Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [61,7,Mod(8,61)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(61, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("61.8");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 61 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 61.j (of order \(20\), degree \(8\), 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: | \(14.0332991008\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 8.4 | ||
Character | \(\chi\) | \(=\) | 61.8 |
Dual form | 61.7.j.a.23.4 |
$q$-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 \(\left(\mathbb{Z}/61\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −12.0990 | − | 1.91629i | −1.51237 | − | 0.239536i | −0.655550 | − | 0.755152i | \(-0.727563\pi\) |
−0.856820 | + | 0.515616i | \(0.827563\pi\) | |||||||
\(3\) | 10.2537 | + | 14.1131i | 0.379768 | + | 0.522706i | 0.955523 | − | 0.294916i | \(-0.0952918\pi\) |
−0.575755 | + | 0.817622i | \(0.695292\pi\) | |||||||
\(4\) | 81.8450 | + | 26.5930i | 1.27883 | + | 0.415516i | ||||
\(5\) | 10.5714 | + | 3.43485i | 0.0845711 | + | 0.0274788i | 0.350997 | − | 0.936377i | \(-0.385843\pi\) |
−0.266426 | + | 0.963855i | \(0.585843\pi\) | |||||||
\(6\) | −97.0148 | − | 190.402i | −0.449143 | − | 0.881492i | ||||
\(7\) | −33.3080 | − | 210.298i | −0.0971079 | − | 0.613115i | −0.987463 | − | 0.157849i | \(-0.949544\pi\) |
0.890355 | − | 0.455266i | \(-0.150456\pi\) | |||||||
\(8\) | −240.743 | − | 122.664i | −0.470200 | − | 0.239579i | ||||
\(9\) | 131.234 | − | 403.897i | 0.180019 | − | 0.554043i | ||||
\(10\) | −121.321 | − | 61.8159i | −0.121321 | − | 0.0618159i | ||||
\(11\) | −1774.53 | + | 1774.53i | −1.33323 | + | 1.33323i | −0.430765 | + | 0.902464i | \(0.641756\pi\) |
−0.902464 | + | 0.430765i | \(0.858244\pi\) | |||||||
\(12\) | 463.908 | + | 1427.76i | 0.268465 | + | 0.826250i | ||||
\(13\) | 1268.39 | 0.577330 | 0.288665 | − | 0.957430i | \(-0.406789\pi\) | ||||
0.288665 | + | 0.957430i | \(0.406789\pi\) | |||||||
\(14\) | 2608.22i | 0.950517i | ||||||||
\(15\) | 59.9200 | + | 184.415i | 0.0177541 | + | 0.0546414i | ||||
\(16\) | −1778.10 | − | 1291.87i | −0.434107 | − | 0.315397i | ||||
\(17\) | 210.353 | + | 412.841i | 0.0428156 | + | 0.0840304i | 0.911423 | − | 0.411470i | \(-0.134985\pi\) |
−0.868608 | + | 0.495501i | \(0.834985\pi\) | |||||||
\(18\) | −2361.78 | + | 4635.25i | −0.404969 | + | 0.794796i | ||||
\(19\) | −1492.28 | − | 2053.95i | −0.217566 | − | 0.299453i | 0.686258 | − | 0.727358i | \(-0.259252\pi\) |
−0.903824 | + | 0.427905i | \(0.859252\pi\) | |||||||
\(20\) | 773.872 | + | 562.251i | 0.0967340 | + | 0.0702813i | ||||
\(21\) | 2626.42 | − | 2626.42i | 0.283600 | − | 0.283600i | ||||
\(22\) | 24870.4 | − | 18069.4i | 2.33569 | − | 1.69698i | ||||
\(23\) | 18876.1 | − | 9617.85i | 1.55142 | − | 0.790486i | 0.552347 | − | 0.833614i | \(-0.313732\pi\) |
0.999070 | + | 0.0431279i | \(0.0137323\pi\) | |||||||
\(24\) | −737.340 | − | 4655.38i | −0.0533377 | − | 0.336761i | ||||
\(25\) | −12540.9 | − | 9111.52i | −0.802620 | − | 0.583137i | ||||
\(26\) | −15346.2 | − | 2430.61i | −0.873136 | − | 0.138291i | ||||
\(27\) | 19140.6 | − | 6219.17i | 0.972444 | − | 0.315966i | ||||
\(28\) | 2866.38 | − | 18097.6i | 0.130575 | − | 0.824418i | ||||
\(29\) | 23267.1 | − | 23267.1i | 0.954001 | − | 0.954001i | −0.0449868 | − | 0.998988i | \(-0.514325\pi\) |
0.998988 | + | 0.0449868i | \(0.0143246\pi\) | |||||||
\(30\) | −371.578 | − | 2346.05i | −0.0137621 | − | 0.0868907i | ||||
\(31\) | 20503.5 | − | 3247.43i | 0.688244 | − | 0.109007i | 0.197490 | − | 0.980305i | \(-0.436721\pi\) |
0.490755 | + | 0.871298i | \(0.336721\pi\) | |||||||
\(32\) | 31265.1 | + | 31265.1i | 0.954134 | + | 0.954134i | ||||
\(33\) | −43239.6 | − | 6848.47i | −1.20320 | − | 0.190569i | ||||
\(34\) | −1753.93 | − | 5398.05i | −0.0446248 | − | 0.137341i | ||||
\(35\) | 370.232 | − | 2337.56i | 0.00863516 | − | 0.0545202i | ||||
\(36\) | 21481.7 | − | 29567.0i | 0.460427 | − | 0.633724i | ||||
\(37\) | −31409.6 | + | 4974.80i | −0.620095 | + | 0.0982133i | −0.458574 | − | 0.888656i | \(-0.651640\pi\) |
−0.161520 | + | 0.986869i | \(0.551640\pi\) | |||||||
\(38\) | 14119.1 | + | 27710.3i | 0.257310 | + | 0.504999i | ||||
\(39\) | 13005.8 | + | 17900.9i | 0.219252 | + | 0.301774i | ||||
\(40\) | −2123.65 | − | 2123.65i | −0.0331820 | − | 0.0331820i | ||||
\(41\) | 28107.5 | − | 38686.6i | 0.407822 | − | 0.561319i | −0.554864 | − | 0.831941i | \(-0.687230\pi\) |
0.962685 | + | 0.270623i | \(0.0872296\pi\) | |||||||
\(42\) | −36810.0 | + | 26744.0i | −0.496841 | + | 0.360976i | ||||
\(43\) | 37117.0 | + | 18912.1i | 0.466839 | + | 0.237867i | 0.671555 | − | 0.740955i | \(-0.265627\pi\) |
−0.204715 | + | 0.978822i | \(0.565627\pi\) | |||||||
\(44\) | −192426. | + | 98046.1i | −2.25895 | + | 1.15099i | ||||
\(45\) | 2774.65 | − | 3818.98i | 0.0304489 | − | 0.0419093i | ||||
\(46\) | −246811. | + | 80193.9i | −2.53567 | + | 0.823888i | ||||
\(47\) | 130556. | 1.25749 | 0.628743 | − | 0.777613i | \(-0.283570\pi\) | ||||
0.628743 | + | 0.777613i | \(0.283570\pi\) | |||||||
\(48\) | − | 38340.9i | − | 0.346688i | ||||||
\(49\) | 68774.8 | − | 22346.3i | 0.584576 | − | 0.189940i | ||||
\(50\) | 134272. | + | 134272.i | 1.07418 | + | 1.07418i | ||||
\(51\) | −3669.55 | + | 7201.90i | −0.0276632 | + | 0.0542921i | ||||
\(52\) | 103812. | + | 33730.5i | 0.738306 | + | 0.239890i | ||||
\(53\) | −18127.4 | + | 35577.0i | −0.121761 | + | 0.238969i | −0.943839 | − | 0.330405i | \(-0.892815\pi\) |
0.822078 | + | 0.569375i | \(0.192815\pi\) | |||||||
\(54\) | −243499. | + | 38566.5i | −1.54638 | + | 0.244923i | ||||
\(55\) | −24854.5 | + | 12664.0i | −0.149388 | + | 0.0761171i | ||||
\(56\) | −17777.5 | + | 54713.5i | −0.101229 | + | 0.311552i | ||||
\(57\) | 13686.1 | − | 42121.3i | 0.0739016 | − | 0.227446i | ||||
\(58\) | −326094. | + | 236921.i | −1.67132 | + | 1.21428i | ||||
\(59\) | −3793.24 | + | 23949.6i | −0.0184695 | + | 0.116612i | −0.995201 | − | 0.0978559i | \(-0.968802\pi\) |
0.976731 | + | 0.214467i | \(0.0688016\pi\) | |||||||
\(60\) | 16686.9i | 0.0772540i | ||||||||
\(61\) | 209531. | − | 87275.9i | 0.923122 | − | 0.384507i | ||||
\(62\) | −254294. | −1.06699 | ||||||||
\(63\) | −89310.1 | − | 14145.3i | −0.357173 | − | 0.0565707i | ||||
\(64\) | −235682. | − | 324389.i | −0.899057 | − | 1.23745i | ||||
\(65\) | 13408.7 | + | 4356.75i | 0.0488255 | + | 0.0158644i | ||||
\(66\) | 510030. | + | 165719.i | 1.77404 | + | 0.576421i | ||||
\(67\) | −230354. | − | 452095.i | −0.765898 | − | 1.50316i | −0.861510 | − | 0.507740i | \(-0.830481\pi\) |
0.0956123 | − | 0.995419i | \(-0.469519\pi\) | |||||||
\(68\) | 6237.64 | + | 39382.9i | 0.0198378 | + | 0.125251i | ||||
\(69\) | 329288. | + | 167780.i | 1.00237 | + | 0.510733i | ||||
\(70\) | −8958.85 | + | 27572.5i | −0.0261191 | + | 0.0803863i | ||||
\(71\) | 327937. | + | 167092.i | 0.916252 | + | 0.466854i | 0.847509 | − | 0.530781i | \(-0.178101\pi\) |
0.0687429 | + | 0.997634i | \(0.478101\pi\) | |||||||
\(72\) | −81137.4 | + | 81137.4i | −0.217382 | + | 0.217382i | ||||
\(73\) | −164195. | − | 505341.i | −0.422077 | − | 1.29902i | −0.905765 | − | 0.423780i | \(-0.860703\pi\) |
0.483688 | − | 0.875240i | \(-0.339297\pi\) | |||||||
\(74\) | 389557. | 0.961338 | ||||||||
\(75\) | − | 270418.i | − | 0.640991i | ||||||
\(76\) | −67515.0 | − | 207790.i | −0.153801 | − | 0.473351i | ||||
\(77\) | 432287. | + | 314075.i | 0.946890 | + | 0.687956i | ||||
\(78\) | −123053. | − | 241505.i | −0.259304 | − | 0.508912i | ||||
\(79\) | 249483. | − | 489639.i | 0.506011 | − | 0.993103i | −0.486811 | − | 0.873507i | \(-0.661840\pi\) |
0.992823 | − | 0.119596i | \(-0.0381599\pi\) | |||||||
\(80\) | −14359.6 | − | 19764.3i | −0.0280462 | − | 0.0386022i | ||||
\(81\) | 33567.9 | + | 24388.5i | 0.0631640 | + | 0.0458913i | ||||
\(82\) | −414206. | + | 414206.i | −0.751233 | + | 0.751233i | ||||
\(83\) | −678519. | + | 492973.i | −1.18666 | + | 0.862162i | −0.992908 | − | 0.118888i | \(-0.962067\pi\) |
−0.193756 | + | 0.981050i | \(0.562067\pi\) | |||||||
\(84\) | 284804. | − | 145115.i | 0.480516 | − | 0.244835i | ||||
\(85\) | 805.676 | + | 5086.84i | 0.00131191 | + | 0.00828307i | ||||
\(86\) | −412836. | − | 299943.i | −0.649056 | − | 0.471567i | ||||
\(87\) | 566945. | + | 89795.3i | 0.860961 | + | 0.136363i | ||||
\(88\) | 644876. | − | 209533.i | 0.946298 | − | 0.307471i | ||||
\(89\) | −111706. | + | 705283.i | −0.158455 | + | 1.00045i | 0.772421 | + | 0.635111i | \(0.219046\pi\) |
−0.930876 | + | 0.365335i | \(0.880954\pi\) | |||||||
\(90\) | −40888.7 | + | 40888.7i | −0.0560887 | + | 0.0560887i | ||||
\(91\) | −42247.7 | − | 266741.i | −0.0560633 | − | 0.353970i | ||||
\(92\) | 1.80068e6 | − | 285200.i | 2.31245 | − | 0.366257i | ||||
\(93\) | 256069. | + | 256069.i | 0.318352 | + | 0.318352i | ||||
\(94\) | −1.57959e6 | − | 250183.i | −1.90178 | − | 0.301213i | ||||
\(95\) | −8720.48 | − | 26838.9i | −0.0101711 | − | 0.0313036i | ||||
\(96\) | −120662. | + | 761829.i | −0.136382 | + | 0.861081i | ||||
\(97\) | 151346. | − | 208311.i | 0.165828 | − | 0.228242i | −0.718014 | − | 0.696029i | \(-0.754948\pi\) |
0.883841 | + | 0.467787i | \(0.154948\pi\) | |||||||
\(98\) | −874925. | + | 138575.i | −0.929593 | + | 0.147233i | ||||
\(99\) | 483848. | + | 949605.i | 0.498659 | + | 0.978673i | ||||
\(100\) | −784109. | − | 1.07923e6i | −0.784109 | − | 1.07923i | ||||
\(101\) | −101866. | − | 101866.i | −0.0988703 | − | 0.0988703i | 0.655941 | − | 0.754812i | \(-0.272272\pi\) |
−0.754812 | + | 0.655941i | \(0.772272\pi\) | |||||||
\(102\) | 58198.6 | − | 80103.5i | 0.0548418 | − | 0.0754833i | ||||
\(103\) | −851593. | + | 618718.i | −0.779328 | + | 0.566215i | −0.904777 | − | 0.425885i | \(-0.859963\pi\) |
0.125449 | + | 0.992100i | \(0.459963\pi\) | |||||||
\(104\) | −305356. | − | 155587.i | −0.271461 | − | 0.138316i | ||||
\(105\) | 36786.3 | − | 18743.6i | 0.0317774 | − | 0.0161914i | ||||
\(106\) | 287498. | − | 395707.i | 0.241389 | − | 0.332244i | ||||
\(107\) | 128244. | − | 41669.0i | 0.104685 | − | 0.0340143i | −0.256206 | − | 0.966622i | \(-0.582473\pi\) |
0.360891 | + | 0.932608i | \(0.382473\pi\) | |||||||
\(108\) | 1.73195e6 | 1.37488 | ||||||||
\(109\) | 533857.i | 0.412235i | 0.978527 | + | 0.206118i | \(0.0660830\pi\) | ||||
−0.978527 | + | 0.206118i | \(0.933917\pi\) | |||||||
\(110\) | 324981. | − | 105593.i | 0.244163 | − | 0.0793334i | ||||
\(111\) | −392276. | − | 392276.i | −0.286829 | − | 0.286829i | ||||
\(112\) | −212453. | + | 416962.i | −0.151220 | + | 0.296785i | ||||
\(113\) | −670227. | − | 217770.i | −0.464501 | − | 0.150925i | 0.0674110 | − | 0.997725i | \(-0.478526\pi\) |
−0.531912 | + | 0.846800i | \(0.678526\pi\) | |||||||
