Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [35,3,Mod(2,35)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(35, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("35.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 35 = 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 35.l (of order \(12\), degree \(4\), 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: | \(0.953680925261\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 18.3 | ||
Character | \(\chi\) | \(=\) | 35.18 |
Dual form | 35.3.l.a.2.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/35\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.23172 | − | 0.330037i | −0.615858 | − | 0.165019i | −0.0626137 | − | 0.998038i | \(-0.519944\pi\) |
−0.553244 | + | 0.833019i | \(0.686610\pi\) | |||||||
\(3\) | −4.01589 | + | 1.07605i | −1.33863 | + | 0.358685i | −0.855926 | − | 0.517099i | \(-0.827012\pi\) |
−0.482704 | + | 0.875784i | \(0.660345\pi\) | |||||||
\(4\) | −2.05590 | − | 1.18698i | −0.513976 | − | 0.296744i | ||||
\(5\) | −1.75247 | − | 4.68282i | −0.350494 | − | 0.936565i | ||||
\(6\) | 5.30157 | 0.883595 | ||||||||
\(7\) | −3.92739 | + | 5.79445i | −0.561055 | + | 0.827778i | ||||
\(8\) | 5.74725 | + | 5.74725i | 0.718407 | + | 0.718407i | ||||
\(9\) | 7.17525 | − | 4.14263i | 0.797250 | − | 0.460292i | ||||
\(10\) | 0.613038 | + | 6.34629i | 0.0613038 | + | 0.634629i | ||||
\(11\) | 2.98240 | − | 5.16566i | 0.271127 | − | 0.469605i | −0.698024 | − | 0.716075i | \(-0.745937\pi\) |
0.969151 | + | 0.246469i | \(0.0792704\pi\) | |||||||
\(12\) | 9.53353 | + | 2.55450i | 0.794461 | + | 0.212875i | ||||
\(13\) | −15.4106 | − | 15.4106i | −1.18543 | − | 1.18543i | −0.978318 | − | 0.207110i | \(-0.933594\pi\) |
−0.207110 | − | 0.978318i | \(-0.566406\pi\) | |||||||
\(14\) | 6.74980 | − | 5.84093i | 0.482129 | − | 0.417209i | ||||
\(15\) | 12.0767 | + | 16.9200i | 0.805113 | + | 1.12800i | ||||
\(16\) | −0.434268 | − | 0.752174i | −0.0271418 | − | 0.0470109i | ||||
\(17\) | −0.226943 | − | 0.846962i | −0.0133496 | − | 0.0498213i | 0.958930 | − | 0.283644i | \(-0.0915433\pi\) |
−0.972279 | + | 0.233822i | \(0.924877\pi\) | |||||||
\(18\) | −10.2051 | + | 2.73444i | −0.566949 | + | 0.151914i | ||||
\(19\) | −18.0198 | + | 10.4038i | −0.948412 | + | 0.547566i | −0.892587 | − | 0.450874i | \(-0.851112\pi\) |
−0.0558250 | + | 0.998441i | \(0.517779\pi\) | |||||||
\(20\) | −1.95549 | + | 11.7076i | −0.0977747 | + | 0.585379i | ||||
\(21\) | 9.53681 | − | 27.4959i | 0.454134 | − | 1.30933i | ||||
\(22\) | −5.37832 | + | 5.37832i | −0.244469 | + | 0.244469i | ||||
\(23\) | 3.12465 | − | 11.6614i | 0.135854 | − | 0.507015i | −0.864139 | − | 0.503254i | \(-0.832136\pi\) |
0.999993 | − | 0.00376143i | \(-0.00119730\pi\) | |||||||
\(24\) | −29.2647 | − | 16.8960i | −1.21936 | − | 0.703999i | ||||
\(25\) | −18.8577 | + | 16.4130i | −0.754308 | + | 0.656521i | ||||
\(26\) | 13.8954 | + | 24.0675i | 0.534437 | + | 0.925672i | ||||
\(27\) | 2.10122 | − | 2.10122i | 0.0778228 | − | 0.0778228i | ||||
\(28\) | 14.9522 | − | 7.25111i | 0.534007 | − | 0.258968i | ||||
\(29\) | − | 7.52964i | − | 0.259643i | −0.991537 | − | 0.129821i | \(-0.958560\pi\) | ||
0.991537 | − | 0.129821i | \(-0.0414404\pi\) | |||||||
\(30\) | −9.29084 | − | 24.8263i | −0.309695 | − | 0.827544i | ||||
\(31\) | −9.90283 | + | 17.1522i | −0.319446 | + | 0.553297i | −0.980373 | − | 0.197154i | \(-0.936830\pi\) |
0.660926 | + | 0.750451i | \(0.270164\pi\) | |||||||
\(32\) | −8.12792 | − | 30.3338i | −0.253997 | − | 0.947931i | ||||
\(33\) | −6.41844 | + | 23.9539i | −0.194498 | + | 0.725877i | ||||
\(34\) | 1.11811i | 0.0328857i | ||||||||
\(35\) | 34.0170 | + | 8.23666i | 0.971915 | + | 0.235333i | ||||
\(36\) | −19.6688 | −0.546356 | ||||||||
\(37\) | 13.4154 | + | 3.59463i | 0.362577 | + | 0.0971523i | 0.435508 | − | 0.900185i | \(-0.356569\pi\) |
−0.0729310 | + | 0.997337i | \(0.523235\pi\) | |||||||
\(38\) | 25.6289 | − | 6.86725i | 0.674446 | − | 0.180717i | ||||
\(39\) | 78.4697 | + | 45.3045i | 2.01204 | + | 1.16165i | ||||
\(40\) | 16.8415 | − | 36.9853i | 0.421037 | − | 0.924632i | ||||
\(41\) | 12.0569 | 0.294072 | 0.147036 | − | 0.989131i | \(-0.453027\pi\) | ||||
0.147036 | + | 0.989131i | \(0.453027\pi\) | |||||||
\(42\) | −20.8213 | + | 30.7197i | −0.495746 | + | 0.731421i | ||||
\(43\) | 12.3503 | + | 12.3503i | 0.287215 | + | 0.287215i | 0.835978 | − | 0.548763i | \(-0.184901\pi\) |
−0.548763 | + | 0.835978i | \(0.684901\pi\) | |||||||
\(44\) | −12.2630 | + | 7.08007i | −0.278705 | + | 0.160911i | ||||
\(45\) | −31.9736 | − | 26.3406i | −0.710525 | − | 0.585346i | ||||
\(46\) | −7.69736 | + | 13.3322i | −0.167334 | + | 0.289831i | ||||
\(47\) | −43.9302 | − | 11.7711i | −0.934686 | − | 0.250448i | −0.240834 | − | 0.970566i | \(-0.577421\pi\) |
−0.693852 | + | 0.720118i | \(0.744088\pi\) | |||||||
\(48\) | 2.55335 | + | 2.55335i | 0.0531949 | + | 0.0531949i | ||||
\(49\) | −18.1513 | − | 45.5141i | −0.370434 | − | 0.928859i | ||||
\(50\) | 28.6442 | − | 13.9924i | 0.572884 | − | 0.279849i | ||||
\(51\) | 1.82275 | + | 3.15710i | 0.0357403 | + | 0.0619039i | ||||
\(52\) | 13.3907 | + | 49.9746i | 0.257513 | + | 0.961050i | ||||
\(53\) | −9.78248 | + | 2.62121i | −0.184575 | + | 0.0494567i | −0.349923 | − | 0.936779i | \(-0.613792\pi\) |
0.165348 | + | 0.986235i | \(0.447125\pi\) | |||||||
\(54\) | −3.28158 | + | 1.89462i | −0.0607700 | + | 0.0350856i | ||||
\(55\) | −29.4164 | − | 4.91337i | −0.534844 | − | 0.0893340i | ||||
\(56\) | −55.8739 | + | 10.7305i | −0.997747 | + | 0.191616i | ||||
\(57\) | 61.1707 | − | 61.1707i | 1.07317 | − | 1.07317i | ||||
\(58\) | −2.48506 | + | 9.27437i | −0.0428459 | + | 0.159903i | ||||
\(59\) | 18.2765 | + | 10.5519i | 0.309771 | + | 0.178847i | 0.646824 | − | 0.762639i | \(-0.276097\pi\) |
−0.337053 | + | 0.941486i | \(0.609430\pi\) | |||||||
\(60\) | −4.74494 | − | 49.1206i | −0.0790824 | − | 0.818676i | ||||
\(61\) | −15.1204 | − | 26.1893i | −0.247876 | − | 0.429333i | 0.715061 | − | 0.699062i | \(-0.246399\pi\) |
−0.962936 | + | 0.269729i | \(0.913066\pi\) | |||||||
\(62\) | 17.8583 | − | 17.8583i | 0.288038 | − | 0.288038i | ||||
\(63\) | −4.17570 | + | 57.8463i | −0.0662810 | + | 0.918195i | ||||
\(64\) | 43.5193i | 0.679988i | ||||||||
\(65\) | −45.1584 | + | 99.1715i | −0.694745 | + | 1.52572i | ||||
\(66\) | 15.8114 | − | 27.3861i | 0.239566 | − | 0.414941i | ||||
\(67\) | −18.6717 | − | 69.6836i | −0.278682 | − | 1.04005i | −0.953334 | − | 0.301918i | \(-0.902373\pi\) |
0.674652 | − | 0.738136i | \(-0.264294\pi\) | |||||||
\(68\) | −0.538751 | + | 2.01065i | −0.00792281 | + | 0.0295683i | ||||
\(69\) | 50.1930i | 0.727435i | ||||||||
\(70\) | −39.1809 | − | 21.3721i | −0.559727 | − | 0.305316i | ||||
\(71\) | −128.667 | −1.81222 | −0.906108 | − | 0.423047i | \(-0.860960\pi\) | ||||
−0.906108 | + | 0.423047i | \(0.860960\pi\) | |||||||
\(72\) | 65.0467 | + | 17.4292i | 0.903427 | + | 0.242072i | ||||
\(73\) | 72.5481 | − | 19.4392i | 0.993810 | − | 0.266290i | 0.274960 | − | 0.961456i | \(-0.411335\pi\) |
0.718850 | + | 0.695165i | \(0.244669\pi\) | |||||||
\(74\) | −15.3375 | − | 8.85513i | −0.207264 | − | 0.119664i | ||||
\(75\) | 58.0691 | − | 86.2048i | 0.774255 | − | 1.14940i | ||||
\(76\) | 49.3961 | 0.649948 | ||||||||
\(77\) | 18.2191 | + | 37.5689i | 0.236612 | + | 0.487907i | ||||
\(78\) | −81.7002 | − | 81.7002i | −1.04744 | − | 1.04744i | ||||
\(79\) | −14.8579 | + | 8.57820i | −0.188074 | + | 0.108585i | −0.591081 | − | 0.806612i | \(-0.701299\pi\) |
0.403006 | + | 0.915197i | \(0.367965\pi\) | |||||||
\(80\) | −2.76126 | + | 3.35176i | −0.0345157 | + | 0.0418971i | ||||
\(81\) | −43.4609 | + | 75.2765i | −0.536554 | + | 0.929339i | ||||
\(82\) | −14.8507 | − | 3.97924i | −0.181106 | − | 0.0485273i | ||||
\(83\) | 4.42198 | + | 4.42198i | 0.0532769 | + | 0.0532769i | 0.733243 | − | 0.679966i | \(-0.238006\pi\) |
−0.679966 | + | 0.733243i | \(0.738006\pi\) | |||||||
\(84\) | −52.2438 | + | 45.2091i | −0.621950 | + | 0.538203i | ||||
\(85\) | −3.56846 | + | 2.54701i | −0.0419819 | + | 0.0299648i | ||||
\(86\) | −11.1360 | − | 19.2881i | −0.129488 | − | 0.224280i | ||||
\(87\) | 8.10230 | + | 30.2382i | 0.0931299 | + | 0.347565i | ||||
\(88\) | 46.8289 | − | 12.5478i | 0.532147 | − | 0.142588i | ||||
\(89\) | 94.1599 | − | 54.3633i | 1.05798 | − | 0.610823i | 0.133105 | − | 0.991102i | \(-0.457505\pi\) |
0.924872 | + | 0.380279i | \(0.124172\pi\) | |||||||
\(90\) | 30.6890 | + | 42.9966i | 0.340989 | + | 0.477740i | ||||
\(91\) | 149.819 | − | 28.7725i | 1.64636 | − | 0.316181i | ||||
\(92\) | −20.2657 | + | 20.2657i | −0.220280 | + | 0.220280i | ||||
\(93\) | 21.3120 | − | 79.5373i | 0.229161 | − | 0.855240i | ||||
\(94\) | 50.2247 | + | 28.9972i | 0.534305 | + | 0.308481i | ||||
\(95\) | 80.2982 | + | 66.1515i | 0.845244 | + | 0.696331i | ||||
\(96\) | 65.2816 | + | 113.071i | 0.680017 | + | 1.17782i | ||||
\(97\) | −55.4317 | + | 55.4317i | −0.571461 | + | 0.571461i | −0.932537 | − | 0.361076i | \(-0.882410\pi\) |
0.361076 | + | 0.932537i | \(0.382410\pi\) | |||||||
\(98\) | 7.33588 | + | 62.0510i | 0.0748559 | + | 0.633173i | ||||
\(99\) | − | 49.4198i | − | 0.499190i | ||||||
\(100\) | 58.2515 | − | 11.3599i | 0.582515 | − | 0.113599i | ||||
\(101\) | 80.0618 | − | 138.671i | 0.792691 | − | 1.37298i | −0.131605 | − | 0.991302i | \(-0.542013\pi\) |
0.924295 | − | 0.381678i | \(-0.124654\pi\) | |||||||
\(102\) | −1.20315 | − | 4.49023i | −0.0117956 | − | 0.0440218i | ||||
\(103\) | −32.1500 | + | 119.986i | −0.312136 | + | 1.16491i | 0.614490 | + | 0.788925i | \(0.289362\pi\) |
−0.926626 | + | 0.375984i | \(0.877305\pi\) | |||||||
\(104\) | − | 177.137i | − | 1.70324i | ||||||
\(105\) | −145.472 | + | 3.52664i | −1.38544 | + | 0.0335870i | ||||
\(106\) | 12.9143 | 0.121833 | ||||||||
\(107\) | −130.359 | − | 34.9296i | −1.21831 | − | 0.326445i | −0.408292 | − | 0.912852i | \(-0.633875\pi\) |
−0.810017 | + | 0.586407i | \(0.800542\pi\) | |||||||
\(108\) | −6.81399 | + | 1.82580i | −0.0630925 | + | 0.0169056i | ||||
\(109\) | −113.564 | − | 65.5664i | −1.04187 | − | 0.601527i | −0.121511 | − | 0.992590i | \(-0.538774\pi\) |
−0.920364 | + | 0.391064i | \(0.872107\pi\) | |||||||
\(110\) | 34.6111 | + | 15.7604i | 0.314646 | + | 0.143276i | ||||
\(111\) | −57.7426 | −0.520204 | ||||||||
\(112\) | 6.06397 | + | 0.437735i | 0.0541426 | + | 0.00390835i | ||||
\(113\) | −54.8723 | − | 54.8723i | −0.485596 | − | 0.485596i | 0.421317 | − | 0.906913i | \(-0.361568\pi\) |
