Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [37,8,Mod(10,37)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(37, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("37.10");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 37 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 37.c (of order \(3\), degree \(2\), 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: | \(11.5582459429\) |
Analytic rank: | \(0\) |
Dimension: | \(42\) |
Relative dimension: | \(21\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 10.20 | ||
Character | \(\chi\) | \(=\) | 37.10 |
Dual form | 37.8.c.a.26.20 |
$q$-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 \(\left(\mathbb{Z}/37\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 9.53293 | − | 16.5115i | 0.842600 | − | 1.45943i | −0.0450891 | − | 0.998983i | \(-0.514357\pi\) |
0.887689 | − | 0.460443i | \(-0.152310\pi\) | |||||||
\(3\) | 19.4337 | + | 33.6601i | 0.415557 | + | 0.719766i | 0.995487 | − | 0.0949003i | \(-0.0302532\pi\) |
−0.579929 | + | 0.814667i | \(0.696920\pi\) | |||||||
\(4\) | −117.754 | − | 203.955i | −0.919950 | − | 1.59340i | ||||
\(5\) | −179.660 | − | 311.180i | −0.642770 | − | 1.11331i | −0.984812 | − | 0.173626i | \(-0.944452\pi\) |
0.342041 | − | 0.939685i | \(-0.388882\pi\) | |||||||
\(6\) | 741.040 | 1.40059 | ||||||||
\(7\) | 35.6214 | + | 61.6981i | 0.0392526 | + | 0.0679874i | 0.884984 | − | 0.465621i | \(-0.154169\pi\) |
−0.845732 | + | 0.533608i | \(0.820836\pi\) | |||||||
\(8\) | −2049.72 | −1.41540 | ||||||||
\(9\) | 338.163 | − | 585.716i | 0.154624 | − | 0.267817i | ||||
\(10\) | −6850.74 | −2.16639 | ||||||||
\(11\) | −5482.90 | −1.24204 | −0.621020 | − | 0.783795i | \(-0.713281\pi\) | ||||
−0.621020 | + | 0.783795i | \(0.713281\pi\) | |||||||
\(12\) | 4576.77 | − | 7927.21i | 0.764584 | − | 1.32430i | ||||
\(13\) | −2016.85 | − | 3493.28i | −0.254608 | − | 0.440993i | 0.710181 | − | 0.704019i | \(-0.248613\pi\) |
−0.964789 | + | 0.263025i | \(0.915280\pi\) | |||||||
\(14\) | 1358.31 | 0.132297 | ||||||||
\(15\) | 6982.91 | − | 12094.7i | 0.534216 | − | 0.925289i | ||||
\(16\) | −4467.35 | + | 7737.68i | −0.272666 | + | 0.472271i | ||||
\(17\) | 1912.35 | − | 3312.28i | 0.0944052 | − | 0.163515i | −0.814955 | − | 0.579524i | \(-0.803238\pi\) |
0.909360 | + | 0.416010i | \(0.136572\pi\) | |||||||
\(18\) | −6447.37 | − | 11167.2i | −0.260573 | − | 0.451325i | ||||
\(19\) | 4629.97 | + | 8019.35i | 0.154861 | + | 0.268226i | 0.933008 | − | 0.359855i | \(-0.117174\pi\) |
−0.778148 | + | 0.628081i | \(0.783840\pi\) | |||||||
\(20\) | −42311.2 | + | 73285.1i | −1.18263 | + | 2.04838i | ||||
\(21\) | −1384.51 | + | 2398.04i | −0.0326234 | + | 0.0565053i | ||||
\(22\) | −52268.1 | + | 90531.0i | −1.04654 | + | 1.81267i | ||||
\(23\) | −5222.95 | −0.0895094 | −0.0447547 | − | 0.998998i | \(-0.514251\pi\) | ||||
−0.0447547 | + | 0.998998i | \(0.514251\pi\) | |||||||
\(24\) | −39833.6 | − | 68993.8i | −0.588180 | − | 1.01876i | ||||
\(25\) | −25492.8 | + | 44154.8i | −0.326308 | + | 0.565181i | ||||
\(26\) | −76905.9 | −0.858130 | ||||||||
\(27\) | 111290. | 1.08814 | ||||||||
\(28\) | 8389.10 | − | 14530.3i | 0.0722208 | − | 0.125090i | ||||
\(29\) | 208260. | 1.58567 | 0.792836 | − | 0.609436i | \(-0.208604\pi\) | ||||
0.792836 | + | 0.609436i | \(0.208604\pi\) | |||||||
\(30\) | −133135. | − | 230597.i | −0.900261 | − | 1.55930i | ||||
\(31\) | 167954. | 1.01257 | 0.506285 | − | 0.862366i | \(-0.331018\pi\) | ||||
0.506285 | + | 0.862366i | \(0.331018\pi\) | |||||||
\(32\) | −46007.9 | − | 79688.1i | −0.248203 | − | 0.429901i | ||||
\(33\) | −106553. | − | 184555.i | −0.516139 | − | 0.893979i | ||||
\(34\) | −36460.6 | − | 63151.6i | −0.159092 | − | 0.275555i | ||||
\(35\) | 12799.5 | − | 22169.3i | 0.0504608 | − | 0.0874006i | ||||
\(36\) | −159280. | −0.568986 | ||||||||
\(37\) | −141831. | − | 273525.i | −0.460324 | − | 0.887751i | ||||
\(38\) | 176549. | 0.521942 | ||||||||
\(39\) | 78389.6 | − | 135775.i | 0.211608 | − | 0.366516i | ||||
\(40\) | 368252. | + | 637831.i | 0.909777 | + | 1.57578i | ||||
\(41\) | 109331. | + | 189366.i | 0.247741 | + | 0.429101i | 0.962899 | − | 0.269863i | \(-0.0869784\pi\) |
−0.715157 | + | 0.698963i | \(0.753645\pi\) | |||||||
\(42\) | 26396.9 | + | 45720.8i | 0.0549769 | + | 0.0952228i | ||||
\(43\) | 796029. | 1.52682 | 0.763412 | − | 0.645912i | \(-0.223523\pi\) | ||||
0.763412 | + | 0.645912i | \(0.223523\pi\) | |||||||
\(44\) | 645631. | + | 1.11827e6i | 1.14261 | + | 1.97907i | ||||
\(45\) | −243017. | −0.397551 | ||||||||
\(46\) | −49790.1 | + | 86238.9i | −0.0754206 | + | 0.130632i | ||||
\(47\) | −962035. | −1.35160 | −0.675801 | − | 0.737085i | \(-0.736202\pi\) | ||||
−0.675801 | + | 0.737085i | \(0.736202\pi\) | |||||||
\(48\) | −347269. | −0.453233 | ||||||||
\(49\) | 409234. | − | 708814.i | 0.496918 | − | 0.860688i | ||||
\(50\) | 486042. | + | 841849.i | 0.549894 | + | 0.952444i | ||||
\(51\) | 148656. | 0.156923 | ||||||||
\(52\) | −474982. | + | 822693.i | −0.468453 | + | 0.811384i | ||||
\(53\) | 46775.7 | − | 81018.0i | 0.0431574 | − | 0.0747508i | −0.843640 | − | 0.536910i | \(-0.819592\pi\) |
0.886797 | + | 0.462159i | \(0.152925\pi\) | |||||||
\(54\) | 1.06092e6 | − | 1.83757e6i | 0.916863 | − | 1.58805i | ||||
\(55\) | 985056. | + | 1.70617e6i | 0.798347 | + | 1.38278i | ||||
\(56\) | −73013.8 | − | 126464.i | −0.0555580 | − | 0.0962293i | ||||
\(57\) | −179955. | + | 311691.i | −0.128707 | + | 0.222927i | ||||
\(58\) | 1.98533e6 | − | 3.43869e6i | 1.33609 | − | 2.31417i | ||||
\(59\) | −1.07471e6 | + | 1.86146e6i | −0.681256 | + | 1.17997i | 0.293342 | + | 0.956007i | \(0.405232\pi\) |
−0.974598 | + | 0.223962i | \(0.928101\pi\) | |||||||
\(60\) | −3.28905e6 | −1.96581 | ||||||||
\(61\) | −1.37678e6 | − | 2.38466e6i | −0.776625 | − | 1.34515i | −0.933876 | − | 0.357596i | \(-0.883597\pi\) |
0.157251 | − | 0.987559i | \(-0.449737\pi\) | |||||||
\(62\) | 1.60110e6 | − | 2.77318e6i | 0.853192 | − | 1.47777i | ||||
\(63\) | 48183.4 | 0.0242776 | ||||||||
\(64\) | −2.89800e6 | −1.38188 | ||||||||
\(65\) | −724693. | + | 1.25521e6i | −0.327309 | + | 0.566915i | ||||
\(66\) | −4.06305e6 | −1.73959 | ||||||||
\(67\) | 1.76557e6 | + | 3.05805e6i | 0.717170 | + | 1.24217i | 0.962117 | + | 0.272638i | \(0.0878962\pi\) |
−0.244947 | + | 0.969537i | \(0.578770\pi\) | |||||||
\(68\) | −900743. | −0.347392 | ||||||||
\(69\) | −101501. | − | 175805.i | −0.0371963 | − | 0.0644259i | ||||
\(70\) | −244033. | − | 422677.i | −0.0850365 | − | 0.147288i | ||||
\(71\) | −1.10506e6 | − | 1.91401e6i | −0.366421 | − | 0.634659i | 0.622582 | − | 0.782554i | \(-0.286084\pi\) |
−0.989003 | + | 0.147895i | \(0.952750\pi\) | |||||||
\(72\) | −693139. | + | 1.20055e6i | −0.218855 | + | 0.379068i | ||||
\(73\) | 3.10635e6 | 0.934589 | 0.467295 | − | 0.884102i | \(-0.345229\pi\) | ||||
0.467295 | + | 0.884102i | \(0.345229\pi\) | |||||||
\(74\) | −5.86838e6 | − | 265659.i | −1.68348 | − | 0.0762102i | ||||
\(75\) | −1.98168e6 | −0.542398 | ||||||||
\(76\) | 1.09039e6 | − | 1.88861e6i | 0.284928 | − | 0.493510i | ||||
\(77\) | −195308. | − | 338284.i | −0.0487532 | − | 0.0844431i | ||||
\(78\) | −1.49457e6 | − | 2.58866e6i | −0.356602 | − | 0.617653i | ||||
\(79\) | 3.52554e6 | + | 6.10641e6i | 0.804509 | + | 1.39345i | 0.916622 | + | 0.399755i | \(0.130905\pi\) |
−0.112113 | + | 0.993695i | \(0.535762\pi\) | |||||||
\(80\) | 3.21042e6 | 0.701046 | ||||||||
\(81\) | 1.42321e6 | + | 2.46508e6i | 0.297559 | + | 0.515386i | ||||
\(82\) | 4.16897e6 | 0.834988 | ||||||||
\(83\) | −1.54212e6 | + | 2.67104e6i | −0.296037 | + | 0.512751i | −0.975226 | − | 0.221213i | \(-0.928999\pi\) |
0.679188 | + | 0.733964i | \(0.262332\pi\) | |||||||
\(84\) | 652125. | 0.120047 | ||||||||
\(85\) | −1.37429e6 | −0.242723 | ||||||||
\(86\) | 7.58849e6 | − | 1.31436e7i | 1.28650 | − | 2.22829i | ||||
\(87\) | 4.04726e6 | + | 7.01007e6i | 0.658937 | + | 1.14131i | ||||
\(88\) | 1.12384e7 | 1.75798 | ||||||||
\(89\) | −556313. | + | 963563.i | −0.0836477 | + | 0.144882i | −0.904814 | − | 0.425807i | \(-0.859990\pi\) |
0.821166 | + | 0.570689i | \(0.193324\pi\) | |||||||
\(90\) | −2.31667e6 | + | 4.01258e6i | −0.334977 | + | 0.580197i | ||||
\(91\) | 143686. | − | 248871.i | 0.0199880 | − | 0.0346202i | ||||
\(92\) | 615021. | + | 1.06525e6i | 0.0823442 | + | 0.142624i | ||||
\(93\) | 3.26397e6 | + | 5.65336e6i | 0.420781 | + | 0.728814i | ||||
\(94\) | −9.17102e6 | + | 1.58847e7i | −1.13886 | + | 1.97256i | ||||
\(95\) | 1.66364e6 | − | 2.88151e6i | 0.199080 | − | 0.344816i | ||||
\(96\) | 1.78821e6 | − | 3.09727e6i | 0.206285 | − | 0.357297i | ||||
\(97\) | −3.88297e6 | −0.431979 | −0.215990 | − | 0.976396i | \(-0.569298\pi\) | ||||
−0.215990 | + | 0.976396i | \(0.569298\pi\) | |||||||
\(98\) | −7.80239e6 | − | 1.35141e7i | −0.837407 | − | 1.45043i | ||||
\(99\) | −1.85411e6 | + | 3.21142e6i | −0.192049 | + | 0.332639i | ||||
\(100\) | 1.20075e7 | 1.20075 | ||||||||
\(101\) | −1.99299e7 | −1.92478 | −0.962389 | − | 0.271674i | \(-0.912423\pi\) | ||||
−0.962389 | + | 0.271674i | \(0.912423\pi\) | |||||||
\(102\) | 1.41713e6 | − | 2.45454e6i | 0.132223 | − | 0.229018i | ||||
\(103\) | 9.40716e6 | 0.848258 | 0.424129 | − | 0.905602i | \(-0.360580\pi\) | ||||
0.424129 | + | 0.905602i | \(0.360580\pi\) | |||||||
\(104\) | 4.13397e6 | + | 7.16024e6i | 0.360372 | + | 0.624182i | ||||
\(105\) | 994964. | 0.0838774 | ||||||||
\(106\) | −891820. | − | 1.54468e6i | −0.0727288 | − | 0.125970i | ||||
\(107\) | −3.06755e6 | − | 5.31314e6i | −0.242074 | − | 0.419284i | 0.719231 | − | 0.694771i | \(-0.244494\pi\) |
−0.961305 | + | 0.275487i | \(0.911161\pi\) | |||||||
\(108\) | −1.31048e7 | − | 2.26982e7i | −1.00103 | − | 1.73384i | ||||
\(109\) | 5.65133e6 | − | 9.78838e6i | 0.417982 | − | 0.723966i | −0.577754 | − | 0.816211i | \(-0.696071\pi\) |
0.995736 | + | 0.0922446i | \(0.0294042\pi\) | |||||||
\(110\) | 3.75619e7 | 2.69075 | ||||||||
