\pi\) |
0.128534 | + | 0.991705i | \(0.458973\pi\) | |||||||
\(294\) | 3.99128 | − | 20.0655i | 0.232776 | − | 1.17024i | ||||
\(295\) | −22.2397 | − | 14.8601i | −1.29485 | − | 0.865189i | ||||
\(296\) | 49.5555 | − | 22.1747i | 2.88035 | − | 1.28888i | ||||
\(297\) | −16.3059 | + | 4.69764i | −0.946163 | + | 0.272585i | ||||
\(298\) | 1.87064 | + | 33.3098i | 0.108363 | + | 1.92958i | ||||
\(299\) | 21.1164 | + | 5.44703i | 1.22119 | + | 0.315010i | ||||
\(300\) | −16.7865 | + | 25.1228i | −0.969171 | + | 1.45047i | ||||
\(301\) | 0.328129 | + | 1.47500i | 0.0189130 | + | 0.0850177i | ||||
\(302\) | 22.5571 | + | 22.5571i | 1.29801 | + | 1.29801i | ||||
\(303\) | −1.47643 | − | 10.4581i | −0.0848189 | − | 0.600800i | ||||
\(304\) | 1.92385 | + | 1.71926i | 0.110340 | + | 0.0986061i | ||||
\(305\) | −25.5651 | + | 20.3875i | −1.46385 | + | 1.16738i | ||||
\(306\) | −12.5872 | − | 13.4036i | −0.719560 | − | 0.766234i | ||||
\(307\) | 0.739158 | 0.0421860 | 0.0210930 | − | 0.999778i | \(-0.493285\pi\) | ||||
0.0210930 | + | 0.999778i | \(0.493285\pi\) | |||||||
\(308\) | −3.21405 | + | 1.33130i | −0.183138 | + | 0.0758581i | ||||
\(309\) | 8.72974 | + | 8.25325i | 0.496618 | + | 0.469511i | ||||
\(310\) | −3.52736 | − | 31.3062i | −0.200341 | − | 1.77807i | ||||
\(311\) | 3.48817 | + | 1.56086i | 0.197796 | + | 0.0885080i | 0.504938 | − | 0.863156i | \(-0.331515\pi\) |
−0.307142 | + | 0.951664i | \(0.599373\pi\) | |||||||
\(312\) | 16.3621 | + | 51.3355i | 0.926321 | + | 2.90630i | ||||
\(313\) | 7.84110 | + | 2.02263i | 0.443205 | + | 0.114326i | 0.464750 | − | 0.885442i | \(-0.346144\pi\) |
−0.0215450 | + | 0.999768i | \(0.506859\pi\) | |||||||
\(314\) | −2.73819 | + | 16.1158i | −0.154525 | + | 0.909469i | ||||
\(315\) | −0.960293 | + | 0.858170i | −0.0541064 | + | 0.0483524i | ||||
\(316\) | 25.3621 | + | 21.4164i | 1.42673 | + | 1.20476i | ||||
\(317\) | 11.8290 | − | 11.1833i | 0.664383 | − | 0.628119i | −0.278817 | − | 0.960344i | \(-0.589942\pi\) |
0.943200 | + | 0.332225i | \(0.107799\pi\) | |||||||
\(318\) | −14.8590 | + | 33.2066i | −0.833252 | + | 1.86213i | ||||
\(319\) | −0.646950 | + | 1.84888i | −0.0362222 | + | 0.103517i | ||||
\(320\) | −5.96850 | + | 18.7260i | −0.333649 | + | 1.04681i | ||||
\(321\) | 1.02239 | + | 0.294546i | 0.0570644 | + | 0.0164400i | ||||
\(322\) | −0.853103 | − | 1.77149i | −0.0475416 | − | 0.0987211i | ||||
\(323\) | 1.14638 | + | 0.232028i | 0.0637864 | + | 0.0129104i | ||||
\(324\) | 2.69082 | − | 3.37418i | 0.149490 | − | 0.187454i | ||||
\(325\) | −18.0197 | + | 32.6043i | −0.999555 | + | 1.80856i | ||||
\(326\) | −27.9346 | − | 16.4782i | −1.54715 | − | 0.912643i | ||||
\(327\) | 3.41869 | − | 2.14811i | 0.189054 | − | 0.118790i | ||||
\(328\) | −4.85050 | + | 10.8398i | −0.267824 | + | 0.598527i | ||||
\(329\) | 0.102576 | + | 1.21609i | 0.00565521 | + | 0.0670454i | ||||
\(330\) | 29.4929 | + | 7.60778i | 1.62353 | + | 0.418795i | ||||
\(331\) | −21.8505 | − | 3.71255i | −1.20101 | − | 0.204060i | −0.467659 | − | 0.883909i | \(-0.654903\pi\) |
−0.733352 | + | 0.679849i | \(0.762045\pi\) | |||||||
\(332\) | −26.5401 | + | 23.7177i | −1.45658 | + | 1.30168i | ||||
\(333\) | −11.5622 | − | 5.97319i | −0.633607 | − | 0.327329i | ||||
\(334\) | 19.5890 | + | 20.7200i | 1.07186 | + | 1.13375i | ||||
\(335\) | 10.1347 | + | 12.0019i | 0.553716 | + | 0.655732i | ||||
\(336\) | 1.26356 | − | 2.01094i | 0.0689327 | − | 0.109706i | ||||
\(337\) | 12.5677 | − | 8.39750i | 0.684609 | − | 0.457441i | −0.164001 | − | 0.986460i | \(-0.552440\pi\) |
0.848610 | + | 0.529019i | \(0.177440\pi\) | |||||||
\(338\) | 30.9511 | + | 74.7226i | 1.68352 | + | 4.06438i | ||||
\(339\) | 2.56135 | − | 0.584610i | 0.139113 | − | 0.0317517i | ||||
\(340\) | 13.9985 | + | 62.2937i | 0.759177 | + | 3.37835i | ||||
\(341\) | −10.6478 | + | 5.12771i | −0.576611 | + | 0.277681i | ||||
\(342\) | 0.0709335 | − | 1.26309i | 0.00383565 | − | 0.0683000i | ||||
\(343\) | −2.67222 | + | 1.78552i | −0.144286 | + | 0.0964089i | ||||
\(344\) | 6.81759 | − | 46.4429i | 0.367580 | − | 2.50403i | ||||
\(345\) | −2.36397 | + | 11.8845i | −0.127272 | + | 0.639838i | ||||
\(346\) | 5.02197 | + | 8.51348i | 0.269983 | + | 0.457688i | ||||
\(347\) | 5.07385 | − | 3.81847i | 0.272379 | − | 0.204986i | −0.456329 | − | 0.889811i | \(-0.650836\pi\) |
0.728707 | + | 0.684825i | \(0.240122\pi\) | |||||||
\(348\) | −0.920026 | − | 3.19348i | −0.0493186 | − | 0.171189i | ||||
\(349\) | −3.29599 | + | 19.3988i | −0.176430 | + | 1.03839i | 0.749863 | + | 0.661593i | \(0.230119\pi\) |
−0.926294 | + | 0.376802i | \(0.877024\pi\) | |||||||
\(350\) | 3.29420 | − | 0.655257i | 0.176082 | − | 0.0350249i | ||||
\(351\) | 19.7206 | − | 29.5139i | 1.05261 | − | 1.57534i | ||||
\(352\) | 29.5867 | − | 0.830122i | 1.57698 | − | 0.0442457i | ||||
\(353\) | 20.7765 | − | 2.34095i | 1.10582 | − | 0.124596i | 0.459878 | − | 0.887982i | \(-0.347893\pi\) |
0.645942 | + | 0.763386i | \(0.276465\pi\) | |||||||
\(354\) | −8.62485 | − | 22.5947i | −0.458406 | − | 1.20090i | ||||
\(355\) | 6.81202 | − | 23.6451i | 0.361545 | − | 1.25495i | ||||
\(356\) | −15.5031 | − | 7.46591i | −0.821664 | − | 0.395693i | ||||
\(357\) | 0.0338037 | − | 1.07610i | 0.00178908 | − | 0.0569530i | ||||
\(358\) | 45.0681 | + | 21.7036i | 2.38192 | + | 1.14707i | ||||
\(359\) | 10.2115 | − | 18.4763i | 0.538942 | − | 0.975142i | −0.457365 | − | 0.889279i | \(-0.651207\pi\) |
0.996307 | − | 0.0858631i | \(-0.0273648\pi\) | |||||||
\(360\) | 37.3769 | − | 14.2675i | 1.96994 | − | 0.751964i | ||||
\(361\) | −10.0658 | − | 16.0196i | −0.529779 | − | 0.843138i | ||||
\(362\) | −9.02730 | + | 2.32862i | −0.474464 | + | 0.122389i | ||||
\(363\) | 0.0873279 | + | 1.03532i | 0.00458353 | + | 0.0543401i | ||||
\(364\) | 3.34007 | − | 6.46533i | 0.175067 | − | 0.338875i | ||||
\(365\) | −43.4658 | + | 2.44099i | −2.27511 | + | 0.127767i | ||||
\(366\) | −29.5197 | + | 1.65779i | −1.54302 | + | 0.0866540i | ||||
\(367\) | 14.3628 | − | 27.8018i | 0.749730 | − | 1.45124i | −0.137784 | − | 0.990462i | \(-0.543998\pi\) |
0.887514 | − | 0.460781i | \(-0.152431\pi\) | |||||||
\(368\) | 2.50984 | + | 29.7554i | 0.130834 | + | 1.55111i | ||||
\(369\) | 2.75646 | − | 0.711036i | 0.143496 | − | 0.0370151i | ||||
\(370\) | 34.1557 | + | 54.3586i | 1.77567 | + | 2.82597i | ||||
\(371\) | 2.65939 | − | 1.01514i | 0.138069 | − | 0.0527035i | ||||
\(372\) | 9.69912 | − | 17.5492i | 0.502876 | − | 0.909885i | ||||
\(373\) | 4.82369 | + | 2.32297i | 0.249761 | + | 0.120279i | 0.554576 | − | 0.832133i | \(-0.312880\pi\) |
−0.304815 | + | 0.952412i | \(0.598595\pi\) | |||||||
\(374\) | 28.8714 | − | 18.0063i | 1.49290 | − | 0.931086i | ||||
\(375\) | −2.02296 | − | 0.974208i | −0.104465 | − | 0.0503079i | ||||
\(376\) | 10.4953 | − | 36.4301i | 0.541255 | − | 1.87874i | ||||
\(377\) | −1.46123 | − | 3.82802i | −0.0752573 | − | 0.197153i | ||||
\(378\) | −3.18025 | + | 0.358328i | −0.163575 | + | 0.0184304i | ||||
\(379\) | −33.2522 | + | 0.932966i | −1.70805 | + | 0.0479233i | −0.868600 | − | 0.495514i | \(-0.834980\pi\) |
−0.839450 | + | 0.543437i | \(0.817123\pi\) | |||||||
\(380\) | −2.44050 | + | 3.65247i | −0.125195 | + | 0.187368i | ||||
\(381\) | −24.4489 | + | 4.86319i | −1.25256 | + | 0.249149i | ||||
\(382\) | 4.57022 | − | 26.8984i | 0.233833 | − | 1.37624i | ||||
