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 | 307.33 | ||
Character | \(\chi\) | \(=\) | 324.307 |
Dual form | 324.3.j.a.19.33 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.95123 | − | 0.438997i | 0.975613 | − | 0.219498i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 3.61456 | − | 1.71316i | 0.903641 | − | 0.428291i | ||||
\(5\) | −0.0372686 | + | 0.211361i | −0.00745372 | + | 0.0422722i | −0.988308 | − | 0.152472i | \(-0.951277\pi\) |
0.980854 | + | 0.194744i | \(0.0623877\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 7.43930 | + | 8.86581i | 1.06276 | + | 1.26654i | 0.962412 | + | 0.271592i | \(0.0875502\pi\) |
0.100345 | + | 0.994953i | \(0.468005\pi\) | |||||||
\(8\) | 6.30076 | − | 4.92955i | 0.787595 | − | 0.616194i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.0200672 | + | 0.428773i | 0.00200672 | + | 0.0428773i | ||||
\(11\) | 9.50415 | − | 1.67584i | 0.864014 | − | 0.152349i | 0.275958 | − | 0.961170i | \(-0.411005\pi\) |
0.588055 | + | 0.808821i | \(0.299894\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −18.7145 | + | 6.81150i | −1.43957 | + | 0.523962i | −0.939659 | − | 0.342113i | \(-0.888858\pi\) |
−0.499915 | + | 0.866075i | \(0.666635\pi\) | |||||||
\(14\) | 18.4078 | + | 14.0334i | 1.31484 | + | 1.00238i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 10.1301 | − | 12.3847i | 0.633134 | − | 0.774042i | ||||
\(17\) | 0.856471 | − | 1.48345i | 0.0503806 | − | 0.0872618i | −0.839735 | − | 0.542996i | \(-0.817290\pi\) |
0.890116 | + | 0.455734i | \(0.150623\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.28896 | + | 3.05358i | −0.278366 | + | 0.160715i | −0.632683 | − | 0.774410i | \(-0.718047\pi\) |
0.354317 | + | 0.935125i | \(0.384713\pi\) | |||||||
\(20\) | 0.227386 | + | 0.827824i | 0.0113693 | + | 0.0413912i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 17.8091 | − | 7.44223i | 0.809503 | − | 0.338283i | ||||
\(23\) | 20.2195 | − | 24.0967i | 0.879108 | − | 1.04768i | −0.119387 | − | 0.992848i | \(-0.538093\pi\) |
0.998496 | − | 0.0548328i | \(-0.0174626\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 23.4490 | + | 8.53475i | 0.937961 | + | 0.341390i | ||||
\(26\) | −33.5259 | + | 21.5064i | −1.28946 | + | 0.827168i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 42.0784 | + | 19.3013i | 1.50280 | + | 0.689333i | ||||
\(29\) | −8.13847 | − | 2.96216i | −0.280637 | − | 0.102144i | 0.197867 | − | 0.980229i | \(-0.436599\pi\) |
−0.478504 | + | 0.878085i | \(0.658821\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.101324 | + | 0.120753i | −0.00326852 | + | 0.00389527i | −0.767676 | − | 0.640838i | \(-0.778587\pi\) |
0.764408 | + | 0.644733i | \(0.223032\pi\) | |||||||
\(32\) | 14.3294 | − | 28.6124i | 0.447793 | − | 0.894137i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.01994 | − | 3.27054i | 0.0299982 | − | 0.0961922i | ||||
\(35\) | −2.15114 | + | 1.24196i | −0.0614611 | + | 0.0354846i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 24.1007 | − | 41.7436i | 0.651369 | − | 1.12820i | −0.331422 | − | 0.943483i | \(-0.607528\pi\) |
0.982791 | − | 0.184722i | \(-0.0591383\pi\) | |||||||
\(38\) | −8.97943 | + | 8.28006i | −0.236301 | + | 0.217896i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.807093 | + | 1.51545i | 0.0201773 | + | 0.0378863i | ||||
\(41\) | −19.2926 | + | 7.02193i | −0.470551 | + | 0.171267i | −0.566402 | − | 0.824129i | \(-0.691665\pi\) |
0.0958510 | + | 0.995396i | \(0.469443\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −45.0838 | + | 7.94949i | −1.04846 | + | 0.184872i | −0.671231 | − | 0.741248i | \(-0.734234\pi\) |
−0.377229 | + | 0.926120i | \(0.623123\pi\) | |||||||
\(44\) | 31.4824 | − | 22.3396i | 0.715509 | − | 0.507718i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 28.8744 | − | 55.8943i | 0.627705 | − | 1.21509i | ||||
\(47\) | −23.9050 | − | 28.4889i | −0.508618 | − | 0.606147i | 0.449233 | − | 0.893415i | \(-0.351697\pi\) |
−0.957850 | + | 0.287268i | \(0.907253\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −14.7507 | + | 83.6553i | −0.301035 | + | 1.70725i | ||||
\(50\) | 49.5011 | + | 6.35918i | 0.990022 | + | 0.127184i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −55.9754 | + | 56.6815i | −1.07645 | + | 1.09003i | ||||
\(53\) | −98.4809 | −1.85813 | −0.929065 | − | 0.369917i | \(-0.879386\pi\) | ||||
−0.929065 | + | 0.369917i | \(0.879386\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.07126i | 0.0376593i | ||||||||
\(56\) | 90.5777 | + | 19.1890i | 1.61746 | + | 0.342660i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −17.1804 | − | 2.20708i | −0.296213 | − | 0.0380532i | ||||
\(59\) | 12.4095 | + | 2.18814i | 0.210331 | + | 0.0370871i | 0.277821 | − | 0.960633i | \(-0.410388\pi\) |
−0.0674896 | + | 0.997720i | \(0.521499\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −62.8227 | + | 52.7145i | −1.02988 | + | 0.864172i | −0.990837 | − | 0.135065i | \(-0.956876\pi\) |
−0.0390434 | + | 0.999238i | \(0.512431\pi\) | |||||||
\(62\) | −0.144696 | + | 0.280098i | −0.00233381 | + | 0.00451771i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 15.3991 | − | 62.1198i | 0.240611 | − | 0.970622i | ||||
\(65\) | −0.742223 | − | 4.20936i | −0.0114188 | − | 0.0647593i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 18.1950 | + | 49.9905i | 0.271568 | + | 0.746126i | 0.998249 | + | 0.0591515i | \(0.0188395\pi\) |
−0.726681 | + | 0.686975i | \(0.758938\pi\) | |||||||
\(68\) | 0.554376 | − | 6.82930i | 0.00815259 | − | 0.100431i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −3.65214 | + | 3.36769i | −0.0521734 | + | 0.0481098i | ||||
\(71\) | −65.5561 | − | 37.8488i | −0.923325 | − | 0.533082i | −0.0386308 | − | 0.999254i | \(-0.512300\pi\) |
−0.884694 | + | 0.466172i | \(0.845633\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 13.3902 | + | 23.1924i | 0.183427 | + | 0.317705i | 0.943045 | − | 0.332664i | \(-0.107948\pi\) |
−0.759618 | + | 0.650369i | \(0.774614\pi\) | |||||||
\(74\) | 28.7005 | − | 92.0312i | 0.387845 | − | 1.24367i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −13.8860 | + | 20.0982i | −0.182710 | + | 0.264450i | ||||
\(77\) | 85.5619 | + | 71.7950i | 1.11119 | + | 0.932402i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 39.9006 | − | 109.626i | 0.505071 | − | 1.38767i | −0.381194 | − | 0.924495i | \(-0.624487\pi\) |
0.886266 | − | 0.463177i | \(-0.153291\pi\) | |||||||
\(80\) | 2.24010 | + | 2.60268i | 0.0280012 | + | 0.0325334i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −34.5616 | + | 22.1707i | −0.421483 | + | 0.270375i | ||||
\(83\) | −38.5038 | + | 105.788i | −0.463901 | + | 1.27456i | 0.458628 | + | 0.888628i | \(0.348341\pi\) |
−0.922529 | + | 0.385928i | \(0.873881\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.281624 | + | 0.236311i | 0.00331322 | + | 0.00278012i | ||||
\(86\) | −84.4788 | + | 35.3029i | −0.982312 | + | 0.410498i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 51.6222 | − | 57.4102i | 0.586616 | − | 0.652389i | ||||
\(89\) | −59.4575 | − | 102.983i | −0.668061 | − | 1.15712i | −0.978446 | − | 0.206505i | \(-0.933791\pi\) |
0.310384 | − | 0.950611i | \(-0.399542\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −199.612 | − | 115.246i | −2.19354 | − | 1.26644i | ||||
\(92\) | 31.8032 | − | 121.738i | 0.345687 | − | 1.32324i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −59.1506 | − | 45.0941i | −0.629262 | − | 0.479724i | ||||
\(95\) | −0.448295 | − | 1.23168i | −0.00471889 | − | 0.0129651i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.27138 | − | 24.2242i | −0.0440349 | − | 0.249734i | 0.954842 | − | 0.297114i | \(-0.0960241\pi\) |
−0.998877 | + | 0.0473796i | \(0.984913\pi\) | |||||||
\(98\) | 7.94247 | + | 169.706i | 0.0810456 | + | 1.73169i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 99.3794 | − | 9.32261i | 0.993794 | − | 0.0932261i | ||||
\(101\) | −36.2218 | + | 30.3937i | −0.358632 | + | 0.300928i | −0.804245 | − | 0.594298i | \(-0.797430\pi\) |
0.445613 | + | 0.895226i | \(0.352986\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 52.3436 | + | 9.22958i | 0.508190 | + | 0.0896076i | 0.421864 | − | 0.906659i | \(-0.361376\pi\) |
0.0863264 | + | 0.996267i | \(0.472487\pi\) | |||||||
\(104\) | −84.3376 | + | 135.171i | −0.810939 | + | 1.29973i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −192.158 | + | 43.2328i | −1.81282 | + | 0.407856i | ||||
\(107\) | − | 31.1755i | − | 0.291360i | −0.989332 | − | 0.145680i | \(-0.953463\pi\) | ||
0.989332 | − | 0.145680i | \(-0.0465369\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 62.5881 | 0.574203 | 0.287101 | − | 0.957900i | \(-0.407308\pi\) | ||||
0.287101 | + | 0.957900i | \(0.407308\pi\) | |||||||
\(110\) | 0.909277 | + | 4.04150i | 0.00826615 | + | 0.0367409i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 185.161 | − | 2.32132i | 1.65323 | − | 0.0207260i | ||||
\(113\) | −22.6665 | + | 128.548i | −0.200589 | + | 1.13760i | 0.703643 | + | 0.710554i | \(0.251555\pi\) |
−0.904232 | + | 0.427042i | \(0.859556\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.33953 | + | 5.17166i | 0.0377351 | + | 0.0449709i | ||||
