Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,6,Mod(5,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.5");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.e (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.09458515289\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 25.5 | ||
Character | \(\chi\) | \(=\) | 38.25 |
Dual form | 38.6.e.b.35.5 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.06418 | − | 2.57115i | 0.541675 | − | 0.454519i | ||||
\(3\) | 25.6880 | + | 9.34967i | 1.64789 | + | 0.599782i | 0.988392 | − | 0.151927i | \(-0.0485479\pi\) |
0.659495 | + | 0.751709i | \(0.270770\pi\) | |||||||
\(4\) | 2.77837 | − | 15.7569i | 0.0868241 | − | 0.492404i | ||||
\(5\) | −15.8279 | − | 89.7646i | −0.283138 | − | 1.60576i | −0.711860 | − | 0.702321i | \(-0.752147\pi\) |
0.428722 | − | 0.903437i | \(-0.358964\pi\) | |||||||
\(6\) | 102.752 | − | 37.3987i | 1.16523 | − | 0.424110i | ||||
\(7\) | −22.7823 | + | 39.4602i | −0.175733 | + | 0.304378i | −0.940415 | − | 0.340030i | \(-0.889563\pi\) |
0.764682 | + | 0.644408i | \(0.222896\pi\) | |||||||
\(8\) | −32.0000 | − | 55.4256i | −0.176777 | − | 0.306186i | ||||
\(9\) | 386.309 | + | 324.152i | 1.58975 | + | 1.33396i | ||||
\(10\) | −279.298 | − | 234.359i | −0.883217 | − | 0.741107i | ||||
\(11\) | 203.862 | + | 353.099i | 0.507989 | + | 0.879863i | 0.999957 | + | 0.00924962i | \(0.00294429\pi\) |
−0.491968 | + | 0.870613i | \(0.663722\pi\) | |||||||
\(12\) | 218.693 | − | 378.787i | 0.438411 | − | 0.759350i | ||||
\(13\) | −395.824 | + | 144.068i | −0.649597 | + | 0.236434i | −0.645739 | − | 0.763559i | \(-0.723450\pi\) |
−0.00385856 | + | 0.999993i | \(0.501228\pi\) | |||||||
\(14\) | 31.6489 | + | 179.490i | 0.0431557 | + | 0.244748i | ||||
\(15\) | 432.682 | − | 2453.86i | 0.496524 | − | 2.81593i | ||||
\(16\) | −240.561 | − | 87.5572i | −0.234923 | − | 0.0855050i | ||||
\(17\) | −646.820 | + | 542.747i | −0.542827 | + | 0.455486i | −0.872503 | − | 0.488608i | \(-0.837505\pi\) |
0.329677 | + | 0.944094i | \(0.393060\pi\) | |||||||
\(18\) | 2017.16 | 1.46744 | ||||||||
\(19\) | 1163.24 | − | 1059.70i | 0.739240 | − | 0.673442i | ||||
\(20\) | −1458.39 | −0.815265 | ||||||||
\(21\) | −954.172 | + | 800.646i | −0.472149 | + | 0.396180i | ||||
\(22\) | 1532.54 | + | 557.799i | 0.675080 | + | 0.245709i | ||||
\(23\) | −809.743 | + | 4592.28i | −0.319174 | + | 1.81013i | 0.228624 | + | 0.973515i | \(0.426577\pi\) |
−0.547798 | + | 0.836611i | \(0.684534\pi\) | |||||||
\(24\) | −303.805 | − | 1722.96i | −0.107663 | − | 0.610588i | ||||
\(25\) | −4870.62 | + | 1772.76i | −1.55860 | + | 0.567284i | ||||
\(26\) | −842.455 | + | 1459.17i | −0.244407 | + | 0.423325i | ||||
\(27\) | 3571.40 | + | 6185.84i | 0.942820 | + | 1.63301i | ||||
\(28\) | 558.473 | + | 468.614i | 0.134619 | + | 0.112959i | ||||
\(29\) | −3060.04 | − | 2567.68i | −0.675667 | − | 0.566952i | 0.239070 | − | 0.971002i | \(-0.423158\pi\) |
−0.914737 | + | 0.404051i | \(0.867602\pi\) | |||||||
\(30\) | −4983.43 | − | 8631.55i | −1.01094 | − | 1.75100i | ||||
\(31\) | 3731.62 | − | 6463.36i | 0.697419 | − | 1.20796i | −0.271940 | − | 0.962314i | \(-0.587665\pi\) |
0.969358 | − | 0.245650i | \(-0.0790015\pi\) | |||||||
\(32\) | −962.245 | + | 350.229i | −0.166116 | + | 0.0604612i | ||||
\(33\) | 1935.45 | + | 10976.5i | 0.309383 | + | 1.75460i | ||||
\(34\) | −586.489 | + | 3326.14i | −0.0870087 | + | 0.493451i | ||||
\(35\) | 3902.72 | + | 1420.47i | 0.538515 | + | 0.196003i | ||||
\(36\) | 6180.94 | − | 5186.43i | 0.794874 | − | 0.666979i | ||||
\(37\) | −12556.5 | −1.50787 | −0.753934 | − | 0.656950i | \(-0.771846\pi\) | ||||
−0.753934 | + | 0.656950i | \(0.771846\pi\) | |||||||
\(38\) | 839.717 | − | 6237.99i | 0.0943352 | − | 0.700786i | ||||
\(39\) | −11514.9 | −1.21227 | ||||||||
\(40\) | −4468.77 | + | 3749.74i | −0.441609 | + | 0.370554i | ||||
\(41\) | 5873.19 | + | 2137.66i | 0.545650 | + | 0.198600i | 0.600113 | − | 0.799915i | \(-0.295122\pi\) |
−0.0544628 | + | 0.998516i | \(0.517345\pi\) | |||||||
\(42\) | −865.173 | + | 4906.64i | −0.0756798 | + | 0.429201i | ||||
\(43\) | 182.346 | + | 1034.14i | 0.0150392 | + | 0.0852917i | 0.991404 | − | 0.130839i | \(-0.0417672\pi\) |
−0.976364 | + | 0.216131i | \(0.930656\pi\) | |||||||
\(44\) | 6130.16 | − | 2231.20i | 0.477354 | − | 0.173742i | ||||
\(45\) | 22982.9 | − | 39807.5i | 1.69189 | − | 2.93045i | ||||
\(46\) | 9326.24 | + | 16153.5i | 0.649849 | + | 1.12557i | ||||
\(47\) | −4079.56 | − | 3423.16i | −0.269382 | − | 0.226038i | 0.498083 | − | 0.867130i | \(-0.334038\pi\) |
−0.767465 | + | 0.641091i | \(0.778482\pi\) | |||||||
\(48\) | −5360.91 | − | 4498.34i | −0.335842 | − | 0.281805i | ||||
\(49\) | 7365.43 | + | 12757.3i | 0.438236 | + | 0.759047i | ||||
\(50\) | −10366.4 | + | 17955.2i | −0.586413 | + | 1.01570i | ||||
\(51\) | −21690.0 | + | 7894.52i | −1.16771 | + | 0.425011i | ||||
\(52\) | 1170.33 | + | 6637.25i | 0.0600204 | + | 0.340392i | ||||
\(53\) | 879.321 | − | 4986.88i | 0.0429989 | − | 0.243859i | −0.955731 | − | 0.294242i | \(-0.904933\pi\) |
0.998730 | + | 0.0503826i | \(0.0160441\pi\) | |||||||
\(54\) | 26848.1 | + | 9771.92i | 1.25294 | + | 0.456032i | ||||
\(55\) | 28469.1 | − | 23888.4i | 1.26902 | − | 1.06483i | ||||
\(56\) | 2916.14 | 0.124262 | ||||||||
\(57\) | 39789.2 | − | 16345.8i | 1.62210 | − | 0.666374i | ||||
\(58\) | −15978.4 | −0.623683 | ||||||||
\(59\) | 5503.27 | − | 4617.79i | 0.205822 | − | 0.172705i | −0.534050 | − | 0.845453i | \(-0.679331\pi\) |
0.739872 | + | 0.672748i | \(0.234886\pi\) | |||||||
\(60\) | −37463.1 | − | 13635.5i | −1.34346 | − | 0.488981i | ||||
\(61\) | 8084.99 | − | 45852.3i | 0.278199 | − | 1.57774i | −0.450416 | − | 0.892819i | \(-0.648724\pi\) |
0.728615 | − | 0.684924i | \(-0.240165\pi\) | |||||||
\(62\) | −5183.92 | − | 29399.5i | −0.171269 | − | 0.971315i | ||||
\(63\) | −21592.1 | + | 7858.88i | −0.685399 | + | 0.249465i | ||||
\(64\) | −2048.00 | + | 3547.24i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 19197.3 | + | 33250.7i | 0.563582 | + | 0.976152i | ||||
\(66\) | 34152.7 | + | 28657.5i | 0.965083 | + | 0.809801i | ||||
\(67\) | −30001.1 | − | 25173.9i | −0.816489 | − | 0.685116i | 0.135658 | − | 0.990756i | \(-0.456685\pi\) |
−0.952147 | + | 0.305640i | \(0.901130\pi\) | |||||||
\(68\) | 6754.91 | + | 11699.8i | 0.177152 | + | 0.306837i | ||||
\(69\) | −63737.0 | + | 110396.i | −1.61164 | + | 2.79145i | ||||
\(70\) | 15610.9 | − | 5681.90i | 0.380787 | − | 0.138595i | ||||
\(71\) | −3784.11 | − | 21460.8i | −0.0890877 | − | 0.505242i | −0.996399 | − | 0.0847830i | \(-0.972980\pi\) |
0.907312 | − | 0.420459i | \(-0.138131\pi\) | |||||||
\(72\) | 5604.42 | − | 31784.3i | 0.127409 | − | 0.722572i | ||||
\(73\) | 13216.5 | + | 4810.40i | 0.290274 | + | 0.105651i | 0.483053 | − | 0.875591i | \(-0.339528\pi\) |
−0.192779 | + | 0.981242i | \(0.561750\pi\) | |||||||
\(74\) | −38475.3 | + | 32284.6i | −0.816775 | + | 0.685356i | ||||
\(75\) | −141691. | −2.90864 | ||||||||
\(76\) | −13465.8 | − | 21273.3i | −0.267422 | − | 0.422476i | ||||
\(77\) | −18577.8 | −0.357082 | ||||||||
\(78\) | −35283.8 | + | 29606.6i | −0.656657 | + | 0.551001i | ||||
\(79\) | 89140.7 | + | 32444.6i | 1.60697 | + | 0.584890i | 0.980838 | − | 0.194826i | \(-0.0624141\pi\) |
0.626134 | + | 0.779716i | \(0.284636\pi\) | |||||||
\(80\) | −4051.95 | + | 22979.7i | −0.0707846 | + | 0.401440i | ||||
\(81\) | 12627.2 | + | 71612.5i | 0.213843 | + | 1.21276i | ||||
\(82\) | 23492.7 | − | 8550.66i | 0.385833 | − | 0.140432i | ||||
\(83\) | −12207.9 | + | 21144.6i | −0.194511 | + | 0.336903i | −0.946740 | − | 0.321999i | \(-0.895645\pi\) |
0.752229 | + | 0.658902i | \(0.228979\pi\) | |||||||
\(84\) | 9964.67 | + | 17259.3i | 0.154087 | + | 0.266886i | ||||
\(85\) | 58957.2 | + | 49471.0i | 0.885095 | + | 0.742683i | ||||
\(86\) | 3217.66 | + | 2699.94i | 0.0469131 | + | 0.0393648i | ||||
\(87\) | −54599.5 | − | 94569.1i | −0.773375 | − | 1.33953i | ||||
\(88\) | 13047.2 | − | 22598.3i | 0.179601 | − | 0.311078i | ||||
\(89\) | 47985.0 | − | 17465.1i | 0.642141 | − | 0.233720i | −0.000366096 | − | 1.00000i | \(-0.500117\pi\) |
0.642507 | + | 0.766280i | \(0.277894\pi\) | |||||||
\(90\) | −31927.5 | − | 181070.i | −0.415488 | − | 2.35635i | ||||
\(91\) | 3332.85 | − | 18901.5i | 0.0421902 | − | 0.239273i | ||||
\(92\) | 70110.4 | + | 25518.1i | 0.863601 | + | 0.314325i | ||||
\(93\) | 156288. | − | 131141.i | 1.87378 | − | 1.57229i | ||||
\(94\) | −21301.9 | −0.248656 | ||||||||
\(95\) | −113536. | − | 87644.9i | −1.29069 | − | 0.996363i | ||||
\(96\) | −27992.7 | −0.310003 | ||||||||
\(97\) | 99852.9 | − | 83786.5i | 1.07754 | − | 0.904159i | 0.0818212 | − | 0.996647i | \(-0.473926\pi\) |
0.995714 | + | 0.0924878i | \(0.0294819\pi\) | |||||||
\(98\) | 55369.9 | + | 20153.0i | 0.582383 | + | 0.211970i | ||||
\(99\) | −35704.0 | + | 202487.i | −0.366125 | + | 2.07640i | ||||
\(100\) | 14400.9 | + | 81671.4i | 0.144009 | + | 0.816714i | ||||
\(101\) | −23974.3 | + | 8725.91i | −0.233852 | + | 0.0851153i | −0.456288 | − | 0.889832i | \(-0.650821\pi\) |
0.222436 | + | 0.974947i | \(0.428599\pi\) | |||||||
\(102\) | −46164.1 | + | 79958.5i | −0.439343 | + | 0.760965i | ||||
\(103\) | 19591.6 | + | 33933.6i | 0.181960 | + | 0.315165i | 0.942548 | − | 0.334071i | \(-0.108422\pi\) |
−0.760588 | + | 0.649235i | \(0.775089\pi\) | |||||||
\(104\) | 20651.5 | + | 17328.6i | 0.187226 | + | 0.157102i | ||||
\(105\) | 86972.2 | + | 72978.4i | 0.769852 | + | 0.645983i | ||||
\(106\) | −10127.6 | − | 17541.5i | −0.0875472 | − | 0.151636i | ||||
\(107\) | −21463.4 | + | 37175.7i | −0.181234 | + | 0.313906i | −0.942301 | − | 0.334767i | \(-0.891342\pi\) |
0.761067 | + | 0.648673i | \(0.224676\pi\) | |||||||
\(108\) | 107392. | − | 39087.7i | 0.885961 | − | 0.322463i | ||||
\(109\) | 17214.9 | + | 97630.8i | 0.138784 | + | 0.787083i | 0.972150 | + | 0.234361i | \(0.0752998\pi\) |
−0.833366 | + | 0.552722i | \(0.813589\pi\) | |||||||
\(110\) | 25813.7 | − | 146397.i | 0.203408 | − | 1.15358i | ||||
\(111\) | −322551. | − | 117399.i | −2.48480 | − | 0.904392i | ||||
\(112\) | 8935.57 | − | 7497.83i | 0.0673096 | − | 0.0564795i | ||||
\(113\) | −168649. | −1.24248 | −0.621238 | − | 0.783622i | \(-0.713370\pi\) | ||||
−0.621238 | + | 0.783622i | \(0.713370\pi\) | |||||||
\(114\) | 79893.8 | − | 152390.i | 0.575772 | − | 1.09824i | ||||
\(115\) | 425041. | 2.99699 | ||||||||
\(116\) | −48960.7 | + | 41082.9i | −0.337833 | + | 0.283476i | ||||
