Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [735,2,Mod(128,735)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(735, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("735.128");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 735 = 3 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 735.y (of order \(12\), degree \(4\), not 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: | \(5.86900454856\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 128.1 | ||
Character | \(\chi\) | \(=\) | 735.128 |
Dual form | 735.2.y.g.557.1 |
$q$-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 \(\left(\mathbb{Z}/735\mathbb{Z}\right)^\times\).
\(n\) | \(346\) | \(442\) | \(491\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.45834 | + | 0.658710i | −1.73831 | + | 0.465779i | −0.982070 | − | 0.188517i | \(-0.939632\pi\) |
−0.756239 | + | 0.654295i | \(0.772965\pi\) | |||||||
\(3\) | 1.68402 | − | 0.405074i | 0.972268 | − | 0.233870i | ||||
\(4\) | 3.87749 | − | 2.23867i | 1.93874 | − | 1.11933i | ||||
\(5\) | −1.98846 | + | 1.02275i | −0.889268 | + | 0.457386i | ||||
\(6\) | −3.87306 | + | 2.10509i | −1.58117 | + | 0.859399i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −4.45829 | + | 4.45829i | −1.57624 | + | 1.57624i | ||||
\(9\) | 2.67183 | − | 1.36430i | 0.890610 | − | 0.454768i | ||||
\(10\) | 4.21463 | − | 3.82408i | 1.33278 | − | 1.20928i | ||||
\(11\) | −1.35854 | + | 0.784351i | −0.409614 | + | 0.236491i | −0.690624 | − | 0.723214i | \(-0.742664\pi\) |
0.281010 | + | 0.959705i | \(0.409331\pi\) | |||||||
\(12\) | 5.62293 | − | 5.34063i | 1.62320 | − | 1.54171i | ||||
\(13\) | −2.21881 | − | 2.21881i | −0.615386 | − | 0.615386i | 0.328958 | − | 0.944345i | \(-0.393303\pi\) |
−0.944345 | + | 0.328958i | \(0.893303\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.93432 | + | 2.52780i | −0.757639 | + | 0.652674i | ||||
\(16\) | 3.54593 | − | 6.14174i | 0.886484 | − | 1.53543i | ||||
\(17\) | 1.32034 | − | 4.92759i | 0.320230 | − | 1.19512i | −0.598790 | − | 0.800906i | \(-0.704352\pi\) |
0.919020 | − | 0.394210i | \(-0.128982\pi\) | |||||||
\(18\) | −5.66959 | + | 5.11388i | −1.33633 | + | 1.20535i | ||||
\(19\) | 1.45527 | + | 0.840200i | 0.333862 | + | 0.192755i | 0.657554 | − | 0.753407i | \(-0.271591\pi\) |
−0.323693 | + | 0.946162i | \(0.604924\pi\) | |||||||
\(20\) | −5.42066 | + | 8.41719i | −1.21210 | + | 1.88214i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.82308 | − | 2.82308i | 0.601883 | − | 0.601883i | ||||
\(23\) | −0.364506 | − | 1.36036i | −0.0760049 | − | 0.283654i | 0.917454 | − | 0.397841i | \(-0.130240\pi\) |
−0.993459 | + | 0.114187i | \(0.963574\pi\) | |||||||
\(24\) | −5.70190 | + | 9.31377i | −1.16390 | + | 1.90117i | ||||
\(25\) | 2.90798 | − | 4.06739i | 0.581597 | − | 0.813477i | ||||
\(26\) | 6.91613 | + | 3.99303i | 1.35637 | + | 0.783098i | ||||
\(27\) | 3.94676 | − | 3.37980i | 0.759555 | − | 0.650443i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 8.91955 | 1.65632 | 0.828159 | − | 0.560493i | \(-0.189388\pi\) | ||||
0.828159 | + | 0.560493i | \(0.189388\pi\) | |||||||
\(30\) | 5.54848 | − | 8.14705i | 1.01301 | − | 1.48744i | ||||
\(31\) | 1.37417 | + | 2.38013i | 0.246808 | + | 0.427484i | 0.962638 | − | 0.270790i | \(-0.0872850\pi\) |
−0.715830 | + | 0.698274i | \(0.753952\pi\) | |||||||
\(32\) | −1.40779 | + | 5.25396i | −0.248865 | + | 0.928777i | ||||
\(33\) | −1.97008 | + | 1.87117i | −0.342946 | + | 0.325728i | ||||
\(34\) | 12.9834i | 2.22664i | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 7.30576 | − | 11.2714i | 1.21763 | − | 1.87857i | ||||
\(37\) | 0.161183 | + | 0.601543i | 0.0264983 | + | 0.0988930i | 0.977909 | − | 0.209033i | \(-0.0670317\pi\) |
−0.951410 | + | 0.307926i | \(0.900365\pi\) | |||||||
\(38\) | −4.13100 | − | 1.10690i | −0.670136 | − | 0.179562i | ||||
\(39\) | −4.63529 | − | 2.83773i | −0.742241 | − | 0.454400i | ||||
\(40\) | 4.30546 | − | 13.4248i | 0.680752 | − | 2.12265i | ||||
\(41\) | − | 6.44292i | − | 1.00622i | −0.864224 | − | 0.503108i | \(-0.832190\pi\) | ||
0.864224 | − | 0.503108i | \(-0.167810\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.47734 | − | 5.47734i | −0.835286 | − | 0.835286i | 0.152948 | − | 0.988234i | \(-0.451123\pi\) |
−0.988234 | + | 0.152948i | \(0.951123\pi\) | |||||||
\(44\) | −3.51180 | + | 6.08262i | −0.529424 | + | 0.916989i | ||||
\(45\) | −3.91750 | + | 5.44547i | −0.583987 | + | 0.811763i | ||||
\(46\) | 1.79216 | + | 3.10412i | 0.264240 | + | 0.457677i | ||||
\(47\) | −5.04552 | + | 1.35194i | −0.735965 | + | 0.197201i | −0.607284 | − | 0.794485i | \(-0.707741\pi\) |
−0.128681 | + | 0.991686i | \(0.541074\pi\) | |||||||
\(48\) | 3.48356 | − | 11.7792i | 0.502808 | − | 1.70018i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −4.46958 | + | 11.9145i | −0.632095 | + | 1.68497i | ||||
\(51\) | 0.227443 | − | 8.83299i | 0.0318484 | − | 1.23687i | ||||
\(52\) | −13.5706 | − | 3.63622i | −1.88190 | − | 0.504253i | ||||
\(53\) | 3.87074 | + | 1.03716i | 0.531687 | + | 0.142465i | 0.514667 | − | 0.857390i | \(-0.327916\pi\) |
0.0170196 | + | 0.999855i | \(0.494582\pi\) | |||||||
\(54\) | −7.47618 | + | 10.9085i | −1.01738 | + | 1.48446i | ||||
\(55\) | 1.89921 | − | 2.94909i | 0.256089 | − | 0.397655i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 2.79104 | + | 0.825420i | 0.369683 | + | 0.109330i | ||||
\(58\) | −21.9273 | + | 5.87540i | −2.87919 | + | 0.771478i | ||||
\(59\) | −2.77436 | − | 4.80533i | −0.361191 | − | 0.625600i | 0.626967 | − | 0.779046i | \(-0.284296\pi\) |
−0.988157 | + | 0.153446i | \(0.950963\pi\) | |||||||
\(60\) | −5.71890 | + | 16.3705i | −0.738306 | + | 2.11342i | ||||
\(61\) | 3.70333 | − | 6.41435i | 0.474162 | − | 0.821273i | −0.525400 | − | 0.850855i | \(-0.676084\pi\) |
0.999562 | + | 0.0295820i | \(0.00941760\pi\) | |||||||
\(62\) | −4.94599 | − | 4.94599i | −0.628141 | − | 0.628141i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.340400i | 0.0425500i | ||||||||
\(65\) | 6.68129 | + | 2.14274i | 0.828713 | + | 0.265775i | ||||
\(66\) | 3.61056 | − | 5.89768i | 0.444429 | − | 0.725954i | ||||
\(67\) | 5.12587 | + | 1.37347i | 0.626225 | + | 0.167797i | 0.557956 | − | 0.829870i | \(-0.311586\pi\) |
0.0682690 | + | 0.997667i | \(0.478252\pi\) | |||||||
\(68\) | −5.91162 | − | 22.0625i | −0.716890 | − | 2.67547i | ||||
\(69\) | −1.16488 | − | 2.14321i | −0.140235 | − | 0.258012i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 3.61943i | − | 0.429548i | −0.976664 | − | 0.214774i | \(-0.931099\pi\) | ||
0.976664 | − | 0.214774i | \(-0.0689015\pi\) | |||||||
\(72\) | −5.82933 | + | 17.9943i | −0.686993 | + | 2.12064i | ||||
\(73\) | 2.15859 | − | 8.05596i | 0.252644 | − | 0.942878i | −0.716743 | − | 0.697338i | \(-0.754368\pi\) |
0.969386 | − | 0.245541i | \(-0.0789655\pi\) | |||||||
\(74\) | −0.792485 | − | 1.37262i | −0.0921245 | − | 0.159564i | ||||
\(75\) | 3.24950 | − | 8.02750i | 0.375220 | − | 0.926936i | ||||
\(76\) | 7.52372 | 0.863030 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 13.2644 | + | 3.92279i | 1.50189 | + | 0.444168i | ||||
\(79\) | 14.7720 | + | 8.52862i | 1.66198 | + | 0.959544i | 0.971769 | + | 0.235936i | \(0.0758156\pi\) |
0.690211 | + | 0.723608i | \(0.257518\pi\) | |||||||
\(80\) | −0.769530 | + | 15.8392i | −0.0860361 | + | 1.77088i | ||||
\(81\) | 5.27735 | − | 7.29037i | 0.586372 | − | 0.810042i | ||||
\(82\) | 4.24402 | + | 15.8389i | 0.468674 | + | 1.74911i | ||||
\(83\) | 3.21312 | − | 3.21312i | 0.352686 | − | 0.352686i | −0.508422 | − | 0.861108i | \(-0.669771\pi\) |
0.861108 | + | 0.508422i | \(0.169771\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.41421 | + | 11.1487i | 0.261858 | + | 1.20925i | ||||
\(86\) | 17.0731 | + | 9.85718i | 1.84104 | + | 1.06293i | ||||
\(87\) | 15.0207 | − | 3.61308i | 1.61039 | − | 0.387363i | ||||
\(88\) | 2.55988 | − | 9.55360i | 0.272884 | − | 1.01842i | ||||
\(89\) | 4.70137 | − | 8.14301i | 0.498344 | − | 0.863157i | −0.501654 | − | 0.865068i | \(-0.667275\pi\) |
0.999998 | + | 0.00191126i | \(0.000608372\pi\) | |||||||
\(90\) | 6.04357 | − | 15.9673i | 0.637048 | − | 1.68310i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −4.45876 | − | 4.45876i | −0.464858 | − | 0.464858i | ||||
\(93\) | 3.27825 | + | 3.45154i | 0.339939 | + | 0.357908i | ||||
\(94\) | 11.5131 | − | 6.64707i | 1.18748 | − | 0.685593i | ||||
\(95\) | −3.75306 | − | 0.182338i | −0.385056 | − | 0.0187075i | ||||
\(96\) | −0.242507 | + | 9.41801i | −0.0247508 | + | 0.961222i | ||||
\(97\) | −4.39640 | + | 4.39640i | −0.446386 | + | 0.446386i | −0.894151 | − | 0.447765i | \(-0.852220\pi\) |
0.447765 | + | 0.894151i | \(0.352220\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −2.55968 | + | 3.94911i | −0.257258 | + | 0.396900i | ||||
\(100\) | 2.17014 | − | 22.2812i | 0.217014 | − | 2.22812i | ||||
\(101\) | −0.875832 | + | 0.505662i | −0.0871485 | + | 0.0503152i | −0.542941 | − | 0.839771i | \(-0.682689\pi\) |
0.455792 | + | 0.890086i | \(0.349356\pi\) | |||||||
\(102\) | 5.25925 | + | 21.8643i | 0.520743 | + | 2.16489i | ||||
\(103\) | −5.50588 | + | 1.47530i | −0.542511 | + | 0.145365i | −0.519659 | − | 0.854374i | \(-0.673941\pi\) |
−0.0228513 | + | 0.999739i | \(0.507274\pi\) | |||||||
\(104\) | 19.7842 | 1.94000 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −10.1988 | −0.990593 | ||||||||
\(107\) | 3.84892 | − | 1.03131i | 0.372089 | − | 0.0997009i | −0.0679285 | − | 0.997690i | \(-0.521639\pi\) |
0.440017 | + | 0.897989i | \(0.354972\pi\) | |||||||
\(108\) | 7.73728 | − | 21.9406i | 0.744520 | − | 2.11124i | ||||
\(109\) | 5.56202 | − | 3.21123i | 0.532744 | − | 0.307580i | −0.209389 | − | 0.977832i | \(-0.567147\pi\) |
