Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,4,Mod(11,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.11");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.l (of order \(18\), degree \(6\), 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: | \(6.37220628062\) |
Analytic rank: | \(0\) |
Dimension: | \(312\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 11.3 | ||
Character | \(\chi\) | \(=\) | 108.11 |
Dual form | 108.4.l.a.59.3 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.76593 | + | 0.591311i | −0.977903 | + | 0.209060i | ||||
\(3\) | −5.08011 | + | 1.09199i | −0.977668 | + | 0.210154i | ||||
\(4\) | 7.30070 | − | 3.27105i | 0.912588 | − | 0.408881i | ||||
\(5\) | −6.87889 | + | 18.8996i | −0.615266 | + | 1.69043i | 0.103016 | + | 0.994680i | \(0.467151\pi\) |
−0.718283 | + | 0.695751i | \(0.755072\pi\) | |||||||
\(6\) | 13.4055 | − | 6.02429i | 0.912130 | − | 0.409901i | ||||
\(7\) | 22.1047 | + | 3.89766i | 1.19354 | + | 0.210454i | 0.734905 | − | 0.678170i | \(-0.237227\pi\) |
0.458637 | + | 0.888624i | \(0.348338\pi\) | |||||||
\(8\) | −18.2590 | + | 13.3645i | −0.806942 | + | 0.590631i | ||||
\(9\) | 24.6151 | − | 11.0949i | 0.911671 | − | 0.410921i | ||||
\(10\) | 7.85096 | − | 56.3424i | 0.248269 | − | 1.78170i | ||||
\(11\) | −8.65672 | + | 3.15079i | −0.237282 | + | 0.0863635i | −0.457924 | − | 0.888991i | \(-0.651407\pi\) |
0.220642 | + | 0.975355i | \(0.429185\pi\) | |||||||
\(12\) | −33.5164 | + | 24.5896i | −0.806280 | + | 0.591533i | ||||
\(13\) | −50.5865 | + | 42.4471i | −1.07924 | + | 0.905594i | −0.995858 | − | 0.0909234i | \(-0.971018\pi\) |
−0.0833869 | + | 0.996517i | \(0.526574\pi\) | |||||||
\(14\) | −63.4447 | + | 2.29013i | −1.21117 | + | 0.0437187i | ||||
\(15\) | 14.3074 | − | 103.524i | 0.246276 | − | 1.78198i | ||||
\(16\) | 42.6005 | − | 47.7619i | 0.665633 | − | 0.746279i | ||||
\(17\) | −28.8132 | + | 16.6353i | −0.411072 | + | 0.237333i | −0.691250 | − | 0.722615i | \(-0.742940\pi\) |
0.280178 | + | 0.959948i | \(0.409607\pi\) | |||||||
\(18\) | −61.5231 | + | 45.2428i | −0.805618 | + | 0.592435i | ||||
\(19\) | −47.2000 | − | 27.2509i | −0.569917 | − | 0.329042i | 0.187199 | − | 0.982322i | \(-0.440059\pi\) |
−0.757116 | + | 0.653280i | \(0.773392\pi\) | |||||||
\(20\) | 11.6007 | + | 160.481i | 0.129700 | + | 1.79424i | ||||
\(21\) | −116.551 | + | 4.33759i | −1.21112 | + | 0.0450733i | ||||
\(22\) | 22.0808 | − | 13.8337i | 0.213983 | − | 0.134061i | ||||
\(23\) | −24.3591 | − | 138.147i | −0.220836 | − | 1.25242i | −0.870487 | − | 0.492191i | \(-0.836196\pi\) |
0.649651 | − | 0.760233i | \(-0.274915\pi\) | |||||||
\(24\) | 78.1640 | − | 87.8316i | 0.664798 | − | 0.747023i | ||||
\(25\) | −214.120 | − | 179.668i | −1.71296 | − | 1.43734i | ||||
\(26\) | 114.819 | − | 147.318i | 0.866073 | − | 1.11121i | ||||
\(27\) | −112.932 | + | 83.2427i | −0.804955 | + | 0.593336i | ||||
\(28\) | 174.129 | − | 43.8499i | 1.17526 | − | 0.295959i | ||||
\(29\) | 60.0544 | − | 71.5700i | 0.384546 | − | 0.458284i | −0.538698 | − | 0.842499i | \(-0.681084\pi\) |
0.923243 | + | 0.384215i | \(0.125528\pi\) | |||||||
\(30\) | 21.6416 | + | 294.799i | 0.131707 | + | 1.79409i | ||||
\(31\) | −13.8120 | + | 2.43543i | −0.0800231 | + | 0.0141102i | −0.213516 | − | 0.976939i | \(-0.568492\pi\) |
0.133493 | + | 0.991050i | \(0.457381\pi\) | |||||||
\(32\) | −89.5878 | + | 157.296i | −0.494907 | + | 0.868946i | ||||
\(33\) | 40.5365 | − | 25.4594i | 0.213833 | − | 0.134300i | ||||
\(34\) | 69.8586 | − | 63.0497i | 0.352372 | − | 0.318027i | ||||
\(35\) | −225.720 | + | 390.958i | −1.09010 | + | 1.88811i | ||||
\(36\) | 143.416 | − | 161.518i | 0.663962 | − | 0.747766i | ||||
\(37\) | 171.170 | + | 296.475i | 0.760545 | + | 1.31730i | 0.942570 | + | 0.334009i | \(0.108402\pi\) |
−0.182025 | + | 0.983294i | \(0.558265\pi\) | |||||||
\(38\) | 146.666 | + | 47.4642i | 0.626113 | + | 0.202624i | ||||
\(39\) | 210.634 | − | 270.876i | 0.864830 | − | 1.11218i | ||||
\(40\) | −126.981 | − | 437.020i | −0.501937 | − | 1.72747i | ||||
\(41\) | 39.0468 | + | 46.5342i | 0.148734 | + | 0.177254i | 0.835267 | − | 0.549844i | \(-0.185313\pi\) |
−0.686533 | + | 0.727098i | \(0.740868\pi\) | |||||||
\(42\) | 319.806 | − | 80.9151i | 1.17493 | − | 0.297273i | ||||
\(43\) | −123.873 | − | 340.337i | −0.439312 | − | 1.20700i | −0.939941 | − | 0.341337i | \(-0.889120\pi\) |
0.500629 | − | 0.865662i | \(-0.333102\pi\) | |||||||
\(44\) | −52.8938 | + | 51.3195i | −0.181228 | + | 0.175834i | ||||
\(45\) | 40.3639 | + | 541.536i | 0.133713 | + | 1.79394i | ||||
\(46\) | 149.064 | + | 367.702i | 0.477788 | + | 1.17858i | ||||
\(47\) | −38.5295 | + | 218.511i | −0.119577 | + | 0.678152i | 0.864805 | + | 0.502107i | \(0.167442\pi\) |
−0.984382 | + | 0.176045i | \(0.943669\pi\) | |||||||
\(48\) | −164.260 | + | 289.155i | −0.493935 | + | 0.869499i | ||||
\(49\) | 151.112 | + | 55.0002i | 0.440559 | + | 0.160350i | ||||
\(50\) | 698.479 | + | 370.337i | 1.97560 | + | 1.04747i | ||||
\(51\) | 128.209 | − | 115.973i | 0.352016 | − | 0.318421i | ||||
\(52\) | −230.471 | + | 475.365i | −0.614626 | + | 1.26772i | ||||
\(53\) | − | 71.5744i | − | 0.185500i | −0.995689 | − | 0.0927500i | \(-0.970434\pi\) | ||
0.995689 | − | 0.0927500i | \(-0.0295658\pi\) | |||||||
\(54\) | 263.140 | − | 297.021i | 0.663125 | − | 0.748508i | ||||
\(55\) | − | 185.282i | − | 0.454245i | ||||||
\(56\) | −455.700 | + | 224.250i | −1.08742 | + | 0.535119i | ||||
\(57\) | 269.539 | + | 86.8959i | 0.626339 | + | 0.201924i | ||||
\(58\) | −123.786 | + | 233.468i | −0.280239 | + | 0.528550i | ||||
\(59\) | −695.709 | − | 253.217i | −1.53515 | − | 0.558748i | −0.570271 | − | 0.821456i | \(-0.693162\pi\) |
−0.964875 | + | 0.262709i | \(0.915384\pi\) | |||||||
\(60\) | −234.177 | − | 802.596i | −0.503869 | − | 1.72691i | ||||
\(61\) | 77.6974 | − | 440.644i | 0.163084 | − | 0.924896i | −0.787934 | − | 0.615760i | \(-0.788849\pi\) |
0.951018 | − | 0.309136i | \(-0.100040\pi\) | |||||||
\(62\) | 36.7630 | − | 14.9034i | 0.0753049 | − | 0.0305281i | ||||
\(63\) | 587.354 | − | 149.308i | 1.17460 | − | 0.298587i | ||||
\(64\) | 154.782 | − | 488.043i | 0.302309 | − | 0.953210i | ||||
\(65\) | −454.255 | − | 1248.05i | −0.866821 | − | 2.38157i | ||||
\(66\) | −97.0665 | + | 94.3886i | −0.181031 | + | 0.176037i | ||||
\(67\) | 306.923 | + | 365.776i | 0.559650 | + | 0.666965i | 0.969472 | − | 0.245200i | \(-0.0788537\pi\) |
−0.409822 | + | 0.912165i | \(0.634409\pi\) | |||||||
\(68\) | −155.942 | + | 215.699i | −0.278099 | + | 0.384667i | ||||
\(69\) | 274.603 | + | 675.205i | 0.479106 | + | 1.17805i | ||||
\(70\) | 393.147 | − | 1214.83i | 0.671286 | − | 2.07429i | ||||
\(71\) | 59.7838 | + | 103.549i | 0.0999300 | + | 0.173084i | 0.911655 | − | 0.410955i | \(-0.134805\pi\) |
−0.811726 | + | 0.584039i | \(0.801471\pi\) | |||||||
\(72\) | −301.170 | + | 531.549i | −0.492962 | + | 0.870051i | ||||
\(73\) | −564.552 | + | 977.833i | −0.905148 | + | 1.56776i | −0.0844306 | + | 0.996429i | \(0.526907\pi\) |
−0.820718 | + | 0.571334i | \(0.806426\pi\) | |||||||
\(74\) | −648.753 | − | 718.814i | −1.01913 | − | 1.12919i | ||||
\(75\) | 1283.95 | + | 678.917i | 1.97677 | + | 1.04526i | ||||
\(76\) | −433.732 | − | 44.5576i | −0.654638 | − | 0.0672514i | ||||
\(77\) | −203.635 | + | 35.9063i | −0.301381 | + | 0.0531416i | ||||
\(78\) | −422.425 | + | 873.774i | −0.613207 | + | 1.26840i | ||||
\(79\) | −118.965 | + | 141.777i | −0.169425 | + | 0.201913i | −0.844075 | − | 0.536225i | \(-0.819850\pi\) |
0.674650 | + | 0.738137i | \(0.264294\pi\) | |||||||
\(80\) | 609.636 | + | 1133.68i | 0.851992 | + | 1.58437i | ||||
\(81\) | 482.808 | − | 546.203i | 0.662288 | − | 0.749250i | ||||
\(82\) | −135.517 | − | 105.621i | −0.182504 | − | 0.142243i | ||||
\(83\) | −289.284 | − | 242.738i | −0.382567 | − | 0.321012i | 0.431142 | − | 0.902284i | \(-0.358111\pi\) |
−0.813709 | + | 0.581272i | \(0.802555\pi\) | |||||||
\(84\) | −836.713 | + | 412.910i | −1.08682 | + | 0.536335i | ||||
\(85\) | −116.198 | − | 658.991i | −0.148276 | − | 0.840912i | ||||
\(86\) | 543.868 | + | 868.101i | 0.681939 | + | 1.08848i | ||||
\(87\) | −226.929 | + | 429.163i | −0.279648 | + | 0.528863i | ||||
\(88\) | 115.954 | − | 173.223i | 0.140464 | − | 0.209836i | ||||
\(89\) | 605.809 | + | 349.764i | 0.721524 | + | 0.416572i | 0.815313 | − | 0.579020i | \(-0.196565\pi\) |
−0.0937895 | + | 0.995592i | \(0.529898\pi\) | |||||||
\(90\) | −431.860 | − | 1473.98i | −0.505800 | − | 1.72635i | ||||
\(91\) | −1283.65 | + | 741.113i | −1.47871 | + | 0.853733i | ||||
\(92\) | −629.726 | − | 928.894i | −0.713624 | − | 1.05265i | ||||
\(93\) | 67.5072 | − | 27.4549i | 0.0752707 | − | 0.0306123i | ||||
\(94\) | −22.6386 | − | 627.169i | −0.0248403 | − | 0.688166i | ||||
\(95\) | 839.715 | − | 704.604i | 0.906873 | − | 0.760957i | ||||
\(96\) | 283.350 | − | 896.911i | 0.301243 | − | 0.953547i | ||||
\(97\) | 32.5468 | − | 11.8460i | 0.0340683 | − | 0.0123998i | −0.324930 | − | 0.945738i | \(-0.605341\pi\) |
0.358998 | + | 0.933338i | \(0.383118\pi\) | |||||||
\(98\) | −450.486 | − | 62.7724i | −0.464347 | − | 0.0647038i | ||||
\(99\) | −178.129 | + | 173.602i | −0.180834 | + | 0.176239i | ||||
\(100\) | −2150.93 | − | 611.306i | −2.15093 | − | 0.611306i | ||||
\(101\) | −348.964 | − | 61.5318i | −0.343794 | − | 0.0606202i | −0.000914771 | − | 1.00000i | \(-0.500291\pi\) |
−0.342880 | + | 0.939379i | \(0.611402\pi\) | |||||||
\(102\) | −286.040 | + | 396.584i | −0.277669 | + | 0.384977i | ||||
\(103\) | −406.967 | + | 1118.13i | −0.389317 | + | 1.06964i | 0.577993 | + | 0.816042i | \(0.303836\pi\) |
−0.967310 | + | 0.253597i | \(0.918386\pi\) | |||||||
\(104\) | 356.377 | − | 1451.10i | 0.336015 | − | 1.36820i | ||||
\(105\) | 719.760 | − | 2232.60i | 0.668966 | − | 2.07504i | ||||
\(106\) | 42.3228 | + | 197.970i | 0.0387807 | + | 0.181401i | ||||
\(107\) | 270.522 | 0.244414 | 0.122207 | − | 0.992505i | \(-0.461003\pi\) | ||||
0.122207 | + | 0.992505i | \(0.461003\pi\) | |||||||
\(108\) | −552.193 | + | 977.136i | −0.491989 | + | 0.870601i | ||||
\(109\) | −1513.91 | −1.33033 | −0.665164 | − | 0.746697i | \(-0.731639\pi\) | ||||
−0.665164 | + | 0.746697i | \(0.731639\pi\) | |||||||
\(110\) | 109.560 | + | 512.478i | 0.0949645 | + | 0.444207i | ||||
\(111\) | −1193.31 | − | 1319.21i | −1.02040 | − | 1.12805i | ||||
\(112\) | 1127.83 | − | 889.720i | 0.951518 | − | 0.750631i | ||||
\(113\) | 339.044 | − | 931.517i | 0.282253 | − | 0.775484i | −0.714840 | − | 0.699288i | \(-0.753500\pi\) |
