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 | 22.20 | ||
Character | \(\chi\) | \(=\) | 731.22 |
Dual form | 731.2.bj.a.432.20 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.32882 | − | 0.0746250i | −0.939618 | − | 0.0527678i | −0.420334 | − | 0.907369i | \(-0.638087\pi\) |
−0.519284 | + | 0.854602i | \(0.673801\pi\) | |||||||
\(3\) | −0.509080 | + | 0.863016i | −0.293917 | + | 0.498262i | −0.971454 | − | 0.237226i | \(-0.923762\pi\) |
0.677537 | + | 0.735489i | \(0.263047\pi\) | |||||||
\(4\) | −0.227228 | − | 0.0256025i | −0.113614 | − | 0.0128012i | ||||
\(5\) | 0.0579141 | + | 2.06414i | 0.0259000 | + | 0.923110i | 0.899618 | + | 0.436677i | \(0.143845\pi\) |
−0.873718 | + | 0.486432i | \(0.838298\pi\) | |||||||
\(6\) | 0.740879 | − | 1.10880i | 0.302462 | − | 0.452667i | ||||
\(7\) | 4.35710 | − | 0.866681i | 1.64683 | − | 0.327574i | 0.717423 | − | 0.696637i | \(-0.245321\pi\) |
0.929404 | + | 0.369063i | \(0.120321\pi\) | |||||||
\(8\) | 2.92426 | + | 0.496851i | 1.03388 | + | 0.175663i | ||||
\(9\) | 0.965523 | + | 1.74698i | 0.321841 | + | 0.582327i | ||||
\(10\) | 0.0770787 | − | 2.74719i | 0.0243744 | − | 0.868737i | ||||
\(11\) | −0.795796 | + | 0.253643i | −0.239941 | + | 0.0764762i | −0.421230 | − | 0.906954i | \(-0.638402\pi\) |
0.181289 | + | 0.983430i | \(0.441973\pi\) | |||||||
\(12\) | 0.137773 | − | 0.183068i | 0.0397715 | − | 0.0528471i | ||||
\(13\) | 1.54013 | − | 2.45110i | 0.427154 | − | 0.679812i | −0.561926 | − | 0.827187i | \(-0.689940\pi\) |
0.989081 | + | 0.147375i | \(0.0470825\pi\) | |||||||
\(14\) | −5.85448 | + | 0.826515i | −1.56468 | + | 0.220895i | ||||
\(15\) | −1.81086 | − | 1.00083i | −0.467563 | − | 0.258413i | ||||
\(16\) | −3.40287 | − | 0.776683i | −0.850717 | − | 0.194171i | ||||
\(17\) | 3.93157 | − | 1.24209i | 0.953545 | − | 0.301250i | ||||
\(18\) | −1.15264 | − | 2.39348i | −0.271680 | − | 0.564148i | ||||
\(19\) | 0.153411 | + | 0.0847871i | 0.0351948 | + | 0.0194515i | 0.501219 | − | 0.865321i | \(-0.332885\pi\) |
−0.466024 | + | 0.884772i | \(0.654314\pi\) | |||||||
\(20\) | 0.0396873 | − | 0.470513i | 0.00887434 | − | 0.105210i | ||||
\(21\) | −1.47015 | + | 4.20145i | −0.320813 | + | 0.916832i | ||||
\(22\) | 1.07640 | − | 0.277660i | 0.229489 | − | 0.0591973i | ||||
\(23\) | −2.67861 | − | 8.40403i | −0.558528 | − | 1.75236i | −0.653547 | − | 0.756886i | \(-0.726720\pi\) |
0.0950193 | − | 0.995475i | \(-0.469709\pi\) | |||||||
\(24\) | −1.91747 | + | 2.27074i | −0.391402 | + | 0.463513i | ||||
\(25\) | 0.734831 | − | 0.0412672i | 0.146966 | − | 0.00825345i | ||||
\(26\) | −2.22947 | + | 3.14214i | −0.437234 | + | 0.616224i | ||||
\(27\) | −5.00395 | − | 0.140397i | −0.963011 | − | 0.0270195i | ||||
\(28\) | −1.01224 | + | 0.0853818i | −0.191296 | + | 0.0161356i | ||||
\(29\) | 0.0236425 | − | 0.0314154i | 0.00439031 | − | 0.00583370i | −0.796810 | − | 0.604230i | \(-0.793481\pi\) |
0.801200 | + | 0.598396i | \(0.204195\pi\) | |||||||
\(30\) | 2.33163 | + | 1.46506i | 0.425695 | + | 0.267482i | ||||
\(31\) | 8.48690 | − | 1.19815i | 1.52429 | − | 0.215194i | 0.672904 | − | 0.739730i | \(-0.265047\pi\) |
0.851388 | + | 0.524536i | \(0.175761\pi\) | |||||||
\(32\) | −1.23663 | − | 0.356268i | −0.218608 | − | 0.0629799i | ||||
\(33\) | 0.186226 | − | 0.815909i | 0.0324178 | − | 0.142032i | ||||
\(34\) | −5.31704 | + | 1.35712i | −0.911865 | + | 0.232744i | ||||
\(35\) | 2.04128 | + | 8.94345i | 0.345040 | + | 1.51172i | ||||
\(36\) | −0.174667 | − | 0.421683i | −0.0291112 | − | 0.0702805i | ||||
\(37\) | 8.39920 | − | 5.61217i | 1.38082 | − | 0.922635i | 0.380823 | − | 0.924648i | \(-0.375641\pi\) |
0.999998 | + | 0.00201320i | \(0.000640821\pi\) | |||||||
\(38\) | −0.197528 | − | 0.124115i | −0.0320433 | − | 0.0201341i | ||||
\(39\) | 1.33129 | + | 2.57696i | 0.213177 | + | 0.412644i | ||||
\(40\) | −0.856212 | + | 6.06484i | −0.135379 | + | 0.958935i | ||||
\(41\) | −2.35440 | + | 9.12727i | −0.367696 | + | 1.42544i | 0.471623 | + | 0.881801i | \(0.343668\pi\) |
−0.839319 | + | 0.543640i | \(0.817046\pi\) | |||||||
\(42\) | 2.26710 | − | 5.47327i | 0.349821 | − | 0.844544i | ||||
\(43\) | 0.675998 | + | 6.52250i | 0.103089 | + | 0.994672i | ||||
\(44\) | 0.187321 | − | 0.0372605i | 0.0282397 | − | 0.00561723i | ||||
\(45\) | −3.55009 | + | 2.09415i | −0.529216 | + | 0.312177i | ||||
\(46\) | 2.93224 | + | 11.3673i | 0.432335 | + | 1.67602i | ||||
\(47\) | −0.217984 | + | 1.93466i | −0.0317962 | + | 0.282199i | 0.967746 | + | 0.251930i | \(0.0810651\pi\) |
−0.999542 | + | 0.0302695i | \(0.990363\pi\) | |||||||
\(48\) | 2.40262 | − | 2.54134i | 0.346789 | − | 0.366810i | ||||
\(49\) | 11.7660 | − | 4.87364i | 1.68086 | − | 0.696234i | ||||
\(50\) | −0.979539 | −0.138528 | ||||||||
\(51\) | −0.929541 | + | 4.02533i | −0.130162 | + | 0.563658i | ||||
\(52\) | −0.412714 | + | 0.517527i | −0.0572332 | + | 0.0717681i | ||||
\(53\) | 1.06434 | − | 0.180838i | 0.146198 | − | 0.0248401i | −0.0939461 | − | 0.995577i | \(-0.529948\pi\) |
0.240144 | + | 0.970737i | \(0.422805\pi\) | |||||||
\(54\) | 6.63888 | + | 0.559983i | 0.903437 | + | 0.0762040i | ||||
\(55\) | −0.569641 | − | 1.62794i | −0.0768104 | − | 0.219512i | ||||
\(56\) | 13.1719 | − | 0.369567i | 1.76017 | − | 0.0493855i | ||||
\(57\) | −0.151271 | + | 0.0892324i | −0.0200363 | + | 0.0118191i | ||||
\(58\) | −0.0337611 | + | 0.0399812i | −0.00443305 | + | 0.00524979i | ||||
\(59\) | −4.76675 | + | 6.71810i | −0.620578 | + | 0.874622i | −0.998692 | − | 0.0511366i | \(-0.983716\pi\) |
0.378114 | + | 0.925759i | \(0.376573\pi\) | |||||||
\(60\) | 0.385856 | + | 0.273779i | 0.0498138 | + | 0.0353447i | ||||
\(61\) | 2.36493 | + | 3.14244i | 0.302798 | + | 0.402348i | 0.924669 | − | 0.380771i | \(-0.124342\pi\) |
−0.621871 | + | 0.783120i | \(0.713627\pi\) | |||||||
\(62\) | −11.3670 | + | 0.958793i | −1.44361 | + | 0.121767i | ||||
\(63\) | 5.72095 | + | 6.77497i | 0.720772 | + | 0.853566i | ||||
\(64\) | 8.20570 | + | 2.87130i | 1.02571 | + | 0.358912i | ||||
\(65\) | 5.14859 | + | 3.03708i | 0.638604 | + | 0.376703i | ||||
\(66\) | −0.308348 | + | 1.07030i | −0.0379550 | + | 0.131745i | ||||
\(67\) | −9.51973 | + | 7.59173i | −1.16302 | + | 0.927478i | −0.998266 | − | 0.0588567i | \(-0.981254\pi\) |
−0.164754 | + | 0.986335i | \(0.552683\pi\) | |||||||
\(68\) | −0.925163 | + | 0.181579i | −0.112193 | + | 0.0220197i | ||||
\(69\) | 8.61643 | + | 1.96664i | 1.03730 | + | 0.236756i | ||||
\(70\) | −2.04510 | − | 12.0366i | −0.244436 | − | 1.43865i | ||||
\(71\) | 1.26435 | + | 0.402984i | 0.150051 | + | 0.0478254i | 0.377759 | − | 0.925904i | \(-0.376695\pi\) |
−0.227709 | + | 0.973729i | \(0.573123\pi\) | |||||||
\(72\) | 1.95545 | + | 5.58834i | 0.230451 | + | 0.658593i | ||||
\(73\) | −0.365742 | − | 13.0355i | −0.0428069 | − | 1.52569i | −0.667374 | − | 0.744723i | \(-0.732582\pi\) |
0.624567 | − | 0.780972i | \(-0.285276\pi\) | |||||||
\(74\) | −11.5798 | + | 6.83078i | −1.34613 | + | 0.794062i | ||||
\(75\) | −0.338474 | + | 0.655179i | −0.0390836 | + | 0.0756536i | ||||
\(76\) | −0.0326885 | − | 0.0231937i | −0.00374962 | − | 0.00266050i | ||||
\(77\) | −3.24753 | + | 1.79485i | −0.370091 | + | 0.204542i | ||||
\(78\) | −1.57674 | − | 3.52366i | −0.178530 | − | 0.398976i | ||||
\(79\) | −9.73657 | − | 6.50577i | −1.09545 | − | 0.731956i | −0.129732 | − | 0.991549i | \(-0.541412\pi\) |
−0.965718 | + | 0.259593i | \(0.916412\pi\) | |||||||
\(80\) | 1.40610 | − | 7.06896i | 0.157207 | − | 0.790334i | ||||
\(81\) | −0.517297 | + | 0.823274i | −0.0574775 | + | 0.0914749i | ||||
\(82\) | 3.80970 | − | 11.9528i | 0.420711 | − | 1.31997i | ||||
\(83\) | 5.25753 | − | 5.88318i | 0.577089 | − | 0.645763i | −0.383564 | − | 0.923514i | \(-0.625303\pi\) |
0.960653 | + | 0.277751i | \(0.0895891\pi\) | |||||||
\(84\) | 0.441628 | − | 0.917049i | 0.0481855 | − | 0.100058i | ||||
\(85\) | 2.79153 | + | 8.04335i | 0.302784 | + | 0.872424i | ||||
\(86\) | −0.411539 | − | 8.71768i | −0.0443774 | − | 0.940052i | ||||
\(87\) | 0.0150761 | + | 0.0363969i | 0.00161633 | + | 0.00390215i | ||||
\(88\) | −2.45313 | + | 0.346325i | −0.261505 | + | 0.0369183i | ||||
\(89\) | −7.16188 | − | 2.50605i | −0.759157 | − | 0.265641i | −0.0771832 | − | 0.997017i | \(-0.524593\pi\) |
−0.681974 | + | 0.731376i | \(0.738878\pi\) | |||||||
\(90\) | 4.87371 | − | 2.51782i | 0.513734 | − | 0.265401i | ||||
\(91\) | 4.58616 | − | 12.0145i | 0.480760 | − | 1.25946i | ||||
\(92\) | 0.393491 | + | 1.97821i | 0.0410242 | + | 0.206243i | ||||
\(93\) | −3.28649 | + | 7.93428i | −0.340793 | + | 0.822747i | ||||
\(94\) | 0.434035 | − | 2.55455i | 0.0447673 | − | 0.263482i | ||||
\(95\) | −0.166127 | + | 0.321571i | −0.0170443 | + | 0.0329925i | ||||
\(96\) | 0.937011 | − | 0.885866i | 0.0956332 | − | 0.0904133i | ||||
\(97\) | −6.93443 | + | 5.85560i | −0.704085 | + | 0.594547i | −0.924647 | − | 0.380826i | \(-0.875640\pi\) |
0.220562 | + | 0.975373i | \(0.429211\pi\) | |||||||
\(98\) | −15.9986 | + | 5.59815i | −1.61610 | + | 0.565499i | ||||
\(99\) | −1.21147 | − | 1.14534i | −0.121757 | − | 0.115111i | ||||
\(100\) | −0.168031 | − | 0.00943641i | −0.0168031 | − | 0.000943641i | ||||
\(101\) | 0.335113 | − | 0.267244i | 0.0333450 | − | 0.0265917i | −0.606676 | − | 0.794950i | \(-0.707497\pi\) |
0.640021 | + | 0.768358i | \(0.278926\pi\) | |||||||
\(102\) | 1.53558 | − | 5.27957i | 0.152045 | − | 0.522755i | ||||
\(103\) | 3.30626 | − | 14.4857i | 0.325776 | − | 1.42732i | −0.501323 | − | 0.865260i | \(-0.667153\pi\) |
0.827099 | − | 0.562056i | \(-0.189990\pi\) | |||||||
\(104\) | 5.72155 | − | 6.40242i | 0.561044 | − | 0.627809i | ||||
\(105\) | −8.75751 | − | 2.79127i | −0.854646 | − | 0.272400i | ||||
\(106\) | −1.42781 | + | 0.160876i | −0.138681 | + | 0.0156256i | ||||
\(107\) | 4.11266 | + | 15.9435i | 0.397586 | + | 1.54131i | 0.785052 | + | 0.619430i | \(0.212636\pi\) |
−0.387466 | + | 0.921884i | \(0.626649\pi\) | |||||||
\(108\) | 1.13344 | + | 0.160016i | 0.109066 | + | 0.0153975i | ||||
\(109\) | 7.48332 | + | 3.86597i | 0.716772 | + | 0.370293i | 0.778368 | − | 0.627808i | \(-0.216048\pi\) |
−0.0615962 | + | 0.998101i | \(0.519619\pi\) | |||||||
\(110\) | 0.635466 | + | 2.20575i | 0.0605893 | + | 0.210310i | ||||
\(111\) | 0.567523 | + | 10.1057i | 0.0538669 | + | 0.959190i | ||||
\(112\) | −15.4998 | − | 0.434881i | −1.46459 | − | 0.0410924i | ||||
\(113\) | 4.34207 | + | 4.59276i | 0.408467 | + | 0.432050i | 0.898041 | − | 0.439912i | \(-0.144990\pi\) |
−0.489573 | + | 0.871962i | \(0.662847\pi\) | |||||||
\(114\) | 0.207671 | − | 0.107285i | 0.0194502 | − | 0.0100482i | ||||
\(115\) | 17.1919 | − | 6.01572i | 1.60316 | − | 0.560968i | ||||
