Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,6,Mod(2,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.2");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.f (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.29266605383\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 2.10 | ||
Character | \(\chi\) | \(=\) | 33.2 |
Dual form | 33.6.f.a.17.10 |
$q$-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 \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{1}{10}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.489986 | − | 1.50802i | 0.0866180 | − | 0.266583i | −0.898361 | − | 0.439258i | \(-0.855241\pi\) |
0.984979 | + | 0.172676i | \(0.0552412\pi\) | |||||||
\(3\) | 4.79885 | − | 14.8314i | 0.307846 | − | 0.951436i | ||||
\(4\) | 23.8545 | + | 17.3313i | 0.745453 | + | 0.541603i | ||||
\(5\) | 16.6412 | − | 5.40705i | 0.297687 | − | 0.0967242i | −0.156366 | − | 0.987699i | \(-0.549978\pi\) |
0.454052 | + | 0.890975i | \(0.349978\pi\) | |||||||
\(6\) | −20.0147 | − | 14.5039i | −0.226972 | − | 0.164478i | ||||
\(7\) | 36.5406 | − | 50.2938i | 0.281858 | − | 0.387944i | −0.644490 | − | 0.764613i | \(-0.722930\pi\) |
0.926348 | + | 0.376668i | \(0.122930\pi\) | |||||||
\(8\) | 78.8739 | − | 57.3052i | 0.435721 | − | 0.316570i | ||||
\(9\) | −196.942 | − | 142.348i | −0.810461 | − | 0.585792i | ||||
\(10\) | − | 27.7446i | − | 0.0877362i | ||||||
\(11\) | −56.2699 | − | 397.347i | −0.140215 | − | 0.990121i | ||||
\(12\) | 371.522 | − | 270.626i | 0.744786 | − | 0.542520i | ||||
\(13\) | 283.554 | + | 92.1323i | 0.465347 | + | 0.151201i | 0.532300 | − | 0.846556i | \(-0.321328\pi\) |
−0.0669529 | + | 0.997756i | \(0.521328\pi\) | |||||||
\(14\) | −57.9397 | − | 79.7472i | −0.0790053 | − | 0.108741i | ||||
\(15\) | −0.335654 | − | 272.760i | −0.000385180 | − | 0.313006i | ||||
\(16\) | 243.801 | + | 750.343i | 0.238087 | + | 0.732756i | ||||
\(17\) | 320.060 | + | 985.043i | 0.268602 | + | 0.826671i | 0.990842 | + | 0.135029i | \(0.0431126\pi\) |
−0.722240 | + | 0.691643i | \(0.756887\pi\) | |||||||
\(18\) | −311.162 | + | 227.244i | −0.226363 | + | 0.165315i | ||||
\(19\) | −821.679 | − | 1130.94i | −0.522177 | − | 0.718715i | 0.463736 | − | 0.885974i | \(-0.346509\pi\) |
−0.985913 | + | 0.167258i | \(0.946509\pi\) | |||||||
\(20\) | 490.678 | + | 159.431i | 0.274298 | + | 0.0891247i | ||||
\(21\) | −570.575 | − | 783.301i | −0.282335 | − | 0.387597i | ||||
\(22\) | −626.779 | − | 109.838i | −0.276095 | − | 0.0483834i | ||||
\(23\) | 3741.39i | 1.47473i | 0.675494 | + | 0.737366i | \(0.263931\pi\) | ||||
−0.675494 | + | 0.737366i | \(0.736069\pi\) | |||||||
\(24\) | −471.414 | − | 1444.81i | −0.167061 | − | 0.512015i | ||||
\(25\) | −2280.49 | + | 1656.87i | −0.729755 | + | 0.530198i | ||||
\(26\) | 277.875 | − | 382.462i | 0.0806150 | − | 0.110957i | ||||
\(27\) | −3056.31 | + | 2237.83i | −0.806842 | + | 0.590768i | ||||
\(28\) | 1743.31 | − | 566.437i | 0.420224 | − | 0.136539i | ||||
\(29\) | 5353.85 | + | 3889.80i | 1.18215 | + | 0.858880i | 0.992412 | − | 0.122955i | \(-0.0392371\pi\) |
0.189735 | + | 0.981835i | \(0.439237\pi\) | |||||||
\(30\) | −411.492 | − | 133.142i | −0.0834754 | − | 0.0270093i | ||||
\(31\) | −153.897 | + | 473.647i | −0.0287625 | + | 0.0885218i | −0.964407 | − | 0.264421i | \(-0.914819\pi\) |
0.935645 | + | 0.352943i | \(0.114819\pi\) | |||||||
\(32\) | 4370.78 | 0.754544 | ||||||||
\(33\) | −6163.25 | − | 1072.25i | −0.985202 | − | 0.171400i | ||||
\(34\) | 1642.29 | 0.243642 | ||||||||
\(35\) | 336.137 | − | 1034.52i | 0.0463817 | − | 0.142748i | ||||
\(36\) | −2230.89 | − | 6808.89i | −0.286894 | − | 0.875629i | ||||
\(37\) | 219.834 | + | 159.719i | 0.0263992 | + | 0.0191802i | 0.600907 | − | 0.799319i | \(-0.294806\pi\) |
−0.574507 | + | 0.818499i | \(0.694806\pi\) | |||||||
\(38\) | −2108.10 | + | 684.962i | −0.236827 | + | 0.0769498i | ||||
\(39\) | 2727.19 | − | 3763.38i | 0.287113 | − | 0.396202i | ||||
\(40\) | 1002.70 | − | 1380.10i | 0.0990883 | − | 0.136383i | ||||
\(41\) | −3713.69 | + | 2698.16i | −0.345022 | + | 0.250673i | −0.746778 | − | 0.665074i | \(-0.768400\pi\) |
0.401756 | + | 0.915747i | \(0.368400\pi\) | |||||||
\(42\) | −1460.81 | + | 476.633i | −0.127782 | + | 0.0416928i | ||||
\(43\) | − | 14178.6i | − | 1.16939i | −0.811252 | − | 0.584697i | \(-0.801213\pi\) | ||
0.811252 | − | 0.584697i | \(-0.198787\pi\) | |||||||
\(44\) | 5544.25 | − | 10453.7i | 0.431729 | − | 0.814030i | ||||
\(45\) | −4047.03 | − | 1303.96i | −0.297924 | − | 0.0959913i | ||||
\(46\) | 5642.09 | + | 1833.23i | 0.393138 | + | 0.127738i | ||||
\(47\) | −2154.98 | − | 2966.08i | −0.142298 | − | 0.195857i | 0.731919 | − | 0.681391i | \(-0.238625\pi\) |
−0.874217 | + | 0.485535i | \(0.838625\pi\) | |||||||
\(48\) | 12298.6 | − | 15.1345i | 0.770465 | − | 0.000948122i | ||||
\(49\) | 3999.40 | + | 12308.9i | 0.237960 | + | 0.732366i | ||||
\(50\) | 1381.19 | + | 4250.86i | 0.0781318 | + | 0.240465i | ||||
\(51\) | 16145.5 | − | 19.8684i | 0.869213 | − | 0.00106964i | ||||
\(52\) | 5167.27 | + | 7112.13i | 0.265004 | + | 0.364747i | ||||
\(53\) | −12551.7 | − | 4078.31i | −0.613782 | − | 0.199430i | −0.0144044 | − | 0.999896i | \(-0.504585\pi\) |
−0.599378 | + | 0.800466i | \(0.704585\pi\) | |||||||
\(54\) | 1877.14 | + | 5705.48i | 0.0876016 | + | 0.266261i | ||||
\(55\) | −3084.87 | − | 6308.07i | −0.137509 | − | 0.281183i | ||||
\(56\) | − | 6060.83i | − | 0.258263i | ||||||
\(57\) | −20716.6 | + | 6759.43i | −0.844562 | + | 0.275564i | ||||
\(58\) | 8489.21 | − | 6167.78i | 0.331358 | − | 0.240746i | ||||
\(59\) | −5225.12 | + | 7191.76i | −0.195419 | + | 0.268971i | −0.895470 | − | 0.445122i | \(-0.853160\pi\) |
0.700051 | + | 0.714093i | \(0.253160\pi\) | |||||||
\(60\) | 4719.28 | − | 6512.37i | 0.169238 | − | 0.233540i | ||||
\(61\) | −22984.9 | + | 7468.24i | −0.790893 | + | 0.256977i | −0.676484 | − | 0.736457i | \(-0.736497\pi\) |
−0.114409 | + | 0.993434i | \(0.536497\pi\) | |||||||
\(62\) | 638.862 | + | 464.160i | 0.0211071 | + | 0.0153352i | ||||
\(63\) | −14355.6 | + | 4703.50i | −0.455690 | + | 0.149303i | ||||
\(64\) | −5660.01 | + | 17419.7i | −0.172730 | + | 0.531608i | ||||
\(65\) | 5216.84 | 0.153152 | ||||||||
\(66\) | −4636.87 | + | 8768.93i | −0.131028 | + | 0.247792i | ||||
\(67\) | −53935.1 | −1.46786 | −0.733929 | − | 0.679226i | \(-0.762316\pi\) | ||||
−0.733929 | + | 0.679226i | \(0.762316\pi\) | |||||||
\(68\) | −9437.22 | + | 29044.8i | −0.247498 | + | 0.761720i | ||||
\(69\) | 55490.1 | + | 17954.4i | 1.40311 | + | 0.453991i | ||||
\(70\) | −1395.38 | − | 1013.80i | −0.0340367 | − | 0.0247291i | ||||
\(71\) | 9422.92 | − | 3061.69i | 0.221840 | − | 0.0720802i | −0.195988 | − | 0.980606i | \(-0.562791\pi\) |
0.417828 | + | 0.908526i | \(0.362791\pi\) | |||||||
\(72\) | −23690.9 | + | 58.3073i | −0.538579 | + | 0.00132554i | ||||
\(73\) | 3525.13 | − | 4851.93i | 0.0774226 | − | 0.106563i | −0.768549 | − | 0.639791i | \(-0.779021\pi\) |
0.845972 | + | 0.533228i | \(0.179021\pi\) | |||||||
\(74\) | 348.575 | − | 253.255i | 0.00739975 | − | 0.00537623i | ||||
\(75\) | 13630.0 | + | 41773.9i | 0.279797 | + | 0.857535i | ||||
\(76\) | − | 41218.9i | − | 0.818582i | ||||||
\(77\) | −22040.2 | − | 11689.3i | −0.423632 | − | 0.224678i | ||||
\(78\) | −4338.97 | − | 5956.65i | −0.0807514 | − | 0.110858i | ||||
\(79\) | 93972.6 | + | 30533.5i | 1.69408 | + | 0.550439i | 0.987558 | − | 0.157254i | \(-0.0502640\pi\) |
0.706520 | + | 0.707693i | \(0.250264\pi\) | |||||||
\(80\) | 8114.28 | + | 11168.3i | 0.141751 | + | 0.195103i | ||||
\(81\) | 18523.4 | + | 56068.4i | 0.313695 | + | 0.949524i | ||||
\(82\) | 2249.22 | + | 6922.39i | 0.0369400 | + | 0.113690i | ||||
\(83\) | −35722.1 | − | 109941.i | −0.569170 | − | 1.75173i | −0.655224 | − | 0.755435i | \(-0.727426\pi\) |
0.0860541 | − | 0.996290i | \(-0.472574\pi\) | |||||||
\(84\) | −35.1628 | − | 28574.1i | −0.000543733 | − | 0.441849i | ||||
\(85\) | 10652.3 | + | 14661.7i | 0.159918 | + | 0.220109i | ||||
\(86\) | −21381.6 | − | 6947.29i | −0.311741 | − | 0.101291i | ||||
\(87\) | 83383.6 | − | 60738.7i | 1.18109 | − | 0.860334i | ||||
\(88\) | −27208.3 | − | 28115.8i | −0.374537 | − | 0.387029i | ||||
\(89\) | − | 113660.i | − | 1.52102i | −0.649328 | − | 0.760509i | \(-0.724950\pi\) | ||
0.649328 | − | 0.760509i | \(-0.275050\pi\) | |||||||
\(90\) | −3949.38 | + | 5464.08i | −0.0513952 | + | 0.0711068i | ||||
\(91\) | 14994.9 | − | 10894.4i | 0.189819 | − | 0.137912i | ||||
\(92\) | −64843.1 | + | 89248.9i | −0.798720 | + | 1.09934i | ||||
\(93\) | 6286.33 | + | 4555.47i | 0.0753684 | + | 0.0546168i | ||||
\(94\) | −5528.82 | + | 1796.42i | −0.0645376 | + | 0.0209695i | ||||
\(95\) | −19788.8 | − | 14377.4i | −0.224962 | − | 0.163445i | ||||
\(96\) | 20974.7 | − | 64824.9i | 0.232284 | − | 0.717900i | ||||
\(97\) | 5216.46 | − | 16054.6i | 0.0562920 | − | 0.173249i | −0.918957 | − | 0.394357i | \(-0.870967\pi\) |
0.975249 | + | 0.221108i | \(0.0709674\pi\) | |||||||
\(98\) | 20521.7 | 0.215848 | ||||||||
\(99\) | −45479.5 | + | 86264.2i | −0.466366 | + | 0.884592i | ||||
\(100\) | −83115.6 | −0.831156 | ||||||||
\(101\) | −13585.4 | + | 41811.5i | −0.132516 | + | 0.407842i | −0.995195 | − | 0.0979089i | \(-0.968785\pi\) |
0.862679 | + | 0.505751i | \(0.168785\pi\) | |||||||
\(102\) | 7881.10 | − | 24357.5i | 0.0750044 | − | 0.231810i | ||||
\(103\) | 111288. | + | 80855.6i | 1.03361 | + | 0.750960i | 0.969028 | − | 0.246952i | \(-0.0794290\pi\) |
0.0645807 | + | 0.997912i | \(0.479429\pi\) | |||||||
\(104\) | 27644.7 | − | 8982.30i | 0.250627 | − | 0.0814337i | ||||
\(105\) | −13730.4 | − | 9949.92i | −0.121537 | − | 0.0880737i | ||||
\(106\) | −12300.3 | + | 16930.0i | −0.106329 | + | 0.146350i | ||||
\(107\) | 85504.2 | − | 62122.4i | 0.721985 | − | 0.524553i | −0.165033 | − | 0.986288i | \(-0.552773\pi\) |
0.887018 | + | 0.461736i | \(0.152773\pi\) | |||||||
\(108\) | −111691. | + | 412.338i | −0.921425 | + | 0.00340169i | ||||
\(109\) | − | 203698.i | − | 1.64218i | −0.570799 | − | 0.821090i | \(-0.693366\pi\) | ||
0.570799 | − | 0.821090i | \(-0.306634\pi\) | |||||||
\(110\) | −11024.2 | + | 1561.19i | −0.0868695 | + | 0.0123019i | ||||
\(111\) | 3423.81 | − | 2493.99i | 0.0263756 | − | 0.0192126i | ||||
\(112\) | 46646.2 | + | 15156.3i | 0.351375 | + | 0.114169i | ||||
\(113\) | 44187.0 | + | 60818.1i | 0.325535 | + | 0.448061i | 0.940147 | − | 0.340769i | \(-0.110687\pi\) |
−0.614612 | + | 0.788830i | \(0.710687\pi\) | |||||||
\(114\) | 42.5205 | + | 34553.1i | 0.000306434 | + | 0.249015i | ||||