0.742133 | + | 0.670252i | \(0.233814\pi\) | |||||||
\(110\) | −2.72630 | + | 8.50089i | −0.259943 | + | 0.810528i | ||||
\(111\) | 0.515104 | + | 0.947718i | 0.0488915 | + | 0.0899534i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −3.29246 | + | 3.29246i | −0.309729 | + | 0.309729i | −0.844804 | − | 0.535075i | \(-0.820283\pi\) |
0.535075 | + | 0.844804i | \(0.320283\pi\) | |||||||
\(114\) | −7.40505 | − | 0.190675i | −0.693546 | − | 0.0178583i | ||||
\(115\) | 2.11611 | + | 2.33222i | 0.197328 | + | 0.217481i | ||||
\(116\) | 34.5854 | − | 19.9679i | 3.21118 | − | 1.85397i | ||||
\(117\) | −8.95540 | − | 2.90115i | −0.827927 | − | 0.268211i | ||||
\(118\) | 9.98563 | + | 9.98563i | 0.919252 | + | 0.919252i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 1.81241 | − | 24.3517i | 0.165449 | − | 2.22300i | ||||
\(121\) | −4.26959 | + | 7.39514i | −0.388144 | + | 0.672286i | ||||
\(122\) | −4.87884 | + | 18.2081i | −0.441709 | + | 1.64848i | ||||
\(123\) | −2.60986 | − | 10.8500i | −0.235323 | − | 0.978311i | ||||
\(124\) | 10.6566 | + | 6.15262i | 0.956995 | + | 0.552521i | ||||
\(125\) | −1.62252 | + | 11.0620i | −0.145123 | + | 0.989414i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 14.2818 | − | 14.2818i | 1.26730 | − | 1.26730i | 0.319826 | − | 0.947476i | \(-0.396376\pi\) |
0.947476 | − | 0.319826i | \(-0.103624\pi\) | |||||||
\(128\) | −3.03981 | − | 11.3447i | −0.268684 | − | 1.00274i | ||||
\(129\) | −11.4427 | − | 7.00520i | −1.00747 | − | 0.616774i | ||||
\(130\) | −17.8363 | − | 0.866558i | −1.56435 | − | 0.0760022i | ||||
\(131\) | −4.24118 | − | 2.44864i | −0.370553 | − | 0.213939i | 0.303147 | − | 0.952944i | \(-0.401963\pi\) |
−0.673700 | + | 0.739005i | \(0.735296\pi\) | |||||||
\(132\) | −3.45002 | + | 11.6658i | −0.300286 | + | 1.01538i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −13.5059 | −1.16673 | ||||||||
\(135\) | −4.39133 | + | 10.7571i | −0.377945 | + | 0.925828i | ||||
\(136\) | 16.0821 | + | 27.8551i | 1.37903 | + | 2.38856i | ||||
\(137\) | 1.66864 | − | 6.22744i | 0.142561 | − | 0.532046i | −0.857290 | − | 0.514833i | \(-0.827854\pi\) |
0.999852 | − | 0.0172133i | \(-0.00547943\pi\) | |||||||
\(138\) | 4.27543 | + | 4.50143i | 0.363949 | + | 0.383187i | ||||
\(139\) | − | 10.2045i | − | 0.865536i | −0.901505 | − | 0.432768i | \(-0.857537\pi\) | ||
0.901505 | − | 0.432768i | \(-0.142463\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −7.94911 | + | 4.32050i | −0.669435 | + | 0.363852i | ||||
\(142\) | 2.38416 | + | 8.89780i | 0.200074 | + | 0.746687i | ||||
\(143\) | 4.75465 | + | 1.27400i | 0.397604 | + | 0.106538i | ||||
\(144\) | 1.09494 | − | 21.2474i | 0.0912449 | − | 1.77062i | ||||
\(145\) | −17.7362 | + | 9.12243i | −1.47291 | + | 0.757576i | ||||
\(146\) | 21.2262i | 1.75669i | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.97164 | + | 1.97164i | 0.162068 | + | 0.162068i | ||||
\(149\) | −0.461562 | + | 0.799449i | −0.0378126 | + | 0.0654934i | −0.884312 | − | 0.466896i | \(-0.845372\pi\) |
0.846500 | + | 0.532389i | \(0.178706\pi\) | |||||||
\(150\) | −2.70059 | + | 21.8748i | −0.220502 | + | 1.78607i | ||||
\(151\) | 6.86549 | + | 11.8914i | 0.558705 | + | 0.967706i | 0.997605 | + | 0.0691699i | \(0.0220350\pi\) |
−0.438900 | + | 0.898536i | \(0.644632\pi\) | |||||||
\(152\) | −10.2339 | + | 2.74216i | −0.830077 | + | 0.222418i | ||||
\(153\) | −3.19499 | − | 14.9670i | −0.258300 | − | 1.21001i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −5.16675 | − | 3.32738i | −0.415004 | − | 0.267262i | ||||
\(156\) | −24.3260 | − | 0.626378i | −1.94764 | − | 0.0501504i | ||||
\(157\) | −18.7434 | − | 5.02228i | −1.49589 | − | 0.400822i | −0.584166 | − | 0.811634i | \(-0.698578\pi\) |
−0.911720 | + | 0.410812i | \(0.865245\pi\) | |||||||
\(158\) | −41.9325 | − | 11.2358i | −3.33597 | − | 0.893870i | ||||
\(159\) | 6.93851 | + | 0.178662i | 0.550260 | + | 0.0141688i | ||||
\(160\) | −2.57411 | − | 11.8871i | −0.203501 | − | 0.939759i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −8.17128 | + | 21.3985i | −0.641997 | + | 1.68122i | ||||
\(163\) | −9.02349 | + | 2.41784i | −0.706775 | + | 0.189380i | −0.594263 | − | 0.804271i | \(-0.702556\pi\) |
−0.112512 | + | 0.993650i | \(0.535890\pi\) | |||||||
\(164\) | −14.4236 | − | 24.9823i | −1.12629 | − | 1.95079i | ||||
\(165\) | 2.00370 | − | 5.73564i | 0.155988 | − | 0.446519i | ||||
\(166\) | −5.78243 | + | 10.0155i | −0.448804 | + | 0.777350i | ||||
\(167\) | −3.11442 | − | 3.11442i | −0.241001 | − | 0.241001i | 0.576263 | − | 0.817264i | \(-0.304510\pi\) |
−0.817264 | + | 0.576263i | \(0.804510\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 3.15379i | − | 0.242599i | ||||||
\(170\) | −13.2787 | − | 25.8171i | −1.01843 | − | 1.98008i | ||||
\(171\) | 5.03452 | + | 0.259443i | 0.385000 | + | 0.0198401i | ||||
\(172\) | −33.5002 | − | 8.97636i | −2.55437 | − | 0.684441i | ||||
\(173\) | 2.97531 | + | 11.1040i | 0.226209 | + | 0.844222i | 0.981917 | + | 0.189313i | \(0.0606262\pi\) |
−0.755708 | + | 0.654909i | \(0.772707\pi\) | |||||||
\(174\) | −34.5460 | + | 18.7764i | −2.61892 | + | 1.42344i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 11.1250i | 0.838580i | ||||||||
\(177\) | −6.61858 | − | 6.96844i | −0.497483 | − | 0.523780i | ||||
\(178\) | −6.19368 | + | 23.1151i | −0.464236 | + | 1.73255i | ||||
\(179\) | 8.29901 | + | 14.3743i | 0.620297 | + | 1.07439i | 0.989430 | + | 0.145010i | \(0.0463213\pi\) |
−0.369133 | + | 0.929377i | \(0.620345\pi\) | |||||||
\(180\) | −2.99947 | + | 29.8847i | −0.223567 | + | 2.22748i | ||||
\(181\) | −11.6532 | −0.866174 | −0.433087 | − | 0.901352i | \(-0.642576\pi\) | ||||
−0.433087 | + | 0.901352i | \(0.642576\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 3.63818 | − | 12.3020i | 0.268942 | − | 0.909390i | ||||
\(184\) | 7.68994 | + | 4.43979i | 0.566910 | + | 0.327306i | ||||
\(185\) | −0.935732 | − | 1.03130i | −0.0687964 | − | 0.0758225i | ||||
\(186\) | −10.3326 | − | 6.32564i | −0.757625 | − | 0.463819i | ||||
\(187\) | 2.07123 | + | 7.72992i | 0.151463 | + | 0.565268i | ||||
\(188\) | −16.5374 | + | 16.5374i | −1.20611 | + | 1.20611i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 9.34642 | − | 2.02393i | 0.678060 | − | 0.146831i | ||||
\(191\) | −11.1322 | − | 6.42717i | −0.805497 | − | 0.465054i | 0.0398927 | − | 0.999204i | \(-0.487298\pi\) |
−0.845390 | + | 0.534150i | \(0.820632\pi\) | |||||||
\(192\) | 0.137887 | + | 0.573240i | 0.00995116 | + | 0.0413700i | ||||
\(193\) | −2.95074 | + | 11.0123i | −0.212399 | + | 0.792684i | 0.774667 | + | 0.632370i | \(0.217918\pi\) |
−0.987066 | + | 0.160315i | \(0.948749\pi\) | |||||||
\(194\) | 7.91189 | − | 13.7038i | 0.568040 | − | 0.983875i | ||||
\(195\) | 12.1194 | + | 0.902001i | 0.867887 | + | 0.0645936i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 18.7512 | + | 18.7512i | 1.33597 | + | 1.33597i | 0.899929 | + | 0.436036i | \(0.143618\pi\) |
0.436036 | + | 0.899929i | \(0.356382\pi\) | |||||||
\(198\) | 3.69125 | − | 11.3943i | 0.262326 | − | 0.809760i | ||||
\(199\) | −3.64362 | + | 2.10364i | −0.258289 | + | 0.149123i | −0.623554 | − | 0.781780i | \(-0.714312\pi\) |
0.365265 | + | 0.930904i | \(0.380978\pi\) | |||||||
\(200\) | 5.16895 | + | 31.0982i | 0.365500 | + | 2.19898i | ||||
\(201\) | 9.18842 | + | 0.236595i | 0.648101 | + | 0.0166882i | ||||
\(202\) | 1.82001 | − | 1.82001i | 0.128055 | − | 0.128055i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −18.8922 | − | 34.7590i | −1.32272 | − | 2.43361i | ||||
\(205\) | 6.58947 | + | 12.8115i | 0.460229 | + | 0.894796i | ||||
\(206\) | 12.5635 | − | 7.25356i | 0.875343 | − | 0.505380i | ||||
\(207\) | −2.82984 | − | 3.13734i | −0.196687 | − | 0.218061i | ||||
\(208\) | −21.4951 | + | 5.75959i | −1.49042 | + | 0.399356i | ||||
\(209\) | −2.63605 | −0.182339 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −21.5211 | −1.48158 | −0.740788 | − | 0.671739i | \(-0.765548\pi\) | ||||
−0.740788 | + | 0.671739i | \(0.765548\pi\) | |||||||
\(212\) | 17.3306 | − | 4.64372i | 1.19027 | − | 0.318932i | ||||
\(213\) | −1.46614 | − | 6.09519i | −0.100458 | − | 0.417636i | ||||
\(214\) | −8.78261 | + | 5.07064i | −0.600367 | + | 0.346622i | ||||
\(215\) | 16.4934 | + | 5.28957i | 1.12484 | + | 0.360746i | ||||
\(216\) | −2.52769 | + | 32.6639i | −0.171988 | + | 2.22250i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −11.5581 | + | 11.5581i | −0.782810 | + | 0.782810i | ||||
\(219\) | 0.371840 | − | 14.4408i | 0.0251266 | − | 0.975816i | ||||
\(220\) | 0.762123 | − | 15.6868i | 0.0513823 | − | 1.05760i | ||||
\(221\) | −13.8630 | + | 8.00378i | −0.932524 | + | 0.538393i | ||||
\(222\) | −1.89057 | − | 1.99051i | −0.126887 | − | 0.133594i | ||||
\(223\) | −12.4001 | − | 12.4001i | −0.830375 | − | 0.830375i | 0.157193 | − | 0.987568i | \(-0.449756\pi\) |
−0.987568 | + | 0.157193i | \(0.949756\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 2.22049 | − | 14.8347i | 0.148033 | − | 0.988982i | ||||
\(226\) | 5.92522 | − | 10.2628i | 0.394139 | − | 0.682670i | ||||
\(227\) | −3.18646 | + | 11.8920i | −0.211493 | + | 0.789301i | 0.775879 | + | 0.630881i | \(0.217307\pi\) |
−0.987372 | + | 0.158420i | \(0.949360\pi\) | |||||||
\(228\) | 12.6701 | − | 3.04766i | 0.839096 | − | 0.201836i | ||||
\(229\) | 3.86544 | + | 2.23171i | 0.255435 | + | 0.147476i | 0.622251 | − | 0.782818i | \(-0.286219\pi\) |
−0.366815 | + | 0.930294i | \(0.619552\pi\) | |||||||
\(230\) | −6.73837 | − | 4.33950i | −0.444315 | − | 0.286138i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −39.7659 | + | 39.7659i | −2.61076 | + | 2.61076i | ||||
\(233\) | 2.06497 | + | 7.70659i | 0.135281 | + | 0.504875i | 0.999997 | + | 0.00261362i | \(0.000831942\pi\) |
