Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [37,7,Mod(2,37)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(37, base_ring=CyclotomicField(36))
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("37.2");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 37 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 37.i (of order \(36\), 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: | \(8.51200109393\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 2.4 | ||
Character | \(\chi\) | \(=\) | 37.2 |
Dual form | 37.7.i.a.19.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/37\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{36}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −8.95954 | − | 0.783858i | −1.11994 | − | 0.0979823i | −0.487888 | − | 0.872906i | \(-0.662233\pi\) |
−0.632055 | + | 0.774924i | \(0.717788\pi\) | |||||||
\(3\) | 21.0804 | − | 25.1226i | 0.780754 | − | 0.930467i | −0.218213 | − | 0.975901i | \(-0.570023\pi\) |
0.998967 | + | 0.0454344i | \(0.0144672\pi\) | |||||||
\(4\) | 16.6313 | + | 2.93254i | 0.259864 | + | 0.0458210i | ||||
\(5\) | 74.3976 | − | 159.546i | 0.595181 | − | 1.27637i | −0.345926 | − | 0.938262i | \(-0.612435\pi\) |
0.941107 | − | 0.338108i | \(-0.109787\pi\) | |||||||
\(6\) | −208.563 | + | 208.563i | −0.965569 | + | 0.965569i | ||||
\(7\) | 147.602 | − | 53.7227i | 0.430326 | − | 0.156626i | −0.117771 | − | 0.993041i | \(-0.537575\pi\) |
0.548097 | + | 0.836415i | \(0.315353\pi\) | |||||||
\(8\) | 409.278 | + | 109.666i | 0.799371 | + | 0.214191i | ||||
\(9\) | −60.1738 | − | 341.262i | −0.0825429 | − | 0.468124i | ||||
\(10\) | −791.630 | + | 1371.14i | −0.791630 | + | 1.37114i | ||||
\(11\) | 348.212 | − | 201.040i | 0.261617 | − | 0.151044i | −0.363455 | − | 0.931612i | \(-0.618403\pi\) |
0.625072 | + | 0.780567i | \(0.285070\pi\) | |||||||
\(12\) | 424.266 | − | 356.002i | 0.245525 | − | 0.206020i | ||||
\(13\) | −1232.83 | − | 1760.66i | −0.561143 | − | 0.801395i | 0.433888 | − | 0.900967i | \(-0.357142\pi\) |
−0.995030 | + | 0.0995721i | \(0.968253\pi\) | |||||||
\(14\) | −1364.56 | + | 365.632i | −0.497287 | + | 0.133248i | ||||
\(15\) | −2439.89 | − | 5232.35i | −0.722929 | − | 1.55033i | ||||
\(16\) | −4596.62 | − | 1673.03i | −1.12222 | − | 0.408455i | ||||
\(17\) | −2665.20 | − | 1866.19i | −0.542479 | − | 0.379848i | 0.269981 | − | 0.962866i | \(-0.412983\pi\) |
−0.812459 | + | 0.583018i | \(0.801872\pi\) | |||||||
\(18\) | 271.628 | + | 3104.72i | 0.0465755 | + | 0.532360i | ||||
\(19\) | −2573.12 | + | 225.119i | −0.375145 | + | 0.0328210i | −0.273170 | − | 0.961966i | \(-0.588072\pi\) |
−0.101976 | + | 0.994787i | \(0.532516\pi\) | |||||||
\(20\) | 1705.20 | − | 2435.28i | 0.213150 | − | 0.304410i | ||||
\(21\) | 1761.85 | − | 4840.64i | 0.190244 | − | 0.522691i | ||||
\(22\) | −3277.41 | + | 1528.28i | −0.307795 | + | 0.143527i | ||||
\(23\) | −1216.04 | − | 4538.32i | −0.0999457 | − | 0.373002i | 0.897777 | − | 0.440450i | \(-0.145181\pi\) |
−0.997723 | + | 0.0674477i | \(0.978514\pi\) | |||||||
\(24\) | 11382.8 | − | 7970.34i | 0.823410 | − | 0.576558i | ||||
\(25\) | −9876.43 | − | 11770.3i | −0.632091 | − | 0.753297i | ||||
\(26\) | 9665.49 | + | 16741.1i | 0.549925 | + | 0.952499i | ||||
\(27\) | 10862.8 | + | 6271.64i | 0.551888 | + | 0.318633i | ||||
\(28\) | 2612.35 | − | 460.628i | 0.119003 | − | 0.0209834i | ||||
\(29\) | −10334.6 | + | 38569.2i | −0.423739 | + | 1.58142i | 0.342921 | + | 0.939364i | \(0.388584\pi\) |
−0.766660 | + | 0.642053i | \(0.778083\pi\) | |||||||
\(30\) | 17758.8 | + | 48792.0i | 0.657735 | + | 1.80711i | ||||
\(31\) | 16557.7 | + | 16557.7i | 0.555795 | + | 0.555795i | 0.928107 | − | 0.372312i | \(-0.121435\pi\) |
−0.372312 | + | 0.928107i | \(0.621435\pi\) | |||||||
\(32\) | 15295.1 | + | 7132.23i | 0.466770 | + | 0.217658i | ||||
\(33\) | 2289.78 | − | 12986.0i | 0.0637165 | − | 0.361354i | ||||
\(34\) | 22416.1 | + | 18809.4i | 0.570327 | + | 0.478561i | ||||
\(35\) | 2409.98 | − | 27546.2i | 0.0562094 | − | 0.642476i | ||||
\(36\) | − | 5852.09i | − | 0.125431i | ||||||
\(37\) | −8724.70 | − | 49896.0i | −0.172245 | − | 0.985054i | ||||
\(38\) | 23230.5 | 0.423357 | ||||||||
\(39\) | −70221.0 | − | 6143.54i | −1.18379 | − | 0.103568i | ||||
\(40\) | 47946.1 | − | 57139.9i | 0.749157 | − | 0.892811i | ||||
\(41\) | −36903.0 | − | 6507.00i | −0.535440 | − | 0.0944125i | −0.100611 | − | 0.994926i | \(-0.532080\pi\) |
−0.434828 | + | 0.900513i | \(0.643191\pi\) | |||||||
\(42\) | −19579.7 | + | 41988.9i | −0.264277 | + | 0.566743i | ||||
\(43\) | 76062.3 | − | 76062.3i | 0.956675 | − | 0.956675i | −0.0424250 | − | 0.999100i | \(-0.513508\pi\) |
0.999100 | + | 0.0424250i | \(0.0135083\pi\) | |||||||
\(44\) | 6380.77 | − | 2322.41i | 0.0749057 | − | 0.0272634i | ||||
\(45\) | −58923.9 | − | 15788.6i | −0.646627 | − | 0.173263i | ||||
\(46\) | 7337.75 | + | 41614.5i | 0.0753858 | + | 0.427534i | ||||
\(47\) | 11539.3 | − | 19986.6i | 0.111144 | − | 0.192506i | −0.805088 | − | 0.593155i | \(-0.797882\pi\) |
0.916232 | + | 0.400649i | \(0.131215\pi\) | |||||||
\(48\) | −138929. | + | 80210.9i | −1.25623 | + | 0.725287i | ||||
\(49\) | −71224.2 | + | 59764.2i | −0.605395 | + | 0.507987i | ||||
\(50\) | 79262.0 | + | 113198.i | 0.634096 | + | 0.905583i | ||||
\(51\) | −103067. | + | 27616.7i | −0.776978 | + | 0.208191i | ||||
\(52\) | −15340.3 | − | 32897.4i | −0.109100 | − | 0.233966i | ||||
\(53\) | 162869. | + | 59279.6i | 1.09399 | + | 0.398179i | 0.825096 | − | 0.564992i | \(-0.191121\pi\) |
0.268890 | + | 0.963171i | \(0.413343\pi\) | |||||||
\(54\) | −92409.7 | − | 64706.0i | −0.586862 | − | 0.410925i | ||||
\(55\) | −6169.07 | − | 70512.8i | −0.0370793 | − | 0.423818i | ||||
\(56\) | 66301.8 | − | 5800.65i | 0.377538 | − | 0.0330303i | ||||
\(57\) | −48586.8 | + | 69389.1i | −0.262358 | + | 0.374685i | ||||
\(58\) | 122826. | − | 337461.i | 0.629515 | − | 1.72958i | ||||
\(59\) | −140692. | + | 65605.8i | −0.685037 | + | 0.319438i | −0.733793 | − | 0.679373i | \(-0.762252\pi\) |
0.0487566 | + | 0.998811i | \(0.484474\pi\) | |||||||
\(60\) | −25234.3 | − | 94175.8i | −0.116826 | − | 0.435999i | ||||
\(61\) | 336449. | − | 235584.i | 1.48228 | − | 1.03790i | 0.496847 | − | 0.867838i | \(-0.334491\pi\) |
0.985433 | − | 0.170065i | \(-0.0543979\pi\) | |||||||
\(62\) | −135370. | − | 161328.i | −0.568001 | − | 0.676917i | ||||
\(63\) | −27215.3 | − | 47138.3i | −0.108841 | − | 0.188518i | ||||
\(64\) | 139675. | + | 80641.2i | 0.532816 | + | 0.307622i | ||||
\(65\) | −372627. | + | 65704.2i | −1.35686 | + | 0.239251i | ||||
\(66\) | −30694.6 | + | 114554.i | −0.106765 | + | 0.398453i | ||||
\(67\) | 161937. | + | 444919.i | 0.538421 | + | 1.47930i | 0.848814 | + | 0.528692i | \(0.177317\pi\) |
−0.310393 | + | 0.950608i | \(0.600461\pi\) | |||||||
\(68\) | −38852.9 | − | 38852.9i | −0.123565 | − | 0.123565i | ||||
\(69\) | −139649. | − | 65119.4i | −0.425099 | − | 0.198227i | ||||
\(70\) | −43184.6 | + | 244912.i | −0.125903 | + | 0.714029i | ||||
\(71\) | −37425.7 | − | 31403.9i | −0.104567 | − | 0.0877422i | 0.589005 | − | 0.808129i | \(-0.299520\pi\) |
−0.693572 | + | 0.720387i | \(0.743964\pi\) | |||||||
\(72\) | 12797.0 | − | 146270.i | 0.0342855 | − | 0.391885i | ||||
\(73\) | − | 602585.i | − | 1.54899i | −0.632578 | − | 0.774496i | \(-0.718003\pi\) | ||
0.632578 | − | 0.774496i | \(-0.281997\pi\) | |||||||
\(74\) | 39058.0 | + | 453884.i | 0.0963862 | + | 1.12008i | ||||
\(75\) | −503898. | −1.19443 | ||||||||
\(76\) | −43454.5 | − | 3801.77i | −0.0989905 | − | 0.00866055i | ||||
\(77\) | 40596.3 | − | 48380.8i | 0.0889231 | − | 0.105974i | ||||
\(78\) | 624332. | + | 110087.i | 1.31562 | + | 0.231980i | ||||
\(79\) | 321121. | − | 688646.i | 0.651310 | − | 1.39674i | −0.251991 | − | 0.967730i | \(-0.581085\pi\) |
0.903300 | − | 0.429009i | \(-0.141137\pi\) | |||||||
\(80\) | −608904. | + | 608904.i | −1.18927 | + | 1.18927i | ||||
\(81\) | 623935. | − | 227094.i | 1.17404 | − | 0.427317i | ||||
\(82\) | 325534. | + | 87226.5i | 0.590411 | + | 0.158200i | ||||
\(83\) | −83012.3 | − | 470786.i | −0.145180 | − | 0.823359i | −0.967222 | − | 0.253932i | \(-0.918276\pi\) |
0.822042 | − | 0.569427i | \(-0.192835\pi\) | |||||||
\(84\) | 43497.2 | − | 75339.3i | 0.0733876 | − | 0.127111i | ||||
\(85\) | −496028. | + | 286382.i | −0.807699 | + | 0.466325i | ||||
\(86\) | −741106. | + | 621862.i | −1.16516 | + | 0.977684i | ||||
\(87\) | 751102. | + | 1.07268e6i | 1.14062 | + | 1.62897i | ||||
\(88\) | 164563. | − | 44094.4i | 0.241481 | − | 0.0647047i | ||||
\(89\) | 388275. | + | 832657.i | 0.550768 | + | 1.18113i | 0.962864 | + | 0.269986i | \(0.0870190\pi\) |
−0.412096 | + | 0.911140i | \(0.635203\pi\) | |||||||
\(90\) | 515555. | + | 187647.i | 0.707209 | + | 0.257403i | ||||
\(91\) | −276556. | − | 193646.i | −0.366994 | − | 0.256972i | ||||
\(92\) | −6915.46 | − | 79044.1i | −0.00888092 | − | 0.101509i | ||||
\(93\) | 765015. | − | 66930.1i | 0.951088 | − | 0.0832094i | ||||
\(94\) | −119053. | + | 170025.i | −0.143337 | + | 0.204706i | ||||
\(95\) | −155517. | + | 427280.i | −0.181388 | + | 0.498358i | ||||
\(96\) | 501607. | − | 233903.i | 0.566957 | − | 0.264376i | ||||
\(97\) | −312431. | − | 1.16601e6i | −0.342326 | − | 1.27758i | −0.895706 | − | 0.444648i | \(-0.853329\pi\) |
0.553380 | − | 0.832929i | \(-0.313338\pi\) | |||||||
\(98\) | 684983. | − | 479630.i | 0.727782 | − | 0.509598i | ||||
\(99\) | −89560.7 | − | 106734.i | −0.0923022 | − | 0.110001i | ||||
\(100\) | −129741. | − | 224718.i | −0.129741 | − | 0.224718i | ||||
\(101\) | 82793.4 | + | 47800.8i | 0.0803584 | + | 0.0463950i | 0.539641 | − | 0.841895i | \(-0.318560\pi\) |
−0.459282 | + | 0.888290i | \(0.651893\pi\) | |||||||
\(102\) | 945080. | − | 166643.i | 0.890570 | − | 0.157032i | ||||
\(103\) | −241124. | + | 899886.i | −0.220662 | + | 0.823523i | 0.763434 | + | 0.645886i | \(0.223512\pi\) |
−0.984096 | + | 0.177637i | \(0.943155\pi\) | |||||||
\(104\) | −311486. | − | 855801.i | −0.276910 | − | 0.760804i | ||||
\(105\) | −641228. | − | 641228.i | −0.553917 | − | 0.553917i | ||||
\(106\) | −1.41277e6 | − | 658785.i | −1.18619 | − | 0.553129i | ||||
\(107\) | −245377. | + | 1.39160e6i | −0.200301 | + | 1.13596i | 0.704363 | + | 0.709840i | \(0.251233\pi\) |
−0.904665 | + | 0.426124i | \(0.859879\pi\) | |||||||
\(108\) | 162270. | + | 136161.i | 0.128816 | + | 0.108089i | ||||
\(109\) | 66748.8 | − | 762942.i | 0.0515423 | − | 0.589131i | −0.925877 | − | 0.377824i | \(-0.876672\pi\) |
0.977420 | − | 0.211307i | \(-0.0677720\pi\) | |||||||
\(110\) | 636598.i | 0.478286i | ||||||||
\(111\) | −1.43744e6 | − | 832638.i | −1.05104 | − | 0.608817i | ||||
\(112\) | −768350. | −0.546896 | ||||||||
\(113\) | 1.99514e6 | + | 174552.i | 1.38273 | + | 0.120973i | 0.754115 | − | 0.656742i | \(-0.228066\pi\) |
0.628617 | + | 0.777715i | \(0.283621\pi\) | |||||||