−0.906913 | + | 0.421317i | \(0.861568\pi\) | |||||||
\(114\) | −95.5334 | + | 55.1562i | −0.838013 | + | 0.483827i | ||||
\(115\) | −60.0839 | + | 5.80398i | −0.522469 | + | 0.0504694i | ||||
\(116\) | −8.93750 | + | 15.4802i | −0.0770474 | + | 0.133450i | ||||
\(117\) | −174.415 | − | 46.7343i | −1.49072 | − | 0.399439i | ||||
\(118\) | −19.0289 | − | 19.0289i | −0.161262 | − | 0.161262i | ||||
\(119\) | 5.79897 | + | 2.01134i | 0.0487308 | + | 0.0169020i | ||||
\(120\) | −27.8354 | + | 166.651i | −0.231962 | + | 1.38876i | ||||
\(121\) | 42.7106 | + | 73.9770i | 0.352980 | + | 0.611380i | ||||
\(122\) | 9.98059 | + | 37.2481i | 0.0818081 | + | 0.305312i | ||||
\(123\) | −48.4193 | + | 12.9739i | −0.393653 | + | 0.105479i | ||||
\(124\) | 40.7185 | − | 23.5088i | 0.328375 | − | 0.189587i | ||||
\(125\) | 109.907 | + | 59.5440i | 0.879255 | + | 0.476352i | ||||
\(126\) | 24.2347 | − | 69.8720i | 0.192339 | − | 0.554540i | ||||
\(127\) | 119.378 | − | 119.378i | 0.939985 | − | 0.939985i | −0.0583136 | − | 0.998298i | \(-0.518572\pi\) |
0.998298 | + | 0.0583136i | \(0.0185723\pi\) | |||||||
\(128\) | −18.1487 | + | 67.7318i | −0.141787 | + | 0.529155i | ||||
\(129\) | −62.8868 | − | 36.3077i | −0.487495 | − | 0.281455i | ||||
\(130\) | 88.3526 | − | 107.247i | 0.679635 | − | 0.824978i | ||||
\(131\) | −25.8642 | − | 44.7981i | −0.197437 | − | 0.341970i | 0.750260 | − | 0.661143i | \(-0.229928\pi\) |
−0.947697 | + | 0.319173i | \(0.896595\pi\) | |||||||
\(132\) | 41.6285 | − | 41.6285i | 0.315367 | − | 0.315367i | ||||
\(133\) | 10.4868 | − | 145.275i | 0.0788482 | − | 1.09229i | ||||
\(134\) | 91.9927i | 0.686513i | ||||||||
\(135\) | −13.5219 | − | 6.15731i | −0.100163 | − | 0.0456097i | ||||
\(136\) | 3.56341 | − | 6.17200i | 0.0262015 | − | 0.0453824i | ||||
\(137\) | 50.6274 | + | 188.944i | 0.369543 | + | 1.37915i | 0.861157 | + | 0.508339i | \(0.169740\pi\) |
−0.491614 | + | 0.870813i | \(0.663593\pi\) | |||||||
\(138\) | 16.5656 | − | 61.8235i | 0.120040 | − | 0.447996i | ||||
\(139\) | 127.517i | 0.917386i | 0.888595 | + | 0.458693i | \(0.151682\pi\) | ||||
−0.888595 | + | 0.458693i | \(0.848318\pi\) | |||||||
\(140\) | −60.1590 | − | 57.3112i | −0.429707 | − | 0.409366i | ||||
\(141\) | 189.085 | 1.34103 | ||||||||
\(142\) | 158.481 | + | 42.4650i | 1.11607 | + | 0.299049i | ||||
\(143\) | −125.566 | + | 33.6453i | −0.878085 | + | 0.235282i | ||||
\(144\) | −6.23196 | − | 3.59802i | −0.0432775 | − | 0.0249863i | ||||
\(145\) | −35.2600 | + | 13.1955i | −0.243172 | + | 0.0910032i | ||||
\(146\) | −95.7743 | −0.655988 | ||||||||
\(147\) | 121.869 | + | 163.248i | 0.829042 | + | 1.11053i | ||||
\(148\) | −23.3139 | − | 23.3139i | −0.157527 | − | 0.157527i | ||||
\(149\) | 192.034 | − | 110.871i | 1.28882 | − | 0.744100i | 0.310375 | − | 0.950614i | \(-0.399545\pi\) |
0.978444 | + | 0.206514i | \(0.0662120\pi\) | |||||||
\(150\) | −99.9754 | + | 87.0148i | −0.666503 | + | 0.580099i | ||||
\(151\) | 33.2375 | − | 57.5691i | 0.220116 | − | 0.381252i | −0.734727 | − | 0.678363i | \(-0.762690\pi\) |
0.954843 | + | 0.297111i | \(0.0960231\pi\) | |||||||
\(152\) | −163.358 | − | 43.7715i | −1.07472 | − | 0.287971i | ||||
\(153\) | −5.13702 | − | 5.13702i | −0.0335753 | − | 0.0335753i | ||||
\(154\) | −10.0417 | − | 52.2872i | −0.0652056 | − | 0.339527i | ||||
\(155\) | 97.6752 | + | 16.3145i | 0.630162 | + | 0.105255i | ||||
\(156\) | −107.551 | − | 186.283i | −0.689428 | − | 1.19412i | ||||
\(157\) | 24.9966 | + | 93.2888i | 0.159214 | + | 0.594196i | 0.998708 | + | 0.0508258i | \(0.0161853\pi\) |
−0.839493 | + | 0.543370i | \(0.817148\pi\) | |||||||
\(158\) | 21.1318 | − | 5.66225i | 0.133746 | − | 0.0358370i | ||||
\(159\) | 36.4648 | − | 21.0530i | 0.229338 | − | 0.132409i | ||||
\(160\) | −127.804 | + | 91.2207i | −0.798774 | + | 0.570129i | ||||
\(161\) | 55.2994 | + | 63.9043i | 0.343475 | + | 0.396921i | ||||
\(162\) | 78.3755 | − | 78.3755i | 0.483799 | − | 0.483799i | ||||
\(163\) | 11.1914 | − | 41.7669i | 0.0686589 | − | 0.256238i | −0.923062 | − | 0.384651i | \(-0.874322\pi\) |
0.991721 | + | 0.128413i | \(0.0409883\pi\) | |||||||
\(164\) | −24.7879 | − | 14.3113i | −0.151146 | − | 0.0872641i | ||||
\(165\) | 123.420 | − | 11.9221i | 0.748001 | − | 0.0722554i | ||||
\(166\) | −3.98720 | − | 6.90604i | −0.0240193 | − | 0.0416026i | ||||
\(167\) | 133.439 | − | 133.439i | 0.799038 | − | 0.799038i | −0.183906 | − | 0.982944i | \(-0.558874\pi\) |
0.982944 | + | 0.183906i | \(0.0588743\pi\) | |||||||
\(168\) | 212.837 | − | 103.216i | 1.26688 | − | 0.614380i | ||||
\(169\) | 305.971i | 1.81048i | ||||||||
\(170\) | 5.23594 | − | 1.95946i | 0.0307996 | − | 0.0115263i | ||||
\(171\) | −86.1978 | + | 149.299i | −0.504081 | + | 0.873094i | ||||
\(172\) | −10.7315 | − | 40.0504i | −0.0623923 | − | 0.232851i | ||||
\(173\) | −57.9299 | + | 216.197i | −0.334855 | + | 1.24970i | 0.569171 | + | 0.822219i | \(0.307264\pi\) |
−0.904026 | + | 0.427477i | \(0.859402\pi\) | |||||||
\(174\) | − | 39.9189i | − | 0.229419i | ||||||
\(175\) | −21.0430 | − | 173.730i | −0.120246 | − | 0.992744i | ||||
\(176\) | −5.18064 | −0.0294354 | ||||||||
\(177\) | −84.7509 | − | 22.7089i | −0.478819 | − | 0.128299i | ||||
\(178\) | −133.920 | + | 35.8838i | −0.752360 | + | 0.201594i | ||||
\(179\) | −78.9406 | − | 45.5764i | −0.441009 | − | 0.254617i | 0.263016 | − | 0.964791i | \(-0.415283\pi\) |
−0.704026 | + | 0.710175i | \(0.748616\pi\) | |||||||
\(180\) | 34.4690 | + | 92.1056i | 0.191495 | + | 0.511698i | ||||
\(181\) | −146.339 | −0.808505 | −0.404253 | − | 0.914647i | \(-0.632468\pi\) | ||||
−0.404253 | + | 0.914647i | \(0.632468\pi\) | |||||||
\(182\) | −194.030 | − | 14.0063i | −1.06610 | − | 0.0769576i | ||||
\(183\) | 88.9030 | + | 88.9030i | 0.485809 | + | 0.485809i | ||||
\(184\) | 84.9789 | − | 49.0626i | 0.461842 | − | 0.266645i | ||||
\(185\) | −6.67697 | − | 69.1213i | −0.0360917 | − | 0.373628i | ||||
\(186\) | −52.5005 | + | 90.9336i | −0.282261 | + | 0.488890i | ||||
\(187\) | −5.05195 | − | 1.35367i | −0.0270158 | − | 0.00723885i | ||||
\(188\) | 76.3443 | + | 76.3443i | 0.406087 | + | 0.406087i | ||||
\(189\) | 3.92310 | + | 20.4277i | 0.0207572 | + | 0.108083i | ||||
\(190\) | −77.0721 | − | 107.981i | −0.405643 | − | 0.568322i | ||||
\(191\) | −42.2285 | − | 73.1419i | −0.221092 | − | 0.382942i | 0.734048 | − | 0.679097i | \(-0.237629\pi\) |
−0.955140 | + | 0.296156i | \(0.904295\pi\) | |||||||
\(192\) | −46.8291 | − | 174.769i | −0.243901 | − | 0.910253i | ||||
\(193\) | −104.151 | + | 27.9071i | −0.539641 | + | 0.144596i | −0.518337 | − | 0.855177i | \(-0.673449\pi\) |
−0.0213045 | + | 0.999773i | \(0.506782\pi\) | |||||||
\(194\) | 86.5706 | − | 49.9816i | 0.446240 | − | 0.257637i | ||||
\(195\) | 74.6372 | − | 446.855i | 0.382755 | − | 2.29156i | ||||
\(196\) | −16.7069 | + | 115.118i | −0.0852390 | + | 0.587335i | ||||
\(197\) | −49.0877 | + | 49.0877i | −0.249176 | + | 0.249176i | −0.820633 | − | 0.571456i | \(-0.806379\pi\) |
0.571456 | + | 0.820633i | \(0.306379\pi\) | |||||||
\(198\) | −16.3104 | + | 60.8712i | −0.0823757 | + | 0.307430i | ||||
\(199\) | −180.471 | − | 104.195i | −0.906891 | − | 0.523594i | −0.0274617 | − | 0.999623i | \(-0.508742\pi\) |
−0.879430 | + | 0.476029i | \(0.842076\pi\) | |||||||
\(200\) | −202.710 | − | 14.0502i | −1.01355 | − | 0.0702508i | ||||
\(201\) | 149.967 | + | 259.750i | 0.746103 | + | 1.29229i | ||||
\(202\) | −144.380 | + | 144.380i | −0.714752 | + | 0.714752i | ||||
\(203\) | 43.6301 | + | 29.5718i | 0.214927 | + | 0.145674i | ||||
\(204\) | − | 8.65426i | − | 0.0424228i | ||||||
\(205\) | −21.1294 | − | 56.4605i | −0.103070 | − | 0.275417i | ||||
\(206\) | 79.1994 | − | 137.177i | 0.384463 | − | 0.665910i | ||||
\(207\) | −25.8885 | − | 96.6174i | −0.125065 | − | 0.466751i | ||||
\(208\) | −4.89911 | + | 18.2837i | −0.0235534 | + | 0.0879026i | ||||
\(209\) | 124.112i | 0.593839i | ||||||||
\(210\) | 180.344 | + | 43.6672i | 0.858779 | + | 0.207939i | ||||
\(211\) | −297.303 | −1.40902 | −0.704509 | − | 0.709695i | \(-0.748833\pi\) | ||||
−0.704509 | + | 0.709695i | \(0.748833\pi\) | |||||||
\(212\) | 23.2231 | + | 6.22262i | 0.109543 | + | 0.0293520i | ||||
\(213\) | 516.714 | − | 138.453i | 2.42589 | − | 0.650014i | ||||
\(214\) | 149.037 | + | 86.0466i | 0.696435 | + | 0.402087i | ||||
\(215\) | 36.1907 | − | 79.4776i | 0.168329 | − | 0.369663i | ||||
\(216\) | 24.1524 | 0.111817 | ||||||||
\(217\) | −60.4953 | − | 124.745i | −0.278780 | − | 0.574861i | ||||
\(218\) | 118.240 | + | 118.240i | 0.542383 | + | 0.542383i | ||||
\(219\) | −270.428 | + | 156.131i | −1.23483 | + | 0.712929i | ||||
\(220\) | 54.6453 | + | 45.0180i | 0.248388 | + | 0.204627i | ||||
\(221\) | −9.55484 | + | 16.5495i | −0.0432346 | + | 0.0748845i | ||||
\(222\) | 71.1225 | + | 19.0572i | 0.320372 | + | 0.0858433i | ||||
\(223\) | −40.6433 | − | 40.6433i | −0.182257 | − | 0.182257i | 0.610082 | − | 0.792339i | \(-0.291137\pi\) |
−0.792339 | + | 0.610082i | \(0.791137\pi\) | |||||||
\(224\) | 207.689 | + | 72.0357i | 0.927183 | + | 0.321588i | ||||
\(225\) | −67.3155 | + | 195.888i | −0.299180 | + | 0.870613i | ||||
\(226\) | 49.4772 | + | 85.6970i | 0.218926 | + | 0.379190i | ||||
\(227\) | 15.6672 | + | 58.4709i | 0.0690186 | + | 0.257581i | 0.991811 | − | 0.127718i | \(-0.0407651\pi\) |
−0.922792 | + | 0.385299i | \(0.874098\pi\) | |||||||
\(228\) | −198.369 | + | 53.1528i | −0.870040 | + | 0.233126i | ||||
\(229\) | −12.9816 | + | 7.49491i | −0.0566881 | + | 0.0327289i | −0.528076 | − | 0.849197i | \(-0.677086\pi\) |
0.471388 | + | 0.881926i | \(0.343753\pi\) | |||||||
\(230\) | 75.9218 | + | 12.6811i | 0.330095 | + | 0.0551351i | ||||
\(231\) | −113.592 | − | 131.268i | −0.491741 | − | 0.568258i | ||||
\(232\) | 43.2747 | − | 43.2747i | 0.186529 | − | 0.186529i | ||||
\(233\) | 59.7065 | − | 222.828i | 0.256251 | − | 0.956341i | −0.711139 | − | 0.703051i | \(-0.751821\pi\) |
0.967390 | − | 0.253290i | \(-0.0815128\pi\) | |||||||
\(234\) | 199.405 | + | 115.127i | 0.852160 | + | 0.491995i | ||||
\(235\) | 21.8646 | + | 226.346i | 0.0930407 | + | 0.963175i | ||||
\(236\) | −25.0498 | − | 43.3876i | −0.106143 | − | 0.183846i | ||||
\(237\) | 50.4370 | − | 50.4370i | 0.212814 | − | 0.212814i | ||||
\(238\) | −6.47886 | − | 4.39127i | −0.0272221 | − | 0.0184507i | ||||
\(239\) | − | 382.834i | − | 1.60182i | −0.598786 | − | 0.800909i | \(-0.704350\pi\) | ||
0.598786 | − | 0.800909i | \(-0.295650\pi\) | |||||||
