Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1197,2,Mod(172,1197)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1197, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1197.172");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1197 = 3^{2} \cdot 7 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1197.j (of order \(3\), degree \(2\), 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: | \(9.55809312195\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 13 x^{14} - 2 x^{13} + 118 x^{12} - 16 x^{11} + 534 x^{10} - 21 x^{9} + 1743 x^{8} - 101 x^{7} + \cdots + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 399) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 856.7 | ||
Root | \(1.14143 - 1.97701i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1197.856 |
Dual form | 1197.2.j.m.172.7 |
$q$-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 \(\left(\mathbb{Z}/1197\mathbb{Z}\right)^\times\).
\(n\) | \(514\) | \(533\) | \(1009\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.14143 | − | 1.97701i | 0.807110 | − | 1.39795i | −0.107748 | − | 0.994178i | \(-0.534364\pi\) |
0.914858 | − | 0.403776i | \(-0.132303\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.60570 | − | 2.78116i | −0.802852 | − | 1.39058i | ||||
\(5\) | −1.27263 | + | 2.20425i | −0.569136 | + | 0.985772i | 0.427516 | + | 0.904008i | \(0.359389\pi\) |
−0.996652 | + | 0.0817643i | \(0.973945\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.54832 | − | 0.711380i | −0.963175 | − | 0.268876i | ||||
\(8\) | −2.76546 | −0.977737 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.90522 | + | 5.03198i | 0.918710 | + | 1.59125i | ||||
\(11\) | 1.64814 | + | 2.85466i | 0.496933 | + | 0.860713i | 0.999994 | − | 0.00353776i | \(-0.00112611\pi\) |
−0.503061 | + | 0.864251i | \(0.667793\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.96243 | −1.37633 | −0.688166 | − | 0.725553i | \(-0.741584\pi\) | ||||
−0.688166 | + | 0.725553i | \(0.741584\pi\) | |||||||
\(14\) | −4.31512 | + | 4.22606i | −1.15326 | + | 1.12946i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.0548414 | − | 0.0949880i | 0.0137103 | − | 0.0237470i | ||||
\(17\) | 2.79818 | + | 4.84659i | 0.678658 | + | 1.17547i | 0.975385 | + | 0.220508i | \(0.0707717\pi\) |
−0.296727 | + | 0.954962i | \(0.595895\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.500000 | − | 0.866025i | 0.114708 | − | 0.198680i | ||||
\(20\) | 8.17384 | 1.82773 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 7.52492 | 1.60432 | ||||||||
\(23\) | −2.90990 | + | 5.04010i | −0.606757 | + | 1.05093i | 0.385014 | + | 0.922911i | \(0.374197\pi\) |
−0.991771 | + | 0.128023i | \(0.959137\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.739156 | − | 1.28026i | −0.147831 | − | 0.256051i | ||||
\(26\) | −5.66425 | + | 9.81077i | −1.11085 | + | 1.92405i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.11339 | + | 8.22955i | 0.399392 | + | 1.55524i | ||||
\(29\) | 9.32850 | 1.73226 | 0.866129 | − | 0.499820i | \(-0.166601\pi\) | ||||
0.866129 | + | 0.499820i | \(0.166601\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.21154 | + | 5.56255i | 0.576809 | + | 0.999063i | 0.995842 | + | 0.0910919i | \(0.0290357\pi\) |
−0.419033 | + | 0.907971i | \(0.637631\pi\) | |||||||
\(32\) | −2.89065 | − | 5.00676i | −0.511000 | − | 0.885078i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 12.7757 | 2.19101 | ||||||||
\(35\) | 4.81112 | − | 4.71182i | 0.813228 | − | 0.796444i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.85024 | + | 6.66882i | −0.632976 | + | 1.09635i | 0.353964 | + | 0.935259i | \(0.384833\pi\) |
−0.986940 | + | 0.161088i | \(0.948500\pi\) | |||||||
\(38\) | −1.14143 | − | 1.97701i | −0.185164 | − | 0.320713i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.51940 | − | 6.09577i | 0.556465 | − | 0.963826i | ||||
