Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,5,Mod(23,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.23");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.l (of order \(18\), degree \(6\), 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: | \(7.85611719437\) |
Analytic rank: | \(0\) |
Dimension: | \(228\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 23.4 | ||
Character | \(\chi\) | \(=\) | 76.23 |
Dual form | 76.5.l.a.43.4 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.86299 | − | 1.03792i | −0.965749 | − | 0.259480i | ||||
\(3\) | 13.6381 | − | 2.40477i | 1.51535 | − | 0.267196i | 0.646744 | − | 0.762707i | \(-0.276130\pi\) |
0.868602 | + | 0.495511i | \(0.165019\pi\) | |||||||
\(4\) | 13.8454 | + | 8.01895i | 0.865340 | + | 0.501185i | ||||
\(5\) | 29.8632 | − | 25.0582i | 1.19453 | − | 1.00233i | 0.194759 | − | 0.980851i | \(-0.437608\pi\) |
0.999769 | − | 0.0214769i | \(-0.00683685\pi\) | |||||||
\(6\) | −55.1799 | − | 4.86566i | −1.53278 | − | 0.135157i | ||||
\(7\) | 54.4581 | + | 31.4414i | 1.11139 | + | 0.641661i | 0.939189 | − | 0.343400i | \(-0.111579\pi\) |
0.172201 | + | 0.985062i | \(0.444912\pi\) | |||||||
\(8\) | −45.1618 | − | 45.3476i | −0.705654 | − | 0.708557i | ||||
\(9\) | 104.100 | − | 37.8894i | 1.28519 | − | 0.467770i | ||||
\(10\) | −141.370 | + | 65.8041i | −1.41370 | + | 0.658041i | ||||
\(11\) | −116.509 | + | 67.2664i | −0.962883 | + | 0.555920i | −0.897059 | − | 0.441911i | \(-0.854301\pi\) |
−0.0658235 | + | 0.997831i | \(0.520967\pi\) | |||||||
\(12\) | 208.109 | + | 76.0683i | 1.44520 | + | 0.528252i | ||||
\(13\) | −36.2645 | + | 205.666i | −0.214583 | + | 1.21696i | 0.667046 | + | 0.745016i | \(0.267558\pi\) |
−0.881629 | + | 0.471943i | \(0.843553\pi\) | |||||||
\(14\) | −177.738 | − | 177.981i | −0.906825 | − | 0.908067i | ||||
\(15\) | 347.019 | − | 413.561i | 1.54230 | − | 1.83805i | ||||
\(16\) | 127.393 | + | 222.052i | 0.497628 | + | 0.867391i | ||||
\(17\) | −331.637 | − | 120.706i | −1.14753 | − | 0.417667i | −0.302904 | − | 0.953021i | \(-0.597956\pi\) |
−0.844628 | + | 0.535354i | \(0.820178\pi\) | |||||||
\(18\) | −441.464 | + | 38.3188i | −1.36254 | + | 0.118268i | ||||
\(19\) | 248.486 | − | 261.870i | 0.688327 | − | 0.725401i | ||||
\(20\) | 614.410 | − | 107.470i | 1.53602 | − | 0.268676i | ||||
\(21\) | 818.315 | + | 297.842i | 1.85559 | + | 0.675380i | ||||
\(22\) | 519.890 | − | 138.923i | 1.07415 | − | 0.287031i | ||||
\(23\) | 246.839 | − | 294.172i | 0.466615 | − | 0.556090i | −0.480496 | − | 0.876997i | \(-0.659543\pi\) |
0.947111 | + | 0.320907i | \(0.103988\pi\) | |||||||
\(24\) | −724.973 | − | 509.852i | −1.25863 | − | 0.885160i | ||||
\(25\) | 155.367 | − | 881.132i | 0.248588 | − | 1.40981i | ||||
\(26\) | 353.554 | − | 756.847i | 0.523009 | − | 1.11960i | ||||
\(27\) | 357.169 | − | 206.212i | 0.489944 | − | 0.282869i | ||||
\(28\) | 501.870 | + | 872.017i | 0.640140 | + | 1.11227i | ||||
\(29\) | −739.926 | + | 269.311i | −0.879817 | + | 0.320227i | −0.742136 | − | 0.670250i | \(-0.766187\pi\) |
−0.137681 | + | 0.990477i | \(0.543965\pi\) | |||||||
\(30\) | −1769.77 | + | 1237.41i | −1.96642 | + | 1.37489i | ||||
\(31\) | −149.916 | − | 86.5541i | −0.156000 | − | 0.0900667i | 0.419968 | − | 0.907539i | \(-0.362041\pi\) |
−0.575968 | + | 0.817472i | \(0.695375\pi\) | |||||||
\(32\) | −261.645 | − | 990.009i | −0.255513 | − | 0.966806i | ||||
\(33\) | −1427.20 | + | 1197.56i | −1.31056 | + | 1.09969i | ||||
\(34\) | 1155.83 | + | 810.498i | 0.999851 | + | 0.701123i | ||||
\(35\) | 2414.16 | − | 425.681i | 1.97074 | − | 0.347495i | ||||
\(36\) | 1745.15 | + | 310.179i | 1.34656 | + | 0.239336i | ||||
\(37\) | −1117.67 | −0.816417 | −0.408208 | − | 0.912889i | \(-0.633846\pi\) | ||||
−0.408208 | + | 0.912889i | \(0.633846\pi\) | |||||||
\(38\) | −1231.70 | + | 753.692i | −0.852978 | + | 0.521948i | ||||
\(39\) | 2892.11i | 1.90145i | ||||||||
\(40\) | −2485.01 | − | 222.551i | −1.55313 | − | 0.139094i | ||||
\(41\) | 308.470 | + | 1749.42i | 0.183504 | + | 1.04070i | 0.927863 | + | 0.372921i | \(0.121644\pi\) |
−0.744359 | + | 0.667779i | \(0.767245\pi\) | |||||||
\(42\) | −2852.01 | − | 1999.91i | −1.61679 | − | 1.13374i | ||||
\(43\) | 547.604 | + | 652.609i | 0.296162 | + | 0.352952i | 0.893521 | − | 0.449022i | \(-0.148228\pi\) |
−0.597359 | + | 0.801974i | \(0.703783\pi\) | |||||||
\(44\) | −2152.52 | − | 2.94554i | −1.11184 | − | 0.00152146i | ||||
\(45\) | 2159.32 | − | 3740.06i | 1.06633 | − | 1.84694i | ||||
\(46\) | −1258.87 | + | 880.184i | −0.594927 | + | 0.415966i | ||||
\(47\) | −1405.80 | − | 3862.39i | −0.636394 | − | 1.74848i | −0.662766 | − | 0.748827i | \(-0.730617\pi\) |
0.0263711 | − | 0.999652i | \(-0.491605\pi\) | |||||||
\(48\) | 2271.38 | + | 2722.02i | 0.985842 | + | 1.18143i | ||||
\(49\) | 776.624 | + | 1345.15i | 0.323459 | + | 0.560247i | ||||
\(50\) | −1514.73 | + | 3242.55i | −0.605891 | + | 1.29702i | ||||
\(51\) | −4813.17 | − | 848.691i | −1.85051 | − | 0.326294i | ||||
\(52\) | −2151.33 | + | 2556.74i | −0.795608 | + | 0.945539i | ||||
\(53\) | 361.256 | + | 303.130i | 0.128607 | + | 0.107914i | 0.704822 | − | 0.709384i | \(-0.251027\pi\) |
−0.576216 | + | 0.817298i | \(0.695471\pi\) | |||||||
\(54\) | −1593.77 | + | 425.881i | −0.546561 | + | 0.146050i | ||||
\(55\) | −1793.75 | + | 4928.29i | −0.592976 | + | 1.62919i | ||||
\(56\) | −1033.64 | − | 3889.50i | −0.329603 | − | 1.24027i | ||||
\(57\) | 2759.14 | − | 4168.96i | 0.849229 | − | 1.28315i | ||||
\(58\) | 3137.85 | − | 272.363i | 0.932774 | − | 0.0809641i | ||||
\(59\) | 818.004 | − | 2247.45i | 0.234991 | − | 0.645633i | −0.765008 | − | 0.644021i | \(-0.777265\pi\) |
0.999999 | − | 0.00161161i | \(-0.000512991\pi\) | |||||||
\(60\) | 8120.95 | − | 2943.21i | 2.25582 | − | 0.817557i | ||||
\(61\) | −2124.12 | − | 1782.35i | −0.570847 | − | 0.478998i | 0.311080 | − | 0.950384i | \(-0.399309\pi\) |
−0.881927 | + | 0.471386i | \(0.843754\pi\) | |||||||
\(62\) | 489.289 | + | 489.959i | 0.127286 | + | 0.127461i | ||||
\(63\) | 6860.39 | + | 1209.67i | 1.72849 | + | 0.304780i | ||||
\(64\) | −16.8150 | + | 4095.97i | −0.00410522 | + | 0.999992i | ||||
\(65\) | 4070.65 | + | 7050.57i | 0.963467 | + | 1.66877i | ||||
\(66\) | 6756.24 | − | 3144.86i | 1.55102 | − | 0.721961i | ||||
\(67\) | −411.697 | − | 1131.13i | −0.0917123 | − | 0.251977i | 0.885352 | − | 0.464921i | \(-0.153917\pi\) |
−0.977065 | + | 0.212943i | \(0.931695\pi\) | |||||||
\(68\) | −3623.72 | − | 4330.61i | −0.783677 | − | 0.936550i | ||||
\(69\) | 2659.01 | − | 4605.54i | 0.558498 | − | 0.967347i | ||||
\(70\) | −9767.70 | − | 861.298i | −1.99341 | − | 0.175775i | ||||
\(71\) | 4312.08 | + | 5138.94i | 0.855402 | + | 1.01943i | 0.999554 | + | 0.0298724i | \(0.00951009\pi\) |
−0.144152 | + | 0.989556i | \(0.546045\pi\) | |||||||
\(72\) | −6419.55 | − | 3009.54i | −1.23834 | − | 0.580544i | ||||
\(73\) | 562.530 | + | 3190.27i | 0.105560 | + | 0.598662i | 0.990995 | + | 0.133898i | \(0.0427495\pi\) |
−0.885435 | + | 0.464763i | \(0.846139\pi\) | |||||||
\(74\) | 4317.57 | + | 1160.06i | 0.788453 | + | 0.211844i | ||||
\(75\) | − | 12390.6i | − | 2.20277i | ||||||
\(76\) | 5540.32 | − | 1633.10i | 0.959197 | − | 0.282740i | ||||
\(77\) | −8459.80 | −1.42685 | ||||||||
\(78\) | 3001.77 | − | 11172.2i | 0.493388 | − | 1.83632i | ||||
\(79\) | −3478.29 | + | 613.316i | −0.557329 | + | 0.0982721i | −0.445216 | − | 0.895423i | \(-0.646873\pi\) |
−0.112113 | + | 0.993695i | \(0.535762\pi\) | |||||||
\(80\) | 9368.58 | + | 3438.95i | 1.46384 | + | 0.537336i | ||||
\(81\) | −2498.70 | + | 2096.66i | −0.380842 | + | 0.319564i | ||||
\(82\) | 624.139 | − | 7078.16i | 0.0928225 | − | 1.05267i | ||||
\(83\) | 147.417 | + | 85.1113i | 0.0213989 | + | 0.0123547i | 0.510661 | − | 0.859782i | \(-0.329401\pi\) |
−0.489262 | + | 0.872137i | \(0.662734\pi\) | |||||||
\(84\) | 8941.55 | + | 10685.8i | 1.26723 | + | 1.51443i | ||||
\(85\) | −12928.4 | + | 4705.55i | −1.78940 | + | 0.651288i | ||||
\(86\) | −1438.03 | − | 3089.39i | −0.194434 | − | 0.417711i | ||||
\(87\) | −9443.56 | + | 5452.24i | −1.24766 | + | 0.720339i | ||||
\(88\) | 8312.12 | + | 2245.52i | 1.07336 | + | 0.289969i | ||||
\(89\) | −243.708 | + | 1382.14i | −0.0307673 | + | 0.174490i | −0.996319 | − | 0.0857203i | \(-0.972681\pi\) |
0.965552 | + | 0.260210i | \(0.0837920\pi\) | |||||||
\(90\) | −12223.3 | + | 12206.6i | −1.50905 | + | 1.50699i | ||||
\(91\) | −8441.33 | + | 10060.0i | −1.01936 | + | 1.21483i | ||||
\(92\) | 5776.55 | − | 2093.55i | 0.682485 | − | 0.247347i | ||||
\(93\) | −2252.71 | − | 819.921i | −0.260460 | − | 0.0947995i | ||||
\(94\) | 1421.73 | + | 16379.5i | 0.160902 | + | 1.85372i | ||||
\(95\) | 858.605 | − | 14046.9i | 0.0951363 | − | 1.55644i | ||||
\(96\) | −5949.09 | − | 12872.7i | −0.645518 | − | 1.39677i | ||||
\(97\) | 352.351 | + | 128.245i | 0.0374483 | + | 0.0136301i | 0.360676 | − | 0.932691i | \(-0.382546\pi\) |
−0.323228 | + | 0.946321i | \(0.604768\pi\) | |||||||
\(98\) | −1603.93 | − | 6002.39i | −0.167007 | − | 0.624988i | ||||
\(99\) | −9579.90 | + | 11416.9i | −0.977441 | + | 1.16487i | ||||
\(100\) | 9216.88 | − | 10953.8i | 0.921688 | − | 1.09538i | ||||
\(101\) | 2528.45 | − | 14339.6i | 0.247863 | − | 1.40570i | −0.565885 | − | 0.824484i | \(-0.691465\pi\) |
0.813748 | − | 0.581218i | \(-0.197424\pi\) | |||||||
\(102\) | 17712.4 | + | 8274.17i | 1.70246 | + | 0.795287i | ||||
\(103\) | −1609.74 | + | 929.382i | −0.151733 | + | 0.0876032i | −0.573944 | − | 0.818894i | \(-0.694587\pi\) |
0.422211 | + | 0.906498i | \(0.361254\pi\) | |||||||
\(104\) | 10964.2 | − | 7643.75i | 1.01371 | − | 0.706708i | ||||
\(105\) | 31900.9 | − | 11611.0i | 2.89351 | − | 1.05315i | ||||
\(106\) | −1080.91 | − | 1545.95i | −0.0962003 | − | 0.137589i | ||||
\(107\) | 17669.4 | + | 10201.4i | 1.54331 | + | 0.891032i | 0.998627 | + | 0.0523917i | \(0.0166844\pi\) |
0.544686 | + | 0.838640i | \(0.316649\pi\) | |||||||
\(108\) | 6598.76 | + | 9.02983i | 0.565738 | + | 0.000774163i | ||||
\(109\) | −5923.73 | + | 4970.60i | −0.498588 | + | 0.418365i | −0.857092 | − | 0.515163i | \(-0.827731\pi\) |
0.358504 | + | 0.933528i | \(0.383287\pi\) | |||||||
\(110\) | 12044.4 | − | 17176.2i | 0.995406 | − | 1.41952i | ||||
\(111\) | −15243.0 | + | 2687.75i | −1.23715 | + | 0.218144i | ||||
\(112\) | −44.0573 | + | 16097.9i | −0.00351222 | + | 1.28332i | ||||