\(116\) | −0.00617657 | + | 0.00653317i | −0.000573480 | + | 0.000606589i | ||||
\(117\) | 5.76905 | + | 0.323983i | 0.533349 | + | 0.0299522i | ||||
\(118\) | 6.83549 | − | 8.57144i | 0.629258 | − | 0.789065i | ||||
\(119\) | 16.0537 | − | 8.81931i | 1.47164 | − | 0.808465i | ||||
\(120\) | −4.79817 | − | 3.82641i | −0.438011 | − | 0.349302i | ||||
\(121\) | −8.40221 | + | 5.96169i | −0.763838 | + | 0.541972i | ||||
\(122\) | −2.90806 | − | 4.35222i | −0.263284 | − | 0.394032i | ||||
\(123\) | −6.67840 | − | 6.67840i | −0.602171 | − | 0.602171i | ||||
\(124\) | −1.95914 | + | 0.0549681i | −0.175936 | + | 0.00493628i | ||||
\(125\) | 0.995538 | + | 11.8026i | 0.0890436 | + | 1.05566i | ||||
\(126\) | −7.09654 | − | 9.42965i | −0.632210 | − | 0.840060i | ||||
\(127\) | 7.10164 | + | 7.94673i | 0.630168 | + | 0.705159i | 0.972100 | − | 0.234566i | \(-0.0753669\pi\) |
−0.341932 | + | 0.939725i | \(0.611081\pi\) | |||||||
\(128\) | −8.31170 | − | 3.44282i | −0.734657 | − | 0.304305i | ||||
\(129\) | −5.97316 | − | 2.73708i | −0.525907 | − | 0.240986i | ||||
\(130\) | −6.61492 | − | 4.41995i | −0.580166 | − | 0.387655i | ||||
\(131\) | −5.04204 | + | 6.69970i | −0.440525 | + | 0.585356i | −0.963739 | − | 0.266846i | \(-0.914019\pi\) |
0.523214 | + | 0.852201i | \(0.324733\pi\) | |||||||
\(132\) | −0.0632050 | + | 0.180630i | −0.00550129 | + | 0.0157218i | ||||
\(133\) | 0.741908 | + | 0.236467i | 0.0643316 | + | 0.0205043i | ||||
\(134\) | 13.2166 | − | 9.37765i | 1.14174 | − | 0.810105i | ||||
\(135\) | − | 10.3370i | − | 0.889664i | ||||||
\(136\) | 12.1140 | − | 1.67878i | 1.03877 | − | 0.143954i | ||||
\(137\) | −1.39852 | + | 0.319202i | −0.119483 | + | 0.0272713i | −0.281844 | − | 0.959460i | \(-0.590946\pi\) |
0.162361 | + | 0.986731i | \(0.448089\pi\) | |||||||
\(138\) | −11.3029 | − | 3.25632i | −0.962170 | − | 0.277196i | ||||
\(139\) | −9.97926 | + | 3.80928i | −0.846430 | + | 0.323099i | −0.741147 | − | 0.671343i | \(-0.765718\pi\) |
−0.105283 | + | 0.994442i | \(0.533575\pi\) | |||||||
\(140\) | −0.234863 | − | 2.08446i | −0.0198495 | − | 0.176169i | ||||
\(141\) | −1.55867 | − | 1.17302i | −0.131264 | − | 0.0987861i | ||||
\(142\) | −1.65002 | − | 0.629846i | −0.138467 | − | 0.0528555i | ||||
\(143\) | −0.603923 | + | 2.34121i | −0.0505025 | + | 0.195782i | ||||
\(144\) | −1.92870 | − | 6.69466i | −0.160725 | − | 0.557888i | ||||
\(145\) | 0.0662150 | + | 0.0469820i | 0.00549886 | + | 0.00390165i | ||||
\(146\) | −0.486771 | + | 17.3492i | −0.0402855 | + | 1.43583i | ||||
\(147\) | −1.78381 | + | 12.6353i | −0.147126 | + | 1.04214i | ||||
\(148\) | −2.05222 | + | 1.06020i | −0.168692 | + | 0.0871481i | ||||
\(149\) | −0.576857 | − | 5.11975i | −0.0472580 | − | 0.419426i | −0.994960 | − | 0.100270i | \(-0.968029\pi\) |
0.947702 | − | 0.319156i | \(-0.103399\pi\) | |||||||
\(150\) | 0.498664 | − | 0.845358i | 0.0407157 | − | 0.0690232i | ||||
\(151\) | −17.1694 | − | 15.3435i | −1.39723 | − | 1.24864i | −0.931515 | − | 0.363703i | \(-0.881512\pi\) |
−0.465713 | − | 0.884936i | \(-0.654202\pi\) | |||||||
\(152\) | 0.406485 | + | 0.324161i | 0.0329703 | + | 0.0262930i | ||||
\(153\) | 5.96592 | + | 5.66911i | 0.482316 | + | 0.458321i | ||||
\(154\) | 4.44933 | − | 2.14268i | 0.358537 | − | 0.172662i | ||||
\(155\) | 2.96466 | + | 17.4487i | 0.238127 | + | 1.40151i | ||||
\(156\) | −0.236530 | − | 0.619642i | −0.0189375 | − | 0.0496110i | ||||
\(157\) | 0.620865 | − | 5.51033i | 0.0495504 | − | 0.439772i | −0.944304 | − | 0.329075i | \(-0.893263\pi\) |
0.993854 | − | 0.110697i | \(-0.0353083\pi\) | |||||||
\(158\) | 12.4527 | + | 9.37159i | 0.990681 | + | 0.745564i | ||||
\(159\) | −0.385767 | + | 1.01060i | −0.0305933 | + | 0.0801460i | ||||
\(160\) | 0.663767 | − | 2.57321i | 0.0524754 | − | 0.203430i | ||||
\(161\) | −18.9546 | − | 34.2957i | −1.49383 | − | 2.70288i | ||||
\(162\) | 0.748832 | − | 1.05538i | 0.0588338 | − | 0.0829185i | ||||
\(163\) | −16.7932 | − | 8.67557i | −1.31535 | − | 0.679523i | −0.349085 | − | 0.937091i | \(-0.613507\pi\) |
−0.966260 | + | 0.257568i | \(0.917079\pi\) | |||||||
\(164\) | 0.768667 | − | 2.01369i | 0.0600228 | − | 0.157243i | ||||
\(165\) | 1.69493 | + | 0.337143i | 0.131950 | + | 0.0262465i | ||||
\(166\) | −7.42535 | + | 7.42535i | −0.576319 | + | 0.576319i | ||||
\(167\) | 4.86934 | + | 4.60355i | 0.376801 | + | 0.356234i | 0.851906 | − | 0.523696i | \(-0.175447\pi\) |
−0.475105 | + | 0.879929i | \(0.657590\pi\) | |||||||
\(168\) | −6.38660 | + | 11.5557i | −0.492737 | + | 0.891540i | ||||
\(169\) | 2.00460 | + | 4.16260i | 0.154200 | + | 0.320200i | ||||
\(170\) | −3.10921 | − | 10.8965i | −0.238465 | − | 0.835723i | ||||
\(171\) | 0.349870i | 0.0267552i | ||||||||
\(172\) | 0.0133863 | − | 1.49940i | 0.00102070 | − | 0.114328i | ||||
\(173\) | −6.98656 | − | 10.4561i | −0.531178 | − | 0.794965i | 0.464719 | − | 0.885458i | \(-0.346155\pi\) |
−0.995897 | + | 0.0904938i | \(0.971155\pi\) | |||||||
\(174\) | −0.0173173 | − | 0.0494900i | −0.00131282 | − | 0.00375183i | ||||
\(175\) | 3.16597 | − | 0.816669i | 0.239325 | − | 0.0617344i | ||||
\(176\) | 2.90499 | − | 0.245033i | 0.218972 | − | 0.0184700i | ||||
\(177\) | −3.37117 | − | 7.53383i | −0.253393 | − | 0.566277i | ||||
\(178\) | 9.32984 | + | 3.86455i | 0.699301 | + | 0.289660i | ||||
\(179\) | 11.3576 | + | 4.70447i | 0.848907 | + | 0.351629i | 0.764359 | − | 0.644790i | \(-0.223055\pi\) |
0.0845480 | + | 0.996419i | \(0.473055\pi\) | |||||||
\(180\) | 0.860296 | − | 0.384958i | 0.0641227 | − | 0.0286931i | ||||
\(181\) | −1.68343 | + | 0.536558i | −0.125129 | + | 0.0398821i | −0.365586 | − | 0.930778i | \(-0.619131\pi\) |
0.240457 | + | 0.970660i | \(0.422703\pi\) | |||||||
\(182\) | −6.99077 | + | 15.6228i | −0.518190 | + | 1.15804i | ||||
\(183\) | −3.91591 | + | 0.441217i | −0.289473 | + | 0.0326157i | ||||
\(184\) | −3.65738 | − | 25.9064i | −0.269625 | − | 1.90984i | ||||
\(185\) | 12.0707 | + | 17.0121i | 0.887456 | + | 1.25075i | ||||
\(186\) | 4.95925 | − | 10.2980i | 0.363630 | − | 0.755085i | ||||
\(187\) | −2.81368 | + | 1.98566i | −0.205757 | + | 0.145206i | ||||
\(188\) | 0.0990641 | − | 0.434028i | 0.00722499 | − | 0.0316547i | ||||
\(189\) | −21.9244 | + | 3.72510i | −1.59476 | + | 0.270961i | ||||
\(190\) | 0.244751 | − | 0.414913i | 0.0177561 | − | 0.0301009i | ||||
\(191\) | 0.148236 | − | 1.31563i | 0.0107260 | − | 0.0951959i | −0.987209 | − | 0.159434i | \(-0.949033\pi\) |
0.997935 | + | 0.0642380i | \(0.0204617\pi\) | |||||||
\(192\) | −6.65534 | + | 5.61993i | −0.480307 | + | 0.405583i | ||||
\(193\) | −1.26636 | + | 8.97003i | −0.0911544 | + | 0.645677i | 0.890496 | + | 0.454990i | \(0.150357\pi\) |
−0.981651 | + | 0.190687i | \(0.938929\pi\) | |||||||
\(194\) | 9.65159 | − | 7.26357i | 0.692944 | − | 0.521494i | ||||
\(195\) | −5.24209 | + | 2.89720i | −0.375394 | + | 0.207473i | ||||
\(196\) | −2.79834 | + | 0.806189i | −0.199882 | + | 0.0575849i | ||||
\(197\) | 4.82937 | − | 3.63447i | 0.344078 | − | 0.258945i | −0.415174 | − | 0.909742i | \(-0.636279\pi\) |
0.759252 | + | 0.650797i | \(0.225565\pi\) | |||||||
\(198\) | 1.52435 | + | 1.61236i | 0.108331 | + | 0.114586i | ||||
\(199\) | −2.97737 | − | 1.33229i | −0.211060 | − | 0.0944433i | 0.300175 | − | 0.953884i | \(-0.402955\pi\) |
−0.511235 | + | 0.859441i | \(0.670812\pi\) | |||||||
\(200\) | 2.16934 | + | 0.244426i | 0.153395 | + | 0.0172835i | ||||
\(201\) | −1.70548 | − | 12.0805i | −0.120295 | − | 0.852091i | ||||
\(202\) | −0.465248 | + | 0.330111i | −0.0327348 | + | 0.0232265i | ||||
\(203\) | 0.0757857 | − | 0.157371i | 0.00531912 | − | 0.0110453i | ||||
\(204\) | 0.314276 | − | 0.890869i | 0.0220037 | − | 0.0623733i | ||||
\(205\) | −18.9763 | − | 4.33121i | −1.32536 | − | 0.302505i | ||||
\(206\) | −5.47442 | + | 19.0021i | −0.381421 | + | 1.32394i | ||||
\(207\) | 12.0954 | − | 12.7938i | 0.840691 | − | 0.889228i | ||||
\(208\) | −7.14457 | + | 7.14457i | −0.495387 | + | 0.495387i | ||||
\(209\) | −0.143589 | − | 0.0285617i | −0.00993227 | − | 0.00197565i | ||||
\(210\) | 11.4289 | + | 4.36263i | 0.788667 | + | 0.301050i | ||||
\(211\) | −19.6926 | − | 16.6289i | −1.35570 | − | 1.14478i | −0.975530 | − | 0.219865i | \(-0.929438\pi\) |
−0.380166 | − | 0.924918i | \(-0.624133\pi\) | |||||||
\(212\) | −0.246478 | + | 0.0138419i | −0.0169282 | + | 0.000950665i | ||||
\(213\) | −0.991436 | + | 0.886001i | −0.0679321 | + | 0.0607078i | ||||
\(214\) | −4.27521 | − | 21.4929i | −0.292247 | − | 1.46923i | ||||
\(215\) | −13.4242 | + | 1.77310i | −0.915521 | + | 0.120924i | ||||
\(216\) | −14.5631 | − | 2.89678i | −0.990892 | − | 0.197101i | ||||
\(217\) | 35.9398 | − | 12.5759i | 2.43975 | − | 0.853707i | ||||
\(218\) | −9.65550 | − | 5.69563i | −0.653953 | − | 0.385757i | ||||
\(219\) | 11.4361 | + | 6.32049i | 0.772778 | + | 0.427099i | ||||
\(220\) | 0.0877592 | + | 0.384498i | 0.00591673 | + | 0.0259229i | ||||
\(221\) | 3.01063 | − | 11.5496i | 0.202517 | − | 0.776912i | ||||
\(222\) | − | 13.4710i | − | 0.904115i | ||||||
\(223\) | 5.78422 | + | 8.15209i | 0.387340 | + | 0.545905i | 0.962199 | − | 0.272348i | \(-0.0878002\pi\) |
−0.574859 | + | 0.818253i | \(0.694943\pi\) | |||||||
\(224\) | −5.69690 | − | 0.480528i | −0.380640 | − | 0.0321066i | ||||
\(225\) | 0.781590 | + | 1.24389i | 0.0521060 | + | 0.0829262i | ||||
\(226\) | −5.42710 | − | 6.42698i | −0.361005 | − | 0.427516i | ||||
\(227\) | −0.873714 | − | 1.48116i | −0.0579904 | − | 0.0983080i | 0.830914 | − | 0.556401i | \(-0.187818\pi\) |
−0.888904 | + | 0.458093i | \(0.848533\pi\) | |||||||
\(228\) | 0.0366576 | − | 0.0164032i | 0.00242771 | − | 0.00108633i | ||||
\(229\) | −2.82087 | − | 3.15656i | −0.186409 | − | 0.208591i | 0.645108 | − | 0.764092i | \(-0.276812\pi\) |
−0.831516 | + | 0.555500i | \(0.812527\pi\) | |||||||
\(230\) | −23.2939 | + | 6.71086i | −1.53596 | + | 0.442501i | ||||
\(231\) | 0.104272 | − | 3.71639i | 0.00686059 | − | 0.244521i | ||||
\(232\) | 0.0847457 | − | 0.0801200i | 0.00556382 | − | 0.00526013i | ||||
\(233\) | 2.62632 | + | 10.1814i | 0.172056 | + | 0.667006i | 0.995087 | + | 0.0990092i | \(0.0315673\pi\) |
−0.823030 | + | 0.567997i | \(0.807718\pi\) | |||||||
\(234\) | −7.64186 | − | 0.861031i | −0.499564 | − | 0.0562873i | ||||
\(235\) | −4.00602 | − | 0.337904i | −0.261324 | − | 0.0220424i | ||||
\(236\) | 1.25514 | − | 1.40450i | 0.0817026 | − | 0.0914253i | ||||
\(237\) | 10.5713 | − | 5.09086i | 0.686678 | − | 0.330687i | ||||
\(238\) | −21.9907 | + | 10.5213i | −1.42544 | + | 0.681993i | ||||
\(239\) | −15.0648 | − | 18.8907i | −0.974461 | − | 1.22194i | −0.975061 | − | 0.221935i | \(-0.928763\pi\) |
0.000600638 | − | 1.00000i | \(-0.499809\pi\) | |||||||