\(114\) | 489707. | − | 583610.i | 0.330538 | − | 0.393920i | ||||
\(115\) | −814542. | − | 143626.i | −0.535575 | − | 0.0944362i | ||||
\(116\) | −284983. | + | 611148.i | −0.182577 | + | 0.391537i | ||||
\(117\) | −526665. | + | 526665.i | −0.328834 | + | 0.328834i | ||||
\(118\) | 1.31196e6 | − | 477515.i | 0.798501 | − | 0.290631i | ||||
\(119\) | −493645. | − | 132272.i | −0.292937 | − | 0.0784922i | ||||
\(120\) | −424782. | − | 2.40906e6i | −0.245823 | − | 1.39413i | ||||
\(121\) | −804946. | + | 1.39421e6i | −0.454371 | + | 0.786994i | ||||
\(122\) | −3.19910e6 | + | 1.84700e6i | −1.76176 | + | 1.01716i | ||||
\(123\) | −941402. | + | 789930.i | −0.505895 | + | 0.424496i | ||||
\(124\) | 226819. | + | 323932.i | 0.118964 | + | 0.169898i | ||||
\(125\) | 44212.2 | − | 11846.6i | 0.0226366 | − | 0.00606547i | ||||
\(126\) | 206887. | + | 443671.i | 0.103424 | + | 0.221794i | ||||
\(127\) | −899140. | − | 327260.i | −0.438951 | − | 0.159765i | 0.113085 | − | 0.993585i | \(-0.463927\pi\) |
−0.552036 | + | 0.833820i | \(0.686149\pi\) | |||||||
\(128\) | −2.07296e6 | − | 1.45150e6i | −0.988465 | − | 0.692131i | ||||
\(129\) | −307462. | − | 3.51431e6i | −0.143226 | − | 1.63708i | ||||
\(130\) | 3.39007e6 | − | 296593.i | 1.54305 | − | 0.134999i | ||||
\(131\) | 62192.0 | − | 88819.4i | 0.0276644 | − | 0.0395088i | −0.805082 | − | 0.593164i | \(-0.797879\pi\) |
0.832746 | + | 0.553655i | \(0.186767\pi\) | |||||||
\(132\) | 76163.9 | − | 209259.i | 0.0331152 | − | 0.0909833i | ||||
\(133\) | −367704. | + | 171463.i | −0.156294 | + | 0.0728812i | ||||
\(134\) | −1.10213e6 | − | 4.11320e6i | −0.458056 | − | 1.70949i | ||||
\(135\) | 1.80878e6 | − | 1.26652e6i | 0.735166 | − | 0.514769i | ||||
\(136\) | −886150. | − | 1.05607e6i | −0.352282 | − | 0.419833i | ||||
\(137\) | 2.01201e6 | + | 3.48490e6i | 0.782470 | + | 1.35528i | 0.930499 | + | 0.366294i | \(0.119374\pi\) |
−0.148029 | + | 0.988983i | \(0.547293\pi\) | |||||||
\(138\) | 1.20015e6 | + | 692905.i | 0.456664 | + | 0.263655i | ||||
\(139\) | 2.25773e6 | − | 398098.i | 0.840672 | − | 0.148233i | 0.263300 | − | 0.964714i | \(-0.415189\pi\) |
0.577372 | + | 0.816481i | \(0.304078\pi\) | |||||||
\(140\) | 120861. | − | 451060.i | 0.0440456 | − | 0.164381i | ||||
\(141\) | −258863. | − | 711221.i | −0.0923449 | − | 0.253715i | ||||
\(142\) | 310701. | + | 310701.i | 0.108512 | + | 0.108512i | ||||
\(143\) | −783251. | − | 365236.i | −0.267851 | − | 0.124901i | ||||
\(144\) | −294347. | + | 1.66933e6i | −0.0985764 | + | 0.559054i | ||||
\(145\) | 5.38470e6 | + | 4.51830e6i | 1.76627 | + | 1.48208i | ||||
\(146\) | −472341. | + | 5.39888e6i | −0.151774 | + | 1.73478i | ||||
\(147\) | 3.04919e6i | 0.959913i | ||||||||
\(148\) | 1219.05 | − | 855419.i | 0.000376041 | − | 0.263872i | ||||
\(149\) | −582711. | −0.176155 | −0.0880773 | − | 0.996114i | \(-0.528072\pi\) | ||||
−0.0880773 | + | 0.996114i | \(0.528072\pi\) | |||||||
\(150\) | 4.51470e6 | + | 394985.i | 1.33769 | + | 0.117033i | ||||
\(151\) | −553030. | + | 659076.i | −0.160627 | + | 0.191428i | −0.840355 | − | 0.542037i | \(-0.817653\pi\) |
0.679728 | + | 0.733464i | \(0.262098\pi\) | |||||||
\(152\) | −1.07781e6 | − | 190047.i | −0.306910 | − | 0.0541166i | ||||
\(153\) | −476486. | + | 1.02183e6i | −0.133038 | + | 0.285301i | ||||
\(154\) | −401648. | + | 401648.i | −0.109972 | + | 0.109972i | ||||
\(155\) | 3.87357e6 | − | 1.40986e6i | 1.04020 | − | 0.378601i | ||||
\(156\) | −1.14985e6 | − | 308101.i | −0.302877 | − | 0.0811557i | ||||
\(157\) | 794132. | + | 4.50374e6i | 0.205208 | + | 1.16379i | 0.897113 | + | 0.441802i | \(0.145661\pi\) |
−0.691905 | + | 0.721988i | \(0.743228\pi\) | |||||||
\(158\) | −3.41690e6 | + | 5.91824e6i | −0.866285 | + | 1.50045i | ||||
\(159\) | 4.92261e6 | − | 2.84207e6i | 1.22463 | − | 0.707039i | ||||
\(160\) | 2.27584e6 | − | 1.90966e6i | 0.555625 | − | 0.466225i | ||||
\(161\) | −423300. | − | 604536.i | −0.101431 | − | 0.144859i | ||||
\(162\) | −5.76819e6 | + | 1.54558e6i | −1.35673 | + | 0.363535i | ||||
\(163\) | −2.51835e6 | − | 5.40062e6i | −0.581505 | − | 1.24704i | −0.948488 | − | 0.316814i | \(-0.897387\pi\) |
0.366982 | − | 0.930228i | \(-0.380391\pi\) | |||||||
\(164\) | −594662. | − | 216439.i | −0.134815 | − | 0.0490687i | ||||
\(165\) | −1.90151e6 | − | 1.33145e6i | −0.423299 | − | 0.296397i | ||||
\(166\) | 374722. | + | 4.28310e6i | 0.0819191 | + | 0.936340i | ||||
\(167\) | 1.38773e6 | − | 121411.i | 0.297959 | − | 0.0260680i | 0.0628038 | − | 0.998026i | \(-0.479996\pi\) |
0.235155 | + | 0.971958i | \(0.424440\pi\) | |||||||
\(168\) | 1.25194e6 | − | 1.78795e6i | 0.264031 | − | 0.377075i | ||||
\(169\) | 70797.2 | − | 194514.i | 0.0146675 | − | 0.0402986i | ||||
\(170\) | 4.66867e6 | − | 2.17704e6i | 0.950268 | − | 0.443117i | ||||
\(171\) | 231659. | + | 864564.i | 0.0463299 | + | 0.172905i | ||||
\(172\) | 1.48807e6 | − | 1.04196e6i | 0.292441 | − | 0.204769i | ||||
\(173\) | 2.72930e6 | + | 3.25265e6i | 0.527124 | + | 0.628202i | 0.962250 | − | 0.272168i | \(-0.0877405\pi\) |
−0.435126 | + | 0.900370i | \(0.643296\pi\) | |||||||
\(174\) | −5.88869e6 | − | 1.01995e7i | −1.11782 | − | 1.93612i | ||||
\(175\) | −2.09011e6 | − | 1.20673e6i | −0.389991 | − | 0.225162i | ||||
\(176\) | −1.93695e6 | + | 341536.i | −0.355287 | + | 0.0626467i | ||||
\(177\) | −1.31765e6 | + | 4.91755e6i | −0.237619 | + | 0.886806i | ||||
\(178\) | −2.82608e6 | − | 7.76458e6i | −0.501099 | − | 1.37676i | ||||
\(179\) | −2.77840e6 | − | 2.77840e6i | −0.484435 | − | 0.484435i | 0.422110 | − | 0.906545i | \(-0.361290\pi\) |
−0.906545 | + | 0.422110i | \(0.861290\pi\) | |||||||
\(180\) | −933679. | − | 435382.i | −0.160096 | − | 0.0746539i | ||||
\(181\) | −1.88517e6 | + | 1.06913e7i | −0.317918 | + | 1.80300i | 0.237451 | + | 0.971400i | \(0.423688\pi\) |
−0.555369 | + | 0.831604i | \(0.687423\pi\) | |||||||
\(182\) | 2.32602e6 | + | 1.95176e6i | 0.385833 | + | 0.323753i | ||||
\(183\) | 1.17398e6 | − | 1.34187e7i | 0.191562 | − | 2.18956i | ||||
\(184\) | − | 1.99079e6i | − | 0.319575i | ||||||
\(185\) | −8.60981e6 | − | 2.32015e6i | −1.35981 | − | 0.366438i | ||||
\(186\) | −6.90664e6 | −1.07332 | ||||||||
\(187\) | −1.30323e6 | − | 114018.i | −0.199295 | − | 0.0174361i | ||||
\(188\) | 250524. | − | 298563.i | 0.0377030 | − | 0.0449327i | ||||
\(189\) | 1.94030e6 | + | 342127.i | 0.287398 | + | 0.0506760i | ||||
\(190\) | 1.72829e6 | − | 3.70633e6i | 0.251974 | − | 0.540360i | ||||
\(191\) | 9.21660e6 | − | 9.21660e6i | 1.32273 | − | 1.32273i | 0.411169 | − | 0.911559i | \(-0.365121\pi\) |
0.911559 | − | 0.411169i | \(-0.134879\pi\) | |||||||
\(192\) | 4.97031e6 | − | 1.80904e6i | 0.702230 | − | 0.255591i | ||||
\(193\) | 431736. | + | 115683.i | 0.0600546 | + | 0.0160916i | 0.288721 | − | 0.957413i | \(-0.406770\pi\) |
−0.228667 | + | 0.973505i | \(0.573437\pi\) | |||||||
\(194\) | 1.88526e6 | + | 1.06918e7i | 0.258205 | + | 1.46435i | ||||
\(195\) | −6.20445e6 | + | 1.07464e7i | −0.836758 | + | 1.44931i | ||||
\(196\) | −1.35981e6 | + | 785086.i | −0.180597 | + | 0.104268i | ||||
\(197\) | −5.01394e6 | + | 4.20719e6i | −0.655813 | + | 0.550292i | −0.908829 | − | 0.417170i | \(-0.863022\pi\) |
0.253016 | + | 0.967462i | \(0.418578\pi\) | |||||||
\(198\) | 718758. | + | 1.02649e6i | 0.0925950 | + | 0.132239i | ||||
\(199\) | −2.33335e6 | + | 625219.i | −0.296088 | + | 0.0793365i | −0.403805 | − | 0.914845i | \(-0.632313\pi\) |
0.107717 | + | 0.994182i | \(0.465646\pi\) | |||||||
\(200\) | −2.75141e6 | − | 5.90042e6i | −0.343926 | − | 0.737552i | ||||
\(201\) | 1.45912e7 | + | 5.31077e6i | 1.79681 | + | 0.653987i | ||||
\(202\) | −704322. | − | 493171.i | −0.0854510 | − | 0.0598334i | ||||
\(203\) | 546637. | + | 6.24809e6i | 0.0653448 | + | 0.746894i | ||||
\(204\) | −1.79512e6 | + | 157053.i | −0.211448 | + | 0.0184993i | ||||
\(205\) | −3.78367e6 | + | 5.40363e6i | −0.439189 | + | 0.627226i | ||||
\(206\) | 2.86574e6 | − | 7.87356e6i | 0.327820 | − | 0.900678i | ||||
\(207\) | −1.47558e6 | + | 688076.i | −0.166362 | + | 0.0775757i | ||||
\(208\) | 2.72121e6 | + | 1.01557e7i | 0.302393 | + | 1.12854i | ||||
\(209\) | −850734. | + | 595690.i | −0.0931869 | + | 0.0652502i | ||||
\(210\) | 5.24248e6 | + | 6.24774e6i | 0.566081 | + | 0.674629i | ||||
\(211\) | −6.71518e6 | − | 1.16310e7i | −0.714843 | − | 1.23814i | −0.963020 | − | 0.269429i | \(-0.913165\pi\) |
0.248177 | − | 0.968715i | \(-0.420168\pi\) | |||||||
\(212\) | 2.53489e6 | + | 1.46352e6i | 0.266042 | + | 0.153600i | ||||
\(213\) | −1.57789e6 | + | 278225.i | −0.163282 | + | 0.0287911i | ||||
\(214\) | 3.28929e6 | − | 1.22758e7i | 0.335630 | − | 1.25259i | ||||
\(215\) | −6.47660e6 | − | 1.77943e7i | −0.651676 | − | 1.79046i | ||||
\(216\) | 3.75812e6 | + | 3.75812e6i | 0.372915 | + | 0.372915i | ||||
\(217\) | 3.33347e6 | + | 1.55442e6i | 0.326225 | + | 0.152121i | ||||
\(218\) | −1.19608e6 | + | 6.78329e6i | −0.115449 | + | 0.654743i | ||||
\(219\) | −1.51385e7 | − | 1.27027e7i | −1.44129 | − | 1.20938i | ||||
\(220\) | 104182. | − | 1.19081e6i | 0.00978421 | − | 0.111834i | ||||
\(221\) | 6.99322e6i | 0.647888i | ||||||||
\(222\) | 1.22261e7 | + | 8.58680e6i | 1.11745 | + | 0.784824i | ||||
\(223\) | 1.22292e7 | 1.10277 | 0.551383 | − | 0.834252i | \(-0.314100\pi\) | ||||
0.551383 | + | 0.834252i | \(0.314100\pi\) | |||||||
\(224\) | 2.64075e6 | + | 231036.i | 0.234954 | + | 0.0205558i | ||||
\(225\) | −3.42245e6 | + | 4.07872e6i | −0.300462 | + | 0.358077i | ||||
\(226\) | −1.77387e7 | − | 3.12781e6i | −1.53673 | − | 0.270967i | ||||
\(227\) | −313196. | + | 671652.i | −0.0267756 | + | 0.0574204i | −0.919241 | − | 0.393696i | \(-0.871196\pi\) |
0.892465 | + | 0.451116i | \(0.148974\pi\) | |||||||
\(228\) | −1.01155e6 | + | 1.01155e6i | −0.0853456 | + | 0.0853456i | ||||
\(229\) | 1.01980e7 | − | 3.71178e6i | 0.849200 | − | 0.309083i | 0.119486 | − | 0.992836i | \(-0.461875\pi\) |
0.729714 | + | 0.683753i | \(0.239653\pi\) | |||||||
\(230\) | 7.18534e6 | + | 1.92531e6i | 0.590560 | + | 0.158240i | ||||
\(231\) | −359667. | − | 2.03977e6i | −0.0291786 | − | 0.165480i | ||||
\(232\) | −8.45943e6 | + | 1.46522e7i | −0.677450 | + | 1.17338i | ||||
\(233\) | 169550. | − | 97890.0i | 0.0134039 | − | 0.00773875i | −0.493283 | − | 0.869869i | \(-0.664203\pi\) |
0.506687 | + | 0.862130i | \(0.330870\pi\) | |||||||
\(234\) | 5.13151e6 | − | 4.30584e6i | 0.400495 | − | 0.336055i | ||||
\(235\) | −2.33029e6 | − | 3.32800e6i | −0.179559 | − | 0.256436i | ||||
\(236\) | −2.53228e6 | + | 678523.i | −0.192653 | + | 0.0516212i | ||||
\(237\) | −1.05312e7 | − | 2.25843e7i | −0.791106 | − | 1.69653i | ||||
\(238\) | 4.31915e6 | + | 1.57204e6i | 0.320382 | + | 0.116609i | ||||
\(239\) | −4.38364e6 | − | 3.06946e6i | −0.321101 | − | 0.224837i | 0.401902 | − | 0.915683i | \(-0.368349\pi\) |
−0.723002 | + | 0.690846i | \(0.757238\pi\) | |||||||