\(240\) | 7.48223 | − | 16.4316i | 0.0311760 | − | 0.0684649i | ||||
\(241\) | −140.302 | + | 243.009i | −0.582164 | + | 1.00834i | 0.413058 | + | 0.910705i | \(0.364461\pi\) |
−0.995222 | + | 0.0976334i | \(0.968873\pi\) | |||||||
\(242\) | −28.1922 | − | 105.215i | −0.116497 | − | 0.434771i | ||||
\(243\) | 86.6107 | − | 323.236i | 0.356423 | − | 1.33019i | ||||
\(244\) | 71.7903i | 0.294222i | ||||||||
\(245\) | −181.325 | + | 164.761i | −0.740101 | + | 0.672495i | ||||
\(246\) | 63.9207 | 0.259840 | ||||||||
\(247\) | 438.023 | + | 117.368i | 1.77337 | + | 0.475174i | ||||
\(248\) | −155.492 | + | 41.6640i | −0.626984 | + | 0.168000i | ||||
\(249\) | −22.5165 | − | 12.9999i | −0.0904276 | − | 0.0522084i | ||||
\(250\) | −115.722 | − | 109.615i | −0.462889 | − | 0.438458i | ||||
\(251\) | −20.4968 | −0.0816607 | −0.0408303 | − | 0.999166i | \(-0.513000\pi\) | ||||
−0.0408303 | + | 0.999166i | \(0.513000\pi\) | |||||||
\(252\) | 77.2470 | − | 113.970i | 0.306536 | − | 0.452262i | ||||
\(253\) | −50.9196 | − | 50.9196i | −0.201263 | − | 0.201263i | ||||
\(254\) | −186.439 | + | 107.641i | −0.734012 | + | 0.423782i | ||||
\(255\) | 11.5898 | − | 14.0684i | 0.0454503 | − | 0.0551700i | ||||
\(256\) | 131.747 | − | 228.192i | 0.514635 | − | 0.891374i | ||||
\(257\) | 359.460 | + | 96.3170i | 1.39868 | + | 0.374774i | 0.877869 | − | 0.478900i | \(-0.158964\pi\) |
0.520807 | + | 0.853674i | \(0.325631\pi\) | |||||||
\(258\) | 65.4758 | + | 65.4758i | 0.253782 | + | 0.253782i | ||||
\(259\) | −73.5162 | + | 63.6171i | −0.283846 | + | 0.245626i | ||||
\(260\) | 210.556 | − | 150.285i | 0.809829 | − | 0.578019i | ||||
\(261\) | −31.1925 | − | 54.0270i | −0.119512 | − | 0.207000i | ||||
\(262\) | 17.0723 | + | 63.7147i | 0.0651614 | + | 0.243186i | ||||
\(263\) | 327.017 | − | 87.6239i | 1.24341 | − | 0.333171i | 0.423623 | − | 0.905839i | \(-0.360758\pi\) |
0.819788 | + | 0.572668i | \(0.194091\pi\) | |||||||
\(264\) | −174.558 | + | 100.781i | −0.661204 | + | 0.381746i | ||||
\(265\) | 29.4182 | + | 41.2160i | 0.111012 | + | 0.155532i | ||||
\(266\) | −60.8628 | + | 175.476i | −0.228807 | + | 0.659684i | ||||
\(267\) | −319.638 | + | 319.638i | −1.19715 | + | 1.19715i | ||||
\(268\) | −44.3256 | + | 165.426i | −0.165394 | + | 0.617260i | ||||
\(269\) | −75.2656 | − | 43.4546i | −0.279798 | − | 0.161541i | 0.353534 | − | 0.935422i | \(-0.384980\pi\) |
−0.633332 | + | 0.773880i | \(0.718313\pi\) | |||||||
\(270\) | 14.6230 | + | 12.0468i | 0.0541594 | + | 0.0446177i | ||||
\(271\) | −99.4914 | − | 172.324i | −0.367127 | − | 0.635882i | 0.621988 | − | 0.783027i | \(-0.286325\pi\) |
−0.989115 | + | 0.147144i | \(0.952992\pi\) | |||||||
\(272\) | −0.538509 | + | 0.538509i | −0.00197981 | + | 0.00197981i | ||||
\(273\) | −570.695 | + | 276.760i | −2.09046 | + | 1.01377i | ||||
\(274\) | − | 249.434i | − | 0.910343i | ||||||
\(275\) | 28.5430 | + | 146.363i | 0.103793 | + | 0.532227i | ||||
\(276\) | 59.5779 | − | 103.192i | 0.215862 | − | 0.373884i | ||||
\(277\) | −96.5166 | − | 360.205i | −0.348435 | − | 1.30038i | −0.888547 | − | 0.458785i | \(-0.848285\pi\) |
0.540112 | − | 0.841593i | \(-0.318382\pi\) | |||||||
\(278\) | 42.0852 | − | 157.064i | 0.151386 | − | 0.564979i | ||||
\(279\) | 164.095i | 0.588154i | ||||||||
\(280\) | 148.166 | + | 242.843i | 0.529165 | + | 0.867295i | ||||
\(281\) | 119.086 | 0.423794 | 0.211897 | − | 0.977292i | \(-0.432036\pi\) | ||||
0.211897 | + | 0.977292i | \(0.432036\pi\) | |||||||
\(282\) | −232.899 | − | 62.4052i | −0.825884 | − | 0.221295i | ||||
\(283\) | 9.42015 | − | 2.52412i | 0.0332868 | − | 0.00891916i | −0.242137 | − | 0.970242i | \(-0.577848\pi\) |
0.275424 | + | 0.961323i | \(0.411182\pi\) | |||||||
\(284\) | 264.527 | + | 152.725i | 0.931435 | + | 0.537764i | ||||
\(285\) | −393.651 | − | 179.252i | −1.38123 | − | 0.628953i | ||||
\(286\) | 165.766 | 0.579601 | ||||||||
\(287\) | −47.3523 | + | 69.8633i | −0.164990 | + | 0.243426i | ||||
\(288\) | −183.981 | − | 183.981i | −0.638825 | − | 0.638825i | ||||
\(289\) | 249.616 | − | 144.116i | 0.863721 | − | 0.498670i | ||||
\(290\) | 47.7852 | − | 4.61596i | 0.164777 | − | 0.0159171i | ||||
\(291\) | 162.960 | − | 282.255i | 0.560000 | − | 0.969949i | ||||
\(292\) | −172.226 | − | 46.1478i | −0.589814 | − | 0.158040i | ||||
\(293\) | −26.5947 | − | 26.5947i | −0.0907669 | − | 0.0907669i | 0.660265 | − | 0.751032i | \(-0.270444\pi\) |
−0.751032 | + | 0.660265i | \(0.770444\pi\) | |||||||
\(294\) | −96.2303 | − | 241.296i | −0.327314 | − | 0.820735i | ||||
\(295\) | 17.3839 | − | 104.078i | 0.0589284 | − | 0.352806i | ||||
\(296\) | 56.4422 | + | 97.7608i | 0.190683 | + | 0.330273i | ||||
\(297\) | −4.58751 | − | 17.1208i | −0.0154462 | − | 0.0576458i | ||||
\(298\) | −273.123 | + | 73.1830i | −0.916519 | + | 0.245581i | ||||
\(299\) | −227.861 | + | 131.555i | −0.762076 | + | 0.439985i | ||||
\(300\) | −221.708 | + | 108.302i | −0.739025 | + | 0.361007i | ||||
\(301\) | −120.067 | + | 23.0587i | −0.398894 | + | 0.0766071i | ||||
\(302\) | −59.9391 | + | 59.9391i | −0.198474 | + | 0.198474i | ||||
\(303\) | −172.302 | + | 643.038i | −0.568652 | + | 2.12224i | ||||
\(304\) | 15.6509 | + | 9.03604i | 0.0514832 | + | 0.0297238i | ||||
\(305\) | −96.1419 | + | 116.702i | −0.315219 | + | 0.382630i | ||||
\(306\) | 4.63194 | + | 8.02275i | 0.0151370 | + | 0.0262181i | ||||
\(307\) | −66.6628 | + | 66.6628i | −0.217143 | + | 0.217143i | −0.807293 | − | 0.590151i | \(-0.799068\pi\) |
0.590151 | + | 0.807293i | \(0.299068\pi\) | |||||||
\(308\) | 7.13658 | − | 98.8637i | 0.0231707 | − | 0.320986i | ||||
\(309\) | − | 516.444i | − | 1.67134i | ||||||
\(310\) | −114.924 | − | 52.3312i | −0.370721 | − | 0.168810i | ||||
\(311\) | 108.760 | − | 188.377i | 0.349710 | − | 0.605715i | −0.636488 | − | 0.771287i | \(-0.719614\pi\) |
0.986198 | + | 0.165571i | \(0.0529469\pi\) | |||||||
\(312\) | 190.609 | + | 711.362i | 0.610926 | + | 2.28001i | ||||
\(313\) | 47.2552 | − | 176.359i | 0.150975 | − | 0.563447i | −0.848441 | − | 0.529290i | \(-0.822459\pi\) |
0.999416 | − | 0.0341576i | \(-0.0108748\pi\) | |||||||
\(314\) | − | 123.155i | − | 0.392213i | ||||||
\(315\) | 278.202 | − | 81.8199i | 0.883181 | − | 0.259746i | ||||
\(316\) | 40.7285 | 0.128888 | ||||||||
\(317\) | −478.934 | − | 128.330i | −1.51083 | − | 0.404826i | −0.594120 | − | 0.804376i | \(-0.702500\pi\) |
−0.916711 | + | 0.399550i | \(0.869166\pi\) | |||||||
\(318\) | −51.8625 | + | 13.8965i | −0.163090 | + | 0.0436997i | ||||
\(319\) | −38.8955 | − | 22.4564i | −0.121930 | − | 0.0703961i | ||||
\(320\) | 203.793 | − | 76.2662i | 0.636853 | − | 0.238332i | ||||
\(321\) | 561.093 | 1.74795 | ||||||||
\(322\) | −47.0224 | − | 96.9627i | −0.146032 | − | 0.301126i | ||||
\(323\) | 12.9011 | + | 12.9011i | 0.0399413 | + | 0.0399413i | ||||
\(324\) | 178.703 | − | 103.174i | 0.551552 | − | 0.318439i | ||||
\(325\) | 543.542 | + | 37.6738i | 1.67244 | + | 0.115919i | ||||
\(326\) | −27.5692 | + | 47.7513i | −0.0845682 | + | 0.146476i | ||||
\(327\) | 526.615 | + | 141.106i | 1.61044 | + | 0.431517i | ||||
\(328\) | 69.2943 | + | 69.2943i | 0.211263 | + | 0.211263i | ||||
\(329\) | 240.738 | − | 208.322i | 0.731726 | − | 0.633197i | ||||
\(330\) | −155.953 | − | 26.0486i | −0.472586 | − | 0.0789351i | ||||
\(331\) | 232.008 | + | 401.849i | 0.700930 | + | 1.21405i | 0.968140 | + | 0.250408i | \(0.0805648\pi\) |
−0.267210 | + | 0.963638i | \(0.586102\pi\) | |||||||
\(332\) | −3.84238 | − | 14.3400i | −0.0115734 | − | 0.0431926i | ||||
\(333\) | 111.150 | − | 29.7825i | 0.333783 | − | 0.0894369i | ||||
\(334\) | −208.399 | + | 120.319i | −0.623949 | + | 0.360237i | ||||
\(335\) | −293.595 | + | 209.555i | −0.876402 | + | 0.625536i | ||||
\(336\) | −24.8233 | + | 4.76727i | −0.0738788 | + | 0.0141883i | ||||
\(337\) | −85.3188 | + | 85.3188i | −0.253171 | + | 0.253171i | −0.822270 | − | 0.569098i | \(-0.807292\pi\) |
0.569098 | + | 0.822270i | \(0.307292\pi\) | |||||||
\(338\) | 100.982 | − | 376.869i | 0.298762 | − | 1.11500i | ||||
\(339\) | 279.407 | + | 161.316i | 0.824209 | + | 0.475857i | ||||
\(340\) | 10.3597 | − | 1.00072i | 0.0304696 | − | 0.00294330i | ||||
\(341\) | 59.0683 | + | 102.309i | 0.173221 | + | 0.300027i | ||||
\(342\) | 155.445 | − | 155.445i | 0.454519 | − | 0.454519i | ||||
\(343\) | 335.016 | + | 73.5747i | 0.976723 | + | 0.214503i | ||||
\(344\) | 141.960i | 0.412675i | ||||||||
\(345\) | 235.045 | − | 87.9617i | 0.681290 | − | 0.254962i | ||||
\(346\) | 142.706 | − | 247.175i | 0.412446 | − | 0.714378i | ||||
\(347\) | −2.74359 | − | 10.2392i | −0.00790660 | − | 0.0295078i | 0.961860 | − | 0.273543i | \(-0.0881955\pi\) |
−0.969766 | + | 0.244035i | \(0.921529\pi\) | |||||||
\(348\) | 19.2345 | − | 71.7840i | 0.0552715 | − | 0.206276i | ||||
\(349\) | − | 32.0826i | − | 0.0919272i | −0.998943 | − | 0.0459636i | \(-0.985364\pi\) | ||
0.998943 | − | 0.0459636i | \(-0.0146358\pi\) | |||||||
\(350\) | −31.4185 | + | 220.931i | −0.0897671 | + | 0.631232i | ||||
\(351\) | −64.7618 | −0.184507 | ||||||||
\(352\) | −180.935 | − | 48.4813i | −0.514019 | − | 0.137731i | ||||
\(353\) | −484.555 | + | 129.836i | −1.37268 | + | 0.367807i | −0.868455 | − | 0.495768i | \(-0.834887\pi\) |
−0.504221 | + | 0.863575i | \(0.668220\pi\) | |||||||
\(354\) | 96.8942 | + | 55.9419i | 0.273712 | + | 0.158028i | ||||
\(355\) | 225.486 | + | 602.526i | 0.635171 | + | 1.69726i | ||||
\(356\) | −258.112 | −0.725033 | ||||||||
\(357\) | −25.4523 | − | 1.83730i | −0.0712950 | − | 0.00514651i | ||||
\(358\) | 82.1905 | + | 82.1905i | 0.229582 | + | 0.229582i | ||||
\(359\) | −361.528 | + | 208.728i | −1.00704 | + | 0.581415i | −0.910324 | − | 0.413897i | \(-0.864167\pi\) |
−0.0967169 | + | 0.995312i | \(0.530834\pi\) | |||||||
\(360\) | −32.3745 | − | 335.147i | −0.0899291 | − | 0.930963i | ||||
\(361\) | 35.9763 | − | 62.3128i | 0.0996574 | − | 0.172612i | ||||
\(362\) | 180.249 | + | 48.2975i | 0.497924 | + | 0.133418i | ||||
\(363\) | −251.124 | − | 251.124i | −0.691803 | − | 0.691803i | ||||
\(364\) | −342.166 | − | 118.678i | −0.940015 | − | 0.326039i | ||||
\(365\) | −218.169 | − | 305.663i | −0.597723 | − | 0.837434i | ||||
\(366\) | −80.1619 | − | 138.844i | −0.219022 | − | 0.379356i | ||||
\(367\) | −86.0920 | − | 321.300i | −0.234583 | − | 0.875476i | −0.978336 | − | 0.207022i | \(-0.933623\pi\) |
0.743753 | − | 0.668454i | \(-0.233044\pi\) | |||||||
\(368\) | −10.1283 | + | 2.71387i | −0.0275226 | + | 0.00737465i | ||||
