Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [96,3,Mod(5,96)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(96, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 1, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("96.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 96 = 2^{5} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 96.p (of order \(8\), 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: | \(2.61581053786\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 5.13 | ||
Character | \(\chi\) | \(=\) | 96.5 |
Dual form | 96.3.p.a.77.13 |
$q$-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 \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(37\) | \(65\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{8}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.503078 | + | 1.93569i | −0.251539 | + | 0.967847i | ||||
\(3\) | 2.97132 | − | 0.413808i | 0.990441 | − | 0.137936i | ||||
\(4\) | −3.49383 | − | 1.94761i | −0.873456 | − | 0.486902i | ||||
\(5\) | 2.54567 | − | 6.14580i | 0.509135 | − | 1.22916i | −0.435248 | − | 0.900311i | \(-0.643339\pi\) |
0.944382 | − | 0.328849i | \(-0.106661\pi\) | |||||||
\(6\) | −0.693801 | + | 5.95975i | −0.115634 | + | 0.993292i | ||||
\(7\) | 7.32134 | + | 7.32134i | 1.04591 | + | 1.04591i | 0.998894 | + | 0.0470115i | \(0.0149697\pi\) |
0.0470115 | + | 0.998894i | \(0.485030\pi\) | |||||||
\(8\) | 5.52764 | − | 5.78318i | 0.690955 | − | 0.722897i | ||||
\(9\) | 8.65753 | − | 2.45911i | 0.961947 | − | 0.273235i | ||||
\(10\) | 10.6157 | + | 8.01946i | 1.06157 | + | 0.801946i | ||||
\(11\) | −3.73475 | − | 1.54698i | −0.339522 | − | 0.140635i | 0.206406 | − | 0.978466i | \(-0.433823\pi\) |
−0.545929 | + | 0.837832i | \(0.683823\pi\) | |||||||
\(12\) | −11.1872 | − | 4.34121i | −0.932268 | − | 0.361767i | ||||
\(13\) | −20.0259 | + | 8.29499i | −1.54045 | + | 0.638076i | −0.981558 | − | 0.191163i | \(-0.938774\pi\) |
−0.558894 | + | 0.829239i | \(0.688774\pi\) | |||||||
\(14\) | −17.8551 | + | 10.4887i | −1.27536 | + | 0.749191i | ||||
\(15\) | 5.02084 | − | 19.3146i | 0.334723 | − | 1.28764i | ||||
\(16\) | 8.41363 | + | 13.6092i | 0.525852 | + | 0.850576i | ||||
\(17\) | 11.4146 | 0.671447 | 0.335724 | − | 0.941961i | \(-0.391019\pi\) | ||||
0.335724 | + | 0.941961i | \(0.391019\pi\) | |||||||
\(18\) | 0.404685 | + | 17.9955i | 0.0224825 | + | 0.999747i | ||||
\(19\) | −2.41656 | + | 1.00097i | −0.127187 | + | 0.0526828i | −0.445369 | − | 0.895347i | \(-0.646928\pi\) |
0.318182 | + | 0.948030i | \(0.396928\pi\) | |||||||
\(20\) | −20.8638 | + | 16.5144i | −1.04319 | + | 0.825719i | ||||
\(21\) | 24.7837 | + | 18.7244i | 1.18018 | + | 0.891640i | ||||
\(22\) | 4.87336 | − | 6.45108i | 0.221516 | − | 0.293231i | ||||
\(23\) | −10.6804 | − | 10.6804i | −0.464367 | − | 0.464367i | 0.435717 | − | 0.900084i | \(-0.356495\pi\) |
−0.900084 | + | 0.435717i | \(0.856495\pi\) | |||||||
\(24\) | 14.0313 | − | 19.4711i | 0.584637 | − | 0.811295i | ||||
\(25\) | −13.6127 | − | 13.6127i | −0.544509 | − | 0.544509i | ||||
\(26\) | −5.98199 | − | 42.9370i | −0.230077 | − | 1.65142i | ||||
\(27\) | 24.7067 | − | 10.8894i | 0.915063 | − | 0.403310i | ||||
\(28\) | −11.3204 | − | 39.8386i | −0.404299 | − | 1.42281i | ||||
\(29\) | −38.4375 | + | 15.9213i | −1.32543 | + | 0.549012i | −0.929349 | − | 0.369203i | \(-0.879631\pi\) |
−0.396083 | + | 0.918215i | \(0.629631\pi\) | |||||||
\(30\) | 34.8612 | + | 19.4355i | 1.16204 | + | 0.647852i | ||||
\(31\) | 22.9544 | 0.740466 | 0.370233 | − | 0.928939i | \(-0.379278\pi\) | ||||
0.370233 | + | 0.928939i | \(0.379278\pi\) | |||||||
\(32\) | −30.5760 | + | 9.43972i | −0.955500 | + | 0.294991i | ||||
\(33\) | −11.7373 | − | 3.05112i | −0.355676 | − | 0.0924581i | ||||
\(34\) | −5.74243 | + | 22.0952i | −0.168895 | + | 0.649858i | ||||
\(35\) | 63.6332 | − | 26.3578i | 1.81809 | − | 0.753079i | ||||
\(36\) | −35.0373 | − | 8.26977i | −0.973258 | − | 0.229716i | ||||
\(37\) | −47.4669 | − | 19.6614i | −1.28289 | − | 0.531390i | −0.366031 | − | 0.930603i | \(-0.619284\pi\) |
−0.916858 | + | 0.399212i | \(0.869284\pi\) | |||||||
\(38\) | −0.721858 | − | 5.18129i | −0.0189963 | − | 0.136350i | ||||
\(39\) | −56.0708 | + | 32.9340i | −1.43771 | + | 0.844461i | ||||
\(40\) | −21.4707 | − | 48.6939i | −0.536767 | − | 1.21735i | ||||
\(41\) | 7.45051 | + | 7.45051i | 0.181720 | + | 0.181720i | 0.792105 | − | 0.610385i | \(-0.208985\pi\) |
−0.610385 | + | 0.792105i | \(0.708985\pi\) | |||||||
\(42\) | −48.7129 | + | 38.5538i | −1.15983 | + | 0.917948i | ||||
\(43\) | 11.2795 | − | 27.2311i | 0.262314 | − | 0.633281i | −0.736767 | − | 0.676146i | \(-0.763649\pi\) |
0.999081 | + | 0.0428655i | \(0.0136487\pi\) | |||||||
\(44\) | 10.0356 | + | 12.6787i | 0.228083 | + | 0.288153i | ||||
\(45\) | 6.92601 | − | 59.4675i | 0.153911 | − | 1.32150i | ||||
\(46\) | 26.0472 | − | 15.3010i | 0.566243 | − | 0.332630i | ||||
\(47\) | −15.6846 | −0.333715 | −0.166857 | − | 0.985981i | \(-0.553362\pi\) | ||||
−0.166857 | + | 0.985981i | \(0.553362\pi\) | |||||||
\(48\) | 30.6312 | + | 36.9558i | 0.638150 | + | 0.769912i | ||||
\(49\) | 58.2041i | 1.18784i | ||||||||
\(50\) | 33.1983 | − | 19.5018i | 0.663967 | − | 0.390036i | ||||
\(51\) | 33.9165 | − | 4.72345i | 0.665029 | − | 0.0926167i | ||||
\(52\) | 86.1223 | + | 10.0214i | 1.65620 | + | 0.192718i | ||||
\(53\) | −64.5986 | − | 26.7576i | −1.21884 | − | 0.504861i | −0.321801 | − | 0.946807i | \(-0.604288\pi\) |
−0.897041 | + | 0.441947i | \(0.854288\pi\) | |||||||
\(54\) | 8.64911 | + | 53.3028i | 0.160169 | + | 0.987090i | ||||
\(55\) | −19.0149 | + | 19.0149i | −0.345725 | + | 0.345725i | ||||
\(56\) | 82.8104 | − | 1.87086i | 1.47876 | − | 0.0334082i | ||||
\(57\) | −6.76617 | + | 3.97420i | −0.118705 | + | 0.0697229i | ||||
\(58\) | −11.4818 | − | 82.4130i | −0.197962 | − | 1.42091i | ||||
\(59\) | −11.4087 | + | 27.5431i | −0.193368 | + | 0.466832i | −0.990591 | − | 0.136853i | \(-0.956301\pi\) |
0.797223 | + | 0.603685i | \(0.206301\pi\) | |||||||
\(60\) | −55.1592 | + | 57.7031i | −0.919320 | + | 0.961719i | ||||
\(61\) | 32.5638 | + | 78.6160i | 0.533833 | + | 1.28879i | 0.928967 | + | 0.370163i | \(0.120698\pi\) |
−0.395134 | + | 0.918623i | \(0.629302\pi\) | |||||||
\(62\) | −11.5479 | + | 44.4328i | −0.186256 | + | 0.716658i | ||||
\(63\) | 81.3887 | + | 45.3807i | 1.29188 | + | 0.720328i | ||||
\(64\) | −2.89031 | − | 63.9347i | −0.0451611 | − | 0.998980i | ||||
\(65\) | 144.191i | 2.21833i | ||||||||
\(66\) | 11.8108 | − | 21.1849i | 0.178952 | − | 0.320983i | ||||
\(67\) | 22.4548 | + | 54.2106i | 0.335146 | + | 0.809114i | 0.998167 | + | 0.0605135i | \(0.0192738\pi\) |
−0.663021 | + | 0.748600i | \(0.730726\pi\) | |||||||
\(68\) | −39.8806 | − | 22.2312i | −0.586480 | − | 0.326929i | ||||
\(69\) | −36.1547 | − | 27.3154i | −0.523981 | − | 0.395875i | ||||
\(70\) | 19.0081 | + | 136.434i | 0.271544 | + | 1.94906i | ||||
\(71\) | 3.85644 | − | 3.85644i | 0.0543160 | − | 0.0543160i | −0.679427 | − | 0.733743i | \(-0.737772\pi\) |
0.733743 | + | 0.679427i | \(0.237772\pi\) | |||||||
\(72\) | 33.6342 | − | 63.6611i | 0.467142 | − | 0.884182i | ||||
\(73\) | −19.9311 | + | 19.9311i | −0.273029 | + | 0.273029i | −0.830318 | − | 0.557289i | \(-0.811841\pi\) |
0.557289 | + | 0.830318i | \(0.311841\pi\) | |||||||
\(74\) | 61.9381 | − | 81.9902i | 0.837001 | − | 1.10798i | ||||
\(75\) | −46.0809 | − | 34.8148i | −0.614412 | − | 0.464197i | ||||
\(76\) | 10.3925 | + | 1.20930i | 0.136744 | + | 0.0159118i | ||||
\(77\) | −16.0174 | − | 38.6693i | −0.208018 | − | 0.502199i | ||||
\(78\) | −35.5421 | − | 125.104i | −0.455668 | − | 1.60390i | ||||
\(79\) | 42.0491i | 0.532267i | 0.963936 | + | 0.266134i | \(0.0857463\pi\) | ||||
−0.963936 | + | 0.266134i | \(0.914254\pi\) | |||||||
\(80\) | 105.058 | − | 17.0639i | 1.31322 | − | 0.213298i | ||||
\(81\) | 68.9055 | − | 42.5797i | 0.850685 | − | 0.525675i | ||||
\(82\) | −18.1701 | + | 10.6737i | −0.221587 | + | 0.130167i | ||||
\(83\) | −45.4742 | − | 109.785i | −0.547882 | − | 1.32271i | −0.919051 | − | 0.394140i | \(-0.871043\pi\) |
0.371168 | − | 0.928566i | \(-0.378957\pi\) | |||||||
\(84\) | −50.1220 | − | 113.689i | −0.596691 | − | 1.35344i | ||||
\(85\) | 29.0579 | − | 70.1519i | 0.341857 | − | 0.825316i | ||||
\(86\) | 47.0366 | + | 35.5330i | 0.546937 | + | 0.413174i | ||||
\(87\) | −107.622 | + | 63.2132i | −1.23703 | + | 0.726589i | ||||
\(88\) | −29.5908 | + | 13.0475i | −0.336259 | + | 0.148268i | ||||
\(89\) | 14.5465 | − | 14.5465i | 0.163444 | − | 0.163444i | −0.620646 | − | 0.784091i | \(-0.713130\pi\) |
0.784091 | + | 0.620646i | \(0.213130\pi\) | |||||||
\(90\) | 111.627 | + | 43.3234i | 1.24030 | + | 0.481371i | ||||
\(91\) | −207.347 | − | 85.8858i | −2.27854 | − | 0.943800i | ||||
\(92\) | 16.5143 | + | 58.1169i | 0.179503 | + | 0.631706i | ||||
\(93\) | 68.2051 | − | 9.49873i | 0.733388 | − | 0.102137i | ||||
\(94\) | 7.89058 | − | 30.3606i | 0.0839423 | − | 0.322985i | ||||
\(95\) | 17.3998i | 0.183156i | ||||||||
\(96\) | −86.9449 | + | 40.7011i | −0.905677 | + | 0.423969i | ||||
\(97\) | 12.1654 | 0.125416 | 0.0627081 | − | 0.998032i | \(-0.480026\pi\) | ||||
0.0627081 | + | 0.998032i | \(0.480026\pi\) | |||||||
\(98\) | −112.665 | − | 29.2812i | −1.14965 | − | 0.298787i | ||||
\(99\) | −36.1379 | − | 4.20887i | −0.365029 | − | 0.0425139i | ||||
\(100\) | 21.0482 | + | 74.0728i | 0.210482 | + | 0.740728i | ||||
\(101\) | −4.47187 | + | 10.7961i | −0.0442759 | + | 0.106892i | −0.944470 | − | 0.328597i | \(-0.893424\pi\) |
0.900194 | + | 0.435488i | \(0.143424\pi\) | |||||||
\(102\) | −7.91947 | + | 68.0282i | −0.0776418 | + | 0.666943i | ||||
\(103\) | 18.1126 | + | 18.1126i | 0.175850 | + | 0.175850i | 0.789544 | − | 0.613694i | \(-0.210317\pi\) |
−0.613694 | + | 0.789544i | \(0.710317\pi\) | |||||||
\(104\) | −62.7245 | + | 161.665i | −0.603120 | + | 1.55447i | ||||
\(105\) | 178.168 | − | 104.649i | 1.69684 | − | 0.996660i | ||||
\(106\) | 84.2927 | − | 111.582i | 0.795214 | − | 1.05266i | ||||
\(107\) | 169.156 | + | 70.0666i | 1.58089 | + | 0.654828i | 0.988555 | − | 0.150861i | \(-0.0482047\pi\) |
0.592339 | + | 0.805689i | \(0.298205\pi\) | |||||||
\(108\) | −107.529 | − | 10.0734i | −0.995641 | − | 0.0932726i | ||||
\(109\) | 187.603 | − | 77.7076i | 1.72113 | − | 0.712914i | 0.721332 | − | 0.692589i | \(-0.243530\pi\) |
0.999793 | − | 0.0203241i | \(-0.00646982\pi\) | |||||||
