Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,5,Mod(3,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.3");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.h (of order \(42\), degree \(12\), 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: | \(4.44490841261\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 5.2 | ||
Character | \(\chi\) | \(=\) | 43.5 |
Dual form | 43.5.h.a.26.2 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{25}{42}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −6.62097 | − | 1.51119i | −1.65524 | − | 0.377798i | −0.710008 | − | 0.704193i | \(-0.751309\pi\) |
−0.945233 | + | 0.326395i | \(0.894166\pi\) | |||||||
\(3\) | −2.79970 | + | 9.07640i | −0.311078 | + | 1.00849i | 0.656161 | + | 0.754621i | \(0.272179\pi\) |
−0.967239 | + | 0.253868i | \(0.918297\pi\) | |||||||
\(4\) | 27.1380 | + | 13.0690i | 1.69613 | + | 0.816811i | ||||
\(5\) | 20.2385 | − | 7.94303i | 0.809540 | − | 0.317721i | 0.0757757 | − | 0.997125i | \(-0.475857\pi\) |
0.733765 | + | 0.679404i | \(0.237761\pi\) | |||||||
\(6\) | 32.2529 | − | 55.8637i | 0.895914 | − | 1.55177i | ||||
\(7\) | −41.2058 | + | 23.7902i | −0.840934 | + | 0.485513i | −0.857582 | − | 0.514348i | \(-0.828034\pi\) |
0.0166476 | + | 0.999861i | \(0.494701\pi\) | |||||||
\(8\) | −74.9765 | − | 59.7917i | −1.17151 | − | 0.934246i | ||||
\(9\) | −7.61736 | − | 5.19343i | −0.0940414 | − | 0.0641164i | ||||
\(10\) | −146.002 | + | 22.0063i | −1.46002 | + | 0.220063i | ||||
\(11\) | −69.9733 | + | 33.6974i | −0.578292 | + | 0.278491i | −0.700079 | − | 0.714066i | \(-0.746852\pi\) |
0.121787 | + | 0.992556i | \(0.461137\pi\) | |||||||
\(12\) | −194.597 | + | 209.726i | −1.35137 | + | 1.45643i | ||||
\(13\) | −251.315 | − | 37.8796i | −1.48707 | − | 0.224139i | −0.645280 | − | 0.763947i | \(-0.723259\pi\) |
−0.841789 | + | 0.539807i | \(0.818497\pi\) | |||||||
\(14\) | 308.774 | − | 95.2440i | 1.57538 | − | 0.485939i | ||||
\(15\) | 15.4324 | + | 205.931i | 0.0685884 | + | 0.915248i | ||||
\(16\) | 105.579 | + | 132.391i | 0.412416 | + | 0.517154i | ||||
\(17\) | 44.1311 | − | 112.444i | 0.152703 | − | 0.389081i | −0.833967 | − | 0.551814i | \(-0.813936\pi\) |
0.986670 | + | 0.162733i | \(0.0520310\pi\) | |||||||
\(18\) | 42.5860 | + | 45.8968i | 0.131438 | + | 0.141657i | ||||
\(19\) | −306.723 | − | 449.880i | −0.849647 | − | 1.24620i | −0.967424 | − | 0.253163i | \(-0.918529\pi\) |
0.117776 | − | 0.993040i | \(-0.462423\pi\) | |||||||
\(20\) | 653.040 | + | 48.9386i | 1.63260 | + | 0.122346i | ||||
\(21\) | −100.565 | − | 440.605i | −0.228039 | − | 0.999105i | ||||
\(22\) | 514.214 | − | 117.366i | 1.06243 | − | 0.242492i | ||||
\(23\) | −37.4804 | + | 500.141i | −0.0708515 | + | 0.945447i | 0.842611 | + | 0.538523i | \(0.181018\pi\) |
−0.913462 | + | 0.406924i | \(0.866601\pi\) | |||||||
\(24\) | 752.605 | − | 513.117i | 1.30661 | − | 0.890829i | ||||
\(25\) | −111.652 | + | 103.598i | −0.178643 | + | 0.165756i | ||||
\(26\) | 1606.70 | + | 630.584i | 2.37678 | + | 0.932817i | ||||
\(27\) | −533.053 | + | 425.096i | −0.731211 | + | 0.583122i | ||||
\(28\) | −1429.16 | + | 107.100i | −1.82290 | + | 0.136608i | ||||
\(29\) | −220.387 | − | 714.476i | −0.262053 | − | 0.849555i | −0.986996 | − | 0.160746i | \(-0.948610\pi\) |
0.724943 | − | 0.688809i | \(-0.241866\pi\) | |||||||
\(30\) | 209.024 | − | 1386.78i | 0.232249 | − | 1.54087i | ||||
\(31\) | 998.602 | + | 926.567i | 1.03913 | + | 0.964170i | 0.999386 | − | 0.0350405i | \(-0.0111560\pi\) |
0.0397417 | + | 0.999210i | \(0.487346\pi\) | |||||||
\(32\) | 166.777 | + | 346.316i | 0.162868 | + | 0.338200i | ||||
\(33\) | −109.947 | − | 729.448i | −0.100961 | − | 0.669833i | ||||
\(34\) | −462.116 | + | 677.800i | −0.399754 | + | 0.586332i | ||||
\(35\) | −644.977 | + | 808.776i | −0.526512 | + | 0.660225i | ||||
\(36\) | −138.847 | − | 240.490i | −0.107135 | − | 0.185563i | ||||
\(37\) | −1559.48 | − | 900.368i | −1.13914 | − | 0.657683i | −0.192923 | − | 0.981214i | \(-0.561797\pi\) |
−0.946218 | + | 0.323531i | \(0.895130\pi\) | |||||||
\(38\) | 1350.95 | + | 3442.15i | 0.935558 | + | 2.38376i | ||||
\(39\) | 1047.41 | − | 2174.98i | 0.688636 | − | 1.42997i | ||||
\(40\) | −1992.34 | − | 614.555i | −1.24521 | − | 0.384097i | ||||
\(41\) | 116.774 | − | 511.619i | 0.0694667 | − | 0.304354i | −0.928245 | − | 0.371970i | \(-0.878682\pi\) |
0.997711 | + | 0.0676166i | \(0.0215395\pi\) | |||||||
\(42\) | 3069.21i | 1.73991i | ||||||||
\(43\) | −1821.35 | + | 318.555i | −0.985047 | + | 0.172285i | ||||
\(44\) | −2339.33 | −1.20833 | ||||||||
\(45\) | −195.415 | − | 44.6023i | −0.0965015 | − | 0.0220258i | ||||
\(46\) | 1003.97 | − | 3254.78i | 0.474464 | − | 1.53818i | ||||
\(47\) | −651.945 | − | 313.960i | −0.295131 | − | 0.142128i | 0.280459 | − | 0.959866i | \(-0.409513\pi\) |
−0.575590 | + | 0.817738i | \(0.695228\pi\) | |||||||
\(48\) | −1497.23 | + | 587.618i | −0.649837 | + | 0.255042i | ||||
\(49\) | −68.5566 | + | 118.744i | −0.0285534 | + | 0.0494559i | ||||
\(50\) | 895.799 | − | 517.190i | 0.358320 | − | 0.206876i | ||||
\(51\) | 897.036 | + | 715.362i | 0.344881 | + | 0.275033i | ||||
\(52\) | −6325.13 | − | 4312.40i | −2.33917 | − | 1.59482i | ||||
\(53\) | 3967.84 | − | 598.055i | 1.41254 | − | 0.212907i | 0.601959 | − | 0.798527i | \(-0.294387\pi\) |
0.810585 | + | 0.585621i | \(0.199149\pi\) | |||||||
\(54\) | 4171.73 | − | 2009.00i | 1.43063 | − | 0.688957i | ||||
\(55\) | −1148.50 | + | 1237.78i | −0.379668 | + | 0.409185i | ||||
\(56\) | 4511.92 | + | 680.062i | 1.43875 | + | 0.216857i | ||||
\(57\) | 4942.02 | − | 1524.41i | 1.52109 | − | 0.469194i | ||||
\(58\) | 379.462 | + | 5063.57i | 0.112801 | + | 1.50522i | ||||
\(59\) | 2556.61 | + | 3205.89i | 0.734447 | + | 0.920967i | 0.999058 | − | 0.0433878i | \(-0.0138151\pi\) |
−0.264611 | + | 0.964355i | \(0.585244\pi\) | |||||||
\(60\) | −2272.50 | + | 5790.24i | −0.631250 | + | 1.60840i | ||||
\(61\) | 2367.32 | + | 2551.36i | 0.636205 | + | 0.685666i | 0.966046 | − | 0.258371i | \(-0.0831856\pi\) |
−0.329841 | + | 0.944036i | \(0.606995\pi\) | |||||||
\(62\) | −5211.49 | − | 7643.85i | −1.35575 | − | 1.98851i | ||||
\(63\) | 437.431 | + | 32.7810i | 0.110212 | + | 0.00825925i | ||||
\(64\) | −1183.76 | − | 5186.41i | −0.289005 | − | 1.26621i | ||||
\(65\) | −5387.11 | + | 1229.57i | −1.27506 | + | 0.291023i | ||||
\(66\) | −374.384 | + | 4995.80i | −0.0859466 | + | 1.14688i | ||||
\(67\) | 1546.74 | − | 1054.55i | 0.344563 | − | 0.234919i | −0.378657 | − | 0.925537i | \(-0.623614\pi\) |
0.723219 | + | 0.690618i | \(0.242661\pi\) | |||||||
\(68\) | 2667.16 | − | 2474.77i | 0.576809 | − | 0.535200i | ||||
\(69\) | −4434.55 | − | 1740.43i | −0.931432 | − | 0.365560i | ||||
\(70\) | 5492.59 | − | 4380.20i | 1.12094 | − | 0.893917i | ||||
\(71\) | −7928.50 | + | 594.159i | −1.57280 | + | 0.117865i | −0.832353 | − | 0.554246i | \(-0.813007\pi\) |
−0.740450 | + | 0.672111i | \(0.765388\pi\) | |||||||
\(72\) | 260.599 | + | 844.840i | 0.0502698 | + | 0.162971i | ||||
\(73\) | −1374.76 | + | 9120.96i | −0.257978 | + | 1.71157i | 0.366407 | + | 0.930454i | \(0.380588\pi\) |
−0.624385 | + | 0.781116i | \(0.714650\pi\) | |||||||
\(74\) | 8964.66 | + | 8317.99i | 1.63708 | + | 1.51899i | ||||
\(75\) | −627.703 | − | 1303.44i | −0.111592 | − | 0.231722i | ||||
\(76\) | −2444.38 | − | 16217.4i | −0.423196 | − | 2.80772i | ||||
\(77\) | 2081.64 | − | 3053.20i | 0.351094 | − | 0.514961i | ||||
\(78\) | −10221.7 | + | 12817.6i | −1.68010 | + | 2.10678i | ||||
\(79\) | 2596.52 | + | 4497.30i | 0.416042 | + | 0.720606i | 0.995537 | − | 0.0943699i | \(-0.0300837\pi\) |
−0.579495 | + | 0.814976i | \(0.696750\pi\) | |||||||
\(80\) | 3188.34 | + | 1840.79i | 0.498179 | + | 0.287624i | ||||
\(81\) | −2638.77 | − | 6723.49i | −0.402191 | − | 1.02477i | ||||
\(82\) | −1546.31 | + | 3210.94i | −0.229969 | + | 0.477535i | ||||
\(83\) | 1503.85 | + | 463.876i | 0.218297 | + | 0.0673357i | 0.401975 | − | 0.915651i | \(-0.368324\pi\) |
−0.183677 | + | 0.982987i | \(0.558800\pi\) | |||||||
\(84\) | 3029.12 | − | 13271.4i | 0.429297 | − | 1.88087i | ||||
\(85\) | − | 2626.24i | − | 0.363494i | ||||||
\(86\) | 12540.5 | + | 643.272i | 1.69558 | + | 0.0869757i | ||||
\(87\) | 7101.88 | 0.938285 | ||||||||
\(88\) | 7261.17 | + | 1657.32i | 0.937652 | + | 0.214013i | ||||
\(89\) | 4091.82 | − | 13265.4i | 0.516579 | − | 1.67471i | −0.202100 | − | 0.979365i | \(-0.564777\pi\) |
0.718679 | − | 0.695342i | \(-0.244747\pi\) | |||||||
\(90\) | 1226.44 | + | 590.621i | 0.151412 | + | 0.0729162i | ||||
\(91\) | 11256.8 | − | 4417.96i | 1.35935 | − | 0.533505i | ||||
\(92\) | −7553.48 | + | 13083.0i | −0.892425 | + | 1.54572i | ||||
\(93\) | −11205.7 | + | 6469.60i | −1.29560 | + | 0.748017i | ||||
\(94\) | 3842.05 | + | 3063.93i | 0.434818 | + | 0.346756i | ||||
\(95\) | −9781.02 | − | 6668.58i | −1.08377 | − | 0.738901i | ||||
\(96\) | −3610.23 | + | 544.155i | −0.391735 | + | 0.0590446i | ||||
\(97\) | 600.285 | − | 289.082i | 0.0637990 | − | 0.0307240i | −0.401712 | − | 0.915766i | \(-0.631585\pi\) |
0.465511 | + | 0.885042i | \(0.345870\pi\) | |||||||
\(98\) | 633.356 | − | 682.595i | 0.0659471 | − | 0.0710740i | ||||
\(99\) | 708.016 | + | 106.716i | 0.0722392 | + | 0.0108883i | ||||
\(100\) | −4383.92 | + | 1352.26i | −0.438392 | + | 0.135226i | ||||
\(101\) | 601.204 | + | 8022.51i | 0.0589358 | + | 0.786443i | 0.945870 | + | 0.324547i | \(0.105212\pi\) |
−0.886934 | + | 0.461896i | \(0.847169\pi\) | |||||||
\(102\) | −4858.19 | − | 6091.98i | −0.466954 | − | 0.585542i | ||||
\(103\) | −5111.49 | + | 13023.9i | −0.481807 | + | 1.22762i | 0.458925 | + | 0.888475i | \(0.348235\pi\) |
−0.940732 | + | 0.339150i | \(0.889861\pi\) | |||||||
\(104\) | 16577.8 | + | 17866.6i | 1.53271 | + | 1.65187i | ||||
\(105\) | −5535.03 | − | 8118.40i | −0.502044 | − | 0.736363i | ||||
\(106\) | −27174.7 | − | 2036.46i | −2.41854 | − | 0.181244i | ||||
\(107\) | 2041.05 | + | 8942.41i | 0.178273 | + | 0.781064i | 0.982428 | + | 0.186644i | \(0.0597612\pi\) |
−0.804155 | + | 0.594420i | \(0.797382\pi\) | |||||||
\(108\) | −20021.6 | + | 4569.79i | −1.71653 | + | 0.391786i | ||||
\(109\) | 412.614 | − | 5505.95i | 0.0347289 | − | 0.463425i | −0.952545 | − | 0.304397i | \(-0.901545\pi\) |
0.987274 | − | 0.159028i | \(-0.0508360\pi\) | |||||||
\(110\) | 9474.69 | − | 6459.73i | 0.783032 | − | 0.533862i | ||||
\(111\) | 12538.2 | − | 11633.7i | 1.01763 | − | 0.944220i | ||||
