Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,3,Mod(7,108)]
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, 16]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.j (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: | \(2.94278685509\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 7.22 | ||
Character | \(\chi\) | \(=\) | 108.7 |
Dual form | 108.3.j.a.31.22 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.518880 | − | 1.93152i | 0.259440 | − | 0.965759i | ||||
\(3\) | −0.835872 | + | 2.88120i | −0.278624 | + | 0.960400i | ||||
\(4\) | −3.46153 | − | 2.00445i | −0.865382 | − | 0.501114i | ||||
\(5\) | 1.09499 | + | 6.21002i | 0.218999 | + | 1.24200i | 0.873831 | + | 0.486230i | \(0.161628\pi\) |
−0.654832 | + | 0.755774i | \(0.727261\pi\) | |||||||
\(6\) | 5.13137 | + | 3.10950i | 0.855229 | + | 0.518250i | ||||
\(7\) | −5.65814 | + | 6.74311i | −0.808306 | + | 0.963301i | −0.999835 | − | 0.0181856i | \(-0.994211\pi\) |
0.191529 | + | 0.981487i | \(0.438655\pi\) | |||||||
\(8\) | −5.66776 | + | 5.64593i | −0.708470 | + | 0.705741i | ||||
\(9\) | −7.60264 | − | 4.81663i | −0.844737 | − | 0.535181i | ||||
\(10\) | 12.5629 | + | 1.10726i | 1.25629 | + | 0.110726i | ||||
\(11\) | 3.98532 | + | 0.702720i | 0.362302 | + | 0.0638836i | 0.351836 | − | 0.936062i | \(-0.385557\pi\) |
0.0104659 | + | 0.999945i | \(0.496669\pi\) | |||||||
\(12\) | 8.66863 | − | 8.29788i | 0.722386 | − | 0.691490i | ||||
\(13\) | 11.3127 | + | 4.11749i | 0.870208 | + | 0.316730i | 0.738251 | − | 0.674526i | \(-0.235652\pi\) |
0.131956 | + | 0.991256i | \(0.457874\pi\) | |||||||
\(14\) | 10.0885 | + | 14.4277i | 0.720610 | + | 1.03055i | ||||
\(15\) | −18.8076 | − | 2.03588i | −1.25384 | − | 0.135726i | ||||
\(16\) | 7.96433 | + | 13.8769i | 0.497770 | + | 0.867309i | ||||
\(17\) | −7.63358 | − | 13.2217i | −0.449034 | − | 0.777750i | 0.549289 | − | 0.835632i | \(-0.314899\pi\) |
−0.998323 | + | 0.0578824i | \(0.981565\pi\) | |||||||
\(18\) | −13.2483 | + | 12.1854i | −0.736015 | + | 0.676965i | ||||
\(19\) | 20.6326 | + | 11.9123i | 1.08593 | + | 0.626961i | 0.932489 | − | 0.361198i | \(-0.117632\pi\) |
0.153438 | + | 0.988158i | \(0.450965\pi\) | |||||||
\(20\) | 8.65735 | − | 23.6910i | 0.432868 | − | 1.18455i | ||||
\(21\) | −14.6988 | − | 21.9386i | −0.699941 | − | 1.04470i | ||||
\(22\) | 3.42522 | − | 7.33310i | 0.155692 | − | 0.333323i | ||||
\(23\) | −11.4927 | − | 13.6965i | −0.499684 | − | 0.595501i | 0.455969 | − | 0.889996i | \(-0.349293\pi\) |
−0.955653 | + | 0.294495i | \(0.904848\pi\) | |||||||
\(24\) | −11.5295 | − | 21.0492i | −0.480397 | − | 0.877051i | ||||
\(25\) | −13.8730 | + | 5.04937i | −0.554921 | + | 0.201975i | ||||
\(26\) | 13.8229 | − | 19.7142i | 0.531652 | − | 0.758239i | ||||
\(27\) | 20.2325 | − | 17.8786i | 0.749352 | − | 0.662172i | ||||
\(28\) | 33.1021 | − | 12.0000i | 1.18222 | − | 0.428570i | ||||
\(29\) | −40.6859 | + | 14.8084i | −1.40296 | + | 0.510636i | −0.929056 | − | 0.369940i | \(-0.879378\pi\) |
−0.473905 | + | 0.880576i | \(0.657156\pi\) | |||||||
\(30\) | −13.6912 | + | 35.2708i | −0.456375 | + | 1.17569i | ||||
\(31\) | 31.8949 | + | 38.0109i | 1.02887 | + | 1.22616i | 0.973736 | + | 0.227678i | \(0.0731134\pi\) |
0.0551316 | + | 0.998479i | \(0.482442\pi\) | |||||||
\(32\) | 30.9361 | − | 8.18277i | 0.966753 | − | 0.255711i | ||||
\(33\) | −5.35590 | + | 10.8951i | −0.162300 | + | 0.330155i | ||||
\(34\) | −29.4990 | + | 7.88389i | −0.867617 | + | 0.231879i | ||||
\(35\) | −48.0705 | − | 27.7535i | −1.37344 | − | 0.792957i | ||||
\(36\) | 16.6620 | + | 31.9120i | 0.462833 | + | 0.886445i | ||||
\(37\) | −14.4238 | − | 24.9828i | −0.389833 | − | 0.675210i | 0.602594 | − | 0.798048i | \(-0.294134\pi\) |
−0.992427 | + | 0.122838i | \(0.960800\pi\) | |||||||
\(38\) | 33.7146 | − | 33.6713i | 0.887226 | − | 0.886086i | ||||
\(39\) | −21.3193 | + | 29.1525i | −0.546648 | + | 0.747499i | ||||
\(40\) | −41.2675 | − | 29.0146i | −1.03169 | − | 0.725366i | ||||
\(41\) | 40.7670 | + | 14.8380i | 0.994316 | + | 0.361902i | 0.787390 | − | 0.616455i | \(-0.211432\pi\) |
0.206926 | + | 0.978357i | \(0.433654\pi\) | |||||||
\(42\) | −50.0018 | + | 17.0074i | −1.19052 | + | 0.404939i | ||||
\(43\) | −19.2340 | − | 3.39148i | −0.447303 | − | 0.0788716i | −0.0545406 | − | 0.998512i | \(-0.517369\pi\) |
−0.392762 | + | 0.919640i | \(0.628481\pi\) | |||||||
\(44\) | −12.3867 | − | 10.4209i | −0.281517 | − | 0.236838i | ||||
\(45\) | 21.5865 | − | 52.4867i | 0.479701 | − | 1.16637i | ||||
\(46\) | −32.4184 | + | 15.0916i | −0.704748 | + | 0.328078i | ||||
\(47\) | 2.31031 | − | 2.75332i | 0.0491555 | − | 0.0585812i | −0.740907 | − | 0.671608i | \(-0.765604\pi\) |
0.790062 | + | 0.613027i | \(0.210048\pi\) | |||||||
\(48\) | −46.6394 | + | 11.3475i | −0.971654 | + | 0.236406i | ||||
\(49\) | −4.94621 | − | 28.0514i | −0.100943 | − | 0.572477i | ||||
\(50\) | 2.55450 | + | 29.4160i | 0.0510901 | + | 0.588320i | ||||
\(51\) | 44.4752 | − | 10.9422i | 0.872063 | − | 0.214553i | ||||
\(52\) | −30.9059 | − | 36.9286i | −0.594344 | − | 0.710165i | ||||
\(53\) | 81.1632 | 1.53138 | 0.765690 | − | 0.643209i | \(-0.222398\pi\) | ||||
0.765690 | + | 0.643209i | \(0.222398\pi\) | |||||||
\(54\) | −24.0346 | − | 48.3563i | −0.445086 | − | 0.895488i | ||||
\(55\) | 25.5184i | 0.463971i | ||||||||
\(56\) | −6.00214 | − | 70.1638i | −0.107181 | − | 1.25292i | ||||
\(57\) | −51.5678 | + | 49.4896i | −0.904699 | + | 0.868239i | ||||
\(58\) | 7.49168 | + | 86.2693i | 0.129167 | + | 1.48740i | ||||
\(59\) | −48.7001 | + | 8.58715i | −0.825426 | + | 0.145545i | −0.570377 | − | 0.821383i | \(-0.693203\pi\) |
−0.255049 | + | 0.966928i | \(0.582092\pi\) | |||||||
\(60\) | 61.0221 | + | 44.7462i | 1.01704 | + | 0.745770i | ||||
\(61\) | 79.8933 | + | 67.0384i | 1.30973 | + | 1.09899i | 0.988376 | + | 0.152030i | \(0.0485809\pi\) |
0.321350 | + | 0.946961i | \(0.395863\pi\) | |||||||
\(62\) | 89.9683 | − | 41.8825i | 1.45110 | − | 0.675524i | ||||
\(63\) | 75.4959 | − | 24.0122i | 1.19835 | − | 0.381147i | ||||
\(64\) | 0.246975 | − | 63.9995i | 0.00385898 | − | 0.999993i | ||||
\(65\) | −13.1823 | + | 74.7607i | −0.202805 | + | 1.15016i | ||||
\(66\) | 18.2651 | + | 15.9983i | 0.276744 | + | 0.242398i | ||||
\(67\) | 23.6170 | − | 64.8871i | 0.352492 | − | 0.968464i | −0.629075 | − | 0.777345i | \(-0.716566\pi\) |
0.981567 | − | 0.191119i | \(-0.0612116\pi\) | |||||||
\(68\) | −0.0785545 | + | 61.0686i | −0.00115521 | + | 0.898067i | ||||
\(69\) | 49.0689 | − | 21.6644i | 0.711143 | − | 0.313976i | ||||
\(70\) | −78.5492 | + | 78.4483i | −1.12213 | + | 1.12069i | ||||
\(71\) | 48.4794 | − | 27.9896i | 0.682808 | − | 0.394219i | −0.118104 | − | 0.993001i | \(-0.537682\pi\) |
0.800912 | + | 0.598782i | \(0.204348\pi\) | |||||||
\(72\) | 70.2843 | − | 15.6244i | 0.976170 | − | 0.217006i | ||||
\(73\) | 12.9295 | − | 22.3946i | 0.177117 | − | 0.306776i | −0.763775 | − | 0.645483i | \(-0.776656\pi\) |
0.940892 | + | 0.338707i | \(0.109990\pi\) | |||||||
\(74\) | −55.7389 | + | 14.8968i | −0.753229 | + | 0.201308i | ||||
\(75\) | −2.95217 | − | 44.1916i | −0.0393622 | − | 0.589221i | ||||
\(76\) | −47.5428 | − | 82.5917i | −0.625563 | − | 1.08673i | ||||
\(77\) | −27.2880 | + | 22.8974i | −0.354390 | + | 0.297369i | ||||
\(78\) | 45.2464 | + | 56.3052i | 0.580082 | + | 0.721862i | ||||
\(79\) | 28.9877 | + | 79.6430i | 0.366933 | + | 1.00814i | 0.976521 | + | 0.215421i | \(0.0691125\pi\) |
−0.609589 | + | 0.792718i | \(0.708665\pi\) | |||||||
\(80\) | −77.4552 | + | 64.6538i | −0.968190 | + | 0.808172i | ||||
\(81\) | 34.6001 | + | 73.2382i | 0.427162 | + | 0.904175i | ||||
\(82\) | 49.8130 | − | 71.0430i | 0.607476 | − | 0.866378i | ||||
\(83\) | −21.4076 | − | 58.8168i | −0.257922 | − | 0.708636i | −0.999295 | − | 0.0375425i | \(-0.988047\pi\) |
0.741373 | − | 0.671094i | \(-0.234175\pi\) | |||||||
\(84\) | 6.90522 | + | 105.404i | 0.0822050 | + | 1.25481i | ||||
\(85\) | 73.7486 | − | 61.8824i | 0.867631 | − | 0.728028i | ||||
\(86\) | −16.5309 | + | 35.3911i | −0.192219 | + | 0.411524i | ||||
\(87\) | −8.65792 | − | 129.602i | −0.0995163 | − | 1.48968i | ||||
\(88\) | −26.5554 | + | 18.5180i | −0.301765 | + | 0.210432i | ||||
\(89\) | −11.6524 | + | 20.1826i | −0.130926 | + | 0.226771i | −0.924034 | − | 0.382311i | \(-0.875128\pi\) |
0.793108 | + | 0.609081i | \(0.208462\pi\) | |||||||
\(90\) | −90.1782 | − | 68.9291i | −1.00198 | − | 0.765879i | ||||
\(91\) | −91.7735 | + | 52.9855i | −1.00850 | + | 0.582258i | ||||
\(92\) | 12.3284 | + | 70.4475i | 0.134004 | + | 0.765734i | ||||
\(93\) | −136.177 | + | 60.1234i | −1.46427 | + | 0.646488i | ||||
\(94\) | −4.11931 | − | 5.89104i | −0.0438224 | − | 0.0626706i | ||||
\(95\) | −51.3827 | + | 141.173i | −0.540871 | + | 1.48603i | ||||
\(96\) | −2.28243 | + | 95.9729i | −0.0237753 | + | 0.999717i | ||||
\(97\) | −16.4127 | + | 93.0811i | −0.169203 | + | 0.959599i | 0.775421 | + | 0.631445i | \(0.217538\pi\) |
−0.944624 | + | 0.328154i | \(0.893573\pi\) | |||||||
\(98\) | −56.7482 | − | 5.00160i | −0.579063 | − | 0.0510368i | ||||
\(99\) | −26.9142 | − | 24.5383i | −0.271861 | − | 0.247862i | ||||
\(100\) | 58.1430 | + | 10.3293i | 0.581430 | + | 0.103293i | ||||
\(101\) | −103.010 | − | 86.4360i | −1.01990 | − | 0.855802i | −0.0302891 | − | 0.999541i | \(-0.509643\pi\) |
−0.989616 | + | 0.143740i | \(0.954087\pi\) | |||||||
\(102\) | 1.94229 | − | 91.5824i | 0.0190420 | − | 0.897866i | ||||
\(103\) | −63.9321 | + | 11.2730i | −0.620700 | + | 0.109446i | −0.475150 | − | 0.879905i | \(-0.657606\pi\) |
−0.145550 | + | 0.989351i | \(0.546495\pi\) | |||||||
\(104\) | −87.3647 | + | 40.5338i | −0.840045 | + | 0.389748i | ||||
\(105\) | 120.144 | − | 115.302i | 1.14423 | − | 1.09812i | ||||
\(106\) | 42.1140 | − | 156.768i | 0.397302 | − | 1.47894i | ||||
\(107\) | 53.0300i | 0.495608i | 0.968810 | + | 0.247804i | \(0.0797089\pi\) | ||||
−0.968810 | + | 0.247804i | \(0.920291\pi\) | |||||||
\(108\) | −105.872 | + | 21.3322i | −0.980299 | + | 0.197520i | ||||
\(109\) | 193.535 | 1.77555 | 0.887773 | − | 0.460281i | \(-0.152251\pi\) | ||||
0.887773 | + | 0.460281i | \(0.152251\pi\) | |||||||
\(110\) | 49.2893 | + | 13.2410i | 0.448084 | + | 0.120373i | ||||
\(111\) | 84.0368 | − | 20.6755i | 0.757089 | − | 0.186266i | ||||
\(112\) | −138.637 | − | 24.8134i | −1.23783 | − | 0.221548i | ||||
\(113\) | −13.0720 | − | 74.1349i | −0.115681 | − | 0.656061i | −0.986411 | − | 0.164299i | \(-0.947464\pi\) |
0.870729 | − | 0.491762i | \(-0.163647\pi\) | |||||||
