Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,7,Mod(3,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
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("43.3");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.h (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(9.89232559565\) |
Analytic rank: | \(0\) |
Dimension: | \(252\) |
Relative dimension: | \(21\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 12.21 | ||
Character | \(\chi\) | \(=\) | 43.12 |
Dual form | 43.7.h.a.18.21 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{13}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 6.66612 | + | 13.8423i | 0.833265 | + | 1.73029i | 0.668163 | + | 0.744015i | \(0.267081\pi\) |
0.165102 | + | 0.986277i | \(0.447205\pi\) | |||||||
\(3\) | −20.8194 | − | 30.5364i | −0.771088 | − | 1.13098i | −0.987950 | − | 0.154776i | \(-0.950534\pi\) |
0.216862 | − | 0.976202i | \(-0.430418\pi\) | |||||||
\(4\) | −107.270 | + | 134.512i | −1.67609 | + | 2.10175i | ||||
\(5\) | 161.163 | − | 173.692i | 1.28930 | − | 1.38954i | 0.410853 | − | 0.911702i | \(-0.365231\pi\) |
0.878449 | − | 0.477836i | \(-0.158579\pi\) | |||||||
\(6\) | 283.911 | − | 491.748i | 1.31440 | − | 2.27661i | ||||
\(7\) | 325.973 | − | 188.201i | 0.950359 | − | 0.548690i | 0.0571666 | − | 0.998365i | \(-0.481793\pi\) |
0.893192 | + | 0.449675i | \(0.148460\pi\) | |||||||
\(8\) | −1618.40 | − | 369.389i | −3.16094 | − | 0.721463i | ||||
\(9\) | −232.693 | + | 592.892i | −0.319194 | + | 0.813294i | ||||
\(10\) | 3478.63 | + | 1073.02i | 3.47863 | + | 1.07302i | ||||
\(11\) | 54.5870 | + | 68.4499i | 0.0410120 | + | 0.0514274i | 0.801915 | − | 0.597439i | \(-0.203815\pi\) |
−0.760903 | + | 0.648866i | \(0.775243\pi\) | |||||||
\(12\) | 6340.80 | + | 475.178i | 3.66945 | + | 0.274987i | ||||
\(13\) | −439.732 | + | 135.639i | −0.200151 | + | 0.0617384i | −0.393210 | − | 0.919449i | \(-0.628635\pi\) |
0.193059 | + | 0.981187i | \(0.438159\pi\) | |||||||
\(14\) | 4778.11 | + | 3257.66i | 1.74129 | + | 1.18719i | ||||
\(15\) | −8659.25 | − | 1305.17i | −2.56570 | − | 0.386717i | ||||
\(16\) | −3225.05 | − | 14129.9i | −0.787366 | − | 3.44967i | ||||
\(17\) | 2671.95 | − | 2479.20i | 0.543852 | − | 0.504621i | −0.359718 | − | 0.933061i | \(-0.617127\pi\) |
0.903570 | + | 0.428440i | \(0.140937\pi\) | |||||||
\(18\) | −9758.16 | + | 731.273i | −1.67321 | + | 0.125390i | ||||
\(19\) | 6892.89 | − | 2705.26i | 1.00494 | − | 0.394410i | 0.194925 | − | 0.980818i | \(-0.437554\pi\) |
0.810016 | + | 0.586408i | \(0.199458\pi\) | |||||||
\(20\) | 6075.79 | + | 40310.2i | 0.759474 | + | 5.03878i | ||||
\(21\) | −12533.5 | − | 6035.83i | −1.35337 | − | 0.651747i | ||||
\(22\) | −583.623 | + | 1211.91i | −0.0548106 | + | 0.113815i | ||||
\(23\) | 9898.49 | − | 1491.96i | 0.813552 | − | 0.122623i | 0.270929 | − | 0.962599i | \(-0.412669\pi\) |
0.542623 | + | 0.839976i | \(0.317431\pi\) | |||||||
\(24\) | 22414.3 | + | 57110.6i | 1.62140 | + | 4.13126i | ||||
\(25\) | −3027.87 | − | 40404.1i | −0.193784 | − | 2.58586i | ||||
\(26\) | −4808.87 | − | 5182.73i | −0.273604 | − | 0.294875i | ||||
\(27\) | −3317.82 | + | 757.272i | −0.168563 | + | 0.0384734i | ||||
\(28\) | −9651.80 | + | 64035.5i | −0.439678 | + | 2.91707i | ||||
\(29\) | −8394.41 | + | 12312.3i | −0.344188 | + | 0.504831i | −0.958832 | − | 0.283973i | \(-0.908347\pi\) |
0.614644 | + | 0.788805i | \(0.289300\pi\) | |||||||
\(30\) | −39656.9 | − | 128565.i | −1.46877 | − | 4.76165i | ||||
\(31\) | −832.764 | + | 11112.5i | −0.0279535 | + | 0.373014i | 0.965631 | + | 0.259918i | \(0.0836957\pi\) |
−0.993584 | + | 0.113096i | \(0.963923\pi\) | |||||||
\(32\) | 91029.0 | − | 72593.2i | 2.77798 | − | 2.21537i | ||||
\(33\) | 953.748 | − | 3091.97i | 0.0265394 | − | 0.0860387i | ||||
\(34\) | 52129.5 | + | 20459.3i | 1.32631 | + | 0.520540i | ||||
\(35\) | 19845.8 | − | 86949.9i | 0.462875 | − | 2.02799i | ||||
\(36\) | −54790.1 | − | 94899.3i | −1.17434 | − | 2.03402i | ||||
\(37\) | −9433.01 | − | 5446.15i | −0.186228 | − | 0.107519i | 0.403987 | − | 0.914765i | \(-0.367624\pi\) |
−0.590216 | + | 0.807246i | \(0.700957\pi\) | |||||||
\(38\) | 83396.0 | + | 77380.1i | 1.51983 | + | 1.41019i | ||||
\(39\) | 13296.9 | + | 10603.9i | 0.224159 | + | 0.178761i | ||||
\(40\) | −324986. | + | 221572.i | −5.07790 | + | 3.46206i | ||||
\(41\) | 9308.02 | − | 4482.50i | 0.135053 | − | 0.0650383i | −0.365137 | − | 0.930954i | \(-0.618978\pi\) |
0.500190 | + | 0.865916i | \(0.333263\pi\) | |||||||
\(42\) | − | 213729.i | − | 2.88480i | ||||||
\(43\) | −70999.7 | + | 35782.7i | −0.893000 | + | 0.450057i | ||||
\(44\) | −15062.9 | −0.176827 | ||||||||
\(45\) | 65479.2 | + | 135969.i | 0.718565 | + | 1.49211i | ||||
\(46\) | 86636.6 | + | 127073.i | 0.890078 | + | 1.30550i | ||||
\(47\) | −23733.6 | + | 29761.0i | −0.228597 | + | 0.286652i | −0.882880 | − | 0.469598i | \(-0.844399\pi\) |
0.654283 | + | 0.756249i | \(0.272970\pi\) | |||||||
\(48\) | −364332. | + | 392657.i | −3.29438 | + | 3.55050i | ||||
\(49\) | 12014.5 | − | 20809.7i | 0.102122 | − | 0.176880i | ||||
\(50\) | 539103. | − | 311251.i | 4.31282 | − | 2.49001i | ||||
\(51\) | −131334. | − | 29976.2i | −0.990074 | − | 0.225978i | ||||
\(52\) | 28924.8 | − | 73699.2i | 0.205712 | − | 0.524146i | ||||
\(53\) | −35117.5 | − | 10832.3i | −0.235883 | − | 0.0727602i | 0.174560 | − | 0.984647i | \(-0.444150\pi\) |
−0.410443 | + | 0.911886i | \(0.634626\pi\) | |||||||
\(54\) | −32599.4 | − | 40878.4i | −0.207028 | − | 0.259605i | ||||
\(55\) | 20686.6 | + | 1550.25i | 0.124337 | + | 0.00931778i | ||||
\(56\) | −597074. | + | 184173.i | −3.39989 | + | 1.04873i | ||||
\(57\) | −226115. | − | 154162.i | −1.22097 | − | 0.832442i | ||||
\(58\) | −226390. | − | 34122.7i | −1.16031 | − | 0.174888i | ||||
\(59\) | 31717.6 | + | 138964.i | 0.154434 | + | 0.676621i | 0.991564 | + | 0.129617i | \(0.0413747\pi\) |
−0.837130 | + | 0.547004i | \(0.815768\pi\) | |||||||
\(60\) | 1.10444e6 | − | 1.02477e6i | 5.11313 | − | 4.74429i | ||||
\(61\) | 146213. | − | 10957.1i | 0.644163 | − | 0.0482734i | 0.251357 | − | 0.967895i | \(-0.419123\pi\) |
0.392806 | + | 0.919621i | \(0.371504\pi\) | |||||||
\(62\) | −159374. | + | 62549.6i | −0.668716 | + | 0.262452i | ||||
\(63\) | 35731.0 | + | 237060.i | 0.142897 | + | 0.948060i | ||||
\(64\) | 775959. | + | 373682.i | 2.96005 | + | 1.42549i | ||||
\(65\) | −47308.9 | + | 98238.0i | −0.172267 | + | 0.357717i | ||||
\(66\) | 49157.9 | − | 7409.37i | 0.170986 | − | 0.0257721i | ||||
\(67\) | −12202.2 | − | 31090.8i | −0.0405709 | − | 0.103373i | 0.909152 | − | 0.416464i | \(-0.136731\pi\) |
−0.949723 | + | 0.313091i | \(0.898636\pi\) | |||||||
\(68\) | 46863.7 | + | 625352.i | 0.149042 | + | 1.98883i | ||||
\(69\) | −251639. | − | 271203.i | −0.766005 | − | 0.825557i | ||||
\(70\) | 1.33588e6 | − | 304907.i | 3.89471 | − | 0.888941i | ||||
\(71\) | −88176.8 | + | 585015.i | −0.246365 | + | 1.63453i | 0.433475 | + | 0.901165i | \(0.357287\pi\) |
−0.679841 | + | 0.733360i | \(0.737951\pi\) | |||||||
\(72\) | 595598. | − | 873581.i | 1.59572 | − | 2.34049i | ||||
\(73\) | −180234. | − | 584305.i | −0.463307 | − | 1.50200i | −0.822514 | − | 0.568745i | \(-0.807429\pi\) |
0.359207 | − | 0.933258i | \(-0.383047\pi\) | |||||||
\(74\) | 12505.9 | − | 166880.i | 0.0308617 | − | 0.411821i | ||||
\(75\) | −1.17076e6 | + | 933649.i | −2.77513 | + | 2.21309i | ||||
\(76\) | −375509. | + | 1.21737e6i | −0.855420 | + | 2.77320i | ||||
\(77\) | 30676.2 | + | 12039.5i | 0.0671938 | + | 0.0263716i | ||||
\(78\) | −58144.3 | + | 254747.i | −0.122525 | + | 0.536815i | ||||
\(79\) | 471171. | + | 816092.i | 0.955646 | + | 1.65523i | 0.732882 | + | 0.680356i | \(0.238175\pi\) |
0.222765 | + | 0.974872i | \(0.428492\pi\) | |||||||
\(80\) | −2.97401e6 | − | 1.71704e6i | −5.80860 | − | 3.35360i | ||||
\(81\) | 432566. | + | 401362.i | 0.813949 | + | 0.755234i | ||||
\(82\) | 124097. | + | 98963.8i | 0.225070 | + | 0.179488i | ||||
\(83\) | 337478. | − | 230088.i | 0.590216 | − | 0.402402i | −0.231055 | − | 0.972941i | \(-0.574218\pi\) |
0.821271 | + | 0.570538i | \(0.193265\pi\) | |||||||
\(84\) | 2.15636e6 | − | 1.03845e6i | 3.63817 | − | 1.75205i | ||||
\(85\) | − | 863651.i | − | 1.40631i | ||||||
\(86\) | −968609. | − | 744270.i | −1.52284 | − | 1.17013i | ||||
\(87\) | 550741. | 0.836353 | ||||||||
\(88\) | −63058.9 | − | 130943.i | −0.0925334 | − | 0.192147i | ||||
\(89\) | 256722. | + | 376542.i | 0.364161 | + | 0.534126i | 0.963968 | − | 0.266019i | \(-0.0857084\pi\) |
−0.599807 | + | 0.800145i | \(0.704756\pi\) | |||||||
\(90\) | −1.44564e6 | + | 1.81277e6i | −1.98304 | + | 2.48665i | ||||
\(91\) | −117813. | + | 126973.i | −0.156340 | + | 0.168495i | ||||
\(92\) | −861122. | + | 1.49151e6i | −1.10586 | + | 1.91541i | ||||
\(93\) | 356672. | − | 205925.i | 0.443426 | − | 0.256012i | ||||
\(94\) | −570173. | − | 130138.i | −0.686473 | − | 0.156683i | ||||
\(95\) | 640995. | − | 1.63323e6i | 0.747625 | − | 1.90492i | ||||
\(96\) | −4.11190e6 | − | 1.26835e6i | −4.64760 | − | 1.43360i | ||||
\(97\) | 406104. | + | 509238.i | 0.444961 | + | 0.557963i | 0.952843 | − | 0.303463i | \(-0.0981430\pi\) |
−0.507883 | + | 0.861426i | \(0.669572\pi\) | |||||||
\(98\) | 368145. | + | 27588.7i | 0.391148 | + | 0.0293125i | ||||
\(99\) | −53285.3 | + | 16436.4i | −0.0549164 | + | 0.0169395i | ||||
\(100\) | 5.75964e6 | + | 3.92685e6i | 5.75964 | + | 3.92685i | ||||
\(101\) | 414170. | + | 62426.1i | 0.401989 | + | 0.0605902i | 0.346926 | − | 0.937893i | \(-0.387226\pi\) |
0.0550639 | + | 0.998483i | \(0.482464\pi\) | |||||||
\(102\) | −460549. | − | 2.01780e6i | −0.433986 | − | 1.90142i | ||||
\(103\) | −835996. | + | 775691.i | −0.765055 | + | 0.709868i | −0.962749 | − | 0.270396i | \(-0.912845\pi\) |
0.197694 | + | 0.980264i | \(0.436655\pi\) | |||||||
\(104\) | 761765. | − | 57086.4i | 0.677207 | − | 0.0507496i | ||||
\(105\) | −3.06832e6 | + | 1.20423e6i | −2.65053 | + | 1.04026i | ||||
\(106\) | −84152.9 | − | 558318.i | −0.0706564 | − | 0.468775i | ||||
\(107\) | 1.46876e6 | + | 707317.i | 1.19895 | + | 0.577382i | 0.923375 | − | 0.383899i | \(-0.125419\pi\) |
0.275570 | + | 0.961281i | \(0.411133\pi\) | |||||||
\(108\) | 254040. | − | 527519.i | 0.201665 | − | 0.418762i | ||||
\(109\) | −709517. | + | 106942.i | −0.547877 | + | 0.0825792i | −0.417147 | − | 0.908839i | \(-0.636970\pi\) |
−0.130730 | + | 0.991418i | \(0.541732\pi\) | |||||||
\(110\) | 116440. | + | 296685.i | 0.0874833 | + | 0.222904i | ||||
\(111\) | 30083.5 | + | 401436.i | 0.0219968 | + | 0.293526i | ||||
\(112\) | −3.71053e6 | − | 3.99900e6i | −2.64108 | − | 2.84641i | ||||
\(113\) | −2.40582e6 | + | 549113.i | −1.66735 | + | 0.380563i | −0.949040 | − | 0.315156i | \(-0.897943\pi\) |
−0.718315 | + | 0.695718i | \(0.755086\pi\) | |||||||