\(112\) | −7500.06 | − | 2943.56i | −0.597900 | − | 0.234659i | ||||
\(113\) | 1526.67 | − | 1217.48i | 0.119561 | − | 0.0953466i | −0.561884 | − | 0.827216i | \(-0.689923\pi\) |
0.681445 | + | 0.731869i | \(0.261352\pi\) | |||||||
\(114\) | −35024.6 | + | 2624.73i | −2.69503 | + | 0.201965i | ||||
\(115\) | 3214.09 | + | 10419.8i | 0.243031 | + | 0.787889i | ||||
\(116\) | 3356.61 | − | 22269.7i | 0.249451 | − | 1.65500i | ||||
\(117\) | 1717.63 | + | 1593.73i | 0.125475 | + | 0.116424i | ||||
\(118\) | −12082.5 | − | 25089.6i | −0.867748 | − | 1.80190i | ||||
\(119\) | 856.611 | + | 5683.24i | 0.0604908 | + | 0.401330i | ||||
\(120\) | 11155.9 | − | 16362.7i | 0.774715 | − | 1.13630i | ||||
\(121\) | −5367.77 | + | 6730.96i | −0.366626 | + | 0.459734i | ||||
\(122\) | −11818.3 | − | 20470.0i | −0.794030 | − | 1.37530i | ||||
\(123\) | 4316.72 | + | 2492.26i | 0.285328 | + | 0.164734i | ||||
\(124\) | 14990.8 | + | 38195.9i | 0.974947 | + | 2.48412i | ||||
\(125\) | −7332.57 | + | 15226.2i | −0.469284 | + | 0.974479i | ||||
\(126\) | −2846.68 | − | 878.085i | −0.179307 | − | 0.0553089i | ||||
\(127\) | 1781.50 | − | 7805.28i | 0.110453 | − | 0.483928i | −0.889198 | − | 0.457523i | \(-0.848737\pi\) |
0.999651 | − | 0.0264054i | \(-0.00840609\pi\) | |||||||
\(128\) | 29977.8i | 1.82970i | ||||||||
\(129\) | 2207.90 | − | 17423.2i | 0.132679 | − | 1.04700i | ||||
\(130\) | 37526.0 | 2.22047 | ||||||||
\(131\) | 12104.8 | + | 2762.84i | 0.705367 | + | 0.160996i | 0.560134 | − | 0.828402i | \(-0.310750\pi\) |
0.145233 | + | 0.989397i | \(0.453607\pi\) | |||||||
\(132\) | 6549.41 | − | 21232.7i | 0.375884 | − | 1.21859i | ||||
\(133\) | 23341.4 | + | 11240.6i | 1.31955 | + | 0.635460i | ||||
\(134\) | −11834.6 | + | 4644.72i | −0.659087 | + | 0.258672i | ||||
\(135\) | −7411.65 | + | 12837.4i | −0.406675 | + | 0.704382i | ||||
\(136\) | −10032.0 | + | 5792.00i | −0.542390 | + | 0.313149i | ||||
\(137\) | 3019.52 | + | 2407.99i | 0.160878 | + | 0.128296i | 0.700620 | − | 0.713534i | \(-0.252907\pi\) |
−0.539742 | + | 0.841830i | \(0.681478\pi\) | |||||||
\(138\) | 26730.9 | + | 18224.8i | 1.40364 | + | 0.956984i | ||||
\(139\) | −9110.13 | + | 1373.13i | −0.471515 | + | 0.0710694i | −0.380501 | − | 0.924780i | \(-0.624249\pi\) |
−0.0910131 | + | 0.995850i | \(0.529011\pi\) | |||||||
\(140\) | −28073.3 | + | 13519.4i | −1.43231 | + | 0.689764i | ||||
\(141\) | 4674.88 | − | 5038.32i | 0.235143 | − | 0.253424i | ||||
\(142\) | 53392.3 | + | 8047.59i | 2.64790 | + | 0.399107i | ||||
\(143\) | 18861.7 | − | 5818.08i | 0.922380 | − | 0.284517i | ||||
\(144\) | −116.665 | − | 1556.79i | −0.00562621 | − | 0.0750765i | ||||
\(145\) | −10135.4 | − | 12709.4i | −0.482064 | − | 0.604489i | ||||
\(146\) | 22885.8 | − | 58312.1i | 1.07364 | − | 2.73560i | ||||
\(147\) | −885.826 | − | 954.694i | −0.0409934 | − | 0.0441804i | ||||
\(148\) | −30554.4 | − | 44815.0i | −1.39492 | − | 2.04598i | ||||
\(149\) | −32114.8 | − | 2406.67i | −1.44655 | − | 0.108404i | −0.671827 | − | 0.740708i | \(-0.734490\pi\) |
−0.774720 | + | 0.632304i | \(0.782109\pi\) | |||||||
\(150\) | 2186.25 | + | 9578.61i | 0.0971669 | + | 0.425716i | ||||
\(151\) | 24853.8 | − | 5672.71i | 1.09003 | − | 0.248792i | 0.360513 | − | 0.932754i | \(-0.382602\pi\) |
0.729518 | + | 0.683962i | \(0.239745\pi\) | |||||||
\(152\) | −3902.10 | + | 52069.9i | −0.168893 | + | 2.25372i | ||||
\(153\) | −920.134 | + | 627.337i | −0.0393068 | + | 0.0267990i | ||||
\(154\) | −18396.4 | + | 17069.4i | −0.775697 | + | 0.719742i | ||||
\(155\) | 27570.0 | + | 10820.4i | 1.14755 | + | 0.450381i | ||||
\(156\) | 56849.5 | − | 45336.0i | 2.33603 | − | 1.86292i | ||||
\(157\) | −17354.1 | + | 1300.51i | −0.704048 | + | 0.0527611i | −0.421943 | − | 0.906622i | \(-0.638652\pi\) |
−0.282105 | + | 0.959383i | \(0.591033\pi\) | |||||||
\(158\) | −10395.2 | − | 33700.3i | −0.416406 | − | 1.34996i | ||||
\(159\) | −5680.56 | + | 37688.0i | −0.224697 | + | 1.49077i | ||||
\(160\) | 6126.12 | + | 5684.21i | 0.239302 | + | 0.222040i | ||||
\(161\) | −10354.0 | − | 21500.4i | −0.399446 | − | 0.829458i | ||||
\(162\) | 7310.75 | + | 48503.7i | 0.278569 | + | 1.84818i | ||||
\(163\) | 25895.8 | − | 37982.1i | 0.974662 | − | 1.42957i | 0.0728967 | − | 0.997339i | \(-0.476776\pi\) |
0.901765 | − | 0.432227i | \(-0.142272\pi\) | |||||||
\(164\) | 9855.33 | − | 12358.2i | 0.366424 | − | 0.459481i | ||||
\(165\) | −8019.18 | − | 13889.6i | −0.294552 | − | 0.510179i | ||||
\(166\) | −9255.93 | − | 5343.91i | −0.335895 | − | 0.193929i | ||||
\(167\) | −3697.42 | − | 9420.87i | −0.132576 | − | 0.337799i | 0.849135 | − | 0.528176i | \(-0.177124\pi\) |
−0.981711 | + | 0.190378i | \(0.939029\pi\) | |||||||
\(168\) | −18804.5 | + | 39048.0i | −0.666260 | + | 1.38350i | ||||
\(169\) | 34432.0 | + | 10620.9i | 1.20556 | + | 0.371866i | ||||
\(170\) | −3968.76 | + | 17388.3i | −0.137327 | + | 0.601670i | ||||
\(171\) | 5019.83i | 0.171671i | ||||||||
\(172\) | −53591.1 | − | 15158.3i | −1.81149 | − | 0.512380i | ||||
\(173\) | −35995.4 | −1.20269 | −0.601347 | − | 0.798988i | \(-0.705369\pi\) | ||||
−0.601347 | + | 0.798988i | \(0.705369\pi\) | |||||||
\(174\) | −47021.3 | − | 10732.3i | −1.55309 | − | 0.354482i | ||||
\(175\) | 2136.09 | − | 6925.04i | 0.0697499 | − | 0.226124i | ||||
\(176\) | −11848.9 | − | 5706.14i | −0.382519 | − | 0.184212i | ||||
\(177\) | −36255.6 | + | 14229.3i | −1.15726 | + | 0.454189i | ||||
\(178\) | −47138.3 | + | 81645.9i | −1.48776 | + | 2.57688i | ||||
\(179\) | −20872.5 | + | 12050.7i | −0.651430 | + | 0.376103i | −0.789004 | − | 0.614388i | \(-0.789403\pi\) |
0.137574 | + | 0.990492i | \(0.456070\pi\) | |||||||
\(180\) | −4720.28 | − | 3764.30i | −0.145688 | − | 0.116182i | ||||
\(181\) | 2423.77 | + | 1652.50i | 0.0739835 | + | 0.0504411i | 0.599747 | − | 0.800190i | \(-0.295268\pi\) |
−0.525763 | + | 0.850631i | \(0.676220\pi\) | |||||||
\(182\) | −81207.1 | + | 12240.0i | −2.45161 | + | 0.369521i | ||||
\(183\) | −29785.0 | + | 14343.7i | −0.889395 | + | 0.428310i | ||||
\(184\) | 32714.5 | − | 35257.8i | 0.966283 | − | 1.04141i | ||||
\(185\) | −38713.3 | − | 5835.09i | −1.13114 | − | 0.170492i | ||||
\(186\) | 83969.2 | − | 25901.1i | 2.42714 | − | 0.748672i | ||||
\(187\) | 701.075 | + | 9355.20i | 0.0200485 | + | 0.267528i | ||||
\(188\) | −13589.3 | − | 17040.5i | −0.384488 | − | 0.482133i | ||||
\(189\) | 11851.8 | − | 30197.8i | 0.331787 | − | 0.845380i | ||||
\(190\) | 54682.3 | + | 58933.5i | 1.51474 | + | 1.63251i | ||||
\(191\) | 8350.66 | + | 12248.2i | 0.228904 | + | 0.335741i | 0.923458 | − | 0.383700i | \(-0.125350\pi\) |
−0.694553 | + | 0.719441i | \(0.744398\pi\) | |||||||
\(192\) | 50388.1 | + | 3776.07i | 1.36687 | + | 0.102432i | ||||
\(193\) | 434.715 | + | 1904.61i | 0.0116705 | + | 0.0511319i | 0.980428 | − | 0.196878i | \(-0.0630804\pi\) |
−0.968757 | + | 0.248010i | \(0.920223\pi\) | |||||||
\(194\) | −4411.32 | + | 1006.86i | −0.117210 | + | 0.0267525i | ||||
\(195\) | 3922.19 | − | 52338.0i | 0.103148 | − | 1.37641i | ||||
\(196\) | −3412.35 | + | 2326.50i | −0.0888262 | + | 0.0605607i | ||||
\(197\) | 38303.8 | − | 35540.7i | 0.986981 | − | 0.915785i | −0.00947021 | − | 0.999955i | \(-0.503015\pi\) |
0.996451 | + | 0.0841705i | \(0.0268240\pi\) | |||||||
\(198\) | −4526.48 | − | 1776.51i | −0.115460 | − | 0.0453146i | ||||
\(199\) | −40730.1 | + | 32481.2i | −1.02851 | + | 0.820211i | −0.983887 | − | 0.178793i | \(-0.942781\pi\) |
−0.0446248 | + | 0.999004i | \(0.514209\pi\) | |||||||
\(200\) | 14565.5 | − | 1091.54i | 0.364139 | − | 0.0272884i | ||||
\(201\) | 5241.11 | + | 16991.3i | 0.129727 | + | 0.420566i | ||||
\(202\) | 8143.00 | − | 54025.3i | 0.199564 | − | 1.32402i | ||||
\(203\) | 26078.7 | + | 24197.5i | 0.632839 | + | 0.587189i | ||||
\(204\) | 14994.7 | + | 31136.8i | 0.360311 | + | 0.748194i | ||||
\(205\) | −1700.48 | − | 11281.9i | −0.0404635 | − | 0.268458i | ||||
\(206\) | 53524.6 | − | 78506.2i | 1.26130 | − | 1.84999i | ||||
\(207\) | 2882.95 | − | 3615.10i | 0.0672816 | − | 0.0843685i | ||||
\(208\) | −21518.5 | − | 37271.2i | −0.497377 | − | 0.861482i | ||||
\(209\) | 36622.1 | + | 21143.8i | 0.838400 | + | 0.484050i | ||||
\(210\) | 24378.8 | + | 62116.2i | 0.552807 | + | 1.40853i | ||||
\(211\) | −8401.75 | + | 17446.4i | −0.188714 | + | 0.391869i | −0.973763 | − | 0.227565i | \(-0.926924\pi\) |
0.785049 | + | 0.619434i | \(0.212638\pi\) | |||||||
\(212\) | 115495. | + | 35625.5i | 2.56976 | + | 0.792665i | ||||
\(213\) | 16804.6 | − | 73625.7i | 0.370398 | − | 1.62282i | ||||
\(214\) | − | 62291.8i | − | 1.36020i | ||||||
\(215\) | −34331.2 | + | 20914.1i | −0.742697 | + | 0.452442i | ||||
\(216\) | 65383.7 | 1.40140 | ||||||||
\(217\) | −63191.3 | − | 14423.0i | −1.34195 | − | 0.306292i | ||||
\(218\) | −11052.5 | + | 35831.2i | −0.232566 | + | 0.753960i | ||||
\(219\) | −78936.6 | − | 38013.8i | −1.64585 | − | 0.792599i | ||||
\(220\) | −47344.5 | + | 18581.3i | −0.978191 | + | 0.383912i | ||||
\(221\) | −15350.1 | + | 26587.2i | −0.314288 | + | 0.544363i | ||||
\(222\) | −100596. | + | 58079.0i | −2.04114 | + | 1.17845i | ||||
\(223\) | −59540.3 | − | 47481.8i | −1.19729 | − | 0.954811i | −0.197619 | − | 0.980279i | \(-0.563321\pi\) |
−0.999676 | + | 0.0254683i | \(0.991892\pi\) | |||||||
\(224\) | −15111.1 | − | 10302.6i | −0.301162 | − | 0.205329i | ||||
\(225\) | 1388.52 | − | 209.286i | 0.0274275 | − | 0.00413404i | ||||
\(226\) | −11947.9 | + | 5753.81i | −0.233924 | + | 0.112652i | ||||
\(227\) | 55864.9 | − | 60208.0i | 1.08414 | − | 1.16843i | 0.0992881 | − | 0.995059i | \(-0.468343\pi\) |
0.984857 | − | 0.173371i | \(-0.0554661\pi\) | |||||||
\(228\) | 154039. | + | 23217.6i | 2.96320 | + | 0.446630i | ||||
\(229\) | −37250.9 | + | 11490.4i | −0.710339 | + | 0.219111i | −0.628808 | − | 0.777560i | \(-0.716457\pi\) |
−0.0815307 | + | 0.996671i | \(0.525981\pi\) | |||||||
\(230\) | −5534.03 | − | 73846.5i | −0.104613 | − | 1.39596i | ||||
\(231\) | 21884.1 | + | 27441.8i | 0.410114 | + | 0.514267i | ||||
\(232\) | −26195.9 | + | 66746.1i | −0.486696 | + | 1.24008i | ||||
\(233\) | 20797.6 | + | 22414.5i | 0.383090 | + | 0.412873i | 0.894929 | − | 0.446209i | \(-0.147226\pi\) |
−0.511839 | + | 0.859081i | \(0.671036\pi\) | |||||||
\(234\) | −8963.93 | − | 13147.7i | −0.163707 | − | 0.240114i | ||||
\(235\) | −15688.2 | − | 1175.67i | −0.284078 | − | 0.0212887i | ||||
\(236\) | 27483.6 | + | 120414.i | 0.493458 | + | 2.16198i | ||||