0.997093 | − | 0.0761959i | \(-0.0242775\pi\) | |||||||
\(114\) | −796.908 | − | 80.9662i | −0.654713 | − | 0.0665191i | ||||
\(115\) | 2778.49 | + | 489.924i | 2.25301 | + | 0.397266i | ||||
\(116\) | 204.330 | − | 718.952i | 0.163548 | − | 0.575457i | ||||
\(117\) | −774.248 | + | 1606.09i | −0.611788 | + | 1.26909i | ||||
\(118\) | 2074.01 | + | 289.000i | 1.61804 | + | 0.225463i | ||||
\(119\) | −701.746 | + | 255.415i | −0.540580 | + | 0.196755i | ||||
\(120\) | 1122.30 | + | 2081.45i | 0.853763 | + | 1.58341i | ||||
\(121\) | −954.594 | + | 800.999i | −0.717200 | + | 0.601803i | ||||
\(122\) | 45.6523 | + | 1264.73i | 0.0338784 | + | 0.938553i | ||||
\(123\) | −249.177 | − | 193.760i | −0.182663 | − | 0.142039i | ||||
\(124\) | −92.8711 | + | 62.9602i | −0.0672587 | + | 0.0455967i | ||||
\(125\) | 2691.31 | − | 1553.83i | 1.92575 | − | 1.11183i | ||||
\(126\) | −1536.29 | + | 760.283i | −1.08622 | + | 0.537551i | ||||
\(127\) | 1731.86 | + | 999.889i | 1.21006 | + | 0.698629i | 0.962772 | − | 0.270313i | \(-0.0871273\pi\) |
0.247288 | + | 0.968942i | \(0.420461\pi\) | |||||||
\(128\) | −139.531 | + | 1441.42i | −0.0963511 | + | 0.995347i | ||||
\(129\) | 1000.93 | + | 1593.68i | 0.683156 | + | 1.08772i | ||||
\(130\) | 1994.42 | + | 3183.42i | 1.34556 | + | 2.14773i | ||||
\(131\) | 186.751 | + | 1059.12i | 0.124553 | + | 0.706378i | 0.981572 | + | 0.191092i | \(0.0612030\pi\) |
−0.857019 | + | 0.515285i | \(0.827686\pi\) | |||||||
\(132\) | 212.666 | − | 318.468i | 0.140229 | − | 0.209993i | ||||
\(133\) | −937.127 | − | 786.343i | −0.610972 | − | 0.512666i | ||||
\(134\) | −1065.21 | − | 830.223i | −0.686719 | − | 0.535227i | ||||
\(135\) | −796.405 | − | 2706.99i | −0.507731 | − | 1.72578i | ||||
\(136\) | 303.779 | − | 688.817i | 0.191535 | − | 0.434306i | ||||
\(137\) | −950.409 | + | 1132.65i | −0.592693 | + | 0.706344i | −0.976121 | − | 0.217227i | \(-0.930299\pi\) |
0.383428 | + | 0.923571i | \(0.374743\pi\) | |||||||
\(138\) | −1158.79 | − | 1705.19i | −0.714801 | − | 1.05185i | ||||
\(139\) | 888.751 | − | 156.711i | 0.542323 | − | 0.0956261i | 0.104225 | − | 0.994554i | \(-0.466764\pi\) |
0.438097 | + | 0.898928i | \(0.355653\pi\) | |||||||
\(140\) | −369.071 | + | 3592.61i | −0.222801 | + | 2.16879i | ||||
\(141\) | −42.8783 | − | 1152.14i | −0.0256100 | − | 0.688138i | ||||
\(142\) | −226.587 | − | 251.057i | −0.133907 | − | 0.148368i | ||||
\(143\) | 304.172 | − | 526.841i | 0.177875 | − | 0.308088i | ||||
\(144\) | 518.705 | − | 1648.31i | 0.300176 | − | 0.953884i | ||||
\(145\) | 939.537 | + | 1627.33i | 0.538099 | + | 0.932014i | ||||
\(146\) | 983.307 | − | 3038.44i | 0.557391 | − | 1.72235i | ||||
\(147\) | −827.725 | − | 114.395i | −0.464419 | − | 0.0641844i | ||||
\(148\) | 2219.45 | + | 1604.57i | 1.23268 | + | 0.891182i | ||||
\(149\) | 1744.59 | + | 2079.12i | 0.959210 | + | 1.14314i | 0.989635 | + | 0.143605i | \(0.0458696\pi\) |
−0.0304246 | + | 0.999537i | \(0.509686\pi\) | |||||||
\(150\) | −3952.76 | − | 1118.62i | −2.15161 | − | 0.608900i | ||||
\(151\) | 555.568 | + | 1526.41i | 0.299414 | + | 0.822633i | 0.994598 | + | 0.103801i | \(0.0331006\pi\) |
−0.695184 | + | 0.718832i | \(0.744677\pi\) | |||||||
\(152\) | 1226.02 | − | 133.228i | 0.654232 | − | 0.0710934i | ||||
\(153\) | −524.674 | + | 729.159i | −0.277238 | + | 0.385288i | ||||
\(154\) | 542.008 | − | 219.726i | 0.283612 | − | 0.114974i | ||||
\(155\) | 48.9827 | − | 277.795i | 0.0253832 | − | 0.143955i | ||||
\(156\) | 651.724 | − | 2666.58i | 0.334485 | − | 1.36857i | ||||
\(157\) | 384.371 | + | 139.899i | 0.195389 | + | 0.0711159i | 0.437861 | − | 0.899042i | \(-0.355736\pi\) |
−0.242472 | + | 0.970158i | \(0.577958\pi\) | |||||||
\(158\) | 245.214 | − | 462.489i | 0.123469 | − | 0.232871i | ||||
\(159\) | 78.1586 | + | 363.606i | 0.0389835 | + | 0.181358i | ||||
\(160\) | −2356.57 | − | 2775.19i | −1.16439 | − | 1.37124i | ||||
\(161\) | − | 3148.65i | − | 1.54130i | ||||||
\(162\) | −1012.43 | + | 1796.25i | −0.491015 | + | 0.871151i | ||||
\(163\) | 1417.08i | 0.680944i | 0.940255 | + | 0.340472i | \(0.110587\pi\) | ||||
−0.940255 | + | 0.340472i | \(0.889413\pi\) | |||||||
\(164\) | 437.285 | + | 212.008i | 0.208208 | + | 0.100946i | ||||
\(165\) | 202.327 | + | 941.256i | 0.0954612 | + | 0.444101i | ||||
\(166\) | 943.673 | + | 500.340i | 0.441224 | + | 0.233939i | ||||
\(167\) | −1920.13 | − | 698.870i | −0.889725 | − | 0.323833i | −0.143597 | − | 0.989636i | \(-0.545867\pi\) |
−0.746128 | + | 0.665803i | \(0.768089\pi\) | |||||||
\(168\) | 2070.13 | − | 1636.84i | 0.950678 | − | 0.751694i | ||||
\(169\) | 375.733 | − | 2130.89i | 0.171021 | − | 0.969907i | ||||
\(170\) | 711.063 | + | 1754.01i | 0.320800 | + | 0.791332i | ||||
\(171\) | −1464.18 | − | 147.107i | −0.654787 | − | 0.0657868i | ||||
\(172\) | −2017.62 | − | 2079.51i | −0.894429 | − | 0.921866i | ||||
\(173\) | 887.762 | + | 2439.11i | 0.390146 | + | 1.07192i | 0.966935 | + | 0.255024i | \(0.0820835\pi\) |
−0.576788 | + | 0.816894i | \(0.695694\pi\) | |||||||
\(174\) | 373.901 | − | 1321.22i | 0.162905 | − | 0.575640i | ||||
\(175\) | −4032.77 | − | 4806.07i | −1.74199 | − | 2.07603i | ||||
\(176\) | −218.293 | + | 547.686i | −0.0934913 | + | 0.234565i | ||||
\(177\) | 3810.79 | + | 526.666i | 1.61829 | + | 0.223653i | ||||
\(178\) | −1882.44 | − | 609.200i | −0.792669 | − | 0.256525i | ||||
\(179\) | 1.57087 | + | 2.72083i | 0.000655936 | + | 0.00113612i | 0.866353 | − | 0.499432i | \(-0.166458\pi\) |
−0.865697 | + | 0.500568i | \(0.833125\pi\) | |||||||
\(180\) | 2066.07 | + | 3821.56i | 0.855534 | + | 1.58246i | ||||
\(181\) | 1262.70 | − | 2187.05i | 0.518539 | − | 0.898135i | −0.481229 | − | 0.876595i | \(-0.659810\pi\) |
0.999768 | − | 0.0215404i | \(-0.00685705\pi\) | |||||||
\(182\) | 3112.24 | − | 2808.90i | 1.26755 | − | 1.14401i | ||||
\(183\) | 86.4671 | + | 2323.37i | 0.0349281 | + | 0.938514i | ||||
\(184\) | 2291.04 | + | 2196.89i | 0.917922 | + | 0.880200i | ||||
\(185\) | −6780.72 | + | 1195.62i | −2.69475 | + | 0.475157i | ||||
\(186\) | −170.486 | + | 115.856i | −0.0672076 | + | 0.0456719i | ||||
\(187\) | 197.014 | − | 234.792i | 0.0770431 | − | 0.0918164i | ||||
\(188\) | 433.469 | + | 1721.32i | 0.168159 | + | 0.667766i | ||||
\(189\) | −2820.78 | + | 1399.88i | −1.08562 | + | 0.538765i | ||||
\(190\) | −1905.95 | + | 2445.42i | −0.727748 | + | 0.933733i | ||||
\(191\) | −3503.15 | − | 2939.49i | −1.32712 | − | 1.11358i | −0.984742 | − | 0.174018i | \(-0.944325\pi\) |
−0.342373 | − | 0.939564i | \(-0.611231\pi\) | |||||||
\(192\) | −253.373 | + | 2648.34i | −0.0952378 | + | 0.995455i | ||||
\(193\) | 734.326 | + | 4164.57i | 0.273875 | + | 1.55322i | 0.742512 | + | 0.669833i | \(0.233634\pi\) |
−0.468636 | + | 0.883391i | \(0.655254\pi\) | |||||||
\(194\) | −83.0172 | + | 52.0106i | −0.0307231 | + | 0.0192481i | ||||
\(195\) | 3670.53 | + | 5844.22i | 1.34796 | + | 2.14622i | ||||
\(196\) | 1283.13 | − | 92.7536i | 0.467613 | − | 0.0338023i | ||||
\(197\) | −2158.64 | − | 1246.29i | −0.780692 | − | 0.450733i | 0.0559832 | − | 0.998432i | \(-0.482171\pi\) |
−0.836676 | + | 0.547699i | \(0.815504\pi\) | |||||||
\(198\) | 390.038 | − | 585.500i | 0.139994 | − | 0.210150i | ||||
\(199\) | 3.80882 | − | 2.19902i | 0.00135679 | − | 0.000783340i | −0.499321 | − | 0.866417i | \(-0.666417\pi\) |
0.500678 | + | 0.865633i | \(0.333084\pi\) | |||||||
\(200\) | 6310.78 | + | 418.960i | 2.23120 | + | 0.148125i | ||||
\(201\) | −1958.63 | − | 1523.03i | −0.687318 | − | 0.534458i | ||||
\(202\) | 1001.59 | − | 36.1539i | 0.348871 | − | 0.0125930i | ||||
\(203\) | 1606.44 | − | 1347.96i | 0.555419 | − | 0.466052i | ||||
\(204\) | 556.661 | − | 1266.06i | 0.191049 | − | 0.434520i | ||||
\(205\) | −1148.08 | + | 417.865i | −0.391147 | + | 0.142366i | ||||
\(206\) | 464.477 | − | 3333.32i | 0.157095 | − | 1.12739i | ||||
\(207\) | −2132.33 | − | 3130.26i | −0.715977 | − | 1.05105i | ||||
\(208\) | −127.657 | + | 4224.38i | −0.0425550 | + | 1.40821i | ||||
\(209\) | 494.459 | + | 87.1865i | 0.163648 | + | 0.0288556i | ||||
\(210\) | −670.645 | + | 6600.80i | −0.220376 | + | 2.16904i | ||||
\(211\) | 547.709 | − | 1504.82i | 0.178701 | − | 0.490976i | −0.817710 | − | 0.575631i | \(-0.804756\pi\) |
0.996410 | + | 0.0846546i | \(0.0269787\pi\) | |||||||
\(212\) | −234.123 | − | 522.544i | −0.0758474 | − | 0.169285i | ||||
\(213\) | −416.782 | − | 460.755i | −0.134073 | − | 0.148218i | ||||
\(214\) | −748.243 | + | 159.962i | −0.239013 | + | 0.0510972i | ||||
\(215\) | 7284.34 | 2.31064 | ||||||||
\(216\) | 949.534 | − | 3029.20i | 0.299109 | − | 0.954219i | ||||
\(217\) | −314.804 | −0.0984804 | ||||||||
\(218\) | 4187.35 | − | 895.189i | 1.30093 | − | 0.278119i | ||||
\(219\) | 1800.21 | − | 5583.99i | 0.555464 | − | 1.72297i | ||||
\(220\) | −606.067 | − | 1352.69i | −0.185732 | − | 0.414538i | ||||
\(221\) | 751.439 | − | 2064.56i | 0.228721 | − | 0.628405i | ||||
\(222\) | 4080.68 | + | 2943.22i | 1.23368 | + | 0.889803i | ||||
\(223\) | −4850.45 | − | 855.265i | −1.45655 | − | 0.256829i | −0.611383 | − | 0.791335i | \(-0.709386\pi\) |
−0.845165 | + | 0.534506i | \(0.820498\pi\) | |||||||
\(224\) | −2593.40 | + | 3127.80i | −0.773565 | + | 0.932968i | ||||
\(225\) | −7263.98 | − | 2046.91i | −2.15229 | − | 0.606493i | ||||
\(226\) | −386.956 | + | 2776.99i | −0.113893 | + | 0.817356i | ||||
\(227\) | −839.638 | + | 305.603i | −0.245501 | + | 0.0893550i | −0.461840 | − | 0.886963i | \(-0.652811\pi\) |
0.216339 | + | 0.976318i | \(0.430588\pi\) | |||||||
\(228\) | 2252.07 | − | 247.274i | 0.654152 | − | 0.0718250i | ||||
\(229\) | 603.767 | − | 506.621i | 0.174227 | − | 0.146194i | −0.551504 | − | 0.834172i | \(-0.685946\pi\) |
0.725732 | + | 0.687978i | \(0.241501\pi\) | |||||||
\(230\) | −7974.81 | + | 287.862i | −2.28628 | + | 0.0825263i | ||||
\(231\) | 995.279 | − | 404.776i | 0.283483 | − | 0.115291i | ||||
\(232\) | −140.038 | + | 2109.39i | −0.0396292 | + | 0.596933i | ||||
\(233\) | 1602.92 | − | 925.448i | 0.450691 | − | 0.260206i | −0.257431 | − | 0.966297i | \(-0.582876\pi\) |
0.708122 | + | 0.706090i | \(0.249543\pi\) | |||||||
\(234\) | 1191.81 | − | 4900.16i | 0.332954 | − | 1.36895i | ||||
\(235\) | −3864.74 | − | 2231.31i | −1.07280 | − | 0.619380i | ||||
\(236\) | −5907.45 | + | 427.032i | −1.62942 | + | 0.117786i | ||||
\(237\) | 449.535 | − | 850.149i | 0.123209 | − | 0.233009i | ||||
\(238\) | 1789.95 | − | 1121.41i | 0.487501 | − | 0.305421i | ||||
