Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [49,6,Mod(2,49)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(49, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([26]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("49.2");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 49 = 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 49.g (of order \(21\), 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: | \(7.85880717084\) |
Analytic rank: | \(0\) |
Dimension: | \(264\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 11.1 | ||
Character | \(\chi\) | \(=\) | 49.11 |
Dual form | 49.6.g.a.9.1 |
$q$-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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{20}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −8.22587 | + | 7.63249i | −1.45414 | + | 1.34925i | −0.640362 | + | 0.768074i | \(0.721215\pi\) |
−0.813780 | + | 0.581173i | \(0.802594\pi\) | |||||||
\(3\) | 11.6068 | − | 1.74945i | 0.744579 | − | 0.112227i | 0.234214 | − | 0.972185i | \(-0.424748\pi\) |
0.510365 | + | 0.859958i | \(0.329510\pi\) | |||||||
\(4\) | 7.01864 | − | 93.6572i | 0.219332 | − | 2.92679i | ||||
\(5\) | 15.3540 | − | 39.1213i | 0.274660 | − | 0.699823i | −0.725275 | − | 0.688459i | \(-0.758287\pi\) |
0.999935 | − | 0.0113638i | \(-0.00361729\pi\) | |||||||
\(6\) | −82.1236 | + | 102.980i | −0.931301 | + | 1.16781i | ||||
\(7\) | −87.9777 | + | 95.2204i | −0.678621 | + | 0.734489i | ||||
\(8\) | 433.218 | + | 543.238i | 2.39321 | + | 3.00099i | ||||
\(9\) | −100.546 | + | 31.0144i | −0.413770 | + | 0.127631i | ||||
\(10\) | 172.293 | + | 438.996i | 0.544839 | + | 1.38823i | ||||
\(11\) | −193.918 | − | 59.8157i | −0.483210 | − | 0.149051i | 0.0435732 | − | 0.999050i | \(-0.486126\pi\) |
−0.526783 | + | 0.850000i | \(0.676602\pi\) | |||||||
\(12\) | −82.3843 | − | 1099.34i | −0.165155 | − | 2.20384i | ||||
\(13\) | 232.081 | + | 1016.82i | 0.380875 | + | 1.66872i | 0.694746 | + | 0.719255i | \(0.255517\pi\) |
−0.313871 | + | 0.949466i | \(0.601626\pi\) | |||||||
\(14\) | −3.07634 | − | 1454.76i | −0.00419482 | − | 1.98368i | ||||
\(15\) | 109.770 | − | 480.935i | 0.125967 | − | 0.551898i | ||||
\(16\) | −4737.98 | − | 714.136i | −4.62693 | − | 0.697398i | ||||
\(17\) | −594.219 | + | 405.131i | −0.498682 | + | 0.339996i | −0.786398 | − | 0.617720i | \(-0.788057\pi\) |
0.287716 | + | 0.957716i | \(0.407104\pi\) | |||||||
\(18\) | 590.363 | − | 1022.54i | 0.429475 | − | 0.743872i | ||||
\(19\) | 524.518 | + | 908.491i | 0.333331 | + | 0.577347i | 0.983163 | − | 0.182732i | \(-0.0584939\pi\) |
−0.649832 | + | 0.760078i | \(0.725161\pi\) | |||||||
\(20\) | −3556.23 | − | 1712.59i | −1.98799 | − | 0.957366i | ||||
\(21\) | −854.559 | + | 1259.12i | −0.422857 | + | 0.623044i | ||||
\(22\) | 2051.68 | − | 988.039i | 0.903762 | − | 0.435229i | ||||
\(23\) | 1219.19 | + | 831.232i | 0.480566 | + | 0.327644i | 0.779256 | − | 0.626706i | \(-0.215597\pi\) |
−0.298690 | + | 0.954350i | \(0.596550\pi\) | |||||||
\(24\) | 5978.65 | + | 5547.38i | 2.11873 | + | 1.96589i | ||||
\(25\) | 996.056 | + | 924.205i | 0.318738 | + | 0.295746i | ||||
\(26\) | −9669.90 | − | 6592.83i | −2.80536 | − | 1.91266i | ||||
\(27\) | −3682.61 | + | 1773.45i | −0.972180 | + | 0.468177i | ||||
\(28\) | 8300.59 | + | 8908.06i | 2.00085 | + | 2.14728i | ||||
\(29\) | −4384.19 | − | 2111.31i | −0.968043 | − | 0.466185i | −0.118066 | − | 0.993006i | \(-0.537670\pi\) |
−0.849976 | + | 0.526821i | \(0.823384\pi\) | |||||||
\(30\) | 2767.78 | + | 4793.93i | 0.561472 | + | 0.972498i | ||||
\(31\) | −1057.40 | + | 1831.47i | −0.197622 | + | 0.342291i | −0.947757 | − | 0.318994i | \(-0.896655\pi\) |
0.750135 | + | 0.661285i | \(0.229989\pi\) | |||||||
\(32\) | 26053.7 | − | 17763.1i | 4.49773 | − | 3.06650i | ||||
\(33\) | −2355.42 | − | 355.022i | −0.376515 | − | 0.0567506i | ||||
\(34\) | 1795.80 | − | 7867.93i | 0.266417 | − | 1.16725i | ||||
\(35\) | 2374.34 | + | 4903.81i | 0.327622 | + | 0.676649i | ||||
\(36\) | 2199.02 | + | 9634.55i | 0.282796 | + | 1.23901i | ||||
\(37\) | 121.590 | + | 1622.51i | 0.0146014 | + | 0.194842i | 0.999734 | + | 0.0230482i | \(0.00733713\pi\) |
−0.985133 | + | 0.171793i | \(0.945044\pi\) | |||||||
\(38\) | −11248.7 | − | 3469.75i | −1.26369 | − | 0.389798i | ||||
\(39\) | 4472.60 | + | 11396.0i | 0.470867 | + | 1.19975i | ||||
\(40\) | 27903.8 | − | 8607.17i | 2.75748 | − | 0.850571i | ||||
\(41\) | −1482.43 | − | 1858.91i | −0.137726 | − | 0.172703i | 0.708185 | − | 0.706027i | \(-0.249514\pi\) |
−0.845911 | + | 0.533324i | \(0.820943\pi\) | |||||||
\(42\) | −2580.73 | − | 16879.8i | −0.225746 | − | 1.47653i | ||||
\(43\) | −4480.15 | + | 5617.93i | −0.369506 | + | 0.463345i | −0.931471 | − | 0.363815i | \(-0.881474\pi\) |
0.561965 | + | 0.827161i | \(0.310045\pi\) | |||||||
\(44\) | −6963.21 | + | 17742.0i | −0.542223 | + | 1.38156i | ||||
\(45\) | −330.461 | + | 4409.69i | −0.0243270 | + | 0.324621i | ||||
\(46\) | −16373.3 | + | 2467.88i | −1.14088 | + | 0.171960i | ||||
\(47\) | −8752.99 | + | 8121.59i | −0.577979 | + | 0.536286i | −0.914077 | − | 0.405541i | \(-0.867083\pi\) |
0.336098 | + | 0.941827i | \(0.390893\pi\) | |||||||
\(48\) | −56242.3 | −3.52338 | ||||||||
\(49\) | −1326.86 | − | 16754.5i | −0.0789469 | − | 0.996879i | ||||
\(50\) | −15247.4 | −0.862524 | ||||||||
\(51\) | −6188.24 | + | 5741.85i | −0.333151 | + | 0.309119i | ||||
\(52\) | 96861.0 | − | 14599.4i | 4.96753 | − | 0.748734i | ||||
\(53\) | 56.4366 | − | 753.094i | 0.00275976 | − | 0.0368264i | −0.995654 | − | 0.0931306i | \(-0.970313\pi\) |
0.998414 | + | 0.0563041i | \(0.0179316\pi\) | |||||||
\(54\) | 16756.8 | − | 42695.7i | 0.782002 | − | 1.99251i | ||||
\(55\) | −5317.48 | + | 6667.90i | −0.237028 | + | 0.297223i | ||||
\(56\) | −89840.8 | − | 6541.62i | −3.82828 | − | 0.278750i | ||||
\(57\) | 7677.35 | + | 9627.09i | 0.312985 | + | 0.392471i | ||||
\(58\) | 52178.4 | − | 16094.9i | 2.03667 | − | 0.628229i | ||||
\(59\) | −4512.45 | − | 11497.5i | −0.168765 | − | 0.430006i | 0.821321 | − | 0.570466i | \(-0.193237\pi\) |
−0.990086 | + | 0.140459i | \(0.955142\pi\) | |||||||
\(60\) | −44272.6 | − | 13656.3i | −1.58766 | − | 0.489728i | ||||
\(61\) | −772.508 | − | 10308.4i | −0.0265814 | − | 0.354704i | −0.994597 | − | 0.103813i | \(-0.966896\pi\) |
0.968015 | − | 0.250891i | \(-0.0807235\pi\) | |||||||
\(62\) | −5280.65 | − | 23136.0i | −0.174465 | − | 0.764381i | ||||
\(63\) | 5892.61 | − | 12302.6i | 0.187050 | − | 0.390523i | ||||
\(64\) | −44618.7 | + | 195487.i | −1.36166 | + | 5.96580i | ||||
\(65\) | 43342.5 | + | 6532.83i | 1.27242 | + | 0.191786i | ||||
\(66\) | 22085.0 | − | 15057.3i | 0.624077 | − | 0.425489i | ||||
\(67\) | 3478.95 | − | 6025.72i | 0.0946806 | − | 0.163992i | −0.814795 | − | 0.579750i | \(-0.803150\pi\) |
0.909475 | + | 0.415758i | \(0.136484\pi\) | |||||||
\(68\) | 33772.9 | + | 58496.3i | 0.885718 | + | 1.53411i | ||||
\(69\) | 15605.2 | + | 7515.05i | 0.394590 | + | 0.190024i | ||||
\(70\) | −56959.3 | − | 22216.0i | −1.38938 | − | 0.541902i | ||||
\(71\) | 51538.0 | − | 24819.4i | 1.21334 | − | 0.584313i | 0.285889 | − | 0.958263i | \(-0.407711\pi\) |
0.927449 | + | 0.373950i | \(0.121997\pi\) | |||||||
\(72\) | −60406.6 | − | 41184.5i | −1.37326 | − | 0.936273i | ||||
\(73\) | 23873.3 | + | 22151.2i | 0.524330 | + | 0.486507i | 0.897352 | − | 0.441315i | \(-0.145488\pi\) |
−0.373022 | + | 0.927822i | \(0.621678\pi\) | |||||||
\(74\) | −13383.9 | − | 12418.5i | −0.284122 | − | 0.263627i | ||||
\(75\) | 13177.9 | + | 8984.55i | 0.270516 | + | 0.184435i | ||||
\(76\) | 88768.1 | − | 42748.5i | 1.76288 | − | 0.848959i | ||||
\(77\) | 22756.1 | − | 13202.5i | 0.437392 | − | 0.253763i | ||||
\(78\) | −123771. | − | 59604.9i | −2.30346 | − | 1.10929i | ||||
\(79\) | 33902.2 | + | 58720.3i | 0.611167 | + | 1.05857i | 0.991044 | + | 0.133535i | \(0.0426328\pi\) |
−0.379878 | + | 0.925037i | \(0.624034\pi\) | |||||||
\(80\) | −100685. | + | 174391.i | −1.75889 | + | 3.04649i | ||||
\(81\) | −18515.1 | + | 12623.4i | −0.313555 | + | 0.213778i | ||||
\(82\) | 26382.4 | + | 3976.51i | 0.433291 | + | 0.0653081i | ||||
\(83\) | 19560.6 | − | 85700.6i | 0.311664 | − | 1.36549i | −0.540116 | − | 0.841591i | \(-0.681620\pi\) |
0.851780 | − | 0.523900i | \(-0.175523\pi\) | |||||||
\(84\) | 111928. | + | 88872.9i | 1.73077 | + | 1.37427i | ||||
\(85\) | 6725.64 | + | 29467.0i | 0.100969 | + | 0.442373i | ||||
\(86\) | −6025.67 | − | 80407.0i | −0.0878535 | − | 1.17232i | ||||
\(87\) | −54580.2 | − | 16835.8i | −0.773102 | − | 0.238471i | ||||
\(88\) | −51514.4 | − | 131257.i | −0.709124 | − | 1.80682i | ||||
\(89\) | −128358. | + | 39593.1i | −1.71770 | + | 0.529840i | −0.988070 | − | 0.154003i | \(-0.950783\pi\) |
−0.729629 | + | 0.683843i | \(0.760307\pi\) | |||||||
\(90\) | −30938.6 | − | 38795.8i | −0.402619 | − | 0.504868i | ||||
\(91\) | −117240. | − | 67358.1i | −1.48413 | − | 0.852681i | ||||
\(92\) | 86407.9 | − | 108352.i | 1.06435 | − | 1.33465i | ||||
\(93\) | −9069.00 | + | 23107.4i | −0.108731 | + | 0.277041i | ||||
\(94\) | 10013.0 | − | 133614.i | 0.116881 | − | 1.55967i | ||||
\(95\) | 43594.8 | − | 6570.85i | 0.495593 | − | 0.0746987i | ||||
\(96\) | 271325. | − | 251753.i | 3.00477 | − | 2.78802i | ||||
\(97\) | 13844.3 | 0.149397 | 0.0746984 | − | 0.997206i | \(-0.476201\pi\) | ||||
0.0746984 | + | 0.997206i | \(0.476201\pi\) | |||||||
\(98\) | 138793. | + | 127693.i | 1.45984 | + | 1.34308i | ||||
\(99\) | 21352.8 | 0.218961 | ||||||||
\(100\) | 93549.4 | − | 86801.2i | 0.935494 | − | 0.868012i | ||||
\(101\) | 57037.9 | − | 8597.09i | 0.556366 | − | 0.0838586i | 0.135160 | − | 0.990824i | \(-0.456845\pi\) |
0.421206 | + | 0.906965i | \(0.361607\pi\) | |||||||
\(102\) | 7079.05 | − | 94463.4i | 0.0673712 | − | 0.899007i | ||||
\(103\) | −64168.0 | + | 163497.i | −0.595971 | + | 1.51851i | 0.240584 | + | 0.970628i | \(0.422661\pi\) |
−0.836556 | + | 0.547882i | \(0.815434\pi\) | |||||||
\(104\) | −451830. | + | 566578.i | −4.09630 | + | 5.13660i | ||||
\(105\) | 36137.5 | + | 52763.9i | 0.319879 | + | 0.467051i | ||||
\(106\) | 5283.74 | + | 6625.60i | 0.0456748 | + | 0.0572744i | ||||
\(107\) | −66777.4 | + | 20598.1i | −0.563858 | + | 0.173927i | −0.563563 | − | 0.826073i | \(-0.690570\pi\) |
−0.000294579 | 1.00000i | \(0.500094\pi\) | ||||||||
\(108\) | 140250. | + | 357351.i | 1.15703 | + | 2.94805i | ||||
\(109\) | 49806.9 | + | 15363.4i | 0.401535 | + | 0.123857i | 0.488944 | − | 0.872315i | \(-0.337382\pi\) |
−0.0874085 | + | 0.996173i | \(0.527859\pi\) | |||||||
\(110\) | −7151.86 | − | 95434.9i | −0.0563556 | − | 0.752013i | ||||
\(111\) | 4249.77 | + | 18619.4i | 0.0327384 | + | 0.143436i | ||||
\(112\) | 484837. | − | 388325.i | 3.65217 | − | 2.92516i | ||||
