Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [75,3,Mod(14,75)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(75, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("75.14");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 75 = 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 75.h (of order \(10\), 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: | \(2.04360198270\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 14.12 | ||
Character | \(\chi\) | \(=\) | 75.14 |
Dual form | 75.3.h.a.59.12 |
$q$-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 \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).
\(n\) | \(26\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.949573 | − | 0.689905i | 0.474787 | − | 0.344953i | −0.324517 | − | 0.945880i | \(-0.605202\pi\) |
0.799304 | + | 0.600927i | \(0.205202\pi\) | |||||||
\(3\) | 1.65555 | − | 2.50183i | 0.551852 | − | 0.833942i | ||||
\(4\) | −0.810348 | + | 2.49399i | −0.202587 | + | 0.623499i | ||||
\(5\) | 4.82831 | + | 1.29902i | 0.965662 | + | 0.259803i | ||||
\(6\) | −0.153954 | − | 3.51784i | −0.0256589 | − | 0.586307i | ||||
\(7\) | − | 4.52613i | − | 0.646590i | −0.946298 | − | 0.323295i | \(-0.895209\pi\) | ||
0.946298 | − | 0.323295i | \(-0.104791\pi\) | |||||||
\(8\) | 2.40195 | + | 7.39246i | 0.300244 | + | 0.924057i | ||||
\(9\) | −3.51828 | − | 8.28382i | −0.390920 | − | 0.920425i | ||||
\(10\) | 5.48103 | − | 2.09756i | 0.548103 | − | 0.209756i | ||||
\(11\) | −9.16255 | − | 12.6112i | −0.832960 | − | 1.14647i | −0.987365 | − | 0.158463i | \(-0.949346\pi\) |
0.154405 | − | 0.988008i | \(-0.450654\pi\) | |||||||
\(12\) | 4.89797 | + | 6.15629i | 0.408164 | + | 0.513025i | ||||
\(13\) | −11.4738 | + | 15.7924i | −0.882604 | + | 1.21480i | 0.0930891 | + | 0.995658i | \(0.470326\pi\) |
−0.975693 | + | 0.219142i | \(0.929674\pi\) | |||||||
\(14\) | −3.12260 | − | 4.29789i | −0.223043 | − | 0.306992i | ||||
\(15\) | 11.2434 | − | 9.92900i | 0.749563 | − | 0.661933i | ||||
\(16\) | −1.10515 | − | 0.802935i | −0.0690716 | − | 0.0501834i | ||||
\(17\) | 2.55369 | + | 7.85945i | 0.150217 | + | 0.462320i | 0.997645 | − | 0.0685900i | \(-0.0218500\pi\) |
−0.847428 | + | 0.530910i | \(0.821850\pi\) | |||||||
\(18\) | −9.05592 | − | 5.43882i | −0.503107 | − | 0.302157i | ||||
\(19\) | 10.2547 | + | 31.5607i | 0.539721 | + | 1.66109i | 0.733220 | + | 0.679991i | \(0.238016\pi\) |
−0.193499 | + | 0.981100i | \(0.561984\pi\) | |||||||
\(20\) | −7.15235 | + | 10.9891i | −0.357618 | + | 0.549456i | ||||
\(21\) | −11.3236 | − | 7.49325i | −0.539219 | − | 0.356822i | ||||
\(22\) | −17.4010 | − | 5.65394i | −0.790956 | − | 0.256997i | ||||
\(23\) | 10.6402 | − | 7.73056i | 0.462618 | − | 0.336111i | −0.331940 | − | 0.943301i | \(-0.607703\pi\) |
0.794557 | + | 0.607189i | \(0.207703\pi\) | |||||||
\(24\) | 22.4712 | + | 6.22934i | 0.936301 | + | 0.259556i | ||||
\(25\) | 21.6251 | + | 12.5441i | 0.865004 | + | 0.501764i | ||||
\(26\) | 22.9119i | 0.881227i | ||||||||
\(27\) | −26.5494 | − | 4.91220i | −0.983311 | − | 0.181933i | ||||
\(28\) | 11.2881 | + | 3.66774i | 0.403148 | + | 0.130991i | ||||
\(29\) | −29.2705 | − | 9.51056i | −1.00933 | − | 0.327950i | −0.242740 | − | 0.970091i | \(-0.578046\pi\) |
−0.766586 | + | 0.642141i | \(0.778046\pi\) | |||||||
\(30\) | 3.82641 | − | 17.1852i | 0.127547 | − | 0.572841i | ||||
\(31\) | −11.2815 | − | 34.7209i | −0.363920 | − | 1.12003i | −0.950655 | − | 0.310251i | \(-0.899587\pi\) |
0.586735 | − | 0.809779i | \(-0.300413\pi\) | |||||||
\(32\) | −32.6949 | −1.02172 | ||||||||
\(33\) | −46.7201 | + | 2.04464i | −1.41576 | + | 0.0619588i | ||||
\(34\) | 7.84719 | + | 5.70132i | 0.230800 | + | 0.167686i | ||||
\(35\) | 5.87952 | − | 21.8535i | 0.167986 | − | 0.624387i | ||||
\(36\) | 23.5108 | − | 2.06179i | 0.653079 | − | 0.0572718i | ||||
\(37\) | −9.54112 | + | 13.1322i | −0.257868 | + | 0.354925i | −0.918247 | − | 0.396007i | \(-0.870396\pi\) |
0.660379 | + | 0.750932i | \(0.270396\pi\) | |||||||
\(38\) | 31.5115 | + | 22.8945i | 0.829251 | + | 0.602486i | ||||
\(39\) | 20.5143 | + | 54.8508i | 0.526007 | + | 1.40643i | ||||
\(40\) | 1.99445 | + | 38.8132i | 0.0498612 | + | 0.970331i | ||||
\(41\) | 17.3303 | − | 23.8531i | 0.422691 | − | 0.581784i | −0.543565 | − | 0.839367i | \(-0.682926\pi\) |
0.966256 | + | 0.257583i | \(0.0829260\pi\) | |||||||
\(42\) | −15.9222 | + | 0.696814i | −0.379100 | + | 0.0165908i | ||||
\(43\) | − | 12.8584i | − | 0.299032i | −0.988759 | − | 0.149516i | \(-0.952228\pi\) | ||
0.988759 | − | 0.149516i | \(-0.0477715\pi\) | |||||||
\(44\) | 38.8771 | − | 12.6319i | 0.883569 | − | 0.287089i | ||||
\(45\) | −6.22650 | − | 44.5671i | −0.138367 | − | 0.990381i | ||||
\(46\) | 4.77030 | − | 14.6815i | 0.103702 | − | 0.319163i | ||||
\(47\) | 1.51095 | − | 4.65021i | 0.0321478 | − | 0.0989407i | −0.933695 | − | 0.358069i | \(-0.883435\pi\) |
0.965843 | + | 0.259128i | \(0.0834353\pi\) | |||||||
\(48\) | −3.83843 | + | 1.43558i | −0.0799674 | + | 0.0299079i | ||||
\(49\) | 28.5142 | 0.581921 | ||||||||
\(50\) | 29.1889 | − | 3.00773i | 0.583778 | − | 0.0601545i | ||||
\(51\) | 23.8908 | + | 6.62286i | 0.468446 | + | 0.129860i | ||||
\(52\) | −30.0883 | − | 41.4131i | −0.578622 | − | 0.796405i | ||||
\(53\) | 0.118940 | − | 0.366060i | 0.00224415 | − | 0.00690679i | −0.949928 | − | 0.312468i | \(-0.898844\pi\) |
0.952172 | + | 0.305562i | \(0.0988442\pi\) | |||||||
\(54\) | −28.5996 | + | 13.6521i | −0.529621 | + | 0.252816i | ||||
\(55\) | −27.8575 | − | 72.7929i | −0.506500 | − | 1.32351i | ||||
\(56\) | 33.4592 | − | 10.8716i | 0.597486 | − | 0.194135i | ||||
\(57\) | 95.9367 | + | 26.5950i | 1.68310 | + | 0.466579i | ||||
\(58\) | −34.3559 | + | 11.1629i | −0.592342 | + | 0.192464i | ||||
\(59\) | 24.3125 | − | 33.4633i | 0.412076 | − | 0.567174i | −0.551647 | − | 0.834078i | \(-0.686000\pi\) |
0.963723 | + | 0.266903i | \(0.0860004\pi\) | |||||||
\(60\) | 15.6518 | + | 36.0870i | 0.260863 | + | 0.601450i | ||||
\(61\) | 21.8684 | − | 15.8883i | 0.358498 | − | 0.260464i | −0.393927 | − | 0.919142i | \(-0.628884\pi\) |
0.752425 | + | 0.658677i | \(0.228884\pi\) | |||||||
\(62\) | −34.6668 | − | 25.1869i | −0.559142 | − | 0.406240i | ||||
\(63\) | −37.4937 | + | 15.9242i | −0.595137 | + | 0.252765i | ||||
\(64\) | −26.6256 | + | 19.3447i | −0.416026 | + | 0.302260i | ||||
\(65\) | −75.9139 | + | 61.3458i | −1.16791 | + | 0.943782i | ||||
\(66\) | −42.9535 | + | 34.1740i | −0.650811 | + | 0.517788i | ||||
\(67\) | 55.6316 | − | 18.0758i | 0.830322 | − | 0.269788i | 0.137141 | − | 0.990552i | \(-0.456209\pi\) |
0.693181 | + | 0.720764i | \(0.256209\pi\) | |||||||
\(68\) | −21.6708 | −0.318688 | ||||||||
\(69\) | −1.72509 | − | 39.4183i | −0.0250013 | − | 0.571280i | ||||
\(70\) | −9.49384 | − | 24.8079i | −0.135626 | − | 0.354398i | ||||
\(71\) | 15.6979 | + | 5.10057i | 0.221098 | + | 0.0718390i | 0.417471 | − | 0.908690i | \(-0.362916\pi\) |
−0.196373 | + | 0.980529i | \(0.562916\pi\) | |||||||
\(72\) | 52.7871 | − | 45.9061i | 0.733154 | − | 0.637584i | ||||
\(73\) | 37.5788 | + | 51.7228i | 0.514778 | + | 0.708531i | 0.984716 | − | 0.174168i | \(-0.0557237\pi\) |
−0.469938 | + | 0.882700i | \(0.655724\pi\) | |||||||
\(74\) | 19.0525i | 0.257466i | ||||||||
\(75\) | 67.1847 | − | 33.3348i | 0.895797 | − | 0.444464i | ||||
\(76\) | −87.0222 | −1.14503 | ||||||||
\(77\) | −57.0798 | + | 41.4709i | −0.741296 | + | 0.538583i | ||||
\(78\) | 57.3216 | + | 37.9319i | 0.734893 | + | 0.486307i | ||||
\(79\) | 11.5206 | − | 35.4568i | 0.145830 | − | 0.448820i | −0.851286 | − | 0.524701i | \(-0.824177\pi\) |
0.997117 | + | 0.0758813i | \(0.0241770\pi\) | |||||||
\(80\) | −4.29296 | − | 5.31242i | −0.0536619 | − | 0.0664053i | ||||
\(81\) | −56.2434 | + | 58.2896i | −0.694363 | + | 0.719624i | ||||
\(82\) | − | 34.6066i | − | 0.422032i | ||||||
\(83\) | 24.5328 | + | 75.5041i | 0.295575 | + | 0.909688i | 0.983028 | + | 0.183458i | \(0.0587291\pi\) |
−0.687452 | + | 0.726230i | \(0.741271\pi\) | |||||||
\(84\) | 27.8642 | − | 22.1688i | 0.331716 | − | 0.263915i | ||||
\(85\) | 2.12044 | + | 41.2651i | 0.0249463 | + | 0.485472i | ||||
\(86\) | −8.87106 | − | 12.2100i | −0.103152 | − | 0.141976i | ||||
\(87\) | −72.2526 | + | 57.4844i | −0.830490 | + | 0.660741i | ||||
\(88\) | 71.2195 | − | 98.0252i | 0.809313 | − | 1.11392i | ||||
\(89\) | −37.7114 | − | 51.9054i | −0.423724 | − | 0.583206i | 0.542774 | − | 0.839879i | \(-0.317374\pi\) |
−0.966498 | + | 0.256672i | \(0.917374\pi\) | |||||||
\(90\) | −36.6596 | − | 38.0241i | −0.407329 | − | 0.422490i | ||||
\(91\) | 71.4784 | + | 51.9321i | 0.785477 | + | 0.570683i | ||||
\(92\) | 10.6577 | + | 32.8011i | 0.115845 | + | 0.356533i | ||||
\(93\) | −105.543 | − | 29.2580i | −1.13487 | − | 0.314602i | ||||
\(94\) | −1.77345 | − | 5.45813i | −0.0188665 | − | 0.0580652i | ||||
\(95\) | 8.51493 | + | 165.706i | 0.0896308 | + | 1.74427i | ||||
\(96\) | −54.1282 | + | 81.7970i | −0.563836 | + | 0.852052i | ||||
\(97\) | 8.05793 | + | 2.61818i | 0.0830715 | + | 0.0269916i | 0.350258 | − | 0.936653i | \(-0.386094\pi\) |
−0.267186 | + | 0.963645i | \(0.586094\pi\) | |||||||
\(98\) | 27.0763 | − | 19.6721i | 0.276289 | − | 0.200735i | ||||
\(99\) | −72.2323 | + | 120.271i | −0.729619 | + | 1.21485i | ||||
\(100\) | −48.8088 | + | 43.7678i | −0.488088 | + | 0.437678i | ||||
\(101\) | − | 71.0307i | − | 0.703274i | −0.936136 | − | 0.351637i | \(-0.885625\pi\) | ||
0.936136 | − | 0.351637i | \(-0.114375\pi\) | |||||||
\(102\) | 27.2552 | − | 10.1935i | 0.267208 | − | 0.0999360i | ||||
\(103\) | −53.5433 | − | 17.3973i | −0.519838 | − | 0.168906i | 0.0373339 | − | 0.999303i | \(-0.488113\pi\) |
−0.557172 | + | 0.830397i | \(0.688113\pi\) | |||||||
\(104\) | −144.304 | − | 46.8873i | −1.38754 | − | 0.450839i | ||||
\(105\) | −44.9399 | − | 50.8893i | −0.427999 | − | 0.484660i | ||||
\(106\) | −0.139604 | − | 0.429658i | −0.00131702 | − | 0.00405338i | ||||
\(107\) | 66.8812 | 0.625058 | 0.312529 | − | 0.949908i | \(-0.398824\pi\) | ||||
0.312529 | + | 0.949908i | \(0.398824\pi\) | |||||||
\(108\) | 33.7652 | − | 62.2334i | 0.312641 | − | 0.576236i | ||||
\(109\) | −147.061 | − | 106.846i | −1.34919 | − | 0.980240i | −0.999052 | − | 0.0435407i | \(-0.986136\pi\) |
−0.350134 | − | 0.936700i | \(-0.613864\pi\) | |||||||
\(110\) | −76.6730 | − | 49.9032i | −0.697027 | − | 0.453665i | ||||
\(111\) | 17.0587 | + | 45.6114i | 0.153682 | + | 0.410913i | ||||