\(239\) | −332.014 | − | 1882.95i | −0.0898587 | − | 0.509614i | −0.996202 | − | 0.0870719i | \(-0.972249\pi\) |
0.906343 | − | 0.422542i | \(-0.138862\pi\) | |||||||
\(240\) | −4334.99 | − | 5093.51i | −1.16593 | − | 1.36994i | ||||
\(241\) | 487.202 | + | 408.811i | 0.130222 | + | 0.109269i | 0.705572 | − | 0.708638i | \(-0.250690\pi\) |
−0.575351 | + | 0.817907i | \(0.695134\pi\) | |||||||
\(242\) | 2166.70 | − | 2779.97i | 0.575539 | − | 0.738442i | ||||
\(243\) | −1856.27 | + | 3301.99i | −0.490040 | + | 0.871700i | ||||
\(244\) | −874.121 | − | 3471.16i | −0.229344 | − | 0.910731i | ||||
\(245\) | −2078.96 | + | 2477.61i | −0.542122 | + | 0.646076i | ||||
\(246\) | 803.778 | + | 388.585i | 0.208321 | + | 0.100713i | ||||
\(247\) | 3544.41 | − | 624.975i | 0.913058 | − | 0.160997i | ||||
\(248\) | 219.646 | − | 229.059i | 0.0562400 | − | 0.0586503i | ||||
\(249\) | 1734.67 | + | 917.243i | 0.441486 | + | 0.233445i | ||||
\(250\) | −6525.17 | + | 5889.18i | −1.65075 | + | 1.48986i | ||||
\(251\) | −3949.77 | + | 6841.21i | −0.993257 | + | 1.72037i | −0.396224 | + | 0.918154i | \(0.629679\pi\) |
−0.597033 | + | 0.802217i | \(0.703654\pi\) | |||||||
\(252\) | 3799.70 | − | 3011.31i | 0.949837 | − | 0.752757i | ||||
\(253\) | 646.144 | + | 1119.15i | 0.160564 | + | 0.278105i | ||||
\(254\) | −5381.44 | − | 1741.55i | −1.32938 | − | 0.430216i | ||||
\(255\) | 1309.91 | + | 3220.86i | 0.321685 | + | 0.790973i | ||||
\(256\) | −466.393 | − | 4069.36i | −0.113865 | − | 0.993496i | ||||
\(257\) | 2156.62 | + | 2570.15i | 0.523447 | + | 0.623820i | 0.961392 | − | 0.275182i | \(-0.0887380\pi\) |
−0.437945 | + | 0.899002i | \(0.644294\pi\) | |||||||
\(258\) | −3710.87 | − | 3816.15i | −0.895460 | − | 0.920865i | ||||
\(259\) | 2628.10 | + | 7220.66i | 0.630511 | + | 1.73232i | ||||
\(260\) | −7398.82 | − | 7625.78i | −1.76483 | − | 1.81897i | ||||
\(261\) | 684.186 | − | 2428.00i | 0.162261 | − | 0.575822i | ||||
\(262\) | −1142.81 | − | 2819.01i | −0.269476 | − | 0.664730i | ||||
\(263\) | −322.444 | + | 1828.67i | −0.0755997 | + | 0.428747i | 0.923392 | + | 0.383858i | \(0.125405\pi\) |
−0.998992 | + | 0.0448895i | \(0.985706\pi\) | |||||||
\(264\) | −399.905 | + | 1006.61i | −0.0932289 | + | 0.234669i | ||||
\(265\) | 1352.73 | + | 492.353i | 0.313575 | + | 0.114132i | ||||
\(266\) | 3057.00 | + | 1620.83i | 0.704649 | + | 0.373608i | ||||
\(267\) | −3459.52 | − | 1115.30i | −0.792955 | − | 0.255638i | ||||
\(268\) | 3437.22 | + | 1666.46i | 0.783439 | + | 0.379834i | ||||
\(269\) | 2750.07i | 0.623325i | 0.950193 | + | 0.311663i | \(0.100886\pi\) | ||||
−0.950193 | + | 0.311663i | \(0.899114\pi\) | |||||||
\(270\) | 3803.47 | + | 7016.41i | 0.857303 | + | 1.58150i | ||||
\(271\) | − | 1141.95i | − | 0.255973i | −0.991776 | − | 0.127987i | \(-0.959149\pi\) | ||
0.991776 | − | 0.127987i | \(-0.0408515\pi\) | |||||||
\(272\) | −432.924 | + | 2084.85i | −0.0965069 | + | 0.464751i | ||||
\(273\) | 5711.77 | − | 5166.67i | 1.26627 | − | 1.14542i | ||||
\(274\) | 1959.01 | − | 3694.82i | 0.431928 | − | 0.814644i | ||||
\(275\) | 2419.67 | + | 880.688i | 0.530588 | + | 0.193118i | ||||
\(276\) | 4213.42 | + | 4031.23i | 0.918906 | + | 0.879173i | ||||
\(277\) | 1223.72 | − | 6940.06i | 0.265437 | − | 1.50537i | −0.502349 | − | 0.864665i | \(-0.667531\pi\) |
0.767787 | − | 0.640705i | \(-0.221358\pi\) | |||||||
\(278\) | −2365.55 | + | 958.978i | −0.510347 | + | 0.206891i | ||||
\(279\) | −312.964 | + | 213.191i | −0.0671565 | + | 0.0457470i | ||||
\(280\) | −1103.53 | − | 10155.1i | −0.235530 | − | 2.16745i | ||||
\(281\) | 1314.23 | + | 3610.81i | 0.279004 | + | 0.766558i | 0.997476 | + | 0.0710021i | \(0.0226197\pi\) |
−0.718472 | + | 0.695556i | \(0.755158\pi\) | |||||||
\(282\) | 799.869 | + | 3161.37i | 0.168906 | + | 0.667578i | ||||
\(283\) | −3603.58 | − | 4294.58i | −0.756929 | − | 0.902073i | 0.240721 | − | 0.970594i | \(-0.422616\pi\) |
−0.997650 | + | 0.0685217i | \(0.978172\pi\) | |||||||
\(284\) | 775.175 | + | 560.421i | 0.161965 | + | 0.117095i | ||||
\(285\) | −3496.43 | + | 4496.43i | −0.726703 | + | 0.934546i | ||||
\(286\) | −529.790 | + | 1637.06i | −0.109535 | + | 0.338467i | ||||
\(287\) | 681.744 | + | 1180.82i | 0.140216 | + | 0.242862i | ||||
\(288\) | −460.035 | + | 4865.82i | −0.0941244 | + | 0.995560i | ||||
\(289\) | −1903.03 | + | 3296.15i | −0.387346 | + | 0.670903i | ||||
\(290\) | −3560.95 | − | 3945.51i | −0.721055 | − | 0.798924i | ||||
\(291\) | −152.405 | + | 95.7200i | −0.0307016 | + | 0.0192825i | ||||
\(292\) | −923.090 | + | 8985.54i | −0.184999 | + | 1.80082i | ||||
\(293\) | −1154.67 | + | 203.600i | −0.230227 | + | 0.0405953i | −0.287571 | − | 0.957759i | \(-0.592848\pi\) |
0.0573442 | + | 0.998354i | \(0.481737\pi\) | |||||||
\(294\) | 2357.07 | − | 173.036i | 0.467575 | − | 0.0343253i | ||||
\(295\) | 9571.41 | − | 11406.8i | 1.88905 | − | 2.25128i | ||||
\(296\) | −7087.62 | − | 3125.75i | −1.39176 | − | 0.613785i | ||||
\(297\) | 715.342 | − | 1076.43i | 0.139759 | − | 0.210306i | ||||
\(298\) | −6054.81 | − | 4719.10i | −1.17700 | − | 0.917350i | ||||
\(299\) | 7096.21 | + | 5954.43i | 1.37252 | + | 1.15168i | ||||
\(300\) | 11594.5 | + | 756.712i | 2.23136 | + | 0.145629i | ||||
\(301\) | −1411.65 | − | 8005.87i | −0.270320 | − | 1.53306i | ||||
\(302\) | −2439.24 | − | 3893.43i | −0.464777 | − | 0.741859i | ||||
\(303\) | 1839.97 | − | 68.4769i | 0.348856 | − | 0.0129832i | ||||
\(304\) | −3312.30 | + | 1093.46i | −0.624912 | + | 0.206296i | ||||
\(305\) | 7793.52 | + | 4499.59i | 1.46313 | + | 0.844740i | ||||
\(306\) | 1020.05 | − | 2327.05i | 0.190563 | − | 0.434733i | ||||
\(307\) | −6914.53 | + | 3992.11i | −1.28545 | + | 0.742155i | −0.977839 | − | 0.209357i | \(-0.932863\pi\) |
−0.307611 | + | 0.951512i | \(0.599529\pi\) | |||||||
\(308\) | −1369.23 | + | 928.241i | −0.253308 | + | 0.171725i | ||||
\(309\) | 846.448 | − | 6124.64i | 0.155834 | − | 1.12757i | ||||
\(310\) | 28.7805 | + | 797.324i | 0.00527298 | + | 0.146081i | ||||
\(311\) | 6785.26 | − | 5693.51i | 1.23716 | − | 1.03810i | 0.239419 | − | 0.970916i | \(-0.423043\pi\) |
0.997741 | − | 0.0671839i | \(-0.0214014\pi\) | |||||||
\(312\) | −225.842 | + | 7760.94i | −0.0409800 | + | 1.40826i | ||||
\(313\) | 2004.00 | − | 729.395i | 0.361893 | − | 0.131718i | −0.154673 | − | 0.987966i | \(-0.549432\pi\) |
0.516566 | + | 0.856247i | \(0.327210\pi\) | |||||||
\(314\) | −1145.87 | − | 159.669i | −0.205939 | − | 0.0286963i | ||||
\(315\) | −1218.49 | + | 12127.8i | −0.217950 | + | 2.16929i | ||||
\(316\) | −404.768 | + | 1424.21i | −0.0720569 | + | 0.253538i | ||||
\(317\) | −1604.26 | − | 282.875i | −0.284241 | − | 0.0501194i | 0.0297098 | − | 0.999559i | \(-0.490542\pi\) |
−0.313951 | + | 0.949439i | \(0.601653\pi\) | |||||||
\(318\) | −431.185 | − | 959.492i | −0.0760367 | − | 0.169200i | ||||
\(319\) | −294.372 | + | 808.781i | −0.0516667 | + | 0.141953i | ||||
\(320\) | 8159.09 | + | 6282.52i | 1.42533 | + | 1.09751i | ||||
\(321\) | −1374.28 | + | 295.407i | −0.238956 | + | 0.0513645i | ||||
\(322\) | 1861.83 | + | 8708.95i | 0.322223 | + | 1.50724i | ||||
\(323\) | 1813.31 | 0.312370 | ||||||||
\(324\) | 1738.18 | − | 5566.95i | 0.298042 | − | 0.954553i | ||||
\(325\) | 18458.0 | 3.15035 | ||||||||
\(326\) | −837.932 | − | 3919.53i | −0.142358 | − | 0.665897i | ||||
\(327\) | 7690.81 | − | 1653.17i | 1.30062 | − | 0.279573i | ||||
\(328\) | −1334.86 | − | 327.828i | −0.224711 | − | 0.0551868i | ||||
\(329\) | −1703.36 | + | 4679.96i | −0.285439 | + | 0.784238i | ||||
\(330\) | −1116.20 | − | 2483.81i | −0.186196 | − | 0.414330i | ||||
\(331\) | 4323.23 | + | 762.302i | 0.717904 | + | 0.126586i | 0.520654 | − | 0.853768i | \(-0.325688\pi\) |
0.197249 | + | 0.980353i | \(0.436799\pi\) | |||||||
\(332\) | −2905.99 | − | 825.898i | −0.480382 | − | 0.136527i | ||||
\(333\) | 7502.72 | + | 5398.66i | 1.23467 | + | 0.888423i | ||||
\(334\) | 5724.18 | + | 797.629i | 0.937765 | + | 0.130672i | ||||
\(335\) | −9024.31 | + | 3284.58i | −1.47179 | + | 0.535689i | ||||
\(336\) | −4757.95 | + | 5751.46i | −0.772521 | + | 0.933833i | ||||
\(337\) | −2634.92 | + | 2210.96i | −0.425914 | + | 0.357385i | −0.830408 | − | 0.557156i | \(-0.811892\pi\) |
0.404493 | + | 0.914541i | \(0.367448\pi\) | |||||||
\(338\) | 220.767 | + | 6116.05i | 0.0355271 | + | 0.984229i | ||||
\(339\) | −705.177 | + | 5102.44i | −0.112979 | + | 0.817483i | ||||
\(340\) | −3003.91 | − | 4431.01i | −0.479147 | − | 0.706779i | ||||
\(341\) | 111.893 | − | 64.6017i | 0.0177694 | − | 0.0102592i | ||||
\(342\) | 4136.80 | − | 458.898i | 0.654071 | − | 0.0725566i | ||||
\(343\) | −3541.51 | − | 2044.69i | −0.557504 | − | 0.321875i | ||||
\(344\) | 6810.21 | + | 4558.73i | 1.06739 | + | 0.714506i | ||||
\(345\) | −14650.1 | + | 545.222i | −2.28618 | + | 0.0850833i | ||||
\(346\) | −3897.76 | − | 6221.45i | −0.605620 | − | 0.966668i | ||||
\(347\) | 290.397 | + | 1646.92i | 0.0449260 | + | 0.254788i | 0.998996 | − | 0.0447952i | \(-0.0142635\pi\) |
−0.954070 | + | 0.299583i | \(0.903152\pi\) | |||||||
\(348\) | −252.933 | + | 3875.49i | −0.0389615 | + | 0.596977i | ||||
\(349\) | 5140.37 | + | 4313.28i | 0.788417 | + | 0.661561i | 0.945353 | − | 0.326048i | \(-0.105717\pi\) |
−0.156936 | + | 0.987609i | \(0.550162\pi\) | |||||||
\(350\) | 13996.2 | + | 10908.6i | 2.13752 | + | 1.66597i | ||||
\(351\) | 2179.43 | − | 9004.60i | 0.331423 | − | 1.36932i | ||||
\(352\) | 279.930 | − | 1643.94i | 0.0423873 | − | 0.248927i | ||||
\(353\) | 4686.93 | − | 5585.66i | 0.706686 | − | 0.842195i | −0.286580 | − | 0.958056i | \(-0.592518\pi\) |
0.993265 | + | 0.115861i | \(0.0369628\pi\) | |||||||
\(354\) | −10851.8 | + | 796.645i | −1.62928 | + | 0.119608i | ||||
\(355\) | −2368.27 | + | 417.590i | −0.354070 | + | 0.0624320i | ||||
\(356\) | 5566.92 | + | 571.893i | 0.828782 | + | 0.0851413i | ||||
\(357\) | 3286.04 | − | 2063.84i | 0.487159 | − | 0.305966i | ||||
\(358\) | −5.95378 | − | 6.59675i | −0.000878958 | − | 0.000973880i | ||||
\(359\) | −4813.40 | + | 8337.05i | −0.707636 | + | 1.22566i | 0.258096 | + | 0.966119i | \(0.416905\pi\) |
−0.965732 | + | 0.259542i | \(0.916428\pi\) | |||||||
\(360\) | −7974.34 | − | 9348.47i | −1.16746 | − | 1.36863i | ||||
\(361\) | −1944.27 | − | 3367.58i | −0.283463 | − | 0.490973i | ||||
\(362\) | −2199.30 | + | 6795.88i | −0.319316 | + | 0.986694i | ||||
\(363\) | 3974.76 | − | 5111.57i | 0.574713 | − | 0.739086i | ||||
\(364\) | −6947.30 | + | 9609.51i | −1.00038 | + | 1.38372i | ||||