\(114\) | 626660. | − | 4.15762e6i | 0.422978 | − | 2.80628i | ||||
\(115\) | 1.33613e6 | − | 1.95974e6i | 0.878525 | − | 1.28856i | ||||
\(116\) | −755691. | − | 2.44989e6i | −0.484139 | − | 1.56954i | ||||
\(117\) | 21903.0 | − | 292275.i | 0.0136756 | − | 0.182488i | ||||
\(118\) | −1.71215e6 | + | 1.36539e6i | −1.04207 | + | 0.831021i | ||||
\(119\) | 404395. | − | 1.31102e6i | 0.239974 | − | 0.777978i | ||||
\(120\) | 1.35320e7 | + | 5.31092e6i | 7.83102 | + | 3.07345i | ||||
\(121\) | 392504. | − | 1.71967e6i | 0.221558 | − | 0.970710i | ||||
\(122\) | 1.12634e6 | + | 1.95088e6i | 0.620285 | + | 1.07437i | ||||
\(123\) | −330667. | − | 190911.i | −0.177695 | − | 0.102592i | ||||
\(124\) | −1.40543e6 | − | 1.30405e6i | −0.737130 | − | 0.683956i | ||||
\(125\) | −4.61132e6 | − | 3.67741e6i | −2.36100 | − | 1.88283i | ||||
\(126\) | −3.04327e6 | + | 2.07487e6i | −1.52135 | + | 1.03724i | ||||
\(127\) | −436487. | + | 210201.i | −0.213088 | + | 0.102618i | −0.537383 | − | 0.843338i | \(-0.680587\pi\) |
0.324295 | + | 0.945956i | \(0.394873\pi\) | |||||||
\(128\) | 5.78055e6i | 2.75638i | ||||||||
\(129\) | 2.57085e6 | + | 1.42310e6i | 1.19759 | + | 0.662930i | ||||
\(130\) | −1.67521e6 | −0.762498 | ||||||||
\(131\) | 583388. | + | 1.21142e6i | 0.259504 | + | 0.538865i | 0.989491 | − | 0.144596i | \(-0.0461882\pi\) |
−0.729987 | + | 0.683461i | \(0.760474\pi\) | |||||||
\(132\) | 313599. | + | 459966.i | 0.136349 | + | 0.199988i | ||||
\(133\) | 1.73777e6 | − | 2.17909e6i | 0.738646 | − | 0.926233i | ||||
\(134\) | 349028. | − | 376162.i | 0.145059 | − | 0.156337i | ||||
\(135\) | −403178. | + | 698324.i | −0.163868 | + | 0.283828i | ||||
\(136\) | −5.24007e6 | + | 3.02536e6i | −2.08315 | + | 1.20271i | ||||
\(137\) | −491614. | − | 112208.i | −0.191189 | − | 0.0436376i | 0.125854 | − | 0.992049i | \(-0.459833\pi\) |
−0.317043 | + | 0.948411i | \(0.602690\pi\) | |||||||
\(138\) | 2.07662e6 | − | 5.29115e6i | 0.790169 | − | 2.01332i | ||||
\(139\) | 4.05598e6 | + | 1.25110e6i | 1.51026 | + | 0.465853i | 0.935756 | − | 0.352649i | \(-0.114719\pi\) |
0.574503 | + | 0.818502i | \(0.305195\pi\) | |||||||
\(140\) | 9.56696e6 | + | 1.19966e7i | 3.48650 | + | 4.37193i | ||||
\(141\) | 1.40291e6 | + | 105134.i | 0.500465 | + | 0.0375047i | ||||
\(142\) | −8.68576e6 | + | 2.67920e6i | −3.03349 | + | 0.935709i | ||||
\(143\) | −33288.1 | − | 22695.4i | −0.0113836 | − | 0.00776123i | ||||
\(144\) | 9.12792e6 | + | 1.37581e6i | 3.05692 | + | 0.460757i | ||||
\(145\) | 785690. | + | 3.44233e6i | 0.257719 | + | 1.12914i | ||||
\(146\) | 6.88668e6 | − | 6.38990e6i | 2.21285 | − | 2.05322i | ||||
\(147\) | −885589. | + | 66365.7i | −0.278792 | + | 0.0208926i | ||||
\(148\) | 1.74445e6 | − | 684646.i | 0.538113 | − | 0.211194i | ||||
\(149\) | −818194. | − | 5.42836e6i | −0.247342 | − | 1.64101i | −0.675542 | − | 0.737322i | \(-0.736090\pi\) |
0.428200 | − | 0.903684i | \(-0.359148\pi\) | |||||||
\(150\) | −2.07283e7 | − | 9.98222e6i | −6.14172 | − | 2.95769i | ||||
\(151\) | 2.11984e6 | − | 4.40190e6i | 0.615705 | − | 1.27852i | −0.327040 | − | 0.945010i | \(-0.606051\pi\) |
0.942745 | − | 0.333514i | \(-0.108234\pi\) | |||||||
\(152\) | −1.21548e7 | + | 1.83203e6i | −3.46111 | + | 0.521678i | ||||
\(153\) | 848156. | + | 2.16107e6i | 0.236811 | + | 0.603384i | ||||
\(154\) | 37836.1 | + | 504887.i | 0.0103596 | + | 0.138239i | ||||
\(155\) | 1.79594e6 | + | 1.93556e6i | 0.482277 | + | 0.519770i | ||||
\(156\) | −2.85270e6 | + | 651111.i | −0.751421 | + | 0.171507i | ||||
\(157\) | −116729. | + | 774443.i | −0.0301632 | + | 0.200120i | −0.998837 | − | 0.0482172i | \(-0.984646\pi\) |
0.968674 | + | 0.248337i | \(0.0798841\pi\) | |||||||
\(158\) | −8.15574e6 | + | 1.19623e7i | −2.06772 | + | 3.03279i | ||||
\(159\) | 400345. | + | 1.29789e6i | 0.0995962 | + | 0.322883i | ||||
\(160\) | 2.06162e6 | − | 2.75103e7i | 0.503324 | − | 6.71639i | ||||
\(161\) | 2.94585e6 | − | 2.34924e6i | 0.705885 | − | 0.562924i | ||||
\(162\) | −2.67226e6 | + | 8.66325e6i | −0.628541 | + | 2.03768i | ||||
\(163\) | 6.45779e6 | + | 2.53450e6i | 1.49115 | + | 0.585233i | 0.964320 | − | 0.264738i | \(-0.0852853\pi\) |
0.526830 | + | 0.849971i | \(0.323381\pi\) | |||||||
\(164\) | −395518. | + | 1.73288e6i | −0.0896674 | + | 0.392859i | ||||
\(165\) | −383343. | − | 663970.i | −0.0853367 | − | 0.147807i | ||||
\(166\) | 5.43462e6 | + | 3.13768e6i | 1.18808 | + | 0.685938i | ||||
\(167\) | −2.54545e6 | − | 2.36183e6i | −0.546530 | − | 0.507106i | 0.357881 | − | 0.933767i | \(-0.383499\pi\) |
−0.904412 | + | 0.426661i | \(0.859690\pi\) | |||||||
\(168\) | 1.80547e7 | + | 1.43981e7i | 3.80770 | + | 3.03654i | ||||
\(169\) | −3.81313e6 | + | 2.59975e6i | −0.789990 | + | 0.538606i | ||||
\(170\) | 1.19550e7 | − | 5.75720e6i | 2.43333 | − | 1.17183i | ||||
\(171\) | 4.71623e6i | 0.943207i | ||||||||
\(172\) | 2.80292e6 | − | 1.33887e7i | 0.550839 | − | 2.63120i | ||||
\(173\) | 4.70125e6 | 0.907977 | 0.453988 | − | 0.891008i | \(-0.350001\pi\) | ||||
0.453988 | + | 0.891008i | \(0.350001\pi\) | |||||||
\(174\) | 3.67130e6 | + | 7.62354e6i | 0.696903 | + | 1.44713i | ||||
\(175\) | −8.59109e6 | − | 1.26008e7i | −1.60300 | − | 2.35117i | ||||
\(176\) | 791142. | − | 992061.i | 0.145116 | − | 0.181970i | ||||
\(177\) | 3.58312e6 | − | 3.86168e6i | 0.646161 | − | 0.696396i | ||||
\(178\) | −3.50088e6 | + | 6.06370e6i | −0.620751 | + | 1.07517i | ||||
\(179\) | −2.80170e6 | + | 1.61756e6i | −0.488498 | + | 0.282035i | −0.723951 | − | 0.689851i | \(-0.757676\pi\) |
0.235453 | + | 0.971886i | \(0.424343\pi\) | |||||||
\(180\) | −2.53134e7 | − | 5.77762e6i | −4.34043 | − | 0.990675i | ||||
\(181\) | −928786. | + | 2.36651e6i | −0.156632 | + | 0.399091i | −0.987550 | − | 0.157303i | \(-0.949720\pi\) |
0.830919 | + | 0.556394i | \(0.187815\pi\) | |||||||
\(182\) | −2.54295e6 | − | 784397.i | −0.421817 | − | 0.130113i | ||||
\(183\) | −3.37865e6 | − | 4.23670e6i | −0.551303 | − | 0.691312i | ||||
\(184\) | −1.65708e7 | − | 1.24181e6i | −2.66006 | − | 0.199344i | ||||
\(185\) | −2.46620e6 | + | 760723.i | −0.389506 | + | 0.120147i | ||||
\(186\) | 5.22810e6 | + | 3.56446e6i | 0.812466 | + | 0.553930i | ||||
\(187\) | 315555. | + | 47562.2i | 0.0482558 | + | 0.00727340i | ||||
\(188\) | −1.45732e6 | − | 6.38491e6i | −0.219321 | − | 0.960907i | ||||
\(189\) | −939003. | + | 871267.i | −0.139085 | + | 0.129052i | ||||
\(190\) | 2.68806e7 | − | 2.01443e6i | 3.91903 | − | 0.293691i | ||||
\(191\) | −3.93690e6 | + | 1.54512e6i | −0.565008 | + | 0.221749i | −0.630615 | − | 0.776096i | \(-0.717197\pi\) |
0.0656063 | + | 0.997846i | \(0.479102\pi\) | |||||||
\(192\) | −4.74407e6 | − | 3.14749e7i | −0.670266 | − | 4.44693i | ||||
\(193\) | 1.01692e7 | + | 4.89724e6i | 1.41454 | + | 0.681208i | 0.976054 | − | 0.217529i | \(-0.0697997\pi\) |
0.438489 | + | 0.898737i | \(0.355514\pi\) | |||||||
\(194\) | −4.34190e6 | + | 9.01606e6i | −0.594669 | + | 1.23484i | ||||
\(195\) | 3.98478e6 | − | 600609.i | 0.537403 | − | 0.0810005i | ||||
\(196\) | 1.51037e6 | + | 3.84835e6i | 0.200592 | + | 0.511100i | ||||
\(197\) | −700737. | − | 9.35069e6i | −0.0916551 | − | 1.22305i | −0.833515 | − | 0.552497i | \(-0.813675\pi\) |
0.741860 | − | 0.670555i | \(-0.233944\pi\) | |||||||
\(198\) | −582724. | − | 628027.i | −0.0750701 | − | 0.0809064i | ||||
\(199\) | −9.52639e6 | + | 2.17434e6i | −1.20884 | + | 0.275910i | −0.779017 | − | 0.627003i | \(-0.784282\pi\) |
−0.429824 | + | 0.902913i | \(0.641424\pi\) | |||||||
\(200\) | −1.00245e7 | + | 6.65085e7i | −1.25307 | + | 8.31356i | ||||
\(201\) | −695359. | + | 1.01990e6i | −0.0856290 | + | 0.125595i | ||||
\(202\) | 1.89678e6 | + | 6.14922e6i | 0.230125 | + | 0.746047i | ||||
\(203\) | −419162. | + | 5.59332e6i | −0.0501064 | + | 0.668624i | ||||
\(204\) | 1.81203e7 | − | 1.44505e7i | 2.13440 | − | 1.70213i | ||||
\(205\) | 721530. | − | 2.33914e6i | 0.0837515 | − | 0.271516i | ||||
\(206\) | −1.63102e7 | − | 6.40129e6i | −1.86577 | − | 0.732261i | ||||
\(207\) | −1.41874e6 | + | 6.21590e6i | −0.159953 | + | 0.700798i | ||||
\(208\) | 3.33472e6 | + | 5.77591e6i | 0.370569 | + | 0.641845i | ||||
\(209\) | 561437. | + | 324146.i | 0.0614982 | + | 0.0355060i | ||||
\(210\) | −3.71230e7 | − | 3.44451e7i | −4.00853 | − | 3.71938i | ||||
\(211\) | 3.77180e6 | + | 3.00791e6i | 0.401515 | + | 0.320197i | 0.803342 | − | 0.595518i | \(-0.203053\pi\) |
−0.401827 | + | 0.915716i | \(0.631625\pi\) | |||||||
\(212\) | 5.22412e6 | − | 3.56175e6i | 0.548285 | − | 0.373814i | ||||
\(213\) | 1.97000e7 | − | 9.48704e6i | 2.03858 | − | 0.981729i | ||||
\(214\) | 2.50461e7i | 2.55564i | ||||||||
\(215\) | −5.22734e6 | + | 1.80989e7i | −0.525975 | + | 1.82112i | ||||
\(216\) | 5.64930e6 | 0.560574 | ||||||||
\(217\) | 1.81991e6 | + | 3.77909e6i | 0.178103 | + | 0.369835i | ||||
\(218\) | −6.21005e6 | − | 9.10848e6i | −0.599413 | − | 0.879177i | ||||
\(219\) | −1.40902e7 | + | 1.76686e7i | −1.34148 | + | 1.68217i | ||||
\(220\) | −2.42757e6 | + | 2.61630e6i | −0.227984 | + | 0.245708i | ||||
\(221\) | −838662. | + | 1.45261e6i | −0.0776981 | + | 0.134577i | ||||
\(222\) | −5.35627e6 | + | 3.09244e6i | −0.489557 | + | 0.282646i | ||||
\(223\) | −246571. | − | 56278.2i | −0.0222345 | − | 0.00507488i | 0.211389 | − | 0.977402i | \(-0.432201\pi\) |
−0.233624 | + | 0.972327i | \(0.575058\pi\) | |||||||
\(224\) | 1.60109e7 | − | 4.07952e7i | 1.42453 | − | 3.62965i | ||||
\(225\) | 2.46598e7 | + | 7.60655e6i | 2.16492 | + | 0.667790i | ||||
\(226\) | −2.36385e7 | − | 2.96417e7i | −2.04783 | − | 2.56790i | ||||
\(227\) | −2.55850e6 | − | 191733.i | −0.218730 | − | 0.0163915i | −0.0350856 | − | 0.999384i | \(-0.511170\pi\) |
−0.183644 | + | 0.982993i | \(0.558789\pi\) | |||||||
\(228\) | 4.49920e7 | − | 1.38782e7i | 3.79604 | − | 1.17092i | ||||
\(229\) | 6.55232e6 | + | 4.46730e6i | 0.545618 | + | 0.371996i | 0.804537 | − | 0.593903i | \(-0.202414\pi\) |
−0.258918 | + | 0.965899i | \(0.583366\pi\) | |||||||
\(230\) | 3.60341e7 | + | 5.43127e6i | 2.96163 | + | 0.446394i | ||||
\(231\) | −271016. | − | 1.18740e6i | −0.0219866 | − | 0.0963296i | ||||
\(232\) | 1.81336e7 | − | 1.68255e7i | 1.45218 | − | 1.34742i | ||||
\(233\) | −1.91648e7 | + | 1.43620e6i | −1.51508 | + | 0.113540i | −0.806138 | − | 0.591727i | \(-0.798446\pi\) |
−0.708942 | + | 0.705267i | \(0.750827\pi\) | |||||||
\(234\) | 4.19178e6 | − | 1.64515e6i | 0.327153 | − | 0.128398i | ||||
\(235\) | 1.34428e6 | + | 8.91871e6i | 0.103582 | + | 0.687225i | ||||
\(236\) | −2.20946e7 | − | 1.06402e7i | −1.68093 | − | 0.809495i | ||||
\(237\) | 1.51110e7 | − | 3.13784e7i | 1.13514 | − | 2.35714i | ||||
\(238\) | 2.08433e7 | − | 3.14162e6i | 1.54609 | − | 0.233036i | ||||
\(239\) | 9.62970e6 | + | 2.45361e7i | 0.705373 | + | 1.79726i | 0.595562 | + | 0.803309i | \(0.296929\pi\) |
0.109811 | + | 0.993953i | \(0.464976\pi\) | |||||||