\(112\) | −3.63419 | + | 5.00203i | −0.0324481 | + | 0.0446610i | ||||
\(113\) | −29.0363 | − | 21.0961i | −0.256958 | − | 0.186691i | 0.451847 | − | 0.892096i | \(-0.350765\pi\) |
−0.708805 | + | 0.705405i | \(0.750765\pi\) | |||||||
\(114\) | 109.447 | − | 40.9334i | 0.960062 | − | 0.359064i | ||||
\(115\) | 61.4163 | − | 23.5037i | 0.534055 | − | 0.204380i | ||||
\(116\) | 47.4385 | − | 65.2936i | 0.408953 | − | 0.562875i | ||||
\(117\) | 171.190 | + | 39.4853i | 1.46316 | + | 0.337481i | ||||
\(118\) | − | 48.5492i | − | 0.411434i | ||||||
\(119\) | 35.5729 | − | 11.5583i | 0.298932 | − | 0.0971288i | ||||
\(120\) | 100.406 | + | 59.2677i | 0.836716 | + | 0.493897i | ||||
\(121\) | −37.6983 | + | 116.023i | −0.311556 | + | 0.958870i | ||||
\(122\) | 9.80421 | − | 30.1742i | 0.0803623 | − | 0.247330i | ||||
\(123\) | −30.9851 | − | 82.8477i | −0.251912 | − | 0.673558i | ||||
\(124\) | 95.7358 | 0.772063 | ||||||||
\(125\) | 88.1177 | + | 88.6582i | 0.704941 | + | 0.709266i | ||||
\(126\) | −24.6168 | + | 40.9883i | −0.195371 | + | 0.325304i | ||||
\(127\) | 109.767 | + | 151.081i | 0.864304 | + | 1.18961i | 0.980526 | + | 0.196389i | \(0.0629216\pi\) |
−0.116222 | + | 0.993223i | \(0.537078\pi\) | |||||||
\(128\) | 28.4761 | − | 87.6405i | 0.222470 | − | 0.684691i | ||||
\(129\) | −32.1694 | − | 21.2877i | −0.249375 | − | 0.165021i | ||||
\(130\) | −29.7630 | + | 110.626i | −0.228946 | + | 0.850967i | ||||
\(131\) | 130.052 | − | 42.2566i | 0.992766 | − | 0.322569i | 0.232794 | − | 0.972526i | \(-0.425213\pi\) |
0.759971 | + | 0.649957i | \(0.225213\pi\) | |||||||
\(132\) | 32.7602 | − | 118.177i | 0.248183 | − | 0.895277i | ||||
\(133\) | 142.848 | − | 46.4141i | 1.07405 | − | 0.348978i | ||||
\(134\) | 40.3557 | − | 55.5448i | 0.301162 | − | 0.414514i | ||||
\(135\) | −121.808 | − | 58.2057i | −0.902279 | − | 0.431154i | ||||
\(136\) | −51.9668 | + | 37.7561i | −0.382109 | + | 0.277618i | ||||
\(137\) | −117.368 | − | 85.2728i | −0.856700 | − | 0.622429i | 0.0702850 | − | 0.997527i | \(-0.477609\pi\) |
−0.926985 | + | 0.375098i | \(0.877609\pi\) | |||||||
\(138\) | −28.8330 | − | 36.2405i | −0.208935 | − | 0.262612i | ||||
\(139\) | −3.34482 | + | 2.43015i | −0.0240635 | + | 0.0174831i | −0.599752 | − | 0.800186i | \(-0.704734\pi\) |
0.575689 | + | 0.817669i | \(0.304734\pi\) | |||||||
\(140\) | 49.7382 | + | 32.3725i | 0.355273 | + | 0.231232i | ||||
\(141\) | −9.13257 | − | 11.4788i | −0.0647700 | − | 0.0814099i | ||||
\(142\) | 18.4253 | − | 5.98673i | 0.129755 | − | 0.0421601i | ||||
\(143\) | 304.290 | 2.12791 | ||||||||
\(144\) | −2.76316 | + | 11.9798i | −0.0191886 | + | 0.0831929i | ||||
\(145\) | −128.973 | − | 83.9427i | −0.889466 | − | 0.578916i | ||||
\(146\) | 71.3677 | + | 23.1888i | 0.488820 | + | 0.158827i | ||||
\(147\) | 47.2067 | − | 71.3375i | 0.321134 | − | 0.485289i | ||||
\(148\) | −25.0201 | − | 34.4372i | −0.169055 | − | 0.232684i | ||||
\(149\) | 157.266i | 1.05547i | 0.849408 | + | 0.527737i | \(0.176959\pi\) | ||||
−0.849408 | + | 0.527737i | \(0.823041\pi\) | |||||||
\(150\) | 40.7990 | − | 78.0050i | 0.271993 | − | 0.520033i | ||||
\(151\) | 47.4259 | 0.314079 | 0.157039 | − | 0.987592i | \(-0.449805\pi\) | ||||
0.157039 | + | 0.987592i | \(0.449805\pi\) | |||||||
\(152\) | −208.680 | + | 151.615i | −1.37290 | + | 0.997467i | ||||
\(153\) | 56.1217 | − | 48.8060i | 0.366808 | − | 0.318994i | ||||
\(154\) | −25.5905 | + | 78.7593i | −0.166172 | + | 0.511424i | ||||
\(155\) | −9.36754 | − | 182.298i | −0.0604357 | − | 1.17612i | ||||
\(156\) | −153.421 | + | 6.71426i | −0.983469 | + | 0.0430402i | ||||
\(157\) | 247.875i | 1.57882i | 0.613867 | + | 0.789410i | \(0.289613\pi\) | ||||
−0.613867 | + | 0.789410i | \(0.710387\pi\) | |||||||
\(158\) | −13.5222 | − | 41.6170i | −0.0855833 | − | 0.263398i | ||||
\(159\) | −0.718906 | − | 0.903599i | −0.00452142 | − | 0.00568301i | ||||
\(160\) | −157.861 | − | 42.4713i | −0.986632 | − | 0.265445i | ||||
\(161\) | −34.9895 | − | 48.1590i | −0.217326 | − | 0.299124i | ||||
\(162\) | −13.1930 | + | 94.1529i | −0.0814381 | + | 0.581191i | ||||
\(163\) | −74.1290 | + | 102.030i | −0.454779 | + | 0.625950i | −0.973416 | − | 0.229045i | \(-0.926440\pi\) |
0.518637 | + | 0.854995i | \(0.326440\pi\) | |||||||
\(164\) | 45.4460 | + | 62.5511i | 0.277110 | + | 0.381409i | ||||
\(165\) | −228.235 | − | 50.8181i | −1.38324 | − | 0.307988i | ||||
\(166\) | 75.3863 | + | 54.7714i | 0.454135 | + | 0.329948i | ||||
\(167\) | 3.00294 | + | 9.24211i | 0.0179817 | + | 0.0553420i | 0.959645 | − | 0.281215i | \(-0.0907375\pi\) |
−0.941663 | + | 0.336557i | \(0.890737\pi\) | |||||||
\(168\) | 28.1948 | − | 101.708i | 0.167826 | − | 0.605403i | ||||
\(169\) | −65.5268 | − | 201.671i | −0.387732 | − | 1.19332i | ||||
\(170\) | 30.4825 | + | 37.7214i | 0.179309 | + | 0.221890i | ||||
\(171\) | 225.365 | − | 195.988i | 1.31792 | − | 1.14613i | ||||
\(172\) | 32.0687 | + | 10.4198i | 0.186446 | + | 0.0605799i | ||||
\(173\) | −205.101 | + | 149.015i | −1.18555 | + | 0.861356i | −0.992787 | − | 0.119889i | \(-0.961746\pi\) |
−0.192767 | + | 0.981245i | \(0.561746\pi\) | |||||||
\(174\) | −28.9504 | + | 104.433i | −0.166381 | + | 0.600191i | ||||
\(175\) | 56.7763 | − | 97.8780i | 0.324436 | − | 0.559303i | ||||
\(176\) | 21.2941i | 0.120989i | ||||||||
\(177\) | −43.4687 | − | 116.226i | −0.245586 | − | 0.656644i | ||||
\(178\) | −71.6196 | − | 23.2706i | −0.402357 | − | 0.130734i | ||||
\(179\) | −337.748 | − | 109.741i | −1.88686 | − | 0.613077i | −0.982487 | − | 0.186331i | \(-0.940340\pi\) |
−0.904371 | − | 0.426746i | \(-0.859660\pi\) | |||||||
\(180\) | 116.196 | + | 20.5860i | 0.645532 | + | 0.114367i | ||||
\(181\) | 14.7839 | + | 45.5002i | 0.0816791 | + | 0.251383i | 0.983554 | − | 0.180615i | \(-0.0578089\pi\) |
−0.901875 | + | 0.431998i | \(0.857809\pi\) | |||||||
\(182\) | 103.702 | 0.569793 | ||||||||
\(183\) | −3.54550 | − | 81.0149i | −0.0193743 | − | 0.442704i | ||||
\(184\) | 82.7052 | + | 60.0888i | 0.449485 | + | 0.326570i | ||||
\(185\) | −63.1265 | + | 51.0124i | −0.341224 | + | 0.275742i | ||||
\(186\) | −120.406 | + | 45.0320i | −0.647344 | + | 0.242108i | ||||
\(187\) | 75.7185 | − | 104.218i | 0.404912 | − | 0.557314i | ||||
\(188\) | 10.3732 | + | 7.53658i | 0.0551766 | + | 0.0400882i | ||||
\(189\) | −22.2332 | + | 120.166i | −0.117636 | + | 0.635799i | ||||
\(190\) | 122.407 | + | 151.476i | 0.644248 | + | 0.797240i | ||||
\(191\) | −146.083 | + | 201.066i | −0.764832 | + | 1.05270i | 0.231965 | + | 0.972724i | \(0.425485\pi\) |
−0.996797 | + | 0.0799766i | \(0.974515\pi\) | |||||||
\(192\) | 4.31679 | + | 98.6389i | 0.0224833 | + | 0.513744i | ||||
\(193\) | 314.212i | 1.62804i | 0.580835 | + | 0.814021i | \(0.302726\pi\) | ||||
−0.580835 | + | 0.814021i | \(0.697274\pi\) | |||||||
\(194\) | 9.45789 | − | 3.07306i | 0.0487520 | − | 0.0158405i | ||||
\(195\) | 27.7971 | + | 291.485i | 0.142549 | + | 1.49479i | ||||
\(196\) | −23.1064 | + | 71.1141i | −0.117890 | + | 0.362827i | ||||
\(197\) | 71.6978 | − | 220.663i | 0.363948 | − | 1.12012i | −0.586689 | − | 0.809813i | \(-0.699569\pi\) |
0.950637 | − | 0.310305i | \(-0.100431\pi\) | |||||||
\(198\) | 14.3854 | + | 164.039i | 0.0726538 | + | 0.828481i | ||||
\(199\) | −14.9368 | −0.0750595 | −0.0375297 | − | 0.999296i | \(-0.511949\pi\) | ||||
−0.0375297 | + | 0.999296i | \(0.511949\pi\) | |||||||
\(200\) | −40.7893 | + | 189.993i | −0.203946 | + | 0.949965i | ||||
\(201\) | 46.8786 | − | 169.106i | 0.233227 | − | 0.841324i | ||||
\(202\) | −49.0045 | − | 67.4488i | −0.242596 | − | 0.333905i | ||||
\(203\) | −43.0460 | + | 132.482i | −0.212049 | + | 0.652621i | ||||
\(204\) | −35.8772 | + | 54.2166i | −0.175869 | + | 0.265768i | ||||
\(205\) | 114.662 | − | 92.6579i | 0.559326 | − | 0.451990i | ||||
\(206\) | −62.8458 | + | 20.4198i | −0.305077 | + | 0.0991254i | ||||
\(207\) | −101.474 | − | 60.9433i | −0.490212 | − | 0.294412i | ||||
\(208\) | 25.3605 | − | 8.24014i | 0.121926 | − | 0.0396161i | ||||
\(209\) | 304.059 | − | 418.501i | 1.45483 | − | 2.00240i | ||||
\(210\) | −77.7825 | − | 17.3188i | −0.370393 | − | 0.0824705i | ||||
\(211\) | 194.813 | − | 141.540i | 0.923286 | − | 0.670807i | −0.0210536 | − | 0.999778i | \(-0.506702\pi\) |
0.944340 | + | 0.328972i | \(0.106702\pi\) | |||||||
\(212\) | 0.816568 | + | 0.593271i | 0.00385174 | + | 0.00279845i | ||||
\(213\) | 38.7495 | − | 30.8293i | 0.181923 | − | 0.144738i | ||||
\(214\) | 63.5086 | − | 46.1417i | 0.296769 | − | 0.215615i | ||||
\(215\) | 16.7032 | − | 62.0842i | 0.0776895 | − | 0.288763i | ||||
\(216\) | −27.4572 | − | 208.064i | −0.127117 | − | 0.963260i | ||||
\(217\) | −157.152 | + | 51.0616i | −0.724200 | + | 0.235307i | ||||
\(218\) | −213.359 | −0.978712 | ||||||||
\(219\) | 191.615 | − | 8.38577i | 0.874955 | − | 0.0382912i | ||||
\(220\) | 204.119 | − | 10.4888i | 0.927816 | − | 0.0476765i | ||||
\(221\) | −153.420 | − | 49.8492i | −0.694209 | − | 0.225562i | ||||
\(222\) | 47.6660 | + | 31.5424i | 0.214712 | + | 0.142083i | ||||
\(223\) | −130.399 | − | 179.479i | −0.584750 | − | 0.804840i | 0.409456 | − | 0.912330i | \(-0.365719\pi\) |
−0.994206 | + | 0.107490i | \(0.965719\pi\) | |||||||
\(224\) | 147.981i | 0.660631i | ||||||||
\(225\) | 27.8300 | − | 223.272i | 0.123689 | − | 0.992321i | ||||
\(226\) | −42.1264 | −0.186400 | ||||||||
\(227\) | 23.8507 | − | 17.3285i | 0.105069 | − | 0.0763371i | −0.534010 | − | 0.845478i | \(-0.679316\pi\) |
0.639079 | + | 0.769141i | \(0.279316\pi\) | |||||||
\(228\) | −144.070 | + | 217.714i | −0.631886 | + | 0.954888i | ||||
\(229\) | −64.2078 | + | 197.611i | −0.280383 | + | 0.862932i | 0.707361 | + | 0.706852i | \(0.249886\pi\) |
−0.987745 | + | 0.156079i | \(0.950114\pi\) | |||||||
\(230\) | 42.1040 | − | 64.6900i | 0.183061 | − | 0.281261i | ||||
\(231\) | 9.25430 | + | 211.461i | 0.0400619 | + | 0.915416i | ||||
\(232\) | − | 239.225i | − | 1.03114i | ||||||
\(233\) | 37.4986 | + | 115.409i | 0.160938 | + | 0.495316i | 0.998714 | − | 0.0506978i | \(-0.0161445\pi\) |
−0.837776 | + | 0.546014i | \(0.816145\pi\) | |||||||
\(234\) | 189.798 | − | 80.6105i | 0.811104 | − | 0.344489i | ||||
\(235\) | 13.3360 | − | 20.4899i | 0.0567490 | − | 0.0871911i | ||||
\(236\) | 63.7557 | + | 87.7521i | 0.270151 | + | 0.371831i | ||||
\(237\) | −69.6338 | − | 87.5232i | −0.293813 | − | 0.369296i | ||||
\(238\) | 25.8049 | − | 35.5174i | 0.108424 | − | 0.149233i | ||||
\(239\) | 64.3700 | + | 88.5977i | 0.269331 | + | 0.370702i | 0.922164 | − | 0.386800i | \(-0.126420\pi\) |
