Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,7,Mod(5,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 4]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.5");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.h (of order \(10\), 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: | \(7.59178475946\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 5.17 | ||
Character | \(\chi\) | \(=\) | 33.5 |
Dual form | 33.7.h.a.20.17 |
$q$-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 \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 9.48700 | − | 3.08251i | 1.18588 | − | 0.385314i | 0.351329 | − | 0.936252i | \(-0.385730\pi\) |
0.834546 | + | 0.550938i | \(0.185730\pi\) | |||||||
\(3\) | −26.6534 | + | 4.31225i | −0.987164 | + | 0.159713i | ||||
\(4\) | 28.7242 | − | 20.8694i | 0.448816 | − | 0.326084i | ||||
\(5\) | 210.493 | + | 68.3933i | 1.68394 | + | 0.547146i | 0.985670 | − | 0.168686i | \(-0.0539524\pi\) |
0.698272 | + | 0.715832i | \(0.253952\pi\) | |||||||
\(6\) | −239.568 | + | 123.070i | −1.10911 | + | 0.569768i | ||||
\(7\) | 290.276 | − | 210.898i | 0.846286 | − | 0.614863i | −0.0778334 | − | 0.996966i | \(-0.524800\pi\) |
0.924120 | + | 0.382104i | \(0.124800\pi\) | |||||||
\(8\) | −167.074 | + | 229.958i | −0.326316 | + | 0.449136i | ||||
\(9\) | 691.809 | − | 229.872i | 0.948984 | − | 0.315325i | ||||
\(10\) | 2207.77 | 2.20777 | ||||||||
\(11\) | 979.624 | − | 901.054i | 0.736006 | − | 0.676975i | ||||
\(12\) | −675.604 | + | 680.105i | −0.390975 | + | 0.393580i | ||||
\(13\) | 622.975 | + | 1917.32i | 0.283557 | + | 0.872699i | 0.986827 | + | 0.161776i | \(0.0517223\pi\) |
−0.703270 | + | 0.710922i | \(0.748278\pi\) | |||||||
\(14\) | 2103.75 | − | 2895.57i | 0.766674 | − | 1.05524i | ||||
\(15\) | −5905.28 | − | 915.217i | −1.74971 | − | 0.271175i | ||||
\(16\) | −1578.37 | + | 4857.73i | −0.385344 | + | 1.18597i | ||||
\(17\) | −3892.09 | − | 1264.62i | −0.792202 | − | 0.257402i | −0.115161 | − | 0.993347i | \(-0.536738\pi\) |
−0.677042 | + | 0.735945i | \(0.736738\pi\) | |||||||
\(18\) | 5854.61 | − | 4313.31i | 1.00388 | − | 0.739593i | ||||
\(19\) | −2591.87 | − | 1883.10i | −0.377879 | − | 0.274545i | 0.382592 | − | 0.923917i | \(-0.375032\pi\) |
−0.760470 | + | 0.649373i | \(0.775032\pi\) | |||||||
\(20\) | 7473.56 | − | 2428.31i | 0.934195 | − | 0.303538i | ||||
\(21\) | −6827.41 | + | 6872.89i | −0.737221 | + | 0.742133i | ||||
\(22\) | 6516.18 | − | 11568.0i | 0.611963 | − | 1.08640i | ||||
\(23\) | 8032.42i | 0.660181i | 0.943949 | + | 0.330090i | \(0.107079\pi\) | ||||
−0.943949 | + | 0.330090i | \(0.892921\pi\) | |||||||
\(24\) | 3461.46 | − | 6849.62i | 0.250395 | − | 0.495488i | ||||
\(25\) | 26988.7 | + | 19608.4i | 1.72728 | + | 1.25494i | ||||
\(26\) | 11820.3 | + | 16269.3i | 0.672526 | + | 0.925653i | ||||
\(27\) | −17447.8 | + | 9110.13i | −0.886440 | + | 0.462843i | ||||
\(28\) | 3936.65 | − | 12115.8i | 0.179330 | − | 0.551920i | ||||
\(29\) | −18470.0 | − | 25421.8i | −0.757309 | − | 1.04235i | −0.997433 | − | 0.0716044i | \(-0.977188\pi\) |
0.240124 | − | 0.970742i | \(-0.422812\pi\) | |||||||
\(30\) | −58844.6 | + | 9520.44i | −2.17943 | + | 0.352609i | ||||
\(31\) | −13111.2 | − | 40352.2i | −0.440107 | − | 1.35451i | −0.887762 | − | 0.460303i | \(-0.847741\pi\) |
0.447655 | − | 0.894206i | \(-0.352259\pi\) | |||||||
\(32\) | 32759.0i | 0.999726i | ||||||||
\(33\) | −22224.8 | + | 28240.5i | −0.618437 | + | 0.785835i | ||||
\(34\) | −40822.4 | −1.03863 | ||||||||
\(35\) | 75525.0 | − | 24539.6i | 1.76152 | − | 0.572351i | ||||
\(36\) | 15074.4 | − | 21040.5i | 0.323096 | − | 0.450971i | ||||
\(37\) | −9972.40 | + | 7245.37i | −0.196877 | + | 0.143039i | −0.681856 | − | 0.731486i | \(-0.738827\pi\) |
0.484980 | + | 0.874526i | \(0.338827\pi\) | |||||||
\(38\) | −30393.8 | − | 9875.53i | −0.553903 | − | 0.179974i | ||||
\(39\) | −24872.4 | − | 48416.7i | −0.419298 | − | 0.816209i | ||||
\(40\) | −50895.4 | + | 36977.7i | −0.795241 | + | 0.577776i | ||||
\(41\) | −5178.43 | + | 7127.50i | −0.0751358 | + | 0.103416i | −0.844931 | − | 0.534876i | \(-0.820358\pi\) |
0.769795 | + | 0.638291i | \(0.220358\pi\) | |||||||
\(42\) | −43585.8 | + | 86248.7i | −0.588298 | + | 1.16414i | ||||
\(43\) | −48965.3 | −0.615861 | −0.307931 | − | 0.951409i | \(-0.599636\pi\) | ||||
−0.307931 | + | 0.951409i | \(0.599636\pi\) | |||||||
\(44\) | 9334.50 | − | 46326.2i | 0.109580 | − | 0.543837i | ||||
\(45\) | 161343. | − | 1071.37i | 1.77056 | − | 0.0117571i | ||||
\(46\) | 24760.0 | + | 76203.6i | 0.254377 | + | 0.782892i | ||||
\(47\) | 56788.8 | − | 78163.1i | 0.546977 | − | 0.752849i | −0.442621 | − | 0.896709i | \(-0.645951\pi\) |
0.989598 | + | 0.143859i | \(0.0459513\pi\) | |||||||
\(48\) | 21121.3 | − | 136281.i | 0.190984 | − | 1.23229i | ||||
\(49\) | 3426.75 | − | 10546.4i | 0.0291269 | − | 0.0896433i | ||||
\(50\) | 316485. | + | 102832.i | 2.53188 | + | 0.822657i | ||||
\(51\) | 109191. | + | 16922.7i | 0.823143 | + | 0.127573i | ||||
\(52\) | 57907.7 | + | 42072.4i | 0.411838 | + | 0.299218i | ||||
\(53\) | 20323.0 | − | 6603.34i | 0.136509 | − | 0.0443543i | −0.239966 | − | 0.970781i | \(-0.577136\pi\) |
0.376474 | + | 0.926427i | \(0.377136\pi\) | |||||||
\(54\) | −137445. | + | 140211.i | −0.872868 | + | 0.890432i | ||||
\(55\) | 267830. | − | 122666.i | 1.60980 | − | 0.737284i | ||||
\(56\) | 101987.i | 0.580737i | ||||||||
\(57\) | 77202.6 | + | 39014.3i | 0.416876 | + | 0.210669i | ||||
\(58\) | −253588. | − | 184242.i | −1.29970 | − | 0.944291i | ||||
\(59\) | −201717. | − | 277639.i | −0.982168 | − | 1.35184i | −0.935653 | − | 0.352921i | \(-0.885188\pi\) |
−0.0465155 | − | 0.998918i | \(-0.514812\pi\) | |||||||
\(60\) | −188724. | + | 96950.5i | −0.873724 | + | 0.448845i | ||||
\(61\) | −109974. | + | 338464.i | −0.484506 | + | 1.49116i | 0.348188 | + | 0.937425i | \(0.386797\pi\) |
−0.832694 | + | 0.553733i | \(0.813203\pi\) | |||||||
\(62\) | −248772. | − | 342406.i | −1.04382 | − | 1.43670i | ||||
\(63\) | 152336. | − | 212628.i | 0.609230 | − | 0.850350i | ||||
\(64\) | −35.6075 | − | 109.589i | −0.000135832 | − | 0.000418047i | ||||
\(65\) | 446189.i | 1.62472i | ||||||||
\(66\) | −123794. | + | 336426.i | −0.430595 | + | 1.17019i | ||||
\(67\) | −14649.5 | −0.0487079 | −0.0243539 | − | 0.999703i | \(-0.507753\pi\) | ||||
−0.0243539 | + | 0.999703i | \(0.507753\pi\) | |||||||
\(68\) | −138189. | + | 44900.3i | −0.439487 | + | 0.142798i | ||||
\(69\) | −34637.8 | − | 214091.i | −0.105439 | − | 0.651706i | ||||
\(70\) | 640862. | − | 465614.i | 1.86840 | − | 1.35747i | ||||
\(71\) | 332066. | + | 107895.i | 0.927791 | + | 0.301457i | 0.733659 | − | 0.679518i | \(-0.237811\pi\) |
0.194132 | + | 0.980975i | \(0.437811\pi\) | |||||||
\(72\) | −62722.4 | + | 197492.i | −0.168045 | + | 0.529119i | ||||
\(73\) | −216710. | + | 157449.i | −0.557071 | + | 0.404736i | −0.830386 | − | 0.557189i | \(-0.811880\pi\) |
0.273315 | + | 0.961925i | \(0.411880\pi\) | |||||||
\(74\) | −72274.2 | + | 99476.9i | −0.178356 | + | 0.245486i | ||||
\(75\) | −803897. | − | 406250.i | −1.90553 | − | 0.962962i | ||||
\(76\) | −113749. | −0.259122 | ||||||||
\(77\) | 94331.0 | − | 468155.i | 0.206625 | − | 1.02546i | ||||
\(78\) | −385209. | − | 382660.i | −0.811732 | − | 0.806360i | ||||
\(79\) | 68408.7 | + | 210540.i | 0.138749 | + | 0.427026i | 0.996154 | − | 0.0876161i | \(-0.0279249\pi\) |
−0.857405 | + | 0.514642i | \(0.827925\pi\) | |||||||
\(80\) | −664471. | + | 914566.i | −1.29780 | + | 1.78626i | ||||
\(81\) | 425759. | − | 318055.i | 0.801140 | − | 0.598477i | ||||
\(82\) | −27157.2 | + | 83581.2i | −0.0492542 | + | 0.151589i | ||||
\(83\) | 142726. | + | 46374.5i | 0.249614 | + | 0.0811044i | 0.431151 | − | 0.902280i | \(-0.358107\pi\) |
−0.181538 | + | 0.983384i | \(0.558107\pi\) | |||||||
\(84\) | −52679.0 | + | 339902.i | −0.0888790 | + | 0.573477i | ||||
\(85\) | −732765. | − | 532385.i | −1.19319 | − | 0.866900i | ||||
\(86\) | −464534. | + | 150936.i | −0.730334 | + | 0.237300i | ||||
\(87\) | 601914. | + | 597930.i | 0.914064 | + | 0.908015i | ||||
\(88\) | 43534.6 | + | 375815.i | 0.0638831 | + | 0.551475i | ||||
\(89\) | − | 151502.i | − | 0.214906i | −0.994210 | − | 0.107453i | \(-0.965731\pi\) | ||
0.994210 | − | 0.107453i | \(-0.0342694\pi\) | |||||||
\(90\) | 1.52735e6 | − | 507505.i | 2.09514 | − | 0.696165i | ||||
\(91\) | 585193. | + | 425168.i | 0.776560 | + | 0.564204i | ||||
\(92\) | 167631. | + | 230725.i | 0.215274 | + | 0.296299i | ||||
\(93\) | 523467. | + | 1.01898e6i | 0.650790 | + | 1.26683i | ||||
\(94\) | 297817. | − | 916585.i | 0.358563 | − | 1.10354i | ||||
\(95\) | −416778. | − | 573646.i | −0.486110 | − | 0.669072i | ||||
\(96\) | −141265. | − | 873140.i | −0.159669 | − | 0.986893i | ||||
\(97\) | 83506.1 | + | 257005.i | 0.0914962 | + | 0.281596i | 0.986325 | − | 0.164814i | \(-0.0527023\pi\) |
−0.894829 | + | 0.446410i | \(0.852702\pi\) | |||||||
\(98\) | − | 110617.i | − | 0.117529i | ||||||
\(99\) | 470585. | − | 848546.i | 0.484990 | − | 0.874520i | ||||
\(100\) | 1.18444e6 | 1.18444 | ||||||||
\(101\) | −1.04826e6 | + | 340599.i | −1.01743 | + | 0.330582i | −0.769808 | − | 0.638275i | \(-0.779648\pi\) |
−0.247620 | + | 0.968857i | \(0.579648\pi\) | |||||||
\(102\) | 1.08806e6 | − | 176036.i | 1.02530 | − | 0.165883i | ||||
\(103\) | −416371. | + | 302511.i | −0.381038 | + | 0.276840i | −0.761773 | − | 0.647844i | \(-0.775671\pi\) |
0.380735 | + | 0.924684i | \(0.375671\pi\) | |||||||
\(104\) | −544985. | − | 177076.i | −0.484490 | − | 0.157420i | ||||
\(105\) | −1.90718e6 | + | 979746.i | −1.64749 | + | 0.846341i | ||||
\(106\) | 172449. | − | 125292.i | 0.144792 | − | 0.105197i | ||||
\(107\) | −89809.9 | + | 123613.i | −0.0733116 | + | 0.100905i | −0.844098 | − | 0.536189i | \(-0.819864\pi\) |
0.770786 | + | 0.637094i | \(0.219864\pi\) | |||||||
\(108\) | −311052. | + | 625806.i | −0.246923 | + | 0.496785i | ||||
\(109\) | −1.07819e6 | −0.832561 | −0.416281 | − | 0.909236i | \(-0.636667\pi\) | ||||
−0.416281 | + | 0.909236i | \(0.636667\pi\) | |||||||
\(110\) | 2.16278e6 | − | 1.98932e6i | 1.62493 | − | 1.49460i | ||||
\(111\) | 234555. | − | 236117.i | 0.171504 | − | 0.172647i | ||||
\(112\) | 566321. | + | 1.74296e6i | 0.403096 | + | 1.24060i | ||||
\(113\) | 1.02661e6 | − | 1.41301e6i | 0.711493 | − | 0.979286i | −0.288271 | − | 0.957549i | \(-0.593080\pi\) |
0.999764 | − | 0.0217368i | \(-0.00691957\pi\) | |||||||
\(114\) | 852683. | + | 132151.i | 0.575537 | + | 0.0891983i | ||||
\(115\) | −549363. | + | 1.69077e6i | −0.361215 | + | 1.11171i | ||||
\(116\) | −1.06107e6 | − | 344763.i | −0.679784 | − | 0.220875i | ||||
