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 | 32.2 | ||
Character | \(\chi\) | \(=\) | 35.32 |
Dual form | 35.3.l.a.23.2 |
$q$-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 \(\left(\mathbb{Z}/35\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.471334 | + | 1.75904i | −0.235667 | + | 0.879522i | 0.742180 | + | 0.670201i | \(0.233792\pi\) |
−0.977847 | + | 0.209321i | \(0.932875\pi\) | |||||||
\(3\) | 0.0524492 | + | 0.195743i | 0.0174831 | + | 0.0652477i | 0.974116 | − | 0.226048i | \(-0.0725805\pi\) |
−0.956633 | + | 0.291295i | \(0.905914\pi\) | |||||||
\(4\) | 0.592022 | + | 0.341804i | 0.148005 | + | 0.0854510i | ||||
\(5\) | −1.13206 | + | 4.87016i | −0.226412 | + | 0.974032i | ||||
\(6\) | −0.369042 | −0.0615070 | ||||||||
\(7\) | −0.563209 | − | 6.97731i | −0.0804585 | − | 0.996758i | ||||
\(8\) | −6.03113 | + | 6.03113i | −0.753891 | + | 0.753891i | ||||
\(9\) | 7.75866 | − | 4.47947i | 0.862074 | − | 0.497719i | ||||
\(10\) | −8.03325 | − | 4.28681i | −0.803325 | − | 0.428681i | ||||
\(11\) | 6.67094 | − | 11.5544i | 0.606449 | − | 1.05040i | −0.385371 | − | 0.922762i | \(-0.625927\pi\) |
0.991821 | − | 0.127639i | \(-0.0407400\pi\) | |||||||
\(12\) | −0.0358547 | + | 0.133812i | −0.00298789 | + | 0.0111510i | ||||
\(13\) | 4.91251 | − | 4.91251i | 0.377885 | − | 0.377885i | −0.492454 | − | 0.870339i | \(-0.663900\pi\) |
0.870339 | + | 0.492454i | \(0.163900\pi\) | |||||||
\(14\) | 12.5388 | + | 2.29793i | 0.895632 | + | 0.164138i | ||||
\(15\) | −1.01268 | + | 0.0338433i | −0.0675117 | + | 0.00225622i | ||||
\(16\) | −6.39912 | − | 11.0836i | −0.399945 | − | 0.692726i | ||||
\(17\) | −19.4385 | + | 5.20854i | −1.14344 | + | 0.306385i | −0.780334 | − | 0.625362i | \(-0.784951\pi\) |
−0.363108 | + | 0.931747i | \(0.618284\pi\) | |||||||
\(18\) | 4.22265 | + | 15.7592i | 0.234592 | + | 0.875509i | ||||
\(19\) | −14.0516 | + | 8.11267i | −0.739555 | + | 0.426983i | −0.821908 | − | 0.569621i | \(-0.807090\pi\) |
0.0823522 | + | 0.996603i | \(0.473757\pi\) | |||||||
\(20\) | −2.33484 | + | 2.49630i | −0.116742 | + | 0.124815i | ||||
\(21\) | 1.33622 | − | 0.476199i | 0.0636296 | − | 0.0226761i | ||||
\(22\) | 17.1805 | + | 17.1805i | 0.780931 | + | 0.780931i | ||||
\(23\) | 18.7480 | + | 5.02351i | 0.815131 | + | 0.218414i | 0.642217 | − | 0.766523i | \(-0.278015\pi\) |
0.172914 | + | 0.984937i | \(0.444682\pi\) | |||||||
\(24\) | −1.49688 | − | 0.864224i | −0.0623700 | − | 0.0360093i | ||||
\(25\) | −22.4369 | − | 11.0266i | −0.897475 | − | 0.441064i | ||||
\(26\) | 6.32588 | + | 10.9567i | 0.243303 | + | 0.421413i | ||||
\(27\) | 2.57341 | + | 2.57341i | 0.0953114 | + | 0.0953114i | ||||
\(28\) | 2.05144 | − | 4.32322i | 0.0732657 | − | 0.154401i | ||||
\(29\) | 29.5639i | 1.01944i | 0.860339 | + | 0.509722i | \(0.170252\pi\) | ||||
−0.860339 | + | 0.509722i | \(0.829748\pi\) | |||||||
\(30\) | 0.417777 | − | 1.79729i | 0.0139259 | − | 0.0599098i | ||||
\(31\) | 9.49369 | − | 16.4435i | 0.306248 | − | 0.530437i | −0.671290 | − | 0.741194i | \(-0.734260\pi\) |
0.977538 | + | 0.210757i | \(0.0675930\pi\) | |||||||
\(32\) | −10.4420 | + | 2.79793i | −0.326313 | + | 0.0874352i | ||||
\(33\) | 2.61158 | + | 0.699772i | 0.0791389 | + | 0.0212052i | ||||
\(34\) | − | 36.6482i | − | 1.07789i | ||||||
\(35\) | 34.6182 | + | 5.15580i | 0.989091 | + | 0.147309i | ||||
\(36\) | 6.12440 | 0.170122 | ||||||||
\(37\) | 1.92294 | − | 7.17651i | 0.0519714 | − | 0.193960i | −0.935059 | − | 0.354491i | \(-0.884654\pi\) |
0.987031 | + | 0.160531i | \(0.0513208\pi\) | |||||||
\(38\) | −7.64756 | − | 28.5411i | −0.201252 | − | 0.751081i | ||||
\(39\) | 1.21925 | + | 0.703933i | 0.0312627 | + | 0.0180496i | ||||
\(40\) | −22.5450 | − | 36.2001i | −0.563624 | − | 0.905003i | ||||
\(41\) | −52.1667 | −1.27236 | −0.636179 | − | 0.771541i | \(-0.719486\pi\) | ||||
−0.636179 | + | 0.771541i | \(0.719486\pi\) | |||||||
\(42\) | 0.207848 | + | 2.57492i | 0.00494876 | + | 0.0613076i | ||||
\(43\) | −11.3609 | + | 11.3609i | −0.264206 | + | 0.264206i | −0.826760 | − | 0.562554i | \(-0.809819\pi\) |
0.562554 | + | 0.826760i | \(0.309819\pi\) | |||||||
\(44\) | 7.89869 | − | 4.56031i | 0.179516 | − | 0.103643i | ||||
\(45\) | 13.0325 | + | 42.8569i | 0.289610 | + | 0.952376i | ||||
\(46\) | −17.6732 | + | 30.6108i | −0.384199 | + | 0.665452i | ||||
\(47\) | 14.2885 | − | 53.3255i | 0.304011 | − | 1.13459i | −0.629782 | − | 0.776772i | \(-0.716856\pi\) |
0.933793 | − | 0.357814i | \(-0.116478\pi\) | |||||||
\(48\) | 1.83391 | − | 1.83391i | 0.0382065 | − | 0.0382065i | ||||
\(49\) | −48.3656 | + | 7.85937i | −0.987053 | + | 0.160395i | ||||
\(50\) | 29.9716 | − | 34.2703i | 0.599431 | − | 0.685405i | ||||
\(51\) | −2.03907 | − | 3.53178i | −0.0399818 | − | 0.0692505i | ||||
\(52\) | 4.58742 | − | 1.22920i | 0.0882197 | − | 0.0236384i | ||||
\(53\) | −3.27711 | − | 12.2303i | −0.0618323 | − | 0.230761i | 0.928094 | − | 0.372347i | \(-0.121447\pi\) |
−0.989926 | + | 0.141585i | \(0.954780\pi\) | |||||||
\(54\) | −5.73967 | + | 3.31380i | −0.106290 | + | 0.0613667i | ||||
\(55\) | 48.7199 | + | 45.5688i | 0.885817 | + | 0.828524i | ||||
\(56\) | 45.4778 | + | 38.6842i | 0.812104 | + | 0.690790i | ||||
\(57\) | −2.32499 | − | 2.32499i | −0.0407894 | − | 0.0407894i | ||||
\(58\) | −52.0041 | − | 13.9345i | −0.896623 | − | 0.240249i | ||||
\(59\) | 12.0029 | + | 6.92989i | 0.203439 | + | 0.117456i | 0.598259 | − | 0.801303i | \(-0.295859\pi\) |
−0.394819 | + | 0.918759i | \(0.629193\pi\) | |||||||
\(60\) | −0.611094 | − | 0.326101i | −0.0101849 | − | 0.00543501i | ||||
\(61\) | 57.3589 | + | 99.3486i | 0.940311 | + | 1.62867i | 0.764879 | + | 0.644174i | \(0.222799\pi\) |
0.175432 | + | 0.984492i | \(0.443868\pi\) | |||||||
\(62\) | 24.4502 | + | 24.4502i | 0.394358 | + | 0.394358i | ||||
\(63\) | −35.6244 | − | 51.6117i | −0.565466 | − | 0.819233i | ||||
\(64\) | − | 70.8797i | − | 1.10750i | ||||||
\(65\) | 18.3634 | + | 29.4859i | 0.282514 | + | 0.453630i | ||||
\(66\) | −2.46186 | + | 4.26406i | −0.0373009 | + | 0.0646070i | ||||
\(67\) | 56.0993 | − | 15.0318i | 0.837302 | − | 0.224355i | 0.185406 | − | 0.982662i | \(-0.440640\pi\) |
0.651897 | + | 0.758308i | \(0.273973\pi\) | |||||||
\(68\) | −13.2883 | − | 3.56060i | −0.195417 | − | 0.0523617i | ||||
\(69\) | 3.93327i | 0.0570040i | ||||||||
\(70\) | −25.3860 | + | 58.4648i | −0.362657 | + | 0.835211i | ||||
\(71\) | −86.5580 | −1.21913 | −0.609563 | − | 0.792737i | \(-0.708655\pi\) | ||||
−0.609563 | + | 0.792737i | \(0.708655\pi\) | |||||||
\(72\) | −19.7773 | + | 73.8097i | −0.274684 | + | 1.02514i | ||||
\(73\) | 6.50169 | + | 24.2646i | 0.0890643 | + | 0.332392i | 0.996053 | − | 0.0887630i | \(-0.0282914\pi\) |
−0.906989 | + | 0.421155i | \(0.861625\pi\) | |||||||
\(74\) | 11.7175 | + | 6.76507i | 0.158344 | + | 0.0914199i | ||||
\(75\) | 0.981586 | − | 4.97021i | 0.0130878 | − | 0.0662694i | ||||
\(76\) | −11.0918 | −0.145944 | ||||||||
\(77\) | −84.3758 | − | 40.0376i | −1.09579 | − | 0.519969i | ||||
\(78\) | −1.81292 | + | 1.81292i | −0.0232426 | + | 0.0232426i | ||||
\(79\) | −23.0541 | + | 13.3103i | −0.291824 | + | 0.168485i | −0.638764 | − | 0.769402i | \(-0.720554\pi\) |
0.346940 | + | 0.937887i | \(0.387221\pi\) | |||||||
\(80\) | 61.2231 | − | 18.6175i | 0.765289 | − | 0.232718i | ||||
\(81\) | 39.9464 | − | 69.1893i | 0.493166 | − | 0.854189i | ||||
\(82\) | 24.5880 | − | 91.7635i | 0.299853 | − | 1.11907i | ||||
\(83\) | 32.6537 | − | 32.6537i | 0.393418 | − | 0.393418i | −0.482486 | − | 0.875904i | \(-0.660266\pi\) |
0.875904 | + | 0.482486i | \(0.160266\pi\) | |||||||
\(84\) | 0.953838 | + | 0.174805i | 0.0113552 | + | 0.00208102i | ||||
\(85\) | −3.36086 | − | 100.565i | −0.0395395 | − | 1.18312i | ||||
\(86\) | −14.6295 | − | 25.3390i | −0.170110 | − | 0.294640i | ||||
\(87\) | −5.78692 | + | 1.55060i | −0.0665164 | + | 0.0178230i | ||||
\(88\) | 29.4528 | + | 109.919i | 0.334691 | + | 1.24908i | ||||
\(89\) | −62.6554 | + | 36.1741i | −0.703993 | + | 0.406451i | −0.808833 | − | 0.588038i | \(-0.799900\pi\) |
0.104840 | + | 0.994489i | \(0.466567\pi\) | |||||||
\(90\) | −81.5299 | + | 2.72471i | −0.905888 | + | 0.0302745i | ||||
\(91\) | −37.0428 | − | 31.5093i | −0.407064 | − | 0.346256i | ||||
\(92\) | 9.38217 | + | 9.38217i | 0.101980 | + | 0.101980i | ||||
\(93\) | 3.71665 | + | 0.995873i | 0.0399640 | + | 0.0107083i | ||||
\(94\) | 87.0673 | + | 50.2683i | 0.926248 | + | 0.534769i | ||||
\(95\) | −23.6028 | − | 77.6173i | −0.248451 | − | 0.817024i | ||||
\(96\) | −1.09535 | − | 1.89720i | −0.0114099 | − | 0.0197625i | ||||
\(97\) | 47.8969 | + | 47.8969i | 0.493783 | + | 0.493783i | 0.909496 | − | 0.415713i | \(-0.136468\pi\) |
−0.415713 | + | 0.909496i | \(0.636468\pi\) | |||||||
\(98\) | 8.97139 | − | 88.7816i | 0.0915448 | − | 0.905935i | ||||
\(99\) | − | 119.529i | − | 1.20736i | ||||||
\(100\) | −9.51419 | − | 14.1970i | −0.0951419 | − | 0.141970i | ||||
\(101\) | 36.1136 | − | 62.5505i | 0.357560 | − | 0.619312i | −0.629993 | − | 0.776601i | \(-0.716942\pi\) |
0.987553 | + | 0.157289i | \(0.0502754\pi\) | |||||||
\(102\) | 7.17363 | − | 1.92217i | 0.0703298 | − | 0.0188448i | ||||
\(103\) | 156.285 | + | 41.8764i | 1.51733 | + | 0.406567i | 0.918861 | − | 0.394581i | \(-0.129110\pi\) |
0.598467 | + | 0.801148i | \(0.295777\pi\) | |||||||
\(104\) | 59.2559i | 0.569768i | ||||||||
\(105\) | 0.806484 | + | 7.04669i | 0.00768080 | + | 0.0671113i | ||||
\(106\) | 23.0583 | 0.217531 | ||||||||
\(107\) | −22.8061 | + | 85.1137i | −0.213142 | + | 0.795455i | 0.773671 | + | 0.633588i | \(0.218418\pi\) |
−0.986812 | + | 0.161868i | \(0.948248\pi\) | |||||||
\(108\) | 0.643913 | + | 2.40311i | 0.00596215 | + | 0.0222511i | ||||
\(109\) | 11.9836 | + | 6.91876i | 0.109942 | + | 0.0634748i | 0.553963 | − | 0.832542i | \(-0.313115\pi\) |
−0.444021 | + | 0.896016i | \(0.646448\pi\) | |||||||
\(110\) | −103.121 | + | 64.2223i | −0.937463 | + | 0.583839i | ||||
\(111\) | 1.50561 | 0.0135641 | ||||||||
\(112\) | −73.7297 | + | 50.8910i | −0.658301 | + | 0.454384i | ||||
\(113\) | −77.3516 | + | 77.3516i | −0.684527 | + | 0.684527i | −0.961017 | − | 0.276490i | \(-0.910829\pi\) |
0.276490 | + | 0.961017i | \(0.410829\pi\) | |||||||
\(114\) | 5.18562 | − | 2.99392i | 0.0454879 | − | 0.0262624i | ||||
\(115\) | −45.6891 | + | 85.6188i | −0.397297 | + | 0.744512i | ||||
\(116\) | −10.1050 | + | 17.5024i | −0.0871124 | + | 0.150883i | ||||
\(117\) | 16.1091 | − | 60.1199i | 0.137684 | − | 0.513845i | ||||