\(116\) | −34.4917 | + | 3.23560i | −0.297342 | + | 0.0278931i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 25.1744 | − | 1.17820i | 0.213342 | − | 0.00998471i | ||||
\(119\) | 19.5236 | − | 3.44253i | 0.164063 | − | 0.0289288i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −26.1823 | + | 9.52958i | −0.216383 | + | 0.0787569i | ||||
\(122\) | −99.4398 | + | 130.437i | −0.815080 | + | 1.06915i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.159372 | + | 0.610056i | −0.00128526 | + | 0.00491980i | ||||
\(125\) | −5.36059 | + | 9.28482i | −0.0428847 | + | 0.0742785i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 26.2396 | − | 15.1494i | 0.206611 | − | 0.119287i | −0.393124 | − | 0.919485i | \(-0.628606\pi\) |
0.599735 | + | 0.800198i | \(0.295273\pi\) | |||||||
\(128\) | 2.77676 | − | 127.970i | 0.0216934 | − | 0.999765i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −3.29614 | − | 7.88757i | −0.0253549 | − | 0.0606736i | ||||
\(131\) | 118.464 | − | 141.179i | 0.904302 | − | 1.07770i | −0.0923324 | − | 0.995728i | \(-0.529432\pi\) |
0.996634 | − | 0.0819767i | \(-0.0261233\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −66.4186 | − | 24.1744i | −0.499388 | − | 0.181762i | ||||
\(134\) | 57.4483 | + | 89.5551i | 0.428718 | + | 0.668322i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.91633 | − | 13.5689i | −0.0140907 | − | 0.0997712i | ||||
\(137\) | 23.6048 | + | 8.59145i | 0.172298 | + | 0.0627113i | 0.426729 | − | 0.904380i | \(-0.359666\pi\) |
−0.254431 | + | 0.967091i | \(0.581888\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 5.61100 | − | 6.68693i | 0.0403669 | − | 0.0481074i | −0.745483 | − | 0.666524i | \(-0.767781\pi\) |
0.785850 | + | 0.618417i | \(0.212226\pi\) | |||||||
\(140\) | −5.64775 | + | 8.17439i | −0.0403410 | + | 0.0583885i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −144.530 | − | 45.0727i | −1.01782 | − | 0.317413i | ||||
\(143\) | −166.450 | + | 96.1000i | −1.16399 | + | 0.672028i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.929394 | − | 1.60976i | 0.00640962 | − | 0.0111018i | ||||
\(146\) | 36.3086 | + | 39.3755i | 0.248689 | + | 0.269695i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 15.5999 | − | 192.173i | 0.105404 | − | 1.29847i | ||||
\(149\) | 9.12132 | − | 3.31989i | 0.0612169 | − | 0.0222811i | −0.311230 | − | 0.950335i | \(-0.600741\pi\) |
0.372447 | + | 0.928053i | \(0.378519\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 92.5096 | − | 16.3119i | 0.612646 | − | 0.108026i | 0.141289 | − | 0.989968i | \(-0.454875\pi\) |
0.471357 | + | 0.881942i | \(0.343764\pi\) | |||||||
\(152\) | −18.2717 | + | 45.3120i | −0.120208 | + | 0.298105i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 198.468 | + | 102.527i | 1.28876 | + | 0.665759i | ||||
\(155\) | −0.0217463 | − | 0.0259163i | −0.000140299 | − | 0.000167202i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −23.4101 | + | 132.765i | −0.149109 | + | 0.845639i | 0.814867 | + | 0.579649i | \(0.196810\pi\) |
−0.963976 | + | 0.265991i | \(0.914301\pi\) | |||||||
\(158\) | 29.7297 | − | 231.422i | 0.188163 | − | 1.46469i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 5.51350 | + | 4.09501i | 0.0344594 | + | 0.0255938i | ||||
\(161\) | 364.055 | 2.26121 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 202.543i | 1.24260i | 0.783575 | + | 0.621298i | \(0.213394\pi\) | ||||
−0.783575 | + | 0.621298i | \(0.786606\pi\) | |||||||
\(164\) | −57.7046 | + | 58.4326i | −0.351857 | + | 0.356296i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −28.6889 | + | 223.320i | −0.172824 | + | 1.34530i | ||||
\(167\) | 147.033 | + | 25.9260i | 0.880440 | + | 0.155245i | 0.595553 | − | 0.803316i | \(-0.296933\pi\) |
0.284887 | + | 0.958561i | \(0.408044\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 174.373 | − | 146.316i | 1.03179 | − | 0.865776i | ||||
\(170\) | 0.653251 | + | 0.337463i | 0.00384266 | + | 0.00198508i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −149.339 | + | 105.970i | −0.868252 | + | 0.616103i | ||||
\(173\) | −54.2893 | − | 307.890i | −0.313811 | − | 1.77971i | −0.578809 | − | 0.815463i | \(-0.696482\pi\) |
0.264998 | − | 0.964249i | \(-0.414629\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 98.7769 | + | 271.387i | 0.564439 | + | 1.55078i | ||||
\(176\) | 75.5238 | − | 134.682i | 0.429112 | − | 0.765240i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −161.224 | − | 174.842i | −0.905754 | − | 0.982259i | ||||
\(179\) | −23.2554 | − | 13.4265i | −0.129919 | − | 0.0750086i | 0.433632 | − | 0.901090i | \(-0.357232\pi\) |
−0.563551 | + | 0.826081i | \(0.690565\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −144.044 | − | 249.492i | −0.795823 | − | 1.37841i | −0.922315 | − | 0.386439i | \(-0.873705\pi\) |
0.126492 | − | 0.991968i | \(-0.459628\pi\) | |||||||
\(182\) | −440.081 | − | 137.242i | −2.41803 | − | 0.754077i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 8.61251 | − | 251.500i | 0.0468071 | − | 1.36685i | ||||
\(185\) | 7.92475 | + | 6.64966i | 0.0428365 | + | 0.0359441i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 5.65401 | − | 15.5343i | 0.0302353 | − | 0.0830709i | ||||
\(188\) | −135.212 | − | 62.0218i | −0.719215 | − | 0.329903i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1.41543 | − | 2.20649i | −0.00744962 | − | 0.0116131i | ||||
\(191\) | −77.1124 | + | 211.865i | −0.403730 | + | 1.10924i | 0.556699 | + | 0.830714i | \(0.312068\pi\) |
−0.960429 | + | 0.278525i | \(0.910155\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −157.892 | − | 132.487i | −0.818095 | − | 0.686463i | 0.134430 | − | 0.990923i | \(-0.457080\pi\) |
−0.952525 | + | 0.304460i | \(0.901524\pi\) | |||||||
\(194\) | −18.9688 | − | 45.3918i | −0.0977772 | − | 0.233978i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 89.9979 | + | 327.648i | 0.459173 | + | 1.67167i | ||||
\(197\) | 63.0398 | + | 109.188i | 0.319999 | + | 0.554255i | 0.980487 | − | 0.196581i | \(-0.0629840\pi\) |
−0.660488 | + | 0.750836i | \(0.729651\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −64.5454 | − | 37.2653i | −0.324348 | − | 0.187263i | 0.328981 | − | 0.944337i | \(-0.393295\pi\) |
−0.653329 | + | 0.757074i | \(0.726628\pi\) | |||||||
\(200\) | 189.819 | − | 61.8177i | 0.949096 | − | 0.309089i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −57.3343 | + | 75.2063i | −0.283833 | + | 0.372308i | ||||
\(203\) | −34.2826 | − | 94.1906i | −0.168880 | − | 0.463993i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.765152 | − | 4.33939i | −0.00373245 | − | 0.0211678i | ||||
\(206\) | 106.186 | − | 4.96965i | 0.515465 | − | 0.0241245i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −105.222 | + | 300.774i | −0.505875 | + | 1.44603i | ||||
\(209\) | −45.1497 | + | 37.8851i | −0.216027 | + | 0.181269i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −26.9666 | − | 4.75493i | −0.127804 | − | 0.0225352i | 0.109380 | − | 0.994000i | \(-0.465113\pi\) |
−0.237184 | + | 0.971465i | \(0.576224\pi\) | |||||||
\(212\) | −355.965 | + | 168.714i | −1.67908 | + | 0.795820i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −13.6859 | − | 60.8304i | −0.0639529 | − | 0.284254i | ||||
\(215\) | − | 9.82521i | − | 0.0456986i | ||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.82436 | −0.00840718 | ||||||||
\(218\) | 122.123 | − | 27.4760i | 0.560200 | − | 0.126036i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 3.54841 | + | 7.48671i | 0.0161291 | + | 0.0340305i | ||||
\(221\) | −5.92385 | + | 33.5958i | −0.0268048 | + | 0.152017i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −25.4525 | − | 30.3332i | −0.114137 | − | 0.136023i | 0.705951 | − | 0.708261i | \(-0.250520\pi\) |
−0.820088 | + | 0.572238i | \(0.806075\pi\) | |||||||
\(224\) | 360.273 | − | 85.8146i | 1.60836 | − | 0.383101i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 12.2047 | + | 260.777i | 0.0540033 | + | 1.15388i | ||||
\(227\) | 367.121 | − | 64.7334i | 1.61727 | − | 0.285169i | 0.709524 | − | 0.704681i | \(-0.248910\pi\) |
0.907750 | + | 0.419512i | \(0.137799\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 270.130 | − | 98.3193i | 1.17961 | − | 0.429342i | 0.323544 | − | 0.946213i | \(-0.395126\pi\) |
0.856063 | + | 0.516871i | \(0.172903\pi\) | |||||||
\(230\) | 10.7378 | + | 8.18603i | 0.0466859 | + | 0.0355914i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −65.8807 | + | 21.4551i | −0.283968 | + | 0.0924790i | ||||
\(233\) | 183.876 | − | 318.482i | 0.789166 | − | 1.36688i | −0.137312 | − | 0.990528i | \(-0.543846\pi\) |
0.926478 | − | 0.376348i | \(-0.122820\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 6.91234 | − | 3.99084i | 0.0294142 | − | 0.0169823i | ||||
\(236\) | 48.6037 | − | 13.3504i | 0.205948 | − | 0.0565695i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 36.5836 | − | 15.2879i | 0.153713 | − | 0.0642350i | ||||
\(239\) | −114.381 | + | 136.314i | −0.478581 | + | 0.570350i | −0.950275 | − | 0.311412i | \(-0.899198\pi\) |