\(383\) | −6.75152 | − | 23.4351i | −0.344987 | − | 1.19748i | −0.924075 | − | 0.382211i | \(-0.875163\pi\) |
0.579089 | − | 0.815265i | \(-0.303409\pi\) | |||||||
\(384\) | 2.67964 | − | 2.01664i | 0.136745 | − | 0.102911i | ||||
\(385\) | −1.21087 | − | 2.05272i | −0.0617115 | − | 0.104616i | ||||
\(386\) | −11.6518 | + | 58.5778i | −0.593064 | + | 2.98153i | ||||
\(387\) | −9.72295 | + | 5.66351i | −0.494245 | + | 0.287893i | ||||
\(388\) | 72.9944 | − | 48.7733i | 3.70573 | − | 2.47609i | ||||
\(389\) | −0.574808 | + | 10.2354i | −0.0291439 | + | 0.518955i | 0.949548 | + | 0.313621i | \(0.101542\pi\) |
−0.978692 | + | 0.205334i | \(0.934172\pi\) | |||||||
\(390\) | −57.4036 | + | 27.6441i | −2.90674 | + | 1.39981i | ||||
\(391\) | 7.79624 | + | 11.0662i | 0.394273 | + | 0.559642i | ||||
\(392\) | 48.4818 | − | 11.0656i | 2.44870 | − | 0.558899i | ||||
\(393\) | −1.44140 | − | 3.47986i | −0.0727092 | − | 0.175536i | ||||
\(394\) | 30.9522 | − | 20.6816i | 1.55935 | − | 1.04192i | ||||
\(395\) | −12.0987 | + | 19.2550i | −0.608752 | + | 0.968824i | ||||
\(396\) | −16.7135 | − | 19.7928i | −0.839885 | − | 0.994624i | ||||
\(397\) | −9.18474 | − | 9.71501i | −0.460969 | − | 0.487583i | 0.454060 | − | 0.890971i | \(-0.349975\pi\) |
−0.915029 | + | 0.403389i | \(0.867832\pi\) | |||||||
\(398\) | 11.3640 | + | 5.87080i | 0.569628 | + | 0.294277i | ||||
\(399\) | 0.0552324 | − | 0.0493587i | 0.00276508 | − | 0.00247103i | ||||
\(400\) | −50.2890 | − | 8.54444i | −2.51445 | − | 0.427222i | ||||
\(401\) | −32.5034 | − | 8.38435i | −1.62314 | − | 0.418694i | −0.675330 | − | 0.737516i | \(-0.735999\pi\) |
−0.947815 | + | 0.318822i | \(0.896713\pi\) | |||||||
\(402\) | 1.19381 | + | 14.1532i | 0.0595419 | + | 0.705899i | ||||
\(403\) | 10.0973 | − | 22.5653i | 0.502983 | − | 1.12406i | ||||
\(404\) | 37.5214 | − | 23.5763i | 1.86676 | − | 1.17296i | ||||
\(405\) | 2.54652 | + | 1.50215i | 0.126537 | + | 0.0746425i | ||||
\(406\) | −0.178700 | + | 0.323334i | −0.00886875 | + | 0.0160468i | ||||
\(407\) | 15.0154 | − | 18.8287i | 0.744284 | − | 0.933303i | ||||
\(408\) | −12.9024 | + | 30.8561i | −0.638765 | + | 1.52761i | ||||
\(409\) | 3.17830 | + | 6.59981i | 0.157157 | + | 0.326340i | 0.964649 | − | 0.263539i | \(-0.0848898\pi\) |
−0.807492 | + | 0.589879i | \(0.799176\pi\) | |||||||
\(410\) | −13.4940 | − | 3.88756i | −0.666422 | − | 0.191993i | ||||
\(411\) | 1.88490 | − | 5.91382i | 0.0929755 | − | 0.291707i | ||||
\(412\) | −16.6476 | + | 47.5761i | −0.820168 | + | 2.34390i | ||||
\(413\) | −0.772928 | + | 1.72732i | −0.0380333 | + | 0.0849961i | ||||
\(414\) | 10.6393 | − | 10.0586i | 0.522894 | − | 0.494353i | ||||
\(415\) | −18.6302 | − | 15.7318i | −0.914521 | − | 0.772244i | ||||
\(416\) | −46.1658 | + | 41.2563i | −2.26346 | + | 2.02275i | ||||
\(417\) | 3.28981 | − | 19.3624i | 0.161103 | − | 0.948182i | ||||
\(418\) | 2.26686 | + | 0.584742i | 0.110876 | + | 0.0286007i | ||||
\(419\) | −11.6371 | − | 36.5110i | −0.568509 | − | 1.78368i | −0.619521 | − | 0.784980i | \(-0.712673\pi\) |
0.0510112 | − | 0.998698i | \(-0.483756\pi\) | |||||||
\(420\) | 3.69084 | + | 1.65154i | 0.180095 | + | 0.0805871i | ||||
\(421\) | −1.16123 | − | 10.3062i | −0.0565948 | − | 0.502293i | −0.989749 | − | 0.142817i | \(-0.954384\pi\) |
0.933154 | − | 0.359476i | \(-0.117045\pi\) | |||||||
\(422\) | −41.4721 | − | 39.2084i | −2.01883 | − | 1.90864i | ||||
\(423\) | −8.39607 | + | 3.47777i | −0.408231 | + | 0.169095i | ||||
\(424\) | −88.4273 | −4.29441 | ||||||||
\(425\) | −21.6310 | + | 8.17398i | −1.04926 | + | 0.396496i | ||||
\(426\) | 17.3952 | − | 13.8722i | 0.842799 | − | 0.672110i | ||||
\(427\) | 1.72499 | + | 1.54155i | 0.0834783 | + | 0.0746008i | ||||
\(428\) | 0.624035 | + | 4.42025i | 0.0301639 | + | 0.213661i | ||||
\(429\) | 16.9003 | + | 16.9003i | 0.815954 | + | 0.815954i | ||||
\(430\) | 55.5065 | + | 0.305528i | 2.67676 | + | 0.0147339i | ||||
\(431\) | 14.6112 | − | 21.8672i | 0.703796 | − | 1.05331i | −0.291513 | − | 0.956567i | \(-0.594159\pi\) |
0.995310 | − | 0.0967389i | \(-0.0308412\pi\) | |||||||
\(432\) | 47.0641 | + | 12.1403i | 2.26437 | + | 0.584101i | ||||
\(433\) | −1.23735 | − | 22.0331i | −0.0594634 | − | 1.05884i | −0.876236 | − | 0.481883i | \(-0.839953\pi\) |
0.816772 | − | 0.576960i | \(-0.195761\pi\) | |||||||
\(434\) | −2.14180 | + | 0.617042i | −0.102810 | + | 0.0296190i | ||||
\(435\) | 2.07815 | − | 0.929913i | 0.0996398 | − | 0.0445859i | ||||
\(436\) | 14.0852 | + | 9.41146i | 0.674561 | + | 0.450727i | ||||
\(437\) | −0.181697 | + | 0.913452i | −0.00869174 | + | 0.0436963i | ||||
\(438\) | −33.3300 | − | 20.9426i | −1.59257 | − | 1.00068i | ||||
\(439\) | −2.01981 | + | 23.9459i | −0.0964003 | + | 1.14287i | 0.768130 | + | 0.640294i | \(0.221188\pi\) |
−0.864530 | + | 0.502581i | \(0.832384\pi\) | |||||||
\(440\) | 12.4013 | + | 72.9888i | 0.591209 | + | 3.47960i | ||||
\(441\) | −9.31978 | − | 7.43228i | −0.443799 | − | 0.353918i | ||||
\(442\) | −21.8419 | + | 67.7423i | −1.03891 | + | 3.22217i | ||||
\(443\) | −7.30950 | − | 32.0250i | −0.347285 | − | 1.52155i | −0.783317 | − | 0.621623i | \(-0.786474\pi\) |
0.436032 | − | 0.899931i | \(-0.356383\pi\) | |||||||
\(444\) | −2.29102 | + | 40.7954i | −0.108727 | + | 1.93607i | ||||
\(445\) | 3.57975 | − | 11.2313i | 0.169696 | − | 0.532416i | ||||
\(446\) | −0.351737 | − | 0.559786i | −0.0166552 | − | 0.0265066i | ||||
\(447\) | −13.2777 | − | 5.94140i | −0.628015 | − | 0.281019i | ||||
\(448\) | 1.37687 | + | 0.194381i | 0.0650508 | + | 0.00918365i | ||||
\(449\) | 2.22958 | + | 1.88271i | 0.105220 | + | 0.0888505i | 0.696251 | − | 0.717799i | \(-0.254850\pi\) |
−0.591031 | + | 0.806649i | \(0.701279\pi\) | |||||||
\(450\) | 12.0983 | + | 21.8902i | 0.570318 | + | 1.03191i | ||||
\(451\) | 0.295372 | + | 5.25959i | 0.0139085 | + | 0.247664i | ||||
\(452\) | 6.62826 | + | 8.80741i | 0.311767 | + | 0.414266i | ||||
\(453\) | −13.2522 | + | 4.22386i | −0.622643 | + | 0.198454i | ||||
\(454\) | 11.2838 | + | 21.8420i | 0.529577 | + | 1.02510i | ||||
\(455\) | 4.70554 | + | 1.64654i | 0.220599 | + | 0.0771909i | ||||
\(456\) | −2.14978 | + | 0.820614i | −0.100673 | + | 0.0384288i | ||||
\(457\) | 37.1032 | − | 6.30409i | 1.73562 | − | 0.294893i | 0.788323 | − | 0.615262i | \(-0.210950\pi\) |
0.947293 | + | 0.320369i | \(0.103807\pi\) | |||||||
\(458\) | −41.6659 | − | 52.2474i | −1.94692 | − | 2.44136i | ||||
\(459\) | 21.1928 | − | 6.02866i | 0.989195 | − | 0.281394i | ||||
\(460\) | −49.5653 | + | 11.3130i | −2.31100 | + | 0.527470i | ||||
\(461\) | 2.03619 | − | 36.2577i | 0.0948347 | − | 1.68869i | −0.485442 | − | 0.874269i | \(-0.661341\pi\) |
0.580277 | − | 0.814419i | \(-0.302944\pi\) | |||||||
\(462\) | 0.181122 | − | 2.14729i | 0.00842654 | − | 0.0999009i | ||||
\(463\) | −0.241337 | + | 0.151642i | −0.0112159 | + | 0.00704741i | −0.537628 | − | 0.843182i | \(-0.680680\pi\) |
0.526412 | + | 0.850229i | \(0.323537\pi\) | |||||||
\(464\) | 4.28671 | − | 3.61980i | 0.199005 | − | 0.168045i | ||||
\(465\) | 12.8331 | + | 4.89867i | 0.595123 | + | 0.227170i | ||||
\(466\) | −4.87276 | − | 24.4970i | −0.225726 | − | 1.13480i | ||||
\(467\) | 12.0103 | − | 28.9954i | 0.555770 | − | 1.34175i | −0.357318 | − | 0.933983i | \(-0.616309\pi\) |
0.913087 | − | 0.407764i | \(-0.133691\pi\) | |||||||
