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 | 23.6 | ||
Character | \(\chi\) | \(=\) | 35.23 |
Dual form | 35.3.l.a.32.6 |
$q$-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 \(\left(\mathbb{Z}/35\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.949975 | + | 3.54535i | 0.474987 | + | 1.77268i | 0.621443 | + | 0.783460i | \(0.286547\pi\) |
−0.146455 | + | 0.989217i | \(0.546786\pi\) | |||||||
\(3\) | 0.379154 | − | 1.41502i | 0.126385 | − | 0.471674i | −0.873501 | − | 0.486823i | \(-0.838156\pi\) |
0.999885 | + | 0.0151492i | \(0.00482234\pi\) | |||||||
\(4\) | −8.20298 | + | 4.73599i | −2.05075 | + | 1.18400i | ||||
\(5\) | 4.02777 | − | 2.96261i | 0.805555 | − | 0.592521i | ||||
\(6\) | 5.37694 | 0.896156 | ||||||||
\(7\) | −5.83212 | − | 3.87123i | −0.833160 | − | 0.553033i | ||||
\(8\) | −14.2019 | − | 14.2019i | −1.77523 | − | 1.77523i | ||||
\(9\) | 5.93570 | + | 3.42698i | 0.659522 | + | 0.380775i | ||||
\(10\) | 14.3298 | + | 11.4655i | 1.43298 | + | 1.14655i | ||||
\(11\) | −0.586967 | − | 1.01666i | −0.0533607 | − | 0.0924234i | 0.838111 | − | 0.545499i | \(-0.183660\pi\) |
−0.891472 | + | 0.453076i | \(0.850327\pi\) | |||||||
\(12\) | 3.59134 | + | 13.4031i | 0.299278 | + | 1.11692i | ||||
\(13\) | 2.48387 | + | 2.48387i | 0.191067 | + | 0.191067i | 0.796157 | − | 0.605090i | \(-0.206863\pi\) |
−0.605090 | + | 0.796157i | \(0.706863\pi\) | |||||||
\(14\) | 8.18451 | − | 24.3545i | 0.584608 | − | 1.73961i | ||||
\(15\) | −2.66501 | − | 6.82267i | −0.177667 | − | 0.454845i | ||||
\(16\) | 17.9153 | − | 31.0302i | 1.11971 | − | 1.93939i | ||||
\(17\) | −15.6797 | − | 4.20137i | −0.922337 | − | 0.247139i | −0.233753 | − | 0.972296i | \(-0.575101\pi\) |
−0.688584 | + | 0.725157i | \(0.741767\pi\) | |||||||
\(18\) | −6.51109 | + | 24.2997i | −0.361727 | + | 1.34998i | ||||
\(19\) | −2.54557 | − | 1.46969i | −0.133978 | − | 0.0773520i | 0.431513 | − | 0.902107i | \(-0.357980\pi\) |
−0.565491 | + | 0.824755i | \(0.691313\pi\) | |||||||
\(20\) | −19.0089 | + | 43.3777i | −0.950443 | + | 2.16889i | ||||
\(21\) | −7.68914 | + | 6.78478i | −0.366150 | + | 0.323085i | ||||
\(22\) | 3.04681 | − | 3.04681i | 0.138491 | − | 0.138491i | ||||
\(23\) | −28.4572 | + | 7.62508i | −1.23727 | + | 0.331525i | −0.817406 | − | 0.576062i | \(-0.804589\pi\) |
−0.419863 | + | 0.907587i | \(0.637922\pi\) | |||||||
\(24\) | −25.4807 | + | 14.7113i | −1.06169 | + | 0.612969i | ||||
\(25\) | 7.44591 | − | 23.8654i | 0.297837 | − | 0.954617i | ||||
\(26\) | −6.44658 | + | 11.1658i | −0.247946 | + | 0.429454i | ||||
\(27\) | 16.4226 | − | 16.4226i | 0.608244 | − | 0.608244i | ||||
\(28\) | 66.1749 | + | 4.13475i | 2.36339 | + | 0.147670i | ||||
\(29\) | 11.3707i | 0.392093i | 0.980595 | + | 0.196046i | \(0.0628103\pi\) | ||||
−0.980595 | + | 0.196046i | \(0.937190\pi\) | |||||||
\(30\) | 21.6571 | − | 15.9298i | 0.721903 | − | 0.530992i | ||||
\(31\) | 15.6227 | + | 27.0593i | 0.503959 | + | 0.872882i | 0.999990 | + | 0.00457701i | \(0.00145691\pi\) |
−0.496031 | + | 0.868305i | \(0.665210\pi\) | |||||||
\(32\) | 49.4315 | + | 13.2451i | 1.54474 | + | 0.413911i | ||||
\(33\) | −1.66114 | + | 0.445102i | −0.0503377 | + | 0.0134879i | ||||
\(34\) | − | 59.5814i | − | 1.75239i | ||||||
\(35\) | −34.9594 | + | 1.68584i | −0.998839 | + | 0.0481669i | ||||
\(36\) | −64.9206 | −1.80335 | ||||||||
\(37\) | 9.91842 | + | 37.0160i | 0.268065 | + | 1.00043i | 0.960347 | + | 0.278806i | \(0.0899387\pi\) |
−0.692282 | + | 0.721627i | \(0.743395\pi\) | |||||||
\(38\) | 2.79233 | − | 10.4211i | 0.0734824 | − | 0.274240i | ||||
\(39\) | 4.45650 | − | 2.57296i | 0.114269 | − | 0.0659733i | ||||
\(40\) | −99.2765 | − | 15.1274i | −2.48191 | − | 0.378184i | ||||
\(41\) | 59.3486 | 1.44753 | 0.723763 | − | 0.690048i | \(-0.242411\pi\) | ||||
0.723763 | + | 0.690048i | \(0.242411\pi\) | |||||||
\(42\) | −31.3589 | − | 20.8154i | −0.746641 | − | 0.495604i | ||||
\(43\) | 18.7104 | + | 18.7104i | 0.435126 | + | 0.435126i | 0.890368 | − | 0.455242i | \(-0.150447\pi\) |
−0.455242 | + | 0.890368i | \(0.650447\pi\) | |||||||
\(44\) | 9.62976 | + | 5.55975i | 0.218858 | + | 0.126358i | ||||
\(45\) | 34.0604 | − | 3.78206i | 0.756899 | − | 0.0840458i | ||||
\(46\) | −54.0672 | − | 93.6472i | −1.17537 | − | 2.03581i | ||||
\(47\) | −17.7878 | − | 66.3850i | −0.378464 | − | 1.41245i | −0.848217 | − | 0.529649i | \(-0.822324\pi\) |
0.469752 | − | 0.882798i | \(-0.344343\pi\) | |||||||
\(48\) | −37.1157 | − | 37.1157i | −0.773244 | − | 0.773244i | ||||
\(49\) | 19.0272 | + | 45.1549i | 0.388310 | + | 0.921529i | ||||
\(50\) | 91.6848 | + | 3.72685i | 1.83370 | + | 0.0745370i | ||||
\(51\) | −11.8901 | + | 20.5942i | −0.233138 | + | 0.403807i | ||||
\(52\) | −32.1387 | − | 8.61155i | −0.618052 | − | 0.165607i | ||||
\(53\) | 1.94504 | − | 7.25898i | 0.0366988 | − | 0.136962i | −0.945146 | − | 0.326649i | \(-0.894081\pi\) |
0.981845 | + | 0.189687i | \(0.0607473\pi\) | |||||||
\(54\) | 73.8250 | + | 42.6229i | 1.36713 | + | 0.789312i | ||||
\(55\) | −5.37613 | − | 2.35591i | −0.0977478 | − | 0.0428348i | ||||
\(56\) | 27.8483 | + | 137.806i | 0.497291 | + | 2.46082i | ||||
\(57\) | −3.04480 | + | 3.04480i | −0.0534176 | + | 0.0534176i | ||||
\(58\) | −40.3131 | + | 10.8019i | −0.695054 | + | 0.186239i | ||||
\(59\) | −5.15171 | + | 2.97434i | −0.0873172 | + | 0.0504126i | −0.543023 | − | 0.839718i | \(-0.682720\pi\) |
0.455706 | + | 0.890131i | \(0.349387\pi\) | |||||||
\(60\) | 54.1731 | + | 43.3448i | 0.902885 | + | 0.722413i | ||||
\(61\) | 0.00821757 | − | 0.0142333i | 0.000134714 | − | 0.000233332i | −0.865958 | − | 0.500117i | \(-0.833290\pi\) |
0.866093 | + | 0.499883i | \(0.166624\pi\) | |||||||
\(62\) | −81.0937 | + | 81.0937i | −1.30796 | + | 1.30796i | ||||
\(63\) | −21.3511 | − | 42.9650i | −0.338906 | − | 0.681984i | ||||
\(64\) | 44.5126i | 0.695509i | ||||||||
\(65\) | 17.3632 | + | 2.64573i | 0.267126 | + | 0.0407036i | ||||
\(66\) | −3.15609 | − | 5.46650i | −0.0478195 | − | 0.0828258i | ||||
\(67\) | 40.5504 | + | 10.8655i | 0.605230 | + | 0.162171i | 0.548405 | − | 0.836213i | \(-0.315235\pi\) |
0.0568258 | + | 0.998384i | \(0.481902\pi\) | |||||||
\(68\) | 148.518 | − | 39.7953i | 2.18409 | − | 0.585225i | ||||
\(69\) | 43.1586i | 0.625487i | ||||||||
\(70\) | −39.1874 | − | 122.342i | −0.559820 | − | 1.74774i | ||||
\(71\) | −15.7230 | −0.221451 | −0.110726 | − | 0.993851i | \(-0.535317\pi\) | ||||
−0.110726 | + | 0.993851i | \(0.535317\pi\) | |||||||
\(72\) | −35.6286 | − | 132.968i | −0.494841 | − | 1.84677i | ||||
\(73\) | −9.59964 | + | 35.8263i | −0.131502 | + | 0.490772i | −0.999988 | − | 0.00494220i | \(-0.998427\pi\) |
0.868486 | + | 0.495714i | \(0.165094\pi\) | |||||||
\(74\) | −121.813 | + | 70.3286i | −1.64612 | + | 0.950386i | ||||
\(75\) | −30.9469 | − | 19.5848i | −0.412626 | − | 0.261131i | ||||
\(76\) | 27.8417 | 0.366339 | ||||||||
\(77\) | −0.512451 | + | 8.20155i | −0.00665521 | + | 0.106514i | ||||
\(78\) | 13.3556 | + | 13.3556i | 0.171226 | + | 0.171226i | ||||
\(79\) | −60.3579 | − | 34.8477i | −0.764024 | − | 0.441110i | 0.0667145 | − | 0.997772i | \(-0.478748\pi\) |
−0.830739 | + | 0.556663i | \(0.812082\pi\) | |||||||
\(80\) | −19.7715 | − | 178.059i | −0.247144 | − | 2.22573i | ||||
\(81\) | 13.8312 | + | 23.9563i | 0.170755 | + | 0.295757i | ||||
\(82\) | 56.3797 | + | 210.412i | 0.687557 | + | 2.56600i | ||||
\(83\) | −63.1958 | − | 63.1958i | −0.761395 | − | 0.761395i | 0.215180 | − | 0.976574i | \(-0.430966\pi\) |
−0.976574 | + | 0.215180i | \(0.930966\pi\) | |||||||
\(84\) | 30.9412 | − | 92.0711i | 0.368348 | − | 1.09608i | ||||
\(85\) | −75.6014 | + | 29.5307i | −0.889428 | + | 0.347420i | ||||
\(86\) | −48.5606 | + | 84.1094i | −0.564658 | + | 0.978016i | ||||
\(87\) | 16.0898 | + | 4.31124i | 0.184940 | + | 0.0495545i | ||||
\(88\) | −6.10240 | + | 22.7745i | −0.0693455 | + | 0.258801i | ||||
\(89\) | −52.1411 | − | 30.1037i | −0.585855 | − | 0.338243i | 0.177602 | − | 0.984102i | \(-0.443166\pi\) |
−0.763457 | + | 0.645859i | \(0.776499\pi\) | |||||||
\(90\) | 45.7653 | + | 117.163i | 0.508503 | + | 1.30182i | ||||
\(91\) | −4.87059 | − | 24.1018i | −0.0535230 | − | 0.264855i | ||||
\(92\) | 197.321 | − | 197.321i | 2.14480 | − | 2.14480i | ||||
\(93\) | 44.2129 | − | 11.8468i | 0.475408 | − | 0.127385i | ||||
\(94\) | 218.460 | − | 126.128i | 2.32405 | − | 1.34179i | ||||
\(95\) | −14.6071 | + | 1.62197i | −0.153759 | + | 0.0170733i | ||||
\(96\) | 37.4843 | − | 64.9247i | 0.390462 | − | 0.676299i | ||||
\(97\) | 51.7791 | − | 51.7791i | 0.533805 | − | 0.533805i | −0.387898 | − | 0.921702i | \(-0.626799\pi\) |
0.921702 | + | 0.387898i | \(0.126799\pi\) | |||||||
\(98\) | −142.015 | + | 110.354i | −1.44913 | + | 1.12606i | ||||
\(99\) | − | 8.04610i | − | 0.0812737i | ||||||
\(100\) | 51.9478 | + | 231.031i | 0.519478 | + | 2.31031i | ||||
\(101\) | −94.1409 | − | 163.057i | −0.932088 | − | 1.61442i | −0.779746 | − | 0.626096i | \(-0.784652\pi\) |
−0.152342 | − | 0.988328i | \(-0.548682\pi\) | |||||||
\(102\) | −84.3089 | − | 22.5905i | −0.826558 | − | 0.221475i | ||||
\(103\) | 114.295 | − | 30.6253i | 1.10966 | − | 0.297333i | 0.342969 | − | 0.939347i | \(-0.388567\pi\) |
0.766693 | + | 0.642013i | \(0.221901\pi\) | |||||||
\(104\) | − | 70.5512i | − | 0.678377i | ||||||
\(105\) | −10.8695 | + | 50.1075i | −0.103519 | + | 0.477214i | ||||
\(106\) | 27.5834 | 0.260221 | ||||||||
\(107\) | 12.0864 | + | 45.1072i | 0.112957 | + | 0.421563i | 0.999126 | − | 0.0418001i | \(-0.0133093\pi\) |
−0.886169 | + | 0.463363i | \(0.846643\pi\) | |||||||
\(108\) | −56.9369 | + | 212.492i | −0.527194 | + | 1.96751i | ||||
\(109\) | −29.1458 | + | 16.8273i | −0.267393 | + | 0.154379i | −0.627702 | − | 0.778454i | \(-0.716004\pi\) |
0.360309 | + | 0.932833i | \(0.382671\pi\) | |||||||
\(110\) | 3.24535 | − | 21.2983i | 0.0295032 | − | 0.193621i | ||||
\(111\) | 56.1391 | 0.505757 | ||||||||
\(112\) | −224.609 | + | 111.617i | −2.00544 | + | 0.996585i | ||||
\(113\) | 40.5401 | + | 40.5401i | 0.358762 | + | 0.358762i | 0.863356 | − | 0.504595i | \(-0.168358\pi\) |
−0.504595 | + | 0.863356i | \(0.668358\pi\) | |||||||
\(114\) | −13.6874 | − | 7.90242i | −0.120065 | − | 0.0693195i | ||||
\(115\) | −92.0290 | + | 115.020i | −0.800252 | + | 1.00017i | ||||
\(116\) | −53.8515 | − | 93.2736i | −0.464237 | − | 0.804082i | ||||
\(117\) | 6.23134 | + | 23.2557i | 0.0532593 | + | 0.198766i | ||||