\(117\) | −199610. | − | 72652.2i | −1.34809 | − | 0.490664i | ||||
\(118\) | 4989.96 | − | 28299.5i | 0.0329907 | − | 0.187100i | ||||
\(119\) | −6680.79 | − | 37888.7i | −0.0432475 | − | 0.245269i | ||||
\(120\) | −149853. | + | 54541.9i | −0.949973 | + | 0.345762i | ||||
\(121\) | −2593.84 | + | 4492.66i | −0.0161057 | + | 0.0278959i | ||||
\(122\) | −93119.2 | − | 161287.i | −0.566422 | − | 0.981071i | ||||
\(123\) | 130884. | + | 109825.i | 0.780052 | + | 0.654542i | ||||
\(124\) | −91474.9 | − | 76756.5i | −0.534254 | − | 0.448292i | ||||
\(125\) | 93802.2 | + | 162470.i | 0.536955 | + | 0.930033i | ||||
\(126\) | −45955.6 | + | 79597.5i | −0.257877 | + | 0.446656i | ||||
\(127\) | 9722.65 | − | 3538.75i | 0.0534903 | − | 0.0194689i | −0.315136 | − | 0.949046i | \(-0.602050\pi\) |
0.368627 | + | 0.929577i | \(0.379828\pi\) | |||||||
\(128\) | 2845.05 | + | 16135.1i | 0.0153485 | + | 0.0870455i | ||||
\(129\) | −4984.73 | + | 28269.8i | −0.0263735 | + | 0.149571i | ||||
\(130\) | 144317. | + | 52526.9i | 0.748959 | + | 0.272599i | ||||
\(131\) | −171444. | + | 143858.i | −0.872858 | + | 0.732415i | −0.964698 | − | 0.263359i | \(-0.915170\pi\) |
0.0918401 | + | 0.995774i | \(0.470725\pi\) | |||||||
\(132\) | 178333. | 0.890832 | ||||||||
\(133\) | 15314.7 | + | 70044.2i | 0.0750725 | + | 0.343355i | ||||
\(134\) | −156655. | −0.753671 | ||||||||
\(135\) | 498742. | − | 418494.i | 2.35527 | − | 1.97631i | ||||
\(136\) | 50780.3 | + | 18482.5i | 0.235423 | + | 0.0856868i | ||||
\(137\) | 52594.2 | − | 298276.i | 0.239407 | − | 1.35774i | −0.593725 | − | 0.804668i | \(-0.702343\pi\) |
0.833132 | − | 0.553074i | \(-0.186545\pi\) | |||||||
\(138\) | 88542.5 | + | 502149.i | 0.395780 | + | 2.24458i | ||||
\(139\) | −273068. | + | 99388.5i | −1.19876 | + | 0.436314i | −0.862792 | − | 0.505559i | \(-0.831286\pi\) |
−0.335970 | + | 0.941873i | \(0.609064\pi\) | |||||||
\(140\) | 33225.5 | − | 57548.3i | 0.143269 | − | 0.248149i | ||||
\(141\) | −72790.4 | − | 126077.i | −0.308337 | − | 0.534056i | ||||
\(142\) | −66774.0 | − | 56030.0i | −0.277899 | − | 0.233185i | ||||
\(143\) | −131564. | − | 110395.i | −0.538018 | − | 0.451451i | ||||
\(144\) | −64549.2 | − | 111802.i | −0.259409 | − | 0.449309i | ||||
\(145\) | −182053. | + | 315325.i | −0.719080 | + | 1.24548i | ||||
\(146\) | 52865.9 | − | 19241.6i | 0.205255 | − | 0.0747067i | ||||
\(147\) | 69926.7 | + | 396574.i | 0.266901 | + | 1.51367i | ||||
\(148\) | −34886.5 | + | 197851.i | −0.130919 | + | 0.742480i | ||||
\(149\) | 50157.0 | + | 18255.7i | 0.185083 | + | 0.0673646i | 0.432899 | − | 0.901442i | \(-0.357491\pi\) |
−0.247816 | + | 0.968807i | \(0.579713\pi\) | |||||||
\(150\) | −434167. | + | 364310.i | −1.57554 | + | 1.32203i | ||||
\(151\) | 270164. | 0.964241 | 0.482120 | − | 0.876105i | \(-0.339867\pi\) | ||||
0.482120 | + | 0.876105i | \(0.339867\pi\) | |||||||
\(152\) | −95958.4 | − | 30562.8i | −0.336879 | − | 0.107296i | ||||
\(153\) | −425804. | −1.47056 | ||||||||
\(154\) | −56925.7 | + | 47766.3i | −0.193422 | + | 0.162301i | ||||
\(155\) | −639245. | − | 232666.i | −2.13717 | − | 0.777865i | ||||
\(156\) | −31992.8 | + | 181440.i | −0.105254 | + | 0.596927i | ||||
\(157\) | −60964.1 | − | 345744.i | −0.197390 | − | 1.11945i | −0.908974 | − | 0.416853i | \(-0.863133\pi\) |
0.711584 | − | 0.702601i | \(-0.247978\pi\) | |||||||
\(158\) | 356563. | − | 129778.i | 1.13630 | − | 0.413580i | ||||
\(159\) | 69213.7 | − | 119882.i | 0.217120 | − | 0.376062i | ||||
\(160\) | 46668.5 | + | 80832.2i | 0.144120 | + | 0.249623i | ||||
\(161\) | −162764. | − | 136575.i | −0.494874 | − | 0.415248i | ||||
\(162\) | 222818. | + | 186967.i | 0.667058 | + | 0.559728i | ||||
\(163\) | −224025. | − | 388022.i | −0.660430 | − | 1.14390i | −0.980503 | − | 0.196506i | \(-0.937041\pi\) |
0.320073 | − | 0.947393i | \(-0.396293\pi\) | |||||||
\(164\) | 50000.9 | − | 86604.1i | 0.145167 | − | 0.251437i | ||||
\(165\) | 954663. | − | 347469.i | 2.72986 | − | 0.993588i | ||||
\(166\) | 16959.0 | + | 96179.1i | 0.0477672 | + | 0.270901i | ||||
\(167\) | −119756. | + | 679171.i | −0.332282 | + | 1.88446i | 0.120296 | + | 0.992738i | \(0.461616\pi\) |
−0.452577 | + | 0.891725i | \(0.649495\pi\) | |||||||
\(168\) | 74909.8 | + | 27264.9i | 0.204770 | + | 0.0745300i | ||||
\(169\) | −148506. | + | 124611.i | −0.399969 | + | 0.335614i | ||||
\(170\) | 307853. | 0.816998 | ||||||||
\(171\) | 792874. | − | 32306.7i | 2.07355 | − | 0.0844895i | ||||
\(172\) | 16801.4 | 0.0433037 | ||||||||
\(173\) | −92158.5 | + | 77330.1i | −0.234110 | + | 0.196442i | −0.752294 | − | 0.658828i | \(-0.771053\pi\) |
0.518184 | + | 0.855269i | \(0.326608\pi\) | |||||||
\(174\) | −410454. | − | 149393.i | −1.02776 | − | 0.374074i | ||||
\(175\) | 41010.7 | − | 232583.i | 0.101228 | − | 0.574094i | ||||
\(176\) | −18124.9 | − | 102792.i | −0.0441057 | − | 0.250136i | ||||
\(177\) | 184543. | − | 67168.1i | 0.442756 | − | 0.161150i | ||||
\(178\) | 102129. | − | 176893.i | 0.241601 | − | 0.418466i | ||||
\(179\) | −2927.25 | − | 5070.15i | −0.00682854 | − | 0.0118274i | 0.862591 | − | 0.505902i | \(-0.168840\pi\) |
−0.869419 | + | 0.494075i | \(0.835507\pi\) | |||||||
\(180\) | −563389. | − | 472739.i | −1.29607 | − | 1.08753i | ||||
\(181\) | 68249.8 | + | 57268.4i | 0.154848 | + | 0.129933i | 0.716920 | − | 0.697155i | \(-0.245551\pi\) |
−0.562072 | + | 0.827088i | \(0.689996\pi\) | |||||||
\(182\) | −38386.2 | − | 66486.8i | −0.0859006 | − | 0.148784i | ||||
\(183\) | 636391. | − | 1.10226e6i | 1.40474 | − | 2.43308i | ||||
\(184\) | 280442. | − | 102072.i | 0.610658 | − | 0.222261i | ||||
\(185\) | 198743. | + | 1.12713e6i | 0.426936 | + | 2.42127i | ||||
\(186\) | 141711. | − | 803682.i | 0.300345 | − | 1.70334i | ||||
\(187\) | −323505. | − | 117746.i | −0.676515 | − | 0.246231i | ||||
\(188\) | −65272.9 | + | 54770.5i | −0.134691 | + | 0.113019i | ||||
\(189\) | −325459. | −0.662738 | ||||||||
\(190\) | −573241. | + | 23357.5i | −1.15200 | + | 0.0469399i | ||||
\(191\) | 214632. | 0.425707 | 0.212854 | − | 0.977084i | \(-0.431724\pi\) | ||||
0.212854 | + | 0.977084i | \(0.431724\pi\) | |||||||
\(192\) | −85774.6 | + | 71973.4i | −0.167921 | + | 0.140903i | ||||
\(193\) | 258131. | + | 93951.9i | 0.498823 | + | 0.181557i | 0.579165 | − | 0.815211i | \(-0.303379\pi\) |
−0.0803416 | + | 0.996767i | \(0.525601\pi\) | |||||||
\(194\) | 90539.3 | − | 513474.i | 0.172716 | − | 0.979521i | ||||
\(195\) | 182257. | + | 1.03363e6i | 0.343241 | + | 1.94661i | ||||
\(196\) | 221480. | − | 80612.0i | 0.411807 | − | 0.149886i | ||||
\(197\) | −374230. | + | 648185.i | −0.687026 | + | 1.18996i | 0.285770 | + | 0.958298i | \(0.407751\pi\) |
−0.972796 | + | 0.231665i | \(0.925583\pi\) | |||||||
\(198\) | 411222. | + | 712258.i | 0.745442 | + | 1.29114i | ||||
\(199\) | 125533. | + | 105335.i | 0.224711 | + | 0.188555i | 0.748192 | − | 0.663482i | \(-0.230922\pi\) |
−0.523481 | + | 0.852038i | \(0.675367\pi\) | |||||||
\(200\) | 254116. | + | 213229.i | 0.449218 | + | 0.376939i | ||||
\(201\) | −535301. | − | 927169.i | −0.934562 | − | 1.61871i | ||||
\(202\) | −51025.7 | + | 88379.2i | −0.0879854 | + | 0.152395i | ||||
\(203\) | 171036. | − | 62252.0i | 0.291305 | − | 0.106026i | ||||
\(204\) | 64130.5 | + | 363702.i | 0.107892 | + | 0.611886i | ||||
\(205\) | 98926.3 | − | 561039.i | 0.164410 | − | 0.932413i | ||||
\(206\) | 147281. | + | 53605.8i | 0.241812 | + | 0.0880123i | ||||
\(207\) | −1.80141e6 | + | 1.51156e6i | −2.92204 | + | 2.45188i | ||||
\(208\) | 107834. | 0.172822 | ||||||||
\(209\) | 611321. | + | 194706.i | 0.968063 | + | 0.308328i | ||||
\(210\) | 454137. | 0.710621 | ||||||||
\(211\) | 245769. | − | 206224.i | 0.380032 | − | 0.318885i | −0.432683 | − | 0.901546i | \(-0.642433\pi\) |
0.812715 | + | 0.582661i | \(0.197989\pi\) | |||||||
\(212\) | −76134.7 | − | 27710.8i | −0.116344 | − | 0.0423457i | ||||
\(213\) | 103445. | − | 586664.i | 0.156228 | − | 0.886014i | ||||
\(214\) | 29816.6 | + | 169098.i | 0.0445066 | + | 0.252409i | ||||
\(215\) | 89942.7 | − | 32736.5i | 0.132700 | − | 0.0482987i | ||||
\(216\) | 228569. | − | 395894.i | 0.333337 | − | 0.577357i | ||||
\(217\) | 170030. | + | 294501.i | 0.245119 | + | 0.424558i | ||||
\(218\) | 303773. | + | 254896.i | 0.432921 | + | 0.363263i | ||||
\(219\) | 294529. | + | 247139.i | 0.414971 | + | 0.348202i | ||||
\(220\) | −297310. | − | 514956.i | −0.414146 | − | 0.717321i | ||||
\(221\) | 177835. | − | 308019.i | 0.244926 | − | 0.424225i | ||||
\(222\) | −1.29020e6 | + | 469596.i | −1.75702 | + | 0.639502i | ||||
\(223\) | −83074.5 | − | 471139.i | −0.111868 | − | 0.634434i | −0.988253 | − | 0.152824i | \(-0.951163\pi\) |
0.876386 | − | 0.481610i | \(-0.159948\pi\) | |||||||
\(224\) | 8102.11 | − | 45949.4i | 0.0107889 | − | 0.0611871i | ||||
\(225\) | −2.45621e6 | − | 893986.i | −3.23451 | − | 1.17727i | ||||
\(226\) | −516771. | + | 433623.i | −0.673019 | + | 0.564730i | ||||
\(227\) | −218041. | −0.280849 | −0.140425 | − | 0.990091i | \(-0.544847\pi\) | ||||
−0.140425 | + | 0.990091i | \(0.544847\pi\) | |||||||
\(228\) | −147010. | − | 672370.i | −0.187288 | − | 0.856587i | ||||
\(229\) | −464565. | −0.585407 | −0.292703 | − | 0.956203i | \(-0.594555\pi\) | ||||
−0.292703 | + | 0.956203i | \(0.594555\pi\) | |||||||
\(230\) | 1.30240e6 | − | 1.09284e6i | 1.62340 | − | 1.36219i | ||||
\(231\) | −477227. | − | 173696.i | −0.588430 | − | 0.214171i | ||||
\(232\) | −44394.0 | + | 251771.i | −0.0541507 | + | 0.307104i | ||||
\(233\) | 15563.2 | + | 88263.2i | 0.0187806 | + | 0.106510i | 0.992757 | − | 0.120139i | \(-0.0383341\pi\) |
−0.973976 | + | 0.226649i | \(0.927223\pi\) | |||||||
\(234\) | −798442. | + | 290609.i | −0.953243 | + | 0.346952i | ||||
\(235\) | −242707. | + | 420381.i | −0.286690 | + | 0.496562i | ||||
\(236\) | −57472.1 | − | 99544.5i | −0.0671702 | − | 0.116342i | ||||
\(237\) | 1.98650e6 | + | 1.66687e6i | 2.29730 | + | 1.92766i | ||||
\(238\) | −117889. | − | 98920.3i | −0.134905 | − | 0.113199i | ||||
\(239\) | 376740. | + | 652532.i | 0.426625 | + | 0.738937i | 0.996571 | − | 0.0827460i | \(-0.0263690\pi\) |
−0.569945 | + | 0.821683i | \(0.693036\pi\) | |||||||
\(240\) | −318940. | + | 552419.i | −0.357421 | + | 0.619072i | ||||
\(241\) | 261371. | − | 95131.4i | 0.289878 | − | 0.105507i | −0.192988 | − | 0.981201i | \(-0.561818\pi\) |
0.482866 | + | 0.875694i | \(0.339596\pi\) | |||||||
\(242\) | 3603.32 | + | 20435.4i | 0.00395516 | + | 0.0224308i | ||||
\(243\) | −43784.2 | + | 248312.i | −0.0475665 | + | 0.269763i | ||||