\(365\) | −14597.2 | − | 17396.2i | −2.09329 | − | 2.49468i | ||||
\(366\) | −1612.99 | − | 6375.13i | −0.230362 | − | 0.910474i | ||||
\(367\) | −3046.55 | − | 8370.33i | −0.433321 | − | 1.19054i | −0.943762 | − | 0.330626i | \(-0.892740\pi\) |
0.510441 | − | 0.859913i | \(-0.329482\pi\) | |||||||
\(368\) | −7635.89 | − | 4721.72i | −1.08165 | − | 0.668849i | ||||
\(369\) | 1477.43 | + | 712.225i | 0.208434 | + | 0.100480i | ||||
\(370\) | 18048.0 | − | 7316.52i | 2.53586 | − | 1.02802i | ||||
\(371\) | 278.973 | − | 1582.13i | 0.0390392 | − | 0.221402i | ||||
\(372\) | 403.044 | − | 421.259i | 0.0561744 | − | 0.0587131i | ||||
\(373\) | −1289.41 | − | 469.307i | −0.178990 | − | 0.0651469i | 0.250971 | − | 0.967995i | \(-0.419250\pi\) |
−0.429960 | + | 0.902848i | \(0.641472\pi\) | |||||||
\(374\) | −406.090 | + | 765.913i | −0.0561455 | + | 0.105894i | ||||
\(375\) | −11975.4 | + | 10832.5i | −1.64909 | + | 1.49170i | ||||
\(376\) | −2216.78 | − | 4504.73i | −0.304047 | − | 0.617855i | ||||
\(377\) | 6169.62i | 0.842842i | ||||||||
\(378\) | 6974.31 | − | 5539.94i | 0.948994 | − | 0.753819i | ||||
\(379\) | 10432.6i | 1.41394i | 0.707242 | + | 0.706972i | \(0.249939\pi\) | ||||
−0.707242 | + | 0.706972i | \(0.750061\pi\) | |||||||
\(380\) | 3825.71 | − | 7890.85i | 0.516461 | − | 1.06524i | ||||
\(381\) | −9889.91 | − | 3188.38i | −1.32986 | − | 0.428729i | ||||
\(382\) | 11427.6 | + | 6058.97i | 1.53060 | + | 0.811528i | ||||
\(383\) | −2676.75 | − | 974.256i | −0.357116 | − | 0.129979i | 0.157231 | − | 0.987562i | \(-0.449743\pi\) |
−0.514347 | + | 0.857582i | \(0.671966\pi\) | |||||||
\(384\) | −865.179 | − | 7474.93i | −0.114976 | − | 0.993368i | ||||
\(385\) | 722.167 | − | 4095.61i | 0.0955975 | − | 0.542160i | ||||
\(386\) | −4493.65 | − | 11084.7i | −0.592541 | − | 1.46165i | ||||
\(387\) | −6825.14 | − | 7003.09i | −0.896489 | − | 0.919863i | ||||
\(388\) | 198.865 | − | 192.946i | 0.0260202 | − | 0.0252458i | ||||
\(389\) | 2832.22 | + | 7781.45i | 0.369149 | + | 1.01423i | 0.975686 | + | 0.219174i | \(0.0703361\pi\) |
−0.606537 | + | 0.795056i | \(0.707442\pi\) | |||||||
\(390\) | −13608.2 | − | 13994.2i | −1.76686 | − | 1.81699i | ||||
\(391\) | 2999.99 | + | 3575.25i | 0.388021 | + | 0.462425i | ||||
\(392\) | −3494.20 | + | 1015.28i | −0.450213 | + | 0.130815i | ||||
\(393\) | −2105.26 | − | 5176.50i | −0.270220 | − | 0.664428i | ||||
\(394\) | 6707.57 | + | 2170.72i | 0.857672 | + | 0.277561i | ||||
\(395\) | −1861.17 | − | 3223.65i | −0.237078 | − | 0.410631i | ||||
\(396\) | −732.603 | + | 1850.08i | −0.0929664 | + | 0.234773i | ||||
\(397\) | −881.555 | + | 1526.90i | −0.111446 | + | 0.193030i | −0.916353 | − | 0.400370i | \(-0.868881\pi\) |
0.804908 | + | 0.593400i | \(0.202215\pi\) | |||||||
\(398\) | −9.23462 | + | 8.33454i | −0.00116304 | + | 0.00104968i | ||||
\(399\) | 5619.39 | + | 2971.38i | 0.705066 | + | 0.372820i | ||||
\(400\) | −17702.9 | + | 2572.82i | −2.21286 | + | 0.321603i | ||||
\(401\) | 3752.76 | − | 661.713i | 0.467341 | − | 0.0824049i | 0.0649814 | − | 0.997886i | \(-0.479301\pi\) |
0.402360 | + | 0.915482i | \(0.368190\pi\) | |||||||
\(402\) | 6318.00 | + | 3054.43i | 0.783864 | + | 0.378958i | ||||
\(403\) | 595.326 | − | 709.482i | 0.0735863 | − | 0.0876968i | ||||
\(404\) | −2748.96 | + | 692.253i | −0.338529 | + | 0.0852496i | ||||
\(405\) | 7001.83 | + | 12882.1i | 0.859071 | + | 1.58054i | ||||
\(406\) | −3646.23 | + | 4678.27i | −0.445713 | + | 0.571869i | ||||
\(407\) | −2415.90 | − | 2027.18i | −0.294230 | − | 0.246889i | ||||
\(408\) | −791.048 | + | 3830.99i | −0.0959870 | + | 0.464859i | ||||
\(409\) | −10.8822 | − | 61.7162i | −0.00131563 | − | 0.00746130i | 0.984143 | − | 0.177378i | \(-0.0567614\pi\) |
−0.985459 | + | 0.169916i | \(0.945650\pi\) | |||||||
\(410\) | 2928.40 | − | 1834.65i | 0.352740 | − | 0.220993i | ||||
\(411\) | 3591.34 | − | 6791.85i | 0.431016 | − | 0.815127i | ||||
\(412\) | 686.318 | + | 9494.36i | 0.0820691 | + | 1.13532i | ||||
\(413\) | −14391.5 | − | 8308.93i | −1.71467 | − | 0.989966i | ||||
\(414\) | 7748.83 | + | 7397.19i | 0.919889 | + | 0.878145i | ||||
\(415\) | 6577.61 | − | 3797.59i | 0.778029 | − | 0.449195i | ||||
\(416\) | −2144.83 | − | 11759.8i | −0.252786 | − | 1.38599i | ||||
\(417\) | −4343.83 | + | 1766.62i | −0.510116 | + | 0.207462i | ||||
\(418\) | −1419.19 | + | 51.2277i | −0.166064 | + | 0.00599433i | ||||
\(419\) | −4621.58 | + | 3877.96i | −0.538852 | + | 0.452150i | −0.871145 | − | 0.491026i | \(-0.836622\pi\) |
0.332293 | + | 0.943176i | \(0.392178\pi\) | |||||||
\(420\) | −2048.17 | − | 18653.9i | −0.237954 | − | 2.16718i | ||||
\(421\) | −5126.33 | + | 1865.83i | −0.593449 | + | 0.215998i | −0.621246 | − | 0.783616i | \(-0.713373\pi\) |
0.0277970 | + | 0.999614i | \(0.491151\pi\) | |||||||
\(422\) | −625.108 | + | 4486.09i | −0.0721085 | + | 0.517486i | ||||
\(423\) | 1475.95 | + | 5806.16i | 0.169653 | + | 0.667388i | ||||
\(424\) | 956.554 | + | 1306.88i | 0.109562 | + | 0.149688i | ||||
\(425\) | 9158.32 | + | 1614.86i | 1.04528 | + | 0.184311i | ||||
\(426\) | 1425.24 | + | 1027.97i | 0.162096 | + | 0.116913i | ||||
\(427\) | 3434.96 | − | 9437.46i | 0.389296 | − | 1.06958i | ||||
\(428\) | 1975.00 | − | 884.889i | 0.223049 | − | 0.0999363i | ||||
\(429\) | −969.921 | + | 3008.56i | −0.109157 | + | 0.338589i | ||||
\(430\) | −20148.0 | + | 4307.31i | −2.25958 | + | 0.483063i | ||||
\(431\) | 14707.1 | 1.64366 | 0.821831 | − | 0.569732i | \(-0.192953\pi\) | ||||
0.821831 | + | 0.569732i | \(0.192953\pi\) | |||||||
\(432\) | −835.140 | + | 8940.03i | −0.0930108 | + | 0.995665i | ||||
\(433\) | −6100.42 | −0.677061 | −0.338530 | − | 0.940955i | \(-0.609930\pi\) | ||||
−0.338530 | + | 0.940955i | \(0.609930\pi\) | |||||||
\(434\) | 870.723 | − | 186.147i | 0.0963043 | − | 0.0205883i | ||||
\(435\) | −6549.98 | − | 7241.04i | −0.721948 | − | 0.798117i | ||||
\(436\) | −11052.6 | + | 4952.05i | −1.21404 | + | 0.543946i | ||||
\(437\) | −2614.90 | + | 7184.37i | −0.286241 | + | 0.786442i | ||||
\(438\) | −1677.36 | + | 16509.4i | −0.182985 | + | 1.80103i | ||||
\(439\) | −660.771 | − | 116.512i | −0.0718380 | − | 0.0126670i | 0.137614 | − | 0.990486i | \(-0.456057\pi\) |
−0.209452 | + | 0.977819i | \(0.567168\pi\) | |||||||
\(440\) | 2476.20 | + | 3383.07i | 0.268291 | + | 0.366549i | ||||
\(441\) | 4329.85 | − | 322.729i | 0.467536 | − | 0.0348482i | ||||
\(442\) | −857.627 | + | 6154.76i | −0.0922922 | + | 0.662335i | ||||
\(443\) | 6643.90 | − | 2418.18i | 0.712554 | − | 0.259348i | 0.0397926 | − | 0.999208i | \(-0.487330\pi\) |
0.672761 | + | 0.739860i | \(0.265108\pi\) | |||||||
\(444\) | −13027.2 | − | 5727.79i | −1.39244 | − | 0.612228i | ||||
\(445\) | −10777.7 | + | 9043.55i | −1.14812 | + | 0.963383i | ||||
\(446\) | 13921.7 | − | 502.524i | 1.47805 | − | 0.0533524i | ||||
\(447\) | −11133.1 | − | 8657.10i | −1.17803 | − | 0.916033i | ||||
\(448\) | 5323.64 | − | 10184.8i | 0.561425 | − | 1.07407i | ||||
\(449\) | 2284.68 | − | 1319.06i | 0.240135 | − | 0.138642i | −0.375104 | − | 0.926983i | \(-0.622393\pi\) |
0.615239 | + | 0.788341i | \(0.289060\pi\) | |||||||
\(450\) | 21302.0 | + | 1366.34i | 2.23152 | + | 0.143134i | ||||
\(451\) | −484.637 | − | 279.805i | −0.0506001 | − | 0.0292140i | ||||
\(452\) | −571.772 | − | 7909.76i | −0.0594998 | − | 0.823105i | ||||
\(453\) | −4489.18 | − | 7147.67i | −0.465607 | − | 0.741339i | ||||
\(454\) | 2141.67 | − | 1341.76i | 0.221396 | − | 0.138705i | ||||
\(455\) | −5176.68 | − | 29358.4i | −0.533377 | − | 3.02493i | ||||
\(456\) | −6082.83 | + | 2015.61i | −0.624681 | + | 0.206995i | ||||
\(457\) | 3358.38 | + | 2818.01i | 0.343760 | + | 0.288449i | 0.798279 | − | 0.602288i | \(-0.205744\pi\) |
−0.454519 | + | 0.890737i | \(0.650189\pi\) | |||||||
\(458\) | −1370.41 | + | 1758.29i | −0.139814 | + | 0.179388i | ||||
\(459\) | 1869.17 | − | 4277.15i | 0.190077 | − | 0.434946i | ||||
\(460\) | 21887.5 | − | 5511.80i | 2.21850 | − | 0.558672i | ||||
\(461\) | −4035.24 | + | 4809.01i | −0.407678 | + | 0.485852i | −0.930345 | − | 0.366685i | \(-0.880493\pi\) |
0.522667 | + | 0.852537i | \(0.324937\pi\) | |||||||
\(462\) | −2513.52 | + | 1708.10i | −0.253116 | + | 0.172009i | ||||
\(463\) | −8451.29 | + | 1490.19i | −0.848304 | + | 0.149579i | −0.580869 | − | 0.813997i | \(-0.697287\pi\) |
−0.267435 | + | 0.963576i | \(0.586176\pi\) | |||||||
\(464\) | −859.971 | − | 5917.23i | −0.0860413 | − | 0.592027i | ||||
\(465\) | 54.5114 | + | 1464.72i | 0.00543636 | + | 0.146075i | ||||
\(466\) | −3886.34 | + | 3507.55i | −0.386333 | + | 0.348678i | ||||
\(467\) | 7600.83 | − | 13165.0i | 0.753158 | − | 1.30451i | −0.193127 | − | 0.981174i | \(-0.561863\pi\) |
0.946285 | − | 0.323334i | \(-0.104804\pi\) | |||||||
\(468\) | −398.951 | + | 14258.2i | −0.0394049 | + | 1.40830i | ||||
\(469\) | 5358.77 | + | 9281.65i | 0.527601 | + | 0.913832i | ||||
\(470\) | 12009.0 | + | 3886.37i | 1.17858 | + | 0.381415i | ||||
\(471\) | −2105.42 | − | 290.976i | −0.205971 | − | 0.0284660i | ||||
\(472\) | 16087.1 | − | 4674.28i | 1.56879 | − | 0.455829i | ||||
\(473\) | 2144.66 | + | 2555.91i | 0.208481 | + | 0.248458i | ||||
\(474\) | −740.679 | + | 2617.27i | −0.0717733 | + | 0.253618i | ||||
\(475\) | 5210.34 | + | 14315.3i | 0.503298 | + | 1.38280i | ||||
\(476\) | −4287.77 | + | 4160.15i | −0.412877 | + | 0.400589i | ||||
\(477\) | −794.109 | − | 1761.81i | −0.0762259 | − | 0.169115i | ||||
\(478\) | 2031.73 | + | 5011.77i | 0.194413 | + | 0.479567i | ||||
\(479\) | −1870.70 | + | 10609.3i | −0.178444 | + | 1.01200i | 0.755650 | + | 0.654976i | \(0.227321\pi\) |
−0.934093 | + | 0.357029i | \(0.883790\pi\) | |||||||
\(480\) | 15002.1 | + | 11525.0i | 1.42656 | + | 1.09592i | ||||
\(481\) | −21243.4 | − | 7731.97i | −2.01376 | − | 0.732947i | ||||
\(482\) | −1589.30 | − | 842.653i | −0.150188 | − | 0.0796303i | ||||
\(483\) | 3438.30 | + | 15995.5i | 0.323909 | + | 1.50688i | ||||
\(484\) | −4349.10 | + | 8970.38i | −0.408443 | + | 0.842447i | ||||
\(485\) | 696.608i | 0.0652193i | ||||||||
\(486\) | 3181.80 | − | 10230.7i | 0.296974 | − | 0.954886i | ||||
\(487\) | 10716.3i | 0.997130i | 0.866852 | + | 0.498565i | \(0.166139\pi\) | ||||
−0.866852 | + | 0.498565i | \(0.833861\pi\) | |||||||
\(488\) | 4470.29 | + | 9084.10i | 0.414673 | + | 0.842660i | ||||
\(489\) | −1547.43 | − | 7198.90i | −0.143103 | − | 0.665737i | ||||
\(490\) | 4285.22 | − | 8082.20i | 0.395074 | − | 0.745136i | ||||