\(114\) | 68.8326 | + | 125.283i | 0.603794 | + | 1.09898i | ||||
\(115\) | 72.4711 | − | 86.3677i | 0.630184 | − | 0.751024i | ||||
\(116\) | 170.518 | + | 30.2931i | 1.46998 | + | 0.261148i | ||||
\(117\) | −66.1739 | − | 85.7929i | −0.565589 | − | 0.733272i | ||||
\(118\) | −8.68332 | + | 98.5209i | −0.0735874 | + | 0.834923i | ||||
\(119\) | 132.348 | + | 23.3364i | 1.11216 | + | 0.196105i | ||||
\(120\) | 118.091 | − | 94.6474i | 0.984094 | − | 0.788728i | ||||
\(121\) | −98.3138 | − | 35.7833i | −0.812511 | − | 0.295730i | ||||
\(122\) | 170.941 | − | 119.530i | 1.40116 | − | 0.979757i | ||||
\(123\) | −76.8271 | + | 105.055i | −0.624611 | + | 0.854107i | ||||
\(124\) | −34.2140 | − | 195.508i | −0.275919 | − | 1.57667i | ||||
\(125\) | 32.2752 | + | 55.9023i | 0.258202 | + | 0.447218i | ||||
\(126\) | −7.20674 | − | 158.281i | −0.0571963 | − | 1.25620i | ||||
\(127\) | −27.2780 | − | 15.7489i | −0.214787 | − | 0.124007i | 0.388747 | − | 0.921345i | \(-0.372908\pi\) |
−0.603534 | + | 0.797337i | \(0.706241\pi\) | |||||||
\(128\) | −123.488 | − | 33.6851i | −0.964751 | − | 0.263165i | ||||
\(129\) | 25.8487 | − | 52.5823i | 0.200378 | − | 0.407614i | ||||
\(130\) | 137.562 | + | 64.2538i | 1.05817 | + | 0.494260i | ||||
\(131\) | −52.0385 | − | 62.0171i | −0.397240 | − | 0.473413i | 0.529936 | − | 0.848038i | \(-0.322216\pi\) |
−0.927176 | + | 0.374625i | \(0.877771\pi\) | |||||||
\(132\) | 40.3784 | − | 26.9781i | 0.305897 | − | 0.204380i | ||||
\(133\) | −197.068 | + | 71.7269i | −1.48171 | + | 0.539300i | ||||
\(134\) | −113.076 | − | 79.2852i | −0.843852 | − | 0.591681i | ||||
\(135\) | 133.181 | + | 106.067i | 0.986527 | + | 0.785684i | ||||
\(136\) | 117.914 | + | 31.8390i | 0.867017 | + | 0.234111i | ||||
\(137\) | −95.7424 | + | 34.8474i | −0.698850 | + | 0.254360i | −0.666920 | − | 0.745130i | \(-0.732388\pi\) |
−0.0319300 | + | 0.999490i | \(0.510165\pi\) | |||||||
\(138\) | −16.3842 | − | 106.019i | −0.118726 | − | 0.768251i | ||||
\(139\) | −141.211 | − | 168.289i | −1.01591 | − | 1.21071i | −0.977389 | − | 0.211451i | \(-0.932181\pi\) |
−0.0385168 | − | 0.999258i | \(-0.512263\pi\) | |||||||
\(140\) | 110.767 | + | 192.425i | 0.791190 | + | 1.37446i | ||||
\(141\) | 6.00173 | + | 8.95788i | 0.0425655 | + | 0.0635310i | ||||
\(142\) | −28.9074 | − | 108.162i | −0.203573 | − | 0.761704i | ||||
\(143\) | 42.1913 | + | 24.3592i | 0.295044 | + | 0.170344i | ||||
\(144\) | 6.29024 | − | 143.863i | 0.0436822 | − | 0.999045i | ||||
\(145\) | −136.512 | − | 236.445i | −0.941459 | − | 1.63065i | ||||
\(146\) | −36.5467 | − | 36.5938i | −0.250320 | − | 0.250642i | ||||
\(147\) | 84.9560 | + | 9.19632i | 0.577932 | + | 0.0625600i | ||||
\(148\) | −0.148430 | + | 115.390i | −0.00100291 | + | 0.779665i | ||||
\(149\) | −109.046 | − | 39.6894i | −0.731850 | − | 0.266372i | −0.0509025 | − | 0.998704i | \(-0.516210\pi\) |
−0.680948 | + | 0.732332i | \(0.738432\pi\) | |||||||
\(150\) | −86.8887 | − | 17.2280i | −0.579258 | − | 0.114853i | ||||
\(151\) | 113.127 | + | 19.9473i | 0.749183 | + | 0.132101i | 0.535188 | − | 0.844733i | \(-0.320241\pi\) |
0.213996 | + | 0.976835i | \(0.431352\pi\) | |||||||
\(152\) | −184.196 | + | 48.9746i | −1.21182 | + | 0.322201i | ||||
\(153\) | −5.64896 | + | 137.288i | −0.0369213 | + | 0.897309i | ||||
\(154\) | 30.0675 | + | 64.5883i | 0.195243 | + | 0.419405i | ||||
\(155\) | −201.124 | + | 239.690i | −1.29757 | + | 1.54639i | ||||
\(156\) | 132.232 | − | 58.1785i | 0.847641 | − | 0.372939i | ||||
\(157\) | −3.14219 | − | 17.8203i | −0.0200140 | − | 0.113505i | 0.973164 | − | 0.230112i | \(-0.0739093\pi\) |
−0.993178 | + | 0.116607i | \(0.962798\pi\) | |||||||
\(158\) | 168.873 | − | 14.6650i | 1.06882 | − | 0.0928167i | ||||
\(159\) | −67.8420 | + | 233.847i | −0.426679 | + | 1.47074i | ||||
\(160\) | 84.6900 | + | 183.154i | 0.529312 | + | 1.14471i | ||||
\(161\) | 157.385 | 0.977544 | ||||||||
\(162\) | 159.414 | − | 28.8289i | 0.984038 | − | 0.177956i | ||||
\(163\) | 111.870i | 0.686322i | 0.939277 | + | 0.343161i | \(0.111498\pi\) | ||||
−0.939277 | + | 0.343161i | \(0.888502\pi\) | |||||||
\(164\) | −111.374 | − | 133.078i | −0.679109 | − | 0.811448i | ||||
\(165\) | −73.5236 | − | 21.3301i | −0.445598 | − | 0.129273i | ||||
\(166\) | −124.714 | + | 10.8302i | −0.751287 | + | 0.0652423i | ||||
\(167\) | −58.4844 | + | 10.3124i | −0.350206 | + | 0.0617508i | −0.345984 | − | 0.938240i | \(-0.612455\pi\) |
−0.00422188 | + | 0.999991i | \(0.501344\pi\) | |||||||
\(168\) | 207.173 | + | 41.3546i | 1.23317 | + | 0.246158i | ||||
\(169\) | −18.4380 | − | 15.4713i | −0.109101 | − | 0.0915463i | ||||
\(170\) | −81.2603 | − | 174.556i | −0.478002 | − | 1.02680i | ||||
\(171\) | −99.4854 | − | 189.944i | −0.581786 | − | 1.11079i | ||||
\(172\) | 59.7810 | + | 50.2934i | 0.347564 | + | 0.292404i | ||||
\(173\) | −15.8732 | + | 90.0212i | −0.0917524 | + | 0.520354i | 0.903942 | + | 0.427656i | \(0.140660\pi\) |
−0.995694 | + | 0.0926984i | \(0.970451\pi\) | |||||||
\(174\) | −254.821 | − | 50.5251i | −1.46449 | − | 0.290374i | ||||
\(175\) | 44.4471 | − | 122.117i | 0.253983 | − | 0.697813i | ||||
\(176\) | 21.9888 | + | 60.9008i | 0.124936 | + | 0.346027i | ||||
\(177\) | 15.9658 | − | 147.493i | 0.0902022 | − | 0.833292i | ||||
\(178\) | 32.9368 | + | 32.9792i | 0.185038 | + | 0.185277i | ||||
\(179\) | 272.538 | − | 157.350i | 1.52256 | − | 0.879050i | 0.522915 | − | 0.852385i | \(-0.324845\pi\) |
0.999644 | − | 0.0266652i | \(-0.00848882\pi\) | |||||||
\(180\) | −179.930 | + | 138.415i | −0.999609 | + | 0.768971i | ||||
\(181\) | −102.558 | + | 177.636i | −0.566621 | + | 0.981416i | 0.430276 | + | 0.902697i | \(0.358416\pi\) |
−0.996897 | + | 0.0787186i | \(0.974917\pi\) | |||||||
\(182\) | 54.7229 | + | 204.755i | 0.300675 | + | 1.12503i | ||||
\(183\) | −259.932 | + | 174.153i | −1.42039 | + | 0.951656i | ||||
\(184\) | 142.468 | + | 12.7413i | 0.774280 | + | 0.0692464i | ||||
\(185\) | 139.350 | − | 116.928i | 0.753241 | − | 0.632044i | ||||
\(186\) | 45.4699 | + | 294.225i | 0.244462 | + | 1.58186i | ||||
\(187\) | −21.1311 | − | 58.0572i | −0.113000 | − | 0.310466i | ||||
\(188\) | −13.5161 | + | 4.89977i | −0.0718940 | + | 0.0260626i | ||||
\(189\) | 6.07917 | + | 237.590i | 0.0321649 | + | 1.25709i | ||||
\(190\) | 246.016 | + | 172.499i | 1.29482 | + | 0.907887i | ||||
\(191\) | 10.6521 | + | 29.2664i | 0.0557702 | + | 0.153227i | 0.964449 | − | 0.264268i | \(-0.0851303\pi\) |
−0.908679 | + | 0.417495i | \(0.862908\pi\) | |||||||
\(192\) | 184.189 | + | 54.2070i | 0.959318 | + | 0.282328i | ||||
\(193\) | 148.161 | − | 124.322i | 0.767673 | − | 0.644154i | −0.172439 | − | 0.985020i | \(-0.555165\pi\) |
0.940112 | + | 0.340866i | \(0.110720\pi\) | |||||||
\(194\) | 171.272 | + | 79.9994i | 0.882843 | + | 0.412368i | ||||
\(195\) | −204.382 | − | 100.471i | −1.04811 | − | 0.515238i | ||||
\(196\) | −39.1062 | + | 107.015i | −0.199522 | + | 0.545995i | ||||
\(197\) | 133.002 | − | 230.367i | 0.675139 | − | 1.16938i | −0.301289 | − | 0.953533i | \(-0.597417\pi\) |
0.976428 | − | 0.215842i | \(-0.0692497\pi\) | |||||||
\(198\) | −61.3615 | + | 39.2528i | −0.309907 | + | 0.198247i | ||||
\(199\) | 25.7924 | − | 14.8913i | 0.129610 | − | 0.0748305i | −0.433793 | − | 0.901013i | \(-0.642825\pi\) |
0.563403 | + | 0.826182i | \(0.309492\pi\) | |||||||
\(200\) | 50.1206 | − | 106.945i | 0.250603 | − | 0.534723i | ||||
\(201\) | 167.212 | + | 122.282i | 0.831900 | + | 0.608371i | ||||
\(202\) | −220.403 | + | 154.116i | −1.09110 | + | 0.762953i | ||||
\(203\) | 130.351 | − | 358.138i | 0.642125 | − | 1.76422i | ||||
\(204\) | −175.885 | − | 51.2719i | −0.862182 | − | 0.251333i | ||||
\(205\) | −47.5045 | + | 269.411i | −0.231729 | + | 1.31420i | ||||
\(206\) | −11.3992 | + | 129.335i | −0.0553359 | + | 0.627842i | ||||
\(207\) | 21.4041 | + | 159.486i | 0.103401 | + | 0.770463i | ||||
\(208\) | 32.9599 | + | 189.779i | 0.158461 | + | 0.912398i | ||||
\(209\) | 73.8567 | + | 61.9731i | 0.353381 | + | 0.296522i | ||||
\(210\) | −160.368 | − | 291.889i | −0.763657 | − | 1.38995i | ||||
\(211\) | −110.858 | + | 19.5472i | −0.525393 | + | 0.0926409i | −0.430053 | − | 0.902804i | \(-0.641505\pi\) |
−0.0953402 | + | 0.995445i | \(0.530394\pi\) | |||||||
\(212\) | −280.948 | − | 162.688i | −1.32523 | − | 0.767396i | ||||
\(213\) | 40.1210 | + | 163.074i | 0.188362 | + | 0.765608i | ||||
\(214\) | 102.428 | + | 27.5162i | 0.478638 | + | 0.128581i | ||||
\(215\) | − | 123.157i | − | 0.572825i | ||||||
\(216\) | −13.7315 | + | 215.563i | −0.0635718 | + | 0.997977i | ||||
\(217\) | −436.777 | −2.01280 | ||||||||
\(218\) | 100.421 | − | 373.816i | 0.460648 | − | 1.71475i | ||||
\(219\) | 53.7160 | + | 55.9716i | 0.245278 | + | 0.255578i | ||||
\(220\) | 51.1505 | − | 88.3326i | 0.232502 | − | 0.401512i | ||||
\(221\) | −31.9160 | − | 181.005i | −0.144416 | − | 0.819026i | ||||
\(222\) | 3.66999 | − | 173.047i | 0.0165315 | − | 0.779490i | ||||
\(223\) | −31.4443 | + | 37.4738i | −0.141006 | + | 0.168044i | −0.831925 | − | 0.554887i | \(-0.812761\pi\) |
0.690920 | + | 0.722931i | \(0.257206\pi\) | |||||||
\(224\) | −119.864 | + | 254.905i | −0.535105 | + | 1.13797i | ||||
\(225\) | 129.792 | + | 28.4327i | 0.576855 | + | 0.126368i | ||||
\(226\) | −149.976 | − | 13.2184i | −0.663609 | − | 0.0584884i | ||||
\(227\) | 347.917 | + | 61.3471i | 1.53267 | + | 0.270251i | 0.875399 | − | 0.483401i | \(-0.160599\pi\) |
0.657273 | + | 0.753652i | \(0.271710\pi\) | |||||||
\(228\) | 277.703 | − | 67.9443i | 1.21800 | − | 0.298001i | ||||
\(229\) | 203.515 | + | 74.0734i | 0.888712 | + | 0.323465i | 0.745720 | − | 0.666259i | \(-0.232106\pi\) |
0.142992 | + | 0.989724i | \(0.454328\pi\) | |||||||
\(230\) | −129.217 | − | 184.794i | −0.561813 | − | 0.803452i | ||||
\(231\) | −43.1626 | − | 97.7616i | −0.186851 | − | 0.423210i | ||||
\(232\) | 146.990 | − | 313.640i | 0.633579 | − | 1.35190i | ||||
\(233\) | 8.68589 | + | 15.0444i | 0.0372785 | + | 0.0645682i | 0.884063 | − | 0.467368i | \(-0.154798\pi\) |
−0.846784 | + | 0.531937i | \(0.821464\pi\) | |||||||
\(234\) | −200.047 | + | 83.2999i | −0.854901 | + | 0.355983i | ||||
\(235\) | 19.6279 | + | 11.3322i | 0.0835231 | + | 0.0482221i | ||||
\(236\) | 185.789 | + | 67.8926i | 0.787243 | + | 0.287680i | ||||
\(237\) | −253.697 | + | 16.9480i | −1.07045 | + | 0.0715104i | ||||
\(238\) | 113.747 | − | 243.523i | 0.477930 | − | 1.02321i | ||||
\(239\) | 85.0177 | + | 101.320i | 0.355722 | + | 0.423934i | 0.913996 | − | 0.405724i | \(-0.132980\pi\) |