\(244\) | −700028. | − | 254789.i | −0.752732 | − | 0.273972i | ||||
\(245\) | 1.02857e6 | − | 863077.i | 1.09476 | − | 0.918616i | ||||
\(246\) | 683428. | 0.720037 | ||||||||
\(247\) | −307769. | + | 587043.i | −0.320983 | + | 0.612248i | ||||
\(248\) | −477648. | −0.493150 | ||||||||
\(249\) | −511291. | + | 429024.i | −0.522600 | + | 0.438514i | ||||
\(250\) | 705162. | + | 256658.i | 0.713573 | + | 0.259720i | ||||
\(251\) | 211349. | − | 1.19862e6i | 0.211746 | − | 1.20087i | −0.674717 | − | 0.738076i | \(-0.735734\pi\) |
0.886464 | − | 0.462798i | \(-0.153154\pi\) | |||||||
\(252\) | 63840.9 | + | 362060.i | 0.0633283 | + | 0.359153i | ||||
\(253\) | −1.78661e6 | + | 650271.i | −1.75480 | + | 0.638694i | ||||
\(254\) | 20693.2 | − | 35841.8i | 0.0201254 | − | 0.0348582i | ||||
\(255\) | 1.05196e6 | + | 1.82204e6i | 1.01309 | + | 1.75472i | ||||
\(256\) | 50203.5 | + | 42125.7i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | 299064. | + | 250945.i | 0.282444 | + | 0.236998i | 0.772992 | − | 0.634415i | \(-0.218759\pi\) |
−0.490549 | + | 0.871414i | \(0.663204\pi\) | |||||||
\(258\) | 57411.8 | + | 99440.2i | 0.0536972 | + | 0.0930063i | ||||
\(259\) | 286066. | − | 495481.i | 0.264982 | − | 0.458962i | ||||
\(260\) | 577266. | − | 210108.i | 0.529594 | − | 0.192756i | ||||
\(261\) | −349804. | − | 1.98384e6i | −0.317851 | − | 1.80262i | ||||
\(262\) | −155453. | + | 881615.i | −0.139909 | + | 0.793462i | ||||
\(263\) | 771692. | + | 280873.i | 0.687946 | + | 0.250392i | 0.662256 | − | 0.749278i | \(-0.269599\pi\) |
0.0256907 | + | 0.999670i | \(0.491821\pi\) | |||||||
\(264\) | 546443. | − | 458520.i | 0.482542 | − | 0.404901i | ||||
\(265\) | −461563. | −0.403753 | ||||||||
\(266\) | 227021. | + | 175251.i | 0.196726 | + | 0.151865i | ||||
\(267\) | 1.39593e6 | 1.19836 | ||||||||
\(268\) | −480018. | + | 402783.i | −0.408245 | + | 0.342558i | ||||
\(269\) | −554028. | − | 201650.i | −0.466821 | − | 0.169909i | 0.0978905 | − | 0.995197i | \(-0.468791\pi\) |
−0.564712 | + | 0.825288i | \(0.691013\pi\) | |||||||
\(270\) | 452222. | − | 2.56468e6i | 0.377522 | − | 2.14103i | ||||
\(271\) | 70451.3 | + | 399549.i | 0.0582728 | + | 0.330481i | 0.999982 | − | 0.00594560i | \(-0.00189256\pi\) |
−0.941710 | + | 0.336427i | \(0.890781\pi\) | |||||||
\(272\) | 203121. | − | 73930.1i | 0.166469 | − | 0.0605897i | ||||
\(273\) | 262337. | − | 454381.i | 0.213036 | − | 0.368989i | ||||
\(274\) | −605755. | − | 1.04920e6i | −0.487440 | − | 0.844270i | ||||
\(275\) | −1.61889e6 | − | 1.35841e6i | −1.29088 | − | 1.08318i | ||||
\(276\) | 1.56241e6 | + | 1.31102e6i | 1.23459 | + | 1.03594i | ||||
\(277\) | −149595. | − | 259106.i | −0.117143 | − | 0.202898i | 0.801491 | − | 0.598006i | \(-0.204040\pi\) |
−0.918634 | + | 0.395109i | \(0.870707\pi\) | |||||||
\(278\) | −581185. | + | 1.00664e6i | −0.451027 | + | 0.781201i | ||||
\(279\) | 3.53667e6 | − | 1.28724e6i | 2.72009 | − | 0.990033i | ||||
\(280\) | −46156.4 | − | 261766.i | −0.0351833 | − | 0.199535i | ||||
\(281\) | 77455.6 | − | 439272.i | 0.0585176 | − | 0.331870i | −0.941469 | − | 0.337100i | \(-0.890554\pi\) |
0.999986 | + | 0.00523044i | \(0.00166491\pi\) | |||||||
\(282\) | −547205. | − | 199166.i | −0.409757 | − | 0.149140i | ||||
\(283\) | 1.34352e6 | − | 1.12735e6i | 0.997189 | − | 0.836741i | 0.0105968 | − | 0.999944i | \(-0.496627\pi\) |
0.986593 | + | 0.163203i | \(0.0521824\pi\) | |||||||
\(284\) | −348669. | −0.256518 | ||||||||
\(285\) | −2.09705e6 | − | 3.31294e6i | −1.52932 | − | 2.41603i | ||||
\(286\) | −686978. | −0.496624 | ||||||||
\(287\) | −218157. | + | 183056.i | −0.156338 | + | 0.131183i | ||||
\(288\) | −485251. | − | 176617.i | −0.344735 | − | 0.125473i | ||||
\(289\) | −122753. | + | 696167.i | −0.0864545 | + | 0.490308i | ||||
\(290\) | 252905. | + | 1.43430e6i | 0.176589 | + | 1.00148i | ||||
\(291\) | 3.34840e6 | − | 1.21872e6i | 2.31795 | − | 0.843666i | ||||
\(292\) | 112517. | − | 194886.i | 0.0772258 | − | 0.133759i | ||||
\(293\) | 1.34994e6 | + | 2.33817e6i | 0.918641 | + | 1.59113i | 0.801481 | + | 0.598021i | \(0.204046\pi\) |
0.117161 | + | 0.993113i | \(0.462621\pi\) | |||||||
\(294\) | 1.23392e6 | + | 1.03538e6i | 0.832566 | + | 0.698605i | ||||
\(295\) | −501620. | − | 420909.i | −0.335598 | − | 0.281600i | ||||
\(296\) | 401807. | + | 695951.i | 0.266556 | + | 0.461689i | ||||
\(297\) | −1.45614e6 | + | 2.52211e6i | −0.957884 | + | 1.65910i | ||||
\(298\) | 200628. | − | 73022.6i | 0.130873 | − | 0.0476340i | ||||
\(299\) | −341086. | − | 1.93439e6i | −0.220641 | − | 1.25132i | ||||
\(300\) | −393671. | + | 2.23262e6i | −0.252540 | + | 1.43223i | ||||
\(301\) | −44961.5 | − | 16364.6i | −0.0286038 | − | 0.0104109i | ||||
\(302\) | 827831. | − | 694633.i | 0.522305 | − | 0.438266i | ||||
\(303\) | −697435. | −0.436413 | ||||||||
\(304\) | −372615. | + | 153074.i | −0.231247 | + | 0.0949985i | ||||
\(305\) | −4.24388e6 | −2.61224 | ||||||||
\(306\) | −1.30474e6 | + | 1.09481e6i | −0.796564 | + | 0.668396i | ||||
\(307\) | −2.50836e6 | − | 912968.i | −1.51895 | − | 0.552853i | −0.558065 | − | 0.829797i | \(-0.688456\pi\) |
−0.960886 | + | 0.276944i | \(0.910678\pi\) | |||||||
\(308\) | −51616.0 | + | 292729.i | −0.0310033 | + | 0.175828i | ||||
\(309\) | 186001. | + | 1.05486e6i | 0.110820 | + | 0.628492i | ||||
\(310\) | −2.55698e6 | + | 930665.i | −1.51120 | + | 0.550033i | ||||
\(311\) | −14473.3 | + | 25068.5i | −0.00848529 | + | 0.0146969i | −0.870237 | − | 0.492634i | \(-0.836034\pi\) |
0.861752 | + | 0.507330i | \(0.169368\pi\) | |||||||
\(312\) | 368478. | + | 638222.i | 0.214301 | + | 0.371181i | ||||
\(313\) | 1.42867e6 | + | 1.19880e6i | 0.824274 | + | 0.691648i | 0.953969 | − | 0.299906i | \(-0.0969552\pi\) |
−0.129695 | + | 0.991554i | \(0.541400\pi\) | |||||||
\(314\) | −1.07577e6 | − | 902675.i | −0.615735 | − | 0.516663i | ||||
\(315\) | 1.04721e6 | + | 1.81382e6i | 0.594643 | + | 1.02995i | ||||
\(316\) | 758892. | − | 1.31444e6i | 0.427526 | − | 0.740497i | ||||
\(317\) | 1.15806e6 | − | 421499.i | 0.647266 | − | 0.235585i | 0.00253679 | − | 0.999997i | \(-0.499193\pi\) |
0.644729 | + | 0.764411i | \(0.276970\pi\) | |||||||
\(318\) | −96150.6 | − | 545297.i | −0.0533193 | − | 0.302389i | ||||
\(319\) | 282820. | − | 1.60395e6i | 0.155608 | − | 0.882500i | ||||
\(320\) | 350832. | + | 127692.i | 0.191525 | + | 0.0697092i | ||||
\(321\) | −898932. | + | 754294.i | −0.486928 | + | 0.408581i | ||||
\(322\) | −849894. | −0.456799 | ||||||||
\(323\) | −177257. | + | 1.31678e6i | −0.0945358 | + | 0.702276i | ||||
\(324\) | 1.16348e6 | 0.615736 | ||||||||
\(325\) | 1.67251e6 | − | 1.40340e6i | 0.878336 | − | 0.737012i | ||||
\(326\) | −1.68411e6 | − | 612968.i | −0.877663 | − | 0.319443i | ||||
\(327\) | −470598. | + | 2.66890e6i | −0.243378 | + | 1.38026i | ||||
\(328\) | −69460.5 | − | 393930.i | −0.0356495 | − | 0.202178i | ||||
\(329\) | 228020. | − | 82992.5i | 0.116140 | − | 0.0422717i | ||||
\(330\) | 2.03186e6 | − | 3.51929e6i | 1.02709 | − | 1.77898i | ||||
\(331\) | 1.06876e6 | + | 1.85115e6i | 0.536179 | + | 0.928690i | 0.999105 | + | 0.0422927i | \(0.0134662\pi\) |
−0.462926 | + | 0.886397i | \(0.653200\pi\) | |||||||
\(332\) | 299256. | + | 251106.i | 0.149004 | + | 0.125029i | ||||
\(333\) | −4.85068e6 | − | 4.07020e6i | −2.39713 | − | 2.01143i | ||||
\(334\) | 1.37930e6 | + | 2.38901e6i | 0.676536 | + | 1.17180i | ||||
\(335\) | −1.78487e6 | + | 3.09149e6i | −0.868951 | + | 1.50507i | ||||
\(336\) | 299639. | − | 109060.i | 0.144794 | − | 0.0527007i | ||||
\(337\) | 97903.8 | + | 555240.i | 0.0469597 | + | 0.266321i | 0.999243 | − | 0.0388927i | \(-0.0123831\pi\) |
−0.952284 | + | 0.305214i | \(0.901272\pi\) | |||||||
\(338\) | −134654. | + | 763661.i | −0.0641103 | + | 0.363587i | ||||
\(339\) | −4.33226e6 | − | 1.57682e6i | −2.04746 | − | 0.745215i | ||||
\(340\) | 943316. | − | 791536.i | 0.442548 | − | 0.371341i | ||||
\(341\) | 3.04294e6 | 1.41712 | ||||||||
\(342\) | 2.34644e6 | − | 2.13759e6i | 1.08479 | − | 0.988234i | ||||
\(343\) | −1.43701e6 | −0.659516 | ||||||||
\(344\) | 51482.6 | − | 43199.0i | 0.0234566 | − | 0.0196824i | ||||
\(345\) | 1.09184e7 | + | 3.97399e6i | 4.93871 | + | 1.79754i | ||||
\(346\) | −83562.5 | + | 473907.i | −0.0375251 | + | 0.212815i | ||||
\(347\) | −52940.9 | − | 300243.i | −0.0236030 | − | 0.133859i | 0.970729 | − | 0.240176i | \(-0.0772053\pi\) |
−0.994332 | + | 0.106317i | \(0.966094\pi\) | |||||||
\(348\) | −1.64181e6 | + | 597572.i | −0.726735 | + | 0.264510i | ||||
\(349\) | −840224. | + | 1.45531e6i | −0.369259 | + | 0.639576i | −0.989450 | − | 0.144875i | \(-0.953722\pi\) |
0.620191 | + | 0.784451i | \(0.287055\pi\) | |||||||
\(350\) | −472342. | − | 818121.i | −0.206104 | − | 0.356983i | ||||
\(351\) | −2.30483e6 | − | 1.93398e6i | −0.998553 | − | 0.837885i | ||||
\(352\) | −319831. | − | 268370.i | −0.137583 | − | 0.115445i | ||||
\(353\) | 284313. | + | 492445.i | 0.121440 | + | 0.210340i | 0.920336 | − | 0.391130i | \(-0.127916\pi\) |
−0.798896 | + | 0.601469i | \(0.794582\pi\) | |||||||
\(354\) | 392773. | − | 680303.i | 0.166584 | − | 0.288532i | ||||
\(355\) | −1.86652e6 | + | 679358.i | −0.786072 | + | 0.286107i | ||||
\(356\) | −141876. | − | 804620.i | −0.0593314 | − | 0.336485i | ||||
\(357\) | 182630. | − | 1.03575e6i | 0.0758407 | − | 0.430114i | ||||
\(358\) | −22005.7 | − | 8009.44i | −0.00907462 | − | 0.00330289i | ||||
\(359\) | −1.91630e6 | + | 1.60797e6i | −0.784744 | + | 0.658478i | −0.944439 | − | 0.328688i | \(-0.893393\pi\) |
0.159695 | + | 0.987166i | \(0.448949\pi\) | |||||||
\(360\) | −2.94181e6 | −1.19635 | ||||||||
\(361\) | 230156. | − | 2.46538e6i | 0.0929509 | − | 0.995671i | ||||
\(362\) | 356375. | 0.142934 | ||||||||
\(363\) | −108635. | + | 91155.9i | −0.0432718 | + | 0.0363093i | ||||
\(364\) | −288570. | − | 105031.i | −0.114156 | − | 0.0415492i | ||||
\(365\) | 222615. | − | 1.26251e6i | 0.0874624 | − | 0.496024i | ||||
\(366\) | −884065. | − | 5.01378e6i | −0.344970 | − | 1.95642i | ||||
\(367\) | −1.49962e6 | + | 545818.i | −0.581188 | + | 0.211535i | −0.615849 | − | 0.787864i | \(-0.711187\pi\) |
0.0346614 | + | 0.999399i | \(0.488965\pi\) | |||||||
\(368\) | 596880. | − | 1.03383e6i | 0.229756 | − | 0.397949i | ||||
\(369\) | 1.57594e6 | + | 2.72960e6i | 0.602522 | + | 1.04360i | ||||
\(370\) | 3.50700e6 | + | 2.94272e6i | 1.33178 | + | 1.11749i | ||||
\(371\) | 176750. | + | 148311.i | 0.0666691 | + | 0.0559420i | ||||