\(117\) | 871718. | + | 1.18321e6i | 0.544275 | + | 0.738764i | ||||
\(118\) | −2.76951e6 | − | 2.01217e6i | −1.68561 | − | 1.22467i | ||||
\(119\) | −1.39649e6 | + | 453746.i | −0.828697 | + | 0.269260i | ||||
\(120\) | 1.19708e6 | − | 1.20506e6i | 0.692755 | − | 0.697370i | ||||
\(121\) | 147765. | − | 1.76539e6i | 0.0834093 | − | 0.996515i | ||||
\(122\) | 3.55001e6i | 1.95501i | ||||||||
\(123\) | 107287. | − | 212303.i | 0.0576545 | − | 0.114088i | ||||
\(124\) | −1.21873e6 | − | 885462.i | −0.639210 | − | 0.464413i | ||||
\(125\) | 2.30716e6 | + | 3.17553e6i | 1.18126 | + | 1.62587i | ||||
\(126\) | 789785. | − | 2.48678e6i | 0.394818 | − | 1.24315i | ||||
\(127\) | 695123. | − | 2.13937e6i | 0.339352 | − | 1.04442i | −0.625186 | − | 0.780475i | \(-0.714977\pi\) |
0.964538 | − | 0.263942i | \(-0.0850229\pi\) | |||||||
\(128\) | −1.23301e6 | − | 1.69710e6i | −0.587946 | − | 0.809239i | ||||
\(129\) | 1.30509e6 | − | 211150.i | 0.607956 | − | 0.0983609i | ||||
\(130\) | 1.37538e6 | + | 4.23300e6i | 0.626028 | + | 1.92672i | ||||
\(131\) | 21148.4i | 0.00940727i | 0.999989 | + | 0.00470363i | \(0.00149722\pi\) | ||||
−0.999989 | + | 0.00470363i | \(0.998503\pi\) | |||||||
\(132\) | −49026.4 | + | 1.27500e6i | −0.0213161 | + | 0.554357i | ||||
\(133\) | −1.14950e6 | −0.488601 | ||||||||
\(134\) | −138980. | + | 45157.4i | −0.0577615 | + | 0.0187678i | ||||
\(135\) | −4.29571e6 | + | 724304.i | −1.74596 | + | 0.294388i | ||||
\(136\) | 941075. | − | 683731.i | 0.374117 | − | 0.271812i | ||||
\(137\) | −1.37007e6 | − | 445162.i | −0.532819 | − | 0.173123i | 0.0302359 | − | 0.999543i | \(-0.490374\pi\) |
−0.563055 | + | 0.826419i | \(0.690374\pi\) | |||||||
\(138\) | −988548. | − | 1.92431e6i | −0.376150 | − | 0.732215i | ||||
\(139\) | −2.42382e6 | + | 1.76101e6i | −0.902518 | + | 0.655718i | −0.939111 | − | 0.343613i | \(-0.888349\pi\) |
0.0365937 | + | 0.999330i | \(0.488349\pi\) | |||||||
\(140\) | 1.65727e6 | − | 2.28104e6i | 0.603962 | − | 0.831282i | ||||
\(141\) | −1.17656e6 | + | 2.32820e6i | −0.419716 | + | 0.830545i | ||||
\(142\) | 3.48290e6 | 1.21640 | ||||||||
\(143\) | 2.33789e6 | + | 1.31692e6i | 0.799495 | + | 0.450350i | ||||
\(144\) | 24724.9 | + | 3.72344e6i | 0.00828032 | + | 1.24697i | ||||
\(145\) | −2.14913e6 | − | 6.61433e6i | −0.704949 | − | 2.16961i | ||||
\(146\) | −1.57059e6 | + | 2.16173e6i | −0.504666 | + | 0.694613i | ||||
\(147\) | −45855.7 | + | 295876.i | −0.0144358 | + | 0.0931445i | ||||
\(148\) | −135243. | + | 416235.i | −0.0417186 | + | 0.128397i | ||||
\(149\) | 2.81436e6 | + | 914440.i | 0.850786 | + | 0.276437i | 0.701775 | − | 0.712398i | \(-0.252391\pi\) |
0.149011 | + | 0.988836i | \(0.452391\pi\) | |||||||
\(150\) | −8.87884e6 | − | 1.37607e6i | −2.63077 | − | 0.407724i | ||||
\(151\) | 2.64356e6 | + | 1.92066e6i | 0.767818 | + | 0.557852i | 0.901298 | − | 0.433199i | \(-0.142615\pi\) |
−0.133481 | + | 0.991051i | \(0.542615\pi\) | |||||||
\(152\) | 866068. | − | 281403.i | 0.246616 | − | 0.0801304i | ||||
\(153\) | −2.98328e6 | + | 19810.0i | −0.832952 | + | 0.00553108i | ||||
\(154\) | −548176. | − | 4.73216e6i | −0.150092 | − | 1.29568i | ||||
\(155\) | − | 9.39056e6i | − | 2.52172i | ||||||
\(156\) | −1.72486e6 | − | 871661.i | −0.454340 | − | 0.229601i | ||||
\(157\) | 5.92609e6 | + | 4.30555e6i | 1.53133 | + | 1.11258i | 0.955493 | + | 0.295013i | \(0.0953240\pi\) |
0.575838 | + | 0.817564i | \(0.304676\pi\) | |||||||
\(158\) | 1.29799e6 | + | 1.78653e6i | 0.329078 | + | 0.452937i | ||||
\(159\) | −513202. | + | 263639.i | −0.127672 | + | 0.0655872i | ||||
\(160\) | −2.24050e6 | + | 6.89554e6i | −0.546996 | + | 1.68348i | ||||
\(161\) | 1.69402e6 | + | 2.33162e6i | 0.405921 | + | 0.558702i | ||||
\(162\) | 3.05876e6 | − | 4.32980e6i | 0.719450 | − | 1.01841i | ||||
\(163\) | −572366. | − | 1.76156e6i | −0.132163 | − | 0.406757i | 0.862975 | − | 0.505247i | \(-0.168599\pi\) |
−0.995138 | + | 0.0984903i | \(0.968599\pi\) | |||||||
\(164\) | 312802.i | 0.0709151i | ||||||||
\(165\) | −6.60961e6 | + | 4.42441e6i | −1.47138 | + | 0.984925i | ||||
\(166\) | 1.49699e6 | 0.327261 | ||||||||
\(167\) | 579532. | − | 188301.i | 0.124431 | − | 0.0404300i | −0.246140 | − | 0.969234i | \(-0.579162\pi\) |
0.370571 | + | 0.928804i | \(0.379162\pi\) | |||||||
\(168\) | −439792. | − | 2.71830e6i | −0.0927512 | − | 0.573283i | ||||
\(169\) | 616955. | − | 448244.i | 0.127818 | − | 0.0928656i | ||||
\(170\) | −8.59283e6 | − | 2.79198e6i | −1.74900 | − | 0.568284i | ||||
\(171\) | −2.22595e6 | − | 706949.i | −0.445171 | − | 0.141384i | ||||
\(172\) | −1.40649e6 | + | 1.02187e6i | −0.276408 | + | 0.200822i | ||||
\(173\) | 2.09773e6 | − | 2.88728e6i | 0.405147 | − | 0.557636i | −0.556880 | − | 0.830593i | \(-0.688002\pi\) |
0.962026 | + | 0.272957i | \(0.0880016\pi\) | |||||||
\(174\) | 7.55349e6 | + | 3.81716e6i | 1.43384 | + | 0.724590i | ||||
\(175\) | 1.19695e7 | 2.23339 | ||||||||
\(176\) | 2.83086e6 | + | 6.18094e6i | 0.519255 | + | 1.13375i | ||||
\(177\) | 6.57369e6 | + | 6.53018e6i | 1.18547 | + | 1.17762i | ||||
\(178\) | −467006. | − | 1.43730e6i | −0.0828061 | − | 0.254851i | ||||
\(179\) | 5.82390e6 | − | 8.01592e6i | 1.01544 | − | 1.39764i | 0.100091 | − | 0.994978i | \(-0.468087\pi\) |
0.915351 | − | 0.402658i | \(-0.131913\pi\) | |||||||
\(180\) | 4.61208e6 | − | 3.39789e6i | 0.790822 | − | 0.582628i | ||||
\(181\) | −445639. | + | 1.37154e6i | −0.0751532 | + | 0.231298i | −0.981575 | − | 0.191075i | \(-0.938803\pi\) |
0.906422 | + | 0.422373i | \(0.138803\pi\) | |||||||
\(182\) | 6.86232e6 | + | 2.22970e6i | 1.13830 | + | 0.369856i | ||||
\(183\) | 1.47163e6 | − | 9.49547e6i | 0.240130 | − | 1.54940i | ||||
\(184\) | −1.84712e6 | − | 1.34201e6i | −0.296511 | − | 0.215428i | ||||
\(185\) | −2.59465e6 | + | 843054.i | −0.409792 | + | 0.133150i | ||||
\(186\) | 8.10717e6 | + | 8.05351e6i | 1.25988 | + | 1.25155i | ||||
\(187\) | −4.95227e6 | + | 2.26813e6i | −0.757320 | + | 0.346852i | ||||
\(188\) | − | 3.43032e6i | − | 0.516251i | ||||||
\(189\) | −3.14337e6 | + | 6.32416e6i | −0.465598 | + | 0.936737i | ||||
\(190\) | −5.72225e6 | − | 4.15745e6i | −0.834268 | − | 0.606131i | ||||
\(191\) | 5.59238e6 | + | 7.69724e6i | 0.802595 | + | 1.10468i | 0.992424 | + | 0.122860i | \(0.0392065\pi\) |
−0.189829 | + | 0.981817i | \(0.560794\pi\) | |||||||
\(192\) | 1421.63 | + | 2767.36i | 0.000200856 | + | 0.000390987i | ||||
\(193\) | −558015. | + | 1.71740e6i | −0.0776201 | + | 0.238890i | −0.982336 | − | 0.187125i | \(-0.940083\pi\) |
0.904716 | + | 0.426015i | \(0.140083\pi\) | |||||||
\(194\) | 1.58445e6 | + | 2.18080e6i | 0.217006 | + | 0.298683i | ||||
\(195\) | −1.92408e6 | − | 1.18925e7i | −0.259489 | − | 1.60387i | ||||
\(196\) | −121667. | − | 374452.i | −0.0161586 | − | 0.0497311i | ||||
\(197\) | − | 819617.i | − | 0.107204i | −0.998562 | − | 0.0536022i | \(-0.982930\pi\) | ||
0.998562 | − | 0.0536022i | \(-0.0170703\pi\) | |||||||
\(198\) | 1.84879e6 | − | 9.50074e6i | 0.238173 | − | 1.22394i | ||||
\(199\) | 2.11410e6 | 0.268266 | 0.134133 | − | 0.990963i | \(-0.457175\pi\) | ||||
0.134133 | + | 0.990963i | \(0.457175\pi\) | |||||||
\(200\) | −9.01822e6 | + | 2.93020e6i | −1.12728 | + | 0.366274i | ||||
\(201\) | 390460. | − | 63172.4i | 0.0480827 | − | 0.00777928i | ||||
\(202\) | −8.89491e6 | + | 6.46253e6i | −1.07916 | + | 0.784059i | ||||
\(203\) | −1.07228e7 | − | 3.48405e6i | −1.28180 | − | 0.416482i | ||||
\(204\) | 3.48958e6 | − | 1.79265e6i | 0.411039 | − | 0.211157i | ||||
\(205\) | −1.57750e6 | + | 1.14612e6i | −0.183108 | + | 0.133036i | ||||
\(206\) | −3.01761e6 | + | 4.15339e6i | −0.345193 | + | 0.475117i | ||||
\(207\) | 1.84643e6 | + | 5.55690e6i | 0.208172 | + | 0.626501i | ||||
\(208\) | −1.02971e7 | −1.14426 | ||||||||
\(209\) | −4.23583e6 | + | 490681.i | −0.463981 | + | 0.0537478i | ||||
\(210\) | −1.50733e7 | + | 1.51738e7i | −1.62761 | + | 1.63846i | ||||
\(211\) | −1.96341e6 | − | 6.04276e6i | −0.209008 | − | 0.643262i | −0.999525 | − | 0.0308209i | \(-0.990188\pi\) |
0.790517 | − | 0.612441i | \(-0.209812\pi\) | |||||||
\(212\) | 445954. | − | 613804.i | 0.0468040 | − | 0.0644202i | ||||
\(213\) | −9.31598e6 | − | 1.44382e6i | −0.964028 | − | 0.149408i | ||||
\(214\) | −470989. | + | 1.44955e6i | −0.0480584 | + | 0.147908i | ||||
\(215\) | −1.03068e7 | − | 3.34889e6i | −1.03707 | − | 0.336966i | ||||
\(216\) | 820131. | − | 5.53432e6i | 0.0813808 | − | 0.549166i | ||||
\(217\) | −1.23161e7 | − | 8.94815e6i | −1.20529 | − | 0.875697i | ||||
\(218\) | −1.02288e7 | + | 3.32354e6i | −0.987314 | + | 0.320798i | ||||
\(219\) | 5.09711e6 | − | 5.13106e6i | 0.485279 | − | 0.488512i | ||||
\(220\) | 5.13324e6 | − | 9.11291e6i | 0.482085 | − | 0.855833i | ||||
\(221\) | − | 8.25020e6i | − | 0.764342i | ||||||
\(222\) | 1.49739e6 | − | 2.96306e6i | 0.136859 | − | 0.270821i | ||||
\(223\) | 4.99382e6 | + | 3.62822e6i | 0.450317 | + | 0.327174i | 0.789721 | − | 0.613466i | \(-0.210225\pi\) |
−0.339404 | + | 0.940641i | \(0.610225\pi\) | |||||||
\(224\) | 6.90881e6 | + | 9.50916e6i | 0.614694 | + | 0.846054i | ||||
\(225\) | 2.31784e7 | + | 7.36134e6i | 2.03487 | + | 0.646263i | ||||
\(226\) | 5.38384e6 | − | 1.65698e7i | 0.466409 | − | 1.43546i | ||||
\(227\) | −2.37256e6 | − | 3.26554e6i | −0.202833 | − | 0.279176i | 0.695467 | − | 0.718558i | \(-0.255197\pi\) |
−0.898300 | + | 0.439382i | \(0.855197\pi\) | |||||||
\(228\) | 3.03179e6 | − | 490512.i | 0.255796 | − | 0.0413852i | ||||
\(229\) | 5.51270e6 | + | 1.69664e7i | 0.459048 | + | 1.41280i | 0.866316 | + | 0.499496i | \(0.166481\pi\) |
−0.407268 | + | 0.913309i | \(0.633519\pi\) | |||||||
\(230\) | 1.77337e7i | 1.45753i | ||||||||
\(231\) | −495443. | + | 1.28847e7i | −0.0401937 | + | 1.04529i | ||||
\(232\) | 8.93180e6 | 0.715278 | ||||||||
\(233\) | 2.04435e7 | − | 6.64248e6i | 1.61617 | − | 0.525125i | 0.645134 | − | 0.764069i | \(-0.276801\pi\) |
0.971033 | + | 0.238944i | \(0.0768013\pi\) | |||||||
\(234\) | 1.19173e7 | + | 8.53807e6i | 0.930098 | + | 0.666365i | ||||
\(235\) | 1.72995e7 | − | 1.25688e7i | 1.33300 | − | 0.968479i | ||||
\(236\) | −1.15883e7 | − | 3.76527e6i | −0.881625 | − | 0.286457i | ||||
\(237\) | −2.73123e6 | − | 5.31662e6i | −0.205170 | − | 0.399384i | ||||
\(238\) | −1.18498e7 | + | 8.60937e6i | −0.878981 | + | 0.638617i | ||||
\(239\) | −1.51821e7 | + | 2.08963e7i | −1.11208 | + | 1.53065i | −0.293775 | + | 0.955875i | \(0.594912\pi\) |
−0.818309 | + | 0.574778i | \(0.805088\pi\) | |||||||
\(240\) | 1.37666e7 | − | 2.72417e7i | 0.995847 | − | 1.97061i | ||||
\(241\) | −2.11925e7 | −1.51402 | −0.757009 | − | 0.653404i | \(-0.773340\pi\) | ||||