−0.652833 | + | 0.757502i | \(0.726420\pi\) | |||||||
\(240\) | −20.3980 | + | 1.94523i | −0.0849916 | + | 0.00810512i | ||||
\(241\) | −175.497 | − | 127.506i | −0.728203 | − | 0.529070i | 0.160791 | − | 0.986988i | \(-0.448595\pi\) |
−0.888994 | + | 0.457918i | \(0.848595\pi\) | |||||||
\(242\) | 44.2479 | + | 136.181i | 0.182842 | + | 0.562731i | ||||
\(243\) | 52.7164 | + | 237.213i | 0.216940 | + | 0.976185i | ||||
\(244\) | 21.9044 | + | 67.4147i | 0.0897720 | + | 0.276290i | ||||
\(245\) | 137.675 | + | 37.0404i | 0.561939 | + | 0.151185i | ||||
\(246\) | −86.5797 | − | 57.2931i | −0.351950 | − | 0.232899i | ||||
\(247\) | −616.081 | − | 200.177i | −2.49425 | − | 0.810432i | ||||
\(248\) | 229.575 | − | 166.796i | 0.925707 | − | 0.672566i | ||||
\(249\) | 229.514 | + | 63.6244i | 0.921741 | + | 0.255520i | ||||
\(250\) | 144.840 | + | 23.3946i | 0.579360 | + | 0.0935785i | ||||
\(251\) | 163.018i | 0.649476i | 0.945804 | + | 0.324738i | \(0.105276\pi\) | ||||
−0.945804 | + | 0.324738i | \(0.894724\pi\) | |||||||
\(252\) | −9.33191 | − | 106.413i | −0.0370314 | − | 0.422274i | ||||
\(253\) | −194.983 | − | 63.3538i | −0.770684 | − | 0.250410i | ||||
\(254\) | 208.463 | + | 67.7337i | 0.820720 | + | 0.266668i | ||||
\(255\) | 106.749 | + | 63.0117i | 0.418622 | + | 0.247105i | ||||
\(256\) | −74.1039 | − | 228.068i | −0.289468 | − | 0.890891i | ||||
\(257\) | 236.058 | 0.918512 | 0.459256 | − | 0.888304i | \(-0.348116\pi\) | ||||
0.459256 | + | 0.888304i | \(0.348116\pi\) | |||||||
\(258\) | −45.2337 | + | 1.97959i | −0.175325 | + | 0.00767283i | ||||
\(259\) | 59.4382 | + | 43.1844i | 0.229491 | + | 0.166735i | ||||
\(260\) | −91.4795 | − | 239.040i | −0.351844 | − | 0.919386i | ||||
\(261\) | 24.1979 | + | 275.932i | 0.0927123 | + | 1.05721i | ||||
\(262\) | 94.3412 | − | 129.849i | 0.360081 | − | 0.495609i | ||||
\(263\) | −71.2176 | − | 51.7426i | −0.270789 | − | 0.196740i | 0.444101 | − | 0.895977i | \(-0.353523\pi\) |
−0.714890 | + | 0.699237i | \(0.753523\pi\) | |||||||
\(264\) | −127.334 | − | 340.465i | −0.482327 | − | 1.28964i | ||||
\(265\) | 1.04980 | − | 1.61294i | 0.00396150 | − | 0.00608658i | ||||
\(266\) | 103.623 | − | 142.625i | 0.389561 | − | 0.536185i | ||||
\(267\) | −192.292 | + | 8.41537i | −0.720193 | + | 0.0315182i | ||||
\(268\) | 153.393i | 0.572360i | ||||||||
\(269\) | −114.500 | + | 37.2032i | −0.425650 | + | 0.138302i | −0.514005 | − | 0.857787i | \(-0.671839\pi\) |
0.0883556 | + | 0.996089i | \(0.471839\pi\) | |||||||
\(270\) | −155.822 | + | 28.7651i | −0.577117 | + | 0.106537i | ||||
\(271\) | 82.4311 | − | 253.697i | 0.304174 | − | 0.936151i | −0.675810 | − | 0.737076i | \(-0.736206\pi\) |
0.979984 | − | 0.199075i | \(-0.0637938\pi\) | |||||||
\(272\) | 3.48843 | − | 10.7363i | 0.0128251 | − | 0.0394716i | ||||
\(273\) | 248.262 | − | 92.8502i | 0.909383 | − | 0.340111i | ||||
\(274\) | −170.280 | −0.621459 | ||||||||
\(275\) | −39.9453 | − | 387.654i | −0.145256 | − | 1.40965i | ||||
\(276\) | 99.7070 | + | 27.6402i | 0.361257 | + | 0.100146i | ||||
\(277\) | 244.274 | + | 336.215i | 0.881857 | + | 1.21377i | 0.975903 | + | 0.218204i | \(0.0700199\pi\) |
−0.0940459 | + | 0.995568i | \(0.529980\pi\) | |||||||
\(278\) | −1.49958 | + | 4.61522i | −0.00539416 | + | 0.0166015i | ||||
\(279\) | −247.931 | + | 215.612i | −0.888640 | + | 0.772803i | ||||
\(280\) | 175.674 | − | 9.02713i | 0.627406 | − | 0.0322397i | ||||
\(281\) | 134.339 | − | 43.6494i | 0.478075 | − | 0.155336i | −0.0600598 | − | 0.998195i | \(-0.519129\pi\) |
0.538135 | + | 0.842859i | \(0.319129\pi\) | |||||||
\(282\) | −16.5913 | − | 4.59935i | −0.0588345 | − | 0.0163098i | ||||
\(283\) | −188.219 | + | 61.1562i | −0.665086 | + | 0.216100i | −0.622054 | − | 0.782974i | \(-0.713702\pi\) |
−0.0430320 | + | 0.999074i | \(0.513702\pi\) | |||||||
\(284\) | −25.4416 | + | 35.0173i | −0.0895830 | + | 0.123300i | ||||
\(285\) | 428.665 | + | 253.032i | 1.50409 | + | 0.887833i | ||||
\(286\) | 288.946 | − | 209.932i | 1.01030 | − | 0.734027i | ||||
\(287\) | −107.962 | − | 78.4393i | −0.376176 | − | 0.273308i | ||||
\(288\) | 115.030 | + | 270.839i | 0.399409 | + | 0.940413i | ||||
\(289\) | 178.556 | − | 129.729i | 0.617842 | − | 0.448888i | ||||
\(290\) | −180.381 | + | 9.26904i | −0.622005 | + | 0.0319622i | ||||
\(291\) | 19.8906 | − | 15.8250i | 0.0683525 | − | 0.0543815i | ||||
\(292\) | −159.448 | + | 51.8079i | −0.546056 | + | 0.177424i | ||||
\(293\) | 68.8382 | 0.234943 | 0.117471 | − | 0.993076i | \(-0.462521\pi\) | ||||
0.117471 | + | 0.993076i | \(0.462521\pi\) | |||||||
\(294\) | −4.38985 | − | 100.308i | −0.0149315 | − | 0.341185i | ||||
\(295\) | 160.858 | − | 129.989i | 0.545280 | − | 0.440640i | ||||
\(296\) | −119.997 | − | 38.9893i | −0.405395 | − | 0.131721i | ||||
\(297\) | 181.312 | + | 379.827i | 0.610477 | + | 1.27888i | ||||
\(298\) | 108.498 | + | 149.335i | 0.364089 | + | 0.501125i | ||||
\(299\) | 256.734i | 0.858641i | ||||||||
\(300\) | 28.6938 | + | 194.571i | 0.0956461 | + | 0.648571i | ||||
\(301\) | −58.1986 | −0.193351 | ||||||||
\(302\) | 45.0343 | − | 32.7194i | 0.149120 | − | 0.108342i | ||||
\(303\) | −177.706 | − | 117.595i | −0.586490 | − | 0.388103i | ||||
\(304\) | 14.0083 | − | 43.1131i | 0.0460799 | − | 0.141819i | ||||
\(305\) | 126.227 | − | 48.3063i | 0.413857 | − | 0.158381i | ||||
\(306\) | 19.6201 | − | 85.0636i | 0.0641180 | − | 0.277986i | ||||
\(307\) | − | 141.263i | − | 0.460138i | −0.973174 | − | 0.230069i | \(-0.926105\pi\) | ||
0.973174 | − | 0.230069i | \(-0.0738953\pi\) | |||||||
\(308\) | −57.1737 | − | 175.963i | −0.185629 | − | 0.571307i | ||||
\(309\) | −132.169 | + | 105.154i | −0.427731 | + | 0.340304i | ||||
\(310\) | −134.664 | − | 166.643i | −0.434399 | − | 0.537558i | ||||
\(311\) | −317.649 | − | 437.206i | −1.02138 | − | 1.40581i | −0.911233 | − | 0.411892i | \(-0.864868\pi\) |
−0.110146 | − | 0.993915i | \(-0.535132\pi\) | |||||||
\(312\) | −356.208 | + | 283.400i | −1.14169 | + | 0.908333i | ||||
\(313\) | 80.5178 | − | 110.823i | 0.257245 | − | 0.354068i | −0.660787 | − | 0.750574i | \(-0.729777\pi\) |
0.918032 | + | 0.396506i | \(0.129777\pi\) | |||||||
\(314\) | 171.010 | + | 235.375i | 0.544618 | + | 0.749603i | ||||
\(315\) | −201.717 | + | 28.1819i | −0.640370 | + | 0.0894665i | ||||
\(316\) | 79.0933 | + | 57.4647i | 0.250295 | + | 0.181850i | ||||
\(317\) | 84.7017 | + | 260.685i | 0.267198 | + | 0.822350i | 0.991179 | + | 0.132530i | \(0.0423102\pi\) |
−0.723981 | + | 0.689820i | \(0.757690\pi\) | |||||||
\(318\) | −1.30605 | − | 0.362056i | −0.00410708 | − | 0.00113854i | ||||
\(319\) | 148.253 | + | 456.276i | 0.464743 | + | 1.43033i | ||||
\(320\) | −153.686 | + | 58.8148i | −0.480268 | + | 0.183796i | ||||
\(321\) | 110.725 | − | 167.325i | 0.344939 | − | 0.521262i | ||||
\(322\) | −66.4503 | − | 21.5910i | −0.206367 | − | 0.0670528i | ||||
\(323\) | −221.863 | + | 161.193i | −0.686881 | + | 0.499048i | ||||
\(324\) | −99.7971 | − | 187.506i | −0.308016 | − | 0.578721i | ||||
\(325\) | −446.225 | + | 197.583i | −1.37300 | + | 0.607948i | ||||
\(326\) | 148.027i | 0.454070i | ||||||||
\(327\) | −510.779 | + | 191.032i | −1.56201 | + | 0.584196i | ||||
\(328\) | 217.960 | + | 70.8195i | 0.664512 | + | 0.215913i | ||||
\(329\) | −21.0475 | − | 6.83873i | −0.0639740 | − | 0.0207864i | ||||
\(330\) | −251.786 | + | 109.205i | −0.762986 | + | 0.330924i | ||||
\(331\) | −28.7321 | − | 88.4284i | −0.0868040 | − | 0.267155i | 0.898227 | − | 0.439532i | \(-0.144856\pi\) |
−0.985031 | + | 0.172376i | \(0.944856\pi\) | |||||||
\(332\) | −208.187 | −0.627069 | ||||||||
\(333\) | 142.353 | + | 32.8341i | 0.427488 | + | 0.0986010i | ||||
\(334\) | 9.22770 | + | 6.70432i | 0.0276278 | + | 0.0200728i | ||||
\(335\) | 292.087 | − | 15.0091i | 0.871902 | − | 0.0448033i | ||||
\(336\) | 6.49762 | + | 17.3732i | 0.0193382 | + | 0.0517061i | ||||
\(337\) | 276.127 | − | 380.056i | 0.819368 | − | 1.12776i | −0.170442 | − | 0.985368i | \(-0.554519\pi\) |
0.989810 | − | 0.142396i | \(-0.0454805\pi\) | |||||||
\(338\) | −201.356 | − | 146.294i | −0.595728 | − | 0.432822i | ||||
\(339\) | −100.850 | + | 37.7180i | −0.297492 | + | 0.111263i | ||||
\(340\) | −104.633 | − | 28.1507i | −0.307745 | − | 0.0827963i | ||||
\(341\) | −334.504 | + | 460.406i | −0.980951 | + | 1.35016i | ||||
\(342\) | 78.7874 | − | 341.585i | 0.230372 | − | 0.998786i | ||||
\(343\) | − | 350.839i | − | 1.02285i | ||||||
\(344\) | 95.0549 | − | 30.8852i | 0.276322 | − | 0.0897826i | ||||
\(345\) | 42.8758 | − | 192.565i | 0.124278 | − | 0.558159i | ||||
\(346\) | −91.9524 | + | 283.001i | −0.265758 | + | 0.817921i | ||||
\(347\) | −77.9057 | + | 239.769i | −0.224512 | + | 0.690977i | 0.773829 | + | 0.633395i | \(0.218339\pi\) |
−0.998341 | + | 0.0575821i | \(0.981661\pi\) | |||||||
\(348\) | −84.8161 | − | 226.780i | −0.243724 | − | 0.651667i | ||||
\(349\) | 123.827 | 0.354806 | 0.177403 | − | 0.984138i | \(-0.443230\pi\) | ||||
0.177403 | + | 0.984138i | \(0.443230\pi\) | |||||||
\(350\) | −13.6134 | − | 132.113i | −0.0388953 | − | 0.377465i | ||||
\(351\) | 382.199 | − | 362.917i | 1.08889 | − | 1.03395i | ||||
\(352\) | 299.569 | + | 412.321i | 0.851048 | + | 1.17137i | ||||
\(353\) | 127.446 | − | 392.238i | 0.361036 | − | 1.11116i | −0.591390 | − | 0.806386i | \(-0.701421\pi\) |
0.952426 | − | 0.304770i | \(-0.0985795\pi\) | |||||||
\(354\) | −121.462 | − | 80.3758i | −0.343112 | − | 0.227050i | ||||
\(355\) | 69.1687 | + | 45.0190i | 0.194842 | + | 0.126814i | ||||
\(356\) | 160.011 | − | 51.9907i | 0.449469 | − | 0.146041i | ||||
\(357\) | 29.9759 | − | 108.133i | 0.0839661 | − | 0.302893i | ||||
\(358\) | −396.427 | + | 128.807i | −1.10734 | + | 0.359796i | ||||
\(359\) | −370.136 | + | 509.449i | −1.03102 | + | 1.41908i | −0.126841 | + | 0.991923i | \(0.540484\pi\) |
−0.904179 | + | 0.427154i | \(0.859516\pi\) | |||||||
\(360\) | 314.505 | − | 153.077i | 0.873625 | − | 0.425215i | ||||
\(361\) | −598.866 | + | 435.102i | −1.65891 | + | 1.20527i | ||||
\(362\) | 45.4293 | + | 33.0063i | 0.125495 | + | 0.0911776i | ||||
\(363\) | 227.859 | + | 286.397i | 0.627710 | + | 0.788974i | ||||
\(364\) | −187.441 | + | 136.184i | −0.514947 | + | 0.374131i | ||||
\(365\) | 114.253 | + | 298.549i | 0.313022 | + | 0.817942i | ||||
\(366\) | −59.2593 | − | 74.4835i | −0.161911 | − | 0.203507i | ||||
\(367\) | 140.729 | − | 45.7256i | 0.383458 | − | 0.124593i | −0.110944 | − | 0.993827i | \(-0.535387\pi\) |