−0.558273 | + | 0.829657i | \(0.688536\pi\) | |||||||
\(240\) | −121.538 | − | 277.206i | −0.506408 | − | 1.15503i | ||||
\(241\) | 241.722 | − | 87.9795i | 1.00299 | − | 0.365060i | 0.212256 | − | 0.977214i | \(-0.431919\pi\) |
0.790739 | + | 0.612154i | \(0.209697\pi\) | |||||||
\(242\) | −120.129 | + | 171.328i | −0.496402 | + | 0.707966i | ||||
\(243\) | −239.935 | + | 38.4722i | −0.987388 | + | 0.158322i | ||||
\(244\) | −142.177 | − | 392.198i | −0.582693 | − | 1.60737i | ||||
\(245\) | 168.783 | − | 61.4321i | 0.688912 | − | 0.250743i | ||||
\(246\) | 163.052 | + | 202.904i | 0.662813 | + | 0.824813i | ||||
\(247\) | 184.362 | + | 219.714i | 0.746406 | + | 0.889532i | ||||
\(248\) | −395.379 | − | 35.3601i | −1.59427 | − | 0.142581i | ||||
\(249\) | 187.357 | − | 12.5162i | 0.752438 | − | 0.0502657i | ||||
\(250\) | 124.723 | − | 33.3335i | 0.498893 | − | 0.133334i | ||||
\(251\) | 40.4851 | + | 23.3741i | 0.161295 | + | 0.0931237i | 0.578475 | − | 0.815700i | \(-0.303648\pi\) |
−0.417180 | + | 0.908824i | \(0.636981\pi\) | |||||||
\(252\) | −309.462 | − | 68.2090i | −1.22803 | − | 0.270671i | ||||
\(253\) | −36.1775 | − | 62.6612i | −0.142994 | − | 0.247673i | ||||
\(254\) | −44.5734 | + | 44.5161i | −0.175486 | + | 0.175260i | ||||
\(255\) | 116.651 | + | 264.210i | 0.457456 | + | 1.03612i | ||||
\(256\) | −129.139 | + | 221.041i | −0.504449 | + | 0.863441i | ||||
\(257\) | −214.289 | − | 77.9949i | −0.833810 | − | 0.303482i | −0.110388 | − | 0.993889i | \(-0.535209\pi\) |
−0.723422 | + | 0.690407i | \(0.757432\pi\) | |||||||
\(258\) | −88.1512 | − | 77.2112i | −0.341671 | − | 0.299268i | ||||
\(259\) | 250.074 | + | 44.0947i | 0.965535 | + | 0.170250i | ||||
\(260\) | 195.485 | − | 232.363i | 0.751867 | − | 0.893703i | ||||
\(261\) | 380.647 | + | 83.3856i | 1.45842 | + | 0.319485i | ||||
\(262\) | −146.789 | + | 68.3338i | −0.560263 | + | 0.260816i | ||||
\(263\) | 99.5544 | − | 118.644i | 0.378534 | − | 0.451119i | −0.542817 | − | 0.839851i | \(-0.682642\pi\) |
0.921351 | + | 0.388732i | \(0.127087\pi\) | |||||||
\(264\) | −31.1572 | − | 91.9900i | −0.118020 | − | 0.348447i | ||||
\(265\) | 88.8732 | + | 504.025i | 0.335371 | + | 1.90198i | ||||
\(266\) | 36.2870 | + | 417.858i | 0.136417 | + | 1.57089i | ||||
\(267\) | −48.4102 | − | 50.4430i | −0.181311 | − | 0.188925i | ||||
\(268\) | −211.814 | + | 177.269i | −0.790350 | + | 0.661452i | ||||
\(269\) | 69.6193 | 0.258808 | 0.129404 | − | 0.991592i | \(-0.458694\pi\) | ||||
0.129404 | + | 0.991592i | \(0.458694\pi\) | |||||||
\(270\) | 273.976 | − | 202.206i | 1.01473 | − | 0.748909i | ||||
\(271\) | − | 237.786i | − | 0.877438i | −0.898624 | − | 0.438719i | \(-0.855432\pi\) | ||
0.898624 | − | 0.438719i | \(-0.144568\pi\) | |||||||
\(272\) | 122.681 | − | 211.233i | 0.451034 | − | 0.776592i | ||||
\(273\) | −75.9508 | − | 308.707i | −0.278208 | − | 1.13079i | ||||
\(274\) | 17.6295 | + | 203.010i | 0.0643412 | + | 0.740912i | ||||
\(275\) | −58.8367 | + | 10.3745i | −0.213952 | + | 0.0377255i | ||||
\(276\) | −213.278 | − | 23.3646i | −0.772748 | − | 0.0846542i | ||||
\(277\) | −133.236 | − | 111.798i | −0.480995 | − | 0.403603i | 0.369791 | − | 0.929115i | \(-0.379429\pi\) |
−0.850786 | + | 0.525512i | \(0.823874\pi\) | |||||||
\(278\) | −398.324 | + | 185.430i | −1.43282 | + | 0.667013i | ||||
\(279\) | −59.4010 | − | 442.609i | −0.212907 | − | 1.58641i | ||||
\(280\) | 429.146 | − | 114.102i | 1.53266 | − | 0.407508i | ||||
\(281\) | −47.2360 | + | 267.889i | −0.168100 | + | 0.953341i | 0.777711 | + | 0.628622i | \(0.216381\pi\) |
−0.945811 | + | 0.324719i | \(0.894730\pi\) | |||||||
\(282\) | 20.4165 | − | 6.94439i | 0.0723989 | − | 0.0246255i | ||||
\(283\) | 160.917 | − | 442.115i | 0.568610 | − | 1.56224i | −0.238065 | − | 0.971249i | \(-0.576513\pi\) |
0.806675 | − | 0.590995i | \(-0.201265\pi\) | |||||||
\(284\) | −223.916 | − | 0.288031i | −0.788438 | − | 0.00101419i | ||||
\(285\) | −363.798 | − | 266.046i | −1.27648 | − | 0.933496i | ||||
\(286\) | 68.9424 | − | 68.8538i | 0.241057 | − | 0.240748i | ||||
\(287\) | −330.719 | + | 190.941i | −1.15233 | + | 0.665299i | ||||
\(288\) | −274.609 | − | 86.7972i | −0.953504 | − | 0.301379i | ||||
\(289\) | 27.9569 | − | 48.4228i | 0.0967367 | − | 0.167553i | ||||
\(290\) | −527.531 | + | 140.988i | −1.81907 | + | 0.486165i | ||||
\(291\) | −254.466 | − | 125.092i | −0.874455 | − | 0.429870i | ||||
\(292\) | −89.6449 | + | 51.6029i | −0.307003 | + | 0.176722i | ||||
\(293\) | 262.820 | − | 220.532i | 0.896996 | − | 0.752669i | −0.0726053 | − | 0.997361i | \(-0.523131\pi\) |
0.969601 | + | 0.244692i | \(0.0786869\pi\) | |||||||
\(294\) | 61.8449 | − | 159.322i | 0.210357 | − | 0.541913i | ||||
\(295\) | −106.653 | − | 293.026i | −0.361535 | − | 0.993308i | ||||
\(296\) | 222.802 | + | 60.1605i | 0.752708 | + | 0.203245i | ||||
\(297\) | 93.1967 | − | 57.0343i | 0.313794 | − | 0.192035i | ||||
\(298\) | −133.242 | + | 190.030i | −0.447122 | + | 0.637684i | ||||
\(299\) | −73.6187 | − | 202.266i | −0.246216 | − | 0.676474i | ||||
\(300\) | −78.3610 | + | 158.888i | −0.261203 | + | 0.529626i | ||||
\(301\) | 131.698 | − | 110.508i | 0.437535 | − | 0.367135i | ||||
\(302\) | 97.2278 | − | 208.156i | 0.321946 | − | 0.689258i | ||||
\(303\) | 335.143 | − | 224.544i | 1.10608 | − | 0.741070i | ||||
\(304\) | −0.980677 | + | 381.191i | −0.00322591 | + | 1.25392i | ||||
\(305\) | −328.827 | + | 569.545i | −1.07812 | + | 1.86736i | ||||
\(306\) | 262.244 | + | 82.1473i | 0.857005 | + | 0.268455i | ||||
\(307\) | −251.000 | + | 144.915i | −0.817589 | + | 0.472035i | −0.849584 | − | 0.527453i | \(-0.823147\pi\) |
0.0319956 | + | 0.999488i | \(0.489814\pi\) | |||||||
\(308\) | 140.355 | − | 24.5623i | 0.455698 | − | 0.0797476i | ||||
\(309\) | 20.9594 | − | 193.624i | 0.0678298 | − | 0.626615i | ||||
\(310\) | 358.606 | + | 512.844i | 1.15679 | + | 1.65434i | ||||
\(311\) | −116.870 | + | 321.097i | −0.375787 | + | 1.03247i | 0.597298 | + | 0.802019i | \(0.296241\pi\) |
−0.973085 | + | 0.230446i | \(0.925981\pi\) | |||||||
\(312\) | −43.7603 | − | 285.596i | −0.140257 | − | 0.915373i | ||||
\(313\) | 48.4649 | − | 274.858i | 0.154840 | − | 0.878141i | −0.804092 | − | 0.594505i | \(-0.797348\pi\) |
0.958932 | − | 0.283636i | \(-0.0915408\pi\) | |||||||
\(314\) | −36.0506 | − | 3.17738i | −0.114811 | − | 0.0101191i | ||||
\(315\) | 231.784 | + | 442.538i | 0.735822 | + | 1.40488i | ||||
\(316\) | 59.2991 | − | 333.791i | 0.187656 | − | 1.05630i | ||||
\(317\) | −176.584 | − | 148.172i | −0.557048 | − | 0.467419i | 0.320271 | − | 0.947326i | \(-0.396226\pi\) |
−0.877319 | + | 0.479907i | \(0.840670\pi\) | |||||||
\(318\) | 416.479 | + | 252.377i | 1.30968 | + | 0.793638i | ||||
\(319\) | −172.552 | + | 30.4257i | −0.540917 | + | 0.0953782i | ||||
\(320\) | 397.709 | − | 68.5454i | 1.24284 | − | 0.214204i | ||||
\(321\) | −152.790 | − | 44.3263i | −0.475982 | − | 0.138088i | ||||
\(322\) | 81.6638 | − | 303.991i | 0.253614 | − | 0.944072i | ||||
\(323\) | − | 363.733i | − | 1.12611i | ||||||
\(324\) | 27.0333 | − | 322.870i | 0.0834362 | − | 0.996513i | ||||
\(325\) | −177.732 | −0.546868 | ||||||||
\(326\) | 216.080 | + | 58.0474i | 0.662821 | + | 0.178059i | ||||
\(327\) | −161.770 | + | 557.612i | −0.494710 | + | 1.70524i | ||||
\(328\) | −314.831 | + | 146.069i | −0.959852 | + | 0.445334i | ||||
\(329\) | 5.49387 | + | 31.1573i | 0.0166987 | + | 0.0947030i | ||||
\(330\) | −79.3495 | + | 130.944i | −0.240453 | + | 0.396801i | ||||
\(331\) | −65.1143 | + | 77.6002i | −0.196720 | + | 0.234442i | −0.855383 | − | 0.517997i | \(-0.826678\pi\) |
0.658663 | + | 0.752438i | \(0.271122\pi\) | |||||||
\(332\) | −43.7927 | + | 246.506i | −0.131906 | + | 0.742489i | ||||
\(333\) | −10.6738 | + | 259.409i | −0.0320535 | + | 0.779006i | ||||
\(334\) | −10.4279 | + | 118.315i | −0.0312212 | + | 0.354236i | ||||
\(335\) | 428.810 | + | 75.6108i | 1.28003 | + | 0.225704i | ||||
\(336\) | 187.375 | − | 378.700i | 0.557664 | − | 1.12708i | ||||
\(337\) | −191.992 | − | 69.8794i | −0.569709 | − | 0.207357i | 0.0410724 | − | 0.999156i | \(-0.486923\pi\) |
−0.610782 | + | 0.791799i | \(0.709145\pi\) | |||||||
\(338\) | −39.4503 | + | 27.5856i | −0.116717 | + | 0.0816141i | ||||
\(339\) | 224.524 | + | 24.3043i | 0.662313 | + | 0.0716941i | ||||
\(340\) | −379.323 | + | 66.3819i | −1.11566 | + | 0.195241i | ||||
\(341\) | 100.400 | + | 173.899i | 0.294430 | + | 0.509967i | ||||
\(342\) | −418.502 | + | 93.5995i | −1.22369 | + | 0.273683i | ||||
\(343\) | −156.397 | − | 90.2957i | −0.455967 | − | 0.263253i | ||||
\(344\) | 128.162 | − | 89.3719i | 0.372564 | − | 0.259802i | ||||
\(345\) | 188.266 | + | 280.996i | 0.545699 | + | 0.814482i | ||||
\(346\) | 165.641 | + | 77.3696i | 0.478732 | + | 0.223612i | ||||
\(347\) | 144.591 | + | 172.317i | 0.416688 | + | 0.496589i | 0.933033 | − | 0.359791i | \(-0.117152\pi\) |
−0.516345 | + | 0.856381i | \(0.672708\pi\) | |||||||
\(348\) | −229.812 | + | 465.975i | −0.660379 | + | 1.33901i | ||||
\(349\) | 308.560 | − | 112.307i | 0.884127 | − | 0.321796i | 0.140253 | − | 0.990116i | \(-0.455208\pi\) |
0.743874 | + | 0.668320i | \(0.232986\pi\) | |||||||
\(350\) | −212.809 | − | 149.215i | −0.608026 | − | 0.426328i | ||||
\(351\) | 302.499 | − | 118.949i | 0.861822 | − | 0.338885i | ||||
\(352\) | 129.041 | − | 10.8716i | 0.366592 | − | 0.0308851i | ||||
\(353\) | 28.8261 | − | 10.4918i | 0.0816603 | − | 0.0297219i | −0.300867 | − | 0.953666i | \(-0.597276\pi\) |
0.382527 | + | 0.923944i | \(0.375054\pi\) | |||||||
\(354\) | −276.600 | − | 107.369i | −0.781357 | − | 0.303303i | ||||
\(355\) | 226.900 | + | 270.409i | 0.639156 | + | 0.761716i | ||||
\(356\) | 80.7903 | − | 46.5058i | 0.226939 | − | 0.130634i | ||||
\(357\) | −177.863 | + | 361.814i | −0.498215 | + | 1.01348i | ||||
\(358\) | −162.510 | − | 608.058i | −0.453937 | − | 1.69849i | ||||
\(359\) | −285.024 | − | 164.559i | −0.793939 | − | 0.458381i | 0.0474081 | − | 0.998876i | \(-0.484904\pi\) |
−0.841348 | + | 0.540494i | \(0.818237\pi\) | |||||||
\(360\) | 173.989 | + | 419.358i | 0.483303 | + | 1.16488i | ||||
\(361\) | 103.304 | + | 178.927i | 0.286159 | + | 0.495643i | ||||
\(362\) | 289.892 | + | 290.265i | 0.800807 | + | 0.801838i | ||||
\(363\) | 185.277 | − | 253.352i | 0.510404 | − | 0.697938i | ||||
\(364\) | 423.883 | + | 0.545255i | 1.16451 | + | 0.00149795i | ||||
\(365\) | 153.229 | + | 55.7707i | 0.419805 | + | 0.152797i | ||||
\(366\) | 201.506 | + | 592.427i | 0.550563 | + | 1.61865i | ||||
