Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(92,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.92");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.w (of order \(7\), degree \(6\), 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: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(174\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 547.7 | ||
Character | \(\chi\) | \(=\) | 637.547 |
Dual form | 637.2.w.b.92.7 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{6}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.12298 | − | 1.40817i | −0.794066 | − | 0.995728i | −0.999853 | − | 0.0171310i | \(-0.994547\pi\) |
0.205787 | − | 0.978597i | \(-0.434025\pi\) | |||||||
\(3\) | −2.74049 | + | 1.31975i | −1.58222 | + | 0.761958i | −0.998741 | − | 0.0501676i | \(-0.984024\pi\) |
−0.583482 | + | 0.812126i | \(0.698310\pi\) | |||||||
\(4\) | −0.276823 | + | 1.21284i | −0.138411 | + | 0.606420i | ||||
\(5\) | −2.53396 | + | 1.22029i | −1.13322 | + | 0.545731i | −0.903953 | − | 0.427632i | \(-0.859348\pi\) |
−0.229270 | + | 0.973363i | \(0.573634\pi\) | |||||||
\(6\) | 4.93595 | + | 2.37703i | 2.01509 | + | 0.970418i | ||||
\(7\) | −1.05285 | + | 2.42724i | −0.397939 | + | 0.917412i | ||||
\(8\) | −1.22675 | + | 0.590772i | −0.433722 | + | 0.208869i | ||||
\(9\) | 3.89808 | − | 4.88803i | 1.29936 | − | 1.62934i | ||||
\(10\) | 4.56397 | + | 2.19789i | 1.44325 | + | 0.695035i | ||||
\(11\) | 3.17207 | + | 3.97765i | 0.956415 | + | 1.19931i | 0.979881 | + | 0.199582i | \(0.0639583\pi\) |
−0.0234663 | + | 0.999725i | \(0.507470\pi\) | |||||||
\(12\) | −0.842016 | − | 3.68912i | −0.243069 | − | 1.06496i | ||||
\(13\) | 0.623490 | + | 0.781831i | 0.172925 | + | 0.216841i | ||||
\(14\) | 4.60030 | − | 1.24316i | 1.22948 | − | 0.332248i | ||||
\(15\) | 5.33382 | − | 6.68840i | 1.37719 | − | 1.72694i | ||||
\(16\) | 4.45119 | + | 2.14358i | 1.11280 | + | 0.535895i | ||||
\(17\) | 1.01853 | + | 4.46247i | 0.247030 | + | 1.08231i | 0.934463 | + | 0.356061i | \(0.115880\pi\) |
−0.687433 | + | 0.726248i | \(0.741263\pi\) | |||||||
\(18\) | −11.2607 | −2.65416 | ||||||||
\(19\) | −6.08955 | −1.39704 | −0.698519 | − | 0.715591i | \(-0.746157\pi\) | ||||
−0.698519 | + | 0.715591i | \(0.746157\pi\) | |||||||
\(20\) | −0.778561 | − | 3.41110i | −0.174092 | − | 0.762745i | ||||
\(21\) | −0.318042 | − | 8.04133i | −0.0694024 | − | 1.75476i | ||||
\(22\) | 2.03904 | − | 8.93364i | 0.434726 | − | 1.90466i | ||||
\(23\) | −1.71384 | + | 7.50884i | −0.357361 | + | 1.56570i | 0.402378 | + | 0.915474i | \(0.368184\pi\) |
−0.759739 | + | 0.650228i | \(0.774673\pi\) | |||||||
\(24\) | 2.58223 | − | 3.23801i | 0.527095 | − | 0.660956i | ||||
\(25\) | 1.81441 | − | 2.27520i | 0.362882 | − | 0.455039i | ||||
\(26\) | 0.400787 | − | 1.75596i | 0.0786008 | − | 0.344372i | ||||
\(27\) | −2.20112 | + | 9.64374i | −0.423606 | + | 1.85594i | ||||
\(28\) | −2.65241 | − | 1.94885i | −0.501258 | − | 0.368298i | ||||
\(29\) | −0.224524 | − | 0.983705i | −0.0416931 | − | 0.182669i | 0.949794 | − | 0.312877i | \(-0.101293\pi\) |
−0.991487 | + | 0.130208i | \(0.958436\pi\) | |||||||
\(30\) | −15.4082 | −2.81314 | ||||||||
\(31\) | −3.95981 | −0.711203 | −0.355601 | − | 0.934638i | \(-0.615724\pi\) | ||||
−0.355601 | + | 0.934638i | \(0.615724\pi\) | |||||||
\(32\) | −1.37410 | − | 6.02033i | −0.242909 | − | 1.06425i | ||||
\(33\) | −13.9425 | − | 6.71437i | −2.42708 | − | 1.16882i | ||||
\(34\) | 5.14014 | − | 6.44553i | 0.881526 | − | 1.10540i | ||||
\(35\) | −0.294074 | − | 7.43533i | −0.0497075 | − | 1.25680i | ||||
\(36\) | 4.84933 | + | 6.08087i | 0.808221 | + | 1.01348i | ||||
\(37\) | −1.78303 | − | 7.81196i | −0.293128 | − | 1.28428i | −0.880145 | − | 0.474704i | \(-0.842555\pi\) |
0.587017 | − | 0.809574i | \(-0.300302\pi\) | |||||||
\(38\) | 6.83844 | + | 8.57513i | 1.10934 | + | 1.39107i | ||||
\(39\) | −2.74049 | − | 1.31975i | −0.438830 | − | 0.211329i | ||||
\(40\) | 2.38763 | − | 2.99399i | 0.377517 | − | 0.473391i | ||||
\(41\) | −1.56938 | + | 0.755772i | −0.245095 | + | 0.118032i | −0.552399 | − | 0.833580i | \(-0.686288\pi\) |
0.307304 | + | 0.951611i | \(0.400573\pi\) | |||||||
\(42\) | −10.9664 | + | 9.47811i | −1.69216 | + | 1.46250i | ||||
\(43\) | 1.64536 | + | 0.792362i | 0.250915 | + | 0.120834i | 0.555114 | − | 0.831774i | \(-0.312675\pi\) |
−0.304199 | + | 0.952608i | \(0.598389\pi\) | |||||||
\(44\) | −5.70236 | + | 2.74611i | −0.859662 | + | 0.413992i | ||||
\(45\) | −3.91275 | + | 17.1429i | −0.583279 | + | 2.55551i | ||||
\(46\) | 12.4984 | − | 6.01889i | 1.84278 | − | 0.887437i | ||||
\(47\) | 5.86258 | + | 7.35144i | 0.855145 | + | 1.07232i | 0.996602 | + | 0.0823733i | \(0.0262500\pi\) |
−0.141457 | + | 0.989944i | \(0.545179\pi\) | |||||||
\(48\) | −15.0274 | −2.16902 | ||||||||
\(49\) | −4.78303 | − | 5.11103i | −0.683290 | − | 0.730147i | ||||
\(50\) | −5.24141 | −0.741247 | ||||||||
\(51\) | −8.68062 | − | 10.8852i | −1.21553 | − | 1.52423i | ||||
\(52\) | −1.12083 | + | 0.539765i | −0.155432 | + | 0.0748519i | ||||
\(53\) | −1.60188 | + | 7.01827i | −0.220034 | + | 0.964034i | 0.737417 | + | 0.675438i | \(0.236045\pi\) |
−0.957451 | + | 0.288596i | \(0.906812\pi\) | |||||||
\(54\) | 16.0519 | − | 7.73017i | 2.18438 | − | 1.05194i | ||||
\(55\) | −12.8918 | − | 6.20837i | −1.73833 | − | 0.837136i | ||||
\(56\) | −0.142368 | − | 3.59962i | −0.0190247 | − | 0.481019i | ||||
\(57\) | 16.6884 | − | 8.03669i | 2.21043 | − | 1.06449i | ||||
\(58\) | −1.13309 | + | 1.42085i | −0.148782 | + | 0.186567i | ||||
\(59\) | −4.78645 | − | 2.30503i | −0.623142 | − | 0.300090i | 0.0955426 | − | 0.995425i | \(-0.469541\pi\) |
−0.718685 | + | 0.695336i | \(0.755256\pi\) | |||||||
\(60\) | 6.63544 | + | 8.32058i | 0.856631 | + | 1.07418i | ||||
\(61\) | 0.909421 | + | 3.98443i | 0.116439 | + | 0.510154i | 0.999187 | + | 0.0403074i | \(0.0128337\pi\) |
−0.882748 | + | 0.469847i | \(0.844309\pi\) | |||||||
\(62\) | 4.44678 | + | 5.57609i | 0.564742 | + | 0.708164i | ||||
\(63\) | 7.76038 | + | 14.6079i | 0.977715 | + | 1.84043i | ||||
\(64\) | −0.773936 | + | 0.970485i | −0.0967420 | + | 0.121311i | ||||
\(65\) | −2.53396 | − | 1.22029i | −0.314299 | − | 0.151359i | ||||
\(66\) | 6.20219 | + | 27.1736i | 0.763437 | + | 3.34484i | ||||
\(67\) | −8.62043 | −1.05315 | −0.526577 | − | 0.850128i | \(-0.676525\pi\) | ||||
−0.526577 | + | 0.850128i | \(0.676525\pi\) | |||||||
\(68\) | −5.69422 | −0.690525 | ||||||||
\(69\) | −5.21303 | − | 22.8398i | −0.627574 | − | 2.74958i | ||||
\(70\) | −10.1400 | + | 8.76383i | −1.21196 | + | 1.04748i | ||||
\(71\) | 1.07385 | − | 4.70483i | 0.127442 | − | 0.558360i | −0.870379 | − | 0.492382i | \(-0.836126\pi\) |
0.997821 | − | 0.0659779i | \(-0.0210167\pi\) | |||||||
\(72\) | −1.89425 | + | 8.29927i | −0.223240 | + | 0.978079i | ||||
\(73\) | 0.202349 | − | 0.253737i | 0.0236831 | − | 0.0296977i | −0.769849 | − | 0.638226i | \(-0.779668\pi\) |
0.793532 | + | 0.608528i | \(0.208240\pi\) | |||||||
\(74\) | −8.99828 | + | 11.2835i | −1.04603 | + | 1.31168i | ||||
\(75\) | −1.96968 | + | 8.62972i | −0.227439 | + | 0.996474i | ||||
\(76\) | 1.68573 | − | 7.38565i | 0.193366 | − | 0.847192i | ||||
\(77\) | −12.9944 | + | 3.51153i | −1.48085 | + | 0.400176i | ||||
\(78\) | 1.21908 | + | 5.34113i | 0.138034 | + | 0.604764i | ||||
\(79\) | 12.6847 | 1.42714 | 0.713568 | − | 0.700586i | \(-0.247078\pi\) | ||||
0.713568 | + | 0.700586i | \(0.247078\pi\) | |||||||
\(80\) | −13.8949 | −1.55350 | ||||||||
\(81\) | −2.52156 | − | 11.0477i | −0.280173 | − | 1.22752i | ||||
\(82\) | 2.82663 | + | 1.36123i | 0.312149 | + | 0.150323i | ||||
\(83\) | −4.50824 | + | 5.65316i | −0.494844 | + | 0.620515i | −0.965058 | − | 0.262038i | \(-0.915605\pi\) |
0.470213 | + | 0.882553i | \(0.344177\pi\) | |||||||
\(84\) | 9.84090 | + | 1.84029i | 1.07373 | + | 0.200792i | ||||
\(85\) | −8.02644 | − | 10.0648i | −0.870589 | − | 1.09168i | ||||
\(86\) | −0.731920 | − | 3.20675i | −0.0789250 | − | 0.345793i | ||||
\(87\) | 1.91355 | + | 2.39952i | 0.205154 | + | 0.257255i | ||||
\(88\) | −6.24122 | − | 3.00561i | −0.665316 | − | 0.320400i | ||||
\(89\) | 6.12777 | − | 7.68398i | 0.649542 | − | 0.814500i | −0.342618 | − | 0.939475i | \(-0.611314\pi\) |
0.992160 | + | 0.124975i | \(0.0398850\pi\) | |||||||
\(90\) | 28.5341 | − | 13.7413i | 3.00776 | − | 1.44846i | ||||
\(91\) | −2.55413 | + | 0.690214i | −0.267746 | + | 0.0723540i | ||||
\(92\) | −8.63260 | − | 4.15724i | −0.900010 | − | 0.433422i | ||||
\(93\) | 10.8518 | − | 5.22596i | 1.12528 | − | 0.541907i | ||||
\(94\) | 3.76854 | − | 16.5110i | 0.388695 | − | 1.70298i | ||||
\(95\) | 15.4307 | − | 7.43103i | 1.58316 | − | 0.762408i | ||||
\(96\) | 11.7111 | + | 14.6852i | 1.19525 | + | 1.49880i | ||||
\(97\) | 4.58831 | 0.465873 | 0.232936 | − | 0.972492i | \(-0.425167\pi\) | ||||
0.232936 | + | 0.972492i | \(0.425167\pi\) | |||||||
\(98\) | −1.82597 | + | 12.4749i | −0.184450 | + | 1.26016i | ||||
\(99\) | 31.8079 | 3.19681 | ||||||||
\(100\) | 2.25718 | + | 2.83041i | 0.225718 | + | 0.283041i | ||||
\(101\) | −6.02431 | + | 2.90115i | −0.599441 | + | 0.288676i | −0.708892 | − | 0.705317i | \(-0.750805\pi\) |
0.109451 | + | 0.993992i | \(0.465091\pi\) | |||||||
\(102\) | −5.58001 | + | 24.4476i | −0.552503 | + | 2.42067i | ||||
\(103\) | 9.23015 | − | 4.44501i | 0.909474 | − | 0.437979i | 0.0801722 | − | 0.996781i | \(-0.474453\pi\) |
0.829301 | + | 0.558802i | \(0.188739\pi\) | |||||||
\(104\) | −1.22675 | − | 0.590772i | −0.120293 | − | 0.0579300i | ||||
\(105\) | 10.6187 | + | 19.9883i | 1.03628 | + | 1.95066i | ||||
\(106\) | 11.6818 | − | 5.62566i | 1.13464 | − | 0.546413i | ||||
\(107\) | 3.80884 | − | 4.77614i | 0.368215 | − | 0.461727i | −0.562862 | − | 0.826551i | \(-0.690300\pi\) |
0.931076 | + | 0.364824i | \(0.118871\pi\) | |||||||
\(108\) | −11.0870 | − | 5.33922i | −1.06685 | − | 0.513766i | ||||
\(109\) | 3.40615 | + | 4.27118i | 0.326250 | + | 0.409105i | 0.917723 | − | 0.397220i | \(-0.130025\pi\) |
−0.591473 | + | 0.806324i | \(0.701454\pi\) | |||||||
\(110\) | 5.73479 | + | 25.1257i | 0.546790 | + | 2.39565i | ||||