\(240\) | 9.48460e6 | + | 1.26563e8i | 0.686097 | + | 9.15533i | ||||
\(241\) | −1.04547e7 | − | 1.12675e7i | −0.746899 | − | 0.804966i | 0.239227 | − | 0.970964i | \(-0.423106\pi\) |
−0.986126 | + | 0.165998i | \(0.946916\pi\) | |||||||
\(242\) | 2.64207e7 | − | 6.03036e6i | 1.86423 | − | 0.425498i | ||||
\(243\) | 2.88066e6 | − | 1.91119e7i | 0.200758 | − | 1.33194i | ||||
\(244\) | −1.42103e7 | + | 2.08427e7i | −0.978217 | + | 1.43478i | ||||
\(245\) | −1.67820e6 | − | 5.44058e6i | −0.114115 | − | 0.369953i | ||||
\(246\) | 438384. | − | 5.84983e6i | 0.0294476 | − | 0.392951i | ||||
\(247\) | −2.66408e6 | + | 2.12454e6i | −0.176790 | + | 0.140985i | ||||
\(248\) | 5.45257e6 | − | 1.76768e7i | 0.357475 | − | 1.15891i | ||||
\(249\) | −1.40521e7 | − | 5.51506e6i | −0.910216 | − | 0.357234i | ||||
\(250\) | 2.01643e7 | − | 8.83455e7i | 1.29051 | − | 5.65411i | ||||
\(251\) | −6.85006e6 | − | 1.18647e7i | −0.433185 | − | 0.750299i | 0.563960 | − | 0.825802i | \(-0.309277\pi\) |
−0.997146 | + | 0.0755032i | \(0.975944\pi\) | |||||||
\(252\) | −3.57202e7 | − | 2.06231e7i | −2.23209 | − | 1.28870i | ||||
\(253\) | 642453. | + | 596109.i | 0.0396716 | + | 0.0368099i | ||||
\(254\) | −5.81934e6 | − | 4.64077e6i | −0.355118 | − | 0.283197i | ||||
\(255\) | −2.63728e7 | + | 1.79807e7i | −1.59051 | + | 1.08439i | ||||
\(256\) | −3.03549e7 | + | 1.46181e7i | −1.80929 | + | 0.871310i | ||||
\(257\) | 9.21308e6i | 0.542757i | 0.962473 | + | 0.271378i | \(0.0874795\pi\) | ||||
−0.962473 | + | 0.271378i | \(0.912521\pi\) | |||||||
\(258\) | −2.56152e6 | + | 4.50731e7i | −0.149155 | + | 2.62457i | ||||
\(259\) | −4.09988e6 | −0.235978 | ||||||||
\(260\) | −8.13937e6 | − | 1.69016e7i | −0.463096 | − | 0.961628i | ||||
\(261\) | −5.34656e6 | − | 7.84196e6i | −0.300714 | − | 0.441066i | ||||
\(262\) | −1.28799e7 | + | 1.61509e7i | −0.716159 | + | 0.898034i | ||||
\(263\) | −865738. | + | 933044.i | −0.0475904 | + | 0.0512903i | −0.756398 | − | 0.654111i | \(-0.773043\pi\) |
0.708808 | + | 0.705402i | \(0.249233\pi\) | |||||||
\(264\) | −2.68569e6 | + | 4.65175e6i | −0.145963 | + | 0.252816i | ||||
\(265\) | −7.54113e6 | + | 4.35387e6i | −0.405227 | + | 0.233958i | ||||
\(266\) | 4.17478e7 | + | 9.52867e6i | 2.21814 | + | 0.506276i | ||||
\(267\) | 6.15345e6 | − | 1.56787e7i | 0.323285 | − | 0.823716i | ||||
\(268\) | 5.49102e6 | + | 1.69375e6i | 0.285265 | + | 0.0879926i | ||||
\(269\) | −1.24045e7 | − | 1.55547e7i | −0.637268 | − | 0.799109i | 0.353390 | − | 0.935476i | \(-0.385029\pi\) |
−0.990658 | + | 0.136367i | \(0.956457\pi\) | |||||||
\(270\) | −1.23541e7 | − | 925809.i | −0.627651 | − | 0.0470360i | ||||
\(271\) | 1.73521e6 | − | 535241.i | 0.0871855 | − | 0.0268932i | −0.250856 | − | 0.968025i | \(-0.580712\pi\) |
0.338041 | + | 0.941131i | \(0.390236\pi\) | |||||||
\(272\) | −4.36480e7 | − | 2.97587e7i | −2.16899 | − | 1.47879i | ||||
\(273\) | 6.33009e6 | + | 954107.i | 0.311116 | + | 0.0468931i | ||||
\(274\) | −1.72394e6 | − | 7.55308e6i | −0.0838052 | − | 0.367174i | ||||
\(275\) | 2.60037e6 | − | 2.41280e6i | 0.125037 | − | 0.116017i | ||||
\(276\) | 6.34733e7 | − | 4.75667e6i | 3.01901 | − | 0.226243i | ||||
\(277\) | 2.27310e6 | − | 892124.i | 0.106949 | − | 0.0419746i | −0.311263 | − | 0.950324i | \(-0.600752\pi\) |
0.418212 | + | 0.908349i | \(0.362657\pi\) | |||||||
\(278\) | 9.71944e6 | + | 6.44842e7i | 0.452383 | + | 3.00137i | ||||
\(279\) | −6.39471e6 | − | 3.07953e6i | −0.294448 | − | 0.141799i | ||||
\(280\) | −6.42367e7 | + | 1.33389e8i | −2.92624 | + | 6.07639i | ||||
\(281\) | −1.57144e7 | + | 2.36857e6i | −0.708238 | + | 0.106750i | −0.493276 | − | 0.869873i | \(-0.664201\pi\) |
−0.214962 | + | 0.976622i | \(0.568963\pi\) | |||||||
\(282\) | 7.89669e6 | + | 2.01204e7i | 0.352126 | + | 0.897202i | ||||
\(283\) | −1.20370e6 | − | 1.60622e7i | −0.0531078 | − | 0.708674i | −0.958681 | − | 0.284484i | \(-0.908178\pi\) |
0.905573 | − | 0.424190i | \(-0.139441\pi\) | |||||||
\(284\) | −6.92328e7 | − | 7.46152e7i | −3.02243 | − | 3.25741i | ||||
\(285\) | −6.32181e7 | + | 1.44291e7i | −2.73091 | + | 0.623312i | ||||
\(286\) | 92255.6 | − | 612076.i | 0.00394361 | − | 0.0261642i | ||||
\(287\) | 2.19055e6 | − | 3.21295e6i | 0.0926634 | − | 0.135912i | ||||
\(288\) | 2.18581e7 | + | 7.08622e7i | 0.915029 | + | 2.96645i | ||||
\(289\) | −810958. | + | 1.08215e7i | −0.0335973 | + | 0.448325i | ||||
\(290\) | −4.24124e7 | + | 3.38228e7i | −1.73900 | + | 1.38680i | ||||
\(291\) | 7.09547e6 | − | 2.30030e7i | 0.287940 | − | 0.933479i | ||||
\(292\) | 9.79296e7 | + | 3.84346e7i | 3.93338 | + | 1.54374i | ||||
\(293\) | 4.29202e6 | − | 1.88046e7i | 0.170631 | − | 0.747585i | −0.815108 | − | 0.579308i | \(-0.803323\pi\) |
0.985740 | − | 0.168277i | \(-0.0538202\pi\) | |||||||
\(294\) | −6.82210e6 | − | 1.18162e7i | −0.268458 | − | 0.464982i | ||||
\(295\) | 2.92486e7 | + | 1.68867e7i | 1.13930 | + | 0.657777i | ||||
\(296\) | 1.32546e7 | + | 1.22985e7i | 0.511084 | + | 0.474217i | ||||
\(297\) | −232945. | − | 185768.i | −0.00889169 | − | 0.00709089i | ||||
\(298\) | 6.96870e7 | − | 4.75118e7i | 2.63332 | − | 1.79537i | ||||
\(299\) | −4.15031e6 | + | 1.99868e6i | −0.155263 | + | 0.0747706i | ||||
\(300\) | − | 2.57633e8i | − | 9.54198i | ||||||
\(301\) | −1.64097e7 | + | 2.50264e7i | −0.601728 | + | 0.917696i | ||||
\(302\) | 7.50636e7 | 2.72527 | ||||||||
\(303\) | −6.71649e6 | − | 1.39469e7i | −0.241443 | − | 0.501362i | ||||
\(304\) | −6.04549e7 | − | 8.86711e7i | −2.15184 | − | 3.15618i | ||||
\(305\) | 2.16609e7 | − | 2.71619e7i | 0.763443 | − | 0.957328i | ||||
\(306\) | −2.42603e7 | + | 2.61464e7i | −0.846705 | + | 0.912530i | ||||
\(307\) | −1.69829e7 | + | 2.94152e7i | −0.586943 | + | 1.01662i | 0.407687 | + | 0.913122i | \(0.366336\pi\) |
−0.994630 | + | 0.103494i | \(0.966998\pi\) | |||||||
\(308\) | −4.91009e6 | + | 2.83484e6i | −0.168049 | + | 0.0970234i | ||||
\(309\) | 4.10918e7 | + | 9.37893e6i | 1.39277 | + | 0.317891i | ||||
\(310\) | −1.48207e7 | + | 3.77626e7i | −0.497491 | + | 1.26759i | ||||
\(311\) | 5.90087e6 | + | 1.82018e6i | 0.196171 | + | 0.0605108i | 0.391284 | − | 0.920270i | \(-0.372031\pi\) |
−0.195113 | + | 0.980781i | \(0.562507\pi\) | |||||||
\(312\) | −1.76027e7 | − | 2.20731e7i | −0.579583 | − | 0.726774i | ||||
\(313\) | 4.76120e7 | + | 3.56803e6i | 1.55269 | + | 0.116358i | 0.823245 | − | 0.567687i | \(-0.192161\pi\) |
0.729441 | + | 0.684044i | \(0.239780\pi\) | |||||||
\(314\) | −1.14982e7 | + | 3.54673e6i | −0.371400 | + | 0.114562i | ||||
\(315\) | 4.69339e7 | + | 3.19990e7i | 1.50160 | + | 1.02378i | ||||
\(316\) | −1.60317e8 | − | 2.41638e7i | −5.08062 | − | 0.765781i | ||||
\(317\) | −6.11669e6 | − | 2.67990e7i | −0.192016 | − | 0.841279i | −0.975523 | − | 0.219896i | \(-0.929428\pi\) |
0.783507 | − | 0.621383i | \(-0.213429\pi\) | |||||||
\(318\) | −1.52970e7 | + | 1.41936e7i | −0.475692 | + | 0.441377i | ||||
\(319\) | −1.30100e6 | + | 97496.7i | −0.0400780 | + | 0.00300343i | ||||
\(320\) | 1.89961e8 | − | 7.45544e7i | 5.79716 | − | 2.27522i | ||||
\(321\) | −8.97972e6 | − | 5.95766e7i | −0.271486 | − | 1.80119i | ||||
\(322\) | 5.21564e7 | + | 2.51172e7i | 1.56221 | + | 0.752321i | ||||
\(323\) | 1.17105e7 | − | 2.43172e7i | 0.347512 | − | 0.721616i | ||||
\(324\) | −1.00389e8 | + | 1.51312e7i | −2.95156 | + | 0.444877i | ||||
\(325\) | 6.81183e6 | + | 1.73563e7i | 0.198433 | + | 0.505599i | ||||
\(326\) | 7.96505e6 | + | 1.06286e8i | 0.229898 | + | 3.06778i | ||||
\(327\) | 1.80373e7 | + | 1.94396e7i | 0.515857 | + | 0.555961i | ||||
\(328\) | −1.67199e7 | + | 3.81620e6i | −0.473818 | + | 0.108146i | ||||
\(329\) | −2.13548e6 | + | 1.41680e7i | −0.0599664 | + | 0.397851i | ||||
\(330\) | 6.63548e6 | − | 9.73246e6i | 0.184642 | − | 0.270820i | ||||
\(331\) | −1.68173e7 | − | 5.45203e7i | −0.463737 | − | 1.50340i | −0.821840 | − | 0.569718i | \(-0.807053\pi\) |
0.358103 | − | 0.933682i | \(-0.383424\pi\) | |||||||
\(332\) | −5.25149e6 | + | 7.00763e7i | −0.143505 | + | 1.91495i | ||||
\(333\) | 5.42397e6 | − | 4.32547e6i | 0.146887 | − | 0.117139i | ||||
\(334\) | 1.57250e7 | − | 5.09791e7i | 0.422037 | − | 1.36821i | ||||
\(335\) | −7.36677e6 | − | 2.89125e6i | −0.195949 | − | 0.0769043i | ||||
\(336\) | −4.48642e7 | + | 1.96563e8i | −1.18272 | + | 5.18184i | ||||
\(337\) | 1.05009e7 | + | 1.81881e7i | 0.274371 | + | 0.475224i | 0.969976 | − | 0.243200i | \(-0.0781971\pi\) |
−0.695605 | + | 0.718424i | \(0.744864\pi\) | |||||||
\(338\) | −6.14054e7 | − | 3.54524e7i | −1.59022 | − | 0.918112i | ||||
\(339\) | 6.68556e7 | + | 6.20330e7i | 1.71609 | + | 1.59229i | ||||
\(340\) | 1.16171e8 | + | 9.26437e7i | 2.95572 | + | 2.35711i | ||||
\(341\) | −806105. | + | 549593.i | −0.0203296 | + | 0.0138605i | ||||
\(342\) | −6.52837e7 | + | 3.14390e7i | −1.63202 | + | 0.785941i | ||||
\(343\) | 3.52387e7i | 0.873248i | ||||||||
\(344\) | 1.28124e8 | − | 3.16842e7i | 3.14742 | − | 0.778337i | ||||
\(345\) | −8.76607e7 | −2.13475 | ||||||||
\(346\) | 3.13391e7 | + | 6.50762e7i | 0.756585 | + | 1.57106i | ||||
\(347\) | −1.31292e7 | − | 1.92570e7i | −0.314231 | − | 0.460893i | 0.636336 | − | 0.771412i | \(-0.280449\pi\) |
−0.950567 | + | 0.310519i | \(0.899497\pi\) | |||||||
\(348\) | −5.90778e7 | + | 7.40813e7i | −1.40180 | + | 1.75780i | ||||
\(349\) | −2.96492e7 | + | 3.19543e7i | −0.697488 | + | 0.751714i | −0.978106 | − | 0.208106i | \(-0.933270\pi\) |
0.280618 | + | 0.959820i | \(0.409461\pi\) | |||||||
\(350\) | 1.17155e8 | − | 2.02919e8i | 2.73249 | − | 4.73281i | ||||
\(351\) | 1.35624e6 | − | 783024.i | 0.0313628 | − | 0.0181073i | ||||
\(352\) | 9.93799e6 | + | 2.26828e6i | 0.227861 | + | 0.0520079i | ||||
\(353\) | 5.98221e6 | − | 1.52424e7i | 0.136000 | − | 0.346521i | −0.846608 | − | 0.532218i | \(-0.821359\pi\) |
0.982607 | + | 0.185696i | \(0.0594541\pi\) | |||||||
\(354\) | 7.73401e7 | + | 2.38563e7i | 1.74339 | + | 0.537765i | ||||
\(355\) | 8.74016e7 | + | 1.09598e8i | 1.95360 | + | 2.44973i | ||||
\(356\) | −7.81879e7 | − | 5.85937e6i | −1.73296 | − | 0.129868i | ||||
\(357\) | −4.84530e7 | + | 1.49458e7i | −1.06492 | + | 0.328483i | ||||
\(358\) | −4.10674e7 | − | 2.79992e7i | −0.895051 | − | 0.610235i | ||||
\(359\) | −3.18286e7 | − | 4.79739e6i | −0.687913 | − | 0.103686i | −0.204222 | − | 0.978925i | \(-0.565466\pi\) |
−0.483692 | + | 0.875238i | \(0.660704\pi\) | |||||||
\(360\) | −5.57461e7 | − | 2.44239e8i | −1.19483 | − | 5.23490i | ||||
\(361\) | 5.70647e6 | − | 5.29483e6i | 0.121296 | − | 0.112546i | ||||
\(362\) | −3.89494e7 | + | 2.91885e6i | −0.821060 | + | 0.0615300i | ||||
\(363\) | −6.06843e7 | + | 2.38168e7i | −1.26869 | + | 0.497925i | ||||
\(364\) | −4.44153e6 | − | 2.94676e7i | −0.0920934 | − | 0.611000i | ||||
\(365\) | −1.30536e8 | − | 6.28629e7i | −2.68443 | − | 1.29275i | ||||
\(366\) | 3.61233e7 | − | 7.50107e7i | 0.736790 | − | 1.52996i | ||||
