Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [13,7,Mod(2,13)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(13, base_ring=CyclotomicField(12))
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("13.2");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 13 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 13.f (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.99070308706\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 2.1 | ||
Character | \(\chi\) | \(=\) | 13.2 |
Dual form | 13.7.f.a.7.1 |
$q$-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 \(\left(\mathbb{Z}/13\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −14.0703 | − | 3.77014i | −1.75879 | − | 0.471267i | −0.772326 | − | 0.635227i | \(-0.780907\pi\) |
−0.986467 | + | 0.163960i | \(0.947573\pi\) | |||||||
\(3\) | −17.8024 | − | 30.8347i | −0.659350 | − | 1.14203i | −0.980784 | − | 0.195096i | \(-0.937498\pi\) |
0.321434 | − | 0.946932i | \(-0.395835\pi\) | |||||||
\(4\) | 128.335 | + | 74.0942i | 2.00523 | + | 1.15772i | ||||
\(5\) | −91.2022 | + | 91.2022i | −0.729618 | + | 0.729618i | −0.970544 | − | 0.240926i | \(-0.922549\pi\) |
0.240926 | + | 0.970544i | \(0.422549\pi\) | |||||||
\(6\) | 134.235 | + | 500.973i | 0.621460 | + | 2.31932i | ||||
\(7\) | 284.589 | − | 76.2554i | 0.829706 | − | 0.222319i | 0.181121 | − | 0.983461i | \(-0.442028\pi\) |
0.648585 | + | 0.761142i | \(0.275361\pi\) | |||||||
\(8\) | −867.158 | − | 867.158i | −1.69367 | − | 1.69367i | ||||
\(9\) | −269.354 | + | 466.535i | −0.369485 | + | 0.639966i | ||||
\(10\) | 1627.09 | − | 939.401i | 1.62709 | − | 0.939401i | ||||
\(11\) | −518.109 | + | 1933.61i | −0.389263 | + | 1.45275i | 0.442073 | + | 0.896979i | \(0.354243\pi\) |
−0.831336 | + | 0.555770i | \(0.812423\pi\) | |||||||
\(12\) | − | 5276.23i | − | 3.05338i | ||||||
\(13\) | −2114.15 | + | 597.648i | −0.962289 | + | 0.272029i | ||||
\(14\) | −4291.76 | −1.56405 | ||||||||
\(15\) | 4435.82 | + | 1188.57i | 1.31432 | + | 0.352170i | ||||
\(16\) | 4189.87 | + | 7257.08i | 1.02292 | + | 1.77175i | ||||
\(17\) | 1546.69 | + | 892.984i | 0.314816 | + | 0.181759i | 0.649080 | − | 0.760720i | \(-0.275154\pi\) |
−0.334263 | + | 0.942480i | \(0.608487\pi\) | |||||||
\(18\) | 5548.81 | − | 5548.81i | 0.951442 | − | 0.951442i | ||||
\(19\) | 1479.88 | + | 5523.00i | 0.215758 | + | 0.805220i | 0.985898 | + | 0.167345i | \(0.0535195\pi\) |
−0.770140 | + | 0.637875i | \(0.779814\pi\) | |||||||
\(20\) | −18462.0 | + | 4946.87i | −2.30775 | + | 0.618359i | ||||
\(21\) | −7417.70 | − | 7417.70i | −0.800961 | − | 0.800961i | ||||
\(22\) | 14579.9 | − | 25253.2i | 1.36927 | − | 2.37164i | ||||
\(23\) | −2626.58 | + | 1516.45i | −0.215877 | + | 0.124637i | −0.604040 | − | 0.796954i | \(-0.706443\pi\) |
0.388163 | + | 0.921591i | \(0.373110\pi\) | |||||||
\(24\) | −11301.1 | + | 42176.1i | −0.817496 | + | 3.05094i | ||||
\(25\) | − | 1010.68i | − | 0.0646837i | ||||||
\(26\) | 32000.0 | − | 438.474i | 1.82067 | − | 0.0249473i | ||||
\(27\) | −6775.31 | −0.344221 | ||||||||
\(28\) | 42172.8 | + | 11300.2i | 1.92114 | + | 0.514767i | ||||
\(29\) | −14059.7 | − | 24352.1i | −0.576477 | − | 0.998487i | −0.995879 | − | 0.0906865i | \(-0.971094\pi\) |
0.419403 | − | 0.907800i | \(-0.362239\pi\) | |||||||
\(30\) | −57932.4 | − | 33447.3i | −2.14564 | − | 1.23879i | ||||
\(31\) | −15990.4 | + | 15990.4i | −0.536752 | + | 0.536752i | −0.922573 | − | 0.385822i | \(-0.873918\pi\) |
0.385822 | + | 0.922573i | \(0.373918\pi\) | |||||||
\(32\) | −11279.1 | − | 42094.1i | −0.344210 | − | 1.28461i | ||||
\(33\) | 68846.0 | − | 18447.2i | 1.91574 | − | 0.513321i | ||||
\(34\) | −18395.8 | − | 18395.8i | −0.468040 | − | 0.468040i | ||||
\(35\) | −19000.5 | + | 32909.8i | −0.443160 | + | 0.767576i | ||||
\(36\) | −69135.1 | + | 39915.2i | −1.48181 | + | 0.855521i | ||||
\(37\) | −8297.74 | + | 30967.6i | −0.163815 | + | 0.611367i | 0.834373 | + | 0.551200i | \(0.185830\pi\) |
−0.998188 | + | 0.0601668i | \(0.980837\pi\) | |||||||
\(38\) | − | 83289.9i | − | 1.51789i | ||||||
\(39\) | 56065.3 | + | 54549.7i | 0.945150 | + | 0.919598i | ||||
\(40\) | 158173. | 2.47146 | ||||||||
\(41\) | −20896.3 | − | 5599.14i | −0.303192 | − | 0.0812399i | 0.104016 | − | 0.994576i | \(-0.466831\pi\) |
−0.407207 | + | 0.913336i | \(0.633497\pi\) | |||||||
\(42\) | 76403.8 | + | 132335.i | 1.03126 | + | 1.78619i | ||||
\(43\) | −11378.7 | − | 6569.51i | −0.143116 | − | 0.0826280i | 0.426732 | − | 0.904378i | \(-0.359665\pi\) |
−0.569848 | + | 0.821750i | \(0.692998\pi\) | |||||||
\(44\) | −209761. | + | 209761.i | −2.46244 | + | 2.46244i | ||||
\(45\) | −17983.3 | − | 67114.7i | −0.197348 | − | 0.736513i | ||||
\(46\) | 42674.1 | − | 11434.5i | 0.438420 | − | 0.117474i | ||||
\(47\) | −22393.2 | − | 22393.2i | −0.215686 | − | 0.215686i | 0.590992 | − | 0.806678i | \(-0.298737\pi\) |
−0.806678 | + | 0.590992i | \(0.798737\pi\) | |||||||
\(48\) | 149180. | − | 258387.i | 1.34892 | − | 2.33640i | ||||
\(49\) | −26710.9 | + | 15421.6i | −0.227039 | + | 0.131081i | ||||
\(50\) | −3810.41 | + | 14220.6i | −0.0304833 | + | 0.113765i | ||||
\(51\) | − | 63589.2i | − | 0.479372i | ||||||
\(52\) | −315601. | − | 79947.1i | −2.24455 | − | 0.568582i | ||||
\(53\) | 135916. | 0.912944 | 0.456472 | − | 0.889738i | \(-0.349113\pi\) | ||||
0.456472 | + | 0.889738i | \(0.349113\pi\) | |||||||
\(54\) | 95330.9 | + | 25543.8i | 0.605414 | + | 0.162220i | ||||
\(55\) | −129097. | − | 223602.i | −0.775938 | − | 1.34396i | ||||
\(56\) | −312909. | − | 180658.i | −1.78178 | − | 1.02871i | ||||
\(57\) | 143955. | − | 143955.i | 0.777323 | − | 0.777323i | ||||
\(58\) | 106014. | + | 395649.i | 0.543349 | + | 2.02781i | ||||
\(59\) | 41611.9 | − | 11149.9i | 0.202610 | − | 0.0542893i | −0.156086 | − | 0.987743i | \(-0.549888\pi\) |
0.358697 | + | 0.933454i | \(0.383221\pi\) | |||||||
\(60\) | 481204. | + | 481204.i | 2.22780 | + | 2.22780i | ||||
\(61\) | −74209.0 | + | 128534.i | −0.326939 | + | 0.566276i | −0.981903 | − | 0.189385i | \(-0.939351\pi\) |
0.654964 | + | 0.755660i | \(0.272684\pi\) | |||||||
\(62\) | 285276. | − | 164704.i | 1.19699 | − | 0.691081i | ||||
\(63\) | −41079.5 | + | 153311.i | −0.164287 | + | 0.613127i | ||||
\(64\) | 98498.1i | 0.375741i | ||||||||
\(65\) | 138308. | − | 247322.i | 0.503626 | − | 0.900580i | ||||
\(66\) | −1.03823e6 | −3.61130 | ||||||||
\(67\) | −440137. | − | 117934.i | −1.46340 | − | 0.392117i | −0.562738 | − | 0.826636i | \(-0.690252\pi\) |
−0.900663 | + | 0.434519i | \(0.856919\pi\) | |||||||
\(68\) | 132330. | + | 229202.i | 0.420854 | + | 0.728940i | ||||
\(69\) | 93519.0 | + | 53993.2i | 0.284677 | + | 0.164358i | ||||
\(70\) | 391418. | − | 391418.i | 1.14116 | − | 1.14116i | ||||
\(71\) | 111253. | + | 415201.i | 0.310839 | + | 1.16007i | 0.927801 | + | 0.373074i | \(0.121696\pi\) |
−0.616962 | + | 0.786993i | \(0.711637\pi\) | |||||||
\(72\) | 638132. | − | 170987.i | 1.70967 | − | 0.458106i | ||||
\(73\) | −160166. | − | 160166.i | −0.411720 | − | 0.411720i | 0.470618 | − | 0.882337i | \(-0.344031\pi\) |
−0.882337 | + | 0.470618i | \(0.844031\pi\) | |||||||
\(74\) | 233504. | − | 404441.i | 0.576234 | − | 0.998067i | ||||
\(75\) | −31164.1 | + | 17992.6i | −0.0738706 | + | 0.0426492i | ||||
\(76\) | −219302. | + | 818445.i | −0.499576 | + | 1.86444i | ||||
\(77\) | 589793.i | 1.29190i | ||||||||
\(78\) | −583199. | − | 978906.i | −1.22895 | − | 2.06280i | ||||
\(79\) | 812939. | 1.64883 | 0.824417 | − | 0.565983i | \(-0.191503\pi\) | ||||
0.824417 | + | 0.565983i | \(0.191503\pi\) | |||||||
\(80\) | −1.04399e6 | − | 279736.i | −2.03904 | − | 0.546358i | ||||
\(81\) | 316976. | + | 549019.i | 0.596447 | + | 1.03308i | ||||
\(82\) | 272908. | + | 157564.i | 0.494965 | + | 0.285768i | ||||
\(83\) | −475555. | + | 475555.i | −0.831699 | + | 0.831699i | −0.987749 | − | 0.156050i | \(-0.950124\pi\) |
0.156050 | + | 0.987749i | \(0.450124\pi\) | |||||||
\(84\) | −402341. | − | 1.50156e6i | −0.678824 | − | 2.53340i | ||||
\(85\) | −222504. | + | 59619.7i | −0.362310 | + | 0.0970808i | ||||
\(86\) | 135334. | + | 135334.i | 0.212771 | + | 0.212771i | ||||
\(87\) | −500594. | + | 867054.i | −0.760199 | + | 1.31670i | ||||
\(88\) | 2.12603e6 | − | 1.22746e6i | 3.11976 | − | 1.80119i | ||||
\(89\) | 339904. | − | 1.26854e6i | 0.482155 | − | 1.79943i | −0.110389 | − | 0.993888i | \(-0.535210\pi\) |
0.592544 | − | 0.805538i | \(-0.298124\pi\) | |||||||
\(90\) | 1.01213e6i | 1.38838i | ||||||||
\(91\) | −556090. | + | 331299.i | −0.737940 | + | 0.439639i | ||||
\(92\) | −449442. | −0.577179 | ||||||||
\(93\) | 777726. | + | 208391.i | 0.966892 | + | 0.259078i | ||||
\(94\) | 230654. | + | 399505.i | 0.277701 | + | 0.480992i | ||||
\(95\) | −638679. | − | 368741.i | −0.744924 | − | 0.430082i | ||||
\(96\) | −1.09717e6 | + | 1.09717e6i | −1.24011 | + | 1.24011i | ||||
\(97\) | −399838. | − | 1.49221e6i | −0.438095 | − | 1.63499i | −0.733549 | − | 0.679636i | \(-0.762138\pi\) |
0.295454 | − | 0.955357i | \(-0.404529\pi\) | |||||||
\(98\) | 433973. | − | 116283.i | 0.461089 | − | 0.123548i | ||||
\(99\) | −762542. | − | 762542.i | −0.785883 | − | 0.785883i | ||||
\(100\) | 74885.7 | − | 129706.i | 0.0748857 | − | 0.129706i | ||||
\(101\) | −382178. | + | 220651.i | −0.370939 | + | 0.214161i | −0.673868 | − | 0.738851i | \(-0.735369\pi\) |
0.302930 | + | 0.953013i | \(0.402035\pi\) | |||||||
\(102\) | −239740. | + | 894721.i | −0.225912 | + | 0.843116i | ||||
\(103\) | 673740.i | 0.616567i | 0.951295 | + | 0.308284i | \(0.0997546\pi\) | ||||
−0.951295 | + | 0.308284i | \(0.900245\pi\) | |||||||
\(104\) | 2.35156e6 | + | 1.31505e6i | 2.09052 | + | 1.16907i | ||||
\(105\) | 1.35302e6 | 1.16879 | ||||||||
\(106\) | −1.91239e6 | − | 512423.i | −1.60568 | − | 0.430241i | ||||
\(107\) | 451255. | + | 781596.i | 0.368358 | + | 0.638015i | 0.989309 | − | 0.145834i | \(-0.0465867\pi\) |
−0.620951 | + | 0.783849i | \(0.713253\pi\) | |||||||
\(108\) | −869509. | − | 502011.i | −0.690244 | − | 0.398513i | ||||
\(109\) | 550926. | − | 550926.i | 0.425416 | − | 0.425416i | −0.461647 | − | 0.887064i | \(-0.652741\pi\) |
0.887064 | + | 0.461647i | \(0.152741\pi\) | |||||||
\(110\) | 973425. | + | 3.63287e6i | 0.731348 | + | 2.72943i | ||||
\(111\) | 1.10260e6 | − | 295440.i | 0.806209 | − | 0.216023i | ||||
\(112\) | 1.74578e6 | + | 1.74578e6i | 1.24261 | + | 1.24261i | ||||
\(113\) | 451409. | − | 781863.i | 0.312849 | − | 0.541870i | −0.666129 | − | 0.745837i | \(-0.732050\pi\) |