−0.757009 | + | 0.653404i | \(0.773340\pi\) | |||||||
\(242\) | −4.03999e6 | − | 1.72037e7i | −0.285058 | − | 1.21388i | ||||
\(243\) | −9.97639e6 | + | 1.03132e7i | −0.695271 | + | 0.718747i | ||||
\(244\) | 3.90463e6 | + | 1.20172e7i | 0.268788 | + | 0.827245i | ||||
\(245\) | 1.44261e6 | − | 1.98558e6i | 0.0980960 | − | 0.135017i | ||||
\(246\) | 363409. | − | 2.34483e6i | 0.0244113 | − | 0.157509i | ||||
\(247\) | 1.99584e6 | − | 6.14257e6i | 0.132445 | − | 0.407623i | ||||
\(248\) | 1.14698e7 | + | 3.72678e6i | 0.751973 | + | 0.244331i | ||||
\(249\) | −4.00411e6 | − | 620568.i | −0.259363 | − | 0.0401968i | ||||
\(250\) | 3.16766e7 | + | 2.30144e7i | 2.02730 | + | 1.47292i | ||||
\(251\) | −1.68801e7 | + | 5.48468e6i | −1.06747 | + | 0.346841i | −0.789500 | − | 0.613750i | \(-0.789660\pi\) |
−0.277966 | + | 0.960591i | \(0.589660\pi\) | |||||||
\(252\) | −61666.9 | − | 9.28671e6i | −0.00385346 | − | 0.580310i | ||||
\(253\) | 7.23764e6 | + | 7.86875e6i | 0.446926 | + | 0.485897i | ||||
\(254\) | − | 2.24389e7i | − | 1.36931i | ||||||
\(255\) | 2.18265e7 | + | 1.10300e7i | 1.31632 | + | 0.665205i | ||||
\(256\) | −1.69229e7 | − | 1.22952e7i | −1.00869 | − | 0.732854i | ||||
\(257\) | 1.38182e6 | + | 1.90191e6i | 0.0814050 | + | 0.112044i | 0.847777 | − | 0.530352i | \(-0.177940\pi\) |
−0.766372 | + | 0.642396i | \(0.777940\pi\) | |||||||
\(258\) | 1.17305e7 | − | 6.02615e6i | 0.683060 | − | 0.350898i | ||||
\(259\) | −1.36672e6 | + | 4.20632e6i | −0.0786645 | + | 0.242104i | ||||
\(260\) | 9.31168e6 | + | 1.28164e7i | 0.529795 | + | 0.729200i | ||||
\(261\) | −1.86215e7 | − | 1.33413e7i | −1.04735 | − | 0.750371i | ||||
\(262\) | 65190.2 | + | 200635.i | 0.00362475 | + | 0.0111558i | ||||
\(263\) | − | 2.24387e7i | − | 1.23347i | −0.787169 | − | 0.616737i | \(-0.788454\pi\) | ||
0.787169 | − | 0.616737i | \(-0.211546\pi\) | |||||||
\(264\) | −2.78095e6 | − | 9.82901e6i | −0.151141 | − | 0.534193i | ||||
\(265\) | 4.72947e6 | 0.254141 | ||||||||
\(266\) | −1.09053e7 | + | 3.54335e6i | −0.579419 | + | 0.188265i | ||||
\(267\) | 653313. | + | 4.03804e6i | 0.0343232 | + | 0.212147i | ||||
\(268\) | −420796. | + | 305726.i | −0.0218609 | + | 0.0158828i | ||||
\(269\) | 1.98465e7 | + | 6.44853e6i | 1.01960 | + | 0.331287i | 0.770669 | − | 0.637236i | \(-0.219922\pi\) |
0.248927 | + | 0.968522i | \(0.419922\pi\) | |||||||
\(270\) | −3.85207e7 | + | 2.01131e7i | −1.95706 | + | 1.02185i | ||||
\(271\) | 2.12585e7 | − | 1.54452e7i | 1.06813 | − | 0.776042i | 0.0925555 | − | 0.995708i | \(-0.470496\pi\) |
0.975575 | + | 0.219665i | \(0.0704964\pi\) | |||||||
\(272\) | 1.22863e7 | − | 1.69107e7i | 0.610541 | − | 0.840338i | ||||
\(273\) | −1.74308e7 | − | 8.80868e6i | −0.856703 | − | 0.432935i | ||||
\(274\) | −1.43700e7 | −0.698564 | ||||||||
\(275\) | 4.41070e7 | − | 5.10938e6i | 2.12085 | − | 0.245680i | ||||
\(276\) | −5.46289e6 | − | 5.42674e6i | −0.259834 | − | 0.258114i | ||||
\(277\) | 2.69340e6 | + | 8.28944e6i | 0.126725 | + | 0.390019i | 0.994211 | − | 0.107442i | \(-0.0342659\pi\) |
−0.867487 | + | 0.497461i | \(0.834266\pi\) | |||||||
\(278\) | −1.75664e7 | + | 2.41781e7i | −0.817616 | + | 1.12535i | ||||
\(279\) | −1.83463e7 | − | 2.49021e7i | −0.844765 | − | 1.14663i | ||||
\(280\) | −6.97521e6 | + | 2.14675e7i | −0.317748 | + | 0.977928i | ||||
\(281\) | −5.58509e6 | − | 1.81470e6i | −0.251716 | − | 0.0817875i | 0.180441 | − | 0.983586i | \(-0.442247\pi\) |
−0.432157 | + | 0.901798i | \(0.642247\pi\) | |||||||
\(282\) | −3.98529e6 | + | 2.57144e7i | −0.177710 | + | 1.14664i | ||||
\(283\) | 1.47329e7 | + | 1.07041e7i | 0.650022 | + | 0.472268i | 0.863279 | − | 0.504728i | \(-0.168407\pi\) |
−0.213257 | + | 0.976996i | \(0.568407\pi\) | |||||||
\(284\) | 1.17900e7 | − | 3.83082e6i | 0.514707 | − | 0.167239i | ||||
\(285\) | 1.35823e7 | + | 1.34924e7i | 0.586729 | + | 0.582846i | ||||
\(286\) | 2.62390e7 | + | 5.28703e6i | 1.12163 | + | 0.226003i | ||||
\(287\) | 3.16107e6i | 0.133717i | ||||||||
\(288\) | 7.53039e6 | + | 2.26630e7i | 0.315239 | + | 0.948723i | ||||
\(289\) | −5.97860e6 | − | 4.34371e6i | −0.247689 | − | 0.179956i | ||||
\(290\) | −4.07775e7 | − | 5.61254e7i | −1.67196 | − | 2.30126i | ||||
\(291\) | −3.33399e6 | − | 6.48997e6i | −0.135296 | − | 0.263369i | ||||
\(292\) | −2.93896e6 | + | 9.04520e6i | −0.118044 | + | 0.363304i | ||||
\(293\) | 1.58541e7 | + | 2.18212e7i | 0.630286 | + | 0.867514i | 0.998051 | − | 0.0624047i | \(-0.0198769\pi\) |
−0.367765 | + | 0.929919i | \(0.619877\pi\) | |||||||
\(294\) | 477008. | + | 2.94832e6i | 0.0187709 | + | 0.116020i | ||||
\(295\) | −2.34713e7 | − | 7.22371e7i | −0.914262 | − | 2.81381i | ||||
\(296\) | − | 3.50374e6i | − | 0.135101i | ||||||
\(297\) | −8.88357e6 | + | 2.46459e7i | −0.339093 | + | 0.940753i | ||||
\(298\) | 2.95186e7 | 1.11544 | ||||||||
\(299\) | −1.54007e7 | + | 5.00399e6i | −0.576139 | + | 0.187199i | ||||
\(300\) | −3.15695e7 | + | 5.10761e6i | −1.16924 | + | 0.189171i | ||||
\(301\) | −1.42134e7 | + | 1.03267e7i | −0.521195 | + | 0.378670i | ||||
\(302\) | 3.09999e7 | + | 1.00725e7i | 1.12548 | + | 0.365692i | ||||
\(303\) | 2.64709e7 | − | 1.35985e7i | 0.951570 | − | 0.488835i | ||||
\(304\) | 1.32385e7 | − | 9.61835e6i | 0.471215 | − | 0.342358i | ||||
\(305\) | −4.62974e7 | + | 6.37229e7i | −1.63176 | + | 2.24593i | ||||
\(306\) | −2.82413e7 | + | 9.38395e6i | −0.985646 | + | 0.327507i | ||||
\(307\) | −3.56180e7 | −1.23099 | −0.615494 | − | 0.788141i | \(-0.711044\pi\) | ||||
−0.615494 | + | 0.788141i | \(0.711044\pi\) | |||||||
\(308\) | −7.06051e6 | − | 1.54160e7i | −0.241648 | − | 0.527618i | ||||
\(309\) | 9.79320e6 | − | 9.85844e6i | 0.331932 | − | 0.334143i | ||||
\(310\) | −2.89465e7 | − | 8.90883e7i | −0.971654 | − | 2.99044i | ||||
\(311\) | −3.92183e6 | + | 5.39793e6i | −0.130379 | + | 0.179451i | −0.869215 | − | 0.494433i | \(-0.835376\pi\) |
0.738837 | + | 0.673885i | \(0.235376\pi\) | |||||||
\(312\) | 1.52893e7 | + | 2.36958e6i | 0.503413 | + | 0.0780203i | ||||
\(313\) | −1.60139e7 | + | 4.92856e7i | −0.522231 | + | 1.60726i | 0.247496 | + | 0.968889i | \(0.420392\pi\) |
−0.769727 | + | 0.638373i | \(0.779608\pi\) | |||||||
\(314\) | 6.94927e7 | + | 2.25796e7i | 2.24466 | + | 0.729334i | ||||
\(315\) | 4.66079e7 | − | 3.43378e7i | 1.49117 | − | 1.09860i | ||||
\(316\) | 6.35883e6 | + | 4.61996e6i | 0.201519 | + | 0.146412i | ||||
\(317\) | 1.62935e7 | − | 5.29409e6i | 0.511491 | − | 0.166193i | −0.0418895 | − | 0.999122i | \(-0.513338\pi\) |
0.553380 | + | 0.832929i | \(0.313338\pi\) | |||||||
\(318\) | −4.05608e6 | + | 4.08310e6i | −0.126132 | + | 0.126972i | ||||
\(319\) | −4.10001e7 | − | 8.26132e6i | −1.26303 | − | 0.254494i | ||||
\(320\) | − | 25502.9i | − | 0.000778288i | ||||||
\(321\) | 1.86069e6 | − | 3.68198e6i | 0.0562548 | − | 0.111318i | ||||
\(322\) | 2.32584e7 | + | 1.68982e7i | 0.696647 | + | 0.506144i | ||||
\(323\) | 7.70638e6 | + | 1.06069e7i | 0.228688 | + | 0.314762i | ||||
\(324\) | 5.59196e6 | − | 1.80212e7i | 0.164410 | − | 0.529845i | ||||
\(325\) | −2.07823e7 | + | 6.39615e7i | −0.605403 | + | 1.86324i | ||||
\(326\) | −1.08601e7 | − | 1.49476e7i | −0.313458 | − | 0.431438i | ||||
\(327\) | 2.87375e7 | − | 4.64942e6i | 0.821874 | − | 0.132971i | ||||
\(328\) | −773842. | − | 2.38164e6i | −0.0219296 | − | 0.0674924i | ||||
\(329\) | − | 3.46655e7i | − | 0.973442i | ||||||
\(330\) | −4.90671e7 | + | 6.23486e7i | −1.36536 | + | 1.73494i | ||||
\(331\) | −3.65485e7 | −1.00782 | −0.503912 | − | 0.863755i | \(-0.668107\pi\) | ||||
−0.503912 | + | 0.863755i | \(0.668107\pi\) | |||||||
\(332\) | 5.06749e6 | − | 1.64653e6i | 0.138477 | − | 0.0449940i | ||||
\(333\) | −5.23349e6 | + | 7.30479e6i | −0.141729 | + | 0.197822i | ||||
\(334\) | 4.91758e6 | − | 3.57283e6i | 0.131981 | − | 0.0958900i | ||||
\(335\) | −3.08362e6 | − | 1.00193e6i | −0.0820213 | − | 0.0266503i | ||||
\(336\) | −2.26104e7 | − | 4.40136e7i | −0.596062 | − | 1.16030i | ||||
\(337\) | 1.38512e6 | − | 1.00635e6i | 0.0361907 | − | 0.0262941i | −0.569543 | − | 0.821962i | \(-0.692880\pi\) |
0.605734 | + | 0.795668i | \(0.292880\pi\) | |||||||
\(338\) | 4.47134e6 | − | 6.15427e6i | 0.115794 | − | 0.159377i | ||||
\(339\) | −2.12694e7 | + | 4.20885e7i | −0.545955 | + | 1.08035i | ||||
\(340\) | −3.21586e7 | −0.818203 | ||||||||
\(341\) | −4.92036e7 | − | 2.77160e7i | −1.24089 | − | 0.698985i | ||||
\(342\) | −2.32968e7 | + | 154698.i | −0.582395 | + | 0.00386730i | ||||
\(343\) | 1.18149e7 | + | 3.63625e7i | 0.292784 | + | 0.901096i | ||||
\(344\) | 8.18082e6 | − | 1.12599e7i | 0.200966 | − | 0.276605i | ||||
\(345\) | 7.35141e6 | − | 4.74337e7i | 0.179025 | − | 1.15513i | ||||
\(346\) | 1.10011e7 | − | 3.38580e7i | 0.265588 | − | 0.817396i | ||||
\(347\) | 9.60147e6 | + | 3.11971e6i | 0.229800 | + | 0.0746664i | 0.421653 | − | 0.906757i | \(-0.361450\pi\) |
−0.191854 | + | 0.981424i | \(0.561450\pi\) | |||||||
\(348\) | 2.97679e7 | + | 4.61352e6i | 0.706335 | + | 0.109470i | ||||
\(349\) | −1.07772e7 | − | 7.83008e6i | −0.253530 | − | 0.184200i | 0.453760 | − | 0.891124i | \(-0.350082\pi\) |
−0.707290 | + | 0.706924i | \(0.750082\pi\) | |||||||
\(350\) | 1.13555e8 | − | 3.68963e7i | 2.64852 | − | 0.860555i | ||||
\(351\) | −2.83366e7 | − | 2.77776e7i | −0.655279 | − | 0.642353i | ||||
\(352\) | 2.95176e7 | + | 3.20915e7i | 0.676790 | + | 0.735804i | ||||
\(353\) | 2.18364e7i | 0.496428i | 0.968705 | + | 0.248214i | \(0.0798436\pi\) | ||||
−0.968705 | + | 0.248214i | \(0.920156\pi\) | |||||||
\(354\) | 8.24940e7 | + | 4.16884e7i | 1.85957 | + | 0.939734i | ||||
\(355\) | 6.25183e7 | + | 4.54222e7i | 1.39740 | + | 1.01527i | ||||
\(356\) | −3.16174e6 | − | 4.35177e6i | −0.0700772 | − | 0.0964530i | ||||
\(357\) | 3.52644e7 | − | 1.81159e7i | 0.775055 | − | 0.398157i | ||||
\(358\) | 3.05422e7 | − | 9.39993e7i | 0.665658 | − | 2.04869i | ||||
\(359\) | −3.27183e6 | − | 4.50329e6i | −0.0707144 | − | 0.0973300i | 0.772195 | − | 0.635386i | \(-0.219159\pi\) |
−0.842909 | + | 0.538056i | \(0.819159\pi\) | |||||||
\(360\) | −2.67098e7 | + | 3.72809e7i | −0.572483 | + | 0.799060i | ||||
\(361\) | −1.13663e7 | − | 3.49818e7i | −0.241600 | − | 0.743567i | ||||
\(362\) | 1.43854e7i | 0.303248i | ||||||||
\(363\) | 3.67435e6 | + | 4.76908e7i | 0.0768176 | + | 0.997045i | ||||
\(364\) | 2.56822e7 | 0.532510 | ||||||||
\(365\) | −5.63844e7 | + | 1.83204e7i | −1.15953 | + | 0.376753i | ||||
\(366\) | −1.53085e7 | − | 9.46198e7i | −0.312241 | − | 1.92992i | ||||
\(367\) | −6.76713e7 | + | 4.91661e7i | −1.36901 | + | 0.994643i | −0.371195 | + | 0.928555i | \(0.621052\pi\) |
−0.997814 | + | 0.0660880i | \(0.978948\pi\) | |||||||