0.471694 | + | 0.881762i | \(0.343643\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 327.606 | + | 119.239i | 1.35936 | + | 0.494766i | 0.915856 | − | 0.401507i | \(-0.131513\pi\) |
0.443503 | + | 0.896273i | \(0.353736\pi\) | |||||||
\(242\) | −46.9041 | + | 30.0883i | −0.193819 | + | 0.124332i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −136.768 | + | 298.165i | −0.560525 | + | 1.22199i | ||||
\(245\) | −17.1317 | − | 6.23544i | −0.0699254 | − | 0.0254508i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 78.1804 | − | 93.1718i | 0.316520 | − | 0.377214i | ||||
\(248\) | −0.0431591 | + | 1.26032i | −0.000174029 | + | 0.00508194i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −6.38372 | + | 20.4701i | −0.0255349 | + | 0.0818802i | ||||
\(251\) | 110.893 | − | 64.0244i | 0.441806 | − | 0.255077i | −0.262557 | − | 0.964916i | \(-0.584566\pi\) |
0.704364 | + | 0.709839i | \(0.251232\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 151.787 | − | 262.903i | 0.599949 | − | 1.03914i | ||||
\(254\) | 44.5488 | − | 41.0790i | 0.175389 | − | 0.161729i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −50.7603 | − | 250.917i | −0.198282 | − | 0.980145i | ||||
\(257\) | 251.532 | − | 91.5503i | 0.978725 | − | 0.356227i | 0.197381 | − | 0.980327i | \(-0.436756\pi\) |
0.781344 | + | 0.624100i | \(0.214534\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 549.383 | − | 96.8710i | 2.12117 | − | 0.374019i | ||||
\(260\) | −9.89413 | − | 13.9434i | −0.0380543 | − | 0.0536286i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 169.172 | − | 327.478i | 0.645694 | − | 1.24992i | ||||
\(263\) | 167.815 | + | 199.995i | 0.638081 | + | 0.760436i | 0.984066 | − | 0.177805i | \(-0.0568995\pi\) |
−0.345985 | + | 0.938240i | \(0.612455\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 3.67024 | − | 20.8150i | 0.0138500 | − | 0.0785471i | ||||
\(266\) | −140.210 | − | 18.0122i | −0.527106 | − | 0.0677149i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 151.409 | + | 149.523i | 0.564959 | + | 0.557920i | ||||
\(269\) | −316.834 | −1.17782 | −0.588910 | − | 0.808199i | \(-0.700443\pi\) | ||||
−0.588910 | + | 0.808199i | \(0.700443\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 175.899i | − | 0.649072i | −0.945873 | − | 0.324536i | \(-0.894792\pi\) | ||
0.945873 | − | 0.324536i | \(-0.105208\pi\) | |||||||
\(272\) | −9.69588 | − | 25.6347i | −0.0356466 | − | 0.0942452i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 49.8300 | + | 6.40143i | 0.181861 | + | 0.0233629i | ||||
\(275\) | 237.166 | + | 41.8188i | 0.862422 | + | 0.152068i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 12.2521 | − | 10.2807i | 0.0442313 | − | 0.0371144i | −0.620404 | − | 0.784282i | \(-0.713031\pi\) |
0.664635 | + | 0.747168i | \(0.268587\pi\) | |||||||
\(278\) | 8.01279 | − | 15.5109i | 0.0288230 | − | 0.0557947i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −7.43150 | + | 18.4294i | −0.0265411 | + | 0.0658194i | ||||
\(281\) | 55.2824 | + | 313.522i | 0.196734 | + | 1.11574i | 0.909927 | + | 0.414768i | \(0.136137\pi\) |
−0.713193 | + | 0.700968i | \(0.752752\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 70.4466 | + | 193.550i | 0.248928 | + | 0.683924i | 0.999726 | + | 0.0233925i | \(0.00744673\pi\) |
−0.750798 | + | 0.660531i | \(0.770331\pi\) | |||||||
\(284\) | −301.798 | − | 24.4988i | −1.06267 | − | 0.0862632i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −282.594 | + | 260.584i | −0.988091 | + | 0.911132i | ||||
\(287\) | −205.778 | − | 118.806i | −0.716998 | − | 0.413959i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 143.033 | + | 247.740i | 0.494924 | + | 0.857233i | ||||
\(290\) | 1.10678 | − | 3.54900i | 0.00381648 | − | 0.0122379i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 88.1320 | + | 60.8911i | 0.301822 | + | 0.208531i | ||||
\(293\) | −74.1234 | − | 62.1969i | −0.252981 | − | 0.212276i | 0.507474 | − | 0.861667i | \(-0.330579\pi\) |
−0.760455 | + | 0.649391i | \(0.775024\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.924972 | + | 2.54134i | −0.00313550 | + | 0.00861471i | ||||
\(296\) | −53.9245 | − | 381.821i | −0.182177 | − | 1.28994i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 16.3403 | − | 10.4821i | 0.0548333 | − | 0.0351748i | ||||
\(299\) | −214.262 | + | 588.681i | −0.716596 | + | 1.96883i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −405.870 | − | 340.566i | −1.34841 | − | 1.13145i | ||||
\(302\) | 173.346 | − | 72.4397i | 0.573994 | − | 0.239866i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −15.7603 | + | 96.4352i | −0.0518431 | + | 0.317221i | ||||
\(305\) | −8.80046 | − | 15.2428i | −0.0288540 | − | 0.0499765i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 234.193 | + | 135.212i | 0.762845 | + | 0.440429i | 0.830316 | − | 0.557293i | \(-0.188160\pi\) |
−0.0674715 | + | 0.997721i | \(0.521493\pi\) | |||||||
\(308\) | 432.266 | + | 112.926i | 1.40346 | + | 0.366643i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.0538091 | − | 0.0410219i | −0.000173578 | − | 0.000132329i | ||||
\(311\) | −6.59888 | − | 18.1303i | −0.0212183 | − | 0.0582967i | 0.928631 | − | 0.371004i | \(-0.120986\pi\) |
−0.949850 | + | 0.312707i | \(0.898764\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 84.3023 | + | 478.102i | 0.269337 | + | 1.52748i | 0.756396 | + | 0.654114i | \(0.226959\pi\) |
−0.487059 | + | 0.873369i | \(0.661930\pi\) | |||||||
\(314\) | 12.6051 | + | 269.332i | 0.0401437 | + | 0.857746i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −43.5839 | − | 464.607i | −0.137924 | − | 1.47028i | ||||
\(317\) | −420.029 | + | 352.446i | −1.32501 | + | 1.11182i | −0.339796 | + | 0.940499i | \(0.610358\pi\) |
−0.985216 | + | 0.171318i | \(0.945198\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −82.3134 | − | 14.5141i | −0.258036 | − | 0.0454987i | ||||
\(320\) | 12.5558 | + | 5.56988i | 0.0392368 | + | 0.0174059i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 710.354 | − | 159.819i | 2.20607 | − | 0.496332i | ||||
\(323\) | 10.4612i | 0.0323876i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −496.970 | −1.52914 | ||||||||
\(326\) | 88.9157 | + | 395.207i | 0.272748 | + | 1.21229i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −86.9430 | + | 139.347i | −0.265070 | + | 0.424839i | ||||
\(329\) | 74.7406 | − | 423.875i | 0.227175 | − | 1.28837i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −349.160 | − | 416.112i | −1.05486 | − | 1.25714i | −0.965297 | − | 0.261156i | \(-0.915896\pi\) |
−0.0895664 | − | 0.995981i | \(-0.528548\pi\) | |||||||
\(332\) | 42.0581 | + | 448.341i | 0.126681 | + | 1.35043i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 298.277 | − | 13.9598i | 0.893045 | − | 0.0417957i | ||||
\(335\) | −11.2441 | + | 1.98264i | −0.0335646 | + | 0.00591834i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 187.444 | − | 68.2240i | 0.556214 | − | 0.202445i | −0.0485915 | − | 0.998819i | \(-0.515473\pi\) |
0.604805 | + | 0.796374i | \(0.293251\pi\) | |||||||
\(338\) | 276.008 | − | 362.045i | 0.816593 | − | 1.07114i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 1.42279 | + | 0.371692i | 0.00418467 | + | 0.00109321i | ||||
\(341\) | −0.760637 | + | 1.31746i | −0.00223061 | + | 0.00386352i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −360.283 | + | 208.010i | −1.05039 | + | 0.606442i | ||||
\(344\) | −244.875 | + | 272.330i | −0.711845 | + | 0.791658i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −241.094 | − | 576.930i | −0.696802 | − | 1.66743i | ||||
\(347\) | 19.9944 | − | 23.8284i | 0.0576208 | − | 0.0686697i | −0.736464 | − | 0.676477i | \(-0.763506\pi\) |
0.794085 | + | 0.607807i | \(0.207950\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −181.722 | − | 66.1414i | −0.520694 | − | 0.189517i | 0.0682846 | − | 0.997666i | \(-0.478247\pi\) |
−0.588978 | + | 0.808149i | \(0.700470\pi\) | |||||||
\(350\) | 311.874 | + | 486.175i | 0.891069 | + | 1.38907i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 88.2388 | − | 295.950i | 0.250678 | − | 0.840768i | ||||
\(353\) | 247.782 | + | 90.1852i | 0.701932 | + | 0.255482i | 0.668235 | − | 0.743950i | \(-0.267050\pi\) |
0.0336962 | + | 0.999432i | \(0.489272\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 10.4429 | − | 12.4454i | 0.0294167 | − | 0.0350575i | ||||
\(356\) | −391.340 | − | 270.380i | −1.09927 | − | 0.759493i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −51.2708 | − | 15.9891i | −0.143215 | − | 0.0446624i | ||||
\(359\) | 250.254 | − | 144.484i | 0.697086 | − | 0.402463i | −0.109175 | − | 0.994023i | \(-0.534821\pi\) |
0.806261 | + | 0.591560i | \(0.201488\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −161.851 | + | 280.335i | −0.448342 | + | 0.776550i | ||||
\(362\) | −390.588 | − | 423.580i | −1.07897 | − | 1.17011i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −918.946 | − | 74.5964i | −2.52458 | − | 0.204935i | ||||
\(365\) | −5.40101 | + | 1.96581i | −0.0147973 | + | 0.00538577i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −443.020 | + | 78.1163i | −1.20714 | + | 0.212851i | −0.740782 | − | 0.671746i | \(-0.765545\pi\) |