\(110\) | −27.2411 | − | 46.3730i | −0.247646 | − | 0.421573i | ||||
\(111\) | −149.176 | − | 38.7783i | −1.34392 | − | 0.349354i | ||||
\(112\) | −38.0387 | + | 161.237i | −0.339631 | + | 1.43961i | ||||
\(113\) | 14.7282 | 0.130338 | 0.0651692 | − | 0.997874i | \(-0.479241\pi\) | ||||
0.0651692 | + | 0.997874i | \(0.479241\pi\) | |||||||
\(114\) | −4.28893 | − | 15.0966i | −0.0376222 | − | 0.132426i | ||||
\(115\) | −92.8287 | + | 38.4509i | −0.807206 | + | 0.334356i | ||||
\(116\) | 165.303 | + | 19.2349i | 1.42502 | + | 0.165818i | ||||
\(117\) | −152.976 | + | 121.060i | −1.30749 | + | 1.03470i | ||||
\(118\) | −47.5755 | − | 35.9401i | −0.403182 | − | 0.304577i | ||||
\(119\) | 83.5702 | + | 83.5702i | 0.702271 | + | 0.702271i | ||||
\(120\) | −83.9463 | − | 135.801i | −0.699552 | − | 1.13167i | ||||
\(121\) | −74.0047 | − | 74.0047i | −0.611609 | − | 0.611609i | ||||
\(122\) | −168.559 | + | 23.4836i | −1.38163 | + | 0.192489i | ||||
\(123\) | 25.2210 | + | 19.0548i | 0.205048 | + | 0.154917i | ||||
\(124\) | −80.1988 | − | 44.7063i | −0.646765 | − | 0.360535i | ||||
\(125\) | 35.3303 | − | 14.6343i | 0.282642 | − | 0.117074i | ||||
\(126\) | −128.788 | + | 134.714i | −1.02213 | + | 1.06916i | ||||
\(127\) | 106.189 | 0.836136 | 0.418068 | − | 0.908416i | \(-0.362707\pi\) | ||||
0.418068 | + | 0.908416i | \(0.362707\pi\) | |||||||
\(128\) | 125.212 | + | 26.5694i | 0.978219 | + | 0.207573i | ||||
\(129\) | 22.2466 | − | 85.5799i | 0.172454 | − | 0.663410i | ||||
\(130\) | −279.110 | − | 72.5395i | −2.14700 | − | 0.557996i | ||||
\(131\) | 76.8602 | − | 31.8365i | 0.586719 | − | 0.243027i | −0.0695194 | − | 0.997581i | \(-0.522147\pi\) |
0.656238 | + | 0.754554i | \(0.272147\pi\) | |||||||
\(132\) | 35.0657 | + | 33.5198i | 0.265649 | + | 0.253938i | ||||
\(133\) | −25.0209 | − | 10.3640i | −0.188127 | − | 0.0779249i | ||||
\(134\) | −116.232 | + | 16.1934i | −0.867401 | + | 0.120846i | ||||
\(135\) | −4.02872 | − | 179.563i | −0.0298424 | − | 1.33010i | ||||
\(136\) | 63.0959 | − | 66.0127i | 0.463940 | − | 0.485387i | ||||
\(137\) | −85.4000 | − | 85.4000i | −0.623358 | − | 0.623358i | 0.323031 | − | 0.946388i | \(-0.395298\pi\) |
−0.946388 | + | 0.323031i | \(0.895298\pi\) | |||||||
\(138\) | 71.0629 | − | 56.2427i | 0.514948 | − | 0.407556i | ||||
\(139\) | 65.5541 | − | 158.262i | 0.471612 | − | 1.13857i | −0.491838 | − | 0.870686i | \(-0.663675\pi\) |
0.963451 | − | 0.267886i | \(-0.0863251\pi\) | |||||||
\(140\) | −273.658 | − | 31.8434i | −1.95470 | − | 0.227453i | ||||
\(141\) | −46.6040 | + | 6.49041i | −0.330525 | + | 0.0460313i | ||||
\(142\) | 5.52480 | + | 9.40498i | 0.0389070 | + | 0.0662322i | ||||
\(143\) | 87.6238 | 0.612754 | ||||||||
\(144\) | 106.308 | + | 97.1321i | 0.738249 | + | 0.674528i | ||||
\(145\) | 276.760i | 1.90869i | ||||||||
\(146\) | −28.5536 | − | 48.6074i | −0.195573 | − | 0.332928i | ||||
\(147\) | 24.0853 | + | 172.943i | 0.163846 | + | 1.17648i | ||||
\(148\) | 127.548 | + | 161.141i | 0.861813 | + | 1.08879i | ||||
\(149\) | 44.4674 | + | 18.4190i | 0.298439 | + | 0.123617i | 0.526878 | − | 0.849941i | \(-0.323362\pi\) |
−0.228439 | + | 0.973558i | \(0.573362\pi\) | |||||||
\(150\) | 90.5730 | − | 71.6840i | 0.603820 | − | 0.477893i | ||||
\(151\) | −53.3283 | + | 53.3283i | −0.353168 | + | 0.353168i | −0.861287 | − | 0.508119i | \(-0.830341\pi\) |
0.508119 | + | 0.861287i | \(0.330341\pi\) | |||||||
\(152\) | −7.56909 | + | 19.5084i | −0.0497966 | + | 0.128345i | ||||
\(153\) | 98.8222 | − | 28.0698i | 0.645897 | − | 0.183463i | ||||
\(154\) | 82.9100 | − | 11.5510i | 0.538377 | − | 0.0750067i | ||||
\(155\) | 58.4345 | − | 141.073i | 0.376997 | − | 0.910151i | ||||
\(156\) | 260.044 | − | 5.86143i | 1.66695 | − | 0.0375733i | ||||
\(157\) | −40.7468 | − | 98.3715i | −0.259534 | − | 0.626570i | 0.739374 | − | 0.673295i | \(-0.235122\pi\) |
−0.998908 | + | 0.0467249i | \(0.985122\pi\) | |||||||
\(158\) | −81.3943 | − | 21.1540i | −0.515154 | − | 0.133886i | ||||
\(159\) | −203.016 | − | 52.7741i | −1.27683 | − | 0.331913i | ||||
\(160\) | −19.8219 | + | 211.944i | −0.123887 | + | 1.32465i | ||||
\(161\) | − | 156.390i | − | 0.971368i | ||||||
\(162\) | 47.7564 | + | 154.801i | 0.294793 | + | 0.955561i | ||||
\(163\) | 79.0194 | + | 190.770i | 0.484782 | + | 1.17037i | 0.957313 | + | 0.289053i | \(0.0933403\pi\) |
−0.472532 | + | 0.881314i | \(0.656660\pi\) | |||||||
\(164\) | −11.5201 | − | 40.5415i | −0.0702445 | − | 0.247204i | ||||
\(165\) | −48.6309 | + | 64.3679i | −0.294733 | + | 0.390109i | ||||
\(166\) | 235.386 | − | 32.7941i | 1.41799 | − | 0.197555i | ||||
\(167\) | −106.476 | + | 106.476i | −0.637582 | + | 0.637582i | −0.949958 | − | 0.312377i | \(-0.898875\pi\) |
0.312377 | + | 0.949958i | \(0.398875\pi\) | |||||||
\(168\) | 245.282 | − | 39.8265i | 1.46001 | − | 0.237063i | ||||
\(169\) | 212.728 | − | 212.728i | 1.25875 | − | 1.25875i | ||||
\(170\) | 121.174 | + | 91.5390i | 0.712789 | + | 0.538465i | ||||
\(171\) | −18.4599 | + | 14.6085i | −0.107953 | + | 0.0854301i | ||||
\(172\) | −92.4441 | + | 73.1726i | −0.537465 | + | 0.425422i | ||||
\(173\) | 33.7245 | + | 81.4182i | 0.194939 | + | 0.470625i | 0.990880 | − | 0.134750i | \(-0.0430231\pi\) |
−0.795940 | + | 0.605375i | \(0.793023\pi\) | |||||||
\(174\) | −68.2192 | − | 240.124i | −0.392065 | − | 1.38002i | ||||
\(175\) | − | 199.327i | − | 1.13901i | ||||||
\(176\) | −10.3696 | − | 63.8427i | −0.0589179 | − | 0.362743i | ||||
\(177\) | −22.5015 | + | 86.5605i | −0.127127 | + | 0.489042i | ||||
\(178\) | 20.8396 | + | 35.4757i | 0.117077 | + | 0.199302i | ||||
\(179\) | 29.2463 | + | 70.6068i | 0.163387 | + | 0.394451i | 0.984276 | − | 0.176636i | \(-0.0565216\pi\) |
−0.820889 | + | 0.571088i | \(0.806522\pi\) | |||||||
\(180\) | −140.018 | + | 194.280i | −0.777877 | + | 1.07933i | ||||
\(181\) | 54.7439 | − | 132.163i | 0.302452 | − | 0.730185i | −0.697456 | − | 0.716628i | \(-0.745685\pi\) |
0.999908 | − | 0.0135568i | \(-0.00431539\pi\) | |||||||
\(182\) | 270.560 | − | 358.153i | 1.48660 | − | 1.96787i | ||||
\(183\) | 129.289 | + | 220.118i | 0.706500 | + | 1.20283i | ||||
\(184\) | −120.805 | + | 2.72922i | −0.656546 | + | 0.0148327i | ||||
\(185\) | −241.671 | + | 241.671i | −1.30633 | + | 1.30633i | ||||
\(186\) | −15.9258 | + | 136.803i | −0.0856227 | + | 0.735499i | ||||
\(187\) | −42.6307 | − | 17.6582i | −0.227971 | − | 0.0944289i | ||||
\(188\) | 54.7993 | + | 30.5475i | 0.291485 | + | 0.162487i | ||||
\(189\) | 260.611 | + | 101.161i | 1.37889 | + | 0.535245i | ||||
\(190\) | −33.6808 | − | 8.75348i | −0.177267 | − | 0.0460709i | ||||
\(191\) | − | 247.456i | − | 1.29558i | −0.761818 | − | 0.647791i | \(-0.775693\pi\) | ||
0.761818 | − | 0.647791i | \(-0.224307\pi\) | |||||||
\(192\) | −35.0447 | − | 188.775i | −0.182525 | − | 0.983201i | ||||
\(193\) | −169.583 | −0.878667 | −0.439333 | − | 0.898324i | \(-0.644785\pi\) | ||||
−0.439333 | + | 0.898324i | \(0.644785\pi\) | |||||||
\(194\) | −6.12013 | + | 23.5485i | −0.0315471 | + | 0.121384i | ||||
\(195\) | 59.6675 | + | 428.439i | 0.305987 | + | 2.19712i | ||||
\(196\) | 113.359 | − | 203.355i | 0.578361 | − | 1.03752i | ||||
\(197\) | −20.0751 | + | 48.4655i | −0.101904 | + | 0.246018i | −0.966606 | − | 0.256267i | \(-0.917507\pi\) |
0.864702 | + | 0.502285i | \(0.167507\pi\) | |||||||
\(198\) | 26.3273 | − | 67.8345i | 0.132966 | − | 0.342598i | ||||
\(199\) | 8.20250 | + | 8.20250i | 0.0412186 | + | 0.0412186i | 0.727416 | − | 0.686197i | \(-0.240721\pi\) |
−0.686197 | + | 0.727416i | \(0.740721\pi\) | |||||||
\(200\) | −153.971 | + | 3.47853i | −0.769856 | + | 0.0173926i | ||||
\(201\) | 89.1532 | + | 151.785i | 0.443548 | + | 0.755151i | ||||
\(202\) | −18.6482 | − | 14.0874i | −0.0923176 | − | 0.0697397i | ||||
\(203\) | −397.980 | − | 164.849i | −1.96049 | − | 0.812062i | ||||
\(204\) | −127.698 | − | 49.5531i | −0.625969 | − | 0.242908i | ||||
\(205\) | 64.7559 | − | 26.8228i | 0.315883 | − | 0.130843i | ||||
\(206\) | −44.1725 | + | 25.9484i | −0.214430 | + | 0.125963i | ||||
\(207\) | −118.731 | − | 66.2018i | −0.573578 | − | 0.319815i | ||||
\(208\) | −281.379 | − | 202.746i | −1.35278 | − | 0.974738i | ||||
\(209\) | 10.5737 | 0.0505920 | ||||||||
\(210\) | 112.937 | + | 397.525i | 0.537794 | + | 1.89298i | ||||
\(211\) | 165.361 | − | 68.4947i | 0.783701 | − | 0.324619i | 0.0452928 | − | 0.998974i | \(-0.485578\pi\) |
0.738408 | + | 0.674354i | \(0.235578\pi\) | |||||||
\(212\) | 173.583 | + | 219.299i | 0.818787 | + | 1.03443i | ||||
\(213\) | 9.86290 | − | 13.0546i | 0.0463047 | − | 0.0612890i | ||||
\(214\) | −220.726 | + | 292.185i | −1.03143 | + | 1.36535i | ||||
\(215\) | −138.643 | − | 138.643i | −0.644851 | − | 0.644851i | ||||
\(216\) | 73.5947 | − | 203.076i | 0.340716 | − | 0.940166i | ||||
\(217\) | 168.057 | + | 168.057i | 0.774458 | + | 0.774458i | ||||
\(218\) | 56.0394 | + | 402.234i | 0.257061 | + | 1.84511i | ||||
\(219\) | −50.9741 | + | 67.4694i | −0.232758 | + | 0.308079i | ||||
\(220\) | 103.468 | − | 29.4011i | 0.470311 | − | 0.133641i | ||||
\(221\) | −228.588 | + | 94.6840i | −1.03433 | + | 0.428435i | ||||
\(222\) | 150.110 | − | 269.250i | 0.676171 | − | 1.21284i | ||||
\(223\) | 336.213 | 1.50768 | 0.753841 | − | 0.657057i | \(-0.228199\pi\) | ||||
0.753841 | + | 0.657057i | \(0.228199\pi\) | |||||||
\(224\) | −292.969 | − | 154.746i | −1.30790 | − | 0.690830i | ||||
\(225\) | −151.328 | − | 84.3773i | −0.672568 | − | 0.375010i | ||||
\(226\) | −7.40945 | + | 28.5094i | −0.0327852 | + | 0.126148i | ||||
\(227\) | −179.848 | + | 74.4954i | −0.792281 | + | 0.328174i | −0.741860 | − | 0.670554i | \(-0.766056\pi\) |
−0.0504209 | + | 0.998728i | \(0.516056\pi\) | |||||||
\(228\) | 31.3800 | − | 0.707310i | 0.137632 | − | 0.00310224i | ||||
\(229\) | −261.354 | − | 108.256i | −1.14128 | − | 0.472735i | −0.269682 | − | 0.962949i | \(-0.586919\pi\) |
−0.871602 | + | 0.490214i | \(0.836919\pi\) | |||||||
\(230\) | −27.7292 | − | 199.032i | −0.120562 | − | 0.865356i | ||||
\(231\) | −63.5945 | − | 108.271i | −0.275301 | − | 0.468706i | ||||
\(232\) | −120.393 | + | 310.299i | −0.518935 | + | 1.33749i | ||||
\(233\) | −184.567 | − | 184.567i | −0.792131 | − | 0.792131i | 0.189709 | − | 0.981840i | \(-0.439246\pi\) |
−0.981840 | + | 0.189709i | \(0.939246\pi\) | |||||||
\(234\) | −157.376 | − | 357.018i | −0.672548 | − | 1.52572i | ||||
\(235\) | −39.9279 | + | 96.3944i | −0.169906 | + | 0.410189i | ||||