\(41\) | −6.13136 | −0.957558 | −0.478779 | − | 0.877936i | \(-0.658920\pi\) | ||||
−0.478779 | + | 0.877936i | \(0.658920\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.62835 | −0.705816 | −0.352908 | − | 0.935658i | \(-0.614807\pi\) | ||||
−0.352908 | + | 0.935658i | \(0.614807\pi\) | |||||||
\(44\) | 5.29285 | − | 9.16748i | 0.797927 | − | 1.38205i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.64288 | + | 11.5058i | 0.979439 | + | 1.69644i | ||||
\(47\) | −3.15720 | + | 5.46842i | −0.460524 | + | 0.797652i | −0.998987 | − | 0.0449977i | \(-0.985672\pi\) |
0.538463 | + | 0.842649i | \(0.319005\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.98788 | + | 3.62565i | 0.855411 | + | 0.517950i | ||||
\(50\) | −3.37477 | −0.477264 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 7.96820 | + | 13.8013i | 1.10499 | + | 1.91390i | ||||
\(53\) | −4.58210 | − | 7.93643i | −0.629400 | − | 1.09015i | −0.987672 | − | 0.156535i | \(-0.949967\pi\) |
0.358273 | − | 0.933617i | \(-0.383366\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −8.38987 | −1.13129 | ||||||||
\(56\) | 7.04728 | + | 1.96729i | 0.941732 | + | 0.262890i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 10.6478 | − | 18.4425i | 1.39812 | − | 2.42162i | ||||
\(59\) | 4.90555 | + | 8.49667i | 0.638649 | + | 1.10617i | 0.985730 | + | 0.168337i | \(0.0538395\pi\) |
−0.347081 | + | 0.937835i | \(0.612827\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.907947 | − | 1.57261i | 0.116251 | − | 0.201352i | −0.802028 | − | 0.597286i | \(-0.796246\pi\) |
0.918279 | + | 0.395934i | \(0.129579\pi\) | |||||||
\(62\) | 14.6629 | 1.86219 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −12.9785 | −1.62231 | ||||||||
\(65\) | 6.31533 | − | 10.9385i | 0.783320 | − | 1.35675i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.68164 | − | 2.91269i | −0.205445 | − | 0.355842i | 0.744829 | − | 0.667255i | \(-0.232531\pi\) |
−0.950275 | + | 0.311413i | \(0.899198\pi\) | |||||||
\(68\) | 8.98609 | − | 15.5644i | 1.08972 | − | 1.88746i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −3.82377 | − | 14.8898i | −0.457028 | − | 1.77967i | ||||
\(71\) | −2.01667 | −0.239335 | −0.119667 | − | 0.992814i | \(-0.538183\pi\) | ||||
−0.119667 | + | 0.992814i | \(0.538183\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.36284 | + | 4.09256i | 0.276550 | + | 0.478998i | 0.970525 | − | 0.241001i | \(-0.0774757\pi\) |
−0.693975 | + | 0.719999i | \(0.744142\pi\) | |||||||
\(74\) | 8.78953 | + | 15.2239i | 1.02176 | + | 1.76974i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.21141 | −0.368374 | ||||||||
\(77\) | −2.16924 | − | 8.44705i | −0.247208 | − | 0.962631i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 6.44927 | − | 11.1705i | 0.725599 | − | 1.25677i | −0.233128 | − | 0.972446i | \(-0.574896\pi\) |
0.958727 | − | 0.284329i | \(-0.0917707\pi\) | |||||||
\(80\) | 0.139585 | + | 0.241769i | 0.0156061 | + | 0.0270305i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −6.99849 | + | 12.1217i | −0.772854 | + | 1.33862i | ||||
\(83\) | 0.743338 | 0.0815919 | 0.0407960 | − | 0.999167i | \(-0.487011\pi\) | ||||
0.0407960 | + | 0.999167i | \(0.487011\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −14.2442 | −1.54500 | ||||||||
\(86\) | −5.28291 | + | 9.15027i | −0.569671 | + | 0.986699i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −4.55787 | − | 7.89445i | −0.485870 | − | 0.841552i | ||||
\(89\) | −5.70242 | + | 9.87688i | −0.604455 | + | 1.04695i | 0.387682 | + | 0.921793i | \(0.373276\pi\) |
−0.992137 | + | 0.125154i | \(0.960058\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 12.6459 | + | 3.53018i | 1.32565 | + | 0.370063i | ||||
\(92\) | 18.6898 | 1.94854 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 7.20741 | + | 12.4836i | 0.743387 | + | 1.28758i | ||||