−0.466356 | + | 0.884597i | \(0.654434\pi\) | |||||||
\(368\) | −93.6027 | − | 494.514i | −0.254355 | − | 1.34379i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 18.3822 | + | 9.49604i | 0.0496815 | + | 0.0256650i | ||||
\(371\) | −732.629 | − | 873.113i | −1.97474 | − | 2.35340i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −40.7778 | + | 231.262i | −0.109324 | + | 0.620006i | 0.880081 | + | 0.474824i | \(0.157488\pi\) |
−0.989405 | + | 0.145183i | \(0.953623\pi\) | |||||||
\(374\) | 4.21276 | − | 32.7929i | 0.0112641 | − | 0.0876816i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −291.057 | − | 61.6607i | −0.774088 | − | 0.163991i | ||||
\(377\) | 172.484 | 0.457517 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 24.5603i | − | 0.0648028i | −0.999475 | − | 0.0324014i | \(-0.989685\pi\) | ||
0.999475 | − | 0.0324014i | \(-0.0103155\pi\) | |||||||
\(380\) | −3.73046 | − | 3.68399i | −0.00981700 | − | 0.00969470i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −57.4559 | + | 447.248i | −0.150408 | + | 1.17081i | ||||
\(383\) | −586.109 | − | 103.347i | −1.53031 | − | 0.269835i | −0.655835 | − | 0.754905i | \(-0.727683\pi\) |
−0.874475 | + | 0.485070i | \(0.838794\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −18.3634 | + | 15.4087i | −0.0476972 | + | 0.0400227i | ||||
\(386\) | −366.245 | − | 189.199i | −0.948822 | − | 0.490152i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −56.9392 | − | 80.2424i | −0.146751 | − | 0.206810i | ||||
\(389\) | 57.6262 | + | 326.814i | 0.148139 | + | 0.840139i | 0.964793 | + | 0.263011i | \(0.0847156\pi\) |
−0.816654 | + | 0.577128i | \(0.804173\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −18.4288 | − | 50.6327i | −0.0471325 | − | 0.129495i | ||||
\(392\) | 319.443 | + | 599.806i | 0.814904 | + | 1.53012i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 170.938 | + | 185.377i | 0.433853 | + | 0.470499i | ||||
\(395\) | 21.6836 | + | 12.5190i | 0.0548952 | + | 0.0316938i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −42.7323 | − | 74.0146i | −0.107638 | − | 0.186435i | 0.807175 | − | 0.590312i | \(-0.200995\pi\) |
−0.914813 | + | 0.403878i | \(0.867662\pi\) | |||||||
\(398\) | −142.302 | − | 44.3778i | −0.357542 | − | 0.111502i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 343.242 | − | 203.950i | 0.858106 | − | 0.509876i | ||||
\(401\) | −129.017 | − | 108.258i | −0.321738 | − | 0.269970i | 0.467586 | − | 0.883948i | \(-0.345124\pi\) |
−0.789323 | + | 0.613978i | \(0.789568\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.07371 | − | 2.95000i | 0.00266430 | − | 0.00732011i | ||||
\(404\) | −78.8568 | + | 171.914i | −0.195190 | + | 0.425530i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −108.242 | − | 168.737i | −0.266607 | − | 0.415609i | ||||
\(407\) | 159.101 | − | 437.126i | 0.390911 | − | 1.07402i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −106.572 | − | 89.4245i | −0.260567 | − | 0.218642i | 0.503139 | − | 0.864205i | \(-0.332178\pi\) |
−0.763707 | + | 0.645563i | \(0.776623\pi\) | |||||||
\(410\) | −3.39796 | − | 8.13124i | −0.00828772 | − | 0.0198323i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 205.011 | − | 56.3121i | 0.497599 | − | 0.136680i | ||||
\(413\) | 72.9187 | + | 126.299i | 0.176559 | + | 0.305808i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −20.9245 | − | 12.0808i | −0.0504205 | − | 0.0291103i | ||||
\(416\) | −73.2730 | + | 633.070i | −0.176137 | + | 1.52180i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −71.4659 | + | 93.7430i | −0.170971 | + | 0.224266i | ||||
\(419\) | 48.4909 | + | 133.228i | 0.115730 | + | 0.317966i | 0.984011 | − | 0.178107i | \(-0.0569972\pi\) |
−0.868281 | + | 0.496073i | \(0.834775\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 18.5532 | + | 105.220i | 0.0440694 | + | 0.249930i | 0.998882 | − | 0.0472796i | \(-0.0150552\pi\) |
−0.954812 | + | 0.297209i | \(0.903944\pi\) | |||||||
\(422\) | −54.7053 | + | 2.56028i | −0.129633 | + | 0.00606702i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −620.504 | + | 485.466i | −1.46345 | + | 1.14497i | ||||
\(425\) | 32.7443 | − | 27.4757i | 0.0770454 | − | 0.0646488i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −934.714 | − | 164.815i | −2.18903 | − | 0.385984i | ||||
\(428\) | −53.4087 | − | 112.686i | −0.124787 | − | 0.263284i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −4.31323 | − | 19.1712i | −0.0100308 | − | 0.0445842i | ||||
\(431\) | − | 560.222i | − | 1.29982i | −0.760012 | − | 0.649910i | \(-0.774807\pi\) | ||
0.760012 | − | 0.649910i | \(-0.225193\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 381.789 | 0.881731 | 0.440865 | − | 0.897573i | \(-0.354672\pi\) | ||||
0.440865 | + | 0.897573i | \(0.354672\pi\) | |||||||
\(434\) | −3.55973 | + | 0.800887i | −0.00820215 | + | 0.00184536i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 226.229 | − | 107.224i | 0.518873 | − | 0.245926i | ||||
\(437\) | −33.3589 | + | 189.188i | −0.0763362 | + | 0.432924i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 310.625 | + | 370.189i | 0.707575 | + | 0.843255i | 0.993361 | − | 0.115038i | \(-0.0366991\pi\) |
−0.285786 | + | 0.958293i | \(0.592255\pi\) | |||||||
\(440\) | 10.2104 | + | 13.0505i | 0.0232054 | + | 0.0296603i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.18968 | + | 68.1536i | 0.00721648 | + | 0.154194i | ||||
\(443\) | 310.302 | − | 54.7146i | 0.700456 | − | 0.123509i | 0.187932 | − | 0.982182i | \(-0.439822\pi\) |
0.512524 | + | 0.858673i | \(0.328711\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 23.9825 | − | 8.72893i | 0.0538933 | − | 0.0196156i | ||||
\(446\) | −62.9798 | − | 48.0133i | −0.141210 | − | 0.107653i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 665.301 | − | 325.602i | 1.48505 | − | 0.726791i | ||||
\(449\) | −408.322 | + | 707.234i | −0.909402 | + | 1.57513i | −0.0945056 | + | 0.995524i | \(0.530127\pi\) |
−0.814897 | + | 0.579606i | \(0.803206\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −171.592 | + | 99.0687i | −0.380470 | + | 0.219665i | ||||
\(452\) | 138.295 | + | 503.478i | 0.305961 | + | 1.11389i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 687.919 | − | 287.474i | 1.51524 | − | 0.633204i | ||||
\(455\) | 31.7978 | − | 37.8951i | 0.0698852 | − | 0.0832859i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 48.2527 | + | 17.5625i | 0.105586 | + | 0.0384301i | 0.394273 | − | 0.918993i | \(-0.370996\pi\) |
−0.288687 | + | 0.957424i | \(0.593219\pi\) | |||||||
\(458\) | 483.923 | − | 310.429i | 1.05660 | − | 0.677793i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 24.5454 | + | 11.2590i | 0.0533596 | + | 0.0244760i | ||||
\(461\) | −559.359 | − | 203.590i | −1.21336 | − | 0.441627i | −0.345492 | − | 0.938422i | \(-0.612288\pi\) |
−0.867868 | + | 0.496795i | \(0.834510\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 277.457 | − | 330.660i | 0.599259 | − | 0.714169i | −0.378098 | − | 0.925766i | \(-0.623422\pi\) |
0.977357 | + | 0.211597i | \(0.0678663\pi\) | |||||||
\(464\) | −119.129 | + | 70.7852i | −0.256744 | + | 0.152554i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 218.970 | − | 702.151i | 0.469894 | − | 1.50676i | ||||
\(467\) | −654.186 | + | 377.694i | −1.40083 | + | 0.808767i | −0.994477 | − | 0.104951i | \(-0.966532\pi\) |
−0.406349 | + | 0.913718i | \(0.633198\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −307.848 | + | 533.208i | −0.656392 | + | 1.13690i | ||||
\(470\) | 11.7356 | − | 10.8215i | 0.0249693 | − | 0.0230245i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 88.9760 | − | 47.3865i | 0.188509 | − | 0.100395i | ||||
\(473\) | −415.161 | + | 151.106i | −0.877719 | + | 0.319464i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −150.082 | + | 26.4636i | −0.315963 | + | 0.0557128i | ||||
\(476\) | 64.6715 | − | 45.8903i | 0.135865 | − | 0.0964081i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −163.342 | + | 316.192i | −0.341719 | + | 0.661489i | ||||
\(479\) | 379.355 | + | 452.098i | 0.791974 | + | 0.943837i | 0.999408 | − | 0.0344117i | \(-0.0109557\pi\) |
−0.207434 | + | 0.978249i | \(0.566511\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −166.694 | + | 945.370i | −0.346558 | + | 1.96543i | ||||
\(482\) | 691.578 | + | 88.8439i | 1.43481 | + | 0.184323i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −78.3119 | + | 79.2998i | −0.161801 | + | 0.163843i | ||||
\(485\) | 5.27924 | 0.0108850 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 474.186i | − | 0.973688i | −0.873489 | − | 0.486844i | \(-0.838148\pi\) | ||
0.873489 | − | 0.486844i | \(-0.161852\pi\) | |||||||
\(488\) | −135.972 | + | 641.829i | −0.278631 | + | 1.31522i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −36.1652 | − | 4.64598i | −0.0738065 | − | 0.00948159i | ||||
\(491\) | −280.087 | − | 49.3868i | −0.570441 | − | 0.100584i | −0.119015 | − | 0.992892i | \(-0.537974\pi\) |
−0.451427 | + | 0.892308i | \(0.649085\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −11.3646 | + | 9.53602i | −0.0230519 | + | 0.0193428i | ||||