\(369\) | 86.5115 | − | 49.9475i | 0.234449 | − | 0.135359i | ||||
\(370\) | −14.5885 | + | 87.3414i | −0.0394283 | + | 0.236058i | ||||
\(371\) | 23.2311 | − | 66.9786i | 0.0626176 | − | 0.180535i | ||||
\(372\) | −138.224 | + | 138.224i | −0.371571 | + | 0.371571i | ||||
\(373\) | 108.916 | − | 406.480i | 0.292000 | − | 1.08976i | −0.651571 | − | 0.758587i | \(-0.725890\pi\) |
0.943571 | − | 0.331170i | \(-0.107443\pi\) | |||||||
\(374\) | 5.77580 | + | 3.33466i | 0.0154433 | + | 0.00891620i | ||||
\(375\) | −505.446 | − | 120.856i | −1.34786 | − | 0.322283i | ||||
\(376\) | −184.827 | − | 320.130i | −0.491561 | − | 0.851408i | ||||
\(377\) | −116.036 | + | 116.036i | −0.307788 | + | 0.307788i | ||||
\(378\) | 1.90974 | − | 26.4558i | 0.00505223 | − | 0.0699890i | ||||
\(379\) | 513.773i | 1.35560i | 0.735246 | + | 0.677801i | \(0.237067\pi\) | ||||
−0.735246 | + | 0.677801i | \(0.762933\pi\) | |||||||
\(380\) | −86.5651 | − | 231.313i | −0.227803 | − | 0.608719i | ||||
\(381\) | −350.952 | + | 607.866i | −0.921133 | + | 1.59545i | ||||
\(382\) | 27.8739 | + | 104.027i | 0.0729684 | + | 0.272322i | ||||
\(383\) | −37.5765 | + | 140.238i | −0.0981111 | + | 0.366155i | −0.997473 | − | 0.0710499i | \(-0.977365\pi\) |
0.899362 | + | 0.437205i | \(0.144032\pi\) | |||||||
\(384\) | − | 291.533i | − | 0.759199i | ||||||
\(385\) | 144.000 | − | 151.155i | 0.374026 | − | 0.392611i | ||||
\(386\) | 137.494 | 0.356203 | ||||||||
\(387\) | 139.779 | + | 37.4536i | 0.361185 | + | 0.0967793i | ||||
\(388\) | 179.758 | − | 48.1661i | 0.463295 | − | 0.124139i | ||||
\(389\) | −356.579 | − | 205.871i | −0.916655 | − | 0.529231i | −0.0340888 | − | 0.999419i | \(-0.510853\pi\) |
−0.882566 | + | 0.470188i | \(0.844186\pi\) | |||||||
\(390\) | −239.410 | + | 525.765i | −0.613873 | + | 1.34811i | ||||
\(391\) | −10.5858 | −0.0270737 | ||||||||
\(392\) | 157.261 | − | 365.901i | 0.401176 | − | 0.933421i | ||||
\(393\) | 152.073 | + | 152.073i | 0.386954 | + | 0.386954i | ||||
\(394\) | 76.6629 | − | 44.2613i | 0.194576 | − | 0.112338i | ||||
\(395\) | 66.2082 | + | 54.5438i | 0.167616 | + | 0.138086i | ||||
\(396\) | −58.6602 | + | 101.602i | −0.148132 | + | 0.256572i | ||||
\(397\) | 140.406 | + | 37.6216i | 0.353666 | + | 0.0947646i | 0.431278 | − | 0.902219i | \(-0.358063\pi\) |
−0.0776117 | + | 0.996984i | \(0.524729\pi\) | |||||||
\(398\) | 187.901 | + | 187.901i | 0.472113 | + | 0.472113i | ||||
\(399\) | 114.209 | + | 594.691i | 0.286239 | + | 1.49045i | ||||
\(400\) | 20.5348 | + | 7.05663i | 0.0513369 | + | 0.0176416i | ||||
\(401\) | 26.5072 | + | 45.9119i | 0.0661028 | + | 0.114493i | 0.897183 | − | 0.441660i | \(-0.145610\pi\) |
−0.831080 | + | 0.556153i | \(0.812277\pi\) | |||||||
\(402\) | −98.9891 | − | 369.432i | −0.246242 | − | 0.918986i | ||||
\(403\) | 416.933 | − | 111.717i | 1.03457 | − | 0.277213i | ||||
\(404\) | −329.198 | + | 190.063i | −0.814848 | + | 0.470453i | ||||
\(405\) | 428.671 | + | 71.6000i | 1.05845 | + | 0.176790i | ||||
\(406\) | −43.9801 | − | 50.8236i | −0.108325 | − | 0.125181i | ||||
\(407\) | 58.5786 | − | 58.5786i | 0.143928 | − | 0.143928i | ||||
\(408\) | −7.66884 | + | 28.6205i | −0.0187962 | + | 0.0701483i | ||||
\(409\) | −251.839 | − | 145.399i | −0.615742 | − | 0.355499i | 0.159467 | − | 0.987203i | \(-0.449022\pi\) |
−0.775209 | + | 0.631704i | \(0.782356\pi\) | |||||||
\(410\) | 7.39137 | + | 76.5168i | 0.0180277 | + | 0.186626i | ||||
\(411\) | −406.628 | − | 704.300i | −0.989362 | − | 1.71363i | ||||
\(412\) | 208.517 | − | 208.517i | 0.506110 | − | 0.506110i | ||||
\(413\) | −132.922 | + | 64.4607i | −0.321844 | + | 0.156079i | ||||
\(414\) | 127.549i | 0.308090i | ||||||||
\(415\) | 12.9580 | − | 28.4568i | 0.0312240 | − | 0.0685705i | ||||
\(416\) | −342.205 | + | 592.716i | −0.822608 | + | 1.42480i | ||||
\(417\) | −137.215 | − | 512.093i | −0.329053 | − | 1.22804i | ||||
\(418\) | 40.9617 | − | 152.871i | 0.0979945 | − | 0.365721i | ||||
\(419\) | − | 290.268i | − | 0.692764i | −0.938094 | − | 0.346382i | \(-0.887410\pi\) | ||
0.938094 | − | 0.346382i | \(-0.112590\pi\) | |||||||
\(420\) | 303.262 | + | 165.421i | 0.722052 | + | 0.393860i | ||||
\(421\) | 256.502 | 0.609268 | 0.304634 | − | 0.952470i | \(-0.401466\pi\) | ||||
0.304634 | + | 0.952470i | \(0.401466\pi\) | |||||||
\(422\) | 366.193 | + | 98.1210i | 0.867755 | + | 0.232514i | ||||
\(423\) | −363.973 | + | 97.5264i | −0.860457 | + | 0.230559i | ||||
\(424\) | −71.2871 | − | 41.1576i | −0.168130 | − | 0.0970699i | ||||
\(425\) | 18.1808 | + | 12.2469i | 0.0427784 | + | 0.0288163i | ||||
\(426\) | −682.139 | −1.60126 | ||||||||
\(427\) | 211.136 | + | 15.2411i | 0.494464 | + | 0.0356935i | ||||
\(428\) | 226.545 | + | 226.545i | 0.529310 | + | 0.529310i | ||||
\(429\) | 468.055 | − | 270.232i | 1.09104 | − | 0.629911i | ||||
\(430\) | −70.8071 | + | 85.9495i | −0.164668 | + | 0.199883i | ||||
\(431\) | −145.835 | + | 252.594i | −0.338364 | + | 0.586064i | −0.984125 | − | 0.177475i | \(-0.943207\pi\) |
0.645761 | + | 0.763540i | \(0.276540\pi\) | |||||||
\(432\) | −2.49297 | − | 0.667990i | −0.00577077 | − | 0.00154627i | ||||
\(433\) | −122.368 | − | 122.368i | −0.282605 | − | 0.282605i | 0.551542 | − | 0.834147i | \(-0.314040\pi\) |
−0.834147 | + | 0.551542i | \(0.814040\pi\) | |||||||
\(434\) | 33.3426 | + | 173.616i | 0.0768263 | + | 0.400036i | ||||
\(435\) | 127.401 | − | 90.9332i | 0.292876 | − | 0.209042i | ||||
\(436\) | 155.652 | + | 269.596i | 0.356999 | + | 0.618340i | ||||
\(437\) | 65.0162 | + | 242.644i | 0.148779 | + | 0.555249i | ||||
\(438\) | 384.619 | − | 103.058i | 0.878125 | − | 0.235293i | ||||
\(439\) | 752.706 | − | 434.575i | 1.71459 | − | 0.989921i | 0.786485 | − | 0.617609i | \(-0.211899\pi\) |
0.928108 | − | 0.372312i | \(-0.121435\pi\) | |||||||
\(440\) | −140.825 | − | 197.302i | −0.320058 | − | 0.448414i | ||||
\(441\) | −318.788 | − | 251.381i | −0.722875 | − | 0.570024i | ||||
\(442\) | 17.2308 | − | 17.2308i | 0.0389837 | − | 0.0389837i | ||||
\(443\) | 34.4919 | − | 128.725i | 0.0778597 | − | 0.290576i | −0.916007 | − | 0.401163i | \(-0.868606\pi\) |
0.993867 | + | 0.110586i | \(0.0352729\pi\) | |||||||
\(444\) | 118.713 | + | 68.5391i | 0.267372 | + | 0.154367i | ||||
\(445\) | −419.586 | − | 345.664i | −0.942890 | − | 0.776774i | ||||
\(446\) | 36.6472 | + | 63.4748i | 0.0821686 | + | 0.142320i | ||||
\(447\) | −651.884 | + | 651.884i | −1.45835 | + | 1.45835i | ||||
\(448\) | −252.170 | − | 170.917i | −0.562880 | − | 0.381511i | ||||
\(449\) | 758.129i | 1.68848i | 0.535963 | + | 0.844242i | \(0.319949\pi\) | ||||
−0.535963 | + | 0.844242i | \(0.680051\pi\) | |||||||
\(450\) | 147.564 | − | 219.062i | 0.327920 | − | 0.486803i | ||||
\(451\) | 35.9586 | − | 62.2821i | 0.0797307 | − | 0.138098i | ||||
\(452\) | 47.6801 | + | 177.944i | 0.105487 | + | 0.393682i | ||||
\(453\) | −71.5307 | + | 266.956i | −0.157905 | + | 0.589308i | ||||
\(454\) | − | 77.1902i | − | 0.170023i | ||||||
\(455\) | −397.290 | − | 651.153i | −0.873164 | − | 1.43111i | ||||
\(456\) | 703.127 | 1.54194 | ||||||||
\(457\) | −705.542 | − | 189.049i | −1.54386 | − | 0.413675i | −0.616347 | − | 0.787475i | \(-0.711388\pi\) |
−0.927509 | + | 0.373800i | \(0.878055\pi\) | |||||||
\(458\) | 18.4632 | − | 4.94720i | 0.0403126 | − | 0.0108017i | ||||
\(459\) | −2.25650 | − | 1.30279i | −0.00491613 | − | 0.00283833i | ||||
\(460\) | 130.416 | + | 59.3858i | 0.283513 | + | 0.129100i | ||||
\(461\) | 702.980 | 1.52490 | 0.762452 | − | 0.647045i | \(-0.223996\pi\) | ||||
0.762452 | + | 0.647045i | \(0.223996\pi\) | |||||||
\(462\) | 96.5900 | + | 199.174i | 0.209069 | + | 0.431113i | ||||
\(463\) | 618.405 | + | 618.405i | 1.33565 | + | 1.33565i | 0.900227 | + | 0.435420i | \(0.143400\pi\) |
0.435420 | + | 0.900227i | \(0.356600\pi\) | |||||||
\(464\) | −5.66360 | + | 3.26988i | −0.0122060 | + | 0.00704716i | ||||
\(465\) | −409.808 | + | 39.5866i | −0.881307 | + | 0.0851325i | ||||
\(466\) | −147.083 | + | 254.755i | −0.315628 | + | 0.546684i | ||||
\(467\) | −120.945 | − | 32.4072i | −0.258983 | − | 0.0693943i | 0.126991 | − | 0.991904i | \(-0.459468\pi\) |
−0.385974 | + | 0.922510i | \(0.626135\pi\) | |||||||
\(468\) | 303.108 | + | 303.108i | 0.647666 | + | 0.647666i | ||||
\(469\) | 477.109 | + | 165.482i | 1.01729 | + | 0.352841i | ||||
\(470\) | 47.7717 | − | 286.010i | 0.101642 | − | 0.608532i | ||||
\(471\) | −200.768 | − | 347.740i | −0.426258 | − | 0.738301i | ||||
\(472\) | 44.3950 | + | 165.684i | 0.0940572 | + | 0.351026i | ||||
\(473\) | 100.631 | − | 26.9639i | 0.212750 | − | 0.0570061i | ||||
\(474\) | −78.7701 | + | 45.4779i | −0.166182 | + | 0.0959450i | ||||
\(475\) | 169.056 | − | 491.951i | 0.355906 | − | 1.03569i | ||||
\(476\) | −9.53471 | − | 11.0184i | −0.0200309 | − | 0.0231478i | ||||
\(477\) | −59.3330 | + | 59.3330i | −0.124388 | + | 0.124388i | ||||
\(478\) | −126.350 | + | 471.543i | −0.264330 | + | 0.986492i | ||||
\(479\) | 644.603 | + | 372.161i | 1.34573 | + | 0.776955i | 0.987641 | − | 0.156734i | \(-0.0500966\pi\) |
0.358085 | + | 0.933689i | \(0.383430\pi\) | |||||||
\(480\) | 415.088 | − | 503.856i | 0.864767 | − | 1.04970i | ||||
\(481\) | −151.343 | − | 262.134i | −0.314642 | − | 0.544976i | ||||
\(482\) | 253.014 | − | 253.014i | 0.524925 | − | 0.524925i | ||||
\(483\) | −290.841 | − | 197.127i | −0.602155 | − | 0.408131i | ||||
\(484\) | − | 202.786i | − | 0.418980i | ||||||
\(485\) | 356.719 | + | 162.435i | 0.735504 | + | 0.334917i | ||||
\(486\) | −213.359 | + | 369.549i | −0.439011 | + | 0.760390i | ||||
\(487\) | 173.372 | + | 647.035i | 0.356001 | + | 1.32861i | 0.879220 | + | 0.476416i | \(0.158064\pi\) |
−0.523219 | + | 0.852198i | \(0.675269\pi\) | |||||||
\(488\) | 63.6158 | − | 237.417i | 0.130360 | − | 0.486511i | ||||
\(489\) | 179.774i | 0.367635i | ||||||||
\(490\) | 277.718 | − | 143.095i | 0.566771 | − | 0.292031i | ||||
\(491\) | −61.5033 | −0.125261 | −0.0626307 | − | 0.998037i | \(-0.519949\pi\) | ||||
−0.0626307 | + | 0.998037i | \(0.519949\pi\) | |||||||
\(492\) | 114.945 | + | 30.7995i | 0.233629 | + | 0.0626006i | ||||
\(493\) | −6.37731 | + | 1.70880i | −0.0129357 | + | 0.00346612i | ||||
\(494\) | −500.784 | − | 289.128i | −1.01373 | − | 0.585279i | ||||
\(495\) | −231.424 | + | 86.6068i | −0.467524 | + | 0.174963i | ||||
\(496\) | 17.2019 | 0.0346813 | ||||||||
\(497\) | 505.326 | − | 745.556i | 1.01675 | − | 1.50011i | ||||
\(498\) | 23.4434 | + | 23.4434i | 0.0470752 | + | 0.0470752i | ||||