0.978978 | + | 0.203966i | \(0.0653833\pi\) | |||||||
\(114\) | −2.56822e6 | + | 1.48276e6i | −1.73348 | + | 1.00082i | ||||
\(115\) | 101246. | − | 377854.i | 0.0665706 | − | 0.248445i | ||||
\(116\) | − | 4.16697e6i | − | 2.66960i | ||||||
\(117\) | 290631. | − | 1.14730e6i | 0.181462 | − | 0.716343i | ||||
\(118\) | −627530. | −0.381934 | ||||||||
\(119\) | 508267. | + | 136190.i | 0.301614 | + | 0.0808171i | ||||
\(120\) | −2.81587e6 | − | 4.87724e6i | −1.62956 | − | 2.82248i | ||||
\(121\) | −1.93619e6 | − | 1.11786e6i | −1.09293 | − | 0.631003i | ||||
\(122\) | 1.52874e6 | − | 1.52874e6i | 0.841886 | − | 0.841886i | ||||
\(123\) | 199357. | + | 744009.i | 0.107131 | + | 0.399819i | ||||
\(124\) | −3.23692e6 | + | 867329.i | −1.69772 | + | 0.454903i | ||||
\(125\) | −1.33286e6 | − | 1.33286e6i | −0.682423 | − | 0.682423i | ||||
\(126\) | 1.15600e6 | − | 2.00226e6i | 0.577893 | − | 1.00094i | ||||
\(127\) | −1.58068e6 | + | 912605.i | −0.771671 | + | 0.445524i | −0.833470 | − | 0.552564i | \(-0.813649\pi\) |
0.0617994 | + | 0.998089i | \(0.480316\pi\) | |||||||
\(128\) | −350510. | + | 1.30812e6i | −0.167136 | + | 0.623760i | ||||
\(129\) | 467813.i | 0.217923i | ||||||||
\(130\) | −2.87848e6 | + | 2.95846e6i | −1.31019 | + | 1.34659i | ||||
\(131\) | 1.92948e6 | 0.858277 | 0.429138 | − | 0.903239i | \(-0.358817\pi\) | ||||
0.429138 | + | 0.903239i | \(0.358817\pi\) | |||||||
\(132\) | 1.02022e7 | + | 2.73366e6i | 4.43579 | + | 1.18857i | ||||
\(133\) | 842318. | + | 1.45894e6i | 0.358032 | + | 0.620129i | ||||
\(134\) | 5.74825e6 | + | 3.31875e6i | 2.38903 | + | 1.37930i | ||||
\(135\) | 617923. | − | 617923.i | 0.251150 | − | 0.251150i | ||||
\(136\) | −566869. | − | 2.11559e6i | −0.225355 | − | 0.841035i | ||||
\(137\) | −2.16536e6 | + | 580208.i | −0.842111 | + | 0.225643i | −0.653990 | − | 0.756503i | \(-0.726906\pi\) |
−0.188121 | + | 0.982146i | \(0.560240\pi\) | |||||||
\(138\) | −1.11228e6 | − | 1.11228e6i | −0.423231 | − | 0.423231i | ||||
\(139\) | −1.90441e6 | + | 3.29853e6i | −0.709114 | + | 1.22822i | 0.256073 | + | 0.966658i | \(0.417571\pi\) |
−0.965186 | + | 0.261563i | \(0.915762\pi\) | |||||||
\(140\) | −4.87685e6 | + | 2.81565e6i | −1.77728 | + | 1.02611i | ||||
\(141\) | −291834. | + | 1.08914e6i | −0.104107 | + | 0.388532i | ||||
\(142\) | − | 6.26145e6i | − | 2.18681i | ||||||
\(143\) | −60257.1 | − | 4.39758e6i | −0.0206063 | − | 1.50386i | ||||
\(144\) | −4.51424e6 | −1.51181 | ||||||||
\(145\) | 3.50324e6 | + | 938690.i | 1.14912 | + | 0.307906i | ||||
\(146\) | 1.64974e6 | + | 2.85744e6i | 0.530100 | + | 0.918160i | ||||
\(147\) | 951039. | + | 549083.i | 0.299396 | + | 0.172857i | ||||
\(148\) | −3.35941e6 | + | 3.35941e6i | −1.03628 | + | 1.03628i | ||||
\(149\) | 1.29914e6 | + | 4.84845e6i | 0.392732 | + | 1.46570i | 0.825608 | + | 0.564244i | \(0.190832\pi\) |
−0.432876 | + | 0.901453i | \(0.642501\pi\) | |||||||
\(150\) | 506325. | − | 135669.i | 0.150022 | − | 0.0401983i | ||||
\(151\) | −1.29429e6 | − | 1.29429e6i | −0.375923 | − | 0.375923i | 0.493706 | − | 0.869629i | \(-0.335642\pi\) |
−0.869629 | + | 0.493706i | \(0.835642\pi\) | |||||||
\(152\) | 3.50602e6 | − | 6.07261e6i | 0.998353 | − | 1.72920i | ||||
\(153\) | −833217. | + | 481058.i | −0.232640 | + | 0.134315i | ||||
\(154\) | 2.22360e6 | − | 8.29859e6i | 0.608828 | − | 2.27218i | ||||
\(155\) | − | 2.91671e6i | − | 0.783247i | ||||||
\(156\) | 3.15333e6 | + | 1.11547e7i | 0.830606 | + | 2.93823i | ||||
\(157\) | 168653. | 0.0435807 | 0.0217904 | − | 0.999763i | \(-0.493063\pi\) | ||||
0.0217904 | + | 0.999763i | \(0.493063\pi\) | |||||||
\(158\) | −1.14383e7 | − | 3.06489e6i | −2.89996 | − | 0.777041i | ||||
\(159\) | −2.41964e6 | − | 4.19095e6i | −0.601950 | − | 1.04261i | ||||
\(160\) | 4.86775e6 | + | 2.81040e6i | 1.18842 | + | 0.686132i | ||||
\(161\) | −631857. | + | 631857.i | −0.151405 | + | 0.151405i | ||||
\(162\) | −2.39009e6 | − | 8.91993e6i | −0.562172 | − | 2.09805i | ||||
\(163\) | 6.10637e6 | − | 1.63620e6i | 1.41000 | − | 0.377810i | 0.528078 | − | 0.849196i | \(-0.322913\pi\) |
0.881927 | + | 0.471386i | \(0.156246\pi\) | |||||||
\(164\) | −2.26686e6 | − | 2.26686e6i | −0.513917 | − | 0.513917i | ||||
\(165\) | −4.59648e6 | + | 7.96133e6i | −1.02323 | + | 1.77229i | ||||
\(166\) | 8.48412e6 | − | 4.89831e6i | 1.85474 | − | 1.07083i | ||||
\(167\) | −1.22102e6 | + | 4.55691e6i | −0.262164 | + | 0.978410i | 0.701799 | + | 0.712375i | \(0.252380\pi\) |
−0.963963 | + | 0.266035i | \(0.914286\pi\) | |||||||
\(168\) | 1.28646e7i | 2.71312i | ||||||||
\(169\) | 4.11244e6 | − | 2.52703e6i | 0.852001 | − | 0.523541i | ||||
\(170\) | 3.35548e6 | 0.682980 | ||||||||
\(171\) | −2.97529e6 | − | 797226.i | −0.595033 | − | 0.159439i | ||||
\(172\) | −973525. | − | 1.68619e6i | −0.191321 | − | 0.331377i | ||||
\(173\) | −2.67944e6 | − | 1.54697e6i | −0.517494 | − | 0.298775i | 0.218415 | − | 0.975856i | \(-0.429911\pi\) |
−0.735909 | + | 0.677081i | \(0.763245\pi\) | |||||||
\(174\) | 1.03124e7 | − | 1.03124e7i | 1.95755 | − | 1.95755i | ||||
\(175\) | −77070.0 | − | 287629.i | −0.0143804 | − | 0.0536684i | ||||
\(176\) | −1.62032e7 | + | 4.34162e6i | −2.97209 | + | 0.796369i | ||||
\(177\) | −1.08460e6 | − | 1.08460e6i | −0.195591 | − | 0.195591i | ||||
\(178\) | −9.56514e6 | + | 1.65673e7i | −1.69602 | + | 2.93759i | ||||
\(179\) | 2.95727e6 | − | 1.70738e6i | 0.515623 | − | 0.297695i | −0.219519 | − | 0.975608i | \(-0.570449\pi\) |
0.735142 | + | 0.677913i | \(0.237116\pi\) | |||||||
\(180\) | 2.66492e6 | − | 9.94563e6i | 0.456948 | − | 1.70535i | ||||
\(181\) | 3.11821e6i | 0.525859i | 0.964815 | + | 0.262930i | \(0.0846887\pi\) | ||||
−0.964815 | + | 0.262930i | \(0.915311\pi\) | |||||||
\(182\) | 9.07342e6 | − | 2.56496e6i | 1.50507 | − | 0.425468i | ||||
\(183\) | 5.28441e6 | 0.862270 | ||||||||
\(184\) | 3.59266e6 | + | 962651.i | 0.576717 | + | 0.154531i | ||||
\(185\) | −2.06754e6 | − | 3.58108e6i | −0.326542 | − | 0.565587i | ||||
\(186\) | −1.01572e7 | − | 5.86427e6i | −1.57847 | − | 0.911329i | ||||
\(187\) | −2.52804e6 | + | 2.52804e6i | −0.386597 | + | 0.386597i | ||||
\(188\) | −1.21462e6 | − | 4.53303e6i | −0.182796 | − | 0.682205i | ||||
\(189\) | −1.92818e6 | + | 516654.i | −0.285603 | + | 0.0765270i | ||||
\(190\) | 7.59622e6 | + | 7.59622e6i | 1.10748 | + | 1.10748i | ||||
\(191\) | 5.01644e6 | − | 8.68872e6i | 0.719938 | − | 1.24697i | −0.241085 | − | 0.970504i | \(-0.577503\pi\) |
0.961024 | − | 0.276466i | \(-0.0891633\pi\) | |||||||
\(192\) | 3.03717e6 | − | 1.75351e6i | 0.429106 | − | 0.247745i | ||||
\(193\) | 844237. | − | 3.15074e6i | 0.117434 | − | 0.438268i | −0.882024 | − | 0.471205i | \(-0.843819\pi\) |
0.999457 | + | 0.0329365i | \(0.0104859\pi\) | |||||||
\(194\) | 2.25034e7i | 3.08207i | ||||||||
\(195\) | −1.00883e7 | + | 138233.i | −1.36055 | + | 0.0186427i | ||||
\(196\) | −4.57059e6 | −0.607022 | ||||||||
\(197\) | −4.75466e6 | − | 1.27401e6i | −0.621900 | − | 0.166638i | −0.0659086 | − | 0.997826i | \(-0.520995\pi\) |
−0.555991 | + | 0.831188i | \(0.687661\pi\) | |||||||
\(198\) | 7.85434e6 | + | 1.36041e7i | 1.01185 | + | 1.75257i | ||||
\(199\) | 1.06199e7 | + | 6.13141e6i | 1.34760 | + | 0.778039i | 0.987910 | − | 0.155032i | \(-0.0495479\pi\) |
0.359693 | + | 0.933071i | \(0.382881\pi\) | |||||||
\(200\) | −876421. | + | 876421.i | −0.109553 | + | 0.109553i | ||||
\(201\) | 4.19904e6 | + | 1.56710e7i | 0.517085 | + | 1.92979i | ||||
\(202\) | 6.20926e6 | − | 1.66377e6i | 0.753331 | − | 0.201855i | ||||
\(203\) | −5.85821e6 | − | 5.85821e6i | −0.700289 | − | 0.700289i | ||||
\(204\) | 4.71159e6 | − | 8.16071e6i | 0.554980 | − | 0.961253i | ||||
\(205\) | 2.41644e6 | − | 1.39513e6i | 0.280488 | − | 0.161940i | ||||
\(206\) | 2.54009e6 | − | 9.47974e6i | 0.290568 | − | 1.08441i | ||||
\(207\) | − | 1.63385e6i | − | 0.184205i | ||||||
\(208\) | −1.31952e7 | − | 1.28385e7i | −1.46631 | − | 1.42667i | ||||
\(209\) | −1.14461e7 | −1.25377 | ||||||||
\(210\) | −1.90375e7 | − | 5.10107e6i | −2.05566 | − | 0.550813i | ||||
\(211\) | 2.30135e6 | + | 3.98606e6i | 0.244983 | + | 0.424323i | 0.962127 | − | 0.272602i | \(-0.0878843\pi\) |
−0.717144 | + | 0.696925i | \(0.754551\pi\) | |||||||
\(212\) | 1.74428e7 | + | 1.00706e7i | 1.83067 | + | 1.05694i | ||||
\(213\) | 1.08220e7 | − | 1.08220e7i | 1.11988 | − | 1.11988i | ||||
\(214\) | −3.40258e6 | − | 1.26986e7i | −0.347190 | − | 1.29573i | ||||
\(215\) | 1.63692e6 | − | 438611.i | 0.164707 | − | 0.0441330i | ||||
\(216\) | 5.87526e6 | + | 5.87526e6i | 0.582997 | + | 0.582997i | ||||
\(217\) | −3.33133e6 | + | 5.77004e6i | −0.326016 | + | 0.564676i | ||||
\(218\) | −9.82879e6 | + | 5.67465e6i | −0.948704 | + | 0.547734i | ||||
\(219\) | −2.08733e6 | + | 7.79002e6i | −0.198728 | + | 0.741663i | ||||
\(220\) | − | 3.82613e7i | − | 3.59328i | ||||||
\(221\) | −3.80363e6 | − | 963523.i | −0.352388 | − | 0.0892659i | ||||
\(222\) | −1.66278e7 | −1.51976 | ||||||||
\(223\) | 1.62138e7 | + | 4.34447e6i | 1.46208 | + | 0.391762i | 0.900206 | − | 0.435464i | \(-0.143416\pi\) |
0.561869 | + | 0.827226i | \(0.310082\pi\) | |||||||
\(224\) | −6.41981e6 | − | 1.11194e7i | −0.571187 | − | 0.989324i | ||||
\(225\) | 471519. | + | 272232.i | 0.0413954 | + | 0.0238996i | ||||
\(226\) | −9.29921e6 | + | 9.29921e6i | −0.805602 | + | 0.805602i | ||||
\(227\) | −104400. | − | 389626.i | −0.00892530 | − | 0.0333097i | 0.961320 | − | 0.275435i | \(-0.0888220\pi\) |
−0.970245 | + | 0.242126i | \(0.922155\pi\) | |||||||
\(228\) | 2.91407e7 | − | 7.80822e6i | 2.45864 | − | 0.658790i | ||||
\(229\) | −3.04556e6 | − | 3.04556e6i | −0.253606 | − | 0.253606i | 0.568841 | − | 0.822447i | \(-0.307392\pi\) |
−0.822447 | + | 0.568841i | \(0.807392\pi\) | |||||||
\(230\) | −2.84912e6 | + | 4.93482e6i | −0.234168 | + | 0.405590i | ||||
\(231\) | 1.81861e7 | − | 1.04998e7i | 1.47538 | − | 0.851811i | ||||
\(232\) | −8.92514e6 | + | 3.33091e7i | −0.714745 | + | 2.66746i | ||||
\(233\) | 446782.i | 0.0353206i | 0.999844 | + | 0.0176603i | \(0.00562173\pi\) | ||||
−0.999844 | + | 0.0176603i | \(0.994378\pi\) | |||||||
\(234\) | −8.41478e6 | + | 1.50472e7i | −0.656742 | + | 1.17438i | ||||
\(235\) | 4.08461e6 | 0.314736 | ||||||||
\(236\) | 6.16640e6 | + | 1.65228e6i | 0.469133 | + | 0.125704i | ||||
\(237\) | −1.44723e7 | − | 2.50668e7i | −1.08716 | − | 1.88301i | ||||
\(238\) | −6.63804e6 | − | 3.83247e6i | −0.492389 | − | 0.284281i | ||||
\(239\) | −6.94208e6 | + | 6.94208e6i | −0.508506 | + | 0.508506i | −0.914068 | − | 0.405562i | \(-0.867076\pi\) |