−0.864716 | + | 0.502262i | \(0.832501\pi\) | |||||||
\(234\) | 23.9264 | + | 1.23300i | 1.56412 | + | 0.0806035i | ||||
\(235\) | 8.65014 | − | 7.84857i | 0.564273 | − | 0.511984i | ||||
\(236\) | −21.5151 | − | 12.4217i | −1.40051 | − | 0.808586i | ||||
\(237\) | 28.3310 | + | 8.37859i | 1.84030 | + | 0.544248i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −11.8594 | −0.767124 | −0.383562 | − | 0.923515i | \(-0.625303\pi\) | ||||
−0.383562 | + | 0.923515i | \(0.625303\pi\) | |||||||
\(240\) | 5.12015 | + | 26.9852i | 0.330505 | + | 1.74189i | ||||
\(241\) | −9.03617 | − | 15.6511i | −0.582071 | − | 1.00818i | −0.995234 | − | 0.0975190i | \(-0.968909\pi\) |
0.413163 | − | 0.910657i | \(-0.364424\pi\) | |||||||
\(242\) | 5.62484 | − | 20.9922i | 0.361579 | − | 1.34943i | ||||
\(243\) | 5.93401 | − | 14.4148i | 0.380667 | − | 0.924712i | ||||
\(244\) | − | 33.1621i | − | 2.12298i | ||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 13.5629 | + | 24.9538i | 0.864741 | + | 1.59100i | ||||
\(247\) | −1.36472 | − | 5.09321i | −0.0868351 | − | 0.324073i | ||||
\(248\) | −16.7378 | − | 4.48487i | −1.06285 | − | 0.284789i | ||||
\(249\) | 4.10940 | − | 6.71250i | 0.260423 | − | 0.425388i | ||||
\(250\) | −3.29793 | − | 28.2629i | −0.208579 | − | 1.78750i | ||||
\(251\) | 3.19253i | 0.201511i | 0.994911 | + | 0.100755i | \(0.0321259\pi\) | ||||
−0.994911 | + | 0.100755i | \(0.967874\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.56219 | + | 1.56219i | 0.0982141 | + | 0.0982141i | ||||
\(254\) | −25.7019 | + | 44.5170i | −1.61268 | + | 2.79324i | ||||
\(255\) | 8.58163 | + | 17.7967i | 0.537403 | + | 1.11447i | ||||
\(256\) | 14.6054 | + | 25.2973i | 0.912836 | + | 1.58108i | ||||
\(257\) | −16.1352 | + | 4.32342i | −1.00649 | + | 0.269687i | −0.724161 | − | 0.689631i | \(-0.757773\pi\) |
−0.282326 | + | 0.959319i | \(0.591106\pi\) | |||||||
\(258\) | 32.7443 | + | 9.68378i | 2.03857 | + | 0.602886i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 30.7035 | − | 6.64874i | 1.90415 | − | 0.412337i | ||||
\(261\) | 23.8315 | − | 12.1690i | 1.47513 | − | 0.753240i | ||||
\(262\) | 12.0392 | + | 3.22589i | 0.743784 | + | 0.199296i | ||||
\(263\) | 17.9635 | + | 4.81330i | 1.10768 | + | 0.296801i | 0.765886 | − | 0.642976i | \(-0.222301\pi\) |
0.341789 | + | 0.939777i | \(0.388967\pi\) | |||||||
\(264\) | 0.440967 | − | 17.1254i | 0.0271396 | − | 1.05399i | ||||
\(265\) | −8.75757 | + | 1.89642i | −0.537974 | + | 0.116496i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 4.61866 | − | 15.6174i | 0.282658 | − | 0.955767i | ||||
\(268\) | 22.9503 | − | 6.14950i | 1.40191 | − | 0.375641i | ||||
\(269\) | 14.6703 | + | 25.4096i | 0.894461 | + | 1.54925i | 0.834470 | + | 0.551053i | \(0.185774\pi\) |
0.0599909 | + | 0.998199i | \(0.480893\pi\) | |||||||
\(270\) | 3.70953 | − | 29.3373i | 0.225755 | − | 1.78541i | ||||
\(271\) | 1.59183 | − | 2.75713i | 0.0966968 | − | 0.167484i | −0.813619 | − | 0.581399i | \(-0.802506\pi\) |
0.910316 | + | 0.413915i | \(0.135839\pi\) | |||||||
\(272\) | −25.5821 | − | 25.5821i | −1.55114 | − | 1.55114i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 16.4083i | 0.991263i | ||||||||
\(275\) | −0.760341 | + | 7.80657i | −0.0458503 | + | 0.470754i | ||||
\(276\) | −9.31475 | − | 5.70250i | −0.560682 | − | 0.343250i | ||||
\(277\) | −23.0361 | − | 6.17251i | −1.38411 | − | 0.370870i | −0.511495 | − | 0.859286i | \(-0.670908\pi\) |
−0.872611 | + | 0.488416i | \(0.837575\pi\) | |||||||
\(278\) | 6.72182 | + | 25.0862i | 0.403148 | + | 1.50457i | ||||
\(279\) | 6.91877 | + | 4.48452i | 0.414216 | + | 0.268481i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 24.8052i | − | 1.47975i | −0.672742 | − | 0.739877i | \(-0.734884\pi\) | ||
0.672742 | − | 0.739877i | \(-0.265116\pi\) | |||||||
\(282\) | 16.6956 | − | 15.8574i | 0.994211 | − | 0.944296i | ||||
\(283\) | −1.98356 | + | 7.40274i | −0.117910 | + | 0.440047i | −0.999488 | − | 0.0319914i | \(-0.989815\pi\) |
0.881578 | + | 0.472039i | \(0.156482\pi\) | |||||||
\(284\) | −8.10271 | − | 14.0343i | −0.480807 | − | 0.832783i | ||||
\(285\) | −6.39409 | + | 1.21321i | −0.378753 | + | 0.0718642i | ||||
\(286\) | −12.5277 | −0.740781 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 3.40661 | + | 15.9583i | 0.200736 | + | 0.940354i | ||||
\(289\) | −7.81541 | − | 4.51223i | −0.459730 | − | 0.265425i | ||||
\(290\) | 37.5926 | − | 34.1091i | 2.20751 | − | 2.00295i | ||||
\(291\) | −5.62274 | + | 9.18447i | −0.329611 | + | 0.538403i | ||||
\(292\) | −9.66472 | − | 36.0692i | −0.565585 | − | 2.11079i | ||||
\(293\) | 8.60739 | − | 8.60739i | 0.502849 | − | 0.502849i | −0.409473 | − | 0.912322i | \(-0.634288\pi\) |
0.912322 | + | 0.409473i | \(0.134288\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 10.4313 | + | 6.71776i | 0.607336 | + | 0.391123i | ||||
\(296\) | −3.40045 | − | 1.96325i | −0.197647 | − | 0.114112i | ||||
\(297\) | −2.71087 | + | 7.68722i | −0.157301 | + | 0.446058i | ||||
\(298\) | 0.608072 | − | 2.26935i | 0.0352246 | − | 0.131460i | ||||
\(299\) | −2.20960 | + | 3.82714i | −0.127784 | + | 0.221329i | ||||
\(300\) | −5.37100 | − | 38.4011i | −0.310095 | − | 2.21709i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −24.7107 | − | 24.7107i | −1.42194 | − | 1.42194i | ||||
\(303\) | −1.27009 | + | 1.20632i | −0.0729645 | + | 0.0693013i | ||||
\(304\) | 10.3206 | − | 5.95859i | 0.591926 | − | 0.341749i | ||||
\(305\) | −0.803687 | + | 16.5423i | −0.0460190 | + | 0.947208i | ||||
\(306\) | 17.7133 | + | 34.6895i | 1.01260 | + | 1.98307i | ||||
\(307\) | 11.8525 | − | 11.8525i | 0.676457 | − | 0.676457i | −0.282740 | − | 0.959197i | \(-0.591243\pi\) |
0.959197 | + | 0.282740i | \(0.0912434\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −8.67440 | + | 4.71471i | −0.493469 | + | 0.268211i | ||||
\(310\) | 14.8934 | + | 4.77644i | 0.845889 | + | 0.271283i | ||||
\(311\) | −25.3572 | + | 14.6400i | −1.43788 | + | 0.830158i | −0.997702 | − | 0.0677541i | \(-0.978417\pi\) |
−0.440174 | + | 0.897912i | \(0.645083\pi\) | |||||||
\(312\) | 33.3169 | − | 8.01405i | 1.88620 | − | 0.453706i | ||||
\(313\) | 1.67444 | − | 0.448664i | 0.0946448 | − | 0.0253600i | −0.211186 | − | 0.977446i | \(-0.567733\pi\) |
0.305831 | + | 0.952086i | \(0.401066\pi\) | |||||||
\(314\) | 49.3859 | 2.78701 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 76.3710 | 4.29620 | ||||||||
\(317\) | −5.87608 | + | 1.57449i | −0.330034 | + | 0.0884322i | −0.420031 | − | 0.907510i | \(-0.637981\pi\) |
0.0899974 | + | 0.995942i | \(0.471314\pi\) | |||||||
\(318\) | −17.1749 | + | 4.13126i | −0.963122 | + | 0.231670i | ||||
\(319\) | −12.1175 | + | 6.99605i | −0.678451 | + | 0.391704i | ||||
\(320\) | −0.348143 | − | 0.676874i | −0.0194618 | − | 0.0378384i | ||||
\(321\) | 6.06388 | − | 3.29585i | 0.338453 | − | 0.183956i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 6.06162 | − | 6.06162i | 0.337278 | − | 0.337278i | ||||
\(324\) | 4.14213 | − | 40.0826i | 0.230119 | − | 2.22681i | ||||
\(325\) | −15.4770 | + | 2.57249i | −0.858510 | + | 0.142696i | ||||
\(326\) | 20.5902 | − | 11.8877i | 1.14038 | − | 0.658401i | ||||
\(327\) | 8.06575 | − | 7.66080i | 0.446037 | − | 0.423643i | ||||
\(328\) | 28.7244 | + | 28.7244i | 1.58604 | + | 1.58604i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −1.14765 | + | 15.4200i | −0.0631763 | + | 0.848843i | ||||
\(331\) | −16.6301 | + | 28.8042i | −0.914074 | + | 1.58322i | −0.105822 | + | 0.994385i | \(0.533747\pi\) |
−0.808252 | + | 0.588837i | \(0.799586\pi\) | |||||||
\(332\) | 5.26572 | − | 19.6519i | 0.288994 | − | 1.07854i | ||||
\(333\) | 1.25134 | + | 1.38732i | 0.0685730 | + | 0.0760245i | ||||
\(334\) | 9.70781 | + | 5.60481i | 0.531188 | + | 0.306681i | ||||
\(335\) | −11.5973 | + | 2.51136i | −0.633630 | + | 0.137210i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 10.3056 | − | 10.3056i | 0.561383 | − | 0.561383i | −0.368317 | − | 0.929700i | \(-0.620066\pi\) |
0.929700 | + | 0.368317i | \(0.120066\pi\) | |||||||
\(338\) | 2.07743 | + | 7.75309i | 0.112997 | + | 0.421712i | ||||
\(339\) | −4.21087 | + | 6.87826i | −0.228703 | + | 0.373576i | ||||
\(340\) | 34.3194 | + | 37.8244i | 1.86123 | + | 2.05131i | ||||
\(341\) | −3.73371 | − | 2.15566i | −0.202192 | − | 0.116736i | ||||
\(342\) | −12.5475 | + | 2.67849i | −0.678489 | + | 0.144836i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 48.8391 | 2.63323 | ||||||||
\(345\) | 4.50828 | + | 3.07033i | 0.242718 | + | 0.165301i | ||||
\(346\) | −14.6286 | − | 25.3376i | −0.786441 | − | 1.36216i | ||||
\(347\) | −7.03650 | + | 26.2606i | −0.377739 | + | 1.40974i | 0.471562 | + | 0.881833i | \(0.343691\pi\) |
−0.849301 | + | 0.527909i | \(0.822976\pi\) | |||||||
\(348\) | 50.1540 | − | 47.6360i | 2.68854 | − | 2.55356i | ||||
\(349\) | 30.1301i | 1.61283i | 0.591353 | + | 0.806413i | \(0.298594\pi\) | ||||
−0.591353 | + | 0.806413i | \(0.701406\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −16.2562 | − | 1.25799i | −0.867694 | − | 0.0671463i | ||||
\(352\) | −2.20841 | − | 8.24189i | −0.117708 | − | 0.439294i | ||||
\(353\) | 23.2688 | + | 6.23486i | 1.23847 | + | 0.331848i | 0.817873 | − | 0.575398i | \(-0.195153\pi\) |
0.420600 | + | 0.907246i | \(0.361820\pi\) | |||||||
\(354\) | 20.8609 | + | 12.7711i | 1.10874 | + | 0.678774i | ||||
\(355\) | 3.70176 | + | 7.19712i | 0.196469 | + | 0.381983i | ||||
\(356\) | − | 42.0992i | − | 2.23125i | ||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −29.8703 | − | 29.8703i | −1.57869 | − | 1.57869i | ||||
\(359\) | 0.368991 | − | 0.639111i | 0.0194746 | − | 0.0337310i | −0.856124 | − | 0.516771i | \(-0.827134\pi\) |
