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 | 23.13 | ||
Character | \(\chi\) | \(=\) | 76.23 |
Dual form | 76.5.l.a.43.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.54434 | − | 3.68985i | −0.386084 | − | 0.922463i | ||||
\(3\) | 12.3954 | − | 2.18564i | 1.37726 | − | 0.242849i | 0.564496 | − | 0.825436i | \(-0.309070\pi\) |
0.812769 | + | 0.582587i | \(0.197959\pi\) | |||||||
\(4\) | −11.2300 | + | 11.3968i | −0.701878 | + | 0.712297i | ||||
\(5\) | −26.3005 | + | 22.0687i | −1.05202 | + | 0.882749i | −0.993305 | − | 0.115526i | \(-0.963145\pi\) |
−0.0587151 | + | 0.998275i | \(0.518700\pi\) | |||||||
\(6\) | −27.2074 | − | 42.3618i | −0.755760 | − | 1.17672i | ||||
\(7\) | 82.9404 | + | 47.8857i | 1.69266 | + | 0.977259i | 0.952356 | + | 0.304989i | \(0.0986528\pi\) |
0.740306 | + | 0.672270i | \(0.234681\pi\) | |||||||
\(8\) | 59.3954 | + | 23.8368i | 0.928052 | + | 0.372450i | ||||
\(9\) | 72.7534 | − | 26.4801i | 0.898190 | − | 0.326914i | ||||
\(10\) | 122.047 | + | 62.9634i | 1.22047 | + | 0.629634i | ||||
\(11\) | 45.2460 | − | 26.1228i | 0.373934 | − | 0.215891i | −0.301242 | − | 0.953548i | \(-0.597401\pi\) |
0.675176 | + | 0.737657i | \(0.264068\pi\) | |||||||
\(12\) | −114.291 | + | 165.812i | −0.793691 | + | 1.15147i | ||||
\(13\) | −18.4064 | + | 104.388i | −0.108914 | + | 0.617680i | 0.880671 | + | 0.473728i | \(0.157092\pi\) |
−0.989585 | + | 0.143952i | \(0.954019\pi\) | |||||||
\(14\) | 48.6031 | − | 379.990i | 0.247975 | − | 1.93872i | ||||
\(15\) | −277.770 | + | 331.034i | −1.23453 | + | 1.47126i | ||||
\(16\) | −3.77227 | − | 255.972i | −0.0147354 | − | 0.999891i | ||||
\(17\) | 172.470 | + | 62.7741i | 0.596784 | + | 0.217211i | 0.622710 | − | 0.782452i | \(-0.286031\pi\) |
−0.0259268 | + | 0.999664i | \(0.508254\pi\) | |||||||
\(18\) | −210.063 | − | 227.555i | −0.648344 | − | 0.702331i | ||||
\(19\) | −360.978 | + | 3.95319i | −0.999940 | + | 0.0109507i | ||||
\(20\) | 43.8436 | − | 547.573i | 0.109609 | − | 1.36893i | ||||
\(21\) | 1132.74 | + | 412.283i | 2.56857 | + | 0.934883i | ||||
\(22\) | −166.264 | − | 126.609i | −0.343521 | − | 0.261588i | ||||
\(23\) | 430.190 | − | 512.681i | 0.813214 | − | 0.969151i | −0.186698 | − | 0.982417i | \(-0.559778\pi\) |
0.999912 | + | 0.0132663i | \(0.00422292\pi\) | |||||||
\(24\) | 788.327 | + | 165.649i | 1.36862 | + | 0.287585i | ||||
\(25\) | 96.1568 | − | 545.332i | 0.153851 | − | 0.872531i | ||||
\(26\) | 413.602 | − | 93.2932i | 0.611837 | − | 0.138008i | ||||
\(27\) | −38.9953 | + | 22.5139i | −0.0534915 | + | 0.0308833i | ||||
\(28\) | −1477.17 | + | 407.494i | −1.88414 | + | 0.519763i | ||||
\(29\) | 159.392 | − | 58.0139i | 0.189527 | − | 0.0689821i | −0.245513 | − | 0.969393i | \(-0.578956\pi\) |
0.435040 | + | 0.900411i | \(0.356734\pi\) | |||||||
\(30\) | 1650.44 | + | 513.704i | 1.83382 | + | 0.570782i | ||||
\(31\) | 1324.70 | + | 764.813i | 1.37846 | + | 0.795852i | 0.991974 | − | 0.126445i | \(-0.0403568\pi\) |
0.386482 | + | 0.922297i | \(0.373690\pi\) | |||||||
\(32\) | −938.674 | + | 409.227i | −0.916674 | + | 0.399635i | ||||
\(33\) | 503.746 | − | 422.693i | 0.462577 | − | 0.388148i | ||||
\(34\) | −34.7253 | − | 733.335i | −0.0300392 | − | 0.634373i | ||||
\(35\) | −3238.15 | + | 570.973i | −2.64339 | + | 0.466101i | ||||
\(36\) | −515.237 | + | 1126.53i | −0.397559 | + | 0.869233i | ||||
\(37\) | −1216.54 | −0.888634 | −0.444317 | − | 0.895870i | \(-0.646554\pi\) | ||||
−0.444317 | + | 0.895870i | \(0.646554\pi\) | |||||||
\(38\) | 572.059 | + | 1325.85i | 0.396163 | + | 0.918180i | ||||
\(39\) | 1334.16i | 0.877158i | ||||||||
\(40\) | −2088.17 | + | 683.861i | −1.30511 | + | 0.427413i | ||||
\(41\) | −426.483 | − | 2418.70i | −0.253708 | − | 1.43885i | −0.799368 | − | 0.600842i | \(-0.794832\pi\) |
0.545660 | − | 0.838007i | \(-0.316279\pi\) | |||||||
\(42\) | −228.066 | − | 4816.35i | −0.129289 | − | 2.73036i | ||||
\(43\) | −32.3779 | − | 38.5864i | −0.0175110 | − | 0.0208688i | 0.757218 | − | 0.653162i | \(-0.226558\pi\) |
−0.774729 | + | 0.632294i | \(0.782114\pi\) | |||||||
\(44\) | −210.399 | + | 809.017i | −0.108677 | + | 0.417881i | ||||
\(45\) | −1329.07 | + | 2302.01i | −0.656330 | + | 1.13680i | ||||
\(46\) | −2556.08 | − | 795.587i | −1.20798 | − | 0.375986i | ||||
\(47\) | −2.66221 | − | 7.31435i | −0.00120516 | − | 0.00331116i | 0.939089 | − | 0.343675i | \(-0.111672\pi\) |
−0.940294 | + | 0.340364i | \(0.889450\pi\) | |||||||
\(48\) | −606.222 | − | 3164.63i | −0.263117 | − | 1.37354i | ||||
\(49\) | 3385.58 | + | 5863.99i | 1.41007 | + | 2.44231i | ||||
\(50\) | −2160.69 | + | 487.372i | −0.864278 | + | 0.194949i | ||||
\(51\) | 2275.04 | + | 401.151i | 0.874679 | + | 0.154229i | ||||
\(52\) | −982.979 | − | 1382.05i | −0.363528 | − | 0.511115i | ||||
\(53\) | −573.054 | − | 480.850i | −0.204006 | − | 0.171182i | 0.535060 | − | 0.844814i | \(-0.320289\pi\) |
−0.739067 | + | 0.673632i | \(0.764733\pi\) | |||||||
\(54\) | 143.295 | + | 109.118i | 0.0491409 | + | 0.0374203i | ||||
\(55\) | −613.495 | + | 1685.56i | −0.202808 | + | 0.557211i | ||||
\(56\) | 3784.84 | + | 4821.22i | 1.20690 | + | 1.53738i | ||||
\(57\) | −4465.82 | + | 837.970i | −1.37452 | + | 0.257916i | ||||
\(58\) | −460.218 | − | 498.540i | −0.136807 | − | 0.148199i | ||||
\(59\) | 5.09169 | − | 13.9893i | 0.00146271 | − | 0.00401876i | −0.938959 | − | 0.344029i | \(-0.888208\pi\) |
0.940422 | + | 0.340010i | \(0.110430\pi\) | |||||||
\(60\) | −653.340 | − | 6883.21i | −0.181483 | − | 1.91200i | ||||
\(61\) | 1631.00 | + | 1368.58i | 0.438324 | + | 0.367798i | 0.835082 | − | 0.550126i | \(-0.185420\pi\) |
−0.396758 | + | 0.917923i | \(0.629865\pi\) | |||||||
\(62\) | 776.272 | − | 6069.06i | 0.201944 | − | 1.57884i | ||||
\(63\) | 7302.22 | + | 1287.58i | 1.83981 | + | 0.324409i | ||||
\(64\) | 2959.62 | + | 2831.59i | 0.722563 | + | 0.691305i | ||||
\(65\) | −1819.61 | − | 3151.66i | −0.430677 | − | 0.745955i | ||||
\(66\) | −2337.63 | − | 1205.97i | −0.536646 | − | 0.276852i | ||||
\(67\) | −505.748 | − | 1389.53i | −0.112664 | − | 0.309542i | 0.870527 | − | 0.492120i | \(-0.163778\pi\) |
−0.983191 | + | 0.182578i | \(0.941556\pi\) | |||||||
\(68\) | −2652.27 | + | 1260.65i | −0.573588 | + | 0.272632i | ||||
\(69\) | 4211.84 | − | 7295.12i | 0.884654 | − | 1.53227i | ||||
\(70\) | 7107.61 | + | 11066.5i | 1.45053 | + | 2.25847i | ||||
\(71\) | −4482.54 | − | 5342.09i | −0.889217 | − | 1.05973i | −0.997843 | − | 0.0656450i | \(-0.979090\pi\) |
0.108626 | − | 0.994083i | \(-0.465355\pi\) | |||||||
\(72\) | 4952.41 | + | 161.413i | 0.955327 | + | 0.0311368i | ||||
\(73\) | −828.757 | − | 4700.11i | −0.155518 | − | 0.881988i | −0.958310 | − | 0.285729i | \(-0.907764\pi\) |
0.802792 | − | 0.596259i | \(-0.203347\pi\) | |||||||
\(74\) | 1878.75 | + | 4488.86i | 0.343088 | + | 0.819733i | ||||
\(75\) | − | 6969.76i | − | 1.23907i | ||||||
\(76\) | 4008.75 | − | 4158.38i | 0.694035 | − | 0.719941i | ||||
\(77\) | 5003.63 | 0.843924 | ||||||||
\(78\) | 4922.85 | − | 2060.39i | 0.809147 | − | 0.338657i | ||||
\(79\) | −4675.80 | + | 824.469i | −0.749207 | + | 0.132105i | −0.535198 | − | 0.844727i | \(-0.679763\pi\) |
−0.214008 | + | 0.976832i | \(0.568652\pi\) | |||||||
\(80\) | 5748.19 | + | 6648.95i | 0.898155 | + | 1.03890i | ||||
\(81\) | −5238.19 | + | 4395.37i | −0.798383 | + | 0.669923i | ||||
\(82\) | −8266.03 | + | 5308.95i | −1.22933 | + | 0.789553i | ||||
\(83\) | −4488.79 | − | 2591.60i | −0.651588 | − | 0.376195i | 0.137476 | − | 0.990505i | \(-0.456101\pi\) |
−0.789064 | + | 0.614311i | \(0.789434\pi\) | |||||||
\(84\) | −17419.4 | + | 8279.60i | −2.46874 | + | 1.17341i | ||||
\(85\) | −5921.40 | + | 2155.21i | −0.819571 | + | 0.298300i | ||||
\(86\) | −92.3759 | + | 179.060i | −0.0124900 | + | 0.0242104i | ||||
\(87\) | 1848.93 | − | 1067.48i | 0.244276 | − | 0.141033i | ||||
\(88\) | 3310.08 | − | 473.053i | 0.427438 | − | 0.0610864i | ||||
\(89\) | 1043.47 | − | 5917.79i | 0.131734 | − | 0.747101i | −0.845344 | − | 0.534222i | \(-0.820605\pi\) |
0.977079 | − | 0.212879i | \(-0.0682841\pi\) | |||||||
\(90\) | 10546.6 | + | 1348.98i | 1.30205 | + | 0.166541i | ||||
\(91\) | −6525.32 | + | 7776.58i | −0.787987 | + | 0.939087i | ||||
\(92\) | 1011.85 | + | 10660.2i | 0.119547 | + | 1.25948i | ||||
\(93\) | 18091.7 | + | 6584.85i | 2.09177 | + | 0.761342i | ||||
\(94\) | −22.8775 | + | 21.1190i | −0.00258913 | + | 0.00239011i | ||||
\(95\) | 9406.67 | − | 8070.31i | 1.04229 | − | 0.894217i | ||||
\(96\) | −10740.8 | + | 7124.13i | −1.16545 | + | 0.773017i | ||||
\(97\) | −8368.03 | − | 3045.71i | −0.889365 | − | 0.323702i | −0.143382 | − | 0.989667i | \(-0.545798\pi\) |
−0.745983 | + | 0.665965i | \(0.768020\pi\) | |||||||
\(98\) | 16408.8 | − | 21548.3i | 1.70854 | − | 2.24368i | ||||
\(99\) | 2600.07 | − | 3098.64i | 0.265286 | − | 0.316155i | ||||
\(100\) | 5135.17 | + | 7219.98i | 0.513517 | + | 0.721998i | ||||
\(101\) | 1182.97 | − | 6708.96i | 0.115966 | − | 0.657677i | −0.870301 | − | 0.492520i | \(-0.836076\pi\) |
0.986267 | − | 0.165157i | \(-0.0528131\pi\) | |||||||
\(102\) | −2033.24 | − | 9014.08i | −0.195429 | − | 0.866405i | ||||
\(103\) | 12488.9 | − | 7210.45i | 1.17720 | − | 0.679654i | 0.221831 | − | 0.975085i | \(-0.428797\pi\) |
0.955364 | + | 0.295431i | \(0.0954632\pi\) | |||||||
\(104\) | −3581.53 | + | 5761.41i | −0.331132 | + | 0.532675i | ||||
\(105\) | −38890.2 | + | 14154.9i | −3.52745 | + | 1.28389i | ||||
\(106\) | −889.275 | + | 2857.08i | −0.0791452 | + | 0.254279i | ||||
\(107\) | 5730.94 | + | 3308.76i | 0.500563 | + | 0.289000i | 0.728946 | − | 0.684571i | \(-0.240011\pi\) |
−0.228383 | + | 0.973571i | \(0.573344\pi\) | |||||||
\(108\) | 181.333 | − | 697.252i | 0.0155464 | − | 0.0597781i | ||||
\(109\) | 17357.4 | − | 14564.6i | 1.46094 | − | 1.22587i | 0.536855 | − | 0.843675i | \(-0.319612\pi\) |
0.924081 | − | 0.382196i | \(-0.124832\pi\) | |||||||
\(110\) | 7166.92 | − | 339.372i | 0.592308 | − | 0.0280473i | ||||
\(111\) | −15079.5 | + | 2658.92i | −1.22388 | + | 0.215804i | ||||
\(112\) | 11944.5 | − | 21411.1i | 0.952211 | − | 1.70688i | ||||
\(113\) | 5235.13 | 0.409987 | 0.204994 | − | 0.978763i | \(-0.434283\pi\) | ||||
0.204994 | + | 0.978763i | \(0.434283\pi\) | |||||||
\(114\) | 9988.73 | + | 15184.1i | 0.768600 | + | 1.16837i | ||||
\(115\) | 22977.5i | 1.73743i | ||||||||
\(116\) | −1128.81 | + | 2468.05i | −0.0838888 | + | 0.183416i | ||||