\(111\) | 6.45060e6 | − | 1.00896e7i | 0.447682 | − | 0.700237i | ||||
\(112\) | −636534. | −0.0428113 | ||||||||
\(113\) | −2.03064e6 | + | 3.51717e6i | −0.132391 | + | 0.229308i | −0.924598 | − | 0.380945i | \(-0.875599\pi\) |
0.792207 | + | 0.610253i | \(0.208932\pi\) | |||||||
\(114\) | 3.43100e6 | + | 5.94266e6i | 0.216897 | + | 0.375677i | ||||
\(115\) | 938355. | + | 1.62528e6i | 0.0575340 | + | 0.0996518i | ||||
\(116\) | −2.45234e7 | − | 4.24757e7i | −1.45874 | − | 2.52661i | ||||
\(117\) | −2.72810e6 | −0.157474 | ||||||||
\(118\) | 2.04903e7 | + | 3.54903e7i | 1.14805 | + | 1.98848i | ||||
\(119\) | 272482. | 0.0148226 | ||||||||
\(120\) | −1.43130e7 | + | 2.47908e7i | −0.756129 | + | 1.30965i | ||||
\(121\) | 1.05750e7 | 0.542663 | ||||||||
\(122\) | −5.24992e7 | −2.61754 | ||||||||
\(123\) | −4.24940e6 | + | 7.36017e6i | −0.205901 | + | 0.356632i | ||||
\(124\) | −1.97772e7 | − | 3.42551e7i | −0.931514 | − | 1.61343i | ||||
\(125\) | −9.75173e6 | −0.446577 | ||||||||
\(126\) | 459329. | − | 795581.i | 0.0204563 | − | 0.0354313i | ||||
\(127\) | −995719. | + | 1.72464e6i | −0.0431344 | + | 0.0747110i | −0.886787 | − | 0.462179i | \(-0.847068\pi\) |
0.843652 | + | 0.536890i | \(0.180401\pi\) | |||||||
\(128\) | −2.17375e7 | + | 3.76504e7i | −0.916166 | + | 1.58685i | ||||
\(129\) | 1.54698e7 | + | 2.67944e7i | 0.634483 | + | 1.09896i | ||||
\(130\) | 1.38169e7 | + | 2.39316e7i | 0.551581 | + | 0.955365i | ||||
\(131\) | 4.76042e6 | − | 8.24529e6i | 0.185010 | − | 0.320447i | −0.758570 | − | 0.651592i | \(-0.774101\pi\) |
0.943580 | + | 0.331145i | \(0.107435\pi\) | |||||||
\(132\) | −2.50940e7 | + | 4.34640e7i | −0.949644 | + | 1.64483i | ||||
\(133\) | −329852. | + | 571321.i | −0.0121573 | + | 0.0210571i | ||||
\(134\) | 6.73241e7 | 2.41715 | ||||||||
\(135\) | −1.99943e7 | − | 3.46312e7i | −0.699421 | − | 1.21143i | ||||
\(136\) | −3.91977e6 | + | 6.78925e6i | −0.133621 | + | 0.231438i | ||||
\(137\) | 5.46353e7 | 1.81531 | 0.907656 | − | 0.419715i | \(-0.137870\pi\) | ||||
0.907656 | + | 0.419715i | \(0.137870\pi\) | |||||||
\(138\) | −3.87042e6 | −0.125366 | ||||||||
\(139\) | 145647. | − | 252268.i | 0.00459991 | − | 0.00796728i | −0.863716 | − | 0.503978i | \(-0.831869\pi\) |
0.868316 | + | 0.496011i | \(0.165202\pi\) | |||||||
\(140\) | −6.02873e6 | −0.185685 | ||||||||
\(141\) | −1.86959e7 | − | 3.23822e7i | −0.561668 | − | 0.972837i | ||||
\(142\) | −4.21377e7 | −1.23498 | ||||||||
\(143\) | 1.10582e7 | + | 1.91533e7i | 0.316233 | + | 0.547732i | ||||
\(144\) | 3.02139e6 | + | 5.23320e6i | 0.0843214 | + | 0.146049i | ||||
\(145\) | −3.74160e7 | − | 6.48064e7i | −1.01922 | − | 1.76535i | ||||
\(146\) | 2.96126e7 | − | 5.12906e7i | 0.787485 | − | 1.36396i | ||||
\(147\) | 3.18117e7 | 0.825992 | ||||||||
\(148\) | −3.90858e7 | + | 6.11356e7i | −0.991067 | + | 1.55017i | ||||
\(149\) | 1.84995e7 | 0.458150 | 0.229075 | − | 0.973409i | \(-0.426430\pi\) | ||||
0.229075 | + | 0.973409i | \(0.426430\pi\) | |||||||
\(150\) | −1.88912e7 | + | 3.27205e7i | −0.457025 | + | 0.791590i | ||||
\(151\) | −3.87968e7 | − | 6.71980e7i | −0.917015 | − | 1.58832i | −0.803924 | − | 0.594732i | \(-0.797258\pi\) |
−0.113091 | − | 0.993585i | \(-0.536075\pi\) | |||||||
\(152\) | −9.49014e6 | − | 1.64374e7i | −0.219190 | − | 0.379647i | ||||
\(153\) | −1.29337e6 | − | 2.24018e6i | −0.0291946 | − | 0.0505666i | ||||
\(154\) | −7.44745e6 | −0.164318 | ||||||||
\(155\) | −3.01746e7 | − | 5.22640e7i | −0.650850 | − | 1.12731i | ||||
\(156\) | −3.69226e7 | −0.778676 | ||||||||
\(157\) | −1.43325e7 | + | 2.48246e7i | −0.295579 | + | 0.511958i | −0.975119 | − | 0.221680i | \(-0.928846\pi\) |
0.679540 | + | 0.733638i | \(0.262179\pi\) | |||||||
\(158\) | 1.34435e8 | 2.71152 | ||||||||
\(159\) | 3.63610e6 | 0.0717375 | ||||||||
\(160\) | −1.65315e7 | + | 2.86335e7i | −0.319076 | + | 0.552655i | ||||
\(161\) | −186049. | − | 322246.i | −0.00351347 | − | 0.00608551i | ||||
\(162\) | 5.42696e7 | 1.00289 | ||||||||
\(163\) | −1.22706e7 | + | 2.12532e7i | −0.221926 | + | 0.384387i | −0.955393 | − | 0.295338i | \(-0.904568\pi\) |
0.733467 | + | 0.679725i | \(0.237901\pi\) | |||||||
\(164\) | 2.57482e7 | − | 4.45971e7i | 0.455819 | − | 0.789502i | ||||
\(165\) | −3.82865e7 | + | 6.63142e7i | −0.663518 | + | 1.14925i | ||||
\(166\) | 2.94019e7 | + | 5.09257e7i | 0.498882 | + | 0.864089i | ||||
\(167\) | 2.87077e7 | + | 4.97232e7i | 0.476970 | + | 0.826136i | 0.999652 | − | 0.0263916i | \(-0.00840169\pi\) |
−0.522682 | + | 0.852528i | \(0.675068\pi\) | |||||||
\(168\) | 2.83786e6 | − | 4.91531e6i | 0.0461751 | − | 0.0799776i | ||||
\(169\) | 2.32389e7 | − | 4.02510e7i | 0.370350 | − | 0.641465i | ||||
\(170\) | −1.31010e7 | + | 2.26916e7i | −0.204519 | + | 0.354237i | ||||
\(171\) | 6.26275e6 | 0.0957808 | ||||||||
\(172\) | −9.37352e7 | − | 1.62354e8i | −1.40460 | − | 2.43284i | ||||
\(173\) | 2.25457e7 | − | 3.90502e7i | 0.331056 | − | 0.573406i | −0.651663 | − | 0.758508i | \(-0.725928\pi\) |
0.982719 | + | 0.185103i | \(0.0592618\pi\) | |||||||
\(174\) | 1.54329e8 | 2.22088 | ||||||||
\(175\) | −3.63236e6 | −0.0512336 | ||||||||
\(176\) | 2.44940e7 | − | 4.24249e7i | 0.338662 | − | 0.586579i | ||||
\(177\) | −8.35425e7 | −1.13240 | ||||||||
\(178\) | 1.06066e7 | + | 1.83712e7i | 0.140963 | + | 0.244155i | ||||
\(179\) | 3.94575e7 | 0.514214 | 0.257107 | − | 0.966383i | \(-0.417231\pi\) | ||||
0.257107 | + | 0.966383i | \(0.417231\pi\) | |||||||
\(180\) | 2.86162e7 | + | 4.95646e7i | 0.365727 | + | 0.633458i | ||||
\(181\) | 6.91716e7 | + | 1.19809e8i | 0.867067 | + | 1.50180i | 0.864980 | + | 0.501806i | \(0.167331\pi\) |
0.00208665 | + | 0.999998i | \(0.499336\pi\) | |||||||
\(182\) | −2.73950e6 | − | 4.74495e6i | −0.0336838 | − | 0.0583420i | ||||
\(183\) | 5.35120e7 | − | 9.26855e7i | 0.645465 | − | 1.11798i | ||||
\(184\) | 1.07056e7 | 0.126692 | ||||||||
\(185\) | −5.96343e7 | + | 9.32763e7i | −0.692460 | + | 1.08310i | ||||
\(186\) | 1.24461e8 | 1.41820 | ||||||||
\(187\) | −1.04852e7 | + | 1.81609e7i | −0.117255 | + | 0.203092i | ||||
\(188\) | 1.13283e8 | + | 1.96212e8i | 1.24341 | + | 2.15364i | ||||
\(189\) | 3.96431e6 | + | 6.86638e6i | 0.0427121 | + | 0.0739795i | ||||
\(190\) | −3.17187e7 | − | 5.49385e7i | −0.335489 | − | 0.581084i | ||||
\(191\) | −1.43576e7 | −0.149096 | −0.0745481 | − | 0.997217i | \(-0.523751\pi\) | ||||
−0.0745481 | + | 0.997217i | \(0.523751\pi\) | |||||||
\(192\) | −5.63189e7 | − | 9.75472e7i | −0.574249 | − | 0.994628i | ||||
\(193\) | −1.46784e8 | −1.46969 | −0.734847 | − | 0.678233i | \(-0.762746\pi\) | ||||
−0.734847 | + | 0.678233i | \(0.762746\pi\) | |||||||
\(194\) | −3.70161e7 | + | 6.41137e7i | −0.363986 | + | 0.630442i | ||||
\(195\) | −5.63339e7 | −0.544062 | ||||||||
\(196\) | −1.92755e8 | −1.82856 | ||||||||
\(197\) | 1.66292e7 | − | 2.88026e7i | 0.154967 | − | 0.268411i | −0.778080 | − | 0.628165i | \(-0.783806\pi\) |
0.933047 | + | 0.359754i | \(0.117139\pi\) | |||||||
\(198\) | 3.53503e7 | + | 6.12285e7i | 0.323642 | + | 0.560564i | ||||
\(199\) | 1.60626e8 | 1.44487 | 0.722437 | − | 0.691436i | \(-0.243022\pi\) | ||||
0.722437 | + | 0.691436i | \(0.243022\pi\) | |||||||
\(200\) | 5.22530e7 | − | 9.05048e7i | 0.461856 | − | 0.799957i | ||||
\(201\) | −6.86229e7 | + | 1.18858e8i | −0.596050 | + | 1.03239i | ||||
\(202\) | −1.89991e8 | + | 3.29073e8i | −1.62182 | + | 2.80907i | ||||
\(203\) | 7.41852e6 | + | 1.28493e7i | 0.0622416 | + | 0.107806i | ||||
\(204\) | −1.75048e7 | − | 3.03192e7i | −0.144361 | − | 0.250041i | ||||
\(205\) | 3.92846e7 | − | 6.80430e7i | 0.318482 | − | 0.551626i | ||||
\(206\) | 8.96778e7 | − | 1.55326e8i | 0.714742 | − | 1.23797i | ||||
\(207\) | −1.76621e6 | + | 3.05917e6i | −0.0138403 | + | 0.0239721i | ||||
\(208\) | 3.60399e7 | 0.277691 | ||||||||
\(209\) | −2.53857e7 | − | 4.39693e7i | −0.192343 | − | 0.333148i | ||||
\(210\) | 9.48492e6 | − | 1.64284e7i | 0.0706751 | − | 0.122413i | ||||
\(211\) | −2.26788e8 | −1.66200 | −0.831002 | − | 0.556270i | \(-0.812232\pi\) | ||||
−0.831002 | + | 0.556270i | \(0.812232\pi\) | |||||||
\(212\) | −2.20320e7 | −0.158811 | ||||||||
\(213\) | 4.29506e7 | − | 7.43927e7i | 0.304538 | − | 0.527475i | ||||
\(214\) | −1.16971e8 | −0.815886 | ||||||||
\(215\) | −1.43014e8 | − | 2.47708e8i | −0.981397 | − | 1.69983i | ||||
\(216\) | −2.28113e8 | −1.54015 | ||||||||
\(217\) | 5.98277e6 | + | 1.03625e7i | 0.0397460 | + | 0.0688420i | ||||
\(218\) | −1.07747e8 | − | 1.86624e8i | −0.704383 | − | 1.22003i | ||||
\(219\) | 6.03679e7 | + | 1.04560e8i | 0.388375 | + | 0.672686i | ||||
\(220\) | 2.31988e8 | − | 4.01815e8i | 1.46888 | − | 2.54417i | ||||
\(221\) | −1.54277e7 | −0.0961451 | ||||||||
\(222\) | −1.05102e8 | − | 2.02693e8i | −0.644727 | − | 1.24338i | ||||
\(223\) | 2.29749e8 | 1.38735 | 0.693675 | − | 0.720288i | \(-0.255991\pi\) | ||||
0.693675 | + | 0.720288i | \(0.255991\pi\) | |||||||
\(224\) | 3.27773e6 | − | 5.67720e6i | 0.0194852 | − | 0.0337494i | ||||
\(225\) | 1.72414e7 | + | 2.98630e7i | 0.100910 | + | 0.174781i | ||||
\(226\) | 3.87159e7 | + | 6.70579e7i | 0.223105 | + | 0.386430i | ||||
\(227\) | −1.04940e8 | − | 1.81761e8i | −0.595456 | − | 1.03136i | −0.993482 | − | 0.113986i | \(-0.963638\pi\) |
0.398026 | − | 0.917374i | \(-0.369695\pi\) | |||||||
\(228\) | 8.47614e7 | 0.473616 | ||||||||
\(229\) | 4.12248e7 | + | 7.14034e7i | 0.226848 | + | 0.392912i | 0.956872 | − | 0.290509i | \(-0.0938247\pi\) |
−0.730025 | + | 0.683421i | \(0.760491\pi\) | |||||||
\(230\) | 3.57811e7 | 0.193913 | ||||||||
\(231\) | 7.59113e6 | − | 1.31482e7i | 0.0405195 | − | 0.0701819i | ||||
\(232\) | −4.26874e8 | −2.24436 | ||||||||
\(233\) | 2.25257e7 | 0.116663 | 0.0583315 | − | 0.998297i | \(-0.481422\pi\) | ||||
0.0583315 | + | 0.998297i | \(0.481422\pi\) | |||||||
\(234\) | −2.60067e7 | + | 4.50450e7i | −0.132688 | + | 0.229822i | ||||
\(235\) | 1.72839e8 | + | 2.99366e8i | 0.868769 | + | 1.50475i | ||||
\(236\) | 5.06205e8 | 2.50688 | ||||||||