0.875598 | + | 0.483040i | \(0.160467\pi\) | |||||||
\(360\) | −6.81212 | − | 41.7429i | −0.359030 | − | 2.20004i | ||||
\(361\) | −8.08813 | − | 14.0090i | −0.425691 | − | 0.737318i | ||||
\(362\) | 28.6475 | − | 7.67607i | 1.50568 | − | 0.403445i | ||||
\(363\) | −4.19448 | + | 14.1831i | −0.220153 | + | 0.744417i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 3.94692 | + | 18.2267i | 0.206591 | + | 0.954028i | ||||
\(366\) | −0.840432 | + | 32.6390i | −0.0439301 | + | 1.70607i | ||||
\(367\) | 31.8179 | + | 8.52557i | 1.66088 | + | 0.445031i | 0.962629 | − | 0.270822i | \(-0.0872956\pi\) |
0.698250 | + | 0.715854i | \(0.253962\pi\) | |||||||
\(368\) | −9.64747 | − | 2.58503i | −0.502909 | − | 0.134754i | ||||
\(369\) | −8.79010 | − | 17.2144i | −0.457594 | − | 0.896146i | ||||
\(370\) | 2.97967 | + | 1.91890i | 0.154906 | + | 0.0997591i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 20.4382 | + | 6.04438i | 1.05967 | + | 0.313387i | ||||
\(373\) | 7.21411 | − | 1.93302i | 0.373533 | − | 0.100088i | −0.0671685 | − | 0.997742i | \(-0.521397\pi\) |
0.440701 | + | 0.897654i | \(0.354730\pi\) | |||||||
\(374\) | −10.1836 | − | 17.6384i | −0.526579 | − | 0.912062i | ||||
\(375\) | 1.74857 | + | 19.2858i | 0.0902956 | + | 0.995915i | ||||
\(376\) | 16.4670 | − | 28.5217i | 0.849222 | − | 1.47090i | ||||
\(377\) | −19.7908 | − | 19.7908i | −1.01928 | − | 1.01928i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 3.38353i | − | 0.173800i | −0.996217 | − | 0.0869000i | \(-0.972304\pi\) | ||
0.996217 | − | 0.0869000i | \(-0.0276961\pi\) | |||||||
\(380\) | −14.9607 | + | 7.69485i | −0.767465 | + | 0.394738i | ||||
\(381\) | 18.2656 | − | 29.8359i | 0.935774 | − | 1.52854i | ||||
\(382\) | 31.6004 | + | 8.46729i | 1.61681 | + | 0.433224i | ||||
\(383\) | 1.04955 | + | 3.91696i | 0.0536293 | + | 0.200147i | 0.987542 | − | 0.157353i | \(-0.0502959\pi\) |
−0.933913 | + | 0.357500i | \(0.883629\pi\) | |||||||
\(384\) | −9.71455 | − | 17.8734i | −0.495744 | − | 0.912097i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 29.0157i | − | 1.47686i | ||||||
\(387\) | −22.1073 | − | 7.16176i | −1.12378 | − | 0.364053i | ||||
\(388\) | −7.20490 | + | 26.8890i | −0.365773 | + | 1.36508i | ||||
\(389\) | −5.10508 | − | 8.84225i | −0.258838 | − | 0.448320i | 0.707093 | − | 0.707120i | \(-0.250006\pi\) |
−0.965931 | + | 0.258800i | \(0.916673\pi\) | |||||||
\(390\) | −30.3877 | + | 5.76574i | −1.53874 | + | 0.291960i | ||||
\(391\) | −7.18455 | −0.363339 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −8.13410 | − | 2.40557i | −0.410311 | − | 0.121345i | ||||
\(394\) | −58.4483 | − | 33.7452i | −2.94458 | − | 1.70006i | ||||
\(395\) | −38.0962 | − | 1.85086i | −1.91683 | − | 0.0931269i | ||||
\(396\) | −1.08440 | + | 21.0429i | −0.0544931 | + | 1.05744i | ||||
\(397\) | 8.80417 | + | 32.8576i | 0.441869 | + | 1.64908i | 0.724074 | + | 0.689723i | \(0.242268\pi\) |
−0.282205 | + | 0.959354i | \(0.591066\pi\) | |||||||
\(398\) | 7.57156 | − | 7.57156i | 0.379528 | − | 0.379528i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −14.6693 | − | 32.2828i | −0.733465 | − | 1.61414i | ||||
\(401\) | −17.3995 | − | 10.0456i | −0.868891 | − | 0.501654i | −0.00191140 | − | 0.999998i | \(-0.500608\pi\) |
−0.866980 | + | 0.498344i | \(0.833942\pi\) | |||||||
\(402\) | −22.7441 | + | 5.47087i | −1.13437 | + | 0.272862i | ||||
\(403\) | 2.23203 | − | 8.33007i | 0.111186 | − | 0.414950i | ||||
\(404\) | −2.26402 | + | 3.92139i | −0.112639 | + | 0.195097i | ||||
\(405\) | −3.03763 | + | 19.8940i | −0.150941 | + | 0.988543i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −0.690793 | − | 0.690793i | −0.0342413 | − | 0.0342413i | ||||
\(408\) | 38.3660 | + | 40.3940i | 1.89940 | + | 1.99980i | ||||
\(409\) | −29.0207 | + | 16.7551i | −1.43498 | + | 0.828487i | −0.997495 | − | 0.0707377i | \(-0.977465\pi\) |
−0.437487 | + | 0.899225i | \(0.644131\pi\) | |||||||
\(410\) | −24.6382 | − | 27.1545i | −1.21680 | − | 1.34107i | ||||
\(411\) | 0.287441 | − | 11.1630i | 0.0141784 | − | 0.550632i | ||||
\(412\) | −18.0463 | + | 18.0463i | −0.889077 | + | 0.889077i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 9.02331 | + | 5.84862i | 0.443471 | + | 0.287444i | ||||
\(415\) | −3.10297 | + | 9.67538i | −0.152319 | + | 0.474946i | ||||
\(416\) | 14.7811 | − | 8.53389i | 0.724705 | − | 0.418408i | ||||
\(417\) | −4.13359 | − | 17.1846i | −0.202423 | − | 0.841533i | ||||
\(418\) | 6.48030 | − | 1.73639i | 0.316962 | − | 0.0849297i | ||||
\(419\) | 25.8773 | 1.26419 | 0.632093 | − | 0.774892i | \(-0.282196\pi\) | ||||
0.632093 | + | 0.774892i | \(0.282196\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 10.4030 | 0.507013 | 0.253507 | − | 0.967334i | \(-0.418416\pi\) | ||||
0.253507 | + | 0.967334i | \(0.418416\pi\) | |||||||
\(422\) | 52.9063 | − | 14.1762i | 2.57544 | − | 0.690086i | ||||
\(423\) | −11.6363 | + | 10.4958i | −0.565777 | + | 0.510322i | ||||
\(424\) | −21.8808 | + | 12.6329i | −1.06263 | + | 0.613508i | ||||
\(425\) | −16.2029 | − | 19.6997i | −0.785955 | − | 0.955576i | ||||
\(426\) | 7.61923 | + | 14.0183i | 0.369153 | + | 0.679188i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 12.6154 | − | 12.6154i | 0.609786 | − | 0.609786i | ||||
\(429\) | 8.52298 | + | 0.219461i | 0.411493 | + | 0.0105957i | ||||
\(430\) | −44.0307 | − | 2.13918i | −2.12335 | − | 0.103160i | ||||
\(431\) | −0.388850 | + | 0.224503i | −0.0187303 | + | 0.0108139i | −0.509336 | − | 0.860568i | \(-0.670109\pi\) |
0.490606 | + | 0.871382i | \(0.336776\pi\) | |||||||
\(432\) | −6.76288 | − | 36.2245i | −0.325379 | − | 1.74285i | ||||
\(433\) | 17.7813 | + | 17.7813i | 0.854517 | + | 0.854517i | 0.990686 | − | 0.136169i | \(-0.0434790\pi\) |
−0.136169 | + | 0.990686i | \(0.543479\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −26.1728 | + | 22.5468i | −1.25489 | + | 1.08104i | ||||
\(436\) | 14.3778 | − | 24.9030i | 0.688570 | − | 1.19264i | ||||
\(437\) | 0.612517 | − | 2.28594i | 0.0293007 | − | 0.109352i | ||||
\(438\) | 8.59817 | + | 35.7452i | 0.410836 | + | 1.70797i | ||||
\(439\) | −25.5732 | − | 14.7647i | −1.22054 | − | 0.704679i | −0.255507 | − | 0.966807i | \(-0.582243\pi\) |
−0.965033 | + | 0.262128i | \(0.915576\pi\) | |||||||
\(440\) | 4.68067 | + | 21.6151i | 0.223142 | + | 1.03046i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 28.8077 | − | 28.8077i | 1.37024 | − | 1.37024i | ||||
\(443\) | 5.69694 | + | 21.2613i | 0.270670 | + | 1.01015i | 0.958688 | + | 0.284460i | \(0.0918141\pi\) |
−0.688018 | + | 0.725693i | \(0.741519\pi\) | |||||||
\(444\) | 4.11894 | + | 2.52162i | 0.195476 | + | 0.119671i | ||||
\(445\) | −1.02028 | + | 21.0004i | −0.0483659 | + | 0.995514i | ||||
\(446\) | 38.6519 | + | 22.3157i | 1.83022 | + | 1.05668i | ||||
\(447\) | −0.453443 | + | 1.53325i | −0.0214471 | + | 0.0725204i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −16.3214 | −0.770252 | −0.385126 | − | 0.922864i | \(-0.625842\pi\) | ||||
−0.385126 | + | 0.922864i | \(0.625842\pi\) | |||||||
\(450\) | 4.31308 | + | 37.9315i | 0.203320 | + | 1.78811i | ||||
\(451\) | 5.05351 | + | 8.75294i | 0.237961 | + | 0.412160i | ||||
\(452\) | −5.39575 | + | 20.1372i | −0.253795 | + | 0.947175i | ||||
\(453\) | 16.3785 | + | 17.2442i | 0.769528 | + | 0.810205i | ||||
\(454\) | − | 31.3336i | − | 1.47056i | ||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −16.1232 | + | 8.76332i | −0.755040 | + | 0.410380i | ||||
\(457\) | −7.55108 | − | 28.1810i | −0.353225 | − | 1.31825i | −0.882704 | − | 0.469929i | \(-0.844279\pi\) |
0.529479 | − | 0.848323i | \(-0.322387\pi\) | |||||||
\(458\) | −10.9726 | − | 2.94010i | −0.512717 | − | 0.137382i | ||||
\(459\) | −11.4432 | − | 23.9105i | −0.534122 | − | 1.11605i | ||||
\(460\) | 13.4263 | + | 4.30591i | 0.626002 | + | 0.200764i | ||||
\(461\) | − | 15.2893i | − | 0.712094i | −0.934468 | − | 0.356047i | \(-0.884124\pi\) | ||
0.934468 | − | 0.356047i | \(-0.115876\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 0.492195 | + | 0.492195i | 0.0228743 | + | 0.0228743i | 0.718451 | − | 0.695577i | \(-0.244851\pi\) |
−0.695577 | + | 0.718451i | \(0.744851\pi\) | |||||||
\(464\) | 31.6281 | − | 54.7815i | 1.46830 | − | 2.54317i | ||||
\(465\) | −10.0487 | − | 3.51045i | −0.465999 | − | 0.162793i | ||||
\(466\) | −10.1528 | − | 17.5852i | −0.470320 | − | 0.814619i | ||||
\(467\) | 12.2948 | − | 3.29439i | 0.568937 | − | 0.152446i | 0.0371280 | − | 0.999311i | \(-0.488179\pi\) |
0.531809 | + | 0.846864i | \(0.321512\pi\) | |||||||
\(468\) | −41.2192 | + | 8.79901i | −1.90536 | + | 0.406734i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −16.0951 | + | 24.9924i | −0.742410 | + | 1.15281i | ||||
\(471\) | −33.5986 | − | 0.865141i | −1.54814 | − | 0.0398636i | ||||
\(472\) | 33.7924 | + | 9.05465i | 1.55542 | + | 0.416774i | ||||
\(473\) | 11.7373 | + | 3.14500i | 0.539682 | + | 0.144607i | ||||
\(474\) | −75.1664 | − | 1.93548i | −3.45251 | − | 0.0888996i | ||||
\(475\) | 7.64932 | − | 3.47586i | 0.350975 | − | 0.159483i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 11.7570 | − | 2.50974i | 0.538314 | − | 0.114913i | ||||
\(478\) | 29.1546 | − | 7.81194i | 1.33350 | − | 0.357310i | ||||
\(479\) | 11.3786 | + | 19.7083i | 0.519901 | + | 0.900496i | 0.999732 | + | 0.0231347i | \(0.00736465\pi\) |
−0.479831 | + | 0.877361i | \(0.659302\pi\) | |||||||
\(480\) | −9.15001 | − | 18.9754i | −0.417639 | − | 0.866105i | ||||
\(481\) | 0.977074 | − | 1.69234i | 0.0445507 | − | 0.0771641i | ||||
\(482\) | 32.5235 | + | 32.5235i | 1.48141 | + | 1.48141i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 38.2328i | 1.73785i | ||||||||
\(485\) | 4.24568 | − | 13.2385i | 0.192787 | − | 0.601128i | ||||