\(117\) | 1425.07 | + | 8081.98i | 0.104103 | + | 0.590400i | ||||
\(118\) | −59.4818 | + | 2.81661i | −0.00427189 | + | 0.000202285i | ||||
\(119\) | 11298.8 | + | 13465.4i | 0.797881 | + | 0.950878i | ||||
\(120\) | −24389.0 | + | 13040.7i | −1.69368 | + | 0.905606i | ||||
\(121\) | −5955.70 | + | 10315.6i | −0.406782 | + | 0.704568i | ||||
\(122\) | 2531.02 | − | 8131.71i | 0.170050 | − | 0.546339i | ||||
\(123\) | −10572.8 | − | 29048.6i | −0.698846 | − | 1.92006i | ||||
\(124\) | −23592.8 | + | 6508.35i | −1.53439 | + | 0.423280i | ||||
\(125\) | −1223.20 | − | 2118.64i | −0.0782847 | − | 0.135593i | ||||
\(126\) | −6526.11 | − | 28932.6i | −0.411068 | − | 1.82241i | ||||
\(127\) | −9634.42 | − | 1698.81i | −0.597335 | − | 0.105326i | −0.133198 | − | 0.991089i | \(-0.542525\pi\) |
−0.464138 | + | 0.885763i | \(0.653636\pi\) | |||||||
\(128\) | 5877.50 | − | 15293.5i | 0.358734 | − | 0.933440i | ||||
\(129\) | −485.672 | − | 407.527i | −0.0291853 | − | 0.0244893i | ||||
\(130\) | −8819.07 | + | 11581.3i | −0.521838 | + | 0.685286i | ||||
\(131\) | 9788.25 | − | 26893.0i | 0.570378 | − | 1.56710i | −0.233532 | − | 0.972349i | \(-0.575028\pi\) |
0.803910 | − | 0.594751i | \(-0.202749\pi\) | |||||||
\(132\) | −839.758 | + | 10487.9i | −0.0481955 | + | 0.601925i | ||||
\(133\) | −30129.0 | − | 16957.8i | −1.70326 | − | 0.958664i | ||||
\(134\) | −4346.12 | + | 4012.04i | −0.242043 | + | 0.223438i | ||||
\(135\) | 528.741 | − | 1452.70i | 0.0290118 | − | 0.0797094i | ||||
\(136\) | 8747.61 | + | 7839.63i | 0.472946 | + | 0.423855i | ||||
\(137\) | 6112.37 | + | 5128.88i | 0.325663 | + | 0.273264i | 0.790930 | − | 0.611907i | \(-0.209597\pi\) |
−0.465267 | + | 0.885170i | \(0.654042\pi\) | |||||||
\(138\) | −33422.4 | − | 4274.94i | −1.75501 | − | 0.224477i | ||||
\(139\) | −4170.66 | − | 735.400i | −0.215862 | − | 0.0380622i | 0.0646714 | − | 0.997907i | \(-0.479400\pi\) |
−0.280533 | + | 0.959844i | \(0.590511\pi\) | |||||||
\(140\) | 29857.3 | − | 43316.5i | 1.52333 | − | 2.21002i | ||||
\(141\) | −48.9856 | − | 84.8455i | −0.00246394 | − | 0.00426767i | ||||
\(142\) | −12789.0 | + | 24789.9i | −0.634247 | + | 1.22941i | ||||
\(143\) | 1894.09 | + | 5203.96i | 0.0926249 | + | 0.254485i | ||||
\(144\) | −7052.61 | − | 18523.0i | −0.340114 | − | 0.893275i | ||||
\(145\) | −2911.79 | + | 5043.37i | −0.138492 | + | 0.239875i | ||||
\(146\) | −16062.9 | + | 10316.6i | −0.753559 | + | 0.483982i | ||||
\(147\) | 54782.1 | + | 65286.8i | 2.53515 | + | 3.02128i | ||||
\(148\) | 13661.8 | − | 13864.6i | 0.623713 | − | 0.632972i | ||||
\(149\) | 4184.26 | + | 23730.1i | 0.188472 | + | 1.06888i | 0.921413 | + | 0.388584i | \(0.127036\pi\) |
−0.732942 | + | 0.680291i | \(0.761853\pi\) | |||||||
\(150\) | −25717.4 | + | 10763.7i | −1.14300 | + | 0.478385i | ||||
\(151\) | − | 11836.1i | − | 0.519103i | −0.965729 | − | 0.259551i | \(-0.916425\pi\) | ||
0.965729 | − | 0.259551i | \(-0.0835747\pi\) | |||||||
\(152\) | −21534.7 | − | 8369.76i | −0.932075 | − | 0.362264i | ||||
\(153\) | 14210.1 | 0.607035 | ||||||||
\(154\) | −7727.29 | − | 18462.7i | −0.325826 | − | 0.778489i | ||||
\(155\) | −51718.6 | + | 9119.39i | −2.15270 | + | 0.379579i | ||||
\(156\) | −15205.1 | − | 14982.7i | −0.624798 | − | 0.615658i | ||||
\(157\) | 7131.92 | − | 5984.39i | 0.289339 | − | 0.242784i | −0.486551 | − | 0.873652i | \(-0.661745\pi\) |
0.775891 | + | 0.630868i | \(0.217301\pi\) | |||||||
\(158\) | 10263.2 | + | 15979.8i | 0.411119 | + | 0.640112i | ||||
\(159\) | −8154.19 | − | 4707.82i | −0.322542 | − | 0.186220i | ||||
\(160\) | 15656.5 | − | 31478.2i | 0.611581 | − | 1.22962i | ||||
\(161\) | 60230.3 | − | 21922.0i | 2.32361 | − | 0.845724i | ||||
\(162\) | 24307.8 | + | 12540.2i | 0.926223 | + | 0.477833i | ||||
\(163\) | −27755.8 | + | 16024.8i | −1.04467 | + | 0.603140i | −0.921152 | − | 0.389202i | \(-0.872751\pi\) |
−0.123517 | + | 0.992342i | \(0.539417\pi\) | |||||||
\(164\) | 32354.8 | + | 22301.6i | 1.20296 | + | 0.829180i | ||||
\(165\) | −3920.47 | + | 22234.1i | −0.144002 | + | 0.816679i | ||||
\(166\) | −2630.43 | + | 20565.3i | −0.0954577 | + | 0.746309i | ||||
\(167\) | −16818.4 | + | 20043.4i | −0.603049 | + | 0.718686i | −0.978057 | − | 0.208336i | \(-0.933195\pi\) |
0.375009 | + | 0.927021i | \(0.377640\pi\) | |||||||
\(168\) | 57452.0 | + | 51488.6i | 2.03557 | + | 1.82428i | ||||
\(169\) | 16280.5 | + | 5925.63i | 0.570026 | + | 0.207473i | ||||
\(170\) | 17097.1 | + | 18520.7i | 0.591594 | + | 0.640856i | ||||
\(171\) | −26157.7 | + | 9846.34i | −0.894556 | + | 0.336731i | ||||
\(172\) | 803.365 | + | 64.3246i | 0.0271554 | + | 0.00217430i | ||||
\(173\) | 1063.12 | + | 386.944i | 0.0355214 | + | 0.0129287i | 0.359720 | − | 0.933060i | \(-0.382872\pi\) |
−0.324198 | + | 0.945989i | \(0.605095\pi\) | |||||||
\(174\) | −6794.21 | − | 5173.72i | −0.224409 | − | 0.170885i | ||||
\(175\) | 34088.9 | − | 40625.5i | 1.11311 | − | 1.32655i | ||||
\(176\) | −6857.38 | − | 11483.2i | −0.221377 | − | 0.370712i | ||||
\(177\) | 32.5379 | − | 184.531i | 0.00103859 | − | 0.00589011i | ||||
\(178\) | −23447.2 | + | 5288.82i | −0.740034 | + | 0.166924i | ||||
\(179\) | −14611.9 | + | 8436.18i | −0.456037 | + | 0.263293i | −0.710376 | − | 0.703822i | \(-0.751475\pi\) |
0.254339 | + | 0.967115i | \(0.418142\pi\) | |||||||
\(180\) | −11310.0 | − | 40998.8i | −0.349074 | − | 1.26539i | ||||
\(181\) | 17322.3 | − | 6304.78i | 0.528746 | − | 0.192448i | −0.0638322 | − | 0.997961i | \(-0.520332\pi\) |
0.592578 | + | 0.805513i | \(0.298110\pi\) | |||||||
\(182\) | 38771.7 | + | 12067.8i | 1.17050 | + | 0.364323i | ||||
\(183\) | 23208.1 | + | 13399.2i | 0.693008 | + | 0.400108i | ||||
\(184\) | 37772.0 | − | 20196.5i | 1.11567 | − | 0.596542i | ||||
\(185\) | 31995.6 | − | 26847.5i | 0.934861 | − | 0.784441i | ||||
\(186\) | −3642.60 | − | 76925.0i | −0.105290 | − | 2.22352i | ||||
\(187\) | 9443.43 | − | 1665.13i | 0.270051 | − | 0.0476173i | ||||
\(188\) | 113.257 | + | 51.7999i | 0.00320441 | + | 0.00146559i | ||||
\(189\) | −4312.38 | −0.120724 | ||||||||
\(190\) | −44305.3 | − | 22245.9i | −1.22729 | − | 0.616231i | ||||
\(191\) | − | 19746.7i | − | 0.541288i | −0.962680 | − | 0.270644i | \(-0.912763\pi\) | ||
0.962680 | − | 0.270644i | \(-0.0872366\pi\) | |||||||
\(192\) | 42874.4 | + | 28630.0i | 1.16304 | + | 0.776637i | ||||
\(193\) | −10148.2 | − | 57553.5i | −0.272443 | − | 1.54510i | −0.746968 | − | 0.664860i | \(-0.768491\pi\) |
0.474525 | − | 0.880242i | \(-0.342620\pi\) | |||||||
\(194\) | 1684.82 | + | 35580.4i | 0.0447663 | + | 0.945383i | ||||
\(195\) | −29443.2 | − | 35089.0i | −0.774311 | − | 0.922788i | ||||
\(196\) | −104851. | − | 27268.3i | −2.72935 | − | 0.709815i | ||||
\(197\) | −22209.2 | + | 38467.4i | −0.572268 | + | 0.991198i | 0.424064 | + | 0.905632i | \(0.360603\pi\) |
−0.996333 | + | 0.0855658i | \(0.972730\pi\) | |||||||
\(198\) | −15448.9 | − | 4808.52i | −0.394064 | − | 0.122654i | ||||
\(199\) | 19522.6 | + | 53637.9i | 0.492982 | + | 1.35446i | 0.897938 | + | 0.440122i | \(0.145065\pi\) |
−0.404956 | + | 0.914336i | \(0.632713\pi\) | |||||||
\(200\) | 18710.2 | − | 30098.1i | 0.467756 | − | 0.752453i | ||||
\(201\) | −9305.96 | − | 16118.4i | −0.230340 | − | 0.398960i | ||||
\(202\) | −26582.0 | + | 5995.91i | −0.651456 | + | 0.146944i | ||||
\(203\) | 15998.1 | + | 2820.89i | 0.388218 | + | 0.0684533i | ||||
\(204\) | −30120.6 | + | 21423.1i | −0.723775 | + | 0.514781i | ||||
\(205\) | 64594.4 | + | 54201.2i | 1.53705 | + | 1.28974i | ||||
\(206\) | −45892.5 | − | 34946.7i | −1.08145 | − | 0.823516i | ||||
\(207\) | 17722.0 | − | 48690.8i | 0.413592 | − | 1.13633i | ||||
\(208\) | 26789.8 | + | 4317.75i | 0.619218 | + | 0.0998000i | ||||
\(209\) | −16229.5 | + | 9608.62i | −0.371547 | + | 0.219973i | ||||
\(210\) | 112289. | + | 121639.i | 2.54623 | + | 2.75826i | ||||
\(211\) | −4249.40 | + | 11675.1i | −0.0954472 | + | 0.262239i | −0.978223 | − | 0.207555i | \(-0.933449\pi\) |
0.882776 | + | 0.469794i | \(0.155672\pi\) | |||||||
\(212\) | 11915.5 | − | 1131.00i | 0.265120 | − | 0.0251646i | ||||
\(213\) | −67238.7 | − | 56420.0i | −1.48204 | − | 1.24358i | ||||
\(214\) | 3358.34 | − | 26256.2i | 0.0733325 | − | 0.573329i | ||||
\(215\) | 1703.11 | + | 300.304i | 0.0368438 | + | 0.00649656i | ||||
\(216\) | −2852.80 | + | 407.701i | −0.0611453 | + | 0.00873846i | ||||
\(217\) | 73247.2 | + | 126868.i | 1.55551 | + | 2.69422i | ||||
\(218\) | −80546.8 | − | 41553.6i | −1.69487 | − | 0.874370i | ||||
\(219\) | −20545.5 | − | 56448.4i | −0.428380 | − | 1.17696i | ||||
\(220\) | −12320.4 | − | 25920.8i | −0.254553 | − | 0.535554i | ||||
\(221\) | −9727.42 | + | 16848.4i | −0.199165 | + | 0.344964i | ||||
\(222\) | 33098.8 | + | 51534.8i | 0.671594 | + | 1.04567i | ||||
\(223\) | 33977.1 | + | 40492.3i | 0.683245 | + | 0.814260i | 0.990521 | − | 0.137361i | \(-0.0438619\pi\) |
−0.307276 | + | 0.951620i | \(0.599417\pi\) | |||||||
\(224\) | −97450.2 | − | 11007.6i | −1.94217 | − | 0.219380i | ||||
\(225\) | −7444.70 | − | 42221.0i | −0.147056 | − | 0.833995i | ||||
\(226\) | −8084.81 | − | 19316.9i | −0.158290 | − | 0.378198i | ||||
\(227\) | 43500.3i | 0.844191i | 0.906551 | + | 0.422096i | \(0.138705\pi\) | ||||
−0.906551 | + | 0.422096i | \(0.861295\pi\) | |||||||
\(228\) | 40601.3 | − | 60306.4i | 0.781034 | − | 1.16009i | ||||
\(229\) | −14850.9 | −0.283192 | −0.141596 | − | 0.989925i | \(-0.545223\pi\) | ||||
−0.141596 | + | 0.989925i | \(0.545223\pi\) | |||||||
\(230\) | 84783.7 | − | 35485.0i | 1.60272 | − | 0.670795i | ||||
\(231\) | 62021.9 | − | 10936.1i | 1.16231 | − | 0.204946i | ||||
\(232\) | 10850.0 | + | 353.632i | 0.201583 | + | 0.00657015i | ||||
\(233\) | −6146.18 | + | 5157.25i | −0.113212 | + | 0.0949963i | −0.697636 | − | 0.716452i | \(-0.745765\pi\) |
0.584424 | + | 0.811448i | \(0.301320\pi\) | |||||||
\(234\) | 27620.5 | − | 17739.6i | 0.504429 | − | 0.323976i | ||||
\(235\) | 231.436 | + | 133.619i | 0.00419078 | + | 0.00241955i | ||||
\(236\) | 102.253 | + | 215.129i | 0.00183591 | + | 0.00386256i | ||||
\(237\) | −56156.3 | + | 20439.2i | −0.999774 | + | 0.363888i | ||||
\(238\) | 32236.1 | − | 62486.0i | 0.569101 | − | 1.10314i | ||||
\(239\) | 27463.0 | − | 15855.8i | 0.480787 | − | 0.277582i | −0.239958 | − | 0.970783i | \(-0.577134\pi\) |
0.720744 | + | 0.693201i | \(0.243800\pi\) | |||||||
\(240\) | 85783.3 | + | 69852.7i | 1.48929 | + | 1.21272i | ||||