\(111\) | 15.1962 | + | 19.0555i | 1.44236 | + | 1.80866i | ||||
\(112\) | −9.88941 | + | 8.54727i | −0.934462 | + | 0.807641i | ||||
\(113\) | 3.57343 | − | 4.48095i | 0.336160 | − | 0.421532i | −0.584806 | − | 0.811173i | \(-0.698830\pi\) |
0.920967 | + | 0.389641i | \(0.127401\pi\) | |||||||
\(114\) | −30.0577 | − | 14.4750i | −2.81516 | − | 1.35571i | ||||
\(115\) | −4.82016 | − | 21.1185i | −0.449483 | − | 1.96931i | ||||
\(116\) | 1.25523 | 0.116545 | ||||||||
\(117\) | 6.25203 | 0.578000 | ||||||||
\(118\) | 2.12920 | + | 9.32864i | 0.196009 | + | 0.858771i | ||||
\(119\) | −11.9039 | − | 2.22608i | −1.09123 | − | 0.204064i | ||||
\(120\) | −2.59195 | + | 11.3561i | −0.236611 | + | 1.03666i | ||||
\(121\) | −3.31194 | + | 14.5106i | −0.301085 | + | 1.31914i | ||||
\(122\) | 4.58950 | − | 5.75506i | 0.415514 | − | 0.521038i | ||||
\(123\) | 3.30343 | − | 4.14237i | 0.297860 | − | 0.373505i | ||||
\(124\) | 1.09617 | − | 4.80262i | 0.0984386 | − | 0.431288i | ||||
\(125\) | 1.30795 | − | 5.73049i | 0.116986 | − | 0.512551i | ||||
\(126\) | 11.8557 | − | 27.3324i | 1.05619 | − | 2.43496i | ||||
\(127\) | −3.51267 | − | 15.3900i | −0.311699 | − | 1.36564i | −0.851723 | − | 0.523992i | \(-0.824442\pi\) |
0.540024 | − | 0.841649i | \(-0.318415\pi\) | |||||||
\(128\) | −10.1146 | −0.894012 | ||||||||
\(129\) | −5.55480 | −0.489073 | ||||||||
\(130\) | 1.12721 | + | 4.93862i | 0.0988627 | + | 0.433146i | ||||
\(131\) | 17.2757 | + | 8.31953i | 1.50938 | + | 0.726880i | 0.991686 | − | 0.128684i | \(-0.0410753\pi\) |
0.517697 | + | 0.855564i | \(0.326790\pi\) | |||||||
\(132\) | 12.0031 | − | 15.0514i | 1.04473 | − | 1.31005i | ||||
\(133\) | 6.41136 | − | 14.7808i | 0.555935 | − | 1.28166i | ||||
\(134\) | 9.68057 | + | 12.1390i | 0.836273 | + | 1.04865i | ||||
\(135\) | −6.19062 | − | 27.1229i | −0.532804 | − | 2.33437i | ||||
\(136\) | −3.88579 | − | 4.87262i | −0.333203 | − | 0.417824i | ||||
\(137\) | −7.61374 | − | 3.66659i | −0.650486 | − | 0.313258i | 0.0793833 | − | 0.996844i | \(-0.474705\pi\) |
−0.729869 | + | 0.683587i | \(0.760419\pi\) | |||||||
\(138\) | −26.3082 | + | 32.9894i | −2.23950 | + | 2.80825i | ||||
\(139\) | −10.2973 | + | 4.95890i | −0.873403 | + | 0.420609i | −0.816210 | − | 0.577755i | \(-0.803929\pi\) |
−0.0571921 | + | 0.998363i | \(0.518215\pi\) | |||||||
\(140\) | 9.09927 | + | 1.70161i | 0.769029 | + | 0.143812i | ||||
\(141\) | −25.7684 | − | 12.4094i | −2.17009 | − | 1.04506i | ||||
\(142\) | −7.83111 | + | 3.77127i | −0.657172 | + | 0.316478i | ||||
\(143\) | −1.13210 | + | 4.96005i | −0.0946708 | + | 0.414780i | ||||
\(144\) | 27.8290 | − | 13.4017i | 2.31908 | − | 1.11681i | ||||
\(145\) | 1.76934 | + | 2.21869i | 0.146936 | + | 0.184252i | ||||
\(146\) | −0.584540 | −0.0483768 | ||||||||
\(147\) | 19.8531 | + | 7.69432i | 1.63746 | + | 0.634617i | ||||
\(148\) | 9.96825 | 0.819385 | ||||||||
\(149\) | −4.63005 | − | 5.80590i | −0.379309 | − | 0.475638i | 0.555129 | − | 0.831764i | \(-0.312669\pi\) |
−0.934438 | + | 0.356126i | \(0.884097\pi\) | |||||||
\(150\) | 14.3640 | − | 6.91735i | 1.17282 | − | 0.564800i | ||||
\(151\) | −1.00745 | + | 4.41393i | −0.0819853 | + | 0.359201i | −0.999235 | − | 0.0391121i | \(-0.987547\pi\) |
0.917250 | + | 0.398313i | \(0.130404\pi\) | |||||||
\(152\) | 7.47036 | − | 3.59754i | 0.605926 | − | 0.291799i | ||||
\(153\) | 25.7830 | + | 12.4164i | 2.08443 | + | 1.00381i | ||||
\(154\) | 19.5373 | + | 14.3550i | 1.57436 | + | 1.15676i | ||||
\(155\) | 10.0340 | − | 4.83213i | 0.805951 | − | 0.388126i | ||||
\(156\) | 2.35928 | − | 2.95844i | 0.188893 | − | 0.236865i | ||||
\(157\) | −6.53778 | − | 3.14843i | −0.521771 | − | 0.251272i | 0.154410 | − | 0.988007i | \(-0.450652\pi\) |
−0.676182 | + | 0.736735i | \(0.736367\pi\) | |||||||
\(158\) | −14.2446 | − | 17.8622i | −1.13324 | − | 1.42104i | ||||
\(159\) | −4.87245 | − | 21.3476i | −0.386410 | − | 1.69297i | ||||
\(160\) | 10.8285 | + | 13.5785i | 0.856067 | + | 1.07347i | ||||
\(161\) | −16.4214 | − | 12.0656i | −1.29419 | − | 0.950901i | ||||
\(162\) | −12.7254 | + | 15.9571i | −0.999799 | + | 1.25371i | ||||
\(163\) | −0.741385 | − | 0.357032i | −0.0580698 | − | 0.0279649i | 0.404624 | − | 0.914483i | \(-0.367403\pi\) |
−0.462693 | + | 0.886518i | \(0.653117\pi\) | |||||||
\(164\) | −0.482191 | − | 2.11262i | −0.0376528 | − | 0.164968i | ||||
\(165\) | 43.5234 | 3.38829 | ||||||||
\(166\) | 13.0233 | 1.01080 | ||||||||
\(167\) | −0.0328428 | − | 0.143894i | −0.00254145 | − | 0.0111348i | 0.973641 | − | 0.228085i | \(-0.0732463\pi\) |
−0.976183 | + | 0.216950i | \(0.930389\pi\) | |||||||
\(168\) | 5.14075 | + | 9.67682i | 0.396618 | + | 0.746583i | ||||
\(169\) | −0.222521 | + | 0.974928i | −0.0171170 | + | 0.0749945i | ||||
\(170\) | −5.15949 | + | 22.6052i | −0.395715 | + | 1.73374i | ||||
\(171\) | −23.7375 | + | 29.7659i | −1.81525 | + | 2.27626i | ||||
\(172\) | −1.41648 | + | 1.77621i | −0.108006 | + | 0.135435i | ||||
\(173\) | 4.97135 | − | 21.7809i | 0.377965 | − | 1.65597i | −0.325726 | − | 0.945464i | \(-0.605609\pi\) |
0.703690 | − | 0.710507i | \(-0.251534\pi\) | |||||||
\(174\) | 1.23005 | − | 5.38922i | 0.0932502 | − | 0.408556i | ||||
\(175\) | 3.61216 | + | 6.79944i | 0.273054 | + | 0.513990i | ||||
\(176\) | 5.59307 | + | 24.5049i | 0.421594 | + | 1.84712i | ||||
\(177\) | 16.1593 | 1.21461 | ||||||||
\(178\) | −17.7017 | −1.32680 | ||||||||
\(179\) | 4.42315 | + | 19.3791i | 0.330602 | + | 1.44846i | 0.817968 | + | 0.575263i | \(0.195100\pi\) |
−0.487366 | + | 0.873198i | \(0.662042\pi\) | |||||||
\(180\) | −19.7085 | − | 9.49109i | −1.46898 | − | 0.707424i | ||||
\(181\) | 8.88106 | − | 11.1365i | 0.660124 | − | 0.827770i | −0.333233 | − | 0.942845i | \(-0.608139\pi\) |
0.993357 | + | 0.115075i | \(0.0367108\pi\) | |||||||
\(182\) | 3.84018 | + | 2.82157i | 0.284653 | + | 0.209148i | ||||
\(183\) | −7.75072 | − | 9.71909i | −0.572949 | − | 0.718456i | ||||
\(184\) | −2.33355 | − | 10.2240i | −0.172032 | − | 0.753721i | ||||
\(185\) | 14.0510 | + | 17.6194i | 1.03305 | + | 1.29540i | ||||
\(186\) | −19.5454 | − | 9.41258i | −1.43314 | − | 0.690164i | ||||
\(187\) | −14.5193 | + | 18.2066i | −1.06176 | + | 1.33140i | ||||
\(188\) | −10.5390 | + | 5.07532i | −0.768637 | + | 0.370156i | ||||
\(189\) | −21.0903 | − | 15.4960i | −1.53409 | − | 1.12717i | ||||
\(190\) | −27.7925 | − | 13.3842i | −2.01628 | − | 0.970990i | ||||
\(191\) | −13.1500 | + | 6.33269i | −0.951499 | + | 0.458218i | −0.844211 | − | 0.536011i | \(-0.819931\pi\) |
−0.107287 | + | 0.994228i | \(0.534216\pi\) | |||||||
\(192\) | 0.840166 | − | 3.68101i | 0.0606338 | − | 0.265654i | ||||
\(193\) | −6.27660 | + | 3.02265i | −0.451800 | + | 0.217575i | −0.645924 | − | 0.763402i | \(-0.723528\pi\) |
0.194124 | + | 0.980977i | \(0.437813\pi\) | |||||||
\(194\) | −5.15258 | − | 6.46113i | −0.369934 | − | 0.463882i | ||||
\(195\) | 8.55478 | 0.612621 | ||||||||
\(196\) | 7.52292 | − | 4.38620i | 0.537351 | − | 0.313300i | ||||
\(197\) | −17.8238 | −1.26989 | −0.634947 | − | 0.772556i | \(-0.718978\pi\) | ||||
−0.634947 | + | 0.772556i | \(0.718978\pi\) | |||||||
\(198\) | −35.7196 | − | 44.7909i | −2.53848 | − | 3.18315i | ||||
\(199\) | 20.6839 | − | 9.96086i | 1.46624 | − | 0.706106i | 0.480915 | − | 0.876767i | \(-0.340305\pi\) |
0.985330 | + | 0.170661i | \(0.0545902\pi\) | |||||||
\(200\) | −0.881704 | + | 3.86300i | −0.0623459 | + | 0.273155i | ||||
\(201\) | 23.6242 | − | 11.3768i | 1.66632 | − | 0.802459i | ||||
\(202\) | 10.8505 | + | 5.22532i | 0.763438 | + | 0.367653i | ||||
\(203\) | 2.62408 | + | 0.490715i | 0.184174 | + | 0.0344415i | ||||
\(204\) | 15.6049 | − | 7.51495i | 1.09257 | − | 0.526152i | ||||
\(205\) | 3.05448 | − | 3.83020i | 0.213334 | − | 0.267512i | ||||
\(206\) | −16.6246 | − | 8.00598i | −1.15829 | − | 0.557803i | ||||
\(207\) | 30.0228 | + | 37.6474i | 2.08673 | + | 2.61667i | ||||
\(208\) | 1.09935 | + | 4.81658i | 0.0762264 | + | 0.333970i | ||||
\(209\) | −19.3165 | − | 24.2221i | −1.33615 | − | 1.67548i | ||||
\(210\) | 16.2225 | − | 37.3994i | 1.11946 | − | 2.58081i | ||||
\(211\) | −8.16076 | + | 10.2333i | −0.561810 | + | 0.704487i | −0.978891 | − | 0.204382i | \(-0.934481\pi\) |
0.417082 | + | 0.908869i | \(0.363053\pi\) | |||||||
\(212\) | −8.06861 | − | 3.88564i | −0.554154 | − | 0.266867i | ||||
\(213\) | 3.26633 | + | 14.3107i | 0.223806 | + | 0.980556i | ||||
\(214\) | −11.0029 | −0.752141 | ||||||||
\(215\) | −5.13619 | −0.350285 | ||||||||
\(216\) | −2.99703 | − | 13.1308i | −0.203922 | − | 0.893440i | ||||
\(217\) | 4.16907 | − | 9.61142i | 0.283015 | − | 0.652466i | ||||
\(218\) | 2.18951 | − | 9.59289i | 0.148293 | − | 0.649712i | ||||
\(219\) | −0.219665 | + | 0.962415i | −0.0148436 | + | 0.0650340i | ||||
\(220\) | 11.0985 | − | 13.9171i | 0.748261 | − | 0.938290i | ||||
\(221\) | −2.85386 | + | 3.57862i | −0.191971 | + | 0.240724i | ||||
\(222\) | 9.76831 | − | 42.7978i | 0.655606 | − | 2.87240i | ||||
\(223\) | −2.93151 | + | 12.8438i | −0.196308 | + | 0.860083i | 0.776802 | + | 0.629745i | \(0.216840\pi\) |
−0.973111 | + | 0.230338i | \(0.926017\pi\) | |||||||
\(224\) | 16.0595 | + | 3.00321i | 1.07302 | + | 0.200660i | ||||
\(225\) | −4.04853 | − | 17.7378i | −0.269902 | − | 1.18252i | ||||
\(226\) | −10.3228 | −0.686665 | ||||||||
\(227\) | −9.59818 | −0.637053 | −0.318527 | − | 0.947914i | \(-0.603188\pi\) | ||||
−0.318527 | + | 0.947914i | \(0.603188\pi\) | |||||||
\(228\) | 5.12750 | + | 22.4651i | 0.339577 | + | 1.48778i | ||||
\(229\) | 14.3777 | + | 6.92392i | 0.950103 | + | 0.457545i | 0.843722 | − | 0.536780i | \(-0.180360\pi\) |
0.106380 | + | 0.994325i | \(0.466074\pi\) | |||||||
\(230\) | −24.3256 | + | 30.5033i | −1.60398 | + | 2.01133i | ||||
\(231\) | 30.9768 | − | 26.7727i | 2.03812 | − | 1.76152i | ||||
\(232\) | 0.856581 | + | 1.07412i | 0.0562373 | + | 0.0705193i | ||||
\(233\) | 2.64718 | + | 11.5981i | 0.173423 | + | 0.759815i | 0.984573 | + | 0.174976i | \(0.0559849\pi\) |
−0.811150 | + | 0.584838i | \(0.801158\pi\) | |||||||
\(234\) | −7.02090 | − | 8.80393i | −0.458971 | − | 0.575531i | ||||
\(235\) | −23.8265 | − | 11.4742i | −1.55427 | − | 0.748496i | ||||