\(240\) | 5.38481 | + | 4.81216i | 0.347588 | + | 0.310624i | ||||
\(241\) | 8.34011 | + | 21.8488i | 0.537234 | + | 1.40740i | 0.883129 | + | 0.469130i | \(0.155432\pi\) |
−0.345895 | + | 0.938273i | \(0.612425\pi\) | |||||||
\(242\) | 11.6099 | − | 7.29500i | 0.746314 | − | 0.468940i | ||||
\(243\) | −7.34003 | − | 14.2080i | −0.470863 | − | 0.911444i | ||||
\(244\) | −0.456924 | − | 0.774599i | −0.0292516 | − | 0.0495886i | ||||
\(245\) | 10.7413 | + | 24.0044i | 0.686234 | + | 1.53358i | ||||
\(246\) | 8.37602 | + | 9.37277i | 0.534036 | + | 0.597586i | ||||
\(247\) | 0.444093 | − | 0.245442i | 0.0282570 | − | 0.0156171i | ||||
\(248\) | 25.4132 | + | 0.713024i | 1.61374 | + | 0.0452771i | ||||
\(249\) | 2.40077 | + | 7.53234i | 0.152143 | + | 0.477343i | ||||
\(250\) | −0.442122 | − | 15.7578i | −0.0279623 | − | 0.996614i | ||||
\(251\) | 6.15009 | + | 6.15009i | 0.388190 | + | 0.388190i | 0.874041 | − | 0.485851i | \(-0.161490\pi\) |
−0.485851 | + | 0.874041i | \(0.661490\pi\) | |||||||
\(252\) | −1.12651 | − | 1.68593i | −0.0709632 | − | 0.106204i | ||||
\(253\) | 4.26325 | + | 6.00848i | 0.268028 | + | 0.377750i | ||||
\(254\) | −8.84378 | − | 11.0897i | −0.554908 | − | 0.695833i | ||||
\(255\) | −8.36265 | − | 1.68558i | −0.523690 | − | 0.105555i | ||||
\(256\) | −4.87740 | − | 2.34883i | −0.304838 | − | 0.146802i | ||||
\(257\) | −3.10552 | + | 1.28635i | −0.193717 | + | 0.0802402i | −0.477433 | − | 0.878668i | \(-0.658433\pi\) |
0.283716 | + | 0.958908i | \(0.408433\pi\) | |||||||
\(258\) | 7.73300 | + | 4.08283i | 0.481436 | + | 0.254186i | ||||
\(259\) | 31.7322 | − | 31.7322i | 1.97174 | − | 1.97174i | ||||
\(260\) | −1.09215 | − | 0.821926i | −0.0677322 | − | 0.0509737i | ||||
\(261\) | 0.0777096 | + | 0.0109708i | 0.00481011 | + | 0.000679074i | ||||
\(262\) | 7.19994 | − | 8.52644i | 0.444814 | − | 0.526765i | ||||
\(263\) | −24.2557 | − | 4.12121i | −1.49567 | − | 0.254124i | −0.638686 | − | 0.769468i | \(-0.720522\pi\) |
−0.856984 | + | 0.515343i | \(0.827664\pi\) | |||||||
\(264\) | 0.949957 | − | 2.29340i | 0.0584658 | − | 0.141149i | ||||
\(265\) | 0.434915 | + | 2.18647i | 0.0267166 | + | 0.134314i | ||||
\(266\) | −0.968217 | − | 0.369588i | −0.0593652 | − | 0.0226609i | ||||
\(267\) | 5.80873 | − | 4.90503i | 0.355488 | − | 0.300183i | ||||
\(268\) | 2.35752 | − | 1.48133i | 0.144008 | − | 0.0904865i | ||||
\(269\) | −0.808074 | + | 9.58013i | −0.0492691 | + | 0.584111i | 0.928066 | + | 0.372415i | \(0.121470\pi\) |
−0.977336 | + | 0.211696i | \(0.932101\pi\) | |||||||
\(270\) | −0.771396 | + | 13.7360i | −0.0469457 | + | 0.835945i | ||||
\(271\) | −3.11222 | + | 0.710343i | −0.189054 | + | 0.0431503i | −0.315999 | − | 0.948759i | \(-0.602340\pi\) |
0.126946 | + | 0.991910i | \(0.459483\pi\) | |||||||
\(272\) | −14.3433 | + | 1.17308i | −0.869691 | + | 0.0711284i | ||||
\(273\) | 8.03395 | + | 10.0743i | 0.486237 | + | 0.609722i | ||||
\(274\) | 1.88220 | − | 0.319798i | 0.113708 | − | 0.0193197i | ||||
\(275\) | −0.574309 | + | 0.219225i | −0.0346321 | + | 0.0132198i | ||||
\(276\) | −1.90755 | − | 0.667479i | −0.114821 | − | 0.0401775i | ||||
\(277\) | 9.54344 | + | 18.4731i | 0.573410 | + | 1.10994i | 0.980494 | + | 0.196551i | \(0.0629743\pi\) |
−0.407084 | + | 0.913391i | \(0.633454\pi\) | |||||||
\(278\) | 13.5449 | − | 4.31715i | 0.812370 | − | 0.258926i | ||||
\(279\) | 10.2874 | + | 13.6696i | 0.615893 | + | 0.818379i | ||||
\(280\) | 1.52567 | + | 27.1671i | 0.0911764 | + | 1.62355i | ||||
\(281\) | −0.489945 | − | 0.886489i | −0.0292277 | − | 0.0528835i | 0.860210 | − | 0.509940i | \(-0.170332\pi\) |
−0.889438 | + | 0.457056i | \(0.848904\pi\) | |||||||
\(282\) | 1.98366 | + | 1.67505i | 0.118125 | + | 0.0997477i | ||||
\(283\) | 15.0782 | + | 2.12868i | 0.896305 | + | 0.126537i | 0.572806 | − | 0.819691i | \(-0.305855\pi\) |
0.323499 | + | 0.946228i | \(0.395141\pi\) | |||||||
\(284\) | −0.276978 | − | 0.123940i | −0.0164356 | − | 0.00735447i | ||||
\(285\) | −0.192949 | − | 0.307076i | −0.0114293 | − | 0.0181896i | ||||
\(286\) | 0.977218 | − | 3.06599i | 0.0577841 | − | 0.181296i | ||||
\(287\) | −2.34794 | + | 41.8089i | −0.138594 | + | 2.46790i | ||||
\(288\) | −0.571604 | − | 2.50436i | −0.0336821 | − | 0.147571i | ||||
\(289\) | 13.9144 | − | 9.76670i | 0.818496 | − | 0.574512i | ||||
\(290\) | −0.0844818 | − | 0.0673720i | −0.00496094 | − | 0.00395622i | ||||
\(291\) | −1.52330 | − | 8.96549i | −0.0892974 | − | 0.525567i | ||||
\(292\) | −0.250635 | + | 2.97141i | −0.0146673 | + | 0.173888i | ||||
\(293\) | −12.8741 | − | 8.08936i | −0.752116 | − | 0.472586i | 0.100622 | − | 0.994925i | \(-0.467917\pi\) |
−0.852738 | + | 0.522339i | \(0.825060\pi\) | |||||||
\(294\) | 3.31328 | − | 16.6570i | 0.193234 | − | 0.971454i | ||||
\(295\) | −14.1431 | − | 9.45014i | −0.823445 | − | 0.550209i | ||||
\(296\) | 27.3498 | − | 12.2383i | 1.58968 | − | 0.711335i | ||||
\(297\) | 4.01773 | − | 1.15749i | 0.233133 | − | 0.0671643i | ||||
\(298\) | 0.384479 | + | 6.84628i | 0.0222723 | + | 0.396594i | ||||
\(299\) | −24.7245 | − | 6.37775i | −1.42985 | − | 0.368835i | ||||
\(300\) | 0.0936850 | − | 0.140209i | 0.00540890 | − | 0.00809500i | ||||
\(301\) | 8.59831 | + | 27.8333i | 0.495599 | + | 1.60428i | ||||
\(302\) | 21.6701 | + | 21.6701i | 1.24697 | + | 1.24697i | ||||
\(303\) | 0.0600362 | + | 0.425256i | 0.00344899 | + | 0.0244303i | ||||
\(304\) | −0.456184 | − | 0.407671i | −0.0261639 | − | 0.0233815i | ||||
\(305\) | −6.34946 | + | 5.06352i | −0.363569 | + | 0.289937i | ||||
\(306\) | −7.50458 | − | 7.97844i | −0.429009 | − | 0.456097i | ||||
\(307\) | 30.8829 | 1.76258 | 0.881289 | − | 0.472577i | \(-0.156676\pi\) | ||||
0.881289 | + | 0.472577i | \(0.156676\pi\) | |||||||
\(308\) | 0.783883 | − | 0.324695i | 0.0446659 | − | 0.0185012i | ||||
\(309\) | 10.8182 | + | 10.2277i | 0.615427 | + | 0.581835i | ||||
\(310\) | −2.63739 | − | 23.4075i | −0.149794 | − | 1.32945i | ||||
\(311\) | 10.0450 | + | 4.49483i | 0.569598 | + | 0.254879i | 0.672853 | − | 0.739776i | \(-0.265069\pi\) |
−0.103255 | + | 0.994655i | \(0.532926\pi\) | |||||||
\(312\) | 2.61266 | + | 8.19714i | 0.147913 | + | 0.464071i | ||||
\(313\) | −6.58471 | − | 1.69854i | −0.372190 | − | 0.0960074i | 0.0590253 | − | 0.998256i | \(-0.481201\pi\) |
−0.431215 | + | 0.902249i | \(0.641915\pi\) | |||||||
\(314\) | −1.23623 | + | 7.27591i | −0.0697643 | + | 0.410603i | ||||
\(315\) | −13.6531 | + | 12.2012i | −0.769267 | + | 0.687459i | ||||
\(316\) | 2.04586 | + | 1.72757i | 0.115089 | + | 0.0971836i | ||||
\(317\) | −18.7468 | + | 17.7236i | −1.05293 | + | 0.995455i | −0.999995 | − | 0.00314289i | \(-0.999000\pi\) |
−0.0529322 | + | 0.998598i | \(0.516857\pi\) | |||||||
\(318\) | 0.588032 | − | 1.31412i | 0.0329752 | − | 0.0736923i | ||||
\(319\) | −0.0108463 | + | 0.0309970i | −0.000607278 | + | 0.00173550i | ||||
\(320\) | −5.45153 | + | 17.1040i | −0.304750 | + | 0.956141i | ||||
\(321\) | −15.8531 | − | 4.56721i | −0.884836 | − | 0.254917i | ||||
\(322\) | 22.6279 | + | 46.9873i | 1.26100 | + | 2.61850i | ||||
\(323\) | 0.708457 | + | 0.142797i | 0.0394196 | + | 0.00794542i | ||||
\(324\) | 0.138622 | − | 0.173827i | 0.00770124 | − | 0.00965705i | ||||
\(325\) | 1.03058 | − | 1.86470i | 0.0571665 | − | 0.103435i | ||||
\(326\) | 21.6677 | + | 12.7815i | 1.20007 | + | 0.707900i | ||||
\(327\) | −7.14601 | + | 4.49013i | −0.395175 | + | 0.248305i | ||||
\(328\) | −11.4198 | + | 25.5207i | −0.630551 | + | 1.40914i | ||||
\(329\) | 0.726955 | + | 8.61842i | 0.0400783 | + | 0.475149i | ||||
\(330\) | −2.22710 | − | 0.574487i | −0.122598 | − | 0.0316245i | ||||
\(331\) | −6.43786 | − | 1.09384i | −0.353857 | − | 0.0601226i | −0.0121416 | − | 0.999926i | \(-0.503865\pi\) |
−0.341715 | + | 0.939804i | \(0.611008\pi\) | |||||||
\(332\) | −1.34528 | + | 1.20222i | −0.0738320 | + | 0.0659803i | ||||
\(333\) | 17.9140 | + | 9.25458i | 0.981680 | + | 0.507148i | ||||
\(334\) | −6.12694 | − | 6.48067i | −0.335251 | − | 0.354607i | ||||
\(335\) | −16.2217 | − | 19.2104i | −0.886286 | − | 1.04957i | ||||
\(336\) | 8.26593 | − | 13.1552i | 0.450943 | − | 0.717672i | ||||
\(337\) | 23.8190 | − | 15.9153i | 1.29750 | − | 0.866963i | 0.301257 | − | 0.953543i | \(-0.402594\pi\) |
0.996245 | + | 0.0865799i | \(0.0275938\pi\) | |||||||
\(338\) | −2.35312 | − | 5.68094i | −0.127993 | − | 0.309002i | ||||
\(339\) | −6.17408 | + | 1.40919i | −0.335330 | + | 0.0765369i | ||||
\(340\) | −0.428384 | − | 1.89915i | −0.0232324 | − | 0.102996i | ||||
\(341\) | −6.44994 | + | 3.10613i | −0.349284 | + | 0.168206i | ||||
\(342\) | 0.0261090 | − | 0.464914i | 0.00141181 | − | 0.0251397i | ||||
\(343\) | 21.1854 | − | 14.1556i | 1.14390 | − | 0.764331i | ||||
\(344\) | −1.26392 | + | 19.4093i | −0.0681460 | + | 1.04648i | ||||
\(345\) | −3.56041 | + | 17.8994i | −0.191686 | + | 0.963671i | ||||
\(346\) | 8.50360 | + | 14.4157i | 0.457156 | + | 0.774992i | ||||
\(347\) | −18.8879 | + | 14.2146i | −1.01396 | + | 0.763081i | −0.971746 | − | 0.236027i | \(-0.924154\pi\) |
−0.0422111 | + | 0.999109i | \(0.513440\pi\) | |||||||
\(348\) | −0.00249386 | − | 0.00865638i | −0.000133685 | − | 0.000464031i | ||||
\(349\) | 0.950429 | − | 5.59383i | 0.0508753 | − | 0.299431i | −0.948999 | − | 0.315279i | \(-0.897902\pi\) |
0.999874 | + | 0.0158482i | \(0.00504484\pi\) | |||||||
\(350\) | −4.26795 | + | 0.848947i | −0.228131 | + | 0.0453781i | ||||
\(351\) | −8.05084 | + | 12.0489i | −0.429722 | + | 0.643125i | ||||
\(352\) | 1.07447 | − | 0.0301468i | 0.0572696 | − | 0.00160683i | ||||
\(353\) | 17.5327 | − | 1.97546i | 0.933171 | − | 0.105143i | 0.367731 | − | 0.929932i | \(-0.380135\pi\) |
0.565440 | + | 0.824789i | \(0.308706\pi\) | |||||||
\(354\) | 3.91747 | + | 10.2627i | 0.208211 | + | 0.545456i | ||||
\(355\) | −0.758590 | + | 2.63312i | −0.0402618 | + | 0.139752i | ||||
\(356\) | 1.56322 | + | 0.752807i | 0.0828504 | + | 0.0398987i | ||||
\(357\) | −0.561431 | + | 18.3444i | −0.0297141 | + | 0.970886i | ||||
\(358\) | −14.7412 | − | 7.09897i | −0.779094 | − | 0.375192i | ||||
\(359\) | 15.8968 | − | 28.7632i | 0.839003 | − | 1.51806i | −0.0162605 | − | 0.999868i | \(-0.505176\pi\) |
0.855263 | − | 0.518194i | \(-0.173395\pi\) | |||||||
\(360\) | −11.4219 | + | 4.35995i | −0.601984 | + | 0.229790i | ||||
\(361\) | −10.0923 | − | 16.0617i | −0.531172 | − | 0.845355i | ||||
\(362\) | 2.27702 | − | 0.587364i | 0.119678 | − | 0.0308712i | ||||
\(363\) | −0.867632 | − | 10.2862i | −0.0455389 | − | 0.539886i | ||||
\(364\) | −1.34971 | + | 2.61261i | −0.0707438 | + | 0.136938i | ||||
\(365\) | 26.8859 | − | 1.50988i | 1.40727 | − | 0.0790309i | ||||
\(366\) | 5.23647 | − | 0.294074i | 0.273715 | − | 0.0153715i | ||||