\(372\) | −1.63216e6 | − | 2.82698e6i | −0.611512 | − | 1.05917i | ||||
\(373\) | 1.02464e6 | − | 1.77474e6i | 0.381330 | − | 0.660483i | −0.609922 | − | 0.792461i | \(-0.708799\pi\) |
0.991253 | + | 0.131978i | \(0.0421327\pi\) | |||||||
\(374\) | −1.29402e6 | + | 470985.i | −0.478368 | + | 0.174112i | ||||
\(375\) | 890549. | + | 5.05055e6i | 0.327024 | + | 1.85465i | ||||
\(376\) | −59184.7 | + | 335653.i | −0.0215894 | + | 0.122439i | ||||
\(377\) | 1.58116e6 | + | 575496.i | 0.572958 | + | 0.208540i | ||||
\(378\) | −997264. | + | 836804.i | −0.358989 | + | 0.301227i | ||||
\(379\) | 1.56118e6 | 0.558284 | 0.279142 | − | 0.960250i | \(-0.409950\pi\) | ||||
0.279142 | + | 0.960250i | \(0.409950\pi\) | |||||||
\(380\) | −1.69646e6 | + | 1.54546e6i | −0.602676 | + | 0.549034i | ||||
\(381\) | 282842. | 0.0998231 | ||||||||
\(382\) | 657670. | − | 551851.i | 0.230595 | − | 0.193492i | ||||
\(383\) | −1.56104e6 | − | 568171.i | −0.543772 | − | 0.197917i | 0.0555055 | − | 0.998458i | \(-0.482323\pi\) |
−0.599277 | + | 0.800542i | \(0.704545\pi\) | |||||||
\(384\) | −77774.1 | + | 441079.i | −0.0269158 | + | 0.152647i | ||||
\(385\) | 294048. | + | 1.66763e6i | 0.101104 | + | 0.573387i | ||||
\(386\) | 1.03252e6 | − | 375808.i | 0.352721 | − | 0.128380i | ||||
\(387\) | −264775. | + | 458604.i | −0.0898669 | + | 0.155654i | ||||
\(388\) | −1.04279e6 | − | 1.80616e6i | −0.351656 | − | 0.609085i | ||||
\(389\) | −365255. | − | 306485.i | −0.122383 | − | 0.102692i | 0.579542 | − | 0.814942i | \(-0.303231\pi\) |
−0.701925 | + | 0.712251i | \(0.747676\pi\) | |||||||
\(390\) | 3.21610e6 | + | 2.69863e6i | 1.07070 | + | 0.898423i | ||||
\(391\) | −1.96869e6 | − | 3.40986e6i | −0.651230 | − | 1.12796i | ||||
\(392\) | 471388. | − | 816467.i | 0.154940 | − | 0.268364i | ||||
\(393\) | −5.74908e6 | + | 2.09249e6i | −1.87766 | + | 0.683412i | ||||
\(394\) | 519875. | + | 2.94836e6i | 0.168717 | + | 0.956840i | ||||
\(395\) | 1.50146e6 | − | 8.51521e6i | 0.484196 | − | 2.74601i | ||||
\(396\) | 3.09138e6 | + | 1.12517e6i | 0.990637 | + | 0.360562i | ||||
\(397\) | 4.69391e6 | − | 3.93866e6i | 1.49472 | − | 1.25422i | 0.606248 | − | 0.795276i | \(-0.292674\pi\) |
0.888468 | − | 0.458939i | \(-0.151771\pi\) | |||||||
\(398\) | 655486. | 0.207423 | ||||||||
\(399\) | −261484. | + | 1.94248e6i | −0.0822268 | + | 0.610837i | ||||
\(400\) | 1.32690e6 | 0.414657 | ||||||||
\(401\) | −1.53721e6 | + | 1.28987e6i | −0.477389 | + | 0.400577i | −0.849481 | − | 0.527619i | \(-0.823085\pi\) |
0.372092 | + | 0.928196i | \(0.378640\pi\) | |||||||
\(402\) | −4.02415e6 | − | 1.46467e6i | −1.24196 | − | 0.452038i | ||||
\(403\) | −545902. | + | 3.09596e6i | −0.167437 | + | 0.949584i | ||||
\(404\) | 70884.2 | + | 402004.i | 0.0216071 | + | 0.122540i | ||||
\(405\) | 6.22840e6 | − | 2.26695e6i | 1.88686 | − | 0.686760i | ||||
\(406\) | 364026. | − | 630511.i | 0.109602 | − | 0.189836i | ||||
\(407\) | −2.55979e6 | − | 4.43368e6i | −0.765981 | − | 1.32672i | ||||
\(408\) | 1.13164e6 | + | 949558.i | 0.336556 | + | 0.282404i | ||||
\(409\) | 3.28179e6 | + | 2.75375e6i | 0.970068 | + | 0.813983i | 0.982561 | − | 0.185939i | \(-0.0595325\pi\) |
−0.0124938 | + | 0.999922i | \(0.503977\pi\) | |||||||
\(410\) | −1.13939e6 | − | 1.97348e6i | −0.334743 | − | 0.579792i | ||||
\(411\) | 4.13982e6 | − | 7.17039e6i | 1.20886 | − | 2.09381i | ||||
\(412\) | 589122. | − | 214423.i | 0.170987 | − | 0.0622341i | ||||
\(413\) | 56841.5 | + | 322364.i | 0.0163980 | + | 0.0929975i | ||||
\(414\) | −1.63338e6 | + | 9.26337e6i | −0.468368 | + | 2.65624i | ||||
\(415\) | 2.09126e6 | + | 761158.i | 0.596058 | + | 0.216947i | ||||
\(416\) | 330423. | − | 277258.i | 0.0936132 | − | 0.0785508i | ||||
\(417\) | −7.94381e6 | −2.23712 | ||||||||
\(418\) | 2.37381e6 | − | 975184.i | 0.664517 | − | 0.272989i | ||||
\(419\) | −2.21461e6 | −0.616257 | −0.308128 | − | 0.951345i | \(-0.599703\pi\) | ||||
−0.308128 | + | 0.951345i | \(0.599703\pi\) | |||||||
\(420\) | 1.39156e6 | − | 1.16765e6i | 0.384926 | − | 0.322991i | ||||
\(421\) | 1.73504e6 | + | 631503.i | 0.477094 | + | 0.173648i | 0.569363 | − | 0.822086i | \(-0.307190\pi\) |
−0.0922692 | + | 0.995734i | \(0.529412\pi\) | |||||||
\(422\) | 222845. | − | 1.26382e6i | 0.0609146 | − | 0.345464i | ||||
\(423\) | −466348. | − | 2.64479e6i | −0.126724 | − | 0.718688i | ||||
\(424\) | −304539. | + | 110843.i | −0.0822675 | + | 0.0299429i | ||||
\(425\) | 2.18826e6 | − | 3.79017e6i | 0.587660 | − | 1.01786i | ||||
\(426\) | −1.19143e6 | − | 2.06362e6i | −0.318086 | − | 0.550941i | ||||
\(427\) | 1.62514e6 | + | 1.36366e6i | 0.431342 | + | 0.361939i | ||||
\(428\) | 526141. | + | 441485.i | 0.138833 | + | 0.116495i | ||||
\(429\) | −2.34746e6 | − | 4.06591e6i | −0.615821 | − | 1.06663i | ||||
\(430\) | 191430. | − | 331567.i | 0.0499274 | − | 0.0864768i | ||||
\(431\) | 5.97922e6 | − | 2.17626e6i | 1.55043 | − | 0.564309i | 0.581909 | − | 0.813254i | \(-0.302306\pi\) |
0.968518 | + | 0.248945i | \(0.0800839\pi\) | |||||||
\(432\) | −317525. | − | 1.80078e6i | −0.0818595 | − | 0.464248i | ||||
\(433\) | −402579. | + | 2.28314e6i | −0.103188 | + | 0.585211i | 0.888740 | + | 0.458412i | \(0.151581\pi\) |
−0.991928 | + | 0.126799i | \(0.959530\pi\) | |||||||
\(434\) | 1.27821e6 | + | 465230.i | 0.325745 | + | 0.118561i | ||||
\(435\) | −7.62476e6 | + | 6.39793e6i | −1.93198 | + | 1.62112i | ||||
\(436\) | 1.58619e6 | 0.399613 | ||||||||
\(437\) | 3.92453e6 | + | 6.20001e6i | 0.983069 | + | 1.55306i | ||||
\(438\) | 1.53792e6 | 0.383044 | ||||||||
\(439\) | −1.06499e6 | + | 893631.i | −0.263744 | + | 0.221308i | −0.765064 | − | 0.643954i | \(-0.777293\pi\) |
0.501319 | + | 0.865262i | \(0.332848\pi\) | |||||||
\(440\) | −2.23504e6 | − | 813488.i | −0.550369 | − | 0.200318i | ||||
\(441\) | −1.28997e6 | + | 7.31577e6i | −0.315851 | + | 1.79128i | ||||
\(442\) | −247045. | − | 1.40106e6i | −0.0601480 | − | 0.341116i | ||||
\(443\) | −578433. | + | 210532.i | −0.140037 | + | 0.0509694i | −0.411088 | − | 0.911596i | \(-0.634851\pi\) |
0.271051 | + | 0.962565i | \(0.412629\pi\) | |||||||
\(444\) | −2.74601e6 | + | 4.75623e6i | −0.661066 | + | 1.14500i | ||||
\(445\) | −2.32725e6 | − | 4.03092e6i | −0.557113 | − | 0.964948i | ||||
\(446\) | −1.46592e6 | − | 1.23006e6i | −0.348959 | − | 0.292811i | ||||
\(447\) | 1.11775e6 | + | 937903.i | 0.264591 | + | 0.222019i | ||||
\(448\) | −93316.4 | − | 161629.i | −0.0219666 | − | 0.0380473i | ||||
\(449\) | −3.13258e6 | + | 5.42579e6i | −0.733309 | + | 1.27013i | 0.222153 | + | 0.975012i | \(0.428692\pi\) |
−0.955461 | + | 0.295116i | \(0.904642\pi\) | |||||||
\(450\) | −9.82483e6 | + | 3.57595e6i | −2.28715 | + | 0.832453i | ||||
\(451\) | 442511. | + | 2.50961e6i | 0.102443 | + | 0.580984i | ||||
\(452\) | −468570. | + | 2.65739e6i | −0.107877 | + | 0.611800i | ||||
\(453\) | 6.93998e6 | + | 2.52595e6i | 1.58896 | + | 0.578334i | ||||
\(454\) | −668116. | + | 560616.i | −0.152129 | + | 0.127651i | ||||
\(455\) | −1.74944e6 | −0.396160 | ||||||||
\(456\) | −2.17923e6 | − | 1.68228e6i | −0.490784 | − | 0.378866i | ||||
\(457\) | 1.16914e6 | 0.261863 | 0.130932 | − | 0.991391i | \(-0.458203\pi\) | ||||
0.130932 | + | 0.991391i | \(0.458203\pi\) | |||||||
\(458\) | −1.42351e6 | + | 1.19447e6i | −0.317100 | + | 0.266079i | ||||
\(459\) | −5.66739e6 | − | 2.06276e6i | −1.25560 | − | 0.457001i | ||||
\(460\) | 1.18092e6 | − | 6.69733e6i | 0.260211 | − | 1.47573i | ||||
\(461\) | 1.23937e6 | + | 7.02880e6i | 0.271611 | + | 1.54038i | 0.749525 | + | 0.661976i | \(0.230282\pi\) |
−0.477914 | + | 0.878407i | \(0.658607\pi\) | |||||||
\(462\) | −1.90891e6 | + | 694785.i | −0.416083 | + | 0.151442i | ||||
\(463\) | −2.60014e6 | + | 4.50357e6i | −0.563694 | + | 0.976347i | 0.433476 | + | 0.901165i | \(0.357287\pi\) |
−0.997170 | + | 0.0751818i | \(0.976046\pi\) | |||||||
\(464\) | 511309. | + | 885614.i | 0.110253 | + | 0.190963i | ||||
\(465\) | −1.42456e7 | − | 1.19535e7i | −3.05526 | − | 2.56367i | ||||
\(466\) | 274626. | + | 230439.i | 0.0585838 | + | 0.0491576i | ||||
\(467\) | 3.80544e6 | + | 6.59122e6i | 0.807445 | + | 1.39854i | 0.914628 | + | 0.404296i | \(0.132483\pi\) |
−0.107183 | + | 0.994239i | \(0.534183\pi\) | |||||||
\(468\) | −1.69937e6 | + | 2.94339e6i | −0.358652 | + | 0.621203i | ||||
\(469\) | 1.67686e6 | − | 610328.i | 0.352019 | − | 0.128124i | ||||
\(470\) | 337165. | + | 1.91216e6i | 0.0704042 | + | 0.399282i | ||||
\(471\) | 1.66655e6 | − | 9.45148e6i | 0.346152 | − | 1.96312i | ||||
\(472\) | −432049. | − | 157253.i | −0.0892643 | − | 0.0324895i | ||||
\(473\) | −327979. | + | 275207.i | −0.0674052 | + | 0.0565597i | ||||
\(474\) | 1.03728e7 | 2.12055 | ||||||||
\(475\) | −3.78710e6 | + | 7.22356e6i | −0.770146 | + | 1.46899i | ||||
\(476\) | −615570. | −0.124526 | ||||||||
\(477\) | 1.95619e6 | − | 1.64144e6i | 0.393655 | − | 0.330316i | ||||
\(478\) | 2.83216e6 | + | 1.03082e6i | 0.566953 | + | 0.206354i | ||||
\(479\) | 1.32980e6 | − | 7.54168e6i | 0.264818 | − | 1.50186i | −0.504734 | − | 0.863275i | \(-0.668409\pi\) |
0.769552 | − | 0.638584i | \(-0.220479\pi\) | |||||||
\(480\) | 443066. | + | 2.51275e6i | 0.0877739 | + | 0.497791i | ||||
\(481\) | 4.97016e6 | − | 1.80899e6i | 0.979507 | − | 0.356511i | ||||
\(482\) | 556291. | − | 963525.i | 0.109065 | − | 0.188906i | ||||
\(483\) | −2.90415e6 | − | 5.03014e6i | −0.566437 | − | 0.981098i | ||||
\(484\) | 63583.8 | + | 53353.2i | 0.0123377 | + | 0.0103525i | ||||
\(485\) | −9.10153e6 | − | 7.63709e6i | −1.75695 | − | 1.47426i | ||||
\(486\) | 504286. | + | 873449.i | 0.0968471 | + | 0.167744i | ||||
\(487\) | 2.07459e6 | − | 3.59329e6i | 0.396377 | − | 0.686546i | −0.596898 | − | 0.802317i | \(-0.703600\pi\) |
0.993276 | + | 0.115771i | \(0.0369338\pi\) | |||||||
\(488\) | −2.80011e6 | + | 1.01916e6i | −0.532262 | + | 0.193728i | ||||
\(489\) | −2.12687e6 | − | 1.20621e7i | −0.402225 | − | 2.28113i | ||||
\(490\) | 932636. | − | 5.28924e6i | 0.175478 | − | 0.995183i | ||||
\(491\) | 7.94139e6 | + | 2.89043e6i | 1.48660 | + | 0.541077i | 0.952551 | − | 0.304379i | \(-0.0984489\pi\) |
0.534045 | + | 0.845456i | \(0.320671\pi\) | |||||||
\(492\) | 2.09414e6 | − | 1.75720e6i | 0.390026 | − | 0.327271i | ||||
\(493\) | 3.37290e6 | 0.625009 | ||||||||
\(494\) | 566315. | + | 2.59012e6i | 0.104410 | + | 0.477533i | ||||
\(495\) | 1.87413e7 | 3.43785 | ||||||||
\(496\) | −1.46360e6 | + | 1.22810e6i | −0.267127 | + | 0.224146i | ||||
\(497\) | 933056. | + | 339604.i | 0.169440 | + | 0.0616712i | ||||