\(118\) | −15.4391 | − | 15.4391i | −0.130840 | − | 0.130840i | ||||
\(119\) | 75.1815 | + | 85.2027i | 0.631777 | + | 0.715989i | ||||
\(120\) | −59.0466 | + | 134.743i | −0.492055 | + | 1.12286i | ||||
\(121\) | 59.8109 | − | 103.596i | 0.494305 | − | 0.856162i | ||||
\(122\) | 0.0582684 | + | 0.0156130i | 0.000477610 | + | 0.000127975i | ||||
\(123\) | 22.5022 | − | 83.9795i | 0.182945 | − | 0.682760i | ||||
\(124\) | −256.306 | − | 147.978i | −2.06698 | − | 1.19337i | ||||
\(125\) | −40.7134 | − | 118.184i | −0.325707 | − | 0.945471i | ||||
\(126\) | 132.043 | − | 116.513i | 1.04796 | − | 0.924705i | ||||
\(127\) | −30.4117 | + | 30.4117i | −0.239462 | + | 0.239462i | −0.816627 | − | 0.577165i | \(-0.804159\pi\) |
0.577165 | + | 0.816627i | \(0.304159\pi\) | |||||||
\(128\) | 39.9133 | − | 10.6947i | 0.311823 | − | 0.0835526i | ||||
\(129\) | 33.5697 | − | 19.3815i | 0.260231 | − | 0.150244i | ||||
\(130\) | 7.11454 | + | 64.0720i | 0.0547272 | + | 0.492862i | ||||
\(131\) | −28.3295 | + | 49.0682i | −0.216256 | + | 0.374567i | −0.953660 | − | 0.300885i | \(-0.902718\pi\) |
0.737404 | + | 0.675452i | \(0.236051\pi\) | |||||||
\(132\) | 11.5183 | − | 11.5183i | 0.0872600 | − | 0.0872600i | ||||
\(133\) | 9.15659 | + | 18.4259i | 0.0688465 | + | 0.138541i | ||||
\(134\) | 154.088i | 1.14991i | ||||||||
\(135\) | 17.4928 | − | 114.800i | 0.129576 | − | 0.850372i | ||||
\(136\) | 163.014 | + | 282.349i | 1.19863 | + | 2.07609i | ||||
\(137\) | 208.383 | + | 55.8359i | 1.52104 | + | 0.407562i | 0.920084 | − | 0.391721i | \(-0.128120\pi\) |
0.600956 | + | 0.799282i | \(0.294787\pi\) | |||||||
\(138\) | −153.013 | + | 40.9996i | −1.10879 | + | 0.297098i | ||||
\(139\) | 169.451i | 1.21907i | 0.792760 | + | 0.609534i | \(0.208644\pi\) | ||||
−0.792760 | + | 0.609534i | \(0.791356\pi\) | |||||||
\(140\) | 278.787 | − | 179.396i | 1.99134 | − | 1.28140i | ||||
\(141\) | −100.681 | −0.714046 | ||||||||
\(142\) | −14.9365 | − | 55.7438i | −0.105187 | − | 0.392562i | ||||
\(143\) | 1.06729 | − | 3.98320i | 0.00746359 | − | 0.0278545i | ||||
\(144\) | 212.680 | − | 122.791i | 1.47694 | − | 0.852712i | ||||
\(145\) | 33.6869 | + | 45.7986i | 0.232323 | + | 0.315852i | ||||
\(146\) | −136.136 | −0.932441 | ||||||||
\(147\) | 71.1094 | − | 9.80319i | 0.483737 | − | 0.0666884i | ||||
\(148\) | −256.668 | − | 256.668i | −1.73424 | − | 1.73424i | ||||
\(149\) | −129.356 | − | 74.6835i | −0.868159 | − | 0.501232i | −0.00142291 | − | 0.999999i | \(-0.500453\pi\) |
−0.866736 | + | 0.498767i | \(0.833786\pi\) | |||||||
\(150\) | 40.0362 | − | 128.323i | 0.266908 | − | 0.855486i | ||||
\(151\) | 76.3156 | + | 132.182i | 0.505401 | + | 0.875381i | 0.999980 | + | 0.00624813i | \(0.00198885\pi\) |
−0.494579 | + | 0.869133i | \(0.664678\pi\) | |||||||
\(152\) | 15.2796 | + | 57.0243i | 0.100524 | + | 0.375160i | ||||
\(153\) | −78.6721 | − | 78.6721i | −0.514197 | − | 0.514197i | ||||
\(154\) | −29.5642 | + | 5.97444i | −0.191975 | + | 0.0387951i | ||||
\(155\) | 143.091 | + | 62.7049i | 0.923167 | + | 0.404548i | ||||
\(156\) | −24.3710 | + | 42.2119i | −0.156225 | + | 0.270589i | ||||
\(157\) | −133.650 | − | 35.8114i | −0.851275 | − | 0.228098i | −0.193301 | − | 0.981139i | \(-0.561919\pi\) |
−0.657974 | + | 0.753041i | \(0.728586\pi\) | |||||||
\(158\) | 66.2088 | − | 247.095i | 0.419043 | − | 1.56389i | ||||
\(159\) | −9.53415 | − | 5.50454i | −0.0599632 | − | 0.0346198i | ||||
\(160\) | 238.339 | − | 93.0978i | 1.48962 | − | 0.581861i | ||||
\(161\) | 195.484 | + | 65.6939i | 1.21419 | + | 0.408037i | ||||
\(162\) | −71.7943 | + | 71.7943i | −0.443175 | + | 0.443175i | ||||
\(163\) | 10.4361 | − | 2.79634i | 0.0640250 | − | 0.0171555i | −0.226664 | − | 0.973973i | \(-0.572782\pi\) |
0.290689 | + | 0.956817i | \(0.406115\pi\) | |||||||
\(164\) | −486.835 | + | 281.074i | −2.96851 | + | 1.71387i | ||||
\(165\) | −5.37204 | + | 6.71408i | −0.0325578 | + | 0.0406914i | ||||
\(166\) | 164.017 | − | 284.086i | 0.988054 | − | 1.71136i | ||||
\(167\) | −80.7727 | + | 80.7727i | −0.483669 | + | 0.483669i | −0.906301 | − | 0.422632i | \(-0.861106\pi\) |
0.422632 | + | 0.906301i | \(0.361106\pi\) | |||||||
\(168\) | 205.557 | + | 12.8436i | 1.22355 | + | 0.0764503i | ||||
\(169\) | − | 156.661i | − | 0.926987i | ||||||
\(170\) | −176.516 | − | 239.980i | −1.03833 | − | 1.41165i | ||||
\(171\) | −10.0732 | − | 17.4473i | −0.0589075 | − | 0.102031i | ||||
\(172\) | −242.093 | − | 64.8687i | −1.40752 | − | 0.377144i | ||||
\(173\) | −218.312 | + | 58.4966i | −1.26192 | + | 0.338131i | −0.826930 | − | 0.562304i | \(-0.809915\pi\) |
−0.434991 | + | 0.900435i | \(0.643248\pi\) | |||||||
\(174\) | 61.1395i | 0.351376i | ||||||||
\(175\) | −135.814 | + | 110.361i | −0.776080 | + | 0.630635i | ||||
\(176\) | −42.0628 | −0.238993 | ||||||||
\(177\) | 2.25547 | + | 8.41752i | 0.0127427 | + | 0.0475566i | ||||
\(178\) | 57.1954 | − | 213.456i | 0.321323 | − | 1.19919i | ||||
\(179\) | 189.777 | − | 109.568i | 1.06021 | − | 0.612112i | 0.134719 | − | 0.990884i | \(-0.456987\pi\) |
0.925490 | + | 0.378772i | \(0.123654\pi\) | |||||||
\(180\) | −261.485 | + | 192.334i | −1.45270 | + | 1.06852i | ||||
\(181\) | −291.658 | −1.61137 | −0.805686 | − | 0.592343i | \(-0.798203\pi\) | ||||
−0.805686 | + | 0.592343i | \(0.798203\pi\) | |||||||
\(182\) | 80.8226 | − | 40.1641i | 0.444080 | − | 0.220682i | ||||
\(183\) | −0.0170246 | − | 0.0170246i | −9.30308e−5 | − | 9.30308e-5i | ||||
\(184\) | 512.436 | + | 295.855i | 2.78498 | + | 1.60791i | ||||
\(185\) | 149.613 | + | 119.708i | 0.808719 | + | 0.647069i | ||||
\(186\) | 84.0024 | + | 145.496i | 0.451626 | + | 0.782239i | ||||
\(187\) | 4.93213 | + | 18.4070i | 0.0263750 | + | 0.0984330i | ||||
\(188\) | 460.312 | + | 460.312i | 2.44847 | + | 2.44847i | ||||
\(189\) | −159.354 | + | 32.2029i | −0.843144 | + | 0.170386i | ||||
\(190\) | −19.6268 | − | 50.2465i | −0.103299 | − | 0.264455i | ||||
\(191\) | −55.1786 | + | 95.5721i | −0.288893 | + | 0.500377i | −0.973546 | − | 0.228492i | \(-0.926621\pi\) |
0.684653 | + | 0.728869i | \(0.259954\pi\) | |||||||
\(192\) | 62.9863 | + | 16.8771i | 0.328053 | + | 0.0879017i | ||||
\(193\) | −92.7422 | + | 346.119i | −0.480530 | + | 1.79336i | 0.118868 | + | 0.992910i | \(0.462073\pi\) |
−0.599398 | + | 0.800451i | \(0.704593\pi\) | |||||||
\(194\) | 232.764 | + | 134.386i | 1.19981 | + | 0.692713i | ||||
\(195\) | 10.3271 | − | 23.5662i | 0.0529594 | − | 0.120852i | ||||
\(196\) | −369.933 | − | 280.292i | −1.88741 | − | 1.43006i | ||||
\(197\) | −90.6810 | + | 90.6810i | −0.460309 | + | 0.460309i | −0.898757 | − | 0.438447i | \(-0.855529\pi\) |
0.438447 | + | 0.898757i | \(0.355529\pi\) | |||||||
\(198\) | 28.5263 | − | 7.64359i | 0.144072 | − | 0.0386040i | ||||
\(199\) | 280.150 | − | 161.744i | 1.40779 | − | 0.812786i | 0.412613 | − | 0.910907i | \(-0.364616\pi\) |
0.995175 | + | 0.0981204i | \(0.0312830\pi\) | |||||||
\(200\) | −444.680 | + | 233.188i | −2.22340 | + | 1.16594i | ||||
\(201\) | 30.7497 | − | 53.2601i | 0.152984 | − | 0.264975i | ||||
\(202\) | 488.663 | − | 488.663i | 2.41912 | − | 2.41912i | ||||
\(203\) | 44.0186 | − | 66.3152i | 0.216840 | − | 0.326676i | ||||
\(204\) | − | 225.245i | − | 1.10414i | ||||||
\(205\) | 239.043 | − | 175.827i | 1.16606 | − | 0.857691i | ||||
\(206\) | 217.155 | + | 376.124i | 1.05415 | + | 1.82584i | ||||
\(207\) | −195.044 | − | 52.2620i | −0.942243 | − | 0.252473i | ||||
\(208\) | 121.574 | − | 32.5757i | 0.584491 | − | 0.156614i | ||||
\(209\) | 3.45064i | 0.0165102i | ||||||||
\(210\) | −187.974 | + | 9.06466i | −0.895116 | + | 0.0431650i | ||||
\(211\) | −32.3501 | −0.153318 | −0.0766590 | − | 0.997057i | \(-0.524425\pi\) | ||||
−0.0766590 | + | 0.997057i | \(0.524425\pi\) | |||||||
\(212\) | 18.4234 | + | 68.7570i | 0.0869027 | + | 0.324325i | ||||
\(213\) | −5.96145 | + | 22.2484i | −0.0279880 | + | 0.104453i | ||||
\(214\) | −148.439 | + | 85.7015i | −0.693642 | + | 0.400474i | ||||
\(215\) | 130.793 | + | 19.9297i | 0.608339 | + | 0.0926962i | ||||
\(216\) | −466.463 | −2.15955 | ||||||||
\(217\) | 13.6394 | − | 218.292i | 0.0628543 | − | 1.00596i | ||||
\(218\) | −87.3467 | − | 87.3467i | −0.400673 | − | 0.400673i | ||||
\(219\) | 47.0553 | + | 27.1674i | 0.214864 | + | 0.124052i | ||||
\(220\) | 55.2579 | − | 6.13581i | 0.251172 | − | 0.0278901i | ||||
\(221\) | −28.5107 | − | 49.3820i | −0.129008 | − | 0.223448i | ||||
\(222\) | 53.3307 | + | 199.033i | 0.240228 | + | 0.896545i | ||||
\(223\) | 182.276 | + | 182.276i | 0.817382 | + | 0.817382i | 0.985728 | − | 0.168346i | \(-0.0538427\pi\) |
−0.168346 | + | 0.985728i | \(0.553843\pi\) | |||||||
\(224\) | −237.016 | − | 268.608i | −1.05811 | − | 1.19914i | ||||
\(225\) | 125.983 | − | 116.141i | 0.559924 | − | 0.516182i | ||||
\(226\) | −105.217 | + | 182.241i | −0.465561 | + | 0.806376i | ||||
\(227\) | −202.109 | − | 54.1550i | −0.890349 | − | 0.238568i | −0.215482 | − | 0.976508i | \(-0.569132\pi\) |
−0.674867 | + | 0.737939i | \(0.735799\pi\) | |||||||
\(228\) | 10.5563 | − | 39.3966i | 0.0462996 | − | 0.172792i | ||||
\(229\) | −91.0319 | − | 52.5573i | −0.397519 | − | 0.229508i | 0.287894 | − | 0.957662i | \(-0.407045\pi\) |
−0.685413 | + | 0.728154i | \(0.740378\pi\) | |||||||
\(230\) | −495.210 | − | 217.010i | −2.15309 | − | 0.943520i | ||||
\(231\) | 11.4111 | + | 3.83478i | 0.0493986 | + | 0.0166008i | ||||
\(232\) | 161.485 | − | 161.485i | 0.696057 | − | 0.696057i | ||||
\(233\) | 49.4071 | − | 13.2386i | 0.212048 | − | 0.0568180i | −0.151231 | − | 0.988498i | \(-0.548324\pi\) |
0.363279 | + | 0.931680i | \(0.381657\pi\) | |||||||
\(234\) | −76.5300 | + | 44.1846i | −0.327051 | + | 0.188823i | ||||
\(235\) | −268.318 | − | 214.686i | −1.14178 | − | 0.913556i | ||||
\(236\) | 28.1729 | − | 48.7969i | 0.119377 | − | 0.206767i | ||||
\(237\) | −72.1951 | + | 72.1951i | −0.304621 | + | 0.304621i | ||||
\(238\) | −230.653 | + | 347.485i | −0.969131 | + | 1.46002i | ||||
\(239\) | − | 58.4297i | − | 0.244476i | −0.992501 | − | 0.122238i | \(-0.960993\pi\) | ||
0.992501 | − | 0.122238i | \(-0.0390071\pi\) | |||||||
\(240\) | −259.453 | − | 39.5344i | −1.08105 | − | 0.164727i | ||||
\(241\) | −103.305 | − | 178.930i | −0.428653 | − | 0.742449i | 0.568101 | − | 0.822959i | \(-0.307678\pi\) |
−0.996754 | + | 0.0805104i | \(0.974345\pi\) | |||||||
\(242\) | 424.102 | + | 113.638i | 1.75249 | + | 0.469578i | ||||