\(237\) | −48088.7 | + | 10975.9i | −0.856144 | + | 0.195409i | ||||
\(238\) | 2916.88 | − | 38923.1i | 0.0514949 | − | 0.687152i | ||||
\(239\) | −17221.1 | + | 11741.2i | −0.301485 | + | 0.205549i | −0.704608 | − | 0.709597i | \(-0.748877\pi\) |
0.403123 | + | 0.915146i | \(0.367925\pi\) | |||||||
\(240\) | −25634.1 | + | 23785.0i | −0.445037 | + | 0.412934i | ||||
\(241\) | 43652.2 | + | 17132.2i | 0.751575 | + | 0.294971i | 0.710036 | − | 0.704166i | \(-0.248679\pi\) |
0.0415390 | + | 0.999137i | \(0.486774\pi\) | |||||||
\(242\) | 45711.6 | − | 36453.8i | 0.780541 | − | 0.622460i | ||||
\(243\) | 13341.4 | − | 999.798i | 0.225937 | − | 0.0169317i | ||||
\(244\) | 30900.6 | + | 100177.i | 0.519024 | + | 1.68263i | ||||
\(245\) | −444.300 | + | 2947.74i | −0.00740192 | + | 0.0491086i | ||||
\(246\) | −24814.6 | − | 23024.6i | −0.410050 | − | 0.380471i | ||||
\(247\) | 60042.6 | + | 124680.i | 0.984160 | + | 2.04363i | ||||
\(248\) | −19470.6 | − | 129179.i | −0.316574 | − | 2.10033i | ||||
\(249\) | −8420.65 | + | 12350.8i | −0.135815 | + | 0.199204i | ||||
\(250\) | 71558.4 | − | 89731.4i | 1.14494 | − | 1.43570i | ||||
\(251\) | 12126.1 | + | 21003.0i | 0.192475 | + | 0.333376i | 0.946070 | − | 0.323963i | \(-0.105015\pi\) |
−0.753595 | + | 0.657339i | \(0.771682\pi\) | |||||||
\(252\) | 11442.6 | + | 6606.39i | 0.180187 | + | 0.104031i | ||||
\(253\) | −14230.8 | − | 36259.5i | −0.222325 | − | 0.566476i | ||||
\(254\) | −23590.6 | + | 48986.3i | −0.365655 | + | 0.759289i | ||||
\(255\) | 23836.8 | + | 7352.68i | 0.366579 | + | 0.113075i | ||||
\(256\) | 26362.1 | − | 115500.i | 0.402253 | − | 1.76239i | ||||
\(257\) | − | 63279.0i | − | 0.958062i | −0.877798 | − | 0.479031i | \(-0.840988\pi\) | ||
0.877798 | − | 0.479031i | \(-0.159012\pi\) | |||||||
\(258\) | −40948.2 | + | 112022.i | −0.615171 | + | 1.68292i | ||||
\(259\) | 85679.6 | 1.27726 | ||||||||
\(260\) | −162265. | − | 37035.9i | −2.40037 | − | 0.547868i | ||||
\(261\) | −2031.81 | + | 6586.98i | −0.0298265 | + | 0.0966952i | ||||
\(262\) | −75970.4 | − | 36585.4i | −1.10673 | − | 0.532973i | ||||
\(263\) | −32396.0 | + | 12714.5i | −0.468360 | + | 0.183818i | −0.587771 | − | 0.809027i | \(-0.699995\pi\) |
0.119411 | + | 0.992845i | \(0.461899\pi\) | |||||||
\(264\) | −35371.6 | + | 61265.3i | −0.507512 | + | 0.879036i | ||||
\(265\) | 75552.7 | − | 43620.4i | 1.07587 | − | 0.621152i | ||||
\(266\) | −137556. | − | 109697.i | −1.94409 | − | 1.55036i | ||||
\(267\) | 108946. | + | 74278.0i | 1.52823 | + | 1.04193i | ||||
\(268\) | 55757.4 | − | 8404.08i | 0.776306 | − | 0.117009i | ||||
\(269\) | 64751.6 | − | 31182.7i | 0.894841 | − | 0.430933i | 0.0708182 | − | 0.997489i | \(-0.477439\pi\) |
0.824023 | + | 0.566557i | \(0.191725\pi\) | |||||||
\(270\) | 68472.0 | − | 73795.3i | 0.939260 | − | 1.01228i | ||||
\(271\) | −70185.0 | − | 10578.7i | −0.955665 | − | 0.144043i | −0.347347 | − | 0.937737i | \(-0.612917\pi\) |
−0.608318 | + | 0.793693i | \(0.708156\pi\) | |||||||
\(272\) | 19546.0 | − | 6029.13i | 0.264192 | − | 0.0814924i | ||||
\(273\) | 8583.58 | + | 114540.i | 0.115171 | + | 1.53685i | ||||
\(274\) | −16353.2 | − | 20506.3i | −0.217822 | − | 0.273140i | ||||
\(275\) | 4321.67 | − | 11011.4i | 0.0571461 | − | 0.145606i | ||||
\(276\) | −97599.2 | − | 105187.i | −1.28123 | − | 1.38084i | ||||
\(277\) | −18556.4 | − | 27217.2i | −0.241843 | − | 0.354719i | 0.686057 | − | 0.727548i | \(-0.259340\pi\) |
−0.927900 | + | 0.372829i | \(0.878388\pi\) | |||||||
\(278\) | 62393.0 | + | 4675.71i | 0.807320 | + | 0.0605003i | ||||
\(279\) | −2794.65 | − | 12244.2i | −0.0359020 | − | 0.157297i | ||||
\(280\) | 96716.3 | − | 22074.9i | 1.23363 | − | 0.281567i | ||||
\(281\) | −6376.02 | + | 85082.0i | −0.0807489 | + | 1.07752i | 0.798764 | + | 0.601644i | \(0.205488\pi\) |
−0.879513 | + | 0.475875i | \(0.842131\pi\) | |||||||
\(282\) | −38566.1 | + | 26293.9i | −0.484961 | + | 0.330641i | ||||
\(283\) | −49042.5 | + | 45504.8i | −0.612350 | + | 0.568178i | −0.924179 | − | 0.381961i | \(-0.875249\pi\) |
0.311829 | + | 0.950138i | \(0.399059\pi\) | |||||||
\(284\) | −222929. | − | 87493.1i | −2.76395 | − | 1.08477i | ||||
\(285\) | 87910.6 | − | 70106.4i | 1.08231 | − | 0.863113i | ||||
\(286\) | −133675. | + | 10017.6i | −1.63425 | + | 0.122470i | ||||
\(287\) | 7359.74 | + | 23859.7i | 0.0893509 | + | 0.289668i | ||||
\(288\) | 528.167 | − | 3504.16i | 0.00636776 | − | 0.0422473i | ||||
\(289\) | 50529.1 | + | 46884.1i | 0.604986 | + | 0.561345i | ||||
\(290\) | 47899.8 | + | 99465.0i | 0.569558 | + | 1.18270i | ||||
\(291\) | 943.206 | + | 6257.76i | 0.0111383 | + | 0.0738981i | ||||
\(292\) | −156510. | + | 229558.i | −1.83559 | + | 2.69232i | ||||
\(293\) | 1382.69 | − | 1733.84i | 0.0161061 | − | 0.0201964i | −0.773713 | − | 0.633536i | \(-0.781603\pi\) |
0.789819 | + | 0.613340i | \(0.210174\pi\) | |||||||
\(294\) | 4422.30 | + | 7659.65i | 0.0511627 | + | 0.0886164i | ||||
\(295\) | 77206.4 | + | 44575.2i | 0.887175 | + | 0.512211i | ||||
\(296\) | 63090.0 | + | 160751.i | 0.720074 | + | 1.83472i | ||||
\(297\) | 22974.9 | − | 47707.8i | 0.260460 | − | 0.540850i | ||||
\(298\) | 208994. | + | 64466.2i | 2.35343 | + | 0.725938i | ||||
\(299\) | 28364.5 | − | 124273.i | 0.317273 | − | 1.39006i | ||||
\(300\) | − | 43576.2i | − | 0.484180i | ||||||
\(301\) | 67471.7 | − | 56456.6i | 0.744713 | − | 0.623134i | ||||
\(302\) | −173129. | −1.89826 | ||||||||
\(303\) | −74498.7 | − | 17003.8i | −0.811453 | − | 0.185209i | ||||
\(304\) | 27176.8 | − | 88105.1i | 0.294071 | − | 0.953353i | ||||
\(305\) | 68176.5 | + | 32832.1i | 0.732884 | + | 0.352938i | ||||
\(306\) | 7040.20 | − | 2763.08i | 0.0751869 | − | 0.0295087i | ||||
\(307\) | 66588.5 | − | 115335.i | 0.706517 | − | 1.22372i | −0.259624 | − | 0.965710i | \(-0.583599\pi\) |
0.966141 | − | 0.258014i | \(-0.0830680\pi\) | |||||||
\(308\) | 96393.7 | − | 55652.9i | 1.01613 | − | 0.586660i | ||||
\(309\) | −103899. | − | 82856.8i | −1.08817 | − | 0.867784i | ||||
\(310\) | −166188. | − | 113305.i | −1.72932 | − | 1.17903i | ||||
\(311\) | −164349. | + | 24771.7i | −1.69921 | + | 0.256115i | −0.925861 | − | 0.377864i | \(-0.876659\pi\) |
−0.773350 | + | 0.633979i | \(0.781421\pi\) | |||||||
\(312\) | −208577. | + | 100446.i | −2.14268 | + | 1.03186i | ||||
\(313\) | −9973.54 | + | 10748.9i | −0.101803 | + | 0.109718i | −0.781898 | − | 0.623407i | \(-0.785748\pi\) |
0.680095 | + | 0.733124i | \(0.261939\pi\) | |||||||
\(314\) | 116866. | + | 17614.7i | 1.18530 | + | 0.178656i | ||||
\(315\) | 9113.34 | − | 2811.09i | 0.0918452 | − | 0.0283305i | ||||
\(316\) | 11689.2 | + | 155982.i | 0.117061 | + | 1.56207i | ||||
\(317\) | 99634.7 | + | 124938.i | 0.991499 | + | 1.24330i | 0.969893 | + | 0.243533i | \(0.0783065\pi\) |
0.0216060 | + | 0.999767i | \(0.493122\pi\) | |||||||
\(318\) | 94564.7 | − | 240947.i | 0.935136 | − | 2.38269i | ||||
\(319\) | 39497.1 | + | 42567.8i | 0.388136 | + | 0.418311i | ||||
\(320\) | −65153.5 | − | 95562.6i | −0.636264 | − | 0.933228i | ||||
\(321\) | −86879.1 | − | 6510.69i | −0.843151 | − | 0.0631854i | ||||
\(322\) | 36062.5 | + | 158000.i | 0.347812 | + | 1.52386i | ||||
\(323\) | −64122.4 | + | 14635.5i | −0.614617 | + | 0.140282i | ||||
\(324\) | 16258.0 | − | 216948.i | 0.154874 | − | 2.06664i | ||||
\(325\) | 31984.0 | − | 21806.3i | 0.302807 | − | 0.206450i | ||||
\(326\) | −228853. | + | 212345.i | −2.15339 | + | 1.99805i | ||||
\(327\) | 48819.0 | + | 19160.1i | 0.456556 | + | 0.179185i | ||||
\(328\) | −39345.8 | + | 31377.3i | −0.365722 | + | 0.291654i | ||||
\(329\) | 34333.0 | − | 2572.91i | 0.317191 | − | 0.0237702i | ||||
\(330\) | 32104.8 | + | 104081.i | 0.294810 | + | 0.955751i | ||||
\(331\) | 2763.04 | − | 18331.6i | 0.0252192 | − | 0.167319i | −0.972676 | − | 0.232167i | \(-0.925418\pi\) |
0.997895 | + | 0.0648486i | \(0.0206564\pi\) | |||||||
\(332\) | 34749.1 | + | 32242.4i | 0.315259 | + | 0.292517i | ||||
\(333\) | 7203.15 | + | 14957.5i | 0.0649582 | + | 0.134887i | ||||
\(334\) | 10243.7 | + | 67962.8i | 0.0918260 | + | 0.609226i | ||||
\(335\) | 22927.4 | − | 33628.4i | 0.204299 | − | 0.299651i | ||||
\(336\) | 47714.8 | − | 59832.5i | 0.422644 | − | 0.529979i | ||||
\(337\) | 56625.2 | + | 98077.7i | 0.498597 | + | 0.863596i | 0.999999 | − | 0.00161878i | \(-0.000515273\pi\) |
−0.501401 | + | 0.865215i | \(0.667182\pi\) | |||||||
\(338\) | −211923. | − | 122354.i | −1.85500 | − | 1.07099i | ||||
\(339\) | 6776.12 | + | 17265.3i | 0.0589633 | + | 0.150236i | ||||
\(340\) | 34322.3 | − | 71270.9i | 0.296905 | − | 0.616531i | ||||
\(341\) | −101098. | − | 31184.7i | −0.869431 | − | 0.268184i | ||||
\(342\) | 7585.94 | − | 33236.2i | 0.0648570 | − | 0.284157i | ||||
\(343\) | − | 120764.i | − | 1.02648i | ||||||
\(344\) | 155606. | + | 85017.7i | 1.31495 | + | 0.718443i | ||||
\(345\) | −103573. | −0.870178 | ||||||||
\(346\) | 238325. | + | 54396.1i | 1.99075 | + | 0.454376i | ||||
\(347\) | 26676.9 | − | 86484.4i | 0.221552 | − | 0.718255i | −0.774744 | − | 0.632275i | \(-0.782121\pi\) |
0.996297 | − | 0.0859808i | \(-0.0274024\pi\) | |||||||
\(348\) | 192731. | + | 92814.3i | 1.59145 | + | 0.766402i | ||||
\(349\) | −85932.3 | + | 33725.9i | −0.705514 | + | 0.276894i | −0.690849 | − | 0.722999i | \(-0.742763\pi\) |
−0.0146645 | + | 0.999892i | \(0.504668\pi\) | |||||||
\(350\) | −24608.1 | + | 42622.4i | −0.200882 | + | 0.347938i | ||||
\(351\) | 150066. | − | 86640.9i | 1.21806 | − | 0.703248i | ||||
\(352\) | −23339.9 | − | 18612.9i | −0.188371 | − | 0.150221i | ||||
\(353\) | 37641.8 | + | 25663.8i | 0.302080 | + | 0.205954i | 0.704868 | − | 0.709339i | \(-0.251006\pi\) |
−0.402788 | + | 0.915293i | \(0.631959\pi\) | |||||||
\(354\) | 261551. | − | 39422.4i | 2.08713 | − | 0.314584i | ||||
\(355\) | −155742. | + | 75001.2i | −1.23580 | + | 0.595130i | ||||
\(356\) | 284408. | − | 306519.i | 2.24410 | − | 2.41857i | ||||
\(357\) | −53981.6 | − | 8136.42i | −0.423555 | − | 0.0638406i | ||||
\(358\) | 156407. | − | 48245.2i | 1.22037 | − | 0.376433i | ||||
\(359\) | −6838.04 | − | 91247.3i | −0.0530570 | − | 0.707996i | −0.958784 | − | 0.284135i | \(-0.908294\pi\) |
0.905727 | − | 0.423861i | \(-0.139326\pi\) | |||||||
\(360\) | 11984.7 | + | 15028.4i | 0.0924746 | + | 0.115960i | ||||
\(361\) | −60701.2 | + | 154664.i | −0.465782 | + | 1.18679i | ||||
\(362\) | −13550.5 | − | 14603.9i | −0.103404 | − | 0.111443i | ||||