\(236\) | 4.12063 | − | 5.16711i | 0.268230 | − | 0.336350i | ||||
\(237\) | −34.7622 | + | 16.7406i | −2.25805 | + | 1.08742i | ||||
\(238\) | 10.2331 | + | 19.2625i | 0.663313 | + | 1.24860i | ||||
\(239\) | 25.7395 | + | 12.3955i | 1.66495 | + | 0.801796i | 0.998413 | + | 0.0563216i | \(0.0179372\pi\) |
0.666534 | + | 0.745475i | \(0.267777\pi\) | |||||||
\(240\) | 38.0790 | − | 18.3379i | 2.45799 | − | 1.18370i | ||||
\(241\) | −1.07796 | + | 4.72287i | −0.0694378 | + | 0.304227i | −0.997707 | − | 0.0676824i | \(-0.978440\pi\) |
0.928269 | + | 0.371909i | \(0.121297\pi\) | |||||||
\(242\) | 24.1526 | − | 11.6313i | 1.55259 | − | 0.747687i | ||||
\(243\) | 2.98828 | + | 3.74718i | 0.191698 | + | 0.240382i | ||||
\(244\) | −5.08423 | −0.325484 | ||||||||
\(245\) | 18.3570 | + | 7.11447i | 1.17278 | + | 0.454527i | ||||
\(246\) | −9.54285 | −0.608430 | ||||||||
\(247\) | −3.79677 | − | 4.76100i | −0.241583 | − | 0.302935i | ||||
\(248\) | 4.85770 | − | 2.33934i | 0.308464 | − | 0.148549i | ||||
\(249\) | 4.89404 | − | 21.4422i | 0.310147 | − | 1.35884i | ||||
\(250\) | −9.53831 | + | 4.59341i | −0.603256 | + | 0.290513i | ||||
\(251\) | −18.3833 | − | 8.85294i | −1.16035 | − | 0.558793i | −0.248220 | − | 0.968704i | \(-0.579845\pi\) |
−0.912126 | + | 0.409911i | \(0.865560\pi\) | |||||||
\(252\) | −19.8653 | + | 5.36829i | −1.25140 | + | 0.338170i | ||||
\(253\) | −35.3040 | + | 17.0015i | −2.21954 | + | 1.06887i | ||||
\(254\) | −17.7271 | + | 22.2291i | −1.11230 | + | 1.39478i | ||||
\(255\) | 35.2794 | + | 16.9897i | 2.20928 | + | 1.06394i | ||||
\(256\) | 12.9063 | + | 16.1841i | 0.806647 | + | 1.01150i | ||||
\(257\) | 4.17791 | + | 18.3046i | 0.260611 | + | 1.14181i | 0.920591 | + | 0.390527i | \(0.127707\pi\) |
−0.659981 | + | 0.751283i | \(0.729436\pi\) | |||||||
\(258\) | 6.23793 | + | 7.82212i | 0.388357 | + | 0.486984i | ||||
\(259\) | 20.8388 | + | 3.89695i | 1.29486 | + | 0.242145i | ||||
\(260\) | 2.18148 | − | 2.73549i | 0.135290 | − | 0.169648i | ||||
\(261\) | −5.68360 | − | 2.73708i | −0.351806 | − | 0.169421i | ||||
\(262\) | −7.68491 | − | 33.6698i | −0.474775 | − | 2.08013i | ||||
\(263\) | 32.0072 | 1.97365 | 0.986824 | − | 0.161797i | \(-0.0517289\pi\) | ||||
0.986824 | + | 0.161797i | \(0.0517289\pi\) | |||||||
\(264\) | 21.0707 | 1.29681 | ||||||||
\(265\) | −4.50525 | − | 19.7388i | −0.276755 | − | 1.21255i | ||||
\(266\) | −28.0138 | + | 7.57027i | −1.71763 | + | 0.464163i | ||||
\(267\) | −6.65216 | + | 29.1450i | −0.407105 | + | 1.78364i | ||||
\(268\) | 2.38633 | − | 10.4552i | 0.145768 | − | 0.638653i | ||||
\(269\) | −5.70492 | + | 7.15374i | −0.347835 | + | 0.436171i | −0.924716 | − | 0.380657i | \(-0.875698\pi\) |
0.576882 | + | 0.816828i | \(0.304269\pi\) | |||||||
\(270\) | −31.2418 | + | 39.1759i | −1.90131 | + | 2.38417i | ||||
\(271\) | −1.65120 | + | 7.23436i | −0.100303 | + | 0.439456i | 0.899693 | + | 0.436524i | \(0.143791\pi\) |
−0.999996 | + | 0.00293224i | \(0.999067\pi\) | |||||||
\(272\) | −5.03199 | + | 22.0466i | −0.305110 | + | 1.33677i | ||||
\(273\) | 6.08867 | − | 5.26234i | 0.368503 | − | 0.318492i | ||||
\(274\) | 3.38690 | + | 14.8390i | 0.204610 | + | 0.896454i | ||||
\(275\) | 14.8054 | 0.892797 | ||||||||
\(276\) | 29.1441 | 1.75427 | ||||||||
\(277\) | −6.47512 | − | 28.3694i | −0.389052 | − | 1.70455i | −0.667931 | − | 0.744223i | \(-0.732820\pi\) |
0.278878 | − | 0.960326i | \(-0.410037\pi\) | |||||||
\(278\) | 18.5466 | + | 8.93157i | 1.11235 | + | 0.535680i | ||||
\(279\) | −15.4356 | + | 19.3557i | −0.924108 | + | 1.15879i | ||||
\(280\) | 4.75334 | + | 8.94756i | 0.284066 | + | 0.534719i | ||||
\(281\) | −5.95708 | − | 7.46995i | −0.355370 | − | 0.445620i | 0.571726 | − | 0.820445i | \(-0.306274\pi\) |
−0.927096 | + | 0.374825i | \(0.877703\pi\) | |||||||
\(282\) | 11.4628 | + | 50.2219i | 0.682601 | + | 2.99067i | ||||
\(283\) | −4.90424 | − | 6.14972i | −0.291527 | − | 0.365563i | 0.614402 | − | 0.788993i | \(-0.289397\pi\) |
−0.905929 | + | 0.423430i | \(0.860826\pi\) | |||||||
\(284\) | 5.40894 | + | 2.60481i | 0.320962 | + | 0.154567i | ||||
\(285\) | −32.4806 | + | 40.7293i | −1.92398 | + | 2.41260i | ||||
\(286\) | 8.25592 | − | 3.97584i | 0.488183 | − | 0.235097i | ||||
\(287\) | −0.182131 | − | 4.60497i | −0.0107508 | − | 0.271823i | ||||
\(288\) | −34.7839 | − | 16.7511i | −2.04966 | − | 0.987066i | ||||
\(289\) | −3.55977 | + | 1.71430i | −0.209398 | + | 0.100841i | ||||
\(290\) | 1.13736 | − | 4.98308i | 0.0667878 | − | 0.292617i | ||||
\(291\) | −12.5742 | + | 6.05543i | −0.737114 | + | 0.354976i | ||||
\(292\) | 0.251728 | + | 0.315657i | 0.0147313 | + | 0.0184724i | ||||
\(293\) | −29.4158 | −1.71849 | −0.859245 | − | 0.511565i | \(-0.829066\pi\) | ||||
−0.859245 | + | 0.511565i | \(0.829066\pi\) | |||||||
\(294\) | −11.4597 | − | 36.5972i | −0.668345 | − | 2.13439i | ||||
\(295\) | 14.9415 | 0.869928 | ||||||||
\(296\) | 6.80242 | + | 8.52997i | 0.395383 | + | 0.495794i | ||||
\(297\) | −45.3415 | + | 21.8353i | −2.63098 | + | 1.26701i | ||||
\(298\) | −2.97625 | + | 13.0398i | −0.172410 | + | 0.755376i | ||||
\(299\) | −6.93921 | + | 3.34175i | −0.401305 | + | 0.193258i | ||||
\(300\) | −9.92122 | − | 4.77781i | −0.572802 | − | 0.275847i | ||||
\(301\) | −3.65556 | + | 3.15945i | −0.210703 | + | 0.182107i | ||||
\(302\) | 7.34693 | − | 3.53809i | 0.422768 | − | 0.203594i | ||||
\(303\) | 12.6808 | − | 15.9012i | 0.728491 | − | 0.913498i | ||||
\(304\) | −27.1057 | − | 13.0534i | −1.55462 | − | 0.748666i | ||||
\(305\) | −7.16661 | − | 8.98665i | −0.410359 | − | 0.514574i | ||||
\(306\) | −11.4693 | − | 50.2503i | −0.655657 | − | 2.87262i | ||||
\(307\) | 6.43011 | + | 8.06310i | 0.366986 | + | 0.460186i | 0.930700 | − | 0.365785i | \(-0.119199\pi\) |
−0.563714 | + | 0.825970i | \(0.690628\pi\) | |||||||
\(308\) | −0.661775 | − | 16.7322i | −0.0377081 | − | 0.953408i | ||||
\(309\) | −19.4288 | + | 24.3630i | −1.10527 | + | 1.38596i | ||||
\(310\) | −18.0725 | − | 8.70323i | −1.02645 | − | 0.494311i | ||||
\(311\) | −3.26773 | − | 14.3168i | −0.185296 | − | 0.811833i | −0.979054 | − | 0.203600i | \(-0.934736\pi\) |
0.793758 | − | 0.608233i | \(-0.208121\pi\) | |||||||
\(312\) | 4.14157 | 0.234470 | ||||||||
\(313\) | −18.3587 | −1.03770 | −0.518848 | − | 0.854867i | \(-0.673639\pi\) | ||||
−0.518848 | + | 0.854867i | \(0.673639\pi\) | |||||||
\(314\) | 2.90826 | + | 12.7419i | 0.164123 | + | 0.719069i | ||||
\(315\) | −37.4905 | − | 27.5460i | −2.11235 | − | 1.55204i | ||||
\(316\) | −3.51140 | + | 15.3845i | −0.197532 | + | 0.865444i | ||||
\(317\) | −5.61189 | + | 24.5873i | −0.315195 | + | 1.38096i | 0.530677 | + | 0.847574i | \(0.321938\pi\) |
−0.845872 | + | 0.533386i | \(0.820919\pi\) | |||||||
\(318\) | −24.5894 | + | 30.8341i | −1.37891 | + | 1.72909i | ||||
\(319\) | 3.20063 | − | 4.01346i | 0.179201 | − | 0.224711i | ||||
\(320\) | 0.776850 | − | 3.40360i | 0.0434272 | − | 0.190267i | ||||
\(321\) | −4.13479 | + | 18.1157i | −0.230781 | + | 1.01112i | ||||
\(322\) | 1.45047 | + | 36.6735i | 0.0808315 | + | 2.04374i | ||||
\(323\) | −6.20239 | − | 27.1744i | −0.345110 | − | 1.51203i | ||||
\(324\) | 14.0971 | 0.783172 | ||||||||
\(325\) | 2.91008 | 0.161422 | ||||||||
\(326\) | 0.329797 | + | 1.44494i | 0.0182658 | + | 0.0800277i | ||||
\(327\) | −14.9714 | − | 7.20985i | −0.827921 | − | 0.398706i | ||||
\(328\) | 1.47874 | − | 1.85429i | 0.0816500 | − | 0.102386i | ||||
\(329\) | −24.0161 | + | 6.48997i | −1.32405 | + | 0.357804i | ||||
\(330\) | −48.8758 | − | 61.2884i | −2.69053 | − | 3.37381i | ||||
\(331\) | 2.96484 | + | 12.9898i | 0.162962 | + | 0.713984i | 0.988697 | + | 0.149926i | \(0.0479036\pi\) |
−0.825735 | + | 0.564058i | \(0.809239\pi\) | |||||||
\(332\) | −5.60840 | − | 7.03271i | −0.307801 | − | 0.385970i | ||||
\(333\) | −45.1355 | − | 21.7361i | −2.47341 | − | 1.19113i | ||||
\(334\) | −0.165745 | + | 0.207838i | −0.00906918 | + | 0.0113724i | ||||
\(335\) | 21.8439 | − | 10.5194i | 1.19346 | − | 0.574739i | ||||
\(336\) | 15.8216 | − | 36.4753i | 0.863138 | − | 1.98989i | ||||
\(337\) | 29.5100 | + | 14.2113i | 1.60751 | + | 0.774136i | 0.999800 | − | 0.0200221i | \(-0.00637365\pi\) |
0.607711 | + | 0.794158i | \(0.292088\pi\) | |||||||
\(338\) | 1.62275 | − | 0.781476i | 0.0882661 | − | 0.0425067i | ||||
\(339\) | −3.87923 | + | 16.9960i | −0.210691 | + | 0.923098i | ||||
\(340\) | 14.4289 | − | 6.94861i | 0.782519 | − | 0.376841i | ||||
\(341\) | −12.5608 | − | 15.7507i | −0.680205 | − | 0.852950i | ||||
\(342\) | 68.5723 | 3.70797 | ||||||||
\(343\) | 17.4415 | − | 6.22845i | 0.941753 | − | 0.336305i | ||||
\(344\) | −2.48655 | −0.134066 | ||||||||
\(345\) | 41.0808 | + | 51.5137i | 2.21172 | + | 2.77340i | ||||
\(346\) | −36.2540 | + | 17.4590i | −1.94903 | + | 0.938601i | ||||
\(347\) | −1.87342 | + | 8.20801i | −0.100571 | + | 0.440629i | 0.899423 | + | 0.437079i | \(0.143987\pi\) |
−0.999994 | + | 0.00354973i | \(0.998870\pi\) | |||||||
\(348\) | −3.43995 | + | 1.65659i | −0.184401 | + | 0.0888026i | ||||
\(349\) | 30.3911 | + | 14.6356i | 1.62680 | + | 0.783425i | 0.999991 | + | 0.00425176i | \(0.00135338\pi\) |
0.626808 | + | 0.779173i | \(0.284361\pi\) | |||||||
\(350\) | 5.51840 | − | 12.7222i | 0.294971 | − | 0.680029i | ||||
\(351\) | −8.91216 | + | 4.29187i | −0.475696 | + | 0.229083i | ||||
\(352\) | 19.5880 | − | 24.5626i | 1.04405 | − | 1.30919i | ||||
\(353\) | −2.75133 | − | 1.32497i | −0.146439 | − | 0.0705212i | 0.359229 | − | 0.933249i | \(-0.383040\pi\) |
−0.505668 | + | 0.862728i | \(0.668754\pi\) | |||||||
\(354\) | −18.1465 | − | 22.7550i | −0.964478 | − | 1.20942i | ||||
\(355\) | 3.02018 | + | 13.2323i | 0.160294 | + | 0.702296i | ||||
\(356\) | 7.62313 | + | 9.55911i | 0.404025 | + | 0.506632i | ||||
\(357\) | 35.5603 | − | 9.60959i | 1.88205 | − | 0.508593i | ||||
\(358\) | 22.3220 | − | 27.9909i | 1.17975 | − | 1.47936i | ||||
\(359\) | 6.19226 | + | 2.98204i | 0.326815 | + | 0.157386i | 0.590095 | − | 0.807334i | \(-0.299090\pi\) |
−0.263280 | + | 0.964719i | \(0.584804\pi\) | |||||||
\(360\) | −5.32757 | − | 23.3416i | −0.280787 | − | 1.23021i | ||||
\(361\) | 18.0826 | 0.951717 | ||||||||