\(114\) | −246303. | + | 483398.i | −0.166248 | + | 0.326280i | ||||
\(115\) | 232582. | − | 36837.4i | 0.152927 | − | 0.0242212i | ||||
\(116\) | 2.52304e6 | − | 1.28555e6i | 1.61641 | − | 0.823600i | ||||
\(117\) | 166457. | − | 512301.i | 0.103931 | − | 0.319865i | ||||
\(118\) | 91788.4 | − | 282496.i | 0.0558653 | − | 0.171936i | ||||
\(119\) | 79813.5 | − | 57987.9i | 0.0473626 | − | 0.0344109i | ||||
\(120\) | 8195.84 | − | 51746.5i | 0.00474296 | − | 0.0299459i | ||||
\(121\) | − | 4.52634e6i | − | 2.55500i | ||||||
\(122\) | −2.70235e6 | + | 654425.i | −1.48820 | + | 0.360397i | ||||
\(123\) | 834194. | 0.448282 | ||||||||
\(124\) | 1.76447e6 | + | 279464.i | 0.925440 | + | 0.146575i | ||||
\(125\) | −203364. | − | 279907.i | −0.104122 | − | 0.143312i | ||||
\(126\) | 1.05345e6 | + | 342287.i | 0.526627 | + | 0.171112i | ||||
\(127\) | −468008. | − | 152065.i | −0.228477 | − | 0.0742366i | 0.192541 | − | 0.981289i | \(-0.438327\pi\) |
−0.421018 | + | 0.907052i | \(0.638327\pi\) | |||||||
\(128\) | 945190. | + | 1.85504e6i | 0.450702 | + | 0.884552i | ||||
\(129\) | 113681. | + | 717754.i | 0.0529564 | + | 0.334354i | ||||
\(130\) | −153882. | − | 78407.0i | −0.0700420 | − | 0.0356882i | ||||
\(131\) | 358838. | − | 1.10439e6i | 0.159619 | − | 0.491256i | −0.838981 | − | 0.544161i | \(-0.816848\pi\) |
0.998600 | + | 0.0529050i | \(0.0168480\pi\) | |||||||
\(132\) | −3.35682e6 | − | 1.71038e6i | −1.45951 | − | 0.743656i | ||||
\(133\) | −382238. | + | 382238.i | −0.162472 | + | 0.162472i | ||||
\(134\) | 1.92070e6 | + | 5.91130e6i | 0.798260 | + | 2.45679i | ||||
\(135\) | 223705. | 0.0909231 | ||||||||
\(136\) | − | 125191.i | − | 0.0497689i | ||||||
\(137\) | −725877. | − | 2.23402e6i | −0.282294 | − | 0.868811i | −0.987197 | − | 0.159507i | \(-0.949009\pi\) |
0.704903 | − | 0.709304i | \(-0.250991\pi\) | |||||||
\(138\) | −3.66252e6 | − | 2.66098e6i | −1.39362 | − | 1.01252i | ||||
\(139\) | 2.09873e6 | + | 4.11899e6i | 0.781471 | + | 1.53372i | 0.844405 | + | 0.535705i | \(0.179954\pi\) |
−0.0629350 | + | 0.998018i | \(0.520046\pi\) | |||||||
\(140\) | 92464.3 | − | 181472.i | 0.0336969 | − | 0.0661339i | ||||
\(141\) | 1.33869e6 | + | 1.84254e6i | 0.477553 | + | 0.657295i | ||||
\(142\) | −3.64750e6 | − | 2.65006e6i | −1.27388 | − | 0.925531i | ||||
\(143\) | −2.25080e6 | + | 2.25080e6i | −0.769713 | + | 0.769713i | ||||
\(144\) | −755129. | + | 548633.i | −0.252891 | + | 0.183736i | ||||
\(145\) | 325885. | − | 166047.i | 0.106896 | − | 0.0544661i | ||||
\(146\) | 1.01821e6 | + | 6.42874e6i | 0.327175 | + | 2.06570i | ||||
\(147\) | 1.02057e6 | + | 741490.i | 0.321286 | + | 0.233428i | ||||
\(148\) | −2.70302e6 | − | 428116.i | −0.833803 | − | 0.132061i | ||||
\(149\) | 443475. | − | 144094.i | 0.134064 | − | 0.0435599i | −0.241217 | − | 0.970471i | \(-0.577546\pi\) |
0.375280 | + | 0.926911i | \(0.377546\pi\) | |||||||
\(150\) | −518198. | + | 3.27178e6i | −0.153540 | + | 0.969415i | ||||
\(151\) | 988651. | − | 988651.i | 0.287152 | − | 0.287152i | −0.548801 | − | 0.835953i | \(-0.684916\pi\) |
0.835953 | + | 0.548801i | \(0.184916\pi\) | |||||||
\(152\) | 107309. | + | 677523.i | 0.0305567 | + | 0.192927i | ||||
\(153\) | 194351. | − | 30782.2i | 0.0542641 | − | 0.00859459i | ||||
\(154\) | −4.62836e6 | − | 4.62836e6i | −1.26726 | − | 1.26726i | ||||
\(155\) | 227905. | + | 36096.6i | 0.0612010 | + | 0.00969329i | ||||
\(156\) | 588418. | + | 1.81096e6i | 0.154993 | + | 0.477019i | ||||
\(157\) | −235842. | + | 1.48905e6i | −0.0609429 | + | 0.384778i | 0.938298 | + | 0.345827i | \(0.112402\pi\) |
−0.999241 | + | 0.0389511i | \(0.987598\pi\) | |||||||
\(158\) | −3.95678e6 | + | 5.44603e6i | −1.00316 | + | 1.38073i | ||||
\(159\) | −687974. | + | 108964.i | −0.171151 | + | 0.0271077i | ||||
\(160\) | 223124. | + | 437906.i | 0.0544737 | + | 0.106911i | ||||
\(161\) | −2.65134e6 | − | 3.64926e6i | −0.635314 | − | 0.874435i | ||||
\(162\) | −359402. | − | 359402.i | −0.0845347 | − | 0.0845347i | ||||
\(163\) | −1.88516e6 | + | 2.59470e6i | −0.435297 | + | 0.599135i | −0.969159 | − | 0.246437i | \(-0.920740\pi\) |
0.533862 | + | 0.845572i | \(0.320740\pi\) | |||||||
\(164\) | 3.32925e6 | − | 2.41884e6i | 0.754771 | − | 0.548373i | ||||
\(165\) | −433579. | − | 220919.i | −0.0965197 | − | 0.0491793i | ||||
\(166\) | 9.15405e6 | − | 4.66422e6i | 2.00119 | − | 1.01966i | ||||
\(167\) | 4.75486e6 | − | 6.54450e6i | 1.02091 | − | 1.40516i | 0.109348 | − | 0.994003i | \(-0.465124\pi\) |
0.911563 | − | 0.411160i | \(-0.134876\pi\) | |||||||
\(168\) | −954460. | + | 310123.i | −0.201294 | + | 0.0654043i | ||||
\(169\) | −3.21799e6 | −0.666690 | ||||||||
\(170\) | − | 63089.4i | − | 0.0128413i | ||||||
\(171\) | −1.02542e6 | + | 333180.i | −0.205076 | + | 0.0666332i | ||||
\(172\) | 2.53491e6 | + | 2.53491e6i | 0.498170 | + | 0.498170i | ||||
\(173\) | −334452. | + | 656399.i | −0.0645945 | + | 0.126774i | −0.921046 | − | 0.389453i | \(-0.872664\pi\) |
0.856452 | + | 0.516227i | \(0.172664\pi\) | |||||||
\(174\) | −6.68737e6 | − | 2.17286e6i | −1.26943 | − | 0.412462i | ||||
\(175\) | −1.49843e6 | + | 2.94083e6i | −0.279590 | + | 0.548726i | ||||
\(176\) | 5.44774e6 | − | 862838.i | 0.999260 | − | 0.158267i | ||||
\(177\) | −376896. | + | 192038.i | −0.0679676 | + | 0.0346312i | ||||
\(178\) | 2.70305e6 | − | 8.31913e6i | 0.479285 | − | 1.47509i | ||||
\(179\) | −531479. | + | 1.63572e6i | −0.0926674 | + | 0.285201i | −0.986639 | − | 0.162923i | \(-0.947908\pi\) |
0.893971 | + | 0.448124i | \(0.147908\pi\) | |||||||
\(180\) | 328650. | − | 238778.i | 0.0563528 | − | 0.0409427i | ||||
\(181\) | 328609. | − | 2.07476e6i | 0.0554172 | − | 0.349890i | −0.944363 | − | 0.328906i | \(-0.893320\pi\) |
0.999780 | − | 0.0209841i | \(-0.00667994\pi\) | |||||||
\(182\) | 3.30825e6i | 0.548762i | ||||||||
\(183\) | 3.38021e6 | + | 2.06222e6i | 0.551556 | + | 0.336498i | ||||
\(184\) | −5.72404e6 | −0.918860 | ||||||||
\(185\) | −349131. | − | 55297.0i | −0.0551409 | − | 0.00873346i | ||||
\(186\) | −2.60746e6 | − | 3.58886e6i | −0.405209 | − | 0.557722i | ||||
\(187\) | −1.10588e6 | − | 359321.i | −0.169115 | − | 0.0549488i | ||||
\(188\) | 1.06853e7 | + | 3.47188e6i | 1.60811 | + | 0.522506i | ||||
\(189\) | −1.94542e6 | − | 3.81810e6i | −0.288156 | − | 0.565538i | ||||
\(190\) | 54077.7 | + | 341433.i | 0.00788420 | + | 0.0497789i | ||||
\(191\) | 8.46358e6 | + | 4.31241e6i | 1.21466 | + | 0.618899i | 0.939516 | − | 0.342505i | \(-0.111275\pi\) |
0.275141 | + | 0.961404i | \(0.411275\pi\) | |||||||
\(192\) | 2.16149e6 | − | 6.65240e6i | 0.305387 | − | 0.939884i | ||||
\(193\) | 9.87426e6 | + | 5.03119e6i | 1.37351 | + | 0.699839i | 0.976003 | − | 0.217758i | \(-0.0698745\pi\) |
0.397510 | + | 0.917598i | \(0.369875\pi\) | |||||||
\(194\) | −2.23032e6 | + | 2.23032e6i | −0.305465 | + | 0.305465i | ||||
\(195\) | 76002.2 | + | 233911.i | 0.0102500 | + | 0.0315461i | ||||
\(196\) | 6.22313e6 | 0.826496 | ||||||||
\(197\) | 9.46668e6i | 1.23822i | 0.785303 | + | 0.619112i | \(0.212507\pi\) | ||||
−0.785303 | + | 0.619112i | \(0.787493\pi\) | |||||||
\(198\) | −4.03434e6 | − | 1.24164e7i | −0.519729 | − | 1.59956i | ||||
\(199\) | −3.98313e6 | − | 2.89391e6i | −0.505434 | − | 0.367220i | 0.305654 | − | 0.952142i | \(-0.401125\pi\) |
−0.811089 | + | 0.584923i | \(0.801125\pi\) | |||||||
\(200\) | 1.90148e6 | + | 3.73186e6i | 0.237685 | + | 0.466482i | ||||
\(201\) | 4.01845e6 | − | 7.88665e6i | 0.494847 | − | 0.971191i | ||||
\(202\) | 1.03727e6 | + | 1.42768e6i | 0.125845 | + | 0.173211i | ||||
\(203\) | −5.66802e6 | − | 4.11806e6i | −0.677553 | − | 0.492271i | ||||
\(204\) | −491854. | + | 491854.i | −0.0579357 | + | 0.0579357i | ||||
\(205\) | 430018. | − | 312426.i | 0.0499143 | − | 0.0362649i | ||||
\(206\) | 1.14890e7 | − | 5.85395e6i | 1.31426 | − | 0.669649i | ||||
\(207\) | −1.40743e6 | − | 8.88619e6i | −0.158678 | − | 1.00185i | ||||
\(208\) | −2.25533e6 | − | 1.63860e6i | −0.250623 | − | 0.182088i | ||||
\(209\) | 6.29289e6 | + | 996696.i | 0.689305 | + | 0.109175i | ||||
\(210\) | −480994. | + | 156284.i | −0.0519376 | + | 0.0168755i | ||||
\(211\) | 1.27233e6 | − | 8.03316e6i | 0.135441 | − | 0.855143i | −0.822622 | − | 0.568588i | \(-0.807490\pi\) |
0.958064 | − | 0.286555i | \(-0.0925101\pi\) | |||||||
\(212\) | −2.42974e6 | + | 2.42974e6i | −0.255007 | + | 0.255007i | ||||
\(213\) | 1.00440e6 | + | 6.34151e6i | 0.103936 | + | 0.656227i | ||||
\(214\) | −1.63147e6 | + | 258399.i | −0.166470 | + | 0.0263663i | ||||
\(215\) | 327418. | + | 327418.i | 0.0329448 | + | 0.0329448i | ||||
\(216\) | −5.37083e6 | − | 850656.i | −0.532943 | − | 0.0844098i | ||||
\(217\) | −1.36586e6 | − | 4.20369e6i | −0.133668 | − | 0.411388i | ||||
\(218\) | 1.02302e6 | − | 6.45911e6i | 0.0987451 | − | 0.623452i | ||||
\(219\) | 5.44829e6 | − | 7.49893e6i | 0.518714 | − | 0.713948i | ||||
\(220\) | −2.37099e6 | + | 375527.i | −0.222670 | + | 0.0352674i | ||||
\(221\) | 266811. | + | 523646.i | 0.0247188 | + | 0.0485133i | ||||
\(222\) | 3.99442e6 | + | 5.49784e6i | 0.365085 | + | 0.502497i | ||||
\(223\) | −5.67424e6 | − | 5.67424e6i | −0.511673 | − | 0.511673i | 0.403366 | − | 0.915039i | \(-0.367840\pi\) |
−0.915039 | + | 0.403366i | \(0.867840\pi\) | |||||||
\(224\) | 5.53362e6 | − | 7.61637e6i | 0.492340 | − | 0.677648i | ||||
\(225\) | −5.32592e6 | + | 3.86950e6i | −0.467570 | + | 0.339710i | ||||
\(226\) | 7.69173e6 | + | 3.91913e6i | 0.666344 | + | 0.339519i | ||||
\(227\) | −9.52738e6 | + | 4.85444e6i | −0.814509 | + | 0.415013i | −0.811047 | − | 0.584981i | \(-0.801102\pi\) |
−0.00346199 | + | 0.999994i | \(0.501102\pi\) | |||||||
\(228\) | 2.24027e6 | − | 3.08346e6i | 0.189015 | − | 0.260156i | ||||
\(229\) | −1.79686e7 | + | 5.83837e6i | −1.49627 | + | 0.486166i | −0.938926 | − | 0.344118i | \(-0.888178\pi\) |
−0.557340 | + | 0.830284i | \(0.688178\pi\) | |||||||
\(230\) | −2.88459e6 | −0.237083 | ||||||||
\(231\) | 9.32132e6i | 0.756209i | ||||||||
\(232\) | −8.45544e6 | + | 2.74734e6i | −0.677130 | + | 0.220013i | ||||
\(233\) | −1.90259e6 | − | 1.90259e6i | −0.150410 | − | 0.150410i | 0.627891 | − | 0.778301i | \(-0.283918\pi\) |
−0.778301 | + | 0.627891i | \(0.783918\pi\) | |||||||
\(234\) | −2.99567e6 | + | 5.87932e6i | −0.233801 | + | 0.458860i | ||||
\(235\) | 1.38016e6 | + | 448441.i | 0.106347 | + | 0.0345542i | ||||
\(236\) | −947349. | + | 1.85928e6i | −0.0720732 | + | 0.141452i | ||||
\(237\) | 9.46843e6 | − | 1.49965e6i | 0.711268 | − | 0.112654i | ||||
\(238\) | −1.07678e6 | + | 548647.i | −0.0798724 | + | 0.0406970i | ||||
\(239\) | −1.93344e6 | + | 5.95051e6i | −0.141624 | + | 0.435873i | −0.996561 | − | 0.0828576i | \(-0.973595\pi\) |
0.854938 | + | 0.518731i | \(0.173595\pi\) | |||||||