\(486\) | −5.09262 | + | 39.3454i | −0.231006 | + | 1.78474i | ||||
\(487\) | 15.6982 | + | 4.20631i | 0.711352 | + | 0.190606i | 0.596310 | − | 0.802754i | \(-0.296633\pi\) |
0.115042 | + | 0.993361i | \(0.463300\pi\) | |||||||
\(488\) | 12.0865 | + | 45.1075i | 0.547131 | + | 2.04192i | ||||
\(489\) | −14.2163 | + | 7.72687i | −0.642884 | + | 0.349421i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 0.301729i | 0.0136168i | 0.999977 | + | 0.00680841i | \(0.00216720\pi\) | ||||
−0.999977 | + | 0.00680841i | \(0.997833\pi\) | |||||||
\(492\) | −34.4092 | − | 36.2281i | −1.55129 | − | 1.63329i | ||||
\(493\) | 11.7769 | − | 43.9519i | 0.530404 | − | 1.97949i | ||||
\(494\) | 6.70989 | + | 11.6219i | 0.301892 | + | 0.522893i | ||||
\(495\) | 1.05091 | − | 10.4706i | 0.0472348 | − | 0.470617i | ||||
\(496\) | 19.4909 | 0.875165 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −5.68071 | + | 19.2085i | −0.254559 | + | 0.860754i | ||||
\(499\) | 17.5116 | + | 10.1103i | 0.783928 | + | 0.452601i | 0.837821 | − | 0.545946i | \(-0.183830\pi\) |
−0.0538926 | + | 0.998547i | \(0.517163\pi\) | |||||||
\(500\) | 18.4728 | + | 46.5250i | 0.826129 | + | 2.08066i | ||||
\(501\) | −6.50631 | − | 3.98317i | −0.290681 | − | 0.177955i | ||||
\(502\) | −2.10295 | − | 7.84832i | −0.0938593 | − | 0.350288i | ||||
\(503\) | −23.8859 | + | 23.8859i | −1.06502 | + | 1.06502i | −0.0672882 | + | 0.997734i | \(0.521435\pi\) |
−0.997734 | + | 0.0672882i | \(0.978565\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.22440 | − | 1.90124i | 0.0544850 | − | 0.0846042i | ||||
\(506\) | −4.86943 | − | 2.81137i | −0.216473 | − | 0.124980i | ||||
\(507\) | −1.27752 | − | 5.31104i | −0.0567366 | − | 0.235871i | ||||
\(508\) | 23.4052 | − | 87.3495i | 1.03844 | − | 3.87551i | ||||
\(509\) | 5.88603 | − | 10.1949i | 0.260894 | − | 0.451881i | −0.705586 | − | 0.708624i | \(-0.749316\pi\) |
0.966480 | + | 0.256743i | \(0.0826494\pi\) | |||||||
\(510\) | −32.8194 | − | 38.0975i | −1.45327 | − | 1.68699i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −35.9587 | − | 35.9587i | −1.58917 | − | 1.58917i | ||||
\(513\) | 8.58332 | − | 1.60245i | 0.378963 | − | 0.0707498i | ||||
\(514\) | 36.8179 | − | 21.2569i | 1.62397 | − | 0.937600i | ||||
\(515\) | 9.43940 | − | 8.56469i | 0.415950 | − | 0.377405i | ||||
\(516\) | −60.0511 | − | 1.54627i | −2.64360 | − | 0.0680709i | ||||
\(517\) | 5.79412 | − | 5.79412i | 0.254825 | − | 0.254825i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 9.50842 | + | 17.4941i | 0.417373 | + | 0.767907i | ||||
\(520\) | −39.3401 | + | 20.2342i | −1.72518 | + | 0.887327i | ||||
\(521\) | 25.7965 | − | 14.8936i | 1.13016 | − | 0.652500i | 0.186187 | − | 0.982514i | \(-0.440387\pi\) |
0.943976 | + | 0.330014i | \(0.107053\pi\) | |||||||
\(522\) | −50.5702 | + | 45.6135i | −2.21340 | + | 1.99645i | ||||
\(523\) | 23.8608 | − | 6.39348i | 1.04336 | − | 0.279567i | 0.303854 | − | 0.952719i | \(-0.401726\pi\) |
0.739505 | + | 0.673151i | \(0.235060\pi\) | |||||||
\(524\) | −21.9268 | −0.957877 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −47.3309 | −2.06373 | ||||||||
\(527\) | 13.5427 | − | 3.62875i | 0.589929 | − | 0.158071i | ||||
\(528\) | 4.50646 | + | 18.7347i | 0.196118 | + | 0.815325i | ||||
\(529\) | 18.2009 | − | 10.5083i | 0.791343 | − | 0.456882i | ||||
\(530\) | 20.2799 | − | 10.4308i | 0.880903 | − | 0.453083i | ||||
\(531\) | −13.9685 | − | 9.05395i | −0.606183 | − | 0.392908i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −14.2956 | + | 14.2956i | −0.619211 | + | 0.619211i | ||||
\(534\) | −1.06693 | + | 41.4352i | −0.0461704 | + | 1.79307i | ||||
\(535\) | −6.59866 | + | 5.98719i | −0.285285 | + | 0.258849i | ||||
\(536\) | −28.9760 | + | 16.7293i | −1.25157 | + | 0.722595i | ||||
\(537\) | 19.7983 | + | 20.8449i | 0.854361 | + | 0.899523i | ||||
\(538\) | −52.8021 | − | 52.8021i | −2.27646 | − | 2.27646i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 7.05437 | + | 51.5414i | 0.303572 | + | 2.21799i | ||||
\(541\) | 11.5559 | − | 20.0153i | 0.496825 | − | 0.860526i | −0.503168 | − | 0.864188i | \(-0.667832\pi\) |
0.999993 | + | 0.00366246i | \(0.00116580\pi\) | |||||||
\(542\) | −2.09711 | + | 7.82652i | −0.0900786 | + | 0.336178i | ||||
\(543\) | −19.6242 | + | 4.72040i | −0.842153 | + | 0.202572i | ||||
\(544\) | 24.0306 | + | 13.8741i | 1.03030 | + | 0.594845i | ||||
\(545\) | −7.77560 | + | 12.0739i | −0.333070 | + | 0.517191i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −25.6689 | + | 25.6689i | −1.09752 | + | 1.09752i | −0.102823 | + | 0.994700i | \(0.532787\pi\) |
−0.994700 | + | 0.102823i | \(0.967213\pi\) | |||||||
\(548\) | −7.47105 | − | 27.8824i | −0.319148 | − | 1.19108i | ||||
\(549\) | 1.14354 | − | 22.1905i | 0.0488051 | − | 0.947068i | ||||
\(550\) | −3.27309 | − | 19.6920i | −0.139565 | − | 0.839671i | ||||
\(551\) | 12.9804 | + | 7.49421i | 0.552982 | + | 0.319264i | ||||
\(552\) | 14.7484 | + | 4.36169i | 0.627735 | + | 0.185646i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 60.6965 | 2.57875 | ||||||||
\(555\) | −1.99354 | − | 1.35768i | −0.0846211 | − | 0.0576304i | ||||
\(556\) | −22.8445 | − | 39.5679i | −0.968824 | − | 1.67805i | ||||
\(557\) | 3.87177 | − | 14.4497i | 0.164052 | − | 0.612252i | −0.834107 | − | 0.551603i | \(-0.814016\pi\) |
0.998159 | − | 0.0606487i | \(-0.0193169\pi\) | |||||||
\(558\) | −19.9627 | − | 6.46701i | −0.845088 | − | 0.273771i | ||||
\(559\) | 24.3063i | 1.02805i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 6.61917 | + | 12.1783i | 0.279462 | + | 0.514169i | ||||
\(562\) | 16.3394 | + | 60.9796i | 0.689238 | + | 2.57227i | ||||
\(563\) | 14.9192 | + | 3.99759i | 0.628769 | + | 0.168478i | 0.559111 | − | 0.829093i | \(-0.311143\pi\) |
0.0696580 | + | 0.997571i | \(0.477809\pi\) | |||||||
\(564\) | −21.1504 | + | 34.5481i | −0.890592 | + | 1.45474i | ||||
\(565\) | 3.17959 | − | 9.91430i | 0.133767 | − | 0.417098i | ||||
\(566\) | − | 19.5050i | − | 0.819858i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 16.1365 | + | 16.1365i | 0.677072 | + | 0.677072i | ||||
\(569\) | 21.0355 | − | 36.4346i | 0.881854 | − | 1.52742i | 0.0325765 | − | 0.999469i | \(-0.489629\pi\) |
0.849277 | − | 0.527947i | \(-0.177038\pi\) | |||||||
\(570\) | 14.9197 | − | 7.19433i | 0.624917 | − | 0.301337i | ||||
\(571\) | −5.41712 | − | 9.38272i | −0.226699 | − | 0.392655i | 0.730129 | − | 0.683310i | \(-0.239460\pi\) |
−0.956828 | + | 0.290655i | \(0.906127\pi\) | |||||||
\(572\) | 21.2882 | − | 5.70415i | 0.890103 | − | 0.238502i | ||||
\(573\) | −21.3503 | − | 6.31411i | −0.891921 | − | 0.263776i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −6.59308 | − | 2.47331i | −0.274950 | − | 0.103144i | ||||
\(576\) | 0.464409 | + | 0.909492i | 0.0193504 | + | 0.0378955i | ||||
\(577\) | 20.0772 | + | 5.37966i | 0.835823 | + | 0.223958i | 0.651253 | − | 0.758861i | \(-0.274244\pi\) |
0.184571 | + | 0.982819i | \(0.440911\pi\) | |||||||
\(578\) | 22.1852 | + | 5.94450i | 0.922782 | + | 0.247259i | ||||
\(579\) | −0.508297 | + | 19.7402i | −0.0211241 | + | 0.820375i | ||||
\(580\) | −48.3498 | + | 75.0776i | −2.00762 | + | 3.11743i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 7.77271 | − | 26.2823i | 0.322189 | − | 1.08944i | ||||
\(583\) | −6.07203 | + | 1.62700i | −0.251478 | + | 0.0673833i | ||||
\(584\) | 26.2922 | + | 45.5394i | 1.08798 | + | 1.88443i | ||||
\(585\) | 20.7746 | − | 3.39026i | 0.858926 | − | 0.140170i | ||||
\(586\) | −15.4901 | + | 26.8297i | −0.639891 | + | 1.10832i | ||||
\(587\) | 4.89737 | + | 4.89737i | 0.202136 | + | 0.202136i | 0.800915 | − | 0.598779i | \(-0.204347\pi\) |
−0.598779 | + | 0.800915i | \(0.704347\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.61831i | 0.190294i | ||||||||
\(590\) | −30.0688 | − | 9.64332i | −1.23791 | − | 0.397009i | ||||
\(591\) | 39.1729 | + | 23.9817i | 1.61136 | + | 0.986475i | ||||
\(592\) | 4.26606 | + | 1.14309i | 0.175334 | + | 0.0469806i | ||||
\(593\) | −8.25882 | − | 30.8223i | −0.339149 | − | 1.26572i | −0.899300 | − | 0.437331i | \(-0.855924\pi\) |
0.560151 | − | 0.828390i | \(-0.310743\pi\) | |||||||
\(594\) | 1.60059 | − | 20.6835i | 0.0656729 | − | 0.848654i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 4.13314i | 0.169300i | ||||||||
\(597\) | −5.28378 | + | 5.01850i | −0.216251 | + | 0.205394i | ||||
\(598\) | 2.91097 | − | 10.8639i | 0.119039 | − | 0.444258i | ||||
\(599\) | 3.40986 | + | 5.90604i | 0.139323 | + | 0.241314i | 0.927241 | − | 0.374466i | \(-0.122174\pi\) |
−0.787918 | + | 0.615781i | \(0.788841\pi\) | |||||||
\(600\) | 21.3017 | + | 50.2761i | 0.869638 | + | 2.05251i | ||||
\(601\) | 8.46733 | 0.345390 | 0.172695 | − | 0.984975i | \(-0.444753\pi\) | ||||
0.172695 | + | 0.984975i | \(0.444753\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 15.5693 | − | 3.32356i | 0.634031 | − | 0.135346i | ||||
\(604\) | 53.2417 | + | 30.7391i | 2.16637 | + | 1.25076i | ||||
\(605\) | 0.926576 | − | 19.0717i | 0.0376707 | − | 0.775374i | ||||
\(606\) | 2.32769 | − | 3.80216i | 0.0945558 | − | 0.154452i | ||||
\(607\) | −2.30704 | − | 8.60998i | −0.0936398 | − | 0.349468i | 0.903170 | − | 0.429283i | \(-0.141234\pi\) |
−0.996810 | + | 0.0798148i | \(0.974567\pi\) | |||||||
\(608\) | −6.46309 | + | 6.46309i | −0.262113 | + | 0.262113i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −8.92083 | − | 41.1959i | −0.361194 | − | 1.66797i | ||||
\(611\) | 14.1947 | + | 8.19533i | 0.574258 | + | 0.331548i | ||||
\(612\) | −45.8948 | − | 50.8820i | −1.85519 | − | 2.05678i | ||||
\(613\) | −1.92064 | + | 7.16791i | −0.0775738 | + | 0.289509i | −0.993805 | − | 0.111142i | \(-0.964549\pi\) |