\(243\) | 241.046 | − | 64.5881i | 0.991959 | − | 0.265795i | ||||
\(244\) | 0.155673i | 0.000638006i | ||||||||
\(245\) | 210.413 | + | 125.504i | 0.858830 | + | 0.512260i | ||||
\(246\) | 319.114 | 1.29721 | ||||||||
\(247\) | −2.67236 | − | 9.97339i | −0.0108193 | − | 0.0403781i | ||||
\(248\) | 162.421 | − | 606.165i | 0.654925 | − | 2.44421i | ||||
\(249\) | −113.384 | + | 65.4624i | −0.455359 | + | 0.262901i | ||||
\(250\) | 380.327 | − | 256.615i | 1.52131 | − | 1.02646i | ||||
\(251\) | 357.500 | 1.42430 | 0.712151 | − | 0.702026i | \(-0.247721\pi\) | ||||
0.712151 | + | 0.702026i | \(0.247721\pi\) | |||||||
\(252\) | 378.624 | + | 251.322i | 1.50248 | + | 0.997311i | ||||
\(253\) | 24.4555 | + | 24.4555i | 0.0966622 | + | 0.0966622i | ||||
\(254\) | −136.711 | − | 78.9299i | −0.538231 | − | 0.310748i | ||||
\(255\) | 13.1220 | + | 118.174i | 0.0514589 | + | 0.463428i | ||||
\(256\) | 164.858 | + | 285.543i | 0.643978 | + | 1.11540i | ||||
\(257\) | −3.80238 | − | 14.1907i | −0.0147953 | − | 0.0552167i | 0.958134 | − | 0.286322i | \(-0.0924326\pi\) |
−0.972929 | + | 0.231105i | \(0.925766\pi\) | |||||||
\(258\) | 100.605 | + | 100.605i | 0.389941 | + | 0.389941i | ||||
\(259\) | 85.4522 | − | 254.278i | 0.329931 | − | 0.981769i | ||||
\(260\) | −154.960 | + | 60.5291i | −0.596000 | + | 0.232804i | ||||
\(261\) | −38.9671 | + | 67.4930i | −0.149299 | + | 0.258594i | ||||
\(262\) | −200.877 | − | 53.8247i | −0.766704 | − | 0.205438i | ||||
\(263\) | 68.4088 | − | 255.305i | 0.260109 | − | 0.970741i | −0.705067 | − | 0.709141i | \(-0.749083\pi\) |
0.965176 | − | 0.261601i | \(-0.0842503\pi\) | |||||||
\(264\) | 29.9126 | + | 17.2701i | 0.113305 | + | 0.0654169i | ||||
\(265\) | −13.6713 | − | 34.9999i | −0.0515900 | − | 0.132075i | ||||
\(266\) | −56.6278 | + | 49.9675i | −0.212886 | + | 0.187848i | ||||
\(267\) | −62.3668 | + | 62.3668i | −0.233583 | + | 0.233583i | ||||
\(268\) | −384.093 | + | 102.917i | −1.43318 | + | 0.384020i | ||||
\(269\) | 225.615 | − | 130.259i | 0.838717 | − | 0.484234i | −0.0181109 | − | 0.999836i | \(-0.505765\pi\) |
0.856828 | + | 0.515602i | \(0.172432\pi\) | |||||||
\(270\) | 423.625 | − | 47.0392i | 1.56898 | − | 0.174219i | ||||
\(271\) | −177.157 | + | 306.844i | −0.653715 | + | 1.13227i | 0.328500 | + | 0.944504i | \(0.393457\pi\) |
−0.982214 | + | 0.187763i | \(0.939876\pi\) | |||||||
\(272\) | −411.276 | + | 411.276i | −1.51204 | + | 1.51204i | ||||
\(273\) | −35.9513 | − | 2.24632i | −0.131690 | − | 0.00822828i | ||||
\(274\) | 791.833i | 2.88990i | ||||||||
\(275\) | −28.6335 | + | 6.43828i | −0.104122 | + | 0.0234119i | ||||
\(276\) | −204.399 | − | 354.029i | −0.740576 | − | 1.28271i | ||||
\(277\) | −89.4100 | − | 23.9573i | −0.322780 | − | 0.0864886i | 0.0937909 | − | 0.995592i | \(-0.470101\pi\) |
−0.416571 | + | 0.909103i | \(0.636768\pi\) | |||||||
\(278\) | −600.762 | + | 160.974i | −2.16102 | + | 0.579042i | ||||
\(279\) | 214.155i | 0.767580i | ||||||||
\(280\) | 520.431 | + | 472.547i | 1.85868 | + | 1.68767i | ||||
\(281\) | 14.0935 | 0.0501547 | 0.0250774 | − | 0.999686i | \(-0.492017\pi\) | ||||
0.0250774 | + | 0.999686i | \(0.492017\pi\) | |||||||
\(282\) | −95.6440 | − | 356.948i | −0.339163 | − | 1.26577i | ||||
\(283\) | −105.700 | + | 394.478i | −0.373499 | + | 1.39392i | 0.482027 | + | 0.876156i | \(0.339901\pi\) |
−0.855526 | + | 0.517760i | \(0.826766\pi\) | |||||||
\(284\) | 128.976 | − | 74.4642i | 0.454140 | − | 0.262198i | ||||
\(285\) | −3.24322 | + | 21.2843i | −0.0113797 | + | 0.0746819i | ||||
\(286\) | 15.1357 | 0.0529222 | ||||||||
\(287\) | −346.128 | − | 229.752i | −1.20602 | − | 0.800530i | ||||
\(288\) | 248.020 | + | 248.020i | 0.861181 | + | 0.861181i | ||||
\(289\) | −22.0791 | − | 12.7474i | −0.0763984 | − | 0.0441086i | ||||
\(290\) | −130.370 | + | 162.939i | −0.449553 | + | 0.561860i | ||||
\(291\) | −53.6362 | − | 92.9007i | −0.184317 | − | 0.319246i | ||||
\(292\) | −90.9276 | − | 339.346i | −0.311396 | − | 1.16215i | ||||
\(293\) | −272.948 | − | 272.948i | −0.931564 | − | 0.931564i | 0.0662402 | − | 0.997804i | \(-0.478900\pi\) |
−0.997804 | + | 0.0662402i | \(0.978900\pi\) | |||||||
\(294\) | 102.308 | + | 242.795i | 0.347986 | + | 0.825834i | ||||
\(295\) | −11.9381 | + | 27.2425i | −0.0404682 | + | 0.0923474i | ||||
\(296\) | 384.837 | − | 666.557i | 1.30013 | − | 2.25188i | ||||
\(297\) | −26.3357 | − | 7.05663i | −0.0886723 | − | 0.0237597i | ||||
\(298\) | 141.895 | − | 529.559i | 0.476158 | − | 1.77704i | ||||
\(299\) | −89.6237 | − | 51.7442i | −0.299745 | − | 0.173058i | ||||
\(300\) | 346.611 | + | 14.0892i | 1.15537 | + | 0.0469640i | ||||
\(301\) | −36.6890 | − | 181.553i | −0.121890 | − | 0.603168i | ||||
\(302\) | −396.136 | + | 396.136i | −1.31171 | + | 1.31171i | ||||
\(303\) | −266.423 | + | 71.3878i | −0.879283 | + | 0.235603i | ||||
\(304\) | −91.2094 | + | 52.6598i | −0.300031 | + | 0.173223i | ||||
\(305\) | −0.00906902 | − | 0.0816738i | −2.97345e−5 | − | 0.000267783i | ||||
\(306\) | 204.184 | − | 353.657i | 0.667268 | − | 1.15574i | ||||
\(307\) | 149.471 | − | 149.471i | 0.486877 | − | 0.486877i | −0.420442 | − | 0.907319i | \(-0.638125\pi\) |
0.907319 | + | 0.420442i | \(0.138125\pi\) | |||||||
\(308\) | −34.6389 | − | 69.7041i | −0.112464 | − | 0.226312i | ||||
\(309\) | − | 173.342i | − | 0.560977i | ||||||
\(310\) | −86.3783 | + | 566.876i | −0.278640 | + | 1.82863i | ||||
\(311\) | 60.8111 | + | 105.328i | 0.195534 | + | 0.338675i | 0.947075 | − | 0.321011i | \(-0.104023\pi\) |
−0.751541 | + | 0.659686i | \(0.770689\pi\) | |||||||
\(312\) | −99.8315 | − | 26.7498i | −0.319973 | − | 0.0857364i | ||||
\(313\) | 186.211 | − | 49.8952i | 0.594924 | − | 0.159409i | 0.0512215 | − | 0.998687i | \(-0.483689\pi\) |
0.543703 | + | 0.839278i | \(0.317022\pi\) | |||||||
\(314\) | − | 507.857i | − | 1.61738i | ||||||
\(315\) | −213.286 | − | 109.798i | −0.677098 | − | 0.348566i | ||||
\(316\) | 660.153 | 2.08909 | ||||||||
\(317\) | 142.521 | + | 531.897i | 0.449594 | + | 1.67791i | 0.703513 | + | 0.710682i | \(0.251614\pi\) |
−0.253919 | + | 0.967225i | \(0.581720\pi\) | |||||||
\(318\) | 10.4583 | − | 39.0311i | 0.0328879 | − | 0.122739i | ||||
\(319\) | 11.5601 | − | 6.67423i | 0.0362386 | − | 0.0209223i | ||||
\(320\) | 131.873 | + | 179.287i | 0.412104 | + | 0.560271i | ||||
\(321\) | 68.4103 | 0.213116 | ||||||||
\(322\) | −47.2033 | + | 755.468i | −0.146594 | + | 2.34617i | ||||
\(323\) | 33.7392 | + | 33.7392i | 0.104456 | + | 0.104456i | ||||
\(324\) | −226.914 | − | 131.009i | −0.700351 | − | 0.404348i | ||||
\(325\) | 77.7733 | − | 40.7839i | 0.239302 | − | 0.125489i | ||||
\(326\) | 19.8280 | + | 34.3431i | 0.0608222 | + | 0.105347i | ||||
\(327\) | 12.7603 | + | 47.6221i | 0.0390223 | + | 0.145633i | ||||
\(328\) | −842.861 | − | 842.861i | −2.56970 | − | 2.56970i | ||||
\(329\) | −153.251 | + | 456.026i | −0.465809 | + | 1.38610i | ||||
\(330\) | −28.9071 | − | 12.6676i | −0.0875973 | − | 0.0383866i | ||||
\(331\) | −311.306 | + | 539.198i | −0.940501 | + | 1.62900i | −0.175983 | + | 0.984393i | \(0.556310\pi\) |
−0.764518 | + | 0.644602i | \(0.777023\pi\) | |||||||
\(332\) | 817.688 | + | 219.099i | 2.46292 | + | 0.659937i | ||||
\(333\) | −67.9804 | + | 253.706i | −0.204145 | + | 0.761881i | ||||
\(334\) | −363.100 | − | 209.636i | −1.08713 | − | 0.627652i | ||||
\(335\) | 195.518 | − | 76.3714i | 0.583636 | − | 0.227974i | ||||
\(336\) | 72.7798 | + | 360.147i | 0.216606 | + | 1.07187i | ||||
\(337\) | 298.924 | − | 298.924i | 0.887015 | − | 0.887015i | −0.107220 | − | 0.994235i | \(-0.534195\pi\) |
0.994235 | + | 0.107220i | \(0.0341949\pi\) | |||||||
\(338\) | 555.418 | − | 148.824i | 1.64325 | − | 0.440307i | ||||
\(339\) | 72.7360 | − | 41.9941i | 0.214560 | − | 0.123877i | ||||
\(340\) | 480.299 | − | 600.287i | 1.41265 | − | 1.76555i | ||||
\(341\) | 18.3401 | − | 31.7659i | 0.0537831 | − | 0.0931551i | ||||
\(342\) | 52.2874 | − | 52.2874i | 0.152887 | − | 0.152887i | ||||
\(343\) | 63.8364 | − | 337.007i | 0.186112 | − | 0.982529i | ||||
\(344\) | − | 531.446i | − | 1.54490i | ||||||
\(345\) | 127.862 | + | 173.833i | 0.370615 | + | 0.503864i | ||||
\(346\) | −414.782 | − | 718.424i | −1.19879 | − | 2.07637i | ||||
\(347\) | −21.8083 | − | 5.84351i | −0.0628480 | − | 0.0168401i | 0.227258 | − | 0.973835i | \(-0.427024\pi\) |
−0.290106 | + | 0.956994i | \(0.593691\pi\) | |||||||
\(348\) | −152.402 | + | 40.8360i | −0.437937 | + | 0.117345i | ||||
\(349\) | 267.249i | 0.765758i | 0.923799 | + | 0.382879i | \(0.125067\pi\) | ||||
−0.923799 | + | 0.382879i | \(0.874933\pi\) | |||||||
\(350\) | −520.289 | − | 376.668i | −1.48654 | − | 1.07620i | ||||
\(351\) | 81.5832 | 0.232431 | ||||||||
\(352\) | −15.5489 | − | 58.0294i | −0.0441731 | − | 0.164856i | ||||
\(353\) | −82.2594 | + | 306.996i | −0.233030 | + | 0.869678i | 0.745998 | + | 0.665949i | \(0.231973\pi\) |
−0.979027 | + | 0.203730i | \(0.934694\pi\) | |||||||
\(354\) | −27.7004 | + | 15.9929i | −0.0782498 | + | 0.0451776i | ||||
\(355\) | −63.3289 | + | 46.5812i | −0.178391 | + | 0.131215i | ||||
\(356\) | 570.283 | 1.60192 | ||||||||
\(357\) | 149.069 | − | 74.0785i | 0.417560 | − | 0.207503i | ||||
\(358\) | 568.741 | + | 568.741i | 1.58866 | + | 1.58866i | ||||
\(359\) | −327.578 | − | 189.127i | −0.912473 | − | 0.526816i | −0.0312469 | − | 0.999512i | \(-0.509948\pi\) |
−0.881226 | + | 0.472695i | \(0.843281\pi\) | |||||||
\(360\) | −537.435 | − | 430.010i | −1.49287 | − | 1.19447i | ||||
\(361\) | −176.180 | − | 305.153i | −0.488033 | − | 0.845299i | ||||
\(362\) | −277.068 | − | 1034.03i | −0.765381 | − | 2.85644i | ||||
\(363\) | −123.912 | − | 123.912i | −0.341357 | − | 0.341357i | ||||
\(364\) | 154.100 | + | 174.640i | 0.423350 | + | 0.479780i | ||||
\(365\) | 67.4742 | + | 172.740i | 0.184861 | + | 0.473261i | ||||
\(366\) | 0.0441854 | − | 0.0765313i | 0.000120725 | − | 0.000209102i | ||||
\(367\) | 424.235 | + | 113.673i | 1.15595 | + | 0.309737i | 0.785348 | − | 0.619054i | \(-0.212484\pi\) |
0.370605 | + | 0.928791i | \(0.379150\pi\) | |||||||
\(368\) | −273.211 | + | 1019.64i | −0.742421 | + | 2.77075i | ||||
\(369\) | 352.275 | + | 203.386i | 0.954676 | + | 0.551183i | ||||
\(370\) | −282.278 | + | 644.151i | −0.762913 | + | 1.74095i | ||||
\(371\) | −39.4449 | + | 34.8055i | −0.106320 | + | 0.0938155i | ||||
\(372\) | −306.571 | + | 306.571i | −0.824117 | + | 0.824117i | ||||