\(113\) | −13452.2 | −1.05350 | −0.526752 | − | 0.850019i | \(-0.676590\pi\) | ||||
−0.526752 | + | 0.850019i | \(0.676590\pi\) | |||||||
\(114\) | −14985.6 | + | 13240.9i | −1.15309 | + | 1.01884i | ||||
\(115\) | − | 14970.3i | − | 1.13197i | ||||||
\(116\) | −12404.2 | − | 2204.70i | −0.921834 | − | 0.163845i | ||||
\(117\) | 4017.42 | + | 22783.9i | 0.293478 | + | 1.66440i | ||||
\(118\) | −5492.62 | + | 7832.86i | −0.394471 | + | 0.562544i | ||||
\(119\) | −14265.1 | − | 17000.5i | −1.00735 | − | 1.20052i | ||||
\(120\) | −34426.0 | + | 2940.69i | −2.39069 | + | 0.204215i | ||||
\(121\) | 1729.03 | − | 2994.77i | 0.118095 | − | 0.204547i | ||||
\(122\) | 6355.53 | + | 9089.87i | 0.427004 | + | 0.610714i | ||||
\(123\) | 8413.88 | + | 23117.0i | 0.556143 | + | 1.52799i | ||||
\(124\) | −1381.58 | − | 2400.55i | −0.0898531 | − | 0.156123i | ||||
\(125\) | −5257.42 | − | 9106.12i | −0.336475 | − | 0.582792i | ||||
\(126\) | −25246.1 | − | 11793.5i | −1.59021 | − | 0.742850i | ||||
\(127\) | 8901.16 | + | 1569.52i | 0.551873 | + | 0.0973101i | 0.442629 | − | 0.896705i | \(-0.354046\pi\) |
0.109244 | + | 0.994015i | \(0.465157\pi\) | |||||||
\(128\) | 4316.24 | − | 15805.2i | 0.263442 | − | 0.964675i | ||||
\(129\) | 9037.65 | + | 7583.49i | 0.543096 | + | 0.455711i | ||||
\(130\) | −8406.97 | − | 31461.3i | −0.497454 | − | 1.86162i | ||||
\(131\) | −5742.38 | + | 15777.1i | −0.334618 | + | 0.919356i | 0.652275 | + | 0.757982i | \(0.273815\pi\) |
−0.986893 | + | 0.161374i | \(0.948408\pi\) | |||||||
\(132\) | −29363.4 | + | 5136.14i | −1.68523 | + | 0.294774i | ||||
\(133\) | 21765.6 | − | 6448.18i | 1.23046 | − | 0.364530i | ||||
\(134\) | 416.363 | + | 4796.84i | 0.0231879 | + | 0.267144i | ||||
\(135\) | 5498.92 | − | 15108.1i | 0.301724 | − | 0.828979i | ||||
\(136\) | 9503.60 | + | 20490.2i | 0.513819 | + | 1.10782i | ||||
\(137\) | 19517.7 | + | 16377.3i | 1.03989 | + | 0.872573i | 0.991995 | − | 0.126279i | \(-0.0403034\pi\) |
0.0478977 | + | 0.998852i | \(0.484748\pi\) | |||||||
\(138\) | −15051.9 | + | 15031.3i | −0.790376 | + | 0.789295i | ||||
\(139\) | 26673.7 | + | 4703.29i | 1.38055 | + | 0.243429i | 0.814129 | − | 0.580685i | \(-0.197215\pi\) |
0.566425 | + | 0.824113i | \(0.308326\pi\) | |||||||
\(140\) | 36838.6 | + | 13465.3i | 1.87952 | + | 0.687004i | ||||
\(141\) | −28460.5 | − | 49295.1i | −1.43155 | − | 2.47951i | ||||
\(142\) | −11323.7 | − | 24327.3i | −0.561582 | − | 1.20647i | ||||
\(143\) | −9609.28 | − | 26401.3i | −0.469915 | − | 1.29108i | ||||
\(144\) | 21675.0 | + | 18288.8i | 1.04528 | + | 0.881984i | ||||
\(145\) | −15348.1 | + | 26583.7i | −0.729993 | + | 1.26439i | ||||
\(146\) | 1138.19 | − | 12907.8i | 0.0533960 | − | 0.605547i | ||||
\(147\) | 13826.5 | + | 16477.7i | 0.639848 | + | 0.762541i | ||||
\(148\) | −15474.7 | − | 8962.58i | −0.706478 | − | 0.409175i | ||||
\(149\) | 110.516 | + | 626.766i | 0.00497797 | + | 0.0282314i | 0.987196 | − | 0.159515i | \(-0.0509929\pi\) |
−0.982218 | + | 0.187746i | \(0.939882\pi\) | |||||||
\(150\) | −12860.4 | + | 47864.8i | −0.571575 | + | 2.12732i | ||||
\(151\) | − | 1937.68i | − | 0.0849823i | −0.999097 | − | 0.0424911i | \(-0.986471\pi\) | ||
0.999097 | − | 0.0424911i | \(-0.0135294\pi\) | |||||||
\(152\) | −23097.3 | + | 558.266i | −0.999708 | + | 0.0241632i | ||||
\(153\) | −39096.9 | −1.67016 | ||||||||
\(154\) | 32680.2 | + | 8780.59i | 1.37798 | + | 0.370239i | ||||
\(155\) | −6645.86 | + | 1171.84i | −0.276623 | + | 0.0487761i | ||||
\(156\) | −23191.7 | + | 40042.5i | −0.952978 | + | 1.64540i | ||||
\(157\) | 19013.5 | − | 15954.2i | 0.771370 | − | 0.647256i | −0.169690 | − | 0.985498i | \(-0.554277\pi\) |
0.941059 | + | 0.338242i | \(0.109832\pi\) | |||||||
\(158\) | 14073.2 | + | 1240.95i | 0.563739 | + | 0.0497095i | ||||
\(159\) | 5655.81 | + | 3265.39i | 0.223718 | + | 0.129164i | ||||
\(160\) | −32621.4 | − | 23008.5i | −1.27427 | − | 0.898769i | ||||
\(161\) | 22691.6 | − | 8259.06i | 0.875413 | − | 0.318624i | ||||
\(162\) | 11828.6 | − | 5505.93i | 0.450718 | − | 0.209798i | ||||
\(163\) | 4469.60 | − | 2580.52i | 0.168226 | − | 0.0971254i | −0.413523 | − | 0.910494i | \(-0.635702\pi\) |
0.581749 | + | 0.813368i | \(0.302369\pi\) | |||||||
\(164\) | −9757.60 | + | 26695.1i | −0.362790 | + | 0.992529i | ||||
\(165\) | −12612.0 | + | 71526.1i | −0.463250 | + | 2.62722i | ||||
\(166\) | −481.132 | − | 481.791i | −0.0174602 | − | 0.0174841i | ||||
\(167\) | −32744.4 | + | 39023.2i | −1.17410 | + | 1.39923i | −0.275023 | + | 0.961438i | \(0.588685\pi\) |
−0.899074 | + | 0.437797i | \(0.855759\pi\) | |||||||
\(168\) | −23450.2 | − | 50559.8i | −0.830860 | − | 1.79137i | ||||
\(169\) | −14144.9 | − | 5148.32i | −0.495252 | − | 0.180257i | ||||
\(170\) | 54826.3 | − | 4758.89i | 1.89711 | − | 0.164667i | ||||
\(171\) | 15945.4 | − | 36675.6i | 0.545308 | − | 1.25425i | ||||
\(172\) | 2348.58 | + | 13426.9i | 0.0793868 | + | 0.453856i | ||||
\(173\) | −6448.58 | − | 2347.09i | −0.215462 | − | 0.0784219i | 0.232034 | − | 0.972708i | \(-0.425462\pi\) |
−0.447496 | + | 0.894286i | \(0.647684\pi\) | |||||||
\(174\) | 42139.4 | − | 11260.3i | 1.39184 | − | 0.371922i | ||||
\(175\) | 36165.0 | − | 43099.8i | 1.18090 | − | 1.40734i | ||||
\(176\) | −29779.0 | − | 17301.8i | −0.961357 | − | 0.558554i | ||||
\(177\) | 5751.45 | − | 32618.1i | 0.183582 | − | 1.04115i | ||||
\(178\) | 2375.99 | − | 5086.24i | 0.0749902 | − | 0.160530i | ||||
\(179\) | 21371.9 | − | 12339.1i | 0.667018 | − | 0.385103i | −0.127928 | − | 0.991784i | \(-0.540833\pi\) |
0.794946 | + | 0.606680i | \(0.207499\pi\) | |||||||
\(180\) | 59888.2 | − | 34467.3i | 1.84840 | − | 1.06380i | ||||
\(181\) | −3633.72 | + | 1322.56i | −0.110916 | + | 0.0403701i | −0.396882 | − | 0.917870i | \(-0.629908\pi\) |
0.285966 | + | 0.958240i | \(0.407686\pi\) | |||||||
\(182\) | 43050.3 | − | 30100.2i | 1.29967 | − | 0.908714i | ||||
\(183\) | −33255.2 | − | 19199.9i | −0.993017 | − | 0.573319i | ||||
\(184\) | −24487.7 | + | 2091.76i | −0.723290 | + | 0.0617840i | ||||
\(185\) | −33377.3 | + | 28006.9i | −0.975233 | + | 0.818317i | ||||
\(186\) | 7851.21 | + | 5505.49i | 0.226940 | + | 0.159137i | ||||
\(187\) | 46758.0 | − | 8244.70i | 1.33713 | − | 0.235772i | ||||
\(188\) | 11508.5 | − | 64749.5i | 0.325613 | − | 1.83198i | ||||
\(189\) | 25934.3 | 0.726025 | ||||||||
\(190\) | −17896.3 | + | 53371.8i | −0.495743 | + | 1.47844i | ||||
\(191\) | − | 59073.7i | − | 1.61930i | −0.586913 | − | 0.809650i | \(-0.699657\pi\) | ||
0.586913 | − | 0.809650i | \(-0.300343\pi\) | |||||||
\(192\) | 9620.52 | + | 55901.7i | 0.260973 | + | 1.51643i | ||||
\(193\) | −7473.92 | − | 42386.7i | −0.200647 | − | 1.13793i | −0.904143 | − | 0.427229i | \(-0.859490\pi\) |
0.703496 | − | 0.710699i | \(-0.251621\pi\) | |||||||
\(194\) | −1228.02 | − | 861.123i | −0.0326289 | − | 0.0228803i | ||||
\(195\) | 72471.0 | + | 86367.5i | 1.90588 | + | 2.27134i | ||||
\(196\) | −34.0077 | + | 24851.9i | −0.000885249 | + | 0.646917i | ||||
\(197\) | 4693.55 | − | 8129.46i | 0.120940 | − | 0.209474i | −0.799199 | − | 0.601067i | \(-0.794743\pi\) |
0.920138 | + | 0.391593i | \(0.128076\pi\) | |||||||
\(198\) | 48856.9 | − | 34160.2i | 1.24622 | − | 0.871344i | ||||
\(199\) | 3518.55 | + | 9667.13i | 0.0888500 | + | 0.244113i | 0.976157 | − | 0.217066i | \(-0.0696487\pi\) |
−0.887307 | + | 0.461179i | \(0.847426\pi\) | |||||||
\(200\) | −46973.9 | + | 32748.0i | −1.17435 | + | 0.818700i | ||||
\(201\) | −8334.86 | − | 14436.4i | −0.206303 | − | 0.357328i | ||||
\(202\) | −24650.7 | + | 52769.3i | −0.604125 | + | 1.29324i | ||||
\(203\) | −48762.5 | − | 8598.14i | −1.18330 | − | 0.208647i | ||||
\(204\) | −59834.8 | − | 50347.1i | −1.43778 | − | 1.20980i | ||||
\(205\) | 53049.1 | + | 44513.5i | 1.26232 | + | 1.05922i | ||||
\(206\) | 7183.03 | − | 1919.42i | 0.169267 | − | 0.0452309i | ||||
\(207\) | 14550.0 | − | 39975.9i | 0.339565 | − | 0.932949i | ||||
\(208\) | −50288.4 | + | 18147.8i | −1.16236 | + | 0.419466i | ||||
\(209\) | −11335.8 | + | 47224.9i | −0.259513 | + | 1.08113i | ||||
\(210\) | −135284. | + | 11742.6i | −3.06767 | + | 0.266272i | ||||
\(211\) | 11768.4 | − | 32333.3i | 0.264333 | − | 0.726248i | −0.734530 | − | 0.678576i | \(-0.762597\pi\) |
0.998863 | − | 0.0476722i | \(-0.0151803\pi\) | |||||||
\(212\) | 2570.97 | + | 7093.87i | 0.0572039 | + | 0.157838i | ||||
\(213\) | 71166.6 | + | 59715.8i | 1.56862 | + | 1.31623i | ||||
\(214\) | −57668.5 | − | 57747.4i | −1.25925 | − | 1.26097i | ||||
\(215\) | 32706.4 | + | 5767.02i | 0.707548 | + | 0.124760i | ||||
\(216\) | −25481.6 | − | 6883.87i | −0.546159 | − | 0.147545i | ||||
\(217\) | −5442.76 | − | 9427.14i | −0.115585 | − | 0.200198i | ||||
\(218\) | 28042.4 | − | 13053.0i | 0.590068 | − | 0.274662i | ||||
\(219\) | 15343.7 | + | 42156.5i | 0.319920 | + | 0.878974i | ||||
\(220\) | −64355.0 | + | 53850.4i | −1.32965 | + | 1.11261i | ||||
\(221\) | 36851.7 | − | 63829.1i | 0.754525 | − | 1.30688i | ||||
\(222\) | 61673.2 | + | 5438.23i | 1.25138 | + | 0.110345i | ||||
\(223\) | 23847.4 | + | 28420.2i | 0.479547 | + | 0.571502i | 0.950527 | − | 0.310642i | \(-0.100544\pi\) |
−0.470980 | + | 0.882144i | \(0.656099\pi\) | |||||||
\(224\) | 16878.6 | − | 62140.5i | 0.336387 | − | 1.23845i | ||||
\(225\) | −17211.8 | − | 97612.7i | −0.339985 | − | 1.92815i | ||||
\(226\) | 51965.8 | + | 13962.3i | 1.01742 | + | 0.273363i | ||||
\(227\) | 40697.7i | 0.789802i | 0.918724 | + | 0.394901i | \(0.129221\pi\) | ||||
−0.918724 | + | 0.394901i | \(0.870779\pi\) | |||||||
\(228\) | 71632.3 | − | 35595.6i | 1.37797 | − | 0.684742i | ||||
\(229\) | −33392.4 | −0.636761 | −0.318381 | − | 0.947963i | \(-0.603139\pi\) | ||||
−0.318381 | + | 0.947963i | \(0.603139\pi\) | |||||||
\(230\) | −15537.9 | + | 57830.0i | −0.293723 | + | 1.09320i | ||||
\(231\) | −115376. | + | 20343.8i | −2.16217 | + | 0.381249i | ||||
\(232\) | 45629.0 | + | 21391.3i | 0.847745 | + | 0.397431i | ||||
\(233\) | 8646.76 | − | 7255.49i | 0.159273 | − | 0.133646i | −0.559668 | − | 0.828717i | \(-0.689071\pi\) |
0.718941 | + | 0.695071i | \(0.244627\pi\) | |||||||
\(234\) | 8128.60 | − | 92183.9i | 0.148451 | − | 1.68354i | ||||
\(235\) | −138766. | − | 80116.7i | −2.51274 | − | 1.45073i | ||||
\(236\) | 29347.8 | − | 24557.4i | 0.526929 | − | 0.440918i | ||||
\(237\) | −45962.4 | + | 16728.9i | −0.818288 | + | 0.297832i | ||||
\(238\) | 37461.0 | + | 80479.0i | 0.661341 | + | 1.42079i | ||||