0.405562 | + | 0.914068i | \(0.367076\pi\) | |||||||
\(240\) | 9.95995e6 | + | 3.71711e7i | 0.720483 | + | 2.68888i | ||||
\(241\) | −1.79684e7 | + | 4.81461e6i | −1.28368 | + | 0.343961i | −0.835257 | − | 0.549859i | \(-0.814681\pi\) |
−0.448424 | + | 0.893821i | \(0.648015\pi\) | |||||||
\(242\) | 2.30284e7 | + | 2.30284e7i | 1.62486 | + | 1.62486i | ||||
\(243\) | 8.81631e6 | − | 1.52703e7i | 0.614424 | − | 1.06421i | ||||
\(244\) | −1.90472e7 | + | 1.09969e7i | −1.31118 | + | 0.757010i | ||||
\(245\) | 1.02961e6 | − | 3.84257e6i | 0.0700126 | − | 0.261291i | ||||
\(246\) | − | 1.12201e7i | − | 0.753685i | ||||||
\(247\) | −6.42951e6 | − | 1.07920e7i | −0.426665 | − | 0.716162i | ||||
\(248\) | 2.77323e7 | 1.81816 | ||||||||
\(249\) | 2.31296e7 | + | 6.19757e6i | 1.49820 | + | 0.401442i | ||||
\(250\) | 1.37287e7 | + | 2.37788e7i | 0.878637 | + | 1.52184i | ||||
\(251\) | −2.24171e7 | − | 1.29425e7i | −1.41761 | − | 0.818460i | −0.421526 | − | 0.906816i | \(-0.638505\pi\) |
−0.996089 | + | 0.0883562i | \(0.971839\pi\) | |||||||
\(252\) | −1.66314e7 | + | 1.66314e7i | −1.03926 | + | 1.03926i | ||||
\(253\) | −1.57138e6 | − | 5.86446e6i | −0.0970329 | − | 0.362132i | ||||
\(254\) | 2.56813e7 | − | 6.88129e6i | 1.56717 | − | 0.419922i | ||||
\(255\) | 5.79947e6 | + | 5.79947e6i | 0.349758 | + | 0.349758i | ||||
\(256\) | 1.30155e7 | − | 2.25436e7i | 0.775786 | − | 1.34370i | ||||
\(257\) | −1.59072e7 | + | 9.18403e6i | −0.937118 | + | 0.541046i | −0.889056 | − | 0.457799i | \(-0.848638\pi\) |
−0.0480626 | + | 0.998844i | \(0.515305\pi\) | |||||||
\(258\) | 1.76372e6 | − | 6.58229e6i | 0.102700 | − | 0.383281i | ||||
\(259\) | 9.44578e6i | 0.543674i | ||||||||
\(260\) | 3.60749e7 | − | 2.14922e7i | 2.05251 | − | 1.22281i | ||||
\(261\) | 1.51481e7 | 0.851997 | ||||||||
\(262\) | −2.71485e7 | − | 7.27442e6i | −1.50953 | − | 0.404478i | ||||
\(263\) | 1.04516e7 | + | 1.81027e7i | 0.574534 | + | 0.995122i | 0.996092 | + | 0.0883210i | \(0.0281501\pi\) |
−0.421558 | + | 0.906802i | \(0.638517\pi\) | |||||||
\(264\) | −7.56970e7 | − | 4.37037e7i | −4.11402 | − | 2.37523i | ||||
\(265\) | −1.23959e7 | + | 1.23959e7i | −0.666100 | + | 0.666100i | ||||
\(266\) | −6.35131e6 | − | 2.37034e7i | −0.337457 | − | 1.25941i | ||||
\(267\) | −4.51662e7 | + | 1.21023e7i | −2.37290 | + | 0.635818i | ||||
\(268\) | −4.77467e7 | − | 4.77467e7i | −2.48050 | − | 2.48050i | ||||
\(269\) | 8.68622e6 | − | 1.50450e7i | 0.446245 | − | 0.772920i | −0.551893 | − | 0.833915i | \(-0.686094\pi\) |
0.998138 | + | 0.0609954i | \(0.0194275\pi\) | |||||||
\(270\) | −1.10240e7 | + | 6.36473e6i | −0.560079 | + | 0.323362i | ||||
\(271\) | −96105.5 | + | 358671.i | −0.00482881 | + | 0.0180214i | −0.968298 | − | 0.249797i | \(-0.919636\pi\) |
0.963469 | + | 0.267818i | \(0.0863027\pi\) | |||||||
\(272\) | 1.49660e7i | 0.743700i | ||||||||
\(273\) | 2.01153e7 | + | 1.12490e7i | 0.988641 | + | 0.552872i | ||||
\(274\) | 3.26549e7 | 1.58744 | ||||||||
\(275\) | 1.95427e6 | + | 523644.i | 0.0939692 | + | 0.0251790i | ||||
\(276\) | 8.00117e6 | + | 1.38584e7i | 0.380563 | + | 0.659154i | ||||
\(277\) | 3.59088e7 | + | 2.07320e7i | 1.68952 | + | 0.975442i | 0.954885 | + | 0.296974i | \(0.0959776\pi\) |
0.734630 | + | 0.678468i | \(0.237356\pi\) | |||||||
\(278\) | 3.92316e7 | − | 3.92316e7i | 1.82600 | − | 1.82600i | ||||
\(279\) | −3.15300e6 | − | 1.17671e7i | −0.145181 | − | 0.541824i | ||||
\(280\) | 4.50144e7 | − | 1.20616e7i | 2.05059 | − | 0.549453i | ||||
\(281\) | 2.30364e7 | + | 2.30364e7i | 1.03823 | + | 1.03823i | 0.999239 | + | 0.0389956i | \(0.0124158\pi\) |
0.0389956 | + | 0.999239i | \(0.487584\pi\) | |||||||
\(282\) | 8.21241e6 | − | 1.42243e7i | 0.366204 | − | 0.634285i | ||||
\(283\) | 3.55194e6 | − | 2.05072e6i | 0.156714 | − | 0.0904786i | −0.419592 | − | 0.907713i | \(-0.637827\pi\) |
0.576306 | + | 0.817234i | \(0.304494\pi\) | |||||||
\(284\) | −1.64864e7 | + | 6.15280e7i | −0.719730 | + | 2.68607i | ||||
\(285\) | 2.62580e7i | 1.13430i | ||||||||
\(286\) | −1.57317e7 | + | 6.21027e7i | −0.672475 | + | 2.65468i | ||||
\(287\) | −6.37381e6 | −0.269621 | ||||||||
\(288\) | 2.26765e7 | + | 6.07614e6i | 0.949287 | + | 0.254361i | ||||
\(289\) | −1.04739e7 | − | 1.81414e7i | −0.433927 | − | 0.751584i | ||||
\(290\) | −4.57528e7 | − | 2.64154e7i | −1.87596 | − | 1.08309i | ||||
\(291\) | −3.88940e7 | + | 3.88940e7i | −1.57835 | + | 1.57835i | ||||
\(292\) | −8.68752e6 | − | 3.24223e7i | −0.348937 | − | 1.30225i | ||||
\(293\) | −7.31674e6 | + | 1.96052e6i | −0.290881 | + | 0.0779412i | −0.401309 | − | 0.915943i | \(-0.631445\pi\) |
0.110428 | + | 0.993884i | \(0.464778\pi\) | |||||||
\(294\) | −1.13113e7 | − | 1.13113e7i | −0.445114 | − | 0.445114i | ||||
\(295\) | −2.77820e6 | + | 4.81199e6i | −0.108218 | + | 0.187439i | ||||
\(296\) | 3.40492e7 | − | 1.96583e7i | 1.31290 | − | 0.758004i | ||||
\(297\) | 3.51035e6 | − | 1.31008e7i | 0.133993 | − | 0.500067i | ||||
\(298\) | − | 7.31173e7i | − | 2.76294i | ||||||
\(299\) | 4.64667e6 | − | 4.77578e6i | 0.173831 | − | 0.178661i | ||||
\(300\) | −5.33260e6 | −0.197504 | ||||||||
\(301\) | −3.73922e6 | − | 1.00192e6i | −0.137114 | − | 0.0367396i | ||||
\(302\) | 1.33314e7 | + | 2.30907e7i | 0.484011 | + | 0.838331i | ||||
\(303\) | 1.36074e7 | + | 7.85625e6i | 0.489157 | + | 0.282415i | ||||
\(304\) | −3.38803e7 | + | 3.38803e7i | −1.20594 | + | 1.20594i | ||||
\(305\) | −4.95454e6 | − | 1.84906e7i | −0.174624 | − | 0.651705i | ||||
\(306\) | 1.35373e7 | − | 3.62731e6i | 0.472463 | − | 0.126596i | ||||
\(307\) | 2.89205e6 | + | 2.89205e6i | 0.0999519 | + | 0.0999519i | 0.755314 | − | 0.655363i | \(-0.227484\pi\) |
−0.655363 | + | 0.755314i | \(0.727484\pi\) | |||||||
\(308\) | −4.37002e7 | + | 7.56910e7i | −1.49566 | + | 2.59055i | ||||
\(309\) | 2.07746e7 | − | 1.19942e7i | 0.704137 | − | 0.406533i | ||||
\(310\) | −1.09964e7 | + | 4.10391e7i | −0.369118 | + | 1.37757i | ||||
\(311\) | − | 2.81073e7i | − | 0.934411i | −0.884149 | − | 0.467206i | \(-0.845261\pi\) | ||
0.884149 | − | 0.467206i | \(-0.154739\pi\) | |||||||
\(312\) | −1.31433e6 | − | 9.59207e7i | −0.0432755 | − | 3.15826i | ||||
\(313\) | −3.23820e7 | −1.05602 | −0.528008 | − | 0.849239i | \(-0.677061\pi\) | ||||
−0.528008 | + | 0.849239i | \(0.677061\pi\) | |||||||
\(314\) | −2.37300e6 | − | 635844.i | −0.0766494 | − | 0.0205381i | ||||
\(315\) | −1.02357e7 | − | 1.77288e7i | −0.327482 | − | 0.567215i | ||||
\(316\) | 1.04328e8 | + | 6.02341e7i | 3.30630 | + | 1.90889i | ||||
\(317\) | −6.51606e6 | + | 6.51606e6i | −0.204554 | + | 0.204554i | −0.801948 | − | 0.597394i | \(-0.796203\pi\) |
0.597394 | + | 0.801948i | \(0.296203\pi\) | |||||||
\(318\) | 1.82448e7 | + | 6.80905e7i | 0.567358 | + | 2.11741i | ||||
\(319\) | 5.43719e7 | − | 1.45689e7i | 1.67495 | − | 0.448802i | ||||
\(320\) | −8.98325e6 | − | 8.98325e6i | −0.274147 | − | 0.274147i | ||||
\(321\) | 1.60669e7 | − | 2.78286e7i | 0.485754 | − | 0.841350i | ||||
\(322\) | 1.12726e7 | − | 6.50826e6i | 0.337643 | − | 0.194938i | ||||
\(323\) | −2.64303e6 | + | 9.86391e6i | −0.0784321 | + | 0.292713i | ||||
\(324\) | 9.39444e7i | 2.76208i | ||||||||
\(325\) | 604032. | + | 2.13673e6i | 0.0175958 | + | 0.0622444i | ||||
\(326\) | −9.20875e7 | −2.65796 | ||||||||
\(327\) | −2.67955e7 | − | 7.17984e6i | −0.766335 | − | 0.205339i | ||||
\(328\) | 1.32650e7 | + | 2.29757e7i | 0.375912 | + | 0.651099i | ||||
\(329\) | −8.08045e6 | − | 4.66525e6i | −0.226907 | − | 0.131005i | ||||
\(330\) | 9.46893e7 | − | 9.46893e7i | 2.63487 | − | 2.63487i | ||||
\(331\) | 3.17249e6 | + | 1.18399e7i | 0.0874814 | + | 0.326485i | 0.995773 | − | 0.0918536i | \(-0.0292792\pi\) |
−0.908291 | + | 0.418339i | \(0.862613\pi\) | |||||||
\(332\) | −9.62661e7 | + | 2.57944e7i | −2.63063 | + | 0.704874i | ||||
\(333\) | −1.22124e7 | − | 1.22124e7i | −0.330727 | − | 0.330727i | ||||
\(334\) | 3.43603e7 | − | 5.95139e7i | 0.922185 | − | 1.59727i | ||||
\(335\) | 5.08973e7 | − | 2.93856e7i | 1.35382 | − | 0.781627i | ||||
\(336\) | 2.27516e7 | − | 8.49101e7i | 0.599782 | − | 2.23842i | ||||
\(337\) | − | 2.28964e7i | − | 0.598243i | −0.954215 | − | 0.299121i | \(-0.903306\pi\) | ||
0.954215 | − | 0.299121i | \(-0.0966935\pi\) | |||||||
\(338\) | −6.73907e7 | + | 2.00517e7i | −1.74522 | + | 0.519280i | ||||
\(339\) | −3.21447e7 | −0.825108 | ||||||||
\(340\) | −3.29725e7 | − | 8.83496e6i | −0.838910 | − | 0.224785i | ||||
\(341\) | −2.26344e7 | − | 3.92039e7i | −0.570828 | − | 0.988703i | ||||
\(342\) | 3.88577e7 | + | 2.24345e7i | 0.971401 | + | 0.560839i | ||||
\(343\) | −3.09359e7 | + | 3.09359e7i | −0.766621 | + | 0.766621i | ||||
\(344\) | 4.17035e6 | + | 1.55639e7i | 0.102446 | + | 0.382335i | ||||
\(345\) | −1.34534e7 | + | 3.60484e6i | −0.327624 | + | 0.0877866i | ||||
\(346\) | 3.18683e7 | + | 3.18683e7i | 0.769362 | + | 0.769362i | ||||
\(347\) | −1.27477e7 | + | 2.20797e7i | −0.305101 | + | 0.528451i | −0.977284 | − | 0.211935i | \(-0.932024\pi\) |
0.672183 | + | 0.740385i | \(0.265357\pi\) | |||||||
\(348\) | −1.28487e8 | + | 7.41822e7i | −3.04875 | + | 1.76020i | ||||
\(349\) | 1.93822e7 | − | 7.23352e7i | 0.455959 | − | 1.70166i | −0.229294 | − | 0.973357i | \(-0.573642\pi\) |
0.685253 | − | 0.728305i | \(-0.259692\pi\) | |||||||
\(350\) | 4.33761e6i | 0.101169i | ||||||||
\(351\) | 1.43240e7 | − | 4.04925e6i | 0.331240 | − | 0.0936382i | ||||
\(352\) | 8.72374e7 | 2.00020 | ||||||||
\(353\) | 6.83814e7 | + | 1.83227e7i | 1.55458 | + | 0.416549i | 0.930943 | − | 0.365163i | \(-0.118987\pi\) |
0.623639 | + | 0.781712i | \(0.285654\pi\) | |||||||
\(354\) | 1.11716e7 | + | 1.93497e7i | 0.251828 | + | 0.436180i | ||||
\(355\) | −4.80137e7 | − | 2.77207e7i | −1.07320 | − | 0.619612i | ||||
\(356\) | 1.37613e8 | − | 1.37613e8i | 3.05007 | − | 3.05007i | ||||
\(357\) | −4.84902e6 | − | 1.80968e7i | −0.106574 | − | 0.397738i | ||||
\(358\) | −4.80469e7 | + | 1.28741e7i | −1.04717 | + | 0.280588i | ||||
\(359\) | 3.88671e7 | + | 3.88671e7i | 0.840037 | + | 0.840037i | 0.988863 | − | 0.148826i | \(-0.0475495\pi\) |
−0.148826 | + | 0.988863i | \(0.547550\pi\) | |||||||
\(360\) | −4.26047e7 | + | 7.37935e7i | −0.913166 | + | 1.58165i | ||||
\(361\) | 1.24294e7 | − | 7.17612e6i | 0.264198 | − | 0.152535i | ||||
\(362\) | 1.17561e7 | − | 4.38743e7i | 0.247820 | − | 0.924877i | ||||
\(363\) | 7.96026e7i | 1.66421i | ||||||||
\(364\) | −9.59132e7 | + | 1.31423e6i | −1.98872 | + | 0.0272501i | ||||
\(365\) | 2.92150e7 | 0.600796 | ||||||||