\(115\) | 20229.9 | + | 62261.1i | 0.142642 | + | 0.439008i | ||||
\(116\) | 60298.2 | + | 185579.i | 0.416063 | + | 1.28051i | ||||
\(117\) | −42728.9 | − | 58507.9i | −0.288574 | − | 0.395139i | ||||
\(118\) | 8285.09 | + | 11403.5i | 0.0547763 | + | 0.0753930i | ||||
\(119\) | 61236.7 | + | 19897.0i | 0.396410 | + | 0.128801i | ||||
\(120\) | −15657.1 | − | 21494.4i | −0.0992560 | − | 0.136261i | ||||
\(121\) | −154718. | + | 44717.4i | −0.960679 | + | 0.277660i | ||||
\(122\) | 38321.0i | 0.233097i | ||||||||
\(123\) | 22196.0 | + | 68027.4i | 0.132286 | + | 0.405435i | ||||
\(124\) | −11880.1 | + | 8631.37i | −0.0693848 | + | 0.0504110i | ||||
\(125\) | −61131.2 | + | 84139.9i | −0.349936 | + | 0.481645i | ||||
\(126\) | 58.9528 | + | 23953.1i | 0.000330810 | + | 0.134411i | ||||
\(127\) | −194474. | + | 63188.4i | −1.06992 | + | 0.347639i | −0.790457 | − | 0.612517i | \(-0.790157\pi\) |
−0.279464 | + | 0.960156i | \(0.590157\pi\) | |||||||
\(128\) | 136649. | + | 99281.5i | 0.737195 | + | 0.535603i | ||||
\(129\) | −210288. | − | 68040.8i | −1.11260 | − | 0.359994i | ||||
\(130\) | 2556.17 | − | 7867.10i | 0.0132658 | − | 0.0408278i | ||||
\(131\) | 357684. | 1.82105 | 0.910523 | − | 0.413459i | \(-0.135680\pi\) | ||||
0.910523 | + | 0.413459i | \(0.135680\pi\) | |||||||
\(132\) | −128438. | − | 132395.i | −0.641591 | − | 0.661359i | ||||
\(133\) | −86904.0 | −0.426001 | ||||||||
\(134\) | −26427.4 | + | 81335.2i | −0.127143 | + | 0.391306i | ||||
\(135\) | −38760.6 | + | 53765.7i | −0.183044 | + | 0.253905i | ||||
\(136\) | 81692.5 | + | 59353.1i | 0.378735 | + | 0.275167i | ||||
\(137\) | −342772. | + | 111373.i | −1.56029 | + | 0.506967i | −0.956884 | − | 0.290471i | \(-0.906188\pi\) |
−0.603401 | + | 0.797438i | \(0.706188\pi\) | |||||||
\(138\) | 54264.9 | − | 74882.8i | 0.242561 | − | 0.334722i | ||||
\(139\) | 94716.6 | − | 130366.i | 0.415805 | − | 0.572306i | −0.548818 | − | 0.835942i | \(-0.684922\pi\) |
0.964622 | + | 0.263636i | \(0.0849219\pi\) | |||||||
\(140\) | 25948.1 | − | 18852.4i | 0.111888 | − | 0.0812916i | ||||
\(141\) | −54332.6 | + | 17727.7i | −0.230151 | + | 0.0750938i | ||||
\(142\) | − | 15710.1i | − | 0.0653822i | ||||||
\(143\) | 20652.9 | − | 117854.i | 0.0844581 | − | 0.481951i | ||||
\(144\) | 58794.7 | − | 182479.i | 0.236283 | − | 0.733340i | ||||
\(145\) | 110127. | + | 35782.4i | 0.434984 | + | 0.141335i | ||||
\(146\) | −5589.54 | − | 7693.34i | −0.0217017 | − | 0.0298698i | ||||
\(147\) | 201751. | − | 248.271i | 0.770055 | − | 0.000947618i | ||||
\(148\) | 2475.90 | + | 7620.03i | 0.00929134 | + | 0.0285958i | ||||
\(149\) | −97292.1 | − | 299434.i | −0.359014 | − | 1.10493i | −0.953645 | − | 0.300934i | \(-0.902702\pi\) |
0.594631 | − | 0.803999i | \(-0.297298\pi\) | |||||||
\(150\) | 69674.4 | − | 85.7403i | 0.252840 | − | 0.000311141i | ||||
\(151\) | 97304.5 | + | 133928.i | 0.347289 | + | 0.478002i | 0.946552 | − | 0.322550i | \(-0.104540\pi\) |
−0.599264 | + | 0.800552i | \(0.704540\pi\) | |||||||
\(152\) | −129618. | − | 42115.4i | −0.455047 | − | 0.147854i | ||||
\(153\) | 77185.2 | − | 239556.i | 0.266566 | − | 0.827330i | ||||
\(154\) | −28427.0 | + | 27509.5i | −0.0965895 | + | 0.0934720i | ||||
\(155\) | 8714.17i | 0.0291338i | ||||||||
\(156\) | 130280. | − | 42507.8i | 0.428614 | − | 0.139848i | ||||
\(157\) | 337940. | − | 245528.i | 1.09419 | − | 0.794972i | 0.114084 | − | 0.993471i | \(-0.463607\pi\) |
0.980101 | + | 0.198499i | \(0.0636066\pi\) | |||||||
\(158\) | 92090.4 | − | 126752.i | 0.293475 | − | 0.403934i | ||||
\(159\) | −120721. | + | 166589.i | −0.378695 | + | 0.522581i | ||||
\(160\) | 72735.0 | − | 23633.0i | 0.224617 | − | 0.0729826i | ||||
\(161\) | 188168. | + | 136712.i | 0.572113 | + | 0.415665i | ||||
\(162\) | 93628.5 | − | 460.875i | 0.280298 | − | 0.00137973i | ||||
\(163\) | −113929. | + | 350638.i | −0.335866 | + | 1.03369i | 0.630429 | + | 0.776247i | \(0.282879\pi\) |
−0.966294 | + | 0.257441i | \(0.917121\pi\) | |||||||
\(164\) | −135351. | −0.392963 | ||||||||
\(165\) | −108361. | + | 15481.6i | −0.309860 | + | 0.0442695i | ||||
\(166\) | −183297. | −0.516280 | ||||||||
\(167\) | 115290. | − | 354827.i | 0.319891 | − | 0.984523i | −0.653803 | − | 0.756664i | \(-0.726828\pi\) |
0.973694 | − | 0.227858i | \(-0.0731724\pi\) | |||||||
\(168\) | −89890.8 | − | 29085.0i | −0.245721 | − | 0.0795053i | ||||
\(169\) | −228468. | − | 165992.i | −0.615330 | − | 0.447064i | ||||
\(170\) | 27329.6 | − | 8879.94i | 0.0725290 | − | 0.0235661i | ||||
\(171\) | 836.046 | + | 339694.i | 0.00218645 | + | 0.888379i | ||||
\(172\) | 245733. | − | 338223.i | 0.633348 | − | 0.871729i | ||||
\(173\) | −434553. | + | 315721.i | −1.10389 | + | 0.802026i | −0.981691 | − | 0.190479i | \(-0.938996\pi\) |
−0.122203 | + | 0.992505i | \(0.538996\pi\) | |||||||
\(174\) | −50738.4 | − | 155505.i | −0.127047 | − | 0.389379i | ||||
\(175\) | 175237.i | 0.432545i | ||||||||
\(176\) | 284428. | − | 139095.i | 0.692134 | − | 0.338478i | ||||
\(177\) | 81589.5 | + | 112008.i | 0.195750 | + | 0.268730i | ||||
\(178\) | −171402. | − | 55692.0i | −0.405477 | − | 0.131748i | ||||
\(179\) | −38232.3 | − | 52622.3i | −0.0891863 | − | 0.122754i | 0.762092 | − | 0.647468i | \(-0.224172\pi\) |
−0.851279 | + | 0.524714i | \(0.824172\pi\) | |||||||
\(180\) | −73940.6 | − | 101246.i | −0.170099 | − | 0.232913i | ||||
\(181\) | −122804. | − | 377951.i | −0.278622 | − | 0.857509i | −0.988238 | − | 0.152921i | \(-0.951132\pi\) |
0.709617 | − | 0.704588i | \(-0.248868\pi\) | |||||||
\(182\) | −9081.74 | − | 27950.7i | −0.0203231 | − | 0.0625482i | ||||
\(183\) | 463.607 | + | 376737.i | 0.00102335 | + | 0.831593i | ||||
\(184\) | 214401. | + | 295098.i | 0.466855 | + | 0.642571i | ||||
\(185\) | 4521.91 | + | 1469.26i | 0.00971388 | + | 0.00315623i | ||||
\(186\) | 9949.96 | − | 7247.79i | 0.0210882 | − | 0.0153611i | ||||
\(187\) | 373394. | − | 182603.i | 0.780843 | − | 0.381860i | ||||
\(188\) | − | 108103.i | − | 0.223071i | ||||||
\(189\) | 869.356 | + | 235485.i | 0.00177028 | + | 0.479522i | ||||
\(190\) | −31377.6 | + | 22797.2i | −0.0630574 | + | 0.0458139i | ||||
\(191\) | −183963. | + | 253204.i | −0.364878 | + | 0.502212i | −0.951500 | − | 0.307649i | \(-0.900458\pi\) |
0.586621 | + | 0.809861i | \(0.300458\pi\) | |||||||
\(192\) | 231198. | + | 167541.i | 0.452617 | + | 0.327995i | ||||
\(193\) | −429280. | + | 139482.i | −0.829559 | + | 0.269540i | −0.692860 | − | 0.721072i | \(-0.743649\pi\) |
−0.136699 | + | 0.990613i | \(0.543649\pi\) | |||||||
\(194\) | −21654.7 | − | 15733.1i | −0.0413093 | − | 0.0300130i | ||||
\(195\) | 25034.8 | − | 77373.1i | 0.0471474 | − | 0.145715i | ||||
\(196\) | −117925. | + | 362937.i | −0.219264 | + | 0.674825i | ||||
\(197\) | −404242. | −0.742123 | −0.371062 | − | 0.928608i | \(-0.621006\pi\) | ||||
−0.371062 | + | 0.928608i | \(0.621006\pi\) | |||||||
\(198\) | 107804. | + | 110852.i | 0.195421 | + | 0.200947i | ||||
\(199\) | −293738. | −0.525808 | −0.262904 | − | 0.964822i | \(-0.584680\pi\) | ||||
−0.262904 | + | 0.964822i | \(0.584680\pi\) | |||||||
\(200\) | −84923.5 | + | 261368.i | −0.150125 | + | 0.462037i | ||||
\(201\) | −258826. | + | 799934.i | −0.451875 | + | 1.39657i | ||||
\(202\) | 56396.0 | + | 40974.1i | 0.0972455 | + | 0.0706530i | ||||
\(203\) | 391266. | − | 127130.i | 0.666395 | − | 0.216525i | ||||
\(204\) | 385487. | + | 279349.i | 0.648537 | + | 0.469971i | ||||
\(205\) | −47211.2 | + | 64980.7i | −0.0784622 | + | 0.107994i | ||||
\(206\) | 176462. | − | 128207.i | 0.289722 | − | 0.210496i | ||||
\(207\) | 532577. | − | 736836.i | 0.863886 | − | 1.19521i | ||||
\(208\) | 235225.i | 0.376985i | ||||||||
\(209\) | −403141. | + | 390130.i | −0.638398 | + | 0.617794i | ||||
\(210\) | −21732.4 | + | 15830.4i | −0.0340063 | + | 0.0247710i | ||||
\(211\) | −298266. | − | 96912.5i | −0.461209 | − | 0.149856i | 0.0691910 | − | 0.997603i | \(-0.477958\pi\) |
−0.530400 | + | 0.847748i | \(0.677958\pi\) | |||||||
\(212\) | −228733. | − | 314824.i | −0.349534 | − | 0.481092i | ||||
\(213\) | −190.061 | − | 154448.i | −0.000287041 | − | 0.233256i | ||||
\(214\) | −51786.1 | − | 159381.i | −0.0772998 | − | 0.237904i | ||||
\(215\) | −76664.1 | − | 235948.i | −0.113109 | − | 0.348113i | ||||
\(216\) | −112824. | + | 351649.i | −0.164538 | + | 0.512832i | ||||
\(217\) | 18198.0 | + | 25047.4i | 0.0262346 | + | 0.0361088i | ||||
\(218\) | −307181. | − | 99809.1i | −0.437777 | − | 0.142242i | ||||
\(219\) | −55044.4 | − | 75566.4i | −0.0775537 | − | 0.106468i | ||||
\(220\) | 35739.0 | − | 203941.i | 0.0497836 | − | 0.284084i | ||||
\(221\) | 308801.i | 0.425302i | ||||||||
\(222\) | −2083.37 | − | 6385.19i | −0.00283716 | − | 0.00869544i | ||||
\(223\) | 577181. | − | 419346.i | 0.777230 | − | 0.564691i | −0.126916 | − | 0.991913i | \(-0.540508\pi\) |
0.904146 | + | 0.427223i | \(0.140508\pi\) | |||||||
\(224\) | 159711. | − | 219823.i | 0.212674 | − | 0.292721i | ||||
\(225\) | 684975. | − | 1685.84i | 0.902024 | − | 0.00222004i | ||||
\(226\) | 113366. | − | 36834.8i | 0.147643 | − | 0.0479720i | ||||
\(227\) | −914088. | − | 664124.i | −1.17740 | − | 0.855430i | −0.185523 | − | 0.982640i | \(-0.559398\pi\) |
−0.991876 | + | 0.127210i | \(0.959398\pi\) | |||||||
\(228\) | −611334. | − | 197803.i | −0.778828 | − | 0.251997i | ||||
\(229\) | 17777.3 | − | 54713.0i | 0.0224015 | − | 0.0689448i | −0.939231 | − | 0.343286i | \(-0.888460\pi\) |
0.961632 | + | 0.274342i | \(0.0884599\pi\) | |||||||
\(230\) | 103803. | 0.129387 | ||||||||
\(231\) | −279136. | + | 270793.i | −0.344180 | + | 0.333893i | ||||
\(232\) | 645186. | 0.786982 | ||||||||
\(233\) | 111987. | − | 344662.i | 0.135139 | − | 0.415914i | −0.860473 | − | 0.509496i | \(-0.829832\pi\) |
0.995612 | + | 0.0935822i | \(0.0298318\pi\) | |||||||
\(234\) | −109168. | + | 35768.0i | −0.130333 | + | 0.0427027i | ||||
\(235\) | −51899.2 | − | 37707.0i | −0.0613043 | − | 0.0445402i | ||||
\(236\) | −249285. | + | 80997.7i | −0.291351 | + | 0.0946657i | ||||
\(237\) | 903816. | − | 1.24722e6i | 1.04522 | − | 1.44236i | ||||
\(238\) | 60010.2 | − | 82597.0i | 0.0686725 | − | 0.0945195i | ||||
\(239\) | 1.05823e6 | − | 768852.i | 1.19836 | − | 0.870658i | 0.204236 | − | 0.978922i | \(-0.434529\pi\) |
0.994122 | + | 0.108263i | \(0.0345290\pi\) | |||||||
\(240\) | 204582. | − | 66751.0i | 0.229265 | − | 0.0748049i | ||||
\(241\) | 1.51255e6i | 1.67751i | 0.544507 | + | 0.838756i | \(0.316717\pi\) | ||||
