Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [983,2,Mod(2,983)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(983, base_ring=CyclotomicField(982))
chi = DirichletCharacter(H, H._module([674]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("983.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 983 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 983.c (of order \(491\), degree \(490\), 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: | \(7.84929451869\) |
Analytic rank: | \(0\) |
Dimension: | \(39690\) |
Relative dimension: | \(81\) over \(\Q(\zeta_{491})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{491}]$ |
Embedding invariants
Embedding label | 2.10 | ||
Character | \(\chi\) | \(=\) | 983.2 |
Dual form | 983.2.c.a.492.10 |
$q$-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 \(\left(\mathbb{Z}/983\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{337}{491}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.696245 | + | 2.07926i | −0.492319 | + | 1.47026i | 0.352809 | + | 0.935695i | \(0.385227\pi\) |
−0.845128 | + | 0.534563i | \(0.820476\pi\) | |||||||
\(3\) | −2.48076 | − | 1.39373i | −1.43227 | − | 0.804669i | −0.436782 | − | 0.899568i | \(-0.643882\pi\) |
−0.995487 | + | 0.0948986i | \(0.969747\pi\) | |||||||
\(4\) | −2.24185 | − | 1.69098i | −1.12093 | − | 0.845490i | ||||
\(5\) | 1.99175 | − | 3.00421i | 0.890737 | − | 1.34352i | −0.0479847 | − | 0.998848i | \(-0.515280\pi\) |
0.938722 | − | 0.344676i | \(-0.112011\pi\) | |||||||
\(6\) | 4.62514 | − | 4.18777i | 1.88821 | − | 1.70965i | ||||
\(7\) | 1.53695 | − | 3.39151i | 0.580911 | − | 1.28187i | −0.356711 | − | 0.934215i | \(-0.616102\pi\) |
0.937622 | − | 0.347656i | \(-0.113022\pi\) | |||||||
\(8\) | 1.46097 | − | 1.00260i | 0.516529 | − | 0.354474i | ||||
\(9\) | 2.65117 | + | 4.35284i | 0.883723 | + | 1.45095i | ||||
\(10\) | 4.85979 | + | 6.23303i | 1.53680 | + | 1.97106i | ||||
\(11\) | −1.68953 | − | 0.108250i | −0.509412 | − | 0.0326386i | −0.192884 | − | 0.981222i | \(-0.561784\pi\) |
−0.316528 | + | 0.948583i | \(0.602517\pi\) | |||||||
\(12\) | 3.20473 | + | 7.31945i | 0.925126 | + | 2.11294i | ||||
\(13\) | 3.96988 | + | 4.58687i | 1.10105 | + | 1.27217i | 0.959338 | + | 0.282260i | \(0.0910840\pi\) |
0.141707 | + | 0.989909i | \(0.454741\pi\) | |||||||
\(14\) | 5.98174 | + | 5.55703i | 1.59869 | + | 1.48518i | ||||
\(15\) | −9.12811 | + | 4.67678i | −2.35687 | + | 1.20754i | ||||
\(16\) | −0.475549 | − | 1.66424i | −0.118887 | − | 0.416060i | ||||
\(17\) | 2.61959 | − | 1.15696i | 0.635344 | − | 0.280603i | −0.0611909 | − | 0.998126i | \(-0.519490\pi\) |
0.696535 | + | 0.717523i | \(0.254724\pi\) | |||||||
\(18\) | −10.8965 | + | 2.48183i | −2.56834 | + | 0.584972i | ||||
\(19\) | 5.19566 | + | 3.97138i | 1.19197 | + | 0.911098i | 0.997559 | − | 0.0698232i | \(-0.0222435\pi\) |
0.194406 | + | 0.980921i | \(0.437722\pi\) | |||||||
\(20\) | −9.54526 | + | 3.36699i | −2.13439 | + | 0.752881i | ||||
\(21\) | −8.53964 | + | 6.27145i | −1.86350 | + | 1.36854i | ||||
\(22\) | 1.40141 | − | 3.43760i | 0.298781 | − | 0.732899i | ||||
\(23\) | −0.368058 | − | 3.47333i | −0.0767454 | − | 0.724239i | −0.964529 | − | 0.263978i | \(-0.914965\pi\) |
0.887783 | − | 0.460262i | \(-0.152244\pi\) | |||||||
\(24\) | −5.02166 | + | 0.451033i | −1.02504 | + | 0.0920666i | ||||
\(25\) | −3.11161 | − | 7.36176i | −0.622322 | − | 1.47235i | ||||
\(26\) | −12.3013 | + | 5.06082i | −2.41248 | + | 0.992508i | ||||
\(27\) | −0.209904 | − | 5.96226i | −0.0403961 | − | 1.14744i | ||||
\(28\) | −9.18058 | + | 5.00431i | −1.73497 | + | 0.945726i | ||||
\(29\) | 4.78299 | − | 6.92206i | 0.888178 | − | 1.28539i | −0.0695084 | − | 0.997581i | \(-0.522143\pi\) |
0.957687 | − | 0.287813i | \(-0.0929282\pi\) | |||||||
\(30\) | −3.36885 | − | 22.2359i | −0.615064 | − | 4.05970i | ||||
\(31\) | 2.90512 | + | 4.32158i | 0.521774 | + | 0.776178i | 0.994467 | − | 0.105049i | \(-0.0335000\pi\) |
−0.472693 | + | 0.881227i | \(0.656718\pi\) | |||||||
\(32\) | 7.33174 | + | 0.328597i | 1.29608 | + | 0.0580883i | ||||
\(33\) | 4.04045 | + | 2.62329i | 0.703352 | + | 0.456655i | ||||
\(34\) | 0.581738 | + | 6.25234i | 0.0997672 | + | 1.07227i | ||||
\(35\) | −7.12761 | − | 11.3723i | −1.20479 | − | 1.92228i | ||||
\(36\) | 1.41704 | − | 14.2415i | 0.236174 | − | 2.37358i | ||||
\(37\) | −0.942967 | + | 0.233898i | −0.155023 | + | 0.0384526i | −0.317491 | − | 0.948261i | \(-0.602840\pi\) |
0.162469 | + | 0.986714i | \(0.448054\pi\) | |||||||
\(38\) | −11.8750 | + | 8.03806i | −1.92638 | + | 1.30395i | ||||
\(39\) | −3.45547 | − | 16.9119i | −0.553318 | − | 2.70806i | ||||
\(40\) | −0.102158 | − | 6.38598i | −0.0161526 | − | 1.00971i | ||||
\(41\) | 11.9286 | + | 1.07139i | 1.86293 | + | 0.167324i | 0.963142 | − | 0.268995i | \(-0.0866915\pi\) |
0.899792 | + | 0.436319i | \(0.143718\pi\) | |||||||
\(42\) | −7.09429 | − | 22.1226i | −1.09467 | − | 3.41359i | ||||
\(43\) | −1.14370 | − | 1.56783i | −0.174412 | − | 0.239092i | 0.711787 | − | 0.702395i | \(-0.247886\pi\) |
−0.886200 | + | 0.463303i | \(0.846664\pi\) | |||||||
\(44\) | 3.60462 | + | 3.09964i | 0.543417 | + | 0.467288i | ||||
\(45\) | 18.3573 | + | 0.705086i | 2.73655 | + | 0.105108i | ||||
\(46\) | 7.47821 | + | 1.65300i | 1.10260 | + | 0.243722i | ||||
\(47\) | −2.01340 | − | 6.71943i | −0.293685 | − | 0.980129i | −0.969916 | − | 0.243440i | \(-0.921724\pi\) |
0.676231 | − | 0.736689i | \(-0.263612\pi\) | |||||||
\(48\) | −1.13977 | + | 4.79137i | −0.164512 | + | 0.691575i | ||||
\(49\) | −4.52542 | − | 5.16164i | −0.646489 | − | 0.737378i | ||||
\(50\) | 17.4735 | − | 1.34426i | 2.47112 | − | 0.190107i | ||||
\(51\) | −8.11106 | − | 0.780861i | −1.13578 | − | 0.109342i | ||||
\(52\) | −1.14356 | − | 16.9961i | −0.158584 | − | 2.35693i | ||||
\(53\) | −1.57986 | + | 1.44896i | −0.217010 | + | 0.199030i | −0.777057 | − | 0.629431i | \(-0.783288\pi\) |
0.560047 | + | 0.828461i | \(0.310783\pi\) | |||||||
\(54\) | 12.5432 | + | 3.71475i | 1.70692 | + | 0.505513i | ||||
\(55\) | −3.69032 | + | 4.86010i | −0.497603 | + | 0.655335i | ||||
\(56\) | −1.15492 | − | 6.49583i | −0.154332 | − | 0.868042i | ||||
\(57\) | −7.35416 | − | 17.0934i | −0.974082 | − | 2.26407i | ||||
\(58\) | 11.0626 | + | 14.7645i | 1.45260 | + | 1.93868i | ||||
\(59\) | −10.1372 | − | 0.779872i | −1.31975 | − | 0.101531i | −0.602375 | − | 0.798213i | \(-0.705779\pi\) |
−0.717379 | + | 0.696683i | \(0.754659\pi\) | |||||||
\(60\) | 28.3722 | + | 4.95080i | 3.66283 | + | 0.639146i | ||||
\(61\) | −7.22504 | − | 6.13289i | −0.925072 | − | 0.785237i | 0.0518892 | − | 0.998653i | \(-0.483476\pi\) |
−0.976961 | + | 0.213416i | \(0.931541\pi\) | |||||||
\(62\) | −11.0084 | + | 3.03162i | −1.39806 | + | 0.385016i | ||||
\(63\) | 18.8374 | − | 2.30139i | 2.37329 | − | 0.289948i | ||||
\(64\) | −4.54288 | + | 11.7857i | −0.567860 | + | 1.47322i | ||||
\(65\) | 21.6869 | − | 2.79046i | 2.68993 | − | 0.346114i | ||||
\(66\) | −8.26763 | + | 6.57469i | −1.01768 | + | 0.809289i | ||||
\(67\) | −5.31088 | + | 4.56686i | −0.648827 | + | 0.557931i | −0.913719 | − | 0.406347i | \(-0.866802\pi\) |
0.264892 | + | 0.964278i | \(0.414664\pi\) | |||||||
\(68\) | −7.82912 | − | 1.83595i | −0.949421 | − | 0.222642i | ||||
\(69\) | −3.92781 | + | 9.12948i | −0.472853 | + | 1.09906i | ||||
\(70\) | 28.6086 | − | 6.90221i | 3.41938 | − | 0.824972i | ||||
\(71\) | −2.38566 | + | 1.94751i | −0.283126 | + | 0.231127i | −0.763296 | − | 0.646049i | \(-0.776420\pi\) |
0.480170 | + | 0.877175i | \(0.340575\pi\) | |||||||
\(72\) | 8.23744 | + | 3.70128i | 0.970791 | + | 0.436200i | ||||
\(73\) | −5.98515 | − | 4.27864i | −0.700508 | − | 0.500777i | 0.174640 | − | 0.984632i | \(-0.444124\pi\) |
−0.875148 | + | 0.483856i | \(0.839236\pi\) | |||||||
\(74\) | 0.170201 | − | 2.12352i | 0.0197855 | − | 0.246855i | ||||
\(75\) | −2.54112 | + | 22.5995i | −0.293424 | + | 2.60957i | ||||
\(76\) | −4.93235 | − | 17.6890i | −0.565779 | − | 2.02907i | ||||
\(77\) | −2.96384 | + | 5.56368i | −0.337761 | + | 0.634040i | ||||
\(78\) | 37.5700 | + | 4.58997i | 4.25396 | + | 0.519712i | ||||
\(79\) | −12.2282 | + | 1.81264i | −1.37579 | + | 0.203938i | −0.793264 | − | 0.608878i | \(-0.791620\pi\) |
−0.582521 | + | 0.812816i | \(0.697934\pi\) | |||||||
\(80\) | −5.94691 | − | 1.88610i | −0.664884 | − | 0.210872i | ||||
\(81\) | −0.773557 | + | 1.49799i | −0.0859508 | + | 0.166444i | ||||
\(82\) | −10.5329 | + | 24.0567i | −1.16317 | + | 2.65662i | ||||
\(83\) | 14.9172 | − | 4.62626i | 1.63738 | − | 0.507798i | 0.666126 | − | 0.745839i | \(-0.267951\pi\) |
0.971255 | + | 0.238041i | \(0.0765054\pi\) | |||||||
\(84\) | 29.7495 | + | 0.380716i | 3.24593 | + | 0.0415396i | ||||
\(85\) | 1.74182 | − | 10.1742i | 0.188927 | − | 1.10354i | ||||
\(86\) | 4.05622 | − | 1.28645i | 0.437393 | − | 0.138722i | ||||
\(87\) | −21.5129 | + | 10.5058i | −2.30643 | + | 1.12634i | ||||
\(88\) | −2.57688 | + | 1.53578i | −0.274696 | + | 0.163715i | ||||
\(89\) | 6.07593 | + | 4.00033i | 0.644047 | + | 0.424034i | 0.829413 | − | 0.558636i | \(-0.188675\pi\) |
−0.185366 | + | 0.982670i | \(0.559347\pi\) | |||||||
\(90\) | −14.2472 | + | 37.6787i | −1.50179 | + | 3.97169i | ||||
\(91\) | 21.6579 | − | 6.41411i | 2.27036 | − | 0.672381i | ||||
\(92\) | −5.04820 | + | 8.40906i | −0.526311 | + | 0.876706i | ||||
\(93\) | −1.18380 | − | 14.7697i | −0.122754 | − | 1.53155i | ||||
\(94\) | 15.3733 | + | 0.491986i | 1.58563 | + | 0.0507445i | ||||
\(95\) | 22.2793 | − | 7.69886i | 2.28581 | − | 0.789886i | ||||
\(96\) | −17.7303 | − | 11.0336i | −1.80959 | − | 1.12611i | ||||
\(97\) | 2.88782 | − | 0.147948i | 0.293214 | − | 0.0150218i | 0.0959967 | − | 0.995382i | \(-0.469396\pi\) |
0.197217 | + | 0.980360i | \(0.436810\pi\) | |||||||
\(98\) | 13.8832 | − | 5.81576i | 1.40241 | − | 0.587481i | ||||
\(99\) | −4.00803 | − | 7.64124i | −0.402822 | − | 0.767973i | ||||
\(100\) | −5.47283 | + | 21.7656i | −0.547283 | + | 2.17656i | ||||
\(101\) | 10.8434 | + | 7.85700i | 1.07896 | + | 0.781801i | 0.977054 | − | 0.212994i | \(-0.0683214\pi\) |
0.101903 | + | 0.994794i | \(0.467507\pi\) | |||||||
\(102\) | 7.27090 | − | 16.3213i | 0.719926 | − | 1.61605i | ||||
\(103\) | −1.60007 | − | 0.622642i | −0.157659 | − | 0.0613507i | 0.282516 | − | 0.959263i | \(-0.408831\pi\) |
−0.440175 | + | 0.897912i | \(0.645084\pi\) | |||||||
\(104\) | 10.3987 | + | 2.72105i | 1.01967 | + | 0.266821i | ||||
\(105\) | 1.83195 | + | 38.1460i | 0.178780 | + | 3.72267i | ||||
\(106\) | −1.91280 | − | 4.29376i | −0.185788 | − | 0.417047i | ||||