\(367\) | 2.48998e7 | − | 3.75304e6i | 0.503729 | − | 0.0759249i | 0.107738 | − | 0.994179i | \(-0.465639\pi\) |
0.395991 | + | 0.918254i | \(0.370401\pi\) | |||||||
\(368\) | −5.30043e7 | − | 1.35053e8i | −1.06357 | − | 2.70994i | ||||
\(369\) | 491731. | + | 6.56169e6i | 0.00978697 | + | 0.130598i | ||||
\(370\) | −2.69702e7 | − | 2.90670e7i | −0.532450 | − | 0.573845i | ||||
\(371\) | −1.34860e7 | + | 3.07810e6i | −0.264096 | + | 0.0602782i | ||||
\(372\) | −1.05608e7 | + | 7.00662e7i | −0.205148 | + | 1.36107i | ||||
\(373\) | 5.16378e7 | − | 7.57388e7i | 0.995042 | − | 1.45946i | 0.110009 | − | 0.993931i | \(-0.464912\pi\) |
0.885033 | − | 0.465528i | \(-0.154135\pi\) | |||||||
\(374\) | 1.44515e6 | + | 4.68507e6i | 0.0276248 | + | 0.0895573i | ||||
\(375\) | −1.62900e7 | + | 2.17375e8i | −0.308906 | + | 4.12207i | ||||
\(376\) | 4.94039e7 | − | 3.93983e7i | 0.929389 | − | 0.741163i | ||||
\(377\) | 2.02125e6 | − | 6.55273e6i | 0.0377221 | − | 0.122292i | ||||
\(378\) | −1.83199e7 | − | 7.19002e6i | −0.339193 | − | 0.133123i | ||||
\(379\) | 9.46005e6 | − | 4.14472e7i | 0.173770 | − | 0.761338i | −0.810653 | − | 0.585526i | \(-0.800888\pi\) |
0.984424 | − | 0.175812i | \(-0.0562550\pi\) | |||||||
\(380\) | 1.50930e8 | + | 2.61418e8i | 2.75057 | + | 4.76413i | ||||
\(381\) | 1.55062e7 | + | 8.95248e6i | 0.280369 | + | 0.161871i | ||||
\(382\) | −4.76319e7 | − | 4.41960e7i | −0.854492 | − | 0.792853i | ||||
\(383\) | −6.63609e7 | − | 5.29210e7i | −1.18118 | − | 0.941959i | −0.182034 | − | 0.983292i | \(-0.558268\pi\) |
−0.999145 | + | 0.0413330i | \(0.986840\pi\) | |||||||
\(384\) | 1.76517e8 | − | 1.20347e8i | 3.11741 | − | 2.12541i | ||||
\(385\) | 7.03503e6 | − | 3.38789e6i | 0.123278 | − | 0.0593673i | ||||
\(386\) | 1.73411e8i | 3.01520i | ||||||||
\(387\) | −4.69414e6 | − | 5.04215e7i | −0.0809885 | − | 0.869927i | ||||
\(388\) | −1.12061e8 | −1.91849 | ||||||||
\(389\) | −993317. | − | 2.06264e6i | −0.0168748 | − | 0.0350409i | 0.892361 | − | 0.451322i | \(-0.149047\pi\) |
−0.909236 | + | 0.416281i | \(0.863333\pi\) | |||||||
\(390\) | 3.48768e7 | + | 5.11549e7i | 0.587953 | + | 0.862369i | ||||
\(391\) | 2.27494e7 | − | 2.85268e7i | 0.380574 | − | 0.477225i | ||||
\(392\) | −2.71312e7 | + | 2.92404e7i | −0.450412 | + | 0.485429i | ||||
\(393\) | 2.48466e7 | − | 4.30355e7i | 0.409345 | − | 0.709006i | ||||
\(394\) | 1.24764e8 | − | 7.20326e7i | 2.03986 | − | 1.17772i | ||||
\(395\) | 2.17684e8 | + | 4.96850e7i | 3.53212 | + | 0.806183i | ||||
\(396\) | 3.50502e6 | − | 8.93064e6i | 0.0564423 | − | 0.143813i | ||||
\(397\) | 1.09384e8 | + | 3.37405e7i | 1.74816 | + | 0.539237i | 0.993189 | − | 0.116518i | \(-0.0371732\pi\) |
0.754974 | + | 0.655755i | \(0.227649\pi\) | |||||||
\(398\) | −9.36019e7 | − | 1.17373e8i | −1.48469 | − | 1.86174i | ||||
\(399\) | −1.02721e8 | − | 7.69786e6i | −1.61711 | − | 0.121186i | ||||
\(400\) | −5.61140e8 | + | 1.73089e8i | −8.76781 | + | 2.70451i | ||||
\(401\) | 2.46974e7 | + | 1.68384e7i | 0.383017 | + | 0.261137i | 0.739488 | − | 0.673170i | \(-0.235068\pi\) |
−0.356471 | + | 0.934306i | \(0.616020\pi\) | |||||||
\(402\) | −1.87532e7 | − | 2.82659e6i | −0.288667 | − | 0.0435095i | ||||
\(403\) | −1.14109e6 | − | 4.99946e6i | −0.0174344 | − | 0.0763850i | ||||
\(404\) | −5.28250e7 | + | 4.90144e7i | −0.801116 | + | 0.743327i | ||||
\(405\) | 1.39427e8 | − | 1.04486e7i | 2.09885 | − | 0.157287i | ||||
\(406\) | −8.02188e7 | + | 3.14836e7i | −1.19867 | + | 0.470442i | ||||
\(407\) | −142131. | − | 942977.i | −0.00210817 | − | 0.0139868i | ||||
\(408\) | 2.01478e8 | + | 9.70269e7i | 2.96653 | + | 1.42860i | ||||
\(409\) | 5.21315e6 | − | 1.08252e7i | 0.0761957 | − | 0.158222i | −0.859391 | − | 0.511319i | \(-0.829157\pi\) |
0.935587 | + | 0.353097i | \(0.114871\pi\) | |||||||
\(410\) | 3.71890e7 | − | 5.60534e6i | 0.539589 | − | 0.0813299i | ||||
\(411\) | 6.80868e6 | + | 1.73482e7i | 0.0980703 | + | 0.249879i | ||||
\(412\) | −1.46627e7 | − | 1.95660e8i | −0.209663 | − | 2.79776i | ||||
\(413\) | 3.64922e7 | + | 3.93292e7i | 0.518023 | + | 0.558296i | ||||
\(414\) | −9.55000e7 | + | 2.17973e7i | −1.34587 | + | 0.307185i | ||||
\(415\) | 1.44243e7 | − | 9.56989e7i | 0.201813 | − | 1.33894i | ||||
\(416\) | −3.01818e7 | + | 4.42686e7i | −0.419243 | + | 0.614916i | ||||
\(417\) | −4.62387e7 | − | 1.49902e8i | −0.637673 | − | 2.06728i | ||||
\(418\) | −744330. | + | 9.93239e6i | −0.0101915 | + | 0.135996i | ||||
\(419\) | −7.32989e7 | + | 5.84539e7i | −0.996450 | + | 0.794642i | −0.978720 | − | 0.205201i | \(-0.934215\pi\) |
−0.0177299 | + | 0.999843i | \(0.505644\pi\) | |||||||
\(420\) | 1.67155e8 | − | 5.41902e8i | 2.25616 | − | 7.31430i | ||||
\(421\) | 2.28810e7 | + | 8.98015e6i | 0.306641 | + | 0.120348i | 0.513672 | − | 0.857987i | \(-0.328285\pi\) |
−0.207031 | + | 0.978334i | \(0.566380\pi\) | |||||||
\(422\) | −1.64933e7 | + | 7.22617e7i | −0.219467 | + | 0.961547i | ||||
\(423\) | −1.21224e7 | − | 2.09966e7i | −0.160165 | − | 0.277414i | ||||
\(424\) | 5.28329e7 | + | 3.05031e7i | 0.693117 | + | 0.400171i | ||||
\(425\) | −1.08260e8 | − | 1.00451e8i | −1.41027 | − | 1.30854i | ||||
\(426\) | 2.62645e8 | + | 2.09453e8i | 3.39736 | + | 2.70930i | ||||
\(427\) | 4.55993e7 | − | 3.10891e7i | 0.585699 | − | 0.399323i | ||||
\(428\) | −2.52696e8 | + | 1.21692e8i | −3.22305 | + | 1.55214i | ||||
\(429\) | 1.48900e6i | 0.0188592i | ||||||||
\(430\) | −2.85378e8 | + | 4.82911e7i | −3.58934 | + | 0.607381i | ||||
\(431\) | −4.15028e7 | −0.518377 | −0.259189 | − | 0.965827i | \(-0.583455\pi\) | ||||
−0.259189 | + | 0.965827i | \(0.583455\pi\) | |||||||
\(432\) | 2.14003e7 | + | 4.44382e7i | 0.265441 | + | 0.551195i | ||||
\(433\) | 7.75456e7 | + | 1.13739e8i | 0.955199 | + | 1.40102i | 0.915728 | + | 0.401799i | \(0.131615\pi\) |
0.0394707 | + | 0.999221i | \(0.487433\pi\) | |||||||
\(434\) | −4.01797e7 | + | 5.03837e7i | −0.491516 | + | 0.616341i | ||||
\(435\) | 8.87589e7 | − | 9.56594e7i | 1.07831 | − | 1.16214i | ||||
\(436\) | 6.17246e7 | − | 1.06910e8i | 0.744730 | − | 1.28991i | ||||
\(437\) | 6.41931e7 | − | 3.70619e7i | 0.769208 | − | 0.444103i | ||||
\(438\) | −3.38501e8 | − | 7.72607e7i | −4.02845 | − | 0.919467i | ||||
\(439\) | −2.26176e7 | + | 5.76288e7i | −0.267334 | + | 0.681155i | 0.732666 | + | 0.680588i | \(0.238276\pi\) |
−1.00000 | 0.000566834i | \(0.999820\pi\) | ||||||||
\(440\) | −3.29065e7 | − | 1.01503e7i | −0.386300 | − | 0.119158i | ||||
\(441\) | 9.54223e6 | + | 1.19656e7i | 0.111259 | + | 0.139514i | ||||
\(442\) | −2.56981e7 | − | 1.92580e6i | −0.297600 | − | 0.0223021i | ||||
\(443\) | 7.81452e7 | − | 2.41046e7i | 0.898858 | − | 0.277261i | 0.189310 | − | 0.981917i | \(-0.439375\pi\) |
0.709549 | + | 0.704656i | \(0.248899\pi\) | |||||||
\(444\) | −5.72250e7 | − | 3.90153e7i | −0.653788 | − | 0.445745i | ||||
\(445\) | 1.06776e8 | + | 1.60940e7i | 1.21170 | + | 0.182635i | ||||
\(446\) | −864649. | − | 3.78827e6i | −0.00974620 | − | 0.0427009i | ||||
\(447\) | −1.48728e8 | + | 1.38000e8i | −1.66522 | + | 1.54510i | ||||
\(448\) | 3.23269e8 | − | 2.42257e7i | 3.59526 | − | 0.269427i | ||||
\(449\) | 2.56425e6 | − | 1.00639e6i | 0.0283283 | − | 0.0111180i | −0.351135 | − | 0.936325i | \(-0.614204\pi\) |
0.379463 | + | 0.925207i | \(0.376109\pi\) | |||||||
\(450\) | 5.90929e7 | + | 3.92056e8i | 0.648481 | + | 4.30239i | ||||
\(451\) | 814923. | + | 392446.i | 0.00888356 | + | 0.00427810i | ||||
\(452\) | 1.84210e8 | − | 3.82515e8i | 1.99479 | − | 4.14222i | ||||
\(453\) | −1.78552e8 | + | 2.69124e7i | −1.92075 | + | 0.289506i | ||||
\(454\) | −1.44012e7 | − | 3.66937e7i | −0.153898 | − | 0.392125i | ||||
\(455\) | 3.06702e6 | + | 4.09265e7i | 0.0325598 | + | 0.434481i | ||||
\(456\) | 3.08998e8 | + | 3.33021e8i | 3.25883 | + | 3.51218i | ||||
\(457\) | −1.26410e8 | + | 2.88524e7i | −1.32445 | + | 0.302296i | −0.825532 | − | 0.564355i | \(-0.809125\pi\) |
−0.498914 | + | 0.866651i | \(0.666268\pi\) | |||||||
\(458\) | −1.81593e7 | + | 1.20479e8i | −0.189018 | + | 1.25405i | ||||
\(459\) | −6.98762e6 | + | 1.02490e7i | −0.0722588 | + | 0.105984i | ||||
\(460\) | 1.20282e8 | + | 3.89946e8i | 1.23574 | + | 4.00618i | ||||
\(461\) | 1.02799e7 | − | 1.37176e8i | 0.104927 | − | 1.40015i | −0.657685 | − | 0.753293i | \(-0.728464\pi\) |
0.762612 | − | 0.646857i | \(-0.223917\pi\) | |||||||
\(462\) | 1.46297e7 | − | 1.16668e7i | 0.148358 | − | 0.118311i | ||||
\(463\) | 2.30226e7 | − | 7.46375e7i | 0.231959 | − | 0.751994i | −0.762511 | − | 0.646975i | \(-0.776034\pi\) |
0.994470 | − | 0.105019i | \(-0.0334902\pi\) | |||||||
\(464\) | 2.01044e8 | + | 7.89040e7i | 2.01251 | + | 0.789851i | ||||
\(465\) | 2.17148e7 | − | 9.51387e7i | 0.215972 | − | 0.946233i | ||||
\(466\) | −1.47635e8 | − | 2.55711e8i | −1.45892 | − | 2.52692i | ||||
\(467\) | −7.60341e7 | − | 4.38983e7i | −0.746548 | − | 0.431020i | 0.0778974 | − | 0.996961i | \(-0.475179\pi\) |
−0.824445 | + | 0.565942i | \(0.808513\pi\) | |||||||
\(468\) | 3.69650e7 | + | 3.42985e7i | 0.360623 | + | 0.334609i | ||||
\(469\) | −9.82891e6 | − | 7.83830e6i | −0.0952767 | − | 0.0759807i | ||||
\(470\) | −1.14495e8 | + | 7.80612e7i | −1.10279 | + | 0.751868i | ||||
\(471\) | 2.60789e7 | − | 1.25590e7i | 0.249590 | − | 0.120196i | ||||
\(472\) | − | 2.36615e8i | − | 2.25018i | ||||||
\(473\) | −6.32498e6 | − | 2.90665e6i | −0.0597690 | − | 0.0274669i | ||||
\(474\) | 5.35082e8 | 5.02442 | ||||||||
\(475\) | −1.30174e8 | − | 2.70310e8i | −1.21463 | − | 2.52221i | ||||
\(476\) | 1.32968e8 | + | 1.95028e8i | 1.23290 | + | 1.80833i | ||||
\(477\) | 1.45940e7 | − | 1.83003e7i | 0.134468 | − | 0.168617i | ||||
\(478\) | −2.75444e8 | + | 2.96858e8i | −2.52202 | + | 2.71810i | ||||
\(479\) | −1.24867e7 | + | 2.16277e7i | −0.113617 | + | 0.196790i | −0.917226 | − | 0.398367i | \(-0.869577\pi\) |
0.803609 | + | 0.595157i | \(0.202910\pi\) | |||||||
\(480\) | −8.82989e8 | + | 5.09794e8i | −7.98420 | + | 4.60968i | ||||
\(481\) | 4.88671e6 | + | 1.11536e6i | 0.0439118 | + | 0.0100226i | ||||
\(482\) | 8.62764e7 | − | 2.19829e8i | 0.770461 | − | 1.96310i | ||||
\(483\) | −1.33068e8 | − | 4.10461e7i | −1.18095 | − | 0.364276i | ||||
\(484\) | 1.89213e8 | + | 2.37265e8i | 1.66884 | + | 2.09266i | ||||
\(485\) | 1.53899e8 | + | 1.15332e7i | 1.34900 | + | 0.101093i | ||||
\(486\) | 2.83757e8 | − | 8.75273e7i | 2.47194 | − | 0.762491i | ||||
\(487\) | −1.35204e8 | − | 9.21808e7i | −1.17059 | − | 0.798093i | −0.187687 | − | 0.982229i | \(-0.560099\pi\) |
−0.982901 | + | 0.184135i | \(0.941051\pi\) | |||||||
\(488\) | −2.40678e8 | − | 3.62764e7i | −2.07099 | − | 0.312151i | ||||
\(489\) | −5.70528e7 | − | 2.49965e8i | −0.487922 | − | 2.13773i | ||||
\(490\) | 6.41233e7 | − | 5.94977e7i | 0.545039 | − | 0.505722i | ||||
\(491\) | −2.78754e6 | + | 208898.i | −0.0235493 | + | 0.00176477i | −0.0864995 | − | 0.996252i | \(-0.527568\pi\) |