\(373\) | 505.079 | − | 135.336i | 1.35410 | − | 0.362830i | 0.492454 | − | 0.870339i | \(-0.336100\pi\) |
0.861647 | + | 0.507509i | \(0.169433\pi\) | |||||||
\(374\) | −60.5738 | + | 34.9723i | −0.161962 | + | 0.0935089i | ||||
\(375\) | −182.669 | + | 12.8005i | −0.487118 | + | 0.0341347i | ||||
\(376\) | −690.172 | + | 1195.41i | −1.83556 | + | 3.17929i | ||||
\(377\) | −28.2433 | + | 28.2433i | −0.0749160 | + | 0.0749160i | ||||
\(378\) | −265.553 | − | 534.375i | −0.702521 | − | 1.41369i | ||||
\(379\) | − | 438.406i | − | 1.15674i | −0.815773 | − | 0.578372i | \(-0.803688\pi\) | ||
0.815773 | − | 0.578372i | \(-0.196312\pi\) | |||||||
\(380\) | 112.140 | − | 82.4841i | 0.295106 | − | 0.217063i | ||||
\(381\) | 31.5025 | + | 54.5639i | 0.0826837 | + | 0.143212i | ||||
\(382\) | −391.255 | − | 104.836i | −1.02423 | − | 0.274441i | ||||
\(383\) | 200.789 | − | 53.8012i | 0.524253 | − | 0.140473i | 0.0130198 | − | 0.999915i | \(-0.495856\pi\) |
0.511233 | + | 0.859442i | \(0.329189\pi\) | |||||||
\(384\) | − | 60.5331i | − | 0.157638i | ||||||
\(385\) | 22.2339 | + | 34.5522i | 0.0577505 | + | 0.0897459i | ||||
\(386\) | −1315.22 | −3.40730 | ||||||||
\(387\) | 46.9392 | + | 175.179i | 0.121290 | + | 0.452660i | ||||
\(388\) | −179.517 | + | 669.968i | −0.462674 | + | 1.72672i | ||||
\(389\) | −217.843 | + | 125.772i | −0.560007 | + | 0.323320i | −0.753148 | − | 0.657851i | \(-0.771466\pi\) |
0.193141 | + | 0.981171i | \(0.438132\pi\) | |||||||
\(390\) | 93.3608 | + | 14.2259i | 0.239387 | + | 0.0364768i | ||||
\(391\) | 478.237 | 1.22311 | ||||||||
\(392\) | 371.063 | − | 911.506i | 0.946590 | − | 2.32527i | ||||
\(393\) | 58.6913 | + | 58.6913i | 0.149342 | + | 0.149342i | ||||
\(394\) | −407.641 | − | 235.351i | −1.03462 | − | 0.597339i | ||||
\(395\) | −346.348 | + | 38.4583i | −0.876830 | + | 0.0973629i | ||||
\(396\) | 38.1063 | + | 66.0020i | 0.0962280 | + | 0.166672i | ||||
\(397\) | 69.2050 | + | 258.277i | 0.174320 | + | 0.650571i | 0.996666 | + | 0.0815838i | \(0.0259978\pi\) |
−0.822347 | + | 0.568987i | \(0.807336\pi\) | |||||||
\(398\) | 839.576 | + | 839.576i | 2.10949 | + | 2.10949i | ||||
\(399\) | 29.5448 | − | 5.97052i | 0.0740471 | − | 0.0149637i | ||||
\(400\) | −607.153 | − | 658.604i | −1.51788 | − | 1.64651i | ||||
\(401\) | 331.345 | − | 573.906i | 0.826296 | − | 1.43119i | −0.0746287 | − | 0.997211i | \(-0.523777\pi\) |
0.900925 | − | 0.433975i | \(-0.142890\pi\) | |||||||
\(402\) | 218.037 | + | 58.4229i | 0.542381 | + | 0.145331i | ||||
\(403\) | −28.4071 | + | 106.017i | −0.0704890 | + | 0.263069i | ||||
\(404\) | 1544.47 | + | 891.701i | 3.82295 | + | 2.20718i | ||||
\(405\) | 126.682 | + | 55.5142i | 0.312795 | + | 0.137072i | ||||
\(406\) | 276.927 | + | 93.0636i | 0.682087 | + | 0.229221i | ||||
\(407\) | 31.8108 | − | 31.8108i | 0.0781593 | − | 0.0781593i | ||||
\(408\) | 461.337 | − | 123.615i | 1.13073 | − | 0.302978i | ||||
\(409\) | 217.013 | − | 125.293i | 0.530595 | − | 0.306339i | −0.210664 | − | 0.977559i | \(-0.567562\pi\) |
0.741259 | + | 0.671219i | \(0.234229\pi\) | |||||||
\(410\) | 850.452 | + | 680.460i | 2.07427 | + | 1.65966i | ||||
\(411\) | 158.018 | − | 273.695i | 0.384472 | − | 0.665925i | ||||
\(412\) | −792.520 | + | 792.520i | −1.92359 | + | 1.92359i | ||||
\(413\) | 41.5597 | + | 2.59675i | 0.100629 | + | 0.00628752i | ||||
\(414\) | − | 741.149i | − | 1.79021i | ||||||
\(415\) | −441.763 | − | 67.3140i | −1.06449 | − | 0.162202i | ||||
\(416\) | 89.8823 | + | 155.681i | 0.216063 | + | 0.374233i | ||||
\(417\) | 239.776 | + | 64.2478i | 0.575003 | + | 0.154072i | ||||
\(418\) | −12.2337 | + | 3.27802i | −0.0292673 | + | 0.00784215i | ||||
\(419\) | 195.592i | 0.466807i | 0.972380 | + | 0.233403i | \(0.0749862\pi\) | ||||
−0.972380 | + | 0.233403i | \(0.925014\pi\) | |||||||
\(420\) | −148.146 | − | 462.508i | −0.352730 | − | 1.10121i | ||||
\(421\) | −134.668 | −0.319877 | −0.159939 | − | 0.987127i | \(-0.551130\pi\) | ||||
−0.159939 | + | 0.987127i | \(0.551130\pi\) | |||||||
\(422\) | −30.7318 | − | 114.692i | −0.0728241 | − | 0.271783i | ||||
\(423\) | 121.917 | − | 455.000i | 0.288220 | − | 1.07565i | ||||
\(424\) | −130.714 | + | 75.4680i | −0.308289 | + | 0.177991i | ||||
\(425\) | −217.017 | + | 342.920i | −0.510629 | + | 0.806871i | ||||
\(426\) | −84.5418 | −0.198455 | ||||||||
\(427\) | −0.103026 | + | 0.0511979i | −0.000241279 | + | 0.000119901i | ||||
\(428\) | −312.772 | − | 312.772i | −0.730777 | − | 0.730777i | ||||
\(429\) | −5.23164 | − | 3.02049i | −0.0121950 | − | 0.00704076i | ||||
\(430\) | 53.5921 | + | 482.640i | 0.124633 | + | 1.12242i | ||||
\(431\) | −259.076 | − | 448.733i | −0.601105 | − | 1.04114i | −0.992654 | − | 0.120987i | \(-0.961394\pi\) |
0.391549 | − | 0.920157i | \(-0.371939\pi\) | |||||||
\(432\) | −215.381 | − | 803.812i | −0.498566 | − | 1.86068i | ||||
\(433\) | −370.568 | − | 370.568i | −0.855815 | − | 0.855815i | 0.135027 | − | 0.990842i | \(-0.456888\pi\) |
−0.990842 | + | 0.135027i | \(0.956888\pi\) | |||||||
\(434\) | 786.881 | − | 159.016i | 1.81309 | − | 0.366396i | ||||
\(435\) | 77.5785 | − | 30.3030i | 0.178341 | − | 0.0696620i | ||||
\(436\) | 159.388 | − | 276.069i | 0.365570 | − | 0.633185i | ||||
\(437\) | 83.6464 | + | 22.4130i | 0.191410 | + | 0.0512883i | ||||
\(438\) | −51.6166 | + | 192.636i | −0.117846 | + | 0.439808i | ||||
\(439\) | −129.219 | − | 74.6045i | −0.294348 | − | 0.169942i | 0.345553 | − | 0.938399i | \(-0.387691\pi\) |
−0.639901 | + | 0.768457i | \(0.721025\pi\) | |||||||
\(440\) | 42.8928 | + | 109.809i | 0.0974835 | + | 0.249567i | ||||
\(441\) | −41.8053 | + | 333.232i | −0.0947967 | + | 0.755628i | ||||
\(442\) | 147.992 | − | 147.992i | 0.334824 | − | 0.334824i | ||||
\(443\) | −586.733 | + | 157.215i | −1.32445 | + | 0.354886i | −0.850645 | − | 0.525741i | \(-0.823788\pi\) |
−0.473809 | + | 0.880627i | \(0.657121\pi\) | |||||||
\(444\) | −460.508 | + | 265.874i | −1.03718 | + | 0.598816i | ||||
\(445\) | −299.198 | + | 33.2228i | −0.672354 | + | 0.0746580i | ||||
\(446\) | −473.076 | + | 819.391i | −1.06071 | + | 1.83720i | ||||
\(447\) | −154.724 | + | 154.724i | −0.346140 | + | 0.346140i | ||||
\(448\) | 172.318 | − | 259.603i | 0.384639 | − | 0.579470i | ||||
\(449\) | 653.166i | 1.45471i | 0.686259 | + | 0.727357i | \(0.259251\pi\) | ||||
−0.686259 | + | 0.727357i | \(0.740749\pi\) | |||||||
\(450\) | 531.442 | + | 336.323i | 1.18098 | + | 0.747385i | ||||
\(451\) | −34.8357 | − | 60.3372i | −0.0772410 | − | 0.133785i | ||||
\(452\) | −524.547 | − | 140.552i | −1.16050 | − | 0.310956i | ||||
\(453\) | 215.976 | − | 57.8707i | 0.476769 | − | 0.127750i | ||||
\(454\) | − | 767.995i | − | 1.69162i | ||||||
\(455\) | −91.0219 | − | 82.6471i | −0.200048 | − | 0.181642i | ||||
\(456\) | 86.4839 | 0.189658 | ||||||||
\(457\) | −26.9808 | − | 100.694i | −0.0590390 | − | 0.220336i | 0.930103 | − | 0.367298i | \(-0.119717\pi\) |
−0.989142 | + | 0.146962i | \(0.953051\pi\) | |||||||
\(458\) | 99.8562 | − | 372.668i | 0.218027 | − | 0.813687i | ||||
\(459\) | −326.499 | + | 188.504i | −0.711327 | + | 0.410685i | ||||
\(460\) | 210.180 | − | 1379.35i | 0.456913 | − | 2.99859i | ||||
\(461\) | −51.4142 | −0.111527 | −0.0557637 | − | 0.998444i | \(-0.517759\pi\) | ||||
−0.0557637 | + | 0.998444i | \(0.517759\pi\) | |||||||
\(462\) | −2.75542 | + | 44.0992i | −0.00596411 | + | 0.0954529i | ||||
\(463\) | −47.6581 | − | 47.6581i | −0.102933 | − | 0.102933i | 0.653765 | − | 0.756698i | \(-0.273189\pi\) |
−0.756698 | + | 0.653765i | \(0.773189\pi\) | |||||||
\(464\) | 352.835 | + | 203.709i | 0.760420 | + | 0.439028i | ||||
\(465\) | 142.982 | − | 178.702i | 0.307489 | − | 0.384305i | ||||
\(466\) | 93.8710 | + | 162.589i | 0.201440 | + | 0.348904i | ||||
\(467\) | −52.3282 | − | 195.292i | −0.112052 | − | 0.418183i | 0.886998 | − | 0.461774i | \(-0.152787\pi\) |
−0.999049 | + | 0.0435908i | \(0.986120\pi\) | |||||||
\(468\) | −161.254 | − | 161.254i | −0.344560 | − | 0.344560i | ||||
\(469\) | −194.432 | − | 220.349i | −0.414568 | − | 0.469827i | ||||
\(470\) | 506.241 | − | 1155.23i | 1.07711 | − | 2.45793i | ||||
\(471\) | −101.348 | + | 175.540i | −0.215176 | + | 0.372696i | ||||
\(472\) | 115.405 | + | 30.9227i | 0.244503 | + | 0.0655143i | ||||
\(473\) | 8.03967 | − | 30.0045i | 0.0169972 | − | 0.0634344i | ||||
\(474\) | −324.541 | − | 187.374i | −0.684685 | − | 0.395303i | ||||
\(475\) | −54.0289 | + | 49.8080i | −0.113745 | + | 0.104859i | ||||
\(476\) | −1020.23 | − | 342.857i | −2.14334 | − | 0.720287i | ||||
\(477\) | 36.4215 | − | 36.4215i | 0.0763554 | − | 0.0763554i | ||||
\(478\) | 207.154 | − | 55.5068i | 0.433377 | − | 0.116123i | ||||
\(479\) | −560.143 | + | 323.399i | −1.16940 | + | 0.675154i | −0.953539 | − | 0.301270i | \(-0.902590\pi\) |
−0.215862 | + | 0.976424i | \(0.569256\pi\) | |||||||
\(480\) | −41.3682 | − | 372.553i | −0.0861837 | − | 0.776153i | ||||
\(481\) | −67.3069 | + | 116.579i | −0.139931 | + | 0.242368i | ||||
\(482\) | 536.233 | − | 536.233i | 1.11252 | − | 1.11252i | ||||
\(483\) | 167.077 | − | 251.706i | 0.345915 | − | 0.521130i | ||||
\(484\) | 1133.06i | 2.34103i | ||||||||
\(485\) | 55.1533 | − | 361.955i | 0.113718 | − | 0.746300i | ||||
\(486\) | 457.975 | + | 793.236i | 0.942336 | + | 1.63217i | ||||
\(487\) | 501.060 | + | 134.259i | 1.02887 | + | 0.275685i | 0.733494 | − | 0.679695i | \(-0.237888\pi\) |
0.295377 | + | 0.955381i | \(0.404555\pi\) | |||||||
\(488\) | −0.318844 | + | 0.0854340i | −0.000653369 | + | 0.000175070i | ||||
\(489\) | − | 15.8275i | − | 0.0323671i | ||||||
\(490\) | −245.068 | + | 865.215i | −0.500138 | + | 1.76575i | ||||
\(491\) | 142.382 | 0.289984 | 0.144992 | − | 0.989433i | \(-0.453684\pi\) | ||||
0.144992 | + | 0.989433i | \(0.453684\pi\) | |||||||
\(492\) | 213.141 | + | 795.453i | 0.433213 | + | 1.61677i | ||||
\(493\) | 47.7725 | − | 178.289i | 0.0969016 | − | 0.361642i | ||||
\(494\) | 32.8205 | − | 18.9489i | 0.0664383 | − | 0.0383582i | ||||
\(495\) | −23.8374 | − | 32.4079i | −0.0481564 | − | 0.0654704i | ||||
\(496\) | 1119.54 | 2.25714 | ||||||||
\(497\) | 91.6986 | + | 60.8675i | 0.184504 | + | 0.122470i | ||||
\(498\) | −339.800 | − | 339.800i | −0.682329 | − | 0.682329i | ||||
\(499\) | 847.182 | + | 489.121i | 1.69776 | + | 0.980202i | 0.947880 | + | 0.318627i | \(0.103222\pi\) |
0.749879 | + | 0.661575i | \(0.230112\pi\) | |||||||