\(107\) | 1.66401 | − | 7.88642i | 0.160866 | − | 0.762409i | −0.820711 | − | 0.571343i | \(-0.806423\pi\) |
0.981577 | − | 0.191066i | \(-0.0611945\pi\) | |||||||
\(108\) | −9.61149 | + | 13.7214i | −0.924866 | + | 1.32035i | ||||
\(109\) | −0.00849477 | − | 0.0100727i | −0.000813651 | − | 0.000964786i | 0.764036 | − | 0.645174i | \(-0.223215\pi\) |
−0.764849 | + | 0.644209i | \(0.777187\pi\) | |||||||
\(110\) | −7.53604 | − | 11.0570i | −0.718533 | − | 1.05424i | ||||
\(111\) | 2.66527 | + | 0.733994i | 0.252976 | + | 0.0696676i | ||||
\(112\) | −6.37518 | − | 0.945018i | −0.602398 | − | 0.0892958i | ||||
\(113\) | 3.34067 | + | 1.63141i | 0.314264 | + | 0.153471i | 0.589189 | − | 0.807995i | \(-0.299447\pi\) |
−0.274925 | + | 0.961466i | \(0.588653\pi\) | |||||||
\(114\) | 40.6619 | − | 3.39002i | 3.80833 | − | 0.317505i | ||||
\(115\) | −11.1677 | − | 5.81227i | −1.04139 | − | 0.541997i | ||||
\(116\) | −22.4278 | + | 7.43029i | −2.08237 | + | 0.689885i | ||||
\(117\) | −9.44109 | + | 29.4408i | −0.872829 | + | 2.72180i | ||||
\(118\) | 8.67955 | − | 20.5349i | 0.799017 | − | 1.89039i | ||||
\(119\) | 0.102337 | − | 10.6626i | 0.00938125 | − | 0.977434i | ||||
\(120\) | −8.64689 | + | 15.9845i | −0.789350 | + | 1.45918i | ||||
\(121\) | −8.06727 | − | 1.03802i | −0.733388 | − | 0.0943652i | ||||
\(122\) | 17.7823 | − | 10.7528i | 1.60993 | − | 0.973508i | ||||
\(123\) | −28.0988 | − | 19.2831i | −2.53358 | − | 1.73870i | ||||
\(124\) | 0.794864 | − | 14.6008i | 0.0713809 | − | 1.31119i | ||||
\(125\) | −10.6008 | − | 1.98988i | −0.948161 | − | 0.177981i | ||||
\(126\) | −8.33026 | + | 40.7702i | −0.742119 | + | 3.63210i | ||||
\(127\) | −0.237328 | − | 0.571667i | −0.0210595 | − | 0.0507272i | 0.912695 | − | 0.408641i | \(-0.133997\pi\) |
−0.933755 | + | 0.357914i | \(0.883488\pi\) | |||||||
\(128\) | −10.0317 | − | 8.29681i | −0.886689 | − | 0.733342i | ||||
\(129\) | 0.652118 | + | 5.48341i | 0.0574158 | + | 0.482788i | ||||
\(130\) | −9.29731 | + | 47.0356i | −0.815428 | + | 4.12529i | ||||
\(131\) | 7.40315 | + | 3.79300i | 0.646817 | + | 0.331396i | 0.748221 | − | 0.663449i | \(-0.230908\pi\) |
−0.101405 | + | 0.994845i | \(0.532334\pi\) | |||||||
\(132\) | −4.62216 | − | 12.7133i | −0.402307 | − | 1.10655i | ||||
\(133\) | 21.4544 | − | 11.5173i | 1.86034 | − | 0.998678i | ||||
\(134\) | −5.79802 | − | 14.2224i | −0.500873 | − | 1.22862i | ||||
\(135\) | −18.3300 | − | 11.2447i | −1.57759 | − | 0.967792i | ||||
\(136\) | 2.66716 | − | 4.31669i | 0.228707 | − | 0.370153i | ||||
\(137\) | −2.15525 | − | 3.80766i | −0.184136 | − | 0.325310i | 0.762856 | − | 0.646568i | \(-0.223797\pi\) |
−0.946992 | + | 0.321258i | \(0.895894\pi\) | |||||||
\(138\) | −16.2478 | − | 14.5233i | −1.38311 | − | 1.23630i | ||||
\(139\) | 0.872135 | − | 1.66271i | 0.0739736 | − | 0.141029i | −0.845772 | − | 0.533545i | \(-0.820860\pi\) |
0.919745 | + | 0.392516i | \(0.128395\pi\) | |||||||
\(140\) | −3.25138 | + | 37.5477i | −0.274792 | + | 3.17336i | ||||
\(141\) | −4.37029 | + | 19.4754i | −0.368045 | + | 1.64013i | ||||
\(142\) | −2.38837 | − | 6.31636i | −0.200427 | − | 0.530057i | ||||
\(143\) | −6.21069 | − | 8.17939i | −0.519364 | − | 0.683995i | ||||
\(144\) | 5.98341 | − | 6.48217i | 0.498618 | − | 0.540181i | ||||
\(145\) | −11.2688 | − | 28.1561i | −0.935826 | − | 2.33824i | ||||
\(146\) | 13.0635 | − | 9.46569i | 1.08115 | − | 0.783386i | ||||
\(147\) | 4.03257 | + | 19.1120i | 0.332601 | + | 1.57633i | ||||
\(148\) | 2.50951 | + | 1.07017i | 0.206280 | + | 0.0879678i | ||||
\(149\) | 1.72563 | + | 6.68183i | 0.141369 | + | 0.547397i | 0.999427 | + | 0.0338441i | \(0.0107750\pi\) |
−0.858058 | + | 0.513553i | \(0.828329\pi\) | |||||||
\(150\) | −45.2210 | − | 21.0185i | −3.69228 | − | 1.71615i | ||||
\(151\) | −21.0722 | + | 7.58493i | −1.71483 | + | 0.617253i | −0.996887 | − | 0.0788489i | \(-0.974876\pi\) |
−0.717943 | + | 0.696102i | \(0.754916\pi\) | |||||||
\(152\) | 11.5724 | + | 0.592872i | 0.938646 | + | 0.0480883i | ||||
\(153\) | 11.9810 | + | 8.33537i | 0.968609 | + | 0.673875i | ||||
\(154\) | −9.50478 | − | 10.0363i | −0.765917 | − | 0.808747i | ||||
\(155\) | 18.7692 | − | 0.120094i | 1.50758 | − | 0.00964615i | ||||
\(156\) | −20.8510 | + | 43.7570i | −1.66941 | + | 3.50336i | ||||
\(157\) | −13.1533 | − | 14.2497i | −1.04975 | − | 1.13725i | −0.990289 | − | 0.139023i | \(-0.955604\pi\) |
−0.0594600 | − | 0.998231i | \(-0.518938\pi\) | |||||||
\(158\) | 4.74491 | − | 26.6877i | 0.377484 | − | 2.12316i | ||||
\(159\) | 5.93870 | − | 1.39264i | 0.470970 | − | 0.110444i | ||||
\(160\) | 15.5901 | − | 21.3716i | 1.23251 | − | 1.68957i | ||||
\(161\) | −12.3455 | − | 4.09005i | −0.972963 | − | 0.322341i | ||||
\(162\) | −2.57614 | − | 2.65140i | −0.202400 | − | 0.208313i | ||||
\(163\) | 16.7656 | − | 4.27267i | 1.31318 | − | 0.334662i | 0.474969 | − | 0.880003i | \(-0.342459\pi\) |
0.838214 | + | 0.545341i | \(0.183600\pi\) | |||||||
\(164\) | −24.9304 | − | 22.5729i | −1.94674 | − | 1.76265i | ||||
\(165\) | 15.9285 | − | 6.91344i | 1.24003 | − | 0.538211i | ||||
\(166\) | −0.766859 | + | 34.2378i | −0.0595198 | + | 2.65737i | ||||
\(167\) | −3.18442 | − | 17.2689i | −0.246418 | − | 1.33631i | −0.844792 | − | 0.535094i | \(-0.820276\pi\) |
0.598374 | − | 0.801217i | \(-0.295814\pi\) | |||||||
\(168\) | −6.18834 | + | 17.7242i | −0.477441 | + | 1.36745i | ||||
\(169\) | −3.41439 | + | 23.5531i | −0.262646 | + | 1.81178i | ||||
\(170\) | 19.9420 | + | 10.7054i | 1.52948 | + | 0.821068i | ||||
\(171\) | −3.51224 | + | 33.1447i | −0.268587 | + | 2.53464i | ||||
\(172\) | −0.0871660 | + | 5.44881i | −0.00664634 | + | 0.415468i | ||||
\(173\) | −11.3130 | + | 2.12358i | −0.860112 | + | 0.161453i | −0.595946 | − | 0.803024i | \(-0.703223\pi\) |
−0.264166 | + | 0.964477i | \(0.585097\pi\) | |||||||
\(174\) | −6.86604 | − | 52.0456i | −0.520513 | − | 3.94556i | ||||
\(175\) | −29.7499 | − | 0.761567i | −2.24888 | − | 0.0575691i | ||||
\(176\) | 0.623300 | + | 2.86326i | 0.0469830 | + | 0.215826i | ||||
\(177\) | 24.0611 | + | 16.0632i | 1.80854 | + | 1.20738i | ||||
\(178\) | −12.5481 | + | 9.84822i | −0.940516 | + | 0.738156i | ||||
\(179\) | −15.0085 | − | 7.21081i | −1.12179 | − | 0.538961i | −0.221893 | − | 0.975071i | \(-0.571224\pi\) |
−0.899894 | + | 0.436110i | \(0.856356\pi\) | |||||||
\(180\) | −39.9621 | − | 32.6226i | −2.97860 | − | 2.43154i | ||||
\(181\) | 10.2081 | + | 20.4043i | 0.758762 | + | 1.51664i | 0.853474 | + | 0.521135i | \(0.174491\pi\) |
−0.0947122 | + | 0.995505i | \(0.530193\pi\) | |||||||
\(182\) | −1.74261 | + | 49.4982i | −0.129171 | + | 3.66905i | ||||
\(183\) | 9.37603 | + | 25.2840i | 0.693096 | + | 1.86905i | ||||
\(184\) | −4.02009 | − | 4.70540i | −0.296365 | − | 0.346887i | ||||
\(185\) | −1.17547 | + | 3.29874i | −0.0864225 | + | 0.242528i | ||||
\(186\) | 31.5343 | + | 7.82193i | 2.31221 | + | 0.573532i | ||||
\(187\) | −4.55111 | + | 1.67114i | −0.332810 | + | 0.122206i | ||||
\(188\) | −6.84868 | + | 18.4686i | −0.499491 | + | 1.34696i | ||||
\(189\) | −20.5437 | − | 8.45178i | −1.49433 | − | 0.614777i | ||||
\(190\) | 0.496062 | + | 51.6848i | 0.0359881 | + | 3.74961i | ||||
\(191\) | −12.3011 | − | 6.50250i | −0.890073 | − | 0.470504i | −0.0412305 | − | 0.999150i | \(-0.513128\pi\) |
−0.848843 | + | 0.528645i | \(0.822700\pi\) | |||||||
\(192\) | 27.6959 | − | 22.9061i | 1.99878 | − | 1.65311i | ||||
\(193\) | 2.84175 | + | 2.70855i | 0.204554 | + | 0.194966i | 0.785294 | − | 0.619123i | \(-0.212512\pi\) |
−0.580740 | + | 0.814089i | \(0.697237\pi\) | |||||||
\(194\) | −1.70301 | + | 6.10754i | −0.122269 | + | 0.438496i | ||||
\(195\) | −57.6892 | − | 23.3032i | −4.13121 | − | 1.66878i | ||||
\(196\) | 1.41708 | + | 19.2240i | 0.101220 | + | 1.37314i | ||||
\(197\) | 2.01387 | − | 0.540765i | 0.143482 | − | 0.0385279i | −0.186877 | − | 0.982383i | \(-0.559836\pi\) |
0.330359 | + | 0.943855i | \(0.392830\pi\) | |||||||
\(198\) | 18.6787 | − | 3.01357i | 1.32744 | − | 0.214165i | ||||
\(199\) | −5.64779 | + | 8.76010i | −0.400361 | + | 0.620987i | −0.981191 | − | 0.193038i | \(-0.938166\pi\) |
0.580830 | + | 0.814025i | \(0.302728\pi\) | |||||||
\(200\) | −11.9269 | − | 7.63557i | −0.843358 | − | 0.539916i | ||||
\(201\) | 19.5400 | − | 3.92738i | 1.37824 | − | 0.277016i | ||||
\(202\) | −23.8864 | + | 17.0758i | −1.68064 | + | 1.20145i | ||||
\(203\) | −16.1251 | − | 26.8604i | −1.13176 | − | 1.88523i | ||||
\(204\) | 16.8634 | + | 15.4662i | 1.18067 | + | 1.08285i | ||||
\(205\) | 26.9775 | − | 33.7021i | 1.88419 | − | 2.35386i | ||||
\(206\) | 2.40867 | − | 2.89345i | 0.167820 | − | 0.201596i | ||||
\(207\) | 14.1431 | − | 10.8105i | 0.983011 | − | 0.751380i | ||||
\(208\) | 5.74578 | − | 8.78811i | 0.398398 | − | 0.609346i | ||||
\(209\) | −8.34831 | − | 7.27220i | −0.577465 | − | 0.503028i | ||||
\(210\) | −80.5910 | − | 22.7499i | −5.56131 | − | 1.56989i | ||||
\(211\) | 0.996195 | + | 6.05143i | 0.0685809 | + | 0.416598i | 0.998773 | + | 0.0495244i | \(0.0157705\pi\) |
−0.930192 | + | 0.367073i | \(0.880360\pi\) | |||||||
\(212\) | 5.99197 | − | 0.576853i | 0.411530 | − | 0.0396184i | ||||
\(213\) | 8.63256 | − | 1.50634i | 0.591493 | − | 0.103213i | ||||
\(214\) | 15.2394 | + | 8.95078i | 1.04174 | + | 0.611863i | ||||
\(215\) | −6.98805 | + | 0.313194i | −0.476581 | + | 0.0213596i | ||||
\(216\) | −6.28445 | − | 8.50021i | −0.427603 | − | 0.578366i | ||||
\(217\) | 19.1217 | − | 3.21070i | 1.29806 | − | 0.217957i | ||||
\(218\) | 0.0268581 | − | 0.0106498i | 0.00181906 | − | 0.000721295i | ||||
\(219\) | 8.88446 | + | 18.9559i | 0.600356 | + | 1.28092i | ||||
\(220\) | 16.4915 | − | 4.65535i | 1.11186 | − | 0.313864i | ||||
\(221\) | 15.7063 | + | 7.42274i | 1.05652 | + | 0.499308i | ||||
\(222\) | −3.38184 | + | 5.03074i | −0.226974 | + | 0.337641i | ||||
\(223\) | 15.5503 | − | 21.0329i | 1.04132 | − | 1.40847i | 0.132550 | − | 0.991176i | \(-0.457683\pi\) |
0.908772 | − | 0.417294i | \(-0.137021\pi\) | |||||||
\(224\) | 12.3829 | − | 24.3606i | 0.827369 | − | 1.62766i | ||||
\(225\) | 23.7952 | − | 33.0616i | 1.58634 | − | 2.20411i | ||||
\(226\) | −5.71806 | + | 5.81027i | −0.380360 | + | 0.386493i | ||||
\(227\) | −7.02562 | − | 11.8745i | −0.466307 | − | 0.788136i | 0.531974 | − | 0.846761i | \(-0.321451\pi\) |
−0.998280 | + | 0.0586250i | \(0.981328\pi\) | |||||||
\(228\) | −12.4177 | + | 50.7566i | −0.822380 | + | 3.36143i | ||||
\(229\) | −1.71641 | + | 7.88470i | −0.113424 | + | 0.521035i | 0.885034 | + | 0.465526i | \(0.154135\pi\) |
−0.998458 | + | 0.0555099i | \(0.982322\pi\) | |||||||
\(230\) | 19.8607 | − | 19.1738i | 1.30957 | − | 1.26428i | ||||