\(113\) | −4939.02 | + | 21639.3i | −0.0363869 | + | 0.159421i | −0.989857 | − | 0.142065i | \(-0.954626\pi\) |
0.953470 | + | 0.301487i | \(0.0974828\pi\) | |||||||
\(114\) | −136631. | − | 20593.9i | −0.984665 | − | 0.148414i | ||||
\(115\) | 51238.3 | − | 34933.7i | 0.361285 | − | 0.246320i | ||||
\(116\) | −228511. | + | 395792.i | −1.57675 | + | 2.73101i | ||||
\(117\) | −54870.8 | − | 95039.0i | −0.370575 | − | 0.641856i | ||||
\(118\) | 124874. | + | 60136.0i | 0.825593 | + | 0.397584i | ||||
\(119\) | 13701.2 | − | 92224.3i | 0.0886933 | − | 0.597005i | ||||
\(120\) | 308817. | − | 148718.i | 1.95771 | − | 0.942781i | ||||
\(121\) | −99040.4 | − | 67524.6i | −0.614963 | − | 0.419275i | ||||
\(122\) | 85033.3 | + | 78899.4i | 0.517237 | + | 0.479926i | ||||
\(123\) | −20458.4 | − | 18982.6i | −0.121930 | − | 0.113134i | ||||
\(124\) | 164109. | + | 111888.i | 0.958469 | + | 0.653473i | ||||
\(125\) | 169776. | − | 81759.8i | 0.971855 | − | 0.468021i | ||||
\(126\) | 45427.8 | + | 146175.i | 0.254915 | + | 0.820251i | ||||
\(127\) | −242586. | − | 116823.i | −1.33462 | − | 0.642717i | −0.375789 | − | 0.926705i | \(-0.622628\pi\) |
−0.958828 | + | 0.283988i | \(0.908342\pi\) | |||||||
\(128\) | −620502. | − | 1.07474e6i | −3.34748 | − | 5.79801i | ||||
\(129\) | −42172.0 | + | 73044.1i | −0.223126 | + | 0.386466i | ||||
\(130\) | −406391. | + | 277073.i | −2.10905 | + | 1.43792i | ||||
\(131\) | 236358. | + | 35625.3i | 1.20335 | + | 0.181376i | 0.719952 | − | 0.694023i | \(-0.244164\pi\) |
0.483400 | + | 0.875400i | \(0.339402\pi\) | |||||||
\(132\) | −49782.1 | + | 218110.i | −0.248679 | + | 1.08953i | ||||
\(133\) | −132653. | − | 29982.1i | −0.650260 | − | 0.146972i | ||||
\(134\) | 17373.8 | + | 76119.8i | 0.0835861 | + | 0.366214i | ||||
\(135\) | 12837.0 | + | 171298.i | 0.0606220 | + | 0.808944i | ||||
\(136\) | −477509. | − | 147292.i | −2.21378 | − | 0.682860i | ||||
\(137\) | −80174.9 | − | 204282.i | −0.364953 | − | 0.929885i | −0.988922 | − | 0.148436i | \(-0.952576\pi\) |
0.623969 | − | 0.781449i | \(-0.285519\pi\) | |||||||
\(138\) | −185725. | + | 57288.4i | −0.830179 | + | 0.256076i | ||||
\(139\) | 221658. | + | 277950.i | 0.973075 | + | 1.22020i | 0.975455 | + | 0.220201i | \(0.0706713\pi\) |
−0.00237910 | + | 0.999997i | \(0.500757\pi\) | |||||||
\(140\) | 475942. | − | 187956.i | 2.05227 | − | 0.810468i | ||||
\(141\) | −87386.2 | + | 109579.i | −0.370165 | + | 0.464172i | ||||
\(142\) | −234511. | + | 597525.i | −0.975984 | + | 2.48677i | ||||
\(143\) | 15816.8 | − | 211061.i | 0.0646813 | − | 0.863112i | ||||
\(144\) | 498534. | − | 75142.0i | 2.00350 | − | 0.301979i | ||||
\(145\) | −149912. | + | 139098.i | −0.592130 | + | 0.549416i | ||||
\(146\) | −365447. | −1.41887 | ||||||||
\(147\) | −44711.9 | − | 192146.i | −0.170659 | − | 0.733395i | ||||
\(148\) | 152813. | 0.573463 | ||||||||
\(149\) | 51951.4 | − | 48203.9i | 0.191704 | − | 0.177875i | −0.578481 | − | 0.815696i | \(-0.696354\pi\) |
0.770185 | + | 0.637820i | \(0.220164\pi\) | |||||||
\(150\) | −176974. | + | 26674.6i | −0.642217 | + | 0.0967987i | ||||
\(151\) | 17940.7 | − | 239403.i | 0.0640321 | − | 0.854449i | −0.869036 | − | 0.494749i | \(-0.835260\pi\) |
0.933068 | − | 0.359700i | \(-0.117121\pi\) | |||||||
\(152\) | −266296. | + | 678512.i | −0.934881 | + | 2.38204i | ||||
\(153\) | 47181.5 | − | 59163.7i | 0.162946 | − | 0.204328i | ||||
\(154\) | −86420.9 | + | 282288.i | −0.293641 | + | 0.959158i | ||||
\(155\) | 55414.2 | + | 69487.2i | 0.185264 | + | 0.232314i | ||||
\(156\) | 1.09871e6 | − | 338907.i | 3.61469 | − | 1.11498i | ||||
\(157\) | −75516.1 | − | 192412.i | −0.244506 | − | 0.622992i | 0.754956 | − | 0.655775i | \(-0.227658\pi\) |
−0.999462 | + | 0.0327831i | \(0.989563\pi\) | |||||||
\(158\) | −727056. | − | 224267.i | −2.31700 | − | 0.714699i | ||||
\(159\) | −662.449 | − | 8839.77i | −0.00207807 | − | 0.0277299i | ||||
\(160\) | −294887. | − | 1.29199e6i | −0.910660 | − | 3.98986i | ||||
\(161\) | −186412. | + | 42962.2i | −0.566773 | + | 0.130624i | ||||
\(162\) | 55955.0 | − | 245155.i | 0.167514 | − | 0.733927i | ||||
\(163\) | 554839. | + | 83628.5i | 1.63568 | + | 0.246539i | 0.901614 | − | 0.432541i | \(-0.142383\pi\) |
0.734064 | + | 0.679080i | \(0.237621\pi\) | |||||||
\(164\) | −184505. | + | 125793.i | −0.535672 | + | 0.365215i | ||||
\(165\) | −50053.9 | + | 86695.9i | −0.143129 | + | 0.247907i | ||||
\(166\) | 493206. | + | 854258.i | 1.38918 | + | 2.40613i | ||||
\(167\) | 254476. | + | 122549.i | 0.706083 | + | 0.340032i | 0.752228 | − | 0.658903i | \(-0.228979\pi\) |
−0.0461446 | + | 0.998935i | \(0.514693\pi\) | |||||||
\(168\) | −1.05421e6 | + | 81244.4i | −2.88174 | + | 0.222085i | ||||
\(169\) | −645528. | + | 310870.i | −1.73859 | + | 0.837263i | ||||
\(170\) | −280231. | − | 191058.i | −0.743692 | − | 0.507041i | ||||
\(171\) | −80914.5 | − | 75077.7i | −0.211610 | − | 0.196345i | ||||
\(172\) | 494715. | + | 459028.i | 1.27507 | + | 1.18309i | ||||
\(173\) | −79110.4 | − | 53936.6i | −0.200964 | − | 0.137015i | 0.458657 | − | 0.888614i | \(-0.348331\pi\) |
−0.659621 | + | 0.751599i | \(0.729283\pi\) | |||||||
\(174\) | 577468. | − | 278094.i | 1.44596 | − | 0.696336i | ||||
\(175\) | −175634. | + | 13535.5i | −0.433524 | + | 0.0334102i | ||||
\(176\) | 876062. | + | 421889.i | 2.13183 | + | 1.02664i | ||||
\(177\) | −72489.6 | − | 125556.i | −0.173917 | − | 0.301233i | ||||
\(178\) | 753660. | − | 1.30538e6i | 1.78289 | − | 3.08806i | ||||
\(179\) | 164316. | − | 112029.i | 0.383309 | − | 0.261335i | −0.356301 | − | 0.934371i | \(-0.615962\pi\) |
0.739610 | + | 0.673036i | \(0.235010\pi\) | |||||||
\(180\) | 410680. | + | 61900.0i | 0.944761 | + | 0.142400i | ||||
\(181\) | 56657.5 | − | 248233.i | 0.128547 | − | 0.563200i | −0.869100 | − | 0.494636i | \(-0.835301\pi\) |
0.997647 | − | 0.0685635i | \(-0.0218416\pi\) | |||||||
\(182\) | 1.47851e6 | − | 340751.i | 3.30861 | − | 0.762532i | ||||
\(183\) | −27000.4 | − | 118296.i | −0.0595994 | − | 0.261122i | ||||
\(184\) | 76619.4 | + | 1.02242e6i | 0.166838 | + | 2.22630i | ||||
\(185\) | 65341.4 | + | 20155.2i | 0.140365 | + | 0.0432969i | ||||
\(186\) | −101767. | − | 259298.i | −0.215687 | − | 0.549562i | ||||
\(187\) | 139463. | − | 43018.6i | 0.291645 | − | 0.0899605i | ||||
\(188\) | 699211. | + | 876783.i | 1.44282 | + | 1.80925i | ||||
\(189\) | 155119. | − | 506685.i | 0.315871 | − | 1.03177i | ||||
\(190\) | −308453. | + | 386788.i | −0.619876 | + | 0.777300i | ||||
\(191\) | −49637.7 | + | 126475.i | −0.0984528 | + | 0.250854i | −0.971611 | − | 0.236583i | \(-0.923973\pi\) |
0.873159 | + | 0.487436i | \(0.162068\pi\) | |||||||
\(192\) | −175887. | + | 2.34705e6i | −0.344334 | + | 4.59482i | ||||
\(193\) | −184605. | + | 27824.7i | −0.356738 | + | 0.0537696i | −0.324967 | − | 0.945726i | \(-0.605353\pi\) |
−0.0317717 | + | 0.999495i | \(0.510115\pi\) | |||||||
\(194\) | −113881. | + | 105666.i | −0.217244 | + | 0.201573i | ||||
\(195\) | 514498. | 0.968940 | ||||||||
\(196\) | −1.57850e6 | + | 6676.02i | −2.93497 | + | 0.0124130i | ||||
\(197\) | −473930. | −0.870060 | −0.435030 | − | 0.900416i | \(-0.643262\pi\) | ||||
−0.435030 | + | 0.900416i | \(0.643262\pi\) | |||||||
\(198\) | −175646. | + | 162975.i | −0.318401 | + | 0.295433i | ||||
\(199\) | 719085. | − | 108385.i | 1.28721 | − | 0.194015i | 0.530452 | − | 0.847715i | \(-0.322022\pi\) |
0.756754 | + | 0.653700i | \(0.226784\pi\) | |||||||
\(200\) | −70554.0 | + | 941477.i | −0.124723 | + | 1.66431i | ||||
\(201\) | 29837.9 | − | 76025.7i | 0.0520928 | − | 0.132730i | ||||
\(202\) | −403569. | + | 506060.i | −0.695889 | + | 0.872617i | ||||
\(203\) | 586751. | − | 231716.i | 0.999341 | − | 0.394653i | ||||
\(204\) | 494332. | + | 619873.i | 0.831656 | + | 1.04286i | ||||
\(205\) | −95484.2 | + | 29453.0i | −0.158689 | + | 0.0489491i | ||||
\(206\) | −720055. | − | 1.83467e6i | −1.18222 | − | 3.01224i | ||||
\(207\) | −148365. | − | 45764.6i | −0.240661 | − | 0.0742342i | ||||
\(208\) | −373453. | − | 4.98339e6i | −0.598519 | − | 7.98668i | ||||
\(209\) | −47371.2 | − | 207547.i | −0.0750152 | − | 0.328663i | ||||
\(210\) | −699983. | − | 158210.i | −1.09532 | − | 0.247563i | ||||
\(211\) | −133135. | + | 583303.i | −0.205867 | + | 0.901961i | 0.761417 | + | 0.648263i | \(0.224504\pi\) |
−0.967283 | + | 0.253698i | \(0.918353\pi\) | |||||||
\(212\) | −70136.6 | − | 10571.4i | −0.107178 | − | 0.0161545i | ||||
\(213\) | 554773. | − | 378238.i | 0.837850 | − | 0.571236i | ||||
\(214\) | 392087. | − | 679115.i | 0.585259 | − | 1.01370i | ||||
\(215\) | 150992. | + | 261527.i | 0.222771 | + | 0.385851i | ||||
\(216\) | −2.55878e6 | − | 1.23224e6i | −3.73163 | − | 1.79706i | ||||
\(217\) | −81365.8 | − | 261815.i | −0.117299 | − | 0.377437i | ||||
\(218\) | −526966. | + | 253774.i | −0.751003 | + | 0.361664i | ||||
\(219\) | 315845. | + | 215340.i | 0.445004 | + | 0.303399i | ||||
\(220\) | 587176. | + | 544819.i | 0.817921 | + | 0.758920i | ||||
\(221\) | −549851. | − | 510187.i | −0.757294 | − | 0.702666i | ||||
\(222\) | −177071. | − | 120725.i | −0.241137 | − | 0.164405i | ||||
\(223\) | −67370.3 | + | 32443.8i | −0.0907207 | + | 0.0436888i | −0.478694 | − | 0.877982i | \(-0.658890\pi\) |
0.387973 | + | 0.921671i | \(0.373175\pi\) | |||||||
\(224\) | −600731. | + | 4.04359e6i | −0.799945 | + | 5.38453i | ||||
\(225\) | −128813. | − | 62033.2i | −0.169631 | − | 0.0816899i | ||||
\(226\) | −124534. | − | 215699.i | −0.162187 | − | 0.280916i | ||||
\(227\) | −57058.1 | + | 98827.6i | −0.0734942 | + | 0.127296i | −0.900430 | − | 0.435000i | \(-0.856748\pi\) |
0.826936 | + | 0.562296i | \(0.190082\pi\) | |||||||
\(228\) | 955531. | − | 651470.i | 1.21733 | − | 0.829960i | ||||
\(229\) | −583925. | − | 88012.5i | −0.735814 | − | 0.110906i | −0.229565 | − | 0.973293i | \(-0.573730\pi\) |
−0.506249 | + | 0.862387i | \(0.668968\pi\) | |||||||
\(230\) | −154849. | + | 678436.i | −0.193013 | + | 0.845647i | ||||
\(231\) | 241029. | − | 193050.i | 0.297194 | − | 0.238034i | ||||
\(232\) | −752363. | − | 3.29632e6i | −0.917714 | − | 4.02077i | ||||
\(233\) | 70062.9 | + | 934925.i | 0.0845471 | + | 1.12820i | 0.864591 | + | 0.502477i | \(0.167578\pi\) |
−0.780043 | + | 0.625725i | \(0.784803\pi\) | |||||||
\(234\) | 1.17674e6 | + | 362978.i | 1.40489 | + | 0.433351i | ||||
\(235\) | 183334. | + | 467127.i | 0.216557 | + | 0.551779i | ||||
\(236\) | −1.10850e6 | + | 341926.i | −1.29555 | + | 0.399625i | ||||
\(237\) | 496225. | + | 622246.i | 0.573862 | + | 0.719600i | ||||
\(238\) | 591197. | + | 863199.i | 0.676534 | + | 0.987799i | ||||
\(239\) | 253121. | − | 317404.i | 0.286638 | − | 0.359433i | −0.617577 | − | 0.786511i | \(-0.711885\pi\) |