\(237\) | −1.37029e8 | + | 2.37340e8i | −0.668639 | + | 1.15812i | ||||
\(238\) | 2.59755e6 | − | 4.49910e6i | 0.0124895 | − | 0.0216325i | ||||
\(239\) | 2.52213e7 | − | 4.36846e7i | 0.119502 | − | 0.206984i | −0.800068 | − | 0.599909i | \(-0.795204\pi\) |
0.919570 | + | 0.392925i | \(0.128537\pi\) | |||||||
\(240\) | 6.23902e7 | + | 1.08063e8i | 0.291325 | + | 0.504589i | ||||
\(241\) | 2.00413e8 | + | 3.47126e8i | 0.922288 | + | 1.59745i | 0.795865 | + | 0.605474i | \(0.207016\pi\) |
0.126423 | + | 0.991976i | \(0.459650\pi\) | |||||||
\(242\) | 1.00811e8 | − | 1.74609e8i | 0.457248 | − | 0.791977i | ||||
\(243\) | 6.63790e7 | − | 1.14972e8i | 0.296763 | − | 0.514008i | ||||
\(244\) | −3.24243e8 | + | 5.61605e8i | −1.42891 | + | 2.47495i | ||||
\(245\) | −2.94091e8 | −1.27762 | ||||||||
\(246\) | 8.10184e7 | + | 1.40328e8i | 0.346985 | + | 0.600996i | ||||
\(247\) | 1.86759e7 | − | 3.23476e7i | 0.0788574 | − | 0.136585i | ||||
\(248\) | −3.44259e8 | −1.43319 | ||||||||
\(249\) | −1.19877e8 | −0.492082 | ||||||||
\(250\) | −9.29626e7 | + | 1.61016e8i | −0.376286 | + | 0.651747i | ||||
\(251\) | 1.67065e7 | 0.0666847 | 0.0333423 | − | 0.999444i | \(-0.489385\pi\) | ||||
0.0333423 | + | 0.999444i | \(0.489385\pi\) | |||||||
\(252\) | −5.67377e6 | − | 9.82725e6i | −0.0223342 | − | 0.0386839i | ||||
\(253\) | 2.86369e7 | 0.111174 | ||||||||
\(254\) | 1.89842e7 | + | 3.28817e7i | 0.0726901 | + | 0.125903i | ||||
\(255\) | −2.67075e7 | − | 4.62587e7i | −0.100865 | − | 0.174704i | ||||
\(256\) | 2.28971e8 | + | 3.96590e8i | 0.852984 | + | 1.47741i | ||||
\(257\) | 1.31111e8 | − | 2.27091e8i | 0.481807 | − | 0.834513i | −0.517975 | − | 0.855395i | \(-0.673314\pi\) |
0.999782 | + | 0.0208821i | \(0.00664748\pi\) | |||||||
\(258\) | 5.89889e8 | 2.13846 | ||||||||
\(259\) | 1.18238e7 | − | 1.84940e7i | 0.0422870 | − | 0.0661427i | ||||
\(260\) | 3.41341e8 | 1.20443 | ||||||||
\(261\) | 7.04259e7 | − | 1.21981e8i | 0.245183 | − | 0.424670i | ||||
\(262\) | −9.07616e7 | − | 1.57204e8i | −0.311779 | − | 0.540018i | ||||
\(263\) | 1.15889e8 | + | 2.00726e8i | 0.392824 | + | 0.680391i | 0.992821 | − | 0.119611i | \(-0.0381649\pi\) |
−0.599997 | + | 0.800002i | \(0.704832\pi\) | |||||||
\(264\) | 2.18403e8 | + | 3.78286e8i | 0.730543 | + | 1.26534i | ||||
\(265\) | −3.36149e7 | −0.110961 | ||||||||
\(266\) | 6.28892e6 | + | 1.08927e7i | 0.0204876 | + | 0.0354855i | ||||
\(267\) | −4.32449e7 | −0.139042 | ||||||||
\(268\) | 4.15803e8 | − | 7.20193e8i | 1.31952 | − | 2.28548i | ||||
\(269\) | 3.89447e8 | 1.21987 | 0.609937 | − | 0.792450i | \(-0.291195\pi\) | ||||
0.609937 | + | 0.792450i | \(0.291195\pi\) | |||||||
\(270\) | −7.62419e8 | −2.35733 | ||||||||
\(271\) | 1.38181e8 | − | 2.39337e8i | 0.421751 | − | 0.730494i | −0.574360 | − | 0.818603i | \(-0.694749\pi\) |
0.996111 | + | 0.0881086i | \(0.0280822\pi\) | |||||||
\(272\) | 1.70863e7 | + | 2.95943e7i | 0.0514821 | + | 0.0891696i | ||||
\(273\) | 1.11694e7 | 0.0332247 | ||||||||
\(274\) | 5.20834e8 | − | 9.02112e8i | 1.52958 | − | 2.64931i | ||||
\(275\) | 1.39774e8 | − | 2.42096e8i | 0.405287 | − | 0.701978i | ||||
\(276\) | −2.39043e7 | + | 4.14034e7i | −0.0684374 | + | 0.118537i | ||||
\(277\) | −1.56663e8 | − | 2.71348e8i | −0.442881 | − | 0.767092i | 0.555021 | − | 0.831836i | \(-0.312710\pi\) |
−0.997902 | + | 0.0647441i | \(0.979377\pi\) | |||||||
\(278\) | −2.77688e6 | − | 4.80971e6i | −0.00775177 | − | 0.0134265i | ||||
\(279\) | 5.67959e7 | − | 9.83735e7i | 0.156568 | − | 0.271183i | ||||
\(280\) | −2.62353e7 | + | 4.54409e7i | −0.0714221 | + | 0.123707i | ||||
\(281\) | −1.74158e8 | + | 3.01650e8i | −0.468243 | + | 0.811021i | −0.999341 | − | 0.0362895i | \(-0.988446\pi\) |
0.531098 | + | 0.847310i | \(0.321779\pi\) | |||||||
\(282\) | −7.12907e8 | −1.89305 | ||||||||
\(283\) | −2.04138e7 | − | 3.53578e7i | −0.0535393 | − | 0.0927327i | 0.838014 | − | 0.545649i | \(-0.183717\pi\) |
−0.891553 | + | 0.452917i | \(0.850384\pi\) | |||||||
\(284\) | −2.60249e8 | + | 4.50764e8i | −0.674177 | + | 1.16771i | ||||
\(285\) | 1.29323e8 | 0.330916 | ||||||||
\(286\) | 4.21667e8 | 1.06583 | ||||||||
\(287\) | −7.78902e6 | + | 1.34910e7i | −0.0194490 | + | 0.0336866i | ||||
\(288\) | −6.22327e7 | −0.153513 | ||||||||
\(289\) | 1.97855e8 | + | 3.42695e8i | 0.482175 | + | 0.835152i | ||||
\(290\) | −1.42674e9 | −3.43519 | ||||||||
\(291\) | −7.54604e7 | − | 1.30701e8i | −0.179512 | − | 0.310924i | ||||
\(292\) | −3.65784e8 | − | 6.33557e8i | −0.859775 | − | 1.48917i | ||||
\(293\) | 2.47149e8 | + | 4.28074e8i | 0.574013 | + | 0.994219i | 0.996148 | + | 0.0876862i | \(0.0279473\pi\) |
−0.422136 | + | 0.906533i | \(0.638719\pi\) | |||||||
\(294\) | 3.03259e8 | − | 5.25259e8i | 0.695981 | − | 1.20548i | ||||
\(295\) | 7.72330e8 | 1.75156 | ||||||||
\(296\) | 2.90712e8 | + | 5.60649e8i | 0.651542 | + | 1.25652i | ||||
\(297\) | −6.10192e8 | −1.35151 | ||||||||
\(298\) | 1.76354e8 | − | 3.05455e8i | 0.386037 | − | 0.668636i | ||||
\(299\) | 1.05339e7 | + | 1.82453e7i | 0.0227898 | + | 0.0394731i | ||||
\(300\) | 2.33349e8 | + | 4.04173e8i | 0.498979 | + | 0.864257i | ||||
\(301\) | 2.83557e7 | + | 4.91134e7i | 0.0599318 | + | 0.103805i | ||||
\(302\) | −1.47939e9 | −3.09071 | ||||||||
\(303\) | −3.87312e8 | − | 6.70844e8i | −0.799856 | − | 1.38539i | ||||
\(304\) | −8.27349e7 | −0.168901 | ||||||||
\(305\) | −4.94706e8 | + | 8.56855e8i | −0.998384 | + | 1.72925i | ||||
\(306\) | −4.93185e7 | −0.0983976 | ||||||||
\(307\) | 8.80242e8 | 1.73627 | 0.868136 | − | 0.496327i | \(-0.165318\pi\) | ||||
0.868136 | + | 0.496327i | \(0.165318\pi\) | |||||||
\(308\) | −4.59965e7 | + | 7.96684e7i | −0.0897011 | + | 0.155367i | ||||
\(309\) | 1.82816e8 | + | 3.16646e8i | 0.352500 | + | 0.610548i | ||||
\(310\) | −1.15061e9 | −2.19363 | ||||||||
\(311\) | 2.41091e8 | − | 4.17581e8i | 0.454484 | − | 0.787190i | −0.544174 | − | 0.838972i | \(-0.683157\pi\) |
0.998658 | + | 0.0517823i | \(0.0164902\pi\) | |||||||
\(312\) | −1.60677e8 | + | 2.78300e8i | −0.299510 | + | 0.518767i | ||||
\(313\) | −4.15968e8 | + | 7.20477e8i | −0.766751 | + | 1.32805i | 0.172564 | + | 0.984998i | \(0.444795\pi\) |
−0.939316 | + | 0.343054i | \(0.888539\pi\) | |||||||
\(314\) | 2.73262e8 | + | 4.73303e8i | 0.498110 | + | 0.862752i | ||||
\(315\) | −8.65662e6 | − | 1.49937e7i | −0.0156049 | − | 0.0270285i | ||||
\(316\) | 8.30290e8 | − | 1.43810e9i | 1.48022 | − | 2.56381i | ||||
\(317\) | 2.00791e8 | − | 3.47780e8i | 0.354027 | − | 0.613194i | −0.632924 | − | 0.774214i | \(-0.718145\pi\) |
0.986951 | + | 0.161021i | \(0.0514786\pi\) | |||||||
\(318\) | 3.46627e7 | − | 6.00376e7i | 0.0604460 | − | 0.104696i | ||||
\(319\) | −1.14187e9 | −1.96947 | ||||||||
\(320\) | 5.20655e8 | + | 9.01801e8i | 0.888229 | + | 1.53846i | ||||
\(321\) | 1.19227e8 | − | 2.06508e8i | 0.201191 | − | 0.348473i | ||||
\(322\) | −7.09437e6 | −0.0118418 | ||||||||
\(323\) | 3.54165e7 | 0.0584786 | ||||||||
\(324\) | 3.35177e8 | − | 5.80543e8i | 0.547478 | − | 0.948259i | ||||
\(325\) | 2.05660e8 | 0.332322 | ||||||||
\(326\) | 2.33949e8 | + | 4.05211e8i | 0.373989 | + | 0.647769i | ||||
\(327\) | 4.39305e8 | 0.694782 | ||||||||
\(328\) | −2.24097e8 | − | 3.88147e8i | −0.350653 | − | 0.607349i | ||||
\(329\) | −3.42691e7 | − | 5.93557e7i | −0.0530538 | − | 0.0918919i | ||||
\(330\) | 7.29966e8 | + | 1.26434e9i | 1.11816 | + | 1.93671i | ||||
\(331\) | −6.52340e8 | + | 1.12989e9i | −0.988727 | + | 1.71252i | −0.364691 | + | 0.931129i | \(0.618825\pi\) |
−0.624036 | + | 0.781396i | \(0.714508\pi\) | |||||||
\(332\) | 7.26363e8 | 1.08936 | ||||||||
\(333\) | −2.08170e8 | − | 9.42375e6i | −0.308932 | − | 0.0139852i | ||||
\(334\) | 1.09468e9 | 1.60758 | ||||||||
\(335\) | 6.34402e8 | − | 1.09882e9i | 0.921951 | − | 1.59687i | ||||
\(336\) | −1.23702e7 | − | 2.14258e7i | −0.0177905 | − | 0.0308141i | ||||
\(337\) | 1.42735e8 | + | 2.47225e8i | 0.203155 | + | 0.351874i | 0.949543 | − | 0.313636i | \(-0.101547\pi\) |
−0.746389 | + | 0.665510i | \(0.768214\pi\) | |||||||
\(338\) | −4.43070e8 | − | 7.67419e8i | −0.624114 | − | 1.08100i | ||||
\(339\) | −1.57851e8 | −0.220064 | ||||||||
\(340\) | 1.61827e8 | + | 2.80293e8i | 0.223293 | + | 0.386755i | ||||
\(341\) | −9.20876e8 | −1.25765 | ||||||||
\(342\) | 5.97023e7 | − | 1.03407e8i | 0.0807049 | − | 0.139785i | ||||
\(343\) | 1.16981e8 | 0.156526 | ||||||||
\(344\) | −1.63163e9 | −2.16107 | ||||||||
\(345\) | −3.64714e7 | + | 6.31703e7i | −0.0478173 | + | 0.0828221i | ||||
\(346\) | −4.29852e8 | − | 7.44526e8i | −0.557896 | − | 0.966304i | ||||
\(347\) | −1.32741e9 | −1.70550 | −0.852750 | − | 0.522319i | \(-0.825067\pi\) | ||||
−0.852750 | + | 0.522319i | \(0.825067\pi\) | |||||||
\(348\) | 9.53160e8 | − | 1.65092e9i | 1.21238 | − | 2.09990i | ||||
\(349\) | −5.65755e8 | + | 9.79916e8i | −0.712425 | + | 1.23396i | 0.251519 | + | 0.967852i | \(0.419070\pi\) |
−0.963944 | + | 0.266104i | \(0.914263\pi\) | |||||||
\(350\) | −3.46270e7 | + | 5.99757e7i | −0.0431695 | + | 0.0747717i | ||||
\(351\) | −2.24455e8 | − | 3.88768e8i | −0.277048 | − | 0.479861i | ||||
\(352\) | 2.52257e8 | + | 4.36921e8i | 0.308279 | + | 0.533954i | ||||
\(353\) | −1.89388e8 | + | 3.28030e8i | −0.229162 | + | 0.396919i | −0.957560 | − | 0.288235i | \(-0.906932\pi\) |
0.728398 | + | 0.685154i | \(0.240265\pi\) | |||||||
\(354\) | −7.96405e8 | + | 1.37941e9i | −0.954163 | + | 1.65266i | ||||
\(355\) | −3.97068e8 | + | 6.87742e8i | −0.471049 | + | 0.815880i | ||||
\(356\) | 2.62031e8 | 0.307807 | ||||||||
\(357\) | 5.29533e6 | + | 9.17179e6i | 0.00615963 | + | 0.0106688i | ||||
\(358\) | 3.76146e8 | − | 6.51503e8i | 0.433277 | − | 0.750457i | ||||
\(359\) | 5.40983e8 | 0.617096 | 0.308548 | − | 0.951209i | \(-0.400157\pi\) | ||||
0.308548 | + | 0.951209i | \(0.400157\pi\) | |||||||
\(360\) | 4.98117e8 | 0.562694 | ||||||||
\(361\) | 4.04063e8 | − | 6.99857e8i | 0.452036 | − | 0.782950i | ||||
\(362\) | 2.63763e9 | 2.92236 | ||||||||