\(240\) | 131695. | − | 405317.i | 0.00952658 | − | 0.0293198i | ||||
\(241\) | −4.00773e6 | + | 2.91179e6i | −0.286317 | + | 0.208022i | −0.721668 | − | 0.692239i | \(-0.756624\pi\) |
0.435351 | + | 0.900261i | \(0.356624\pi\) | |||||||
\(242\) | −8.67376e6 | + | 5.47640e7i | −0.612014 | + | 3.86410i | ||||
\(243\) | − | 1.39478e7i | − | 0.972044i | ||||||
\(244\) | 1.94700e7 | − | 1.57102e6i | 1.34028 | − | 0.108147i | ||||
\(245\) | 803802. | 0.0546576 | ||||||||
\(246\) | −1.00929e7 | − | 1.59855e6i | −0.677968 | − | 0.107380i | ||||
\(247\) | −1.89280e6 | − | 2.60522e6i | −0.125607 | − | 0.172883i | ||||
\(248\) | −5.33441e6 | − | 1.73325e6i | −0.349729 | − | 0.113634i | ||||
\(249\) | −1.39147e7 | − | 4.52116e6i | −0.901314 | − | 0.292855i | ||||
\(250\) | 1.92411e6 | + | 3.77628e6i | 0.123143 | + | 0.241682i | ||||
\(251\) | 3.67792e6 | + | 2.32215e7i | 0.232585 | + | 1.46848i | 0.776912 | + | 0.629609i | \(0.216785\pi\) |
−0.544328 | + | 0.838873i | \(0.683215\pi\) | |||||||
\(252\) | −6.93341e6 | − | 3.53275e6i | −0.433257 | − | 0.220755i | ||||
\(253\) | −1.64290e7 | + | 5.05633e7i | −1.01449 | + | 3.12229i | ||||
\(254\) | 5.37101e6 | + | 2.73666e6i | 0.327759 | + | 0.167001i | ||||
\(255\) | −63529.7 | + | 63529.7i | −0.00383139 | + | 0.00383139i | ||||
\(256\) | 48929.2 | + | 150589.i | 0.00291641 | + | 0.00897579i | ||||
\(257\) | −2.97789e7 | −1.75432 | −0.877162 | − | 0.480195i | \(-0.840566\pi\) | ||||
−0.877162 | + | 0.480195i | \(0.840566\pi\) | |||||||
\(258\) | − | 8.90191e6i | − | 0.518351i | ||||||
\(259\) | 2.09239e6 | + | 6.43970e6i | 0.120432 | + | 0.370652i | ||||
\(260\) | 981574. | + | 713156.i | 0.0558474 | + | 0.0405755i | ||||
\(261\) | −6.34408e6 | − | 1.24510e7i | −0.356818 | − | 0.700296i | ||||
\(262\) | −6.45788e6 | + | 1.26743e7i | −0.359076 | + | 0.704726i | ||||
\(263\) | −1.64827e6 | − | 2.26865e6i | −0.0906069 | − | 0.124710i | 0.761307 | − | 0.648392i | \(-0.224558\pi\) |
−0.851914 | + | 0.523682i | \(0.824558\pi\) | |||||||
\(264\) | 9.56954e6 | + | 6.95268e6i | 0.520091 | + | 0.377868i | ||||
\(265\) | −313834. | + | 313834.i | −0.0168640 | + | 0.0168640i | ||||
\(266\) | 5.35715e6 | − | 3.89220e6i | 0.284636 | − | 0.206800i | ||||
\(267\) | −1.10991e7 | + | 5.65528e6i | −0.583115 | + | 0.297112i | ||||
\(268\) | −6.83072e6 | − | 4.31275e7i | −0.354864 | − | 2.24052i | ||||
\(269\) | −2.15223e7 | − | 1.56369e7i | −1.10569 | − | 0.803328i | −0.123708 | − | 0.992319i | \(-0.539479\pi\) |
−0.981979 | + | 0.188990i | \(0.939479\pi\) | |||||||
\(270\) | −2.70660e6 | − | 428683.i | −0.137509 | − | 0.0217793i | ||||
\(271\) | 3.49365e7 | − | 1.13516e7i | 1.75538 | − | 0.570358i | 0.758677 | − | 0.651466i | \(-0.225846\pi\) |
0.996705 | + | 0.0811081i | \(0.0258459\pi\) | |||||||
\(272\) | 159307. | − | 1.00582e6i | 0.00791639 | − | 0.0499821i | ||||
\(273\) | 3.33134e6 | − | 3.33134e6i | 0.163731 | − | 0.163731i | ||||
\(274\) | 4.50133e6 | + | 2.84203e7i | 0.218821 | + | 1.38158i | ||||
\(275\) | 3.84229e7 | − | 6.08559e6i | 1.84753 | − | 0.292620i | ||||
\(276\) | 2.24887e7 | + | 2.24887e7i | 1.06964 | + | 1.06964i | ||||
\(277\) | −2.01230e6 | − | 318716.i | −0.0946787 | − | 0.0149956i | 0.108915 | − | 0.994051i | \(-0.465262\pi\) |
−0.203594 | + | 0.979055i | \(0.565262\pi\) | |||||||
\(278\) | −1.74993e7 | − | 5.38573e7i | −0.814491 | − | 2.50674i | ||||
\(279\) | 1.37913e6 | − | 8.70747e6i | 0.0635027 | − | 0.400940i | ||||
\(280\) | −375866. | + | 517335.i | −0.0171222 | + | 0.0235666i | ||||
\(281\) | −9.53283e6 | + | 1.50985e6i | −0.429638 | + | 0.0680480i | −0.367509 | − | 0.930020i | \(-0.619789\pi\) |
−0.0621296 | + | 0.998068i | \(0.519789\pi\) | |||||||
\(282\) | −1.26659e7 | − | 2.48582e7i | −0.564791 | − | 1.10846i | ||||
\(283\) | 1.63842e7 | + | 2.25509e7i | 0.722878 | + | 0.994956i | 0.999423 | + | 0.0339555i | \(0.0108105\pi\) |
−0.276545 | + | 0.961001i | \(0.589190\pi\) | |||||||
\(284\) | 2.23965e7 | + | 2.23965e7i | 0.977743 | + | 0.977743i | ||||
\(285\) | 289361. | − | 398271.i | 0.0124999 | − | 0.0172046i | ||||
\(286\) | 3.15455e7 | − | 2.29192e7i | 1.34846 | − | 0.979717i | ||||
\(287\) | −9.07195e6 | − | 4.62239e6i | −0.383756 | − | 0.195533i | ||||
\(288\) | 1.67309e7 | − | 8.52482e6i | 0.700393 | − | 0.356868i | ||||
\(289\) | 1.40615e7 | − | 1.93540e7i | 0.582557 | − | 0.801821i | ||||
\(290\) | −4.26106e6 | + | 1.38450e6i | −0.174712 | + | 0.0567675i | ||||
\(291\) | 4.49177e6 | 0.182280 | ||||||||
\(292\) | − | 4.57260e7i | − | 1.83660i | ||||||
\(293\) | −4.30147e6 | + | 1.39763e6i | −0.171007 | + | 0.0555636i | −0.393269 | − | 0.919423i | \(-0.628656\pi\) |
0.222262 | + | 0.974987i | \(0.428656\pi\) | |||||||
\(294\) | −1.09270e7 | − | 1.09270e7i | −0.429989 | − | 0.429989i | ||||
\(295\) | −122363. | + | 240151.i | −0.00476633 | + | 0.00935445i | ||||
\(296\) | 8.17187e6 | + | 2.65520e6i | 0.315098 | + | 0.102382i | ||||
\(297\) | −2.29295e7 | + | 4.50017e7i | −0.875236 | + | 1.71775i | ||||
\(298\) | −5.64171e6 | + | 893560.i | −0.213188 | + | 0.0337656i | ||||
\(299\) | 2.39423e7 | − | 1.21992e7i | 0.895680 | − | 0.456372i | ||||
\(300\) | 7.19124e6 | − | 2.21324e7i | 0.266342 | − | 0.819717i | ||||
\(301\) | 2.74088e6 | − | 8.43557e6i | 0.100506 | − | 0.309325i | ||||
\(302\) | −1.38562e7 | + | 1.00671e7i | −0.503063 | + | 0.365497i | ||||
\(303\) | 393134. | − | 2.48215e6i | 0.0141323 | − | 0.0892279i | ||||
\(304\) | 5.57996e6i | 0.198614i | ||||||||
\(305\) | 2.51482e6 | − | 202919.i | 0.0886353 | − | 0.00715192i | ||||
\(306\) | −2.41043e6 | −0.0841260 | ||||||||
\(307\) | −4.66460e7 | − | 7.38800e6i | −1.61213 | − | 0.255336i | −0.715661 | − | 0.698448i | \(-0.753874\pi\) |
−0.896466 | + | 0.443113i | \(0.853874\pi\) | |||||||
\(308\) | 2.70283e7 | + | 3.72012e7i | 0.925052 | + | 1.27322i | ||||
\(309\) | −1.74640e7 | − | 5.67440e6i | −0.591928 | − | 0.192329i | ||||
\(310\) | −2.68824e6 | − | 873462.i | −0.0902366 | − | 0.0293197i | ||||
\(311\) | −1.63909e7 | − | 3.21690e7i | −0.544906 | − | 1.06944i | −0.985172 | − | 0.171571i | \(-0.945116\pi\) |
0.440266 | − | 0.897868i | \(-0.354884\pi\) | |||||||
\(312\) | −935238. | − | 5.90486e6i | −0.0307934 | − | 0.194422i | ||||
\(313\) | 3.78164e7 | + | 1.92684e7i | 1.23324 | + | 0.628366i | 0.944333 | − | 0.328991i | \(-0.106709\pi\) |
0.288905 | + | 0.957358i | \(0.406709\pi\) | |||||||
\(314\) | 5.70690e6 | − | 1.75640e7i | 0.184336 | − | 0.567329i | ||||
\(315\) | −895545. | − | 456303.i | −0.0286520 | − | 0.0145989i | ||||
\(316\) | 3.34399e7 | − | 3.34399e7i | 1.05975 | − | 1.05975i | ||||
\(317\) | −1.13711e7 | − | 3.49966e7i | −0.356964 | − | 1.09862i | −0.954862 | − | 0.297050i | \(-0.903997\pi\) |
0.597898 | − | 0.801572i | \(-0.296003\pi\) | |||||||
\(318\) | 8.53257e6 | 0.265338 | ||||||||
\(319\) | 8.25763e7i | 2.54380i | ||||||||
\(320\) | −1.37726e6 | − | 4.23878e6i | −0.0420307 | − | 0.129357i | ||||
\(321\) | 1.90306e6 | + | 1.38265e6i | 0.0575356 | + | 0.0418020i | ||||
\(322\) | 2.50855e7 | + | 4.92330e7i | 0.751371 | + | 1.47465i | ||||
\(323\) | 534050. | − | 1.04813e6i | 0.0158480 | − | 0.0311034i | ||||
\(324\) | 2.09880e6 | + | 2.88875e6i | 0.0617073 | + | 0.0849328i | ||||
\(325\) | −1.59068e7 | − | 1.15570e7i | −0.463377 | − | 0.336663i | ||||
\(326\) | 2.77807e7 | − | 2.77807e7i | 0.801844 | − | 0.801844i | ||||
\(327\) | −7.53435e6 | + | 5.47403e6i | −0.215478 | + | 0.156554i | ||||
\(328\) | −1.15121e7 | + | 5.86573e6i | −0.326238 | + | 0.166227i | ||||
\(329\) | −4.34856e6 | − | 2.74557e7i | −0.122112 | − | 0.770984i | ||||
\(330\) | 4.82251e6 | + | 3.50376e6i | 0.134193 | + | 0.0974972i | ||||
\(331\) | 3.82786e7 | + | 6.06274e6i | 1.05553 | + | 0.167180i | 0.659996 | − | 0.751269i | \(-0.270558\pi\) |
0.395538 | + | 0.918450i | \(0.370558\pi\) | |||||||
\(332\) | −6.86430e7 | + | 2.23035e7i | −1.87578 | + | 0.609478i | ||||
\(333\) | −2.11271e6 | + | 1.33391e7i | −0.0572146 | + | 0.361239i | ||||
\(334\) | −7.00699e7 | + | 7.00699e7i | −1.88058 | + | 1.88058i | ||||
\(335\) | −882281. | − | 5.57050e6i | −0.0234678 | − | 0.148170i | ||||
\(336\) | −8.06303e6 | + | 1.27706e6i | −0.212560 | + | 0.0336661i | ||||
\(337\) | 850223. | + | 850223.i | 0.0222148 | + | 0.0222148i | 0.718127 | − | 0.695912i | \(-0.245000\pi\) |
−0.695912 | + | 0.718127i | \(0.745000\pi\) | |||||||
\(338\) | 3.89343e7 | + | 6.16658e6i | 1.00828 | + | 0.159696i | ||||
\(339\) | −3.79893e6 | − | 1.16919e7i | −0.0975129 | − | 0.300114i | ||||
\(340\) | −69334.0 | + | 437758.i | −0.00176404 | + | 0.0111377i | ||||
\(341\) | −3.06214e7 | + | 4.21467e7i | −0.772256 | + | 1.06292i | ||||
\(342\) | 1.30450e7 | − | 2.06613e6i | 0.326112 | − | 0.0516510i | ||||
\(343\) | −1.83625e7 | − | 3.60385e7i | −0.455040 | − | 0.893067i | ||||
\(344\) | −6.61580e6 | − | 9.10587e6i | −0.162520 | − | 0.223690i | ||||
\(345\) | 2.90473e6 | + | 2.90473e6i | 0.0707372 | + | 0.0707372i | ||||
\(346\) | 5.30437e6 | − | 7.30084e6i | 0.128058 | − | 0.176256i | ||||
\(347\) | 2.73922e7 | − | 1.99016e7i | 0.655600 | − | 0.476321i | −0.209574 | − | 0.977793i | \(-0.567208\pi\) |
0.865174 | + | 0.501471i | \(0.167208\pi\) | |||||||
\(348\) | 4.40137e7 | + | 2.24261e7i | 1.04436 | + | 0.532128i | ||||
\(349\) | 2.67352e7 | − | 1.36223e7i | 0.628937 | − | 0.320459i | −0.110307 | − | 0.993898i | \(-0.535183\pi\) |
0.739244 | + | 0.673438i | \(0.235183\pi\) | |||||||
\(350\) | 2.37649e7 | − | 3.27095e7i | 0.554282 | − | 0.762904i | ||||
\(351\) | 2.42779e7 | − | 7.88835e6i | 0.561421 | − | 0.182417i | ||||
\(352\) | −1.10961e8 | −2.54416 | ||||||||
\(353\) | 7.17775e7i | 1.63179i | 0.578201 | + | 0.815894i | \(0.303755\pi\) | ||||
−0.578201 | + | 0.815894i | \(0.696245\pi\) | |||||||
\(354\) | 4.92805e6 | − | 1.60122e6i | 0.111088 | − | 0.0360946i | ||||
\(355\) | 2.89281e6 | + | 2.89281e6i | 0.0646599 | + | 0.0646599i | ||||
\(356\) | −2.78982e7 | + | 5.47533e7i | −0.618338 | + | 1.21356i | ||||
\(357\) | 1.63677e6 | + | 531820.i | 0.0359736 | + | 0.0116885i | ||||
\(358\) | 9.56486e6 | − | 1.87721e7i | 0.208463 | − | 0.409132i | ||||
\(359\) | 7.55788e7 | − | 1.19705e7i | 1.63349 | − | 0.258719i | 0.728781 | − | 0.684747i | \(-0.240087\pi\) |
0.904710 | + | 0.426028i | \(0.140087\pi\) | |||||||
\(360\) | −1.13643e6 | + | 579040.i | −0.0243577 | + | 0.0124108i | ||||
\(361\) | 1.25462e7 | − | 3.86131e7i | 0.266679 | − | 0.820755i | ||||
\(362\) | −7.95166e6 | + | 2.44727e7i | −0.167622 | + | 0.515889i | ||||
\(363\) | 6.38805e7 | − | 4.64119e7i | 1.33551 | − | 0.970307i | ||||
\(364\) | 3.63570e6 | − | 2.29549e7i | 0.0753849 | − | 0.475961i | ||||
\(365\) | − | 5.90614e6i | − | 0.121458i | ||||||
\(366\) | −3.69452e7 | − | 3.14282e7i | −0.753554 | − | 0.641026i | ||||