\(231\) | 15.1068 | − | 9.67137i | 0.993958 | − | 0.636330i | ||||
\(232\) | 0.0476946 | − | 14.9083i | 0.00313130 | − | 0.978780i | ||||
\(233\) | 19.0015 | − | 11.6567i | 1.24483 | − | 0.763656i | 0.265148 | − | 0.964208i | \(-0.414579\pi\) |
0.979683 | + | 0.200552i | \(0.0642736\pi\) | |||||||
\(234\) | −54.6417 | − | 40.1285i | −3.57204 | − | 2.62328i | ||||
\(235\) | −24.1968 | − | 7.33473i | −1.57842 | − | 0.478465i | ||||
\(236\) | 21.4074 | + | 18.8902i | 1.39350 | + | 1.22965i | ||||
\(237\) | 32.8617 | + | 12.5461i | 2.13460 | + | 0.814958i | ||||
\(238\) | 22.0990 | + | 7.63653i | 1.43246 | + | 0.495003i | ||||
\(239\) | 4.96424 | + | 6.12097i | 0.321110 | + | 0.395933i | 0.911577 | − | 0.411128i | \(-0.134865\pi\) |
−0.590468 | + | 0.807061i | \(0.701057\pi\) | |||||||
\(240\) | 12.1242 | + | 12.9673i | 0.782611 | + | 0.837037i | ||||
\(241\) | −18.5432 | − | 0.118648i | −1.19447 | − | 0.00764276i | −0.592104 | − | 0.805862i | \(-0.701703\pi\) |
−0.602368 | + | 0.798219i | \(0.705776\pi\) | |||||||
\(242\) | 7.77510 | − | 16.0512i | 0.499802 | − | 1.03181i | ||||
\(243\) | −10.9420 | + | 7.20409i | −0.701928 | + | 0.462142i | ||||
\(244\) | 5.82687 | + | 25.9664i | 0.373027 | + | 1.66233i | ||||
\(245\) | −24.5202 | + | 3.31464i | −1.56654 | + | 0.211764i | ||||
\(246\) | 59.6582 | − | 44.9989i | 3.80367 | − | 2.86903i | ||||
\(247\) | 2.40989 | + | 39.5977i | 0.153338 | + | 2.51954i | ||||
\(248\) | 8.57710 | + | 3.40099i | 0.544647 | + | 0.215963i | ||||
\(249\) | −43.4539 | − | 9.31393i | −2.75378 | − | 0.590246i | ||||
\(250\) | 11.5182 | − | 20.6563i | 0.728476 | − | 1.30642i | ||||
\(251\) | 2.53877 | − | 8.47277i | 0.160246 | − | 0.534796i | −0.839721 | − | 0.543019i | \(-0.817281\pi\) |
0.999966 | + | 0.00822235i | \(0.00261728\pi\) | |||||||
\(252\) | −46.1222 | − | 26.6943i | −2.90543 | − | 1.68158i | ||||
\(253\) | 0.245857 | + | 5.90813i | 0.0154569 | + | 0.371441i | ||||
\(254\) | 1.35388 | − | 0.0954465i | 0.0849501 | − | 0.00598885i | ||||
\(255\) | −18.5011 | + | 22.8121i | −1.15858 | + | 1.42855i | ||||
\(256\) | 2.78771 | − | 1.73480i | 0.174232 | − | 0.108425i | ||||
\(257\) | −16.9407 | + | 11.7859i | −1.05673 | + | 0.735184i | −0.965436 | − | 0.260640i | \(-0.916066\pi\) |
−0.0912964 | + | 0.995824i | \(0.529101\pi\) | |||||||
\(258\) | −11.8555 | − | 2.46188i | −0.738090 | − | 0.153270i | ||||
\(259\) | −0.656022 | + | 3.55757i | −0.0407632 | + | 0.221057i | ||||
\(260\) | −53.3374 | − | 30.4164i | −3.30785 | − | 1.88634i | ||||
\(261\) | 42.8111 | + | 2.46802i | 2.64994 | + | 0.152766i | ||||
\(262\) | −13.0410 | + | 12.7522i | −0.805679 | + | 0.787835i | ||||
\(263\) | 2.47330 | + | 10.1095i | 0.152510 | + | 0.623377i | 0.996242 | + | 0.0866123i | \(0.0276041\pi\) |
−0.843732 | + | 0.536764i | \(0.819646\pi\) | |||||||
\(264\) | 8.53307 | − | 0.218438i | 0.525174 | − | 0.0134439i | ||||
\(265\) | 1.20632 | + | 7.63219i | 0.0741035 | + | 0.468842i | ||||
\(266\) | 9.00996 | + | 52.6282i | 0.552436 | + | 3.22684i | ||||
\(267\) | −9.49756 | − | 18.3920i | −0.581241 | − | 1.12557i | ||||
\(268\) | 19.6287 | − | 1.25763i | 1.19901 | − | 0.0768219i | ||||
\(269\) | 18.0518 | + | 20.3259i | 1.10064 | + | 1.23929i | 0.968754 | + | 0.248025i | \(0.0797814\pi\) |
0.131886 | + | 0.991265i | \(0.457897\pi\) | |||||||
\(270\) | 36.1429 | − | 30.2837i | 2.19958 | − | 1.84301i | ||||
\(271\) | 8.86938 | − | 0.170269i | 0.538776 | − | 0.0103431i | 0.250904 | − | 0.968012i | \(-0.419272\pi\) |
0.287872 | + | 0.957669i | \(0.407052\pi\) | |||||||
\(272\) | −3.17120 | − | 3.80944i | −0.192282 | − | 0.230981i | ||||
\(273\) | −62.6676 | − | 14.2733i | −3.79282 | − | 0.863862i | ||||
\(274\) | 9.41770 | − | 1.83027i | 0.568944 | − | 0.110571i | ||||
\(275\) | 4.46025 | + | 12.7747i | 0.268963 | + | 0.770346i | ||||
\(276\) | 24.2433 | − | 13.8251i | 1.45928 | − | 0.832171i | ||||
\(277\) | −7.00211 | + | 3.47513i | −0.420716 | + | 0.208801i | −0.642484 | − | 0.766299i | \(-0.722096\pi\) |
0.221768 | + | 0.975099i | \(0.428817\pi\) | |||||||
\(278\) | 2.84999 | + | 2.97105i | 0.170931 | + | 0.178192i | ||||
\(279\) | −11.1092 | + | 24.1027i | −0.665089 | + | 1.44299i | ||||
\(280\) | −21.8151 | − | 9.46844i | −1.30370 | − | 0.565848i | ||||
\(281\) | −2.04361 | − | 4.50955i | −0.121912 | − | 0.269017i | 0.839894 | − | 0.542751i | \(-0.182617\pi\) |
−0.961806 | + | 0.273734i | \(0.911741\pi\) | |||||||
\(282\) | −37.4517 | − | 22.6466i | −2.23022 | − | 1.34859i | ||||
\(283\) | 17.9784 | + | 14.2970i | 1.06870 | + | 0.849868i | 0.989142 | − | 0.146962i | \(-0.0469494\pi\) |
0.0795615 | + | 0.996830i | \(0.474648\pi\) | |||||||
\(284\) | 8.64150 | − | 0.331911i | 0.512778 | − | 0.0196953i | ||||
\(285\) | −65.9998 | − | 11.9523i | −3.90949 | − | 0.707992i | ||||
\(286\) | 21.3312 | − | 7.21879i | 1.26134 | − | 0.426856i | ||||
\(287\) | 21.9673 | − | 38.8093i | 1.29669 | − | 2.29084i | ||||
\(288\) | 18.0073 | + | 32.7850i | 1.06109 | + | 1.93188i | ||||
\(289\) | −5.92675 | + | 6.50380i | −0.348633 | + | 0.382576i | ||||
\(290\) | 66.3897 | − | 3.82730i | 3.89854 | − | 0.224747i | ||||
\(291\) | −7.37019 | − | 3.65781i | −0.432048 | − | 0.214425i | ||||
\(292\) | 6.18271 | + | 19.7128i | 0.361816 | + | 1.15361i | ||||
\(293\) | 2.75319 | − | 0.720435i | 0.160843 | − | 0.0420883i | −0.171852 | − | 0.985123i | \(-0.554975\pi\) |
0.332695 | + | 0.943035i | \(0.392042\pi\) | |||||||
\(294\) | −42.5465 | − | 4.92188i | −2.48136 | − | 0.287050i | ||||
\(295\) | −22.5337 | + | 28.9011i | −1.31196 | + | 1.68269i | ||||
\(296\) | −1.14314 | + | 1.28714i | −0.0664434 | + | 0.0748134i | ||||
\(297\) | −0.290774 | + | 10.0961i | −0.0168724 | + | 0.585837i | ||||
\(298\) | −15.0947 | − | 1.06415i | −0.874414 | − | 0.0616448i | ||||
\(299\) | 14.4706 | − | 15.4769i | 0.836854 | − | 0.895053i | ||||
\(300\) | 43.9122 | − | 46.3678i | 2.53527 | − | 2.67704i | ||||
\(301\) | −7.07511 | + | 1.46920i | −0.407803 | + | 0.0846832i | ||||
\(302\) | −1.09964 | − | 49.0955i | −0.0632772 | − | 2.82513i | ||||
\(303\) | −15.9493 | − | 34.6041i | −0.916266 | − | 1.98795i | ||||
\(304\) | 4.13855 | − | 10.5354i | 0.237362 | − | 0.604247i | ||||
\(305\) | −32.8150 | + | 9.49039i | −1.87898 | + | 0.543418i | ||||
\(306\) | −25.6731 | + | 19.1082i | −1.46764 | + | 1.09234i | ||||
\(307\) | 17.4677 | − | 17.3009i | 0.996936 | − | 0.987413i | −0.00298498 | − | 0.999996i | \(-0.500950\pi\) |
0.999921 | + | 0.0125822i | \(0.00400514\pi\) | |||||||
\(308\) | 16.0526 | − | 7.46114i | 0.914680 | − | 0.425138i | ||||
\(309\) | 3.10159 | + | 3.77468i | 0.176444 | + | 0.214734i | ||||
\(310\) | −12.8182 | + | 39.1096i | −0.728028 | + | 2.22128i | ||||
\(311\) | −15.0236 | + | 10.0298i | −0.851912 | + | 0.568736i | −0.902845 | − | 0.429966i | \(-0.858526\pi\) |
0.0509338 | + | 0.998702i | \(0.483780\pi\) | |||||||
\(312\) | −22.0042 | − | 21.2432i | −1.24574 | − | 1.20266i | ||||
\(313\) | −15.0670 | − | 3.02835i | −0.851638 | − | 0.171172i | −0.248325 | − | 0.968677i | \(-0.579880\pi\) |
−0.603313 | + | 0.797504i | \(0.706153\pi\) | |||||||
\(314\) | 38.7869 | − | 17.4279i | 2.18887 | − | 0.983511i | ||||
\(315\) | 30.6055 | − | 61.1753i | 1.72442 | − | 3.44684i | ||||
\(316\) | 30.4790 | + | 16.6141i | 1.71458 | + | 0.934614i | ||||
\(317\) | −2.36674 | + | 1.19354i | −0.132929 | + | 0.0670359i | −0.515496 | − | 0.856892i | \(-0.672392\pi\) |
0.382567 | + | 0.923928i | \(0.375040\pi\) | |||||||
\(318\) | −1.23913 | + | 13.3177i | −0.0694867 | + | 0.746821i | ||||
\(319\) | −8.83030 | + | 11.1773i | −0.494402 | + | 0.625807i | ||||
\(320\) | 26.3586 | + | 37.1220i | 1.47349 | + | 2.07518i | ||||
\(321\) | −15.1195 | + | 17.2452i | −0.843890 | + | 0.962531i | ||||
\(322\) | 17.0998 | − | 22.8219i | 0.952933 | − | 1.27181i | ||||
\(323\) | 18.2052 | + | 4.39225i | 1.01297 | + | 0.244391i | ||||
\(324\) | 4.26728 | − | 2.05021i | 0.237071 | − | 0.113901i | ||||
\(325\) | 21.4147 | − | 43.4978i | 1.18788 | − | 2.41283i | ||||
\(326\) | −2.78897 | + | 37.8349i | −0.154467 | + | 2.09548i | ||||
\(327\) | 0.00703495 | + | 0.0368273i | 0.000389034 | + | 0.00203655i | ||||
\(328\) | 18.5015 | − | 10.3944i | 1.02157 | − | 0.573934i | ||||
\(329\) | −25.8835 | − | 3.49893i | −1.42700 | − | 0.192902i | ||||
\(330\) | 3.28473 | + | 37.9329i | 0.180818 | + | 2.08814i | ||||
\(331\) | 29.7667 | + | 12.4695i | 1.63613 | + | 0.685384i | 0.996523 | − | 0.0833200i | \(-0.0265524\pi\) |
0.639604 | + | 0.768704i | \(0.279098\pi\) | |||||||
\(332\) | −41.2652 | − | 14.8534i | −2.26472 | − | 0.815186i | ||||
\(333\) | −3.51808 | − | 3.48448i | −0.192790 | − | 0.190948i | ||||
\(334\) | 38.1238 | + | 5.40217i | 2.08604 | + | 0.295594i | ||||
\(335\) | 3.14189 | + | 25.0510i | 0.171660 | + | 1.36869i | ||||
\(336\) | 14.4982 | + | 11.2296i | 0.790942 | + | 0.612627i | ||||
\(337\) | −7.26251 | + | 11.5876i | −0.395614 | + | 0.631216i | −0.984167 | − | 0.177243i | \(-0.943282\pi\) |
0.588553 | + | 0.808459i | \(0.299698\pi\) | |||||||
\(338\) | −46.5957 | − | 23.4981i | −2.53447 | − | 1.27813i | ||||
\(339\) | −6.01367 | − | 8.70314i | −0.326618 | − | 0.472690i | ||||
\(340\) | −21.1092 | + | 19.8636i | −1.14481 | + | 1.07725i | ||||
\(341\) | −4.44047 | − | 7.61591i | −0.240465 | − | 0.412424i | ||||
\(342\) | −66.4710 | − | 30.3797i | −3.59434 | − | 1.64274i | ||||
\(343\) | 0.482674 | − | 0.146312i | 0.0260619 | − | 0.00790011i | ||||
\(344\) | −3.24282 | − | 1.14387i | −0.174841 | − | 0.0616732i | ||||
\(345\) | 19.6037 | + | 29.9836i | 1.05543 | + | 1.61426i | ||||
\(346\) | 3.46114 | − | 25.0012i | 0.186072 | − | 1.34407i | ||||
\(347\) | 7.05899 | + | 3.11764i | 0.378946 | + | 0.167364i | 0.584719 | − | 0.811236i | \(-0.301205\pi\) |
−0.205772 | + | 0.978600i | \(0.565971\pi\) | |||||||
\(348\) | 65.9939 | + | 12.8255i | 3.53764 | + | 0.687517i | ||||
\(349\) | 0.778180 | + | 5.36802i | 0.0416550 | + | 0.287343i | 0.999999 | + | 0.00172533i | \(0.000549190\pi\) |
−0.958344 | + | 0.285618i | \(0.907801\pi\) | |||||||
\(350\) | 22.2967 | − | 61.3275i | 1.19181 | − | 3.27809i | ||||
\(351\) | 26.5148 | − | 24.6322i | 1.41526 | − | 1.31477i | ||||
\(352\) | −12.3516 | − | 1.34883i | −0.658343 | − | 0.0718931i | ||||
\(353\) | −22.7116 | − | 22.7844i | −1.20882 | − | 1.21269i | −0.970393 | − | 0.241530i | \(-0.922351\pi\) |
−0.238425 | − | 0.971161i | \(-0.576631\pi\) | |||||||
\(354\) | −50.1520 | + | 38.8454i | −2.66555 | + | 2.06461i | ||||
\(355\) | 1.09909 | + | 11.0460i | 0.0583334 | + | 0.586260i | ||||
\(356\) | −6.85685 | − | 19.2424i | −0.363412 | − | 1.01985i | ||||
\(357\) | −15.1146 | + | 26.3086i | −0.799948 | + | 1.39240i | ||||