\(494\) | 111.646 | − | 216.120i | 0.226003 | − | 0.437490i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.469063 | + | 2.47812i | 0.000945692 | + | 0.00499620i | ||||
\(497\) | −152.131 | − | 862.777i | −0.306098 | − | 1.73597i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −128.475 | − | 352.983i | −0.257465 | − | 0.707380i | −0.999322 | − | 0.0368216i | \(-0.988277\pi\) |
0.741857 | − | 0.670559i | \(-0.233946\pi\) | |||||||
\(500\) | −3.46980 | + | 42.7441i | −0.00693960 | + | 0.0854883i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 188.272 | − | 173.608i | 0.375043 | − | 0.345832i | ||||
\(503\) | 461.157 | + | 266.249i | 0.916814 | + | 0.529323i | 0.882617 | − | 0.470092i | \(-0.155779\pi\) |
0.0341967 | + | 0.999415i | \(0.489113\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −5.07411 | − | 8.78861i | −0.0100477 | − | 0.0174032i | ||||
\(506\) | 180.757 | − | 579.617i | 0.357228 | − | 1.14549i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 68.8912 | − | 99.7113i | 0.135613 | − | 0.196282i | ||||
\(509\) | −142.299 | − | 119.403i | −0.279565 | − | 0.234583i | 0.492213 | − | 0.870475i | \(-0.336188\pi\) |
−0.771778 | + | 0.635892i | \(0.780633\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −106.006 | + | 291.250i | −0.207449 | + | 0.569962i | ||||
\(512\) | −209.196 | − | 467.312i | −0.408587 | − | 0.912719i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 450.606 | − | 289.057i | 0.876666 | − | 0.562368i | ||||
\(515\) | −3.90154 | + | 10.7194i | −0.00757581 | + | 0.0208144i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −274.940 | − | 230.702i | −0.531799 | − | 0.446232i | ||||
\(518\) | 1029.44 | − | 430.194i | 1.98734 | − | 0.830491i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −25.4268 | − | 22.8633i | −0.0488977 | − | 0.0439679i | ||||
\(521\) | −87.3646 | − | 151.320i | −0.167686 | − | 0.290441i | 0.769920 | − | 0.638141i | \(-0.220296\pi\) |
−0.937606 | + | 0.347700i | \(0.886963\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 721.777 | + | 416.718i | 1.38007 | + | 0.796784i | 0.992167 | − | 0.124916i | \(-0.0398662\pi\) |
0.387903 | + | 0.921700i | \(0.373200\pi\) | |||||||
\(524\) | 186.331 | − | 713.249i | 0.355593 | − | 1.36116i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 415.243 | + | 316.564i | 0.789435 | + | 0.601833i | ||||
\(527\) | 0.0923506 | + | 0.253731i | 0.000175238 | + | 0.000481463i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −79.9609 | − | 453.481i | −0.151155 | − | 0.857242i | ||||
\(530\) | −1.97623 | − | 42.2260i | −0.00372874 | − | 0.0796716i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −281.489 | + | 26.4060i | −0.529115 | + | 0.0496353i | ||||
\(533\) | 313.220 | − | 262.823i | 0.587656 | − | 0.493102i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 6.58927 | + | 1.16187i | 0.0123164 | + | 0.00217171i | ||||
\(536\) | 361.073 | + | 225.284i | 0.673644 | + | 0.420307i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −618.214 | + | 139.089i | −1.14910 | + | 0.258530i | ||||
\(539\) | 819.793i | 1.52095i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 313.109 | 0.578760 | 0.289380 | − | 0.957214i | \(-0.406551\pi\) | ||||
0.289380 | + | 0.957214i | \(0.406551\pi\) | |||||||
\(542\) | −77.2189 | − | 343.218i | −0.142470 | − | 0.633243i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −30.1724 | − | 45.7626i | −0.0554640 | − | 0.0841225i | ||||
\(545\) | −2.33257 | + | 13.2287i | −0.00427995 | + | 0.0242728i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 372.771 | + | 444.251i | 0.681482 | + | 0.812158i | 0.990297 | − | 0.138964i | \(-0.0443771\pi\) |
−0.308816 | + | 0.951122i | \(0.599933\pi\) | |||||||
\(548\) | 100.040 | − | 9.38455i | 0.182554 | − | 0.0171251i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 481.123 | − | 22.5172i | 0.874769 | − | 0.0409404i | ||||
\(551\) | 52.0892 | − | 9.18473i | 0.0945358 | − | 0.0166692i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1268.76 | − | 461.790i | 2.29432 | − | 0.835063i | ||||
\(554\) | 19.3933 | − | 25.4386i | 0.0350060 | − | 0.0459180i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 8.82552 | − | 33.7829i | 0.0158732 | − | 0.0607606i | ||||
\(557\) | 39.2530 | − | 67.9882i | 0.0704722 | − | 0.122061i | −0.828636 | − | 0.559788i | \(-0.810883\pi\) |
0.899108 | + | 0.437726i | \(0.144216\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 789.570 | − | 455.859i | 1.41247 | − | 0.815489i | ||||
\(560\) | −6.41007 | + | 39.2224i | −0.0114466 | + | 0.0700400i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 245.503 | + | 587.483i | 0.436839 | + | 1.04534i | ||||
\(563\) | −28.0423 | + | 33.4195i | −0.0498087 | + | 0.0593597i | −0.790374 | − | 0.612625i | \(-0.790114\pi\) |
0.740565 | + | 0.671985i | \(0.234558\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −26.3253 | − | 9.58163i | −0.0465935 | − | 0.0169586i | ||||
\(566\) | 222.425 | + | 346.735i | 0.392977 | + | 0.612606i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −599.631 | + | 84.6856i | −1.05569 | + | 0.149094i | ||||
\(569\) | 623.877 | + | 227.073i | 1.09645 | + | 0.399074i | 0.826005 | − | 0.563663i | \(-0.190608\pi\) |
0.270441 | + | 0.962737i | \(0.412831\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 316.761 | − | 377.501i | 0.554747 | − | 0.661122i | −0.413679 | − | 0.910423i | \(-0.635756\pi\) |
0.968426 | + | 0.249301i | \(0.0802009\pi\) | |||||||
\(572\) | −437.010 | + | 632.516i | −0.764003 | + | 1.10580i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −453.676 | − | 141.482i | −0.790376 | − | 0.246484i | ||||
\(575\) | 679.786 | − | 392.475i | 1.18224 | − | 0.682565i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −4.25933 | + | 7.37738i | −0.00738186 | + | 0.0127858i | −0.869693 | − | 0.493594i | \(-0.835683\pi\) |
0.862311 | + | 0.506379i | \(0.169016\pi\) | |||||||
\(578\) | 387.847 | + | 420.606i | 0.671015 | + | 0.727692i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.601578 | − | 7.41078i | 0.00103720 | − | 0.0127772i | ||||
\(581\) | −1224.34 | + | 445.623i | −2.10730 | + | 0.766993i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −935.977 | + | 165.038i | −1.60545 | + | 0.283084i | ||||
\(584\) | 198.696 | + | 80.1225i | 0.340234 | + | 0.137196i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −171.936 | − | 88.8203i | −0.293406 | − | 0.151571i | ||||
\(587\) | −265.990 | − | 316.994i | −0.453134 | − | 0.540024i | 0.490313 | − | 0.871546i | \(-0.336882\pi\) |
−0.943447 | + | 0.331522i | \(0.892438\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.167169 | − | 0.948061i | 0.000283818 | − | 0.00160961i | ||||
\(590\) | −0.689190 | + | 5.36479i | −0.00116812 | + | 0.00909286i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −272.837 | − | 721.347i | −0.460874 | − | 1.21849i | ||||
\(593\) | 105.821 | 0.178450 | 0.0892252 | − | 0.996011i | \(-0.471561\pi\) | ||||
0.0892252 | + | 0.996011i | \(0.471561\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 4.25481i | 0.00715094i | ||||||||
\(596\) | 27.2821 | − | 27.6263i | 0.0457753 | − | 0.0463528i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −159.645 | + | 1242.71i | −0.266965 | + | 2.07811i | ||||
\(599\) | 430.103 | + | 75.8387i | 0.718035 | + | 0.126609i | 0.520715 | − | 0.853730i | \(-0.325665\pi\) |
0.197319 | + | 0.980339i | \(0.436776\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −756.042 | + | 634.394i | −1.25797 | + | 1.05556i | −0.262078 | + | 0.965047i | \(0.584408\pi\) |
−0.995895 | + | 0.0905178i | \(0.971148\pi\) | |||||||
\(602\) | −941.452 | − | 486.345i | −1.56387 | − | 0.807882i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 306.437 | − | 217.445i | 0.507346 | − | 0.360008i | ||||
\(605\) | −1.03840 | − | 5.88907i | −0.00171637 | − | 0.00973400i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 258.006 | + | 708.866i | 0.425051 | + | 1.16782i | 0.948781 | + | 0.315934i | \(0.102318\pi\) |
−0.523730 | + | 0.851884i | \(0.675460\pi\) | |||||||
\(608\) | 11.5828 | + | 195.086i | 0.0190507 | + | 0.320864i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −23.8632 | − | 25.8789i | −0.0391201 | − | 0.0424244i | ||||
\(611\) | 641.422 | + | 370.325i | 1.04979 | + | 0.606097i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 88.3953 | + | 153.105i | 0.144201 | + | 0.249764i | 0.929075 | − | 0.369892i | \(-0.120605\pi\) |
−0.784874 | + | 0.619656i | \(0.787272\pi\) | |||||||
\(614\) | 516.321 | + | 161.018i | 0.840914 | + | 0.262245i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 893.022 | + | 30.5811i | 1.44971 | + | 0.0496447i | ||||
\(617\) | 385.320 | + | 323.322i | 0.624506 | + | 0.524023i | 0.899216 | − | 0.437504i | \(-0.144138\pi\) |
−0.274710 | + | 0.961527i | \(0.588582\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 82.2498 | − | 225.980i | 0.132875 | − | 0.365072i | −0.855356 | − | 0.518041i | \(-0.826661\pi\) |
0.988231 | + | 0.152969i | \(0.0488836\pi\) | |||||||
