Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,6,Mod(4,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.4");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.e (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.29266605383\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - x^{19} + 78 x^{18} + 79 x^{17} + 10573 x^{16} - 33409 x^{15} + 1262953 x^{14} - 1581925 x^{13} + 89291182 x^{12} - 100741271 x^{11} + 2277268901 x^{10} + \cdots + 25599187870096 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{4}\cdot 11^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 4.2 | ||
Root | \(-3.89647 + 2.83095i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 33.4 |
Dual form | 33.6.e.b.25.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.08746 | − | 2.24317i | −0.545791 | − | 0.396540i | 0.280441 | − | 0.959871i | \(-0.409519\pi\) |
−0.826231 | + | 0.563331i | \(0.809519\pi\) | |||||||
\(3\) | −2.78115 | + | 8.55951i | −0.178411 | + | 0.549093i | ||||
\(4\) | −5.38796 | − | 16.5824i | −0.168374 | − | 0.518201i | ||||
\(5\) | 3.77724 | − | 2.74432i | 0.0675692 | − | 0.0490919i | −0.553488 | − | 0.832857i | \(-0.686703\pi\) |
0.621057 | + | 0.783765i | \(0.286703\pi\) | |||||||
\(6\) | 27.7871 | − | 20.1885i | 0.315112 | − | 0.228943i | ||||
\(7\) | 49.4196 | + | 152.098i | 0.381201 | + | 1.17322i | 0.939199 | + | 0.343374i | \(0.111570\pi\) |
−0.557998 | + | 0.829842i | \(0.688430\pi\) | |||||||
\(8\) | −58.2998 | + | 179.428i | −0.322064 | + | 0.991211i | ||||
\(9\) | −65.5304 | − | 47.6106i | −0.269672 | − | 0.195928i | ||||
\(10\) | −17.8180 | −0.0563456 | ||||||||
\(11\) | 85.6495 | + | 392.065i | 0.213424 | + | 0.976960i | ||||
\(12\) | 156.922 | 0.314580 | ||||||||
\(13\) | 821.799 | + | 597.072i | 1.34867 | + | 0.979869i | 0.999076 | + | 0.0429698i | \(0.0136819\pi\) |
0.349598 | + | 0.936900i | \(0.386318\pi\) | |||||||
\(14\) | 188.600 | − | 580.452i | 0.257171 | − | 0.791492i | ||||
\(15\) | 12.9850 | + | 39.9637i | 0.0149009 | + | 0.0458603i | ||||
\(16\) | 131.099 | − | 95.2491i | 0.128027 | − | 0.0930167i | ||||
\(17\) | −1647.76 | + | 1197.17i | −1.38284 | + | 1.00469i | −0.386228 | + | 0.922403i | \(0.626222\pi\) |
−0.996609 | + | 0.0822865i | \(0.973778\pi\) | |||||||
\(18\) | 95.5236 | + | 293.991i | 0.0694911 | + | 0.213872i | ||||
\(19\) | 919.594 | − | 2830.22i | 0.584402 | − | 1.79861i | −0.0172548 | − | 0.999851i | \(-0.505493\pi\) |
0.601657 | − | 0.798754i | \(-0.294507\pi\) | |||||||
\(20\) | −65.8591 | − | 47.8494i | −0.0368164 | − | 0.0267487i | ||||
\(21\) | −1439.33 | −0.712215 | ||||||||
\(22\) | 615.029 | − | 1402.61i | 0.270919 | − | 0.617847i | ||||
\(23\) | −1906.44 | −0.751456 | −0.375728 | − | 0.926730i | \(-0.622607\pi\) | ||||
−0.375728 | + | 0.926730i | \(0.622607\pi\) | |||||||
\(24\) | −1373.68 | − | 998.036i | −0.486807 | − | 0.353686i | ||||
\(25\) | −958.942 | + | 2951.32i | −0.306861 | + | 0.944422i | ||||
\(26\) | −1197.94 | − | 3686.87i | −0.347536 | − | 1.06961i | ||||
\(27\) | 589.773 | − | 428.495i | 0.155695 | − | 0.113119i | ||||
\(28\) | 2255.88 | − | 1638.99i | 0.543777 | − | 0.395077i | ||||
\(29\) | −487.060 | − | 1499.02i | −0.107544 | − | 0.330988i | 0.882775 | − | 0.469796i | \(-0.155673\pi\) |
−0.990319 | + | 0.138809i | \(0.955673\pi\) | |||||||
\(30\) | 49.5547 | − | 152.514i | 0.0100527 | − | 0.0309389i | ||||
\(31\) | 1910.76 | + | 1388.25i | 0.357109 | + | 0.259455i | 0.751845 | − | 0.659340i | \(-0.229164\pi\) |
−0.394736 | + | 0.918794i | \(0.629164\pi\) | |||||||
\(32\) | 5418.77 | 0.935461 | ||||||||
\(33\) | −3594.09 | − | 357.275i | −0.574519 | − | 0.0571108i | ||||
\(34\) | 7772.83 | 1.15314 | ||||||||
\(35\) | 604.075 | + | 438.886i | 0.0833529 | + | 0.0605594i | ||||
\(36\) | −436.425 | + | 1343.18i | −0.0561246 | + | 0.172734i | ||||
\(37\) | 1230.94 | + | 3788.44i | 0.147819 | + | 0.454942i | 0.997363 | − | 0.0725773i | \(-0.0231224\pi\) |
−0.849543 | + | 0.527519i | \(0.823122\pi\) | |||||||
\(38\) | −9187.87 | + | 6675.37i | −1.03218 | + | 0.749923i | ||||
\(39\) | −7396.19 | + | 5373.65i | −0.778658 | + | 0.565728i | ||||
\(40\) | 272.197 | + | 837.737i | 0.0268988 | + | 0.0827861i | ||||
\(41\) | 1063.73 | − | 3273.84i | 0.0988265 | − | 0.304157i | −0.889406 | − | 0.457119i | \(-0.848881\pi\) |
0.988232 | + | 0.152962i | \(0.0488813\pi\) | |||||||
\(42\) | 4443.86 | + | 3228.65i | 0.388720 | + | 0.282422i | ||||
\(43\) | −2635.68 | −0.217381 | −0.108691 | − | 0.994076i | \(-0.534666\pi\) | ||||
−0.108691 | + | 0.994076i | \(0.534666\pi\) | |||||||
\(44\) | 6039.92 | − | 3532.71i | 0.470326 | − | 0.275091i | ||||
\(45\) | −378.182 | −0.0278401 | ||||||||
\(46\) | 5886.06 | + | 4276.47i | 0.410138 | + | 0.297983i | ||||
\(47\) | −5004.26 | + | 15401.5i | −0.330442 | + | 1.01700i | 0.638482 | + | 0.769637i | \(0.279563\pi\) |
−0.968924 | + | 0.247359i | \(0.920437\pi\) | |||||||
\(48\) | 450.679 | + | 1387.05i | 0.0282335 | + | 0.0868937i | ||||
\(49\) | −7094.31 | + | 5154.32i | −0.422104 | + | 0.306677i | ||||
\(50\) | 9581.00 | − | 6961.01i | 0.541983 | − | 0.393774i | ||||
\(51\) | −5664.49 | − | 17433.5i | −0.304954 | − | 0.938553i | ||||
\(52\) | 5473.08 | − | 16844.4i | 0.280688 | − | 0.863869i | ||||
\(53\) | 17823.6 | + | 12949.6i | 0.871576 | + | 0.633237i | 0.931009 | − | 0.364995i | \(-0.118929\pi\) |
−0.0594334 | + | 0.998232i | \(0.518929\pi\) | |||||||
\(54\) | −2782.09 | −0.129833 | ||||||||
\(55\) | 1399.47 | + | 1245.87i | 0.0623817 | + | 0.0555350i | ||||
\(56\) | −30171.8 | −1.28568 | ||||||||
\(57\) | 21667.7 | + | 15742.5i | 0.883337 | + | 0.641782i | ||||
\(58\) | −1858.77 | + | 5720.71i | −0.0725531 | + | 0.223296i | ||||
\(59\) | −9001.20 | − | 27702.8i | −0.336644 | − | 1.03608i | −0.965907 | − | 0.258890i | \(-0.916643\pi\) |
0.629263 | − | 0.777192i | \(-0.283357\pi\) | |||||||
\(60\) | 592.732 | − | 430.645i | 0.0212559 | − | 0.0154433i | ||||
\(61\) | −3584.49 | + | 2604.29i | −0.123340 | + | 0.0896116i | −0.647745 | − | 0.761857i | \(-0.724288\pi\) |
0.524405 | + | 0.851469i | \(0.324288\pi\) | |||||||
\(62\) | −2785.31 | − | 8572.30i | −0.0920225 | − | 0.283216i | ||||
\(63\) | 4002.99 | − | 12319.9i | 0.127067 | − | 0.391072i | ||||
\(64\) | −20925.4 | − | 15203.2i | −0.638592 | − | 0.463964i | ||||
\(65\) | 4742.69 | 0.139233 | ||||||||
\(66\) | 10295.2 | + | 9165.23i | 0.290920 | + | 0.258990i | ||||
\(67\) | −28092.8 | −0.764555 | −0.382278 | − | 0.924048i | \(-0.624860\pi\) | ||||
−0.382278 | + | 0.924048i | \(0.624860\pi\) | |||||||
\(68\) | 28730.0 | + | 20873.5i | 0.753464 | + | 0.547424i | ||||
\(69\) | 5302.10 | − | 16318.2i | 0.134068 | − | 0.412619i | ||||
\(70\) | −880.560 | − | 2710.08i | −0.0214790 | − | 0.0661055i | ||||
\(71\) | 4871.81 | − | 3539.58i | 0.114695 | − | 0.0833308i | −0.528959 | − | 0.848647i | \(-0.677418\pi\) |
0.643654 | + | 0.765316i | \(0.277418\pi\) | |||||||
\(72\) | 12363.1 | − | 8982.32i | 0.281058 | − | 0.204201i | ||||
\(73\) | −14764.6 | − | 45440.8i | −0.324276 | − | 0.998020i | −0.971766 | − | 0.235946i | \(-0.924181\pi\) |
0.647490 | − | 0.762074i | \(-0.275819\pi\) | |||||||
\(74\) | 4697.64 | − | 14457.8i | 0.0997241 | − | 0.306919i | ||||
\(75\) | −22594.9 | − | 16416.1i | −0.463828 | − | 0.336991i | ||||
\(76\) | −51886.6 | −1.03044 | ||||||||
\(77\) | −55399.5 | + | 32402.8i | −1.06483 | + | 0.622810i | ||||
\(78\) | 34889.4 | 0.649318 | ||||||||
\(79\) | 43127.4 | + | 31333.9i | 0.777473 | + | 0.564867i | 0.904220 | − | 0.427068i | \(-0.140453\pi\) |
−0.126746 | + | 0.991935i | \(0.540453\pi\) | |||||||
\(80\) | 233.798 | − | 719.557i | 0.00408429 | − | 0.0125701i | ||||
\(81\) | 2027.46 | + | 6239.88i | 0.0343352 | + | 0.105673i | ||||
\(82\) | −10628.0 | + | 7721.70i | −0.174549 | + | 0.126817i | ||||
\(83\) | 65158.7 | − | 47340.6i | 1.03819 | − | 0.754290i | 0.0682592 | − | 0.997668i | \(-0.478256\pi\) |
0.969932 | + | 0.243378i | \(0.0782555\pi\) | |||||||
\(84\) | 7755.03 | + | 23867.5i | 0.119918 | + | 0.369070i | ||||
\(85\) | −2938.56 | + | 9043.95i | −0.0441151 | + | 0.135772i | ||||
\(86\) | 8137.56 | + | 5912.29i | 0.118645 | + | 0.0862004i | ||||
\(87\) | 14185.4 | 0.200930 | ||||||||
\(88\) | −75341.0 | − | 7489.37i | −1.03711 | − | 0.103095i | ||||
\(89\) | 37942.9 | 0.507756 | 0.253878 | − | 0.967236i | \(-0.418294\pi\) | ||||
0.253878 | + | 0.967236i | \(0.418294\pi\) | |||||||
\(90\) | 1167.62 | + | 848.327i | 0.0151948 | + | 0.0110397i | ||||
\(91\) | −50200.4 | + | 154501.i | −0.635482 | + | 1.95581i | ||||
\(92\) | 10271.8 | + | 31613.4i | 0.126525 | + | 0.389405i | ||||
\(93\) | −17196.8 | + | 12494.2i | −0.206177 | + | 0.149796i | ||||
\(94\) | 49998.6 | − | 36326.1i | 0.583631 | − | 0.424033i | ||||
\(95\) | −4293.51 | − | 13214.1i | −0.0488094 | − | 0.150220i | ||||
\(96\) | −15070.4 | + | 46382.0i | −0.166897 | + | 0.513655i | ||||
\(97\) | 78089.3 | + | 56735.2i | 0.842679 | + | 0.612242i | 0.923118 | − | 0.384518i | \(-0.125632\pi\) |
−0.0804389 | + | 0.996760i | \(0.525632\pi\) | |||||||
\(98\) | 33465.4 | 0.351990 | ||||||||
\(99\) | 13053.8 | − | 29770.0i | 0.133860 | − | 0.305275i | ||||
\(100\) | 54106.8 | 0.541068 | ||||||||
\(101\) | 120205. | + | 87334.4i | 1.17252 | + | 0.851886i | 0.991309 | − | 0.131557i | \(-0.0419978\pi\) |
0.181213 | + | 0.983444i | \(0.441998\pi\) | |||||||
\(102\) | −21617.4 | + | 66531.6i | −0.205733 | + | 0.633180i | ||||
\(103\) | −46107.0 | − | 141903.i | −0.428227 | − | 1.31795i | −0.899870 | − | 0.436158i | \(-0.856339\pi\) |
0.471643 | − | 0.881790i | \(-0.343661\pi\) | |||||||
\(104\) | −155042. | + | 112645.i | −1.40562 | + | 1.02124i | ||||
\(105\) | −5436.67 | + | 3949.97i | −0.0481238 | + | 0.0349640i | ||||
\(106\) | −25981.4 | − | 79962.6i | −0.224594 | − | 0.691230i | ||||
\(107\) | 21316.2 | − | 65604.4i | 0.179990 | − | 0.553954i | −0.819836 | − | 0.572599i | \(-0.805935\pi\) |
0.999826 | + | 0.0186451i | \(0.00593526\pi\) | |||||||
\(108\) | −10283.2 | − | 7471.16i | −0.0848335 | − | 0.0616352i | ||||
\(109\) | 107017. | 0.862752 | 0.431376 | − | 0.902172i | \(-0.358028\pi\) | ||||
0.431376 | + | 0.902172i | \(0.358028\pi\) | |||||||
\(110\) | −1526.11 | − | 6985.83i | −0.0120255 | − | 0.0550473i | ||||
\(111\) | −35850.6 | −0.276178 | ||||||||
\(112\) | 20966.1 | + | 15232.7i | 0.157933 | + | 0.114745i | ||||