\(498\) | −463601. | + | 2.62921e6i | −0.0837666 | + | 0.475064i | ||||
\(499\) | −1.88309e6 | − | 1.06795e7i | −0.338547 | − | 1.92000i | −0.388928 | − | 0.921268i | \(-0.627155\pi\) |
0.0503809 | − | 0.998730i | \(-0.483956\pi\) | |||||||
\(500\) | 2.82065e6 | − | 1.02663e6i | 0.504573 | − | 0.183649i | ||||
\(501\) | −9.42632e6 | + | 1.63269e7i | −1.67783 | + | 2.90609i | ||||
\(502\) | −2.43422e6 | − | 4.21620e6i | −0.431123 | − | 0.746727i | ||||
\(503\) | −664251. | − | 557373.i | −0.117061 | − | 0.0982259i | 0.582378 | − | 0.812918i | \(-0.302122\pi\) |
−0.699439 | + | 0.714692i | \(0.746567\pi\) | |||||||
\(504\) | 1.12653e6 | + | 945271.i | 0.197545 | + | 0.165760i | ||||
\(505\) | 1.16274e6 | + | 2.01393e6i | 0.202887 | + | 0.351411i | ||||
\(506\) | −3.80253e6 | + | 6.58618e6i | −0.660232 | + | 1.14356i | ||||
\(507\) | −4.97989e6 | + | 1.81253e6i | −0.860399 | + | 0.313159i | ||||
\(508\) | −28746.8 | − | 163031.i | −0.00494231 | − | 0.0280292i | ||||
\(509\) | −1.23264e6 | + | 6.99064e6i | −0.210883 | + | 1.19598i | 0.677027 | + | 0.735958i | \(0.263268\pi\) |
−0.887910 | + | 0.460017i | \(0.847843\pi\) | |||||||
\(510\) | 7.90813e6 | + | 2.87832e6i | 1.34632 | + | 0.490020i | ||||
\(511\) | −490921. | + | 411932.i | −0.0831687 | + | 0.0697868i | ||||
\(512\) | 262144. | 0.0441942 | ||||||||
\(513\) | 1.07095e7 | + | 3.41099e6i | 1.79671 | + | 0.572252i | ||||
\(514\) | 1.56160e6 | 0.260713 | ||||||||
\(515\) | 2.73595e6 | − | 2.29573e6i | 0.454558 | − | 0.381419i | ||||
\(516\) | 431596. | + | 157088.i | 0.0713597 | + | 0.0259728i | ||||
\(517\) | 377047. | − | 2.13834e6i | 0.0620396 | − | 0.351844i | ||||
\(518\) | −397398. | − | 2.25376e6i | −0.0650731 | − | 0.369048i | ||||
\(519\) | −3.09038e6 | + | 1.12481e6i | −0.503609 | + | 0.183299i | ||||
\(520\) | 1.22863e6 | − | 2.12805e6i | 0.199256 | − | 0.345122i | ||||
\(521\) | −3.06342e6 | − | 5.30600e6i | −0.494438 | − | 0.856392i | 0.505541 | − | 0.862802i | \(-0.331293\pi\) |
−0.999979 | + | 0.00641026i | \(0.997960\pi\) | |||||||
\(522\) | −6.17260e6 | − | 5.17943e6i | −0.991499 | − | 0.831966i | ||||
\(523\) | 8.62375e6 | + | 7.23619e6i | 1.37861 | + | 1.15679i | 0.969723 | + | 0.244209i | \(0.0785284\pi\) |
0.408890 | + | 0.912584i | \(0.365916\pi\) | |||||||
\(524\) | 1.79043e6 | + | 3.10112e6i | 0.284859 | + | 0.493390i | ||||
\(525\) | 3.22806e6 | − | 5.59116e6i | 0.511144 | − | 0.885327i | ||||
\(526\) | 3.08677e6 | − | 1.12349e6i | 0.486452 | − | 0.177054i | ||||
\(527\) | 1.09428e6 | + | 6.20596e6i | 0.171633 | + | 0.973380i | ||||
\(528\) | 495474. | − | 2.80997e6i | 0.0773457 | − | 0.438649i | ||||
\(529\) | −1.43852e7 | − | 5.23577e6i | −2.23499 | − | 0.813469i | ||||
\(530\) | −1.41431e6 | + | 1.18675e6i | −0.218703 | + | 0.183514i | ||||
\(531\) | 3.62283e6 | 0.557585 | ||||||||
\(532\) | 1.14623e6 | − | 46704.7i | 0.175587 | − | 0.00715454i | ||||
\(533\) | −2.63272e6 | −0.401409 | ||||||||
\(534\) | 4.27738e6 | − | 3.58915e6i | 0.649120 | − | 0.544677i | ||||
\(535\) | 3.67678e6 | + | 1.33824e6i | 0.555371 | + | 0.202139i | ||||
\(536\) | −435245. | + | 2.46840e6i | −0.0654368 | + | 0.371110i | ||||
\(537\) | −27791.1 | − | 157611.i | −0.00415881 | − | 0.0235858i | ||||
\(538\) | −2.21611e6 | + | 806598.i | −0.330093 | + | 0.120144i | ||||
\(539\) | −3.00306e6 | + | 5.20145e6i | −0.445238 | + | 0.771175i | ||||
\(540\) | −5.20849e6 | − | 9.02137e6i | −0.768648 | − | 1.33134i | ||||
\(541\) | −2.91093e6 | − | 2.44256e6i | −0.427601 | − | 0.358800i | 0.403445 | − | 0.915004i | \(-0.367813\pi\) |
−0.831046 | + | 0.556204i | \(0.812257\pi\) | |||||||
\(542\) | 1.24318e6 | + | 1.04315e6i | 0.181775 | + | 0.152527i | ||||
\(543\) | 1.21776e6 | + | 2.10922e6i | 0.177240 | + | 0.306989i | ||||
\(544\) | 432314. | − | 748790.i | 0.0626329 | − | 0.108483i | ||||
\(545\) | 8.49131e6 | − | 3.09059e6i | 1.22457 | − | 0.445707i | ||||
\(546\) | −364435. | − | 2.06681e6i | −0.0523164 | − | 0.296701i | ||||
\(547\) | −40862.9 | + | 231745.i | −0.00583931 | + | 0.0331164i | −0.987588 | − | 0.157065i | \(-0.949797\pi\) |
0.981749 | + | 0.190182i | \(0.0609077\pi\) | |||||||
\(548\) | −4.55379e6 | − | 1.65744e6i | −0.647771 | − | 0.235769i | ||||
\(549\) | 1.79864e7 | − | 1.50924e7i | 2.54691 | − | 2.13711i | ||||
\(550\) | −8.45327e6 | −1.19157 | ||||||||
\(551\) | −6.28055e6 | + | 255909.i | −0.881289 | + | 0.0359093i | ||||
\(552\) | 8.15833e6 | 1.13960 | ||||||||
\(553\) | −3.31110e6 | + | 2.77834e6i | −0.460426 | + | 0.386343i | ||||
\(554\) | −1.12458e6 | − | 409315.i | −0.155675 | − | 0.0566609i | ||||
\(555\) | −5.43296e6 | + | 3.08118e7i | −0.748693 | + | 4.24605i | ||||
\(556\) | 807374. | + | 4.57884e6i | 0.110761 | + | 0.628158i | ||||
\(557\) | −5.38847e6 | + | 1.96124e6i | −0.735915 | + | 0.267851i | −0.682666 | − | 0.730730i | \(-0.739180\pi\) |
−0.0532483 | + | 0.998581i | \(0.516957\pi\) | |||||||
\(558\) | 7.52729e6 | − | 1.30376e7i | 1.02342 | − | 1.77261i | ||||
\(559\) | −221163. | − | 383066.i | −0.0299353 | − | 0.0518495i | ||||
\(560\) | −814471. | − | 683423.i | −0.109750 | − | 0.0920914i | ||||
\(561\) | −7.20932e6 | − | 6.04934e6i | −0.967135 | − | 0.811523i | ||||
\(562\) | −892098. | − | 1.54516e6i | −0.119144 | − | 0.206363i | ||||
\(563\) | 849812. | − | 1.47192e6i | 0.112993 | − | 0.195710i | −0.803983 | − | 0.594653i | \(-0.797290\pi\) |
0.916976 | + | 0.398943i | \(0.130623\pi\) | |||||||
\(564\) | −2.18882e6 | + | 796665.i | −0.289742 | + | 0.105458i | ||||
\(565\) | 2.66937e6 | + | 1.51387e7i | 0.351793 | + | 1.99512i | ||||
\(566\) | 1.21820e6 | − | 6.90878e6i | 0.159838 | − | 0.906484i | ||||
\(567\) | −3.11352e6 | − | 1.13323e6i | −0.406718 | − | 0.148033i | ||||
\(568\) | −1.06838e6 | + | 896481.i | −0.138949 | + | 0.116592i | ||||
\(569\) | 2.92415e6 | 0.378633 | 0.189317 | − | 0.981916i | \(-0.439373\pi\) | ||||
0.189317 | + | 0.981916i | \(0.439373\pi\) | |||||||
\(570\) | −1.49438e7 | − | 4.75961e6i | −1.92652 | − | 0.613598i | ||||
\(571\) | −3.29435e6 | −0.422844 | −0.211422 | − | 0.977395i | \(-0.567809\pi\) | ||||
−0.211422 | + | 0.977395i | \(0.567809\pi\) | |||||||
\(572\) | −2.10502e6 | + | 1.76632e6i | −0.269009 | + | 0.225725i | ||||
\(573\) | 5.51347e6 | + | 2.00674e6i | 0.701517 | + | 0.255331i | ||||
\(574\) | −197809. | + | 1.12183e6i | −0.0250592 | + | 0.142118i | ||||
\(575\) | −4.19706e6 | − | 2.38027e7i | −0.529390 | − | 3.00232i | ||||
\(576\) | −1.94100e6 | + | 706468.i | −0.243764 | + | 0.0887230i | ||||
\(577\) | −5.78523e6 | + | 1.00203e7i | −0.723405 | + | 1.25297i | 0.236223 | + | 0.971699i | \(0.424091\pi\) |
−0.959627 | + | 0.281275i | \(0.909243\pi\) | |||||||
\(578\) | 1.41381e6 | + | 2.44880e6i | 0.176024 | + | 0.304883i | ||||
\(579\) | 5.75245e6 | + | 4.82687e6i | 0.713109 | + | 0.598370i | ||||
\(580\) | 4.46274e6 | + | 3.74468e6i | 0.550847 | + | 0.462216i | ||||
\(581\) | −556247. | − | 963448.i | −0.0683640 | − | 0.118410i | ||||
\(582\) | 7.12658e6 | − | 1.23436e7i | 0.872115 | − | 1.51055i | ||||
\(583\) | 1.94012e6 | − | 706147.i | 0.236406 | − | 0.0860446i | ||||
\(584\) | −156308. | − | 886464.i | −0.0189648 | − | 0.107555i | ||||
\(585\) | −3.36218e6 | + | 1.90679e7i | −0.406192 | + | 2.30363i | ||||
\(586\) | 1.01482e7 | + | 3.69366e6i | 1.22081 | + | 0.444337i | ||||
\(587\) | 4.95748e6 | − | 4.15982e6i | 0.593835 | − | 0.498287i | −0.295622 | − | 0.955305i | \(-0.595527\pi\) |
0.889457 | + | 0.457018i | \(0.151083\pi\) | |||||||
\(588\) | 6.44307e6 | 0.768510 | ||||||||
\(589\) | −2.50847e6 | − | 1.14729e7i | −0.297935 | − | 1.36265i | ||||
\(590\) | −2.61927e6 | −0.309778 | ||||||||
\(591\) | −1.56735e7 | + | 1.31517e7i | −1.84586 | + | 1.54886i | ||||
\(592\) | 3.02060e6 | + | 1.09941e6i | 0.354233 | + | 0.128930i | ||||
\(593\) | 661171. | − | 3.74969e6i | 0.0772106 | − | 0.437883i | −0.921557 | − | 0.388244i | \(-0.873082\pi\) |
0.998767 | − | 0.0496391i | \(-0.0158071\pi\) | |||||||
\(594\) | 2.02285e6 | + | 1.14722e7i | 0.235233 | + | 1.33407i | ||||
\(595\) | −3.29532e6 | + | 1.19940e6i | −0.381597 | + | 0.138890i | ||||
\(596\) | 427008. | − | 739599.i | 0.0492402 | − | 0.0852866i | ||||
\(597\) | 2.23985e6 | + | 3.87953e6i | 0.257207 | + | 0.445495i | ||||
\(598\) | −6.01877e6 | − | 5.05034e6i | −0.688263 | − | 0.577521i | ||||
\(599\) | −1.88973e6 | − | 1.58567e6i | −0.215195 | − | 0.180570i | 0.528818 | − | 0.848735i | \(-0.322635\pi\) |
−0.744013 | + | 0.668165i | \(0.767080\pi\) | |||||||
\(600\) | 4.53412e6 | + | 7.85333e6i | 0.514180 | + | 0.890586i | ||||
\(601\) | −5.45631e6 | + | 9.45061e6i | −0.616188 | + | 1.06727i | 0.373987 | + | 0.927434i | \(0.377990\pi\) |
−0.990175 | + | 0.139835i | \(0.955343\pi\) | |||||||
\(602\) | −179846. | + | 65458.6i | −0.0202260 | + | 0.00736165i | ||||
\(603\) | −3.42953e6 | − | 1.94498e7i | −0.384097 | − | 2.17832i | ||||
\(604\) | 750616. | − | 4.25696e6i | 0.0837193 | − | 0.474796i | ||||
\(605\) | 444337. | + | 161725.i | 0.0493542 | + | 0.0179634i | ||||
\(606\) | −2.13707e6 | + | 1.79321e6i | −0.236394 | + | 0.198358i | ||||
\(607\) | −8.96624e6 | −0.987731 | −0.493865 | − | 0.869538i | \(-0.664416\pi\) | ||||
−0.493865 | + | 0.869538i | \(0.664416\pi\) | |||||||
\(608\) | −748184. | + | 1.42709e6i | −0.0820823 | + | 0.156565i | ||||
\(609\) | 4.97561e6 | 0.543630 | ||||||||
\(610\) | −1.30040e7 | + | 1.09117e7i | −1.41499 | + | 1.18731i | ||||
\(611\) | 2.10796e6 | + | 767234.i | 0.228433 | + | 0.0831428i | ||||
\(612\) | −1.18304e6 | + | 6.70937e6i | −0.127680 | + | 0.724108i | ||||
\(613\) | −3.00432e6 | − | 1.70383e7i | −0.322920 | − | 1.83137i | −0.523905 | − | 0.851777i | \(-0.675525\pi\) |
0.200985 | − | 0.979594i | \(-0.435586\pi\) | |||||||
\(614\) | −1.00334e7 | + | 3.65187e6i | −1.07406 | + | 0.390926i | ||||
\(615\) | 7.78675e6 | − | 1.34870e7i | 0.830173 | − | 1.43790i | ||||
\(616\) | 594490. | + | 1.02969e6i | 0.0631237 | + | 0.109333i | ||||
\(617\) | 1.18698e7 | + | 9.95993e6i | 1.25525 | + | 1.05328i | 0.996171 | + | 0.0874226i | \(0.0278630\pi\) |
0.259078 | + | 0.965856i | \(0.416581\pi\) | |||||||
\(618\) | 3.28215e6 | + | 2.75405e6i | 0.345690 | + | 0.290069i | ||||
\(619\) | 468168. | + | 810891.i | 0.0491106 | + | 0.0850620i | 0.889536 | − | 0.456866i | \(-0.151028\pi\) |
−0.840425 | + | 0.541928i | \(0.817695\pi\) | |||||||
\(620\) | −5.44216e6 | + | 9.42610e6i | −0.568581 | + | 0.984811i | ||||
\(621\) | −3.12990e7 | + | 1.13919e7i | −3.25688 | + | 1.18541i | ||||
\(622\) | 20106.1 | + | 114027.i | 0.00208378 | + | 0.0118177i | ||||