\(366\) | −7.43534e7 | − | 1.99229e7i | −1.51655 | − | 0.406359i | ||||
\(367\) | −6.79518e6 | − | 1.17696e7i | −0.137468 | − | 0.238102i | 0.789069 | − | 0.614304i | \(-0.210563\pi\) |
−0.926538 | + | 0.376202i | \(0.877230\pi\) | |||||||
\(368\) | −2.20101e7 | − | 1.27075e7i | −0.441649 | − | 0.254986i | ||||
\(369\) | 8.24069e6 | − | 8.24069e6i | 0.164015 | − | 0.164015i | ||||
\(370\) | 1.55898e7 | + | 5.81820e7i | 0.307777 | + | 1.14864i | ||||
\(371\) | 3.86803e7 | − | 1.03644e7i | 0.757475 | − | 0.202965i | ||||
\(372\) | 8.43689e7 | + | 8.43689e7i | 1.63890 | + | 1.63890i | ||||
\(373\) | −2.61575e7 | + | 4.53060e7i | −0.504045 | + | 0.873031i | 0.495944 | + | 0.868354i | \(0.334822\pi\) |
−0.999989 | + | 0.00467673i | \(0.998511\pi\) | |||||||
\(374\) | 4.51014e7 | − | 2.60393e7i | 0.862135 | − | 0.497754i | ||||
\(375\) | −1.73702e7 | + | 6.48265e7i | −0.329390 | + | 1.22930i | ||||
\(376\) | 3.88368e7i | 0.730601i | ||||||||
\(377\) | 4.42782e7 | + | 4.30812e7i | 0.826354 | + | 0.804014i | ||||
\(378\) | 2.90780e7 | 0.538380 | ||||||||
\(379\) | −5.12623e7 | − | 1.37357e7i | −0.941631 | − | 0.252309i | −0.244824 | − | 0.969568i | \(-0.578730\pi\) |
−0.696807 | + | 0.717258i | \(0.745397\pi\) | |||||||
\(380\) | −5.46432e7 | − | 9.46448e7i | −0.995831 | − | 1.72483i | ||||
\(381\) | 5.62799e7 | + | 3.24932e7i | 1.01760 | + | 0.587513i | ||||
\(382\) | −1.03341e8 | + | 1.03341e8i | −1.85388 | + | 1.85388i | ||||
\(383\) | 9.20297e6 | + | 3.43459e7i | 0.163807 | + | 0.611335i | 0.998189 | + | 0.0601493i | \(0.0191577\pi\) |
−0.834383 | + | 0.551186i | \(0.814176\pi\) | |||||||
\(384\) | 4.65755e7 | − | 1.24799e7i | 0.822553 | − | 0.220402i | ||||
\(385\) | −5.37904e7 | − | 5.37904e7i | −0.942590 | − | 0.942590i | ||||
\(386\) | −2.37574e7 | + | 4.11491e7i | −0.413083 | + | 0.715481i | ||||
\(387\) | 6.12981e6 | − | 3.53905e6i | 0.105758 | − | 0.0610595i | ||||
\(388\) | 5.92513e7 | − | 2.21129e8i | 1.01438 | − | 3.78574i | ||||
\(389\) | 7.69333e7i | 1.30697i | 0.756939 | + | 0.653485i | \(0.226694\pi\) | ||||
−0.756939 | + | 0.653485i | \(0.773306\pi\) | |||||||
\(390\) | 1.42467e8 | + | 3.60894e7i | 2.40172 | + | 0.608395i | ||||
\(391\) | −5.41668e6 | −0.0906155 | ||||||||
\(392\) | 3.65355e7 | + | 9.78966e6i | 0.606537 | + | 0.162521i | ||||
\(393\) | −3.43495e7 | − | 5.94952e7i | −0.565905 | − | 0.980176i | ||||
\(394\) | 6.20965e7 | + | 3.58514e7i | 1.01526 | + | 0.586162i | ||||
\(395\) | −7.41418e7 | + | 7.41418e7i | −1.20302 | + | 1.20302i | ||||
\(396\) | −4.13608e7 | − | 1.54361e8i | −0.666045 | − | 2.48571i | ||||
\(397\) | −5.60953e7 | + | 1.50307e7i | −0.896510 | + | 0.240219i | −0.677517 | − | 0.735507i | \(-0.736944\pi\) |
−0.218993 | + | 0.975726i | \(0.570277\pi\) | |||||||
\(398\) | −1.26310e8 | − | 1.26310e8i | −2.00349 | − | 2.00349i | ||||
\(399\) | 2.99907e7 | − | 5.19453e7i | 0.472136 | − | 0.817764i | ||||
\(400\) | 7.33460e6 | − | 4.23463e6i | 0.114603 | − | 0.0661662i | ||||
\(401\) | 2.34543e6 | − | 8.75325e6i | 0.0363738 | − | 0.135749i | −0.945351 | − | 0.326054i | \(-0.894281\pi\) |
0.981725 | + | 0.190305i | \(0.0609476\pi\) | |||||||
\(402\) | − | 2.36328e8i | − | 3.63778i | ||||||
\(403\) | 2.42494e7 | − | 4.33626e7i | 0.370498 | − | 0.662522i | ||||
\(404\) | −6.53958e7 | −0.991758 | ||||||||
\(405\) | −7.89807e7 | − | 2.11628e7i | −1.18893 | − | 0.318573i | ||||
\(406\) | 6.03408e7 | + | 1.04513e8i | 0.901640 | + | 1.56169i | ||||
\(407\) | −5.55800e7 | − | 3.20892e7i | −0.824396 | − | 0.475965i | ||||
\(408\) | −5.51419e7 | + | 5.51419e7i | −0.811897 | + | 0.811897i | ||||
\(409\) | 8.63637e6 | + | 3.22314e7i | 0.126230 | + | 0.471095i | 0.999881 | − | 0.0154580i | \(-0.00492063\pi\) |
−0.873651 | + | 0.486553i | \(0.838254\pi\) | |||||||
\(410\) | −3.92600e7 | + | 1.05197e7i | −0.569637 | + | 0.152634i | ||||
\(411\) | 5.64393e7 | + | 5.64393e7i | 0.812936 | + | 0.812936i | ||||
\(412\) | −4.99202e7 | + | 8.64643e7i | −0.713813 | + | 1.23636i | ||||
\(413\) | 1.09921e7 | − | 6.34627e6i | 0.156038 | − | 0.0900883i | ||||
\(414\) | −6.15985e6 | + | 2.29889e7i | −0.0868099 | + | 0.323979i | ||||
\(415\) | − | 8.67433e7i | − | 1.21364i | ||||||
\(416\) | 4.90031e7 | + | 8.22523e7i | 0.680681 | + | 1.14253i | ||||
\(417\) | 1.35613e8 | 1.87022 | ||||||||
\(418\) | 1.61050e8 | + | 4.31533e7i | 2.20512 | + | 0.590860i | ||||
\(419\) | −1.30180e6 | − | 2.25479e6i | −0.0176972 | − | 0.0306524i | 0.857041 | − | 0.515248i | \(-0.172300\pi\) |
−0.874738 | + | 0.484595i | \(0.838967\pi\) | |||||||
\(420\) | 1.73640e8 | + | 1.00251e8i | 2.34370 | + | 1.35313i | ||||
\(421\) | 2.01304e7 | − | 2.01304e7i | 0.269778 | − | 0.269778i | −0.559233 | − | 0.829011i | \(-0.688904\pi\) |
0.829011 | + | 0.559233i | \(0.188904\pi\) | |||||||
\(422\) | −1.73528e7 | − | 6.47616e7i | −0.230905 | − | 0.861748i | ||||
\(423\) | 1.64789e7 | − | 4.41550e6i | 0.217724 | − | 0.0583390i | ||||
\(424\) | −1.17861e8 | − | 1.17861e8i | −1.54622 | − | 1.54622i | ||||
\(425\) | 902523. | − | 1.56322e6i | 0.0117569 | − | 0.0203635i | ||||
\(426\) | −1.93070e8 | + | 1.11469e8i | −2.49739 | + | 1.44187i | ||||
\(427\) | −1.13177e7 | + | 4.22382e7i | −0.145370 | + | 0.542527i | ||||
\(428\) | 1.33741e8i | 1.70583i | ||||||||
\(429\) | −1.34526e8 | + | 8.01458e7i | −1.70386 | + | 1.01510i | ||||
\(430\) | −2.46856e7 | −0.310483 | ||||||||
\(431\) | 6.96328e7 | + | 1.86580e7i | 0.869725 | + | 0.233042i | 0.665969 | − | 0.745980i | \(-0.268018\pi\) |
0.203756 | + | 0.979022i | \(0.434685\pi\) | |||||||
\(432\) | −2.83877e7 | − | 4.91689e7i | −0.352110 | − | 0.609873i | ||||
\(433\) | −1.05530e7 | − | 6.09278e6i | −0.129991 | − | 0.0750502i | 0.433594 | − | 0.901108i | \(-0.357245\pi\) |
−0.563585 | + | 0.826058i | \(0.690578\pi\) | |||||||
\(434\) | 6.86268e7 | − | 6.86268e7i | 0.839508 | − | 0.839508i | ||||
\(435\) | −3.34220e7 | − | 1.24732e8i | −0.406036 | − | 1.51535i | ||||
\(436\) | 1.11524e8 | − | 2.98826e7i | 1.34557 | − | 0.360545i | ||||
\(437\) | −1.22624e7 | − | 1.22624e7i | −0.146937 | − | 0.146937i | ||||
\(438\) | 5.87389e7 | − | 1.01739e8i | 0.699042 | − | 1.21078i | ||||
\(439\) | −2.99649e7 | + | 1.73003e7i | −0.354176 | + | 0.204484i | −0.666523 | − | 0.745484i | \(-0.732218\pi\) |
0.312347 | + | 0.949968i | \(0.398885\pi\) | |||||||
\(440\) | −8.19511e7 | + | 3.05846e8i | −0.962048 | + | 3.59041i | ||||
\(441\) | − | 1.66154e7i | − | 0.193730i | ||||||
\(442\) | 4.98858e7 | + | 2.78973e7i | 0.577710 | + | 0.323069i | ||||
\(443\) | 3.95248e7 | 0.454630 | 0.227315 | − | 0.973821i | \(-0.427005\pi\) | ||||
0.227315 | + | 0.973821i | \(0.427005\pi\) | |||||||
\(444\) | 1.63392e8 | + | 4.37808e7i | 1.86673 | + | 0.500190i | ||||
\(445\) | 8.46936e7 | + | 1.46694e8i | 0.961105 | + | 1.66468i | ||||
\(446\) | −2.11754e8 | − | 1.22256e8i | −2.38686 | − | 1.37806i | ||||
\(447\) | 1.26373e8 | − | 1.26373e8i | 1.41492 | − | 1.41492i | ||||
\(448\) | 7.51102e6 | + | 2.80315e7i | 0.0835343 | + | 0.311754i | ||||
\(449\) | −1.17491e8 | + | 3.14815e7i | −1.29797 | + | 0.347790i | −0.840682 | − | 0.541529i | \(-0.817846\pi\) |
−0.457287 | + | 0.889319i | \(0.651179\pi\) | |||||||
\(450\) | −5.60808e6 | − | 5.60808e6i | −0.0615428 | − | 0.0615428i | ||||
\(451\) | 2.16531e7 | − | 3.75042e7i | 0.236042 | − | 0.408838i | ||||
\(452\) | 1.15863e8 | − | 6.68936e7i | 1.25467 | − | 0.724384i | ||||
\(453\) | −1.68675e7 | + | 6.29504e7i | −0.181450 | + | 0.677180i | ||||
\(454\) | 5.87577e6i | 0.0627910i | ||||||||
\(455\) | 2.05014e7 | − | 8.09319e7i | 0.217645 | − | 0.859182i | ||||
\(456\) | −2.49663e8 | −2.63306 | ||||||||
\(457\) | 6.27379e7 | + | 1.68106e7i | 0.657327 | + | 0.176130i | 0.572040 | − | 0.820226i | \(-0.306152\pi\) |
0.0852877 | + | 0.996356i | \(0.472819\pi\) | |||||||
\(458\) | 3.13698e7 | + | 5.43342e7i | 0.326525 | + | 0.565557i | ||||
\(459\) | −1.04793e7 | − | 6.05024e6i | −0.108367 | − | 0.0625655i | ||||
\(460\) | 4.09901e7 | − | 4.09901e7i | 0.421120 | − | 0.421120i | ||||
\(461\) | 3.05452e6 | + | 1.13996e7i | 0.0311774 | + | 0.116356i | 0.979761 | − | 0.200171i | \(-0.0641499\pi\) |
−0.948584 | + | 0.316527i | \(0.897483\pi\) | |||||||
\(462\) | −2.95470e8 | + | 7.91710e7i | −2.99632 | + | 0.802861i | ||||
\(463\) | −3.15292e6 | − | 3.15292e6i | −0.0317666 | − | 0.0317666i | 0.691045 | − | 0.722812i | \(-0.257151\pi\) |
−0.722812 | + | 0.691045i | \(0.757151\pi\) | |||||||
\(464\) | 1.17817e8 | − | 2.04064e8i | 1.17938 | − | 2.04274i | ||||
\(465\) | −8.99361e7 | + | 5.19246e7i | −0.894489 | + | 0.516434i | ||||
\(466\) | 1.68443e6 | − | 6.28637e6i | 0.0166454 | − | 0.0621215i | ||||
\(467\) | − | 8.19686e7i | − | 0.804817i | −0.915460 | − | 0.402408i | \(-0.868173\pi\) | ||
0.915460 | − | 0.402408i | \(-0.131827\pi\) | |||||||
\(468\) | 1.22307e8 | − | 1.25705e8i | 1.19320 | − | 1.22635i | ||||
\(469\) | −1.34251e8 | −1.30137 | ||||||||
\(470\) | −5.74719e7 | − | 1.53995e7i | −0.553556 | − | 0.148325i | ||||
\(471\) | −3.00243e6 | − | 5.20036e6i | −0.0287349 | − | 0.0497704i | ||||
\(472\) | −4.57528e7 | − | 2.64154e7i | −0.435103 | − | 0.251207i | ||||
\(473\) | 1.85983e7 | − | 1.85983e7i | 0.175748 | − | 0.175748i | ||||
\(474\) | 1.09125e8 | + | 4.07261e8i | 1.02468 | + | 3.82417i | ||||
\(475\) | 5.58200e6 | − | 1.49569e6i | 0.0520846 | − | 0.0139560i | ||||
\(476\) | 5.51375e7 | + | 5.51375e7i | 0.511242 | + | 0.511242i | ||||
\(477\) | −3.66097e7 | + | 6.34098e7i | −0.337319 | + | 0.584253i | ||||
\(478\) | 1.23850e8 | − | 7.15049e7i | 1.13400 | − | 0.654715i | ||||
\(479\) | 1.32130e7 | − | 4.93114e7i | 0.120225 | − | 0.448684i | −0.879400 | − | 0.476084i | \(-0.842056\pi\) |
0.999625 | + | 0.0273994i | \(0.00872261\pi\) | |||||||
\(480\) | − | 2.00128e8i | − | 1.80961i | ||||||
\(481\) | −965042. | − | 7.04292e7i | −0.00867184 | − | 0.632874i | ||||
\(482\) | 2.70973e8 | 2.41983 | ||||||||
\(483\) | 3.07318e7 | + | 8.23455e6i | 0.272738 | + | 0.0730800i | ||||
\(484\) | −1.65654e8 | − | 2.86921e8i | −1.46105 | − | 2.53062i | ||||
\(485\) | 1.72559e8 | + | 9.96272e7i | 1.51256 | + | 0.873278i | ||||
\(486\) | −1.81620e8 | + | 1.81620e8i | −1.58217 | + | 1.58217i | ||||
\(487\) | 5.25395e7 | + | 1.96080e8i | 0.454882 | + | 1.69764i | 0.688434 | + | 0.725299i | \(0.258299\pi\) |
−0.233551 | + | 0.972344i | \(0.575035\pi\) | |||||||
\(488\) | 1.75810e8 | − | 4.71082e7i | 1.51281 | − | 0.405356i | ||||
\(489\) | −1.59160e8 | − | 1.59160e8i | −1.36116 | − | 1.36116i | ||||
\(490\) | −2.89741e7 | + | 5.01845e7i | −0.246275 | + | 0.426562i | ||||