\(491\) | 10849.3 | + | 3948.84i | 0.997197 | + | 0.362950i | 0.788503 | − | 0.615031i | \(-0.210857\pi\) |
0.208694 | + | 0.977981i | \(0.433079\pi\) | |||||||
\(492\) | −2452.97 | − | 599.516i | −0.224773 | − | 0.0549355i | ||||
\(493\) | −539.770 | + | 3061.19i | −0.0493104 | + | 0.279653i | ||||
\(494\) | −9434.02 | + | 3824.48i | −0.859224 | + | 0.348323i | ||||
\(495\) | −2055.68 | − | 4560.75i | −0.186659 | − | 0.414122i | ||||
\(496\) | −472.079 | + | 763.439i | −0.0427358 | + | 0.0691118i | ||||
\(497\) | 917.906 | + | 2521.93i | 0.0828445 | + | 0.227613i | ||||
\(498\) | −5340.33 | − | 1511.30i | −0.480534 | − | 0.135990i | ||||
\(499\) | −1631.63 | − | 1944.50i | −0.146376 | − | 0.174444i | 0.687875 | − | 0.725830i | \(-0.258544\pi\) |
−0.834251 | + | 0.551385i | \(0.814099\pi\) | |||||||
\(500\) | 14565.8 | − | 20147.5i | 1.30281 | − | 1.80204i | ||||
\(501\) | 10517.6 | + | 1453.58i | 0.937910 | + | 0.129623i | ||||
\(502\) | 6879.50 | − | 21257.8i | 0.611648 | − | 1.89001i | ||||
\(503\) | −6711.54 | − | 11624.7i | −0.594936 | − | 1.03046i | −0.993556 | − | 0.113343i | \(-0.963844\pi\) |
0.398620 | − | 0.917116i | \(-0.369489\pi\) | |||||||
\(504\) | −8729.08 | + | 10575.9i | −0.771477 | + | 0.934696i | ||||
\(505\) | 3563.41 | − | 6172.01i | 0.313999 | − | 0.543863i | ||||
\(506\) | −2448.95 | − | 2713.43i | −0.215157 | − | 0.238392i | ||||
\(507\) | 418.142 | + | 11235.4i | 0.0366279 | + | 0.984188i | ||||
\(508\) | 15914.5 | + | 1634.90i | 1.38994 | + | 0.142790i | ||||
\(509\) | 18764.0 | − | 3308.59i | 1.63399 | − | 0.288116i | 0.720034 | − | 0.693939i | \(-0.244126\pi\) |
0.913952 | + | 0.405823i | \(0.133015\pi\) | |||||||
\(510\) | −5527.64 | − | 8134.10i | −0.479938 | − | 0.706243i | ||||
\(511\) | −16290.5 | + | 19414.3i | −1.41027 | + | 1.68070i | ||||
\(512\) | 3696.27 | + | 10979.8i | 0.319050 | + | 0.947738i | ||||
\(513\) | 7598.83 | − | 851.549i | 0.653990 | − | 0.0732881i | ||||
\(514\) | −7484.80 | − | 5833.63i | −0.642296 | − | 0.500604i | ||||
\(515\) | −18332.8 | − | 15383.0i | −1.56862 | − | 1.31623i | ||||
\(516\) | 12520.5 | + | 8360.92i | 1.06819 | + | 0.713312i | ||||
\(517\) | −354.944 | − | 2012.99i | −0.0301943 | − | 0.171240i | ||||
\(518\) | −11538.8 | − | 18417.8i | −0.978737 | − | 1.56222i | ||||
\(519\) | −7173.41 | − | 11421.5i | −0.606701 | − | 0.965990i | ||||
\(520\) | 24973.8 | + | 16717.4i | 2.10610 | + | 1.40982i | ||||
\(521\) | 4444.68 | + | 2566.14i | 0.373752 | + | 0.215786i | 0.675096 | − | 0.737729i | \(-0.264102\pi\) |
−0.301344 | + | 0.953515i | \(0.597435\pi\) | |||||||
\(522\) | −456.704 | + | 7120.24i | −0.0382938 | + | 0.597020i | ||||
\(523\) | 4315.37 | − | 2491.48i | 0.360799 | − | 0.208307i | −0.308632 | − | 0.951181i | \(-0.599871\pi\) |
0.669431 | + | 0.742874i | \(0.266538\pi\) | |||||||
\(524\) | 4827.83 | + | 7121.43i | 0.402490 | + | 0.593704i | ||||
\(525\) | 25735.1 | + | 20011.6i | 2.13938 | + | 1.66358i | ||||
\(526\) | −189.457 | − | 5248.63i | −0.0157047 | − | 0.435078i | ||||
\(527\) | 357.455 | − | 299.940i | 0.0295465 | − | 0.0247924i | ||||
\(528\) | 510.886 | − | 3020.68i | 0.0421088 | − | 0.248974i | ||||
\(529\) | −7058.12 | + | 2568.95i | −0.580104 | + | 0.211141i | ||||
\(530\) | −4032.68 | − | 561.928i | −0.330506 | − | 0.0460540i | ||||
\(531\) | −19934.4 | + | 1485.83i | −1.62915 | + | 0.121430i | ||||
\(532\) | −9413.85 | − | 2675.47i | −0.767185 | − | 0.218038i | ||||
\(533\) | −3950.49 | − | 696.577i | −0.321040 | − | 0.0566081i | ||||
\(534\) | 10228.3 | + | 1039.20i | 0.828877 | + | 0.0842143i | ||||
\(535\) | −1860.89 | + | 5112.75i | −0.150380 | + | 0.413165i | ||||
\(536\) | −10492.5 | − | 2576.85i | −0.845536 | − | 0.207655i | ||||
\(537\) | −10.9513 | − | 12.1068i | −0.000880047 | − | 0.000972896i | ||||
\(538\) | −1626.14 | − | 7606.48i | −0.130312 | − | 0.609552i | ||||
\(539\) | −1481.43 | −0.118385 | ||||||||
\(540\) | −14669.0 | − | 17157.8i | −1.16899 | − | 1.36733i | ||||
\(541\) | −12536.1 | −0.996246 | −0.498123 | − | 0.867106i | \(-0.665977\pi\) | ||||
−0.498123 | + | 0.867106i | \(0.665977\pi\) | |||||||
\(542\) | 675.250 | + | 3158.56i | 0.0535138 | + | 0.250317i | ||||
\(543\) | −4026.40 | + | 12489.3i | −0.318212 | + | 0.987051i | ||||
\(544\) | −35.3569 | − | 6022.53i | −0.00278661 | − | 0.474657i | ||||
\(545\) | 10414.0 | − | 28612.2i | 0.818507 | − | 2.24883i | ||||
\(546\) | −12743.2 | + | 17668.1i | −0.998829 | + | 1.38484i | ||||
\(547\) | 844.463 | + | 148.902i | 0.0660085 | + | 0.0116391i | 0.206555 | − | 0.978435i | \(-0.433775\pi\) |
−0.140546 | + | 0.990074i | \(0.544886\pi\) | |||||||
\(548\) | −3233.69 | + | 11378.0i | −0.252074 | + | 0.886942i | ||||
\(549\) | −2976.36 | − | 11708.5i | −0.231380 | − | 0.910216i | ||||
\(550\) | −7213.39 | − | 1005.14i | −0.559237 | − | 0.0779261i | ||||
\(551\) | −4784.92 | + | 1741.57i | −0.369953 | + | 0.134652i | ||||
\(552\) | −14037.7 | − | 8658.65i | −1.08240 | − | 0.667639i | ||||
\(553\) | −3182.28 | + | 2670.25i | −0.244709 | + | 0.205335i | ||||
\(554\) | 719.014 | + | 19919.3i | 0.0551408 | + | 1.52760i | ||||
\(555\) | 33141.2 | − | 13478.4i | 2.53471 | − | 1.03086i | ||||
\(556\) | 5975.90 | − | 4051.24i | 0.455817 | − | 0.309013i | ||||
\(557\) | −16889.3 | + | 9751.04i | −1.28478 | + | 0.741768i | −0.977718 | − | 0.209922i | \(-0.932679\pi\) |
−0.307061 | + | 0.951690i | \(0.599346\pi\) | |||||||
\(558\) | 739.573 | − | 774.730i | 0.0561087 | − | 0.0587759i | ||||
\(559\) | 20712.6 | + | 11958.4i | 1.56718 | + | 0.904809i | ||||
\(560\) | 9057.12 | + | 27435.8i | 0.683452 | + | 2.07031i | ||||
\(561\) | −744.461 | + | 1407.91i | −0.0560271 | + | 0.105957i | ||||
\(562\) | −5770.17 | − | 9210.12i | −0.433096 | − | 0.691291i | ||||
\(563\) | 3741.15 | + | 21217.1i | 0.280054 | + | 1.58827i | 0.722434 | + | 0.691440i | \(0.243023\pi\) |
−0.442380 | + | 0.896828i | \(0.645866\pi\) | |||||||
\(564\) | −4081.73 | − | 8271.15i | −0.304738 | − | 0.617515i | ||||
\(565\) | 15273.0 | + | 12815.6i | 1.13724 | + | 0.954259i | ||||
\(566\) | 12506.7 | + | 9747.67i | 0.928790 | + | 0.723896i | ||||
\(567\) | 12801.2 | − | 10191.8i | 0.948150 | − | 0.754880i | ||||
\(568\) | −2475.46 | − | 1091.71i | −0.182866 | − | 0.0806467i | ||||
\(569\) | 2424.96 | − | 2889.96i | 0.178664 | − | 0.212923i | −0.669279 | − | 0.743011i | \(-0.733397\pi\) |
0.847942 | + | 0.530088i | \(0.177841\pi\) | |||||||
\(570\) | 7012.07 | − | 14504.3i | 0.515269 | − | 1.06582i | ||||
\(571\) | 3239.31 | − | 571.178i | 0.237410 | − | 0.0418618i | −0.0536771 | − | 0.998558i | \(-0.517094\pi\) |
0.291087 | + | 0.956697i | \(0.405983\pi\) | |||||||
\(572\) | 497.346 | − | 4841.27i | 0.0363550 | − | 0.353887i | ||||
\(573\) | 21006.3 | + | 11107.5i | 1.53150 | + | 0.809816i | ||||
\(574\) | −2583.88 | − | 2862.93i | −0.187891 | − | 0.208182i | ||||
\(575\) | −19604.9 | + | 33956.7i | −1.42188 | + | 2.46277i | ||||
\(576\) | −1604.79 | − | 13730.5i | −0.116087 | − | 0.993239i | ||||
\(577\) | −3326.06 | − | 5760.91i | −0.239975 | − | 0.415650i | 0.720732 | − | 0.693214i | \(-0.243806\pi\) |
−0.960707 | + | 0.277565i | \(0.910473\pi\) | |||||||
\(578\) | 3314.60 | − | 10242.2i | 0.238528 | − | 0.737057i | ||||
\(579\) | −8278.13 | − | 20354.6i | −0.594175 | − | 1.46098i | ||||
\(580\) | 12182.3 | + | 8807.35i | 0.872145 | + | 0.630527i | ||||
\(581\) | −5448.43 | − | 6493.19i | −0.389052 | − | 0.463654i | ||||
\(582\) | 364.942 | − | 354.874i | 0.0259920 | − | 0.0252749i | ||||
\(583\) | 225.516 | + | 619.600i | 0.0160204 | + | 0.0440158i | ||||
\(584\) | −2760.05 | − | 25399.2i | −0.195568 | − | 1.79970i | ||||
\(585\) | −25028.5 | − | 25681.1i | −1.76889 | − | 1.81501i | ||||
\(586\) | 3073.34 | − | 1245.91i | 0.216653 | − | 0.0878296i | ||||
\(587\) | 2990.80 | − | 16961.7i | 0.210296 | − | 1.19265i | −0.678591 | − | 0.734517i | \(-0.737409\pi\) |
0.888886 | − | 0.458128i | \(-0.151480\pi\) | |||||||
\(588\) | −6417.16 | + | 1872.36i | −0.450067 | + | 0.131318i | ||||
\(589\) | 718.296 | + | 261.438i | 0.0502493 | + | 0.0182893i | ||||
\(590\) | −19728.9 | + | 37210.0i | −1.37665 | + | 2.59646i | ||||
\(591\) | 12327.0 | + | 3974.08i | 0.857981 | + | 0.276602i | ||||
\(592\) | 21452.1 | + | 4454.59i | 1.48932 | + | 0.309261i | ||||
\(593\) | − | 5477.69i | − | 0.379328i | −0.981849 | − | 0.189664i | \(-0.939260\pi\) | ||
0.981849 | − | 0.189664i | \(-0.0607399\pi\) | |||||||
\(594\) | −1342.08 | + | 3400.33i | −0.0927037 | + | 0.234877i | ||||
\(595\) | − | 15019.7i | − | 1.03487i | ||||||
\(596\) | 19537.6 | + | 9472.41i | 1.34277 | + | 0.651015i | ||||
\(597\) | −16.9479 | + | 15.3305i | −0.00116186 | + | 0.00105098i | ||||
\(598\) | −23148.5 | − | 12273.4i | −1.58297 | − | 0.839295i | ||||
\(599\) | 12022.6 | + | 4375.86i | 0.820083 | + | 0.298486i | 0.717782 | − | 0.696268i | \(-0.245157\pi\) |
0.102301 | + | 0.994754i | \(0.467380\pi\) | |||||||
\(600\) | −32517.0 | + | 4762.94i | −2.21250 | + | 0.324077i | ||||
\(601\) | 868.857 | − | 4927.53i | 0.0589707 | − | 0.334440i | −0.941022 | − | 0.338346i | \(-0.890132\pi\) |
0.999992 | + | 0.00390672i | \(0.00124355\pi\) | |||||||
\(602\) | 8638.48 | + | 21308.9i | 0.584848 | + | 1.44267i | ||||
\(603\) | 11613.2 | + | 5598.36i | 0.784287 | + | 0.378081i | ||||
\(604\) | 9049.00 | + | 9326.58i | 0.609600 | + | 0.628300i | ||||
\(605\) | −8572.01 | − | 23551.4i | −0.576036 | − | 1.58265i | ||||
\(606\) | −5048.73 | + | 1277.40i | −0.338433 | + | 0.0856282i | ||||
\(607\) | 7591.63 | + | 9047.35i | 0.507636 | + | 0.604977i | 0.957611 | − | 0.288064i | \(-0.0930117\pi\) |
−0.449975 | + | 0.893041i | \(0.648567\pi\) | |||||||
\(608\) | 8515.00 | − | 4983.02i | 0.567975 | − | 0.332382i | ||||
\(609\) | −6688.94 | + | 8602.02i | −0.445073 | + | 0.572367i | ||||
\(610\) | −24217.0 | − | 7837.14i | −1.60740 | − | 0.520191i | ||||
\(611\) | −7326.11 | − | 12689.2i | −0.485078 | − | 0.840180i | ||||
\(612\) | −1445.38 | + | 7039.61i | −0.0954670 | + | 0.464966i | ||||
\(613\) | 8639.83 | − | 14964.6i | 0.569265 | − | 0.985996i | −0.427374 | − | 0.904075i | \(-0.640561\pi\) |
0.996639 | − | 0.0819212i | \(-0.0261056\pi\) | |||||||
\(614\) | 16764.5 | − | 15130.5i | 1.10189 | − | 0.994492i | ||||
\(615\) | 5376.05 | − | 3376.49i | 0.352493 | − | 0.221387i | ||||
\(616\) | 3238.30 | − | 3377.09i | 0.211810 | − | 0.220887i | ||||
\(617\) | 11784.7 | − | 2077.96i | 0.768936 | − | 0.135584i | 0.224599 | − | 0.974451i | \(-0.427893\pi\) |
0.544336 | + | 0.838867i | \(0.316782\pi\) | |||||||