0.916231 | + | 0.400651i | \(0.131216\pi\) | |||||||
\(614\) | −21.3301 | + | 36.9448i | −0.860812 | + | 1.49097i | ||||
\(615\) | 16.2864 | + | 18.9056i | 0.656731 | + | 0.762348i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 2.10719 | + | 2.10719i | 0.0848323 | + | 0.0848323i | 0.748250 | − | 0.663417i | \(-0.230895\pi\) |
−0.663417 | + | 0.748250i | \(0.730895\pi\) | |||||||
\(618\) | 18.2190 | − | 17.3043i | 0.732875 | − | 0.696080i | ||||
\(619\) | 18.2501 | − | 10.5367i | 0.733534 | − | 0.423506i | −0.0861795 | − | 0.996280i | \(-0.527466\pi\) |
0.819714 | + | 0.572773i | \(0.194133\pi\) | |||||||
\(620\) | −27.4829 | − | 1.33523i | −1.10374 | − | 0.0536240i | ||||
\(621\) | −6.03636 | − | 4.13705i | −0.242231 | − | 0.166014i | ||||
\(622\) | 52.6932 | − | 52.6932i | 2.11280 | − | 2.11280i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −33.8650 | + | 18.4063i | −1.35569 | + | 0.736844i | ||||
\(625\) | −8.08726 | − | 23.6558i | −0.323491 | − | 0.946231i | ||||
\(626\) | −3.82080 | + | 2.20594i | −0.152710 | + | 0.0881670i | ||||
\(627\) | −4.43915 | + | 1.06779i | −0.177283 | + | 0.0426436i | ||||
\(628\) | −83.9205 | + | 22.4864i | −3.34879 | + | 0.897306i | ||||
\(629\) | 3.17697 | 0.126674 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −11.6376 | −0.463287 | −0.231643 | − | 0.972801i | \(-0.574410\pi\) | ||||
−0.231643 | + | 0.972801i | \(0.574410\pi\) | |||||||
\(632\) | −103.881 | + | 27.8348i | −4.13216 | + | 1.10721i | ||||
\(633\) | −36.2420 | + | 8.71765i | −1.44049 | + | 0.346496i | ||||
\(634\) | 13.4083 | − | 7.74127i | 0.532511 | − | 0.307445i | ||||
\(635\) | −13.7922 | + | 43.0054i | −0.547326 | + | 1.70662i | ||||
\(636\) | 27.3040 | − | 14.8403i | 1.08267 | − | 0.588455i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 25.1806 | − | 25.1806i | 0.996910 | − | 0.996910i | ||||
\(639\) | −4.93801 | − | 9.67051i | −0.195345 | − | 0.382560i | ||||
\(640\) | 17.6473 | + | 19.4496i | 0.697572 | + | 0.768815i | ||||
\(641\) | −31.2666 | + | 18.0518i | −1.23496 | + | 0.713003i | −0.968059 | − | 0.250722i | \(-0.919332\pi\) |
−0.266898 | + | 0.963725i | \(0.585999\pi\) | |||||||
\(642\) | −12.7361 | + | 12.0967i | −0.502653 | + | 0.477417i | ||||
\(643\) | 21.0115 | + | 21.0115i | 0.828614 | + | 0.828614i | 0.987325 | − | 0.158711i | \(-0.0507337\pi\) |
−0.158711 | + | 0.987325i | \(0.550734\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 29.9179 | + | 2.22667i | 1.17801 | + | 0.0876752i | ||||
\(646\) | −10.9087 | + | 18.8944i | −0.429196 | + | 0.743389i | ||||
\(647\) | 6.91879 | − | 25.8213i | 0.272006 | − | 1.01514i | −0.685816 | − | 0.727775i | \(-0.740554\pi\) |
0.957821 | − | 0.287364i | \(-0.0927789\pi\) | |||||||
\(648\) | 8.97464 | + | 56.0306i | 0.352557 | + | 2.20109i | ||||
\(649\) | 7.53812 | + | 4.35214i | 0.295897 | + | 0.170836i | ||||
\(650\) | 36.3532 | − | 16.5189i | 1.42589 | − | 0.647925i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −29.5757 | + | 29.5757i | −1.15828 | + | 1.15828i | ||||
\(653\) | −4.49712 | − | 16.7835i | −0.175986 | − | 0.656788i | −0.996382 | − | 0.0849922i | \(-0.972913\pi\) |
0.820396 | − | 0.571796i | \(-0.193753\pi\) | |||||||
\(654\) | −14.7821 | + | 24.1458i | −0.578026 | + | 0.944177i | ||||
\(655\) | 10.9378 | + | 0.531399i | 0.427374 | + | 0.0207635i | ||||
\(656\) | −39.5707 | − | 22.8462i | −1.54498 | − | 0.891994i | ||||
\(657\) | −5.22339 | − | 24.4691i | −0.203784 | − | 0.954631i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −0.708622 | −0.0276040 | −0.0138020 | − | 0.999905i | \(-0.504393\pi\) | ||||
−0.0138020 | + | 0.999905i | \(0.504393\pi\) | |||||||
\(660\) | −5.07087 | − | 26.7255i | −0.197383 | − | 1.04029i | ||||
\(661\) | 8.71029 | + | 15.0867i | 0.338791 | + | 0.586803i | 0.984206 | − | 0.177029i | \(-0.0566487\pi\) |
−0.645414 | + | 0.763833i | \(0.723315\pi\) | |||||||
\(662\) | 21.9089 | − | 81.7650i | 0.851512 | − | 3.17789i | ||||
\(663\) | −20.1033 | + | 19.0940i | −0.780749 | + | 0.741551i | ||||
\(664\) | 28.6500i | 1.11184i | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −3.99006 | − | 2.58623i | −0.154612 | − | 0.100214i | ||||
\(667\) | −3.25123 | − | 12.1338i | −0.125888 | − | 0.469821i | ||||
\(668\) | −19.0483 | − | 5.10397i | −0.737000 | − | 0.197479i | ||||
\(669\) | −25.9050 | − | 15.8591i | −1.00155 | − | 0.613147i | ||||
\(670\) | 26.8559 | − | 13.8131i | 1.03754 | − | 0.533645i | ||||
\(671\) | 11.6188i | 0.448540i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −8.20389 | − | 8.20389i | −0.316237 | − | 0.316237i | 0.531083 | − | 0.847320i | \(-0.321785\pi\) |
−0.847320 | + | 0.531083i | \(0.821785\pi\) | |||||||
\(674\) | −18.5463 | + | 32.1231i | −0.714377 | + | 1.23734i | ||||
\(675\) | −2.26983 | − | 25.8814i | −0.0873656 | − | 0.996176i | ||||
\(676\) | −7.06029 | − | 12.2288i | −0.271550 | − | 0.470338i | ||||
\(677\) | −44.8882 | + | 12.0278i | −1.72519 | + | 0.462264i | −0.979067 | − | 0.203539i | \(-0.934756\pi\) |
−0.746128 | + | 0.665803i | \(0.768089\pi\) | |||||||
\(678\) | 5.82098 | − | 19.6828i | 0.223554 | − | 0.755915i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −60.4675 | − | 38.9409i | −2.31882 | − | 1.49332i | ||||
\(681\) | −0.548901 | + | 21.3171i | −0.0210339 | + | 0.816874i | ||||
\(682\) | 10.5987 | + | 2.83991i | 0.405845 | + | 0.108746i | ||||
\(683\) | −38.9287 | − | 10.4309i | −1.48957 | − | 0.399128i | −0.579975 | − | 0.814634i | \(-0.696938\pi\) |
−0.909590 | + | 0.415506i | \(0.863604\pi\) | |||||||
\(684\) | 20.1021 | − | 10.2646i | 0.768623 | − | 0.392478i | ||||
\(685\) | 3.05106 | + | 14.0896i | 0.116575 | + | 0.538338i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 7.41347 | + | 2.19245i | 0.282842 | + | 0.0836473i | ||||
\(688\) | −53.0626 | + | 14.2181i | −2.02299 | + | 0.542060i | ||||
\(689\) | −6.28716 | − | 10.8897i | −0.239522 | − | 0.414864i | ||||
\(690\) | −13.1054 | − | 4.57825i | −0.498912 | − | 0.174291i | ||||
\(691\) | 2.89969 | − | 5.02242i | 0.110310 | − | 0.191062i | −0.805586 | − | 0.592480i | \(-0.798149\pi\) |
0.915895 | + | 0.401418i | \(0.131482\pi\) | |||||||
\(692\) | 36.3949 | + | 36.3949i | 1.38353 | + | 1.38353i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 69.1925i | − | 2.62651i | ||||||
\(695\) | 10.4366 | + | 20.2913i | 0.395884 | + | 0.769694i | ||||
\(696\) | −50.8584 | + | 83.0747i | −1.92778 | + | 3.14894i | ||||
\(697\) | −31.7481 | − | 8.50687i | −1.20254 | − | 0.322221i | ||||
\(698\) | −19.8470 | − | 74.0699i | −0.751219 | − | 2.80359i | ||||
\(699\) | 6.59919 | + | 12.1416i | 0.249604 | + | 0.459236i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 4.92775i | 0.186118i | 0.995661 | + | 0.0930592i | \(0.0296646\pi\) | ||||
−0.995661 | + | 0.0930592i | \(0.970335\pi\) | |||||||
\(702\) | 40.7920 | − | 7.61559i | 1.53960 | − | 0.287432i | ||||
\(703\) | −0.270852 | + | 1.01083i | −0.0102154 | + | 0.0381243i | ||||
\(704\) | −0.266993 | − | 0.462446i | −0.0100627 | − | 0.0174291i | ||||
\(705\) | 11.3877 | − | 16.7211i | 0.428887 | − | 0.629752i | ||||
\(706\) | −61.3096 | −2.30742 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −41.2635 | − | 12.2032i | −1.55078 | − | 0.458625i | ||||
\(709\) | −14.8889 | − | 8.59609i | −0.559163 | − | 0.322833i | 0.193647 | − | 0.981071i | \(-0.437968\pi\) |
−0.752809 | + | 0.658239i | \(0.771302\pi\) | |||||||
\(710\) | −13.8410 | − | 15.2546i | −0.519443 | − | 0.572494i | ||||
\(711\) | 51.1039 | + | 2.63353i | 1.91655 | + | 0.0987649i | ||||
\(712\) | 15.3438 | + | 57.2639i | 0.575034 | + | 2.14606i | ||||
\(713\) | 2.73693 | − | 2.73693i | 0.102499 | − | 0.102499i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −10.7574 | + | 2.32948i | −0.402305 | + | 0.0871177i | ||||
\(716\) | 64.3586 | + | 37.1575i | 2.40519 | + | 1.38864i | ||||
\(717\) | −19.9715 | + | 4.80395i | −0.745850 | + | 0.179407i | ||||
\(718\) | −0.486116 | + | 1.81421i | −0.0181417 | + | 0.0677057i | ||||
\(719\) | −6.12782 | + | 10.6137i | −0.228529 | + | 0.395824i | −0.957372 | − | 0.288856i | \(-0.906725\pi\) |
0.728843 | + | 0.684681i | \(0.240058\pi\) | |||||||
\(720\) | 19.5534 | + | 43.3696i | 0.728714 | + | 1.61629i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 29.1113 | + | 29.1113i | 1.08341 | + | 1.08341i | ||||
\(723\) | −21.5569 | − | 22.6964i | −0.801711 | − | 0.844089i | ||||
\(724\) | −45.1850 | + | 26.0876i | −1.67929 | + | 0.969538i | ||||
\(725\) | 25.9379 | − | 36.2792i | 0.963309 | − | 1.34738i | ||||
\(726\) | 0.968939 | − | 37.6297i | 0.0359607 | − | 1.39657i | ||||
\(727\) | −5.83842 | + | 5.83842i | −0.216535 | + | 0.216535i | −0.807037 | − | 0.590501i | \(-0.798930\pi\) |
0.590501 | + | 0.807037i | \(0.298930\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 4.15390 | − | 26.6786i | 0.153848 | − | 0.988094i | ||||
\(730\) | −21.7090 | − | 42.2075i | −0.803485 | − | 1.56217i | ||||
\(731\) | −34.2220 | + | 19.7581i | −1.26575 | + | 0.730780i | ||||
\(732\) | −13.4331 | − | 55.8455i | −0.496502 | − | 2.06411i | ||||
\(733\) | 18.5697 | − | 4.97574i | 0.685888 | − | 0.183783i | 0.100987 | − | 0.994888i | \(-0.467800\pi\) |
0.584901 | + | 0.811105i | \(0.301133\pi\) | |||||||
\(734\) | −83.8351 | −3.09441 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 7.66040 | 0.282366 | ||||||||
\(737\) | −8.04096 | + | 2.15457i | −0.296193 | + | 0.0793646i | ||||
\(738\) | 32.9484 | + | 36.5287i | 1.21285 | + | 1.34464i | ||||
\(739\) | 13.1464 | − | 7.59007i | 0.483598 | − | 0.279205i | −0.238317 | − | 0.971187i | \(-0.576596\pi\) |
0.721915 | + | 0.691982i | \(0.243262\pi\) | |||||||
\(740\) | −5.93702 | − | 1.90405i | −0.218249 | − | 0.0699943i | ||||