0.904215 | + | 0.427078i | \(0.140457\pi\) | |||||||
\(240\) | −863543. | + | 2.20027e6i | −0.967733 | + | 2.46574i | ||||
\(241\) | −114058. | + | 1.52200e6i | −0.126498 | + | 1.68800i | 0.467861 | + | 0.883802i | \(0.345025\pi\) |
−0.594359 | + | 0.804200i | \(0.702594\pi\) | |||||||
\(242\) | 1.33007e6 | − | 200476.i | 1.45995 | − | 0.220052i | ||||
\(243\) | 535276. | − | 496664.i | 0.581517 | − | 0.539569i | ||||
\(244\) | −970878. | −1.04397 | ||||||||
\(245\) | −675832. | − | 205340.i | −0.719322 | − | 0.218554i | ||||
\(246\) | 313173. | 0.329949 | ||||||||
\(247\) | −802037. | + | 744181.i | −0.836473 | + | 0.776133i | ||||
\(248\) | −1.45301e6 | + | 219006.i | −1.50016 | + | 0.226113i | ||||
\(249\) | 77107.9 | − | 1.02893e6i | 0.0788134 | − | 1.05169i | ||||
\(250\) | −772524. | + | 1.96836e6i | −0.781740 | + | 1.99184i | ||||
\(251\) | 449935. | − | 564201.i | 0.450781 | − | 0.565262i | −0.503568 | − | 0.863956i | \(-0.667980\pi\) |
0.954349 | + | 0.298694i | \(0.0965510\pi\) | |||||||
\(252\) | −1.11087e6 | − | 638233.i | −1.10195 | − | 0.633109i | ||||
\(253\) | −186702. | − | 234117.i | −0.183379 | − | 0.229949i | ||||
\(254\) | 2.88713e6 | − | 890563.i | 2.80791 | − | 0.866124i | ||||
\(255\) | 129614. | + | 330252.i | 0.124825 | + | 0.318050i | ||||
\(256\) | 7.17572e6 | + | 2.21342e6i | 6.84330 | + | 2.11088i | ||||
\(257\) | 141095. | + | 1.88279e6i | 0.133254 | + | 1.77815i | 0.518246 | + | 0.855232i | \(0.326585\pi\) |
−0.384992 | + | 0.922920i | \(0.625796\pi\) | |||||||
\(258\) | −210607. | − | 922729.i | −0.196981 | − | 0.863028i | ||||
\(259\) | −165193. | − | 131166.i | −0.153018 | − | 0.121499i | ||||
\(260\) | 916052. | − | 4.01348e6i | 0.840401 | − | 3.68204i | ||||
\(261\) | 506295. | + | 76311.7i | 0.460047 | + | 0.0693409i | ||||
\(262\) | −2.21616e6 | + | 1.51095e6i | −1.99457 | + | 1.35987i | ||||
\(263\) | −338340. | + | 586022.i | −0.301623 | + | 0.522426i | −0.976504 | − | 0.215501i | \(-0.930862\pi\) |
0.674881 | + | 0.737927i | \(0.264195\pi\) | |||||||
\(264\) | −827546. | − | 1.43335e6i | −0.730773 | − | 1.26574i | ||||
\(265\) | −28595.5 | − | 13770.9i | −0.0250140 | − | 0.0120461i | ||||
\(266\) | 1.32002e6 | − | 765842.i | 1.14387 | − | 0.663644i | ||||
\(267\) | −1.42056e6 | + | 684106.i | −1.21950 | + | 0.587280i | ||||
\(268\) | −539934. | − | 368121.i | −0.459202 | − | 0.313079i | ||||
\(269\) | −380261. | − | 352831.i | −0.320406 | − | 0.297294i | 0.503528 | − | 0.863979i | \(-0.332035\pi\) |
−0.823934 | + | 0.566685i | \(0.808226\pi\) | |||||||
\(270\) | −1.41303e6 | − | 1.31110e6i | −1.17962 | − | 1.09453i | ||||
\(271\) | 156246. | + | 106527.i | 0.129237 | + | 0.0881120i | 0.626213 | − | 0.779652i | \(-0.284604\pi\) |
−0.496976 | + | 0.867764i | \(0.665556\pi\) | |||||||
\(272\) | 3.10471e6 | − | 1.49515e6i | 2.54448 | − | 1.22536i | ||||
\(273\) | −1.47862e6 | − | 576710.i | −1.20074 | − | 0.468329i | ||||
\(274\) | 2.21869e6 | + | 1.06847e6i | 1.78534 | + | 0.859774i | ||||
\(275\) | −137871. | − | 238800.i | −0.109936 | − | 0.190415i | ||||
\(276\) | 813366. | − | 1.40879e6i | 0.642707 | − | 1.11320i | ||||
\(277\) | −1.35523e6 | + | 923980.i | −1.06124 | + | 0.723541i | −0.962420 | − | 0.271564i | \(-0.912459\pi\) |
−0.0988194 | + | 0.995105i | \(0.531507\pi\) | |||||||
\(278\) | −3.94478e6 | − | 594580.i | −3.06134 | − | 0.461422i | ||||
\(279\) | 49515.6 | − | 216942.i | 0.0380830 | − | 0.166853i | ||||
\(280\) | −1.63533e6 | + | 3.41425e6i | −1.24655 | + | 2.60255i | ||||
\(281\) | 182609. | + | 800062.i | 0.137961 | + | 0.604446i | 0.995882 | + | 0.0906640i | \(0.0288989\pi\) |
−0.857921 | + | 0.513782i | \(0.828244\pi\) | |||||||
\(282\) | −117532. | − | 1.56835e6i | −0.0880102 | − | 1.17441i | ||||
\(283\) | 1.58766e6 | + | 489728.i | 1.17840 | + | 0.363487i | 0.821254 | − | 0.570563i | \(-0.193275\pi\) |
0.357142 | + | 0.934050i | \(0.383751\pi\) | |||||||
\(284\) | −1.96279e6 | − | 5.00110e6i | −1.44404 | − | 3.67934i | ||||
\(285\) | 494502. | − | 152534.i | 0.360625 | − | 0.111238i | ||||
\(286\) | 1.48081e6 | + | 1.85688e6i | 1.07049 | + | 1.34236i | ||||
\(287\) | 307427. | + | 22384.8i | 0.220312 | + | 0.0160416i | ||||
\(288\) | −2.06868e6 | + | 2.59405e6i | −1.46965 | + | 1.84288i | ||||
\(289\) | −329768. | + | 840234.i | −0.232254 | + | 0.591774i | ||||
\(290\) | 171492. | − | 2.28841e6i | 0.119743 | − | 1.59786i | ||||
\(291\) | 160688. | − | 24219.9i | 0.111238 | − | 0.0167664i | ||||
\(292\) | 2.24217e6 | − | 2.08043e6i | 1.53891 | − | 1.42790i | ||||
\(293\) | −1.00835e6 | −0.686187 | −0.343094 | − | 0.939301i | \(-0.611475\pi\) | ||||
−0.343094 | + | 0.939301i | \(0.611475\pi\) | |||||||
\(294\) | 1.83435e6 | + | 1.23930e6i | 1.23769 | + | 0.836199i | ||||
\(295\) | −519082. | −0.347281 | ||||||||
\(296\) | −828731. | + | 768950.i | −0.549774 | + | 0.510116i | ||||
\(297\) | 820205. | − | 123626.i | 0.539549 | − | 0.0813240i | ||||
\(298\) | −59429.9 | + | 793037.i | −0.0387672 | + | 0.517312i | ||||
\(299\) | −562257. | + | 1.43261e6i | −0.363711 | + | 0.926721i | ||||
\(300\) | 933959. | − | 1.17115e6i | 0.599135 | − | 0.751291i | ||||
\(301\) | −140789. | − | 920853.i | −0.0895676 | − | 0.585834i | ||||
\(302\) | 1.67966e6 | + | 2.10623e6i | 1.05975 | + | 1.32889i | ||||
\(303\) | 646990. | − | 199570.i | 0.404847 | − | 0.124879i | ||||
\(304\) | −1.83637e6 | − | 4.67899e6i | −1.13966 | − | 2.90381i | ||||
\(305\) | −415139. | − | 128053.i | −0.255531 | − | 0.0788209i | ||||
\(306\) | 63457.8 | + | 846786.i | 0.0387420 | + | 0.516975i | ||||
\(307\) | −133665. | − | 585626.i | −0.0809418 | − | 0.354629i | 0.918197 | − | 0.396124i | \(-0.129645\pi\) |
−0.999139 | + | 0.0414951i | \(0.986788\pi\) | |||||||
\(308\) | −1.07679e6 | − | 2.22394e6i | −0.646777 | − | 1.33581i | ||||
\(309\) | −458757. | + | 2.00995e6i | −0.273329 | + | 1.19753i | ||||
\(310\) | −986190. | − | 148644.i | −0.582850 | − | 0.0878504i | ||||
\(311\) | 2.04860e6 | − | 1.39671e6i | 1.20104 | − | 0.818852i | 0.213607 | − | 0.976920i | \(-0.431479\pi\) |
0.987428 | + | 0.158068i | \(0.0505264\pi\) | |||||||
\(312\) | −4.25312e6 | + | 7.36663e6i | −2.47355 | + | 4.28432i | ||||
\(313\) | 107595. | + | 186359.i | 0.0620769 | + | 0.107520i | 0.895394 | − | 0.445276i | \(-0.146894\pi\) |
−0.833317 | + | 0.552796i | \(0.813561\pi\) | |||||||
\(314\) | 2.08977e6 | + | 1.00638e6i | 1.19612 | + | 0.576020i | ||||
\(315\) | −390819. | − | 419421.i | −0.221922 | − | 0.238163i | ||||
\(316\) | 5.73752e6 | − | 2.76304e6i | 3.23226 | − | 1.55658i | ||||
\(317\) | −764427. | − | 521178.i | −0.427256 | − | 0.291298i | 0.330537 | − | 0.943793i | \(-0.392770\pi\) |
−0.757793 | + | 0.652495i | \(0.773722\pi\) | |||||||
\(318\) | 72918.7 | + | 67658.6i | 0.0404363 | + | 0.0375194i | ||||
\(319\) | 723883. | + | 671665.i | 0.398283 | + | 0.369552i | ||||
\(320\) | 6.96264e6 | + | 4.74705e6i | 3.80101 | + | 2.59149i | ||||
\(321\) | −739038. | + | 355902.i | −0.400317 | + | 0.192783i | ||||
\(322\) | 1.20549e6 | − | 1.77619e6i | 0.647924 | − | 0.954662i | ||||
\(323\) | −679736. | − | 327344.i | −0.362522 | − | 0.174581i | ||||
\(324\) | 1.05232e6 | + | 1.82267e6i | 0.556910 | + | 0.964597i | ||||
\(325\) | −708580. | + | 1.22730e6i | −0.372118 | + | 0.644527i | ||||
\(326\) | −5.20233e6 | + | 3.54689e6i | −2.71115 | + | 1.84843i | ||||
\(327\) | 604978. | + | 91185.8i | 0.312875 | + | 0.0471583i | ||||
\(328\) | 367615. | − | 1.61063e6i | 0.188672 | − | 0.826628i | ||||
\(329\) | −3273.47 | − | 1.54798e6i | −0.00166732 | − | 0.788453i | ||||
\(330\) | −249969. | − | 1.09518e6i | −0.126357 | − | 0.553608i | ||||
\(331\) | 143905. | + | 1.92028e6i | 0.0721949 | + | 0.963374i | 0.909249 | + | 0.416253i | \(0.136657\pi\) |
−0.837054 | + | 0.547121i | \(0.815724\pi\) | |||||||
\(332\) | −7.88919e6 | − | 2.43349e6i | −3.92814 | − | 1.21167i | ||||
\(333\) | −62546.4 | − | 159366.i | −0.0309095 | − | 0.0787561i | ||||
\(334\) | −3.02864e6 | + | 934213.i | −1.48553 | + | 0.458226i | ||||
\(335\) | −182318. | − | 228620.i | −0.0887601 | − | 0.111302i | ||||
\(336\) | 4.94806e6 | − | 5.35541e6i | 2.39104 | − | 2.58788i | ||||
\(337\) | 1.19825e6 | − | 1.50256e6i | 0.574742 | − | 0.720704i | −0.406464 | − | 0.913667i | \(-0.633238\pi\) |
0.981206 | + | 0.192963i | \(0.0618097\pi\) | |||||||
\(338\) | 2.93732e6 | − | 7.48416e6i | 1.39849 | − | 3.56329i | ||||
\(339\) | −19469.6 | + | 259804.i | −0.00920148 | + | 0.122785i | ||||
\(340\) | 2.80700e6 | − | 423087.i | 1.31688 | − | 0.198487i | ||||
\(341\) | 314599. | − | 291906.i | 0.146512 | − | 0.135943i | ||||
\(342\) | 1.23862e6 | 0.572629 | ||||||||
\(343\) | 1.71211e6 | + | 1.34768e6i | 0.785771 | + | 0.618517i | ||||
\(344\) | −4.99275e6 | −2.27480 | ||||||||
\(345\) | 533600. | − | 495108.i | 0.241361 | − | 0.223951i | ||||
\(346\) | 1.06242e6 | − | 160134.i | 0.477097 | − | 0.0719108i | ||||
\(347\) | −69184.9 | + | 923209.i | −0.0308452 | + | 0.411601i | 0.960314 | + | 0.278922i | \(0.0899770\pi\) |
−0.991159 | + | 0.132679i | \(0.957642\pi\) | |||||||
\(348\) | −1.95987e6 | + | 4.99366e6i | −0.867519 | + | 2.21040i | ||||
\(349\) | 1.19003e6 | − | 1.49225e6i | 0.522991 | − | 0.655809i | −0.448250 | − | 0.893908i | \(-0.647953\pi\) |
0.971241 | + | 0.238099i | \(0.0765241\pi\) | |||||||
\(350\) | 1.34143e6 | − | 1.45187e6i | 0.585327 | − | 0.633514i | ||||
\(351\) | −2.65794e6 | − | 3.33295e6i | −1.15154 | − | 1.44398i | ||||
\(352\) | −6.11478e6 | + | 1.88616e6i | −2.63041 | + | 0.811375i | ||||
\(353\) | 358517. | + | 913485.i | 0.153134 | + | 0.390180i | 0.986768 | − | 0.162138i | \(-0.0518388\pi\) |
−0.833634 | + | 0.552318i | \(0.813744\pi\) | |||||||
\(354\) | 1.55459e6 | + | 479528.i | 0.659338 | + | 0.203379i | ||||
\(355\) | −179654. | − | 2.39731e6i | −0.0756598 | − | 1.00961i | ||||
\(356\) | 2.80728e6 | + | 1.22995e7i | 1.17398 | + | 5.14355i | ||||
\(357\) | −2314.30 | − | 1.09440e6i | −0.000961056 | − | 0.454471i | ||||
\(358\) | −496585. | + | 2.17568e6i | −0.204779 | + | 0.897196i | ||||
\(359\) | 1.49673e6 | + | 225595.i | 0.612924 | + | 0.0923835i | 0.448166 | − | 0.893950i | \(-0.352077\pi\) |
0.164758 | + | 0.986334i | \(0.447316\pi\) | |||||||
\(360\) | −2.53867e6 | + | 1.73084e6i | −1.03241 | + | 0.703882i | ||||
\(361\) | 687812. | − | 1.19133e6i | 0.277781 | − | 0.481130i | ||||
\(362\) | 1.42858e6 | + | 2.47437e6i | 0.572970 | + | 0.992414i | ||||
\(363\) | −1.26768e6 | − | 610481.i | −0.504942 | − | 0.243167i | ||||
\(364\) | −7.13144e6 | + | 1.05076e7i | −2.82113 | + | 4.15670i | ||||
\(365\) | 1.23313e6 | − | 593845.i | 0.484481 | − | 0.233314i | ||||
\(366\) | 1.12500e6 | + | 767010.i | 0.438984 | + | 0.299294i | ||||
\(367\) | −1.64608e6 | − | 1.52733e6i | −0.637947 | − | 0.591928i | 0.293432 | − | 0.955980i | \(-0.405203\pi\) |