−0.544507 | + | 0.838756i | \(0.683283\pi\) | |||||||
\(242\) | −8375.06 | + | 255229.i | −0.00919283 | + | 0.280151i | ||||
\(243\) | 920465. | − | 5663.62i | 0.999981 | − | 0.00615288i | ||||
\(244\) | −677727. | − | 220207.i | −0.728753 | − | 0.236786i | ||||
\(245\) | 133109. | + | 183209.i | 0.141675 | + | 0.194999i | ||||
\(246\) | 113463. | − | 139.625i | 0.119540 | − | 0.000147105i | ||||
\(247\) | −128794. | − | 396387.i | −0.134324 | − | 0.413406i | ||||
\(248\) | 15004.0 | + | 46177.5i | 0.0154909 | + | 0.0476762i | ||||
\(249\) | −1.80201e6 | + | 2217.53i | −1.84187 | + | 0.00226658i | ||||
\(250\) | 96931.3 | + | 133415.i | 0.0980876 | + | 0.135006i | ||||
\(251\) | 1.72856e6 | + | 561644.i | 1.73181 | + | 0.562700i | 0.993710 | − | 0.111988i | \(-0.0357219\pi\) |
0.738103 | + | 0.674688i | \(0.235722\pi\) | |||||||
\(252\) | −423963. | − | 136601.i | −0.420559 | − | 0.135504i | ||||
\(253\) | 1.48663e6 | − | 210528.i | 1.46016 | − | 0.206780i | ||||
\(254\) | 324232.i | 0.315335i | ||||||||
\(255\) | 268573. | − | 87630.1i | 0.258649 | − | 0.0843923i | ||||
\(256\) | −257505. | + | 187088.i | −0.245576 | + | 0.178421i | ||||
\(257\) | 905.081 | − | 1245.74i | 0.000854781 | − | 0.00117650i | −0.808589 | − | 0.588373i | \(-0.799769\pi\) |
0.809444 | + | 0.587197i | \(0.199769\pi\) | |||||||
\(258\) | −205645. | + | 283780.i | −0.192340 | + | 0.265419i | ||||
\(259\) | 16065.7 | − | 5220.07i | 0.0148817 | − | 0.00483534i | ||||
\(260\) | 124445. | + | 90414.6i | 0.114168 | + | 0.0829479i | ||||
\(261\) | −500695. | − | 1.52817e6i | −0.454959 | − | 1.38858i | ||||
\(262\) | 175260. | − | 539394.i | 0.157735 | − | 0.485460i | ||||
\(263\) | −1.49553e6 | −1.33324 | −0.666618 | − | 0.745399i | \(-0.732259\pi\) | ||||
−0.666618 | + | 0.745399i | \(0.732259\pi\) | |||||||
\(264\) | −547565. | + | 268614.i | −0.483533 | + | 0.237203i | ||||
\(265\) | −230927. | −0.202004 | ||||||||
\(266\) | −42581.7 | + | 131053.i | −0.0368994 | + | 0.113565i | ||||
\(267\) | −1.68575e6 | − | 545439.i | −1.44715 | − | 0.468240i | ||||
\(268\) | −1.28659e6 | − | 934766.i | −1.09422 | − | 0.794997i | ||||
\(269\) | 1.14371e6 | − | 371613.i | 0.963683 | − | 0.313119i | 0.215420 | − | 0.976522i | \(-0.430888\pi\) |
0.748263 | + | 0.663402i | \(0.230888\pi\) | |||||||
\(270\) | 62087.6 | + | 84796.2i | 0.0518317 | + | 0.0707892i | ||||
\(271\) | −485938. | + | 668837.i | −0.401937 | + | 0.553219i | −0.961229 | − | 0.275752i | \(-0.911073\pi\) |
0.559292 | + | 0.828971i | \(0.311073\pi\) | |||||||
\(272\) | −661089. | + | 480309.i | −0.541798 | + | 0.393639i | ||||
\(273\) | −89621.6 | − | 274676.i | −0.0727790 | − | 0.223056i | ||||
\(274\) | 571479.i | 0.459858i | ||||||||
\(275\) | 786675. | + | 812912.i | 0.627283 | + | 0.648204i | ||||
\(276\) | 1.01252e6 | + | 1.39001e6i | 0.800072 | + | 1.09836i | ||||
\(277\) | −469980. | − | 152706.i | −0.368027 | − | 0.119579i | 0.119164 | − | 0.992875i | \(-0.461979\pi\) |
−0.487191 | + | 0.873295i | \(0.661979\pi\) | |||||||
\(278\) | −150185. | − | 206712.i | −0.116551 | − | 0.160418i | ||||
\(279\) | 97731.3 | − | 71374.1i | 0.0751663 | − | 0.0548947i | ||||
\(280\) | −32771.2 | − | 100859.i | −0.0249803 | − | 0.0768814i | ||||
\(281\) | 643997. | + | 1.98202e6i | 0.486539 | + | 1.49741i | 0.829739 | + | 0.558151i | \(0.188489\pi\) |
−0.343200 | + | 0.939262i | \(0.611511\pi\) | |||||||
\(282\) | 111.517 | + | 90621.0i | 8.35059e−5 | + | 0.0678588i | ||||
\(283\) | 563716. | + | 775888.i | 0.418402 | + | 0.575881i | 0.965243 | − | 0.261356i | \(-0.0841695\pi\) |
−0.546840 | + | 0.837237i | \(0.684170\pi\) | |||||||
\(284\) | 277842. | + | 90276.4i | 0.204410 | + | 0.0664169i | ||||
\(285\) | −308200. | + | 224501.i | −0.224761 | + | 0.163721i | ||||
\(286\) | −167606. | − | 88891.6i | −0.121164 | − | 0.0642607i | ||||
\(287\) | 285368.i | 0.204503i | ||||||||
\(288\) | −860791. | − | 622170.i | −0.611528 | − | 0.442006i | ||||
\(289\) | 280817. | − | 204026.i | 0.197779 | − | 0.143695i | ||||
\(290\) | 107921. | − | 148541.i | 0.0753549 | − | 0.103717i | ||||
\(291\) | −213080. | − | 154411.i | −0.147506 | − | 0.106892i | ||||
\(292\) | 168180. | − | 54645.1i | 0.115430 | − | 0.0375055i | ||||
\(293\) | 810050. | + | 588536.i | 0.551243 | + | 0.400501i | 0.828243 | − | 0.560368i | \(-0.189340\pi\) |
−0.277001 | + | 0.960870i | \(0.589340\pi\) | |||||||
\(294\) | 98480.5 | − | 304366.i | 0.0664480 | − | 0.205366i | ||||
\(295\) | −48066.0 | + | 147932.i | −0.0321575 | + | 0.0989707i | ||||
\(296\) | 26491.9 | 0.0175745 | ||||||||
\(297\) | 1.06117e6 | + | 1.08849e6i | 0.698063 | + | 0.716036i | ||||
\(298\) | −499225. | −0.325653 | ||||||||
\(299\) | −344702. | + | 1.06088e6i | −0.222980 | + | 0.686262i | ||||
\(300\) | −398859. | + | 1.23272e6i | −0.255868 | + | 0.790791i | ||||
\(301\) | −713093. | − | 518093.i | −0.453660 | − | 0.329603i | ||||
\(302\) | 249644. | − | 81114.3i | 0.157509 | − | 0.0511776i | ||||
\(303\) | 554930. | + | 402138.i | 0.347241 | + | 0.251633i | ||||
\(304\) | 648269. | − | 892266.i | 0.402320 | − | 0.553746i | ||||
\(305\) | −342114. | + | 248561.i | −0.210582 | + | 0.152997i | ||||
\(306\) | −323436. | − | 233776.i | −0.197463 | − | 0.142724i | ||||
\(307\) | 1.39135e6i | 0.842541i | 0.906935 | + | 0.421271i | \(0.138416\pi\) | ||||
−0.906935 | + | 0.421271i | \(0.861584\pi\) | |||||||
\(308\) | −323168. | − | 660827.i | −0.194112 | − | 0.396928i | ||||
\(309\) | 1.73326e6 | − | 1.26255e6i | 1.03268 | − | 0.752232i | ||||
\(310\) | 13141.2 | + | 4269.82i | 0.00776657 | + | 0.00252351i | ||||
\(311\) | −64585.2 | − | 88893.9i | −0.0378645 | − | 0.0521160i | 0.789665 | − | 0.613538i | \(-0.210254\pi\) |
−0.827529 | + | 0.561422i | \(0.810254\pi\) | |||||||
\(312\) | −557.595 | − | 453114.i | −0.000324289 | − | 0.263525i | ||||
\(313\) | −639008. | − | 1.96666e6i | −0.368676 | − | 1.13467i | −0.947647 | − | 0.319321i | \(-0.896545\pi\) |
0.578970 | − | 0.815349i | \(-0.303455\pi\) | |||||||
\(314\) | −204675. | − | 629926.i | −0.117150 | − | 0.360550i | ||||
\(315\) | −213462. | + | 155893.i | −0.121211 | + | 0.0885218i | ||||
\(316\) | 1.71248e6 | + | 2.35703e6i | 0.964736 | + | 1.32785i | ||||
\(317\) | −1.77800e6 | − | 577708.i | −0.993767 | − | 0.322894i | −0.233395 | − | 0.972382i | \(-0.574983\pi\) |
−0.760372 | + | 0.649488i | \(0.774983\pi\) | |||||||
\(318\) | 192068. | + | 263676.i | 0.106509 | + | 0.146219i | ||||
\(319\) | 1.24434e6 | − | 2.34622e6i | 0.684641 | − | 1.29090i | ||||
\(320\) | 320489.i | 0.174960i | ||||||||
\(321\) | −511042. | − | 1.56626e6i | −0.276818 | − | 0.848404i | ||||
\(322\) | 298365. | − | 216775.i | 0.160364 | − | 0.116512i | ||||
\(323\) | 851042. | − | 1.17136e6i | 0.453884 | − | 0.624717i | ||||
\(324\) | −529874. | + | 1.65852e6i | −0.280421 | + | 0.877724i | ||||
\(325\) | −799292. | + | 259706.i | −0.419756 | + | 0.136387i | ||||
\(326\) | 472945. | + | 343615.i | 0.246471 | + | 0.179072i | ||||
\(327\) | −3.02113e6 | − | 977517.i | −1.56243 | − | 0.505539i | ||||
\(328\) | −138295. | + | 425628.i | −0.0709777 | + | 0.218447i | ||||
\(329\) | −227920. | −0.116089 | ||||||||
\(330\) | −29749.1 | + | 170997.i | −0.0150379 | + | 0.0864378i | ||||
\(331\) | −2.00575e6 | −1.00625 | −0.503127 | − | 0.864213i | \(-0.667817\pi\) | ||||
−0.503127 | + | 0.864213i | \(0.667817\pi\) | |||||||
\(332\) | 1.05329e6 | − | 3.24171e6i | 0.524451 | − | 1.61409i | ||||
\(333\) | −20559.0 | − | 62748.2i | −0.0101600 | − | 0.0310092i | ||||
\(334\) | −478596. | − | 347721.i | −0.234749 | − | 0.170555i | ||||
\(335\) | −897543. | + | 291630.i | −0.436962 | + | 0.141977i | ||||
\(336\) | 448637. | − | 619097.i | 0.216794 | − | 0.299165i | ||||
\(337\) | 193113. | − | 265798.i | 0.0926270 | − | 0.127490i | −0.760188 | − | 0.649703i | \(-0.774893\pi\) |
0.852815 | + | 0.522213i | \(0.174893\pi\) | |||||||
\(338\) | −362265. | + | 263201.i | −0.172478 | + | 0.125313i | ||||
\(339\) | 1.11407e6 | − | 363498.i | 0.526516 | − | 0.171792i | ||||
\(340\) | 534367.i | 0.250693i | ||||||||
\(341\) | 196862. | + | 34498.5i | 0.0916803 | + | 0.0160663i | ||||
\(342\) | 512676. | + | 165185.i | 0.237016 | + | 0.0763667i | ||||
\(343\) | 1.75890e6 | + | 571500.i | 0.807244 | + | 0.262289i | ||||
\(344\) | −812506. | − | 1.11832e6i | −0.370195 | − | 0.509530i | ||||
\(345\) | 1.02050e6 | − | 1255.81i | 0.461600 | − | 0.000568037i | ||||
\(346\) | 263189. | + | 810014.i | 0.118189 | + | 0.363749i | ||||
\(347\) | 93590.8 | + | 288043.i | 0.0417263 | + | 0.128420i | 0.969750 | − | 0.244102i | \(-0.0784931\pi\) |
−0.928023 | + | 0.372522i | \(0.878493\pi\) | |||||||
\(348\) | 3.04176e6 | − | 3743.14i | 1.34641 | − | 0.00165687i | ||||
\(349\) | 2.12328e6 | + | 2.92244e6i | 0.933133 | + | 1.28435i | 0.958625 | + | 0.284672i | \(0.0918846\pi\) |
−0.0254926 | + | 0.999675i | \(0.508115\pi\) | |||||||
\(350\) | 264261. | + | 85863.7i | 0.115309 | + | 0.0374662i | ||||
\(351\) | −1.07281e6 | + | 352959.i | −0.464786 | + | 0.152917i | ||||
\(352\) | −245944. | − | 1.73672e6i | −0.105798 | − | 0.747090i | ||||
\(353\) | 3303.03i | 0.00141083i | 1.00000 | 0.000705417i | \(0.000224541\pi\) | |||||
−1.00000 | 0.000705417i | \(0.999775\pi\) | ||||||||
\(354\) | 208888. | − | 68156.2i | 0.0885943 | − | 0.0289066i | ||||
\(355\) | 140254. | − | 101900.i | 0.0590669 | − | 0.0429146i | ||||
\(356\) | 1.96988e6 | − | 2.71131e6i | 0.823789 | − | 1.13385i | ||||
\(357\) | 588967. | − | 812744.i | 0.244580 | − | 0.337508i | ||||
\(358\) | −98088.8 | + | 31871.0i | −0.0404494 | + | 0.0131428i | ||||
\(359\) | −1.82317e6 | − | 1.32461e6i | −0.746606 | − | 0.542441i | 0.148167 | − | 0.988962i | \(-0.452663\pi\) |
−0.894773 | + | 0.446521i | \(0.852663\pi\) | |||||||
\(360\) | −393928. | + | 129068.i | −0.160199 | + | 0.0524882i | ||||
\(361\) | 161279. | − | 496365.i | 0.0651342 | − | 0.200463i | ||||
\(362\) | −630130. | −0.252731 | ||||||||
\(363\) | −79248.2 | + | 2.50929e6i | −0.0315662 | + | 0.999502i | ||||
\(364\) | 546511. | 0.216195 | ||||||||
\(365\) | 32427.7 | − | 99802.3i | 0.0127404 | − | 0.0392111i | ||||
\(366\) | 568355. | + | 183897.i | 0.221777 | + | 0.0717582i | ||||
\(367\) | −766396. | − | 556820.i | −0.297022 | − | 0.215799i | 0.429286 | − | 0.903169i | \(-0.358765\pi\) |
−0.726308 | + | 0.687370i | \(0.758765\pi\) | |||||||
\(368\) | −2.80732e6 | + | 912154.i | −1.08062 | + | 0.351114i | ||||
\(369\) | 1.11546e6 | − | 2745.34i | 0.426469 | − | 0.00104961i | ||||
\(370\) | 4431.34 | − | 6099.22i | 0.00168279 | − | 0.00231617i | ||||