\(236\) | 93.5033 | − | 74.0110i | 0.396200 | − | 0.313606i | ||||
\(237\) | 17.4003 | + | 124.942i | 0.0734188 | + | 0.527180i | ||||
\(238\) | −203.809 | + | 119.724i | −0.856339 | + | 0.503042i | ||||
\(239\) | 317.804 | 1.32973 | 0.664863 | − | 0.746965i | \(-0.268490\pi\) | ||||
0.664863 | + | 0.746965i | \(0.268490\pi\) | |||||||
\(240\) | 305.100 | − | 94.1761i | 1.27125 | − | 0.392400i | ||||
\(241\) | − | 109.362i | − | 0.453786i | −0.973920 | − | 0.226893i | \(-0.927143\pi\) | ||
0.973920 | − | 0.226893i | \(-0.0728567\pi\) | |||||||
\(242\) | 180.481 | − | 106.020i | 0.745788 | − | 0.438101i | ||||
\(243\) | 187.121 | − | 155.032i | 0.770044 | − | 0.637991i | ||||
\(244\) | 39.3410 | − | 338.092i | 0.161234 | − | 1.38562i | ||||
\(245\) | 357.711 | + | 148.169i | 1.46004 | + | 0.604770i | ||||
\(246\) | −49.5724 | + | 39.2340i | −0.201514 | + | 0.159488i | ||||
\(247\) | 40.0907 | − | 40.0907i | 0.162311 | − | 0.162311i | ||||
\(248\) | 126.884 | − | 132.750i | 0.511629 | − | 0.535281i | ||||
\(249\) | −180.548 | − | 307.388i | −0.725094 | − | 1.23449i | ||||
\(250\) | 10.5536 | + | 75.7509i | 0.0422145 | + | 0.303003i | ||||
\(251\) | −177.635 | + | 428.849i | −0.707709 | + | 1.70856i | −0.00206260 | + | 0.999998i | \(0.500657\pi\) |
−0.705647 | + | 0.708564i | \(0.749343\pi\) | |||||||
\(252\) | −195.974 | − | 317.066i | −0.777675 | − | 1.25820i | ||||
\(253\) | 23.3663 | + | 56.4112i | 0.0923568 | + | 0.222969i | ||||
\(254\) | −53.4215 | + | 205.550i | −0.210321 | + | 0.809252i | ||||
\(255\) | 57.3109 | − | 220.468i | 0.224749 | − | 0.864581i | ||||
\(256\) | −114.422 | + | 229.006i | −0.446959 | + | 0.894554i | ||||
\(257\) | − | 154.737i | − | 0.602089i | −0.953610 | − | 0.301045i | \(-0.902665\pi\) | ||
0.953610 | − | 0.301045i | \(-0.0973353\pi\) | |||||||
\(258\) | 154.465 | + | 86.1159i | 0.598701 | + | 0.333782i | ||||
\(259\) | −203.573 | − | 491.470i | −0.785998 | − | 1.89757i | ||||
\(260\) | 280.829 | − | 503.780i | 1.08011 | − | 1.93761i | ||||
\(261\) | −293.621 | + | 232.362i | −1.12499 | + | 0.890275i | ||||
\(262\) | 22.9591 | + | 164.794i | 0.0876303 | + | 0.628985i | ||||
\(263\) | −7.01514 | + | 7.01514i | −0.0266735 | + | 0.0266735i | −0.720318 | − | 0.693644i | \(-0.756004\pi\) |
0.693644 | + | 0.720318i | \(0.256004\pi\) | |||||||
\(264\) | −82.5248 | + | 51.0134i | −0.312594 | + | 0.193233i | ||||
\(265\) | −328.894 | + | 328.894i | −1.24111 | + | 1.24111i | ||||
\(266\) | 32.6490 | − | 43.2190i | 0.122741 | − | 0.162477i | ||||
\(267\) | 37.2030 | − | 49.2420i | 0.139337 | − | 0.184427i | ||||
\(268\) | 27.1281 | − | 233.136i | 0.101224 | − | 0.869909i | ||||
\(269\) | 49.5351 | + | 119.588i | 0.184145 | + | 0.444566i | 0.988813 | − | 0.149159i | \(-0.0476566\pi\) |
−0.804668 | + | 0.593725i | \(0.797657\pi\) | |||||||
\(270\) | 349.606 | + | 82.5359i | 1.29484 | + | 0.305689i | ||||
\(271\) | 403.079i | 1.48738i | 0.668527 | + | 0.743688i | \(0.266925\pi\) | ||||
−0.668527 | + | 0.743688i | \(0.733075\pi\) | |||||||
\(272\) | 96.0383 | + | 155.344i | 0.353082 | + | 0.571117i | ||||
\(273\) | −651.635 | − | 169.393i | −2.38694 | − | 0.620487i | ||||
\(274\) | 208.271 | − | 122.345i | 0.760114 | − | 0.446516i | ||||
\(275\) | 29.7814 | + | 71.8988i | 0.108296 | + | 0.261450i | ||||
\(276\) | 73.1184 | + | 165.850i | 0.264922 | + | 0.600907i | ||||
\(277\) | −89.8284 | + | 216.865i | −0.324290 | + | 0.782906i | 0.674705 | + | 0.738088i | \(0.264271\pi\) |
−0.998995 | + | 0.0448182i | \(0.985729\pi\) | |||||||
\(278\) | 273.367 | + | 206.511i | 0.983335 | + | 0.742844i | ||||
\(279\) | 198.729 | − | 56.4476i | 0.712289 | − | 0.202321i | ||||
\(280\) | 199.310 | − | 513.699i | 0.711822 | − | 1.83464i | ||||
\(281\) | 103.353 | − | 103.353i | 0.367806 | − | 0.367806i | −0.498871 | − | 0.866676i | \(-0.666252\pi\) |
0.866676 | + | 0.498871i | \(0.166252\pi\) | |||||||
\(282\) | 10.8820 | − | 93.4763i | 0.0385886 | − | 0.331476i | ||||
\(283\) | −89.7193 | − | 37.1630i | −0.317029 | − | 0.131318i | 0.218494 | − | 0.975838i | \(-0.429886\pi\) |
−0.535523 | + | 0.844520i | \(0.679886\pi\) | |||||||
\(284\) | −20.9846 | + | 5.96289i | −0.0738893 | + | 0.0209961i | ||||
\(285\) | 7.20020 | + | 51.7006i | 0.0252638 | + | 0.181406i | ||||
\(286\) | −44.0816 | + | 169.613i | −0.154131 | + | 0.593052i | ||||
\(287\) | 109.095i | 0.380124i | ||||||||
\(288\) | −241.499 | + | 156.915i | −0.838539 | + | 0.544842i | ||||
\(289\) | −158.707 | −0.549159 | ||||||||
\(290\) | −535.722 | − | 139.232i | −1.84732 | − | 0.480109i | ||||
\(291\) | 36.1473 | − | 5.03413i | 0.124217 | − | 0.0172994i | ||||
\(292\) | 108.454 | − | 30.8178i | 0.371417 | − | 0.105540i | ||||
\(293\) | 130.388 | − | 314.784i | 0.445010 | − | 1.07435i | −0.529158 | − | 0.848523i | \(-0.677492\pi\) |
0.974168 | − | 0.225825i | \(-0.0725078\pi\) | |||||||
\(294\) | −346.882 | − | 40.3821i | −1.17987 | − | 0.137354i | ||||
\(295\) | 140.231 | + | 140.231i | 0.475361 | + | 0.475361i | ||||
\(296\) | −376.086 | + | 165.828i | −1.27056 | + | 0.560230i | ||||
\(297\) | −109.119 | + | 2.44822i | −0.367404 | + | 0.00824316i | ||||
\(298\) | −58.0241 | + | 76.8091i | −0.194712 | + | 0.257749i | ||||
\(299\) | 302.479 | + | 125.291i | 1.01164 | + | 0.419034i | ||||
\(300\) | 93.1930 | + | 211.384i | 0.310643 | + | 0.704614i | ||||
\(301\) | 281.949 | − | 116.787i | 0.936707 | − | 0.387997i | ||||
\(302\) | −76.3990 | − | 130.056i | −0.252977 | − | 0.430648i | ||||
\(303\) | −8.81988 | + | 33.9291i | −0.0291085 | + | 0.111977i | ||||
\(304\) | −33.9545 | − | 24.4657i | −0.111692 | − | 0.0804792i | ||||
\(305\) | 566.055 | 1.85592 | ||||||||
\(306\) | 4.61932 | + | 205.411i | 0.0150958 | + | 0.671278i | ||||
\(307\) | −148.225 | + | 61.3966i | −0.482816 | + | 0.199989i | −0.610796 | − | 0.791788i | \(-0.709151\pi\) |
0.127980 | + | 0.991777i | \(0.459151\pi\) | |||||||
\(308\) | −19.3509 | + | 166.300i | −0.0628277 | + | 0.539934i | ||||
\(309\) | 61.3135 | + | 46.3232i | 0.198426 | + | 0.149913i | ||||
\(310\) | 243.678 | + | 184.082i | 0.786058 | + | 0.593814i | ||||
\(311\) | −284.654 | − | 284.654i | −0.915285 | − | 0.915285i | 0.0813964 | − | 0.996682i | \(-0.474062\pi\) |
−0.996682 | + | 0.0813964i | \(0.974062\pi\) | |||||||
\(312\) | −119.477 | + | 506.315i | −0.382938 | + | 1.62280i | ||||
\(313\) | −67.1669 | − | 67.1669i | −0.214591 | − | 0.214591i | 0.591624 | − | 0.806214i | \(-0.298487\pi\) |
−0.806214 | + | 0.591624i | \(0.798487\pi\) | |||||||
\(314\) | 210.916 | − | 29.3848i | 0.671707 | − | 0.0935823i | ||||
\(315\) | 486.090 | − | 384.674i | 1.54314 | − | 1.22119i | ||||
\(316\) | 81.8953 | − | 146.912i | 0.259162 | − | 0.464912i | ||||
\(317\) | 34.0540 | − | 14.1056i | 0.107426 | − | 0.0444973i | −0.328323 | − | 0.944565i | \(-0.606484\pi\) |
0.435749 | + | 0.900068i | \(0.356484\pi\) | |||||||
\(318\) | 204.287 | − | 366.427i | 0.642413 | − | 1.15229i | ||||
\(319\) | 168.184 | 0.527224 | ||||||||
\(320\) | −400.288 | − | 144.994i | −1.25090 | − | 0.453105i | ||||
\(321\) | 531.610 | + | 138.192i | 1.65611 | + | 0.430506i | ||||
\(322\) | 302.724 | + | 78.6765i | 0.940136 | + | 0.244337i | ||||
\(323\) | −27.5841 | + | 11.4257i | −0.0853996 | + | 0.0353737i | ||||
\(324\) | −323.672 | + | 14.5650i | −0.998989 | + | 0.0449536i | ||||
\(325\) | 385.524 | + | 159.689i | 1.18623 | + | 0.491352i | ||||
\(326\) | −409.025 | + | 56.9854i | −1.25468 | + | 0.174802i | ||||
\(327\) | 525.272 | − | 308.526i | 1.60634 | − | 0.943504i | ||||
\(328\) | 84.2714 | − | 1.90387i | 0.256925 | − | 0.00580447i | ||||
\(329\) | −114.832 | − | 114.832i | −0.349034 | − | 0.349034i | ||||
\(330\) | −100.131 | − | 126.517i | −0.303429 | − | 0.383384i | ||||
\(331\) | 28.5036 | − | 68.8139i | 0.0861137 | − | 0.207897i | −0.874956 | − | 0.484202i | \(-0.839110\pi\) |
0.961070 | + | 0.276305i | \(0.0891100\pi\) | |||||||
\(332\) | −54.9384 | + | 472.134i | −0.165477 | + | 1.42209i | ||||
\(333\) | −459.296 | − | 53.4928i | −1.37927 | − | 0.160639i | ||||
\(334\) | −152.539 | − | 259.671i | −0.456705 | − | 0.777458i | ||||
\(335\) | 390.330 | 1.16516 | ||||||||
\(336\) | −46.3041 | + | 494.827i | −0.137810 | + | 1.47270i | ||||
\(337\) | 216.542i | 0.642558i | 0.946985 | + | 0.321279i | \(0.104113\pi\) | ||||
−0.946985 | + | 0.321279i | \(0.895887\pi\) | |||||||
\(338\) | 304.758 | + | 518.795i | 0.901650 | + | 1.53490i | ||||
\(339\) | 43.7624 | − | 6.09466i | 0.129092 | − | 0.0179784i | ||||
\(340\) | −238.152 | + | 188.505i | −0.700446 | + | 0.554426i | ||||
\(341\) | −85.7291 | − | 35.5101i | −0.251405 | − | 0.104135i | ||||
\(342\) | −18.9909 | − | 43.0820i | −0.0555289 | − | 0.125971i | ||||
\(343\) | −67.3861 | + | 67.3861i | −0.196461 | + | 0.196461i | ||||
\(344\) | −95.1332 | − | 215.755i | −0.276550 | − | 0.627195i | ||||
\(345\) | −259.913 | + | 152.663i | −0.753371 | + | 0.442503i | ||||
\(346\) | −174.567 | + | 24.3207i | −0.504528 | + | 0.0702910i | ||||
\(347\) | −242.438 | + | 585.297i | −0.698668 | + | 1.68673i | 0.0278739 | + | 0.999611i | \(0.491126\pi\) |
−0.726542 | + | 0.687122i | \(0.758874\pi\) | |||||||
\(348\) | 499.127 | − | 11.2504i | 1.43427 | − | 0.0323287i | ||||
\(349\) | −174.726 | − | 421.826i | −0.500647 | − | 1.20867i | −0.949132 | − | 0.314879i | \(-0.898036\pi\) |
0.448484 | − | 0.893791i | \(-0.351964\pi\) | |||||||
\(350\) | 385.836 | + | 100.277i | 1.10239 | + | 0.286506i | ||||
\(351\) | −404.446 | + | 423.011i | −1.15227 | + | 1.20516i | ||||
\(352\) | 128.797 | + | 12.0456i | 0.365900 | + | 0.0342204i | ||||
\(353\) | 617.057i | 1.74804i | 0.485893 | + | 0.874018i | \(0.338494\pi\) | ||||
−0.485893 | + | 0.874018i | \(0.661506\pi\) | |||||||
\(354\) | −156.235 | − | 87.1026i | −0.441341 | − | 0.246053i | ||||
\(355\) | −13.8837 | − | 33.5181i | −0.0391089 | − | 0.0944173i | ||||
\(356\) | −79.1541 | + | 22.4921i | −0.222343 | + | 0.0631800i | ||||
\(357\) | 282.896 | + | 213.732i | 0.792426 | + | 0.598689i | ||||
\(358\) | −151.386 | + | 21.0912i | −0.422867 | + | 0.0589139i | ||||
\(359\) | 243.456 | − | 243.456i | 0.678151 | − | 0.678151i | −0.281431 | − | 0.959582i | \(-0.590809\pi\) |
0.959582 | + | 0.281431i | \(0.0908090\pi\) | |||||||
\(360\) | −305.627 | − | 368.770i | −0.848963 | − | 1.02436i | ||||
\(361\) | −250.428 | + | 250.428i | −0.693706 | + | 0.693706i | ||||
\(362\) | 228.288 | + | 172.456i | 0.630629 | + | 0.476398i | ||||