\(241\) | 3266.61 | − | 18525.9i | 0.0562423 | − | 0.318966i | −0.943687 | − | 0.330839i | \(-0.892668\pi\) |
0.999930 | + | 0.0118729i | \(0.00377936\pi\) | |||||||
\(242\) | 47260.6 | + | 6044.93i | 0.806990 | + | 0.103219i | ||||
\(243\) | −52978.3 | + | 63137.1i | −0.897192 | + | 1.06923i | ||||
\(244\) | −33913.6 | + | 3219.01i | −0.569631 | + | 0.0540683i | ||||
\(245\) | −218453. | − | 79510.5i | −3.63937 | − | 1.32462i | ||||
\(246\) | −90857.2 | + | 83873.1i | −1.50137 | + | 1.38597i | ||||
\(247\) | 6231.65 | − | 37754.5i | 0.102143 | − | 0.618836i | ||||
\(248\) | 60450.1 | + | 77002.8i | 0.982864 | + | 1.25200i | ||||
\(249\) | −61304.6 | − | 22313.0i | −0.988768 | − | 0.359882i | ||||
\(250\) | −5928.45 | + | 7785.32i | −0.0948552 | + | 0.124565i | ||||
\(251\) | 62461.9 | − | 74439.2i | 0.991443 | − | 1.18156i | 0.00806839 | − | 0.999967i | \(-0.497432\pi\) |
0.983375 | − | 0.181588i | \(-0.0581238\pi\) | |||||||
\(252\) | −96678.4 | + | 68762.0i | −1.52240 | + | 1.08280i | ||||
\(253\) | 6071.73 | − | 34434.5i | 0.0948575 | − | 0.537964i | ||||
\(254\) | 8610.45 | + | 38173.1i | 0.133462 | + | 0.591685i | ||||
\(255\) | −68687.5 | + | 39656.8i | −1.05633 | + | 0.609870i | ||||
\(256\) | −65507.5 | + | 1931.19i | −0.999566 | + | 0.0294677i | ||||
\(257\) | 65688.5 | − | 23908.7i | 0.994542 | − | 0.361984i | 0.207065 | − | 0.978327i | \(-0.433609\pi\) |
0.787477 | + | 0.616344i | \(0.211387\pi\) | |||||||
\(258\) | −753.674 | + | 2421.42i | −0.0113226 | + | 0.0363773i | ||||
\(259\) | −100900. | − | 58254.9i | −1.50416 | − | 0.868426i | ||||
\(260\) | 56353.0 | + | 14655.6i | 0.833625 | + | 0.216799i | ||||
\(261\) | 10060.1 | − | 8441.42i | 0.147680 | − | 0.123918i | ||||
\(262\) | −114348. | + | 5414.65i | −1.66581 | + | 0.0788802i | ||||
\(263\) | −69331.5 | + | 12225.0i | −1.00235 | + | 0.176741i | −0.650655 | − | 0.759373i | \(-0.725506\pi\) |
−0.351695 | + | 0.936115i | \(0.614395\pi\) | |||||||
\(264\) | 39995.8 | − | 13098.3i | 0.573861 | − | 0.187935i | ||||
\(265\) | 25683.3 | 0.365729 | ||||||||
\(266\) | −16042.5 | + | 137360.i | −0.226730 | + | 1.94132i | ||||
\(267\) | − | 75633.9i | − | 1.06095i | ||||||
\(268\) | 21515.7 | + | 9840.61i | 0.299562 | + | 0.137010i | ||||
\(269\) | 12725.3 | + | 72168.8i | 0.175859 | + | 0.997344i | 0.937148 | + | 0.348932i | \(0.113456\pi\) |
−0.761289 | + | 0.648412i | \(0.775433\pi\) | |||||||
\(270\) | −6176.82 | + | 292.488i | −0.0847300 | + | 0.00401218i | ||||
\(271\) | 72643.3 | + | 86572.9i | 0.989138 | + | 1.17881i | 0.983881 | + | 0.178822i | \(0.0572288\pi\) |
0.00525655 | + | 0.999986i | \(0.498327\pi\) | |||||||
\(272\) | 15417.8 | − | 44384.5i | 0.208394 | − | 0.599920i | ||||
\(273\) | −63887.1 | + | 110656.i | −0.857211 | + | 1.48473i | ||||
\(274\) | 9485.27 | − | 30474.5i | 0.126342 | − | 0.405915i | ||||
\(275\) | −9894.88 | − | 27186.0i | −0.130841 | − | 0.359484i | ||||
\(276\) | 35841.6 | + | 129926.i | 0.470510 | + | 1.70560i | ||||
\(277\) | −1784.11 | − | 3090.17i | −0.0232521 | − | 0.0402739i | 0.854165 | − | 0.520002i | \(-0.174069\pi\) |
−0.877417 | + | 0.479728i | \(0.840735\pi\) | |||||||
\(278\) | 3727.39 | + | 16524.8i | 0.0482298 | + | 0.213820i | ||||
\(279\) | 116628. | + | 20564.7i | 1.49829 | + | 0.264189i | ||||
\(280\) | −205941. | − | 43273.9i | −2.62680 | − | 0.551963i | ||||
\(281\) | −23984.9 | − | 20125.8i | −0.303757 | − | 0.254882i | 0.478149 | − | 0.878279i | \(-0.341308\pi\) |
−0.781906 | + | 0.623396i | \(0.785752\pi\) | |||||||
\(282\) | −237.417 | + | 311.780i | −0.00298548 | + | 0.00392058i | ||||
\(283\) | −11801.4 | + | 32424.2i | −0.147354 | + | 0.404852i | −0.991308 | − | 0.131564i | \(-0.958000\pi\) |
0.843954 | + | 0.536416i | \(0.180222\pi\) | |||||||
\(284\) | 111222. | + | 8905.40i | 1.37896 | + | 0.110412i | ||||
\(285\) | 98960.4 | − | 120594.i | 1.21835 | − | 1.48469i | ||||
\(286\) | 16276.7 | − | 15025.6i | 0.198992 | − | 0.183696i | ||||
\(287\) | 80448.6 | − | 221031.i | 0.976686 | − | 2.68342i | ||||
\(288\) | −57455.4 | + | 54628.8i | −0.692701 | + | 0.658623i | ||||
\(289\) | −38175.3 | − | 32032.9i | −0.457075 | − | 0.383531i | ||||
\(290\) | 23106.1 | + | 2955.42i | 0.274745 | + | 0.0351417i | ||||
\(291\) | −110382. | − | 19463.3i | −1.30350 | − | 0.229842i | ||||
\(292\) | 62873.1 | + | 43337.3i | 0.737393 | + | 0.508272i | ||||
\(293\) | −11236.5 | − | 19462.2i | −0.130887 | − | 0.226703i | 0.793132 | − | 0.609050i | \(-0.208449\pi\) |
−0.924019 | + | 0.382347i | \(0.875116\pi\) | |||||||
\(294\) | 156297. | − | 302963.i | 1.80823 | − | 3.50505i | ||||
\(295\) | 174.812 | + | 480.293i | 0.00200876 | + | 0.00551902i | ||||
\(296\) | −72256.9 | − | 28998.4i | −0.824699 | − | 0.330972i | ||||
\(297\) | −1176.25 | + | 2037.33i | −0.0133348 | + | 0.0230966i | ||||
\(298\) | 81098.7 | − | 52086.6i | 0.913233 | − | 0.586534i | ||||
\(299\) | 45599.4 | + | 54343.3i | 0.510055 | + | 0.607860i | ||||
\(300\) | 79432.7 | + | 78270.8i | 0.882586 | + | 0.869675i | ||||
\(301\) | −837.696 | − | 4750.81i | −0.00924599 | − | 0.0524366i | ||||
\(302\) | −43673.3 | + | 18278.9i | −0.478853 | + | 0.200417i | ||||
\(303\) | − | 85745.7i | − | 0.933958i | ||||||
\(304\) | 2373.62 | + | 92385.5i | 0.0256840 | + | 0.999670i | ||||
\(305\) | −73098.9 | −0.785799 | ||||||||
\(306\) | −21945.2 | − | 52433.1i | −0.234367 | − | 0.559967i | ||||
\(307\) | −83935.2 | + | 14800.0i | −0.890569 | + | 0.157031i | −0.600168 | − | 0.799874i | \(-0.704900\pi\) |
−0.290401 | + | 0.956905i | \(0.593789\pi\) | |||||||
\(308\) | −56190.9 | + | 57025.1i | −0.592332 | + | 0.601125i | ||||
\(309\) | 139045. | − | 116672.i | 1.45626 | − | 1.22194i | ||||
\(310\) | 113520. | + | 176751.i | 1.18127 | + | 1.83924i | ||||
\(311\) | 124152. | + | 71679.4i | 1.28361 | + | 0.741095i | 0.977507 | − | 0.210903i | \(-0.0676403\pi\) |
0.306106 | + | 0.951997i | \(0.400974\pi\) | |||||||
\(312\) | −31802.0 | + | 79242.8i | −0.326697 | + | 0.814049i | ||||
\(313\) | 105640. | − | 38449.8i | 1.07830 | − | 0.392469i | 0.259025 | − | 0.965871i | \(-0.416599\pi\) |
0.819274 | + | 0.573402i | \(0.194377\pi\) | |||||||
\(314\) | −33095.6 | − | 17073.8i | −0.335669 | − | 0.173170i | ||||
\(315\) | −220467. | + | 127287.i | −2.22189 | + | 1.28281i | ||||
\(316\) | 43113.1 | − | 62547.8i | 0.431753 | − | 0.626380i | ||||
\(317\) | −17878.9 | + | 101396.i | −0.177919 | + | 1.00903i | 0.756802 | + | 0.653645i | \(0.226761\pi\) |
−0.934720 | + | 0.355384i | \(0.884350\pi\) | |||||||
\(318\) | −4778.36 | + | 37358.2i | −0.0472525 | + | 0.369430i | ||||
\(319\) | 5696.36 | − | 6788.65i | 0.0559778 | − | 0.0667117i | ||||
\(320\) | −140329. | − | 9157.15i | −1.37040 | − | 0.0894253i | ||||
\(321\) | 78269.0 | + | 28487.6i | 0.759591 | + | 0.276468i | ||||
\(322\) | −173905. | − | 188386.i | −1.67726 | − | 1.81692i | ||||
\(323\) | −62506.3 | − | 21978.3i | −0.599127 | − | 0.210663i | ||||
\(324\) | 8732.20 | − | 109059.i | 0.0831828 | − | 1.03889i | ||||
\(325\) | 55156.2 | + | 20075.2i | 0.522189 | + | 0.190061i | ||||
\(326\) | 101994. | + | 77667.2i | 0.959706 | + | 0.730807i | ||||
\(327\) | 183318. | − | 218470.i | 1.71439 | − | 2.04314i | ||||
\(328\) | 32323.0 | − | 153826.i | 0.300444 | − | 1.42982i | ||||
\(329\) | 129.448 | − | 734.137i | 0.00119593 | − | 0.00678243i | ||||
\(330\) | 88095.0 | − | 19871.0i | 0.808953 | − | 0.182470i | ||||
\(331\) | −68648.0 | + | 39633.9i | −0.626573 | + | 0.361752i | −0.779424 | − | 0.626497i | \(-0.784488\pi\) |
0.152851 | + | 0.988249i | \(0.451155\pi\) | |||||||
\(332\) | 79945.2 | − | 22053.8i | 0.725298 | − | 0.200082i | ||||
\(333\) | −88507.5 | + | 32214.1i | −0.798163 | + | 0.290507i | ||||
\(334\) | 99930.6 | + | 31103.7i | 0.895789 | + | 0.278817i | ||||
\(335\) | 43966.6 | + | 25384.2i | 0.391772 | + | 0.226190i | ||||
\(336\) | 101260. | − | 291505.i | 0.896933 | − | 2.58207i | ||||
\(337\) | −63370.6 | + | 53174.3i | −0.557992 | + | 0.468211i | −0.877637 | − | 0.479326i | \(-0.840881\pi\) |
0.319644 | + | 0.947538i | \(0.396437\pi\) | |||||||
\(338\) | −3277.93 | − | 69223.9i | −0.0286924 | − | 0.605930i | ||||
\(339\) | 64891.4 | − | 11442.1i | 0.564661 | − | 0.0995650i | ||||
\(340\) | 41935.2 | − | 91688.0i | 0.362761 | − | 0.793149i | ||||
\(341\) | 79916.2 | 0.687268 | ||||||||
\(342\) | 76727.9 | + | 81312.1i | 0.655996 | + | 0.695189i | ||||
\(343\) | 418536.i | 3.55750i | ||||||||
\(344\) | −1003.32 | − | 3063.64i | −0.00847856 | − | 0.0258893i | ||||
\(345\) | 50220.6 | + | 284815.i | 0.421933 | + | 2.39290i | ||||
\(346\) | −214.049 | − | 4520.32i | −0.00178797 | − | 0.0377587i | ||||
\(347\) | 19426.0 | + | 23151.0i | 0.161334 | + | 0.192270i | 0.840655 | − | 0.541571i | \(-0.182170\pi\) |
−0.679321 | + | 0.733841i | \(0.737726\pi\) | |||||||
\(348\) | −8597.73 | + | 33059.6i | −0.0709946 | + | 0.272985i | ||||
\(349\) | −1532.80 | + | 2654.89i | −0.0125845 | + | 0.0217970i | −0.872249 | − | 0.489062i | \(-0.837339\pi\) |
0.859665 | + | 0.510859i | \(0.170673\pi\) | |||||||
\(350\) | −202547. | − | 63043.4i | −1.65345 | − | 0.514640i | ||||
\(351\) | −1632.42 | − | 4485.04i | −0.0132500 | − | 0.0364042i | ||||
\(352\) | −31781.1 | + | 43036.6i | −0.256498 | + | 0.347338i | ||||
\(353\) | −43332.2 | − | 75053.5i | −0.347745 | − | 0.602312i | 0.638103 | − | 0.769951i | \(-0.279719\pi\) |
−0.985849 | + | 0.167638i | \(0.946386\pi\) | |||||||
\(354\) | −731.143 | + | 164.919i | −0.00583439 | + | 0.00131602i | ||||
\(355\) | 235786. | + | 41575.5i | 1.87095 | + | 0.329899i | ||||
\(356\) | 55725.4 | + | 78349.1i | 0.439697 | + | 0.618207i | ||||
\(357\) | 169483. | + | 142213.i | 1.32981 | + | 1.11585i | ||||
\(358\) | 53693.9 | + | 40887.4i | 0.418947 | + | 0.319024i | ||||
\(359\) | −29411.4 | + | 80807.0i | −0.228206 | + | 0.626990i | −0.999960 | − | 0.00893093i | \(-0.997157\pi\) |
0.771755 | + | 0.635920i | \(0.219379\pi\) | |||||||
\(360\) | −133813. | + | 105048.i | −1.03251 | + | 0.810558i | ||||
\(361\) | 130290. | − | 2854.03i | 0.999760 | − | 0.0219000i | ||||
\(362\) | −50015.1 | − | 54179.9i | −0.381667 | − | 0.413448i | ||||
\(363\) | −51277.1 | + | 140883.i | −0.389144 | + | 1.06916i | ||||
\(364\) | −15348.1 | − | 161699.i | −0.115838 | − | 1.22041i | ||||
\(365\) | 125522. | + | 105326.i | 0.942183 | + | 0.790585i | ||||
\(366\) | 13600.0 | − | 106328.i | 0.101526 | − | 0.793750i | ||||
\(367\) | −117351. | − | 20692.1i | −0.871271 | − | 0.153629i | −0.279901 | − | 0.960029i | \(-0.590302\pi\) |