\(468\) | 53.4237 | + | 9.07706i | 2.46951 | + | 0.419587i | ||||
\(469\) | 0.717022 | − | 0.849125i | 0.0331090 | − | 0.0392090i | ||||
\(470\) | 44.3905 | + | 6.26690i | 2.04758 | + | 0.289071i | ||||
\(471\) | −5.69489 | − | 4.28585i | −0.262407 | − | 0.197481i | ||||
\(472\) | 41.5680 | − | 41.5680i | 1.91332 | − | 1.91332i | ||||
\(473\) | −6.76893 | − | 19.6915i | −0.311236 | − | 0.905416i | ||||
\(474\) | −18.9967 | + | 7.86869i | −0.872547 | + | 0.361421i | ||||
\(475\) | −1.43341 | − | 0.690292i | −0.0657692 | − | 0.0316728i | ||||
\(476\) | 4.17908 | − | 1.71464i | 0.191548 | − | 0.0785903i | ||||
\(477\) | 13.2161 | + | 16.5724i | 0.605123 | + | 0.758800i | ||||
\(478\) | −0.474876 | − | 0.669276i | −0.0217203 | − | 0.0306120i | ||||
\(479\) | 10.1185 | + | 15.1434i | 0.462324 | + | 0.691917i | 0.987240 | − | 0.159237i | \(-0.0509033\pi\) |
−0.524916 | + | 0.851154i | \(0.675903\pi\) | |||||||
\(480\) | −24.3261 | − | 24.3261i | −1.11033 | − | 1.11033i | ||||
\(481\) | 1.41288 | + | 50.3568i | 0.0644216 | + | 2.29607i | ||||
\(482\) | −5.90879 | − | 18.5386i | −0.269138 | − | 0.844412i | ||||
\(483\) | 0.856955 | + | 0.0240438i | 0.0389928 | + | 0.00109403i | ||||
\(484\) | −3.81533 | + | 2.10866i | −0.173424 | + | 0.0958480i | ||||
\(485\) | 40.0751 | + | 44.8441i | 1.81972 | + | 2.03626i | ||||
\(486\) | −15.9261 | − | 35.5913i | −0.722421 | − | 1.61445i | ||||
\(487\) | 12.0200 | + | 20.3769i | 0.544679 | + | 0.923365i | 0.999463 | + | 0.0327630i | \(0.0104307\pi\) |
−0.454784 | + | 0.890602i | \(0.650284\pi\) | |||||||
\(488\) | −32.9853 | − | 63.8492i | −1.49317 | − | 2.89032i | ||||
\(489\) | 11.9736 | − | 7.52350i | 0.541464 | − | 0.340224i | ||||
\(490\) | 20.9708 | + | 54.9377i | 0.947365 | + | 2.48183i | ||||
\(491\) | 16.4771 | + | 14.7248i | 0.743601 | + | 0.664522i | 0.949399 | − | 0.314072i | \(-0.101693\pi\) |
−0.205798 | + | 0.978594i | \(0.565979\pi\) | |||||||
\(492\) | −5.57255 | − | 6.98775i | −0.251230 | − | 0.315032i | ||||
\(493\) | 0.848081 | − | 2.39786i | 0.0381957 | − | 0.107994i | ||||
\(494\) | −4.41210 | + | 2.12475i | −0.198510 | + | 0.0955972i | ||||
\(495\) | 11.8256 | − | 13.2329i | 0.531521 | − | 0.594772i | ||||
\(496\) | 33.7311 | + | 2.84519i | 1.51457 | + | 0.127753i | ||||
\(497\) | −1.72997 | − | 0.194921i | −0.0775997 | − | 0.00874339i | ||||
\(498\) | −5.50701 | − | 21.3489i | −0.246775 | − | 0.956668i | ||||
\(499\) | 0.543157 | − | 0.513509i | 0.0243150 | − | 0.0229878i | −0.674743 | − | 0.738053i | \(-0.735746\pi\) |
0.699058 | + | 0.715065i | \(0.253603\pi\) | |||||||
\(500\) | 0.264213 | − | 9.41689i | 0.0118159 | − | 0.421136i | ||||
\(501\) | −11.9466 | + | 3.44175i | −0.533734 | + | 0.153766i | ||||
\(502\) | 6.09175 | + | 6.81668i | 0.271888 | + | 0.304243i | ||||
\(503\) | −7.47064 | + | 3.34290i | −0.333100 | + | 0.149052i | −0.568137 | − | 0.822934i | \(-0.692336\pi\) |
0.235038 | + | 0.971986i | \(0.424479\pi\) | |||||||
\(504\) | −1.43811 | − | 2.43795i | −0.0640585 | − | 0.108595i | ||||
\(505\) | 19.5859 | + | 23.1944i | 0.871561 | + | 1.03214i | ||||
\(506\) | 14.4150 | + | 22.9414i | 0.640827 | + | 1.01987i | ||||
\(507\) | −35.1397 | − | 2.96400i | −1.56061 | − | 0.131636i | ||||
\(508\) | −60.5226 | − | 85.2986i | −2.68526 | − | 3.78451i | ||||
\(509\) | 28.6143i | 1.26831i | 0.773208 | + | 0.634153i | \(0.218651\pi\) | ||||
−0.773208 | + | 0.634153i | \(0.781349\pi\) | |||||||
\(510\) | −38.2620 | − | 10.0067i | −1.69427 | − | 0.443105i | ||||
\(511\) | 0.685371 | + | 3.00281i | 0.0303190 | + | 0.132836i | ||||
\(512\) | 39.7670 | + | 21.9785i | 1.75747 | + | 0.971320i | ||||
\(513\) | 1.30571 | + | 0.770216i | 0.0576483 | + | 0.0340059i | ||||
\(514\) | −27.3770 | + | 9.57962i | −1.20755 | + | 0.422539i | ||||
\(515\) | −33.8669 | − | 6.73654i | −1.49235 | − | 0.296848i | ||||
\(516\) | 28.6992 | + | 20.6016i | 1.26341 | + | 0.906936i | ||||
\(517\) | −3.28089 | − | 16.4942i | −0.144293 | − | 0.725412i | ||||
\(518\) | 3.38672 | − | 3.02656i | 0.148804 | − | 0.132979i | ||||
\(519\) | −4.30292 | + | 0.241647i | −0.188877 | + | 0.0106071i | ||||
\(520\) | −118.324 | − | 99.9157i | −5.18885 | − | 4.38160i | ||||
\(521\) | −10.5682 | − | 4.03409i | −0.463000 | − | 0.176736i | 0.113999 | − | 0.993481i | \(-0.463634\pi\) |
−0.577000 | + | 0.816744i | \(0.695777\pi\) | |||||||
\(522\) | −2.69812 | − | 0.536689i | −0.118093 | − | 0.0234902i | ||||
\(523\) | −10.0899 | + | 10.0899i | −0.441200 | + | 0.441200i | −0.892415 | − | 0.451215i | \(-0.850991\pi\) |
0.451215 | + | 0.892415i | \(0.350991\pi\) | |||||||
\(524\) | 10.8568 | − | 11.4836i | 0.474280 | − | 0.501663i | ||||
\(525\) | −0.405413 | + | 1.40722i | −0.0176937 | + | 0.0614162i | ||||
\(526\) | 54.7691 | + | 12.5007i | 2.38805 | + | 0.545056i | ||||
\(527\) | 13.8480 | − | 6.61172i | 0.603227 | − | 0.288011i | ||||
\(528\) | −14.1997 | + | 29.4861i | −0.617964 | + | 1.28322i | ||||
\(529\) | 9.96700 | − | 7.07197i | 0.433348 | − | 0.307477i | ||||
\(530\) | −14.6172 | − | 103.539i | −0.634932 | − | 4.49743i | ||||
\(531\) | −14.0030 | − | 1.57776i | −0.607679 | − | 0.0684689i | ||||
\(532\) | 0.283682 | + | 0.126939i | 0.0122992 | + | 0.00550352i | ||||
\(533\) | −7.57029 | − | 8.00736i | −0.327906 | − | 0.346837i | ||||
\(534\) | 8.51637 | − | 6.40922i | 0.368539 | − | 0.277354i | ||||
\(535\) | −2.93866 | + | 0.846612i | −0.127049 | + | 0.0366022i | ||||
\(536\) | −30.2165 | + | 16.7000i | −1.30515 | + | 0.721332i | ||||
\(537\) | −17.4266 | + | 13.1148i | −0.752013 | + | 0.565947i | ||||
\(538\) | 8.16863 | − | 57.8611i | 0.352174 | − | 2.49457i | ||||
\(539\) | 16.8540 | − | 14.2319i | 0.725953 | − | 0.613012i | ||||
\(540\) | −9.26528 | + | 82.2316i | −0.398714 | + | 3.53869i | ||||
\(541\) | −9.98549 | + | 16.9279i | −0.429310 | + | 0.727785i | −0.995322 | − | 0.0966113i | \(-0.969200\pi\) |
0.566013 | + | 0.824397i | \(0.308485\pi\) | |||||||
\(542\) | 51.0702 | − | 8.67718i | 2.19365 | − | 0.372717i | ||||
\(543\) | 0.904519 | − | 3.96296i | 0.0388166 | − | 0.170067i | ||||
\(544\) | −38.4204 | + | 0.949058i | −1.64726 | + | 0.0406905i | ||||
\(545\) | −5.03527 | + | 10.4558i | −0.215687 | + | 0.447879i | ||||
\(546\) | 2.60846 | + | 3.67628i | 0.111632 | + | 0.157330i | ||||
\(547\) | −6.03765 | − | 42.7667i | −0.258151 | − | 1.82857i | −0.509260 | − | 0.860613i | \(-0.670081\pi\) |
0.251109 | − | 0.967959i | \(-0.419205\pi\) | |||||||
\(548\) | 25.8785 | − | 2.91580i | 1.10547 | − | 0.124557i | ||||
\(549\) | −7.03630 | + | 15.7246i | −0.300302 | + | 0.671109i | ||||
\(550\) | −44.0977 | + | 14.0552i | −1.88033 | + | 0.599316i | ||||
\(551\) | 0.159729 | − | 0.0714741i | 0.00680468 | − | 0.00304490i | ||||
\(552\) | −24.6043 | − | 10.1914i | −1.04723 | − | 0.433777i | ||||
\(553\) | 1.48641 | + | 0.615693i | 0.0632088 | + | 0.0261819i | ||||
\(554\) | −3.07933 | − | 6.88162i | −0.130828 | − | 0.292372i | ||||
\(555\) | −27.8925 | + | 2.35270i | −1.18397 | + | 0.0998666i | ||||
\(556\) | 79.7905 | − | 20.5822i | 3.38387 | − | 0.872878i | ||||
\(557\) | 7.13115 | + | 20.3796i | 0.302156 | + | 0.863513i | 0.990424 | + | 0.138057i | \(0.0440857\pi\) |
−0.688268 | + | 0.725457i | \(0.741629\pi\) | |||||||
\(558\) | −9.22118 | − | 13.8005i | −0.390364 | − | 0.584220i | ||||
\(559\) | 37.3934 | + | 22.3362i | 1.58157 | + | 0.944720i | ||||
\(560\) | 6.82635i | 0.288466i | ||||||||