\(363\) | 2.05511e8 | + | 3.55955e8i | 0.225508 | + | 0.390591i | ||||
\(364\) | −6.76782e7 | −0.0735519 | ||||||||
\(365\) | −5.58087e8 | − | 9.66635e8i | −0.600726 | − | 1.04049i | ||||
\(366\) | −1.02025e9 | − | 1.76713e9i | −1.08774 | − | 1.88402i | ||||
\(367\) | 4.80281e8 | + | 8.31871e8i | 0.507182 | + | 0.878465i | 0.999965 | + | 0.00831320i | \(0.00264620\pi\) |
−0.492783 | + | 0.870152i | \(0.664020\pi\) | |||||||
\(368\) | 2.33328e7 | − | 4.04136e7i | 0.0244061 | − | 0.0422727i | ||||
\(369\) | 1.47886e8 | 0.153227 | ||||||||
\(370\) | 9.71644e8 | + | 1.87385e9i | 0.997243 | + | 1.92322i | ||||
\(371\) | 6.66487e6 | 0.00677615 | ||||||||
\(372\) | 7.68689e8 | − | 1.33141e9i | 0.774195 | − | 1.34094i | ||||
\(373\) | −4.00653e8 | − | 6.93951e8i | −0.399749 | − | 0.692386i | 0.593946 | − | 0.804505i | \(-0.297569\pi\) |
−0.993695 | + | 0.112120i | \(0.964236\pi\) | |||||||
\(374\) | 1.99910e8 | + | 3.46253e8i | 0.197598 | + | 0.342250i | ||||
\(375\) | −1.89512e8 | − | 3.28245e8i | −0.185578 | − | 0.321431i | ||||
\(376\) | 1.97190e9 | 1.91306 | ||||||||
\(377\) | −4.20029e8 | − | 7.27512e8i | −0.403724 | − | 0.699271i | ||||
\(378\) | 1.51166e8 | 0.143957 | ||||||||
\(379\) | 5.18526e8 | − | 8.98113e8i | 0.489253 | − | 0.847410i | −0.510671 | − | 0.859776i | \(-0.670603\pi\) |
0.999924 | + | 0.0123659i | \(0.00393629\pi\) | |||||||
\(380\) | −7.83598e8 | −0.732573 | ||||||||
\(381\) | −7.74020e7 | −0.0716992 | ||||||||
\(382\) | −1.36870e8 | + | 2.37067e8i | −0.125628 | + | 0.217595i | ||||
\(383\) | 9.89102e7 | + | 1.71318e8i | 0.0899592 | + | 0.155814i | 0.907494 | − | 0.420066i | \(-0.137993\pi\) |
−0.817534 | + | 0.575880i | \(0.804660\pi\) | |||||||
\(384\) | −1.68976e9 | −1.52288 | ||||||||
\(385\) | −7.01782e7 | + | 1.21552e8i | −0.0626743 | + | 0.108555i | ||||
\(386\) | −1.39928e9 | + | 2.42362e9i | −1.23836 | + | 2.14491i | ||||
\(387\) | 2.69187e8 | − | 4.66246e8i | 0.236084 | − | 0.408909i | ||||
\(388\) | 4.57233e8 | + | 7.91952e8i | 0.397399 | + | 0.688316i | ||||
\(389\) | −5.03503e8 | − | 8.72093e8i | −0.433689 | − | 0.751172i | 0.563498 | − | 0.826117i | \(-0.309455\pi\) |
−0.997188 | + | 0.0749454i | \(0.976122\pi\) | |||||||
\(390\) | −5.37027e8 | + | 9.30158e8i | −0.458427 | + | 0.794018i | ||||
\(391\) | −9.98810e6 | + | 1.72999e7i | −0.00845015 | + | 0.0146361i | ||||
\(392\) | −8.38813e8 | + | 1.45287e9i | −0.703338 | + | 1.21822i | ||||
\(393\) | 3.70050e8 | 0.307530 | ||||||||
\(394\) | −3.17050e8 | − | 5.49147e8i | −0.261151 | − | 0.452326i | ||||
\(395\) | 1.26680e9 | − | 2.19415e9i | 1.03423 | − | 1.79134i | ||||
\(396\) | 8.73314e8 | 0.706703 | ||||||||
\(397\) | 4.56779e8 | 0.366386 | 0.183193 | − | 0.983077i | \(-0.441357\pi\) | ||||
0.183193 | + | 0.983077i | \(0.441357\pi\) | |||||||
\(398\) | 1.53124e9 | − | 2.65218e9i | 1.21745 | − | 2.10869i | ||||
\(399\) | −2.56410e7 | −0.0202083 | ||||||||
\(400\) | −2.27771e8 | − | 3.94510e8i | −0.177946 | − | 0.308211i | ||||
\(401\) | −1.51616e9 | −1.17419 | −0.587095 | − | 0.809518i | \(-0.699728\pi\) | ||||
−0.587095 | + | 0.809518i | \(0.699728\pi\) | |||||||
\(402\) | 1.30836e9 | + | 2.26614e9i | 1.00446 | + | 1.73978i | ||||
\(403\) | −3.38738e8 | − | 5.86712e8i | −0.257808 | − | 0.446537i | ||||
\(404\) | 2.34682e9 | + | 4.06481e9i | 1.77070 | + | 3.06694i | ||||
\(405\) | 5.11388e8 | − | 8.85751e8i | 0.382524 | − | 0.662550i | ||||
\(406\) | 2.82881e8 | 0.209779 | ||||||||
\(407\) | 7.77642e8 | + | 1.49971e9i | 0.571741 | + | 1.10262i | ||||
\(408\) | −3.04703e8 | −0.222109 | ||||||||
\(409\) | 4.85646e7 | − | 8.41163e7i | 0.0350984 | − | 0.0607923i | −0.847943 | − | 0.530088i | \(-0.822159\pi\) |
0.883041 | + | 0.469296i | \(0.155492\pi\) | |||||||
\(410\) | −7.48996e8 | − | 1.29730e9i | −0.536705 | − | 0.929601i | ||||
\(411\) | 1.06177e9 | + | 1.83903e9i | 0.754366 | + | 1.30660i | ||||
\(412\) | −1.10773e9 | − | 1.91864e9i | −0.780355 | − | 1.35161i | ||||
\(413\) | −1.53131e8 | −0.106964 | ||||||||
\(414\) | 3.36743e7 | + | 5.83256e7i | 0.0233237 | + | 0.0403978i | ||||
\(415\) | 1.10823e9 | 0.761136 | ||||||||
\(416\) | −1.85582e8 | + | 3.21438e8i | −0.126389 | + | 0.218912i | ||||
\(417\) | 1.13218e7 | 0.00764611 | ||||||||
\(418\) | −9.67999e8 | −0.648273 | ||||||||
\(419\) | −8.13130e7 | + | 1.40838e8i | −0.0540021 | + | 0.0935344i | −0.891763 | − | 0.452503i | \(-0.850531\pi\) |
0.837761 | + | 0.546038i | \(0.183864\pi\) | |||||||
\(420\) | −1.17161e8 | − | 2.02928e8i | −0.0771630 | − | 0.133650i | ||||
\(421\) | 4.36060e8 | 0.284812 | 0.142406 | − | 0.989808i | \(-0.454516\pi\) | ||||
0.142406 | + | 0.989808i | \(0.454516\pi\) | |||||||
\(422\) | −2.16196e9 | + | 3.74462e9i | −1.40040 | + | 2.42557i | ||||
\(423\) | −3.25325e8 | + | 5.63479e8i | −0.208990 | + | 0.361982i | ||||
\(424\) | −9.58770e7 | + | 1.66064e8i | −0.0610849 | + | 0.105802i | ||||
\(425\) | 9.75022e7 | + | 1.68879e8i | 0.0616102 | + | 0.106712i | ||||
\(426\) | −8.18891e8 | − | 1.41836e9i | −0.513207 | − | 0.888900i | ||||
\(427\) | 9.80860e7 | − | 1.69890e8i | 0.0609691 | − | 0.105602i | ||||
\(428\) | −7.22429e8 | + | 1.25128e9i | −0.445391 | + | 0.771441i | ||||
\(429\) | −4.29802e8 | + | 7.44439e8i | −0.262826 | + | 0.455228i | ||||
\(430\) | −5.45338e9 | −3.30770 | ||||||||
\(431\) | −3.41972e8 | − | 5.92313e8i | −0.205741 | − | 0.356354i | 0.744628 | − | 0.667480i | \(-0.232627\pi\) |
−0.950369 | + | 0.311126i | \(0.899294\pi\) | |||||||
\(432\) | −4.97172e8 | + | 8.61127e8i | −0.296697 | + | 0.513895i | ||||
\(433\) | 1.12971e8 | 0.0668745 | 0.0334372 | − | 0.999441i | \(-0.489355\pi\) | ||||
0.0334372 | + | 0.999441i | \(0.489355\pi\) | |||||||
\(434\) | 2.28133e8 | 0.133960 | ||||||||
\(435\) | 1.45426e9 | − | 2.51885e9i | 0.847091 | − | 1.46720i | ||||
\(436\) | −2.66186e9 | −1.53809 | ||||||||
\(437\) | −2.41821e7 | − | 4.18847e7i | −0.0138615 | − | 0.0240088i | ||||
\(438\) | 2.30193e9 | 1.30898 | ||||||||
\(439\) | 2.13391e8 | + | 3.69604e8i | 0.120379 | + | 0.208502i | 0.919917 | − | 0.392113i | \(-0.128256\pi\) |
−0.799538 | + | 0.600615i | \(0.794922\pi\) | |||||||
\(440\) | −2.01909e9 | − | 3.49716e9i | −1.12998 | − | 1.95718i | ||||
\(441\) | −2.76776e8 | − | 4.79389e8i | −0.153671 | − | 0.266166i | ||||
\(442\) | −1.47071e8 | + | 2.54734e8i | −0.0810119 | + | 0.140317i | ||||
\(443\) | −3.65711e8 | −0.199860 | −0.0999298 | − | 0.994994i | \(-0.531862\pi\) | ||||
−0.0999298 | + | 0.994994i | \(0.531862\pi\) | |||||||
\(444\) | −2.81742e9 | − | 1.27543e8i | −1.52760 | − | 0.0691539i | ||||
\(445\) | 3.99788e8 | 0.215065 | ||||||||
\(446\) | 2.19018e9 | − | 3.79350e9i | 1.16898 | − | 2.02473i | ||||
\(447\) | 3.59513e8 | + | 6.22695e8i | 0.190388 | + | 0.329761i | ||||
\(448\) | −1.03231e8 | − | 1.78801e8i | −0.0542422 | − | 0.0939502i | ||||
\(449\) | 3.77887e8 | + | 6.54519e8i | 0.197015 | + | 0.341240i | 0.947559 | − | 0.319580i | \(-0.103542\pi\) |
−0.750544 | + | 0.660820i | \(0.770209\pi\) | |||||||
\(450\) | 6.57446e8 | 0.340107 | ||||||||
\(451\) | −5.99449e8 | − | 1.03828e9i | −0.307705 | − | 0.532960i | ||||
\(452\) | 9.56461e8 | 0.487172 | ||||||||
\(453\) | 1.50793e9 | − | 2.61181e9i | 0.762145 | − | 1.32007i | ||||
\(454\) | −4.00154e9 | −2.00693 | ||||||||
\(455\) | −1.03258e8 | −0.0513908 | ||||||||
\(456\) | 3.68857e8 | − | 6.38879e8i | 0.182172 | − | 0.315531i | ||||
\(457\) | 1.39549e9 | + | 2.41706e9i | 0.683942 | + | 1.18462i | 0.973768 | + | 0.227543i | \(0.0730693\pi\) |
−0.289826 | + | 0.957079i | \(0.593597\pi\) | |||||||
\(458\) | 1.57197e9 | 0.764567 | ||||||||
\(459\) | 2.12825e8 | − | 3.68624e8i | 0.102726 | − | 0.177926i | ||||
\(460\) | 2.20989e8 | − | 3.82765e8i | 0.105857 | − | 0.183349i | ||||
\(461\) | −3.07043e8 | + | 5.31813e8i | −0.145964 | + | 0.252817i | −0.929732 | − | 0.368237i | \(-0.879962\pi\) |
0.783768 | + | 0.621053i | \(0.213295\pi\) | |||||||
\(462\) | −1.44731e8 | − | 2.50682e8i | −0.0682835 | − | 0.118271i | ||||
\(463\) | −1.41716e9 | − | 2.45460e9i | −0.663569 | − | 1.14934i | −0.979671 | − | 0.200610i | \(-0.935708\pi\) |
0.316102 | − | 0.948725i | \(-0.397626\pi\) | |||||||
\(464\) | −9.30372e8 | + | 1.61145e9i | −0.432358 | + | 0.748866i | ||||
\(465\) | 1.17281e9 | − | 2.03136e9i | 0.540931 | − | 0.936920i | ||||
\(466\) | 2.14736e8 | − | 3.71934e8i | 0.0983003 | − | 0.170261i | ||||
\(467\) | −1.70194e9 | −0.773279 | −0.386639 | − | 0.922231i | \(-0.626364\pi\) | ||||
−0.386639 | + | 0.922231i | \(0.626364\pi\) | |||||||
\(468\) | 3.21243e8 | + | 5.56409e8i | 0.144868 | + | 0.250919i | ||||
\(469\) | −1.25784e8 | + | 2.17864e8i | −0.0563015 | + | 0.0975171i | ||||
\(470\) | 6.59065e9 | 2.92810 | ||||||||
\(471\) | −1.11413e9 | −0.491320 | ||||||||
\(472\) | 2.20286e9 | − | 3.81546e9i | 0.964249 | − | 1.67013i | ||||
\(473\) | −4.36454e9 | −1.89638 | ||||||||
\(474\) | 2.61257e9 | + | 4.52510e9i | 1.12679 | + | 1.95166i | ||||
\(475\) | −4.72124e8 | −0.202129 | ||||||||
\(476\) | −3.20858e7 | − | 5.55741e7i | −0.0136360 | − | 0.0236183i | ||||
\(477\) | −3.16357e7 | − | 5.47946e7i | −0.0133464 | − | 0.0231166i | ||||
\(478\) | −4.80866e8 | − | 8.32885e8i | −0.201385 | − | 0.348809i | ||||
\(479\) | −1.93545e9 | + | 3.35230e9i | −0.804653 | + | 1.39370i | 0.111873 | + | 0.993723i | \(0.464315\pi\) |
−0.916525 | + | 0.399977i | \(0.869018\pi\) | |||||||
\(480\) | −1.28508e9 | −0.530377 | ||||||||
\(481\) | −6.69450e8 | + | 1.04711e9i | −0.274290 | + | 0.429028i | ||||
\(482\) | 7.64210e9 | 3.10848 | ||||||||
\(483\) | 7.23124e6 | − | 1.25249e7i | 0.00292010 | − | 0.00505776i | ||||
\(484\) | −1.24524e9 | − | 2.15682e9i | −0.499223 | − | 0.864680i | ||||
\(485\) | 6.97613e8 | + | 1.20830e9i | 0.277663 | + | 0.480927i | ||||
\(486\) | −1.26557e9 | − | 2.19204e9i | −0.500104 | − | 0.866206i | ||||
\(487\) | −1.02006e9 | −0.400197 | −0.200098 | − | 0.979776i | \(-0.564126\pi\) | ||||
−0.200098 | + | 0.979776i | \(0.564126\pi\) | |||||||
\(488\) | 2.82202e9 | + | 4.88788e9i | 1.09923 | + | 1.90393i | ||||