0.494401 | + | 0.869234i | \(0.335387\pi\) | |||||||
\(368\) | −17.9661 | −0.0488210 | ||||||||
\(369\) | −258.568 | − | 59.6393i | −0.700727 | − | 0.161624i | ||||
\(370\) | −24.7495 | + | 91.9913i | −0.0668906 | + | 0.248625i | ||||
\(371\) | −1.65683 | − | 0.538338i | −0.00446586 | − | 0.00145105i | ||||
\(372\) | 158.496 | − | 239.514i | 0.426064 | − | 0.643856i | ||||
\(373\) | 82.2542 | + | 113.213i | 0.220521 | + | 0.303521i | 0.904916 | − | 0.425591i | \(-0.139934\pi\) |
−0.684395 | + | 0.729111i | \(0.739934\pi\) | |||||||
\(374\) | − | 151.201i | − | 0.404281i | ||||||
\(375\) | 367.691 | − | 73.6766i | 0.980510 | − | 0.196471i | ||||
\(376\) | 38.0057 | 0.101079 | ||||||||
\(377\) | 486.040 | − | 353.128i | 1.28923 | − | 0.936680i | ||||
\(378\) | 61.7911 | + | 129.445i | 0.163468 | + | 0.342448i | ||||
\(379\) | 126.815 | − | 390.298i | 0.334605 | − | 1.02981i | −0.632311 | − | 0.774715i | \(-0.717893\pi\) |
0.966916 | − | 0.255094i | \(-0.0821065\pi\) | |||||||
\(380\) | −420.170 | − | 113.043i | −1.10571 | − | 0.297482i | ||||
\(381\) | 559.703 | − | 24.4946i | 1.46904 | − | 0.0642903i | ||||
\(382\) | 291.710i | 0.763639i | ||||||||
\(383\) | −50.5993 | − | 155.729i | −0.132113 | − | 0.406602i | 0.863017 | − | 0.505175i | \(-0.168572\pi\) |
−0.995130 | + | 0.0985732i | \(0.968572\pi\) | |||||||
\(384\) | −172.118 | − | 216.336i | −0.448223 | − | 0.563375i | ||||
\(385\) | −329.470 | + | 126.087i | −0.855767 | + | 0.327498i | ||||
\(386\) | 216.777 | + | 298.368i | 0.561598 | + | 0.772973i | ||||
\(387\) | −106.516 | + | 45.2393i | −0.275236 | + | 0.116897i | ||||
\(388\) | −13.0595 | + | 17.9748i | −0.0336584 | + | 0.0463268i | ||||
\(389\) | −95.5239 | − | 131.477i | −0.245563 | − | 0.337988i | 0.668388 | − | 0.743812i | \(-0.266984\pi\) |
−0.913951 | + | 0.405824i | \(0.866984\pi\) | |||||||
\(390\) | 227.492 | + | 257.609i | 0.583314 | + | 0.660535i | ||||
\(391\) | 87.9298 | + | 63.8847i | 0.224884 | + | 0.163388i | ||||
\(392\) | 68.4897 | + | 210.790i | 0.174719 | + | 0.537729i | ||||
\(393\) | 109.590 | − | 395.326i | 0.278855 | − | 1.00592i | ||||
\(394\) | −84.1544 | − | 259.001i | −0.213590 | − | 0.657362i | ||||
\(395\) | 101.684 | − | 156.231i | 0.257428 | − | 0.395521i | ||||
\(396\) | −241.421 | − | 277.608i | −0.609649 | − | 0.701030i | ||||
\(397\) | −127.297 | − | 41.3613i | −0.320647 | − | 0.104185i | 0.144271 | − | 0.989538i | \(-0.453916\pi\) |
−0.464918 | + | 0.885354i | \(0.653916\pi\) | |||||||
\(398\) | −14.1836 | + | 10.3050i | −0.0356372 | + | 0.0258920i | ||||
\(399\) | 120.373 | − | 434.222i | 0.301686 | − | 1.08828i | ||||
\(400\) | −13.8268 | − | 31.2266i | −0.0345670 | − | 0.0780666i | ||||
\(401\) | 451.210i | 1.12521i | 0.826725 | + | 0.562606i | \(0.190201\pi\) | ||||
−0.826725 | + | 0.562606i | \(0.809799\pi\) | |||||||
\(402\) | −72.1525 | − | 192.920i | −0.179484 | − | 0.479902i | ||||
\(403\) | 677.770 | + | 220.221i | 1.68181 | + | 0.546453i | ||||
\(404\) | 177.150 | + | 57.5596i | 0.438490 | + | 0.142474i | ||||
\(405\) | −347.280 | + | 208.379i | −0.857481 | + | 0.514516i | ||||
\(406\) | 50.5247 | + | 155.499i | 0.124445 | + | 0.383003i | ||||
\(407\) | 253.034 | 0.621705 | ||||||||
\(408\) | 8.42533 | + | 192.519i | 0.0206503 | + | 0.471861i | ||||
\(409\) | 15.8044 | + | 11.4826i | 0.0386415 | + | 0.0280747i | 0.606938 | − | 0.794749i | \(-0.292397\pi\) |
−0.568297 | + | 0.822824i | \(0.692397\pi\) | |||||||
\(410\) | 44.9546 | − | 167.091i | 0.109645 | − | 0.407540i | ||||
\(411\) | −407.647 | + | 152.461i | −0.991841 | + | 0.370950i | ||||
\(412\) | 86.7774 | − | 119.439i | 0.210625 | − | 0.289900i | ||||
\(413\) | −151.459 | − | 110.042i | −0.366729 | − | 0.266444i | ||||
\(414\) | −138.402 | + | 12.1372i | −0.334304 | + | 0.0293169i | ||||
\(415\) | 20.3706 | + | 396.425i | 0.0490858 | + | 0.955242i | ||||
\(416\) | 375.137 | − | 516.331i | 0.901771 | − | 1.24118i | ||||
\(417\) | 0.542293 | + | 12.3914i | 0.00130046 | + | 0.0297156i | ||||
\(418\) | − | 607.169i | − | 1.45256i | ||||||
\(419\) | 520.732 | − | 169.196i | 1.24280 | − | 0.403809i | 0.387463 | − | 0.921885i | \(-0.373352\pi\) |
0.855334 | + | 0.518076i | \(0.173352\pi\) | |||||||
\(420\) | 163.335 | − | 70.8419i | 0.388892 | − | 0.168671i | ||||
\(421\) | −173.380 | + | 533.609i | −0.411829 | + | 1.26748i | 0.503227 | + | 0.864154i | \(0.332146\pi\) |
−0.915056 | + | 0.403326i | \(0.867854\pi\) | |||||||
\(422\) | 87.3402 | − | 268.806i | 0.206967 | − | 0.636980i | ||||
\(423\) | −43.8374 | + | 3.84433i | −0.103635 | + | 0.00908826i | ||||
\(424\) | 2.99177 | 0.00705606 | ||||||||
\(425\) | −43.3660 | + | 201.995i | −0.102038 | + | 0.475283i | ||||
\(426\) | 15.5263 | − | 56.0082i | 0.0364466 | − | 0.131475i | ||||
\(427\) | −71.9126 | − | 98.9792i | −0.168414 | − | 0.231801i | ||||
\(428\) | −54.1970 | + | 166.801i | −0.126629 | + | 0.389722i | ||||
\(429\) | 503.770 | − | 761.282i | 1.17429 | − | 1.77455i | ||||
\(430\) | −26.9712 | − | 70.4771i | −0.0627238 | − | 0.163900i | ||||
\(431\) | −432.742 | + | 140.606i | −1.00404 | + | 0.326233i | −0.764479 | − | 0.644648i | \(-0.777004\pi\) |
−0.239562 | + | 0.970881i | \(0.577004\pi\) | |||||||
\(432\) | 25.3968 | + | 26.7461i | 0.0587888 | + | 0.0619123i | ||||
\(433\) | 797.637 | − | 259.168i | 1.84212 | − | 0.598541i | 0.844061 | − | 0.536247i | \(-0.180159\pi\) |
0.998058 | − | 0.0622933i | \(-0.0198414\pi\) | |||||||
\(434\) | −113.999 | + | 156.906i | −0.262671 | + | 0.361536i | ||||
\(435\) | −423.531 | + | 183.695i | −0.973635 | + | 0.422288i | ||||
\(436\) | 385.645 | − | 280.187i | 0.884506 | − | 0.642631i | ||||
\(437\) | 353.095 | + | 256.538i | 0.807997 | + | 0.587044i | ||||
\(438\) | 176.167 | − | 140.159i | 0.402208 | − | 0.319998i | ||||
\(439\) | −443.492 | + | 322.216i | −1.01023 | + | 0.733977i | −0.964258 | − | 0.264966i | \(-0.914639\pi\) |
−0.0459747 | + | 0.998943i | \(0.514639\pi\) | |||||||
\(440\) | 471.206 | − | 380.781i | 1.07092 | − | 0.865411i | ||||
\(441\) | −100.321 | − | 236.206i | −0.227485 | − | 0.535615i | ||||
\(442\) | −180.075 | + | 58.5099i | −0.407409 | + | 0.132375i | ||||
\(443\) | −770.025 | −1.73820 | −0.869102 | − | 0.494632i | \(-0.835303\pi\) | ||||
−0.869102 | + | 0.494632i | \(0.835303\pi\) | |||||||
\(444\) | −127.578 | + | 5.58327i | −0.287338 | + | 0.0125749i | ||||
\(445\) | −114.657 | − | 299.603i | −0.257655 | − | 0.673265i | ||||
\(446\) | −247.648 | − | 80.4656i | −0.555263 | − | 0.180416i | ||||
\(447\) | 393.451 | + | 260.362i | 0.880205 | + | 0.582465i | ||||
\(448\) | 87.5564 | + | 120.511i | 0.195438 | + | 0.268998i | ||||
\(449\) | − | 512.440i | − | 1.14129i | −0.821196 | − | 0.570646i | \(-0.806693\pi\) | ||
0.821196 | − | 0.570646i | \(-0.193307\pi\) | |||||||
\(450\) | −127.610 | − | 231.213i | −0.283578 | − | 0.513808i | ||||
\(451\) | −459.606 | −1.01908 | ||||||||
\(452\) | 76.1430 | − | 55.3211i | 0.168458 | − | 0.122392i | ||||
\(453\) | 78.5161 | − | 118.651i | 0.173325 | − | 0.261923i | ||||
\(454\) | 10.6929 | − | 32.9094i | 0.0235527 | − | 0.0724877i | ||||
\(455\) | 277.659 | + | 343.596i | 0.610240 | + | 0.755156i | ||||
\(456\) | 33.8331 | + | 773.088i | 0.0741954 | + | 1.69537i | ||||
\(457\) | 379.087i | 0.829513i | 0.909933 | + | 0.414756i | \(0.136133\pi\) | ||||
−0.909933 | + | 0.414756i | \(0.863867\pi\) | |||||||
\(458\) | 75.3631 | + | 231.944i | 0.164548 | + | 0.506427i | ||||
\(459\) | −29.1917 | − | 221.208i | −0.0635986 | − | 0.481934i | ||||
\(460\) | 8.84956 | + | 172.218i | 0.0192382 | + | 0.374387i | ||||
\(461\) | −124.704 | − | 171.640i | −0.270507 | − | 0.372321i | 0.652054 | − | 0.758173i | \(-0.273908\pi\) |
−0.922561 | + | 0.385852i | \(0.873908\pi\) | |||||||
\(462\) | 154.676 | + | 194.413i | 0.334796 | + | 0.420808i | ||||
\(463\) | −231.975 | + | 319.286i | −0.501025 | + | 0.689602i | −0.982374 | − | 0.186927i | \(-0.940147\pi\) |
0.481348 | + | 0.876529i | \(0.340147\pi\) | |||||||
\(464\) | 24.7118 | + | 34.0128i | 0.0532581 | + | 0.0733035i | ||||
\(465\) | −471.587 | − | 278.369i | −1.01417 | − | 0.598643i | ||||
\(466\) | 115.229 | + | 83.7186i | 0.247272 | + | 0.179654i | ||||
\(467\) | −278.306 | − | 856.539i | −0.595945 | − | 1.83413i | −0.549965 | − | 0.835188i | \(-0.685359\pi\) |
−0.0459797 | − | 0.998942i | \(-0.514641\pi\) | |||||||
\(468\) | −237.199 | + | 394.949i | −0.506836 | + | 0.843908i | ||||
\(469\) | −81.8134 | − | 251.796i | −0.174442 | − | 0.536878i | ||||
\(470\) | −1.47257 | − | 28.6573i | −0.00313314 | − | 0.0609729i | ||||
\(471\) | 620.140 | + | 410.370i | 1.31664 | + | 0.871274i | ||||
\(472\) | 305.773 | + | 99.3518i | 0.647825 | + | 0.210491i | ||||
\(473\) | −162.159 | + | 117.815i | −0.342831 | + | 0.249081i | ||||
\(474\) | −126.505 | − | 35.0690i | −0.266888 | − | 0.0739853i | ||||
\(475\) | −174.142 | + | 811.141i | −0.366615 | + | 1.70766i | ||||
\(476\) | 98.0848i | 0.206061i | ||||||||
\(477\) | −3.45084 | + | 0.302622i | −0.00723446 | + | 0.000634427i | ||||
\(478\) | 122.248 | + | 39.7208i | 0.255749 | + | 0.0830979i | ||||
\(479\) | 542.640 | + | 176.314i | 1.13286 | + | 0.368088i | 0.814662 | − | 0.579936i | \(-0.196923\pi\) |
0.318197 | + | 0.948024i | \(0.396923\pi\) | |||||||
\(480\) | −367.603 | + | 324.628i | −0.765841 | + | 0.676308i | ||||
\(481\) | −97.9160 | − | 301.354i | −0.203568 | − | 0.626517i | ||||
\(482\) | −254.614 | −0.528245 | ||||||||
\(483\) | −178.412 | + | 7.80797i | −0.369384 | + | 0.0161656i | ||||
\(484\) | −258.813 | − | 188.038i | −0.534737 | − | 0.388509i | ||||
\(485\) | 35.5051 | + | 23.1088i | 0.0732064 | + | 0.0476470i | ||||
\(486\) | 213.713 | + | 188.882i | 0.439738 | + | 0.388646i | ||||
\(487\) | 457.802 | − | 630.110i | 0.940045 | − | 1.29386i | −0.0157647 | − | 0.999876i | \(-0.505018\pi\) |
0.955810 | − | 0.293985i | \(-0.0949817\pi\) | |||||||
\(488\) | 169.981 | + | 123.498i | 0.348321 | + | 0.253070i | ||||
\(489\) | 132.536 | + | 354.374i | 0.271036 | + | 0.724691i | ||||
\(490\) | 156.287 | − | 59.8102i | 0.318953 | − | 0.122062i | ||||
\(491\) | −306.359 | + | 421.667i | −0.623949 | + | 0.858792i | −0.997633 | − | 0.0687637i | \(-0.978095\pi\) |
0.373684 | + | 0.927556i | \(0.378095\pi\) | |||||||
\(492\) | 231.730 | − | 10.1414i | 0.470997 | − | 0.0206125i | ||||
\(493\) | − | 254.337i | − | 0.515896i | ||||||
\(494\) | −723.117 | + | 234.955i | −1.46380 | + | 0.475617i | ||||
\(495\) | −504.993 | + | 486.872i | −1.02019 | + | 0.983581i | ||||