\(240\) | 2.46133e6 | + | 2.81332e7i | 0.178048 | + | 2.03510i | ||||
\(241\) | −3.17302e6 | + | 277603.i | −0.226684 | + | 0.0198323i | −0.199932 | − | 0.979810i | \(-0.564072\pi\) |
−0.0267524 | + | 0.999642i | \(0.508517\pi\) | |||||||
\(242\) | 8.30481e6 | − | 1.18605e7i | 0.585981 | − | 0.836868i | ||||
\(243\) | 4.32015e6 | − | 1.18695e7i | 0.301078 | − | 0.827206i | ||||
\(244\) | 6.28644e6 | − | 2.93142e6i | 0.432748 | − | 0.201794i | ||||
\(245\) | 4.23624e6 | + | 1.58099e7i | 0.288059 | + | 1.07505i | ||||
\(246\) | 9.05373e6 | − | 6.33949e6i | 0.608166 | − | 0.425842i | ||||
\(247\) | 3.56858e6 | + | 4.25287e6i | 0.236813 | + | 0.282222i | ||||
\(248\) | 4.96089e6 | + | 8.59251e6i | 0.325240 | + | 0.563333i | ||||
\(249\) | −1.35773e7 | − | 7.83886e6i | −0.879458 | − | 0.507756i | ||||
\(250\) | −405407. | + | 71484.2i | −0.0259460 | + | 0.00457499i | ||||
\(251\) | −2.54440e6 | + | 9.49582e6i | −0.160903 | + | 0.600498i | 0.837624 | + | 0.546247i | \(0.183944\pi\) |
−0.998527 | + | 0.0542511i | \(0.982723\pi\) | |||||||
\(252\) | −314390. | − | 863780.i | −0.0196457 | − | 0.0539761i | ||||
\(253\) | −1.33582e6 | − | 1.33582e6i | −0.0824874 | − | 0.0824874i | ||||
\(254\) | 7.79936e6 | + | 3.63690e6i | 0.475946 | + | 0.221937i | ||||
\(255\) | −3.26179e6 | + | 1.84986e7i | −0.196714 | + | 1.11562i | ||||
\(256\) | 9.52785e6 | + | 7.99482e6i | 0.567904 | + | 0.476528i | ||||
\(257\) | 860040. | − | 9.83030e6i | 0.0506663 | − | 0.579119i | −0.927851 | − | 0.372952i | \(-0.878346\pi\) |
0.978517 | − | 0.206166i | \(-0.0660988\pi\) | |||||||
\(258\) | 3.17276e7i | 1.84747i | ||||||||
\(259\) | −3.96833e6 | − | 6.89602e6i | −0.228406 | − | 0.396917i | ||||
\(260\) | −6.38994e6 | −0.363561 | ||||||||
\(261\) | 1.37841e7 | + | 1.20595e6i | 0.775276 | + | 0.0678279i | ||||
\(262\) | −626834. | + | 747031.i | −0.0348537 | + | 0.0415370i | ||||
\(263\) | −2.39943e7 | − | 4.23085e6i | −1.31899 | − | 0.232574i | −0.530534 | − | 0.847664i | \(-0.678008\pi\) |
−0.788457 | + | 0.615090i | \(0.789120\pi\) | |||||||
\(264\) | 2.36127e6 | − | 5.06377e6i | 0.128332 | − | 0.275209i | ||||
\(265\) | 2.15749e7 | − | 2.15749e7i | 1.15934 | − | 1.15934i | ||||
\(266\) | 3.42886e6 | − | 1.24800e6i | 0.182182 | − | 0.0663087i | ||||
\(267\) | 2.91035e7 | + | 7.79826e6i | 1.52901 | + | 0.409698i | ||||
\(268\) | 1.38848e6 | + | 7.87445e6i | 0.0721331 | + | 0.409087i | ||||
\(269\) | −6.65457e6 | + | 1.15261e7i | −0.341872 | + | 0.592139i | −0.984780 | − | 0.173804i | \(-0.944394\pi\) |
0.642909 | + | 0.765943i | \(0.277728\pi\) | |||||||
\(270\) | −1.71987e7 | + | 9.92965e6i | −0.873782 | + | 0.504478i | ||||
\(271\) | 7.93837e6 | − | 6.66108e6i | 0.398863 | − | 0.334686i | −0.421191 | − | 0.906972i | \(-0.638388\pi\) |
0.820054 | + | 0.572286i | \(0.193943\pi\) | |||||||
\(272\) | 9.12870e6 | + | 1.30371e7i | 0.453631 | + | 0.647852i | ||||
\(273\) | −1.06948e7 | + | 2.86566e6i | −0.525636 | + | 0.140844i | ||||
\(274\) | −1.52950e7 | − | 3.28002e7i | −0.743528 | − | 1.59450i | ||||
\(275\) | −5.80539e6 | − | 2.11299e6i | −0.279147 | − | 0.101601i | ||||
\(276\) | −2.13157e6 | − | 1.49254e6i | −0.101385 | − | 0.0709905i | ||||
\(277\) | 480906. | + | 5.49678e6i | 0.0226267 | + | 0.258624i | 0.999080 | + | 0.0428937i | \(0.0136577\pi\) |
−0.976453 | + | 0.215730i | \(0.930787\pi\) | |||||||
\(278\) | −2.05402e7 | + | 1.79704e6i | −0.956029 | + | 0.0836417i | ||||
\(279\) | 4.65418e6 | − | 6.64686e6i | 0.214304 | − | 0.306058i | ||||
\(280\) | 4.00722e6 | − | 1.10097e7i | 0.182545 | − | 0.501537i | ||||
\(281\) | 3.16462e7 | − | 1.47569e7i | 1.42627 | − | 0.665082i | 0.452324 | − | 0.891854i | \(-0.350595\pi\) |
0.973948 | + | 0.226772i | \(0.0728172\pi\) | |||||||
\(282\) | 1.76180e6 | + | 6.57512e6i | 0.0785614 | + | 0.293195i | ||||
\(283\) | −2.39444e7 | + | 1.67660e7i | −1.05644 | + | 0.739726i | −0.966615 | − | 0.256232i | \(-0.917519\pi\) |
−0.0898225 | + | 0.995958i | \(0.528630\pi\) | |||||||
\(284\) | −530344. | − | 632039.i | −0.0231527 | − | 0.0275924i | ||||
\(285\) | 7.45603e6 | + | 1.29142e7i | 0.322087 | + | 0.557871i | ||||
\(286\) | 6.73128e6 | + | 3.88630e6i | 0.287739 | + | 0.166126i | ||||
\(287\) | −5.79653e6 | + | 1.02209e6i | −0.245201 | + | 0.0432356i | ||||
\(288\) | 1.51360e6 | − | 5.64882e6i | 0.0633626 | − | 0.236472i | ||||
\(289\) | −4.63493e6 | − | 1.27344e7i | −0.192021 | − | 0.527574i | ||||
\(290\) | −4.47027e7 | − | 4.47027e7i | −1.83291 | − | 1.83291i | ||||
\(291\) | −3.58794e7 | − | 1.67308e7i | −1.45601 | − | 0.678951i | ||||
\(292\) | 1.76710e6 | − | 1.00217e7i | 0.0709764 | − | 0.402527i | ||||
\(293\) | 1.70754e7 | + | 1.43280e7i | 0.678842 | + | 0.569616i | 0.915668 | − | 0.401936i | \(-0.131662\pi\) |
−0.236825 | + | 0.971552i | \(0.576107\pi\) | |||||||
\(294\) | 2.39013e6 | − | 2.73193e7i | 0.0940545 | − | 1.07505i | ||||
\(295\) | 2.73278e7i | 1.06448i | ||||||||
\(296\) | 1.90105e6 | − | 2.13781e7i | 0.0733023 | − | 0.824317i | ||||
\(297\) | 5.04341e6 | 0.192511 | ||||||||
\(298\) | 5.22082e6 | + | 456763.i | 0.197283 | + | 0.0172600i | ||||
\(299\) | −6.49129e6 | + | 7.73602e6i | −0.242838 | + | 0.289404i | ||||
\(300\) | −8.38047e6 | − | 1.47770e6i | −0.310388 | − | 0.0547297i | ||||
\(301\) | 7.14067e6 | − | 1.53132e7i | 0.261842 | − | 0.561522i | ||||
\(302\) | 5.47152e6 | − | 5.47152e6i | 0.198649 | − | 0.198649i | ||||
\(303\) | 2.94619e6 | − | 1.07233e6i | 0.105909 | − | 0.0385478i | ||||
\(304\) | 1.22043e7 | + | 3.27013e6i | 0.434402 | + | 0.116398i | ||||
\(305\) | −1.25556e7 | − | 7.12061e7i | −0.442524 | − | 2.50968i | ||||
\(306\) | 5.07007e6 | − | 8.78161e6i | 0.176949 | − | 0.306485i | ||||
\(307\) | −4.16564e7 | + | 2.40504e7i | −1.43968 | + | 0.831202i | −0.997827 | − | 0.0658843i | \(-0.979013\pi\) |
−0.441856 | + | 0.897086i | \(0.645680\pi\) | |||||||
\(308\) | 817047. | − | 685584.i | 0.0279637 | − | 0.0234643i | ||||
\(309\) | 1.75245e7 | + | 2.50276e7i | 0.593978 | + | 0.848289i | ||||
\(310\) | −3.58105e7 | + | 9.59541e6i | −1.20206 | + | 0.322091i | ||||
\(311\) | 4.09726e6 | + | 8.78661e6i | 0.136211 | + | 0.292106i | 0.962568 | − | 0.271042i | \(-0.0873681\pi\) |
−0.826356 | + | 0.563147i | \(0.809590\pi\) | |||||||
\(312\) | −2.80662e7 | − | 1.02153e7i | −0.924101 | − | 0.336345i | ||||
\(313\) | 2.43688e7 | + | 1.70632e7i | 0.794696 | + | 0.556452i | 0.898926 | − | 0.438101i | \(-0.144349\pi\) |
−0.104229 | + | 0.994553i | \(0.533238\pi\) | |||||||
\(314\) | −3.58476e6 | − | 4.09740e7i | −0.115790 | − | 1.32349i | ||||
\(315\) | −9.54549e6 | + | 835122.i | −0.305398 | + | 0.0267189i | ||||
\(316\) | 7.36014e6 | − | 1.05114e7i | 0.233252 | − | 0.333118i | ||||
\(317\) | −1.50488e7 | + | 4.13463e7i | −0.472416 | + | 1.29795i | 0.443390 | + | 0.896329i | \(0.353776\pi\) |
−0.915805 | + | 0.401622i | \(0.868446\pi\) | |||||||
\(318\) | −4.63321e7 | + | 2.16050e7i | −1.44079 | + | 0.671851i | ||||
\(319\) | 4.15533e6 | + | 1.55079e7i | 0.128007 | + | 0.477729i | ||||
\(320\) | 2.32574e7 | − | 1.62850e7i | 0.709761 | − | 0.496980i | ||||
\(321\) | 2.97881e7 | + | 3.55001e7i | 0.900591 | + | 1.07328i | ||||
\(322\) | 3.31871e6 | + | 5.74817e6i | 0.0994034 | + | 0.172172i | ||||
\(323\) | 7.27799e6 | + | 4.20195e6i | 0.215975 | + | 0.124693i | ||||
\(324\) | 1.10428e7 | − | 1.94714e6i | 0.324672 | − | 0.0572484i | ||||
\(325\) | −8.54753e6 | + | 3.18998e7i | −0.248995 | + | 0.929262i | ||||
\(326\) | 1.83300e7 | + | 5.03612e7i | 0.529065 | + | 1.45359i | ||||
\(327\) | −1.77600e7 | − | 1.77600e7i | −0.507925 | − | 0.507925i | ||||
\(328\) | −1.43900e7 | − | 6.71017e6i | −0.407793 | − | 0.190157i | ||||
\(329\) | 629483. | − | 3.56998e6i | 0.0176765 | − | 0.100248i | ||||
\(330\) | 1.59930e7 | + | 1.34197e7i | 0.445029 | + | 0.373423i | ||||
\(331\) | −717045. | + | 8.19586e6i | −0.0197725 | + | 0.226001i | 0.979879 | + | 0.199594i | \(0.0639623\pi\) |
−0.999651 | + | 0.0264073i | \(0.991593\pi\) | |||||||
\(332\) | − | 8.07321e6i | − | 0.220613i | ||||||
\(333\) | −1.65026e7 | + | 5.97984e6i | −0.446910 | + | 0.161941i | ||||
\(334\) | −1.25286e7 | −0.336251 | ||||||||
\(335\) | 8.30328e7 | + | 7.26443e6i | 2.20859 | + | 0.193227i | ||||
\(336\) | −1.61971e7 | + | 1.93030e7i | −0.426992 | + | 0.508869i | ||||
\(337\) | 5.59951e7 | + | 9.87344e6i | 1.46305 | + | 0.257976i | 0.847784 | − | 0.530342i | \(-0.177936\pi\) |
0.615269 | + | 0.788317i | \(0.289047\pi\) | |||||||
\(338\) | −786781. | + | 1.68726e6i | −0.0203753 | + | 0.0436950i | ||||
\(339\) | 4.64435e7 | − | 4.64435e7i | 1.19214 | − | 1.19214i | ||||
\(340\) | −9.08940e6 | + | 3.30827e6i | −0.231259 | + | 0.0841714i | ||||
\(341\) | 9.09435e6 | + | 2.43682e6i | 0.229355 | + | 0.0614555i | ||||
\(342\) | −1.39786e6 | − | 7.92768e6i | −0.0349451 | − | 0.198184i | ||||
\(343\) | −1.65420e7 | + | 2.86515e7i | −0.409925 | + | 0.710012i | ||||
\(344\) | 3.94721e7 | − | 2.27892e7i | 0.969649 | − | 0.559827i | ||||
\(345\) | −2.07791e7 | + | 1.74357e7i | −0.506022 | + | 0.424603i | ||||
\(346\) | −2.19037e7 | − | 3.12817e7i | −0.528796 | − | 0.755199i | ||||
\(347\) | 6.72303e7 | − | 1.80143e7i | 1.60908 | − | 0.431151i | 0.661309 | − | 0.750114i | \(-0.270001\pi\) |
0.947767 | + | 0.318963i | \(0.103335\pi\) | |||||||
\(348\) | 9.34608e6 | + | 2.00427e7i | 0.221764 | + | 0.475575i | ||||
\(349\) | 2.62547e7 | + | 9.55594e6i | 0.617634 | + | 0.224800i | 0.631840 | − | 0.775099i | \(-0.282300\pi\) |
−0.0142062 | + | 0.999899i | \(0.504522\pi\) | |||||||
\(350\) | 1.77805e7 | + | 1.24501e7i | 0.414706 | + | 0.290380i | ||||
\(351\) | −2.34974e6 | − | 2.68576e7i | −0.0543373 | − | 0.621078i | ||||
\(352\) | 6.75981e6 | − | 591407.i | 0.154991 | − | 0.0135600i | ||||
\(353\) | 2.15110e6 | − | 3.07209e6i | 0.0489031 | − | 0.0698409i | −0.793956 | − | 0.607975i | \(-0.791982\pi\) |
0.842859 | + | 0.538135i | \(0.180871\pi\) | |||||||
\(354\) | 1.56602e7 | − | 4.30261e7i | 0.353011 | − | 0.969890i | ||||
\(355\) | −7.79475e6 | + | 3.63475e6i | −0.174228 | + | 0.0812437i | ||||
\(356\) | 4.01570e6 | + | 1.49868e7i | 0.0890043 | + | 0.332168i | ||||
\(357\) | −1.37292e7 | + | 9.61331e6i | −0.301746 | + | 0.211285i | ||||
\(358\) | 2.27153e7 | + | 2.70711e7i | 0.495074 | + | 0.590006i | ||||
\(359\) | −4.82379e6 | − | 8.35505e6i | −0.104257 | − | 0.180578i | 0.809177 | − | 0.587564i | \(-0.199913\pi\) |
−0.913434 | + | 0.406986i | \(0.866580\pi\) | |||||||
\(360\) | −2.23848e7 | − | 1.29239e7i | −0.479784 | − | 0.277003i | ||||
\(361\) | −3.97609e7 | + | 7.01091e6i | −0.845151 | + | 0.149023i | ||||
\(362\) | 2.52708e7 | − | 9.43119e7i | 0.532713 | − | 1.98811i | ||||
\(363\) | 1.80576e7 | + | 4.96128e7i | 0.377519 | + | 1.03723i | ||||
\(364\) | −4.03160e6 | − | 4.03160e6i | −0.0835936 | − | 0.0835936i | ||||
\(365\) | −9.61401e7 | − | 4.48309e7i | −1.97709 | − | 0.921931i | ||||
\(366\) | −2.10367e7 | + | 1.19305e8i | −0.429076 | + | 2.43341i | ||||