\(367\) | −187.339 | − | 33.0330i | −0.510461 | − | 0.0900081i | −0.0875156 | − | 0.996163i | \(-0.527893\pi\) |
−0.422946 | + | 0.906155i | \(0.639004\pi\) | |||||||
\(368\) | 98.5338 | − | 268.568i | 0.267755 | − | 0.729803i | ||||
\(369\) | −238.467 | − | 309.167i | −0.646253 | − | 0.837851i | ||||
\(370\) | −153.543 | − | 329.828i | −0.414981 | − | 0.891427i | ||||
\(371\) | −459.233 | + | 547.292i | −1.23782 | + | 1.47518i | ||||
\(372\) | 591.895 | + | 64.8419i | 1.59112 | + | 0.174306i | ||||
\(373\) | 21.9716 | + | 124.607i | 0.0589052 | + | 0.334068i | 0.999992 | − | 0.00409830i | \(-0.00130453\pi\) |
−0.941086 | + | 0.338166i | \(0.890193\pi\) | |||||||
\(374\) | −123.103 | + | 10.6903i | −0.329153 | + | 0.0285838i | ||||
\(375\) | −188.044 | + | 46.2642i | −0.501450 | + | 0.123371i | ||||
\(376\) | 2.45077 | + | 28.6490i | 0.00651800 | + | 0.0761940i | ||||
\(377\) | −521.241 | −1.38260 | ||||||||
\(378\) | 462.064 | + | 111.539i | 1.22239 | + | 0.295076i | ||||
\(379\) | 101.688i | 0.268305i | 0.990961 | + | 0.134153i | \(0.0428312\pi\) | ||||
−0.990961 | + | 0.134153i | \(0.957169\pi\) | |||||||
\(380\) | 460.837 | − | 385.679i | 1.21273 | − | 1.01495i | ||||
\(381\) | 68.1768 | − | 65.4292i | 0.178942 | − | 0.171730i | ||||
\(382\) | 62.0558 | − | 5.38896i | 0.162450 | − | 0.0141072i | ||||
\(383\) | 43.3604 | − | 7.64562i | 0.113213 | − | 0.0199624i | −0.116755 | − | 0.993161i | \(-0.537249\pi\) |
0.229967 | + | 0.973198i | \(0.426138\pi\) | |||||||
\(384\) | 200.274 | − | 327.638i | 0.521547 | − | 0.853223i | ||||
\(385\) | −172.073 | − | 144.387i | −0.446944 | − | 0.375030i | ||||
\(386\) | −163.252 | − | 350.683i | −0.422932 | − | 0.908506i | ||||
\(387\) | 129.894 | + | 118.427i | 0.335643 | + | 0.306014i | ||||
\(388\) | 243.390 | − | 289.304i | 0.627293 | − | 0.745629i | ||||
\(389\) | 79.7241 | − | 452.138i | 0.204946 | − | 1.16231i | −0.692578 | − | 0.721343i | \(-0.743525\pi\) |
0.897524 | − | 0.440965i | \(-0.145364\pi\) | |||||||
\(390\) | −300.112 | + | 342.635i | −0.769518 | + | 0.878551i | ||||
\(391\) | −93.3611 | + | 256.508i | −0.238775 | + | 0.656029i | ||||
\(392\) | 186.410 | + | 131.062i | 0.475536 | + | 0.334343i | ||||
\(393\) | 222.181 | − | 98.0950i | 0.565346 | − | 0.249606i | ||||
\(394\) | −375.946 | − | 376.429i | −0.954176 | − | 0.955405i | ||||
\(395\) | −462.843 | + | 267.223i | −1.17176 | + | 0.676513i | ||||
\(396\) | 43.9782 | + | 138.888i | 0.111056 | + | 0.350728i | ||||
\(397\) | 38.9350 | − | 67.4374i | 0.0980731 | − | 0.169868i | −0.812814 | − | 0.582523i | \(-0.802065\pi\) |
0.910887 | + | 0.412656i | \(0.135399\pi\) | |||||||
\(398\) | −15.3796 | − | 57.5453i | −0.0386421 | − | 0.144586i | ||||
\(399\) | −41.9359 | − | 627.747i | −0.105102 | − | 1.57330i | ||||
\(400\) | −180.559 | − | 152.300i | −0.451398 | − | 0.380751i | ||||
\(401\) | −430.076 | + | 360.877i | −1.07251 | + | 0.899943i | −0.995278 | − | 0.0970705i | \(-0.969053\pi\) |
−0.0772323 | + | 0.997013i | \(0.524608\pi\) | |||||||
\(402\) | 322.954 | − | 259.523i | 0.803368 | − | 0.645579i | ||||
\(403\) | 204.308 | + | 561.332i | 0.506969 | + | 1.39288i | ||||
\(404\) | 183.316 | + | 505.680i | 0.453753 | + | 1.25168i | ||||
\(405\) | −416.924 | + | 295.063i | −1.02944 | + | 0.728550i | ||||
\(406\) | −624.112 | − | 437.607i | −1.53722 | − | 1.07785i | ||||
\(407\) | −39.9276 | − | 109.700i | −0.0981023 | − | 0.269534i | ||||
\(408\) | −190.296 | + | 313.122i | −0.466412 | + | 0.767455i | ||||
\(409\) | 286.590 | − | 240.478i | 0.700710 | − | 0.587966i | −0.221265 | − | 0.975214i | \(-0.571019\pi\) |
0.921976 | + | 0.387248i | \(0.126574\pi\) | |||||||
\(410\) | 495.724 | + | 231.548i | 1.20908 | + | 0.564751i | ||||
\(411\) | −20.3739 | − | 304.981i | −0.0495715 | − | 0.742046i | ||||
\(412\) | 243.899 | + | 89.1274i | 0.591987 | + | 0.216329i | ||||
\(413\) | 217.648 | − | 376.978i | 0.526993 | − | 0.912779i | ||||
\(414\) | 319.156 | + | 41.4118i | 0.770908 | + | 0.100028i | ||||
\(415\) | 341.812 | − | 197.345i | 0.823644 | − | 0.475531i | ||||
\(416\) | 383.663 | + | 34.8098i | 0.922268 | + | 0.0836774i | ||||
\(417\) | 602.907 | − | 266.189i | 1.44582 | − | 0.638343i | ||||
\(418\) | 158.025 | − | 110.499i | 0.378050 | − | 0.264351i | ||||
\(419\) | −119.164 | + | 327.401i | −0.284402 | + | 0.781388i | 0.712422 | + | 0.701751i | \(0.247598\pi\) |
−0.996824 | + | 0.0796365i | \(0.974624\pi\) | |||||||
\(420\) | −647.000 | + | 158.298i | −1.54048 | + | 0.376901i | ||||
\(421\) | 28.8481 | − | 163.606i | 0.0685227 | − | 0.388612i | −0.931188 | − | 0.364541i | \(-0.881226\pi\) |
0.999710 | − | 0.0240712i | \(-0.00766283\pi\) | |||||||
\(422\) | −19.7661 | + | 224.267i | −0.0468392 | + | 0.531438i | ||||
\(423\) | −30.8261 | + | 9.80456i | −0.0728750 | + | 0.0231786i | ||||
\(424\) | −460.013 | + | 458.241i | −1.08494 | + | 1.08076i | ||||
\(425\) | 172.662 | + | 144.881i | 0.406264 | + | 0.340896i | ||||
\(426\) | 335.799 | + | 7.12166i | 0.788261 | + | 0.0167175i | ||||
\(427\) | −904.095 | + | 159.416i | −2.11732 | + | 0.373340i | ||||
\(428\) | 106.296 | − | 183.565i | 0.248356 | − | 0.428890i | ||||
\(429\) | −105.450 | + | 101.201i | −0.245805 | + | 0.235899i | ||||
\(430\) | −237.881 | − | 63.9039i | −0.553211 | − | 0.148614i | ||||
\(431\) | 149.947i | 0.347904i | 0.984754 | + | 0.173952i | \(0.0556538\pi\) | ||||
−0.984754 | + | 0.173952i | \(0.944346\pi\) | |||||||
\(432\) | 409.239 | + | 138.374i | 0.947313 | + | 0.320311i | ||||
\(433\) | −117.205 | −0.270681 | −0.135341 | − | 0.990799i | \(-0.543213\pi\) | ||||
−0.135341 | + | 0.990799i | \(0.543213\pi\) | |||||||
\(434\) | −226.635 | + | 843.644i | −0.522201 | + | 1.94388i | ||||
\(435\) | 795.351 | − | 195.679i | 1.82839 | − | 0.449838i | ||||
\(436\) | −669.925 | − | 387.931i | −1.53653 | − | 0.889751i | ||||
\(437\) | −73.9691 | − | 419.499i | −0.169266 | − | 0.959953i | ||||
\(438\) | 135.982 | − | 74.7108i | 0.310462 | − | 0.170573i | ||||
\(439\) | −88.8615 | + | 105.901i | −0.202418 | + | 0.241232i | −0.857698 | − | 0.514154i | \(-0.828106\pi\) |
0.655280 | + | 0.755386i | \(0.272551\pi\) | |||||||
\(440\) | −144.075 | − | 144.632i | −0.327443 | − | 0.328709i | ||||
\(441\) | −97.5088 | + | 237.088i | −0.221108 | + | 0.537615i | ||||
\(442\) | −366.175 | − | 32.2735i | −0.828450 | − | 0.0730169i | ||||
\(443\) | −528.154 | − | 93.1279i | −1.19222 | − | 0.210221i | −0.457888 | − | 0.889010i | \(-0.651394\pi\) |
−0.734334 | + | 0.678789i | \(0.762505\pi\) | |||||||
\(444\) | −332.339 | − | 96.8793i | −0.748511 | − | 0.218197i | ||||
\(445\) | −138.094 | − | 50.2620i | −0.310323 | − | 0.112948i | ||||
\(446\) | 56.0655 | + | 80.1796i | 0.125707 | + | 0.179775i | ||||
\(447\) | 205.501 | − | 281.007i | 0.459735 | − | 0.628652i | ||||
\(448\) | 430.158 | + | 363.784i | 0.960175 | + | 0.812017i | ||||
\(449\) | 228.269 | + | 395.373i | 0.508394 | + | 0.880564i | 0.999953 | + | 0.00971998i | \(0.00309401\pi\) |
−0.491559 | + | 0.870844i | \(0.663573\pi\) | |||||||
\(450\) | 122.265 | − | 235.943i | 0.271700 | − | 0.524318i | ||||
\(451\) | 152.043 | + | 87.7818i | 0.337123 | + | 0.194638i | ||||
\(452\) | −103.351 | + | 282.822i | −0.228653 | + | 0.625712i | ||||
\(453\) | −152.032 | + | 309.267i | −0.335611 | + | 0.682709i | ||||
\(454\) | 299.020 | − | 640.175i | 0.658635 | − | 1.41008i | ||||
\(455\) | −429.532 | − | 511.897i | −0.944027 | − | 1.12505i | ||||
\(456\) | 12.8591 | − | 571.644i | 0.0281999 | − | 1.25360i | ||||
\(457\) | −544.589 | + | 198.214i | −1.19166 | + | 0.433729i | −0.860306 | − | 0.509778i | \(-0.829728\pi\) |
−0.331354 | + | 0.943506i | \(0.607505\pi\) | |||||||
\(458\) | 248.674 | − | 354.658i | 0.542956 | − | 0.774362i | ||||
\(459\) | −390.833 | − | 131.031i | −0.851489 | − | 0.285471i | ||||
\(460\) | −423.981 | + | 153.699i | −0.921698 | + | 0.334128i | ||||
\(461\) | 377.847 | − | 137.525i | 0.819624 | − | 0.298319i | 0.102031 | − | 0.994781i | \(-0.467466\pi\) |
0.717593 | + | 0.696463i | \(0.245244\pi\) | |||||||
\(462\) | −211.225 | + | 32.6428i | −0.457196 | + | 0.0706555i | ||||
\(463\) | 542.788 | + | 646.870i | 1.17233 | + | 1.39713i | 0.900542 | + | 0.434769i | \(0.143170\pi\) |
0.271786 | + | 0.962358i | \(0.412386\pi\) | |||||||
\(464\) | −529.531 | − | 446.656i | −1.14123 | − | 0.962621i | ||||
\(465\) | −522.481 | − | 779.827i | −1.12361 | − | 1.67705i | ||||
\(466\) | 33.5655 | − | 8.97071i | 0.0720289 | − | 0.0192504i | ||||
\(467\) | 592.887 | + | 342.304i | 1.26957 | + | 0.732984i | 0.974906 | − | 0.222618i | \(-0.0714601\pi\) |
0.294660 | + | 0.955602i | \(0.404793\pi\) | |||||||
\(468\) | 57.0949 | + | 429.617i | 0.121998 | + | 0.917985i | ||||
\(469\) | 303.912 | + | 526.392i | 0.648001 | + | 1.12237i | ||||
\(470\) | 32.0729 | − | 32.0316i | 0.0682401 | − | 0.0681524i | ||||
\(471\) | 53.9702 | + | 5.84217i | 0.114587 | + | 0.0124038i | ||||
\(472\) | 227.538 | − | 323.627i | 0.482073 | − | 0.685651i | ||||
\(473\) | −74.2705 | − | 27.0323i | −0.157020 | − | 0.0571507i | ||||
\(474\) | −98.9034 | + | 498.815i | −0.208657 | + | 1.05235i | ||||
\(475\) | −346.386 | − | 61.0772i | −0.729234 | − | 0.128584i | ||||
\(476\) | −411.348 | − | 346.064i | −0.864176 | − | 0.727026i | ||||
\(477\) | −617.054 | − | 390.933i | −1.29361 | − | 0.819566i | ||||
\(478\) | 239.816 | − | 111.640i | 0.501706 | − | 0.233557i | ||||
\(479\) | 311.792 | − | 371.580i | 0.650924 | − | 0.775740i | −0.335129 | − | 0.942172i | \(-0.608780\pi\) |
0.986053 | + | 0.166432i | \(0.0532245\pi\) | |||||||
\(480\) | −598.493 | + | 90.9158i | −1.24686 | + | 0.189408i | ||||
\(481\) | −60.3060 | − | 342.012i | −0.125376 | − | 0.711045i | ||||
\(482\) | −44.5094 | − | 512.541i | −0.0923431 | − | 1.06336i | ||||
\(483\) | −131.553 | + | 453.457i | −0.272367 | + | 0.938834i | ||||
\(484\) | 268.590 | + | 320.930i | 0.554938 | + | 0.663079i | ||||
\(485\) | −596.007 | −1.22888 | ||||||||
\(486\) | −50.1880 | + | 483.402i | −0.103267 | + | 0.994654i | ||||
\(487\) | − | 77.9383i | − | 0.160038i | −0.996793 | − | 0.0800188i | \(-0.974502\pi\) | ||
0.996793 | − | 0.0800188i | \(-0.0254980\pi\) | |||||||
\(488\) | −831.310 | + | 71.1142i | −1.70350 | + | 0.145726i | ||||
\(489\) | −322.321 | − | 93.5094i | −0.659143 | − | 0.191226i | ||||
\(490\) | −31.0789 | − | 357.884i | −0.0634263 | − | 0.730376i | ||||
\(491\) | 398.433 | − | 70.2545i | 0.811473 | − | 0.143085i | 0.247511 | − | 0.968885i | \(-0.420387\pi\) |
0.563962 | + | 0.825801i | \(0.309276\pi\) | |||||||