\(363\) | −46064.8 | − | 67564.6i | −0.349588 | − | 0.512751i | ||||
\(364\) | 363224. | + | 27219.9i | 2.74140 | + | 0.205439i | ||||
\(365\) | 44624.9 | + | 195514.i | 0.334959 | + | 1.46755i | ||||
\(366\) | 218881. | − | 49958.2i | 1.63398 | − | 0.372945i | ||||
\(367\) | 13567.0 | − | 181040.i | 0.100729 | − | 1.34413i | −0.686347 | − | 0.727274i | \(-0.740787\pi\) |
0.787076 | − | 0.616857i | \(-0.211594\pi\) | |||||||
\(368\) | −70171.6 | + | 47842.2i | −0.518162 | + | 0.353277i | ||||
\(369\) | −3546.56 | + | 3290.73i | −0.0260468 | + | 0.0241679i | ||||
\(370\) | 247501. | + | 97137.1i | 1.80790 | + | 0.709548i | ||||
\(371\) | −149270. | + | 119039.i | −1.08449 | + | 0.864850i | ||||
\(372\) | −388651. | + | 29125.3i | −2.80849 | + | 0.210468i | ||||
\(373\) | −37961.2 | − | 123067.i | −0.272849 | − | 0.884554i | −0.983484 | − | 0.180994i | \(-0.942069\pi\) |
0.710635 | − | 0.703560i | \(-0.248408\pi\) | |||||||
\(374\) | 9495.71 | − | 62999.9i | 0.0678867 | − | 0.450399i | ||||
\(375\) | −117670. | − | 109182.i | −0.836767 | − | 0.776406i | ||||
\(376\) | 30108.3 | + | 62520.5i | 0.212966 | + | 0.442229i | ||||
\(377\) | 28322.3 | + | 187906.i | 0.199272 | + | 1.32208i | ||||
\(378\) | −124105. | + | 182028.i | −0.868571 | + | 1.27396i | ||||
\(379\) | −68165.2 | + | 85476.4i | −0.474552 | + | 0.595070i | −0.960279 | − | 0.279041i | \(-0.909983\pi\) |
0.485727 | + | 0.874111i | \(0.338555\pi\) | |||||||
\(380\) | −178286. | − | 308800.i | −1.23467 | − | 2.13850i | ||||
\(381\) | 65856.2 | + | 38022.1i | 0.453677 | + | 0.261930i | ||||
\(382\) | −36780.1 | − | 93714.2i | −0.252050 | − | 0.642212i | ||||
\(383\) | −13675.7 | + | 28397.9i | −0.0932294 | + | 0.193593i | −0.942369 | − | 0.334576i | \(-0.891407\pi\) |
0.849139 | + | 0.528169i | \(0.177121\pi\) | |||||||
\(384\) | −272091. | − | 83928.9i | −1.84523 | − | 0.569179i | ||||
\(385\) | 17877.6 | − | 78326.8i | 0.120611 | − | 0.528431i | ||||
\(386\) | − | 13267.3i | − | 0.0890447i | ||||||
\(387\) | 15528.3 | + | 7032.51i | 0.103682 | + | 0.0469557i | ||||
\(388\) | 20068.5 | 0.133307 | ||||||||
\(389\) | 148844. | + | 33972.6i | 0.983629 | + | 0.224507i | 0.683947 | − | 0.729532i | \(-0.260262\pi\) |
0.299683 | + | 0.954039i | \(0.403119\pi\) | |||||||
\(390\) | −105062. | + | 340601.i | −0.690740 | + | 2.23932i | ||||
\(391\) | 54584.0 | + | 26286.3i | 0.357036 | + | 0.171939i | ||||
\(392\) | 12240.0 | − | 4803.85i | 0.0796544 | − | 0.0312621i | ||||
\(393\) | −58966.5 | + | 102133.i | −0.381786 | + | 0.661273i | ||||
\(394\) | −307317. | + | 177429.i | −1.97967 | + | 1.14297i | ||||
\(395\) | 88271.8 | + | 70394.4i | 0.565754 | + | 0.451174i | ||||
\(396\) | 17819.5 | + | 12149.1i | 0.113633 | + | 0.0774737i | ||||
\(397\) | −95.7313 | + | 14.4292i | −0.000607398 | + | 9.15505e-5i | −0.149346 | − | 0.988785i | \(-0.547717\pi\) |
0.148739 | + | 0.988877i | \(0.452479\pi\) | |||||||
\(398\) | 318758. | − | 153506.i | 2.01231 | − | 0.969077i | ||||
\(399\) | −167374. | + | 180386.i | −1.05134 | + | 1.13307i | ||||
\(400\) | −25503.5 | − | 3844.03i | −0.159397 | − | 0.0240252i | ||||
\(401\) | 107368. | − | 33118.7i | 0.667708 | − | 0.205961i | 0.0576735 | − | 0.998335i | \(-0.481632\pi\) |
0.610034 | + | 0.792375i | \(0.291156\pi\) | |||||||
\(402\) | −9024.16 | − | 120419.i | −0.0558412 | − | 0.745149i | ||||
\(403\) | −215865. | − | 270686.i | −1.32915 | − | 1.66670i | ||||
\(404\) | −88530.5 | + | 225572.i | −0.542413 | + | 1.38205i | ||||
\(405\) | −106810. | − | 115113.i | −0.651179 | − | 0.701805i | ||||
\(406\) | −136099. | − | 199621.i | −0.825663 | − | 1.21103i | ||||
\(407\) | 139462. | + | 10451.2i | 0.841914 | + | 0.0630927i | ||||
\(408\) | −24483.8 | − | 107271.i | −0.147082 | − | 0.644407i | ||||
\(409\) | −249114. | + | 56858.6i | −1.48919 | + | 0.339899i | −0.888238 | − | 0.459384i | \(-0.848070\pi\) |
−0.600956 | + | 0.799282i | \(0.705213\pi\) | |||||||
\(410\) | −5790.37 | + | 77267.1i | −0.0344460 | + | 0.459649i | ||||
\(411\) | −30309.6 | + | 20664.7i | −0.179431 | + | 0.122334i | ||||
\(412\) | −308924. | + | 286640.i | −1.81994 | + | 1.68866i | ||||
\(413\) | −181616. | − | 71278.9i | −1.06476 | − | 0.417889i | ||||
\(414\) | −24551.0 | + | 19578.8i | −0.143242 | + | 0.114231i | ||||
\(415\) | 34120.2 | − | 2556.96i | 0.198114 | − | 0.0148466i | ||||
\(416\) | −28795.2 | − | 93351.8i | −0.166392 | − | 0.539431i | ||||
\(417\) | 13042.5 | − | 86531.5i | 0.0750049 | − | 0.497625i | ||||
\(418\) | −210522. | − | 195336.i | −1.20488 | − | 1.11797i | ||||
\(419\) | 69492.8 | + | 144303.i | 0.395833 | + | 0.821955i | 0.999691 | + | 0.0248634i | \(0.00791507\pi\) |
−0.603858 | + | 0.797092i | \(0.706371\pi\) | |||||||
\(420\) | −44110.6 | − | 292654.i | −0.250060 | − | 1.65904i | ||||
\(421\) | 121390. | − | 178047.i | 0.684889 | − | 1.00455i | −0.313598 | − | 0.949556i | \(-0.601535\pi\) |
0.998487 | − | 0.0549913i | \(-0.0175131\pi\) | |||||||
\(422\) | 81992.6 | − | 102815.i | 0.460415 | − | 0.577343i | ||||
\(423\) | 3335.57 | + | 5777.37i | 0.0186419 | + | 0.0322886i | ||||
\(424\) | −333253. | − | 192404.i | −1.85371 | − | 1.07024i | ||||
\(425\) | 6721.65 | + | 17126.5i | 0.0372133 | + | 0.0948180i | ||||
\(426\) | −222525. | + | 462079.i | −1.22620 | + | 2.54622i | ||||
\(427\) | −158244. | − | 48812.0i | −0.867906 | − | 0.267714i | ||||
\(428\) | −61478.2 | + | 269353.i | −0.335609 | + | 1.47040i | ||||
\(429\) | 187486.i | 1.01872i | ||||||||
\(430\) | 258911. | − | 86590.8i | 1.40027 | − | 0.468312i | ||||
\(431\) | 68662.3 | 0.369627 | 0.184814 | − | 0.982774i | \(-0.440832\pi\) | ||||
0.184814 | + | 0.982774i | \(0.440832\pi\) | |||||||
\(432\) | −112558. | − | 25690.6i | −0.603127 | − | 0.137660i | ||||
\(433\) | 33109.4 | − | 107338.i | 0.176594 | − | 0.572503i | −0.823394 | − | 0.567471i | \(-0.807922\pi\) |
0.999987 | − | 0.00503210i | \(-0.00160178\pi\) | |||||||
\(434\) | 396592. | + | 190989.i | 2.10554 | + | 1.01398i | ||||
\(435\) | 143731. | − | 56410.5i | 0.759580 | − | 0.298113i | ||||
\(436\) | 83154.7 | − | 144028.i | 0.437435 | − | 0.757660i | ||||
\(437\) | 236500. | − | 136543.i | 1.23842 | − | 0.715001i | ||||
\(438\) | 465190. | + | 370977.i | 2.42484 | + | 1.93374i | ||||
\(439\) | −181092. | − | 123466.i | −0.939658 | − | 0.640648i | −0.00644793 | − | 0.999979i | \(-0.502052\pi\) |
−0.933210 | + | 0.359331i | \(0.883005\pi\) | |||||||
\(440\) | 160119. | − | 24134.1i | 0.827063 | − | 0.124660i | ||||
\(441\) | 1138.91 | − | 548.468i | 0.00585613 | − | 0.00282016i | ||||
\(442\) | 141811. | − | 152836.i | 0.725882 | − | 0.782315i | ||||
\(443\) | −119137. | − | 17957.0i | −0.607069 | − | 0.0915010i | −0.161688 | − | 0.986842i | \(-0.551694\pi\) |
−0.445381 | + | 0.895341i | \(0.646932\pi\) | |||||||
\(444\) | 492302. | − | 151855.i | 2.49727 | − | 0.770306i | ||||
\(445\) | −22554.8 | − | 300972.i | −0.113899 | − | 1.51987i | ||||
\(446\) | 322460. | + | 404352.i | 1.62109 | + | 2.03278i | ||||
\(447\) | 111756. | − | 284749.i | 0.559313 | − | 1.42511i | ||||
\(448\) | 172163. | + | 185548.i | 0.857798 | + | 0.924486i | ||||
\(449\) | 168984. | + | 247855.i | 0.838212 | + | 1.22943i | 0.971189 | + | 0.238312i | \(0.0765942\pi\) |
−0.132976 | + | 0.991119i | \(0.542453\pi\) | |||||||
\(450\) | −9509.61 | − | 712.647i | −0.0469610 | − | 0.00351924i | ||||
\(451\) | 9069.16 | + | 39734.6i | 0.0445876 | + | 0.195351i | ||||
\(452\) | 57342.1 | − | 13088.0i | 0.280670 | − | 0.0640612i | ||||
\(453\) | −18095.3 | + | 241465.i | −0.0881798 | + | 1.17668i | ||||
\(454\) | −460866. | + | 314213.i | −2.23595 | + | 1.52445i | ||||
\(455\) | 192728. | − | 178826.i | 0.930942 | − | 0.863788i | ||||
\(456\) | −461682. | − | 181197.i | −2.22031 | − | 0.871407i | ||||
\(457\) | −164198. | + | 130944.i | −0.786207 | + | 0.626979i | −0.932050 | − | 0.362329i | \(-0.881982\pi\) |
0.145844 | + | 0.989308i | \(0.453410\pi\) | |||||||
\(458\) | 264001. | − | 19784.2i | 1.25856 | − | 0.0943162i | ||||
\(459\) | 24275.4 | + | 78698.8i | 0.115223 | + | 0.373545i | ||||
\(460\) | −48952.4 | + | 324778.i | −0.231344 | + | 1.53487i | ||||
\(461\) | −57319.6 | − | 53184.8i | −0.269713 | − | 0.250257i | 0.533708 | − | 0.845669i | \(-0.320798\pi\) |
−0.803420 | + | 0.595412i | \(0.796989\pi\) | |||||||
\(462\) | −103424. | − | 214762.i | −0.484549 | − | 1.00618i | ||||
\(463\) | −42526.8 | − | 282147.i | −0.198381 | − | 1.31617i | −0.837234 | − | 0.546845i | \(-0.815829\pi\) |
0.638852 | − | 0.769329i | \(-0.279409\pi\) | |||||||
\(464\) | 71322.3 | − | 104611.i | 0.331276 | − | 0.485892i | ||||
\(465\) | −175398. | + | 219942.i | −0.811182 | + | 1.01719i | ||||
\(466\) | −103828. | − | 179835.i | −0.478124 | − | 0.828135i | ||||
\(467\) | −49509.9 | − | 28584.5i | −0.227017 | − | 0.131068i | 0.382178 | − | 0.924089i | \(-0.375174\pi\) |
−0.609195 | + | 0.793020i | \(0.708507\pi\) | |||||||
\(468\) | 25784.6 | + | 65698.2i | 0.117725 | + | 0.299959i | ||||
\(469\) | −38646.8 | + | 80250.8i | −0.175698 | + | 0.364841i | ||||
\(470\) | 102094. | + | 31491.9i | 0.462174 | + | 0.142562i | ||||
\(471\) | 36782.3 | − | 161154.i | 0.165805 | − | 0.726438i | ||||
\(472\) | − | 393230.i | − | 1.76507i | ||||||
\(473\) | 116712. | − | 83665.1i | 0.521665 | − | 0.373957i | ||||
\(474\) | 334981. | 1.49095 | ||||||||
\(475\) | 80852.6 | + | 18454.1i | 0.358350 | + | 0.0817910i | ||||
\(476\) | −51027.4 | + | 165427.i | −0.225211 | + | 0.730116i | ||||
\(477\) | −33330.4 | − | 16051.1i | −0.146488 | − | 0.0705451i | ||||
\(478\) | 131764. | − | 51713.4i | 0.576687 | − | 0.226333i | ||||
\(479\) | −136532. | + | 236481.i | −0.595066 | + | 1.03068i | 0.398472 | + | 0.917181i | \(0.369541\pi\) |
−0.993538 | + | 0.113503i | \(0.963793\pi\) | |||||||
\(480\) | −68743.5 | + | 39689.1i | −0.298366 | + | 0.172262i | ||||
\(481\) | 357815. | + | 285348.i | 1.54657 | + | 1.23335i | ||||
\(482\) | −263130. | − | 179399.i | −1.13260 | − | 0.772193i | ||||
\(483\) | 224134. | − | 33782.8i | 0.960758 | − | 0.144811i | ||||
\(484\) | −233637. | + | 112514.i | −0.997359 | + | 0.480303i | ||||
\(485\) | 9852.68 | − | 10618.7i | 0.0418862 | − | 0.0451426i | ||||
\(486\) | −89843.8 | − | 13541.8i | −0.380378 | − | 0.0573328i | ||||
\(487\) | −96782.0 | + | 29853.3i | −0.408072 | + | 0.125873i | −0.491993 | − | 0.870599i | \(-0.663732\pi\) |
0.0839217 | + | 0.996472i | \(0.473255\pi\) | |||||||
\(488\) | −24942.8 | − | 332838.i | −0.104738 | − | 1.39763i | ||||