−0.931379 | + | 0.364052i | \(0.881393\pi\) | |||||||
\(368\) | −5.18290e6 | − | 4.80903e6i | −1.99505 | − | 1.85113i | ||||
\(369\) | 206706. | + | 140930.i | 0.0790291 | + | 0.0538811i | ||||
\(370\) | −691324. | + | 332924.i | −0.262529 | + | 0.126427i | ||||
\(371\) | 66744.8 | + | 71629.4i | 0.0251758 | + | 0.0270182i | ||||
\(372\) | 2.10053e6 | + | 1.01156e6i | 0.786993 | + | 0.378996i | ||||
\(373\) | 2.17578e6 | + | 3.76856e6i | 0.809735 | + | 1.40250i | 0.913048 | + | 0.407853i | \(0.133722\pi\) |
−0.103313 | + | 0.994649i | \(0.532944\pi\) | |||||||
\(374\) | −818864. | + | 1.41831e6i | −0.302714 | + | 0.524316i | ||||
\(375\) | 1.82753e6 | − | 1.24599e6i | 0.671098 | − | 0.457547i | ||||
\(376\) | −8.20390e6 | − | 1.23654e6i | −2.99261 | − | 0.451064i | ||||
\(377\) | 1.12933e6 | − | 4.94791e6i | 0.409229 | − | 1.79295i | ||||
\(378\) | 2.59128e6 | + | 5.35186e6i | 0.932791 | + | 1.92653i | ||||
\(379\) | −8023.12 | − | 35151.6i | −0.00286910 | − | 0.0125703i | 0.973473 | − | 0.228801i | \(-0.0734807\pi\) |
−0.976342 | + | 0.216231i | \(0.930624\pi\) | |||||||
\(380\) | −309432. | − | 4.12908e6i | −0.109927 | − | 1.46688i | ||||
\(381\) | −3.02003e6 | − | 931556.i | −1.06586 | − | 0.328773i | ||||
\(382\) | −557004. | − | 1.41922e6i | −0.195299 | − | 0.497614i | ||||
\(383\) | 4.63827e6 | − | 1.43072e6i | 1.61569 | − | 0.498376i | 0.650412 | − | 0.759582i | \(-0.274596\pi\) |
0.965283 | + | 0.261206i | \(0.0841203\pi\) | |||||||
\(384\) | −9.08227e6 | − | 1.13888e7i | −3.14316 | − | 3.94140i | ||||
\(385\) | −167102. | − | 1.09296e6i | −0.0574551 | − | 0.375796i | ||||
\(386\) | 1.30616e6 | − | 1.63788e6i | 0.446200 | − | 0.559517i | ||||
\(387\) | 276225. | − | 703810.i | 0.0937531 | − | 0.238879i | ||||
\(388\) | 97168.0 | − | 1.29662e6i | 0.0327676 | − | 0.437253i | ||||
\(389\) | 4.43227e6 | − | 668057.i | 1.48509 | − | 0.223841i | 0.644119 | − | 0.764925i | \(-0.277224\pi\) |
0.840968 | + | 0.541084i | \(0.181986\pi\) | |||||||
\(390\) | −4.23219e6 | + | 3.92690e6i | −1.40898 | + | 1.30734i | ||||
\(391\) | −1.06123e6 | −0.351047 | ||||||||
\(392\) | 8.52688e6 | − | 7.97916e6i | 2.80269 | − | 2.62266i | ||||
\(393\) | 2.80570e6 | 0.916346 | ||||||||
\(394\) | 3.89849e6 | − | 3.61727e6i | 1.26519 | − | 1.17392i | ||||
\(395\) | 2.81774e6 | − | 424707.i | 0.908676 | − | 0.136961i | ||||
\(396\) | 149868. | − | 1.99985e6i | 0.0480253 | − | 0.640854i | ||||
\(397\) | 1.66172e6 | − | 4.23398e6i | 0.529152 | − | 1.34826i | −0.377356 | − | 0.926068i | \(-0.623167\pi\) |
0.906508 | − | 0.422189i | \(-0.138738\pi\) | |||||||
\(398\) | −5.08786e6 | + | 6.37997e6i | −1.61000 | + | 2.01888i | ||||
\(399\) | −1.59213e6 | − | 115928.i | −0.500664 | − | 0.0364551i | ||||
\(400\) | −4.05929e6 | − | 5.09019e6i | −1.26853 | − | 1.59068i | ||||
\(401\) | −5.49437e6 | + | 1.69479e6i | −1.70631 | + | 0.526326i | −0.985916 | − | 0.167242i | \(-0.946514\pi\) |
−0.720391 | + | 0.693568i | \(0.756038\pi\) | |||||||
\(402\) | 334823. | + | 853115.i | 0.103336 | + | 0.263295i | ||||
\(403\) | −2.10767e6 | − | 650130.i | −0.646458 | − | 0.199406i | ||||
\(404\) | −404850. | − | 5.40235e6i | −0.123407 | − | 1.64676i | ||||
\(405\) | 209563. | + | 918154.i | 0.0634858 | + | 0.278149i | ||||
\(406\) | −3.05797e6 | + | 6.38444e6i | −0.920699 | + | 1.92224i | ||||
\(407\) | 73472.9 | − | 321906.i | 0.0219857 | − | 0.0963258i | ||||
\(408\) | −5.80004e6 | − | 874216.i | −1.72497 | − | 0.259997i | ||||
\(409\) | −3.77550e6 | + | 2.57409e6i | −1.11600 | + | 0.760879i | −0.973448 | − | 0.228907i | \(-0.926485\pi\) |
−0.142557 | + | 0.989787i | \(0.545532\pi\) | |||||||
\(410\) | 560641. | − | 971059.i | 0.164712 | − | 0.285289i | ||||
\(411\) | −1.28796e6 | − | 2.23081e6i | −0.376095 | − | 0.651415i | ||||
\(412\) | 1.48623e7 | + | 7.15732e6i | 4.31364 | + | 2.07734i | ||||
\(413\) | 1.49180e6 | + | 581849.i | 0.430362 | + | 0.167855i | ||||
\(414\) | 1.56973e6 | − | 755943.i | 0.450116 | − | 0.216764i | ||||
\(415\) | −3.05238e6 | − | 2.08108e6i | −0.870000 | − | 0.593156i | ||||
\(416\) | 2.41083e7 | + | 2.23693e7i | 6.83021 | + | 6.33751i | ||||
\(417\) | 3.05901e6 | + | 2.83834e6i | 0.861471 | + | 0.799328i | ||||
\(418\) | 1.97377e6 | + | 1.34569e6i | 0.552530 | + | 0.376708i | ||||
\(419\) | −3.05120e6 | + | 1.46938e6i | −0.849055 | + | 0.408883i | −0.807227 | − | 0.590242i | \(-0.799032\pi\) |
−0.0418280 | + | 0.999125i | \(0.513318\pi\) | |||||||
\(420\) | 5.19536e6 | − | 3.01421e6i | 1.43712 | − | 0.833777i | ||||
\(421\) | −4.17672e6 | − | 2.01140e6i | −1.14850 | − | 0.553088i | −0.239916 | − | 0.970794i | \(-0.577120\pi\) |
−0.908582 | + | 0.417706i | \(0.862834\pi\) | |||||||
\(422\) | −3.35690e6 | − | 5.81432e6i | −0.917608 | − | 1.58934i | ||||
\(423\) | 628194. | − | 1.08806e6i | 0.170704 | − | 0.295667i | ||||
\(424\) | 433558. | − | 295595.i | 0.117120 | − | 0.0798514i | ||||
\(425\) | −966300. | − | 145646.i | −0.259501 | − | 0.0391135i | ||||
\(426\) | −1.67659e6 | + | 7.34563e6i | −0.447614 | + | 1.96112i | ||||
\(427\) | 1.04953e6 | + | 833350.i | 0.278565 | + | 0.221186i | ||||
\(428\) | 1.46047e6 | + | 6.39875e6i | 0.385375 | + | 1.68844i | ||||
\(429\) | −185657. | − | 2.47742e6i | −0.0487043 | − | 0.649914i | ||||
\(430\) | −3.23814e6 | − | 998835.i | −0.844549 | − | 0.260509i | ||||
\(431\) | 785126. | + | 2.00047e6i | 0.203585 | + | 0.518726i | 0.995804 | − | 0.0915105i | \(-0.0291695\pi\) |
−0.792219 | + | 0.610237i | \(0.791074\pi\) | |||||||
\(432\) | 1.87146e7 | − | 5.77270e6i | 4.82472 | − | 1.48823i | ||||
\(433\) | −981714. | − | 1.23103e6i | −0.251632 | − | 0.315536i | 0.639932 | − | 0.768431i | \(-0.278962\pi\) |
−0.891564 | + | 0.452896i | \(0.850391\pi\) | |||||||
\(434\) | 2.66760e6 | + | 1.53263e6i | 0.679824 | + | 0.390582i | ||||
\(435\) | −1.49666e6 | + | 1.87675e6i | −0.379228 | + | 0.475536i | ||||
\(436\) | 1.78847e6 | − | 4.55695e6i | 0.450573 | − | 1.14804i | ||||
\(437\) | −115678. | + | 1.54362e6i | −0.0289767 | + | 0.386667i | ||||
\(438\) | −4.24168e6 | + | 639331.i | −1.05646 | + | 0.159236i | ||||
\(439\) | −1.49087e6 | + | 1.38332e6i | −0.369213 | + | 0.342580i | −0.842858 | − | 0.538136i | \(-0.819129\pi\) |
0.473645 | + | 0.880716i | \(0.342938\pi\) | |||||||
\(440\) | −5.92588e6 | −1.45922 | ||||||||
\(441\) | 653043. | + | 1.64345e6i | 0.159899 | + | 0.402403i | ||||
\(442\) | 8.41700e6 | 2.04928 | ||||||||
\(443\) | −4.26719e6 | + | 3.95937e6i | −1.03308 | + | 0.958555i | −0.999164 | − | 0.0408703i | \(-0.986987\pi\) |
−0.0339116 | + | 0.999425i | \(0.510796\pi\) | |||||||
\(444\) | 1.77367e6 | − | 267338.i | 0.426988 | − | 0.0643581i | ||||
\(445\) | −421868. | + | 5.62943e6i | −0.100989 | + | 1.34761i | ||||
\(446\) | 306552. | − | 781082.i | 0.0729738 | − | 0.185934i | ||||
\(447\) | 518661. | − | 650380.i | 0.122776 | − | 0.153957i | ||||
\(448\) | −1.46889e7 | − | 2.14471e7i | −3.45776 | − | 5.04864i | ||||
\(449\) | 3.31098e6 | + | 4.15184e6i | 0.775071 | + | 0.971908i | 0.999997 | − | 0.00246804i | \(-0.000785601\pi\) |
−0.224926 | + | 0.974376i | \(0.572214\pi\) | |||||||
\(450\) | 1.53307e6 | − | 472889.i | 0.356887 | − | 0.110085i | ||||
\(451\) | 176278. | + | 449149.i | 0.0408090 | + | 0.103980i | ||||
\(452\) | 1.99201e6 | + | 614453.i | 0.458611 | + | 0.141463i | ||||
\(453\) | −210587. | − | 2.81009e6i | −0.0482155 | − | 0.643391i | ||||
\(454\) | −284948. | − | 1.24844e6i | −0.0648822 | − | 0.284268i | ||||
\(455\) | −4.43523e6 | + | 3.55235e6i | −1.00436 | + | 0.804428i | ||||
\(456\) | −1.90384e6 | + | 8.34125e6i | −0.428763 | + | 1.87853i | ||||
\(457\) | −1.29661e6 | − | 195432.i | −0.290415 | − | 0.0437730i | 0.00221918 | − | 0.999998i | \(-0.499294\pi\) |
−0.292634 | + | 0.956225i | \(0.594532\pi\) | |||||||
\(458\) | 5.47504e6 | − | 3.73282e6i | 1.21962 | − | 0.831521i | ||||
\(459\) | 1.46980e6 | − | 2.54576e6i | 0.325631 | − | 0.564009i | ||||
\(460\) | −2.91217e6 | − | 5.04402e6i | −0.641685 | − | 1.11143i | ||||
\(461\) | −4.31793e6 | − | 2.07940e6i | −0.946288 | − | 0.455708i | −0.103905 | − | 0.994587i | \(-0.533134\pi\) |
−0.842383 | + | 0.538879i | \(0.818848\pi\) | |||||||
\(462\) | −509225. | + | 3.42766e6i | −0.110995 | + | 0.747123i | ||||
\(463\) | 418109. | − | 201351.i | 0.0906435 | − | 0.0436516i | −0.388013 | − | 0.921654i | \(-0.626838\pi\) |
0.478656 | + | 0.878002i | \(0.341124\pi\) | |||||||
\(464\) | 1.92644e7 | + | 1.31343e7i | 4.15395 | + | 2.83212i | ||||
\(465\) | 764748. | + | 709582.i | 0.164016 | + | 0.152184i | ||||
\(466\) | −7.71214e6 | − | 7.15582e6i | −1.64517 | − | 1.52649i | ||||
\(467\) | 4.34088e6 | + | 2.95956e6i | 0.921056 | + | 0.627965i | 0.928229 | − | 0.372009i | \(-0.121331\pi\) |
−0.00717350 | + | 0.999974i | \(0.502283\pi\) | |||||||
\(468\) | −9.28621e6 | + | 4.47200e6i | −1.95985 | + | 0.943816i | ||||
\(469\) | 267701. | + | 861395.i | 0.0561977 | + | 0.180830i | ||||
\(470\) | −5.07342e6 | − | 2.44323e6i | −1.05939 | − | 0.510176i | ||||
\(471\) | −1.21312e6 | − | 2.10118e6i | −0.251971 | − | 0.436427i | ||||
\(472\) | 4.29102e6 | − | 7.43227e6i | 0.886555 | − | 1.53556i | ||||
\(473\) | 1.20482e6 | − | 821432.i | 0.247611 | − | 0.168818i | ||||
\(474\) | −8.83117e6 | − | 1.33108e6i | −1.80540 | − | 0.272120i | ||||
\(475\) | −317183. | + | 1.38967e6i | −0.0645024 | + | 0.282604i | ||||
\(476\) | −8.54130e6 | − | 1.93050e6i | −1.72785 | − | 0.390529i | ||||
\(477\) | 17682.3 | + | 77471.1i | 0.00355829 | + | 0.0155899i | ||||
\(478\) | 340441. | + | 4.54287e6i | 0.0681510 | + | 0.909412i | ||||
\(479\) | −670826. | − | 206923.i | −0.133589 | − | 0.0412068i | 0.227240 | − | 0.973839i | \(-0.427030\pi\) |
−0.360829 | + | 0.932632i | \(0.617506\pi\) | |||||||
\(480\) | −5.68297e6 | − | 1.44800e7i | −1.12583 | − | 2.86857i | ||||
\(481\) | −1.62157e6 | + | 500188.i | −0.319575 | + | 0.0985759i | ||||
\(482\) | −1.06784e7 | − | 1.33903e7i | −2.09358 | − | 2.62527i | ||||
\(483\) | −2.08849e6 | + | 824774.i | −0.407347 | + | 0.160867i | ||||
\(484\) | −7.01929e6 | + | 8.80192e6i | −1.36201 | + | 1.70791i | ||||
\(485\) | 212565. | − | 541607.i | 0.0410334 | − | 0.104551i | ||||
\(486\) | −612330. | + | 8.17098e6i | −0.117597 | + | 1.56922i | ||||
\(487\) | 6.42909e6 | − | 969029.i | 1.22836 | − | 0.185146i | 0.497375 | − | 0.867536i | \(-0.334297\pi\) |
0.730989 | + | 0.682390i | \(0.239059\pi\) | |||||||
\(488\) | 5.26525e6 | − | 4.88543e6i | 1.00085 | − | 0.928653i | ||||
\(489\) | 6.58623e6 | 1.24556 | ||||||||
\(490\) | 7.12656e6 | − | 3.46918e6i | 1.34088 | − | 0.652734i | ||||
\(491\) | −1.44689e6 | −0.270852 | −0.135426 | − | 0.990787i | \(-0.543240\pi\) | ||||
−0.135426 | + | 0.990787i | \(0.543240\pi\) | |||||||
\(492\) | −1.92145e6 | + | 1.78284e6i | −0.357863 | + | 0.332048i | ||||
\(493\) | 3.46053e6 | − | 521591.i | 0.641247 | − | 0.0966524i | ||||