\(118\) | −17.8474 | + | 17.8474i | −0.151249 | + | 0.151249i | ||||
\(119\) | 47.2895 | + | 132.695i | 0.397391 | + | 1.11508i | ||||
\(120\) | 5.90347 | − | 6.31169i | 0.0491955 | − | 0.0525974i | ||||
\(121\) | −28.5029 | − | 49.3685i | −0.235561 | − | 0.408004i | ||||
\(122\) | −201.794 | + | 54.0705i | −1.65405 | + | 0.443201i | ||||
\(123\) | −2.73610 | − | 10.2113i | −0.0222447 | − | 0.0830185i | ||||
\(124\) | 11.2409 | − | 6.48996i | 0.0906527 | − | 0.0523384i | ||||
\(125\) | 79.1012 | − | 96.7884i | 0.632810 | − | 0.774307i | ||||
\(126\) | 107.578 | − | 38.3385i | 0.853795 | − | 0.304273i | ||||
\(127\) | 98.7094 | + | 98.7094i | 0.777240 | + | 0.777240i | 0.979361 | − | 0.202121i | \(-0.0647834\pi\) |
−0.202121 | + | 0.979361i | \(0.564783\pi\) | |||||||
\(128\) | 82.9125 | + | 22.2163i | 0.647754 | + | 0.173565i | ||||
\(129\) | −2.81968 | − | 1.62794i | −0.0218580 | − | 0.0126197i | ||||
\(130\) | −60.5224 | + | 18.4044i | −0.465557 | + | 0.141572i | ||||
\(131\) | −19.3786 | − | 33.5648i | −0.147928 | − | 0.256219i | 0.782533 | − | 0.622609i | \(-0.213927\pi\) |
−0.930462 | + | 0.366389i | \(0.880594\pi\) | |||||||
\(132\) | 1.30693 | + | 1.30693i | 0.00990098 | + | 0.00990098i | ||||
\(133\) | 64.5185 | + | 93.4728i | 0.485102 | + | 0.702803i | ||||
\(134\) | 105.766i | 0.789299i | ||||||||
\(135\) | −15.4461 | + | 9.61965i | −0.114416 | + | 0.0712567i | ||||
\(136\) | 85.8229 | − | 148.650i | 0.631050 | − | 1.09301i | ||||
\(137\) | 19.9809 | − | 5.35388i | 0.145846 | − | 0.0390794i | −0.185157 | − | 0.982709i | \(-0.559279\pi\) |
0.331004 | + | 0.943630i | \(0.392613\pi\) | |||||||
\(138\) | −6.91880 | − | 1.85389i | −0.0501363 | − | 0.0134340i | ||||
\(139\) | − | 103.080i | − | 0.741584i | −0.928716 | − | 0.370792i | \(-0.879086\pi\) | ||
0.928716 | − | 0.370792i | \(-0.120914\pi\) | |||||||
\(140\) | 18.7324 | + | 14.8850i | 0.133803 | + | 0.106321i | ||||
\(141\) | 11.1875 | 0.0793442 | ||||||||
\(142\) | 40.7978 | − | 152.259i | 0.287308 | − | 1.07225i | ||||
\(143\) | −23.9901 | − | 89.5321i | −0.167763 | − | 0.626099i | ||||
\(144\) | −99.2973 | − | 57.3293i | −0.689565 | − | 0.398120i | ||||
\(145\) | −143.981 | − | 33.4680i | −0.992970 | − | 0.230814i | ||||
\(146\) | −45.7470 | −0.313336 | ||||||||
\(147\) | −4.07516 | − | 9.05502i | −0.0277222 | − | 0.0615988i | ||||
\(148\) | 3.59138 | − | 3.59138i | 0.0242661 | − | 0.0242661i | ||||
\(149\) | 170.929 | − | 98.6857i | 1.14717 | − | 0.662320i | 0.198975 | − | 0.980004i | \(-0.436239\pi\) |
0.948196 | + | 0.317684i | \(0.102905\pi\) | |||||||
\(150\) | 8.28016 | + | 4.06928i | 0.0552010 | + | 0.0271286i | ||||
\(151\) | −110.041 | + | 190.597i | −0.728750 | + | 1.26223i | 0.228662 | + | 0.973506i | \(0.426565\pi\) |
−0.957412 | + | 0.288726i | \(0.906768\pi\) | |||||||
\(152\) | 35.8182 | − | 133.675i | 0.235646 | − | 0.879442i | ||||
\(153\) | −127.486 | + | 127.486i | −0.833239 | + | 0.833239i | ||||
\(154\) | 110.197 | − | 129.550i | 0.715566 | − | 0.841231i | ||||
\(155\) | 69.3353 | + | 64.8508i | 0.447324 | + | 0.418392i | ||||
\(156\) | 0.481214 | + | 0.833487i | 0.00308470 | + | 0.00534286i | ||||
\(157\) | 24.6291 | − | 6.59935i | 0.156873 | − | 0.0420341i | −0.179528 | − | 0.983753i | \(-0.557457\pi\) |
0.336401 | + | 0.941719i | \(0.390790\pi\) | |||||||
\(158\) | −12.5472 | − | 46.8268i | −0.0794127 | − | 0.296372i | ||||
\(159\) | 2.22212 | − | 1.28294i | 0.0139756 | − | 0.00806883i | ||||
\(160\) | −1.80539 | − | 54.0216i | −0.0112837 | − | 0.337635i | ||||
\(161\) | 24.4915 | − | 133.640i | 0.152121 | − | 0.830061i | ||||
\(162\) | 102.879 | + | 102.879i | 0.635055 | + | 0.635055i | ||||
\(163\) | −248.457 | − | 66.5739i | −1.52428 | − | 0.408429i | −0.603129 | − | 0.797643i | \(-0.706080\pi\) |
−0.921147 | + | 0.389215i | \(0.872746\pi\) | |||||||
\(164\) | −30.8838 | − | 17.8308i | −0.188316 | − | 0.108724i | ||||
\(165\) | −6.36446 | + | 11.9266i | −0.0385725 | + | 0.0722827i | ||||
\(166\) | 42.0485 | + | 72.8301i | 0.253304 | + | 0.438735i | ||||
\(167\) | −195.338 | − | 195.338i | −1.16969 | − | 1.16969i | −0.982282 | − | 0.187409i | \(-0.939991\pi\) |
−0.187409 | − | 0.982282i | \(-0.560009\pi\) | |||||||
\(168\) | −5.18690 | + | 10.9309i | −0.0308744 | + | 0.0650651i | ||||
\(169\) | 120.735i | 0.714406i | ||||||||
\(170\) | 178.482 | + | 41.4879i | 1.04990 | + | 0.244046i | ||||
\(171\) | −72.6809 | + | 125.887i | −0.425034 | + | 0.736181i | ||||
\(172\) | −10.6091 | + | 2.84269i | −0.0616806 | + | 0.0165273i | ||||
\(173\) | 63.9288 | + | 17.1297i | 0.369531 | + | 0.0990155i | 0.438805 | − | 0.898582i | \(-0.355402\pi\) |
−0.0692746 | + | 0.997598i | \(0.522068\pi\) | |||||||
\(174\) | − | 10.9103i | − | 0.0627029i | ||||||
\(175\) | −64.2993 | + | 162.759i | −0.367425 | + | 0.930053i | ||||
\(176\) | −170.753 | −0.970186 | ||||||||
\(177\) | −0.726935 | + | 2.71296i | −0.00410698 | + | 0.0153275i | ||||
\(178\) | −34.1002 | − | 127.264i | −0.191574 | − | 0.714965i | ||||
\(179\) | 32.0297 | + | 18.4924i | 0.178937 | + | 0.103309i | 0.586793 | − | 0.809737i | \(-0.300390\pi\) |
−0.407856 | + | 0.913046i | \(0.633724\pi\) | |||||||
\(180\) | −6.93318 | + | 29.8268i | −0.0385176 | + | 0.165704i | ||||
\(181\) | 278.708 | 1.53982 | 0.769912 | − | 0.638150i | \(-0.220300\pi\) | ||||
0.769912 | + | 0.638150i | \(0.220300\pi\) | |||||||
\(182\) | 72.8858 | − | 50.3085i | 0.400471 | − | 0.276421i | ||||
\(183\) | −16.4384 | + | 16.4384i | −0.0898272 | + | 0.0898272i | ||||
\(184\) | −143.369 | + | 82.7742i | −0.779180 | + | 0.449860i | ||||
\(185\) | 32.7739 | + | 17.4893i | 0.177156 | + | 0.0945365i | ||||
\(186\) | −3.50357 | + | 6.06836i | −0.0188364 | + | 0.0326256i | ||||
\(187\) | −69.4917 | + | 259.347i | −0.371613 | + | 1.38688i | ||||
\(188\) | 26.6860 | − | 26.6860i | 0.141947 | − | 0.141947i | ||||
\(189\) | 16.5061 | − | 19.4048i | 0.0873338 | − | 0.102671i | ||||
\(190\) | 147.657 | − | 4.93466i | 0.777142 | − | 0.0259719i | ||||
\(191\) | 98.5755 | + | 170.738i | 0.516102 | + | 0.893915i | 0.999825 | + | 0.0186940i | \(0.00595085\pi\) |
−0.483723 | + | 0.875221i | \(0.660716\pi\) | |||||||
\(192\) | 13.8742 | − | 3.71759i | 0.0722616 | − | 0.0193624i | ||||
\(193\) | −42.3618 | − | 158.096i | −0.219491 | − | 0.819152i | −0.984537 | − | 0.175176i | \(-0.943950\pi\) |
0.765046 | − | 0.643976i | \(-0.222716\pi\) | |||||||
\(194\) | −106.828 | + | 61.6774i | −0.550661 | + | 0.317925i | ||||
\(195\) | −4.80852 | + | 5.14103i | −0.0246591 | + | 0.0263643i | ||||
\(196\) | −31.3198 | − | 11.8786i | −0.159795 | − | 0.0606053i | ||||
\(197\) | 74.1532 | + | 74.1532i | 0.376412 | + | 0.376412i | 0.869806 | − | 0.493394i | \(-0.164244\pi\) |
−0.493394 | + | 0.869806i | \(0.664244\pi\) | |||||||
\(198\) | 210.257 | + | 56.3382i | 1.06190 | + | 0.284536i | ||||
\(199\) | −276.461 | − | 159.615i | −1.38925 | − | 0.802086i | −0.396022 | − | 0.918241i | \(-0.629610\pi\) |
−0.993231 | + | 0.116155i | \(0.962943\pi\) | |||||||
\(200\) | 201.823 | − | 68.8168i | 1.00911 | − | 0.344084i | ||||
\(201\) | 5.88473 | + | 10.1926i | 0.0292773 | + | 0.0507097i | ||||
\(202\) | 93.0076 | + | 93.0076i | 0.460434 | + | 0.460434i | ||||
\(203\) | 206.276 | − | 16.6506i | 1.01614 | − | 0.0820229i | ||||
\(204\) | − | 2.78785i | − | 0.0136659i | ||||||
\(205\) | 59.0558 | − | 254.060i | 0.288077 | − | 1.23932i | ||||
\(206\) | −147.325 | + | 255.174i | −0.715169 | + | 1.23871i | ||||
\(207\) | 167.962 | − | 45.0053i | 0.811411 | − | 0.217417i | ||||
\(208\) | −85.8840 | − | 23.0126i | −0.412904 | − | 0.110637i | ||||
\(209\) | 216.477i | 1.03577i | ||||||||
\(210\) | −12.7756 | − | 1.90271i | −0.0608360 | − | 0.00906051i | ||||
\(211\) | −107.264 | −0.508361 | −0.254181 | − | 0.967157i | \(-0.581806\pi\) | ||||
−0.254181 | + | 0.967157i | \(0.581806\pi\) | |||||||
\(212\) | 2.24026 | − | 8.36076i | 0.0105673 | − | 0.0394375i | ||||
\(213\) | −4.53990 | − | 16.9431i | −0.0213141 | − | 0.0795453i | ||||
\(214\) | −138.969 | − | 80.2340i | −0.649390 | − | 0.374925i | ||||
\(215\) | −42.4680 | − | 68.1903i | −0.197526 | − | 0.317164i | ||||
\(216\) | −31.0411 | −0.143709 | ||||||||
\(217\) | −120.079 | − | 56.9792i | −0.553358 | − | 0.262577i | ||||
\(218\) | −17.8187 | + | 17.8187i | −0.0817372 | + | 0.0817372i | ||||
\(219\) | −4.40863 | + | 2.54532i | −0.0201307 | + | 0.0116225i | ||||
\(220\) | 13.2677 | + | 43.6304i | 0.0603075 | + | 0.198320i | ||||
\(221\) | −69.9049 | + | 121.079i | −0.316312 | + | 0.547868i | ||||
\(222\) | −0.709646 | + | 2.64844i | −0.00319660 | + | 0.0119299i | ||||
\(223\) | 62.0972 | − | 62.0972i | 0.278463 | − | 0.278463i | −0.554032 | − | 0.832495i | \(-0.686912\pi\) |
0.832495 | + | 0.554032i | \(0.186912\pi\) | |||||||
\(224\) | 25.4030 | + | 71.2813i | 0.113406 | + | 0.318220i | ||||
\(225\) | −223.474 | + | 14.9535i | −0.993216 | + | 0.0664602i | ||||
\(226\) | −99.6063 | − | 172.523i | −0.440736 | − | 0.763377i | ||||
\(227\) | 78.9501 | − | 21.1546i | 0.347798 | − | 0.0931921i | −0.0806912 | − | 0.996739i | \(-0.525713\pi\) |
0.428489 | + | 0.903547i | \(0.359046\pi\) | |||||||
\(228\) | −0.581755 | − | 2.17114i | −0.00255156 | − | 0.00952254i | ||||
\(229\) | 153.486 | − | 88.6153i | 0.670245 | − | 0.386966i | −0.125924 | − | 0.992040i | \(-0.540190\pi\) |
0.796170 | + | 0.605074i | \(0.206856\pi\) | |||||||
\(230\) | −129.072 | − | 120.724i | −0.561185 | − | 0.524888i | ||||
\(231\) | 3.41165 | − | 18.6159i | 0.0147691 | − | 0.0805885i | ||||
\(232\) | −178.303 | − | 178.303i | −0.768549 | − | 0.768549i | ||||
\(233\) | −133.715 | − | 35.8288i | −0.573884 | − | 0.153772i | −0.0398069 | − | 0.999207i | \(-0.512674\pi\) |
−0.534078 | + | 0.845436i | \(0.679341\pi\) | |||||||
\(234\) | 98.1608 | + | 56.6731i | 0.419490 | + | 0.242193i | ||||
\(235\) | 243.528 | + | 129.955i | 1.03629 | + | 0.553000i | ||||
\(236\) | 4.73733 | + | 8.20529i | 0.0200734 | + | 0.0347682i | ||||
\(237\) | −3.81457 | − | 3.81457i | −0.0160952 | − | 0.0160952i | ||||
\(238\) | −255.706 | + | 20.6406i | −1.07439 | + | 0.0867252i | ||||
\(239\) | − | 322.994i | − | 1.35144i | −0.737160 | − | 0.675719i | \(-0.763833\pi\) | ||
0.737160 | − | 0.675719i | \(-0.236167\pi\) | |||||||
\(240\) | 6.85535 | + | 11.0075i | 0.0285639 | + | 0.0458647i | ||||
\(241\) | 111.726 | − | 193.515i | 0.463592 | − | 0.802966i | −0.535544 | − | 0.844507i | \(-0.679894\pi\) |
0.999137 | + | 0.0415414i | \(0.0132269\pi\) | |||||||
\(242\) | 100.276 | − | 26.8688i | 0.414363 | − | 0.111028i | ||||