\(492\) | 476.517 | − | 209.655i | 0.968531 | − | 0.426128i | ||||
\(493\) | 506.372 | + | 424.897i | 1.02712 | + | 0.861860i | ||||
\(494\) | 520.044 | − | 242.094i | 1.05272 | − | 0.490068i | ||||
\(495\) | 122.913 | − | 194.007i | 0.248309 | − | 0.391934i | ||||
\(496\) | −273.453 | + | 745.335i | −0.551317 | + | 1.50269i | ||||
\(497\) | −85.5663 | + | 485.271i | −0.172166 | + | 0.976399i | ||||
\(498\) | 73.0407 | − | 368.378i | 0.146668 | − | 0.739715i | ||||
\(499\) | 246.492 | − | 677.231i | 0.493971 | − | 1.35718i | −0.403046 | − | 0.915180i | \(-0.632048\pi\) |
0.897017 | − | 0.441996i | \(-0.145729\pi\) | |||||||
\(500\) | 0.332133 | − | 258.201i | 0.000664265 | − | 0.516403i | ||||
\(501\) | 19.1735 | − | 177.125i | 0.0382704 | − | 0.353543i | ||||
\(502\) | 66.1543 | − | 66.0693i | 0.131782 | − | 0.131612i | ||||
\(503\) | 204.980 | − | 118.346i | 0.407516 | − | 0.235279i | −0.282206 | − | 0.959354i | \(-0.591066\pi\) |
0.689722 | + | 0.724074i | \(0.257733\pi\) | |||||||
\(504\) | −292.321 | + | 562.340i | −0.580002 | + | 1.11575i | ||||
\(505\) | 423.973 | − | 734.343i | 0.839551 | − | 1.45415i | ||||
\(506\) | −139.803 | + | 37.3638i | −0.276291 | + | 0.0738414i | ||||
\(507\) | 59.9878 | − | 40.1915i | 0.118319 | − | 0.0792732i | ||||
\(508\) | 62.8554 | + | 109.193i | 0.123731 | + | 0.214947i | ||||
\(509\) | −472.945 | + | 396.848i | −0.929165 | + | 0.779662i | −0.975667 | − | 0.219256i | \(-0.929637\pi\) |
0.0465023 | + | 0.998918i | \(0.485193\pi\) | |||||||
\(510\) | 570.855 | − | 88.2205i | 1.11932 | − | 0.172981i | ||||
\(511\) | 77.8522 | + | 213.897i | 0.152353 | + | 0.418586i | ||||
\(512\) | 359.937 | + | 364.128i | 0.703002 | + | 0.711188i | ||||
\(513\) | 630.425 | − | 127.868i | 1.22890 | − | 0.249256i | ||||
\(514\) | −261.839 | + | 373.433i | −0.509414 | + | 0.726524i | ||||
\(515\) | −140.011 | − | 384.676i | −0.271865 | − | 0.746943i | ||||
\(516\) | −194.875 | + | 130.202i | −0.377664 | + | 0.252330i | ||||
\(517\) | 11.1421 | − | 9.34935i | 0.0215515 | − | 0.0180839i | ||||
\(518\) | 214.928 | − | 460.142i | 0.414919 | − | 0.888304i | ||||
\(519\) | −246.101 | − | 120.980i | −0.474184 | − | 0.233102i | ||||
\(520\) | −347.379 | − | 498.152i | −0.668037 | − | 0.957985i | ||||
\(521\) | 188.649 | − | 326.750i | 0.362090 | − | 0.627159i | −0.626214 | − | 0.779651i | \(-0.715397\pi\) |
0.988305 | + | 0.152492i | \(0.0487299\pi\) | |||||||
\(522\) | 358.571 | − | 691.959i | 0.686917 | − | 1.32559i | ||||
\(523\) | 718.669 | − | 414.924i | 1.37413 | − | 0.793353i | 0.382683 | − | 0.923880i | \(-0.375000\pi\) |
0.991445 | + | 0.130527i | \(0.0416669\pi\) | |||||||
\(524\) | 55.8222 | + | 318.982i | 0.106531 | + | 0.608745i | ||||
\(525\) | 314.692 | + | 230.135i | 0.599414 | + | 0.438353i | ||||
\(526\) | −177.507 | − | 253.853i | −0.337466 | − | 0.482611i | ||||
\(527\) | 259.098 | − | 711.865i | 0.491647 | − | 1.35079i | ||||
\(528\) | −193.847 | + | 12.4489i | −0.367135 | + | 0.0235774i | ||||
\(529\) | 36.3485 | − | 206.142i | 0.0687117 | − | 0.389683i | ||||
\(530\) | 1019.65 | + | 89.8685i | 1.92386 | + | 0.169563i | ||||
\(531\) | 411.611 | + | 169.286i | 0.775161 | + | 0.318805i | ||||
\(532\) | 825.929 | + | 146.729i | 1.55250 | + | 0.275807i | ||||
\(533\) | 400.089 | + | 335.715i | 0.750637 | + | 0.629859i | ||||
\(534\) | −122.551 | + | 67.3312i | −0.229496 | + | 0.126088i | ||||
\(535\) | −329.318 | + | 58.0676i | −0.615547 | + | 0.108538i | ||||
\(536\) | 232.492 | + | 501.104i | 0.433755 | + | 0.934895i | ||||
\(537\) | 225.550 | + | 916.762i | 0.420018 | + | 1.70719i | ||||
\(538\) | 36.1241 | − | 134.471i | 0.0671452 | − | 0.249946i | ||||
\(539\) | − | 115.270i | − | 0.213858i | ||||||
\(540\) | −248.403 | − | 634.110i | −0.460005 | − | 1.17428i | ||||
\(541\) | 947.380 | 1.75116 | 0.875582 | − | 0.483069i | \(-0.160478\pi\) | ||||
0.875582 | + | 0.483069i | \(0.160478\pi\) | |||||||
\(542\) | −459.288 | − | 123.382i | −0.847394 | − | 0.227643i | ||||
\(543\) | −426.080 | − | 443.972i | −0.784678 | − | 0.817629i | ||||
\(544\) | −344.344 | − | 346.566i | −0.632985 | − | 0.637069i | ||||
\(545\) | 211.919 | + | 1201.85i | 0.388843 | + | 2.20524i | ||||
\(546\) | −635.683 | − | 13.4816i | −1.16425 | − | 0.0246916i | ||||
\(547\) | 202.576 | − | 241.421i | 0.370341 | − | 0.441355i | −0.548400 | − | 0.836216i | \(-0.684763\pi\) |
0.918741 | + | 0.394861i | \(0.129207\pi\) | |||||||
\(548\) | 401.265 | + | 71.2861i | 0.732235 | + | 0.130084i | ||||
\(549\) | −284.500 | − | 894.485i | −0.518215 | − | 1.62930i | ||||
\(550\) | −10.4907 | + | 119.027i | −0.0190740 | + | 0.216413i | ||||
\(551\) | −1015.86 | − | 179.123i | −1.84366 | − | 0.325087i | ||||
\(552\) | −155.795 | + | 399.828i | −0.282237 | + | 0.724325i | ||||
\(553\) | −701.058 | − | 255.164i | −1.26774 | − | 0.461418i | ||||
\(554\) | −285.073 | + | 199.337i | −0.514573 | + | 0.359815i | ||||
\(555\) | 220.415 | + | 499.231i | 0.397144 | + | 0.899515i | ||||
\(556\) | 151.478 | + | 865.586i | 0.272443 | + | 1.55681i | ||||
\(557\) | −197.912 | − | 342.794i | −0.355318 | − | 0.615429i | 0.631854 | − | 0.775087i | \(-0.282294\pi\) |
−0.987172 | + | 0.159659i | \(0.948961\pi\) | |||||||
\(558\) | −885.729 | − | 114.927i | −1.58733 | − | 0.205962i | ||||
\(559\) | −203.624 | − | 117.563i | −0.364266 | − | 0.210309i | ||||
\(560\) | 2.28481 | − | 888.109i | 0.00408002 | − | 1.58591i | ||||
\(561\) | 184.937 | − | 12.3545i | 0.329657 | − | 0.0220223i | ||||
\(562\) | 492.922 | + | 230.239i | 0.877086 | + | 0.409679i | ||||
\(563\) | 14.0883 | + | 16.7898i | 0.0250236 | + | 0.0298219i | 0.778411 | − | 0.627755i | \(-0.216026\pi\) |
−0.753388 | + | 0.657577i | \(0.771582\pi\) | |||||||
\(564\) | −2.81951 | − | 43.0381i | −0.00499913 | − | 0.0763087i | ||||
\(565\) | 446.065 | − | 162.355i | 0.789496 | − | 0.287353i | ||||
\(566\) | −770.457 | − | 540.219i | −1.36123 | − | 0.954450i | ||||
\(567\) | −689.626 | − | 181.079i | −1.21627 | − | 0.319364i | ||||
\(568\) | −116.742 | + | 432.349i | −0.205532 | + | 0.761178i | ||||
\(569\) | 71.8483 | − | 26.1506i | 0.126271 | − | 0.0459589i | −0.278112 | − | 0.960549i | \(-0.589709\pi\) |
0.404383 | + | 0.914590i | \(0.367486\pi\) | |||||||
\(570\) | −702.641 | + | 564.636i | −1.23270 | + | 0.990590i | ||||
\(571\) | 551.758 | + | 657.560i | 0.966301 | + | 1.15159i | 0.988406 | + | 0.151837i | \(0.0485190\pi\) |
−0.0221043 | + | 0.999756i | \(0.507037\pi\) | |||||||
\(572\) | −97.2195 | − | 168.890i | −0.169964 | − | 0.295263i | ||||
\(573\) | −93.2262 | + | 6.22787i | −0.162698 | + | 0.0108689i | ||||
\(574\) | 197.202 | + | 737.866i | 0.343558 | + | 1.28548i | ||||
\(575\) | 228.598 | + | 131.981i | 0.397561 | + | 0.229532i | ||||
\(576\) | −310.140 | + | 485.375i | −0.538437 | + | 0.842666i | ||||
\(577\) | 358.886 | + | 621.609i | 0.621986 | + | 1.07731i | 0.989115 | + | 0.147142i | \(0.0470075\pi\) |
−0.367129 | + | 0.930170i | \(0.619659\pi\) | |||||||
\(578\) | −79.0232 | − | 79.1249i | −0.136718 | − | 0.136894i | ||||
\(579\) | 234.352 | + | 530.798i | 0.404753 | + | 0.916750i | ||||
\(580\) | −1.40479 | + | 1092.09i | −0.00242205 | + | 1.88292i | ||||
\(581\) | 517.735 | + | 188.440i | 0.891110 | + | 0.324338i | ||||
\(582\) | −373.656 | + | 426.599i | −0.642020 | + | 0.732987i | ||||
\(583\) | 323.461 | + | 57.0350i | 0.554822 | + | 0.0978301i | ||||
\(584\) | 53.1569 | + | 199.927i | 0.0910221 | + | 0.342340i | ||||
\(585\) | 460.315 | − | 504.884i | 0.786864 | − | 0.863050i | ||||
\(586\) | −289.589 | − | 622.071i | −0.494180 | − | 1.06155i | ||||
\(587\) | −296.445 | + | 353.290i | −0.505017 | + | 0.601856i | −0.956970 | − | 0.290186i | \(-0.906283\pi\) |
0.451953 | + | 0.892042i | \(0.350727\pi\) | |||||||
\(588\) | −275.644 | − | 202.124i | −0.468782 | − | 0.343748i | ||||
\(589\) | 205.281 | + | 1164.20i | 0.348524 | + | 1.97658i | ||||
\(590\) | −621.325 | + | 53.9563i | −1.05309 | + | 0.0914513i | ||||
\(591\) | 552.560 | + | 575.764i | 0.934958 | + | 0.974220i | ||||
\(592\) | 231.809 | − | 399.129i | 0.391568 | − | 0.674205i | ||||
\(593\) | 680.046 | 1.14679 | 0.573395 | − | 0.819279i | \(-0.305626\pi\) | ||||
0.573395 | + | 0.819279i | \(0.305626\pi\) | |||||||
\(594\) | −61.8049 | − | 209.605i | −0.104049 | − | 0.352871i | ||||
\(595\) | 847.434i | 1.42426i | ||||||||
\(596\) | 297.909 | + | 355.963i | 0.499847 | + | 0.597253i | ||||
\(597\) | 21.3455 | + | 86.7603i | 0.0357547 | + | 0.145327i | ||||
\(598\) | −428.879 | + | 37.2441i | −0.717189 | + | 0.0622812i | ||||
\(599\) | −401.294 | + | 70.7590i | −0.669941 | + | 0.118129i | −0.498265 | − | 0.867025i | \(-0.666029\pi\) |
−0.171676 | + | 0.985153i | \(0.554918\pi\) | |||||||
\(600\) | 266.235 | + | 233.799i | 0.443724 | + | 0.389666i | ||||
\(601\) | −95.1408 | − | 79.8326i | −0.158304 | − | 0.132833i | 0.560195 | − | 0.828361i | \(-0.310726\pi\) |
−0.718499 | + | 0.695528i | \(0.755171\pi\) | |||||||
\(602\) | −145.112 | − | 311.717i | −0.241050 | − | 0.517803i | ||||
\(603\) | −492.088 | + | 379.558i | −0.816067 | + | 0.629450i | ||||
\(604\) | −351.608 | − | 295.805i | −0.582132 | − | 0.489744i | ||||
\(605\) | 114.562 | − | 649.713i | 0.189359 | − | 1.07391i | ||||
\(606\) | −259.812 | − | 763.846i | −0.428733 | − | 1.26047i | ||||
\(607\) | 72.4290 | − | 198.997i | 0.119323 | − | 0.327837i | −0.865624 | − | 0.500695i | \(-0.833078\pi\) |
0.984947 | + | 0.172858i | \(0.0553001\pi\) | |||||||
\(608\) | 735.768 | + | 199.687i | 1.21015 | + | 0.328432i | ||||
\(609\) | 922.909 | + | 674.926i | 1.51545 | + | 1.10825i | ||||
\(610\) | 929.465 | + | 930.662i | 1.52371 | + | 1.52568i | ||||
\(611\) | 37.4725 | − | 21.6348i | 0.0613299 | − | 0.0354088i | ||||
\(612\) | 294.742 | − | 463.904i | 0.481605 | − | 0.758013i | ||||
\(613\) | −348.189 | + | 603.082i | −0.568009 | + | 0.983820i | 0.428754 | + | 0.903421i | \(0.358953\pi\) |
−0.996763 | + | 0.0803988i | \(0.974381\pi\) | |||||||
\(614\) | 149.667 | + | 560.004i | 0.243757 | + | 0.912058i | ||||
\(615\) | −736.520 | − | 362.063i | −1.19759 | − | 0.588721i | ||||
\(616\) | 25.3850 | − | 283.843i | 0.0412094 | − | 0.460784i | ||||
\(617\) | 164.966 | − | 138.423i | 0.267368 | − | 0.224349i | −0.499240 | − | 0.866464i | \(-0.666387\pi\) |
0.766608 | + | 0.642115i | \(0.221943\pi\) | |||||||
\(618\) | −363.113 | − | 140.951i | −0.587561 | − | 0.228076i | ||||
\(619\) | −275.355 | − | 756.532i | −0.444839 | − | 1.22218i | −0.936274 | − | 0.351270i | \(-0.885750\pi\) |
0.491435 | − | 0.870914i | \(-0.336472\pi\) | |||||||
\(620\) | 1176.64 | − | 426.549i | 1.89781 | − | 0.687983i | ||||