\(362\) | −25.6554 | −1.34842 | ||||||||
\(363\) | −10.0740 | − | 44.1370i | −0.528746 | − | 2.31659i | ||||
\(364\) | −0.130076 | − | 3.28883i | −0.00681783 | − | 0.172381i | ||||
\(365\) | −0.203111 | + | 0.889886i | −0.0106313 | + | 0.0465788i | ||||
\(366\) | −4.98225 | + | 21.8287i | −0.260427 | + | 1.14100i | ||||
\(367\) | 12.7495 | − | 15.9874i | 0.665519 | − | 0.834534i | −0.328413 | − | 0.944534i | \(-0.606514\pi\) |
0.993932 | + | 0.110000i | \(0.0350851\pi\) | |||||||
\(368\) | −23.7245 | + | 29.7495i | −1.23672 | + | 1.55080i | ||||
\(369\) | −2.42331 | + | 10.6172i | −0.126153 | + | 0.552710i | ||||
\(370\) | 9.03216 | − | 39.5725i | 0.469560 | − | 2.05727i | ||||
\(371\) | −15.3485 | − | 11.2773i | −0.796856 | − | 0.585489i | ||||
\(372\) | 3.33422 | + | 14.6082i | 0.172871 | + | 0.757399i | ||||
\(373\) | −7.04532 | −0.364793 | −0.182396 | − | 0.983225i | \(-0.558385\pi\) | ||||
−0.182396 | + | 0.983225i | \(0.558385\pi\) | |||||||
\(374\) | 41.9429 | 2.16882 | ||||||||
\(375\) | 3.97840 | + | 17.4305i | 0.205444 | + | 0.900108i | ||||
\(376\) | −11.5349 | − | 5.55494i | −0.594869 | − | 0.286474i | ||||
\(377\) | 0.629103 | − | 0.788870i | 0.0324005 | − | 0.0406289i | ||||
\(378\) | 1.86286 | + | 47.1005i | 0.0958154 | + | 2.42259i | ||||
\(379\) | 4.73848 | + | 5.94187i | 0.243399 | + | 0.305213i | 0.888493 | − | 0.458891i | \(-0.151753\pi\) |
−0.645093 | + | 0.764104i | \(0.723182\pi\) | |||||||
\(380\) | 4.74109 | + | 20.7721i | 0.243213 | + | 1.06558i | ||||
\(381\) | 29.9374 | + | 37.5403i | 1.53374 | + | 1.92325i | ||||
\(382\) | 23.6847 | + | 11.4059i | 1.21181 | + | 0.583578i | ||||
\(383\) | 0.845365 | − | 1.06005i | 0.0431961 | − | 0.0541663i | −0.759764 | − | 0.650199i | \(-0.774686\pi\) |
0.802960 | + | 0.596032i | \(0.203257\pi\) | |||||||
\(384\) | 27.7189 | − | 13.3487i | 1.41453 | − | 0.681200i | ||||
\(385\) | 28.6423 | − | 24.7551i | 1.45975 | − | 1.26164i | ||||
\(386\) | 11.3049 | + | 5.44416i | 0.575405 | + | 0.277100i | ||||
\(387\) | 10.2868 | − | 4.95387i | 0.522908 | − | 0.251819i | ||||
\(388\) | −1.27015 | + | 5.56489i | −0.0644821 | + | 0.282515i | ||||
\(389\) | −27.3983 | + | 13.1943i | −1.38915 | + | 0.668978i | −0.970929 | − | 0.239368i | \(-0.923060\pi\) |
−0.418219 | + | 0.908346i | \(0.637345\pi\) | |||||||
\(390\) | −9.60685 | − | 12.0466i | −0.486462 | − | 0.610004i | ||||
\(391\) | −35.2536 | −1.78285 | ||||||||
\(392\) | 8.88704 | + | 3.44428i | 0.448863 | + | 0.173962i | ||||
\(393\) | −58.3235 | −2.94203 | ||||||||
\(394\) | 20.0158 | + | 25.0990i | 1.00838 | + | 1.26447i | ||||
\(395\) | −32.1424 | + | 15.4790i | −1.61726 | + | 0.778832i | ||||
\(396\) | −8.80514 | + | 38.5779i | −0.442475 | + | 1.93861i | ||||
\(397\) | 35.1826 | − | 16.9430i | 1.76576 | − | 0.850346i | 0.796378 | − | 0.604800i | \(-0.206747\pi\) |
0.969385 | − | 0.245547i | \(-0.0789674\pi\) | |||||||
\(398\) | −37.2542 | − | 17.9407i | −1.86739 | − | 0.899286i | ||||
\(399\) | 1.93673 | + | 48.9681i | 0.0969578 | + | 2.45147i | ||||
\(400\) | 12.9533 | − | 6.23800i | 0.647667 | − | 0.311900i | ||||
\(401\) | 8.52935 | − | 10.6955i | 0.425935 | − | 0.534106i | −0.521841 | − | 0.853043i | \(-0.674754\pi\) |
0.947776 | + | 0.318937i | \(0.103326\pi\) | |||||||
\(402\) | −42.5500 | − | 20.4910i | −2.12220 | − | 1.02200i | ||||
\(403\) | −2.46890 | − | 3.09590i | −0.122985 | − | 0.154218i | ||||
\(404\) | −1.85097 | − | 8.10963i | −0.0920892 | − | 0.403469i | ||||
\(405\) | 19.8709 | + | 24.9174i | 0.987395 | + | 1.23815i | ||||
\(406\) | −2.25578 | − | 4.24622i | −0.111952 | − | 0.210736i | ||||
\(407\) | 25.4174 | − | 31.8724i | 1.25989 | − | 1.57985i | ||||
\(408\) | 17.0796 | + | 8.22510i | 0.845566 | + | 0.407203i | ||||
\(409\) | −2.18546 | − | 9.57512i | −0.108064 | − | 0.473459i | −0.999782 | − | 0.0208682i | \(-0.993357\pi\) |
0.891718 | − | 0.452591i | \(-0.149500\pi\) | |||||||
\(410\) | −8.82369 | −0.435771 | ||||||||
\(411\) | 25.7044 | 1.26790 | ||||||||
\(412\) | 2.83597 | + | 12.4252i | 0.139718 | + | 0.612145i | ||||
\(413\) | 10.6343 | − | 9.19103i | 0.523278 | − | 0.452261i | ||||
\(414\) | 19.2990 | − | 84.5545i | 0.948494 | − | 4.15562i | ||||
\(415\) | 4.52522 | − | 19.8263i | 0.222134 | − | 0.973234i | ||||
\(416\) | 3.85015 | − | 4.82793i | 0.188769 | − | 0.236709i | ||||
\(417\) | 21.6750 | − | 27.1796i | 1.06143 | − | 1.33099i | ||||
\(418\) | −12.4169 | + | 54.4018i | −0.607329 | + | 2.66088i | ||||
\(419\) | 5.04081 | − | 22.0852i | 0.246260 | − | 1.07893i | −0.688942 | − | 0.724817i | \(-0.741924\pi\) |
0.935201 | − | 0.354117i | \(-0.115218\pi\) | |||||||
\(420\) | −27.1822 | + | 7.34554i | −1.32635 | + | 0.358426i | ||||
\(421\) | −3.82952 | − | 16.7782i | −0.186640 | − | 0.817721i | −0.978372 | − | 0.206853i | \(-0.933678\pi\) |
0.791732 | − | 0.610868i | \(-0.209179\pi\) | |||||||
\(422\) | 23.5746 | 1.14759 | ||||||||
\(423\) | 58.7869 | 2.85832 | ||||||||
\(424\) | −2.18110 | − | 9.55601i | −0.105923 | − | 0.464081i | ||||
\(425\) | 12.0010 | + | 5.77939i | 0.582135 | + | 0.280342i | ||||
\(426\) | 16.4840 | − | 20.6702i | 0.798651 | − | 1.00148i | ||||
\(427\) | −10.6287 | − | 1.98761i | −0.514357 | − | 0.0961871i | ||||
\(428\) | 4.73832 | + | 5.94166i | 0.229035 | + | 0.287201i | ||||
\(429\) | −3.44352 | − | 15.0870i | −0.166255 | − | 0.728410i | ||||
\(430\) | 5.76783 | + | 7.23263i | 0.278150 | + | 0.348789i | ||||
\(431\) | −29.5837 | − | 14.2468i | −1.42500 | − | 0.686242i | −0.446937 | − | 0.894565i | \(-0.647485\pi\) |
−0.978060 | + | 0.208323i | \(0.933199\pi\) | |||||||
\(432\) | −30.4697 | + | 38.2078i | −1.46598 | + | 1.83828i | ||||
\(433\) | −17.3368 | + | 8.34896i | −0.833153 | + | 0.401225i | −0.801297 | − | 0.598267i | \(-0.795856\pi\) |
−0.0318563 | + | 0.999492i | \(0.510142\pi\) | |||||||
\(434\) | −18.2163 | + | 4.92266i | −0.874411 | + | 0.236295i | ||||
\(435\) | −7.77699 | − | 3.74520i | −0.372878 | − | 0.179569i | ||||
\(436\) | −6.12316 | + | 2.94876i | −0.293246 | + | 0.141220i | ||||
\(437\) | 10.4365 | − | 45.7255i | 0.499247 | − | 2.18735i | ||||
\(438\) | 1.60193 | − | 0.771447i | 0.0765430 | − | 0.0368611i | ||||
\(439\) | −2.61341 | − | 3.27711i | −0.124731 | − | 0.156408i | 0.715545 | − | 0.698567i | \(-0.246179\pi\) |
−0.840276 | + | 0.542159i | \(0.817607\pi\) | |||||||
\(440\) | 19.4828 | 0.928804 | ||||||||
\(441\) | −43.6275 | + | 3.45642i | −2.07750 | + | 0.164591i | ||||
\(442\) | 8.24414 | 0.392134 | ||||||||
\(443\) | −6.09157 | − | 7.63859i | −0.289419 | − | 0.362920i | 0.615772 | − | 0.787924i | \(-0.288844\pi\) |
−0.905191 | + | 0.425004i | \(0.860273\pi\) | |||||||
\(444\) | −27.3179 | + | 13.1556i | −1.29645 | + | 0.624337i | ||||
\(445\) | −6.15084 | + | 26.9486i | −0.291578 | + | 1.27749i | ||||
\(446\) | 21.3783 | − | 10.2952i | 1.01229 | − | 0.487493i | ||||
\(447\) | 20.3510 | + | 9.80050i | 0.962567 | + | 0.463548i | ||||
\(448\) | −1.54077 | − | 2.90030i | −0.0727945 | − | 0.137026i | ||||
\(449\) | −1.48910 | + | 0.717112i | −0.0702749 | + | 0.0338426i | −0.468691 | − | 0.883362i | \(-0.655274\pi\) |
0.398416 | + | 0.917205i | \(0.369560\pi\) | |||||||
\(450\) | −20.4314 | + | 25.6202i | −0.963146 | + | 1.20775i | ||||
\(451\) | −7.98436 | − | 3.84507i | −0.375969 | − | 0.181057i | ||||
\(452\) | 4.44546 | + | 5.57443i | 0.209097 | + | 0.262199i | ||||
\(453\) | −3.06438 | − | 13.4259i | −0.143977 | − | 0.630805i | ||||
\(454\) | 10.7786 | + | 13.5159i | 0.505863 | + | 0.634332i | ||||
\(455\) | 5.62982 | − | 4.86577i | 0.263930 | − | 0.228111i | ||||
\(456\) | −15.7246 | + | 19.7180i | −0.736372 | + | 0.923381i | ||||
\(457\) | −12.4699 | − | 6.00516i | −0.583315 | − | 0.280910i | 0.118863 | − | 0.992911i | \(-0.462075\pi\) |
−0.702179 | + | 0.712001i | \(0.747789\pi\) | |||||||
\(458\) | −6.39576 | − | 28.0216i | −0.298854 | − | 1.30936i | ||||
\(459\) | −45.2768 | −2.11334 | ||||||||
\(460\) | 26.9477 | 1.25644 | ||||||||
\(461\) | −5.72917 | − | 25.1012i | −0.266834 | − | 1.16908i | −0.913673 | − | 0.406450i | \(-0.866766\pi\) |
0.646839 | − | 0.762627i | \(-0.276091\pi\) | |||||||
\(462\) | −72.4869 | − | 13.5554i | −3.37239 | − | 0.630653i | ||||
\(463\) | −2.70562 | + | 11.8541i | −0.125741 | + | 0.550907i | 0.872335 | + | 0.488908i | \(0.162605\pi\) |
−0.998076 | + | 0.0619989i | \(0.980252\pi\) | |||||||
\(464\) | 1.10925 | − | 4.85995i | 0.0514957 | − | 0.225617i | ||||
\(465\) | −21.1209 | + | 26.4848i | −0.979459 | + | 1.22820i | ||||
\(466\) | 13.3593 | − | 16.7521i | 0.618860 | − | 0.776025i | ||||
\(467\) | 5.30712 | − | 23.2520i | 0.245584 | − | 1.07597i | −0.690260 | − | 0.723561i | \(-0.742504\pi\) |
0.935844 | − | 0.352413i | \(-0.114639\pi\) | |||||||
\(468\) | −1.73071 | + | 7.58271i | −0.0800019 | + | 0.350511i | ||||
\(469\) | 9.07599 | − | 20.9239i | 0.419090 | − | 0.966175i | ||||
\(470\) | 10.5990 | + | 46.4371i | 0.488894 | + | 2.14198i | ||||
\(471\) | 22.0719 | 1.01702 | ||||||||
\(472\) | 7.23353 | 0.332950 | ||||||||
\(473\) | 2.06745 | + | 9.05808i | 0.0950613 | + | 0.416491i | ||||
\(474\) | 62.6108 | + | 30.1518i | 2.87581 | + | 1.38492i | ||||
\(475\) | −11.0489 | + | 13.8549i | −0.506960 | + | 0.635707i | ||||
\(476\) | 5.99514 | − | 13.8213i | 0.274787 | − | 0.633496i | ||||
\(477\) | 28.0613 | + | 35.1878i | 1.28484 | + | 1.61114i | ||||
\(478\) | −11.4499 | − | 50.1654i | −0.523708 | − | 2.29451i | ||||
\(479\) | 20.4241 | + | 25.6110i | 0.933202 | + | 1.17020i | 0.985175 | + | 0.171550i | \(0.0548774\pi\) |
−0.0519737 | + | 0.998648i | \(0.516551\pi\) | |||||||
\(480\) | −47.5956 | − | 22.9208i | −2.17243 | − | 1.04619i | ||||
\(481\) | 4.99594 | − | 6.26471i | 0.227795 | − | 0.285646i | ||||
\(482\) | 7.86114 | − | 3.78573i | 0.358065 | − | 0.172435i | ||||
\(483\) | 60.9262 | + | 11.3935i | 2.77224 | + | 0.518421i | ||||
\(484\) | −16.6822 | − | 8.03371i | −0.758280 | − | 0.365168i | ||||
\(485\) | −11.6266 | + | 5.59908i | −0.527938 | + | 0.254241i | ||||
\(486\) | 1.92090 | − | 8.41601i | 0.0871338 | − | 0.381758i | ||||
\(487\) | 6.40155 | − | 3.08282i | 0.290082 | − | 0.139696i | −0.283184 | − | 0.959066i | \(-0.591391\pi\) |
0.573266 | + | 0.819370i | \(0.305676\pi\) | |||||||