\(371\) | −663761. | + | 482251.i | −0.250367 | + | 0.181902i | ||||
\(372\) | 71004.8 | + | 217619.i | 0.0266030 | + | 0.0815341i | ||||
\(373\) | 572267.i | 0.212974i | 0.994314 | + | 0.106487i | \(0.0339603\pi\) | ||||
−0.994314 | + | 0.106487i | \(0.966040\pi\) | |||||||
\(374\) | −92411.5 | − | 652559.i | −0.0341623 | − | 0.241235i | ||||
\(375\) | 954555. | + | 1.31044e6i | 0.350528 | + | 0.481214i | ||||
\(376\) | −339944. | − | 110454.i | −0.124004 | − | 0.0402915i | ||||
\(377\) | 1.15973e6 | + | 1.59623e6i | 0.420246 | + | 0.578419i | ||||
\(378\) | 355542. | + | 114073.i | 0.127986 | + | 0.0410633i | ||||
\(379\) | −634322. | − | 1.95224e6i | −0.226836 | − | 0.698129i | −0.998100 | − | 0.0616141i | \(-0.980375\pi\) |
0.771264 | − | 0.636515i | \(-0.219625\pi\) | |||||||
\(380\) | −222872. | − | 685931.i | −0.0791767 | − | 0.243681i | ||||
\(381\) | 3922.56 | + | 3.18755e6i | 0.00138438 | + | 1.12498i | ||||
\(382\) | 291697. | + | 401487.i | 0.102276 | + | 0.140771i | ||||
\(383\) | −2.54320e6 | − | 826334.i | −0.885896 | − | 0.287845i | −0.169493 | − | 0.985531i | \(-0.554213\pi\) |
−0.716403 | + | 0.697686i | \(0.754213\pi\) | |||||||
\(384\) | 2.12824e6 | − | 1.55026e6i | 0.736535 | − | 0.536510i | ||||
\(385\) | −429980. | − | 75350.6i | −0.147841 | − | 0.0259081i | ||||
\(386\) | 715707.i | 0.244493i | ||||||||
\(387\) | −2.01828e6 | + | 2.79235e6i | −0.685022 | + | 0.947749i | ||||
\(388\) | 402683. | − | 292567.i | 0.135795 | − | 0.0986610i | ||||
\(389\) | −2.99097e6 | + | 4.11672e6i | −1.00216 | + | 1.37936i | −0.0781755 | + | 0.996940i | \(0.524909\pi\) |
−0.923988 | + | 0.382421i | \(0.875091\pi\) | |||||||
\(390\) | −104414. | − | 75664.7i | −0.0347612 | − | 0.0251902i | ||||
\(391\) | −3.68543e6 | + | 1.19747e6i | −1.21912 | + | 0.396115i | ||||
\(392\) | 1.02081e6 | + | 741663.i | 0.335529 | + | 0.243776i | ||||
\(393\) | 1.71647e6 | − | 5.30496e6i | 0.560602 | − | 1.73261i | ||||
\(394\) | −198073. | + | 609605.i | −0.0642813 | + | 0.197837i | ||||
\(395\) | 1.72891e6 | 0.557545 | ||||||||
\(396\) | −2.57996e6 | + | 1.26957e6i | −0.826752 | + | 0.406836i | ||||
\(397\) | −3.77811e6 | −1.20309 | −0.601545 | − | 0.798839i | \(-0.705448\pi\) | ||||
−0.601545 | + | 0.798839i | \(0.705448\pi\) | |||||||
\(398\) | −143927. | + | 442962.i | −0.0455444 | + | 0.140171i | ||||
\(399\) | −417040. | + | 1.28891e6i | −0.131143 | + | 0.405313i | ||||
\(400\) | −1.79920e6 | − | 1.30720e6i | −0.562251 | − | 0.408500i | ||||
\(401\) | 1.99322e6 | − | 647636.i | 0.619005 | − | 0.201127i | 0.0173064 | − | 0.999850i | \(-0.494491\pi\) |
0.601698 | + | 0.798723i | \(0.294491\pi\) | |||||||
\(402\) | 1.07950e6 | + | 782272.i | 0.333162 | + | 0.241431i | ||||
\(403\) | −87276.3 | + | 120126.i | −0.0267691 | + | 0.0368445i | ||||
\(404\) | −1.04872e6 | + | 761940.i | −0.319673 | + | 0.232256i | ||||
\(405\) | 611415. | + | 832888.i | 0.185225 | + | 0.252319i | ||||
\(406\) | − | 652329.i | − | 0.196404i | ||||||
\(407\) | 51093.8 | − | 96337.9i | 0.0152891 | − | 0.0288278i | ||||
\(408\) | 1.27232e6 | − | 926789.i | 0.378396 | − | 0.275633i | ||||
\(409\) | 3.04382e6 | + | 988996.i | 0.899726 | + | 0.292339i | 0.722124 | − | 0.691764i | \(-0.243166\pi\) |
0.177602 | + | 0.984102i | \(0.443166\pi\) | |||||||
\(410\) | 74859.4 | + | 103035.i | 0.0219931 | + | 0.0302709i | ||||
\(411\) | 6913.74 | + | 5.61826e6i | 0.00201887 | + | 1.64058i | ||||
\(412\) | 1.25339e6 | + | 3.85754e6i | 0.363784 | + | 1.11961i | ||||
\(413\) | 170772. | + | 525582.i | 0.0492653 | + | 0.151623i | ||||
\(414\) | −850209. | − | 1.16418e6i | −0.243795 | − | 0.333824i | ||||
\(415\) | −1.18892e6 | − | 1.63640e6i | −0.338868 | − | 0.466412i | ||||
\(416\) | 1.23935e6 | + | 402690.i | 0.351125 | + | 0.114087i | ||||
\(417\) | −1.47899e6 | − | 2.03039e6i | −0.416508 | − | 0.571794i | ||||
\(418\) | 390790. | + | 799104.i | 0.109396 | + | 0.223698i | ||||
\(419\) | − | 4.72687e6i | − | 1.31534i | −0.753305 | − | 0.657671i | \(-0.771542\pi\) | ||
0.753305 | − | 0.657671i | \(-0.228458\pi\) | |||||||
\(420\) | −155087. | − | 475316.i | −0.0428994 | − | 0.131480i | ||||
\(421\) | 2.46491e6 | − | 1.79086e6i | 0.677790 | − | 0.492444i | −0.194833 | − | 0.980836i | \(-0.562417\pi\) |
0.872624 | + | 0.488393i | \(0.162417\pi\) | |||||||
\(422\) | −292292. | + | 402306.i | −0.0798980 | + | 0.109970i | ||||
\(423\) | 2192.66 | + | 890902.i | 0.000595828 | + | 0.242091i | ||||
\(424\) | −1.22371e6 | + | 397608.i | −0.330571 | + | 0.107409i | ||||
\(425\) | −2.36198e6 | − | 1.71608e6i | −0.634313 | − | 0.460856i | ||||
\(426\) | −233004. | − | 75390.6i | −0.0622070 | − | 0.0201277i | ||||
\(427\) | −464275. | + | 1.42889e6i | −0.123227 | + | 0.379253i | ||||
\(428\) | 3.11632e6 | 0.822305 | ||||||||
\(429\) | −1.64883e6 | − | 871874.i | −0.432545 | − | 0.228723i | ||||
\(430\) | −393379. | −0.102598 | ||||||||
\(431\) | −967841. | + | 2.97871e6i | −0.250964 | + | 0.772387i | 0.743635 | + | 0.668586i | \(0.233100\pi\) |
−0.994598 | + | 0.103800i | \(0.966900\pi\) | |||||||
\(432\) | −2.42427e6 | − | 1.74770e6i | −0.624987 | − | 0.450564i | ||||
\(433\) | 5.73902e6 | + | 4.16964e6i | 1.47102 | + | 1.06876i | 0.980318 | + | 0.197427i | \(0.0632587\pi\) |
0.490699 | + | 0.871329i | \(0.336741\pi\) | |||||||
\(434\) | 46688.8 | − | 15170.1i | 0.0118984 | − | 0.00386602i | ||||
\(435\) | 1.05919e6 | − | 1.46162e6i | 0.268379 | − | 0.370350i | ||||
\(436\) | 3.53036e6 | − | 4.85912e6i | 0.889410 | − | 1.22417i | ||||
\(437\) | 4.23130e6 | − | 3.07422e6i | 1.05991 | − | 0.770071i | ||||
\(438\) | −140927. | + | 45981.6i | −0.0351000 | + | 0.0114525i | ||||
\(439\) | − | 7.52265e6i | − | 1.86299i | −0.363759 | − | 0.931493i | \(-0.618507\pi\) | ||
0.363759 | − | 0.931493i | \(-0.381493\pi\) | |||||||
\(440\) | −604801. | − | 320763.i | −0.148930 | − | 0.0789864i | ||||
\(441\) | 964489. | − | 2.99344e6i | 0.236157 | − | 0.732950i | ||||
\(442\) | 465678. | + | 151308.i | 0.113378 | + | 0.0368388i | ||||
\(443\) | 762842. | + | 1.04996e6i | 0.184682 | + | 0.254194i | 0.891312 | − | 0.453390i | \(-0.149785\pi\) |
−0.706630 | + | 0.707583i | \(0.749785\pi\) | |||||||
\(444\) | 124897. | − | 153.697i | 0.0300674 | − | 3.70005e-5i | ||||
\(445\) | −614567. | − | 1.89144e6i | −0.147119 | − | 0.452786i | ||||
\(446\) | −349573. | − | 1.07587e6i | −0.0832147 | − | 0.256109i | ||||
\(447\) | −4.90793e6 | + | 6039.62i | −1.16179 | + | 0.00142969i | ||||
\(448\) | 669284. | + | 921190.i | 0.157549 | + | 0.216847i | ||||
\(449\) | 957957. | + | 311259.i | 0.224249 | + | 0.0728629i | 0.418986 | − | 0.907993i | \(-0.362385\pi\) |
−0.194737 | + | 0.980855i | \(0.562385\pi\) | |||||||
\(450\) | 333086. | − | 1.03378e6i | 0.0775398 | − | 0.240657i | ||||
\(451\) | 1.28107e6 | + | 1.32380e6i | 0.296574 | + | 0.306465i | ||||
\(452\) | 2.21660e6i | 0.510320i | ||||||||
\(453\) | 2.45329e6 | − | 800463.i | 0.561700 | − | 0.183272i | ||||
\(454\) | −1.44940e6 | + | 1.05305e6i | −0.330027 | + | 0.239779i | ||||
\(455\) | 190626. | − | 262374.i | 0.0431672 | − | 0.0594146i | ||||
\(456\) | −1.24665e6 | + | 1.72031e6i | −0.280758 | + | 0.387432i | ||||
\(457\) | −420939. | + | 136771.i | −0.0942820 | + | 0.0306341i | −0.355778 | − | 0.934570i | \(-0.615784\pi\) |
0.261496 | + | 0.965205i | \(0.415784\pi\) | |||||||
\(458\) | −73797.6 | − | 53617.1i | −0.0164391 | − | 0.0119437i | ||||
\(459\) | −3.18256e6 | − | 2.29436e6i | −0.705090 | − | 0.508311i | ||||
\(460\) | −596493. | + | 1.83582e6i | −0.131435 | + | 0.404515i | ||||
\(461\) | 4.94525e6 | 1.08377 | 0.541884 | − | 0.840454i | \(-0.317711\pi\) | ||||
0.541884 | + | 0.840454i | \(0.317711\pi\) | |||||||
\(462\) | 271588. | + | 553628.i | 0.0591979 | + | 0.120674i | ||||
\(463\) | −3.37307e6 | −0.731263 | −0.365631 | − | 0.930760i | \(-0.619147\pi\) | ||||
−0.365631 | + | 0.930760i | \(0.619147\pi\) | |||||||
\(464\) | −1.61341e6 | + | 4.96556e6i | −0.347896 | + | 1.07071i | ||||
\(465\) | 129244. | + | 41818.0i | 0.0277189 | + | 0.00896873i | ||||
\(466\) | −464885. | − | 337759.i | −0.0991701 | − | 0.0720513i | ||||
\(467\) | 4.17712e6 | − | 1.35723e6i | 0.886309 | − | 0.287979i | 0.169734 | − | 0.985490i | \(-0.445709\pi\) |
0.716574 | + | 0.697511i | \(0.245709\pi\) | |||||||
\(468\) | −5257.62 | − | 2.13623e6i | −0.00110962 | − | 0.450850i | ||||
\(469\) | −1.97082e6 | + | 2.71260e6i | −0.413728 | + | 0.569447i | ||||
\(470\) | −82292.7 | + | 59789.2i | −0.0171837 | + | 0.0124847i | ||||
\(471\) | −2.01980e6 | − | 6.19039e6i | −0.419524 | − | 1.28578i | ||||
\(472\) | 866669.i | 0.179060i | ||||||||
\(473\) | −5.63381e6 | + | 797826.i | −1.15784 | + | 0.163967i | ||||
\(474\) | −1.43798e6 | − | 1.97409e6i | −0.293972 | − | 0.403573i | ||||
\(475\) | 3.74765e6 | + | 1.21769e6i | 0.762123 | + | 0.247629i | ||||
\(476\) | 1.11593e6 | + | 1.53595e6i | 0.225746 | + | 0.310712i | ||||
\(477\) | 1.89143e6 | + | 2.58990e6i | 0.380622 | + | 0.521179i | ||||
\(478\) | −640925. | − | 1.97256e6i | −0.128303 | − | 0.394877i | ||||
\(479\) | −1.53073e6 | − | 4.71110e6i | −0.304831 | − | 0.938175i | −0.979740 | − | 0.200273i | \(-0.935817\pi\) |
0.674909 | − | 0.737901i | \(-0.264183\pi\) | |||||||
\(480\) | −1467.07 | − | 1.19217e6i | −0.000290635 | − | 0.236177i | ||||
\(481\) | 47619.6 | + | 65542.8i | 0.00938476 | + | 0.0129170i | ||||
\(482\) | 2.28095e6 | + | 741125.i | 0.447196 | + | 0.145303i | ||||
\(483\) | 2.93063e6 | − | 2.13474e6i | 0.571601 | − | 0.416368i | ||||
\(484\) | −4.46574e6 | − | 1.61476e6i | −0.866523 | − | 0.313325i | ||||
\(485\) | − | 295373.i | − | 0.0570186i | ||||||
\(486\) | 442474. | − | 1.39086e6i | 0.0849761 | − | 0.267111i | ||||
\(487\) | 6.19486e6 | − | 4.50083e6i | 1.18361 | − | 0.859944i | 0.191037 | − | 0.981583i | \(-0.438815\pi\) |
0.992574 | + | 0.121639i | \(0.0388151\pi\) | |||||||
\(488\) | −1.38494e6 | + | 1.90620e6i | −0.263258 | + | 0.362343i | ||||
\(489\) | 4.65372e6 | + | 3.37239e6i | 0.880093 | + | 0.637772i | ||||
\(490\) | 341505. | − | 110962.i | 0.0642550 | − | 0.0208777i | ||||
\(491\) | −7712.16 | − | 5603.21i | −0.00144368 | − | 0.00104890i | 0.587063 | − | 0.809541i | \(-0.300284\pi\) |
−0.588507 | + | 0.808492i | \(0.700284\pi\) | |||||||
\(492\) | −649529. | + | 2.00745e6i | −0.120972 | + | 0.373879i | ||||
\(493\) | −2.11807e6 | + | 6.51875e6i | −0.392485 | + | 1.20794i | ||||
\(494\) | −660866. | −0.121842 | ||||||||
\(495\) | −290397. | + | 1.68145e6i | −0.0532696 | + | 0.308440i | ||||
\(496\) | −392918. | −0.0717129 | ||||||||
\(497\) | 190335. | − | 585790.i | 0.0345643 | − | 0.106378i | ||||