\(363\) | −250.516 | − | 189.268i | −0.690126 | − | 0.521400i | ||||
\(364\) | 557.161 | + | 703.901i | 1.53066 | + | 1.93379i | ||||
\(365\) | 71.7545 | + | 173.231i | 0.196588 | + | 0.474605i | ||||
\(366\) | −491.124 | + | 139.528i | −1.34187 | + | 0.381225i | ||||
\(367\) | − | 600.550i | − | 1.63638i | −0.574951 | − | 0.818188i | \(-0.694979\pi\) | ||
0.574951 | − | 0.818188i | \(-0.305021\pi\) | |||||||
\(368\) | 55.4911 | − | 235.214i | 0.150791 | − | 0.639168i | ||||
\(369\) | 82.8247 | + | 46.1813i | 0.224457 | + | 0.125153i | ||||
\(370\) | −346.221 | − | 589.379i | −0.935733 | − | 1.59292i | ||||
\(371\) | −277.047 | − | 668.850i | −0.746757 | − | 1.80283i | ||||
\(372\) | −256.796 | − | 99.6500i | −0.690313 | − | 0.267876i | ||||
\(373\) | 163.825 | − | 395.509i | 0.439209 | − | 1.06035i | −0.537013 | − | 0.843574i | \(-0.680447\pi\) |
0.976222 | − | 0.216771i | \(-0.0695526\pi\) | |||||||
\(374\) | 55.6274 | − | 73.6365i | 0.148736 | − | 0.196889i | ||||
\(375\) | 98.9220 | − | 58.1032i | 0.263792 | − | 0.154942i | ||||
\(376\) | −86.6989 | + | 90.7069i | −0.230582 | + | 0.241242i | ||||
\(377\) | 637.678 | − | 637.678i | 1.69145 | − | 1.69145i | ||||
\(378\) | −326.925 | + | 453.571i | −0.864881 | + | 1.19992i | ||||
\(379\) | 636.586 | + | 263.682i | 1.67965 | + | 0.695732i | 0.999309 | − | 0.0371673i | \(-0.0118335\pi\) |
0.680337 | + | 0.732899i | \(0.261833\pi\) | |||||||
\(380\) | 33.8881 | − | 60.7920i | 0.0891793 | − | 0.159979i | ||||
\(381\) | 315.523 | − | 43.9420i | 0.828144 | − | 0.115333i | ||||
\(382\) | 479.000 | + | 124.490i | 1.25393 | + | 0.325890i | ||||
\(383\) | 211.992i | 0.553504i | 0.960941 | + | 0.276752i | \(0.0892580\pi\) | ||||
−0.960941 | + | 0.276752i | \(0.910742\pi\) | |||||||
\(384\) | 383.040 | + | 27.1324i | 0.997501 | + | 0.0706574i | ||||
\(385\) | −278.429 | −0.723192 | ||||||||
\(386\) | 85.3133 | − | 328.260i | 0.221019 | − | 0.850415i | ||||
\(387\) | 30.6881 | − | 263.491i | 0.0792973 | − | 0.680856i | ||||
\(388\) | −42.5037 | − | 23.6934i | −0.109546 | − | 0.0610655i | ||||
\(389\) | 175.527 | − | 423.760i | 0.451226 | − | 1.08936i | −0.520630 | − | 0.853782i | \(-0.674303\pi\) |
0.971856 | − | 0.235574i | \(-0.0756971\pi\) | |||||||
\(390\) | −859.345 | − | 100.040i | −2.20345 | − | 0.256513i | ||||
\(391\) | −121.913 | − | 121.913i | −0.311798 | − | 0.311798i | ||||
\(392\) | 336.604 | + | 321.731i | 0.858685 | + | 0.820743i | ||||
\(393\) | 215.202 | − | 126.402i | 0.547588 | − | 0.321634i | ||||
\(394\) | −83.7150 | − | 63.2411i | −0.212475 | − | 0.160510i | ||||
\(395\) | 258.425 | + | 107.043i | 0.654242 | + | 0.270996i | ||||
\(396\) | 118.062 | + | 85.0876i | 0.298137 | + | 0.214868i | ||||
\(397\) | −472.778 | + | 195.831i | −1.19088 | + | 0.493277i | −0.888040 | − | 0.459766i | \(-0.847933\pi\) |
−0.302835 | + | 0.953043i | \(0.597933\pi\) | |||||||
\(398\) | −20.0040 | + | 11.7510i | −0.0502614 | + | 0.0295252i | ||||
\(399\) | −78.6340 | − | 20.4410i | −0.197078 | − | 0.0512305i | ||||
\(400\) | 70.7261 | − | 299.791i | 0.176815 | − | 0.749478i | ||||
\(401\) | −191.335 | −0.477146 | −0.238573 | − | 0.971125i | \(-0.576680\pi\) | ||||
−0.238573 | + | 0.971125i | \(0.576680\pi\) | |||||||
\(402\) | −338.661 | + | 96.2135i | −0.842440 | + | 0.239337i | ||||
\(403\) | −459.683 | + | 190.407i | −1.14065 | + | 0.472474i | ||||
\(404\) | 36.6504 | − | 29.0101i | 0.0907189 | − | 0.0718071i | ||||
\(405\) | −86.2754 | − | 531.873i | −0.213026 | − | 1.31327i | ||||
\(406\) | 519.311 | − | 687.435i | 1.27909 | − | 1.69319i | ||||
\(407\) | 146.861 | + | 146.861i | 0.360838 | + | 0.360838i | ||||
\(408\) | 160.162 | − | 222.255i | 0.392553 | − | 0.544742i | ||||
\(409\) | 184.985 | + | 184.985i | 0.452285 | + | 0.452285i | 0.896112 | − | 0.443827i | \(-0.146380\pi\) |
−0.443827 | + | 0.896112i | \(0.646380\pi\) | |||||||
\(410\) | 19.3434 | + | 138.842i | 0.0471791 | + | 0.338638i | ||||
\(411\) | −289.090 | − | 218.412i | −0.703383 | − | 0.531416i | ||||
\(412\) | −28.0060 | − | 98.5585i | −0.0679757 | − | 0.239220i | ||||
\(413\) | −285.180 | + | 118.125i | −0.690507 | + | 0.286017i | ||||
\(414\) | 187.877 | − | 196.522i | 0.453809 | − | 0.474690i | ||||
\(415\) | −790.476 | −1.90476 | ||||||||
\(416\) | 534.009 | − | 442.666i | 1.28368 | − | 1.06410i | ||||
\(417\) | 129.293 | − | 497.373i | 0.310054 | − | 1.19274i | ||||
\(418\) | −5.31941 | + | 20.4675i | −0.0127259 | + | 0.0489653i | ||||
\(419\) | 93.8787 | − | 38.8858i | 0.224054 | − | 0.0928063i | −0.267833 | − | 0.963465i | \(-0.586307\pi\) |
0.491887 | + | 0.870659i | \(0.336307\pi\) | |||||||
\(420\) | −826.304 | + | 18.6250i | −1.96739 | + | 0.0443452i | ||||
\(421\) | 313.567 | + | 129.884i | 0.744814 | + | 0.308512i | 0.722624 | − | 0.691242i | \(-0.242936\pi\) |
0.0221902 | + | 0.999754i | \(0.492936\pi\) | |||||||
\(422\) | 49.3954 | + | 354.546i | 0.117051 | + | 0.840157i | ||||
\(423\) | −135.790 | + | 38.5702i | −0.321016 | + | 0.0911826i | ||||
\(424\) | −511.822 | + | 225.679i | −1.20713 | + | 0.532261i | ||||
\(425\) | −155.384 | − | 155.384i | −0.365609 | − | 0.365609i | ||||
\(426\) | 20.3078 | + | 25.6590i | 0.0476709 | + | 0.0602324i | ||||
\(427\) | −337.164 | + | 813.985i | −0.789610 | + | 1.90629i | ||||
\(428\) | −454.538 | − | 574.250i | −1.06200 | − | 1.34170i | ||||
\(429\) | 260.359 | − | 36.2594i | 0.606897 | − | 0.0845208i | ||||
\(430\) | 338.118 | − | 198.622i | 0.786322 | − | 0.461912i | ||||
\(431\) | −685.354 | −1.59015 | −0.795074 | − | 0.606512i | \(-0.792568\pi\) | ||||
−0.795074 | + | 0.606512i | \(0.792568\pi\) | |||||||
\(432\) | 356.069 | + | 244.620i | 0.824234 | + | 0.566249i | ||||
\(433\) | − | 606.988i | − | 1.40182i | −0.713250 | − | 0.700910i | \(-0.752778\pi\) | ||
0.713250 | − | 0.700910i | \(-0.247222\pi\) | |||||||
\(434\) | −409.854 | + | 240.762i | −0.944363 | + | 0.554750i | ||||
\(435\) | 114.525 | + | 822.343i | 0.263277 | + | 1.89044i | ||||
\(436\) | −806.795 | − | 93.8801i | −1.85045 | − | 0.215321i | ||||
\(437\) | 36.5008 | + | 15.1191i | 0.0835257 | + | 0.0345975i | ||||
\(438\) | −104.956 | − | 132.613i | −0.239626 | − | 0.302769i | ||||
\(439\) | −141.628 | + | 141.628i | −0.322614 | + | 0.322614i | −0.849769 | − | 0.527155i | \(-0.823259\pi\) |
0.527155 | + | 0.849769i | \(0.323259\pi\) | |||||||
\(440\) | 4.85897 | + | 215.074i | 0.0110431 | + | 0.488805i | ||||
\(441\) | 143.130 | + | 503.903i | 0.324559 | + | 1.14264i | ||||
\(442\) | −68.2821 | − | 490.109i | −0.154484 | − | 1.10884i | ||||
\(443\) | 39.9642 | − | 96.4820i | 0.0902125 | − | 0.217792i | −0.872333 | − | 0.488912i | \(-0.837394\pi\) |
0.962546 | + | 0.271120i | \(0.0873939\pi\) | |||||||
\(444\) | 445.669 | + | 426.021i | 1.00376 | + | 0.959506i | ||||
\(445\) | −52.3694 | − | 126.431i | −0.117684 | − | 0.284114i | ||||
\(446\) | −169.141 | + | 650.805i | −0.379241 | + | 1.45920i | ||||
\(447\) | 139.749 | + | 36.3278i | 0.312637 | + | 0.0812703i | ||||
\(448\) | 446.927 | − | 489.249i | 0.997604 | − | 1.09207i | ||||
\(449\) | 657.118i | 1.46351i | 0.681566 | + | 0.731757i | \(0.261299\pi\) | ||||
−0.681566 | + | 0.731757i | \(0.738701\pi\) | |||||||
\(450\) | 239.458 | − | 250.476i | 0.532130 | − | 0.556614i | ||||
\(451\) | −16.3000 | − | 39.3516i | −0.0361418 | − | 0.0872541i | ||||
\(452\) | −51.4579 | − | 28.6849i | −0.113845 | − | 0.0634621i | ||||
\(453\) | −136.388 | + | 180.523i | −0.301077 | + | 0.398506i | ||||
\(454\) | −53.7229 | − | 385.607i | −0.118332 | − | 0.849356i | ||||
\(455\) | −1055.67 | + | 1055.67i | −2.32016 | + | 2.32016i | ||||
\(456\) | −14.4175 | + | 61.0980i | −0.0316172 | + | 0.133987i | ||||
\(457\) | 290.283 | − | 290.283i | 0.635192 | − | 0.635192i | −0.314174 | − | 0.949365i | \(-0.601727\pi\) |
0.949365 | + | 0.314174i | \(0.101727\pi\) | |||||||
\(458\) | 341.033 | − | 451.440i | 0.744613 | − | 0.985677i | ||||
\(459\) | 282.017 | − | 124.298i | 0.614417 | − | 0.270802i | ||||
\(460\) | 399.215 | + | 46.4534i | 0.867858 | + | 0.100986i | ||||
\(461\) | −98.5879 | − | 238.012i | −0.213857 | − | 0.516296i | 0.780153 | − | 0.625589i | \(-0.215141\pi\) |
−0.994010 | + | 0.109293i | \(0.965141\pi\) | |||||||
\(462\) | 241.573 | − | 68.6307i | 0.522884 | − | 0.148551i | ||||
\(463\) | 600.670i | 1.29734i | 0.761068 | + | 0.648672i | \(0.224675\pi\) | ||||
−0.761068 | + | 0.648672i | \(0.775325\pi\) | |||||||
\(464\) | −540.076 | − | 389.148i | −1.16396 | − | 0.838682i | ||||
\(465\) | 115.251 | − | 443.355i | 0.247851 | − | 0.953453i | ||||
\(466\) | 450.116 | − | 264.413i | 0.965914 | − | 0.567410i | ||||
\(467\) | −131.441 | − | 317.326i | −0.281457 | − | 0.679498i | 0.718413 | − | 0.695617i | \(-0.244869\pi\) |
−0.999870 | + | 0.0161189i | \(0.994869\pi\) | |||||||
\(468\) | 770.250 | − | 125.025i | 1.64583 | − | 0.267147i | ||||
\(469\) | −232.495 | + | 561.294i | −0.495726 | + | 1.19679i | ||||
\(470\) | −166.503 | − | 125.782i | −0.354262 | − | 0.267621i | ||||
\(471\) | −161.779 | − | 275.432i | −0.343480 | − | 0.584782i | ||||
\(472\) | 96.2233 | + | 218.227i | 0.203863 | + | 0.462346i | ||||
\(473\) | −84.2520 | + | 84.2520i | −0.178123 | + | 0.178123i | ||||
\(474\) | −250.602 | − | 29.1737i | −0.528697 | − | 0.0615480i | ||||
\(475\) | 46.5220 | + | 19.2700i | 0.0979410 | + | 0.0405685i | ||||
\(476\) | −129.218 | − | 454.742i | −0.271465 | − | 0.955340i | ||||
\(477\) | −625.064 | − | 72.7994i | −1.31041 | − | 0.152619i | ||||
\(478\) | −159.880 | + | 615.172i | −0.334478 | + | 1.28697i | ||||
\(479\) | 202.346i | 0.422435i | 0.977439 | + | 0.211218i | \(0.0677429\pi\) | ||||
−0.977439 | + | 0.211218i | \(0.932257\pi\) | |||||||
\(480\) | 28.8071 | + | 637.958i | 0.0600148 | + | 1.32908i | ||||
\(481\) | 1113.66 | 2.31530 | ||||||||
\(482\) | 211.692 | + | 55.0178i | 0.439195 | + | 0.114145i | ||||
\(483\) | −64.7155 | − | 464.686i | −0.133987 | − | 0.962083i | ||||
\(484\) | 114.427 | + | 402.692i | 0.236420 | + | 0.832008i | ||||
\(485\) | 30.9691 | − | 74.7660i | 0.0638538 | − | 0.154157i | ||||
\(486\) | 205.958 | + | 440.202i | 0.423781 | + | 0.905765i | ||||
\(487\) | 27.2387 | + | 27.2387i | 0.0559316 | + | 0.0559316i | 0.734519 | − | 0.678588i | \(-0.237408\pi\) |
−0.678588 | + | 0.734519i | \(0.737408\pi\) | |||||||
\(488\) | 634.651 | + | 246.239i | 1.30051 | + | 0.504588i | ||||
\(489\) | 313.734 | + | 534.140i | 0.641583 | + | 1.09231i | ||||
\(490\) | −466.765 | + | 617.878i | −0.952582 | + | 1.26098i | ||||