\(368\) | −3.90193e7 | − | 1.26781e7i | −0.782953 | − | 0.254397i | ||||
\(369\) | −1.94407e6 | + | 6.12125e6i | −0.0386931 | + | 0.121832i | ||||
\(370\) | −2.20167e7 | + | 1.59961e7i | −0.434658 | + | 0.315798i | ||||
\(371\) | 4.50665e6 | − | 6.20287e6i | 0.0882535 | − | 0.121471i | ||||
\(372\) | 3.63017e7 | + | 1.83451e7i | 0.705178 | + | 0.356362i | ||||
\(373\) | 1.00002e8 | 1.92700 | 0.963500 | − | 0.267709i | \(-0.0862665\pi\) | ||||
0.963500 | + | 0.267709i | \(0.0862665\pi\) | |||||||
\(374\) | −3.99906e7 | + | 3.67832e7i | −0.764440 | + | 0.703129i | ||||
\(375\) | −7.51873e7 | − | 7.46896e7i | −1.42577 | − | 1.41634i | ||||
\(376\) | 8.48627e6 | + | 2.61180e7i | 0.159644 | + | 0.491334i | ||||
\(377\) | 3.72353e7 | − | 5.12500e7i | 0.694914 | − | 0.956467i | ||||
\(378\) | −1.03269e7 | + | 6.96868e7i | −0.191203 | + | 1.29025i | ||||
\(379\) | −612065. | + | 1.88374e6i | −0.0112429 | + | 0.0346022i | −0.956521 | − | 0.291665i | \(-0.905791\pi\) |
0.945278 | + | 0.326267i | \(0.105791\pi\) | |||||||
\(380\) | −2.39432e7 | − | 7.77963e6i | −0.436347 | − | 0.141778i | ||||
\(381\) | −9.30191e6 | + | 6.00190e7i | −0.168189 | + | 1.08521i | ||||
\(382\) | 7.67817e7 | + | 5.57852e7i | 1.37742 | + | 1.00076i | ||||
\(383\) | −2.36416e6 | + | 768163.i | −0.0420805 | + | 0.0136728i | −0.329982 | − | 0.943987i | \(-0.607043\pi\) |
0.287901 | + | 0.957660i | \(0.407043\pi\) | |||||||
\(384\) | 4.01823e7 | + | 3.99164e7i | 0.709645 | + | 0.704948i | ||||
\(385\) | 5.18746e7 | − | 9.20917e7i | 0.909019 | − | 1.61376i | ||||
\(386\) | 1.80130e7i | 0.313202i | ||||||||
\(387\) | −3.38746e7 | + | 1.12558e7i | −0.584442 | + | 0.194197i | ||||
\(388\) | 7.76218e6 | + | 5.63956e6i | 0.132889 | + | 0.0965495i | ||||
\(389\) | 1.51202e7 | + | 2.08112e7i | 0.256868 | + | 0.353548i | 0.917902 | − | 0.396808i | \(-0.129882\pi\) |
−0.661034 | + | 0.750356i | \(0.729882\pi\) | |||||||
\(390\) | −5.49124e7 | − | 1.06893e8i | −0.925714 | − | 1.80200i | ||||
\(391\) | 1.01579e7 | − | 3.12629e7i | 0.169932 | − | 0.522997i | ||||
\(392\) | 1.85272e6 | + | 2.55004e6i | 0.0307575 | + | 0.0423340i | ||||
\(393\) | −91197.1 | − | 563677.i | −0.00150246 | − | 0.00928651i | ||||
\(394\) | −2.52648e6 | − | 7.77571e6i | −0.0413073 | − | 0.127131i | ||||
\(395\) | 4.89959e7i | 0.795003i | ||||||||
\(396\) | −4.19141e6 | − | 3.41946e7i | −0.0674954 | − | 0.550645i | ||||
\(397\) | 7.15475e7 | 1.14347 | 0.571733 | − | 0.820440i | \(-0.306271\pi\) | ||||
0.571733 | + | 0.820440i | \(0.306271\pi\) | |||||||
\(398\) | 2.00564e7 | − | 6.51673e6i | 0.318130 | − | 0.103367i | ||||
\(399\) | 3.06381e7 | − | 4.95693e6i | 0.482329 | − | 0.0780358i | ||||
\(400\) | −1.37850e8 | + | 1.00154e8i | −2.15391 | + | 1.56491i | ||||
\(401\) | 6.79705e7 | + | 2.20850e7i | 1.05411 | + | 0.342502i | 0.784282 | − | 0.620405i | \(-0.213032\pi\) |
0.269832 | + | 0.962907i | \(0.413032\pi\) | |||||||
\(402\) | 3.50957e6 | − | 1.80292e6i | 0.0540226 | − | 0.0277522i | ||||
\(403\) | 6.92001e7 | − | 5.02768e7i | 1.05728 | − | 0.768161i | ||||
\(404\) | −2.30023e7 | + | 3.16599e7i | −0.348840 | + | 0.480137i | ||||
\(405\) | 1.11372e8 | − | 3.78293e7i | 1.67653 | − | 0.569461i | ||||
\(406\) | −1.12467e8 | −1.68053 | ||||||||
\(407\) | −3.24073e6 | + | 1.60834e7i | −0.0480684 | + | 0.238558i | ||||
\(408\) | −2.21345e7 | + | 2.22819e7i | −0.325903 | + | 0.328074i | ||||
\(409\) | −4.04057e7 | − | 1.24356e8i | −0.590572 | − | 1.81759i | −0.575636 | − | 0.817706i | \(-0.695245\pi\) |
−0.0149365 | − | 0.999888i | \(-0.504755\pi\) | |||||||
\(410\) | −1.14328e7 | + | 1.57359e7i | −0.165882 | + | 0.228318i | ||||
\(411\) | 3.84366e7 | + | 5.95701e6i | 0.553630 | + | 0.0858031i | ||||
\(412\) | −5.64671e6 | + | 1.73788e7i | −0.0807427 | + | 0.248501i | ||||
\(413\) | −1.17107e8 | − | 3.80504e7i | −1.66239 | − | 0.540144i | ||||
\(414\) | 3.46463e7 | + | 4.70267e7i | 0.488265 | + | 0.662740i | ||||
\(415\) | 2.68711e7 | + | 1.95230e7i | 0.375959 | + | 0.273150i | ||||
\(416\) | −6.28095e7 | + | 2.04080e7i | −0.872460 | + | 0.283479i | ||||
\(417\) | 5.70091e7 | − | 5.73890e7i | 0.786206 | − | 0.791444i | ||||
\(418\) | −3.86728e7 | + | 1.77121e7i | −0.529514 | + | 0.242517i | ||||
\(419\) | 5.50702e7i | 0.748642i | 0.927299 | + | 0.374321i | \(0.122124\pi\) | ||||
−0.927299 | + | 0.374321i | \(0.877876\pi\) | |||||||
\(420\) | −3.43355e7 | + | 6.79440e7i | −0.463443 | + | 0.917072i | ||||
\(421\) | −9.95474e6 | − | 7.23254e6i | −0.133409 | − | 0.0969270i | 0.519080 | − | 0.854726i | \(-0.326275\pi\) |
−0.652488 | + | 0.757799i | \(0.726275\pi\) | |||||||
\(422\) | −3.72537e7 | − | 5.12754e7i | −0.495716 | − | 0.682294i | ||||
\(423\) | 2.13195e7 | − | 6.71281e7i | 0.281680 | − | 0.886918i | ||||
\(424\) | −1.87696e6 | + | 5.77668e6i | −0.0246239 | + | 0.0757845i | ||||
\(425\) | −8.02452e7 | − | 1.10448e8i | −1.04533 | − | 1.43877i | ||||
\(426\) | −9.28312e7 | + | 1.50191e7i | −1.20079 | + | 0.194275i | ||||
\(427\) | 3.94587e7 | + | 1.21441e8i | 0.506826 | + | 1.55985i | ||||
\(428\) | 5.42495e6i | 0.0691934i | ||||||||
\(429\) | −6.79916e7 | − | 2.50188e7i | −0.861159 | − | 0.316880i | ||||
\(430\) | −1.08104e8 | −1.35968 | ||||||||
\(431\) | −7.58300e7 | + | 2.46386e7i | −0.947129 | + | 0.307741i | −0.741548 | − | 0.670899i | \(-0.765908\pi\) |
−0.205580 | + | 0.978640i | \(0.565908\pi\) | |||||||
\(432\) | −1.67154e7 | − | 9.91358e7i | −0.207332 | − | 1.22964i | ||||
\(433\) | 1.26363e7 | − | 9.18078e6i | 0.155652 | − | 0.113088i | −0.507233 | − | 0.861809i | \(-0.669332\pi\) |
0.662885 | + | 0.748721i | \(0.269332\pi\) | |||||||
\(434\) | −1.44425e8 | − | 4.69266e7i | −1.76675 | − | 0.574051i | ||||
\(435\) | 8.58041e7 | + | 1.67027e8i | 1.04241 | + | 2.02917i | ||||
\(436\) | −3.09702e7 | + | 2.25011e7i | −0.373666 | + | 0.271485i | ||||
\(437\) | 1.51259e7 | − | 2.08190e7i | 0.181249 | − | 0.249468i | ||||
\(438\) | 3.25397e7 | − | 6.43903e7i | 0.387249 | − | 0.766299i | ||||
\(439\) | −1.20838e8 | −1.42827 | −0.714135 | − | 0.700008i | \(-0.753180\pi\) | ||||
−0.714135 | + | 0.700008i | \(0.753180\pi\) | |||||||
\(440\) | −1.65395e7 | + | 8.20838e7i | −0.194162 | + | 0.963605i | ||||
\(441\) | −53679.4 | − | 8.08384e6i | −0.000625881 | − | 0.0942545i | ||||
\(442\) | −2.54314e7 | − | 7.82697e7i | −0.294512 | − | 0.906414i | ||||
\(443\) | −5.59431e7 | + | 7.69991e7i | −0.643481 | + | 0.885675i | −0.998795 | − | 0.0490718i | \(-0.984374\pi\) |
0.355315 | + | 0.934747i | \(0.384374\pi\) | |||||||
\(444\) | 1.80978e6 | − | 1.16773e7i | 0.0206765 | − | 0.133411i | ||||
\(445\) | 1.03617e7 | − | 3.18900e7i | 0.117585 | − | 0.361888i | ||||
\(446\) | 5.85604e7 | + | 1.90274e7i | 0.660085 | + | 0.214474i | ||||
\(447\) | −7.89555e7 | − | 1.22368e7i | −0.884016 | − | 0.137007i | ||||
\(448\) | −33448.0 | − | 24301.4i | −0.000371994 | − | 0.000270270i | ||||
\(449\) | 1.23122e8 | − | 4.00047e7i | 1.36018 | − | 0.441949i | 0.464077 | − | 0.885795i | \(-0.346386\pi\) |
0.896103 | + | 0.443846i | \(0.146386\pi\) | |||||||
\(450\) | 2.42585e8 | − | 1.61085e6i | 2.66212 | − | 0.0176773i | ||||
\(451\) | 1.34935e6 | + | 1.16483e7i | 0.0147094 | + | 0.126980i | ||||
\(452\) | − | 6.20122e7i | − | 0.671525i | ||||||
\(453\) | −7.87422e7 | − | 3.97924e7i | −0.847058 | − | 0.428061i | ||||
\(454\) | −3.25745e7 | − | 2.36668e7i | −0.348105 | − | 0.252913i | ||||
\(455\) | 9.41004e7 | + | 1.29518e8i | 0.998981 | + | 1.37498i | ||||
\(456\) | −2.18702e7 | + | 1.12350e7i | −0.230652 | + | 0.118490i | ||||
\(457\) | 1.83580e7 | − | 5.65002e7i | 0.192343 | − | 0.591972i | −0.807654 | − | 0.589657i | \(-0.799263\pi\) |
0.999997 | − | 0.00231534i | \(-0.000736997\pi\) | |||||||
\(458\) | 1.04598e8 | + | 1.43967e8i | 1.08875 | + | 1.49853i | ||||
\(459\) | 7.94292e7 | − | 1.33927e7i | 0.821377 | − | 0.138493i | ||||
\(460\) | 1.95052e7 | + | 6.00308e7i | 0.200390 | + | 0.616738i | ||||
\(461\) | − | 1.77711e8i | − | 1.81389i | −0.421247 | − | 0.906946i | \(-0.638408\pi\) | ||
0.421247 | − | 0.906946i | \(-0.361592\pi\) | |||||||
\(462\) | 3.50170e7 | + | 1.23764e8i | 0.355102 | + | 1.25508i | ||||
\(463\) | 1.42784e8 | 1.43858 | 0.719292 | − | 0.694708i | \(-0.244466\pi\) | ||||
0.719292 | + | 0.694708i | \(0.244466\pi\) | |||||||
\(464\) | 1.52645e8 | − | 4.95972e7i | 1.52801 | − | 0.496482i | ||||
\(465\) | 4.04944e7 | + | 2.50291e8i | 0.402751 | + | 2.48935i | ||||
\(466\) | 1.73471e8 | − | 1.26034e8i | 1.71424 | − | 1.24546i | ||||
\(467\) | 1.32992e8 | + | 4.32118e7i | 1.30580 | + | 0.424279i | 0.877594 | − | 0.479404i | \(-0.159147\pi\) |
0.428202 | + | 0.903683i | \(0.359147\pi\) | |||||||
\(468\) | 4.97323e7 | + | 1.57947e7i | 0.485178 | + | 0.154090i | ||||
\(469\) | −4.25241e6 | + | 3.08956e6i | −0.0412208 | + | 0.0299487i | ||||
\(470\) | 1.25377e8 | − | 1.72566e8i | 1.20760 | − | 1.66212i | ||||
\(471\) | −1.76517e8 | − | 8.92030e7i | −1.68937 | − | 0.853722i | ||||
\(472\) | 9.75469e7 | 0.927657 | ||||||||
\(473\) | −4.79675e7 | + | 4.41203e7i | −0.453277 | + | 0.416923i | ||||
\(474\) | −4.22997e7 | − | 4.20198e7i | −0.397194 | − | 0.394565i | ||||
\(475\) | −3.30264e7 | − | 1.01645e8i | −0.308163 | − | 0.948429i | ||||
\(476\) | −3.06436e7 | + | 4.21772e7i | −0.284131 | + | 0.391072i | ||||
\(477\) | 1.25417e7 | − | 9.23994e6i | 0.115558 | − | 0.0851362i | ||||
\(478\) | −7.96192e7 | + | 2.45043e8i | −0.729011 | + | 2.24366i | ||||
\(479\) | −9.52590e7 | − | 3.09515e7i | −0.866761 | − | 0.281628i | −0.158311 | − | 0.987389i | \(-0.550605\pi\) |
−0.708449 | + | 0.705762i | \(0.750605\pi\) | |||||||
\(480\) | 2.99816e7 | − | 1.93451e8i | 0.271101 | − | 1.74923i | ||||
\(481\) | −2.01042e7 | − | 1.46066e7i | −0.180656 | − | 0.131254i | ||||
\(482\) | −2.01053e8 | + | 6.53262e7i | −1.79544 | + | 0.583373i | ||||
\(483\) | −5.52060e7 | − | 5.48406e7i | −0.489942 | − | 0.486699i | ||||
\(484\) | −3.25981e7 | − | 5.37931e7i | −0.287512 | − | 0.474450i | ||||
\(485\) | 5.98090e7i | 0.524254i | ||||||||
\(486\) | −6.28553e7 | + | 1.28594e8i | −0.547562 | + | 1.12024i | ||||
\(487\) | 4.52944e7 | + | 3.29083e7i | 0.392155 | + | 0.284917i | 0.766338 | − | 0.642438i | \(-0.222077\pi\) |
−0.374183 | + | 0.927355i | \(0.622077\pi\) | |||||||
\(488\) | −5.94587e7 | − | 8.18379e7i | −0.511630 | − | 0.704199i | ||||
\(489\) | 2.28518e7 | + | 4.44834e7i | 0.195431 | + | 0.380427i | ||||
\(490\) | 7.56546e6 | − | 2.32841e7i | 0.0643054 | − | 0.197912i | ||||
\(491\) | 1.20867e7 | + | 1.66359e7i | 0.102109 | + | 0.140540i | 0.857014 | − | 0.515294i | \(-0.172317\pi\) |
−0.754905 | + | 0.655834i | \(0.772317\pi\) | |||||||
\(492\) | −1.34888e6 | − | 8.33725e6i | −0.0113260 | − | 0.0700048i | ||||