\(498\) | −879616. | + | 2.71856e6i | −0.158935 | + | 0.491208i | ||||
\(499\) | 3.50023e6 | + | 2.54306e6i | 0.629282 | + | 0.457200i | 0.856151 | − | 0.516725i | \(-0.172849\pi\) |
−0.226870 | + | 0.973925i | \(0.572849\pi\) | |||||||
\(500\) | −2.91651e6 | + | 947632.i | −0.521721 | + | 0.169518i | ||||
\(501\) | −4.70933e6 | − | 3.41268e6i | −0.838233 | − | 0.607438i | ||||
\(502\) | 1.69394e6 | − | 2.33151e6i | 0.300012 | − | 0.412932i | ||||
\(503\) | −565221. | + | 410657.i | −0.0996090 | + | 0.0723702i | −0.636475 | − | 0.771297i | \(-0.719608\pi\) |
0.536866 | + | 0.843668i | \(0.319608\pi\) | |||||||
\(504\) | −862745. | + | 1.19363e6i | −0.151289 | + | 0.209312i | ||||
\(505\) | 769250.i | 0.134227i | ||||||||
\(506\) | 410947. | − | 2.34502e6i | 0.0713525 | − | 0.407165i | ||||
\(507\) | −3.55827e6 | + | 2.59193e6i | −0.614780 | + | 0.447821i | ||||
\(508\) | −5.73421e6 | − | 1.86316e6i | −0.985859 | − | 0.320325i | ||||
\(509\) | 2.46827e6 | + | 3.39729e6i | 0.422278 | + | 0.581216i | 0.966159 | − | 0.257946i | \(-0.0830457\pi\) |
−0.543881 | + | 0.839162i | \(0.683046\pi\) | |||||||
\(510\) | −551.241 | − | 447951.i | −9.38461e−5 | − | 0.0762614i | ||||
\(511\) | −115211. | − | 354584.i | −0.0195184 | − | 0.0600713i | ||||
\(512\) | 1.82621e6 | + | 5.62050e6i | 0.307876 | + | 0.947545i | ||||
\(513\) | 5.04216e6 | + | 1.61774e6i | 0.845908 | + | 0.271404i | ||||
\(514\) | −1435.12 | − | 1975.27i | −0.000239597 | − | 0.000329776i | ||||
\(515\) | 2.28916e6 | + | 743792.i | 0.380327 | + | 0.123576i | ||||
\(516\) | −3.83708e6 | − | 5.26765e6i | −0.634420 | − | 0.870949i | ||||
\(517\) | −1.05730e6 | + | 1.02318e6i | −0.173969 | + | 0.168354i | ||||
\(518\) | − | 26785.2i | − | 0.00438602i | ||||||
\(519\) | 2.59724e6 | + | 7.96014e6i | 0.423247 | + | 1.29719i | ||||
\(520\) | 411472. | − | 298952.i | 0.0667317 | − | 0.0484834i | ||||
\(521\) | −1.59561e6 | + | 2.19617e6i | −0.257533 | + | 0.354463i | −0.918132 | − | 0.396276i | \(-0.870302\pi\) |
0.660599 | + | 0.750739i | \(0.270302\pi\) | |||||||
\(522\) | −2.54985e6 | + | 6275.62i | −0.409580 | + | 0.00100805i | ||||
\(523\) | −6.29391e6 | + | 2.04502e6i | −1.00616 | + | 0.326921i | −0.765324 | − | 0.643645i | \(-0.777421\pi\) |
−0.240835 | + | 0.970566i | \(0.577421\pi\) | |||||||
\(524\) | 8.53236e6 | + | 6.19913e6i | 1.35750 | + | 0.986285i | ||||
\(525\) | 2.59902e6 | + | 840937.i | 0.411539 | + | 0.133157i | ||||
\(526\) | −732791. | + | 2.25530e6i | −0.115482 | + | 0.355418i | ||||
\(527\) | −515819. | −0.0809041 | ||||||||
\(528\) | −698056. | − | 4.88597e6i | −0.108970 | − | 0.762721i | ||||
\(529\) | −7.56163e6 | −1.17483 | ||||||||
\(530\) | −113151. | + | 348243.i | −0.0174972 | + | 0.0538509i | ||||
\(531\) | 2.05278e6 | − | 672577.i | 0.315940 | − | 0.103516i | ||||
\(532\) | −2.07305e6 | − | 1.50616e6i | −0.317564 | − | 0.230724i | ||||
\(533\) | −1.30162e6 | + | 422922.i | −0.198457 | + | 0.0644826i | ||||
\(534\) | −1.64853e6 | + | 2.27488e6i | −0.250174 | + | 0.345228i | ||||
\(535\) | 1.08699e6 | − | 1.49612e6i | 0.164188 | − | 0.225986i | ||||
\(536\) | −4.25407e6 | + | 3.09076e6i | −0.639577 | + | 0.464680i | ||||
\(537\) | −963934. | + | 314513.i | −0.144249 | + | 0.0470655i | ||||
\(538\) | − | 1.90682e6i | − | 0.284023i | ||||||
\(539\) | 4.66585e6 | − | 2.28177e6i | 0.691766 | − | 0.338298i | ||||
\(540\) | −1.85644e6 | + | 610782.i | −0.273967 | + | 0.0901367i | ||||
\(541\) | −822172. | − | 267140.i | −0.120773 | − | 0.0392415i | 0.248007 | − | 0.968758i | \(-0.420224\pi\) |
−0.368780 | + | 0.929517i | \(0.620224\pi\) | |||||||
\(542\) | 770517. | + | 1.06053e6i | 0.112664 | + | 0.155068i | ||||
\(543\) | −6.19487e6 | + | 7623.30i | −0.901638 | + | 0.00110954i | ||||
\(544\) | 1.39891e6 | + | 4.30541e6i | 0.202672 | + | 0.623759i | ||||
\(545\) | −1.10141e6 | − | 3.38978e6i | −0.158839 | − | 0.488855i | ||||
\(546\) | −458131. | + | 563.769i | −0.0657670 | + | 8.09319e-5i | ||||
\(547\) | 3.46047e6 | + | 4.76292e6i | 0.494500 | + | 0.680621i | 0.981210 | − | 0.192943i | \(-0.0618031\pi\) |
−0.486710 | + | 0.873564i | \(0.661803\pi\) | |||||||
\(548\) | −1.01069e7 | − | 3.28393e6i | −1.43769 | − | 0.467135i | ||||
\(549\) | 5.58978e6 | + | 1.80103e6i | 0.791523 | + | 0.255029i | ||||
\(550\) | 1.61135e6 | − | 788007.i | 0.227134 | − | 0.111077i | ||||
\(551\) | − | 9.25108e6i | − | 1.29812i | ||||||
\(552\) | 5.40560e6 | − | 1.76374e6i | 0.755085 | − | 0.246370i | ||||
\(553\) | 4.96946e6 | − | 3.61052e6i | 0.691029 | − | 0.502062i | ||||
\(554\) | −460567. | + | 633916.i | −0.0637556 | + | 0.0877520i | ||||
\(555\) | 43491.1 | − | 60015.6i | 0.00599333 | − | 0.00827050i | ||||
\(556\) | 4.51884e6 | − | 1.46826e6i | 0.619926 | − | 0.201426i | ||||
\(557\) | −80189.3 | − | 58261.0i | −0.0109516 | − | 0.00795682i | 0.582296 | − | 0.812977i | \(-0.302154\pi\) |
−0.593248 | + | 0.805020i | \(0.702154\pi\) | |||||||
\(558\) | −59746.7 | − | 182353.i | −0.00812322 | − | 0.0247929i | ||||
\(559\) | 1.30630e6 | − | 4.02039e6i | 0.176813 | − | 0.544175i | ||||
\(560\) | 858198. | 0.115643 | ||||||||
\(561\) | −916401. | − | 6.41425e6i | −0.122936 | − | 0.860476i | ||||
\(562\) | 3.30447e6 | 0.441328 | ||||||||
\(563\) | 23889.8 | − | 73525.2i | 0.00317644 | − | 0.00977608i | −0.949456 | − | 0.313901i | \(-0.898364\pi\) |
0.952632 | + | 0.304125i | \(0.0983640\pi\) | |||||||
\(564\) | −1.60332e6 | − | 518770.i | −0.212238 | − | 0.0686716i | ||||
\(565\) | 1.06417e6 | + | 773165.i | 0.140246 | + | 0.101895i | ||||
\(566\) | 1.44627e6 | − | 469921.i | 0.189761 | − | 0.0616572i | ||||
\(567\) | 3.49675e6 | + | 1.11716e6i | 0.456780 | + | 0.145935i | ||||
\(568\) | 567772. | − | 781471.i | 0.0738419 | − | 0.101635i | ||||
\(569\) | 602539. | − | 437770.i | 0.0780197 | − | 0.0566846i | −0.548092 | − | 0.836418i | \(-0.684646\pi\) |
0.626111 | + | 0.779734i | \(0.284646\pi\) | |||||||
\(570\) | 187538. | + | 574775.i | 0.0241770 | + | 0.0740987i | ||||
\(571\) | − | 1.67260e6i | − | 0.214685i | −0.994222 | − | 0.107343i | \(-0.965766\pi\) | ||
0.994222 | − | 0.107343i | \(-0.0342342\pi\) | |||||||
\(572\) | 2.53522e6 | − | 2.45340e6i | 0.323986 | − | 0.313529i | ||||
\(573\) | 2.87256e6 | + | 3.94353e6i | 0.365496 | + | 0.501763i | ||||
\(574\) | 430341. | + | 139826.i | 0.0545171 | + | 0.0177137i | ||||
\(575\) | −6.19899e6 | − | 8.53218e6i | −0.781900 | − | 1.07619i | ||||
\(576\) | 3.59435e6 | − | 2.62499e6i | 0.451403 | − | 0.329664i | ||||
\(577\) | −794712. | − | 2.44587e6i | −0.0993734 | − | 0.305840i | 0.888995 | − | 0.457916i | \(-0.151404\pi\) |
−0.988369 | + | 0.152076i | \(0.951404\pi\) | |||||||
\(578\) | −170079. | − | 523448.i | −0.0211753 | − | 0.0651709i | ||||
\(579\) | 8658.62 | + | 7.03618e6i | 0.00107338 | + | 0.872249i | ||||
\(580\) | 2.00687e6 | + | 2.76221e6i | 0.247713 | + | 0.340947i | ||||
\(581\) | −6.83467e6 | − | 2.22072e6i | −0.839996 | − | 0.272931i | ||||
\(582\) | −337261. | + | 245669.i | −0.0412723 | + | 0.0300638i | ||||
\(583\) | −914218. | + | 5.21688e6i | −0.111398 | + | 0.635682i | ||||
\(584\) | − | 584699.i | − | 0.0709415i | ||||||
\(585\) | −1.02741e6 | − | 742604.i | −0.124124 | − | 0.0897155i | ||||
\(586\) | 1.28444e6 | − | 933198.i | 0.154514 | − | 0.112261i | ||||
\(587\) | 8.53641e6 | − | 1.17494e7i | 1.02254 | − | 1.40741i | 0.112132 | − | 0.993693i | \(-0.464232\pi\) |
0.910408 | − | 0.413712i | \(-0.135768\pi\) | |||||||
\(588\) | 4.81697e6 | + | 3.49068e6i | 0.574553 | + | 0.416358i | ||||
\(589\) | 662122. | − | 215137.i | 0.0786411 | − | 0.0255521i | ||||
\(590\) | 199533. | + | 144969.i | 0.0235985 | + | 0.0171453i | ||||
\(591\) | −1.93990e6 | + | 5.99548e6i | −0.228460 | + | 0.706083i | ||||
\(592\) | −66248.1 | + | 203891.i | −0.00776907 | + | 0.0239107i | ||||
\(593\) | −8.65439e6 | −1.01065 | −0.505324 | − | 0.862930i | \(-0.668627\pi\) | ||||
−0.505324 | + | 0.862930i | \(0.668627\pi\) | |||||||
\(594\) | 2.16143e6 | − | 1.06692e6i | 0.251348 | − | 0.124070i | ||||
\(595\) | 1.12663e6 | 0.130464 | ||||||||
\(596\) | 2.86873e6 | − | 8.82906e6i | 0.330807 | − | 1.01812i | ||||
\(597\) | −1.40960e6 | + | 4.35655e6i | −0.161868 | + | 0.500272i | ||||
\(598\) | 1.43094e6 | + | 1.03964e6i | 0.163632 | + | 0.118885i | ||||
\(599\) | −1.21264e7 | + | 3.94010e6i | −1.38091 | + | 0.448684i | −0.902967 | − | 0.429710i | \(-0.858616\pi\) |
−0.477939 | + | 0.878393i | \(0.658616\pi\) | |||||||
\(600\) | 3.46892e6 | + | 2.51380e6i | 0.393383 | + | 0.285071i | ||||
\(601\) | 5.08517e6 | − | 6.99913e6i | 0.574274 | − | 0.790420i | −0.418779 | − | 0.908088i | \(-0.637542\pi\) |
0.993053 | + | 0.117668i | \(0.0375418\pi\) | |||||||
\(602\) | −1.13070e6 | + | 821502.i | −0.127162 | + | 0.0923883i | ||||
\(603\) | 1.06221e7 | + | 7.67753e6i | 1.18964 | + | 0.859860i | ||||
\(604\) | 4.88120e6i | 0.544421i | ||||||||
\(605\) | −2.33291e6 | + | 1.58072e6i | −0.259125 | + | 0.175577i | ||||
\(606\) | 878340. | − | 639804.i | 0.0971585 | − | 0.0707726i | ||||
\(607\) | −7.34627e6 | − | 2.38695e6i | −0.809273 | − | 0.262949i | −0.124983 | − | 0.992159i | \(-0.539888\pi\) |
−0.684290 | + | 0.729210i | \(0.739888\pi\) | |||||||
\(608\) | −3.59138e6 | − | 4.94311e6i | −0.394006 | − | 0.542302i | ||||
\(609\) | −7891.87 | − | 6.41310e6i | −0.000862257 | − | 0.700689i | ||||
\(610\) | 207204. | + | 637707.i | 0.0225462 | + | 0.0693899i | ||||
\(611\) | −337782. | − | 1.03959e6i | −0.0366044 | − | 0.112657i | ||||
\(612\) | 5.99304e6 | − | 4.37677e6i | 0.646797 | − | 0.472362i | ||||
\(613\) | −1.00394e7 | − | 1.38180e7i | −1.07908 | − | 1.48523i | −0.860527 | − | 0.509405i | \(-0.829866\pi\) |
−0.218555 | − | 0.975825i | \(-0.570134\pi\) | |||||||
\(614\) | 2.09819e6 | + | 681743.i | 0.224607 | + | 0.0729793i | ||||
\(615\) | 737196. | + | 1.01204e6i | 0.0785950 | + | 0.107897i | ||||
\(616\) | −2.40825e6 | + | 341043.i | −0.255712 | + | 0.0362124i | ||||
\(617\) | 1.37931e7i | 1.45864i | 0.684171 | + | 0.729322i | \(0.260164\pi\) | ||||
−0.684171 | + | 0.729322i | \(0.739836\pi\) | |||||||
\(618\) | −1.05468e6 | − | 3.23242e6i | −0.111083 | − | 0.340453i | ||||
\(619\) | −9.55588e6 | + | 6.94275e6i | −1.00241 | + | 0.728291i | −0.962603 | − | 0.270916i | \(-0.912673\pi\) |
−0.0398039 | + | 0.999208i | \(0.512673\pi\) | |||||||
\(620\) | −151028. | + | 207872.i | −0.0157790 | + | 0.0217179i | ||||
\(621\) | −8.37257e6 | − | 1.14348e7i | −0.871224 | − | 1.18987i | ||||
\(622\) | −165700. | + | 53839.1i | −0.0171730 | + | 0.00557984i | ||||
\(623\) | −5.71641e6 | − | 4.15322e6i | −0.590070 | − | 0.428711i | ||||