\(367\) | −4.66117e7 | − | 3.91118e7i | −0.942967 | − | 0.791243i | 0.0351322 | − | 0.999383i | \(-0.488815\pi\) |
−0.978099 | + | 0.208139i | \(0.933259\pi\) | |||||||
\(368\) | −2.00309e6 | + | 2.28954e7i | −0.0401936 | + | 0.459415i | ||||
\(369\) | 1.29852e7i | 0.258445i | ||||||||
\(370\) | 7.53213e7 | + | 2.75363e7i | 1.48700 | + | 0.543627i | ||||
\(371\) | 2.72245e7 | 0.533136 | ||||||||
\(372\) | 1.29194e7 | + | 1.13030e6i | 0.250966 | + | 0.0219567i | ||||
\(373\) | −4.50389e7 | + | 5.36753e7i | −0.867883 | + | 1.03430i | 0.131194 | + | 0.991357i | \(0.458119\pi\) |
−0.999077 | + | 0.0429460i | \(0.986326\pi\) | |||||||
\(374\) | 1.15870e7 | + | 2.04310e6i | 0.221491 | + | 0.0390548i | ||||
\(375\) | 634391. | − | 1.36046e6i | 0.0120299 | − | 0.0257983i | ||||
\(376\) | 6.91461e6 | − | 6.91461e6i | 0.130078 | − | 0.130078i | ||||
\(377\) | 8.06482e7 | − | 2.93535e7i | 1.50512 | − | 0.547818i | ||||
\(378\) | −1.71160e7 | − | 4.58623e6i | −0.316904 | − | 0.0849141i | ||||
\(379\) | −1.19498e7 | − | 6.77705e7i | −0.219504 | − | 1.24487i | −0.872918 | − | 0.487867i | \(-0.837775\pi\) |
0.653415 | − | 0.757000i | \(-0.273336\pi\) | |||||||
\(380\) | −3.83947e6 | + | 6.65015e6i | −0.0699713 | + | 0.121194i | ||||
\(381\) | −2.71758e7 | + | 1.56900e7i | −0.491369 | + | 0.283692i | ||||
\(382\) | −8.98010e7 | + | 7.53520e7i | −1.61098 | + | 1.35178i | ||||
\(383\) | 4.74683e7 | + | 6.77917e7i | 0.844903 | + | 1.20665i | 0.976537 | + | 0.215349i | \(0.0690888\pi\) |
−0.131634 | + | 0.991298i | \(0.542022\pi\) | |||||||
\(384\) | −8.01643e7 | + | 2.14800e7i | −1.41575 | + | 0.379350i | ||||
\(385\) | −4.69870e6 | − | 1.00764e7i | −0.0823372 | − | 0.176573i | ||||
\(386\) | −3.77748e6 | − | 1.37489e6i | −0.0656811 | − | 0.0239060i | ||||
\(387\) | −3.05342e7 | − | 2.13803e7i | −0.526809 | − | 0.368876i | ||||
\(388\) | −1.77676e6 | − | 2.03084e7i | −0.0304182 | − | 0.347681i | ||||
\(389\) | −5.39506e7 | + | 4.72006e6i | −0.916531 | + | 0.0801861i | −0.535652 | − | 0.844439i | \(-0.679934\pi\) |
−0.380879 | + | 0.924625i | \(0.624379\pi\) | |||||||
\(390\) | 6.40127e7 | − | 9.14197e7i | 1.07913 | − | 1.54115i | ||||
\(391\) | −5.22839e6 | + | 1.43649e7i | −0.0874657 | + | 0.240310i | ||||
\(392\) | −3.57046e7 | + | 1.66493e7i | −0.592742 | + | 0.276400i | ||||
\(393\) | −920344. | − | 3.43477e6i | −0.0151626 | − | 0.0565874i | ||||
\(394\) | 4.82204e7 | − | 3.37643e7i | 0.788392 | − | 0.552038i | ||||
\(395\) | −8.59803e7 | − | 1.02467e8i | −1.39511 | − | 1.66262i | ||||
\(396\) | −1.17651e6 | − | 2.03777e6i | −0.0189456 | − | 0.0328148i | ||||
\(397\) | 5.74663e7 | + | 3.31782e7i | 0.918420 | + | 0.530250i | 0.883131 | − | 0.469127i | \(-0.155431\pi\) |
0.0352893 | + | 0.999377i | \(0.488765\pi\) | |||||||
\(398\) | 2.13958e7 | − | 3.77266e6i | 0.339375 | − | 0.0598410i | ||||
\(399\) | −3.44373e6 | + | 1.28522e7i | −0.0542139 | + | 0.202329i | ||||
\(400\) | 2.57061e7 | + | 7.06271e7i | 0.401659 | + | 1.10355i | ||||
\(401\) | −2.81102e7 | − | 2.81102e7i | −0.435944 | − | 0.435944i | 0.454701 | − | 0.890644i | \(-0.349746\pi\) |
−0.890644 | + | 0.454701i | \(0.849746\pi\) | |||||||
\(402\) | −1.26568e8 | − | 5.90195e7i | −1.94825 | − | 0.908484i | ||||
\(403\) | 8.73971e6 | − | 4.95654e7i | 0.133531 | − | 0.757292i | ||||
\(404\) | 1.23678e6 | + | 1.03778e6i | 0.0187564 | + | 0.0157385i | ||||
\(405\) | 1.01873e7 | − | 1.16442e8i | 0.153354 | − | 1.75285i | ||||
\(406\) | − | 5.64085e7i | − | 0.842881i | ||||||
\(407\) | −1.30691e7 | − | 1.56203e7i | −0.193849 | − | 0.231690i | ||||
\(408\) | −4.52116e7 | −0.665686 | ||||||||
\(409\) | 3.50679e6 | + | 306804.i | 0.0512554 | + | 0.00448426i | 0.112755 | − | 0.993623i | \(-0.464033\pi\) |
−0.0614992 | + | 0.998107i | \(0.519588\pi\) | |||||||
\(410\) | 3.81356e7 | − | 4.54482e7i | 0.553323 | − | 0.659425i | ||||
\(411\) | 1.29964e8 | + | 2.29161e7i | 1.87196 | + | 0.330077i | ||||
\(412\) | −6.64915e6 | + | 1.42591e7i | −0.0950768 | + | 0.203893i | ||||
\(413\) | −1.72419e7 | + | 1.72419e7i | −0.244757 | + | 0.244757i | ||||
\(414\) | 1.37599e7 | − | 5.00820e6i | 0.193917 | − | 0.0705798i | ||||
\(415\) | −8.12880e7 | − | 2.17811e7i | −1.13732 | − | 0.304744i | ||||
\(416\) | −6.29883e6 | − | 3.57224e7i | −0.0874943 | − | 0.496205i | ||||
\(417\) | 3.75924e7 | − | 6.51120e7i | 0.518432 | − | 0.897951i | ||||
\(418\) | 8.08912e6 | − | 4.67026e6i | 0.110757 | − | 0.0639458i | ||||
\(419\) | −6.05332e7 | + | 5.07934e7i | −0.822908 | + | 0.690502i | −0.953651 | − | 0.300914i | \(-0.902708\pi\) |
0.130743 | + | 0.991416i | \(0.458264\pi\) | |||||||
\(420\) | −8.78401e6 | − | 1.25449e7i | −0.118562 | − | 0.169324i | ||||
\(421\) | −9.48289e7 | + | 2.54093e7i | −1.27085 | + | 0.340523i | −0.830356 | − | 0.557233i | \(-0.811863\pi\) |
−0.440493 | + | 0.897756i | \(0.645197\pi\) | |||||||
\(422\) | 5.10479e7 | + | 1.09473e8i | 0.679267 | + | 1.45669i | ||||
\(423\) | −7.51503e6 | − | 2.73525e6i | −0.0992909 | − | 0.0361389i | ||||
\(424\) | 6.01579e7 | + | 4.21230e7i | 0.789215 | + | 0.552614i | ||||
\(425\) | 4.35706e6 | + | 4.98014e7i | 0.0567579 | + | 0.648746i | ||||
\(426\) | 1.43553e7 | − | 1.25593e6i | 0.185688 | − | 0.0162456i | ||||
\(427\) | 3.70043e7 | − | 5.28477e7i | 0.475301 | − | 0.678801i | ||||
\(428\) | −8.16188e6 | + | 2.24246e7i | −0.104102 | + | 0.286018i | ||||
\(429\) | −2.56869e7 | + | 1.19780e7i | −0.325342 | + | 0.151709i | ||||
\(430\) | 4.40791e7 | + | 1.64506e8i | 0.554406 | + | 2.06907i | ||||
\(431\) | −1.10022e8 | + | 7.70384e7i | −1.37420 | + | 0.962222i | −0.374812 | + | 0.927101i | \(0.622293\pi\) |
−0.999383 | + | 0.0351210i | \(0.988818\pi\) | |||||||
\(432\) | −3.94395e7 | − | 4.70022e7i | −0.489193 | − | 0.582998i | ||||
\(433\) | −5.15051e6 | − | 8.92095e6i | −0.0634434 | − | 0.109887i | 0.832559 | − | 0.553936i | \(-0.186875\pi\) |
−0.896002 | + | 0.444049i | \(0.853542\pi\) | |||||||
\(434\) | −2.86479e7 | − | 1.65399e7i | −0.350448 | − | 0.202331i | ||||
\(435\) | 2.27023e8 | − | 4.00302e7i | 2.75805 | − | 0.486318i | ||||
\(436\) | 3.34748e6 | − | 1.24929e7i | 0.0403885 | − | 0.150732i | ||||
\(437\) | 4.15068e6 | + | 1.14039e7i | 0.0497365 | + | 0.136650i | ||||
\(438\) | 1.25677e8 | + | 1.25677e8i | 1.49566 | + | 1.49566i | ||||
\(439\) | −5.79962e7 | − | 2.70441e7i | −0.685497 | − | 0.319653i | 0.0484823 | − | 0.998824i | \(-0.484562\pi\) |
−0.733980 | + | 0.679171i | \(0.762339\pi\) | |||||||
\(440\) | 5.20797e6 | − | 2.95359e7i | 0.0611379 | − | 0.346730i | ||||
\(441\) | 2.46811e7 | + | 2.07099e7i | 0.287772 | + | 0.241469i | ||||
\(442\) | 5.48169e6 | − | 6.26560e7i | 0.0634816 | − | 0.725598i | ||||
\(443\) | − | 3.53897e7i | − | 0.407067i | −0.979068 | − | 0.203533i | \(-0.934757\pi\) | ||
0.979068 | − | 0.203533i | \(-0.0652426\pi\) | |||||||
\(444\) | −2.14646e7 | − | 1.80632e7i | −0.245231 | − | 0.206369i | ||||
\(445\) | 1.61734e8 | 1.83536 | ||||||||
\(446\) | −1.09568e8 | − | 9.58596e6i | −1.23503 | − | 0.108052i | ||||
\(447\) | −1.22838e7 | + | 1.46392e7i | −0.137533 | + | 0.163906i | ||||
\(448\) | 2.49485e7 | + | 4.39909e6i | 0.277466 | + | 0.0489248i | ||||
\(449\) | −3.31007e7 | + | 7.09846e7i | −0.365677 | + | 0.784197i | 0.634262 | + | 0.773119i | \(0.281304\pi\) |
−0.999939 | + | 0.0110785i | \(0.996474\pi\) | |||||||
\(450\) | 3.38607e7 | − | 3.38607e7i | 0.371585 | − | 0.371585i | ||||
\(451\) | −1.41582e7 | + | 5.15318e6i | −0.154340 | + | 0.0561753i | ||||
\(452\) | 3.26698e7 | + | 8.75386e6i | 0.353779 | + | 0.0947947i | ||||
\(453\) | 4.89962e6 | + | 2.77871e7i | 0.0527069 | + | 0.298916i | ||||
\(454\) | 3.33258e6 | − | 5.77219e6i | 0.0356133 | − | 0.0616841i | ||||
\(455\) | −5.14707e7 | + | 2.97166e7i | −0.546419 | + | 0.315475i | ||||
\(456\) | −2.74951e7 | + | 2.30711e7i | −0.289975 | + | 0.243318i | ||||
\(457\) | −5.31832e7 | − | 7.59535e7i | −0.557219 | − | 0.795792i | 0.437413 | − | 0.899261i | \(-0.355895\pi\) |
−0.994633 | + | 0.103469i | \(0.967006\pi\) | |||||||
\(458\) | −9.42792e7 | + | 2.52620e7i | −0.981340 | + | 0.262949i | ||||
\(459\) | −1.72474e7 | − | 3.69872e7i | −0.178355 | − | 0.382485i | ||||
\(460\) | −1.31257e7 | − | 4.77736e6i | −0.134849 | − | 0.0490811i | ||||
\(461\) | 3.56906e7 | + | 2.49908e7i | 0.364294 | + | 0.255081i | 0.741363 | − | 0.671104i | \(-0.234179\pi\) |
−0.377070 | + | 0.926185i | \(0.623068\pi\) | |||||||
\(462\) | 1.62356e6 | + | 1.85573e7i | 0.0164642 | + | 0.188187i | ||||
\(463\) | −3.64226e7 | + | 3.18657e6i | −0.366968 | + | 0.0321056i | −0.269149 | − | 0.963099i | \(-0.586742\pi\) |
−0.0978194 | + | 0.995204i | \(0.531187\pi\) | |||||||
\(464\) | 1.12032e8 | − | 1.59998e8i | 1.12147 | − | 1.60162i | ||||
\(465\) | 4.62368e7 | − | 1.27035e8i | 0.459864 | − | 1.26346i | ||||
\(466\) | −1.59583e6 | + | 744146.i | −0.0157699 | + | 0.00735361i | ||||
\(467\) | 2.42830e7 | + | 9.06254e7i | 0.238425 | + | 0.889814i | 0.976575 | + | 0.215177i | \(0.0690330\pi\) |
−0.738150 | + | 0.674637i | \(0.764300\pi\) | |||||||
\(468\) | −1.03036e7 | + | 7.21464e6i | −0.100519 | + | 0.0703845i | ||||
\(469\) | 4.78045e7 | + | 5.69711e7i | 0.463394 | + | 0.552251i | ||||
\(470\) | 1.82696e7 | + | 3.16440e7i | 0.175969 | + | 0.304788i | ||||
\(471\) | 1.29886e8 | + | 7.49899e7i | 1.24308 | + | 0.717695i | ||||
\(472\) | −6.47769e7 | + | 1.14219e7i | −0.616019 | + | 0.108621i | ||||
\(473\) | 1.11942e7 | − | 4.17774e7i | 0.105782 | − | 0.394783i | ||||
\(474\) | 7.66522e7 | + | 2.10600e8i | 0.719763 | + | 1.97753i | ||||
\(475\) | 2.80630e7 | + | 2.80630e7i | 0.261850 | + | 0.261850i | ||||
\(476\) | −7.82205e6 | − | 3.64748e6i | −0.0725270 | − | 0.0338199i | ||||
\(477\) | 1.04294e7 | − | 5.91483e7i | 0.0960962 | − | 0.544988i | ||||
\(478\) | 3.68694e7 | + | 3.09371e7i | 0.337584 | + | 0.283267i | ||||
\(479\) | −1.82252e7 | + | 2.08315e8i | −0.165831 | + | 1.89546i | 0.224031 | + | 0.974582i | \(0.428078\pi\) |
−0.389862 | + | 0.920873i | \(0.627477\pi\) | |||||||
\(480\) | − | 9.74313e7i | − | 0.880998i | ||||||
\(481\) | −7.70940e7 | + | 7.68745e7i | −0.692764 | + | 0.690792i | ||||
\(482\) | 2.86464e7 | 0.255817 | ||||||||
\(483\) | −2.41108e7 | − | 2.10943e6i | −0.213979 | − | 0.0187207i | ||||
\(484\) | −1.74759e7 | + | 2.08269e7i | −0.154135 | + | 0.183691i | ||||
\(485\) | −2.09277e8 | − | 3.69011e7i | −1.83441 | − | 0.323455i | ||||
\(486\) | −4.80105e7 | + | 1.02959e8i | −0.418242 | + | 0.896923i | ||||
\(487\) | −1.37633e7 | + | 1.37633e7i | −0.119161 | + | 0.119161i | −0.764173 | − | 0.645012i | \(-0.776853\pi\) |
0.645012 | + | 0.764173i | \(0.276853\pi\) | |||||||
\(488\) | 1.63537e8 | − | 5.95226e7i | 1.40720 | − | 0.512179i | ||||
\(489\) | −1.88766e8 | − | 5.05796e7i | −1.61434 | − | 0.432562i | ||||
\(490\) | −2.55621e7 | − | 1.44970e8i | −0.217274 | − | 1.23222i | ||||
\(491\) | −2.19023e7 | + | 3.79359e7i | −0.185031 | + | 0.320483i | −0.943587 | − | 0.331125i | \(-0.892572\pi\) |