\(367\) | 15.9332 | − | 30.8417i | 0.831705 | − | 1.60992i | 0.0398559 | − | 0.999205i | \(-0.487310\pi\) |
0.791849 | − | 0.610716i | \(-0.209118\pi\) | |||||||
\(368\) | 2.58768 | + | 30.6782i | 0.134892 | + | 1.59921i | ||||
\(369\) | −18.2184 | + | 4.69949i | −0.948412 | + | 0.244646i | ||||
\(370\) | −14.7703 | − | 23.5068i | −0.767871 | − | 1.22206i | ||||
\(371\) | 4.48070 | − | 1.71037i | 0.232626 | − | 0.0887981i | ||||
\(372\) | 0.949920 | − | 1.71875i | 0.0492510 | − | 0.0891130i | ||||
\(373\) | −5.00509 | − | 2.41032i | −0.259154 | − | 0.124802i | 0.299796 | − | 0.954003i | \(-0.403081\pi\) |
−0.558950 | + | 0.829201i | \(0.688796\pi\) | |||||||
\(374\) | 3.88705 | − | 2.42862i | 0.200995 | − | 0.125581i | ||||
\(375\) | −10.6926 | − | 5.14931i | −0.552166 | − | 0.265909i | ||||
\(376\) | −1.59868 | + | 5.54913i | −0.0824455 | + | 0.286175i | ||||
\(377\) | −0.0405898 | − | 0.106334i | −0.00209048 | − | 0.00547648i | ||||
\(378\) | 29.4116 | − | 3.31389i | 1.51277 | − | 0.170448i | ||||
\(379\) | −0.103944 | + | 0.00291638i | −0.00533923 | + | 0.000149804i | −0.0307158 | − | 0.999528i | \(-0.509779\pi\) |
0.0253765 | + | 0.999678i | \(0.491922\pi\) | |||||||
\(380\) | 0.0459818 | − | 0.0688167i | 0.00235882 | − | 0.00353022i | ||||
\(381\) | −10.4735 | + | 2.08330i | −0.536571 | + | 0.106731i | ||||
\(382\) | −0.295159 | + | 1.73718i | −0.0151016 | + | 0.0888818i | ||||
\(383\) | −8.67558 | − | 30.1136i | −0.443302 | − | 1.53873i | −0.797356 | − | 0.603509i | \(-0.793769\pi\) |
0.354054 | − | 0.935225i | \(-0.384803\pi\) | |||||||
\(384\) | 7.20253 | − | 5.42046i | 0.367552 | − | 0.276612i | ||||
\(385\) | −3.89289 | − | 6.59940i | −0.198400 | − | 0.336337i | ||||
\(386\) | 2.35215 | − | 11.8251i | 0.119721 | − | 0.601880i | ||||
\(387\) | −10.7420 | + | 7.47858i | −0.546047 | + | 0.380158i | ||||
\(388\) | 1.72562 | − | 1.15302i | 0.0876049 | − | 0.0585357i | ||||
\(389\) | 0.277499 | − | 4.94134i | 0.0140698 | − | 0.250536i | −0.983502 | − | 0.180895i | \(-0.942101\pi\) |
0.997572 | − | 0.0696405i | \(-0.0221852\pi\) | |||||||
\(390\) | 7.18200 | − | 3.45867i | 0.363675 | − | 0.175137i | ||||
\(391\) | −20.9697 | − | 29.7139i | −1.06048 | − | 1.50270i | ||||
\(392\) | 36.8283 | − | 8.40581i | 1.86011 | − | 0.424558i | ||||
\(393\) | −3.21514 | − | 7.76205i | −0.162183 | − | 0.391543i | ||||
\(394\) | −6.68858 | + | 4.46917i | −0.336966 | + | 0.225154i | ||||
\(395\) | 12.8649 | − | 20.4744i | 0.647304 | − | 1.03018i | ||||
\(396\) | 0.245956 | + | 0.291271i | 0.0123598 | + | 0.0146369i | ||||
\(397\) | 10.0163 | + | 10.5945i | 0.502702 | + | 0.531725i | 0.927629 | − | 0.373502i | \(-0.121843\pi\) |
−0.424927 | + | 0.905227i | \(0.639700\pi\) | |||||||
\(398\) | 3.85697 | + | 1.99256i | 0.193332 | + | 0.0998778i | ||||
\(399\) | −0.581766 | + | 0.519898i | −0.0291247 | + | 0.0260274i | ||||
\(400\) | −2.53259 | − | 0.430304i | −0.126629 | − | 0.0215152i | ||||
\(401\) | −3.41282 | − | 0.880345i | −0.170428 | − | 0.0439623i | 0.163593 | − | 0.986528i | \(-0.447691\pi\) |
−0.334021 | + | 0.942566i | \(0.608406\pi\) | |||||||
\(402\) | 1.36477 | + | 16.1801i | 0.0680687 | + | 0.806988i | ||||
\(403\) | 10.1341 | − | 22.6475i | 0.504816 | − | 1.12815i | ||||
\(404\) | −0.0829892 | + | 0.0521456i | −0.00412887 | + | 0.00259434i | ||||
\(405\) | −1.72931 | − | 1.02009i | −0.0859300 | − | 0.0506888i | ||||
\(406\) | −0.112449 | + | 0.203462i | −0.00558077 | + | 0.0100976i | ||||
\(407\) | −5.26056 | + | 6.59654i | −0.260757 | + | 0.326978i | ||||
\(408\) | −4.71820 | + | 11.3092i | −0.233586 | + | 0.559891i | ||||
\(409\) | −2.92510 | − | 6.07404i | −0.144637 | − | 0.300342i | 0.816047 | − | 0.577985i | \(-0.196161\pi\) |
−0.960684 | + | 0.277643i | \(0.910447\pi\) | |||||||
\(410\) | 24.8929 | + | 7.17151i | 1.22937 | + | 0.354176i | ||||
\(411\) | 0.436480 | − | 1.36944i | 0.0215300 | − | 0.0675496i | ||||
\(412\) | −1.12215 | + | 3.20691i | −0.0552841 | + | 0.157993i | ||||
\(413\) | −14.9467 | + | 33.4027i | −0.735481 | + | 1.64364i | ||||
\(414\) | −17.0274 | + | 16.0980i | −0.836851 | + | 0.791173i | ||||
\(415\) | 12.4482 | + | 10.5115i | 0.611057 | + | 0.515991i | ||||
\(416\) | −2.77782 | + | 2.48241i | −0.136194 | + | 0.121710i | ||||
\(417\) | 1.79277 | − | 10.5515i | 0.0877923 | − | 0.516709i | ||||
\(418\) | 0.188673 | + | 0.0486687i | 0.00922829 | + | 0.00238046i | ||||
\(419\) | 11.8407 | + | 37.1499i | 0.578458 | + | 1.81489i | 0.579611 | + | 0.814893i | \(0.303204\pi\) |
−0.00115287 | + | 0.999999i | \(0.500367\pi\) | |||||||
\(420\) | 1.91849 | + | 0.858469i | 0.0936127 | + | 0.0418890i | ||||
\(421\) | 0.946141 | + | 8.39724i | 0.0461121 | + | 0.409256i | 0.995471 | + | 0.0950633i | \(0.0303053\pi\) |
−0.949359 | + | 0.314193i | \(0.898266\pi\) | |||||||
\(422\) | 24.9270 | + | 23.5664i | 1.21343 | + | 1.14720i | ||||
\(423\) | −3.59028 | + | 1.48714i | −0.174566 | + | 0.0723074i | ||||
\(424\) | 3.20225 | 0.155515 | ||||||||
\(425\) | 2.83778 | − | 1.07497i | 0.137653 | − | 0.0521437i | ||||
\(426\) | 1.38356 | − | 1.10335i | 0.0670336 | − | 0.0534575i | ||||
\(427\) | 13.0277 | + | 11.6423i | 0.630455 | + | 0.563409i | ||||
\(428\) | −0.526320 | − | 3.72810i | −0.0254407 | − | 0.180205i | ||||
\(429\) | −1.71306 | − | 1.71306i | −0.0827073 | − | 0.0827073i | ||||
\(430\) | 17.9706 | − | 1.35435i | 0.866622 | − | 0.0653125i | ||||
\(431\) | 13.9233 | − | 20.8376i | 0.670660 | − | 1.00371i | −0.327604 | − | 0.944815i | \(-0.606241\pi\) |
0.998264 | − | 0.0588981i | \(-0.0187587\pi\) | |||||||
\(432\) | 16.9187 | + | 4.36424i | 0.814004 | + | 0.209974i | ||||
\(433\) | 1.79555 | + | 31.9728i | 0.0862888 | + | 1.53651i | 0.680826 | + | 0.732446i | \(0.261621\pi\) |
−0.594537 | + | 0.804068i | \(0.702665\pi\) | |||||||
\(434\) | −48.6961 | + | 14.0291i | −2.33749 | + | 0.673418i | ||||
\(435\) | −0.0742550 | + | 0.0332270i | −0.00356025 | + | 0.00159311i | ||||
\(436\) | −1.60144 | − | 1.07005i | −0.0766952 | − | 0.0512461i | ||||
\(437\) | 0.301626 | − | 1.51638i | 0.0144288 | − | 0.0725382i | ||||
\(438\) | −14.7248 | − | 9.25222i | −0.703579 | − | 0.442088i | ||||
\(439\) | 2.72114 | − | 32.2605i | 0.129873 | − | 1.53971i | −0.567723 | − | 0.823220i | \(-0.692176\pi\) |
0.697596 | − | 0.716491i | \(-0.254253\pi\) | |||||||
\(440\) | −0.856932 | − | 5.04354i | −0.0408526 | − | 0.240441i | ||||
\(441\) | 19.8745 | + | 15.8494i | 0.946405 | + | 0.754733i | ||||
\(442\) | −4.86248 | + | 15.1227i | −0.231285 | + | 0.719314i | ||||
\(443\) | −3.32464 | − | 14.5662i | −0.157958 | − | 0.692061i | −0.990433 | − | 0.137997i | \(-0.955934\pi\) |
0.832474 | − | 0.554064i | \(-0.186924\pi\) | |||||||
\(444\) | 0.129773 | − | 2.31083i | 0.00615877 | − | 0.109667i | ||||
\(445\) | 4.75805 | − | 14.9282i | 0.225553 | − | 0.707666i | ||||
\(446\) | −7.07784 | − | 11.2643i | −0.335146 | − | 0.533381i | ||||
\(447\) | 4.71209 | + | 2.10853i | 0.222874 | + | 0.0997299i | ||||
\(448\) | 38.2415 | + | 5.39881i | 1.80674 | + | 0.255070i | ||||
\(449\) | 18.5685 | + | 15.6797i | 0.876302 | + | 0.739971i | 0.966694 | − | 0.255935i | \(-0.0823834\pi\) |
−0.0903921 | + | 0.995906i | \(0.528812\pi\) | |||||||
\(450\) | −0.945767 | − | 1.71124i | −0.0445839 | − | 0.0806685i | ||||
\(451\) | −0.441443 | − | 7.86062i | −0.0207867 | − | 0.370142i | ||||
\(452\) | −0.869054 | − | 1.15477i | −0.0408769 | − | 0.0543159i | ||||
\(453\) | 21.9823 | − | 7.00640i | 1.03282 | − | 0.329189i | ||||
\(454\) | 1.05048 | + | 2.03340i | 0.0493014 | + | 0.0954321i | ||||
\(455\) | 25.0651 | + | 8.77066i | 1.17507 | + | 0.411175i | ||||
\(456\) | −0.486690 | + | 0.185779i | −0.0227913 | + | 0.00869991i | ||||
\(457\) | −6.48023 | + | 1.10104i | −0.303133 | + | 0.0515043i | −0.317081 | − | 0.948398i | \(-0.602703\pi\) |
0.0139486 | + | 0.999903i | \(0.495560\pi\) | |||||||
\(458\) | 3.51288 | + | 4.40501i | 0.164146 | + | 0.205833i | ||||
\(459\) | −19.8478 | + | 5.66336i | −0.926414 | + | 0.264343i | ||||
\(460\) | −4.06051 | + | 0.926784i | −0.189322 | + | 0.0432115i | ||||
\(461\) | 1.88362 | − | 33.5410i | 0.0877291 | − | 1.56216i | −0.578043 | − | 0.816006i | \(-0.696183\pi\) |
0.665772 | − | 0.746155i | \(-0.268102\pi\) | |||||||
\(462\) | −0.415894 | + | 4.93064i | −0.0193492 | + | 0.229394i | ||||
\(463\) | −5.77728 | + | 3.63010i | −0.268493 | + | 0.168705i | −0.659549 | − | 0.751662i | \(-0.729253\pi\) |
0.391056 | + | 0.920367i | \(0.372110\pi\) | |||||||
\(464\) | −0.104852 | + | 0.0885399i | −0.00486765 | + | 0.00411036i | ||||
\(465\) | −16.5678 | − | 6.32425i | −0.768312 | − | 0.293280i | ||||
\(466\) | −2.73012 | − | 13.7253i | −0.126471 | − | 0.635811i | ||||
\(467\) | 2.16049 | − | 5.21587i | 0.0999754 | − | 0.241362i | −0.865976 | − | 0.500086i | \(-0.833302\pi\) |
0.965951 | + | 0.258724i | \(0.0833019\pi\) | |||||||
\(468\) | −1.30260 | − | 0.221320i | −0.0602125 | − | 0.0102305i | ||||
\(469\) | −34.8988 | + | 41.3285i | −1.61148 | + | 1.90837i | ||||
\(470\) | 5.29807 | + | 0.747963i | 0.244382 | + | 0.0345010i | ||||
\(471\) | 4.43943 | + | 3.34101i | 0.204558 | + | 0.153946i | ||||
\(472\) | −17.2771 | + | 17.2771i | −0.795242 | + | 0.795242i | ||||
\(473\) | −2.19234 | − | 5.01912i | −0.100804 | − | 0.230779i | ||||
\(474\) | −14.4272 | + | 5.97596i | −0.662665 | + | 0.274485i | ||||
\(475\) | 0.116230 | + | 0.0559734i | 0.00533299 | + | 0.00256823i | ||||
\(476\) | −3.87365 | + | 1.59298i | −0.177549 | + | 0.0730141i | ||||
\(477\) | 1.34356 | + | 1.68478i | 0.0615176 | + | 0.0771406i | ||||
\(478\) | 18.6087 | + | 26.2265i | 0.851142 | + | 1.19957i | ||||
\(479\) | −16.2290 | − | 24.2883i | −0.741520 | − | 1.10976i | −0.989992 | − | 0.141124i | \(-0.954928\pi\) |
0.248472 | − | 0.968639i | \(-0.420072\pi\) | |||||||
\(480\) | 1.88281 | + | 1.88281i | 0.0859383 | + | 0.0859383i | ||||
\(481\) | −0.820135 | − | 29.2307i | −0.0373949 | − | 1.33281i | ||||
\(482\) | −9.45205 | − | 29.6555i | −0.430529 | − | 1.35077i | ||||
\(483\) | 39.2471 | + | 1.10117i | 1.78580 | + | 0.0501048i | ||||
\(484\) | 2.06185 | − | 1.13955i | 0.0937206 | − | 0.0517975i | ||||
\(485\) | −12.4884 | − | 13.9745i | −0.567067 | − | 0.634549i | ||||
\(486\) | 8.69332 | + | 19.4277i | 0.394337 | + | 0.881256i | ||||
\(487\) | 7.72397 | + | 13.0940i | 0.350006 | + | 0.593347i | 0.983610 | − | 0.180311i | \(-0.0577105\pi\) |
−0.633603 | + | 0.773658i | \(0.718425\pi\) | |||||||
\(488\) | 5.35433 | + | 10.3643i | 0.242379 | + | 0.469170i | ||||
\(489\) | 16.0362 | − | 10.0762i | 0.725184 | − | 0.455663i | ||||
\(490\) | −12.4819 | − | 32.6991i | −0.563875 | − | 1.47719i | ||||
\(491\) | −24.2237 | − | 21.6476i | −1.09320 | − | 0.976943i | −0.0933741 | − | 0.995631i | \(-0.529765\pi\) |