\(561\) | 1.19739 | + | 14.7875i | 0.0505539 | + | 0.624330i | ||||
\(562\) | 26.5540 | + | 55.1400i | 1.12011 | + | 2.32594i | ||||
\(563\) | 12.9303 | − | 23.3955i | 0.544945 | − | 0.986004i | −0.450690 | − | 0.892680i | \(-0.648822\pi\) |
0.995636 | − | 0.0933240i | \(-0.0297492\pi\) | |||||||
\(564\) | 20.7337 | + | 19.6020i | 0.873045 | + | 0.825392i | ||||
\(565\) | −5.33964 | + | 5.33964i | −0.224640 | + | 0.224640i | ||||
\(566\) | 10.7923 | + | 2.14671i | 0.453632 | + | 0.0902330i | ||||
\(567\) | 0.0745962 | − | 0.195421i | 0.00313275 | − | 0.00820692i | ||||
\(568\) | 48.0481 | + | 24.8222i | 2.01605 | + | 1.04152i | ||||
\(569\) | −3.36796 | + | 4.74670i | −0.141192 | + | 0.198992i | −0.880065 | − | 0.474853i | \(-0.842501\pi\) |
0.738873 | + | 0.673845i | \(0.235358\pi\) | |||||||
\(570\) | −1.31621 | − | 2.38151i | −0.0551301 | − | 0.0997504i | ||||
\(571\) | −6.49251 | + | 25.1694i | −0.271703 | + | 1.05331i | 0.676705 | + | 0.736254i | \(0.263407\pi\) |
−0.948408 | + | 0.317052i | \(0.897307\pi\) | |||||||
\(572\) | −35.7616 | + | 93.6855i | −1.49527 | + | 3.91719i | ||||
\(573\) | 9.50516 | + | 7.15337i | 0.397084 | + | 0.298836i | ||||
\(574\) | −0.111239 | + | 0.987277i | −0.00464304 | + | 0.0412081i | ||||
\(575\) | −6.56647 | − | 17.2023i | −0.273841 | − | 0.717386i | ||||
\(576\) | 1.73445 | + | 10.2083i | 0.0722688 | + | 0.425344i | ||||
\(577\) | 3.02506 | − | 1.45679i | 0.125935 | − | 0.0606471i | −0.369855 | − | 0.929089i | \(-0.620593\pi\) |
0.495790 | + | 0.868442i | \(0.334878\pi\) | |||||||
\(578\) | −37.5664 | + | 23.2546i | −1.56256 | + | 0.967265i | ||||
\(579\) | −20.3598 | − | 16.2364i | −0.846123 | − | 0.674761i | ||||
\(580\) | 7.12263 | + | 6.36517i | 0.295751 | + | 0.264299i | ||||
\(581\) | −0.876506 | + | 1.48589i | −0.0363636 | + | 0.0616452i | ||||
\(582\) | 6.08858 | + | 54.0376i | 0.252380 | + | 2.23993i | ||||
\(583\) | −34.8497 | + | 18.0038i | −1.44333 | + | 0.745641i | ||||
\(584\) | 13.3752 | − | 94.7408i | 0.553469 | − | 3.92040i | ||||
\(585\) | −1.04117 | + | 37.1086i | −0.0430469 | + | 1.53425i | ||||
\(586\) | −46.1826 | − | 32.7683i | −1.90778 | − | 1.35365i | ||||
\(587\) | 4.27450 | + | 14.8371i | 0.176427 | + | 0.612393i | 0.999041 | + | 0.0437919i | \(0.0139438\pi\) |
−0.822613 | + | 0.568601i | \(0.807485\pi\) | |||||||
\(588\) | −9.34821 | + | 36.2400i | −0.385514 | + | 1.49451i | ||||
\(589\) | 0.986369 | + | 0.376517i | 0.0406426 | + | 0.0155141i | ||||
\(590\) | 55.5428 | + | 41.8003i | 2.28666 | + | 1.72089i | ||||
\(591\) | 1.81730 | + | 16.1290i | 0.0747537 | + | 0.663457i | ||||
\(592\) | −64.4450 | + | 24.5999i | −2.64867 | + | 1.01105i | ||||
\(593\) | −35.9183 | − | 10.3479i | −1.47499 | − | 0.424937i | −0.560027 | − | 0.828475i | \(-0.689209\pi\) |
−0.914963 | + | 0.403537i | \(0.867781\pi\) | |||||||
\(594\) | 42.9955 | − | 9.81345i | 1.76413 | − | 0.402651i | ||||
\(595\) | 1.56331 | + | 2.67062i | 0.0640896 | + | 0.109485i | ||||
\(596\) | − | 61.0318i | − | 2.49996i | ||||||
\(597\) | −4.54840 | + | 3.22726i | −0.186154 | + | 0.132083i | ||||
\(598\) | −53.9996 | − | 17.2112i | −2.20821 | − | 0.703819i | ||||
\(599\) | −13.5436 | + | 38.7053i | −0.553375 | + | 1.58145i | 0.238741 | + | 0.971083i | \(0.423265\pi\) |
−0.792116 | + | 0.610371i | \(0.791020\pi\) | |||||||
\(600\) | 27.3557 | − | 36.3493i | 1.11679 | − | 1.48395i | ||||
\(601\) | −1.85195 | − | 1.23743i | −0.0755426 | − | 0.0504759i | 0.517225 | − | 0.855849i | \(-0.326965\pi\) |
−0.592768 | + | 0.805373i | \(0.701965\pi\) | |||||||
\(602\) | −0.636496 | − | 3.87520i | −0.0259417 | − | 0.157941i | ||||
\(603\) | 7.64587 | + | 3.16702i | 0.311364 | + | 0.128971i | ||||
\(604\) | −38.8865 | − | 43.5140i | −1.58227 | − | 1.77056i | ||||
\(605\) | −1.79576 | − | 2.38614i | −0.0730079 | − | 0.0970105i | ||||
\(606\) | 2.30712 | + | 27.3520i | 0.0937203 | + | 1.11110i | ||||
\(607\) | −18.2305 | + | 0.511499i | −0.739955 | + | 0.0207611i | −0.396032 | − | 0.918237i | \(-0.629613\pi\) |
−0.343923 | + | 0.938998i | \(0.611756\pi\) | |||||||
\(608\) | −1.86973 | − | 1.86973i | −0.0758275 | − | 0.0758275i | ||||
\(609\) | −0.0894894 | − | 0.133930i | −0.00362630 | − | 0.00542713i | ||||
\(610\) | 69.3079 | − | 49.1766i | 2.80620 | − | 1.99110i | ||||
\(611\) | 27.5037 | + | 21.9335i | 1.11268 | + | 0.887334i | ||||
\(612\) | 21.6155 | + | 25.7727i | 0.873753 | + | 1.04180i | ||||
\(613\) | 1.78355 | − | 2.23650i | 0.0720369 | − | 0.0903315i | −0.744507 | − | 0.667614i | \(-0.767316\pi\) |
0.816544 | + | 0.577283i | \(0.195887\pi\) | |||||||
\(614\) | −1.91799 | − | 0.107712i | −0.0774037 | − | 0.00434690i | ||||
\(615\) | 4.20640 | − | 4.44925i | 0.169618 | − | 0.179411i | ||||
\(616\) | 4.94399 | − | 1.72998i | 0.199199 | − | 0.0697028i | ||||
\(617\) | 35.8220 | − | 18.5061i | 1.44214 | − | 0.745027i | 0.452932 | − | 0.891545i | \(-0.350378\pi\) |
0.989208 | + | 0.146518i | \(0.0468065\pi\) | |||||||
\(618\) | −21.4495 | − | 22.6879i | −0.862826 | − | 0.912641i | ||||
\(619\) | −7.81752 | − | 0.219338i | −0.314213 | − | 0.00881595i | −0.129409 | − | 0.991591i | \(-0.541308\pi\) |
−0.184804 | + | 0.982775i | \(0.559165\pi\) | |||||||
\(620\) | 3.23150 | + | 57.5422i | 0.129780 | + | 2.31095i | ||||
\(621\) | 4.85704 | + | 16.8591i | 0.194906 | + | 0.676534i | ||||
\(622\) | −8.82376 | − | 4.55846i | −0.353800 | − | 0.182778i | ||||
\(623\) | −0.825807 | − | 0.116585i | −0.0330853 | − | 0.00467086i | ||||
\(624\) | −17.0994 | − | 66.2889i | −0.684524 | − | 2.65368i | ||||
\(625\) | −21.4524 | + | 2.41710i | −0.858094 | + | 0.0966840i | ||||
\(626\) | −20.0516 | − | 6.39101i | −0.801421 | − | 0.255436i | ||||
\(627\) | −0.680164 | + | 0.761104i | −0.0271631 | + | 0.0303956i | ||||
\(628\) | 6.65433 | − | 29.1545i | 0.265537 | − | 1.16339i | ||||
\(629\) | −19.5787 | + | 24.3827i | −0.780652 | + | 0.972202i | ||||
\(630\) | 2.61685 | − | 2.08687i | 0.104258 | − | 0.0831428i | ||||
\(631\) | −24.5369 | − | 1.37796i | −0.976800 | − | 0.0548559i | −0.439496 | − | 0.898245i | \(-0.644843\pi\) |
−0.537304 | + | 0.843389i | \(0.680557\pi\) | |||||||
\(632\) | −36.3181 | − | 34.3358i | −1.44466 | − | 1.36580i | ||||
\(633\) | 23.4879 | − | 8.21876i | 0.933558 | − | 0.326666i | ||||
\(634\) | −32.3239 | + | 27.2951i | −1.28375 | + | 1.08403i | ||||
\(635\) | 52.0653 | − | 49.2234i | 2.06615 | − | 1.95337i | ||||
\(636\) | 30.5459 | − | 59.1273i | 1.21122 | − | 2.34455i | ||||
\(637\) | −7.72932 | + | 45.4915i | −0.306247 | + | 1.80244i | ||||
\(638\) | 1.94815 | − | 4.70324i | 0.0771279 | − | 0.186203i | ||||
\(639\) | −2.52911 | − | 12.7147i | −0.100050 | − | 0.502985i | ||||
\(640\) | −3.43766 | + | 9.00570i | −0.135885 | + | 0.355982i | ||||
\(641\) | 16.8560 | − | 8.70803i | 0.665773 | − | 0.343947i | −0.0926595 | − | 0.995698i | \(-0.529537\pi\) |
0.758433 | + | 0.651751i | \(0.225965\pi\) | |||||||
\(642\) | −2.61001 | − | 0.913282i | −0.103009 | − | 0.0360444i | ||||
\(643\) | 24.4290 | − | 3.44880i | 0.963385 | − | 0.136007i | 0.359558 | − | 0.933123i | \(-0.382927\pi\) |
0.603827 | + | 0.797115i | \(0.293642\pi\) | |||||||
\(644\) | 1.37648 | + | 3.32311i | 0.0542407 | + | 0.130949i | ||||
\(645\) | −11.2265 | + | 21.4407i | −0.442042 | + | 0.844227i | ||||
\(646\) | −2.94086 | − | 0.769128i | −0.115706 | − | 0.0302609i | ||||