\(500\) | 893.689 | + | 776.641i | 1.78738 | + | 1.55328i | ||||
\(501\) | 83.6698 | + | 144.920i | 0.167006 | + | 0.289262i | ||||
\(502\) | 339.616 | + | 1267.46i | 0.676526 | + | 2.52483i | ||||
\(503\) | −233.167 | − | 233.167i | −0.463553 | − | 0.463553i | 0.436265 | − | 0.899818i | \(-0.356301\pi\) |
−0.899818 | + | 0.436265i | \(0.856301\pi\) | |||||||
\(504\) | −306.958 | + | 913.409i | −0.609044 | + | 1.81232i | ||||
\(505\) | −862.252 | − | 377.853i | −1.70743 | − | 0.748224i | ||||
\(506\) | −63.4714 | + | 109.936i | −0.125438 | + | 0.217264i | ||||
\(507\) | −221.678 | − | 59.3985i | −0.437235 | − | 0.117157i | ||||
\(508\) | 105.437 | − | 393.496i | 0.207553 | − | 0.774599i | ||||
\(509\) | −838.493 | − | 484.104i | −1.64733 | − | 0.951089i | −0.978126 | − | 0.208014i | \(-0.933300\pi\) |
−0.669208 | − | 0.743075i | \(-0.733366\pi\) | |||||||
\(510\) | −406.504 | + | 158.785i | −0.797066 | + | 0.311343i | ||||
\(511\) | 194.678 | − | 171.781i | 0.380975 | − | 0.336166i | ||||
\(512\) | −738.866 | + | 738.866i | −1.44310 | + | 1.44310i | ||||
\(513\) | −65.9410 | + | 17.6688i | −0.128540 | + | 0.0344422i | ||||
\(514\) | 46.6988 | − | 26.9616i | 0.0908538 | − | 0.0524544i | ||||
\(515\) | 369.625 | − | 461.964i | 0.717718 | − | 0.897017i | ||||
\(516\) | −183.581 | + | 317.972i | −0.355778 | + | 0.616225i | ||||
\(517\) | −57.0500 | + | 57.0500i | −0.110348 | + | 0.110348i | ||||
\(518\) | 982.684 | + | 61.4003i | 1.89707 | + | 0.118533i | ||||
\(519\) | 331.096i | 0.637949i | ||||||||
\(520\) | −209.016 | − | 284.164i | −0.401953 | − | 0.546470i | ||||
\(521\) | 13.0561 | + | 22.6139i | 0.0250597 | + | 0.0434048i | 0.878283 | − | 0.478141i | \(-0.158689\pi\) |
−0.853224 | + | 0.521545i | \(0.825356\pi\) | |||||||
\(522\) | −276.304 | − | 74.0355i | −0.529319 | − | 0.141831i | ||||
\(523\) | −55.3556 | + | 14.8325i | −0.105842 | + | 0.0283604i | −0.311351 | − | 0.950295i | \(-0.600782\pi\) |
0.205509 | + | 0.978655i | \(0.434115\pi\) | |||||||
\(524\) | − | 536.674i | − | 1.02419i | ||||||
\(525\) | 104.669 | + | 234.023i | 0.199369 | + | 0.445759i | ||||
\(526\) | 970.133 | 1.84436 | ||||||||
\(527\) | −131.274 | − | 489.920i | −0.249096 | − | 0.929639i | ||||
\(528\) | −15.9483 | + | 59.5197i | −0.0302050 | + | 0.112727i | ||||
\(529\) | 293.542 | − | 169.477i | 0.554900 | − | 0.320372i | ||||
\(530\) | 111.100 | − | 81.7188i | 0.209622 | − | 0.154186i | ||||
\(531\) | −40.7720 | −0.0767835 | ||||||||
\(532\) | −162.376 | − | 107.782i | −0.305218 | − | 0.202597i | ||||
\(533\) | 147.414 | + | 147.414i | 0.276574 | + | 0.276574i | ||||
\(534\) | −280.359 | − | 161.865i | −0.525017 | − | 0.303119i | ||||
\(535\) | 182.317 | + | 145.874i | 0.340779 | + | 0.272662i | ||||
\(536\) | −421.582 | − | 730.202i | −0.786534 | − | 1.36232i | ||||
\(537\) | −83.0862 | − | 310.082i | −0.154723 | − | 0.577434i | ||||
\(538\) | 676.142 | + | 676.142i | 1.25677 | + | 1.25677i | ||||
\(539\) | 34.7388 | − | 45.8486i | 0.0644504 | − | 0.0850623i | ||||
\(540\) | 400.200 | + | 1024.55i | 0.741111 | + | 1.89731i | ||||
\(541\) | 290.337 | − | 502.879i | 0.536667 | − | 0.929535i | −0.462413 | − | 0.886665i | \(-0.653016\pi\) |
0.999081 | − | 0.0428707i | \(-0.0136504\pi\) | |||||||
\(542\) | −1256.17 | − | 336.589i | −2.31765 | − | 0.621012i | ||||
\(543\) | −110.583 | + | 412.703i | −0.203653 | + | 0.760042i | ||||
\(544\) | −719.425 | − | 415.360i | −1.32247 | − | 0.763530i | ||||
\(545\) | −67.5399 | + | 154.124i | −0.123926 | + | 0.282797i | ||||
\(546\) | −26.1889 | − | 129.594i | −0.0479649 | − | 0.237352i | ||||
\(547\) | 200.743 | − | 200.743i | 0.366988 | − | 0.366988i | −0.499389 | − | 0.866378i | \(-0.666442\pi\) |
0.866378 | + | 0.499389i | \(0.166442\pi\) | |||||||
\(548\) | −1973.80 | + | 528.877i | −3.60182 | + | 0.965104i | ||||
\(549\) | 0.0975541 | − | 0.0563229i | 0.000177694 | − | 0.000102592i | ||||
\(550\) | −50.0271 | − | 95.3996i | −0.0909583 | − | 0.173454i | ||||
\(551\) | 16.7114 | − | 28.9449i | 0.0303292 | − | 0.0525317i | ||||
\(552\) | 612.933 | − | 612.933i | 1.11039 | − | 1.11039i | ||||
\(553\) | 217.111 | + | 436.895i | 0.392606 | + | 0.790045i | ||||
\(554\) | − | 339.749i | − | 0.613265i | ||||||
\(555\) | 226.115 | − | 166.318i | 0.407415 | − | 0.299672i | ||||
\(556\) | −802.517 | − | 1390.00i | −1.44338 | − | 2.50000i | ||||
\(557\) | 456.872 | + | 122.418i | 0.820236 | + | 0.219782i | 0.644450 | − | 0.764647i | \(-0.277087\pi\) |
0.175786 | + | 0.984428i | \(0.443753\pi\) | |||||||
\(558\) | −759.255 | + | 203.442i | −1.36067 | + | 0.364591i | ||||
\(559\) | 92.9484i | 0.166276i | ||||||||
\(560\) | −573.995 | + | 1115.00i | −1.02499 | + | 1.99107i | ||||
\(561\) | 27.9163 | 0.0497617 | ||||||||
\(562\) | 13.3884 | + | 49.9664i | 0.0238229 | + | 0.0889081i | ||||
\(563\) | 98.1984 | − | 366.481i | 0.174420 | − | 0.650944i | −0.822230 | − | 0.569156i | \(-0.807270\pi\) |
0.996650 | − | 0.0817883i | \(-0.0260631\pi\) | |||||||
\(564\) | 825.881 | − | 476.822i | 1.46433 | − | 0.845430i | ||||
\(565\) | 283.391 | + | 43.1819i | 0.501576 | + | 0.0764281i | ||||
\(566\) | −1498.98 | −2.64837 | ||||||||
\(567\) | 12.0753 | − | 193.260i | 0.0212968 | − | 0.340846i | ||||
\(568\) | 223.297 | + | 223.297i | 0.393128 | + | 0.393128i | ||||
\(569\) | 416.460 | + | 240.443i | 0.731916 | + | 0.422572i | 0.819123 | − | 0.573619i | \(-0.194461\pi\) |
−0.0872069 | + | 0.996190i | \(0.527794\pi\) | |||||||
\(570\) | −78.5415 | + | 8.72122i | −0.137792 | + | 0.0153004i | ||||
\(571\) | 419.663 | + | 726.877i | 0.734961 | + | 1.27299i | 0.954740 | + | 0.297440i | \(0.0961329\pi\) |
−0.219779 | + | 0.975550i | \(0.570534\pi\) | |||||||
\(572\) | 10.1094 | + | 37.7288i | 0.0176738 | + | 0.0659594i | ||||
\(573\) | 114.315 | + | 114.315i | 0.199503 | + | 0.199503i | ||||
\(574\) | 485.739 | − | 1445.40i | 0.846236 | − | 2.51813i | ||||
\(575\) | −29.9140 | + | 735.919i | −0.0520244 | + | 1.27986i | ||||
\(576\) | −152.544 | + | 264.213i | −0.264833 | + | 0.458704i | ||||
\(577\) | −697.804 | − | 186.976i | −1.20937 | − | 0.324049i | −0.402853 | − | 0.915265i | \(-0.631981\pi\) |
−0.806513 | + | 0.591216i | \(0.798648\pi\) | |||||||
\(578\) | 24.2194 | − | 90.3881i | 0.0419021 | − | 0.156381i | ||||
\(579\) | 454.602 | + | 262.464i | 0.785150 | + | 0.453306i | ||||
\(580\) | −493.235 | − | 216.144i | −0.850405 | − | 0.372662i | ||||
\(581\) | 123.920 | + | 613.210i | 0.213287 | + | 1.05544i | ||||
\(582\) | 278.413 | − | 278.413i | 0.478372 | − | 0.478372i | ||||
\(583\) | −8.52157 | + | 2.28335i | −0.0146168 | + | 0.00391655i | ||||
\(584\) | 645.134 | − | 372.468i | 1.10468 | − | 0.637788i | ||||
\(585\) | 93.9959 | + | 75.2076i | 0.160677 | + | 0.128560i | ||||
\(586\) | 708.404 | − | 1226.99i | 1.20888 | − | 2.09384i | ||||
\(587\) | −421.963 | + | 421.963i | −0.718847 | + | 0.718847i | −0.968369 | − | 0.249522i | \(-0.919726\pi\) |
0.249522 | + | 0.968369i | \(0.419726\pi\) | |||||||
\(588\) | −536.881 | + | 417.189i | −0.913063 | + | 0.709505i | ||||
\(589\) | − | 91.8421i | − | 0.155929i | ||||||
\(590\) | −107.925 | − | 16.4452i | −0.182924 | − | 0.0278732i | ||||
\(591\) | 93.9335 | + | 162.698i | 0.158940 | + | 0.275292i | ||||
\(592\) | 1326.31 | + | 355.382i | 2.24038 | + | 0.600308i | ||||
\(593\) | −376.987 | + | 101.013i | −0.635728 | + | 0.170343i | −0.562268 | − | 0.826955i | \(-0.690071\pi\) |
−0.0734605 | + | 0.997298i | \(0.523404\pi\) | |||||||
\(594\) | − | 100.073i | − | 0.168473i | ||||||
\(595\) | 555.236 | + | 120.444i | 0.933170 | + | 0.202426i | ||||
\(596\) | 1414.80 | 2.37383 | ||||||||
\(597\) | −122.652 | − | 457.744i | −0.205447 | − | 0.766740i | ||||
\(598\) | 98.3114 | − | 366.903i | 0.164400 | − | 0.613551i | ||||
\(599\) | 909.142 | − | 524.893i | 1.51777 | − | 0.876283i | 0.517984 | − | 0.855390i | \(-0.326683\pi\) |
0.999782 | − | 0.0208923i | \(-0.00665070\pi\) | |||||||
\(600\) | 161.364 | + | 717.645i | 0.268940 | + | 1.19608i | ||||
\(601\) | −205.229 | −0.341479 | −0.170739 | − | 0.985316i | \(-0.554616\pi\) | ||||
−0.170739 | + | 0.985316i | \(0.554616\pi\) | |||||||
\(602\) | 608.818 | − | 302.547i | 1.01133 | − | 0.502569i | ||||
\(603\) | 203.460 | + | 203.460i | 0.337412 | + | 0.337412i | ||||
\(604\) | −1252.03 | − | 722.860i | −2.07290 | − | 1.19679i | ||||
\(605\) | −66.0082 | − | 594.456i | −0.109104 | − | 0.982572i | ||||
\(606\) | −506.190 | − | 876.746i | −0.835297 | − | 1.44678i | ||||
\(607\) | −36.6899 | − | 136.929i | −0.0604447 | − | 0.225583i | 0.929096 | − | 0.369840i | \(-0.120587\pi\) |
−0.989540 | + | 0.144257i | \(0.953921\pi\) | |||||||
\(608\) | −106.365 | − | 106.365i | −0.174943 | − | 0.174943i | ||||
\(609\) | −77.1476 | − | 87.4308i | −0.126679 | − | 0.143565i | ||||
\(610\) | 0.280947 | − | 0.109741i | 0.000460569 | − | 0.000179903i | ||||
\(611\) | 120.709 | − | 209.074i | 0.197560 | − | 0.342184i | ||||
\(612\) | 1017.94 | + | 272.755i | 1.66330 | + | 0.445679i | ||||
\(613\) | −61.7096 | + | 230.303i | −0.100668 | + | 0.375699i | −0.997818 | − | 0.0660280i | \(-0.978967\pi\) |
0.897150 | + | 0.441727i | \(0.145634\pi\) | |||||||
\(614\) | 671.922 | + | 387.934i | 1.09434 | + | 0.631815i | ||||
\(615\) | −158.164 | − | 404.916i | −0.257178 | − | 0.658400i | ||||
\(616\) | 123.755 | − | 109.200i | 0.200901 | − | 0.177272i | ||||
\(617\) | −96.9272 | + | 96.9272i | −0.157094 | + | 0.157094i | −0.781278 | − | 0.624183i | \(-0.785432\pi\) |
0.624183 | + | 0.781278i | \(0.285432\pi\) | |||||||
\(618\) | 614.558 | − | 164.670i | 0.994431 | − | 0.266457i | ||||
\(619\) | −853.884 | + | 492.990i | −1.37946 | + | 0.796430i | −0.992094 | − | 0.125498i | \(-0.959947\pi\) |
−0.387363 | + | 0.921927i | \(0.626614\pi\) | |||||||
\(620\) | −1470.74 | + | 163.311i | −2.37216 | + | 0.263404i | ||||
\(621\) | −342.117 | + | 592.565i | −0.550914 | + | 0.954210i | ||||
\(622\) | −315.656 | + | 315.656i | −0.507485 | + | 0.507485i | ||||
\(623\) | 187.555 | + | 377.418i | 0.301051 | + | 0.605807i | ||||
\(624\) | − | 184.381i | − | 0.295483i | ||||||
\(625\) | −514.117 | − | 355.400i | −0.822587 | − | 0.568640i | ||||
\(626\) | 353.792 | + | 612.786i | 0.565163 | + | 0.978891i | ||||
\(627\) | 4.88272 | + | 1.30832i | 0.00778744 | + | 0.00208664i | ||||
\(628\) | 1265.93 | − | 339.206i | 2.01582 | − | 0.540136i | ||||
\(629\) | − | 622.072i | − | 0.988986i | ||||||
\(630\) | 186.658 | − | 860.479i | 0.296283 | − | 1.36584i | ||||