\(239\) | −76797.1 | + | 44338.8i | −1.34446 | + | 0.776226i | −0.987459 | − | 0.157877i | \(-0.949535\pi\) |
−0.357004 | + | 0.934103i | \(0.616202\pi\) | |||||||
\(240\) | 136040. | + | 24371.5i | 2.36180 | + | 0.423117i | ||||
\(241\) | 9526.77 | − | 54029.0i | 0.164026 | − | 0.930235i | −0.786038 | − | 0.618178i | \(-0.787871\pi\) |
0.950063 | − | 0.312057i | \(-0.101018\pi\) | |||||||
\(242\) | −9787.57 | + | 9774.19i | −0.167126 | + | 0.166898i | ||||
\(243\) | −50508.7 | + | 60194.0i | −0.855370 | + | 1.01939i | ||||
\(244\) | −15116.8 | − | 41710.7i | −0.253911 | − | 0.700596i | ||||
\(245\) | 56899.6 | + | 20709.8i | 0.947931 | + | 0.345019i | ||||
\(246\) | −8509.24 | − | 98033.6i | −0.140611 | − | 1.61996i | ||||
\(247\) | 44846.5 | + | 60601.7i | 0.735080 | + | 0.993324i | ||||
\(248\) | 2845.46 | + | 10707.3i | 0.0462647 | + | 0.174091i | ||||
\(249\) | 2215.16 | + | 806.253i | 0.0357279 | + | 0.0130039i | ||||
\(250\) | 10858.0 | + | 40633.7i | 0.173727 | + | 0.650139i | ||||
\(251\) | 57179.2 | − | 68143.5i | 0.907591 | − | 1.08163i | −0.0887408 | − | 0.996055i | \(-0.528284\pi\) |
0.996332 | − | 0.0855705i | \(-0.0272713\pi\) | |||||||
\(252\) | 85284.9 | + | 71761.6i | 1.34298 | + | 1.13003i | ||||
\(253\) | −8971.09 | + | 50877.6i | −0.140154 | + | 0.794851i | ||||
\(254\) | −32756.1 | − | 15301.7i | −0.507721 | − | 0.237177i | ||||
\(255\) | −165003. | + | 95264.7i | −2.53754 | + | 1.46505i | ||||
\(256\) | −33078.2 | + | 56575.6i | −0.504733 | + | 0.863276i | ||||
\(257\) | −4463.28 | + | 1624.50i | −0.0675752 | + | 0.0245954i | −0.375587 | − | 0.926787i | \(-0.622559\pi\) |
0.308011 | + | 0.951383i | \(0.400337\pi\) | |||||||
\(258\) | −27041.3 | − | 38675.3i | −0.406246 | − | 0.581025i | ||||
\(259\) | −60866.4 | − | 35141.3i | −0.907357 | − | 0.523863i | ||||
\(260\) | −178.250 | + | 130261.i | −0.00263684 | + | 1.92693i | ||||
\(261\) | −66822.4 | + | 56070.6i | −0.980936 | + | 0.823103i | ||||
\(262\) | 38558.1 | − | 54986.6i | 0.561711 | − | 0.801040i | ||||
\(263\) | 90848.0 | − | 16018.9i | 1.31342 | − | 0.231591i | 0.527307 | − | 0.849675i | \(-0.323202\pi\) |
0.786113 | + | 0.618083i | \(0.212091\pi\) | |||||||
\(264\) | 118762. | + | 10636.0i | 1.70400 | + | 0.152605i | ||||
\(265\) | 18384.2 | 0.261790 | ||||||||
\(266\) | −90773.2 | + | 2318.30i | −1.28290 | + | 0.0327647i | ||||
\(267\) | 19435.8i | 0.272634i | ||||||||
\(268\) | 3370.33 | − | 18962.3i | 0.0469249 | − | 0.264011i | ||||
\(269\) | −3712.24 | − | 21053.1i | −0.0513016 | − | 0.290946i | 0.948353 | − | 0.317216i | \(-0.102748\pi\) |
−0.999655 | + | 0.0262702i | \(0.991637\pi\) | |||||||
\(270\) | −36923.3 | + | 52655.2i | −0.506493 | + | 0.722294i | ||||
\(271\) | −2219.81 | − | 2645.47i | −0.0302258 | − | 0.0360217i | 0.750720 | − | 0.660621i | \(-0.229707\pi\) |
−0.780946 | + | 0.624599i | \(0.785262\pi\) | |||||||
\(272\) | −15445.1 | − | 89017.6i | −0.208763 | − | 1.20320i | ||||
\(273\) | −90931.9 | + | 157499.i | −1.22009 | + | 2.11325i | ||||
\(274\) | −58398.6 | − | 83523.4i | −0.777859 | − | 1.11252i | ||||
\(275\) | 41168.9 | + | 113111.i | 0.544382 | + | 1.49568i | ||||
\(276\) | 73746.8 | − | 42443.3i | 0.968111 | − | 0.557174i | ||||
\(277\) | −49146.9 | − | 85124.9i | −0.640525 | − | 1.10942i | −0.985316 | − | 0.170743i | \(-0.945383\pi\) |
0.344790 | − | 0.938680i | \(-0.387950\pi\) | |||||||
\(278\) | −98158.6 | − | 45853.9i | −1.27010 | − | 0.593317i | ||||
\(279\) | −18885.8 | − | 3330.07i | −0.242620 | − | 0.0427804i | ||||
\(280\) | −128332. | − | 90251.8i | −1.63688 | − | 1.15117i | ||||
\(281\) | −97936.0 | − | 82178.1i | −1.24031 | − | 1.04074i | −0.997500 | − | 0.0706687i | \(-0.977487\pi\) |
−0.242809 | − | 0.970074i | \(-0.578069\pi\) | |||||||
\(282\) | 58778.6 | + | 219966.i | 0.739130 | + | 2.76604i | ||||
\(283\) | 13024.0 | − | 35783.2i | 0.162619 | − | 0.446793i | −0.831442 | − | 0.555611i | \(-0.812484\pi\) |
0.994062 | + | 0.108818i | \(0.0347067\pi\) | |||||||
\(284\) | 18493.8 | + | 105729.i | 0.229292 | + | 1.31087i | ||||
\(285\) | −22069.7 | − | 193638.i | −0.271711 | − | 2.38397i | ||||
\(286\) | 9718.19 | + | 111962.i | 0.118810 | + | 1.36879i | ||||
\(287\) | −38205.5 | + | 104969.i | −0.463833 | + | 1.27437i | ||||
\(288\) | −64748.1 | − | 93146.5i | −0.780625 | − | 1.12300i | ||||
\(289\) | 31432.2 | + | 26374.7i | 0.376338 | + | 0.315785i | ||||
\(290\) | 86881.4 | − | 86762.6i | 1.03307 | − | 1.03166i | ||||
\(291\) | 5113.81 | + | 901.702i | 0.0603891 | + | 0.0106482i | ||||
\(292\) | −17794.1 | + | 48681.6i | −0.208694 | + | 0.570951i | ||||
\(293\) | 68682.7 | + | 118962.i | 0.800040 | + | 1.38571i | 0.919589 | + | 0.392882i | \(0.128522\pi\) |
−0.119548 | + | 0.992828i | \(0.538145\pi\) | |||||||
\(294\) | −36309.0 | − | 78004.2i | −0.420068 | − | 0.902450i | ||||
\(295\) | −31888.8 | − | 87613.7i | −0.366432 | − | 1.00676i | ||||
\(296\) | 50476.2 | + | 50683.9i | 0.576108 | + | 0.578478i | ||||
\(297\) | −27742.2 | + | 48050.9i | −0.314505 | + | 0.544739i | ||||
\(298\) | 223.611 | − | 2535.90i | 0.00251803 | − | 0.0285562i | ||||
\(299\) | 51549.7 | + | 61434.5i | 0.576612 | + | 0.687179i | ||||
\(300\) | 99359.6 | − | 171553.i | 1.10400 | − | 1.90615i | ||||
\(301\) | 9302.53 | + | 52757.3i | 0.102676 | + | 0.582303i | ||||
\(302\) | −2011.16 | + | 7485.25i | −0.0220512 | + | 0.0820715i | ||||
\(303\) | − | 201645.i | − | 2.19635i | ||||||
\(304\) | 89804.0 | + | 21816.5i | 0.971736 | + | 0.236069i | ||||
\(305\) | −108096. | −1.16201 | ||||||||
\(306\) | 151031. | + | 40579.4i | 1.61296 | + | 0.433374i | ||||
\(307\) | 142674. | − | 25157.3i | 1.51380 | − | 0.266924i | 0.645809 | − | 0.763499i | \(-0.276520\pi\) |
0.867994 | + | 0.496575i | \(0.165409\pi\) | |||||||
\(308\) | −117130. | − | 67838.7i | −1.23471 | − | 0.715116i | ||||
\(309\) | −19718.8 | + | 16546.1i | −0.206521 | + | 0.173292i | ||||
\(310\) | 26889.2 | + | 2371.04i | 0.279804 | + | 0.0246726i | ||||
\(311\) | −61794.5 | − | 35677.1i | −0.638895 | − | 0.368866i | 0.145294 | − | 0.989389i | \(-0.453587\pi\) |
−0.784189 | + | 0.620523i | \(0.786921\pi\) | |||||||
\(312\) | 131150. | − | 130613.i | 1.34729 | − | 1.34177i | ||||
\(313\) | 179210. | − | 65227.0i | 1.82925 | − | 0.665792i | 0.836151 | − | 0.548500i | \(-0.184801\pi\) |
0.993097 | − | 0.117292i | \(-0.0374214\pi\) | |||||||
\(314\) | −90008.2 | + | 41896.6i | −0.912899 | + | 0.424932i | ||||
\(315\) | 235185. | − | 135784.i | 2.37022 | − | 1.36845i | ||||
\(316\) | −53076.6 | − | 19400.6i | −0.531531 | − | 0.194286i | ||||
\(317\) | −6372.12 | + | 36138.1i | −0.0634111 | + | 0.359622i | 0.936548 | + | 0.350540i | \(0.114002\pi\) |
−0.999959 | + | 0.00908204i | \(0.997109\pi\) | |||||||
\(318\) | −18459.2 | − | 18484.4i | −0.182540 | − | 0.182790i | ||||
\(319\) | 68092.3 | − | 81149.2i | 0.669139 | − | 0.797449i | ||||
\(320\) | 102135. | + | 122740.i | 0.997416 | + | 1.19863i | ||||
\(321\) | 265509. | + | 96637.4i | 2.57673 | + | 0.937854i | ||||
\(322\) | −96229.7 | + | 8352.67i | −0.928106 | + | 0.0805589i | ||||
\(323\) | −114016. | + | 56851.8i | −1.09285 | + | 0.544929i | ||||
\(324\) | −51408.7 | + | 8992.21i | −0.489718 | + | 0.0856597i | ||||
\(325\) | 175585. | + | 63907.6i | 1.66234 | + | 0.605042i | ||||
\(326\) | −19944.4 | + | 5329.47i | −0.187666 | + | 0.0501474i | ||||
\(327\) | −68835.4 | + | 82034.8i | −0.643748 | + | 0.767189i | ||||
\(328\) | 65400.9 | − | 92995.3i | 0.607905 | − | 0.864397i | ||||
\(329\) | 44882.0 | − | 254539.i | 0.414649 | − | 2.35159i | ||||
\(330\) | 122958. | − | 263215.i | 1.12909 | − | 2.41703i | ||||
\(331\) | 34332.8 | − | 19822.1i | 0.313367 | − | 0.180923i | −0.335065 | − | 0.942195i | \(-0.608758\pi\) |
0.648432 | + | 0.761272i | \(0.275425\pi\) | |||||||
\(332\) | 1358.55 | + | 2360.53i | 0.0123254 | + | 0.0214158i | ||||
\(333\) | −116350. | + | 42348.0i | −1.04925 | + | 0.381895i | ||||
\(334\) | 166994. | − | 116761.i | 1.49696 | − | 1.04665i | ||||
\(335\) | −40638.6 | − | 23462.7i | −0.362117 | − | 0.209068i | ||||
\(336\) | 38110.9 | + | 219651.i | 0.337576 | + | 1.94561i | ||||
\(337\) | −77702.7 | + | 65200.3i | −0.684189 | + | 0.574103i | −0.917227 | − | 0.398365i | \(-0.869578\pi\) |
0.233038 | + | 0.972468i | \(0.425133\pi\) | |||||||
\(338\) | 49298.1 | + | 34569.2i | 0.431516 | + | 0.302591i | ||||
\(339\) | −183463. | + | 32349.4i | −1.59642 | + | 0.281493i | ||||
\(340\) | −216733. | − | 38521.8i | −1.87485 | − | 0.333233i | ||||
\(341\) | 23288.7 | 0.200280 | ||||||||
\(342\) | −99663.2 | + | 125128.i | −0.852084 | + | 1.06980i | ||||
\(343\) | − | 53309.0i | − | 0.453119i | ||||||
\(344\) | 4863.46 | − | 54305.5i | 0.0410987 | − | 0.458910i | ||||
\(345\) | −36000.0 | − | 204166.i | −0.302458 | − | 1.71532i | ||||
\(346\) | 22474.7 | + | 15759.9i | 0.187734 | + | 0.131644i | ||||
\(347\) | 62559.9 | + | 74556.0i | 0.519562 | + | 0.619190i | 0.960477 | − | 0.278359i | \(-0.0897905\pi\) |
−0.440915 | + | 0.897549i | \(0.645346\pi\) | |||||||
\(348\) | −174472. | − | 238.749i | −1.44068 | − | 0.00197144i | ||||
\(349\) | 153.229 | − | 265.400i | 0.00125802 | − | 0.00217896i | −0.865396 | − | 0.501089i | \(-0.832933\pi\) |
0.866654 | + | 0.498910i | \(0.166266\pi\) | |||||||
\(350\) | −184439. | + | 128958.i | −1.50563 | + | 1.05272i | ||||
\(351\) | 29458.2 | + | 80935.7i | 0.239107 | + | 0.656940i | ||||
\(352\) | 97078.3 | + | 97744.8i | 0.783496 | + | 0.788875i | ||||
\(353\) | 108398. | + | 187752.i | 0.869909 | + | 1.50673i | 0.862089 | + | 0.506757i | \(0.169156\pi\) |
0.00781947 | + | 0.999969i | \(0.497511\pi\) | |||||||
\(354\) | −56072.7 | + | 120034.i | −0.447451 | + | 0.957849i | ||||
\(355\) | 257545. | + | 45412.1i | 2.04360 | + | 0.360342i | ||||
\(356\) | −14457.5 | + | 17182.0i | −0.114076 | + | 0.135573i | ||||
\(357\) | −235432. | − | 197551.i | −1.84726 | − | 1.55004i | ||||
\(358\) | −95366.6 | + | 25483.5i | −0.744098 | + | 0.198835i | ||||
\(359\) | 61851.0 | − | 169934.i | 0.479908 | − | 1.31854i | −0.429664 | − | 0.902989i | \(-0.641368\pi\) |
0.909572 | − | 0.415547i | \(-0.136410\pi\) | |||||||
\(360\) | −267122. | + | 70987.8i | −2.06113 | + | 0.547745i | ||||
\(361\) | −6830.42 | − | 130142.i | −0.0524122 | − | 0.998626i | ||||
\(362\) | 15409.7 | − | 1337.55i | 0.117592 | − | 0.0102069i | ||||
\(363\) | 16379.0 | − | 45000.9i | 0.124301 | − | 0.341514i | ||||
\(364\) | −197544. | + | 71594.3i | −1.49095 | + | 0.540351i | ||||