\(621\) | −477.402 | − | 71.6404i | −0.768763 | − | 0.115363i | ||||
\(622\) | 559.563 | + | 392.347i | 0.899619 | + | 0.630783i | ||||
\(623\) | −70.1624 | − | 192.770i | −0.112620 | − | 0.309421i | ||||
\(624\) | −574.341 | − | 63.6666i | −0.920418 | − | 0.102030i | ||||
\(625\) | −594.548 | + | 498.885i | −0.951277 | + | 0.798216i | ||||
\(626\) | −505.746 | − | 236.229i | −0.807901 | − | 0.377363i | ||||
\(627\) | −240.292 | + | 160.994i | −0.383240 | + | 0.256769i | ||||
\(628\) | −24.8431 | + | 67.9837i | −0.0395591 | + | 0.108254i | ||||
\(629\) | −220.211 | + | 381.416i | −0.350096 | + | 0.606385i | ||||
\(630\) | 975.038 | − | 218.071i | 1.54768 | − | 0.346144i | ||||
\(631\) | −834.435 | + | 481.761i | −1.32240 | + | 0.763488i | −0.984111 | − | 0.177554i | \(-0.943182\pi\) |
−0.338289 | + | 0.941042i | \(0.609848\pi\) | |||||||
\(632\) | −613.954 | − | 287.735i | −0.971446 | − | 0.455277i | ||||
\(633\) | 36.3435 | − | 335.743i | 0.0574147 | − | 0.530399i | ||||
\(634\) | −377.823 | + | 264.192i | −0.595935 | + | 0.416707i | ||||
\(635\) | 67.9321 | − | 186.642i | 0.106980 | − | 0.293924i | ||||
\(636\) | 703.573 | − | 673.483i | 1.10625 | − | 1.05893i | ||||
\(637\) | 59.5461 | − | 337.703i | 0.0934789 | − | 0.530145i | ||||
\(638\) | −30.7664 | + | 349.076i | −0.0482232 | + | 0.547140i | ||||
\(639\) | −503.386 | − | 20.7127i | −0.787772 | − | 0.0324142i | ||||
\(640\) | 73.9667 | − | 803.749i | 0.115573 | − | 1.25586i | ||||
\(641\) | −661.366 | − | 554.952i | −1.03177 | − | 0.865760i | −0.0407115 | − | 0.999171i | \(-0.512962\pi\) |
−0.991061 | + | 0.133411i | \(0.957407\pi\) | |||||||
\(642\) | −164.897 | + | 272.117i | −0.256849 | + | 0.423858i | ||||
\(643\) | 883.667 | − | 155.814i | 1.37429 | − | 0.242324i | 0.562751 | − | 0.826626i | \(-0.309743\pi\) |
0.811536 | + | 0.584302i | \(0.198632\pi\) | |||||||
\(644\) | −544.791 | − | 315.470i | −0.845949 | − | 0.489861i | ||||
\(645\) | 354.841 | + | 102.944i | 0.550141 | + | 0.159603i | ||||
\(646\) | −702.556 | − | 188.734i | −1.08755 | − | 0.292157i | ||||
\(647\) | 878.052i | 1.35711i | 0.734549 | + | 0.678556i | \(0.237394\pi\) | ||||
−0.734549 | + | 0.678556i | \(0.762606\pi\) | |||||||
\(648\) | −609.603 | − | 219.746i | −0.940745 | − | 0.339115i | ||||
\(649\) | −200.120 | −0.308352 | ||||||||
\(650\) | −92.2217 | + | 343.293i | −0.141880 | + | 0.528143i | ||||
\(651\) | 365.090 | − | 1258.44i | 0.560814 | − | 1.93309i | ||||
\(652\) | 224.239 | − | 387.242i | 0.343925 | − | 0.593930i | ||||
\(653\) | 52.9434 | + | 300.257i | 0.0810771 | + | 0.459811i | 0.998134 | + | 0.0610557i | \(0.0194467\pi\) |
−0.917057 | + | 0.398756i | \(0.869442\pi\) | |||||||
\(654\) | 993.098 | + | 601.796i | 1.51850 | + | 0.920177i | ||||
\(655\) | 328.145 | − | 391.068i | 0.500985 | − | 0.597051i | ||||
\(656\) | 118.776 | + | 683.895i | 0.181061 | + | 1.04252i | ||||
\(657\) | −206.165 | + | 107.981i | −0.313798 | + | 0.164355i | ||||
\(658\) | 63.0316 | + | 5.55540i | 0.0957926 | + | 0.00844286i | ||||
\(659\) | 985.857 | + | 173.833i | 1.49599 | + | 0.263783i | 0.860947 | − | 0.508694i | \(-0.169872\pi\) |
0.635042 | + | 0.772478i | \(0.280983\pi\) | |||||||
\(660\) | 211.749 | + | 221.210i | 0.320831 | + | 0.335166i | ||||
\(661\) | −944.242 | − | 343.676i | −1.42850 | − | 0.519933i | −0.492002 | − | 0.870594i | \(-0.663735\pi\) |
−0.936503 | + | 0.350661i | \(0.885957\pi\) | |||||||
\(662\) | 116.100 | + | 166.035i | 0.175377 | + | 0.250808i | ||||
\(663\) | 548.189 | + | 59.3404i | 0.826831 | + | 0.0895029i | ||||
\(664\) | 453.408 | + | 212.494i | 0.682844 | + | 0.320021i | ||||
\(665\) | −661.214 | − | 1145.26i | −0.994306 | − | 1.72219i | ||||
\(666\) | 495.515 | + | 155.219i | 0.744016 | + | 0.233062i | ||||
\(667\) | 670.416 | + | 387.065i | 1.00512 | + | 0.580307i | ||||
\(668\) | 223.116 | + | 81.5328i | 0.334006 | + | 0.122055i | ||||
\(669\) | −81.6862 | − | 121.921i | −0.122102 | − | 0.182243i | ||||
\(670\) | 368.545 | − | 789.022i | 0.550067 | − | 1.17764i | ||||
\(671\) | 271.291 | + | 323.312i | 0.404309 | + | 0.481836i | ||||
\(672\) | −634.241 | − | 558.419i | −0.943811 | − | 0.830980i | ||||
\(673\) | −557.788 | + | 203.018i | −0.828808 | + | 0.301662i | −0.721370 | − | 0.692550i | \(-0.756487\pi\) |
−0.107439 | + | 0.994212i | \(0.534265\pi\) | |||||||
\(674\) | −234.594 | + | 334.577i | −0.348063 | + | 0.496405i | ||||
\(675\) | −190.410 | + | 350.192i | −0.282089 | + | 0.518803i | ||||
\(676\) | 32.8121 | + | 90.5125i | 0.0485386 | + | 0.133894i | ||||
\(677\) | −419.692 | + | 152.755i | −0.619929 | + | 0.225636i | −0.632842 | − | 0.774281i | \(-0.718112\pi\) |
0.0129131 | + | 0.999917i | \(0.495890\pi\) | |||||||
\(678\) | 163.445 | − | 421.061i | 0.241070 | − | 0.621034i | ||||
\(679\) | −534.791 | − | 637.339i | −0.787615 | − | 0.938643i | ||||
\(680\) | −68.6055 | + | 767.114i | −0.100890 | + | 1.12811i | ||||
\(681\) | −467.567 | + | 951.139i | −0.686589 | + | 1.39668i | ||||
\(682\) | 387.985 | − | 103.693i | 0.568892 | − | 0.152042i | ||||
\(683\) | −740.219 | − | 427.366i | −1.08378 | − | 0.625718i | −0.151863 | − | 0.988402i | \(-0.548527\pi\) |
−0.931912 | + | 0.362683i | \(0.881861\pi\) | |||||||
\(684\) | −36.3632 | + | 856.911i | −0.0531626 | + | 1.25279i | ||||
\(685\) | −321.240 | − | 556.405i | −0.468964 | − | 0.812269i | ||||
\(686\) | −255.559 | + | 255.230i | −0.372535 | + | 0.372056i | ||||
\(687\) | −383.533 | + | 524.452i | −0.558272 | + | 0.763394i | ||||
\(688\) | −106.123 | − | 293.920i | −0.154248 | − | 0.427210i | ||||
\(689\) | 918.175 | + | 334.188i | 1.33262 | + | 0.485034i | ||||
\(690\) | 640.437 | − | 217.836i | 0.928170 | − | 0.315704i | ||||
\(691\) | −1014.01 | − | 178.797i | −1.46745 | − | 0.258750i | −0.617897 | − | 0.786259i | \(-0.712015\pi\) |
−0.849550 | + | 0.527509i | \(0.823126\pi\) | |||||||
\(692\) | 235.389 | − | 279.794i | 0.340157 | − | 0.404326i | ||||
\(693\) | 317.749 | − | 42.6440i | 0.458513 | − | 0.0615354i | ||||
\(694\) | 407.858 | − | 189.868i | 0.587691 | − | 0.273585i | ||||
\(695\) | 890.450 | − | 1061.20i | 1.28122 | − | 1.52690i | ||||
\(696\) | 780.795 | + | 685.671i | 1.12183 | + | 0.985160i | ||||
\(697\) | −115.014 | − | 652.277i | −0.165013 | − | 0.935836i | ||||
\(698\) | −56.8167 | − | 654.264i | −0.0813992 | − | 0.937341i | ||||
\(699\) | −50.6062 | + | 12.4506i | −0.0723980 | + | 0.0178120i | ||||
\(700\) | −398.633 | + | 333.620i | −0.569476 | + | 0.476600i | ||||
\(701\) | −164.190 | −0.234222 | −0.117111 | − | 0.993119i | \(-0.537363\pi\) | ||||
−0.117111 | + | 0.993119i | \(0.537363\pi\) | |||||||
\(702\) | −72.7902 | − | 646.003i | −0.103690 | − | 0.920232i | ||||
\(703\) | − | 687.280i | − | 0.977639i | ||||||
\(704\) | 45.9580 | − | 254.885i | 0.0652813 | − | 0.362053i | ||||
\(705\) | −49.0567 | + | 47.0797i | −0.0695840 | + | 0.0667797i | ||||
\(706\) | −5.30788 | − | 61.1221i | −0.00751825 | − | 0.0865752i | ||||
\(707\) | 1165.69 | − | 205.543i | 1.64879 | − | 0.290726i | ||||
\(708\) | −350.908 | + | 478.547i | −0.495633 | + | 0.675914i | ||||
\(709\) | −199.551 | − | 167.443i | −0.281454 | − | 0.236168i | 0.491121 | − | 0.871091i | \(-0.336587\pi\) |
−0.772575 | + | 0.634924i | \(0.781032\pi\) | |||||||
\(710\) | 640.035 | − | 297.952i | 0.901457 | − | 0.419651i | ||||
\(711\) | 163.228 | − | 745.120i | 0.229575 | − | 1.04799i | ||||
\(712\) | −47.9064 | − | 180.179i | −0.0672842 | − | 0.253060i | ||||
\(713\) | 154.057 | − | 873.698i | 0.216068 | − | 1.22538i | ||||
\(714\) | 606.560 | + | 531.283i | 0.849524 | + | 0.744094i | ||||
\(715\) | −105.072 | + | 288.682i | −0.146953 | + | 0.403751i | ||||
\(716\) | −1258.80 | − | 1.61923i | −1.75810 | − | 0.00226150i | ||||
\(717\) | −362.988 | + | 160.262i | −0.506259 | + | 0.223518i | ||||
\(718\) | −465.742 | + | 465.143i | −0.648666 | + | 0.647832i | ||||
\(719\) | 129.283 | − | 74.6416i | 0.179809 | − | 0.103813i | −0.407394 | − | 0.913253i | \(-0.633562\pi\) |
0.587203 | + | 0.809440i | \(0.300229\pi\) | |||||||
\(720\) | 900.277 | − | 118.466i | 1.25038 | − | 0.164536i | ||||
\(721\) | 285.722 | − | 494.885i | 0.396286 | − | 0.686387i | ||||
\(722\) | 399.203 | − | 106.691i | 0.552913 | − | 0.147771i | ||||
\(723\) | 51.4382 | + | 769.989i | 0.0711455 | + | 1.06499i | ||||
\(724\) | 711.072 | − | 409.319i | 0.982144 | − | 0.565358i | ||||
\(725\) | 489.663 | − | 410.876i | 0.675397 | − | 0.566725i | ||||
\(726\) | −393.217 | − | 489.325i | −0.541621 | − | 0.674001i | ||||
\(727\) | −18.1243 | − | 49.7962i | −0.0249303 | − | 0.0684954i | 0.926603 | − | 0.376041i | \(-0.122715\pi\) |
−0.951533 | + | 0.307545i | \(0.900492\pi\) | |||||||
\(728\) | 220.998 | − | 818.456i | 0.303569 | − | 1.12425i | ||||
\(729\) | 89.7091 | − | 723.459i | 0.123058 | − | 0.992400i | ||||
\(730\) | 187.230 | − | 267.026i | 0.256479 | − | 0.365789i | ||||
\(731\) | 101.983 | + | 280.197i | 0.139512 | + | 0.383306i | ||||
\(732\) | 1248.84 | − | 81.8140i | 1.70607 | − | 0.111768i | ||||
\(733\) | −68.7825 | + | 57.7154i | −0.0938370 | + | 0.0787386i | −0.688499 | − | 0.725237i | \(-0.741730\pi\) |
0.594662 | + | 0.803976i | \(0.297286\pi\) | |||||||
\(734\) | −161.010 | + | 344.709i | −0.219360 | + | 0.469631i | ||||
\(735\) | 35.9170 | + | 537.648i | 0.0488666 | + | 0.731494i | ||||
\(736\) | −467.616 | − | 329.674i | −0.635348 | − | 0.447927i | ||||
\(737\) | 139.719 | − | 242.000i | 0.189577 | − | 0.328358i | ||||
\(738\) | −720.898 | + | 300.183i | −0.976827 | + | 0.406753i | ||||
\(739\) | 190.957 | − | 110.249i | 0.258399 | − | 0.149187i | −0.365205 | − | 0.930927i | \(-0.619001\pi\) |
0.623604 | + | 0.781740i | \(0.285668\pi\) | |||||||
\(740\) | −716.739 | + | 125.430i | −0.968566 | + | 0.169500i | ||||
\(741\) | −787.144 | + | 347.531i | −1.06227 | + | 0.469003i | ||||
\(742\) | 818.818 | + | 1171.00i | 1.10353 | + | 1.57816i | ||||
\(743\) | −117.725 | + | 323.447i | −0.158445 | + | 0.435325i | −0.993359 | − | 0.115056i | \(-0.963295\pi\) |
0.834914 | + | 0.550381i | \(0.185518\pi\) | |||||||
\(744\) | 432.366 | − | 1109.61i | 0.581137 | − | 1.49141i | ||||
\(745\) | 127.068 | − | 720.636i | 0.170560 | − | 0.967296i | ||||
\(746\) | 252.082 | + | 22.2177i | 0.337911 | + | 0.0297824i | ||||
\(747\) | −120.545 | + | 550.275i | −0.161372 | + | 0.736647i | ||||
\(748\) | −43.2272 | + | 243.323i | −0.0577903 | + | 0.325298i | ||||
\(749\) | −357.587 | − | 300.051i | −0.477420 | − | 0.400603i | ||||
\(750\) | −8.21210 | + | 387.215i | −0.0109495 | + | 0.516287i | ||||