\(95\) | 1.27263 | + | 2.20425i | 0.130569 | + | 0.226152i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −16.9210 | −1.71807 | −0.859035 | − | 0.511918i | \(-0.828935\pi\) | ||||
−0.859035 | + | 0.511918i | \(0.828935\pi\) | |||||||
\(98\) | 14.0026 | − | 7.69967i | 1.41448 | − | 0.777784i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.37373 | + | 4.11142i | −0.237373 | + | 0.411142i | ||||
\(101\) | −5.42936 | − | 9.40393i | −0.540242 | − | 0.935726i | −0.998890 | − | 0.0471079i | \(-0.985000\pi\) |
0.458648 | − | 0.888618i | \(-0.348334\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.08791 | + | 3.61637i | −0.205728 | + | 0.356331i | −0.950364 | − | 0.311139i | \(-0.899290\pi\) |
0.744637 | + | 0.667470i | \(0.232623\pi\) | |||||||
\(104\) | 13.7234 | 1.34569 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −20.9205 | −2.03198 | ||||||||
\(107\) | −1.82373 | + | 3.15880i | −0.176307 | + | 0.305373i | −0.940613 | − | 0.339481i | \(-0.889748\pi\) |
0.764306 | + | 0.644854i | \(0.223082\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.08585 | − | 12.2731i | −0.678701 | − | 1.17555i | −0.975372 | − | 0.220566i | \(-0.929210\pi\) |
0.296671 | − | 0.954980i | \(-0.404124\pi\) | |||||||
\(110\) | −9.57641 | + | 16.5868i | −0.913075 | + | 1.58149i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.207326 | + | 0.203047i | −0.0195905 | + | 0.0191861i | ||||
\(113\) | 9.20761 | 0.866179 | 0.433089 | − | 0.901351i | \(-0.357423\pi\) | ||||
0.433089 | + | 0.901351i | \(0.357423\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −7.40644 | − | 12.8283i | −0.690654 | − | 1.19625i | ||||
\(116\) | −14.9788 | − | 25.9440i | −1.39075 | − | 2.40884i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 22.3973 | 2.06184 | ||||||||
\(119\) | −3.68290 | − | 14.3412i | −0.337610 | − | 1.31466i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.0672653 | − | 0.116507i | 0.00611502 | − | 0.0105915i | ||||
\(122\) | −2.07271 | − | 3.59004i | −0.187654 | − | 0.325027i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 10.3136 | − | 17.8636i | 0.926184 | − | 1.60420i | ||||
\(125\) | −8.96359 | −0.801728 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −5.26815 | −0.467472 | −0.233736 | − | 0.972300i | \(-0.575095\pi\) | ||||
−0.233736 | + | 0.972300i | \(0.575095\pi\) | |||||||
\(128\) | −9.03267 | + | 15.6451i | −0.798383 | + | 1.38284i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −14.4169 | − | 24.9709i | −1.26445 | − | 2.19009i | ||||
\(131\) | −3.96817 | + | 6.87308i | −0.346701 | + | 0.600503i | −0.985661 | − | 0.168736i | \(-0.946031\pi\) |
0.638960 | + | 0.769240i | \(0.279365\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.89023 | + | 1.85122i | −0.163904 | + | 0.160521i | ||||
\(134\) | −7.67788 | −0.663268 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −7.73825 | − | 13.4030i | −0.663550 | − | 1.14930i | ||||
\(137\) | 4.09826 | + | 7.09839i | 0.350138 | + | 0.606456i | 0.986273 | − | 0.165121i | \(-0.0528015\pi\) |
−0.636136 | + | 0.771577i | \(0.719468\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 9.20860 | 0.781063 | 0.390531 | − | 0.920590i | \(-0.372291\pi\) | ||||
0.390531 | + | 0.920590i | \(0.372291\pi\) | |||||||
\(140\) | −20.8296 | − | 5.81470i | −1.76042 | − | 0.491432i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −2.30188 | + | 3.98697i | −0.193169 | + | 0.334579i | ||||
\(143\) | −8.17879 | − | 14.1661i | −0.683945 | − | 1.18463i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −11.8717 | + | 20.5624i | −0.985890 | + | 1.70761i | ||||
\(146\) | 10.7880 | 0.892823 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 24.7294 | 2.03274 | ||||||||
\(149\) | 2.39764 | − | 4.15284i | 0.196423 | − | 0.340214i | −0.750943 | − | 0.660367i | \(-0.770401\pi\) |
0.947366 | + | 0.320153i | \(0.103734\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.83040 | − | 6.63446i | −0.311714 | − | 0.539904i | 0.667020 | − | 0.745040i | \(-0.267570\pi\) |