\(624\) | 3.48871e6 | + | 1.12881e6i | 0.358677 | + | 0.116054i | ||||
\(625\) | 2.15974e6 | − | 6.64700e6i | 0.221157 | − | 0.680652i | ||||
\(626\) | −3.27888e6 | −0.334418 | ||||||||
\(627\) | 3.85156e6 | + | 7.85133e6i | 0.391262 | + | 0.797581i | ||||
\(628\) | 1.23167e7 | 1.24622 | ||||||||
\(629\) | −86969.9 | + | 267666.i | −0.00876481 | + | 0.0269753i | ||||
\(630\) | 130497. | + | 398290.i | 0.0130993 | + | 0.0399805i | ||||
\(631\) | 3.82843e6 | + | 2.78152e6i | 0.382779 | + | 0.278105i | 0.762490 | − | 0.647000i | \(-0.223977\pi\) |
−0.379711 | + | 0.925105i | \(0.623977\pi\) | |||||||
\(632\) | 9.16172e6 | − | 2.97682e6i | 0.912398 | − | 0.296456i | ||||
\(633\) | −2.86868e6 | + | 3.95864e6i | −0.284560 | + | 0.392678i | ||||
\(634\) | −1.74239e6 | + | 2.39820e6i | −0.172156 | + | 0.236953i | ||||
\(635\) | −2.89461e6 | + | 2.10306e6i | −0.284876 | + | 0.206975i | ||||
\(636\) | −5.76694e6 | + | 1.88164e6i | −0.565331 | + | 0.184457i | ||||
\(637\) | 3.85870e6i | 0.376784i | ||||||||
\(638\) | −2.92844e6 | − | 3.02610e6i | −0.284829 | − | 0.294328i | ||||
\(639\) | −2.29159e6 | − | 738354.i | −0.222017 | − | 0.0715340i | ||||
\(640\) | 2.81082e6 | + | 913292.i | 0.271259 | + | 0.0881373i | ||||
\(641\) | 1.80711e6 | + | 2.48727e6i | 0.173716 | + | 0.239099i | 0.886993 | − | 0.461783i | \(-0.152790\pi\) |
−0.713277 | + | 0.700882i | \(0.752790\pi\) | |||||||
\(642\) | −2.61236e6 | + | 3214.73i | −0.250147 | + | 0.000307827i | ||||
\(643\) | 1.32318e6 | + | 4.07232e6i | 0.126209 | + | 0.388432i | 0.994119 | − | 0.108289i | \(-0.0345372\pi\) |
−0.867910 | + | 0.496721i | \(0.834537\pi\) | |||||||
\(644\) | 2.11926e6 | + | 6.52241e6i | 0.201358 | + | 0.619717i | ||||
\(645\) | −3.86734e6 | + | 4759.09i | −0.366027 | + | 0.000450427i | ||||
\(646\) | −1.34943e6 | − | 1.85734e6i | −0.127224 | − | 0.175109i | ||||
\(647\) | 1.52999e7 | + | 4.97125e6i | 1.43691 | + | 0.466880i | 0.920932 | − | 0.389723i | \(-0.127429\pi\) |
0.515977 | + | 0.856603i | \(0.327429\pi\) | |||||||
\(648\) | 4.67403e6 | + | 3.36085e6i | 0.437274 | + | 0.314421i | ||||
\(649\) | 3.15164e6 | + | 1.67151e6i | 0.293714 | + | 0.155775i | ||||
\(650\) | 1.33260e6i | 0.123713i | ||||||||
\(651\) | 458818. | − | 149703.i | 0.0424315 | − | 0.0138446i | ||||
\(652\) | −8.79473e6 | + | 6.38974e6i | −0.810221 | + | 0.588660i | ||||
\(653\) | −1.03811e7 | + | 1.42884e7i | −0.952713 | + | 1.31130i | −0.00240120 | + | 0.999997i | \(0.500764\pi\) |
−0.950312 | + | 0.311300i | \(0.899236\pi\) | |||||||
\(654\) | −2.95443e6 | + | 4.07696e6i | −0.270103 | + | 0.372728i | ||||
\(655\) | 5.95228e6 | − | 1.93401e6i | 0.542101 | − | 0.176139i | ||||
\(656\) | −2.92995e6 | − | 2.12873e6i | −0.265827 | − | 0.193135i | ||||
\(657\) | −1.38491e6 | + | 453755.i | −0.125172 | + | 0.0410117i | ||||
\(658\) | −111677. | + | 343707.i | −0.0100554 | + | 0.0309474i | ||||
\(659\) | 1.88022e7 | 1.68654 | 0.843268 | − | 0.537493i | \(-0.180629\pi\) | ||||
0.843268 | + | 0.537493i | \(0.180629\pi\) | |||||||
\(660\) | −2.85323e6 | − | 1.50874e6i | −0.254962 | − | 0.134820i | ||||
\(661\) | 8.78537e6 | 0.782089 | 0.391045 | − | 0.920372i | \(-0.372114\pi\) | ||||
0.391045 | + | 0.920372i | \(0.372114\pi\) | |||||||
\(662\) | −982790. | + | 3.02472e6i | −0.0871597 | + | 0.268250i | ||||
\(663\) | 4.57995e6 | + | 1.48189e6i | 0.404648 | + | 0.130928i | ||||
\(664\) | −9.11776e6 | − | 6.62444e6i | −0.802542 | − | 0.583081i | ||||
\(665\) | −1.44619e6 | + | 469894.i | −0.126815 | + | 0.0412046i | ||||
\(666\) | −104699. | + | 257.683i | −0.00914657 | + | 2.25113e-5i | ||||
\(667\) | −1.45533e7 | + | 2.00308e7i | −1.26662 | + | 1.74335i | ||||
\(668\) | 8.89982e6 | − | 6.46610e6i | 0.771685 | − | 0.560662i | ||||
\(669\) | −3.44970e6 | − | 1.05728e7i | −0.298000 | − | 0.913323i | ||||
\(670\) | 1.49641e6i | 0.128784i | ||||||||
\(671\) | 4.26084e6 | + | 8.71274e6i | 0.365333 | + | 0.747048i | ||||
\(672\) | −2.49386e6 | − | 3.42364e6i | −0.213034 | − | 0.292459i | ||||
\(673\) | −6.40754e6 | − | 2.08194e6i | −0.545323 | − | 0.177186i | 0.0233837 | − | 0.999727i | \(-0.492556\pi\) |
−0.568707 | + | 0.822540i | \(0.692556\pi\) | |||||||
\(674\) | −306206. | − | 421456.i | −0.0259635 | − | 0.0357357i | ||||
\(675\) | 3.26209e6 | − | 1.01672e7i | 0.275573 | − | 0.858902i | ||||
\(676\) | −2.57314e6 | − | 7.91930e6i | −0.216569 | − | 0.666530i | ||||
\(677\) | 1.84335e6 | + | 5.67324e6i | 0.154574 | + | 0.475729i | 0.998117 | − | 0.0613314i | \(-0.0195347\pi\) |
−0.843544 | + | 0.537061i | \(0.819535\pi\) | |||||||
\(678\) | −2286.60 | − | 1.85814e6i | −0.000191037 | − | 0.155241i | ||||
\(679\) | −616835. | − | 849000.i | −0.0513445 | − | 0.0706697i | ||||
\(680\) | 1.68038e6 | + | 545990.i | 0.139359 | + | 0.0452806i | ||||
\(681\) | −1.42365e7 | + | 1.03702e7i | −1.17634 | + | 0.856878i | ||||
\(682\) | 148484. | − | 279968.i | 0.0122242 | − | 0.0230488i | ||||
\(683\) | 5.36224e6i | 0.439839i | 0.975518 | + | 0.219920i | \(0.0705795\pi\) | ||||
−0.975518 | + | 0.219920i | \(0.929420\pi\) | |||||||
\(684\) | −5.86741e6 | + | 8.11773e6i | −0.479519 | + | 0.663429i | ||||
\(685\) | −5.10193e6 | + | 3.70677e6i | −0.415440 | + | 0.301835i | ||||
\(686\) | 1.72367e6 | − | 2.37242e6i | 0.139844 | − | 0.192478i | ||||
\(687\) | −726160. | − | 526222.i | −0.0587003 | − | 0.0425380i | ||||
\(688\) | 1.06388e7 | − | 3.45675e6i | 0.856881 | − | 0.278418i | ||||
\(689\) | −3.18335e6 | − | 2.31284e6i | −0.255468 | − | 0.185608i | ||||
\(690\) | 498137. | − | 1.53955e6i | 0.0398314 | − | 0.123104i | ||||
\(691\) | 2.36816e6 | − | 7.28844e6i | 0.188675 | − | 0.580683i | −0.811317 | − | 0.584607i | \(-0.801249\pi\) |
0.999992 | + | 0.00392342i | \(0.00124887\pi\) | |||||||
\(692\) | −1.58379e7 | −1.25728 | ||||||||
\(693\) | 2.67671e6 | + | 5.43948e6i | 0.211723 | + | 0.430253i | ||||
\(694\) | 480233. | 0.0378489 | ||||||||
\(695\) | 871300. | − | 2.68159e6i | 0.0684236 | − | 0.210586i | ||||
\(696\) | 3.09615e6 | − | 9.56902e6i | 0.242270 | − | 0.748763i | ||||
\(697\) | −3.84641e6 | − | 2.79458e6i | −0.299898 | − | 0.217888i | ||||
\(698\) | 5.44748e6 | − | 1.76999e6i | 0.423211 | − | 0.137510i | ||||
\(699\) | −4.57442e6 | − | 3.31491e6i | −0.354114 | − | 0.256613i | ||||
\(700\) | −3.03709e6 | + | 4.18020e6i | −0.234268 | + | 0.322442i | ||||
\(701\) | 8.70669e6 | − | 6.32578e6i | 0.669203 | − | 0.486204i | −0.200555 | − | 0.979682i | \(-0.564275\pi\) |
0.869758 | + | 0.493478i | \(0.164275\pi\) | |||||||
\(702\) | 6611.06 | + | 1.79076e6i | 0.000506324 | + | 0.137149i | ||||
\(703\) | − | 379858.i | − | 0.0289890i | ||||||
\(704\) | 7.24017e6 | + | 1.26878e6i | 0.550576 | + | 0.0964841i | ||||
\(705\) | −808304. | + | 588788.i | −0.0612494 | + | 0.0446156i | ||||
\(706\) | 4981.04 | + | 1618.44i | 0.000376104 | + | 0.000122204i | ||||
\(707\) | 1.60644e6 | + | 2.21108e6i | 0.120869 | + | 0.166362i | ||||
\(708\) | 5028.11 | + | 4.08595e6i | 0.000376983 | + | 0.306345i | ||||
\(709\) | 1.24732e6 | + | 3.83885e6i | 0.0931883 | + | 0.286804i | 0.986777 | − | 0.162082i | \(-0.0518209\pi\) |
−0.893589 | + | 0.448886i | \(0.851821\pi\) | |||||||
\(710\) | −84945.5 | − | 261435.i | −0.00632404 | − | 0.0194634i | ||||
\(711\) | −1.41608e7 | − | 1.93901e7i | −1.05054 | − | 1.43849i | ||||
\(712\) | −6.51334e6 | − | 8.96484e6i | −0.481508 | − | 0.662739i | ||||
\(713\) | −1.77210e6 | − | 575789.i | −0.130546 | − | 0.0424170i | ||||
\(714\) | −937050. | − | 1.28641e6i | −0.0687887 | − | 0.0944350i | ||||
\(715\) | −293551. | − | 2.07289e6i | −0.0214743 | − | 0.151639i | ||||
\(716\) | − | 1.91789e6i | − | 0.139811i | ||||||
\(717\) | −6.32486e6 | − | 1.93847e7i | −0.459465 | − | 1.40819i | ||||
\(718\) | −2.89087e6 | + | 2.10034e6i | −0.209275 | + | 0.152047i | ||||
\(719\) | 2.22229e6 | − | 3.05872e6i | 0.160316 | − | 0.220657i | −0.721301 | − | 0.692622i | \(-0.756455\pi\) |
0.881617 | + | 0.471966i | \(0.156455\pi\) | |||||||
\(720\) | −8256.16 | − | 3.35456e6i | −0.000593536 | − | 0.241160i | ||||
\(721\) | 8.13307e6 | − | 2.64259e6i | 0.582661 | − | 0.189318i | ||||
\(722\) | −669505. | − | 486424.i | −0.0477981 | − | 0.0347273i | ||||
\(723\) | 2.24332e7 | + | 7.25848e6i | 1.59605 | + | 0.516416i | ||||
\(724\) | 3.62096e6 | − | 1.11442e7i | 0.256731 | − | 0.790136i | ||||
\(725\) | −1.86543e7 | −1.31806 | ||||||||
\(726\) | 3.74522e6 | + | 1.34902e6i | 0.263716 | + | 0.0949899i | ||||
\(727\) | 2.30783e7 | 1.61945 | 0.809726 | − | 0.586809i | \(-0.199616\pi\) | ||||
0.809726 | + | 0.586809i | \(0.199616\pi\) | |||||||
\(728\) | 558398. | − | 1.71857e6i | 0.0390495 | − | 0.120182i | ||||
\(729\) | 4.33318e6 | − | 1.36790e7i | 0.301987 | − | 0.953312i | ||||
\(730\) | −134615. | − | 97803.4i | −0.00934944 | − | 0.00679277i | ||||
\(731\) | 1.39665e7 | − | 4.53799e6i | 0.966705 | − | 0.314101i | ||||
\(732\) | −6.51829e6 | + | 8.99492e6i | −0.449631 | + | 0.620468i | ||||
\(733\) | −3.56450e6 | + | 4.90611e6i | −0.245041 | + | 0.337270i | −0.913767 | − | 0.406239i | \(-0.866840\pi\) |
0.668726 | + | 0.743509i | \(0.266840\pi\) | |||||||
\(734\) | −1.21522e6 | + | 882908.i | −0.0832558 | + | 0.0604888i | ||||
\(735\) | 3.35603e6 | − | 1.09501e6i | 0.229143 | − | 0.0747650i | ||||
\(736\) | 1.63528e7i | 1.11275i | ||||||||
\(737\) | 3.03492e6 | + | 2.14309e7i | 0.205816 | + | 1.45336i | ||||
\(738\) | 542419. | − | 1.68348e6i | 0.0366601 | − | 0.113780i | ||||
\(739\) | 2.18721e7 | + | 7.10668e6i | 1.47326 | + | 0.478692i | 0.932092 | − | 0.362222i | \(-0.117982\pi\) |
0.541170 | + | 0.840913i | \(0.317982\pi\) | |||||||
\(740\) | 82403.8 | + | 113419.i | 0.00553182 | + | 0.00761389i | ||||
\(741\) | −6.49704e6 | + | 7995.16i | −0.434680 | + | 0.000534911i | ||||
\(742\) | 402011. | + | 1.23726e6i | 0.0268057 | + | 0.0824996i | ||||
\(743\) | −2.33070e6 | − | 7.17317e6i | −0.154887 | − | 0.476693i | 0.843262 | − | 0.537502i | \(-0.180632\pi\) |
−0.998149 | + | 0.0608088i | \(0.980632\pi\) | |||||||
\(744\) | 756880. | − | 931.404i | 0.0501296 | − | 6.16887e-5i | ||||
\(745\) | −3.23811e6 | − | 4.45688e6i | −0.213747 | − | 0.294198i | ||||
\(746\) | 862991. | + | 280403.i | 0.0567753 | + | 0.0184474i | ||||
\(747\) | −8.61470e6 | + | 2.67370e7i | −0.564857 | + | 1.75312i | ||||
\(748\) | 1.20719e7 | + | 2.11550e6i | 0.788898 | + | 0.138248i | ||||
\(749\) | − | 6.57032e6i | − | 0.427939i | ||||||
\(750\) | 2.44389e6 | − | 797393.i | 0.158646 | − | 0.0517630i | ||||
\(751\) | −5.30255e6 | + | 3.85253e6i | −0.343071 | + | 0.249256i | −0.745957 | − | 0.665995i | \(-0.768007\pi\) |