\(491\) | −1.59223e8 | + | 9.19275e7i | −1.34512 | + | 0.776607i | −0.987554 | − | 0.157280i | \(-0.949727\pi\) |
−0.357568 | + | 0.933887i | \(0.616394\pi\) | |||||||
\(492\) | −2.95424e7 | + | 1.10254e8i | −0.248056 | + | 0.925758i | ||||
\(493\) | − | 5.02203e7i | − | 0.419120i | ||||||
\(494\) | 4.97780e7 | + | 1.76087e8i | 0.412911 | + | 1.46065i | ||||
\(495\) | 1.39091e8 | 1.14679 | ||||||||
\(496\) | −1.83041e8 | − | 4.90457e7i | −1.50004 | − | 0.401935i | ||||
\(497\) | 6.33226e7 | + | 1.09678e8i | 0.515810 | + | 0.893409i | ||||
\(498\) | −3.02076e8 | − | 1.74404e8i | −2.44584 | − | 1.41211i | ||||
\(499\) | 8.31949e7 | − | 8.31949e7i | 0.669569 | − | 0.669569i | −0.288047 | − | 0.957616i | \(-0.593006\pi\) |
0.957616 | + | 0.288047i | \(0.0930061\pi\) | |||||||
\(500\) | −7.22952e7 | − | 2.69809e8i | −0.578361 | − | 2.15847i | ||||
\(501\) | 1.62248e8 | − | 4.34743e7i | 1.29023 | − | 0.345716i | ||||
\(502\) | 2.66621e8 | + | 2.66621e8i | 2.10758 | + | 2.10758i | ||||
\(503\) | 3.96197e7 | − | 6.86234e7i | 0.311320 | − | 0.539223i | −0.667328 | − | 0.744764i | \(-0.732562\pi\) |
0.978648 | + | 0.205541i | \(0.0658954\pi\) | |||||||
\(504\) | 1.68567e8 | − | 9.73221e7i | 1.31668 | − | 0.760186i | ||||
\(505\) | 1.47317e7 | − | 5.49794e7i | 0.114387 | − | 0.426899i | ||||
\(506\) | 8.84393e7i | 0.682643i | ||||||||
\(507\) | −1.51132e8 | − | 8.18188e7i | −1.15966 | − | 0.627811i | ||||
\(508\) | −2.70475e8 | −2.06317 | ||||||||
\(509\) | 1.98754e6 | + | 532561.i | 0.0150717 | + | 0.00403846i | 0.266347 | − | 0.963877i | \(-0.414183\pi\) |
−0.251275 | + | 0.967916i | \(0.580850\pi\) | |||||||
\(510\) | −5.97358e7 | − | 1.03465e8i | −0.450323 | − | 0.779982i | ||||
\(511\) | −5.77950e7 | − | 3.33680e7i | −0.433140 | − | 0.250073i | ||||
\(512\) | −2.06838e8 | + | 2.06838e8i | −1.54106 | + | 1.54106i | ||||
\(513\) | −1.00267e7 | − | 3.74201e7i | −0.0742685 | − | 0.277174i | ||||
\(514\) | 2.58445e8 | − | 6.92501e7i | 1.90317 | − | 0.509954i | ||||
\(515\) | −6.14465e7 | − | 6.14465e7i | −0.449858 | − | 0.449858i | ||||
\(516\) | −3.46622e7 | + | 6.00368e7i | −0.252294 | + | 0.436987i | ||||
\(517\) | 5.49017e7 | − | 3.16975e7i | 0.397296 | − | 0.229379i | ||||
\(518\) | 3.56119e7 | − | 1.32905e8i | 0.256216 | − | 0.956210i | ||||
\(519\) | 1.10160e8i | 0.787990i | ||||||||
\(520\) | −3.34402e8 | + | 9.45320e7i | −2.37826 | + | 0.672309i | ||||
\(521\) | −1.66884e8 | −1.18005 | −0.590026 | − | 0.807385i | \(-0.700882\pi\) | ||||
−0.590026 | + | 0.807385i | \(0.700882\pi\) | |||||||
\(522\) | −2.13140e8 | − | 5.71106e7i | −1.49849 | − | 0.401518i | ||||
\(523\) | 7.27066e7 | + | 1.25931e8i | 0.508240 | + | 0.880297i | 0.999954 | + | 0.00954052i | \(0.00303689\pi\) |
−0.491715 | + | 0.870756i | \(0.663630\pi\) | |||||||
\(524\) | 2.47620e8 | + | 1.42964e8i | 1.72105 | + | 0.993646i | ||||
\(525\) | −7.49694e6 | + | 7.49694e6i | −0.0518091 | + | 0.0518091i | ||||
\(526\) | −7.88080e7 | − | 2.94115e8i | −0.541518 | − | 2.02097i | ||||
\(527\) | −3.90113e7 | + | 1.04531e7i | −0.266538 | + | 0.0714186i | ||||
\(528\) | 4.22329e8 | + | 4.22329e8i | 2.86912 | + | 2.86912i | ||||
\(529\) | −6.94187e7 | + | 1.20237e8i | −0.468931 | + | 0.812213i | ||||
\(530\) | 2.21148e8 | − | 1.27680e8i | 1.48544 | − | 0.857621i | ||||
\(531\) | −6.00653e6 | + | 2.24167e7i | −0.0401181 | + | 0.149723i | ||||
\(532\) | 2.49644e8i | 1.65800i | ||||||||
\(533\) | 4.75241e7 | − | 651190.i | 0.313857 | − | 0.00430057i | ||||
\(534\) | 6.81132e8 | 4.47309 | ||||||||
\(535\) | −1.12439e8 | − | 3.01278e7i | −0.734268 | − | 0.196746i | ||||
\(536\) | 2.79400e8 | + | 4.83936e8i | 1.81440 | + | 3.14263i | ||||
\(537\) | −1.05293e8 | − | 6.07911e7i | −0.679951 | − | 0.392570i | ||||
\(538\) | −1.78940e8 | + | 1.78940e8i | −1.14910 | + | 1.14910i | ||||
\(539\) | −1.59801e7 | − | 5.96385e7i | −0.102050 | − | 0.380856i | ||||
\(540\) | 1.25086e8 | − | 3.35166e7i | 0.794376 | − | 0.212852i | ||||
\(541\) | −5.40118e7 | − | 5.40118e7i | −0.341112 | − | 0.341112i | 0.515673 | − | 0.856785i | \(-0.327542\pi\) |
−0.856785 | + | 0.515673i | \(0.827542\pi\) | |||||||
\(542\) | 2.70447e6 | − | 4.68429e6i | 0.0169858 | − | 0.0294202i | ||||
\(543\) | 9.61491e7 | − | 5.55117e7i | 0.600546 | − | 0.346725i | ||||
\(544\) | 2.01441e7 | − | 7.51787e7i | 0.125127 | − | 0.466980i | ||||
\(545\) | 1.00491e8i | 0.620782i | ||||||||
\(546\) | −2.40619e8 | − | 2.34114e8i | −1.47826 | − | 1.43830i | ||||
\(547\) | 2.16091e8 | 1.32031 | 0.660154 | − | 0.751130i | \(-0.270491\pi\) | ||||
0.660154 | + | 0.751130i | \(0.270491\pi\) | |||||||
\(548\) | −3.20882e8 | − | 8.59801e7i | −1.94986 | − | 0.522464i | ||||
\(549\) | −3.99770e7 | − | 6.92423e7i | −0.241598 | − | 0.418460i | ||||
\(550\) | −2.55230e7 | − | 1.47357e7i | −0.153406 | − | 0.0885692i | ||||
\(551\) | 1.13690e8 | − | 1.13690e8i | 0.679622 | − | 0.679622i | ||||
\(552\) | −3.42751e7 | − | 1.27916e8i | −0.203780 | − | 0.760517i | ||||
\(553\) | 2.31354e8 | − | 6.19910e7i | 1.36805 | − | 0.366567i | ||||
\(554\) | −4.27087e8 | − | 4.27087e8i | −2.51181 | − | 2.51181i | ||||
\(555\) | −7.36145e7 | + | 1.27504e8i | −0.430610 | + | 0.745839i | ||||
\(556\) | −4.88805e8 | + | 2.82211e8i | −2.84388 | + | 1.64191i | ||||
\(557\) | 5.89088e7 | − | 2.19851e8i | 0.340890 | − | 1.27222i | −0.556451 | − | 0.830881i | \(-0.687837\pi\) |
0.897341 | − | 0.441339i | \(-0.145496\pi\) | |||||||
\(558\) | 1.77455e8i | 1.02138i | ||||||||
\(559\) | 2.79826e7 | + | 7.08845e6i | 0.160196 | + | 0.0405804i | ||||
\(560\) | −3.18439e8 | −1.81327 | ||||||||
\(561\) | 1.22957e8 | + | 3.29461e7i | 0.696407 | + | 0.186602i | ||||
\(562\) | −2.37280e8 | − | 4.10980e8i | −1.33675 | − | 2.31533i | ||||
\(563\) | 6.28453e6 | + | 3.62838e6i | 0.0352166 | + | 0.0203323i | 0.517505 | − | 0.855680i | \(-0.326861\pi\) |
−0.482288 | + | 0.876013i | \(0.660194\pi\) | |||||||
\(564\) | −1.18152e8 | + | 1.18152e8i | −0.658570 | + | 0.658570i | ||||
\(565\) | 3.01382e7 | + | 1.12477e8i | 0.167098 | + | 0.623618i | ||||
\(566\) | −5.77085e7 | + | 1.54630e7i | −0.318266 | + | 0.0852792i | ||||
\(567\) | 1.32074e8 | + | 1.32074e8i | 0.724548 | + | 0.724548i | ||||
\(568\) | 2.63571e8 | − | 4.56518e8i | 1.43831 | − | 2.49123i | ||||
\(569\) | −1.80180e8 | + | 1.04027e8i | −0.978071 | + | 0.564690i | −0.901687 | − | 0.432389i | \(-0.857671\pi\) |
−0.0763840 | + | 0.997078i | \(0.524337\pi\) | |||||||
\(570\) | 9.89962e7 | − | 3.69459e8i | 0.534557 | − | 1.99499i | ||||
\(571\) | 5.10219e7i | 0.274062i | 0.990567 | + | 0.137031i | \(0.0437559\pi\) | ||||
−0.990567 | + | 0.137031i | \(0.956244\pi\) | |||||||
\(572\) | 3.18102e8 | − | 5.68828e8i | 1.69973 | − | 3.03944i | ||||
\(573\) | −3.57219e8 | −1.89876 | ||||||||
\(574\) | 8.96817e7 | + | 2.40302e7i | 0.474207 | + | 0.127064i | ||||
\(575\) | 1.53265e6 | + | 2.65464e6i | 0.00806196 | + | 0.0139637i | ||||
\(576\) | −4.59529e7 | − | 2.65309e7i | −0.240461 | − | 0.138830i | ||||
\(577\) | 1.25381e8 | − | 1.25381e8i | 0.652687 | − | 0.652687i | −0.300952 | − | 0.953639i | \(-0.597304\pi\) |
0.953639 | + | 0.300952i | \(0.0973044\pi\) | |||||||
\(578\) | 7.89764e7 | + | 2.94744e8i | 0.408991 | + | 1.52638i | ||||
\(579\) | −1.12182e8 | + | 3.00590e7i | −0.577944 | + | 0.154860i | ||||
\(580\) | 3.80036e8 | + | 3.80036e8i | 1.94779 | + | 1.94779i | ||||
\(581\) | −9.90741e7 | + | 1.71601e8i | −0.505163 | + | 0.874968i | ||||
\(582\) | 6.93887e8 | − | 4.00616e8i | 3.51981 | − | 2.03217i | ||||
\(583\) | −7.04195e7 | + | 2.62809e8i | −0.355375 | + | 1.32628i | ||||
\(584\) | 2.77778e8i | 1.39463i | ||||||||
\(585\) | 7.81304e7 | + | 1.31143e8i | 0.390259 | + | 0.655054i | ||||
\(586\) | 1.10340e8 | 0.548330 | ||||||||
\(587\) | −1.83522e8 | − | 4.91746e7i | −0.907348 | − | 0.243123i | −0.225179 | − | 0.974317i | \(-0.572297\pi\) |
−0.682169 | + | 0.731194i | \(0.738963\pi\) | |||||||
\(588\) | 8.13677e7 | + | 1.40933e8i | 0.400240 | + | 0.693235i | ||||
\(589\) | −1.11979e8 | − | 6.46510e7i | −0.548012 | − | 0.316395i | ||||
\(590\) | 5.72322e7 | − | 5.72322e7i | 0.278666 | − | 0.278666i | ||||
\(591\) | 4.53609e7 | + | 1.69289e8i | 0.219745 | + | 0.820099i | ||||
\(592\) | −2.59500e8 | + | 6.95329e7i | −1.25076 | + | 0.335139i | ||||
\(593\) | 9.96558e7 | + | 9.96558e7i | 0.477902 | + | 0.477902i | 0.904460 | − | 0.426558i | \(-0.140274\pi\) |
−0.426558 | + | 0.904460i | \(0.640274\pi\) | |||||||
\(594\) | −9.87836e7 | + | 1.71098e8i | −0.471331 | + | 0.816368i | ||||
\(595\) | −5.87759e7 | + | 3.39343e7i | −0.279028 | + | 0.161097i | ||||
\(596\) | −1.92517e8 | + | 7.18484e8i | −0.909350 | + | 3.39374i | ||||
\(597\) | − | 4.36617e8i | − | 2.05200i | ||||||
\(598\) | −8.33856e7 | + | 4.96783e7i | −0.389931 | + | 0.232307i | ||||
\(599\) | −2.64623e8 | −1.23125 | −0.615625 | − | 0.788039i | \(-0.711097\pi\) | ||||
−0.615625 | + | 0.788039i | \(0.711097\pi\) | |||||||
\(600\) | 4.26267e7 | + | 1.14218e7i | 0.197346 | + | 0.0528786i | ||||
\(601\) | −8.09719e7 | − | 1.40247e8i | −0.373002 | − | 0.646058i | 0.617024 | − | 0.786944i | \(-0.288338\pi\) |
−0.990026 | + | 0.140887i | \(0.955005\pi\) | |||||||
\(602\) | 4.88347e7 | + | 2.81947e7i | 0.223841 | + | 0.129235i | ||||
\(603\) | 1.73573e8 | − | 1.73573e8i | 0.791645 | − | 0.791645i | ||||
\(604\) | −7.02030e7 | − | 2.62001e8i | −0.318599 | − | 1.18903i | ||||
\(605\) | 2.78536e8 | − | 7.46335e7i | 1.25781 | − | 0.337030i | ||||
\(606\) | −1.61842e8 | − | 1.61842e8i | −0.727232 | − | 0.727232i | ||||
\(607\) | −1.40686e8 | + | 2.43676e8i | −0.629051 | + | 1.08955i | 0.358692 | + | 0.933456i | \(0.383223\pi\) |
−0.987743 | + | 0.156092i | \(0.950110\pi\) | |||||||
\(608\) | 2.15794e8 | − | 1.24589e8i | 0.960128 | − | 0.554330i | ||||
\(609\) | −7.63460e7 | + | 2.84927e8i | −0.338014 | + | 1.26148i | ||||
\(610\) | 2.78848e8i | 1.22851i | ||||||||
\(611\) | 6.07257e7 | + | 3.39593e7i | 0.266225 | + | 0.148879i | ||||
\(612\) | −1.42574e8 | −0.621996 | ||||||||
\(613\) | −3.09771e7 | − | 8.30029e6i | −0.134480 | − | 0.0360339i | 0.190951 | − | 0.981600i | \(-0.438843\pi\) |
−0.325431 | + | 0.945566i | \(0.605510\pi\) | |||||||
\(614\) | −2.97887e7 | − | 5.15956e7i | −0.128691 | − | 0.222899i | ||||
\(615\) | −8.60370e7 | − | 4.96735e7i | −0.369879 | − | 0.213550i | ||||
\(616\) | 5.11444e8 | − | 5.11444e8i | 2.18804 | − | 2.18804i | ||||
\(617\) | 6.76791e7 | + | 2.52582e8i | 0.288137 | + | 1.07534i | 0.946516 | + | 0.322656i | \(0.104576\pi\) |
−0.658379 | + | 0.752686i | \(0.728758\pi\) | |||||||