\(647\) | 16.2208 | − | 33.6828i | 0.637705 | − | 1.32421i | −0.292182 | − | 0.956363i | \(-0.594381\pi\) |
0.929887 | − | 0.367845i | \(-0.119904\pi\) | |||||||
\(648\) | −4.32989 | + | 4.84515i | −0.170094 | + | 0.190335i | ||||
\(649\) | 7.91895 | − | 24.8454i | 0.310846 | − | 0.975268i | ||||
\(650\) | 51.5093 | − | 81.9766i | 2.02036 | − | 3.21539i | ||||
\(651\) | 0.189596 | − | 0.953164i | 0.00743086 | − | 0.0373574i | ||||
\(652\) | 49.3320 | + | 32.9626i | 1.93199 | + | 1.29091i | ||||
\(653\) | −13.2485 | − | 29.6075i | −0.518454 | − | 1.15863i | −0.964611 | − | 0.263677i | \(-0.915065\pi\) |
0.446157 | − | 0.894955i | \(-0.352792\pi\) | |||||||
\(654\) | −9.18394 | + | 5.07579i | −0.359121 | + | 0.198479i | ||||
\(655\) | 8.82945 | + | 6.26483i | 0.344995 | + | 0.244787i | ||||
\(656\) | 6.92550 | − | 13.4056i | 0.270395 | − | 0.523401i | ||||
\(657\) | −19.7547 | + | 11.6530i | −0.770704 | + | 0.454627i | ||||
\(658\) | −0.0889557 | − | 3.17050i | −0.00346785 | − | 0.123599i | ||||
\(659\) | −0.903953 | − | 2.58335i | −0.0352130 | − | 0.100633i | 0.924935 | − | 0.380126i | \(-0.124119\pi\) |
−0.960148 | + | 0.279493i | \(0.909834\pi\) | |||||||
\(660\) | −53.0882 | − | 16.9207i | −2.06645 | − | 0.658638i | ||||
\(661\) | −1.85301 | − | 10.9060i | −0.0720736 | − | 0.424195i | −0.998823 | − | 0.0485136i | \(-0.984552\pi\) |
0.926749 | − | 0.375681i | \(-0.122591\pi\) | |||||||
\(662\) | 56.1573 | + | 12.8175i | 2.18261 | + | 0.498168i | ||||
\(663\) | −21.8706 | − | 22.0178i | −0.849384 | − | 0.855099i | ||||
\(664\) | 41.8993 | − | 33.4136i | 1.62601 | − | 1.29670i | ||||
\(665\) | −0.0589409 | + | 0.204588i | −0.00228563 | + | 0.00793360i | ||||
\(666\) | 29.1316 | + | 17.1843i | 1.12883 | + | 0.665878i | ||||
\(667\) | 1.91161 | + | 0.668901i | 0.0740178 | + | 0.0259000i | ||||
\(668\) | −33.6537 | − | 39.8541i | −1.30210 | − | 1.54200i | ||||
\(669\) | 0.287237 | − | 0.0242282i | 0.0111052 | − | 0.000936716i | ||||
\(670\) | −24.5488 | − | 32.6196i | −0.948402 | − | 1.26021i | ||||
\(671\) | −25.9994 | − | 18.4476i | −1.00370 | − | 0.712160i | ||||
\(672\) | −1.40845 | + | 1.98503i | −0.0543323 | + | 0.0765742i | ||||
\(673\) | 7.27477 | − | 8.61506i | 0.280422 | − | 0.332086i | −0.605566 | − | 0.795795i | \(-0.707053\pi\) |
0.885988 | + | 0.463709i | \(0.153482\pi\) | |||||||
\(674\) | −33.8349 | + | 19.9587i | −1.30327 | + | 0.768779i | ||||
\(675\) | −29.9589 | + | 0.840566i | −1.15312 | + | 0.0323534i | ||||
\(676\) | −48.8673 | − | 139.655i | −1.87951 | − | 5.37134i | ||||
\(677\) | −29.5510 | − | 2.49260i | −1.13574 | − | 0.0957982i | −0.498802 | − | 0.866716i | \(-0.666226\pi\) |
−0.636935 | + | 0.770918i | \(0.719798\pi\) | |||||||
\(678\) | −6.73144 | + | 1.14372i | −0.258520 | + | 0.0439242i | ||||
\(679\) | 2.65294 | − | 3.32668i | 0.101810 | − | 0.127666i | ||||
\(680\) | −15.7847 | − | 94.8262i | −0.605315 | − | 3.63642i | ||||
\(681\) | −10.7192 | −0.410761 | ||||||||
\(682\) | 28.3765 | − | 11.7539i | 1.08659 | − | 0.450081i | ||||
\(683\) | −33.5595 | + | 35.4970i | −1.28412 | + | 1.35826i | −0.383561 | + | 0.923516i | \(0.625302\pi\) |
−0.900556 | + | 0.434740i | \(0.856840\pi\) | |||||||
\(684\) | −0.259119 | + | 2.29974i | −0.00990764 | + | 0.0879328i | ||||
\(685\) | 4.45616 | + | 17.2751i | 0.170261 | + | 0.660048i | ||||
\(686\) | 7.19413 | − | 4.24371i | 0.274673 | − | 0.162026i | ||||
\(687\) | 28.5776 | − | 5.68444i | 1.09030 | − | 0.216875i | ||||
\(688\) | −11.9573 | + | 58.4309i | −0.455870 | + | 2.22766i | ||||
\(689\) | 31.4001 | − | 75.8065i | 1.19625 | − | 2.88800i | ||||
\(690\) | 7.86592 | − | 30.4937i | 0.299450 | − | 1.16087i | ||||
\(691\) | −4.36102 | + | 30.8905i | −0.165901 | + | 1.17513i | 0.714060 | + | 0.700085i | \(0.246854\pi\) |
−0.879961 | + | 0.475046i | \(0.842431\pi\) | |||||||
\(692\) | −8.29932 | − | 16.0649i | −0.315493 | − | 0.610695i | ||||
\(693\) | −1.06313 | − | 0.668012i | −0.0403851 | − | 0.0253757i | ||||
\(694\) | −13.7222 | + | 9.16889i | −0.520888 | + | 0.348046i | ||||
\(695\) | 21.6028 | + | 52.1538i | 0.819441 | + | 1.97831i | ||||
\(696\) | 1.11345 | + | 4.87835i | 0.0422053 | + | 0.184913i | ||||
\(697\) | −0.360627 | − | 6.83059i | −0.0136597 | − | 0.258727i | ||||
\(698\) | 11.3794 | − | 49.8563i | 0.430716 | − | 1.88709i | ||||
\(699\) | 10.4647 | + | 3.01482i | 0.395811 | + | 0.114031i | ||||
\(700\) | −6.08403 | + | 0.858922i | −0.229955 | + | 0.0324642i | ||||
\(701\) | 6.05318 | + | 3.80347i | 0.228626 | + | 0.143655i | 0.641474 | − | 0.767145i | \(-0.278323\pi\) |
−0.412848 | + | 0.910800i | \(0.635466\pi\) | |||||||
\(702\) | −55.4723 | + | 73.7098i | −2.09367 | + | 2.78200i | ||||
\(703\) | −2.14385 | + | 0.180831i | −0.0808566 | + | 0.00682018i | ||||
\(704\) | −19.1538 | − | 0.537405i | −0.721887 | − | 0.0202542i | ||||
\(705\) | −11.3112 | + | 15.9416i | −0.426004 | + | 0.600396i | ||||
\(706\) | −54.2525 | + | 3.04676i | −2.04182 | + | 0.114666i | ||||
\(707\) | 1.38569 | − | 1.64099i | 0.0521143 | − | 0.0617158i | ||||
\(708\) | 13.4356 | + | 42.1537i | 0.504940 | + | 1.58423i | ||||
\(709\) | −35.4859 | + | 9.15368i | −1.33270 | + | 0.343774i | −0.847577 | − | 0.530672i | \(-0.821940\pi\) |
−0.485123 | + | 0.874446i | \(0.661225\pi\) | |||||||
\(710\) | −21.1217 | + | 60.3622i | −0.792681 | + | 2.26535i | ||||
\(711\) | −1.00698 | + | 11.9382i | −0.0377646 | + | 0.447718i | ||||
\(712\) | 22.6752 | + | 12.5321i | 0.849787 | + | 0.469661i | ||||
\(713\) | 5.30170 | + | 11.0091i | 0.198550 | + | 0.412294i | ||||
\(714\) | −0.244526 | + | 2.78736i | −0.00915116 | + | 0.104314i | ||||
\(715\) | −66.9751 | − | 15.2866i | −2.50473 | − | 0.571687i | ||||
\(716\) | −80.0901 | − | 44.2642i | −2.99311 | − | 1.65423i | ||||
\(717\) | 0.354294 | − | 0.0500180i | 0.0132313 | − | 0.00186796i | ||||
\(718\) | −29.1895 | + | 46.4548i | −1.08934 | + | 1.73368i | ||||
\(719\) | 18.2247 | − | 24.2164i | 0.679667 | − | 0.903119i | −0.319342 | − | 0.947640i | \(-0.603462\pi\) |
0.999008 | + | 0.0445209i | \(0.0141761\pi\) | |||||||
\(720\) | −48.4321 | + | 15.4367i | −1.80496 | + | 0.575292i | ||||
\(721\) | −0.0685172 | + | 2.44205i | −0.00255171 | + | 0.0909465i | ||||
\(722\) | 23.7846 | + | 43.0350i | 0.885171 | + | 1.60160i | ||||
\(723\) | 8.36388 | + | 1.42108i | 0.311056 | + | 0.0528506i | ||||
\(724\) | 16.7271 | − | 3.32723i | 0.621658 | − | 0.123655i | ||||
\(725\) | −1.92206 | + | 2.87657i | −0.0713836 | + | 0.106833i | ||||
\(726\) | −0.0757321 | − | 2.69920i | −0.00281068 | − | 0.100177i | ||||
\(727\) | −3.67590 | − | 0.414175i | −0.136332 | − | 0.0153609i | 0.0435349 | − | 0.999052i | \(-0.486138\pi\) |
−0.179867 | + | 0.983691i | \(0.557567\pi\) | |||||||
\(728\) | −5.56685 | + | 9.43719i | −0.206321 | + | 0.349765i | ||||
\(729\) | 19.6933 | + | 1.10595i | 0.729380 | + | 0.0409611i | ||||
\(730\) | 113.142 | 4.18758 | ||||||||
\(731\) | 8.70337 | + | 25.5979i | 0.321906 | + | 0.946772i | ||||
\(732\) | 54.0874 | 1.99913 | ||||||||
\(733\) | −20.7055 | − | 1.16280i | −0.764775 | − | 0.0429489i | −0.330592 | − | 0.943774i | \(-0.607249\pi\) |
−0.434183 | + | 0.900825i | \(0.642963\pi\) | |||||||
\(734\) | −41.3203 | + | 70.0480i | −1.52516 | + | 2.58552i | ||||
\(735\) | −25.4782 | − | 2.87070i | −0.939778 | − | 0.105888i | ||||
\(736\) | −0.858289 | − | 30.5906i | −0.0316369 | − | 1.12758i | ||||
\(737\) | −8.50836 | + | 12.7337i | −0.313409 | + | 0.469050i | ||||