\(113\) | 56341.2 | − | 173400.i | 0.415078 | − | 1.27748i | −0.497103 | − | 0.867692i | \(-0.665603\pi\) |
0.912181 | − | 0.409788i | \(-0.134397\pi\) | |||||||
\(114\) | −31585.1 | − | 97208.8i | −0.227625 | − | 0.700557i | ||||
\(115\) | −7201.08 | + | 5231.89i | −0.0507753 | + | 0.0368904i | ||||
\(116\) | −22233.1 | + | 16153.3i | −0.153410 | + | 0.111459i | ||||
\(117\) | −25425.8 | − | 78252.7i | −0.171716 | − | 0.528487i | ||||
\(118\) | −34351.3 | + | 105723.i | −0.227111 | + | 0.698977i | ||||
\(119\) | −263518. | − | 191457.i | −1.70586 | − | 1.23938i | ||||
\(120\) | −7927.64 | −0.0502563 | ||||||||
\(121\) | −146379. | + | 67160.4i | −0.908900 | + | 0.417013i | ||||
\(122\) | 16908.8 | 0.102852 | ||||||||
\(123\) | 25064.0 | + | 18210.1i | 0.149378 | + | 0.108530i | ||||
\(124\) | 12725.4 | − | 39164.8i | 0.0743220 | − | 0.228740i | ||||
\(125\) | 8985.90 | + | 27655.7i | 0.0514383 | + | 0.158311i | ||||
\(126\) | −39994.7 | + | 29057.9i | −0.224428 | + | 0.163056i | ||||
\(127\) | 174180. | − | 126549.i | 0.958272 | − | 0.696226i | 0.00552360 | − | 0.999985i | \(-0.498242\pi\) |
0.952749 | + | 0.303759i | \(0.0982418\pi\) | |||||||
\(128\) | −23080.8 | − | 71035.4i | −0.124516 | − | 0.383221i | ||||
\(129\) | 7330.24 | − | 22560.2i | 0.0387832 | − | 0.119363i | ||||
\(130\) | −14642.8 | − | 10638.6i | −0.0759918 | − | 0.0552113i | ||||
\(131\) | −211266. | −1.07560 | −0.537800 | − | 0.843072i | \(-0.680744\pi\) | ||||
−0.537800 | + | 0.843072i | \(0.680744\pi\) | |||||||
\(132\) | 13440.3 | + | 61523.7i | 0.0671389 | + | 0.307332i | ||||
\(133\) | 475916. | 2.33293 | ||||||||
\(134\) | 86735.5 | + | 63017.0i | 0.417287 | + | 0.303177i | ||||
\(135\) | 1051.78 | − | 3237.06i | 0.00496697 | − | 0.0152868i | ||||
\(136\) | −118742. | − | 365449.i | −0.550498 | − | 1.69426i | ||||
\(137\) | −75687.9 | + | 54990.5i | −0.344528 | + | 0.250315i | −0.746570 | − | 0.665307i | \(-0.768301\pi\) |
0.402042 | + | 0.915621i | \(0.368301\pi\) | |||||||
\(138\) | −52974.5 | + | 38488.2i | −0.236793 | + | 0.172040i | ||||
\(139\) | 88715.3 | + | 273038.i | 0.389459 | + | 1.19863i | 0.933194 | + | 0.359374i | \(0.117010\pi\) |
−0.543735 | + | 0.839257i | \(0.682990\pi\) | |||||||
\(140\) | 4023.07 | − | 12381.7i | 0.0173475 | − | 0.0533901i | ||||
\(141\) | −117912. | − | 85668.0i | −0.499470 | − | 0.362886i | ||||
\(142\) | −22981.4 | −0.0956434 | ||||||||
\(143\) | −163704. | + | 373338.i | −0.669453 | + | 1.52673i | ||||
\(144\) | −13125.8 | −0.0527498 | ||||||||
\(145\) | −5953.53 | − | 4325.49i | −0.0235155 | − | 0.0170850i | ||||
\(146\) | −56346.3 | + | 173416.i | −0.218768 | + | 0.673298i | ||||
\(147\) | −24388.1 | − | 75058.7i | −0.0930859 | − | 0.286489i | ||||
\(148\) | 56189.2 | − | 40823.9i | 0.210862 | − | 0.153200i | ||||
\(149\) | 93015.5 | − | 67579.7i | 0.343233 | − | 0.249374i | −0.402791 | − | 0.915292i | \(-0.631960\pi\) |
0.746025 | + | 0.665918i | \(0.231960\pi\) | |||||||
\(150\) | 32936.6 | + | 101368.i | 0.119523 | + | 0.367853i | ||||
\(151\) | 62414.5 | − | 192092.i | 0.222763 | − | 0.685594i | −0.775748 | − | 0.631043i | \(-0.782627\pi\) |
0.998511 | − | 0.0545514i | \(-0.0173729\pi\) | |||||||
\(152\) | 454209. | + | 330002.i | 1.59458 | + | 1.15853i | ||||
\(153\) | 164976. | 0.569760 | ||||||||
\(154\) | 243729. | + | 24228.2i | 0.828142 | + | 0.0823226i | ||||
\(155\) | 11027.2 | 0.0368667 | ||||||||
\(156\) | 128958. | + | 93693.8i | 0.424266 | + | 0.308247i | ||||
\(157\) | −115078. | + | 354173.i | −0.372600 | + | 1.14674i | 0.572484 | + | 0.819916i | \(0.305980\pi\) |
−0.945084 | + | 0.326829i | \(0.894020\pi\) | |||||||
\(158\) | −62866.8 | − | 193484.i | −0.200345 | − | 0.616599i | ||||
\(159\) | −160412. | + | 116546.i | −0.503205 | + | 0.365600i | ||||
\(160\) | 20468.0 | − | 14870.8i | 0.0632084 | − | 0.0459236i | ||||
\(161\) | −94215.5 | − | 289966.i | −0.286456 | − | 0.881620i | ||||
\(162\) | 7737.41 | − | 23813.3i | 0.0231637 | − | 0.0712906i | ||||
\(163\) | −59669.4 | − | 43352.4i | −0.175907 | − | 0.127804i | 0.496348 | − | 0.868124i | \(-0.334674\pi\) |
−0.672255 | + | 0.740320i | \(0.734674\pi\) | |||||||
\(164\) | −60019.5 | −0.174254 | ||||||||
\(165\) | −14556.2 | + | 8513.83i | −0.0416235 | + | 0.0243453i | ||||
\(166\) | −307368. | −0.865741 | ||||||||
\(167\) | −110445. | − | 80243.1i | −0.306447 | − | 0.222647i | 0.423923 | − | 0.905698i | \(-0.360653\pi\) |
−0.730370 | + | 0.683051i | \(0.760653\pi\) | |||||||
\(168\) | 83912.5 | − | 258256.i | 0.229379 | − | 0.705955i | ||||
\(169\) | 204123. | + | 628225.i | 0.549762 | + | 1.69199i | ||||
\(170\) | 29359.8 | − | 21331.1i | 0.0779167 | − | 0.0566098i | ||||
\(171\) | −195010. | + | 141683.i | −0.509995 | + | 0.370533i | ||||
\(172\) | 14201.0 | + | 43706.0i | 0.0366013 | + | 0.112647i | ||||
\(173\) | −33254.0 | + | 102345.i | −0.0844750 | + | 0.259987i | −0.984368 | − | 0.176123i | \(-0.943644\pi\) |
0.899893 | + | 0.436110i | \(0.143644\pi\) | |||||||
\(174\) | −43797.0 | − | 31820.4i | −0.109666 | − | 0.0796768i | ||||
\(175\) | −496280. | −1.22499 | ||||||||
\(176\) | 48572.5 | + | 43241.4i | 0.118198 | + | 0.105225i | ||||
\(177\) | 262156. | 0.628966 | ||||||||
\(178\) | −117147. | − | 85112.2i | −0.277128 | − | 0.201346i | ||||
\(179\) | 45261.2 | − | 139300.i | 0.105583 | − | 0.324951i | −0.884284 | − | 0.466950i | \(-0.845353\pi\) |
0.989867 | + | 0.141999i | \(0.0453530\pi\) | |||||||
\(180\) | 2037.63 | + | 6271.18i | 0.00468753 | + | 0.0144267i | ||||
\(181\) | −274921. | + | 199742.i | −0.623752 | + | 0.453182i | −0.854230 | − | 0.519895i | \(-0.825971\pi\) |
0.230478 | + | 0.973078i | \(0.425971\pi\) | |||||||
\(182\) | 501563. | − | 364407.i | 1.12240 | − | 0.815470i | ||||
\(183\) | −12322.4 | − | 37924.4i | −0.0271999 | − | 0.0837127i | ||||
\(184\) | 111145. | − | 342070.i | 0.242017 | − | 0.744852i | ||||
\(185\) | 15046.2 | + | 10931.7i | 0.0323220 | + | 0.0234833i | ||||
\(186\) | 81121.0 | 0.171930 | ||||||||
\(187\) | −610497. | − | 543492.i | −1.27667 | − | 1.13655i | ||||
\(188\) | 282357. | 0.582645 | ||||||||
\(189\) | 94319.6 | + | 68527.2i | 0.192065 | + | 0.139543i | ||||
\(190\) | −16385.4 | + | 50428.9i | −0.0329285 | + | 0.101343i | ||||
\(191\) | 76981.1 | + | 236924.i | 0.152687 | + | 0.469921i | 0.997919 | − | 0.0644776i | \(-0.0205381\pi\) |
−0.845233 | + | 0.534399i | \(0.820538\pi\) | |||||||
\(192\) | 188328. | − | 136829.i | 0.368691 | − | 0.267870i | ||||
\(193\) | −26781.4 | + | 19457.8i | −0.0517535 | + | 0.0376012i | −0.613361 | − | 0.789802i | \(-0.710183\pi\) |
0.561608 | + | 0.827404i | \(0.310183\pi\) | |||||||
\(194\) | −113831. | − | 350335.i | −0.217148 | − | 0.668312i | ||||
\(195\) | −13190.1 | + | 40595.1i | −0.0248406 | + | 0.0764516i | ||||
\(196\) | 123695. | + | 89869.6i | 0.229991 | + | 0.167099i | ||||
\(197\) | 245814. | 0.451274 | 0.225637 | − | 0.974211i | \(-0.427554\pi\) | ||||
0.225637 | + | 0.974211i | \(0.427554\pi\) | |||||||
\(198\) | −107082. | + | 62631.7i | −0.194113 | + | 0.113535i | ||||
\(199\) | −72399.8 | −0.129600 | −0.0648000 | − | 0.997898i | \(-0.520641\pi\) | ||||
−0.0648000 | + | 0.997898i | \(0.520641\pi\) | |||||||
\(200\) | −473644. | − | 344123.i | −0.837293 | − | 0.608329i | ||||
\(201\) | 78130.5 | − | 240461.i | 0.136405 | − | 0.419812i | ||||
\(202\) | −175223. | − | 539282.i | −0.302144 | − | 0.929903i | ||||
\(203\) | 203927. | − | 148162.i | 0.347324 | − | 0.252346i | ||||
\(204\) | −258570. | + | 187862.i | −0.435013 | + | 0.316055i | ||||
\(205\) | −4966.49 | − | 15285.3i | −0.00825401 | − | 0.0254032i | ||||
\(206\) | −175959. | + | 541545.i | −0.288897 | + | 0.889133i | ||||
\(207\) | 124930. | + | 90766.8i | 0.202647 | + | 0.147232i | ||||
\(208\) | 164608. | 0.263810 | ||||||||
\(209\) | 1.18839e6 | + | 118134.i | 1.88189 | + | 0.187072i | ||||
\(210\) | 25646.0 | 0.0401301 | ||||||||
\(211\) | −241483. | − | 175448.i | −0.373406 | − | 0.271295i | 0.385216 | − | 0.922826i | \(-0.374127\pi\) |
−0.758622 | + | 0.651531i | \(0.774127\pi\) | |||||||
\(212\) | 118703. | − | 365330.i | 0.181394 | − | 0.558272i | ||||
\(213\) | 16747.8 | + | 51544.4i | 0.0252935 | + | 0.0778453i | ||||
\(214\) | −212975. | + | 154735.i | −0.317902 | + | 0.230969i | ||||
\(215\) | −9955.60 | + | 7233.17i | −0.0146883 | + | 0.0106717i | ||||
\(216\) | 42500.6 | + | 130803.i | 0.0619813 | + | 0.190759i | ||||
\(217\) | −116720. | + | 359228.i | −0.168266 | + | 0.517871i | ||||
\(218\) | −330410. | − | 240057.i | −0.470882 | − | 0.342116i | ||||
\(219\) | 430014. | 0.605860 | ||||||||
\(220\) | 13119.3 | − | 29919.3i | 0.0182749 | − | 0.0416769i | ||||
\(221\) | −2.06892e6 | −2.84946 | ||||||||
\(222\) | 110687. | + | 80418.9i | 0.150735 | + | 0.109516i | ||||
\(223\) | −21477.6 | + | 66101.3i | −0.0289217 | + | 0.0890118i | −0.964475 | − | 0.264173i | \(-0.914901\pi\) |
0.935554 | + | 0.353184i | \(0.114901\pi\) | |||||||
\(224\) | 267793. | + | 824183.i | 0.356599 | + | 1.09750i | ||||
\(225\) | 203354. | − | 147745.i | 0.267791 | − | 0.194562i | ||||
\(226\) | −562917. | + | 408983.i | −0.733118 | + | 0.532641i | ||||
\(227\) | −115985. | − | 356966.i | −0.149396 | − | 0.459793i | 0.848154 | − | 0.529749i | \(-0.177714\pi\) |
−0.997550 | + | 0.0699563i | \(0.977714\pi\) | |||||||
\(228\) | 144305. | − | 444124.i | 0.183841 | − | 0.565805i | ||||
\(229\) | −242301. | − | 176042.i | −0.305328 | − | 0.221834i | 0.424561 | − | 0.905399i | \(-0.360428\pi\) |
−0.729889 | + | 0.683565i | \(0.760428\pi\) | |||||||
\(230\) | 33969.0 | 0.0423412 | ||||||||
\(231\) | −123278. | − | 564310.i | −0.152004 | − | 0.695805i | ||||
\(232\) | 297362. | 0.362715 | ||||||||
\(233\) | 1.02768e6 | + | 746656.i | 1.24014 | + | 0.901012i | 0.997608 | − | 0.0691322i | \(-0.0220230\pi\) |
0.242529 | + | 0.970144i | \(0.422023\pi\) | |||||||
\(234\) | −97032.8 | + | 298636.i | −0.115845 | + | 0.356536i | ||||
\(235\) | 23364.5 | + | 71908.4i | 0.0275986 | + | 0.0849396i | ||||
\(236\) | −410882. | + | 298523.i | −0.480217 | + | 0.348898i | ||||
\(237\) | −388147. | + | 282005.i | −0.448874 | + | 0.326126i | ||||
\(238\) | 384130. | + | 1.18223e6i | 0.439578 | + | 1.35288i | ||||
\(239\) | 68696.4 | − | 211426.i | 0.0777927 | − | 0.239421i | −0.904596 | − | 0.426270i | \(-0.859827\pi\) |
0.982389 | + | 0.186849i | \(0.0598274\pi\) | |||||||
\(240\) | 5508.82 | + | 4002.39i | 0.00617349 | + | 0.00448530i | ||||