\(358\) | 25.4427 | − | 26.1860i | 1.34469 | − | 1.38398i | ||||
\(359\) | −2.15512 | + | 1.12164i | −0.113743 | + | 0.0591979i | −0.517591 | − | 0.855628i | \(-0.673171\pi\) |
0.403849 | + | 0.914826i | \(0.367672\pi\) | |||||||
\(360\) | 27.5263 | − | 17.3750i | 1.45076 | − | 0.915743i | ||||
\(361\) | 6.23692 | + | 22.9338i | 0.328259 | + | 1.20704i | ||||
\(362\) | −49.5332 | + | 7.01890i | −2.60341 | + | 0.368905i | ||||
\(363\) | 18.5663 | + | 13.8186i | 0.974476 | + | 0.725291i | ||||
\(364\) | −59.3999 | − | 22.2436i | −3.11340 | − | 1.16588i | ||||
\(365\) | −24.7748 | + | 9.45868i | −1.29677 | + | 0.495090i | ||||
\(366\) | −59.1000 | + | 1.89136i | −3.08921 | + | 0.0988630i | ||||
\(367\) | −0.647308 | − | 5.75684i | −0.0337892 | − | 0.300505i | −0.999208 | − | 0.0397996i | \(-0.987328\pi\) |
0.965418 | − | 0.260705i | \(-0.0839550\pi\) | |||||||
\(368\) | −5.60543 | + | 2.26428i | −0.292203 | + | 0.118034i | ||||
\(369\) | 26.9611 | + | 54.7637i | 1.40354 | + | 2.85088i | ||||
\(370\) | −6.04052 | − | 4.74084i | −0.314031 | − | 0.246465i | ||||
\(371\) | 2.48602 | + | 7.58507i | 0.129068 | + | 0.393797i | ||||
\(372\) | −22.3214 | + | 35.1133i | −1.15731 | + | 1.82054i | ||||
\(373\) | 0.206975 | − | 4.97377i | 0.0107168 | − | 0.257532i | −0.985445 | − | 0.169997i | \(-0.945624\pi\) |
0.996161 | − | 0.0875355i | \(-0.0278991\pi\) | |||||||
\(374\) | −0.306048 | − | 10.6265i | −0.0158254 | − | 0.549482i | ||||
\(375\) | 23.5246 | + | 19.7110i | 1.21481 | + | 1.01787i | ||||
\(376\) | −9.67843 | − | 7.79821i | −0.499127 | − | 0.402162i | ||||
\(377\) | 50.7384 | − | 5.54079i | 2.61316 | − | 0.285365i | ||||
\(378\) | 31.8769 | − | 36.8312i | 1.63957 | − | 1.89439i | ||||
\(379\) | −3.51141 | − | 1.08899i | −0.180369 | − | 0.0559376i | 0.204703 | − | 0.978824i | \(-0.434377\pi\) |
−0.385072 | + | 0.922887i | \(0.625823\pi\) | |||||||
\(380\) | −62.9655 | − | 20.4142i | −3.23006 | − | 1.04723i | ||||
\(381\) | −0.207994 | + | 1.74894i | −0.0106558 | + | 0.0896009i | ||||
\(382\) | 22.0849 | − | 21.0498i | 1.12996 | − | 1.07700i | ||||
\(383\) | 7.25336 | + | 13.6159i | 0.370629 | + | 0.695739i | 0.996446 | − | 0.0842307i | \(-0.0268433\pi\) |
−0.625817 | + | 0.779970i | \(0.715234\pi\) | |||||||
\(384\) | 13.3229 | + | 34.5639i | 0.679879 | + | 1.76383i | ||||
\(385\) | 10.8112 | + | 19.9855i | 0.550992 | + | 1.01855i | ||||
\(386\) | −7.61034 | + | 4.02292i | −0.387356 | + | 0.204761i | ||||
\(387\) | 3.79237 | − | 9.13492i | 0.192777 | − | 0.464354i | ||||
\(388\) | −6.72424 | − | 4.55157i | −0.341372 | − | 0.231071i | ||||
\(389\) | −3.86470 | − | 1.41909i | −0.195948 | − | 0.0719509i | 0.244834 | − | 0.969565i | \(-0.421266\pi\) |
−0.440782 | + | 0.897614i | \(0.645299\pi\) | |||||||
\(390\) | 88.6192 | − | 103.726i | 4.48741 | − | 5.25238i | ||||
\(391\) | −4.98265 | − | 8.67288i | −0.251984 | − | 0.438606i | ||||
\(392\) | −11.7866 | − | 3.00378i | −0.595312 | − | 0.151714i | ||||
\(393\) | −13.0791 | − | 19.7275i | −0.659751 | − | 0.995122i | ||||
\(394\) | −0.277753 | + | 4.56386i | −0.0139930 | + | 0.229924i | ||||
\(395\) | −18.9100 | + | 40.3466i | −0.951467 | + | 2.03006i | ||||
\(396\) | −3.93577 | + | 23.9080i | −0.197780 | + | 1.20142i | ||||
\(397\) | 0.318095 | − | 4.72764i | 0.0159647 | − | 0.237274i | −0.982683 | − | 0.185293i | \(-0.940677\pi\) |
0.998648 | − | 0.0519809i | \(-0.0165535\pi\) | |||||||
\(398\) | −14.2823 | − | 17.8424i | −0.715906 | − | 0.894359i | ||||
\(399\) | −69.2753 | − | 1.32991i | −3.46811 | − | 0.0665787i | ||||
\(400\) | −10.7720 | + | 8.67935i | −0.538601 | + | 0.433968i | ||||
\(401\) | −4.10756 | + | 4.12072i | −0.205122 | + | 0.205779i | −0.803284 | − | 0.595596i | \(-0.796916\pi\) |
0.598163 | + | 0.801375i | \(0.295898\pi\) | |||||||
\(402\) | −5.43858 | + | 43.3631i | −0.271252 | + | 2.16276i | ||||
\(403\) | −8.28955 | + | 30.4815i | −0.412932 | + | 1.51839i | ||||
\(404\) | −11.0232 | − | 35.9502i | −0.548425 | − | 1.78859i | ||||
\(405\) | 2.95956 | + | 5.30756i | 0.147062 | + | 0.263735i | ||||
\(406\) | 67.0767 | − | 14.8268i | 3.32896 | − | 0.735841i | ||||
\(407\) | 1.61849 | − | 0.293101i | 0.0802255 | − | 0.0145285i | ||||
\(408\) | −12.6329 | + | 6.99137i | −0.625421 | + | 0.346124i | ||||
\(409\) | 5.90326 | + | 6.56186i | 0.291897 | + | 0.324463i | 0.871462 | − | 0.490463i | \(-0.163172\pi\) |
−0.579564 | + | 0.814926i | \(0.696777\pi\) | |||||||
\(410\) | 51.2925 | + | 79.5580i | 2.53316 | + | 3.92909i | ||||
\(411\) | 0.0398291 | + | 12.4497i | 0.00196462 | + | 0.614100i | ||||
\(412\) | 2.53424 | + | 4.10155i | 0.124853 | + | 0.202069i | ||||
\(413\) | −18.2253 | + | 33.1819i | −0.896809 | + | 1.63277i | ||||
\(414\) | 12.6308 | + | 36.9338i | 0.620768 | + | 1.81520i | ||||
\(415\) | 15.8131 | − | 54.0289i | 0.776236 | − | 2.65218i | ||||
\(416\) | 27.5988 | + | 34.9342i | 1.35314 | + | 1.71279i | ||||
\(417\) | −4.48092 | + | 2.90927i | −0.219432 | + | 0.142467i | ||||
\(418\) | 20.9333 | − | 12.2951i | 1.02388 | − | 0.601372i | ||||
\(419\) | 6.42049 | − | 5.44996i | 0.313662 | − | 0.266248i | −0.476462 | − | 0.879195i | \(-0.658081\pi\) |
0.790124 | + | 0.612947i | \(0.210016\pi\) | |||||||
\(420\) | 60.3972 | − | 88.6155i | 2.94708 | − | 4.32399i | ||||
\(421\) | −10.1186 | + | 1.03951i | −0.493151 | + | 0.0506628i | −0.345581 | − | 0.938389i | \(-0.612318\pi\) |
−0.147570 | + | 0.989052i | \(0.547145\pi\) | |||||||
\(422\) | −13.2761 | − | 2.14193i | −0.646270 | − | 0.104267i | ||||
\(423\) | 23.9107 | − | 26.5783i | 1.16258 | − | 1.29228i | ||||
\(424\) | −0.855379 | + | 3.70085i | −0.0415409 | + | 0.179729i | ||||
\(425\) | −16.6684 | − | 15.6848i | −0.808536 | − | 0.760825i | ||||
\(426\) | −2.87831 | + | 18.9981i | −0.139454 | + | 0.920461i | ||||
\(427\) | −31.9043 | + | 15.0779i | −1.54396 | + | 0.729670i | ||||
\(428\) | −17.0662 | + | 14.8664i | −0.824928 | + | 0.718593i | ||||
\(429\) | 4.00741 | + | 28.9471i | 0.193480 | + | 1.39758i | ||||
\(430\) | 4.21418 | − | 14.7480i | 0.203226 | − | 0.711213i | ||||
\(431\) | 1.48112 | + | 7.49307i | 0.0713431 | + | 0.360928i | 0.999949 | − | 0.0101402i | \(-0.00322777\pi\) |
−0.928606 | + | 0.371068i | \(0.878992\pi\) | |||||||
\(432\) | −9.82282 | + | 3.18468i | −0.472601 | + | 0.153223i | ||||
\(433\) | 17.0003 | − | 0.217559i | 0.816980 | − | 0.0104552i | 0.396810 | − | 0.917901i | \(-0.370117\pi\) |
0.420170 | + | 0.907445i | \(0.361970\pi\) | |||||||
\(434\) | −6.63748 | + | 41.9944i | −0.318609 | + | 2.01579i | ||||
\(435\) | −11.2866 | + | 85.5543i | −0.541153 | + | 4.10201i | ||||
\(436\) | 0.00201132 | + | 0.0369459i | 9.63250e−5 | + | 0.00176939i | ||||
\(437\) | 11.8816 | − | 19.5079i | 0.568375 | − | 0.933191i | ||||
\(438\) | −45.6001 | + | 5.27513i | −2.17886 | + | 0.252055i | ||||
\(439\) | 32.9219 | − | 12.8111i | 1.57128 | − | 0.611438i | 0.590581 | − | 0.806978i | \(-0.298898\pi\) |
0.980696 | + | 0.195540i | \(0.0626459\pi\) | |||||||
\(440\) | −0.518683 | + | 10.8004i | −0.0247272 | + | 0.514887i | ||||
\(441\) | 10.4701 | − | 33.3828i | 0.498578 | − | 1.58966i | ||||
\(442\) | −26.3692 | + | 27.4893i | −1.25426 | + | 1.30753i | ||||
\(443\) | 4.70104 | + | 11.9673i | 0.223353 | + | 0.568585i | 0.997959 | − | 0.0638596i | \(-0.0203410\pi\) |
−0.774606 | + | 0.632444i | \(0.782052\pi\) | |||||||
\(444\) | −4.73396 | − | 6.15242i | −0.224664 | − | 0.291981i | ||||
\(445\) | 24.1195 | − | 10.2857i | 1.14338 | − | 0.487590i | ||||
\(446\) | 32.9062 | + | 46.9771i | 1.55815 | + | 2.22443i | ||||
\(447\) | 5.03177 | − | 18.9811i | 0.237995 | − | 0.897775i | ||||
\(448\) | 32.9893 | + | 33.5213i | 1.55860 | + | 1.58373i | ||||
\(449\) | −3.05474 | + | 0.472811i | −0.144162 | + | 0.0223133i | −0.224631 | − | 0.974444i | \(-0.572118\pi\) |
0.0804691 | + | 0.996757i | \(0.474358\pi\) | |||||||
\(450\) | 52.1764 | + | 72.4953i | 2.45962 | + | 3.41746i | ||||
\(451\) | −20.0377 | − | 3.10142i | −0.943540 | − | 0.146040i | ||||
\(452\) | −4.73060 | − | 9.30640i | −0.222509 | − | 0.437736i | ||||
\(453\) | 62.8464 | + | 10.5525i | 2.95278 | + | 0.495799i | ||||
\(454\) | 29.5816 | − | 6.34055i | 1.38834 | − | 0.297577i | ||||
\(455\) | 23.8677 | − | 77.8402i | 1.11894 | − | 3.64920i | ||||
\(456\) | −27.8821 | − | 17.5995i | −1.30570 | − | 0.824174i | ||||
\(457\) | −2.86585 | − | 0.238929i | −0.134059 | − | 0.0111766i | 0.0158651 | − | 0.999874i | \(-0.494950\pi\) |
−0.149924 | + | 0.988698i | \(0.547903\pi\) | |||||||
\(458\) | −15.1993 | − | 9.05855i | −0.710216 | − | 0.423278i | ||||
\(459\) | −7.44795 | − | 15.3758i | −0.347640 | − | 0.717683i | ||||
\(460\) | 15.2079 | + | 31.9146i | 0.709070 | + | 1.48803i | ||||
\(461\) | −3.36444 | + | 8.40633i | −0.156698 | + | 0.391522i | −0.985879 | − | 0.167457i | \(-0.946444\pi\) |
0.829182 | + | 0.558979i | \(0.188807\pi\) | |||||||
\(462\) | 9.59124 | + | 38.1447i | 0.446225 | + | 1.77465i | ||||
\(463\) | 11.4419 | − | 10.2275i | 0.531750 | − | 0.475310i | −0.356742 | − | 0.934203i | \(-0.616112\pi\) |
0.888492 | + | 0.458893i | \(0.151754\pi\) | |||||||
\(464\) | −13.7945 | − | 4.66826i | −0.640395 | − | 0.216718i | ||||
\(465\) | −46.7293 | − | 25.8612i | −2.16702 | − | 1.19929i | ||||
\(466\) | 11.0076 | + | 47.6250i | 0.509917 | + | 2.20619i | ||||
\(467\) | −21.2173 | + | 36.3902i | −0.981822 | + | 1.68394i | −0.297554 | + | 0.954705i | \(0.596171\pi\) |
−0.684268 | + | 0.729231i | \(0.739878\pi\) | |||||||
\(468\) | 70.9493 | − | 50.0371i | 3.27963 | − | 2.31297i | ||||
\(469\) | 7.32603 | + | 25.0309i | 0.338284 | + | 1.15582i | ||||
\(470\) | 32.0977 | − | 45.2046i | 1.48056 | − | 2.08513i | ||||
\(471\) | 12.7700 | + | 53.6824i | 0.588410 | + | 2.47355i | ||||
\(472\) | −15.5920 | + | 9.02425i | −0.717682 | + | 0.415375i | ||||
\(473\) | 1.76259 | + | 2.77270i | 0.0810442 | + | 0.127489i | ||||
\(474\) | −48.9664 | + | 59.5928i | −2.24910 | + | 2.73719i | ||||
\(475\) | 13.0695 | − | 50.6066i | 0.599671 | − | 2.32199i | ||||
\(476\) | −18.2596 | + | 23.7308i | −0.836927 | + | 1.08770i | ||||
\(477\) | −10.4956 | − | 3.03541i | −0.480559 | − | 0.138982i | ||||
\(478\) | −16.1834 | + | 6.06024i | −0.740212 | + | 0.277189i | ||||
\(479\) | 20.8459 | − | 18.3947i | 0.952473 | − | 0.840477i | −0.0348185 | − | 0.999394i | \(-0.511085\pi\) |
0.987292 | + | 0.158917i | \(0.0508002\pi\) | |||||||
\(480\) | −68.4616 | + | 31.2895i | −3.12483 | + | 1.42816i | ||||
\(481\) | −4.81632 | − | 3.39672i | −0.219605 | − | 0.154877i | ||||
\(482\) | 13.1573 | − | 38.4735i | 0.599299 | − | 1.75242i | ||||
\(483\) | 24.9259 | + | 27.3527i | 1.13417 | + | 1.24459i | ||||
\(484\) | 16.3303 | + | 15.9687i | 0.742288 | + | 0.725849i | ||||