\(489\) | 272241. | + | 341379.i | 1.13851 | + | 1.42764i | ||||
\(490\) | 7396.30 | − | 18845.5i | 0.0308051 | − | 0.0784901i | ||||
\(491\) | −115905. | − | 124915.i | −0.480770 | − | 0.518147i | 0.445360 | − | 0.895352i | \(-0.353076\pi\) |
−0.926130 | + | 0.377205i | \(0.876885\pi\) | |||||||
\(492\) | 84576.0 | + | 124050.i | 0.349395 | + | 0.512468i | ||||
\(493\) | −90064.6 | − | 6749.41i | −0.370562 | − | 0.0277698i | ||||
\(494\) | −209125. | − | 916237.i | −0.856944 | − | 3.75452i | ||||
\(495\) | 15176.8 | − | 3464.02i | 0.0619400 | − | 0.0141374i | ||||
\(496\) | −17238.5 | + | 230032.i | −0.0700707 | + | 0.935028i | ||||
\(497\) | 312565. | − | 213103.i | 1.26540 | − | 0.862734i | ||||
\(498\) | 74417.3 | − | 69049.2i | 0.300065 | − | 0.278420i | ||||
\(499\) | 104396. | + | 40972.5i | 0.419260 | + | 0.164548i | 0.565587 | − | 0.824689i | \(-0.308650\pi\) |
−0.146326 | + | 0.989236i | \(0.546745\pi\) | |||||||
\(500\) | −397982. | + | 317380.i | −1.59193 | + | 1.26952i | ||||
\(501\) | 95859.2 | − | 7183.66i | 0.381908 | − | 0.0286200i | ||||
\(502\) | −48546.9 | − | 157385.i | −0.192643 | − | 0.624534i | ||||
\(503\) | −39416.4 | + | 261511.i | −0.155791 | + | 1.03360i | 0.765137 | + | 0.643868i | \(0.222671\pi\) |
−0.920927 | + | 0.389735i | \(0.872567\pi\) | |||||||
\(504\) | −30837.0 | − | 28612.6i | −0.121398 | − | 0.112641i | ||||
\(505\) | 75890.5 | + | 157588.i | 0.297581 | + | 0.617933i | ||||
\(506\) | 39426.6 | + | 261579.i | 0.153989 | + | 1.02165i | ||||
\(507\) | −192799. | + | 282784.i | −0.750046 | + | 1.10012i | ||||
\(508\) | 150354. | − | 188537.i | 0.582621 | − | 0.730584i | ||||
\(509\) | −205839. | − | 356524.i | −0.794497 | − | 1.37611i | −0.923158 | − | 0.384421i | \(-0.874401\pi\) |
0.128660 | − | 0.991689i | \(-0.458932\pi\) | |||||||
\(510\) | −146711. | − | 84703.9i | −0.564058 | − | 0.325659i | ||||
\(511\) | −160341. | − | 408542.i | −0.614048 | − | 1.56457i | ||||
\(512\) | −140974. | + | 292736.i | −0.537775 | + | 1.11670i | ||||
\(513\) | 354741. | + | 109423.i | 1.34796 | + | 0.415791i | ||||
\(514\) | −95626.8 | + | 418968.i | −0.361954 | + | 1.58582i | ||||
\(515\) | 304184.i | 1.14689i | ||||||||
\(516\) | 287621. | − | 443975.i | 1.08024 | − | 1.66747i | ||||
\(517\) | 56198.4 | 0.210253 | ||||||||
\(518\) | −567282. | − | 129478.i | −2.11417 | − | 0.482545i | ||||
\(519\) | 100776. | − | 326709.i | 0.374131 | − | 1.21290i | ||||
\(520\) | 477425. | + | 229916.i | 1.76562 | + | 0.850280i | ||||
\(521\) | −355348. | + | 139464.i | −1.30912 | + | 0.513791i | −0.914326 | − | 0.404980i | \(-0.867279\pi\) |
−0.394792 | + | 0.918770i | \(0.629183\pi\) | |||||||
\(522\) | 23406.8 | − | 40541.7i | 0.0859014 | − | 0.148786i | ||||
\(523\) | −409037. | + | 236158.i | −1.49541 | + | 0.863373i | −0.999986 | − | 0.00528079i | \(-0.998319\pi\) |
−0.495420 | + | 0.868654i | \(0.664986\pi\) | |||||||
\(524\) | 292393. | + | 233176.i | 1.06489 | + | 0.849220i | ||||
\(525\) | 56874.0 | + | 38776.0i | 0.206346 | + | 0.140684i | ||||
\(526\) | 233707. | − | 35225.7i | 0.844695 | − | 0.127317i | ||||
\(527\) | 148257. | − | 71396.6i | 0.533818 | − | 0.257073i | ||||
\(528\) | 84964.6 | − | 91570.1i | 0.304769 | − | 0.328462i | ||||
\(529\) | 27978.7 | + | 4217.11i | 0.0999806 | + | 0.0150697i | ||||
\(530\) | −566151. | + | 174634.i | −2.01549 | + | 0.621696i | ||||
\(531\) | −2825.07 | − | 37697.9i | −0.0100194 | − | 0.133699i | ||||
\(532\) | 486537. | + | 610098.i | 1.71906 | + | 2.15564i | ||||
\(533\) | −48726.8 | + | 124154.i | −0.171519 | + | 0.437024i | ||||
\(534\) | −609078. | − | 656430.i | −2.13595 | − | 2.30200i | ||||
\(535\) | 112338. | + | 164769.i | 0.392480 | + | 0.575662i | ||||
\(536\) | −179023. | − | 13415.9i | −0.623130 | − | 0.0466971i | ||||
\(537\) | −50940.6 | − | 223185.i | −0.176651 | − | 0.773957i | ||||
\(538\) | −475841. | + | 108608.i | −1.64398 | + | 0.375229i | ||||
\(539\) | 795.788 | − | 10619.1i | 0.00273918 | − | 0.0365518i | ||||
\(540\) | −368909. | + | 251518.i | −1.26512 | + | 0.862544i | ||||
\(541\) | 177836. | − | 165007.i | 0.607609 | − | 0.563779i | −0.315205 | − | 0.949023i | \(-0.602073\pi\) |
0.922815 | + | 0.385245i | \(0.125883\pi\) | |||||||
\(542\) | 448706. | + | 176104.i | 1.52744 | + | 0.599475i | ||||
\(543\) | −21784.6 | + | 17372.6i | −0.0738839 | + | 0.0589204i | ||||
\(544\) | 46301.4 | − | 3469.81i | 0.156457 | − | 0.0117249i | ||||
\(545\) | −35383.3 | − | 114710.i | −0.119126 | − | 0.386196i | ||||
\(546\) | 116260. | − | 771336.i | 0.389983 | − | 2.58737i | ||||
\(547\) | −182663. | − | 169486.i | −0.610486 | − | 0.566449i | 0.313157 | − | 0.949701i | \(-0.398613\pi\) |
−0.923643 | + | 0.383253i | \(0.874804\pi\) | |||||||
\(548\) | 50473.8 | + | 104810.i | 0.168076 | + | 0.349013i | ||||
\(549\) | −4782.40 | − | 31729.1i | −0.0158672 | − | 0.105272i | ||||
\(550\) | −45254.1 | + | 66375.5i | −0.149600 | + | 0.219423i | ||||
\(551\) | −253830. | + | 318293.i | −0.836066 | + | 1.04839i | ||||
\(552\) | 228423. | + | 395641.i | 0.749657 | + | 1.29844i | ||||
\(553\) | −213983. | − | 123543.i | −0.699727 | − | 0.403988i | ||||
\(554\) | 81730.7 | + | 208247.i | 0.266297 | + | 0.678513i | ||||
\(555\) | 161347. | − | 335041.i | 0.523812 | − | 1.08771i | ||||
\(556\) | −265176. | − | 81796.0i | −0.857798 | − | 0.264596i | ||||
\(557\) | −27135.5 | + | 118889.i | −0.0874637 | + | 0.383204i | −0.999647 | − | 0.0265795i | \(-0.991538\pi\) |
0.912183 | + | 0.409783i | \(0.134396\pi\) | |||||||
\(558\) | 85291.4i | 0.273928i | ||||||||
\(559\) | 469799. | − | 11065.4i | 1.50345 | − | 0.0354116i | ||||
\(560\) | −175171. | −0.558580 | ||||||||
\(561\) | −86874.3 | − | 19828.5i | −0.276036 | − | 0.0630034i | ||||
\(562\) | 170791. | − | 553690.i | 0.540744 | − | 1.75305i | ||||
\(563\) | −180550. | − | 86948.1i | −0.569613 | − | 0.274311i | 0.126829 | − | 0.991925i | \(-0.459520\pi\) |
−0.696441 | + | 0.717614i | \(0.745234\pi\) | |||||||
\(564\) | 192712. | − | 75634.1i | 0.605831 | − | 0.237771i | ||||
\(565\) | 21227.1 | − | 36766.4i | 0.0664957 | − | 0.115174i | ||||
\(566\) | 393475. | − | 227173.i | 1.22824 | − | 0.709127i | ||||
\(567\) | 268685. | + | 214270.i | 0.835753 | + | 0.666491i | ||||
\(568\) | 629977. | + | 429511.i | 1.95267 | + | 1.33131i | ||||
\(569\) | 91675.4 | − | 13817.8i | 0.283158 | − | 0.0426792i | −0.00592783 | − | 0.999982i | \(-0.501887\pi\) |
0.289086 | + | 0.957303i | \(0.406649\pi\) | |||||||
\(570\) | −687998. | + | 331322.i | −2.11757 | + | 1.01977i | ||||
\(571\) | −385545. | + | 415519.i | −1.18251 | + | 1.27444i | −0.228876 | + | 0.973456i | \(0.573505\pi\) |
−0.953630 | + | 0.300983i | \(0.902685\pi\) | |||||||
\(572\) | 587907. | + | 88612.7i | 1.79687 | + | 0.270834i | ||||
\(573\) | −134549. | + | 41502.7i | −0.409798 | + | 0.126406i | ||||
\(574\) | −12672.0 | − | 169096.i | −0.0384611 | − | 0.513228i | ||||
\(575\) | −47628.8 | − | 59724.6i | −0.144057 | − | 0.180641i | ||||
\(576\) | −17918.1 | + | 45654.5i | −0.0540066 | + | 0.137607i | ||||
\(577\) | 207167. | + | 223273.i | 0.622257 | + | 0.670633i | 0.962993 | − | 0.269526i | \(-0.0868669\pi\) |
−0.340737 | + | 0.940159i | \(0.610676\pi\) | |||||||
\(578\) | −263700. | − | 386777.i | −0.789323 | − | 1.15772i | ||||
\(579\) | −18504.1 | − | 1386.69i | −0.0551963 | − | 0.00413639i | ||||
\(580\) | −108956. | − | 477367.i | −0.323888 | − | 1.41904i | ||||
\(581\) | −73002.9 | + | 16662.4i | −0.216266 | + | 0.0493613i | ||||
\(582\) | 3211.75 | − | 42857.8i | 0.00948191 | − | 0.126527i | ||||
\(583\) | −257490. | + | 175553.i | −0.757570 | + | 0.516502i | ||||
\(584\) | 648433. | − | 601658.i | 1.90125 | − | 1.76410i | ||||
\(585\) | 47421.2 | + | 18611.5i | 0.138567 | + | 0.0543837i | ||||
\(586\) | −11774.9 | + | 9390.18i | −0.0342896 | + | 0.0273450i | ||||
\(587\) | 253111. | − | 18968.0i | 0.734572 | − | 0.0550486i | 0.297809 | − | 0.954625i | \(-0.403744\pi\) |
0.436763 | + | 0.899577i | \(0.356125\pi\) | |||||||
\(588\) | −11562.7 | − | 37485.3i | −0.0334429 | − | 0.108419i | ||||
\(589\) | 110550. | − | 733449.i | 0.318660 | − | 2.11417i | ||||
\(590\) | −443820. | − | 411804.i | −1.27498 | − | 1.18301i | ||||
\(591\) | 215342. | + | 447163.i | 0.616531 | + | 1.28024i | ||||
\(592\) | −45447.1 | − | 301522.i | −0.129677 | − | 0.860350i | ||||
\(593\) | 147739. | − | 216693.i | 0.420132 | − | 0.616220i | −0.556575 | − | 0.830797i | \(-0.687885\pi\) |
0.976707 | + | 0.214577i | \(0.0688373\pi\) | |||||||
\(594\) | −224212. | + | 281153.i | −0.635456 | + | 0.796836i | ||||
\(595\) | 62478.7 | + | 108216.i | 0.176481 | + | 0.305674i | ||||
\(596\) | −840079. | − | 485020.i | −2.36498 | − | 1.36542i | ||||
\(597\) | −180780. | − | 460620.i | −0.507226 | − | 1.29239i | ||||
\(598\) | −375601. | + | 779944.i | −1.05033 | + | 2.18103i | ||||
\(599\) | −127422. | − | 39304.6i | −0.355134 | − | 0.109544i | 0.112054 | − | 0.993702i | \(-0.464257\pi\) |
−0.467189 | + | 0.884158i | \(0.654733\pi\) | |||||||
\(600\) | −30871.9 | + | 135259.i | −0.0857553 | + | 0.375719i | ||||
\(601\) | 20176.2i | 0.0558586i | 0.999610 | + | 0.0279293i | \(0.00889133\pi\) | ||||
−0.999610 | + | 0.0279293i | \(0.991109\pi\) | |||||||
\(602\) | −532045. | + | 271834.i | −1.46810 | + | 0.750086i | ||||
\(603\) | −17258.8 | −0.0474653 | ||||||||
\(604\) | 748619. | + | 170867.i | 2.05204 | + | 0.468366i | ||||
\(605\) | −55171.3 | + | 178861.i | −0.150731 | + | 0.488658i | ||||
\(606\) | 467557. | + | 225164.i | 1.27318 | + | 0.613131i | ||||
\(607\) | 316001. | − | 124021.i | 0.857651 | − | 0.336603i | 0.104559 | − | 0.994519i | \(-0.466657\pi\) |
0.753092 | + | 0.657915i | \(0.228562\pi\) | |||||||
\(608\) | 104646. | − | 181253.i | 0.283085 | − | 0.490318i | ||||
\(609\) | −292638. | + | 168955.i | −0.789036 | + | 0.455550i | ||||
\(610\) | −401779. | − | 320408.i | −1.07976 | − | 0.861081i | ||||
\(611\) | 151951. | + | 103598.i | 0.407024 | + | 0.277504i | ||||
\(612\) | −33169.2 | + | 4999.46i | −0.0885590 | + | 0.0133481i | ||||
\(613\) | −368033. | + | 177235.i | −0.979412 | + | 0.471660i | −0.853903 | − | 0.520432i | \(-0.825771\pi\) |
−0.125509 | + | 0.992092i | \(0.540057\pi\) | |||||||
\(614\) | −615174. | + | 662999.i | −1.63178 | + | 1.75864i | ||||
\(615\) | 107160. | + | 16151.8i | 0.283324 | + | 0.0427042i | ||||
\(616\) | −338630. | + | 104454.i | −0.892409 | + | 0.275272i | ||||
\(617\) | −11709.5 | − | 156253.i | −0.0307588 | − | 0.410448i | −0.991237 | − | 0.132093i | \(-0.957830\pi\) |