\(241\) | 527531. | 0.585067 | 0.292533 | − | 0.956255i | \(-0.405502\pi\) | ||||
0.292533 | + | 0.956255i | \(0.405502\pi\) | |||||||
\(242\) | 602592. | + | 120999.i | 0.661432 | + | 0.132813i | ||||
\(243\) | −59049.0 | −0.0641500 | ||||||||
\(244\) | 62498.5 | + | 45407.8i | 0.0672040 | + | 0.0488265i | ||||
\(245\) | −12651.8 | + | 38938.1i | −0.0134659 | + | 0.0414438i | ||||
\(246\) | −36535.8 | − | 112446.i | −0.0384929 | − | 0.118469i | ||||
\(247\) | 2.44556e6 | − | 1.77681e6i | 2.55057 | − | 1.85310i | ||||
\(248\) | −360487. | + | 261909.i | −0.372187 | + | 0.270409i | ||||
\(249\) | 223996. | + | 689388.i | 0.228950 | + | 0.704637i | ||||
\(250\) | 34292.9 | − | 105543.i | 0.0347020 | − | 0.106802i | ||||
\(251\) | 689843. | + | 501201.i | 0.691140 | + | 0.502143i | 0.877035 | − | 0.480427i | \(-0.159518\pi\) |
−0.185895 | + | 0.982570i | \(0.559518\pi\) | |||||||
\(252\) | −225862. | −0.224049 | ||||||||
\(253\) | −163286. | − | 747449.i | −0.160379 | − | 0.734143i | ||||
\(254\) | −821645. | −0.799097 | ||||||||
\(255\) | −69239.2 | − | 50305.2i | −0.0666809 | − | 0.0484465i | ||||
\(256\) | −343853. | + | 1.05827e6i | −0.327923 | + | 1.00924i | ||||
\(257\) | 375280. | + | 1.15499e6i | 0.354424 | + | 1.09080i | 0.956343 | + | 0.292247i | \(0.0944030\pi\) |
−0.601919 | + | 0.798557i | \(0.705597\pi\) | |||||||
\(258\) | −73238.1 | + | 53210.6i | −0.0684995 | + | 0.0497678i | ||||
\(259\) | −515380. | + | 374446.i | −0.477396 | + | 0.346848i | ||||
\(260\) | −25553.4 | − | 78645.2i | −0.0234431 | − | 0.0721505i | ||||
\(261\) | −39451.9 | + | 121420.i | −0.0358481 | + | 0.110329i | ||||
\(262\) | 652274. | + | 473905.i | 0.587052 | + | 0.426518i | ||||
\(263\) | −1.21904e6 | −1.08675 | −0.543374 | − | 0.839491i | \(-0.682853\pi\) | ||||
−0.543374 | + | 0.839491i | \(0.682853\pi\) | |||||||
\(264\) | 273640. | − | 624053.i | 0.241641 | − | 0.551076i | ||||
\(265\) | 102862. | 0.0899786 | ||||||||
\(266\) | −1.46937e6 | − | 1.06756e6i | −1.27329 | − | 0.925099i | ||||
\(267\) | −105525. | + | 324772.i | −0.0905893 | + | 0.278805i | ||||
\(268\) | 151363. | + | 465848.i | 0.128731 | + | 0.396193i | ||||
\(269\) | 1.59215e6 | − | 1.15676e6i | 1.34154 | − | 0.974683i | 0.342150 | − | 0.939645i | \(-0.388845\pi\) |
0.999386 | − | 0.0350377i | \(-0.0111551\pi\) | |||||||
\(270\) | −10508.6 | + | 7634.95i | −0.00877275 | + | 0.00637377i | ||||
\(271\) | 63636.5 | + | 195853.i | 0.0526360 | + | 0.161997i | 0.973919 | − | 0.226896i | \(-0.0728577\pi\) |
−0.921283 | + | 0.388893i | \(0.872858\pi\) | |||||||
\(272\) | −101991. | + | 313895.i | −0.0835869 | + | 0.257254i | ||||
\(273\) | −1.18284e6 | − | 859381.i | −0.960546 | − | 0.697878i | ||||
\(274\) | 357036. | 0.287300 | ||||||||
\(275\) | −1.23924e6 | − | 123189.i | −0.988154 | − | 0.0982288i | ||||
\(276\) | −299163. | −0.236393 | ||||||||
\(277\) | −905248. | − | 657701.i | −0.708873 | − | 0.515026i | 0.173937 | − | 0.984757i | \(-0.444351\pi\) |
−0.882810 | + | 0.469731i | \(0.844351\pi\) | |||||||
\(278\) | 338565. | − | 1.04200e6i | 0.262742 | − | 0.808637i | ||||
\(279\) | −59117.3 | − | 181944.i | −0.0454678 | − | 0.139936i | ||||
\(280\) | −113966. | + | 82801.2i | −0.0868721 | + | 0.0631163i | ||||
\(281\) | 765645. | − | 556273.i | 0.578444 | − | 0.420264i | −0.259719 | − | 0.965684i | \(-0.583630\pi\) |
0.838163 | + | 0.545420i | \(0.183630\pi\) | |||||||
\(282\) | 171880. | + | 528992.i | 0.128707 | + | 0.396120i | ||||
\(283\) | −194822. | + | 599602.i | −0.144602 | + | 0.445038i | −0.996960 | − | 0.0779210i | \(-0.975172\pi\) |
0.852358 | + | 0.522959i | \(0.175172\pi\) | |||||||
\(284\) | −84943.9 | − | 61715.3i | −0.0624937 | − | 0.0454043i | ||||
\(285\) | 125047. | 0.0911928 | ||||||||
\(286\) | 1.34289e6 | − | 785448.i | 0.970790 | − | 0.567809i | ||||
\(287\) | 550513. | 0.394514 | ||||||||
\(288\) | −355094. | − | 257991.i | −0.252268 | − | 0.183283i | ||||
\(289\) | 843138. | − | 2.59491e6i | 0.593819 | − | 1.82759i | ||||
\(290\) | 8678.46 | + | 26709.5i | 0.00605965 | + | 0.0186497i | ||||
\(291\) | −702803. | + | 510617.i | −0.486521 | + | 0.353478i | ||||
\(292\) | −673968. | + | 489667.i | −0.462575 | + | 0.336081i | ||||
\(293\) | −177501. | − | 546290.i | −0.120790 | − | 0.371753i | 0.872321 | − | 0.488934i | \(-0.162614\pi\) |
−0.993111 | + | 0.117181i | \(0.962614\pi\) | |||||||
\(294\) | −93072.3 | + | 286447.i | −0.0627989 | + | 0.193275i | ||||
\(295\) | −110025. | − | 79938.0i | −0.0736100 | − | 0.0534808i | ||||
\(296\) | −751516. | −0.498551 | ||||||||
\(297\) | 218512. | + | 194529.i | 0.143742 | + | 0.127966i | ||||
\(298\) | −438774. | −0.286220 | ||||||||
\(299\) | −1.56671e6 | − | 1.13828e6i | −1.01347 | − | 0.736329i | ||||
\(300\) | −150479. | + | 463127.i | −0.0965325 | + | 0.297096i | ||||
\(301\) | −130254. | − | 400882.i | −0.0828660 | − | 0.255035i | ||||
\(302\) | −623597. | + | 453070.i | −0.393448 | + | 0.285856i | ||||
\(303\) | −1.08185e6 | + | 786009.i | −0.676955 | + | 0.491837i | ||||
\(304\) | −149018. | − | 458630.i | −0.0924814 | − | 0.284628i | ||||
\(305\) | −6392.47 | + | 19674.0i | −0.00393477 | + | 0.0121100i | ||||
\(306\) | −509356. | − | 370069.i | −0.310970 | − | 0.225933i | ||||
\(307\) | 2.24566e6 | 1.35987 | 0.679935 | − | 0.733272i | \(-0.262008\pi\) | ||||
0.679935 | + | 0.733272i | \(0.262008\pi\) | |||||||
\(308\) | 835807. | + | 744073.i | 0.502030 | + | 0.446929i | ||||
\(309\) | 1.34285e6 | 0.800076 | ||||||||
\(310\) | −34045.9 | − | 24735.8i | −0.0201215 | − | 0.0146191i | ||||
\(311\) | 385338. | − | 1.18595e6i | 0.225913 | − | 0.695288i | −0.772285 | − | 0.635277i | \(-0.780886\pi\) |
0.998198 | − | 0.0600119i | \(-0.0191139\pi\) | |||||||
\(312\) | −532988. | − | 1.64037e6i | −0.309978 | − | 0.954015i | ||||
\(313\) | −1.07441e6 | + | 780607.i | −0.619884 | + | 0.450372i | −0.852881 | − | 0.522105i | \(-0.825147\pi\) |
0.232997 | + | 0.972477i | \(0.425147\pi\) | |||||||
\(314\) | 1.14977e6 | − | 835356.i | 0.658092 | − | 0.478132i | ||||
\(315\) | −18689.6 | − | 57520.7i | −0.0106127 | − | 0.0326624i | ||||
\(316\) | 287223. | − | 883982.i | 0.161809 | − | 0.497996i | ||||
\(317\) | 1.60262e6 | + | 1.16437e6i | 0.895740 | + | 0.650793i | 0.937368 | − | 0.348340i | \(-0.113255\pi\) |
−0.0416285 | + | 0.999133i | \(0.513255\pi\) | |||||||
\(318\) | 756699. | 0.419619 | ||||||||
\(319\) | 545996. | − | 319350.i | 0.300409 | − | 0.175707i | ||||
\(320\) | −120763. | −0.0659261 | ||||||||
\(321\) | 502258. | + | 364912.i | 0.272060 | + | 0.197663i | ||||
\(322\) | −359555. | + | 1.10660e6i | −0.193253 | + | 0.594771i | ||||
\(323\) | 1.87297e6 | + | 5.76442e6i | 0.998907 | + | 3.07432i | ||||
\(324\) | 92548.5 | − | 67240.4i | 0.0489787 | − | 0.0355851i | ||||
\(325\) | −2.55021e6 | + | 1.85283e6i | −1.33927 | + | 0.973034i | ||||
\(326\) | 86980.1 | + | 267697.i | 0.0453290 | + | 0.139508i | ||||
\(327\) | −297630. | + | 916012.i | −0.153925 | + | 0.473731i | ||||
\(328\) | 525404. | + | 381728.i | 0.269655 | + | 0.195916i | ||||
\(329\) | −2.58985e6 | −1.31912 | ||||||||
\(330\) | 64039.6 | + | 6365.95i | 0.0323716 | + | 0.00321794i | ||||
\(331\) | −232513. | −0.116648 | −0.0583240 | − | 0.998298i | \(-0.518576\pi\) | ||||
−0.0583240 | + | 0.998298i | \(0.518576\pi\) | |||||||
\(332\) | −1.13609e6 | − | 825420.i | −0.565678 | − | 0.410989i | ||||
\(333\) | 99705.9 | − | 306863.i | 0.0492732 | − | 0.151647i | ||||
\(334\) | 160996. | + | 495494.i | 0.0789675 | + | 0.243037i | ||||
\(335\) | −106113. | + | 77095.8i | −0.0516604 | + | 0.0375335i | ||||
\(336\) | −188694. | + | 137095.i | −0.0911824 | + | 0.0662479i | ||||
\(337\) | 348433. | + | 1.07237e6i | 0.167126 | + | 0.514362i | 0.999187 | − | 0.0403232i | \(-0.0128388\pi\) |
−0.832060 | + | 0.554685i | \(0.812839\pi\) | |||||||
\(338\) | 778995. | − | 2.39750e6i | 0.370888 | − | 1.14148i | ||||
\(339\) | 1.32753e6 | + | 964506.i | 0.627400 | + | 0.455833i | ||||
\(340\) | 165804. | 0.0777851 | ||||||||
\(341\) | −380627. | + | 868043.i | −0.177261 | + | 0.404255i | ||||
\(342\) | 919903. | 0.425282 | ||||||||
\(343\) | 1.03997e6 | + | 755581.i | 0.477293 | + | 0.346773i | ||||
\(344\) | 153660. | − | 472917.i | 0.0700107 | − | 0.215471i | ||||
\(345\) | −24755.1 | − | 76188.3i | −0.0111974 | − | 0.0344620i | ||||
\(346\) | 332248. | − | 241392.i | 0.149201 | − | 0.108401i | ||||
\(347\) | 2.99900e6 | − | 2.17890e6i | 1.33707 | − | 0.971436i | 0.337521 | − | 0.941318i | \(-0.390412\pi\) |
0.999546 | − | 0.0301180i | \(-0.00958829\pi\) | |||||||
\(348\) | −76430.6 | − | 235229.i | −0.0338313 | − | 0.104122i | ||||
\(349\) | −777364. | + | 2.39248e6i | −0.341634 | + | 1.05144i | 0.621728 | + | 0.783233i | \(0.286431\pi\) |
−0.963361 | + | 0.268207i | \(0.913569\pi\) | |||||||
\(350\) | 1.53224e6 | + | 1.11324e6i | 0.668586 | + | 0.485756i | ||||
\(351\) | 740518. | 0.320825 | ||||||||
\(352\) | 464115. | + | 2.12451e6i | 0.199650 | + | 0.913907i | ||||
\(353\) | −3.02523e6 | −1.29218 | −0.646088 | − | 0.763263i | \(-0.723596\pi\) | ||||
−0.646088 | + | 0.763263i | \(0.723596\pi\) | |||||||
\(354\) | −809397. | − | 588061.i | −0.343284 | − | 0.249410i | ||||
\(355\) | 8688.23 | − | 26739.6i | 0.00365898 | − | 0.0112612i | ||||
\(356\) | −204434. | − | 629185.i | −0.0854927 | − | 0.263120i | ||||
\(357\) | 2.37166e6 | − | 1.72311e6i | 0.984877 | − | 0.715555i | ||||
\(358\) | −452215. | + | 328553.i | −0.186482 | + | 0.135487i | ||||
\(359\) | 398330. | + | 1.22593e6i | 0.163120 | + | 0.502031i | 0.998893 | − | 0.0470441i | \(-0.0149801\pi\) |
−0.835773 | + | 0.549075i | \(0.814980\pi\) | |||||||
\(360\) | 22048.0 | − | 67856.7i | 0.00896628 | − | 0.0275954i | ||||
\(361\) | −5.16128e6 | − | 3.74989e6i | −2.08444 | − | 1.51443i | ||||
\(362\) | 1.29686e6 | 0.520143 | ||||||||
\(363\) | −167757. | − | 1.43972e6i | −0.0668211 | − | 0.573470i | ||||
\(364\) | 2.83248e6 | 1.12050 | ||||||||
\(365\) | −180474. | − | 131122.i | −0.0709058 | − | 0.0515161i | ||||
\(366\) | −47026.0 | + | 144731.i | −0.0183500 | + | 0.0564754i | ||||
\(367\) | −1.37513e6 | − | 4.23221e6i | −0.532940 | − | 1.64022i | −0.748059 | − | 0.663633i | \(-0.769014\pi\) |
0.215119 | − | 0.976588i | \(-0.430986\pi\) | |||||||
\(368\) | −249933. | + | 181587.i | −0.0962064 | + | 0.0698980i | ||||
\(369\) | −225576. | + | 163891.i | −0.0862437 | + | 0.0626597i | ||||