\(365\) | 96741.3 | + | 81175.6i | 0.726150 | + | 0.609312i | ||||
\(366\) | 108537. | + | 108685.i | 0.810240 | + | 0.811350i | ||||
\(367\) | 156323. | + | 27563.9i | 1.16062 | + | 0.204648i | 0.720607 | − | 0.693344i | \(-0.243863\pi\) |
0.440012 | + | 0.897992i | \(0.354974\pi\) | |||||||
\(368\) | 96767.0 | + | 17335.8i | 0.714548 | + | 0.128012i | ||||
\(369\) | 98396.0 | + | 170427.i | 0.722645 | + | 1.25166i | ||||
\(370\) | 158005. | − | 73547.5i | 1.15417 | − | 0.537236i | ||||
\(371\) | 10142.5 | + | 27866.3i | 0.0736881 | + | 0.202456i | ||||
\(372\) | −24614.9 | − | 29416.6i | −0.177874 | − | 0.212572i | ||||
\(373\) | −50457.5 | + | 87394.9i | −0.362667 | + | 0.628157i | −0.988399 | − | 0.151881i | \(-0.951467\pi\) |
0.625732 | + | 0.780038i | \(0.284800\pi\) | |||||||
\(374\) | −189183. | − | 16681.8i | −1.35251 | − | 0.119262i | ||||
\(375\) | −93599.4 | − | 111547.i | −0.665596 | − | 0.793226i | ||||
\(376\) | −111662. | + | 238182.i | −0.789823 | + | 1.68474i | ||||
\(377\) | −28555.1 | − | 161944.i | −0.200910 | − | 1.13942i | ||||
\(378\) | −100184. | − | 26917.7i | −0.701157 | − | 0.188389i | ||||
\(379\) | 79968.8i | 0.556727i | 0.960476 | + | 0.278363i | \(0.0897920\pi\) | ||||
−0.960476 | + | 0.278363i | \(0.910208\pi\) | |||||||
\(380\) | 124529. | − | 187600.i | 0.862390 | − | 1.29917i | ||||
\(381\) | 125169. | 0.862280 | ||||||||
\(382\) | −61313.7 | + | 228201.i | −0.420176 | + | 1.56384i | ||||
\(383\) | −153869. | + | 27131.3i | −1.04895 | + | 0.184958i | −0.671449 | − | 0.741051i | \(-0.734328\pi\) |
−0.377501 | + | 0.926009i | \(0.623217\pi\) | |||||||
\(384\) | 20857.4 | − | 225933.i | 0.141449 | − | 1.53221i | ||||
\(385\) | −252637. | + | 211987.i | −1.70441 | + | 1.43017i | ||||
\(386\) | −15122.3 | + | 171497.i | −0.101494 | + | 1.15102i | ||||
\(387\) | 81732.5 | + | 47188.3i | 0.545724 | + | 0.315074i | ||||
\(388\) | 3850.07 | + | 4601.10i | 0.0255744 | + | 0.0305632i | ||||
\(389\) | 95890.0 | − | 34901.1i | 0.633686 | − | 0.230643i | −0.00514887 | − | 0.999987i | \(-0.501639\pi\) |
0.638835 | + | 0.769344i | \(0.279417\pi\) | |||||||
\(390\) | −190312. | − | 408856.i | −1.25123 | − | 2.68808i | ||||
\(391\) | −117369. | + | 67763.2i | −0.767716 | + | 0.443241i | ||||
\(392\) | 25925.7 | − | 95967.6i | 0.168717 | − | 0.624529i | ||||
\(393\) | −40375.1 | + | 228979.i | −0.261414 | + | 1.48255i | ||||
\(394\) | −26568.9 | + | 26532.5i | −0.171152 | + | 0.170917i | ||||
\(395\) | −88504.2 | + | 105475.i | −0.567244 | + | 0.676015i | ||||
\(396\) | −224189. | + | 81251.0i | −1.42963 | + | 0.518130i | ||||
\(397\) | −233633. | − | 85035.4i | −1.48236 | − | 0.539534i | −0.530932 | − | 0.847415i | \(-0.678158\pi\) |
−0.951425 | + | 0.307881i | \(0.900380\pi\) | |||||||
\(398\) | −3558.43 | − | 40996.0i | −0.0224642 | − | 0.258807i | ||||
\(399\) | 281336. | − | 140282.i | 1.76717 | − | 0.881164i | ||||
\(400\) | 215450. | − | 77750.2i | 1.34656 | − | 0.485939i | ||||
\(401\) | −249294. | − | 90735.8i | −1.55033 | − | 0.564274i | −0.581834 | − | 0.813307i | \(-0.697665\pi\) |
−0.968495 | + | 0.249034i | \(0.919887\pi\) | |||||||
\(402\) | 17213.7 | + | 64418.7i | 0.106518 | + | 0.398620i | ||||
\(403\) | 23237.9 | − | 27693.8i | 0.143082 | − | 0.170519i | ||||
\(404\) | 149996. | − | 178262.i | 0.919002 | − | 1.09219i | ||||
\(405\) | −22080.7 | + | 125226.i | −0.134618 | + | 0.763456i | ||||
\(406\) | 179445. | + | 83826.1i | 1.08863 | + | 0.508542i | ||||
\(407\) | 130219. | − | 75181.9i | 0.786113 | − | 0.453863i | ||||
\(408\) | 178885. | + | 256594.i | 1.07462 | + | 1.54144i | ||||
\(409\) | −76696.1 | + | 27915.1i | −0.458487 | + | 0.166875i | −0.560930 | − | 0.827863i | \(-0.689556\pi\) |
0.102443 | + | 0.994739i | \(0.467334\pi\) | |||||||
\(410\) | −158727. | − | 227016.i | −0.944242 | − | 1.35048i | ||||
\(411\) | 305569. | + | 176420.i | 1.80895 | + | 1.04440i | ||||
\(412\) | −29740.2 | − | 40.6969i | −0.175206 | − | 0.000239754i | ||||
\(413\) | 115210. | − | 96672.6i | 0.675445 | − | 0.566765i | ||||
\(414\) | −97698.5 | + | 139325.i | −0.570016 | + | 0.812883i | ||||
\(415\) | 6535.08 | − | 1152.31i | 0.0379450 | − | 0.00669073i | ||||
\(416\) | 213100. | − | 17909.4i | 1.23139 | − | 0.103489i | ||||
\(417\) | 375089. | 2.15706 | ||||||||
\(418\) | 92805.7 | − | 170664.i | 0.531156 | − | 0.976762i | ||||
\(419\) | 16458.1i | 0.0937459i | 0.998901 | + | 0.0468730i | \(0.0149256\pi\) | ||||
−0.998901 | + | 0.0468730i | \(0.985074\pi\) | |||||||
\(420\) | 534790. | + | 95052.7i | 3.03169 | + | 0.538847i | ||||
\(421\) | −39272.7 | − | 222727.i | −0.221578 | − | 1.25663i | −0.869120 | − | 0.494602i | \(-0.835314\pi\) |
0.647542 | − | 0.762030i | \(-0.275797\pi\) | |||||||
\(422\) | −79020.4 | + | 112689.i | −0.443726 | + | 0.632784i | ||||
\(423\) | −292687. | − | 348811.i | −1.63577 | − | 1.94944i | ||||
\(424\) | −2568.77 | − | 30072.0i | −0.0142888 | − | 0.167275i | ||||
\(425\) | −157883. | + | 273462.i | −0.874094 | + | 1.51398i | ||||
\(426\) | −212936. | − | 304547.i | −1.17336 | − | 1.67817i | ||||
\(427\) | −59636.1 | − | 163849.i | −0.327080 | − | 0.898644i | ||||
\(428\) | 162836. | + | 282933.i | 0.888919 | + | 1.54453i | ||||
\(429\) | −194541. | − | 336956.i | −1.05706 | − | 1.83087i | ||||
\(430\) | −120359. | − | 56224.6i | −0.650941 | − | 0.304081i | ||||
\(431\) | −231676. | − | 40850.8i | −1.24717 | − | 0.219910i | −0.489186 | − | 0.872179i | \(-0.662706\pi\) |
−0.757988 | + | 0.652269i | \(0.773817\pi\) | |||||||
\(432\) | 91290.4 | + | 53040.2i | 0.489168 | + | 0.284209i | ||||
\(433\) | 176919. | + | 148453.i | 0.943622 | + | 0.791793i | 0.978212 | − | 0.207608i | \(-0.0665680\pi\) |
−0.0345896 | + | 0.999402i | \(0.511012\pi\) | |||||||
\(434\) | 11240.7 | + | 42066.1i | 0.0596782 | + | 0.223333i | ||||
\(435\) | −145392. | + | 399460.i | −0.768353 | + | 2.11103i | ||||
\(436\) | −121876. | + | 21318.0i | −0.641127 | + | 0.112144i | ||||
\(437\) | −15698.5 | − | 137737.i | −0.0822045 | − | 0.721255i | ||||
\(438\) | −15517.6 | − | 178776.i | −0.0808866 | − | 0.931881i | ||||
\(439\) | −5032.55 | + | 13826.8i | −0.0261131 | + | 0.0717452i | −0.952064 | − | 0.305898i | \(-0.901043\pi\) |
0.925951 | + | 0.377643i | \(0.123265\pi\) | |||||||
\(440\) | 304495. | − | 141228.i | 1.57281 | − | 0.729485i | ||||
\(441\) | 131814. | + | 110605.i | 0.677771 | + | 0.568718i | ||||
\(442\) | −208608. | + | 208322.i | −1.06779 | + | 1.06633i | ||||
\(443\) | −162062. | − | 28575.9i | −0.825799 | − | 0.145611i | −0.255251 | − | 0.966875i | \(-0.582158\pi\) |
−0.570548 | + | 0.821264i | \(0.693269\pi\) | |||||||
\(444\) | −232599. | − | 85019.6i | −1.17989 | − | 0.431274i | ||||
\(445\) | 27356.0 | + | 47381.9i | 0.138144 | + | 0.239272i | ||||
\(446\) | −62624.5 | − | 134539.i | −0.314829 | − | 0.676360i | ||||
\(447\) | 3014.45 | + | 8282.15i | 0.0150867 | + | 0.0414503i | ||||
\(448\) | −129699. | + | 222530.i | −0.646218 | + | 1.10875i | ||||
\(449\) | 53477.6 | − | 92625.9i | 0.265264 | − | 0.459451i | −0.702368 | − | 0.711814i | \(-0.747874\pi\) |
0.967633 | + | 0.252362i | \(0.0812074\pi\) | |||||||
\(450\) | −34825.2 | + | 394942.i | −0.171976 | + | 1.95033i | ||||
\(451\) | −153616. | − | 183073.i | −0.755239 | − | 0.900059i | ||||
\(452\) | −186252. | − | 107873.i | −0.911640 | − | 0.528000i | ||||
\(453\) | −4659.67 | − | 26426.3i | −0.0227070 | − | 0.128778i | ||||
\(454\) | 42240.9 | − | 157215.i | 0.204938 | − | 0.762750i | ||||
\(455\) | 511948.i | 2.47288i | ||||||||
\(456\) | −313660. | + | 63157.2i | −1.50845 | + | 0.303734i | ||||
\(457\) | 241889. | 1.15820 | 0.579100 | − | 0.815257i | \(-0.303404\pi\) | ||||
0.579100 | + | 0.815257i | \(0.303404\pi\) | |||||||
\(458\) | 128995. | + | 34658.6i | 0.614951 | + | 0.165227i | ||||
\(459\) | −143341. | + | 25274.9i | −0.680371 | + | 0.119968i | ||||
\(460\) | 120046. | − | 207270.i | 0.567324 | − | 0.979537i | ||||
\(461\) | −45648.5 | + | 38303.7i | −0.214795 | + | 0.180235i | −0.743837 | − | 0.668361i | \(-0.766996\pi\) |
0.529041 | + | 0.848596i | \(0.322552\pi\) | |||||||
\(462\) | 466811. | + | 41162.5i | 2.18704 | + | 0.192849i | ||||
\(463\) | 254391. | + | 146873.i | 1.18670 | + | 0.685140i | 0.957555 | − | 0.288252i | \(-0.0930741\pi\) |
0.229144 | + | 0.973393i | \(0.426407\pi\) | |||||||
\(464\) | −154062. | − | 129994.i | −0.715583 | − | 0.603791i | ||||
\(465\) | −87819.0 | + | 31963.5i | −0.406146 | + | 0.147825i | ||||
\(466\) | −40933.0 | + | 19053.3i | −0.188496 | + | 0.0877401i | ||||
\(467\) | −61317.9 | + | 35401.9i | −0.281160 | + | 0.162328i | −0.633948 | − | 0.773375i | \(-0.718567\pi\) |
0.352789 | + | 0.935703i | \(0.385233\pi\) | |||||||
\(468\) | −127080. | + | 347669.i | −0.580211 | + | 1.58736i | ||||
\(469\) | 13144.0 | − | 74543.4i | 0.0597561 | − | 0.338894i | ||||
\(470\) | 452898. | + | 453518.i | 2.05024 | + | 2.05305i | ||||
\(471\) | 220942. | − | 263308.i | 0.995947 | − | 1.18692i | ||||
\(472\) | −138859. | + | 64404.4i | −0.623290 | + | 0.289089i | ||||
\(473\) | −107699. | − | 39199.3i | −0.481383 | − | 0.175209i | ||||
\(474\) | 194916. | − | 16918.5i | 0.867542 | − | 0.0753020i | ||||
\(475\) | −192135. | − | 259635.i | −0.851568 | − | 1.15074i | ||||
\(476\) | −61180.8 | − | 349772.i | −0.270023 | − | 1.54373i | ||||
\(477\) | 49092.3 | + | 17868.1i | 0.215763 | + | 0.0785312i | ||||
\(478\) | 342687. | − | 91571.4i | 1.49983 | − | 0.400778i | ||||
\(479\) | −119603. | + | 142537.i | −0.521280 | + | 0.621237i | −0.960883 | − | 0.276955i | \(-0.910675\pi\) |
0.439603 | + | 0.898192i | \(0.355119\pi\) | |||||||
\(480\) | −500225. | − | 235345.i | −2.17111 | − | 1.02146i | ||||
\(481\) | 40531.9 | − | 229868.i | 0.175189 | − | 0.993546i | ||||
\(482\) | −92879.6 | + | 198826.i | −0.399785 | + | 0.855812i | ||||
\(483\) | 289609. | − | 167206.i | 1.24142 | − | 0.716733i | ||||
\(484\) | 47954.1 | − | 27598.9i | 0.204708 | − | 0.117815i | ||||
\(485\) | 13735.9 | − | 4999.47i | 0.0583949 | − | 0.0212540i | ||||
\(486\) | 257591. | − | 180105.i | 1.09058 | − | 0.762523i | ||||
\(487\) | −209716. | − | 121080.i | −0.884249 | − | 0.510521i | −0.0121916 | − | 0.999926i | \(-0.503881\pi\) |
−0.872057 | + | 0.489405i | \(0.837214\pi\) | |||||||
\(488\) | 15103.9 | + | 176818.i | 0.0634235 | + | 0.742484i | ||||
\(489\) | 54751.3 | − | 45941.8i | 0.228969 | − | 0.192128i | ||||
\(490\) | −198308. | − | 139059.i | −0.825938 | − | 0.579170i | ||||