\(496\) | −15.4109 | + | 47.4300i | −0.0310705 | + | 0.0956250i | ||||
\(497\) | 23.0858 | − | 71.0509i | 0.0464504 | − | 0.142960i | ||||
\(498\) | 261.835 | − | 97.9266i | 0.525773 | − | 0.196640i | ||||
\(499\) | 92.9843 | 0.186341 | 0.0931706 | − | 0.995650i | \(-0.470300\pi\) | ||||
0.0931706 | + | 0.995650i | \(0.470300\pi\) | |||||||
\(500\) | −292.519 | + | 147.921i | −0.585038 | + | 0.295842i | ||||
\(501\) | 28.0937 | + | 7.78797i | 0.0560753 | + | 0.0155449i | ||||
\(502\) | 112.467 | + | 154.798i | 0.224038 | + | 0.308363i | ||||
\(503\) | 57.9474 | − | 178.344i | 0.115204 | − | 0.354560i | −0.876786 | − | 0.480881i | \(-0.840317\pi\) |
0.991989 | + | 0.126321i | \(0.0403169\pi\) | |||||||
\(504\) | −207.777 | − | 238.921i | −0.412256 | − | 0.474050i | ||||
\(505\) | 92.2701 | − | 342.958i | 0.182713 | − | 0.679125i | ||||
\(506\) | −228.859 | + | 74.3607i | −0.452290 | + | 0.146958i | ||||
\(507\) | −613.028 | − | 169.940i | −1.20913 | − | 0.335188i | ||||
\(508\) | −465.744 | + | 151.329i | −0.916818 | + | 0.297892i | ||||
\(509\) | −253.712 | + | 349.204i | −0.498452 | + | 0.686060i | −0.981919 | − | 0.189303i | \(-0.939377\pi\) |
0.483467 | + | 0.875363i | \(0.339377\pi\) | |||||||
\(510\) | 144.838 | − | 13.8123i | 0.283996 | − | 0.0270829i | ||||
\(511\) | 234.104 | − | 170.087i | 0.458129 | − | 0.332850i | ||||
\(512\) | 70.4933 | + | 51.2164i | 0.137682 | + | 0.100032i | ||||
\(513\) | −117.224 | − | 888.292i | −0.228506 | − | 1.73156i | ||||
\(514\) | 224.154 | − | 162.857i | 0.436097 | − | 0.316843i | ||||
\(515\) | −235.924 | − | 153.553i | −0.458105 | − | 0.298161i | ||||
\(516\) | 79.1599 | − | 62.9799i | 0.153411 | − | 0.122054i | ||||
\(517\) | −72.4887 | + | 23.5530i | −0.140210 | + | 0.0455571i | ||||
\(518\) | 86.2340 | 0.166475 | ||||||||
\(519\) | 33.2528 | + | 759.829i | 0.0640710 | + | 1.46402i | ||||
\(520\) | −635.838 | − | 413.840i | −1.22277 | − | 0.795846i | ||||
\(521\) | 837.828 | + | 272.227i | 1.60812 | + | 0.522508i | 0.969096 | − | 0.246683i | \(-0.0793406\pi\) |
0.639019 | + | 0.769191i | \(0.279341\pi\) | |||||||
\(522\) | 213.345 | + | 245.324i | 0.408707 | + | 0.469969i | ||||
\(523\) | −361.944 | − | 498.173i | −0.692053 | − | 0.952530i | −0.999999 | − | 0.00112582i | \(-0.999642\pi\) |
0.307946 | − | 0.951404i | \(-0.400358\pi\) | |||||||
\(524\) | 358.592i | 0.684336i | ||||||||
\(525\) | −150.878 | − | 304.087i | −0.287386 | − | 0.579213i | ||||
\(526\) | −103.324 | −0.196433 | ||||||||
\(527\) | 244.078 | − | 177.333i | 0.463146 | − | 0.336495i | ||||
\(528\) | 53.2742 | + | 35.2536i | 0.100898 | + | 0.0667681i | ||||
\(529\) | −110.018 | + | 338.599i | −0.207973 | + | 0.640074i | ||||
\(530\) | −0.115920 | − | 2.25587i | −0.000218716 | − | 0.00425636i | ||||
\(531\) | −362.742 | − | 83.6673i | −0.683130 | − | 0.157566i | ||||
\(532\) | 393.874i | 0.740364i | ||||||||
\(533\) | 177.853 | + | 547.375i | 0.333683 | + | 1.02697i | ||||
\(534\) | −176.789 | + | 140.654i | −0.331066 | + | 0.263397i | ||||
\(535\) | 322.923 | + | 86.8798i | 0.603594 | + | 0.162392i | ||||
\(536\) | 267.249 | + | 367.837i | 0.498599 | + | 0.686263i | ||||
\(537\) | −833.712 | + | 663.304i | −1.55254 | + | 1.23520i | ||||
\(538\) | −83.0592 | + | 114.321i | −0.154385 | + | 0.212493i | ||||
\(539\) | −261.262 | − | 359.597i | −0.484717 | − | 0.667156i | ||||
\(540\) | 243.871 | − | 256.621i | 0.451614 | − | 0.475223i | ||||
\(541\) | 754.736 | + | 548.348i | 1.39508 | + | 1.01358i | 0.995287 | + | 0.0969753i | \(0.0309168\pi\) |
0.399790 | + | 0.916607i | \(0.369083\pi\) | |||||||
\(542\) | −96.7525 | − | 297.773i | −0.178510 | − | 0.549398i | ||||
\(543\) | 138.309 | + | 38.3413i | 0.254713 | + | 0.0706101i | ||||
\(544\) | −83.4927 | − | 256.964i | −0.153479 | − | 0.472360i | ||||
\(545\) | −571.262 | − | 706.921i | −1.04819 | − | 1.29710i | ||||
\(546\) | 171.685 | − | 259.445i | 0.314441 | − | 0.475174i | ||||
\(547\) | −322.894 | − | 104.915i | −0.590300 | − | 0.191800i | −0.00139024 | − | 0.999999i | \(-0.500443\pi\) |
−0.588909 | + | 0.808199i | \(0.700443\pi\) | |||||||
\(548\) | 307.779 | − | 223.614i | 0.561640 | − | 0.408055i | ||||
\(549\) | −208.555 | − | 125.254i | −0.379882 | − | 0.228150i | ||||
\(550\) | −305.376 | − | 340.548i | −0.555228 | − | 0.619177i | ||||
\(551\) | − | 1021.33i | − | 1.85359i | ||||||
\(552\) | 287.255 | − | 107.434i | 0.520389 | − | 0.194626i | ||||
\(553\) | −160.482 | − | 52.1438i | −0.290203 | − | 0.0942925i | ||||
\(554\) | 463.913 | + | 150.734i | 0.837388 | + | 0.272084i | ||||
\(555\) | 23.1148 | + | 242.385i | 0.0416483 | + | 0.436730i | ||||
\(556\) | −3.35032 | − | 10.3112i | −0.00602576 | − | 0.0185454i | ||||
\(557\) | −782.260 | −1.40442 | −0.702208 | − | 0.711972i | \(-0.747802\pi\) | ||||
−0.702208 | + | 0.711972i | \(0.747802\pi\) | |||||||
\(558\) | −86.6764 | + | 375.788i | −0.155334 | + | 0.673456i | ||||
\(559\) | 203.064 | + | 147.535i | 0.363264 | + | 0.263927i | ||||
\(560\) | −24.0447 | + | 19.4305i | −0.0429370 | + | 0.0346973i | ||||
\(561\) | −135.378 | − | 361.973i | −0.241316 | − | 0.645228i | ||||
\(562\) | 97.4508 | − | 134.130i | 0.173400 | − | 0.238665i | ||||
\(563\) | −92.3487 | − | 67.0952i | −0.164030 | − | 0.119174i | 0.502742 | − | 0.864436i | \(-0.332324\pi\) |
−0.666772 | + | 0.745262i | \(0.732324\pi\) | |||||||
\(564\) | 36.0286 | − | 13.4748i | 0.0638805 | − | 0.0238914i | ||||
\(565\) | −112.792 | − | 139.577i | −0.199632 | − | 0.247039i | ||||
\(566\) | −136.536 | + | 187.926i | −0.241230 | + | 0.332025i | ||||
\(567\) | 263.826 | + | 254.565i | 0.465302 | + | 0.448968i | ||||
\(568\) | 128.298i | 0.225876i | ||||||||
\(569\) | −48.2487 | + | 15.6769i | −0.0847956 | + | 0.0275518i | −0.351108 | − | 0.936335i | \(-0.614195\pi\) |
0.266312 | + | 0.963887i | \(0.414195\pi\) | |||||||
\(570\) | 581.617 | − | 55.4652i | 1.02038 | − | 0.0973074i | ||||
\(571\) | 163.602 | − | 503.516i | 0.286519 | − | 0.881814i | −0.699421 | − | 0.714710i | \(-0.746559\pi\) |
0.985939 | − | 0.167103i | \(-0.0534414\pi\) | |||||||
\(572\) | −246.581 | + | 758.899i | −0.431086 | + | 1.32675i | ||||
\(573\) | 261.184 | + | 698.350i | 0.455818 | + | 1.21876i | ||||
\(574\) | −156.634 | −0.272881 | ||||||||
\(575\) | 327.069 | − | 33.7023i | 0.568815 | − | 0.0586128i | ||||
\(576\) | 253.924 | + | 152.502i | 0.440841 | + | 0.264761i | ||||
\(577\) | −43.7565 | − | 60.2257i | −0.0758345 | − | 0.104377i | 0.769415 | − | 0.638750i | \(-0.220548\pi\) |
−0.845249 | + | 0.534372i | \(0.820548\pi\) | |||||||
\(578\) | 80.0518 | − | 246.374i | 0.138498 | − | 0.426253i | ||||
\(579\) | 786.105 | + | 520.196i | 1.35769 | + | 0.898438i | ||||
\(580\) | 313.865 | − | 253.634i | 0.541147 | − | 0.437300i | ||||
\(581\) | 341.741 | − | 111.038i | 0.588195 | − | 0.191116i | ||||
\(582\) | 7.96981 | − | 28.7496i | 0.0136938 | − | 0.0493980i | ||||
\(583\) | −5.70624 | + | 1.85407i | −0.00978771 | + | 0.00318022i | ||||
\(584\) | −292.096 | + | 402.035i | −0.500164 | + | 0.688417i | ||||
\(585\) | 775.264 | + | 413.025i | 1.32524 | + | 0.706026i | ||||
\(586\) | 65.3669 | − | 47.4918i | 0.111548 | − | 0.0810441i | ||||
\(587\) | 850.180 | + | 617.692i | 1.44835 | + | 1.05229i | 0.986214 | + | 0.165476i | \(0.0529161\pi\) |
0.462134 | + | 0.886810i | \(0.347084\pi\) | |||||||
\(588\) | 139.661 | + | 175.542i | 0.237519 | + | 0.298540i | ||||
\(589\) | 980.130 | − | 712.106i | 1.66406 | − | 1.20901i | ||||
\(590\) | 63.0662 | − | 234.410i | 0.106892 | − | 0.397306i | ||||
\(591\) | −433.362 | − | 544.696i | −0.733268 | − | 0.921651i | ||||
\(592\) | 21.0887 | − | 6.85212i | 0.0356227 | − | 0.0115745i | ||||
\(593\) | 1079.90 | 1.82108 | 0.910540 | − | 0.413420i | \(-0.135666\pi\) | ||||
0.910540 | + | 0.413420i | \(0.135666\pi\) | |||||||
\(594\) | 434.214 | + | 235.586i | 0.730999 | + | 0.396609i | ||||
\(595\) | 186.771 | − | 9.59738i | 0.313901 | − | 0.0161301i | ||||
\(596\) | −392.220 | − | 127.440i | −0.658087 | − | 0.213825i | ||||
\(597\) | −24.7287 | + | 37.3694i | −0.0414217 | + | 0.0625953i | ||||
\(598\) | 177.122 | + | 243.788i | 0.296191 | + | 0.407671i | ||||
\(599\) | − | 1066.05i | − | 1.77972i | −0.456229 | − | 0.889862i | \(-0.650800\pi\) | ||
0.456229 | − | 0.889862i | \(-0.349200\pi\) | |||||||
\(600\) | 407.801 | + | 416.592i | 0.679668 | + | 0.694319i | ||||
\(601\) | −825.264 | −1.37315 | −0.686576 | − | 0.727058i | \(-0.740887\pi\) | ||||
−0.686576 | + | 0.727058i | \(0.740887\pi\) | |||||||
\(602\) | −55.2639 | + | 40.1516i | −0.0918005 | + | 0.0666969i | ||||
\(603\) | −345.464 | − | 397.247i | −0.572909 | − | 0.658784i | ||||
\(604\) | −38.4315 | + | 118.280i | −0.0636282 | + | 0.195828i | ||||
\(605\) | −332.735 | + | 511.226i | −0.549975 | + | 0.845001i | ||||
\(606\) | −249.875 | + | 10.9354i | −0.412335 | + | 0.0180453i | ||||
\(607\) | − | 444.639i | − | 0.732519i | −0.930513 | − | 0.366260i | \(-0.880638\pi\) | ||
0.930513 | − | 0.366260i | \(-0.119362\pi\) | |||||||
\(608\) | −335.277 | − | 1031.88i | −0.551442 | − | 1.69716i | ||||
\(609\) | 260.182 | + | 327.025i | 0.427228 | + | 0.536987i | ||||
\(610\) | 86.5346 | − | 132.955i | 0.141860 | − | 0.217959i | ||||
\(611\) | 56.1016 | + | 77.2173i | 0.0918194 | + | 0.126379i | ||||
\(612\) | 76.2439 | + | 179.517i | 0.124581 | + | 0.293328i | ||||
\(613\) | 108.903 | − | 149.893i | 0.177656 | − | 0.244523i | −0.710897 | − | 0.703296i | \(-0.751711\pi\) |
0.888554 | + | 0.458773i | \(0.151711\pi\) | |||||||
\(614\) | −97.4578 | − | 134.139i | −0.158726 | − | 0.218468i | ||||
\(615\) | −41.9853 | − | 440.264i | −0.0682687 | − | 0.715877i | ||||
\(616\) | −443.675 | − | 322.349i | −0.720252 | − | 0.523293i | ||||
\(617\) | −129.854 | − | 399.648i | −0.210460 | − | 0.647728i | −0.999445 | − | 0.0333160i | \(-0.989393\pi\) |
0.788985 | − | 0.614412i | \(-0.210607\pi\) | |||||||
\(618\) | −52.9577 | + | 191.035i | −0.0856921 | + | 0.309119i | ||||
\(619\) | 55.1731 | + | 169.805i | 0.0891327 | + | 0.274322i | 0.985680 | − | 0.168625i | \(-0.0539328\pi\) |
−0.896548 | + | 0.442948i | \(0.853933\pi\) | |||||||
\(620\) | 462.242 | + | 124.362i | 0.745551 | + | 0.200585i | ||||
\(621\) | −320.465 | + | 152.975i | −0.516047 | + | 0.246337i | ||||
\(622\) | −603.262 | − | 196.012i | −0.969874 | − | 0.315131i | ||||
\(623\) | −234.930 | + | 170.687i | −0.377095 | + | 0.273976i | ||||
\(624\) | 21.3704 | − | 77.0897i | 0.0342474 | − | 0.123541i | ||||
\(625\) | 310.291 | + | 542.535i | 0.496465 | + | 0.868057i | ||||