0.0629503 | + | 0.998017i | \(0.479949\pi\) | |||||||
\(492\) | 6.11503e7 | − | 2.39997e7i | 0.513456 | − | 0.201517i | ||||
\(493\) | 8.09538e6 | + | 5.37093e7i | 0.0675611 | + | 0.448238i | ||||
\(494\) | −4.71676e7 | − | 2.27147e7i | −0.391258 | − | 0.188420i | ||||
\(495\) | −5.73275e6 | + | 1.19042e7i | −0.0472658 | + | 0.0981485i | ||||
\(496\) | 1.59703e8 | − | 2.40714e7i | 1.30879 | − | 0.197268i | ||||
\(497\) | 8.13569e7 | + | 2.07294e8i | 0.662713 | + | 1.68856i | ||||
\(498\) | −1.73319e7 | − | 2.31279e8i | −0.140333 | − | 1.87261i | ||||
\(499\) | −5.35692e6 | − | 5.77339e6i | −0.0431135 | − | 0.0464653i | 0.711127 | − | 0.703064i | \(-0.248185\pi\) |
−0.754240 | + | 0.656598i | \(0.771995\pi\) | |||||||
\(500\) | 9.89311e8 | − | 2.25804e8i | 7.91449 | − | 1.80643i | ||||
\(501\) | −1.91272e7 | + | 1.26901e8i | −0.152103 | + | 1.00914i | ||||
\(502\) | 1.18571e8 | − | 1.73912e8i | 0.937278 | − | 1.37473i | ||||
\(503\) | 3.75339e7 | + | 1.21682e8i | 0.294931 | + | 0.956142i | 0.974851 | + | 0.222856i | \(0.0715381\pi\) |
−0.679920 | + | 0.733286i | \(0.737986\pi\) | |||||||
\(504\) | 2.97402e7 | − | 3.96856e8i | 0.232302 | − | 3.09985i | ||||
\(505\) | 7.75917e7 | − | 6.18773e7i | 0.602478 | − | 0.480460i | ||||
\(506\) | −3.96887e6 | + | 1.28668e7i | −0.0306349 | + | 0.0993158i | ||||
\(507\) | 1.58774e8 | + | 6.23142e7i | 1.21830 | + | 0.478149i | ||||
\(508\) | 1.85473e7 | − | 8.12609e7i | 0.141478 | − | 0.619855i | ||||
\(509\) | 2.53983e7 | + | 4.39912e7i | 0.192598 | + | 0.333589i | 0.946110 | − | 0.323844i | \(-0.104975\pi\) |
−0.753513 | + | 0.657433i | \(0.771642\pi\) | |||||||
\(510\) | −4.24699e8 | − | 2.45200e8i | −3.20163 | − | 1.84846i | ||||
\(511\) | −1.68718e8 | − | 1.56547e8i | −1.26444 | − | 1.17323i | ||||
\(512\) | −1.15456e8 | − | 9.20731e7i | −0.860214 | − | 0.685998i | ||||
\(513\) | −2.08208e7 | + | 1.41954e7i | −0.154222 | + | 0.105146i | ||||
\(514\) | −1.27530e8 | + | 6.14154e7i | −0.939128 | + | 0.452260i | ||||
\(515\) | 2.70219e8i | 1.97831i | ||||||||
\(516\) | −4.67198e8 | + | 1.93154e8i | −3.40057 | + | 1.40590i | ||||
\(517\) | −3.33269e6 | −0.0241170 | ||||||||
\(518\) | −2.73303e7 | − | 5.67519e7i | −0.196632 | − | 0.408311i | ||||
\(519\) | −9.78770e7 | − | 1.43559e8i | −0.700130 | − | 1.02690i | ||||
\(520\) | 1.12853e8 | − | 1.41513e8i | 0.802606 | − | 1.00644i | ||||
\(521\) | 1.64115e7 | − | 1.76873e7i | 0.116047 | − | 0.125069i | −0.672356 | − | 0.740228i | \(-0.734718\pi\) |
0.788403 | + | 0.615159i | \(0.210908\pi\) | |||||||
\(522\) | 7.29103e7 | − | 1.26284e8i | 0.512598 | − | 0.887847i | ||||
\(523\) | −6.22285e7 | + | 3.59276e7i | −0.434995 | + | 0.251144i | −0.701472 | − | 0.712697i | \(-0.747474\pi\) |
0.266477 | + | 0.963841i | \(0.414140\pi\) | |||||||
\(524\) | −2.25530e8 | − | 5.14758e7i | −1.56751 | − | 0.357774i | ||||
\(525\) | −2.05923e8 | + | 5.24682e8i | −1.42307 | + | 3.62592i | ||||
\(526\) | −1.86866e7 | − | 5.76406e6i | −0.128403 | − | 0.0396069i | ||||
\(527\) | 2.53250e7 | + | 3.17565e7i | 0.173028 | + | 0.216971i | ||||
\(528\) | −4.67651e7 | − | 3.50456e6i | −0.317702 | − | 0.0238085i | ||||
\(529\) | −4.57049e7 | + | 1.40981e7i | −0.308742 | + | 0.0952344i | ||||
\(530\) | −1.10538e8 | − | 7.53634e7i | −0.742477 | − | 0.506212i | ||||
\(531\) | −8.97709e7 | − | 1.35308e7i | −0.599587 | − | 0.0903731i | ||||
\(532\) | 1.06704e8 | + | 4.67501e8i | 0.708673 | + | 3.10490i | ||||
\(533\) | −3.48503e6 | + | 3.23363e6i | −0.0230157 | + | 0.0213555i | ||||
\(534\) | 2.58050e8 | − | 1.93382e7i | 1.69465 | − | 0.126996i | ||||
\(535\) | 3.59565e8 | − | 1.41119e8i | 2.34810 | − | 0.921560i | ||||
\(536\) | 8.26350e6 | + | 5.48247e7i | 0.0536623 | + | 0.356026i | ||||
\(537\) | 1.07724e8 | + | 5.18773e7i | 0.695650 | + | 0.335008i | ||||
\(538\) | 1.32624e8 | − | 2.75397e8i | 0.851678 | − | 1.76853i | ||||
\(539\) | 2.08026e6 | − | 313549.i | 0.0132847 | − | 0.00200234i | ||||
\(540\) | −5.06842e7 | − | 1.29141e8i | −0.321878 | − | 0.820132i | ||||
\(541\) | 1.07580e7 | + | 1.43556e8i | 0.0679423 | + | 0.906627i | 0.922184 | + | 0.386751i | \(0.126403\pi\) |
−0.854242 | + | 0.519876i | \(0.825978\pi\) | |||||||
\(542\) | 1.89761e7 | + | 2.04514e7i | 0.119182 | + | 0.128447i | ||||
\(543\) | 9.16015e7 | − | 2.09074e7i | 0.572141 | − | 0.130587i | ||||
\(544\) | 6.32512e7 | − | 4.19644e8i | 0.392891 | − | 2.60666i | ||||
\(545\) | −9.57726e7 | + | 1.40473e8i | −0.591632 | + | 0.867765i | ||||
\(546\) | 2.89900e7 | + | 9.39834e7i | 0.178103 | + | 0.577395i | ||||
\(547\) | −1.77246e7 | + | 2.36518e8i | −0.108296 | + | 1.44511i | 0.633112 | + | 0.774060i | \(0.281777\pi\) |
−0.741408 | + | 0.671054i | \(0.765842\pi\) | |||||||
\(548\) | 6.78286e7 | − | 5.40915e7i | 0.412165 | − | 0.328691i | ||||
\(549\) | −2.75263e7 | + | 8.92380e7i | −0.166353 | + | 0.539303i | ||||
\(550\) | 5.07331e7 | + | 1.99113e7i | 0.304932 | + | 0.119677i | ||||
\(551\) | −2.45537e7 | + | 1.07577e8i | −0.146778 | + | 0.643078i | ||||
\(552\) | 3.07074e8 | + | 5.31867e8i | 1.82568 | + | 3.16218i | ||||
\(553\) | 3.07178e8 | + | 1.77349e8i | 1.81641 | + | 1.04871i | ||||
\(554\) | 2.75018e7 | + | 2.55179e7i | 0.161745 | + | 0.150078i | ||||
\(555\) | 7.45746e7 | + | 5.94713e7i | 0.436226 | + | 0.347879i | ||||
\(556\) | −6.03373e8 | + | 4.11372e8i | −3.51044 | + | 2.39338i | ||||
\(557\) | −1.06516e8 | + | 5.12953e7i | −0.616379 | + | 0.296833i | −0.715900 | − | 0.698203i | \(-0.753983\pi\) |
0.0995205 | + | 0.995036i | \(0.468269\pi\) | |||||||
\(558\) | − | 1.09046e8i | − | 0.627636i | ||||||
\(559\) | 2.63673e7 | − | 2.53651e7i | 0.150949 | − | 0.145212i | ||||
\(560\) | −1.29259e9 | −7.36035 | ||||||||
\(561\) | −5.11727e6 | − | 1.06261e7i | −0.0289834 | − | 0.0601847i | ||||
\(562\) | −1.37541e8 | − | 2.01735e8i | −0.774858 | − | 1.13651i | ||||
\(563\) | 1.38373e8 | − | 1.73514e8i | 0.775399 | − | 0.972320i | −0.224599 | − | 0.974451i | \(-0.572107\pi\) |
0.999998 | + | 0.00213155i | \(0.000678494\pi\) | |||||||
\(564\) | −1.64632e8 | + | 1.77431e8i | −0.917650 | + | 0.988991i | ||||
\(565\) | −2.92352e8 | + | 5.06369e8i | −1.62092 | + | 2.80751i | ||||
\(566\) | 2.14315e8 | − | 1.23735e8i | 1.18196 | − | 0.682405i | ||||
\(567\) | 2.16542e8 | + | 4.94242e7i | 1.18793 | + | 0.271138i | ||||
\(568\) | 3.58803e8 | − | 9.14216e8i | 1.95799 | − | 4.98889i | ||||
\(569\) | −2.31872e8 | − | 7.15229e7i | −1.25867 | − | 0.388247i | −0.407531 | − | 0.913192i | \(-0.633610\pi\) |
−0.851137 | + | 0.524944i | \(0.824086\pi\) | |||||||
\(570\) | −6.21152e8 | − | 7.78900e8i | −3.35408 | − | 4.20588i | ||||
\(571\) | 1.22290e8 | + | 9.16435e6i | 0.656873 | + | 0.0492258i | 0.398997 | − | 0.916952i | \(-0.369358\pi\) |
0.257876 | + | 0.966178i | \(0.416977\pi\) | |||||||
\(572\) | 6.62362e6 | − | 2.04312e6i | 0.0353922 | − | 0.0109170i | ||||
\(573\) | 1.29146e8 | + | 8.80505e7i | 0.686465 | + | 0.468024i | ||||
\(574\) | 5.90772e7 | + | 8.90446e6i | 0.312381 | + | 0.0470838i | ||||
\(575\) | −9.02525e7 | − | 3.95422e8i | −0.474740 | − | 2.07997i | ||||
\(576\) | −4.02113e8 | + | 3.73107e8i | −2.10417 | + | 1.95238i | ||||
\(577\) | −9.10806e7 | + | 6.82555e6i | −0.474131 | + | 0.0355312i | −0.309653 | − | 0.950850i | \(-0.600213\pi\) |
−0.164478 | + | 0.986381i | \(0.552594\pi\) | |||||||
\(578\) | −1.55200e8 | + | 6.09117e7i | −0.803729 | + | 0.315440i | ||||
\(579\) | −6.21728e7 | − | 4.12489e8i | −0.320306 | − | 2.12509i | ||||
\(580\) | −5.47316e8 | − | 2.63573e8i | −2.80514 | − | 1.35088i | ||||
\(581\) | 6.67059e7 | − | 1.38516e8i | 0.340123 | − | 0.706272i | ||||
\(582\) | 3.65714e8 | − | 5.51225e7i | 1.85512 | − | 0.279615i | ||||
\(583\) | −1.17549e6 | − | 2.99509e6i | −0.00593216 | − | 0.0151149i | ||||
\(584\) | 7.58550e7 | + | 1.01222e9i | 0.380843 | + | 5.08200i | ||||
\(585\) | −4.72360e7 | − | 5.09083e7i | −0.235942 | − | 0.254285i | ||||
\(586\) | 2.88910e8 | − | 6.59419e7i | 1.43572 | − | 0.327694i | ||||
\(587\) | 1.80205e7 | − | 1.19558e8i | 0.0890950 | − | 0.591107i | −0.899081 | − | 0.437782i | \(-0.855764\pi\) |
0.988176 | − | 0.153324i | \(-0.0489979\pi\) | |||||||
\(588\) | 8.60699e7 | − | 1.26241e8i | 0.423369 | − | 0.620969i | ||||
\(589\) | 2.43220e7 | + | 7.88499e7i | 0.119029 | + | 0.385883i | ||||
\(590\) | −3.87766e7 | + | 5.17438e8i | −0.188805 | + | 2.51943i | ||||
\(591\) | −2.70948e8 | + | 2.16074e8i | −1.31257 | + | 1.04674i | ||||
\(592\) | −4.65315e7 | + | 1.50851e8i | −0.224275 | + | 0.727083i | ||||
\(593\) | −2.87616e8 | − | 1.12881e8i | −1.37927 | − | 0.541322i | −0.444243 | − | 0.895907i | \(-0.646527\pi\) |
−0.935024 | + | 0.354584i | \(0.884622\pi\) | |||||||
\(594\) | 1.01862e6 | − | 4.46285e6i | 0.00486017 | − | 0.0212938i | ||||
\(595\) | −1.62540e8 | − | 2.81527e8i | −0.771630 | − | 1.33650i | ||||
\(596\) | 8.17947e8 | + | 4.72242e8i | 3.86355 | + | 2.23062i | ||||
\(597\) | 2.64730e8 | + | 2.45634e8i | 1.24417 | + | 1.15442i | ||||
\(598\) | −5.53329e7 | − | 4.41265e7i | −0.258750 | − | 0.206346i | ||||
\(599\) | 9.18273e7 | − | 6.26068e7i | 0.427259 | − | 0.291300i | −0.330535 | − | 0.943794i | \(-0.607229\pi\) |
0.757794 | + | 0.652493i | \(0.226277\pi\) | |||||||
\(600\) | 2.23964e9 | − | 1.07855e9i | 10.3687 | − | 4.99329i | ||||
\(601\) | 8.08127e7i | 0.372268i | 0.982524 | + | 0.186134i | \(0.0595959\pi\) | ||||
−0.982524 | + | 0.186134i | \(0.940404\pi\) | |||||||
\(602\) | −4.55813e8 | − | 6.03193e7i | −2.08928 | − | 0.276482i | ||||
\(603\) | 2.12728e7 | 0.0970228 | ||||||||
\(604\) | 3.64713e8 | + | 7.57335e8i | 1.65516 | + | 3.43698i | ||||
\(605\) | −2.35436e8 | − | 3.45322e8i | −1.06318 | − | 1.55940i | ||||
\(606\) | 1.48285e8 | − | 1.85944e8i | 0.666316 | − | 0.835534i | ||||
\(607\) | 2.49099e6 | − | 2.68464e6i | 0.0111379 | − | 0.0120039i | −0.727458 | − | 0.686152i | \(-0.759299\pi\) |
0.738596 | + | 0.674148i | \(0.235489\pi\) | |||||||
\(608\) | 4.31070e8 | − | 7.46634e8i | 1.91795 | − | 3.32198i | ||||
\(609\) | 1.79527e8 | − | 1.03650e8i | 0.794836 | − | 0.458899i | ||||
\(610\) | 5.20378e8 | + | 1.18773e8i | 2.29261 | + | 0.523273i | ||||
\(611\) | 6.39966e6 | − | 1.63061e7i | 0.0280565 | − | 0.0714868i | ||||
\(612\) | −3.81671e8 | − | 1.17730e8i | −1.66508 | − | 0.513609i | ||||
\(613\) | 1.66986e8 | + | 2.09394e8i | 0.724935 | + | 0.909039i | 0.998606 | − | 0.0527841i | \(-0.0168095\pi\) |
−0.273671 | + | 0.961823i | \(0.588238\pi\) | |||||||
\(614\) | −5.20385e8 | − | 3.89975e7i | −2.24812 | − | 0.168473i | ||||
\(615\) | −8.64508e7 | + | 2.66666e7i | −0.371658 | + | 0.114641i | ||||
\(616\) | −4.51991e7 | − | 3.08162e7i | −0.193369 | − | 0.131837i | ||||
\(617\) | 3.80960e8 | + | 5.74205e7i | 1.62190 | + | 0.244462i | 0.896233 | − | 0.443583i | \(-0.146293\pi\) |
0.725668 | + | 0.688045i | \(0.241531\pi\) | |||||||
\(618\) | 1.44096e8 | + | 6.31327e8i | 0.610502 | + | 2.67478i | ||||