\(623\) | −404034. | + | 2.29139e6i | −0.0417059 | + | 0.236526i | ||||
\(624\) | 2.77005e6 | + | 1.00821e6i | 0.284791 | + | 0.103655i | ||||
\(625\) | 691351. | − | 580112.i | 0.0707943 | − | 0.0594035i | ||||
\(626\) | 7.46000e6 | 0.760857 | ||||||||
\(627\) | 1.38832e7 | + | 1.07173e7i | 1.41033 | + | 1.08872i | ||||
\(628\) | −5.61725e6 | −0.568361 | ||||||||
\(629\) | 8.12178e6 | − | 6.81498e6i | 0.818511 | − | 0.686813i | ||||
\(630\) | 7.87242e6 | + | 2.86533e6i | 0.790236 | + | 0.287622i | ||||
\(631\) | −74089.5 | + | 420183.i | −0.00740770 | + | 0.0420112i | −0.988288 | − | 0.152603i | \(-0.951234\pi\) |
0.980880 | + | 0.194614i | \(0.0623455\pi\) | |||||||
\(632\) | −1.05424e6 | − | 5.97890e6i | −0.104990 | − | 0.595428i | ||||
\(633\) | 8.24144e6 | − | 2.99964e6i | 0.817511 | − | 0.297550i | ||||
\(634\) | 2.46476e6 | − | 4.26909e6i | 0.243530 | − | 0.421806i | ||||
\(635\) | −471544. | − | 816738.i | −0.0464075 | − | 0.0803801i | ||||
\(636\) | −1.69666e6 | − | 1.42367e6i | −0.166323 | − | 0.139562i | ||||
\(637\) | −4.75334e6 | − | 3.98853e6i | −0.464141 | − | 0.389461i | ||||
\(638\) | −3.25739e6 | − | 5.64196e6i | −0.316824 | − | 0.548755i | ||||
\(639\) | 5.49470e6 | − | 9.51710e6i | 0.532344 | − | 0.922046i | ||||
\(640\) | 1.40333e6 | − | 510770.i | 0.135428 | − | 0.0492919i | ||||
\(641\) | −2.12084e6 | − | 1.20279e7i | −0.203875 | − | 1.15623i | −0.899201 | − | 0.437537i | \(-0.855851\pi\) |
0.695326 | − | 0.718695i | \(-0.255260\pi\) | |||||||
\(642\) | −815086. | + | 4.62258e6i | −0.0780487 | + | 0.442636i | ||||
\(643\) | 1.05234e7 | + | 3.83020e6i | 1.00376 | + | 0.365337i | 0.791032 | − | 0.611775i | \(-0.209544\pi\) |
0.212724 | + | 0.977112i | \(0.431767\pi\) | |||||||
\(644\) | −2.60423e6 | + | 2.18521e6i | −0.247437 | + | 0.207624i | ||||
\(645\) | 2.61652e6 | 0.247643 | ||||||||
\(646\) | 2.84250e6 | + | 4.49061e6i | 0.267990 | + | 0.423374i | ||||
\(647\) | −3.69266e6 | −0.346799 | −0.173400 | − | 0.984852i | \(-0.555475\pi\) | ||||
−0.173400 | + | 0.984852i | \(0.555475\pi\) | |||||||
\(648\) | 3.56509e6 | − | 2.99147e6i | 0.333529 | − | 0.279864i | ||||
\(649\) | 2.75245e6 | + | 1.00181e6i | 0.256512 | + | 0.0933626i | ||||
\(650\) | 1.51651e6 | − | 8.60056e6i | 0.140787 | − | 0.798442i | ||||
\(651\) | 1.61425e6 | + | 9.15487e6i | 0.149286 | + | 0.846642i | ||||
\(652\) | −6.73646e6 | + | 2.45187e6i | −0.620601 | + | 0.225880i | ||||
\(653\) | 3.61843e6 | − | 6.26730e6i | 0.332076 | − | 0.575172i | −0.650843 | − | 0.759212i | \(-0.725584\pi\) |
0.982919 | + | 0.184040i | \(0.0589177\pi\) | |||||||
\(654\) | 5.42014e6 | + | 9.38795e6i | 0.495525 | + | 0.858275i | ||||
\(655\) | 1.56270e7 | + | 1.31126e7i | 1.42322 | + | 1.19422i | ||||
\(656\) | −1.22569e6 | − | 1.02848e6i | −0.111204 | − | 0.0933116i | ||||
\(657\) | 3.54634e6 | + | 6.14244e6i | 0.320529 | + | 0.555172i | ||||
\(658\) | 485308. | − | 840578.i | 0.0436971 | − | 0.0756856i | ||||
\(659\) | −2.32948e6 | + | 847860.i | −0.208951 | + | 0.0760520i | −0.444375 | − | 0.895841i | \(-0.646574\pi\) |
0.235424 | + | 0.971893i | \(0.424352\pi\) | |||||||
\(660\) | −2.82263e6 | − | 1.60080e7i | −0.252229 | − | 1.43046i | ||||
\(661\) | 1.99551e6 | − | 1.13171e7i | 0.177644 | − | 1.00747i | −0.757404 | − | 0.652946i | \(-0.773533\pi\) |
0.935048 | − | 0.354521i | \(-0.115356\pi\) | |||||||
\(662\) | 8.03444e6 | + | 2.92430e6i | 0.712542 | + | 0.259344i | ||||
\(663\) | 7.44809e6 | − | 6.24969e6i | 0.658053 | − | 0.552172i | ||||
\(664\) | 1.56261e6 | 0.137540 | ||||||||
\(665\) | 6.04509e6 | − | 2.48338e6i | 0.530088 | − | 0.217765i | ||||
\(666\) | −2.53284e7 | −2.21270 | ||||||||
\(667\) | 1.42694e7 | − | 1.19734e7i | 1.24191 | − | 1.04209i | ||||
\(668\) | 1.03689e7 | + | 3.77398e6i | 0.899067 | + | 0.327234i | ||||
\(669\) | 2.27097e6 | − | 1.28793e7i | 0.196176 | − | 1.11257i | ||||
\(670\) | 2.47952e6 | + | 1.40621e7i | 0.213393 | + | 1.21021i | ||||
\(671\) | 1.78386e7 | − | 6.49273e6i | 1.52952 | − | 0.556699i | ||||
\(672\) | 637739. | − | 1.10460e6i | 0.0544778 | − | 0.0943583i | ||||
\(673\) | −3.96497e6 | − | 6.86754e6i | −0.337445 | − | 0.584471i | 0.646507 | − | 0.762908i | \(-0.276229\pi\) |
−0.983951 | + | 0.178437i | \(0.942896\pi\) | |||||||
\(674\) | 1.72760e6 | + | 1.44963e6i | 0.146485 | + | 0.122916i | ||||
\(675\) | −2.83609e7 | − | 2.37977e7i | −2.39586 | − | 2.01036i | ||||
\(676\) | 1.55088e6 | + | 2.68621e6i | 0.130531 | + | 0.226086i | ||||
\(677\) | −2.41310e6 | + | 4.17962e6i | −0.202351 | + | 0.350482i | −0.949285 | − | 0.314416i | \(-0.898191\pi\) |
0.746935 | + | 0.664897i | \(0.231525\pi\) | |||||||
\(678\) | −1.73291e7 | + | 6.30726e6i | −1.44777 | + | 0.526947i | ||||
\(679\) | 1.03135e6 | + | 5.84906e6i | 0.0858481 | + | 0.486869i | ||||
\(680\) | 855329. | − | 4.85081e6i | 0.0709351 | − | 0.402293i | ||||
\(681\) | −5.60103e6 | − | 2.03861e6i | −0.462807 | − | 0.168448i | ||||
\(682\) | 9.32412e6 | − | 7.82387e6i | 0.767621 | − | 0.644111i | ||||
\(683\) | −2.02601e7 | −1.66184 | −0.830920 | − | 0.556392i | \(-0.812185\pi\) | ||||
−0.830920 | + | 0.556392i | \(0.812185\pi\) | |||||||
\(684\) | 1.69384e6 | − | 1.25830e7i | 0.138431 | − | 1.02836i | ||||
\(685\) | −2.76071e7 | −2.24799 | ||||||||
\(686\) | −4.40326e6 | + | 3.69477e6i | −0.357243 | + | 0.299763i | ||||
\(687\) | −1.19338e7 | − | 4.34353e6i | −0.964684 | − | 0.351116i | ||||
\(688\) | 46680.6 | − | 264739.i | 0.00375981 | − | 0.0213229i | ||||
\(689\) | 370394. | + | 2.10061e6i | 0.0297246 | + | 0.168577i | ||||
\(690\) | 4.36738e7 | − | 1.58960e7i | 3.49219 | − | 1.27105i | ||||
\(691\) | 1.18937e7 | − | 2.06006e7i | 0.947597 | − | 1.64129i | 0.197131 | − | 0.980377i | \(-0.436838\pi\) |
0.750466 | − | 0.660909i | \(-0.229829\pi\) | |||||||
\(692\) | 962435. | + | 1.66699e6i | 0.0764022 | + | 0.132333i | ||||
\(693\) | −7.17677e6 | − | 6.02202e6i | −0.567670 | − | 0.476331i | ||||
\(694\) | −934189. | − | 783878.i | −0.0736269 | − | 0.0617803i | ||||
\(695\) | 1.32437e7 | + | 2.29387e7i | 1.04003 | + | 1.80139i | ||||
\(696\) | −3.49437e6 | + | 6.05242e6i | −0.273429 | + | 0.473594i | ||||
\(697\) | −4.95910e6 | + | 1.80497e6i | −0.386653 | + | 0.140730i | ||||
\(698\) | 1.16723e6 | + | 6.61967e6i | 0.0906810 | + | 0.514278i | ||||
\(699\) | −425445. | + | 2.41282e6i | −0.0329344 | + | 0.186780i | ||||
\(700\) | −3.55085e6 | − | 1.29240e6i | −0.273897 | − | 0.0996904i | ||||
\(701\) | −3.16272e6 | + | 2.65384e6i | −0.243089 | + | 0.203976i | −0.756190 | − | 0.654352i | \(-0.772941\pi\) |
0.513100 | + | 0.858329i | \(0.328497\pi\) | |||||||
\(702\) | −1.20350e7 | −0.921726 | ||||||||
\(703\) | −1.46062e7 | + | 1.33061e7i | −1.11468 | + | 1.01546i | ||||
\(704\) | −1.67004e6 | −0.126997 | ||||||||
\(705\) | −1.01651e7 | + | 8.52953e6i | −0.770262 | + | 0.646327i | ||||
\(706\) | 2.13734e6 | + | 777927.i | 0.161384 | + | 0.0587391i | ||||
\(707\) | 201863. | − | 1.14482e6i | 0.0151883 | − | 0.0861371i | ||||
\(708\) | −545634. | − | 3.09445e6i | −0.0409090 | − | 0.232006i | ||||
\(709\) | 6.35459e6 | − | 2.31288e6i | 0.474757 | − | 0.172798i | −0.0935488 | − | 0.995615i | \(-0.529821\pi\) |
0.568306 | + | 0.822817i | \(0.307599\pi\) | |||||||
\(710\) | −3.97262e6 | + | 6.88078e6i | −0.295754 | + | 0.512262i | ||||
\(711\) | 2.39189e7 | + | 4.14287e7i | 1.77446 | + | 3.07346i | ||||
\(712\) | −2.50353e6 | − | 2.10071e6i | −0.185077 | − | 0.155298i | ||||
\(713\) | 2.66599e7 | + | 2.23703e7i | 1.96397 | + | 1.64797i | ||||
\(714\) | −2.10345e6 | − | 3.64328e6i | −0.154414 | − | 0.267453i | ||||
\(715\) | −7.82720e6 | + | 1.35571e7i | −0.572587 | + | 0.991749i | ||||
\(716\) | −88023.0 | + | 32037.8i | −0.00641673 | + | 0.00233550i | ||||
\(717\) | 3.57673e6 | + | 2.02846e7i | 0.259829 | + | 1.47357i | ||||
\(718\) | −1.73756e6 | + | 9.85420e6i | −0.125785 | + | 0.713363i | ||||
\(719\) | −826283. | − | 300742.i | −0.0596083 | − | 0.0216956i | 0.312044 | − | 0.950068i | \(-0.398986\pi\) |
−0.371652 | + | 0.928372i | \(0.621209\pi\) | |||||||
\(720\) | −9.01422e6 | + | 7.56383e6i | −0.648033 | + | 0.543764i | ||||
\(721\) | −1.78537e6 | −0.127906 | ||||||||
\(722\) | −5.63362e6 | − | 8.14612e6i | −0.402203 | − | 0.581578i | ||||
\(723\) | 7.60356e6 | 0.540968 | ||||||||
\(724\) | 1.09200e6 | − | 916294.i | 0.0774239 | − | 0.0649664i | ||||
\(725\) | 1.94562e7 | + | 7.08148e6i | 1.37472 | + | 0.500356i | ||||
\(726\) | −98502.6 | + | 558636.i | −0.00693595 | + | 0.0393357i | ||||
\(727\) | −2.77831e6 | − | 1.57566e7i | −0.194959 | − | 1.10567i | −0.912477 | − | 0.409129i | \(-0.865833\pi\) |
0.717517 | − | 0.696540i | \(-0.245278\pi\) | |||||||
\(728\) | −1.15428e6 | + | 420123.i | −0.0807202 | + | 0.0293798i | ||||
\(729\) | 5.38877e6 | − | 9.33362e6i | 0.375553 | − | 0.650476i | ||||
\(730\) | −2.56397e6 | − | 4.44093e6i | −0.178076 | − | 0.308437i | ||||
\(731\) | −679219. | − | 569933.i | −0.0470129 | − | 0.0394485i | ||||
\(732\) | −1.56001e7 | − | 1.30901e7i | −1.07609 | − | 0.902950i | ||||
\(733\) | −1.41988e7 | − | 2.45931e7i | −0.976096 | − | 1.69065i | −0.676270 | − | 0.736654i | \(-0.736405\pi\) |
−0.299826 | − | 0.953994i | \(-0.596929\pi\) | |||||||
\(734\) | −3.19173e6 | + | 5.52823e6i | −0.218668 | + | 0.378744i | ||||
\(735\) | 3.44915e7 | − | 1.25539e7i | 2.35502 | − | 0.857156i | ||||
\(736\) | −829176. | − | 4.70249e6i | −0.0564225 | − | 0.319988i | ||||
\(737\) | 2.77281e6 | − | 1.57254e7i | 0.188040 | − | 1.06643i | ||||
\(738\) | 1.18472e7 | + | 4.31201e6i | 0.800707 | + | 0.291433i | ||||
\(739\) | 1.00382e7 | − | 8.42301e6i | 0.676150 | − | 0.567357i | −0.238729 | − | 0.971086i | \(-0.576731\pi\) |
0.914878 | + | 0.403729i | \(0.132286\pi\) | |||||||
\(740\) | 1.83122e7 | 1.22931 | ||||||||
\(741\) | −1.33946e7 | + | 1.22024e7i | −0.896159 | + | 0.816395i | ||||
\(742\) | 922923. | 0.0615397 | ||||||||
\(743\) | −1.45754e7 | + | 1.22302e7i | −0.968607 | + | 0.812758i | −0.982332 | − | 0.187148i | \(-0.940076\pi\) |
0.0137245 | + | 0.999906i | \(0.495631\pi\) | |||||||
\(744\) | −1.22698e7 | − | 4.46585e6i | −0.812655 | − | 0.295782i | ||||
\(745\) | 844831. | − | 4.79127e6i | 0.0557672 | − | 0.316272i | ||||
\(746\) | −1.42342e6 | − | 8.07263e6i | −0.0936454 | − | 0.531090i | ||||
\(747\) | −1.15701e7 | + | 4.21116e6i | −0.758638 | + | 0.276122i | ||||
\(748\) | −2.75414e6 | + | 4.77031e6i | −0.179983 | + | 0.311740i | ||||
\(749\) | −977972. | − | 1.69390e6i | −0.0636974 | − | 0.110327i | ||||
\(750\) | 1.57145e7 | + | 1.31861e7i | 1.02011 | + | 0.855977i | ||||
