Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [324,3,Mod(19,324)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(324, 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("324.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 324 = 2^{2} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 324.j (of order \(18\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(8.82836056527\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 108) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 307.13 | ||
Character | \(\chi\) | \(=\) | 324.307 |
Dual form | 324.3.j.a.19.13 |
$q$-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 \(\left(\mathbb{Z}/324\mathbb{Z}\right)^\times\).
\(n\) | \(163\) | \(245\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.518880 | − | 1.93152i | −0.259440 | − | 0.965759i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −3.46153 | + | 2.00445i | −0.865382 | + | 0.501114i | ||||
\(5\) | −1.09499 | + | 6.21002i | −0.218999 | + | 1.24200i | 0.654832 | + | 0.755774i | \(0.272739\pi\) |
−0.873831 | + | 0.486230i | \(0.838372\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −5.65814 | − | 6.74311i | −0.808306 | − | 0.963301i | 0.191529 | − | 0.981487i | \(-0.438655\pi\) |
−0.999835 | + | 0.0181856i | \(0.994211\pi\) | |||||||
\(8\) | 5.66776 | + | 5.64593i | 0.708470 | + | 0.705741i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 12.5629 | − | 1.10726i | 1.25629 | − | 0.110726i | ||||
\(11\) | −3.98532 | + | 0.702720i | −0.362302 | + | 0.0638836i | −0.351836 | − | 0.936062i | \(-0.614443\pi\) |
−0.0104659 | + | 0.999945i | \(0.503331\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 11.3127 | − | 4.11749i | 0.870208 | − | 0.316730i | 0.131956 | − | 0.991256i | \(-0.457874\pi\) |
0.738251 | + | 0.674526i | \(0.235652\pi\) | |||||||
\(14\) | −10.0885 | + | 14.4277i | −0.720610 | + | 1.03055i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 7.96433 | − | 13.8769i | 0.497770 | − | 0.867309i | ||||
\(17\) | 7.63358 | − | 13.2217i | 0.449034 | − | 0.777750i | −0.549289 | − | 0.835632i | \(-0.685101\pi\) |
0.998323 | + | 0.0578824i | \(0.0184348\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 20.6326 | − | 11.9123i | 1.08593 | − | 0.626961i | 0.153438 | − | 0.988158i | \(-0.450965\pi\) |
0.932489 | + | 0.361198i | \(0.117632\pi\) | |||||||
\(20\) | −8.65735 | − | 23.6910i | −0.432868 | − | 1.18455i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.42522 | + | 7.33310i | 0.155692 | + | 0.333323i | ||||
\(23\) | 11.4927 | − | 13.6965i | 0.499684 | − | 0.595501i | −0.455969 | − | 0.889996i | \(-0.650707\pi\) |
0.955653 | + | 0.294495i | \(0.0951515\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −13.8730 | − | 5.04937i | −0.554921 | − | 0.201975i | ||||
\(26\) | −13.8229 | − | 19.7142i | −0.531652 | − | 0.758239i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 33.1021 | + | 12.0000i | 1.18222 | + | 0.428570i | ||||
\(29\) | 40.6859 | + | 14.8084i | 1.40296 | + | 0.510636i | 0.929056 | − | 0.369940i | \(-0.120622\pi\) |
0.473905 | + | 0.880576i | \(0.342844\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 31.8949 | − | 38.0109i | 1.02887 | − | 1.22616i | 0.0551316 | − | 0.998479i | \(-0.482442\pi\) |
0.973736 | − | 0.227678i | \(-0.0731134\pi\) | |||||||
\(32\) | −30.9361 | − | 8.18277i | −0.966753 | − | 0.255711i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −29.4990 | − | 7.88389i | −0.867617 | − | 0.231879i | ||||
\(35\) | 48.0705 | − | 27.7535i | 1.37344 | − | 0.792957i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −14.4238 | + | 24.9828i | −0.389833 | + | 0.675210i | −0.992427 | − | 0.122838i | \(-0.960800\pi\) |
0.602594 | + | 0.798048i | \(0.294134\pi\) | |||||||
\(38\) | −33.7146 | − | 33.6713i | −0.887226 | − | 0.886086i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −41.2675 | + | 29.0146i | −1.03169 | + | 0.725366i | ||||
\(41\) | −40.7670 | + | 14.8380i | −0.994316 | + | 0.361902i | −0.787390 | − | 0.616455i | \(-0.788568\pi\) |
−0.206926 | + | 0.978357i | \(0.566346\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −19.2340 | + | 3.39148i | −0.447303 | + | 0.0788716i | −0.392762 | − | 0.919640i | \(-0.628481\pi\) |
−0.0545406 | + | 0.998512i | \(0.517369\pi\) | |||||||
\(44\) | 12.3867 | − | 10.4209i | 0.281517 | − | 0.236838i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −32.4184 | − | 15.0916i | −0.704748 | − | 0.328078i | ||||
\(47\) | −2.31031 | − | 2.75332i | −0.0491555 | − | 0.0585812i | 0.740907 | − | 0.671608i | \(-0.234396\pi\) |
−0.790062 | + | 0.613027i | \(0.789952\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.94621 | + | 28.0514i | −0.100943 | + | 0.572477i | ||||
\(50\) | −2.55450 | + | 29.4160i | −0.0510901 | + | 0.588320i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −30.9059 | + | 36.9286i | −0.594344 | + | 0.710165i | ||||
\(53\) | −81.1632 | −1.53138 | −0.765690 | − | 0.643209i | \(-0.777602\pi\) | ||||
−0.765690 | + | 0.643209i | \(0.777602\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 25.5184i | − | 0.463971i | ||||||
\(56\) | 6.00214 | − | 70.1638i | 0.107181 | − | 1.25292i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 7.49168 | − | 86.2693i | 0.129167 | − | 1.48740i | ||||
\(59\) | 48.7001 | + | 8.58715i | 0.825426 | + | 0.145545i | 0.570377 | − | 0.821383i | \(-0.306797\pi\) |
0.255049 | + | 0.966928i | \(0.417908\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 79.8933 | − | 67.0384i | 1.30973 | − | 1.09899i | 0.321350 | − | 0.946961i | \(-0.395863\pi\) |
0.988376 | − | 0.152030i | \(-0.0485809\pi\) | |||||||
\(62\) | −89.9683 | − | 41.8825i | −1.45110 | − | 0.675524i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.246975 | + | 63.9995i | 0.00385898 | + | 0.999993i | ||||
\(65\) | 13.1823 | + | 74.7607i | 0.202805 | + | 1.15016i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 23.6170 | + | 64.8871i | 0.352492 | + | 0.968464i | 0.981567 | + | 0.191119i | \(0.0612116\pi\) |
−0.629075 | + | 0.777345i | \(0.716566\pi\) | |||||||
\(68\) | 0.0785545 | + | 61.0686i | 0.00115521 | + | 0.898067i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −78.5492 | − | 78.4483i | −1.12213 | − | 1.12069i | ||||
\(71\) | −48.4794 | − | 27.9896i | −0.682808 | − | 0.394219i | 0.118104 | − | 0.993001i | \(-0.462318\pi\) |
−0.800912 | + | 0.598782i | \(0.795652\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 12.9295 | + | 22.3946i | 0.177117 | + | 0.306776i | 0.940892 | − | 0.338707i | \(-0.109990\pi\) |
−0.763775 | + | 0.645483i | \(0.776656\pi\) | |||||||
\(74\) | 55.7389 | + | 14.8968i | 0.753229 | + | 0.201308i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −47.5428 | + | 82.5917i | −0.625563 | + | 1.08673i | ||||
\(77\) | 27.2880 | + | 22.8974i | 0.354390 | + | 0.297369i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 28.9877 | − | 79.6430i | 0.366933 | − | 1.00814i | −0.609589 | − | 0.792718i | \(-0.708665\pi\) |
0.976521 | − | 0.215421i | \(-0.0691125\pi\) | |||||||
\(80\) | 77.4552 | + | 64.6538i | 0.968190 | + | 0.808172i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 49.8130 | + | 71.0430i | 0.607476 | + | 0.866378i | ||||
\(83\) | 21.4076 | − | 58.8168i | 0.257922 | − | 0.708636i | −0.741373 | − | 0.671094i | \(-0.765825\pi\) |
0.999295 | − | 0.0375425i | \(-0.0119530\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 73.7486 | + | 61.8824i | 0.867631 | + | 0.728028i | ||||
\(86\) | 16.5309 | + | 35.3911i | 0.192219 | + | 0.411524i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −26.5554 | − | 18.5180i | −0.301765 | − | 0.210432i | ||||
\(89\) | 11.6524 | + | 20.1826i | 0.130926 | + | 0.226771i | 0.924034 | − | 0.382311i | \(-0.124872\pi\) |
−0.793108 | + | 0.609081i | \(0.791538\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −91.7735 | − | 52.9855i | −1.00850 | − | 0.582258i | ||||
\(92\) | −12.3284 | + | 70.4475i | −0.134004 | + | 0.765734i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −4.11931 | + | 5.89104i | −0.0438224 | + | 0.0626706i | ||||
\(95\) | 51.3827 | + | 141.173i | 0.540871 | + | 1.48603i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −16.4127 | − | 93.0811i | −0.169203 | − | 0.959599i | −0.944624 | − | 0.328154i | \(-0.893573\pi\) |
0.775421 | − | 0.631445i | \(-0.217538\pi\) | |||||||
\(98\) | 56.7482 | − | 5.00160i | 0.579063 | − | 0.0510368i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 58.1430 | − | 10.3293i | 0.581430 | − | 0.103293i | ||||
\(101\) | 103.010 | − | 86.4360i | 1.01990 | − | 0.855802i | 0.0302891 | − | 0.999541i | \(-0.490357\pi\) |
0.989616 | + | 0.143740i | \(0.0459128\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −63.9321 | − | 11.2730i | −0.620700 | − | 0.109446i | −0.145550 | − | 0.989351i | \(-0.546495\pi\) |
−0.475150 | + | 0.879905i | \(0.657606\pi\) | |||||||
\(104\) | 87.3647 | + | 40.5338i | 0.840045 | + | 0.389748i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 42.1140 | + | 156.768i | 0.397302 | + | 1.47894i | ||||
\(107\) | 53.0300i | 0.495608i | 0.968810 | + | 0.247804i | \(0.0797089\pi\) | ||||