\(751\) | −577.725 | + | 101.868i | −0.769274 | + | 0.135644i | −0.544493 | − | 0.838765i | \(-0.683278\pi\) |
−0.224781 | + | 0.974409i | \(0.572167\pi\) | |||||||
\(752\) | 56.6076 | + | 10.1317i | 0.0752761 | + | 0.0134730i | ||||
\(753\) | −101.186 | + | 97.1079i | −0.134377 | + | 0.128961i | ||||
\(754\) | −270.462 | + | 1006.79i | −0.358702 | + | 1.33526i | ||||
\(755\) | 724.361i | 0.959419i | ||||||||
\(756\) | 455.195 | − | 834.609i | 0.602110 | − | 1.10398i | ||||
\(757\) | 352.312 | 0.465406 | 0.232703 | − | 0.972548i | \(-0.425243\pi\) | ||||
0.232703 | + | 0.972548i | \(0.425243\pi\) | |||||||
\(758\) | 196.412 | + | 52.7637i | 0.259118 | + | 0.0696091i | ||||
\(759\) | 210.779 | − | 51.8578i | 0.277706 | − | 0.0683238i | ||||
\(760\) | −505.827 | − | 1090.24i | −0.665562 | − | 1.43452i | ||||
\(761\) | 43.3833 | + | 246.039i | 0.0570083 | + | 0.323310i | 0.999954 | − | 0.00963779i | \(-0.00306785\pi\) |
−0.942945 | + | 0.332948i | \(0.891957\pi\) | |||||||
\(762\) | −91.0022 | − | 165.635i | −0.119425 | − | 0.217368i | ||||
\(763\) | −1095.05 | + | 1305.03i | −1.43518 | + | 1.71039i | ||||
\(764\) | 21.7907 | − | 122.658i | 0.0285218 | − | 0.160547i | ||||
\(765\) | −858.748 | + | 115.250i | −1.12255 | + | 0.150653i | ||||
\(766\) | 7.73124 | − | 87.7186i | 0.0100930 | − | 0.114515i | ||||
\(767\) | −586.288 | − | 103.378i | −0.764391 | − | 0.134783i | ||||
\(768\) | −528.920 | − | 556.837i | −0.688698 | − | 0.725049i | ||||
\(769\) | −1188.05 | − | 432.413i | −1.54492 | − | 0.562306i | −0.577703 | − | 0.816247i | \(-0.696051\pi\) |
−0.967220 | + | 0.253941i | \(0.918273\pi\) | |||||||
\(770\) | −368.171 | + | 257.443i | −0.478144 | + | 0.334342i | ||||
\(771\) | 403.837 | − | 552.216i | 0.523784 | − | 0.716234i | ||||
\(772\) | −762.060 | + | 133.361i | −0.987124 | + | 0.172748i | ||||
\(773\) | −748.700 | − | 1296.79i | −0.968564 | − | 1.67760i | −0.699719 | − | 0.714419i | \(-0.746691\pi\) |
−0.268845 | − | 0.963183i | \(-0.586642\pi\) | |||||||
\(774\) | 296.144 | − | 189.443i | 0.382615 | − | 0.244758i | ||||
\(775\) | −634.410 | − | 366.277i | −0.818593 | − | 0.472615i | ||||
\(776\) | −432.506 | − | 620.226i | −0.557353 | − | 0.799261i | ||||
\(777\) | −336.075 | + | 683.654i | −0.432529 | + | 0.879864i | ||||
\(778\) | −831.945 | − | 388.594i | −1.06934 | − | 0.499478i | ||||
\(779\) | 664.376 | + | 791.773i | 0.852858 | + | 1.01640i | ||||
\(780\) | 506.083 | + | 757.458i | 0.648824 | + | 0.971101i | ||||
\(781\) | 212.875 | − | 77.4800i | 0.272567 | − | 0.0992062i | ||||
\(782\) | 447.006 | + | 313.425i | 0.571619 | + | 0.400800i | ||||
\(783\) | −558.423 | + | 1027.02i | −0.713183 | + | 1.31165i | ||||
\(784\) | 349.874 | − | 292.048i | 0.446268 | − | 0.372511i | ||||
\(785\) | 107.224 | − | 39.0262i | 0.136591 | − | 0.0497149i | ||||
\(786\) | −74.1868 | − | 480.046i | −0.0943853 | − | 0.610746i | ||||
\(787\) | −346.942 | − | 413.469i | −0.440841 | − | 0.525373i | 0.499177 | − | 0.866500i | \(-0.333636\pi\) |
−0.940017 | + | 0.341127i | \(0.889191\pi\) | |||||||
\(788\) | −922.151 | + | 530.824i | −1.17024 | + | 0.673634i | ||||
\(789\) | 258.623 | + | 386.008i | 0.327786 | + | 0.489237i | ||||
\(790\) | 275.985 | + | 1032.65i | 0.349348 | + | 1.30715i | ||||
\(791\) | 573.863 | + | 331.320i | 0.725490 | + | 0.418862i | ||||
\(792\) | 291.085 | − | 12.8783i | 0.367532 | − | 0.0162605i | ||||
\(793\) | 627.779 | + | 1087.34i | 0.791651 | + | 1.37118i | ||||
\(794\) | −110.054 | − | 110.196i | −0.138607 | − | 0.138785i | ||||
\(795\) | −1526.48 | − | 165.239i | −1.92011 | − | 0.207848i | ||||
\(796\) | −119.130 | − | 0.153241i | −0.149661 | − | 0.000192513i | ||||
\(797\) | −311.665 | − | 113.437i | −0.391048 | − | 0.142330i | 0.139011 | − | 0.990291i | \(-0.455608\pi\) |
−0.530058 | + | 0.847961i | \(0.677830\pi\) | |||||||
\(798\) | −1234.26 | − | 244.726i | −1.54670 | − | 0.306674i | ||||
\(799\) | −54.0396 | − | 9.52863i | −0.0676340 | − | 0.0119257i | ||||
\(800\) | −387.859 | + | 269.727i | −0.484824 | + | 0.337159i | ||||
\(801\) | 185.801 | − | 97.3155i | 0.231962 | − | 0.121492i | ||||
\(802\) | 473.882 | + | 1017.95i | 0.590876 | + | 1.26927i | ||||
\(803\) | 67.2655 | − | 80.1639i | 0.0837678 | − | 0.0998306i | ||||
\(804\) | −333.699 | − | 758.453i | −0.415048 | − | 0.943349i | ||||
\(805\) | 172.335 | + | 977.362i | 0.214081 | + | 1.21411i | ||||
\(806\) | 1190.24 | − | 103.361i | 1.47672 | − | 0.128239i | ||||
\(807\) | −58.1929 | + | 200.587i | −0.0721101 | + | 0.248559i | ||||
\(808\) | 1071.85 | − | 91.6910i | 1.32655 | − | 0.113479i | ||||
\(809\) | 34.7466 | 0.0429501 | 0.0214750 | − | 0.999769i | \(-0.493164\pi\) | ||||
0.0214750 | + | 0.999769i | \(0.493164\pi\) | |||||||
\(810\) | 353.586 | + | 958.398i | 0.436526 | + | 1.18321i | ||||
\(811\) | − | 873.324i | − | 1.07685i | −0.842674 | − | 0.538424i | \(-0.819020\pi\) | ||
0.842674 | − | 0.538424i | \(-0.180980\pi\) | |||||||
\(812\) | −1169.09 | + | 978.419i | −1.43976 | + | 1.20495i | ||||
\(813\) | 685.109 | + | 198.759i | 0.842692 | + | 0.244475i | ||||
\(814\) | −232.606 | + | 20.1996i | −0.285756 | + | 0.0248153i | ||||
\(815\) | −694.717 | + | 122.497i | −0.852414 | + | 0.150304i | ||||
\(816\) | 506.059 | + | 530.033i | 0.620170 | + | 0.649550i | ||||
\(817\) | −356.448 | − | 299.096i | −0.436289 | − | 0.366090i | ||||
\(818\) | −315.781 | − | 678.334i | −0.386041 | − | 0.829259i | ||||
\(819\) | 952.932 | + | 39.2100i | 1.16353 | + | 0.0478754i | ||||
\(820\) | 704.460 | − | 837.353i | 0.859098 | − | 1.02116i | ||||
\(821\) | −210.789 | + | 1195.44i | −0.256747 | + | 1.45608i | 0.534802 | + | 0.844978i | \(0.320386\pi\) |
−0.791548 | + | 0.611106i | \(0.790725\pi\) | |||||||
\(822\) | −599.648 | − | 118.896i | −0.729499 | − | 0.144643i | ||||
\(823\) | 248.432 | − | 682.560i | 0.301861 | − | 0.829357i | −0.692316 | − | 0.721595i | \(-0.743409\pi\) |
0.994177 | − | 0.107762i | \(-0.0343684\pi\) | |||||||
\(824\) | 298.705 | − | 424.849i | 0.362507 | − | 0.515593i | ||||
\(825\) | 19.2890 | − | 178.192i | 0.0233806 | − | 0.215991i | ||||
\(826\) | −615.206 | − | 615.998i | −0.744802 | − | 0.745760i | ||||
\(827\) | 194.573 | − | 112.337i | 0.235276 | − | 0.135837i | −0.377728 | − | 0.925917i | \(-0.623294\pi\) |
0.613004 | + | 0.790080i | \(0.289961\pi\) | |||||||
\(828\) | 245.591 | − | 594.968i | 0.296608 | − | 0.718560i | ||||
\(829\) | −206.345 | + | 357.399i | −0.248908 | + | 0.431121i | −0.963223 | − | 0.268703i | \(-0.913405\pi\) |
0.714315 | + | 0.699824i | \(0.246738\pi\) | |||||||
\(830\) | −203.817 | − | 762.616i | −0.245562 | − | 0.918814i | ||||
\(831\) | 433.481 | − | 290.430i | 0.521637 | − | 0.349495i | ||||
\(832\) | 266.311 | − | 722.991i | 0.320085 | − | 0.868979i | ||||
\(833\) | −333.131 | + | 279.530i | −0.399917 | + | 0.335570i | ||||
\(834\) | −201.312 | − | 1302.65i | −0.241382 | − | 1.56193i | ||||
\(835\) | −128.080 | − | 351.898i | −0.153390 | − | 0.421434i | ||||
\(836\) | −131.435 | − | 362.564i | −0.157218 | − | 0.433689i | ||||
\(837\) | 1324.90 | + | 198.818i | 1.58291 | + | 0.237537i | ||||
\(838\) | 570.550 | + | 400.050i | 0.680847 | + | 0.477387i | ||||
\(839\) | 440.665 | + | 1210.72i | 0.525226 | + | 1.44305i | 0.864632 | + | 0.502406i | \(0.167552\pi\) |
−0.339406 | + | 0.940640i | \(0.610226\pi\) | |||||||
\(840\) | −29.9596 | + | 1331.83i | −0.0356662 | + | 1.58551i | ||||
\(841\) | 791.806 | − | 664.404i | 0.941506 | − | 0.790017i | ||||
\(842\) | −301.038 | − | 140.612i | −0.357528 | − | 0.166998i | ||||
\(843\) | −732.358 | − | 360.017i | −0.868752 | − | 0.427067i | ||||
\(844\) | 422.919 | + | 154.546i | 0.501089 | + | 0.183112i | ||||
\(845\) | 75.8877 | − | 131.441i | 0.0898079 | − | 0.155552i | ||||
\(846\) | 2.94262 | + | 64.6286i | 0.00347828 | + | 0.0763932i | ||||
\(847\) | 797.564 | − | 460.474i | 0.941634 | − | 0.543653i | ||||
\(848\) | 646.410 | + | 1126.30i | 0.762276 | + | 1.32818i | ||||
\(849\) | 1139.32 | + | 833.185i | 1.34195 | + | 0.981372i | ||||
\(850\) | 369.431 | − | 258.324i | 0.434625 | − | 0.303911i | ||||
\(851\) | −176.408 | + | 484.676i | −0.207295 | + | 0.569537i | ||||
\(852\) | 187.995 | − | 644.907i | 0.220652 | − | 0.756933i | ||||
\(853\) | −184.006 | + | 1043.55i | −0.215717 | + | 1.22339i | 0.663942 | + | 0.747784i | \(0.268882\pi\) |
−0.879658 | + | 0.475606i | \(0.842229\pi\) | |||||||
\(854\) | −161.202 | + | 1828.99i | −0.188761 | + | 2.14168i | ||||
\(855\) | 1070.62 | − | 825.794i | 1.25219 | − | 0.965841i | ||||
\(856\) | −299.404 | − | 300.561i | −0.349771 | − | 0.351123i | ||||
\(857\) | 362.506 | + | 304.178i | 0.422994 | + | 0.354934i | 0.829301 | − | 0.558803i | \(-0.188739\pi\) |
−0.406307 | + | 0.913737i | \(0.633184\pi\) | |||||||
\(858\) | 140.755 | + | 256.190i | 0.164050 | + | 0.298590i | ||||
\(859\) | 318.137 | − | 56.0961i | 0.370357 | − | 0.0653039i | 0.0146277 | − | 0.999893i | \(-0.495344\pi\) |
0.355729 | + | 0.934589i | \(0.384233\pi\) | |||||||
\(860\) | −246.863 | + | 426.312i | −0.287050 | + | 0.495712i | ||||
\(861\) | −273.700 | − | 1112.47i | −0.317886 | − | 1.29207i | ||||
\(862\) | 289.625 | + | 77.8044i | 0.335992 | + | 0.0902604i | ||||
\(863\) | 1003.38i | 1.16266i | 0.813668 | + | 0.581330i | \(0.197468\pi\) | ||||
−0.813668 | + | 0.581330i | \(0.802532\pi\) | |||||||
\(864\) | 479.618 | − | 718.653i | 0.555114 | − | 0.831774i | ||||
\(865\) | −576.415 | −0.666375 | ||||||||
\(866\) | −60.8153 | + | 226.383i | −0.0702256 | + | 0.261413i | ||||
\(867\) | 116.147 | + | 121.025i | 0.133965 | + | 0.139590i | ||||
\(868\) | 1511.92 | + | 875.500i | 1.74184 | + | 1.00864i | ||||
\(869\) | 59.5585 | + | 337.773i | 0.0685369 | + | 0.388692i | ||||
\(870\) | 34.7340 | − | 1637.77i | 0.0399241 | − | 1.88249i | ||||
\(871\) | 534.343 | − | 636.805i | 0.613482 | − | 0.731120i | ||||
\(872\) | −1096.91 | + | 1092.68i | −1.25792 | + | 1.25308i | ||||
\(873\) | 573.117 | − | 628.608i | 0.656492 | − | 0.720055i | ||||
\(874\) | −848.652 | − | 74.7975i | −0.970998 | − | 0.0855806i | ||||
\(875\) | −559.573 | − | 98.6678i | −0.639512 | − | 0.112763i | ||||
\(876\) | −73.7466 | − | 301.418i | −0.0841856 | − | 0.344085i | ||||
\(877\) | 375.169 | + | 136.550i | 0.427787 | + | 0.155702i | 0.546935 | − | 0.837175i | \(-0.315794\pi\) |
−0.119149 | + | 0.992876i | \(0.538017\pi\) | |||||||
\(878\) | 158.441 | + | 226.588i | 0.180457 | + | 0.258072i | ||||
\(879\) | 415.713 | + | 941.573i | 0.472939 | + | 1.07119i | ||||
\(880\) | −354.117 | + | 203.237i | −0.402406 | + | 0.230951i | ||||