0.960478 | − | 0.278354i | \(-0.0897889\pi\) | |||||||
\(618\) | 562701. | + | 705604.i | 1.47333 | + | 1.84750i | ||||
\(619\) | 52241.1 | − | 133108.i | 0.136342 | − | 0.347395i | −0.846353 | − | 0.532622i | \(-0.821207\pi\) |
0.982696 | + | 0.185227i | \(0.0593021\pi\) | |||||||
\(620\) | 606782. | + | 653956.i | 1.57852 | + | 1.70124i | ||||
\(621\) | −192629. | − | 282535.i | −0.499503 | − | 0.732637i | ||||
\(622\) | 1.12559e6 | + | 84351.1i | 2.90937 | + | 0.218027i | ||||
\(623\) | 146978. | + | 643954.i | 0.378684 | + | 1.65912i | ||||
\(624\) | 398533. | − | 90962.6i | 1.02352 | − | 0.233611i | ||||
\(625\) | −20343.9 | + | 271471.i | −0.0520805 | + | 0.694965i | ||||
\(626\) | 82278.2 | − | 56096.3i | 0.209960 | − | 0.143148i | ||||
\(627\) | −294441. | + | 273201.i | −0.748967 | + | 0.694940i | ||||
\(628\) | −487952. | − | 191507.i | −1.23725 | − | 0.485585i | ||||
\(629\) | −170063. | + | 135621.i | −0.429842 | + | 0.342787i | ||||
\(630\) | −64587.2 | + | 4840.14i | −0.162729 | + | 0.0121949i | ||||
\(631\) | 92248.3 | + | 299062.i | 0.231686 | + | 0.751107i | 0.994523 | + | 0.104517i | \(0.0333296\pi\) |
−0.762837 | + | 0.646591i | \(0.776194\pi\) | |||||||
\(632\) | 74223.7 | − | 492442.i | 0.185827 | − | 1.23288i | ||||
\(633\) | −134828. | − | 125102.i | −0.336491 | − | 0.312218i | ||||
\(634\) | −470873. | − | 977777.i | −1.17145 | − | 2.43255i | ||||
\(635\) | −25942.6 | − | 172118.i | −0.0643377 | − | 0.426853i | ||||
\(636\) | −646703. | + | 948539.i | −1.59879 | + | 2.34499i | ||||
\(637\) | 21727.2 | − | 27245.1i | 0.0535458 | − | 0.0671444i | ||||
\(638\) | −197181. | − | 341527.i | −0.484422 | − | 0.839043i | ||||
\(639\) | 63480.0 | + | 36650.2i | 0.155466 | + | 0.0897582i | ||||
\(640\) | 238115. | + | 606707.i | 0.581335 | + | 1.48122i | ||||
\(641\) | 228700. | − | 474900.i | 0.556609 | − | 1.15581i | −0.412905 | − | 0.910774i | \(-0.635486\pi\) |
0.969514 | − | 0.245036i | \(-0.0787998\pi\) | |||||||
\(642\) | 565385. | + | 174398.i | 1.37175 | + | 0.423128i | ||||
\(643\) | −122612. | + | 537198.i | −0.296559 | + | 1.29931i | 0.578655 | + | 0.815572i | \(0.303578\pi\) |
−0.875214 | + | 0.483736i | \(0.839280\pi\) | |||||||
\(644\) | − | 718794.i | − | 1.73314i | ||||||
\(645\) | −93708.1 | − | 370157.i | −0.225246 | − | 0.889746i | ||||
\(646\) | 446670. | 1.07034 | ||||||||
\(647\) | −155735. | − | 35545.6i | −0.372030 | − | 0.0849135i | 0.0324178 | − | 0.999474i | \(-0.489679\pi\) |
−0.404448 | + | 0.914561i | \(0.632536\pi\) | |||||||
\(648\) | −204163. | + | 661880.i | −0.486213 | + | 1.57627i | ||||
\(649\) | −286924. | − | 138175.i | −0.681205 | − | 0.328051i | ||||
\(650\) | −244718. | + | 96044.9i | −0.579215 | + | 0.227325i | ||||
\(651\) | 307826. | − | 533170.i | 0.726345 | − | 1.25807i | ||||
\(652\) | 1.19915e6 | − | 692328.i | 2.82083 | − | 1.62861i | ||||
\(653\) | 464668. | + | 370560.i | 1.08972 | + | 0.869026i | 0.992006 | − | 0.126188i | \(-0.0402744\pi\) |
0.0977176 | + | 0.995214i | \(0.468846\pi\) | |||||||
\(654\) | −294275. | − | 200633.i | −0.688014 | − | 0.469080i | ||||
\(655\) | 266929. | − | 40233.0i | 0.622175 | − | 0.0937778i | ||||
\(656\) | 80062.7 | − | 38556.2i | 0.186047 | − | 0.0895955i | ||||
\(657\) | 57841.1 | − | 62337.9i | 0.134000 | − | 0.144418i | ||||
\(658\) | −231206. | − | 34848.7i | −0.534008 | − | 0.0804887i | ||||
\(659\) | 715529. | − | 220712.i | 1.64762 | − | 0.508223i | 0.674450 | − | 0.738320i | \(-0.264381\pi\) |
0.973168 | + | 0.230098i | \(0.0739045\pi\) | |||||||
\(660\) | −36101.4 | − | 481739.i | −0.0828774 | − | 1.10592i | ||||
\(661\) | −448853. | − | 562844.i | −1.02731 | − | 1.28820i | −0.956817 | − | 0.290692i | \(-0.906114\pi\) |
−0.0704921 | − | 0.997512i | \(-0.522457\pi\) | |||||||
\(662\) | −45996.6 | + | 117197.i | −0.104957 | + | 0.267425i | ||||
\(663\) | −198340. | − | 213760.i | −0.451216 | − | 0.486295i | ||||
\(664\) | −85017.3 | − | 124698.i | −0.192829 | − | 0.282828i | ||||
\(665\) | 561681. | + | 42092.2i | 1.27012 | + | 0.0951827i | ||||
\(666\) | −25088.2 | − | 109918.i | −0.0565614 | − | 0.247812i | ||||
\(667\) | 365599. | − | 83445.6i | 0.821776 | − | 0.187565i | ||||
\(668\) | 22780.5 | − | 303985.i | 0.0510518 | − | 0.681239i | ||||
\(669\) | 597658. | − | 407477.i | 1.33537 | − | 0.910438i | ||||
\(670\) | −202621. | + | 188005.i | −0.451372 | + | 0.418812i | ||||
\(671\) | −251623. | − | 98754.8i | −0.558863 | − | 0.219338i | ||||
\(672\) | 135817. | − | 108310.i | 0.300756 | − | 0.239845i | ||||
\(673\) | 419941. | − | 31470.2i | 0.927168 | − | 0.0694816i | 0.397420 | − | 0.917637i | \(-0.369906\pi\) |
0.529748 | + | 0.848155i | \(0.322287\pi\) | |||||||
\(674\) | −226699. | − | 734941.i | −0.499034 | − | 1.61783i | ||||
\(675\) | 15477.4 | − | 102686.i | 0.0339696 | − | 0.225374i | ||||
\(676\) | 795613. | + | 738221.i | 1.74104 | + | 1.61545i | ||||
\(677\) | 275771. | + | 572644.i | 0.601688 | + | 1.24942i | 0.950062 | + | 0.312062i | \(0.101020\pi\) |
−0.348374 | + | 0.937356i | \(0.613266\pi\) | |||||||
\(678\) | −18773.3 | − | 124553.i | −0.0408396 | − | 0.270953i | ||||
\(679\) | −17857.9 | + | 26192.7i | −0.0387338 | + | 0.0568121i | ||||
\(680\) | −157027. | + | 196906.i | −0.339592 | + | 0.425835i | ||||
\(681\) | 390067. | + | 675616.i | 0.841095 | + | 1.45682i | ||||
\(682\) | 622242. | + | 359252.i | 1.33780 | + | 0.772379i | ||||
\(683\) | −192802. | − | 491251.i | −0.413304 | − | 1.05308i | −0.974298 | − | 0.225261i | \(-0.927676\pi\) |
0.560995 | − | 0.827819i | \(-0.310419\pi\) | |||||||
\(684\) | −65604.1 | + | 136228.i | −0.140223 | + | 0.291176i | ||||
\(685\) | 80237.3 | + | 24749.9i | 0.171000 | + | 0.0527464i | ||||
\(686\) | −182498. | + | 799576.i | −0.387802 | + | 1.69907i | ||||
\(687\) | − | 370274.i | − | 0.784529i | ||||||
\(688\) | −234470. | − | 207499.i | −0.495347 | − | 0.438368i | ||||
\(689\) | −1.01983e6 | −2.14827 | ||||||||
\(690\) | 685753. | + | 156519.i | 1.44036 | + | 0.328752i | ||||
\(691\) | −32856.4 | + | 106518.i | −0.0688119 | + | 0.223083i | −0.983446 | − | 0.181199i | \(-0.942002\pi\) |
0.914635 | + | 0.404282i | \(0.132478\pi\) | |||||||
\(692\) | −976845. | − | 470424.i | −2.03992 | − | 0.982374i | ||||
\(693\) | −31713.1 | + | 12446.5i | −0.0660348 | + | 0.0259167i | ||||
\(694\) | −307322. | + | 532297.i | −0.638079 | + | 1.10518i | ||||
\(695\) | −173469. | + | 100152.i | −0.359130 | + | 0.207344i | ||||
\(696\) | −532474. | − | 424634.i | −1.09921 | − | 0.876589i | ||||
\(697\) | −52375.2 | − | 35708.8i | −0.107810 | − | 0.0735039i | ||||
\(698\) | 619921. | − | 93438.1i | 1.27241 | − | 0.191784i | ||||
\(699\) | −261669. | + | 126013.i | −0.535548 | + | 0.257907i | ||||
\(700\) | 148472. | − | 160015.i | 0.303005 | − | 0.326562i | ||||
\(701\) | −324140. | − | 48856.3i | −0.659625 | − | 0.0994224i | −0.189305 | − | 0.981918i | \(-0.560623\pi\) |
−0.470320 | + | 0.882496i | \(0.655861\pi\) | |||||||
\(702\) | −1.12452e6 | + | 346867.i | −2.28187 | + | 0.703865i | ||||
\(703\) | 73271.7 | + | 977743.i | 0.148261 | + | 1.97840i | ||||
\(704\) | 257600. | + | 323021.i | 0.519758 | + | 0.651756i | ||||
\(705\) | 54593.0 | − | 139101.i | 0.109840 | − | 0.279867i | ||||
\(706\) | −210442. | − | 226803.i | −0.422206 | − | 0.455029i | ||||
\(707\) | −215630. | − | 316271.i | −0.431390 | − | 0.632733i | ||||
\(708\) | −1.16987e6 | − | 87669.5i | −2.33384 | − | 0.174897i | ||||
\(709\) | 168341. | + | 737550.i | 0.334886 | + | 1.46723i | 0.809543 | + | 0.587061i | \(0.199715\pi\) |
−0.474656 | + | 0.880171i | \(0.657428\pi\) | |||||||
\(710\) | 1.14450e6 | − | 261225.i | 2.27039 | − | 0.518201i | ||||
\(711\) | 3577.79 | − | 47742.4i | 0.00707744 | − | 0.0944419i | ||||
\(712\) | −1.09995e6 | + | 749932.i | −2.16976 | + | 1.47932i | ||||
\(713\) | −500843. | + | 464714.i | −0.985195 | + | 0.914127i | ||||
\(714\) | 345115. | + | 135448.i | 0.676966 | + | 0.265690i | ||||
\(715\) | 335521. | − | 267569.i | 0.656307 | − | 0.523387i | ||||
\(716\) | −723928. | + | 54250.9i | −1.41211 | + | 0.105823i | ||||
\(717\) | −58353.6 | − | 189178.i | −0.113509 | − | 0.367986i | ||||
\(718\) | −92617.8 | + | 614479.i | −0.179658 | + | 1.19195i | ||||
\(719\) | −135426. | − | 125657.i | −0.261966 | − | 0.243069i | 0.538244 | − | 0.842789i | \(-0.319088\pi\) |
−0.800210 | + | 0.599720i | \(0.795279\pi\) | |||||||
\(720\) | −14726.7 | − | 30580.4i | −0.0284081 | − | 0.0589899i | ||||
\(721\) | −99217.0 | − | 658262.i | −0.190860 | − | 1.26628i | ||||
\(722\) | 635628. | − | 932295.i | 1.21935 | − | 1.78846i | ||||
\(723\) | −277712. | + | 348240.i | −0.531273 | + | 0.666196i | ||||
\(724\) | 44179.9 | + | 76521.8i | 0.0842844 | + | 0.145985i | ||||
\(725\) | 98624.6 | + | 56940.9i | 0.187633 | + | 0.108330i | ||||
\(726\) | 202890. | + | 516956.i | 0.384936 | + | 0.980800i | ||||
\(727\) | 147235. | − | 305736.i | 0.278575 | − | 0.578466i | −0.713994 | − | 0.700152i | \(-0.753116\pi\) |
0.992569 | + | 0.121686i | \(0.0388300\pi\) | |||||||
\(728\) | −1.10815e6 | − | 341819.i | −2.09091 | − | 0.644961i | ||||
\(729\) | 101907. | − | 446485.i | 0.191757 | − | 0.840141i | ||||
\(730\) | − | 1.36193e6i | − | 2.55570i | ||||||
\(731\) | −44558.7 | + | 218859.i | −0.0833868 | + | 0.409571i | ||||
\(732\) | −995761. | −1.85837 | ||||||||
\(733\) | 527614. | + | 120424.i | 0.981993 | + | 0.224133i | 0.683237 | − | 0.730196i | \(-0.260571\pi\) |
0.298755 | + | 0.954330i | \(0.403429\pi\) | |||||||
\(734\) | −363413. | + | 1.17816e6i | −0.674541 | + | 2.18681i | ||||
\(735\) | −25511.0 | − | 12285.4i | −0.0472229 | − | 0.0227413i | ||||
\(736\) | −179458. | + | 70432.1i | −0.331289 | + | 0.130021i | ||||
\(737\) | −72695.1 | + | 125912.i | −0.133835 | + | 0.231809i | ||||
\(738\) | 28454.6 | − | 16428.3i | 0.0522444 | − | 0.0301633i | ||||
\(739\) | 260831. | + | 208006.i | 0.477607 | + | 0.380879i | 0.832497 | − | 0.554029i | \(-0.186910\pi\) |
−0.354891 | + | 0.934908i | \(0.615482\pi\) | |||||||
\(740\) | −974342. | − | 664295.i | −1.77930 | − | 1.21310i | ||||
\(741\) | −1.29974e6 | + | 195905.i | −2.36713 | + | 0.356787i | ||||
\(742\) | 1.16820e6 | − | 562576.i | 2.12183 | − | 1.02182i | ||||
\(743\) | 144064. | − | 155264.i | 0.260963 | − | 0.281251i | −0.588956 | − | 0.808165i | \(-0.700461\pi\) |
0.849918 | + | 0.526914i | \(0.176651\pi\) | |||||||
\(744\) | 1.22699e6 | + | 184939.i | 2.21664 | + | 0.334105i | ||||
\(745\) | −669072. | + | 206381.i | −1.20548 | + | 0.371842i | ||||