\(751\) | −1.05860e6 | − | 888270.i | −0.0684907 | − | 0.0574705i | 0.607900 | − | 0.794014i | \(-0.292012\pi\) |
−0.676390 | + | 0.736543i | \(0.736457\pi\) | |||||||
\(752\) | 681662. | + | 1.18067e6i | 0.0439566 | + | 0.0761351i | ||||
\(753\) | 1.66358e7 | − | 2.88141e7i | 1.06920 | − | 1.85190i | ||||
\(754\) | 6.32465e6 | − | 2.30198e6i | 0.405143 | − | 0.147460i | ||||
\(755\) | −4.27614e6 | − | 2.42512e7i | −0.273014 | − | 1.54834i | ||||
\(756\) | −904246. | + | 5.12823e6i | −0.0575416 | + | 0.326335i | ||||
\(757\) | −1.92877e7 | − | 7.02014e6i | −1.22332 | − | 0.445252i | −0.352015 | − | 0.935994i | \(-0.614503\pi\) |
−0.871305 | + | 0.490743i | \(0.836726\pi\) | |||||||
\(758\) | 4.78374e6 | − | 4.01403e6i | 0.302409 | − | 0.253751i | ||||
\(759\) | −5.19742e7 | −3.27479 | ||||||||
\(760\) | −1.22463e6 | + | 9.09741e6i | −0.0769082 | + | 0.571326i | ||||
\(761\) | −2.00812e7 | −1.25698 | −0.628490 | − | 0.777818i | \(-0.716327\pi\) | ||||
−0.628490 | + | 0.777818i | \(0.716327\pi\) | |||||||
\(762\) | 866677. | − | 727228.i | 0.0540717 | − | 0.0453715i | ||||
\(763\) | −4.24472e6 | − | 1.54495e6i | −0.263960 | − | 0.0960736i | ||||
\(764\) | 596327. | − | 3.38194e6i | 0.0369616 | − | 0.209620i | ||||
\(765\) | 6.73960e6 | + | 3.82222e7i | 0.416371 | + | 2.36136i | ||||
\(766\) | −6.24415e6 | + | 2.27269e6i | −0.384505 | + | 0.139948i | ||||
\(767\) | −1.51305e6 | + | 2.62068e6i | −0.0928678 | + | 0.160852i | ||||
\(768\) | 895766. | + | 1.55151e6i | 0.0548014 | + | 0.0949188i | ||||
\(769\) | 269480. | + | 226121.i | 0.0164328 | + | 0.0137887i | 0.650967 | − | 0.759106i | \(-0.274364\pi\) |
−0.634534 | + | 0.772895i | \(0.718808\pi\) | |||||||
\(770\) | 5.18874e6 | + | 4.35387e6i | 0.315381 | + | 0.264636i | ||||
\(771\) | 5.33612e6 | + | 9.24243e6i | 0.323288 | + | 0.559951i | ||||
\(772\) | 2.19758e6 | − | 3.80631e6i | 0.132709 | − | 0.229859i | ||||
\(773\) | −1.80843e7 | + | 6.58214e6i | −1.08856 | + | 0.396203i | −0.823087 | − | 0.567915i | \(-0.807750\pi\) |
−0.265472 | + | 0.964118i | \(0.585528\pi\) | |||||||
\(774\) | 367822. | + | 2.08602e6i | 0.0220691 | + | 0.125160i | ||||
\(775\) | −6.71733e6 | + | 3.80959e7i | −0.401738 | + | 2.27837i | ||||
\(776\) | −7.83921e6 | − | 2.85324e6i | −0.467324 | − | 0.170092i | ||||
\(777\) | 1.19810e7 | − | 1.00533e7i | 0.711938 | − | 0.597387i | ||||
\(778\) | −1.90723e6 | −0.112967 | ||||||||
\(779\) | 9.09721e6 | − | 3.73722e6i | 0.537112 | − | 0.220650i | ||||
\(780\) | 1.67933e7 | 0.988322 | ||||||||
\(781\) | 6.80634e6 | − | 5.71120e6i | 0.399288 | − | 0.335042i | ||||
\(782\) | −1.47997e7 | − | 5.38664e6i | −0.865437 | − | 0.314993i | ||||
\(783\) | 4.95464e6 | − | 2.80992e7i | 0.288807 | − | 1.63791i | ||||
\(784\) | −654845. | − | 3.71381e6i | −0.0380494 | − | 0.215789i | ||||
\(785\) | −3.00707e7 | + | 1.09448e7i | −1.74168 | + | 0.633921i | ||||
\(786\) | −1.22361e7 | + | 2.11935e7i | −0.706458 | + | 1.22362i | ||||
\(787\) | 9.08008e6 | + | 1.57272e7i | 0.522580 | + | 0.905135i | 0.999655 | + | 0.0262723i | \(0.00836369\pi\) |
−0.477075 | + | 0.878863i | \(0.658303\pi\) | |||||||
\(788\) | 9.17366e6 | + | 7.69761e6i | 0.526292 | + | 0.441612i | ||||
\(789\) | 1.71972e7 | + | 1.44301e7i | 0.983477 | + | 0.825235i | ||||
\(790\) | −1.72931e7 | − | 2.99526e7i | −0.985839 | − | 1.70752i | ||||
\(791\) | 3.84222e6 | − | 6.65493e6i | 0.218344 | − | 0.378183i | ||||
\(792\) | 1.23655e7 | − | 4.50068e6i | 0.700486 | − | 0.254956i | ||||
\(793\) | 3.40562e6 | + | 1.93142e7i | 0.192315 | + | 1.09067i | ||||
\(794\) | 4.25609e6 | − | 2.41375e7i | 0.239585 | − | 1.35875i | ||||
\(795\) | −1.18566e7 | − | 4.31546e6i | −0.665340 | − | 0.242164i | ||||
\(796\) | 2.00853e6 | − | 1.68535e6i | 0.112356 | − | 0.0942776i | ||||
\(797\) | 2.32589e7 | 1.29701 | 0.648506 | − | 0.761210i | \(-0.275394\pi\) | ||||
0.648506 | + | 0.761210i | \(0.275394\pi\) | |||||||
\(798\) | 4.19318e6 | + | 6.62443e6i | 0.233097 | + | 0.368249i | ||||
\(799\) | 4.49665e6 | 0.249185 | ||||||||
\(800\) | 4.06586e6 | − | 3.41166e6i | 0.224609 | − | 0.188470i | ||||
\(801\) | 2.41984e7 | + | 8.80749e6i | 1.33262 | + | 0.485032i | ||||
\(802\) | −1.39383e6 | + | 7.90479e6i | −0.0765197 | + | 0.433965i | ||||
\(803\) | 995786. | + | 5.64738e6i | 0.0544976 | + | 0.309071i | ||||
\(804\) | −1.60966e7 | + | 5.85868e6i | −0.878201 | + | 0.319639i | ||||
\(805\) | −9.68342e6 | + | 1.67722e7i | −0.526670 | + | 0.912220i | ||||
\(806\) | 6.28745e6 | + | 1.08902e7i | 0.340908 | + | 0.590470i | ||||
\(807\) | −1.23465e7 | − | 1.03600e7i | −0.667361 | − | 0.559982i | ||||
\(808\) | 1.25082e6 | + | 1.04956e6i | 0.0674008 | + | 0.0565560i | ||||
\(809\) | −4.55852e6 | − | 7.89560e6i | −0.244880 | − | 0.424144i | 0.717218 | − | 0.696849i | \(-0.245415\pi\) |
−0.962098 | + | 0.272705i | \(0.912082\pi\) | |||||||
\(810\) | 1.32563e7 | − | 2.29605e7i | 0.709918 | − | 1.22961i | ||||
\(811\) | −1.27314e7 | + | 4.63384e6i | −0.679708 | + | 0.247394i | −0.658722 | − | 0.752386i | \(-0.728903\pi\) |
−0.0209861 | + | 0.999780i | \(0.506681\pi\) | |||||||
\(812\) | −505699. | − | 2.86796e6i | −0.0269155 | − | 0.152645i | ||||
\(813\) | −1.92590e6 | + | 1.09223e7i | −0.102190 | + | 0.579547i | ||||
\(814\) | −1.92433e7 | − | 7.00399e6i | −1.01793 | − | 0.370497i | ||||
\(815\) | −3.12848e7 | + | 2.62511e7i | −1.64983 | + | 1.38437i | ||||
\(816\) | 5.90900e6 | 0.310662 | ||||||||
\(817\) | 1.30799e6 | + | 1.00972e6i | 0.0685566 | + | 0.0529230i | ||||
\(818\) | 1.71363e7 | 0.895433 | ||||||||
\(819\) | 7.41446e6 | − | 6.22147e6i | 0.386251 | − | 0.324103i | ||||
\(820\) | −8.56539e6 | − | 3.11755e6i | −0.444849 | − | 0.161912i | ||||
\(821\) | −4.86172e6 | + | 2.75722e7i | −0.251728 | + | 1.42762i | 0.552605 | + | 0.833443i | \(0.313634\pi\) |
−0.804333 | + | 0.594178i | \(0.797477\pi\) | |||||||
\(822\) | −5.75098e6 | − | 3.26155e7i | −0.296867 | − | 1.68362i | ||||
\(823\) | −4.49487e6 | + | 1.63600e6i | −0.231322 | + | 0.0841944i | −0.455081 | − | 0.890450i | \(-0.650390\pi\) |
0.223758 | + | 0.974645i | \(0.428167\pi\) | |||||||
\(824\) | 1.25386e6 | − | 2.17175e6i | 0.0643327 | − | 0.111427i | ||||
\(825\) | −2.88855e7 | − | 5.00311e7i | −1.47756 | − | 2.55921i | ||||
\(826\) | 1.00302e6 | + | 841633.i | 0.0511516 | + | 0.0429213i | ||||
\(827\) | 6.35869e6 | + | 5.33558e6i | 0.323299 | + | 0.271280i | 0.789963 | − | 0.613155i | \(-0.210100\pi\) |
−0.466664 | + | 0.884435i | \(0.654544\pi\) | |||||||
\(828\) | 1.88125e7 | + | 3.25843e7i | 0.953612 | + | 1.65170i | ||||
\(829\) | −7.16735e6 | + | 1.24142e7i | −0.362220 | + | 0.627383i | −0.988326 | − | 0.152355i | \(-0.951314\pi\) |
0.626106 | + | 0.779738i | \(0.284648\pi\) | |||||||
\(830\) | 8.36506e6 | − | 3.04463e6i | 0.421477 | − | 0.153405i | ||||
\(831\) | −1.42024e6 | − | 8.05457e6i | −0.0713442 | − | 0.404613i | ||||
\(832\) | 299604. | − | 1.69914e6i | 0.0150051 | − | 0.0850981i | ||||
\(833\) | −1.16881e7 | − | 4.25412e6i | −0.583621 | − | 0.212421i | ||||
\(834\) | −2.43413e7 | + | 2.04247e7i | −1.21179 | + | 1.01681i | ||||
\(835\) | 6.28610e7 | 3.12007 | ||||||||
\(836\) | 4.76644e6 | − | 9.09157e6i | 0.235873 | − | 0.449907i | ||||
\(837\) | 5.33084e7 | 2.63016 | ||||||||
\(838\) | −6.78595e6 | + | 5.69409e6i | −0.333811 | + | 0.280101i | ||||
\(839\) | −3.03453e6 | − | 1.10448e6i | −0.148829 | − | 0.0541692i | 0.266532 | − | 0.963826i | \(-0.414122\pi\) |
−0.415360 | + | 0.909657i | \(0.636345\pi\) | |||||||
\(840\) | 1.26176e6 | − | 7.15580e6i | 0.0616991 | − | 0.349913i | ||||
\(841\) | −790844. | − | 4.48510e6i | −0.0385568 | − | 0.218666i | ||||
\(842\) | 6.94016e6 | − | 2.52601e6i | 0.337356 | − | 0.122788i | ||||
\(843\) | 6.09673e6 | − | 1.05598e7i | 0.295480 | − | 0.511786i | ||||
\(844\) | −2.56663e6 | − | 4.44553e6i | −0.124024 | − | 0.214816i | ||||
\(845\) | 1.35362e7 | + | 1.13582e7i | 0.652161 | + | 0.547228i | ||||
\(846\) | −8.22913e6 | − | 6.90506e6i | −0.395301 | − | 0.331697i | ||||
\(847\) | −118187. | − | 204706.i | −0.00566060 | − | 0.00980444i | ||||
\(848\) | −648167. | + | 1.12266e6i | −0.0309526 | + | 0.0536115i | ||||
\(849\) | 4.50526e7 | − | 1.63978e7i | 2.14512 | − | 0.780759i | ||||
\(850\) | −3.03989e6 | − | 1.72401e7i | −0.144315 | − | 0.818450i | ||||
\(851\) | 1.01675e7 | − | 5.76628e7i | 0.481272 | − | 2.72943i | ||||
\(852\) | −8.95662e6 | − | 3.25994e6i | −0.422712 | − | 0.153855i | ||||
\(853\) | −1.35699e7 | + | 1.13865e7i | −0.638563 | + | 0.535818i | −0.903577 | − | 0.428427i | \(-0.859068\pi\) |
0.265013 | + | 0.964245i | \(0.414624\pi\) | |||||||
\(854\) | 8.48589e6 | 0.398156 | ||||||||
\(855\) | −1.54496e7 | − | 7.06607e7i | −0.722771 | − | 3.30569i | ||||
\(856\) | 2.74731e6 | 0.128152 | ||||||||
\(857\) | 2.29879e7 | − | 1.92892e7i | 1.06917 | − | 0.897143i | 0.0741961 | − | 0.997244i | \(-0.476361\pi\) |
0.994977 | + | 0.100101i | \(0.0319165\pi\) | |||||||
\(858\) | −1.76471e7 | − | 6.42302e6i | −0.818380 | − | 0.297866i | ||||
\(859\) | 1.53009e6 | − | 8.67760e6i | 0.0707514 | − | 0.401251i | −0.928780 | − | 0.370632i | \(-0.879141\pi\) |
0.999531 | − | 0.0306191i | \(-0.00974788\pi\) | |||||||
\(860\) | −265932. | − | 1.50817e6i | −0.0122610 | − | 0.0695353i | ||||
\(861\) | −7.31554e6 | + | 2.66264e6i | −0.336309 | + | 0.122407i | ||||
\(862\) | 1.27259e7 | − | 2.20419e7i | 0.583338 | − | 1.01037i | ||||
\(863\) | −1.36378e7 | − | 2.36213e7i | −0.623328 | − | 1.07963i | −0.988862 | − | 0.148837i | \(-0.952447\pi\) |
0.365534 | − | 0.930798i | \(-0.380886\pi\) | |||||||
\(864\) | −5.60302e6 | − | 4.70149e6i | −0.255351 | − | 0.214265i | ||||
\(865\) | 8.40019e6 | + | 7.04859e6i | 0.381723 | + | 0.320304i | ||||
\(866\) | 4.63672e6 | + | 8.03103e6i | 0.210095 | + | 0.363895i | ||||
\(867\) | −9.66222e6 | + | 1.67355e7i | −0.436545 | + | 0.756118i | ||||
\(868\) | 5.11284e6 | − | 1.86092e6i | 0.230336 | − | 0.0838356i | ||||
\(869\) | 6.71624e6 | + | 3.80897e7i | 0.301701 | + | 1.71103i | ||||
\(870\) | −6.91357e6 | + | 3.92088e7i | −0.309674 | + | 1.75625i | ||||
\(871\) | 1.55019e7 | + | 5.64225e6i | 0.692374 | + | 0.252004i | ||||
\(872\) | 4.86037e6 | − | 4.07834e6i | 0.216460 | − | 0.181632i | ||||
\(873\) | 6.57336e7 | 2.91912 | ||||||||
\(874\) | 2.79666e7 | + | 8.90738e6i | 1.23840 | + | 0.394431i | ||||
\(875\) | −8.54813e6 | −0.377443 | ||||||||
\(876\) | 4.71247e6 | − | 3.95423e6i | 0.207486 | − | 0.174101i | ||||
\(877\) | 845943. | + | 307898.i | 0.0371400 | + | 0.0135179i | 0.360523 | − | 0.932750i | \(-0.382598\pi\) |
−0.323383 | + | 0.946268i | \(0.604820\pi\) | |||||||