−0.999825 | + | 0.0186884i | \(0.994051\pi\) | |||||||
\(492\) | 1.34654 | + | 1.68850i | 0.0607066 | + | 0.0761236i | ||||
\(493\) | 0.0539315 | − | 0.152878i | 0.00242895 | − | 0.00688528i | ||||
\(494\) | −0.608436 | + | 0.293007i | −0.0273748 | + | 0.0131830i | ||||
\(495\) | 2.29398 | − | 2.56697i | 0.103107 | − | 0.115377i | ||||
\(496\) | −29.8104 | − | 2.51448i | −1.33853 | − | 0.112903i | ||||
\(497\) | 5.85815 | + | 0.660055i | 0.262774 | + | 0.0296075i | ||||
\(498\) | −2.62810 | − | 10.1883i | −0.117768 | − | 0.456548i | ||||
\(499\) | 25.1283 | − | 23.7567i | 1.12490 | − | 1.06350i | 0.127466 | − | 0.991843i | \(-0.459316\pi\) |
0.997430 | − | 0.0716522i | \(-0.0228272\pi\) | |||||||
\(500\) | 0.0759616 | − | 2.70737i | 0.00339710 | − | 0.121077i | ||||
\(501\) | −6.45182 | + | 1.85874i | −0.288246 | + | 0.0830423i | ||||
\(502\) | −7.71342 | − | 8.63132i | −0.344267 | − | 0.385235i | ||||
\(503\) | −24.6686 | + | 11.0385i | −1.09992 | + | 0.492182i | −0.875944 | − | 0.482413i | \(-0.839761\pi\) |
−0.223975 | + | 0.974595i | \(0.571903\pi\) | |||||||
\(504\) | 13.3634 | + | 22.6542i | 0.595252 | + | 1.00910i | ||||
\(505\) | 0.571035 | + | 0.676242i | 0.0254107 | + | 0.0300924i | ||||
\(506\) | −5.21671 | − | 8.30234i | −0.231911 | − | 0.369084i | ||||
\(507\) | −4.61289 | − | 0.389093i | −0.204866 | − | 0.0172802i | ||||
\(508\) | −1.41024 | − | 1.98754i | −0.0625691 | − | 0.0881829i | ||||
\(509\) | − | 4.44634i | − | 0.197081i | −0.995133 | − | 0.0985404i | \(-0.968583\pi\) | ||
0.995133 | − | 0.0985404i | \(-0.0314174\pi\) | |||||||
\(510\) | 10.9867 | + | 2.86389i | 0.486499 | + | 0.126815i | ||||
\(511\) | −12.8912 | − | 56.4801i | −0.570274 | − | 2.49853i | ||||
\(512\) | 22.0538 | + | 12.1887i | 0.974651 | + | 0.538671i | ||||
\(513\) | −0.755756 | − | 0.445809i | −0.0333674 | − | 0.0196829i | ||||
\(514\) | 4.22267 | − | 1.47758i | 0.186254 | − | 0.0651731i | ||||
\(515\) | 30.0919 | + | 5.98565i | 1.32601 | + | 0.263759i | ||||
\(516\) | 1.28719 | + | 0.774869i | 0.0566656 | + | 0.0341117i | ||||
\(517\) | −0.317242 | − | 1.59488i | −0.0139523 | − | 0.0701429i | ||||
\(518\) | −44.5344 | + | 39.7984i | −1.95673 | + | 1.74864i | ||||
\(519\) | 12.5805 | − | 0.706507i | 0.552224 | − | 0.0310122i | ||||
\(520\) | 13.5468 | + | 11.4393i | 0.594068 | + | 0.501645i | ||||
\(521\) | −14.9819 | − | 5.71889i | −0.656369 | − | 0.250549i | 0.00570935 | − | 0.999984i | \(-0.498183\pi\) |
−0.662079 | + | 0.749434i | \(0.730326\pi\) | |||||||
\(522\) | −0.102444 | − | 0.0203773i | −0.00448383 | − | 0.000891889i | ||||
\(523\) | −6.14727 | + | 6.14727i | −0.268801 | + | 0.268801i | −0.828617 | − | 0.559816i | \(-0.810872\pi\) |
0.559816 | + | 0.828617i | \(0.310872\pi\) | |||||||
\(524\) | 1.31722 | − | 1.39327i | 0.0575432 | − | 0.0608654i | ||||
\(525\) | −0.906932 | + | 3.14803i | −0.0395817 | + | 0.137391i | ||||
\(526\) | 31.9239 | + | 7.28643i | 1.39195 | + | 0.317703i | ||||
\(527\) | 31.8786 | − | 15.2521i | 1.38865 | − | 0.664391i | ||||
\(528\) | −1.26740 | + | 2.63179i | −0.0551567 | + | 0.114534i | ||||
\(529\) | −44.6949 | + | 31.7127i | −1.94326 | + | 1.37881i | ||||
\(530\) | −0.414759 | − | 2.93788i | −0.0180160 | − | 0.127613i | ||||
\(531\) | −16.3388 | − | 1.84094i | −0.709044 | − | 0.0798901i | ||||
\(532\) | −0.162528 | − | 0.0727268i | −0.00704650 | − | 0.00315310i | ||||
\(533\) | 18.7457 | + | 19.8280i | 0.811968 | + | 0.858847i | ||||
\(534\) | −8.08480 | + | 6.08443i | −0.349863 | + | 0.263299i | ||||
\(535\) | −32.6713 | + | 9.41245i | −1.41250 | + | 0.406936i | ||||
\(536\) | −31.6101 | + | 17.4703i | −1.36535 | + | 0.754601i | ||||
\(537\) | −9.84197 | + | 7.40684i | −0.424712 | + | 0.319629i | ||||
\(538\) | 1.78870 | − | 12.6700i | 0.0771165 | − | 0.546241i | ||||
\(539\) | −8.12717 | + | 6.86278i | −0.350062 | + | 0.295601i | ||||
\(540\) | −0.264652 | + | 2.34885i | −0.0113888 | + | 0.101078i | ||||
\(541\) | −20.9305 | + | 35.4824i | −0.899873 | + | 1.52551i | −0.0498519 | + | 0.998757i | \(0.515875\pi\) |
−0.850021 | + | 0.526749i | \(0.823411\pi\) | |||||||
\(542\) | 4.18859 | − | 0.711669i | 0.179915 | − | 0.0305688i | ||||
\(543\) | 0.393944 | − | 1.72598i | 0.0169057 | − | 0.0740689i | ||||
\(544\) | −5.30443 | + | 0.135315i | −0.227425 | + | 0.00580159i | ||||
\(545\) | −7.54651 | + | 15.6705i | −0.323257 | + | 0.671250i | ||||
\(546\) | −9.92389 | − | 13.9864i | −0.424703 | − | 0.598563i | ||||
\(547\) | −0.681031 | − | 4.82397i | −0.0291188 | − | 0.206258i | 0.970237 | − | 0.242159i | \(-0.0778556\pi\) |
−0.999355 | + | 0.0359011i | \(0.988570\pi\) | |||||||
\(548\) | 0.325955 | − | 0.0367263i | 0.0139241 | − | 0.00156887i | ||||
\(549\) | −3.20639 | + | 7.16558i | −0.136846 | + | 0.305820i | ||||
\(550\) | 0.779513 | − | 0.248453i | 0.0332385 | − | 0.0105941i | ||||
\(551\) | 0.00629064 | − | 0.00281488i | 0.000267990 | − | 0.000119918i | ||||
\(552\) | 24.2195 | + | 10.0321i | 1.03085 | + | 0.426993i | ||||
\(553\) | −48.0616 | − | 19.9078i | −2.04379 | − | 0.846564i | ||||
\(554\) | −11.3030 | − | 25.2596i | −0.480217 | − | 1.07318i | ||||
\(555\) | −20.8266 | + | 1.75671i | −0.884042 | + | 0.0745680i | ||||
\(556\) | 2.36510 | − | 0.610083i | 0.100302 | − | 0.0258733i | ||||
\(557\) | −2.62952 | − | 7.51474i | −0.111416 | − | 0.318410i | 0.874652 | − | 0.484752i | \(-0.161090\pi\) |
−0.986068 | + | 0.166342i | \(0.946804\pi\) | |||||||
\(558\) | −12.6501 | − | 18.9322i | −0.535520 | − | 0.801463i | ||||
\(559\) | 17.0284 | + | 8.38854i | 0.720225 | + | 0.354797i | ||||
\(560\) | − | 32.0188i | − | 1.35304i | ||||||
\(561\) | −0.281270 | − | 3.43911i | −0.0118752 | − | 0.145199i | ||||
\(562\) | 0.584895 | + | 1.21455i | 0.0246723 | + | 0.0512326i | ||||
\(563\) | 0.559372 | − | 1.01211i | 0.0235747 | − | 0.0426553i | −0.863176 | − | 0.504903i | \(-0.831528\pi\) |
0.886751 | + | 0.462248i | \(0.152957\pi\) | |||||||
\(564\) | 0.324142 | + | 0.306449i | 0.0136488 | + | 0.0129038i | ||||
\(565\) | −9.22861 | + | 9.22861i | −0.388250 | + | 0.388250i | ||||
\(566\) | −19.8773 | − | 3.95385i | −0.835507 | − | 0.166193i | ||||
\(567\) | −1.54040 | + | 4.03542i | −0.0646907 | + | 0.169472i | ||||
\(568\) | 3.49705 | + | 1.80662i | 0.146733 | + | 0.0758041i | ||||
\(569\) | −22.5911 | + | 31.8392i | −0.947068 | + | 1.33477i | −0.00477125 | + | 0.999989i | \(0.501519\pi\) |
−0.942297 | + | 0.334779i | \(0.891338\pi\) | |||||||
\(570\) | 0.233479 | + | 0.422448i | 0.00977934 | + | 0.0176944i | ||||
\(571\) | −4.15290 | + | 16.0995i | −0.173793 | + | 0.673741i | 0.820919 | + | 0.571044i | \(0.193461\pi\) |
−0.994713 | + | 0.102697i | \(0.967253\pi\) | |||||||
\(572\) | 0.197169 | − | 0.516528i | 0.00824405 | − | 0.0215971i | ||||
\(573\) | 1.05995 | + | 0.797693i | 0.0442800 | + | 0.0333241i | ||||
\(574\) | 6.23998 | − | 55.3814i | 0.260452 | − | 2.31157i | ||||
\(575\) | −2.31513 | − | 6.06501i | −0.0965478 | − | 0.252928i | ||||
\(576\) | 2.90668 | + | 17.1075i | 0.121112 | + | 0.712813i | ||||
\(577\) | −15.0328 | + | 7.23943i | −0.625825 | + | 0.301382i | −0.719788 | − | 0.694194i | \(-0.755761\pi\) |
0.0939625 | + | 0.995576i | \(0.470047\pi\) | |||||||
\(578\) | −19.2186 | + | 11.9398i | −0.799390 | + | 0.496631i | ||||
\(579\) | −7.09660 | − | 5.65935i | −0.294925 | − | 0.235195i | ||||
\(580\) | −0.0138431 | − | 0.0123709i | −0.000574802 | − | 0.000513674i | ||||
\(581\) | 17.8087 | − | 30.1902i | 0.738831 | − | 1.25250i | ||||
\(582\) | 1.35514 | + | 12.0272i | 0.0561724 | + | 0.498544i | ||||
\(583\) | −0.801128 | + | 0.413872i | −0.0331793 | + | 0.0171408i | ||||
\(584\) | 5.40720 | − | 38.3010i | 0.223751 | − | 1.58491i | ||||
\(585\) | −0.334636 | + | 11.9269i | −0.0138355 | + | 0.493115i | ||||
\(586\) | 16.5038 | + | 11.7100i | 0.681764 | + | 0.483738i | ||||
\(587\) | −5.84963 | − | 20.3045i | −0.241440 | − | 0.838056i | −0.985461 | − | 0.169901i | \(-0.945655\pi\) |
0.744021 | − | 0.668156i | \(-0.232916\pi\) | |||||||
\(588\) | 0.728827 | − | 2.82543i | 0.0300563 | − | 0.116519i | ||||
\(589\) | 1.40357 | + | 0.535770i | 0.0578330 | + | 0.0220760i | ||||
\(590\) | 18.0885 | + | 13.6130i | 0.744691 | + | 0.560437i | ||||
\(591\) | 0.678072 | + | 6.01806i | 0.0278922 | + | 0.247550i | ||||
\(592\) | −32.9403 | + | 12.5740i | −1.35384 | + | 0.516787i | ||||
\(593\) | −3.19874 | − | 0.921542i | −0.131357 | − | 0.0378432i | 0.210510 | − | 0.977592i | \(-0.432488\pi\) |
−0.341866 | + | 0.939749i | \(0.611059\pi\) | |||||||
\(594\) | −5.42523 | + | 1.23827i | −0.222600 | + | 0.0508069i | ||||
\(595\) | 19.1340 | + | 32.6263i | 0.784417 | + | 1.33755i | ||||
\(596\) | 1.17812i | 0.0482577i | ||||||||
\(597\) | 2.66550 | − | 1.89127i | 0.109092 | − | 0.0774047i | ||||
\(598\) | 32.3785 | + | 10.3199i | 1.32405 | + | 0.422014i | ||||
\(599\) | 1.39269 | − | 3.98007i | 0.0569037 | − | 0.162621i | −0.911923 | − | 0.410362i | \(-0.865402\pi\) |
0.968826 | + | 0.247741i | \(0.0796881\pi\) | |||||||
\(600\) | −1.31531 | + | 1.74774i | −0.0536973 | + | 0.0713512i | ||||
\(601\) | 34.2465 | + | 22.8828i | 1.39695 | + | 0.933409i | 0.999878 | + | 0.0156192i | \(0.00497196\pi\) |
0.397067 | + | 0.917790i | \(0.370028\pi\) | |||||||
\(602\) | −9.34856 | − | 37.6271i | −0.381019 | − | 1.53357i | ||||
\(603\) | −22.4541 | − | 9.30081i | −0.914403 | − | 0.378758i | ||||
\(604\) | 3.50854 | + | 3.92606i | 0.142761 | + | 0.159749i | ||||
\(605\) | −12.7923 | − | 16.9980i | −0.520083 | − | 0.691069i | ||||
\(606\) | −0.0480426 | − | 0.569570i | −0.00195160 | − | 0.0231372i | ||||
\(607\) | −19.2118 | + | 0.539030i | −0.779782 | + | 0.0218786i | −0.415716 | − | 0.909495i | \(-0.636469\pi\) |
−0.364066 | + | 0.931373i | \(0.618612\pi\) | |||||||
\(608\) | −0.159506 | − | 0.159506i | −0.00646882 | − | 0.00646882i | ||||
\(609\) | 0.0972324 | + | 0.145519i | 0.00394006 | + | 0.00589671i | ||||
\(610\) | 8.81516 | − | 6.25469i | 0.356915 | − | 0.253245i | ||||
\(611\) | 4.40631 | + | 3.51392i | 0.178260 | + | 0.142158i | ||||
\(612\) | −1.21048 | − | 1.44092i | −0.0489308 | − | 0.0582459i | ||||
\(613\) | −2.34070 | + | 2.93514i | −0.0945398 | + | 0.118549i | −0.826851 | − | 0.562421i | \(-0.809870\pi\) |
0.732311 | + | 0.680970i | \(0.238442\pi\) | |||||||
\(614\) | −41.0378 | − | 2.30463i | −1.65615 | − | 0.0930074i | ||||
\(615\) | 13.3983 | − | 14.1719i | 0.540274 | − | 0.571466i | ||||
\(616\) | −10.3884 | + | 3.63505i | −0.418560 | + | 0.146460i | ||||
\(617\) | 13.1651 | − | 6.80126i | 0.530007 | − | 0.273808i | −0.173085 | − | 0.984907i | \(-0.555374\pi\) |
0.703092 | + | 0.711099i | \(0.251802\pi\) | |||||||
\(618\) | −13.6122 | − | 14.3981i | −0.547564 | − | 0.579178i | ||||