\(494\) | 917492. | − | 1.22431e7i | 0.169155 | − | 2.25722i | ||||
\(495\) | 327851. | − | 835351.i | 0.0601400 | − | 0.153234i | ||||
\(496\) | 6.31786e6 | − | 7.92235e6i | 1.15310 | − | 1.44594i | ||||
\(497\) | −2.17088e6 | + | 7.09103e6i | −0.394226 | + | 1.28771i | ||||
\(498\) | 7.21904e6 | + | 9.05239e6i | 1.30439 | + | 1.63565i | ||||
\(499\) | 929544. | − | 286726.i | 0.167116 | − | 0.0515485i | −0.210068 | − | 0.977687i | \(-0.567369\pi\) |
0.377184 | + | 0.926138i | \(0.376892\pi\) | |||||||
\(500\) | −6.46580e6 | − | 1.64746e7i | −1.15664 | − | 2.94706i | ||||
\(501\) | 3.16806e6 | + | 977216.i | 0.563896 | + | 0.173939i | ||||
\(502\) | 605150. | + | 8.07517e6i | 0.107178 | + | 1.43019i | ||||
\(503\) | 500496. | + | 2.19282e6i | 0.0882025 | + | 0.386440i | 0.999690 | − | 0.0248868i | \(-0.00792252\pi\) |
−0.911488 | + | 0.411327i | \(0.865065\pi\) | |||||||
\(504\) | 9.23603e6 | − | 2.12862e6i | 1.61960 | − | 0.373269i | ||||
\(505\) | 539430. | − | 2.36340e6i | 0.0941254 | − | 0.412390i | ||||
\(506\) | 3.32269e6 | + | 500815.i | 0.576917 | + | 0.0869562i | ||||
\(507\) | −6.94868e6 | + | 4.73753e6i | −1.20056 | + | 0.818526i | ||||
\(508\) | −1.26440e7 | + | 2.19000e7i | −2.17382 | + | 3.76517i | ||||
\(509\) | −2.98995e6 | − | 5.17874e6i | −0.511528 | − | 0.885993i | −0.999911 | − | 0.0133630i | \(-0.995746\pi\) |
0.488383 | − | 0.872630i | \(-0.337587\pi\) | |||||||
\(510\) | −3.58684e6 | − | 1.72733e6i | −0.610641 | − | 0.294069i | ||||
\(511\) | −4.20956e6 | + | 324416.i | −0.713155 | + | 0.0549604i | ||||
\(512\) | −4.01410e7 | + | 1.93309e7i | −6.76727 | + | 3.25894i | ||||
\(513\) | −3.54276e6 | − | 2.41542e6i | −0.594359 | − | 0.405227i | ||||
\(514\) | −1.55310e7 | − | 1.44107e7i | −2.59293 | − | 2.40589i | ||||
\(515\) | 5.41099e6 | + | 5.02067e6i | 0.898999 | + | 0.834149i | ||||
\(516\) | 6.54512e6 | + | 4.46238e6i | 1.08216 | + | 0.737807i | ||||
\(517\) | 2.18316e6 | − | 1.05135e6i | 0.359219 | − | 0.172991i | ||||
\(518\) | 2.35998e6 | − | 181876.i | 0.386442 | − | 0.0297817i | ||||
\(519\) | −1.01258e6 | − | 487633.i | −0.165010 | − | 0.0794648i | ||||
\(520\) | 1.52278e7 | + | 2.63754e7i | 2.46962 | + | 4.27751i | ||||
\(521\) | −4.52940e6 | + | 7.84515e6i | −0.731049 | + | 1.26621i | 0.225386 | + | 0.974270i | \(0.427636\pi\) |
−0.956435 | + | 0.291945i | \(0.905698\pi\) | |||||||
\(522\) | −4.74716e6 | + | 3.23656e6i | −0.762532 | + | 0.519885i | ||||
\(523\) | 1.10083e7 | + | 1.65924e6i | 1.75982 | + | 0.265250i | 0.947910 | − | 0.318538i | \(-0.103192\pi\) |
0.811906 | + | 0.583788i | \(0.198430\pi\) | |||||||
\(524\) | 4.99548e6 | − | 2.18866e7i | 0.794784 | − | 3.48217i | ||||
\(525\) | −2.01487e6 | + | 464367.i | −0.319043 | + | 0.0735297i | ||||
\(526\) | −1.68967e6 | − | 7.40292e6i | −0.266279 | − | 1.16664i | ||||
\(527\) | −113659. | − | 1.51668e6i | −0.0178270 | − | 0.237885i | ||||
\(528\) | 1.09064e7 | + | 3.36417e6i | 1.70253 | + | 0.525162i | ||||
\(529\) | −1.55598e6 | − | 3.96456e6i | −0.241748 | − | 0.615965i | ||||
\(530\) | 340329. | − | 104977.i | 0.0526270 | − | 0.0162333i | ||||
\(531\) | 810299. | + | 1.01608e6i | 0.124712 | + | 0.156384i | ||||
\(532\) | −3.73908e6 | + | 1.22134e7i | −0.572778 | + | 1.87094i | ||||
\(533\) | 1.54612e6 | − | 1.93878e6i | 0.235736 | − | 0.295604i | ||||
\(534\) | 6.46391e6 | − | 1.64698e7i | 0.980940 | − | 2.49939i | ||||
\(535\) | −219474. | + | 2.92868e6i | −0.0331512 | + | 0.442372i | ||||
\(536\) | 4.78054e6 | − | 720550.i | 0.718728 | − | 0.108331i | ||||
\(537\) | 1.71120e6 | − | 1.58777e6i | 0.256074 | − | 0.237602i | ||||
\(538\) | 5.82095e6 | 0.867039 | ||||||||
\(539\) | −744883. | + | 3.32837e6i | −0.110437 | + | 0.493469i | ||||
\(540\) | 1.61334e7 | 2.38090 | ||||||||
\(541\) | 2.65625e6 | − | 2.46464e6i | 0.390190 | − | 0.362043i | −0.460547 | − | 0.887635i | \(-0.652347\pi\) |
0.850737 | + | 0.525592i | \(0.176156\pi\) | |||||||
\(542\) | −2.09832e6 | + | 316271.i | −0.306813 | + | 0.0462446i | ||||
\(543\) | 223344. | − | 2.98031e6i | 0.0325068 | − | 0.433773i | ||||
\(544\) | −8.28518e6 | + | 2.11103e7i | −1.20034 | + | 3.05842i | ||||
\(545\) | 1.36577e6 | − | 1.71262e6i | 0.196964 | − | 0.246985i | ||||
\(546\) | 1.65647e7 | − | 6.54161e6i | 2.37794 | − | 0.939081i | ||||
\(547\) | −733644. | − | 919960.i | −0.104838 | − | 0.131462i | 0.726645 | − | 0.687013i | \(-0.241079\pi\) |
−0.831482 | + | 0.555551i | \(0.812507\pi\) | |||||||
\(548\) | −1.96952e7 | + | 6.07517e6i | −2.80162 | + | 0.864186i | ||||
\(549\) | 397381. | + | 1.01251e6i | 0.0562700 | + | 0.143374i | ||||
\(550\) | 2.95675e6 | + | 912035.i | 0.416780 | + | 0.128560i | ||||
\(551\) | −381474. | − | 5.09042e6i | −0.0535286 | − | 0.714290i | ||||
\(552\) | 2.67797e6 | + | 1.17330e7i | 0.374075 | + | 1.63893i | ||||
\(553\) | −8.57400e6 | − | 1.93789e6i | −1.19226 | − | 0.269474i | ||||
\(554\) | 4.09567e6 | − | 1.79443e7i | 0.566958 | − | 2.48400i | ||||
\(555\) | 793667. | + | 119626.i | 0.109372 | + | 0.0164852i | ||||
\(556\) | 2.75878e7 | − | 1.88090e7i | 3.78469 | − | 2.58036i | ||||
\(557\) | −801217. | + | 1.38775e6i | −0.109424 | + | 0.189528i | −0.915537 | − | 0.402234i | \(-0.868234\pi\) |
0.806113 | + | 0.591761i | \(0.201567\pi\) | |||||||
\(558\) | 1.24850e6 | + | 2.16246e6i | 0.169747 | + | 0.294011i | ||||
\(559\) | −6.75215e6 | − | 3.25166e6i | −0.913929 | − | 0.440125i | ||||
\(560\) | −7.74758e6 | − | 2.49298e7i | −1.04399 | − | 3.35929i | ||||
\(561\) | 1.54346e6 | − | 743292.i | 0.207056 | − | 0.0997132i | ||||
\(562\) | −7.60858e6 | − | 5.18744e6i | −1.01616 | − | 0.692807i | ||||
\(563\) | 802603. | + | 744707.i | 0.106716 | + | 0.0990181i | 0.731727 | − | 0.681598i | \(-0.238715\pi\) |
−0.625010 | + | 0.780616i | \(0.714905\pi\) | |||||||
\(564\) | 9.64951e6 | + | 8.95344e6i | 1.27734 | + | 1.18520i | ||||
\(565\) | 770722. | + | 525469.i | 0.101573 | + | 0.0692510i | ||||
\(566\) | −1.67977e7 | + | 8.08935e6i | −2.20399 | + | 1.06138i | ||||
\(567\) | 426912. | − | 2.87359e6i | 0.0557674 | − | 0.375377i | ||||
\(568\) | 3.58100e7 | + | 1.72452e7i | 4.65729 | + | 2.24283i | ||||
\(569\) | 2.72840e6 | + | 4.72572e6i | 0.353286 | + | 0.611910i | 0.986823 | − | 0.161803i | \(-0.0517309\pi\) |
−0.633537 | + | 0.773712i | \(0.718398\pi\) | |||||||
\(570\) | −2.90350e6 | + | 5.02900e6i | −0.374312 | + | 0.648328i | ||||
\(571\) | −2.20105e6 | + | 1.50065e6i | −0.282513 | + | 0.192614i | −0.696283 | − | 0.717767i | \(-0.745164\pi\) |
0.413770 | + | 0.910381i | \(0.364212\pi\) | |||||||
\(572\) | −1.96563e7 | − | 2.96272e6i | −2.51196 | − | 0.378617i | ||||
\(573\) | −354875. | + | 1.55481e6i | −0.0451532 | + | 0.197829i | ||||
\(574\) | −2.69971e6 | + | 2.16230e6i | −0.342009 | + | 0.273928i | ||||
\(575\) | 446156. | + | 1.95474e6i | 0.0562752 | + | 0.246558i | ||||
\(576\) | −1.57668e6 | − | 2.10393e7i | −0.198010 | − | 2.64226i | ||||
\(577\) | 1.23627e7 | + | 3.81339e6i | 1.54587 | + | 0.476839i | 0.946248 | − | 0.323442i | \(-0.104840\pi\) |
0.599626 | + | 0.800281i | \(0.295316\pi\) | |||||||
\(578\) | −3.70046e6 | − | 9.42861e6i | −0.460718 | − | 1.17389i | ||||
\(579\) | −2.09400e6 | + | 645913.i | −0.259585 | + | 0.0800715i | ||||
\(580\) | 1.19754e7 | + | 1.50166e7i | 1.47815 | + | 1.85354i | ||||
\(581\) | 6.43955e6 | + | 9.40231e6i | 0.791435 | + | 1.15556i | ||||
\(582\) | −1.13694e6 | + | 1.42568e6i | −0.139133 | + | 0.174468i | ||||
\(583\) | −55990.9 | + | 142662.i | −0.00682254 | + | 0.0173835i | ||||
\(584\) | −1.69102e6 | + | 2.25651e7i | −0.205172 | + | 2.73782i | ||||
\(585\) | −4.56053e6 | + | 687390.i | −0.550968 | + | 0.0830450i | ||||
\(586\) | 8.29456e6 | − | 7.69623e6i | 0.997813 | − | 0.925836i | ||||
\(587\) | −2.07367e6 | −0.248396 | −0.124198 | − | 0.992257i | \(-0.539636\pi\) | ||||
−0.124198 | + | 0.992257i | \(0.539636\pi\) | |||||||
\(588\) | −1.83097e7 | + | 2.83899e6i | −2.18392 | + | 0.338626i | ||||
\(589\) | −2.21850e6 | −0.263494 | ||||||||
\(590\) | 4.26990e6 | − | 3.96189e6i | 0.504996 | − | 0.468568i | ||||
\(591\) | −5.50083e6 | + | 829117.i | −0.647828 | + | 0.0976443i | ||||
\(592\) | 582598. | − | 7.77423e6i | 0.0683227 | − | 0.911703i | ||||
\(593\) | 3.52514e6 | − | 8.98191e6i | 0.411661 | − | 1.04889i | −0.563248 | − | 0.826288i | \(-0.690448\pi\) |
0.974908 | − | 0.222607i | \(-0.0714565\pi\) | |||||||
\(594\) | −5.80332e6 | + | 7.27714e6i | −0.674855 | + | 0.846242i | ||||
\(595\) | −3.39756e6 | − | 1.95202e6i | −0.393437 | − | 0.226043i | ||||
\(596\) | −4.15001e6 | − | 5.20395e6i | −0.478557 | − | 0.600091i | ||||
\(597\) | 8.15669e6 | − | 2.51601e6i | 0.936652 | − | 0.288919i | ||||
\(598\) | −6.30931e6 | − | 1.60759e7i | −0.721488 | − | 1.83832i | ||||
\(599\) | 7.38282e6 | + | 2.27730e6i | 0.840727 | + | 0.259330i | 0.685066 | − | 0.728481i | \(-0.259773\pi\) |
0.155661 | + | 0.987811i | \(0.450249\pi\) | |||||||
\(600\) | 828158. | + | 1.10510e7i | 0.0939150 | + | 1.25321i | ||||
\(601\) | −2.78219e6 | − | 1.21896e7i | −0.314196 | − | 1.37658i | −0.847561 | − | 0.530697i | \(-0.821930\pi\) |
0.533365 | − | 0.845885i | \(-0.320927\pi\) | |||||||
\(602\) | 8.18651e6 | + | 6.50025e6i | 0.920678 | + | 0.731036i | ||||
\(603\) | −162911. | + | 713760.i | −0.0182456 | + | 0.0799391i | ||||
\(604\) | −2.22958e7 | − | 3.36056e6i | −2.48675 | − | 0.374817i | ||||
\(605\) | −4.16231e6 | + | 2.83782e6i | −0.462324 | + | 0.315207i | ||||
\(606\) | −3.79884e6 | + | 6.57978e6i | −0.420213 | + | 0.727830i | ||||
\(607\) | −3.78867e6 | − | 6.56217e6i | −0.417364 | − | 0.722895i | 0.578310 | − | 0.815817i | \(-0.303713\pi\) |
−0.995673 | + | 0.0929221i | \(0.970379\pi\) | |||||||
\(608\) | 2.98032e7 | + | 1.43525e7i | 3.26967 | + | 1.57459i | ||||
\(609\) | 6.40495e6 | − | 3.71598e6i | 0.699797 | − | 0.406004i | ||||
\(610\) | 4.39224e6 | − | 2.11519e6i | 0.477927 | − | 0.230158i | ||||
\(611\) | −1.02896e7 | − | 7.01530e6i | −1.11505 | − | 0.760227i | ||||
\(612\) | −5.20996e6 | − | 4.83414e6i | −0.562284 | − | 0.521723i | ||||
\(613\) | 5.88683e6 | + | 5.46218e6i | 0.632747 | + | 0.587103i | 0.929939 | − | 0.367714i | \(-0.119860\pi\) |
−0.297192 | + | 0.954818i | \(0.596050\pi\) | |||||||
\(614\) | 5.56930e6 | + | 3.79708e6i | 0.596183 | + | 0.406471i | ||||
\(615\) | −1.05674e6 | + | 508900.i | −0.112663 | + | 0.0542557i | ||||
\(616\) | 1.70304e7 | + | 6.64243e6i | 1.80831 | + | 0.705302i | ||||
\(617\) | 1.31396e7 | + | 6.32770e6i | 1.38953 | + | 0.669164i | 0.971009 | − | 0.239041i | \(-0.0768330\pi\) |
0.418525 | + | 0.908205i | \(0.362547\pi\) | |||||||
\(618\) | −1.15672e7 | − | 2.00350e7i | −1.21831 | − | 2.11017i | ||||
\(619\) | 36007.2 | − | 62366.3i | 0.00377714 | − | 0.00654219i | −0.864131 | − | 0.503268i | \(-0.832131\pi\) |
0.867908 | + | 0.496725i | \(0.165464\pi\) | |||||||