−0.978734 | + | 0.205136i | \(0.934236\pi\) | |||||||
\(152\) | −1.38273 | + | 2.39496i | −0.112154 | + | 0.194257i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −19.1759 | − | 5.35307i | −1.54524 | − | 0.431363i | ||||
\(155\) | −16.3483 | −1.31313 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.46803 | + | 4.27475i | 0.196970 | + | 0.341162i | 0.947545 | − | 0.319624i | \(-0.103556\pi\) |
−0.750574 | + | 0.660786i | \(0.770223\pi\) | |||||||
\(158\) | −14.7227 | − | 25.5005i | −1.17128 | − | 2.02871i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 14.7149 | 1.16331 | ||||||||
\(161\) | 11.0008 | − | 10.7737i | 0.866984 | − | 0.849090i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.27555 | + | 2.20932i | −0.0999090 | + | 0.173047i | −0.911647 | − | 0.410975i | \(-0.865189\pi\) |
0.811738 | + | 0.584022i | \(0.198522\pi\) | |||||||
\(164\) | 9.84515 | + | 17.0523i | 0.768777 | + | 1.33156i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.848465 | − | 1.46958i | 0.0658536 | − | 0.114062i | ||||
\(167\) | 1.94706 | 0.150668 | 0.0753340 | − | 0.997158i | \(-0.475998\pi\) | ||||
0.0753340 | + | 0.997158i | \(0.475998\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 11.6258 | 0.894289 | ||||||||
\(170\) | −16.2586 | + | 28.1608i | −1.24698 | + | 2.15983i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 7.43175 | + | 12.8722i | 0.566665 | + | 0.981493i | ||||
\(173\) | 7.53471 | − | 13.0505i | 0.572853 | − | 0.992211i | −0.423418 | − | 0.905935i | \(-0.639170\pi\) |
0.996271 | − | 0.0862768i | \(-0.0274969\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.972859 | + | 3.78832i | 0.0735412 | + | 0.286370i | ||||
\(176\) | 0.361545 | 0.0272525 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 13.0178 | + | 22.5474i | 0.975723 | + | 1.69000i | ||||
\(179\) | 11.6786 | + | 20.2280i | 0.872901 | + | 1.51191i | 0.858982 | + | 0.512006i | \(0.171098\pi\) |
0.0139195 | + | 0.999903i | \(0.495569\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 21.8279 | 1.62246 | 0.811228 | − | 0.584730i | \(-0.198800\pi\) | ||||
0.811228 | + | 0.584730i | \(0.198800\pi\) | |||||||
\(182\) | 21.4135 | − | 20.9715i | 1.58727 | − | 1.55451i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 8.04722 | − | 13.9382i | 0.593249 | − | 1.02754i | ||||
\(185\) | −9.79984 | − | 16.9738i | −0.720499 | − | 1.24794i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −9.22359 | + | 15.9757i | −0.674496 | + | 1.16826i | ||||
\(188\) | 20.2781 | 1.47893 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 5.81043 | 0.421533 | ||||||||
\(191\) | −5.36754 | + | 9.29685i | −0.388381 | + | 0.672696i | −0.992232 | − | 0.124401i | \(-0.960299\pi\) |
0.603851 | + | 0.797097i | \(0.293632\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −9.01029 | − | 15.6063i | −0.648575 | − | 1.12336i | −0.983463 | − | 0.181107i | \(-0.942032\pi\) |
0.334889 | − | 0.942258i | \(-0.391301\pi\) | |||||||
\(194\) | −19.3141 | + | 33.4530i | −1.38667 | + | 2.40178i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.468750 | − | 22.4750i | 0.0334821 | − | 1.60535i | ||||
\(197\) | 3.39251 | 0.241706 | 0.120853 | − | 0.992670i | \(-0.461437\pi\) | ||||
0.120853 | + | 0.992670i | \(0.461437\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.0554566 | − | 0.0960536i | −0.00393121 | − | 0.00680906i | 0.864053 | − | 0.503401i | \(-0.167918\pi\) |
−0.867984 | + | 0.496592i | \(0.834585\pi\) | |||||||
\(200\) | 2.04411 | + | 3.54049i | 0.144540 | + | 0.250351i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −24.7888 | −1.74414 | ||||||||
\(203\) | −23.7720 | − | 6.63610i | −1.66847 | − | 0.465763i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 7.80293 | − | 13.5151i | 0.544980 | − | 0.943934i | ||||
\(206\) | 4.76639 | + | 8.25562i | 0.332090 | + | 0.575197i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.272147 | + | 0.471372i | −0.0188700 | + | 0.0326838i | ||||