\(493\) | 3.97381e7 | + | 1.22301e8i | 0.331640 | + | 1.02068i | ||||
\(494\) | − | 6.44267e7i | − | 0.534423i | ||||||
\(495\) | 1.57090e8 | − | 1.46428e8i | 1.29519 | − | 1.20728i | ||||
\(496\) | 2.16714e8 | 1.77600 | ||||||||
\(497\) | 1.19146e8 | − | 3.87128e7i | 0.970531 | − | 0.315345i | ||||
\(498\) | −3.98999e7 | + | 6.45539e6i | −0.323061 | + | 0.0522679i | ||||
\(499\) | −1.27645e8 | + | 9.27392e7i | −1.02731 | + | 0.746383i | −0.967768 | − | 0.251843i | \(-0.918963\pi\) |
−0.0595397 | + | 0.998226i | \(0.518963\pi\) | |||||||
\(500\) | 1.32542e8 | + | 4.30657e7i | 1.06034 | + | 0.344525i | ||||
\(501\) | −1.46345e7 | + | 7.51796e6i | −0.116376 | + | 0.0597843i | ||||
\(502\) | −1.43235e8 | + | 1.04066e8i | −1.13224 | + | 0.822620i | ||||
\(503\) | 1.06285e8 | − | 1.46288e8i | 0.835153 | − | 1.14949i | −0.151789 | − | 0.988413i | \(-0.548503\pi\) |
0.986942 | − | 0.161076i | \(-0.0514966\pi\) | |||||||
\(504\) | 2.34439e7 | + | 7.05554e7i | 0.183121 | + | 0.551110i | ||||
\(505\) | −2.43945e8 | −1.89417 | ||||||||
\(506\) | 9.29190e7 | + | 5.23407e7i | 0.717221 | + | 0.404006i | ||||
\(507\) | −1.45110e7 | + | 1.46077e7i | −0.111346 | + | 0.112088i | ||||
\(508\) | −2.46804e7 | − | 7.59584e7i | −0.188261 | − | 0.579408i | ||||
\(509\) | 4.70944e7 | − | 6.48199e7i | 0.357121 | − | 0.491536i | −0.592222 | − | 0.805775i | \(-0.701749\pi\) |
0.949344 | + | 0.314239i | \(0.101749\pi\) | |||||||
\(510\) | 2.41068e8 | + | 3.73614e7i | 1.81731 | + | 0.281652i | ||||
\(511\) | −2.97001e7 | + | 9.14074e7i | −0.222584 | + | 0.685045i | ||||
\(512\) | −7.07647e7 | − | 2.29928e7i | −0.527238 | − | 0.171310i | ||||
\(513\) | 6.23777e7 | + | 9.24376e6i | 0.462038 | + | 0.0684694i | ||||
\(514\) | 1.89720e7 | + | 1.37839e7i | 0.139708 | + | 0.101504i | ||||
\(515\) | −1.08333e8 | + | 3.51994e7i | −0.793118 | + | 0.257700i | ||||
\(516\) | 3.30811e7 | − | 3.33015e7i | 0.240786 | − | 0.242390i | ||||
\(517\) | −1.47975e7 | − | 1.27740e8i | −0.107082 | − | 0.924392i | ||||
\(518\) | 4.41182e7i | 0.317416i | ||||||||
\(519\) | −4.34611e7 | + | 8.60019e7i | −0.310884 | + | 0.615185i | ||||
\(520\) | −1.02605e8 | − | 7.45466e7i | −0.729721 | − | 0.530173i | ||||
\(521\) | −1.00653e8 | − | 1.38537e8i | −0.711727 | − | 0.979608i | −0.999758 | − | 0.0219873i | \(-0.993001\pi\) |
0.288031 | − | 0.957621i | \(-0.406999\pi\) | |||||||
\(522\) | −2.17787e8 | − | 6.91678e7i | −1.53116 | − | 0.486287i | ||||
\(523\) | −2.13560e7 | + | 6.57270e7i | −0.149285 | + | 0.459451i | −0.997537 | − | 0.0701413i | \(-0.977655\pi\) |
0.848252 | + | 0.529592i | \(0.177655\pi\) | |||||||
\(524\) | 441353. | + | 607471.i | 0.00306756 | + | 0.00422213i | ||||
\(525\) | −3.19029e8 | + | 5.16156e7i | −2.20472 | + | 0.356700i | ||||
\(526\) | −6.91675e7 | − | 2.12876e8i | −0.475275 | − | 1.46275i | ||||
\(527\) | 1.73635e8i | 1.18633i | ||||||||
\(528\) | −1.02106e8 | − | 1.52536e8i | −0.693664 | − | 1.03626i | ||||
\(529\) | 8.35161e7 | 0.564161 | ||||||||
\(530\) | 4.48685e7 | − | 1.45786e7i | 0.301379 | − | 0.0979241i | ||||
\(531\) | −2.03371e8 | − | 1.45704e8i | −1.35833 | − | 0.973170i | ||||
\(532\) | −3.30185e7 | + | 2.39893e7i | −0.219292 | + | 0.159325i | ||||
\(533\) | −1.68917e7 | − | 5.48846e6i | −0.111556 | − | 0.0362467i | ||||
\(534\) | 1.86453e7 | + | 3.62950e7i | 0.122446 | + | 0.238354i | ||||
\(535\) | −2.73586e7 | + | 1.98772e7i | −0.178662 | + | 0.129806i | ||||
\(536\) | 2.44756e6 | − | 3.36877e6i | 0.0158942 | − | 0.0218765i | ||||
\(537\) | −1.20660e8 | + | 2.38766e8i | −0.779187 | + | 1.54187i | ||||
\(538\) | 2.08162e8 | 1.33676 | ||||||||
\(539\) | −6.14599e6 | − | 1.34192e7i | −0.0392487 | − | 0.0856962i | ||||
\(540\) | −1.08275e8 | + | 1.10454e8i | −0.687618 | + | 0.701454i | ||||
\(541\) | 7.35254e7 | + | 2.26288e8i | 0.464350 | + | 1.42912i | 0.859798 | + | 0.510634i | \(0.170589\pi\) |
−0.395448 | + | 0.918488i | \(0.629411\pi\) | |||||||
\(542\) | 1.54069e8 | − | 2.12058e8i | 0.967650 | − | 1.33186i | ||||
\(543\) | 5.96340e6 | − | 3.84778e7i | 0.0372473 | − | 0.240332i | ||||
\(544\) | 4.14276e7 | − | 1.27501e8i | 0.257332 | − | 0.791985i | ||||
\(545\) | −2.26951e8 | − | 7.37410e7i | −1.40198 | − | 0.455533i | ||||
\(546\) | −1.92519e8 | − | 2.98372e7i | −1.18276 | − | 0.183307i | ||||
\(547\) | 5.66815e7 | + | 4.11815e7i | 0.346321 | + | 0.251617i | 0.747324 | − | 0.664460i | \(-0.231338\pi\) |
−0.401003 | + | 0.916077i | \(0.631338\pi\) | |||||||
\(548\) | −4.86443e7 | + | 1.58055e7i | −0.295590 | + | 0.0960431i | ||||
\(549\) | 1.72272e6 | + | 2.59433e8i | 0.0104111 | + | 1.56786i | ||||
\(550\) | 4.02693e8 | − | 1.84433e8i | 2.42040 | − | 1.10854i | ||||
\(551\) | 1.00671e8i | 0.601796i | ||||||||
\(552\) | 5.50190e7 | + | 2.78039e7i | 0.327111 | + | 0.165306i | ||||
\(553\) | 6.42599e7 | + | 4.66876e7i | 0.379984 | + | 0.276074i | ||||
\(554\) | 5.11046e7 | + | 7.03395e7i | 0.300560 | + | 0.413685i | ||||
\(555\) | 6.55209e7 | − | 3.36590e7i | 0.383266 | − | 0.196890i | ||||
\(556\) | −3.28712e7 | + | 1.01167e8i | −0.191245 | + | 0.588593i | ||||
\(557\) | 1.32458e8 | + | 1.82313e8i | 0.766501 | + | 1.05500i | 0.996645 | + | 0.0818411i | \(0.0260800\pi\) |
−0.230145 | + | 0.973156i | \(0.573920\pi\) | |||||||
\(558\) | −2.50812e8 | − | 1.79694e8i | −1.44360 | − | 1.03426i | ||||
\(559\) | −3.05041e7 | − | 9.38820e7i | −0.174632 | − | 0.537461i | ||||
\(560\) | 4.05612e8i | 2.30965i | ||||||||
\(561\) | 1.22214e8 | − | 8.18089e7i | 0.692202 | − | 0.463353i | ||||
\(562\) | −5.85796e7 | −0.330018 | ||||||||
\(563\) | 1.16364e8 | − | 3.78090e7i | 0.652069 | − | 0.211870i | 0.0357428 | − | 0.999361i | \(-0.488620\pi\) |
0.616326 | + | 0.787491i | \(0.288620\pi\) | |||||||
\(564\) | 1.47924e7 | + | 9.14297e7i | 0.0824519 | + | 0.509624i | ||||
\(565\) | 3.12734e8 | − | 2.27215e8i | 1.73392 | − | 1.25977i | ||||
\(566\) | 1.72766e8 | + | 5.61351e7i | 0.952816 | + | 0.309589i | ||||
\(567\) | 5.65103e7 | − | 1.82115e8i | 0.310012 | − | 0.999074i | ||||
\(568\) | −8.02909e7 | + | 5.83348e7i | −0.438149 | + | 0.318334i | ||||
\(569\) | 2.38392e7 | − | 3.28118e7i | 0.129406 | − | 0.178112i | −0.739397 | − | 0.673269i | \(-0.764890\pi\) |
0.868803 | + | 0.495157i | \(0.164890\pi\) | |||||||
\(570\) | 1.70445e8 | + | 8.61346e7i | 0.920366 | + | 0.465107i | ||||
\(571\) | −1.88098e8 | −1.01036 | −0.505180 | − | 0.863014i | \(-0.668574\pi\) | ||||
−0.505180 | + | 0.863014i | \(0.668574\pi\) | |||||||
\(572\) | 9.46372e7 | − | 1.09628e7i | 0.505678 | − | 0.0585780i | ||||
\(573\) | −1.82248e8 | − | 1.81042e8i | −0.968723 | − | 0.962312i | ||||
\(574\) | 9.74403e6 | + | 2.99890e7i | 0.0515232 | + | 0.158572i | ||||
\(575\) | −1.57503e8 | + | 2.16784e8i | −0.828487 | + | 1.14031i | ||||
\(576\) | −49825.0 | − | 67629.2i | −0.000260723 | − | 0.000353889i | ||||
\(577\) | 8.14976e7 | − | 2.50824e8i | 0.424246 | − | 1.30569i | −0.479469 | − | 0.877559i | \(-0.659171\pi\) |
0.903715 | − | 0.428135i | \(-0.140829\pi\) | |||||||
\(578\) | −7.01085e7 | − | 2.27796e7i | −0.363067 | − | 0.117968i | ||||
\(579\) | 7.46719e6 | − | 4.81807e7i | 0.0384699 | − | 0.248221i | ||||
\(580\) | −1.99769e8 | − | 1.45140e8i | −1.02387 | − | 0.743883i | ||||
\(581\) | 5.12102e7 | − | 1.66392e7i | 0.261113 | − | 0.0848407i | ||||
\(582\) | −5.16350e7 | − | 5.12933e7i | −0.261924 | − | 0.260191i | ||||
\(583\) | 1.39589e7 | − | 2.47809e7i | 0.0704444 | − | 0.125058i | ||||
\(584\) | − | 7.61398e7i | − | 0.382273i | ||||||
\(585\) | 1.02566e8 | + | 3.08678e8i | 0.512316 | + | 1.54183i | ||||
\(586\) | 2.17672e8 | + | 1.58148e8i | 1.08171 | + | 0.785905i | ||||
\(587\) | 1.70850e8 | + | 2.35154e8i | 0.844695 | + | 1.16262i | 0.985007 | + | 0.172516i | \(0.0551896\pi\) |
−0.140312 | + | 0.990107i | \(0.544810\pi\) | |||||||
\(588\) | 4.85757e6 | + | 9.45577e6i | 0.0238939 | + | 0.0465120i | ||||
\(589\) | −4.20048e7 | + | 1.29277e8i | −0.205567 | + | 0.632669i | ||||
\(590\) | −4.45344e8 | − | 6.12963e8i | −2.16840 | − | 2.98455i | ||||
\(591\) | 3.53439e6 | + | 2.18456e7i | 0.0171219 | + | 0.105828i | ||||
\(592\) | −1.94559e7 | − | 5.98790e7i | −0.0937747 | − | 0.288609i | ||||
\(593\) | − | 2.09831e8i | − | 1.00625i | −0.864214 | − | 0.503125i | \(-0.832184\pi\) | ||
0.864214 | − | 0.503125i | \(-0.167816\pi\) | |||||||
\(594\) | −8.30707e6 | + | 2.61200e8i | −0.0396359 | + | 1.24627i | ||||
\(595\) | −3.24983e8 | −1.54280 | ||||||||
\(596\) | 9.99240e7 | − | 3.24673e7i | 0.471988 | − | 0.153358i | ||||
\(597\) | −5.63479e7 | + | 9.11651e6i | −0.264822 | + | 0.0428455i | ||||
\(598\) | −1.30682e8 | + | 9.49458e7i | −0.611098 | + | 0.443989i | ||||
\(599\) | −1.12408e8 | − | 3.65237e7i | −0.523020 | − | 0.169939i | 0.0355955 | − | 0.999366i | \(-0.488667\pi\) |
−0.558615 | + | 0.829427i | \(0.688667\pi\) | |||||||
\(600\) | 2.27731e8 | − | 1.16988e8i | 1.05431 | − | 0.541613i | ||||
\(601\) | −2.07934e8 | + | 1.51073e8i | −0.957861 | + | 0.695927i | −0.952653 | − | 0.304060i | \(-0.901658\pi\) |
−0.00520787 | + | 0.999986i | \(0.501658\pi\) | |||||||
\(602\) | −1.03011e8 | + | 1.41782e8i | −0.472165 | + | 0.649879i | ||||
\(603\) | −1.01347e7 | + | 3.36752e6i | −0.0462230 | + | 0.0153588i | ||||
\(604\) | 1.16017e8 | 0.526515 | ||||||||
\(605\) | 1.51844e8 | − | 3.61495e8i | 0.685696 | − | 1.63244i | ||||
\(606\) | 2.09212e8 | − | 2.10606e8i | 0.940087 | − | 0.946351i | ||||
\(607\) | −4.25583e7 | − | 1.30981e8i | −0.190291 | − | 0.585656i | 0.809708 | − | 0.586833i | \(-0.199625\pi\) |
−0.999999 | + | 0.00117699i | \(0.999625\pi\) | |||||||
\(608\) | 6.16886e7 | − | 8.49071e7i | 0.274470 | − | 0.377775i | ||||
\(609\) | 3.00824e8 | + | 4.66225e7i | 1.33186 | + | 0.206416i | ||||
\(610\) | −2.42797e8 | + | 7.47251e8i | −1.06968 | + | 3.29213i | ||||
\(611\) | 1.85242e8 | + | 6.01886e7i | 0.812110 | + | 0.263871i | ||||
\(612\) | −8.52790e7 | + | 6.28282e7i | −0.372038 | + | 0.274095i | ||||
\(613\) | −1.81084e8 | − | 1.31565e8i | −0.786138 | − | 0.571163i | 0.120677 | − | 0.992692i | \(-0.461494\pi\) |
−0.906815 | + | 0.421529i | \(0.861494\pi\) | |||||||
\(614\) | −3.37908e8 | + | 1.09793e8i | −1.45980 | + | 0.474317i | ||||
\(615\) | 3.71033e7 | − | 3.73505e7i | 0.159510 | − | 0.160573i | ||||
\(616\) | 9.18956e7 | + | 9.99087e7i | 0.393145 | + | 0.427426i | ||||
\(617\) | 1.10958e8i | 0.472392i | 0.971705 | + | 0.236196i | \(0.0759007\pi\) | ||||
−0.971705 | + | 0.236196i | \(0.924099\pi\) | |||||||
\(618\) | 6.25193e7 | − | 1.23715e8i | 0.264880 | − | 0.524150i | ||||
\(619\) | −9.60887e7 | − | 6.98125e7i | −0.405135 | − | 0.294348i | 0.366494 | − | 0.930420i | \(-0.380558\pi\) |