\(485\) | 5.30735 | − | 8.97030i | 0.240994 | − | 0.407320i | ||||
\(486\) | −7.36087 | − | 27.7670i | −0.333896 | − | 1.25954i | ||||
\(487\) | −4.41863 | + | 5.23938i | −0.200227 | + | 0.237419i | −0.855283 | − | 0.518161i | \(-0.826617\pi\) |
0.655056 | + | 0.755581i | \(0.272645\pi\) | |||||||
\(488\) | −16.7044 | − | 1.71609i | −0.756173 | − | 0.0776838i | ||||
\(489\) | −47.5464 | − | 12.7672i | −2.15012 | − | 0.577353i | ||||
\(490\) | 10.1801 | − | 53.2916i | 0.459888 | − | 2.40747i | ||||
\(491\) | −5.38149 | − | 16.0712i | −0.242863 | − | 0.725285i | −0.997599 | − | 0.0692558i | \(-0.977938\pi\) |
0.754736 | − | 0.656029i | \(-0.227765\pi\) | |||||||
\(492\) | 30.3859 | + | 90.7443i | 1.36990 | + | 4.09107i | ||||
\(493\) | 4.52094 | − | 23.6667i | 0.203613 | − | 1.06589i | ||||
\(494\) | −84.0118 | − | 22.5589i | −3.77987 | − | 1.01497i | ||||
\(495\) | −30.9389 | − | 3.17844i | −1.39060 | − | 0.142860i | ||||
\(496\) | 5.81062 | − | 6.88993i | 0.260904 | − | 0.309367i | ||||
\(497\) | 2.93836 | + | 11.0842i | 0.131803 | + | 0.497195i | ||||
\(498\) | 49.6206 | − | 83.8672i | 2.22355 | − | 3.75818i | ||||
\(499\) | −1.27902 | − | 1.25070i | −0.0572570 | − | 0.0559889i | 0.669956 | − | 0.742401i | \(-0.266313\pi\) |
−0.727213 | + | 0.686412i | \(0.759185\pi\) | |||||||
\(500\) | 20.4005 | + | 22.3867i | 0.912336 | + | 1.00116i | ||||
\(501\) | −16.1684 | + | 47.2784i | −0.722351 | + | 2.11224i | ||||
\(502\) | 15.8495 | + | 11.1779i | 0.707397 | + | 0.498893i | ||||
\(503\) | −9.53596 | + | 4.35828i | −0.425187 | + | 0.194326i | −0.616758 | − | 0.787153i | \(-0.711554\pi\) |
0.191571 | + | 0.981479i | \(0.438642\pi\) | |||||||
\(504\) | 25.2134 | − | 22.2487i | 1.12309 | − | 0.991036i | ||||
\(505\) | 45.2014 | − | 16.9267i | 2.01144 | − | 0.753227i | ||||
\(506\) | −12.4557 | − | 3.60231i | −0.553724 | − | 0.160142i | ||||
\(507\) | 41.2969 | − | 53.6708i | 1.83406 | − | 2.38361i | ||||
\(508\) | −0.434623 | + | 1.68291i | −0.0192833 | + | 0.0746670i | ||||
\(509\) | 1.16459 | − | 1.41732i | 0.0516196 | − | 0.0628218i | −0.746181 | − | 0.665743i | \(-0.768115\pi\) |
0.797801 | + | 0.602921i | \(0.205997\pi\) | |||||||
\(510\) | −34.5510 | − | 54.3513i | −1.52994 | − | 2.40672i | ||||
\(511\) | −23.7099 | + | 13.7226i | −1.04886 | + | 0.607054i | ||||
\(512\) | −4.35924 | − | 18.3253i | −0.192653 | − | 0.809872i | ||||
\(513\) | 22.5878 | − | 31.8115i | 0.997278 | − | 1.40451i | ||||
\(514\) | −12.7111 | − | 43.4300i | −0.560660 | − | 1.91562i | ||||
\(515\) | −5.05748 | + | 3.56680i | −0.222859 | + | 0.157172i | ||||
\(516\) | 7.81039 | − | 13.3957i | 0.343833 | − | 0.589713i | ||||
\(517\) | 2.67432 | + | 11.5706i | 0.117616 | + | 0.508875i | ||||
\(518\) | −6.94036 | − | 3.84098i | −0.304942 | − | 0.168763i | ||||
\(519\) | 31.0246 | + | 10.4992i | 1.36183 | + | 0.460862i | ||||
\(520\) | 28.8861 | − | 25.8202i | 1.26674 | − | 1.13229i | ||||
\(521\) | −5.76926 | − | 22.9446i | −0.252756 | − | 1.00522i | −0.955787 | − | 0.294061i | \(-0.904993\pi\) |
0.703031 | − | 0.711159i | \(-0.251830\pi\) | |||||||
\(522\) | −34.9387 | + | 87.2971i | −1.52922 | + | 3.82089i | ||||
\(523\) | 5.72284 | + | 12.0097i | 0.250242 | + | 0.525148i | 0.988837 | − | 0.149001i | \(-0.0476059\pi\) |
−0.738595 | + | 0.674150i | \(0.764510\pi\) | |||||||
\(524\) | −10.1829 | − | 21.0219i | −0.444841 | − | 0.918347i | ||||
\(525\) | 72.7409 | + | 43.3525i | 3.17468 | + | 1.89206i | ||||
\(526\) | −22.7422 | − | 1.89604i | −0.991609 | − | 0.0826714i | ||||
\(527\) | 12.6101 | + | 7.95967i | 0.549304 | + | 0.346729i | ||||
\(528\) | 2.44435 | − | 7.97178i | 0.106376 | − | 0.346927i | ||||
\(529\) | 10.5607 | − | 2.26358i | 0.459159 | − | 0.0984163i | ||||
\(530\) | −16.7092 | − | 2.80563i | −0.725801 | − | 0.121869i | ||||
\(531\) | −23.4808 | − | 46.1933i | −1.01898 | − | 2.00462i | ||||
\(532\) | −67.5732 | − | 10.4589i | −2.92967 | − | 0.453451i | ||||
\(533\) | 42.4407 | + | 58.9682i | 1.83831 | + | 2.55420i | ||||
\(534\) | 44.8545 | − | 6.94253i | 1.94104 | − | 0.300433i | ||||
\(535\) | −20.3782 | − | 20.7068i | −0.881026 | − | 0.895233i | ||||
\(536\) | −3.18026 | + | 11.9967i | −0.137366 | + | 0.518180i | ||||
\(537\) | 27.1826 | + | 38.8060i | 1.17301 | + | 1.67460i | ||||
\(538\) | −54.8312 | + | 23.3827i | −2.36394 | + | 1.00810i | ||||
\(539\) | 7.08708 | + | 9.21062i | 0.305262 | + | 0.396730i | ||||
\(540\) | 22.0785 | + | 56.2046i | 0.950105 | + | 2.41866i | ||||
\(541\) | 15.3753 | − | 16.0284i | 0.661036 | − | 0.689116i | −0.303571 | − | 0.952809i | \(-0.598179\pi\) |
0.964607 | + | 0.263693i | \(0.0849406\pi\) | |||||||
\(542\) | −5.82122 | + | 18.5603i | −0.250043 | + | 0.797233i | ||||
\(543\) | 3.11418 | − | 64.8455i | 0.133642 | − | 2.78279i | ||||
\(544\) | 19.5863 | − | 7.62171i | 0.839757 | − | 0.326778i | ||||
\(545\) | −0.0471799 | + | 0.00545788i | −0.00202096 | + | 0.000233790i | ||||
\(546\) | 73.3100 | − | 120.364i | 3.13738 | − | 5.15112i | ||||
\(547\) | 0.143673 | + | 2.63913i | 0.00614303 | + | 0.112841i | 0.999998 | + | 0.00214811i | \(0.000683767\pi\) |
−0.993855 | + | 0.110693i | \(0.964693\pi\) | |||||||
\(548\) | −1.60692 | + | 12.1807i | −0.0686443 | + | 0.520334i | ||||
\(549\) | 7.54069 | − | 47.7088i | 0.321829 | − | 2.03616i | ||||
\(550\) | −29.6674 | + | 0.379666i | −1.26502 | + | 0.0161890i | ||||
\(551\) | 52.3409 | − | 16.9696i | 2.22980 | − | 0.722928i | ||||
\(552\) | 3.41485 | + | 17.2759i | 0.145346 | + | 0.735311i | ||||
\(553\) | −12.6466 | + | 44.2582i | −0.537787 | + | 1.88205i | ||||
\(554\) | −2.35052 | − | 16.9788i | −0.0998641 | − | 0.721358i | ||||
\(555\) | 7.51361 | − | 6.54509i | 0.318935 | − | 0.277824i | ||||
\(556\) | −4.76681 | + | 2.25278i | −0.202158 | + | 0.0955392i | ||||
\(557\) | 5.58998 | − | 36.8964i | 0.236855 | − | 1.56335i | −0.487003 | − | 0.873400i | \(-0.661910\pi\) |
0.723858 | − | 0.689949i | \(-0.242367\pi\) | |||||||
\(558\) | −42.3811 | − | 39.8803i | −1.79414 | − | 1.68827i | ||||
\(559\) | 2.65108 | − | 11.4701i | 0.112129 | − | 0.485133i | ||||
\(560\) | −15.5368 | + | 17.2702i | −0.656549 | + | 0.729798i | ||||
\(561\) | 13.6193 | + | 2.19731i | 0.575009 | + | 0.0927704i | ||||
\(562\) | 10.7994 | − | 1.10945i | 0.455544 | − | 0.0467993i | ||||
\(563\) | −17.6298 | + | 25.8667i | −0.743009 | + | 1.09015i | 0.249547 | + | 0.968363i | \(0.419718\pi\) |
−0.992556 | + | 0.121788i | \(0.961137\pi\) | |||||||
\(564\) | 42.7301 | − | 36.2709i | 1.79926 | − | 1.52728i | ||||
\(565\) | 11.5549 | − | 6.78673i | 0.486118 | − | 0.285520i | ||||
\(566\) | −42.2445 | + | 27.4275i | −1.77567 | + | 1.15286i | ||||
\(567\) | 3.89155 | + | 4.92586i | 0.163430 | + | 0.206867i | ||||
\(568\) | −1.53279 | + | 5.23712i | −0.0643146 | + | 0.219744i | ||||
\(569\) | −12.2839 | − | 35.9197i | −0.514969 | − | 1.50583i | −0.830557 | − | 0.556934i | \(-0.811978\pi\) |
0.315588 | − | 0.948896i | \(-0.397798\pi\) | |||||||
\(570\) | 70.8039 | − | 128.909i | 2.96565 | − | 5.39940i | ||||
\(571\) | 3.76444 | + | 6.09258i | 0.157537 | + | 0.254967i | 0.919874 | − | 0.392213i | \(-0.128290\pi\) |
−0.762337 | + | 0.647180i | \(0.775948\pi\) | |||||||
\(572\) | 0.0922618 | + | 28.8391i | 0.00385766 | + | 1.20582i | ||||
\(573\) | 21.4533 | + | 33.2755i | 0.896224 | + | 1.39010i | ||||
\(574\) | 65.4000 | + | 72.6964i | 2.72974 | + | 3.03429i | ||||
\(575\) | −24.4246 | + | 13.5172i | −1.01858 | + | 0.563707i | ||||
\(576\) | −63.3454 | + | 11.4716i | −2.63939 | + | 0.477982i | ||||
\(577\) | −33.8293 | + | 7.47771i | −1.40833 | + | 0.311301i | −0.853688 | − | 0.520785i | \(-0.825639\pi\) |
−0.554646 | + | 0.832086i | \(0.687146\pi\) | |||||||
\(578\) | −9.39661 | − | 16.8515i | −0.390848 | − | 0.700930i | ||||
\(579\) | −3.27472 | − | 10.6799i | −0.136093 | − | 0.443841i | ||||
\(580\) | −22.3484 | + | 82.1772i | −0.927966 | + | 3.41222i | ||||
\(581\) | 7.23699 | − | 57.7023i | 0.300241 | − | 2.39390i | ||||
\(582\) | 12.7370 | − | 12.7778i | 0.527966 | − | 0.529658i | ||||
\(583\) | 2.82606 | − | 2.27704i | 0.117043 | − | 0.0943056i | ||||
\(584\) | −13.0339 | − | 0.250217i | −0.539345 | − | 0.0103540i | ||||
\(585\) | 69.6421 | + | 87.0017i | 2.87935 | + | 3.59708i | ||||
\(586\) | −0.418924 | + | 6.22620i | −0.0173056 | + | 0.257202i | ||||
\(587\) | −3.44733 | + | 20.9409i | −0.142286 | + | 0.864325i | 0.815903 | + | 0.578189i | \(0.196240\pi\) |
−0.958189 | + | 0.286136i | \(0.907629\pi\) | |||||||
\(588\) | 23.2776 | − | 49.6653i | 0.959953 | − | 2.04816i | ||||
\(589\) | −2.06866 | + | 33.9908i | −0.0852375 | + | 1.40056i | ||||
\(590\) | −44.4039 | − | 66.9756i | −1.82808 | − | 2.75734i | ||||
\(591\) | −5.74960 | − | 1.46527i | −0.236507 | − | 0.0602733i | ||||
\(592\) | 0.837689 | + | 1.45809i | 0.0344288 | + | 0.0599273i | ||||
\(593\) | 11.8739 | − | 13.8981i | 0.487604 | − | 0.570726i | −0.460916 | − | 0.887444i | \(-0.652479\pi\) |
0.948520 | + | 0.316718i | \(0.102581\pi\) | |||||||
\(594\) | −20.7900 | − | 7.63398i | −0.853026 | − | 0.313226i | ||||
\(595\) | −31.8287 | − | 21.5446i | −1.30485 | − | 0.883241i | ||||
\(596\) | 7.43024 | − | 17.8977i | 0.304354 | − | 0.733118i | ||||
\(597\) | 26.2200 | − | 13.8602i | 1.07311 | − | 0.567262i | ||||
\(598\) | 22.1055 | + | 40.8638i | 0.903960 | + | 1.67104i | ||||
\(599\) | 2.23011 | + | 5.78564i | 0.0911198 | + | 0.236395i | 0.971126 | − | 0.238567i | \(-0.0766777\pi\) |
−0.880006 | + | 0.474962i | \(0.842462\pi\) | |||||||
\(600\) | 18.9459 | + | 35.5649i | 0.773462 | + | 1.45193i | ||||
\(601\) | −14.1526 | + | 13.4893i | −0.577299 | + | 0.550239i | −0.921361 | − | 0.388707i | \(-0.872922\pi\) |
0.344063 | + | 0.938947i | \(0.388197\pi\) | |||||||
\(602\) | 1.87116 | − | 15.7339i | 0.0762630 | − | 0.641267i | ||||
\(603\) | −33.9589 | − | 11.0099i | −1.38291 | − | 0.448357i | ||||
\(604\) | 60.0666 | + | 18.6284i | 2.44408 | + | 0.757977i | ||||
\(605\) | −19.1864 | + | 22.1683i | −0.780038 | + | 0.901270i | ||||
\(606\) | 83.0555 | − | 9.06991i | 3.37390 | − | 0.368440i | ||||
\(607\) | 1.63708 | + | 1.31905i | 0.0664470 | + | 0.0535384i | 0.660065 | − | 0.751209i | \(-0.270529\pi\) |
−0.593618 | + | 0.804747i | \(0.702301\pi\) | |||||||
\(608\) | 36.7882 | + | 30.8244i | 1.49196 | + | 1.25010i | ||||
\(609\) | 2.56636 | + | 89.1081i | 0.103994 | + | 3.61084i | ||||
\(610\) | 3.11428 | − | 74.8385i | 0.126093 | − | 3.03012i | ||||
\(611\) | 22.8282 | − | 35.9105i | 0.923530 | − | 1.45278i | ||||
\(612\) | −12.7647 | − | 38.9463i | −0.515983 | − | 1.57431i | ||||
\(613\) | 29.1648 | + | 22.8898i | 1.17796 | + | 0.924509i | 0.998246 | − | 0.0592106i | \(-0.0188584\pi\) |