\(746\) | 65361.6 | + | 872190.i | 0.117448 | + | 1.56723i | ||||
\(747\) | −9046.25 | − | 11343.6i | −0.0162117 | − | 0.0203288i | ||||
\(748\) | −103237. | + | 263044.i | −0.184515 | + | 0.470138i | ||||
\(749\) | −296844. | − | 319922.i | −0.529133 | − | 0.570270i | ||||
\(750\) | 614096. | + | 900714.i | 1.09173 | + | 1.60127i | ||||
\(751\) | 24914.9 | + | 1867.11i | 0.0441752 | + | 0.00331047i | 0.0967994 | − | 0.995304i | \(-0.469139\pi\) |
−0.0526242 | + | 0.998614i | \(0.516759\pi\) | |||||||
\(752\) | −27265.8 | − | 119459.i | −0.0482151 | − | 0.211244i | ||||
\(753\) | −224581. | + | 51259.2i | −0.396080 | + | 0.0904028i | ||||
\(754\) | 96441.4 | − | 1.28692e6i | 0.169637 | − | 2.26365i | ||||
\(755\) | 457945. | − | 312222.i | 0.803377 | − | 0.547733i | ||||
\(756\) | 716288. | − | 664618.i | 1.25327 | − | 1.16286i | ||||
\(757\) | −168434. | − | 66105.6i | −0.293926 | − | 0.115358i | 0.213796 | − | 0.976878i | \(-0.431417\pi\) |
−0.507722 | + | 0.861521i | \(0.669512\pi\) | |||||||
\(758\) | 580491. | − | 462926.i | 1.01031 | − | 0.805699i | ||||
\(759\) | 368948. | − | 27648.8i | 0.640445 | − | 0.0479947i | ||||
\(760\) | 334620. | + | 1.08481e6i | 0.579328 | + | 1.87814i | ||||
\(761\) | −88932.9 | + | 590031.i | −0.153565 | + | 1.01884i | 0.770730 | + | 0.637162i | \(0.219892\pi\) |
−0.924296 | + | 0.381678i | \(0.875346\pi\) | |||||||
\(762\) | −378573. | − | 351264.i | −0.651988 | − | 0.604956i | ||||
\(763\) | 113985. | + | 236693.i | 0.195794 | + | 0.406571i | ||||
\(764\) | 66549.2 | + | 441525.i | 0.114014 | + | 0.756430i | ||||
\(765\) | −13639.2 | + | 20005.0i | −0.0233059 | + | 0.0341835i | ||||
\(766\) | 133461. | − | 167355.i | 0.227456 | − | 0.285221i | ||||
\(767\) | −521076. | − | 902529.i | −0.885748 | − | 1.53416i | ||||
\(768\) | 974516. | + | 562637.i | 1.65221 | + | 0.953907i | ||||
\(769\) | 201581. | + | 513620.i | 0.340876 | + | 0.868539i | 0.993807 | + | 0.111121i | \(0.0354441\pi\) |
−0.652930 | + | 0.757418i | \(0.726461\pi\) | |||||||
\(770\) | −236734. | + | 491582.i | −0.399281 | + | 0.829115i | ||||
\(771\) | 574345. | + | 177162.i | 0.966194 | + | 0.298031i | ||||
\(772\) | −13094.0 | + | 57368.6i | −0.0219704 | + | 0.0962587i | ||||
\(773\) | 111976.i | 0.187399i | 0.995601 | + | 0.0936996i | \(0.0298693\pi\) | ||||
−0.995601 | + | 0.0936996i | \(0.970131\pi\) | |||||||
\(774\) | −92184.8 | − | 70028.3i | −0.153878 | − | 0.116894i | ||||
\(775\) | −207486. | −0.345450 | ||||||||
\(776\) | −62291.9 | − | 14217.7i | −0.103445 | − | 0.0236106i | ||||
\(777\) | −239877. | + | 777662.i | −0.397326 | + | 1.28810i | ||||
\(778\) | −934151. | − | 449863.i | −1.54333 | − | 0.743227i | ||||
\(779\) | −265984. | + | 104391.i | −0.438309 | + | 0.172024i | ||||
\(780\) | 790444. | − | 1.36909e6i | 1.29922 | − | 2.25031i | ||||
\(781\) | 534762. | − | 308745.i | 0.876715 | − | 0.506172i | ||||
\(782\) | −321675. | − | 256528.i | −0.526022 | − | 0.419489i | ||||
\(783\) | 421198. | + | 287168.i | 0.687010 | + | 0.468395i | ||||
\(784\) | −22958.7 | + | 3460.47i | −0.0373522 | + | 0.00562994i | ||||
\(785\) | −340891. | + | 164164.i | −0.553192 | + | 0.266403i | ||||
\(786\) | 544758. | − | 587109.i | 0.881776 | − | 0.950329i | ||||
\(787\) | −278311. | − | 41948.6i | −0.449346 | − | 0.0677280i | −0.0795289 | − | 0.996833i | \(-0.525342\pi\) |
−0.369817 | + | 0.929105i | \(0.620580\pi\) | |||||||
\(788\) | 1.50397e6 | − | 463913.i | 2.42207 | − | 0.747109i | ||||
\(789\) | −24702.8 | − | 329636.i | −0.0396819 | − | 0.529518i | ||||
\(790\) | −478065. | − | 599475.i | −0.766008 | − | 0.960543i | ||||
\(791\) | −33943.7 | + | 86487.0i | −0.0542508 | + | 0.138229i | ||||
\(792\) | −46703.8 | − | 50334.7i | −0.0744564 | − | 0.0802449i | ||||
\(793\) | −498297. | − | 730867.i | −0.792395 | − | 1.16223i | ||||
\(794\) | 655.639 | + | 49.1334i | 0.00103998 | + | 7.79356e-5i | ||||
\(795\) | 184391. | + | 807871.i | 0.291747 | + | 1.27823i | ||||
\(796\) | −1.52983e6 | + | 349173.i | −2.41444 | + | 0.551081i | ||||
\(797\) | 44821.0 | − | 598095.i | 0.0705610 | − | 0.941571i | −0.843796 | − | 0.536663i | \(-0.819684\pi\) |
0.914357 | − | 0.404908i | \(-0.132696\pi\) | |||||||
\(798\) | 1.38077e6 | − | 941395.i | 2.16829 | − | 1.47831i | ||||
\(799\) | −64074.1 | + | 59452.1i | −0.100367 | + | 0.0931265i | ||||
\(800\) | −54498.6 | − | 21389.1i | −0.0851540 | − | 0.0334205i | ||||
\(801\) | −100061. | + | 79796.4i | −0.155956 | + | 0.124371i | ||||
\(802\) | −760929. | + | 57023.8i | −1.18303 | + | 0.0886558i | ||||
\(803\) | −211156. | − | 684550.i | −0.327470 | − | 1.06163i | ||||
\(804\) | −79825.2 | + | 529605.i | −0.123489 | + | 0.819295i | ||||
\(805\) | −380328. | − | 352893.i | −0.586904 | − | 0.544567i | ||||
\(806\) | 1.02018e6 | + | 2.11842e6i | 1.57038 | + | 3.26093i | ||||
\(807\) | 101742. | + | 675013.i | 0.156226 | + | 1.03649i | ||||
\(808\) | 434604. | − | 637446.i | 0.665688 | − | 0.976385i | ||||
\(809\) | 224502. | − | 281517.i | 0.343023 | − | 0.430137i | −0.580157 | − | 0.814505i | \(-0.697009\pi\) |
0.923180 | + | 0.384367i | \(0.125580\pi\) | |||||||
\(810\) | 533225. | + | 923573.i | 0.812719 | + | 1.40767i | ||||
\(811\) | 528839. | + | 305325.i | 0.804047 | + | 0.464217i | 0.844884 | − | 0.534949i | \(-0.179669\pi\) |
−0.0408371 | + | 0.999166i | \(0.513002\pi\) | |||||||
\(812\) | 391487. | + | 997493.i | 0.593753 | + | 1.51286i | ||||
\(813\) | 292513. | − | 607410.i | 0.442552 | − | 0.918969i | ||||
\(814\) | −907581. | − | 279952.i | −1.36973 | − | 0.422507i | ||||
\(815\) | 222399. | − | 974393.i | 0.334825 | − | 1.46696i | ||||
\(816\) | 194287.i | 0.291785i | ||||||||
\(817\) | 701961. | + | 721681.i | 1.05164 | + | 1.08119i | ||||
\(818\) | 1.73530e6 | 2.59339 | ||||||||
\(819\) | −108691. | − | 24808.0i | −0.162042 | − | 0.0369849i | ||||
\(820\) | 101296. | − | 328393.i | 0.150648 | − | 0.488389i | ||||
\(821\) | −1.04912e6 | − | 505228.i | −1.55646 | − | 0.749551i | −0.559602 | − | 0.828762i | \(-0.689046\pi\) |
−0.996858 | + | 0.0792102i | \(0.974760\pi\) | |||||||
\(822\) | 231907. | − | 91016.9i | 0.343218 | − | 0.134703i | ||||
\(823\) | 117901. | − | 204211.i | 0.174068 | − | 0.301495i | −0.765770 | − | 0.643114i | \(-0.777642\pi\) |
0.939838 | + | 0.341620i | \(0.110975\pi\) | |||||||
\(824\) | 1.16196e6 | − | 670859.i | 1.71134 | − | 0.988045i | ||||
\(825\) | 87844.9 | + | 70054.0i | 0.129065 | + | 0.102926i | ||||
\(826\) | 1.09476e6 | + | 746391.i | 1.60456 | + | 1.09397i | ||||
\(827\) | −1.06827e6 | + | 161016.i | −1.56197 | + | 0.235429i | −0.872400 | − | 0.488793i | \(-0.837437\pi\) |
−0.689567 | + | 0.724222i | \(0.742199\pi\) | |||||||
\(828\) | 125483. | − | 60429.5i | 0.183031 | − | 0.0881431i | ||||
\(829\) | 107533. | − | 115893.i | 0.156471 | − | 0.168636i | −0.649951 | − | 0.759976i | \(-0.725211\pi\) |
0.806422 | + | 0.591341i | \(0.201401\pi\) | |||||||
\(830\) | −229773. | − | 34632.7i | −0.333536 | − | 0.0502725i | ||||
\(831\) | 298986. | − | 92225.1i | 0.432962 | − | 0.133551i | ||||
\(832\) | 101038. | + | 1.34826e6i | 0.145962 | + | 1.94772i | ||||
\(833\) | 10326.6 | + | 12949.1i | 0.0148821 | + | 0.0186616i | ||||
\(834\) | −217120. | + | 553213.i | −0.312153 | + | 0.795353i | ||||
\(835\) | −149661. | − | 161296.i | −0.214652 | − | 0.231340i | ||||
\(836\) | 717524. | + | 1.05241e6i | 1.02665 | + | 1.50582i | ||||
\(837\) | −926187. | − | 69408.1i | −1.32205 | − | 0.0990740i | ||||
\(838\) | −242039. | − | 1.06044e6i | −0.344666 | − | 1.51008i | ||||
\(839\) | 134966. | − | 30805.1i | 0.191734 | − | 0.0437621i | −0.125575 | − | 0.992084i | \(-0.540078\pi\) |
0.317310 | + | 0.948322i | \(0.397221\pi\) | |||||||
\(840\) | −70416.1 | + | 939638.i | −0.0997961 | + | 1.33169i | ||||
\(841\) | 122478. | − | 83504.0i | 0.173167 | − | 0.118063i | ||||
\(842\) | −1.07278e6 | + | 995399.i | −1.51317 | + | 1.40402i | ||||
\(843\) | −754387. | − | 296075.i | −1.06155 | − | 0.416627i | ||||
\(844\) | −456013. | + | 363659.i | −0.640166 | + | 0.510516i | ||||
\(845\) | 781215. | − | 58544.0i | 1.09410 | − | 0.0819915i | ||||
\(846\) | −13354.0 | − | 43292.5i | −0.0186582 | − | 0.0604884i | ||||
\(847\) | 61052.1 | − | 405055.i | 0.0851009 | − | 0.564608i | ||||
\(848\) | 498096. | + | 462165.i | 0.692662 | + | 0.642696i | ||||
\(849\) | −275715. | − | 572529.i | −0.382513 | − | 0.794295i | ||||
\(850\) | −18622.4 | − | 123552.i | −0.0257750 | − | 0.171006i | ||||
\(851\) | 508762. | − | 746216.i | 0.702514 | − | 1.03040i | ||||
\(852\) | 1.41826e6 | − | 1.77844e6i | 1.95378 | − | 2.44996i | ||||
\(853\) | 259751. | + | 449902.i | 0.356992 | + | 0.618329i | 0.987457 | − | 0.157889i | \(-0.0504689\pi\) |
−0.630464 | + | 0.776218i | \(0.717136\pi\) | |||||||
\(854\) | 973967. | + | 562320.i | 1.33545 | + | 0.771024i | ||||
\(855\) | 39872.7 | + | 101594.i | 0.0545435 | + | 0.138975i | ||||
\(856\) | 381652. | − | 792508.i | 0.520858 | − | 1.08157i | ||||
\(857\) | 744279. | + | 229580.i | 1.01338 | + | 0.312587i | 0.756598 | − | 0.653881i | \(-0.226860\pi\) |
0.256786 | + | 0.966468i | \(0.417336\pi\) | |||||||
\(858\) | 283327. | − | 1.24134e6i | 0.384869 | − | 1.68622i | ||||
\(859\) | 1.16904e6i | 1.58432i | 0.610311 | + | 0.792162i | \(0.291045\pi\) | ||||
−0.610311 | + | 0.792162i | \(0.708955\pi\) | |||||||
\(860\) | −1.20501e6 | + | 118895.i | −1.62927 | + | 0.160755i | ||||
\(861\) | −237165. | −0.319922 | ||||||||
\(862\) | −454611. | − | 103762.i | −0.611823 | − | 0.139644i | ||||
\(863\) | 15920.3 | − | 51612.3i | 0.0213761 | − | 0.0692997i | −0.944256 | − | 0.329211i | \(-0.893217\pi\) |
0.965632 | + | 0.259911i | \(0.0836934\pi\) | |||||||
\(864\) | −236119. | − | 113709.i | −0.316303 | − | 0.152323i | ||||
\(865\) | −728494. | + | 285913.i | −0.973630 | + | 0.382122i | ||||
\(866\) | −381424. | + | 660647.i | −0.508596 | + | 0.880914i | ||||
\(867\) | −567005. | + | 327360.i | −0.754308 | + | 0.435500i | ||||
\(868\) | −1.52639e6 | − | 1.21726e6i | −2.02594 | − | 1.61563i | ||||
\(869\) | −333234. | − | 227195.i | −0.441275 | − | 0.300856i | ||||
\(870\) | −1.03689e6 | + | 156286.i | −1.36991 | + | 0.206481i | ||||
\(871\) | −428665. | + | 206434.i | −0.565043 | + | 0.272110i | ||||
\(872\) | −360147. | + | 388146.i | −0.473638 | + | 0.510461i | ||||
\(873\) | −6073.91 | − | 915.494i | −0.00796966 | − | 0.00120123i | ||||
\(874\) | −1.77220e6 | + | 546651.i | −2.32001 | + | 0.715628i | ||||