−0.771629 | + | 0.636072i | \(0.780558\pi\) | |||||||
\(620\) | −1.95975e8 | − | 2.69736e8i | −0.822291 | − | 1.13179i | ||||
\(621\) | −7.31764e7 | − | 1.40148e8i | −0.305560 | − | 0.585211i | ||||
\(622\) | −2.05672e7 | + | 6.32993e7i | −0.0854680 | + | 0.263044i | ||||
\(623\) | −3.19514e7 | − | 4.39773e7i | −0.132137 | − | 0.181872i | ||||
\(624\) | 2.74453e8 | − | 4.44036e7i | 1.12957 | − | 0.182753i | ||||
\(625\) | 1.07381e8 | + | 3.30484e8i | 0.439831 | + | 1.35366i | ||||
\(626\) | 5.16935e8i | 2.10724i | ||||||||
\(627\) | 1.10783e8 | − | 3.13443e7i | 0.449441 | − | 0.127162i | ||||
\(628\) | 2.60076e8 | 1.05008 | ||||||||
\(629\) | 4.79761e7 | − | 1.55884e7i | 0.192785 | − | 0.0626396i | ||||
\(630\) | 3.36323e8 | − | 4.69432e8i | 1.34504 | − | 1.87738i | ||||
\(631\) | 3.07959e8 | − | 2.23745e8i | 1.22576 | − | 0.890565i | 0.229192 | − | 0.973381i | \(-0.426392\pi\) |
0.996565 | + | 0.0828165i | \(0.0263915\pi\) | |||||||
\(632\) | −5.98447e7 | − | 1.94447e7i | −0.237069 | − | 0.0770283i | ||||
\(633\) | 7.83894e7 | + | 1.52593e8i | 0.309063 | + | 0.601623i | ||||
\(634\) | 1.38258e8 | − | 1.00450e8i | 0.542527 | − | 0.394169i | ||||
\(635\) | 2.92637e8 | − | 4.02780e8i | 1.14290 | − | 1.57306i | ||||
\(636\) | −9.23934e6 | + | 1.82830e7i | −0.0359145 | + | 0.0710684i | ||||
\(637\) | 2.23557e7 | 0.0864907 | ||||||||
\(638\) | −4.14433e8 | + | 4.80082e7i | −1.59585 | + | 0.184864i | ||||
\(639\) | 2.54529e8 | − | 1.69016e6i | 0.975515 | − | 0.00647775i | ||||
\(640\) | −1.43470e8 | − | 4.41556e8i | −0.547296 | − | 1.68440i | ||||
\(641\) | 2.29082e7 | − | 3.15305e7i | 0.0869795 | − | 0.119717i | −0.763310 | − | 0.646033i | \(-0.776427\pi\) |
0.850289 | + | 0.526316i | \(0.176427\pi\) | |||||||
\(642\) | 6.30262e6 | − | 4.06666e7i | 0.0238186 | − | 0.153685i | ||||
\(643\) | −6.50247e7 | + | 2.00125e8i | −0.244594 | + | 0.752782i | 0.751109 | + | 0.660178i | \(0.229519\pi\) |
−0.995703 | + | 0.0926041i | \(0.970481\pi\) | |||||||
\(644\) | 9.73188e7 | + | 3.16208e7i | 0.364367 | + | 0.118390i | ||||
\(645\) | 2.89154e8 | + | 4.48138e7i | 1.07758 | + | 0.167006i | ||||
\(646\) | 1.05806e8 | + | 7.68729e7i | 0.392477 | + | 0.285151i | ||||
\(647\) | −7.76723e6 | + | 2.52373e6i | −0.0286783 | + | 0.00931814i | −0.323321 | − | 0.946289i | \(-0.604799\pi\) |
0.294643 | + | 0.955607i | \(0.404799\pi\) | |||||||
\(648\) | 2.00607e6 | + | 1.51045e8i | 0.00737261 | + | 0.555114i | ||||
\(649\) | −4.47775e8 | − | 9.02244e7i | −1.63804 | − | 0.330058i | ||||
\(650\) | 6.70864e8i | 2.44284i | ||||||||
\(651\) | 3.66852e8 | + | 1.85389e8i | 1.32968 | + | 0.671955i | ||||
\(652\) | −5.32034e7 | − | 3.86545e7i | −0.191954 | − | 0.139463i | ||||
\(653\) | −1.40189e8 | − | 1.92954e8i | −0.503471 | − | 0.692969i | 0.479330 | − | 0.877635i | \(-0.340880\pi\) |
−0.982801 | + | 0.184666i | \(0.940880\pi\) | |||||||
\(654\) | 2.58300e8 | − | 1.32693e8i | 0.923404 | − | 0.474366i | ||||
\(655\) | −1.44641e6 | + | 4.45158e6i | −0.00514715 | + | 0.0158413i | ||||
\(656\) | −2.64500e7 | − | 3.64053e7i | −0.0936944 | − | 0.128959i | ||||
\(657\) | −1.13729e8 | + | 1.58740e8i | −0.401028 | + | 0.559746i | ||||
\(658\) | −1.06857e8 | − | 3.28872e8i | −0.375081 | − | 1.15438i | ||||
\(659\) | − | 5.69225e6i | − | 0.0198897i | −0.999951 | − | 0.00994483i | \(-0.996834\pi\) | ||
0.999951 | − | 0.00994483i | \(-0.00316559\pi\) | |||||||
\(660\) | −9.75213e7 | + | 2.65026e8i | −0.339209 | + | 0.921842i | ||||
\(661\) | 3.28619e8 | 1.13786 | 0.568929 | − | 0.822387i | \(-0.307358\pi\) | ||||
0.568929 | + | 0.822387i | \(0.307358\pi\) | |||||||
\(662\) | −3.46735e8 | + | 1.12661e8i | −1.19515 | + | 0.388329i | ||||
\(663\) | 3.55769e7 | + | 2.19896e8i | 0.122075 | + | 0.754531i | ||||
\(664\) | −3.45100e7 | + | 2.50729e7i | −0.117880 | + | 0.0856448i | ||||
\(665\) | −2.41961e8 | − | 7.86181e7i | −0.822775 | − | 0.267336i | ||||
\(666\) | −2.71330e7 | + | 8.54328e7i | −0.0918490 | + | 0.289203i | ||||
\(667\) | 2.04198e8 | − | 1.48359e8i | 0.688137 | − | 0.499961i | ||||
\(668\) | 1.27169e7 | − | 1.75033e7i | 0.0426630 | − | 0.0587205i | ||||
\(669\) | −1.48748e8 | − | 7.51699e7i | −0.496790 | − | 0.251053i | ||||
\(670\) | −3.23428e7 | −0.107536 | ||||||||
\(671\) | 1.97242e8 | + | 4.30660e8i | 0.652877 | + | 1.42550i | ||||
\(672\) | −2.25149e8 | − | 2.23659e8i | −0.741930 | − | 0.737019i | ||||
\(673\) | 3.62307e7 | + | 1.11507e8i | 0.118859 | + | 0.365810i | 0.992732 | − | 0.120344i | \(-0.0383996\pi\) |
−0.873873 | + | 0.486153i | \(0.838400\pi\) | |||||||
\(674\) | 1.00385e7 | − | 1.38169e7i | 0.0327862 | − | 0.0451263i | ||||
\(675\) | −6.49529e8 | − | 9.62536e7i | −2.11197 | − | 0.312972i | ||||
\(676\) | 8.36698e6 | − | 2.57509e7i | 0.0270850 | − | 0.0833590i | ||||
\(677\) | 1.03770e8 | + | 3.37168e7i | 0.334430 | + | 0.108663i | 0.471418 | − | 0.881910i | \(-0.343742\pi\) |
−0.136988 | + | 0.990573i | \(0.543742\pi\) | |||||||
\(678\) | −7.20448e7 | + | 4.64857e8i | −0.231161 | + | 1.49152i | ||||
\(679\) | 7.84418e7 | + | 5.69913e7i | 0.250575 | + | 0.182053i | ||||
\(680\) | 2.44852e8 | − | 7.95573e7i | 0.778713 | − | 0.253019i | ||||
\(681\) | 7.73186e7 | + | 7.68068e7i | 0.244817 | + | 0.243197i | ||||
\(682\) | −5.52229e8 | − | 1.11272e8i | −1.74087 | − | 0.350777i | ||||
\(683\) | − | 3.51234e8i | − | 1.10239i | −0.834377 | − | 0.551194i | \(-0.814172\pi\) | ||
0.834377 | − | 0.551194i | \(-0.185828\pi\) | |||||||
\(684\) | −7.86922e7 | + | 2.61476e7i | −0.245903 | + | 0.0817079i | ||||
\(685\) | −2.57943e8 | − | 1.87407e8i | −0.802513 | − | 0.583060i | ||||
\(686\) | 2.24176e8 | + | 3.08551e8i | 0.694410 | + | 0.955774i | ||||
\(687\) | −2.20095e8 | − | 4.28439e8i | −0.678798 | − | 1.32135i | ||||
\(688\) | 7.72853e7 | − | 2.37860e8i | 0.237319 | − | 0.730392i | ||||
\(689\) | 2.53214e7 | + | 3.48520e7i | 0.0774160 | + | 0.106554i | ||||
\(690\) | −7.64722e7 | − | 4.72664e8i | −0.232786 | − | 1.43882i | ||||
\(691\) | 8.26635e7 | + | 2.54412e8i | 0.250542 | + | 0.771088i | 0.994675 | + | 0.103057i | \(0.0328625\pi\) |
−0.744134 | + | 0.668031i | \(0.767138\pi\) | |||||||
\(692\) | − | 1.26713e8i | − | 0.382388i | ||||||
\(693\) | −4.23568e7 | − | 3.45558e8i | −0.127269 | − | 1.03830i | ||||
\(694\) | 1.00706e8 | 0.301284 | ||||||||
\(695\) | −6.30637e8 | + | 2.04906e8i | −1.87856 | + | 0.610381i | ||||
\(696\) | −2.38063e8 | + | 3.85161e7i | −0.706096 | + | 0.114239i | ||||
\(697\) | 2.91685e7 | − | 2.11921e7i | 0.0861421 | − | 0.0625859i | ||||
\(698\) | −1.26379e8 | − | 4.10632e7i | −0.371630 | − | 0.120750i | ||||
\(699\) | −5.16244e8 | + | 2.65202e8i | −1.51155 | + | 0.776507i | ||||
\(700\) | 3.43816e8 | − | 2.49797e8i | 1.00238 | − | 0.728270i | ||||
\(701\) | −1.90393e8 | + | 2.62053e8i | −0.552709 | + | 0.760738i | −0.990377 | − | 0.138398i | \(-0.955805\pi\) |
0.437668 | + | 0.899137i | \(0.355805\pi\) | |||||||
\(702\) | −3.54454e8 | − | 1.76179e8i | −1.02459 | − | 0.509263i | ||||
\(703\) | 3.94909e7 | 0.113666 | ||||||||
\(704\) | −133627. | − | 75271.4i | −0.000382981 | − | 0.000215731i | ||||
\(705\) | −4.06890e8 | + | 4.09601e8i | −1.16121 | + | 1.16894i | ||||
\(706\) | 6.73108e7 | + | 2.07161e8i | 0.191281 | + | 0.588701i | ||||
\(707\) | −2.32452e8 | + | 3.19943e8i | −0.657772 | + | 0.905346i | ||||
\(708\) | 3.25105e8 | + | 5.03856e7i | 0.916059 | + | 0.141973i | ||||
\(709\) | 5.97151e7 | − | 1.83784e8i | 0.167550 | − | 0.515667i | −0.831665 | − | 0.555278i | \(-0.812612\pi\) |
0.999215 | + | 0.0396110i | \(0.0126119\pi\) | |||||||
\(710\) | 7.33126e8 | + | 2.38207e8i | 2.04835 | + | 0.665548i | ||||
\(711\) | 9.57231e7 | + | 1.29928e8i | 0.266323 | + | 0.361489i | ||||
\(712\) | 3.48390e7 | + | 2.53120e7i | 0.0965218 | + | 0.0701272i | ||||
\(713\) | 3.24126e8 | − | 1.05315e8i | 0.894221 | − | 0.290550i | ||||
\(714\) | 2.78711e8 | − | 2.80568e8i | 0.765703 | − | 0.770804i | ||||
\(715\) | 4.02040e8 | + | 4.37097e8i | 1.09990 | + | 1.19580i | ||||
\(716\) | − | 3.51792e8i | − | 0.958400i | ||||||
\(717\) | 3.14544e8 | − | 6.22428e8i | 0.853344 | − | 1.68862i | ||||
\(718\) | −4.49213e7 | − | 3.26373e7i | −0.121361 | − | 0.0881739i | ||||
\(719\) | −2.41129e8 | − | 3.31885e8i | −0.648727 | − | 0.892897i | 0.350316 | − | 0.936632i | \(-0.386074\pi\) |
−0.999043 | + | 0.0437349i | \(0.986074\pi\) | |||||||
\(720\) | −2.49454e8 | + | 7.85449e8i | −0.668333 | + | 2.10436i | ||||
\(721\) | −5.70635e7 | + | 1.75623e8i | −0.152248 | + | 0.468572i | ||||
\(722\) | −2.15664e8 | − | 2.96835e8i | −0.573014 | − | 0.788686i | ||||
\(723\) | 5.64853e8 | − | 9.13873e7i | 1.49458 | − | 0.241808i | ||||
\(724\) | 1.58224e7 | + | 4.86964e7i | 0.0416925 | + | 0.128316i | ||||
\(725\) | − | 1.04827e9i | − | 2.75080i | ||||||
\(726\) | 1.81866e8 | + | 4.41117e8i | 0.475272 | + | 1.15277i | ||||
\(727\) | −241246. | −0.000627853 | −0.000313926 | − | 1.00000i | \(-0.500100\pi\) | ||||
−0.000313926 | 1.00000i | \(0.500100\pi\) | ||||||||
\(728\) | −1.95541e8 | + | 6.35352e7i | −0.506809 | + | 0.164672i | ||||
\(729\) | 2.21432e8 | − | 3.17904e8i | 0.571553 | − | 0.820565i | ||||
\(730\) | −4.78446e8 | + | 3.47611e8i | −1.22988 | + | 0.893563i | ||||
\(731\) | 1.90577e8 | + | 6.19223e7i | 0.487886 | + | 0.158524i | ||||
\(732\) | −1.55893e8 | − | 3.03462e8i | −0.397459 | − | 0.773697i | ||||
\(733\) | −2.61204e8 | + | 1.89776e8i | −0.663235 | + | 0.481869i | −0.867754 | − | 0.496994i | \(-0.834437\pi\) |
0.204519 | + | 0.978863i | \(0.434437\pi\) | |||||||
\(734\) | −4.90442e8 | + | 6.75036e8i | −1.24022 | + | 1.70702i | ||||
\(735\) | −2.98882e7 | + | 5.91435e7i | −0.0752727 | + | 0.148952i | ||||
\(736\) | −2.63134e8 | −0.660000 | ||||||||
\(737\) | −1.43510e7 | + | 1.32000e7i | −0.0358493 | + | 0.0329740i | ||||
\(738\) | 425413. | + | 6.40649e7i | 0.00105838 | + | 0.159386i | ||||
\(739\) | −1.45677e8 | − | 4.48346e8i | −0.360958 | − | 1.11091i | −0.952474 | − | 0.304620i | \(-0.901470\pi\) |
0.591516 | − | 0.806293i | \(-0.298530\pi\) | |||||||
\(740\) | −5.69353e7 | + | 7.83648e7i | −0.140503 | + | 0.193386i | ||||
\(741\) | −2.67077e7 | + | 1.72327e8i | −0.0656420 | + | 0.423544i | ||||
\(742\) | 2.36342e7 | − | 7.27385e7i | 0.0578533 | − | 0.178054i | ||||
\(743\) | −3.53359e8 | − | 1.14813e8i | −0.861488 | − | 0.279914i | −0.155238 | − | 0.987877i | \(-0.549614\pi\) |
−0.706250 | + | 0.707963i | \(0.749614\pi\) | |||||||
\(744\) | −3.21781e8 | − | 4.98705e7i | −0.781343 | − | 0.121095i | ||||
\(745\) | 5.29860e8 | + | 3.84966e8i | 1.28142 | + | 0.931009i | ||||
\(746\) | 9.48718e8 | − | 3.08257e8i | 2.28518 | − | 0.742500i | ||||
\(747\) | 1.09399e8 | − | 726448.i | 0.262454 | − | 0.00174278i | ||||