−0.968810 | + | 0.247804i | \(0.920291\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 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 | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −138.637 | + | 24.8134i | −1.23783 | + | 0.221548i | ||||
\(113\) | 13.0720 | − | 74.1349i | 0.115681 | − | 0.656061i | −0.870729 | − | 0.491762i | \(-0.836353\pi\) |
0.986411 | − | 0.164299i | \(-0.0525360\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 72.4711 | + | 86.3677i | 0.630184 | + | 0.751024i | ||||
\(116\) | −170.518 | + | 30.2931i | −1.46998 | + | 0.261148i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −8.68332 | − | 98.5209i | −0.0735874 | − | 0.834923i | ||||
\(119\) | −132.348 | + | 23.3364i | −1.11216 | + | 0.196105i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −98.3138 | + | 35.7833i | −0.812511 | + | 0.295730i | ||||
\(122\) | −170.941 | − | 119.530i | −1.40116 | − | 0.979757i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −34.2140 | + | 195.508i | −0.275919 | + | 1.57667i | ||||
\(125\) | −32.2752 | + | 55.9023i | −0.258202 | + | 0.447218i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −27.2780 | + | 15.7489i | −0.214787 | + | 0.124007i | −0.603534 | − | 0.797337i | \(-0.706241\pi\) |
0.388747 | + | 0.921345i | \(0.372908\pi\) | |||||||
\(128\) | 123.488 | − | 33.6851i | 0.964751 | − | 0.263165i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 137.562 | − | 64.2538i | 1.05817 | − | 0.494260i | ||||
\(131\) | 52.0385 | − | 62.0171i | 0.397240 | − | 0.473413i | −0.529936 | − | 0.848038i | \(-0.677784\pi\) |
0.927176 | + | 0.374625i | \(0.122229\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −197.068 | − | 71.7269i | −1.48171 | − | 0.539300i | ||||
\(134\) | 113.076 | − | 79.2852i | 0.843852 | − | 0.591681i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 117.914 | − | 31.8390i | 0.867017 | − | 0.234111i | ||||
\(137\) | 95.7424 | + | 34.8474i | 0.698850 | + | 0.254360i | 0.666920 | − | 0.745130i | \(-0.267612\pi\) |
0.0319300 | + | 0.999490i | \(0.489835\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −141.211 | + | 168.289i | −1.01591 | + | 1.21071i | −0.0385168 | + | 0.999258i | \(0.512263\pi\) |
−0.977389 | + | 0.211451i | \(0.932181\pi\) | |||||||
\(140\) | −110.767 | + | 192.425i | −0.791190 | + | 1.37446i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −28.9074 | + | 108.162i | −0.203573 | + | 0.761704i | ||||
\(143\) | −42.1913 | + | 24.3592i | −0.295044 | + | 0.170344i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −136.512 | + | 236.445i | −0.941459 | + | 1.63065i | ||||
\(146\) | 36.5467 | − | 36.5938i | 0.250320 | − | 0.250642i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.148430 | − | 115.390i | −0.00100291 | − | 0.779665i | ||||
\(149\) | 109.046 | − | 39.6894i | 0.731850 | − | 0.266372i | 0.0509025 | − | 0.998704i | \(-0.483790\pi\) |
0.680948 | + | 0.732332i | \(0.261568\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 113.127 | − | 19.9473i | 0.749183 | − | 0.132101i | 0.213996 | − | 0.976835i | \(-0.431352\pi\) |
0.535188 | + | 0.844733i | \(0.320241\pi\) | |||||||
\(152\) | 184.196 | + | 48.9746i | 1.21182 | + | 0.322201i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 30.0675 | − | 64.5883i | 0.195243 | − | 0.419405i | ||||
\(155\) | 201.124 | + | 239.690i | 1.29757 | + | 1.54639i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.14219 | + | 17.8203i | −0.0200140 | + | 0.113505i | −0.993178 | − | 0.116607i | \(-0.962798\pi\) |
0.973164 | + | 0.230112i | \(0.0739093\pi\) | |||||||
\(158\) | −168.873 | − | 14.6650i | −1.06882 | − | 0.0928167i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 84.6900 | − | 183.154i | 0.529312 | − | 1.14471i | ||||
\(161\) | −157.385 | −0.977544 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − | 111.870i | − | 0.686322i | −0.939277 | − | 0.343161i | \(-0.888502\pi\) | ||
0.939277 | − | 0.343161i | \(-0.111498\pi\) | |||||||
\(164\) | 111.374 | − | 133.078i | 0.679109 | − | 0.811448i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −124.714 | − | 10.8302i | −0.751287 | − | 0.0652423i | ||||
\(167\) | 58.4844 | + | 10.3124i | 0.350206 | + | 0.0617508i | 0.345984 | − | 0.938240i | \(-0.387545\pi\) |
0.00422188 | + | 0.999991i | \(0.498656\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −18.4380 | + | 15.4713i | −0.109101 | + | 0.0915463i | ||||
\(170\) | 81.2603 | − | 174.556i | 0.478002 | − | 1.02680i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 59.7810 | − | 50.2934i | 0.347564 | − | 0.292404i | ||||
\(173\) | 15.8732 | + | 90.0212i | 0.0917524 | + | 0.520354i | 0.995694 | + | 0.0926984i | \(0.0295492\pi\) |
−0.903942 | + | 0.427656i | \(0.859340\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 44.4471 | + | 122.117i | 0.253983 | + | 0.697813i | ||||
\(176\) | −21.9888 | + | 60.9008i | −0.124936 | + | 0.346027i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 32.9368 | − | 32.9792i | 0.185038 | − | 0.185277i | ||||
\(179\) | −272.538 | − | 157.350i | −1.52256 | − | 0.879050i | −0.999644 | − | 0.0266652i | \(-0.991511\pi\) |
−0.522915 | − | 0.852385i | \(-0.675155\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −102.558 | − | 177.636i | −0.566621 | − | 0.981416i | −0.996897 | − | 0.0787186i | \(-0.974917\pi\) |
0.430276 | − | 0.902697i | \(-0.358416\pi\) | |||||||
\(182\) | −54.7229 | + | 204.755i | −0.300675 | + | 1.12503i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 142.468 | − | 12.7413i | 0.774280 | − | 0.0692464i | ||||
\(185\) | −139.350 | − | 116.928i | −0.753241 | − | 0.632044i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −21.1311 | + | 58.0572i | −0.113000 | + | 0.310466i | ||||
\(188\) | 13.5161 | + | 4.89977i | 0.0718940 | + | 0.0260626i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 246.016 | − | 172.499i | 1.29482 | − | 0.907887i | ||||
\(191\) | −10.6521 | + | 29.2664i | −0.0557702 | + | 0.153227i | −0.964449 | − | 0.264268i | \(-0.914870\pi\) |
0.908679 | + | 0.417495i | \(0.137092\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 148.161 | + | 124.322i | 0.767673 | + | 0.644154i | 0.940112 | − | 0.340866i | \(-0.110720\pi\) |
−0.172439 | + | 0.985020i | \(0.555165\pi\) | |||||||
\(194\) | −171.272 | + | 79.9994i | −0.882843 | + | 0.412368i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −39.1062 | − | 107.015i | −0.199522 | − | 0.545995i | ||||
\(197\) | −133.002 | − | 230.367i | −0.675139 | − | 1.16938i | −0.976428 | − | 0.215842i | \(-0.930750\pi\) |
0.301289 | − | 0.953533i | \(-0.402583\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 25.7924 | + | 14.8913i | 0.129610 | + | 0.0748305i | 0.563403 | − | 0.826182i | \(-0.309492\pi\) |
−0.433793 | + | 0.901013i | \(0.642825\pi\) | |||||||
\(200\) | −50.1206 | − | 106.945i | −0.250603 | − | 0.534723i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −220.403 | − | 154.116i | −1.09110 | − | 0.762953i | ||||
\(203\) | −130.351 | − | 358.138i | −0.642125 | − | 1.76422i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −47.5045 | − | 269.411i | −0.231729 | − | 1.31420i | ||||
\(206\) | 11.3992 | + | 129.335i | 0.0553359 | + | 0.627842i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 32.9599 | − | 189.779i | 0.158461 | − | 0.912398i | ||||
\(209\) | −73.8567 | + | 61.9731i | −0.353381 | + | 0.296522i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −110.858 | − | 19.5472i | −0.525393 | − | 0.0926409i | −0.0953402 | − | 0.995445i | \(-0.530394\pi\) |
−0.430053 | + | 0.902804i | \(0.641505\pi\) | |||||||
\(212\) | 280.948 | − | 162.688i | 1.32523 | − | 0.767396i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 102.428 | − | 27.5162i | 0.478638 | − | 0.128581i | ||||
\(215\) | − | 123.157i | − | 0.572825i | ||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −436.777 | −2.01280 | ||||||||
\(218\) | −100.421 | − | 373.816i | −0.460648 | − | 1.71475i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 51.1505 | + | 88.3326i | 0.232502 | + | 0.401512i | ||||
\(221\) | 31.9160 | − | 181.005i | 0.144416 | − | 0.819026i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −31.4443 | − | 37.4738i | −0.141006 | − | 0.168044i | 0.690920 | − | 0.722931i | \(-0.257206\pi\) |
−0.831925 | + | 0.554887i | \(0.812761\pi\) | |||||||
\(224\) | 119.864 | + | 254.905i | 0.535105 | + | 1.13797i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −149.976 | + | 13.2184i | −0.663609 | + | 0.0584884i | ||||
\(227\) | −347.917 | + | 61.3471i | −1.53267 | + | 0.270251i | −0.875399 | − | 0.483401i | \(-0.839401\pi\) |
−0.657273 | + | 0.753652i | \(0.728290\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 203.515 | − | 74.0734i | 0.888712 | − | 0.323465i | 0.142992 | − | 0.989724i | \(-0.454328\pi\) |
0.745720 | + | 0.666259i | \(0.232106\pi\) | |||||||
\(230\) | 129.217 | − | 184.794i | 0.561813 | − | 0.803452i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 146.990 | + | 313.640i | 0.633579 | + | 1.35190i | ||||
\(233\) | −8.68589 | + | 15.0444i | −0.0372785 | + | 0.0645682i | −0.884063 | − | 0.467368i | \(-0.845202\pi\) |