\(491\) | 129.205 | + | 53.5185i | 0.263147 | + | 0.108999i | 0.510356 | − | 0.859963i | \(-0.329514\pi\) |
−0.247209 | + | 0.968962i | \(0.579514\pi\) | |||||||
\(492\) | −51.0063 | − | 115.695i | −0.103671 | − | 0.235152i | ||||
\(493\) | −438.749 | + | 181.736i | −0.889958 | + | 0.368632i | ||||
\(494\) | 57.4346 | + | 97.7721i | 0.116264 | + | 0.197919i | ||||
\(495\) | −117.862 | + | 211.382i | −0.238105 | + | 0.427034i | ||||
\(496\) | 193.130 | + | 312.392i | 0.389376 | + | 0.629823i | ||||
\(497\) | 56.4686 | 0.113619 | ||||||||
\(498\) | 685.839 | − | 194.847i | 1.37719 | − | 0.391258i | ||||
\(499\) | 199.039 | − | 82.4448i | 0.398876 | − | 0.165220i | −0.174222 | − | 0.984706i | \(-0.555741\pi\) |
0.573099 | + | 0.819486i | \(0.305741\pi\) | |||||||
\(500\) | −151.940 | − | 17.6800i | −0.303880 | − | 0.0353600i | ||||
\(501\) | −272.314 | + | 360.436i | −0.543542 | + | 0.719432i | ||||
\(502\) | −740.756 | − | 559.592i | −1.47561 | − | 1.11472i | ||||
\(503\) | −520.709 | − | 520.709i | −1.03521 | − | 1.03521i | −0.999357 | − | 0.0358487i | \(-0.988587\pi\) |
−0.0358487 | − | 0.999357i | \(-0.511413\pi\) | |||||||
\(504\) | 712.332 | − | 219.837i | 1.41336 | − | 0.436185i | ||||
\(505\) | 54.9664 | + | 54.9664i | 0.108844 | + | 0.108844i | ||||
\(506\) | −120.950 | + | 16.8508i | −0.239031 | + | 0.0333019i | ||||
\(507\) | 544.055 | − | 720.112i | 1.07309 | − | 1.42034i | ||||
\(508\) | −371.007 | − | 206.815i | −0.730328 | − | 0.407117i | ||||
\(509\) | 46.6423 | − | 19.3199i | 0.0916351 | − | 0.0379565i | −0.336395 | − | 0.941721i | \(-0.609208\pi\) |
0.428030 | + | 0.903764i | \(0.359208\pi\) | |||||||
\(510\) | 397.927 | + | 221.849i | 0.780250 | + | 0.434998i | ||||
\(511\) | −291.845 | −0.571125 | ||||||||
\(512\) | −385.722 | − | 336.693i | −0.753364 | − | 0.657604i | ||||
\(513\) | −48.8053 | + | 51.0456i | −0.0951370 | + | 0.0995040i | ||||
\(514\) | 299.523 | + | 77.8447i | 0.582730 | + | 0.151449i | ||||
\(515\) | 157.425 | − | 65.2076i | 0.305680 | − | 0.126617i | ||||
\(516\) | −244.402 | + | 255.674i | −0.473647 | + | 0.495491i | ||||
\(517\) | 58.5780 | + | 24.2638i | 0.113304 | + | 0.0469319i | ||||
\(518\) | 1053.75 | − | 146.808i | 2.03426 | − | 0.283414i | ||||
\(519\) | 133.898 | + | 227.964i | 0.257992 | + | 0.439238i | ||||
\(520\) | 833.885 | + | 797.039i | 1.60362 | + | 1.53277i | ||||
\(521\) | 160.612 | + | 160.612i | 0.308276 | + | 0.308276i | 0.844241 | − | 0.535965i | \(-0.180052\pi\) |
−0.535965 | + | 0.844241i | \(0.680052\pi\) | |||||||
\(522\) | −302.067 | − | 685.257i | −0.578672 | − | 1.31275i | ||||
\(523\) | −12.4139 | + | 29.9698i | −0.0237360 | + | 0.0573037i | −0.935303 | − | 0.353848i | \(-0.884873\pi\) |
0.911567 | + | 0.411151i | \(0.134873\pi\) | |||||||
\(524\) | −330.541 | − | 38.4624i | −0.630804 | − | 0.0734015i | ||||
\(525\) | −82.4830 | − | 592.265i | −0.157111 | − | 1.12812i | ||||
\(526\) | −10.0500 | − | 17.1083i | −0.0191065 | − | 0.0325253i | ||||
\(527\) | 262.016 | 0.497184 | ||||||||
\(528\) | −57.2299 | − | 185.406i | −0.108390 | − | 0.351149i | ||||
\(529\) | − | 300.856i | − | 0.568727i | ||||||
\(530\) | −471.179 | − | 802.098i | −0.889017 | − | 1.51339i | ||||
\(531\) | −31.0397 | + | 266.510i | −0.0584552 | + | 0.501903i | ||||
\(532\) | 67.2337 | + | 84.9410i | 0.126379 | + | 0.159664i | ||||
\(533\) | −211.005 | − | 87.4011i | −0.395882 | − | 0.163980i | ||||
\(534\) | 76.6014 | + | 96.7862i | 0.143448 | + | 0.181248i | ||||
\(535\) | 861.230 | − | 861.230i | 1.60978 | − | 1.60978i | ||||
\(536\) | 437.632 | + | 169.797i | 0.816477 | + | 0.316786i | ||||
\(537\) | 116.118 | + | 197.693i | 0.216234 | + | 0.368144i | ||||
\(538\) | −256.407 | + | 35.7226i | −0.476592 | + | 0.0663989i | ||||
\(539\) | 90.0407 | − | 217.377i | 0.167051 | − | 0.403298i | ||||
\(540\) | −335.644 | + | 635.209i | −0.621562 | + | 1.17631i | ||||
\(541\) | 387.010 | + | 934.325i | 0.715360 | + | 1.72703i | 0.686151 | + | 0.727459i | \(0.259299\pi\) |
0.0292095 | + | 0.999573i | \(0.490701\pi\) | |||||||
\(542\) | −780.237 | − | 202.780i | −1.43955 | − | 0.374133i | ||||
\(543\) | 107.972 | − | 415.354i | 0.198843 | − | 0.764924i | ||||
\(544\) | −349.013 | + | 107.751i | −0.641568 | + | 0.198071i | ||||
\(545\) | − | 1350.79i | − | 2.47851i | ||||||
\(546\) | 655.716 | − | 1176.15i | 1.20094 | − | 2.15412i | ||||
\(547\) | −212.847 | − | 513.858i | −0.389117 | − | 0.939411i | −0.990127 | − | 0.140170i | \(-0.955235\pi\) |
0.601011 | − | 0.799241i | \(-0.294765\pi\) | |||||||
\(548\) | 132.047 | + | 464.699i | 0.240961 | + | 0.847990i | ||||
\(549\) | 475.248 | + | 600.542i | 0.865660 | + | 1.09388i | ||||
\(550\) | −154.156 | + | 21.4771i | −0.280284 | + | 0.0390493i | ||||
\(551\) | 76.9498 | − | 76.9498i | 0.139655 | − | 0.139655i | ||||
\(552\) | −357.820 | + | 58.0993i | −0.648225 | + | 0.105252i | ||||
\(553\) | −307.856 | + | 307.856i | −0.556702 | + | 0.556702i | ||||
\(554\) | −374.593 | − | 282.980i | −0.676162 | − | 0.510795i | ||||
\(555\) | −618.076 | + | 818.087i | −1.11365 | + | 1.47403i | ||||
\(556\) | −537.266 | + | 425.265i | −0.966306 | + | 0.764864i | ||||
\(557\) | 184.916 | + | 446.427i | 0.331986 | + | 0.801485i | 0.998434 | + | 0.0559338i | \(0.0178136\pi\) |
−0.666449 | + | 0.745551i | \(0.732186\pi\) | |||||||
\(558\) | 9.28932 | + | 413.076i | 0.0166475 | + | 0.740279i | ||||
\(559\) | 638.890i | 1.14292i | ||||||||
\(560\) | 894.095 | + | 644.234i | 1.59660 | + | 1.15042i | ||||
\(561\) | −133.977 | − | 34.8273i | −0.238817 | − | 0.0620808i | ||||
\(562\) | 148.066 | + | 252.055i | 0.263462 | + | 0.448497i | ||||
\(563\) | 79.1858 | + | 191.171i | 0.140650 | + | 0.339558i | 0.978470 | − | 0.206387i | \(-0.0661706\pi\) |
−0.837821 | + | 0.545945i | \(0.816171\pi\) | |||||||
\(564\) | 175.467 | + | 68.0901i | 0.311112 | + | 0.120727i | ||||
\(565\) | 37.4933 | − | 90.5168i | 0.0663598 | − | 0.160207i | ||||
\(566\) | 117.072 | − | 154.973i | 0.206841 | − | 0.273804i | ||||
\(567\) | 816.221 | + | 192.740i | 1.43954 | + | 0.339930i | ||||
\(568\) | −0.985455 | − | 43.6195i | −0.00173496 | − | 0.0767949i | ||||
\(569\) | −667.568 | + | 667.568i | −1.17323 | + | 1.17323i | −0.191794 | + | 0.981435i | \(0.561431\pi\) |
−0.981435 | + | 0.191794i | \(0.938569\pi\) | |||||||
\(570\) | −103.699 | − | 12.0720i | −0.181928 | − | 0.0211790i | ||||
\(571\) | −817.916 | − | 338.792i | −1.43243 | − | 0.593331i | −0.474478 | − | 0.880267i | \(-0.657363\pi\) |
−0.957950 | + | 0.286936i | \(0.907363\pi\) | |||||||
\(572\) | −306.142 | − | 170.657i | −0.535214 | − | 0.298351i | ||||
\(573\) | −102.399 | − | 735.273i | −0.178708 | − | 1.28320i | ||||
\(574\) | −211.176 | − | 54.8835i | −0.367902 | − | 0.0956159i | ||||
\(575\) | 290.780i | 0.505704i | ||||||||
\(576\) | −182.246 | − | 546.409i | −0.316399 | − | 0.948626i | ||||
\(577\) | 345.363 | 0.598549 | 0.299274 | − | 0.954167i | \(-0.403255\pi\) | ||||
0.299274 | + | 0.954167i | \(0.403255\pi\) | |||||||
\(578\) | 79.8419 | − | 307.208i | 0.138135 | − | 0.531502i | ||||
\(579\) | −503.885 | + | 70.1747i | −0.870268 | + | 0.121200i | ||||
\(580\) | 539.020 | − | 966.951i | 0.929345 | − | 1.66716i | ||||
\(581\) | 470.838 | − | 1136.70i | 0.810392 | − | 1.95646i | ||||
\(582\) | −8.44035 | + | 72.5026i | −0.0145023 | + | 0.124575i | ||||
\(583\) | 199.866 | + | 199.866i | 0.342823 | + | 0.342823i | ||||
\(584\) | 5.09309 | + | 225.437i | 0.00872105 | + | 0.386023i | ||||
\(585\) | 354.583 | + | 1248.34i | 0.606125 | + | 2.13392i | ||||
\(586\) | 543.730 | + | 410.752i | 0.927868 | + | 0.700942i | ||||
\(587\) | −86.0668 | − | 35.6500i | −0.146621 | − | 0.0607326i | 0.308166 | − | 0.951333i | \(-0.400285\pi\) |
−0.454787 | + | 0.890600i | \(0.650285\pi\) | |||||||
\(588\) | 252.676 | − | 651.142i | 0.429721 | − | 1.10738i | ||||
\(589\) | −55.4708 | + | 22.9768i | −0.0941780 | + | 0.0390098i | ||||
\(590\) | −341.993 | + | 200.898i | −0.579648 | + | 0.340505i | ||||
\(591\) | −39.5941 | + | 152.314i | −0.0669951 | + | 0.257722i | ||||
\(592\) | −131.792 | − | 811.412i | −0.222622 | − | 1.37063i | ||||
\(593\) | −312.255 | −0.526568 | −0.263284 | − | 0.964718i | \(-0.584806\pi\) | ||||
−0.263284 | + | 0.964718i | \(0.584806\pi\) | |||||||
\(594\) | 50.1563 | − | 212.453i | 0.0844383 | − | 0.357664i | ||||
\(595\) | 726.348 | − | 300.863i | 1.22075 | − | 0.505653i | ||||
\(596\) | −119.488 | − | 150.958i | −0.200484 | − | 0.253285i | ||||
\(597\) | 27.7665 | + | 20.9780i | 0.0465101 | + | 0.0351391i | ||||
\(598\) | −394.696 | + | 522.476i | −0.660026 | + | 0.873706i | ||||
\(599\) | 804.787 | + | 804.787i | 1.34355 | + | 1.34355i | 0.892496 | + | 0.451055i | \(0.148952\pi\) |
0.451055 | + | 0.892496i | \(0.351048\pi\) | |||||||
\(600\) | −456.059 | + | 74.0503i | −0.760098 | + | 0.123417i | ||||
\(601\) | −92.1209 | − | 92.1209i | −0.153279 | − | 0.153279i | 0.626302 | − | 0.779581i | \(-0.284568\pi\) |
−0.779581 | + | 0.626302i | \(0.784568\pi\) | |||||||
\(602\) | 84.2218 | + | 604.520i | 0.139903 | + | 1.00419i | ||||
\(603\) | 327.713 | + | 414.111i | 0.543471 | + | 0.686751i | ||||
\(604\) | 290.183 | − | 82.4571i | 0.480435 | − | 0.136518i | ||||
\(605\) | −643.210 | + | 266.426i | −1.06316 | + | 0.440374i | ||||
\(606\) | −61.2392 | − | 34.1416i | −0.101055 | − | 0.0563392i | ||||
\(607\) | −683.903 | −1.12669 | −0.563347 | − | 0.826220i | \(-0.690487\pi\) | ||||
−0.563347 | + | 0.826220i | \(0.690487\pi\) | |||||||
\(608\) | 64.4399 | − | 53.4174i | 0.105987 | − | 0.0878575i | ||||
\(609\) | −1250.74 | − | 325.131i | −2.05376 | − | 0.533877i | ||||
\(610\) | −284.770 | + | 1095.71i | −0.466835 | + | 1.79624i | ||||
\(611\) | 314.098 | − | 130.104i | 0.514072 | − | 0.212936i | ||||
\(612\) | −399.937 | − | 94.3961i | −0.653491 | − | 0.154242i | ||||
\(613\) | −61.4439 | − | 25.4509i | −0.100235 | − | 0.0415186i | 0.332003 | − | 0.943278i | \(-0.392276\pi\) |
−0.432237 | + | 0.901760i | \(0.642276\pi\) | |||||||
\(614\) | −44.2766 | − | 317.805i | −0.0721117 | − | 0.517597i | ||||
\(615\) | 181.311 | − | 106.496i | 0.294815 | − | 0.173164i | ||||
\(616\) | −312.170 | − | 121.119i | −0.506770 | − | 0.196622i | ||||
\(617\) | 429.320 | + | 429.320i | 0.695819 | + | 0.695819i | 0.963506 | − | 0.267687i | \(-0.0862593\pi\) |
−0.267687 | + | 0.963506i | \(0.586259\pi\) | |||||||
\(618\) | −120.513 | + | 95.3800i | −0.195005 | + | 0.154337i | ||||