0.179711 | + | 0.983719i | \(0.442484\pi\) | |||||||
\(614\) | 23.8112 | + | 48.3656i | 0.960942 | + | 1.95188i | ||||
\(615\) | −113.896 | + | 46.0076i | −4.59274 | + | 1.85521i | ||||
\(616\) | 1.24809 | + | 11.0999i | 0.0502870 | + | 0.447228i | ||||
\(617\) | 13.6415 | − | 0.436565i | 0.549186 | − | 0.0175754i | 0.243837 | − | 0.969816i | \(-0.421594\pi\) |
0.305348 | + | 0.952241i | \(0.401227\pi\) | |||||||
\(618\) | −10.0080 | + | 3.82092i | −0.402582 | + | 0.153700i | ||||
\(619\) | 17.9047 | + | 6.70481i | 0.719650 | + | 0.269489i | 0.683596 | − | 0.729861i | \(-0.260415\pi\) |
0.0360541 | + | 0.999350i | \(0.488521\pi\) | |||||||
\(620\) | −42.2808 | − | 31.4691i | −1.69804 | − | 1.26383i | ||||
\(621\) | −20.6316 | + | 2.92352i | −0.827919 | + | 0.117317i | ||||
\(622\) | −10.3944 | − | 38.2212i | −0.416777 | − | 1.53253i | ||||
\(623\) | 22.9055 | − | 14.4583i | 0.917690 | − | 0.579259i | ||||
\(624\) | −26.5021 | + | 13.7932i | −1.06094 | + | 0.552168i | ||||
\(625\) | 0.755440 | − | 0.777511i | 0.0302176 | − | 0.0311004i | ||||
\(626\) | 16.7871 | − | 29.2198i | 0.670946 | − | 1.16786i | ||||
\(627\) | 10.5747 | + | 29.6759i | 0.422313 | + | 1.18514i | ||||
\(628\) | 5.39174 | + | 54.1878i | 0.215154 | + | 2.16233i | ||||
\(629\) | −2.19958 | + | 1.70369i | −0.0877029 | + | 0.0679305i | ||||
\(630\) | 105.891 | + | 106.230i | 4.21878 | + | 4.23230i | ||||
\(631\) | −45.1259 | − | 4.92788i | −1.79643 | − | 0.196176i | −0.851703 | − | 0.524025i | \(-0.824430\pi\) |
−0.944730 | + | 0.327849i | \(0.893676\pi\) | |||||||
\(632\) | −16.0477 | + | 14.9083i | −0.638343 | + | 0.593020i | ||||
\(633\) | 5.96272 | − | 16.4006i | 0.236997 | − | 0.651865i | ||||
\(634\) | −0.833852 | − | 5.75206i | −0.0331165 | − | 0.228443i | ||||
\(635\) | −2.19011 | − | 0.425633i | −0.0869117 | − | 0.0168907i | ||||
\(636\) | −15.6686 | − | 6.92013i | −0.621301 | − | 0.274401i | ||||
\(637\) | 5.71042 | − | 41.2486i | 0.226255 | − | 1.63433i | ||||
\(638\) | −17.0924 | − | 26.1426i | −0.676694 | − | 1.03500i | ||||
\(639\) | −14.8020 | − | 5.22124i | −0.585557 | − | 0.206549i | ||||
\(640\) | −44.9061 | + | 13.6123i | −1.77507 | + | 0.538074i | ||||
\(641\) | −32.6862 | − | 14.9388i | −1.29103 | − | 0.590046i | −0.352681 | − | 0.935744i | \(-0.614730\pi\) |
−0.938346 | + | 0.345698i | \(0.887642\pi\) | |||||||
\(642\) | −25.3303 | − | 43.4443i | −0.999706 | − | 1.71461i | ||||
\(643\) | −23.3372 | + | 21.9601i | −0.920330 | + | 0.866022i | −0.991322 | − | 0.131455i | \(-0.958035\pi\) |
0.0709923 | + | 0.997477i | \(0.477383\pi\) | |||||||
\(644\) | 20.7606 | + | 30.0453i | 0.818083 | + | 1.18395i | ||||
\(645\) | 17.7722 | + | 8.96248i | 0.699780 | + | 0.352897i | ||||
\(646\) | −21.8079 | + | 34.7953i | −0.858021 | + | 1.36900i | ||||
\(647\) | −14.1946 | − | 10.9944i | −0.558046 | − | 0.432236i | 0.293922 | − | 0.955829i | \(-0.405039\pi\) |
−0.851968 | + | 0.523593i | \(0.824591\pi\) | |||||||
\(648\) | 0.371755 | + | 2.96409i | 0.0146039 | + | 0.116440i | ||||
\(649\) | 17.0427 | + | 2.41497i | 0.668985 | + | 0.0947958i | ||||
\(650\) | 75.5334 | + | 74.8119i | 2.96266 | + | 2.93437i | ||||
\(651\) | −51.9112 | − | 18.6854i | −2.03456 | − | 0.732339i | ||||
\(652\) | −44.8110 | − | 18.7716i | −1.75493 | − | 0.735153i | ||||
\(653\) | −3.50027 | − | 40.4220i | −0.136976 | − | 1.58183i | −0.674299 | − | 0.738458i | \(-0.735554\pi\) |
0.537323 | − | 0.843377i | \(-0.319436\pi\) | |||||||
\(654\) | −0.0814715 | − | 0.0110133i | −0.00318579 | − | 0.000430655i | ||||
\(655\) | 26.1402 | − | 14.6859i | 1.02138 | − | 0.573827i | ||||
\(656\) | −3.88958 | − | 20.3616i | −0.151862 | − | 0.794985i | ||||
\(657\) | 2.75660 | − | 37.3958i | 0.107545 | − | 1.45895i | ||||
\(658\) | 25.2964 | − | 51.3824i | 0.986158 | − | 2.00310i | ||||
\(659\) | −33.1866 | + | 15.9445i | −1.29277 | + | 0.621109i | −0.948206 | − | 0.317655i | \(-0.897104\pi\) |
−0.344561 | + | 0.938764i | \(0.611972\pi\) | |||||||
\(660\) | −47.3997 | − | 11.4358i | −1.84503 | − | 0.445138i | ||||
\(661\) | 15.0826 | − | 20.1297i | 0.586647 | − | 0.782956i | −0.404668 | − | 0.914463i | \(-0.632613\pi\) |
0.991315 | + | 0.131507i | \(0.0419817\pi\) | |||||||
\(662\) | −46.6522 | + | 53.2110i | −1.81319 | + | 2.06810i | ||||
\(663\) | −28.6182 | − | 40.3043i | −1.11144 | − | 1.56529i | ||||
\(664\) | 17.1553 | − | 21.7149i | 0.665754 | − | 0.842701i | ||||
\(665\) | 8.13136 | − | 87.3933i | 0.315320 | − | 3.38897i | ||||
\(666\) | 9.69459 | − | 4.88896i | 0.375658 | − | 0.189443i | ||||
\(667\) | −25.8030 | − | 14.0652i | −0.999097 | − | 0.544605i | ||||
\(668\) | −22.0624 | + | 44.0992i | −0.853622 | + | 1.70625i | ||||
\(669\) | −67.8907 | + | 30.5049i | −2.62481 | + | 1.17939i | ||||
\(670\) | −54.2752 | − | 10.9089i | −2.09683 | − | 0.421446i | ||||
\(671\) | 11.5430 | + | 11.1438i | 0.445614 | + | 0.430202i | ||||
\(672\) | −64.6712 | + | 43.1745i | −2.49474 | + | 1.66549i | ||||
\(673\) | −15.4316 | + | 47.0831i | −0.594843 | + | 1.81492i | −0.0154361 | + | 0.999881i | \(0.504914\pi\) |
−0.579407 | + | 0.815039i | \(0.696716\pi\) | |||||||
\(674\) | −19.0371 | − | 23.1684i | −0.733282 | − | 0.892415i | ||||
\(675\) | −43.2396 | + | 20.0975i | −1.66429 | + | 0.773554i | ||||
\(676\) | 47.4823 | − | 47.0288i | 1.82624 | − | 1.80880i | ||||
\(677\) | −7.41319 | + | 5.51755i | −0.284912 | + | 0.212057i | −0.730030 | − | 0.683415i | \(-0.760494\pi\) |
0.445118 | + | 0.895472i | \(0.353162\pi\) | |||||||
\(678\) | 22.2831 | − | 6.44447i | 0.855776 | − | 0.247498i | ||||
\(679\) | 3.93666 | − | 10.0215i | 0.151075 | − | 0.384588i | ||||
\(680\) | −7.65592 | − | 16.6105i | −0.293591 | − | 0.636983i | ||||
\(681\) | 0.879110 | + | 39.2495i | 0.0336876 | + | 1.50404i | ||||
\(682\) | 18.9271 | − | 3.93035i | 0.724756 | − | 0.150501i | ||||
\(683\) | −21.7605 | + | 22.9773i | −0.832641 | + | 0.879203i | −0.994188 | − | 0.107662i | \(-0.965663\pi\) |
0.161547 | + | 0.986865i | \(0.448352\pi\) | |||||||
\(684\) | 63.9209 | − | 68.3663i | 2.44408 | − | 2.61405i | ||||
\(685\) | −15.7317 | − | 1.10906i | −0.601079 | − | 0.0423751i | ||||
\(686\) | −0.0318383 | + | 1.10547i | −0.00121559 | + | 0.0422072i | ||||
\(687\) | 15.2471 | − | 17.1678i | 0.581714 | − | 0.654994i | ||||
\(688\) | −2.06536 | + | 2.64897i | −0.0787411 | + | 0.100991i | ||||
\(689\) | −12.9180 | − | 1.49439i | −0.492138 | − | 0.0569316i | ||||
\(690\) | −75.9927 | + | 19.8852i | −2.89299 | + | 0.757017i | ||||
\(691\) | 6.24313 | + | 19.9055i | 0.237500 | + | 0.757241i | 0.994585 | + | 0.103925i | \(0.0331401\pi\) |
−0.757085 | + | 0.653316i | \(0.773377\pi\) | |||||||
\(692\) | 28.9530 | + | 14.3693i | 1.10063 | + | 0.546240i | ||||
\(693\) | −32.0755 | + | 1.84912i | −1.21845 | + | 0.0702421i | ||||
\(694\) | −11.3972 | + | 12.5068i | −0.432631 | + | 0.474753i | ||||
\(695\) | −3.25806 | − | 5.93178i | −0.123585 | − | 0.225005i | ||||
\(696\) | −20.8965 | + | 36.9176i | −0.792079 | + | 1.39936i | ||||
\(697\) | 32.4876 | − | 10.9943i | 1.23056 | − | 0.416437i | ||||
\(698\) | −11.7033 | − | 2.11942i | −0.442977 | − | 0.0802212i | ||||
\(699\) | −63.3845 | + | 2.43454i | −2.39742 | + | 0.0920826i | ||||
\(700\) | 65.4070 | + | 52.0138i | 2.47215 | + | 1.96594i | ||||
\(701\) | 16.8851 | + | 10.2103i | 0.637743 | + | 0.385636i | 0.799047 | − | 0.601269i | \(-0.205338\pi\) |
−0.161304 | + | 0.986905i | \(0.551570\pi\) | |||||||
\(702\) | 32.7560 | + | 72.2813i | 1.23630 | + | 2.72808i | ||||
\(703\) | −5.82823 | − | 2.52963i | −0.219816 | − | 0.0954068i | ||||
\(704\) | 8.95113 | − | 19.4206i | 0.337359 | − | 0.731941i | ||||
\(705\) | 49.8038 | + | 51.9194i | 1.87572 | + | 1.95540i | ||||
\(706\) | 63.1876 | − | 31.3599i | 2.37809 | − | 1.18024i | ||||
\(707\) | 43.3128 | − | 24.6997i | 1.62895 | − | 0.928927i | ||||
\(708\) | −26.7788 | − | 76.6982i | −1.00641 | − | 2.88249i | ||||
\(709\) | 27.1250 | − | 5.27157i | 1.01870 | − | 0.197978i | 0.346268 | − | 0.938136i | \(-0.387449\pi\) |
0.672434 | + | 0.740157i | \(0.265249\pi\) | |||||||
\(710\) | −23.7327 | − | 5.40542i | −0.890672 | − | 0.202862i | ||||
\(711\) | −40.3093 | − | 48.4220i | −1.51172 | − | 1.81597i | ||||
\(712\) | 12.8875 | − | 0.247406i | 0.482978 | − | 0.00927194i | ||||
\(713\) | 13.9410 | − | 11.6810i | 0.522095 | − | 0.437457i | ||||
\(714\) | −44.1790 | − | 49.7444i | −1.65336 | − | 1.86164i | ||||
\(715\) | −36.9427 | + | 2.36696i | −1.38158 | + | 0.0885192i | ||||
\(716\) | 21.4534 | + | 41.5446i | 0.801752 | + | 1.55259i | ||||
\(717\) | −3.78412 | − | 22.1035i | −0.141321 | − | 0.825469i | ||||
\(718\) | −0.831691 | − | 5.26199i | −0.0310384 | − | 0.196376i | ||||
\(719\) | 15.3307 | − | 0.392452i | 0.571740 | − | 0.0146360i | 0.261348 | − | 0.965245i | \(-0.415833\pi\) |
0.310392 | + | 0.950609i | \(0.399540\pi\) | |||||||
\(720\) | −7.55637 | − | 30.8863i | −0.281609 | − | 1.15106i | ||||
\(721\) | −4.57091 | + | 4.46968i | −0.170230 | + | 0.166460i | ||||
\(722\) | −52.0277 | − | 2.99934i | −1.93627 | − | 0.111624i | ||||
\(723\) | 45.8359 | + | 26.1385i | 1.70465 | + | 0.972101i | ||||
\(724\) | 11.6182 | − | 63.0051i | 0.431789 | − | 2.34157i | ||||
\(725\) | −65.8414 | − | 13.6724i | −2.44529 | − | 0.507782i | ||||
\(726\) | −41.6592 | + | 28.9829i | −1.54612 | + | 1.07566i | ||||
\(727\) | 24.5511 | − | 15.2782i | 0.910548 | − | 0.566636i | 0.00930850 | − | 0.999957i | \(-0.497037\pi\) |
0.901240 | + | 0.433320i | \(0.142658\pi\) | |||||||
\(728\) | 25.2106 | − | 31.0851i | 0.934368 | − | 1.15209i | ||||
\(729\) | 42.2303 | − | 2.97716i | 1.56408 | − | 0.110265i | ||||
\(730\) | −2.41769 | − | 58.0989i | −0.0894826 | − | 2.15034i | ||||
\(731\) | −4.80993 | − | 2.78386i | −0.177902 | − | 0.102965i | ||||
\(732\) | 21.7351 | − | 72.5376i | 0.803351 | − | 2.68107i | ||||
\(733\) | 1.17072 | − | 2.09953i | 0.0432416 | − | 0.0775477i | −0.850911 | − | 0.525309i | \(-0.823950\pi\) |
0.894153 | + | 0.447761i | \(0.147779\pi\) | |||||||
\(734\) | 12.4207 | + | 2.66225i | 0.458455 | + | 0.0982654i | ||||
\(735\) | 65.4484 | + | 25.9516i | 2.41410 | + | 0.957240i | ||||
\(736\) | −1.55718 | − | 25.5865i | −0.0573983 | − | 0.943130i | ||||
\(737\) | 9.46725 | − | 7.14094i | 0.348731 | − | 0.263040i | ||||
\(738\) | −132.640 | + | 17.9302i | −4.88253 | + | 0.660020i | ||||
\(739\) | 10.4789 | + | 46.6975i | 0.385473 | + | 1.71780i | 0.655720 | + | 0.755005i | \(0.272365\pi\) |
−0.270246 | + | 0.962791i | \(0.587105\pi\) | |||||||
\(740\) | 8.21333 | − | 5.40757i | 0.301928 | − | 0.198786i | ||||
\(741\) | 49.2100 | − | 101.591i | 1.80778 | − | 3.73204i | ||||