0.846784 | + | 0.531937i | \(0.178536\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 19.6279 | − | 11.3322i | 0.0835231 | − | 0.0482221i | ||||
\(236\) | −185.789 | + | 67.8926i | −0.787243 | + | 0.287680i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 113.747 | + | 243.523i | 0.477930 | + | 1.02321i | ||||
\(239\) | −85.0177 | + | 101.320i | −0.355722 | + | 0.423934i | −0.913996 | − | 0.405724i | \(-0.867020\pi\) |
0.558273 | + | 0.829657i | \(0.311464\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 241.722 | + | 87.9795i | 1.00299 | + | 0.365060i | 0.790739 | − | 0.612154i | \(-0.209697\pi\) |
0.212256 | + | 0.977214i | \(0.431919\pi\) | |||||||
\(242\) | 120.129 | + | 171.328i | 0.496402 | + | 0.707966i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −142.177 | + | 392.198i | −0.582693 | + | 1.60737i | ||||
\(245\) | −168.783 | − | 61.4321i | −0.688912 | − | 0.250743i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 184.362 | − | 219.714i | 0.746406 | − | 0.889532i | ||||
\(248\) | 395.379 | − | 35.3601i | 1.59427 | − | 0.142581i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 124.723 | + | 33.3335i | 0.498893 | + | 0.133334i | ||||
\(251\) | −40.4851 | + | 23.3741i | −0.161295 | + | 0.0931237i | −0.578475 | − | 0.815700i | \(-0.696352\pi\) |
0.417180 | + | 0.908824i | \(0.363019\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −36.1775 | + | 62.6612i | −0.142994 | + | 0.247673i | ||||
\(254\) | 44.5734 | + | 44.5161i | 0.175486 | + | 0.175260i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −129.139 | − | 221.041i | −0.504449 | − | 0.863441i | ||||
\(257\) | 214.289 | − | 77.9949i | 0.833810 | − | 0.303482i | 0.110388 | − | 0.993889i | \(-0.464791\pi\) |
0.723422 | + | 0.690407i | \(0.242568\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 250.074 | − | 44.0947i | 0.965535 | − | 0.170250i | ||||
\(260\) | −195.485 | − | 232.363i | −0.751867 | − | 0.893703i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −146.789 | − | 68.3338i | −0.560263 | − | 0.260816i | ||||
\(263\) | −99.5544 | − | 118.644i | −0.378534 | − | 0.451119i | 0.542817 | − | 0.839851i | \(-0.317358\pi\) |
−0.921351 | + | 0.388732i | \(0.872913\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 88.8732 | − | 504.025i | 0.335371 | − | 1.90198i | ||||
\(266\) | −36.2870 | + | 417.858i | −0.136417 | + | 1.57089i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −211.814 | − | 177.269i | −0.790350 | − | 0.661452i | ||||
\(269\) | −69.6193 | −0.258808 | −0.129404 | − | 0.991592i | \(-0.541306\pi\) | ||||
−0.129404 | + | 0.991592i | \(0.541306\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 237.786i | 0.877438i | 0.898624 | + | 0.438719i | \(0.144568\pi\) | ||||
−0.898624 | + | 0.438719i | \(0.855432\pi\) | |||||||
\(272\) | −122.681 | − | 211.233i | −0.451034 | − | 0.776592i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 17.6295 | − | 203.010i | 0.0643412 | − | 0.740912i | ||||
\(275\) | 58.8367 | + | 10.3745i | 0.213952 | + | 0.0377255i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −133.236 | + | 111.798i | −0.480995 | + | 0.403603i | −0.850786 | − | 0.525512i | \(-0.823874\pi\) |
0.369791 | + | 0.929115i | \(0.379429\pi\) | |||||||
\(278\) | 398.324 | + | 185.430i | 1.43282 | + | 0.667013i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 429.146 | + | 114.102i | 1.53266 | + | 0.407508i | ||||
\(281\) | 47.2360 | + | 267.889i | 0.168100 | + | 0.953341i | 0.945811 | + | 0.324719i | \(0.105270\pi\) |
−0.777711 | + | 0.628622i | \(0.783619\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 160.917 | + | 442.115i | 0.568610 | + | 1.56224i | 0.806675 | + | 0.590995i | \(0.201265\pi\) |
−0.238065 | + | 0.971249i | \(0.576513\pi\) | |||||||
\(284\) | 223.916 | − | 0.288031i | 0.788438 | − | 0.00101419i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 68.9424 | + | 68.8538i | 0.241057 | + | 0.240748i | ||||
\(287\) | 330.719 | + | 190.941i | 1.15233 | + | 0.665299i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 27.9569 | + | 48.4228i | 0.0967367 | + | 0.167553i | ||||
\(290\) | 527.531 | + | 140.988i | 1.81907 | + | 0.486165i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −89.6449 | − | 51.6029i | −0.307003 | − | 0.176722i | ||||
\(293\) | −262.820 | − | 220.532i | −0.896996 | − | 0.752669i | 0.0726053 | − | 0.997361i | \(-0.476869\pi\) |
−0.969601 | + | 0.244692i | \(0.921313\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −106.653 | + | 293.026i | −0.361535 | + | 0.993308i | ||||
\(296\) | −222.802 | + | 60.1605i | −0.752708 | + | 0.203245i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −133.242 | − | 190.030i | −0.447122 | − | 0.637684i | ||||
\(299\) | 73.6187 | − | 202.266i | 0.246216 | − | 0.676474i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 131.698 | + | 110.508i | 0.437535 | + | 0.367135i | ||||
\(302\) | −97.2278 | − | 208.156i | −0.321946 | − | 0.689258i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.980677 | − | 381.191i | −0.00322591 | − | 1.25392i | ||||
\(305\) | 328.827 | + | 569.545i | 1.07812 | + | 1.86736i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −251.000 | − | 144.915i | −0.817589 | − | 0.472035i | 0.0319956 | − | 0.999488i | \(-0.489814\pi\) |
−0.849584 | + | 0.527453i | \(0.823147\pi\) | |||||||
\(308\) | −140.355 | − | 24.5623i | −0.455698 | − | 0.0797476i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 358.606 | − | 512.844i | 1.15679 | − | 1.65434i | ||||
\(311\) | 116.870 | + | 321.097i | 0.375787 | + | 1.03247i | 0.973085 | + | 0.230446i | \(0.0740187\pi\) |
−0.597298 | + | 0.802019i | \(0.703759\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 48.4649 | + | 274.858i | 0.154840 | + | 0.878141i | 0.958932 | + | 0.283636i | \(0.0915408\pi\) |
−0.804092 | + | 0.594505i | \(0.797348\pi\) | |||||||
\(314\) | 36.0506 | − | 3.17738i | 0.114811 | − | 0.0101191i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 59.2991 | + | 333.791i | 0.187656 | + | 1.05630i | ||||
\(317\) | 176.584 | − | 148.172i | 0.557048 | − | 0.467419i | −0.320271 | − | 0.947326i | \(-0.603774\pi\) |
0.877319 | + | 0.479907i | \(0.159330\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −172.552 | − | 30.4257i | −0.540917 | − | 0.0953782i | ||||
\(320\) | −397.709 | − | 68.5454i | −1.24284 | − | 0.214204i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 81.6638 | + | 303.991i | 0.253614 | + | 0.944072i | ||||
\(323\) | − | 363.733i | − | 1.12611i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −177.732 | −0.546868 | ||||||||
\(326\) | −216.080 | + | 58.0474i | −0.662821 | + | 0.178059i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −314.831 | − | 146.069i | −0.959852 | − | 0.445334i | ||||
\(329\) | −5.49387 | + | 31.1573i | −0.0166987 | + | 0.0947030i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −65.1143 | − | 77.6002i | −0.196720 | − | 0.234442i | 0.658663 | − | 0.752438i | \(-0.271122\pi\) |
−0.855383 | + | 0.517997i | \(0.826678\pi\) | |||||||
\(332\) | 43.7927 | + | 246.506i | 0.131906 | + | 0.742489i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −10.4279 | − | 118.315i | −0.0312212 | − | 0.354236i | ||||
\(335\) | −428.810 | + | 75.6108i | −1.28003 | + | 0.225704i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −191.992 | + | 69.8794i | −0.569709 | + | 0.207357i | −0.610782 | − | 0.791799i | \(-0.709145\pi\) |
0.0410724 | + | 0.999156i | \(0.486923\pi\) | |||||||
\(338\) | 39.4503 | + | 27.5856i | 0.116717 | + | 0.0816141i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −379.323 | − | 66.3819i | −1.11566 | − | 0.195241i | ||||
\(341\) | −100.400 | + | 173.899i | −0.294430 | + | 0.509967i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −156.397 | + | 90.2957i | −0.455967 | + | 0.263253i | ||||
\(344\) | −128.162 | − | 89.3719i | −0.372564 | − | 0.259802i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 165.641 | − | 77.3696i | 0.478732 | − | 0.223612i | ||||
\(347\) | −144.591 | + | 172.317i | −0.416688 | + | 0.496589i | −0.933033 | − | 0.359791i | \(-0.882848\pi\) |
0.516345 | + | 0.856381i | \(0.327292\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 308.560 | + | 112.307i | 0.884127 | + | 0.321796i | 0.743874 | − | 0.668320i | \(-0.232986\pi\) |
0.140253 | + | 0.990116i | \(0.455208\pi\) | |||||||
\(350\) | 212.809 | − | 149.215i | 0.608026 | − | 0.426328i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 129.041 | + | 10.8716i | 0.366592 | + | 0.0308851i | ||||
\(353\) | −28.8261 | − | 10.4918i | −0.0816603 | − | 0.0297219i | 0.300867 | − | 0.953666i | \(-0.402724\pi\) |
−0.382527 | + | 0.923944i | \(0.624946\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 226.900 | − | 270.409i | 0.639156 | − | 0.761716i | ||||
\(356\) | −80.7903 | − | 46.5058i | −0.226939 | − | 0.130634i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −162.510 | + | 608.058i | −0.453937 | + | 1.69849i | ||||
\(359\) | 285.024 | − | 164.559i | 0.793939 | − | 0.458381i | −0.0474081 | − | 0.998876i | \(-0.515096\pi\) |