\(618\) | 1280.35 | + | 17440.8i | 0.0833389 | + | 1.13523i | ||||
\(619\) | 8980.69 | − | 10702.8i | 0.583141 | − | 0.694961i | −0.391131 | − | 0.920335i | \(-0.627916\pi\) |
0.974272 | + | 0.225374i | \(0.0723604\pi\) | |||||||
\(620\) | −551.072 | − | 2188.32i | −0.0356961 | − | 0.141750i | ||||
\(621\) | 14250.7 | + | 13573.6i | 0.920871 | + | 0.877115i | ||||
\(622\) | −15400.9 | + | 19760.0i | −0.992797 | + | 1.27380i | ||||
\(623\) | 12028.0 | + | 10092.7i | 0.773500 | + | 0.649043i | ||||
\(624\) | −3964.47 | − | 21599.7i | −0.254336 | − | 1.38571i | ||||
\(625\) | 4786.38 | + | 27144.9i | 0.306328 | + | 1.73727i | ||||
\(626\) | −5111.61 | + | 3202.44i | −0.326359 | + | 0.204465i | ||||
\(627\) | −2607.12 | + | 97.0273i | −0.166058 | + | 0.00618006i | ||||
\(628\) | 3263.79 | − | 235.930i | 0.207388 | − | 0.0149914i | ||||
\(629\) | −9863.92 | − | 5694.94i | −0.625278 | − | 0.361005i | ||||
\(630\) | −3801.06 | − | 34265.2i | −0.240378 | − | 2.16692i | ||||
\(631\) | 1463.17 | − | 844.764i | 0.0923107 | − | 0.0532956i | −0.453134 | − | 0.891442i | \(-0.649694\pi\) |
0.545445 | + | 0.838147i | \(0.316361\pi\) | |||||||
\(632\) | 277.409 | − | 4178.60i | 0.0174600 | − | 0.262999i | ||||
\(633\) | −1139.18 | + | 8242.75i | −0.0715297 | + | 0.517567i | ||||
\(634\) | 4604.54 | − | 166.207i | 0.288438 | − | 0.0104116i | ||||
\(635\) | −30810.8 | + | 25853.3i | −1.92549 | + | 1.61568i | ||||
\(636\) | 1759.99 | + | 2398.92i | 0.109730 | + | 0.149565i | ||||
\(637\) | −9978.82 | + | 3631.99i | −0.620683 | + | 0.225910i | ||||
\(638\) | 335.971 | − | 2411.09i | 0.0208483 | − | 0.149618i | ||||
\(639\) | 2620.44 | + | 1885.57i | 0.162227 | + | 0.116732i | ||||
\(640\) | −26282.4 | − | 12552.4i | −1.62328 | − | 0.775279i | ||||
\(641\) | 8587.43 | + | 1514.19i | 0.529147 | + | 0.0933028i | 0.431838 | − | 0.901951i | \(-0.357865\pi\) |
0.0973090 | + | 0.995254i | \(0.468976\pi\) | |||||||
\(642\) | 3626.48 | − | 1629.70i | 0.222938 | − | 0.100186i | ||||
\(643\) | 6381.45 | − | 17532.9i | 0.391384 | − | 1.07532i | −0.574986 | − | 0.818163i | \(-0.694993\pi\) |
0.966370 | − | 0.257155i | \(-0.0827852\pi\) | |||||||
\(644\) | −10299.4 | − | 22987.4i | −0.630206 | − | 1.40657i | ||||
\(645\) | −37005.3 | + | 7954.43i | −2.25904 | + | 0.485590i | ||||
\(646\) | −5015.49 | + | 1072.23i | −0.305467 | + | 0.0653040i | ||||
\(647\) | 16666.6 | 1.01272 | 0.506361 | − | 0.862322i | \(-0.330990\pi\) | ||||
0.506361 | + | 0.862322i | \(0.330990\pi\) | |||||||
\(648\) | −1515.88 | + | 16425.6i | −0.0918972 | + | 0.995769i | ||||
\(649\) | 6820.40 | 0.412518 | ||||||||
\(650\) | −51053.4 | + | 10914.4i | −3.08074 | + | 0.658612i | ||||
\(651\) | 1599.24 | − | 343.762i | 0.0962812 | − | 0.0206960i | ||||
\(652\) | 4635.32 | + | 10345.6i | 0.278425 | + | 0.621421i | ||||
\(653\) | −7683.32 | + | 21109.8i | −0.460447 | + | 1.26507i | 0.464704 | + | 0.885466i | \(0.346161\pi\) |
−0.925151 | + | 0.379600i | \(0.876061\pi\) | |||||||
\(654\) | −20294.7 | + | 9120.21i | −1.21343 | + | 0.545303i | ||||
\(655\) | −21301.5 | − | 3756.03i | −1.27072 | − | 0.224062i | ||||
\(656\) | 3885.97 | + | 117.431i | 0.231283 | + | 0.00698920i | ||||
\(657\) | −3047.59 | + | 30333.1i | −0.180971 | + | 1.80123i | ||||
\(658\) | 1944.07 | − | 13951.6i | 0.115179 | − | 0.826582i | ||||
\(659\) | −18235.7 | + | 6637.24i | −1.07794 | + | 0.392337i | −0.819139 | − | 0.573594i | \(-0.805549\pi\) |
−0.258798 | + | 0.965932i | \(0.583326\pi\) | |||||||
\(660\) | 4556.02 | + | 6210.01i | 0.268701 | + | 0.366249i | ||||
\(661\) | 21586.6 | − | 18113.3i | 1.27023 | − | 1.06585i | 0.275719 | − | 0.961238i | \(-0.411084\pi\) |
0.994513 | − | 0.104613i | \(-0.0333602\pi\) | |||||||
\(662\) | −12408.5 | + | 447.902i | −0.728504 | + | 0.0262964i | ||||
\(663\) | −1562.91 | + | 11308.8i | −0.0915514 | + | 0.662438i | ||||
\(664\) | 8526.11 | + | 566.032i | 0.498309 | + | 0.0330818i | ||||
\(665\) | 21308.0 | − | 12302.2i | 1.24254 | − | 0.717379i | ||||
\(666\) | −23944.3 | − | 10495.9i | −1.39313 | − | 0.610670i | ||||
\(667\) | −11350.1 | − | 6552.98i | −0.658887 | − | 0.380408i | ||||
\(668\) | −16304.3 | + | 1178.59i | −0.944361 | + | 0.0682650i | ||||
\(669\) | 25574.8 | − | 951.799i | 1.47799 | − | 0.0550055i | ||||
\(670\) | 23018.4 | − | 14421.1i | 1.32728 | − | 0.831545i | ||||
\(671\) | 715.771 | + | 4059.34i | 0.0411804 | + | 0.233545i | ||||
\(672\) | 9759.23 | − | 18721.5i | 0.560224 | − | 1.07470i | ||||
\(673\) | 1278.92 | + | 1073.15i | 0.0732525 | + | 0.0614661i | 0.678679 | − | 0.734435i | \(-0.262553\pi\) |
−0.605426 | + | 0.795901i | \(0.706997\pi\) | |||||||
\(674\) | 5980.63 | − | 7673.41i | 0.341788 | − | 0.438529i | ||||
\(675\) | 39137.0 | + | 2466.36i | 2.23168 | + | 0.140638i | ||||
\(676\) | −4227.11 | − | 16786.0i | −0.240505 | − | 0.955053i | ||||
\(677\) | −864.011 | + | 1029.69i | −0.0490497 | + | 0.0584551i | −0.790011 | − | 0.613092i | \(-0.789925\pi\) |
0.740962 | + | 0.671547i | \(0.234370\pi\) | |||||||
\(678\) | −1066.66 | − | 14530.0i | −0.0604204 | − | 0.823038i | ||||
\(679\) | 765.608 | − | 134.997i | 0.0432715 | − | 0.00762993i | ||||
\(680\) | 10928.7 | + | 10479.6i | 0.616319 | + | 0.590991i | ||||
\(681\) | 3931.74 | − | 2469.38i | 0.221240 | − | 0.138953i | ||||
\(682\) | −271.289 | + | 244.847i | −0.0152320 | + | 0.0137473i | ||||
\(683\) | 5035.93 | − | 8722.48i | 0.282129 | − | 0.488662i | −0.689780 | − | 0.724019i | \(-0.742293\pi\) |
0.971909 | + | 0.235357i | \(0.0756259\pi\) | |||||||
\(684\) | −11170.7 | + | 3715.41i | −0.624449 | + | 0.207693i | ||||
\(685\) | −14868.9 | − | 25753.7i | −0.829361 | − | 1.43650i | ||||
\(686\) | 11004.6 | + | 3561.34i | 0.612476 | + | 0.198211i | ||||
\(687\) | −2513.98 | + | 3233.00i | −0.139613 | + | 0.179544i | ||||
\(688\) | −21532.2 | − | 8582.15i | −1.19318 | − | 0.475569i | ||||
\(689\) | 3038.13 | + | 3620.70i | 0.167988 | + | 0.200200i | ||||
\(690\) | 40198.6 | − | 10170.8i | 2.21788 | − | 0.561153i | ||||
\(691\) | 7855.78 | + | 21583.6i | 0.432486 | + | 1.18825i | 0.944282 | + | 0.329139i | \(0.106758\pi\) |
−0.511795 | + | 0.859107i | \(0.671019\pi\) | |||||||
\(692\) | 14459.7 | + | 14903.3i | 0.794329 | + | 0.818696i | ||||
\(693\) | −4614.12 | + | 3143.14i | −0.252924 | + | 0.172292i | ||||
\(694\) | −1777.06 | − | 4383.55i | −0.0971992 | − | 0.239766i | ||||
\(695\) | −3151.85 | + | 17875.0i | −0.172024 | + | 0.975594i | ||||
\(696\) | −1592.02 | − | 10868.9i | −0.0867034 | − | 0.591930i | ||||
\(697\) | −1899.18 | − | 691.243i | −0.103209 | − | 0.0375649i | ||||
\(698\) | −16768.4 | − | 8890.67i | −0.909302 | − | 0.482116i | ||||
\(699\) | −7132.45 | + | 6451.75i | −0.385943 | + | 0.349110i | ||||
\(700\) | −45163.0 | − | 21896.3i | −2.43857 | − | 1.18229i | ||||
\(701\) | − | 23299.6i | − | 1.25537i | −0.778467 | − | 0.627685i | \(-0.784002\pi\) | ||
0.778467 | − | 0.627685i | \(-0.215998\pi\) | |||||||
\(702\) | −703.623 | + | 26194.8i | −0.0378298 | + | 1.40835i | ||||
\(703\) | − | 18658.2i | − | 1.00100i | ||||||
\(704\) | 197.814 | + | 4712.54i | 0.0105900 | + | 0.252288i | ||||
\(705\) | 22069.9 | + | 7115.04i | 1.17901 | + | 0.380096i | ||||
\(706\) | −9660.83 | + | 18221.0i | −0.515000 | + | 0.971325i | ||||
\(707\) | −7473.92 | − | 2720.28i | −0.397575 | − | 0.144706i | ||||
\(708\) | 29544.2 | − | 8620.25i | 1.56828 | − | 0.457583i | ||||
\(709\) | 3691.33 | − | 20934.6i | 0.195530 | − | 1.10891i | −0.716131 | − | 0.697965i | \(-0.754089\pi\) |
0.911662 | − | 0.410942i | \(-0.134800\pi\) | |||||||
\(710\) | 6303.54 | − | 2555.41i | 0.333194 | − | 0.135074i | ||||
\(711\) | −1355.34 | + | 4809.74i | −0.0714896 | + | 0.253698i | ||||
\(712\) | −15735.9 | + | 1709.97i | −0.828268 | + | 0.0900053i | ||||
\(713\) | 672.898 | + | 1848.77i | 0.0353440 | + | 0.0971067i | ||||
\(714\) | −7868.58 | + | 7651.49i | −0.412429 | + | 0.401050i | ||||
\(715\) | 7864.71 | + | 9372.80i | 0.411361 | + | 0.490242i | ||||
\(716\) | 20.3685 | + | 14.7256i | 0.00106314 | + | 0.000768605i | ||||
\(717\) | 3742.83 | + | 9203.03i | 0.194949 | + | 0.479349i | ||||
\(718\) | 8383.71 | − | 25905.9i | 0.435762 | − | 1.34652i | ||||
\(719\) | −3206.84 | − | 5554.42i | −0.166335 | − | 0.288101i | 0.770793 | − | 0.637085i | \(-0.219860\pi\) |
−0.937129 | + | 0.348984i | \(0.886527\pi\) | |||||||
\(720\) | 27584.3 | + | 21141.9i | 1.42779 | + | 1.09432i | ||||
\(721\) | −13354.0 | + | 23129.8i | −0.689775 | + | 1.19473i | ||||
\(722\) | 7369.01 | + | 8164.81i | 0.379842 | + | 0.420863i | ||||
\(723\) | −2921.46 | − | 1544.79i | −0.150277 | − | 0.0794623i | ||||
\(724\) | 2064.61 | − | 20097.4i | 0.105982 | − | 1.03165i | ||||
\(725\) | −25717.7 | + | 4534.72i | −1.31742 | + | 0.232297i | ||||
\(726\) | −7971.37 | + | 16488.6i | −0.407500 | + | 0.842904i | ||||
\(727\) | 19629.2 | − | 23393.1i | 1.00138 | − | 1.19340i | 0.0203036 | − | 0.999794i | \(-0.493537\pi\) |
0.981079 | − | 0.193608i | \(-0.0620188\pi\) | |||||||
\(728\) | 13533.5 | − | 30687.2i | 0.688990 | − | 1.56228i | ||||
\(729\) | 5824.32 | − | 18801.5i | 0.295906 | − | 0.955217i | ||||
\(730\) | 50661.2 | + | 39485.2i | 2.56857 | + | 2.00193i | ||||
\(731\) | 9230.79 | + | 7745.55i | 0.467049 | + | 0.391901i | ||||
\(732\) | 8231.11 | + | 16679.4i | 0.415615 | + | 0.842195i | ||||
\(733\) | −1541.74 | − | 8743.67i | −0.0776885 | − | 0.440593i | −0.998696 | − | 0.0510488i | \(-0.983744\pi\) |
0.921008 | − | 0.389544i | \(-0.127368\pi\) | |||||||
\(734\) | 13376.0 | + | 21350.3i | 0.672639 | + | 1.07364i | ||||
\(735\) | 7855.84 | − | 14856.7i | 0.394241 | − | 0.745577i | ||||
\(736\) | 23912.3 | + | 8544.73i | 1.19758 | + | 0.427939i | ||||
\(737\) | −3809.43 | − | 2199.37i | −0.190396 | − | 0.109925i | ||||
\(738\) | −4507.62 | − | 1096.34i | −0.224834 | − | 0.0546840i | ||||
\(739\) | −15861.5 | + | 9157.65i | −0.789547 | + | 0.455845i | −0.839803 | − | 0.542891i | \(-0.817330\pi\) |
0.0502560 | + | 0.998736i | \(0.483996\pi\) | |||||||
\(740\) | −45593.1 | + | 30908.9i | −2.26491 | + | 1.53545i | ||||
\(741\) | −17323.5 | + | 7045.40i | −0.858834 | + | 0.349284i | ||||
\(742\) | 163.914 | + | 4541.02i | 0.00810982 | + | 0.224671i | ||||
\(743\) | 686.598 | − | 576.124i | 0.0339015 | − | 0.0284468i | −0.625679 | − | 0.780080i | \(-0.715178\pi\) |
0.659581 | + | 0.751634i | \(0.270734\pi\) | |||||||
\(744\) | −865.695 | + | 1403.50i | −0.0426585 | + | 0.0691595i | ||||
\(745\) | −51295.4 | + | 18670.0i | −2.52257 | + | 0.918142i | ||||
\(746\) | 3843.92 | + | 535.626i | 0.188654 | + | 0.0262878i | ||||