\(491\) | 70159.0 | − | 12370.9i | 0.291018 | − | 0.0513144i | −0.0262331 | − | 0.999656i | \(-0.508351\pi\) |
0.317251 | + | 0.948341i | \(0.397240\pi\) | |||||||
\(492\) | −68879.8 | + | 387535.i | −0.284552 | + | 1.60096i | ||||
\(493\) | 277894. | 1.14337 | ||||||||
\(494\) | −110342. | − | 280651.i | −0.452155 | − | 1.15004i | ||||
\(495\) | 581000.i | 2.37119i | ||||||||
\(496\) | 121.284 | − | 44315.5i | 0.000492993 | − | 0.180133i | ||||
\(497\) | 73252.3 | + | 415435.i | 0.296557 | + | 1.68186i | ||||
\(498\) | −7720.34 | − | 5413.71i | −0.0311299 | − | 0.0218291i | ||||
\(499\) | 123008. | + | 146595.i | 0.494005 | + | 0.588733i | 0.954231 | − | 0.299069i | \(-0.0966761\pi\) |
−0.460226 | + | 0.887802i | \(0.652232\pi\) | |||||||
\(500\) | 230.218 | − | 168237.i | 0.000920872 | − | 0.672949i | ||||
\(501\) | −352730. | + | 610946.i | −1.40529 | + | 2.43404i | ||||
\(502\) | −291610. | + | 203890.i | −1.15716 | + | 0.809076i | ||||
\(503\) | −133759. | − | 367499.i | −0.528671 | − | 1.45251i | −0.860636 | − | 0.509220i | \(-0.829934\pi\) |
0.331965 | − | 0.943292i | \(-0.392288\pi\) | |||||||
\(504\) | −254972. | − | 365734.i | −1.00376 | − | 1.43981i | ||||
\(505\) | −283816. | − | 491584.i | −1.11290 | − | 1.92759i | ||||
\(506\) | 87462.1 | − | 187229.i | 0.341601 | − | 0.731259i | ||||
\(507\) | −205290. | − | 36198.2i | −0.798642 | − | 0.140822i | ||||
\(508\) | 110655. | + | 93108.6i | 0.428788 | + | 0.360797i | ||||
\(509\) | 105828. | + | 88800.6i | 0.408476 | + | 0.342752i | 0.823759 | − | 0.566940i | \(-0.191873\pi\) |
−0.415283 | + | 0.909692i | \(0.636317\pi\) | |||||||
\(510\) | 736284. | − | 196747.i | 2.83077 | − | 0.756428i | ||||
\(511\) | −69672.2 | + | 191423.i | −0.266819 | + | 0.733080i | ||||
\(512\) | 186502. | − | 184219.i | 0.711448 | − | 0.702739i | ||||
\(513\) | 34750.9 | − | 144772.i | 0.132048 | − | 0.550112i | ||||
\(514\) | 18927.7 | − | 1642.91i | 0.0716427 | − | 0.00621853i | ||||
\(515\) | −24783.3 | + | 68091.4i | −0.0934424 | + | 0.256731i | ||||
\(516\) | 64318.7 | + | 177469.i | 0.241567 | + | 0.666536i | ||||
\(517\) | 423597. | + | 355440.i | 1.58479 | + | 1.32980i | ||||
\(518\) | 198653. | + | 198925.i | 0.740347 | + | 0.741361i | ||||
\(519\) | −93590.6 | − | 16502.6i | −0.347454 | − | 0.0612656i | ||||
\(520\) | 135889. | − | 503011.i | 0.502547 | − | 1.86025i | ||||
\(521\) | −97256.3 | − | 168453.i | −0.358296 | − | 0.620587i | 0.629380 | − | 0.777098i | \(-0.283309\pi\) |
−0.987676 | + | 0.156510i | \(0.949976\pi\) | |||||||
\(522\) | 316331. | − | 147244.i | 1.16092 | − | 0.540378i | ||||
\(523\) | 29739.6 | + | 81709.0i | 0.108726 | + | 0.298722i | 0.982109 | − | 0.188311i | \(-0.0603014\pi\) |
−0.873384 | + | 0.487033i | \(0.838079\pi\) | |||||||
\(524\) | −206021. | + | 172393.i | −0.750326 | + | 0.627850i | ||||
\(525\) | 389578. | − | 674768.i | 1.41343 | − | 2.44814i | ||||
\(526\) | −367572. | − | 32411.8i | −1.32853 | − | 0.117147i | ||||
\(527\) | 39270.1 | + | 46800.2i | 0.141397 | + | 0.168510i | ||||
\(528\) | −447736. | − | 164352.i | −1.60603 | − | 0.589531i | ||||
\(529\) | 22986.5 | + | 130363.i | 0.0821415 | + | 0.465847i | ||||
\(530\) | −71017.9 | − | 19081.3i | −0.252823 | − | 0.0679291i | ||||
\(531\) | − | 264953.i | − | 0.939681i | ||||||
\(532\) | 353062. | + | 85259.7i | 1.24746 | + | 0.301245i | ||||
\(533\) | −370982. | −1.30587 | ||||||||
\(534\) | 20172.8 | − | 75080.4i | 0.0707430 | − | 0.263296i | ||||
\(535\) | 783294. | − | 138116.i | 2.73664 | − | 0.482543i | ||||
\(536\) | −32700.9 | + | 69753.2i | −0.113823 | + | 0.242792i | ||||
\(537\) | 261800. | − | 219676.i | 0.907865 | − | 0.761789i | ||||
\(538\) | −7511.12 | + | 85181.2i | −0.0259502 | + | 0.294292i | ||||
\(539\) | −180967. | − | 104481.i | −0.622905 | − | 0.359634i | ||||
\(540\) | 197286. | − | 165083.i | 0.676565 | − | 0.566130i | ||||
\(541\) | −425227. | + | 154770.i | −1.45287 | + | 0.528801i | −0.943391 | − | 0.331683i | \(-0.892384\pi\) |
−0.509478 | + | 0.860484i | \(0.670161\pi\) | |||||||
\(542\) | 5829.34 | + | 12523.4i | 0.0198436 | + | 0.0426309i | ||||
\(543\) | −46376.6 | + | 26775.5i | −0.157289 | + | 0.0908110i | ||||
\(544\) | −32728.7 | + | 359905.i | −0.110594 | + | 1.21616i | ||||
\(545\) | −52347.2 | + | 296876.i | −0.176239 | + | 0.999498i | ||||
\(546\) | 514740. | − | 514036.i | 1.72664 | − | 1.72428i | ||||
\(547\) | 275593. | − | 328439.i | 0.921073 | − | 1.09769i | −0.0738717 | − | 0.997268i | \(-0.523536\pi\) |
0.994945 | − | 0.100424i | \(-0.0320200\pi\) | |||||||
\(548\) | 138903. | + | 383263.i | 0.462541 | + | 1.27625i | ||||
\(549\) | −288653. | − | 105061.i | −0.957706 | − | 0.348576i | ||||
\(550\) | −41635.5 | − | 479675.i | −0.137638 | − | 1.58570i | ||||
\(551\) | −113337. | + | 260684.i | −0.373309 | + | 0.858640i | ||||
\(552\) | −328936. | + | 87414.9i | −1.07953 | + | 0.286885i | ||||
\(553\) | −208705. | − | 75962.2i | −0.682467 | − | 0.248398i | ||||
\(554\) | 101501. | + | 379847.i | 0.330714 | + | 1.23763i | ||||
\(555\) | −387854. | + | 462226.i | −1.25916 | + | 1.50061i | ||||
\(556\) | 331593. | + | 279014.i | 1.07265 | + | 0.902561i | ||||
\(557\) | −67133.8 | + | 380735.i | −0.216387 | + | 1.22719i | 0.662097 | + | 0.749418i | \(0.269667\pi\) |
−0.878484 | + | 0.477772i | \(0.841444\pi\) | |||||||
\(558\) | 69499.2 | + | 32465.9i | 0.223209 | + | 0.104270i | ||||
\(559\) | −154078. | + | 88957.0i | −0.493080 | + | 0.284680i | ||||
\(560\) | 402070. | + | 481840.i | 1.28211 | + | 1.53648i | ||||
\(561\) | 617865. | − | 224884.i | 1.96321 | − | 0.714552i | ||||
\(562\) | 293032. | + | 419103.i | 0.927775 | + | 1.32693i | ||||
\(563\) | 180614. | + | 104277.i | 0.569815 | + | 0.328983i | 0.757076 | − | 0.653327i | \(-0.226627\pi\) |
−0.187260 | + | 0.982310i | \(0.559961\pi\) | |||||||
\(564\) | 1246.26 | − | 910737.i | 0.00391789 | − | 2.86309i | ||||
\(565\) | −401726. | + | 337088.i | −1.25844 | + | 1.05596i | ||||
\(566\) | −87451.7 | + | 124712.i | −0.272983 | + | 0.389293i | ||||
\(567\) | −201996. | + | 35617.4i | −0.628315 | + | 0.110789i | ||||
\(568\) | 38297.1 | − | 427626.i | 0.118705 | − | 1.32546i | ||||
\(569\) | −165446. | −0.511013 | −0.255507 | − | 0.966807i | \(-0.582242\pi\) | ||||
−0.255507 | + | 0.966807i | \(0.582242\pi\) | |||||||
\(570\) | −115725. | + | 770928.i | −0.356187 | + | 2.37282i | ||||
\(571\) | − | 196250.i | − | 0.601918i | −0.953637 | − | 0.300959i | \(-0.902693\pi\) | ||
0.953637 | − | 0.300959i | \(-0.0973068\pi\) | |||||||
\(572\) | 78665.9 | − | 442594.i | 0.240433 | − | 1.35274i | ||||
\(573\) | −142058. | − | 805654.i | −0.432671 | − | 2.45380i | ||||
\(574\) | 256537. | − | 365839.i | 0.778620 | − | 1.11037i | ||||
\(575\) | −220853. | − | 263203.i | −0.667987 | − | 0.796076i | ||||
\(576\) | 153443. | + | 427028.i | 0.462490 | + | 1.28710i | ||||
\(577\) | −24477.4 | + | 42396.0i | −0.0735212 | + | 0.127343i | −0.900442 | − | 0.434976i | \(-0.856757\pi\) |
0.826921 | + | 0.562318i | \(0.190090\pi\) | |||||||
\(578\) | −94047.4 | − | 134509.i | −0.281508 | − | 0.402622i | ||||
\(579\) | −203860. | − | 560101.i | −0.608101 | − | 1.67074i | ||||
\(580\) | −425675. | + | 244987.i | −1.26538 | + | 0.728262i | ||||
\(581\) | 5352.04 | + | 9270.00i | 0.0158550 | + | 0.0274617i | ||||
\(582\) | −18818.7 | − | 8790.99i | −0.0555577 | − | 0.0259533i | ||||
\(583\) | −62480.0 | − | 11016.9i | −0.183825 | − | 0.0324133i | ||||
\(584\) | 119266. | − | 169588.i | 0.349697 | − | 0.497243i | ||||
\(585\) | 690897. | + | 579731.i | 2.01884 | + | 1.69401i | ||||
\(586\) | −141848. | − | 530836.i | −0.413074 | − | 1.54584i | ||||
\(587\) | −61565.6 | + | 169150.i | −0.178674 | + | 0.490903i | −0.996407 | − | 0.0846947i | \(-0.973009\pi\) |
0.817733 | + | 0.575598i | \(0.195231\pi\) | |||||||
\(588\) | 59299.3 | + | 339015.i | 0.171512 | + | 0.980539i | ||||
\(589\) | −59917.9 | + | 17751.0i | −0.172713 | + | 0.0511672i | ||||
\(590\) | 32250.2 | + | 371549.i | 0.0926464 | + | 1.06736i | ||||
\(591\) | 44461.7 | − | 122157.i | 0.127295 | − | 0.349740i | ||||
\(592\) | −142384. | − | 248182.i | −0.406272 | − | 0.708152i | ||||
\(593\) | −198342. | − | 166429.i | −0.564035 | − | 0.473282i | 0.315625 | − | 0.948884i | \(-0.397786\pi\) |
−0.879660 | + | 0.475602i | \(0.842230\pi\) | |||||||
\(594\) | 157041. | − | 156826.i | 0.445082 | − | 0.444473i | ||||
\(595\) | −852006. | − | 150232.i | −2.40663 | − | 0.424353i | ||||
\(596\) | −3495.87 | + | 9564.08i | −0.00984153 | + | 0.0269247i | ||||
\(597\) | 71233.6 | + | 123380.i | 0.199865 | + | 0.346176i | ||||
\(598\) | −135372. | − | 290826.i | −0.378553 | − | 0.813261i | ||||
\(599\) | 110959. | + | 304858.i | 0.309250 | + | 0.849658i | 0.992803 | + | 0.119757i | \(0.0382116\pi\) |
−0.683553 | + | 0.729901i | \(0.739566\pi\) | |||||||
\(600\) | −561884. | + | 559582.i | −1.56079 | + | 1.55439i | ||||
\(601\) | −260677. | + | 451507.i | −0.721696 | + | 1.25001i | 0.238623 | + | 0.971112i | \(0.423304\pi\) |
−0.960319 | + | 0.278902i | \(0.910029\pi\) | |||||||
\(602\) | 18822.2 | − | 213456.i | 0.0519370 | − | 0.589001i | ||||
\(603\) | −85715.3 | − | 102152.i | −0.235735 | − | 0.280938i | ||||
\(604\) | 15538.2 | − | 26828.1i | 0.0425918 | − | 0.0735386i | ||||
\(605\) | −23409.1 | − | 132760.i | −0.0639551 | − | 0.362707i | ||||
\(606\) | −209291. | + | 778953.i | −0.569909 | + | 2.12112i | ||||
\(607\) | − | 128136.i | − | 0.347770i | −0.984766 | − | 0.173885i | \(-0.944368\pi\) | ||
0.984766 | − | 0.173885i | \(-0.0556321\pi\) | |||||||
\(608\) | −324268. | − | 177486.i | −0.877198 | − | 0.480129i | ||||
\(609\) | −685705. | −1.84885 | ||||||||
\(610\) | 417573. | + | 112194.i | 1.12221 | + | 0.301517i | ||||
\(611\) | 845343. | − | 149057.i | 2.26439 | − | 0.399273i | ||||
\(612\) | −541314. | − | 313516.i | −1.44526 | − | 0.837061i | ||||
\(613\) | 227539. | − | 190928.i | 0.605530 | − | 0.508100i | −0.287688 | − | 0.957724i | \(-0.592887\pi\) |
0.893218 | + | 0.449624i | \(0.148442\pi\) | |||||||
\(614\) | −577262. | − | 50901.9i | −1.53121 | − | 0.135020i | ||||
\(615\) | 830535. | + | 479510.i | 2.19588 | + | 1.26779i | ||||
\(616\) | 382060. | + | 383632.i | 1.00686 | + | 1.01100i | ||||
\(617\) | −508551. | + | 185098.i | −1.33587 | + | 0.486217i | −0.908510 | − | 0.417864i | \(-0.862779\pi\) |
−0.427361 | + | 0.904081i | \(0.640557\pi\) | |||||||
\(618\) | 93347.2 | − | 43450.8i | 0.244413 | − | 0.113768i | ||||