\(631\) | −930.705 | −1.47497 | −0.737484 | − | 0.675365i | \(-0.763986\pi\) | ||||
−0.737484 | + | 0.675365i | \(0.763986\pi\) | |||||||
\(632\) | 362.294 | + | 1352.10i | 0.573249 | + | 2.13940i | ||||
\(633\) | −12.2657 | + | 45.7760i | −0.0193770 | + | 0.0723160i | ||||
\(634\) | −1750.37 | + | 1010.58i | −2.76084 | + | 1.59397i | ||||
\(635\) | −32.3935 | + | 212.589i | −0.0510134 | + | 0.334786i | ||||
\(636\) | 104.278 | 0.163959 | ||||||||
\(637\) | −64.8979 | + | 159.420i | −0.101881 | + | 0.250267i | ||||
\(638\) | 34.6443 | + | 34.6443i | 0.0543014 | + | 0.0543014i | ||||
\(639\) | −93.3273 | − | 53.8825i | −0.146052 | − | 0.0843232i | ||||
\(640\) | 129.077 | − | 161.323i | 0.201683 | − | 0.252068i | ||||
\(641\) | 177.889 | + | 308.112i | 0.277518 | + | 0.480674i | 0.970767 | − | 0.240023i | \(-0.0771550\pi\) |
−0.693250 | + | 0.720698i | \(0.743822\pi\) | |||||||
\(642\) | 64.9881 | + | 242.539i | 0.101228 | + | 0.377786i | ||||
\(643\) | 366.310 | + | 366.310i | 0.569689 | + | 0.569689i | 0.932041 | − | 0.362352i | \(-0.118026\pi\) |
−0.362352 | + | 0.932041i | \(0.618026\pi\) | |||||||
\(644\) | −1914.68 | + | 386.925i | −2.97310 | + | 0.600815i | ||||
\(645\) | 77.7915 | − | 177.518i | 0.120607 | − | 0.275222i | ||||
\(646\) | −87.5660 | + | 151.669i | −0.135551 | + | 0.234781i | ||||
\(647\) | 790.128 | + | 211.714i | 1.22122 | + | 0.327225i | 0.811154 | − | 0.584832i | \(-0.198840\pi\) |
0.410064 | + | 0.912057i | \(0.365506\pi\) | |||||||
\(648\) | 143.796 | − | 536.653i | 0.221907 | − | 0.828168i | ||||
\(649\) | 6.04777 | + | 3.49168i | 0.00931860 | + | 0.00538010i | ||||
\(650\) | 218.476 | + | 236.990i | 0.336117 | + | 0.364600i | ||||
\(651\) | −303.717 | − | 102.066i | −0.466539 | − | 0.156784i | ||||
\(652\) | −72.3635 | + | 72.3635i | −0.110987 | + | 0.110987i | ||||
\(653\) | −30.7771 | + | 8.24671i | −0.0471319 | + | 0.0126290i | −0.282308 | − | 0.959324i | \(-0.591100\pi\) |
0.235176 | + | 0.971953i | \(0.424433\pi\) | |||||||
\(654\) | −156.715 | + | 90.4796i | −0.239626 | + | 0.138348i | ||||
\(655\) | 31.2649 | + | 281.565i | 0.0477326 | + | 0.429870i | ||||
\(656\) | 1063.25 | − | 1841.60i | 1.62080 | − | 2.80731i | ||||
\(657\) | −179.757 | + | 179.757i | −0.273602 | + | 0.273602i | ||||
\(658\) | −1762.36 | − | 110.116i | −2.67836 | − | 0.167350i | ||||
\(659\) | − | 495.313i | − | 0.751612i | −0.926698 | − | 0.375806i | \(-0.877366\pi\) | ||
0.926698 | − | 0.375806i | \(-0.122634\pi\) | |||||||
\(660\) | 12.2689 | − | 80.5175i | 0.0185893 | − | 0.121996i | ||||
\(661\) | 428.787 | + | 742.682i | 0.648695 | + | 1.12357i | 0.983435 | + | 0.181262i | \(0.0580182\pi\) |
−0.334740 | + | 0.942311i | \(0.608648\pi\) | |||||||
\(662\) | −2207.38 | − | 591.465i | −3.33441 | − | 0.893452i | ||||
\(663\) | −80.6866 | + | 21.6199i | −0.121699 | + | 0.0326092i | ||||
\(664\) | 1795.00i | 2.70331i | ||||||||
\(665\) | 91.4694 | + | 47.0879i | 0.137548 | + | 0.0708089i | ||||
\(666\) | −964.058 | −1.44753 | ||||||||
\(667\) | −86.7024 | − | 323.578i | −0.129989 | − | 0.485124i | ||||
\(668\) | 280.038 | − | 1045.12i | 0.419219 | − | 1.56455i | ||||
\(669\) | 327.035 | − | 188.814i | 0.488842 | − | 0.282233i | ||||
\(670\) | 456.501 | + | 620.630i | 0.681345 | + | 0.926313i | ||||
\(671\) | −0.0192938 | −2.87538e−5 | ||||||||
\(672\) | −469.951 | + | 233.538i | −0.699333 | + | 0.347527i | ||||
\(673\) | −692.154 | − | 692.154i | −1.02846 | − | 1.02846i | −0.999583 | − | 0.0288771i | \(-0.990807\pi\) |
−0.0288771 | − | 0.999583i | \(-0.509193\pi\) | |||||||
\(674\) | 1343.76 | + | 775.822i | 1.99371 | + | 1.15107i | ||||
\(675\) | −269.651 | − | 514.213i | −0.399483 | − | 0.761798i | ||||
\(676\) | 741.944 | + | 1285.09i | 1.09755 | + | 1.90101i | ||||
\(677\) | −116.061 | − | 433.146i | −0.171435 | − | 0.639802i | −0.997132 | − | 0.0756885i | \(-0.975885\pi\) |
0.825697 | − | 0.564114i | \(-0.190782\pi\) | |||||||
\(678\) | 217.981 | + | 217.981i | 0.321507 | + | 0.321507i | ||||
\(679\) | −502.430 | + | 101.533i | −0.739956 | + | 0.149533i | ||||
\(680\) | 1493.07 | + | 654.290i | 2.19570 | + | 0.962191i | ||||
\(681\) | −153.261 | + | 265.456i | −0.225053 | + | 0.389803i | ||||
\(682\) | 130.044 | + | 34.8452i | 0.190680 | + | 0.0510926i | ||||
\(683\) | −134.721 | + | 502.785i | −0.197249 | + | 0.736142i | 0.794425 | + | 0.607363i | \(0.207772\pi\) |
−0.991673 | + | 0.128779i | \(0.958894\pi\) | |||||||
\(684\) | 165.260 | + | 95.4130i | 0.241608 | + | 0.139493i | ||||
\(685\) | 1004.74 | − | 392.461i | 1.46677 | − | 0.572936i | ||||
\(686\) | 1255.45 | − | 93.8259i | 1.83011 | − | 0.136772i | ||||
\(687\) | −108.885 | + | 108.885i | −0.158493 | + | 0.158493i | ||||
\(688\) | 915.789 | − | 245.385i | 1.33109 | − | 0.356664i | ||||
\(689\) | 22.8616 | − | 13.1991i | 0.0331808 | − | 0.0191570i | ||||
\(690\) | −494.834 | + | 618.453i | −0.717151 | + | 0.896309i | ||||
\(691\) | 124.505 | − | 215.649i | 0.180181 | − | 0.312083i | −0.761761 | − | 0.647858i | \(-0.775665\pi\) |
0.941942 | + | 0.335775i | \(0.108998\pi\) | |||||||
\(692\) | 1513.77 | − | 1513.77i | 2.18753 | − | 2.18753i | ||||
\(693\) | −31.1483 | + | 46.9258i | −0.0449470 | + | 0.0677140i | ||||
\(694\) | − | 82.8692i | − | 0.119408i | ||||||
\(695\) | 502.016 | + | 682.508i | 0.722324 | + | 0.982027i | ||||
\(696\) | −167.277 | − | 289.733i | −0.240341 | − | 0.416283i | ||||
\(697\) | −930.569 | − | 249.345i | −1.33511 | − | 0.357741i | ||||
\(698\) | −947.494 | + | 253.880i | −1.35744 | + | 0.363725i | ||||
\(699\) | − | 74.9316i | − | 0.107198i | ||||||
\(700\) | 591.410 | − | 1548.50i | 0.844871 | − | 2.21215i | ||||
\(701\) | 954.149 | 1.36113 | 0.680563 | − | 0.732690i | \(-0.261735\pi\) | ||||
0.680563 | + | 0.732690i | \(0.261735\pi\) | |||||||
\(702\) | 77.5020 | + | 289.241i | 0.110402 | + | 0.412025i | ||||
\(703\) | 29.1540 | − | 108.804i | 0.0414708 | − | 0.154771i | ||||
\(704\) | 45.2541 | − | 26.1274i | 0.0642813 | − | 0.0371128i | ||||
\(705\) | −405.518 | + | 298.277i | −0.575203 | + | 0.423088i | ||||
\(706\) | −1166.56 | −1.65234 | ||||||||
\(707\) | −82.1896 | + | 1315.41i | −0.116251 | + | 1.86055i | ||||
\(708\) | −58.3668 | − | 58.3668i | −0.0824390 | − | 0.0824390i | ||||
\(709\) | 19.0690 | + | 11.0095i | 0.0268957 | + | 0.0155282i | 0.513388 | − | 0.858157i | \(-0.328390\pi\) |
−0.486492 | + | 0.873685i | \(0.661724\pi\) | |||||||
\(710\) | −225.308 | − | 180.272i | −0.317335 | − | 0.253905i | ||||
\(711\) | −238.844 | − | 413.691i | −0.335927 | − | 0.581843i | ||||
\(712\) | 312.972 | + | 1168.03i | 0.439568 | + | 1.64049i | ||||
\(713\) | −650.908 | − | 650.908i | −0.912915 | − | 0.912915i | ||||
\(714\) | 404.246 | + | 458.129i | 0.566171 | + | 0.641638i | ||||
\(715\) | −7.50183 | − | 19.2054i | −0.0104921 | − | 0.0268607i | ||||
\(716\) | −1037.83 | + | 1797.57i | −1.44948 | + | 2.51057i | ||||
\(717\) | −82.6793 | − | 22.1539i | −0.115313 | − | 0.0308980i | ||||
\(718\) | 359.332 | − | 1341.04i | 0.500462 | − | 1.86775i | ||||
\(719\) | 217.588 | + | 125.625i | 0.302626 | + | 0.174721i | 0.643622 | − | 0.765343i | \(-0.277431\pi\) |
−0.340996 | + | 0.940065i | \(0.610764\pi\) | |||||||
\(720\) | 492.845 | − | 1124.66i | 0.684506 | − | 1.56203i | ||||
\(721\) | −785.141 | − | 263.853i | −1.08896 | − | 0.365954i | ||||
\(722\) | 914.508 | − | 914.508i | 1.26663 | − | 1.26663i | ||||
\(723\) | −292.359 | + | 78.3372i | −0.404369 | + | 0.108350i | ||||
\(724\) | 2392.47 | − | 1381.29i | 3.30451 | − | 1.90786i | ||||
\(725\) | 271.366 | + | 84.6652i | 0.374298 | + | 0.116780i | ||||
\(726\) | 321.600 | − | 557.027i | 0.442975 | − | 0.767255i | ||||
\(727\) | −157.277 | + | 157.277i | −0.216338 | + | 0.216338i | −0.806953 | − | 0.590615i | \(-0.798885\pi\) |
0.590615 | + | 0.806953i | \(0.298885\pi\) | |||||||
\(728\) | −273.120 | + | 411.463i | −0.375165 | + | 0.565196i | ||||
\(729\) | − | 116.613i | − | 0.159963i | ||||||
\(730\) | −548.327 | + | 403.319i | −0.751132 | + | 0.552491i | ||||
\(731\) | −214.765 | − | 371.983i | −0.293796 | − | 0.508869i | ||||
\(732\) | 0.220281 | + | 0.0590242i | 0.000300931 | + | 8.06341e-5i | ||||
\(733\) | 322.220 | − | 86.3385i | 0.439590 | − | 0.117788i | −0.0322341 | − | 0.999480i | \(-0.510262\pi\) |
0.471825 | + | 0.881692i | \(0.343596\pi\) | |||||||
\(734\) | 1612.05i | 2.19625i | ||||||||
\(735\) | 257.370 | − | 250.154i | 0.350163 | − | 0.340346i | ||||
\(736\) | −1507.68 | −2.04848 | ||||||||
\(737\) | −12.7553 | − | 47.6036i | −0.0173071 | − | 0.0645910i | ||||
\(738\) | −386.424 | + | 1442.15i | −0.523609 | + | 1.95414i | ||||
\(739\) | 342.328 | − | 197.643i | 0.463231 | − | 0.267446i | −0.250171 | − | 0.968202i | \(-0.580487\pi\) |
0.713402 | + | 0.700755i | \(0.247153\pi\) | |||||||
\(740\) | −1794.21 | − | 273.394i | −2.42461 | − | 0.369452i | ||||
\(741\) | −15.1258 | −0.0204127 | ||||||||
\(742\) | −160.870 | − | 106.782i | −0.216805 | − | 0.143911i | ||||
\(743\) | 500.455 | + | 500.455i | 0.673560 | + | 0.673560i | 0.958535 | − | 0.284975i | \(-0.0919853\pi\) |
−0.284975 | + | 0.958535i | \(0.591985\pi\) | |||||||
\(744\) | −796.154 | − | 459.660i | −1.07010 | − | 0.617822i | ||||
\(745\) | −742.273 | + | 82.4218i | −0.996340 | + | 0.110633i | ||||
\(746\) | 959.625 | + | 1662.12i | 1.28636 | + | 2.22804i | ||||
\(747\) | −158.541 | − | 591.682i | −0.212236 | − | 0.792077i | ||||
\(748\) | −127.633 | − | 127.633i | −0.170633 | − | 0.170633i | ||||
\(749\) | 104.131 | − | 309.860i | 0.139027 | − | 0.413698i | ||||
\(750\) | −218.914 | − | 635.467i | −0.291885 | − | 0.847289i | ||||
\(751\) | 399.343 | − | 691.683i | 0.531749 | − | 0.921016i | −0.467564 | − | 0.883959i | \(-0.654868\pi\) |
0.999313 | − | 0.0370570i | \(-0.0117983\pi\) | |||||||
\(752\) | −2378.61 | − | 637.348i | −3.16305 | − | 0.847537i | ||||
\(753\) | 135.547 | − | 505.870i | 0.180010 | − | 0.671806i | ||||
\(754\) | −126.963 | − | 73.3021i | −0.168386 | − | 0.0972177i | ||||
\(755\) | 698.987 | + | 306.308i | 0.925810 | + | 0.405706i | ||||
\(756\) | 1154.67 | − | 1018.86i | 1.52734 | − | 1.34770i | ||||
\(757\) | −456.836 | + | 456.836i | −0.603482 | + | 0.603482i | −0.941235 | − | 0.337753i | \(-0.890333\pi\) |
0.337753 | + | 0.941235i | \(0.390333\pi\) | |||||||
\(758\) | 1554.31 | − | 416.475i | 2.05053 | − | 0.549439i | ||||
\(759\) | 43.8775 | − | 25.3327i | 0.0578096 | − | 0.0333764i | ||||
\(760\) | 230.483 | + | 184.413i | 0.303268 | + | 0.242649i | ||||