\(370\) | −21932.9 | − | 67502.5i | −0.00832897 | − | 0.0256339i | ||||
\(371\) | −1.08877e6 | + | 3.35089e6i | −0.410678 | + | 1.26394i | ||||
\(372\) | 299840. | + | 217846.i | 0.112339 | + | 0.0816194i | ||||
\(373\) | −3.32452e6 | −1.23725 | −0.618625 | − | 0.785687i | \(-0.712310\pi\) | ||||
−0.618625 | + | 0.785687i | \(0.712310\pi\) | |||||||
\(374\) | 665739. | + | 3.04746e6i | 0.246108 | + | 1.12657i | ||||
\(375\) | −261711. | −0.0961044 | ||||||||
\(376\) | −2.47172e6 | − | 1.79581e6i | −0.901634 | − | 0.655075i | ||||
\(377\) | 494756. | − | 1.52270e6i | 0.179282 | − | 0.551774i | ||||
\(378\) | −137490. | − | 423150.i | −0.0494926 | − | 0.152323i | ||||
\(379\) | −1.70859e6 | + | 1.24136e6i | −0.610998 | + | 0.443916i | −0.849766 | − | 0.527161i | \(-0.823257\pi\) |
0.238768 | + | 0.971077i | \(0.423257\pi\) | |||||||
\(380\) | −195988. | + | 142394.i | −0.0696258 | + | 0.0505861i | ||||
\(381\) | 598778. | + | 1.84285e6i | 0.211326 | + | 0.650395i | ||||
\(382\) | 293784. | − | 904173.i | 0.103008 | − | 0.317025i | ||||
\(383\) | −1.05344e6 | − | 765370.i | −0.366955 | − | 0.266609i | 0.388992 | − | 0.921241i | \(-0.372823\pi\) |
−0.755947 | + | 0.654632i | \(0.772823\pi\) | |||||||
\(384\) | 672219. | 0.232639 | ||||||||
\(385\) | −120333. | + | 274427.i | −0.0413746 | + | 0.0943572i | ||||
\(386\) | 126334. | 0.0431570 | ||||||||
\(387\) | 172717. | + | 125487.i | 0.0586217 | + | 0.0425912i | ||||
\(388\) | 520065. | − | 1.60060e6i | 0.175379 | − | 0.539762i | ||||
\(389\) | −1.46703e6 | − | 4.51504e6i | −0.491546 | − | 1.51282i | −0.822272 | − | 0.569095i | \(-0.807294\pi\) |
0.330726 | − | 0.943727i | \(-0.392706\pi\) | |||||||
\(390\) | 131786. | − | 95747.8i | 0.0438739 | − | 0.0318763i | ||||
\(391\) | 3.14135e6 | − | 2.28233e6i | 1.03914 | − | 0.754980i | ||||
\(392\) | −511234. | − | 1.57342e6i | −0.168037 | − | 0.517164i | ||||
\(393\) | 587562. | − | 1.80833e6i | 0.191899 | − | 0.590604i | ||||
\(394\) | −758939. | − | 551401.i | −0.246301 | − | 0.178948i | ||||
\(395\) | 248893. | 0.0802637 | ||||||||
\(396\) | −563992. | − | 56064.4i | −0.180732 | − | 0.0179659i | ||||
\(397\) | 2.09629e6 | 0.667536 | 0.333768 | − | 0.942655i | \(-0.391680\pi\) | ||||
0.333768 | + | 0.942655i | \(0.391680\pi\) | |||||||
\(398\) | 223531. | + | 162405.i | 0.0707344 | + | 0.0513916i | ||||
\(399\) | −1.32360e6 | + | 4.07361e6i | −0.416220 | + | 1.28099i | ||||
\(400\) | 155394. | + | 478254.i | 0.0485607 | + | 0.149454i | ||||
\(401\) | −7494.54 | + | 5445.10i | −0.00232747 | + | 0.00169100i | −0.588948 | − | 0.808171i | \(-0.700458\pi\) |
0.586621 | + | 0.809862i | \(0.300458\pi\) | |||||||
\(402\) | −780619. | + | 567153.i | −0.240921 | + | 0.175039i | ||||
\(403\) | 741375. | + | 2.28172e6i | 0.227392 | + | 0.699841i | ||||
\(404\) | 800554. | − | 2.46385e6i | 0.244027 | − | 0.751037i | ||||
\(405\) | 24782.4 | + | 18005.5i | 0.00750769 | + | 0.00545466i | ||||
\(406\) | −961968. | −0.289631 | ||||||||
\(407\) | −1.37988e6 | + | 807085.i | −0.412911 | + | 0.241509i | ||||
\(408\) | 3.45830e6 | 1.02852 | ||||||||
\(409\) | 2.75737e6 | + | 2.00335e6i | 0.815055 | + | 0.592172i | 0.915292 | − | 0.402791i | \(-0.131960\pi\) |
−0.100237 | + | 0.994964i | \(0.531960\pi\) | |||||||
\(410\) | −18953.6 | + | 58333.3i | −0.00556844 | + | 0.0171379i | ||||
\(411\) | −260192. | − | 800788.i | −0.0759782 | − | 0.233837i | ||||
\(412\) | −2.10467e6 | + | 1.52913e6i | −0.610860 | + | 0.443815i | ||||
\(413\) | 3.76871e6 | − | 2.73813e6i | 1.08722 | − | 0.789911i | ||||
\(414\) | −182110. | − | 560477.i | −0.0522196 | − | 0.160715i | ||||
\(415\) | 116202. | − | 357633.i | 0.0331202 | − | 0.101934i | ||||
\(416\) | 4.45314e6 | + | 3.23539e6i | 1.26163 | + | 0.916629i | ||||
\(417\) | −2.58380e6 | −0.727643 | ||||||||
\(418\) | −3.40412e6 | − | 3.03050e6i | −0.952937 | − | 0.848347i | ||||
\(419\) | −630609. | −0.175479 | −0.0877395 | − | 0.996143i | \(-0.527964\pi\) | ||||
−0.0877395 | + | 0.996143i | \(0.527964\pi\) | |||||||
\(420\) | 94792.7 | + | 68871.0i | 0.0262212 | + | 0.0190508i | ||||
\(421\) | −537621. | + | 1.65463e6i | −0.147833 | + | 0.454983i | −0.997364 | − | 0.0725550i | \(-0.976885\pi\) |
0.849531 | + | 0.527538i | \(0.176885\pi\) | |||||||
\(422\) | 352010. | + | 1.08338e6i | 0.0962220 | + | 0.296141i | ||||
\(423\) | 1.06121e6 | − | 771012.i | 0.288369 | − | 0.209513i | ||||
\(424\) | −3.36264e6 | + | 2.44310e6i | −0.908375 | + | 0.659973i | ||||
\(425\) | −1.95312e6 | − | 6.01107e6i | −0.524512 | − | 1.61428i | ||||
\(426\) | 63914.7 | − | 196709.i | 0.0170638 | − | 0.0525171i | ||||
\(427\) | −573250. | − | 416491.i | −0.152151 | − | 0.110544i | ||||
\(428\) | −1.20273e6 | −0.317365 | ||||||||
\(429\) | −2.74030e6 | − | 2.43954e6i | −0.718878 | − | 0.639977i | ||||
\(430\) | 46962.7 | 0.0122485 | ||||||||
\(431\) | 2.33920e6 | + | 1.69953e6i | 0.606561 | + | 0.440693i | 0.848202 | − | 0.529673i | \(-0.177685\pi\) |
−0.241640 | + | 0.970366i | \(0.577685\pi\) | |||||||
\(432\) | 36505.0 | − | 112351.i | 0.00941115 | − | 0.0289646i | ||||
\(433\) | 1.17677e6 | + | 3.62174e6i | 0.301629 | + | 0.928320i | 0.980914 | + | 0.194444i | \(0.0622904\pi\) |
−0.679284 | + | 0.733875i | \(0.737710\pi\) | |||||||
\(434\) | 1.16618e6 | − | 847279.i | 0.297195 | − | 0.215924i | ||||
\(435\) | 53581.8 | − | 38929.4i | 0.0135767 | − | 0.00986404i | ||||
\(436\) | −576603. | − | 1.77460e6i | −0.145265 | − | 0.447079i | ||||
\(437\) | −1.75315e6 | + | 5.39564e6i | −0.439153 | + | 1.35157i | ||||
\(438\) | −1.32765e6 | − | 964594.i | −0.330673 | − | 0.240248i | ||||
\(439\) | 5.05208e6 | 1.25115 | 0.625575 | − | 0.780164i | \(-0.284865\pi\) | ||||
0.625575 | + | 0.780164i | \(0.284865\pi\) | |||||||
\(440\) | −305134. | + | 178471.i | −0.0751379 | + | 0.0439476i | ||||
\(441\) | 710293. | 0.173917 | ||||||||
\(442\) | 6.38770e6 | + | 4.64094e6i | 1.55521 | + | 1.12993i | ||||
\(443\) | −468192. | + | 1.44095e6i | −0.113348 | + | 0.348850i | −0.991599 | − | 0.129351i | \(-0.958711\pi\) |
0.878251 | + | 0.478200i | \(0.158711\pi\) | |||||||
\(444\) | 193161. | + | 594490.i | 0.0465011 | + | 0.143116i | ||||
\(445\) | 143319. | − | 104127.i | 0.0343087 | − | 0.0249267i | ||||
\(446\) | 214588. | − | 155907.i | 0.0510819 | − | 0.0371132i | ||||
\(447\) | 319759. | + | 984116.i | 0.0756926 | + | 0.232958i | ||||
\(448\) | 1.27825e6 | − | 3.93404e6i | 0.300898 | − | 0.926070i | ||||
\(449\) | −2.16345e6 | − | 1.57184e6i | −0.506444 | − | 0.367953i | 0.305029 | − | 0.952343i | \(-0.401334\pi\) |
−0.811473 | + | 0.584390i | \(0.801334\pi\) | |||||||
\(450\) | −959264. | −0.223309 | ||||||||
\(451\) | 1.37467e6 | + | 136651.i | 0.318241 | + | 0.0316352i | ||||
\(452\) | −3.17896e6 | −0.731879 | ||||||||
\(453\) | 1.47063e6 | + | 1.06848e6i | 0.336712 | + | 0.244635i | ||||
\(454\) | −442636. | + | 1.36229e6i | −0.100788 | + | 0.310192i | ||||
\(455\) | 234382. | + | 721352.i | 0.0530756 | + | 0.163350i | ||||
\(456\) | −4.08788e6 | + | 2.97002e6i | −0.920633 | + | 0.668879i | ||||
\(457\) | −2.09292e6 | + | 1.52059e6i | −0.468772 | + | 0.340582i | −0.796962 | − | 0.604029i | \(-0.793561\pi\) |
0.328191 | + | 0.944611i | \(0.393561\pi\) | |||||||
\(458\) | 353203. | + | 1.08705e6i | 0.0786792 | + | 0.242150i | ||||
\(459\) | −458823. | + | 1.41211e6i | −0.101651 | + | 0.312851i | ||||
\(460\) | 125556. | + | 91222.1i | 0.0276659 | + | 0.0201004i | ||||
\(461\) | 5.12106e6 | 1.12230 | 0.561148 | − | 0.827715i | \(-0.310360\pi\) | ||||
0.561148 | + | 0.827715i | \(0.310360\pi\) | |||||||
\(462\) | −885228. | + | 2.01881e6i | −0.192952 | + | 0.440039i | ||||
\(463\) | −50847.5 | −0.0110234 | −0.00551172 | − | 0.999985i | \(-0.501754\pi\) | ||||
−0.00551172 | + | 0.999985i | \(0.501754\pi\) | |||||||
\(464\) | −206633. | − | 150128.i | −0.0445559 | − | 0.0323718i | ||||
\(465\) | −30668.2 | + | 94387.1i | −0.00657743 | + | 0.0202433i | ||||
\(466\) | −1.49805e6 | − | 4.61054e6i | −0.319567 | − | 0.983528i | ||||
\(467\) | −7.50041e6 | + | 5.44937e6i | −1.59145 | + | 1.15626i | −0.689612 | + | 0.724179i | \(0.742219\pi\) |
−0.901837 | + | 0.432076i | \(0.857781\pi\) | |||||||
\(468\) | −1.16063e6 | + | 843244.i | −0.244950 | + | 0.177967i | ||||
\(469\) | −1.38834e6 | − | 4.27286e6i | −0.291449 | − | 0.896988i | ||||
\(470\) | 89166.0 | − | 274425.i | 0.0186189 | − | 0.0573032i | ||||
\(471\) | −2.71150e6 | − | 1.97002e6i | −0.563193 | − | 0.409184i | ||||
\(472\) | 5.49545e6 | 1.13540 | ||||||||
\(473\) | −225745. | − | 1.03336e6i | −0.0463944 | − | 0.212373i | ||||
\(474\) | 1.83097e6 | 0.374314 | ||||||||
\(475\) | 7.47104e6 | + | 5.42803e6i | 1.51931 | + | 1.10385i | ||||
\(476\) | −1.75500e6 | + | 5.40133e6i | −0.355025 | + | 1.09265i | ||||
\(477\) | −551448. | − | 1.69718e6i | −0.110971 | − | 0.341533i | ||||
\(478\) | −686361. | + | 498670.i | −0.137399 | + | 0.0998260i | ||||
\(479\) | 7.70294e6 | − | 5.59652e6i | 1.53397 | − | 1.11450i | 0.579997 | − | 0.814619i | \(-0.303054\pi\) |
0.953977 | − | 0.299878i | \(-0.0969461\pi\) | |||||||
\(480\) | 70362.6 | + | 216554.i | 0.0139392 | + | 0.0429005i | ||||
\(481\) | −1.25039e6 | + | 3.84829e6i | −0.246423 | + | 0.758412i | ||||
\(482\) | −1.62873e6 | − | 1.18334e6i | −0.319324 | − | 0.232002i | ||||
\(483\) | 2.74399e6 | 0.535198 | ||||||||
\(484\) | 1.90237e6 | + | 2.06547e6i | 0.369132 | + | 0.400779i | ||||
\(485\) | 450661. | 0.0869953 | ||||||||
\(486\) | 182311. | + | 132457.i | 0.0350125 | + | 0.0254381i | ||||
\(487\) | 1.99874e6 | − | 6.15148e6i | 0.381885 | − | 1.17532i | −0.556829 | − | 0.830627i | \(-0.687982\pi\) |
0.938715 | − | 0.344695i | \(-0.112018\pi\) | |||||||
\(488\) | −258308. | − | 794989.i | −0.0491007 | − | 0.151116i | ||||
\(489\) | 537025. | − | 390171.i | 0.101560 | − | 0.0737876i | ||||
\(490\) | 126407. | − | 91839.8i | 0.0237837 | − | 0.0172799i | ||||
\(491\) | −853226. | − | 2.62596e6i | −0.159720 | − | 0.491569i | 0.838888 | − | 0.544304i | \(-0.183206\pi\) |
−0.998609 | + | 0.0527350i | \(0.983206\pi\) | |||||||
\(492\) | 166923. | − | 513738.i | 0.0310888 | − | 0.0956816i | ||||
\(493\) | 2.59713e6 | + | 1.88693e6i | 0.481256 | + | 0.349653i | ||||
\(494\) | −1.15363e7 | −2.12690 | ||||||||
\(495\) | −32391.2 | − | 148272.i | −0.00594174 | − | 0.0271986i | ||||
\(496\) | 382728. | 0.0698531 | ||||||||