\(619\) | −184164. | + | 106327.i | −0.480645 | + | 0.277500i | −0.720685 | − | 0.693263i | \(-0.756173\pi\) |
0.240040 | + | 0.970763i | \(0.422839\pi\) | |||||||
\(620\) | −101412. | − | 37068.2i | −0.263819 | − | 0.0964312i | ||||
\(621\) | 27501.7 | − | 155970.i | 0.0713144 | − | 0.404444i | ||||
\(622\) | 201682. | + | 201958.i | 0.521298 | + | 0.522012i | ||||
\(623\) | −56728.2 | + | 67606.0i | −0.146158 | + | 0.174184i | ||||
\(624\) | −642198. | + | 368433.i | −1.64930 | + | 0.946215i | ||||
\(625\) | 140292. | + | 51062.2i | 0.359148 | + | 0.130719i | ||||
\(626\) | −759986. | + | 65966.2i | −1.93935 | + | 0.168334i | ||||
\(627\) | −41033.8 | + | 671318.i | −0.104378 | + | 1.70763i | ||||
\(628\) | 391186. | − | 68424.9i | 0.991892 | − | 0.173498i | ||||
\(629\) | 370662. | + | 134910.i | 0.936864 | + | 0.340991i | ||||
\(630\) | −1.04945e6 | + | 280431.i | −2.64413 | + | 0.706553i | ||||
\(631\) | −187868. | + | 223892.i | −0.471839 | + | 0.562316i | −0.948502 | − | 0.316770i | \(-0.897402\pi\) |
0.476663 | + | 0.879086i | \(0.341846\pi\) | |||||||
\(632\) | 184898. | + | 130034.i | 0.462912 | + | 0.325553i | ||||
\(633\) | 82744.1 | − | 469265.i | 0.206505 | − | 1.17115i | ||||
\(634\) | 62123.9 | − | 132988.i | 0.154554 | − | 0.330851i | ||||
\(635\) | 305146. | − | 176176.i | 0.756765 | − | 0.436918i | ||||
\(636\) | 52122.3 | + | 90564.4i | 0.128857 | + | 0.223895i | ||||
\(637\) | −304816. | + | 110944.i | −0.751206 | + | 0.273417i | ||||
\(638\) | −347266. | + | 242805.i | −0.853142 | + | 0.596507i | ||||
\(639\) | 643599. | + | 371582.i | 1.57621 | + | 0.910024i | ||||
\(640\) | −267154. | − | 580152.i | −0.652232 | − | 1.41639i | ||||
\(641\) | 486043. | − | 407838.i | 1.18293 | − | 0.992595i | 0.182973 | − | 0.983118i | \(-0.441428\pi\) |
0.999955 | − | 0.00947679i | \(-0.00301660\pi\) | |||||||
\(642\) | −925358. | − | 648887.i | −2.24512 | − | 1.57434i | ||||
\(643\) | 150280. | − | 26498.4i | 0.363478 | − | 0.0640910i | 0.0110735 | − | 0.999939i | \(-0.496475\pi\) |
0.352405 | + | 0.935848i | \(0.385364\pi\) | |||||||
\(644\) | 380404. | + | 67612.4i | 0.917220 | + | 0.163025i | ||||
\(645\) | 459922. | 1.10552 | ||||||||
\(646\) | 499452. | − | 101279.i | 1.19682 | − | 0.242691i | ||||
\(647\) | − | 331762.i | − | 0.792535i | −0.918135 | − | 0.396267i | \(-0.870305\pi\) | ||
0.918135 | − | 0.396267i | \(-0.129695\pi\) | |||||||
\(648\) | 207925. | + | 18621.2i | 0.495172 | + | 0.0443463i | ||||
\(649\) | 55873.0 | + | 316872.i | 0.132652 | + | 0.752305i | ||||
\(650\) | −611951. | − | 429117.i | −1.44841 | − | 1.01566i | ||||
\(651\) | −96899.1 | − | 115480.i | −0.228643 | − | 0.272486i | ||||
\(652\) | 82576.7 | + | 112.999i | 0.194251 | + | 0.000265815i | ||||
\(653\) | 98871.1 | − | 171250.i | 0.231869 | − | 0.401609i | −0.726489 | − | 0.687178i | \(-0.758849\pi\) |
0.958358 | + | 0.285569i | \(0.0921825\pi\) | |||||||
\(654\) | 351056. | − | 245454.i | 0.820769 | − | 0.573872i | ||||
\(655\) | 223859. | + | 615048.i | 0.521786 | + | 1.43359i | ||||
\(656\) | −349165. | + | 291359.i | −0.811377 | + | 0.677051i | ||||
\(657\) | 179437. | + | 310793.i | 0.415700 | + | 0.720014i | ||||
\(658\) | −437570. | + | 936697.i | −1.01064 | + | 2.16345i | ||||
\(659\) | −35676.2 | − | 6290.67i | −0.0821500 | − | 0.0144853i | 0.132422 | − | 0.991193i | \(-0.457725\pi\) |
−0.214572 | + | 0.976708i | \(0.568836\pi\) | |||||||
\(660\) | −748183. | + | 889176.i | −1.71759 | + | 2.04127i | ||||
\(661\) | 291515. | + | 244611.i | 0.667204 | + | 0.559851i | 0.912236 | − | 0.409664i | \(-0.134354\pi\) |
−0.245032 | + | 0.969515i | \(0.578799\pi\) | |||||||
\(662\) | −153201. | + | 40937.8i | −0.349580 | + | 0.0934133i | ||||
\(663\) | 349094. | − | 959128.i | 0.794174 | − | 2.18197i | ||||
\(664\) | −2798.03 | − | 10528.8i | −0.00634624 | − | 0.0238805i | ||||
\(665\) | 488412. | − | 737971.i | 1.10444 | − | 1.66877i | ||||
\(666\) | 493413. | − | 42827.9i | 1.11240 | − | 0.0965558i | ||||
\(667\) | −103419. | + | 284142.i | −0.232461 | + | 0.638680i | ||||
\(668\) | −766286. | + | 277718.i | −1.71727 | + | 0.622375i | ||||
\(669\) | 393578. | + | 330251.i | 0.879384 | + | 0.737890i | ||||
\(670\) | 132634. | + | 132816.i | 0.295465 | + | 0.295870i | ||||
\(671\) | 367371. | + | 64777.4i | 0.815943 | + | 0.143873i | ||||
\(672\) | 80758.2 | − | 888068.i | 0.178833 | − | 1.96656i | ||||
\(673\) | −171479. | − | 297010.i | −0.378600 | − | 0.655754i | 0.612259 | − | 0.790657i | \(-0.290261\pi\) |
−0.990859 | + | 0.134903i | \(0.956928\pi\) | |||||||
\(674\) | 367838. | − | 171219.i | 0.809723 | − | 0.376906i | ||||
\(675\) | −126207. | − | 346751.i | −0.276998 | − | 0.761045i | ||||
\(676\) | −154558. | − | 184708.i | −0.338219 | − | 0.404196i | ||||
\(677\) | 268329. | − | 464759.i | 0.585450 | − | 1.01403i | −0.409369 | − | 0.912369i | \(-0.634251\pi\) |
0.994819 | − | 0.101660i | \(-0.0324154\pi\) | |||||||
\(678\) | 742291. | + | 65453.8i | 1.61479 | + | 0.142389i | ||||
\(679\) | 15156.2 | + | 18062.4i | 0.0328738 | + | 0.0391775i | ||||
\(680\) | 797256. | + | 373761.i | 1.72417 | + | 0.808307i | ||||
\(681\) | 97868.5 | + | 555040.i | 0.211032 | + | 1.19682i | ||||
\(682\) | −89964.2 | − | 24171.8i | −0.193420 | − | 0.0519685i | ||||
\(683\) | − | 284151.i | − | 0.609128i | −0.952492 | − | 0.304564i | \(-0.901489\pi\) | ||
0.952492 | − | 0.304564i | \(-0.0985107\pi\) | |||||||
\(684\) | 514871. | − | 379926.i | 1.10049 | − | 0.812057i | ||||
\(685\) | 993249. | 2.11679 | ||||||||
\(686\) | −55330.5 | + | 205932.i | −0.117575 | + | 0.437599i | ||||
\(687\) | −455409. | + | 80301.0i | −0.964914 | + | 0.170140i | ||||
\(688\) | −75152.3 | + | 204734.i | −0.158769 | + | 0.432527i | ||||
\(689\) | −75444.4 | + | 63305.4i | −0.158924 | + | 0.133353i | ||||
\(690\) | −72840.2 | + | 826058.i | −0.152994 | + | 1.73505i | ||||
\(691\) | −275109. | − | 158834.i | −0.576168 | − | 0.332651i | 0.183441 | − | 0.983031i | \(-0.441276\pi\) |
−0.759609 | + | 0.650380i | \(0.774610\pi\) | |||||||
\(692\) | −70462.2 | − | 84207.3i | −0.147145 | − | 0.175848i | ||||
\(693\) | −880666. | + | 320536.i | −1.83377 | + | 0.667438i | ||||
\(694\) | −164286. | − | 352942.i | −0.341099 | − | 0.732798i | ||||
\(695\) | 914417. | − | 527939.i | 1.89311 | − | 1.09298i | ||||
\(696\) | 673735. | + | 182010.i | 1.39082 | + | 0.375730i | ||||
\(697\) | 108865. | − | 617405.i | 0.224090 | − | 1.27088i | ||||
\(698\) | −867.384 | + | 866.198i | −0.00178033 | + | 0.00177790i | ||||
\(699\) | 100478. | − | 119745.i | 0.205644 | − | 0.245077i | ||||
\(700\) | 846336. | − | 306730.i | 1.72722 | − | 0.625980i | ||||
\(701\) | 137074. | + | 49890.9i | 0.278946 | + | 0.101528i | 0.477705 | − | 0.878520i | \(-0.341469\pi\) |
−0.198759 | + | 0.980048i | \(0.563691\pi\) | |||||||
\(702\) | −29792.1 | − | 343229.i | −0.0604542 | − | 0.696482i | ||||
\(703\) | −277726. | + | 292685.i | −0.561962 | + | 0.592229i | ||||
\(704\) | −273562. | − | 478347.i | −0.551963 | − | 0.965157i | ||||
\(705\) | −2.08517e6 | − | 758940.i | −4.19530 | − | 1.52697i | ||||
\(706\) | −223871. | − | 837792.i | −0.449148 | − | 1.68084i | ||||
\(707\) | 588551. | − | 701408.i | 1.17746 | − | 1.40324i | ||||
\(708\) | 341194. | − | 405491.i | 0.680667 | − | 0.808937i | ||||
\(709\) | 100600. | − | 570530.i | 0.200126 | − | 1.13497i | −0.704800 | − | 0.709406i | \(-0.748963\pi\) |
0.904927 | − | 0.425568i | \(-0.139926\pi\) | |||||||
\(710\) | −947761. | − | 442738.i | −1.88010 | − | 0.878274i | ||||
\(711\) | −338852. | + | 195636.i | −0.670303 | + | 0.386999i | ||||
\(712\) | 73682.9 | − | 51368.3i | 0.145347 | − | 0.101329i | ||||
\(713\) | −62467.0 | + | 22736.1i | −0.122877 | + | 0.0447236i | ||||
\(714\) | 704430. | + | 1.00750e6i | 1.38179 | + | 1.97628i | ||||
\(715\) | −948533. | − | 547636.i | −1.85541 | − | 1.07122i | ||||
\(716\) | 394851. | + | 540.319i | 0.770206 | + | 0.00105396i | ||||
\(717\) | −940742. | + | 789377.i | −1.82992 | + | 1.53549i | ||||
\(718\) | −415308. | + | 592258.i | −0.805604 | + | 1.14885i | ||||
\(719\) | −180904. | + | 31898.2i | −0.349937 | + | 0.0617033i | −0.345854 | − | 0.938288i | \(-0.612411\pi\) |
−0.00408298 | + | 0.999992i | \(0.501300\pi\) | |||||||
\(720\) | 1.10557e6 | + | 3025.76i | 2.13266 | + | 0.00583673i | ||||
\(721\) | −116884. | −0.224846 | ||||||||
\(722\) | −108691. | + | 509827.i | −0.208506 | + | 0.978021i | ||||
\(723\) | − | 759763.i | − | 1.45346i | ||||||
\(724\) | −60916.0 | − | 10827.1i | −0.116213 | − | 0.0206555i | ||||
\(725\) | 122338. | + | 693814.i | 0.232748 | + | 1.31998i | ||||
\(726\) | −109979. | + | 156838.i | −0.208659 | + | 0.297563i | ||||
\(727\) | 324694. | + | 386956.i | 0.614336 | + | 0.732137i | 0.980085 | − | 0.198576i | \(-0.0636317\pi\) |
−0.365749 | + | 0.930713i | \(0.619187\pi\) | |||||||
\(728\) | 837422. | − | 71533.2i | 1.58009 | − | 0.134972i | ||||
\(729\) | −411988. | + | 713583.i | −0.775227 | + | 1.34273i | ||||
\(730\) | −289457. | − | 413991.i | −0.543174 | − | 0.776864i | ||||
\(731\) | −102832. | − | 282528.i | −0.192439 | − | 0.528721i | ||||
\(732\) | −306470. | − | 532502.i | −0.571959 | − | 0.993801i | ||||
\(733\) | 286125. | + | 495582.i | 0.532534 | + | 0.922376i | 0.999278 | + | 0.0379836i | \(0.0120935\pi\) |
−0.466744 | + | 0.884392i | \(0.654573\pi\) | |||||||
\(734\) | −575264. | − | 268729.i | −1.06776 | − | 0.498796i | ||||
\(735\) | 825805. | + | 145612.i | 1.52863 | + | 0.269539i | ||||
\(736\) | −355817. | − | 167405.i | −0.656858 | − | 0.309038i | ||||
\(737\) | 124053. | + | 104093.i | 0.228388 | + | 0.191640i | ||||
\(738\) | −203214. | − | 760485.i | −0.373113 | − | 1.39630i | ||||
\(739\) | −177299. | + | 487126.i | −0.324652 | + | 0.891975i | 0.664788 | + | 0.747032i | \(0.268522\pi\) |
−0.989440 | + | 0.144943i | \(0.953700\pi\) | |||||||
\(740\) | −686710. | + | 120117.i | −1.25404 | + | 0.219351i | ||||
\(741\) | 757355. | + | 718648.i | 1.37931 | + | 1.30882i | ||||
\(742\) | −10257.5 | − | 118174.i | −0.0186308 | − | 0.214643i | ||||
\(743\) | 321373. | − | 882966.i | 0.582146 | − | 1.59943i | −0.202359 | − | 0.979311i | \(-0.564861\pi\) |
0.784505 | − | 0.620123i | \(-0.212917\pi\) | |||||||
\(744\) | 64555.3 | + | 139184.i | 0.116623 | + | 0.251446i | ||||
\(745\) | 19006.0 | + | 15947.9i | 0.0342435 | + | 0.0287337i | ||||
\(746\) | 285626. | − | 285235.i | 0.513239 | − | 0.512537i | ||||
\(747\) | 18570.9 | + | 3274.56i | 0.0332807 | + | 0.00586829i | ||||