−0.591370 | + | 0.806400i | \(0.701413\pi\) | |||||||
\(368\) | −132855. | − | 108183.i | −0.981029 | − | 0.798845i | ||||
\(369\) | −95075.5 | − | 164676.i | −0.698258 | − | 1.20942i | ||||
\(370\) | −148475. | − | 76597.5i | −1.08455 | − | 0.559514i | ||||
\(371\) | −24503.6 | − | 67323.0i | −0.178025 | − | 0.489120i | ||||
\(372\) | −278217. | + | 132239.i | −2.01047 | + | 0.955594i | ||||
\(373\) | 65591.8 | − | 113608.i | 0.471446 | − | 0.816569i | −0.528020 | − | 0.849232i | \(-0.677066\pi\) |
0.999466 | + | 0.0326632i | \(0.0103989\pi\) | |||||||
\(374\) | −20727.9 | − | 32273.3i | −0.148188 | − | 0.230728i | ||||
\(375\) | −19792.6 | − | 23587.9i | −0.140747 | − | 0.167736i | ||||
\(376\) | 16.2278 | − | 497.897i | 0.000114785 | − | 0.00352179i | ||||
\(377\) | 3122.12 | + | 17706.4i | 0.0219668 | + | 0.124580i | ||||
\(378\) | 6659.77 | + | 15912.1i | 0.0466096 | + | 0.111363i | ||||
\(379\) | − | 77675.2i | − | 0.540759i | −0.962754 | − | 0.270380i | \(-0.912851\pi\) | ||
0.962754 | − | 0.270380i | \(-0.0871492\pi\) | |||||||
\(380\) | −13661.9 | + | 197835.i | −0.0946117 | + | 1.37005i | ||||
\(381\) | −123135. | −0.848268 | ||||||||
\(382\) | −72862.5 | + | 30495.6i | −0.499318 | + | 0.208983i | ||||
\(383\) | −146772. | + | 25879.9i | −1.00057 | + | 0.176427i | −0.649856 | − | 0.760057i | \(-0.725171\pi\) |
−0.350710 | + | 0.936484i | \(0.614060\pi\) | |||||||
\(384\) | 39427.8 | − | 202415.i | 0.267387 | − | 1.37271i | ||||
\(385\) | −131598. | + | 110424.i | −0.887825 | + | 0.744973i | ||||
\(386\) | −196692. | + | 126328.i | −1.32011 | + | 0.847859i | ||||
\(387\) | −3377.37 | − | 1949.93i | −0.0225505 | − | 0.0130196i | ||||
\(388\) | 128685. | − | 61164.9i | 0.854797 | − | 0.406293i | ||||
\(389\) | −263136. | + | 95773.5i | −1.73892 | + | 0.632916i | −0.999200 | − | 0.0399954i | \(-0.987266\pi\) |
−0.739723 | + | 0.672912i | \(0.765043\pi\) | |||||||
\(390\) | −84003.1 | + | 162830.i | −0.552289 | + | 1.07055i | ||||
\(391\) | 106378. | − | 61417.5i | 0.695824 | − | 0.401734i | ||||
\(392\) | 61308.9 | + | 428995.i | 0.398980 | + | 2.79177i | ||||
\(393\) | 62550.7 | − | 354743.i | 0.404993 | − | 2.29683i | ||||
\(394\) | 176238. | + | 22541.9i | 1.13529 | + | 0.145211i | ||||
\(395\) | 104781. | − | 124873.i | 0.671564 | − | 0.800339i | ||||
\(396\) | 6115.58 | + | 64430.1i | 0.0389984 | + | 0.410865i | ||||
\(397\) | 147690. | + | 53754.7i | 0.937065 | + | 0.341064i | 0.765006 | − | 0.644023i | \(-0.222736\pi\) |
0.172059 | + | 0.985087i | \(0.444958\pi\) | |||||||
\(398\) | 167766. | − | 154871.i | 1.05911 | − | 0.977693i | ||||
\(399\) | −410524. | − | 144347.i | −2.57865 | − | 0.906699i | ||||
\(400\) | −139953. | − | 22556.3i | −0.874704 | − | 0.140977i | ||||
\(401\) | −156549. | − | 56979.2i | −0.973558 | − | 0.354346i | −0.194225 | − | 0.980957i | \(-0.562219\pi\) |
−0.779332 | + | 0.626611i | \(0.784442\pi\) | |||||||
\(402\) | −45103.0 | + | 59229.9i | −0.279096 | + | 0.366513i | ||||
\(403\) | −104220. | + | 124205.i | −0.641714 | + | 0.764765i | ||||
\(404\) | 63175.6 | + | 88824.0i | 0.387068 | + | 0.544211i | ||||
\(405\) | 40766.9 | − | 231201.i | 0.248541 | − | 1.40954i | ||||
\(406\) | −14297.7 | − | 63387.0i | −0.0867392 | − | 0.384546i | ||||
\(407\) | −55043.5 | + | 31779.4i | −0.332290 | + | 0.191848i | ||||
\(408\) | 125565. | + | 78056.1i | 0.754305 | + | 0.468907i | ||||
\(409\) | 91864.1 | − | 33435.8i | 0.549160 | − | 0.199878i | −0.0525131 | − | 0.998620i | \(-0.516723\pi\) |
0.601673 | + | 0.798742i | \(0.294501\pi\) | |||||||
\(410\) | 100239. | − | 322049.i | 0.596304 | − | 1.91582i | ||||
\(411\) | 86975.0 | + | 50215.0i | 0.514886 | + | 0.297269i | ||||
\(412\) | −58074.7 | + | 223306.i | −0.342131 | + | 1.31555i | ||||
\(413\) | 1092.19 | − | 916.460i | 0.00640324 | − | 0.00537296i | ||||
\(414\) | −207031. | + | 9803.43i | −1.20791 | + | 0.0571975i | ||||
\(415\) | 175251. | − | 30901.4i | 1.01757 | − | 0.179425i | ||||
\(416\) | −25440.7 | − | 105519.i | −0.147008 | − | 0.609737i | ||||
\(417\) | −53304.3 | −0.306542 | ||||||||
\(418\) | 60518.3 | + | 45045.7i | 0.346365 | + | 0.257811i | ||||
\(419\) | − | 94823.2i | − | 0.540115i | −0.962844 | − | 0.270058i | \(-0.912957\pi\) | ||
0.962844 | − | 0.270058i | \(-0.0870427\pi\) | |||||||
\(420\) | 275419. | − | 602182.i | 1.56133 | − | 3.41373i | ||||
\(421\) | −21168.3 | − | 120052.i | −0.119433 | − | 0.677336i | −0.984460 | − | 0.175611i | \(-0.943810\pi\) |
0.865027 | − | 0.501725i | \(-0.167301\pi\) | |||||||
\(422\) | 49642.1 | − | 2350.68i | 0.278757 | − | 0.0131998i | ||||
\(423\) | −387.369 | − | 461.648i | −0.00216493 | − | 0.00258007i | ||||
\(424\) | −22574.9 | − | 42220.0i | −0.125572 | − | 0.234848i | ||||
\(425\) | 50816.9 | − | 88017.5i | 0.281339 | − | 0.487294i | ||||
\(426\) | −104342. | + | 335233.i | −0.574964 | + | 1.84726i | ||||
\(427\) | 69741.1 | + | 191612.i | 0.382501 | + | 1.05091i | ||||
\(428\) | −102068. | + | 28156.6i | −0.557188 | + | 0.153707i | ||||
\(429\) | 34851.9 | + | 60365.3i | 0.189370 | + | 0.327999i | ||||
\(430\) | −1522.10 | − | 6747.99i | −0.00823199 | − | 0.0364953i | ||||
\(431\) | −159213. | − | 28073.5i | −0.857083 | − | 0.151127i | −0.272196 | − | 0.962242i | \(-0.587750\pi\) |
−0.584887 | + | 0.811115i | \(0.698861\pi\) | |||||||
\(432\) | 5910.04 | + | 9896.78i | 0.0316682 | + | 0.0530306i | ||||
\(433\) | −17474.5 | − | 14662.9i | −0.0932031 | − | 0.0782066i | 0.594996 | − | 0.803729i | \(-0.297154\pi\) |
−0.688199 | + | 0.725522i | \(0.741598\pi\) | |||||||
\(434\) | 355006. | − | 466198.i | 1.88476 | − | 2.47509i | ||||
\(435\) | −25069.8 | + | 68878.7i | −0.132487 | + | 0.364004i | ||||
\(436\) | −28935.2 | + | 361379.i | −0.152214 | + | 1.90103i | ||||
\(437\) | −153263. | + | 186767.i | −0.802553 | + | 0.977998i | ||||
\(438\) | −176557. | + | 162985.i | −0.920315 | + | 0.849572i | ||||
\(439\) | 76561.4 | − | 210351.i | 0.397265 | − | 1.09148i | −0.566345 | − | 0.824168i | \(-0.691643\pi\) |
0.963611 | − | 0.267310i | \(-0.0861346\pi\) | |||||||
\(440\) | −76617.1 | + | 85490.9i | −0.395750 | + | 0.441585i | ||||
\(441\) | 401591. | + | 336975.i | 2.06494 | + | 1.73269i | ||||
\(442\) | 77190.5 | + | 9873.16i | 0.395111 | + | 0.0505373i | ||||
\(443\) | 60412.7 | + | 10652.4i | 0.307837 | + | 0.0542800i | 0.325433 | − | 0.945565i | \(-0.394490\pi\) |
−0.0175956 | + | 0.999845i | \(0.505601\pi\) | |||||||
\(444\) | 139040. | − | 201717.i | 0.705301 | − | 1.02324i | ||||
\(445\) | 103154. | + | 178669.i | 0.520916 | + | 0.902253i | ||||
\(446\) | 96938.7 | − | 187904.i | 0.487335 | − | 0.944642i | ||||
\(447\) | 103731. | + | 284998.i | 0.519151 | + | 1.42635i | ||||
\(448\) | 109879. | + | 376576.i | 0.547470 | + | 1.87628i | ||||
\(449\) | 29206.1 | − | 50586.5i | 0.144871 | − | 0.250924i | −0.784454 | − | 0.620187i | \(-0.787057\pi\) |
0.929325 | + | 0.369263i | \(0.120390\pi\) | |||||||
\(450\) | −144292. | + | 92673.3i | −0.712554 | + | 0.457646i | ||||
\(451\) | −82479.9 | − | 98295.7i | −0.405504 | − | 0.483261i | ||||
\(452\) | −58790.7 | + | 59663.5i | −0.287761 | + | 0.292033i | ||||
\(453\) | −25869.4 | − | 146713.i | −0.126064 | − | 0.714942i | ||||
\(454\) | 160510. | − | 67179.2i | 0.778735 | − | 0.325929i | ||||
\(455\) | − | 348533.i | − | 1.68353i | ||||||
\(456\) | −285224. | − | 56679.3i | −1.37169 | − | 0.272581i | ||||
\(457\) | 62532.6 | 0.299415 | 0.149708 | − | 0.988730i | \(-0.452167\pi\) | ||||
0.149708 | + | 0.988730i | \(0.452167\pi\) | |||||||
\(458\) | 22934.7 | + | 54797.5i | 0.109336 | + | 0.261234i | ||||
\(459\) | −8138.83 | + | 1435.09i | −0.0386310 | + | 0.00681169i | ||||
\(460\) | −261869. | − | 258038.i | −1.23757 | − | 1.21946i | ||||
\(461\) | −218149. | + | 183049.i | −1.02648 | + | 0.861323i | −0.990428 | − | 0.138027i | \(-0.955924\pi\) |
−0.0360558 | + | 0.999350i | \(0.511479\pi\) | |||||||
\(462\) | −136135. | − | 211963.i | −0.637804 | − | 0.993059i | ||||
\(463\) | 255292. | + | 147393.i | 1.19090 | + | 0.687566i | 0.958511 | − | 0.285057i | \(-0.0920124\pi\) |
0.232389 | + | 0.972623i | \(0.425346\pi\) | |||||||
\(464\) | −15451.2 | − | 40581.1i | −0.0717673 | − | 0.188490i | ||||
\(465\) | −621140. | + | 226077.i | −2.87266 | + | 1.04556i | ||||
\(466\) | 28521.3 | + | 14713.9i | 0.131340 | + | 0.0677575i | ||||
\(467\) | −204337. | + | 117974.i | −0.936942 | + | 0.540944i | −0.889000 | − | 0.457906i | \(-0.848600\pi\) |
−0.0479417 | + | 0.998850i | \(0.515266\pi\) | |||||||
\(468\) | −108112. | − | 74519.8i | −0.493608 | − | 0.340236i | ||||
\(469\) | 24591.7 | − | 139467.i | 0.111800 | − | 0.634051i | ||||
\(470\) | 135.621 | − | 1060.32i | 0.000613950 | − | 0.00479999i | ||||
\(471\) | 75323.2 | − | 89766.7i | 0.339537 | − | 0.404644i | ||||
\(472\) | 635.882 | − | 709.530i | 0.00285426 | − | 0.00318483i | ||||
\(473\) | −2472.95 | − | 900.081i | −0.0110533 | − | 0.00402308i | ||||
\(474\) | 162142. | + | 175644.i | 0.721671 | + | 0.781764i | ||||
\(475\) | −32554.7 | + | 197233.i | −0.144287 | + | 0.874164i | ||||
\(476\) | −280348. | − | 22447.1i | −1.23732 | − | 0.0990711i | ||||
\(477\) | −54424.6 | − | 19808.9i | −0.239198 | − | 0.0870611i | ||||
\(478\) | −100918. | − | 76847.8i | −0.441684 | − | 0.336338i | ||||
\(479\) | −150695. | + | 179592.i | −0.656794 | + | 0.782736i | −0.986922 | − | 0.161200i | \(-0.948464\pi\) |
0.330128 | + | 0.943936i | \(0.392908\pi\) | |||||||
\(480\) | 125268. | − | 424404.i | 0.543698 | − | 1.84203i | ||||
\(481\) | 22392.1 | − | 126992.i | 0.0967844 | − | 0.548892i | ||||
\(482\) | −73402.5 | + | 16556.9i | −0.315949 | + | 0.0712664i | ||||
\(483\) | 698663. | − | 403374.i | 2.99484 | − | 1.72907i | ||||
\(484\) | −50681.4 | − | 183720.i | −0.216350 | − | 0.784271i | ||||
\(485\) | 287298. | − | 104568.i | 1.22138 | − | 0.444545i | ||||
\(486\) | 314783. | + | 97977.2i | 1.33272 | + | 0.414813i | ||||
\(487\) | −128478. | − | 74176.6i | −0.541713 | − | 0.312758i | 0.204060 | − | 0.978958i | \(-0.434586\pi\) |
−0.745773 | + | 0.666200i | \(0.767920\pi\) | |||||||
\(488\) | 64251.7 | + | 120165.i | 0.269802 | + | 0.504589i | ||||
\(489\) | −309020. | + | 259298.i | −1.29231 | + | 1.08438i | ||||
\(490\) | 43983.5 | + | 928851.i | 0.183188 | + | 3.86860i | ||||
\(491\) | −45454.1 | + | 8014.78i | −0.188543 | + | 0.0332452i | −0.267122 | − | 0.963663i | \(-0.586073\pi\) |
0.0785793 | + | 0.996908i | \(0.474962\pi\) | |||||||