\(367\) | 1.71586e7 | 0.347124 | 0.173562 | − | 0.984823i | \(-0.444472\pi\) | ||||
0.173562 | + | 0.984823i | \(0.444472\pi\) | |||||||
\(368\) | −4.59886e7 | − | 7.28387e6i | −0.922798 | − | 0.146157i | ||||
\(369\) | −1.19368e7 | − | 1.64295e7i | −0.237579 | − | 0.326999i | ||||
\(370\) | 4.11816e6 | + | 1.33807e6i | 0.0813014 | + | 0.0264164i | ||||
\(371\) | 8.08558e6 | + | 2.62716e6i | 0.158340 | + | 0.0514476i | ||||
\(372\) | 1.41483e7 | + | 2.77676e7i | 0.274837 | + | 0.539398i | ||||
\(373\) | −5.85488e6 | − | 3.69663e7i | −0.112821 | − | 0.712326i | −0.977647 | − | 0.210254i | \(-0.932571\pi\) |
0.864825 | − | 0.502073i | \(-0.167429\pi\) | |||||||
\(374\) | 1.26914e7 | + | 6.46659e6i | 0.242602 | + | 0.123612i | ||||
\(375\) | 1.86510e6 | − | 5.74018e6i | 0.0353677 | − | 0.108851i | ||||
\(376\) | −3.14304e7 | − | 1.60146e7i | −0.591270 | − | 0.301267i | ||||
\(377\) | 2.95119e7 | − | 2.95119e7i | 0.550773 | − | 0.550773i | ||||
\(378\) | 1.62209e7 | + | 4.99230e7i | 0.300331 | + | 0.924325i | ||||
\(379\) | −1.67013e7 | −0.306784 | −0.153392 | − | 0.988165i | \(-0.549020\pi\) | ||||
−0.153392 | + | 0.988165i | \(0.549020\pi\) | |||||||
\(380\) | − | 2.42853e6i | − | 0.0442581i | ||||||
\(381\) | −2.65273e6 | − | 8.16425e6i | −0.0479642 | − | 0.147619i | ||||
\(382\) | −9.41366e7 | − | 6.83943e7i | −1.68876 | − | 1.22696i | ||||
\(383\) | 3.34982e7 | + | 6.57439e7i | 0.596245 | + | 1.17020i | 0.970099 | + | 0.242710i | \(0.0780363\pi\) |
−0.373854 | + | 0.927488i | \(0.621964\pi\) | |||||||
\(384\) | −1.64886e7 | + | 3.23606e7i | −0.291198 | + | 0.571509i | ||||
\(385\) | 3.49107e6 | + | 4.80505e6i | 0.0611753 | + | 0.0842006i | ||||
\(386\) | −1.09827e8 | − | 7.97940e7i | −1.90962 | − | 1.38742i | ||||
\(387\) | 1.25095e7 | − | 1.25095e7i | 0.215828 | − | 0.215828i | ||||
\(388\) | 1.79266e7 | − | 1.30244e7i | 0.306903 | − | 0.222978i | ||||
\(389\) | −7.34974e7 | + | 3.74488e7i | −1.24860 | + | 0.636193i | −0.948216 | − | 0.317625i | \(-0.897115\pi\) |
−0.300384 | + | 0.953818i | \(0.597115\pi\) | |||||||
\(390\) | −471307. | − | 2.97572e6i | −0.00794530 | − | 0.0501646i | ||||
\(391\) | 7.94129e6 | + | 5.76969e6i | 0.132850 | + | 0.0965210i | ||||
\(392\) | −1.92981e7 | − | 3.05652e6i | −0.320374 | − | 0.0507422i | ||||
\(393\) | 1.92657e7 | − | 6.25981e6i | 0.317401 | − | 0.103130i | ||||
\(394\) | 1.81409e7 | − | 1.14537e8i | 0.296599 | − | 1.87265i | ||||
\(395\) | 4.31922e6 | − | 4.31922e6i | 0.0700833 | − | 0.0700833i | ||||
\(396\) | 1.43476e7 | + | 9.05874e7i | 0.231044 | + | 1.45875i | ||||
\(397\) | −8.81142e6 | + | 1.39559e6i | −0.140823 | + | 0.0223042i | −0.226448 | − | 0.974023i | \(-0.572711\pi\) |
0.0856248 | + | 0.996327i | \(0.472711\pi\) | |||||||
\(398\) | 4.26461e7 | + | 4.26461e7i | 0.676441 | + | 0.676441i | ||||
\(399\) | −9.31391e6 | − | 1.47518e6i | −0.146627 | − | 0.0232234i | ||||
\(400\) | 1.05282e7 | + | 3.24024e7i | 0.164503 | + | 0.506288i | ||||
\(401\) | −4.97517e6 | + | 3.14120e7i | −0.0771569 | + | 0.487150i | 0.918605 | + | 0.395178i | \(0.129317\pi\) |
−0.995762 | + | 0.0919719i | \(0.970683\pi\) | |||||||
\(402\) | −6.37321e7 | + | 8.77198e7i | −0.981026 | + | 1.35027i | ||||
\(403\) | 2.60065e7 | − | 4.11903e6i | 0.397344 | − | 0.0629331i | ||||
\(404\) | −5.62830e6 | − | 1.10462e7i | −0.0853559 | − | 0.167520i | ||||
\(405\) | 271089. | + | 373122.i | 0.00408081 | + | 0.00561676i | ||||
\(406\) | 6.06858e7 | + | 6.06858e7i | 0.906794 | + | 0.906794i | ||||
\(407\) | 4.69094e7 | − | 6.45652e7i | 0.695787 | − | 0.957669i | ||||
\(408\) | 1.76683e6 | − | 1.28368e6i | 0.0260145 | − | 0.0189006i | ||||
\(409\) | 7.61996e7 | + | 3.88256e7i | 1.11374 | + | 0.567477i | 0.911269 | − | 0.411812i | \(-0.135104\pi\) |
0.202468 | + | 0.979289i | \(0.435104\pi\) | |||||||
\(410\) | −5.80147e6 | + | 2.95600e6i | −0.0841756 | + | 0.0428896i | ||||
\(411\) | 2.40859e7 | − | 3.31514e7i | 0.346927 | − | 0.477504i | ||||
\(412\) | −8.61522e7 | + | 2.79925e7i | −1.23190 | + | 0.400268i | ||||
\(413\) | 5.16290e6 | 0.0732898 | ||||||||
\(414\) | 1.10211e8i | 1.55318i | ||||||||
\(415\) | −8.86618e6 | + | 2.88080e6i | −0.124049 | + | 0.0403059i | ||||
\(416\) | 3.96564e7 | + | 3.96564e7i | 0.550850 | + | 0.550850i | ||||
\(417\) | −3.66117e7 | + | 7.18546e7i | −0.504908 | + | 0.990938i | ||||
\(418\) | −7.42274e7 | − | 2.41180e7i | −1.01633 | − | 0.330226i | ||||
\(419\) | 6.47088e6 | − | 1.26998e7i | 0.0879674 | − | 0.172646i | −0.842831 | − | 0.538178i | \(-0.819113\pi\) |
0.930799 | + | 0.365532i | \(0.119113\pi\) | |||||||
\(420\) | 3.50922e6 | − | 555806.i | 0.0473656 | − | 0.00750197i | ||||
\(421\) | 4.30957e7 | − | 2.19583e7i | 0.577547 | − | 0.294275i | −0.140712 | − | 0.990051i | \(-0.544939\pi\) |
0.718259 | + | 0.695776i | \(0.244939\pi\) | |||||||
\(422\) | −3.07876e7 | + | 9.47546e7i | −0.409675 | + | 1.26085i | ||||
\(423\) | 1.71334e7 | − | 5.27312e7i | 0.226372 | − | 0.696701i | ||||
\(424\) | 8.72807e6 | − | 6.34131e6i | 0.114504 | − | 0.0831920i | ||||
\(425\) | 1.12359e6 | − | 7.09406e6i | 0.0146366 | − | 0.0924119i | ||||
\(426\) | − | 7.86503e7i | − | 1.01735i | ||||||
\(427\) | −2.53331e7 | − | 4.11571e7i | −0.325390 | − | 0.528641i | ||||
\(428\) | 1.16042e7 | 0.148008 | ||||||||
\(429\) | −5.48448e7 | − | 8.68656e6i | −0.694646 | − | 0.110021i | ||||
\(430\) | −3.33399e6 | − | 4.58884e6i | −0.0419333 | − | 0.0577162i | ||||
\(431\) | 9.22989e7 | + | 2.99897e7i | 1.15283 | + | 0.374577i | 0.822208 | − | 0.569187i | \(-0.192742\pi\) |
0.330620 | + | 0.943764i | \(0.392742\pi\) | |||||||
\(432\) | −4.20683e7 | − | 1.36688e7i | −0.521800 | − | 0.169543i | ||||
\(433\) | −6.10826e7 | − | 1.19881e8i | −0.752409 | − | 1.47669i | −0.874945 | − | 0.484222i | \(-0.839103\pi\) |
0.122536 | − | 0.992464i | \(-0.460897\pi\) | |||||||
\(434\) | 8.47002e6 | + | 5.34776e7i | 0.103613 | + | 0.654188i | ||||
\(435\) | 5.68497e6 | + | 2.89663e6i | 0.0690653 | + | 0.0351905i | ||||
\(436\) | −1.41969e7 | + | 4.36935e7i | −0.171290 | + | 0.527178i | ||||
\(437\) | −4.79230e7 | − | 2.44180e7i | −0.574249 | − | 0.292594i | ||||
\(438\) | −8.02887e7 | + | 8.02887e7i | −0.955503 | + | 0.955503i | ||||
\(439\) | −1.06805e7 | − | 3.28714e7i | −0.126241 | − | 0.388530i | 0.867884 | − | 0.496767i | \(-0.165479\pi\) |
−0.994125 | + | 0.108237i | \(0.965479\pi\) | |||||||
\(440\) | 7.53695e6 | 0.0884785 | ||||||||
\(441\) | − | 3.07105e7i | − | 0.358073i | ||||||
\(442\) | −2.22468e6 | − | 6.84685e6i | −0.0257632 | − | 0.0792911i | ||||
\(443\) | −1.36178e8 | − | 9.89389e7i | −1.56637 | − | 1.13804i | −0.930530 | − | 0.366217i | \(-0.880653\pi\) |
−0.635842 | − | 0.771819i | \(-0.719347\pi\) | |||||||
\(444\) | −2.16740e7 | − | 4.25376e7i | −0.247622 | − | 0.485986i | ||||
\(445\) | −3.60343e6 | + | 7.07213e6i | −0.0408918 | + | 0.0802547i | ||||
\(446\) | 5.77789e7 | + | 7.95258e7i | 0.651275 | + | 0.896403i | ||||
\(447\) | 6.58089e6 | + | 4.78129e6i | 0.0736821 | + | 0.0535332i | ||||
\(448\) | −6.03684e7 | + | 6.03684e7i | −0.671391 | + | 0.671391i | ||||
\(449\) | 3.61612e7 | − | 2.62726e7i | 0.399488 | − | 0.290245i | −0.369844 | − | 0.929094i | \(-0.620589\pi\) |
0.769332 | + | 0.638849i | \(0.220589\pi\) | |||||||
\(450\) | 7.18531e7 | − | 3.66110e7i | 0.788511 | − | 0.401767i | ||||
\(451\) | 1.87730e7 | + | 1.18528e8i | 0.204646 | + | 1.29209i | ||||
\(452\) | −4.90635e7 | − | 3.56467e7i | −0.531304 | − | 0.386015i | ||||
\(453\) | 2.40902e7 | + | 3.81552e6i | 0.259147 | + | 0.0410449i | ||||
\(454\) | 1.24574e8 | − | 4.04765e7i | 1.33125 | − | 0.432549i | ||||
\(455\) | 469601. | − | 2.96494e6i | 0.00498534 | − | 0.0314762i | ||||
\(456\) | −8.46160e6 | + | 8.46160e6i | −0.0892397 | + | 0.0892397i | ||||
\(457\) | 9.56346e6 | + | 6.03813e7i | 0.100200 | + | 0.632636i | 0.985766 | + | 0.168123i | \(0.0537706\pi\) |
−0.885566 | + | 0.464513i | \(0.846229\pi\) | |||||||
\(458\) | 2.28590e8 | − | 3.62051e7i | 2.37936 | − | 0.376854i | ||||
\(459\) | 6.59382e6 | + | 6.59382e6i | 0.0681866 | + | 0.0681866i | ||||
\(460\) | 2.00153e7 | + | 3.17011e6i | 0.205631 | + | 0.0325688i | ||||
\(461\) | −2.18361e7 | − | 6.72047e7i | −0.222881 | − | 0.685957i | −0.998500 | − | 0.0547556i | \(-0.982562\pi\) |
0.775619 | − | 0.631202i | \(-0.217438\pi\) | |||||||
\(462\) | 1.78623e7 | − | 1.12778e8i | 0.181139 | − | 1.14367i | ||||
\(463\) | −6.11021e7 | + | 8.40998e7i | −0.615621 | + | 0.847329i | −0.997025 | − | 0.0770793i | \(-0.975441\pi\) |
0.381404 | + | 0.924408i | \(0.375441\pi\) | |||||||
\(464\) | −7.14293e7 | + | 1.13133e7i | −0.715027 | + | 0.113249i | ||||
\(465\) | 1.82744e6 | + | 3.58656e6i | 0.0181754 | + | 0.0356713i | ||||
\(466\) | 1.93734e7 | + | 2.66652e7i | 0.191447 | + | 0.263504i | ||||
\(467\) | 1.30075e8 | + | 1.30075e8i | 1.27715 | + | 1.27715i | 0.942255 | + | 0.334895i | \(0.108701\pi\) |
0.334895 | + | 0.942255i | \(0.391299\pi\) | |||||||
\(468\) | 2.72473e7 | − | 3.75026e7i | 0.265819 | − | 0.365868i | ||||
\(469\) | −8.74022e7 | + | 6.35014e7i | −0.847235 | + | 0.615552i | ||||
\(470\) | −1.58391e7 | − | 8.07044e6i | −0.152559 | − | 0.0777327i | ||||
\(471\) | −2.34333e7 | + | 1.19399e7i | −0.224270 | + | 0.114271i | ||||
\(472\) | 3.85095e6 | − | 5.30038e6i | 0.0366220 | − | 0.0504059i | ||||
\(473\) | −9.94251e7 | + | 3.23052e7i | −0.939534 | + | 0.305273i | ||||
\(474\) | −1.17432e8 | −1.10268 | ||||||||
\(475\) | 3.93554e7i | 0.367218i | ||||||||
\(476\) | 8.07441e6 | − | 2.62353e6i | 0.0748669 | − | 0.0243257i | ||||
\(477\) | 1.19905e7 | + | 1.19905e7i | 0.110480 | + | 0.110480i | ||||
\(478\) | 3.47954e7 | − | 6.82899e7i | 0.318595 | − | 0.625278i | ||||
\(479\) | 1.10986e8 | + | 3.60615e7i | 1.00986 | + | 0.328124i | 0.766799 | − | 0.641887i | \(-0.221848\pi\) |
0.243062 | + | 0.970011i | \(0.421848\pi\) | |||||||
\(480\) | −3.89234e6 | + | 7.63914e6i | −0.0351955 | + | 0.0690750i | ||||
\(481\) | −3.98398e7 | + | 6.31001e6i | −0.357999 | + | 0.0567015i | ||||
\(482\) | 5.40692e7 | − | 2.75496e7i | 0.482846 | − | 0.246023i | ||||
\(483\) | 2.43161e7 | − | 7.48371e7i | 0.215800 | − | 0.664165i | ||||
\(484\) | 1.20369e8 | − | 3.70458e8i | 1.06164 | − | 3.26740i | ||||
\(485\) | 2.31546e6 | − | 1.68228e6i | 0.0202961 | − | 0.0147460i | ||||
\(486\) | −2.67279e7 | + | 1.68753e8i | −0.232839 | + | 1.47009i | ||||
\(487\) | 2.20368e7i | 0.190793i | 0.995439 | + | 0.0953963i | \(0.0304118\pi\) | ||||
−0.995439 | + | 0.0953963i | \(0.969588\pi\) | |||||||
\(488\) | −6.11487e7 | − | 4.69100e6i | −0.526172 | − | 0.0403651i | ||||
\(489\) | −5.59491e7 | −0.478483 | ||||||||
\(490\) | −9.72516e6 | − | 1.54031e6i | −0.0826625 | − | 0.0130925i | ||||
\(491\) | −5.42667e7 | − | 7.46917e7i | −0.458447 | − | 0.630998i | 0.515739 | − | 0.856746i | \(-0.327517\pi\) |