\(761\) | 523.481 | − | 906.696i | 0.687886 | − | 1.19145i | −0.284635 | − | 0.958636i | \(-0.591872\pi\) |
0.972521 | − | 0.232817i | \(-0.0747943\pi\) | |||||||
\(762\) | −163.522 | + | 163.522i | −0.214596 | + | 0.214596i | ||||
\(763\) | 235.124 | + | 14.6911i | 0.308158 | + | 0.0192544i | ||||
\(764\) | − | 1045.30i | − | 1.36820i | ||||||
\(765\) | −549.948 | − | 83.7989i | −0.718887 | − | 0.109541i | ||||
\(766\) | 381.489 | + | 660.758i | 0.498027 | + | 0.862608i | ||||
\(767\) | −20.1841 | − | 5.40830i | −0.0263156 | − | 0.00705124i | ||||
\(768\) | 466.556 | − | 125.013i | 0.607495 | − | 0.162778i | ||||
\(769\) | 627.616i | 0.816146i | 0.912949 | + | 0.408073i | \(0.133799\pi\) | ||||
−0.912949 | + | 0.408073i | \(0.866201\pi\) | |||||||
\(770\) | −101.378 | + | 111.651i | −0.131660 | + | 0.145001i | ||||
\(771\) | −21.5218 | −0.0279141 | ||||||||
\(772\) | −878.453 | − | 3278.43i | −1.13789 | − | 4.24667i | ||||
\(773\) | −47.5625 | + | 177.506i | −0.0615297 | + | 0.229632i | −0.989843 | − | 0.142168i | \(-0.954593\pi\) |
0.928313 | + | 0.371800i | \(0.121259\pi\) | |||||||
\(774\) | −576.482 | + | 332.832i | −0.744809 | + | 0.430016i | ||||
\(775\) | 762.108 | − | 171.361i | 0.983365 | − | 0.221111i | ||||
\(776\) | −1470.72 | −1.89526 | ||||||||
\(777\) | −327.410 | − | 217.327i | −0.421377 | − | 0.279700i | ||||
\(778\) | −652.850 | − | 652.850i | −0.839139 | − | 0.839139i | ||||
\(779\) | −151.076 | − | 87.2239i | −0.193936 | − | 0.111969i | ||||
\(780\) | 26.8962 | + | 242.222i | 0.0344823 | + | 0.310541i | ||||
\(781\) | 9.22891 | + | 15.9849i | 0.0118168 | + | 0.0204673i | ||||
\(782\) | 454.313 | + | 1695.52i | 0.580962 | + | 2.16818i | ||||
\(783\) | 186.736 | + | 186.736i | 0.238488 | + | 0.238488i | ||||
\(784\) | 1742.04 | + | 218.547i | 2.22199 | + | 0.278758i | ||||
\(785\) | −644.408 | + | 251.713i | −0.820902 | + | 0.320653i | ||||
\(786\) | −152.326 | + | 263.837i | −0.193799 | + | 0.335670i | ||||
\(787\) | 1048.26 | + | 280.881i | 1.33197 | + | 0.356901i | 0.853451 | − | 0.521173i | \(-0.174506\pi\) |
0.478523 | + | 0.878075i | \(0.341172\pi\) | |||||||
\(788\) | 314.390 | − | 1173.32i | 0.398972 | − | 1.48898i | ||||
\(789\) | −335.325 | − | 193.600i | −0.424999 | − | 0.245374i | ||||
\(790\) | −465.370 | − | 1191.39i | −0.589076 | − | 1.50809i | ||||
\(791\) | −79.4945 | − | 393.374i | −0.100499 | − | 0.497313i | ||||
\(792\) | −114.270 | + | 114.270i | −0.144280 | + | 0.144280i | ||||
\(793\) | 0.0557649 | − | 0.0149422i | 7.03215e−5 | − | 1.88426e-5i | ||||
\(794\) | −849.939 | + | 490.712i | −1.07045 | + | 0.618026i | ||||
\(795\) | −54.7092 | + | 6.07489i | −0.0688166 | + | 0.00764137i | ||||
\(796\) | −1532.04 | + | 2653.57i | −1.92467 | + | 3.33363i | ||||
\(797\) | 174.158 | − | 174.158i | 0.218516 | − | 0.218516i | −0.589357 | − | 0.807873i | \(-0.700619\pi\) |
0.807873 | + | 0.589357i | \(0.200619\pi\) | |||||||
\(798\) | 49.2344 | + | 99.0749i | 0.0616972 | + | 0.124154i | ||||
\(799\) | 1115.63i | 1.39629i | ||||||||
\(800\) | 684.164 | − | 1081.08i | 0.855205 | − | 1.35135i | ||||
\(801\) | −206.329 | − | 357.373i | −0.257589 | − | 0.446158i | ||||
\(802\) | 2349.47 | + | 629.538i | 2.92951 | + | 0.784960i | ||||
\(803\) | 42.0578 | − | 11.2693i | 0.0523758 | − | 0.0140341i | ||||
\(804\) | 582.522i | 0.724529i | ||||||||
\(805\) | 981.991 | − | 314.542i | 1.21986 | − | 0.390736i | ||||
\(806\) | −402.853 | −0.499817 | ||||||||
\(807\) | −98.7763 | − | 368.638i | −0.122399 | − | 0.456800i | ||||
\(808\) | −978.735 | + | 3652.69i | −1.21131 | + | 4.52066i | ||||
\(809\) | 394.796 | − | 227.936i | 0.488005 | − | 0.281750i | −0.235741 | − | 0.971816i | \(-0.575752\pi\) |
0.723746 | + | 0.690066i | \(0.242418\pi\) | |||||||
\(810\) | −76.4728 | + | 501.869i | −0.0944109 | + | 0.619592i | ||||
\(811\) | −509.754 | −0.628550 | −0.314275 | − | 0.949332i | \(-0.601761\pi\) | ||||
−0.314275 | + | 0.949332i | \(0.601761\pi\) | |||||||
\(812\) | −47.0150 | + | 752.454i | −0.0579002 | + | 0.926667i | ||||
\(813\) | 367.022 | + | 367.022i | 0.451441 | + | 0.451441i | ||||
\(814\) | 143.000 | + | 82.5612i | 0.175676 | + | 0.101427i | ||||
\(815\) | 33.7497 | − | 42.1810i | 0.0414107 | − | 0.0517559i | ||||
\(816\) | 426.027 | + | 737.901i | 0.522092 | + | 0.904291i | ||||
\(817\) | −20.1303 | − | 75.1272i | −0.0246392 | − | 0.0919549i | ||||
\(818\) | 650.365 | + | 650.365i | 0.795067 | + | 0.795067i | ||||
\(819\) | 53.6862 | − | 159.753i | 0.0655509 | − | 0.195058i | ||||
\(820\) | −1128.15 | + | 2574.41i | −1.37579 | + | 3.13952i | ||||
\(821\) | −534.939 | + | 926.542i | −0.651571 | + | 1.12855i | 0.331171 | + | 0.943571i | \(0.392556\pi\) |
−0.982742 | + | 0.184983i | \(0.940777\pi\) | |||||||
\(822\) | 1120.46 | + | 300.226i | 1.36309 | + | 0.365239i | ||||
\(823\) | 115.190 | − | 429.895i | 0.139964 | − | 0.522351i | −0.859964 | − | 0.510354i | \(-0.829514\pi\) |
0.999928 | − | 0.0119972i | \(-0.00381891\pi\) | |||||||
\(824\) | −2058.14 | − | 1188.27i | −2.49775 | − | 1.44208i | ||||
\(825\) | −1.74618 | + | 42.9581i | −0.00211658 | + | 0.0520704i | ||||
\(826\) | 30.2743 | + | 149.811i | 0.0366517 | + | 0.181369i | ||||
\(827\) | 645.053 | − | 645.053i | 0.779992 | − | 0.779992i | −0.199837 | − | 0.979829i | \(-0.564041\pi\) |
0.979829 | + | 0.199837i | \(0.0640414\pi\) | |||||||
\(828\) | 1847.46 | − | 495.025i | 2.23123 | − | 0.597856i | ||||
\(829\) | −30.6402 | + | 17.6901i | −0.0369604 | + | 0.0213391i | −0.518366 | − | 0.855159i | \(-0.673460\pi\) |
0.481406 | + | 0.876498i | \(0.340126\pi\) | |||||||
\(830\) | −181.011 | − | 1630.15i | −0.218086 | − | 1.96404i | ||||
\(831\) | −67.8003 | + | 117.434i | −0.0815888 | + | 0.141316i | ||||
\(832\) | −110.563 | + | 110.563i | −0.132889 | + | 0.132889i | ||||
\(833\) | −108.628 | − | 787.957i | −0.130406 | − | 0.945927i | ||||
\(834\) | 911.125i | 1.09248i | ||||||||
\(835\) | −86.0363 | + | 564.632i | −0.103038 | + | 0.676206i | ||||
\(836\) | −16.3422 | − | 28.3055i | −0.0195481 | − | 0.0338583i | ||||
\(837\) | 700.950 | + | 187.819i | 0.837455 | + | 0.224396i | ||||
\(838\) | −693.443 | + | 185.807i | −0.827497 | + | 0.221727i | ||||
\(839\) | − | 1257.73i | − | 1.49908i | −0.661957 | − | 0.749541i | \(-0.730274\pi\) | ||
0.661957 | − | 0.749541i | \(-0.269726\pi\) | |||||||
\(840\) | 865.987 | − | 557.253i | 1.03094 | − | 0.663396i | ||||
\(841\) | 711.707 | 0.846263 | ||||||||
\(842\) | −127.932 | − | 477.447i | −0.151938 | − | 0.567039i | ||||
\(843\) | 5.34360 | − | 19.9426i | 0.00633878 | − | 0.0236567i | ||||
\(844\) | 265.367 | − | 153.210i | 0.314416 | − | 0.181528i | ||||
\(845\) | −464.124 | − | 630.994i | −0.549260 | − | 0.746739i | ||||
\(846\) | 1728.95 | 2.04368 | ||||||||
\(847\) | −749.867 | + | 372.640i | −0.885321 | + | 0.439952i | ||||
\(848\) | −190.402 | − | 190.402i | −0.224530 | − | 0.224530i | ||||
\(849\) | 518.119 | + | 299.136i | 0.610269 | + | 0.352339i | ||||
\(850\) | −1421.93 | − | 443.638i | −1.67286 | − | 0.521927i | ||||
\(851\) | −564.500 | − | 977.743i | −0.663338 | − | 1.14893i | ||||
\(852\) | −56.4668 | − | 210.737i | −0.0662756 | − | 0.247344i | ||||
\(853\) | 703.443 | + | 703.443i | 0.824669 | + | 0.824669i | 0.986774 | − | 0.162105i | \(-0.0518282\pi\) |
−0.162105 | + | 0.986774i | \(0.551828\pi\) | |||||||
\(854\) | −0.279387 | − | 0.316627i | −0.000327151 | − | 0.000370758i | ||||
\(855\) | −92.2619 | − | 40.4307i | −0.107909 | − | 0.0472874i | ||||
\(856\) | 468.957 | − | 812.258i | 0.547847 | − | 0.948899i | ||||
\(857\) | 54.1673 | + | 14.5141i | 0.0632057 | + | 0.0169359i | 0.290283 | − | 0.956941i | \(-0.406250\pi\) |
−0.227078 | + | 0.973877i | \(0.572917\pi\) | |||||||
\(858\) | 5.73877 | − | 21.4174i | 0.00668855 | − | 0.0249620i | ||||
\(859\) | −1435.21 | − | 828.621i | −1.67080 | − | 0.964635i | −0.967193 | − | 0.254042i | \(-0.918240\pi\) |
−0.703603 | − | 0.710593i | \(-0.748427\pi\) | |||||||
\(860\) | −1167.28 | + | 455.951i | −1.35730 | + | 0.530176i | ||||
\(861\) | −456.340 | + | 402.667i | −0.530011 | + | 0.467674i | ||||
\(862\) | 1344.80 | − | 1344.80i | 1.56009 | − | 1.56009i | ||||
\(863\) | −251.406 | + | 67.3640i | −0.291316 | + | 0.0780580i | −0.401518 | − | 0.915851i | \(-0.631517\pi\) |
0.110201 | + | 0.993909i | \(0.464850\pi\) | |||||||
\(864\) | 1029.31 | − | 594.275i | 1.19134 | − | 0.687818i | ||||
\(865\) | −706.010 | + | 882.385i | −0.816197 | + | 1.02010i | ||||
\(866\) | 961.764 | − | 1665.82i | 1.11058 | − | 1.92358i | ||||
\(867\) | −26.4092 | + | 26.4092i | −0.0304605 | + | 0.0304605i | ||||
\(868\) | 921.947 | + | 1855.24i | 1.06215 | + | 2.13738i | ||||
\(869\) | 81.8178i | 0.0941516i | ||||||||
\(870\) | 181.132 | + | 246.256i | 0.208198 | + | 0.283053i | ||||
\(871\) | 73.7336 | + | 127.710i | 0.0846540 | + | 0.146625i | ||||
\(872\) | 652.905 | + | 174.945i | 0.748745 | + | 0.200626i | ||||
\(873\) | 484.791 | − | 129.899i | 0.555316 | − | 0.148796i | ||||
\(874\) | 317.848i | 0.363670i | ||||||||
\(875\) | −220.071 | + | 846.873i | −0.251510 | + | 0.967855i | ||||
\(876\) | −514.658 | −0.587509 | ||||||||
\(877\) | 390.105 | + | 1455.89i | 0.444817 | + | 1.66008i | 0.716418 | + | 0.697671i | \(0.245780\pi\) |
−0.271601 | + | 0.962410i | \(0.587553\pi\) | |||||||
\(878\) | 141.745 | − | 528.999i | 0.161440 | − | 0.602504i | ||||
\(879\) | −489.717 | + | 282.738i | −0.557129 | + | 0.321659i | ||||
\(880\) | −169.419 | + | 124.615i | −0.192522 | + | 0.141608i | ||||
\(881\) | −87.7715 | −0.0996272 | −0.0498136 | − | 0.998759i | \(-0.515863\pi\) | ||||
−0.0498136 | + | 0.998759i | \(0.515863\pi\) | |||||||
\(882\) | −1221.14 | + | 168.347i | −1.38451 | + | 0.190870i | ||||
\(883\) | −472.621 | − | 472.621i | −0.535245 | − | 0.535245i | 0.386884 | − | 0.922129i | \(-0.373551\pi\) |
−0.922129 | + | 0.386884i | \(0.873551\pi\) | |||||||
\(884\) | 467.746 | + | 270.053i | 0.529124 | + | 0.305490i | ||||
\(885\) | 34.0223 | + | 27.2218i | 0.0384433 | + | 0.0307591i | ||||
\(886\) | −1114.76 | − | 1930.83i | −1.25820 | − | 2.17926i | ||||
\(887\) | 309.901 | + | 1156.57i | 0.349381 | + | 1.30391i | 0.887409 | + | 0.460982i | \(0.152503\pi\) |
−0.538028 | + | 0.842927i | \(0.680831\pi\) | |||||||
\(888\) | −797.280 | − | 797.280i | −0.897838 | − | 0.897838i | ||||
\(889\) | 295.095 | − | 59.6339i | 0.331941 | − | 0.0670798i | ||||
\(890\) | −402.017 | − | 1029.20i | −0.451704 | − | 1.15641i | ||||