\(620\) | −0.123002 | − | 0.0564210i | −0.000198391 | − | 9.10016e-5i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −20.8350 | − | 32.4794i | −0.0334968 | − | 0.0522177i | ||||
\(623\) | 470.709 | − | 1293.26i | 0.755552 | − | 2.07586i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 476.133 | + | 399.523i | 0.761813 | + | 0.639237i | ||||
\(626\) | 374.378 | + | 895.877i | 0.598048 | + | 1.43111i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 142.831 | + | 519.994i | 0.227438 | + | 0.828016i | ||||
\(629\) | −41.2830 | − | 71.5043i | −0.0656328 | − | 0.113679i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −72.3715 | − | 41.7837i | −0.114693 | − | 0.0662182i | 0.441556 | − | 0.897234i | \(-0.354427\pi\) |
−0.556249 | + | 0.831016i | \(0.687760\pi\) | |||||||
\(632\) | −289.003 | − | 887.420i | −0.457283 | − | 1.40415i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −664.848 | + | 872.093i | −1.04866 | + | 1.37554i | ||||
\(635\) | 2.22408 | + | 6.11062i | 0.00350249 | + | 0.00962302i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −293.768 | − | 1666.04i | −0.461174 | − | 2.61545i | ||||
\(638\) | −166.984 | + | 7.81506i | −0.261730 | + | 0.0122493i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 26.9443 | + | 5.35616i | 0.0421005 | + | 0.00836899i | ||||
\(641\) | 709.440 | − | 595.291i | 1.10677 | − | 0.928691i | 0.108909 | − | 0.994052i | \(-0.465264\pi\) |
0.997862 | + | 0.0653607i | \(0.0208198\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −0.379828 | − | 0.0669739i | −0.000590712 | − | 0.000104159i | 0.173353 | − | 0.984860i | \(-0.444540\pi\) |
−0.173944 | + | 0.984756i | \(0.555651\pi\) | |||||||
\(644\) | 1315.90 | − | 623.686i | 2.04333 | − | 0.968457i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 4.59244 | + | 20.4122i | 0.00710903 | + | 0.0315978i | ||||
\(647\) | 295.175i | 0.456222i | 0.973635 | + | 0.228111i | \(0.0732549\pi\) | ||||
−0.973635 | + | 0.228111i | \(0.926745\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 121.609 | 0.187379 | ||||||||
\(650\) | −969.701 | + | 218.168i | −1.49185 | + | 0.335643i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 346.989 | + | 732.105i | 0.532192 | + | 1.12286i | ||||
\(653\) | 19.2754 | − | 109.316i | 0.0295182 | − | 0.167406i | −0.966485 | − | 0.256723i | \(-0.917357\pi\) |
0.996003 | + | 0.0893167i | \(0.0284683\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 25.4248 | + | 30.3001i | 0.0388165 | + | 0.0462597i | ||||
\(656\) | −108.472 | + | 310.066i | −0.165354 | + | 0.472661i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −40.2439 | − | 859.887i | −0.0611609 | − | 1.30682i | ||||
\(659\) | −1084.88 | + | 191.294i | −1.64626 | + | 0.290280i | −0.918461 | − | 0.395512i | \(-0.870567\pi\) |
−0.727797 | + | 0.685792i | \(0.759456\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 471.148 | − | 171.484i | 0.712781 | − | 0.259431i | 0.0399230 | − | 0.999203i | \(-0.487289\pi\) |
0.672858 | + | 0.739772i | \(0.265067\pi\) | |||||||
\(662\) | −863.961 | − | 658.649i | −1.30508 | − | 0.994938i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 278.885 | + | 856.352i | 0.420008 | + | 1.28969i | ||||
\(665\) | 7.58485 | − | 13.1373i | 0.0114058 | − | 0.0197554i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −235.934 | + | 136.217i | −0.353724 | + | 0.204223i | ||||
\(668\) | 575.877 | − | 158.181i | 0.862092 | − | 0.236798i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −21.0695 | + | 8.80472i | −0.0314470 | + | 0.0131414i | ||||
\(671\) | −508.735 | + | 606.287i | −0.758175 | + | 0.903558i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −745.558 | − | 271.361i | −1.10781 | − | 0.403211i | −0.277622 | − | 0.960690i | \(-0.589546\pi\) |
−0.830190 | + | 0.557480i | \(0.811768\pi\) | |||||||
\(674\) | 335.795 | − | 215.408i | 0.498213 | − | 0.319596i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 379.618 | − | 827.598i | 0.561565 | − | 1.22426i | ||||
\(677\) | 524.604 | + | 190.940i | 0.774896 | + | 0.282039i | 0.699043 | − | 0.715080i | \(-0.253610\pi\) |
0.0758531 | + | 0.997119i | \(0.475832\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 182.991 | − | 218.080i | 0.269501 | − | 0.321179i | ||||
\(680\) | 2.93935 | + | 0.100657i | 0.00432257 | + | 0.000148025i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.905813 | + | 2.90458i | −0.00132817 | + | 0.00425892i | ||||
\(683\) | 921.593 | − | 532.082i | 1.34933 | − | 0.779037i | 0.361176 | − | 0.932498i | \(-0.382375\pi\) |
0.988155 | + | 0.153461i | \(0.0490419\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −2.69562 | + | 4.66894i | −0.00393520 | + | 0.00681597i | ||||
\(686\) | −611.679 | + | 564.037i | −0.891660 | + | 0.822211i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −358.253 | + | 638.877i | −0.520717 | + | 0.928601i | ||||
\(689\) | 1843.02 | − | 670.803i | 2.67491 | − | 0.973589i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −135.724 | + | 23.9318i | −0.196417 | + | 0.0346336i | −0.270991 | − | 0.962582i | \(-0.587351\pi\) |
0.0745742 | + | 0.997215i | \(0.476240\pi\) | |||||||
\(692\) | −723.698 | − | 1019.88i | −1.04581 | − | 1.47382i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 28.5530 | − | 55.2721i | 0.0411427 | − | 0.0796427i | ||||
\(695\) | 1.20424 | + | 1.43516i | 0.00173272 | + | 0.00206497i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −6.10685 | + | 34.6337i | −0.00876163 | + | 0.0496897i | ||||
\(698\) | −383.617 | − | 49.2815i | −0.549594 | − | 0.0706039i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 821.966 | + | 811.726i | 1.17424 | + | 1.15961i | ||||
\(701\) | −1148.72 | −1.63869 | −0.819347 | − | 0.573298i | \(-0.805664\pi\) | ||||
−0.819347 | + | 0.573298i | \(0.805664\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 294.373i | 0.418738i | ||||||||
\(704\) | 42.2527 | − | 616.202i | 0.0600181 | − | 0.875287i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 523.069 | + | 67.1963i | 0.740891 | + | 0.0951789i | ||||
\(707\) | −538.930 | − | 95.0280i | −0.762278 | − | 0.134410i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 166.685 | − | 139.866i | 0.235099 | − | 0.197272i | −0.517625 | − | 0.855608i | \(-0.673184\pi\) |
0.752724 | + | 0.658336i | \(0.228739\pi\) | |||||||
\(710\) | 14.9130 | − | 28.8682i | 0.0210043 | − | 0.0406595i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −882.288 | − | 355.775i | −1.23917 | − | 0.499683i | ||||
\(713\) | 0.861030 | + | 4.88315i | 0.00120762 | + | 0.00684873i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −14.1084 | − | 38.7625i | −0.0197320 | − | 0.0542133i | ||||
\(716\) | −107.060 | − | 8.69072i | −0.149525 | − | 0.0121379i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 424.874 | − | 391.782i | 0.591746 | − | 0.545657i | ||||
\(719\) | −532.823 | − | 307.625i | −0.741061 | − | 0.427852i | 0.0813939 | − | 0.996682i | \(-0.474063\pi\) |
−0.822455 | + | 0.568830i | \(0.807396\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 307.572 | + | 532.730i | 0.426591 | + | 0.738877i | ||||
\(722\) | −192.742 | + | 618.048i | −0.266956 | + | 0.856023i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −948.076 | − | 655.032i | −1.30950 | − | 0.904741i | ||||
\(725\) | −165.558 | − | 138.920i | −0.228356 | − | 0.191613i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −263.701 | + | 724.511i | −0.362724 | + | 0.996577i | 0.615338 | + | 0.788264i | \(0.289020\pi\) |
−0.978062 | + | 0.208313i | \(0.933203\pi\) | |||||||
\(728\) | −1825.82 | + | 257.860i | −2.50799 | + | 0.354203i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −9.67560 | + | 6.20675i | −0.0132542 | + | 0.00850240i | ||||
\(731\) | −26.8203 | + | 73.6881i | −0.0366898 | + | 0.100804i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −542.102 | − | 454.878i | −0.739566 | − | 0.620570i | 0.193155 | − | 0.981168i | \(-0.438128\pi\) |
−0.932721 | + | 0.360598i | \(0.882572\pi\) | |||||||
\(734\) | −830.139 | + | 346.907i | −1.13098 | + | 0.472625i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −399.730 | − | 923.818i | −0.543112 | − | 1.25519i | ||||
\(737\) | 256.704 | + | 444.625i | 0.348310 | + | 0.603291i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 328.811 | + | 189.839i | 0.444940 | + | 0.256887i | 0.705691 | − | 0.708520i | \(-0.250637\pi\) |
−0.260751 | + | 0.965406i | \(0.583970\pi\) | |||||||
\(740\) | 40.0365 | + | 10.4592i | 0.0541033 | + | 0.0141341i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −1812.82 | − | 1382.02i | −2.44315 | − | 1.86256i | ||||
\(743\) | 410.605 | + | 1128.13i | 0.552631 | + | 1.51834i | 0.830104 | + | 0.557608i | \(0.188281\pi\) |
−0.277473 | + | 0.960733i | \(0.589497\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.361755 | + | 2.05162i | 0.000485578 | + | 0.00275385i | ||||
\(746\) | 21.9567 | + | 469.146i | 0.0294326 | + | 0.628883i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −6.17594 | − | 65.8358i | −0.00825660 | − | 0.0880158i | ||||
\(749\) | 276.396 | − | 231.924i | 0.369020 | − | 0.309644i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −338.515 | − | 59.6894i | −0.450753 | − | 0.0794799i | −0.0563366 | − | 0.998412i | \(-0.517942\pi\) |