\(489\) | −9.53849e8 | −0.368892 | ||||||||
\(490\) | −2.80355e9 | + | 4.85590e9i | −1.07652 | + | 1.86459i | ||||
\(491\) | 2.67211e9 | 1.01875 | 0.509377 | − | 0.860544i | \(-0.329876\pi\) | ||||
0.509377 | + | 0.860544i | \(0.329876\pi\) | |||||||
\(492\) | 2.00153e9 | 0.757676 | ||||||||
\(493\) | 3.98266e8 | − | 6.89817e8i | 0.149696 | − | 0.259280i | ||||
\(494\) | −3.56072e8 | − | 6.16736e8i | −0.132891 | − | 0.230173i | ||||
\(495\) | 1.33244e9 | 0.493775 | ||||||||
\(496\) | −7.50311e8 | + | 1.29958e9i | −0.276093 | + | 0.478207i | ||||
\(497\) | 7.87273e7 | − | 1.36360e8i | 0.0287659 | − | 0.0498240i | ||||
\(498\) | −1.14278e9 | + | 1.97935e9i | −0.414628 | + | 0.718157i | ||||
\(499\) | −1.29993e9 | − | 2.25154e9i | −0.468347 | − | 0.811201i | 0.530998 | − | 0.847373i | \(-0.321817\pi\) |
−0.999346 | + | 0.0361716i | \(0.988484\pi\) | |||||||
\(500\) | 1.14830e9 | + | 1.98892e9i | 0.410829 | + | 0.711576i | ||||
\(501\) | −1.11579e9 | + | 1.93261e9i | −0.396417 | + | 0.686614i | ||||
\(502\) | 1.59261e8 | − | 2.75849e8i | 0.0561885 | − | 0.0973214i | ||||
\(503\) | −5.66366e8 | + | 9.80975e8i | −0.198431 | + | 0.343692i | −0.948020 | − | 0.318211i | \(-0.896918\pi\) |
0.749589 | + | 0.661904i | \(0.230251\pi\) | |||||||
\(504\) | −9.87623e7 | −0.0343625 | ||||||||
\(505\) | 3.58061e9 | + | 6.20179e9i | 1.23719 | + | 2.14288i | ||||
\(506\) | 2.72994e8 | − | 4.72839e8i | 0.0936754 | − | 0.162251i | ||||
\(507\) | 1.80647e9 | 0.615606 | ||||||||
\(508\) | 4.68998e8 | 0.158726 | ||||||||
\(509\) | −1.39754e9 | + | 2.42062e9i | −0.469735 | + | 0.813605i | −0.999401 | − | 0.0346012i | \(-0.988984\pi\) |
0.529666 | + | 0.848206i | \(0.322317\pi\) | |||||||
\(510\) | −1.01840e9 | −0.339957 | ||||||||
\(511\) | 1.10653e8 | + | 1.91656e8i | 0.0366850 | + | 0.0635403i | ||||
\(512\) | 3.16628e9 | 1.04257 | ||||||||
\(513\) | 5.15270e8 | + | 8.92474e8i | 0.168509 | + | 0.291867i | ||||
\(514\) | −2.49974e9 | − | 4.32968e9i | −0.811940 | − | 1.40632i | ||||
\(515\) | −1.69009e9 | − | 2.92732e9i | −0.545235 | − | 0.944375i | ||||
\(516\) | 3.64324e9 | − | 6.31028e9i | 1.16739 | − | 2.02197i | ||||
\(517\) | 5.27474e9 | 1.67874 | ||||||||
\(518\) | −1.92649e8 | − | 3.71531e8i | −0.0608994 | − | 0.117447i | ||||
\(519\) | 1.75258e9 | 0.550291 | ||||||||
\(520\) | 1.48542e9 | − | 2.57282e9i | 0.463272 | − | 0.802411i | ||||
\(521\) | −7.27488e7 | − | 1.26005e8i | −0.0225369 | − | 0.0390350i | 0.854537 | − | 0.519391i | \(-0.173841\pi\) |
−0.877074 | + | 0.480355i | \(0.840508\pi\) | |||||||
\(522\) | −1.34273e9 | − | 2.32568e9i | −0.413183 | − | 0.715653i | ||||
\(523\) | 1.94345e9 | + | 3.36615e9i | 0.594042 | + | 1.02891i | 0.993681 | + | 0.112238i | \(0.0358019\pi\) |
−0.399640 | + | 0.916672i | \(0.630865\pi\) | |||||||
\(524\) | −2.24223e9 | −0.680801 | ||||||||
\(525\) | −7.05901e7 | − | 1.22266e8i | −0.0212905 | − | 0.0368763i | ||||
\(526\) | 4.41906e9 | 1.32397 | ||||||||
\(527\) | 3.21187e8 | − | 5.56312e8i | 0.0955919 | − | 0.165570i | ||||
\(528\) | 1.90404e9 | 0.562933 | ||||||||
\(529\) | −3.37755e9 | −0.991988 | ||||||||
\(530\) | −3.20448e8 | + | 5.55033e8i | −0.0934959 | + | 0.161940i | ||||
\(531\) | 7.26856e8 | + | 1.25895e9i | 0.210677 | + | 0.364904i | ||||
\(532\) | 1.55365e8 | 0.0447366 | ||||||||
\(533\) | 4.41007e8 | − | 7.63846e8i | 0.126154 | − | 0.218505i | ||||
\(534\) | −4.12250e8 | + | 7.14039e8i | −0.117157 | + | 0.202921i | ||||
\(535\) | −1.10223e9 | + | 1.90912e9i | −0.311196 | + | 0.539007i | ||||
\(536\) | −3.61891e9 | − | 6.26814e9i | −1.01508 | − | 1.75817i | ||||
\(537\) | 7.66805e8 | + | 1.32815e9i | 0.213685 | + | 0.370114i | ||||
\(538\) | 3.71257e9 | − | 6.43036e9i | 1.02787 | − | 1.78032i | ||||
\(539\) | −2.24379e9 | + | 3.88635e9i | −0.617193 | + | 1.06901i | ||||
\(540\) | −4.70881e9 | + | 8.15590e9i | −1.28687 | + | 2.22892i | ||||
\(541\) | 3.88979e9 | 1.05618 | 0.528088 | − | 0.849190i | \(-0.322909\pi\) | ||||
0.528088 | + | 0.849190i | \(0.322909\pi\) | |||||||
\(542\) | −2.63454e9 | − | 4.56316e9i | −0.710735 | − | 1.23103i | ||||
\(543\) | −2.68852e9 | + | 4.65665e9i | −0.720632 | + | 1.24817i | ||||
\(544\) | −3.51933e8 | −0.0937267 | ||||||||
\(545\) | −4.06126e9 | −1.07467 | ||||||||
\(546\) | 1.06477e8 | − | 1.84424e8i | 0.0279951 | − | 0.0484889i | ||||
\(547\) | −1.06477e9 | −0.278165 | −0.139082 | − | 0.990281i | \(-0.544415\pi\) | ||||
−0.139082 | + | 0.990281i | \(0.544415\pi\) | |||||||
\(548\) | −6.43350e9 | − | 1.11432e10i | −1.67000 | − | 2.89252i | ||||
\(549\) | −1.86231e9 | −0.480340 | ||||||||
\(550\) | −2.66492e9 | − | 4.61577e9i | −0.682990 | − | 1.18297i | ||||
\(551\) | 9.64239e8 | + | 1.67011e9i | 0.245558 | + | 0.425319i | ||||
\(552\) | 2.08049e8 | + | 3.60351e8i | 0.0526476 | + | 0.0911883i | ||||
\(553\) | −2.51169e8 | + | 4.35038e8i | −0.0631581 | + | 0.109393i | ||||
\(554\) | −5.97383e9 | −1.49269 | ||||||||
\(555\) | −4.29861e9 | − | 1.94596e8i | −1.06734 | − | 0.0483179i | ||||
\(556\) | −6.86018e7 | −0.0169268 | ||||||||
\(557\) | 2.58899e9 | − | 4.48427e9i | 0.634801 | − | 1.09951i | −0.351756 | − | 0.936092i | \(-0.614415\pi\) |
0.986557 | − | 0.163416i | \(-0.0522512\pi\) | |||||||
\(558\) | −1.08286e9 | − | 1.87557e9i | −0.263848 | − | 0.456998i | ||||
\(559\) | −1.60547e9 | − | 2.78075e9i | −0.388741 | − | 0.673320i | ||||
\(560\) | 1.14360e8 | + | 1.98077e8i | 0.0275178 | + | 0.0476623i | ||||
\(561\) | −8.15065e8 | −0.194905 | ||||||||
\(562\) | 3.32047e9 | + | 5.75123e9i | 0.789083 | + | 1.36673i | ||||
\(563\) | 1.10692e9 | 0.261420 | 0.130710 | − | 0.991421i | \(-0.458274\pi\) | ||||
0.130710 | + | 0.991421i | \(0.458274\pi\) | |||||||
\(564\) | −4.40302e9 | + | 7.62625e9i | −1.03341 | + | 1.78992i | ||||
\(565\) | 1.45930e9 | 0.340388 | ||||||||
\(566\) | −7.78415e8 | −0.180449 | ||||||||
\(567\) | −1.01394e8 | + | 1.75619e8i | −0.0233599 | + | 0.0404605i | ||||
\(568\) | 2.26505e9 | + | 3.92318e9i | 0.518632 | + | 0.898296i | ||||
\(569\) | 5.42996e9 | 1.23567 | 0.617836 | − | 0.786307i | \(-0.288010\pi\) | ||||
0.617836 | + | 0.786307i | \(0.288010\pi\) | |||||||
\(570\) | 1.23282e9 | − | 2.13531e9i | 0.278830 | − | 0.482947i | ||||
\(571\) | 3.01043e8 | − | 5.21423e8i | 0.0676710 | − | 0.117210i | −0.830205 | − | 0.557459i | \(-0.811776\pi\) |
0.897876 | + | 0.440249i | \(0.145110\pi\) | |||||||
\(572\) | 2.60428e9 | − | 4.51074e9i | 0.581837 | − | 1.00777i | ||||
\(573\) | −2.79022e8 | − | 4.83280e8i | −0.0619580 | − | 0.107314i | ||||
\(574\) | 1.48504e8 | + | 2.57217e8i | 0.0327754 | + | 0.0567687i | ||||
\(575\) | 1.33148e8 | − | 2.30618e8i | 0.0292076 | − | 0.0505890i | ||||
\(576\) | −9.79998e8 | + | 1.69741e9i | −0.213671 | + | 0.370090i | ||||
\(577\) | 1.92636e9 | − | 3.33655e9i | 0.417467 | − | 0.723073i | −0.578217 | − | 0.815883i | \(-0.696251\pi\) |
0.995684 | + | 0.0928094i | \(0.0295847\pi\) | |||||||
\(578\) | 7.54456e9 | 1.62512 | ||||||||
\(579\) | −2.85255e9 | − | 4.94076e9i | −0.610742 | − | 1.05784i | ||||
\(580\) | −8.81173e9 | + | 1.52624e10i | −1.87527 | + | 3.24806i | ||||
\(581\) | −2.19731e8 | −0.0464809 | ||||||||
\(582\) | −2.87744e9 | −0.605028 | ||||||||
\(583\) | −2.56466e8 | + | 4.44213e8i | −0.0536032 | + | 0.0928435i | ||||
\(584\) | −6.36714e9 | −1.32282 | ||||||||
\(585\) | 4.90129e8 | + | 8.48928e8i | 0.101220 | + | 0.175318i | ||||
\(586\) | 9.42420e9 | 1.93465 | ||||||||
\(587\) | −2.61686e9 | − | 4.53254e9i | −0.534008 | − | 0.924929i | −0.999211 | − | 0.0397248i | \(-0.987352\pi\) |
0.465203 | − | 0.885204i | \(-0.345981\pi\) | |||||||
\(588\) | −3.74594e9 | − | 6.48816e9i | −0.759872 | − | 1.31614i | ||||
\(589\) | 7.77624e8 | + | 1.34688e9i | 0.156807 | + | 0.271598i | ||||
\(590\) | 7.36257e9 | − | 1.27523e10i | 1.47587 | − | 2.55628i | ||||
\(591\) | 1.29267e9 | 0.257591 | ||||||||
\(592\) | 2.75006e9 | + | 1.24494e8i | 0.544773 | + | 0.0246616i | ||||
\(593\) | −7.36318e8 | −0.145002 | −0.0725010 | − | 0.997368i | \(-0.523098\pi\) | ||||
−0.0725010 | + | 0.997368i | \(0.523098\pi\) | |||||||
\(594\) | −5.81691e9 | + | 1.00752e10i | −1.13878 | + | 1.97243i | ||||
\(595\) | −4.89541e7 | − | 8.47910e7i | −0.00952751 | − | 0.0165021i | ||||
\(596\) | −2.17838e9 | − | 3.77307e9i | −0.421475 | − | 0.730016i | ||||
\(597\) | 3.12156e9 | + | 5.40670e9i | 0.600428 | + | 1.03997i | ||||
\(598\) | 4.01676e8 | 0.0768107 | ||||||||
\(599\) | 2.26385e9 | + | 3.92111e9i | 0.430382 | + | 0.745443i | 0.996906 | − | 0.0786018i | \(-0.0250456\pi\) |
−0.566524 | + | 0.824045i | \(0.691712\pi\) | |||||||
\(600\) | 4.06187e9 | 0.767710 | ||||||||
\(601\) | 2.98510e8 | − | 5.17035e8i | 0.0560917 | − | 0.0971537i | −0.836616 | − | 0.547790i | \(-0.815469\pi\) |
0.892708 | + | 0.450636i | \(0.148803\pi\) | |||||||
\(602\) | 1.08125e9 | 0.201994 | ||||||||
\(603\) | 2.38820e9 | 0.443567 | ||||||||
\(604\) | −9.13692e9 | + | 1.58256e10i | −1.68722 | + | 2.92234i | ||||
\(605\) | −1.89990e9 | − | 3.29072e9i | −0.348808 | − | 0.604153i | ||||
\(606\) | −1.47689e10 | −2.69583 | ||||||||
\(607\) | 2.56052e9 | − | 4.43496e9i | 0.464695 | − | 0.804876i | −0.534492 | − | 0.845173i | \(-0.679497\pi\) |
0.999188 | + | 0.0402973i | \(0.0128305\pi\) | |||||||
\(608\) | 4.26031e8 | − | 7.37907e8i | 0.0768739 | − | 0.133149i | ||||
\(609\) | −2.88338e8 | + | 4.99417e8i | −0.0517299 | + | 0.0895989i | ||||
\(610\) | 9.43199e9 | + | 1.63367e10i | 1.68248 | + | 2.91413i | ||||
\(611\) | 1.94028e9 | + | 3.36066e9i | 0.344128 | + | 0.596047i | ||||
\(612\) | −3.04598e8 | + | 5.27580e8i | −0.0537152 | + | 0.0930375i | ||||
\(613\) | 2.60949e9 | − | 4.51978e9i | 0.457556 | − | 0.792511i | −0.541275 | − | 0.840846i | \(-0.682058\pi\) |
0.998831 | + | 0.0483348i | \(0.0153914\pi\) | |||||||
\(614\) | 8.39129e9 | − | 1.45341e10i | 1.46298 | − | 2.53396i | ||||
\(615\) | 3.05378e9 | 0.529389 | ||||||||
\(616\) | 4.00327e8 | + | 6.93387e8i | 0.0690053 | + | 0.119521i | ||||
\(617\) | −3.17497e9 | + | 5.49921e9i | −0.544179 | + | 0.942545i | 0.454480 | + | 0.890757i | \(0.349825\pi\) |