\(747\) | −9813.92 | − | 2765.46i | −0.480686 | − | 0.135452i | ||||
\(748\) | 670.323 | − | 2358.58i | 0.0327666 | − | 0.115292i | ||||
\(749\) | 5979.80 | + | 1054.40i | 0.291719 | + | 0.0514379i | ||||
\(750\) | 26717.7 | − | 37043.1i | 1.30079 | − | 1.80350i | ||||
\(751\) | −8072.18 | + | 22178.1i | −0.392221 | + | 1.07762i | 0.573764 | + | 0.819021i | \(0.305483\pi\) |
−0.965985 | + | 0.258598i | \(0.916740\pi\) | |||||||
\(752\) | 8795.14 | + | 11148.9i | 0.426497 | + | 0.540638i | ||||
\(753\) | 12594.8 | − | 39067.2i | 0.609533 | − | 1.89069i | ||||
\(754\) | −3648.16 | − | 17064.7i | −0.176205 | − | 0.824218i | ||||
\(755\) | −32670.2 | −1.57482 | ||||||||
\(756\) | −16014.6 | + | 19447.0i | −0.770431 | + | 0.935559i | ||||
\(757\) | −11076.0 | −0.531789 | −0.265895 | − | 0.964002i | \(-0.585667\pi\) | ||||
−0.265895 | + | 0.964002i | \(0.585667\pi\) | |||||||
\(758\) | −6168.89 | − | 28855.7i | −0.295599 | − | 1.38270i | ||||
\(759\) | −4504.59 | − | 4979.85i | −0.215423 | − | 0.238151i | ||||
\(760\) | −5915.70 | + | 24087.7i | −0.282349 | + | 1.14968i | ||||
\(761\) | −13337.9 | + | 36645.6i | −0.635347 | + | 1.74560i | 0.0305248 | + | 0.999534i | \(0.490282\pi\) |
−0.665871 | + | 0.746067i | \(0.731940\pi\) | |||||||
\(762\) | 29240.1 | + | 2970.81i | 1.39010 | + | 0.141235i | ||||
\(763\) | −33464.4 | − | 5900.68i | −1.58780 | − | 0.279973i | ||||
\(764\) | −35190.7 | − | 10001.4i | −1.66643 | − | 0.473609i | ||||
\(765\) | −10171.6 | − | 14931.9i | −0.480727 | − | 0.705706i | ||||
\(766\) | 7979.77 | + | 1111.93i | 0.376398 | + | 0.0524487i | ||||
\(767\) | 45941.9 | − | 16721.5i | 2.16280 | − | 0.787194i | ||||
\(768\) | 6813.03 | + | 20163.5i | 0.320109 | + | 0.947381i | ||||
\(769\) | 27509.8 | − | 23083.5i | 1.29002 | − | 1.08246i | 0.298246 | − | 0.954489i | \(-0.403598\pi\) |
0.991778 | − | 0.127970i | \(-0.0408461\pi\) | |||||||
\(770\) | 424.320 | + | 11755.2i | 0.0198590 | + | 0.550166i | ||||
\(771\) | −13762.4 | − | 10701.7i | −0.642856 | − | 0.499885i | ||||
\(772\) | 18983.6 | + | 28002.3i | 0.885019 | + | 1.30547i | ||||
\(773\) | 13097.5 | − | 7561.83i | 0.609422 | − | 0.351850i | −0.163317 | − | 0.986574i | \(-0.552219\pi\) |
0.772739 | + | 0.634724i | \(0.218886\pi\) | |||||||
\(774\) | 23018.8 | + | 15334.3i | 1.06899 | + | 0.712117i | ||||
\(775\) | 3395.00 | + | 1960.10i | 0.157357 | + | 0.0908504i | ||||
\(776\) | −435.955 | + | 651.267i | −0.0201674 | + | 0.0301277i | ||||
\(777\) | −21236.0 | − | 33811.9i | −0.980484 | − | 1.56113i | ||||
\(778\) | −12435.0 | − | 19848.2i | −0.573027 | − | 0.914643i | ||||
\(779\) | −574.910 | − | 3260.47i | −0.0264419 | − | 0.149960i | ||||
\(780\) | 45914.1 | + | 30660.4i | 2.10768 | + | 1.40746i | ||||
\(781\) | −843.791 | − | 708.025i | −0.0386597 | − | 0.0324393i | ||||
\(782\) | −10411.8 | − | 8114.96i | −0.476121 | − | 0.371087i | ||||
\(783\) | −824.388 | + | 13081.6i | −0.0376261 | + | 0.597062i | ||||
\(784\) | 9064.35 | − | 4874.34i | 0.412917 | − | 0.222046i | ||||
\(785\) | −5288.09 | + | 6302.09i | −0.240433 | + | 0.286537i | ||||
\(786\) | 8883.92 | + | 13073.0i | 0.403154 | + | 0.593254i | ||||
\(787\) | −20415.4 | + | 3599.79i | −0.924691 | + | 0.163048i | −0.615667 | − | 0.788006i | \(-0.711113\pi\) |
−0.309024 | + | 0.951054i | \(0.600002\pi\) | |||||||
\(788\) | −19836.2 | − | 2037.79i | −0.896746 | − | 0.0921233i | ||||
\(789\) | −358.838 | − | 9641.95i | −0.0161913 | − | 0.435060i | ||||
\(790\) | 7054.05 | + | 7815.84i | 0.317686 | + | 0.351994i | ||||
\(791\) | 11125.2 | − | 19269.4i | 0.500085 | − | 0.866172i | ||||
\(792\) | 932.350 | − | 5550.40i | 0.0418303 | − | 0.249021i | ||||
\(793\) | 14773.6 | + | 25588.7i | 0.661573 | + | 1.14588i | ||||
\(794\) | 1535.44 | − | 4744.56i | 0.0686283 | − | 0.212063i | ||||
\(795\) | −7409.65 | − | 1024.04i | −0.330558 | − | 0.0456843i | ||||
\(796\) | 20.6140 | − | 28.5133i | 0.000917893 | − | 0.00126963i | ||||
\(797\) | 644.051 | + | 767.550i | 0.0286242 | + | 0.0341129i | 0.780167 | − | 0.625572i | \(-0.215134\pi\) |
−0.751542 | + | 0.659685i | \(0.770690\pi\) | |||||||
\(798\) | −17299.8 | − | 4895.81i | −0.767428 | − | 0.217180i | ||||
\(799\) | −2524.85 | − | 6936.97i | −0.111793 | − | 0.307149i | ||||
\(800\) | 47443.6 | − | 17584.1i | 2.09673 | − | 0.777117i | ||||
\(801\) | 18792.6 | + | 1888.11i | 0.828970 | + | 0.0832872i | ||||
\(802\) | −9988.58 | + | 4049.30i | −0.439787 | + | 0.178286i | ||||
\(803\) | 1806.23 | − | 10243.6i | 0.0793777 | − | 0.450173i | ||||
\(804\) | −19281.2 | − | 4712.42i | −0.845767 | − | 0.206709i | ||||
\(805\) | 59508.3 | + | 21659.2i | 2.60545 | + | 0.948308i | ||||
\(806\) | −1227.10 | + | 2314.40i | −0.0536264 | + | 0.101143i | ||||
\(807\) | −3003.05 | − | 13970.7i | −0.130994 | − | 0.609406i | ||||
\(808\) | 7194.08 | − | 3540.21i | 0.313226 | − | 0.154139i | ||||
\(809\) | 41966.0i | 1.82379i | 0.410422 | + | 0.911896i | \(0.365381\pi\) | ||||
−0.410422 | + | 0.911896i | \(0.634619\pi\) | |||||||
\(810\) | −26983.9 | − | 31490.8i | −1.17052 | − | 1.36602i | ||||
\(811\) | − | 31199.8i | − | 1.35089i | −0.737409 | − | 0.675446i | \(-0.763951\pi\) | ||
0.737409 | − | 0.675446i | \(-0.236049\pi\) | |||||||
\(812\) | 7318.89 | − | 15095.8i | 0.316309 | − | 0.652413i | ||||
\(813\) | 1247.00 | + | 5801.26i | 0.0537937 | + | 0.250257i | ||||
\(814\) | 7880.90 | + | 4178.49i | 0.339343 | + | 0.179921i | ||||
\(815\) | −26782.1 | − | 9747.90i | −1.15109 | − | 0.418962i | ||||
\(816\) | −77.3292 | − | 11064.0i | −0.00331748 | − | 0.474654i | ||||
\(817\) | −3427.72 | + | 19439.6i | −0.146782 | + | 0.832441i | ||||
\(818\) | 66.5930 | + | 164.268i | 0.00284642 | + | 0.00702138i | ||||
\(819\) | −23374.5 | + | 32484.5i | −0.997279 | + | 1.38596i | ||||
\(820\) | −7014.90 | + | 6806.12i | −0.298745 | + | 0.289854i | ||||
\(821\) | −6674.43 | − | 18337.8i | −0.283726 | − | 0.779531i | −0.996910 | − | 0.0785540i | \(-0.974970\pi\) |
0.713184 | − | 0.700977i | \(-0.247253\pi\) | |||||||
\(822\) | −5917.29 | + | 20909.3i | −0.251082 | + | 0.887223i | ||||
\(823\) | 23386.8 | + | 27871.3i | 0.990538 | + | 1.18048i | 0.983575 | + | 0.180502i | \(0.0577721\pi\) |
0.00696342 | + | 0.999976i | \(0.497783\pi\) | |||||||
\(824\) | −7512.42 | − | 25854.9i | −0.317606 | − | 1.09308i | ||||
\(825\) | −13253.9 | − | 1831.74i | −0.559323 | − | 0.0773006i | ||||
\(826\) | 44719.0 | + | 14472.1i | 1.88374 | + | 0.609621i | ||||
\(827\) | −1271.98 | − | 2203.14i | −0.0534839 | − | 0.0926368i | 0.838044 | − | 0.545603i | \(-0.183699\pi\) |
−0.891528 | + | 0.452966i | \(0.850366\pi\) | |||||||
\(828\) | −25806.7 | − | 15878.1i | −1.08315 | − | 0.666428i | ||||
\(829\) | 2460.88 | − | 4262.37i | 0.103100 | − | 0.178575i | −0.809860 | − | 0.586623i | \(-0.800457\pi\) |
0.912960 | + | 0.408048i | \(0.133790\pi\) | |||||||
\(830\) | −15947.6 | + | 14393.3i | −0.666928 | + | 0.601924i | ||||
\(831\) | 1361.84 | + | 36592.6i | 0.0568493 | + | 1.52754i | ||||
\(832\) | 12886.1 | + | 31258.5i | 0.536955 | + | 1.30252i | ||||
\(833\) | −5268.96 | + | 929.060i | −0.219158 | + | 0.0386435i | ||||
\(834\) | 10970.1 | − | 7454.88i | 0.455471 | − | 0.309522i | ||||
\(835\) | 26416.7 | − | 31482.2i | 1.09484 | − | 1.30477i | ||||
\(836\) | 3895.09 | − | 980.876i | 0.161142 | − | 0.0405793i | ||||
\(837\) | 1357.09 | − | 1424.79i | 0.0560429 | − | 0.0588386i | ||||
\(838\) | 10489.9 | − | 13459.0i | 0.432418 | − | 0.554811i | ||||
\(839\) | 9175.11 | + | 7698.83i | 0.377545 | + | 0.316798i | 0.811738 | − | 0.584022i | \(-0.198522\pi\) |
−0.434193 | + | 0.900820i | \(0.642966\pi\) | |||||||
\(840\) | 16695.4 | + | 50384.2i | 0.685767 | + | 2.06955i | ||||
\(841\) | 2719.36 | + | 15422.3i | 0.111500 | + | 0.632346i | ||||
\(842\) | 13075.8 | − | 8192.00i | 0.535179 | − | 0.335291i | ||||
\(843\) | −10619.4 | − | 16908.2i | −0.433869 | − | 0.690806i | ||||
\(844\) | −923.670 | − | 12777.8i | −0.0376707 | − | 0.521126i | ||||
\(845\) | 37688.3 | + | 21759.3i | 1.53434 | + | 0.885850i | ||||
\(846\) | −7515.61 | − | 15186.7i | −0.305428 | − | 0.617173i | ||||
\(847\) | −24223.0 | + | 13985.2i | −0.982660 | + | 0.567339i | ||||
\(848\) | −3418.53 | − | 3049.11i | −0.138435 | − | 0.123475i | ||||
\(849\) | 22996.3 | + | 17881.9i | 0.929599 | + | 0.722857i | ||||
\(850\) | −26286.1 | + | 948.834i | −1.06071 | + | 0.0382879i | ||||
\(851\) | 36787.7 | − | 30868.6i | 1.48187 | − | 1.24343i | ||||
\(852\) | −4549.95 | − | 2000.52i | −0.182956 | − | 0.0804421i | ||||
\(853\) | 11171.9 | − | 4066.24i | 0.448439 | − | 0.163219i | −0.107921 | − | 0.994159i | \(-0.534419\pi\) |
0.556361 | + | 0.830941i | \(0.312197\pi\) | |||||||
\(854\) | −3920.36 | + | 28134.5i | −0.157087 | + | 1.12733i | ||||
\(855\) | 12852.2 | − | 26660.4i | 0.514076 | − | 1.06640i | ||||
\(856\) | −4939.46 | + | 3615.38i | −0.197228 | + | 0.144359i | ||||
\(857\) | −19557.8 | − | 3448.56i | −0.779557 | − | 0.137457i | −0.230311 | − | 0.973117i | \(-0.573974\pi\) |
−0.549247 | + | 0.835660i | \(0.685085\pi\) | |||||||
\(858\) | 903.735 | − | 8894.99i | 0.0359592 | − | 0.353928i | ||||
\(859\) | −6441.09 | + | 17696.7i | −0.255841 | + | 0.702916i | 0.743572 | + | 0.668656i | \(0.233130\pi\) |
−0.999413 | + | 0.0342608i | \(0.989092\pi\) | |||||||
\(860\) | 53180.8 | − | 23827.4i | 2.10866 | − | 0.944777i | ||||
\(861\) | −4752.78 | − | 5254.22i | −0.188123 | − | 0.207971i | ||||
\(862\) | −40678.9 | + | 8696.50i | −1.60734 | + | 0.343624i | ||||
\(863\) | −30655.9 | −1.20920 | −0.604600 | − | 0.796529i | \(-0.706667\pi\) | ||||
−0.604600 | + | 0.796529i | \(0.706667\pi\) | |||||||
\(864\) | −2976.40 | − | 25221.3i | −0.117198 | − | 0.993109i | ||||
\(865\) | −52204.9 | −2.05205 | ||||||||
\(866\) | 16873.3 | − | 3607.24i | 0.662100 | − | 0.141546i | ||||
\(867\) | 6068.26 | − | 18822.9i | 0.237703 | − | 0.737323i | ||||
\(868\) | −2298.29 | + | 1029.74i | −0.0898720 | + | 0.0402668i | ||||
\(869\) | 583.136 | − | 1602.15i | 0.0227636 | − | 0.0625424i | ||||
\(870\) | 22398.5 | + | 16155.1i | 0.872850 | + | 0.629551i | ||||
\(871\) | −31052.3 | − | 5475.36i | −1.20800 | − | 0.213003i | ||||
\(872\) | 27642.4 | − | 20232.5i | 1.07350 | − | 0.785734i | ||||
\(873\) | 669.712 | − | 652.694i | 0.0259637 | − | 0.0253039i | ||||
\(874\) | 2984.42 | − | 21417.7i | 0.115503 | − | 0.828905i | ||||
\(875\) | 65546.9 | − | 23857.1i | 2.53245 | − | 0.921735i | ||||
\(876\) | −5122.72 | − | 46655.6i | −0.197581 | − | 1.79948i | ||||