\(742\) | −17.5022 | − | 0.111987i | −0.642527 | − | 0.00411117i | ||||
\(743\) | −10.1841 | − | 10.8924i | −0.373619 | − | 0.399603i | 0.515789 | − | 0.856715i | \(-0.327499\pi\) |
−0.889409 | + | 0.457113i | \(0.848884\pi\) | |||||||
\(744\) | −16.5377 | − | 20.3912i | −0.606301 | − | 0.747578i | ||||
\(745\) | 23.5107 | + | 8.12436i | 0.861364 | + | 0.297654i | ||||
\(746\) | 10.1977 | + | 3.89332i | 0.373363 | + | 0.142544i | ||||
\(747\) | 59.6855 | + | 52.6674i | 2.18378 | + | 1.92700i | ||||
\(748\) | 13.0288 | + | 3.94939i | 0.476380 | + | 0.144404i | ||||
\(749\) | −24.1894 | − | 17.7645i | −0.883861 | − | 0.649101i | ||||
\(750\) | −57.3632 | + | 35.1901i | −2.09461 | + | 1.28496i | ||||
\(751\) | −0.0831003 | + | 25.9754i | −0.00303237 | + | 0.947857i | 0.879041 | + | 0.476745i | \(0.158184\pi\) |
−0.882074 | + | 0.471111i | \(0.843853\pi\) | |||||||
\(752\) | −10.2253 | + | 6.54620i | −0.372877 | + | 0.238715i | ||||
\(753\) | −18.1068 | + | 17.4806i | −0.659849 | + | 0.637027i | ||||
\(754\) | −23.8056 | + | 109.356i | −0.866950 | + | 3.98252i | ||||
\(755\) | −19.1837 | + | 78.4126i | −0.698168 | + | 2.85373i | ||||
\(756\) | 31.7641 | + | 53.6866i | 1.15525 | + | 1.95256i | ||||
\(757\) | −1.23171 | + | 1.25158i | −0.0447674 | + | 0.0454893i | −0.734760 | − | 0.678327i | \(-0.762705\pi\) |
0.689993 | + | 0.723816i | \(0.257614\pi\) | |||||||
\(758\) | 4.70909 | − | 6.54294i | 0.171042 | − | 0.237650i | ||||
\(759\) | 7.62442 | − | 14.9993i | 0.276749 | − | 0.544441i | ||||
\(760\) | 24.8304 | − | 33.5851i | 0.900694 | − | 1.21826i | ||||
\(761\) | −15.0637 | + | 22.4084i | −0.546059 | + | 0.812303i | −0.996765 | − | 0.0803693i | \(-0.974390\pi\) |
0.450706 | + | 0.892672i | \(0.351172\pi\) | |||||||
\(762\) | −3.49169 | − | 1.65016i | −0.126490 | − | 0.0597791i | ||||
\(763\) | −0.0472176 | + | 0.0133290i | −0.00170939 | + | 0.000482541i | ||||
\(764\) | 16.5815 | + | 35.3785i | 0.599899 | + | 1.27995i | ||||
\(765\) | 48.9044 | − | 19.3916i | 1.76814 | − | 0.701104i | ||||
\(766\) | −33.3611 | + | 5.60163i | −1.20538 | + | 0.202395i | ||||
\(767\) | −36.6663 | − | 49.5941i | −1.32395 | − | 1.79074i | ||||
\(768\) | −9.33350 | + | 0.418313i | −0.336794 | + | 0.0150946i | ||||
\(769\) | −10.0837 | − | 5.92264i | −0.363628 | − | 0.213576i | 0.313250 | − | 0.949671i | \(-0.398582\pi\) |
−0.676878 | + | 0.736095i | \(0.736668\pi\) | |||||||
\(770\) | −49.0823 | + | 8.56461i | −1.76880 | + | 0.308647i | ||||
\(771\) | 58.4522 | − | 5.62726i | 2.10510 | − | 0.202661i | ||||
\(772\) | −1.79067 | − | 10.8775i | −0.0644477 | − | 0.391490i | ||||
\(773\) | 52.5920 | + | 14.8461i | 1.89160 | + | 0.533977i | 0.996025 | + | 0.0890730i | \(0.0283905\pi\) |
0.895578 | + | 0.444904i | \(0.146762\pi\) | |||||||
\(774\) | 16.3534 | + | 14.2455i | 0.587813 | + | 0.512042i | ||||
\(775\) | 22.7748 | − | 34.8338i | 0.818096 | − | 1.25127i | ||||
\(776\) | 4.07067 | − | 3.11149i | 0.146129 | − | 0.111696i | ||||
\(777\) | 6.58572 | − | 7.91117i | 0.236261 | − | 0.283812i | ||||
\(778\) | 5.64144 | − | 7.04768i | 0.202256 | − | 0.252671i | ||||
\(779\) | 57.7220 | + | 52.9396i | 2.06810 | + | 1.89676i | ||||
\(780\) | 89.9254 | + | 149.794i | 3.21984 | + | 5.36347i | ||||
\(781\) | 4.24146 | − | 3.03212i | 0.151772 | − | 0.108498i | ||||
\(782\) | 21.5023 | − | 4.32179i | 0.768921 | − | 0.154547i | ||||
\(783\) | −42.2751 | − | 27.0644i | −1.51079 | − | 0.967204i | ||||
\(784\) | −6.43815 | + | 9.98601i | −0.229934 | + | 0.356643i | ||||
\(785\) | −69.0074 | + | 11.1335i | −2.46298 | + | 0.397370i | ||||
\(786\) | 50.1249 | − | 13.4596i | 1.78789 | − | 0.480087i | ||||
\(787\) | −3.11922 | − | 42.3151i | −0.111188 | − | 1.50837i | −0.708128 | − | 0.706084i | \(-0.750460\pi\) |
0.596940 | − | 0.802286i | \(-0.296383\pi\) | |||||||
\(788\) | −5.42921 | − | 2.19310i | −0.193408 | − | 0.0781258i | ||||
\(789\) | 7.95419 | − | 28.5263i | 0.283177 | − | 1.01556i | ||||
\(790\) | −70.7250 | − | 67.4100i | −2.51628 | − | 2.39834i | ||||
\(791\) | 10.6674 | − | 8.82254i | 0.379289 | − | 0.313693i | ||||
\(792\) | −13.5167 | − | 7.14512i | −0.480296 | − | 0.253891i | ||||
\(793\) | −0.551752 | − | 57.4872i | −0.0195933 | − | 2.04143i | ||||
\(794\) | 9.60853 | + | 3.95300i | 0.340994 | + | 0.140287i | ||||
\(795\) | 7.64461 | − | 20.6149i | 0.271126 | − | 0.731136i | ||||
\(796\) | 27.4747 | − | 10.0885i | 0.973814 | − | 0.357579i | ||||
\(797\) | 5.16339 | + | 1.28075i | 0.182897 | + | 0.0453666i | 0.331126 | − | 0.943586i | \(-0.392571\pi\) |
−0.148230 | + | 0.988953i | \(0.547357\pi\) | |||||||
\(798\) | 50.9978 | − | 143.116i | 1.80530 | − | 5.06623i | ||||
\(799\) | −13.0484 | − | 15.2727i | −0.461618 | − | 0.540311i | ||||
\(800\) | −20.3945 | − | 54.9970i | −0.721053 | − | 1.94444i | ||||
\(801\) | −1.30447 | + | 37.0531i | −0.0460912 | + | 1.30921i | ||||
\(802\) | −5.70818 | − | 11.4097i | −0.201563 | − | 0.402891i | ||||
\(803\) | 9.64891 | + | 7.87678i | 0.340503 | + | 0.277965i | ||||
\(804\) | −50.4469 | − | 24.2371i | −1.77912 | − | 0.854778i | ||||
\(805\) | −36.8765 | + | 28.9422i | −1.29973 | + | 1.02008i | ||||
\(806\) | −57.6074 | − | 38.4587i | −2.02913 | − | 1.35465i | ||||
\(807\) | −16.4536 | − | 75.5830i | −0.579193 | − | 2.66065i | ||||
\(808\) | 23.7193 | + | 0.607190i | 0.834441 | + | 0.0213609i | ||||
\(809\) | 0.242844 | + | 1.84079i | 0.00853793 | + | 0.0647187i | 0.995151 | − | 0.0983615i | \(-0.0313601\pi\) |
−0.986613 | + | 0.163080i | \(0.947857\pi\) | |||||||
\(810\) | −13.0964 | + | 2.45834i | −0.460160 | + | 0.0863773i | ||||
\(811\) | 0.220247 | − | 13.7678i | 0.00773392 | − | 0.483453i | −0.966346 | − | 0.257247i | \(-0.917185\pi\) |
0.974080 | − | 0.226206i | \(-0.0726322\pi\) | |||||||
\(812\) | −9.27041 | + | 87.4841i | −0.325328 | + | 3.07009i | ||||
\(813\) | −22.2401 | − | 11.9391i | −0.779995 | − | 0.418722i | ||||
\(814\) | −0.517431 | + | 3.56933i | −0.0181359 | + | 0.125105i | ||||
\(815\) | 20.5568 | − | 58.8775i | 0.720075 | − | 2.06239i | ||||
\(816\) | 2.55767 | + | 13.8701i | 0.0895363 | + | 0.485551i | ||||
\(817\) | 0.284185 | − | 12.6880i | 0.00994237 | − | 0.443896i | ||||
\(818\) | −17.7539 | + | 7.70575i | −0.620752 | + | 0.269425i | ||||
\(819\) | 85.3383 | + | 77.2685i | 2.98196 | + | 2.69998i | ||||
\(820\) | −117.469 | + | 29.9367i | −4.10219 | + | 1.04543i | ||||
\(821\) | 33.2640 | + | 34.2358i | 1.16092 | + | 1.19484i | 0.977304 | + | 0.211841i | \(0.0679458\pi\) |
0.183618 | + | 0.982998i | \(0.441219\pi\) | |||||||
\(822\) | −25.9140 | − | 8.58525i | −0.903853 | − | 0.299445i | ||||
\(823\) | 27.5088 | − | 37.7102i | 0.958896 | − | 1.31449i | 0.00965186 | − | 0.999953i | \(-0.496928\pi\) |
0.949244 | − | 0.314540i | \(-0.101850\pi\) | |||||||
\(824\) | −2.96191 | + | 0.694576i | −0.103183 | + | 0.0241967i | ||||
\(825\) | 6.73970 | − | 37.9075i | 0.234646 | − | 1.31977i | ||||
\(826\) | −56.3045 | − | 60.9979i | −1.95908 | − | 2.12239i | ||||
\(827\) | 18.6200 | − | 39.0753i | 0.647482 | − | 1.35878i | −0.270716 | − | 0.962659i | \(-0.587261\pi\) |
0.918199 | − | 0.396120i | \(-0.129644\pi\) | |||||||
\(828\) | −49.9869 | + | 0.319839i | −1.73717 | + | 0.0111152i | ||||
\(829\) | −9.92579 | − | 10.4808i | −0.344737 | − | 0.364015i | 0.530521 | − | 0.847672i | \(-0.321996\pi\) |
−0.875257 | + | 0.483657i | \(0.839308\pi\) | |||||||
\(830\) | 101.330 | + | 70.4970i | 3.51723 | + | 2.44699i | ||||
\(831\) | 22.2140 | + | 1.13806i | 0.770594 | + | 0.0394788i | ||||
\(832\) | −72.0944 | + | 25.9504i | −2.49942 | + | 0.899667i | ||||
\(833\) | −17.8266 | − | 8.28567i | −0.617653 | − | 0.287082i | ||||
\(834\) | −2.92930 | − | 11.3426i | −0.101433 | − | 0.392761i | ||||
\(835\) | −58.2221 | − | 24.8287i | −2.01486 | − | 0.859233i | ||||
\(836\) | 6.41852 | + | 30.4200i | 0.221989 | + | 1.05210i | ||||
\(837\) | 25.1566 | − | 18.2282i | 0.869538 | − | 0.630058i | ||||
\(838\) | 6.86165 | + | 17.1444i | 0.237032 | + | 0.592243i | ||||
\(839\) | −11.0658 | + | 11.9882i | −0.382035 | + | 0.413880i | −0.896087 | − | 0.443879i | \(-0.853602\pi\) |
0.514052 | + | 0.857759i | \(0.328144\pi\) | |||||||
\(840\) | 40.9218 | + | 53.8933i | 1.41193 | + | 1.85950i | ||||
\(841\) | −14.7811 | − | 39.0907i | −0.509694 | − | 1.34795i | ||||
\(842\) | 4.88361 | − | 21.7630i | 0.168300 | − | 0.750002i | ||||
\(843\) | −1.21537 | + | 14.0353i | −0.0418594 | + | 0.483403i | ||||
\(844\) | 7.99953 | − | 15.2510i | 0.275355 | − | 0.524959i | ||||
\(845\) | 63.9578 | + | 57.1694i | 2.20022 | + | 1.96669i | ||||
\(846\) | 38.6156 | + | 68.2217i | 1.32763 | + | 2.34551i | ||||
\(847\) | −15.9194 | + | 25.7648i | −0.546997 | + | 0.885291i | ||||
\(848\) | 3.16272 | + | 1.94021i | 0.108608 | + | 0.0666270i | ||||
\(849\) | −24.6740 | − | 60.5244i | −0.846808 | − | 2.07719i | ||||
\(850\) | 44.2181 | − | 23.7375i | 1.51667 | − | 0.814188i | ||||
\(851\) | 1.15947 | + | 3.18915i | 0.0397461 | + | 0.109323i | ||||
\(852\) | −21.9001 | − | 11.2205i | −0.750285 | − | 0.384408i | ||||
\(853\) | −0.145983 | + | 0.738535i | −0.00499836 | + | 0.0252870i | −0.983436 | − | 0.181254i | \(-0.941984\pi\) |
0.978438 | + | 0.206541i | \(0.0662207\pi\) | |||||||
\(854\) | −9.13767 | − | 76.8352i | −0.312684 | − | 2.62925i | ||||
\(855\) | 92.5781 | + | 76.5673i | 3.16610 | + | 2.61855i | ||||
\(856\) | −5.47589 | − | 13.1901i | −0.187162 | − | 0.450829i | ||||
\(857\) | −8.10199 | + | 39.6530i | −0.276759 | + | 1.35452i | 0.569606 | + | 0.821918i | \(0.307096\pi\) |
−0.846365 | + | 0.532603i | \(0.821214\pi\) | |||||||
\(858\) | −62.9787 | − | 11.8218i | −2.15006 | − | 0.403591i | ||||
\(859\) | 0.00388993 | − | 0.0714539i | 0.000132723 | − | 0.00243798i | −0.998454 | − | 0.0555782i | \(-0.982300\pi\) |
0.998587 | + | 0.0531402i | \(0.0169230\pi\) | |||||||
\(860\) | 16.1958 | + | 11.1145i | 0.552271 | + | 0.379002i | ||||
\(861\) | −108.585 | + | 65.6602i | −3.70057 | + | 2.23769i | ||||
\(862\) | −16.6113 | − | 2.13737i | −0.565782 | − | 0.0727992i | ||||
\(863\) | −1.08085 | + | 1.99804i | −0.0367926 | + | 0.0680142i | −0.897293 | − | 0.441436i | \(-0.854469\pi\) |
0.860500 | + | 0.509451i | \(0.170151\pi\) | |||||||
\(864\) | 0.420219 | − | 43.7827i | 0.0142961 | − | 1.48952i | ||||
\(865\) | −16.1530 | + | 38.2163i | −0.549218 | + | 1.29939i | ||||
\(866\) | −11.3840 | + | 35.4994i | −0.386843 | + | 1.20632i | ||||
\(867\) | 23.7674 | − | 7.87409i | 0.807183 | − | 0.267418i | ||||
\(868\) | −48.2972 | − | 25.1365i | −1.63931 | − | 0.853187i | ||||
\(869\) | 20.8562 | − | 1.73880i | 0.707498 | − | 0.0589848i | ||||
\(870\) | −170.031 | − | 83.0346i | −5.76460 | − | 2.81514i | ||||