\(497\) | 779125. | + | 566067.i | 0.141487 | + | 0.102796i | ||||
\(498\) | 854836. | − | 2.63092e6i | 0.154458 | − | 0.475372i | ||||
\(499\) | −168800. | − | 519514.i | −0.0303474 | − | 0.0933998i | 0.934736 | − | 0.355344i | \(-0.115636\pi\) |
−0.965083 | + | 0.261944i | \(0.915636\pi\) | |||||||
\(500\) | 410184. | − | 298016.i | 0.0733759 | − | 0.0533107i | ||||
\(501\) | 994006. | − | 722188.i | 0.176927 | − | 0.128545i | ||||
\(502\) | −1.00558e6 | − | 3.09487e6i | −0.178098 | − | 0.548130i | ||||
\(503\) | 1.93426e6 | − | 5.95305e6i | 0.340875 | − | 1.04911i | −0.622880 | − | 0.782317i | \(-0.714038\pi\) |
0.963755 | − | 0.266788i | \(-0.0859625\pi\) | |||||||
\(504\) | 1.97717e6 | + | 1.43650e6i | 0.346711 | + | 0.251900i | ||||
\(505\) | 693718. | 0.121047 | ||||||||
\(506\) | −1.17252e6 | + | 2.67400e6i | −0.203584 | + | 0.464285i | ||||
\(507\) | −5.94500e6 | −1.02715 | ||||||||
\(508\) | −3.03697e6 | − | 2.20649e6i | −0.522133 | − | 0.379352i | ||||
\(509\) | −2.77372e6 | + | 8.53662e6i | −0.474534 | + | 1.46047i | 0.372050 | + | 0.928213i | \(0.378655\pi\) |
−0.846585 | + | 0.532254i | \(0.821345\pi\) | |||||||
\(510\) | 100930. | + | 310631.i | 0.0171828 | + | 0.0528833i | ||||
\(511\) | 6.18179e6 | − | 4.49133e6i | 1.04728 | − | 0.760892i | ||||
\(512\) | 1.50187e6 | − | 1.09117e6i | 0.253196 | − | 0.183958i | ||||
\(513\) | −670384. | − | 2.06323e6i | −0.112468 | − | 0.346142i | ||||
\(514\) | 1.43218e6 | − | 4.40781e6i | 0.239106 | − | 0.735894i | ||||
\(515\) | −563584. | − | 409468.i | −0.0936356 | − | 0.0680302i | ||||
\(516\) | −413597. | −0.0683838 | ||||||||
\(517\) | −6.46701e6 | − | 642862.i | −1.06409 | − | 0.105777i | ||||
\(518\) | 2.43116e6 | 0.398097 | ||||||||
\(519\) | −783540. | − | 569275.i | −0.127686 | − | 0.0927692i | ||||
\(520\) | −276498. | + | 850973.i | −0.0448418 | + | 0.138009i | ||||
\(521\) | −664892. | − | 2.04633e6i | −0.107314 | − | 0.330279i | 0.882953 | − | 0.469462i | \(-0.155552\pi\) |
−0.990267 | + | 0.139184i | \(0.955552\pi\) | |||||||
\(522\) | 394173. | − | 286383.i | 0.0633155 | − | 0.0460014i | ||||
\(523\) | −191274. | + | 138968.i | −0.0305774 | + | 0.0222158i | −0.602969 | − | 0.797765i | \(-0.706016\pi\) |
0.572392 | + | 0.819980i | \(0.306016\pi\) | |||||||
\(524\) | 1.13829e6 | + | 3.50330e6i | 0.181103 | + | 0.557377i | ||||
\(525\) | 1.38023e6 | − | 4.24791e6i | 0.218551 | − | 0.672631i | ||||
\(526\) | 3.76373e6 | + | 2.73451e6i | 0.593136 | + | 0.430939i | ||||
\(527\) | −4.81042e6 | −0.754495 | ||||||||
\(528\) | −505212. | + | 295495.i | −0.0788659 | + | 0.0461281i | ||||
\(529\) | −2.80183e6 | −0.435313 | ||||||||
\(530\) | −317581. | − | 230736.i | −0.0491094 | − | 0.0356801i | ||||
\(531\) | −729097. | + | 2.24393e6i | −0.112215 | + | 0.345361i | ||||
\(532\) | −2.56422e6 | − | 7.89184e6i | −0.392804 | − | 1.20892i | ||||
\(533\) | 2.82889e6 | − | 2.05531e6i | 0.431319 | − | 0.313371i | ||||
\(534\) | 1.05432e6 | − | 766010.i | 0.160000 | − | 0.116247i | ||||
\(535\) | −99523.4 | − | 306302.i | −0.0150328 | − | 0.0462663i | ||||
\(536\) | 1.63781e6 | − | 5.04066e6i | 0.246236 | − | 0.757836i | ||||
\(537\) | 1.06646e6 | + | 774827.i | 0.159591 | + | 0.115950i | ||||
\(538\) | −7.51050e6 | −1.11870 | ||||||||
\(539\) | −2.62845e6 | − | 2.33997e6i | −0.389698 | − | 0.346927i | ||||
\(540\) | −59345.2 | −0.00875793 | ||||||||
\(541\) | 1.46666e6 | + | 1.06559e6i | 0.215445 | + | 0.156530i | 0.690274 | − | 0.723548i | \(-0.257490\pi\) |
−0.474829 | + | 0.880078i | \(0.657490\pi\) | |||||||
\(542\) | 242856. | − | 747435.i | 0.0355101 | − | 0.109289i | ||||
\(543\) | −945095. | − | 2.90870e6i | −0.137555 | − | 0.423350i | ||||
\(544\) | −8.92881e6 | + | 6.48716e6i | −1.29359 | + | 0.939848i | ||||
\(545\) | 404228. | − | 293689.i | 0.0582955 | − | 0.0423542i | ||||
\(546\) | 1.72422e6 | + | 5.30661e6i | 0.247521 | + | 0.761790i | ||||
\(547\) | 202383. | − | 622870.i | 0.0289204 | − | 0.0890079i | −0.935554 | − | 0.353182i | \(-0.885099\pi\) |
0.964475 | + | 0.264175i | \(0.0850995\pi\) | |||||||
\(548\) | 1.31968e6 | + | 958803.i | 0.187723 | + | 0.136389i | ||||
\(549\) | 358885. | 0.0508188 | ||||||||
\(550\) | 3.54978e6 | + | 3.16017e6i | 0.500374 | + | 0.445455i | ||||
\(551\) | −4.69045e6 | −0.658165 | ||||||||
\(552\) | 2.61884e6 | + | 1.90270e6i | 0.365814 | + | 0.265780i | ||||
\(553\) | −2.63448e6 | + | 8.10809e6i | −0.366338 | + | 1.12747i | ||||
\(554\) | 1.31958e6 | + | 4.06125e6i | 0.182668 | + | 0.562193i | ||||
\(555\) | −135416. | + | 98385.5i | −0.0186611 | + | 0.0135581i | ||||
\(556\) | 4.04963e6 | − | 2.94223e6i | 0.555557 | − | 0.403636i | ||||
\(557\) | −3.67152e6 | − | 1.12998e7i | −0.501427 | − | 1.54323i | −0.806695 | − | 0.590968i | \(-0.798746\pi\) |
0.305268 | − | 0.952267i | \(-0.401254\pi\) | |||||||
\(558\) | −225610. | + | 694356.i | −0.0306742 | + | 0.0944054i | ||||
\(559\) | −2.16600e6 | − | 1.57369e6i | −0.293177 | − | 0.213005i | ||||
\(560\) | 120997. | 0.0163044 | ||||||||
\(561\) | 6.34991e6 | − | 3.71402e6i | 0.851844 | − | 0.498238i | ||||
\(562\) | −3.61171e6 | −0.482361 | ||||||||
\(563\) | 9.87469e6 | + | 7.17438e6i | 1.31296 | + | 0.953923i | 0.999991 | + | 0.00416105i | \(0.00132451\pi\) |
0.312972 | + | 0.949762i | \(0.398675\pi\) | |||||||
\(564\) | −785279. | + | 2.41684e6i | −0.103950 | + | 0.319926i | ||||
\(565\) | −263053. | − | 809592.i | −0.0346674 | − | 0.106695i | ||||
\(566\) | 1.94651e6 | − | 1.41423e6i | 0.255397 | − | 0.185557i | ||||
\(567\) | −848876. | + | 616745.i | −0.110889 | + | 0.0805653i | ||||
\(568\) | 351075. | + | 1.08050e6i | 0.0456593 | + | 0.140525i | ||||
\(569\) | −698849. | + | 2.15084e6i | −0.0904904 | + | 0.278501i | −0.986052 | − | 0.166436i | \(-0.946774\pi\) |
0.895562 | + | 0.444937i | \(0.146774\pi\) | |||||||
\(570\) | −386077. | − | 280501.i | −0.0497721 | − | 0.0361616i | ||||
\(571\) | 4.20948e6 | 0.540304 | 0.270152 | − | 0.962818i | \(-0.412926\pi\) | ||||
0.270152 | + | 0.962818i | \(0.412926\pi\) | |||||||
\(572\) | 7.07288e6 | + | 703089.i | 0.903870 | + | 0.0898505i | ||||
\(573\) | −2.24205e6 | −0.285271 | ||||||||
\(574\) | −1.69968e6 | − | 1.23489e6i | −0.215322 | − | 0.156441i | ||||
\(575\) | 1.82817e6 | − | 5.62652e6i | 0.230593 | − | 0.709692i | ||||
\(576\) | 647416. | + | 1.99254e6i | 0.0813068 | + | 0.250237i | ||||
\(577\) | −5.61704e6 | + | 4.08101e6i | −0.702373 | + | 0.510304i | −0.880704 | − | 0.473667i | \(-0.842930\pi\) |
0.178331 | + | 0.983970i | \(0.442930\pi\) | |||||||
\(578\) | −8.42398e6 | + | 6.12038e6i | −1.04881 | + | 0.762007i | ||||
\(579\) | −92066.3 | − | 283351.i | −0.0114131 | − | 0.0351260i | ||||
\(580\) | −39649.8 | + | 122030.i | −0.00489408 | + | 0.0150624i | ||||
\(581\) | 1.04205e7 | + | 7.57095e6i | 1.28070 | + | 0.930486i | ||||
\(582\) | 3.31528e6 | 0.405707 | ||||||||
\(583\) | −3.55050e6 | + | 8.09713e6i | −0.432632 | + | 0.986643i | ||||
\(584\) | 9.01415e6 | 1.09369 | ||||||||
\(585\) | −310790. | − | 225802.i | −0.0375472 | − | 0.0272796i | ||||
\(586\) | −677397. | + | 2.08481e6i | −0.0814890 | + | 0.250797i | ||||
\(587\) | 1.80686e6 | + | 5.56095e6i | 0.216436 | + | 0.666122i | 0.999049 | + | 0.0436127i | \(0.0138868\pi\) |
−0.782612 | + | 0.622509i | \(0.786113\pi\) | |||||||
\(588\) | −1.11325e6 | + | 808826.i | −0.132786 | + | 0.0964744i | ||||
\(589\) | 5.68616e6 | − | 4.13123e6i | 0.675352 | − | 0.490672i | ||||
\(590\) | 160384. | + | 493610.i | 0.0189684 | + | 0.0583787i | ||||
\(591\) | −683645. | + | 2.10404e6i | −0.0805122 | + | 0.247791i | ||||
\(592\) | 522220. | + | 379415.i | 0.0612420 | + | 0.0444949i | ||||
\(593\) | 8.85114e6 | 1.03362 | 0.516812 | − | 0.856099i | \(-0.327119\pi\) | ||||
0.516812 | + | 0.856099i | \(0.327119\pi\) | |||||||
\(594\) | −238285. | − | 1.09076e6i | −0.0277096 | − | 0.126842i | ||||
\(595\) | −1.52079e6 | −0.176107 | ||||||||
\(596\) | −1.62180e6 | − | 1.17831e6i | −0.187017 | − | 0.135876i | ||||
\(597\) | 201355. | − | 619707.i | 0.0231221 | − | 0.0711624i | ||||
\(598\) | 2.28379e6 | + | 7.02880e6i | 0.261158 | + | 0.803763i | ||||
\(599\) | 4.21259e6 | − | 3.06063e6i | 0.479714 | − | 0.348532i | −0.321501 | − | 0.946909i | \(-0.604187\pi\) |
0.801215 | + | 0.598377i | \(0.204187\pi\) | |||||||
\(600\) | 4.26280e6 | − | 3.09711e6i | 0.483411 | − | 0.351219i | ||||
\(601\) | 3.65187e6 | + | 1.12393e7i | 0.412410 | + | 1.26927i | 0.914547 | + | 0.404480i | \(0.132548\pi\) |
−0.502136 | + | 0.864789i | \(0.667452\pi\) | |||||||
\(602\) | −497091. | + | 1.52989e6i | −0.0559042 | + | 0.172055i | ||||
\(603\) | 1.84093e6 | + | 1.33752e6i | 0.206179 | + | 0.149798i | ||||
\(604\) | −3.52164e6 | −0.392783 | ||||||||
\(605\) | −368599. | + | 655393.i | −0.0409417 | + | 0.0727969i | ||||
\(606\) | 5.10331e6 | 0.564509 | ||||||||
\(607\) | −1.36089e7 | − | 9.88746e6i | −1.49917 | − | 1.08921i | −0.970709 | − | 0.240259i | \(-0.922768\pi\) |
−0.528466 | − | 0.848955i | \(-0.677232\pi\) | |||||||
\(608\) | 4.98306e6 | − | 1.53363e7i | 0.546685 | − | 1.68252i | ||||
\(609\) | 701039. | + | 2.15758e6i | 0.0765947 | + | 0.235734i | ||||
\(610\) | 63868.6 | − | 46403.3i | 0.00694965 | − | 0.00504922i | ||||
\(611\) | −1.33083e7 | + | 9.66905e6i | −1.44218 | + | 1.04781i | ||||
\(612\) | −888883. | − | 2.73570e6i | −0.0959326 | − | 0.295250i | ||||
\(613\) | −3.93335e6 | + | 1.21056e7i | −0.422777 | + | 1.30118i | 0.482329 | + | 0.875990i | \(0.339791\pi\) |
−0.905106 | + | 0.425185i | \(0.860209\pi\) | |||||||
\(614\) | −6.93337e6 | − | 5.03739e6i | −0.742205 | − | 0.539243i | ||||
\(615\) | 144647. | 0.0154213 | ||||||||
\(616\) | −2.58420e6 | − | 1.18293e7i | −0.274394 | − | 1.25605i | ||||
\(617\) | 9.06047e6 | 0.958160 | 0.479080 | − | 0.877771i | \(-0.340970\pi\) | ||||
0.479080 | + | 0.877771i | \(0.340970\pi\) | |||||||
\(618\) | −4.14599e6 | − | 3.01224e6i | −0.436674 | − | 0.317262i | ||||
\(619\) | 400128. | − | 1.23147e6i | 0.0419733 | − | 0.129180i | −0.927874 | − | 0.372894i | \(-0.878366\pi\) |
0.969847 | + | 0.243713i | \(0.0783656\pi\) | |||||||
\(620\) | −59413.9 | − | 182857.i | −0.00620739 | − | 0.0191044i | ||||
\(621\) | −1.12437e6 | + | 816901.i | −0.116998 | + | 0.0850042i | ||||
\(622\) | −3.85000e6 | + | 2.79719e6i | −0.399011 | + | 0.289898i | ||||
\(623\) | 1.87512e6 | + | 5.77103e6i | 0.193557 | + | 0.595707i | ||||
\(624\) | −457799. | + | 1.40896e6i | −0.0470667 | + | 0.144856i | ||||