0.758556 | + | 0.651608i | \(0.225905\pi\) | |||||||
\(492\) | −1.79732e7 | + | 1.03768e7i | −0.150914 | + | 0.0871305i | ||||
\(493\) | 9.95212e7 | − | 8.35082e7i | 0.830567 | − | 0.696929i | ||||
\(494\) | −2.86392e7 | − | 4.09010e7i | −0.237564 | − | 0.339276i | ||||
\(495\) | −2.36922e7 | + | 6.34829e6i | −0.195339 | + | 0.0523409i | ||||
\(496\) | −4.84079e7 | − | 1.03811e8i | −0.396708 | − | 0.850743i | ||||
\(497\) | −7.21120e6 | − | 2.62466e6i | −0.0587406 | − | 0.0213798i | ||||
\(498\) | 1.15502e8 | + | 8.08752e7i | 0.935192 | + | 0.654829i | ||||
\(499\) | −1.19193e7 | − | 1.36238e8i | −0.0959288 | − | 1.09647i | −0.879734 | − | 0.475465i | \(-0.842280\pi\) |
0.783806 | − | 0.621006i | \(-0.213276\pi\) | |||||||
\(500\) | 770045. | − | 67370.2i | 0.00616036 | − | 0.000538962i | ||||
\(501\) | 2.62037e7 | − | 3.74228e7i | 0.208377 | − | 0.297593i | ||||
\(502\) | 3.02400e7 | − | 8.30838e7i | 0.239040 | − | 0.656757i | ||||
\(503\) | 2.59059e7 | − | 1.20801e7i | 0.203561 | − | 0.0949220i | −0.318164 | − | 0.948036i | \(-0.603066\pi\) |
0.521725 | + | 0.853114i | \(0.325289\pi\) | |||||||
\(504\) | −5.96917e6 | − | 2.22773e7i | −0.0466254 | − | 0.174008i | ||||
\(505\) | 1.37861e7 | − | 9.65310e6i | 0.107045 | − | 0.0749537i | ||||
\(506\) | 1.09213e7 | + | 1.30155e7i | 0.0842989 | + | 0.100463i | ||||
\(507\) | −3.39426e6 | − | 5.87903e6i | −0.0260448 | − | 0.0451109i | ||||
\(508\) | −1.39941e7 | − | 8.07952e6i | −0.106747 | − | 0.0616303i | ||||
\(509\) | 8.26478e7 | − | 1.45730e7i | 0.626726 | − | 0.110509i | 0.148741 | − | 0.988876i | \(-0.452478\pi\) |
0.477986 | + | 0.878367i | \(0.341367\pi\) | |||||||
\(510\) | 4.37244e7 | − | 1.63182e8i | 0.329620 | − | 1.23016i | ||||
\(511\) | −3.23725e7 | − | 8.89426e7i | −0.242612 | − | 0.666572i | ||||
\(512\) | 3.54244e7 | + | 3.54244e7i | 0.263932 | + | 0.263932i | ||||
\(513\) | −2.93632e7 | − | 1.36923e7i | −0.217496 | − | 0.101420i | ||||
\(514\) | −1.54111e7 | + | 8.74009e7i | −0.113487 | + | 0.643615i | ||||
\(515\) | 1.25634e8 | + | 1.05420e8i | 0.919786 | + | 0.771792i | ||||
\(516\) | 5.19237e6 | − | 5.93490e7i | 0.0377934 | − | 0.431981i | ||||
\(517\) | − | 9.27942e6i | − | 0.0671505i | ||||||
\(518\) | 3.01489e7 | + | 6.48958e7i | 0.216911 | + | 0.466904i | ||||
\(519\) | 1.39250e8 | 0.996075 | ||||||||
\(520\) | −1.59714e8 | − | 1.39731e7i | −1.13588 | − | 0.0993765i | ||||
\(521\) | −1.36264e8 | + | 1.62393e8i | −0.963533 | + | 1.14829i | 0.0253620 | + | 0.999678i | \(0.491926\pi\) |
−0.988895 | + | 0.148616i | \(0.952518\pi\) | |||||||
\(522\) | −1.22554e8 | − | 2.16095e7i | −0.861619 | − | 0.151927i | ||||
\(523\) | 3.41264e7 | − | 7.31843e7i | 0.238553 | − | 0.511579i | −0.750186 | − | 0.661227i | \(-0.770036\pi\) |
0.988739 | + | 0.149648i | \(0.0478140\pi\) | |||||||
\(524\) | 1.29480e6 | − | 1.29480e6i | 0.00899929 | − | 0.00899929i | ||||
\(525\) | −7.43764e7 | + | 2.70708e7i | −0.513993 | + | 0.187078i | ||||
\(526\) | 2.11662e8 | + | 5.67147e7i | 1.45441 | + | 0.389707i | ||||
\(527\) | −1.32297e7 | − | 7.50293e7i | −0.0903895 | − | 0.512624i | ||||
\(528\) | −3.22512e7 | + | 5.58608e7i | −0.219101 | + | 0.379494i | ||||
\(529\) | 1.09085e8 | − | 6.29804e7i | 0.736884 | − | 0.425440i | ||||
\(530\) | −2.10213e8 | + | 1.76390e8i | −1.41199 | + | 1.18480i | ||||
\(531\) | 3.08548e7 | + | 4.40652e7i | 0.206081 | + | 0.294315i | ||||
\(532\) | −6.61820e6 | + | 1.77334e6i | −0.0439547 | + | 0.0117776i | ||||
\(533\) | 3.40386e7 | + | 7.29959e7i | 0.224796 | + | 0.482078i | ||||
\(534\) | −2.54641e8 | − | 9.26818e7i | −1.67226 | − | 0.608654i | ||||
\(535\) | 2.03770e8 | + | 1.42681e8i | 1.33069 | + | 0.931762i | ||||
\(536\) | 1.74850e7 | + | 1.99854e8i | 0.113546 | + | 1.29783i | ||||
\(537\) | −1.28370e8 | + | 1.12310e7i | −0.828976 | + | 0.0725260i | ||||
\(538\) | 6.86567e7 | − | 9.80519e7i | 0.440896 | − | 0.629665i | ||||
\(539\) | −1.27861e7 | + | 3.51295e7i | −0.0816529 | + | 0.224340i | ||||
\(540\) | 3.37965e7 | − | 1.57596e7i | 0.214630 | − | 0.100084i | ||||
\(541\) | −8.43228e6 | − | 3.14697e7i | −0.0532541 | − | 0.198747i | 0.934173 | − | 0.356819i | \(-0.116139\pi\) |
−0.987428 | + | 0.158072i | \(0.949472\pi\) | |||||||
\(542\) | −7.63455e7 | + | 5.34577e7i | −0.479497 | + | 0.335747i | ||||
\(543\) | 2.28854e8 | + | 2.72738e8i | 1.42942 | + | 1.70352i | ||||
\(544\) | −2.74544e7 | − | 4.75524e7i | −0.170536 | − | 0.295377i | ||||
\(545\) | −1.16759e8 | − | 6.74106e7i | −0.721272 | − | 0.416427i | ||||
\(546\) | 9.80668e7 | − | 1.72918e7i | 0.602482 | − | 0.106234i | ||||
\(547\) | 5.82083e7 | − | 2.17236e8i | 0.355650 | − | 1.32731i | −0.524014 | − | 0.851710i | \(-0.675566\pi\) |
0.879664 | − | 0.475595i | \(-0.157767\pi\) | |||||||
\(548\) | 2.32426e7 | + | 6.38586e7i | 0.141235 | + | 0.388041i | ||||
\(549\) | −1.00642e8 | − | 1.00642e8i | −0.608219 | − | 0.608219i | ||||
\(550\) | 5.03573e7 | + | 2.34820e7i | 0.302674 | + | 0.141139i | ||||
\(551\) | 1.79095e7 | − | 1.01570e8i | 0.107060 | − | 0.607169i | ||||
\(552\) | −5.00139e7 | − | 4.19666e7i | −0.297354 | − | 0.249509i | ||||
\(553\) | 1.04021e7 | − | 1.18897e8i | 0.0615102 | − | 0.703065i | ||||
\(554\) | − | 4.96256e7i | − | 0.291861i | ||||||
\(555\) | −2.39786e8 | + | 1.67391e8i | −1.40264 | + | 0.979160i | ||||
\(556\) | 3.87163e7 | 0.225252 | ||||||||
\(557\) | 7.10204e6 | + | 621348.i | 0.0410977 | + | 0.00359558i | 0.107686 | − | 0.994185i | \(-0.465656\pi\) |
−0.0665884 | + | 0.997781i | \(0.521211\pi\) | |||||||
\(558\) | −4.69095e7 | + | 5.59046e7i | −0.269997 | + | 0.321769i | ||||
\(559\) | −2.27692e8 | − | 4.01483e7i | −1.30351 | − | 0.229843i | ||||
\(560\) | −5.71634e7 | + | 1.22587e8i | −0.325502 | + | 0.698042i | ||||
\(561\) | −3.03371e7 | + | 3.03371e7i | −0.171824 | + | 0.171824i | ||||
\(562\) | −2.95103e8 | + | 1.07409e8i | −1.66251 | + | 0.605104i | ||||
\(563\) | −3.31025e8 | − | 8.86979e7i | −1.85496 | − | 0.497036i | −0.855190 | − | 0.518314i | \(-0.826560\pi\) |
−0.999774 | + | 0.0212778i | \(0.993227\pi\) | |||||||
\(564\) | −2.21954e6 | − | 1.25876e7i | −0.0123716 | − | 0.0701628i | ||||
\(565\) | 1.76283e8 | − | 3.05331e8i | 0.977382 | − | 1.69288i | ||||
\(566\) | 2.27673e8 | − | 1.31447e8i | 1.25563 | − | 0.724938i | ||||
\(567\) | 7.98940e7 | − | 6.70390e7i | 0.438293 | − | 0.367772i | ||||
\(568\) | −1.18736e7 | − | 1.69572e7i | −0.0647943 | − | 0.0925358i | ||||
\(569\) | 1.29582e8 | − | 3.47214e7i | 0.703410 | − | 0.188478i | 0.110652 | − | 0.993859i | \(-0.464706\pi\) |
0.592757 | + | 0.805381i | \(0.298039\pi\) | |||||||
\(570\) | −5.66797e7 | − | 1.21550e8i | −0.306057 | − | 0.656342i | ||||
\(571\) | −2.54440e8 | − | 9.26086e7i | −1.36671 | − | 0.497442i | −0.448589 | − | 0.893738i | \(-0.648073\pi\) |
−0.918123 | + | 0.396296i | \(0.870295\pi\) | |||||||
\(572\) | −1.19554e7 | − | 8.37125e6i | −0.0638816 | − | 0.0447304i | ||||
\(573\) | −3.72557e7 | − | 4.25834e8i | −0.198029 | − | 2.26348i | ||||
\(574\) | 5.27355e7 | − | 4.61375e6i | 0.278848 | − | 0.0243960i | ||||
\(575\) | −4.14071e7 | + | 5.91355e7i | −0.217807 | + | 0.311060i | ||||
\(576\) | 1.91151e7 | − | 5.25182e7i | 0.100025 | − | 0.274816i | ||||
\(577\) | 3.13922e8 | − | 1.46384e8i | 1.63416 | − | 0.762020i | 0.634219 | − | 0.773153i | \(-0.281322\pi\) |
0.999938 | + | 0.0111335i | \(0.00354398\pi\) | |||||||
\(578\) | 3.15449e7 | + | 1.17727e8i | 0.163360 | + | 0.609668i | ||||
\(579\) | 1.20074e7 | − | 8.40769e6i | 0.0618606 | − | 0.0433153i | ||||
\(580\) | 7.63043e7 | + | 9.09359e7i | 0.391079 | + | 0.466070i | ||||
\(581\) | −3.75447e7 | − | 6.50293e7i | −0.191434 | − | 0.331574i | ||||
\(582\) | 3.08348e8 | + | 1.78025e8i | 1.56413 | + | 0.903050i | ||||
\(583\) | 6.86307e7 | − | 1.21014e7i | 0.346348 | − | 0.0610705i | ||||
\(584\) | 6.60829e7 | − | 2.46625e8i | 0.331780 | − | 1.23822i | ||||
\(585\) | 4.48448e7 | + | 1.23210e8i | 0.223998 | + | 0.615429i | ||||
\(586\) | −1.41757e8 | − | 1.41757e8i | −0.704452 | − | 0.704452i | ||||
\(587\) | 1.86381e7 | + | 8.69107e6i | 0.0921481 | + | 0.0429694i | 0.468146 | − | 0.883651i | \(-0.344922\pi\) |
−0.375998 | + | 0.926621i | \(0.622700\pi\) | |||||||
\(588\) | −8.94187e6 | + | 5.07119e7i | −0.0439842 | + | 0.249447i | ||||
\(589\) | −4.63324e7 | − | 3.88775e7i | −0.226746 | − | 0.190262i | ||||
\(590\) | 2.14211e7 | − | 2.44845e8i | 0.104301 | − | 1.19216i | ||||
\(591\) | 2.14652e8i | 1.03986i | ||||||||
\(592\) | −4.33734e7 | + | 2.43950e8i | −0.209054 | + | 1.17580i | ||||
\(593\) | −1.37369e8 | −0.658756 | −0.329378 | − | 0.944198i | \(-0.606839\pi\) | ||||
−0.329378 | + | 0.944198i | \(0.606839\pi\) | |||||||
\(594\) | −4.51867e7 | − | 3.95332e6i | −0.215601 | − | 0.0188626i | ||||
\(595\) | −5.78295e7 | + | 6.89185e7i | −0.274535 | + | 0.327179i | ||||
\(596\) | −9.69122e6 | − | 1.70882e6i | −0.0457762 | − | 0.00807158i | ||||
\(597\) | −3.34807e7 | + | 7.17996e7i | −0.157352 | + | 0.337442i | ||||
\(598\) | 6.42229e7 | − | 6.42229e7i | 0.300322 | − | 0.300322i | ||||
\(599\) | −1.02003e8 | + | 3.71259e7i | −0.474604 | + | 0.172742i | −0.568237 | − | 0.822865i | \(-0.692374\pi\) |
0.0936331 | + | 0.995607i | \(0.470152\pi\) | |||||||
\(600\) | −2.06235e8 | − | 5.52604e7i | −0.954790 | − | 0.255835i | ||||
\(601\) | 5.09194e7 | + | 2.88778e8i | 0.234563 | + | 1.33027i | 0.843532 | + | 0.537079i | \(0.180472\pi\) |
−0.608969 | + | 0.793194i | \(0.708416\pi\) | |||||||
\(602\) | −7.59805e7 | + | 1.31602e8i | −0.348267 | + | 0.603217i | ||||
\(603\) | 1.42090e8 | − | 8.20355e7i | 0.648053 | − | 0.374154i | ||||
\(604\) | −1.11304e7 | + | 9.33948e6i | −0.0505125 | + | 0.0423850i | ||||
\(605\) | 1.62554e8 | + | 2.32152e8i | 0.734062 | + | 1.04835i | ||||
\(606\) | −2.72371e7 | + | 7.29816e6i | −0.122389 | + | 0.0327941i | ||||
\(607\) | 1.02642e8 | + | 2.20117e8i | 0.458944 | + | 0.984208i | 0.990542 | + | 0.137211i | \(0.0438138\pi\) |
−0.531598 | + | 0.846997i | \(0.678408\pi\) | |||||||
\(608\) | −4.09618e7 | − | 1.49089e7i | −0.182250 | − | 0.0663337i | ||||
\(609\) | 1.68492e8 | + | 1.17979e8i | 0.745978 | + | 0.522340i | ||||
\(610\) | 5.66766e7 | + | 6.47816e8i | 0.249697 | + | 2.85405i | ||||
\(611\) | −4.94156e7 | + | 4.32331e6i | −0.216641 | + | 0.0189536i | ||||
\(612\) | −1.09211e7 | + | 1.55970e7i | −0.0476445 | + | 0.0680434i | ||||
\(613\) | −9.56992e7 | + | 2.62932e8i | −0.415458 | + | 1.14146i | 0.538789 | + | 0.842441i | \(0.318882\pi\) |
−0.954247 | + | 0.299020i | \(0.903340\pi\) | |||||||
\(614\) | 3.92075e8 | − | 1.82827e8i | 1.69381 | − | 0.789835i | ||||
\(615\) | 5.59923e7 | + | 2.08966e8i | 0.240715 | + | 0.898360i | ||||
\(616\) | 2.19209e7 | − | 1.53492e7i | 0.0937813 | − | 0.0656664i | ||||
\(617\) | 1.62711e8 | + | 1.93912e8i | 0.692727 | + | 0.825560i | 0.991683 | − | 0.128707i | \(-0.0410826\pi\) |
−0.298955 | + | 0.954267i | \(0.596638\pi\) | |||||||