0.841348 | + | 0.540494i | \(0.181763\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 103.304 | − | 178.927i | 0.286159 | − | 0.495643i | ||||
\(362\) | −289.892 | + | 290.265i | −0.800807 | + | 0.801838i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 423.883 | − | 0.545255i | 1.16451 | − | 0.00149795i | ||||
\(365\) | −153.229 | + | 55.7707i | −0.419805 | + | 0.152797i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −187.339 | + | 33.0330i | −0.510461 | + | 0.0900081i | −0.422946 | − | 0.906155i | \(-0.639004\pi\) |
−0.0875156 | + | 0.996163i | \(0.527893\pi\) | |||||||
\(368\) | −98.5338 | − | 268.568i | −0.267755 | − | 0.729803i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −153.543 | + | 329.828i | −0.414981 | + | 0.891427i | ||||
\(371\) | 459.233 | + | 547.292i | 1.23782 | + | 1.47518i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 21.9716 | − | 124.607i | 0.0589052 | − | 0.334068i | −0.941086 | − | 0.338166i | \(-0.890193\pi\) |
0.999992 | + | 0.00409830i | \(0.00130453\pi\) | |||||||
\(374\) | 123.103 | + | 10.6903i | 0.329153 | + | 0.0285838i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 2.45077 | − | 28.6490i | 0.00651800 | − | 0.0761940i | ||||
\(377\) | 521.241 | 1.38260 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 101.688i | − | 0.268305i | −0.990961 | − | 0.134153i | \(-0.957169\pi\) | ||
0.990961 | − | 0.134153i | \(-0.0428312\pi\) | |||||||
\(380\) | −460.837 | − | 385.679i | −1.21273 | − | 1.01495i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 62.0558 | + | 5.38896i | 0.162450 | + | 0.0141072i | ||||
\(383\) | −43.3604 | − | 7.64562i | −0.113213 | − | 0.0199624i | 0.116755 | − | 0.993161i | \(-0.462751\pi\) |
−0.229967 | + | 0.973198i | \(0.573862\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −172.073 | + | 144.387i | −0.446944 | + | 0.375030i | ||||
\(386\) | 163.252 | − | 350.683i | 0.422932 | − | 0.908506i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 243.390 | + | 289.304i | 0.627293 | + | 0.745629i | ||||
\(389\) | −79.7241 | − | 452.138i | −0.204946 | − | 1.16231i | −0.897524 | − | 0.440965i | \(-0.854636\pi\) |
0.692578 | − | 0.721343i | \(-0.256475\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −93.3611 | − | 256.508i | −0.238775 | − | 0.656029i | ||||
\(392\) | −186.410 | + | 131.062i | −0.475536 | + | 0.334343i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −375.946 | + | 376.429i | −0.954176 | + | 0.955405i | ||||
\(395\) | 462.843 | + | 267.223i | 1.17176 | + | 0.676513i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 38.9350 | + | 67.4374i | 0.0980731 | + | 0.169868i | 0.910887 | − | 0.412656i | \(-0.135399\pi\) |
−0.812814 | + | 0.582523i | \(0.802065\pi\) | |||||||
\(398\) | 15.3796 | − | 57.5453i | 0.0386421 | − | 0.144586i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −180.559 | + | 152.300i | −0.451398 | + | 0.380751i | ||||
\(401\) | 430.076 | + | 360.877i | 1.07251 | + | 0.899943i | 0.995278 | − | 0.0970705i | \(-0.0309472\pi\) |
0.0772323 | + | 0.997013i | \(0.475392\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 204.308 | − | 561.332i | 0.506969 | − | 1.39288i | ||||
\(404\) | −183.316 | + | 505.680i | −0.453753 | + | 1.25168i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −624.112 | + | 437.607i | −1.53722 | + | 1.07785i | ||||
\(407\) | 39.9276 | − | 109.700i | 0.0981023 | − | 0.269534i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 286.590 | + | 240.478i | 0.700710 | + | 0.587966i | 0.921976 | − | 0.387248i | \(-0.126574\pi\) |
−0.221265 | + | 0.975214i | \(0.571019\pi\) | |||||||
\(410\) | −495.724 | + | 231.548i | −1.20908 | + | 0.564751i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 243.899 | − | 89.1274i | 0.591987 | − | 0.216329i | ||||
\(413\) | −217.648 | − | 376.978i | −0.526993 | − | 0.912779i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 341.812 | + | 197.345i | 0.823644 | + | 0.475531i | ||||
\(416\) | −383.663 | + | 34.8098i | −0.922268 | + | 0.0836774i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 158.025 | + | 110.499i | 0.378050 | + | 0.264351i | ||||
\(419\) | 119.164 | + | 327.401i | 0.284402 | + | 0.781388i | 0.996824 | + | 0.0796365i | \(0.0253760\pi\) |
−0.712422 | + | 0.701751i | \(0.752402\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 28.8481 | + | 163.606i | 0.0685227 | + | 0.388612i | 0.999710 | + | 0.0240712i | \(0.00766283\pi\) |
−0.931188 | + | 0.364541i | \(0.881226\pi\) | |||||||
\(422\) | 19.7661 | + | 224.267i | 0.0468392 | + | 0.531438i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −460.013 | − | 458.241i | −1.08494 | − | 1.08076i | ||||
\(425\) | −172.662 | + | 144.881i | −0.406264 | + | 0.340896i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −904.095 | − | 159.416i | −2.11732 | − | 0.373340i | ||||
\(428\) | −106.296 | − | 183.565i | −0.248356 | − | 0.428890i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −237.881 | + | 63.9039i | −0.553211 | + | 0.148614i | ||||
\(431\) | 149.947i | 0.347904i | 0.984754 | + | 0.173952i | \(0.0556538\pi\) | ||||
−0.984754 | + | 0.173952i | \(0.944346\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −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 | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −669.925 | + | 387.931i | −1.53653 | + | 0.889751i | ||||
\(437\) | 73.9691 | − | 419.499i | 0.169266 | − | 0.959953i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −88.8615 | − | 105.901i | −0.202418 | − | 0.241232i | 0.655280 | − | 0.755386i | \(-0.272551\pi\) |
−0.857698 | + | 0.514154i | \(0.828106\pi\) | |||||||
\(440\) | 144.075 | − | 144.632i | 0.327443 | − | 0.328709i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −366.175 | + | 32.2735i | −0.828450 | + | 0.0730169i | ||||
\(443\) | 528.154 | − | 93.1279i | 1.19222 | − | 0.210221i | 0.457888 | − | 0.889010i | \(-0.348606\pi\) |
0.734334 | + | 0.678789i | \(0.237495\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −138.094 | + | 50.2620i | −0.310323 | + | 0.112948i | ||||
\(446\) | −56.0655 | + | 80.1796i | −0.125707 | + | 0.179775i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 430.158 | − | 363.784i | 0.960175 | − | 0.812017i | ||||
\(449\) | −228.269 | + | 395.373i | −0.508394 | + | 0.880564i | 0.491559 | + | 0.870844i | \(0.336427\pi\) |
−0.999953 | + | 0.00971998i | \(0.996906\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 152.043 | − | 87.7818i | 0.337123 | − | 0.194638i | ||||
\(452\) | 103.351 | + | 282.822i | 0.228653 | + | 0.625712i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 299.020 | + | 640.175i | 0.658635 | + | 1.41008i | ||||
\(455\) | 429.532 | − | 511.897i | 0.944027 | − | 1.12505i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −544.589 | − | 198.214i | −1.19166 | − | 0.433729i | −0.331354 | − | 0.943506i | \(-0.607505\pi\) |
−0.860306 | + | 0.509778i | \(0.829728\pi\) | |||||||
\(458\) | −248.674 | − | 354.658i | −0.542956 | − | 0.774362i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −423.981 | − | 153.699i | −0.921698 | − | 0.334128i | ||||
\(461\) | −377.847 | − | 137.525i | −0.819624 | − | 0.298319i | −0.102031 | − | 0.994781i | \(-0.532534\pi\) |
−0.717593 | + | 0.696463i | \(0.754756\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 542.788 | − | 646.870i | 1.17233 | − | 1.39713i | 0.271786 | − | 0.962358i | \(-0.412386\pi\) |
0.900542 | − | 0.434769i | \(-0.143170\pi\) | |||||||
\(464\) | 529.531 | − | 446.656i | 1.14123 | − | 0.962621i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 33.5655 | + | 8.97071i | 0.0720289 | + | 0.0192504i | ||||
\(467\) | −592.887 | + | 342.304i | −1.26957 | + | 0.732984i | −0.974906 | − | 0.222618i | \(-0.928540\pi\) |
−0.294660 | + | 0.955602i | \(0.595207\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 303.912 | − | 526.392i | 0.648001 | − | 1.12237i | ||||
\(470\) | −32.0729 | − | 32.0316i | −0.0682401 | − | 0.0681524i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 227.538 | + | 323.627i | 0.482073 | + | 0.685651i | ||||
\(473\) | 74.2705 | − | 27.0323i | 0.157020 | − | 0.0571507i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −346.386 | + | 61.0772i | −0.729234 | + | 0.128584i | ||||
\(476\) | 411.348 | − | 346.064i | 0.864176 | − | 0.727026i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 239.816 | + | 111.640i | 0.501706 | + | 0.233557i | ||||
\(479\) | −311.792 | − | 371.580i | −0.650924 | − | 0.775740i | 0.335129 | − | 0.942172i | \(-0.391220\pi\) |
−0.986053 | + | 0.166432i | \(0.946775\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −60.3060 | + | 342.012i | −0.125376 | + | 0.711045i | ||||
\(482\) | 44.5094 | − | 512.541i | 0.0923431 | − | 1.06336i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 268.590 | − | 320.930i | 0.554938 | − | 0.663079i | ||||
\(485\) | 596.007 | 1.22888 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 77.9383i | 0.160038i | 0.996793 | + | 0.0800188i | \(0.0254980\pi\) | ||||
−0.996793 | + | 0.0800188i | \(0.974502\pi\) | |||||||