\(877\) | −6433.33 | + | 5398.20i | −0.247706 | + | 0.207850i | −0.758184 | − | 0.652041i | \(-0.773913\pi\) |
0.510478 | + | 0.859891i | \(0.329469\pi\) | |||||||
\(878\) | 1896.54 | − | 68.4582i | 0.0728987 | − | 0.00263138i | ||||
\(879\) | 5643.53 | − | 2295.20i | 0.216555 | − | 0.0880718i | ||||
\(880\) | −8849.43 | − | 7893.13i | −0.338994 | − | 0.302360i | ||||
\(881\) | −11506.2 | + | 6643.09i | −0.440014 | + | 0.254042i | −0.703604 | − | 0.710593i | \(-0.748427\pi\) |
0.263589 | + | 0.964635i | \(0.415094\pi\) | |||||||
\(882\) | −11785.2 | + | 3452.94i | −0.449920 | + | 0.131821i | ||||
\(883\) | −14460.5 | − | 8348.75i | −0.551114 | − | 0.318186i | 0.198457 | − | 0.980110i | \(-0.436407\pi\) |
−0.749571 | + | 0.661924i | \(0.769740\pi\) | |||||||
\(884\) | −1267.24 | − | 17530.7i | −0.0482150 | − | 0.666994i | ||||
\(885\) | −36167.8 | + | 68399.6i | −1.37375 | + | 2.59800i | ||||
\(886\) | −16946.7 | + | 10617.1i | −0.642589 | + | 0.402584i | ||||
\(887\) | 6859.34 | + | 38901.3i | 0.259655 | + | 1.47258i | 0.783834 | + | 0.620970i | \(0.213261\pi\) |
−0.524179 | + | 0.851608i | \(0.675628\pi\) | |||||||
\(888\) | 39419.2 | + | 8139.53i | 1.48966 | + | 0.307595i | ||||
\(889\) | 34385.0 | + | 28852.5i | 1.29723 | + | 1.08850i | ||||
\(890\) | 24462.7 | − | 31386.8i | 0.921340 | − | 1.18212i | ||||
\(891\) | −2458.56 | + | 6249.55i | −0.0924410 | + | 0.234981i | ||||
\(892\) | −38209.3 | + | 9622.01i | −1.43424 | + | 0.361176i | ||||
\(893\) | 7773.23 | − | 9263.77i | 0.291289 | − | 0.347145i | ||||
\(894\) | 35912.4 | + | 17361.8i | 1.34350 | + | 0.649513i | ||||
\(895\) | −62.2285 | + | 10.9726i | −0.00232410 | + | 0.000409801i | ||||
\(896\) | −8702.45 | + | 31318.3i | −0.324474 | + | 1.16771i | ||||
\(897\) | −42551.7 | − | 22500.2i | −1.58390 | − | 0.837524i | ||||
\(898\) | −5539.28 | + | 4999.38i | −0.205844 | + | 0.185781i | ||||
\(899\) | −655.169 | + | 1134.79i | −0.0243060 | + | 0.0420993i | ||||
\(900\) | −59727.7 | + | 8816.89i | −2.21214 | + | 0.326552i | ||||
\(901\) | 1190.66 | + | 2062.29i | 0.0440253 | + | 0.0762540i | ||||
\(902\) | 1505.92 | + | 487.349i | 0.0555895 | + | 0.0179900i | ||||
\(903\) | 15913.7 | + | 39129.2i | 0.586461 | + | 1.44201i | ||||
\(904\) | 6258.61 | + | 21539.7i | 0.230263 | + | 0.792478i | ||||
\(905\) | 32648.5 | + | 38908.9i | 1.19920 | + | 1.42915i | ||||
\(906\) | 16643.2 | + | 17115.4i | 0.610303 | + | 0.627618i | ||||
\(907\) | 869.628 | + | 2389.28i | 0.0318363 | + | 0.0874695i | 0.954592 | − | 0.297915i | \(-0.0962911\pi\) |
−0.922756 | + | 0.385384i | \(0.874069\pi\) | |||||||
\(908\) | −5130.30 | + | 4977.61i | −0.187506 | + | 0.181925i | ||||
\(909\) | −9272.48 | + | 2357.10i | −0.338337 | + | 0.0860067i | ||||
\(910\) | 31678.3 | + | 78142.2i | 1.15398 | + | 2.84658i | ||||
\(911\) | 4441.67 | − | 25190.0i | 0.161536 | − | 0.916116i | −0.791029 | − | 0.611779i | \(-0.790454\pi\) |
0.952565 | − | 0.304336i | \(-0.0984347\pi\) | |||||||
\(912\) | 15632.8 | − | 9171.88i | 0.567603 | − | 0.333017i | ||||
\(913\) | 3269.07 | + | 1189.84i | 0.118500 | + | 0.0431305i | ||||
\(914\) | −10955.3 | − | 5808.57i | −0.396467 | − | 0.210208i | ||||
\(915\) | −44505.5 | − | 14348.0i | −1.60798 | − | 0.518393i | ||||
\(916\) | 2750.75 | − | 5673.64i | 0.0992218 | − | 0.204653i | ||||
\(917\) | 24139.4i | 0.869304i | ||||||||
\(918\) | −2640.86 | + | 12935.5i | −0.0949469 | + | 0.465073i | ||||
\(919\) | 22420.1i | 0.804755i | 0.915474 | + | 0.402378i | \(0.131816\pi\) | ||||
−0.915474 | + | 0.402378i | \(0.868184\pi\) | |||||||
\(920\) | −57280.1 | + | 28187.6i | −2.05268 | + | 1.01013i | ||||
\(921\) | 30767.3 | − | 27831.0i | 1.10078 | − | 0.995723i | ||||
\(922\) | 8317.55 | − | 15687.4i | 0.297097 | − | 0.560345i | ||||
\(923\) | −7419.59 | − | 2700.51i | −0.264592 | − | 0.0963038i | ||||
\(924\) | 5942.20 | − | 6210.75i | 0.211563 | − | 0.221124i | ||||
\(925\) | 16616.2 | − | 94235.0i | 0.590634 | − | 3.34965i | ||||
\(926\) | 22494.5 | − | 9119.10i | 0.798288 | − | 0.323620i | ||||
\(927\) | 2388.00 | + | 32038.2i | 0.0846085 | + | 1.13514i | ||||
\(928\) | 5877.54 | + | 15858.1i | 0.207909 | + | 0.560957i | ||||
\(929\) | −5458.21 | − | 14996.3i | −0.192764 | − | 0.529616i | 0.805227 | − | 0.592967i | \(-0.202043\pi\) |
−0.997991 | + | 0.0633511i | \(0.979821\pi\) | |||||||
\(930\) | −1016.88 | − | 4019.07i | −0.0358546 | − | 0.141710i | ||||
\(931\) | −5633.67 | − | 6713.94i | −0.198320 | − | 0.236349i | ||||
\(932\) | 8675.28 | − | 11999.6i | 0.304901 | − | 0.421740i | ||||
\(933\) | −28252.6 | + | 36333.1i | −0.991371 | + | 1.27491i | ||||
\(934\) | −13238.7 | + | 40908.0i | −0.463795 | + | 1.43314i | ||||
\(935\) | 3082.23 | + | 5338.58i | 0.107807 | + | 0.186728i | ||||
\(936\) | −7327.56 | − | 39673.1i | −0.255886 | − | 1.38542i | ||||
\(937\) | −6491.86 | + | 11244.2i | −0.226339 | + | 0.392031i | −0.956720 | − | 0.291009i | \(-0.906009\pi\) |
0.730381 | + | 0.683040i | \(0.239342\pi\) | |||||||
\(938\) | −20310.3 | − | 22503.7i | −0.706988 | − | 0.783338i | ||||
\(939\) | −9384.04 | + | 5893.76i | −0.326131 | + | 0.204830i | ||||
\(940\) | −35514.0 | − | 3648.37i | −1.23228 | − | 0.126592i | ||||
\(941\) | 7207.36 | − | 1270.85i | 0.249685 | − | 0.0440261i | −0.0474050 | − | 0.998876i | \(-0.515095\pi\) |
0.297090 | + | 0.954850i | \(0.403984\pi\) | |||||||
\(942\) | 5995.48 | − | 440.136i | 0.207371 | − | 0.0152234i | ||||
\(943\) | 5477.43 | − | 6527.75i | 0.189151 | − | 0.225422i | ||||
\(944\) | −41731.7 | + | 22441.2i | −1.43883 | + | 0.773727i | ||||
\(945\) | −7053.39 | − | 62941.3i | −0.242801 | − | 2.16665i | ||||
\(946\) | −7443.31 | − | 5801.29i | −0.255817 | − | 0.199383i | ||||
\(947\) | 9564.37 | + | 8025.46i | 0.328195 | + | 0.275388i | 0.791964 | − | 0.610568i | \(-0.209059\pi\) |
−0.463769 | + | 0.885956i | \(0.653503\pi\) | |||||||
\(948\) | 501.046 | − | 7677.14i | 0.0171659 | − | 0.263019i | ||||
\(949\) | −12947.5 | − | 73428.8i | −0.442880 | − | 2.51170i | ||||
\(950\) | −22876.2 | − | 36514.1i | −0.781265 | − | 1.24703i | ||||
\(951\) | 8458.74 | − | 314.803i | 0.288426 | − | 0.0107342i | ||||
\(952\) | 9399.71 | − | 14042.1i | 0.320007 | − | 0.478053i | ||||
\(953\) | −25002.9 | − | 14435.4i | −0.849865 | − | 0.490670i | 0.0107400 | − | 0.999942i | \(-0.496581\pi\) |
−0.860605 | + | 0.509272i | \(0.829915\pi\) | |||||||
\(954\) | 3238.23 | + | 4403.48i | 0.109897 | + | 0.149442i | ||||
\(955\) | 79653.0 | − | 45987.7i | 2.69896 | − | 1.55825i | ||||
\(956\) | −8583.14 | − | 12660.8i | −0.290375 | − | 0.428326i | ||||
\(957\) | 612.263 | − | 4430.15i | 0.0206809 | − | 0.149641i | ||||
\(958\) | −1099.16 | − | 30450.7i | −0.0370691 | − | 1.02695i | ||||
\(959\) | −25423.2 | + | 21332.6i | −0.856057 | + | 0.718317i | ||||
\(960\) | −48309.6 | − | 23006.3i | −1.62415 | − | 0.773463i | ||||
\(961\) | −27809.5 | + | 10121.8i | −0.933488 | + | 0.339762i | ||||
\(962\) | 63329.7 | + | 8824.60i | 2.12249 | + | 0.295755i | ||||
\(963\) | 6658.92 | − | 3001.40i | 0.222825 | − | 0.100435i | ||||
\(964\) | 4894.15 | + | 1390.95i | 0.163517 | + | 0.0464724i | ||||
\(965\) | −83760.0 | − | 14769.2i | −2.79412 | − | 0.492680i | ||||
\(966\) | −18968.4 | − | 42209.3i | −0.631779 | − | 1.40586i | ||||
\(967\) | 19081.1 | − | 52424.8i | 0.634546 | − | 1.74340i | −0.0336709 | − | 0.999433i | \(-0.510720\pi\) |
0.668217 | − | 0.743967i | \(-0.267058\pi\) | |||||||
\(968\) | 6725.01 | − | 27383.1i | 0.223295 | − | 0.909221i | ||||
\(969\) | −9211.83 | + | 1980.12i | −0.305394 | + | 0.0656456i | ||||
\(970\) | −411.912 | − | 1926.77i | −0.0136347 | − | 0.0637781i | ||||
\(971\) | 10056.4 | 0.332365 | 0.166183 | − | 0.986095i | \(-0.446856\pi\) | ||||
0.166183 | + | 0.986095i | \(0.446856\pi\) | |||||||
\(972\) | −2751.10 | + | 30178.8i | −0.0907834 | + | 0.995871i | ||||
\(973\) | 20256.4 | 0.667410 | ||||||||
\(974\) | −6336.67 | − | 29640.5i | −0.208460 | − | 0.975096i | ||||
\(975\) | −93768.6 | + | 20155.9i | −3.08000 | + | 0.662058i | ||||
\(976\) | −17736.0 | − | 22482.6i | −0.581677 | − | 0.737348i | ||||
\(977\) | 16517.6 | − | 45381.6i | 0.540884 | − | 1.48607i | −0.304818 | − | 0.952411i | \(-0.598596\pi\) |
0.845702 | − | 0.533656i | \(-0.179182\pi\) | |||||||
\(978\) | 8536.87 | + | 18996.6i | 0.279120 | + | 0.621109i | ||||
\(979\) | −6346.35 | − | 1119.03i | −0.207181 | − | 0.0365316i | ||||
\(980\) | −7073.50 | + | 24888.7i | −0.230566 | + | 0.811265i | ||||
\(981\) | −37264.9 | + | 16796.6i | −1.21282 | + | 0.546660i | ||||
\(982\) | −32343.5 | − | 4506.86i | −1.05104 | − | 0.146456i | ||||
\(983\) | −45328.8 | + | 16498.3i | −1.47077 | + | 0.535315i | −0.948309 | − | 0.317349i | \(-0.897207\pi\) |
−0.522458 | + | 0.852665i | \(0.674985\pi\) | |||||||
\(984\) | 7139.23 | + | 207.750i | 0.231291 | + | 0.00673052i | ||||
\(985\) | 38403.4 | − | 32224.2i | 1.24227 | − | 1.04239i | ||||
\(986\) | −317.150 | − | 8786.19i | −0.0102435 | − | 0.283782i | ||||
\(987\) | 3542.82 | − | 25634.8i | 0.114255 | − | 0.826711i | ||||
\(988\) | 23832.4 | − | 16156.7i | 0.767417 | − | 0.520256i | ||||
\(989\) | −43999.3 | + | 25403.0i | −1.41466 | + | 0.816753i | ||||
\(990\) | 8382.69 | + | 11399.1i | 0.269111 | + | 0.365948i | ||||
\(991\) | 10677.7 | + | 6164.77i | 0.342268 | + | 0.197609i | 0.661275 | − | 0.750144i | \(-0.270016\pi\) |
−0.319006 | + | 0.947753i | \(0.603349\pi\) | |||||||
\(992\) | 854.306 | − | 2390.76i | 0.0273430 | − | 0.0765190i | ||||
\(993\) | −22794.9 | + | 848.343i | −0.728474 | + | 0.0271111i | ||||
\(994\) | −4030.10 | − | 6432.69i | −0.128599 | − | 0.205264i | ||||
\(995\) | 15.3602 | + | 87.1120i | 0.000489398 | + | 0.00277551i | ||||
\(996\) | 15664.6 | + | 1022.35i | 0.498346 | + | 0.0325244i | ||||
\(997\) | 1632.45 | + | 1369.79i | 0.0518557 | + | 0.0435121i | 0.668347 | − | 0.743849i | \(-0.267002\pi\) |
−0.616491 | + | 0.787362i | \(0.711447\pi\) | |||||||
\(998\) | 5662.77 | + | 4413.54i | 0.179611 | + | 0.139988i | ||||
\(999\) | −44010.0 | − | 19232.9i | −1.39381 | − | 0.609111i |
(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 | 108.4.l.a.11.3 | ✓ | 312 | |
4.3 | odd | 2 | inner | 108.4.l.a.11.26 | yes | 312 | |
27.5 | odd | 18 | inner | 108.4.l.a.59.26 | yes | 312 | |
108.59 | even | 18 | inner | 108.4.l.a.59.3 | yes | 312 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.4.l.a.11.3 | ✓ | 312 | 1.1 | even | 1 | trivial | |
108.4.l.a.11.26 | yes | 312 | 4.3 | odd | 2 | inner | |
108.4.l.a.59.3 | yes | 312 | 108.59 | even | 18 | inner | |
108.4.l.a.59.26 | yes | 312 | 27.5 | odd | 18 | inner |