\(618\) | −1.37393e8 | − | 2.37972e8i | −0.582104 | − | 1.00823i | ||||
\(619\) | 2.15079e8 | + | 1.24176e8i | 0.906832 | + | 0.523560i | 0.879411 | − | 0.476064i | \(-0.157937\pi\) |
0.0274215 | + | 0.999624i | \(0.491270\pi\) | |||||||
\(620\) | 6.85569e7 | − | 1.20884e7i | 0.287658 | − | 0.0507218i | ||||
\(621\) | 1.52531e7 | − | 5.69255e7i | 0.0636919 | − | 0.237701i | ||||
\(622\) | −2.98221e7 | − | 8.19357e7i | −0.123927 | − | 0.340488i | ||||
\(623\) | 1.02043e8 | + | 1.02043e8i | 0.422005 | + | 0.422005i | ||||
\(624\) | 3.12501e8 | + | 1.45722e8i | 1.28617 | + | 0.599750i | ||||
\(625\) | 4.30883e7 | − | 2.44366e8i | 0.176490 | − | 1.00092i | ||||
\(626\) | −2.04958e8 | − | 1.71980e8i | −0.835492 | − | 0.701061i | ||||
\(627\) | −2.96849e6 | + | 3.39300e7i | −0.0120430 | + | 0.137652i | ||||
\(628\) | 7.72318e7i | 0.311830i | ||||||||
\(629\) | −6.98623e7 | + | 1.49265e8i | −0.280731 | + | 0.599798i | ||||
\(630\) | 8.61778e7 | 0.344647 | ||||||||
\(631\) | 4.91238e8 | + | 4.29778e7i | 1.95526 | + | 0.171063i | 0.994377 | − | 0.105900i | \(-0.0337725\pi\) |
0.960881 | + | 0.276963i | \(0.0893280\pi\) | |||||||
\(632\) | 2.06949e8 | − | 2.46632e8i | 0.819807 | − | 0.977008i | ||||
\(633\) | −4.33761e8 | − | 7.64837e7i | −1.71017 | − | 0.301549i | ||||
\(634\) | 1.67240e8 | − | 3.58647e8i | 0.656255 | − | 1.40734i | ||||
\(635\) | −1.19107e8 | + | 1.19107e8i | −0.465175 | + | 0.465175i | ||||
\(636\) | 9.02037e7 | − | 3.28315e7i | 0.350633 | − | 0.127620i | ||||
\(637\) | 1.93032e8 | + | 5.17228e7i | 0.746812 | + | 0.200108i | ||||
\(638\) | −2.50739e7 | − | 1.42201e8i | −0.0965516 | − | 0.547571i | ||||
\(639\) | −8.46492e6 | + | 1.46617e7i | −0.0324430 | + | 0.0561928i | ||||
\(640\) | −3.85805e8 | + | 2.22745e8i | −1.47173 | + | 0.849704i | ||||
\(641\) | −3.35499e6 | + | 2.81517e6i | −0.0127385 | + | 0.0106888i | −0.649135 | − | 0.760674i | \(-0.724869\pi\) |
0.636396 | + | 0.771362i | \(0.280424\pi\) | |||||||
\(642\) | −2.39061e8 | − | 3.41414e8i | −0.903447 | − | 1.29026i | ||||
\(643\) | 3.90204e7 | − | 1.04555e7i | 0.146777 | − | 0.0393289i | −0.184682 | − | 0.982798i | \(-0.559126\pi\) |
0.331460 | + | 0.943469i | \(0.392459\pi\) | |||||||
\(644\) | −5.26720e6 | − | 1.12955e7i | −0.0197207 | − | 0.0422912i | ||||
\(645\) | −5.83569e8 | − | 2.12402e8i | −2.17477 | − | 0.791550i | ||||
\(646\) | −6.19137e7 | − | 4.33525e7i | −0.229662 | − | 0.160811i | ||||
\(647\) | 3.99647e7 | + | 4.56798e8i | 0.147558 | + | 1.68660i | 0.604110 | + | 0.796901i | \(0.293529\pi\) |
−0.456551 | + | 0.889697i | \(0.650916\pi\) | |||||||
\(648\) | 2.80267e8 | − | 2.45202e7i | 1.03002 | − | 0.0901155i | ||||
\(649\) | −3.58013e7 | + | 5.11295e7i | −0.130968 | + | 0.187041i | ||||
\(650\) | 1.01587e8 | − | 2.79108e8i | 0.369911 | − | 1.01632i | ||||
\(651\) | 1.09322e8 | − | 5.09777e7i | 0.396246 | − | 0.184772i | ||||
\(652\) | −2.60458e7 | − | 9.72044e7i | −0.0939714 | − | 0.350706i | ||||
\(653\) | 2.98009e7 | − | 2.08668e7i | 0.107026 | − | 0.0749405i | −0.518838 | − | 0.854872i | \(-0.673635\pi\) |
0.625864 | + | 0.779932i | \(0.284746\pi\) | |||||||
\(654\) | 1.45200e8 | + | 1.73043e8i | 0.519079 | + | 0.618615i | ||||
\(655\) | −9.54386e6 | − | 1.65304e7i | −0.0339625 | − | 0.0588248i | ||||
\(656\) | 1.58743e8 | + | 9.16502e7i | 0.562319 | + | 0.324655i | ||||
\(657\) | −2.05640e8 | + | 3.62598e7i | −0.725121 | + | 0.127858i | ||||
\(658\) | −8.43824e6 | + | 3.14919e7i | −0.0296193 | + | 0.110541i | ||||
\(659\) | 1.34498e8 | + | 3.69531e8i | 0.469960 | + | 1.29120i | 0.917783 | + | 0.397082i | \(0.129977\pi\) |
−0.447823 | + | 0.894122i | \(0.647800\pi\) | |||||||
\(660\) | −2.77200e7 | − | 2.77200e7i | −0.0964188 | − | 0.0964188i | ||||
\(661\) | −3.76747e8 | − | 1.75680e8i | −1.30450 | − | 0.608300i | −0.358825 | − | 0.933405i | \(-0.616823\pi\) |
−0.945678 | + | 0.325105i | \(0.894600\pi\) | |||||||
\(662\) | 1.28488e7 | − | 7.28691e7i | 0.0442882 | − | 0.251171i | ||||
\(663\) | 1.75688e8 | + | 1.47420e8i | 0.602839 | + | 0.505842i | ||||
\(664\) | 1.76540e7 | − | 2.01786e8i | 0.0603029 | − | 0.689266i | ||||
\(665\) | 7.14222e7i | 0.242867i | ||||||||
\(666\) | 1.52543e8 | − | 4.06409e7i | 0.516381 | − | 0.137575i | ||||
\(667\) | 1.87607e8 | 0.632223 | ||||||||
\(668\) | 2.34358e7 | + | 2.05037e6i | 0.0786231 | + | 0.00687863i | ||||
\(669\) | 2.57796e8 | − | 3.07229e8i | 0.860989 | − | 1.02609i | ||||
\(670\) | −7.38242e8 | − | 1.30172e8i | −2.45456 | − | 0.432806i | ||||
\(671\) | 6.97937e7 | − | 1.49673e8i | 0.231020 | − | 0.495423i | ||||
\(672\) | 6.14722e7 | − | 6.14722e7i | 0.202568 | − | 0.202568i | ||||
\(673\) | 6.94528e7 | − | 2.52788e7i | 0.227848 | − | 0.0829298i | −0.225573 | − | 0.974226i | \(-0.572426\pi\) |
0.453421 | + | 0.891296i | \(0.350203\pi\) | |||||||
\(674\) | −4.93951e8 | − | 1.32354e8i | −1.61326 | − | 0.432271i | ||||
\(675\) | −3.34668e7 | − | 1.89800e8i | −0.108818 | − | 0.617140i | ||||
\(676\) | 1.74787e6 | − | 3.02739e6i | 0.00565807 | − | 0.00980006i | ||||
\(677\) | −1.25083e8 | + | 7.22165e7i | −0.403117 | + | 0.232740i | −0.687828 | − | 0.725874i | \(-0.741436\pi\) |
0.284711 | + | 0.958613i | \(0.408102\pi\) | |||||||
\(678\) | −4.52517e8 | + | 3.79707e8i | −1.45193 | + | 1.21832i | ||||
\(679\) | −1.08757e8 | − | 1.55321e8i | −0.347413 | − | 0.496158i | ||||
\(680\) | −2.34420e8 | + | 6.28126e7i | −0.745534 | + | 0.199765i | ||||
\(681\) | 1.02713e7 | + | 2.20270e7i | 0.0325227 | + | 0.0697451i | ||||
\(682\) | −7.95711e7 | − | 2.89615e7i | −0.250843 | − | 0.0912994i | ||||
\(683\) | −4.57914e8 | − | 3.20635e8i | −1.43721 | − | 1.00635i | −0.993936 | − | 0.109965i | \(-0.964926\pi\) |
−0.443279 | − | 0.896384i | \(-0.646185\pi\) | |||||||
\(684\) | 1.31742e6 | + | 1.50581e7i | 0.00411675 | + | 0.0470547i | ||||
\(685\) | 7.05690e8 | − | 6.17399e7i | 2.19555 | − | 0.192085i | ||||
\(686\) | 1.70667e8 | − | 2.43738e8i | 0.528662 | − | 0.755007i | ||||
\(687\) | 1.21729e8 | − | 3.34447e8i | 0.375424 | − | 1.03147i | ||||
\(688\) | −4.76885e8 | + | 2.22375e8i | −1.46436 | + | 0.682842i | ||||
\(689\) | −9.64189e7 | − | 3.59840e8i | −0.294784 | − | 1.10015i | ||||
\(690\) | 1.99838e8 | − | 1.39928e8i | 0.608319 | − | 0.425950i | ||||
\(691\) | 1.43250e7 | + | 1.70719e7i | 0.0434170 | + | 0.0517424i | 0.787316 | − | 0.616550i | \(-0.211470\pi\) |
−0.743899 | + | 0.668292i | \(0.767026\pi\) | |||||||
\(692\) | 3.58532e7 | + | 6.20995e7i | 0.108196 | + | 0.187400i | ||||
\(693\) | −1.89534e7 | − | 1.09427e7i | −0.0569491 | − | 0.0328796i | ||||
\(694\) | −6.16473e8 | + | 1.08701e8i | −1.84432 | + | 0.325203i | ||||
\(695\) | 1.04454e8 | − | 3.89829e8i | 0.311152 | − | 1.16123i | ||||
\(696\) | 1.89773e8 | + | 5.21396e8i | 0.562867 | + | 1.54646i | ||||
\(697\) | 8.62106e7 | + | 8.62106e7i | 0.254602 | + | 0.254602i | ||||
\(698\) | −2.27740e8 | − | 1.06197e8i | −0.669688 | − | 0.312281i | ||||
\(699\) | 1.11493e6 | − | 6.32311e6i | 0.00326451 | − | 0.0185139i | ||||
\(700\) | −3.12224e7 | − | 2.61987e7i | −0.0910274 | − | 0.0763811i | ||||
\(701\) | 1.50271e7 | − | 1.71760e8i | 0.0436235 | − | 0.498619i | −0.942682 | − | 0.333692i | \(-0.891706\pi\) |
0.986306 | − | 0.164927i | \(-0.0527389\pi\) | |||||||
\(702\) | 2.42474e8i | 0.700896i | ||||||||
\(703\) | 3.36823e7 | + | 1.26424e8i | 0.0969472 | + | 0.363885i | ||||
\(704\) | 6.48485e7 | 0.185858 | ||||||||
\(705\) | −1.32731e8 | − | 1.16125e7i | −0.378797 | − | 0.0331404i | ||||
\(706\) | −2.16809e7 | + | 2.58383e7i | −0.0616118 | + | 0.0734261i | ||||
\(707\) | 1.47884e7 | + | 2.60760e6i | 0.0418470 | + | 0.00737875i | ||||
\(708\) | −3.63352e7 | + | 7.79210e7i | −0.102383 | + | 0.219561i | ||||
\(709\) | −6.06419e7 | + | 6.06419e7i | −0.170151 | + | 0.170151i | −0.787046 | − | 0.616895i | \(-0.788390\pi\) |
0.616895 | + | 0.787046i | \(0.288390\pi\) | |||||||
\(710\) | 7.26865e7 | − | 2.64557e7i | 0.203086 | − | 0.0739171i | ||||
\(711\) | −2.54332e8 | − | 6.81481e7i | −0.707608 | − | 0.189603i | ||||
\(712\) | 6.75983e7 | + | 3.83369e8i | 0.187282 | + | 1.06213i | ||||
\(713\) | 5.50093e7 | − | 9.52789e7i | 0.151764 | − | 0.262862i | ||||
\(714\) | 1.30543e8 | − | 7.53691e7i | 0.358640 | − | 0.207061i | ||||
\(715\) | −1.16544e8 | + | 9.77920e7i | −0.318839 | + | 0.267538i | ||||
\(716\) | −3.80606e7 | − | 5.43561e7i | −0.103690 | − | 0.148084i | ||||
\(717\) | −1.69521e8 | + | 4.54231e7i | −0.459904 | + | 0.123231i | ||||
\(718\) | 3.66698e7 | + | 7.86386e7i | 0.0990683 | + | 0.212453i | ||||
\(719\) | −2.75165e8 | − | 1.00152e8i | −0.740298 | − | 0.269446i | −0.0557807 | − | 0.998443i | \(-0.517765\pi\) |
−0.684517 | + | 0.728997i | \(0.739987\pi\) | |||||||
\(720\) | 2.44436e8 | + | 1.71156e8i | 0.654889 | + | 0.458558i | ||||
\(721\) | 1.27540e7 | + | 1.45779e8i | 0.0340283 | + | 0.388945i | ||||
\(722\) | 3.61735e8 | − | 3.16477e7i | 0.961122 | − | 0.0840873i | ||||
\(723\) | −5.99143e7 | + | 8.55665e7i | −0.158532 | + | 0.226406i | ||||
\(724\) | −6.27056e7 | + | 1.72282e8i | −0.165231 | + | 0.453968i | ||||
\(725\) | 5.56038e8 | − | 2.59285e8i | 1.45912 | − | 0.680398i | ||||
\(726\) | −1.22898e8 | − | 4.58662e8i | −0.321170 | − | 1.19862i | ||||
\(727\) | −5.27275e8 | + | 3.69202e8i | −1.37225 | + | 0.960862i | −0.372796 | + | 0.927913i | \(0.621601\pi\) |
−0.999457 | + | 0.0329488i | \(0.989510\pi\) | |||||||
\(728\) | −9.19518e7 | − | 1.09584e8i | −0.238323 | − | 0.284023i | ||||
\(729\) | 3.48975e7 | + | 6.04443e7i | 0.0900766 | + | 0.156017i | ||||
\(730\) | 8.26230e8 | + | 4.77024e8i | 2.12389 | + | 1.22623i | ||||
\(731\) | −3.44668e8 | + | 6.07743e7i | −0.882366 | + | 0.155585i | ||||
\(732\) | 5.88757e7 | − | 2.19727e8i | 0.150108 | − | 0.560209i | ||||
\(733\) | −1.08518e8 | − | 2.98149e8i | −0.275542 | − | 0.757046i | −0.997854 | − | 0.0654782i | \(-0.979143\pi\) |
0.722312 | − | 0.691567i | \(-0.243079\pi\) | |||||||
\(734\) | 3.86961e8 | + | 3.86961e8i | 0.978541 | + | 0.978541i | ||||
\(735\) | 4.86486e8 | + | 2.26852e8i | 1.22520 | + | 0.571322i | ||||
\(736\) | 1.37689e7 | − | 7.80872e7i | 0.0345355 | − | 0.195860i | ||||
\(737\) | 1.45835e8 | + | 1.22370e8i | 0.364300 | + | 0.305684i | ||||
\(738\) | 1.01785e7 | − | 1.16341e8i | 0.0253231 | − | 0.289444i | ||||
\(739\) | − | 1.43211e8i | − | 0.354850i | −0.984134 | − | 0.177425i | \(-0.943223\pi\) | ||
0.984134 | − | 0.177425i | \(-0.0567766\pi\) | |||||||
\(740\) | −1.36388e8 | − | 6.38356e7i | −0.336575 | − | 0.157532i | ||||
\(741\) | 1.82070e8 | 0.447491 | ||||||||
\(742\) | −2.43919e8 | − | 2.13402e7i | −0.597082 | − | 0.0522379i | ||||
\(743\) | 4.01199e8 | − | 4.78130e8i | 0.978122 | − | 1.16568i | −0.00805147 | − | 0.999968i | \(-0.502563\pi\) |
0.986174 | − | 0.165713i | \(-0.0529927\pi\) | |||||||
\(744\) | 3.20444e8 | + | 5.65029e7i | 0.778095 | + | 0.137199i | ||||
\(745\) | −4.33523e7 | + | 9.29693e7i | −0.104844 | + | 0.224838i | ||||
\(746\) | 4.45602e8 | − | 4.45602e8i | 1.07332 | − | 1.07332i | ||||