\(492\) | 449794. | + | 205721.i | 1.85816 | + | 0.849863i | ||||
\(493\) | 31132.2 | 0.128090 | ||||||||
\(494\) | −148933. | + | 35311.9i | −0.610289 | + | 0.144699i | ||||
\(495\) | 138876.i | 0.566782i | ||||||||
\(496\) | 190774. | − | 341970.i | 0.775453 | − | 1.39003i | ||||
\(497\) | −115975. | − | 657725.i | −0.469516 | − | 2.66276i | ||||
\(498\) | 12343.1 | + | 260664.i | 0.0497698 | + | 1.05105i | ||||
\(499\) | −257682. | − | 307093.i | −1.03486 | − | 1.23330i | −0.971927 | − | 0.235285i | \(-0.924398\pi\) |
−0.0629368 | − | 0.998018i | \(-0.520047\pi\) | |||||||
\(500\) | 37882.2 | + | 9851.94i | 0.151529 | + | 0.0394078i | ||||
\(501\) | −164663. | + | 285205.i | −0.656026 | + | 1.13627i | ||||
\(502\) | −371132. | − | 115516.i | −1.47272 | − | 0.458390i | ||||
\(503\) | −51365.3 | − | 141125.i | −0.203018 | − | 0.557786i | 0.795843 | − | 0.605503i | \(-0.207028\pi\) |
−0.998861 | + | 0.0477164i | \(0.984806\pi\) | |||||||
\(504\) | 403026. | + | 250537.i | 1.58662 | + | 0.986306i | ||||
\(505\) | 116946. | + | 202556.i | 0.458565 | + | 0.794258i | ||||
\(506\) | −136435. | + | 30774.7i | −0.532875 | + | 0.120197i | ||||
\(507\) | 214755. | + | 37867.0i | 0.835462 | + | 0.147314i | ||||
\(508\) | 127556. | − | 90723.5i | 0.494280 | − | 0.351554i | ||||
\(509\) | 13041.1 | + | 10942.8i | 0.0503361 | + | 0.0422370i | 0.667609 | − | 0.744512i | \(-0.267318\pi\) |
−0.617273 | + | 0.786749i | \(0.711762\pi\) | |||||||
\(510\) | 252404. | + | 192204.i | 0.970413 | + | 0.738960i | ||||
\(511\) | 156331. | − | 429515.i | 0.598691 | − | 1.64489i | ||||
\(512\) | 108292. | + | 238731.i | 0.413100 | + | 0.910686i | ||||
\(513\) | 13987.4 | − | 8281.20i | 0.0531501 | − | 0.0314672i | ||||
\(514\) | −189665. | − | 205458.i | −0.717894 | − | 0.777672i | ||||
\(515\) | −169338. | + | 465252.i | −0.638469 | + | 1.75418i | ||||
\(516\) | 10098.6 | − | 958.539i | 0.0379282 | − | 0.00360007i | ||||
\(517\) | −311.525 | − | 261.401i | −0.00116550 | − | 0.000977970i | ||||
\(518\) | −59127.7 | + | 462273.i | −0.220359 | + | 1.72282i | ||||
\(519\) | 14023.5 | + | 2472.72i | 0.0520621 | + | 0.00917994i | ||||
\(520\) | −32951.1 | − | 230568.i | −0.121860 | − | 0.852691i | ||||
\(521\) | −169595. | − | 293748.i | −0.624796 | − | 1.08218i | −0.988580 | − | 0.150696i | \(-0.951849\pi\) |
0.363784 | − | 0.931483i | \(-0.381485\pi\) | |||||||
\(522\) | −46683.8 | − | 24083.9i | −0.171327 | − | 0.0883864i | ||||
\(523\) | −96792.7 | − | 265936.i | −0.353866 | − | 0.972239i | −0.981116 | − | 0.193421i | \(-0.938042\pi\) |
0.627250 | − | 0.778818i | \(-0.284181\pi\) | |||||||
\(524\) | 196571. | + | 413564.i | 0.715906 | + | 1.50619i | ||||
\(525\) | 333752. | − | 578075.i | 1.21089 | − | 2.09733i | ||||
\(526\) | 152180. | + | 236944.i | 0.550029 | + | 0.856394i | ||||
\(527\) | 180460. | + | 215064.i | 0.649772 | + | 0.774368i | ||||
\(528\) | −110098. | − | 127350.i | −0.394922 | − | 0.456807i | ||||
\(529\) | −29184.1 | − | 165511.i | −0.104288 | − | 0.591447i | ||||
\(530\) | −39663.8 | − | 94767.8i | −0.141202 | − | 0.337372i | ||||
\(531\) | − | 1152.60i | − | 0.00408779i | ||||||
\(532\) | 531614. | − | 152936.i | 1.87834 | − | 0.540364i | ||||
\(533\) | 260333. | 0.916380 | ||||||||
\(534\) | −279078. | + | 116804.i | −0.978685 | + | 0.409615i | ||||
\(535\) | −223747. | + | 39452.6i | −0.781716 | + | 0.137838i | ||||
\(536\) | 3082.86 | − | 94587.2i | 0.0107306 | − | 0.329232i | ||||
\(537\) | −162681. | + | 136506.i | −0.564143 | + | 0.473373i | ||||
\(538\) | 246640. | − | 158408.i | 0.852117 | − | 0.547282i | ||||
\(539\) | 306367. | + | 176881.i | 1.05454 | + | 0.608842i | ||||
\(540\) | 10618.3 | + | 22339.9i | 0.0364140 | + | 0.0766113i | ||||
\(541\) | 456389. | − | 166112.i | 1.55934 | − | 0.567553i | 0.588755 | − | 0.808312i | \(-0.299618\pi\) |
0.970585 | + | 0.240759i | \(0.0773962\pi\) | |||||||
\(542\) | 207256. | − | 401741.i | 0.705517 | − | 1.36756i | ||||
\(543\) | 200936. | − | 116010.i | 0.681488 | − | 0.393457i | ||||
\(544\) | −187582. | + | 11655.1i | −0.633862 | + | 0.0393837i | ||||
\(545\) | −135086. | + | 766111.i | −0.454797 | + | 2.57928i | ||||
\(546\) | 506966. | + | 64844.3i | 1.70057 | + | 0.217514i | ||||
\(547\) | 26524.4 | − | 31610.5i | 0.0886483 | − | 0.105647i | −0.719897 | − | 0.694081i | \(-0.755811\pi\) |
0.808545 | + | 0.588434i | \(0.200255\pi\) | |||||||
\(548\) | −127095. | + | 12063.6i | −0.423220 | + | 0.0401712i | ||||
\(549\) | 154901. | + | 56379.4i | 0.513937 | + | 0.187058i | ||||
\(550\) | −85031.2 | + | 78495.0i | −0.281095 | + | 0.259487i | ||||
\(551\) | −57307.7 | + | 21571.9i | −0.188760 | + | 0.0710534i | ||||
\(552\) | 424056. | − | 332900.i | 1.39170 | − | 1.09253i | ||||
\(553\) | −427293. | − | 155522.i | −1.39725 | − | 0.508559i | ||||
\(554\) | −8647.01 | + | 11355.4i | −0.0281739 | + | 0.0369983i | ||||
\(555\) | 337919. | − | 402716.i | 1.09705 | − | 1.30741i | ||||
\(556\) | 55217.9 | − | 39273.5i | 0.178620 | − | 0.127043i | ||||
\(557\) | −80795.1 | + | 458212.i | −0.260420 | + | 1.47692i | 0.521346 | + | 0.853345i | \(0.325430\pi\) |
−0.781766 | + | 0.623572i | \(0.785681\pi\) | |||||||
\(558\) | −104233. | − | 462101.i | −0.334762 | − | 1.48412i | ||||
\(559\) | 4623.92 | − | 2669.62i | 0.0147974 | − | 0.00854330i | ||||
\(560\) | 158368. | + | 826723.i | 0.505002 | + | 2.63623i | ||||
\(561\) | 113416. | − | 41279.9i | 0.360368 | − | 0.131163i | ||||
\(562\) | −37220.3 | + | 119582.i | −0.117844 | + | 0.378611i | ||||
\(563\) | −94122.5 | − | 54341.6i | −0.296945 | − | 0.171442i | 0.344124 | − | 0.938924i | \(-0.388176\pi\) |
−0.641070 | + | 0.767483i | \(0.721509\pi\) | |||||||
\(564\) | 1517.07 | + | 394.542i | 0.00476924 | + | 0.00124032i | ||||
\(565\) | −137686. | + | 115533.i | −0.431315 | + | 0.361916i | ||||
\(566\) | 137866. | − | 6528.31i | 0.430352 | − | 0.0203783i | ||||
\(567\) | −644933. | + | 113719.i | −2.00608 | + | 0.353726i | ||||
\(568\) | −138904. | − | 424145.i | −0.430545 | − | 1.31467i | ||||
\(569\) | 480813. | 1.48509 | 0.742543 | − | 0.669798i | \(-0.233619\pi\) | ||||
0.742543 | + | 0.669798i | \(0.233619\pi\) | |||||||
\(570\) | −597803. | − | 178912.i | −1.83996 | − | 0.550666i | ||||
\(571\) | − | 41392.9i | − | 0.126956i | −0.997983 | − | 0.0634781i | \(-0.979781\pi\) | ||
0.997983 | − | 0.0634781i | \(-0.0202193\pi\) | |||||||
\(572\) | −80578.9 | − | 36854.2i | −0.246280 | − | 0.112641i | ||||
\(573\) | −43159.2 | − | 244768.i | −0.131451 | − | 0.745497i | ||||
\(574\) | −939811. | + | 44502.5i | −2.85244 | + | 0.135070i | ||||
\(575\) | −238216. | − | 283894.i | −0.720501 | − | 0.858660i | ||||
\(576\) | 290303. | + | 127637.i | 0.874996 | + | 0.384708i | ||||
\(577\) | 184212. | − | 319065.i | 0.553307 | − | 0.958356i | −0.444726 | − | 0.895667i | \(-0.646699\pi\) |
0.998033 | − | 0.0626894i | \(-0.0199677\pi\) | |||||||
\(578\) | −59241.1 | + | 190331.i | −0.177324 | + | 0.569710i | ||||
\(579\) | −251583. | − | 691217.i | −0.750453 | − | 2.06185i | ||||
\(580\) | −24778.5 | − | 89822.3i | −0.0736580 | − | 0.267010i | ||||
\(581\) | −248201. | − | 429898.i | −0.735279 | − | 1.27354i | ||||
\(582\) | 98650.1 | + | 437351.i | 0.291240 | + | 1.29117i | ||||
\(583\) | −38489.5 | − | 6786.74i | −0.113241 | − | 0.0199675i | ||||
\(584\) | 62811.2 | − | 298920.i | 0.184167 | − | 0.876454i | ||||
\(585\) | −215839. | − | 181110.i | −0.630694 | − | 0.529215i | ||||
\(586\) | −54459.7 | + | 71517.3i | −0.158592 | + | 0.208265i | ||||
\(587\) | −80758.4 | + | 221882.i | −0.234375 | + | 0.643940i | 0.765625 | + | 0.643288i | \(0.222430\pi\) |
−1.00000 | 0.000652783i | \(0.999792\pi\) | ||||||||
\(588\) | −1.35926e6 | − | 108835.i | −3.93142 | − | 0.314784i | ||||
\(589\) | −481210. | − | 270844.i | −1.38709 | − | 0.780709i | ||||
\(590\) | 1502.24 | − | 1386.77i | 0.00431554 | − | 0.00398381i | ||||
\(591\) | −191215. | + | 525359.i | −0.547454 | + | 1.50412i | ||||
\(592\) | 4589.12 | + | 311401.i | 0.0130944 | + | 0.888538i | ||||
\(593\) | 331232. | + | 277936.i | 0.941938 | + | 0.790380i | 0.977922 | − | 0.208972i | \(-0.0670119\pi\) |
−0.0359833 | + | 0.999352i | \(0.511456\pi\) | |||||||
\(594\) | 9333.98 | + | 1193.88i | 0.0264542 | + | 0.00338366i | ||||
\(595\) | −594328. | − | 104796.i | −1.67877 | − | 0.296013i | ||||
\(596\) | −317436. | − | 218803.i | −0.893641 | − | 0.615972i | ||||
\(597\) | 359223. | + | 622193.i | 1.00790 | + | 1.74573i | ||||
\(598\) | 130098. | − | 252180.i | 0.363804 | − | 0.705192i | ||||
\(599\) | 164688. | + | 452476.i | 0.458995 | + | 1.26108i | 0.926234 | + | 0.376948i | \(0.123026\pi\) |
−0.467239 | + | 0.884131i | \(0.654751\pi\) | |||||||
\(600\) | 166137. | − | 413972.i | 0.461491 | − | 1.14992i | ||||
\(601\) | −191579. | + | 331824.i | −0.530394 | + | 0.918669i | 0.468977 | + | 0.883210i | \(0.344623\pi\) |
−0.999371 | + | 0.0354590i | \(0.988711\pi\) | |||||||
\(602\) | −16236.1 | + | 10427.8i | −0.0448011 | + | 0.0287741i | ||||
\(603\) | −73589.8 | − | 87701.0i | −0.202387 | − | 0.241196i | ||||
\(604\) | 134893. | + | 132919.i | 0.369756 | + | 0.364347i | ||||
\(605\) | −71013.8 | − | 402740.i | −0.194014 | − | 1.10031i | ||||
\(606\) | −316389. | + | 132420.i | −0.861542 | + | 0.360587i | ||||
\(607\) | 411877.i | 1.11787i | 0.829213 | + | 0.558933i | \(0.188789\pi\) | ||||
−0.829213 | + | 0.558933i | \(0.811211\pi\) | |||||||
\(608\) | 337223. | − | 151433.i | 0.912243 | − | 0.409650i | ||||
\(609\) | 204468. | 0.551303 | ||||||||
\(610\) | 112889. | + | 269724.i | 0.303385 | + | 0.724871i | ||||
\(611\) | 812.531 | − | 143.271i | 0.00217650 | − | 0.000383775i | ||||
\(612\) | −159580. | + | 161949.i | −0.426064 | + | 0.432389i | ||||
\(613\) | −78949.7 | + | 66246.7i | −0.210102 | + | 0.176296i | −0.741766 | − | 0.670659i | \(-0.766011\pi\) |
0.531664 | + | 0.846955i | \(0.321567\pi\) | |||||||
\(614\) | 184234. | + | 286852.i | 0.488690 | + | 0.760890i | ||||
\(615\) | 919137. | + | 530664.i | 2.43013 | + | 1.40304i | ||||
\(616\) | 297192. | + | 119270.i | 0.783206 | + | 0.314319i | ||||
\(617\) | −319958. | + | 116455.i | −0.840470 | + | 0.305906i | −0.726149 | − | 0.687538i | \(-0.758692\pi\) |
−0.114321 | + | 0.993444i | \(0.536469\pi\) | |||||||
\(618\) | −645237. | − | 332873.i | −1.68944 | − | 0.871570i | ||||
\(619\) | −361434. | + | 208674.i | −0.943296 | + | 0.544612i | −0.890992 | − | 0.454019i | \(-0.849990\pi\) |
−0.0523039 | + | 0.998631i | \(0.516656\pi\) | |||||||