\(626\) | − | 160.784i | − | 0.256844i | ||||||
\(627\) | −543.631 | − | 1453.55i | −0.867035 | − | 2.31827i | ||||
\(628\) | −618.198 | − | 200.865i | −0.984392 | − | 0.319848i | ||||
\(629\) | −127.577 | − | 41.4523i | −0.202825 | − | 0.0659020i | ||||
\(630\) | −172.102 | + | 165.926i | −0.273178 | + | 0.263375i | ||||
\(631\) | −194.093 | − | 597.356i | −0.307596 | − | 0.946682i | −0.978696 | − | 0.205316i | \(-0.934178\pi\) |
0.671100 | − | 0.741367i | \(-0.265822\pi\) | |||||||
\(632\) | 289.785 | 0.458520 | ||||||||
\(633\) | −31.5849 | − | 721.717i | −0.0498972 | − | 1.14015i | ||||
\(634\) | 260.278 | + | 189.103i | 0.410534 | + | 0.298270i | ||||
\(635\) | 333.730 | + | 872.053i | 0.525560 | + | 1.37331i | ||||
\(636\) | 2.83613 | − | 1.06072i | 0.00445933 | − | 0.00166780i | ||||
\(637\) | −327.167 | + | 450.307i | −0.513606 | + | 0.706918i | ||||
\(638\) | 455.565 | + | 330.987i | 0.714051 | + | 0.518788i | ||||
\(639\) | −12.9775 | − | 147.984i | −0.0203091 | − | 0.231587i | ||||
\(640\) | 251.338 | − | 386.164i | 0.392716 | − | 0.603382i | ||||
\(641\) | 102.718 | − | 141.379i | 0.160246 | − | 0.220560i | −0.721342 | − | 0.692579i | \(-0.756475\pi\) |
0.881589 | + | 0.472019i | \(0.156475\pi\) | |||||||
\(642\) | −10.2966 | − | 235.278i | −0.0160383 | − | 0.366476i | ||||
\(643\) | 441.290i | 0.686298i | 0.939281 | + | 0.343149i | \(0.111494\pi\) | ||||
−0.939281 | + | 0.343149i | \(0.888506\pi\) | |||||||
\(644\) | 148.462 | − | 48.2382i | 0.230531 | − | 0.0749040i | ||||
\(645\) | −127.671 | − | 144.572i | −0.197939 | − | 0.224143i | ||||
\(646\) | −99.4672 | + | 306.129i | −0.153974 | + | 0.473883i | ||||
\(647\) | −191.495 | + | 589.361i | −0.295974 | + | 0.910913i | 0.686919 | + | 0.726734i | \(0.258963\pi\) |
−0.982893 | + | 0.184179i | \(0.941037\pi\) | |||||||
\(648\) | −565.997 | − | 275.768i | −0.873453 | − | 0.425568i | ||||
\(649\) | −644.776 | −0.993491 | ||||||||
\(650\) | −287.410 | + | 495.473i | −0.442169 | + | 0.762266i | ||||
\(651\) | −132.426 | + | 477.701i | −0.203419 | + | 0.733796i | ||||
\(652\) | −194.392 | − | 267.557i | −0.298147 | − | 0.410364i | ||||
\(653\) | −240.005 | + | 738.661i | −0.367543 | + | 1.13118i | 0.580831 | + | 0.814024i | \(0.302728\pi\) |
−0.948373 | + | 0.317156i | \(0.897272\pi\) | |||||||
\(654\) | −353.228 | + | 533.788i | −0.540104 | + | 0.816189i | ||||
\(655\) | 682.824 | − | 35.0875i | 1.04248 | − | 0.0535686i | ||||
\(656\) | −38.3051 | + | 12.4461i | −0.0583919 | + | 0.0189727i | ||||
\(657\) | 296.250 | − | 493.271i | 0.450913 | − | 0.750793i | ||||
\(658\) | −24.7042 | + | 8.02688i | −0.0375444 | + | 0.0121989i | ||||
\(659\) | 157.285 | − | 216.484i | 0.238672 | − | 0.328504i | −0.672832 | − | 0.739796i | \(-0.734922\pi\) |
0.911504 | + | 0.411292i | \(0.134922\pi\) | |||||||
\(660\) | 311.690 | − | 528.036i | 0.472257 | − | 0.800055i | ||||
\(661\) | 527.052 | − | 382.926i | 0.797356 | − | 0.579313i | −0.112781 | − | 0.993620i | \(-0.535976\pi\) |
0.910137 | + | 0.414307i | \(0.135976\pi\) | |||||||
\(662\) | −88.2905 | − | 64.1468i | −0.133369 | − | 0.0968985i | ||||
\(663\) | −378.710 | + | 301.303i | −0.571206 | + | 0.454453i | ||||
\(664\) | −499.234 | + | 362.715i | −0.751859 | + | 0.546257i | ||||
\(665\) | 750.007 | − | 38.5397i | 1.12783 | − | 0.0579544i | ||||
\(666\) | 157.827 | − | 67.0319i | 0.236978 | − | 0.100649i | ||||
\(667\) | −384.966 | + | 125.083i | −0.577160 | + | 0.187531i | ||||
\(668\) | −25.4832 | −0.0381485 | ||||||||
\(669\) | −664.909 | + | 29.0988i | −0.993886 | + | 0.0434960i | ||||
\(670\) | 267.003 | − | 215.765i | 0.398512 | − | 0.322037i | ||||
\(671\) | −400.741 | − | 130.209i | −0.597229 | − | 0.194051i | ||||
\(672\) | 370.224 | + | 244.991i | 0.550929 | + | 0.364570i | ||||
\(673\) | 53.6995 | + | 73.9111i | 0.0797913 | + | 0.109823i | 0.847047 | − | 0.531518i | \(-0.178378\pi\) |
−0.767256 | + | 0.641341i | \(0.778378\pi\) | |||||||
\(674\) | − | 551.393i | − | 0.818090i | ||||||
\(675\) | −512.514 | − | 439.265i | −0.759281 | − | 0.650763i | ||||
\(676\) | 556.065 | 0.822581 | ||||||||
\(677\) | −696.469 | + | 506.015i | −1.02876 | + | 0.747437i | −0.968060 | − | 0.250719i | \(-0.919333\pi\) |
−0.0606986 | + | 0.998156i | \(0.519333\pi\) | |||||||
\(678\) | −69.7425 | + | 105.393i | −0.102865 | + | 0.155447i | ||||
\(679\) | 11.8502 | − | 36.4712i | 0.0174525 | − | 0.0537132i | ||||
\(680\) | −299.957 | + | 114.792i | −0.441114 | + | 0.168812i | ||||
\(681\) | −3.86689 | − | 88.3586i | −0.00567825 | − | 0.129748i | ||||
\(682\) | 667.965i | 0.979422i | ||||||||
\(683\) | 249.650 | + | 768.345i | 0.365520 | + | 1.12496i | 0.949655 | + | 0.313299i | \(0.101434\pi\) |
−0.584134 | + | 0.811657i | \(0.698566\pi\) | |||||||
\(684\) | 306.168 | + | 720.876i | 0.447614 | + | 1.05391i | ||||
\(685\) | −455.918 | − | 564.186i | −0.665573 | − | 0.823630i | ||||
\(686\) | −242.046 | − | 333.147i | −0.352836 | − | 0.485638i | ||||
\(687\) | 388.090 | + | 487.793i | 0.564905 | + | 0.710034i | ||||
\(688\) | −10.3244 | + | 14.2104i | −0.0150064 | + | 0.0206546i | ||||
\(689\) | 4.41626 | + | 6.07846i | 0.00640967 | + | 0.00882215i | ||||
\(690\) | −92.1377 | − | 212.435i | −0.133533 | − | 0.307876i | ||||
\(691\) | 873.560 | + | 634.678i | 1.26420 | + | 0.918492i | 0.998956 | − | 0.0456898i | \(-0.0145486\pi\) |
0.265241 | + | 0.964182i | \(0.414549\pi\) | |||||||
\(692\) | −205.438 | − | 632.274i | −0.296876 | − | 0.913691i | ||||
\(693\) | 544.360 | + | 326.933i | 0.785513 | + | 0.471765i | ||||
\(694\) | 91.4408 | + | 281.426i | 0.131759 | + | 0.405513i | ||||
\(695\) | −19.3066 | + | 7.38855i | −0.0277793 | + | 0.0106310i | ||||
\(696\) | −598.499 | − | 396.050i | −0.859912 | − | 0.569037i | ||||
\(697\) | 231.729 | + | 75.2933i | 0.332466 | + | 0.108025i | ||||
\(698\) | 117.583 | − | 85.4291i | 0.168457 | − | 0.122391i | ||||
\(699\) | 350.814 | + | 97.2505i | 0.501879 | + | 0.139128i | ||||
\(700\) | 198.099 | + | 220.915i | 0.282998 | + | 0.315593i | ||||
\(701\) | − | 126.200i | − | 0.180028i | −0.995940 | − | 0.0900140i | \(-0.971309\pi\) | ||
0.995940 | − | 0.0900140i | \(-0.0286912\pi\) | |||||||
\(702\) | 112.548 | − | 608.297i | 0.160325 | − | 0.866521i | ||||
\(703\) | −512.304 | − | 166.458i | −0.728740 | − | 0.236782i | ||||
\(704\) | 487.918 | + | 158.534i | 0.693065 | + | 0.225190i | ||||
\(705\) | −29.1837 | − | 67.2866i | −0.0413953 | − | 0.0954419i | ||||
\(706\) | −149.588 | − | 460.384i | −0.211881 | − | 0.652102i | ||||
\(707\) | −321.494 | −0.454730 | ||||||||
\(708\) | 325.092 | − | 14.2272i | 0.459169 | − | 0.0200949i | ||||
\(709\) | 639.408 | + | 464.557i | 0.901845 | + | 0.655229i | 0.938939 | − | 0.344083i | \(-0.111810\pi\) |
−0.0370940 | + | 0.999312i | \(0.511810\pi\) | |||||||
\(710\) | 96.7397 | − | 4.97104i | 0.136253 | − | 0.00700146i | ||||
\(711\) | −334.250 | + | 29.3121i | −0.470113 | + | 0.0412266i | ||||
\(712\) | 293.127 | − | 403.455i | 0.411695 | − | 0.566650i | ||||
\(713\) | −388.450 | − | 282.226i | −0.544811 | − | 0.395828i | ||||
\(714\) | −46.1370 | − | 123.360i | −0.0646176 | − | 0.172774i | ||||
\(715\) | 1469.21 | + | 395.279i | 2.05484 | + | 0.552837i | ||||
\(716\) | 547.386 | − | 753.412i | 0.764506 | − | 1.05225i | ||||
\(717\) | 328.224 | − | 14.3643i | 0.457774 | − | 0.0200339i | ||||
\(718\) | 739.118i | 1.02941i | ||||||||
\(719\) | −595.621 | + | 193.529i | −0.828402 | + | 0.269164i | −0.692372 | − | 0.721540i | \(-0.743434\pi\) |
−0.136030 | + | 0.990705i | \(0.543434\pi\) | |||||||
\(720\) | −28.9033 | + | 54.2527i | −0.0401435 | + | 0.0753509i | ||||
\(721\) | −78.7423 | + | 242.344i | −0.109213 | + | 0.336122i | ||||
\(722\) | −268.488 | + | 826.322i | −0.371868 | + | 1.14449i | ||||
\(723\) | −609.543 | + | 227.970i | −0.843074 | + | 0.315311i | ||||
\(724\) | −125.457 | −0.173284 | ||||||||
\(725\) | −513.676 | − | 572.839i | −0.708518 | − | 0.790123i | ||||
\(726\) | 413.956 | + | 114.754i | 0.570187 | + | 0.158064i | ||||
\(727\) | −196.370 | − | 270.281i | −0.270110 | − | 0.371775i | 0.652317 | − | 0.757947i | \(-0.273797\pi\) |
−0.922427 | + | 0.386171i | \(0.873797\pi\) | |||||||
\(728\) | −212.218 | + | 653.140i | −0.291508 | + | 0.897170i | ||||
\(729\) | 680.741 | + | 260.832i | 0.933801 | + | 0.357794i | ||||
\(730\) | 314.462 | + | 204.670i | 0.430770 | + | 0.280370i | ||||
\(731\) | 101.060 | − | 32.8363i | 0.138249 | − | 0.0449197i | ||||
\(732\) | 204.924 | + | 56.8078i | 0.279951 | + | 0.0776063i | ||||
\(733\) | −253.600 | + | 82.3997i | −0.345976 | + | 0.112414i | −0.476850 | − | 0.878985i | \(-0.658222\pi\) |
0.130874 | + | 0.991399i | \(0.458222\pi\) | |||||||
\(734\) | 102.086 | − | 140.509i | 0.139082 | − | 0.191430i | ||||
\(735\) | 320.597 | − | 283.117i | 0.436187 | − | 0.385193i | ||||
\(736\) | −347.881 | + | 252.750i | −0.472664 | + | 0.343411i | ||||
\(737\) | −737.684 | − | 535.959i | −1.00093 | − | 0.727217i | ||||
\(738\) | −286.675 | + | 121.756i | −0.388448 | + | 0.164981i | ||||
\(739\) | −895.612 | + | 650.700i | −1.21192 | + | 0.880515i | −0.995404 | − | 0.0957635i | \(-0.969471\pi\) |
−0.216520 | + | 0.976278i | \(0.569471\pi\) | |||||||
\(740\) | −76.0701 | − | 198.775i | −0.102797 | − | 0.268615i | ||||
\(741\) | −1520.76 | + | 1209.92i | −2.05231 | + | 1.63283i | ||||
\(742\) | −1.94469 | + | 0.631867i | −0.00262087 | + | 0.000851573i | ||||
\(743\) | −149.524 | −0.201244 | −0.100622 | − | 0.994925i | \(-0.532083\pi\) | ||||
−0.100622 | + | 0.994925i | \(0.532083\pi\) | |||||||
\(744\) | −37.2209 | − | 850.498i | −0.0500280 | − | 1.14314i | ||||
\(745\) | −204.291 | + | 759.327i | −0.274216 | + | 1.01923i | ||||
\(746\) | 156.213 | + | 50.7566i | 0.209400 | + | 0.0680383i | ||||
\(747\) | 539.149 | − | 468.869i | 0.721753 | − | 0.627670i | ||||
\(748\) | 198.560 | + | 273.294i | 0.265454 | + | 0.365367i | ||||
\(749\) | − | 302.713i | − | 0.404156i | ||||||
\(750\) | 298.320 | − | 323.633i | 0.397760 | − | 0.431511i | ||||
\(751\) | −14.6660 | −0.0195287 | −0.00976434 | − | 0.999952i | \(-0.503108\pi\) | ||||
−0.00976434 | + | 0.999952i | \(0.503108\pi\) | |||||||
\(752\) | −5.40363 | + | 3.92597i | −0.00718568 | + | 0.00522070i | ||||
\(753\) | 407.844 | + | 269.886i | 0.541625 | + | 0.358414i | ||||
\(754\) | 217.905 | − | 670.643i | 0.288999 | − | 0.889447i | ||||
\(755\) | 228.987 | + | 61.6070i | 0.303294 | + | 0.0815987i | ||||
\(756\) | −281.677 | − | 152.826i | −0.372588 | − | 0.202151i | ||||
\(757\) | 433.882i | 0.573160i | 0.958056 | + | 0.286580i | \(0.0925185\pi\) | ||||