−0.974186 | + | 0.225748i | \(0.927517\pi\) | |||||||
\(492\) | 6.82745e7 | + | 2.21837e7i | 0.573276 | + | 0.186269i | ||||
\(493\) | 1.45000e7 | + | 4.71132e6i | 0.121011 | + | 0.0393189i | ||||
\(494\) | 1.79086e7 | + | 3.51476e7i | 0.148553 | + | 0.291551i | ||||
\(495\) | 1.85319e6 | + | 1.17006e7i | 0.0152793 | + | 0.0964700i | ||||
\(496\) | −4.06525e7 | − | 2.07135e7i | −0.333152 | − | 0.169750i | ||||
\(497\) | 2.42163e7 | − | 7.45301e7i | 0.197260 | − | 0.607103i | ||||
\(498\) | 1.59690e8 | + | 8.13659e7i | 1.29297 | + | 0.658801i | ||||
\(499\) | 8.73388e7 | − | 8.73388e7i | 0.702920 | − | 0.702920i | −0.262116 | − | 0.965036i | \(-0.584420\pi\) |
0.965036 | + | 0.262116i | \(0.0844204\pi\) | |||||||
\(500\) | −9.20075e6 | − | 2.83170e7i | −0.0736060 | − | 0.226536i | ||||
\(501\) | 1.41118e8 | 1.12220 | ||||||||
\(502\) | − | 2.88003e8i | − | 2.27660i | ||||||
\(503\) | 2.59498e6 | + | 7.98654e6i | 0.0203906 | + | 0.0627559i | 0.960734 | − | 0.277471i | \(-0.0894962\pi\) |
−0.940343 | + | 0.340227i | \(0.889496\pi\) | |||||||
\(504\) | 1.97656e7 | + | 1.43606e7i | 0.154390 | + | 0.112171i | ||||
\(505\) | −726972. | − | 1.42676e6i | −0.00564473 | − | 0.0110784i | ||||
\(506\) | 2.95668e8 | − | 5.80280e8i | 2.28219 | − | 4.47905i | ||||
\(507\) | −3.29964e7 | − | 4.54156e7i | −0.253188 | − | 0.348483i | ||||
\(508\) | −3.42602e7 | − | 2.48915e7i | −0.261336 | − | 0.189872i | ||||
\(509\) | −8.27271e7 | + | 8.27271e7i | −0.627327 | + | 0.627327i | −0.947395 | − | 0.320067i | \(-0.896294\pi\) |
0.320067 | + | 0.947395i | \(0.396294\pi\) | |||||||
\(510\) | 890384. | − | 646902.i | 0.00671223 | − | 0.00487672i | ||||
\(511\) | −1.00803e8 | + | 5.13619e7i | −0.755462 | + | 0.384927i | ||||
\(512\) | −2.11476e7 | − | 1.33521e8i | −0.157562 | − | 0.994807i | ||||
\(513\) | −4.13371e7 | − | 3.00331e7i | −0.306188 | − | 0.222458i | ||||
\(514\) | 3.60294e8 | + | 5.70650e7i | 2.65319 | + | 0.420223i | ||||
\(515\) | −1.11277e7 | + | 3.61562e6i | −0.0814676 | + | 0.0264704i | ||||
\(516\) | −9.78303e6 | + | 6.17676e7i | −0.0712073 | + | 0.449585i | ||||
\(517\) | −2.31675e8 | + | 2.31675e8i | −1.67652 | + | 1.67652i | ||||
\(518\) | −1.29754e7 | − | 8.19233e7i | −0.0933535 | − | 0.589411i | ||||
\(519\) | −1.26932e7 | + | 2.01040e6i | −0.0907964 | + | 0.0143807i | ||||
\(520\) | −2.69362e6 | − | 2.69362e6i | −0.0191570 | − | 0.0191570i | ||||
\(521\) | −1.61017e8 | − | 2.55025e7i | −1.13856 | − | 0.180331i | −0.441447 | − | 0.897287i | \(-0.645535\pi\) |
−0.697118 | + | 0.716956i | \(0.745535\pi\) | |||||||
\(522\) | 5.28972e7 | + | 1.62801e8i | 0.371895 | + | 1.14458i | ||||
\(523\) | −3.41094e7 | + | 2.15358e8i | −0.238434 | + | 1.50541i | 0.520283 | + | 0.853994i | \(0.325826\pi\) |
−0.758717 | + | 0.651420i | \(0.774174\pi\) | |||||||
\(524\) | 5.87381e7 | − | 8.08460e7i | 0.408250 | − | 0.561908i | ||||
\(525\) | −5.68685e7 | + | 9.00709e6i | −0.393001 | + | 0.0622453i | ||||
\(526\) | 1.55950e7 | + | 3.06068e7i | 0.107159 | + | 0.210311i | ||||
\(527\) | 5.65365e6 | + | 7.78158e6i | 0.0386275 | + | 0.0531663i | ||||
\(528\) | 6.80370e7 | + | 6.80370e7i | 0.462214 | + | 0.462214i | ||||
\(529\) | 1.76790e8 | − | 2.43331e8i | 1.19424 | − | 1.64373i | ||||
\(530\) | 4.39845e6 | − | 3.19566e6i | 0.0295442 | − | 0.0214651i | ||||
\(531\) | 9.17536e6 | + | 4.67508e6i | 0.0612829 | + | 0.0312252i | ||||
\(532\) | −4.14491e7 | + | 2.11194e7i | −0.275283 | + | 0.140264i | ||||
\(533\) | 3.56514e7 | − | 4.90699e7i | 0.235448 | − | 0.324066i | ||||
\(534\) | 1.45125e8 | − | 4.71539e7i | 0.953054 | − | 0.309666i | ||||
\(535\) | 1.49884e6 | 0.00978802 | ||||||||
\(536\) | 1.37095e8i | 0.890279i | ||||||||
\(537\) | −2.85347e7 | + | 9.27149e6i | −0.184268 | + | 0.0598724i | ||||
\(538\) | 2.30433e8 | + | 2.30433e8i | 1.47978 | + | 1.47978i | ||||
\(539\) | −8.23887e7 | + | 1.61697e8i | −0.526140 | + | 1.03261i | ||||
\(540\) | 1.83091e7 | + | 5.94899e6i | 0.116275 | + | 0.0377800i | ||||
\(541\) | −7.48758e7 | + | 1.46952e8i | −0.472879 | + | 0.928077i | 0.524193 | + | 0.851600i | \(0.324367\pi\) |
−0.997071 | + | 0.0764769i | \(0.975633\pi\) | |||||||
\(542\) | −4.44448e8 | + | 7.03937e7i | −2.79141 | + | 0.442116i | ||||
\(543\) | 3.26507e7 | − | 1.66363e7i | 0.203935 | − | 0.103910i | ||||
\(544\) | −6.33081e6 | + | 1.94842e7i | −0.0393244 | + | 0.121028i | ||||
\(545\) | −1.83372e6 | + | 5.64361e6i | −0.0113277 | + | 0.0348632i | ||||
\(546\) | −4.66895e7 | + | 3.39219e7i | −0.286841 | + | 0.208402i | ||||
\(547\) | −3.10923e7 | + | 1.96309e8i | −0.189973 | + | 1.19944i | 0.689784 | + | 0.724015i | \(0.257706\pi\) |
−0.879756 | + | 0.475425i | \(0.842294\pi\) | |||||||
\(548\) | − | 2.02147e8i | − | 1.22836i | ||||||
\(549\) | −7.75284e6 | − | 9.60826e7i | −0.0468537 | − | 0.580668i | ||||
\(550\) | −4.76539e8 | −2.86424 | ||||||||
\(551\) | −8.25106e7 | − | 1.30684e7i | −0.493236 | − | 0.0781210i | ||||
\(552\) | −5.86928e7 | − | 8.07838e7i | −0.348954 | − | 0.480294i | ||||
\(553\) | −1.11280e8 | − | 3.61571e7i | −0.658024 | − | 0.213805i | ||||
\(554\) | 2.37359e7 | + | 7.71227e6i | 0.139597 | + | 0.0453579i | ||||
\(555\) | −2.79949e6 | − | 5.49431e6i | −0.0163757 | − | 0.0321391i | ||||
\(556\) | 6.22341e7 | + | 3.92930e8i | 0.362079 | + | 2.28608i | ||||
\(557\) | 1.28887e8 | + | 6.56710e7i | 0.745834 | + | 0.380021i | 0.785232 | − | 0.619202i | \(-0.212544\pi\) |
−0.0393976 | + | 0.999224i | \(0.512544\pi\) | |||||||
\(558\) | −3.33720e7 | + | 1.02709e8i | −0.192079 | + | 0.591158i | ||||
\(559\) | 4.70790e7 | + | 2.39879e7i | 0.269520 | + | 0.137328i | ||||
\(560\) | −3.67812e6 | + | 3.67812e6i | −0.0209441 | + | 0.0209441i | ||||
\(561\) | −6.26825e6 | − | 1.92917e7i | −0.0355024 | − | 0.109265i | ||||
\(562\) | 1.18231e8 | 0.666072 | ||||||||
\(563\) | 1.22711e8i | 0.687637i | 0.939036 | + | 0.343819i | \(0.111721\pi\) | ||||
−0.939036 | + | 0.343819i | \(0.888279\pi\) | |||||||
\(564\) | 6.05659e7 | + | 1.86403e8i | 0.337591 | + | 1.03900i | ||||
\(565\) | −6.33722e6 | − | 4.60426e6i | −0.0351361 | − | 0.0255279i | ||||
\(566\) | −1.55017e8 | − | 3.04239e8i | −0.854931 | − | 1.67790i | ||||
\(567\) | 4.01079e6 | − | 7.87162e6i | 0.0220030 | − | 0.0431832i | ||||
\(568\) | −5.84521e7 | − | 8.04524e7i | −0.318974 | − | 0.439030i | ||||
\(569\) | −7.31745e7 | − | 5.31644e7i | −0.397213 | − | 0.288592i | 0.371192 | − | 0.928556i | \(-0.378949\pi\) |
−0.768405 | + | 0.639964i | \(0.778949\pi\) | |||||||
\(570\) | −4.26417e6 | + | 4.26417e6i | −0.0230255 | + | 0.0230255i | ||||
\(571\) | 2.41972e8 | − | 1.75803e8i | 1.29974 | − | 0.944316i | 0.299786 | − | 0.954007i | \(-0.403085\pi\) |
0.999953 | + | 0.00969105i | \(0.00308481\pi\) | |||||||
\(572\) | −2.44072e8 | + | 1.24361e8i | −1.30416 | + | 0.664502i | ||||
\(573\) | 2.59220e7 | + | 1.63665e8i | 0.137786 | + | 0.869946i | ||||
\(574\) | 1.00903e8 | + | 7.33105e7i | 0.533543 | + | 0.387642i | ||||
\(575\) | −3.24357e8 | − | 5.13731e7i | −1.70616 | − | 0.270229i | ||||
\(576\) | −1.61949e8 | + | 5.26205e7i | −0.847445 | + | 0.275352i | ||||
\(577\) | −1.57550e7 | + | 9.94730e7i | −0.0820144 | + | 0.517819i | 0.912142 | + | 0.409873i | \(0.134427\pi\) |
−0.994157 | + | 0.107945i | \(0.965573\pi\) | |||||||
\(578\) | −2.07218e8 | + | 2.07218e8i | −1.07311 | + | 1.07311i | ||||
\(579\) | 3.02426e7 | + | 1.90944e8i | 0.155806 | + | 0.983720i | ||||
\(580\) | 3.10877e7 | − | 4.92381e6i | 0.159333 | − | 0.0252358i | ||||
\(581\) | 1.26272e8 | + | 1.26272e8i | 0.643839 | + | 0.643839i | ||||
\(582\) | −5.43457e7 | − | 8.60751e6i | −0.275674 | − | 0.0436625i | ||||
\(583\) | −3.09648e7 | − | 9.53000e7i | −0.156266 | − | 0.480936i | ||||
\(584\) | −2.24586e7 | + | 1.41798e8i | −0.112757 | + | 0.711920i | ||||
\(585\) | 3.51935e6 | − | 4.84398e6i | 0.0175791 | − | 0.0241955i | ||||
\(586\) | 5.47216e7 | − | 8.66705e6i | 0.271936 | − | 0.0430704i | ||||
\(587\) | −1.45754e8 | − | 2.86058e8i | −0.720618 | − | 1.41429i | −0.902376 | − | 0.430949i | \(-0.858179\pi\) |
0.181758 | − | 0.983343i | \(-0.441821\pi\) | |||||||
\(588\) | 6.38103e7 | + | 8.78274e7i | 0.313877 | + | 0.432014i | ||||
\(589\) | −3.72671e7 | − | 3.72671e7i | −0.182381 | − | 0.182381i | ||||
\(590\) | 1.94066e6 | − | 2.67109e6i | 0.00944918 | − | 0.0130057i | ||||
\(591\) | −1.33604e8 | + | 9.70688e7i | −0.647227 | + | 0.470238i | ||||
\(592\) | 6.22763e7 | + | 3.17314e7i | 0.300163 | + | 0.152941i | ||||
\(593\) | −2.23636e8 | + | 1.13948e8i | −1.07245 | + | 0.546441i | −0.898797 | − | 0.438366i | \(-0.855557\pi\) |
−0.173654 | + | 0.984807i | \(0.555557\pi\) | |||||||
\(594\) | 3.63659e8 | − | 5.00534e8i | 1.73514 | − | 2.38822i | ||||
\(595\) | 1.04292e6 | − | 338865.i | 0.00495108 | − | 0.00160870i | ||||
\(596\) | 4.01281e7 | 0.189544 | ||||||||
\(597\) | − | 8.58875e7i | − | 0.403652i | ||||||
\(598\) | −3.13054e8 | + | 1.01717e8i | −1.46392 | + | 0.475655i | ||||
\(599\) | −9.92529e7 | − | 9.92529e7i | −0.461809 | − | 0.461809i | 0.437439 | − | 0.899248i | \(-0.355886\pi\) |
−0.899248 | + | 0.437439i | \(0.855886\pi\) | |||||||
\(600\) | −3.31707e7 | + | 6.51011e7i | −0.153568 | + | 0.301394i | ||||
\(601\) | 9.45764e7 | + | 3.07297e7i | 0.435672 | + | 0.141558i | 0.518638 | − | 0.854994i | \(-0.326439\pi\) |
−0.0829661 | + | 0.996552i | \(0.526439\pi\) | |||||||
\(602\) | −4.93268e7 | + | 9.68093e7i | −0.226096 | + | 0.443739i | ||||
\(603\) | −2.12830e8 | + | 3.37090e7i | −0.970691 | + | 0.153742i | ||||
\(604\) | 1.07207e8 | − | 5.46248e7i | 0.486534 | − | 0.247902i | ||||
\(605\) | 1.55473e7 | − | 4.78497e7i | 0.0702084 | − | 0.216079i | ||||
\(606\) | −9.51303e6 | + | 2.92781e7i | −0.0427465 | + | 0.131560i | ||||
\(607\) | 2.32240e8 | − | 1.68732e8i | 1.03841 | − | 0.754452i | 0.0684385 | − | 0.997655i | \(-0.478198\pi\) |
0.969975 | + | 0.243204i | \(0.0781983\pi\) | |||||||
\(608\) | 1.75606e7 | − | 1.10873e8i | 0.0781319 | − | 0.493305i | ||||
\(609\) | − | 1.22219e8i | − | 0.541110i | ||||||
\(610\) | −3.08155e7 | − | 2.36400e6i | −0.135762 | − | 0.0104150i | ||||
\(611\) | 1.65596e8 | 0.725985 | ||||||||
\(612\) | 1.67252e7 | + | 2.64902e6i | 0.0729656 | + | 0.0115566i | ||||
\(613\) | 3.89971e7 | + | 5.36749e7i | 0.169298 | + | 0.233018i | 0.885232 | − | 0.465149i | \(-0.153999\pi\) |
−0.715935 | + | 0.698167i | \(0.753999\pi\) | |||||||
\(614\) | 5.50210e8 | + | 1.78774e8i | 2.37697 | + | 0.772324i | ||||
\(615\) | 8.81859e6 | + | 2.86533e6i | 0.0379117 | + | 0.0123183i | ||||
\(616\) | −6.55440e7 | − | 1.28637e8i | −0.280408 | − | 0.550332i | ||||
\(617\) | −5.48445e7 | − | 3.46275e8i | −0.233495 | − | 1.47423i | −0.774159 | − | 0.632991i | \(-0.781827\pi\) |
0.540664 | − | 0.841238i | \(-0.318173\pi\) | |||||||
\(618\) | 2.00423e8 | + | 1.02120e8i | 0.849144 | + | 0.432660i | ||||