\(619\) | −1.11793e8 | + | 1.03729e8i | −0.471348 | + | 0.437347i | −0.879737 | − | 0.475461i | \(-0.842281\pi\) |
0.408389 | + | 0.912808i | \(0.366091\pi\) | |||||||
\(620\) | −4.53006e8 | + | 3.39481e7i | −1.90077 | + | 0.142443i | ||||
\(621\) | −3.17116e7 | + | 1.24459e7i | −0.132417 | + | 0.0519698i | ||||
\(622\) | 1.41404e7 | + | 9.38154e7i | 0.0587612 | + | 0.389855i | ||||
\(623\) | 1.54550e8 | + | 7.44273e7i | 0.639153 | + | 0.307800i | ||||
\(624\) | 1.06949e8 | − | 2.22081e8i | 0.440171 | − | 0.914025i | ||||
\(625\) | −7.55897e8 | + | 1.13933e8i | −3.09616 | + | 0.466670i | ||||
\(626\) | 2.67997e8 | + | 6.82846e8i | 1.09246 | + | 2.78356i | ||||
\(627\) | −1.79052e6 | − | 2.38928e7i | −0.00726400 | − | 0.0969313i | ||||
\(628\) | −9.16505e7 | − | 9.87757e7i | −0.370046 | − | 0.398815i | ||||
\(629\) | −3.87066e7 | + | 8.83453e6i | −0.155537 | + | 0.0355003i | ||||
\(630\) | −1.30074e8 | + | 8.62984e8i | −0.520198 | + | 3.45129i | ||||
\(631\) | −1.83947e7 | + | 2.69801e7i | −0.0732159 | + | 0.107388i | −0.861100 | − | 0.508435i | \(-0.830224\pi\) |
0.787884 | + | 0.615823i | \(0.211176\pi\) | |||||||
\(632\) | −4.61087e8 | − | 1.49481e9i | −1.82655 | − | 5.92154i | ||||
\(633\) | 1.33243e7 | − | 1.77800e8i | 0.0525331 | − | 0.701005i | ||||
\(634\) | 3.30186e8 | − | 2.63314e8i | 1.29566 | − | 1.03325i | ||||
\(635\) | −3.38351e7 | + | 1.09691e8i | −0.132144 | + | 0.428400i | ||||
\(636\) | −2.17526e8 | − | 8.53727e7i | −0.845551 | − | 0.331854i | ||||
\(637\) | −2.46054e6 | + | 1.07803e7i | −0.00951946 | + | 0.0417075i | ||||
\(638\) | −1.00222e7 | − | 1.73590e7i | −0.0385924 | − | 0.0668440i | ||||
\(639\) | −3.26332e8 | − | 1.88408e8i | −1.25071 | − | 0.722099i | ||||
\(640\) | 1.00404e9 | + | 9.31610e8i | 3.83009 | + | 3.55381i | ||||
\(641\) | −1.26500e8 | − | 1.00880e8i | −0.480303 | − | 0.383029i | 0.353196 | − | 0.935549i | \(-0.385095\pi\) |
−0.833499 | + | 0.552520i | \(0.813666\pi\) | |||||||
\(642\) | 7.64819e8 | − | 5.21445e8i | 2.89037 | − | 1.97062i | ||||
\(643\) | −7.00853e7 | + | 3.37513e7i | −0.263630 | + | 0.126957i | −0.561030 | − | 0.827796i | \(-0.689595\pi\) |
0.297400 | + | 0.954753i | \(0.403880\pi\) | |||||||
\(644\) | 6.48255e8i | 2.42710i | ||||||||
\(645\) | 6.61507e8 | − | 2.17184e8i | 2.46522 | − | 0.809375i | ||||
\(646\) | 4.14671e8 | 1.53817 | ||||||||
\(647\) | −1.73895e8 | − | 3.61098e8i | −0.642060 | − | 1.33325i | −0.927128 | − | 0.374744i | \(-0.877731\pi\) |
0.285069 | − | 0.958507i | \(-0.407984\pi\) | |||||||
\(648\) | −5.51806e8 | − | 8.09350e8i | −2.02797 | − | 2.97448i | ||||
\(649\) | −7.78069e6 | + | 9.75667e6i | −0.0284632 | + | 0.0356917i | ||||
\(650\) | −1.94843e8 | + | 2.09991e8i | −0.709487 | + | 0.764645i | ||||
\(651\) | 7.75104e7 | − | 1.34252e8i | 0.280942 | − | 0.486606i | ||||
\(652\) | −1.03365e9 | + | 5.96776e8i | −3.72932 | + | 2.15312i | ||||
\(653\) | −3.06213e8 | − | 6.98912e7i | −1.09973 | − | 0.251005i | −0.366111 | − | 0.930571i | \(-0.619311\pi\) |
−0.733614 | + | 0.679566i | \(0.762168\pi\) | |||||||
\(654\) | −1.48851e8 | + | 3.79266e8i | −0.532130 | + | 1.35585i | ||||
\(655\) | 3.04434e8 | + | 9.39055e7i | 1.08335 | + | 0.334170i | ||||
\(656\) | −9.33560e7 | − | 1.17065e8i | −0.330697 | − | 0.414681i | ||||
\(657\) | 3.88368e8 | + | 2.91042e7i | 1.36946 | + | 0.102626i | ||||
\(658\) | −2.10353e8 | + | 6.48854e7i | −0.738366 | + | 0.227756i | ||||
\(659\) | 7.51754e7 | + | 5.12537e7i | 0.262676 | + | 0.179089i | 0.687495 | − | 0.726189i | \(-0.258710\pi\) |
−0.424820 | + | 0.905278i | \(0.639663\pi\) | |||||||
\(660\) | 1.30433e8 | + | 1.96596e7i | 0.453686 | + | 0.0683822i | ||||
\(661\) | −2.26723e6 | − | 9.93339e6i | −0.00785040 | − | 0.0343948i | 0.970851 | − | 0.239684i | \(-0.0770437\pi\) |
−0.978701 | + | 0.205289i | \(0.934187\pi\) | |||||||
\(662\) | 6.42583e8 | − | 5.96229e8i | 2.21490 | − | 2.05513i | ||||
\(663\) | 6.18178e7 | − | 4.63260e6i | 0.212116 | − | 0.0158959i | ||||
\(664\) | −6.31166e8 | + | 2.47714e8i | −2.15595 | + | 0.846149i | ||||
\(665\) | −9.84276e7 | − | 6.53025e8i | −0.334697 | − | 2.22057i | ||||
\(666\) | 9.60315e7 | + | 4.62463e7i | 0.325080 | + | 0.156550i | ||||
\(667\) | −6.47225e7 | + | 1.34398e8i | −0.218111 | + | 0.452912i | ||||
\(668\) | 5.90743e8 | − | 8.90402e7i | 1.98184 | − | 0.298715i | ||||
\(669\) | 3.41492e6 | + | 8.70107e6i | 0.0114052 | + | 0.0290599i | ||||
\(670\) | −9.08619e6 | − | 1.21247e8i | −0.0302105 | − | 0.403130i | ||||
\(671\) | 8.73133e6 | + | 9.41013e6i | 0.0289010 | + | 0.0311479i | ||||
\(672\) | −1.57908e9 | + | 3.60414e8i | −5.20349 | + | 1.18766i | ||||
\(673\) | 2.90381e7 | − | 1.92655e8i | 0.0952627 | − | 0.632027i | −0.889343 | − | 0.457240i | \(-0.848838\pi\) |
0.984606 | − | 0.174787i | \(-0.0559238\pi\) | |||||||
\(674\) | −1.81766e8 | + | 2.66602e8i | −0.593653 | + | 0.870729i | ||||
\(675\) | 4.06428e7 | + | 1.31761e8i | 0.132152 | + | 0.428425i | ||||
\(676\) | 5.93362e7 | − | 7.91786e8i | 0.192079 | − | 2.56311i | ||||
\(677\) | −1.95671e8 | + | 1.56043e8i | −0.630610 | + | 0.502895i | −0.885843 | − | 0.463985i | \(-0.846419\pi\) |
0.255233 | + | 0.966880i | \(0.417848\pi\) | |||||||
\(678\) | −4.13014e8 | + | 1.33896e9i | −1.32518 | + | 4.29613i | ||||
\(679\) | 2.28218e8 | + | 8.95689e7i | 0.729021 | + | 0.286120i | ||||
\(680\) | −3.19024e8 | + | 1.39773e9i | −1.01460 | + | 4.44527i | ||||
\(681\) | 4.74116e7 | + | 8.21192e7i | 0.150122 | + | 0.260018i | ||||
\(682\) | −1.29812e7 | − | 7.49472e6i | −0.0409226 | − | 0.0236267i | ||||
\(683\) | 1.49459e8 | + | 1.38677e8i | 0.469093 | + | 0.435255i | 0.878964 | − | 0.476889i | \(-0.158236\pi\) |
−0.409870 | + | 0.912144i | \(0.634426\pi\) | |||||||
\(684\) | −6.34390e8 | − | 5.05909e8i | −1.98238 | − | 1.58090i | ||||
\(685\) | −9.87196e7 | + | 6.73059e7i | −0.307137 | + | 0.209402i | ||||
\(686\) | −4.87786e8 | + | 2.34905e8i | −1.51097 | + | 0.727646i | ||||
\(687\) | − | 2.93091e8i | − | 0.903924i | ||||||
\(688\) | 7.34583e8 | + | 8.87816e8i | 2.25567 | + | 2.72620i | ||||
\(689\) | 1.69116e7 | 0.0517043 | ||||||||
\(690\) | −5.84356e8 | − | 1.21343e9i | −1.77881 | − | 3.69375i | ||||
\(691\) | −2.24201e8 | − | 3.28843e8i | −0.679523 | − | 0.996677i | −0.998798 | − | 0.0490153i | \(-0.984392\pi\) |
0.319275 | − | 0.947662i | \(-0.396561\pi\) | |||||||
\(692\) | −5.04301e8 | + | 6.32374e8i | −1.52185 | + | 1.90834i | ||||
\(693\) | −1.42763e7 | + | 1.53861e7i | −0.0428958 | + | 0.0462307i | ||||
\(694\) | 1.79041e8 | − | 3.10108e8i | 0.535641 | − | 0.927758i | ||||
\(695\) | 8.70980e8 | − | 5.02861e8i | 2.59450 | − | 1.49794i | ||||
\(696\) | −8.91319e8 | − | 2.03438e8i | −2.64366 | − | 0.603398i | ||||
\(697\) | 1.37575e7 | − | 3.50535e7i | 0.0406294 | − | 0.103522i | ||||
\(698\) | −6.39967e8 | − | 1.97404e8i | −1.88188 | − | 0.580482i | ||||
\(699\) | 4.42855e8 | + | 5.55322e8i | 1.29667 | + | 1.62597i | ||||
\(700\) | 2.61652e9 | + | 1.96081e8i | 7.62835 | + | 0.571666i | ||||
\(701\) | 2.28811e8 | − | 7.05787e7i | 0.664235 | − | 0.204889i | 0.0557381 | − | 0.998445i | \(-0.482249\pi\) |
0.608497 | + | 0.793556i | \(0.291773\pi\) | |||||||
\(702\) | 1.98797e7 | + | 1.35538e7i | 0.0574644 | + | 0.0391785i | ||||
\(703\) | −7.97540e7 | − | 1.20210e7i | −0.229555 | − | 0.0345998i | ||||
\(704\) | 1.67788e7 | + | 7.35125e7i | 0.0480885 | + | 0.210690i | ||||
\(705\) | 2.44359e8 | − | 2.26732e8i | 0.697365 | − | 0.647060i | ||||
\(706\) | 2.50869e8 | − | 1.88000e7i | 0.712906 | − | 0.0534250i | ||||
\(707\) | 1.46757e8 | − | 5.75979e7i | 0.415279 | − | 0.162985i | ||||
\(708\) | 1.35082e8 | + | 8.96213e8i | 0.380627 | + | 2.52529i | ||||
\(709\) | −6.05786e8 | − | 2.91731e8i | −1.69973 | − | 0.818547i | −0.993915 | − | 0.110153i | \(-0.964866\pi\) |
−0.705817 | − | 0.708395i | \(-0.749420\pi\) | |||||||
\(710\) | −9.34465e8 | + | 1.94044e9i | −2.61089 | + | 5.42156i | ||||
\(711\) | −5.93492e8 | + | 8.94545e7i | −1.65122 | + | 0.248882i | ||||
\(712\) | −2.76388e8 | − | 7.04226e8i | −0.765737 | − | 1.95107i | ||||
\(713\) | 8.33621e6 | + | 1.11239e8i | 0.0229985 | + | 0.306894i | ||||
\(714\) | −5.29877e8 | − | 5.71072e8i | −1.45573 | − | 1.56890i | ||||
\(715\) | −9.30683e6 | + | 2.12422e6i | −0.0254615 | + | 0.00581141i | ||||
\(716\) | 8.29562e7 | − | 5.50378e8i | 0.226001 | − | 1.49942i | ||||
\(717\) | 5.48759e8 | − | 8.04882e8i | 1.48876 | − | 2.18361i | ||||
\(718\) | −1.45766e8 | − | 4.72562e8i | −0.393806 | − | 1.27669i | ||||
\(719\) | 1.19238e7 | − | 1.59112e8i | 0.0320795 | − | 0.428071i | −0.957923 | − | 0.287024i | \(-0.907334\pi\) |
0.990003 | − | 0.141047i | \(-0.0450469\pi\) | |||||||
\(720\) | 1.71005e9 | − | 1.36372e9i | 4.58154 | − | 3.65365i | ||||
\(721\) | −1.26527e8 | + | 4.10190e8i | −0.337580 | + | 1.09441i | ||||
\(722\) | 1.11333e8 | + | 4.36949e7i | 0.295809 | + | 0.116097i | ||||
\(723\) | −1.26409e8 | + | 5.53833e8i | −0.334474 | + | 1.46543i | ||||
\(724\) | −2.18693e8 | − | 3.78788e8i | −0.576261 | − | 0.998114i | ||||
\(725\) | 5.22886e8 | + | 3.01888e8i | 1.37212 | + | 0.792196i | ||||
\(726\) | −7.34209e8 | − | 6.81246e8i | −1.91871 | − | 1.78030i | ||||
\(727\) | 3.21587e8 | + | 2.56457e8i | 0.836942 | + | 0.667439i | 0.945131 | − | 0.326692i | \(-0.105934\pi\) |
−0.108189 | + | 0.994130i | \(0.534505\pi\) | |||||||
\(728\) | 2.37571e8 | − | 1.61973e8i | 0.615744 | − | 0.419807i | ||||
\(729\) | −2.56010e8 | + | 1.23288e8i | −0.660806 | + | 0.318227i | ||||
\(730\) | − | 2.22598e9i | − | 5.72205i | ||||||
\(731\) | −1.00995e8 | + | 2.71632e8i | −0.258551 | + | 0.695391i | ||||
\(732\) | 9.32313e8 | 2.37700 | ||||||||
\(733\) | 1.80327e8 | + | 3.74453e8i | 0.457877 | + | 0.950791i | 0.994278 | + | 0.106828i | \(0.0340694\pi\) |
−0.536401 | + | 0.843964i | \(0.680216\pi\) | |||||||
\(734\) | 2.17936e8 | + | 3.19653e8i | 0.551112 | + | 0.808333i | ||||
\(735\) | −1.31197e8 | + | 1.64516e8i | −0.330416 | + | 0.414329i | ||||
\(736\) | 7.92743e8 | − | 8.54374e8i | 1.98838 | − | 2.14296i | ||||
\(737\) | 1.46208e6 | − | 2.53239e6i | 0.00365231 | − | 0.00632599i | ||||
\(738\) | −8.75512e7 | + | 5.05477e7i | −0.217818 | + | 0.125757i | ||||
\(739\) | −6.49052e8 | − | 1.48142e8i | −1.60822 | − | 0.367066i | −0.678290 | − | 0.734795i | \(-0.737279\pi\) |
−0.929933 | + | 0.367728i | \(0.880136\pi\) | |||||||
\(740\) | 1.62223e8 | − | 4.13337e8i | 0.400328 | − | 1.02002i | ||||
\(741\) | 1.20340e8 | + | 3.71201e7i | 0.295772 | + | 0.0912335i | ||||
\(742\) | −1.32507e8 | − | 1.66159e8i | −0.324361 | − | 0.406736i | ||||
\(743\) | −2.14070e7 | − | 1.60424e6i | −0.0521904 | − | 0.00391113i | 0.0486093 | − | 0.998818i | \(-0.484521\pi\) |
−0.100800 | + | 0.994907i | \(0.532140\pi\) | |||||||
\(744\) | −6.53305e8 | + | 2.01518e8i | −1.58634 | + | 0.489322i | ||||
\(745\) | −1.07473e9 | − | 7.32736e8i | −2.59914 | − | 1.77206i | ||||