\(499\) | −41.8687 | + | 24.1729i | −0.0839052 | + | 0.0484427i | −0.541366 | − | 0.840787i | \(-0.682092\pi\) |
0.457460 | + | 0.889230i | \(0.348759\pi\) | |||||||
\(500\) | −155.281 | − | 252.873i | −0.310561 | − | 0.505747i | ||||
\(501\) | −392.289 | + | 679.465i | −0.783013 | + | 1.35622i | ||||
\(502\) | 25.2463 | + | 6.76472i | 0.0502914 | + | 0.0134755i | ||||
\(503\) | −571.523 | − | 571.523i | −1.13623 | − | 1.13623i | −0.989120 | − | 0.147108i | \(-0.953003\pi\) |
−0.147108 | − | 0.989120i | \(-0.546997\pi\) | |||||||
\(504\) | −356.456 | + | 308.459i | −0.707254 | + | 0.612021i | ||||
\(505\) | −789.678 | − | 131.898i | −1.56372 | − | 0.261185i | ||||
\(506\) | 45.9131 | + | 79.5239i | 0.0907374 | + | 0.157162i | ||||
\(507\) | −329.241 | − | 1228.74i | −0.649391 | − | 2.42356i | ||||
\(508\) | −387.129 | + | 103.731i | −0.762064 | + | 0.204195i | ||||
\(509\) | −579.164 | + | 334.381i | −1.13785 | + | 0.656936i | −0.945897 | − | 0.324468i | \(-0.894815\pi\) |
−0.191950 | + | 0.981405i | \(0.561481\pi\) | |||||||
\(510\) | −18.9185 | + | 13.5031i | −0.0370950 | + | 0.0264767i | ||||
\(511\) | −172.285 | + | 496.722i | −0.337152 | + | 0.972058i | ||||
\(512\) | −39.2534 | + | 39.2534i | −0.0766668 | + | 0.0766668i | ||||
\(513\) | −16.0030 | + | 59.7241i | −0.0311950 | + | 0.116421i | ||||
\(514\) | −410.964 | − | 237.270i | −0.799541 | − | 0.461615i | ||||
\(515\) | 618.214 | − | 59.7182i | 1.20041 | − | 0.115958i | ||||
\(516\) | 86.1929 | + | 149.290i | 0.167040 | + | 0.289323i | ||||
\(517\) | −191.823 | + | 191.823i | −0.371030 | + | 0.371030i | ||||
\(518\) | 111.547 | − | 54.0951i | 0.215342 | − | 0.104431i | ||||
\(519\) | − | 930.561i | − | 1.79299i | ||||||
\(520\) | −829.501 | + | 310.427i | −1.59519 | + | 0.596975i | ||||
\(521\) | 478.134 | − | 828.153i | 0.917724 | − | 1.58954i | 0.114861 | − | 0.993382i | \(-0.463358\pi\) |
0.802863 | − | 0.596163i | \(-0.203309\pi\) | |||||||
\(522\) | 20.5894 | + | 76.8406i | 0.0394432 | + | 0.147204i | ||||
\(523\) | −232.525 | + | 867.796i | −0.444599 | + | 1.65927i | 0.272394 | + | 0.962186i | \(0.412184\pi\) |
−0.716993 | + | 0.697080i | \(0.754482\pi\) | |||||||
\(524\) | 122.801i | 0.234353i | ||||||||
\(525\) | 271.449 | + | 675.038i | 0.517046 | + | 1.28579i | ||||
\(526\) | −431.711 | −0.820743 | ||||||||
\(527\) | 16.7746 | + | 4.49475i | 0.0318304 | + | 0.00852893i | ||||
\(528\) | 20.8049 | − | 5.57465i | 0.0394031 | − | 0.0105580i | ||||
\(529\) | 331.904 | + | 191.625i | 0.627417 | + | 0.362239i | ||||
\(530\) | −22.6320 | − | 60.4755i | −0.0427018 | − | 0.114105i | ||||
\(531\) | 174.851 | 0.329287 | ||||||||
\(532\) | −193.997 | + | 286.223i | −0.364657 | + | 0.538013i | ||||
\(533\) | −185.804 | − | 185.804i | −0.348601 | − | 0.348601i | ||||
\(534\) | 499.196 | − | 288.211i | 0.934823 | − | 0.539720i | ||||
\(535\) | 64.8811 | + | 671.661i | 0.121273 | + | 1.25544i | ||||
\(536\) | 293.179 | − | 507.800i | 0.546975 | − | 0.947388i | ||||
\(537\) | 366.059 | + | 98.0853i | 0.681675 | + | 0.182654i | ||||
\(538\) | 78.3641 | + | 78.3641i | 0.145658 | + | 0.145658i | ||||
\(539\) | −289.245 | − | 41.9776i | −0.536632 | − | 0.0778805i | ||||
\(540\) | 20.4912 | + | 28.7090i | 0.0379467 | + | 0.0531649i | ||||
\(541\) | −454.145 | − | 786.602i | −0.839455 | − | 1.45398i | −0.890351 | − | 0.455275i | \(-0.849541\pi\) |
0.0508961 | − | 0.998704i | \(-0.483792\pi\) | |||||||
\(542\) | 65.6717 | + | 245.090i | 0.121165 | + | 0.452196i | ||||
\(543\) | 587.683 | − | 157.469i | 1.08229 | − | 0.289999i | ||||
\(544\) | −23.8470 | + | 13.7681i | −0.0438364 | + | 0.0253089i | ||||
\(545\) | −108.018 | + | 646.705i | −0.198198 | + | 1.18661i | ||||
\(546\) | 794.276 | − | 152.539i | 1.45472 | − | 0.279376i | ||||
\(547\) | 153.413 | − | 153.413i | 0.280462 | − | 0.280462i | −0.552831 | − | 0.833293i | \(-0.686453\pi\) |
0.833293 | + | 0.552831i | \(0.186453\pi\) | |||||||
\(548\) | 120.187 | − | 448.544i | 0.219319 | − | 0.818511i | ||||
\(549\) | −216.985 | − | 125.277i | −0.395237 | − | 0.228190i | ||||
\(550\) | 13.1482 | − | 189.697i | 0.0239059 | − | 0.344904i | ||||
\(551\) | 78.3365 | + | 135.683i | 0.142172 | + | 0.246248i | ||||
\(552\) | −288.472 | + | 288.472i | −0.522594 | + | 0.522594i | ||||
\(553\) | 8.64668 | − | 119.783i | 0.0156359 | − | 0.216606i | ||||
\(554\) | 475.524i | 0.858346i | ||||||||
\(555\) | 101.192 | + | 270.399i | 0.182328 | + | 0.487205i | ||||
\(556\) | 151.359 | − | 262.162i | 0.272229 | − | 0.471514i | ||||
\(557\) | 110.673 | + | 413.039i | 0.198696 | + | 0.741542i | 0.991279 | + | 0.131779i | \(0.0420688\pi\) |
−0.792584 | + | 0.609763i | \(0.791265\pi\) | |||||||
\(558\) | 54.1575 | − | 202.118i | 0.0970564 | − | 0.362219i | ||||
\(559\) | − | 380.649i | − | 0.680946i | ||||||
\(560\) | −8.57710 | − | 29.1636i | −0.0153162 | − | 0.0520779i | ||||
\(561\) | 21.7447 | 0.0387606 | ||||||||
\(562\) | −146.680 | − | 39.3028i | −0.260997 | − | 0.0699338i | ||||
\(563\) | −178.196 | + | 47.7474i | −0.316511 | + | 0.0848088i | −0.413577 | − | 0.910469i | \(-0.635721\pi\) |
0.0970662 | + | 0.995278i | \(0.469054\pi\) | |||||||
\(564\) | −388.741 | − | 224.440i | −0.689257 | − | 0.397943i | ||||
\(565\) | −160.795 | + | 353.120i | −0.284594 | + | 0.624990i | ||||
\(566\) | −12.4360 | −0.0219717 | ||||||||
\(567\) | −265.498 | − | 547.472i | −0.468251 | − | 0.965559i | ||||
\(568\) | −739.484 | − | 739.484i | −1.30191 | − | 1.30191i | ||||
\(569\) | −211.620 | + | 122.179i | −0.371916 | + | 0.214726i | −0.674295 | − | 0.738462i | \(-0.735552\pi\) |
0.302379 | + | 0.953188i | \(0.402219\pi\) | |||||||
\(570\) | 425.707 | + | 350.707i | 0.746854 | + | 0.615275i | ||||
\(571\) | −89.0175 | + | 154.183i | −0.155897 | + | 0.270022i | −0.933385 | − | 0.358875i | \(-0.883160\pi\) |
0.777488 | + | 0.628898i | \(0.216494\pi\) | |||||||
\(572\) | 298.088 | + | 79.8724i | 0.521133 | + | 0.139637i | ||||
\(573\) | 248.290 | + | 248.290i | 0.433315 | + | 0.433315i | ||||
\(574\) | 81.3820 | − | 70.4237i | 0.141780 | − | 0.122689i | ||||
\(575\) | 132.474 | + | 271.191i | 0.230390 | + | 0.471637i | ||||
\(576\) | 180.284 | + | 312.261i | 0.312993 | + | 0.542120i | ||||
\(577\) | 131.070 | + | 489.160i | 0.227158 | + | 0.847765i | 0.981528 | + | 0.191316i | \(0.0612756\pi\) |
−0.754370 | + | 0.656449i | \(0.772058\pi\) | |||||||
\(578\) | −355.019 | + | 95.1270i | −0.614219 | + | 0.164580i | ||||
\(579\) | 388.228 | − | 224.144i | 0.670515 | − | 0.387122i | ||||
\(580\) | 88.1538 | + | 14.7242i | 0.151989 | + | 0.0253865i | ||||
\(581\) | −42.9898 | + | 8.25612i | −0.0739927 | + | 0.0142102i | ||||
\(582\) | −293.875 | + | 293.875i | −0.504940 | + | 0.504940i | ||||
\(583\) | −15.6349 | + | 58.3504i | −0.0268181 | + | 0.100086i | ||||
\(584\) | 528.674 | + | 305.230i | 0.905264 | + | 0.522655i | ||||
\(585\) | 86.8082 | + | 898.655i | 0.148390 | + | 1.53616i | ||||
\(586\) | 23.9799 | + | 41.5343i | 0.0409213 | + | 0.0708777i | ||||
\(587\) | 178.183 | − | 178.183i | 0.303548 | − | 0.303548i | −0.538852 | − | 0.842400i | \(-0.681142\pi\) |
0.842400 | + | 0.538852i | \(0.181142\pi\) | |||||||
\(588\) | −56.7800 | − | 480.277i | −0.0965646 | − | 0.816798i | ||||
\(589\) | − | 412.107i | − | 0.699671i | ||||||
\(590\) | −55.7615 | + | 122.457i | −0.0945110 | + | 0.207554i | ||||
\(591\) | 144.310 | − | 249.952i | 0.244179 | − | 0.422931i | ||||
\(592\) | −3.12207 | − | 11.6517i | −0.00527377 | − | 0.0196820i | ||||
\(593\) | 235.528 | − | 879.002i | 0.397180 | − | 1.48230i | −0.420854 | − | 0.907128i | \(-0.638270\pi\) |
0.818034 | − | 0.575169i | \(-0.195064\pi\) | |||||||
\(594\) | 22.6020i | 0.0380505i | ||||||||
\(595\) | −0.743777 | − | 30.6804i | −0.00125005 | − | 0.0515636i | ||||
\(596\) | −526.405 | −0.883229 | ||||||||
\(597\) | 836.873 | + | 224.239i | 1.40180 | + | 0.375610i | ||||
\(598\) | 324.078 | − | 86.8363i | 0.541936 | − | 0.145211i | ||||
\(599\) | −3.19934 | − | 1.84714i | −0.00534113 | − | 0.00308371i | 0.497327 | − | 0.867563i | \(-0.334315\pi\) |
−0.502668 | + | 0.864479i | \(0.667648\pi\) | |||||||
\(600\) | 829.179 | − | 161.703i | 1.38196 | − | 0.269505i | ||||
\(601\) | 77.7927 | 0.129439 | 0.0647194 | − | 0.997904i | \(-0.479385\pi\) | ||||
0.0647194 | + | 0.997904i | \(0.479385\pi\) | |||||||
\(602\) | 155.499 | + | 11.2249i | 0.258304 | + | 0.0186459i | ||||
\(603\) | −422.647 | − | 422.647i | −0.700907 | − | 0.700907i | ||||
\(604\) | −136.666 | + | 78.9043i | −0.226269 | + | 0.130636i | ||||
\(605\) | 271.572 | − | 329.649i | 0.448880 | − | 0.544874i | ||||
\(606\) | 424.453 | − | 735.174i | 0.700418 | − | 1.21316i | ||||
\(607\) | −663.561 | − | 177.801i | −1.09318 | − | 0.292917i | −0.333197 | − | 0.942857i | \(-0.608127\pi\) |
−0.759985 | + | 0.649940i | \(0.774794\pi\) | |||||||
\(608\) | 462.049 | + | 462.049i | 0.759949 | + | 0.759949i | ||||
\(609\) | −207.035 | − | 71.8087i | −0.339958 | − | 0.117912i | ||||
\(610\) | 156.936 | − | 112.013i | 0.257271 | − | 0.183629i | ||||
\(611\) | 495.591 | + | 858.388i | 0.811114 | + | 1.40489i | ||||
\(612\) | 4.46369 | + | 16.6587i | 0.00729362 | + | 0.0272202i | ||||
\(613\) | −255.220 | + | 68.3861i | −0.416346 | + | 0.111560i | −0.460910 | − | 0.887447i | \(-0.652477\pi\) |
0.0445637 | + | 0.999007i | \(0.485810\pi\) | |||||||
\(614\) | 104.111 | − | 60.1084i | 0.169561 | − | 0.0978964i | ||||
\(615\) | 145.608 | + | 204.003i | 0.236761 | + | 0.331712i | ||||
\(616\) | −111.208 | + | 320.628i | −0.180532 | + | 0.520500i | ||||
\(617\) | 285.496 | − | 285.496i | 0.462717 | − | 0.462717i | −0.436828 | − | 0.899545i | \(-0.643898\pi\) |
0.899545 | + | 0.436828i | \(0.143898\pi\) | |||||||
\(618\) | −170.446 | + | 636.112i | −0.275802 | + | 1.02931i | ||||
\(619\) | −296.838 | − | 171.380i | −0.479545 | − | 0.276866i | 0.240682 | − | 0.970604i | \(-0.422629\pi\) |
−0.720227 | + | 0.693739i | \(0.755962\pi\) | |||||||
\(620\) | −181.446 | − | 149.479i | −0.292655 | − | 0.241095i | ||||
\(621\) | −17.9375 | − | 31.0686i | −0.0288848 | − | 0.0500299i | ||||
\(622\) | −196.133 | + | 196.133i | −0.315326 | + | 0.315326i | ||||
\(623\) | −54.7972 | + | 759.110i | −0.0879570 | + | 1.21848i | ||||
\(624\) | − | 78.6972i | − | 0.126117i | ||||||
\(625\) | 86.2254 | − | 619.024i | 0.137961 | − | 0.990438i | ||||
\(626\) | −116.410 | + | 201.628i | −0.185959 | + | 0.322090i | ||||
\(627\) | −133.552 | − | 498.422i | −0.213001 | − | 0.794931i | ||||
\(628\) | 59.3409 | − | 221.463i | 0.0944918 | − | 0.352648i | ||||