\(488\) | 831.310 | + | 71.1142i | 1.70350 | + | 0.145726i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −31.0789 | + | 357.884i | −0.0634263 | + | 0.730376i | ||||
\(491\) | −398.433 | − | 70.2545i | −0.811473 | − | 0.143085i | −0.247511 | − | 0.968885i | \(-0.579613\pi\) |
−0.563962 | + | 0.825801i | \(0.690724\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 506.372 | − | 424.897i | 1.02712 | − | 0.861860i | ||||
\(494\) | −520.044 | − | 242.094i | −1.05272 | − | 0.490068i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −273.453 | − | 745.335i | −0.551317 | − | 1.50269i | ||||
\(497\) | 85.5663 | + | 485.271i | 0.172166 | + | 0.976399i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 246.492 | + | 677.231i | 0.493971 | + | 1.35718i | 0.897017 | + | 0.441996i | \(0.145729\pi\) |
−0.403046 | + | 0.915180i | \(0.632048\pi\) | |||||||
\(500\) | −0.332133 | − | 258.201i | −0.000664265 | − | 0.516403i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 66.1543 | + | 66.0693i | 0.131782 | + | 0.131612i | ||||
\(503\) | −204.980 | − | 118.346i | −0.407516 | − | 0.235279i | 0.282206 | − | 0.959354i | \(-0.408934\pi\) |
−0.689722 | + | 0.724074i | \(0.742267\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 423.973 | + | 734.343i | 0.839551 | + | 1.45415i | ||||
\(506\) | 139.803 | + | 37.3638i | 0.276291 | + | 0.0738414i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 62.8554 | − | 109.193i | 0.123731 | − | 0.214947i | ||||
\(509\) | 472.945 | + | 396.848i | 0.929165 | + | 0.779662i | 0.975667 | − | 0.219256i | \(-0.0703630\pi\) |
−0.0465023 | + | 0.998918i | \(0.514807\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 77.8522 | − | 213.897i | 0.152353 | − | 0.418586i | ||||
\(512\) | −359.937 | + | 364.128i | −0.703002 | + | 0.711188i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −261.839 | − | 373.433i | −0.509414 | − | 0.726524i | ||||
\(515\) | 140.011 | − | 384.676i | 0.271865 | − | 0.746943i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 11.1421 | + | 9.34935i | 0.0215515 | + | 0.0180839i | ||||
\(518\) | −214.928 | − | 460.142i | −0.414919 | − | 0.888304i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −347.379 | + | 498.152i | −0.668037 | + | 0.957985i | ||||
\(521\) | −188.649 | − | 326.750i | −0.362090 | − | 0.627159i | 0.626214 | − | 0.779651i | \(-0.284603\pi\) |
−0.988305 | + | 0.152492i | \(0.951270\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 718.669 | + | 414.924i | 1.37413 | + | 0.793353i | 0.991445 | − | 0.130527i | \(-0.0416669\pi\) |
0.382683 | + | 0.923880i | \(0.375000\pi\) | |||||||
\(524\) | −55.8222 | + | 318.982i | −0.106531 | + | 0.608745i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −177.507 | + | 253.853i | −0.337466 | + | 0.482611i | ||||
\(527\) | −259.098 | − | 711.865i | −0.491647 | − | 1.35079i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 36.3485 | + | 206.142i | 0.0687117 | + | 0.389683i | ||||
\(530\) | −1019.65 | + | 89.8685i | −1.92386 | + | 0.169563i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 825.929 | − | 146.729i | 1.55250 | − | 0.275807i | ||||
\(533\) | −400.089 | + | 335.715i | −0.750637 | + | 0.629859i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −329.318 | − | 58.0676i | −0.615547 | − | 0.108538i | ||||
\(536\) | −232.492 | + | 501.104i | −0.433755 | + | 0.934895i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 36.1241 | + | 134.471i | 0.0671452 | + | 0.249946i | ||||
\(539\) | − | 115.270i | − | 0.213858i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 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 | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −344.344 | + | 346.566i | −0.632985 | + | 0.637069i | ||||
\(545\) | −211.919 | + | 1201.85i | −0.388843 | + | 2.20524i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 202.576 | + | 241.421i | 0.370341 | + | 0.441355i | 0.918741 | − | 0.394861i | \(-0.129207\pi\) |
−0.548400 | + | 0.836216i | \(0.684763\pi\) | |||||||
\(548\) | −401.265 | + | 71.2861i | −0.732235 | + | 0.130084i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −10.4907 | − | 119.027i | −0.0190740 | − | 0.216413i | ||||
\(551\) | 1015.86 | − | 179.123i | 1.84366 | − | 0.325087i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −701.058 | + | 255.164i | −1.26774 | + | 0.461418i | ||||
\(554\) | 285.073 | + | 199.337i | 0.514573 | + | 0.359815i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 151.478 | − | 865.586i | 0.272443 | − | 1.55681i | ||||
\(557\) | 197.912 | − | 342.794i | 0.355318 | − | 0.615429i | −0.631854 | − | 0.775087i | \(-0.717706\pi\) |
0.987172 | + | 0.159659i | \(0.0510393\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −203.624 | + | 117.563i | −0.364266 | + | 0.210309i | ||||
\(560\) | −2.28481 | − | 888.109i | −0.00408002 | − | 1.58591i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 492.922 | − | 230.239i | 0.877086 | − | 0.409679i | ||||
\(563\) | −14.0883 | + | 16.7898i | −0.0250236 | + | 0.0298219i | −0.778411 | − | 0.627755i | \(-0.783974\pi\) |
0.753388 | + | 0.657577i | \(0.228418\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 446.065 | + | 162.355i | 0.789496 | + | 0.287353i | ||||
\(566\) | 770.457 | − | 540.219i | 1.36123 | − | 0.954450i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −116.742 | − | 432.349i | −0.205532 | − | 0.761178i | ||||
\(569\) | −71.8483 | − | 26.1506i | −0.126271 | − | 0.0459589i | 0.278112 | − | 0.960549i | \(-0.410291\pi\) |
−0.404383 | + | 0.914590i | \(0.632514\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 551.758 | − | 657.560i | 0.966301 | − | 1.15159i | −0.0221043 | − | 0.999756i | \(-0.507037\pi\) |
0.988406 | − | 0.151837i | \(-0.0485190\pi\) | |||||||
\(572\) | 97.2195 | − | 168.890i | 0.169964 | − | 0.295263i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 197.202 | − | 737.866i | 0.343558 | − | 1.28548i | ||||
\(575\) | −228.598 | + | 131.981i | −0.397561 | + | 0.229532i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 358.886 | − | 621.609i | 0.621986 | − | 1.07731i | −0.367129 | − | 0.930170i | \(-0.619659\pi\) |
0.989115 | − | 0.147142i | \(-0.0470075\pi\) | |||||||
\(578\) | 79.0232 | − | 79.1249i | 0.136718 | − | 0.136894i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −1.40479 | − | 1092.09i | −0.00242205 | − | 1.88292i | ||||
\(581\) | −517.735 | + | 188.440i | −0.891110 | + | 0.324338i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 323.461 | − | 57.0350i | 0.554822 | − | 0.0978301i | ||||
\(584\) | −53.1569 | + | 199.927i | −0.0910221 | + | 0.342340i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −289.589 | + | 622.071i | −0.494180 | + | 1.06155i | ||||
\(587\) | 296.445 | + | 353.290i | 0.505017 | + | 0.601856i | 0.956970 | − | 0.290186i | \(-0.0937170\pi\) |
−0.451953 | + | 0.892042i | \(0.649273\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 205.281 | − | 1164.20i | 0.348524 | − | 1.97658i | ||||
\(590\) | 621.325 | + | 53.9563i | 1.05309 | + | 0.0914513i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 231.809 | + | 399.129i | 0.391568 | + | 0.674205i | ||||
\(593\) | −680.046 | −1.14679 | −0.573395 | − | 0.819279i | \(-0.694374\pi\) | ||||
−0.573395 | + | 0.819279i | \(0.694374\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | − | 847.434i | − | 1.42426i | ||||||
\(596\) | −297.909 | + | 355.963i | −0.499847 | + | 0.597253i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −428.879 | − | 37.2441i | −0.717189 | − | 0.0622812i | ||||
\(599\) | 401.294 | + | 70.7590i | 0.669941 | + | 0.118129i | 0.498265 | − | 0.867025i | \(-0.333971\pi\) |
0.171676 | + | 0.985153i | \(0.445082\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −95.1408 | + | 79.8326i | −0.158304 | + | 0.132833i | −0.718499 | − | 0.695528i | \(-0.755171\pi\) |
0.560195 | + | 0.828361i | \(0.310726\pi\) | |||||||
\(602\) | 145.112 | − | 311.717i | 0.241050 | − | 0.517803i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −351.608 | + | 295.805i | −0.582132 | + | 0.489744i | ||||
\(605\) | −114.562 | − | 649.713i | −0.189359 | − | 1.07391i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 72.4290 | + | 198.997i | 0.119323 | + | 0.327837i | 0.984947 | − | 0.172858i | \(-0.0553001\pi\) |
−0.865624 | + | 0.500695i | \(0.833078\pi\) | |||||||
\(608\) | −735.768 | + | 199.687i | −1.21015 | + | 0.328432i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 929.465 | − | 930.662i | 1.52371 | − | 1.52568i | ||||
\(611\) | −37.4725 | − | 21.6348i | −0.0613299 | − | 0.0354088i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −348.189 | − | 603.082i | −0.568009 | − | 0.983820i | −0.996763 | − | 0.0803988i | \(-0.974381\pi\) |
0.428754 | − | 0.903421i | \(-0.358953\pi\) | |||||||
\(614\) | −149.667 | + | 560.004i | −0.243757 | + | 0.912058i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 25.3850 | + | 283.843i | 0.0412094 | + | 0.460784i | ||||
\(617\) | −164.966 | − | 138.423i | −0.267368 | − | 0.224349i | 0.499240 | − | 0.866464i | \(-0.333613\pi\) |
−0.766608 | + | 0.642115i | \(0.778057\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −275.355 | + | 756.532i | −0.444839 | + | 1.22218i | 0.491435 | + | 0.870914i | \(0.336472\pi\) |