\(620\) | 476871. | − | 691836.i | 1.24056 | − | 1.79978i | ||||
\(621\) | −5232.93 | + | 29677.4i | −0.0135694 | + | 0.0769561i | ||||
\(622\) | 72753.4 | − | 568801.i | 0.188050 | − | 1.47021i | ||||
\(623\) | 369923. | − | 440857.i | 0.953092 | − | 1.13585i | ||||
\(624\) | 341507. | − | 5032.81i | 0.877063 | − | 0.0129253i | ||||
\(625\) | 404145. | + | 147097.i | 1.03461 | + | 0.376568i | ||||
\(626\) | −305018. | − | 330416.i | −0.778352 | − | 0.843165i | ||||
\(627\) | −180170. | + | 154574.i | −0.458299 | + | 0.393190i | ||||
\(628\) | −11889.1 | + | 148486.i | −0.0301460 | + | 0.376501i | ||||
\(629\) | −209817. | − | 76367.3i | −0.530323 | − | 0.193022i | ||||
\(630\) | 810145. | + | 616918.i | 2.04118 | + | 1.55434i | ||||
\(631\) | 15500.4 | − | 18472.7i | 0.0389300 | − | 0.0463949i | −0.746228 | − | 0.665690i | \(-0.768137\pi\) |
0.785158 | + | 0.619295i | \(0.212582\pi\) | |||||||
\(632\) | −297373. | − | 62486.3i | −0.744506 | − | 0.156441i | ||||
\(633\) | −27155.3 | + | 154006.i | −0.0677716 | + | 0.384352i | ||||
\(634\) | 401748. | − | 90619.5i | 0.999484 | − | 0.225446i | ||||
\(635\) | 290881. | − | 167940.i | 0.721385 | − | 0.416492i | ||||
\(636\) | 145226. | − | 40062.3i | 0.359029 | − | 0.0990425i | ||||
\(637\) | −674446. | + | 245478.i | −1.66214 | + | 0.604971i | ||||
\(638\) | −33846.2 | − | 10534.8i | −0.0831513 | − | 0.0258811i | ||||
\(639\) | −467579. | − | 269957.i | −1.14513 | − | 0.661139i | ||||
\(640\) | 182927. | + | 531935.i | 0.446598 | + | 1.29867i | ||||
\(641\) | −70869.2 | + | 59466.3i | −0.172481 | + | 0.144729i | −0.724942 | − | 0.688810i | \(-0.758133\pi\) |
0.552461 | + | 0.833539i | \(0.313689\pi\) | |||||||
\(642\) | −15758.7 | − | 332796.i | −0.0382341 | − | 0.807435i | ||||
\(643\) | −53595.9 | + | 9450.40i | −0.129631 | + | 0.0228575i | −0.238087 | − | 0.971244i | \(-0.576520\pi\) |
0.108456 | + | 0.994101i | \(0.465409\pi\) | |||||||
\(644\) | −426548. | + | 932615.i | −1.02848 | + | 2.24870i | ||||
\(645\) | 21767.0 | 0.0523214 | ||||||||
\(646\) | 15434.1 | + | 264581.i | 0.0369842 | + | 0.634006i | ||||
\(647\) | − | 433335.i | − | 1.03518i | −0.855629 | − | 0.517589i | \(-0.826830\pi\) | ||
0.855629 | − | 0.517589i | \(-0.173170\pi\) | |||||||
\(648\) | −415896. | + | 136203.i | −0.990454 | + | 0.324366i | ||||
\(649\) | −135.061 | − | 765.968i | −0.000320657 | − | 0.00181853i | ||||
\(650\) | −11105.2 | − | 234521.i | −0.0262844 | − | 0.555080i | ||||
\(651\) | 1.18522e6 | + | 1.41248e6i | 2.79663 | + | 3.33290i | ||||
\(652\) | 129068. | − | 496286.i | 0.303615 | − | 1.16745i | ||||
\(653\) | 88713.4 | − | 153656.i | 0.208048 | − | 0.360349i | −0.743052 | − | 0.669234i | \(-0.766622\pi\) |
0.951099 | + | 0.308885i | \(0.0999557\pi\) | |||||||
\(654\) | −1.08923e6 | − | 339026.i | −2.54662 | − | 0.792643i | ||||
\(655\) | 336059. | + | 923314.i | 0.783308 | + | 2.15212i | ||||
\(656\) | −617512. | + | 118292.i | −1.43495 | + | 0.274882i | ||||
\(657\) | −184754. | − | 320004.i | −0.428020 | − | 0.741352i | ||||
\(658\) | −2908.77 | + | 656.110i | −0.00671827 | + | 0.00151539i | ||||
\(659\) | 345211. | + | 60870.0i | 0.794902 | + | 0.140163i | 0.556329 | − | 0.830962i | \(-0.312209\pi\) |
0.238573 | + | 0.971125i | \(0.423320\pi\) | |||||||
\(660\) | −209369. | − | 294370.i | −0.480646 | − | 0.675781i | ||||
\(661\) | −493112. | − | 413770.i | −1.12861 | − | 0.947014i | −0.129600 | − | 0.991566i | \(-0.541369\pi\) |
−0.999007 | + | 0.0445527i | \(0.985814\pi\) | |||||||
\(662\) | 252259. | + | 192093.i | 0.575613 | + | 0.438324i | ||||
\(663\) | −83750.6 | + | 230103.i | −0.190529 | + | 0.523474i | ||||
\(664\) | −204838. | − | 260928.i | −0.464594 | − | 0.591812i | ||||
\(665\) | 1.16665e6 | − | 218910.i | 2.63813 | − | 0.495020i | ||||
\(666\) | 255551. | + | 276830.i | 0.576141 | + | 0.624116i | ||||
\(667\) | 38826.2 | − | 106674.i | 0.0872718 | − | 0.239777i | ||||
\(668\) | −39558.4 | − | 416764.i | −0.0886514 | − | 0.933979i | ||||
\(669\) | 509661. | + | 427656.i | 1.13875 | + | 0.955526i | ||||
\(670\) | 25764.5 | − | 201432.i | 0.0573947 | − | 0.448724i | ||||
\(671\) | 109547. | + | 19316.2i | 0.243308 | + | 0.0429018i | ||||
\(672\) | −1.23199e6 | + | 76547.2i | −2.72815 | + | 0.169508i | ||||
\(673\) | 236662. | + | 409911.i | 0.522515 | + | 0.905022i | 0.999657 | + | 0.0261962i | \(0.00833946\pi\) |
−0.477142 | + | 0.878826i | \(0.658327\pi\) | |||||||
\(674\) | 294071. | + | 151709.i | 0.647340 | + | 0.333959i | ||||
\(675\) | 8527.91 | + | 23430.2i | 0.0187169 | + | 0.0514244i | ||||
\(676\) | −250364. | + | 119000.i | −0.547871 | + | 0.260408i | ||||
\(677\) | −259304. | + | 449128.i | −0.565760 | + | 0.979925i | 0.431219 | + | 0.902247i | \(0.358084\pi\) |
−0.996979 | + | 0.0776775i | \(0.975250\pi\) | |||||||
\(678\) | −142434. | − | 221769.i | −0.309852 | − | 0.482439i | ||||
\(679\) | −548202. | − | 653322.i | −1.18905 | − | 1.41706i | ||||
\(680\) | −403077. | − | 13137.4i | −0.871707 | − | 0.0284114i | ||||
\(681\) | 95076.1 | + | 539203.i | 0.205011 | + | 1.16267i | ||||
\(682\) | −123418. | − | 294879.i | −0.265343 | − | 0.633979i | ||||
\(683\) | − | 404044.i | − | 0.866138i | −0.901361 | − | 0.433069i | \(-0.857431\pi\) | ||
0.901361 | − | 0.433069i | \(-0.142569\pi\) | |||||||
\(684\) | 181536. | − | 408688.i | 0.388017 | − | 0.873534i | ||||
\(685\) | −273946. | −0.583827 | ||||||||
\(686\) | 1.54434e6 | − | 646360.i | 3.28166 | − | 1.37349i | ||||
\(687\) | −184082. | + | 32458.6i | −0.390030 | + | 0.0687728i | ||||
\(688\) | −9754.91 | + | 8433.39i | −0.0206085 | + | 0.0178166i | ||||
\(689\) | 60742.7 | − | 50969.2i | 0.127955 | − | 0.107367i | ||||
\(690\) | 973369. | − | 625157.i | 2.04446 | − | 1.31308i | ||||
\(691\) | −133301. | − | 76961.6i | −0.279176 | − | 0.161182i | 0.353874 | − | 0.935293i | \(-0.384864\pi\) |
−0.633050 | + | 0.774111i | \(0.718197\pi\) | |||||||
\(692\) | −16348.8 | + | 7770.72i | −0.0341407 | + | 0.0162274i | ||||
\(693\) | 364031. | − | 132496.i | 0.758004 | − | 0.275891i | ||||
\(694\) | 55423.6 | − | 107432.i | 0.115074 | − | 0.223057i | ||||
\(695\) | 125920. | − | 72699.8i | 0.260690 | − | 0.150509i | ||||
\(696\) | 135263. | − | 19330.8i | 0.279229 | − | 0.0399054i | ||||
\(697\) | 78276.3 | − | 443927.i | 0.161126 | − | 0.913790i | ||||
\(698\) | 12163.3 | + | 1555.77i | 0.0249656 | + | 0.00319326i | ||||
\(699\) | −64912.3 | + | 77359.5i | −0.132853 | + | 0.158328i | ||||
\(700\) | 80180.0 | + | 844729.i | 0.163633 | + | 1.72394i | ||||
\(701\) | −92559.6 | − | 33688.9i | −0.188359 | − | 0.0685569i | 0.246119 | − | 0.969240i | \(-0.420845\pi\) |
−0.434477 | + | 0.900683i | \(0.643067\pi\) | |||||||
\(702\) | −14028.1 | + | 12949.8i | −0.0284659 | + | 0.0262778i | ||||
\(703\) | 439145. | − | 4809.22i | 0.888581 | − | 0.00973114i | ||||
\(704\) | 207880. | + | 50804.5i | 0.419437 | + | 0.102508i | ||||
\(705\) | 3160.78 | + | 1150.43i | 0.00635940 | + | 0.00231463i | ||||
\(706\) | −210017. | + | 275797.i | −0.421352 | + | 0.553326i | ||||
\(707\) | 419380. | − | 499797.i | 0.839012 | − | 0.999896i | ||||
\(708\) | 1737.66 | + | 2443.12i | 0.00346655 | + | 0.00487392i | ||||
\(709\) | −154234. | + | 874704.i | −0.306823 | + | 1.74008i | 0.307977 | + | 0.951394i | \(0.400348\pi\) |
−0.614799 | + | 0.788684i | \(0.710763\pi\) | |||||||
\(710\) | −210726. | − | 934223.i | −0.418024 | − | 1.85325i | ||||
\(711\) | −318348. | + | 183798.i | −0.629743 | + | 0.363582i | ||||
\(712\) | 203038. | − | 326616.i | 0.400513 | − | 0.644284i | ||||
\(713\) | 961977. | − | 350131.i | 1.89228 | − | 0.688734i | ||||
\(714\) | 263007. | − | 844995.i | 0.515907 | − | 1.65751i | ||||
\(715\) | −164660. | − | 95066.6i | −0.322089 | − | 0.185958i | ||||
\(716\) | 67947.0 | − | 261267.i | 0.132539 | − | 0.509634i | ||||
\(717\) | 305760. | − | 256563.i | 0.594760 | − | 0.499063i | ||||
\(718\) | 343587. | − | 16269.7i | 0.666482 | − | 0.0315596i | ||||
\(719\) | −845429. | + | 149072.i | −1.63538 | + | 0.288362i | −0.914467 | − | 0.404661i | \(-0.867389\pi\) |
−0.720915 | + | 0.693023i | \(0.756278\pi\) | |||||||
\(720\) | 594265. | + | 331521.i | 1.14635 | + | 0.639508i | ||||
\(721\) | 1.38111e6 | 2.65679 | ||||||||
\(722\) | −211742. | − | 476343.i | −0.406194 | − | 0.913787i | ||||
\(723\) | − | 236775.i | − | 0.452959i | ||||||
\(724\) | −122676. | + | 268221.i | −0.234035 | + | 0.511699i | ||||
\(725\) | −16310.2 | − | 92500.0i | −0.0310302 | − | 0.175981i | ||||
\(726\) | 599025. | − | 28365.4i | 1.13651 | − | 0.0538165i | ||||
\(727\) | −99394.4 | − | 118454.i | −0.188059 | − | 0.224119i | 0.663775 | − | 0.747933i | \(-0.268953\pi\) |
−0.851833 | + | 0.523813i | \(0.824509\pi\) | |||||||
\(728\) | −572942. | + | 306350.i | −1.08106 | + | 0.578036i | ||||
\(729\) | −241753. | + | 418729.i | −0.454902 | + | 0.787913i | ||||
\(730\) | 194788. | − | 625817.i | 0.365524 | − | 1.17436i | ||||
\(731\) | −3162.00 | − | 8687.51i | −0.00591734 | − | 0.0162578i | ||||
\(732\) | −413336. | + | 114024.i | −0.771403 | + | 0.212801i | ||||
\(733\) | 87735.6 | + | 151963.i | 0.163293 | + | 0.282832i | 0.936048 | − | 0.351873i | \(-0.114455\pi\) |
−0.772755 | + | 0.634705i | \(0.781122\pi\) | |||||||
\(734\) | 104878. | + | 464962.i | 0.194667 | + | 0.863029i | ||||
\(735\) | −2.88159e6 | − | 508103.i | −5.33406 | − | 0.940539i | ||||
\(736\) | −194006. | + | 657286.i | −0.358146 | + | 1.21339i | ||||
\(737\) | −59181.5 | − | 49659.2i | −0.108956 | − | 0.0914249i | ||||
\(738\) | −460800. | + | 605130.i | −0.846058 | + | 1.11106i | ||||
\(739\) | −174406. | + | 479177.i | −0.319355 | + | 0.877420i | 0.671320 | + | 0.741168i | \(0.265728\pi\) |
−0.990674 | + | 0.136252i | \(0.956494\pi\) | |||||||
\(740\) | −53337.5 | + | 666145.i | −0.0974023 | + | 1.21648i | ||||
\(741\) | −5274.18 | − | 481602.i | −0.00960547 | − | 0.877106i | ||||
\(742\) | −210570. | + | 194384.i | −0.382463 | + | 0.353063i | ||||
\(743\) | −369472. | + | 1.01512e6i | −0.669274 | + | 1.83882i | −0.140443 | + | 0.990089i | \(0.544853\pi\) |
−0.528831 | + | 0.848727i | \(0.677369\pi\) | |||||||
\(744\) | 917603. | + | 822357.i | 1.65771 | + | 1.48564i | ||||
\(745\) | −633741. | − | 531772.i | −1.14182 | − | 0.958105i | ||||
\(746\) | −520494. | − | 66574.6i | −0.935273 | − | 0.119627i | ||||
\(747\) | −395201. | − | 69684.5i | −0.708233 | − | 0.124881i | ||||
\(748\) | −87073.0 | + | 126324.i | −0.155625 | + | 0.225778i | ||||