\(629\) | − | 12.1781i | − | 0.0193610i | ||||||
\(630\) | −369.669 | + | 8.96181i | −0.586776 | + | 0.0142251i | ||||
\(631\) | 651.848 | 1.03304 | 0.516520 | − | 0.856275i | \(-0.327227\pi\) | ||||
0.516520 | + | 0.856275i | \(0.327227\pi\) | |||||||
\(632\) | −134.693 | − | 36.0909i | −0.213122 | − | 0.0571059i | ||||
\(633\) | 1193.94 | − | 319.914i | 1.88615 | − | 0.505394i | ||||
\(634\) | 547.556 | + | 316.132i | 0.863653 | + | 0.498630i | ||||
\(635\) | −768.233 | − | 349.820i | −1.20982 | − | 0.550898i | ||||
\(636\) | −99.9574 | −0.157166 | ||||||||
\(637\) | −421.676 | + | 981.119i | −0.661972 | + | 1.54022i | ||||
\(638\) | 40.4968 | + | 40.4968i | 0.0634746 | + | 0.0634746i | ||||
\(639\) | −923.219 | + | 533.021i | −1.44479 | + | 0.834149i | ||||
\(640\) | 348.981 | − | 33.7109i | 0.545283 | − | 0.0526733i | ||||
\(641\) | 222.071 | − | 384.639i | 0.346445 | − | 0.600061i | −0.639170 | − | 0.769065i | \(-0.720722\pi\) |
0.985615 | + | 0.169005i | \(0.0540553\pi\) | |||||||
\(642\) | −691.107 | − | 185.182i | −1.07649 | − | 0.288445i | ||||
\(643\) | −251.202 | − | 251.202i | −0.390672 | − | 0.390672i | 0.484255 | − | 0.874927i | \(-0.339091\pi\) |
−0.874927 | + | 0.484255i | \(0.839091\pi\) | |||||||
\(644\) | −37.8374 | − | 197.020i | −0.0587537 | − | 0.305932i | ||||
\(645\) | −59.8155 | + | 358.116i | −0.0927371 | + | 0.555219i | ||||
\(646\) | −11.6326 | − | 20.1482i | −0.0180071 | − | 0.0311892i | ||||
\(647\) | 64.2707 | + | 239.862i | 0.0993365 | + | 0.370729i | 0.997641 | − | 0.0686441i | \(-0.0218673\pi\) |
−0.898305 | + | 0.439373i | \(0.855201\pi\) | |||||||
\(648\) | −682.414 | + | 182.852i | −1.05311 | + | 0.282179i | ||||
\(649\) | 109.016 | − | 62.9401i | 0.167975 | − | 0.0969802i | ||||
\(650\) | −657.055 | − | 225.792i | −1.01085 | − | 0.347373i | ||||
\(651\) | 377.175 | + | 435.865i | 0.579377 | + | 0.669531i | ||||
\(652\) | −72.5847 | + | 72.5847i | −0.111326 | + | 0.111326i | ||||
\(653\) | −195.601 | + | 729.993i | −0.299542 | + | 1.11791i | 0.638000 | + | 0.770036i | \(0.279762\pi\) |
−0.937543 | + | 0.347870i | \(0.886905\pi\) | |||||||
\(654\) | −602.069 | − | 347.605i | −0.920595 | − | 0.531506i | ||||
\(655\) | −164.456 | + | 199.625i | −0.251077 | + | 0.304771i | ||||
\(656\) | −5.23595 | − | 9.06892i | −0.00798162 | − | 0.0138246i | ||||
\(657\) | 440.021 | − | 440.021i | 0.669743 | − | 0.669743i | ||||
\(658\) | −365.274 | + | 177.141i | −0.555128 | + | 0.269211i | ||||
\(659\) | − | 587.795i | − | 0.891950i | −0.895045 | − | 0.445975i | \(-0.852857\pi\) | ||
0.895045 | − | 0.445975i | \(-0.147143\pi\) | |||||||
\(660\) | −267.891 | − | 121.986i | −0.405896 | − | 0.184827i | ||||
\(661\) | −87.0160 | + | 150.716i | −0.131643 | + | 0.228012i | −0.924310 | − | 0.381642i | \(-0.875359\pi\) |
0.792667 | + | 0.609655i | \(0.208692\pi\) | |||||||
\(662\) | −153.142 | − | 571.535i | −0.231333 | − | 0.863346i | ||||
\(663\) | 20.5630 | − | 76.7423i | 0.0310152 | − | 0.115750i | ||||
\(664\) | 50.8285i | 0.0765489i | ||||||||
\(665\) | −698.673 | + | 205.481i | −1.05064 | + | 0.308995i | ||||
\(666\) | −146.734 | −0.220322 | ||||||||
\(667\) | −87.8058 | − | 23.5275i | −0.131643 | − | 0.0352736i | ||||
\(668\) | −432.728 | + | 115.949i | −0.647796 | + | 0.173576i | ||||
\(669\) | 206.954 | + | 119.485i | 0.309348 | + | 0.178602i | ||||
\(670\) | 430.786 | − | 161.214i | 0.642964 | − | 0.240619i | ||||
\(671\) | −180.380 | −0.268823 | ||||||||
\(672\) | −911.571 | − | 65.8027i | −1.35650 | − | 0.0979207i | ||||
\(673\) | 280.346 | + | 280.346i | 0.416562 | + | 0.416562i | 0.884017 | − | 0.467455i | \(-0.154829\pi\) |
−0.467455 | + | 0.884017i | \(0.654829\pi\) | |||||||
\(674\) | 133.247 | − | 76.9301i | 0.197696 | − | 0.114140i | ||||
\(675\) | −5.13679 | + | 74.1114i | −0.00761006 | + | 0.109795i | ||||
\(676\) | 363.180 | − | 629.046i | 0.537249 | − | 0.930542i | ||||
\(677\) | −334.663 | − | 89.6728i | −0.494333 | − | 0.132456i | 0.00303575 | − | 0.999995i | \(-0.499034\pi\) |
−0.497369 | + | 0.867539i | \(0.665700\pi\) | |||||||
\(678\) | −290.910 | − | 290.910i | −0.429070 | − | 0.429070i | ||||
\(679\) | −103.495 | − | 538.898i | −0.152422 | − | 0.793664i | ||||
\(680\) | −35.1472 | − | 5.87056i | −0.0516870 | − | 0.00863318i | ||||
\(681\) | −125.836 | − | 217.954i | −0.184781 | − | 0.320050i | ||||
\(682\) | −38.9895 | − | 145.511i | −0.0571693 | − | 0.213359i | ||||
\(683\) | −391.865 | + | 105.000i | −0.573741 | + | 0.153733i | −0.534012 | − | 0.845477i | \(-0.679316\pi\) |
−0.0397293 | + | 0.999210i | \(0.512650\pi\) | |||||||
\(684\) | 354.429 | − | 204.630i | 0.518171 | − | 0.299166i | ||||
\(685\) | 796.068 | − | 568.198i | 1.16214 | − | 0.829486i | ||||
\(686\) | −388.362 | − | 201.191i | −0.566125 | − | 0.293281i | ||||
\(687\) | 44.0676 | − | 44.0676i | 0.0641450 | − | 0.0641450i | ||||
\(688\) | 3.92623 | − | 14.6529i | 0.00570673 | − | 0.0212978i | ||||
\(689\) | 191.148 | + | 110.359i | 0.277428 | + | 0.160173i | ||||
\(690\) | −318.539 | + | 30.7702i | −0.461651 | + | 0.0445945i | ||||
\(691\) | 207.562 | + | 359.508i | 0.300380 | + | 0.520273i | 0.976222 | − | 0.216773i | \(-0.0695533\pi\) |
−0.675842 | + | 0.737046i | \(0.736220\pi\) | |||||||
\(692\) | 375.720 | − | 375.720i | 0.542948 | − | 0.542948i | ||||
\(693\) | 286.361 | + | 194.091i | 0.413219 | + | 0.280073i | ||||
\(694\) | 13.5173i | 0.0194774i | ||||||||
\(695\) | 597.138 | − | 223.469i | 0.859192 | − | 0.321538i | ||||
\(696\) | −127.221 | + | 220.353i | −0.182788 | + | 0.316599i | ||||
\(697\) | −2.73623 | − | 10.2118i | −0.00392573 | − | 0.0146510i | ||||
\(698\) | −10.5884 | + | 39.5166i | −0.0151697 | + | 0.0566140i | ||||
\(699\) | 959.098i | 1.37210i | ||||||||
\(700\) | −162.951 | + | 382.150i | −0.232788 | + | 0.545929i | ||||
\(701\) | −13.0606 | −0.0186314 | −0.00931568 | − | 0.999957i | \(-0.502965\pi\) | ||||
−0.00931568 | + | 0.999957i | \(0.502965\pi\) | |||||||
\(702\) | 79.7681 | + | 21.3738i | 0.113630 | + | 0.0304470i | ||||
\(703\) | −279.140 | + | 74.7954i | −0.397070 | + | 0.106395i | ||||
\(704\) | 224.806 | + | 129.792i | 0.319326 | + | 0.184363i | ||||
\(705\) | −331.366 | − | 885.453i | −0.470023 | − | 1.25596i | ||||
\(706\) | 639.684 | 0.906068 | ||||||||
\(707\) | 489.089 | + | 1008.53i | 0.691780 | + | 1.42649i | ||||
\(708\) | 147.285 | + | 147.285i | 0.208029 | + | 0.208029i | ||||
\(709\) | −201.983 | + | 116.615i | −0.284885 | + | 0.164478i | −0.635633 | − | 0.771992i | \(-0.719261\pi\) |
0.350748 | + | 0.936470i | \(0.385927\pi\) | |||||||
\(710\) | −78.8780 | − | 816.559i | −0.111096 | − | 1.15008i | ||||
\(711\) | −71.0726 | + | 123.101i | −0.0999615 | + | 0.173138i | ||||
\(712\) | 853.601 | + | 228.722i | 1.19888 | + | 0.321238i | ||||
\(713\) | 169.075 | + | 169.075i | 0.237132 | + | 0.237132i | ||||
\(714\) | 30.7436 | + | 10.6632i | 0.0430583 | + | 0.0149345i | ||||
\(715\) | 377.606 | + | 529.042i | 0.528120 | + | 0.739918i | ||||
\(716\) | 108.196 | + | 187.401i | 0.151112 | + | 0.261734i | ||||
\(717\) | 411.951 | + | 1537.42i | 0.574548 | + | 2.14424i | ||||
\(718\) | 514.187 | − | 137.776i | 0.716138 | − | 0.191889i | ||||
\(719\) | 154.548 | − | 89.2281i | 0.214948 | − | 0.124100i | −0.388661 | − | 0.921381i | \(-0.627062\pi\) |
0.603609 | + | 0.797281i | \(0.293729\pi\) | |||||||
\(720\) | −5.92759 | + | 35.4886i | −0.00823277 | + | 0.0492897i | ||||
\(721\) | −568.985 | − | 657.522i | −0.789161 | − | 0.911958i | ||||
\(722\) | −64.8781 | + | 64.8781i | −0.0898589 | + | 0.0898589i | ||||
\(723\) | 301.944 | − | 1126.87i | 0.417627 | − | 1.55860i | ||||
\(724\) | 300.860 | + | 173.701i | 0.415552 | + | 0.239919i | ||||
\(725\) | 123.584 | + | 141.992i | 0.170461 | + | 0.195851i | ||||
\(726\) | 226.433 | + | 392.194i | 0.311892 | + | 0.540212i | ||||
\(727\) | 536.560 | − | 536.560i | 0.738047 | − | 0.738047i | −0.234153 | − | 0.972200i | \(-0.575232\pi\) |
0.972200 | + | 0.234153i | \(0.0752316\pi\) | |||||||
\(728\) | 1026.41 | + | 695.685i | 1.40990 | + | 0.955611i | ||||
\(729\) | 608.980i | 0.835363i | ||||||||
\(730\) | 167.842 | + | 448.494i | 0.229920 | + | 0.614376i | ||||
\(731\) | 7.65740 | − | 13.2630i | 0.0104752 | − | 0.0181436i | ||||
\(732\) | −77.2502 | − | 288.302i | −0.105533 | − | 0.393855i | ||||
\(733\) | −68.3024 | + | 254.908i | −0.0931820 | + | 0.347760i | −0.996738 | − | 0.0807110i | \(-0.974281\pi\) |
0.903556 | + | 0.428471i | \(0.140948\pi\) | |||||||
\(734\) | 424.163i | 0.577879i | ||||||||
\(735\) | 550.888 | − | 856.779i | 0.749508 | − | 1.16569i | ||||
\(736\) | −379.130 | −0.515122 | ||||||||
\(737\) | −415.648 | − | 111.373i | −0.563973 | − | 0.151116i | ||||
\(738\) | −123.042 | + | 32.9690i | −0.166724 | + | 0.0446735i | ||||
\(739\) | 262.146 | + | 151.350i | 0.354730 | + | 0.204804i | 0.666767 | − | 0.745267i | \(-0.267678\pi\) |
−0.312037 | + | 0.950070i | \(0.601011\pi\) | |||||||
\(740\) | −68.3181 | + | 150.032i | −0.0923218 | + | 0.202746i | ||||
\(741\) | −1885.35 | −2.54433 | ||||||||
\(742\) | −50.7195 | + | 74.8314i | −0.0683552 | + | 0.100851i | ||||
\(743\) | −767.699 | − | 767.699i | −1.03324 | − | 1.03324i | −0.999428 | − | 0.0338136i | \(-0.989235\pi\) |
−0.0338136 | − | 0.999428i | \(-0.510765\pi\) | |||||||
\(744\) | 579.607 | − | 334.636i | 0.779041 | − | 0.449780i | ||||
\(745\) | −855.723 | − | 704.964i | −1.14862 | − | 0.946260i | ||||
\(746\) | −268.307 | + | 464.721i | −0.359660 | + | 0.622950i | ||||
\(747\) | 50.0474 | + | 13.4102i | 0.0669979 | + | 0.0179520i | ||||
\(748\) | 8.77955 | + | 8.77955i | 0.0117374 | + | 0.0117374i | ||||
\(749\) | 714.368 | − | 618.177i | 0.953762 | − | 0.825336i | ||||
\(750\) | 582.679 | + | 315.676i | 0.776905 | + | 0.420902i | ||||
\(751\) | −519.734 | − | 900.206i | −0.692056 | − | 1.19868i | −0.971163 | − | 0.238416i | \(-0.923372\pi\) |
0.279107 | − | 0.960260i | \(-0.409962\pi\) | |||||||
\(752\) | 10.2236 | + | 38.1550i | 0.0135952 | + | 0.0507380i | ||||
\(753\) | 82.3130 | − | 22.0557i | 0.109313 | − | 0.0292904i | ||||
\(754\) | 181.219 | − | 104.627i | 0.240344 | − | 0.138763i | ||||
\(755\) | −327.834 | − | 54.7574i | −0.434217 | − | 0.0725263i | ||||
\(756\) | 16.1816 | − | 46.6539i | 0.0214043 | − | 0.0617116i | ||||
\(757\) | 612.294 | − | 612.294i | 0.808843 | − | 0.808843i | −0.175616 | − | 0.984459i | \(-0.556192\pi\) |
0.984459 | + | 0.175616i | \(0.0561916\pi\) | |||||||
\(758\) | 169.564 | − | 632.822i | 0.223699 | − | 0.834857i | ||||