\(741\) | −4.36134 | − | 8.02424i | −0.160218 | − | 0.294778i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 34.4215 | − | 34.4215i | 1.26280 | − | 1.26280i | 0.313073 | − | 0.949729i | \(-0.398642\pi\) |
0.949729 | − | 0.313073i | \(-0.101358\pi\) | |||||||
\(744\) | −30.0034 | − | 0.772566i | −1.09998 | − | 0.0283236i | ||||
\(745\) | 0.100167 | − | 2.06174i | 0.00366984 | − | 0.0755362i | ||||
\(746\) | −16.4614 | + | 9.50402i | −0.602696 | + | 0.347967i | ||||
\(747\) | 4.20124 | − | 12.9686i | 0.153715 | − | 0.474496i | ||||
\(748\) | 25.3359 | + | 25.3359i | 0.926371 | + | 0.926371i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −17.0023 | − | 46.2593i | −0.620837 | − | 1.68915i | ||||
\(751\) | 11.1258 | − | 19.2704i | 0.405985 | − | 0.703186i | −0.588451 | − | 0.808533i | \(-0.700262\pi\) |
0.994436 | + | 0.105347i | \(0.0335952\pi\) | |||||||
\(752\) | −9.58780 | + | 35.7822i | −0.349631 | + | 1.30484i | ||||
\(753\) | 1.29321 | + | 5.37628i | 0.0471272 | + | 0.195922i | ||||
\(754\) | 61.6888 | + | 35.6160i | 2.24657 | + | 1.29706i | ||||
\(755\) | −25.8136 | − | 16.6239i | −0.939454 | − | 0.605007i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −1.88407 | + | 1.88407i | −0.0684777 | + | 0.0684777i | −0.740516 | − | 0.672038i | \(-0.765419\pi\) |
0.672038 | + | 0.740516i | \(0.265419\pi\) | |||||||
\(758\) | 2.22876 | + | 8.31786i | 0.0809523 | + | 0.302118i | ||||
\(759\) | 3.26356 | + | 1.99795i | 0.118460 | + | 0.0725212i | ||||
\(760\) | 17.5452 | − | 15.9193i | 0.636430 | − | 0.577455i | ||||
\(761\) | 30.8889 | + | 17.8337i | 1.11972 | + | 0.646472i | 0.941330 | − | 0.337488i | \(-0.109577\pi\) |
0.178392 | + | 0.983960i | \(0.442911\pi\) | |||||||
\(762\) | −25.2498 | + | 85.3786i | −0.914703 | + | 3.09294i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −57.5532 | −2.08220 | ||||||||
\(765\) | 21.6606 | + | 26.4938i | 0.783141 | + | 0.957884i | ||||
\(766\) | −5.16028 | − | 8.93787i | −0.186449 | − | 0.322938i | ||||
\(767\) | −4.50633 | + | 16.8179i | −0.162714 | + | 0.607258i | ||||
\(768\) | 34.8430 | + | 36.6848i | 1.25729 | + | 1.32375i | ||||
\(769\) | − | 31.7331i | − | 1.14432i | −0.820141 | − | 0.572162i | \(-0.806105\pi\) | ||
0.820141 | − | 0.572162i | \(-0.193895\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −25.4207 | + | 13.8167i | −0.915503 | + | 0.497595i | ||||
\(772\) | 13.2115 | + | 49.3059i | 0.475491 | + | 1.77456i | ||||
\(773\) | −6.80067 | − | 1.82223i | −0.244603 | − | 0.0655412i | 0.134434 | − | 0.990922i | \(-0.457078\pi\) |
−0.379038 | + | 0.925381i | \(0.623745\pi\) | |||||||
\(774\) | 59.0647 | + | 3.04377i | 2.12304 | + | 0.109406i | ||||
\(775\) | 13.6770 | + | 1.33210i | 0.491291 | + | 0.0478506i | ||||
\(776\) | − | 39.2008i | − | 1.40723i | ||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 18.3745 | + | 18.3745i | 0.658758 | + | 0.658758i | ||||
\(779\) | 5.41335 | − | 9.37619i | 0.193953 | − | 0.335937i | ||||
\(780\) | 49.0121 | − | 23.6338i | 1.75491 | − | 0.846225i | ||||
\(781\) | 2.83891 | + | 4.91713i | 0.101584 | + | 0.175949i | ||||
\(782\) | 17.6621 | − | 4.73254i | 0.631595 | − | 0.169235i | ||||
\(783\) | 35.2034 | − | 30.1463i | 1.25807 | − | 1.07734i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 42.4071 | − | 9.18310i | 1.51357 | − | 0.327759i | ||||
\(786\) | 21.5810 | + | 0.555695i | 0.769767 | + | 0.0198210i | ||||
\(787\) | 25.6203 | + | 6.86494i | 0.913266 | + | 0.244709i | 0.684705 | − | 0.728821i | \(-0.259931\pi\) |
0.228561 | + | 0.973530i | \(0.426598\pi\) | |||||||
\(788\) | 114.685 | + | 30.7298i | 4.08549 | + | 1.09470i | ||||
\(789\) | 32.2005 | + | 0.829142i | 1.14637 | + | 0.0295182i | ||||
\(790\) | 94.8726 | − | 20.5443i | 3.37542 | − | 0.730934i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −6.19445 | − | 29.0181i | −0.220110 | − | 1.03111i | ||||
\(793\) | −22.4492 | + | 6.01524i | −0.797194 | + | 0.213607i | ||||
\(794\) | −43.2873 | − | 74.9758i | −1.53621 | − | 2.66079i | ||||
\(795\) | −13.9797 | + | 6.74107i | −0.495809 | + | 0.239081i | ||||
\(796\) | −9.41871 | + | 16.3137i | −0.333837 | + | 0.578223i | ||||
\(797\) | −7.92792 | − | 7.92792i | −0.280821 | − | 0.280821i | 0.552615 | − | 0.833437i | \(-0.313630\pi\) |
−0.833437 | + | 0.552615i | \(0.813630\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 26.6473i | 0.942713i | ||||||||
\(800\) | 17.2760 | + | 21.0045i | 0.610800 | + | 0.742620i | ||||
\(801\) | 1.45172 | − | 28.1708i | 0.0512940 | − | 0.995367i | ||||
\(802\) | 49.3911 | + | 13.2343i | 1.74406 | + | 0.467320i | ||||
\(803\) | 3.38618 | + | 12.6374i | 0.119496 | + | 0.445964i | ||||
\(804\) | 36.1576 | − | 19.6524i | 1.27518 | − | 0.693088i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 21.9484i | 0.773099i | ||||||||
\(807\) | 34.9977 | + | 36.8477i | 1.23198 | + | 1.29710i | ||||
\(808\) | 1.65032 | − | 6.15910i | 0.0580582 | − | 0.216676i | ||||
\(809\) | 16.6141 | + | 28.7764i | 0.584119 | + | 1.01172i | 0.994985 | + | 0.100028i | \(0.0318934\pi\) |
−0.410865 | + | 0.911696i | \(0.634773\pi\) | |||||||
\(810\) | −5.63688 | − | 50.9072i | −0.198060 | − | 1.78870i | ||||
\(811\) | 49.8680 | 1.75110 | 0.875550 | − | 0.483127i | \(-0.160499\pi\) | ||||
0.875550 | + | 0.483127i | \(0.160499\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 1.56383 | − | 5.28787i | 0.0548458 | − | 0.185454i | ||||
\(814\) | 2.15324 | + | 1.24317i | 0.0754709 | + | 0.0435732i | ||||
\(815\) | 15.4701 | − | 14.0365i | 0.541893 | − | 0.491678i | ||||
\(816\) | −53.4434 | − | 32.7181i | −1.87089 | − | 1.14536i | ||||
\(817\) | −3.36894 | − | 12.5731i | −0.117864 | − | 0.439876i | ||||
\(818\) | 60.3060 | − | 60.3060i | 2.10855 | − | 2.10855i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 54.2313 | + | 34.9249i | 1.89384 | + | 1.21963i | ||||
\(821\) | −28.0956 | − | 16.2210i | −0.980542 | − | 0.566116i | −0.0781084 | − | 0.996945i | \(-0.524888\pi\) |
−0.902434 | + | 0.430829i | \(0.858221\pi\) | |||||||
\(822\) | 6.64659 | + | 27.6319i | 0.231826 | + | 0.963773i | ||||
\(823\) | −11.9776 | + | 44.7011i | −0.417514 | + | 1.55818i | 0.362233 | + | 0.932088i | \(0.382015\pi\) |
−0.779747 | + | 0.626095i | \(0.784652\pi\) | |||||||
\(824\) | 17.9695 | − | 31.1241i | 0.625998 | − | 1.08426i | ||||
\(825\) | 1.88181 | + | 13.4544i | 0.0655162 | + | 0.468422i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 36.7198 | + | 36.7198i | 1.27687 | + | 1.27687i | 0.942408 | + | 0.334465i | \(0.108556\pi\) |
0.334465 | + | 0.942408i | \(0.391444\pi\) | |||||||
\(828\) | −17.9961 | − | 5.82994i | −0.625409 | − | 0.202605i | ||||
\(829\) | 12.3817 | − | 7.14860i | 0.430036 | − | 0.248281i | −0.269326 | − | 0.963049i | \(-0.586801\pi\) |
0.699362 | + | 0.714768i | \(0.253468\pi\) | |||||||
\(830\) | 1.25489 | − | 25.8293i | 0.0435578 | − | 0.896550i | ||||
\(831\) | −41.2935 | − | 1.06328i | −1.43246 | − | 0.0368848i | ||||
\(832\) | 0.755282 | − | 0.755282i | 0.0261847 | − | 0.0261847i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 21.4814 | + | 39.5227i | 0.743841 | + | 1.36856i | ||||
\(835\) | 9.37818 | + | 3.00766i | 0.324545 | + | 0.104084i | ||||
\(836\) | −10.2212 | + | 5.90123i | −0.353509 | + | 0.204098i | ||||
\(837\) | 13.4679 | + | 4.74940i | 0.465518 | + | 0.164163i | ||||
\(838\) | −63.6151 | + | 17.0456i | −2.19755 | + | 0.588831i | ||||
\(839\) | −33.6309 | −1.16107 | −0.580534 | − | 0.814236i | \(-0.697156\pi\) | ||||
−0.580534 | + | 0.814236i | \(0.697156\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 50.5583 | 1.74339 | ||||||||
\(842\) | −25.5742 | + | 6.85259i | −0.881346 | + | 0.236156i | ||||
\(843\) | −10.0479 | − | 41.7724i | −0.346069 | − | 1.43872i | ||||
\(844\) | −83.4479 | + | 48.1787i | −2.87240 | + | 1.65838i | ||||
\(845\) | 3.22552 | + | 6.27120i | 0.110961 | + | 0.215736i | ||||
\(846\) | 21.6923 | − | 33.4672i | 0.745798 | − | 1.15062i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 20.0953 | − | 20.0953i | 0.690077 | − | 0.690077i | ||||
\(849\) | −0.341689 | + | 13.2698i | −0.0117267 | + | 0.455420i | ||||
\(850\) | 52.8086 | + | 37.7556i | 1.81132 | + | 1.29501i | ||||
\(851\) | 0.759561 | − | 0.438533i | 0.0260374 | − | 0.0150327i | ||||
\(852\) | −19.3300 | − | 20.3518i | −0.662236 | − | 0.697242i | ||||
\(853\) | −26.5544 | − | 26.5544i | −0.909206 | − | 0.909206i | 0.0870025 | − | 0.996208i | \(-0.472271\pi\) |
−0.996208 | + | 0.0870025i | \(0.972271\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −10.2763 | + | 4.63314i | −0.351443 | + | 0.158450i | ||||
\(856\) | −12.5617 | + | 21.7575i | −0.429350 | + | 0.743655i | ||||
\(857\) | 8.44459 | − | 31.5157i | 0.288462 | − | 1.07655i | −0.657810 | − | 0.753184i | \(-0.728517\pi\) |
0.946272 | − | 0.323371i | \(-0.104816\pi\) | |||||||
\(858\) | −21.0969 | + | 5.07467i | −0.720238 | + | 0.173246i | ||||
\(859\) | −15.0032 | − | 8.66212i | −0.511903 | − | 0.295548i | 0.221712 | − | 0.975112i | \(-0.428835\pi\) |
−0.733616 | + | 0.679565i | \(0.762169\pi\) | |||||||
\(860\) | 75.7946 | − | 16.4130i | 2.58457 | − | 0.559680i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0.808044 | − | 0.808044i | 0.0275221 | − | 0.0275221i | ||||
\(863\) | 3.31336 | + | 12.3656i | 0.112788 | + | 0.420931i | 0.999112 | − | 0.0421348i | \(-0.0134159\pi\) |
−0.886324 | + | 0.463066i | \(0.846749\pi\) | |||||||
\(864\) | 12.2011 | + | 25.4942i | 0.415090 | + | 0.867330i | ||||
\(865\) | −17.2729 | − | 19.0369i | −0.587295 | − | 0.647275i | ||||
\(866\) | −55.4253 | − | 31.9998i | −1.88343 | − | 1.08740i | ||||
\(867\) | −14.9891 | − | 4.43285i | −0.509056 | − | 0.150548i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −26.7577 | −0.907693 | ||||||||
\(870\) | 49.4899 | − | 72.6680i | 1.67786 | − | 2.46368i | ||||