\(748\) | 713500. | + | 260799.i | 1.27524 | + | 0.466125i | ||||
\(749\) | 641494. | + | 1.11110e6i | 1.14348 | + | 1.98057i | ||||
\(750\) | 245797. | + | 528056.i | 0.436972 | + | 0.938766i | ||||
\(751\) | 63578.9 | + | 174682.i | 0.112728 | + | 0.309719i | 0.983209 | − | 0.182485i | \(-0.0584140\pi\) |
−0.870480 | + | 0.492203i | \(0.836192\pi\) | |||||||
\(752\) | 678563. | − | 804200.i | 1.19993 | − | 1.42209i | ||||
\(753\) | 615947. | − | 1.06685e6i | 1.08631 | − | 1.88154i | ||||
\(754\) | −57776.7 | + | 655227.i | −0.101627 | + | 1.15252i | ||||
\(755\) | −48554.8 | − | 57865.4i | −0.0851801 | − | 0.101514i | ||||
\(756\) | 359072. | + | 207966.i | 0.628258 | + | 0.363872i | ||||
\(757\) | −155855. | − | 883899.i | −0.271975 | − | 1.54245i | −0.748408 | − | 0.663239i | \(-0.769181\pi\) |
0.476433 | − | 0.879211i | \(-0.341930\pi\) | |||||||
\(758\) | 83001.2 | − | 308919.i | 0.144459 | − | 0.537658i | ||||
\(759\) | 715448.i | 1.24192i | ||||||||
\(760\) | −675769. | + | 595447.i | −1.16996 | + | 1.03090i | ||||
\(761\) | −406897. | −0.702611 | −0.351306 | − | 0.936261i | \(-0.614262\pi\) | ||||
−0.351306 | + | 0.936261i | \(0.614262\pi\) | |||||||
\(762\) | −483529. | − | 129916.i | −0.832745 | − | 0.223744i | ||||
\(763\) | −478878. | + | 84439.1i | −0.822575 | + | 0.145042i | ||||
\(764\) | 473709. | − | 817901.i | 0.811568 | − | 1.40125i | ||||
\(765\) | −1.16756e6 | + | 979698.i | −1.99506 | + | 1.67405i | ||||
\(766\) | 622557. | + | 54895.9i | 1.06102 | + | 0.0935584i | ||||
\(767\) | 432559. | + | 249738.i | 0.735284 | + | 0.424516i | ||||
\(768\) | −315073. | + | 851130.i | −0.534181 | + | 1.44302i | ||||
\(769\) | −750250. | + | 273069.i | −1.26868 | + | 0.461763i | −0.886674 | − | 0.462395i | \(-0.846990\pi\) |
−0.382010 | + | 0.924158i | \(0.624768\pi\) | |||||||
\(770\) | 1.19596e6 | − | 556689.i | 2.01714 | − | 0.938926i | ||||
\(771\) | −56964.1 | + | 32888.3i | −0.0958281 | + | 0.0553264i | ||||
\(772\) | 236417. | − | 646796.i | 0.396684 | − | 1.08526i | ||||
\(773\) | 134823. | − | 764620.i | 0.225634 | − | 1.27964i | −0.635834 | − | 0.771826i | \(-0.719344\pi\) |
0.861469 | − | 0.507811i | \(-0.169545\pi\) | |||||||
\(774\) | −266755. | − | 267120.i | −0.445277 | − | 0.445887i | ||||
\(775\) | −99557.6 | + | 118648.i | −0.165757 | + | 0.197541i | ||||
\(776\) | −10097.2 | − | 21770.1i | −0.0167679 | − | 0.0361524i | ||||
\(777\) | −914610. | − | 332891.i | −1.51493 | − | 0.551391i | ||||
\(778\) | −406647. | + | 35296.7i | −0.671828 | + | 0.0583142i | ||||
\(779\) | 534770. | + | 353927.i | 0.881235 | + | 0.583228i | ||||
\(780\) | 310816. | + | 1.77694e6i | 0.510874 | + | 2.92067i | ||||
\(781\) | −848073. | − | 308673.i | −1.39037 | − | 0.506054i | ||||
\(782\) | 523729. | − | 139949.i | 0.856433 | − | 0.228853i | ||||
\(783\) | −208743. | + | 248771.i | −0.340478 | + | 0.405766i | ||||
\(784\) | −199757. | + | 343814.i | −0.324991 | + | 0.559359i | ||||
\(785\) | 168020. | − | 952888.i | 0.272660 | − | 1.54633i | ||||
\(786\) | 393630. | − | 842637.i | 0.637152 | − | 1.36394i | ||||
\(787\) | −965470. | + | 557414.i | −1.55880 | + | 0.899971i | −0.561424 | + | 0.827529i | \(0.689746\pi\) |
−0.997373 | + | 0.0724427i | \(0.976921\pi\) | |||||||
\(788\) | 130174. | − | 74918.7i | 0.209639 | − | 0.120653i | ||||
\(789\) | 1.20047e6 | − | 436936.i | 1.92841 | − | 0.701882i | ||||
\(790\) | 451366. | − | 315590.i | 0.723227 | − | 0.505672i | ||||
\(791\) | −732581. | − | 422956.i | −1.17085 | − | 0.675993i | ||||
\(792\) | 950375. | − | 81181.7i | 1.51511 | − | 0.129422i | ||||
\(793\) | 443599. | − | 372224.i | 0.705414 | − | 0.591913i | ||||
\(794\) | 814262. | + | 570983.i | 1.29159 | + | 0.905696i | ||||
\(795\) | 250725. | − | 44209.7i | 0.396702 | − | 0.0699492i | ||||
\(796\) | −28804.4 | + | 162061.i | −0.0454604 | + | 0.255771i | ||||
\(797\) | 820150. | 1.29115 | 0.645575 | − | 0.763697i | \(-0.276618\pi\) | ||||
0.645575 | + | 0.763697i | \(0.276618\pi\) | |||||||
\(798\) | −1.23240e6 | + | 249906.i | −1.93529 | + | 0.392437i | ||||
\(799\) | 1.45060e6i | 2.27224i | ||||||||
\(800\) | −912979. | + | 76729.0i | −1.42653 | + | 0.119889i | ||||
\(801\) | 26998.2 | + | 153115.i | 0.0420795 | + | 0.238645i | ||||
\(802\) | 868847. | + | 609259.i | 1.35081 | + | 0.947226i | ||||
\(803\) | −280137. | − | 333855.i | −0.434450 | − | 0.517758i | ||||
\(804\) | 364.977 | − | 266715.i | 0.000564616 | − | 0.412606i | ||||
\(805\) | 470686. | − | 815252.i | 0.726340 | − | 1.25806i | ||||
\(806\) | −118512. | + | 82862.0i | −0.182428 | + | 0.127551i | ||||
\(807\) | −101256. | − | 278198.i | −0.155479 | − | 0.427176i | ||||
\(808\) | −764455. | + | 532942.i | −1.17093 | + | 0.816314i | ||||
\(809\) | 273925. | + | 474452.i | 0.418538 | + | 0.724928i | 0.995793 | − | 0.0916356i | \(-0.0292095\pi\) |
−0.577255 | + | 0.816564i | \(0.695876\pi\) | |||||||
\(810\) | 215272. | − | 460829.i | 0.328109 | − | 0.702376i | ||||
\(811\) | 545008. | + | 96099.7i | 0.828632 | + | 0.146110i | 0.571849 | − | 0.820359i | \(-0.306226\pi\) |
0.256783 | + | 0.966469i | \(0.417338\pi\) | |||||||
\(812\) | −606190. | − | 510069.i | −0.919384 | − | 0.773601i | ||||
\(813\) | −36635.8 | − | 30741.1i | −0.0554275 | − | 0.0465092i | ||||
\(814\) | −581068. | + | 155271.i | −0.876956 | + | 0.234337i | ||||
\(815\) | 68813.2 | − | 189063.i | 0.103599 | − | 0.284637i | ||||
\(816\) | −424709. | − | 1.17689e6i | −0.637839 | − | 1.76749i | ||||
\(817\) | 306970. | + | 18763.3i | 0.459888 | + | 0.0281103i | ||||
\(818\) | 325250. | − | 28231.5i | 0.486084 | − | 0.0421917i | ||||
\(819\) | −497577. | + | 1.36708e6i | −0.741810 | + | 2.03811i | ||||
\(820\) | 377537. | + | 1.04171e6i | 0.561477 | + | 1.54924i | ||||
\(821\) | −491866. | − | 412725.i | −0.729727 | − | 0.612314i | 0.200330 | − | 0.979728i | \(-0.435799\pi\) |
−0.930057 | + | 0.367415i | \(0.880243\pi\) | |||||||
\(822\) | −997301. | − | 998666.i | −1.47599 | − | 1.47801i | ||||
\(823\) | −506938. | − | 89386.8i | −0.748437 | − | 0.131970i | −0.213595 | − | 0.976922i | \(-0.568517\pi\) |
−0.534841 | + | 0.844953i | \(0.679629\pi\) | |||||||
\(824\) | 114844. | + | 31025.1i | 0.169143 | + | 0.0456940i | ||||
\(825\) | 833470. | + | 1.44361e6i | 1.22457 | + | 2.12101i | ||||
\(826\) | −545394. | + | 253867.i | −0.799374 | + | 0.372088i | ||||
\(827\) | 114256. | + | 313917.i | 0.167059 | + | 0.458991i | 0.994767 | − | 0.102168i | \(-0.0325779\pi\) |
−0.827708 | + | 0.561159i | \(0.810356\pi\) | |||||||
\(828\) | 522017. | − | 436808.i | 0.761419 | − | 0.637133i | ||||
\(829\) | 77098.2 | − | 133538.i | 0.112185 | − | 0.194310i | −0.804466 | − | 0.593999i | \(-0.797548\pi\) |
0.916651 | + | 0.399689i | \(0.130882\pi\) | |||||||
\(830\) | −26441.0 | − | 2331.52i | −0.0383815 | − | 0.00338441i | ||||
\(831\) | −874976. | − | 1.04276e6i | −1.26705 | − | 1.51001i | ||||
\(832\) | −841792. | − | 151996.i | −1.21607 | − | 0.219577i | ||||
\(833\) | −95189.2 | − | 539845.i | −0.137182 | − | 0.777999i | ||||
\(834\) | −1.44897e6 | − | 389312.i | −2.08318 | − | 0.559713i | ||||
\(835\) | 1.98587e6i | 2.84825i | ||||||||
\(836\) | −535643. | + | 562948.i | −0.766413 | + | 0.805482i | ||||
\(837\) | −71393.8 | −0.101908 | ||||||||
\(838\) | 17082.2 | − | 63577.7i | 0.0243252 | − | 0.0905350i | ||||
\(839\) | −811371. | + | 143067.i | −1.15265 | + | 0.203242i | −0.717130 | − | 0.696939i | \(-0.754545\pi\) |
−0.435515 | + | 0.900181i | \(0.643434\pi\) | |||||||
\(840\) | −1.96723e6 | − | 922257.i | −2.78803 | − | 1.30705i | ||||
\(841\) | −66846.9 | + | 56091.2i | −0.0945125 | + | 0.0793054i | ||||
\(842\) | −79462.1 | + | 901154.i | −0.112082 | + | 1.27109i | ||||
\(843\) | −1.53328e6 | − | 885241.i | −2.15758 | − | 1.24568i | ||||
\(844\) | 422217. | − | 353299.i | 0.592722 | − | 0.495972i | ||||
\(845\) | −551419. | + | 200700.i | −0.772269 | + | 0.281083i | ||||
\(846\) | 768611. | + | 1.65124e6i | 1.07390 | + | 2.30712i | ||||
\(847\) | 188320. | − | 108726.i | 0.262500 | − | 0.151554i | ||||
\(848\) | −21289.2 | + | 118834.i | −0.0296052 | + | 0.165253i | ||||
\(849\) | 91572.7 | − | 519335.i | 0.127043 | − | 0.720497i | ||||
\(850\) | 893733. | − | 892511.i | 1.23700 | − | 1.23531i | ||||
\(851\) | −275886. | + | 328788.i | −0.380952 | + | 0.454001i | ||||
\(852\) | 506474. | + | 1.39747e6i | 0.697715 | + | 1.92515i | ||||
\(853\) | 713521. | + | 259700.i | 0.980638 | + | 0.356923i | 0.782088 | − | 0.623168i | \(-0.214155\pi\) |
0.198550 | + | 0.980091i | \(0.436377\pi\) | |||||||
\(854\) | 60312.0 | + | 694844.i | 0.0826966 | + | 0.952734i | ||||
\(855\) | −442846. | − | 1.49481e6i | −0.605788 | − | 2.04482i | ||||
\(856\) | −335372. | − | 1.26198e6i | −0.457698 | − | 1.72228i | ||||
\(857\) | 520759. | + | 189541.i | 0.709048 | + | 0.258072i | 0.671269 | − | 0.741214i | \(-0.265750\pi\) |
0.0377787 | + | 0.999286i | \(0.487972\pi\) | |||||||
\(858\) | 401780. | + | 1.50358e6i | 0.545775 | + | 2.04245i | ||||
\(859\) | 355835. | − | 424068.i | 0.482239 | − | 0.574710i | −0.468987 | − | 0.883205i | \(-0.655381\pi\) |
0.951226 | + | 0.308495i | \(0.0998254\pi\) | |||||||
\(860\) | 406589. | + | 342118.i | 0.549742 | + | 0.462572i | ||||
\(861\) | −268625. | + | 1.52345e6i | −0.362360 | + | 2.05505i | ||||
\(862\) | 852564. | + | 398268.i | 1.14739 | + | 0.535995i | ||||
\(863\) | −146660. | + | 84674.0i | −0.196920 | + | 0.113692i | −0.595218 | − | 0.803564i | \(-0.702934\pi\) |
0.398298 | + | 0.917256i | \(0.369601\pi\) | |||||||
\(864\) | −297603. | − | 299646.i | −0.398666 | − | 0.401403i | ||||
\(865\) | −251389. | + | 91498.1i | −0.335980 | + | 0.122287i | ||||
\(866\) | −529355. | − | 757099.i | −0.705848 | − | 1.00952i | ||||
\(867\) | 492100. | + | 284114.i | 0.654660 | + | 0.377968i | ||||
\(868\) | 238.334 | − | 174168.i | 0.000316335 | − | 0.231169i | ||||
\(869\) | 363996. | − | 305429.i | 0.482011 | − | 0.404455i | ||||
\(870\) | 976254. | − | 1.39221e6i | 1.28981 | − | 1.83935i | ||||
\(871\) | 247564. | − | 43652.3i | 0.326326 | − | 0.0575401i | ||||
\(872\) | 492931. | + | 44145.6i | 0.648266 | + | 0.0580570i | ||||
\(873\) | 41539.0 | 0.0545038 | ||||||||
\(874\) | −82317.0 | + | 548372.i | −0.107762 | + | 0.717881i | ||||
\(875\) | − | 661203.i | − | 0.863612i | ||||||
\(876\) | −125610. | + | 706716.i | −0.163688 | + | 0.920951i | ||||
\(877\) | −184462. | − | 1.04614e6i | −0.239832 | − | 1.36016i | −0.832194 | − | 0.554484i | \(-0.812915\pi\) |