\(738\) | −7.25616 | + | 1.44334i | −0.267103 | + | 0.0531300i | ||||
\(739\) | 25.9023 | + | 4.40097i | 0.952830 | + | 0.161892i | 0.623064 | − | 0.782170i | \(-0.285887\pi\) |
0.329766 | + | 0.944063i | \(0.393030\pi\) | |||||||
\(740\) | −56.8093 | − | 102.789i | −2.08835 | − | 3.77859i | ||||
\(741\) | 0.0598840 | − | 2.13435i | 0.00219989 | − | 0.0784072i | ||||
\(742\) | −7.04858 | + | 2.24659i | −0.258762 | + | 0.0824747i | ||||
\(743\) | 8.78118 | − | 11.6681i | 0.322150 | − | 0.428063i | −0.608735 | − | 0.793373i | \(-0.708323\pi\) |
0.930886 | + | 0.365311i | \(0.119037\pi\) | |||||||
\(744\) | −16.0620 | + | 25.5625i | −0.588860 | + | 0.937166i | ||||
\(745\) | 41.4002 | − | 5.84473i | 1.51678 | − | 0.214134i | ||||
\(746\) | −12.1781 | − | 6.73062i | −0.445874 | − | 0.246426i | ||||
\(747\) | −12.5243 | − | 2.85859i | −0.458240 | − | 0.104590i | ||||
\(748\) | −54.5802 | + | 29.9269i | −1.99565 | + | 1.09424i | ||||
\(749\) | 0.0938771 | + | 0.194938i | 0.00343019 | + | 0.00712287i | ||||
\(750\) | 5.10728 | + | 2.82269i | 0.186492 | + | 0.103070i | ||||
\(751\) | −1.86874 | + | 22.1548i | −0.0681913 | + | 0.808442i | 0.876696 | + | 0.481045i | \(0.159743\pi\) |
−0.944887 | + | 0.327397i | \(0.893829\pi\) | |||||||
\(752\) | −15.9095 | + | 45.4668i | −0.580160 | + | 1.65800i | ||||
\(753\) | −3.85971 | + | 0.995621i | −0.140655 | + | 0.0362825i | ||||
\(754\) | 3.23382 | + | 10.1460i | 0.117769 | + | 0.369496i | ||||
\(755\) | 25.7932 | − | 30.5453i | 0.938710 | − | 1.11166i | ||||
\(756\) | 5.84545 | − | 0.328273i | 0.212597 | − | 0.0119392i | ||||
\(757\) | −5.29368 | + | 7.46074i | −0.192402 | + | 0.271165i | −0.900413 | − | 0.435036i | \(-0.856736\pi\) |
0.708011 | + | 0.706201i | \(0.249593\pi\) | |||||||
\(758\) | 86.4197 | + | 2.42470i | 3.13890 | + | 0.0880691i | ||||
\(759\) | −11.7717 | + | 0.992931i | −0.427285 | + | 0.0360411i | ||||
\(760\) | 3.97710 | − | 5.28463i | 0.144264 | − | 0.191694i | ||||
\(761\) | −13.9980 | − | 8.79551i | −0.507426 | − | 0.318837i | 0.253873 | − | 0.967237i | \(-0.418295\pi\) |
−0.761299 | + | 0.648401i | \(0.775438\pi\) | |||||||
\(762\) | 64.1494 | − | 9.05639i | 2.32389 | − | 0.328078i | ||||
\(763\) | 0.788966 | + | 0.227297i | 0.0285625 | + | 0.00822871i | ||||
\(764\) | −11.1065 | + | 48.6608i | −0.401820 | + | 1.76049i | ||||
\(765\) | −15.4125 | + | 17.1307i | −0.557242 | + | 0.619362i | ||||
\(766\) | 14.1040 | + | 61.7938i | 0.509599 | + | 2.23270i | ||||
\(767\) | 20.8746 | + | 50.3957i | 0.753738 | + | 1.81968i | ||||
\(768\) | −18.6181 | + | 12.4402i | −0.671822 | + | 0.448897i | ||||
\(769\) | −5.18539 | − | 3.25820i | −0.186990 | − | 0.117494i | 0.435284 | − | 0.900293i | \(-0.356648\pi\) |
−0.622274 | + | 0.782800i | \(0.713791\pi\) | |||||||
\(770\) | 2.84287 | + | 5.50290i | 0.102450 | + | 0.198311i | ||||
\(771\) | 1.76785 | − | 12.5223i | 0.0636675 | − | 0.450978i | ||||
\(772\) | 27.2905 | − | 105.796i | 0.982206 | − | 3.80770i | ||||
\(773\) | 4.10346 | − | 9.90662i | 0.147591 | − | 0.356316i | −0.832744 | − | 0.553659i | \(-0.813231\pi\) |
0.980335 | + | 0.197343i | \(0.0632311\pi\) | |||||||
\(774\) | 26.0547 | − | 13.2790i | 0.936516 | − | 0.477304i | ||||
\(775\) | −20.4721 | + | 4.07216i | −0.735381 | + | 0.146276i | ||||
\(776\) | −113.848 | + | 67.1573i | −4.08691 | + | 2.41081i | ||||
\(777\) | 0.494654 | + | 1.91761i | 0.0177456 | + | 0.0687940i | ||||
\(778\) | 2.98305 | − | 26.4753i | 0.106948 | − | 0.949187i | ||||
\(779\) | 0.323308 | − | 0.341974i | 0.0115837 | − | 0.0122525i | ||||
\(780\) | 107.682 | − | 44.6035i | 3.85565 | − | 1.59706i | ||||
\(781\) | 23.9898 | 0.858424 | ||||||||
\(782\) | −18.6173 | − | 29.8510i | −0.665754 | − | 1.06747i | ||||
\(783\) | 2.05534 | − | 2.57731i | 0.0734517 | − | 0.0921056i | ||||
\(784\) | −62.2914 | + | 10.5837i | −2.22469 | + | 0.377990i | ||||
\(785\) | 20.4139 | + | 1.72189i | 0.728602 | + | 0.0614568i | ||||
\(786\) | 3.23310 | + | 9.23968i | 0.115321 | + | 0.329568i | ||||
\(787\) | 34.6475 | − | 0.972115i | 1.23505 | − | 0.0346522i | 0.595470 | − | 0.803377i | \(-0.296966\pi\) |
0.639579 | + | 0.768725i | \(0.279109\pi\) | |||||||
\(788\) | −58.6552 | + | 34.5998i | −2.08951 | + | 1.23257i | ||||
\(789\) | −15.8030 | + | 18.7145i | −0.562601 | + | 0.666254i | ||||
\(790\) | 34.2000 | − | 48.2003i | 1.21678 | − | 1.71489i | ||||
\(791\) | 0.435719 | + | 0.309159i | 0.0154924 | + | 0.0109924i | ||||
\(792\) | 23.4540 | + | 31.1649i | 0.833402 | + | 1.10740i | ||||
\(793\) | 66.4492 | − | 5.60492i | 2.35968 | − | 0.199037i | ||||
\(794\) | 22.4171 | + | 26.5472i | 0.795554 | + | 0.942126i | ||||
\(795\) | 43.0335 | + | 15.0581i | 1.52624 | + | 0.534055i | ||||
\(796\) | −20.1541 | − | 11.8886i | −0.714343 | − | 0.421380i | ||||
\(797\) | −8.79093 | + | 30.5140i | −0.311391 | + | 1.08086i | 0.638847 | + | 0.769334i | \(0.279412\pi\) |
−0.950237 | + | 0.311527i | \(0.899160\pi\) | |||||||
\(798\) | −0.150511 | + | 0.120029i | −0.00532805 | + | 0.00424898i | ||||
\(799\) | 4.18826 | + | 21.4311i | 0.148170 | + | 0.758178i | ||||
\(800\) | 50.9658 | + | 11.6326i | 1.80191 | + | 0.411275i | ||||
\(801\) | −1.04028 | − | 6.12263i | −0.0367564 | − | 0.216333i | ||||
\(802\) | 83.1191 | + | 26.4924i | 2.93504 | + | 0.935480i | ||||
\(803\) | −14.0180 | − | 40.0611i | −0.494684 | − | 1.41373i | ||||
\(804\) | −0.728737 | − | 25.9732i | −0.0257006 | − | 0.916003i | ||||
\(805\) | −2.12237 | + | 1.25195i | −0.0748037 | + | 0.0441255i | ||||
\(806\) | −29.4890 | + | 57.0816i | −1.03871 | + | 2.01061i | ||||
\(807\) | 20.7792 | + | 14.7436i | 0.731462 | + | 0.519000i | ||||
\(808\) | −58.3953 | + | 32.2739i | −2.05434 | + | 1.13539i | ||||
\(809\) | −10.3719 | − | 23.1789i | −0.364657 | − | 0.814928i | −0.999119 | − | 0.0419740i | \(-0.986635\pi\) |
0.634462 | − | 0.772954i | \(-0.281222\pi\) | |||||||
\(810\) | −6.38888 | − | 4.26891i | −0.224482 | − | 0.149994i | ||||
\(811\) | 9.55072 | − | 48.0147i | 0.335371 | − | 1.68602i | −0.333583 | − | 0.942721i | \(-0.608258\pi\) |
0.668954 | − | 0.743304i | \(-0.266742\pi\) | |||||||
\(812\) | 0.359559 | − | 0.572236i | 0.0126181 | − | 0.0200815i | ||||
\(813\) | −6.85898 | + | 21.5198i | −0.240555 | + | 0.754733i | ||||
\(814\) | −41.7061 | + | 46.6691i | −1.46180 | + | 1.63575i | ||||
\(815\) | −17.6355 | + | 36.6204i | −0.617743 | + | 1.28276i | ||||
\(816\) | 18.5660 | − | 38.2243i | 0.649940 | − | 1.33812i | ||||
\(817\) | −0.862878 | + | 1.64795i | −0.0301883 | + | 0.0576546i | ||||
\(818\) | −7.28541 | − | 17.5885i | −0.254728 | − | 0.614968i | ||||
\(819\) | 2.60066 | − | 0.367152i | 0.0908743 | − | 0.0128293i | ||||
\(820\) | 24.2479 | + | 8.48470i | 0.846773 | + | 0.296299i | ||||
\(821\) | 15.8762 | − | 8.20186i | 0.554084 | − | 0.286247i | −0.159054 | − | 0.987270i | \(-0.550844\pi\) |
0.713139 | + | 0.701023i | \(0.247273\pi\) | |||||||
\(822\) | −5.75278 | + | 15.0707i | −0.200651 | + | 0.525650i | ||||
\(823\) | 1.16991 | + | 5.88152i | 0.0407804 | + | 0.205017i | 0.995804 | − | 0.0915133i | \(-0.0291704\pi\) |
−0.955023 | + | 0.296530i | \(0.904170\pi\) | |||||||
\(824\) | 29.0423 | − | 70.1144i | 1.01174 | − | 2.44255i | ||||
\(825\) | 3.38031 | − | 19.8951i | 0.117687 | − | 0.692658i | ||||
\(826\) | 2.25733 | − | 4.36948i | 0.0785424 | − | 0.152034i | ||||