−0.936274 | + | 0.351270i | \(0.885750\pi\) | |||||||
\(620\) | −1176.64 | − | 426.549i | −1.89781 | − | 0.687983i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 559.563 | − | 392.347i | 0.899619 | − | 0.630783i | ||||
\(623\) | 70.1624 | − | 192.770i | 0.112620 | − | 0.309421i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −594.548 | − | 498.885i | −0.951277 | − | 0.798216i | ||||
\(626\) | 505.746 | − | 236.229i | 0.807901 | − | 0.377363i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −24.8431 | − | 67.9837i | −0.0395591 | − | 0.108254i | ||||
\(629\) | 220.211 | + | 381.416i | 0.350096 | + | 0.606385i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −834.435 | − | 481.761i | −1.32240 | − | 0.763488i | −0.338289 | − | 0.941042i | \(-0.609848\pi\) |
−0.984111 | + | 0.177554i | \(0.943182\pi\) | |||||||
\(632\) | 613.954 | − | 287.735i | 0.971446 | − | 0.455277i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −377.823 | − | 264.192i | −0.595935 | − | 0.416707i | ||||
\(635\) | −67.9321 | − | 186.642i | −0.106980 | − | 0.293924i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 59.5461 | + | 337.703i | 0.0934789 | + | 0.530145i | ||||
\(638\) | 30.7664 | + | 349.076i | 0.0482232 | + | 0.547140i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 73.9667 | + | 803.749i | 0.115573 | + | 1.25586i | ||||
\(641\) | 661.366 | − | 554.952i | 1.03177 | − | 0.865760i | 0.0407115 | − | 0.999171i | \(-0.487038\pi\) |
0.991061 | + | 0.133411i | \(0.0425931\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 883.667 | + | 155.814i | 1.37429 | + | 0.242324i | 0.811536 | − | 0.584302i | \(-0.198632\pi\) |
0.562751 | + | 0.826626i | \(0.309743\pi\) | |||||||
\(644\) | 544.791 | − | 315.470i | 0.845949 | − | 0.489861i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −702.556 | + | 188.734i | −1.08755 | + | 0.292157i | ||||
\(647\) | 878.052i | 1.35711i | 0.734549 | + | 0.678556i | \(0.237394\pi\) | ||||
−0.734549 | + | 0.678556i | \(0.762606\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −200.120 | −0.308352 | ||||||||
\(650\) | 92.2217 | + | 343.293i | 0.141880 | + | 0.528143i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 224.239 | + | 387.242i | 0.343925 | + | 0.593930i | ||||
\(653\) | −52.9434 | + | 300.257i | −0.0810771 | + | 0.459811i | 0.917057 | + | 0.398756i | \(0.130558\pi\) |
−0.998134 | + | 0.0610557i | \(0.980553\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 328.145 | + | 391.068i | 0.500985 | + | 0.597051i | ||||
\(656\) | −118.776 | + | 683.895i | −0.181061 | + | 1.04252i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 63.0316 | − | 5.55540i | 0.0957926 | − | 0.00844286i | ||||
\(659\) | −985.857 | + | 173.833i | −1.49599 | + | 0.263783i | −0.860947 | − | 0.508694i | \(-0.830128\pi\) |
−0.635042 | + | 0.772478i | \(0.719017\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −944.242 | + | 343.676i | −1.42850 | + | 0.519933i | −0.936503 | − | 0.350661i | \(-0.885957\pi\) |
−0.492002 | + | 0.870594i | \(0.663735\pi\) | |||||||
\(662\) | −116.100 | + | 166.035i | −0.175377 | + | 0.250808i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 453.408 | − | 212.494i | 0.682844 | − | 0.320021i | ||||
\(665\) | 661.214 | − | 1145.26i | 0.994306 | − | 1.72219i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 670.416 | − | 387.065i | 1.00512 | − | 0.580307i | ||||
\(668\) | −223.116 | + | 81.5328i | −0.334006 | + | 0.122055i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 368.545 | + | 789.022i | 0.550067 | + | 1.17764i | ||||
\(671\) | −271.291 | + | 323.312i | −0.404309 | + | 0.481836i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −557.788 | − | 203.018i | −0.828808 | − | 0.301662i | −0.107439 | − | 0.994212i | \(-0.534265\pi\) |
−0.721370 | + | 0.692550i | \(0.756487\pi\) | |||||||
\(674\) | 234.594 | + | 334.577i | 0.348063 | + | 0.496405i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 32.8121 | − | 90.5125i | 0.0485386 | − | 0.133894i | ||||
\(677\) | 419.692 | + | 152.755i | 0.619929 | + | 0.225636i | 0.632842 | − | 0.774281i | \(-0.281888\pi\) |
−0.0129131 | + | 0.999917i | \(0.504110\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −534.791 | + | 637.339i | −0.787615 | + | 0.938643i | ||||
\(680\) | 68.6055 | + | 767.114i | 0.100890 | + | 1.12811i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 387.985 | + | 103.693i | 0.568892 | + | 0.152042i | ||||
\(683\) | 740.219 | − | 427.366i | 1.08378 | − | 0.625718i | 0.151863 | − | 0.988402i | \(-0.451473\pi\) |
0.931912 | + | 0.362683i | \(0.118139\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −321.240 | + | 556.405i | −0.468964 | + | 0.812269i | ||||
\(686\) | 255.559 | + | 255.230i | 0.372535 | + | 0.372056i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −106.123 | + | 293.920i | −0.154248 | + | 0.427210i | ||||
\(689\) | −918.175 | + | 334.188i | −1.33262 | + | 0.485034i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −1014.01 | + | 178.797i | −1.46745 | + | 0.258750i | −0.849550 | − | 0.527509i | \(-0.823126\pi\) |
−0.617897 | + | 0.786259i | \(0.712015\pi\) | |||||||
\(692\) | −235.389 | − | 279.794i | −0.340157 | − | 0.404326i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 407.858 | + | 189.868i | 0.587691 | + | 0.273585i | ||||
\(695\) | −890.450 | − | 1061.20i | −1.28122 | − | 1.52690i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −115.014 | + | 652.277i | −0.165013 | + | 0.935836i | ||||
\(698\) | 56.8167 | − | 654.264i | 0.0813992 | − | 0.937341i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −398.633 | − | 333.620i | −0.569476 | − | 0.476600i | ||||
\(701\) | 164.190 | 0.234222 | 0.117111 | − | 0.993119i | \(-0.462637\pi\) | ||||
0.117111 | + | 0.993119i | \(0.462637\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 687.280i | 0.977639i | ||||||||
\(704\) | −45.9580 | − | 254.885i | −0.0652813 | − | 0.362053i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −5.30788 | + | 61.1221i | −0.00751825 | + | 0.0865752i | ||||
\(707\) | −1165.69 | − | 205.543i | −1.64879 | − | 0.290726i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −199.551 | + | 167.443i | −0.281454 | + | 0.236168i | −0.772575 | − | 0.634924i | \(-0.781032\pi\) |
0.491121 | + | 0.871091i | \(0.336587\pi\) | |||||||
\(710\) | −640.035 | − | 297.952i | −0.901457 | − | 0.419651i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −47.9064 | + | 180.179i | −0.0672842 | + | 0.253060i | ||||
\(713\) | −154.057 | − | 873.698i | −0.216068 | − | 1.22538i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −105.072 | − | 288.682i | −0.146953 | − | 0.403751i | ||||
\(716\) | 1258.80 | − | 1.61923i | 1.75810 | − | 0.00226150i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −465.742 | − | 465.143i | −0.648666 | − | 0.647832i | ||||
\(719\) | −129.283 | − | 74.6416i | −0.179809 | − | 0.103813i | 0.407394 | − | 0.913253i | \(-0.366438\pi\) |
−0.587203 | + | 0.809440i | \(0.699771\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 285.722 | + | 494.885i | 0.396286 | + | 0.686387i | ||||
\(722\) | −399.203 | − | 106.691i | −0.552913 | − | 0.147771i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 711.072 | + | 409.319i | 0.982144 | + | 0.565358i | ||||
\(725\) | −489.663 | − | 410.876i | −0.675397 | − | 0.566725i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −18.1243 | + | 49.7962i | −0.0249303 | + | 0.0684954i | −0.951533 | − | 0.307545i | \(-0.900492\pi\) |
0.926603 | + | 0.376041i | \(0.122715\pi\) | |||||||
\(728\) | −220.998 | − | 818.456i | −0.303569 | − | 1.12425i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 187.230 | + | 267.026i | 0.256479 | + | 0.365789i | ||||
\(731\) | −101.983 | + | 280.197i | −0.139512 | + | 0.383306i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −68.7825 | − | 57.7154i | −0.0938370 | − | 0.0787386i | 0.594662 | − | 0.803976i | \(-0.297286\pi\) |
−0.688499 | + | 0.725237i | \(0.741730\pi\) | |||||||
\(734\) | 161.010 | + | 344.709i | 0.219360 | + | 0.469631i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −467.616 | + | 329.674i | −0.635348 | + | 0.447927i | ||||
\(737\) | −139.719 | − | 242.000i | −0.189577 | − | 0.328358i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 190.957 | + | 110.249i | 0.258399 | + | 0.149187i | 0.623604 | − | 0.781740i | \(-0.285668\pi\) |
−0.365205 | + | 0.930927i | \(0.619001\pi\) | |||||||
\(740\) | 716.739 | + | 125.430i | 0.968566 | + | 0.169500i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 818.818 | − | 1171.00i | 1.10353 | − | 1.57816i | ||||
\(743\) | 117.725 | + | 323.447i | 0.158445 | + | 0.435325i | 0.993359 | − | 0.115056i | \(-0.0367047\pi\) |
−0.834914 | + | 0.550381i | \(0.814482\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 127.068 | + | 720.636i | 0.170560 | + | 0.967296i | ||||
\(746\) | −252.082 | + | 22.2177i | −0.337911 | + | 0.0297824i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −43.2272 | − | 243.323i | −0.0577903 | − | 0.325298i | ||||