\(243\) | 47.2766 | + | 12.6677i | 0.194554 | + | 0.0521305i | ||||
\(244\) | 78.4221i | 0.321402i | ||||||||
\(245\) | 16.4763 | − | 244.445i | 0.0672502 | − | 0.997736i | ||||
\(246\) | 19.2517 | 0.0782590 | ||||||||
\(247\) | −29.1748 | + | 108.882i | −0.118117 | + | 0.440817i | ||||
\(248\) | 41.9155 | + | 156.431i | 0.169014 | + | 0.630769i | ||||
\(249\) | 8.10440 | + | 4.67908i | 0.0325478 | + | 0.0187915i | ||||
\(250\) | 132.972 | + | 184.762i | 0.531888 | + | 0.739049i | ||||
\(251\) | −67.1560 | −0.267554 | −0.133777 | − | 0.991011i | \(-0.542711\pi\) | ||||
−0.133777 | + | 0.991011i | \(0.542711\pi\) | |||||||
\(252\) | −3.44932 | − | 42.7318i | −0.0136878 | − | 0.169571i | ||||
\(253\) | 183.111 | − | 183.111i | 0.723757 | − | 0.723757i | ||||
\(254\) | −220.159 | + | 127.109i | −0.866769 | + | 0.500429i | ||||
\(255\) | 19.5087 | − | 5.93243i | 0.0765045 | − | 0.0232644i | ||||
\(256\) | 63.6004 | − | 110.159i | 0.248439 | − | 0.430309i | ||||
\(257\) | 26.5574 | − | 99.1137i | 0.103336 | − | 0.385657i | −0.894815 | − | 0.446438i | \(-0.852692\pi\) |
0.998151 | + | 0.0607811i | \(0.0193591\pi\) | |||||||
\(258\) | 4.19263 | − | 4.19263i | 0.0162505 | − | 0.0162505i | ||||
\(259\) | −51.1557 | − | 9.37506i | −0.197512 | − | 0.0361972i | ||||
\(260\) | 0.793150 | + | 23.7330i | 0.00305058 | + | 0.0912808i | ||||
\(261\) | 132.430 | + | 229.376i | 0.507396 | + | 0.878835i | ||||
\(262\) | 68.1757 | − | 18.2676i | 0.260213 | − | 0.0697237i | ||||
\(263\) | −15.7218 | − | 58.6747i | −0.0597788 | − | 0.223098i | 0.929574 | − | 0.368636i | \(-0.120175\pi\) |
−0.989353 | + | 0.145539i | \(0.953509\pi\) | |||||||
\(264\) | −19.9712 | + | 11.5304i | −0.0756485 | + | 0.0436757i | ||||
\(265\) | 63.2736 | − | 2.11458i | 0.238768 | − | 0.00797956i | ||||
\(266\) | −194.833 | + | 69.4340i | −0.732454 | + | 0.261030i | ||||
\(267\) | −10.3671 | − | 10.3671i | −0.0388280 | − | 0.0388280i | ||||
\(268\) | 38.3499 | + | 10.2758i | 0.143097 | + | 0.0383426i | ||||
\(269\) | 287.463 | + | 165.967i | 1.06864 | + | 0.616978i | 0.927809 | − | 0.373056i | \(-0.121690\pi\) |
0.140828 | + | 0.990034i | \(0.455023\pi\) | |||||||
\(270\) | −9.64109 | − | 31.7045i | −0.0357078 | − | 0.117424i | ||||
\(271\) | −110.580 | − | 191.530i | −0.408044 | − | 0.706753i | 0.586627 | − | 0.809858i | \(-0.300456\pi\) |
−0.994671 | + | 0.103105i | \(0.967122\pi\) | |||||||
\(272\) | 182.119 | + | 182.119i | 0.669555 | + | 0.669555i | ||||
\(273\) | 4.22486 | − | 8.90352i | 0.0154757 | − | 0.0326136i | ||||
\(274\) | 37.6708i | 0.137485i | ||||||||
\(275\) | −277.081 | + | 185.687i | −1.00757 | + | 0.675226i | ||||
\(276\) | −1.34441 | + | 2.32858i | −0.00487105 | + | 0.00843690i | ||||
\(277\) | −327.681 | + | 87.8018i | −1.18296 | + | 0.316974i | −0.796101 | − | 0.605163i | \(-0.793108\pi\) |
−0.386862 | + | 0.922137i | \(0.626441\pi\) | |||||||
\(278\) | 181.322 | + | 48.5852i | 0.652239 | + | 0.174767i | ||||
\(279\) | − | 170.107i | − | 0.609701i | ||||||
\(280\) | −239.882 | + | 177.691i | −0.856721 | + | 0.634612i | ||||
\(281\) | 375.619 | 1.33672 | 0.668361 | − | 0.743837i | \(-0.266996\pi\) | ||||
0.668361 | + | 0.743837i | \(0.266996\pi\) | |||||||
\(282\) | −5.27307 | + | 19.6794i | −0.0186988 | + | 0.0697850i | ||||
\(283\) | 8.92501 | + | 33.3086i | 0.0315371 | + | 0.117698i | 0.979900 | − | 0.199489i | \(-0.0639283\pi\) |
−0.948363 | + | 0.317187i | \(0.897262\pi\) | |||||||
\(284\) | −51.2442 | − | 29.5859i | −0.180437 | − | 0.104176i | ||||
\(285\) | 13.9551 | − | 8.69106i | 0.0489653 | − | 0.0304949i | ||||
\(286\) | 168.798 | 0.590204 | ||||||||
\(287\) | 29.3808 | + | 363.983i | 0.102372 | + | 1.26823i | ||||
\(288\) | −68.4828 | + | 68.4828i | −0.237788 | + | 0.237788i | ||||
\(289\) | 100.446 | − | 57.9926i | 0.347564 | − | 0.200666i | ||||
\(290\) | 126.735 | − | 237.494i | 0.437016 | − | 0.818944i | ||||
\(291\) | −6.86334 | + | 11.8877i | −0.0235854 | + | 0.0408511i | ||||
\(292\) | −4.44461 | + | 16.5875i | −0.0152213 | + | 0.0568065i | ||||
\(293\) | −369.082 | + | 369.082i | −1.25967 | + | 1.25967i | −0.308412 | + | 0.951253i | \(0.599798\pi\) |
−0.951253 | + | 0.308412i | \(0.900202\pi\) | |||||||
\(294\) | 17.8489 | − | 2.90044i | 0.0607107 | − | 0.00986544i | ||||
\(295\) | −47.3377 | + | 50.6111i | −0.160467 | + | 0.171563i | ||||
\(296\) | 31.6850 | + | 54.8800i | 0.107044 | + | 0.185405i | ||||
\(297\) | 46.9013 | − | 12.5672i | 0.157917 | − | 0.0423137i | ||||
\(298\) | 93.0279 | + | 347.185i | 0.312174 | + | 1.16505i | ||||
\(299\) | 116.778 | − | 67.4216i | 0.390561 | − | 0.225490i | ||||
\(300\) | 2.27996 | − | 2.60696i | 0.00759986 | − | 0.00868987i | ||||
\(301\) | 85.6667 | + | 72.8696i | 0.284607 | + | 0.242092i | ||||
\(302\) | −283.402 | − | 283.402i | −0.938418 | − | 0.938418i | ||||
\(303\) | 14.1380 | + | 3.78826i | 0.0466600 | + | 0.0125025i | ||||
\(304\) | 179.835 | + | 103.828i | 0.591563 | + | 0.341539i | ||||
\(305\) | −548.777 | + | 166.879i | −1.79927 | + | 0.547143i | ||||
\(306\) | −164.164 | − | 284.341i | −0.536485 | − | 0.929219i | ||||
\(307\) | −181.108 | − | 181.108i | −0.589927 | − | 0.589927i | 0.347685 | − | 0.937612i | \(-0.386968\pi\) |
−0.937612 | + | 0.347685i | \(0.886968\pi\) | |||||||
\(308\) | −36.2673 | − | 52.5431i | −0.117751 | − | 0.170595i | ||||
\(309\) | 32.7881i | 0.106110i | ||||||||
\(310\) | −146.756 | + | 91.3974i | −0.473405 | + | 0.294830i | ||||
\(311\) | 41.2886 | − | 71.5140i | 0.132761 | − | 0.229949i | −0.791979 | − | 0.610548i | \(-0.790949\pi\) |
0.924740 | + | 0.380600i | \(0.124282\pi\) | |||||||
\(312\) | −11.5989 | + | 3.10793i | −0.0371761 | + | 0.00996130i | ||||
\(313\) | −347.729 | − | 93.1737i | −1.11096 | − | 0.297680i | −0.343737 | − | 0.939066i | \(-0.611693\pi\) |
−0.767218 | + | 0.641386i | \(0.778360\pi\) | |||||||
\(314\) | 46.4342i | 0.147880i | ||||||||
\(315\) | 291.686 | − | 115.069i | 0.925987 | − | 0.365298i | ||||
\(316\) | −18.1981 | −0.0575888 | ||||||||
\(317\) | 67.8492 | − | 253.217i | 0.214035 | − | 0.798791i | −0.772469 | − | 0.635053i | \(-0.780978\pi\) |
0.986504 | − | 0.163738i | \(-0.0523551\pi\) | |||||||
\(318\) | 1.20939 | + | 4.51351i | 0.00380312 | + | 0.0141934i | ||||
\(319\) | 341.593 | + | 197.219i | 1.07082 | + | 0.618241i | ||||
\(320\) | 345.195 | + | 80.2400i | 1.07874 | + | 0.250750i | ||||
\(321\) | −17.8566 | −0.0556280 | ||||||||
\(322\) | 223.535 | + | 106.071i | 0.694207 | + | 0.329412i | ||||
\(323\) | 230.886 | − | 230.886i | 0.714818 | − | 0.714818i | ||||
\(324\) | 47.2983 | − | 27.3077i | 0.145983 | − | 0.0842830i | ||||
\(325\) | −164.390 | + | 56.0531i | −0.505814 | + | 0.172471i | ||||
\(326\) | 234.213 | − | 405.668i | 0.718444 | − | 1.24438i | ||||
\(327\) | −0.725767 | + | 2.70860i | −0.00221947 | + | 0.00828318i | ||||
\(328\) | 314.624 | − | 314.624i | 0.959220 | − | 0.959220i | ||||
\(329\) | −380.116 | − | 69.6620i | −1.15537 | − | 0.211739i | ||||
\(330\) | −17.9797 | − | 16.8168i | −0.0544839 | − | 0.0509600i | ||||
\(331\) | −123.873 | − | 214.554i | −0.374237 | − | 0.648198i | 0.615975 | − | 0.787765i | \(-0.288762\pi\) |
−0.990213 | + | 0.139568i | \(0.955429\pi\) | |||||||
\(332\) | 30.4929 | − | 8.17054i | 0.0918460 | − | 0.0246100i | ||||
\(333\) | −17.2275 | − | 64.2939i | −0.0517342 | − | 0.193075i | ||||
\(334\) | 435.678 | − | 251.539i | 1.30443 | − | 0.753111i | ||||
\(335\) | 9.69937 | + | 290.229i | 0.0289534 | + | 0.866356i | ||||
\(336\) | −13.8286 | − | 11.7629i | −0.0411567 | − | 0.0350086i | ||||
\(337\) | −75.7335 | − | 75.7335i | −0.224729 | − | 0.224729i | 0.585758 | − | 0.810486i | \(-0.300797\pi\) |
−0.810486 | + | 0.585758i | \(0.800797\pi\) | |||||||
\(338\) | −212.377 | − | 56.9064i | −0.628336 | − | 0.168362i | ||||
\(339\) | −19.1981 | − | 11.0840i | −0.0566315 | − | 0.0326962i | ||||
\(340\) | 32.3838 | − | 60.6855i | 0.0952466 | − | 0.178487i | ||||
\(341\) | −126.664 | − | 219.388i | −0.371448 | − | 0.643366i | ||||
\(342\) | −187.184 | − | 187.184i | −0.547321 | − | 0.547321i | ||||
\(343\) | 82.0772 | + | 333.035i | 0.239292 | + | 0.970948i | ||||
\(344\) | − | 137.037i | − | 0.398365i | ||||||
\(345\) | −19.1557 | − | 4.45270i | −0.0555237 | − | 0.0129064i | ||||
\(346\) | −60.2637 | + | 104.380i | −0.174173 | + | 0.301676i | ||||
\(347\) | −17.2630 | + | 4.62561i | −0.0497493 | + | 0.0133303i | −0.283608 | − | 0.958940i | \(-0.591531\pi\) |
0.233859 | + | 0.972271i | \(0.424865\pi\) | |||||||
\(348\) | −3.95599 | − | 1.06000i | −0.0113678 | − | 0.00304599i | ||||
\(349\) | 104.305i | 0.298867i | 0.988772 | + | 0.149434i | \(0.0477450\pi\) | ||||
−0.988772 | + | 0.149434i | \(0.952255\pi\) | |||||||
\(350\) | −255.994 | − | 189.819i | −0.731412 | − | 0.542341i | ||||
\(351\) | 25.2838 | 0.0720335 | ||||||||
\(352\) | −37.3296 | + | 139.316i | −0.106050 | + | 0.395784i | ||||
\(353\) | 146.136 | + | 545.387i | 0.413983 | + | 1.54501i | 0.786863 | + | 0.617127i | \(0.211704\pi\) |
−0.372880 | + | 0.927880i | \(0.621630\pi\) | |||||||
\(354\) | −4.42959 | − | 2.55742i | −0.0125130 | − | 0.00722436i | ||||
\(355\) | 97.9887 | − | 421.551i | 0.276025 | − | 1.18747i | ||||
\(356\) | −49.4578 | −0.138926 | ||||||||
\(357\) | −23.4939 | + | 16.2164i | −0.0658091 | + | 0.0454240i | ||||
\(358\) | −47.6256 | + | 47.6256i | −0.133032 | + | 0.133032i | ||||
\(359\) | 117.104 | − | 67.6102i | 0.326196 | − | 0.188329i | −0.327955 | − | 0.944693i | \(-0.606359\pi\) |
0.654151 | + | 0.756364i | \(0.273026\pi\) | |||||||
\(360\) | −337.076 | − | 179.875i | −0.936322 | − | 0.499654i | ||||
\(361\) | −48.8692 | + | 84.6440i | −0.135372 | + | 0.234471i | ||||
\(362\) | −131.365 | + | 490.260i | −0.362886 | + | 1.35431i | ||||
\(363\) | 8.16860 | − | 8.16860i | 0.0225030 | − | 0.0225030i | ||||
\(364\) | −11.1602 | − | 31.3156i | −0.0306598 | − | 0.0860318i | ||||
\(365\) | −125.533 | + | 4.19527i | −0.343926 | + | 0.0114939i | ||||
\(366\) | −21.1679 | − | 36.6638i | −0.0578357 | − | 0.100174i | ||||
\(367\) | 518.572 | − | 138.951i | 1.41300 | − | 0.378613i | 0.530006 | − | 0.847994i | \(-0.322190\pi\) |
0.882996 | + | 0.469381i | \(0.155523\pi\) | |||||||
\(368\) | −64.2922 | − | 239.942i | −0.174707 | − | 0.652015i | ||||
\(369\) | −404.744 | + | 233.679i | −1.09687 | + | 0.633276i | ||||
\(370\) | −46.2118 | + | 49.4074i | −0.124897 | + | 0.133533i | ||||
\(371\) | −83.4891 | + | 29.7536i | −0.225038 | + | 0.0801985i | ||||
\(372\) | 1.85994 | + | 1.85994i | 0.00499985 | + | 0.00499985i | ||||