\(488\) | −3.46952 | − | 4.35065i | −0.157058 | − | 0.196944i | ||||
\(489\) | 2.50295 | 0.113187 | ||||||||
\(490\) | −10.5961 | − | 33.8392i | −0.478683 | − | 1.52870i | ||||
\(491\) | 15.8484 | 0.715227 | 0.357613 | − | 0.933870i | \(-0.383591\pi\) | ||||
0.357613 | + | 0.933870i | \(0.383591\pi\) | |||||||
\(492\) | 4.10957 | + | 5.15324i | 0.185274 | + | 0.232326i | ||||
\(493\) | 4.16107 | − | 2.00387i | 0.187405 | − | 0.0902496i | ||||
\(494\) | −2.44061 | + | 10.6930i | −0.109808 | + | 0.481102i | ||||
\(495\) | −80.5999 | + | 38.8149i | −3.62270 | + | 1.74460i | ||||
\(496\) | −17.6259 | − | 8.48817i | −0.791425 | − | 0.381130i | ||||
\(497\) | 10.2892 | + | 7.55995i | 0.461532 | + | 0.339110i | ||||
\(498\) | −35.6902 | + | 17.1875i | −1.59932 | + | 0.770190i | ||||
\(499\) | 0.820116 | − | 1.02839i | 0.0367134 | − | 0.0460372i | −0.763136 | − | 0.646238i | \(-0.776341\pi\) |
0.799849 | + | 0.600201i | \(0.204913\pi\) | |||||||
\(500\) | 6.58810 | + | 3.17266i | 0.294629 | + | 0.141886i | ||||
\(501\) | 0.279909 | + | 0.350995i | 0.0125054 | + | 0.0156813i | ||||
\(502\) | 8.17763 | + | 35.8286i | 0.364986 | + | 1.59911i | ||||
\(503\) | −9.68547 | − | 12.1452i | −0.431854 | − | 0.541528i | 0.517522 | − | 0.855670i | \(-0.326855\pi\) |
−0.949376 | + | 0.314142i | \(0.898283\pi\) | |||||||
\(504\) | −18.1500 | − | 13.3357i | −0.808465 | − | 0.594018i | ||||
\(505\) | 11.7251 | − | 14.7028i | 0.521761 | − | 0.654268i | ||||
\(506\) | 63.5867 | + | 30.6217i | 2.82677 | + | 1.36130i | ||||
\(507\) | −0.676845 | − | 2.96545i | −0.0300598 | − | 0.131700i | ||||
\(508\) | 19.6380 | 0.871295 | ||||||||
\(509\) | 22.8711 | 1.01374 | 0.506872 | − | 0.862021i | \(-0.330802\pi\) | ||||
0.506872 | + | 0.862021i | \(0.330802\pi\) | |||||||
\(510\) | −15.6937 | − | 68.7586i | −0.694929 | − | 3.04468i | ||||
\(511\) | 0.402841 | + | 0.758297i | 0.0178206 | + | 0.0335451i | ||||
\(512\) | 3.79494 | − | 16.6267i | 0.167714 | − | 0.734804i | ||||
\(513\) | 13.4038 | − | 58.7260i | 0.591794 | − | 2.59282i | ||||
\(514\) | 21.0843 | − | 26.4389i | 0.929990 | − | 1.16617i | ||||
\(515\) | −17.9647 | + | 22.5270i | −0.791617 | + | 0.992657i | ||||
\(516\) | 1.53770 | − | 6.73709i | 0.0676933 | − | 0.296584i | ||||
\(517\) | −10.6449 | + | 46.6386i | −0.468164 | + | 2.05116i | ||||
\(518\) | −17.9140 | − | 33.7208i | −0.787095 | − | 1.48161i | ||||
\(519\) | 15.1214 | + | 66.2513i | 0.663757 | + | 2.90811i | ||||
\(520\) | 3.82946 | 0.167933 | ||||||||
\(521\) | 36.7196 | 1.60872 | 0.804358 | − | 0.594145i | \(-0.202509\pi\) | ||||
0.804358 | + | 0.594145i | \(0.202509\pi\) | |||||||
\(522\) | 2.52829 | + | 11.0772i | 0.110660 | + | 0.484834i | ||||
\(523\) | −6.56926 | − | 3.16359i | −0.287254 | − | 0.138334i | 0.284708 | − | 0.958614i | \(-0.408103\pi\) |
−0.571962 | + | 0.820280i | \(0.693818\pi\) | |||||||
\(524\) | −14.8726 | + | 18.6496i | −0.649711 | + | 0.814712i | ||||
\(525\) | −18.8727 | − | 13.8667i | −0.823671 | − | 0.605190i | ||||
\(526\) | −35.9434 | − | 45.0716i | −1.56721 | − | 1.96522i | ||||
\(527\) | −4.03318 | − | 17.6705i | −0.175688 | − | 0.769741i | ||||
\(528\) | −47.6681 | − | 59.7739i | −2.07449 | − | 2.60132i | ||||
\(529\) | −32.7232 | − | 15.7586i | −1.42275 | − | 0.685158i | ||||
\(530\) | −22.7363 | + | 28.5104i | −0.987603 | + | 1.23841i | ||||
\(531\) | −29.9250 | + | 14.4111i | −1.29863 | + | 0.625390i | ||||
\(532\) | 16.1520 | + | 11.8676i | 0.700277 | + | 0.514527i | ||||
\(533\) | −1.56938 | − | 0.755772i | −0.0679772 | − | 0.0327361i | ||||
\(534\) | 48.5114 | − | 23.3619i | 2.09929 | − | 1.01097i | ||||
\(535\) | −3.82318 | + | 16.7505i | −0.165291 | + | 0.724186i | ||||
\(536\) | 10.5751 | − | 5.09271i | 0.456775 | − | 0.219971i | ||||
\(537\) | −37.6972 | − | 47.2707i | −1.62675 | − | 2.03988i | ||||
\(538\) | 16.4802 | 0.710512 | ||||||||
\(539\) | 5.15779 | − | 35.2378i | 0.222162 | − | 1.51780i | ||||
\(540\) | 34.6095 | 1.48935 | ||||||||
\(541\) | 22.0375 | + | 27.6342i | 0.947468 | + | 1.18809i | 0.982038 | + | 0.188685i | \(0.0604226\pi\) |
−0.0345695 | + | 0.999402i | \(0.511006\pi\) | |||||||
\(542\) | 12.0415 | − | 5.79887i | 0.517226 | − | 0.249083i | ||||
\(543\) | −9.64107 | + | 42.2403i | −0.413738 | + | 1.81270i | ||||
\(544\) | 25.4660 | − | 12.2638i | 1.09185 | − | 0.525805i | ||||
\(545\) | −13.8431 | − | 6.66651i | −0.592975 | − | 0.285562i | ||||
\(546\) | −14.2477 | − | 2.66439i | −0.609747 | − | 0.114025i | ||||
\(547\) | −14.9863 | + | 7.21704i | −0.640770 | + | 0.308579i | −0.725909 | − | 0.687791i | \(-0.758581\pi\) |
0.0851393 | + | 0.996369i | \(0.472866\pi\) | |||||||
\(548\) | 6.55464 | − | 8.21926i | 0.280000 | − | 0.351110i | ||||
\(549\) | 23.0210 | + | 11.0863i | 0.982514 | + | 0.473154i | ||||
\(550\) | −16.6261 | − | 20.8485i | −0.708940 | − | 0.888983i | ||||
\(551\) | 1.36725 | + | 5.99032i | 0.0582469 | + | 0.255196i | ||||
\(552\) | 19.8882 | + | 24.9390i | 0.846497 | + | 1.06147i | ||||
\(553\) | −13.3550 | + | 30.7888i | −0.567912 | + | 1.30927i | ||||
\(554\) | −32.6775 | + | 40.9763i | −1.38833 | + | 1.74092i | ||||
\(555\) | −61.7599 | − | 29.7420i | −2.62156 | − | 1.26248i | ||||
\(556\) | −3.16384 | − | 13.8617i | −0.134177 | − | 0.587866i | ||||
\(557\) | −14.6642 | −0.621343 | −0.310671 | − | 0.950517i | \(-0.600554\pi\) | ||||
−0.310671 | + | 0.950517i | \(0.600554\pi\) | |||||||
\(558\) | 44.5900 | 1.88765 | ||||||||
\(559\) | 0.406370 | + | 1.78042i | 0.0171876 | + | 0.0753038i | ||||
\(560\) | 14.6292 | − | 33.7264i | 0.618199 | − | 1.42520i | ||||
\(561\) | 15.7618 | − | 69.0569i | 0.665463 | − | 2.91559i | ||||
\(562\) | −3.82929 | + | 16.7772i | −0.161529 | + | 0.707703i | ||||
\(563\) | −14.4180 | + | 18.0796i | −0.607646 | + | 0.761964i | −0.986548 | − | 0.163473i | \(-0.947730\pi\) |
0.378902 | + | 0.925437i | \(0.376302\pi\) | |||||||
\(564\) | 22.1839 | − | 27.8178i | 0.934112 | − | 1.17134i | ||||
\(565\) | −3.58689 | + | 15.7152i | −0.150902 | + | 0.661143i | ||||
\(566\) | −3.15250 | + | 13.8120i | −0.132510 | + | 0.580563i | ||||
\(567\) | 29.4702 | + | 5.51106i | 1.23763 | + | 0.231443i | ||||
\(568\) | 1.46214 | + | 6.40605i | 0.0613500 | + | 0.268792i | ||||
\(569\) | −29.8282 | −1.25046 | −0.625231 | − | 0.780440i | \(-0.714995\pi\) | ||||
−0.625231 | + | 0.780440i | \(0.714995\pi\) | |||||||
\(570\) | 93.8289 | 3.93006 | ||||||||
\(571\) | 4.75355 | + | 20.8266i | 0.198930 | + | 0.871568i | 0.971575 | + | 0.236730i | \(0.0760758\pi\) |
−0.772646 | + | 0.634837i | \(0.781067\pi\) | |||||||
\(572\) | −5.70236 | − | 2.74611i | −0.238427 | − | 0.114821i | ||||
\(573\) | 27.6798 | − | 34.7094i | 1.15634 | − | 1.45000i | ||||
\(574\) | −6.28006 | + | 5.42776i | −0.262125 | + | 0.226550i | ||||
\(575\) | 13.9745 | + | 17.5234i | 0.582776 | + | 0.730778i | ||||
\(576\) | 1.72690 | + | 7.56605i | 0.0719542 | + | 0.315252i | ||||
\(577\) | −3.43078 | − | 4.30206i | −0.142825 | − | 0.179097i | 0.705274 | − | 0.708935i | \(-0.250824\pi\) |
−0.848099 | + | 0.529838i | \(0.822253\pi\) | |||||||
\(578\) | 6.41158 | + | 3.08765i | 0.266686 | + | 0.128429i | ||||
\(579\) | 13.2118 | − | 16.5671i | 0.549064 | − | 0.688505i | ||||
\(580\) | −3.18071 | + | 1.53175i | −0.132072 | + | 0.0636024i | ||||
\(581\) | −8.97511 | − | 16.8945i | −0.372350 | − | 0.700903i | ||||
\(582\) | 22.6477 | + | 10.9066i | 0.938777 | + | 0.452091i | ||||
\(583\) | −32.9975 | + | 15.8908i | −1.36662 | + | 0.658128i | ||||
\(584\) | −0.0983306 | + | 0.430815i | −0.00406895 | + | 0.0178272i | ||||
\(585\) | −15.8424 | + | 7.62930i | −0.655003 | + | 0.315433i | ||||
\(586\) | 33.0333 | + | 41.4225i | 1.36459 | + | 1.71115i | ||||
\(587\) | 14.2785 | 0.589335 | 0.294668 | − | 0.955600i | \(-0.404791\pi\) | ||||
0.294668 | + | 0.955600i | \(0.404791\pi\) | |||||||
\(588\) | −14.8278 | + | 21.9487i | −0.611488 | + | 0.905150i | ||||
\(589\) | 24.1135 | 0.993578 | ||||||||
\(590\) | −16.7790 | − | 21.0402i | −0.690780 | − | 0.866211i | ||||
\(591\) | 48.8460 | − | 23.5230i | 2.00926 | − | 0.967606i | ||||
\(592\) | 8.80897 | − | 38.5946i | 0.362046 | − | 1.58623i | ||||
\(593\) | 27.1902 | − | 13.0941i | 1.11657 | − | 0.537711i | 0.217738 | − | 0.976007i | \(-0.430132\pi\) |
0.898830 | + | 0.438296i | \(0.144418\pi\) | |||||||
\(594\) | 81.6655 | + | 39.3280i | 3.35078 | + | 1.61365i | ||||
\(595\) | 32.8804 | − | 8.88540i | 1.34797 | − | 0.364266i | ||||
\(596\) | 8.32334 | − | 4.00831i | 0.340937 | − | 0.164187i | ||||
\(597\) | −43.5383 | + | 54.5953i | −1.78190 | + | 2.23444i | ||||
\(598\) | 12.4984 | + | 6.01889i | 0.511096 | + | 0.246131i | ||||
\(599\) | −5.89176 | − | 7.38803i | −0.240731 | − | 0.301867i | 0.646759 | − | 0.762695i | \(-0.276124\pi\) |
−0.887490 | + | 0.460828i | \(0.847553\pi\) | |||||||
\(600\) | −2.68189 | − | 11.7501i | −0.109488 | − | 0.479698i | ||||
\(601\) | −1.28443 | − | 1.61063i | −0.0523931 | − | 0.0656989i | 0.754945 | − | 0.655789i | \(-0.227664\pi\) |
−0.807338 | + | 0.590090i | \(0.799092\pi\) | |||||||
\(602\) | 8.55417 | + | 1.59967i | 0.348642 | + | 0.0651976i | ||||
\(603\) | −33.6031 | + | 42.1369i | −1.36842 | + | 1.71595i | ||||
\(604\) | −5.07451 | − | 2.44376i | −0.206479 | − | 0.0994350i | ||||
\(605\) | −9.31478 | − | 40.8107i | −0.378700 | − | 1.65919i | ||||
\(606\) | −36.6318 | −1.48807 | ||||||||
\(607\) | 18.7711 | 0.761896 | 0.380948 | − | 0.924596i | \(-0.375598\pi\) | ||||
0.380948 | + | 0.924596i | \(0.375598\pi\) | |||||||
\(608\) | 8.36766 | + | 36.6611i | 0.339353 | + | 1.48680i | ||||
\(609\) | −7.83889 | + | 2.11833i | −0.317648 | + | 0.0858392i | ||||
\(610\) | −4.60678 | + | 20.1836i | −0.186523 | + | 0.817212i | ||||
\(611\) | −2.09233 | + | 9.16710i | −0.0846466 | + | 0.370861i | ||||
\(612\) | −22.1965 | + | 27.8335i | −0.897240 | + | 1.12510i | ||||
\(613\) | 5.94705 | − | 7.45736i | 0.240199 | − | 0.301200i | −0.647090 | − | 0.762413i | \(-0.724014\pi\) |
0.887289 | + | 0.461213i | \(0.152586\pi\) | |||||||
\(614\) | 4.13335 | − | 18.1094i | 0.166809 | − | 0.730836i | ||||
\(615\) | −3.31587 | + | 14.5278i | −0.133709 | + | 0.585816i | ||||
\(616\) | 13.8664 | − | 11.9845i | 0.558693 | − | 0.482870i | ||||