\(749\) | 357.587 | − | 300.051i | 0.477420 | − | 0.400603i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −577.725 | − | 101.868i | −0.769274 | − | 0.135644i | −0.224781 | − | 0.974409i | \(-0.572167\pi\) |
−0.544493 | + | 0.838765i | \(0.683278\pi\) | |||||||
\(752\) | −56.6076 | + | 10.1317i | −0.0752761 | + | 0.0134730i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −270.462 | − | 1006.79i | −0.358702 | − | 1.33526i | ||||
\(755\) | 724.361i | 0.959419i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 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 | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −505.827 | + | 1090.24i | −0.665562 | + | 1.43452i | ||||
\(761\) | −43.3833 | + | 246.039i | −0.0570083 | + | 0.323310i | −0.999954 | − | 0.00963779i | \(-0.996932\pi\) |
0.942945 | + | 0.332948i | \(0.108043\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1095.05 | − | 1305.03i | −1.43518 | − | 1.71039i | ||||
\(764\) | −21.7907 | − | 122.658i | −0.0285218 | − | 0.160547i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 7.73124 | + | 87.7186i | 0.0100930 | + | 0.114515i | ||||
\(767\) | 586.288 | − | 103.378i | 0.764391 | − | 0.134783i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −1188.05 | + | 432.413i | −1.54492 | + | 0.562306i | −0.967220 | − | 0.253941i | \(-0.918273\pi\) |
−0.577703 | + | 0.816247i | \(0.696051\pi\) | |||||||
\(770\) | 368.171 | + | 257.443i | 0.478144 | + | 0.334342i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −762.060 | − | 133.361i | −0.987124 | − | 0.172748i | ||||
\(773\) | 748.700 | − | 1296.79i | 0.968564 | − | 1.67760i | 0.268845 | − | 0.963183i | \(-0.413358\pi\) |
0.699719 | − | 0.714419i | \(-0.253309\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −634.410 | + | 366.277i | −0.818593 | + | 0.472615i | ||||
\(776\) | 432.506 | − | 620.226i | 0.557353 | − | 0.799261i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −831.945 | + | 388.594i | −1.06934 | + | 0.499478i | ||||
\(779\) | −664.376 | + | 791.773i | −0.852858 | + | 1.01640i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 212.875 | + | 77.4800i | 0.272567 | + | 0.0992062i | ||||
\(782\) | −447.006 | + | 313.425i | −0.571619 | + | 0.400800i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 349.874 | + | 292.048i | 0.446268 | + | 0.372511i | ||||
\(785\) | −107.224 | − | 39.0262i | −0.136591 | − | 0.0497149i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −346.942 | + | 413.469i | −0.440841 | + | 0.525373i | −0.940017 | − | 0.341127i | \(-0.889191\pi\) |
0.499177 | + | 0.866500i | \(0.333636\pi\) | |||||||
\(788\) | 922.151 | + | 530.824i | 1.17024 | + | 0.673634i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 275.985 | − | 1032.65i | 0.349348 | − | 1.30715i | ||||
\(791\) | −573.863 | + | 331.320i | −0.725490 | + | 0.418862i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 627.779 | − | 1087.34i | 0.791651 | − | 1.37118i | ||||
\(794\) | 110.054 | − | 110.196i | 0.138607 | − | 0.138785i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −119.130 | + | 0.153241i | −0.149661 | + | 0.000192513i | ||||
\(797\) | 311.665 | − | 113.437i | 0.391048 | − | 0.142330i | −0.139011 | − | 0.990291i | \(-0.544392\pi\) |
0.530058 | + | 0.847961i | \(0.322170\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −54.0396 | + | 9.52863i | −0.0676340 | + | 0.0119257i | ||||
\(800\) | 387.859 | + | 269.727i | 0.484824 | + | 0.337159i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 473.882 | − | 1017.95i | 0.590876 | − | 1.26927i | ||||
\(803\) | −67.2655 | − | 80.1639i | −0.0837678 | − | 0.0998306i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 172.335 | − | 977.362i | 0.214081 | − | 1.21411i | ||||
\(806\) | −1190.24 | − | 103.361i | −1.47672 | − | 0.128239i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 1071.85 | + | 91.6910i | 1.32655 | + | 0.113479i | ||||
\(809\) | −34.7466 | −0.0429501 | −0.0214750 | − | 0.999769i | \(-0.506836\pi\) | ||||
−0.0214750 | + | 0.999769i | \(0.506836\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 873.324i | 1.07685i | 0.842674 | + | 0.538424i | \(0.180980\pi\) | ||||
−0.842674 | + | 0.538424i | \(0.819020\pi\) | |||||||
\(812\) | 1169.09 | + | 978.419i | 1.43976 | + | 1.20495i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −232.606 | − | 20.1996i | −0.285756 | − | 0.0248153i | ||||
\(815\) | 694.717 | + | 122.497i | 0.852414 | + | 0.150304i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −356.448 | + | 299.096i | −0.436289 | + | 0.366090i | ||||
\(818\) | 315.781 | − | 678.334i | 0.386041 | − | 0.829259i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 704.460 | + | 837.353i | 0.859098 | + | 1.02116i | ||||
\(821\) | 210.789 | + | 1195.44i | 0.256747 | + | 1.45608i | 0.791548 | + | 0.611106i | \(0.209275\pi\) |
−0.534802 | + | 0.844978i | \(0.679614\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 248.432 | + | 682.560i | 0.301861 | + | 0.829357i | 0.994177 | + | 0.107762i | \(0.0343684\pi\) |
−0.692316 | + | 0.721595i | \(0.743409\pi\) | |||||||
\(824\) | −298.705 | − | 424.849i | −0.362507 | − | 0.515593i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −615.206 | + | 615.998i | −0.744802 | + | 0.745760i | ||||
\(827\) | −194.573 | − | 112.337i | −0.235276 | − | 0.135837i | 0.377728 | − | 0.925917i | \(-0.376706\pi\) |
−0.613004 | + | 0.790080i | \(0.710039\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −206.345 | − | 357.399i | −0.248908 | − | 0.431121i | 0.714315 | − | 0.699824i | \(-0.246738\pi\) |
−0.963223 | + | 0.268703i | \(0.913405\pi\) | |||||||
\(830\) | 203.817 | − | 762.616i | 0.245562 | − | 0.918814i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 266.311 | + | 722.991i | 0.320085 | + | 0.868979i | ||||
\(833\) | 333.131 | + | 279.530i | 0.399917 | + | 0.335570i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −128.080 | + | 351.898i | −0.153390 | + | 0.421434i | ||||
\(836\) | 131.435 | − | 362.564i | 0.157218 | − | 0.433689i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 570.550 | − | 400.050i | 0.680847 | − | 0.477387i | ||||
\(839\) | −440.665 | + | 1210.72i | −0.525226 | + | 1.44305i | 0.339406 | + | 0.940640i | \(0.389774\pi\) |
−0.864632 | + | 0.502406i | \(0.832448\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 791.806 | + | 664.404i | 0.941506 | + | 0.790017i | ||||
\(842\) | 301.038 | − | 140.612i | 0.357528 | − | 0.166998i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 422.919 | − | 154.546i | 0.501089 | − | 0.183112i | ||||
\(845\) | −75.8877 | − | 131.441i | −0.0898079 | − | 0.155552i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 797.564 | + | 460.474i | 0.941634 | + | 0.543653i | ||||
\(848\) | −646.410 | + | 1126.30i | −0.762276 | + | 1.32818i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 369.431 | + | 258.324i | 0.434625 | + | 0.303911i | ||||
\(851\) | 176.408 | + | 484.676i | 0.207295 | + | 0.569537i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −184.006 | − | 1043.55i | −0.215717 | − | 1.22339i | −0.879658 | − | 0.475606i | \(-0.842229\pi\) |
0.663942 | − | 0.747784i | \(-0.268882\pi\) | |||||||
\(854\) | 161.202 | + | 1828.99i | 0.188761 | + | 2.14168i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −299.404 | + | 300.561i | −0.349771 | + | 0.351123i | ||||
\(857\) | −362.506 | + | 304.178i | −0.422994 | + | 0.354934i | −0.829301 | − | 0.558803i | \(-0.811261\pi\) |
0.406307 | + | 0.913737i | \(0.366816\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 318.137 | + | 56.0961i | 0.370357 | + | 0.0653039i | 0.355729 | − | 0.934589i | \(-0.384233\pi\) |
0.0146277 | + | 0.999893i | \(0.495344\pi\) | |||||||
\(860\) | 246.863 | + | 426.312i | 0.287050 | + | 0.495712i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 289.625 | − | 77.8044i | 0.335992 | − | 0.0902604i | ||||
\(863\) | 1003.38i | 1.16266i | 0.813668 | + | 0.581330i | \(0.197468\pi\) | ||||
−0.813668 | + | 0.581330i | \(0.802532\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −576.415 | −0.666375 | ||||||||
\(866\) | 60.8153 | + | 226.383i | 0.0702256 | + | 0.261413i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 1511.92 | − | 875.500i | 1.74184 | − | 1.00864i | ||||
\(869\) | −59.5585 | + | 337.773i | −0.0685369 | + | 0.388692i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 534.343 | + | 636.805i | 0.613482 | + | 0.731120i | ||||
\(872\) | 1096.91 | + | 1092.68i | 1.25792 | + | 1.25308i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −848.652 | + | 74.7975i | −0.970998 | + | 0.0855806i | ||||
\(875\) | 559.573 | − | 98.6678i | 0.639512 | − | 0.112763i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 375.169 | − | 136.550i | 0.427787 | − | 0.155702i | −0.119149 | − | 0.992876i | \(-0.538017\pi\) |
0.546935 | + | 0.837175i | \(0.315794\pi\) | |||||||
\(878\) | −158.441 | + | 226.588i | −0.180457 | + | 0.258072i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −354.117 | − | 203.237i | −0.402406 | − | 0.230951i | ||||
\(881\) | −628.998 | + | 1089.46i | −0.713959 | + | 1.23661i | 0.249400 | + | 0.968401i | \(0.419767\pi\) |