\(373\) | 584.605 | + | 156.644i | 1.56730 | + | 0.419958i | 0.934967 | − | 0.354735i | \(-0.115429\pi\) |
0.632338 | + | 0.774693i | \(0.282096\pi\) | |||||||
\(374\) | −423.448 | − | 244.478i | −1.13221 | − | 0.653684i | ||||
\(375\) | 23.0945 | + | 10.4070i | 0.0615853 | + | 0.0277521i | ||||
\(376\) | 235.437 | + | 407.789i | 0.626162 | + | 1.08455i | ||||
\(377\) | 145.233 | + | 145.233i | 0.385232 | + | 0.385232i | ||||
\(378\) | 26.3540 | + | 38.1811i | 0.0697197 | + | 0.101008i | ||||
\(379\) | 636.348i | 1.67902i | 0.543344 | + | 0.839510i | \(0.317158\pi\) | ||||
−0.543344 | + | 0.839510i | \(0.682842\pi\) | |||||||
\(380\) | 12.5565 | − | 54.0187i | 0.0330435 | − | 0.142154i | ||||
\(381\) | −14.1445 | + | 24.4989i | −0.0371246 | + | 0.0643017i | ||||
\(382\) | −346.797 | + | 92.9241i | −0.907846 | + | 0.243257i | ||||
\(383\) | −220.305 | − | 59.0304i | −0.575208 | − | 0.154126i | −0.0405238 | − | 0.999179i | \(-0.512903\pi\) |
−0.534684 | + | 0.845052i | \(0.679569\pi\) | |||||||
\(384\) | 17.3948i | 0.0452989i | ||||||||
\(385\) | 290.508 | − | 365.599i | 0.754566 | − | 0.949607i | ||||
\(386\) | 298.065 | 0.772189 | ||||||||
\(387\) | −37.2545 | + | 139.036i | −0.0962648 | + | 0.359265i | ||||
\(388\) | 11.9847 | + | 44.7274i | 0.0308883 | + | 0.115277i | ||||
\(389\) | 158.534 | + | 91.5296i | 0.407542 | + | 0.235295i | 0.689733 | − | 0.724064i | \(-0.257728\pi\) |
−0.282191 | + | 0.959358i | \(0.591061\pi\) | |||||||
\(390\) | −6.77688 | − | 10.8815i | −0.0173766 | − | 0.0279014i | ||||
\(391\) | −390.599 | −0.998974 | ||||||||
\(392\) | 244.298 | − | 339.100i | 0.623210 | − | 0.865051i | ||||
\(393\) | 5.55368 | − | 5.55368i | 0.0141315 | − | 0.0141315i | ||||
\(394\) | −165.390 | + | 95.4877i | −0.419771 | + | 0.242355i | ||||
\(395\) | −38.7247 | − | 127.345i | −0.0980372 | − | 0.322393i | ||||
\(396\) | 40.8555 | − | 70.7638i | 0.103170 | − | 0.178696i | ||||
\(397\) | −180.503 | + | 673.646i | −0.454667 | + | 1.69684i | 0.234397 | + | 0.972141i | \(0.424688\pi\) |
−0.689064 | + | 0.724700i | \(0.741978\pi\) | |||||||
\(398\) | 411.076 | − | 411.076i | 1.03285 | − | 1.03285i | ||||
\(399\) | −14.9127 | + | 17.5316i | −0.0373753 | + | 0.0439390i | ||||
\(400\) | 21.3618 | + | 319.242i | 0.0534046 | + | 0.798106i | ||||
\(401\) | 28.8874 | + | 50.0344i | 0.0720383 | + | 0.124774i | 0.899795 | − | 0.436314i | \(-0.143716\pi\) |
−0.827756 | + | 0.561088i | \(0.810383\pi\) | |||||||
\(402\) | −20.7030 | + | 5.54735i | −0.0515000 | + | 0.0137994i | ||||
\(403\) | −34.1412 | − | 127.417i | −0.0847177 | − | 0.316171i | ||||
\(404\) | 42.7600 | − | 24.6875i | 0.105842 | − | 0.0611077i | ||||
\(405\) | 291.741 | + | 272.872i | 0.720348 | + | 0.673758i | ||||
\(406\) | −67.9358 | + | 370.697i | −0.167330 | + | 0.913046i | ||||
\(407\) | −70.0925 | − | 70.0925i | −0.172218 | − | 0.172218i | ||||
\(408\) | 33.5985 | + | 9.00269i | 0.0823492 | + | 0.0220654i | ||||
\(409\) | −435.306 | − | 251.324i | −1.06432 | − | 0.614485i | −0.137695 | − | 0.990475i | \(-0.543969\pi\) |
−0.926624 | + | 0.375990i | \(0.877303\pi\) | |||||||
\(410\) | 419.068 | + | 223.629i | 1.02212 | + | 0.545436i | ||||
\(411\) | 2.09597 | + | 3.63033i | 0.00509968 | + | 0.00883291i | ||||
\(412\) | 78.2105 | + | 78.2105i | 0.189831 | + | 0.189831i | ||||
\(413\) | 41.5918 | − | 87.6511i | 0.100707 | − | 0.212230i | ||||
\(414\) | 316.665i | 0.764892i | ||||||||
\(415\) | 122.063 | + | 195.995i | 0.294127 | + | 0.472276i | ||||
\(416\) | −37.5516 | + | 65.0413i | −0.0902682 | + | 0.156349i | ||||
\(417\) | 20.1772 | − | 5.40647i | 0.0483867 | − | 0.0129652i | ||||
\(418\) | −380.792 | − | 102.033i | −0.910985 | − | 0.244098i | ||||
\(419\) | − | 619.157i | − | 1.47770i | −0.673869 | − | 0.738851i | \(-0.735369\pi\) | ||
0.673869 | − | 0.738851i | \(-0.264631\pi\) | |||||||
\(420\) | −1.93113 | + | 4.44745i | −0.00459793 | + | 0.0105892i | ||||
\(421\) | −25.3397 | −0.0601894 | −0.0300947 | − | 0.999547i | \(-0.509581\pi\) | ||||
−0.0300947 | + | 0.999547i | \(0.509581\pi\) | |||||||
\(422\) | 50.5573 | − | 188.683i | 0.119804 | − | 0.447115i | ||||
\(423\) | −128.010 | − | 477.740i | −0.302624 | − | 1.12941i | ||||
\(424\) | 93.5274 | + | 53.9981i | 0.220583 | + | 0.127354i | ||||
\(425\) | 493.573 | + | 97.4776i | 1.16135 | + | 0.229359i | ||||
\(426\) | 31.9435 | 0.0749849 | ||||||||
\(427\) | 660.881 | − | 456.165i | 1.54773 | − | 1.06830i | ||||
\(428\) | −42.5939 | + | 42.5939i | −0.0995185 | + | 0.0995185i | ||||
\(429\) | 16.2671 | − | 9.39179i | 0.0379185 | − | 0.0218923i | ||||
\(430\) | 139.966 | − | 42.5627i | 0.325503 | − | 0.0989829i | ||||
\(431\) | 94.8839 | − | 164.344i | 0.220148 | − | 0.381308i | −0.734705 | − | 0.678387i | \(-0.762679\pi\) |
0.954853 | + | 0.297079i | \(0.0960126\pi\) | |||||||
\(432\) | 12.0551 | − | 44.9902i | 0.0279053 | − | 0.104144i | ||||
\(433\) | −28.8902 | + | 28.8902i | −0.0667210 | + | 0.0667210i | −0.739680 | − | 0.672959i | \(-0.765023\pi\) |
0.672959 | + | 0.739680i | \(0.265023\pi\) | |||||||
\(434\) | 156.826 | − | 184.367i | 0.361350 | − | 0.424809i | ||||
\(435\) | −1.00054 | − | 29.9386i | −0.00230009 | − | 0.0688244i | ||||
\(436\) | 4.72972 | + | 8.19211i | 0.0108480 | + | 0.0187892i | ||||
\(437\) | −304.193 | + | 81.5082i | −0.696093 | + | 0.186518i | ||||
\(438\) | −2.39940 | − | 8.95468i | −0.00547808 | − | 0.0204445i | ||||
\(439\) | −111.104 | + | 64.1457i | −0.253084 | + | 0.146118i | −0.621175 | − | 0.783672i | \(-0.713345\pi\) |
0.368092 | + | 0.929789i | \(0.380011\pi\) | |||||||
\(440\) | −568.667 | + | 19.0047i | −1.29243 | + | 0.0431925i | ||||
\(441\) | −340.047 | + | 277.630i | −0.771081 | + | 0.629547i | ||||
\(442\) | −180.034 | − | 180.034i | −0.407318 | − | 0.407318i | ||||
\(443\) | −355.240 | − | 95.1862i | −0.801895 | − | 0.214867i | −0.165479 | − | 0.986213i | \(-0.552917\pi\) |
−0.636416 | + | 0.771346i | \(0.719584\pi\) | |||||||
\(444\) | 0.891354 | + | 0.514624i | 0.00200755 | + | 0.00115906i | ||||
\(445\) | −105.244 | − | 346.093i | −0.236504 | − | 0.777737i | ||||
\(446\) | 79.9631 | + | 138.500i | 0.179290 | + | 0.310539i | ||||
\(447\) | 28.2821 | + | 28.2821i | 0.0632710 | + | 0.0632710i | ||||
\(448\) | −494.549 | + | 39.9201i | −1.10390 | + | 0.0891074i | ||||
\(449\) | 103.066i | 0.229545i | 0.993392 | + | 0.114773i | \(0.0366139\pi\) | ||||
−0.993392 | + | 0.114773i | \(0.963386\pi\) | |||||||
\(450\) | 79.0269 | − | 400.148i | 0.175615 | − | 0.889218i | ||||
\(451\) | −348.001 | + | 602.755i | −0.771621 | + | 1.33649i | ||||
\(452\) | −72.2329 | + | 19.3547i | −0.159807 | + | 0.0428202i | ||||
\(453\) | −43.0797 | − | 11.5432i | −0.0950986 | − | 0.0254816i | ||||
\(454\) | 148.848i | 0.327858i | ||||||||
\(455\) | 195.390 | − | 144.734i | 0.429428 | − | 0.318097i | ||||
\(456\) | 28.0447 | 0.0615014 | ||||||||
\(457\) | 218.580 | − | 815.752i | 0.478294 | − | 1.78502i | −0.130234 | − | 0.991483i | \(-0.541573\pi\) |
0.608527 | − | 0.793533i | \(-0.291761\pi\) | |||||||
\(458\) | 83.5348 | + | 311.756i | 0.182390 | + | 0.680691i | ||||
\(459\) | −63.4269 | − | 36.6196i | −0.138185 | − | 0.0797812i | ||||
\(460\) | −56.3138 | + | 35.0715i | −0.122421 | + | 0.0762424i | ||||
\(461\) | −170.635 | −0.370142 | −0.185071 | − | 0.982725i | \(-0.559251\pi\) | ||||
−0.185071 | + | 0.982725i | \(0.559251\pi\) | |||||||
\(462\) | 31.1382 | + | 14.7756i | 0.0673987 | + | 0.0319818i | ||||
\(463\) | −29.6362 | + | 29.6362i | −0.0640091 | + | 0.0640091i | −0.738387 | − | 0.674378i | \(-0.764412\pi\) |
0.674378 | + | 0.738387i | \(0.264412\pi\) | |||||||
\(464\) | 327.674 | − | 189.183i | 0.706194 | − | 0.407721i | ||||
\(465\) | −9.05753 | + | 16.9733i | −0.0194786 | + | 0.0365017i | ||||
\(466\) | 126.049 | − | 218.323i | 0.270491 | − | 0.468505i | ||||
\(467\) | 70.7178 | − | 263.922i | 0.151430 | − | 0.565144i | −0.847955 | − | 0.530069i | \(-0.822166\pi\) |
0.999385 | − | 0.0350755i | \(-0.0111672\pi\) | |||||||
\(468\) | 30.0861 | − | 30.0861i | 0.0642866 | − | 0.0642866i | ||||
\(469\) | −136.477 | − | 382.956i | −0.290995 | − | 0.816537i | ||||
\(470\) | −343.380 | + | 367.125i | −0.730596 | + | 0.781117i | ||||
\(471\) | 2.58356 | + | 4.47485i | 0.00548526 | + | 0.00950075i | ||||
\(472\) | −114.186 | + | 30.5961i | −0.241920 | + | 0.0648223i | ||||
\(473\) | 55.4804 | + | 207.056i | 0.117295 | + | 0.437750i | ||||
\(474\) | 8.50794 | − | 4.91206i | 0.0179492 | − | 0.0103630i | ||||
\(475\) | 404.728 | − | 27.0821i | 0.852060 | − | 0.0570148i | ||||
\(476\) | −17.3593 | + | 94.7221i | −0.0364690 | + | 0.198996i | ||||
\(477\) | −80.2114 | − | 80.2114i | −0.168158 | − | 0.168158i | ||||
\(478\) | 568.160 | + | 152.238i | 1.18862 | + | 0.318490i | ||||
\(479\) | −201.682 | − | 116.441i | −0.421047 | − | 0.243092i | 0.274478 | − | 0.961593i | \(-0.411495\pi\) |
−0.695525 | + | 0.718502i | \(0.744828\pi\) | |||||||
\(480\) | 10.4797 | − | 3.18679i | 0.0218327 | − | 0.00663914i | ||||
\(481\) | −25.8082 | − | 44.7011i | −0.0536553 | − | 0.0929337i | ||||
\(482\) | 287.741 | + | 287.741i | 0.596972 | + | 0.596972i | ||||
\(483\) | 27.4437 | − | 2.21526i | 0.0568192 | − | 0.00458645i | ||||
\(484\) | − | 38.9697i | − | 0.0805158i | ||||||
\(485\) | −287.488 | + | 179.044i | −0.592758 | + | 0.369162i | ||||
\(486\) | −44.5661 | + | 77.1908i | −0.0916999 | + | 0.158829i | ||||
\(487\) | 63.7831 | − | 17.0906i | 0.130971 | − | 0.0350937i | −0.192738 | − | 0.981250i | \(-0.561737\pi\) |
0.323709 | + | 0.946157i | \(0.395070\pi\) | |||||||
\(488\) | −945.123 | − | 253.245i | −1.93673 | − | 0.518945i | ||||
\(489\) | − | 52.1255i | − | 0.106596i | ||||||
\(490\) | 422.224 | + | 144.198i | 0.861682 | + | 0.294282i | ||||
\(491\) | 547.588 | 1.11525 | 0.557625 | − | 0.830093i | \(-0.311713\pi\) | ||||
0.557625 | + | 0.830093i | \(0.311713\pi\) | |||||||
\(492\) | 1.87042 | − | 6.98051i | 0.00380167 | − | 0.0141880i | ||||
\(493\) | −153.984 | − | 574.678i | −0.312342 | − | 1.16567i | ||||
\(494\) | −177.777 | − | 102.640i | −0.359872 | − | 0.207772i | ||||
\(495\) | 582.125 | + | 135.314i | 1.17601 | + | 0.273361i | ||||
\(496\) | −243.005 | −0.489930 | ||||||||
\(497\) | 48.7503 | + | 603.942i | 0.0980891 | + | 1.21517i | ||||
\(498\) | −12.0506 | + | 12.0506i | −0.0241980 | + | 0.0241980i | ||||
\(499\) | −228.764 | + | 132.077i | −0.458446 | + | 0.264684i | −0.711390 | − | 0.702797i | \(-0.751934\pi\) |
0.252945 | + | 0.967481i | \(0.418601\pi\) | |||||||