\(749\) | 316885. | + | 548860.i | 0.564856 | + | 0.978359i | ||||
\(750\) | −56469.5 | + | 109460.i | −0.100390 | + | 0.194595i | ||||
\(751\) | −231760. | − | 636756.i | −0.410922 | − | 1.12900i | −0.956702 | − | 0.291070i | \(-0.905989\pi\) |
0.545780 | − | 0.837929i | \(-0.316234\pi\) | |||||||
\(752\) | −1862.23 | + | 709.042i | −0.00329304 | + | 0.00125382i | ||||
\(753\) | 611542. | − | 1.05922e6i | 1.07854 | − | 1.86809i | ||||
\(754\) | 60512.5 | − | 38864.8i | 0.106439 | − | 0.0683619i | ||||
\(755\) | 261207. | + | 311294.i | 0.458238 | + | 0.546106i | ||||
\(756\) | 48428.2 | − | 49147.2i | 0.0847334 | − | 0.0859914i | ||||
\(757\) | −96139.2 | − | 545233.i | −0.167768 | − | 0.951459i | −0.946164 | − | 0.323686i | \(-0.895078\pi\) |
0.778397 | − | 0.627773i | \(-0.216033\pi\) | |||||||
\(758\) | −286610. | + | 119957.i | −0.498831 | + | 0.208779i | ||||
\(759\) | − | 440100.i | − | 0.763954i | ||||||
\(760\) | 751082. | − | 255114.i | 1.30035 | − | 0.441680i | ||||
\(761\) | −103331. | −0.178427 | −0.0892135 | − | 0.996013i | \(-0.528435\pi\) | ||||
−0.0892135 | + | 0.996013i | \(0.528435\pi\) | |||||||
\(762\) | 190163. | + | 454351.i | 0.327503 | + | 0.782496i | ||||
\(763\) | 2.13706e6 | − | 376822.i | 3.67086 | − | 0.647272i | ||||
\(764\) | 225049. | + | 221756.i | 0.385558 | + | 0.379918i | ||||
\(765\) | −373732. | + | 313598.i | −0.638613 | + | 0.535860i | ||||
\(766\) | 322159. | + | 501600.i | 0.549050 | + | 0.854870i | ||||
\(767\) | 1366.59 | + | 789.003i | 0.00232300 | + | 0.00134118i | ||||
\(768\) | −807770. | + | 167114.i | −1.36951 | + | 0.283328i | ||||
\(769\) | −166552. | + | 60619.9i | −0.281642 | + | 0.102509i | −0.478979 | − | 0.877827i | \(-0.658993\pi\) |
0.197337 | + | 0.980336i | \(0.436771\pi\) | |||||||
\(770\) | 610679. | + | 315045.i | 1.02999 | + | 0.531363i | ||||
\(771\) | 761978. | − | 439928.i | 1.28184 | − | 0.740071i | ||||
\(772\) | 769889. | + | 530671.i | 1.29179 | + | 0.890412i | ||||
\(773\) | 206020. | − | 1.16840e6i | 0.344786 | − | 1.95538i | 0.0541997 | − | 0.998530i | \(-0.482739\pi\) |
0.290586 | − | 0.956849i | \(-0.406150\pi\) | |||||||
\(774\) | −1979.14 | + | 15473.3i | −0.00330366 | + | 0.0258287i | ||||
\(775\) | 544456. | − | 648857.i | 0.906482 | − | 1.08030i | ||||
\(776\) | −424422. | − | 380368.i | −0.704814 | − | 0.631656i | ||||
\(777\) | −1.37802e6 | − | 501559.i | −2.28252 | − | 0.830769i | ||||
\(778\) | 759760. | + | 823025.i | 1.25521 | + | 1.35973i | ||||
\(779\) | 163513. | + | 871414.i | 0.269449 | + | 1.43598i | ||||
\(780\) | 730549. | + | 58494.3i | 1.20077 | + | 0.0961445i | ||||
\(781\) | −342367. | − | 124611.i | −0.561293 | − | 0.204294i | ||||
\(782\) | −390906. | − | 297671.i | −0.639232 | − | 0.486769i | ||||
\(783\) | −4909.41 | + | 5850.81i | −0.00800766 | + | 0.00954316i | ||||
\(784\) | 1.48825e6 | − | 888734.i | 2.42127 | − | 1.44591i | ||||
\(785\) | −55505.1 | + | 314785.i | −0.0900728 | + | 0.510828i | ||||
\(786\) | −1.40555e6 | + | 317040.i | −2.27510 | + | 0.513178i | ||||
\(787\) | 1.02166e6 | − | 589859.i | 1.64953 | − | 0.952354i | 0.672265 | − | 0.740310i | \(-0.265321\pi\) |
0.977260 | − | 0.212044i | \(-0.0680119\pi\) | |||||||
\(788\) | −188994. | − | 685103.i | −0.304365 | − | 1.10333i | ||||
\(789\) | −832672. | + | 303068.i | −1.33758 | + | 0.486839i | ||||
\(790\) | −622580. | − | 193780.i | −0.997564 | − | 0.310495i | ||||
\(791\) | 434204. | + | 250688.i | 0.693970 | + | 0.400664i | ||||
\(792\) | 228293. | − | 122067.i | 0.363951 | − | 0.194603i | ||||
\(793\) | −172884. | + | 145067.i | −0.274921 | + | 0.230686i | ||||
\(794\) | −29736.0 | − | 627969.i | −0.0471673 | − | 0.996087i | ||||
\(795\) | 318355. | − | 56134.6i | 0.503706 | − | 0.0888170i | ||||
\(796\) | −830538. | − | 379861.i | −1.31079 | − | 0.599514i | ||||
\(797\) | 248054. | 0.390507 | 0.195254 | − | 0.980753i | \(-0.437447\pi\) | ||||
0.195254 | + | 0.980753i | \(0.437447\pi\) | |||||||
\(798\) | 101367. | + | 1.73770e6i | 0.159181 | + | 2.72878i | ||||
\(799\) | − | 1428.63i | − | 0.00223782i | ||||||
\(800\) | 132905. | + | 551239.i | 0.207663 | + | 0.861311i | ||||
\(801\) | −80787.8 | − | 458170.i | −0.125916 | − | 0.714104i | ||||
\(802\) | 31519.7 | + | 665638.i | 0.0490042 | + | 1.03488i | ||||
\(803\) | −160278. | − | 191012.i | −0.248566 | − | 0.296230i | ||||
\(804\) | 288204. | + | 74952.5i | 0.445849 | + | 0.115951i | ||||
\(805\) | −1.10029e6 | + | 1.90577e6i | −1.69792 | + | 2.94088i | ||||
\(806\) | 619248. | + | 192743.i | 0.953224 | + | 0.296694i | ||||
\(807\) | 315470. | + | 866747.i | 0.484408 | + | 1.33090i | ||||
\(808\) | 230183. | − | 370283.i | 0.352574 | − | 0.567167i | ||||
\(809\) | −557071. | − | 964875.i | −0.851164 | − | 1.47426i | −0.880159 | − | 0.474680i | \(-0.842564\pi\) |
0.0289946 | − | 0.999580i | \(-0.490769\pi\) | |||||||
\(810\) | −916054. | + | 206628.i | −1.39621 | + | 0.314933i | ||||
\(811\) | 138470. | + | 24416.0i | 0.210530 | + | 0.0371221i | 0.277918 | − | 0.960605i | \(-0.410356\pi\) |
−0.0673883 | + | 0.997727i | \(0.521467\pi\) | |||||||
\(812\) | −211808. | + | 150647.i | −0.321241 | + | 0.228481i | ||||
\(813\) | 1.08966e6 | + | 914332.i | 1.64858 | + | 1.38332i | ||||
\(814\) | 202267. | + | 154025.i | 0.305265 | + | 0.232456i | ||||
\(815\) | 376344. | − | 1.03400e6i | 0.566591 | − | 1.55670i | ||||
\(816\) | 94101.4 | − | 583860.i | 0.141324 | − | 0.876856i | ||||
\(817\) | 11840.2 | + | 13800.9i | 0.0177385 | + | 0.0206758i | ||||
\(818\) | −265242. | − | 287329.i | −0.396402 | − | 0.429411i | ||||
\(819\) | −268815. | + | 738563.i | −0.400761 | + | 1.10108i | ||||
\(820\) | −1.34312e6 | + | 127486.i | −1.99750 | + | 0.189598i | ||||
\(821\) | −300598. | − | 252232.i | −0.445964 | − | 0.374208i | 0.391971 | − | 0.919977i | \(-0.371793\pi\) |
−0.837936 | + | 0.545769i | \(0.816238\pi\) | |||||||
\(822\) | 50967.4 | − | 398474.i | 0.0754308 | − | 0.589734i | ||||
\(823\) | 552045. | + | 97340.4i | 0.815032 | + | 0.143712i | 0.565599 | − | 0.824680i | \(-0.308645\pi\) |
0.249432 | + | 0.968392i | \(0.419756\pi\) | |||||||
\(824\) | 913655. | − | 130573.i | 1.34564 | − | 0.192309i | ||||
\(825\) | −182070. | − | 315354.i | −0.267503 | − | 0.463330i | ||||
\(826\) | −5068.32 | − | 2614.71i | −0.00742855 | − | 0.00383234i | ||||
\(827\) | −166066. | − | 456263.i | −0.242812 | − | 0.667121i | −0.999905 | − | 0.0138131i | \(-0.995603\pi\) |
0.757092 | − | 0.653308i | \(-0.226619\pi\) | |||||||
\(828\) | 355898. | + | 748773.i | 0.519117 | + | 1.09217i | ||||
\(829\) | −379681. | + | 657627.i | −0.552472 | + | 0.956909i | 0.445624 | + | 0.895220i | \(0.352982\pi\) |
−0.998095 | + | 0.0616888i | \(0.980351\pi\) | |||||||
\(830\) | −384668. | − | 598928.i | −0.558380 | − | 0.869397i | ||||
\(831\) | −28868.8 | − | 34404.4i | −0.0418048 | − | 0.0498210i | ||||
\(832\) | −350059. | + | 256829.i | −0.505702 | + | 0.371020i | ||||
\(833\) | 215805. | + | 1.22389e6i | 0.311008 | + | 1.76382i | ||||
\(834\) | 82319.8 | + | 196685.i | 0.118351 | + | 0.282774i | ||||
\(835\) | − | 898313.i | − | 1.28841i | ||||||
\(836\) | 72751.4 | − | 292869.i | 0.104095 | − | 0.419046i | ||||
\(837\) | −68875.8 | −0.0983141 | ||||||||
\(838\) | −349884. | + | 146439.i | −0.498236 | + | 0.208530i | ||||
\(839\) | −684597. | + | 120713.i | −0.972548 | + | 0.171486i | −0.637277 | − | 0.770635i | \(-0.719939\pi\) |
−0.335271 | + | 0.942122i | \(0.608828\pi\) | |||||||
\(840\) | −2.64730e6 | − | 86282.9i | −3.75185 | − | 0.122283i | ||||
\(841\) | −519769. | + | 436138.i | −0.734883 | + | 0.616640i | ||||
\(842\) | −410282. | + | 263508.i | −0.578706 | + | 0.371681i | ||||
\(843\) | −341290. | − | 197044.i | −0.480252 | − | 0.277273i | ||||
\(844\) | −85337.8 | − | 179542.i | −0.119800 | − | 0.252047i | ||||
\(845\) | −558957. | + | 203444.i | −0.782825 | + | 0.284925i | ||||
\(846\) | −1105.19 | + | 2142.28i | −0.00154417 | + | 0.00299319i | ||||
\(847\) | −987937. | + | 570386.i | −1.37709 | + | 0.795064i | ||||
\(848\) | −120922. | + | 148500.i | −0.168157 | + | 0.206507i | ||||
\(849\) | −75415.8 | + | 427704.i | −0.104628 | + | 0.593373i | ||||
\(850\) | −403250. | − | 51578.3i | −0.558132 | − | 0.0713887i | ||||
\(851\) | −523344. | + | 623697.i | −0.722650 | + | 0.861221i | ||||
\(852\) | 1.39810e6 | − | 132705.i | 1.92601 | − | 0.182813i | ||||
\(853\) | −1.02441e6 | − | 372855.i | −1.40791 | − | 0.512439i | −0.477397 | − | 0.878688i | \(-0.658420\pi\) |
−0.930517 | + | 0.366249i | \(0.880642\pi\) | |||||||
\(854\) | 599317. | − | 553248.i | 0.821752 | − | 0.758585i | ||||
\(855\) | 470665. | − | 836231.i | 0.643842 | − | 1.14392i | ||||
\(856\) | 261521. | + | 333132.i | 0.356910 | + | 0.454642i | ||||
\(857\) | 1.22584e6 | + | 446170.i | 1.66906 | + | 0.607489i | 0.991748 | − | 0.128204i | \(-0.0409211\pi\) |
0.677315 | + | 0.735693i | \(0.263143\pi\) | |||||||
\(858\) | 168916. | − | 221823.i | 0.229454 | − | 0.301322i | ||||
\(859\) | −131704. | + | 156958.i | −0.178489 | + | 0.212715i | −0.847870 | − | 0.530205i | \(-0.822115\pi\) |
0.669381 | + | 0.742919i | \(0.266559\pi\) | |||||||
\(860\) | −22548.5 | + | 16037.5i | −0.0304874 | + | 0.0216840i | ||||
\(861\) | 514098. | − | 2.91559e6i | 0.693489 | − | 3.93297i | ||||
\(862\) | 142291. | + | 630826.i | 0.191497 | + | 0.848976i | ||||
\(863\) | −610952. | + | 352733.i | −0.820324 | + | 0.473614i | −0.850528 | − | 0.525929i | \(-0.823718\pi\) |
0.0302040 | + | 0.999544i | \(0.490384\pi\) | |||||||
\(864\) | 27390.6 | − | 37091.2i | 0.0366922 | − | 0.0496870i | ||||
\(865\) | −36499.9 | + | 13284.9i | −0.0487820 | + | 0.0177552i | ||||
\(866\) | −27117.3 | + | 87123.0i | −0.0361585 | + | 0.116171i | ||||
\(867\) | −543210. | − | 313623.i | −0.722653 | − | 0.417224i | ||||
\(868\) | −2.26845e6 | − | 589951.i | −3.01086 | − | 0.783027i | ||||
\(869\) | −190024. | + | 159449.i | −0.251633 | + | 0.211145i | ||||
\(870\) | 292868. | − | 13868.1i | 0.386931 | − | 0.0183222i | ||||
\(871\) | 154359. | − | 27217.7i | 0.203468 | − | 0.0358769i | ||||
\(872\) | 1.37812e6 | − | 451324.i | 1.81240 | − | 0.593547i | ||||
\(873\) | −689454. | −0.904642 | ||||||||
\(874\) | 925834. | + | 277085.i | 1.21202 | + | 0.362736i | ||||
\(875\) | − | 234295.i | − | 0.306018i | ||||||
\(876\) | 874055. | + | 399765.i | 1.13902 | + | 0.520951i | ||||
\(877\) | −29008.6 | − | 164516.i | −0.0377161 | − | 0.213899i | 0.960125 | − | 0.279571i | \(-0.0901921\pi\) |