\(620\) | 6.89691e6 | − | 4.70223e6i | 0.720569 | − | 0.491275i | ||||
\(621\) | −5.96397e6 | − | 898924.i | −0.620592 | − | 0.0935392i | ||||
\(622\) | −6.19112e6 | + | 2.71251e7i | −0.641642 | + | 2.81122i | ||||
\(623\) | 7.52254e6 | − | 1.57056e7i | 0.776505 | − | 1.62119i | ||||
\(624\) | −1.30528e7 | − | 5.71880e7i | −1.34197 | − | 5.87954i | ||||
\(625\) | −274495. | − | 3.66288e6i | −0.0281083 | − | 0.375079i | ||||
\(626\) | −2.30744e6 | − | 711752.i | −0.235340 | − | 0.0725927i | ||||
\(627\) | −912923. | − | 2.32609e6i | −0.0927396 | − | 0.236297i | ||||
\(628\) | −1.85508e7 | + | 5.72216e6i | −1.87699 | + | 0.578976i | ||||
\(629\) | −729579. | − | 914863.i | −0.0735268 | − | 0.0921997i | ||||
\(630\) | 6.41605e6 | + | 467175.i | 0.644046 | + | 0.0468952i | ||||
\(631\) | 6.48363e6 | − | 8.13022e6i | 0.648254 | − | 0.812884i | −0.343754 | − | 0.939060i | \(-0.611699\pi\) |
0.992008 | + | 0.126175i | \(0.0402701\pi\) | |||||||
\(632\) | −1.72120e7 | + | 4.38556e7i | −1.71411 | + | 4.36749i | ||||
\(633\) | −524818. | + | 7.00321e6i | −0.0520594 | + | 0.694685i | ||||
\(634\) | 1.02660e7 | − | 1.54734e6i | 1.01432 | − | 0.152885i | ||||
\(635\) | −8.29494e6 | + | 7.69658e6i | −0.816354 | + | 0.757466i | ||||
\(636\) | −832557. | −0.0816153 | ||||||||
\(637\) | 1.67283e7 | − | 5.23759e6i | 1.63344 | − | 0.511426i | ||||
\(638\) | −1.10810e7 | −1.07778 | ||||||||
\(639\) | −4.41219e6 | + | 4.09392e6i | −0.427467 | + | 0.396631i | ||||
\(640\) | −5.15725e7 | + | 7.77330e6i | −4.97700 | + | 0.750162i | ||||
\(641\) | −1.13634e6 | + | 1.51633e7i | −0.109235 | + | 1.45764i | 0.625998 | + | 0.779824i | \(0.284692\pi\) |
−0.735233 | + | 0.677814i | \(0.762927\pi\) | |||||||
\(642\) | 3.36281e6 | − | 8.56831e6i | 0.322007 | − | 0.820460i | ||||
\(643\) | −1.85831e6 | + | 2.33024e6i | −0.177251 | + | 0.222266i | −0.862518 | − | 0.506026i | \(-0.831114\pi\) |
0.685267 | + | 0.728292i | \(0.259686\pi\) | |||||||
\(644\) | 2.71537e6 | + | 1.77604e7i | 0.257996 | + | 1.68747i | ||||
\(645\) | 2.21007e6 | + | 2.77134e6i | 0.209174 | + | 0.262295i | ||||
\(646\) | 8.08987e6 | − | 2.49539e6i | 0.762711 | − | 0.235265i | ||||
\(647\) | 3.33985e6 | + | 8.50979e6i | 0.313665 | + | 0.799205i | 0.997572 | + | 0.0696365i | \(0.0221840\pi\) |
−0.683907 | + | 0.729569i | \(0.739721\pi\) | |||||||
\(648\) | −1.48786e7 | − | 4.58943e6i | −1.39195 | − | 0.429360i | ||||
\(649\) | 187311. | + | 2.49949e6i | 0.0174563 | + | 0.232938i | ||||
\(650\) | −3.53864e6 | − | 1.55038e7i | −0.328514 | − | 1.43931i | ||||
\(651\) | −1.40243e6 | − | 2.89649e6i | −0.129697 | − | 0.267868i | ||||
\(652\) | 1.17266e7 | − | 5.13777e7i | 1.08032 | − | 4.73321i | ||||
\(653\) | 7.59883e6 | + | 1.14534e6i | 0.697371 | + | 0.105112i | 0.488154 | − | 0.872758i | \(-0.337670\pi\) |
0.209217 | + | 0.977869i | \(0.432909\pi\) | |||||||
\(654\) | −5.67245e6 | + | 3.86741e6i | −0.518592 | + | 0.353570i | ||||
\(655\) | 5.02275e6 | − | 8.69966e6i | 0.457444 | − | 0.792317i | ||||
\(656\) | 5.69622e6 | + | 9.86614e6i | 0.516805 | + | 0.895133i | ||||
\(657\) | −3.08737e6 | − | 1.48680e6i | −0.279046 | − | 0.134381i | ||||
\(658\) | 1.18419e7 | + | 1.27085e7i | 1.06624 | + | 1.14427i | ||||
\(659\) | −6.17734e6 | + | 2.97485e6i | −0.554100 | + | 0.266840i | −0.689911 | − | 0.723894i | \(-0.742350\pi\) |
0.135811 | + | 0.990735i | \(0.456636\pi\) | |||||||
\(660\) | 7.76838e6 | + | 5.29639e6i | 0.694178 | + | 0.473283i | ||||
\(661\) | −3.57672e6 | − | 3.31871e6i | −0.318406 | − | 0.295437i | 0.504735 | − | 0.863274i | \(-0.331590\pi\) |
−0.823141 | + | 0.567837i | \(0.807781\pi\) | |||||||
\(662\) | −1.58403e7 | − | 1.46976e7i | −1.40481 | − | 1.30347i | ||||
\(663\) | −7.27457e6 | − | 4.95972e6i | −0.642723 | − | 0.438201i | ||||
\(664\) | 5.50298e7 | − | 2.65009e7i | 4.84370 | − | 2.33260i | ||||
\(665\) | −3.20969e6 | + | 4.72920e6i | −0.281455 | + | 0.414700i | ||||
\(666\) | 1.73086e6 | + | 833536.i | 0.151208 | + | 0.0728180i | ||||
\(667\) | −3.59018e6 | − | 6.21838e6i | −0.312465 | − | 0.541206i | ||||
\(668\) | 1.32637e7 | − | 2.29734e7i | 1.15007 | − | 1.99198i | ||||
\(669\) | −725197. | + | 494431.i | −0.0626456 | + | 0.0427111i | ||||
\(670\) | 3.24466e6 | + | 489054.i | 0.279243 | + | 0.0420891i | ||||
\(671\) | −466801. | + | 2.04519e6i | −0.0400245 | + | 0.175359i | ||||
\(672\) | 101471. | + | 4.79843e7i | 0.00866799 | + | 4.09898i | ||||
\(673\) | −121448. | − | 532099.i | −0.0103360 | − | 0.0452850i | 0.969497 | − | 0.245103i | \(-0.0788219\pi\) |
−0.979833 | + | 0.199818i | \(0.935965\pi\) | |||||||
\(674\) | 1.61161e6 | + | 2.15055e7i | 0.136651 | + | 1.82347i | ||||
\(675\) | −5.30713e6 | − | 1.63703e6i | −0.448332 | − | 0.138292i | ||||
\(676\) | 2.45845e7 | + | 6.26402e7i | 2.06916 | + | 5.27213i | ||||
\(677\) | 1.46985e7 | − | 4.53388e6i | 1.23254 | − | 0.380188i | 0.391003 | − | 0.920389i | \(-0.372128\pi\) |
0.841536 | + | 0.540202i | \(0.181652\pi\) | |||||||
\(678\) | −1.82280e6 | − | 2.28571e6i | −0.152287 | − | 0.190962i | ||||
\(679\) | −1.21799e6 | + | 1.31826e6i | −0.101384 | + | 0.109730i | ||||
\(680\) | −1.30939e7 | + | 1.64192e7i | −1.08592 | + | 1.36170i | ||||
\(681\) | −489371. | + | 1.24690e6i | −0.0404362 | + | 0.103030i | ||||
\(682\) | −359887. | + | 4.80235e6i | −0.0296282 | + | 0.395360i | ||||
\(683\) | −1.17154e7 | + | 1.76581e6i | −0.960961 | + | 0.144842i | −0.610745 | − | 0.791827i | \(-0.709130\pi\) |
−0.350216 | + | 0.936669i | \(0.613892\pi\) | |||||||
\(684\) | −7.59948e6 | + | 7.05129e6i | −0.621074 | + | 0.576273i | ||||
\(685\) | −9.22279e6 | −0.750993 | ||||||||
\(686\) | −2.43697e7 | + | 1.98181e6i | −1.97715 | + | 0.160787i | ||||
\(687\) | −6.93149e6 | −0.560318 | ||||||||
\(688\) | 2.52388e7 | − | 2.34182e7i | 2.03281 | − | 1.88618i | ||||
\(689\) | 778855. | − | 117394.i | 0.0625041 | − | 0.00942098i | ||||
\(690\) | −610413. | + | 8.14539e6i | −0.0488091 | + | 0.651312i | ||||
\(691\) | −3.57071e6 | + | 9.09802e6i | −0.284485 | + | 0.724856i | 0.715179 | + | 0.698941i | \(0.246345\pi\) |
−0.999664 | + | 0.0259150i | \(0.991750\pi\) | |||||||
\(692\) | −5.60680e6 | + | 7.03070e6i | −0.445092 | + | 0.558127i | ||||
\(693\) | −1.87857e6 | + | 2.03323e6i | −0.148592 | + | 0.160825i | ||||
\(694\) | −6.47728e6 | − | 8.12225e6i | −0.510498 | − | 0.640144i | ||||
\(695\) | 1.42771e7 | − | 4.40391e6i | 1.12119 | − | 0.345841i | ||||
\(696\) | −1.44993e7 | − | 3.69436e7i | −1.13455 | − | 2.89078i | ||||
\(697\) | 1.63399e6 | + | 504020.i | 0.127400 | + | 0.0392976i | ||||
\(698\) | 1.60056e6 | + | 2.13579e7i | 0.124346 | + | 1.65928i | ||||
\(699\) | 2.44881e6 | + | 1.07289e7i | 0.189567 | + | 0.830547i | ||||
\(700\) | 34985.9 | + | 1.65444e7i | 0.00269866 | + | 1.27616i | ||||
\(701\) | −4.65306e6 | + | 2.03864e7i | −0.357638 | + | 1.56692i | 0.401420 | + | 0.915894i | \(0.368517\pi\) |
−0.759059 | + | 0.651022i | \(0.774341\pi\) | |||||||
\(702\) | 4.73026e7 | + | 7.12972e6i | 3.62278 | + | 0.546047i | ||||
\(703\) | −1.41026e6 | + | 961496.i | −0.107624 | + | 0.0733769i | ||||
\(704\) | 2.03456e7 | − | 3.52396e7i | 1.54717 | − | 2.67978i | ||||
\(705\) | 2.94514e6 | + | 5.10113e6i | 0.223169 | + | 0.386539i | ||||
\(706\) | −9.92128e6 | − | 4.77784e6i | −0.749128 | − | 0.360761i | ||||
\(707\) | −4.19945e6 | + | 6.18753e6i | −0.315968 | + | 0.465553i | ||||
\(708\) | −1.22680e7 | + | 5.90794e6i | −0.919792 | + | 0.442948i | ||||
\(709\) | −3.30874e6 | − | 2.25586e6i | −0.247199 | − | 0.168538i | 0.433382 | − | 0.901210i | \(-0.357320\pi\) |
−0.680581 | + | 0.732673i | \(0.738273\pi\) | |||||||
\(710\) | 1.97753e7 | + | 1.83488e7i | 1.47223 | + | 1.36603i | ||||
\(711\) | −5.22991e6 | − | 4.85264e6i | −0.387989 | − | 0.360002i | ||||
\(712\) | −7.71153e7 | − | 5.25763e7i | −5.70086 | − | 3.88678i | ||||
\(713\) | −2.81155e6 | + | 1.35397e6i | −0.207120 | + | 0.0997438i | ||||
\(714\) | 8.37204e6 | + | 8.98474e6i | 0.614591 | + | 0.659568i | ||||
\(715\) | −8.01411e6 | − | 3.85939e6i | −0.586260 | − | 0.282328i | ||||
\(716\) | −9.33905e6 | − | 1.61757e7i | −0.680801 | − | 1.17918i | ||||
\(717\) | 2.38266e6 | − | 4.12688e6i | 0.173087 | − | 0.299795i | ||||
\(718\) | −1.40337e7 | + | 9.56804e6i | −1.01593 | + | 0.692647i | ||||
\(719\) | 1.35730e6 | + | 204579.i | 0.0979157 | + | 0.0147584i | 0.197817 | − | 0.980239i | \(-0.436615\pi\) |
−0.0999016 | + | 0.994997i | \(0.531853\pi\) | |||||||
\(720\) | 4.71483e6 | − | 2.06570e7i | 0.338950 | − | 1.48503i | ||||
\(721\) | −9.92294e6 | − | 2.04942e7i | −0.710890 | − | 1.46823i | ||||
\(722\) | 3.43493e6 | + | 1.50494e7i | 0.245231 | + | 1.07443i | ||||
\(723\) | 1.33881e6 | + | 1.78652e7i | 0.0952518 | + | 1.27105i | ||||
\(724\) | −2.28511e7 | − | 7.04864e6i | −1.62017 | − | 0.499757i | ||||
\(725\) | −2.41561e6 | − | 6.15488e6i | −0.170680 | − | 0.434885i | ||||
\(726\) | 1.50872e7 | − | 4.65379e6i | 1.06235 | − | 0.327692i | ||||
\(727\) | 7.45400e6 | + | 9.34702e6i | 0.523062 | + | 0.655899i | 0.971256 | − | 0.238037i | \(-0.0765040\pi\) |
−0.448194 | + | 0.893936i | \(0.647933\pi\) | |||||||
\(728\) | −1.41988e7 | − | 9.28697e7i | −0.992938 | − | 6.49450i | ||||
\(729\) | 8.73910e6 | − | 1.09585e7i | 0.609043 | − | 0.763716i | ||||
\(730\) | −5.61106e6 | + | 1.42968e7i | −0.389707 | + | 0.992957i | ||||
\(731\) | 386188. | − | 5.15332e6i | 0.0267304 | − | 0.356693i | ||||
\(732\) | −1.12688e7 | + | 1.69850e6i | −0.777321 | + | 0.117162i | ||||
\(733\) | 8.25636e6 | − | 7.66079e6i | 0.567582 | − | 0.526639i | −0.343343 | − | 0.939210i | \(-0.611559\pi\) |
0.910926 | + | 0.412571i | \(0.135369\pi\) | |||||||
\(734\) | 2.51978e7 | 1.72632 | ||||||||
\(735\) | −8.20350e6 | − | 1.20102e6i | −0.560120 | − | 0.0820032i | ||||
\(736\) | 4.65297e7 | 3.16618 | ||||||||
\(737\) | −1.03506e6 | + | 960397.i | −0.0701936 | + | 0.0651302i | ||||
\(738\) | −2.77598e6 | + | 418412.i | −0.187618 | + | 0.0282789i | ||||
\(739\) | −404649. | + | 5.39966e6i | −0.0272563 | + | 0.363710i | 0.966853 | + | 0.255332i | \(0.0821848\pi\) |
−0.994110 | + | 0.108378i | \(0.965434\pi\) | |||||||
\(740\) | 2.34628e6 | − | 5.97823e6i | 0.157507 | − | 0.401322i | ||||
\(741\) | −8.00720e6 | + | 1.00407e7i | −0.535717 | + | 0.671767i | ||||
\(742\) | −1.09574e6 | − | 79784.9i | −0.0730633 | − | 0.00531999i | ||||
\(743\) | −9.32589e6 | − | 1.16943e7i | −0.619753 | − | 0.777145i | 0.368557 | − | 0.929605i | \(-0.379852\pi\) |
−0.988310 | + | 0.152460i | \(0.951280\pi\) | |||||||
\(744\) | −1.64817e7 | + | 5.08393e6i | −1.09161 | + | 0.336718i | ||||
\(745\) | −1.08814e6 | − | 2.77253e6i | −0.0718278 | − | 0.183014i | ||||
\(746\) | −4.66612e7 | − | 1.43931e7i | −3.06979 | − | 0.946905i | ||||
\(747\) | 691208. | + | 9.22353e6i | 0.0453218 | + | 0.604777i | ||||