\(209\) | 3.29628 | 0.228009 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 11.6596 | 0.802681 | 0.401340 | − | 0.915929i | \(-0.368544\pi\) | ||||
0.401340 | + | 0.915929i | \(0.368544\pi\) | |||||||
\(212\) | −14.7150 | + | 25.4871i | −1.01063 | + | 1.75046i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 4.16331 | + | 7.21106i | 0.284598 | + | 0.492938i | ||||
\(215\) | 5.89015 | − | 10.2020i | 0.401705 | − | 0.695774i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.22695 | − | 16.4598i | −0.286944 | − | 1.11736i | ||||
\(218\) | −32.3519 | −2.19115 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 13.4716 | + | 23.3336i | 0.908258 | + | 1.57315i | ||||
\(221\) | −13.8858 | − | 24.0509i | −0.934059 | − | 1.61784i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 13.8313 | 0.926214 | 0.463107 | − | 0.886302i | \(-0.346735\pi\) | ||||
0.463107 | + | 0.886302i | \(0.346735\pi\) | |||||||
\(224\) | 3.80461 | + | 14.8152i | 0.254206 | + | 0.989881i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 10.5098 | − | 18.2035i | 0.699101 | − | 1.21088i | ||||
\(227\) | 6.89519 | + | 11.9428i | 0.457650 | + | 0.792673i | 0.998836 | − | 0.0482300i | \(-0.0153580\pi\) |
−0.541187 | + | 0.840903i | \(0.682025\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −6.98222 | + | 12.0936i | −0.461398 | + | 0.799165i | −0.999031 | − | 0.0440139i | \(-0.985985\pi\) |
0.537633 | + | 0.843179i | \(0.319319\pi\) | |||||||
\(230\) | −33.8156 | −2.22973 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −25.7976 | −1.69369 | ||||||||
\(233\) | −8.49188 | + | 14.7084i | −0.556322 | + | 0.963578i | 0.441478 | + | 0.897272i | \(0.354454\pi\) |
−0.997799 | + | 0.0663053i | \(0.978879\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −8.03586 | − | 13.9185i | −0.524202 | − | 0.907944i | ||||
\(236\) | 15.7537 | − | 27.2862i | 1.02548 | − | 1.77618i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −32.5565 | − | 9.08834i | −2.11032 | − | 0.589110i | ||||
\(239\) | −2.74352 | −0.177463 | −0.0887317 | − | 0.996056i | \(-0.528281\pi\) | ||||
−0.0887317 | + | 0.996056i | \(0.528281\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.96607 | − | 8.60149i | −0.319893 | − | 0.554071i | 0.660573 | − | 0.750762i | \(-0.270314\pi\) |
−0.980465 | + | 0.196692i | \(0.936980\pi\) | |||||||
\(242\) | −0.153557 | − | 0.265968i | −0.00987099 | − | 0.0170971i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −5.83157 | −0.373328 | ||||||||
\(245\) | −15.6122 | + | 8.58471i | −0.997425 | + | 0.548457i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.48122 | + | 4.29759i | −0.157876 | + | 0.273449i | ||||
\(248\) | −8.88138 | − | 15.3830i | −0.563968 | − | 0.976821i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −10.2313 | + | 17.7211i | −0.647082 | + | 1.12078i | ||||
\(251\) | −0.0936224 | −0.00590940 | −0.00295470 | − | 0.999996i | \(-0.500941\pi\) | ||||
−0.00295470 | + | 0.999996i | \(0.500941\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −19.1837 | −1.20607 | ||||||||
\(254\) | −6.01319 | + | 10.4152i | −0.377301 | + | 0.653505i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 7.64175 | + | 13.2359i | 0.477609 | + | 0.827244i | ||||
\(257\) | 5.33246 | − | 9.23609i | 0.332630 | − | 0.576132i | −0.650397 | − | 0.759595i | \(-0.725397\pi\) |
0.983027 | + | 0.183463i | \(0.0587307\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 14.5557 | − | 14.2553i | 0.904448 | − | 0.885781i | ||||
\(260\) | −40.5621 | −2.51556 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 9.05874 | + | 15.6902i | 0.559651 | + | 0.969344i | ||||
\(263\) | 1.35596 | + | 2.34860i | 0.0836124 | + | 0.144821i | 0.904799 | − | 0.425839i | \(-0.140021\pi\) |
−0.821187 | + | 0.570660i | \(0.806688\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 23.3252 | 1.43286 | ||||||||