\(871\) | −8.32585 | − | 14.4208i | −0.282111 | − | 0.488630i | ||||
\(872\) | −10.4805 | + | 39.1137i | −0.354914 | + | 1.32456i | ||||
\(873\) | −5.74840 | + | 17.7444i | −0.194554 | + | 0.600558i | ||||
\(874\) | 6.02310i | 0.203734i | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −30.8863 | − | 56.8263i | −1.04355 | − | 1.91998i | ||||
\(877\) | 5.65985 | + | 21.1228i | 0.191119 | + | 0.713267i | 0.993237 | + | 0.116102i | \(0.0370399\pi\) |
−0.802118 | + | 0.597166i | \(0.796293\pi\) | |||||||
\(878\) | 72.5932 | + | 19.4513i | 2.44990 | + | 0.656449i | ||||
\(879\) | 11.0084 | − | 17.9816i | 0.371303 | − | 0.606505i | ||||
\(880\) | −11.3781 | − | 22.1217i | −0.383555 | − | 0.745723i | ||||
\(881\) | 3.93409i | 0.132543i | 0.997802 | + | 0.0662714i | \(0.0211103\pi\) | ||||
−0.997802 | + | 0.0662714i | \(0.978890\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 13.5688 | + | 13.5688i | 0.456625 | + | 0.456625i | 0.897546 | − | 0.440921i | \(-0.145348\pi\) |
−0.440921 | + | 0.897546i | \(0.645348\pi\) | |||||||
\(884\) | −35.8356 | + | 62.0691i | −1.20528 | + | 2.08761i | ||||
\(885\) | 20.2877 | + | 7.08737i | 0.681965 | + | 0.238239i | ||||
\(886\) | −28.0100 | − | 48.5148i | −0.941015 | − | 1.62989i | ||||
\(887\) | −6.72756 | + | 1.80264i | −0.225889 | + | 0.0605269i | −0.369988 | − | 0.929036i | \(-0.620638\pi\) |
0.144099 | + | 0.989563i | \(0.453972\pi\) | |||||||
\(888\) | −6.52168 | − | 1.92872i | −0.218853 | − | 0.0647235i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −11.3250 | − | 52.2982i | −0.379614 | − | 1.75304i | ||||
\(891\) | −1.45126 | + | 14.0435i | −0.0486190 | + | 0.470476i | ||||
\(892\) | −75.8412 | − | 20.3216i | −2.53935 | − | 0.680417i | ||||
\(893\) | −8.47850 | − | 2.27181i | −0.283722 | − | 0.0760231i | ||||
\(894\) | 0.104747 | − | 4.06795i | 0.00350326 | − | 0.136052i | ||||
\(895\) | −31.2035 | − | 20.0950i | −1.04302 | − | 0.671703i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −2.17073 | + | 7.34002i | −0.0724786 | + | 0.245076i | ||||
\(898\) | 40.1234 | − | 10.7510i | 1.33894 | − | 0.358767i | ||||
\(899\) | 12.2570 | + | 21.2297i | 0.408793 | + | 0.708050i | ||||
\(900\) | −24.6001 | − | 62.4924i | −0.820005 | − | 2.08308i | ||||
\(901\) | 10.2214 | − | 17.7040i | 0.340524 | − | 0.589806i | ||||
\(902\) | −18.1889 | − | 18.1889i | −0.605624 | − | 0.605624i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | − | 29.3575i | − | 0.976416i | ||||||
\(905\) | 23.1719 | − | 11.9182i | 0.770261 | − | 0.396176i | ||||
\(906\) | −51.6228 | − | 31.6035i | −1.71505 | − | 1.04996i | ||||
\(907\) | 25.9978 | + | 6.96610i | 0.863244 | + | 0.231305i | 0.663164 | − | 0.748474i | \(-0.269213\pi\) |
0.200080 | + | 0.979780i | \(0.435880\pi\) | |||||||
\(908\) | 14.2668 | + | 53.2446i | 0.473462 | + | 1.76698i | ||||
\(909\) | −1.65020 | + | 2.54594i | −0.0547336 | + | 0.0844436i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 17.7669i | 0.588644i | 0.955706 | + | 0.294322i | \(0.0950938\pi\) | ||||
−0.955706 | + | 0.294322i | \(0.904906\pi\) | |||||||
\(912\) | 14.9664 | − | 14.2150i | 0.495586 | − | 0.470705i | ||||
\(913\) | −1.84492 | + | 6.88535i | −0.0610581 | + | 0.227872i | ||||
\(914\) | 37.1263 | + | 64.3046i | 1.22803 | + | 2.12701i | ||||
\(915\) | 5.34742 | + | 28.1830i | 0.176780 | + | 0.931702i | ||||
\(916\) | 19.9842 | 0.660298 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 43.8814 | + | 51.2425i | 1.44830 | + | 1.69125i | ||||
\(919\) | 7.36529 | + | 4.25235i | 0.242958 | + | 0.140272i | 0.616536 | − | 0.787327i | \(-0.288536\pi\) |
−0.373577 | + | 0.927599i | \(0.621869\pi\) | |||||||
\(920\) | −19.8319 | − | 0.963512i | −0.653840 | − | 0.0317661i | ||||
\(921\) | 15.1586 | − | 24.7609i | 0.499494 | − | 0.815900i | ||||
\(922\) | 10.0712 | + | 37.5863i | 0.331678 | + | 1.23784i | ||||
\(923\) | −8.03083 | + | 8.03083i | −0.264338 | + | 0.264338i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.91542 | + | 1.09368i | 0.0958586 | + | 0.0359601i | ||||
\(926\) | −1.53420 | − | 0.885769i | −0.0504169 | − | 0.0291082i | ||||
\(927\) | −12.6980 | + | 11.4534i | −0.417058 | + | 0.376180i | ||||
\(928\) | −12.5569 | + | 46.8629i | −0.412200 | + | 1.53835i | ||||
\(929\) | 7.07945 | − | 12.2620i | 0.232269 | − | 0.402302i | −0.726206 | − | 0.687477i | \(-0.758718\pi\) |
0.958476 | + | 0.285175i | \(0.0920517\pi\) | |||||||
\(930\) | 27.0156 | + | 2.01067i | 0.885876 | + | 0.0659324i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 25.2594 | + | 25.2594i | 0.827399 | + | 0.827399i | ||||
\(933\) | −36.7717 | + | 34.9256i | −1.20385 | + | 1.14341i | ||||
\(934\) | −28.0548 | + | 16.1975i | −0.917982 | + | 0.529997i | ||||
\(935\) | −12.0243 | − | 13.2523i | −0.393237 | − | 0.433398i | ||||
\(936\) | 52.8599 | − | 26.9916i | 1.72778 | − | 0.882248i | ||||
\(937\) | −28.7165 | + | 28.7165i | −0.938127 | + | 0.938127i | −0.998194 | − | 0.0600678i | \(-0.980868\pi\) |
0.0600678 | + | 0.998194i | \(0.480868\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 2.63804 | − | 1.43383i | 0.0860891 | − | 0.0467912i | ||||
\(940\) | 15.9705 | − | 49.7975i | 0.520899 | − | 1.62422i | ||||
\(941\) | 15.0690 | − | 8.70007i | 0.491234 | − | 0.283614i | −0.233852 | − | 0.972272i | \(-0.575133\pi\) |
0.725086 | + | 0.688658i | \(0.241800\pi\) | |||||||
\(942\) | 83.1667 | − | 20.0049i | 2.70972 | − | 0.651796i | ||||
\(943\) | −8.76467 | + | 2.34849i | −0.285417 | + | 0.0764773i | ||||
\(944\) | −39.3508 | −1.28076 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −30.9259 | −1.00549 | ||||||||
\(947\) | −11.1426 | + | 2.98564i | −0.362085 | + | 0.0970204i | −0.435275 | − | 0.900298i | \(-0.643349\pi\) |
0.0731898 | + | 0.997318i | \(0.476682\pi\) | |||||||
\(948\) | 128.610 | − | 30.9359i | 4.17706 | − | 1.00475i | ||||
\(949\) | −22.6641 | + | 13.0851i | −0.735708 | + | 0.424761i | ||||
\(950\) | −16.5151 | + | 13.5835i | −0.535819 | + | 0.440708i | ||||
\(951\) | −9.25764 | + | 5.03172i | −0.300199 | + | 0.163165i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −38.6159 | + | 38.6159i | −1.25089 | + | 1.25089i | −0.295569 | + | 0.955321i | \(0.595509\pi\) |
−0.955321 | + | 0.295569i | \(0.904491\pi\) | |||||||
\(954\) | −27.2494 | + | 13.9142i | −0.882232 | + | 0.450490i | ||||
\(955\) | 28.7093 | + | 1.39481i | 0.929012 | + | 0.0451350i | ||||
\(956\) | −45.9848 | + | 26.5494i | −1.48726 | + | 0.858668i | ||||
\(957\) | −17.5722 | + | 16.6900i | −0.568028 | + | 0.539510i | ||||
\(958\) | −40.9545 | − | 40.9545i | −1.32318 | − | 1.32318i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −0.860463 | − | 0.998844i | −0.0277713 | − | 0.0322375i | ||||
\(961\) | 11.7233 | − | 20.3054i | 0.378172 | − | 0.655012i | ||||
\(962\) | −1.28722 | + | 4.80396i | −0.0415015 | + | 0.154886i | ||||
\(963\) | 8.87663 | − | 8.00659i | 0.286045 | − | 0.258009i | ||||
\(964\) | −70.0753 | − | 40.4580i | −2.25697 | − | 1.30306i | ||||
\(965\) | −5.39535 | − | 24.9155i | −0.173683 | − | 0.802058i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −18.6836 | + | 18.6836i | −0.600824 | + | 0.600824i | −0.940531 | − | 0.339707i | \(-0.889672\pi\) |
0.339707 | + | 0.940531i | \(0.389672\pi\) | |||||||
\(968\) | −13.9346 | − | 52.0047i | −0.447876 | − | 1.67150i | ||||
\(969\) | 7.75247 | − | 12.6633i | 0.249045 | − | 0.406803i | ||||
\(970\) | −1.71702 | + | 35.3414i | −0.0551302 | + | 1.13474i | ||||
\(971\) | −49.7947 | − | 28.7490i | −1.59799 | − | 0.922599i | −0.991874 | − | 0.127221i | \(-0.959394\pi\) |
−0.606114 | − | 0.795378i | \(-0.707272\pi\) | |||||||
\(972\) | −9.26098 | − | 69.1776i | −0.297046 | − | 2.21887i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −41.3622 | −1.32533 | ||||||||
\(975\) | −25.0215 | + | 10.6015i | −0.801329 | + | 0.339518i | ||||
\(976\) | −26.2635 | − | 45.4897i | −0.840674 | − | 1.45609i | ||||
\(977\) | 0.763219 | − | 2.84837i | 0.0244175 | − | 0.0911275i | −0.952642 | − | 0.304095i | \(-0.901646\pi\) |
0.977059 | + | 0.212967i | \(0.0683127\pi\) | |||||||
\(978\) | 29.8588 | − | 28.3597i | 0.954779 | − | 0.906843i | ||||
\(979\) | 14.7501i | 0.471415i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 10.4797 | − | 16.1681i | 0.334590 | − | 0.516209i | ||||
\(982\) | −0.198752 | − | 0.741751i | −0.00634242 | − | 0.0236702i | ||||
\(983\) | −15.8515 | − | 4.24741i | −0.505585 | − | 0.135471i | −0.00299438 | − | 0.999996i | \(-0.500953\pi\) |
−0.502591 | + | 0.864524i | \(0.667620\pi\) | |||||||
\(984\) | 60.0079 | + | 36.7369i | 1.91298 | + | 1.17113i | ||||
\(985\) | −56.4637 | − | 18.1084i | −1.79908 | − | 0.576980i | ||||
\(986\) | 115.806i | 3.68802i | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −16.6937 | − | 16.6937i | −0.531097 | − | 0.531097i | ||||
\(989\) | −5.45461 | + | 9.44766i | −0.173446 | + | 0.300418i | ||||
\(990\) | 4.31358 | + | 26.4324i | 0.137094 | + | 0.840078i | ||||
\(991\) | 3.17062 | + | 5.49168i | 0.100718 | + | 0.174449i | 0.911981 | − | 0.410233i | \(-0.134553\pi\) |
−0.811263 | + | 0.584682i | \(0.801219\pi\) | |||||||
\(992\) | −14.4396 | + | 3.86909i | −0.458459 | + | 0.122844i | ||||
\(993\) | −16.3376 | + | 55.2432i | −0.518457 | + | 1.75309i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 5.09371 | − | 7.90951i | 0.161481 | − | 0.250748i | ||||
\(996\) | 0.907077 | − | 35.2272i | 0.0287418 | − | 1.11622i | ||||
\(997\) | 2.59062 | + | 0.694156i | 0.0820459 | + | 0.0219841i | 0.299608 | − | 0.954062i | \(-0.403144\pi\) |
−0.217563 | + | 0.976046i | \(0.569811\pi\) | |||||||
\(998\) | −49.7093 | − | 13.3196i | −1.57352 | − | 0.421624i | ||||
\(999\) | 2.66925 | + | 1.82938i | 0.0844512 | + | 0.0578791i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))