\(827\) | −18.6658 | + | 17.6470i | −0.649074 | + | 0.613646i | −0.939211 | − | 0.343339i | \(-0.888442\pi\) |
0.290137 | + | 0.956985i | \(0.406299\pi\) | |||||||
\(828\) | −20.4643 | + | 17.2806i | −0.711185 | + | 0.600542i | ||||
\(829\) | −14.2606 | + | 4.99000i | −0.495292 | + | 0.173310i | −0.566354 | − | 0.824162i | \(-0.691647\pi\) |
0.0710628 | + | 0.997472i | \(0.477361\pi\) | |||||||
\(830\) | 46.0497 | + | 43.5362i | 1.59841 | + | 1.51116i | ||||
\(831\) | 3.28201 | + | 0.184314i | 0.113852 | + | 0.00639377i | ||||
\(832\) | 31.3373 | − | 24.9907i | 1.08643 | − | 0.866397i | ||||
\(833\) | −21.9460 | + | 18.4061i | −0.760384 | + | 0.637732i | ||||
\(834\) | −11.3580 | + | 49.7628i | −0.393296 | + | 1.72314i | ||||
\(835\) | 23.8116 | − | 26.6452i | 0.824036 | − | 0.922096i | ||||
\(836\) | −4.08041 | − | 1.30054i | −0.141124 | − | 0.0449803i | ||||
\(837\) | 19.7640 | − | 2.22687i | 0.683144 | − | 0.0769718i | ||||
\(838\) | 24.8758 | + | 96.4355i | 0.859320 | + | 3.33131i | ||||
\(839\) | 37.1747 | + | 5.24819i | 1.28341 | + | 0.181188i | 0.748168 | − | 0.663509i | \(-0.230934\pi\) |
0.535244 | + | 0.844697i | \(0.320219\pi\) | |||||||
\(840\) | −5.40891 | − | 2.79431i | −0.186625 | − | 0.0964129i | ||||
\(841\) | 7.92289 | + | 27.5009i | 0.273203 | + | 0.948309i | ||||
\(842\) | 1.51135 | + | 26.9120i | 0.0520844 | + | 0.927449i | ||||
\(843\) | −26.6739 | − | 0.748398i | −0.918699 | − | 0.0257762i | ||||
\(844\) | 71.7265 | + | 75.8676i | 2.46893 | + | 2.61147i | ||||
\(845\) | 90.0533 | − | 46.5226i | 3.09793 | − | 1.60043i | ||||
\(846\) | 22.2932 | − | 7.80071i | 0.766454 | − | 0.268194i | ||||
\(847\) | −0.145152 | + | 0.153532i | −0.00498747 | + | 0.00527542i | ||||
\(848\) | 112.177 | + | 6.29974i | 3.85218 | + | 0.216334i | ||||
\(849\) | −2.99135 | + | 3.75104i | −0.102663 | + | 0.128735i | ||||
\(850\) | 57.3198 | − | 18.0580i | 1.96605 | − | 0.619383i | ||||
\(851\) | −19.4675 | − | 15.5248i | −0.667338 | − | 0.532185i | ||||
\(852\) | −33.1950 | + | 23.5531i | −1.13724 | + | 0.806916i | ||||
\(853\) | −0.832505 | − | 1.24593i | −0.0285044 | − | 0.0426599i | 0.816944 | − | 0.576717i | \(-0.195667\pi\) |
−0.845448 | + | 0.534057i | \(0.820667\pi\) | |||||||
\(854\) | −4.25143 | − | 4.25143i | −0.145481 | − | 0.145481i | ||||
\(855\) | −1.58481 | + | 0.0444656i | −0.0541995 | + | 0.00152069i | ||||
\(856\) | −0.564929 | − | 6.69752i | −0.0193089 | − | 0.228917i | ||||
\(857\) | −10.2213 | − | 13.5817i | −0.349153 | − | 0.463943i | 0.590019 | − | 0.807389i | \(-0.299120\pi\) |
−0.939173 | + | 0.343446i | \(0.888406\pi\) | |||||||
\(858\) | −41.3906 | − | 46.3161i | −1.41305 | − | 1.58121i | ||||
\(859\) | 38.9941 | + | 16.1519i | 1.33046 | + | 0.551095i | 0.930787 | − | 0.365563i | \(-0.119123\pi\) |
0.399674 | + | 0.916657i | \(0.369123\pi\) | |||||||
\(860\) | −101.351 | − | 6.25154i | −3.45603 | − | 0.213176i | ||||
\(861\) | −0.360185 | − | 0.240668i | −0.0122751 | − | 0.00820193i | ||||
\(862\) | −41.1001 | + | 54.6124i | −1.39987 | + | 1.86011i | ||||
\(863\) | −1.79353 | + | 5.12562i | −0.0610525 | + | 0.174478i | −0.970369 | − | 0.241626i | \(-0.922319\pi\) |
0.909317 | + | 0.416104i | \(0.136605\pi\) | |||||||
\(864\) | −47.4593 | − | 15.1266i | −1.61460 | − | 0.514619i | ||||
\(865\) | 10.1026 | − | 7.16820i | 0.343500 | − | 0.243726i | ||||
\(866\) | 57.3524i | 1.94892i | ||||||||
\(867\) | −1.49037 | − | 19.2061i | −0.0506156 | − | 0.652272i | ||||
\(868\) | 3.97527 | − | 0.907329i | 0.134929 | − | 0.0307967i | ||||
\(869\) | −21.3040 | − | 6.13757i | −0.722687 | − | 0.208203i | ||||
\(870\) | −5.52796 | + | 2.11013i | −0.187415 | + | 0.0715402i | ||||
\(871\) | −3.58682 | − | 31.8339i | −0.121535 | − | 1.07865i | ||||
\(872\) | −20.3794 | − | 15.3371i | −0.690135 | − | 0.519380i | ||||
\(873\) | 29.6016 | + | 11.2995i | 1.00186 | + | 0.382431i | ||||
\(874\) | 0.604583 | − | 2.34377i | 0.0204503 | − | 0.0792794i | ||||
\(875\) | −0.126402 | − | 0.438752i | −0.00427318 | − | 0.0148325i | ||||
\(876\) | 58.7286 | + | 41.6702i | 1.98426 | + | 1.40791i | ||||
\(877\) | −0.632280 | + | 22.5353i | −0.0213506 | + | 0.760964i | 0.913688 | + | 0.406417i | \(0.133222\pi\) |
−0.935038 | + | 0.354547i | \(0.884635\pi\) | |||||||
\(878\) | 8.73052 | − | 61.8411i | 0.294641 | − | 2.08704i | ||||
\(879\) | 21.9358 | − | 11.3323i | 0.739875 | − | 0.382229i | ||||
\(880\) | −10.5322 | − | 93.4757i | −0.355040 | − | 3.15107i | ||||
\(881\) | −1.94115 | + | 3.29073i | −0.0653992 | + | 0.110868i | −0.892227 | − | 0.451588i | \(-0.850858\pi\) |
0.826827 | + | 0.562456i | \(0.190143\pi\) | |||||||
\(882\) | 23.1002 | + | 20.6436i | 0.777824 | + | 0.695106i | ||||
\(883\) | −1.04071 | − | 0.829941i | −0.0350228 | − | 0.0279297i | 0.605822 | − | 0.795600i | \(-0.292844\pi\) |
−0.640845 | + | 0.767670i | \(0.721416\pi\) | |||||||
\(884\) | 46.8425 | − | 121.490i | 1.57548 | − | 4.08615i | ||||
\(885\) | −27.3077 | + | 13.1507i | −0.917940 | + | 0.442056i | ||||
\(886\) | 14.3001 | + | 84.1645i | 0.480422 | + | 2.82756i | ||||
\(887\) | −18.5202 | − | 48.5177i | −0.621847 | − | 1.62907i | −0.768479 | − | 0.639874i | \(-0.778986\pi\) |
0.146632 | − | 0.989191i | \(-0.453157\pi\) | |||||||
\(888\) | 6.88807 | − | 61.1333i | 0.231148 | − | 2.05150i | ||||
\(889\) | −4.05035 | − | 3.04820i | −0.135844 | − | 0.102233i | ||||
\(890\) | −10.9255 | + | 28.6217i | −0.366223 | + | 0.959402i | ||||
\(891\) | −0.719963 | + | 2.79107i | −0.0241197 | + | 0.0935043i | ||||
\(892\) | 0.585024 | + | 1.05852i | 0.0195880 | + | 0.0354419i | ||||
\(893\) | −0.869390 | + | 1.22529i | −0.0290930 | + | 0.0410028i | ||||
\(894\) | 33.5876 | + | 17.3518i | 1.12334 | + | 0.580330i | ||||
\(895\) | 22.3562 | − | 58.5671i | 0.747286 | − | 1.95768i | ||||
\(896\) | 0.668886 | + | 0.133050i | 0.0223459 | + | 0.00444488i | ||||
\(897\) | 17.4737 | − | 17.4737i | 0.583431 | − | 0.583431i | ||||
\(898\) | −5.51101 | − | 5.21020i | −0.183905 | − | 0.173867i | ||||
\(899\) | 1.11055 | − | 2.00939i | 0.0370390 | − | 0.0670170i | ||||
\(900\) | −19.8520 | − | 41.2231i | −0.661733 | − | 1.37410i | ||||
\(901\) | 45.3290 | − | 23.2253i | 1.51013 | − | 0.773747i | ||||
\(902\) | − | 13.6908i | − | 0.455853i | ||||||
\(903\) | 1.62853 | + | 0.528951i | 0.0541941 | + | 0.0176024i | ||||
\(904\) | −9.22054 | − | 13.7995i | −0.306671 | − | 0.458965i | ||||
\(905\) | 3.85886 | + | 11.0280i | 0.128273 | + | 0.366583i | ||||
\(906\) | 35.0027 | − | 9.02905i | 1.16289 | − | 0.299970i | ||||
\(907\) | −31.9154 | + | 2.69203i | −1.05973 | + | 0.0893874i | −0.601049 | − | 0.799212i | \(-0.705250\pi\) |
−0.458684 | + | 0.888600i | \(0.651679\pi\) | |||||||
\(908\) | −18.3694 | − | 41.0516i | −0.609610 | − | 1.36234i | ||||
\(909\) | 14.7761 | + | 6.12048i | 0.490094 | + | 0.203003i | ||||
\(910\) | −11.9701 | − | 4.95819i | −0.396806 | − | 0.164362i | ||||
\(911\) | 1.85599 | − | 0.830501i | 0.0614916 | − | 0.0275157i | −0.377467 | − | 0.926023i | \(-0.623205\pi\) |
0.438958 | + | 0.898507i | \(0.355348\pi\) | |||||||
\(912\) | 2.78563 | − | 0.887861i | 0.0922415 | − | 0.0294000i | ||||
\(913\) | 9.70977 | − | 21.6992i | 0.321347 | − | 0.718139i | ||||
\(914\) | −97.1951 | + | 10.9513i | −3.21493 | + | 0.362236i | ||||
\(915\) | 5.17969 | + | 36.6895i | 0.171235 | + | 1.21292i | ||||
\(916\) | 70.7430 | + | 99.7030i | 2.33742 | + | 3.29428i | ||||