\(625\) | −7.73561e6 | − | 5.62025e6i | −0.792126 | − | 0.575513i | ||||
\(626\) | 5.06824e6 | 0.516917 | ||||||||
\(627\) | −4.31627e6 | + | 9.84351e6i | −0.438470 | + | 0.999957i | ||||
\(628\) | 6.49309e6 | 0.656980 | ||||||||
\(629\) | −6.56367e6 | − | 4.76879e6i | −0.661485 | − | 0.480597i | ||||
\(630\) | −71325.3 | + | 219517.i | −0.00715966 | + | 0.0220352i | ||||
\(631\) | −1.00779e6 | − | 3.10167e6i | −0.100762 | − | 0.310114i | 0.887950 | − | 0.459940i | \(-0.152129\pi\) |
−0.988713 | + | 0.149825i | \(0.952129\pi\) | |||||||
\(632\) | −8.13651e6 | + | 5.91152e6i | −0.810299 | + | 0.588717i | ||||
\(633\) | 2.17335e6 | − | 1.57903e6i | 0.215586 | − | 0.156632i | ||||
\(634\) | −2.33614e6 | − | 7.18989e6i | −0.230821 | − | 0.710393i | ||||
\(635\) | 310627. | − | 956012.i | 0.0305707 | − | 0.0940869i | ||||
\(636\) | 2.79691e6 | + | 2.03208e6i | 0.274180 | + | 0.199204i | ||||
\(637\) | −8.90759e6 | −0.869784 | ||||||||
\(638\) | −2.40210e6 | − | 238784.i | −0.233635 | − | 0.0232248i | ||||
\(639\) | −487773. | −0.0472569 | ||||||||
\(640\) | −282125. | − | 204976.i | −0.0272265 | − | 0.0197812i | ||||
\(641\) | 174692. | − | 537647.i | 0.0167930 | − | 0.0516836i | −0.942309 | − | 0.334745i | \(-0.891350\pi\) |
0.959102 | + | 0.283061i | \(0.0913499\pi\) | |||||||
\(642\) | −732141. | − | 2.25330e6i | −0.0701063 | − | 0.215765i | ||||
\(643\) | 5.00366e6 | − | 3.63537e6i | 0.477266 | − | 0.346754i | −0.323000 | − | 0.946399i | \(-0.604692\pi\) |
0.800266 | + | 0.599645i | \(0.204692\pi\) | |||||||
\(644\) | −4.30070e6 | + | 3.12464e6i | −0.408625 | + | 0.296883i | ||||
\(645\) | −34224.3 | − | 105332.i | −0.00323918 | − | 0.00996918i | ||||
\(646\) | 7.14784e6 | − | 2.19988e7i | 0.673897 | − | 2.07404i | ||||
\(647\) | −1.54995e7 | − | 1.12610e7i | −1.45565 | − | 1.05759i | −0.984470 | − | 0.175556i | \(-0.943828\pi\) |
−0.471181 | − | 0.882037i | \(-0.656172\pi\) | |||||||
\(648\) | −1.23781e6 | −0.115802 | ||||||||
\(649\) | 1.00904e7 | − | 5.90179e6i | 0.940363 | − | 0.550012i | ||||
\(650\) | 1.20299e7 | 1.11681 | ||||||||
\(651\) | −2.75020e6 | − | 1.99814e6i | −0.254338 | − | 0.184788i | ||||
\(652\) | −397391. | + | 1.22304e6i | −0.0366100 | + | 0.112674i | ||||
\(653\) | −2.79448e6 | − | 8.60052e6i | −0.256459 | − | 0.789299i | −0.993539 | − | 0.113494i | \(-0.963796\pi\) |
0.737080 | − | 0.675806i | \(-0.236204\pi\) | |||||||
\(654\) | 2.97369e6 | − | 2.16051e6i | 0.271864 | − | 0.197521i | ||||
\(655\) | −798000. | + | 579781.i | −0.0726775 | + | 0.0528033i | ||||
\(656\) | −172375. | − | 530517.i | −0.0156392 | − | 0.0481326i | ||||
\(657\) | −1.19593e6 | + | 3.68071e6i | −0.108092 | + | 0.332673i | ||||
\(658\) | 7.99604e6 | + | 5.80946e6i | 0.719963 | + | 0.523084i | ||||
\(659\) | 486261. | 0.0436170 | 0.0218085 | − | 0.999762i | \(-0.493058\pi\) | ||||
0.0218085 | + | 0.999762i | \(0.493058\pi\) | |||||||
\(660\) | 219608. | + | 195505.i | 0.0196240 | + | 0.0174702i | ||||
\(661\) | 1.75953e6 | 0.156637 | 0.0783184 | − | 0.996928i | \(-0.475045\pi\) | ||||
0.0783184 | + | 0.996928i | \(0.475045\pi\) | |||||||
\(662\) | 717874. | + | 521566.i | 0.0636654 | + | 0.0462556i | ||||
\(663\) | 5.75398e6 | − | 1.77089e7i | 0.508375 | − | 1.56462i | ||||
\(664\) | 4.69550e6 | + | 1.44513e7i | 0.413297 | + | 1.27200i | ||||
\(665\) | 1.79765e6 | − | 1.30607e6i | 0.157634 | − | 0.114528i | ||||
\(666\) | −996184. | + | 723770.i | −0.0870270 | + | 0.0632288i | ||||
\(667\) | 928552. | + | 2.85779e6i | 0.0808149 | + | 0.248723i | ||||
\(668\) | −735552. | + | 2.26380e6i | −0.0637782 | + | 0.196289i | ||||
\(669\) | −506062. | − | 367676.i | −0.0437158 | − | 0.0317614i | ||||
\(670\) | 500559. | 0.0430793 | ||||||||
\(671\) | −1.32806e6 | − | 1.18230e6i | −0.113871 | − | 0.101373i | ||||
\(672\) | −7.79937e6 | −0.666249 | ||||||||
\(673\) | −1.07451e7 | − | 7.80674e6i | −0.914474 | − | 0.664404i | 0.0276687 | − | 0.999617i | \(-0.491192\pi\) |
−0.942142 | + | 0.335213i | \(0.891192\pi\) | |||||||
\(674\) | 1.32973e6 | − | 4.09248e6i | 0.112749 | − | 0.347006i | ||||
\(675\) | 699069. | + | 2.15151e6i | 0.0590555 | + | 0.181754i | ||||
\(676\) | 9.31770e6 | − | 6.76970e6i | 0.784227 | − | 0.569774i | ||||
\(677\) | 1.51718e6 | − | 1.10230e6i | 0.127223 | − | 0.0924329i | −0.522354 | − | 0.852729i | \(-0.674946\pi\) |
0.649577 | + | 0.760296i | \(0.274946\pi\) | |||||||
\(678\) | −1.93514e6 | − | 5.95574e6i | −0.161673 | − | 0.497579i | ||||
\(679\) | −4.77016e6 | + | 1.46810e7i | −0.397062 | + | 1.22203i | ||||
\(680\) | −1.45142e6 | − | 1.05452e6i | −0.120371 | − | 0.0874547i | ||||
\(681\) | 3.37803e6 | 0.279123 | ||||||||
\(682\) | 3.12234e6 | − | 1.82624e6i | 0.257051 | − | 0.150347i | ||||
\(683\) | −2.03885e7 | −1.67237 | −0.836185 | − | 0.548447i | \(-0.815219\pi\) | ||||
−0.836185 | + | 0.548447i | \(0.815219\pi\) | |||||||
\(684\) | 3.40015e6 | + | 2.47035e6i | 0.277880 | + | 0.201892i | ||||
\(685\) | −134979. | + | 415424.i | −0.0109911 | + | 0.0338271i | ||||
\(686\) | −1.51596e6 | − | 4.66565e6i | −0.122992 | − | 0.378531i | ||||
\(687\) | 2.18071e6 | − | 1.58438e6i | 0.176281 | − | 0.128076i | ||||
\(688\) | −345536. | + | 251047.i | −0.0278306 | + | 0.0202201i | ||||
\(689\) | 6.91556e6 | + | 2.12839e7i | 0.554983 | + | 1.70806i | ||||
\(690\) | −94473.1 | + | 290758.i | −0.00755414 | + | 0.0232493i | ||||
\(691\) | 888566. | + | 645581.i | 0.0707937 | + | 0.0514346i | 0.622619 | − | 0.782525i | \(-0.286069\pi\) |
−0.551826 | + | 0.833960i | \(0.686069\pi\) | |||||||
\(692\) | 1.87630e6 | 0.148949 | ||||||||
\(693\) | 5.17307e6 | + | 514236.i | 0.409181 | + | 0.0406752i | ||||
\(694\) | −1.41469e7 | −1.11497 | ||||||||
\(695\) | 1.08440e6 | + | 787864.i | 0.0851585 | + | 0.0618713i | ||||
\(696\) | −827009. | + | 2.54527e6i | −0.0647123 | + | 0.199164i | ||||
\(697\) | 2.16655e6 | + | 6.66795e6i | 0.168922 | + | 0.519889i | ||||
\(698\) | 7.76681e6 | − | 5.64292e6i | 0.603399 | − | 0.438395i | ||||
\(699\) | −9.24915e6 | + | 6.71990e6i | −0.715993 | + | 0.520199i | ||||
\(700\) | 2.67393e6 | + | 8.22952e6i | 0.206256 | + | 0.634789i | ||||
\(701\) | −4.49292e6 | + | 1.38278e7i | −0.345330 | + | 1.06282i | 0.616077 | + | 0.787686i | \(0.288721\pi\) |
−0.961407 | + | 0.275130i | \(0.911279\pi\) | |||||||
\(702\) | −2.28632e6 | − | 1.66111e6i | −0.175103 | − | 0.127220i | ||||
\(703\) | 1.18541e7 | 0.904646 | ||||||||
\(704\) | 4.16839e6 | − | 9.50626e6i | 0.316984 | − | 0.722900i | ||||
\(705\) | −680481. | −0.0515636 | ||||||||
\(706\) | 9.34027e6 | + | 6.78610e6i | 0.705258 | + | 0.512400i | ||||
\(707\) | −7.34286e6 | + | 2.25990e7i | −0.552481 | + | 1.70036i | ||||
\(708\) | −1.41249e6 | − | 4.34719e6i | −0.105901 | − | 0.325931i | ||||
\(709\) | 1.73149e7 | − | 1.25800e7i | 1.29361 | − | 0.939862i | 0.293738 | − | 0.955886i | \(-0.405101\pi\) |
0.999872 | + | 0.0160234i | \(0.00510064\pi\) | |||||||
\(710\) | −86806.1 | + | 63068.3i | −0.00646255 | + | 0.00469532i | ||||
\(711\) | −1.33433e6 | − | 4.10664e6i | −0.0989894 | − | 0.304658i | ||||
\(712\) | −2.21206e6 | + | 6.80803e6i | −0.163530 | + | 0.503293i | ||||
\(713\) | −3.64274e6 | − | 2.64661e6i | −0.268352 | − | 0.194969i | ||||
\(714\) | −1.11876e7 | −0.821283 | ||||||||
\(715\) | 406209. | + | 1.85944e6i | 0.0297156 | + | 0.136025i | ||||
\(716\) | −2.55379e6 | −0.186167 | ||||||||
\(717\) | 1.61864e6 | + | 1.17601e6i | 0.117585 | + | 0.0854308i | ||||
\(718\) | 1.52015e6 | − | 4.67854e6i | 0.110046 | − | 0.338687i | ||||
\(719\) | −3.72195e6 | − | 1.14550e7i | −0.268503 | − | 0.826367i | −0.990866 | − | 0.134852i | \(-0.956944\pi\) |
0.722363 | − | 0.691514i | \(-0.243056\pi\) | |||||||
\(720\) | −49579.4 | + | 36021.6i | −0.00356427 | + | 0.00258959i | ||||
\(721\) | 1.93045e7 | − | 1.40256e7i | 1.38300 | − | 1.00481i | ||||
\(722\) | 7.52359e6 | + | 2.31552e7i | 0.537133 | + | 1.65313i | ||||
\(723\) | −1.46714e6 | + | 4.51541e6i | −0.104382 | + | 0.321256i | ||||
\(724\) | 4.79347e6 | + | 3.48266e6i | 0.339863 | + | 0.246925i | ||||
\(725\) | 4.89114e6 | 0.345593 | ||||||||
\(726\) | −2.71159e6 | + | 4.82138e6i | −0.190934 | + | 0.339492i | ||||
\(727\) | 1.47037e7 | 1.03179 | 0.515896 | − | 0.856651i | \(-0.327459\pi\) | ||||
0.515896 | + | 0.856651i | \(0.327459\pi\) | |||||||
\(728\) | −2.47952e7 | − | 1.80147e7i | −1.73396 | − | 1.25979i | ||||
\(729\) | 164224. | − | 505430.i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | 263077. | + | 809666.i | 0.0182715 | + | 0.0562340i | ||||
\(731\) | 4.34297e6 | − | 3.15535e6i | 0.300603 | − | 0.218401i | ||||
\(732\) | −562486. | + | 408670.i | −0.0388002 | + | 0.0281900i | ||||
\(733\) | 3.11861e6 | + | 9.59809e6i | 0.214388 | + | 0.659819i | 0.999196 | + | 0.0400806i | \(0.0127615\pi\) |
−0.784808 | + | 0.619739i | \(0.787239\pi\) | |||||||
\(734\) | −5.24791e6 | + | 1.61514e7i | −0.359540 | + | 1.10655i | ||||
\(735\) | −298105. | − | 216586.i | −0.0203540 | − | 0.0147881i | ||||
\(736\) | −1.03306e7 | −0.702958 | ||||||||
\(737\) | −2.40614e6 | − | 1.10142e7i | −0.163174 | − | 0.746939i | ||||
\(738\) | 1.06409e6 | 0.0719181 | ||||||||
\(739\) | −2.19803e7 | − | 1.59696e7i | −1.48055 | − | 1.07568i | −0.977380 | − | 0.211489i | \(-0.932169\pi\) |
−0.503165 | − | 0.864190i | \(-0.667831\pi\) | |||||||
\(740\) | 100206. | − | 308403.i | 0.00672690 | − | 0.0207033i | ||||
\(741\) | 8.40710e6 | + | 2.58744e7i | 0.562472 | + | 1.73111i | ||||
\(742\) | 1.08781e7 | − | 7.90344e6i | 0.725346 | − | 0.526995i | ||||
\(743\) | −7.48446e6 | + | 5.43778e6i | −0.497380 | + | 0.361368i | −0.808015 | − | 0.589161i | \(-0.799458\pi\) |
0.310635 | + | 0.950529i | \(0.399458\pi\) | |||||||
\(744\) | −1.23925e6 | − | 3.81400e6i | −0.0820777 | − | 0.252609i | ||||
\(745\) | 165881. | − | 510529.i | 0.0109498 | − | 0.0337000i | ||||
\(746\) | 1.02643e7 | + | 7.45747e6i | 0.675279 | + | 0.490619i | ||||
\(747\) | −6.52379e6 | −0.427758 | ||||||||
\(748\) | −5.72308e6 | + | 1.30518e7i | −0.374004 | + | 0.852938i | ||||
\(749\) | 1.10317e7 | 0.718520 | ||||||||
\(750\) | 808021. | + | 587061.i | 0.0524529 | + | 0.0381093i | ||||
\(751\) | 6.24335e6 | − | 1.92151e7i | 0.403941 | − | 1.24320i | −0.517835 | − | 0.855480i | \(-0.673262\pi\) |
0.921776 | − | 0.387722i | \(-0.126738\pi\) | |||||||
\(752\) | 810927. | + | 2.49578e6i | 0.0522922 | + | 0.160939i | ||||