\(619\) | 310.121 | − | 748.697i | 0.501003 | − | 1.20953i | −0.447936 | − | 0.894066i | \(-0.647841\pi\) |
0.948938 | − | 0.315462i | \(-0.102159\pi\) | |||||||
\(620\) | −478.916 | + | 379.078i | −0.772445 | + | 0.611417i | ||||
\(621\) | −380.182 | − | 147.575i | −0.612209 | − | 0.237641i | ||||
\(622\) | 694.206 | − | 407.800i | 1.11609 | − | 0.655627i | ||||
\(623\) | 213.000 | 0.341895 | ||||||||
\(624\) | −919.965 | − | 485.986i | −1.47430 | − | 0.778824i | ||||
\(625\) | − | 735.670i | − | 1.17707i | ||||||
\(626\) | 163.805 | − | 96.2245i | 0.261669 | − | 0.153713i | ||||
\(627\) | 31.4180 | − | 4.37549i | 0.0501084 | − | 0.00697846i | ||||
\(628\) | −49.2271 | + | 423.052i | −0.0783871 | + | 0.673649i | ||||
\(629\) | −541.816 | − | 224.428i | −0.861393 | − | 0.356801i | ||||
\(630\) | 500.071 | + | 1134.44i | 0.793763 | + | 1.80070i | ||||
\(631\) | 168.809 | − | 168.809i | 0.267525 | − | 0.267525i | −0.560577 | − | 0.828102i | \(-0.689421\pi\) |
0.828102 | + | 0.560577i | \(0.189421\pi\) | |||||||
\(632\) | 243.178 | + | 232.433i | 0.384775 | + | 0.367773i | ||||
\(633\) | 462.997 | − | 271.948i | 0.731433 | − | 0.429617i | ||||
\(634\) | 10.1724 | + | 73.0144i | 0.0160448 | + | 0.115165i | ||||
\(635\) | 270.323 | − | 652.618i | 0.425706 | − | 1.02775i | ||||
\(636\) | 606.519 | + | 579.779i | 0.953646 | + | 0.911603i | ||||
\(637\) | −482.802 | − | 1165.59i | −0.757931 | − | 1.82981i | ||||
\(638\) | −84.6099 | + | 325.554i | −0.132617 | + | 0.510272i | ||||
\(639\) | 23.9038 | − | 42.8706i | 0.0374081 | − | 0.0670902i | ||||
\(640\) | 482.039 | − | 701.891i | 0.753186 | − | 1.09671i | ||||
\(641\) | 1143.92i | 1.78458i | 0.451463 | + | 0.892290i | \(0.350902\pi\) | ||||
−0.451463 | + | 0.892290i | \(0.649098\pi\) | |||||||
\(642\) | −534.940 | + | 959.513i | −0.833239 | + | 1.49457i | ||||
\(643\) | 56.4117 | + | 136.190i | 0.0877321 | + | 0.211804i | 0.961656 | − | 0.274259i | \(-0.0884326\pi\) |
−0.873924 | + | 0.486063i | \(0.838433\pi\) | |||||||
\(644\) | −304.587 | + | 546.400i | −0.472962 | + | 0.848448i | ||||
\(645\) | −469.324 | − | 354.581i | −0.727635 | − | 0.549738i | ||||
\(646\) | −8.23972 | − | 59.1424i | −0.0127550 | − | 0.0915517i | ||||
\(647\) | 77.9719 | − | 77.9719i | 0.120513 | − | 0.120513i | −0.644278 | − | 0.764791i | \(-0.722842\pi\) |
0.764791 | + | 0.644278i | \(0.222842\pi\) | |||||||
\(648\) | 134.639 | − | 633.858i | 0.207776 | − | 0.978176i | ||||
\(649\) | 85.2174 | − | 85.2174i | 0.131306 | − | 0.131306i | ||||
\(650\) | −503.059 | + | 665.921i | −0.773937 | + | 1.02449i | ||||
\(651\) | 568.896 | + | 429.809i | 0.873880 | + | 0.660229i | ||||
\(652\) | 95.4650 | − | 820.415i | 0.146419 | − | 1.25831i | ||||
\(653\) | −279.659 | − | 675.157i | −0.428268 | − | 1.03393i | −0.979836 | − | 0.199801i | \(-0.935970\pi\) |
0.551568 | − | 0.834130i | \(-0.314030\pi\) | |||||||
\(654\) | 332.959 | + | 1171.98i | 0.509111 | + | 1.79202i | ||||
\(655\) | − | 553.413i | − | 0.844905i | ||||||
\(656\) | −38.7098 | + | 164.082i | −0.0590088 | + | 0.250124i | ||||
\(657\) | −123.541 | + | 221.567i | −0.188038 | + | 0.337240i | ||||
\(658\) | 280.050 | − | 164.511i | 0.425608 | − | 0.250016i | ||||
\(659\) | −161.133 | − | 389.010i | −0.244512 | − | 0.590303i | 0.753209 | − | 0.657781i | \(-0.228505\pi\) |
−0.997721 | + | 0.0674778i | \(0.978505\pi\) | |||||||
\(660\) | 295.271 | − | 130.176i | 0.447381 | − | 0.197237i | ||||
\(661\) | 136.906 | − | 330.520i | 0.207119 | − | 0.500030i | −0.785848 | − | 0.618420i | \(-0.787773\pi\) |
0.992967 | + | 0.118390i | \(0.0377733\pi\) | |||||||
\(662\) | 118.863 | + | 89.7931i | 0.179551 | + | 0.135639i | ||||
\(663\) | −640.026 | + | 375.928i | −0.965349 | + | 0.567011i | ||||
\(664\) | −886.269 | − | 343.864i | −1.33474 | − | 0.517868i | ||||
\(665\) | −127.390 | + | 127.390i | −0.191564 | + | 0.191564i | ||||
\(666\) | 334.607 | − | 862.145i | 0.502413 | − | 1.29451i | ||||
\(667\) | 580.577 | + | 240.483i | 0.870430 | + | 0.360544i | ||||
\(668\) | 579.383 | − | 164.635i | 0.867340 | − | 0.246460i | ||||
\(669\) | 998.997 | − | 139.128i | 1.49327 | − | 0.207963i | ||||
\(670\) | −196.366 | + | 755.560i | −0.293084 | + | 1.12770i | ||||
\(671\) | − | 343.986i | − | 0.512647i | ||||||
\(672\) | −934.540 | − | 338.567i | −1.39068 | − | 0.503820i | ||||
\(673\) | −852.871 | −1.26727 | −0.633634 | − | 0.773633i | \(-0.718437\pi\) | ||||
−0.633634 | + | 0.773633i | \(0.718437\pi\) | |||||||
\(674\) | −419.159 | − | 108.937i | −0.621898 | − | 0.161628i | ||||
\(675\) | −484.560 | − | 188.092i | −0.717867 | − | 0.278654i | ||||
\(676\) | −1157.55 | + | 328.923i | −1.71235 | + | 0.486573i | ||||
\(677\) | −232.350 | + | 560.944i | −0.343206 | + | 0.828573i | 0.654182 | + | 0.756337i | \(0.273013\pi\) |
−0.997388 | + | 0.0722351i | \(0.976987\pi\) | |||||||
\(678\) | −10.2185 | + | 87.7766i | −0.0150715 | + | 0.129464i | ||||
\(679\) | 89.0669 | + | 89.0669i | 0.131174 | + | 0.131174i | ||||
\(680\) | −245.079 | − | 555.821i | −0.360411 | − | 0.817384i | ||||
\(681\) | −503.559 | + | 295.772i | −0.739441 | + | 0.434321i | ||||
\(682\) | 111.865 | − | 148.081i | 0.164025 | − | 0.217127i | ||||
\(683\) | 263.384 | + | 109.097i | 0.385629 | + | 0.159733i | 0.567071 | − | 0.823669i | \(-0.308077\pi\) |
−0.181442 | + | 0.983402i | \(0.558077\pi\) | |||||||
\(684\) | 92.9475 | − | 15.0870i | 0.135888 | − | 0.0220569i | ||||
\(685\) | −742.252 | + | 307.451i | −1.08358 | + | 0.448833i | ||||
\(686\) | −96.5384 | − | 164.339i | −0.140727 | − | 0.239562i | ||||
\(687\) | −821.365 | − | 213.514i | −1.19558 | − | 0.310792i | ||||
\(688\) | 465.495 | − | 75.6073i | 0.676592 | − | 0.109894i | ||||
\(689\) | 1515.60 | 2.19971 | ||||||||
\(690\) | −164.753 | − | 579.914i | −0.238773 | − | 0.840454i | ||||
\(691\) | 543.248 | − | 225.021i | 0.786177 | − | 0.325645i | 0.0467716 | − | 0.998906i | \(-0.485107\pi\) |
0.739405 | + | 0.673260i | \(0.235107\pi\) | |||||||
\(692\) | 40.7433 | − | 350.143i | 0.0588776 | − | 0.505987i | ||||
\(693\) | −233.763 | − | 295.392i | −0.337321 | − | 0.426252i | ||||
\(694\) | −1010.99 | − | 763.735i | −1.45676 | − | 1.10048i | ||||
\(695\) | −805.765 | − | 805.765i | −1.15937 | − | 1.15937i | ||||
\(696\) | −229.322 | + | 971.817i | −0.329486 | + | 1.39629i | ||||
\(697\) | 85.0447 | + | 85.0447i | 0.122015 | + | 0.122015i | ||||
\(698\) | 904.426 | − | 126.005i | 1.29574 | − | 0.180523i | ||||
\(699\) | −624.782 | − | 472.032i | −0.893823 | − | 0.675296i | ||||
\(700\) | −388.211 | + | 696.413i | −0.554587 | + | 0.994876i | ||||
\(701\) | 745.399 | − | 308.754i | 1.06334 | − | 0.440448i | 0.218702 | − | 0.975792i | \(-0.429818\pi\) |
0.844634 | + | 0.535344i | \(0.179818\pi\) | |||||||
\(702\) | −615.353 | − | 995.692i | −0.876571 | − | 1.41836i | ||||
\(703\) | 134.387 | 0.191163 | ||||||||
\(704\) | −88.1113 | + | 243.251i | −0.125158 | + | 0.345527i | ||||
\(705\) | −78.7499 | + | 302.942i | −0.111702 | + | 0.429704i | ||||
\(706\) | −1194.43 | − | 310.428i | −1.69183 | − | 0.439699i | ||||
\(707\) | −111.782 | + | 46.3015i | −0.158107 | + | 0.0654901i | ||||
\(708\) | 247.202 | − | 258.603i | 0.349156 | − | 0.365259i | ||||
\(709\) | 792.806 | + | 328.391i | 1.11820 | + | 0.463175i | 0.863755 | − | 0.503911i | \(-0.168106\pi\) |
0.254448 | + | 0.967086i | \(0.418106\pi\) | |||||||
\(710\) | 71.8654 | − | 10.0123i | 0.101219 | − | 0.0141018i | ||||
\(711\) | 103.404 | + | 364.041i | 0.145434 | + | 0.512013i | ||||
\(712\) | −3.71715 | − | 164.533i | −0.00522072 | − | 0.231086i | ||||
\(713\) | −245.164 | − | 245.164i | −0.343848 | − | 0.343848i | ||||
\(714\) | −556.039 | + | 440.077i | −0.778766 | + | 0.616354i | ||||
\(715\) | 223.062 | − | 538.518i | 0.311974 | − | 0.753173i | ||||
\(716\) | 35.3331 | − | 303.648i | 0.0493479 | − | 0.424090i | ||||
\(717\) | 944.300 | − | 131.510i | 1.31702 | − | 0.183417i | ||||
\(718\) | 348.779 | + | 593.734i | 0.485765 | + | 0.826928i | ||||
\(719\) | 205.788 | 0.286214 | 0.143107 | − | 0.989707i | \(-0.454291\pi\) | ||||
0.143107 | + | 0.989707i | \(0.454291\pi\) | |||||||
\(720\) | 867.579 | − | 406.080i | 1.20497 | − | 0.564000i | ||||
\(721\) | 265.217i | 0.367846i | ||||||||
\(722\) | −358.767 | − | 610.736i | −0.496907 | − | 0.845895i | ||||
\(723\) | −45.2550 | − | 324.951i | −0.0625934 | − | 0.449448i | ||||
\(724\) | −448.668 | + | 355.136i | −0.619708 | + | 0.490520i | ||||
\(725\) | 739.973 | + | 306.507i | 1.02065 | + | 0.422768i | ||||
\(726\) | 492.394 | − | 389.705i | 0.678229 | − | 0.536784i | ||||
\(727\) | 46.0919 | − | 46.0919i | 0.0634001 | − | 0.0634001i | −0.674696 | − | 0.738096i | \(-0.735725\pi\) |
0.738096 | + | 0.674696i | \(0.235725\pi\) | |||||||
\(728\) | −1642.83 | + | 724.377i | −2.25664 | + | 0.995023i | ||||
\(729\) | 491.843 | − | 538.081i | 0.674682 | − | 0.738109i | ||||
\(730\) | −371.420 | + | 51.7462i | −0.508794 | + | 0.0708853i | ||||
\(731\) | 128.751 | − | 310.832i | 0.176130 | − | 0.425215i | ||||
\(732\) | −23.0103 | − | 1020.86i | −0.0314349 | − | 1.39462i | ||||
\(733\) | 143.085 | + | 345.437i | 0.195204 | + | 0.471265i | 0.990928 | − | 0.134395i | \(-0.0429092\pi\) |
−0.795724 | + | 0.605660i | \(0.792909\pi\) | |||||||
\(734\) | 1162.48 | + | 302.123i | 1.58376 | + | 0.411612i | ||||
\(735\) | 1124.19 | + | 292.233i | 1.52951 | + | 0.397596i | ||||
\(736\) | 427.385 | + | 225.745i | 0.580687 | + | 0.306718i | ||||
\(737\) | − | 237.200i | − | 0.321846i | ||||||
\(738\) | −131.060 | + | 137.090i | −0.177588 | + | 0.185759i | ||||
\(739\) | 445.308 | + | 1075.07i | 0.602581 | + | 1.45476i | 0.870915 | + | 0.491434i | \(0.163527\pi\) |
−0.268334 | + | 0.963326i | \(0.586473\pi\) | |||||||
\(740\) | 1315.03 | − | 373.675i | 1.77707 | − | 0.504966i | ||||
\(741\) | 102.533 | − | 135.712i | 0.138371 | − | 0.183148i | ||||
\(742\) | 1434.07 | − | 199.794i | 1.93270 | − | 0.269265i | ||||
\(743\) | 544.746 | − | 544.746i | 0.733171 | − | 0.733171i | −0.238076 | − | 0.971247i | \(-0.576517\pi\) |
0.971247 | + | 0.238076i | \(0.0765167\pi\) | |||||||
\(744\) | 322.081 | − | 446.948i | 0.432904 | − | 0.600736i | ||||
\(745\) | 226.399 | − | 226.399i | 0.303891 | − | 0.303891i | ||||
\(746\) | 683.167 | + | 516.087i | 0.915774 | + | 0.691806i | ||||
\(747\) | −663.667 | − | 838.636i | −0.888443 | − | 1.12267i | ||||
\(748\) | 114.553 | + | 144.723i | 0.153145 | + | 0.193479i | ||||
\(749\) | 725.465 | + | 1751.43i | 0.968578 | + | 2.33835i | ||||