\(619\) | 5.24028e6 | − | 1.61279e7i | 0.0220944 | − | 0.0679996i | −0.939401 | − | 0.342819i | \(-0.888618\pi\) |
0.961496 | + | 0.274820i | \(0.0886181\pi\) | |||||||
\(620\) | 1.76929e7 | + | 9.01501e6i | 0.0742378 | + | 0.0378260i | ||||
\(621\) | 3.01485e8 | − | 3.01485e8i | 1.25890 | − | 1.25890i | ||||
\(622\) | 1.36668e8 | + | 4.20620e8i | 0.567931 | + | 1.74791i | ||||
\(623\) | 1.52041e8 | 0.628776 | ||||||||
\(624\) | − | 4.86314e7i | − | 0.200153i | ||||||
\(625\) | 7.36586e7 | + | 2.26698e8i | 0.301706 | + | 0.928555i | ||||
\(626\) | −4.20615e8 | − | 3.05595e8i | −1.71460 | − | 1.24573i | ||||
\(627\) | 5.04592e7 | + | 9.90318e7i | 0.204709 | + | 0.401765i | ||||
\(628\) | −5.89009e7 | + | 1.15600e8i | −0.237817 | + | 0.466742i | ||||
\(629\) | −8.66092e6 | − | 1.19207e7i | −0.0348027 | − | 0.0479017i | ||||
\(630\) | 9.96075e6 | + | 7.23691e6i | 0.0398355 | + | 0.0289422i | ||||
\(631\) | −2.75294e7 | + | 2.75294e7i | −0.109574 | + | 0.109574i | −0.759768 | − | 0.650194i | \(-0.774688\pi\) |
0.650194 | + | 0.759768i | \(0.274688\pi\) | |||||||
\(632\) | −1.20122e8 | + | 8.72741e7i | −0.475853 | + | 0.345728i | ||||
\(633\) | 1.26418e8 | − | 6.44134e7i | 0.498425 | − | 0.253960i | ||||
\(634\) | 7.05147e7 | + | 4.45213e8i | 0.276702 | + | 1.74703i | ||||
\(635\) | −4.42517e6 | − | 3.21508e6i | −0.0172826 | − | 0.0125565i | ||||
\(636\) | −5.92049e7 | − | 9.37713e6i | −0.230137 | − | 0.0364501i | ||||
\(637\) | 8.72336e7 | − | 2.83439e7i | 0.337494 | − | 0.109658i | ||||
\(638\) | 1.58240e8 | − | 9.99087e8i | 0.609332 | − | 3.84717i | ||||
\(639\) | 1.10524e8 | − | 1.10524e8i | 0.423600 | − | 0.423600i | ||||
\(640\) | 3.62018e6 | + | 2.28569e7i | 0.0138099 | + | 0.0871923i | ||||
\(641\) | −1.59893e7 | + | 2.53245e6i | −0.0607092 | + | 0.00961540i | −0.186715 | − | 0.982414i | \(-0.559784\pi\) |
0.126006 | + | 0.992029i | \(0.459784\pi\) | |||||||
\(642\) | −2.03754e7 | − | 2.03754e7i | −0.0770020 | − | 0.0770020i | ||||
\(643\) | 2.06708e8 | + | 3.27393e7i | 0.777542 | + | 0.123151i | 0.532577 | − | 0.846381i | \(-0.321224\pi\) |
0.244965 | + | 0.969532i | \(0.421224\pi\) | |||||||
\(644\) | −1.19954e8 | − | 3.69181e8i | −0.449115 | − | 1.38223i | ||||
\(645\) | −1.26361e6 | + | 7.97813e6i | −0.00470906 | + | 0.0297319i | ||||
\(646\) | −8.46996e6 | + | 1.16579e7i | −0.0314184 | + | 0.0432437i | ||||
\(647\) | 2.07204e8 | − | 3.28179e7i | 0.765043 | − | 0.121171i | 0.238295 | − | 0.971193i | \(-0.423411\pi\) |
0.526747 | + | 0.850022i | \(0.323411\pi\) | |||||||
\(648\) | −5.08963e6 | − | 9.98895e6i | −0.0187051 | − | 0.0367109i | ||||
\(649\) | −3.57680e7 | − | 4.92304e7i | −0.130846 | − | 0.180094i | ||||
\(650\) | 1.70310e8 | + | 1.70310e8i | 0.620154 | + | 0.620154i | ||||
\(651\) | 4.53217e7 | − | 6.23800e7i | 0.164272 | − | 0.226101i | ||||
\(652\) | −2.23292e8 | + | 1.62231e8i | −0.805620 | + | 0.585317i | ||||
\(653\) | −2.22151e8 | − | 1.13192e8i | −0.797827 | − | 0.406513i | 0.00703470 | − | 0.999975i | \(-0.497761\pi\) |
−0.804862 | + | 0.593462i | \(0.797761\pi\) | |||||||
\(654\) | 1.01648e8 | − | 5.17920e7i | 0.363382 | − | 0.185153i | ||||
\(655\) | 7.58682e6 | − | 1.04424e7i | 0.0269983 | − | 0.0371599i | ||||
\(656\) | −9.99559e7 | + | 3.24777e7i | −0.354076 | + | 0.115046i | ||||
\(657\) | −2.25654e8 | −0.795694 | ||||||||
\(658\) | 3.40519e8i | 1.19526i | ||||||||
\(659\) | 2.04386e8 | − | 6.64090e7i | 0.714158 | − | 0.232044i | 0.0706697 | − | 0.997500i | \(-0.477486\pi\) |
0.643489 | + | 0.765456i | \(0.277486\pi\) | |||||||
\(660\) | −2.96113e7 | − | 2.96113e7i | −0.102997 | − | 0.102997i | ||||
\(661\) | −1.50201e8 | + | 2.94787e8i | −0.520079 | + | 1.02071i | 0.470322 | + | 0.882495i | \(0.344138\pi\) |
−0.990402 | + | 0.138219i | \(0.955862\pi\) | |||||||
\(662\) | −4.51513e8 | − | 1.46706e8i | −1.55631 | − | 0.505676i | ||||
\(663\) | −4.65443e6 | + | 9.13484e6i | −0.0159708 | + | 0.0313444i | ||||
\(664\) | 2.23819e8 | − | 3.54494e7i | 0.764525 | − | 0.121089i | ||||
\(665\) | −5.35371e6 | + | 2.72785e6i | −0.0182050 | + | 0.00927590i | ||||
\(666\) | 5.11232e7 | − | 1.57341e8i | 0.173059 | − | 0.532622i | ||||
\(667\) | 2.15413e8 | − | 6.62972e8i | 0.725928 | − | 2.23418i | ||||
\(668\) | 5.63199e8 | − | 4.09188e8i | 1.88944 | − | 1.37276i | ||||
\(669\) | 2.18987e7 | − | 1.38263e8i | 0.0731375 | − | 0.461772i | ||||
\(670\) | 6.90879e7i | 0.229709i | ||||||||
\(671\) | −2.16945e8 | + | 5.26692e8i | −0.718096 | + | 1.74337i | ||||
\(672\) | 1.64231e8 | 0.541186 | ||||||||
\(673\) | 3.57038e8 | + | 5.65492e7i | 1.17130 | + | 0.185516i | 0.711618 | − | 0.702566i | \(-0.247963\pi\) |
0.459684 | + | 0.888082i | \(0.347963\pi\) | |||||||
\(674\) | −8.65754e6 | − | 1.19161e7i | −0.0282758 | − | 0.0389183i | ||||
\(675\) | −2.96707e8 | − | 9.64061e7i | −0.964755 | − | 0.313468i | ||||
\(676\) | −2.63376e8 | − | 8.55760e7i | −0.852581 | − | 0.277020i | ||||
\(677\) | 2.36892e8 | + | 4.64927e8i | 0.763458 | + | 1.49837i | 0.864030 | + | 0.503440i | \(0.167933\pi\) |
−0.100572 | + | 0.994930i | \(0.532067\pi\) | |||||||
\(678\) | 2.35580e7 | + | 1.48740e8i | 0.0755875 | + | 0.477241i | ||||
\(679\) | −4.88484e7 | − | 2.48895e7i | −0.156042 | − | 0.0795073i | ||||
\(680\) | 430014. | − | 1.32345e6i | 0.00136759 | − | 0.00420901i | ||||
\(681\) | −1.66202e8 | − | 8.46843e7i | −0.526254 | − | 0.268140i | ||||
\(682\) | 4.51252e8 | − | 4.51252e8i | 1.42254 | − | 1.42254i | ||||
\(683\) | 4.67578e7 | + | 1.43906e8i | 0.146755 | + | 0.451664i | 0.997232 | − | 0.0743465i | \(-0.0236871\pi\) |
−0.850478 | + | 0.526011i | \(0.823687\pi\) | |||||||
\(684\) | −9.27860e7 | −0.289944 | ||||||||
\(685\) | − | 2.61100e7i | − | 0.0812335i | ||||||
\(686\) | 1.53107e8 | + | 4.71216e8i | 0.474268 | + | 1.45965i | ||||
\(687\) | −2.66643e8 | − | 1.93727e8i | −0.822356 | − | 0.597477i | ||||
\(688\) | −4.15659e7 | − | 8.15777e7i | −0.127636 | − | 0.250499i | ||||
\(689\) | −2.29927e7 | + | 4.51257e7i | −0.0702962 | + | 0.137964i | ||||
\(690\) | −2.95779e7 | − | 4.07105e7i | −0.0900367 | − | 0.123925i | ||||
\(691\) | 3.67175e8 | + | 2.66768e8i | 1.11286 | + | 0.808537i | 0.983111 | − | 0.183010i | \(-0.0585842\pi\) |
0.129745 | + | 0.991547i | \(0.458584\pi\) | |||||||
\(692\) | −4.48289e7 | + | 4.48289e7i | −0.135282 | + | 0.135282i | ||||
\(693\) | 1.83585e8 | − | 1.33382e8i | 0.551615 | − | 0.400772i | ||||
\(694\) | −3.69555e8 | + | 1.88298e8i | −1.10561 | + | 0.563334i | ||||
\(695\) | 8.03838e6 | + | 5.07523e7i | 0.0239450 | + | 0.151183i | ||||
\(696\) | −1.25473e8 | − | 9.11616e7i | −0.372154 | − | 0.270386i | ||||
\(697\) | 2.18840e7 | + | 3.46608e6i | 0.0646290 | + | 0.0102362i | ||||
\(698\) | −3.49572e8 | + | 1.13583e8i | −1.02795 | + | 0.334000i | ||||
\(699\) | 7.34270e6 | − | 4.63600e7i | 0.0214993 | − | 0.135741i | ||||
\(700\) | −2.00844e8 | + | 2.00844e8i | −0.585551 | + | 0.585551i | ||||
\(701\) | −5.89297e6 | − | 3.72067e7i | −0.0171072 | − | 0.108011i | 0.977657 | − | 0.210206i | \(-0.0674134\pi\) |
−0.994764 | + | 0.102195i | \(0.967413\pi\) | |||||||
\(702\) | −3.08853e8 | + | 4.89175e7i | −0.892772 | + | 0.141401i | ||||
\(703\) | 5.70901e7 | + | 5.70901e7i | 0.164322 | + | 0.164322i | ||||
\(704\) | 9.93862e8 | + | 1.57412e8i | 2.84845 | + | 0.451150i | ||||
\(705\) | 7.82291e6 | + | 2.40764e7i | 0.0223255 | + | 0.0687108i | ||||
\(706\) | 1.37546e8 | − | 8.68432e8i | 0.390872 | − | 2.46787i | ||||
\(707\) | −1.80293e7 | + | 2.48153e7i | −0.0510178 | + | 0.0702200i | ||||
\(708\) | −3.59540e7 | + | 5.69455e6i | −0.101309 | + | 0.0160457i | ||||
\(709\) | −1.30012e8 | − | 2.55163e8i | −0.364791 | − | 0.715943i | 0.633539 | − | 0.773711i | \(-0.281602\pi\) |
−0.998330 | + | 0.0577680i | \(0.981602\pi\) | |||||||
\(710\) | −2.94565e7 | − | 4.05434e7i | −0.0823013 | − | 0.113278i | ||||
\(711\) | −1.65023e8 | − | 1.65023e8i | −0.459130 | − | 0.459130i | ||||
\(712\) | 1.13406e8 | − | 1.56089e8i | 0.314191 | − | 0.432447i | ||||
\(713\) | 3.55792e8 | − | 2.58498e8i | 0.981585 | − | 0.713163i | ||||
\(714\) | −1.87841e7 | − | 9.57099e6i | −0.0516055 | − | 0.0262943i | ||||
\(715\) | −3.15253e7 | + | 1.60629e7i | −0.0862463 | + | 0.0439447i | ||||
\(716\) | −8.69977e7 | + | 1.19742e8i | −0.237011 | + | 0.326218i | ||||
\(717\) | −1.03805e8 | + | 3.37282e7i | −0.281618 | + | 0.0915032i | ||||
\(718\) | −9.37363e8 | −2.53241 | ||||||||
\(719\) | 4.29621e8i | 1.15584i | 0.816093 | + | 0.577921i | \(0.196136\pi\) | ||||
−0.816093 | + | 0.577921i | \(0.803864\pi\) | |||||||
\(720\) | −9.86723e6 | + | 3.20606e6i | −0.0264361 | + | 0.00858962i | ||||
\(721\) | 1.58480e8 | + | 1.58480e8i | 0.422834 | + | 0.422834i | ||||
\(722\) | −2.25789e8 | + | 4.43137e8i | −0.599918 | + | 1.17741i | ||||
\(723\) | −8.21885e7 | − | 2.67047e7i | −0.217468 | − | 0.0706598i | ||||
\(724\) | 8.20691e7 | − | 1.61070e8i | 0.216254 | − | 0.424422i | ||||
\(725\) | −5.03790e8 | + | 7.97926e7i | −1.32201 | + | 0.209386i | ||||
\(726\) | −8.61825e8 | + | 4.39122e8i | −2.25221 | + | 1.14756i | ||||
\(727\) | 1.03032e8 | − | 3.17099e8i | 0.268144 | − | 0.825261i | −0.722809 | − | 0.691048i | \(-0.757149\pi\) |
0.990953 | − | 0.134213i | \(-0.0428506\pi\) | |||||||
\(728\) | −2.25489e7 | + | 6.93983e7i | −0.0584427 | + | 0.179868i | ||||
\(729\) | 2.21317e8 | − | 1.60796e8i | 0.571257 | − | 0.415043i | ||||
\(730\) | −1.13179e7 | + | 7.14581e7i | −0.0290935 | + | 0.183689i | ||||
\(731\) | 1.93016e7i | 0.0494131i | ||||||||
\(732\) | 2.21812e8 | + | 2.58672e8i | 0.565525 | + | 0.659503i | ||||
\(733\) | −4.82287e8 | −1.22460 | −0.612300 | − | 0.790626i | \(-0.709755\pi\) | ||||
−0.612300 | + | 0.790626i | \(0.709755\pi\) | |||||||
\(734\) | −2.07602e8 | − | 3.28809e7i | −0.524980 | − | 0.0831486i | ||||
\(735\) | 8.24197e6 | + | 1.13441e7i | 0.0207572 | + | 0.0285699i | ||||
\(736\) | 8.90865e8 | + | 2.89459e8i | 2.23449 | + | 0.726030i | ||||
\(737\) | 1.21102e9 | + | 3.93485e8i | 3.02517 | + | 0.982938i | ||||
\(738\) | 1.12939e8 | + | 2.21654e8i | 0.280979 | + | 0.551452i | ||||
\(739\) | 7.66393e6 | + | 4.83881e7i | 0.0189897 | + | 0.119896i | 0.995362 | − | 0.0961979i | \(-0.0306682\pi\) |
−0.976373 | + | 0.216094i | \(0.930668\pi\) | |||||||
\(740\) | −2.71041e7 | − | 1.38102e7i | −0.0668868 | − | 0.0340805i | ||||
\(741\) | 1.73593e7 | − | 5.34265e7i | 0.0426656 | − | 0.131311i | ||||
\(742\) | −9.27927e7 | − | 4.72802e7i | −0.227144 | − | 0.115736i | ||||
\(743\) | 4.04430e8 | − | 4.04430e8i | 0.986000 | − | 0.986000i | −0.0139029 | − | 0.999903i | \(-0.504426\pi\) |
0.999903 | + | 0.0139029i | \(0.00442558\pi\) | |||||||
\(744\) | −3.02361e7 | − | 9.30571e7i | −0.0734187 | − | 0.225960i | ||||
\(745\) | 5.18309e6 | 0.0125349 | ||||||||
\(746\) | 4.58473e8i | 1.10433i | ||||||||