\(500\) | 79.9123 | − | 30.2638i | 0.159825 | − | 0.0605275i | ||||
\(501\) | 27.9908 | − | 48.4815i | 0.0558699 | − | 0.0967695i | ||||
\(502\) | 31.6529 | − | 118.130i | 0.0630536 | − | 0.235319i | ||||
\(503\) | 285.856 | − | 285.856i | 0.568302 | − | 0.568302i | −0.363351 | − | 0.931652i | \(-0.618367\pi\) |
0.931652 | + | 0.363351i | \(0.118367\pi\) | |||||||
\(504\) | 526.132 | + | 96.4216i | 1.04391 | + | 0.191313i | ||||
\(505\) | 263.748 | + | 246.690i | 0.522274 | + | 0.488494i | ||||
\(506\) | 235.793 | + | 408.406i | 0.465995 | + | 0.807126i | ||||
\(507\) | −23.6330 | + | 6.33244i | −0.0466134 | + | 0.0124900i | ||||
\(508\) | 24.6989 | + | 92.1774i | 0.0486198 | + | 0.181452i | ||||
\(509\) | −184.088 | + | 106.283i | −0.361665 | + | 0.208808i | −0.669811 | − | 0.742532i | \(-0.733625\pi\) |
0.308146 | + | 0.951339i | \(0.400292\pi\) | |||||||
\(510\) | 1.24030 | + | 37.1127i | 0.00243196 | + | 0.0727701i | ||||
\(511\) | 165.640 | − | 59.0304i | 0.324149 | − | 0.115519i | ||||
\(512\) | 406.582 | + | 406.582i | 0.794106 | + | 0.794106i | ||||
\(513\) | −57.0376 | − | 15.2832i | −0.111184 | − | 0.0297918i | ||||
\(514\) | 161.828 | + | 93.4314i | 0.314840 | + | 0.181773i | ||||
\(515\) | −380.868 | + | 713.725i | −0.739550 | + | 1.38587i | ||||
\(516\) | −1.11287 | − | 1.92755i | −0.00215673 | − | 0.00373557i | ||||
\(517\) | −520.827 | − | 520.827i | −1.00740 | − | 1.00740i | ||||
\(518\) | 40.6026 | − | 85.5664i | 0.0783834 | − | 0.165186i | ||||
\(519\) | 13.4121i | 0.0258421i | ||||||||
\(520\) | −288.586 | − | 67.0811i | −0.554972 | − | 0.129002i | ||||
\(521\) | 292.610 | − | 506.815i | 0.561631 | − | 0.972774i | −0.435723 | − | 0.900081i | \(-0.643507\pi\) |
0.997354 | − | 0.0726933i | \(-0.0231594\pi\) | |||||||
\(522\) | −465.901 | + | 124.838i | −0.892532 | + | 0.239153i | ||||
\(523\) | 441.545 | + | 118.312i | 0.844255 | + | 0.226217i | 0.654923 | − | 0.755696i | \(-0.272701\pi\) |
0.189332 | + | 0.981913i | \(0.439368\pi\) | |||||||
\(524\) | − | 26.4948i | − | 0.0505625i | ||||||
\(525\) | −35.2315 | − | 4.04956i | −0.0671076 | − | 0.00771345i | ||||
\(526\) | 110.622 | 0.210307 | ||||||||
\(527\) | −98.8964 | + | 369.087i | −0.187659 | + | 0.700354i | ||||
\(528\) | −8.95585 | − | 33.4237i | −0.0169618 | − | 0.0633025i | ||||
\(529\) | −131.875 | − | 76.1383i | −0.249292 | − | 0.143929i | ||||
\(530\) | −26.1034 | + | 112.298i | −0.0492516 | + | 0.211882i | ||||
\(531\) | 124.169 | 0.233840 | ||||||||
\(532\) | 6.24699 | + | 77.3907i | 0.0117425 | + | 0.145471i | ||||
\(533\) | −256.269 | + | 256.269i | −0.480805 | + | 0.480805i | ||||
\(534\) | 23.1225 | − | 13.3498i | 0.0433005 | − | 0.0249996i | ||||
\(535\) | −388.699 | − | 207.423i | −0.726541 | − | 0.387707i | ||||
\(536\) | −247.683 | + | 429.000i | −0.462096 | + | 0.800373i | ||||
\(537\) | −1.93982 | + | 7.23951i | −0.00361233 | + | 0.0134814i | ||||
\(538\) | −427.435 | + | 427.435i | −0.794489 | + | 0.794489i | ||||
\(539\) | −231.834 | + | 611.265i | −0.430118 | + | 1.13407i | ||||
\(540\) | −12.4325 | + | 0.415490i | −0.0230231 | + | 0.000769427i | ||||
\(541\) | −21.4607 | − | 37.1710i | −0.0396685 | − | 0.0687079i | 0.845510 | − | 0.533960i | \(-0.179297\pi\) |
−0.885178 | + | 0.465253i | \(0.845964\pi\) | |||||||
\(542\) | 389.030 | − | 104.240i | 0.717767 | − | 0.192325i | ||||
\(543\) | 14.6180 | + | 54.5553i | 0.0269209 | + | 0.100470i | ||||
\(544\) | 188.404 | − | 108.775i | 0.346331 | − | 0.199954i | ||||
\(545\) | −47.2616 | + | 50.5298i | −0.0867186 | + | 0.0927152i | ||||
\(546\) | 13.6704 | + | 11.6283i | 0.0250373 | + | 0.0212972i | ||||
\(547\) | −209.989 | − | 209.989i | −0.383892 | − | 0.383892i | 0.488610 | − | 0.872502i | \(-0.337504\pi\) |
−0.872502 | + | 0.488610i | \(0.837504\pi\) | |||||||
\(548\) | 13.6591 | + | 3.65995i | 0.0249254 | + | 0.00667874i | ||||
\(549\) | 890.058 | + | 513.875i | 1.62123 | + | 0.936020i | ||||
\(550\) | −196.034 | − | 574.919i | −0.356425 | − | 1.04531i | ||||
\(551\) | −239.842 | − | 415.418i | −0.435284 | − | 0.753935i | ||||
\(552\) | −23.7221 | − | 23.7221i | −0.0429748 | − | 0.0429748i | ||||
\(553\) | 105.854 | + | 153.359i | 0.191418 | + | 0.277322i | ||||
\(554\) | − | 617.789i | − | 1.11514i | ||||||
\(555\) | −1.70444 | + | 7.33256i | −0.00307106 | + | 0.0132118i | ||||
\(556\) | 35.2332 | − | 61.0257i | 0.0633691 | − | 0.109758i | ||||
\(557\) | 208.428 | − | 55.8481i | 0.374197 | − | 0.100266i | −0.0668188 | − | 0.997765i | \(-0.521285\pi\) |
0.441016 | + | 0.897499i | \(0.354618\pi\) | |||||||
\(558\) | 299.225 | + | 80.1771i | 0.536246 | + | 0.143687i | ||||
\(559\) | 111.620i | 0.199679i | ||||||||
\(560\) | −164.381 | − | 416.687i | −0.293538 | − | 0.744084i | ||||
\(561\) | −54.4101 | −0.0969877 | ||||||||
\(562\) | −177.042 | + | 660.730i | −0.315021 | + | 1.17568i | ||||
\(563\) | 216.992 | + | 809.824i | 0.385420 | + | 1.43841i | 0.837503 | + | 0.546433i | \(0.184015\pi\) |
−0.452083 | + | 0.891976i | \(0.649319\pi\) | |||||||
\(564\) | 6.62327 | + | 3.82394i | 0.0117434 | + | 0.00678004i | ||||
\(565\) | −289.148 | − | 464.281i | −0.511766 | − | 0.821736i | ||||
\(566\) | −62.7979 | −0.110950 | ||||||||
\(567\) | −505.253 | − | 239.751i | −0.891099 | − | 0.422840i | ||||
\(568\) | 522.042 | − | 522.042i | 0.919089 | − | 0.919089i | ||||
\(569\) | 199.966 | − | 115.450i | 0.351434 | − | 0.202900i | −0.313883 | − | 0.949462i | \(-0.601630\pi\) |
0.665317 | + | 0.746561i | \(0.268297\pi\) | |||||||
\(570\) | 8.71043 | + | 28.6441i | 0.0152815 | + | 0.0502527i | ||||
\(571\) | 148.279 | − | 256.826i | 0.259683 | − | 0.449783i | −0.706474 | − | 0.707739i | \(-0.749715\pi\) |
0.966157 | + | 0.257955i | \(0.0830487\pi\) | |||||||
\(572\) | 16.3998 | − | 61.2049i | 0.0286710 | − | 0.107002i | ||||
\(573\) | −28.2506 | + | 28.2506i | −0.0493029 | + | 0.0493029i | ||||
\(574\) | −654.110 | − | 119.876i | −1.13957 | − | 0.208843i | ||||
\(575\) | −365.255 | − | 319.439i | −0.635225 | − | 0.555546i | ||||
\(576\) | −317.503 | − | 549.932i | −0.551221 | − | 0.954743i | ||||
\(577\) | 475.307 | − | 127.358i | 0.823756 | − | 0.220725i | 0.177768 | − | 0.984072i | \(-0.443112\pi\) |
0.645988 | + | 0.763348i | \(0.276446\pi\) | |||||||
\(578\) | 54.6678 | + | 204.023i | 0.0945810 | + | 0.352981i | ||||
\(579\) | 28.7244 | − | 16.5841i | 0.0496104 | − | 0.0286426i | ||||
\(580\) | −73.8002 | − | 69.0269i | −0.127242 | − | 0.119012i | ||||
\(581\) | −246.226 | − | 209.444i | −0.423796 | − | 0.360489i | ||||
\(582\) | −17.6760 | − | 17.6760i | −0.0303711 | − | 0.0303711i | ||||
\(583\) | −163.176 | − | 43.7228i | −0.279890 | − | 0.0749963i | ||||
\(584\) | −185.556 | − | 107.131i | −0.317732 | − | 0.183443i | ||||
\(585\) | 274.557 | + | 146.513i | 0.469328 | + | 0.250450i | ||||
\(586\) | −475.270 | − | 823.192i | −0.811041 | − | 1.40476i | ||||
\(587\) | 57.7809 | + | 57.7809i | 0.0984342 | + | 0.0984342i | 0.754609 | − | 0.656175i | \(-0.227827\pi\) |
−0.656175 | + | 0.754609i | \(0.727827\pi\) | |||||||
\(588\) | 0.682460 | − | 6.75367i | 0.00116065 | − | 0.0114858i | ||||
\(589\) | 308.077i | 0.523050i | ||||||||
\(590\) | −66.7153 | − | 107.124i | −0.113077 | − | 0.181566i | ||||
\(591\) | −10.6257 | + | 18.4043i | −0.0179792 | + | 0.0311409i | ||||
\(592\) | −91.8468 | + | 24.6103i | −0.155147 | + | 0.0415714i | ||||
\(593\) | 1064.17 | + | 285.145i | 1.79456 | + | 0.480851i | 0.993108 | − | 0.117206i | \(-0.0373937\pi\) |
0.801454 | + | 0.598057i | \(0.204060\pi\) | |||||||
\(594\) | 88.4247i | 0.148863i | ||||||||
\(595\) | −699.780 | + | 80.0889i | −1.17610 | + | 0.134603i | ||||
\(596\) | 134.925 | 0.226384 | ||||||||
\(597\) | 16.7434 | − | 62.4871i | 0.0280459 | − | 0.104669i | ||||
\(598\) | 63.5563 | + | 237.195i | 0.106281 | + | 0.396648i | ||||
\(599\) | 399.312 | + | 230.543i | 0.666630 | + | 0.384879i | 0.794799 | − | 0.606873i | \(-0.207576\pi\) |
−0.128168 | + | 0.991752i | \(0.540910\pi\) | |||||||
\(600\) | 24.0559 | + | 35.8960i | 0.0400931 | + | 0.0598267i | ||||
\(601\) | 569.659 | 0.947853 | 0.473926 | − | 0.880564i | \(-0.342836\pi\) | ||||
0.473926 | + | 0.880564i | \(0.342836\pi\) | |||||||
\(602\) | −168.558 | + | 116.346i | −0.279997 | + | 0.193265i | ||||
\(603\) | 367.921 | − | 367.921i | 0.610151 | − | 0.610151i | ||||
\(604\) | −130.294 | + | 75.2251i | −0.215718 | + | 0.124545i | ||||
\(605\) | 272.700 | − | 82.9257i | 0.450743 | − | 0.137067i | ||||
\(606\) | −13.3274 | + | 23.0838i | −0.0219925 | + | 0.0380920i | ||||
\(607\) | −84.8289 | + | 316.586i | −0.139751 | + | 0.521558i | 0.860182 | + | 0.509987i | \(0.170350\pi\) |
−0.999933 | + | 0.0115708i | \(0.996317\pi\) | |||||||
\(608\) | 124.028 | − | 124.028i | 0.203993 | − | 0.203993i | ||||
\(609\) | 14.0783 | + | 39.5038i | 0.0231170 | + | 0.0648667i | ||||
\(610\) | −34.8895 | − | 1043.98i | −0.0571959 | − | 1.71144i | ||||
\(611\) | −191.769 | − | 332.154i | −0.313862 | − | 0.543624i | ||||
\(612\) | −119.049 | + | 31.8992i | −0.194525 | + | 0.0521228i | ||||
\(613\) | −201.258 | − | 751.105i | −0.328317 | − | 1.22529i | −0.910936 | − | 0.412549i | \(-0.864639\pi\) |
0.582619 | − | 0.812745i | \(-0.302028\pi\) | |||||||
\(614\) | 403.938 | − | 233.214i | 0.657880 | − | 0.379827i | ||||
\(615\) | 52.8280 | − | 1.76550i | 0.0858992 | − | 0.00287072i | ||||
\(616\) | 750.353 | − | 267.409i | 1.21811 | − | 0.434105i | ||||
\(617\) | −183.288 | − | 183.288i | −0.297064 | − | 0.297064i | 0.542799 | − | 0.839863i | \(-0.317365\pi\) |
−0.839863 | + | 0.542799i | \(0.817365\pi\) | |||||||
\(618\) | −57.6757 | − | 15.4541i | −0.0933263 | − | 0.0250067i | ||||
\(619\) | 75.8333 | + | 43.7823i | 0.122509 | + | 0.0707308i | 0.560002 | − | 0.828491i | \(-0.310800\pi\) |
−0.437493 | + | 0.899222i | \(0.644134\pi\) | |||||||
\(620\) | 18.8817 | + | 62.0922i | 0.0304544 | + | 0.100149i | ||||
\(621\) | 35.3187 | + | 61.1738i | 0.0568739 | + | 0.0985085i | ||||
\(622\) | 106.336 | + | 106.336i | 0.170958 | + | 0.170958i | ||||
\(623\) | 287.686 | + | 416.792i | 0.461775 | + | 0.669009i | ||||
\(624\) | − | 18.0182i | − | 0.0288753i | ||||||
\(625\) | 381.828 | + | 494.806i | 0.610925 | + | 0.791689i | ||||
\(626\) | 327.793 | − | 567.755i | 0.523632 | − | 0.906957i | ||||
\(627\) | −42.3738 | + | 11.3540i | −0.0675819 | + | 0.0181085i | ||||
\(628\) | 16.8367 | + | 4.51137i | 0.0268100 | + | 0.00718371i | ||||
\(629\) | 149.517i | 0.237705i | ||||||||
\(630\) | 64.9295 | + | 567.324i | 0.103063 | + | 0.900515i | ||||