−0.394416 | + | 0.918932i | \(0.629053\pi\) | |||||||
\(752\) | −594.987 | + | 7.45919i | −0.791206 | + | 0.00991913i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 336.555 | − | 75.7198i | 0.446359 | − | 0.100424i | ||||
\(755\) | 20.1608i | 0.0267031i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −185.105 | −0.244525 | −0.122262 | − | 0.992498i | \(-0.539015\pi\) | ||||
−0.122262 | + | 0.992498i | \(0.539015\pi\) | |||||||
\(758\) | −10.7819 | − | 47.9226i | −0.0142241 | − | 0.0632225i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −8.89623 | − | 5.55063i | −0.0117056 | − | 0.00730346i | ||||
\(761\) | −107.060 | + | 607.165i | −0.140683 | + | 0.797851i | 0.830050 | + | 0.557689i | \(0.188312\pi\) |
−0.970733 | + | 0.240162i | \(0.922799\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 465.612 | + | 554.894i | 0.610238 | + | 0.727253i | ||||
\(764\) | 84.2308 | + | 897.904i | 0.110250 | + | 1.17527i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −1189.00 | + | 55.6468i | −1.55222 | + | 0.0726460i | ||||
\(767\) | −247.142 | + | 43.5778i | −0.322219 | + | 0.0568160i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 120.247 | − | 43.7664i | 0.156368 | − | 0.0569134i | −0.262650 | − | 0.964891i | \(-0.584596\pi\) |
0.419018 | + | 0.907978i | \(0.362374\pi\) | |||||||
\(770\) | −29.0668 | + | 38.1274i | −0.0377491 | + | 0.0495161i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −797.684 | − | 208.389i | −1.03327 | − | 0.269934i | ||||
\(773\) | 156.807 | − | 271.599i | 0.202856 | − | 0.351356i | −0.746592 | − | 0.665283i | \(-0.768311\pi\) |
0.949447 | + | 0.313926i | \(0.101644\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −3.40655 | + | 1.96677i | −0.00439555 | + | 0.00253777i | ||||
\(776\) | −146.327 | − | 131.575i | −0.188566 | − | 0.169555i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 255.912 | + | 612.391i | 0.328936 | + | 0.787135i | ||||
\(779\) | 80.5956 | − | 96.0501i | 0.103460 | − | 0.123299i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −686.484 | − | 249.860i | −0.878980 | − | 0.319923i | ||||
\(782\) | −58.1863 | − | 90.7057i | −0.0744071 | − | 0.115992i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 886.617 | + | 1030.12i | 1.13089 | + | 1.31393i | ||||
\(785\) | −27.1889 | − | 9.89596i | −0.0346356 | − | 0.0126063i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 335.127 | − | 399.389i | 0.425828 | − | 0.507483i | −0.509886 | − | 0.860242i | \(-0.670312\pi\) |
0.935714 | + | 0.352760i | \(0.114757\pi\) | |||||||
\(788\) | 414.919 | + | 286.670i | 0.526547 | + | 0.363795i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 47.8055 | + | 14.9084i | 0.0605132 | + | 0.0188715i | ||||
\(791\) | −1308.31 | + | 755.352i | −1.65399 | + | 0.954934i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 816.627 | − | 1414.44i | 1.02979 | − | 1.78366i | ||||
\(794\) | −115.873 | − | 125.660i | −0.145935 | − | 0.158262i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −297.145 | − | 24.1210i | −0.373297 | − | 0.0303028i | ||||
\(797\) | 260.173 | − | 94.6953i | 0.326441 | − | 0.118815i | −0.173601 | − | 0.984816i | \(-0.555540\pi\) |
0.500041 | + | 0.866001i | \(0.333318\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −62.7359 | + | 11.0620i | −0.0785180 | + | 0.0138448i | ||||
\(800\) | 580.210 | − | 548.635i | 0.725262 | − | 0.685794i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −299.266 | − | 154.598i | −0.373149 | − | 0.192765i | ||||
\(803\) | 166.129 | + | 197.985i | 0.206885 | + | 0.246556i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −13.5678 | + | 76.9470i | −0.0168545 | + | 0.0955864i | ||||
\(806\) | 0.800016 | − | 6.22748i | 0.000992576 | − | 0.00772640i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −78.3977 | + | 370.061i | −0.0970268 | + | 0.457996i | ||||
\(809\) | −638.629 | −0.789405 | −0.394702 | − | 0.918809i | \(-0.629152\pi\) | ||||
−0.394702 | + | 0.918809i | \(0.629152\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 260.263i | − | 0.320916i | −0.987043 | − | 0.160458i | \(-0.948703\pi\) | ||
0.987043 | − | 0.160458i | \(-0.0512971\pi\) | |||||||
\(812\) | −285.280 | − | 281.726i | −0.351331 | − | 0.346954i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 118.545 | − | 922.776i | 0.145633 | − | 1.13363i | ||||
\(815\) | −42.8097 | − | 7.54850i | −0.0525272 | − | 0.00926196i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 214.172 | − | 179.711i | 0.262144 | − | 0.219965i | ||||
\(818\) | −247.203 | − | 127.703i | −0.302204 | − | 0.156116i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −10.1998 | − | 14.3742i | −0.0124388 | − | 0.0175295i | ||||
\(821\) | 179.659 | + | 1018.90i | 0.218830 | + | 1.24104i | 0.874136 | + | 0.485681i | \(0.161428\pi\) |
−0.655307 | + | 0.755363i | \(0.727461\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −206.443 | − | 567.198i | −0.250842 | − | 0.689183i | −0.999652 | − | 0.0263979i | \(-0.991596\pi\) |
0.748809 | − | 0.662786i | \(-0.230626\pi\) | |||||||
\(824\) | 375.302 | − | 199.877i | 0.455463 | − | 0.242569i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 197.726 | + | 214.427i | 0.239377 | + | 0.259596i | ||||
\(827\) | 584.555 | + | 337.493i | 0.706838 | + | 0.408093i | 0.809889 | − | 0.586583i | \(-0.199527\pi\) |
−0.103051 | + | 0.994676i | \(0.532860\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 109.326 | + | 189.359i | 0.131877 | + | 0.228418i | 0.924400 | − | 0.381424i | \(-0.124566\pi\) |
−0.792523 | + | 0.609842i | \(0.791233\pi\) | |||||||
\(830\) | −46.1318 | − | 14.3865i | −0.0555805 | − | 0.0173331i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 134.943 | + | 1267.43i | 0.162192 | + | 1.52335i | ||||
\(833\) | 111.465 | + | 93.5303i | 0.133812 | + | 0.112281i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −10.9595 | + | 30.1109i | −0.0131251 | + | 0.0360609i | ||||
\(836\) | −98.2932 | + | 214.287i | −0.117576 | + | 0.256324i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 153.103 | + | 238.670i | 0.182701 | + | 0.284809i | ||||
\(839\) | 257.800 | − | 708.300i | 0.307270 | − | 0.844219i | −0.685916 | − | 0.727681i | \(-0.740598\pi\) |
0.993186 | − | 0.116538i | \(-0.0371796\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −586.783 | − | 492.369i | −0.697721 | − | 0.585457i | ||||
\(842\) | 82.3929 | + | 197.164i | 0.0978538 | + | 0.234162i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −105.618 | + | 29.0111i | −0.125140 | + | 0.0343734i | ||||
\(845\) | 24.4269 | + | 42.3086i | 0.0289075 | + | 0.0500693i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −279.266 | − | 161.234i | −0.329711 | − | 0.190359i | ||||
\(848\) | −997.626 | + | 1219.65i | −1.17645 | + | 1.43827i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 51.8298 | − | 67.9860i | 0.0609762 | − | 0.0799835i | ||||
\(851\) | −518.577 | − | 1424.78i | −0.609374 | − | 1.67424i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 198.372 | + | 1125.02i | 0.232558 | + | 1.31890i | 0.847696 | + | 0.530482i | \(0.177989\pi\) |
−0.615138 | + | 0.788419i | \(0.710900\pi\) | |||||||
\(854\) | −1896.19 | + | 88.7443i | −2.22036 | + | 0.103916i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −153.681 | − | 196.429i | −0.179534 | − | 0.229473i | ||||
\(857\) | 226.349 | − | 189.929i | 0.264117 | − | 0.221621i | −0.501106 | − | 0.865386i | \(-0.667073\pi\) |
0.765223 | + | 0.643765i | \(0.222629\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −156.184 | − | 27.5395i | −0.181821 | − | 0.0320600i | 0.0819961 | − | 0.996633i | \(-0.473870\pi\) |
−0.263817 | + | 0.964573i | \(0.584982\pi\) | |||||||
\(860\) | −16.8322 | − | 35.5138i | −0.0195723 | − | 0.0412952i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −245.936 | − | 1093.12i | −0.285308 | − | 1.26812i | ||||
\(863\) | 222.807i | 0.258177i | 0.991633 | + | 0.129089i | \(0.0412052\pi\) | ||||
−0.991633 | + | 0.129089i | \(0.958795\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 67.0992 | 0.0775713 | ||||||||
\(866\) | 744.957 | − | 167.604i | 0.860228 | − | 0.193538i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −6.59426 | + | 3.12542i | −0.00759707 | + | 0.00360072i | ||||
\(869\) | 195.506 | − | 1108.77i | 0.224978 | − | 1.27592i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −681.021 | − | 811.609i | −0.781884 | − | 0.931813i | ||||
\(872\) | 394.352 | − | 308.531i | 0.452239 | − | 0.353820i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 17.9620 | + | 383.793i | 0.0205515 | + | 0.439122i | ||||
\(875\) | −122.197 | + | 21.5465i | −0.139653 | + | 0.0246246i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −443.850 | + | 161.548i | −0.506100 | + | 0.184205i | −0.582436 | − | 0.812877i | \(-0.697900\pi\) |
0.0763355 | + | 0.997082i | \(0.475678\pi\) | |||||||
\(878\) | 768.612 | + | 585.959i | 0.875412 | + | 0.667379i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 25.6519 | + | 20.9822i | 0.0291499 | + | 0.0238434i | ||||