\(748\) | −3.05016e6 | − | 1.33636e7i | −0.199328 | − | 0.873314i | ||||
\(749\) | 3.91356e6 | − | 8.17074e6i | 0.254898 | − | 0.532178i | ||||
\(750\) | −5.52302e6 | + | 2.41979e7i | −0.358528 | + | 1.57081i | ||||
\(751\) | −2.16814e7 | − | 3.26795e6i | −1.40278 | − | 0.211434i | −0.596328 | − | 0.802741i | \(-0.703374\pi\) |
−0.806447 | + | 0.591306i | \(0.798612\pi\) | |||||||
\(752\) | 4.72714e7 | − | 3.22291e7i | 3.04827 | − | 2.07828i | ||||
\(753\) | 4.23528e6 | − | 7.33572e6i | 0.272204 | − | 0.471472i | ||||
\(754\) | 2.84752e7 | + | 4.93204e7i | 1.82405 | + | 3.15936i | ||||
\(755\) | −9.09027e6 | − | 4.37764e6i | −0.580376 | − | 0.279494i | ||||
\(756\) | −4.63659e7 | − | 1.80842e7i | −2.95049 | − | 1.15079i | ||||
\(757\) | 7.00919e6 | − | 3.37545e6i | 0.444558 | − | 0.214088i | −0.198193 | − | 0.980163i | \(-0.563507\pi\) |
0.642751 | + | 0.766075i | \(0.277793\pi\) | |||||||
\(758\) | 334291. | + | 227916.i | 0.0211326 | + | 0.0144079i | ||||
\(759\) | −2.57660e6 | − | 2.39074e6i | −0.162346 | − | 0.150635i | ||||
\(760\) | 2.24556e7 | + | 2.08357e7i | 1.41023 | + | 1.30850i | ||||
\(761\) | 3.73048e6 | + | 2.54340e6i | 0.233509 | + | 0.159204i | 0.674422 | − | 0.738346i | \(-0.264393\pi\) |
−0.440913 | + | 0.897550i | \(0.645345\pi\) | |||||||
\(762\) | 3.19525e7 | − | 1.53875e7i | 1.99350 | − | 0.960021i | ||||
\(763\) | −5.84481e6 | + | 3.39100e6i | −0.363462 | + | 0.210871i | ||||
\(764\) | 1.14969e7 | + | 5.53660e6i | 0.712601 | + | 0.343171i | ||||
\(765\) | −1.59014e6 | − | 2.75420e6i | −0.0982384 | − | 0.170154i | ||||
\(766\) | −2.72339e7 | + | 4.71705e7i | −1.67702 | + | 2.90468i | ||||
\(767\) | 1.06436e7 | − | 7.25669e6i | 0.653282 | − | 0.445400i | ||||
\(768\) | 8.71596e7 | + | 1.31372e7i | 5.33227 | + | 0.803711i | ||||
\(769\) | 5.39077e6 | − | 2.36185e7i | 0.328727 | − | 1.44025i | −0.492833 | − | 0.870124i | \(-0.664039\pi\) |
0.821560 | − | 0.570123i | \(-0.193104\pi\) | |||||||
\(770\) | 9.71655e6 | + | 7.71513e6i | 0.590589 | + | 0.468939i | ||||
\(771\) | 4.93151e6 | + | 2.16064e7i | 0.298775 | + | 1.30902i | ||||
\(772\) | 1.31031e6 | + | 1.74849e7i | 0.0791280 | + | 1.05589i | ||||
\(773\) | −1.41419e7 | − | 4.36220e6i | −0.851253 | − | 0.262577i | −0.161725 | − | 0.986836i | \(-0.551706\pi\) |
−0.689528 | + | 0.724259i | \(0.742182\pi\) | |||||||
\(774\) | 3.09963e6 | + | 7.89773e6i | 0.185976 | + | 0.473860i | ||||
\(775\) | −2.74589e6 | + | 846994.i | −0.164221 | + | 0.0506554i | ||||
\(776\) | 5.99759e6 | + | 7.52074e6i | 0.357538 | + | 0.448339i | ||||
\(777\) | −2.14684e6 | − | 1.23343e6i | −0.127569 | − | 0.0732929i | ||||
\(778\) | −3.13603e7 | + | 3.93246e7i | −1.85751 | + | 2.32925i | ||||
\(779\) | 911242. | − | 2.32181e6i | 0.0538010 | − | 0.137083i | ||||
\(780\) | 3.61107e6 | − | 4.81864e7i | 0.212520 | − | 2.83588i | ||||
\(781\) | −1.14787e7 | + | 1.73014e6i | −0.673389 | + | 0.101497i | ||||
\(782\) | 8.72950e6 | − | 8.09979e6i | 0.510472 | − | 0.473649i | ||||
\(783\) | 1.98896e7 | 1.15937 | ||||||||
\(784\) | −5.67837e6 | + | 8.03302e7i | −0.329939 | + | 4.66755i | ||||
\(785\) | −8.68687e6 | −0.503140 | ||||||||
\(786\) | −2.30793e7 | + | 2.14145e7i | −1.33250 | + | 1.23638i | ||||
\(787\) | 3.20066e7 | − | 4.82422e6i | 1.84206 | − | 0.277646i | 0.866790 | − | 0.498673i | \(-0.166179\pi\) |
0.975268 | + | 0.221027i | \(0.0709410\pi\) | |||||||
\(788\) | −3.32635e6 | + | 4.43870e7i | −0.190832 | + | 2.54648i | ||||
\(789\) | −2.90184e6 | + | 7.39377e6i | −0.165952 | + | 0.422838i | ||||
\(790\) | −1.99368e7 | + | 2.50000e7i | −1.13655 | + | 1.42519i | ||||
\(791\) | −1.62598e6 | − | 2.37407e6i | −0.0924002 | − | 0.134912i | ||||
\(792\) | 9.25042e6 | + | 1.15997e7i | 0.524021 | + | 0.657102i | ||||
\(793\) | 1.03025e7 | − | 3.17789e6i | 0.581778 | − | 0.179455i | ||||
\(794\) | 1.86468e7 | + | 4.75112e7i | 1.04967 | + | 2.67451i | ||||
\(795\) | −355994. | − | 109810.i | −0.0199768 | − | 0.00616202i | ||||
\(796\) | −5.10401e6 | − | 6.81082e7i | −0.285515 | − | 3.80993i | ||||
\(797\) | 3.80838e6 | + | 1.66856e7i | 0.212371 | + | 0.930457i | 0.962951 | + | 0.269677i | \(0.0869171\pi\) |
−0.750580 | + | 0.660780i | \(0.770226\pi\) | |||||||
\(798\) | 1.39815e7 | − | 1.11983e7i | 0.777223 | − | 0.622508i | ||||
\(799\) | 1.91088e6 | − | 8.37211e6i | 0.105893 | − | 0.463946i | ||||
\(800\) | 4.23676e7 | + | 6.38590e6i | 2.34050 | + | 0.352774i | ||||
\(801\) | 1.16779e7 | − | 7.96188e6i | 0.643109 | − | 0.438464i | ||||
\(802\) | 3.22605e7 | − | 5.58769e7i | 1.77107 | − | 3.06758i | ||||
\(803\) | −3.30446e6 | − | 5.72350e6i | −0.180847 | − | 0.313237i | ||||
\(804\) | −6.91093e6 | − | 3.32813e6i | −0.377048 | − | 0.181577i | ||||
\(805\) | −1.18143e6 | + | 7.95232e6i | −0.0642565 | + | 0.432518i | ||||
\(806\) | 2.22995e7 | − | 1.07389e7i | 1.20909 | − | 0.582266i | ||||
\(807\) | −5.03089e6 | − | 3.43000e6i | −0.271932 | − | 0.185400i | ||||
\(808\) | 2.93801e7 | + | 2.72607e7i | 1.58316 | + | 1.46896i | ||||
\(809\) | −9.71657e6 | − | 9.01566e6i | −0.521966 | − | 0.484313i | 0.374623 | − | 0.927177i | \(-0.377772\pi\) |
−0.896589 | + | 0.442864i | \(0.853963\pi\) | |||||||
\(810\) | −8.73164e6 | − | 5.95313e6i | −0.467609 | − | 0.318811i | ||||
\(811\) | 2.49898e7 | − | 1.20345e7i | 1.33417 | − | 0.642502i | 0.375447 | − | 0.926844i | \(-0.377489\pi\) |
0.958723 | + | 0.284342i | \(0.0917750\pi\) | |||||||
\(812\) | −1.75837e7 | − | 5.65798e7i | −0.935879 | − | 3.01142i | ||||
\(813\) | 1.99988e6 | + | 963092.i | 0.106115 | + | 0.0511024i | ||||
\(814\) | 1.85256e6 | + | 3.20873e6i | 0.0979969 | + | 0.169736i | ||||
\(815\) | 1.17906e7 | − | 2.04220e7i | 0.621789 | − | 1.07697i | ||||
\(816\) | 3.34202e7 | − | 2.27855e7i | 1.75705 | − | 1.19794i | ||||
\(817\) | −7.45375e6 | − | 1.12347e6i | −0.390679 | − | 0.0588853i | ||||
\(818\) | 1.14100e7 | − | 4.99906e7i | 0.596216 | − | 2.61219i | ||||
\(819\) | 1.38771e7 | + | 3.13649e6i | 0.722916 | + | 0.163393i | ||||
\(820\) | 2.08831e6 | + | 9.14950e6i | 0.108458 | + | 0.475185i | ||||
\(821\) | 761139. | + | 1.01567e7i | 0.0394100 | + | 0.525889i | 0.981617 | + | 0.190859i | \(0.0611274\pi\) |
−0.942207 | + | 0.335030i | \(0.891254\pi\) | |||||||
\(822\) | 2.76212e7 | + | 8.52001e6i | 1.42581 | + | 0.439806i | ||||
\(823\) | −1.00801e7 | − | 2.56838e7i | −0.518761 | − | 1.32178i | −0.914934 | − | 0.403605i | \(-0.867757\pi\) |
0.396173 | − | 0.918176i | \(-0.370338\pi\) | |||||||
\(824\) | −1.16617e8 | + | 3.59715e7i | −5.98332 | + | 1.84561i | ||||
\(825\) | −2.01801e6 | − | 2.53051e6i | −0.103226 | − | 0.129441i | ||||
\(826\) | −1.67123e7 | + | 6.59990e6i | −0.852286 | + | 0.336579i | ||||
\(827\) | −1.71959e6 | + | 2.15630e6i | −0.0874301 | + | 0.109634i | −0.823622 | − | 0.567138i | \(-0.808050\pi\) |
0.736192 | + | 0.676772i | \(0.236622\pi\) | |||||||
\(828\) | −5.32751e6 | + | 1.35743e7i | −0.270053 | + | 0.688083i | ||||
\(829\) | 1.66749e6 | − | 2.22511e7i | 0.0842708 | − | 1.12452i | −0.781443 | − | 0.623976i | \(-0.785516\pi\) |
0.865714 | − | 0.500539i | \(-0.166865\pi\) | |||||||
\(830\) | 4.09923e7 | − | 6.17860e6i | 2.06542 | − | 0.311311i | ||||
\(831\) | −1.41135e7 | + | 1.30954e7i | −0.708975 | + | 0.657833i | ||||
\(832\) | −2.09130e8 | −10.4739 | ||||||||
\(833\) | 7.57624e6 | + | 9.41831e6i | 0.378304 | + | 0.470284i | ||||
\(834\) | −4.68266e7 | −2.33119 | ||||||||
\(835\) | 8.70151e6 | − | 8.07382e6i | 0.431895 | − | 0.400740i | ||||
\(836\) | −1.97707e7 | + | 2.97996e6i | −0.978379 | + | 0.147467i | ||||
\(837\) | 645969. | − | 8.61985e6i | 0.0318712 | − | 0.425291i | ||||
\(838\) | 1.38837e7 | − | 3.53752e7i | 0.682962 | − | 1.74016i | ||||
\(839\) | −1.06590e6 | + | 1.33660e6i | −0.0522772 | + | 0.0655535i | −0.807283 | − | 0.590165i | \(-0.799063\pi\) |
0.755006 | + | 0.655718i | \(0.227634\pi\) | |||||||
\(840\) | −1.30079e7 | + | 4.24895e7i | −0.636078 | + | 2.07770i | ||||
\(841\) | 1.97499e6 | + | 2.47655e6i | 0.0962884 | + | 0.120742i | ||||
\(842\) | 4.97092e7 | − | 1.53333e7i | 2.41633 | − | 0.745339i | ||||
\(843\) | 3.51918e6 | + | 8.96672e6i | 0.170558 | + | 0.434575i | ||||
\(844\) | 5.36961e7 | + | 1.65630e7i | 2.59469 | + | 0.800357i | ||||
\(845\) | 2.25021e6 | + | 3.00270e7i | 0.108413 | + | 1.44667i | ||||
\(846\) | 3.13719e6 | + | 1.37449e7i | 0.150701 | + | 0.660263i | ||||
\(847\) | 1.51431e7 | − | 3.49001e6i | 0.725279 | − | 0.167155i | ||||
\(848\) | −805207. | + | 3.52784e6i | −0.0384519 | + | 0.168469i | ||||
\(849\) | 1.92844e7 | + | 2.90666e6i | 0.918201 | + | 0.138397i | ||||
\(850\) | 9.06030e6 | − | 6.17721e6i | 0.430126 | − | 0.293255i | ||||
\(851\) | −1.20044e6 | + | 2.07922e6i | −0.0568218 | + | 0.0984183i | ||||
\(852\) | −3.15309e7 | − | 5.46132e7i | −1.48812 | − | 2.57750i | ||||
\(853\) | 27858.4 | + | 13415.9i | 0.00131094 | + | 0.000631316i | 0.434539 | − | 0.900653i | \(-0.356911\pi\) |
−0.433228 | + | 0.901284i | \(0.642626\pi\) | |||||||
\(854\) | −1.49939e7 | + | 1.15552e6i | −0.703508 | + | 0.0542169i | ||||
\(855\) | −4.17950e6 | + | 2.01274e6i | −0.195528 | + | 0.0941613i | ||||
\(856\) | −4.01188e7 | − | 2.73525e7i | −1.87139 | − | 1.27589i | ||||
\(857\) | −2.06249e7 | − | 1.91371e7i | −0.959266 | − | 0.890069i | 0.0347399 | − | 0.999396i | \(-0.488940\pi\) |
−0.994006 | + | 0.109328i | \(0.965130\pi\) | |||||||
\(858\) | 2.04360e7 | + | 1.89619e7i | 0.947717 | + | 0.879353i | ||||
\(859\) | 1.35383e7 | + | 9.23023e6i | 0.626008 | + | 0.426805i | 0.834338 | − | 0.551254i | \(-0.185850\pi\) |
−0.208330 | + | 0.978059i | \(0.566803\pi\) | |||||||
\(860\) | 2.55536e7 | − | 1.23060e7i | 1.17816 | − | 0.567374i | ||||
\(861\) | 3.60742e6 | − | 278011.i | 0.165840 | − | 0.0127807i | ||||
\(862\) | −2.17269e7 | − | 1.04631e7i | −0.995931 | − | 0.479615i | ||||
\(863\) | −5.97128e6 | − | 1.03426e7i | −0.272923 | − | 0.472717i | 0.696686 | − | 0.717376i | \(-0.254657\pi\) |
−0.969609 | + | 0.244659i | \(0.921324\pi\) | |||||||
\(864\) | −6.44436e7 | + | 1.11620e8i | −2.93694 | + | 5.08693i | ||||
\(865\) | −3.32473e6 | + | 2.26676e6i | −0.151083 | + | 0.103007i | ||||
\(866\) | 1.74713e7 | + | 2.63337e6i | 0.791644 | + | 0.119321i | ||||
\(867\) | −2.35761e6 | + | 1.03294e7i | −0.106518 | + | 0.466688i | ||||
\(868\) | −2.50919e7 | + | 5.78291e6i | −1.13041 | + | 0.260524i | ||||
\(869\) | −3.06184e6 | − | 1.34148e7i | −0.137541 | − | 0.602607i | ||||
\(870\) | −2.01297e6 | − | 2.68612e7i | −0.0901650 | − | 1.20317i | ||||
\(871\) | 6.93444e6 | + | 2.13899e6i | 0.309718 | + | 0.0955352i | ||||
\(872\) | 1.32313e7 | + | 3.37127e7i | 0.589264 | + | 1.50142i | ||||
\(873\) | −1.39199e6 | + | 429372.i | −0.0618160 | + | 0.0190677i | ||||
\(874\) | −1.08301e7 | − | 1.35805e7i | −0.479573 | − | 0.601365i | ||||
\(875\) | −7.15129e6 | + | 2.33592e7i | −0.315765 | + | 1.03143i | ||||