\(617\) | 3.62786 | + | 15.8947i | 0.146052 | + | 0.639897i | 0.993959 | + | 0.109752i | \(0.0350055\pi\) |
−0.847907 | + | 0.530145i | \(0.822137\pi\) | |||||||
\(618\) | 56.1255 | 2.25770 | ||||||||
\(619\) | −40.3940 | −1.62357 | −0.811786 | − | 0.583955i | \(-0.801504\pi\) | ||||
−0.811786 | + | 0.583955i | \(0.801504\pi\) | |||||||
\(620\) | 3.08295 | + | 13.5073i | 0.123814 | + | 0.542466i | ||||
\(621\) | −68.6409 | − | 33.0557i | −2.75447 | − | 1.32648i | ||||
\(622\) | −16.4910 | + | 20.6790i | −0.661228 | + | 0.829154i | ||||
\(623\) | 12.1993 | + | 22.9636i | 0.488754 | + | 0.920019i | ||||
\(624\) | −9.36945 | − | 11.7489i | −0.375078 | − | 0.470333i | ||||
\(625\) | 6.91636 | + | 30.3025i | 0.276654 | + | 1.21210i | ||||
\(626\) | 20.6165 | + | 25.8522i | 0.824000 | + | 1.03326i | ||||
\(627\) | 84.9037 | + | 40.8875i | 3.39073 | + | 1.63289i | ||||
\(628\) | 5.62835 | − | 7.05772i | 0.224595 | − | 0.281634i | ||||
\(629\) | 33.0446 | − | 15.9134i | 1.31757 | − | 0.634510i | ||||
\(630\) | 3.31146 | + | 83.7266i | 0.131932 | + | 3.33575i | ||||
\(631\) | −14.7928 | − | 7.12383i | −0.588891 | − | 0.283595i | 0.115613 | − | 0.993294i | \(-0.463117\pi\) |
−0.704505 | + | 0.709699i | \(0.748831\pi\) | |||||||
\(632\) | −15.5609 | + | 7.49374i | −0.618980 | + | 0.298085i | ||||
\(633\) | 8.85912 | − | 38.8143i | 0.352118 | − | 1.54273i | ||||
\(634\) | 40.9252 | − | 19.7085i | 1.62535 | − | 0.782725i | ||||
\(635\) | 27.6813 | + | 34.7112i | 1.09850 | + | 1.37747i | ||||
\(636\) | 27.2400 | 1.08014 | ||||||||
\(637\) | 1.01379 | − | 6.92620i | 0.0401680 | − | 0.274426i | ||||
\(638\) | −9.24588 | −0.366048 | ||||||||
\(639\) | −18.8114 | − | 23.5888i | −0.744168 | − | 0.933158i | ||||
\(640\) | 25.6300 | − | 12.3428i | 1.01311 | − | 0.487890i | ||||
\(641\) | −6.66563 | + | 29.2040i | −0.263276 | + | 1.15349i | 0.654396 | + | 0.756152i | \(0.272923\pi\) |
−0.917673 | + | 0.397338i | \(0.869934\pi\) | |||||||
\(642\) | 30.1533 | − | 14.5211i | 1.19005 | − | 0.573100i | ||||
\(643\) | 20.4337 | + | 9.84034i | 0.805826 | + | 0.388065i | 0.790993 | − | 0.611825i | \(-0.209564\pi\) |
0.0148324 | + | 0.999890i | \(0.495279\pi\) | |||||||
\(644\) | 19.1794 | − | 16.5765i | 0.755775 | − | 0.653205i | ||||
\(645\) | 14.0757 | − | 6.77849i | 0.554229 | − | 0.266903i | ||||
\(646\) | −31.3011 | + | 39.2504i | −1.23153 | + | 1.54429i | ||||
\(647\) | −17.9746 | − | 8.65610i | −0.706654 | − | 0.340306i | 0.0458009 | − | 0.998951i | \(-0.485416\pi\) |
−0.752455 | + | 0.658644i | \(0.771130\pi\) | |||||||
\(648\) | 9.61998 | + | 12.0631i | 0.377909 | + | 0.473882i | ||||
\(649\) | −6.01434 | − | 26.3505i | −0.236083 | − | 1.03435i | ||||
\(650\) | −3.26797 | − | 4.09790i | −0.128180 | − | 0.160733i | ||||
\(651\) | 1.25938 | + | 31.8421i | 0.0493592 | + | 1.24799i | ||||
\(652\) | 0.638255 | − | 0.800347i | 0.0249960 | − | 0.0313440i | ||||
\(653\) | 28.0379 | + | 13.5023i | 1.09721 | + | 0.528387i | 0.892779 | − | 0.450494i | \(-0.148752\pi\) |
0.204428 | + | 0.978882i | \(0.434466\pi\) | |||||||
\(654\) | 6.65988 | + | 29.1788i | 0.260422 | + | 1.14098i | ||||
\(655\) | −53.9282 | −2.10715 | ||||||||
\(656\) | −8.60565 | −0.335994 | ||||||||
\(657\) | −0.451506 | − | 1.97818i | −0.0176149 | − | 0.0771760i | ||||
\(658\) | 36.1086 | + | 26.5307i | 1.40766 | + | 1.03428i | ||||
\(659\) | −7.23000 | + | 31.6767i | −0.281641 | + | 1.23395i | 0.614048 | + | 0.789268i | \(0.289540\pi\) |
−0.895689 | + | 0.444681i | \(0.853317\pi\) | |||||||
\(660\) | −12.0483 | + | 52.7869i | −0.468978 | + | 2.05473i | ||||
\(661\) | 5.25670 | − | 6.59169i | 0.204462 | − | 0.256387i | −0.669019 | − | 0.743245i | \(-0.733286\pi\) |
0.873481 | + | 0.486858i | \(0.161857\pi\) | |||||||
\(662\) | 14.9624 | − | 18.7623i | 0.581531 | − | 0.729217i | ||||
\(663\) | 3.09808 | − | 13.5736i | 0.120319 | − | 0.527154i | ||||
\(664\) | 2.19076 | − | 9.59836i | 0.0850181 | − | 0.372489i | ||||
\(665\) | 1.79078 | + | 45.2778i | 0.0694433 | + | 1.75580i | ||||
\(666\) | 20.0781 | + | 87.9678i | 0.778010 | + | 3.40868i | ||||
\(667\) | 7.77129 | 0.300905 | ||||||||
\(668\) | 0.183612 | 0.00710416 | ||||||||
\(669\) | −8.91681 | − | 39.0671i | −0.344744 | − | 1.51042i | ||||
\(670\) | −39.3434 | − | 18.9468i | −1.51997 | − | 0.731978i | ||||
\(671\) | −12.9639 | + | 16.2563i | −0.500467 | + | 0.627566i | ||||
\(672\) | −47.9745 | + | 12.9643i | −1.85066 | + | 0.500110i | ||||
\(673\) | 19.4865 | + | 24.4353i | 0.751149 | + | 0.941911i | 0.999643 | − | 0.0267227i | \(-0.00850712\pi\) |
−0.248494 | + | 0.968633i | \(0.579936\pi\) | |||||||
\(674\) | −13.1272 | − | 57.5141i | −0.505641 | − | 2.21536i | ||||
\(675\) | 17.9477 | + | 22.5057i | 0.690806 | + | 0.866243i | ||||
\(676\) | −1.12083 | − | 0.539765i | −0.0431090 | − | 0.0207602i | ||||
\(677\) | 9.94285 | − | 12.4679i | 0.382135 | − | 0.479182i | −0.553148 | − | 0.833083i | \(-0.686574\pi\) |
0.935283 | + | 0.353901i | \(0.115145\pi\) | |||||||
\(678\) | 28.2896 | − | 13.6236i | 1.08646 | − | 0.523210i | ||||
\(679\) | −4.83079 | + | 11.1370i | −0.185389 | + | 0.427397i | ||||
\(680\) | 15.7925 | + | 7.60525i | 0.605613 | + | 0.291648i | ||||
\(681\) | 26.3037 | − | 12.6672i | 1.00796 | − | 0.485408i | ||||
\(682\) | −8.07423 | + | 35.3755i | −0.309178 | + | 1.35460i | ||||
\(683\) | 6.69983 | − | 3.22647i | 0.256362 | − | 0.123457i | −0.301289 | − | 0.953533i | \(-0.597417\pi\) |
0.557651 | + | 0.830075i | \(0.311703\pi\) | |||||||
\(684\) | −29.5302 | − | 37.0297i | −1.12912 | − | 1.41587i | ||||
\(685\) | 23.7673 | 0.908100 | ||||||||
\(686\) | −28.3572 | − | 17.5662i | −1.08268 | − | 0.670682i | ||||
\(687\) | −48.5397 | −1.85190 | ||||||||
\(688\) | 5.62530 | + | 7.05391i | 0.214463 | + | 0.268928i | ||||
\(689\) | −6.48586 | + | 3.12343i | −0.247092 | + | 0.118993i | ||||
\(690\) | 26.4072 | − | 115.698i | 1.00531 | − | 4.40453i | ||||
\(691\) | −15.1270 | + | 7.28476i | −0.575457 | + | 0.277125i | −0.698892 | − | 0.715227i | \(-0.746323\pi\) |
0.123435 | + | 0.992353i | \(0.460609\pi\) | |||||||
\(692\) | 25.0406 | + | 12.0589i | 0.951900 | + | 0.458411i | ||||
\(693\) | −33.4888 | + | 77.2054i | −1.27213 | + | 2.93279i | ||||
\(694\) | 13.6621 | − | 6.57932i | 0.518606 | − | 0.249748i | ||||
\(695\) | 20.0416 | − | 25.1314i | 0.760221 | − | 0.953286i | ||||
\(696\) | −3.76502 | − | 1.81314i | −0.142713 | − | 0.0687268i | ||||
\(697\) | −4.97107 | − | 6.23352i | −0.188293 | − | 0.236111i | ||||
\(698\) | −13.5192 | − | 59.2314i | −0.511708 | − | 2.24194i | ||||
\(699\) | −22.5611 | − | 28.2908i | −0.853341 | − | 1.07006i | ||||
\(700\) | −9.24657 | + | 2.49874i | −0.349487 | + | 0.0944433i | ||||
\(701\) | 9.81838 | − | 12.3119i | 0.370835 | − | 0.465013i | −0.561042 | − | 0.827788i | \(-0.689599\pi\) |
0.931877 | + | 0.362775i | \(0.118171\pi\) | |||||||
\(702\) | 16.0519 | + | 7.73017i | 0.605838 | + | 0.291756i | ||||
\(703\) | 10.8578 | + | 47.5713i | 0.409511 | + | 1.79419i | ||||
\(704\) | −6.31523 | −0.238014 | ||||||||
\(705\) | 80.4393 | 3.02952 | ||||||||
\(706\) | 1.22390 | + | 5.36227i | 0.0460622 | + | 0.201812i | ||||
\(707\) | −0.699138 | − | 17.6769i | −0.0262938 | − | 0.664810i | ||||
\(708\) | −4.47326 | + | 19.5986i | −0.168115 | + | 0.736562i | ||||
\(709\) | 0.0358311 | − | 0.156987i | 0.00134567 | − | 0.00589575i | −0.974251 | − | 0.225468i | \(-0.927609\pi\) |
0.975596 | + | 0.219572i | \(0.0704661\pi\) | |||||||
\(710\) | 15.2417 | − | 19.1125i | 0.572011 | − | 0.717279i | ||||
\(711\) | 49.4458 | − | 62.0030i | 1.85436 | − | 2.32529i | ||||
\(712\) | −2.97776 | + | 13.0464i | −0.111596 | + | 0.488936i | ||||
\(713\) | 6.78650 | − | 29.7336i | 0.254156 | − | 1.11353i | ||||
\(714\) | −53.4654 | − | 39.2836i | −2.00089 | − | 1.47015i | ||||
\(715\) | −3.18401 | − | 13.9501i | −0.119075 | − | 0.521703i | ||||
\(716\) | −24.7282 | −0.924135 | ||||||||
\(717\) | −86.8977 | −3.24525 | ||||||||
\(718\) | −2.75456 | − | 12.0685i | −0.102799 | − | 0.450394i | ||||
\(719\) | −21.9173 | − | 10.5548i | −0.817377 | − | 0.393628i | −0.0220115 | − | 0.999758i | \(-0.507007\pi\) |
−0.795366 | + | 0.606129i | \(0.792721\pi\) | |||||||
\(720\) | −54.1636 | + | 67.9190i | −2.01856 | + | 2.53119i | ||||
\(721\) | 1.07118 | + | 27.0837i | 0.0398930 | + | 1.00865i | ||||
\(722\) | −20.3064 | − | 25.4634i | −0.755726 | − | 0.947651i | ||||
\(723\) | −3.27886 | − | 14.3656i | −0.121942 | − | 0.534263i | ||||
\(724\) | 11.0483 | + | 13.8542i | 0.410608 | + | 0.514886i | ||||
\(725\) | −2.64550 | − | 1.27401i | −0.0982514 | − | 0.0473154i | ||||
\(726\) | −50.8396 | + | 63.7508i | −1.88683 | + | 2.36601i | ||||
\(727\) | −23.2419 | + | 11.1927i | −0.861994 | + | 0.415115i | −0.812016 | − | 0.583636i | \(-0.801630\pi\) |
−0.0499788 | + | 0.998750i | \(0.515915\pi\) | |||||||
\(728\) | 2.72553 | − | 2.35563i | 0.101015 | − | 0.0873055i | ||||
\(729\) | 17.4941 | + | 8.42470i | 0.647929 | + | 0.312026i | ||||
\(730\) | 1.48120 | − | 0.713309i | 0.0548217 | − | 0.0264008i | ||||
\(731\) | −1.86005 | + | 8.14940i | −0.0687963 | + | 0.301416i | ||||
\(732\) | 13.9333 | − | 6.70992i | 0.514989 | − | 0.248006i | ||||
\(733\) | 0.679102 | + | 0.851567i | 0.0250832 | + | 0.0314533i | 0.794215 | − | 0.607637i | \(-0.207882\pi\) |
−0.769132 | + | 0.639090i | \(0.779311\pi\) | |||||||
\(734\) | −36.8304 | −1.35944 | ||||||||
\(735\) | −59.6964 | + | 4.72949i | −2.20194 | + | 0.174450i | ||||
\(736\) | 47.5607 | 1.75311 | ||||||||
\(737\) | −27.3446 | − | 34.2890i | −1.00725 | − | 1.26305i | ||||
\(738\) | 17.6722 | − | 8.51048i | 0.650523 | − | 0.313275i | ||||
\(739\) | 10.6268 | − | 46.5589i | 0.390912 | − | 1.71270i | −0.270540 | − | 0.962709i | \(-0.587202\pi\) |
0.661451 | − | 0.749988i | \(-0.269941\pi\) | |||||||
\(740\) | −25.2592 | + | 12.1642i | −0.928546 | + | 0.447164i | ||||
\(741\) | 16.6884 | + | 8.03669i | 0.613062 | + | 0.295235i | ||||
\(742\) | 1.35571 | + | 34.2776i | 0.0497696 | + | 1.25837i | ||||
\(743\) | −24.9982 | + | 12.0385i | −0.917096 | + | 0.441650i | −0.832033 | − | 0.554726i | \(-0.812823\pi\) |
−0.0850623 | + | 0.996376i | \(0.527109\pi\) | |||||||