\(891\) | 16.2369 | − | 28.1231i | 0.0182232 | − | 0.0315636i | ||||
\(892\) | −2358.47 | − | 631.949i | −2.64402 | − | 0.708463i | ||||
\(893\) | −52.2851 | + | 195.131i | −0.0585499 | + | 0.218511i | ||||
\(894\) | −695.537 | − | 401.569i | −0.778006 | − | 0.449182i | ||||
\(895\) | 439.773 | − | 1003.55i | 0.491367 | − | 1.12129i | ||||
\(896\) | −274.181 | − | 92.1405i | −0.306005 | − | 0.102835i | ||||
\(897\) | −107.200 | + | 107.200i | −0.119510 | + | 0.119510i | ||||
\(898\) | −2315.71 | + | 620.492i | −2.57874 | + | 0.690971i | ||||
\(899\) | −307.683 | + | 177.641i | −0.342251 | + | 0.197599i | ||||
\(900\) | −483.393 | + | 1549.36i | −0.537103 | + | 1.72151i | ||||
\(901\) | −60.9953 | + | 105.647i | −0.0676974 | + | 0.117255i | ||||
\(902\) | 180.824 | − | 180.824i | 0.200470 | − | 0.200470i | ||||
\(903\) | −270.813 | − | 16.9210i | −0.299903 | − | 0.0187386i | ||||
\(904\) | − | 1151.49i | − | 1.27377i | ||||||
\(905\) | −1174.73 | + | 864.069i | −1.29805 | + | 0.954772i | ||||
\(906\) | 410.344 | + | 710.737i | 0.452919 | + | 0.784478i | ||||
\(907\) | −720.930 | − | 193.173i | −0.794851 | − | 0.212980i | −0.161529 | − | 0.986868i | \(-0.551643\pi\) |
−0.633322 | + | 0.773888i | \(0.718309\pi\) | |||||||
\(908\) | 1914.38 | − | 512.955i | 2.10834 | − | 0.564929i | ||||
\(909\) | − | 1290.48i | − | 1.41966i | ||||||
\(910\) | 206.545 | − | 401.218i | 0.226972 | − | 0.440899i | ||||
\(911\) | −929.888 | −1.02073 | −0.510366 | − | 0.859957i | \(-0.670490\pi\) | ||||
−0.510366 | + | 0.859957i | \(0.670490\pi\) | |||||||
\(912\) | 39.9323 | + | 149.029i | 0.0437854 | + | 0.163409i | ||||
\(913\) | −27.1546 | + | 101.342i | −0.0297422 | + | 0.110999i | ||||
\(914\) | 331.364 | − | 191.313i | 0.362543 | − | 0.209314i | ||||
\(915\) | −0.119009 | − | 0.0181341i | −0.000130064 | − | 1.98186e-5i | ||||
\(916\) | 995.644 | 1.08695 | ||||||||
\(917\) | 355.176 | − | 176.501i | 0.387323 | − | 0.192477i | ||||
\(918\) | −978.481 | − | 978.481i | −1.06588 | − | 1.06588i | ||||
\(919\) | 671.557 | + | 387.724i | 0.730748 | + | 0.421897i | 0.818696 | − | 0.574228i | \(-0.194698\pi\) |
−0.0879480 | + | 0.996125i | \(0.528031\pi\) | |||||||
\(920\) | 2940.48 | − | 326.510i | 3.19617 | − | 0.354902i | ||||
\(921\) | −154.832 | − | 268.177i | −0.168113 | − | 0.291181i | ||||
\(922\) | −48.8421 | − | 182.281i | −0.0529741 | − | 0.197702i | ||||
\(923\) | −39.0540 | − | 39.0540i | −0.0423120 | − | 0.0423120i | ||||
\(924\) | −111.766 | + | 22.5861i | −0.120959 | + | 0.0244439i | ||||
\(925\) | 957.255 | + | 38.9110i | 1.03487 | + | 0.0420660i | ||||
\(926\) | 123.691 | − | 214.239i | 0.133576 | − | 0.231360i | ||||
\(927\) | 783.375 | + | 209.905i | 0.845064 | + | 0.226434i | ||||
\(928\) | −150.606 | + | 562.071i | −0.162291 | + | 0.605680i | ||||
\(929\) | 1303.62 | + | 752.648i | 1.40326 | + | 0.810170i | 0.994725 | − | 0.102575i | \(-0.0327080\pi\) |
0.408531 | + | 0.912745i | \(0.366041\pi\) | |||||||
\(930\) | 769.391 | + | 337.160i | 0.827302 | + | 0.362538i | ||||
\(931\) | 17.9286 | − | 142.909i | 0.0192573 | − | 0.153501i | ||||
\(932\) | −342.588 | + | 342.588i | −0.367583 | + | 0.367583i | ||||
\(933\) | 172.098 | − | 46.1135i | 0.184457 | − | 0.0494250i | ||||
\(934\) | 642.667 | − | 371.044i | 0.688081 | − | 0.397263i | ||||
\(935\) | 74.3982 | + | 59.5271i | 0.0795702 | + | 0.0636654i | ||||
\(936\) | 241.778 | − | 418.771i | 0.258309 | − | 0.447405i | ||||
\(937\) | 422.890 | − | 422.890i | 0.451323 | − | 0.451323i | −0.444471 | − | 0.895793i | \(-0.646608\pi\) |
0.895793 | + | 0.444471i | \(0.146608\pi\) | |||||||
\(938\) | 596.508 | − | 898.657i | 0.635936 | − | 0.958056i | ||||
\(939\) | − | 282.411i | − | 0.300757i | ||||||
\(940\) | 3217.76 | + | 490.309i | 3.42315 | + | 0.521605i | ||||
\(941\) | 402.993 | + | 698.004i | 0.428260 | + | 0.741768i | 0.996719 | − | 0.0809436i | \(-0.0257934\pi\) |
−0.568459 | + | 0.822712i | \(0.692460\pi\) | |||||||
\(942\) | −718.628 | − | 192.556i | −0.762875 | − | 0.204412i | ||||
\(943\) | −1688.89 | + | 452.538i | −1.79098 | + | 0.479892i | ||||
\(944\) | 213.145i | 0.225789i | ||||||||
\(945\) | −546.438 | + | 601.810i | −0.578241 | + | 0.636836i | ||||
\(946\) | 114.014 | 0.120522 | ||||||||
\(947\) | −34.4640 | − | 128.621i | −0.0363928 | − | 0.135820i | 0.945339 | − | 0.326089i | \(-0.105731\pi\) |
−0.981732 | + | 0.190269i | \(0.939064\pi\) | |||||||
\(948\) | 250.300 | − | 934.131i | 0.264029 | − | 0.985370i | ||||
\(949\) | −112.832 | + | 65.1437i | −0.118896 | + | 0.0686446i | ||||
\(950\) | −227.913 | − | 144.235i | −0.239909 | − | 0.151826i | ||||
\(951\) | 806.683 | 0.848247 | ||||||||
\(952\) | 142.319 | − | 2277.76i | 0.149495 | − | 2.39260i | ||||
\(953\) | 25.9574 | + | 25.9574i | 0.0272376 | + | 0.0272376i | 0.720594 | − | 0.693357i | \(-0.243869\pi\) |
−0.693357 | + | 0.720594i | \(0.743869\pi\) | |||||||
\(954\) | 163.727 | + | 94.5277i | 0.171621 | + | 0.0990856i | ||||
\(955\) | 60.8958 | + | 548.415i | 0.0637652 | + | 0.574257i | ||||
\(956\) | 276.723 | + | 479.298i | 0.289459 | + | 0.501358i | ||||
\(957\) | −5.06112 | − | 18.8883i | −0.00528852 | − | 0.0197370i | ||||
\(958\) | −1678.69 | − | 1678.69i | −1.75228 | − | 1.75228i | ||||
\(959\) | −999.158 | − | 1132.34i | −1.04187 | − | 1.18075i | ||||
\(960\) | 303.695 | − | 118.626i | 0.316349 | − | 0.123569i | ||||
\(961\) | −7.63849 | + | 13.2303i | −0.00794848 | + | 0.0137672i | ||||
\(962\) | −477.254 | − | 127.880i | −0.496106 | − | 0.132931i | ||||
\(963\) | −82.8400 | + | 309.163i | −0.0860228 | + | 0.321042i | ||||
\(964\) | 1694.82 | + | 978.507i | 1.75812 | + | 1.01505i | ||||
\(965\) | 651.869 | + | 1668.85i | 0.675512 | + | 1.72937i | ||||
\(966\) | 1051.11 | + | 353.232i | 1.08810 | + | 0.365665i | ||||
\(967\) | −478.254 | + | 478.254i | −0.494575 | + | 0.494575i | −0.909744 | − | 0.415169i | \(-0.863722\pi\) |
0.415169 | + | 0.909744i | \(0.363722\pi\) | |||||||
\(968\) | −2320.68 | + | 621.824i | −2.39740 | + | 0.642380i | ||||
\(969\) | 60.5340 | − | 34.9493i | 0.0624706 | − | 0.0360674i | ||||
\(970\) | 1335.65 | − | 148.311i | 1.37696 | − | 0.152897i | ||||
\(971\) | 103.956 | − | 180.057i | 0.107061 | − | 0.185435i | −0.807517 | − | 0.589844i | \(-0.799189\pi\) |
0.914578 | + | 0.404409i | \(0.132523\pi\) | |||||||
\(972\) | −1671.41 | + | 1671.41i | −1.71955 | + | 1.71955i | ||||
\(973\) | 655.982 | − | 988.255i | 0.674185 | − | 1.01568i | ||||
\(974\) | 1903.98i | 1.95480i | ||||||||
\(975\) | −28.2221 | − | 125.514i | −0.0289457 | − | 0.128733i | ||||
\(976\) | −0.294440 | − | 0.509986i | −0.000301681 | − | 0.000522526i | ||||
\(977\) | −430.304 | − | 115.300i | −0.440434 | − | 0.118014i | 0.0317858 | − | 0.999495i | \(-0.489881\pi\) |
−0.472220 | + | 0.881481i | \(0.656547\pi\) | |||||||
\(978\) | 56.1142 | − | 15.0357i | 0.0573764 | − | 0.0153740i | ||||
\(979\) | 70.6795i | 0.0721956i | ||||||||
\(980\) | −2320.40 | − | 32.9882i | −2.36776 | − | 0.0336614i | ||||
\(981\) | −230.668 | −0.235135 | ||||||||
\(982\) | 135.259 | + | 504.794i | 0.137739 | + | 0.514047i | ||||
\(983\) | 35.3591 | − | 131.962i | 0.0359706 | − | 0.134244i | −0.945606 | − | 0.325315i | \(-0.894529\pi\) |
0.981576 | + | 0.191071i | \(0.0611962\pi\) | |||||||
\(984\) | −1512.24 | + | 873.093i | −1.53683 | + | 0.887289i | ||||
\(985\) | −96.5903 | + | 633.894i | −0.0980612 | + | 0.643548i | ||||
\(986\) | 677.481 | 0.687101 | ||||||||
\(987\) | 587.181 | + | 389.757i | 0.594915 | + | 0.394891i | ||||
\(988\) | 69.1552 | + | 69.1552i | 0.0699952 | + | 0.0699952i | ||||
\(989\) | −675.114 | − | 389.777i | −0.682623 | − | 0.394112i | ||||
\(990\) | 92.2524 | − | 115.299i | 0.0931842 | − | 0.116463i | ||||
\(991\) | 160.541 | + | 278.066i | 0.161999 | + | 0.280591i | 0.935586 | − | 0.353100i | \(-0.114872\pi\) |
−0.773586 | + | 0.633691i | \(0.781539\pi\) | |||||||
\(992\) | 413.850 | + | 1544.51i | 0.417188 | + | 1.55697i | ||||
\(993\) | 644.943 | + | 644.943i | 0.649490 | + | 0.649490i | ||||
\(994\) | −128.685 | + | 382.927i | −0.129462 | + | 0.385238i | ||||
\(995\) | 649.194 | − | 1481.44i | 0.652456 | − | 1.48889i | ||||
\(996\) | 620.059 | − | 1073.97i | 0.622550 | − | 1.07829i | ||||
\(997\) | −34.8501 | − | 9.33806i | −0.0349550 | − | 0.00936616i | 0.241299 | − | 0.970451i | \(-0.422426\pi\) |
−0.276254 | + | 0.961085i | \(0.589093\pi\) | |||||||
\(998\) | −929.305 | + | 3468.21i | −0.931167 | + | 3.47516i | ||||
\(999\) | 770.786 | + | 445.013i | 0.771557 | + | 0.445459i |
(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.23.6 | yes | 24 | |
3.2 | odd | 2 | 315.3.ca.a.163.1 | 24 | |||
5.2 | odd | 4 | inner | 35.3.l.a.2.1 | ✓ | 24 | |
5.3 | odd | 4 | 175.3.p.c.107.6 | 24 | |||
5.4 | even | 2 | 175.3.p.c.93.1 | 24 | |||
7.2 | even | 3 | 245.3.g.c.148.6 | 12 | |||
7.3 | odd | 6 | 245.3.m.b.18.1 | 24 | |||
7.4 | even | 3 | inner | 35.3.l.a.18.1 | yes | 24 | |
7.5 | odd | 6 | 245.3.g.b.148.6 | 12 | |||
7.6 | odd | 2 | 245.3.m.b.128.6 | 24 | |||
15.2 | even | 4 | 315.3.ca.a.37.6 | 24 | |||
21.11 | odd | 6 | 315.3.ca.a.298.6 | 24 | |||
35.2 | odd | 12 | 245.3.g.c.197.6 | 12 | |||
35.4 | even | 6 | 175.3.p.c.18.6 | 24 | |||
35.12 | even | 12 | 245.3.g.b.197.6 | 12 | |||
35.17 | even | 12 | 245.3.m.b.67.6 | 24 | |||
35.18 | odd | 12 | 175.3.p.c.32.1 | 24 | |||
35.27 | even | 4 | 245.3.m.b.177.1 | 24 | |||
35.32 | odd | 12 | inner | 35.3.l.a.32.6 | yes | 24 | |
105.32 | even | 12 | 315.3.ca.a.172.1 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
35.3.l.a.2.1 | ✓ | 24 | 5.2 | odd | 4 | inner | |
35.3.l.a.18.1 | yes | 24 | 7.4 | even | 3 | inner | |
35.3.l.a.23.6 | yes | 24 | 1.1 | even | 1 | trivial | |
35.3.l.a.32.6 | yes | 24 | 35.32 | odd | 12 | inner | |
175.3.p.c.18.6 | 24 | 35.4 | even | 6 | |||
175.3.p.c.32.1 | 24 | 35.18 | odd | 12 | |||
175.3.p.c.93.1 | 24 | 5.4 | even | 2 | |||
175.3.p.c.107.6 | 24 | 5.3 | odd | 4 | |||
245.3.g.b.148.6 | 12 | 7.5 | odd | 6 | |||
245.3.g.b.197.6 | 12 | 35.12 | even | 12 | |||
245.3.g.c.148.6 | 12 | 7.2 | even | 3 | |||
245.3.g.c.197.6 | 12 | 35.2 | odd | 12 | |||
245.3.m.b.18.1 | 24 | 7.3 | odd | 6 | |||
245.3.m.b.67.6 | 24 | 35.17 | even | 12 | |||
245.3.m.b.128.6 | 24 | 7.6 | odd | 2 | |||
245.3.m.b.177.1 | 24 | 35.27 | even | 4 | |||
315.3.ca.a.37.6 | 24 | 15.2 | even | 4 | |||
315.3.ca.a.163.1 | 24 | 3.2 | odd | 2 | |||
315.3.ca.a.172.1 | 24 | 105.32 | even | 12 | |||
315.3.ca.a.298.6 | 24 | 21.11 | odd | 6 |