−0.958056 | + | 0.286580i | \(0.907482\pi\) | |||||||
\(758\) | −148.848 | − | 458.107i | −0.196369 | − | 0.604363i | ||||
\(759\) | −481.305 | + | 382.928i | −0.634131 | + | 0.504516i | ||||
\(760\) | −1204.52 | + | 460.965i | −1.58490 | + | 0.606532i | ||||
\(761\) | −148.426 | − | 204.291i | −0.195041 | − | 0.268451i | 0.700284 | − | 0.713864i | \(-0.253057\pi\) |
−0.895325 | + | 0.445414i | \(0.853057\pi\) | |||||||
\(762\) | 514.580 | − | 409.401i | 0.675302 | − | 0.537272i | ||||
\(763\) | −483.600 | + | 665.618i | −0.633814 | + | 0.872370i | ||||
\(764\) | −383.079 | − | 527.263i | −0.501412 | − | 0.690135i | ||||
\(765\) | 334.373 | − | 162.747i | 0.437088 | − | 0.212742i | ||||
\(766\) | −155.486 | − | 112.967i | −0.202984 | − | 0.147477i | ||||
\(767\) | 249.508 | + | 767.905i | 0.325303 | + | 1.00118i | ||||
\(768\) | −693.270 | − | 192.184i | −0.902696 | − | 0.250240i | ||||
\(769\) | 110.577 | + | 340.322i | 0.143794 | + | 0.442552i | 0.996854 | − | 0.0792610i | \(-0.0252560\pi\) |
−0.853060 | + | 0.521813i | \(0.825256\pi\) | |||||||
\(770\) | −225.868 | + | 347.032i | −0.293336 | + | 0.450691i | ||||
\(771\) | 390.806 | − | 590.576i | 0.506882 | − | 0.765986i | ||||
\(772\) | −783.644 | − | 254.621i | −1.01508 | − | 0.329820i | ||||
\(773\) | 677.204 | − | 492.018i | 0.876073 | − | 0.636504i | −0.0561366 | − | 0.998423i | \(-0.517878\pi\) |
0.932210 | + | 0.361919i | \(0.117878\pi\) | |||||||
\(774\) | −69.9343 | + | 116.444i | −0.0903544 | + | 0.150445i | ||||
\(775\) | 191.579 | − | 892.361i | 0.247199 | − | 1.15143i | ||||
\(776\) | 65.8567i | 0.0848668i | ||||||||
\(777\) | 206.443 | − | 77.2100i | 0.265692 | − | 0.0993693i | ||||
\(778\) | −181.414 | − | 58.9449i | −0.233180 | − | 0.0757647i | ||||
\(779\) | 930.540 | + | 302.351i | 1.19453 | + | 0.388127i | ||||
\(780\) | −749.487 | − | 166.878i | −0.960880 | − | 0.213946i | ||||
\(781\) | −79.5090 | − | 244.704i | −0.101804 | − | 0.313321i | ||||
\(782\) | 127.570 | 0.163133 | ||||||||
\(783\) | 730.396 | + | 396.282i | 0.932817 | + | 0.506107i | ||||
\(784\) | −31.5123 | − | 22.8950i | −0.0401942 | − | 0.0292028i | ||||
\(785\) | −321.993 | + | 1196.82i | −0.410183 | + | 1.52461i | ||||
\(786\) | −168.674 | − | 450.998i | −0.214598 | − | 0.573789i | ||||
\(787\) | −95.1242 | + | 130.927i | −0.120869 | + | 0.166362i | −0.865164 | − | 0.501489i | \(-0.832786\pi\) |
0.744295 | + | 0.667851i | \(0.232786\pi\) | |||||||
\(788\) | 492.233 | + | 357.628i | 0.624661 | + | 0.453843i | ||||
\(789\) | −247.356 | + | 92.5113i | −0.313505 | + | 0.117251i | ||||
\(790\) | −11.2280 | − | 218.505i | −0.0142127 | − | 0.276589i | ||||
\(791\) | −95.4836 | + | 131.422i | −0.120713 | + | 0.166147i | ||||
\(792\) | −1062.59 | − | 245.090i | −1.34166 | − | 0.309457i | ||||
\(793\) | 527.654i | 0.665390i | ||||||||
\(794\) | −149.413 | + | 48.5473i | −0.188178 | + | 0.0611427i | ||||
\(795\) | −2.29731 | − | 5.29673i | −0.00288970 | − | 0.00666255i | ||||
\(796\) | 12.1040 | − | 37.2524i | 0.0152061 | − | 0.0467995i | ||||
\(797\) | 254.920 | − | 784.563i | 0.319849 | − | 0.984395i | −0.653863 | − | 0.756613i | \(-0.726853\pi\) |
0.973712 | − | 0.227782i | \(-0.0731473\pi\) | |||||||
\(798\) | −185.270 | − | 495.371i | −0.232167 | − | 0.620766i | ||||
\(799\) | 40.4066 | 0.0505714 | ||||||||
\(800\) | −707.031 | − | 410.129i | −0.883789 | − | 0.512661i | ||||
\(801\) | −297.295 | + | 495.012i | −0.371155 | + | 0.617993i | ||||
\(802\) | 311.292 | + | 428.457i | 0.388145 | + | 0.534236i | ||||
\(803\) | 307.967 | − | 947.826i | 0.383521 | − | 1.18036i | ||||
\(804\) | 383.762 | + | 253.950i | 0.477315 | + | 0.315858i | ||||
\(805\) | −106.381 | − | 277.978i | −0.132150 | − | 0.345315i | ||||
\(806\) | 795.523 | − | 258.481i | 0.987002 | − | 0.320696i | ||||
\(807\) | −96.4846 | + | 348.051i | −0.119560 | + | 0.431289i | ||||
\(808\) | 525.091 | − | 170.612i | 0.649865 | − | 0.211154i | ||||
\(809\) | 93.1201 | − | 128.169i | 0.115105 | − | 0.158429i | −0.747577 | − | 0.664175i | \(-0.768783\pi\) |
0.862682 | + | 0.505746i | \(0.168783\pi\) | |||||||
\(810\) | −186.006 | + | 437.461i | −0.229637 | + | 0.540076i | ||||
\(811\) | 1067.58 | − | 775.641i | 1.31637 | − | 0.956401i | 0.316403 | − | 0.948625i | \(-0.397525\pi\) |
0.999970 | − | 0.00777589i | \(-0.00247517\pi\) | |||||||
\(812\) | −295.527 | − | 214.713i | −0.363950 | − | 0.264425i | ||||
\(813\) | −498.237 | − | 626.237i | −0.612837 | − | 0.770280i | ||||
\(814\) | 240.274 | − | 174.569i | 0.295177 | − | 0.214459i | ||||
\(815\) | −490.456 | + | 396.337i | −0.601787 | + | 0.486303i | ||||
\(816\) | −21.0850 | − | 26.5019i | −0.0258395 | − | 0.0324779i | ||||
\(817\) | 405.820 | − | 131.859i | 0.496719 | − | 0.161394i | ||||
\(818\) | 22.9293 | 0.0280309 | ||||||||
\(819\) | 178.716 | − | 774.826i | 0.218212 | − | 0.946064i | ||||
\(820\) | 138.172 | + | 361.051i | 0.168503 | + | 0.440306i | ||||
\(821\) | 1045.16 | + | 339.592i | 1.27303 | + | 0.413632i | 0.866119 | − | 0.499837i | \(-0.166607\pi\) |
0.406908 | + | 0.913469i | \(0.366607\pi\) | |||||||
\(822\) | −281.907 | + | 426.010i | −0.342953 | + | 0.518261i | ||||
\(823\) | −281.353 | − | 387.249i | −0.341863 | − | 0.470534i | 0.603122 | − | 0.797649i | \(-0.293923\pi\) |
−0.944984 | + | 0.327116i | \(0.893923\pi\) | |||||||
\(824\) | − | 437.604i | − | 0.531073i | ||||||
\(825\) | −1035.98 | − | 541.846i | −1.25573 | − | 0.656783i | ||||
\(826\) | −219.740 | −0.266029 | ||||||||
\(827\) | 418.443 | − | 304.017i | 0.505977 | − | 0.367614i | −0.305318 | − | 0.952250i | \(-0.598763\pi\) |
0.811295 | + | 0.584636i | \(0.198763\pi\) | |||||||
\(828\) | 234.221 | − | 203.690i | 0.282876 | − | 0.246002i | ||||
\(829\) | 114.037 | − | 350.971i | 0.137560 | − | 0.423366i | −0.858419 | − | 0.512948i | \(-0.828553\pi\) |
0.995979 | + | 0.0895823i | \(0.0285532\pi\) | |||||||
\(830\) | 292.839 | + | 362.381i | 0.352819 | + | 0.436604i | ||||
\(831\) | 1245.56 | − | 54.5102i | 1.49887 | − | 0.0655960i | ||||
\(832\) | − | 642.441i | − | 0.772164i | ||||||
\(833\) | 72.8163 | + | 224.105i | 0.0874145 | + | 0.269034i | ||||
\(834\) | 9.06385 | + | 11.3924i | 0.0108679 | + | 0.0136600i | ||||
\(835\) | 2.49347 | + | 48.5246i | 0.00298620 | + | 0.0581133i | ||||
\(836\) | 797.346 | + | 1097.45i | 0.953763 | + | 1.31274i | ||||
\(837\) | 128.961 | + | 977.237i | 0.154076 | + | 1.16755i | ||||
\(838\) | 377.744 | − | 519.920i | 0.450768 | − | 0.620430i | ||||
\(839\) | −145.236 | − | 199.900i | −0.173106 | − | 0.238260i | 0.713645 | − | 0.700508i | \(-0.247043\pi\) |
−0.886751 | + | 0.462248i | \(0.847043\pi\) | |||||||
\(840\) | 268.253 | − | 454.450i | 0.319349 | − | 0.541012i | ||||
\(841\) | 85.9271 | + | 62.4297i | 0.102173 | + | 0.0742327i | ||||
\(842\) | 203.503 | + | 626.317i | 0.241690 | + | 0.743845i | ||||
\(843\) | 113.202 | − | 408.357i | 0.134285 | − | 0.484409i | ||||
\(844\) | 195.134 | + | 600.560i | 0.231201 | + | 0.711564i | ||||
\(845\) | −54.4097 | − | 1058.85i | −0.0643902 | − | 1.25308i | ||||
\(846\) | −38.9746 | + | 33.8942i | −0.0460693 | + | 0.0400640i | ||||
\(847\) | 525.137 | + | 170.627i | 0.619996 | + | 0.201449i | ||||
\(848\) | −0.425368 | + | 0.309048i | −0.000501613 | + | 0.000364443i | ||||
\(849\) | −158.605 | + | 572.140i | −0.186814 | + | 0.673899i | ||||
\(850\) | 98.1784 | + | 221.728i | 0.115504 | + | 0.260856i | ||||
\(851\) | 213.488i | 0.250867i | ||||||||
\(852\) | 45.4874 | + | 121.624i | 0.0533889 | + | 0.142751i | ||||
\(853\) | −5.05983 | − | 1.64404i | −0.00593181 | − | 0.00192736i | 0.306050 | − | 0.952016i | \(-0.400993\pi\) |
−0.311981 | + | 0.950088i | \(0.600993\pi\) | |||||||
\(854\) | −136.573 | − | 44.3751i | −0.159921 | − | 0.0519615i | ||||
\(855\) | 1342.72 | − | 653.536i | 1.57043 | − | 0.764370i | ||||
\(856\) | 160.645 | + | 494.416i | 0.187670 | + | 0.577589i | ||||
\(857\) | −941.563 | −1.09867 | −0.549337 | − | 0.835601i | \(-0.685120\pi\) | ||||
−0.549337 | + | 0.835601i | \(0.685120\pi\) | |||||||
\(858\) | −46.8466 | − | 1070.45i | −0.0545998 | − | 1.24761i | ||||
\(859\) | −131.977 | − | 95.8872i | −0.153641 | − | 0.111627i | 0.508309 | − | 0.861175i | \(-0.330271\pi\) |
−0.661950 | + | 0.749548i | \(0.730271\pi\) | |||||||
\(860\) | 141.302 | + | 91.9675i | 0.164305 | + | 0.106939i | ||||
\(861\) | −374.979 | + | 140.243i | −0.435516 | + | 0.162884i | ||||
\(862\) | −313.915 | + | 432.067i | −0.364171 | + | 0.501238i | ||||
\(863\) | 1130.37 | + | 821.258i | 1.30981 | + | 0.951632i | 1.00000 | 0.000833301i | \(0.000265248\pi\) | |
0.309809 | + | 0.950799i | \(0.399735\pi\) | |||||||
\(864\) | 868.030 | + | 160.604i | 1.00466 | + | 0.185884i | ||||
\(865\) | −1183.86 | + | 453.058i | −1.36863 | + | 0.523767i | ||||
\(866\) | 578.614 | − | 796.394i | 0.668145 | − | 0.919623i | ||||
\(867\) | −28.9492 | − | 661.490i | −0.0333901 | − | 0.762964i | ||||
\(868\) | − | 433.313i | − | 0.499208i | ||||||
\(869\) | −552.710 | + | 179.586i | −0.636030 | + | 0.206659i | ||||
\(870\) | −275.442 | + | 466.629i | −0.316600 | + | 0.536355i | ||||
\(871\) | −352.848 | + | 1085.96i | −0.405107 | + | 1.24679i | ||||
\(872\) | 436.622 | − | 1343.78i | 0.500713 | − | 1.54104i | ||||
\(873\) | −6.66150 | − | 75.9620i | −0.00763058 | − | 0.0870126i | ||||
\(874\) | 512.276 | 0.586128 | ||||||||
\(875\) | 401.279 | − | 398.832i | 0.458604 | − | 0.455808i | ||||
\(876\) | −134.361 | + | 484.683i | −0.153380 | + | 0.553291i | ||||
\(877\) | 568.890 | + | 783.010i | 0.648678 | + | 0.892828i | 0.999041 | − | 0.0437856i | \(-0.0139418\pi\) |
−0.350363 | + | 0.936614i | \(0.613942\pi\) | |||||||
\(878\) | −198.830 | + | 611.935i | −0.226458 | + | 0.696965i | ||||
\(879\) | 113.965 | − | 172.221i | 0.129653 | − | 0.195929i | ||||
\(880\) | −27.6614 | + | 102.815i | −0.0314334 | + | 0.116835i | ||||
\(881\) | −1217.78 | + | 395.680i | −1.38227 | + | 0.449126i | −0.903414 | − | 0.428770i | \(-0.858947\pi\) |
−0.478853 | + | 0.877895i | \(0.658947\pi\) | |||||||
\(882\) | −258.222 | − | 155.083i | −0.292768 | − | 0.175831i | ||||
\(883\) | 142.939 | − | 46.4437i | 0.161879 | − | 0.0525976i | −0.226956 | − | 0.973905i | \(-0.572878\pi\) |
0.388835 | + | 0.921307i | \(0.372878\pi\) | |||||||
\(884\) | 248.647 | − | 342.234i | 0.281275 | − | 0.387142i | ||||
\(885\) | −58.9006 | − | 617.641i | −0.0665544 | − | 0.697900i | ||||
\(886\) | −731.195 | + | 531.244i | −0.825276 | + | 0.599598i | ||||