\(747\) | 1.10065e8 | + | 3.38747e8i | 0.264052 | + | 0.812668i | ||||
\(748\) | −8.09550e7 | − | 5.88172e7i | −0.193437 | − | 0.140540i | ||||
\(749\) | −1.30345e7 | − | 2.55816e7i | −0.0310204 | − | 0.0608810i | ||||
\(750\) | −3.35655e7 | + | 6.58761e7i | −0.0795627 | + | 0.156151i | ||||
\(751\) | −2.80855e8 | − | 3.86564e8i | −0.663076 | − | 0.912645i | 0.336503 | − | 0.941683i | \(-0.390756\pi\) |
−0.999578 | + | 0.0290371i | \(0.990756\pi\) | |||||||
\(752\) | −2.32142e8 | − | 1.68661e8i | −0.545883 | − | 0.396607i | ||||
\(753\) | −2.90014e8 | + | 2.90014e8i | −0.679256 | + | 0.679256i | ||||
\(754\) | −4.13616e8 | + | 3.00510e8i | −0.964903 | + | 0.701043i | ||||
\(755\) | 1.38473e7 | − | 7.05554e6i | 0.0321754 | − | 0.0163942i | ||||
\(756\) | −5.76878e7 | − | 3.64226e8i | −0.133511 | − | 0.842958i | ||||
\(757\) | −8.25686e7 | − | 5.99896e7i | −0.190339 | − | 0.138289i | 0.488535 | − | 0.872544i | \(-0.337532\pi\) |
−0.678874 | + | 0.734255i | \(0.737532\pi\) | |||||||
\(758\) | 2.02069e8 | + | 3.20045e7i | 0.463971 | + | 0.0734859i | ||||
\(759\) | −8.82061e8 | + | 2.86599e8i | −2.01731 | + | 0.655465i | ||||
\(760\) | −1.19279e6 | + | 7.53095e6i | −0.00271720 | + | 0.0171557i | ||||
\(761\) | −3.64602e8 | + | 3.64602e8i | −0.827305 | + | 0.827305i | −0.987143 | − | 0.159839i | \(-0.948903\pi\) |
0.159839 | + | 0.987143i | \(0.448903\pi\) | |||||||
\(762\) | 1.64502e7 | + | 1.03862e8i | 0.0371797 | + | 0.234743i | ||||
\(763\) | 1.12269e8 | − | 1.77817e7i | 0.252748 | − | 0.0400313i | ||||
\(764\) | 5.78021e8 | + | 5.78021e8i | 1.29617 | + | 1.29617i | ||||
\(765\) | 2.16029e6 | + | 342157.i | 0.00482534 | + | 0.000764259i | ||||
\(766\) | −2.79309e8 | − | 8.59625e8i | −0.621439 | − | 1.91259i | ||||
\(767\) | −4.81132e6 | + | 3.03775e7i | −0.0106630 | + | 0.0673234i | ||||
\(768\) | −1.62356e6 | + | 2.23464e6i | −0.00358414 | + | 0.00493314i | ||||
\(769\) | 1.54494e8 | − | 2.44694e7i | 0.339728 | − | 0.0538076i | 0.0157604 | − | 0.999876i | \(-0.494983\pi\) |
0.323968 | + | 0.946068i | \(0.394983\pi\) | |||||||
\(770\) | −3.30305e7 | − | 6.48259e7i | −0.0723506 | − | 0.141996i | ||||
\(771\) | −3.05345e8 | − | 4.20272e8i | −0.666236 | − | 0.916995i | ||||
\(772\) | 6.74364e8 | + | 6.74364e8i | 1.46569 | + | 1.46569i | ||||
\(773\) | 1.39106e8 | − | 1.91463e8i | 0.301168 | − | 0.414522i | −0.631434 | − | 0.775430i | \(-0.717533\pi\) |
0.932601 | + | 0.360908i | \(0.117533\pi\) | |||||||
\(774\) | −1.75324e8 | + | 1.27380e8i | −0.378111 | + | 0.274714i | ||||
\(775\) | −2.86722e8 | − | 1.46092e8i | −0.615965 | − | 0.313850i | ||||
\(776\) | −6.19878e7 | + | 3.15844e7i | −0.132654 | + | 0.0675907i | ||||
\(777\) | −6.94291e7 | + | 9.55609e7i | −0.148006 | + | 0.203712i | ||||
\(778\) | 9.61005e8 | − | 3.12249e8i | 2.04074 | − | 0.663075i | ||||
\(779\) | −1.21405e8 | −0.256817 | ||||||||
\(780\) | 2.11655e7i | 0.0446011i | ||||||||
\(781\) | −8.78443e8 | + | 2.85423e8i | −1.84400 | + | 0.599151i | ||||
\(782\) | −8.50250e7 | − | 8.50250e7i | −0.177798 | − | 0.177798i | ||||
\(783\) | 3.00645e8 | − | 5.90049e8i | 0.626281 | − | 1.22914i | ||||
\(784\) | −1.51157e8 | − | 4.91139e7i | −0.313675 | − | 0.101919i | ||||
\(785\) | −7.60785e6 | + | 1.49313e7i | −0.0157273 | + | 0.0308665i | ||||
\(786\) | −2.45091e8 | + | 3.88186e7i | −0.504730 | + | 0.0799414i | ||||
\(787\) | −1.82427e8 | + | 9.29513e7i | −0.374253 | + | 0.190692i | −0.630992 | − | 0.775789i | \(-0.717352\pi\) |
0.256739 | + | 0.966481i | \(0.417352\pi\) | |||||||
\(788\) | −2.51748e8 | + | 7.74800e8i | −0.514502 | + | 1.58347i | ||||
\(789\) | 1.51167e7 | − | 4.65243e7i | 0.0307769 | − | 0.0947215i | ||||
\(790\) | −6.05349e7 | + | 4.39812e7i | −0.122779 | + | 0.0892043i | ||||
\(791\) | −2.34727e7 | + | 1.48201e8i | −0.0474280 | + | 0.299448i | ||||
\(792\) | − | 2.87961e8i | − | 0.579640i | ||||||
\(793\) | 2.65768e8 | − | 1.10700e8i | 0.532946 | − | 0.221988i | ||||
\(794\) | 1.09283e8 | 0.218319 | ||||||||
\(795\) | −7.64712e6 | − | 1.21118e6i | −0.0152194 | − | 0.00241051i | ||||
\(796\) | −2.49041e8 | − | 3.42775e8i | −0.493778 | − | 0.679627i | ||||
\(797\) | 5.44904e8 | + | 1.77050e8i | 1.07633 | + | 0.349721i | 0.792950 | − | 0.609287i | \(-0.208544\pi\) |
0.283380 | + | 0.959008i | \(0.408544\pi\) | |||||||
\(798\) | 1.09862e8 | + | 3.56962e7i | 0.216191 | + | 0.0702447i | ||||
\(799\) | 2.74629e7 | + | 5.38989e7i | 0.0538401 | + | 0.105667i | ||||
\(800\) | −1.07221e8 | − | 6.76965e8i | −0.209416 | − | 1.32220i | ||||
\(801\) | 2.70202e8 | + | 1.37675e8i | 0.525765 | + | 0.267890i | ||||
\(802\) | 1.20389e8 | − | 3.70518e8i | 0.233380 | − | 0.718268i | ||||
\(803\) | 1.18811e9 | + | 6.05373e8i | 2.29462 | + | 1.16917i | ||||
\(804\) | 5.38620e8 | − | 5.38620e8i | 1.03637 | − | 1.03637i | ||||
\(805\) | −1.54937e7 | − | 4.76847e7i | −0.0297008 | − | 0.0914096i | ||||
\(806\) | −3.22545e8 | −0.616006 | ||||||||
\(807\) | − | 4.64082e8i | − | 0.883027i | ||||||
\(808\) | 1.20282e7 | + | 3.70189e7i | 0.0228016 | + | 0.0701761i | ||||
\(809\) | 3.06835e8 | + | 2.22928e8i | 0.579507 | + | 0.421037i | 0.838546 | − | 0.544830i | \(-0.183406\pi\) |
−0.259039 | + | 0.965867i | \(0.583406\pi\) | |||||||
\(810\) | −2.56488e6 | − | 5.03387e6i | −0.00482628 | − | 0.00947211i | ||||
\(811\) | −2.55054e8 | + | 5.00572e8i | −0.478156 | + | 0.938434i | 0.518370 | + | 0.855156i | \(0.326539\pi\) |
−0.996526 | + | 0.0832777i | \(0.973461\pi\) | |||||||
\(812\) | −3.54387e8 | − | 4.87772e8i | −0.661927 | − | 0.911064i | ||||
\(813\) | 5.18435e8 | + | 3.76665e8i | 0.964768 | + | 0.700945i | ||||
\(814\) | −6.91280e8 | + | 6.91280e8i | −1.28168 | + | 1.28168i | ||||
\(815\) | −2.88412e7 | + | 2.09544e7i | −0.0532771 | + | 0.0387081i | ||||
\(816\) | 1.58287e7 | − | 8.06513e6i | 0.0291323 | − | 0.0148437i | ||||
\(817\) | −1.65446e7 | − | 1.04459e8i | −0.0303382 | − | 0.191548i | ||||
\(818\) | −8.47534e8 | − | 6.15769e8i | −1.54845 | − | 1.12501i | ||||
\(819\) | −1.13280e8 | − | 1.79419e7i | −0.206207 | − | 0.0326600i | ||||
\(820\) | 4.35032e7 | − | 1.41350e7i | 0.0789005 | − | 0.0256363i | ||||
\(821\) | 1.02699e8 | − | 6.48417e8i | 0.185583 | − | 1.17172i | −0.702379 | − | 0.711804i | \(-0.747879\pi\) |
0.887961 | − | 0.459919i | \(-0.152121\pi\) | |||||||
\(822\) | −3.54942e8 | + | 3.54942e8i | −0.639060 | + | 0.639060i | ||||
\(823\) | 3.07578e7 | + | 1.94197e8i | 0.0551767 | + | 0.348372i | 0.999796 | + | 0.0202036i | \(0.00643144\pi\) |
−0.944619 | + | 0.328169i | \(0.893569\pi\) | |||||||
\(824\) | 2.80909e8 | − | 4.44917e7i | 0.502093 | − | 0.0795238i | ||||
\(825\) | 4.79864e8 | + | 4.79864e8i | 0.854588 | + | 0.854588i | ||||
\(826\) | −6.24657e7 | − | 9.89360e6i | −0.110841 | − | 0.0175555i | ||||
\(827\) | −1.59920e8 | − | 4.92184e8i | −0.282740 | − | 0.870184i | −0.987067 | − | 0.160308i | \(-0.948751\pi\) |
0.704327 | − | 0.709876i | \(-0.251249\pi\) | |||||||
\(828\) | 1.21119e8 | − | 7.64717e8i | 0.213365 | − | 1.34713i | ||||
\(829\) | 2.97762e7 | − | 4.09834e7i | 0.0522643 | − | 0.0719356i | −0.782085 | − | 0.623172i | \(-0.785844\pi\) |
0.834349 | + | 0.551236i | \(0.185844\pi\) | |||||||
\(830\) | 1.12792e8 | − | 1.78645e7i | 0.197262 | − | 0.0312432i | ||||
\(831\) | −1.61355e7 | − | 3.16677e7i | −0.0281177 | − | 0.0551840i | ||||
\(832\) | −2.98938e8 | − | 4.11453e8i | −0.519053 | − | 0.714415i | ||||
\(833\) | 2.36925e7 | + | 2.36925e7i | 0.0409898 | + | 0.0409898i | ||||
\(834\) | 5.80658e8 | − | 7.99207e8i | 1.00097 | − | 1.37772i | ||||
\(835\) | 7.27448e7 | − | 5.28522e7i | 0.124952 | − | 0.0907828i | ||||
\(836\) | 4.88536e8 | + | 2.48922e8i | 0.836138 | + | 0.426033i | ||||
\(837\) | 3.72253e8 | − | 1.89673e8i | 0.634837 | − | 0.323466i | ||||
\(838\) | −1.02627e8 | + | 1.41255e8i | −0.174394 | + | 0.240033i | ||||
\(839\) | −3.89128e8 | + | 1.26435e8i | −0.658880 | + | 0.214083i | −0.619326 | − | 0.785134i | \(-0.712594\pi\) |
−0.0395545 | + | 0.999217i | \(0.512594\pi\) | |||||||
\(840\) | −1.11552e7 | −0.0188209 | ||||||||
\(841\) | − | 4.87895e8i | − | 0.820235i | ||||||
\(842\) | −5.63491e8 | + | 1.83089e8i | −0.943954 | + | 0.306709i | ||||
\(843\) | −1.19056e8 | − | 1.19056e8i | −0.198732 | − | 0.198732i | ||||
\(844\) | 3.17760e8 | − | 6.23638e8i | 0.528532 | − | 1.03730i | ||||
\(845\) | −3.40186e7 | − | 1.10533e7i | −0.0563827 | − | 0.0183199i | ||||
\(846\) | −3.08344e8 | + | 6.05160e8i | −0.509243 | + | 0.999445i | ||||
\(847\) | −9.51882e8 | + | 1.50763e8i | −1.56651 | + | 0.248111i | ||||
\(848\) | 7.81931e7 | − | 3.98414e7i | 0.128227 | − | 0.0653351i | ||||
\(849\) | −1.50263e8 | + | 4.62461e8i | −0.245544 | + | 0.755705i | ||||
\(850\) | −2.71885e7 | + | 8.36776e7i | −0.0442719 | + | 0.136255i | ||||
\(851\) | −5.45044e8 | + | 3.95998e8i | −0.884389 | + | 0.642546i | ||||
\(852\) | −8.64352e7 | + | 5.45730e8i | −0.139756 | + | 0.882388i | ||||
\(853\) | − | 5.26757e8i | − | 0.848718i | −0.905494 | − | 0.424359i | \(-0.860499\pi\) | ||
0.905494 | − | 0.424359i | \(-0.139501\pi\) | |||||||
\(854\) | 2.27635e8 | + | 5.46503e8i | 0.365481 | + | 0.877443i | ||||
\(855\) | −1.19846e7 | −0.0191745 | ||||||||
\(856\) | −3.59851e7 | − | 5.69947e6i | −0.0573721 | − | 0.00908685i | ||||
\(857\) | −1.46301e8 | − | 2.01366e8i | −0.232436 | − | 0.319921i | 0.676827 | − | 0.736142i | \(-0.263354\pi\) |
−0.909264 | + | 0.416221i | \(0.863354\pi\) | |||||||
\(858\) | 6.46919e8 | + | 2.10197e8i | 1.02421 | + | 0.332785i | ||||
\(859\) | −4.52690e8 | − | 1.47088e8i | −0.714202 | − | 0.232058i | −0.0706944 | − | 0.997498i | \(-0.522521\pi\) |
−0.643508 | + | 0.765440i | \(0.722521\pi\) | |||||||
\(860\) | 1.80905e7 | + | 3.55046e7i | 0.0284416 | + | 0.0558199i | ||||
\(861\) | −2.77853e7 | − | 1.75430e8i | −0.0435317 | − | 0.274849i | ||||
\(862\) | −1.05925e9 | − | 5.39715e8i | −1.65378 | − | 0.842642i | ||||
\(863\) | −3.14020e8 | + | 9.66453e8i | −0.488567 | + | 1.50366i | 0.338179 | + | 0.941082i | \(0.390189\pi\) |
−0.826747 | + | 0.562574i | \(0.809811\pi\) | |||||||
\(864\) | 7.92875e8 | + | 4.03990e8i | 1.22932 | + | 0.626368i | ||||
\(865\) | −5.79026e6 | + | 5.79026e6i | −0.00894643 | + | 0.00894643i | ||||
\(866\) | 5.09309e8 | + | 1.56749e9i | 0.784201 | + | 2.41352i | ||||
\(867\) | 4.17327e8 | 0.640353 | ||||||||
\(868\) | − | 3.80373e8i | − | 0.581635i | ||||||
\(869\) | 4.26162e8 | + | 1.31159e9i | 0.649405 | + | 1.99866i | ||||
\(870\) | −6.32314e7 | − | 4.59403e7i | −0.0960229 | − | 0.0697647i | ||||
\(871\) | −2.92179e8 | − | 5.73434e8i | −0.442176 | − | 0.867819i | ||||
\(872\) | 6.54852e7 | − | 1.28522e8i | 0.0987629 | − | 0.193833i | ||||
\(873\) | −6.42742e7 | − | 8.84658e7i | −0.0966037 | − | 0.132964i | ||||
\(874\) | 5.33027e8 | + | 3.87267e8i | 0.798389 | + | 0.580064i | ||||