\(618\) | −3.37525e8 | + | 9.04396e7i | −1.43002 | + | 0.383172i | ||||
\(619\) | 5.75929e7 | + | 5.75929e7i | 0.242827 | + | 0.242827i | 0.818019 | − | 0.575192i | \(-0.195073\pi\) |
−0.575192 | + | 0.818019i | \(0.695073\pi\) | |||||||
\(620\) | 2.16112e8 | − | 3.74316e8i | 0.906782 | − | 1.57059i | ||||
\(621\) | 1.77959e7 | − | 1.02744e7i | 0.0743095 | − | 0.0429026i | ||||
\(622\) | −1.05968e8 | + | 3.95479e8i | −0.440357 | + | 1.64344i | ||||
\(623\) | − | 3.86932e8i | − | 1.60019i | ||||||
\(624\) | −1.60964e8 | + | 6.35427e8i | −0.662484 | + | 2.61524i | ||||
\(625\) | 2.58911e8 | 1.06050 | ||||||||
\(626\) | 4.55626e8 | + | 1.22085e8i | 1.85731 | + | 0.497666i | ||||
\(627\) | 2.03768e8 | + | 3.52937e8i | 0.826673 | + | 1.43184i | ||||
\(628\) | 2.16440e7 | + | 1.24962e7i | 0.0873895 | + | 0.0504543i | ||||
\(629\) | −4.04876e7 | + | 4.04876e7i | −0.162693 | + | 0.162693i | ||||
\(630\) | 7.71802e7 | + | 2.88040e8i | 0.308663 | + | 1.15194i | ||||
\(631\) | −4.42001e7 | + | 1.18434e7i | −0.175928 | + | 0.0471398i | −0.345708 | − | 0.938342i | \(-0.612361\pi\) |
0.169779 | + | 0.985482i | \(0.445694\pi\) | |||||||
\(632\) | −7.04947e8 | − | 7.04947e8i | −2.79258 | − | 2.79258i | ||||
\(633\) | 8.19394e7 | − | 1.41923e8i | 0.323059 | − | 0.559554i | ||||
\(634\) | 1.16250e8 | − | 6.71167e7i | 0.456167 | − | 0.263368i | ||||
\(635\) | 6.09297e7 | − | 2.27393e8i | 0.237962 | − | 0.888087i | ||||
\(636\) | − | 7.17127e8i | − | 2.78756i | ||||||
\(637\) | 4.72542e7 | − | 4.85672e7i | 0.182819 | − | 0.187899i | ||||
\(638\) | −8.19958e8 | −3.15740 | ||||||||
\(639\) | −2.23672e8 | − | 5.99328e7i | −0.857254 | − | 0.229700i | ||||
\(640\) | −8.73362e7 | − | 1.51271e8i | −0.333161 | − | 0.577052i | ||||
\(641\) | 1.13878e8 | + | 6.57475e7i | 0.432380 | + | 0.249635i | 0.700360 | − | 0.713790i | \(-0.253023\pi\) |
−0.267980 | + | 0.963424i | \(0.586356\pi\) | |||||||
\(642\) | −3.30984e8 | + | 3.30984e8i | −1.25084 | + | 1.25084i | ||||
\(643\) | −6.76378e7 | − | 2.52428e8i | −0.254423 | − | 0.949520i | −0.968411 | − | 0.249361i | \(-0.919779\pi\) |
0.713987 | − | 0.700158i | \(-0.246887\pi\) | |||||||
\(644\) | −1.27906e8 | + | 3.42724e7i | −0.478889 | + | 0.128318i | ||||
\(645\) | −4.26656e7 | − | 4.26656e7i | −0.159001 | − | 0.159001i | ||||
\(646\) | 7.43765e7 | − | 1.28824e8i | 0.275892 | − | 0.477858i | ||||
\(647\) | −1.32388e8 | + | 7.64342e7i | −0.488805 | + | 0.282212i | −0.724079 | − | 0.689717i | \(-0.757735\pi\) |
0.235274 | + | 0.971929i | \(0.424401\pi\) | |||||||
\(648\) | 2.01218e8 | − | 7.50955e8i | 0.739505 | − | 2.75987i | ||||
\(649\) | 8.62380e7i | 0.315475i | ||||||||
\(650\) | −443158. | − | 3.23419e7i | −0.00161368 | − | 0.117767i | ||||
\(651\) | 2.37223e8 | 0.859834 | ||||||||
\(652\) | 9.04894e8 | + | 2.42466e8i | 3.26479 | + | 0.874797i | ||||
\(653\) | 2.22198e8 | + | 3.84859e8i | 0.797997 | + | 1.38217i | 0.920919 | + | 0.389755i | \(0.127440\pi\) |
−0.122922 | + | 0.992416i | \(0.539227\pi\) | |||||||
\(654\) | 3.49953e8 | + | 2.02045e8i | 1.25106 | + | 0.722297i | ||||
\(655\) | −1.75973e8 | + | 1.75973e8i | −0.626214 | + | 0.626214i | ||||
\(656\) | −4.69194e7 | − | 1.75105e8i | −0.166204 | − | 0.620281i | ||||
\(657\) | 1.17864e8 | − | 3.15817e7i | 0.415611 | − | 0.111363i | ||||
\(658\) | 9.61061e7 | + | 9.61061e7i | 0.337344 | + | 0.337344i | ||||
\(659\) | 1.85896e8 | − | 3.21981e8i | 0.649551 | − | 1.12506i | −0.333679 | − | 0.942687i | \(-0.608290\pi\) |
0.983230 | − | 0.182369i | \(-0.0583764\pi\) | |||||||
\(660\) | −1.17978e9 | + | 6.81144e8i | −4.10363 | + | 2.36923i | ||||
\(661\) | 9.01155e7 | − | 3.36315e8i | 0.312029 | − | 1.16451i | −0.614695 | − | 0.788765i | \(-0.710721\pi\) |
0.926724 | − | 0.375743i | \(-0.122612\pi\) | |||||||
\(662\) | − | 1.78552e8i | − | 0.615447i | ||||||
\(663\) | 3.80039e7 | + | 1.34437e8i | 0.130403 | + | 0.461294i | ||||
\(664\) | 8.24762e8 | 2.81724 | ||||||||
\(665\) | −2.09880e8 | − | 5.62371e7i | −0.713683 | − | 0.191231i | ||||
\(666\) | 1.25791e8 | + | 2.17876e8i | 0.425819 | + | 0.737541i | ||||
\(667\) | 7.38577e7 | + | 4.26418e7i | 0.248896 | + | 0.143700i | ||||
\(668\) | −4.94340e8 | + | 4.94340e8i | −1.65843 | + | 1.65843i | ||||
\(669\) | −1.54684e8 | − | 5.77290e8i | −0.516616 | − | 1.92804i | ||||
\(670\) | −8.26930e8 | + | 2.21575e8i | −2.74944 | + | 0.736710i | ||||
\(671\) | −2.10086e8 | − | 2.10086e8i | −0.695391 | − | 0.695391i | ||||
\(672\) | −2.28577e8 | + | 3.95906e8i | −0.753224 | + | 1.30462i | ||||
\(673\) | 1.17116e8 | − | 6.76168e7i | 0.384211 | − | 0.221824i | −0.295438 | − | 0.955362i | \(-0.595466\pi\) |
0.679649 | + | 0.733538i | \(0.262132\pi\) | |||||||
\(674\) | −8.63225e7 | + | 3.22160e8i | −0.281932 | + | 1.05218i | ||||
\(675\) | 6.84769e6i | 0.0222655i | ||||||||
\(676\) | 7.15009e8 | − | 1.95982e7i | 2.31457 | − | 0.0634420i | ||||
\(677\) | 3.59883e8 | 1.15983 | 0.579917 | − | 0.814676i | \(-0.303085\pi\) | ||||
0.579917 | + | 0.814676i | \(0.303085\pi\) | |||||||
\(678\) | 4.52287e8 | + | 1.21190e8i | 1.45119 | + | 0.388846i | ||||
\(679\) | −2.27579e8 | − | 3.94178e8i | −0.726980 | − | 1.25917i | ||||
\(680\) | 2.44646e8 | + | 1.41246e8i | 0.778056 | + | 0.449211i | ||||
\(681\) | −1.01554e7 | + | 1.01554e7i | −0.0321557 | + | 0.0321557i | ||||
\(682\) | 1.70669e8 | + | 6.36946e8i | 0.538025 | + | 2.00794i | ||||
\(683\) | −3.44365e8 | + | 9.22722e7i | −1.08083 | + | 0.289607i | −0.754935 | − | 0.655800i | \(-0.772331\pi\) |
−0.325893 | + | 0.945407i | \(0.605665\pi\) | |||||||
\(684\) | −3.22764e8 | − | 3.22764e8i | −1.00859 | − | 1.00859i | ||||
\(685\) | 1.44570e8 | − | 2.50402e8i | 0.449786 | − | 0.779052i | ||||
\(686\) | 5.51912e8 | − | 3.18646e8i | 1.70961 | − | 0.987044i | ||||
\(687\) | −3.96906e7 | + | 1.48127e8i | −0.122410 | + | 0.456841i | ||||
\(688\) | − | 1.10102e8i | − | 0.338087i | ||||||
\(689\) | −2.87348e8 | + | 8.12301e7i | −0.878516 | + | 0.248347i | ||||
\(690\) | 2.02885e8 | 0.617594 | ||||||||
\(691\) | −7.78186e7 | − | 2.08514e7i | −0.235857 | − | 0.0631978i | 0.138954 | − | 0.990299i | \(-0.455626\pi\) |
−0.374812 | + | 0.927101i | \(0.622293\pi\) | |||||||
\(692\) | −2.29244e8 | − | 3.97062e8i | −0.691797 | − | 1.19823i | ||||
\(693\) | −2.75159e8 | − | 1.58863e8i | −0.826769 | − | 0.477335i | ||||
\(694\) | 2.62608e8 | − | 2.62608e8i | 0.785651 | − | 0.785651i | ||||
\(695\) | −1.27147e8 | − | 4.74520e8i | −0.378750 | − | 1.41351i | ||||
\(696\) | 1.18597e9 | − | 3.17779e8i | 3.51758 | − | 0.942534i | ||||
\(697\) | −2.73202e7 | − | 2.73202e7i | −0.0806836 | − | 0.0806836i | ||||
\(698\) | −5.45427e8 | + | 9.44708e8i | −1.60388 | + | 2.77799i | ||||
\(699\) | 1.37764e7 | − | 7.95381e6i | 0.0403371 | − | 0.0232886i | ||||
\(700\) | 1.14209e7 | − | 4.26233e7i | 0.0332971 | − | 0.124266i | ||||
\(701\) | 3.75084e8i | 1.08887i | 0.838804 | + | 0.544433i | \(0.183255\pi\) | ||||
−0.838804 | + | 0.544433i | \(0.816745\pi\) | |||||||
\(702\) | −2.16810e8 | + | 2.97080e6i | −0.626712 | + | 0.00858740i | ||||
\(703\) | −1.83314e8 | −0.527629 | ||||||||
\(704\) | −1.90457e8 | − | 5.10328e7i | −0.545857 | − | 0.146262i | ||||
\(705\) | −7.27161e7 | − | 1.25948e8i | −0.207521 | − | 0.359438i | ||||
\(706\) | −8.93070e8 | − | 5.15614e8i | −2.53788 | − | 1.46525i | ||||
\(707\) | −9.19380e7 | + | 9.19380e7i | −0.260158 | + | 0.260158i | ||||
\(708\) | −5.88294e7 | − | 2.19554e8i | −0.165766 | − | 0.618646i | ||||
\(709\) | 3.97885e8 | − | 1.06613e8i | 1.11640 | − | 0.299138i | 0.346973 | − | 0.937875i | \(-0.387209\pi\) |
0.769425 | + | 0.638737i | \(0.220543\pi\) | |||||||
\(710\) | 5.71058e8 | + | 5.71058e8i | 1.59553 | + | 1.59553i | ||||
\(711\) | −2.18969e8 | + | 3.79265e8i | −0.609218 | + | 1.05520i | ||||
\(712\) | −1.39478e9 | + | 8.05274e8i | −3.86424 | + | 2.23102i | ||||
\(713\) | 1.77513e7 | − | 6.62486e7i | 0.0489734 | − | 0.182771i | ||||
\(714\) | 2.72910e8i | 0.749763i | ||||||||
\(715\) | 4.06565e8 | + | 3.95574e8i | 1.11227 | + | 1.08220i | ||||
\(716\) | 5.06028e8 | 1.37859 | ||||||||
\(717\) | 3.37643e8 | + | 9.04713e7i | 0.916011 | + | 0.245445i | ||||
\(718\) | −4.00339e8 | − | 6.93407e8i | −1.08157 | − | 1.87333i | ||||
\(719\) | 5.03062e8 | + | 2.90443e8i | 1.35343 | + | 0.781401i | 0.988728 | − | 0.149724i | \(-0.0478385\pi\) |
0.364699 | + | 0.931125i | \(0.381172\pi\) | |||||||
\(720\) | 4.11709e8 | − | 4.11709e8i | 1.10304 | − | 1.10304i | ||||
\(721\) | 5.13763e7 | + | 1.91739e8i | 0.137075 | + | 0.511569i | ||||
\(722\) | −2.01941e8 | + | 5.41099e7i | −0.536553 | + | 0.143769i | ||||
\(723\) | 4.68338e8 | + | 4.68338e8i | 1.23921 | + | 1.23921i | ||||
\(724\) | −2.31041e8 | + | 4.00175e8i | −0.608799 | + | 1.05447i | ||||
\(725\) | −2.46122e7 | + | 1.42099e7i | −0.0645858 | + | 0.0372886i | ||||
\(726\) | 3.00113e8 | − | 1.12004e9i | 0.784286 | − | 2.92699i | ||||
\(727\) | 1.59369e8i | 0.414762i | 0.978260 | + | 0.207381i | \(0.0664940\pi\) | ||||
−0.978260 | + | 0.207381i | \(0.933506\pi\) | |||||||
\(728\) | 7.69507e8 | + | 1.94929e8i | 1.99443 | + | 0.505222i | ||||
\(729\) | −1.65656e8 | −0.427587 | ||||||||
\(730\) | −4.11065e8 | − | 1.10144e8i | −1.05668 | − | 0.283135i | ||||
\(731\) | −1.17329e7 | − | 2.03220e7i | −0.0300368 | − | 0.0520253i | ||||
\(732\) | 6.78174e8 | + | 3.91544e8i | 1.72905 | + | 0.998269i | ||||
\(733\) | −1.65813e8 | + | 1.65813e8i | −0.421024 | + | 0.421024i | −0.885556 | − | 0.464532i | \(-0.846223\pi\) |
0.464532 | + | 0.885556i | \(0.346223\pi\) | |||||||
\(734\) | 5.12375e7 | + | 1.91221e8i | 0.129569 | + | 0.483557i | ||||
\(735\) | −1.36814e8 | + | 3.66593e7i | −0.344564 | + | 0.0923257i | ||||
\(736\) | 9.34592e7 | + | 9.34592e7i | 0.234417 | + | 0.234417i | ||||
\(737\) | 4.56078e8 | − | 7.89950e8i | 1.13930 | − | 1.97332i | ||||
\(738\) | −1.47018e8 | + | 8.48808e7i | −0.365764 | + | 0.211174i | ||||
\(739\) | −9.08333e7 | + | 3.38994e8i | −0.225067 | + | 0.839961i | 0.757311 | + | 0.653055i | \(0.226513\pi\) |
−0.982378 | + | 0.186907i | \(0.940154\pi\) | |||||||
\(740\) | − | 6.12771e8i | − | 1.51218i | ||||||
\(741\) | −2.18308e8 | + | 3.90376e8i | −0.536555 | + | 0.959464i | ||||
\(742\) | −5.83321e8 | −1.42789 | ||||||||
\(743\) | −2.80605e8 | − | 7.51879e7i | −0.684115 | − | 0.183308i | −0.100010 | − | 0.994986i | \(-0.531888\pi\) |
−0.584105 | + | 0.811678i | \(0.698554\pi\) | |||||||
\(744\) | −4.93704e8 | − | 8.55120e8i | −1.19880 | − | 2.07639i | ||||
\(745\) | −5.60674e8 | − | 3.23705e8i | −1.35594 | − | 0.782854i | ||||