\(887\) | 186.253 | + | 135.321i | 0.209980 | + | 0.152560i | 0.687805 | − | 0.725896i | \(-0.258574\pi\) |
−0.477824 | + | 0.878455i | \(0.658574\pi\) | |||||||
\(888\) | −296.206 | + | 235.662i | −0.333565 | + | 0.265385i | ||||
\(889\) | 683.811 | − | 496.818i | 0.769191 | − | 0.558850i | ||||
\(890\) | −315.572 | − | 205.393i | −0.354576 | − | 0.230778i | ||||
\(891\) | 1250.43 | + | 175.214i | 1.40340 | + | 0.196649i | ||||
\(892\) | 553.289 | − | 179.775i | 0.620279 | − | 0.201541i | ||||
\(893\) | 162.258 | 0.181700 | ||||||||
\(894\) | 553.236 | − | 24.2116i | 0.618832 | − | 0.0270823i | ||||
\(895\) | −1488.19 | − | 968.603i | −1.66279 | − | 1.08224i | ||||
\(896\) | −396.672 | − | 128.887i | −0.442715 | − | 0.143847i | ||||
\(897\) | 642.303 | + | 425.037i | 0.716057 | + | 0.473843i | ||||
\(898\) | −353.535 | − | 486.599i | −0.393692 | − | 0.541870i | ||||
\(899\) | 1123.59i | 1.24982i | ||||||||
\(900\) | 534.288 | + | 250.336i | 0.593653 | + | 0.278151i | ||||
\(901\) | 3.18076 | 0.00353026 | ||||||||
\(902\) | −436.430 | + | 317.085i | −0.483847 | + | 0.351535i | ||||
\(903\) | −96.3510 | + | 145.603i | −0.106701 | + | 0.161244i | ||||
\(904\) | 86.2081 | − | 265.321i | 0.0953629 | − | 0.293497i | ||||
\(905\) | 12.2757 | + | 238.894i | 0.0135643 | + | 0.263971i | ||||
\(906\) | −7.30138 | − | 166.837i | −0.00805892 | − | 0.184147i | ||||
\(907\) | − | 410.452i | − | 0.452539i | −0.974065 | − | 0.226269i | \(-0.927347\pi\) | ||
0.974065 | − | 0.226269i | \(-0.0726529\pi\) | |||||||
\(908\) | 23.8899 | + | 73.5256i | 0.0263105 | + | 0.0809753i | ||||
\(909\) | −588.406 | + | 249.906i | −0.647311 | + | 0.274924i | ||||
\(910\) | 500.707 | + | 134.711i | 0.550227 | + | 0.148034i | ||||
\(911\) | −292.830 | − | 403.046i | −0.321438 | − | 0.442422i | 0.617467 | − | 0.786597i | \(-0.288159\pi\) |
−0.938906 | + | 0.344175i | \(0.888159\pi\) | |||||||
\(912\) | −84.6700 | − | 106.422i | −0.0928399 | − | 0.116691i | ||||
\(913\) | 727.412 | − | 1001.20i | 0.796728 | − | 1.09660i | ||||
\(914\) | 261.534 | + | 359.971i | 0.286143 | + | 0.393842i | ||||
\(915\) | 88.1210 | − | 395.771i | 0.0963071 | − | 0.432536i | ||||
\(916\) | −440.811 | − | 320.268i | −0.481235 | − | 0.349637i | ||||
\(917\) | −191.259 | − | 588.634i | −0.208570 | − | 0.641912i | ||||
\(918\) | −180.332 | − | 189.914i | −0.196440 | − | 0.206877i | ||||
\(919\) | −330.073 | − | 1015.86i | −0.359165 | − | 1.10540i | −0.953555 | − | 0.301219i | \(-0.902606\pi\) |
0.594390 | − | 0.804177i | \(-0.297394\pi\) | |||||||
\(920\) | 321.270 | + | 397.563i | 0.349206 | + | 0.432133i | ||||
\(921\) | −353.414 | − | 233.868i | −0.383729 | − | 0.253928i | ||||
\(922\) | −236.831 | − | 76.9509i | −0.256866 | − | 0.0834609i | ||||
\(923\) | −260.666 | + | 189.385i | −0.282412 | + | 0.205184i | ||||
\(924\) | −534.882 | − | 148.277i | −0.578877 | − | 0.160473i | ||||
\(925\) | −371.060 | + | 164.301i | −0.401146 | + | 0.177623i | ||||
\(926\) | 463.226i | 0.500244i | ||||||||
\(927\) | 44.2643 | + | 504.752i | 0.0477500 | + | 0.544500i | ||||
\(928\) | 956.996 | + | 310.947i | 1.03125 | + | 0.335072i | ||||
\(929\) | −1704.04 | − | 553.677i | −1.83428 | − | 0.595992i | −0.998929 | − | 0.0462700i | \(-0.985267\pi\) |
−0.835347 | − | 0.549723i | \(-0.814733\pi\) | |||||||
\(930\) | −639.855 | + | 61.0190i | −0.688016 | + | 0.0656118i | ||||
\(931\) | 292.404 | + | 899.928i | 0.314075 | + | 0.966625i | ||||
\(932\) | −318.215 | −0.341433 | ||||||||
\(933\) | −1619.70 | + | 70.8838i | −1.73601 | + | 0.0759741i | ||||
\(934\) | −855.203 | − | 621.341i | −0.915635 | − | 0.665248i | ||||
\(935\) | 500.973 | − | 404.835i | 0.535800 | − | 0.432979i | ||||
\(936\) | 119.296 | + | 1360.35i | 0.127453 | + | 1.45337i | ||||
\(937\) | 776.352 | − | 1068.56i | 0.828550 | − | 1.14040i | −0.159641 | − | 0.987175i | \(-0.551034\pi\) |
0.988191 | − | 0.153227i | \(-0.0489665\pi\) | |||||||
\(938\) | −251.403 | − | 182.655i | −0.268020 | − | 0.194728i | ||||
\(939\) | −143.959 | − | 384.916i | −0.153311 | − | 0.409921i | ||||
\(940\) | 40.2949 | + | 49.8639i | 0.0428669 | + | 0.0530467i | ||||
\(941\) | 619.997 | − | 853.353i | 0.658871 | − | 0.906858i | −0.340573 | − | 0.940218i | \(-0.610621\pi\) |
0.999443 | + | 0.0333605i | \(0.0106209\pi\) | |||||||
\(942\) | 871.985 | − | 38.1612i | 0.925674 | − | 0.0405108i | ||||
\(943\) | − | 387.776i | − | 0.411215i | ||||||
\(944\) | −53.7377 | + | 17.4604i | −0.0569255 | + | 0.0184962i | ||||
\(945\) | −263.447 | + | 551.317i | −0.278780 | + | 0.583404i | ||||
\(946\) | −72.7004 | + | 223.749i | −0.0768503 | + | 0.236521i | ||||
\(947\) | −163.200 | + | 502.277i | −0.172333 | + | 0.530388i | −0.999502 | − | 0.0315667i | \(-0.989950\pi\) |
0.827168 | + | 0.561954i | \(0.189950\pi\) | |||||||
\(948\) | 274.710 | − | 102.742i | 0.289778 | − | 0.108378i | ||||
\(949\) | −1248.00 | −1.31507 | ||||||||
\(950\) | 394.249 | + | 890.379i | 0.414999 | + | 0.937241i | ||||
\(951\) | 792.417 | + | 219.669i | 0.833246 | + | 0.230988i | ||||
\(952\) | 170.889 | + | 235.208i | 0.179505 | + | 0.247068i | ||||
\(953\) | −215.591 | + | 663.520i | −0.226223 | + | 0.696244i | 0.771942 | + | 0.635693i | \(0.219286\pi\) |
−0.998165 | + | 0.0605505i | \(0.980714\pi\) | |||||||
\(954\) | −3.06804 | + | 2.66811i | −0.00321598 | + | 0.00279676i | ||||
\(955\) | −966.521 | + | 781.044i | −1.01206 | + | 0.817847i | ||||
\(956\) | −273.124 | + | 88.7435i | −0.285695 | + | 0.0928279i | ||||
\(957\) | 1386.97 | + | 384.486i | 1.44928 | + | 0.401762i | ||||
\(958\) | 636.916 | − | 206.947i | 0.664840 | − | 0.216019i | ||||
\(959\) | −385.956 | + | 531.222i | −0.402456 | + | 0.553934i | ||||
\(960\) | −107.291 | + | 481.867i | −0.111761 | + | 0.501944i | ||||
\(961\) | −300.806 | + | 218.549i | −0.313014 | + | 0.227418i | ||||
\(962\) | −300.885 | − | 218.605i | −0.312770 | − | 0.227241i | ||||
\(963\) | −235.306 | − | 554.032i | −0.244347 | − | 0.575318i | ||||
\(964\) | 460.213 | − | 334.364i | 0.477399 | − | 0.346851i | ||||
\(965\) | −408.167 | + | 1517.11i | −0.422971 | + | 1.57214i | ||||
\(966\) | −164.029 | + | 130.502i | −0.169802 | + | 0.135095i | ||||
\(967\) | −1001.44 | + | 325.388i | −1.03562 | + | 0.336492i | −0.777009 | − | 0.629490i | \(-0.783264\pi\) |
−0.258609 | + | 0.965982i | \(0.583264\pi\) | |||||||
\(968\) | −948.247 | −0.979594 | ||||||||
\(969\) | 35.9704 | + | 821.925i | 0.0371212 | + | 0.848220i | ||||
\(970\) | 49.6576 | − | 2.55169i | 0.0511934 | − | 0.00263061i | ||||
\(971\) | 220.610 | + | 71.6804i | 0.227198 | + | 0.0738212i | 0.420404 | − | 0.907337i | \(-0.361888\pi\) |
−0.193206 | + | 0.981158i | \(0.561888\pi\) | |||||||
\(972\) | −634.326 | − | 60.7507i | −0.652599 | − | 0.0625007i | ||||
\(973\) | 10.9992 | + | 15.1391i | 0.0113044 | + | 0.0155592i | ||||
\(974\) | − | 914.176i | − | 0.938579i | ||||||
\(975\) | −244.431 | + | 1443.49i | −0.250698 | + | 1.48050i | ||||
\(976\) | −36.9250 | −0.0378330 | ||||||||
\(977\) | 375.775 | − | 273.017i | 0.384622 | − | 0.279444i | −0.378626 | − | 0.925550i | \(-0.623603\pi\) |
0.763248 | + | 0.646106i | \(0.223603\pi\) | |||||||
\(978\) | 370.338 | + | 245.067i | 0.378668 | + | 0.250579i | ||||
\(979\) | −309.054 | + | 951.171i | −0.315684 | + | 0.971574i | ||||
\(980\) | −203.943 | + | 313.345i | −0.208105 | + | 0.319740i | ||||
\(981\) | −367.693 | + | 1594.14i | −0.374814 | + | 1.62502i | ||||
\(982\) | 611.763i | 0.622976i | ||||||||
\(983\) | −377.895 | − | 1163.04i | −0.384431 | − | 1.18316i | −0.936892 | − | 0.349618i | \(-0.886311\pi\) |
0.552462 | − | 0.833538i | \(-0.313689\pi\) | |||||||
\(984\) | 538.023 | − | 428.053i | 0.546771 | − | 0.435013i | ||||
\(985\) | 632.825 | − | 972.293i | 0.642461 | − | 0.987100i | ||||
\(986\) | −175.468 | − | 241.511i | −0.177960 | − | 0.244941i | ||||
\(987\) | −51.9545 | + | 41.3352i | −0.0526388 | + | 0.0418796i | ||||
\(988\) | 998.480 | − | 1374.29i | 1.01061 | − | 1.39098i | ||||
\(989\) | −99.4024 | − | 136.816i | −0.100508 | − | 0.138337i | ||||
\(990\) | −143.632 | + | 810.719i | −0.145083 | + | 0.818908i | ||||
\(991\) | −1298.79 | − | 943.625i | −1.31058 | − | 0.952195i | −0.999999 | − | 0.00164927i | \(-0.999475\pi\) |
−0.310585 | − | 0.950546i | \(-0.600525\pi\) | |||||||
\(992\) | 368.848 | + | 1135.20i | 0.371823 | + | 1.14435i | ||||
\(993\) | −268.800 | − | 74.5153i | −0.270695 | − | 0.0750405i | ||||
\(994\) | −27.0967 | − | 83.3951i | −0.0272603 | − | 0.0838985i | ||||
\(995\) | −72.1196 | − | 19.4032i | −0.0724820 | − | 0.0195007i | ||||
\(996\) | −344.665 | + | 520.847i | −0.346049 | + | 0.522939i | ||||
\(997\) | 372.060 | + | 120.890i | 0.373179 | + | 0.121253i | 0.489601 | − | 0.871947i | \(-0.337142\pi\) |
−0.116422 | + | 0.993200i | \(0.537142\pi\) | |||||||
\(998\) | 88.2954 | − | 64.1504i | 0.0884723 | − | 0.0642789i | ||||
\(999\) | 317.819 | − | 301.785i | 0.318137 | − | 0.302087i |
(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 | 75.3.h.a.14.12 | yes | 72 | |
3.2 | odd | 2 | inner | 75.3.h.a.14.7 | ✓ | 72 | |
5.2 | odd | 4 | 375.3.j.b.176.24 | 144 | |||
5.3 | odd | 4 | 375.3.j.b.176.13 | 144 | |||
5.4 | even | 2 | 375.3.h.a.74.7 | 72 | |||
15.2 | even | 4 | 375.3.j.b.176.14 | 144 | |||
15.8 | even | 4 | 375.3.j.b.176.23 | 144 | |||
15.14 | odd | 2 | 375.3.h.a.74.12 | 72 | |||
25.9 | even | 10 | inner | 75.3.h.a.59.7 | yes | 72 | |
25.12 | odd | 20 | 375.3.j.b.326.14 | 144 | |||
25.13 | odd | 20 | 375.3.j.b.326.23 | 144 | |||
25.16 | even | 5 | 375.3.h.a.299.12 | 72 | |||
75.38 | even | 20 | 375.3.j.b.326.13 | 144 | |||
75.41 | odd | 10 | 375.3.h.a.299.7 | 72 | |||
75.59 | odd | 10 | inner | 75.3.h.a.59.12 | yes | 72 | |
75.62 | even | 20 | 375.3.j.b.326.24 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
75.3.h.a.14.7 | ✓ | 72 | 3.2 | odd | 2 | inner | |
75.3.h.a.14.12 | yes | 72 | 1.1 | even | 1 | trivial | |
75.3.h.a.59.7 | yes | 72 | 25.9 | even | 10 | inner | |
75.3.h.a.59.12 | yes | 72 | 75.59 | odd | 10 | inner | |
375.3.h.a.74.7 | 72 | 5.4 | even | 2 | |||
375.3.h.a.74.12 | 72 | 15.14 | odd | 2 | |||
375.3.h.a.299.7 | 72 | 75.41 | odd | 10 | |||
375.3.h.a.299.12 | 72 | 25.16 | even | 5 | |||
375.3.j.b.176.13 | 144 | 5.3 | odd | 4 | |||
375.3.j.b.176.14 | 144 | 15.2 | even | 4 | |||
375.3.j.b.176.23 | 144 | 15.8 | even | 4 | |||
375.3.j.b.176.24 | 144 | 5.2 | odd | 4 | |||
375.3.j.b.326.13 | 144 | 75.38 | even | 20 | |||
375.3.j.b.326.14 | 144 | 25.12 | odd | 20 | |||
375.3.j.b.326.23 | 144 | 25.13 | odd | 20 | |||
375.3.j.b.326.24 | 144 | 75.62 | even | 20 |