\(619\) | −13.0206 | − | 0.365323i | −0.523343 | − | 0.0146836i | −0.234603 | − | 0.972091i | \(-0.575379\pi\) |
−0.288740 | + | 0.957408i | \(0.593236\pi\) | |||||||
\(620\) | −0.226923 | − | 4.04074i | −0.00911346 | − | 0.162280i | ||||
\(621\) | 12.2237 | + | 42.4294i | 0.490520 | + | 1.70263i | ||||
\(622\) | −13.0125 | − | 6.72243i | −0.521755 | − | 0.269545i | ||||
\(623\) | −33.3769 | − | 4.71204i | −1.33722 | − | 0.188784i | ||||
\(624\) | −2.52872 | − | 9.80304i | −0.101230 | − | 0.392436i | ||||
\(625\) | −20.6477 | + | 2.32644i | −0.825909 | + | 0.0930576i | ||||
\(626\) | 8.62315 | + | 2.74845i | 0.344650 | + | 0.109850i | ||||
\(627\) | 0.0977476 | − | 0.109380i | 0.00390366 | − | 0.00436820i | ||||
\(628\) | −0.282156 | + | 1.23621i | −0.0112592 | + | 0.0493300i | ||||
\(629\) | 26.0512 | − | 32.4972i | 1.03873 | − | 1.29575i | ||||
\(630\) | 19.0531 | − | 15.1943i | 0.759093 | − | 0.605357i | ||||
\(631\) | 16.7965 | + | 0.943271i | 0.668658 | + | 0.0375510i | 0.387163 | − | 0.922011i | \(-0.373455\pi\) |
0.281496 | + | 0.959562i | \(0.409169\pi\) | |||||||
\(632\) | −25.2398 | − | 23.8622i | −1.00399 | − | 0.949185i | ||||
\(633\) | 24.3762 | − | 8.52959i | 0.968865 | − | 0.339021i | ||||
\(634\) | 26.2338 | − | 22.1525i | 1.04188 | − | 0.879787i | ||||
\(635\) | −15.9919 | + | 15.1190i | −0.634617 | + | 0.599978i | ||||
\(636\) | 0.113531 | − | 0.219761i | 0.00450180 | − | 0.00871408i | ||||
\(637\) | 6.17537 | − | 36.3456i | 0.244677 | − | 1.44007i | ||||
\(638\) | 0.0167260 | − | 0.0403801i | 0.000662188 | − | 0.00159866i | ||||
\(639\) | 0.516751 | + | 2.59788i | 0.0204424 | + | 0.102771i | ||||
\(640\) | 6.62508 | − | 17.3559i | 0.261879 | − | 0.686051i | ||||
\(641\) | 15.6119 | − | 8.06531i | 0.616634 | − | 0.318561i | −0.122141 | − | 0.992513i | \(-0.538976\pi\) |
0.738775 | + | 0.673952i | \(0.235405\pi\) | |||||||
\(642\) | 20.7252 | + | 7.25205i | 0.817957 | + | 0.286216i | ||||
\(643\) | −24.6953 | + | 3.48639i | −0.973887 | + | 0.137490i | −0.608662 | − | 0.793429i | \(-0.708294\pi\) |
−0.365225 | + | 0.930919i | \(0.619008\pi\) | |||||||
\(644\) | 3.42895 | + | 8.27823i | 0.135120 | + | 0.326208i | ||||
\(645\) | 5.30377 | − | 12.4879i | 0.208836 | − | 0.491712i | ||||
\(646\) | −0.930757 | − | 0.242620i | −0.0366201 | − | 0.00954575i | ||||
\(647\) | −4.84686 | + | 10.0646i | −0.190550 | + | 0.395680i | −0.974254 | − | 0.225454i | \(-0.927614\pi\) |
0.783704 | + | 0.621134i | \(0.213328\pi\) | |||||||
\(648\) | −1.92175 | + | 2.15044i | −0.0754936 | + | 0.0844774i | ||||
\(649\) | 2.08936 | − | 6.55529i | 0.0820145 | − | 0.257318i | ||||
\(650\) | −1.50861 | + | 2.40094i | −0.0591727 | + | 0.0941728i | ||||
\(651\) | −7.44306 | + | 37.4188i | −0.291716 | + | 1.46656i | ||||
\(652\) | 3.59377 | + | 2.40128i | 0.140743 | + | 0.0940415i | ||||
\(653\) | −11.2839 | − | 25.2170i | −0.441572 | − | 0.986817i | −0.988719 | − | 0.149781i | \(-0.952143\pi\) |
0.547147 | − | 0.837037i | \(-0.315714\pi\) | |||||||
\(654\) | 9.83084 | − | 5.43331i | 0.384416 | − | 0.212459i | ||||
\(655\) | −14.1211 | − | 10.0195i | −0.551757 | − | 0.391492i | ||||
\(656\) | 15.1007 | − | 29.2303i | 0.589584 | − | 1.14125i | ||||
\(657\) | 22.4197 | − | 13.2251i | 0.874677 | − | 0.515959i | ||||
\(658\) | −0.322844 | − | 11.5066i | −0.0125858 | − | 0.448573i | ||||
\(659\) | 10.1230 | + | 28.9298i | 0.394335 | + | 1.12694i | 0.954409 | + | 0.298501i | \(0.0964867\pi\) |
−0.560075 | + | 0.828442i | \(0.689228\pi\) | |||||||
\(660\) | −0.376505 | − | 0.120003i | −0.0146554 | − | 0.00467110i | ||||
\(661\) | 0.364554 | + | 2.14561i | 0.0141795 | + | 0.0834547i | 0.992077 | − | 0.125629i | \(-0.0400948\pi\) |
−0.977898 | + | 0.209083i | \(0.932952\pi\) | |||||||
\(662\) | 8.47313 | + | 1.93394i | 0.329318 | + | 0.0751646i | ||||
\(663\) | 8.43485 | + | 8.47791i | 0.327583 | + | 0.329255i | ||||
\(664\) | 18.2974 | − | 14.5917i | 0.710078 | − | 0.566268i | ||||
\(665\) | −0.445134 | + | 1.54509i | −0.0172616 | + | 0.0599162i | ||||
\(666\) | −23.1139 | − | 13.6345i | −0.895644 | − | 0.528327i | ||||
\(667\) | −0.327345 | − | 0.114543i | −0.0126749 | − | 0.00443513i | ||||
\(668\) | −0.988588 | − | 1.17072i | −0.0382496 | − | 0.0452967i | ||||
\(669\) | −9.98002 | + | 0.841804i | −0.385850 | + | 0.0325460i | ||||
\(670\) | 20.1222 | + | 26.7377i | 0.777387 | + | 1.03297i | ||||
\(671\) | −2.67906 | − | 1.90089i | −0.103424 | − | 0.0733831i | ||||
\(672\) | 3.31488 | − | 4.67189i | 0.127874 | − | 0.180222i | ||||
\(673\) | 17.0610 | − | 20.2043i | 0.657653 | − | 0.778818i | −0.328527 | − | 0.944495i | \(-0.606552\pi\) |
0.986180 | + | 0.165677i | \(0.0529808\pi\) | |||||||
\(674\) | −32.8388 | + | 19.3711i | −1.26490 | + | 0.746148i | ||||
\(675\) | −3.68285 | + | 0.103331i | −0.141753 | + | 0.00397721i | ||||
\(676\) | −0.348929 | − | 0.997182i | −0.0134203 | − | 0.0383532i | ||||
\(677\) | −7.02002 | − | 0.592131i | −0.269801 | − | 0.0227575i | −0.0516238 | − | 0.998667i | \(-0.516440\pi\) |
−0.218177 | + | 0.975909i | \(0.570011\pi\) | |||||||
\(678\) | 8.30941 | − | 1.41183i | 0.319121 | − | 0.0542208i | ||||
\(679\) | −25.1391 | + | 31.5234i | −0.964748 | + | 1.20976i | ||||
\(680\) | 4.16680 | + | 24.9078i | 0.159789 | + | 0.955170i | ||||
\(681\) | 1.72305 | 0.0660276 | ||||||||
\(682\) | 8.80260 | − | 3.64616i | 0.337069 | − | 0.139619i | ||||
\(683\) | −10.9603 | + | 11.5931i | −0.419383 | + | 0.443596i | −0.901675 | − | 0.432415i | \(-0.857662\pi\) |
0.482292 | + | 0.876011i | \(0.339805\pi\) | |||||||
\(684\) | 0.00895752 | − | 0.0795002i | 0.000342499 | − | 0.00303977i | ||||
\(685\) | −0.739871 | − | 2.86824i | −0.0282690 | − | 0.109590i | ||||
\(686\) | −29.2079 | + | 17.2293i | −1.11516 | + | 0.657818i | ||||
\(687\) | 4.16021 | − | 0.827518i | 0.158722 | − | 0.0315718i | ||||
\(688\) | 2.76558 | − | 22.7203i | 0.105437 | − | 0.866202i | ||||
\(689\) | 1.19596 | − | 2.88731i | 0.0455626 | − | 0.109998i | ||||
\(690\) | 6.06689 | − | 23.5194i | 0.230962 | − | 0.895368i | ||||
\(691\) | 5.56614 | − | 39.4268i | 0.211746 | − | 1.49987i | −0.540701 | − | 0.841215i | \(-0.681841\pi\) |
0.752447 | − | 0.658653i | \(-0.228873\pi\) | |||||||
\(692\) | 1.31984 | + | 2.55480i | 0.0501728 | + | 0.0971189i | ||||
\(693\) | −6.27113 | − | 3.94041i | −0.238221 | − | 0.149684i | ||||
\(694\) | 26.1595 | − | 17.4792i | 0.992999 | − | 0.663501i | ||||
\(695\) | −8.44082 | − | 20.3779i | −0.320178 | − | 0.772979i | ||||
\(696\) | 0.0260025 | + | 0.113924i | 0.000985621 | + | 0.00431829i | ||||
\(697\) | 2.08037 | + | 38.8089i | 0.0787996 | + | 1.46999i | ||||
\(698\) | −1.68039 | + | 7.36227i | −0.0636037 | + | 0.278666i | ||||
\(699\) | −10.1237 | − | 2.91660i | −0.382915 | − | 0.110316i | ||||
\(700\) | −0.740305 | + | 0.104514i | −0.0279809 | + | 0.00395025i | ||||
\(701\) | 10.9664 | + | 6.89064i | 0.414195 | + | 0.260256i | 0.722970 | − | 0.690879i | \(-0.242776\pi\) |
−0.308775 | + | 0.951135i | \(0.599919\pi\) | |||||||
\(702\) | 11.5973 | − | 15.4101i | 0.437711 | − | 0.581616i | ||||
\(703\) | 1.76437 | − | 0.148823i | 0.0665444 | − | 0.00561295i | ||||
\(704\) | −7.25835 | − | 0.203650i | −0.273559 | − | 0.00767533i | ||||
\(705\) | 2.33100 | − | 3.28524i | 0.0877906 | − | 0.123729i | ||||
\(706\) | −23.4452 | + | 1.31666i | −0.882373 | + | 0.0495530i | ||||
\(707\) | 1.22851 | − | 1.45484i | 0.0462027 | − | 0.0547150i | ||||
\(708\) | 0.573141 | + | 1.79821i | 0.0215399 | + | 0.0675808i | ||||
\(709\) | 22.6264 | − | 5.83654i | 0.849752 | − | 0.219196i | 0.200429 | − | 0.979708i | \(-0.435767\pi\) |
0.649323 | + | 0.760513i | \(0.275052\pi\) | |||||||
\(710\) | 1.20453 | − | 3.44234i | 0.0452051 | − | 0.129189i | ||||
\(711\) | 1.96458 | − | 23.2911i | 0.0736775 | − | 0.873484i | ||||
\(712\) | −19.6980 | − | 10.8867i | −0.738215 | − | 0.407997i | ||||
\(713\) | −32.8023 | − | 68.1148i | −1.22846 | − | 2.55092i | ||||
\(714\) | 2.11499 | − | 24.3345i | 0.0791514 | − | 0.910694i | ||||
\(715\) | −4.86756 | − | 1.11099i | −0.182036 | − | 0.0415486i | ||||
\(716\) | −2.46032 | − | 1.35977i | −0.0919465 | − | 0.0508171i | ||||
\(717\) | 23.9721 | − | 3.38430i | 0.895255 | − | 0.126389i | ||||
\(718\) | −23.2705 | + | 37.0348i | −0.868447 | + | 1.38213i | ||||
\(719\) | 11.6904 | − | 15.5339i | 0.435979 | − | 0.579315i | −0.526669 | − | 0.850071i | \(-0.676559\pi\) |
0.962648 | + | 0.270755i | \(0.0872734\pi\) | |||||||
\(720\) | 13.7070 | − | 4.36881i | 0.510829 | − | 0.162816i | ||||
\(721\) | 1.85125 | − | 65.9810i | 0.0689441 | − | 2.45726i | ||||
\(722\) | 12.2122 | + | 22.0963i | 0.454491 | + | 0.822340i | ||||
\(723\) | −23.1016 | − | 3.92512i | −0.859158 | − | 0.145977i | ||||
\(724\) | 0.396261 | − | 0.0788211i | 0.0147269 | − | 0.00292936i | ||||
\(725\) | 0.0160769 | − | 0.0240607i | 0.000597080 | − | 0.000893593i | ||||
\(726\) | 0.385319 | + | 13.7333i | 0.0143005 | + | 0.509690i | ||||
\(727\) | −7.49849 | − | 0.844877i | −0.278104 | − | 0.0313348i | −0.0281890 | − | 0.999603i | \(-0.508974\pi\) |
−0.249915 | + | 0.968268i | \(0.580403\pi\) | |||||||
\(728\) | 19.3805 | − | 32.8547i | 0.718289 | − | 1.21768i | ||||
\(729\) | 13.0861 | + | 0.734898i | 0.484670 | + | 0.0272185i | ||||
\(730\) | −35.8393 | −1.32647 | ||||||||
\(731\) | 10.7592 | + | 24.8040i | 0.397945 | + | 0.917409i | ||||
\(732\) | 0.901102 | 0.0333057 | ||||||||
\(733\) | −41.2387 | − | 2.31592i | −1.52319 | − | 0.0855403i | −0.725335 | − | 0.688396i | \(-0.758315\pi\) |
−0.797851 | + | 0.602855i | \(0.794030\pi\) | |||||||
\(734\) | −23.4739 | + | 39.7940i | −0.866438 | + | 1.46882i | ||||
\(735\) | −26.1843 | − | 2.95026i | −0.965823 | − | 0.108822i | ||||
\(736\) | 0.318366 | + | 11.3470i | 0.0117351 | + | 0.418256i | ||||
\(737\) | 5.65017 | − | 8.45608i | 0.208127 | − | 0.311484i | ||||
\(738\) | 24.5597 | − | 4.88523i | 0.904055 | − | 0.179828i | ||||
\(739\) | −30.5309 | − | 5.18740i | −1.12310 | − | 0.190822i | −0.423870 | − | 0.905723i | \(-0.639329\pi\) |
−0.699225 | + | 0.714901i | \(0.746472\pi\) | |||||||
\(740\) | −2.30725 | − | 4.17466i | −0.0848164 | − | 0.153464i | ||||
\(741\) | −0.0142590 | + | 0.508209i | −0.000523816 | + | 0.0186695i | ||||
\(742\) | −6.08168 | + | 1.93841i | −0.223266 | + | 0.0711611i | ||||
\(743\) | 5.97491 | − | 7.93927i | 0.219198 | − | 0.291264i | −0.676027 | − | 0.736876i | \(-0.736300\pi\) |
0.895226 | + | 0.445613i | \(0.147014\pi\) | |||||||
\(744\) | −13.5527 | + | 21.5690i | −0.496865 | + | 0.790757i | ||||
\(745\) | 10.5345 | − | 1.48722i | 0.385953 | − | 0.0544874i | ||||
\(746\) | 6.47100 | + | 3.57639i | 0.236920 | + | 0.130941i | ||||
\(747\) | 15.3541 | + | 3.50447i | 0.561776 | + | 0.128222i | ||||