−0.998658 | + | 0.0517877i | \(0.983508\pi\) | |||||||
\(618\) | 6.97108e9 | 1.18807 | ||||||||
\(619\) | −7.43850e9 | −1.26057 | −0.630287 | − | 0.776362i | \(-0.717063\pi\) | ||||
−0.630287 | + | 0.776362i | \(0.717063\pi\) | |||||||
\(620\) | −7.10634e9 | + | 1.23085e10i | −1.19750 | + | 2.07413i | ||||
\(621\) | −5.81262e8 | −0.0973984 | ||||||||
\(622\) | −4.59660e9 | − | 7.96155e9i | −0.765897 | − | 1.32657i | ||||
\(623\) | −7.92666e7 | −0.0131336 | ||||||||
\(624\) | 7.00388e8 | + | 1.21311e9i | 0.115397 | + | 0.199873i | ||||
\(625\) | 3.74362e9 | + | 6.48414e9i | 0.613354 | + | 1.06236i | ||||
\(626\) | 7.93078e9 | + | 1.37365e10i | 1.29213 | + | 2.23803i | ||||
\(627\) | 9.86674e8 | − | 1.70897e9i | 0.159859 | − | 0.276884i | ||||
\(628\) | 6.75082e9 | 1.08767 | ||||||||
\(629\) | −1.17722e9 | − | 5.32923e7i | −0.188617 | − | 0.00853861i | ||||
\(630\) | −3.30092e8 | −0.0525948 | ||||||||
\(631\) | −3.26490e9 | + | 5.65497e9i | −0.517329 | + | 0.896040i | 0.482468 | + | 0.875913i | \(0.339740\pi\) |
−0.999797 | + | 0.0201267i | \(0.993593\pi\) | |||||||
\(632\) | −7.22636e9 | − | 1.25164e10i | −1.13870 | − | 1.97229i | ||||
\(633\) | −4.40733e9 | − | 7.63373e9i | −0.690658 | − | 1.19625i | ||||
\(634\) | −3.82825e9 | − | 6.63073e9i | −0.596607 | − | 1.03335i | ||||
\(635\) | 7.15562e8 | 0.110902 | ||||||||
\(636\) | −4.28164e8 | − | 7.41602e8i | −0.0659949 | − | 0.114306i | ||||
\(637\) | −3.30145e9 | −0.506077 | ||||||||
\(638\) | −1.08854e10 | + | 1.88540e10i | −1.65947 | + | 2.87429i | ||||
\(639\) | −1.49476e9 | −0.226630 | ||||||||
\(640\) | 1.56214e10 | 2.35554 | ||||||||
\(641\) | 5.93365e9 | − | 1.02774e10i | 0.889854 | − | 1.54127i | 0.0498079 | − | 0.998759i | \(-0.484139\pi\) |
0.840047 | − | 0.542514i | \(-0.182528\pi\) | |||||||
\(642\) | −2.27317e9 | − | 3.93725e9i | −0.339047 | − | 0.587247i | ||||
\(643\) | 8.31581e9 | 1.23358 | 0.616788 | − | 0.787129i | \(-0.288433\pi\) | ||||
0.616788 | + | 0.787129i | \(0.288433\pi\) | |||||||
\(644\) | −4.38159e7 | + | 7.58913e7i | −0.00646444 | + | 0.0111967i | ||||
\(645\) | 5.55859e9 | − | 9.62777e9i | 0.815654 | − | 1.41275i | ||||
\(646\) | 3.37623e8 | − | 5.84780e8i | 0.0492740 | − | 0.0853451i | ||||
\(647\) | −3.38181e9 | − | 5.85747e9i | −0.490890 | − | 0.850247i | 0.509055 | − | 0.860734i | \(-0.329995\pi\) |
−0.999945 | + | 0.0104872i | \(0.996662\pi\) | |||||||
\(648\) | −2.91718e9 | − | 5.05271e9i | −0.421164 | − | 0.729478i | ||||
\(649\) | 5.89253e9 | − | 1.02062e10i | 0.846147 | − | 1.46557i | ||||
\(650\) | 1.96055e9 | − | 3.39577e9i | 0.280014 | − | 0.484999i | ||||
\(651\) | −2.32535e8 | + | 4.02762e8i | −0.0330335 | + | 0.0572156i | ||||
\(652\) | 5.77961e9 | 0.816643 | ||||||||
\(653\) | −5.91332e9 | − | 1.02422e10i | −0.831066 | − | 1.43945i | −0.897194 | − | 0.441637i | \(-0.854398\pi\) |
0.0661281 | − | 0.997811i | \(-0.478935\pi\) | |||||||
\(654\) | 4.18786e9 | − | 7.25359e9i | 0.585423 | − | 1.01398i | ||||
\(655\) | −3.42103e9 | −0.475677 | ||||||||
\(656\) | −1.95368e9 | −0.270202 | ||||||||
\(657\) | 1.05045e9 | − | 1.81944e9i | 0.144510 | − | 0.250299i | ||||
\(658\) | −1.30674e9 | −0.178813 | ||||||||
\(659\) | −5.04881e8 | − | 8.74480e8i | −0.0687211 | − | 0.119028i | 0.829617 | − | 0.558332i | \(-0.188559\pi\) |
−0.898339 | + | 0.439304i | \(0.855225\pi\) | |||||||
\(660\) | 1.80335e10 | 2.44161 | ||||||||
\(661\) | 2.26311e9 | + | 3.91983e9i | 0.304790 | + | 0.527913i | 0.977215 | − | 0.212253i | \(-0.0680802\pi\) |
−0.672424 | + | 0.740166i | \(0.734747\pi\) | |||||||
\(662\) | 1.24374e10 | + | 2.15423e10i | 1.66620 | + | 2.88595i | ||||
\(663\) | −2.99817e8 | − | 5.19297e8i | −0.0399538 | − | 0.0692020i | ||||
\(664\) | 3.16092e9 | − | 5.47487e9i | 0.419011 | − | 0.725748i | ||||
\(665\) | 2.37045e8 | 0.0312575 | ||||||||
\(666\) | −2.14007e9 | + | 3.34736e9i | −0.280717 | + | 0.439080i | ||||
\(667\) | −1.08773e9 | −0.141932 | ||||||||
\(668\) | 6.76087e9 | − | 1.17102e10i | 0.877577 | − | 1.52001i | ||||
\(669\) | 4.46486e9 | + | 7.73337e9i | 0.576523 | + | 0.998568i | ||||
\(670\) | −1.20954e10 | − | 2.09499e10i | −1.55367 | − | 2.69104i | ||||
\(671\) | 7.54877e9 | + | 1.30748e10i | 0.964600 | + | 1.67074i | ||||
\(672\) | 2.54794e8 | 0.0323889 | ||||||||
\(673\) | −6.24890e9 | − | 1.08234e10i | −0.790225 | − | 1.36871i | −0.925827 | − | 0.377947i | \(-0.876630\pi\) |
0.135602 | − | 0.990763i | \(-0.456703\pi\) | |||||||
\(674\) | 5.44274e9 | 0.684712 | ||||||||
\(675\) | −2.83709e9 | + | 4.91399e9i | −0.355067 | + | 0.614994i | ||||
\(676\) | −1.09459e10 | −1.36281 | ||||||||
\(677\) | −3.12125e9 | −0.386606 | −0.193303 | − | 0.981139i | \(-0.561920\pi\) | ||||
−0.193303 | + | 0.981139i | \(0.561920\pi\) | |||||||
\(678\) | −1.50479e9 | + | 2.60637e9i | −0.185426 | + | 0.321168i | ||||
\(679\) | −1.38317e8 | − | 2.39572e8i | −0.0169563 | − | 0.0293692i | ||||
\(680\) | 2.81690e9 | 0.343550 | ||||||||
\(681\) | 4.07874e9 | − | 7.06458e9i | 0.494892 | − | 0.857179i | ||||
\(682\) | −8.77865e9 | + | 1.52051e10i | −1.05970 | + | 1.83545i | ||||
\(683\) | −3.34521e9 | + | 5.79407e9i | −0.401745 | + | 0.695843i | −0.993937 | − | 0.109954i | \(-0.964929\pi\) |
0.592192 | + | 0.805797i | \(0.298263\pi\) | |||||||
\(684\) | −7.37461e8 | − | 1.27732e9i | −0.0881135 | − | 0.152617i | ||||
\(685\) | −9.81576e9 | − | 1.70014e10i | −1.16683 | − | 2.02101i | ||||
\(686\) | 1.11518e9 | − | 1.93154e9i | 0.131889 | − | 0.228439i | ||||
\(687\) | −1.60230e9 | + | 2.77527e9i | −0.188536 | + | 0.326555i | ||||
\(688\) | −3.55614e9 | + | 6.15942e9i | −0.416313 | + | 0.721074i | ||||
\(689\) | −3.77358e8 | −0.0439528 | ||||||||
\(690\) | 6.95359e8 | + | 1.20440e9i | 0.0805818 | + | 0.139572i | ||||
\(691\) | −7.01143e9 | + | 1.21442e10i | −0.808414 | + | 1.40021i | 0.105549 | + | 0.994414i | \(0.466340\pi\) |
−0.913962 | + | 0.405799i | \(0.866993\pi\) | |||||||
\(692\) | −1.06193e10 | −1.21822 | ||||||||
\(693\) | −2.64184e8 | −0.0301537 | ||||||||
\(694\) | −1.26541e10 | + | 2.19175e10i | −1.43705 | + | 2.48905i | ||||
\(695\) | −1.04668e8 | −0.0118267 | ||||||||
\(696\) | −8.29574e9 | − | 1.43687e10i | −0.932659 | − | 1.61541i | ||||
\(697\) | 8.36313e8 | 0.0935522 | ||||||||
\(698\) | 1.07866e10 | + | 1.86829e10i | 1.20058 | + | 2.07946i | ||||
\(699\) | 4.37758e8 | + | 7.58220e8i | 0.0484802 | + | 0.0839702i | ||||
\(700\) | 4.27723e8 | + | 7.40838e8i | 0.0471324 | + | 0.0816357i | ||||
\(701\) | −4.30586e9 | + | 7.45796e9i | −0.472114 | + | 0.817725i | −0.999491 | − | 0.0319064i | \(-0.989842\pi\) |
0.527377 | + | 0.849631i | \(0.323175\pi\) | |||||||
\(702\) | −8.55886e9 | −0.933762 | ||||||||
\(703\) | 1.53682e9 | − | 2.40380e9i | 0.166832 | − | 0.260949i | ||||
\(704\) | 1.58895e10 | 1.71635 | ||||||||
\(705\) | −6.71780e9 | + | 1.16356e10i | −0.722047 | + | 1.25062i | ||||
\(706\) | 3.61085e9 | + | 6.25418e9i | 0.386183 | + | 0.668889i | ||||
\(707\) | −7.09932e8 | − | 1.22964e9i | −0.0755525 | − | 0.130861i | ||||
\(708\) | 9.83743e9 | + | 1.70389e10i | 1.04175 | + | 1.80437i | ||||
\(709\) | 2.40175e9 | 0.253085 | 0.126542 | − | 0.991961i | \(-0.459612\pi\) | ||||
0.126542 | + | 0.991961i | \(0.459612\pi\) | |||||||
\(710\) | 7.57045e9 | + | 1.31124e10i | 0.793812 | + | 1.37492i | ||||
\(711\) | 4.76883e9 | 0.497586 | ||||||||
\(712\) | 1.14028e9 | − | 1.97503e9i | 0.118395 | − | 0.205066i | ||||
\(713\) | −8.77217e8 | −0.0906345 | ||||||||
\(714\) | 2.01920e8 | 0.0207604 | ||||||||
\(715\) | 3.97342e9 | − | 6.88216e9i | 0.406530 | − | 0.704131i | ||||
\(716\) | −4.64626e9 | − | 8.04756e9i | −0.473051 | − | 0.819349i | ||||
\(717\) | 1.96057e9 | 0.198640 | ||||||||
\(718\) | 5.15715e9 | − | 8.93245e9i | 0.519965 | − | 0.900606i | ||||
\(719\) | −6.15645e8 | + | 1.06633e9i | −0.0617703 | + | 0.106989i | −0.895257 | − | 0.445551i | \(-0.853008\pi\) |
0.833487 | + | 0.552540i | \(0.186341\pi\) | |||||||
\(720\) | 1.08564e9 | − | 1.88039e9i | 0.108399 | − | 0.187752i | ||||
\(721\) | 3.35096e8 | + | 5.80404e8i | 0.0332963 | + | 0.0576709i | ||||
\(722\) | −7.70380e9 | − | 1.33434e10i | −0.761772 | − | 1.31943i | ||||
\(723\) | −7.78954e9 | + | 1.34919e10i | −0.766527 | + | 1.32766i | ||||
\(724\) | 1.62904e10 | − | 2.82158e10i | 1.59532 | − | 2.76317i | ||||
\(725\) | −5.30913e9 | + | 9.19568e9i | −0.517417 | + | 0.896192i | ||||
\(726\) | 7.83648e9 | 0.760051 | ||||||||
\(727\) | 8.71014e9 | + | 1.50864e10i | 0.840727 | + | 1.45618i | 0.889281 | + | 0.457361i | \(0.151205\pi\) |
−0.0485545 | + | 0.998821i | \(0.515461\pi\) | |||||||
\(728\) | −2.94516e8 | + | 5.10116e8i | −0.0282910 | + | 0.0490015i | ||||
\(729\) | 1.13851e10 | 1.08840 | ||||||||
\(730\) | −2.12808e10 | −2.02469 | ||||||||
\(731\) | 1.52228e9 | − | 2.63667e9i | 0.144140 | − | 0.249658i | ||||
\(732\) | −2.52049e10 | −2.37518 | ||||||||
\(733\) | −4.22680e9 | − | 7.32104e9i | −0.396413 | − | 0.686608i | 0.596867 | − | 0.802340i | \(-0.296412\pi\) |
−0.993280 | + | 0.115732i | \(0.963079\pi\) | |||||||
\(734\) | 1.83139e10 | 1.70941 | ||||||||
\(735\) | −5.71528e9 | − | 9.89916e9i | −0.530924 | − | 0.919587i | ||||
\(736\) | 2.40297e8 | + | 4.16207e8i | 0.0222165 | + | 0.0384802i | ||||
\(737\) | −9.68041e9 | − | 1.67670e10i | −0.890754 | − | 1.54283i | ||||
\(738\) | 1.40979e9 | − | 2.44183e9i | 0.129109 | − | 0.223624i | ||||
\(739\) | −8.99239e9 | −0.819633 | −0.409817 | − | 0.912168i | \(-0.634407\pi\) | ||||
−0.409817 | + | 0.912168i | \(0.634407\pi\) | |||||||
\(740\) | 2.60463e10 | + | 1.17910e9i | 2.36285 | + | 0.106965i | ||||
\(741\) | 1.45177e9 | 0.131079 | ||||||||
\(742\) | 6.35358e7 | − | 1.10047e8i | 0.00570958 | − | 0.00988929i | ||||
\(743\) | −6.45765e9 | − | 1.11850e10i | −0.577582 | − | 1.00040i | −0.995756 | − | 0.0920341i | \(-0.970663\pi\) |
0.418174 | − | 0.908367i | \(-0.362670\pi\) | |||||||
\(744\) | −6.69022e9 | − | 1.15878e10i | −0.595573 | − | 1.03156i | ||||
\(745\) | −3.32361e9 | − | 5.75667e9i | −0.294485 | − | 0.510064i | ||||