\(878\) | −965652. | + | 5.47649e6i | −0.0422751 | + | 0.239754i | ||||
\(879\) | 1.28162e7 | + | 7.26844e7i | 0.559484 | + | 3.17299i | ||||
\(880\) | −8.94016e6 | + | 3.25395e6i | −0.389170 | + | 0.141646i | ||||
\(881\) | −1.47779e7 | + | 2.55960e7i | −0.641464 | + | 1.11105i | 0.343642 | + | 0.939101i | \(0.388339\pi\) |
−0.985106 | + | 0.171947i | \(0.944994\pi\) | |||||||
\(882\) | 1.48573e7 | + | 2.57335e7i | 0.643083 | + | 1.11385i | ||||
\(883\) | −2.60686e7 | − | 2.18742e7i | −1.12516 | − | 0.944125i | −0.126311 | − | 0.991991i | \(-0.540314\pi\) |
−0.998854 | + | 0.0478657i | \(0.984758\pi\) | |||||||
\(884\) | −4.35933e6 | − | 3.65792e6i | −0.187625 | − | 0.157436i | ||||
\(885\) | −8.95025e6 | − | 1.55023e7i | −0.384129 | − | 0.665331i | ||||
\(886\) | −1.23111e6 | + | 2.13235e6i | −0.0526881 | + | 0.0912585i | ||||
\(887\) | −1.37448e7 | + | 5.00271e6i | −0.586584 | + | 0.213499i | −0.618226 | − | 0.786000i | \(-0.712148\pi\) |
0.0316424 | + | 0.999499i | \(0.489926\pi\) | |||||||
\(888\) | 3.81472e6 | + | 2.16344e7i | 0.162342 | + | 0.920686i | ||||
\(889\) | −81864.8 | + | 464278.i | −0.00347410 | + | 0.0197026i | ||||
\(890\) | −1.74952e7 | − | 6.36773e6i | −0.740362 | − | 0.269470i | ||||
\(891\) | −2.27121e7 | + | 1.90577e7i | −0.958435 | + | 0.804223i | ||||
\(892\) | −7.65451e6 | −0.322111 | ||||||||
\(893\) | −8.37304e6 | + | 341171.i | −0.351362 | + | 0.0143167i | ||||
\(894\) | 5.83647e6 | 0.244234 | ||||||||
\(895\) | −408788. | + | 343014.i | −0.0170585 | + | 0.0143138i | ||||
\(896\) | −701510. | − | 255329.i | −0.0291920 | − | 0.0106250i | ||||
\(897\) | 9.32413e6 | − | 5.28798e7i | 0.386925 | − | 2.19436i | ||||
\(898\) | 4.35174e6 | + | 2.46799e7i | 0.180083 | + | 1.02130i | ||||
\(899\) | −2.80148e7 | + | 1.01965e7i | −1.15608 | + | 0.420779i | ||||
\(900\) | −2.09107e7 | + | 3.62185e7i | −0.860524 | + | 1.49047i | ||||
\(901\) | 2.13785e6 | + | 3.70286e6i | 0.0877334 | + | 0.151959i | ||||
\(902\) | 7.80850e6 | + | 6.55211e6i | 0.319559 | + | 0.268142i | ||||
\(903\) | −1.00197e6 | − | 840750.i | −0.0408916 | − | 0.0343121i | ||||
\(904\) | 5.39678e6 | + | 9.34749e6i | 0.219641 | + | 0.380429i | ||||
\(905\) | 4.06042e6 | − | 7.03286e6i | 0.164797 | − | 0.285437i | ||||
\(906\) | 2.77599e7 | − | 1.01038e7i | 1.12356 | − | 0.408944i | ||||
\(907\) | −6.58613e6 | − | 3.73518e7i | −0.265835 | − | 1.50762i | −0.766647 | − | 0.642069i | \(-0.778076\pi\) |
0.500812 | − | 0.865556i | \(-0.333035\pi\) | |||||||
\(908\) | −605798. | + | 3.43565e6i | −0.0243845 | + | 0.138291i | ||||
\(909\) | −1.20900e7 | − | 4.40039e6i | −0.485306 | − | 0.176637i | ||||
\(910\) | −5.36059e6 | + | 4.49807e6i | −0.214590 | + | 0.180062i | ||||
\(911\) | −4.47251e6 | −0.178548 | −0.0892740 | − | 0.996007i | \(-0.528455\pi\) | ||||
−0.0892740 | + | 0.996007i | \(0.528455\pi\) | |||||||
\(912\) | −1.10029e7 | + | 448329.i | −0.438048 | + | 0.0178488i | ||||
\(913\) | −9.95487e6 | −0.395238 | ||||||||
\(914\) | 3.58244e6 | − | 3.00603e6i | 0.141845 | − | 0.119022i | ||||
\(915\) | −1.09017e8 | − | 3.96789e7i | −4.30468 | − | 1.56678i | ||||
\(916\) | −1.29073e6 | + | 7.32012e6i | −0.0508274 | + | 0.288257i | ||||
\(917\) | −1.77079e6 | − | 1.00426e7i | −0.0695413 | − | 0.394388i | ||||
\(918\) | −2.26696e7 | + | 8.25105e6i | −0.887844 | + | 0.323149i | ||||
\(919\) | −6.85042e6 | + | 1.18653e7i | −0.267564 | + | 0.463435i | −0.968232 | − | 0.250052i | \(-0.919552\pi\) |
0.700668 | + | 0.713488i | \(0.252885\pi\) | |||||||
\(920\) | −1.36013e7 | − | 2.35581e7i | −0.529799 | − | 0.917638i | ||||
\(921\) | −5.58988e7 | − | 4.69047e7i | −2.17147 | − | 1.82208i | ||||
\(922\) | 2.18697e7 | + | 1.83509e7i | 0.847259 | + | 0.710935i | ||||
\(923\) | 4.58966e6 | + | 7.94952e6i | 0.177327 | + | 0.307140i | ||||
\(924\) | −4.06283e6 | + | 7.03703e6i | −0.156549 | + | 0.271150i | ||||
\(925\) | 6.11579e7 | − | 2.22596e7i | 2.35016 | − | 0.855389i | ||||
\(926\) | 3.61207e6 | + | 2.04851e7i | 0.138430 | + | 0.785073i | ||||
\(927\) | −3.43124e6 | + | 1.94595e7i | −0.131145 | + | 0.743760i | ||||
\(928\) | 3.84379e6 | + | 1.39902e6i | 0.146518 | + | 0.0533280i | ||||
\(929\) | −2.90387e7 | + | 2.43664e7i | −1.10392 | + | 0.926301i | −0.997683 | − | 0.0680399i | \(-0.978325\pi\) |
−0.106240 | + | 0.994341i | \(0.533881\pi\) | |||||||
\(930\) | −7.43851e7 | −2.82019 | ||||||||
\(931\) | 2.20867e7 | + | 7.03463e6i | 0.835136 | + | 0.265991i | ||||
\(932\) | 1.43400e6 | 0.0540765 | ||||||||
\(933\) | −606172. | + | 508639.i | −0.0227977 | + | 0.0191296i | ||||
\(934\) | 2.86076e7 | + | 1.04123e7i | 1.07303 | + | 0.390553i | ||||
\(935\) | −5.44903e6 | + | 3.09030e7i | −0.203841 | + | 1.15604i | ||||
\(936\) | 2.36074e6 | + | 1.33884e7i | 0.0880761 | + | 0.499504i | ||||
\(937\) | 3.96747e7 | − | 1.44404e7i | 1.47626 | − | 0.537316i | 0.526471 | − | 0.850193i | \(-0.323515\pi\) |
0.949794 | + | 0.312877i | \(0.101293\pi\) | |||||||
\(938\) | 3.56896e6 | − | 6.18162e6i | 0.132445 | − | 0.229401i | ||||
\(939\) | 2.54914e7 | + | 4.41524e7i | 0.943473 | + | 1.63414i | ||||
\(940\) | 5.94959e6 | + | 4.99230e6i | 0.219618 | + | 0.184281i | ||||
\(941\) | 3.55324e7 | + | 2.98152e7i | 1.30813 | + | 1.09765i | 0.988679 | + | 0.150046i | \(0.0479421\pi\) |
0.319449 | + | 0.947604i | \(0.396502\pi\) | |||||||
\(942\) | −1.91946e7 | − | 3.32460e7i | −0.704776 | − | 1.22071i | ||||
\(943\) | −1.45725e7 | + | 2.52403e7i | −0.533649 | + | 0.924307i | ||||
\(944\) | −1.72819e6 | + | 629011.i | −0.0631194 | + | 0.0229736i | ||||
\(945\) | 5.15134e6 | + | 2.92147e7i | 0.187647 | + | 1.06420i | ||||
\(946\) | −297388. | + | 1.68657e6i | −0.0108043 | + | 0.0612740i | ||||
\(947\) | −1.76506e7 | − | 6.42430e6i | −0.639566 | − | 0.232783i | 0.00182363 | − | 0.999998i | \(-0.499420\pi\) |
−0.641390 | + | 0.767215i | \(0.721642\pi\) | |||||||
\(948\) | 3.17840e7 | − | 2.66700e7i | 1.14865 | − | 0.963832i | ||||
\(949\) | −5.92443e6 | −0.213541 | ||||||||
\(950\) | 6.96852e6 | + | 3.18715e7i | 0.250514 | + | 1.14576i | ||||
\(951\) | 3.36891e7 | 1.20792 | ||||||||
\(952\) | −1.88622e6 | + | 1.58272e6i | −0.0674527 | + | 0.0565995i | ||||
\(953\) | −3.48718e7 | − | 1.26923e7i | −1.24378 | − | 0.452697i | −0.365481 | − | 0.930819i | \(-0.619096\pi\) |
−0.878294 | + | 0.478122i | \(0.841318\pi\) | |||||||
\(954\) | 1.77373e6 | − | 1.00593e7i | 0.0630982 | − | 0.357848i | ||||
\(955\) | −3.39718e6 | − | 1.92663e7i | −0.120534 | − | 0.683582i | ||||
\(956\) | 1.13286e7 | − | 4.12328e6i | 0.400897 | − | 0.145914i | ||||
\(957\) | 2.22615e7 | − | 3.85580e7i | 0.785732 | − | 1.36093i | ||||
\(958\) | −1.53160e7 | − | 2.65282e7i | −0.539179 | − | 0.933885i | ||||
\(959\) | 1.05718e7 | + | 8.87080e6i | 0.371196 | + | 0.311470i | ||||
\(960\) | 7.81830e6 | + | 6.56033e6i | 0.273800 | + | 0.229746i | ||||
\(961\) | −1.35355e7 | − | 2.34441e7i | −0.472786 | − | 0.818889i | ||||
\(962\) | 1.05783e7 | − | 1.83221e7i | 0.368533 | − | 0.638318i | ||||
\(963\) | −2.03421e7 | + | 7.40390e6i | −0.706853 | + | 0.257273i | ||||
\(964\) | −772792. | − | 4.38272e6i | −0.0267837 | − | 0.151898i | ||||
\(965\) | 4.34788e6 | − | 2.46581e7i | 0.150300 | − | 0.852395i | ||||
\(966\) | −2.18321e7 | − | 7.94623e6i | −0.752753 | − | 0.273980i | ||||
\(967\) | 3.93857e6 | − | 3.30485e6i | 0.135448 | − | 0.113654i | −0.572547 | − | 0.819872i | \(-0.694044\pi\) |
0.707995 | + | 0.706218i | \(0.249600\pi\) | |||||||
\(968\) | 332011. | 0.0113884 | ||||||||
\(969\) | −1.68649e7 | + | 3.21682e7i | −0.576996 | + | 1.10057i | ||||
\(970\) | −4.75248e7 | −1.62178 | ||||||||
\(971\) | 3.13880e6 | − | 2.63376e6i | 0.106835 | − | 0.0896455i | −0.587805 | − | 0.809002i | \(-0.700008\pi\) |
0.694641 | + | 0.719357i | \(0.255563\pi\) | |||||||
\(972\) | 3.79099e6 | + | 1.37981e6i | 0.128703 | + | 0.0468439i | ||||
\(973\) | 2.29923e6 | − | 1.30396e7i | 0.0778575 | − | 0.441552i | ||||
\(974\) | −2.88198e6 | − | 1.63445e7i | −0.0973406 | − | 0.552046i | ||||
\(975\) | 5.60849e7 | − | 2.04132e7i | 1.88945 | − | 0.687702i | ||||
\(976\) | −5.95963e6 | + | 1.03224e7i | −0.200260 | + | 0.346861i | ||||
\(977\) | 2.17088e7 | + | 3.76008e7i | 0.727612 | + | 1.26026i | 0.957890 | + | 0.287136i | \(0.0927030\pi\) |
−0.230278 | + | 0.973125i | \(0.573964\pi\) | |||||||
\(978\) | −3.75305e7 | − | 3.14918e7i | −1.25469 | − | 1.05281i | ||||
\(979\) | 1.59492e7 | + | 1.33830e7i | 0.531842 | + | 0.446269i | ||||
\(980\) | −1.07417e7 | − | 1.86051e7i | −0.357278 | − | 0.618824i | ||||
\(981\) | −2.49969e7 | + | 4.32959e7i | −0.829304 | + | 1.43640i | ||||
\(982\) | 3.17656e7 | − | 1.15617e7i | 1.05118 | − | 0.382599i | ||||
\(983\) | 164879. | + | 935072.i | 0.00544227 | + | 0.0308647i | 0.987408 | − | 0.158195i | \(-0.0505673\pi\) |
−0.981966 | + | 0.189059i | \(0.939456\pi\) | |||||||
\(984\) | 1.89882e6 | − | 1.07687e7i | 0.0625166 | − | 0.354549i | ||||
\(985\) | 6.41074e7 | + | 2.33332e7i | 2.10532 | + | 0.766273i | ||||
\(986\) | 1.03352e7 | − | 8.67223e6i | 0.338552 | − | 0.284079i | ||||
\(987\) | 6.63334e6 | 0.216740 | ||||||||
\(988\) | 8.39489e6 | + | 6.48052e6i | 0.273604 | + | 0.211211i | ||||
\(989\) | −4.89670e6 | −0.159189 | ||||||||
\(990\) | 5.74268e7 | − | 4.81868e7i | 1.86220 | − | 1.56257i | ||||
\(991\) | 3.71071e7 | + | 1.35059e7i | 1.20025 | + | 0.436856i | 0.863312 | − | 0.504670i | \(-0.168386\pi\) |
0.336940 | + | 0.941526i | \(0.390608\pi\) | |||||||
\(992\) | −1.32708e6 | + | 7.52626e6i | −0.0428173 | + | 0.242829i | ||||
\(993\) | 1.01467e7 | + | 5.75448e7i | 0.326552 | + | 1.85197i | ||||
\(994\) | 3.73222e6 | − | 1.35842e6i | 0.119812 | − | 0.0436081i | ||||
\(995\) | 7.46840e6 | − | 1.29356e7i | 0.239150 | − | 0.414219i | ||||
\(996\) | 5.33954e6 | + | 9.24836e6i | 0.170552 | + | 0.295404i | ||||
\(997\) | −1.49656e7 | − | 1.25576e7i | −0.476822 | − | 0.400101i | 0.372454 | − | 0.928051i | \(-0.378517\pi\) |
−0.849276 | + | 0.527950i | \(0.822961\pi\) | |||||||
\(998\) | −3.32288e7 | − | 2.78823e7i | −1.05606 | − | 0.886139i | ||||
\(999\) | −4.48442e7 | − | 7.76723e7i | −1.42165 | − | 2.46237i |
(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 | 38.6.e.b.25.5 | ✓ | 30 | |
19.4 | even | 9 | 722.6.a.r.1.3 | 15 | |||
19.15 | odd | 18 | 722.6.a.q.1.13 | 15 | |||
19.16 | even | 9 | inner | 38.6.e.b.35.5 | yes | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.6.e.b.25.5 | ✓ | 30 | 1.1 | even | 1 | trivial | |
38.6.e.b.35.5 | yes | 30 | 19.16 | even | 9 | inner | |
722.6.a.q.1.13 | 15 | 19.15 | odd | 18 | |||
722.6.a.r.1.3 | 15 | 19.4 | even | 9 |