\(748\) | −9.49155e7 | + | 1.68501e8i | −0.226795 | + | 0.402622i | ||||
\(749\) | 5.48225e7i | 0.130471i | ||||||||
\(750\) | −9.43533e8 | − | 4.76815e8i | −2.23652 | − | 1.13023i | ||||
\(751\) | 4.23964e8 | + | 3.08028e8i | 1.00094 | + | 0.727227i | 0.962290 | − | 0.272026i | \(-0.0876936\pi\) |
0.0386522 | + | 0.999253i | \(0.487694\pi\) | |||||||
\(752\) | 2.90061e8 | + | 3.99235e8i | 0.682081 | + | 0.938804i | ||||
\(753\) | 4.26261e8 | − | 2.18977e8i | 0.998369 | − | 0.512877i | ||||
\(754\) | 1.95273e8 | − | 6.00988e8i | 0.455541 | − | 1.40201i | ||||
\(755\) | 4.25090e8 | + | 5.85086e8i | 0.987734 | + | 1.35950i | ||||
\(756\) | 4.16902e7 | + | 2.47257e8i | 0.0964870 | + | 0.572246i | ||||
\(757\) | 3.68353e7 | + | 1.13367e8i | 0.0849135 | + | 0.261337i | 0.984494 | − | 0.175418i | \(-0.0561277\pi\) |
−0.899581 | + | 0.436755i | \(0.856128\pi\) | |||||||
\(758\) | 1.97578e7i | 0.0453660i | ||||||||
\(759\) | −2.26840e8 | − | 1.78519e8i | −0.518793 | − | 0.408280i | ||||
\(760\) | 2.01547e8 | 0.459130 | ||||||||
\(761\) | 3.41670e8 | − | 1.11015e8i | 0.775269 | − | 0.251900i | 0.105450 | − | 0.994425i | \(-0.466372\pi\) |
0.669819 | + | 0.742524i | \(0.266372\pi\) | |||||||
\(762\) | 9.67621e7 | + | 5.98074e8i | 0.218696 | + | 1.35173i | ||||
\(763\) | −3.12973e8 | + | 2.27388e8i | −0.704585 | + | 0.511911i | ||||
\(764\) | 3.21273e8 | + | 1.04388e8i | 0.720434 | + | 0.234083i | ||||
\(765\) | −6.29314e8 | − | 1.99867e8i | −1.40567 | − | 0.446432i | ||||
\(766\) | −2.00609e7 | + | 1.45751e7i | −0.0446339 | + | 0.0324284i | ||||
\(767\) | 4.06659e8 | − | 5.59718e8i | 0.901247 | − | 1.24046i | ||||
\(768\) | 5.04074e8 | + | 2.54734e8i | 1.11278 | + | 0.562346i | ||||
\(769\) | −3.60022e7 | −0.0791682 | −0.0395841 | − | 0.999216i | \(-0.512603\pi\) | ||||
−0.0395841 | + | 0.999216i | \(0.512603\pi\) | |||||||
\(770\) | 2.08261e8 | − | 1.03358e9i | 0.456179 | − | 2.26397i | ||||
\(771\) | −4.50316e7 | − | 4.47336e7i | −0.0982550 | − | 0.0976047i | ||||
\(772\) | 1.98124e7 | + | 6.09762e7i | 0.0430611 | + | 0.132528i | ||||
\(773\) | −1.82076e8 | + | 2.50607e8i | −0.394199 | + | 0.542568i | −0.959276 | − | 0.282470i | \(-0.908846\pi\) |
0.565078 | + | 0.825038i | \(0.308846\pi\) | |||||||
\(774\) | −2.86672e8 | + | 2.11202e8i | −0.618249 | + | 0.455487i | ||||
\(775\) | 4.37388e8 | − | 1.34614e9i | 0.939641 | − | 2.89192i | ||||
\(776\) | −7.30521e7 | − | 2.37361e7i | −0.156332 | − | 0.0507953i | ||||
\(777\) | 1.82890e7 | − | 1.18006e8i | 0.0389875 | − | 0.251560i | ||||
\(778\) | 2.07596e8 | + | 1.50828e8i | 0.440840 | + | 0.320289i | ||||
\(779\) | 2.68436e7 | − | 8.72203e6i | 0.0567844 | − | 0.0184504i | ||||
\(780\) | −3.03456e8 | − | 3.01447e8i | −0.639457 | − | 0.635225i | ||||
\(781\) | 4.22519e8 | − | 1.93513e8i | 0.886939 | − | 0.406217i | ||||
\(782\) | − | 3.27903e8i | − | 0.685686i | ||||||
\(783\) | 5.53857e8 | + | 2.75290e8i | 1.15375 | + | 0.573463i | ||||
\(784\) | 4.58231e7 | + | 3.32924e7i | 0.0950902 | + | 0.0690871i | ||||
\(785\) | 9.52928e8 | + | 1.31159e9i | 1.96993 | + | 2.71138i | ||||
\(786\) | −2.60273e6 | − | 5.06649e6i | −0.00535996 | − | 0.0104337i | ||||
\(787\) | −3.97401e7 | + | 1.22307e8i | −0.0815276 | + | 0.250916i | −0.983509 | − | 0.180858i | \(-0.942112\pi\) |
0.901982 | + | 0.431775i | \(0.142112\pi\) | |||||||
\(788\) | −1.71049e7 | − | 2.35428e7i | −0.0349576 | − | 0.0481150i | ||||
\(789\) | 9.67611e7 | + | 5.98067e8i | 0.197002 | + | 1.21764i | ||||
\(790\) | 1.51031e8 | + | 4.64824e8i | 0.306326 | + | 0.942774i | ||||
\(791\) | − | 6.26673e8i | − | 1.26623i | ||||||
\(792\) | 1.16507e8 | + | 2.49985e8i | 0.234518 | + | 0.503197i | ||||
\(793\) | −7.17455e8 | −1.43872 | ||||||||
\(794\) | 6.78771e8 | − | 2.20546e8i | 1.35601 | − | 0.440593i | ||||
\(795\) | −1.26056e8 | + | 2.03946e7i | −0.250879 | + | 0.0405896i | ||||
\(796\) | 6.07257e7 | − | 4.41198e7i | 0.120402 | − | 0.0874772i | ||||
\(797\) | −5.18466e8 | − | 1.68460e8i | −1.02411 | − | 0.332752i | −0.251649 | − | 0.967819i | \(-0.580973\pi\) |
−0.772458 | + | 0.635066i | \(0.780973\pi\) | |||||||
\(798\) | 2.75384e8 | − | 1.41469e8i | 0.541913 | − | 0.278389i | ||||
\(799\) | −3.19873e8 | + | 2.32402e8i | −0.627101 | + | 0.455616i | ||||
\(800\) | −6.42353e8 | + | 8.84123e8i | −1.25460 | + | 1.72680i | ||||
\(801\) | −3.48260e7 | − | 1.04810e8i | −0.0677652 | − | 0.203942i | ||||
\(802\) | 7.12914e8 | 1.38202 | ||||||||
\(803\) | −7.04243e7 | + | 3.49508e8i | −0.136012 | + | 0.675011i | ||||
\(804\) | 9.89729e6 | − | 9.96323e6i | 0.0190436 | − | 0.0191704i | ||||
\(805\) | 1.97112e8 | + | 6.06649e8i | 0.377855 | + | 1.16292i | ||||
\(806\) | 5.01522e8 | − | 6.90286e8i | 0.957822 | − | 1.31833i | ||||
\(807\) | −5.56786e8 | − | 8.62922e7i | −1.05942 | − | 0.164192i | ||||
\(808\) | 9.68131e7 | − | 2.97960e8i | 0.183527 | − | 0.564838i | ||||
\(809\) | −5.29990e8 | − | 1.72204e8i | −1.00097 | − | 0.325236i | −0.237719 | − | 0.971334i | \(-0.576400\pi\) |
−0.763254 | + | 0.646098i | \(0.776400\pi\) | |||||||
\(810\) | 9.39976e8 | − | 7.02192e8i | 1.76873 | − | 1.32130i | ||||
\(811\) | −4.96630e8 | − | 3.60823e8i | −0.931044 | − | 0.676443i | 0.0152041 | − | 0.999884i | \(-0.495160\pi\) |
−0.946248 | + | 0.323441i | \(0.895160\pi\) | |||||||
\(812\) | −3.80714e8 | + | 1.23701e8i | −0.711100 | + | 0.231050i | ||||
\(813\) | −5.00008e8 | + | 5.03339e8i | −0.930476 | + | 0.936675i | ||||
\(814\) | 1.88325e7 | + | 1.62573e8i | 0.0349169 | + | 0.301422i | ||||
\(815\) | − | 4.09942e8i | − | 0.757267i | ||||||
\(816\) | −2.54549e8 | + | 5.03709e8i | −0.468491 | + | 0.927062i | ||||
\(817\) | 1.26912e8 | + | 9.22066e7i | 0.232721 | + | 0.169081i | ||||
\(818\) | −7.66658e8 | − | 1.05521e9i | −1.40069 | − | 1.92788i | ||||
\(819\) | 5.02576e8 | + | 1.59615e8i | 0.914851 | + | 0.290551i | ||||
\(820\) | −2.13936e7 | + | 6.58427e7i | −0.0388009 | + | 0.119417i | ||||
\(821\) | 4.40900e8 | + | 6.06847e8i | 0.796729 | + | 1.09660i | 0.993237 | + | 0.116101i | \(0.0370397\pi\) |
−0.196508 | + | 0.980502i | \(0.562960\pi\) | |||||||
\(822\) | 3.83011e8 | − | 6.19671e7i | 0.689597 | − | 0.111570i | ||||
\(823\) | −2.29493e8 | − | 7.06307e8i | −0.411690 | − | 1.26705i | −0.915178 | − | 0.403049i | \(-0.867950\pi\) |
0.503489 | − | 0.864002i | \(-0.332050\pi\) | |||||||
\(824\) | − | 1.46289e8i | − | 0.261476i | ||||||
\(825\) | −1.15357e9 | + | 3.26383e8i | −2.05439 | + | 0.581253i | ||||
\(826\) | −1.22829e9 | −2.17951 | ||||||||
\(827\) | −8.01263e8 | + | 2.60346e8i | −1.41664 | + | 0.460293i | −0.914532 | − | 0.404514i | \(-0.867441\pi\) |
−0.502105 | + | 0.864807i | \(0.667441\pi\) | |||||||
\(828\) | 1.69006e8 | + | 1.21084e8i | 0.297722 | + | 0.213302i | ||||
\(829\) | −7.51251e8 | + | 5.45815e8i | −1.31862 | + | 0.958037i | −0.318676 | + | 0.947864i | \(0.603238\pi\) |
−0.999948 | + | 0.0101733i | \(0.996762\pi\) | |||||||
\(830\) | 3.15106e8 | + | 1.02384e8i | 0.551089 | + | 0.179060i | ||||
\(831\) | −1.07534e8 | − | 2.09327e8i | −0.187389 | − | 0.364773i | ||||
\(832\) | 187934. | − | 136542.i | 0.000326313 | − | 0.000237081i | ||||
\(833\) | −2.66744e7 | + | 3.67142e7i | −0.0461487 | + | 0.0635183i | ||||
\(834\) | 3.63944e8 | − | 7.20181e8i | 0.627388 | − | 1.24149i | ||||
\(835\) | 1.34866e8 | 0.231656 | ||||||||
\(836\) | −1.11431e8 | + | 1.02494e8i | −0.190716 | + | 0.175419i | ||||
\(837\) | 5.96376e8 | + | 5.84612e8i | 1.01705 | + | 0.996992i | ||||
\(838\) | 1.69755e8 | + | 5.22451e8i | 0.288462 | + | 0.887796i | ||||
\(839\) | 3.59699e7 | − | 4.95083e7i | 0.0609050 | − | 0.0838286i | −0.777478 | − | 0.628910i | \(-0.783501\pi\) |
0.838383 | + | 0.545082i | \(0.183501\pi\) | |||||||
\(840\) | 9.33400e7 | − | 6.02261e8i | 0.157482 | − | 1.01612i | ||||
\(841\) | −1.21316e8 | + | 3.73371e8i | −0.203952 | + | 0.627701i | ||||
\(842\) | −1.16735e8 | − | 3.79295e7i | −0.195553 | − | 0.0635391i | ||||
\(843\) | 1.56687e8 | + | 2.42838e7i | 0.261547 | + | 0.0405354i | ||||
\(844\) | −1.82506e8 | − | 1.32598e8i | −0.303563 | − | 0.220552i | ||||
\(845\) | 1.60522e8 | − | 5.21566e7i | 0.266050 | − | 0.0864449i | ||||
\(846\) | −4.66525e6 | − | 7.02562e8i | −0.00770484 | − | 1.16031i | ||||
\(847\) | −3.29424e8 | − | 5.43613e8i | −0.542132 | − | 0.894622i | ||||
\(848\) | 1.09146e8i | 0.178987i | ||||||||
\(849\) | −4.38840e8 | − | 2.21768e8i | −0.717105 | − | 0.362389i | ||||
\(850\) | −1.10174e9 | − | 8.00464e8i | −1.79401 | − | 1.30342i | ||||
\(851\) | −5.81979e7 | − | 8.01025e7i | −0.0944318 | − | 0.129974i | ||||
\(852\) | −2.97725e8 | + | 1.52946e8i | −0.481390 | + | 0.247297i | ||||
\(853\) | 2.12931e8 | − | 6.55333e8i | 0.343077 | − | 1.05588i | −0.619529 | − | 0.784974i | \(-0.712676\pi\) |
0.962605 | − | 0.270907i | \(-0.0873237\pi\) | |||||||
\(854\) | 7.48689e8 | + | 1.03048e9i | 1.20207 | + | 1.65450i | ||||
\(855\) | −4.20196e8 | − | 3.01048e8i | −0.672285 | − | 0.481656i | ||||
\(856\) | −1.34208e7 | − | 4.13049e7i | −0.0213972 | − | 0.0658538i | ||||
\(857\) | 8.27098e8i | 1.31406i | 0.753865 | + | 0.657029i | \(0.228187\pi\) | ||||
−0.753865 | + | 0.657029i | \(0.771813\pi\) | |||||||
\(858\) | −7.22157e8 | − | 2.77684e7i | −1.14333 | − | 0.0439631i | ||||
\(859\) | −1.63485e8 | −0.257927 | −0.128964 | − | 0.991649i | \(-0.541165\pi\) | ||||
−0.128964 | + | 0.991649i | \(0.541165\pi\) | |||||||
\(860\) | −3.65945e8 | + | 1.18903e8i | −0.575334 | + | 0.186937i | ||||
\(861\) | −1.36313e7 | − | 8.42532e7i | −0.0213564 | − | 0.132001i | ||||
\(862\) | −6.43450e8 | + | 4.67494e8i | −1.00460 | + | 0.729884i | ||||
\(863\) | 6.91705e7 | + | 2.24749e7i | 0.107619 | + | 0.0349675i | 0.362331 | − | 0.932049i | \(-0.381981\pi\) |
−0.254713 | + | 0.967017i | \(0.581981\pi\) | |||||||
\(864\) | −2.98439e8 | − | 5.71573e8i | −0.462716 | − | 0.886198i | ||||
\(865\) | 6.39029e8 | − | 4.64281e8i | 0.987352 | − | 0.717353i | ||||
\(866\) | 9.15803e7 | − | 1.26049e8i | 0.141009 | − | 0.194083i | ||||
\(867\) | 1.78081e8 | + | 8.99934e7i | 0.273250 | + | 0.138087i | ||||
\(868\) | −5.40511e8 | −0.826505 | ||||||||
\(869\) | 2.56723e8 | + | 1.44610e8i | 0.391206 | + | 0.220364i | ||||
\(870\) | 1.32889e9 | + | 1.32009e9i | 2.01804 | + | 2.00469i | ||||
\(871\) | −9.12629e6 | − | 2.80878e7i | −0.0138115 | − | 0.0425073i | ||||
\(872\) | 1.80138e8 | − | 2.47938e8i | 0.271678 | − | 0.373933i | ||||
\(873\) | 1.16849e8 | + | 1.58603e8i | 0.175623 | + | 0.238379i | ||||
\(874\) | 7.93244e7 | − | 2.44135e8i | 0.118815 | − | 0.365676i | ||||
\(875\) | 1.33942e9 | + | 4.35206e8i | 1.99937 | + | 0.649636i | ||||
\(876\) | 3.93283e7 | − | 2.53759e8i | 0.0585050 | − | 0.377493i | ||||