\(748\) | 0.690185 | − | 0.379161i | 0.0252357 | − | 0.0138635i | ||||
\(749\) | 31.7372 | + | 65.9029i | 1.15965 | + | 2.40804i | ||||
\(750\) | 13.8243 | + | 7.64045i | 0.504794 | + | 0.278990i | ||||
\(751\) | −1.87943 | + | 22.2816i | −0.0685815 | + | 0.813068i | 0.875471 | + | 0.483271i | \(0.160552\pi\) |
−0.944052 | + | 0.329797i | \(0.893020\pi\) | |||||||
\(752\) | 2.24439 | − | 6.41409i | 0.0818443 | − | 0.233898i | ||||
\(753\) | −8.43851 | + | 2.17674i | −0.307516 | + | 0.0793247i | ||||
\(754\) | 0.0460014 | + | 0.144328i | 0.00167527 | + | 0.00525611i | ||||
\(755\) | 30.6768 | − | 36.3286i | 1.11644 | − | 1.32213i | ||||
\(756\) | 5.07721 | − | 0.285130i | 0.184656 | − | 0.0103701i | ||||
\(757\) | 8.04446 | − | 11.3376i | 0.292381 | − | 0.412073i | −0.642916 | − | 0.765937i | \(-0.722275\pi\) |
0.935297 | + | 0.353864i | \(0.115133\pi\) | |||||||
\(758\) | 0.138340 | + | 0.00388146i | 0.00502475 | + | 0.000140981i | ||||
\(759\) | −7.35575 | + | 0.620450i | −0.266997 | + | 0.0225209i | ||||
\(760\) | −0.645572 | + | 0.857815i | −0.0234173 | + | 0.0311162i | ||||
\(761\) | −26.5873 | − | 16.7059i | −0.963791 | − | 0.605590i | −0.0444329 | − | 0.999012i | \(-0.514148\pi\) |
−0.919358 | + | 0.393423i | \(0.871291\pi\) | |||||||
\(762\) | 14.0728 | − | 1.98675i | 0.509804 | − | 0.0719724i | ||||
\(763\) | 35.9561 | + | 10.3588i | 1.30170 | + | 0.375013i | ||||
\(764\) | −0.0673669 | + | 0.295154i | −0.00243725 | + | 0.0106783i | ||||
\(765\) | −11.3563 | + | 12.6428i | −0.410588 | + | 0.457101i | ||||
\(766\) | 9.28107 | + | 40.6630i | 0.335339 | + | 1.46921i | ||||
\(767\) | 9.12533 | + | 22.0305i | 0.329496 | + | 0.795475i | ||||
\(768\) | 4.51007 | − | 3.01353i | 0.162743 | − | 0.108741i | ||||
\(769\) | 18.8481 | + | 11.8431i | 0.679681 | + | 0.427072i | 0.827140 | − | 0.561996i | \(-0.189967\pi\) |
−0.147459 | + | 0.989068i | \(0.547109\pi\) | |||||||
\(770\) | 4.68047 | + | 9.05993i | 0.168672 | + | 0.326497i | ||||
\(771\) | 0.470819 | − | 3.33497i | 0.0169561 | − | 0.120106i | ||||
\(772\) | 0.517407 | − | 2.00582i | 0.0186219 | − | 0.0721911i | ||||
\(773\) | 4.06183 | − | 9.80613i | 0.146094 | − | 0.352702i | −0.833845 | − | 0.551998i | \(-0.813866\pi\) |
0.979939 | + | 0.199296i | \(0.0638656\pi\) | |||||||
\(774\) | 14.8323 | − | 9.13607i | 0.533136 | − | 0.328389i | ||||
\(775\) | 6.18699 | − | 1.23067i | 0.222243 | − | 0.0442070i | ||||
\(776\) | −23.1874 | + | 13.6779i | −0.832380 | + | 0.491008i | ||||
\(777\) | 11.2312 | + | 43.5396i | 0.402916 | + | 1.56197i | ||||
\(778\) | −0.737494 | + | 6.54544i | −0.0264404 | + | 0.234665i | ||||
\(779\) | −1.13507 | + | 1.20060i | −0.0406679 | + | 0.0430159i | ||||
\(780\) | 1.26533 | − | 0.524115i | 0.0453059 | − | 0.0187663i | ||||
\(781\) | −1.10838 | −0.0396608 | ||||||||
\(782\) | 25.6475 | + | 41.0494i | 0.917153 | + | 1.46792i | ||||
\(783\) | −0.122717 | + | 0.153882i | −0.00438554 | + | 0.00549929i | ||||
\(784\) | −43.8234 | + | 7.44590i | −1.56512 | + | 0.265925i | ||||
\(785\) | 11.4100 | + | 0.962424i | 0.407241 | + | 0.0343504i | ||||
\(786\) | 3.69311 | + | 10.5543i | 0.131729 | + | 0.376459i | ||||
\(787\) | 2.28541 | − | 0.0641225i | 0.0814661 | − | 0.00228572i | 0.0127101 | − | 0.999919i | \(-0.495954\pi\) |
0.0687560 | + | 0.997634i | \(0.478097\pi\) | |||||||
\(788\) | −1.19042 | + | 0.702210i | −0.0424069 | + | 0.0250152i | ||||
\(789\) | 15.9048 | − | 18.8350i | 0.566224 | − | 0.670544i | ||||
\(790\) | −18.6231 | + | 26.2467i | −0.662579 | + | 0.933817i | ||||
\(791\) | 22.8993 | + | 16.2479i | 0.814204 | + | 0.577709i | ||||
\(792\) | −2.97358 | − | 3.95119i | −0.105662 | − | 0.140400i | ||||
\(793\) | 11.3447 | − | 0.956915i | 0.402863 | − | 0.0339810i | ||||
\(794\) | −12.5192 | − | 14.8257i | −0.444290 | − | 0.526145i | ||||
\(795\) | −2.10836 | − | 0.737748i | −0.0747759 | − | 0.0261652i | ||||
\(796\) | 0.642432 | + | 0.378961i | 0.0227704 | + | 0.0134319i | ||||
\(797\) | −7.74579 | + | 26.8862i | −0.274370 | + | 0.952359i | 0.697450 | + | 0.716634i | \(0.254318\pi\) |
−0.971820 | + | 0.235725i | \(0.924253\pi\) | |||||||
\(798\) | 0.811860 | − | 0.647437i | 0.0287395 | − | 0.0229190i | ||||
\(799\) | 1.54600 | + | 7.87700i | 0.0546935 | + | 0.278668i | ||||
\(800\) | −0.923420 | − | 0.210765i | −0.0326478 | − | 0.00745165i | ||||
\(801\) | −2.53693 | − | 14.9313i | −0.0896381 | − | 0.527572i | ||||
\(802\) | 4.46933 | + | 1.42450i | 0.157817 | + | 0.0503009i | ||||
\(803\) | 3.59743 | + | 10.2809i | 0.126951 | + | 0.362804i | ||||
\(804\) | 0.0782431 | + | 2.78869i | 0.00275942 | + | 0.0983495i | ||||
\(805\) | 69.6932 | − | 41.1110i | 2.45636 | − | 1.44897i | ||||
\(806\) | −15.1565 | + | 29.3382i | −0.533865 | + | 1.03340i | ||||
\(807\) | −7.85643 | − | 5.57443i | −0.276559 | − | 0.196229i | ||||
\(808\) | 1.11274 | − | 0.614988i | 0.0391459 | − | 0.0216352i | ||||
\(809\) | −2.04080 | − | 4.56074i | −0.0717507 | − | 0.160347i | 0.873380 | − | 0.487039i | \(-0.161923\pi\) |
−0.945131 | + | 0.326692i | \(0.894066\pi\) | |||||||
\(810\) | 2.22182 | + | 1.48457i | 0.0780667 | + | 0.0521625i | ||||
\(811\) | 4.43029 | − | 22.2726i | 0.155569 | − | 0.782097i | −0.821672 | − | 0.569961i | \(-0.806958\pi\) |
0.977240 | − | 0.212135i | \(-0.0680418\pi\) | |||||||
\(812\) | −0.0212497 | + | 0.0338188i | −0.000745719 | + | 0.00118681i | ||||
\(813\) | 0.971330 | − | 3.04751i | 0.0340660 | − | 0.106881i | ||||
\(814\) | 7.48262 | − | 8.37305i | 0.262266 | − | 0.293475i | ||||
\(815\) | 16.9350 | − | 35.1659i | 0.593207 | − | 1.23181i | ||||
\(816\) | 6.28951 | − | 12.9757i | 0.220177 | − | 0.454240i | ||||
\(817\) | −0.449318 | + | 1.05794i | −0.0157197 | + | 0.0370125i | ||||
\(818\) | 3.43366 | + | 8.28959i | 0.120055 | + | 0.289839i | ||||
\(819\) | 25.4171 | − | 3.58830i | 0.888145 | − | 0.125385i | ||||
\(820\) | 4.20106 | + | 1.47001i | 0.146707 | + | 0.0513351i | ||||
\(821\) | −2.70296 | + | 1.39638i | −0.0943341 | + | 0.0487342i | −0.505502 | − | 0.862826i | \(-0.668693\pi\) |
0.411168 | + | 0.911560i | \(0.365121\pi\) | |||||||
\(822\) | −0.682199 | + | 1.78717i | −0.0237944 | + | 0.0623347i | ||||
\(823\) | 10.1194 | + | 50.8736i | 0.352740 | + | 1.77334i | 0.595600 | + | 0.803281i | \(0.296914\pi\) |
−0.242860 | + | 0.970061i | \(0.578086\pi\) | |||||||
\(824\) | 16.8656 | − | 40.7171i | 0.587540 | − | 1.41845i | ||||
\(825\) | 0.103174 | − | 0.607240i | 0.00359207 | − | 0.0211414i | ||||
\(826\) | 22.3542 | − | 43.2708i | 0.777802 | − | 1.50558i | ||||
\(827\) | −12.0268 | + | 11.3704i | −0.418213 | + | 0.395386i | −0.867045 | − | 0.498231i | \(-0.833983\pi\) |
0.448831 | + | 0.893617i | \(0.351840\pi\) | |||||||
\(828\) | −3.07598 | + | 2.59743i | −0.106898 | + | 0.0902669i | ||||
\(829\) | −6.57725 | + | 2.30148i | −0.228437 | + | 0.0799337i | −0.442071 | − | 0.896980i | \(-0.645756\pi\) |
0.213633 | + | 0.976914i | \(0.431470\pi\) | |||||||
\(830\) | −15.7570 | − | 14.8969i | −0.546932 | − | 0.517079i | ||||
\(831\) | −20.8010 | − | 1.16816i | −0.721578 | − | 0.0405229i | ||||
\(832\) | 19.6757 | − | 15.6908i | 0.682130 | − | 0.543981i | ||||
\(833\) | 40.2053 | − | 33.7754i | 1.39303 | − | 1.17025i | ||||
\(834\) | −3.16968 | + | 13.8873i | −0.109757 | + | 0.480876i | ||||
\(835\) | −9.22035 | + | 10.3176i | −0.319084 | + | 0.357055i | ||||
\(836\) | 0.0318963 | + | 0.0101663i | 0.00110316 | + | 0.000351607i | ||||
\(837\) | −42.6362 | + | 4.80395i | −1.47372 | + | 0.166049i | ||||
\(838\) | −12.9619 | − | 50.2492i | −0.447762 | − | 1.73583i | ||||
\(839\) | 1.71270 | + | 0.241793i | 0.0591289 | + | 0.00834761i | 0.169292 | − | 0.985566i | \(-0.445852\pi\) |
−0.110164 | + | 0.993913i | \(0.535137\pi\) | |||||||
\(840\) | −24.2224 | − | 12.5136i | −0.835751 | − | 0.431759i | ||||
\(841\) | 8.02780 | + | 27.8651i | 0.276821 | + | 0.960866i | ||||
\(842\) | −0.630609 | − | 11.2290i | −0.0217322 | − | 0.386978i | ||||
\(843\) | 1.01447 | + | 0.0284634i | 0.0349404 | + | 0.000980332i | ||||
\(844\) | 4.04898 | + | 4.28274i | 0.139372 | + | 0.147418i | ||||
\(845\) | −8.47607 | + | 4.37884i | −0.291586 | + | 0.150637i | ||||
\(846\) | 4.88182 | − | 1.70822i | 0.167840 | − | 0.0587299i | ||||
\(847\) | −31.4424 | + | 33.2577i | −1.08037 | + | 1.14275i | ||||
\(848\) | −3.76226 | − | 0.211284i | −0.129196 | − | 0.00725552i | ||||
\(849\) | −9.51309 | + | 11.9290i | −0.326488 | + | 0.409403i | ||||
\(850\) | −3.85112 | + | 1.21667i | −0.132092 | + | 0.0417315i | ||||
\(851\) | −69.6630 | − | 55.5544i | −2.38802 | − | 1.90438i | ||||
\(852\) | 0.247966 | − | 0.175941i | 0.00849517 | − | 0.00602765i | ||||
\(853\) | −21.8921 | − | 32.7639i | −0.749572 | − | 1.12181i | −0.988565 | − | 0.150793i | \(-0.951817\pi\) |
0.238993 | − | 0.971021i | \(-0.423183\pi\) | |||||||
\(854\) | −16.4427 | − | 16.4427i | −0.562657 | − | 0.562657i | ||||
\(855\) | −0.722178 | + | 0.0202624i | −0.0246980 | + | 0.000692958i | ||||
\(856\) | 4.10494 | + | 48.6662i | 0.140304 | + | 1.66338i | ||||
\(857\) | 24.9648 | + | 33.1724i | 0.852781 | + | 1.13315i | 0.989784 | + | 0.142577i | \(0.0455389\pi\) |
−0.137003 | + | 0.990571i | \(0.543747\pi\) | |||||||
\(858\) | 2.14851 | + | 2.40419i | 0.0733490 | + | 0.0820776i | ||||
\(859\) | −2.37236 | − | 0.982665i | −0.0809440 | − | 0.0335281i | 0.341844 | − | 0.939757i | \(-0.388949\pi\) |
−0.422788 | + | 0.906229i | \(0.638949\pi\) | |||||||
\(860\) | 3.09575 | − | 0.0592054i | 0.105564 | − | 0.00201889i | ||||
\(861\) | −34.8865 | − | 23.3104i | −1.18893 | − | 0.794416i | ||||
\(862\) | −20.0565 | + | 26.6504i | −0.683128 | + | 0.907718i | ||||
\(863\) | −0.476178 | + | 1.36084i | −0.0162093 | + | 0.0463235i | −0.951704 | − | 0.307018i | \(-0.900669\pi\) |
0.935494 | + | 0.353341i | \(0.114955\pi\) | |||||||
\(864\) | 6.13804 | + | 1.95637i | 0.208820 | + | 0.0665570i | ||||
\(865\) | 21.1782 | − | 15.0268i | 0.720082 | − | 0.510925i | ||||
\(866\) | − | 42.6201i | − | 1.44829i | ||||||
\(867\) | 1.34525 | + | 16.9804i | 0.0456871 | + | 0.576685i | ||||
\(868\) | −8.48851 | + | 1.93745i | −0.288119 | + | 0.0657613i | ||||
\(869\) | 9.39846 | + | 2.70765i | 0.318821 | + | 0.0918508i | ||||
\(870\) | 0.101151 | − | 0.0386114i | 0.00342934 | − | 0.00130905i | ||||
\(871\) | 3.94648 | + | 35.0260i | 0.133722 | + | 1.18681i | ||||
\(872\) | 19.9623 | + | 15.0232i | 0.676010 | + | 0.508750i | ||||
\(873\) | −16.9250 | − | 6.46061i | −0.572824 | − | 0.218658i | ||||
\(874\) | −0.513967 | + | 1.99249i | −0.0173852 | + | 0.0673969i | ||||
\(875\) | 14.5667 | + | 50.5623i | 0.492446 | + | 1.70932i | ||||
\(876\) | −2.43678 | − | 1.72899i | −0.0823311 | − | 0.0584170i | ||||
\(877\) | −1.19488 | + | 42.5872i | −0.0403483 | + | 1.43807i | 0.674235 | + | 0.738516i | \(0.264473\pi\) |