\(746\) | 1.39262e9 | + | 2.09904e8i | 3.35442 | + | 0.505598i | ||||
\(747\) | 5.78888e7 | + | 2.53628e8i | 0.138878 | + | 0.608464i | ||||
\(748\) | −4.02471e7 | + | 3.73439e7i | −0.0961679 | + | 0.0892308i | ||||
\(749\) | 6.11894e8 | − | 4.58551e7i | 1.45623 | − | 0.109130i | ||||
\(750\) | −3.11756e9 | + | 1.22355e9i | −7.38978 | + | 2.90027i | ||||
\(751\) | −3.64507e7 | − | 2.41835e8i | −0.0860570 | − | 0.570951i | −0.989755 | − | 0.142779i | \(-0.954396\pi\) |
0.903698 | − | 0.428171i | \(-0.140842\pi\) | |||||||
\(752\) | 4.97061e8 | + | 2.39372e8i | 1.16884 | + | 0.562886i | ||||
\(753\) | −2.19690e8 | + | 4.56191e8i | −0.514548 | + | 1.06847i | ||||
\(754\) | 1.04179e8 | − | 1.57025e7i | 0.243034 | − | 0.0366314i | ||||
\(755\) | −4.22935e8 | − | 1.07762e9i | −0.982728 | − | 2.50395i | ||||
\(756\) | −1.64693e7 | − | 2.19768e8i | −0.0381162 | − | 0.508626i | ||||
\(757\) | 1.54818e8 | + | 1.66854e8i | 0.356890 | + | 0.384636i | 0.885819 | − | 0.464030i | \(-0.153597\pi\) |
−0.528930 | + | 0.848666i | \(0.677407\pi\) | |||||||
\(758\) | 6.36788e8 | − | 1.45343e8i | 1.46213 | − | 0.333722i | ||||
\(759\) | 4.82757e6 | − | 3.20288e7i | 0.0110409 | − | 0.0732514i | ||||
\(760\) | −1.64068e9 | + | 2.40644e9i | −3.73753 | + | 5.48194i | ||||
\(761\) | 1.55996e8 | + | 5.05727e8i | 0.353965 | + | 1.14753i | 0.941126 | + | 0.338056i | \(0.109769\pi\) |
−0.587161 | + | 0.809470i | \(0.699755\pi\) | |||||||
\(762\) | −2.05574e7 | + | 2.74320e8i | −0.0464626 | + | 0.620001i | ||||
\(763\) | −2.11157e8 | + | 1.68392e8i | −0.475370 | + | 0.379095i | ||||
\(764\) | 2.14473e8 | − | 6.95306e8i | 0.480943 | − | 1.55918i | ||||
\(765\) | 5.12052e8 | + | 2.00965e8i | 1.14375 | + | 0.448887i | ||||
\(766\) | 2.90181e8 | − | 1.27137e9i | 0.645629 | − | 2.82869i | ||||
\(767\) | −3.27962e7 | − | 5.68046e7i | −0.0726837 | − | 0.125892i | ||||
\(768\) | 1.07836e9 | + | 6.22589e8i | 2.38056 | + | 1.37442i | ||||
\(769\) | 2.11546e8 | + | 1.96286e8i | 0.465185 | + | 0.431629i | 0.877619 | − | 0.479359i | \(-0.159131\pi\) |
−0.412434 | + | 0.910988i | \(0.635321\pi\) | |||||||
\(770\) | 9.37927e7 | + | 7.47972e7i | 0.205446 | + | 0.163837i | ||||
\(771\) | 2.81334e8 | − | 1.91811e8i | 0.613846 | − | 0.418513i | ||||
\(772\) | −1.74959e9 | + | 8.42557e8i | −3.80263 | + | 1.83125i | ||||
\(773\) | 2.86723e8i | 0.620760i | 0.950613 | + | 0.310380i | \(0.100456\pi\) | ||||
−0.950613 | + | 0.310380i | \(0.899544\pi\) | |||||||
\(774\) | 6.66660e8 | − | 4.01094e8i | 1.43774 | − | 0.865013i | ||||
\(775\) | 4.51511e8 | 0.969981 | ||||||||
\(776\) | −4.69131e8 | − | 9.74161e8i | −1.00394 | − | 2.08471i | ||||
\(777\) | 8.53569e7 | + | 1.25196e8i | 0.181960 | + | 0.266886i | ||||
\(778\) | 2.19302e7 | − | 2.74996e7i | 0.0465698 | − | 0.0583967i | ||||
\(779\) | 5.20328e7 | − | 5.60780e7i | 0.110069 | − | 0.118626i | ||||
\(780\) | −3.46657e8 | + | 6.00427e8i | −0.730493 | + | 1.26525i | ||||
\(781\) | −4.48575e7 | + | 2.58985e7i | −0.0941633 | + | 0.0543652i | ||||
\(782\) | 5.46527e8 | + | 1.24741e8i | 1.14286 | + | 0.260849i | ||||
\(783\) | 1.85274e7 | − | 4.72070e7i | 0.0385948 | − | 0.0983380i | ||||
\(784\) | −3.32786e8 | − | 1.02651e8i | −0.690585 | − | 0.213017i | ||||
\(785\) | 1.15702e8 | + | 1.45086e8i | 0.239185 | + | 0.299928i | ||||
\(786\) | 7.61343e8 | + | 5.70547e7i | 1.56788 | + | 0.117496i | ||||
\(787\) | 6.00705e8 | − | 1.85293e8i | 1.23236 | − | 0.380132i | 0.390890 | − | 0.920438i | \(-0.372167\pi\) |
0.841469 | + | 0.540305i | \(0.181691\pi\) | |||||||
\(788\) | 1.33295e9 | + | 9.08788e8i | 2.72417 | + | 1.85731i | ||||
\(789\) | 4.65160e7 | + | 7.01115e6i | 0.0947046 | + | 0.0142744i | ||||
\(790\) | 7.63351e8 | + | 3.34446e9i | 1.54826 | + | 6.78336i | ||||
\(791\) | −6.80890e8 | + | 6.31773e8i | −1.37577 | + | 1.27653i | ||||
\(792\) | 9.23084e7 | − | 6.91756e6i | 0.185809 | − | 0.0139244i | ||||
\(793\) | −6.28082e7 | + | 2.46504e7i | −0.125950 | + | 0.0494316i | ||||
\(794\) | 2.62119e8 | + | 1.73905e9i | 0.523645 | + | 3.47416i | ||||
\(795\) | 2.89953e8 | + | 1.39634e8i | 0.577067 | + | 0.277901i | ||||
\(796\) | 7.29419e8 | − | 1.51465e9i | 1.44623 | − | 3.00313i | ||||
\(797\) | −5.02624e8 | + | 7.57584e7i | −0.992816 | + | 0.149643i | −0.625308 | − | 0.780378i | \(-0.715027\pi\) |
−0.367507 | + | 0.930021i | \(0.619789\pi\) | |||||||
\(798\) | −5.78193e8 | − | 1.47321e9i | −1.13779 | − | 2.89905i | ||||
\(799\) | 1.03687e7 | + | 1.38360e8i | 0.0203275 | + | 0.271251i | ||||
\(800\) | −3.20869e9 | − | 3.45814e9i | −6.26697 | − | 6.75419i | ||||
\(801\) | −2.82986e8 | + | 6.45897e7i | −0.550639 | + | 0.125680i | ||||
\(802\) | −6.84470e7 | + | 4.54116e8i | −0.132688 | + | 0.880327i | ||||
\(803\) | 3.01572e7 | − | 4.42324e7i | 0.0582430 | − | 0.0854268i | ||||
\(804\) | −6.25983e7 | − | 2.02939e8i | −0.120447 | − | 0.390478i | ||||
\(805\) | 6.67174e7 | − | 8.90282e8i | 0.127894 | − | 1.70663i | ||||
\(806\) | 6.15975e7 | − | 4.91224e7i | 0.117641 | − | 0.0938154i | ||||
\(807\) | −2.16732e8 | + | 7.02629e8i | −0.412385 | + | 1.33692i | ||||
\(808\) | −6.47233e8 | − | 2.54020e8i | −1.22695 | − | 0.481542i | ||||
\(809\) | 1.70103e8 | − | 7.45272e8i | 0.321268 | − | 1.40757i | −0.514031 | − | 0.857772i | \(-0.671848\pi\) |
0.835299 | − | 0.549796i | \(-0.185294\pi\) | |||||||
\(810\) | 1.07407e9 | + | 1.86034e9i | 2.02105 | + | 3.50056i | ||||
\(811\) | −9.85790e7 | − | 5.69146e7i | −0.184808 | − | 0.106699i | 0.404741 | − | 0.914431i | \(-0.367362\pi\) |
−0.589550 | + | 0.807732i | \(0.700695\pi\) | |||||||
\(812\) | −7.07406e8 | − | 6.56377e8i | −1.32130 | − | 1.22598i | ||||
\(813\) | −5.24703e7 | − | 4.18437e7i | −0.0976432 | − | 0.0778679i | ||||
\(814\) | 1.21055e7 | − | 8.25342e6i | 0.0224446 | − | 0.0153024i | ||||
\(815\) | 1.48098e9 | − | 7.13202e8i | 2.73575 | − | 1.31747i | ||||
\(816\) | 1.95241e9i | 3.59336i | ||||||||
\(817\) | −3.92592e8 | + | 4.38719e8i | −0.719905 | + | 0.804490i | ||||
\(818\) | 1.84598e8 | 0.337261 | ||||||||
\(819\) | −4.78666e7 | − | 9.93961e7i | −0.0871327 | − | 0.180933i | ||||
\(820\) | 2.37244e8 | + | 3.47974e8i | 0.430283 | + | 0.631110i | ||||
\(821\) | −5.56691e8 | + | 6.98069e8i | −1.00597 | + | 1.26145i | −0.0409800 | + | 0.999160i | \(0.513048\pi\) |
−0.964990 | + | 0.262287i | \(0.915523\pi\) | |||||||
\(822\) | −1.94753e8 | + | 2.09893e8i | −0.350645 | + | 0.377906i | ||||
\(823\) | 7.34241e6 | − | 1.27174e7i | 0.0131716 | − | 0.0228139i | −0.859364 | − | 0.511364i | \(-0.829141\pi\) |
0.872536 | + | 0.488550i | \(0.162474\pi\) | |||||||
\(824\) | 1.63951e9 | − | 9.46571e8i | 2.93044 | − | 1.69189i | ||||
\(825\) | −1.27816e8 | − | 2.91732e7i | −0.227627 | − | 0.0519545i | ||||
\(826\) | −3.01147e8 | + | 7.67310e8i | −0.534365 | + | 1.36154i | ||||
\(827\) | 3.59636e7 | + | 1.10933e7i | 0.0635838 | + | 0.0196130i | 0.326384 | − | 0.945237i | \(-0.394170\pi\) |
−0.262800 | + | 0.964850i | \(0.584646\pi\) | |||||||
\(828\) | −6.83925e8 | − | 8.57615e8i | −1.20481 | − | 1.51078i | ||||
\(829\) | −7.76328e8 | − | 5.81777e7i | −1.36264 | − | 0.102116i | −0.626753 | − | 0.779218i | \(-0.715616\pi\) |
−0.735889 | + | 0.677102i | \(0.763235\pi\) | |||||||
\(830\) | 1.42085e9 | − | 4.38274e8i | 2.48493 | − | 0.766499i | ||||
\(831\) | −7.45667e7 | − | 5.08387e7i | −0.129940 | − | 0.0885914i | ||||
\(832\) | −3.91900e8 | − | 5.90694e7i | −0.680464 | − | 0.102563i | ||||
\(833\) | −1.94895e7 | − | 8.53889e7i | −0.0337182 | − | 0.147729i | ||||
\(834\) | 1.76677e9 | − | 1.63932e9i | 3.04565 | − | 2.82595i | ||||
\(835\) | −8.20462e8 | + | 6.14851e7i | −1.40929 | + | 0.105611i | ||||
\(836\) | −1.03827e8 | + | 4.07490e7i | −0.177701 | + | 0.0697425i | ||||
\(837\) | −5.65219e6 | − | 3.74998e7i | −0.00963919 | − | 0.0639518i | ||||
\(838\) | −1.29776e9 | − | 6.24967e8i | −2.20527 | − | 1.06200i | ||||
\(839\) | 2.16044e8 | − | 4.48621e8i | 0.365811 | − | 0.759615i | −0.634096 | − | 0.773254i | \(-0.718628\pi\) |
0.999907 | + | 0.0136399i | \(0.00434185\pi\) | |||||||
\(840\) | 5.41059e9 | − | 8.15515e8i | 9.12866 | − | 1.37592i | ||||
\(841\) | 1.36186e8 | + | 3.46996e8i | 0.228952 | + | 0.583360i | ||||
\(842\) | 2.82215e7 | + | 3.76590e8i | 0.0472763 | + | 0.630859i | ||||
\(843\) | 3.99492e8 | + | 4.30550e8i | 0.666846 | + | 0.718689i | ||||
\(844\) | −8.09201e8 | + | 1.84695e8i | −1.34595 | + | 0.307204i | ||||
\(845\) | −1.62979e8 | + | 1.08129e9i | −0.270123 | + | 1.79215i | ||||
\(846\) | 2.09833e8 | − | 3.07769e8i | 0.346548 | − | 0.508292i | ||||
\(847\) | −1.95698e8 | − | 6.34436e8i | −0.322059 | − | 1.04409i | ||||
\(848\) | −3.98035e7 | + | 5.31141e8i | −0.0652730 | + | 0.871008i | ||||
\(849\) | −4.65423e8 | + | 3.71162e8i | −0.760544 | + | 0.606514i | ||||
\(850\) | 6.68799e8 | − | 2.16819e9i | 1.08903 | − | 3.53054i | ||||
\(851\) | −1.01498e8 | − | 3.98350e7i | −0.164691 | − | 0.0646363i | ||||
\(852\) | −8.37097e8 | + | 3.66756e9i | −1.35350 | + | 5.93006i | ||||
\(853\) | −3.54292e8 | − | 6.13653e8i | −0.570841 | − | 0.988725i | −0.996480 | − | 0.0838319i | \(-0.973284\pi\) |
0.425639 | − | 0.904893i | \(-0.360049\pi\) | |||||||
\(854\) | 7.34316e8 | + | 4.23957e8i | 1.17899 | + | 0.680689i | ||||
\(855\) | 8.19173e8 | + | 7.60081e8i | 1.31062 | + | 1.21608i | ||||
\(856\) | −2.11577e9 | − | 1.68727e9i | −3.37323 | − | 2.69006i | ||||
\(857\) | 1.67741e8 | − | 1.14364e8i | 0.266500 | − | 0.181696i | −0.422696 | − | 0.906271i | \(-0.638916\pi\) |
0.689196 | + | 0.724575i | \(0.257964\pi\) | |||||||
\(858\) | −2.06113e7 | + | 9.92588e6i | −0.0326320 | + | 0.0157147i | ||||
\(859\) | 7.91606e8i | 1.24891i | 0.781063 | + | 0.624453i | \(0.214678\pi\) | ||||
−0.781063 | + | 0.624453i | \(0.785322\pi\) | |||||||
\(860\) | −1.87379e9 | − | 2.64461e9i | −2.94595 | − | 4.15782i | ||||
\(861\) | −1.43718e8 | −0.225165 | ||||||||
\(862\) | −2.76663e8 | − | 5.74496e8i | −0.431945 | − | 0.896944i | ||||
\(863\) | 1.52759e8 | + | 2.24057e8i | 0.237670 | + | 0.348598i | 0.926480 | − | 0.376344i | \(-0.122819\pi\) |
−0.688810 | + | 0.724942i | \(0.741866\pi\) | |||||||
\(864\) | −2.47045e8 | + | 3.09785e8i | −0.383032 | + | 0.480307i | ||||
\(865\) | 7.57666e8 | − | 8.16570e8i | 1.17066 | − | 1.26167i | ||||
\(866\) | −1.05748e9 | + | 1.83161e9i | −1.62824 | + | 2.82019i | ||||
\(867\) | 3.47333e8 | − | 2.00533e8i | 0.532953 | − | 0.307700i | ||||
\(868\) | −7.03555e8 | − | 1.60582e8i | −1.07582 | − | 0.245548i | ||||
\(869\) | −3.01416e7 | + | 7.67996e7i | −0.0459311 | + | 0.117031i | ||||
\(870\) | 1.91583e9 | + | 5.90954e8i | 2.90937 | + | 0.897421i | ||||
\(871\) | 9.58284e6 | + | 1.20165e7i | 0.0145024 | + | 0.0181854i | ||||
\(872\) | 1.18779e9 | + | 8.90122e7i | 1.79138 | + | 0.134246i | ||||
\(873\) | −3.96420e8 | + | 1.22279e8i | −0.595817 | + | 0.183785i | ||||
\(874\) | 9.40942e8 | + | 6.41523e8i | 1.40938 | + | 0.960900i | ||||