−0.997841 | + | 0.0656718i | \(0.979081\pi\) | |||||||
\(878\) | −894400. | + | 42352.1i | −1.16023 | + | 0.0549397i | ||||
\(879\) | −181818. | − | 216683.i | −0.235320 | − | 0.280444i | ||||
\(880\) | 433771. | + | 150679.i | 0.560139 | + | 0.194575i | ||||
\(881\) | −304175. | + | 526846.i | −0.391896 | + | 0.678784i | −0.992700 | − | 0.120612i | \(-0.961514\pi\) |
0.600803 | + | 0.799397i | \(0.294847\pi\) | |||||||
\(882\) | 623196. | − | 2.00222e6i | 0.801102 | − | 2.57379i | ||||
\(883\) | 414018. | + | 1.13751e6i | 0.531004 | + | 1.45892i | 0.857878 | + | 0.513854i | \(0.171783\pi\) |
−0.326873 | + | 0.945068i | \(0.605995\pi\) | |||||||
\(884\) | −82777.7 | − | 300069.i | −0.105927 | − | 0.383987i | ||||
\(885\) | 3216.61 | + | 5571.33i | 0.00410688 | + | 0.00711332i | ||||
\(886\) | −53991.9 | − | 239365.i | −0.0687798 | − | 0.304925i | ||||
\(887\) | 824328. | + | 145351.i | 1.04774 | + | 0.184744i | 0.670910 | − | 0.741539i | \(-0.265904\pi\) |
0.376828 | + | 0.926283i | \(0.377015\pi\) | |||||||
\(888\) | −959032. | − | 201519.i | −1.21621 | − | 0.255558i | ||||
\(889\) | −717735. | − | 602251.i | −0.908156 | − | 0.762033i | ||||
\(890\) | 499956. | − | 656549.i | 0.631178 | − | 0.828872i | ||||
\(891\) | −122188. | + | 335709.i | −0.153912 | + | 0.422870i | ||||
\(892\) | −843046. | − | 67501.8i | −1.05955 | − | 0.0848370i | ||||
\(893\) | 989.914 | + | 2629.80i | 0.00124135 | + | 0.00329776i | ||||
\(894\) | 891407. | − | 822886.i | 1.11532 | − | 1.02959i | ||||
\(895\) | 198124. | − | 544341.i | 0.247338 | − | 0.679556i | ||||
\(896\) | 1.21982e6 | − | 987000.i | 1.51943 | − | 1.22942i | ||||
\(897\) | 683997. | + | 573942.i | 0.850099 | + | 0.713318i | ||||
\(898\) | −231761. | − | 29643.7i | −0.287400 | − | 0.0367603i | ||||
\(899\) | 255516. | + | 45054.3i | 0.316154 | + | 0.0557464i | ||||
\(900\) | 564787. | + | 389298.i | 0.697268 | + | 0.480615i | ||||
\(901\) | −68650.0 | − | 118905.i | −0.0845651 | − | 0.146471i | ||||
\(902\) | −235320. | + | 456140.i | −0.289232 | + | 0.560642i | ||||
\(903\) | −20767.1 | − | 57057.2i | −0.0254684 | − | 0.0699737i | ||||
\(904\) | 310942. | + | 124789.i | 0.380490 | + | 0.152700i | ||||
\(905\) | −316445. | + | 548099.i | −0.386368 | + | 0.669209i | ||||
\(906\) | −501397. | + | 322028.i | −0.610837 | + | 0.392317i | ||||
\(907\) | 373287. | + | 444866.i | 0.453762 | + | 0.540773i | 0.943620 | − | 0.331029i | \(-0.107396\pi\) |
−0.489858 | + | 0.871802i | \(0.662951\pi\) | |||||||
\(908\) | −495763. | − | 488510.i | −0.601315 | − | 0.592519i | ||||
\(909\) | −91588.7 | − | 519425.i | −0.110844 | − | 0.628630i | ||||
\(910\) | −1.28604e6 | + | 538253.i | −1.55300 | + | 0.649986i | ||||
\(911\) | − | 71501.6i | − | 0.0861547i | −0.999072 | − | 0.0430773i | \(-0.986284\pi\) | ||
0.999072 | − | 0.0430773i | \(-0.0137162\pi\) | |||||||
\(912\) | 231343. | + | 1.13997e6i | 0.278143 | + | 1.37057i | ||||
\(913\) | −270800. | −0.324868 | ||||||||
\(914\) | −96571.4 | − | 230736.i | −0.115600 | − | 0.276200i | ||||
\(915\) | −906090. | + | 159768.i | −1.08225 | + | 0.190830i | ||||
\(916\) | 166776. | − | 169252.i | 0.198766 | − | 0.201717i | ||||
\(917\) | 2.09963e6 | − | 1.76180e6i | 2.49692 | − | 2.09516i | ||||
\(918\) | 17864.4 | + | 27814.8i | 0.0211984 | + | 0.0330058i | ||||
\(919\) | 172059. | + | 99338.2i | 0.203726 | + | 0.117621i | 0.598392 | − | 0.801203i | \(-0.295807\pi\) |
−0.394666 | + | 0.918824i | \(0.629140\pi\) | |||||||
\(920\) | −547710. | + | 1.36476e6i | −0.647105 | + | 1.61243i | ||||
\(921\) | −1.00806e6 | + | 366904.i | −1.18841 | + | 0.432547i | ||||
\(922\) | 1.01232e6 | + | 522250.i | 1.19085 | + | 0.614351i | ||||
\(923\) | 640157. | − | 369595.i | 0.751420 | − | 0.433833i | ||||
\(924\) | −571872. | + | 829662.i | −0.669815 | + | 0.971756i | ||||
\(925\) | −116979. | + | 663419.i | −0.136717 | + | 0.775361i | ||||
\(926\) | 149601. | − | 1.16961e6i | 0.174467 | − | 1.36402i | ||||
\(927\) | 717674. | − | 855291.i | 0.835157 | − | 0.995301i | ||||
\(928\) | −125876. | + | 119684.i | −0.146167 | + | 0.138976i | ||||
\(929\) | 1.07288e6 | + | 390495.i | 1.24314 | + | 0.452465i | 0.878077 | − | 0.478520i | \(-0.158826\pi\) |
0.365059 | + | 0.930984i | \(0.381049\pi\) | |||||||
\(930\) | 1.79344e6 | + | 1.94278e6i | 2.07358 | + | 2.24625i | ||||
\(931\) | −1.24530e6 | − | 2.10339e6i | −1.43673 | − | 2.42672i | ||||
\(932\) | 10245.8 | − | 127963.i | 0.0117955 | − | 0.147317i | ||||
\(933\) | 1.69558e6 | + | 617141.i | 1.94785 | + | 0.708959i | ||||
\(934\) | 750871. | + | 571781.i | 0.860740 | + | 0.655445i | ||||
\(935\) | −211619. | + | 252198.i | −0.242065 | + | 0.288482i | ||||
\(936\) | −108006. | + | 514001.i | −0.123281 | + | 0.586695i | ||||
\(937\) | 44058.9 | − | 249871.i | 0.0501828 | − | 0.284601i | −0.949381 | − | 0.314126i | \(-0.898288\pi\) |
0.999564 | + | 0.0295254i | \(0.00939961\pi\) | |||||||
\(938\) | −552589. | + | 124644.i | −0.628053 | + | 0.141666i | ||||
\(939\) | 1.22541e6 | − | 707490.i | 1.38979 | − | 0.802397i | ||||
\(940\) | −4121.86 | + | 1137.06i | −0.00466485 | + | 0.00128685i | ||||
\(941\) | 56768.3 | − | 20662.0i | 0.0641102 | − | 0.0233342i | −0.309766 | − | 0.950813i | \(-0.600251\pi\) |
0.373876 | + | 0.927479i | \(0.378028\pi\) | |||||||
\(942\) | −447550. | − | 139302.i | −0.504359 | − | 0.156984i | ||||
\(943\) | −1.42349e6 | − | 821854.i | −1.60078 | − | 0.924211i | ||||
\(944\) | −3600.08 | − | 1250.56i | −0.00403988 | − | 0.00140333i | ||||
\(945\) | 113418. | − | 95168.8i | 0.127004 | − | 0.106569i | ||||
\(946\) | 497.906 | + | 10514.9i | 0.000556371 | + | 0.0117495i | ||||
\(947\) | 129142. | − | 22771.2i | 0.144001 | − | 0.0253913i | −0.101183 | − | 0.994868i | \(-0.532263\pi\) |
0.245184 | + | 0.969477i | \(0.421152\pi\) | |||||||
\(948\) | 397697. | − | 869533.i | 0.442523 | − | 0.967542i | ||||
\(949\) | 505890. | 0.561724 | ||||||||
\(950\) | 778037. | − | 184473.i | 0.862091 | − | 0.204402i | ||||
\(951\) | 1.29592e6i | 1.43291i | ||||||||
\(952\) | 350125. | + | 1.06911e6i | 0.386322 | + | 1.17963i | ||||
\(953\) | −78058.1 | − | 442690.i | −0.0859473 | − | 0.487432i | −0.997148 | − | 0.0754691i | \(-0.975955\pi\) |
0.911201 | − | 0.411963i | \(-0.135157\pi\) | |||||||
\(954\) | 10957.9 | + | 231410.i | 0.0120401 | + | 0.254265i | ||||
\(955\) | 435785. | + | 519348.i | 0.477821 | + | 0.569445i | ||||
\(956\) | −127706. | + | 491050.i | −0.139732 | + | 0.537292i | ||||
\(957\) | 55771.0 | − | 96598.2i | 0.0608954 | − | 0.105474i | ||||
\(958\) | 895392. | + | 278694.i | 0.975624 | + | 0.303666i | ||||
\(959\) | 261362. | + | 718087.i | 0.284188 | + | 0.780800i | ||||
\(960\) | −1.75944e6 | + | 193202.i | −1.90912 | + | 0.209638i | ||||
\(961\) | 708119. | + | 1.22650e6i | 0.766760 | + | 1.32807i | ||||
\(962\) | −503163. | + | 113495.i | −0.543699 | + | 0.122638i | ||||
\(963\) | 504562. | + | 88967.9i | 0.544079 | + | 0.0959358i | ||||
\(964\) | 174451. | + | 245275.i | 0.187724 | + | 0.263937i | ||||
\(965\) | 1.53704e6 | + | 1.28973e6i | 1.65055 | + | 1.38498i | ||||
\(966\) | −2.56736e6 | − | 1.95502e6i | −2.75127 | − | 2.09506i | ||||
\(967\) | −365950. | + | 1.00544e6i | −0.391353 | + | 1.07523i | 0.575032 | + | 0.818131i | \(0.304990\pi\) |
−0.966384 | + | 0.257101i | \(0.917233\pi\) | |||||||
\(968\) | −599631. | + | 470733.i | −0.639931 | + | 0.502370i | ||||
\(969\) | −822826. | − | 135813.i | −0.876315 | − | 0.144642i | ||||
\(970\) | −829527. | − | 898601.i | −0.881631 | − | 0.955044i | ||||
\(971\) | −416789. | + | 1.14512e6i | −0.442056 | + | 1.21454i | 0.496081 | + | 0.868276i | \(0.334772\pi\) |
−0.938137 | + | 0.346263i | \(0.887450\pi\) | |||||||
\(972\) | −124610. | − | 1.31281e6i | −0.131892 | − | 1.38954i | ||||
\(973\) | −310701. | − | 260709.i | −0.328184 | − | 0.275379i | ||||
\(974\) | −75287.9 | + | 588617.i | −0.0793611 | + | 0.620462i | ||||
\(975\) | 727559. | + | 128288.i | 0.765348 | + | 0.134952i | ||||
\(976\) | 344165. | − | 422655.i | 0.361299 | − | 0.443696i | ||||
\(977\) | −544741. | − | 943519.i | −0.570691 | − | 0.988466i | −0.996495 | − | 0.0836504i | \(-0.973342\pi\) |
0.425804 | − | 0.904815i | \(-0.359991\pi\) | |||||||
\(978\) | 1.43400e6 | + | 739793.i | 1.49924 | + | 0.773451i | ||||
\(979\) | −107376. | − | 295014.i | −0.112032 | − | 0.307806i | ||||
\(980\) | 3.35940e6 | − | 1.59675e6i | 3.49792 | − | 1.66259i | ||||
\(981\) | 877138. | − | 1.51925e6i | 0.911443 | − | 1.57867i | ||||
\(982\) | 99769.8 | + | 155341.i | 0.103461 | + | 0.161088i | ||||
\(983\) | 925576. | + | 1.10306e6i | 0.957867 | + | 1.14154i | 0.989859 | + | 0.142053i | \(0.0453703\pi\) |
−0.0319925 | + | 0.999488i | \(0.510185\pi\) | |||||||
\(984\) | 64448.2 | − | 1.97738e6i | 0.0665611 | − | 2.04220i | ||||
\(985\) | −264815. | − | 1.50184e6i | −0.272942 | − | 1.54793i | ||||
\(986\) | −48078.6 | − | 114873.i | −0.0494536 | − | 0.118158i | ||||
\(987\) | − | 9382.84i | − | 0.00963163i | ||||||
\(988\) | 360298. | + | 495006.i | 0.369103 | + | 0.507103i | ||||
\(989\) | −33711.2 | −0.0344652 | ||||||||
\(990\) | 512431. | − | 214471.i | 0.522836 | − | 0.218826i | ||||
\(991\) | −1.14263e6 | + | 201477.i | −1.16348 | + | 0.205153i | −0.721855 | − | 0.692045i | \(-0.756710\pi\) |
−0.441628 | + | 0.897198i | \(0.645599\pi\) | |||||||
\(992\) | −1.55644e6 | − | 175810.i | −1.58164 | − | 0.178657i | ||||
\(993\) | −764293. | + | 641318.i | −0.775106 | + | 0.650391i | ||||
\(994\) | −2.24780e6 | + | 1.44368e6i | −2.27502 | + | 1.46116i | ||||
\(995\) | −1.69717e6 | − | 979864.i | −1.71427 | − | 0.989736i | ||||
\(996\) | 942750. | − | 448097.i | 0.950337 | − | 0.451704i | ||||
\(997\) | 1.35192e6 | − | 492058.i | 1.36007 | − | 0.495024i | 0.443992 | − | 0.896031i | \(-0.353562\pi\) |
0.916075 | + | 0.401007i | \(0.131340\pi\) | |||||||
\(998\) | −735182. | + | 1.42506e6i | −0.738132 | + | 1.43078i | ||||
\(999\) | 47439.3 | − | 27389.1i | 0.0475343 | − | 0.0274440i |
(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.23.13 | yes | 228 | |
4.3 | odd | 2 | inner | 76.5.l.a.23.6 | ✓ | 228 | |
19.5 | even | 9 | inner | 76.5.l.a.43.6 | yes | 228 | |
76.43 | odd | 18 | inner | 76.5.l.a.43.13 | yes | 228 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.5.l.a.23.6 | ✓ | 228 | 4.3 | odd | 2 | inner | |
76.5.l.a.23.13 | yes | 228 | 1.1 | even | 1 | trivial | |
76.5.l.a.43.6 | yes | 228 | 19.5 | even | 9 | inner | |
76.5.l.a.43.13 | yes | 228 | 76.43 | odd | 18 | inner |