\(876\) | 2.23849e7 | − | 2.80698e7i | 0.985588 | − | 1.23589i | ||||
\(877\) | −1.54966e7 | + | 3.94847e7i | −0.680358 | + | 1.73352i | −0.000695876 | 1.00000i | \(0.500222\pi\) | |
−0.679662 | + | 0.733525i | \(0.737874\pi\) | |||||||
\(878\) | 1.70548e6 | − | 2.27580e7i | 0.0746638 | − | 0.996319i | ||||
\(879\) | −1.17038e7 | + | 1.76406e6i | −0.510920 | + | 0.0770089i | ||||
\(880\) | 2.99559e7 | − | 2.77950e7i | 1.30399 | − | 1.20993i | ||||
\(881\) | 1.07627e7 | 0.467177 | 0.233588 | − | 0.972336i | \(-0.424953\pi\) | ||||
0.233588 | + | 0.972336i | \(0.424953\pi\) | |||||||
\(882\) | −1.79155e7 | − | 8.53449e6i | −0.775456 | − | 0.369408i | ||||
\(883\) | 86612.0 | 0.00373832 | 0.00186916 | − | 0.999998i | \(-0.499405\pi\) | ||||
0.00186916 | + | 0.999998i | \(0.499405\pi\) | |||||||
\(884\) | −5.16419e7 | + | 4.79167e7i | −2.22265 | + | 2.06232i | ||||
\(885\) | −6.02490e6 | + | 908108.i | −0.258578 | + | 0.0389744i | ||||
\(886\) | 4.88146e6 | − | 6.51385e7i | 0.208913 | − | 2.78775i | ||||
\(887\) | −1.48497e6 | + | 3.78365e6i | −0.0633738 | + | 0.161474i | −0.959053 | − | 0.283227i | \(-0.908595\pi\) |
0.895679 | + | 0.444701i | \(0.146690\pi\) | |||||||
\(888\) | −8.27371e6 | + | 1.03749e7i | −0.352101 | + | 0.441521i | ||||
\(889\) | 3.24661e7 | − | 1.28213e7i | 1.37777 | − | 0.544099i | ||||
\(890\) | −3.94964e7 | − | 4.95269e7i | −1.67141 | − | 2.09588i | ||||
\(891\) | 4.34548e6 | − | 1.34040e6i | 0.183377 | − | 0.0565642i | ||||
\(892\) | 2.56575e6 | + | 6.53742e6i | 0.107970 | + | 0.275102i | ||||
\(893\) | −1.19695e7 | − | 3.69210e6i | −0.502281 | − | 0.154933i | ||||
\(894\) | 697585. | + | 9.30862e6i | 0.0291913 | + | 0.389531i | ||||
\(895\) | −1.85981e6 | − | 8.14836e6i | −0.0776088 | − | 0.340027i | ||||
\(896\) | 1.56928e8 | + | 3.54688e7i | 6.53025 | + | 1.47596i | ||||
\(897\) | −4.01975e6 | + | 1.76117e7i | −0.166808 | + | 0.730835i | ||||
\(898\) | −5.89246e7 | − | 8.88146e6i | −2.43841 | − | 0.367530i | ||||
\(899\) | 8.50266e6 | − | 5.79701e6i | 0.350877 | − | 0.239224i | ||||
\(900\) | −6.71395e6 | + | 1.16289e7i | −0.276294 | + | 0.478556i | ||||
\(901\) | 271566. | + | 470367.i | 0.0111446 | + | 0.0193030i | ||||
\(902\) | −4.87816e6 | − | 2.34920e6i | −0.199636 | − | 0.0961398i | ||||
\(903\) | −3.24509e6 | − | 1.04419e7i | −0.132437 | − | 0.426147i | ||||
\(904\) | −1.38949e7 | + | 6.69144e6i | −0.565503 | + | 0.272332i | ||||
\(905\) | −8.84126e6 | − | 6.02787e6i | −0.358833 | − | 0.244649i | ||||
\(906\) | 2.31803e7 | + | 2.15081e7i | 0.938205 | + | 0.870527i | ||||
\(907\) | −429047. | − | 398098.i | −0.0173176 | − | 0.0160684i | 0.671467 | − | 0.741035i | \(-0.265665\pi\) |
−0.688784 | + | 0.724967i | \(0.741855\pi\) | |||||||
\(908\) | 8.85544e6 | + | 6.03754e6i | 0.356448 | + | 0.243022i | ||||
\(909\) | −5.46831e6 | + | 2.63340e6i | −0.219505 | + | 0.105708i | ||||
\(910\) | 9.37036e6 | − | 6.30730e7i | 0.375105 | − | 2.52488i | ||||
\(911\) | −2.36128e7 | − | 1.13713e7i | −0.942653 | − | 0.453958i | −0.101549 | − | 0.994831i | \(-0.532380\pi\) |
−0.841104 | + | 0.540873i | \(0.818094\pi\) | |||||||
\(912\) | −2.95001e7 | − | 5.10956e7i | −1.17445 | − | 2.03421i | ||||
\(913\) | −8.91939e6 | + | 1.54488e7i | −0.354126 | + | 0.613365i | ||||
\(914\) | 1.21574e7 | − | 8.28876e6i | 0.481365 | − | 0.328189i | ||||
\(915\) | −5.04247e6 | − | 760030.i | −0.199109 | − | 0.0300108i | ||||
\(916\) | −1.23414e7 | + | 5.40710e7i | −0.485987 | + | 2.12925i | ||||
\(917\) | −2.41865e7 | + | 1.93719e7i | −0.949839 | + | 0.760763i | ||||
\(918\) | 7.34015e6 | + | 3.21593e7i | 0.287474 | + | 1.25951i | ||||
\(919\) | 2.92408e6 | + | 3.90192e7i | 0.114209 | + | 1.52402i | 0.700346 | + | 0.713804i | \(0.253029\pi\) |
−0.586137 | + | 0.810212i | \(0.699352\pi\) | |||||||
\(920\) | 4.11746e7 | + | 1.27007e7i | 1.60384 | + | 0.494718i | ||||
\(921\) | −2.57595e6 | − | 6.56342e6i | −0.100067 | − | 0.254965i | ||||
\(922\) | 5.13897e7 | − | 1.58516e7i | 1.99090 | − | 0.614111i | ||||
\(923\) | 3.71978e7 | + | 4.66445e7i | 1.43718 | + | 1.80217i | ||||
\(924\) | −1.63888e7 | − | 2.39291e7i | −0.631491 | − | 0.922032i | ||||
\(925\) | −1.37842e6 | + | 1.72848e6i | −0.0529696 | + | 0.0664218i | ||||
\(926\) | −1.90250e6 | + | 4.84749e6i | −0.0729117 | + | 0.185776i | ||||
\(927\) | 1.38108e6 | − | 1.84292e7i | 0.0527859 | − | 0.704379i | ||||
\(928\) | −1.51728e8 | + | 2.28693e7i | −5.78355 | + | 0.871731i | ||||
\(929\) | 1.32583e7 | − | 1.23019e7i | 0.504019 | − | 0.467662i | −0.386706 | − | 0.922203i | \(-0.626387\pi\) |
0.890726 | + | 0.454541i | \(0.150197\pi\) | |||||||
\(930\) | −1.17066e7 | −0.443837 | ||||||||
\(931\) | 1.45254e7 | − | 9.99349e6i | 0.549229 | − | 0.377871i | ||||
\(932\) | 8.80542e7 | 3.32055 | ||||||||
\(933\) | 2.13343e7 | − | 1.97953e7i | 0.802368 | − | 0.744488i | ||||
\(934\) | −5.82964e7 | + | 8.78676e6i | −2.18662 | + | 0.329581i | ||||
\(935\) | 458366. | − | 6.11647e6i | 0.0171468 | − | 0.228808i | ||||
\(936\) | 2.78578e7 | − | 7.09805e7i | 1.03934 | − | 2.64819i | ||||
\(937\) | 1.87538e6 | − | 2.35165e6i | 0.0697814 | − | 0.0875032i | −0.745716 | − | 0.666264i | \(-0.767892\pi\) |
0.815497 | + | 0.578761i | \(0.196464\pi\) | |||||||
\(938\) | −8.77667e6 | − | 5.04250e6i | −0.325704 | − | 0.187128i | ||||
\(939\) | 1.57486e6 | + | 1.97481e6i | 0.0582878 | + | 0.0730906i | ||||
\(940\) | 4.50365e7 | − | 1.38919e7i | 1.66244 | − | 0.512794i | ||||
\(941\) | −3.79376e6 | − | 9.66634e6i | −0.139668 | − | 0.355867i | 0.843876 | − | 0.536538i | \(-0.180268\pi\) |
−0.983544 | + | 0.180671i | \(0.942173\pi\) | |||||||
\(942\) | 2.60162e7 | + | 8.02493e6i | 0.955248 | + | 0.294655i | ||||
\(943\) | −262185. | − | 3.49861e6i | −0.00960127 | − | 0.128120i | ||||
\(944\) | 1.31691e7 | + | 5.76976e7i | 0.480979 | + | 2.10731i | ||||
\(945\) | −1.74405e7 | − | 1.38481e7i | −0.635299 | − | 0.504440i | ||||
\(946\) | −3.64112e6 | + | 1.59528e7i | −0.132284 | + | 0.579573i | ||||
\(947\) | 3.12987e7 | + | 4.71752e6i | 1.13410 | + | 0.170938i | 0.689151 | − | 0.724618i | \(-0.257984\pi\) |
0.444949 | + | 0.895556i | \(0.353222\pi\) | |||||||
\(948\) | 6.17606e7 | − | 4.21077e7i | 2.23198 | − | 1.52174i | ||||
\(949\) | −1.69831e7 | + | 2.94156e7i | −0.612141 | + | 1.06026i | ||||
\(950\) | −7.99754e6 | − | 1.38521e7i | −0.287506 | − | 0.497975i | ||||
\(951\) | −9.78435e6 | − | 4.71189e6i | −0.350817 | − | 0.168945i | ||||
\(952\) | 5.60353e7 | − | 3.25102e7i | 2.00387 | − | 1.16259i | ||||
\(953\) | 1.67925e7 | − | 8.08686e6i | 0.598941 | − | 0.288435i | −0.109744 | − | 0.993960i | \(-0.535003\pi\) |
0.708685 | + | 0.705525i | \(0.249289\pi\) | |||||||
\(954\) | −736749. | − | 502307.i | −0.0262089 | − | 0.0178689i | ||||
\(955\) | 4.18572e6 | + | 3.88378e6i | 0.148512 | + | 0.137799i | ||||
\(956\) | −2.79506e7 | − | 2.59344e7i | −0.989115 | − | 0.917765i | ||||
\(957\) | 9.57703e6 | + | 6.52951e6i | 0.338027 | + | 0.230463i | ||||
\(958\) | 7.09746e6 | − | 3.41796e6i | 0.249856 | − | 0.120324i | ||||
\(959\) | 2.65055e7 | + | 1.03380e7i | 0.930655 | + | 0.362986i | ||||
\(960\) | 8.91190e7 | + | 4.29174e7i | 3.12099 | + | 1.50299i | ||||
\(961\) | 1.20784e7 | + | 2.09204e7i | 0.421891 | + | 0.730737i | ||||
\(962\) | 9.52114e6 | − | 1.64911e7i | 0.331704 | − | 0.574529i | ||||
\(963\) | 6.07537e6 | − | 4.14212e6i | 0.211109 | − | 0.143932i | ||||
\(964\) | 1.41746e8 | + | 2.13648e7i | 4.91268 | + | 0.740467i | ||||
\(965\) | −1.74588e6 | + | 7.64920e6i | −0.0603526 | + | 0.264422i | ||||
\(966\) | 1.08846e7 | − | 2.27249e7i | 0.375292 | − | 0.783536i | ||||
\(967\) | 6.02874e6 | + | 2.64136e7i | 0.207329 | + | 0.908369i | 0.966335 | + | 0.257285i | \(0.0828280\pi\) |
−0.759006 | + | 0.651083i | \(0.774315\pi\) | |||||||
\(968\) | −6.22414e6 | − | 8.30553e7i | −0.213496 | − | 2.84891i | ||||
\(969\) | −8.46226e6 | − | 2.61026e6i | −0.289519 | − | 0.0893047i | ||||
\(970\) | 2.38528e6 | + | 6.07758e6i | 0.0813972 | + | 0.207397i | ||||
\(971\) | −4.43316e7 | + | 1.36745e7i | −1.50892 | + | 0.465439i | −0.935351 | − | 0.353720i | \(-0.884916\pi\) |
−0.573566 | + | 0.819160i | \(0.694440\pi\) | |||||||
\(972\) | −4.27592e7 | − | 5.36184e7i | −1.45166 | − | 1.82032i | ||||
\(973\) | −4.59675e7 | − | 3.34705e6i | −1.55657 | − | 0.113339i | ||||
\(974\) | −4.54887e7 | + | 5.70410e7i | −1.53641 | + | 1.92659i | ||||
\(975\) | −6.07728e6 | + | 1.54846e7i | −0.204738 | + | 0.521663i | ||||
\(976\) | −3.70147e6 | + | 4.93927e7i | −0.124380 | + | 1.65973i | ||||
\(977\) | −5.11273e7 | + | 7.70620e6i | −1.71363 | + | 0.258288i | −0.931215 | − | 0.364472i | \(-0.881250\pi\) |
−0.782413 | + | 0.622759i | \(0.786012\pi\) | |||||||
\(978\) | −5.41774e7 | + | 5.02693e7i | −1.81122 | + | 1.68057i | ||||
\(979\) | 2.72591e7 | 0.908982 | ||||||||
\(980\) | −2.39750e7 | + | 6.18553e7i | −0.797432 | + | 2.05737i | ||||
\(981\) | −5.48439e6 | −0.181951 | ||||||||
\(982\) | 1.19019e7 | − | 1.10434e7i | 0.393857 | − | 0.365446i | ||||
\(983\) | 2.16471e7 | − | 3.26277e6i | 0.714521 | − | 0.107697i | 0.218286 | − | 0.975885i | \(-0.429953\pi\) |
0.496235 | + | 0.868188i | \(0.334715\pi\) | |||||||
\(984\) | 1.44914e6 | − | 1.93374e7i | 0.0477113 | − | 0.636664i | ||||
\(985\) | −7.27671e6 | + | 1.85408e7i | −0.238971 | + | 0.608888i | ||||
\(986\) | −2.44848e7 | + | 3.07030e7i | −0.802056 | + | 1.00575i | ||||
\(987\) | −2.74611e6 | − | 1.79614e7i | −0.0897274 | − | 0.586878i | ||||
\(988\) | 6.40687e7 | + | 8.03396e7i | 2.08811 | + | 2.61841i | ||||
\(989\) | −1.01320e7 | + | 3.12530e6i | −0.329384 | + | 0.101602i | ||||
\(990\) | 3.67895e6 | + | 9.37380e6i | 0.119299 | + | 0.303968i | ||||
\(991\) | −2.33057e7 | − | 7.18885e6i | −0.753837 | − | 0.232528i | −0.106062 | − | 0.994360i | \(-0.533824\pi\) |
−0.647775 | + | 0.761831i | \(0.724300\pi\) | |||||||
\(992\) | 4.98343e6 | + | 6.64992e7i | 0.160786 | + | 2.14554i | ||||
\(993\) | 5.02972e6 | + | 2.20366e7i | 0.161872 | + | 0.709205i | ||||
\(994\) | −3.62648e7 | − | 7.48991e7i | −1.16418 | − | 2.40442i | ||||
\(995\) | 6.80067e6 | − | 2.97957e7i | 0.217768 | − | 0.954104i | ||||
\(996\) | −9.58258e7 | − | 1.44434e7i | −3.06079 | − | 0.461340i | ||||
\(997\) | −1.17590e7 | + | 8.01712e6i | −0.374655 | + | 0.255435i | −0.735978 | − | 0.677005i | \(-0.763277\pi\) |
0.361324 | + | 0.932441i | \(0.382325\pi\) | |||||||
\(998\) | −5.45787e6 | + | 9.45331e6i | −0.173459 | + | 0.300440i | ||||
\(999\) | −3.32521e6 | − | 5.75943e6i | −0.105416 | − | 0.182585i |
(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 | 49.6.g.a.11.1 | yes | 264 | |
49.9 | even | 21 | inner | 49.6.g.a.9.1 | ✓ | 264 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
49.6.g.a.9.1 | ✓ | 264 | 49.9 | even | 21 | inner | |
49.6.g.a.11.1 | yes | 264 | 1.1 | even | 1 | trivial |