\(759\) | 259.280 | + | 149.695i | 0.341607 | + | 0.197227i | ||||
\(760\) | 81.3049 | + | 841.683i | 0.106980 | + | 1.10748i | ||||
\(761\) | 340.196 | + | 589.237i | 0.447038 | + | 0.774293i | 0.998192 | − | 0.0601112i | \(-0.0191455\pi\) |
−0.551154 | + | 0.834404i | \(0.685812\pi\) | |||||||
\(762\) | 632.891 | − | 632.891i | 0.830566 | − | 0.830566i | ||||
\(763\) | 825.932 | − | 400.538i | 1.08248 | − | 0.524952i | ||||
\(764\) | 200.497i | 0.262430i | ||||||||
\(765\) | −15.0533 | + | 33.0582i | −0.0196775 | + | 0.0432134i | ||||
\(766\) | 92.5672 | − | 160.331i | 0.120845 | − | 0.209310i | ||||
\(767\) | −119.040 | − | 444.263i | −0.155202 | − | 0.579221i | ||||
\(768\) | −283.533 | + | 1058.16i | −0.369183 | + | 1.37781i | ||||
\(769\) | 1288.89i | 1.67606i | 0.545627 | + | 0.838028i | \(0.316292\pi\) | ||||
−0.545627 | + | 0.838028i | \(0.683708\pi\) | |||||||
\(770\) | −227.254 | + | 138.655i | −0.295135 | + | 0.180071i | ||||
\(771\) | −1547.19 | −2.00674 | ||||||||
\(772\) | 247.249 | + | 66.2502i | 0.320271 | + | 0.0858163i | ||||
\(773\) | −303.870 | + | 81.4217i | −0.393105 | + | 0.105332i | −0.449956 | − | 0.893051i | \(-0.648560\pi\) |
0.0568517 | + | 0.998383i | \(0.481894\pi\) | |||||||
\(774\) | −159.807 | − | 92.2644i | −0.206468 | − | 0.119205i | ||||
\(775\) | −94.7749 | − | 485.986i | −0.122290 | − | 0.627079i | ||||
\(776\) | −637.160 | −0.821083 | ||||||||
\(777\) | 226.778 | − | 334.587i | 0.291863 | − | 0.430614i | ||||
\(778\) | 371.259 | + | 371.259i | 0.477196 | + | 0.477196i | ||||
\(779\) | −217.264 | + | 125.437i | −0.278901 | + | 0.161024i | ||||
\(780\) | −683.853 | + | 830.097i | −0.876735 | + | 1.06423i | ||||
\(781\) | −383.737 | + | 664.651i | −0.491340 | + | 0.851026i | ||||
\(782\) | 13.0387 | + | 3.49372i | 0.0166736 | + | 0.00446767i | ||||
\(783\) | −15.8214 | − | 15.8214i | −0.0202061 | − | 0.0202061i | ||||
\(784\) | −26.3520 | + | 33.4182i | −0.0336122 | + | 0.0426253i | ||||
\(785\) | 393.049 | − | 280.541i | 0.500699 | − | 0.357377i | ||||
\(786\) | −137.121 | − | 237.500i | −0.174454 | − | 0.302163i | ||||
\(787\) | −358.940 | − | 1339.58i | −0.456086 | − | 1.70214i | −0.684875 | − | 0.728660i | \(-0.740143\pi\) |
0.228789 | − | 0.973476i | \(-0.426523\pi\) | |||||||
\(788\) | 159.186 | − | 42.6537i | 0.202012 | − | 0.0541290i | ||||
\(789\) | −1218.98 | + | 703.776i | −1.54496 | + | 0.891985i | ||||
\(790\) | −63.5482 | − | 89.0336i | −0.0804407 | − | 0.112701i | ||||
\(791\) | 533.460 | − | 102.450i | 0.674412 | − | 0.129520i | ||||
\(792\) | 284.028 | − | 284.028i | 0.358622 | − | 0.358622i | ||||
\(793\) | −170.578 | + | 636.606i | −0.215105 | + | 0.802782i | ||||
\(794\) | −160.523 | − | 92.6781i | −0.202170 | − | 0.116723i | ||||
\(795\) | −162.491 | − | 133.864i | −0.204391 | − | 0.168382i | ||||
\(796\) | 247.354 | + | 428.431i | 0.310747 | + | 0.538229i | ||||
\(797\) | −905.526 | + | 905.526i | −1.13617 | + | 1.13617i | −0.147038 | + | 0.989131i | \(0.546974\pi\) |
−0.989131 | + | 0.147038i | \(0.953026\pi\) | |||||||
\(798\) | 55.5965 | − | 770.183i | 0.0696699 | − | 0.965142i | ||||
\(799\) | 39.8786i | 0.0499106i | ||||||||
\(800\) | 651.143 | + | 438.622i | 0.813929 | + | 0.548277i | ||||
\(801\) | 450.414 | − | 780.140i | 0.562314 | − | 0.973957i | ||||
\(802\) | −17.4967 | − | 65.2987i | −0.0218164 | − | 0.0814198i | ||||
\(803\) | 115.951 | − | 432.734i | 0.144397 | − | 0.538897i | ||||
\(804\) | − | 712.028i | − | 0.885606i | ||||||
\(805\) | 202.342 | − | 370.948i | 0.251356 | − | 0.460805i | ||||
\(806\) | −550.414 | −0.682895 | ||||||||
\(807\) | 349.018 | + | 93.5190i | 0.432488 | + | 0.115885i | ||||
\(808\) | 1257.11 | − | 336.842i | 1.55583 | − | 0.416884i | ||||
\(809\) | −313.879 | − | 181.218i | −0.387983 | − | 0.224002i | 0.293303 | − | 0.956020i | \(-0.405246\pi\) |
−0.681286 | + | 0.732017i | \(0.738579\pi\) | |||||||
\(810\) | −504.369 | − | 229.668i | −0.622678 | − | 0.283541i | ||||
\(811\) | 668.488 | 0.824276 | 0.412138 | − | 0.911121i | \(-0.364782\pi\) | ||||
0.412138 | + | 0.911121i | \(0.364782\pi\) | |||||||
\(812\) | −54.5983 | − | 112.585i | −0.0672392 | − | 0.138651i | ||||
\(813\) | 584.976 | + | 584.976i | 0.719528 | + | 0.719528i | ||||
\(814\) | −91.4852 | + | 52.8190i | −0.112390 | + | 0.0648882i | ||||
\(815\) | −215.199 | + | 20.7878i | −0.264048 | + | 0.0255065i | ||||
\(816\) | 1.58313 | − | 2.74206i | 0.00194011 | − | 0.00336036i | ||||
\(817\) | −351.039 | − | 94.0606i | −0.429668 | − | 0.115129i | ||||
\(818\) | 262.206 | + | 262.206i | 0.320546 | + | 0.320546i | ||||
\(819\) | 955.794 | − | 827.094i | 1.16703 | − | 1.00988i | ||||
\(820\) | −23.5773 | + | 141.158i | −0.0287528 | + | 0.172143i | ||||
\(821\) | 360.015 | + | 623.564i | 0.438508 | + | 0.759518i | 0.997575 | − | 0.0696047i | \(-0.0221738\pi\) |
−0.559067 | + | 0.829123i | \(0.688840\pi\) | |||||||
\(822\) | 268.405 | + | 1001.70i | 0.326526 | + | 1.21861i | ||||
\(823\) | −706.861 | + | 189.403i | −0.858884 | + | 0.230137i | −0.661275 | − | 0.750144i | \(-0.729984\pi\) |
−0.197609 | + | 0.980281i | \(0.563318\pi\) | |||||||
\(824\) | −874.362 | + | 504.813i | −1.06112 | + | 0.612637i | ||||
\(825\) | −272.120 | − | 557.062i | −0.329842 | − | 0.675227i | ||||
\(826\) | 184.996 | − | 35.5282i | 0.223966 | − | 0.0430123i | ||||
\(827\) | −709.579 | + | 709.579i | −0.858016 | + | 0.858016i | −0.991104 | − | 0.133088i | \(-0.957511\pi\) |
0.133088 | + | 0.991104i | \(0.457511\pi\) | |||||||
\(828\) | −61.4582 | + | 229.365i | −0.0742249 | + | 0.277011i | ||||
\(829\) | −1403.34 | − | 810.220i | −1.69281 | − | 0.977346i | −0.952231 | − | 0.305379i | \(-0.901217\pi\) |
−0.740582 | − | 0.671966i | \(-0.765450\pi\) | |||||||
\(830\) | −25.3523 | + | 30.7740i | −0.0305450 | + | 0.0370771i | ||||
\(831\) | 775.200 | + | 1342.69i | 0.932852 | + | 1.61575i | ||||
\(832\) | 670.656 | − | 670.656i | 0.806077 | − | 0.806077i | ||||
\(833\) | −34.4294 | + | 25.7025i | −0.0413318 | + | 0.0308554i | ||||
\(834\) | 676.039i | 0.810598i | ||||||||
\(835\) | −858.721 | − | 391.024i | −1.02841 | − | 0.468293i | ||||
\(836\) | 147.319 | − | 255.163i | 0.176218 | − | 0.305219i | ||||
\(837\) | 15.2325 | + | 56.8484i | 0.0181989 | + | 0.0679193i | ||||
\(838\) | −95.7992 | + | 357.527i | −0.114319 | + | 0.426644i | ||||
\(839\) | − | 451.819i | − | 0.538521i | −0.963067 | − | 0.269260i | \(-0.913221\pi\) | ||
0.963067 | − | 0.269260i | \(-0.0867793\pi\) | |||||||
\(840\) | −856.331 | − | 815.794i | −1.01944 | − | 0.971184i | ||||
\(841\) | 784.305 | 0.932586 | ||||||||
\(842\) | −315.937 | − | 84.6551i | −0.375222 | − | 0.100540i | ||||
\(843\) | −478.236 | + | 128.143i | −0.567303 | + | 0.152008i | ||||
\(844\) | 611.226 | + | 352.892i | 0.724202 | + | 0.418118i | ||||
\(845\) | 1432.81 | − | 536.205i | 1.69563 | − | 0.634562i | ||||
\(846\) | 480.499 | 0.567966 | ||||||||
\(847\) | −596.397 | − | 43.0516i | −0.704129 | − | 0.0508283i | ||||
\(848\) | 6.21982 | + | 6.21982i | 0.00733470 | + | 0.00733470i | ||||
\(849\) | −35.1142 | + | 20.2732i | −0.0413595 | + | 0.0238789i | ||||
\(850\) | −18.3516 | − | 21.0851i | −0.0215902 | − | 0.0248060i | ||||
\(851\) | 83.8366 | − | 145.209i | 0.0985154 | − | 0.170634i | ||||
\(852\) | −1226.65 | − | 328.681i | −1.43973 | − | 0.385776i | ||||
\(853\) | −466.163 | − | 466.163i | −0.546499 | − | 0.546499i | 0.378928 | − | 0.925426i | \(-0.376293\pi\) |
−0.925426 | + | 0.378928i | \(0.876293\pi\) | |||||||
\(854\) | −255.030 | − | 88.4555i | −0.298630 | − | 0.103578i | ||||
\(855\) | 850.200 | + | 142.007i | 0.994386 | + | 0.166090i | ||||
\(856\) | −548.457 | − | 949.955i | −0.640721 | − | 1.10976i | ||||
\(857\) | 40.3902 | + | 150.738i | 0.0471298 | + | 0.175891i | 0.985479 | − | 0.169799i | \(-0.0543118\pi\) |
−0.938349 | + | 0.345689i | \(0.887645\pi\) | |||||||
\(858\) | −665.697 | + | 178.373i | −0.775871 | + | 0.207894i | ||||
\(859\) | −14.0348 | + | 8.10300i | −0.0163386 | + | 0.00943307i | −0.508147 | − | 0.861270i | \(-0.669669\pi\) |
0.491808 | + | 0.870703i | \(0.336336\pi\) | |||||||
\(860\) | −168.743 | + | 120.441i | −0.196212 | + | 0.140047i | ||||
\(861\) | 114.985 | − | 331.517i | 0.133548 | − | 0.385037i | ||||
\(862\) | 262.993 | − | 262.993i | 0.305096 | − | 0.305096i | ||||
\(863\) | 422.849 | − | 1578.10i | 0.489976 | − | 1.82862i | −0.0665465 | − | 0.997783i | \(-0.521198\pi\) |
0.556523 | − | 0.830832i | \(-0.312135\pi\) | |||||||
\(864\) | −80.8163 | − | 46.6593i | −0.0935374 | − | 0.0540038i | ||||
\(865\) | 1113.94 | − | 107.604i | 1.28779 | − | 0.124398i | ||||
\(866\) | 110.337 | + | 191.109i | 0.127409 | + | 0.220680i | ||||
\(867\) | −847.352 | + | 847.352i | −0.977338 | + | 0.977338i | ||||
\(868\) | −23.6965 | + | 328.270i | −0.0273001 | + | 0.378191i | ||||
\(869\) | 102.334i | 0.117761i | ||||||||
\(870\) | −186.933 | + | 69.9567i | −0.214866 | + | 0.0804100i | ||||
\(871\) | −786.122 | + | 1361.60i | −0.902552 | + | 1.56327i | ||||
\(872\) | −275.856 | − | 1029.51i | −0.316349 | − | 1.18063i | ||||
\(873\) | −168.103 | + | 627.369i | −0.192558 | + | 0.718636i | ||||
\(874\) | − | 320.326i | − | 0.366506i | ||||||
\(875\) | −776.671 | + | 402.998i | −0.887624 | + | 0.460569i | ||||
\(876\) | 741.297 | 0.846230 | ||||||||
\(877\) | 662.129 | + | 177.417i | 0.754993 | + | 0.202300i | 0.615732 | − | 0.787956i | \(-0.288861\pi\) |
0.139261 | + | 0.990256i | \(0.455527\pi\) | |||||||
\(878\) | −1070.55 | + | 286.852i | −1.21930 | + | 0.326711i | ||||
\(879\) | 135.419 | + | 78.1840i | 0.154060 | + | 0.0889466i | ||||
\(880\) | 9.07891 | + | 24.2600i | 0.0103169 | + | 0.0275682i | ||||
\(881\) | −974.437 | −1.10606 | −0.553029 | − | 0.833162i | \(-0.686528\pi\) | ||||
−0.553029 | + | 0.833162i | \(0.686528\pi\) | |||||||
\(882\) | 309.691 | + | 414.841i | 0.351124 | + | 0.470342i | ||||
\(883\) | 191.886 | + | 191.886i | 0.217311 | + | 0.217311i | 0.807365 | − | 0.590053i | \(-0.200893\pi\) |
−0.590053 | + | 0.807365i | \(0.700893\pi\) | |||||||
\(884\) | 39.2876 | − | 22.6827i | 0.0444430 | − | 0.0256592i | ||||
\(885\) | 42.1815 | + | 436.670i | 0.0476627 | + | 0.493413i | ||||
\(886\) | −84.9683 | + | 147.169i | −0.0959010 | + | 0.166105i | ||||
\(887\) | −948.556 | − | 254.165i | −1.06940 | − | 0.286544i | −0.319152 | − | 0.947703i | \(-0.603398\pi\) |
−0.750246 | + | 0.661159i | \(0.770065\pi\) | |||||||
\(888\) | −331.862 | − | 331.862i | −0.373718 | − | 0.373718i | ||||
\(889\) | 222.886 | + | 1160.57i | 0.250716 | + | 1.30548i | ||||