\(631\) | −1234.82 | −1.95692 | −0.978460 | − | 0.206439i | \(-0.933813\pi\) | ||||
−0.978460 | + | 0.206439i | \(0.933813\pi\) | |||||||
\(632\) | 58.7662 | − | 219.318i | 0.0929845 | − | 0.347023i | ||||
\(633\) | −5.62593 | − | 20.9963i | −0.00888772 | − | 0.0331694i | ||||
\(634\) | 413.440 | + | 238.699i | 0.652113 | + | 0.376498i | ||||
\(635\) | −592.475 | + | 368.986i | −0.933032 | + | 0.581080i | ||||
\(636\) | 1.75406 | 0.00275796 | ||||||||
\(637\) | −198.987 | + | 276.205i | −0.312382 | + | 0.433603i | ||||
\(638\) | −507.921 | + | 507.921i | −0.796114 | + | 0.796114i | ||||
\(639\) | −671.574 | + | 387.734i | −1.05098 | + | 0.606782i | ||||
\(640\) | −202.059 | + | 378.647i | −0.315717 | + | 0.591636i | ||||
\(641\) | 78.8710 | − | 136.609i | 0.123044 | − | 0.213118i | −0.797923 | − | 0.602760i | \(-0.794068\pi\) |
0.920967 | + | 0.389642i | \(0.127401\pi\) | |||||||
\(642\) | 8.41643 | − | 31.4105i | 0.0131097 | − | 0.0489261i | ||||
\(643\) | −783.714 | + | 783.714i | −1.21884 | + | 1.21884i | −0.250802 | + | 0.968039i | \(0.580694\pi\) |
−0.968039 | + | 0.250802i | \(0.919306\pi\) | |||||||
\(644\) | 60.1782 | − | 70.7464i | 0.0934443 | − | 0.109855i | ||||
\(645\) | 11.1204 | − | 11.8894i | 0.0172409 | − | 0.0184331i | ||||
\(646\) | 297.315 | + | 514.964i | 0.460239 | + | 0.797158i | ||||
\(647\) | −527.120 | + | 141.241i | −0.814714 | + | 0.218302i | −0.642034 | − | 0.766676i | \(-0.721909\pi\) |
−0.172680 | + | 0.984978i | \(0.555243\pi\) | |||||||
\(648\) | 176.367 | + | 658.211i | 0.272172 | + | 1.01576i | ||||
\(649\) | 160.142 | − | 92.4578i | 0.246751 | − | 0.142462i | ||||
\(650\) | −21.1173 | − | 315.588i | −0.0324882 | − | 0.485520i | ||||
\(651\) | 4.85526 | − | 26.4931i | 0.00745816 | − | 0.0406960i | ||||
\(652\) | −124.337 | − | 124.337i | −0.190701 | − | 0.190701i | ||||
\(653\) | −531.552 | − | 142.429i | −0.814016 | − | 0.218115i | −0.172287 | − | 0.985047i | \(-0.555116\pi\) |
−0.641728 | + | 0.766932i | \(0.721782\pi\) | |||||||
\(654\) | −4.42247 | − | 2.55331i | −0.00676218 | − | 0.00390415i | ||||
\(655\) | 185.403 | − | 56.3797i | 0.283059 | − | 0.0860758i | ||||
\(656\) | 333.821 | + | 578.195i | 0.508874 | + | 0.881395i | ||||
\(657\) | 159.137 | + | 159.137i | 0.242218 | + | 0.242218i | ||||
\(658\) | 301.700 | − | 635.807i | 0.458511 | − | 0.966271i | ||||
\(659\) | − | 717.399i | − | 1.08862i | −0.838885 | − | 0.544309i | \(-0.816792\pi\) | ||
0.838885 | − | 0.544309i | \(-0.183208\pi\) | |||||||
\(660\) | −7.84448 | + | 4.88543i | −0.0118856 | + | 0.00740217i | ||||
\(661\) | −364.979 | + | 632.163i | −0.552162 | + | 0.956373i | 0.445956 | + | 0.895055i | \(0.352864\pi\) |
−0.998118 | + | 0.0613181i | \(0.980470\pi\) | |||||||
\(662\) | 435.794 | − | 116.771i | 0.658300 | − | 0.176391i | ||||
\(663\) | −27.3668 | − | 7.33292i | −0.0412773 | − | 0.0110602i | ||||
\(664\) | 393.877i | 0.593188i | ||||||||
\(665\) | −528.266 | + | 208.399i | −0.794385 | + | 0.313382i | ||||
\(666\) | 121.216 | 0.182006 | ||||||||
\(667\) | −148.514 | + | 554.263i | −0.222660 | + | 0.830979i | ||||
\(668\) | −48.8771 | − | 182.412i | −0.0731694 | − | 0.273072i | ||||
\(669\) | 15.4121 | + | 8.89815i | 0.0230375 | + | 0.0133007i | ||||
\(670\) | −515.097 | − | 119.733i | −0.768802 | − | 0.178706i | ||||
\(671\) | 1530.55 | 2.28100 | ||||||||
\(672\) | −12.6205 | + | 8.71112i | −0.0187804 | + | 0.0129630i | ||||
\(673\) | 332.341 | − | 332.341i | 0.493821 | − | 0.493821i | −0.415687 | − | 0.909508i | \(-0.636459\pi\) |
0.909508 | + | 0.415687i | \(0.136459\pi\) | |||||||
\(674\) | 168.914 | − | 97.5228i | 0.250615 | − | 0.144693i | ||||
\(675\) | −29.3633 | − | 86.1152i | −0.0435012 | − | 0.127578i | ||||
\(676\) | −41.2676 | + | 71.4775i | −0.0610467 | + | 0.105736i | ||||
\(677\) | −24.3767 | + | 90.9750i | −0.0360069 | + | 0.134380i | −0.981590 | − | 0.191002i | \(-0.938826\pi\) |
0.945583 | + | 0.325382i | \(0.105493\pi\) | |||||||
\(678\) | 28.5460 | − | 28.5460i | 0.0421032 | − | 0.0421032i | ||||
\(679\) | 307.216 | − | 361.168i | 0.452453 | − | 0.531911i | ||||
\(680\) | 626.790 | + | 586.251i | 0.921751 | + | 0.862134i | ||||
\(681\) | 8.28175 | + | 14.3444i | 0.0121612 | + | 0.0210637i | ||||
\(682\) | 445.614 | − | 119.402i | 0.653393 | − | 0.175076i | ||||
\(683\) | −172.695 | − | 644.506i | −0.252848 | − | 0.943640i | −0.969275 | − | 0.245979i | \(-0.920891\pi\) |
0.716428 | − | 0.697661i | \(-0.245776\pi\) | |||||||
\(684\) | −86.0573 | + | 49.6852i | −0.125815 | + | 0.0726392i | ||||
\(685\) | 3.45464 | + | 103.371i | 0.00504326 | + | 0.150907i | ||||
\(686\) | −624.509 | − | 12.5935i | −0.910363 | − | 0.0183579i | ||||
\(687\) | 25.3961 | + | 25.3961i | 0.0369666 | + | 0.0369666i | ||||
\(688\) | 198.619 | + | 53.2197i | 0.288690 | + | 0.0773543i | ||||
\(689\) | −76.1804 | − | 43.9828i | −0.110567 | − | 0.0638357i | ||||
\(690\) | 16.8612 | − | 31.5970i | 0.0244365 | − | 0.0457927i | ||||
\(691\) | 568.261 | + | 984.257i | 0.822375 | + | 1.42440i | 0.903909 | + | 0.427725i | \(0.140685\pi\) |
−0.0815341 | + | 0.996671i | \(0.525982\pi\) | |||||||
\(692\) | 31.9923 | + | 31.9923i | 0.0462316 | + | 0.0462316i | ||||
\(693\) | −833.991 | + | 67.3199i | −1.20345 | + | 0.0971427i | ||||
\(694\) | − | 32.5466i | − | 0.0468971i | ||||||
\(695\) | 502.017 | + | 116.693i | 0.722326 | + | 0.167903i | ||||
\(696\) | 25.5498 | − | 44.2536i | 0.0367095 | − | 0.0635827i | ||||
\(697\) | 1014.04 | − | 271.712i | 1.45487 | − | 0.389831i | ||||
\(698\) | −183.477 | − | 49.1624i | −0.262860 | − | 0.0704332i | ||||
\(699\) | − | 28.0530i | − | 0.0401331i | ||||||
\(700\) | −93.6984 | + | 74.3793i | −0.133855 | + | 0.106256i | ||||
\(701\) | −543.717 | −0.775631 | −0.387815 | − | 0.921737i | \(-0.626770\pi\) | ||||
−0.387815 | + | 0.921737i | \(0.626770\pi\) | |||||||
\(702\) | −11.9171 | + | 44.4752i | −0.0169759 | + | 0.0633550i | ||||
\(703\) | 31.2004 | + | 116.441i | 0.0443817 | + | 0.165635i | ||||
\(704\) | −818.973 | − | 472.834i | −1.16331 | − | 0.671640i | ||||
\(705\) | −12.6649 | + | 54.4851i | −0.0179645 | + | 0.0772838i | ||||
\(706\) | −1028.24 | −1.45643 | ||||||||
\(707\) | −456.774 | − | 216.746i | −0.646073 | − | 0.306572i | ||||
\(708\) | −1.35766 | + | 1.35766i | −0.00191760 | + | 0.00191760i | ||||
\(709\) | −242.046 | + | 139.745i | −0.341391 | + | 0.197102i | −0.660887 | − | 0.750486i | \(-0.729820\pi\) |
0.319496 | + | 0.947588i | \(0.396486\pi\) | |||||||
\(710\) | 695.342 | + | 371.058i | 0.979354 | + | 0.522617i | ||||
\(711\) | −119.246 | + | 206.540i | −0.167716 | + | 0.290493i | ||||
\(712\) | 159.712 | − | 596.053i | 0.224315 | − | 0.837154i | ||||
\(713\) | 260.592 | − | 260.592i | 0.365487 | − | 0.365487i | ||||
\(714\) | −17.4518 | − | 48.9701i | −0.0244423 | − | 0.0685855i | ||||
\(715\) | 463.194 | − | 15.4798i | 0.647824 | − | 0.0216501i | ||||
\(716\) | 12.6415 | + | 21.8958i | 0.0176558 | + | 0.0305807i | ||||
\(717\) | 63.2238 | − | 16.9408i | 0.0881783 | − | 0.0236273i | ||||
\(718\) | 63.7341 | + | 237.859i | 0.0887661 | + | 0.331280i | ||||
\(719\) | 144.731 | − | 83.5608i | 0.201296 | − | 0.116218i | −0.395964 | − | 0.918266i | \(-0.629590\pi\) |
0.597260 | + | 0.802048i | \(0.296256\pi\) | |||||||
\(720\) | 391.613 | − | 418.693i | 0.543907 | − | 0.581519i | ||||
\(721\) | 204.163 | − | 1114.03i | 0.283167 | − | 1.54512i | ||||
\(722\) | −125.859 | − | 125.859i | −0.174320 | − | 0.174320i | ||||
\(723\) | 43.7391 | + | 11.7199i | 0.0604967 | + | 0.0162100i | ||||
\(724\) | 165.001 | + | 95.2636i | 0.227902 | + | 0.131580i | ||||
\(725\) | 325.989 | − | 663.321i | 0.449640 | − | 0.914925i | ||||
\(726\) | 10.5188 | + | 18.2191i | 0.0144887 | + | 0.0250951i | ||||
\(727\) | −508.408 | − | 508.408i | −0.699323 | − | 0.699323i | 0.264941 | − | 0.964265i | \(-0.414647\pi\) |
−0.964265 | + | 0.264941i | \(0.914647\pi\) | |||||||
\(728\) | 413.446 | − | 33.3735i | 0.567921 | − | 0.0458427i | ||||
\(729\) | − | 709.118i | − | 0.972726i | ||||||
\(730\) | 51.7883 | − | 222.795i | 0.0709429 | − | 0.305199i | ||||
\(731\) | 161.665 | − | 280.012i | 0.221156 | − | 0.383053i | ||||
\(732\) | −15.3506 | + | 4.11318i | −0.0209707 | + | 0.00561910i | ||||
\(733\) | −184.718 | − | 49.4951i | −0.252003 | − | 0.0675240i | 0.130606 | − | 0.991434i | \(-0.458308\pi\) |
−0.382609 | + | 0.923910i | \(0.624974\pi\) | |||||||
\(734\) | 977.683i | 1.33199i | ||||||||
\(735\) | 48.7127 | − | 9.59585i | 0.0662758 | − | 0.0130556i | ||||
\(736\) | −209.822 | −0.285085 | ||||||||
\(737\) | 200.552 | − | 748.470i | 0.272119 | − | 1.01556i | ||||
\(738\) | −220.282 | − | 822.103i | −0.298485 | − | 1.11396i | ||||
\(739\) | −272.574 | − | 157.371i | −0.368841 | − | 0.212951i | 0.304111 | − | 0.952637i | \(-0.401641\pi\) |
−0.672952 | + | 0.739686i | \(0.734974\pi\) | |||||||
\(740\) | 13.4249 | + | 21.5563i | 0.0181418 | + | 0.0291301i | ||||
\(741\) | −22.8431 | −0.0308274 | ||||||||
\(742\) | −12.9867 | − | 160.885i | −0.0175022 | − | 0.216826i | ||||
\(743\) | −571.551 | + | 571.551i | −0.769248 | + | 0.769248i | −0.977974 | − | 0.208726i | \(-0.933068\pi\) |
0.208726 | + | 0.977974i | \(0.433068\pi\) | |||||||
\(744\) | −28.4218 | + | 16.4094i | −0.0382014 | + | 0.0220556i | ||||
\(745\) | 287.114 | + | 944.167i | 0.385388 | + | 1.26734i | ||||
\(746\) | −551.088 | + | 954.513i | −0.738725 | + | 1.27951i | ||||
\(747\) | 107.078 | − | 399.620i | 0.143344 | − | 0.534967i | ||||
\(748\) | −129.786 | + | 129.786i | −0.173511 | + | 0.173511i | ||||
\(749\) | 606.709 | + | 111.189i | 0.810025 | + | 0.148449i | ||||
\(750\) | −29.1917 | + | 35.7190i | −0.0389222 | + | 0.0476253i | ||||
\(751\) | 419.838 | + | 727.180i | 0.559038 | + | 0.968282i | 0.997577 | + | 0.0695702i | \(0.0221628\pi\) |
−0.438539 | + | 0.898712i | \(0.644504\pi\) | |||||||
\(752\) | −682.473 | + | 182.868i | −0.907544 | + | 0.243176i | ||||
\(753\) | −3.52228 | − | 13.1453i | −0.00467766 | − | 0.0174573i | ||||
\(754\) | −323.924 | + | 187.017i | −0.429607 | + | 0.248034i | ||||
\(755\) | −803.664 | − | 751.685i | −1.06446 | − | 0.995609i | ||||
\(756\) | 16.4046 | − | 5.84623i | 0.0216992 | − | 0.00773311i | ||||
\(757\) | 587.717 | + | 587.717i | 0.776376 | + | 0.776376i | 0.979213 | − | 0.202836i | \(-0.0650160\pi\) |
−0.202836 | + | 0.979213i | \(0.565016\pi\) | |||||||
\(758\) | −1119.36 | − | 299.933i | −1.47673 | − | 0.395690i | ||||
\(759\) | 45.4467 | + | 26.2386i | 0.0598770 | + | 0.0345700i | ||||
\(760\) | 610.471 | + | 325.768i | 0.803252 | + | 0.428643i | ||||