\(746\) | 5.38854e8 | − | 5.38854e8i | 1.29794 | − | 1.29794i | ||||
\(747\) | −9.37703e7 | − | 3.49956e8i | −0.224959 | − | 0.839559i | ||||
\(748\) | −5.11748e8 | + | 1.37123e8i | −1.22279 | + | 0.327645i | ||||
\(749\) | 1.88023e8 | + | 1.88023e8i | 0.447472 | + | 0.447472i | ||||
\(750\) | 4.88809e8 | − | 8.46642e8i | 1.15866 | − | 2.00686i | ||||
\(751\) | −3.24188e8 | + | 1.87170e8i | −0.765379 | + | 0.441892i | −0.831224 | − | 0.555938i | \(-0.812359\pi\) |
0.0658446 | + | 0.997830i | \(0.479026\pi\) | |||||||
\(752\) | 6.86843e7 | − | 2.56333e8i | 0.161512 | − | 0.602770i | ||||
\(753\) | 9.21634e8i | 2.15861i | ||||||||
\(754\) | −4.60588e8 | − | 7.73102e8i | −1.07448 | − | 1.80353i | ||||
\(755\) | 2.36083e8 | 0.548560 | ||||||||
\(756\) | −2.85734e8 | − | 7.65622e7i | −0.661297 | − | 0.177194i | ||||
\(757\) | 3.02153e8 | + | 5.23344e8i | 0.696529 | + | 1.20642i | 0.969662 | + | 0.244448i | \(0.0786067\pi\) |
−0.273133 | + | 0.961976i | \(0.588060\pi\) | |||||||
\(758\) | 6.69493e8 | + | 3.86532e8i | 1.53723 | + | 0.887519i | ||||
\(759\) | −1.52855e8 | + | 1.52855e8i | −0.349586 | + | 0.349586i | ||||
\(760\) | 2.34078e8 | + | 8.73593e8i | 0.533237 | + | 1.99007i | ||||
\(761\) | −3.12034e8 | + | 8.36092e7i | −0.708024 | + | 0.189714i | −0.594822 | − | 0.803858i | \(-0.702777\pi\) |
−0.113202 | + | 0.993572i | \(0.536111\pi\) | |||||||
\(762\) | −6.69373e8 | − | 6.69373e8i | −1.51288 | − | 1.51288i | ||||
\(763\) | 1.14777e8 | − | 1.98799e8i | 0.258392 | − | 0.447549i | ||||
\(764\) | 1.28757e9 | − | 7.43378e8i | 2.88729 | − | 1.66698i | ||||
\(765\) | 3.21177e7 | − | 1.19865e8i | 0.0717397 | − | 0.267736i | ||||
\(766\) | − | 5.17956e8i | − | 1.15241i | ||||||
\(767\) | −8.13101e7 | + | 4.84418e7i | −0.180201 | + | 0.107358i | ||||
\(768\) | −9.26833e8 | −2.04606 | ||||||||
\(769\) | −3.81560e8 | − | 1.02239e8i | −0.839042 | − | 0.224821i | −0.186387 | − | 0.982476i | \(-0.559678\pi\) |
−0.652654 | + | 0.757656i | \(0.726345\pi\) | |||||||
\(770\) | 5.54052e8 | + | 9.59647e8i | 1.21361 | + | 2.10203i | ||||
\(771\) | 5.66374e8 | + | 3.26996e8i | 1.23578 | + | 0.713477i | ||||
\(772\) | 3.41797e8 | − | 3.41797e8i | 0.742875 | − | 0.742875i | ||||
\(773\) | −3.61180e7 | − | 1.34794e8i | −0.0781960 | − | 0.291832i | 0.915743 | − | 0.401765i | \(-0.131603\pi\) |
−0.993939 | + | 0.109933i | \(0.964936\pi\) | |||||||
\(774\) | −9.95912e7 | + | 2.66854e7i | −0.214782 | + | 0.0575507i | ||||
\(775\) | 1.61612e7 | + | 1.61612e7i | 0.0347191 | + | 0.0347191i | ||||
\(776\) | −9.47263e8 | + | 1.64071e9i | −2.02715 | + | 3.51112i | ||||
\(777\) | 2.91258e8 | − | 1.68158e8i | 0.620891 | − | 0.358471i | ||||
\(778\) | 2.90049e8 | − | 1.08248e9i | 0.615932 | − | 2.29869i | ||||
\(779\) | − | 1.23696e8i | − | 0.261664i | ||||||
\(780\) | −1.30493e9 | − | 7.29747e8i | −2.74981 | − | 1.53776i | ||||
\(781\) | −8.60477e8 | −1.80628 | ||||||||
\(782\) | 7.62145e7 | + | 2.04216e7i | 0.159374 | + | 0.0427041i | ||||
\(783\) | 9.52587e7 | + | 1.64993e8i | 0.198436 | + | 0.343700i | ||||
\(784\) | −2.23831e8 | − | 1.29229e8i | −0.464485 | − | 0.268171i | ||||
\(785\) | −1.53815e7 | + | 1.53815e7i | −0.0317972 | + | 0.0317972i | ||||
\(786\) | 2.59005e8 | + | 9.66620e8i | 0.533385 | + | 1.99062i | ||||
\(787\) | −1.50176e8 | + | 4.02396e7i | −0.308090 | + | 0.0825524i | −0.409551 | − | 0.912287i | \(-0.634315\pi\) |
0.101462 | + | 0.994839i | \(0.467648\pi\) | |||||||
\(788\) | −5.15792e8 | − | 5.15792e8i | −1.05413 | − | 1.05413i | ||||
\(789\) | 3.72128e8 | − | 6.44545e8i | 0.757638 | − | 1.31227i | ||||
\(790\) | 1.32273e9 | − | 7.63676e8i | 2.68280 | − | 1.54892i | ||||
\(791\) | 6.88448e7 | − | 2.56932e8i | 0.139105 | − | 0.519145i | ||||
\(792\) | 1.32249e9i | 2.66205i | ||||||||
\(793\) | 8.00710e7 | − | 3.16090e8i | 0.160567 | − | 0.633858i | ||||
\(794\) | 8.45948e8 | 1.68998 | ||||||||
\(795\) | 6.02901e8 | + | 1.61547e8i | 1.19990 | + | 0.321512i | ||||
\(796\) | 9.08604e8 | + | 1.57375e9i | 1.80151 | + | 3.12030i | ||||
\(797\) | −4.31969e8 | − | 2.49397e8i | −0.853252 | − | 0.492626i | 0.00849450 | − | 0.999964i | \(-0.497296\pi\) |
−0.861747 | + | 0.507338i | \(0.830629\pi\) | |||||||
\(798\) | −6.17820e8 | + | 6.17820e8i | −1.21577 | + | 1.21577i | ||||
\(799\) | −1.46386e7 | − | 5.46321e7i | −0.0286985 | − | 0.107104i | ||||
\(800\) | −4.25438e7 | + | 1.13996e7i | −0.0830933 | + | 0.0222648i | ||||
\(801\) | 5.00264e8 | + | 5.00264e8i | 0.973423 | + | 0.973423i | ||||
\(802\) | −6.60019e7 | + | 1.14319e8i | −0.127948 | + | 0.221612i | ||||
\(803\) | 3.92682e8 | − | 2.26715e8i | 0.758393 | − | 0.437858i | ||||
\(804\) | −6.22249e8 | + | 2.32226e9i | −1.19728 | + | 4.46831i | ||||
\(805\) | − | 1.15254e8i | − | 0.220936i | ||||||
\(806\) | −5.04681e8 | + | 5.18703e8i | −0.963854 | + | 0.990635i | ||||
\(807\) | −6.18544e8 | −1.17693 | ||||||||
\(808\) | 5.22748e8 | + | 1.40070e8i | 0.990965 | + | 0.265528i | ||||
\(809\) | −3.23258e8 | − | 5.59899e8i | −0.610525 | − | 1.05746i | −0.991152 | − | 0.132732i | \(-0.957625\pi\) |
0.380627 | − | 0.924729i | \(-0.375708\pi\) | |||||||
\(810\) | 1.03150e9 | + | 5.95536e8i | 1.94095 | + | 1.12061i | ||||
\(811\) | 3.77900e8 | − | 3.77900e8i | 0.708458 | − | 0.708458i | −0.257753 | − | 0.966211i | \(-0.582982\pi\) |
0.966211 | + | 0.257753i | \(0.0829819\pi\) | |||||||
\(812\) | −3.17754e8 | − | 1.18587e9i | −0.593503 | − | 2.21498i | ||||
\(813\) | 1.27704e7 | − | 3.42183e6i | 0.0237648 | − | 0.00636776i | ||||
\(814\) | 6.61050e8 | + | 6.61050e8i | 1.22563 | + | 1.22563i | ||||
\(815\) | −4.07690e8 | + | 7.06140e8i | −0.753108 | + | 1.30442i | ||||
\(816\) | 4.61472e8 | − | 2.66431e8i | 0.849326 | − | 0.490359i | ||||
\(817\) | 1.94442e7 | − | 7.25668e7i | 0.0356553 | − | 0.133067i | ||||
\(818\) | − | 4.86067e8i | − | 0.888047i | ||||||
\(819\) | −4.77762e6 | − | 3.48673e8i | −0.00869681 | − | 0.634696i | ||||
\(820\) | 4.13485e8 | 0.749925 | ||||||||
\(821\) | −3.68246e8 | − | 9.86712e7i | −0.665439 | − | 0.178304i | −0.0897397 | − | 0.995965i | \(-0.528604\pi\) |
−0.575700 | + | 0.817661i | \(0.695270\pi\) | |||||||
\(822\) | −5.81337e8 | − | 1.00690e9i | −1.04668 | − | 1.81290i | ||||
\(823\) | 8.07981e8 | + | 4.66488e8i | 1.44944 | + | 0.836837i | 0.998448 | − | 0.0556888i | \(-0.0177355\pi\) |
0.450996 | + | 0.892526i | \(0.351069\pi\) | |||||||
\(824\) | 5.84239e8 | − | 5.84239e8i | 1.04426 | − | 1.04426i | ||||
\(825\) | −1.86443e7 | − | 6.95814e7i | −0.0332035 | − | 0.123917i | ||||
\(826\) | −1.78588e8 | + | 4.78526e7i | −0.316893 | + | 0.0849113i | ||||
\(827\) | −3.66134e7 | − | 3.66134e7i | −0.0647327 | − | 0.0647327i | 0.673999 | − | 0.738732i | \(-0.264575\pi\) |
−0.738732 | + | 0.673999i | \(0.764575\pi\) | |||||||
\(828\) | 1.21059e8 | − | 2.09681e8i | 0.213259 | − | 0.369375i | ||||
\(829\) | −5.13854e8 | + | 2.96674e8i | −0.901937 | + | 0.520734i | −0.877828 | − | 0.478976i | \(-0.841008\pi\) |
−0.0241088 | + | 0.999709i | \(0.507675\pi\) | |||||||
\(830\) | −3.27034e8 | + | 1.22051e9i | −0.571951 | + | 2.13455i | ||||
\(831\) | − | 1.47632e9i | − | 2.57263i | ||||||
\(832\) | −5.88672e7 | − | 2.08240e8i | −0.102212 | − | 0.361571i | ||||
\(833\) | −5.50848e7 | −0.0953008 | ||||||||
\(834\) | −1.90812e9 | − | 5.11278e8i | −3.28932 | − | 0.881371i | ||||
\(835\) | −3.04240e8 | − | 5.26960e8i | −0.522586 | − | 0.905145i | ||||
\(836\) | −1.46893e9 | − | 8.48088e8i | −2.51410 | − | 1.45152i | ||||
\(837\) | 1.08340e8 | − | 1.08340e8i | 0.184761 | − | 0.184761i | ||||
\(838\) | 9.81596e6 | + | 3.66337e7i | 0.0166802 | + | 0.0622513i | ||||
\(839\) | 1.93161e8 | − | 5.17574e7i | 0.327065 | − | 0.0876369i | −0.0915501 | − | 0.995800i | \(-0.529182\pi\) |
0.418615 | + | 0.908164i | \(0.362516\pi\) | |||||||
\(840\) | −1.17328e9 | − | 1.17328e9i | −1.97954 | − | 1.97954i | ||||
\(841\) | −9.79379e7 | + | 1.69633e8i | −0.164650 | + | 0.285183i | ||||
\(842\) | −3.59136e8 | + | 2.07347e8i | −0.601620 | + | 0.347346i | ||||
\(843\) | 3.00217e8 | − | 1.12043e9i | 0.501133 | − | 1.87025i | ||||
\(844\) | 6.82067e8i | 1.13449i | ||||||||
\(845\) | −1.44593e8 | + | 6.05535e8i | −0.239650 | + | 1.00362i | ||||
\(846\) | −2.48511e8 | −0.410425 | ||||||||
\(847\) | −6.36262e8 | − | 1.70486e8i | −1.04709 | − | 0.280568i | ||||
\(848\) | 5.69473e8 | + | 9.86356e8i | 0.933868 | + | 1.61751i | ||||
\(849\) | −1.26467e8 | − | 7.30155e7i | −0.206658 | − | 0.119314i | ||||
\(850\) | −1.85923e7 | + | 1.85923e7i | −0.0302745 | + | 0.0302745i | ||||
\(851\) | −2.51663e7 | − | 9.39218e7i | −0.0408348 | − | 0.152398i | ||||
\(852\) | 2.19070e9 | − | 5.86995e8i | 3.54212 | − | 0.949108i | ||||
\(853\) | 1.53296e7 | + | 1.53296e7i | 0.0246992 | + | 0.0246992i | 0.719349 | − | 0.694649i | \(-0.244440\pi\) |
−0.694649 | + | 0.719349i | \(0.744440\pi\) | |||||||
\(854\) | 3.18487e8 | − | 5.51636e8i | 0.511350 | − | 0.885685i | ||||
\(855\) | 3.44062e8 | − | 1.98644e8i | 0.550476 | − | 0.317817i | ||||
\(856\) | 2.86458e8 | − | 1.06908e9i | 0.456709 | − | 1.70446i | ||||
\(857\) | 1.00179e9i | 1.59159i | 0.605564 | + | 0.795797i | \(0.292948\pi\) | ||||
−0.605564 | + | 0.795797i | \(0.707052\pi\) | |||||||
\(858\) | 2.19498e9 | − | 6.20498e8i | 3.47512 | − | 0.982378i | ||||
\(859\) | 4.66899e8 | 0.736620 | 0.368310 | − | 0.929703i | \(-0.379937\pi\) | ||||
0.368310 | + | 0.929703i | \(0.379937\pi\) | |||||||
\(860\) | 2.42572e8 | + | 6.49970e7i | 0.381369 | + | 0.102188i | ||||
\(861\) | 1.13469e8 | + | 1.96535e8i | 0.177775 | + | 0.307915i | ||||
\(862\) | −9.09414e8 | − | 5.25050e8i | −1.41984 | − | 0.819745i | ||||
\(863\) | −3.35295e8 | + | 3.35295e8i | −0.521668 | + | 0.521668i | −0.918075 | − | 0.396407i | \(-0.870257\pi\) |
0.396407 | + | 0.918075i | \(0.370257\pi\) | |||||||
\(864\) | 7.64193e7 | + | 2.85201e8i | 0.118485 | + | 0.442190i | ||||
\(865\) | 3.85458e8 | − | 1.03283e8i | 0.595564 | − | 0.159581i | ||||
\(866\) | 1.25514e8 | + | 1.25514e8i | 0.193258 | + | 0.193258i | ||||
\(867\) | −3.72924e8 | + | 6.45923e8i | −0.572220 | + | 0.991113i | ||||
\(868\) | −8.55053e8 | + | 4.93665e8i | −1.30748 | + | 0.754872i | ||||
\(869\) | −4.21191e8 | + | 1.57191e9i | −0.641830 | + | 2.39534i | ||||
\(870\) | 1.88103e9i | 2.85653i | ||||||||
\(871\) | 1.00100e9 | − | 1.37160e7i | 1.51488 | − | 0.0207574i | ||||
\(872\) | −9.55480e8 | −1.44103 | ||||||||
\(873\) | 8.03869e8 | + | 2.15396e8i | 1.20821 | + | 0.323739i | ||||
\(874\) | 1.26305e8 | + | 2.18767e8i | 0.189185 | + | 0.327679i | ||||