\(875\) | −2.19526e9 | − | 3.30882e8i | −3.27689 | − | 0.493911i | ||||
\(876\) | −8.65181e8 | − | 3.79060e9i | −1.28705 | − | 5.63892i | ||||
\(877\) | 4.82720e8 | − | 4.47899e8i | 0.715643 | − | 0.664020i | −0.235815 | − | 0.971798i | \(-0.575776\pi\) |
0.951458 | + | 0.307778i | \(0.0995854\pi\) | |||||||
\(878\) | −9.48489e8 | + | 7.10794e7i | −1.40136 | + | 0.105017i | ||||
\(879\) | −6.63581e8 | + | 2.60437e8i | −0.977074 | + | 0.383473i | ||||
\(880\) | −4.48105e7 | − | 2.97298e8i | −0.0657555 | − | 0.436259i | ||||
\(881\) | 8.21122e7 | + | 3.95431e7i | 0.120082 | + | 0.0578287i | 0.492960 | − | 0.870052i | \(-0.335915\pi\) |
−0.372878 | + | 0.927880i | \(0.621629\pi\) | |||||||
\(882\) | −1.02022e8 | + | 2.11851e8i | −0.148692 | + | 0.308762i | ||||
\(883\) | 9.06671e8 | − | 1.36659e8i | 1.31694 | − | 0.198498i | 0.547282 | − | 0.836948i | \(-0.315662\pi\) |
0.769663 | + | 0.638451i | \(0.220424\pi\) | |||||||
\(884\) | −1.05430e8 | − | 2.68631e8i | −0.152618 | − | 0.388865i | ||||
\(885\) | −9.32787e7 | − | 1.24472e9i | −0.134571 | − | 1.79573i | ||||
\(886\) | 8.54589e8 | + | 9.21028e8i | 1.22873 | + | 1.32426i | ||||
\(887\) | 3.94616e8 | − | 9.00685e7i | 0.565462 | − | 0.129063i | 0.0697729 | − | 0.997563i | \(-0.477773\pi\) |
0.495690 | + | 0.868500i | \(0.334915\pi\) | |||||||
\(888\) | 9.95990e7 | − | 6.60796e8i | 0.142238 | − | 0.943689i | ||||
\(889\) | −1.02723e8 | + | 1.50667e8i | −0.146205 | + | 0.214443i | ||||
\(890\) | 4.89006e8 | + | 1.58532e9i | 0.693656 | + | 2.24878i | ||||
\(891\) | −3.86076e6 | + | 5.15182e7i | −0.00545807 | + | 0.0728329i | ||||
\(892\) | 3.40197e7 | − | 2.71298e7i | 0.0479331 | − | 0.0382254i | ||||
\(893\) | −8.30820e7 | + | 2.69345e8i | −0.116668 | + | 0.378229i | ||||
\(894\) | −2.90168e9 | − | 1.13883e9i | −4.06104 | − | 1.59384i | ||||
\(895\) | −1.70572e8 | + | 7.47325e8i | −0.237924 | + | 1.04241i | ||||
\(896\) | 1.08790e9 | + | 1.88430e9i | 1.51240 | + | 2.61955i | ||||
\(897\) | 1.47440e8 | + | 8.51243e7i | 0.204285 | + | 0.117944i | ||||
\(898\) | 3.10244e7 | + | 2.87864e7i | 0.0428424 | + | 0.0397520i | ||||
\(899\) | −1.29830e8 | − | 1.03536e8i | −0.178688 | − | 0.142499i | ||||
\(900\) | −3.66842e9 | + | 2.50109e9i | −5.03213 | + | 3.43085i | ||||
\(901\) | −1.20688e8 | + | 5.81201e7i | −0.165002 | + | 0.0794607i | ||||
\(902\) | 1.38965e7i | 0.0189359i | ||||||||
\(903\) | 1.10586e9 | − | 1.99414e7i | 1.50188 | − | 0.0270827i | ||||
\(904\) | 4.09642e9 | 5.54497 | ||||||||
\(905\) | 2.61358e8 | + | 5.42716e8i | 0.352607 | + | 0.732195i | ||||
\(906\) | −1.56278e9 | − | 2.29217e9i | −2.10142 | − | 3.08222i | ||||
\(907\) | 6.47319e8 | − | 8.11712e8i | 0.867554 | − | 1.08788i | −0.127820 | − | 0.991797i | \(-0.540798\pi\) |
0.995374 | − | 0.0960804i | \(-0.0306306\pi\) | |||||||
\(908\) | 3.00240e8 | − | 3.23582e8i | 0.401062 | − | 0.432242i | ||||
\(909\) | −1.33386e8 | + | 2.31032e8i | −0.177590 | + | 0.307596i | ||||
\(910\) | −5.46073e8 | + | 3.15276e8i | −0.724647 | + | 0.418375i | ||||
\(911\) | 1.54384e8 | + | 3.52373e7i | 0.204197 | + | 0.0466065i | 0.323396 | − | 0.946264i | \(-0.395176\pi\) |
−0.119199 | + | 0.992870i | \(0.538033\pi\) | |||||||
\(912\) | −1.44906e9 | + | 3.69215e9i | −1.91031 | + | 4.86738i | ||||
\(913\) | 3.41714e7 | + | 1.05405e7i | 0.0449004 | + | 0.0138499i | ||||
\(914\) | −1.24205e9 | − | 1.55748e9i | −1.62667 | − | 2.03979i | ||||
\(915\) | −1.28039e9 | − | 9.59522e7i | −1.67140 | − | 0.125254i | ||||
\(916\) | −1.30377e9 | + | 4.02160e8i | −1.69635 | + | 0.523254i | ||||
\(917\) | 4.18159e8 | + | 2.85096e8i | 0.542292 | + | 0.369728i | ||||
\(918\) | −1.88450e8 | − | 2.84042e7i | −0.243594 | − | 0.0367160i | ||||
\(919\) | 8.56047e7 | + | 3.75059e8i | 0.110294 | + | 0.483229i | 0.999661 | + | 0.0260351i | \(0.00828816\pi\) |
−0.889367 | + | 0.457193i | \(0.848855\pi\) | |||||||
\(920\) | −2.88629e9 | + | 2.67809e9i | −3.70661 | + | 3.43923i | ||||
\(921\) | 1.25181e9 | − | 9.38100e7i | 1.60236 | − | 0.120080i | ||||
\(922\) | 1.96736e9 | − | 7.72131e8i | 2.51010 | − | 0.985141i | ||||
\(923\) | −4.05768e7 | − | 2.69210e8i | −0.0516028 | − | 0.342362i | ||||
\(924\) | 1.88791e8 | + | 9.09169e7i | 0.239312 | + | 0.115247i | ||||
\(925\) | −1.91485e8 | + | 3.97623e8i | −0.241941 | + | 0.502396i | ||||
\(926\) | 1.18663e9 | − | 1.78856e8i | 1.49445 | − | 0.225252i | ||||
\(927\) | −2.65370e8 | − | 6.76153e8i | −0.333130 | − | 0.848801i | ||||
\(928\) | 1.29657e8 | + | 1.73016e9i | 0.162238 | + | 2.16492i | ||||
\(929\) | −5.81066e8 | − | 6.26240e8i | −0.724734 | − | 0.781077i | 0.257992 | − | 0.966147i | \(-0.416939\pi\) |
−0.982725 | + | 0.185070i | \(0.940749\pi\) | |||||||
\(930\) | 1.46169e9 | − | 3.33622e8i | 1.81722 | − | 0.414769i | ||||
\(931\) | 2.65189e7 | − | 1.75942e8i | 0.0328630 | − | 0.218032i | ||||
\(932\) | 1.86261e9 | − | 2.73195e9i | 2.30078 | − | 3.37462i | ||||
\(933\) | −6.72708e7 | − | 2.18087e8i | −0.0828288 | − | 0.268524i | ||||
\(934\) | 1.00803e8 | − | 1.34512e9i | 0.123718 | − | 1.65090i | ||||
\(935\) | 5.91168e7 | − | 4.71441e7i | 0.0723230 | − | 0.0576757i | ||||
\(936\) | −1.43411e8 | + | 4.64928e8i | −0.174886 | + | 0.566967i | ||||
\(937\) | −7.14193e7 | − | 2.80300e7i | −0.0868154 | − | 0.0340725i | 0.321536 | − | 0.946897i | \(-0.395801\pi\) |
−0.408351 | + | 0.912825i | \(0.633896\pi\) | |||||||
\(938\) | 4.29796e7 | − | 1.88306e8i | 0.0520780 | − | 0.228169i | ||||
\(939\) | −8.82298e8 | − | 1.52818e9i | −1.06566 | − | 1.84578i | ||||
\(940\) | −1.34387e9 | − | 7.75886e8i | −1.61799 | − | 0.934146i | ||||
\(941\) | 2.20481e8 | + | 2.04576e8i | 0.264607 | + | 0.245520i | 0.801307 | − | 0.598254i | \(-0.204139\pi\) |
−0.536699 | + | 0.843774i | \(0.680329\pi\) | |||||||
\(942\) | 3.47690e8 | + | 2.77274e8i | 0.415949 | + | 0.331708i | ||||
\(943\) | 8.54476e7 | − | 5.82572e7i | 0.101898 | − | 0.0694727i | ||||
\(944\) | 1.86125e9 | − | 8.96330e8i | 2.21253 | − | 1.06550i | ||||
\(945\) | 3.03513e8i | 0.359652i | ||||||||
\(946\) | −1.92819e6 | − | 1.06929e8i | −0.00227760 | − | 0.126305i | ||||
\(947\) | −1.42865e9 | −1.68219 | −0.841094 | − | 0.540889i | \(-0.818088\pi\) | ||||
−0.841094 | + | 0.540889i | \(0.818088\pi\) | |||||||
\(948\) | 2.59981e9 | + | 5.39857e9i | 3.05153 | + | 6.33656i | ||||
\(949\) | 1.58509e8 | + | 2.32490e8i | 0.185463 | + | 0.272024i | ||||
\(950\) | 2.87396e9 | − | 3.60384e9i | 3.35205 | − | 4.20334i | ||||
\(951\) | −6.90999e8 | + | 7.44719e8i | −0.803407 | + | 0.865867i | ||||
\(952\) | −1.13875e9 | + | 1.97237e9i | −1.31983 | + | 2.28601i | ||||
\(953\) | −1.29555e9 | + | 7.47985e8i | −1.49684 | + | 0.864200i | −0.999993 | − | 0.00363958i | \(-0.998841\pi\) |
−0.496845 | + | 0.867839i | \(0.665508\pi\) | |||||||
\(954\) | 3.50604e8 | + | 8.00230e7i | 0.403805 | + | 0.0921658i | ||||
\(955\) | −3.66107e8 | + | 9.32825e8i | −0.420337 | + | 1.07100i | ||||
\(956\) | −4.33337e9 | − | 1.33667e9i | −4.95966 | − | 1.52985i | ||||
\(957\) | 3.00633e7 | + | 3.76982e7i | 0.0343005 | + | 0.0430115i | ||||
\(958\) | −3.82616e8 | − | 2.86731e7i | −0.435177 | − | 0.0326120i | ||||
\(959\) | −1.81371e8 | + | 5.59454e7i | −0.205642 | + | 0.0634321i | ||||
\(960\) | −6.23150e9 | − | 4.24857e9i | −7.04335 | − | 4.80207i | ||||
\(961\) | 7.54798e8 | + | 1.13767e8i | 0.850473 | + | 0.128188i | ||||
\(962\) | 1.71362e7 | + | 7.50785e7i | 0.0192481 | + | 0.0843316i | ||||
\(963\) | −7.61132e8 | + | 7.06227e8i | −0.852278 | + | 0.790798i | ||||
\(964\) | 2.63709e9 | − | 1.97623e8i | 2.94371 | − | 0.220600i | ||||
\(965\) | 2.48951e9 | − | 9.77062e8i | 2.77034 | − | 1.08728i | ||||
\(966\) | −3.18874e8 | − | 2.11559e9i | −0.353743 | − | 2.34693i | ||||
\(967\) | −1.26824e8 | − | 6.10750e7i | −0.140256 | − | 0.0675436i | 0.362440 | − | 0.932007i | \(-0.381944\pi\) |
−0.502695 | + | 0.864464i | \(0.667658\pi\) | |||||||
\(968\) | −1.27046e9 | + | 2.63813e9i | −1.40066 | + | 2.90851i | ||||
\(969\) | −9.86366e8 | + | 1.48671e8i | −1.08409 | + | 0.163401i | ||||
\(970\) | 8.66265e8 | + | 2.20721e9i | 0.949152 | + | 2.41840i | ||||
\(971\) | −2.39235e7 | − | 3.19236e8i | −0.0261316 | − | 0.348702i | −0.994910 | − | 0.100772i | \(-0.967869\pi\) |
0.968778 | − | 0.247930i | \(-0.0797503\pi\) | |||||||
\(972\) | 2.26178e9 | + | 2.43762e9i | 2.46292 | + | 2.65440i | ||||
\(973\) | 1.55760e9 | − | 3.55512e8i | 1.69090 | − | 0.385936i | ||||
\(974\) | 3.74709e8 | − | 2.48603e9i | 0.405525 | − | 2.69048i | ||||
\(975\) | 3.88180e8 | − | 5.69356e8i | 0.418812 | − | 0.614285i | ||||
\(976\) | −6.26367e8 | − | 2.03063e9i | −0.673719 | − | 2.18414i | ||||
\(977\) | 3.30690e7 | − | 4.41275e8i | 0.0354599 | − | 0.473179i | −0.951002 | − | 0.309186i | \(-0.899943\pi\) |
0.986461 | − | 0.163993i | \(-0.0524375\pi\) | |||||||
\(978\) | 3.07977e9 | − | 2.45604e9i | 3.29232 | − | 2.62554i | ||||
\(979\) | −1.17606e7 | + | 3.81269e7i | −0.0125337 | + | 0.0406334i | ||||
\(980\) | 9.11843e8 | + | 3.57872e8i | 0.968817 | + | 0.380233i | ||||
\(981\) | 1.01694e8 | − | 4.45551e8i | 0.107718 | − | 0.471944i | ||||
\(982\) | −2.14737e7 | − | 3.71936e7i | −0.0226763 | − | 0.0392766i | ||||
\(983\) | 1.01976e8 | + | 5.88759e7i | 0.107359 | + | 0.0619836i | 0.552718 | − | 0.833368i | \(-0.313591\pi\) |
−0.445359 | + | 0.895352i | \(0.646924\pi\) | |||||||
\(984\) | 4.64631e8 | + | 4.31114e8i | 0.487666 | + | 0.452488i | ||||
\(985\) | −1.73707e9 | − | 1.38527e9i | −1.81765 | − | 1.44953i | ||||
\(986\) | −6.89498e8 | + | 4.70092e8i | −0.719287 | + | 0.490402i | ||||
\(987\) | 4.77099e8 | − | 2.29759e8i | 0.496200 | − | 0.238957i | ||||
\(988\) | − | 5.86250e8i | − | 0.607871i | ||||||
\(989\) | −6.49404e8 | + | 4.60123e8i | −0.671314 | + | 0.475648i | ||||
\(990\) | −2.02997e8 | −0.209210 | ||||||||
\(991\) | −4.86933e8 | − | 1.01113e9i | −0.500320 | − | 1.03893i | −0.986301 | − | 0.164956i | \(-0.947252\pi\) |
0.485981 | − | 0.873970i | \(-0.338463\pi\) | |||||||
\(992\) | 7.30884e8 | + | 1.07201e9i | 0.748709 | + | 1.09815i | ||||
\(993\) | −1.31473e9 | + | 1.64862e9i | −1.34273 | + | 1.68373i | ||||
\(994\) | −2.32710e9 | + | 2.50802e9i | −2.36949 | + | 2.55371i | ||||
\(995\) | −1.15763e9 | + | 2.00508e9i | −1.17517 | + | 2.03546i | ||||
\(996\) | 2.24921e9 | − | 1.29858e9i | 2.27642 | − | 1.31429i | ||||
\(997\) | 1.07003e9 | + | 2.44227e8i | 1.07972 | + | 0.246439i | 0.725149 | − | 0.688592i | \(-0.241771\pi\) |
0.354568 | + | 0.935030i | \(0.384628\pi\) | |||||||
\(998\) | 4.42073e7 | − | 1.12638e8i | 0.0444736 | − | 0.113317i | ||||
\(999\) | 3.54213e7 | + | 1.09260e7i | 0.0355278 | + | 0.0109589i |
(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 | 43.7.h.a.12.21 | ✓ | 252 | |
43.18 | odd | 42 | inner | 43.7.h.a.18.21 | yes | 252 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.7.h.a.12.21 | ✓ | 252 | 1.1 | even | 1 | trivial | |
43.7.h.a.18.21 | yes | 252 | 43.18 | odd | 42 | inner |