\(746\) | −1.52776e10 | −1.34731 | ||||||||
\(747\) | 1.04298e9 | + | 1.80649e9i | 0.0915490 | + | 0.158568i | ||||
\(748\) | 4.93868e9 | 0.431475 | ||||||||
\(749\) | 2.18541e8 | − | 3.78523e8i | 0.0190040 | − | 0.0329159i | ||||
\(750\) | −7.22643e9 | −0.625474 | ||||||||
\(751\) | −5.99083e9 | −0.516116 | −0.258058 | − | 0.966129i | \(-0.583083\pi\) | ||||
−0.258058 | + | 0.966129i | \(0.583083\pi\) | |||||||
\(752\) | 4.29775e9 | − | 7.44393e9i | 0.368535 | − | 0.638322i | ||||
\(753\) | 3.24668e8 | + | 5.62342e8i | 0.0277113 | + | 0.0479974i | ||||
\(754\) | −1.60164e10 | −1.36071 | ||||||||
\(755\) | −1.39404e10 | + | 2.41456e10i | −1.17886 | + | 2.04185i | ||||
\(756\) | 9.33623e8 | − | 1.61708e9i | 0.0785860 | − | 0.136115i | ||||
\(757\) | 1.05026e10 | − | 1.81911e10i | 0.879958 | − | 1.52413i | 0.0285721 | − | 0.999592i | \(-0.490904\pi\) |
0.851386 | − | 0.524540i | \(-0.175763\pi\) | |||||||
\(758\) | −9.88614e9 | − | 1.71233e10i | −0.824489 | − | 1.42806i | ||||
\(759\) | 5.56521e8 | + | 9.63922e8i | 0.0461993 | + | 0.0800195i | ||||
\(760\) | −3.40999e9 | + | 5.90628e9i | −0.281777 | + | 0.488052i | ||||
\(761\) | 7.39655e9 | − | 1.28112e10i | 0.608391 | − | 1.05376i | −0.383115 | − | 0.923701i | \(-0.625149\pi\) |
0.991506 | − | 0.130063i | \(-0.0415181\pi\) | |||||||
\(762\) | −7.37868e8 | + | 1.27802e9i | −0.0604138 | + | 0.104640i | ||||
\(763\) | 8.05233e8 | 0.0656275 | ||||||||
\(764\) | 1.69066e9 | + | 2.92832e9i | 0.137161 | + | 0.237570i | ||||
\(765\) | −4.64734e8 | + | 8.04942e8i | −0.0375309 | + | 0.0650054i | ||||
\(766\) | 3.77162e9 | 0.303198 | ||||||||
\(767\) | 8.67013e9 | 0.693812 | ||||||||
\(768\) | −8.89951e9 | + | 1.54144e10i | −0.708928 | + | 1.22790i | ||||
\(769\) | −3.32869e8 | −0.0263956 | −0.0131978 | − | 0.999913i | \(-0.504201\pi\) | ||||
−0.0131978 | + | 0.999913i | \(0.504201\pi\) | |||||||
\(770\) | 1.33801e9 | + | 2.31750e9i | 0.105619 | + | 0.182937i | ||||
\(771\) | 1.01919e10 | 0.800873 | ||||||||
\(772\) | 1.72843e10 | + | 2.99373e10i | 1.35205 | + | 2.34181i | ||||
\(773\) | −5.18209e8 | − | 8.97565e8i | −0.0403531 | − | 0.0698936i | 0.845143 | − | 0.534540i | \(-0.179515\pi\) |
−0.885497 | + | 0.464646i | \(0.846182\pi\) | |||||||
\(774\) | −5.13229e9 | − | 8.88939e9i | −0.397849 | − | 0.689094i | ||||
\(775\) | −4.28162e9 | + | 7.41599e9i | −0.330409 | + | 0.572286i | ||||
\(776\) | 7.95899e9 | 0.611423 | ||||||||
\(777\) | 8.52291e8 | + | 3.85828e7i | 0.0651800 | + | 0.00295067i | ||||
\(778\) | −1.91994e10 | −1.46171 | ||||||||
\(779\) | −1.01240e9 | + | 1.75352e9i | −0.0767307 | + | 0.132902i | ||||
\(780\) | 6.63351e9 | + | 1.14896e10i | 0.500510 | + | 0.866908i | ||||
\(781\) | 6.05891e9 | + | 1.04943e10i | 0.455109 | + | 0.788272i | ||||
\(782\) | 1.90432e8 | + | 3.29838e8i | 0.0142402 | + | 0.0246647i | ||||
\(783\) | 2.31773e10 | 1.72543 | ||||||||
\(784\) | 3.65638e9 | + | 6.33304e9i | 0.270985 | + | 0.469360i | ||||
\(785\) | 1.02999e10 | 0.759958 | ||||||||
\(786\) | 3.52767e9 | − | 6.11010e9i | 0.259124 | − | 0.448817i | ||||
\(787\) | −1.57296e10 | −1.15029 | −0.575144 | − | 0.818052i | \(-0.695054\pi\) | ||||
−0.575144 | + | 0.818052i | \(0.695054\pi\) | |||||||
\(788\) | −7.83259e9 | −0.570248 | ||||||||
\(789\) | −4.50431e9 | + | 7.80170e9i | −0.326482 | + | 0.565483i | ||||
\(790\) | −2.41526e10 | − | 4.18335e10i | −1.74288 | − | 3.01876i | ||||
\(791\) | −2.89337e8 | −0.0207867 | ||||||||
\(792\) | 3.80041e9 | − | 6.58250e9i | 0.271827 | − | 0.470818i | ||||
\(793\) | −5.55353e9 | + | 9.61900e9i | −0.395470 | + | 0.684973i | ||||
\(794\) | 4.35444e9 | − | 7.54212e9i | 0.308717 | − | 0.534714i | ||||
\(795\) | −6.53261e8 | − | 1.13148e9i | −0.0461107 | − | 0.0798661i | ||||
\(796\) | −1.89143e10 | − | 3.27605e10i | −1.32921 | − | 2.30226i | ||||
\(797\) | −9.92532e9 | + | 1.71912e10i | −0.694449 | + | 1.20282i | 0.275917 | + | 0.961182i | \(0.411019\pi\) |
−0.970366 | + | 0.241640i | \(0.922315\pi\) | |||||||
\(798\) | −2.44434e8 | + | 4.23372e8i | −0.0170275 | + | 0.0294925i | ||||
\(799\) | −1.83975e9 | + | 3.18653e9i | −0.127598 | + | 0.221006i | ||||
\(800\) | 4.69148e9 | 0.323963 | ||||||||
\(801\) | 3.76249e8 | + | 6.51683e8i | 0.0258679 | + | 0.0448046i | ||||
\(802\) | −1.44534e10 | + | 2.50340e10i | −0.989372 | + | 1.71364i | ||||
\(803\) | −1.70318e10 | −1.16080 | ||||||||
\(804\) | 3.23224e10 | 2.19335 | ||||||||
\(805\) | −6.68510e7 | + | 1.15789e8i | −0.00451671 | + | 0.00782318i | ||||
\(806\) | −1.29167e10 | −0.868917 | ||||||||
\(807\) | 7.56839e9 | + | 1.31088e10i | 0.506928 | + | 0.878025i | ||||
\(808\) | 4.08507e10 | 2.72433 | ||||||||
\(809\) | 1.14795e10 | + | 1.98830e10i | 0.762257 | + | 1.32027i | 0.941685 | + | 0.336497i | \(0.109242\pi\) |
−0.179428 | + | 0.983771i | \(0.557425\pi\) | |||||||
\(810\) | −9.75006e9 | − | 1.68876e10i | −0.644629 | − | 1.11653i | ||||
\(811\) | −5.35207e9 | − | 9.27006e9i | −0.352329 | − | 0.610253i | 0.634328 | − | 0.773064i | \(-0.281277\pi\) |
−0.986657 | + | 0.162812i | \(0.947944\pi\) | |||||||
\(812\) | 1.74711e9 | − | 3.02609e9i | 0.114518 | − | 0.198352i | ||||
\(813\) | 1.07415e10 | 0.701047 | ||||||||
\(814\) | 3.21757e10 | + | 1.45658e9i | 2.09094 | + | 0.0946561i | ||||
\(815\) | 8.81811e9 | 0.570589 | ||||||||
\(816\) | −6.64099e8 | + | 1.15025e9i | −0.0427875 | + | 0.0741102i | ||||
\(817\) | 3.68559e9 | + | 6.38363e9i | 0.236445 | + | 0.409535i | ||||
\(818\) | −9.25925e8 | − | 1.60375e9i | −0.0591479 | − | 0.102447i | ||||
\(819\) | −9.71786e7 | − | 1.68318e8i | −0.00618126 | − | 0.0107063i | ||||
\(820\) | −1.85036e10 | −1.17195 | ||||||||
\(821\) | 9.17746e9 | + | 1.58958e10i | 0.578791 | + | 1.00249i | 0.995618 | + | 0.0935094i | \(0.0298085\pi\) |
−0.416828 | + | 0.908986i | \(0.636858\pi\) | |||||||
\(822\) | 4.04870e10 | 2.54252 | ||||||||
\(823\) | 1.21398e10 | − | 2.10267e10i | 0.759122 | − | 1.31484i | −0.184177 | − | 0.982893i | \(-0.558962\pi\) |
0.943299 | − | 0.331944i | \(-0.107705\pi\) | |||||||
\(824\) | −1.92820e10 | −1.20062 | ||||||||
\(825\) | 1.08653e10 | 0.673680 | ||||||||
\(826\) | −1.45979e9 | + | 2.52843e9i | −0.0901280 | + | 0.156106i | ||||
\(827\) | −5.12935e9 | − | 8.88430e9i | −0.315350 | − | 0.546203i | 0.664162 | − | 0.747589i | \(-0.268789\pi\) |
−0.979512 | + | 0.201386i | \(0.935455\pi\) | |||||||
\(828\) | 8.31910e8 | 0.0509296 | ||||||||
\(829\) | −8.84871e9 | + | 1.53264e10i | −0.539435 | + | 0.934329i | 0.459500 | + | 0.888178i | \(0.348029\pi\) |
−0.998934 | + | 0.0461506i | \(0.985305\pi\) | |||||||
\(830\) | 1.05647e10 | − | 1.82986e10i | 0.641333 | − | 1.11082i | ||||
\(831\) | 6.08908e9 | − | 1.05466e10i | 0.368085 | − | 0.637542i | ||||
\(832\) | 5.84484e9 | + | 1.01236e10i | 0.351836 | + | 0.609398i | ||||
\(833\) | −1.56519e9 | − | 2.71100e9i | −0.0938233 | − | 0.162507i | ||||
\(834\) | 1.07930e8 | − | 1.86941e8i | 0.00644261 | − | 0.0111589i | ||||
\(835\) | 1.03152e10 | − | 1.78665e10i | 0.613164 | − | 1.06203i | ||||
\(836\) | −5.97851e9 | + | 1.03551e10i | −0.353892 | + | 0.612959i | ||||
\(837\) | 1.86916e10 | 1.10181 | ||||||||
\(838\) | 1.55030e9 | + | 2.68520e9i | 0.0910044 | + | 0.157624i | ||||
\(839\) | 5.28085e9 | − | 9.14671e9i | 0.308700 | − | 0.534685i | −0.669378 | − | 0.742922i | \(-0.733439\pi\) |
0.978078 | + | 0.208237i | \(0.0667726\pi\) | |||||||
\(840\) | −2.03939e9 | −0.118720 | ||||||||
\(841\) | 2.61224e10 | 1.51435 | ||||||||
\(842\) | 4.15693e9 | − | 7.20001e9i | 0.239983 | − | 0.415663i | ||||
\(843\) | −1.35381e10 | −0.778327 | ||||||||
\(844\) | 2.67051e10 | + | 4.62546e10i | 1.52896 | + | 2.64824i | ||||
\(845\) | −1.67004e10 | −0.952200 | ||||||||
\(846\) | 6.20260e9 | + | 1.07432e10i | 0.352190 | + | 0.610012i | ||||
\(847\) | 3.76696e8 | + | 6.52456e8i | 0.0213009 | + | 0.0368943i | ||||
\(848\) | 4.17928e8 | + | 7.23872e8i | 0.0235351 | + | 0.0407639i | ||||
\(849\) | 7.93433e8 | − | 1.37427e9i | 0.0444973 | − | 0.0770715i | ||||
\(850\) | 3.71793e9 | 0.207651 | ||||||||
\(851\) | 7.40774e8 | + | 1.42861e9i | 0.0412033 | + | 0.0794621i | ||||
\(852\) | −2.02304e10 | −1.12064 | ||||||||
\(853\) | −3.72891e9 | + | 6.45867e9i | −0.205713 | + | 0.356305i | −0.950360 | − | 0.311154i | \(-0.899285\pi\) |
0.744647 | + | 0.667459i | \(0.232618\pi\) | |||||||
\(854\) | −1.87009e9 | − | 3.23910e9i | −0.102745 | − | 0.177960i | ||||
\(855\) | −1.12516e9 | − | 1.94884e9i | −0.0615651 | − | 0.106634i | ||||
\(856\) | 6.28760e9 | + | 1.08904e10i | 0.342631 | + | 0.593454i | ||||
\(857\) | −2.14810e10 | −1.16580 | −0.582898 | − | 0.812546i | \(-0.698081\pi\) | ||||
−0.582898 | + | 0.812546i | \(0.698081\pi\) | |||||||
\(858\) | 8.19455e9 | + | 1.41934e10i | 0.442914 | + | 0.767150i | ||||
\(859\) | 9.03456e9 | 0.486330 | 0.243165 | − | 0.969985i | \(-0.421814\pi\) | ||||
0.243165 | + | 0.969985i | \(0.421814\pi\) | |||||||
\(860\) | −3.36809e10 | + | 5.83370e10i | −1.80567 | + | 3.12752i | ||||
\(861\) | −6.05478e8 | −0.0323286 | ||||||||
\(862\) | −1.30400e10 | −0.693429 | ||||||||
\(863\) | 5.32139e9 | − | 9.21692e9i | 0.281830 | − | 0.488144i | −0.690005 | − | 0.723804i | \(-0.742392\pi\) |
0.971836 | + | 0.235660i | \(0.0757252\pi\) | |||||||
\(864\) | −5.12022e9 | − | 8.86849e9i | −0.270079 | − | 0.467790i | ||||
\(865\) | −1.62022e10 | −0.851172 | ||||||||
\(866\) | 1.07695e9 | − | 1.86533e9i | 0.0563484 | − | 0.0975983i | ||||
\(867\) | −7.69011e9 | + | 1.33197e10i | −0.400743 | + | 0.694107i | ||||
\(868\) | 1.40898e9 | − | 2.44043e9i | 0.0731286 | − | 0.126662i | ||||
\(869\) | −1.93302e10 | − | 3.34808e10i | −0.999232 | − | 1.73072i | ||||
\(870\) | −2.77267e10 | − | 4.80241e10i | −1.42752 | − | 2.47253i | ||||
\(871\) | 7.12176e9 | − | 1.23352e10i | 0.365194 | − | 0.632535i | ||||
\(872\) | −1.15836e10 | + | 2.00634e10i | −0.591611 | + | 1.02470i | ||||
\(873\) | −1.31308e9 | + | 2.27432e9i | −0.0667944 | + | 0.115691i | ||||
\(874\) | −9.22107e8 | −0.0467187 | ||||||||