\(753\) | −6.20859e6 | + | 4.51080e6i | −0.399030 | + | 0.289912i | ||||
\(754\) | −4.94321e6 | + | 3.59146e6i | −0.316651 | + | 0.230061i | ||||
\(755\) | −291408. | − | 896863.i | −0.0186052 | − | 0.0572610i | ||||
\(756\) | 628157. | − | 1.93327e6i | 0.0399727 | − | 0.123023i | ||||
\(757\) | 5.67188e6 | + | 4.12086e6i | 0.359739 | + | 0.261365i | 0.752943 | − | 0.658086i | \(-0.228634\pi\) |
−0.393204 | + | 0.919451i | \(0.628634\pi\) | |||||||
\(758\) | 8.05979e6 | 0.509507 | ||||||||
\(759\) | 6.85192e6 | + | 681124.i | 0.431726 | + | 0.0429163i | ||||
\(760\) | 2.62129e6 | 0.164619 | ||||||||
\(761\) | 9.16713e6 | + | 6.66031e6i | 0.573815 | + | 0.416901i | 0.836489 | − | 0.547984i | \(-0.184604\pi\) |
−0.262674 | + | 0.964885i | \(0.584604\pi\) | |||||||
\(762\) | 2.28512e6 | − | 7.03287e6i | 0.142568 | − | 0.438779i | ||||
\(763\) | 5.28873e6 | + | 1.62770e7i | 0.328882 | + | 1.01219i | ||||
\(764\) | 3.51400e6 | − | 2.55307e6i | 0.217805 | − | 0.158245i | ||||
\(765\) | 623153. | − | 452747.i | 0.0384983 | − | 0.0279706i | ||||
\(766\) | 1.53560e6 | + | 4.72609e6i | 0.0945598 | + | 0.291025i | ||||
\(767\) | 9.14341e6 | − | 2.81405e7i | 0.561203 | − | 1.72720i | ||||
\(768\) | −8.10196e6 | − | 5.88642e6i | −0.495664 | − | 0.360121i | ||||
\(769\) | −1.87008e7 | −1.14036 | −0.570182 | − | 0.821519i | \(-0.693127\pi\) | ||||
−0.570182 | + | 0.821519i | \(0.693127\pi\) | |||||||
\(770\) | 987110. | − | 577354.i | 0.0599983 | − | 0.0350926i | ||||
\(771\) | −1.09299e7 | −0.662186 | ||||||||
\(772\) | 466955. | + | 339263.i | 0.0281989 | + | 0.0204877i | ||||
\(773\) | 4.58096e6 | − | 1.40987e7i | 0.275745 | − | 0.848656i | −0.713276 | − | 0.700883i | \(-0.752789\pi\) |
0.989021 | − | 0.147773i | \(-0.0472105\pi\) | |||||||
\(774\) | −251770. | − | 774869.i | −0.0151061 | − | 0.0464917i | ||||
\(775\) | −5.92946e6 | + | 4.30800e6i | −0.354618 | + | 0.257645i | ||||
\(776\) | −1.47325e7 | + | 1.07038e7i | −0.878258 | + | 0.638092i | ||||
\(777\) | −1.77172e6 | − | 5.45279e6i | −0.105279 | − | 0.324016i | ||||
\(778\) | −5.59862e6 | + | 1.72308e7i | −0.331614 | + | 1.02060i | ||||
\(779\) | −8.28747e6 | − | 6.02120e6i | −0.489303 | − | 0.355500i | ||||
\(780\) | 744233. | 0.0437998 | ||||||||
\(781\) | 1.80501e6 | + | 1.60690e6i | 0.105889 | + | 0.0942676i | ||||
\(782\) | −1.48184e7 | −0.866534 | ||||||||
\(783\) | −929578. | − | 675378.i | −0.0541853 | − | 0.0393679i | ||||
\(784\) | −439114. | + | 1.35145e6i | −0.0255145 | + | 0.0785255i | ||||
\(785\) | 537290. | + | 1.65361e6i | 0.0311196 | + | 0.0957763i | ||||
\(786\) | −5.87047e6 | + | 4.26514e6i | −0.338935 | + | 0.246251i | ||||
\(787\) | 7.97608e6 | − | 5.79496e6i | 0.459042 | − | 0.333514i | −0.334113 | − | 0.942533i | \(-0.608437\pi\) |
0.793155 | + | 0.609019i | \(0.208437\pi\) | |||||||
\(788\) | −1.32443e6 | − | 4.07619e6i | −0.0759826 | − | 0.233851i | ||||
\(789\) | 3.39034e6 | − | 1.04344e7i | 0.193888 | − | 0.596725i | ||||
\(790\) | −768445. | − | 558308.i | −0.0438072 | − | 0.0318278i | ||||
\(791\) | 2.91582e7 | 1.65699 | ||||||||
\(792\) | 4.58055e6 | + | 4.07781e6i | 0.259480 | + | 0.231001i | ||||
\(793\) | −4.50068e6 | −0.254153 | ||||||||
\(794\) | −6.47220e6 | − | 4.70233e6i | −0.364335 | − | 0.264705i | ||||
\(795\) | −286074. | + | 880446.i | −0.0160532 | + | 0.0494066i | ||||
\(796\) | 390087. | + | 1.20057e6i | 0.0218212 | + | 0.0671588i | ||||
\(797\) | −75476.8 | + | 54837.1i | −0.00420889 | + | 0.00305794i | −0.589888 | − | 0.807485i | \(-0.700828\pi\) |
0.585679 | + | 0.810543i | \(0.300828\pi\) | |||||||
\(798\) | 1.32243e7 | − | 9.60804e6i | 0.735134 | − | 0.534106i | ||||
\(799\) | −1.01924e7 | − | 3.13689e7i | −0.564818 | − | 1.73833i | ||||
\(800\) | −5.19628e6 | + | 1.59925e7i | −0.287057 | + | 0.883470i | ||||
\(801\) | −2.48641e6 | − | 1.80648e6i | −0.136928 | − | 0.0994838i | ||||
\(802\) | 35353.3 | 0.00194086 | ||||||||
\(803\) | 1.65512e7 | − | 9.68068e6i | 0.905817 | − | 0.529806i | ||||
\(804\) | −4.40839e6 | −0.240514 | ||||||||
\(805\) | −1.15163e6 | − | 836710.i | −0.0626360 | − | 0.0455078i | ||||
\(806\) | 2.82931e6 | − | 8.70773e6i | 0.153406 | − | 0.472136i | ||||
\(807\) | 5.47331e6 | + | 1.68451e7i | 0.295847 | + | 0.910522i | ||||
\(808\) | −2.26782e7 | + | 1.64767e7i | −1.22203 | + | 0.887854i | ||||
\(809\) | −2.46700e7 | + | 1.79238e7i | −1.32525 | + | 0.962849i | −0.325397 | + | 0.945578i | \(0.605498\pi\) |
−0.999851 | + | 0.0172710i | \(0.994502\pi\) | |||||||
\(810\) | −36125.4 | − | 111182.i | −0.00193464 | − | 0.00595420i | ||||
\(811\) | 6.03765e6 | − | 1.85820e7i | 0.322341 | − | 0.992064i | −0.650286 | − | 0.759690i | \(-0.725351\pi\) |
0.972627 | − | 0.232374i | \(-0.0746492\pi\) | |||||||
\(812\) | −3.55563e6 | − | 2.58332e6i | −0.189246 | − | 0.137495i | ||||
\(813\) | −1.85339e6 | −0.0983422 | ||||||||
\(814\) | 6.07076e6 | + | 603473.i | 0.321131 | + | 0.0319225i | ||||
\(815\) | −344358. | −0.0181600 | ||||||||
\(816\) | −2.40313e6 | − | 1.74598e6i | −0.126343 | − | 0.0917939i | ||||
\(817\) | −2.42376e6 | + | 7.45956e6i | −0.127038 | + | 0.390983i | ||||
\(818\) | −4.01942e6 | − | 1.23705e7i | −0.210029 | − | 0.646404i | ||||
\(819\) | 1.06455e7 | − | 7.73443e6i | 0.554571 | − | 0.402920i | ||||
\(820\) | −226708. | + | 164713.i | −0.0117742 | + | 0.00855447i | ||||
\(821\) | −1.32430e6 | − | 4.07577e6i | −0.0685691 | − | 0.211034i | 0.910900 | − | 0.412626i | \(-0.135388\pi\) |
−0.979470 | + | 0.201592i | \(0.935388\pi\) | |||||||
\(822\) | −992972. | + | 3.05605e6i | −0.0512575 | + | 0.157754i | ||||
\(823\) | 6.17852e6 | + | 4.48896e6i | 0.317969 | + | 0.231018i | 0.735308 | − | 0.677733i | \(-0.237037\pi\) |
−0.417339 | + | 0.908751i | \(0.637037\pi\) | |||||||
\(824\) | 2.81494e7 | 1.44428 | ||||||||
\(825\) | 4.50096e6 | − | 1.02647e7i | 0.230234 | − | 0.525063i | ||||
\(826\) | −1.77778e7 | −0.906626 | ||||||||
\(827\) | 1.82364e7 | + | 1.32495e7i | 0.927202 | + | 0.673652i | 0.945306 | − | 0.326184i | \(-0.105763\pi\) |
−0.0181038 | + | 0.999836i | \(0.505763\pi\) | |||||||
\(828\) | 832018. | − | 2.56069e6i | 0.0421752 | − | 0.129802i | ||||
\(829\) | 1.74640e6 | + | 5.37488e6i | 0.0882588 | + | 0.271633i | 0.985438 | − | 0.170033i | \(-0.0543876\pi\) |
−0.897179 | + | 0.441666i | \(0.854388\pi\) | |||||||
\(830\) | −1.16100e6 | + | 843516.i | −0.0584974 | + | 0.0425009i | ||||
\(831\) | 8.14724e6 | − | 5.91931e6i | 0.409268 | − | 0.297351i | ||||
\(832\) | −8.11907e6 | − | 2.49879e7i | −0.406629 | − | 1.25147i | ||||
\(833\) | 5.51913e6 | − | 1.69861e7i | 0.275586 | − | 0.848168i | ||||
\(834\) | 7.97737e6 | + | 5.79590e6i | 0.397141 | + | 0.288540i | ||||
\(835\) | −637390. | −0.0316366 | ||||||||
\(836\) | −4.44407e6 | − | 2.03429e7i | −0.219920 | − | 1.00670i | ||||
\(837\) | 1.72177e6 | 0.0849496 | ||||||||
\(838\) | 1.94698e6 | + | 1.41456e6i | 0.0957748 | + | 0.0695844i | ||||
\(839\) | 1.40846e6 | − | 4.33479e6i | 0.0690780 | − | 0.212600i | −0.910558 | − | 0.413381i | \(-0.864348\pi\) |
0.979636 | + | 0.200781i | \(0.0643479\pi\) | |||||||
\(840\) | −391781. | − | 1.20578e6i | −0.0191578 | − | 0.0589615i | ||||
\(841\) | 1.45840e7 | − | 1.05959e7i | 0.711030 | − | 0.516594i | ||||
\(842\) | 5.37149e6 | − | 3.90262e6i | 0.261105 | − | 0.189704i | ||||
\(843\) | 2.63205e6 | + | 8.10062e6i | 0.127563 | + | 0.392599i | ||||
\(844\) | −1.60825e6 | + | 4.94969e6i | −0.0777137 | + | 0.239178i | ||||
\(845\) | 2.49507e6 | + | 1.81278e6i | 0.120210 | + | 0.0873379i | ||||
\(846\) | −5.00594e6 | −0.240469 | ||||||||
\(847\) | −1.74490e7 | − | 1.89449e7i | −0.835720 | − | 0.907370i | ||||
\(848\) | 3.57009e6 | 0.170486 | ||||||||
\(849\) | −4.59047e6 | − | 3.33517e6i | −0.218568 | − | 0.158799i | ||||
\(850\) | −7.45369e6 | + | 2.29401e7i | −0.353854 | + | 1.08905i | ||||
\(851\) | −2.34671e6 | − | 7.22243e6i | −0.111080 | − | 0.341869i | ||||
\(852\) | 764495. | − | 555438.i | 0.0360808 | − | 0.0262142i | ||||
\(853\) | −2.08517e7 | + | 1.51497e7i | −0.981228 | + | 0.712904i | −0.957983 | − | 0.286826i | \(-0.907400\pi\) |
−0.0232450 | + | 0.999730i | \(0.507400\pi\) | |||||||
\(854\) | 835627. | + | 2.57180e6i | 0.0392074 | + | 0.120668i | ||||
\(855\) | −347774. | + | 1.07034e6i | −0.0162698 | + | 0.0500733i | ||||
\(856\) | 1.05286e7 | + | 7.64945e6i | 0.491117 | + | 0.356817i | ||||
\(857\) | −4.17864e7 | −1.94349 | −0.971746 | − | 0.236028i | \(-0.924154\pi\) | ||||
−0.971746 | + | 0.236028i | \(0.924154\pi\) | |||||||
\(858\) | 2.98826e6 | + | 1.36789e7i | 0.138580 | + | 0.634357i | ||||
\(859\) | −2.10963e7 | −0.975491 | −0.487745 | − | 0.872986i | \(-0.662181\pi\) | ||||
−0.487745 | + | 0.872986i | \(0.662181\pi\) | |||||||
\(860\) | 173584. | + | 126116.i | 0.00800319 | + | 0.00581466i | ||||
\(861\) | −1.53106e6 | + | 4.71212e6i | −0.0703857 | + | 0.216625i | ||||
\(862\) | −3.40986e6 | − | 1.04945e7i | −0.156303 | − | 0.481052i | ||||
\(863\) | −2.79883e7 | + | 2.03347e7i | −1.27923 | + | 0.929416i | −0.999530 | − | 0.0306713i | \(-0.990235\pi\) |
−0.279701 | + | 0.960087i | \(0.590235\pi\) | |||||||
\(864\) | 3.19584e6 | − | 2.32192e6i | 0.145647 | − | 0.105819i | ||||
\(865\) | 155260. | + | 477842.i | 0.00705537 | + | 0.0217142i | ||||
\(866\) | 4.49093e6 | − | 1.38217e7i | 0.203489 | − | 0.626276i | ||||
\(867\) | 1.98663e7 | + | 1.44337e7i | 0.897571 | + | 0.652124i | ||||
\(868\) | 6.58576e6 | 0.296693 | ||||||||
\(869\) | −8.59109e6 | + | 1.95925e7i | −0.385921 | + | 0.880116i | ||||
\(870\) | −252757. | −0.0113215 | ||||||||
\(871\) | −2.30867e7 | − | 1.67734e7i | −1.03114 | − | 0.749164i | ||||
\(872\) | −6.23907e6 | + | 1.92019e7i | −0.277862 | + | 0.855170i | ||||
\(873\) | −2.41602e6 | − | 7.43576e6i | −0.107292 | − | 0.330209i | ||||
\(874\) | 1.75161e7 | − | 1.27262e7i | 0.775638 | − | 0.563534i | ||||
\(875\) | −3.76230e6 | + | 2.73347e6i | −0.166124 | + | 0.120696i | ||||
\(876\) | −2.31690e6 | − | 7.13067e6i | −0.102011 | − | 0.313957i | ||||
\(877\) | 5.55530e6 | − | 1.70975e7i | 0.243898 | − | 0.750641i | −0.751918 | − | 0.659257i | \(-0.770871\pi\) |
0.995816 | − | 0.0913843i | \(-0.0291292\pi\) | |||||||
\(878\) | −1.55981e7 | − | 1.13327e7i | −0.682866 | − | 0.496131i | ||||
\(879\) | 5.16963e6 | 0.225677 | ||||||||
\(880\) | 302138. | + | 30034.4i | 0.0131522 | + | 0.00130741i | ||||
\(881\) | 4.11396e7 | 1.78575 | 0.892875 | − | 0.450305i | \(-0.148685\pi\) | ||||