\(890\) | 402.729 | + | 564.239i | 0.452504 | + | 0.633977i | ||||
\(891\) | 259.235 | + | 449.008i | 0.290949 | + | 0.503938i | ||||
\(892\) | 35.3161 | + | 131.801i | 0.0395920 | + | 0.147759i | ||||
\(893\) | 914.079 | − | 244.927i | 1.02360 | − | 0.274274i | ||||
\(894\) | 1018.08 | − | 587.790i | 1.13879 | − | 0.657483i | ||||
\(895\) | −75.0852 | + | 449.536i | −0.0838940 | + | 0.502275i | ||||
\(896\) | −321.192 | − | 371.171i | −0.358473 | − | 0.414253i | ||||
\(897\) | 773.502 | − | 773.502i | 0.862321 | − | 0.862321i | ||||
\(898\) | 250.211 | − | 933.799i | 0.278631 | − | 1.03987i | ||||
\(899\) | 129.150 | + | 74.5647i | 0.143659 | + | 0.0829418i | ||||
\(900\) | 370.909 | − | 322.825i | 0.412121 | − | 0.358694i | ||||
\(901\) | 4.44012 | + | 7.69052i | 0.00492799 | + | 0.00853554i | ||||
\(902\) | −64.8461 | + | 64.8461i | −0.0718915 | + | 0.0718915i | ||||
\(903\) | 457.364 | − | 221.800i | 0.506494 | − | 0.245626i | ||||
\(904\) | − | 630.730i | − | 0.697711i | ||||||
\(905\) | 256.456 | + | 685.282i | 0.283376 | + | 0.757218i | ||||
\(906\) | 176.211 | − | 305.206i | 0.194493 | − | 0.336872i | ||||
\(907\) | 231.530 | + | 864.080i | 0.255270 | + | 0.952680i | 0.967940 | + | 0.251181i | \(0.0808188\pi\) |
−0.712670 | + | 0.701499i | \(0.752515\pi\) | |||||||
\(908\) | 37.1932 | − | 138.807i | 0.0409617 | − | 0.152871i | ||||
\(909\) | − | 1326.67i | − | 1.45948i | ||||||
\(910\) | 274.443 | + | 933.155i | 0.301586 | + | 1.02545i | ||||
\(911\) | 670.054 | 0.735515 | 0.367757 | − | 0.929922i | \(-0.380126\pi\) | ||||
0.367757 | + | 0.929922i | \(0.380126\pi\) | |||||||
\(912\) | −72.5755 | − | 19.4465i | −0.0795784 | − | 0.0213230i | ||||
\(913\) | 36.0305 | − | 9.65436i | 0.0394639 | − | 0.0105743i | ||||
\(914\) | 806.634 | + | 465.710i | 0.882532 | + | 0.509530i | ||||
\(915\) | 260.517 | − | 572.117i | 0.284718 | − | 0.625265i | ||||
\(916\) | 35.5851 | 0.0388484 | ||||||||
\(917\) | 361.159 | + | 26.0707i | 0.393849 | + | 0.0284304i | ||||
\(918\) | 2.34940 | + | 2.34940i | 0.00255926 | + | 0.00255926i | ||||
\(919\) | −224.983 | + | 129.894i | −0.244813 | + | 0.141343i | −0.617387 | − | 0.786660i | \(-0.711809\pi\) |
0.372574 | + | 0.928003i | \(0.378475\pi\) | |||||||
\(920\) | −378.675 | − | 311.961i | −0.411603 | − | 0.339088i | ||||
\(921\) | 195.978 | − | 339.443i | 0.212788 | − | 0.368559i | ||||
\(922\) | −865.872 | − | 232.010i | −0.939123 | − | 0.251637i | ||||
\(923\) | 1982.83 | + | 1982.83i | 2.14825 | + | 2.14825i | ||||
\(924\) | 77.7229 | + | 404.705i | 0.0841157 | + | 0.437992i | ||||
\(925\) | −311.982 | + | 152.400i | −0.337277 | + | 0.164757i | ||||
\(926\) | −557.602 | − | 965.795i | −0.602162 | − | 1.04298i | ||||
\(927\) | 266.372 | + | 994.112i | 0.287348 | + | 1.07240i | ||||
\(928\) | −228.402 | + | 61.2003i | −0.246123 | + | 0.0659486i | ||||
\(929\) | 1154.31 | − | 666.442i | 1.24253 | − | 0.717376i | 0.272922 | − | 0.962036i | \(-0.412010\pi\) |
0.969609 | + | 0.244660i | \(0.0786764\pi\) | |||||||
\(930\) | 517.832 | + | 86.4924i | 0.556808 | + | 0.0930026i | ||||
\(931\) | 800.600 | + | 631.315i | 0.859936 | + | 0.678104i | ||||
\(932\) | −387.242 | + | 387.242i | −0.415495 | + | 0.415495i | ||||
\(933\) | −234.063 | + | 873.534i | −0.250871 | + | 0.936264i | ||||
\(934\) | 138.274 | + | 79.8328i | 0.148045 | + | 0.0854741i | ||||
\(935\) | 2.51441 | + | 26.0296i | 0.00268921 | + | 0.0278392i | ||||
\(936\) | −733.812 | − | 1271.00i | −0.783988 | − | 1.35791i | ||||
\(937\) | 343.232 | − | 343.232i | 0.366310 | − | 0.366310i | −0.499820 | − | 0.866129i | \(-0.666600\pi\) |
0.866129 | + | 0.499820i | \(0.166600\pi\) | |||||||
\(938\) | −533.047 | − | 361.291i | −0.568280 | − | 0.385171i | ||||
\(939\) | 759.087i | 0.808400i | ||||||||
\(940\) | 223.716 | − | 491.298i | 0.237996 | − | 0.522658i | ||||
\(941\) | 556.358 | − | 963.640i | 0.591241 | − | 1.02406i | −0.402824 | − | 0.915277i | \(-0.631971\pi\) |
0.994066 | − | 0.108783i | \(-0.0346952\pi\) | |||||||
\(942\) | 132.521 | + | 494.577i | 0.140681 | + | 0.525029i | ||||
\(943\) | 37.6737 | − | 140.600i | 0.0399509 | − | 0.149099i | ||||
\(944\) | − | 18.3295i | − | 0.0194168i | ||||||
\(945\) | 88.7841 | − | 54.1701i | 0.0939514 | − | 0.0573228i | ||||
\(946\) | −132.847 | −0.140431 | ||||||||
\(947\) | 1636.49 | + | 438.497i | 1.72808 | + | 0.463038i | 0.979739 | − | 0.200277i | \(-0.0641841\pi\) |
0.748341 | + | 0.663314i | \(0.230851\pi\) | |||||||
\(948\) | −163.561 | + | 43.8261i | −0.172533 | + | 0.0462300i | ||||
\(949\) | −1417.58 | − | 818.438i | −1.49376 | − | 0.862421i | ||||
\(950\) | −370.590 | + | 550.149i | −0.390095 | + | 0.579104i | ||||
\(951\) | 2061.43 | 2.16765 | ||||||||
\(952\) | 21.7685 | + | 44.8878i | 0.0228660 | + | 0.0471511i | ||||
\(953\) | −892.480 | − | 892.480i | −0.936495 | − | 0.936495i | 0.0616058 | − | 0.998101i | \(-0.480378\pi\) |
−0.998101 | + | 0.0616058i | \(0.980378\pi\) | |||||||
\(954\) | 92.6634 | − | 53.4993i | 0.0971315 | − | 0.0560789i | ||||
\(955\) | −268.506 | + | 325.928i | −0.281159 | + | 0.341285i | ||||
\(956\) | −454.416 | + | 787.071i | −0.475330 | + | 0.823296i | ||||
\(957\) | 180.364 | + | 48.3285i | 0.188469 | + | 0.0505000i | ||||
\(958\) | −671.140 | − | 671.140i | −0.700563 | − | 0.700563i | ||||
\(959\) | −1293.66 | − | 448.698i | −1.34897 | − | 0.467881i | ||||
\(960\) | −736.344 | + | 525.569i | −0.767025 | + | 0.547468i | ||||
\(961\) | 284.368 | + | 492.540i | 0.295908 | + | 0.512528i | ||||
\(962\) | 99.8975 | + | 372.823i | 0.103844 | + | 0.387550i | ||||
\(963\) | −1080.06 | + | 289.401i | −1.12156 | + | 0.300520i | ||||
\(964\) | 576.893 | − | 333.069i | 0.598437 | − | 0.345508i | ||||
\(965\) | 313.205 | + | 438.813i | 0.324565 | + | 0.454729i | ||||
\(966\) | 293.174 | + | 338.793i | 0.303492 | + | 0.350717i | ||||
\(967\) | 456.890 | − | 456.890i | 0.472482 | − | 0.472482i | −0.430235 | − | 0.902717i | \(-0.641569\pi\) |
0.902717 | + | 0.430235i | \(0.141569\pi\) | |||||||
\(968\) | −179.696 | + | 670.634i | −0.185636 | + | 0.692803i | ||||
\(969\) | −65.6914 | − | 37.9270i | −0.0677930 | − | 0.0391403i | ||||
\(970\) | −385.767 | − | 317.804i | −0.397698 | − | 0.327633i | ||||
\(971\) | −659.395 | − | 1142.11i | −0.679089 | − | 1.17622i | −0.975256 | − | 0.221080i | \(-0.929042\pi\) |
0.296167 | − | 0.955136i | \(-0.404291\pi\) | |||||||
\(972\) | −561.736 | + | 561.736i | −0.577918 | + | 0.577918i | ||||
\(973\) | −738.889 | − | 500.807i | −0.759393 | − | 0.514704i | ||||
\(974\) | − | 854.182i | − | 0.876984i | ||||||
\(975\) | −2223.34 | + | 433.586i | −2.28035 | + | 0.444704i | ||||
\(976\) | −13.1326 | + | 22.7464i | −0.0134556 | + | 0.0233057i | ||||
\(977\) | −178.032 | − | 664.423i | −0.182223 | − | 0.680065i | −0.995208 | − | 0.0977804i | \(-0.968826\pi\) |
0.812985 | − | 0.582284i | \(-0.197841\pi\) | |||||||
\(978\) | 59.3320 | − | 221.430i | 0.0606666 | − | 0.226411i | ||||
\(979\) | − | 648.531i | − | 0.662442i | ||||||
\(980\) | 568.354 | − | 123.505i | 0.579953 | − | 0.126026i | ||||
\(981\) | −1086.47 | −1.10751 | ||||||||
\(982\) | 75.7546 | + | 20.2984i | 0.0771432 | + | 0.0206704i | ||||
\(983\) | 385.752 | − | 103.362i | 0.392423 | − | 0.105149i | −0.0572115 | − | 0.998362i | \(-0.518221\pi\) |
0.449634 | + | 0.893213i | \(0.351554\pi\) | |||||||
\(984\) | −352.843 | − | 203.714i | −0.358580 | − | 0.207026i | ||||
\(985\) | 315.894 | + | 143.844i | 0.320705 | + | 0.146035i | ||||
\(986\) | 8.41900 | 0.00853854 | ||||||||
\(987\) | −742.611 | + | 1095.64i | −0.752392 | + | 1.11008i | ||||
\(988\) | −761.221 | − | 761.221i | −0.770466 | − | 0.770466i | ||||
\(989\) | 182.611 | − | 105.431i | 0.184642 | − | 0.106603i | ||||
\(990\) | 313.633 | − | 30.2963i | 0.316801 | − | 0.0306023i | ||||
\(991\) | 352.050 | − | 609.769i | 0.355248 | − | 0.615307i | −0.631913 | − | 0.775040i | \(-0.717730\pi\) |
0.987160 | + | 0.159733i | \(0.0510632\pi\) | |||||||
\(992\) | 600.781 | + | 160.979i | 0.605626 | + | 0.162277i | ||||
\(993\) | −1364.13 | − | 1364.13i | −1.37375 | − | 1.37375i | ||||
\(994\) | −868.479 | + | 751.536i | −0.873721 | + | 0.756073i | ||||
\(995\) | −171.657 | + | 1027.71i | −0.172520 | + | 1.03288i | ||||
\(996\) | 30.8611 | + | 53.4531i | 0.0309851 | + | 0.0536677i | ||||
\(997\) | −190.370 | − | 710.472i | −0.190943 | − | 0.712610i | −0.993280 | − | 0.115738i | \(-0.963077\pi\) |
0.802336 | − | 0.596872i | \(-0.203590\pi\) | |||||||
\(998\) | 59.5483 | − | 15.9559i | 0.0596676 | − | 0.0159879i | ||||
\(999\) | 35.7417 | − | 20.6355i | 0.0357774 | − | 0.0206561i |
(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 | 35.3.l.a.18.3 | yes | 24 | |
3.2 | odd | 2 | 315.3.ca.a.298.4 | 24 | |||
5.2 | odd | 4 | inner | 35.3.l.a.32.4 | yes | 24 | |
5.3 | odd | 4 | 175.3.p.c.32.3 | 24 | |||
5.4 | even | 2 | 175.3.p.c.18.4 | 24 | |||
7.2 | even | 3 | inner | 35.3.l.a.23.4 | yes | 24 | |
7.3 | odd | 6 | 245.3.g.b.148.4 | 12 | |||
7.4 | even | 3 | 245.3.g.c.148.4 | 12 | |||
7.5 | odd | 6 | 245.3.m.b.128.4 | 24 | |||
7.6 | odd | 2 | 245.3.m.b.18.3 | 24 | |||
15.2 | even | 4 | 315.3.ca.a.172.3 | 24 | |||
21.2 | odd | 6 | 315.3.ca.a.163.3 | 24 | |||
35.2 | odd | 12 | inner | 35.3.l.a.2.3 | ✓ | 24 | |
35.9 | even | 6 | 175.3.p.c.93.3 | 24 | |||
35.12 | even | 12 | 245.3.m.b.177.3 | 24 | |||
35.17 | even | 12 | 245.3.g.b.197.4 | 12 | |||
35.23 | odd | 12 | 175.3.p.c.107.4 | 24 | |||
35.27 | even | 4 | 245.3.m.b.67.4 | 24 | |||
35.32 | odd | 12 | 245.3.g.c.197.4 | 12 | |||
105.2 | even | 12 | 315.3.ca.a.37.4 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
35.3.l.a.2.3 | ✓ | 24 | 35.2 | odd | 12 | inner | |
35.3.l.a.18.3 | yes | 24 | 1.1 | even | 1 | trivial | |
35.3.l.a.23.4 | yes | 24 | 7.2 | even | 3 | inner | |
35.3.l.a.32.4 | yes | 24 | 5.2 | odd | 4 | inner | |
175.3.p.c.18.4 | 24 | 5.4 | even | 2 | |||
175.3.p.c.32.3 | 24 | 5.3 | odd | 4 | |||
175.3.p.c.93.3 | 24 | 35.9 | even | 6 | |||
175.3.p.c.107.4 | 24 | 35.23 | odd | 12 | |||
245.3.g.b.148.4 | 12 | 7.3 | odd | 6 | |||
245.3.g.b.197.4 | 12 | 35.17 | even | 12 | |||
245.3.g.c.148.4 | 12 | 7.4 | even | 3 | |||
245.3.g.c.197.4 | 12 | 35.32 | odd | 12 | |||
245.3.m.b.18.3 | 24 | 7.6 | odd | 2 | |||
245.3.m.b.67.4 | 24 | 35.27 | even | 4 | |||
245.3.m.b.128.4 | 24 | 7.5 | odd | 6 | |||
245.3.m.b.177.3 | 24 | 35.12 | even | 12 | |||
315.3.ca.a.37.4 | 24 | 105.2 | even | 12 | |||
315.3.ca.a.163.3 | 24 | 21.2 | odd | 6 | |||
315.3.ca.a.172.3 | 24 | 15.2 | even | 4 | |||
315.3.ca.a.298.4 | 24 | 3.2 | odd | 2 |