\(871\) | −42.0311 | − | 6.23043i | −1.42417 | − | 0.211110i | ||||
\(872\) | −0.0225095 | − | 0.00619893i | −0.000762267 | − | 0.000209922i | ||||
\(873\) | 8.30009 | + | 12.1780i | 0.280916 | + | 0.412162i | ||||
\(874\) | 32.2895 | + | 38.2873i | 1.09221 | + | 1.29509i | ||||
\(875\) | −23.0415 | + | 32.8942i | −0.778945 | + | 1.11203i | ||||
\(876\) | 12.1365 | − | 57.5198i | 0.410054 | − | 1.94342i | ||||
\(877\) | 7.31041 | + | 16.4100i | 0.246855 | + | 0.554127i | 0.993854 | − | 0.110698i | \(-0.0353086\pi\) |
−0.746999 | + | 0.664825i | \(0.768506\pi\) | |||||||
\(878\) | 3.71579 | + | 77.3728i | 0.125402 | + | 2.61121i | ||||
\(879\) | −7.83410 | − | 2.04997i | −0.264238 | − | 0.0691438i | ||||
\(880\) | 9.84330 | + | 3.83037i | 0.331818 | + | 0.129122i | ||||
\(881\) | 13.8944 | − | 31.1894i | 0.468114 | − | 1.05080i | −0.513180 | − | 0.858281i | \(-0.671533\pi\) |
0.981294 | − | 0.192517i | \(-0.0616649\pi\) | |||||||
\(882\) | 62.1218 | + | 45.0128i | 2.09175 | + | 1.51566i | ||||
\(883\) | −2.44669 | + | 9.73057i | −0.0823376 | + | 0.327460i | −0.997060 | − | 0.0766227i | \(-0.975586\pi\) |
0.914723 | + | 0.404082i | \(0.132409\pi\) | |||||||
\(884\) | −22.6594 | − | 43.1997i | −0.762117 | − | 1.45296i | ||||
\(885\) | 96.1810 | − | 40.2908i | 3.23309 | − | 1.35436i | ||||
\(886\) | −28.1562 | + | 1.44249i | −0.945927 | + | 0.0484614i | ||||
\(887\) | −15.9885 | − | 9.94969i | −0.536842 | − | 0.334078i | 0.232830 | − | 0.972517i | \(-0.425201\pi\) |
−0.769672 | + | 0.638439i | \(0.779580\pi\) | |||||||
\(888\) | 4.62977 | − | 1.59987i | 0.155365 | − | 0.0536880i | ||||
\(889\) | −2.30357 | − | 0.0737206i | −0.0772594 | − | 0.00247251i | ||||
\(890\) | 4.59360 | + | 57.3122i | 0.153978 | + | 1.92111i | ||||
\(891\) | 1.46910 | − | 2.44717i | 0.0492169 | − | 0.0819832i | ||||
\(892\) | −70.4276 | + | 20.8575i | −2.35809 | + | 0.698362i | ||||
\(893\) | 16.2245 | − | 42.9078i | 0.542932 | − | 1.43586i | ||||
\(894\) | 35.9633 | + | 23.6779i | 1.20279 | + | 0.791906i | ||||
\(895\) | −51.5559 | + | 30.7265i | −1.72332 | + | 1.02708i | ||||
\(896\) | −43.5570 | + | 21.2710i | −1.45514 | + | 0.710614i | ||||
\(897\) | −57.4686 | + | 18.2265i | −1.91882 | + | 0.608566i | ||||
\(898\) | 1.14375 | − | 6.68080i | 0.0381676 | − | 0.222941i | ||||
\(899\) | 43.8093 | + | 0.560646i | 1.46112 | + | 0.0186986i | ||||
\(900\) | −109.252 | + | 33.8821i | −3.64172 | + | 1.12940i | ||||
\(901\) | −2.46219 | + | 5.62351i | −0.0820273 | + | 0.187346i | ||||
\(902\) | 20.3998 | − | 39.5043i | 0.679240 | − | 1.31535i | ||||
\(903\) | 19.5993 | + | 6.21605i | 0.652225 | + | 0.206857i | ||||
\(904\) | 6.51627 | − | 0.965932i | 0.216728 | − | 0.0321264i | ||||
\(905\) | 81.6308 | + | 9.97294i | 2.71350 | + | 0.331512i | ||||
\(906\) | −65.6978 | + | 123.327i | −2.18266 | + | 4.09726i | ||||
\(907\) | 13.6155 | + | 48.8296i | 0.452095 | + | 1.62136i | 0.746295 | + | 0.665615i | \(0.231831\pi\) |
−0.294200 | + | 0.955744i | \(0.595053\pi\) | |||||||
\(908\) | −4.32911 | + | 38.5010i | −0.143666 | + | 1.27770i | ||||
\(909\) | −5.45261 | + | 68.0297i | −0.180852 | + | 2.25640i | ||||
\(910\) | 145.232 | + | 103.823i | 4.81440 | + | 3.44170i | ||||
\(911\) | 40.8152 | + | 18.3392i | 1.35227 | + | 0.607606i | 0.951238 | − | 0.308459i | \(-0.0998132\pi\) |
0.401030 | + | 0.916065i | \(0.368652\pi\) | |||||||
\(912\) | −24.9502 | + | 20.3678i | −0.826185 | + | 0.674446i | ||||
\(913\) | −25.7039 | + | 6.20141i | −0.850675 | + | 0.205237i | ||||
\(914\) | 2.49213 | − | 5.79250i | 0.0824324 | − | 0.191599i | ||||
\(915\) | 94.6332 | + | 22.1918i | 3.12848 | + | 0.733637i | ||||
\(916\) | 17.1808 | − | 14.7739i | 0.567670 | − | 0.488143i | ||||
\(917\) | 24.2423 | − | 19.2782i | 0.800550 | − | 0.636623i | ||||
\(918\) | 37.1560 | − | 4.78087i | 1.22633 | − | 0.157792i | ||||
\(919\) | −6.84915 | + | 17.7690i | −0.225933 | + | 0.586144i | −0.998829 | − | 0.0483883i | \(-0.984592\pi\) |
0.772896 | + | 0.634533i | \(0.218807\pi\) | |||||||
\(920\) | −22.1430 | + | 2.70524i | −0.730034 | + | 0.0891892i | ||||
\(921\) | −67.4460 | + | 18.5741i | −2.22242 | + | 0.612038i | ||||
\(922\) | −15.1365 | − | 12.8484i | −0.498493 | − | 0.423140i | ||||
\(923\) | −18.4037 | − | 3.21136i | −0.605767 | − | 0.105703i | ||||
\(924\) | −50.2214 | − | 3.86361i | −1.65216 | − | 0.127103i | ||||
\(925\) | 4.65605 | + | 6.21410i | 0.153090 | + | 0.204318i | ||||
\(926\) | 13.2992 | + | 30.9115i | 0.437038 | + | 1.01581i | ||||
\(927\) | −1.53179 | − | 8.61556i | −0.0503106 | − | 0.282972i | ||||
\(928\) | 37.3422 | − | 49.1791i | 1.22582 | − | 1.61438i | ||||
\(929\) | −18.1141 | − | 5.36459i | −0.594305 | − | 0.176007i | −0.0271688 | − | 0.999631i | \(-0.508649\pi\) |
−0.567136 | + | 0.823624i | \(0.691949\pi\) | |||||||
\(930\) | 86.3072 | − | 79.1566i | 2.83012 | − | 2.59565i | ||||
\(931\) | −3.01367 | − | 44.7903i | −0.0987691 | − | 1.46794i | ||||
\(932\) | −62.3098 | − | 5.99864i | −2.04103 | − | 0.196492i | ||||
\(933\) | 51.2488 | − | 3.94265i | 1.67781 | − | 0.129076i | ||||
\(934\) | −60.8921 | − | 69.4528i | −1.99245 | − | 2.27257i | ||||
\(935\) | −4.04421 | + | 17.0010i | −0.132260 | + | 0.555992i | ||||
\(936\) | 15.7243 | + | 52.4777i | 0.513966 | + | 1.71529i | ||||
\(937\) | 4.51589 | + | 0.998201i | 0.147528 | + | 0.0326098i | 0.288979 | − | 0.957335i | \(-0.406684\pi\) |
−0.141452 | + | 0.989945i | \(0.545177\pi\) | |||||||
\(938\) | −57.1465 | − | 2.19494i | −1.86590 | − | 0.0716673i | ||||
\(939\) | 33.1570 | + | 28.5119i | 1.08204 | + | 0.930452i | ||||
\(940\) | 41.8427 | + | 57.3596i | 1.36476 | + | 1.87087i | ||||
\(941\) | 9.41425 | + | 29.3571i | 0.306896 | + | 0.957014i | 0.976724 | + | 0.214498i | \(0.0688116\pi\) |
−0.669829 | + | 0.742516i | \(0.733632\pi\) | |||||||
\(942\) | −120.511 | − | 10.8239i | −3.92645 | − | 0.352663i | ||||
\(943\) | −0.669106 | − | 41.8263i | −0.0217891 | − | 1.36205i | ||||
\(944\) | 3.52285 | + | 17.2416i | 0.114659 | + | 0.561168i | ||||
\(945\) | −66.3088 | + | 44.8838i | −2.15703 | + | 1.46007i | ||||
\(946\) | −6.99236 | + | 1.73442i | −0.227341 | + | 0.0563908i | ||||
\(947\) | −1.39153 | + | 13.9851i | −0.0452185 | + | 0.454453i | 0.946186 | + | 0.323623i | \(0.104901\pi\) |
−0.991405 | + | 0.130831i | \(0.958236\pi\) | |||||||
\(948\) | −52.4558 | − | 83.6950i | −1.70368 | − | 2.71829i | ||||
\(949\) | −4.13473 | − | 44.4387i | −0.134219 | − | 1.44254i | ||||
\(950\) | 96.1247 | + | 62.4095i | 3.11870 | + | 2.02483i | ||||
\(951\) | 7.53478 | + | 0.337697i | 0.244332 | + | 0.0109506i | ||||
\(952\) | −10.5408 | − | 15.6802i | −0.341629 | − | 0.508199i | ||||
\(953\) | 5.04654 | + | 33.3094i | 0.163473 | + | 1.07900i | 0.910291 | + | 0.413969i | \(0.135858\pi\) |
−0.746817 | + | 0.665029i | \(0.768419\pi\) | |||||||
\(954\) | 13.6189 | − | 19.7096i | 0.440928 | − | 0.638122i | ||||
\(955\) | −44.0355 | + | 24.0036i | −1.42495 | + | 0.776740i | ||||
\(956\) | −0.778631 | − | 22.1167i | −0.0251827 | − | 0.715306i | ||||
\(957\) | 37.4839 | − | 15.4211i | 1.21168 | − | 0.498493i | ||||
\(958\) | 23.7336 | + | 56.1513i | 0.766797 | + | 1.81417i | ||||
\(959\) | −16.2262 | + | 1.45740i | −0.523972 | + | 0.0470618i | ||||
\(960\) | −13.6515 | − | 128.828i | −0.440599 | − | 4.15789i | ||||
\(961\) | 1.46634 | − | 3.59687i | 0.0473012 | − | 0.116028i | ||||
\(962\) | 10.4160 | − | 7.64943i | 0.335825 | − | 0.246628i | ||||
\(963\) | 38.7399 | − | 13.6651i | 1.24838 | − | 0.440351i | ||||
\(964\) | 41.3704 | + | 31.6222i | 1.33245 | + | 1.01848i | ||||
\(965\) | 13.7971 | − | 3.14247i | 0.444145 | − | 0.101160i | ||||
\(966\) | −74.2279 | + | 32.7832i | −2.38825 | + | 1.05478i | ||||
\(967\) | −3.30216 | − | 11.5563i | −0.106190 | − | 0.371625i | 0.890296 | − | 0.455382i | \(-0.150497\pi\) |
−0.996486 | + | 0.0837571i | \(0.973308\pi\) | |||||||
\(968\) | −12.8267 | + | 6.57176i | −0.412266 | + | 0.211224i | ||||
\(969\) | −39.0412 | − | 36.2692i | −1.25418 | − | 1.16514i | ||||
\(970\) | 14.9564 | + | 17.2809i | 0.480220 | + | 0.554856i | ||||
\(971\) | 16.4240 | + | 37.5117i | 0.527072 | + | 1.20381i | 0.954078 | + | 0.299558i | \(0.0968391\pi\) |
−0.427006 | + | 0.904249i | \(0.640432\pi\) | |||||||
\(972\) | 36.7122 | + | 2.35219i | 1.17755 | + | 0.0754466i | ||||
\(973\) | −4.29867 | − | 5.51335i | −0.137809 | − | 0.176750i | ||||
\(974\) | −7.81760 | − | 12.8354i | −0.250492 | − | 0.411272i | ||||
\(975\) | −113.749 | + | 78.0615i | −3.64288 | + | 2.49997i | ||||
\(976\) | −6.77075 | + | 14.9407i | −0.216726 | + | 0.478240i | ||||
\(977\) | 0.847852 | − | 0.767676i | 0.0271252 | − | 0.0245601i | −0.657514 | − | 0.753443i | \(-0.728392\pi\) |
0.684639 | + | 0.728883i | \(0.259960\pi\) | |||||||
\(978\) | 59.6503 | − | 89.9722i | 1.90740 | − | 2.87699i | ||||
\(979\) | −9.83242 | − | 7.41639i | −0.314245 | − | 0.237029i | ||||
\(980\) | 60.5755 | + | 34.0322i | 1.93501 | + | 1.08712i | ||||
\(981\) | 0.0213236 | − | 0.0636807i | 0.000680811 | − | 0.00203317i | ||||
\(982\) | 37.1631 | 1.18592 | ||||||||
\(983\) | −14.2811 | − | 27.9115i | −0.455496 | − | 0.890238i | ||||
\(984\) | −60.3846 | −1.92499 | ||||||||
\(985\) | 2.38654 | − | 7.12715i | 0.0760416 | − | 0.227090i | ||||
\(986\) | 46.0615 | + | 25.8780i | 1.46690 | + | 0.824124i | ||||
\(987\) | 59.3342 | + | 44.7546i | 1.88863 | + | 1.42455i | ||||
\(988\) | 61.5563 | − | 92.8472i | 1.95837 | − | 2.95386i | ||||
\(989\) | −5.02464 | + | 4.54949i | −0.159774 | + | 0.144666i | ||||
\(990\) | 28.1498 | − | 62.1170i | 0.894661 | − | 1.97421i | ||||
\(991\) | 11.2513 | − | 7.72134i | 0.357410 | − | 0.245276i | −0.373680 | − | 0.927558i | \(-0.621904\pi\) |
0.731090 | + | 0.682281i | \(0.239012\pi\) | |||||||
\(992\) | 19.8795 | + | 32.6393i | 0.631174 | + | 1.03630i | ||||
\(993\) | −56.4651 | − | 72.4205i | −1.79187 | − | 2.29820i | ||||
\(994\) | −25.0928 | − | 1.60772i | −0.795895 | − | 0.0509938i | ||||
\(995\) | 15.0682 | + | 34.4151i | 0.477695 | + | 1.09103i | ||||
\(996\) | 81.6674 | + | 94.3601i | 2.58773 | + | 2.98991i | ||||
\(997\) | −2.48584 | − | 2.30934i | −0.0787273 | − | 0.0731375i | 0.640273 | − | 0.768148i | \(-0.278821\pi\) |
−0.719000 | + | 0.695010i | \(0.755400\pi\) | |||||||
\(998\) | 3.49104 | − | 1.78863i | 0.110507 | − | 0.0566182i | ||||
\(999\) | 1.59249 | + | 5.57312i | 0.0503843 | + | 0.176326i |
(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 | 983.2.c.a.2.10 | ✓ | 39690 | |
983.492 | even | 491 | inner | 983.2.c.a.492.10 | yes | 39690 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
983.2.c.a.2.10 | ✓ | 39690 | 1.1 | even | 1 | trivial | |
983.2.c.a.492.10 | yes | 39690 | 983.492 | even | 491 | inner |