−0.963360 | + | 0.268213i | \(0.913567\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −26.0807 | + | 15.0577i | −0.0295365 | + | 0.0170529i | −0.514696 | − | 0.857373i | \(-0.672095\pi\) |
0.485159 | + | 0.874426i | \(0.338762\pi\) | |||||||
\(884\) | 252.338 | + | 690.527i | 0.285450 | + | 0.781139i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −453.927 | − | 971.818i | −0.512333 | − | 1.09686i | ||||
\(887\) | 208.670 | − | 248.683i | 0.235253 | − | 0.280364i | −0.635482 | − | 0.772115i | \(-0.719199\pi\) |
0.870736 | + | 0.491752i | \(0.163643\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 260.540 | + | 94.8287i | 0.293070 | + | 0.106669i | ||||
\(890\) | 168.736 | + | 240.650i | 0.189591 | + | 0.270394i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 183.960 | + | 66.6880i | 0.206233 | + | 0.0747623i | ||||
\(893\) | −80.4659 | − | 29.2872i | −0.0901074 | − | 0.0327964i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1275.57 | − | 1520.17i | 1.42522 | − | 1.69851i | ||||
\(896\) | −925.856 | − | 642.099i | −1.03332 | − | 0.716628i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 882.115 | + | 235.754i | 0.982311 | + | 0.262532i | ||||
\(899\) | 1860.55 | − | 1074.19i | 2.06958 | − | 1.19487i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −619.566 | + | 1073.12i | −0.687642 | + | 1.19103i | ||||
\(902\) | −248.444 | − | 248.125i | −0.275437 | − | 0.275083i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 492.649 | − | 346.375i | 0.544966 | − | 0.383158i | ||||
\(905\) | 1215.43 | − | 442.379i | 1.34301 | − | 0.488816i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −1332.50 | + | 234.956i | −1.46913 | + | 0.259047i | −0.850226 | − | 0.526418i | \(-0.823535\pi\) |
−0.618905 | + | 0.785465i | \(0.712424\pi\) | |||||||
\(908\) | 1081.35 | − | 909.737i | 1.19092 | − | 1.00191i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −1211.61 | − | 564.036i | −1.33144 | − | 0.619820i | ||||
\(911\) | −433.248 | − | 516.324i | −0.475574 | − | 0.566767i | 0.473914 | − | 0.880571i | \(-0.342841\pi\) |
−0.949488 | + | 0.313805i | \(0.898396\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −43.9843 | + | 249.447i | −0.0481756 | + | 0.273217i | ||||
\(914\) | −100.278 | + | 1154.73i | −0.109713 | + | 1.26338i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −555.996 | + | 664.343i | −0.606982 | + | 0.725266i | ||||
\(917\) | −712.629 | −0.777131 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1384.80i | 1.50685i | 0.657534 | + | 0.753425i | \(0.271600\pi\) | ||||
−0.657534 | + | 0.753425i | \(0.728400\pi\) | |||||||
\(920\) | −76.8772 | + | 898.678i | −0.0835622 | + | 0.976824i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −69.5747 | + | 801.177i | −0.0754606 | + | 0.868955i | ||||
\(923\) | −663.679 | − | 117.025i | −0.719046 | − | 0.126787i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 326.249 | − | 273.755i | 0.352702 | − | 0.295952i | ||||
\(926\) | −1531.08 | − | 712.757i | −1.65344 | − | 0.769716i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1137.49 | − | 791.038i | −1.22574 | − | 0.852412i | ||||
\(929\) | −218.722 | − | 1240.43i | −0.235438 | − | 1.33523i | −0.841690 | − | 0.539961i | \(-0.818439\pi\) |
0.606252 | − | 0.795272i | \(-0.292672\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 232.102 | + | 637.694i | 0.249303 | + | 0.684956i | ||||
\(932\) | −0.0893834 | − | 69.4871i | −9.59049e−5 | − | 0.0745569i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 968.804 | + | 967.558i | 1.03726 | + | 1.03593i | ||||
\(935\) | −337.398 | − | 194.797i | −0.360853 | − | 0.208339i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −429.804 | − | 744.443i | −0.458703 | − | 0.794496i | 0.540190 | − | 0.841543i | \(-0.318352\pi\) |
−0.998893 | + | 0.0470467i | \(0.985019\pi\) | |||||||
\(938\) | −1174.43 | − | 313.878i | −1.25206 | − | 0.334625i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −45.2277 | + | 78.5699i | −0.0481146 | + | 0.0835850i | ||||
\(941\) | 109.878 | + | 92.1984i | 0.116767 | + | 0.0979791i | 0.699302 | − | 0.714827i | \(-0.253494\pi\) |
−0.582535 | + | 0.812806i | \(0.697939\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −265.296 | + | 728.894i | −0.281332 | + | 0.772953i | ||||
\(944\) | 507.027 | − | 607.418i | 0.537105 | − | 0.643452i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −90.7509 | − | 129.428i | −0.0959311 | − | 0.136816i | ||||
\(947\) | −302.546 | + | 831.238i | −0.319478 | + | 0.877759i | 0.671168 | + | 0.741305i | \(0.265793\pi\) |
−0.990646 | + | 0.136454i | \(0.956429\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 238.478 | + | 200.106i | 0.251294 | + | 0.210860i | ||||
\(950\) | 297.705 | + | 637.359i | 0.313373 | + | 0.670905i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −881.870 | − | 614.960i | −0.926334 | − | 0.645966i | ||||
\(953\) | 376.513 | + | 652.140i | 0.395082 | + | 0.684302i | 0.993112 | − | 0.117172i | \(-0.0373828\pi\) |
−0.598030 | + | 0.801474i | \(0.704049\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −170.081 | − | 98.1963i | −0.178095 | − | 0.102823i | ||||
\(956\) | 91.1993 | − | 521.136i | 0.0953968 | − | 0.545122i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −555.930 | + | 795.038i | −0.580303 | + | 0.829894i | ||||
\(959\) | −306.744 | − | 842.773i | −0.319859 | − | 0.878804i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −260.665 | − | 1478.31i | −0.271244 | − | 1.53830i | ||||
\(962\) | 691.895 | − | 60.9814i | 0.719225 | − | 0.0633902i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −1013.08 | + | 179.977i | −1.05091 | + | 0.186698i | ||||
\(965\) | −934.275 | + | 783.950i | −0.968161 | + | 0.812383i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −1807.24 | − | 318.666i | −1.86892 | − | 0.329541i | −0.879646 | − | 0.475628i | \(-0.842221\pi\) |
−0.989272 | + | 0.146087i | \(0.953332\pi\) | |||||||
\(968\) | −759.249 | − | 352.262i | −0.784348 | − | 0.363907i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −309.257 | − | 1151.20i | −0.318821 | − | 1.18680i | ||||
\(971\) | − | 1398.13i | − | 1.43989i | −0.694031 | − | 0.719945i | \(-0.744167\pi\) | ||
0.694031 | − | 0.719945i | \(-0.255833\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1933.78 | 1.98744 | ||||||||
\(974\) | 150.539 | − | 40.4407i | 0.154558 | − | 0.0415202i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −293.992 | − | 1642.59i | −0.301221 | − | 1.68298i | ||||
\(977\) | −27.4421 | + | 155.632i | −0.0280881 | + | 0.159296i | −0.995626 | − | 0.0934315i | \(-0.970216\pi\) |
0.967538 | + | 0.252727i | \(0.0813275\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −60.6214 | − | 72.2457i | −0.0619217 | − | 0.0737955i | ||||
\(980\) | 707.386 | − | 125.670i | 0.721823 | − | 0.128234i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 71.0413 | + | 806.035i | 0.0723435 | + | 0.820809i | ||||
\(983\) | 972.425 | − | 171.465i | 0.989242 | − | 0.174430i | 0.344464 | − | 0.938800i | \(-0.388061\pi\) |
0.644779 | + | 0.764369i | \(0.276950\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1576.22 | − | 573.697i | 1.60022 | − | 0.582434i | ||||
\(986\) | −1083.44 | − | 757.597i | −1.09883 | − | 0.768354i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −197.767 | + | 1130.09i | −0.200169 | + | 1.14382i | ||||
\(989\) | −174.600 | + | 302.416i | −0.176542 | + | 0.305780i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 528.087 | − | 304.891i | 0.532883 | − | 0.307660i | −0.209307 | − | 0.977850i | \(-0.567121\pi\) |
0.742190 | + | 0.670190i | \(0.233787\pi\) | |||||||
\(992\) | −1297.74 | + | 914.920i | −1.30820 | + | 0.922298i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 892.910 | − | 417.070i | 0.898300 | − | 0.419588i | ||||
\(995\) | −120.718 | + | 143.866i | −0.121324 | + | 0.144589i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 183.098 | + | 66.6423i | 0.183649 | + | 0.0668428i | 0.432208 | − | 0.901774i | \(-0.357735\pi\) |
−0.248559 | + | 0.968617i | \(0.579957\pi\) | |||||||
\(998\) | 1180.18 | − | 827.505i | 1.18255 | − | 0.829163i | ||||
\(999\) | 0 | 0 |
(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 | 324.3.j.a.307.13 | 204 | ||
3.2 | odd | 2 | 108.3.j.a.31.22 | yes | 204 | ||
4.3 | odd | 2 | inner | 324.3.j.a.307.6 | 204 | ||
12.11 | even | 2 | 108.3.j.a.31.29 | yes | 204 | ||
27.7 | even | 9 | inner | 324.3.j.a.19.6 | 204 | ||
27.20 | odd | 18 | 108.3.j.a.7.29 | yes | 204 | ||
108.7 | odd | 18 | inner | 324.3.j.a.19.13 | 204 | ||
108.47 | even | 18 | 108.3.j.a.7.22 | ✓ | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.3.j.a.7.22 | ✓ | 204 | 108.47 | even | 18 | ||
108.3.j.a.7.29 | yes | 204 | 27.20 | odd | 18 | ||
108.3.j.a.31.22 | yes | 204 | 3.2 | odd | 2 | ||
108.3.j.a.31.29 | yes | 204 | 12.11 | even | 2 | ||
324.3.j.a.19.6 | 204 | 27.7 | even | 9 | inner | ||
324.3.j.a.19.13 | 204 | 108.7 | odd | 18 | inner | ||
324.3.j.a.307.6 | 204 | 4.3 | odd | 2 | inner | ||
324.3.j.a.307.13 | 204 | 1.1 | even | 1 | trivial |