0.592362 | − | 0.805672i | \(-0.298196\pi\) | |||||||
\(878\) | 33791.8 | − | 48189.5i | 0.0438351 | − | 0.0625120i | ||||
\(879\) | 1.22278e6 | + | 1.45725e6i | 1.58259 | + | 1.88606i | ||||
\(880\) | −1.32285e6 | + | 229523.i | −1.70822 | + | 0.296388i | ||||
\(881\) | −657002. | + | 1.13796e6i | −0.846477 | + | 1.46614i | 0.0378553 | + | 0.999283i | \(0.487947\pi\) |
−0.884332 | + | 0.466858i | \(0.845386\pi\) | |||||||
\(882\) | −394396. | − | 564077.i | −0.506986 | − | 0.725106i | ||||
\(883\) | 252526. | + | 693809.i | 0.323880 | + | 0.889853i | 0.989625 | + | 0.143674i | \(0.0458916\pi\) |
−0.665745 | + | 0.746179i | \(0.731886\pi\) | |||||||
\(884\) | 1.02207e6 | − | 588230.i | 1.30791 | − | 0.752736i | ||||
\(885\) | −645594. | − | 1.11820e6i | −0.824276 | − | 1.42769i | ||||
\(886\) | 596386. | + | 278596.i | 0.759731 | + | 0.354902i | ||||
\(887\) | −1.38249e6 | − | 243770.i | −1.75717 | − | 0.309837i | −0.800139 | − | 0.599815i | \(-0.795241\pi\) |
−0.957033 | + | 0.289978i | \(0.906352\pi\) | |||||||
\(888\) | 810284. | + | 569849.i | 1.02757 | + | 0.722660i | ||||
\(889\) | 435393. | + | 365338.i | 0.550906 | + | 0.462265i | ||||
\(890\) | −56497.3 | − | 211429.i | −0.0713260 | − | 0.266923i | ||||
\(891\) | 150086. | − | 412358.i | 0.189054 | − | 0.519420i | ||||
\(892\) | 102277. | + | 584722.i | 0.128544 | + | 0.734886i | ||||
\(893\) | −1.36076e6 | − | 591615.i | −1.70640 | − | 0.741884i | ||||
\(894\) | −3048.62 | − | 35122.6i | −0.00381442 | − | 0.0439453i | ||||
\(895\) | 329039. | − | 904027.i | 0.410772 | − | 1.12859i | ||||
\(896\) | 731993. | − | 725015.i | 0.911782 | − | 0.903090i | ||||
\(897\) | 850776. | + | 713886.i | 1.05738 | + | 0.887246i | ||||
\(898\) | −302722. | + | 302308.i | −0.375397 | + | 0.374884i | ||||
\(899\) | 134237. | + | 23669.6i | 0.166093 | + | 0.0292867i | ||||
\(900\) | 544447. | − | 1.48951e6i | 0.672157 | − | 1.83890i | ||||
\(901\) | −83216.3 | − | 144135.i | −0.102508 | − | 0.177549i | ||||
\(902\) | 403404. | + | 866651.i | 0.495824 | + | 1.06520i | ||||
\(903\) | 253738. | + | 697139.i | 0.311179 | + | 0.854956i | ||||
\(904\) | 607526. | + | 610025.i | 0.743409 | + | 0.746468i | ||||
\(905\) | −75373.3 | + | 130550.i | −0.0920281 | + | 0.159397i | ||||
\(906\) | −9428.10 | + | 106921.i | −0.0114860 | + | 0.130259i | ||||
\(907\) | 254808. | + | 303668.i | 0.309741 | + | 0.369135i | 0.898348 | − | 0.439285i | \(-0.144768\pi\) |
−0.588607 | + | 0.808419i | \(0.700324\pi\) | |||||||
\(908\) | −326353. | + | 563478.i | −0.395836 | + | 0.683447i | ||||
\(909\) | −280105. | − | 1.58855e6i | −0.338994 | − | 1.92253i | ||||
\(910\) | 531361. | − | 1.97765e6i | 0.641662 | − | 2.38818i | ||||
\(911\) | − | 612066.i | − | 0.737499i | −0.929529 | − | 0.368749i | \(-0.879786\pi\) | ||
0.929529 | − | 0.368749i | \(-0.120214\pi\) | |||||||
\(912\) | 1.27722e6 | + | 81578.4i | 1.53559 | + | 0.0980811i | ||||
\(913\) | −22900.5 | −0.0274728 | ||||||||
\(914\) | −934415. | − | 251061.i | −1.11853 | − | 0.300529i | ||||
\(915\) | −1.47422e6 | + | 259945.i | −1.76084 | + | 0.310484i | ||||
\(916\) | −462333. | − | 267772.i | −0.551015 | − | 0.319135i | ||||
\(917\) | −808773. | + | 678641.i | −0.961807 | + | 0.807052i | ||||
\(918\) | 579960. | + | 51139.8i | 0.688196 | + | 0.0606839i | ||||
\(919\) | −314159. | − | 181380.i | −0.371979 | − | 0.214762i | 0.302344 | − | 0.953199i | \(-0.402231\pi\) |
−0.674323 | + | 0.738437i | \(0.735564\pi\) | |||||||
\(920\) | −678866. | + | 676085.i | −0.802063 | + | 0.798777i | ||||
\(921\) | 1.88531e6 | − | 686197.i | 2.22261 | − | 0.808965i | ||||
\(922\) | 216096. | − | 100587.i | 0.254206 | − | 0.118326i | ||||
\(923\) | −1.21328e6 | + | 700488.i | −1.42416 | + | 0.822237i | ||||
\(924\) | −1.76056e6 | − | 643523.i | −2.06209 | − | 0.753737i | ||||
\(925\) | −173650. | + | 984818.i | −0.202951 | + | 1.15099i | ||||
\(926\) | −830270. | − | 831407.i | −0.968272 | − | 0.969598i | ||||
\(927\) | −132360. | + | 157741.i | −0.154027 | + | 0.183563i | ||||
\(928\) | 460218. | + | 662069.i | 0.534402 | + | 0.768789i | ||||
\(929\) | 529033. | + | 192552.i | 0.612987 | + | 0.223109i | 0.629810 | − | 0.776749i | \(-0.283133\pi\) |
−0.0168224 | + | 0.999858i | \(0.505355\pi\) | |||||||
\(930\) | 372420. | − | 32325.8i | 0.430593 | − | 0.0373752i | ||||
\(931\) | 545235. | + | 130877.i | 0.629049 | + | 0.150996i | ||||
\(932\) | 177900. | − | 31117.6i | 0.204806 | − | 0.0358240i | ||||
\(933\) | −928556. | − | 337967.i | −1.06671 | − | 0.388249i | ||||
\(934\) | 273615. | − | 73114.3i | 0.313650 | − | 0.0838124i | ||||
\(935\) | 1.18975e6 | − | 1.41789e6i | 1.36092 | − | 1.62188i | ||||
\(936\) | 851762. | − | 1.21114e6i | 0.972225 | − | 1.38243i | ||||
\(937\) | −239883. | + | 1.36044e6i | −0.273225 | + | 1.54954i | 0.471319 | + | 0.881963i | \(0.343778\pi\) |
−0.744544 | + | 0.667573i | \(0.767333\pi\) | |||||||
\(938\) | −128145. | + | 274318.i | −0.145645 | + | 0.311780i | ||||
\(939\) | 2.28723e6 | − | 1.32053e6i | 2.59405 | − | 1.49767i | ||||
\(940\) | −1.27883e6 | − | 2.22201e6i | −1.44729 | − | 2.51472i | ||||
\(941\) | 621529. | − | 226218.i | 0.701911 | − | 0.255475i | 0.0336843 | − | 0.999433i | \(-0.489276\pi\) |
0.668227 | + | 0.743958i | \(0.267054\pi\) | |||||||
\(942\) | −1.12679e6 | + | 787839.i | −1.26982 | + | 0.887842i | ||||
\(943\) | 590772. | + | 341082.i | 0.664349 | + | 0.383562i | ||||
\(944\) | 603258. | − | 104669.i | 0.676954 | − | 0.117456i | ||||
\(945\) | 774482. | − | 649868.i | 0.867257 | − | 0.727715i | ||||
\(946\) | 375356. | + | 263210.i | 0.419431 | + | 0.294117i | ||||
\(947\) | −29499.2 | + | 5201.50i | −0.0328935 | + | 0.00580001i | −0.190071 | − | 0.981770i | \(-0.560872\pi\) |
0.157177 | + | 0.987570i | \(0.449761\pi\) | |||||||
\(948\) | −770519. | − | 136951.i | −0.857366 | − | 0.152387i | ||||
\(949\) | −676530. | −0.751198 | ||||||||
\(950\) | 472736. | + | 1.20239e6i | 0.523808 | + | 1.33229i | ||||
\(951\) | 508179.i | 0.561896i | ||||||||
\(952\) | −126694. | + | 1.41467e6i | −0.139792 | + | 1.56092i | ||||
\(953\) | 228263. | + | 1.29454e6i | 0.251333 | + | 1.42538i | 0.805313 | + | 0.592849i | \(0.201997\pi\) |
−0.553981 | + | 0.832530i | \(0.686892\pi\) | |||||||
\(954\) | −171097. | − | 119978.i | −0.187995 | − | 0.131827i | ||||
\(955\) | −1.48028e6 | − | 1.76413e6i | −1.62307 | − | 1.93430i | ||||
\(956\) | −1.41884e6 | − | 1941.56i | −1.55245 | − | 0.00212439i | ||||
\(957\) | 733505. | − | 1.27047e6i | 0.800902 | − | 1.38720i | ||||
\(958\) | 609968. | − | 426482.i | 0.664624 | − | 0.464697i | ||||
\(959\) | 547973. | + | 1.50554e6i | 0.595830 | + | 1.63703i | ||||
\(960\) | 1.68810e6 | + | 1.42833e6i | 1.83170 | + | 1.54984i | ||||
\(961\) | −446777. | − | 773841.i | −0.483776 | − | 0.837925i | ||||
\(962\) | −395159. | + | 845909.i | −0.426994 | + | 0.914058i | ||||
\(963\) | 2.22591e6 | + | 392488.i | 2.40024 | + | 0.423228i | ||||
\(964\) | 565158. | − | 671661.i | 0.608158 | − | 0.722763i | ||||
\(965\) | −1.28533e6 | − | 1.07852e6i | −1.38026 | − | 1.15817i | ||||
\(966\) | −1.29231e6 | + | 345325.i | −1.38488 | + | 0.370061i | ||||
\(967\) | 337875. | − | 928305.i | 0.361330 | − | 0.992745i | −0.617230 | − | 0.786783i | \(-0.711745\pi\) |
0.978560 | − | 0.205962i | \(-0.0660325\pi\) | |||||||
\(968\) | −213892. | + | 56841.9i | −0.228267 | + | 0.0606622i | ||||
\(969\) | −1.41825e6 | + | 1.04953e6i | −1.51045 | + | 1.11776i | ||||
\(970\) | −58250.9 | + | 5056.13i | −0.0619098 | + | 0.00537372i | ||||
\(971\) | 53889.8 | − | 148061.i | 0.0571568 | − | 0.157037i | −0.907828 | − | 0.419343i | \(-0.862261\pi\) |
0.964985 | + | 0.262306i | \(0.0844828\pi\) | |||||||
\(972\) | −1.18201e6 | + | 428385.i | −1.25109 | + | 0.453421i | ||||
\(973\) | 1.30472e6 | + | 1.09479e6i | 1.37813 | + | 1.15639i | ||||
\(974\) | 684462. | + | 685399.i | 0.721492 | + | 0.722480i | ||||
\(975\) | 2.54833e6 | + | 449339.i | 2.68068 | + | 0.472677i | ||||
\(976\) | 125177. | − | 698724.i | 0.131408 | − | 0.733510i | ||||
\(977\) | 222534. | + | 385440.i | 0.233135 | + | 0.403801i | 0.958729 | − | 0.284322i | \(-0.0917683\pi\) |
−0.725594 | + | 0.688123i | \(0.758435\pi\) | |||||||
\(978\) | −259188. | + | 120646.i | −0.270980 | + | 0.126134i | ||||
\(979\) | −64577.2 | − | 177424.i | −0.0673773 | − | 0.185118i | ||||
\(980\) | 621730. | + | 743011.i | 0.647365 | + | 0.773647i | ||||
\(981\) | −428328. | + | 741886.i | −0.445081 | + | 0.770902i | ||||
\(982\) | −283864. | − | 25030.6i | −0.294366 | − | 0.0259566i | ||||
\(983\) | 764456. | + | 911043.i | 0.791125 | + | 0.942827i | 0.999379 | − | 0.0352484i | \(-0.0112222\pi\) |
−0.208253 | + | 0.978075i | \(0.566778\pi\) | |||||||
\(984\) | 668313. | − | 1.42555e6i | 0.690223 | − | 1.47229i | ||||
\(985\) | −63545.4 | − | 360384.i | −0.0654955 | − | 0.371443i | ||||
\(986\) | −1.07350e6 | − | 288432.i | −1.10420 | − | 0.296680i | ||||
\(987\) | − | 3.57936e6i | − | 3.67427i | ||||||
\(988\) | 134957. | + | 1.19868e6i | 0.138256 | + | 1.22797i | ||||
\(989\) | 327149. | 0.334467 | ||||||||
\(990\) | 603031. | − | 2.24440e6i | 0.615275 | − | 2.28997i | ||||
\(991\) | 613671. | − | 108207.i | 0.624868 | − | 0.110181i | 0.147756 | − | 0.989024i | \(-0.452795\pi\) |
0.477111 | + | 0.878843i | \(0.341684\pi\) | |||||||
\(992\) | −46464.5 | + | 171065.i | −0.0472169 | + | 0.173835i | ||||
\(993\) | 420568. | − | 352898.i | 0.426518 | − | 0.357891i | ||||
\(994\) | 148214. | − | 1.68085e6i | 0.150009 | − | 1.70120i | ||||
\(995\) | 347316. | + | 200523.i | 0.350816 | + | 0.202543i | ||||
\(996\) | 24204.6 | + | 28926.2i | 0.0243994 | + | 0.0291590i | ||||
\(997\) | −630545. | + | 229500.i | −0.634345 | + | 0.230883i | −0.639121 | − | 0.769106i | \(-0.720702\pi\) |
0.00477622 | + | 0.999989i | \(0.498480\pi\) | |||||||
\(998\) | −323025. | − | 693968.i | −0.324321 | − | 0.696752i | ||||
\(999\) | −399199. | + | 230477.i | −0.399998 | + | 0.230939i |
(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 | 76.5.l.a.23.4 | ✓ | 228 | |
4.3 | odd | 2 | inner | 76.5.l.a.23.5 | yes | 228 | |
19.5 | even | 9 | inner | 76.5.l.a.43.5 | yes | 228 | |
76.43 | odd | 18 | inner | 76.5.l.a.43.4 | yes | 228 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.5.l.a.23.4 | ✓ | 228 | 1.1 | even | 1 | trivial | |
76.5.l.a.23.5 | yes | 228 | 4.3 | odd | 2 | inner | |
76.5.l.a.43.4 | yes | 228 | 76.43 | odd | 18 | inner | |
76.5.l.a.43.5 | yes | 228 | 19.5 | even | 9 | inner |