\(877\) | −1.71659e8 | − | 1.24717e8i | −0.254488 | − | 0.184896i | 0.453226 | − | 0.891396i | \(-0.350273\pi\) |
−0.707713 | + | 0.706500i | \(0.750273\pi\) | |||||||
\(878\) | −1.14639e9 | + | 3.72485e8i | −1.69375 | + | 0.550333i | ||||
\(879\) | −5.16663e8 | − | 5.13244e8i | −0.760748 | − | 0.755713i | ||||
\(880\) | 1.73142e8 | + | 1.49466e9i | 0.254070 | + | 2.19327i | ||||
\(881\) | − | 1.33809e9i | − | 1.95685i | −0.206612 | − | 0.978423i | \(-0.566244\pi\) | ||
0.206612 | − | 0.978423i | \(-0.433756\pi\) | |||||||
\(882\) | −2.54278e7 | − | 7.65259e7i | −0.0370598 | − | 0.111533i | ||||
\(883\) | 8.08417e8 | + | 5.87349e8i | 1.17423 | + | 0.853128i | 0.991509 | − | 0.130036i | \(-0.0415094\pi\) |
0.182721 | + | 0.983165i | \(0.441509\pi\) | |||||||
\(884\) | −1.72176e8 | − | 2.36980e8i | −0.249239 | − | 0.343049i | ||||
\(885\) | 9.37094e8 | + | 1.82415e9i | 1.35193 | + | 2.63167i | ||||
\(886\) | −2.93382e8 | + | 9.02936e8i | −0.421824 | + | 1.29824i | ||||
\(887\) | 1.41796e8 | + | 1.95165e8i | 0.203186 | + | 0.279661i | 0.898434 | − | 0.439109i | \(-0.144706\pi\) |
−0.695248 | + | 0.718769i | \(0.744706\pi\) | |||||||
\(888\) | 1.51090e7 | + | 9.33867e7i | 0.0215773 | + | 0.133366i | ||||
\(889\) | −2.49411e8 | − | 7.67607e8i | −0.354985 | − | 1.09253i | ||||
\(890\) | − | 3.34481e8i | − | 0.474462i | ||||||
\(891\) | 1.30498e8 | − | 6.95206e8i | 0.184489 | − | 0.982835i | ||||
\(892\) | 2.19162e8 | 0.308796 | ||||||||
\(893\) | −2.94378e8 | + | 9.56493e7i | −0.413382 | + | 0.134316i | ||||
\(894\) | −7.86771e8 | + | 1.27291e8i | −1.10112 | + | 0.178150i | ||||
\(895\) | 1.77412e9 | − | 1.28898e9i | 2.47466 | − | 1.79794i | ||||
\(896\) | −7.15828e8 | − | 2.32587e8i | −0.995142 | − | 0.323341i | ||||
\(897\) | 3.88903e8 | − | 1.99785e8i | 0.538845 | − | 0.276813i | ||||
\(898\) | 1.04474e9 | − | 7.59050e8i | 1.44271 | − | 1.04819i | ||||
\(899\) | −7.83660e8 | + | 1.07862e9i | −1.07857 | + | 1.48453i | ||||
\(900\) | 8.19409e8 | − | 2.72271e8i | 1.12402 | − | 0.373485i | ||||
\(901\) | −8.74496e7 | −0.119559 | ||||||||
\(902\) | 4.87074e7 | + | 1.06348e8i | 0.0663705 | + | 0.144914i | ||||
\(903\) | 3.34306e8 | − | 3.36533e8i | 0.454026 | − | 0.457051i | ||||
\(904\) | 1.53412e8 | + | 4.72154e8i | 0.207661 | + | 0.639114i | ||||
\(905\) | −1.87607e8 | + | 2.58220e8i | −0.253107 | + | 0.348372i | ||||
\(906\) | −8.69688e8 | − | 1.34787e8i | −1.16944 | − | 0.181243i | ||||
\(907\) | −7.84265e7 | + | 2.41372e8i | −0.105109 | + | 0.323493i | −0.989756 | − | 0.142769i | \(-0.954399\pi\) |
0.884647 | + | 0.466262i | \(0.154399\pi\) | |||||||
\(908\) | −1.36300e8 | − | 4.42864e7i | −0.182069 | − | 0.0591579i | ||||
\(909\) | −6.46899e8 | + | 4.76595e8i | −0.861281 | + | 0.634538i | ||||
\(910\) | 1.29197e9 | + | 9.38672e8i | 1.71447 | + | 1.24563i | ||||
\(911\) | −1.05689e9 | + | 3.43403e8i | −1.39789 | + | 0.454202i | −0.908508 | − | 0.417868i | \(-0.862777\pi\) |
−0.489381 | + | 0.872070i | \(0.662777\pi\) | |||||||
\(912\) | −3.11375e8 | + | 3.13450e8i | −0.410487 | + | 0.413222i | ||||
\(913\) | 1.81604e8 | − | 8.31742e7i | 0.238623 | − | 0.109289i | ||||
\(914\) | − | 5.92606e8i | − | 0.776118i | ||||||
\(915\) | 9.59194e8 | − | 1.89808e9i | 1.25211 | − | 2.47771i | ||||
\(916\) | 5.12425e8 | + | 3.72298e8i | 0.666720 | + | 0.484401i | ||||
\(917\) | 4.46015e6 | + | 6.13887e6i | 0.00578418 | + | 0.00796124i | ||||
\(918\) | 7.12262e8 | − | 3.71898e8i | 0.920687 | − | 0.480724i | ||||
\(919\) | −2.69106e8 | + | 8.28223e8i | −0.346718 | + | 1.06709i | 0.613939 | + | 0.789353i | \(0.289584\pi\) |
−0.960657 | + | 0.277736i | \(0.910416\pi\) | |||||||
\(920\) | −2.97020e8 | − | 4.08813e8i | −0.381437 | − | 0.525003i | ||||
\(921\) | 9.49340e8 | − | 1.53593e8i | 1.21519 | − | 0.196605i | ||||
\(922\) | −5.47796e8 | − | 1.68594e9i | −0.698918 | − | 2.15105i | ||||
\(923\) | 7.03893e8i | 0.895162i | ||||||||
\(924\) | 2.54664e8 | + | 3.80443e8i | 0.322814 | + | 0.482251i | ||||
\(925\) | −4.11212e8 | −0.519566 | ||||||||
\(926\) | 1.35459e9 | − | 4.40132e8i | 1.70598 | − | 0.554307i | ||||
\(927\) | −2.18510e8 | + | 3.04992e8i | −0.274304 | + | 0.382868i | ||||
\(928\) | 8.32793e8 | − | 6.05060e8i | 1.04206 | − | 0.757102i | ||||
\(929\) | −9.30547e8 | − | 3.02353e8i | −1.16062 | − | 0.377109i | −0.335488 | − | 0.942045i | \(-0.608901\pi\) |
−0.825135 | + | 0.564935i | \(0.808901\pi\) | |||||||
\(930\) | 1.15569e9 | + | 2.24968e9i | 1.43679 | + | 2.79687i | ||||
\(931\) | −2.87417e7 | + | 2.08821e7i | −0.0356175 | + | 0.0258776i | ||||
\(932\) | 4.48598e8 | − | 6.17442e8i | 0.554127 | − | 0.762690i | ||||
\(933\) | 8.12529e7 | − | 1.60785e8i | 0.100045 | − | 0.197971i | ||||
\(934\) | 1.39490e9 | 1.71199 | ||||||||
\(935\) | −1.19754e9 | + | 1.38724e8i | −1.46506 | + | 0.169713i | ||||
\(936\) | −4.17731e8 | + | 2.77387e6i | −0.509411 | + | 0.00338266i | ||||
\(937\) | 1.06900e8 | + | 3.29004e8i | 0.129945 | + | 0.399929i | 0.994770 | − | 0.102145i | \(-0.0325705\pi\) |
−0.864825 | + | 0.502074i | \(0.832571\pi\) | |||||||
\(938\) | −3.08190e7 | + | 4.24187e7i | −0.0373431 | + | 0.0513984i | ||||
\(939\) | 2.14292e8 | − | 1.38268e9i | 0.258827 | − | 1.67004i | ||||
\(940\) | 2.34611e8 | − | 7.22057e8i | 0.282465 | − | 0.869337i | ||||
\(941\) | 5.74651e8 | + | 1.86715e8i | 0.689660 | + | 0.224084i | 0.632820 | − | 0.774299i | \(-0.281897\pi\) |
0.0568405 | + | 0.998383i | \(0.481897\pi\) | |||||||
\(942\) | −1.94959e9 | − | 3.02152e8i | −2.33233 | − | 0.361471i | ||||
\(943\) | −5.72511e7 | − | 4.15954e7i | −0.0682730 | − | 0.0496032i | ||||
\(944\) | 1.66708e9 | − | 5.41667e8i | 1.98171 | − | 0.643897i | ||||
\(945\) | −1.09419e9 | + | 1.11620e9i | −1.29657 | + | 1.32266i | ||||
\(946\) | −3.19067e8 | + | 5.66430e8i | −0.376884 | + | 0.669072i | ||||
\(947\) | − | 4.87332e8i | − | 0.573819i | −0.957958 | − | 0.286909i | \(-0.907372\pi\) | ||
0.957958 | − | 0.286909i | \(-0.0926278\pi\) | |||||||
\(948\) | −1.89407e8 | − | 9.57168e7i | −0.222316 | − | 0.112347i | ||||
\(949\) | −4.36885e8 | − | 3.17416e8i | −0.511174 | − | 0.371390i | ||||
\(950\) | −6.26644e8 | − | 8.62501e8i | −0.730886 | − | 1.00598i | ||||
\(951\) | −4.11449e8 | + | 2.11367e8i | −0.478382 | + | 0.245752i | ||||
\(952\) | 1.28974e8 | − | 3.96942e8i | 0.149483 | − | 0.460061i | ||||
\(953\) | −7.14274e8 | − | 9.83114e8i | −0.825251 | − | 1.13586i | −0.988788 | − | 0.149324i | \(-0.952290\pi\) |
0.163537 | − | 0.986537i | \(-0.447710\pi\) | |||||||
\(954\) | 9.05009e7 | − | 1.26319e8i | 0.104234 | − | 0.145487i | ||||
\(955\) | 6.50715e8 | + | 2.00270e9i | 0.747104 | + | 2.29935i | ||||
\(956\) | 9.17071e8i | 1.04961i | ||||||||
\(957\) | 1.12842e9 | + | 4.33899e7i | 1.28746 | + | 0.0495054i | ||||
\(958\) | −9.99130e8 | −1.13639 | ||||||||
\(959\) | −4.91581e8 | + | 1.59724e8i | −0.557365 | + | 0.181099i | ||||
\(960\) | 109975. | + | 679740.i | 0.000124303 | + | 0.000768297i | ||||
\(961\) | −7.38389e8 | + | 5.36471e8i | −0.831984 | + | 0.604472i | ||||
\(962\) | −2.35754e8 | − | 7.66011e7i | −0.264810 | − | 0.0860419i | ||||
\(963\) | −3.37162e7 | + | 1.06161e8i | −0.0377537 | + | 0.118874i | ||||
\(964\) | −6.08738e8 | + | 4.42274e8i | −0.679515 | + | 0.493697i | ||||
\(965\) | −2.34916e8 | + | 3.23335e8i | −0.261416 | + | 0.359808i | ||||
\(966\) | −6.92786e8 | − | 3.50100e8i | −0.768542 | − | 0.388383i | ||||
\(967\) | −4.28573e8 | −0.473964 | −0.236982 | − | 0.971514i | \(-0.576158\pi\) | ||||
−0.236982 | + | 0.971514i | \(0.576158\pi\) | |||||||
\(968\) | 3.81277e8 | + | 3.28930e8i | 0.420353 | + | 0.362641i | ||||
\(969\) | −2.51141e8 | − | 2.49479e8i | −0.276024 | − | 0.274197i | ||||
\(970\) | 1.84362e8 | + | 5.67408e8i | 0.202002 | + | 0.621700i | ||||
\(971\) | 1.27910e8 | − | 1.76053e8i | 0.139716 | − | 0.192303i | −0.733425 | − | 0.679771i | \(-0.762079\pi\) |
0.873141 | + | 0.487468i | \(0.162079\pi\) | |||||||
\(972\) | −7.13331e7 | + | 5.04440e8i | −0.0776770 | + | 0.549302i | ||||
\(973\) | −3.32184e8 | + | 1.02236e9i | −0.360612 | + | 1.10985i | ||||
\(974\) | 5.31149e8 | + | 1.72581e8i | 0.574830 | + | 0.186773i | ||||
\(975\) | 2.78103e8 | − | 1.79441e9i | 0.300048 | − | 1.93601i | ||||
\(976\) | −1.47059e9 | − | 1.06844e9i | −1.58176 | − | 1.14922i | ||||
\(977\) | 9.60496e7 | − | 3.12084e7i | 0.102994 | − | 0.0334648i | −0.257067 | − | 0.966394i | \(-0.582756\pi\) |
0.360061 | + | 0.932929i | \(0.382756\pi\) | |||||||
\(978\) | 3.53916e8 | + | 3.51573e8i | 0.378341 | + | 0.375837i | ||||
\(979\) | −1.36511e8 | − | 1.48415e8i | −0.145486 | − | 0.158172i | ||||
\(980\) | − | 8.71407e7i | − | 0.0925855i | ||||||
\(981\) | −7.45902e8 | + | 2.47846e8i | −0.790087 | + | 0.262528i | ||||
\(982\) | 1.65946e8 | + | 1.20567e8i | 0.175240 | + | 0.127319i | ||||
\(983\) | −5.57610e8 | − | 7.67485e8i | −0.587043 | − | 0.807996i | 0.407402 | − | 0.913249i | \(-0.366435\pi\) |
−0.994445 | + | 0.105253i | \(0.966435\pi\) | |||||||
\(984\) | 3.08958e7 | + | 6.01419e7i | 0.0324275 | + | 0.0631236i | ||||
\(985\) | 5.60563e7 | − | 1.72523e8i | 0.0586564 | − | 0.180526i | ||||
\(986\) | 7.53991e8 | + | 1.03778e9i | 0.786567 | + | 1.08262i | ||||
\(987\) | 1.49486e8 | + | 9.23955e8i | 0.155471 | + | 0.960946i | ||||
\(988\) | −7.08624e7 | − | 2.18092e8i | −0.0734760 | − | 0.226136i | ||||
\(989\) | − | 3.93310e8i | − | 0.406580i | ||||||
\(990\) | 1.03894e9 | − | 1.87339e9i | 1.07075 | − | 1.93074i | ||||
\(991\) | 1.18110e9 | 1.21358 | 0.606788 | − | 0.794863i | \(-0.292458\pi\) | ||||
0.606788 | + | 0.794863i | \(0.292458\pi\) | |||||||
\(992\) | 1.32190e9 | − | 4.29511e8i | 1.35414 | − | 0.439986i | ||||
\(993\) | 9.74141e8 | − | 1.57606e8i | 0.994888 | − | 0.160963i | ||||
\(994\) | 1.01100e9 | − | 7.34537e8i | 1.02942 | − | 0.747919i | ||||
\(995\) | 4.45002e8 | + | 1.44590e8i | 0.451744 | + | 0.146781i | ||||
\(996\) | −1.27966e8 | + | 6.57379e7i | −0.129514 | + | 0.0665331i | ||||
\(997\) | 1.60802e8 | − | 1.16829e8i | 0.162258 | − | 0.117887i | −0.503694 | − | 0.863882i | \(-0.668026\pi\) |
0.665951 | + | 0.745995i | \(0.268026\pi\) | |||||||
\(998\) | −9.25094e8 | + | 1.27328e9i | −0.930667 | + | 1.28095i | ||||
\(999\) | 1.07990e8 | − | 2.17266e8i | 0.108315 | − | 0.217919i |
(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 | 33.7.h.a.5.17 | yes | 88 | |
3.2 | odd | 2 | inner | 33.7.h.a.5.6 | ✓ | 88 | |
11.9 | even | 5 | inner | 33.7.h.a.20.6 | yes | 88 | |
33.20 | odd | 10 | inner | 33.7.h.a.20.17 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.7.h.a.5.6 | ✓ | 88 | 3.2 | odd | 2 | inner | |
33.7.h.a.5.17 | yes | 88 | 1.1 | even | 1 | trivial | |
33.7.h.a.20.6 | yes | 88 | 11.9 | even | 5 | inner | |
33.7.h.a.20.17 | yes | 88 | 33.20 | odd | 10 | inner |