−0.714584 | + | 0.699550i | \(0.753384\pi\) | |||||||
\(878\) | −6.02335 | + | 42.6654i | −0.203278 | + | 1.43989i | ||||
\(879\) | 13.5352 | − | 6.99246i | 0.456532 | − | 0.235850i | ||||
\(880\) | 0.674021 | + | 5.98210i | 0.0227212 | + | 0.201657i | ||||
\(881\) | 14.6239 | − | 24.7910i | 0.492690 | − | 0.835231i | −0.506952 | − | 0.861974i | \(-0.669228\pi\) |
0.999642 | + | 0.0267433i | \(0.00851369\pi\) | |||||||
\(882\) | −25.2269 | − | 22.5441i | −0.849434 | − | 0.759100i | ||||
\(883\) | −12.4992 | − | 9.96775i | −0.420630 | − | 0.335441i | 0.390192 | − | 0.920733i | \(-0.372409\pi\) |
−0.810823 | + | 0.585292i | \(0.800980\pi\) | |||||||
\(884\) | −0.979800 | + | 2.54732i | −0.0329542 | + | 0.0856756i | ||||
\(885\) | 15.3556 | − | 7.39487i | 0.516173 | − | 0.248576i | ||||
\(886\) | 3.33085 | + | 19.6040i | 0.111902 | + | 0.658608i | ||||
\(887\) | 0.458422 | + | 1.20094i | 0.0153923 | + | 0.0403236i | 0.941728 | − | 0.336377i | \(-0.109202\pi\) |
−0.926335 | + | 0.376700i | \(0.877059\pi\) | |||||||
\(888\) | −3.36144 | + | 29.8336i | −0.112802 | + | 1.00115i | ||||
\(889\) | 37.8298 | + | 28.4698i | 1.26877 | + | 0.954848i | ||||
\(890\) | −7.43662 | + | 19.4819i | −0.249276 | + | 0.653034i | ||||
\(891\) | 0.202845 | − | 0.786367i | 0.00679558 | − | 0.0263443i | ||||
\(892\) | −1.10562 | − | 2.00048i | −0.0370190 | − | 0.0669809i | ||||
\(893\) | −0.197475 | + | 0.278315i | −0.00660825 | + | 0.00931346i | ||||
\(894\) | −6.10418 | − | 3.15349i | −0.204154 | − | 0.105469i | ||||
\(895\) | −9.05291 | + | 23.7161i | −0.302605 | + | 0.792742i | ||||
\(896\) | −39.1987 | − | 7.79711i | −1.30954 | − | 0.260483i | ||||
\(897\) | 18.0908 | − | 18.0908i | 0.604035 | − | 0.604035i | ||||
\(898\) | −23.5041 | − | 22.2212i | −0.784343 | − | 0.741531i | ||||
\(899\) | 0.163011 | − | 0.294947i | 0.00543674 | − | 0.00983703i | ||||
\(900\) | −0.145752 | − | 0.302658i | −0.00485842 | − | 0.0100886i | ||||
\(901\) | 3.95990 | − | 2.03298i | 0.131923 | − | 0.0677284i | ||||
\(902\) | 10.4783i | 0.348889i | ||||||||
\(903\) | −28.3978 | − | 6.74889i | −0.945020 | − | 0.224589i | ||||
\(904\) | 10.4154 | + | 15.5878i | 0.346411 | + | 0.518441i | ||||
\(905\) | −1.20502 | − | 3.44376i | −0.0400563 | − | 0.114474i | ||||
\(906\) | −29.7334 | + | 7.66981i | −0.987827 | + | 0.254813i | ||||
\(907\) | −27.7085 | + | 2.33719i | −0.920046 | + | 0.0776050i | −0.534581 | − | 0.845117i | \(-0.679531\pi\) |
−0.385465 | + | 0.922722i | \(0.625959\pi\) | |||||||
\(908\) | 0.160611 | + | 0.358931i | 0.00533007 | + | 0.0119115i | ||||
\(909\) | 0.790429 | + | 0.327407i | 0.0262169 | + | 0.0108594i | ||||
\(910\) | −32.6525 | − | 13.5251i | −1.08242 | − | 0.448353i | ||||
\(911\) | 30.3911 | − | 13.5991i | 1.00690 | − | 0.450560i | 0.162752 | − | 0.986667i | \(-0.447963\pi\) |
0.844150 | + | 0.536107i | \(0.180106\pi\) | |||||||
\(912\) | 0.584060 | − | 0.186157i | 0.0193402 | − | 0.00616427i | ||||
\(913\) | −2.69169 | + | 6.01535i | −0.0890821 | + | 0.199079i | ||||
\(914\) | 8.69324 | − | 0.979492i | 0.287547 | − | 0.0323987i | ||||
\(915\) | −1.13752 | − | 8.05742i | −0.0376052 | − | 0.266370i | ||||
\(916\) | 0.560166 | + | 0.789481i | 0.0185084 | + | 0.0260852i | ||||
\(917\) | −16.1622 | + | 33.5611i | −0.533722 | + | 1.10828i | ||||
\(918\) | 26.7967 | − | 6.04446i | 0.884424 | − | 0.199497i | ||||
\(919\) | −0.436710 | + | 1.91335i | −0.0144057 | + | 0.0631156i | −0.981620 | − | 0.190847i | \(-0.938877\pi\) |
0.967214 | + | 0.253962i | \(0.0817339\pi\) | |||||||
\(920\) | 53.2625 | − | 9.04966i | 1.75601 | − | 0.298359i | ||||
\(921\) | −15.7218 | + | 26.6524i | −0.518053 | + | 0.878226i | ||||
\(922\) | −5.00600 | + | 44.4295i | −0.164864 | + | 1.46321i | ||||
\(923\) | 2.93501 | − | 2.47839i | 0.0966070 | − | 0.0815773i | ||||
\(924\) | −0.118842 | + | 0.841799i | −0.00390963 | + | 0.0276932i | ||||
\(925\) | 5.94040 | − | 4.47061i | 0.195319 | − | 0.146993i | ||||
\(926\) | 7.94786 | − | 4.39263i | 0.261183 | − | 0.144351i | ||||
\(927\) | 28.4985 | − | 8.21028i | 0.936013 | − | 0.269661i | ||||
\(928\) | −0.0404295 | + | 0.0304263i | −0.00132716 | + | 0.000998793i | ||||
\(929\) | −35.0752 | − | 37.1002i | −1.15078 | − | 1.21722i | −0.972416 | − | 0.233255i | \(-0.925062\pi\) |
−0.178364 | − | 0.983965i | \(-0.557080\pi\) | |||||||
\(930\) | 21.5437 | + | 9.64016i | 0.706444 | + | 0.316113i | ||||
\(931\) | 2.21825 | + | 0.249937i | 0.0727003 | + | 0.00819135i | ||||
\(932\) | −0.336105 | − | 2.38074i | −0.0110095 | − | 0.0779839i | ||||
\(933\) | −8.99280 | + | 6.38073i | −0.294411 | + | 0.208896i | ||||
\(934\) | −3.26013 | + | 6.76974i | −0.106675 | + | 0.221513i | ||||
\(935\) | −4.26163 | − | 5.69282i | −0.139370 | − | 0.186175i | ||||
\(936\) | 16.7092 | + | 3.81377i | 0.546157 | + | 0.124657i | ||||
\(937\) | 2.12230 | − | 7.36668i | 0.0693327 | − | 0.240659i | −0.918687 | − | 0.394986i | \(-0.870749\pi\) |
0.988020 | + | 0.154327i | \(0.0493209\pi\) | |||||||
\(938\) | 49.4584 | − | 52.3138i | 1.61487 | − | 1.70811i | ||||
\(939\) | 4.81802 | − | 4.81802i | 0.157230 | − | 0.157230i | ||||
\(940\) | 0.901630 | + | 0.179345i | 0.0294079 | + | 0.00584960i | ||||
\(941\) | −32.1927 | − | 12.2886i | −1.04945 | − | 0.400596i | −0.229667 | − | 0.973269i | \(-0.573764\pi\) |
−0.819784 | + | 0.572673i | \(0.805906\pi\) | |||||||
\(942\) | −5.64989 | − | 4.77090i | −0.184083 | − | 0.155444i | ||||
\(943\) | 83.0124 | − | 4.66187i | 2.70325 | − | 0.151812i | ||||
\(944\) | 21.4385 | − | 19.1586i | 0.697762 | − | 0.623558i | ||||
\(945\) | −8.95885 | − | 45.0392i | −0.291431 | − | 1.46512i | ||||
\(946\) | 2.53868 | + | 6.83311i | 0.0825396 | + | 0.222164i | ||||
\(947\) | 23.5763 | + | 4.68962i | 0.766127 | + | 0.152392i | 0.562659 | − | 0.826689i | \(-0.309779\pi\) |
0.203468 | + | 0.979082i | \(0.434779\pi\) | |||||||
\(948\) | −2.53243 | + | 0.886135i | −0.0822495 | + | 0.0287803i | ||||
\(949\) | −32.5147 | − | 19.1799i | −1.05547 | − | 0.622606i | ||||
\(950\) | −0.150272 | − | 0.0830522i | −0.00487546 | − | 0.00269457i | ||||
\(951\) | −5.75209 | − | 25.2015i | −0.186524 | − | 0.817216i | ||||
\(952\) | 51.3271 | − | 17.8136i | 1.66352 | − | 0.577342i | ||||
\(953\) | − | 33.4358i | − | 1.08309i | −0.840672 | − | 0.541545i | \(-0.817840\pi\) | ||
0.840672 | − | 0.541545i | \(-0.182160\pi\) | |||||||
\(954\) | −1.65963 | − | 2.33903i | −0.0537325 | − | 0.0757289i | ||||
\(955\) | 2.72423 | + | 0.229786i | 0.0881541 | + | 0.00743571i | ||||
\(956\) | 2.93950 | + | 4.67819i | 0.0950702 | + | 0.151303i | ||||
\(957\) | −0.0212293 | − | 0.0251405i | −0.000686245 | − | 0.000812678i | ||||
\(958\) | 19.7529 | + | 33.4859i | 0.638186 | + | 1.08188i | ||||
\(959\) | −5.81683 | + | 2.60286i | −0.187835 | + | 0.0840508i | ||||
\(960\) | −11.9857 | − | 13.4120i | −0.386838 | − | 0.432872i | ||||
\(961\) | 40.8034 | − | 11.7553i | 1.31624 | − | 0.379202i | ||||
\(962\) | −1.09153 | + | 38.9036i | −0.0351923 | + | 1.25430i | ||||
\(963\) | −23.8821 | + | 22.5785i | −0.769590 | + | 0.727583i | ||||
\(964\) | −1.33573 | − | 5.17818i | −0.0430208 | − | 0.166778i | ||||
\(965\) | −18.5887 | − | 2.09444i | −0.598391 | − | 0.0674225i | ||||
\(966\) | −52.0702 | − | 4.39207i | −1.67533 | − | 0.141312i | ||||
\(967\) | 0.0844301 | − | 0.0944773i | 0.00271509 | − | 0.00303819i | −0.744283 | − | 0.667864i | \(-0.767209\pi\) |
0.746998 | + | 0.664826i | \(0.231494\pi\) | |||||||
\(968\) | −27.5323 | + | 13.2589i | −0.884921 | + | 0.426156i | ||||
\(969\) | −0.483897 | + | 0.538715i | −0.0155450 | + | 0.0173060i | ||||
\(970\) | 15.5520 | + | 19.5015i | 0.499343 | + | 0.626157i | ||||
\(971\) | −18.5222 | − | 16.5524i | −0.594405 | − | 0.531193i | 0.313925 | − | 0.949448i | \(-0.398356\pi\) |
−0.908330 | + | 0.418255i | \(0.862642\pi\) | |||||||
\(972\) | 1.30410 | + | 3.41638i | 0.0418291 | + | 0.109581i | ||||
\(973\) | −40.1792 | + | 25.2462i | −1.28809 | + | 0.809358i | ||||
\(974\) | −9.28663 | − | 17.9760i | −0.297563 | − | 0.575989i | ||||
\(975\) | 1.08462 | + | 1.83869i | 0.0347355 | + | 0.0588852i | ||||
\(976\) | −5.60686 | − | 12.5301i | −0.179471 | − | 0.401079i | ||||
\(977\) | 3.23823 | + | 3.62358i | 0.103600 | + | 0.115929i | 0.795186 | − | 0.606366i | \(-0.207373\pi\) |
−0.691586 | + | 0.722294i | \(0.743088\pi\) | |||||||
\(978\) | −22.0612 | + | 12.1928i | −0.705440 | + | 0.389883i | ||||
\(979\) | 6.33503 | + | 0.177744i | 0.202469 | + | 0.00568072i | ||||
\(980\) | −1.82615 | − | 5.72947i | −0.0583341 | − | 0.183021i | ||||
\(981\) | 0.471528 | + | 16.8059i | 0.0150547 | + | 0.536572i | ||||
\(982\) | 30.5735 | + | 30.5735i | 0.975639 | + | 0.975639i | ||||
\(983\) | 22.9529 | + | 34.3515i | 0.732085 | + | 1.09564i | 0.991529 | + | 0.129884i | \(0.0414606\pi\) |
−0.259444 | + | 0.965758i | \(0.583539\pi\) | |||||||
\(984\) | −16.2112 | − | 22.8475i | −0.516793 | − | 0.728352i | ||||
\(985\) | 7.78173 | + | 9.75798i | 0.247947 | + | 0.310915i | ||||
\(986\) | −0.0830739 | + | 0.199123i | −0.00264561 | + | 0.00634137i | ||||
\(987\) | −7.80791 | − | 3.76009i | −0.248528 | − | 0.119685i | ||||
\(988\) | −0.107194 | + | 0.0444014i | −0.00341031 | + | 0.00141260i | ||||
\(989\) | 53.0046 | − | 23.1523i | 1.68545 | − | 0.736201i | ||||
\(990\) | −3.23985 | + | 3.23985i | −0.102969 | + | 0.102969i | ||||
\(991\) | −11.7391 | − | 8.83454i | −0.372903 | − | 0.280638i | 0.398264 | − | 0.917271i | \(-0.369613\pi\) |
−0.771168 | + | 0.636632i | \(0.780327\pi\) | |||||||
\(992\) | −10.9220 | − | 1.54194i | −0.346775 | − | 0.0489565i | ||||
\(993\) | 4.22138 | − | 4.99912i | 0.133961 | − | 0.158642i | ||||
\(994\) | −7.73517 | − | 1.31426i | −0.245345 | − | 0.0416857i | ||||
\(995\) | 2.57759 | − | 6.22285i | 0.0817151 | − | 0.197278i | ||||
\(996\) | −0.352677 | − | 1.77303i | −0.0111750 | − | 0.0561805i | ||||
\(997\) | 51.1152 | + | 19.5117i | 1.61883 | + | 0.617941i | 0.987507 | − | 0.157576i | \(-0.0503679\pi\) |
0.631327 | + | 0.775517i | \(0.282511\pi\) | |||||||
\(998\) | −35.1638 | + | 29.6932i | −1.11309 | + | 0.939921i | ||||
\(999\) | −42.8171 | + | 26.9038i | −1.35467 | + | 0.851198i |
(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.22.20 | ✓ | 3072 | |
17.7 | odd | 16 | inner | 731.2.bj.a.194.45 | yes | 3072 | |
43.2 | odd | 14 | inner | 731.2.bj.a.260.45 | yes | 3072 | |
731.432 | even | 112 | inner | 731.2.bj.a.432.20 | yes | 3072 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.bj.a.22.20 | ✓ | 3072 | 1.1 | even | 1 | trivial | |
731.2.bj.a.194.45 | yes | 3072 | 17.7 | odd | 16 | inner | |
731.2.bj.a.260.45 | yes | 3072 | 43.2 | odd | 14 | inner | |
731.2.bj.a.432.20 | yes | 3072 | 731.432 | even | 112 | inner |