\(750\) | 62.7045 | + | 220.713i | 0.0836061 | + | 0.294284i | ||||
\(751\) | − | 9.99609i | − | 0.0133104i | −0.999978 | − | 0.00665519i | \(-0.997882\pi\) | ||
0.999978 | − | 0.00665519i | \(-0.00211843\pi\) | |||||||
\(752\) | −131.964 | − | 213.455i | −0.175485 | − | 0.283850i | ||||
\(753\) | −350.350 | + | 1347.76i | −0.465272 | + | 1.78985i | ||||
\(754\) | 913.548 | + | 1555.15i | 1.21160 | + | 2.06253i | ||||
\(755\) | 191.989 | + | 463.502i | 0.254290 | + | 0.613910i | ||||
\(756\) | −713.507 | − | 861.009i | −0.943792 | − | 1.13890i | ||||
\(757\) | −200.459 | + | 483.951i | −0.264807 | + | 0.639302i | −0.999224 | − | 0.0393977i | \(-0.987456\pi\) |
0.734416 | + | 0.678699i | \(0.237456\pi\) | |||||||
\(758\) | −830.661 | + | 1099.58i | −1.09586 | + | 1.45064i | ||||
\(759\) | 92.7722 | + | 157.947i | 0.122229 | + | 0.208098i | ||||
\(760\) | 100.626 | + | 96.1802i | 0.132403 | + | 0.126553i | ||||
\(761\) | 133.213 | − | 133.213i | 0.175049 | − | 0.175049i | −0.614144 | − | 0.789194i | \(-0.710499\pi\) |
0.789194 | + | 0.614144i | \(0.210499\pi\) | |||||||
\(762\) | −73.6743 | + | 632.862i | −0.0966854 | + | 0.830527i | ||||
\(763\) | 1942.43 | + | 804.580i | 2.54578 | + | 1.05449i | ||||
\(764\) | −481.948 | + | 864.569i | −0.630823 | + | 1.13164i | ||||
\(765\) | 79.0576 | − | 678.798i | 0.103343 | − | 0.887318i | ||||
\(766\) | −410.351 | − | 106.648i | −0.535707 | − | 0.139228i | ||||
\(767\) | − | 646.210i | − | 0.842516i | ||||||
\(768\) | −245.219 | + | 727.799i | −0.319296 | + | 0.947655i | ||||
\(769\) | 488.279 | 0.634953 | 0.317476 | − | 0.948266i | \(-0.397165\pi\) | ||||
0.317476 | + | 0.948266i | \(0.397165\pi\) | |||||||
\(770\) | 140.071 | − | 538.954i | 0.181911 | − | 0.699940i | ||||
\(771\) | −64.0314 | − | 459.773i | −0.0830498 | − | 0.596334i | ||||
\(772\) | 592.492 | + | 330.281i | 0.767477 | + | 0.427825i | ||||
\(773\) | −548.805 | + | 1324.93i | −0.709967 | + | 1.71401i | −0.00988404 | + | 0.999951i | \(0.503146\pi\) |
−0.700083 | + | 0.714061i | \(0.746854\pi\) | |||||||
\(774\) | 494.600 | + | 191.959i | 0.639018 | + | 0.248009i | ||||
\(775\) | −312.473 | − | 312.473i | −0.403191 | − | 0.403191i | ||||
\(776\) | 67.2459 | − | 70.3546i | 0.0866571 | − | 0.0906631i | ||||
\(777\) | −808.256 | − | 1376.07i | −1.04023 | − | 1.77101i | ||||
\(778\) | 731.965 | + | 552.951i | 0.940830 | + | 0.710734i | ||||
\(779\) | −25.4624 | − | 10.5469i | −0.0326860 | − | 0.0135390i | ||||
\(780\) | 625.965 | − | 1613.10i | 0.802519 | − | 2.06808i | ||||
\(781\) | −20.3687 | + | 8.43698i | −0.0260802 | + | 0.0108028i | ||||
\(782\) | 297.318 | − | 174.655i | 0.380202 | − | 0.223343i | ||||
\(783\) | −776.291 | + | 811.925i | −0.991432 | + | 1.03694i | ||||
\(784\) | −792.112 | + | 489.707i | −1.01035 | + | 0.624627i | ||||
\(785\) | −708.300 | −0.902292 | ||||||||
\(786\) | 136.412 | + | 480.156i | 0.173552 | + | 0.610885i | ||||
\(787\) | −1191.23 | + | 493.423i | −1.51363 | + | 0.626967i | −0.976304 | − | 0.216405i | \(-0.930567\pi\) |
−0.537329 | + | 0.843372i | \(0.680567\pi\) | |||||||
\(788\) | 164.531 | − | 130.232i | 0.208795 | − | 0.165268i | ||||
\(789\) | −17.9413 | + | 23.7472i | −0.0227393 | + | 0.0300978i | ||||
\(790\) | −337.211 | + | 446.382i | −0.426850 | + | 0.565040i | ||||
\(791\) | 107.830 | + | 107.830i | 0.136322 | + | 0.136322i | ||||
\(792\) | −224.098 | + | 185.727i | −0.282952 | + | 0.234503i | ||||
\(793\) | −1304.24 | − | 1304.24i | −1.64469 | − | 1.64469i | ||||
\(794\) | −141.225 | − | 1013.67i | −0.177865 | − | 1.27666i | ||||
\(795\) | −841.152 | + | 1113.35i | −1.05805 | + | 1.40044i | ||||
\(796\) | −12.6828 | − | 44.6334i | −0.0159332 | − | 0.0560721i | ||||
\(797\) | −1162.53 | + | 481.538i | −1.45864 | + | 0.604188i | −0.964236 | − | 0.265045i | \(-0.914613\pi\) |
−0.494403 | + | 0.869233i | \(0.664613\pi\) | |||||||
\(798\) | 79.1265 | − | 141.928i | 0.0991560 | − | 0.177855i | ||||
\(799\) | −179.034 | −0.224072 | ||||||||
\(800\) | 544.723 | + | 287.722i | 0.680904 | + | 0.359653i | ||||
\(801\) | 90.1655 | − | 161.709i | 0.112566 | − | 0.201884i | ||||
\(802\) | 96.2566 | − | 370.367i | 0.120021 | − | 0.461804i | ||||
\(803\) | 105.271 | − | 43.6046i | 0.131097 | − | 0.0543021i | ||||
\(804\) | −15.8671 | − | 703.947i | −0.0197351 | − | 0.875556i | ||||
\(805\) | −961.143 | − | 398.119i | −1.19397 | − | 0.494557i | ||||
\(806\) | −137.313 | − | 985.595i | −0.170364 | − | 1.22282i | ||||
\(807\) | 196.671 | + | 334.838i | 0.243707 | + | 0.414917i | ||||
\(808\) | 37.7166 | + | 85.5384i | 0.0466789 | + | 0.105864i | ||||
\(809\) | −737.912 | − | 737.912i | −0.912128 | − | 0.912128i | 0.0843111 | − | 0.996439i | \(-0.473131\pi\) |
−0.996439 | + | 0.0843111i | \(0.973131\pi\) | |||||||
\(810\) | 1072.95 | + | 100.571i | 1.32463 | + | 0.124162i | ||||
\(811\) | −59.7731 | + | 144.305i | −0.0737030 | + | 0.177935i | −0.956437 | − | 0.291938i | \(-0.905700\pi\) |
0.882734 | + | 0.469872i | \(0.155700\pi\) | |||||||
\(812\) | 1069.41 | + | 1351.06i | 1.31701 | + | 1.66387i | ||||
\(813\) | 166.797 | + | 1197.68i | 0.205163 | + | 1.47316i | ||||
\(814\) | −358.161 | + | 210.396i | −0.440001 | + | 0.258471i | ||||
\(815\) | 1373.59 | 1.68539 | ||||||||
\(816\) | 349.643 | + | 421.835i | 0.428484 | + | 0.516955i | ||||
\(817\) | 77.0960i | 0.0943647i | ||||||||
\(818\) | −451.136 | + | 265.012i | −0.551511 | + | 0.323976i | ||||
\(819\) | −2006.31 | − | 233.669i | −2.44971 | − | 0.285311i | ||||
\(820\) | −278.486 | − | 32.4052i | −0.339617 | − | 0.0395185i | ||||
\(821\) | −350.123 | − | 145.026i | −0.426459 | − | 0.176645i | 0.159122 | − | 0.987259i | \(-0.449134\pi\) |
−0.585581 | + | 0.810614i | \(0.699134\pi\) | |||||||
\(822\) | 568.213 | − | 449.712i | 0.691257 | − | 0.547095i | ||||
\(823\) | 75.3694 | − | 75.3694i | 0.0915789 | − | 0.0915789i | −0.659833 | − | 0.751412i | \(-0.729373\pi\) |
0.751412 | + | 0.659833i | \(0.229373\pi\) | |||||||
\(824\) | 204.868 | − | 4.62840i | 0.248627 | − | 0.00561699i | ||||
\(825\) | 118.243 | + | 201.311i | 0.143324 | + | 0.244013i | ||||
\(826\) | −85.1868 | − | 611.447i | −0.103132 | − | 0.740250i | ||||
\(827\) | −586.623 | + | 1416.23i | −0.709338 | + | 1.71249i | −0.00769049 | + | 0.999970i | \(0.502448\pi\) |
−0.701648 | + | 0.712524i | \(0.747552\pi\) | |||||||
\(828\) | 285.889 | + | 462.538i | 0.345276 | + | 0.558621i | ||||
\(829\) | 381.783 | + | 921.706i | 0.460534 | + | 1.11183i | 0.968178 | + | 0.250261i | \(0.0805166\pi\) |
−0.507644 | + | 0.861567i | \(0.669483\pi\) | |||||||
\(830\) | 397.671 | − | 1530.12i | 0.479122 | − | 1.84352i | ||||
\(831\) | −177.169 | + | 681.547i | −0.213199 | + | 0.820153i | ||||
\(832\) | 588.219 | + | 1256.37i | 0.706994 | + | 1.51006i | ||||
\(833\) | 664.376i | 0.797571i | ||||||||
\(834\) | 897.718 | + | 500.488i | 1.07640 | + | 0.600106i | ||||
\(835\) | 383.327 | + | 925.434i | 0.459075 | + | 1.10830i | ||||
\(836\) | −36.9428 | − | 20.5935i | −0.0441899 | − | 0.0246334i | ||||
\(837\) | 567.129 | − | 249.960i | 0.677573 | − | 0.298638i | ||||
\(838\) | 28.0428 | + | 201.283i | 0.0334639 | + | 0.240195i | ||||
\(839\) | 455.169 | − | 455.169i | 0.542514 | − | 0.542514i | −0.381751 | − | 0.924265i | \(-0.624679\pi\) |
0.924265 | + | 0.381751i | \(0.124679\pi\) | |||||||
\(840\) | 379.643 | − | 1608.84i | 0.451956 | − | 1.91529i | ||||
\(841\) | 629.277 | − | 629.277i | 0.748249 | − | 0.748249i | ||||
\(842\) | −409.163 | + | 541.628i | −0.485942 | + | 0.643263i | ||||
\(843\) | 264.328 | − | 349.865i | 0.313556 | − | 0.415024i | ||||
\(844\) | −711.143 | − | 82.7499i | −0.842586 | − | 0.0980449i | ||||
\(845\) | −765.848 | − | 1848.92i | −0.906329 | − | 2.18807i | ||||
\(846\) | −6.34732 | − | 282.252i | −0.00750274 | − | 0.333631i | ||||
\(847\) | − | 1083.63i | − | 1.27937i | ||||||
\(848\) | −179.359 | − | 1104.27i | −0.211508 | − | 1.30220i | ||||
\(849\) | −281.963 | − | 73.2966i | −0.332112 | − | 0.0863329i | ||||
\(850\) | 378.946 | − | 222.606i | 0.445819 | − | 0.261889i | ||||
\(851\) | 296.975 | + | 716.960i | 0.348971 | + | 0.842492i | ||||
\(852\) | −59.8844 | + | 26.4012i | −0.0702869 | + | 0.0309874i | ||||
\(853\) | −178.427 | + | 430.761i | −0.209176 | + | 0.504995i | −0.993294 | − | 0.115617i | \(-0.963116\pi\) |
0.784118 | + | 0.620612i | \(0.213116\pi\) | |||||||
\(854\) | −1406.01 | − | 1062.14i | −1.64638 | − | 1.24373i | ||||
\(855\) | 42.7882 | + | 150.640i | 0.0500447 | + | 0.176187i | ||||
\(856\) | 1340.24 | − | 590.954i | 1.56570 | − | 0.690367i | ||||
\(857\) | −320.953 | + | 320.953i | −0.374508 | + | 0.374508i | −0.869116 | − | 0.494608i | \(-0.835312\pi\) |
0.494608 | + | 0.869116i | \(0.335312\pi\) | |||||||
\(858\) | −60.7935 | + | 522.216i | −0.0708549 | + | 0.608644i | ||||
\(859\) | −850.003 | − | 352.083i | −0.989527 | − | 0.409875i | −0.171580 | − | 0.985170i | \(-0.554887\pi\) |
−0.817946 | + | 0.575295i | \(0.804887\pi\) | |||||||
\(860\) | 214.372 | + | 754.416i | 0.249269 | + | 0.877228i | ||||
\(861\) | 45.1446 | + | 324.158i | 0.0524327 | + | 0.376490i | ||||
\(862\) | 344.786 | − | 1326.64i | 0.399984 | − | 1.53902i | ||||
\(863\) | 541.956i | 0.627991i | 0.949424 | + | 0.313996i | \(0.101668\pi\) | ||||
−0.949424 | + | 0.313996i | \(0.898332\pi\) | |||||||
\(864\) | −652.640 | + | 566.178i | −0.755370 | + | 0.655299i | ||||
\(865\) | 586.232 | 0.677724 | ||||||||
\(866\) | 1174.94 | + | 305.362i | 1.35675 | + | 0.352612i | ||||
\(867\) | −471.569 | + | 65.6741i | −0.543909 | + | 0.0757487i | ||||
\(868\) | −259.853 | − | 914.473i | −0.299370 | − | 1.05354i | ||||
\(869\) | 65.0493 | − | 157.043i | 0.0748553 | − | 0.180717i | ||||
\(870\) | −1649.42 | − | 192.016i | −1.89589 | − | 0.220708i | ||||
\(871\) | −899.353 | − | 899.353i | −1.03255 | − | 1.03255i | ||||
\(872\) | 587.604 | − | 1514.48i | 0.673858 | − | 1.73679i | ||||
\(873\) | 105.322 | − | 29.9161i | 0.120644 | − | 0.0342681i | ||||
\(874\) | −47.6287 | + | 63.0482i | −0.0544951 | + | 0.0721375i | ||||
\(875\) | 365.808 | + | 151.523i | 0.418066 | + | 0.173169i | ||||
\(876\) | 309.499 | − | 136.449i | 0.353309 | − | 0.155763i | ||||
\(877\) | 121.619 | − | 50.3764i | 0.138677 | − | 0.0574417i | −0.312266 | − | 0.949995i | \(-0.601088\pi\) |
0.450942 | + | 0.892553i | \(0.351088\pi\) | |||||||
\(878\) | −202.898 | − | 345.398i | −0.231091 | − | 0.393391i | ||||
\(879\) | 257.164 | − | 989.281i | 0.292565 | − | 1.12546i | ||||