\(875\) | −60090.4 | − | 801851.i | −0.0784855 | − | 1.04732i | ||||
\(876\) | −1.64538e6 | − | 2.06324e6i | −2.14416 | − | 2.68869i | ||||
\(877\) | 262713. | − | 669382.i | 0.341572 | − | 0.870311i | −0.652115 | − | 0.758120i | \(-0.726118\pi\) |
0.993687 | − | 0.112191i | \(-0.0357869\pi\) | |||||||
\(878\) | 1.01242e6 | + | 1.09113e6i | 1.31333 | + | 1.41543i | ||||
\(879\) | 11865.9 | + | 17404.1i | 0.0153576 | + | 0.0225254i | ||||
\(880\) | −285129. | − | 21367.4i | −0.368193 | − | 0.0275922i | ||||
\(881\) | −109851. | − | 481288.i | −0.141531 | − | 0.620088i | −0.995080 | − | 0.0990754i | \(-0.968412\pi\) |
0.853549 | − | 0.521013i | \(-0.174446\pi\) | |||||||
\(882\) | −8369.50 | + | 1910.28i | −0.0107588 | + | 0.00245562i | ||||
\(883\) | −42527.8 | + | 567494.i | −0.0545446 | + | 0.727847i | 0.901154 | + | 0.433499i | \(0.142721\pi\) |
−0.955699 | + | 0.294347i | \(0.904898\pi\) | |||||||
\(884\) | −764040. | + | 520914.i | −0.977713 | + | 0.666594i | ||||
\(885\) | −620737. | + | 575959.i | −0.792539 | + | 0.735369i | ||||
\(886\) | 761664. | + | 298931.i | 0.970278 | + | 0.380806i | ||||
\(887\) | −190641. | + | 152031.i | −0.242308 | + | 0.193234i | −0.737112 | − | 0.675770i | \(-0.763811\pi\) |
0.494804 | + | 0.869004i | \(0.335240\pi\) | |||||||
\(888\) | −1.63567e6 | + | 122577.i | −2.07429 | + | 0.155447i | ||||
\(889\) | 112281. | + | 364005.i | 0.142070 | + | 0.460578i | ||||
\(890\) | −305493. | + | 2.02681e6i | −0.385675 | + | 2.55878i | ||||
\(891\) | 411207. | + | 381545.i | 0.517971 | + | 0.480607i | ||||
\(892\) | −995266. | − | 2.06669e6i | −1.25086 | − | 2.59744i | ||||
\(893\) | 58722.0 | + | 389595.i | 0.0736374 | + | 0.488552i | ||||
\(894\) | −1.17024e6 | + | 1.71643e6i | −1.46420 | + | 2.14759i | ||||
\(895\) | −326709. | + | 409680.i | −0.407863 | + | 0.511444i | ||||
\(896\) | −713178. | − | 1.23526e6i | −0.888345 | − | 1.53866i | ||||
\(897\) | 1.04854e6 | + | 605375.i | 1.30317 | + | 0.752384i | ||||
\(898\) | −744284. | − | 1.89641e6i | −0.922967 | − | 2.35168i | ||||
\(899\) | 441931. | − | 917679.i | 0.546808 | − | 1.13546i | ||||
\(900\) | 40416.8 | + | 12466.9i | 0.0498973 | + | 0.0153913i | ||||
\(901\) | 107857. | − | 472553.i | 0.132862 | − | 0.582105i | ||||
\(902\) | − | 276787.i | − | 0.340198i | ||||||
\(903\) | 323522. | + | 770462.i | 0.396760 | + | 0.944878i | ||||
\(904\) | −187260. | −0.229144 | ||||||||
\(905\) | 62179.4 | + | 14192.0i | 0.0759188 | + | 0.0173280i | ||||
\(906\) | 484708. | − | 1.57138e6i | 0.590505 | − | 1.91437i | ||||
\(907\) | 1.27849e6 | + | 615686.i | 1.55411 | + | 0.748419i | 0.996650 | − | 0.0817861i | \(-0.0260624\pi\) |
0.557458 | + | 0.830205i | \(0.311777\pi\) | |||||||
\(908\) | 2.30292e6 | − | 903829.i | 2.79323 | − | 1.09626i | ||||
\(909\) | 37084.7 | − | 64232.6i | 0.0448815 | − | 0.0777370i | ||||
\(910\) | −1.54629e6 | + | 892750.i | −1.86727 | + | 1.07807i | ||||
\(911\) | −394293. | − | 314438.i | −0.475097 | − | 0.378877i | 0.356466 | − | 0.934308i | \(-0.383982\pi\) |
−0.831562 | + | 0.555431i | \(0.812553\pi\) | |||||||
\(912\) | 723590. | + | 493335.i | 0.869967 | + | 0.593134i | ||||
\(913\) | −120861. | + | 18216.8i | −0.144992 | + | 0.0218540i | ||||
\(914\) | 1.28503e6 | − | 618840.i | 1.53823 | − | 0.740774i | ||||
\(915\) | −488871. | + | 526877.i | −0.583918 | + | 0.629314i | ||||
\(916\) | −1.16108e6 | − | 175005.i | −1.38380 | − | 0.208574i | ||||
\(917\) | −564516. | + | 174130.i | −0.671333 | + | 0.207079i | ||||
\(918\) | −41797.3 | − | 557747.i | −0.0495979 | − | 0.661838i | ||||
\(919\) | 699874. | + | 877614.i | 0.828684 | + | 1.03914i | 0.998559 | + | 0.0536711i | \(0.0170922\pi\) |
−0.169875 | + | 0.985466i | \(0.554336\pi\) | |||||||
\(920\) | 382038. | − | 973418.i | 0.451369 | − | 1.15007i | ||||
\(921\) | 860396. | + | 927287.i | 1.01433 | + | 1.09319i | ||||
\(922\) | 299139. | + | 438756.i | 0.351893 | + | 0.516132i | ||||
\(923\) | 2.01505e6 | + | 151007.i | 2.36528 | + | 0.177254i | ||||
\(924\) | 235255. | + | 1.03072e6i | 0.275546 | + | 1.20725i | ||||
\(925\) | 267395. | − | 61031.2i | 0.312515 | − | 0.0713294i | ||||
\(926\) | −144810. | + | 1.93235e6i | −0.168879 | + | 2.25354i | ||||
\(927\) | 106575. | − | 72661.3i | 0.124021 | − | 0.0845559i | ||||
\(928\) | 210679. | − | 195482.i | 0.244639 | − | 0.226992i | ||||
\(929\) | 1.22184e6 | + | 479535.i | 1.41573 | + | 0.555634i | 0.945125 | − | 0.326708i | \(-0.105939\pi\) |
0.470608 | + | 0.882342i | \(0.344035\pi\) | |||||||
\(930\) | 1.49368e6 | − | 1.19117e6i | 1.72700 | − | 1.37723i | ||||
\(931\) | 74448.2 | − | 5579.12i | 0.0858924 | − | 0.00643675i | ||||
\(932\) | 271471. | + | 880087.i | 0.312530 | + | 1.01320i | ||||
\(933\) | 235291. | − | 1.56105e6i | 0.270298 | − | 1.79331i | ||||
\(934\) | 284607. | + | 264076.i | 0.326250 | + | 0.302716i | ||||
\(935\) | 88497.4 | + | 183767.i | 0.101230 | + | 0.210205i | ||||
\(936\) | −33490.0 | − | 222192.i | −0.0382264 | − | 0.253616i | ||||
\(937\) | 562878. | − | 825590.i | 0.641113 | − | 0.940340i | −0.358863 | − | 0.933390i | \(-0.616835\pi\) |
0.999976 | − | 0.00694996i | \(-0.00221226\pi\) | |||||||
\(938\) | 377153. | − | 472935.i | 0.428659 | − | 0.537522i | ||||
\(939\) | −69638.6 | − | 120618.i | −0.0789803 | − | 0.136798i | ||||
\(940\) | −410381. | − | 236934.i | −0.464443 | − | 0.268146i | ||||
\(941\) | 323120. | + | 823296.i | 0.364909 | + | 0.929773i | 0.988932 | + | 0.148367i | \(0.0474018\pi\) |
−0.624023 | + | 0.781406i | \(0.714503\pi\) | |||||||
\(942\) | −487068. | + | 1.01141e6i | −0.548894 | + | 1.13979i | ||||
\(943\) | 251505. | + | 77579.0i | 0.282828 | + | 0.0872410i | ||||
\(944\) | −154509. | + | 676946.i | −0.173384 | + | 0.759644i | ||||
\(945\) | − | 705298.i | − | 0.789785i | ||||||
\(946\) | −899177. | + | 377570.i | −1.00476 | + | 0.421906i | ||||
\(947\) | −189940. | −0.211796 | −0.105898 | − | 0.994377i | \(-0.533772\pi\) | ||||
−0.105898 | + | 0.994377i | \(0.533772\pi\) | |||||||
\(948\) | −1.44848e6 | − | 330605.i | −1.61174 | − | 0.367869i | ||||
\(949\) | 690996. | − | 2.24015e6i | 0.767261 | − | 2.48740i | ||||
\(950\) | −507435. | − | 244368.i | −0.562255 | − | 0.270768i | ||||
\(951\) | −1.41293e6 | + | 554536.i | −1.56229 | + | 0.613152i | ||||
\(952\) | 275585. | − | 477328.i | 0.304076 | − | 0.526675i | ||||
\(953\) | −1.34551e6 | + | 776832.i | −1.48150 | + | 0.855345i | −0.999780 | − | 0.0209794i | \(-0.993322\pi\) |
−0.481721 | + | 0.876324i | \(0.659988\pi\) | |||||||
\(954\) | 196423. | + | 156642.i | 0.215822 | + | 0.172112i | ||||
\(955\) | 266292. | + | 181555.i | 0.291979 | + | 0.199068i | ||||
\(956\) | −620792. | + | 93569.4i | −0.679251 | + | 0.102381i | ||||
\(957\) | −496942. | + | 239315.i | −0.542602 | + | 0.261304i | ||||
\(958\) | 1.26135e6 | − | 1.35941e6i | 1.37437 | − | 1.48122i | ||||
\(959\) | −181708. | − | 27388.1i | −0.197577 | − | 0.0297800i | ||||
\(960\) | 1.04977e6 | − | 323812.i | 1.13908 | − | 0.351359i | ||||
\(961\) | 69664.2 | + | 929604.i | 0.0754332 | + | 1.00659i | ||||
\(962\) | −1.93787e6 | − | 2.43001e6i | −2.09399 | − | 2.62578i | ||||
\(963\) | 30894.3 | − | 78717.5i | 0.0333140 | − | 0.0848826i | ||||
\(964\) | 960733. | + | 1.03542e6i | 1.03383 | + | 1.11420i | ||||
\(965\) | 23926.4 | + | 35093.5i | 0.0256934 | + | 0.0376853i | ||||
\(966\) | −1.53504e6 | − | 115035.i | −1.64500 | − | 0.123275i | ||||
\(967\) | 292659. | + | 1.28222e6i | 0.312975 | + | 1.37123i | 0.849608 | + | 0.527415i | \(0.176839\pi\) |
−0.536633 | + | 0.843816i | \(0.680304\pi\) | |||||||
\(968\) | 804912. | − | 183716.i | 0.859009 | − | 0.196063i | ||||
\(969\) | 46685.6 | − | 622976.i | 0.0497205 | − | 0.663473i | ||||
\(970\) | −81281.1 | + | 55416.5i | −0.0863866 | + | 0.0588974i | ||||
\(971\) | 1.25623e6 | − | 1.16561e6i | 1.33239 | − | 1.23627i | 0.382393 | − | 0.924000i | \(-0.375100\pi\) |
0.949992 | − | 0.312273i | \(-0.101090\pi\) | |||||||
\(972\) | 375125. | + | 147226.i | 0.397048 | + | 0.155830i | ||||
\(973\) | 342723. | − | 273312.i | 0.362007 | − | 0.288691i | ||||
\(974\) | 685904. | − | 51401.4i | 0.723012 | − | 0.0541823i | ||||
\(975\) | 108377. | + | 351350.i | 0.114006 | + | 0.369599i | ||||
\(976\) | −87840.2 | + | 582782.i | −0.0922133 | + | 0.611796i | ||||
\(977\) | 1.28033e6 | + | 1.18798e6i | 1.34132 | + | 1.24457i | 0.945249 | + | 0.326350i | \(0.105819\pi\) |
0.396076 | + | 0.918218i | \(0.370372\pi\) | |||||||
\(978\) | −1.28661e6 | − | 2.67167e6i | −1.34514 | − | 2.79322i | ||||
\(979\) | 160689. | + | 1.06610e6i | 0.167657 | + | 1.11233i | ||||
\(980\) | −50581.4 | + | 74189.3i | −0.0526670 | + | 0.0772483i | ||||
\(981\) | −31737.8 | + | 39797.9i | −0.0329791 | + | 0.0413545i | ||||
\(982\) | 578629. | + | 1.00222e6i | 0.600036 | + | 1.03929i | ||||
\(983\) | −615196. | − | 355184.i | −0.636659 | − | 0.367575i | 0.146668 | − | 0.989186i | \(-0.453145\pi\) |
−0.783326 | + | 0.621611i | \(0.786479\pi\) | |||||||
\(984\) | −174636. | − | 444965.i | −0.180361 | − | 0.459553i | ||||
\(985\) | 492910. | − | 1.02354e6i | 0.508037 | − | 1.05495i | ||||
\(986\) | 586115. | + | 180793.i | 0.602878 | + | 0.185963i | ||||
\(987\) | −72769.5 | + | 318824.i | −0.0746990 | + | 0.327278i | ||||
\(988\) | 4.16826e6i | 4.27012i | ||||||||
\(989\) | −91057.5 | − | 922873.i | −0.0930943 | − | 0.943517i | ||||
\(990\) | −105720. | −0.107867 | ||||||||
\(991\) | −1.07677e6 | − | 245766.i | −1.09642 | − | 0.250250i | −0.364199 | − | 0.931321i | \(-0.618657\pi\) |
−0.732217 | + | 0.681071i | \(0.761514\pi\) | |||||||
\(992\) | −154341. | + | 500362.i | −0.156841 | + | 0.508465i | ||||
\(993\) | 158649. | + | 76401.4i | 0.160894 | + | 0.0774824i | ||||
\(994\) | −2.39152e6 | + | 938603.i | −2.42048 | + | 0.949969i | ||||
\(995\) | −566317. | + | 980891.i | −0.572023 | + | 0.990774i | ||||
\(996\) | −389932. | + | 225127.i | −0.393070 | + | 0.226939i | ||||
\(997\) | −568311. | − | 453213.i | −0.571736 | − | 0.455944i | 0.294449 | − | 0.955667i | \(-0.404864\pi\) |
−0.866185 | + | 0.499723i | \(0.833435\pi\) | |||||||
\(998\) | −629287. | − | 429041.i | −0.631812 | − | 0.430762i | ||||
\(999\) | 1.21403e6 | − | 182986.i | 1.21646 | − | 0.183352i |
(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 | 43.5.h.a.5.2 | ✓ | 168 | |
43.26 | odd | 42 | inner | 43.5.h.a.26.2 | yes | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.5.h.a.5.2 | ✓ | 168 | 1.1 | even | 1 | trivial | |
43.5.h.a.26.2 | yes | 168 | 43.26 | odd | 42 | inner |