\(881\) | 628.998 | + | 1089.46i | 0.713959 | + | 1.23661i | 0.963360 | + | 0.268213i | \(0.0864332\pi\) |
−0.249400 | + | 0.968401i | \(0.580233\pi\) | |||||||
\(882\) | 407.345 | + | 311.361i | 0.461842 | + | 0.353017i | ||||
\(883\) | −26.0807 | − | 15.0577i | −0.0295365 | − | 0.0170529i | 0.485159 | − | 0.874426i | \(-0.338762\pi\) |
−0.514696 | + | 0.857373i | \(0.672095\pi\) | |||||||
\(884\) | −252.338 | + | 690.527i | −0.285450 | + | 0.781139i | ||||
\(885\) | 933.415 | − | 62.3557i | 1.05471 | − | 0.0704584i | ||||
\(886\) | −453.927 | + | 971.818i | −0.512333 | + | 1.09686i | ||||
\(887\) | −208.670 | − | 248.683i | −0.235253 | − | 0.280364i | 0.635482 | − | 0.772115i | \(-0.280801\pi\) |
−0.870736 | + | 0.491752i | \(0.836357\pi\) | |||||||
\(888\) | −359.568 | + | 591.650i | −0.404919 | + | 0.666272i | ||||
\(889\) | 260.540 | − | 94.8287i | 0.293070 | − | 0.106669i | ||||
\(890\) | −168.736 | + | 240.650i | −0.189591 | + | 0.270394i | ||||
\(891\) | 86.4268 | + | 316.192i | 0.0969997 | + | 0.354873i | ||||
\(892\) | 183.960 | − | 66.6880i | 0.206233 | − | 0.0747623i | ||||
\(893\) | 80.4659 | − | 29.2872i | 0.0901074 | − | 0.0327964i | ||||
\(894\) | −436.140 | − | 542.739i | −0.487853 | − | 0.607091i | ||||
\(895\) | 1275.57 | + | 1520.17i | 1.42522 | + | 1.69851i | ||||
\(896\) | 925.856 | − | 642.099i | 1.03332 | − | 0.716628i | ||||
\(897\) | 644.304 | − | 43.0420i | 0.718288 | − | 0.0479844i | ||||
\(898\) | 882.115 | − | 235.754i | 0.982311 | − | 0.262532i | ||||
\(899\) | −1860.55 | − | 1074.19i | −2.06958 | − | 1.19487i | ||||
\(900\) | −392.288 | − | 358.584i | −0.435875 | − | 0.398426i | ||||
\(901\) | −619.566 | − | 1073.12i | −0.687642 | − | 1.19103i | ||||
\(902\) | 248.444 | − | 248.125i | 0.275437 | − | 0.275083i | ||||
\(903\) | 208.312 | + | 471.819i | 0.230689 | + | 0.522501i | ||||
\(904\) | 492.649 | + | 346.375i | 0.544966 | + | 0.383158i | ||||
\(905\) | −1215.43 | − | 442.379i | −1.34301 | − | 0.488816i | ||||
\(906\) | 518.469 | + | 454.125i | 0.572262 | + | 0.501241i | ||||
\(907\) | −1332.50 | − | 234.956i | −1.46913 | − | 0.259047i | −0.618905 | − | 0.785465i | \(-0.712424\pi\) |
−0.850226 | + | 0.526418i | \(0.823535\pi\) | |||||||
\(908\) | −1081.35 | − | 909.737i | −1.19092 | − | 1.00191i | ||||
\(909\) | 366.820 | + | 1153.30i | 0.403543 | + | 1.26876i | ||||
\(910\) | −1211.61 | + | 564.036i | −1.33144 | + | 0.619820i | ||||
\(911\) | 433.248 | − | 516.324i | 0.475574 | − | 0.566767i | −0.473914 | − | 0.880571i | \(-0.657159\pi\) |
0.949488 | + | 0.313805i | \(0.101604\pi\) | |||||||
\(912\) | −1097.47 | − | 321.452i | −1.20336 | − | 0.352470i | ||||
\(913\) | −43.9843 | − | 249.447i | −0.0481756 | − | 0.273217i | ||||
\(914\) | 100.278 | + | 1154.73i | 0.109713 | + | 1.26338i | ||||
\(915\) | −1366.12 | − | 1423.48i | −1.49302 | − | 1.55572i | ||||
\(916\) | −555.996 | − | 664.343i | −0.606982 | − | 0.725266i | ||||
\(917\) | 712.629 | 0.777131 | ||||||||
\(918\) | −455.885 | + | 686.912i | −0.496607 | + | 0.748270i | ||||
\(919\) | − | 1384.80i | − | 1.50685i | −0.657534 | − | 0.753425i | \(-0.728400\pi\) | ||
0.657534 | − | 0.753425i | \(-0.271600\pi\) | |||||||
\(920\) | 76.8772 | + | 898.678i | 0.0835622 | + | 0.976824i | ||||
\(921\) | −207.725 | − | 844.311i | −0.225543 | − | 0.916733i | ||||
\(922\) | −69.5747 | − | 801.177i | −0.0754606 | − | 0.868955i | ||||
\(923\) | 663.679 | − | 117.025i | 0.719046 | − | 0.126787i | ||||
\(924\) | −46.5500 | + | 424.922i | −0.0503788 | + | 0.459872i | ||||
\(925\) | 326.249 | + | 273.755i | 0.352702 | + | 0.295952i | ||||
\(926\) | 1531.08 | − | 712.757i | 1.65344 | − | 0.769716i | ||||
\(927\) | 540.350 | + | 222.233i | 0.582902 | + | 0.239734i | ||||
\(928\) | −1137.49 | + | 791.038i | −1.22574 | + | 0.852412i | ||||
\(929\) | 218.722 | − | 1240.43i | 0.235438 | − | 1.33523i | −0.606252 | − | 0.795272i | \(-0.707328\pi\) |
0.841690 | − | 0.539961i | \(-0.181561\pi\) | |||||||
\(930\) | −1777.36 | + | 604.544i | −1.91114 | + | 0.650047i | ||||
\(931\) | 232.102 | − | 637.694i | 0.249303 | − | 0.684956i | ||||
\(932\) | 0.0893834 | − | 69.4871i | 9.59049e−5 | − | 0.0745569i | ||||
\(933\) | −827.456 | − | 605.121i | −0.886877 | − | 0.648575i | ||||
\(934\) | 968.804 | − | 967.558i | 1.03726 | − | 1.03593i | ||||
\(935\) | 337.398 | − | 194.797i | 0.360853 | − | 0.208339i | ||||
\(936\) | 859.438 | + | 112.640i | 0.918203 | + | 0.120342i | ||||
\(937\) | −429.804 | + | 744.443i | −0.458703 | + | 0.794496i | −0.998893 | − | 0.0470467i | \(-0.985019\pi\) |
0.540190 | + | 0.841543i | \(0.318352\pi\) | |||||||
\(938\) | 1174.43 | − | 313.878i | 1.25206 | − | 0.334625i | ||||
\(939\) | 751.411 | + | 369.383i | 0.800225 | + | 0.393380i | ||||
\(940\) | −45.2277 | − | 78.5699i | −0.0481146 | − | 0.0835850i | ||||
\(941\) | −109.878 | + | 92.1984i | −0.116767 | + | 0.0979791i | −0.699302 | − | 0.714827i | \(-0.746506\pi\) |
0.582535 | + | 0.812806i | \(0.302061\pi\) | |||||||
\(942\) | 39.2884 | − | 101.213i | 0.0417074 | − | 0.107445i | ||||
\(943\) | −265.296 | − | 728.894i | −0.281332 | − | 0.772953i | ||||
\(944\) | −507.027 | − | 607.418i | −0.537105 | − | 0.643452i | ||||
\(945\) | −1468.78 | + | 297.911i | −1.55427 | + | 0.315250i | ||||
\(946\) | −90.7509 | + | 129.428i | −0.0959311 | + | 0.136816i | ||||
\(947\) | 302.546 | + | 831.238i | 0.319478 | + | 0.877759i | 0.990646 | + | 0.136454i | \(0.0435705\pi\) |
−0.671168 | + | 0.741305i | \(0.734207\pi\) | |||||||
\(948\) | 912.152 | + | 449.859i | 0.962186 | + | 0.474535i | ||||
\(949\) | 238.478 | − | 200.106i | 0.251294 | − | 0.210860i | ||||
\(950\) | −297.705 | + | 637.359i | −0.313373 | + | 0.670905i | ||||
\(951\) | 574.515 | − | 384.922i | 0.604116 | − | 0.404755i | ||||
\(952\) | −881.870 | + | 614.960i | −0.926334 | + | 0.645966i | ||||
\(953\) | −376.513 | + | 652.140i | −0.395082 | + | 0.684302i | −0.993112 | − | 0.117172i | \(-0.962617\pi\) |
0.598030 | + | 0.801474i | \(0.295951\pi\) | |||||||
\(954\) | −1075.27 | + | 989.004i | −1.12712 | + | 1.03669i | ||||
\(955\) | −170.081 | + | 98.1963i | −0.178095 | + | 0.102823i | ||||
\(956\) | −91.1993 | − | 521.136i | −0.0953968 | − | 0.545122i | ||||
\(957\) | 56.5694 | − | 522.590i | 0.0591112 | − | 0.546071i | ||||
\(958\) | −555.930 | − | 795.038i | −0.580303 | − | 0.829894i | ||||
\(959\) | 306.744 | − | 842.773i | 0.319859 | − | 0.878804i | ||||
\(960\) | −134.941 | + | 1203.17i | −0.140563 | + | 1.25331i | ||||
\(961\) | −260.665 | + | 1478.31i | −0.271244 | + | 1.53830i | ||||
\(962\) | −691.895 | − | 60.9814i | −0.719225 | − | 0.0633902i | ||||
\(963\) | 255.426 | − | 403.168i | 0.265240 | − | 0.418658i | ||||
\(964\) | −1013.08 | − | 179.977i | −1.05091 | − | 0.186698i | ||||
\(965\) | 934.275 | + | 783.950i | 0.968161 | + | 0.812383i | ||||
\(966\) | 807.599 | + | 489.388i | 0.836024 | + | 0.506613i | ||||
\(967\) | −1807.24 | + | 318.666i | −1.86892 | + | 0.329541i | −0.989272 | − | 0.146087i | \(-0.953332\pi\) |
−0.879646 | + | 0.475628i | \(0.842221\pi\) | |||||||
\(968\) | 759.249 | − | 352.262i | 0.784348 | − | 0.363907i | ||||
\(969\) | 1047.99 | + | 304.034i | 1.08151 | + | 0.313760i | ||||
\(970\) | −309.257 | + | 1151.20i | −0.318821 | + | 1.18680i | ||||
\(971\) | − | 1398.13i | − | 1.43989i | −0.694031 | − | 0.719945i | \(-0.744167\pi\) | ||
0.694031 | − | 0.719945i | \(-0.255833\pi\) | |||||||
\(972\) | 907.658 | + | 347.767i | 0.933804 | + | 0.357785i | ||||
\(973\) | 1933.78 | 1.98744 | ||||||||
\(974\) | −150.539 | − | 40.4407i | −0.154558 | − | 0.0415202i | ||||
\(975\) | 148.561 | − | 512.082i | 0.152371 | − | 0.525212i | ||||
\(976\) | −293.992 | + | 1642.59i | −0.301221 | + | 1.68298i | ||||
\(977\) | 27.4421 | + | 155.632i | 0.0280881 | + | 0.159296i | 0.995626 | − | 0.0934315i | \(-0.0297836\pi\) |
−0.967538 | + | 0.252727i | \(0.918673\pi\) | |||||||
\(978\) | −347.861 | + | 574.049i | −0.355686 | + | 0.586962i | ||||
\(979\) | −60.6214 | + | 72.2457i | −0.0619217 | + | 0.0737955i | ||||
\(980\) | −707.386 | − | 125.670i | −0.721823 | − | 0.128234i | ||||
\(981\) | −1471.37 | − | 932.185i | −1.49987 | − | 0.950239i | ||||
\(982\) | 71.0413 | − | 806.035i | 0.0723435 | − | 0.820809i | ||||
\(983\) | −972.425 | − | 171.465i | −0.989242 | − | 0.174430i | −0.344464 | − | 0.938800i | \(-0.611939\pi\) |
−0.644779 | + | 0.764369i | \(0.723050\pi\) | |||||||
\(984\) | −157.697 | − | 1029.19i | −0.160261 | − | 1.04592i | ||||
\(985\) | 1576.22 | + | 573.697i | 1.60022 | + | 0.582434i | ||||
\(986\) | 1083.44 | − | 757.597i | 1.09883 | − | 0.768354i | ||||
\(987\) | −94.3626 | − | 10.2146i | −0.0956055 | − | 0.0103491i | ||||
\(988\) | −197.767 | − | 1130.09i | −0.200169 | − | 1.14382i | ||||
\(989\) | 174.600 | + | 302.416i | 0.176542 | + | 0.305780i | ||||
\(990\) | −310.951 | − | 338.075i | −0.314092 | − | 0.341490i | ||||
\(991\) | 528.087 | + | 304.891i | 0.532883 | + | 0.307660i | 0.742190 | − | 0.670190i | \(-0.233787\pi\) |
−0.209307 | + | 0.977850i | \(0.567121\pi\) | |||||||
\(992\) | 1297.74 | + | 914.920i | 1.30820 | + | 0.922298i | ||||
\(993\) | −169.155 | − | 252.471i | −0.170347 | − | 0.254251i | ||||
\(994\) | 892.910 | + | 417.070i | 0.898300 | + | 0.419588i | ||||
\(995\) | 120.718 | + | 143.866i | 0.121324 | + | 0.144589i | ||||
\(996\) | −673.629 | − | 332.224i | −0.676335 | − | 0.333558i | ||||
\(997\) | 183.098 | − | 66.6423i | 0.183649 | − | 0.0668428i | −0.248559 | − | 0.968617i | \(-0.579957\pi\) |
0.432208 | + | 0.901774i | \(0.357735\pi\) | |||||||
\(998\) | −1180.18 | − | 827.505i | −1.18255 | − | 0.829163i | ||||
\(999\) | −738.488 | − | 247.586i | −0.739227 | − | 0.247834i |
(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 | 108.3.j.a.7.22 | ✓ | 204 | |
3.2 | odd | 2 | 324.3.j.a.19.13 | 204 | |||
4.3 | odd | 2 | inner | 108.3.j.a.7.29 | yes | 204 | |
12.11 | even | 2 | 324.3.j.a.19.6 | 204 | |||
27.4 | even | 9 | inner | 108.3.j.a.31.29 | yes | 204 | |
27.23 | odd | 18 | 324.3.j.a.307.6 | 204 | |||
108.23 | even | 18 | 324.3.j.a.307.13 | 204 | |||
108.31 | odd | 18 | inner | 108.3.j.a.31.22 | yes | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.3.j.a.7.22 | ✓ | 204 | 1.1 | even | 1 | trivial | |
108.3.j.a.7.29 | yes | 204 | 4.3 | odd | 2 | inner | |
108.3.j.a.31.22 | yes | 204 | 108.31 | odd | 18 | inner | |
108.3.j.a.31.29 | yes | 204 | 27.4 | even | 9 | inner | |
324.3.j.a.19.6 | 204 | 12.11 | even | 2 | |||
324.3.j.a.19.13 | 204 | 3.2 | odd | 2 | |||
324.3.j.a.307.6 | 204 | 27.23 | odd | 18 | |||
324.3.j.a.307.13 | 204 | 108.23 | even | 18 |