0.402885 | + | 0.915251i | \(0.368007\pi\) | |||||||
\(752\) | 1.70019e6 | − | 2.34011e6i | 0.109636 | − | 0.150901i | ||||
\(753\) | 1.66251e7 | − | 2.29418e7i | 1.06851 | − | 1.47448i | ||||
\(754\) | 2.97540e6 | − | 966766.i | 0.190597 | − | 0.0619289i | ||||
\(755\) | 2.34342e6 | + | 1.70259e6i | 0.149617 | + | 0.108703i | ||||
\(756\) | −4.06052e6 | + | 5.63244e6i | −0.258391 | + | 0.358420i | ||||
\(757\) | 2.25280e6 | − | 6.93341e6i | 0.142884 | − | 0.439751i | −0.853849 | − | 0.520521i | \(-0.825738\pi\) |
0.996733 | + | 0.0807695i | \(0.0257378\pi\) | |||||||
\(758\) | −3.25483e6 | −0.205757 | ||||||||
\(759\) | 4.01169e6 | − | 2.30591e7i | 0.252768 | − | 1.45291i | ||||
\(760\) | −2.38472e6 | −0.149762 | ||||||||
\(761\) | 3.22162e6 | − | 9.91514e6i | 0.201657 | − | 0.620636i | −0.798177 | − | 0.602423i | \(-0.794202\pi\) |
0.999834 | − | 0.0182135i | \(-0.00579785\pi\) | |||||||
\(762\) | 4.80882e6 | + | 1.55594e6i | 0.300021 | + | 0.0970746i | ||||
\(763\) | −1.02447e7 | − | 7.44324e6i | −0.637074 | − | 0.462861i | ||||
\(764\) | −8.77671e6 | + | 2.85173e6i | −0.544000 | + | 0.176756i | ||||
\(765\) | −10838.6 | − | 4.40384e6i | −0.000669607 | − | 0.272068i | ||||
\(766\) | −2.49226e6 | + | 3.43030e6i | −0.153469 | + | 0.211232i | ||||
\(767\) | −2.14420e6 | + | 1.55785e6i | −0.131606 | + | 0.0956175i | ||||
\(768\) | 1.53906e6 | + | 4.71697e6i | 0.0941568 | + | 0.288576i | ||||
\(769\) | − | 9.15350e6i | − | 0.558176i | −0.960266 | − | 0.279088i | \(-0.909968\pi\) | ||
0.960266 | − | 0.279088i | \(-0.0900321\pi\) | |||||||
\(770\) | −324314. | + | 611498.i | −0.0197124 | + | 0.0371679i | ||||
\(771\) | −14132.7 | − | 19401.7i | −0.000856228 | − | 0.00117545i | ||||
\(772\) | −1.26577e7 | − | 4.11272e6i | −0.764381 | − | 0.248363i | ||||
\(773\) | 6.61180e6 | + | 9.10036e6i | 0.397989 | + | 0.547785i | 0.960238 | − | 0.279183i | \(-0.0900638\pi\) |
−0.562249 | + | 0.826968i | \(0.690064\pi\) | |||||||
\(774\) | 3.22200e6 | + | 4.41183e6i | 0.193318 | + | 0.264707i | ||||
\(775\) | −433811. | − | 1.33513e6i | −0.0259445 | − | 0.0798491i | ||||
\(776\) | −508571. | − | 1.56522e6i | −0.0303178 | − | 0.0933085i | ||||
\(777\) | −324.047 | − | 263328.i | −1.92556e−5 | − | 0.0156475i | ||||
\(778\) | 4.74257e6 | + | 6.52759e6i | 0.280908 | + | 0.386637i | ||||
\(779\) | 6.10293e6 | + | 1.98296e6i | 0.360325 | + | 0.117077i | ||||
\(780\) | 1.93817e6 | − | 1.41181e6i | 0.114066 | − | 0.0830883i | ||||
\(781\) | −1.74678e6 | − | 3.57189e6i | −0.102473 | − | 0.209542i | ||||
\(782\) | 6.14444e6i | 0.359307i | ||||||||
\(783\) | −2.50678e7 | + | 92544.3i | −1.46120 | + | 0.00539443i | ||||
\(784\) | −8.26082e6 | + | 6.00184e6i | −0.479991 | + | 0.348734i | ||||
\(785\) | 4.29615e6 | − | 5.91314e6i | 0.248831 | − | 0.342487i | ||||
\(786\) | −7.15894e6 | − | 5.18782e6i | −0.413325 | − | 0.299522i | ||||
\(787\) | −3.18087e6 | + | 1.03353e6i | −0.183067 | + | 0.0594820i | −0.399116 | − | 0.916901i | \(-0.630683\pi\) |
0.216049 | + | 0.976382i | \(0.430683\pi\) | |||||||
\(788\) | −9.64299e6 | − | 7.00605e6i | −0.553218 | − | 0.401936i | ||||
\(789\) | −7.17685e6 | + | 2.21809e7i | −0.410432 | + | 1.26849i | ||||
\(790\) | 847142. | − | 2.60723e6i | 0.0482935 | − | 0.148632i | ||||
\(791\) | 4.67339e6 | 0.265577 | ||||||||
\(792\) | 1.35625e6 | + | 9.41021e6i | 0.0768293 | + | 0.533073i | ||||
\(793\) | −7.20552e6 | −0.406895 | ||||||||
\(794\) | −1.85122e6 | + | 5.69746e6i | −0.104209 | + | 0.320723i | ||||
\(795\) | −1.10819e6 | + | 3.42498e6i | −0.0621863 | + | 0.192194i | ||||
\(796\) | −7.00697e6 | − | 5.09086e6i | −0.391965 | − | 0.284779i | ||||
\(797\) | −1.06049e6 | + | 344575.i | −0.0591374 | + | 0.0192149i | −0.338436 | − | 0.940989i | \(-0.609898\pi\) |
0.279299 | + | 0.960204i | \(0.409898\pi\) | |||||||
\(798\) | 1.73936e6 | + | 1.26045e6i | 0.0966902 | + | 0.0700679i | ||||
\(799\) | 2.23199e6 | − | 3.07207e6i | 0.123687 | − | 0.170241i | ||||
\(800\) | −9.96751e6 | + | 7.24182e6i | −0.550632 | + | 0.400058i | ||||
\(801\) | −1.61793e7 | + | 2.23845e7i | −0.891001 | + | 1.23273i | ||||
\(802\) | − | 3.32315e6i | − | 0.182437i | ||||||
\(803\) | −2.12626e6 | − | 1.12768e6i | −0.116366 | − | 0.0617160i | ||||
\(804\) | −2.00381e7 | + | 1.45962e7i | −1.09324 | + | 0.796343i | ||||
\(805\) | 3.87056e6 | + | 1.25762e6i | 0.210515 | + | 0.0684006i | ||||
\(806\) | 138388. | + | 190474.i | 0.00750343 | + | 0.0103276i | ||||
\(807\) | −23068.7 | − | 1.87461e7i | −0.00124692 | − | 1.01328i | ||||
\(808\) | 1.32449e6 | + | 4.07635e6i | 0.0713706 | + | 0.219656i | ||||
\(809\) | 1.11307e6 | + | 3.42567e6i | 0.0597930 | + | 0.184024i | 0.976492 | − | 0.215555i | \(-0.0691562\pi\) |
−0.916699 | + | 0.399579i | \(0.869156\pi\) | |||||||
\(810\) | 1.55560e6 | − | 513923.i | 0.0833076 | − | 0.0275224i | ||||
\(811\) | −5.29163e6 | − | 7.28330e6i | −0.282512 | − | 0.388845i | 0.644052 | − | 0.764982i | \(-0.277252\pi\) |
−0.926564 | + | 0.376137i | \(0.877252\pi\) | |||||||
\(812\) | 1.15368e7 | + | 3.74853e6i | 0.614037 | + | 0.199513i | ||||
\(813\) | 7.58785e6 | + | 1.04168e7i | 0.402618 | + | 0.552724i | ||||
\(814\) | −120244. | − | 124255.i | −0.00636068 | − | 0.00657282i | ||||
\(815\) | 6.45104e6i | 0.340201i | ||||||||
\(816\) | 3.95120e6 | + | 1.21098e7i | 0.207732 | + | 0.636667i | ||||
\(817\) | −1.60352e7 | + | 1.16502e7i | −0.840462 | + | 0.610631i | ||||
\(818\) | 2.98285e6 | − | 4.10554e6i | 0.155865 | − | 0.214530i | ||||
\(819\) | −4.50392e6 | + | 11084.9i | −0.234629 | + | 0.000577462i | ||||
\(820\) | −2.25240e6 | + | 731849.i | −0.116980 | + | 0.0380090i | ||||
\(821\) | 1.75947e7 | + | 1.27833e7i | 0.911013 | + | 0.661890i | 0.941271 | − | 0.337652i | \(-0.109633\pi\) |
−0.0302578 | + | 0.999542i | \(0.509633\pi\) | |||||||
\(822\) | 8.47584e6 | + | 2.74244e6i | 0.437525 | + | 0.141566i | ||||
\(823\) | 330831. | − | 1.01819e6i | 0.0170258 | − | 0.0523999i | −0.942183 | − | 0.335100i | \(-0.891230\pi\) |
0.959208 | + | 0.282700i | \(0.0912300\pi\) | |||||||
\(824\) | 1.34112e7 | 0.688096 | ||||||||
\(825\) | 1.58318e7 | − | 7.76646e6i | 0.809832 | − | 0.397272i | ||||
\(826\) | 876265. | 0.0446874 | ||||||||
\(827\) | 583690. | − | 1.79641e6i | 0.0296769 | − | 0.0913360i | −0.935121 | − | 0.354329i | \(-0.884709\pi\) |
0.964798 | + | 0.262993i | \(0.0847095\pi\) | |||||||
\(828\) | 2.54747e7 | − | 8.34660e6i | 1.29132 | − | 0.423091i | ||||
\(829\) | 1.28665e7 | + | 9.34806e6i | 0.650241 | + | 0.472428i | 0.863353 | − | 0.504600i | \(-0.168360\pi\) |
−0.213112 | + | 0.977028i | \(0.568360\pi\) | |||||||
\(830\) | −3.05028e6 | + | 991097.i | −0.153690 | + | 0.0499368i | ||||
\(831\) | −4.52021e6 | + | 6.23766e6i | −0.227068 | + | 0.313342i | ||||
\(832\) | −3.20984e6 | + | 4.41796e6i | −0.160759 | + | 0.221266i | ||||
\(833\) | −1.08447e7 | + | 7.87916e6i | −0.541510 | + | 0.393430i | ||||
\(834\) | −3.78655e6 | + | 1.23548e6i | −0.188508 | + | 0.0615064i | ||||
\(835\) | − | 6.52813e6i | − | 0.324020i | ||||||
\(836\) | −1.63782e7 | + | 2.31938e6i | −0.810495 | + | 0.114777i | ||||
\(837\) | −589582. | − | 1.79201e6i | −0.0290891 | − | 0.0884151i | ||||
\(838\) | −7.12822e6 | − | 2.31610e6i | −0.350648 | − | 0.113932i | ||||
\(839\) | −1.39202e7 | − | 1.91595e7i | −0.682715 | − | 0.939676i | 0.317248 | − | 0.948343i | \(-0.397241\pi\) |
−0.999962 | + | 0.00866658i | \(0.997241\pi\) | |||||||
\(840\) | −1.65315e6 | + | 2034.34i | −0.0808378 | + | 9.94778e-5i | ||||
\(841\) | 7.19490e6 | + | 2.21436e7i | 0.350780 | + | 1.07959i | ||||
\(842\) | −1.49289e6 | − | 4.59463e6i | −0.0725682 | − | 0.223342i | ||||
\(843\) | 3.24866e7 | − | 39977.5i | 1.57447 | − | 0.00193752i | ||||
\(844\) | −5.43537e6 | − | 7.48114e6i | −0.262647 | − | 0.361503i | ||||
\(845\) | −4.69950e6 | − | 1.52696e6i | −0.226417 | − | 0.0735675i | ||||
\(846\) | 1.34457e6 | + | 433223.i | 0.0645890 | + | 0.0208106i | ||||
\(847\) | −3.40449e6 | + | 9.41537e6i | −0.163059 | + | 0.450951i | ||||
\(848\) | − | 1.04124e7i | − | 0.497234i | ||||||
\(849\) | 1.42127e7 | − | 4.63733e6i | 0.676718 | − | 0.220800i | ||||
\(850\) | −3.74522e6 | + | 2.72106e6i | −0.177799 | + | 0.129179i | ||||
\(851\) | −597570. | + | 822485.i | −0.0282856 | + | 0.0389318i | ||||
\(852\) | 2.67225e6 | − | 3.68757e6i | 0.126118 | − | 0.174037i | ||||
\(853\) | 2.18905e7 | − | 7.11264e6i | 1.03011 | − | 0.334702i | 0.255274 | − | 0.966869i | \(-0.417834\pi\) |
0.774832 | + | 0.632167i | \(0.217834\pi\) | |||||||
\(854\) | 1.92731e6 | + | 1.40027e6i | 0.0904287 | + | 0.0657003i | ||||
\(855\) | 1.85066e6 | + | 5.64839e6i | 0.0865786 | + | 0.264247i | ||||
\(856\) | 3.18411e6 | − | 9.79968e6i | 0.148526 | − | 0.457117i | ||||
\(857\) | −2.55550e7 | −1.18857 | −0.594285 | − | 0.804255i | \(-0.702565\pi\) | ||||
−0.594285 | + | 0.804255i | \(0.702565\pi\) | |||||||
\(858\) | −2.12270e6 | + | 2.05926e6i | −0.0984400 | + | 0.0954976i | ||||
\(859\) | 1.93483e7 | 0.894665 | 0.447332 | − | 0.894368i | \(-0.352374\pi\) | ||||
0.447332 | + | 0.894368i | \(0.352374\pi\) | |||||||
\(860\) | 2.26050e6 | − | 6.95711e6i | 0.104222 | − | 0.320762i | ||||
\(861\) | 4.23241e6 | + | 1.36944e6i | 0.194572 | + | 0.0629556i | ||||
\(862\) | 4.01772e6 | + | 2.91905e6i | 0.184167 | + | 0.133805i | ||||
\(863\) | −1.82861e7 | + | 5.94150e6i | −0.835782 | + | 0.271562i | −0.695479 | − | 0.718547i | \(-0.744808\pi\) |
−0.140303 | + | 0.990109i | \(0.544808\pi\) | |||||||
\(864\) | −1.33585e7 | + | 9.78105e6i | −0.608797 | + | 0.445760i | ||||
\(865\) | −5.52435e6 | + | 7.60362e6i | −0.251039 | + | 0.345526i | ||||
\(866\) | 9.09994e6 | − | 6.61149e6i | 0.412329 | − | 0.299574i | ||||
\(867\) | −1.67839e6 | − | 5.14401e6i | −0.0758308 | − | 0.232410i | ||||
\(868\) | 912888.i | 0.0411262i | ||||||||
\(869\) | 6.84458e6 | − | 3.90579e7i | 0.307466 | − | 1.75452i | ||||
\(870\) | −1.68517e6 | − | 2.31345e6i | −0.0754825 | − | 0.103624i | ||||
\(871\) | −1.52935e7 | − | 4.96916e6i | −0.683064 | − | 0.221941i | ||||
\(872\) | −1.16730e7 | − | 1.60665e7i | −0.519865 | − | 0.715532i | ||||
\(873\) | −3.31267e6 | + | 2.41928e6i | −0.147110 | + | 0.107436i | ||||
\(874\) | −2.56271e6 | − | 7.88721e6i | −0.113480 | − | 0.349257i | ||||
\(875\) | 1.99795e6 | + | 6.14904e6i | 0.0882193 | + | 0.271511i | ||||
\(876\) | −3392.22 | − | 2.75659e6i | −0.000149356 | − | 0.121370i | ||||
\(877\) | −1.27114e7 | − | 1.74957e7i | −0.558077 | − | 0.768127i | 0.433003 | − | 0.901392i | \(-0.357454\pi\) |
−0.991080 | + | 0.133265i | \(0.957454\pi\) | |||||||