\(747\) | −1.55666e8 | + | 5.66579e7i | −0.373451 | + | 0.135925i | ||||
\(748\) | −2.13401e7 | − | 5.71805e6i | −0.0509907 | − | 0.0136629i | ||||
\(749\) | 3.85426e7 | + | 2.18586e8i | 0.0917266 | + | 0.520207i | ||||
\(750\) | −6.75026e6 | + | 1.16918e7i | −0.0160006 | + | 0.0277139i | ||||
\(751\) | −2.82840e8 | + | 1.63298e8i | −0.667760 | + | 0.385532i | −0.795227 | − | 0.606311i | \(-0.792649\pi\) |
0.127467 | + | 0.991843i | \(0.459315\pi\) | |||||||
\(752\) | −8.64798e7 | + | 7.25652e7i | −0.203358 | + | 0.170638i | ||||
\(753\) | 1.84923e8 | + | 2.64097e8i | 0.433117 | + | 0.618556i | ||||
\(754\) | −7.45580e8 | + | 1.99778e8i | −1.73932 | + | 0.466050i | ||||
\(755\) | 6.40089e7 | + | 1.37268e8i | 0.148730 | + | 0.318953i | ||||
\(756\) | 3.12664e7 | + | 1.13800e7i | 0.0723622 | + | 0.0263377i | ||||
\(757\) | 1.09640e8 | + | 7.67709e7i | 0.252745 | + | 0.176974i | 0.693082 | − | 0.720859i | \(-0.256252\pi\) |
−0.440337 | + | 0.897832i | \(0.645141\pi\) | |||||||
\(758\) | 5.39420e7 | + | 6.16559e8i | 0.123857 | + | 1.41569i | ||||
\(759\) | −6.17190e7 | + | 5.39972e6i | −0.141154 | + | 0.0123494i | ||||
\(760\) | −1.10508e8 | + | 1.57821e8i | −0.251740 | + | 0.359522i | ||||
\(761\) | −9.69082e6 | + | 2.66253e7i | −0.0219891 | + | 0.0604144i | −0.950202 | − | 0.311636i | \(-0.899123\pi\) |
0.928212 | + | 0.372051i | \(0.121345\pi\) | |||||||
\(762\) | 2.55782e8 | − | 1.19273e8i | 0.578102 | − | 0.269574i | ||||
\(763\) | −3.11351e7 | − | 1.16198e8i | −0.0700932 | − | 0.261591i | ||||
\(764\) | 1.80312e8 | − | 1.26256e8i | 0.404338 | − | 0.283120i | ||||
\(765\) | 1.27579e8 | + | 1.52043e8i | 0.284968 | + | 0.339611i | ||||
\(766\) | −3.72155e8 | − | 6.44591e8i | −0.828013 | − | 1.43416i | ||||
\(767\) | 2.88959e8 | + | 1.66831e8i | 0.640399 | + | 0.369735i | ||||
\(768\) | 4.01701e8 | − | 7.08308e7i | 0.886787 | − | 0.156365i | ||||
\(769\) | −9.03860e7 | + | 3.37325e8i | −0.198757 | + | 0.741771i | 0.792505 | + | 0.609865i | \(0.208776\pi\) |
−0.991262 | + | 0.131906i | \(0.957890\pi\) | |||||||
\(770\) | 3.41998e7 | + | 9.39631e7i | 0.0749119 | + | 0.205819i | ||||
\(771\) | −2.28833e8 | − | 2.28833e8i | −0.499293 | − | 0.499293i | ||||
\(772\) | 6.84108e6 | + | 3.19005e6i | 0.0148687 | + | 0.00693338i | ||||
\(773\) | 2.42157e7 | − | 1.37334e8i | 0.0524273 | − | 0.297330i | −0.947308 | − | 0.320323i | \(-0.896208\pi\) |
0.999736 | + | 0.0229931i | \(0.00731956\pi\) | |||||||
\(774\) | 2.56813e8 | + | 2.15492e8i | 0.553853 | + | 0.464738i | ||||
\(775\) | 3.13576e7 | − | 3.58419e8i | 0.0673656 | − | 0.769992i | ||||
\(776\) | − | 5.11485e8i | − | 1.09458i | ||||||
\(777\) | −2.56900e8 | − | 4.56760e7i | −0.547647 | − | 0.0973699i | ||||
\(778\) | 4.87072e8 | 1.03432 | ||||||||
\(779\) | 9.64209e7 | + | 8.43573e6i | 0.203966 | + | 0.0178447i | ||||
\(780\) | −1.34702e8 | + | 1.60532e8i | −0.283852 | + | 0.338281i | ||||
\(781\) | −1.93455e7 | − | 3.41114e6i | −0.0406095 | − | 0.00716054i | ||||
\(782\) | 5.81040e7 | − | 1.24604e8i | 0.121503 | − | 0.260563i | ||||
\(783\) | −3.54155e8 | + | 3.54155e8i | −0.737748 | + | 0.737748i | ||||
\(784\) | 4.27378e8 | − | 1.55553e8i | 0.886878 | − | 0.322797i | ||||
\(785\) | 7.77637e8 | + | 2.08367e8i | 1.60756 | + | 0.430745i | ||||
\(786\) | 5.55349e6 | + | 3.14954e7i | 0.0114366 | + | 0.0648603i | ||||
\(787\) | −1.69453e7 | + | 2.93500e7i | −0.0347635 | + | 0.0602122i | −0.882884 | − | 0.469592i | \(-0.844401\pi\) |
0.848120 | + | 0.529804i | \(0.177734\pi\) | |||||||
\(788\) | −9.57259e7 | + | 5.52674e7i | −0.195637 | + | 0.112951i | ||||
\(789\) | −6.12100e8 | + | 5.13613e8i | −1.24621 | + | 1.04569i | ||||
\(790\) | 6.90024e8 | + | 9.85456e8i | 1.39953 | + | 1.99874i | ||||
\(791\) | 3.03864e8 | − | 8.14201e7i | 0.613973 | − | 0.164514i | ||||
\(792\) | −2.49501e7 | − | 5.35057e7i | −0.0502224 | − | 0.107702i | ||||
\(793\) | −8.29570e8 | − | 3.01939e8i | −1.66354 | − | 0.605480i | ||||
\(794\) | −4.88864e8 | − | 3.42306e8i | −0.976623 | − | 0.683839i | ||||
\(795\) | −8.72110e7 | − | 9.96826e8i | −0.173568 | − | 1.98389i | ||||
\(796\) | −4.06400e7 | + | 3.55554e6i | −0.0805777 | + | 0.00704964i | ||||
\(797\) | 3.68708e7 | − | 5.26570e7i | 0.0728296 | − | 0.104011i | −0.781085 | − | 0.624425i | \(-0.785333\pi\) |
0.853914 | + | 0.520414i | \(0.174222\pi\) | |||||||
\(798\) | 4.09285e7 | − | 1.12450e8i | 0.0805411 | − | 0.221285i | ||||
\(799\) | −6.80532e7 | + | 3.17337e7i | −0.133416 | + | 0.0622129i | ||||
\(800\) | −6.71129e7 | − | 2.50469e8i | −0.131080 | − | 0.489197i | ||||
\(801\) | 2.60791e8 | − | 1.82608e8i | 0.507452 | − | 0.355321i | ||||
\(802\) | 2.29820e8 | + | 2.73889e8i | 0.445517 | + | 0.530947i | ||||
\(803\) | −1.21144e8 | − | 2.09827e8i | −0.233967 | − | 0.405242i | ||||
\(804\) | 2.27096e8 | + | 1.31114e8i | 0.436960 | + | 0.252279i | ||||
\(805\) | −1.27944e8 | + | 2.25600e7i | −0.245263 | + | 0.0432465i | ||||
\(806\) | −1.17156e8 | + | 4.37232e8i | −0.223748 | + | 0.835040i | ||||
\(807\) | 1.49284e8 | + | 4.10154e8i | 0.284048 | + | 0.780416i | ||||
\(808\) | 2.86434e7 | + | 2.86434e7i | 0.0542988 | + | 0.0542988i | ||||
\(809\) | −6.76404e8 | − | 3.15412e8i | −1.27750 | − | 0.595707i | −0.338934 | − | 0.940810i | \(-0.610066\pi\) |
−0.938565 | + | 0.345103i | \(0.887844\pi\) | |||||||
\(810\) | −1.82548e8 | + | 1.03528e9i | −0.343496 | + | 1.94806i | ||||
\(811\) | 2.05475e8 | + | 1.72414e8i | 0.385209 | + | 0.323228i | 0.814743 | − | 0.579822i | \(-0.196878\pi\) |
−0.429535 | + | 0.903050i | \(0.641322\pi\) | |||||||
\(812\) | −9.23151e6 | + | 1.05517e8i | −0.0172427 | + | 0.197085i | ||||
\(813\) | − | 3.39851e8i | − | 0.632436i | ||||||
\(814\) | 1.04849e8 | + | 1.50196e8i | 0.194398 | + | 0.278473i | ||||
\(815\) | −1.04901e9 | −1.93779 | ||||||||
\(816\) | 5.19963e8 | + | 4.54909e7i | 0.956979 | + | 0.0837248i | ||||
\(817\) | −1.78595e8 | + | 2.12841e8i | −0.327493 | + | 0.390291i | ||||
\(818\) | −3.11787e7 | − | 5.49765e6i | −0.0569637 | − | 0.0100442i | ||||
\(819\) | −4.94429e7 | + | 1.06031e8i | −0.0900020 | + | 0.193010i | ||||
\(820\) | −7.87735e7 | + | 7.87735e7i | −0.142869 | + | 0.142869i | ||||
\(821\) | 5.19163e8 | − | 1.88960e8i | 0.938154 | − | 0.341460i | 0.172718 | − | 0.984971i | \(-0.444745\pi\) |
0.765437 | + | 0.643511i | \(0.222523\pi\) | |||||||
\(822\) | −1.14645e9 | − | 3.07191e8i | −2.06414 | − | 0.553086i | ||||
\(823\) | −9.59506e7 | − | 5.44163e8i | −0.172127 | − | 0.976179i | −0.941408 | − | 0.337269i | \(-0.890497\pi\) |
0.769281 | − | 0.638910i | \(-0.220614\pi\) | |||||||
\(824\) | −1.97373e8 | + | 3.41861e8i | −0.352782 | + | 0.611037i | ||||
\(825\) | −1.75463e8 | + | 1.01304e8i | −0.312482 | + | 0.180411i | ||||
\(826\) | 1.67995e8 | − | 1.40964e8i | 0.298096 | − | 0.250132i | ||||
\(827\) | −3.21751e8 | − | 4.59509e8i | −0.568858 | − | 0.812414i | 0.426912 | − | 0.904293i | \(-0.359601\pi\) |
−0.995770 | + | 0.0918796i | \(0.970712\pi\) | |||||||
\(828\) | −2.65587e7 | + | 7.11637e6i | −0.0467859 | + | 0.0125362i | ||||
\(829\) | 5.61088e7 | + | 1.20326e8i | 0.0984845 | + | 0.211201i | 0.949377 | − | 0.314139i | \(-0.101716\pi\) |
−0.850892 | + | 0.525340i | \(0.823938\pi\) | |||||||
\(830\) | 7.11230e8 | + | 2.58867e8i | 1.24387 | + | 0.452733i | ||||
\(831\) | 1.48231e8 | + | 1.03793e8i | 0.258307 | + | 0.180869i | ||||
\(832\) | −3.02131e7 | − | 3.45337e8i | −0.0524596 | − | 0.599616i | ||||
\(833\) | 3.01358e8 | − | 2.63654e7i | 0.521372 | − | 0.0456141i | ||||
\(834\) | −3.87849e8 | + | 5.53906e8i | −0.668598 | + | 0.954857i | ||||
\(835\) | 8.38733e7 | − | 2.30440e8i | 0.144067 | − | 0.395821i | ||||
\(836\) | −1.58957e7 | + | 7.41227e6i | −0.0272057 | + | 0.0126862i | ||||
\(837\) | 7.60191e7 | + | 2.83707e8i | 0.129642 | + | 0.483831i | ||||
\(838\) | 5.82165e8 | − | 4.07636e8i | 0.989267 | − | 0.692692i | ||||
\(839\) | −1.81412e8 | − | 2.16199e8i | −0.307172 | − | 0.366073i | 0.590270 | − | 0.807206i | \(-0.299021\pi\) |
−0.897442 | + | 0.441133i | \(0.854577\pi\) | |||||||
\(840\) | −1.92120e8 | − | 3.32761e8i | −0.324141 | − | 0.561429i | ||||
\(841\) | −8.65646e8 | − | 4.99781e8i | −1.45530 | − | 0.840218i | ||||
\(842\) | 8.69541e8 | − | 1.53323e8i | 1.45664 | − | 0.256846i | ||||
\(843\) | 2.96382e8 | − | 1.10611e9i | 0.494732 | − | 1.84636i | ||||
\(844\) | −7.75735e7 | − | 2.13132e8i | −0.129029 | − | 0.354503i | ||||
\(845\) | −2.57668e7 | − | 2.57668e7i | −0.0427061 | − | 0.0427061i | ||||
\(846\) | 6.51872e7 | + | 3.03973e7i | 0.107659 | + | 0.0502023i | ||||
\(847\) | −4.39110e7 | + | 2.49032e8i | −0.0722642 | + | 0.409830i | ||||
\(848\) | −6.49472e8 | − | 5.44972e8i | −1.06506 | − | 0.893690i | ||||
\(849\) | −8.35498e7 | + | 9.54979e8i | −0.136528 | + | 1.56052i | ||||
\(850\) | − | 4.49613e8i | − | 0.732120i | ||||||
\(851\) | −2.15834e8 | + | 1.00271e8i | −0.350212 | + | 0.162700i | ||||
\(852\) | −2.70583e7 | −0.0437504 | ||||||||
\(853\) | 8.80803e8 | + | 7.70603e7i | 1.41916 | + | 0.124161i | 0.770754 | − | 0.637133i | \(-0.219880\pi\) |
0.648407 | + | 0.761294i | \(0.275435\pi\) | |||||||
\(854\) | −3.72967e8 | + | 4.44485e8i | −0.598821 | + | 0.713647i | ||||
\(855\) | 1.55173e8 | + | 2.73611e7i | 0.248266 | + | 0.0437760i | ||||
\(856\) | −2.53039e8 | + | 5.42644e8i | −0.403428 | + | 0.865154i | ||||
\(857\) | −8.15181e8 | + | 8.15181e8i | −1.29513 | + | 1.29513i | −0.363551 | + | 0.931574i | \(0.618436\pi\) |
−0.931574 | + | 0.363551i | \(0.881564\pi\) | |||||||
\(858\) | 2.39532e8 | − | 8.71824e7i | 0.379229 | − | 0.138028i | ||||
\(859\) | 7.20082e8 | + | 1.92945e8i | 1.13606 | + | 0.304407i | 0.777367 | − | 0.629048i | \(-0.216555\pi\) |
0.358696 | + | 0.933455i | \(0.383222\pi\) | |||||||
\(860\) | −5.55315e7 | − | 3.14935e8i | −0.0873060 | − | 0.495137i | ||||
\(861\) | −9.65156e7 | + | 1.67170e8i | −0.151213 | + | 0.261908i | ||||
\(862\) | 1.04614e9 | − | 6.03987e8i | 1.63330 | − | 0.942987i | ||||
\(863\) | 5.74030e8 | − | 4.81668e8i | 0.893104 | − | 0.749403i | −0.0757262 | − | 0.997129i | \(-0.524127\pi\) |
0.968830 | + | 0.247725i | \(0.0796830\pi\) | |||||||
\(864\) | 1.21417e8 | + | 1.73402e8i | 0.188252 | + | 0.268851i | ||||
\(865\) | 7.22002e8 | − | 1.93460e8i | 1.11555 | − | 0.298911i | ||||
\(866\) | 3.91535e7 | + | 8.39649e7i | 0.0602860 | + | 0.129284i | ||||
\(867\) | −4.17626e8 | − | 1.52004e8i | −0.640812 | − | 0.233236i | ||||
\(868\) | 5.08814e7 | + | 3.56276e7i | 0.0778037 | + | 0.0544787i | ||||
\(869\) | −2.66274e7 | − | 3.04353e8i | −0.0405761 | − | 0.463787i | ||||
\(870\) | −2.06540e9 | + | 1.80699e8i | −3.13651 | + | 0.274409i | ||||
\(871\) | 5.83712e8 | − | 8.33627e8i | 0.883372 | − | 1.26159i | ||||
\(872\) | 1.10987e8 | − | 3.04935e8i | 0.167388 | − | 0.459894i | ||||
\(873\) | −3.79115e8 | + | 1.76784e8i | −0.569808 | + | 0.265706i | ||||
\(874\) | −2.82491e7 | − | 1.05427e8i | −0.0423127 | − | 0.157913i | ||||