0.892875 | + | 0.450305i | \(0.148685\pi\) | |||||||
\(882\) | −2.19300e6 | − | 1.59331e6i | −0.0949220 | − | 0.0689649i | ||||
\(883\) | −4.67324e6 | + | 1.43827e7i | −0.201705 | + | 0.620783i | 0.798128 | + | 0.602488i | \(0.205824\pi\) |
−0.999833 | + | 0.0182953i | \(0.994176\pi\) | |||||||
\(884\) | 1.11472e7 | + | 3.43077e7i | 0.479774 | + | 1.47659i | ||||
\(885\) | 990226. | − | 719442.i | 0.0424988 | − | 0.0308772i | ||||
\(886\) | 4.67781e6 | − | 3.39863e6i | 0.200197 | − | 0.145452i | ||||
\(887\) | 1.35128e7 | + | 4.15881e7i | 0.576682 | + | 1.77484i | 0.630380 | + | 0.776287i | \(0.282899\pi\) |
−0.0536981 | + | 0.998557i | \(0.517101\pi\) | |||||||
\(888\) | 2.09008e6 | − | 6.43261e6i | 0.0889469 | − | 0.273750i | ||||
\(889\) | 2.78558e7 | + | 2.02384e7i | 1.18212 | + | 0.858859i | ||||
\(890\) | −676067. | −0.0286098 | ||||||||
\(891\) | −2.27279e6 | + | 1.32934e6i | −0.0959102 | + | 0.0560973i | ||||
\(892\) | 1.21184e6 | 0.0509957 | ||||||||
\(893\) | 3.89878e7 | + | 2.83263e7i | 1.63606 | + | 1.18867i | ||||
\(894\) | 1.22030e6 | − | 3.75569e6i | 0.0510648 | − | 0.157161i | ||||
\(895\) | −211321. | − | 650379.i | −0.00881830 | − | 0.0271399i | ||||
\(896\) | 9.66368e6 | − | 7.02107e6i | 0.402136 | − | 0.292169i | ||||
\(897\) | 1.41004e7 | − | 1.02445e7i | 0.585127 | − | 0.425120i | ||||
\(898\) | 3.15366e6 | + | 9.70598e6i | 0.130504 | + | 0.401651i | ||||
\(899\) | 1.15035e6 | − | 3.54042e6i | 0.0474713 | − | 0.146102i | ||||
\(900\) | −3.54564e6 | − | 2.57606e6i | −0.145911 | − | 0.106011i | ||||
\(901\) | −4.48717e7 | −1.84145 | ||||||||
\(902\) | −3.93769e6 | − | 3.50551e6i | −0.161148 | − | 0.143461i | ||||
\(903\) | 3.79361e6 | 0.154822 | ||||||||
\(904\) | 2.78283e7 | + | 2.02184e7i | 1.13257 | + | 0.822860i | ||||
\(905\) | −490286. | + | 1.50895e6i | −0.0198989 | + | 0.0612424i | ||||
\(906\) | −2.14374e6 | − | 6.59774e6i | −0.0867663 | − | 0.267039i | ||||
\(907\) | −2.47567e7 | + | 1.79868e7i | −0.999252 | + | 0.725999i | −0.961928 | − | 0.273304i | \(-0.911883\pi\) |
−0.0373243 | + | 0.999303i | \(0.511883\pi\) | |||||||
\(908\) | −5.29444e6 | + | 3.84664e6i | −0.213111 | + | 0.154834i | ||||
\(909\) | −3.71907e6 | − | 1.14461e7i | −0.149288 | − | 0.459460i | ||||
\(910\) | 894472. | − | 2.75290e6i | 0.0358066 | − | 0.110201i | ||||
\(911\) | −1.22385e7 | − | 8.89178e6i | −0.488575 | − | 0.354971i | 0.316061 | − | 0.948739i | \(-0.397640\pi\) |
−0.804636 | + | 0.593768i | \(0.797640\pi\) | |||||||
\(912\) | 4.34009e6 | 0.172787 | ||||||||
\(913\) | 2.41414e7 | + | 2.14918e7i | 0.958485 | + | 0.853287i | ||||
\(914\) | 9.87273e6 | 0.390906 | ||||||||
\(915\) | −150621. | − | 109433.i | −0.00594749 | − | 0.00432111i | ||||
\(916\) | −1.61370e6 | + | 4.96645e6i | −0.0635453 | + | 0.195572i | ||||
\(917\) | −1.04407e7 | − | 3.21331e7i | −0.410020 | − | 1.26191i | ||||
\(918\) | 4.58421e6 | − | 3.33062e6i | 0.179538 | − | 0.130442i | ||||
\(919\) | −3.87760e6 | + | 2.81724e6i | −0.151452 | + | 0.110036i | −0.660931 | − | 0.750447i | \(-0.729838\pi\) |
0.509479 | + | 0.860483i | \(0.329838\pi\) | |||||||
\(920\) | −518928. | − | 1.59710e6i | −0.0202133 | − | 0.0622102i | ||||
\(921\) | −6.24552e6 | + | 1.92217e7i | −0.242616 | + | 0.746695i | ||||
\(922\) | −1.58111e7 | − | 1.14874e7i | −0.612539 | − | 0.445036i | ||||
\(923\) | 6.11703e6 | 0.236340 | ||||||||
\(924\) | −8.69341e6 | + | 5.08472e6i | −0.334973 | + | 0.195924i | ||||
\(925\) | −1.23613e7 | −0.475017 | ||||||||
\(926\) | 156989. | + | 114060.i | 0.00601649 | + | 0.00437123i | ||||
\(927\) | −3.73467e6 | + | 1.14941e7i | −0.142742 | + | 0.439316i | ||||
\(928\) | −2.63927e6 | − | 8.12283e6i | −0.100604 | − | 0.309626i | ||||
\(929\) | 8.08331e6 | − | 5.87287e6i | 0.307291 | − | 0.223260i | −0.423442 | − | 0.905923i | \(-0.639178\pi\) |
0.730733 | + | 0.682663i | \(0.239178\pi\) | |||||||
\(930\) | 306413. | − | 222622.i | 0.0116172 | − | 0.00844036i | ||||
\(931\) | 8.06396e6 | + | 2.48183e7i | 0.304912 | + | 0.938422i | ||||
\(932\) | 6.84425e6 | − | 2.10644e7i | 0.258099 | − | 0.794347i | ||||
\(933\) | 9.07946e6 | + | 6.59661e6i | 0.341472 | + | 0.248094i | ||||
\(934\) | 3.53810e7 | 1.32710 | ||||||||
\(935\) | −3.79751e6 | − | 377496.i | −0.142059 | − | 0.0141216i | ||||
\(936\) | 1.55231e7 | 0.579146 | ||||||||
\(937\) | 6.26693e6 | + | 4.55319e6i | 0.233188 | + | 0.169421i | 0.698243 | − | 0.715861i | \(-0.253966\pi\) |
−0.465055 | + | 0.885282i | \(0.653966\pi\) | |||||||
\(938\) | −5.29832e6 | + | 1.63066e7i | −0.196622 | + | 0.605139i | ||||
\(939\) | −3.69350e6 | − | 1.13674e7i | −0.136702 | − | 0.420725i | ||||
\(940\) | 1.06653e6 | − | 774879.i | 0.0393689 | − | 0.0286032i | ||||
\(941\) | −2.63129e7 | + | 1.91174e7i | −0.968712 | + | 0.703810i | −0.955158 | − | 0.296098i | \(-0.904315\pi\) |
−0.0135542 | + | 0.999908i | \(0.504315\pi\) | |||||||
\(942\) | 3.95255e6 | + | 1.21647e7i | 0.145128 | + | 0.446657i | ||||
\(943\) | −2.02795e6 | + | 6.24138e6i | −0.0742638 | + | 0.228560i | ||||
\(944\) | −3.81872e6 | − | 2.77446e6i | −0.139472 | − | 0.101333i | ||||
\(945\) | 544328. | 0.0198281 | ||||||||
\(946\) | −1.62102e6 | + | 3.69684e6i | −0.0588927 | + | 0.134308i | ||||
\(947\) | 3.09940e7 | 1.12306 | 0.561530 | − | 0.827456i | \(-0.310213\pi\) | ||||
0.561530 | + | 0.827456i | \(0.310213\pi\) | |||||||
\(948\) | 6.76764e6 | + | 4.91698e6i | 0.244578 | + | 0.177696i | ||||
\(949\) | 1.49979e7 | − | 4.61588e7i | 0.540586 | − | 1.66375i | ||||
\(950\) | −1.08905e7 | − | 3.35176e7i | −0.391508 | − | 1.20494i | ||||
\(951\) | −1.44236e7 | + | 1.04793e7i | −0.517156 | + | 0.375736i | ||||
\(952\) | 4.97158e7 | − | 3.61207e7i | 1.77788 | − | 1.29171i | ||||
\(953\) | −1.04509e7 | − | 3.21646e7i | −0.372754 | − | 1.14722i | −0.944981 | − | 0.327124i | \(-0.893921\pi\) |
0.572227 | − | 0.820095i | \(-0.306079\pi\) | |||||||
\(954\) | −2.10450e6 | + | 6.47697e6i | −0.0748647 | + | 0.230410i | ||||
\(955\) | 940970. | + | 683655.i | 0.0333862 | + | 0.0242565i | ||||
\(956\) | −3.87608e6 | −0.137167 | ||||||||
\(957\) | 1.21498e6 | + | 5.56162e6i | 0.0428833 | + | 0.196301i | ||||
\(958\) | −3.63364e7 | −1.27917 | ||||||||
\(959\) | −1.21044e7 | − | 8.79436e6i | −0.425008 | − | 0.308786i | ||||
\(960\) | 335859. | − | 1.03367e6i | 0.0117619 | − | 0.0361995i | ||||
\(961\) | −7.12313e6 | − | 2.19227e7i | −0.248807 | − | 0.765749i | ||||
\(962\) | 1.24929e7 | − | 9.07661e6i | 0.435236 | − | 0.316217i | ||||
\(963\) | −4.52032e6 | + | 3.28421e6i | −0.157074 | + | 0.114121i | ||||
\(964\) | −2.84231e6 | − | 8.74775e6i | −0.0985098 | − | 0.303182i | ||||
\(965\) | −47761.1 | + | 146994.i | −0.00165103 | + | 0.00508136i | ||||
\(966\) | −8.47195e6 | − | 6.15523e6i | −0.292106 | − | 0.212228i | ||||
\(967\) | 1.45003e7 | 0.498668 | 0.249334 | − | 0.968418i | \(-0.419788\pi\) | ||||
0.249334 | + | 0.968418i | \(0.419788\pi\) | |||||||
\(968\) | −3.51660e6 | − | 3.01800e7i | −0.120624 | − | 1.03522i | ||||
\(969\) | −5.45496e7 | −1.86630 | ||||||||
\(970\) | −1.39140e6 | − | 1.01091e6i | −0.0474812 | − | 0.0344971i | ||||
\(971\) | −1.75820e7 | + | 5.41117e7i | −0.598438 | + | 1.84180i | −0.0616293 | + | 0.998099i | \(0.519630\pi\) |
−0.536809 | + | 0.843704i | \(0.680370\pi\) | |||||||
\(972\) | 318154. | + | 979176.i | 0.0108012 | + | 0.0332426i | ||||
\(973\) | −3.71441e7 | + | 2.69868e7i | −1.25779 | + | 0.913838i | ||||
\(974\) | −1.99698e7 | + | 1.45089e7i | −0.674492 | + | 0.490047i | ||||
\(975\) | −8.76683e6 | − | 2.69815e7i | −0.295346 | − | 0.908982i | ||||
\(976\) | −221868. | + | 682840.i | −0.00745539 | + | 0.0229453i | ||||
\(977\) | 2.51461e7 | + | 1.82697e7i | 0.842817 | + | 0.612343i | 0.923156 | − | 0.384425i | \(-0.125600\pi\) |
−0.0803390 | + | 0.996768i | \(0.525600\pi\) | |||||||
\(978\) | −2.53326e6 | −0.0846901 | ||||||||
\(979\) | 3.24979e6 | + | 1.48761e7i | 0.108367 | + | 0.496057i | ||||
\(980\) | 713856. | 0.0237435 | ||||||||
\(981\) | −7.01286e6 | − | 5.09514e6i | −0.232660 | − | 0.169038i | ||||
\(982\) | −3.25617e6 | + | 1.00215e7i | −0.107753 | + | 0.331629i | ||||
\(983\) | −9.08813e6 | − | 2.79704e7i | −0.299979 | − | 0.923240i | −0.981503 | − | 0.191445i | \(-0.938683\pi\) |
0.681525 | − | 0.731795i | \(-0.261317\pi\) | |||||||
\(984\) | −4.72863e6 | + | 3.43555e6i | −0.155685 | + | 0.113112i | ||||
\(985\) | 928496. | − | 674591.i | 0.0304922 | − | 0.0221539i | ||||
\(986\) | −3.78584e6 | − | 1.16516e7i | −0.124014 | − | 0.381675i | ||||
\(987\) | 7.20276e6 | − | 2.21678e7i | 0.235345 | − | 0.724319i | ||||
\(988\) | −4.26404e7 | − | 3.09800e7i | −1.38972 | − | 1.00969i | ||||
\(989\) | 5.02478e6 | 0.163353 | ||||||||
\(990\) | −232593. | + | 530443.i | −0.00754240 | + | 0.0172009i | ||||
\(991\) | 5.86096e7 | 1.89576 | 0.947882 | − | 0.318620i | \(-0.103219\pi\) | ||||
0.947882 | + | 0.318620i | \(0.103219\pi\) | |||||||
\(992\) | 1.03539e7 | + | 7.52258e6i | 0.334062 | + | 0.242710i | ||||
\(993\) | 646655. | − | 1.99020e6i | 0.0208113 | − | 0.0640506i | ||||
\(994\) | −1.13573e6 | − | 3.49542e6i | −0.0364594 | − | 0.112210i | ||||
\(995\) | −273471. | + | 198688.i | −0.00875697 | + | 0.00636231i | ||||
\(996\) | 1.02248e7 | − | 7.42878e6i | 0.326594 | − | 0.237285i | ||||
\(997\) | −1.22917e7 | − | 3.78301e7i | −0.391630 | − | 1.20531i | −0.931555 | − | 0.363599i | \(-0.881548\pi\) |
0.539926 | − | 0.841713i | \(-0.318452\pi\) | |||||||
\(998\) | −644194. | + | 1.98263e6i | −0.0204734 | + | 0.0630107i | ||||
\(999\) | 2.34930e6 | + | 1.70687e6i | 0.0744775 | + | 0.0541111i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 33.6.e.b.4.2 | ✓ | 20 | |
3.2 | odd | 2 | 99.6.f.b.37.4 | 20 | |||
11.3 | even | 5 | inner | 33.6.e.b.25.2 | yes | 20 | |
11.5 | even | 5 | 363.6.a.r.1.8 | 10 | |||
11.6 | odd | 10 | 363.6.a.t.1.3 | 10 | |||
33.5 | odd | 10 | 1089.6.a.bk.1.3 | 10 | |||
33.14 | odd | 10 | 99.6.f.b.91.4 | 20 | |||
33.17 | even | 10 | 1089.6.a.bi.1.8 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.6.e.b.4.2 | ✓ | 20 | 1.1 | even | 1 | trivial | |
33.6.e.b.25.2 | yes | 20 | 11.3 | even | 5 | inner | |
99.6.f.b.37.4 | 20 | 3.2 | odd | 2 | |||
99.6.f.b.91.4 | 20 | 33.14 | odd | 10 | |||
363.6.a.r.1.8 | 10 | 11.5 | even | 5 | |||
363.6.a.t.1.3 | 10 | 11.6 | odd | 10 | |||
1089.6.a.bi.1.8 | 10 | 33.17 | even | 10 | |||
1089.6.a.bk.1.3 | 10 | 33.5 | odd | 10 |