\(881\) | −40.2626 | + | 69.7369i | −0.0457010 | + | 0.0791565i | −0.887971 | − | 0.459899i | \(-0.847885\pi\) |
0.842270 | + | 0.539056i | \(0.181219\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 820.367 | − | 473.639i | 0.929068 | − | 0.536398i | 0.0425516 | − | 0.999094i | \(-0.486451\pi\) |
0.886517 | + | 0.462696i | \(0.153118\pi\) | |||||||
\(884\) | 36.1430 | + | 131.583i | 0.0408857 | + | 0.148849i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 581.449 | − | 242.982i | 0.656264 | − | 0.274246i | ||||
\(887\) | −422.053 | + | 502.984i | −0.475821 | + | 0.567062i | −0.949553 | − | 0.313608i | \(-0.898462\pi\) |
0.473731 | + | 0.880669i | \(0.342907\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 329.516 | + | 119.934i | 0.370659 | + | 0.134909i | ||||
\(890\) | 42.9634 | − | 27.5604i | 0.0482734 | − | 0.0309667i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −143.966 | − | 66.0368i | −0.161396 | − | 0.0740323i | ||||
\(893\) | 213.426 | + | 77.6806i | 0.238999 | + | 0.0869884i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 3.70454 | − | 4.41490i | 0.00413915 | − | 0.00493285i | ||||
\(896\) | 1155.21 | − | 927.388i | 1.28930 | − | 1.03503i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −486.254 | + | 1559.22i | −0.541486 | + | 1.73633i | ||||
\(899\) | 1.18231 | − | 0.682610i | 0.00131514 | − | 0.000759299i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −84.3460 | + | 146.092i | −0.0936138 | + | 0.162144i | ||||
\(902\) | −291.324 | + | 268.634i | −0.322976 | + | 0.297820i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 490.869 | + | 921.688i | 0.542997 | + | 1.01957i | ||||
\(905\) | 58.1010 | − | 21.1471i | 0.0642001 | − | 0.0233669i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 1463.07 | − | 257.979i | 1.61309 | − | 0.284431i | 0.706902 | − | 0.707312i | \(-0.250092\pi\) |
0.906185 | + | 0.422881i | \(0.138981\pi\) | |||||||
\(908\) | 1216.08 | − | 862.921i | 1.33930 | − | 0.950354i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 45.4088 | − | 87.9010i | 0.0498998 | − | 0.0965945i | ||||
\(911\) | 654.039 | + | 779.454i | 0.717936 | + | 0.855603i | 0.994428 | − | 0.105413i | \(-0.0336166\pi\) |
−0.276493 | + | 0.961016i | \(0.589172\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −188.662 | + | 1069.95i | −0.206639 | + | 1.17191i | ||||
\(914\) | 101.862 | + | 13.0857i | 0.111446 | + | 0.0143170i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 807.965 | − | 818.158i | 0.882058 | − | 0.893186i | ||||
\(917\) | 2132.96 | 2.32602 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 320.861i | − | 0.349141i | −0.984645 | − | 0.174571i | \(-0.944146\pi\) | ||
0.984645 | − | 0.174571i | \(-0.0558537\pi\) | |||||||
\(920\) | 52.8363 | + | 11.1934i | 0.0574307 | + | 0.0121667i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −1180.81 | − | 151.693i | −1.28071 | − | 0.164526i | ||||
\(923\) | 1484.65 | + | 261.785i | 1.60851 | + | 0.283624i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 921.408 | − | 773.153i | 0.996117 | − | 0.835841i | ||||
\(926\) | 396.222 | − | 766.995i | 0.427886 | − | 0.828289i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −201.374 | + | 190.415i | −0.216998 | + | 0.205189i | ||||
\(929\) | 57.4894 | + | 326.039i | 0.0618831 | + | 0.350957i | 0.999989 | + | 0.00460898i | \(0.00146709\pi\) |
−0.938106 | + | 0.346348i | \(0.887422\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −177.433 | − | 487.492i | −0.190583 | − | 0.523622i | ||||
\(932\) | 119.019 | − | 1466.18i | 0.127703 | − | 1.57316i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −1110.66 | + | 1024.15i | −1.18914 | + | 1.09652i | ||||
\(935\) | 3.07262 | + | 1.77398i | 0.00328622 | + | 0.00189730i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −663.749 | − | 1149.65i | −0.708376 | − | 1.22694i | −0.965459 | − | 0.260554i | \(-0.916095\pi\) |
0.257083 | − | 0.966389i | \(-0.417239\pi\) | |||||||
\(938\) | −366.604 | + | 1175.55i | −0.390836 | + | 1.25326i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 18.1481 | − | 26.2671i | 0.0193065 | − | 0.0279438i | ||||
\(941\) | −292.985 | − | 245.844i | −0.311355 | − | 0.261258i | 0.473697 | − | 0.880688i | \(-0.342919\pi\) |
−0.785052 | + | 0.619430i | \(0.787364\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −220.881 | + | 606.867i | −0.234233 | + | 0.643549i | ||||
\(944\) | 152.810 | − | 131.522i | 0.161875 | − | 0.139324i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −743.738 | + | 477.097i | −0.786192 | + | 0.504331i | ||||
\(947\) | −108.937 | + | 299.302i | −0.115034 | + | 0.316053i | −0.983827 | − | 0.179123i | \(-0.942674\pi\) |
0.868793 | + | 0.495176i | \(0.164896\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −408.565 | − | 342.827i | −0.430522 | − | 0.361251i | ||||
\(950\) | −281.227 | + | 117.522i | −0.296029 | + | 0.123707i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 106.043 | − | 117.933i | 0.111390 | − | 0.123879i | ||||
\(953\) | −61.8869 | − | 107.191i | −0.0649391 | − | 0.112478i | 0.831728 | − | 0.555183i | \(-0.187352\pi\) |
−0.896667 | + | 0.442706i | \(0.854019\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −41.9060 | − | 24.1944i | −0.0438806 | − | 0.0253345i | ||||
\(956\) | −179.909 | + | 688.668i | −0.188189 | + | 0.720364i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 938.677 | + | 715.610i | 0.979830 | + | 0.746983i | ||||
\(959\) | 99.4332 | + | 273.190i | 0.103684 | + | 0.284870i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 166.872 | + | 946.376i | 0.173644 | + | 0.984782i | ||||
\(962\) | 89.7560 | + | 1917.81i | 0.0933015 | + | 1.99356i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 1388.43 | − | 130.246i | 1.44028 | − | 0.135110i | ||||
\(965\) | 33.8871 | − | 28.4346i | 0.0351161 | − | 0.0294659i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 59.4973 | + | 10.4910i | 0.0615277 | + | 0.0108490i | 0.204327 | − | 0.978903i | \(-0.434499\pi\) |
−0.142800 | + | 0.989752i | \(0.545610\pi\) | |||||||
\(968\) | −117.992 | + | 189.111i | −0.121892 | + | 0.195362i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 10.3010 | − | 2.31757i | 0.0106196 | − | 0.00238924i | ||||
\(971\) | 670.687i | 0.690718i | 0.938471 | + | 0.345359i | \(0.112243\pi\) | ||||
−0.938471 | + | 0.345359i | \(0.887757\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 101.027 | 0.103830 | ||||||||
\(974\) | −208.166 | − | 925.244i | −0.213723 | − | 0.949943i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 16.4487 | + | 1312.04i | 0.0168532 | + | 1.34431i | ||||
\(977\) | −123.095 | + | 698.106i | −0.125993 | + | 0.714540i | 0.854721 | + | 0.519088i | \(0.173728\pi\) |
−0.980713 | + | 0.195452i | \(0.937383\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −737.676 | − | 879.128i | −0.753500 | − | 0.897986i | ||||
\(980\) | −72.6060 | + | 6.81104i | −0.0740878 | + | 0.00695004i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −568.193 | + | 26.5922i | −0.578608 | + | 0.0270796i | ||||
\(983\) | −668.074 | + | 117.799i | −0.679628 | + | 0.119837i | −0.502797 | − | 0.864405i | \(-0.667696\pi\) |
−0.176831 | + | 0.984241i | \(0.556585\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −25.4275 | + | 9.25486i | −0.0258147 | + | 0.00939579i | ||||
\(986\) | −17.9886 | + | 23.5959i | −0.0182440 | + | 0.0239310i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 122.970 | − | 470.711i | 0.124463 | − | 0.476429i | ||||
\(989\) | −720.015 | + | 1247.10i | −0.728023 | + | 1.26097i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1062.37 | − | 613.362i | 1.07202 | − | 0.618932i | 0.143289 | − | 0.989681i | \(-0.454232\pi\) |
0.928733 | + | 0.370749i | \(0.120899\pi\) | |||||||
\(992\) | 2.00313 | + | 4.62945i | 0.00201929 | + | 0.00466678i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −675.598 | − | 1616.69i | −0.679676 | − | 1.62645i | ||||
\(995\) | 10.2819 | − | 12.2535i | 0.0103336 | − | 0.0123151i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 1118.16 | + | 406.977i | 1.12152 | + | 0.408202i | 0.835209 | − | 0.549933i | \(-0.185347\pi\) |
0.286316 | + | 0.958135i | \(0.407569\pi\) | |||||||
\(998\) | −405.642 | − | 632.349i | −0.406455 | − | 0.633616i | ||||
\(999\) | 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.307.33 | 204 | ||
3.2 | odd | 2 | 108.3.j.a.31.2 | yes | 204 | ||
4.3 | odd | 2 | inner | 324.3.j.a.307.26 | 204 | ||
12.11 | even | 2 | 108.3.j.a.31.9 | yes | 204 | ||
27.7 | even | 9 | inner | 324.3.j.a.19.26 | 204 | ||
27.20 | odd | 18 | 108.3.j.a.7.9 | yes | 204 | ||
108.7 | odd | 18 | inner | 324.3.j.a.19.33 | 204 | ||
108.47 | even | 18 | 108.3.j.a.7.2 | ✓ | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.3.j.a.7.2 | ✓ | 204 | 108.47 | even | 18 | ||
108.3.j.a.7.9 | yes | 204 | 27.20 | odd | 18 | ||
108.3.j.a.31.2 | yes | 204 | 3.2 | odd | 2 | ||
108.3.j.a.31.9 | yes | 204 | 12.11 | even | 2 | ||
324.3.j.a.19.26 | 204 | 27.7 | even | 9 | inner | ||
324.3.j.a.19.33 | 204 | 108.7 | odd | 18 | inner | ||
324.3.j.a.307.26 | 204 | 4.3 | odd | 2 | inner | ||
324.3.j.a.307.33 | 204 | 1.1 | even | 1 | trivial |