\(761\) | −47.6077 | − | 82.4590i | −0.0625594 | − | 0.108356i | 0.833049 | − | 0.553199i | \(-0.186593\pi\) |
−0.895609 | + | 0.444843i | \(0.853260\pi\) | |||||||
\(762\) | −36.4279 | − | 36.4279i | −0.0478057 | − | 0.0478057i | ||||
\(763\) | 41.5250 | − | 87.5102i | 0.0544233 | − | 0.114692i | ||||
\(764\) | 134.774i | 0.176406i | ||||||||
\(765\) | −476.554 | − | 765.196i | −0.622946 | − | 1.00026i | ||||
\(766\) | 207.674 | − | 359.702i | 0.271115 | − | 0.469585i | ||||
\(767\) | 93.0076 | − | 24.9213i | 0.121261 | − | 0.0324919i | ||||
\(768\) | 24.8987 | + | 6.67158i | 0.0324202 | + | 0.00868696i | ||||
\(769\) | − | 1088.01i | − | 1.41483i | −0.706797 | − | 0.707417i | \(-0.749861\pi\) | ||
0.706797 | − | 0.707417i | \(-0.250139\pi\) | |||||||
\(770\) | 506.177 | + | 683.336i | 0.657373 | + | 0.887449i | ||||
\(771\) | 20.7938 | 0.0269699 | ||||||||
\(772\) | 28.9589 | − | 108.076i | 0.0375115 | − | 0.139995i | ||||
\(773\) | −349.991 | − | 1306.19i | −0.452770 | − | 1.68976i | −0.694562 | − | 0.719433i | \(-0.744402\pi\) |
0.241792 | − | 0.970328i | \(-0.422265\pi\) | |||||||
\(774\) | −227.010 | − | 131.065i | −0.293295 | − | 0.169334i | ||||
\(775\) | −394.325 | + | 264.259i | −0.508807 | + | 0.340979i | ||||
\(776\) | −577.745 | −0.744517 | ||||||||
\(777\) | −0.847974 | − | 10.5051i | −0.00109134 | − | 0.0135201i | ||||
\(778\) | −235.727 | + | 235.727i | −0.302991 | + | 0.302991i | ||||
\(779\) | 733.023 | − | 423.211i | 0.940980 | − | 0.543275i | ||||
\(780\) | −4.60398 | + | 1.40003i | −0.00590253 | + | 0.00179491i | ||||
\(781\) | −577.423 | + | 1000.13i | −0.739339 | + | 1.28057i | ||||
\(782\) | 184.103 | − | 687.080i | 0.235425 | − | 0.878619i | ||||
\(783\) | −76.0798 | + | 76.0798i | −0.0971645 | + | 0.0971645i | ||||
\(784\) | 396.608 | + | 485.772i | 0.505877 | + | 0.619607i | ||||
\(785\) | 4.25829 | + | 127.419i | 0.00542457 | + | 0.162317i | ||||
\(786\) | 7.15153 | + | 12.3868i | 0.00909863 | + | 0.0157593i | ||||
\(787\) | −883.248 | + | 236.666i | −1.12230 | + | 0.300719i | −0.771813 | − | 0.635850i | \(-0.780650\pi\) |
−0.350485 | + | 0.936568i | \(0.613983\pi\) | |||||||
\(788\) | 18.5544 | + | 69.2461i | 0.0235463 | + | 0.0878758i | ||||
\(789\) | 10.6606 | − | 6.15488i | 0.0135115 | − | 0.00780087i | ||||
\(790\) | 242.258 | − | 8.09620i | 0.306656 | − | 0.0102484i | ||||
\(791\) | 583.271 | + | 496.140i | 0.737384 | + | 0.627232i | ||||
\(792\) | 720.895 | + | 720.895i | 0.910221 | + | 0.910221i | ||||
\(793\) | 769.827 | + | 206.274i | 0.970778 | + | 0.260119i | ||||
\(794\) | −1099.90 | − | 635.025i | −1.38526 | − | 0.799780i | ||||
\(795\) | 3.73257 | + | 12.2745i | 0.00469505 | + | 0.0154396i | ||||
\(796\) | −109.114 | − | 188.991i | −0.137078 | − | 0.237426i | ||||
\(797\) | 851.561 | + | 851.561i | 1.06846 | + | 1.06846i | 0.997478 | + | 0.0709806i | \(0.0226129\pi\) |
0.0709806 | + | 0.997478i | \(0.477387\pi\) | |||||||
\(798\) | −23.8101 | − | 34.4954i | −0.0298372 | − | 0.0432273i | ||||
\(799\) | 1110.99i | 1.39048i | ||||||||
\(800\) | 265.138 | + | 52.3631i | 0.331422 | + | 0.0654539i | ||||
\(801\) | −324.082 | + | 561.326i | −0.404596 | + | 0.700781i | ||||
\(802\) | −101.628 | + | 27.2312i | −0.126719 | + | 0.0339541i | ||||
\(803\) | 323.736 | + | 86.7448i | 0.403158 | + | 0.108026i | ||||
\(804\) | 8.04569i | 0.0100071i | ||||||||
\(805\) | 623.121 | + | 270.566i | 0.774064 | + | 0.336107i | ||||
\(806\) | 240.224 | 0.298044 | ||||||||
\(807\) | −17.4097 | + | 64.9739i | −0.0215734 | + | 0.0805129i | ||||
\(808\) | 159.445 | + | 595.056i | 0.197333 | + | 0.736455i | ||||
\(809\) | −1036.63 | − | 598.496i | −1.28137 | − | 0.739797i | −0.304268 | − | 0.952586i | \(-0.598412\pi\) |
−0.977098 | + | 0.212789i | \(0.931745\pi\) | |||||||
\(810\) | −617.501 | + | 384.571i | −0.762347 | + | 0.474780i | ||||
\(811\) | 340.194 | 0.419475 | 0.209737 | − | 0.977758i | \(-0.432739\pi\) | ||||
0.209737 | + | 0.977758i | \(0.432739\pi\) | |||||||
\(812\) | 127.811 | + | 60.6484i | 0.157403 | + | 0.0746902i | ||||
\(813\) | 31.6909 | − | 31.6909i | 0.0389802 | − | 0.0389802i | ||||
\(814\) | 156.333 | − | 90.2588i | 0.192055 | − | 0.110883i | ||||
\(815\) | 605.493 | − | 1134.66i | 0.742936 | − | 1.39222i | ||||
\(816\) | −26.0966 | + | 45.2006i | −0.0319811 | + | 0.0553928i | ||||
\(817\) | 67.4708 | − | 251.804i | 0.0825836 | − | 0.308206i | ||||
\(818\) | 647.265 | − | 647.265i | 0.791278 | − | 0.791278i | ||||
\(819\) | −428.548 | − | 78.5378i | −0.523257 | − | 0.0958948i | ||||
\(820\) | 121.801 | − | 130.224i | 0.148538 | − | 0.158809i | ||||
\(821\) | 7.41467 | + | 12.8426i | 0.00903126 | + | 0.0156426i | 0.870506 | − | 0.492158i | \(-0.163792\pi\) |
−0.861474 | + | 0.507801i | \(0.830459\pi\) | |||||||
\(822\) | −7.37381 | + | 1.97581i | −0.00897057 | + | 0.00240366i | ||||
\(823\) | −150.360 | − | 561.151i | −0.182698 | − | 0.681837i | −0.995112 | − | 0.0987557i | \(-0.968514\pi\) |
0.812414 | − | 0.583081i | \(-0.198153\pi\) | |||||||
\(824\) | −1195.13 | + | 690.011i | −1.45041 | + | 0.837393i | ||||
\(825\) | −50.8797 | − | 44.4976i | −0.0616724 | − | 0.0539365i | ||||
\(826\) | 134.578 | + | 114.475i | 0.162928 | + | 0.138589i | ||||
\(827\) | 1100.01 | + | 1100.01i | 1.33012 | + | 1.33012i | 0.905260 | + | 0.424859i | \(0.139676\pi\) |
0.424859 | + | 0.905260i | \(0.360324\pi\) | |||||||
\(828\) | 114.820 | + | 30.7660i | 0.138672 | + | 0.0371570i | ||||
\(829\) | 259.389 | + | 149.758i | 0.312894 | + | 0.180649i | 0.648221 | − | 0.761452i | \(-0.275513\pi\) |
−0.335327 | + | 0.942102i | \(0.608847\pi\) | |||||||
\(830\) | −402.295 | + | 122.335i | −0.484693 | + | 0.147391i | ||||
\(831\) | −34.3732 | − | 59.5362i | −0.0413637 | − | 0.0716440i | ||||
\(832\) | −348.197 | − | 348.197i | −0.418506 | − | 0.418506i | ||||
\(833\) | 899.220 | − | 404.689i | 1.07950 | − | 0.485821i | ||||
\(834\) | 38.0409i | 0.0456126i | ||||||||
\(835\) | 1172.46 | − | 730.194i | 1.40415 | − | 0.874484i | ||||
\(836\) | −73.9925 | + | 128.159i | −0.0885078 | + | 0.153300i | ||||
\(837\) | 66.7471 | − | 17.8848i | 0.0797456 | − | 0.0213678i | ||||
\(838\) | 1089.12 | + | 291.830i | 1.29967 | + | 0.348246i | ||||
\(839\) | 316.327i | 0.377028i | 0.982070 | + | 0.188514i | \(0.0603671\pi\) | ||||
−0.982070 | + | 0.188514i | \(0.939633\pi\) | |||||||
\(840\) | −47.3635 | − | 37.6355i | −0.0563851 | − | 0.0448041i | ||||
\(841\) | −33.0214 | −0.0392645 | ||||||||
\(842\) | 11.9435 | − | 44.5737i | 0.0141847 | − | 0.0529379i | ||||
\(843\) | 19.7009 | + | 73.5248i | 0.0233700 | + | 0.0872181i | ||||
\(844\) | −63.5028 | − | 36.6633i | −0.0752403 | − | 0.0434400i | ||||
\(845\) | −587.997 | − | 136.679i | −0.695854 | − | 0.161750i | ||||
\(846\) | 900.701 | 1.06466 | ||||||||
\(847\) | −328.406 | + | 226.678i | −0.387729 | + | 0.267625i | ||||
\(848\) | −114.586 | + | 114.586i | −0.135125 | + | 0.135125i | ||||
\(849\) | −6.05182 | + | 3.49402i | −0.00712818 | + | 0.00411545i | ||||
\(850\) | −404.105 | + | 822.271i | −0.475418 | + | 0.967378i | ||||
\(851\) | 72.1026 | − | 124.885i | 0.0847269 | − | 0.146751i | ||||
\(852\) | 3.10351 | − | 11.5825i | 0.00364262 | − | 0.0135944i | ||||
\(853\) | −667.535 | + | 667.535i | −0.782574 | + | 0.782574i | −0.980264 | − | 0.197691i | \(-0.936656\pi\) |
0.197691 | + | 0.980264i | \(0.436656\pi\) | |||||||
\(854\) | 490.919 | + | 1377.52i | 0.574846 | + | 1.61303i | ||||
\(855\) | −530.810 | − | 496.479i | −0.620831 | − | 0.580677i | ||||
\(856\) | −375.785 | − | 650.878i | −0.439001 | − | 0.760372i | ||||
\(857\) | −1343.30 | + | 359.937i | −1.56745 | + | 0.419996i | −0.935011 | − | 0.354617i | \(-0.884611\pi\) |
−0.632435 | + | 0.774613i | \(0.717944\pi\) | |||||||
\(858\) | 8.85334 | + | 33.0411i | 0.0103186 | + | 0.0385095i | ||||
\(859\) | −81.4963 | + | 47.0519i | −0.0948734 | + | 0.0547752i | −0.546686 | − | 0.837338i | \(-0.684111\pi\) |
0.451813 | + | 0.892113i | \(0.350778\pi\) | |||||||
\(860\) | −1.83427 | − | 54.8859i | −0.00213287 | − | 0.0638208i | ||||
\(861\) | −69.7062 | + | 24.8417i | −0.0809596 | + | 0.0288522i | ||||
\(862\) | 244.366 | + | 244.366i | 0.283487 | + | 0.283487i | ||||
\(863\) | −204.921 | − | 54.9083i | −0.237451 | − | 0.0636249i | 0.138131 | − | 0.990414i | \(-0.455891\pi\) |
−0.375582 | + | 0.926789i | \(0.622557\pi\) | |||||||
\(864\) | −34.0717 | − | 19.6713i | −0.0394349 | − | 0.0227677i | ||||
\(865\) | −155.795 | + | 291.952i | −0.180110 | + | 0.337516i | ||||
\(866\) | −37.2022 | − | 64.4360i | −0.0429586 | − | 0.0744065i | ||||
\(867\) | 16.6200 | + | 16.6200i | 0.0191695 | + | 0.0191695i | ||||
\(868\) | −51.6134 | − | 74.7763i | −0.0594625 | − | 0.0861478i | ||||
\(869\) | 355.169i | 0.408710i | ||||||||
\(870\) | 53.1349 | + | 12.3511i | 0.0610746 | + | 0.0141967i | ||||
\(871\) | 201.744 | − | 349.431i | 0.231624 | − | 0.401184i | ||||
\(872\) | −114.003 | + | 30.5469i | −0.130737 | + | 0.0350309i | ||||
\(873\) | 586.169 | + | 157.064i | 0.671442 | + | 0.179912i | ||||
\(874\) | − | 573.506i | − | 0.656185i | ||||||
\(875\) | −719.873 | − | 497.401i | −0.822712 | − | 0.568458i | ||||
\(876\) | −3.48001 | −0.00397261 | ||||||||
\(877\) | −171.806 | + | 641.189i | −0.195902 | + | 0.731117i | 0.796129 | + | 0.605126i | \(0.206877\pi\) |
−0.992031 | + | 0.125990i | \(0.959789\pi\) | |||||||
\(878\) | −60.4682 | − | 225.670i | −0.0688704 | − | 0.257028i | ||||
\(879\) | −91.6033 | − | 52.8872i | −0.104213 | − | 0.0601675i | ||||
\(880\) | 193.302 | − | 831.593i | 0.219661 | − | 0.944992i | ||||
\(881\) | −1175.12 | −1.33385 | −0.666924 | − | 0.745125i | \(-0.732390\pi\) | ||||
−0.666924 | + | 0.745125i | \(0.732390\pi\) | |||||||
\(882\) | −328.088 | − | 729.014i | −0.371982 | − | 0.826546i | ||||
\(883\) | −482.778 | + | 482.778i | −0.546747 | + | 0.546747i | −0.925499 | − | 0.378751i | \(-0.876354\pi\) |
0.378751 | + | 0.925499i | \(0.376354\pi\) | |||||||
\(884\) | −82.7704 | + | 47.7875i | −0.0936317 | + | 0.0540583i | ||||
\(885\) | −12.3896 | − | 6.61152i | −0.0139996 | − | 0.00747064i | ||||
\(886\) | 334.873 | − | 580.018i | 0.377961 | − | 0.654648i | ||||
\(887\) | 111.260 | − | 415.227i | 0.125434 | − | 0.468126i | −0.874421 | − | 0.485168i | \(-0.838758\pi\) |
0.999855 | + | 0.0170425i | \(0.00542505\pi\) | |||||||
\(888\) | −9.08053 | + | 9.08053i | −0.0102258 | + | 0.0102258i | ||||
\(889\) | 633.132 | − | 744.320i | 0.712184 | − | 0.837255i | ||||
\(890\) | 658.398 | − | 22.0035i | 0.739773 | − | 0.0247230i | ||||