\(878\) | −1.13443e7 | − | 3.68599e6i | −0.496640 | − | 0.161368i | ||||
\(879\) | 1.26161e7 | − | 9.18990e6i | 0.550749 | − | 0.401179i | ||||
\(880\) | 3.98112e6 | − | 3.85263e6i | 0.173300 | − | 0.167707i | ||||
\(881\) | 2.90152e6i | 0.125946i | 0.998015 | + | 0.0629732i | \(0.0200583\pi\) | ||||
−0.998015 | + | 0.0629732i | \(0.979942\pi\) | |||||||
\(882\) | −4.04158e6 | − | 2.92121e6i | −0.174936 | − | 0.126442i | ||||
\(883\) | 9.63225e6 | − | 6.99824e6i | 0.415744 | − | 0.302056i | −0.360179 | − | 0.932883i | \(-0.617284\pi\) |
0.775923 | + | 0.630827i | \(0.217284\pi\) | |||||||
\(884\) | −5.35192e6 | + | 7.36628e6i | −0.230345 | + | 0.317043i | ||||
\(885\) | 1.96338e6 | + | 1.42279e6i | 0.0842647 | + | 0.0610636i | ||||
\(886\) | 1.95715e6 | − | 635916.i | 0.0837605 | − | 0.0272154i | ||||
\(887\) | −4.14741e6 | − | 3.01327e6i | −0.176998 | − | 0.128597i | 0.495759 | − | 0.868460i | \(-0.334890\pi\) |
−0.672757 | + | 0.739864i | \(0.734890\pi\) | |||||||
\(888\) | 127131. | − | 392913.i | 0.00541026 | − | 0.0167211i | ||||
\(889\) | −3.92820e6 | + | 1.20898e7i | −0.166701 | + | 0.513054i | ||||
\(890\) | −3.15347e6 | −0.133448 | ||||||||
\(891\) | 2.12363e7 | − | 1.05152e7i | 0.896159 | − | 0.443733i | ||||
\(892\) | 2.10362e7 | 0.885227 | ||||||||
\(893\) | −1.58376e6 | + | 4.87433e6i | −0.0664603 | + | 0.204544i | ||||
\(894\) | −2.39571e6 | + | 7.40421e6i | −0.100251 | + | 0.309838i | ||||
\(895\) | −920762. | − | 668973.i | −0.0384229 | − | 0.0279158i | ||||
\(896\) | 9.98648e6 | − | 3.24480e6i | 0.415568 | − | 0.135026i | ||||
\(897\) | 1.40803e7 | + | 1.02035e7i | 0.584291 | + | 0.423415i | ||||
\(898\) | 938771. | − | 1.29211e6i | 0.0388480 | − | 0.0534697i | ||||
\(899\) | −2.66634e6 | + | 1.93721e6i | −0.110031 | + | 0.0799423i | ||||
\(900\) | 1.63690e7 | + | 1.18313e7i | 0.673619 | + | 0.486885i | ||||
\(901\) | − | 1.36693e7i | − | 0.560963i | ||||||
\(902\) | 2.62403e6 | − | 1.28324e6i | 0.107387 | − | 0.0525161i | ||||
\(903\) | −1.11061e7 | + | 8.08994e6i | −0.453254 | + | 0.330161i | ||||
\(904\) | 6.97040e6 | + | 2.26482e6i | 0.283685 | + | 0.0921749i | ||||
\(905\) | −4.08720e6 | − | 5.62554e6i | −0.165884 | − | 0.228320i | ||||
\(906\) | −5035.35 | − | 4.09183e6i | −0.000203802 | − | 0.165614i | ||||
\(907\) | 8.42725e6 | + | 2.59364e7i | 0.340148 | + | 1.04687i | 0.964130 | + | 0.265429i | \(0.0855136\pi\) |
−0.623983 | + | 0.781438i | \(0.714486\pi\) | |||||||
\(908\) | −1.02950e7 | − | 3.16847e7i | −0.414392 | − | 1.27537i | ||||
\(909\) | 8.62730e6 | − | 6.30060e6i | 0.346310 | − | 0.252914i | ||||
\(910\) | −302262. | − | 416028.i | −0.0120998 | − | 0.0166540i | ||||
\(911\) | −1.30854e7 | − | 4.25170e6i | −0.522385 | − | 0.169733i | 0.0359422 | − | 0.999354i | \(-0.488557\pi\) |
−0.558328 | + | 0.829621i | \(0.688557\pi\) | |||||||
\(912\) | −1.01226e7 | − | 1.38966e7i | −0.403001 | − | 0.553250i | ||||
\(913\) | −4.16748e7 | + | 2.03805e7i | −1.65461 | + | 0.809165i | ||||
\(914\) | 701801.i | 0.0277874i | ||||||||
\(915\) | 2.04475e6 | + | 6.26685e6i | 0.0807398 | + | 0.247455i | ||||
\(916\) | 1.37232e6 | − | 997046.i | 0.0540400 | − | 0.0392624i | ||||
\(917\) | 1.30700e7 | − | 1.79893e7i | 0.513276 | − | 0.706464i | ||||
\(918\) | −5.01935e6 | + | 3.67516e6i | −0.196581 | + | 0.143936i | ||||
\(919\) | 5.16870e6 | − | 1.67941e6i | 0.201880 | − | 0.0655947i | −0.206332 | − | 0.978482i | \(-0.566153\pi\) |
0.408211 | + | 0.912887i | \(0.366153\pi\) | |||||||
\(920\) | 5.16349e6 | + | 3.75150e6i | 0.201129 | + | 0.146129i | ||||
\(921\) | 2.06357e7 | + | 6.67689e6i | 0.801624 | + | 0.259373i | ||||
\(922\) | 2.42310e6 | − | 7.45754e6i | 0.0938738 | − | 0.288914i | ||||
\(923\) | 2.95399e6 | 0.114131 | ||||||||
\(924\) | −1.13518e7 | + | 1.62183e6i | −0.437408 | + | 0.0624922i | ||||
\(925\) | −765962. | −0.0294343 | ||||||||
\(926\) | −1.65276e6 | + | 5.08667e6i | −0.0633405 | + | 0.194942i | ||||
\(927\) | −1.04077e7 | − | 3.17655e7i | −0.397793 | − | 1.21410i | ||||
\(928\) | 2.34005e7 | + | 1.70015e7i | 0.891982 | + | 0.648063i | ||||
\(929\) | −4.18019e6 | + | 1.35823e6i | −0.158912 | + | 0.0516337i | −0.387393 | − | 0.921915i | \(-0.626624\pi\) |
0.228481 | + | 0.973548i | \(0.426624\pi\) | |||||||
\(930\) | 126390. | − | 174412.i | 0.00479187 | − | 0.00661254i | ||||
\(931\) | 1.06344e7 | − | 1.46370e7i | 0.402106 | − | 0.553451i | ||||
\(932\) | 8.64485e6 | − | 6.28085e6i | 0.326000 | − | 0.236853i | ||||
\(933\) | −1.62836e6 | + | 531302.i | −0.0612415 | + | 0.0199819i | ||||
\(934\) | − | 6.96421e6i | − | 0.261219i | ||||||
\(935\) | 5.22638e6 | − | 5.05769e6i | 0.195511 | − | 0.189201i | ||||
\(936\) | −6.72301e6 | − | 2.16616e6i | −0.250827 | − | 0.0808166i | ||||
\(937\) | 1.06400e7 | + | 3.45715e6i | 0.395907 | + | 0.128638i | 0.500203 | − | 0.865908i | \(-0.333259\pi\) |
−0.104296 | + | 0.994546i | \(0.533259\pi\) | |||||||
\(938\) | 3.12498e6 | + | 4.30117e6i | 0.115969 | + | 0.159617i | ||||
\(939\) | −3.22349e7 | + | 39667.8i | −1.19306 | + | 0.00146816i | ||||
\(940\) | −584518. | − | 1.79896e6i | −0.0215764 | − | 0.0664052i | ||||
\(941\) | 8.90923e6 | + | 2.74198e7i | 0.327994 | + | 1.00946i | 0.970071 | + | 0.242822i | \(0.0780731\pi\) |
−0.642077 | + | 0.766641i | \(0.721927\pi\) | |||||||
\(942\) | −1.03249e7 | + | 12705.7i | −0.379104 | + | 0.000466520i | ||||
\(943\) | −1.00948e7 | − | 1.38944e7i | −0.369675 | − | 0.508815i | ||||
\(944\) | −6.67018e6 | − | 2.16727e6i | −0.243617 | − | 0.0791559i | ||||
\(945\) | 1.28775e6 | + | 3.91405e6i | 0.0469084 | + | 0.142576i | ||||
\(946\) | −1.55735e6 | + | 8.88682e6i | −0.0565793 | + | 0.322863i | ||||
\(947\) | 1.13620e7i | 0.411700i | 0.978584 | + | 0.205850i | \(0.0659958\pi\) | ||||
−0.978584 | + | 0.205850i | \(0.934004\pi\) | |||||||
\(948\) | 4.31761e7 | − | 1.40875e7i | 1.56035 | − | 0.509112i | ||||
\(949\) | 1.44658e6 | − | 1.05100e6i | 0.0521408 | − | 0.0378825i | ||||
\(950\) | 3.67259e6 | − | 5.05489e6i | 0.132027 | − | 0.181720i | ||||
\(951\) | −1.71006e7 | + | 2.35980e7i | −0.613141 | + | 0.846104i | ||||
\(952\) | 5.97018e6 | − | 1.93983e6i | 0.213499 | − | 0.0693699i | ||||
\(953\) | 1.04876e7 | + | 7.61966e6i | 0.374061 | + | 0.271771i | 0.758893 | − | 0.651215i | \(-0.225741\pi\) |
−0.384832 | + | 0.922987i | \(0.625741\pi\) | |||||||
\(954\) | 4.83239e6 | − | 1.58330e6i | 0.171906 | − | 0.0563238i | ||||
\(955\) | −1.69228e6 | + | 5.20831e6i | −0.0600433 | + | 0.184794i | ||||
\(956\) | 3.85688e7 | 1.36487 | ||||||||
\(957\) | −2.88263e7 | − | 2.97145e7i | −1.01744 | − | 1.04879i | ||||
\(958\) | −7.85447e6 | −0.276505 | ||||||||
\(959\) | −6.92370e6 | + | 2.13089e7i | −0.243104 | + | 0.748196i | ||||
\(960\) | 4.75331e6 | + | 1.53798e6i | 0.166463 | + | 0.0538607i | ||||
\(961\) | 2.29608e7 | + | 1.66820e7i | 0.802008 | + | 0.582693i | ||||
\(962\) | 122173. | − | 39696.3i | 0.00425634 | − | 0.00138297i | ||||
\(963\) | −2.56823e7 | + | 63208.7i | −0.892419 | + | 0.00219640i | ||||
\(964\) | −2.62144e7 | + | 3.60810e7i | −0.908547 | + | 1.25051i | ||||
\(965\) | −6.38954e6 | + | 4.64227e6i | −0.220877 | + | 0.160477i | ||||
\(966\) | −1.78327e6 | − | 5.46545e6i | −0.0614857 | − | 0.188444i | ||||
\(967\) | − | 4.61909e7i | − | 1.58851i | −0.607585 | − | 0.794255i | \(-0.707862\pi\) | ||
0.607585 | − | 0.794255i | \(-0.292138\pi\) | |||||||
\(968\) | −9.64070e6 | + | 1.23932e7i | −0.330689 | + | 0.425104i | ||||
\(969\) | −1.32889e7 | − | 1.82433e7i | −0.454652 | − | 0.624158i | ||||
\(970\) | −445429. | − | 144729.i | −0.0152002 | − | 0.00493884i | ||||
\(971\) | 2.43519e7 | + | 3.35175e7i | 0.828868 | + | 1.14084i | 0.988133 | + | 0.153602i | \(0.0490875\pi\) |
−0.159265 | + | 0.987236i | \(0.550912\pi\) | |||||||
\(972\) | 2.20554e7 | + | 1.58178e7i | 0.748772 | + | 0.537007i | ||||
\(973\) | −3.09561e6 | − | 9.52731e6i | −0.104825 | − | 0.322618i | ||||
\(974\) | −3.75195e6 | − | 1.15473e7i | −0.126724 | − | 0.390017i | ||||
\(975\) | 16121.8 | + | 1.31009e7i | 0.000543127 | + | 0.441357i | ||||
\(976\) | −1.12075e7 | − | 1.54258e7i | −0.376603 | − | 0.518349i | ||||
\(977\) | 9.36872e6 | + | 3.04408e6i | 0.314010 | + | 0.102028i | 0.461782 | − | 0.886993i | \(-0.347210\pi\) |
−0.147772 | + | 0.989021i | \(0.547210\pi\) | |||||||
\(978\) | 7.36589e6 | − | 5.36549e6i | 0.246251 | − | 0.179375i | ||||
\(979\) | −4.51626e7 | + | 6.39566e6i | −1.50599 | + | 0.213270i | ||||
\(980\) | 6.67733e6i | 0.222094i | ||||||||
\(981\) | −2.89959e7 | + | 4.01167e7i | −0.961976 | + | 1.33092i | ||||
\(982\) | −12228.6 | + | 8884.60i | −0.000404667 | + | 0.000294008i | ||||
\(983\) | −3.40815e7 | + | 4.69092e7i | −1.12496 | + | 1.54837i | −0.327642 | + | 0.944802i | \(0.606254\pi\) |
−0.797313 | + | 0.603566i | \(0.793746\pi\) | |||||||
\(984\) | 5.64902e6 | + | 4.09364e6i | 0.185988 | + | 0.134779i | ||||
\(985\) | −6.72707e6 | + | 2.18576e6i | −0.220920 | + | 0.0717813i | ||||
\(986\) | 8.79258e6 | + | 6.38818e6i | 0.288021 | + | 0.209259i | ||||
\(987\) | −1.09375e6 | + | 3.38037e6i | −0.0357376 | + | 0.110451i | ||||
\(988\) | 3.79759e6 | − | 1.16878e7i | 0.123770 | − | 0.380925i | ||||
\(989\) | 5.30475e7 | 1.72454 | ||||||||
\(990\) | 2.39337e6 | + | 1.26181e6i | 0.0776107 | + | 0.0409172i | ||||
\(991\) | −3.97657e7 | −1.28625 | −0.643123 | − | 0.765763i | \(-0.722362\pi\) | ||||
−0.643123 | + | 0.765763i | \(0.722362\pi\) | |||||||
\(992\) | −672651. | + | 2.07021e6i | −0.0217026 | + | 0.0667936i | ||||
\(993\) | −9.62531e6 | + | 2.97482e7i | −0.309772 | + | 0.957386i | ||||
\(994\) | −790123. | − | 574058.i | −0.0253646 | − | 0.0184285i | ||||
\(995\) | −4.88814e6 | + | 1.58825e6i | −0.156526 | + | 0.0508583i | ||||
\(996\) | −4.30245e7 | − | 3.11783e7i | −1.37426 | − | 0.995874i | ||||
\(997\) | 2.97642e7 | − | 4.09670e7i | 0.948324 | − | 1.30526i | −0.00394335 | − | 0.999992i | \(-0.501255\pi\) |
0.952268 | − | 0.305264i | \(-0.0987448\pi\) | |||||||
\(998\) | 5.55006e6 | − | 4.03235e6i | 0.176389 | − | 0.128154i | ||||
\(999\) | −1.02931e6 | + | 3799.96i | −0.0326310 | + | 0.000120466i |
(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 | 33.6.f.a.2.10 | yes | 72 | |
3.2 | odd | 2 | inner | 33.6.f.a.2.9 | ✓ | 72 | |
11.6 | odd | 10 | inner | 33.6.f.a.17.9 | yes | 72 | |
33.17 | even | 10 | inner | 33.6.f.a.17.10 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.6.f.a.2.9 | ✓ | 72 | 3.2 | odd | 2 | inner | |
33.6.f.a.2.10 | yes | 72 | 1.1 | even | 1 | trivial | |
33.6.f.a.17.9 | yes | 72 | 11.6 | odd | 10 | inner | |
33.6.f.a.17.10 | yes | 72 | 33.17 | even | 10 | inner |