\(875\) | −3.47370e8 | − | 6.01663e8i | −0.0175293 | − | 0.0303616i | ||||
\(876\) | 1.42171e10 | − | 2.46247e10i | 0.714572 | − | 1.23767i | ||||
\(877\) | −2.52162e10 | −1.26236 | −0.631178 | − | 0.775638i | \(-0.717428\pi\) | ||||
−0.631178 | + | 0.775638i | \(0.717428\pi\) | |||||||
\(878\) | 8.13696e9 | 0.405725 | ||||||||
\(879\) | −9.60602e9 | + | 1.66381e10i | −0.477070 | + | 0.826310i | ||||
\(880\) | −1.76024e10 | −0.870727 | ||||||||
\(881\) | 3.09450e9 | + | 5.35983e9i | 0.152467 | + | 0.264080i | 0.932134 | − | 0.362114i | \(-0.117945\pi\) |
−0.779667 | + | 0.626194i | \(0.784612\pi\) | |||||||
\(882\) | −1.05539e10 | −0.517934 | ||||||||
\(883\) | −7.99753e9 | − | 1.38521e10i | −0.390925 | − | 0.677102i | 0.601647 | − | 0.798762i | \(-0.294511\pi\) |
−0.992572 | + | 0.121660i | \(0.961178\pi\) | |||||||
\(884\) | 1.81666e9 | + | 3.14655e9i | 0.0884487 | + | 0.153198i | ||||
\(885\) | 1.50092e10 | + | 2.59967e10i | 0.727875 | + | 1.26072i | ||||
\(886\) | −3.48630e9 | + | 6.03845e9i | −0.168402 | + | 0.291680i | ||||
\(887\) | −6.25595e9 | −0.300996 | −0.150498 | − | 0.988610i | \(-0.548088\pi\) | ||||
−0.150498 | + | 0.988610i | \(0.548088\pi\) | |||||||
\(888\) | −1.32219e10 | + | 2.06809e10i | −0.633649 | + | 0.991115i | ||||
\(889\) | −1.41876e8 | −0.00677254 | ||||||||
\(890\) | 3.81116e9 | − | 6.60111e9i | 0.181214 | − | 0.313872i | ||||
\(891\) | −7.80333e9 | − | 1.35158e10i | −0.369580 | − | 0.640131i | ||||
\(892\) | −2.70537e10 | − | 4.68584e10i | −1.27629 | − | 2.21060i | ||||
\(893\) | −4.45420e9 | − | 7.71490e9i | −0.209310 | − | 0.362535i | ||||
\(894\) | 1.37089e10 | 0.641683 | ||||||||
\(895\) | −7.08893e9 | − | 1.22784e10i | −0.330522 | − | 0.572480i | ||||
\(896\) | −3.09728e9 | −0.143847 | ||||||||
\(897\) | −4.09425e8 | + | 7.09145e8i | −0.0189409 | + | 0.0328066i | ||||
\(898\) | 1.44095e10 | 0.664019 | ||||||||
\(899\) | 3.49782e10 | 1.60560 | ||||||||
\(900\) | 4.06048e9 | − | 7.03296e9i | 0.185664 | − | 0.321580i | ||||
\(901\) | −1.78903e8 | − | 3.09869e8i | −0.00814856 | − | 0.0141137i | ||||
\(902\) | −2.28580e10 | −1.03709 | ||||||||
\(903\) | −1.10211e9 | + | 1.90891e9i | −0.0498102 | + | 0.0862737i | ||||
\(904\) | 4.16224e9 | − | 7.20921e9i | 0.187386 | − | 0.324562i | ||||
\(905\) | 2.48547e10 | − | 4.30496e10i | 1.11465 | − | 1.93063i | ||||
\(906\) | −2.87500e10 | − | 4.97964e10i | −1.28437 | − | 2.22459i | ||||
\(907\) | 1.22082e9 | + | 2.11451e9i | 0.0543281 | + | 0.0940990i | 0.891910 | − | 0.452212i | \(-0.149365\pi\) |
−0.837582 | + | 0.546311i | \(0.816032\pi\) | |||||||
\(908\) | −2.47141e10 | + | 4.28060e10i | −1.09558 | + | 1.89760i | ||||
\(909\) | −6.73957e9 | + | 1.16733e10i | −0.297617 | + | 0.515488i | ||||
\(910\) | −9.84355e8 | + | 1.70495e9i | −0.0433019 | + | 0.0750011i | ||||
\(911\) | −4.34191e9 | −0.190268 | −0.0951342 | − | 0.995464i | \(-0.530328\pi\) | ||||
−0.0951342 | + | 0.995464i | \(0.530328\pi\) | |||||||
\(912\) | −1.60785e9 | − | 2.78487e9i | −0.0701879 | − | 0.121569i | ||||
\(913\) | 8.45531e9 | − | 1.46450e10i | 0.367690 | − | 0.636858i | ||||
\(914\) | 5.32124e10 | 2.30516 | ||||||||
\(915\) | −3.84558e10 | −1.65954 | ||||||||
\(916\) | 9.70873e9 | − | 1.68160e10i | 0.417377 | − | 0.722918i | ||||
\(917\) | 6.78292e8 | 0.0290485 | ||||||||
\(918\) | −4.05770e9 | − | 7.02814e9i | −0.173113 | − | 0.299841i | ||||
\(919\) | 3.61112e10 | 1.53475 | 0.767376 | − | 0.641197i | \(-0.221562\pi\) | ||||
0.767376 | + | 0.641197i | \(0.221562\pi\) | |||||||
\(920\) | −1.92336e9 | − | 3.33136e9i | −0.0814336 | − | 0.141047i | ||||
\(921\) | 1.71064e10 | + | 2.96291e10i | 0.721520 | + | 1.24971i | ||||
\(922\) | 5.85403e9 | + | 1.01395e10i | 0.245978 | + | 0.426047i | ||||
\(923\) | −4.45746e9 | + | 7.72055e9i | −0.186587 | + | 0.323178i | ||||
\(924\) | −3.57553e9 | −0.149104 | ||||||||
\(925\) | 1.56931e10 | + | 7.10419e8i | 0.651948 | + | 0.0295134i | ||||
\(926\) | −5.40388e10 | −2.23649 | ||||||||
\(927\) | 3.18115e9 | − | 5.50992e9i | 0.131161 | − | 0.227178i | ||||
\(928\) | −9.58162e9 | − | 1.65958e10i | −0.393569 | − | 0.681681i | ||||
\(929\) | 1.95813e10 | + | 3.39158e10i | 0.801285 | + | 1.38787i | 0.918771 | + | 0.394792i | \(0.129183\pi\) |
−0.117486 | + | 0.993075i | \(0.537483\pi\) | |||||||
\(930\) | −2.23606e10 | − | 3.87297e10i | −0.911577 | − | 1.57890i | ||||
\(931\) | 7.57897e9 | 0.307812 | ||||||||
\(932\) | −2.65249e9 | − | 4.59424e9i | −0.107324 | − | 0.185891i | ||||
\(933\) | 1.87411e10 | 0.755457 | ||||||||
\(934\) | −1.62245e10 | + | 2.81017e10i | −0.651565 | + | 1.12854i | ||||
\(935\) | 7.53508e9 | 0.301472 | ||||||||
\(936\) | 5.59182e9 | 0.222889 | ||||||||
\(937\) | −2.09003e9 | + | 3.62004e9i | −0.0829973 | + | 0.143756i | −0.904536 | − | 0.426397i | \(-0.859783\pi\) |
0.821539 | + | 0.570153i | \(0.193116\pi\) | |||||||
\(938\) | 2.39818e9 | + | 4.15377e9i | 0.0948793 | + | 0.164336i | ||||
\(939\) | −3.23352e10 | −1.27452 | ||||||||
\(940\) | 4.07048e10 | − | 7.05029e10i | 1.59845 | − | 2.76859i | ||||
\(941\) | −1.96940e10 | + | 3.41111e10i | −0.770497 | + | 1.33454i | 0.166794 | + | 0.985992i | \(0.446659\pi\) |
−0.937291 | + | 0.348549i | \(0.886675\pi\) | |||||||
\(942\) | −1.06210e10 | + | 1.83961e10i | −0.413986 | + | 0.717045i | ||||
\(943\) | −5.71029e8 | − | 9.89051e8i | −0.0221752 | − | 0.0384085i | ||||
\(944\) | −9.60224e9 | − | 1.66316e10i | −0.371510 | − | 0.643474i | ||||
\(945\) | 1.42445e9 | − | 2.46723e9i | 0.0549082 | − | 0.0951037i | ||||
\(946\) | −4.16069e10 | + | 7.20652e10i | −1.59789 | + | 2.76762i | ||||
\(947\) | −7.86254e9 | + | 1.36183e10i | −0.300842 | + | 0.521073i | −0.976327 | − | 0.216301i | \(-0.930601\pi\) |
0.675485 | + | 0.737374i | \(0.263934\pi\) | |||||||
\(948\) | 6.45424e10 | 2.46046 | ||||||||
\(949\) | −6.26504e9 | − | 1.08514e10i | −0.237954 | − | 0.412148i | ||||
\(950\) | −4.50072e9 | + | 7.79548e9i | −0.170314 | + | 0.294992i | ||||
\(951\) | 1.56084e10 | 0.588475 | ||||||||
\(952\) | −5.58511e8 | −0.0209799 | ||||||||
\(953\) | 5.66393e9 | − | 9.81021e9i | 0.211979 | − | 0.367158i | −0.740355 | − | 0.672216i | \(-0.765343\pi\) |
0.952334 | + | 0.305058i | \(0.0986759\pi\) | |||||||
\(954\) | −1.20632e9 | −0.0449825 | ||||||||
\(955\) | 2.57949e9 | + | 4.46781e9i | 0.0958346 | + | 0.165990i | ||||
\(956\) | −1.18796e10 | −0.439743 | ||||||||
\(957\) | −2.21907e10 | − | 3.84355e10i | −0.818426 | − | 1.41756i | ||||
\(958\) | 3.69011e10 | + | 6.39146e10i | 1.35600 | + | 2.34866i | ||||
\(959\) | 1.94619e9 | + | 3.37089e9i | 0.0712556 | + | 0.123418i | ||||
\(960\) | −2.02365e10 | + | 3.50506e10i | −0.738220 | + | 1.27863i | ||||
\(961\) | 6.96022e8 | 0.0252983 | ||||||||
\(962\) | 1.09076e10 | + | 2.10357e10i | 0.395018 | + | 0.761806i | ||||
\(963\) | −4.14932e9 | −0.149722 | ||||||||
\(964\) | 4.71988e10 | − | 8.17506e10i | 1.69692 | − | 2.93915i | ||||
\(965\) | 2.63711e10 | + | 4.56761e10i | 0.944676 | + | 1.63623i | ||||
\(966\) | −1.37870e8 | − | 2.38797e8i | −0.00492095 | − | 0.00852334i | ||||
\(967\) | 2.28698e10 | + | 3.96116e10i | 0.813334 | + | 1.40874i | 0.910518 | + | 0.413469i | \(0.135683\pi\) |
−0.0971844 | + | 0.995266i | \(0.530984\pi\) | |||||||
\(968\) | −2.16757e10 | −0.768085 | ||||||||
\(969\) | 6.88273e8 | + | 1.19212e9i | 0.0243012 | + | 0.0420909i | ||||
\(970\) | 2.66012e10 | 0.935837 | ||||||||
\(971\) | −2.32070e10 | + | 4.01956e10i | −0.813488 | + | 1.40900i | 0.0969209 | + | 0.995292i | \(0.469101\pi\) |
−0.910409 | + | 0.413710i | \(0.864233\pi\) | |||||||
\(972\) | −3.12655e10 | −1.09203 | ||||||||
\(973\) | 2.07526e7 | 0.000722233 | ||||||||
\(974\) | −9.72415e9 | + | 1.68427e10i | −0.337206 | + | 0.584058i | ||||
\(975\) | 3.99674e9 | + | 6.92256e9i | 0.138099 | + | 0.239194i | ||||
\(976\) | 2.46023e10 | 0.847036 | ||||||||
\(977\) | −1.52970e10 | + | 2.64951e10i | −0.524776 | + | 0.908939i | 0.474808 | + | 0.880090i | \(0.342518\pi\) |
−0.999584 | + | 0.0288493i | \(0.990816\pi\) | |||||||
\(978\) | −9.09298e9 | + | 1.57495e10i | −0.310828 | + | 0.538370i | ||||
\(979\) | 3.05021e9 | − | 5.28311e9i | 0.103894 | − | 0.179949i | ||||
\(980\) | 3.46303e10 | + | 5.99815e10i | 1.17534 | + | 2.03576i | ||||
\(981\) | −3.82214e9 | − | 6.62014e9i | −0.129260 | − | 0.223885i | ||||
\(982\) | 2.54730e10 | − | 4.41206e10i | 0.858402 | − | 1.48680i | ||||
\(983\) | 2.28598e10 | − | 3.95944e10i | 0.767601 | − | 1.32952i | −0.171259 | − | 0.985226i | \(-0.554784\pi\) |
0.938860 | − | 0.344298i | \(-0.111883\pi\) | |||||||
\(984\) | 8.71006e9 | − | 1.50863e10i | 0.291433 | − | 0.504776i | ||||
\(985\) | −1.19504e10 | −0.398433 | ||||||||
\(986\) | −7.59328e9 | − | 1.31520e10i | −0.252267 | − | 0.436939i | ||||
\(987\) | 1.33195e9 | − | 2.30700e9i | 0.0440938 | − | 0.0763727i | ||||
\(988\) | −8.79662e9 | −0.290179 | ||||||||
\(989\) | −4.15762e9 | −0.136665 | ||||||||
\(990\) | 1.27020e10 | − | 2.20006e10i | 0.416055 | − | 0.720628i | ||||
\(991\) | 5.25800e10 | 1.71618 | 0.858091 | − | 0.513498i | \(-0.171651\pi\) | ||||
0.858091 | + | 0.513498i | \(0.171651\pi\) | |||||||
\(992\) | −7.72723e9 | − | 1.33840e10i | −0.251323 | − | 0.435305i | ||||
\(993\) | −5.07095e10 | −1.64349 | ||||||||
\(994\) | −1.50100e9 | − | 2.59981e9i | −0.0484763 | − | 0.0839634i | ||||
\(995\) | −2.88580e10 | − | 4.99836e10i | −0.928723 | − | 1.60859i | ||||
\(996\) | 1.41159e10 | + | 2.44495e10i | 0.452690 | + | 0.784083i | ||||
\(997\) | 1.92240e10 | − | 3.32970e10i | 0.614344 | − | 1.06407i | −0.376155 | − | 0.926557i | \(-0.622754\pi\) |
0.990499 | − | 0.137518i | \(-0.0439125\pi\) | |||||||
\(998\) | −4.95686e10 | −1.57852 | ||||||||
\(999\) | −1.57843e10 | − | 3.04406e10i | −0.500895 | − | 0.965993i |
(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 | 37.8.c.a.10.20 | ✓ | 42 | |
37.26 | even | 3 | inner | 37.8.c.a.26.20 | yes | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
37.8.c.a.10.20 | ✓ | 42 | 1.1 | even | 1 | trivial | |
37.8.c.a.26.20 | yes | 42 | 37.26 | even | 3 | inner |