\(875\) | 5.88937e6 | − | 4.12378e6i | 0.00879113 | − | 0.00615562i | ||||
\(876\) | −2.14521e8 | − | 2.55656e8i | −0.319123 | − | 0.380316i | ||||
\(877\) | 2.18253e7 | + | 3.78025e7i | 0.0323565 | + | 0.0560431i | 0.881750 | − | 0.471717i | \(-0.156365\pi\) |
−0.849394 | + | 0.527760i | \(0.823032\pi\) | |||||||
\(878\) | 4.98421e8 | + | 2.87763e8i | 0.736398 | + | 0.425159i | ||||
\(879\) | 7.19913e8 | − | 1.26940e8i | 1.06002 | − | 0.186910i | ||||
\(880\) | −8.96134e7 | + | 3.34442e8i | −0.131500 | + | 0.490764i | ||||
\(881\) | −1.37948e8 | − | 3.79008e8i | −0.201737 | − | 0.554269i | 0.797028 | − | 0.603942i | \(-0.206404\pi\) |
−0.998766 | + | 0.0496733i | \(0.984182\pi\) | |||||||
\(882\) | −2.04898e8 | − | 2.04898e8i | −0.298629 | − | 0.298629i | ||||
\(883\) | −5.92832e8 | − | 2.76442e8i | −0.861092 | − | 0.401534i | −0.0586607 | − | 0.998278i | \(-0.518683\pi\) |
−0.802432 | + | 0.596744i | \(0.796461\pi\) | |||||||
\(884\) | −2.05079e7 | + | 1.16306e8i | −0.0296869 | + | 0.168363i | ||||
\(885\) | 6.86546e8 | + | 5.76080e8i | 0.990466 | + | 0.831100i | ||||
\(886\) | −2.77405e7 | + | 3.17076e8i | −0.0398854 | + | 0.455892i | ||||
\(887\) | 5.96329e8i | 0.854506i | 0.904132 | + | 0.427253i | \(0.140519\pi\) | ||||
−0.904132 | + | 0.427253i | \(0.859481\pi\) | |||||||
\(888\) | −4.96999e8 | − | 4.98418e8i | −0.709769 | − | 0.711795i | ||||
\(889\) | −1.50296e8 | −0.213916 | ||||||||
\(890\) | −1.44906e9 | − | 1.26777e8i | −2.05550 | − | 0.179833i | ||||
\(891\) | 1.71607e8 | − | 2.04513e8i | 0.242606 | − | 0.289126i | ||||
\(892\) | 2.03387e8 | + | 3.58626e7i | 0.286569 | + | 0.0505298i | ||||
\(893\) | −2.51926e7 | + | 5.40256e7i | −0.0353767 | + | 0.0758657i | ||||
\(894\) | 1.21532e8 | − | 1.21532e8i | 0.170090 | − | 0.170090i | ||||
\(895\) | −6.49990e8 | + | 2.36577e8i | −0.906645 | + | 0.329992i | ||||
\(896\) | −3.83952e8 | − | 1.02880e8i | −0.533768 | − | 0.143023i | ||||
\(897\) | 5.75101e7 | + | 3.26156e8i | 0.0796832 | + | 0.451906i | ||||
\(898\) | 3.52209e8 | − | 6.10043e8i | 0.486375 | − | 0.842426i | ||||
\(899\) | −8.09733e8 | + | 4.67500e8i | −1.11446 | + | 0.643432i | ||||
\(900\) | −6.88807e7 | + | 5.77977e7i | −0.0944865 | + | 0.0792836i | ||||
\(901\) | −3.23452e8 | − | 4.61937e8i | −0.442217 | − | 0.631552i | ||||
\(902\) | 1.30891e8 | − | 3.50721e7i | 0.178357 | − | 0.0477905i | ||||
\(903\) | −2.34180e8 | − | 5.02201e8i | −0.318043 | − | 0.682046i | ||||
\(904\) | 7.97425e8 | + | 2.90239e8i | 1.07940 | + | 0.392871i | ||||
\(905\) | 1.56551e9 | + | 1.09618e9i | 2.11208 | + | 1.47889i | ||||
\(906\) | −2.21172e7 | − | 2.52800e8i | −0.0297403 | − | 0.339933i | ||||
\(907\) | 6.74253e8 | − | 5.89895e7i | 0.903651 | − | 0.0790592i | 0.374150 | − | 0.927368i | \(-0.377935\pi\) |
0.529501 | + | 0.848309i | \(0.322379\pi\) | |||||||
\(908\) | −7.17850e6 | + | 1.02520e7i | −0.00958906 | + | 0.0136946i | ||||
\(909\) | 1.13306e7 | − | 3.11306e7i | 0.0150856 | − | 0.0414473i | ||||
\(910\) | 4.84447e8 | − | 2.25901e8i | 0.642869 | − | 0.299775i | ||||
\(911\) | 2.41266e8 | + | 9.00416e8i | 0.319110 | + | 1.19093i | 0.920102 | + | 0.391679i | \(0.128106\pi\) |
−0.600992 | + | 0.799255i | \(0.705228\pi\) | |||||||
\(912\) | 3.39425e8 | − | 2.37668e8i | 0.447466 | − | 0.313319i | ||||
\(913\) | −1.23553e8 | − | 1.47244e8i | −0.162345 | − | 0.193476i | ||||
\(914\) | 4.16961e8 | + | 7.22197e8i | 0.546080 | + | 0.945839i | ||||
\(915\) | −2.05356e9 | − | 1.18562e9i | −2.68067 | − | 1.54769i | ||||
\(916\) | 1.80491e8 | − | 3.18255e7i | 0.234839 | − | 0.0414084i | ||||
\(917\) | 4.40804e6 | − | 1.64510e7i | 0.00571660 | − | 0.0213346i | ||||
\(918\) | 1.25536e8 | + | 3.44908e8i | 0.162271 | + | 0.445837i | ||||
\(919\) | 2.01780e8 | + | 2.01780e8i | 0.259975 | + | 0.259975i | 0.825044 | − | 0.565069i | \(-0.191150\pi\) |
−0.565069 | + | 0.825044i | \(0.691150\pi\) | |||||||
\(920\) | −3.17623e8 | − | 1.48110e8i | −0.407895 | − | 0.190205i | ||||
\(921\) | −2.73925e8 | + | 1.55351e9i | −0.350634 | + | 1.98854i | ||||
\(922\) | −3.00182e8 | − | 2.51883e8i | −0.382994 | − | 0.321371i | ||||
\(923\) | −9.15217e6 | + | 1.04610e8i | −0.0116391 | + | 0.133035i | ||||
\(924\) | − | 3.49787e7i | − | 0.0443392i | ||||||
\(925\) | −5.01120e8 | + | 5.95486e8i | −0.633164 | + | 0.752395i | ||||
\(926\) | 3.28828e8 | 0.414129 | ||||||||
\(927\) | 3.21607e8 | + | 2.81369e7i | 0.403725 | + | 0.0353214i | ||||
\(928\) | −4.33153e8 | + | 5.16212e8i | −0.541998 | + | 0.645928i | ||||
\(929\) | 5.63437e8 | + | 9.93491e7i | 0.702746 | + | 0.123913i | 0.513592 | − | 0.858034i | \(-0.328314\pi\) |
0.189154 | + | 0.981948i | \(0.439426\pi\) | |||||||
\(930\) | −5.13838e8 | + | 1.10193e9i | −0.638818 | + | 1.36995i | ||||
\(931\) | 1.69814e8 | − | 1.69814e8i | 0.210439 | − | 0.210439i | ||||
\(932\) | 3.10691e6 | − | 1.13082e6i | 0.00383778 | − | 0.00139684i | ||||
\(933\) | 3.07114e8 | + | 8.22910e7i | 0.378142 | + | 0.101323i | ||||
\(934\) | −1.46527e8 | − | 8.30996e8i | −0.179836 | − | 1.01990i | ||||
\(935\) | −1.15149e8 | + | 1.99443e8i | −0.140872 | + | 0.243997i | ||||
\(936\) | −2.73309e8 | + | 1.57795e8i | −0.333294 | + | 0.192427i | ||||
\(937\) | 7.68877e6 | − | 6.45165e6i | 0.00934627 | − | 0.00784245i | −0.638103 | − | 0.769951i | \(-0.720280\pi\) |
0.647449 | + | 0.762109i | \(0.275836\pi\) | |||||||
\(938\) | −3.83649e8 | − | 5.47907e8i | −0.464863 | − | 0.663894i | ||||
\(939\) | 9.42376e8 | − | 2.52509e8i | 1.13822 | − | 0.304986i | ||||
\(940\) | −2.89962e7 | − | 6.21825e7i | −0.0349106 | − | 0.0748660i | ||||
\(941\) | 7.48659e8 | + | 2.72489e8i | 0.898494 | + | 0.327025i | 0.749649 | − | 0.661836i | \(-0.230222\pi\) |
0.148845 | + | 0.988861i | \(0.452445\pi\) | |||||||
\(942\) | −1.10494e9 | − | 7.73688e8i | −1.32186 | − | 0.925578i | ||||
\(943\) | 1.53447e7 | + | 1.75391e8i | 0.0182988 | + | 0.209156i | ||||
\(944\) | 7.56469e8 | − | 6.61825e7i | 0.899239 | − | 0.0786733i | ||||
\(945\) | 1.98939e8 | − | 2.84114e8i | 0.235735 | − | 0.336665i | ||||
\(946\) | −1.33043e8 | + | 3.65532e8i | −0.157151 | + | 0.431769i | ||||
\(947\) | −5.88891e7 | + | 2.74605e7i | −0.0693402 | + | 0.0323339i | −0.456979 | − | 0.889477i | \(-0.651069\pi\) |
0.387639 | + | 0.921811i | \(0.373291\pi\) | |||||||
\(948\) | −1.08918e8 | − | 4.06489e8i | −0.127843 | − | 0.477116i | ||||
\(949\) | −1.06095e9 | + | 7.42885e8i | −1.24136 | + | 0.869206i | ||||
\(950\) | −2.29434e8 | − | 2.73429e8i | −0.267600 | − | 0.318914i | ||||
\(951\) | 7.21491e8 | + | 1.24966e9i | 0.838860 | + | 1.45295i | ||||
\(952\) | −1.87532e8 | − | 1.08272e8i | −0.217353 | − | 0.125489i | ||||
\(953\) | 1.10783e9 | − | 1.95341e8i | 1.27996 | − | 0.225691i | 0.507997 | − | 0.861359i | \(-0.330386\pi\) |
0.771963 | + | 0.635667i | \(0.219275\pi\) | |||||||
\(954\) | −1.39807e8 | + | 5.21767e8i | −0.161021 | + | 0.600940i | ||||
\(955\) | −7.84780e8 | − | 2.15617e9i | −0.901027 | − | 2.47555i | ||||
\(956\) | −6.39042e7 | − | 6.39042e7i | −0.0731401 | − | 0.0731401i | ||||
\(957\) | 4.77195e8 | + | 2.22520e8i | 0.544453 | + | 0.253882i | ||||
\(958\) | 3.26579e8 | − | 1.85212e9i | 0.371442 | − | 2.10655i | ||||
\(959\) | 4.84194e8 | + | 4.06287e8i | 0.548989 | + | 0.460656i | ||||
\(960\) | 8.11529e7 | − | 9.27582e8i | 0.0917256 | − | 1.04843i | ||||
\(961\) | − | 3.39189e8i | − | 0.382184i | ||||||
\(962\) | 7.50985e8 | − | 6.28330e8i | 0.843541 | − | 0.705769i | ||||
\(963\) | 4.89668e8 | 0.548306 | ||||||||
\(964\) | −5.35854e7 | − | 4.68812e6i | −0.0598158 | − | 0.00523320i | ||||
\(965\) | 5.05770e7 | − | 6.02753e7i | 0.0562822 | − | 0.0670745i | ||||
\(966\) | 2.14369e8 | + | 3.77990e7i | 0.237810 | + | 0.0419323i | ||||
\(967\) | −7.14850e7 | + | 1.53300e8i | −0.0790562 | + | 0.169537i | −0.941863 | − | 0.335997i | \(-0.890927\pi\) |
0.862807 | + | 0.505534i | \(0.168704\pi\) | |||||||
\(968\) | −4.82344e8 | + | 4.82344e8i | −0.531778 | + | 0.531778i | ||||
\(969\) | 2.58987e8 | − | 9.42634e7i | 0.284647 | − | 0.103603i | ||||
\(970\) | 1.84610e9 | + | 4.94660e8i | 2.02274 | + | 0.541991i | ||||
\(971\) | −9.03616e7 | − | 5.12466e8i | −0.0987021 | − | 0.559767i | −0.993550 | − | 0.113396i | \(-0.963827\pi\) |
0.894848 | − | 0.446371i | \(-0.147284\pi\) | |||||||
\(972\) | 1.06657e8 | − | 1.84736e8i | 0.116143 | − | 0.201165i | ||||
\(973\) | 3.11858e8 | − | 1.80051e8i | 0.338546 | − | 0.195460i | ||||
\(974\) | 1.34101e8 | − | 1.12524e8i | 0.145130 | − | 0.121778i | ||||
\(975\) | 6.21221e8 | + | 8.87196e8i | 0.670243 | + | 0.957207i | ||||
\(976\) | −1.94067e9 | + | 5.20001e8i | −2.08738 | + | 0.559313i | ||||
\(977\) | −5.97731e8 | − | 1.28184e9i | −0.640947 | − | 1.37452i | −0.911296 | − | 0.411753i | \(-0.864917\pi\) |
0.270348 | − | 0.962763i | \(-0.412861\pi\) | |||||||
\(978\) | 1.65161e9 | + | 6.01135e8i | 1.76559 | + | 0.642622i | ||||
\(979\) | 3.02599e8 | + | 2.11882e8i | 0.322493 | + | 0.225812i | ||||
\(980\) | 2.40910e7 | + | 2.75361e8i | 0.0255962 | + | 0.292566i | ||||
\(981\) | −2.64380e8 | + | 2.31302e7i | −0.280041 | + | 0.0245004i | ||||
\(982\) | 2.25971e8 | − | 3.22720e8i | 0.238626 | − | 0.340793i | ||||
\(983\) | −1.18766e8 | + | 3.26308e8i | −0.125035 | + | 0.343532i | −0.986378 | − | 0.164492i | \(-0.947402\pi\) |
0.861343 | + | 0.508024i | \(0.169624\pi\) | |||||||
\(984\) | −4.71924e8 | + | 2.20062e8i | −0.495321 | + | 0.230972i | ||||
\(985\) | 2.98217e8 | + | 1.11296e9i | 0.312049 | + | 1.16458i | ||||
\(986\) | −9.57123e8 | + | 6.70185e8i | −0.998474 | + | 0.699139i | ||||
\(987\) | −7.64174e7 | − | 9.10707e7i | −0.0794769 | − | 0.0947168i | ||||
\(988\) | 4.68783e7 | + | 8.11957e7i | 0.0486073 | + | 0.0841903i | ||||
\(989\) | −4.37690e8 | − | 2.52700e8i | −0.452457 | − | 0.261226i | ||||
\(990\) | 2.17247e8 | − | 3.83065e7i | 0.223897 | − | 0.0394791i | ||||
\(991\) | −4.12678e8 | + | 1.54013e9i | −0.424023 | + | 1.58248i | 0.342023 | + | 0.939692i | \(0.388888\pi\) |
−0.766046 | + | 0.642785i | \(0.777779\pi\) | |||||||
\(992\) | 1.35159e8 | + | 3.71345e8i | 0.138455 | + | 0.380402i | ||||
\(993\) | 1.90786e8 | + | 1.90786e8i | 0.194849 | + | 0.194849i | ||||
\(994\) | 6.25517e7 | + | 2.91683e7i | 0.0636913 | + | 0.0296997i | ||||
\(995\) | −7.38443e7 | + | 4.18792e8i | −0.0749631 | + | 0.425137i | ||||
\(996\) | −2.02820e8 | − | 1.70186e8i | −0.205273 | − | 0.172245i | ||||
\(997\) | −1.24018e8 | + | 1.41754e9i | −0.125141 | + | 1.43037i | 0.630909 | + | 0.775857i | \(0.282682\pi\) |
−0.756050 | + | 0.654513i | \(0.772874\pi\) | |||||||
\(998\) | 1.22998e9i | 1.23738i | ||||||||
\(999\) | 2.18155e8 | − | 5.96728e8i | 0.218811 | − | 0.598522i |
(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 | 37.7.i.a.2.4 | ✓ | 216 | |
37.19 | odd | 36 | inner | 37.7.i.a.19.4 | yes | 216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
37.7.i.a.2.4 | ✓ | 216 | 1.1 | even | 1 | trivial | |
37.7.i.a.19.4 | yes | 216 | 37.19 | odd | 36 | inner |