\(917\) | 0.332333 | − | 0.690097i | 0.0109746 | − | 0.0227890i | ||||
\(918\) | −55.8702 | + | 12.5551i | −1.84399 | + | 0.414379i | ||||
\(919\) | 0.928427 | − | 4.06770i | 0.0306260 | − | 0.134181i | −0.957304 | − | 0.289084i | \(-0.906649\pi\) |
0.987930 | + | 0.154903i | \(0.0495065\pi\) | |||||||
\(920\) | 75.4653 | − | 12.8221i | 2.48802 | − | 0.422731i | ||||
\(921\) | 0.425557 | − | 0.721424i | 0.0140226 | − | 0.0237717i | ||||
\(922\) | −10.5671 | + | 93.7857i | −0.348009 | + | 3.08867i | ||||
\(923\) | −38.3411 | + | 32.3762i | −1.26201 | + | 1.06567i | ||||
\(924\) | −0.551071 | + | 3.90342i | −0.0181289 | + | 0.128413i | ||||
\(925\) | 33.9858 | − | 25.5770i | 1.11745 | − | 0.840965i | ||||
\(926\) | 0.648326 | − | 0.358317i | 0.0213053 | − | 0.0117750i | ||||
\(927\) | −17.4809 | + | 5.03617i | −0.574150 | + | 0.165410i | ||||
\(928\) | −4.59426 | + | 3.45753i | −0.150814 | + | 0.113499i | ||||
\(929\) | −23.2571 | − | 24.5999i | −0.763042 | − | 0.807096i | 0.222784 | − | 0.974868i | \(-0.428486\pi\) |
−0.985826 | + | 0.167772i | \(0.946343\pi\) | |||||||
\(930\) | −32.5860 | − | 14.5813i | −1.06854 | − | 0.478139i | ||||
\(931\) | −1.95828 | − | 0.220645i | −0.0641801 | − | 0.00723136i | ||||
\(932\) | 6.38730 | + | 45.2433i | 0.209223 | + | 1.48200i | ||||
\(933\) | 3.53166 | − | 2.50585i | 0.115622 | − | 0.0820378i | ||||
\(934\) | −35.3899 | + | 73.4879i | −1.15799 | + | 2.40460i | ||||
\(935\) | −25.5275 | − | 34.1578i | −0.834837 | − | 1.11708i | ||||
\(936\) | −79.5442 | − | 18.1554i | −2.59998 | − | 0.593429i | ||||
\(937\) | 13.1330 | − | 45.5857i | 0.429037 | − | 1.48922i | −0.392867 | − | 0.919595i | \(-0.628517\pi\) |
0.821904 | − | 0.569626i | \(-0.192912\pi\) | |||||||
\(938\) | −1.98429 | + | 2.09885i | −0.0647893 | + | 0.0685298i | ||||
\(939\) | 6.48848 | − | 6.48848i | 0.211744 | − | 0.211744i | ||||
\(940\) | −80.4359 | − | 15.9997i | −2.62353 | − | 0.521853i | ||||
\(941\) | 18.5217 | + | 7.07011i | 0.603791 | + | 0.230479i | 0.639384 | − | 0.768887i | \(-0.279189\pi\) |
−0.0355937 | + | 0.999366i | \(0.511332\pi\) | |||||||
\(942\) | 14.1527 | + | 11.9509i | 0.461121 | + | 0.389382i | ||||
\(943\) | 5.43805 | − | 0.305394i | 0.177087 | − | 0.00994501i | ||||
\(944\) | −55.6937 | + | 49.7709i | −1.81268 | + | 1.61991i | ||||
\(945\) | 0.782471 | + | 3.93375i | 0.0254538 | + | 0.127965i | ||||
\(946\) | 14.6947 | + | 52.0824i | 0.477766 | + | 1.69335i | ||||
\(947\) | 28.0459 | + | 5.57868i | 0.911370 | + | 0.181283i | 0.628440 | − | 0.777858i | \(-0.283694\pi\) |
0.282930 | + | 0.959141i | \(0.408694\pi\) | |||||||
\(948\) | 35.5043 | − | 12.4235i | 1.15313 | − | 0.403497i | ||||
\(949\) | 76.4694 | + | 45.1082i | 2.48230 | + | 1.46427i | ||||
\(950\) | 3.61885 | + | 2.00007i | 0.117411 | + | 0.0648908i | ||||
\(951\) | −4.10469 | − | 17.9838i | −0.133104 | − | 0.583165i | ||||
\(952\) | −6.42705 | + | 2.22476i | −0.208302 | + | 0.0721050i | ||||
\(953\) | 1.82449i | 0.0591011i | 0.999563 | + | 0.0295505i | \(0.00940760\pi\) | ||||
−0.999563 | + | 0.0295505i | \(0.990592\pi\) | |||||||
\(954\) | −31.8785 | − | 44.9285i | −1.03210 | − | 1.45461i | ||||
\(955\) | −34.0721 | − | 2.87395i | −1.10255 | − | 0.0929987i | ||||
\(956\) | 0.798706 | + | 1.27113i | 0.0258320 | + | 0.0411114i | ||||
\(957\) | 1.43205 | + | 1.69589i | 0.0462916 | + | 0.0548203i | ||||
\(958\) | −24.0490 | − | 40.7689i | −0.776986 | − | 1.31718i | ||||
\(959\) | 1.15213 | − | 0.515543i | 0.0372041 | − | 0.0166478i | ||||
\(960\) | 14.8404 | + | 16.6065i | 0.478973 | + | 0.535971i | ||||
\(961\) | −16.4780 | + | 4.74723i | −0.531548 | + | 0.153136i | ||||
\(962\) | 3.67195 | − | 130.873i | 0.118388 | − | 4.21952i | ||||
\(963\) | −1.17077 | + | 1.10687i | −0.0377276 | + | 0.0356683i | ||||
\(964\) | 8.89077 | + | 34.4667i | 0.286352 | + | 1.11010i | ||||
\(965\) | 74.3792 | + | 8.38052i | 2.39435 | + | 0.269779i | ||||
\(966\) | −2.22015 | − | 0.187267i | −0.0714321 | − | 0.00602522i | ||||
\(967\) | 1.49728 | − | 1.67546i | 0.0481492 | − | 0.0538790i | −0.721081 | − | 0.692851i | \(-0.756354\pi\) |
0.769230 | + | 0.638972i | \(0.220640\pi\) | |||||||
\(968\) | 5.91350 | − | 2.84779i | 0.190067 | − | 0.0915315i | ||||
\(969\) | 0.886472 | − | 0.985293i | 0.0284776 | − | 0.0316522i | ||||
\(970\) | −97.4533 | − | 122.203i | −3.12904 | − | 3.92369i | ||||
\(971\) | −30.3987 | − | 27.1660i | −0.975541 | − | 0.871797i | 0.0162237 | − | 0.999868i | \(-0.494836\pi\) |
−0.991765 | + | 0.128071i | \(0.959121\pi\) | |||||||
\(972\) | 25.4381 | + | 66.6406i | 0.815926 | + | 2.13750i | ||||
\(973\) | 3.38171 | − | 2.12487i | 0.108413 | − | 0.0681201i | ||||
\(974\) | −28.2205 | − | 54.6261i | −0.904244 | − | 1.75033i | ||||
\(975\) | 21.4475 | + | 36.3588i | 0.686869 | + | 1.16441i | ||||
\(976\) | 37.2958 | + | 83.3478i | 1.19381 | + | 2.66790i | ||||
\(977\) | −19.0570 | − | 21.3248i | −0.609687 | − | 0.682240i | 0.358195 | − | 0.933647i | \(-0.383392\pi\) |
−0.967881 | + | 0.251407i | \(0.919107\pi\) | |||||||
\(978\) | −32.1657 | + | 17.7774i | −1.02855 | + | 0.568458i | ||||
\(979\) | 11.4880 | + | 0.322321i | 0.367157 | + | 0.0103014i | ||||
\(980\) | −32.6678 | − | 102.494i | −1.04353 | − | 3.27405i | ||||
\(981\) | 0.171475 | + | 6.11161i | 0.00547478 | + | 0.195129i | ||||
\(982\) | −40.6095 | − | 40.6095i | −1.29590 | − | 1.29590i | ||||
\(983\) | 24.4932 | + | 36.6567i | 0.781213 | + | 1.16917i | 0.981879 | + | 0.189508i | \(0.0606892\pi\) |
−0.200667 | + | 0.979660i | \(0.564311\pi\) | |||||||
\(984\) | 7.78714 | + | 10.9750i | 0.248245 | + | 0.349869i | ||||
\(985\) | −29.0875 | − | 36.4746i | −0.926805 | − | 1.16218i | ||||
\(986\) | −2.55005 | + | 6.09844i | −0.0812100 | + | 0.194214i | ||||
\(987\) | 1.24597 | + | 0.600030i | 0.0396598 | + | 0.0190992i | ||||
\(988\) | 8.27659 | − | 3.42827i | 0.263313 | − | 0.109068i | ||||
\(989\) | −20.3596 | + | 6.99860i | −0.647399 | + | 0.222542i | ||||
\(990\) | −32.6137 | + | 32.6137i | −1.03653 | + | 1.03653i | ||||
\(991\) | −13.0243 | − | 9.80181i | −0.413731 | − | 0.311365i | 0.373949 | − | 0.927449i | \(-0.378004\pi\) |
−0.787680 | + | 0.616085i | \(0.788718\pi\) | |||||||
\(992\) | −34.3509 | − | 4.84954i | −1.09064 | − | 0.153973i | ||||
\(993\) | −16.2035 | + | 19.1888i | −0.514203 | + | 0.608939i | ||||
\(994\) | 4.46057 | + | 0.757881i | 0.141481 | + | 0.0240385i | ||||
\(995\) | 6.13441 | − | 14.8098i | 0.194474 | − | 0.469502i | ||||
\(996\) | 7.86866 | + | 39.5584i | 0.249328 | + | 1.25346i | ||||
\(997\) | −45.7305 | − | 17.4563i | −1.44830 | − | 0.552845i | −0.498830 | − | 0.866700i | \(-0.666237\pi\) |
−0.949471 | + | 0.313854i | \(0.898380\pi\) | |||||||
\(998\) | −1.48423 | + | 1.25332i | −0.0469824 | + | 0.0396731i | ||||
\(999\) | −34.3172 | + | 21.5630i | −1.08575 | + | 0.682222i |
(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 | 731.2.bj.a.22.4 | ✓ | 3072 | |
17.7 | odd | 16 | inner | 731.2.bj.a.194.61 | yes | 3072 | |
43.2 | odd | 14 | inner | 731.2.bj.a.260.61 | yes | 3072 | |
731.432 | even | 112 | inner | 731.2.bj.a.432.4 | yes | 3072 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.bj.a.22.4 | ✓ | 3072 | 1.1 | even | 1 | trivial | |
731.2.bj.a.194.61 | yes | 3072 | 17.7 | odd | 16 | inner | |
731.2.bj.a.260.61 | yes | 3072 | 43.2 | odd | 14 | inner | |
731.2.bj.a.432.4 | yes | 3072 | 731.432 | even | 112 | inner |