\(875\) | −5.20903e7 | + | 5.20903e7i | −0.0777557 | + | 0.0777557i | ||||
\(876\) | 6.45334e8 | − | 4.68863e8i | 0.960003 | − | 0.697483i | ||||
\(877\) | 4.10270e8 | − | 2.09043e8i | 0.608234 | − | 0.309911i | −0.122610 | − | 0.992455i | \(-0.539126\pi\) |
0.730844 | + | 0.682544i | \(0.239126\pi\) | |||||||
\(878\) | 6.62326e7 | + | 4.18176e8i | 0.0978561 | + | 0.617839i | ||||
\(879\) | −6.38311e7 | − | 4.63760e7i | −0.0939865 | − | 0.0682852i | ||||
\(880\) | 6.05540e7 | + | 9.59080e6i | 0.0888576 | + | 0.0140737i | ||||
\(881\) | −6.25155e8 | + | 2.03125e8i | −0.914239 | + | 0.297054i | −0.728101 | − | 0.685469i | \(-0.759597\pi\) |
−0.186138 | + | 0.982524i | \(0.559597\pi\) | |||||||
\(882\) | −5.88502e7 | + | 3.71565e8i | −0.0857713 | + | 0.541539i | ||||
\(883\) | 3.19565e8 | − | 3.19565e8i | 0.464171 | − | 0.464171i | −0.435849 | − | 0.900020i | \(-0.643552\pi\) |
0.900020 | + | 0.435849i | \(0.143552\pi\) | |||||||
\(884\) | 7.91179e6 | + | 4.99531e7i | 0.0114530 | + | 0.0723112i | ||||
\(885\) | −4.64394e6 | + | 735528.i | −0.00669973 | + | 0.00106113i | ||||
\(886\) | 1.45801e9 | + | 1.45801e9i | 2.09633 | + | 2.09633i | ||||
\(887\) | −6.33592e8 | − | 1.00351e8i | −0.907902 | − | 0.143798i | −0.315018 | − | 0.949086i | \(-0.602011\pi\) |
−0.592884 | + | 0.805288i | \(0.702011\pi\) | |||||||
\(888\) | 4.63192e7 | + | 1.42556e8i | 0.0661488 | + | 0.203585i | ||||
\(889\) | −1.63906e7 | + | 1.03486e8i | −0.0233287 | + | 0.147291i | ||||
\(890\) | 5.71500e7 | − | 7.86602e7i | 0.0810674 | − | 0.111580i | ||||
\(891\) | −1.02845e8 | + | 1.62891e7i | −0.145396 | + | 0.0230284i | ||||
\(892\) | −3.13512e8 | − | 6.15303e8i | −0.441733 | − | 0.866950i | ||||
\(893\) | −1.94826e8 | − | 2.68156e8i | −0.273586 | − | 0.376558i | ||||
\(894\) | −7.04595e7 | − | 7.04595e7i | −0.0986114 | − | 0.0986114i | ||||
\(895\) | −1.12369e7 | + | 1.54663e7i | −0.0156740 | + | 0.0215734i | ||||
\(896\) | 3.58630e8 | − | 2.60560e8i | 0.498566 | − | 0.362229i | ||||
\(897\) | 4.17667e8 | + | 2.12812e8i | 0.578699 | + | 0.294862i | ||||
\(898\) | −4.87858e8 | + | 2.48576e8i | −0.673697 | + | 0.343266i | ||||
\(899\) | 4.01499e8 | − | 5.52616e8i | 0.552593 | − | 0.760579i | ||||
\(900\) | −5.38801e8 | + | 1.75067e8i | −0.739096 | + | 0.240147i | ||||
\(901\) | −1.85008e7 | −0.0252940 | ||||||||
\(902\) | − | 1.47004e9i | − | 2.00313i | ||||||
\(903\) | 1.47156e8 | − | 4.78139e7i | 0.199855 | − | 0.0649368i | ||||
\(904\) | 1.34639e8 | + | 1.34639e8i | 0.182250 | + | 0.182250i | ||||
\(905\) | 1.06003e7 | − | 2.08044e7i | 0.0143013 | − | 0.0280678i | ||||
\(906\) | −2.84155e8 | − | 9.23276e7i | −0.382095 | − | 0.124150i | ||||
\(907\) | −2.62867e8 | + | 5.15905e8i | −0.352301 | + | 0.691430i | −0.997353 | − | 0.0727087i | \(-0.976836\pi\) |
0.645052 | + | 0.764139i | \(0.276836\pi\) | |||||||
\(908\) | −9.08862e8 | + | 1.43950e8i | −1.21406 | + | 0.192288i | ||||
\(909\) | −5.45118e7 | + | 2.77751e7i | −0.0725769 | + | 0.0369798i | ||||
\(910\) | −1.13634e7 | + | 3.49728e7i | −0.0150793 | + | 0.0464094i | ||||
\(911\) | −7.20314e7 | + | 2.21690e8i | −0.0952723 | + | 0.293218i | −0.987325 | − | 0.158714i | \(-0.949265\pi\) |
0.892052 | + | 0.451932i | \(0.149265\pi\) | |||||||
\(912\) | −7.87503e7 | + | 5.72155e7i | −0.103817 | + | 0.0754274i | ||||
\(913\) | 3.29257e8 | − | 2.07884e9i | 0.432636 | − | 2.73155i | ||||
\(914\) | − | 7.48877e8i | − | 0.980781i | ||||||
\(915\) | 2.86501e7 | + | 3.34111e7i | 0.0373992 | + | 0.0436141i | ||||
\(916\) | −1.62590e9 | −2.11548 | ||||||||
\(917\) | −2.44203e8 | − | 3.86780e7i | −0.316697 | − | 0.0501598i | ||||
\(918\) | −6.71427e7 | − | 9.24140e7i | −0.0867902 | − | 0.119456i | ||||
\(919\) | 1.43229e9 | + | 4.65381e8i | 1.84538 | + | 0.599600i | 0.997599 | + | 0.0692526i | \(0.0220614\pi\) |
0.847780 | + | 0.530348i | \(0.177939\pi\) | |||||||
\(920\) | −6.05111e7 | − | 1.96613e7i | −0.0777091 | − | 0.0252492i | ||||
\(921\) | −3.74028e8 | − | 7.34072e8i | −0.478769 | − | 0.939636i | ||||
\(922\) | 1.35411e8 | + | 8.54951e8i | 0.172767 | + | 1.09081i | ||||
\(923\) | 4.15953e8 | + | 2.11939e8i | 0.528980 | + | 0.269529i | ||||
\(924\) | −2.47882e8 | + | 7.62903e8i | −0.314217 | + | 0.967060i | ||||
\(925\) | 4.39234e8 | + | 2.23801e8i | 0.554972 | + | 0.282772i | ||||
\(926\) | 9.00431e8 | − | 9.00431e8i | 1.13401 | − | 1.13401i | ||||
\(927\) | 1.38140e8 | + | 4.25153e8i | 0.173413 | + | 0.533710i | ||||
\(928\) | 1.45490e9 | 1.82049 | ||||||||
\(929\) | − | 5.89234e8i | − | 0.734920i | −0.930039 | − | 0.367460i | \(-0.880227\pi\) | ||
0.930039 | − | 0.367460i | \(-0.119773\pi\) | |||||||
\(930\) | −1.52373e7 | − | 4.68955e7i | −0.0189434 | − | 0.0583019i | ||||
\(931\) | −1.48530e8 | − | 1.07913e8i | −0.184062 | − | 0.133729i | ||||
\(932\) | −1.05122e8 | − | 2.06313e8i | −0.129851 | − | 0.254846i | ||||
\(933\) | 2.85934e8 | − | 5.61178e8i | 0.352064 | − | 0.690964i | ||||
\(934\) | −1.32451e9 | − | 1.82303e9i | −1.62560 | − | 2.23745i | ||||
\(935\) | −1.04564e7 | − | 7.59705e6i | −0.0127923 | − | 0.00929416i | ||||
\(936\) | −1.02914e8 | + | 1.02914e8i | −0.125501 | + | 0.125501i | ||||
\(937\) | 1.13898e9 | − | 8.27516e8i | 1.38451 | − | 1.00591i | 0.388068 | − | 0.921631i | \(-0.373142\pi\) |
0.996442 | − | 0.0842755i | \(-0.0268576\pi\) | |||||||
\(938\) | 1.17916e9 | − | 6.00813e8i | 1.42878 | − | 0.727999i | ||||
\(939\) | 1.15823e8 | + | 7.31278e8i | 0.139894 | + | 0.883254i | ||||
\(940\) | 1.01034e8 | + | 7.34052e7i | 0.121642 | + | 0.0883778i | ||||
\(941\) | 1.36634e9 | + | 2.16407e8i | 1.63979 | + | 0.259718i | 0.907123 | − | 0.420865i | \(-0.138273\pi\) |
0.732671 | + | 0.680583i | \(0.238273\pi\) | |||||||
\(942\) | 3.06399e8 | − | 9.95551e7i | 0.366551 | − | 0.119100i | ||||
\(943\) | 1.58477e8 | − | 1.00059e9i | 0.188987 | − | 1.19322i | ||||
\(944\) | 3.76844e7 | − | 3.76844e7i | 0.0447967 | − | 0.0447967i | ||||
\(945\) | −7.45117e6 | − | 4.70448e7i | −0.00882935 | − | 0.0557463i | ||||
\(946\) | 1.26485e9 | − | 2.00332e8i | 1.49405 | − | 0.236634i | ||||
\(947\) | −4.05342e8 | − | 4.05342e8i | −0.477279 | − | 0.477279i | 0.426981 | − | 0.904260i | \(-0.359577\pi\) |
−0.904260 | + | 0.426981i | \(0.859577\pi\) | |||||||
\(948\) | 8.14824e8 | + | 1.29055e8i | 0.956398 | + | 0.151479i | ||||
\(949\) | −2.08264e8 | − | 6.40971e8i | −0.243678 | − | 0.749963i | ||||
\(950\) | 7.54163e7 | − | 4.76159e8i | 0.0879618 | − | 0.555369i | ||||
\(951\) | 3.77313e8 | − | 5.19327e8i | 0.438692 | − | 0.603808i | ||||
\(952\) | −2.63276e7 | + | 4.16987e6i | −0.0305140 | + | 0.00483295i | ||||
\(953\) | 1.23223e7 | + | 2.41839e7i | 0.0142369 | + | 0.0279414i | 0.898015 | − | 0.439964i | \(-0.145009\pi\) |
−0.883779 | + | 0.467905i | \(0.845009\pi\) | |||||||
\(954\) | −1.22095e8 | − | 1.68050e8i | −0.140622 | − | 0.193550i | ||||
\(955\) | 7.46593e7 | + | 7.46593e7i | 0.0857183 | + | 0.0857183i | ||||
\(956\) | −3.16484e8 | + | 4.35603e8i | −0.362225 | + | 0.498560i | ||||
\(957\) | −1.16540e9 | + | 8.46716e8i | −1.32966 | + | 0.966055i | ||||
\(958\) | −1.27371e9 | − | 6.48987e8i | −1.44868 | − | 0.738142i | ||||
\(959\) | −4.45634e8 | + | 2.27062e8i | −0.505268 | + | 0.257447i | ||||
\(960\) | 4.57000e7 | − | 6.29007e7i | 0.0516538 | − | 0.0710954i | ||||
\(961\) | −4.34219e8 | + | 1.41086e8i | −0.489259 | + | 0.158970i | ||||
\(962\) | 4.94112e8 | 0.555009 | ||||||||
\(963\) | − | 5.72657e7i | − | 0.0641233i | ||||||
\(964\) | −4.05446e8 | + | 1.31737e8i | −0.452587 | + | 0.147054i | ||||
\(965\) | 8.71033e7 | + | 8.71033e7i | 0.0969287 | + | 0.0969287i | ||||
\(966\) | −4.37608e8 | + | 8.58855e8i | −0.485461 | + | 0.952770i | ||||
\(967\) | −7.79549e8 | − | 2.53291e8i | −0.862113 | − | 0.280117i | −0.155602 | − | 0.987820i | \(-0.549732\pi\) |
−0.706511 | + | 0.707702i | \(0.749732\pi\) | |||||||
\(968\) | −5.55221e8 | + | 1.08968e9i | −0.612124 | + | 1.20136i | ||||
\(969\) | 2.02683e7 | − | 3.21019e6i | 0.0222765 | − | 0.00352825i | ||||
\(970\) | −3.12384e7 | + | 1.59167e7i | −0.0342273 | + | 0.0174397i | ||||
\(971\) | −4.12196e8 | + | 1.26861e9i | −0.450242 | + | 1.38570i | 0.426389 | + | 0.904540i | \(0.359786\pi\) |
−0.876631 | + | 0.481163i | \(0.840214\pi\) | |||||||
\(972\) | 3.70914e8 | − | 1.14155e9i | 0.403900 | − | 1.24308i | ||||
\(973\) | 7.96313e8 | − | 5.78556e8i | 0.864461 | − | 0.628068i | ||||
\(974\) | 4.22288e7 | − | 2.66622e8i | 0.0457017 | − | 0.288549i | ||||
\(975\) | − | 3.42997e8i | − | 0.370063i | ||||||
\(976\) | −4.85316e8 | − | 1.15501e8i | −0.522006 | − | 0.124233i | ||||
\(977\) | −7.07375e8 | −0.758518 | −0.379259 | − | 0.925290i | \(-0.623821\pi\) | ||||
−0.379259 | + | 0.925290i | \(0.623821\pi\) | |||||||
\(978\) | 6.76926e8 | + | 1.07215e8i | 0.723644 | + | 0.114614i | ||||
\(979\) | −1.05332e9 | − | 1.44977e9i | −1.12257 | − | 1.54508i | ||||
\(980\) | 6.57871e7 | + | 2.13755e7i | 0.0698977 | + | 0.0227111i | ||||
\(981\) | 2.15623e8 | + | 7.00602e7i | 0.228396 | + | 0.0742103i | ||||
\(982\) | 5.13440e8 | + | 1.00768e9i | 0.542195 | + | 1.06412i | ||||
\(983\) | 2.92929e8 | + | 1.84948e9i | 0.308391 | + | 1.94710i | 0.320708 | + | 0.947178i | \(0.396079\pi\) |
−0.0123178 | + | 0.999924i | \(0.503921\pi\) | |||||||
\(984\) | −2.00826e8 | − | 1.02326e8i | −0.210782 | − | 0.107399i | ||||
\(985\) | −3.25167e7 | + | 1.00076e8i | −0.0340249 | + | 0.104718i | ||||
\(986\) | −1.66406e8 | − | 8.47881e7i | −0.173595 | − | 0.0884513i | ||||
\(987\) | 3.42895e8 | − | 3.42895e8i | 0.356624 | − | 0.356624i | ||||
\(988\) | −8.56356e7 | − | 2.63559e8i | −0.0887940 | − | 0.273280i | ||||
\(989\) | 8.82517e8 | 0.912293 | ||||||||
\(990\) | − | 1.45116e8i | − | 0.149558i | ||||||
\(991\) | 2.35426e8 | + | 7.24568e8i | 0.241899 | + | 0.744488i | 0.996131 | + | 0.0878805i | \(0.0280094\pi\) |
−0.754232 | + | 0.656608i | \(0.771991\pi\) | |||||||
\(992\) | 7.42574e8 | + | 5.39512e8i | 0.760685 | + | 0.552670i | ||||
\(993\) | 3.06935e8 | + | 6.02394e8i | 0.313472 | + | 0.615223i | ||||
\(994\) | −4.35813e8 | + | 8.55331e8i | −0.443753 | + | 0.870914i | ||||
\(995\) | −3.21670e7 | − | 4.42741e7i | −0.0326544 | − | 0.0449449i | ||||
\(996\) | −1.01862e9 | − | 7.40069e8i | −1.03094 | − | 0.749021i | ||||
\(997\) | −1.11284e9 | + | 1.11284e9i | −1.12291 | + | 1.12291i | −0.131612 | + | 0.991301i | \(0.542015\pi\) |
−0.991301 | + | 0.131612i | \(0.957985\pi\) | |||||||
\(998\) | −1.22408e9 | + | 8.89343e8i | −1.23145 | + | 0.894700i | ||||
\(999\) | −5.70261e8 | + | 2.90563e8i | −0.571975 | + | 0.291436i |
(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 | 61.7.j.a.8.4 | ✓ | 240 | |
61.23 | odd | 20 | inner | 61.7.j.a.23.4 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
61.7.j.a.8.4 | ✓ | 240 | 1.1 | even | 1 | trivial | |
61.7.j.a.23.4 | yes | 240 | 61.23 | odd | 20 | inner |