\(744\) | −10.2251 | + | 12.8219i | −0.374871 | + | 0.470074i | ||||
\(745\) | 18.8173 | + | 9.06193i | 0.689412 | + | 0.332003i | ||||
\(746\) | 7.91175 | + | 9.92102i | 0.289670 | + | 0.363234i | ||||
\(747\) | 10.0594 | + | 44.0729i | 0.368052 | + | 1.61254i | ||||
\(748\) | −18.0625 | − | 22.6496i | −0.660429 | − | 0.828151i | ||||
\(749\) | 7.58273 | + | 14.2735i | 0.277067 | + | 0.521544i | ||||
\(750\) | 20.0775 | − | 25.1764i | 0.733127 | − | 0.919312i | ||||
\(751\) | −25.8562 | − | 12.4517i | −0.943506 | − | 0.454368i | −0.102101 | − | 0.994774i | \(-0.532557\pi\) |
−0.841405 | + | 0.540406i | \(0.818271\pi\) | |||||||
\(752\) | 10.3370 | + | 45.2896i | 0.376953 | + | 1.65154i | ||||
\(753\) | 62.0630 | 2.26170 | ||||||||
\(754\) | −1.81733 | −0.0661834 | ||||||||
\(755\) | −2.83345 | − | 12.4141i | −0.103120 | − | 0.451797i | ||||
\(756\) | 24.6325 | − | 21.2895i | 0.895875 | − | 0.774291i | ||||
\(757\) | 10.5427 | − | 46.1904i | 0.383179 | − | 1.67882i | −0.304270 | − | 0.952586i | \(-0.598413\pi\) |
0.687449 | − | 0.726232i | \(-0.258730\pi\) | |||||||
\(758\) | 3.04595 | − | 13.3452i | 0.110634 | − | 0.484719i | ||||
\(759\) | 74.3125 | − | 93.1849i | 2.69737 | − | 3.38240i | ||||
\(760\) | −14.5396 | + | 18.2320i | −0.527406 | + | 0.661346i | ||||
\(761\) | 0.495321 | − | 2.17014i | 0.0179554 | − | 0.0786677i | −0.965156 | − | 0.261674i | \(-0.915726\pi\) |
0.983112 | + | 0.183006i | \(0.0585827\pi\) | |||||||
\(762\) | 19.2441 | − | 84.3140i | 0.697141 | − | 3.05437i | ||||
\(763\) | −13.9533 | + | 3.77066i | −0.505145 | + | 0.136507i | ||||
\(764\) | −4.04033 | − | 17.7019i | −0.146174 | − | 0.640431i | ||||
\(765\) | −80.4849 | −2.90994 | ||||||||
\(766\) | −2.44207 | −0.0882355 | ||||||||
\(767\) | −1.18215 | − | 5.17936i | −0.0426851 | − | 0.187016i | ||||
\(768\) | −56.7286 | − | 27.3191i | −2.04702 | − | 0.985792i | ||||
\(769\) | −12.0915 | + | 15.1622i | −0.436030 | + | 0.546764i | −0.950492 | − | 0.310749i | \(-0.899420\pi\) |
0.514462 | + | 0.857513i | \(0.327992\pi\) | |||||||
\(770\) | −67.0242 | − | 12.5338i | −2.41538 | − | 0.451687i | ||||
\(771\) | −35.6070 | − | 44.6498i | −1.28236 | − | 1.60802i | ||||
\(772\) | −1.92849 | − | 8.44925i | −0.0694078 | − | 0.304095i | ||||
\(773\) | 26.5064 | + | 33.2380i | 0.953369 | + | 1.19549i | 0.980632 | + | 0.195859i | \(0.0627495\pi\) |
−0.0272627 | + | 0.999628i | \(0.508679\pi\) | |||||||
\(774\) | −18.5278 | − | 8.92251i | −0.665968 | − | 0.320713i | ||||
\(775\) | −7.18471 | + | 9.00934i | −0.258082 | + | 0.323625i | ||||
\(776\) | −5.62872 | + | 2.71065i | −0.202059 | + | 0.0973066i | ||||
\(777\) | −62.2515 | + | 16.8225i | −2.23326 | + | 0.603503i | ||||
\(778\) | 49.3476 | + | 23.7645i | 1.76920 | + | 0.852000i | ||||
\(779\) | 9.55679 | − | 4.60231i | 0.342408 | − | 0.164895i | ||||
\(780\) | −2.36816 | + | 10.3756i | −0.0847937 | + | 0.371506i | ||||
\(781\) | 22.1205 | − | 10.6527i | 0.791533 | − | 0.381182i | ||||
\(782\) | 39.5891 | + | 49.6431i | 1.41570 | + | 1.77523i | ||||
\(783\) | 9.98080 | 0.356685 | ||||||||
\(784\) | −10.3343 | − | 33.0030i | −0.369081 | − | 1.17868i | ||||
\(785\) | 20.4085 | 0.728410 | ||||||||
\(786\) | 65.4961 | + | 82.1295i | 2.33617 | + | 2.92946i | ||||
\(787\) | −24.8894 | + | 11.9861i | −0.887213 | + | 0.427259i | −0.821254 | − | 0.570563i | \(-0.806725\pi\) |
−0.0659592 | + | 0.997822i | \(0.521011\pi\) | |||||||
\(788\) | 4.93404 | − | 21.6174i | 0.175768 | − | 0.770089i | ||||
\(789\) | −87.7154 | + | 42.2415i | −3.12275 | + | 1.50384i | ||||
\(790\) | 57.8924 | + | 27.8795i | 2.05972 | + | 0.991908i | ||||
\(791\) | 7.11407 | + | 13.3913i | 0.252947 | + | 0.476141i | ||||
\(792\) | −39.0203 | + | 18.7912i | −1.38653 | + | 0.667716i | ||||
\(793\) | −2.54814 | + | 3.19527i | −0.0904871 | + | 0.113467i | ||||
\(794\) | −63.3680 | − | 30.5164i | −2.24885 | − | 1.08299i | ||||
\(795\) | 38.3969 | + | 48.1482i | 1.36180 | + | 1.70764i | ||||
\(796\) | 6.35514 | + | 27.8437i | 0.225252 | + | 0.986894i | ||||
\(797\) | −25.1523 | − | 31.5399i | −0.890939 | − | 1.11720i | −0.992484 | − | 0.122371i | \(-0.960950\pi\) |
0.101545 | − | 0.994831i | \(-0.467621\pi\) | |||||||
\(798\) | 66.7806 | − | 57.7174i | 2.36401 | − | 2.04318i | ||||
\(799\) | −26.8344 | + | 33.6492i | −0.949332 | + | 1.19042i | ||||
\(800\) | −16.1906 | − | 7.79699i | −0.572425 | − | 0.275665i | ||||
\(801\) | −13.6730 | − | 59.9055i | −0.483113 | − | 2.11666i | ||||
\(802\) | −24.6393 | −0.870045 | ||||||||
\(803\) | 1.65114 | 0.0582676 | ||||||||
\(804\) | 7.25854 | + | 31.8018i | 0.255989 | + | 1.12156i | ||||
\(805\) | 56.3347 | + | 10.5348i | 1.98554 | + | 0.371304i | ||||
\(806\) | −1.58704 | + | 6.95327i | −0.0559011 | + | 0.244919i | ||||
\(807\) | 6.19312 | − | 27.1338i | 0.218008 | − | 0.955156i | ||||
\(808\) | 5.67640 | − | 7.11798i | 0.199695 | − | 0.250410i | ||||
\(809\) | −16.8976 | + | 21.1889i | −0.594088 | + | 0.744963i | −0.984444 | − | 0.175701i | \(-0.943781\pi\) |
0.390355 | + | 0.920664i | \(0.372352\pi\) | |||||||
\(810\) | 12.7733 | − | 55.9634i | 0.448807 | − | 1.96635i | ||||
\(811\) | −5.11741 | + | 22.4208i | −0.179696 | + | 0.787302i | 0.802073 | + | 0.597226i | \(0.203730\pi\) |
−0.981769 | + | 0.190076i | \(0.939127\pi\) | |||||||
\(812\) | −1.32157 | + | 3.04675i | −0.0463779 | + | 0.106920i | ||||
\(813\) | −5.02246 | − | 22.0049i | −0.176146 | − | 0.771744i | ||||
\(814\) | −73.4249 | −2.57354 | ||||||||
\(815\) | 2.31433 | 0.0810673 | ||||||||
\(816\) | −15.3059 | − | 67.0595i | −0.535813 | − | 2.34755i | ||||
\(817\) | −10.0195 | − | 4.82513i | −0.350537 | − | 0.168810i | ||||
\(818\) | −11.0292 | + | 13.8302i | −0.385626 | + | 0.483560i | ||||
\(819\) | −6.58243 | + | 15.1752i | −0.230009 | + | 0.530265i | ||||
\(820\) | 3.79987 | + | 4.76488i | 0.132697 | + | 0.166397i | ||||
\(821\) | −2.79108 | − | 12.2285i | −0.0974095 | − | 0.426779i | 0.902584 | − | 0.430515i | \(-0.141668\pi\) |
−0.999993 | + | 0.00373587i | \(0.998811\pi\) | |||||||
\(822\) | −28.8655 | − | 36.1962i | −1.00680 | − | 1.26249i | ||||
\(823\) | 2.82267 | + | 1.35933i | 0.0983921 | + | 0.0473832i | 0.482433 | − | 0.875933i | \(-0.339753\pi\) |
−0.384040 | + | 0.923316i | \(0.625468\pi\) | |||||||
\(824\) | −8.69711 | + | 10.9058i | −0.302978 | + | 0.379922i | ||||
\(825\) | −40.5739 | + | 19.5394i | −1.41260 | + | 0.680274i | ||||
\(826\) | −24.8846 | − | 4.65354i | −0.865847 | − | 0.161917i | ||||
\(827\) | −21.1716 | − | 10.1957i | −0.736209 | − | 0.354539i | 0.0279141 | − | 0.999610i | \(-0.491114\pi\) |
−0.764123 | + | 0.645071i | \(0.776828\pi\) | |||||||
\(828\) | −53.9712 | + | 25.9912i | −1.87563 | + | 0.903256i | ||||
\(829\) | −4.22085 | + | 18.4928i | −0.146596 | + | 0.642281i | 0.847220 | + | 0.531243i | \(0.178275\pi\) |
−0.993816 | + | 0.111038i | \(0.964582\pi\) | |||||||
\(830\) | −33.0005 | + | 15.8922i | −1.14547 | + | 0.551627i | ||||
\(831\) | 55.1855 | + | 69.2004i | 1.91436 | + | 2.40054i | ||||
\(832\) | −1.24130 | −0.0430342 | ||||||||
\(833\) | 17.9362 | − | 26.5499i | 0.621451 | − | 0.919898i | ||||
\(834\) | −62.6142 | −2.16815 | ||||||||
\(835\) | 0.258815 | + | 0.324544i | 0.00895666 | + | 0.0112313i | ||||
\(836\) | 34.7248 | − | 16.7226i | 1.20098 | − | 0.578362i | ||||
\(837\) | 8.71602 | − | 38.1874i | 0.301270 | − | 1.31995i | ||||
\(838\) | −36.7605 | + | 17.7029i | −1.26987 | + | 0.611537i | ||||
\(839\) | 13.2830 | + | 6.39678i | 0.458582 | + | 0.220841i | 0.648889 | − | 0.760883i | \(-0.275234\pi\) |
−0.190307 | + | 0.981725i | \(0.560948\pi\) | |||||||
\(840\) | −24.8350 | − | 18.2475i | −0.856890 | − | 0.629598i | ||||
\(841\) | 25.2108 | − | 12.1409i | 0.869339 | − | 0.418652i | ||||
\(842\) | −19.3262 | + | 24.2342i | −0.666024 | + | 0.835167i | ||||
\(843\) | 26.1838 | + | 12.6095i | 0.901818 | + | 0.434293i | ||||
\(844\) | −10.1522 | − | 12.7305i | −0.349454 | − | 0.438202i | ||||
\(845\) | −0.625837 | − | 2.74197i | −0.0215295 | − | 0.0943267i | ||||
\(846\) | −66.0164 | − | 82.7820i | −2.26969 | − | 2.84610i | ||||
\(847\) | −31.7337 | − | 23.3163i | −1.09038 | − | 0.801156i | ||||
\(848\) | −22.1745 | + | 27.8059i | −0.761475 | + | 0.954859i | ||||
\(849\) | 21.5561 | + | 10.3809i | 0.739804 | + | 0.356271i | ||||
\(850\) | −5.33853 | − | 23.3896i | −0.183110 | − | 0.802258i | ||||
\(851\) | 61.7146 | 2.11555 | ||||||||
\(852\) | −18.2608 | −0.625606 | ||||||||
\(853\) | −2.17649 | − | 9.53584i | −0.0745217 | − | 0.326501i | 0.923902 | − | 0.382630i | \(-0.124981\pi\) |
−0.998424 | + | 0.0561286i | \(0.982124\pi\) | |||||||
\(854\) | 9.13689 | + | 17.1990i | 0.312658 | + | 0.588539i | ||||
\(855\) | 23.8269 | − | 104.393i | 0.814863 | − | 3.57015i | ||||
\(856\) | −1.85089 | + | 8.10929i | −0.0632622 | + | 0.277170i | ||||
\(857\) | 4.73938 | − | 5.94299i | 0.161894 | − | 0.203009i | −0.694267 | − | 0.719717i | \(-0.744271\pi\) |
0.856161 | + | 0.516709i | \(0.172843\pi\) | |||||||
\(858\) | −17.3782 | + | 21.7915i | −0.593280 | + | 0.743950i | ||||
\(859\) | −7.82316 | + | 34.2755i | −0.266923 | + | 1.16946i | 0.646649 | + | 0.762787i | \(0.276170\pi\) |
−0.913572 | + | 0.406677i | \(0.866687\pi\) | |||||||
\(860\) | 1.42181 | − | 6.22938i | 0.0484835 | − | 0.212420i | ||||
\(861\) | 6.57654 | + | 12.3795i | 0.224128 | + | 0.421893i | ||||
\(862\) | 13.1600 | + | 57.6578i | 0.448232 | + | 1.96383i | ||||
\(863\) | −37.8793 | −1.28943 | −0.644714 | − | 0.764424i | \(-0.723023\pi\) | ||||
−0.644714 | + | 0.764424i | \(0.723023\pi\) | |||||||
\(864\) | 61.0831 | 2.07809 | ||||||||
\(865\) | 13.9819 | + | 61.2585i | 0.475397 | + | 2.08285i | ||||
\(866\) | 31.2256 | + | 15.0375i | 1.06109 | + | 0.510994i | ||||
\(867\) | 7.49308 | − | 9.39603i | 0.254478 | − | 0.319106i | ||||
\(868\) | 10.5030 | + | 7.71708i | 0.356496 | + | 0.261935i | ||||
\(869\) | 40.2366 | + | 50.4551i | 1.36493 | + | 1.71157i | ||||
\(870\) | 3.45951 | + | 15.1571i | 0.117288 | + | 0.513874i | ||||
\(871\) | −5.37475 | − | 6.73972i | −0.182116 | − | 0.228367i | ||||
\(872\) | −6.70179 | − | 3.22741i | −0.226951 | − | 0.109294i | ||||
\(873\) | 17.8856 | − | 22.4278i | 0.605336 | − | 0.759067i | ||||