\(880\) | −418.762 | − | 98.7935i | −0.475866 | − | 0.112265i | ||||
\(881\) | −954.967 | −1.08396 | −0.541979 | − | 0.840392i | \(-0.682325\pi\) | ||||
−0.541979 | + | 0.840392i | \(0.682325\pi\) | |||||||
\(882\) | −1047.41 | + | 23.5543i | −1.18754 | + | 0.0267056i | ||||
\(883\) | 1068.50 | − | 442.586i | 1.21008 | − | 0.501230i | 0.315835 | − | 0.948814i | \(-0.397715\pi\) |
0.894242 | + | 0.447584i | \(0.147715\pi\) | |||||||
\(884\) | 983.052 | + | 114.390i | 1.11205 | + | 0.129400i | ||||
\(885\) | 474.702 | + | 358.644i | 0.536386 | + | 0.405248i | ||||
\(886\) | 166.655 | + | 125.896i | 0.188098 | + | 0.142095i | ||||
\(887\) | −88.0687 | − | 88.0687i | −0.0992882 | − | 0.0992882i | 0.655718 | − | 0.755006i | \(-0.272366\pi\) |
−0.755006 | + | 0.655718i | \(0.772366\pi\) | |||||||
\(888\) | −1048.85 | + | 648.357i | −1.18114 | + | 0.730131i | ||||
\(889\) | 777.448 | + | 777.448i | 0.874520 | + | 0.874520i | ||||
\(890\) | 271.078 | − | 37.7666i | 0.304581 | − | 0.0424343i | ||||
\(891\) | −323.215 | + | 52.4288i | −0.362755 | + | 0.0588426i | ||||
\(892\) | −1174.67 | − | 654.812i | −1.31689 | − | 0.734094i | ||||
\(893\) | 37.9028 | − | 15.6999i | 0.0424443 | − | 0.0175810i | ||||
\(894\) | −140.624 | + | 252.236i | −0.157298 | + | 0.282143i | ||||
\(895\) | 508.387 | 0.568030 | ||||||||
\(896\) | 722.197 | + | 1111.24i | 0.806023 | + | 1.24023i | ||||
\(897\) | 950.610 | + | 247.112i | 1.05977 | + | 0.275487i | ||||
\(898\) | −1271.98 | − | 330.581i | −1.41646 | − | 0.368131i | ||||
\(899\) | −882.312 | + | 365.466i | −0.981437 | + | 0.406525i | ||||
\(900\) | 364.379 | + | 589.527i | 0.404865 | + | 0.655030i | ||||
\(901\) | −737.368 | − | 305.428i | −0.818388 | − | 0.338987i | ||||
\(902\) | 84.3728 | − | 11.7548i | 0.0935397 | − | 0.0130320i | ||||
\(903\) | 789.434 | − | 463.685i | 0.874235 | − | 0.513494i | ||||
\(904\) | 81.4124 | − | 85.1760i | 0.0900580 | − | 0.0942213i | ||||
\(905\) | −672.890 | − | 672.890i | −0.743525 | − | 0.743525i | ||||
\(906\) | −280.824 | − | 354.823i | −0.309961 | − | 0.391637i | ||||
\(907\) | −512.240 | + | 1236.66i | −0.564763 | + | 1.36346i | 0.341155 | + | 0.940007i | \(0.389182\pi\) |
−0.905918 | + | 0.423452i | \(0.860818\pi\) | |||||||
\(908\) | 773.445 | + | 89.9995i | 0.851812 | + | 0.0991184i | ||||
\(909\) | −12.1666 | + | 104.464i | −0.0133846 | + | 0.114922i | ||||
\(910\) | −1512.38 | − | 2574.55i | −1.66195 | − | 2.82918i | ||||
\(911\) | −181.067 | −0.198756 | −0.0993780 | − | 0.995050i | \(-0.531685\pi\) | ||||
−0.0993780 | + | 0.995050i | \(0.531685\pi\) | |||||||
\(912\) | −111.014 | − | 58.6448i | −0.121726 | − | 0.0643036i | ||||
\(913\) | 480.365i | 0.526140i | ||||||||
\(914\) | 415.864 | + | 707.933i | 0.454993 | + | 0.774544i | ||||
\(915\) | 1681.93 | − | 234.238i | 1.83818 | − | 0.255998i | ||||
\(916\) | 702.284 | + | 887.245i | 0.766686 | + | 0.968608i | ||||
\(917\) | 795.806 | + | 329.633i | 0.867836 | + | 0.359469i | ||||
\(918\) | 98.7262 | + | 608.431i | 0.107545 | + | 0.662779i | ||||
\(919\) | −1075.46 | + | 1075.46i | −1.17025 | + | 1.17025i | −0.188095 | + | 0.982151i | \(0.560231\pi\) |
−0.982151 | + | 0.188095i | \(0.939769\pi\) | |||||||
\(920\) | −290.756 | + | 749.388i | −0.316039 | + | 0.814552i | ||||
\(921\) | −415.017 | + | 243.766i | −0.450615 | + | 0.264675i | ||||
\(922\) | 510.317 | − | 71.0974i | 0.553489 | − | 0.0771121i | ||||
\(923\) | −45.2395 | + | 109.218i | −0.0490135 | + | 0.118329i | ||||
\(924\) | 11.3182 | + | 502.137i | 0.0122492 | + | 0.543439i | ||||
\(925\) | 378.508 | + | 913.800i | 0.409198 | + | 0.987892i | ||||
\(926\) | −1162.71 | − | 302.184i | −1.25563 | − | 0.326332i | ||||
\(927\) | 201.351 | + | 112.269i | 0.217207 | + | 0.121110i | ||||
\(928\) | 1024.97 | − | 849.650i | 1.10450 | − | 0.915572i | ||||
\(929\) | − | 1287.93i | − | 1.38636i | −0.720763 | − | 0.693182i | \(-0.756208\pi\) | ||
0.720763 | − | 0.693182i | \(-0.243792\pi\) | |||||||
\(930\) | 800.221 | + | 446.132i | 0.860452 | + | 0.479712i | ||||
\(931\) | −58.2607 | − | 140.654i | −0.0625786 | − | 0.151078i | ||||
\(932\) | 285.380 | + | 1004.31i | 0.306201 | + | 1.07758i | ||||
\(933\) | −963.590 | − | 728.006i | −1.03279 | − | 0.780286i | ||||
\(934\) | 680.370 | − | 94.7893i | 0.728448 | − | 0.101487i | ||||
\(935\) | −217.047 | + | 217.047i | −0.232136 | + | 0.232136i | ||||
\(936\) | −145.486 | + | 1553.87i | −0.155434 | + | 1.66011i | ||||
\(937\) | −224.619 | + | 224.619i | −0.239721 | + | 0.239721i | −0.816735 | − | 0.577013i | \(-0.804218\pi\) |
0.577013 | + | 0.816735i | \(0.304218\pi\) | |||||||
\(938\) | −969.530 | − | 732.414i | −1.03361 | − | 0.780826i | ||||
\(939\) | −227.369 | − | 171.780i | −0.242139 | − | 0.182940i | ||||
\(940\) | 327.240 | − | 259.021i | 0.348127 | − | 0.275555i | ||||
\(941\) | −51.2179 | − | 123.651i | −0.0544292 | − | 0.131404i | 0.894326 | − | 0.447416i | \(-0.147656\pi\) |
−0.948755 | + | 0.316013i | \(0.897656\pi\) | |||||||
\(942\) | 614.540 | − | 174.591i | 0.652378 | − | 0.185340i | ||||
\(943\) | − | 159.149i | − | 0.168769i | ||||||
\(944\) | −470.829 | + | 76.4736i | −0.498759 | + | 0.0810102i | ||||
\(945\) | 1285.15 | − | 1344.14i | 1.35995 | − | 1.42237i | ||||
\(946\) | −120.701 | − | 205.471i | −0.127591 | − | 0.217200i | ||||
\(947\) | −368.927 | − | 890.669i | −0.389575 | − | 0.940516i | −0.990030 | − | 0.140858i | \(-0.955014\pi\) |
0.600455 | − | 0.799658i | \(-0.294986\pi\) | |||||||
\(948\) | 182.544 | − | 470.413i | 0.192557 | − | 0.496216i | ||||
\(949\) | 233.810 | − | 564.466i | 0.246375 | − | 0.594801i | ||||
\(950\) | −60.7050 | + | 80.3580i | −0.0639000 | + | 0.0845873i | ||||
\(951\) | 95.3484 | − | 56.0042i | 0.100261 | − | 0.0588898i | ||||
\(952\) | 945.248 | − | 21.3551i | 0.992907 | − | 0.0224318i | ||||
\(953\) | 624.029 | − | 624.029i | 0.654804 | − | 0.654804i | −0.299342 | − | 0.954146i | \(-0.596767\pi\) |
0.954146 | + | 0.299342i | \(0.0967670\pi\) | |||||||
\(954\) | 455.373 | − | 1173.31i | 0.477331 | − | 1.22988i | ||||
\(955\) | −1520.82 | − | 629.943i | −1.59248 | − | 0.659626i | ||||
\(956\) | −1110.35 | − | 618.959i | −1.16146 | − | 0.647447i | ||||
\(957\) | 499.730 | − | 69.5961i | 0.522184 | − | 0.0727232i | ||||
\(958\) | −391.681 | − | 101.796i | −0.408853 | − | 0.106259i | ||||
\(959\) | − | 1250.49i | − | 1.30395i | ||||||
\(960\) | −1249.38 | − | 265.181i | −1.30144 | − | 0.276230i | ||||
\(961\) | −434.093 | −0.451710 | ||||||||
\(962\) | −560.257 | + | 2155.70i | −0.582388 | + | 2.24085i | ||||
\(963\) | 1636.77 | + | 190.630i | 1.69966 | + | 0.197954i | ||||
\(964\) | −212.995 | + | 382.093i | −0.220949 | + | 0.396362i | ||||
\(965\) | −431.702 | + | 1042.22i | −0.447360 | + | 1.08002i | ||||
\(966\) | 932.047 | + | 108.504i | 0.964852 | + | 0.112323i | ||||
\(967\) | −751.783 | − | 751.783i | −0.777438 | − | 0.777438i | 0.201956 | − | 0.979395i | \(-0.435270\pi\) |
−0.979395 | + | 0.201956i | \(0.935270\pi\) | |||||||
\(968\) | −837.054 | + | 18.9108i | −0.864726 | + | 0.0195359i | ||||
\(969\) | −77.2332 | + | 45.3640i | −0.0797040 | + | 0.0468152i | ||||
\(970\) | 129.144 | + | 97.5598i | 0.133138 | + | 0.100577i | ||||
\(971\) | −1021.98 | − | 423.316i | −1.05250 | − | 0.435959i | −0.211715 | − | 0.977331i | \(-0.567905\pi\) |
−0.840783 | + | 0.541373i | \(0.817905\pi\) | |||||||
\(972\) | −955.708 | + | 177.215i | −0.983239 | + | 0.182320i | ||||
\(973\) | 1638.63 | − | 678.743i | 1.68410 | − | 0.697578i | ||||
\(974\) | −66.4290 | + | 39.0226i | −0.0682022 | + | 0.0400643i | ||||
\(975\) | 1211.60 | + | 314.956i | 1.24267 | + | 0.323032i | ||||
\(976\) | −795.922 | + | 1104.61i | −0.815494 | + | 1.13178i | ||||
\(977\) | −1273.72 | −1.30370 | −0.651852 | − | 0.758346i | \(-0.726008\pi\) | ||||
−0.651852 | + | 0.758346i | \(0.726008\pi\) | |||||||
\(978\) | −1191.76 | + | 338.580i | −1.21857 | + | 0.346196i | ||||
\(979\) | −76.8309 | + | 31.8244i | −0.0784790 | + | 0.0325071i | ||||
\(980\) | −961.203 | − | 1214.36i | −0.980820 | − | 1.23914i | ||||
\(981\) | 1433.08 | − | 1134.09i | 1.46084 | − | 1.15606i | ||||
\(982\) | −168.596 | + | 223.178i | −0.171686 | + | 0.227268i | ||||
\(983\) | −483.972 | − | 483.972i | −0.492342 | − | 0.492342i | 0.416702 | − | 0.909043i | \(-0.363186\pi\) |
−0.909043 | + | 0.416702i | \(0.863186\pi\) | |||||||
\(984\) | 249.610 | − | 40.5292i | 0.253669 | − | 0.0411882i | ||||
\(985\) | 246.755 | + | 246.755i | 0.250512 | + | 0.250512i | ||||
\(986\) | −131.060 | − | 940.711i | −0.132921 | − | 0.954068i | ||||
\(987\) | −388.723 | − | 293.685i | −0.393842 | − | 0.297554i | ||||
\(988\) | −218.151 | + | 61.9889i | −0.220801 | + | 0.0627418i | ||||
\(989\) | −411.310 | + | 170.370i | −0.415884 | + | 0.172265i | ||||
\(990\) | −349.877 | − | 334.487i | −0.353411 | − | 0.337865i | ||||
\(991\) | 439.266 | 0.443255 | 0.221628 | − | 0.975131i | \(-0.428863\pi\) | ||||
0.221628 | + | 0.975131i | \(0.428863\pi\) | |||||||
\(992\) | −701.855 | + | 216.684i | −0.707515 | + | 0.218431i | ||||
\(993\) | 56.2178 | − | 216.263i | 0.0566141 | − | 0.217788i | ||||
\(994\) | −28.4081 | + | 109.306i | −0.0285796 | + | 0.109966i | ||||
\(995\) | 71.2918 | − | 29.5300i | 0.0716501 | − | 0.0296784i | ||||
\(996\) | 32.1331 | + | 1425.60i | 0.0322622 | + | 1.43132i | ||||
\(997\) | 205.621 | + | 85.1710i | 0.206240 | + | 0.0854272i | 0.483412 | − | 0.875393i | \(-0.339397\pi\) |
−0.277172 | + | 0.960820i | \(0.589397\pi\) | |||||||
\(998\) | 59.4556 | + | 426.755i | 0.0595748 | + | 0.427611i | ||||
\(999\) | −1386.85 | + | 31.1157i | −1.38824 | + | 0.0311469i |
(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 | 96.3.p.a.5.13 | ✓ | 120 | |
3.2 | odd | 2 | inner | 96.3.p.a.5.18 | yes | 120 | |
4.3 | odd | 2 | 384.3.p.a.113.2 | 120 | |||
12.11 | even | 2 | 384.3.p.a.113.25 | 120 | |||
32.13 | even | 8 | inner | 96.3.p.a.77.18 | yes | 120 | |
32.19 | odd | 8 | 384.3.p.a.17.25 | 120 | |||
96.77 | odd | 8 | inner | 96.3.p.a.77.13 | yes | 120 | |
96.83 | even | 8 | 384.3.p.a.17.2 | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
96.3.p.a.5.13 | ✓ | 120 | 1.1 | even | 1 | trivial | |
96.3.p.a.5.18 | yes | 120 | 3.2 | odd | 2 | inner | |
96.3.p.a.77.13 | yes | 120 | 96.77 | odd | 8 | inner | |
96.3.p.a.77.18 | yes | 120 | 32.13 | even | 8 | inner | |
384.3.p.a.17.2 | 120 | 96.83 | even | 8 | |||
384.3.p.a.17.25 | 120 | 32.19 | odd | 8 | |||
384.3.p.a.113.2 | 120 | 4.3 | odd | 2 | |||
384.3.p.a.113.25 | 120 | 12.11 | even | 2 |