\(875\) | −4.80955e8 | − | 2.77679e8i | −0.717926 | − | 0.414495i | ||||
\(876\) | −8.45073e8 | + | 8.45073e8i | −1.25714 | + | 1.25714i | ||||
\(877\) | 2.43048e8 | + | 9.07067e8i | 0.360324 | + | 1.34475i | 0.873651 | + | 0.486554i | \(0.161746\pi\) |
−0.513327 | + | 0.858193i | \(0.671587\pi\) | |||||||
\(878\) | 4.86841e8 | − | 1.30449e8i | 0.719289 | − | 0.192733i | ||||
\(879\) | 1.90708e8 | + | 1.90708e8i | 0.280803 | + | 0.280803i | ||||
\(880\) | 1.08180e9 | − | 1.87373e9i | 1.58744 | − | 2.74953i | ||||
\(881\) | 1.01686e9 | − | 5.87086e8i | 1.48708 | − | 0.858566i | 0.487189 | − | 0.873297i | \(-0.338022\pi\) |
0.999891 | + | 0.0147306i | \(0.00468906\pi\) | |||||||
\(882\) | −6.26425e7 | + | 2.33785e8i | −0.0912984 | + | 0.340730i | ||||
\(883\) | − | 1.13709e9i | − | 1.65163i | −0.563944 | − | 0.825813i | \(-0.690717\pi\) | ||
0.563944 | − | 0.825813i | \(-0.309283\pi\) | |||||||
\(884\) | −4.16747e8 | − | 4.05481e8i | −0.603276 | − | 0.586967i | ||||
\(885\) | 1.97835e8 | 0.285413 | ||||||||
\(886\) | −5.56127e8 | − | 1.49014e8i | −0.799600 | − | 0.214252i | ||||
\(887\) | −1.36188e8 | − | 2.35884e8i | −0.195150 | − | 0.338009i | 0.751800 | − | 0.659391i | \(-0.229186\pi\) |
−0.946950 | + | 0.321382i | \(0.895853\pi\) | |||||||
\(888\) | −1.21232e9 | − | 6.99933e8i | −1.73132 | − | 0.999580i | ||||
\(889\) | −3.80253e8 | + | 3.80253e8i | −0.541212 | + | 0.541212i | ||||
\(890\) | −6.38613e8 | − | 2.38334e9i | −0.905874 | − | 3.38077i | ||||
\(891\) | −1.22582e9 | + | 3.28457e8i | −1.73298 | + | 0.464349i | ||||
\(892\) | 1.75889e9 | + | 1.75889e9i | 2.47825 | + | 2.47825i | ||||
\(893\) | 9.05382e7 | − | 1.56817e8i | 0.127139 | − | 0.220211i | ||||
\(894\) | −2.25455e9 | + | 1.30167e9i | −3.15535 | + | 1.82174i | ||||
\(895\) | −1.13993e8 | + | 4.25427e8i | −0.159004 | + | 0.593411i | ||||
\(896\) | 3.99005e8i | 0.554695i | ||||||||
\(897\) | −2.29982e8 | − | 5.82583e7i | −0.318652 | − | 0.0807199i | ||||
\(898\) | 1.77182e9 | 2.44676 | ||||||||
\(899\) | 6.14218e8 | + | 1.64579e8i | 0.845364 | + | 0.226515i | ||||
\(900\) | 4.03416e7 | + | 6.98737e7i | 0.0553382 | + | 0.0958486i | ||||
\(901\) | 2.10221e8 | + | 1.21371e8i | 0.287410 | + | 0.165936i | ||||
\(902\) | −4.46062e8 | + | 4.46062e8i | −0.607821 | + | 0.607821i | ||||
\(903\) | 3.56733e7 | + | 1.33135e8i | 0.0484485 | + | 0.180812i | ||||
\(904\) | −1.06944e9 | + | 2.86556e8i | −1.44761 | + | 0.387886i | ||||
\(905\) | −2.84387e8 | − | 2.84387e8i | −0.383676 | − | 0.383676i | ||||
\(906\) | 4.74663e8 | − | 8.22141e8i | 0.638265 | − | 1.10551i | ||||
\(907\) | 6.19930e8 | − | 3.57917e8i | 0.830846 | − | 0.479689i | −0.0232963 | − | 0.999729i | \(-0.507416\pi\) |
0.854142 | + | 0.520039i | \(0.174083\pi\) | |||||||
\(908\) | 1.54709e7 | − | 5.77380e7i | 0.0206660 | − | 0.0771267i | ||||
\(909\) | − | 2.37733e8i | − | 0.316517i | ||||||
\(910\) | −5.93586e8 | + | 1.06145e9i | −0.787697 | + | 1.40855i | ||||
\(911\) | 3.04491e8 | 0.402735 | 0.201367 | − | 0.979516i | \(-0.435461\pi\) | ||||
0.201367 | + | 0.979516i | \(0.435461\pi\) | |||||||
\(912\) | 1.64784e9 | + | 4.41539e8i | 2.17236 | + | 0.582082i | ||||
\(913\) | −6.73148e8 | − | 1.16593e9i | −0.884500 | − | 1.53200i | ||||
\(914\) | −8.19366e8 | − | 4.73061e8i | −1.07310 | − | 0.619553i | ||||
\(915\) | −4.81950e8 | + | 4.81950e8i | −0.629127 | + | 0.629127i | ||||
\(916\) | −1.65193e8 | − | 6.16509e8i | −0.214934 | − | 0.802145i | ||||
\(917\) | 5.49110e8 | − | 1.47134e8i | 0.712118 | − | 0.190811i | ||||
\(918\) | 1.24637e8 | + | 1.24637e8i | 0.161109 | + | 0.161109i | ||||
\(919\) | −8.70746e6 | + | 1.50818e7i | −0.0112188 | + | 0.0194315i | −0.871580 | − | 0.490253i | \(-0.836904\pi\) |
0.860362 | + | 0.509684i | \(0.170238\pi\) | |||||||
\(920\) | −4.15455e8 | + | 2.39863e8i | −0.533532 | + | 0.308035i | ||||
\(921\) | 3.76901e7 | − | 1.40661e8i | 0.0482445 | − | 0.180051i | ||||
\(922\) | − | 1.71912e8i | − | 0.219338i | ||||||
\(923\) | −4.83349e8 | − | 8.11306e8i | −0.614689 | − | 1.03176i | ||||
\(924\) | 3.11188e9 | 3.94464 | ||||||||
\(925\) | 3.12984e7 | + | 8.38638e6i | 0.0395455 | + | 0.0105962i | ||||
\(926\) | 3.24757e7 | + | 5.62496e7i | 0.0409003 | + | 0.0708414i | ||||
\(927\) | −3.14323e8 | − | 1.81475e8i | −0.394582 | − | 0.227812i | ||||
\(928\) | −8.66499e8 | + | 8.66499e8i | −1.08424 | + | 1.08424i | ||||
\(929\) | 8.91694e7 | + | 3.32785e8i | 0.111216 | + | 0.415065i | 0.998976 | − | 0.0452421i | \(-0.0144059\pi\) |
−0.887760 | + | 0.460307i | \(0.847739\pi\) | |||||||
\(930\) | 1.46119e9 | − | 3.91526e8i | 1.81660 | − | 0.486756i | ||||
\(931\) | −1.24702e8 | − | 1.24702e8i | −0.154535 | − | 0.154535i | ||||
\(932\) | −3.31039e7 | + | 5.73377e7i | −0.0408914 | + | 0.0708260i | ||||
\(933\) | −8.66681e8 | + | 5.00379e8i | −1.06712 | + | 0.616104i | ||||
\(934\) | −3.09033e8 | + | 1.15333e9i | −0.379284 | + | 1.41551i | ||||
\(935\) | − | 4.61125e8i | − | 0.564136i | ||||||
\(936\) | −1.24692e9 | + | 7.42870e8i | −1.52058 | + | 0.905911i | ||||
\(937\) | −1.38370e9 | −1.68199 | −0.840995 | − | 0.541042i | \(-0.818030\pi\) | ||||
−0.840995 | + | 0.541042i | \(0.818030\pi\) | |||||||
\(938\) | 1.88896e9 | + | 5.06146e8i | 2.28884 | + | 0.613292i | ||||
\(939\) | 5.76479e8 | + | 9.98491e8i | 0.696284 | + | 1.20600i | ||||
\(940\) | 5.24198e8 | + | 3.02646e8i | 0.631120 | + | 0.364377i | ||||
\(941\) | −4.02570e7 | + | 4.02570e7i | −0.0483140 | + | 0.0483140i | −0.730851 | − | 0.682537i | \(-0.760877\pi\) |
0.682537 | + | 0.730851i | \(0.260877\pi\) | |||||||
\(942\) | 2.26391e7 | + | 8.44904e7i | 0.0270837 | + | 0.101078i | ||||
\(943\) | 6.33765e7 | − | 1.69817e7i | 0.0755776 | − | 0.0202510i | ||||
\(944\) | 2.55264e8 | + | 2.55264e8i | 0.303441 | + | 0.303441i | ||||
\(945\) | 1.28734e8 | − | 2.22974e8i | 0.152545 | − | 0.264216i | ||||
\(946\) | −3.31802e8 | + | 1.91566e8i | −0.391927 | + | 0.226279i | ||||
\(947\) | 3.08811e8 | − | 1.15250e9i | 0.363616 | − | 1.35703i | −0.505671 | − | 0.862727i | \(-0.668755\pi\) |
0.869287 | − | 0.494308i | \(-0.164578\pi\) | |||||||
\(948\) | − | 4.28926e9i | − | 5.03451i | ||||||
\(949\) | 4.34338e8 | + | 2.42892e8i | 0.508193 | + | 0.284194i | ||||
\(950\) | −8.41797e7 | −0.0981830 | ||||||||
\(951\) | 3.16923e8 | + | 8.49192e7i | 0.368478 | + | 0.0987334i | ||||
\(952\) | −3.22650e8 | − | 5.58846e8i | −0.373956 | − | 0.647711i | ||||
\(953\) | 1.34625e7 | + | 7.77257e6i | 0.0155542 | + | 0.00898019i | 0.507757 | − | 0.861500i | \(-0.330475\pi\) |
−0.492203 | + | 0.870481i | \(0.663808\pi\) | |||||||
\(954\) | 7.54174e8 | − | 7.54174e8i | 0.868613 | − | 0.868613i | ||||
\(955\) | 3.34921e8 | + | 1.24994e9i | 0.384531 | + | 1.43509i | ||||
\(956\) | −1.40528e9 | + | 3.76544e8i | −1.60838 | + | 0.430965i | ||||
\(957\) | −1.41718e9 | − | 1.41718e9i | −1.61692 | − | 1.61692i | ||||
\(958\) | −3.71821e8 | + | 6.44014e8i | −0.422900 | + | 0.732485i | ||||
\(959\) | −5.71995e8 | + | 3.30242e8i | −0.648540 | + | 0.374435i | ||||
\(960\) | −1.17072e8 | + | 4.36920e8i | −0.132325 | + | 0.493842i | ||||
\(961\) | 3.76120e8i | 0.423796i | ||||||||
\(962\) | −2.51949e8 | + | 9.94601e8i | −0.283001 | + | 1.11718i | ||||
\(963\) | −4.86189e8 | −0.544411 | ||||||||
\(964\) | −2.66270e9 | − | 7.13469e8i | −2.97229 | − | 0.796423i | ||||
\(965\) | 2.10358e8 | + | 3.64350e8i | 0.234087 | + | 0.405450i | ||||
\(966\) | −4.01361e8 | − | 2.31726e8i | −0.445250 | − | 0.257065i | ||||
\(967\) | 2.45416e8 | − | 2.45416e8i | 0.271409 | − | 0.271409i | −0.558258 | − | 0.829667i | \(-0.688530\pi\) |
0.829667 | + | 0.558258i | \(0.188530\pi\) | |||||||
\(968\) | 7.09622e8 | + | 2.64834e9i | 0.782350 | + | 2.91977i | ||||
\(969\) | 3.51203e8 | − | 9.41047e7i | 0.386000 | − | 0.103428i | ||||
\(970\) | −2.05236e9 | − | 2.05236e9i | −2.24874 | − | 2.24874i | ||||
\(971\) | 2.93583e8 | − | 5.08501e8i | 0.320681 | − | 0.555436i | −0.659948 | − | 0.751312i | \(-0.729422\pi\) |
0.980629 | + | 0.195876i | \(0.0627549\pi\) | |||||||
\(972\) | 2.26288e9 | − | 1.30647e9i | 2.46413 | − | 1.42266i | ||||
\(973\) | −2.90443e8 | + | 1.08395e9i | −0.315299 | + | 1.17671i | ||||
\(974\) | − | 2.95699e9i | − | 3.20017i | ||||||
\(975\) | 5.51324e7 | − | 5.66643e7i | 0.0594830 | − | 0.0611358i | ||||
\(976\) | −1.24371e9 | −1.33773 | ||||||||
\(977\) | 3.81612e8 | + | 1.02253e8i | 0.409203 | + | 0.109646i | 0.457548 | − | 0.889185i | \(-0.348728\pi\) |
−0.0483447 | + | 0.998831i | \(0.515395\pi\) | |||||||
\(978\) | 1.63938e9 | + | 2.83949e9i | 1.75252 | + | 3.03546i | ||||
\(979\) | 2.27675e9 | + | 1.31448e9i | 2.42643 | + | 1.40090i | ||||
\(980\) | 4.16848e8 | − | 4.16848e8i | 0.442894 | − | 0.442894i | ||||
\(981\) | 1.08632e8 | + | 4.05421e8i | 0.115067 | + | 0.429437i | ||||
\(982\) | 2.58690e9 | − | 6.93159e8i | 2.73178 | − | 0.731978i | ||||
\(983\) | 5.04994e8 | + | 5.04994e8i | 0.531650 | + | 0.531650i | 0.921063 | − | 0.389413i | \(-0.127322\pi\) |
−0.389413 | + | 0.921063i | \(0.627322\pi\) | |||||||
\(984\) | 4.72300e8 | − | 8.18047e8i | 0.495715 | − | 0.858604i | ||||
\(985\) | 5.49827e8 | − | 3.17443e8i | 0.575331 | − | 0.332167i | ||||
\(986\) | −1.89337e8 | + | 7.06617e8i | −0.197517 | + | 0.737145i | ||||
\(987\) | 3.32211e8i | 0.345512i | ||||||||
\(988\) | −2.55052e7 | − | 1.86138e9i | −0.0264459 | − | 1.93003i | ||||
\(989\) | 3.98494e7 | 0.0411939 | ||||||||
\(990\) | −1.95706e9 | − | 5.24392e8i | −2.01696 | − | 0.540444i | ||||
\(991\) | −5.63208e8 | − | 9.75505e8i | −0.578692 | − | 1.00232i | −0.995630 | − | 0.0933895i | \(-0.970230\pi\) |
0.416937 | − | 0.908935i | \(-0.363104\pi\) | |||||||
\(992\) | 8.53457e8 | + | 4.92744e8i | 0.874272 | + | 0.504761i | ||||
\(993\) | 3.08602e8 | − | 3.08602e8i | 0.315174 | − | 0.315174i | ||||
\(994\) | −4.77470e8 | − | 1.78194e9i | −0.486169 | − | 1.81441i | ||||
\(995\) | −1.52776e9 | + | 4.09362e8i | −1.55091 | + | 0.415564i | ||||
\(996\) | 2.50914e9 | + | 2.50914e9i | 2.53949 | + | 2.53949i | ||||
\(997\) | 1.98946e8 | − | 3.44585e8i | 0.200748 | − | 0.347705i | −0.748022 | − | 0.663674i | \(-0.768996\pi\) |
0.948770 | + | 0.315969i | \(0.102330\pi\) | |||||||
\(998\) | −1.48424e9 | + | 8.56925e8i | −1.49318 | + | 0.862087i | ||||
\(999\) | 5.62197e7 | − | 2.09815e8i | 0.0563887 | − | 0.210446i |
(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 | 13.7.f.a.2.1 | ✓ | 24 | |
13.7 | odd | 12 | inner | 13.7.f.a.7.1 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
13.7.f.a.2.1 | ✓ | 24 | 1.1 | even | 1 | trivial | |
13.7.f.a.7.1 | yes | 24 | 13.7 | odd | 12 | inner |