\(874\) | −76.1093 | + | 36.6523i | −2.57444 | + | 1.23978i | ||||
\(875\) | 12.5322 | + | 9.20803i | 0.423667 | + | 0.311288i | ||||
\(876\) | −1.10645 | − | 0.532837i | −0.0373834 | − | 0.0180029i | ||||
\(877\) | −9.61446 | + | 4.63008i | −0.324657 | + | 0.156347i | −0.589112 | − | 0.808051i | \(-0.700522\pi\) |
0.264455 | + | 0.964398i | \(0.414808\pi\) | |||||||
\(878\) | −1.67993 | + | 7.36026i | −0.0566950 | + | 0.248397i | ||||
\(879\) | 80.6137 | − | 38.8215i | 2.71903 | − | 1.30942i | ||||
\(880\) | −44.0757 | − | 55.2692i | −1.48579 | − | 1.86313i | ||||
\(881\) | −3.26993 | −0.110167 | −0.0550833 | − | 0.998482i | \(-0.517542\pi\) | ||||
−0.0550833 | + | 0.998482i | \(0.517542\pi\) | |||||||
\(882\) | 53.8600 | + | 57.5535i | 1.81356 | + | 1.93793i | ||||
\(883\) | −11.0271 | −0.371091 | −0.185545 | − | 0.982636i | \(-0.559405\pi\) | ||||
−0.185545 | + | 0.982636i | \(0.559405\pi\) | |||||||
\(884\) | −3.55029 | − | 4.45192i | −0.119409 | − | 0.149734i | ||||
\(885\) | −40.9470 | + | 19.7190i | −1.37642 | + | 0.662849i | ||||
\(886\) | −3.91573 | + | 17.1560i | −0.131552 | + | 0.576366i | ||||
\(887\) | −21.9349 | + | 10.5633i | −0.736502 | + | 0.354680i | −0.764238 | − | 0.644935i | \(-0.776885\pi\) |
0.0277360 | + | 0.999615i | \(0.491170\pi\) | |||||||
\(888\) | −29.8994 | − | 14.3988i | −1.00336 | − | 0.483192i | ||||
\(889\) | 41.0536 | + | 7.67720i | 1.37689 | + | 0.257485i | ||||
\(890\) | 44.8555 | − | 21.6013i | 1.50356 | − | 0.724076i | ||||
\(891\) | 35.9452 | − | 45.0739i | 1.20421 | − | 1.51003i | ||||
\(892\) | −14.7659 | − | 7.11090i | −0.494400 | − | 0.238091i | ||||
\(893\) | −35.7005 | − | 44.7670i | −1.19467 | − | 1.49807i | ||||
\(894\) | −9.05291 | − | 39.6634i | −0.302775 | − | 1.32654i | ||||
\(895\) | −34.8563 | − | 43.7084i | −1.16512 | − | 1.46101i | ||||
\(896\) | 10.6491 | − | 24.5506i | 0.355762 | − | 0.820177i | ||||
\(897\) | 14.6066 | − | 18.3161i | 0.487699 | − | 0.611556i | ||||
\(898\) | 2.68205 | + | 1.29160i | 0.0895010 | + | 0.0431014i | ||||
\(899\) | 0.889073 | + | 3.89528i | 0.0296523 | + | 0.129915i | ||||
\(900\) | 22.6338 | 0.754461 | ||||||||
\(901\) | −32.9504 | −1.09774 | ||||||||
\(902\) | 3.55176 | + | 15.5613i | 0.118261 | + | 0.518134i | ||||
\(903\) | 5.84836 | − | 13.4829i | 0.194621 | − | 0.448682i | ||||
\(904\) | −1.73650 | + | 7.60809i | −0.0577550 | + | 0.253041i | ||||
\(905\) | −8.91450 | + | 39.0570i | −0.296328 | + | 1.29830i | ||||
\(906\) | −15.4648 | + | 19.3922i | −0.513783 | + | 0.644263i | ||||
\(907\) | 10.7483 | − | 13.4780i | 0.356892 | − | 0.447528i | −0.570680 | − | 0.821172i | \(-0.693320\pi\) |
0.927572 | + | 0.373644i | \(0.121892\pi\) | |||||||
\(908\) | 2.65700 | − | 11.6411i | 0.0881755 | − | 0.386322i | ||||
\(909\) | −9.30228 | + | 40.7559i | −0.308537 | + | 1.35179i | ||||
\(910\) | −13.1740 | − | 2.46360i | −0.436714 | − | 0.0816675i | ||||
\(911\) | 5.67066 | + | 24.8448i | 0.187877 | + | 0.823145i | 0.977733 | + | 0.209852i | \(0.0672982\pi\) |
−0.789856 | + | 0.613293i | \(0.789845\pi\) | |||||||
\(912\) | 91.5103 | 3.03021 | ||||||||
\(913\) | −36.7868 | −1.21746 | ||||||||
\(914\) | 5.54709 | + | 24.3034i | 0.183481 | + | 0.803884i | ||||
\(915\) | 31.5002 | + | 15.1697i | 1.04136 | + | 0.501494i | ||||
\(916\) | −12.3777 | + | 15.5211i | −0.408970 | + | 0.512832i | ||||
\(917\) | −38.3821 | + | 33.1731i | −1.26749 | + | 1.09547i | ||||
\(918\) | 50.8449 | + | 63.7575i | 1.67813 | + | 2.10431i | ||||
\(919\) | −2.91411 | − | 12.7675i | −0.0961275 | − | 0.421162i | 0.903850 | − | 0.427849i | \(-0.140729\pi\) |
−0.999978 | + | 0.00668718i | \(0.997871\pi\) | |||||||
\(920\) | 18.3894 | + | 23.0595i | 0.606280 | + | 0.760251i | ||||
\(921\) | −28.2629 | − | 13.6107i | −0.931296 | − | 0.448488i | ||||
\(922\) | −28.9130 | + | 36.2557i | −0.952199 | + | 1.19402i | ||||
\(923\) | 4.34791 | − | 2.09385i | 0.143113 | − | 0.0689198i | ||||
\(924\) | 23.8960 | + | 44.9812i | 0.786120 | + | 1.47977i | ||||
\(925\) | −21.0089 | − | 10.1173i | −0.690768 | − | 0.332656i | ||||
\(926\) | 19.7310 | − | 9.50194i | 0.648400 | − | 0.312253i | ||||
\(927\) | 14.2525 | − | 62.4442i | 0.468113 | − | 2.05094i | ||||
\(928\) | −5.61371 | + | 2.70342i | −0.184279 | + | 0.0887442i | ||||
\(929\) | −18.0903 | − | 22.6845i | −0.593524 | − | 0.744255i | 0.390829 | − | 0.920463i | \(-0.372188\pi\) |
−0.984353 | + | 0.176208i | \(0.943617\pi\) | |||||||
\(930\) | 61.0135 | 2.00071 | ||||||||
\(931\) | 29.1265 | + | 31.1239i | 0.954582 | + | 1.02004i | ||||
\(932\) | −14.7994 | −0.484771 | ||||||||
\(933\) | 27.8498 | + | 34.9226i | 0.911762 | + | 1.14331i | ||||
\(934\) | −38.7026 | + | 18.6382i | −1.26639 | + | 0.609860i | ||||
\(935\) | 14.5740 | − | 63.8527i | 0.476620 | − | 2.08821i | ||||
\(936\) | −7.66968 | + | 3.69352i | −0.250691 | + | 0.120727i | ||||
\(937\) | 27.9010 | + | 13.4364i | 0.911484 | + | 0.438948i | 0.830023 | − | 0.557729i | \(-0.188327\pi\) |
0.0814611 | + | 0.996677i | \(0.474041\pi\) | |||||||
\(938\) | −39.6566 | + | 10.7165i | −1.29483 | + | 0.349908i | ||||
\(939\) | 50.3119 | − | 24.2289i | 1.64187 | − | 0.790681i | ||||
\(940\) | 20.5121 | − | 25.7214i | 0.669031 | − | 0.838939i | ||||
\(941\) | 51.8401 | + | 24.9649i | 1.68994 | + | 0.813831i | 0.995550 | + | 0.0942297i | \(0.0300388\pi\) |
0.694387 | + | 0.719601i | \(0.255675\pi\) | |||||||
\(942\) | −24.7862 | − | 31.0810i | −0.807579 | − | 1.01267i | ||||
\(943\) | −2.98530 | − | 13.0795i | −0.0972149 | − | 0.425926i | ||||
\(944\) | −16.3644 | − | 20.5203i | −0.532615 | − | 0.667878i | ||||
\(945\) | 72.3517 | + | 13.5301i | 2.35360 | + | 0.440134i | ||||
\(946\) | 10.4336 | − | 13.0834i | 0.339227 | − | 0.425377i | ||||
\(947\) | −23.3895 | − | 11.2638i | −0.760055 | − | 0.366023i | 0.0133702 | − | 0.999911i | \(-0.495744\pi\) |
−0.773425 | + | 0.633887i | \(0.781458\pi\) | |||||||
\(948\) | −10.6807 | − | 46.7951i | −0.346893 | − | 1.51984i | ||||
\(949\) | 0.324542 | 0.0105351 | ||||||||
\(950\) | 31.9178 | 1.03555 | ||||||||
\(951\) | −17.0698 | − | 74.7875i | −0.553525 | − | 2.42515i | ||||
\(952\) | 15.9182 | − | 4.30163i | 0.515911 | − | 0.139417i | ||||
\(953\) | 5.95563 | − | 26.0933i | 0.192922 | − | 0.845245i | −0.782103 | − | 0.623149i | \(-0.785853\pi\) |
0.975025 | − | 0.222096i | \(-0.0712899\pi\) | |||||||
\(954\) | 18.0382 | − | 79.0303i | 0.584007 | − | 2.55870i | ||||
\(955\) | 25.5938 | − | 32.0936i | 0.828196 | − | 1.03853i | ||||
\(956\) | −22.1590 | + | 27.7865i | −0.716673 | + | 0.898680i | ||||
\(957\) | −3.47452 | + | 15.2229i | −0.112315 | + | 0.492086i | ||||
\(958\) | 13.1289 | − | 57.5213i | 0.424175 | − | 1.85843i | ||||
\(959\) | 16.9158 | − | 14.6201i | 0.546240 | − | 0.472107i | ||||
\(960\) | 2.36296 | + | 10.3528i | 0.0762641 | + | 0.334135i | ||||
\(961\) | −15.3199 | −0.494191 | ||||||||
\(962\) | −14.4321 | −0.465310 | ||||||||
\(963\) | −8.49876 | − | 37.2355i | −0.273869 | − | 1.19990i | ||||
\(964\) | −5.42968 | − | 2.61480i | −0.174878 | − | 0.0842169i | ||||
\(965\) | 12.2162 | − | 15.3186i | 0.393252 | − | 0.493122i | ||||
\(966\) | −52.3749 | − | 98.5892i | −1.68513 | − | 3.17205i | ||||
\(967\) | −29.3175 | − | 36.7630i | −0.942787 | − | 1.18222i | −0.983107 | − | 0.183031i | \(-0.941409\pi\) |
0.0403199 | − | 0.999187i | \(-0.487162\pi\) | |||||||
\(968\) | −4.50950 | − | 19.7574i | −0.144941 | − | 0.635028i | ||||
\(969\) | 52.8611 | + | 66.2857i | 1.69814 | + | 2.12940i | ||||
\(970\) | 20.9409 | + | 10.0846i | 0.672373 | + | 0.323798i | ||||
\(971\) | 0.675188 | − | 0.846659i | 0.0216678 | − | 0.0271706i | −0.770880 | − | 0.636981i | \(-0.780183\pi\) |
0.792547 | + | 0.609810i | \(0.208754\pi\) | |||||||
\(972\) | −5.37195 | + | 2.58700i | −0.172305 | + | 0.0829779i | ||||
\(973\) | −1.19503 | − | 30.2149i | −0.0383108 | − | 0.968646i | ||||
\(974\) | −11.5300 | − | 5.55253i | −0.369443 | − | 0.177915i | ||||
\(975\) | −7.97506 | + | 3.84059i | −0.255406 | + | 0.122997i | ||||
\(976\) | −4.49295 | + | 19.6849i | −0.143816 | + | 0.630098i | ||||
\(977\) | 18.3367 | − | 8.83048i | 0.586643 | − | 0.282512i | −0.116925 | − | 0.993141i | \(-0.537304\pi\) |
0.703567 | + | 0.710629i | \(0.251589\pi\) | |||||||
\(978\) | −2.81076 | − | 3.52459i | −0.0898783 | − | 0.112704i | ||||
\(979\) | 50.0019 | 1.59807 | ||||||||
\(980\) | −13.7103 | + | 20.2946i | −0.437961 | + | 0.648288i | ||||
\(981\) | 34.1551 | 1.09049 | ||||||||
\(982\) | −17.7974 | − | 22.3172i | −0.567938 | − | 0.712171i | ||||
\(983\) | −6.57545 | + | 3.16657i | −0.209724 | + | 0.100998i | −0.535797 | − | 0.844347i | \(-0.679989\pi\) |
0.326073 | + | 0.945345i | \(0.394275\pi\) | |||||||
\(984\) | −1.60529 | + | 7.03323i | −0.0511747 | + | 0.224211i | ||||
\(985\) | 45.1649 | − | 21.7503i | 1.43907 | − | 0.693021i | ||||
\(986\) | −7.49459 | − | 3.60920i | −0.238676 | − | 0.114940i | ||||
\(987\) | 57.2508 | − | 49.4810i | 1.82231 | − | 1.57500i | ||||
\(988\) | 6.82537 | − | 3.28692i | 0.217144 | − | 0.104571i | ||||
\(989\) | −8.76961 | + | 10.9967i | −0.278857 | + | 0.349676i | ||||
\(990\) | 145.170 | + | 69.9102i | 4.61381 | + | 2.22189i | ||||
\(991\) | −14.4782 | − | 18.1551i | −0.459914 | − | 0.576714i | 0.496755 | − | 0.867891i | \(-0.334525\pi\) |
−0.956669 | + | 0.291177i | \(0.905953\pi\) | |||||||
\(992\) | 5.44118 | + | 23.8394i | 0.172758 | + | 0.756901i | ||||
\(993\) | −25.2684 | − | 31.6856i | −0.801869 | − | 1.00551i | ||||
\(994\) | −0.908823 | − | 22.9786i | −0.0288261 | − | 0.728837i | ||||
\(995\) | −40.2572 | + | 50.4809i | −1.27624 | + | 1.60035i | ||||
\(996\) | 24.6512 | + | 11.8714i | 0.781102 | + | 0.376159i | ||||
\(997\) | 1.74227 | + | 7.63340i | 0.0551784 | + | 0.241752i | 0.994995 | − | 0.0999279i | \(-0.0318612\pi\) |
−0.939816 | + | 0.341680i | \(0.889004\pi\) | |||||||
\(998\) | −2.36913 | −0.0749934 | ||||||||
\(999\) | 79.2612 | 2.50771 |
(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 | 637.2.w.b.547.7 | yes | 174 | |
49.43 | even | 7 | inner | 637.2.w.b.92.7 | ✓ | 174 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.w.b.92.7 | ✓ | 174 | 49.43 | even | 7 | inner | |
637.2.w.b.547.7 | yes | 174 | 1.1 | even | 1 | trivial |