\(891\) | −532.961 | − | 923.115i | −0.598160 | − | 1.03604i | ||||
\(892\) | 57.9880 | − | 15.5378i | 0.0650089 | − | 0.0174191i | ||||
\(893\) | 231.836 | + | 865.225i | 0.259615 | + | 0.968897i | ||||
\(894\) | −63.0799 | + | 36.4192i | −0.0705591 | + | 0.0407373i | ||||
\(895\) | −126.320 | + | 135.055i | −0.141140 | + | 0.150900i | ||||
\(896\) | 108.313 | − | 591.018i | 0.120885 | − | 0.659619i | ||||
\(897\) | 19.3222 | + | 19.3222i | 0.0215410 | + | 0.0215410i | ||||
\(898\) | −181.297 | − | 48.5784i | −0.201890 | − | 0.0540962i | ||||
\(899\) | 486.135 | + | 280.670i | 0.540750 | + | 0.312202i | ||||
\(900\) | −137.412 | − | 67.5313i | −0.152680 | − | 0.0750348i | ||||
\(901\) | 127.404 | + | 220.671i | 0.141403 | + | 0.244918i | ||||
\(902\) | −896.249 | − | 896.249i | −0.993624 | − | 0.993624i | ||||
\(903\) | −9.77058 | + | 20.5906i | −0.0108201 | + | 0.0228025i | ||||
\(904\) | − | 933.034i | − | 1.03212i | ||||||
\(905\) | −315.514 | + | 1357.35i | −0.348634 | + | 1.49984i | ||||
\(906\) | 40.6098 | − | 70.3383i | 0.0448232 | − | 0.0776361i | ||||
\(907\) | −104.202 | + | 27.9209i | −0.114887 | + | 0.0307838i | −0.315804 | − | 0.948824i | \(-0.602274\pi\) |
0.200918 | + | 0.979608i | \(0.435608\pi\) | |||||||
\(908\) | 53.9709 | + | 14.4615i | 0.0594393 | + | 0.0159267i | ||||
\(909\) | − | 647.078i | − | 0.711857i | ||||||
\(910\) | 162.500 | + | 411.917i | 0.178571 | + | 0.452657i | ||||
\(911\) | −487.357 | −0.534970 | −0.267485 | − | 0.963562i | \(-0.586193\pi\) | ||||
−0.267485 | + | 0.963562i | \(0.586193\pi\) | |||||||
\(912\) | −10.8914 | + | 40.6472i | −0.0119423 | + | 0.0445693i | ||||
\(913\) | −159.463 | − | 595.125i | −0.174659 | − | 0.651835i | ||||
\(914\) | 1331.92 | + | 768.984i | 1.45724 | + | 0.841340i | ||||
\(915\) | −61.4483 | − | 98.6668i | −0.0671566 | − | 0.107833i | ||||
\(916\) | 121.156 | 0.132267 | ||||||||
\(917\) | −223.277 | + | 154.115i | −0.243487 | + | 0.168064i | ||||
\(918\) | 94.3107 | − | 94.3107i | 0.102735 | − | 0.102735i | ||||
\(919\) | 746.144 | − | 430.786i | 0.811908 | − | 0.468755i | −0.0357099 | − | 0.999362i | \(-0.511369\pi\) |
0.847618 | + | 0.530607i | \(0.178036\pi\) | |||||||
\(920\) | −240.821 | − | 791.935i | −0.261762 | − | 0.860799i | ||||
\(921\) | 25.9516 | − | 44.9495i | 0.0281777 | − | 0.0488051i | ||||
\(922\) | 80.4263 | − | 300.155i | 0.0872303 | − | 0.325548i | ||||
\(923\) | −425.217 | + | 425.217i | −0.460690 | + | 0.460690i | ||||
\(924\) | 8.38277 | − | 9.85492i | 0.00907227 | − | 0.0106655i | ||||
\(925\) | −122.277 | + | 139.815i | −0.132192 | + | 0.151151i | ||||
\(926\) | −38.1628 | − | 66.0999i | −0.0412125 | − | 0.0713822i | ||||
\(927\) | 1400.14 | − | 375.168i | 1.51040 | − | 0.404712i | ||||
\(928\) | −82.7175 | − | 308.706i | −0.0891353 | − | 0.332657i | ||||
\(929\) | −265.121 | + | 153.067i | −0.285383 | + | 0.164766i | −0.635858 | − | 0.771806i | \(-0.719354\pi\) |
0.350475 | + | 0.936572i | \(0.386020\pi\) | |||||||
\(930\) | −25.5876 | − | 23.9327i | −0.0275136 | − | 0.0257341i | ||||
\(931\) | 615.851 | − | 502.810i | 0.661494 | − | 0.540076i | ||||
\(932\) | −66.9158 | − | 66.9158i | −0.0717981 | − | 0.0717981i | ||||
\(933\) | 16.1639 | + | 4.33112i | 0.0173247 | + | 0.00464214i | ||||
\(934\) | 430.919 | + | 248.791i | 0.461370 | + | 0.266372i | ||||
\(935\) | −1184.39 | − | 632.031i | −1.26673 | − | 0.675969i | ||||
\(936\) | 265.435 | + | 459.747i | 0.283584 | + | 0.491182i | ||||
\(937\) | 542.259 | + | 542.259i | 0.578718 | + | 0.578718i | 0.934550 | − | 0.355832i | \(-0.115802\pi\) |
−0.355832 | + | 0.934550i | \(0.615802\pi\) | |||||||
\(938\) | 737.962 | − | 59.5684i | 0.786740 | − | 0.0635058i | ||||
\(939\) | − | 72.9525i | − | 0.0776917i | ||||||
\(940\) | 99.7549 | + | 160.175i | 0.106122 | + | 0.170399i | ||||
\(941\) | 78.8576 | − | 136.585i | 0.0838019 | − | 0.145149i | −0.821078 | − | 0.570816i | \(-0.806627\pi\) |
0.904880 | + | 0.425667i | \(0.139960\pi\) | |||||||
\(942\) | −9.08918 | + | 2.43544i | −0.00964881 | + | 0.00258539i | ||||
\(943\) | −978.022 | − | 262.060i | −1.03714 | − | 0.277900i | ||||
\(944\) | − | 177.381i | − | 0.187904i | ||||||
\(945\) | 75.8187 | + | 102.355i | 0.0802314 | + | 0.108312i | ||||
\(946\) | −390.370 | −0.412653 | ||||||||
\(947\) | 161.343 | − | 602.139i | 0.170372 | − | 0.635838i | −0.826921 | − | 0.562318i | \(-0.809910\pi\) |
0.997294 | − | 0.0735206i | \(-0.0234235\pi\) | |||||||
\(948\) | −0.954474 | − | 3.56215i | −0.00100683 | − | 0.00375754i | ||||
\(949\) | 151.140 | + | 87.2606i | 0.159262 | + | 0.0919500i | ||||
\(950\) | −143.124 | + | 724.700i | −0.150657 | + | 0.762842i | ||||
\(951\) | 53.1241 | 0.0558613 | ||||||||
\(952\) | −1085.51 | − | 515.092i | −1.14024 | − | 0.541063i | ||||
\(953\) | −354.398 | + | 354.398i | −0.371877 | + | 0.371877i | −0.868160 | − | 0.496284i | \(-0.834698\pi\) |
0.496284 | + | 0.868160i | \(0.334698\pi\) | |||||||
\(954\) | 178.902 | − | 103.289i | 0.187528 | − | 0.108269i | ||||
\(955\) | −943.113 | + | 286.793i | −0.987553 | + | 0.300307i | ||||
\(956\) | 110.400 | − | 191.219i | 0.115482 | − | 0.200020i | ||||
\(957\) | −20.6879 | + | 77.2085i | −0.0216175 | + | 0.0806776i | ||||
\(958\) | 299.884 | − | 299.884i | 0.313032 | − | 0.313032i | ||||
\(959\) | −48.6091 | − | 136.398i | −0.0506873 | − | 0.142229i | ||||
\(960\) | 2.39881 | + | 71.7782i | 0.00249876 | + | 0.0747690i | ||||
\(961\) | 300.240 | + | 520.031i | 0.312424 | + | 0.541135i | ||||
\(962\) | 90.7955 | − | 24.3286i | 0.0943820 | − | 0.0252896i | ||||
\(963\) | 204.319 | + | 762.528i | 0.212169 | + | 0.791826i | ||||
\(964\) | 132.288 | − | 76.3766i | 0.137228 | − | 0.0792289i | ||||
\(965\) | 817.910 | − | 27.3343i | 0.847575 | − | 0.0283257i | ||||
\(966\) | −9.03841 | + | 49.3187i | −0.00935653 | + | 0.0510546i | ||||
\(967\) | −9.04962 | − | 9.04962i | −0.00935845 | − | 0.00935845i | 0.702412 | − | 0.711771i | \(-0.252106\pi\) |
−0.711771 | + | 0.702412i | \(0.752106\pi\) | |||||||
\(968\) | 469.653 | + | 125.843i | 0.485178 | + | 0.130003i | ||||
\(969\) | 57.3043 | + | 33.0846i | 0.0591375 | + | 0.0341431i | ||||
\(970\) | −179.443 | − | 590.093i | −0.184992 | − | 0.608343i | ||||
\(971\) | 274.697 | + | 475.789i | 0.282901 | + | 0.489999i | 0.972098 | − | 0.234575i | \(-0.0753699\pi\) |
−0.689197 | + | 0.724574i | \(0.742037\pi\) | |||||||
\(972\) | 23.6589 | + | 23.6589i | 0.0243404 | + | 0.0243404i | ||||
\(973\) | −719.222 | + | 58.0557i | −0.739179 | + | 0.0596667i | ||||
\(974\) | 120.253i | 0.123463i | ||||||||
\(975\) | −19.5941 | − | 29.2382i | −0.0200965 | − | 0.0299879i | ||||
\(976\) | 734.094 | − | 1271.49i | 0.752146 | − | 1.30275i | ||||
\(977\) | 656.152 | − | 175.815i | 0.671599 | − | 0.179954i | 0.0931239 | − | 0.995655i | \(-0.470315\pi\) |
0.578475 | + | 0.815700i | \(0.303648\pi\) | |||||||
\(978\) | 91.6911 | + | 24.5686i | 0.0937537 | + | 0.0251212i | ||||
\(979\) | 965.262i | 0.985967i | ||||||||
\(980\) | 93.3067 | − | 139.085i | 0.0952109 | − | 0.141924i | ||||
\(981\) | 123.969 | 0.126370 | ||||||||
\(982\) | −258.097 | + | 963.231i | −0.262828 | + | 0.980887i | ||||
\(983\) | 449.851 | + | 1678.87i | 0.457631 | + | 1.70790i | 0.680236 | + | 0.732993i | \(0.261877\pi\) |
−0.222605 | + | 0.974909i | \(0.571456\pi\) | |||||||
\(984\) | 78.0873 | + | 45.0837i | 0.0793570 | + | 0.0458168i | ||||
\(985\) | −445.083 | + | 277.192i | −0.451861 | + | 0.281413i | ||||
\(986\) | 1083.46 | 1.09885 | ||||||||
\(987\) | −6.30093 | − | 78.0589i | −0.00638392 | − | 0.0790870i | ||||
\(988\) | −54.4884 | + | 54.4884i | −0.0551502 | + | 0.0551502i | ||||
\(989\) | −270.065 | + | 155.922i | −0.273068 | + | 0.157656i | ||||
\(990\) | −512.399 | + | 960.206i | −0.517575 | + | 0.969905i | ||||
\(991\) | 644.530 | − | 1116.36i | 0.650384 | − | 1.12650i | −0.332646 | − | 0.943052i | \(-0.607941\pi\) |
0.983030 | − | 0.183446i | \(-0.0587253\pi\) | |||||||
\(992\) | −53.1253 | + | 198.266i | −0.0535537 | + | 0.199865i | ||||
\(993\) | 35.5004 | − | 35.5004i | 0.0357506 | − | 0.0357506i | ||||
\(994\) | −1085.34 | − | 198.905i | −1.09189 | − | 0.200105i | ||||
\(995\) | 1090.32 | − | 1165.72i | 1.09580 | − | 1.17157i | ||||
\(996\) | 3.19865 | + | 5.54023i | 0.00321150 | + | 0.00556248i | ||||
\(997\) | −1680.93 | + | 450.404i | −1.68599 | + | 0.451760i | −0.969350 | − | 0.245684i | \(-0.920987\pi\) |
−0.716640 | + | 0.697444i | \(0.754321\pi\) | |||||||
\(998\) | −124.505 | − | 464.659i | −0.124755 | − | 0.465590i | ||||
\(999\) | 23.4166 | − | 13.5196i | 0.0234400 | − | 0.0135331i |
(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.32.2 | yes | 24 | |
3.2 | odd | 2 | 315.3.ca.a.172.5 | 24 | |||
5.2 | odd | 4 | 175.3.p.c.18.2 | 24 | |||
5.3 | odd | 4 | inner | 35.3.l.a.18.5 | yes | 24 | |
5.4 | even | 2 | 175.3.p.c.32.5 | 24 | |||
7.2 | even | 3 | inner | 35.3.l.a.2.5 | ✓ | 24 | |
7.3 | odd | 6 | 245.3.g.b.197.2 | 12 | |||
7.4 | even | 3 | 245.3.g.c.197.2 | 12 | |||
7.5 | odd | 6 | 245.3.m.b.177.5 | 24 | |||
7.6 | odd | 2 | 245.3.m.b.67.2 | 24 | |||
15.8 | even | 4 | 315.3.ca.a.298.2 | 24 | |||
21.2 | odd | 6 | 315.3.ca.a.37.2 | 24 | |||
35.2 | odd | 12 | 175.3.p.c.93.5 | 24 | |||
35.3 | even | 12 | 245.3.g.b.148.2 | 12 | |||
35.9 | even | 6 | 175.3.p.c.107.2 | 24 | |||
35.13 | even | 4 | 245.3.m.b.18.5 | 24 | |||
35.18 | odd | 12 | 245.3.g.c.148.2 | 12 | |||
35.23 | odd | 12 | inner | 35.3.l.a.23.2 | yes | 24 | |
35.33 | even | 12 | 245.3.m.b.128.2 | 24 | |||
105.23 | even | 12 | 315.3.ca.a.163.5 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
35.3.l.a.2.5 | ✓ | 24 | 7.2 | even | 3 | inner | |
35.3.l.a.18.5 | yes | 24 | 5.3 | odd | 4 | inner | |
35.3.l.a.23.2 | yes | 24 | 35.23 | odd | 12 | inner | |
35.3.l.a.32.2 | yes | 24 | 1.1 | even | 1 | trivial | |
175.3.p.c.18.2 | 24 | 5.2 | odd | 4 | |||
175.3.p.c.32.5 | 24 | 5.4 | even | 2 | |||
175.3.p.c.93.5 | 24 | 35.2 | odd | 12 | |||
175.3.p.c.107.2 | 24 | 35.9 | even | 6 | |||
245.3.g.b.148.2 | 12 | 35.3 | even | 12 | |||
245.3.g.b.197.2 | 12 | 7.3 | odd | 6 | |||
245.3.g.c.148.2 | 12 | 35.18 | odd | 12 | |||
245.3.g.c.197.2 | 12 | 7.4 | even | 3 | |||
245.3.m.b.18.5 | 24 | 35.13 | even | 4 | |||
245.3.m.b.67.2 | 24 | 7.6 | odd | 2 | |||
245.3.m.b.128.2 | 24 | 35.33 | even | 12 | |||
245.3.m.b.177.5 | 24 | 7.5 | odd | 6 | |||
315.3.ca.a.37.2 | 24 | 21.2 | odd | 6 | |||
315.3.ca.a.163.5 | 24 | 105.23 | even | 12 | |||
315.3.ca.a.172.5 | 24 | 3.2 | odd | 2 | |||
315.3.ca.a.298.2 | 24 | 15.8 | even | 4 |