\(266\) | 1.50232 | + | 5.85003i | 0.0921129 | + | 0.358689i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −5.40044 | + | 9.35383i | −0.329884 | + | 0.571376i | ||||
\(269\) | −0.382993 | − | 0.663364i | −0.0233515 | − | 0.0404460i | 0.854113 | − | 0.520087i | \(-0.174100\pi\) |
−0.877465 | + | 0.479641i | \(0.840767\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.80999 | + | 4.86704i | −0.170695 | + | 0.295652i | −0.938663 | − | 0.344836i | \(-0.887934\pi\) |
0.767968 | + | 0.640488i | \(0.221268\pi\) | |||||||
\(272\) | 0.613824 | 0.0372186 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 18.7114 | 1.13040 | ||||||||
\(275\) | 2.43647 | − | 4.22008i | 0.146924 | − | 0.254481i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 14.1778 | + | 24.5567i | 0.851863 | + | 1.47547i | 0.879525 | + | 0.475852i | \(0.157860\pi\) |
−0.0276623 | + | 0.999617i | \(0.508806\pi\) | |||||||
\(278\) | 10.5109 | − | 18.2055i | 0.630403 | − | 1.09189i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −13.3050 | + | 13.0304i | −0.795123 | + | 0.778713i | ||||
\(281\) | 30.7742 | 1.83583 | 0.917916 | − | 0.396774i | \(-0.129870\pi\) | ||||
0.917916 | + | 0.396774i | \(0.129870\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 7.70015 | + | 13.3370i | 0.457726 | + | 0.792805i | 0.998840 | − | 0.0481441i | \(-0.0153307\pi\) |
−0.541114 | + | 0.840949i | \(0.681997\pi\) | |||||||
\(284\) | 3.23818 | + | 5.60869i | 0.192150 | + | 0.332814i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −37.3419 | −2.20807 | ||||||||
\(287\) | 15.6247 | + | 4.36173i | 0.922295 | + | 0.257465i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −7.15963 | + | 12.4008i | −0.421155 | + | 0.729461i | ||||
\(290\) | 27.1013 | + | 46.9408i | 1.59144 | + | 2.75646i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 7.58804 | − | 13.1429i | 0.444056 | − | 0.769128i | ||||
\(293\) | 3.63257 | 0.212217 | 0.106109 | − | 0.994355i | \(-0.466161\pi\) | ||||
0.106109 | + | 0.994355i | \(0.466161\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −24.9717 | −1.45391 | ||||||||
\(296\) | 10.6477 | − | 18.4423i | 0.618884 | − | 1.07194i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −5.47346 | − | 9.48031i | −0.317069 | − | 0.549180i | ||||
\(299\) | 14.4402 | − | 25.0112i | 0.835099 | − | 1.44643i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 11.7945 | + | 3.29251i | 0.679824 | + | 0.189777i | ||||
\(302\) | −17.4885 | −1.00635 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.0548414 | − | 0.0949880i | −0.00314537 | − | 0.00544794i | ||||
\(305\) | 2.31096 | + | 4.00269i | 0.132325 | + | 0.229193i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 20.4805 | 1.16888 | 0.584442 | − | 0.811436i | \(-0.301314\pi\) | ||||
0.584442 | + | 0.811436i | \(0.301314\pi\) | |||||||
\(308\) | −20.0094 | + | 19.5965i | −1.14014 | + | 1.11661i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −18.6604 | + | 32.3208i | −1.05984 | + | 1.83570i | ||||
\(311\) | −11.4343 | − | 19.8048i | −0.648382 | − | 1.12303i | −0.983509 | − | 0.180857i | \(-0.942113\pi\) |
0.335128 | − | 0.942173i | \(-0.391221\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 10.7262 | − | 18.5783i | 0.606279 | − | 1.05011i | −0.385569 | − | 0.922679i | \(-0.625995\pi\) |
0.991848 | − | 0.127427i | \(-0.0406720\pi\) | |||||||
\(314\) | 11.2683 | 0.635906 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −41.4224 | −2.33019 | ||||||||
\(317\) | 11.3236 | − | 19.6130i | 0.635996 | − | 1.10158i | −0.350307 | − | 0.936635i | \(-0.613923\pi\) |
0.986303 | − | 0.164942i | \(-0.0527439\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 15.3747 | + | 26.6297i | 0.860816 | + | 1.49098i | ||||
\(320\) | 16.5168 | − | 28.6079i | 0.923316 | − | 1.59923i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −8.74319 | − | 34.0461i | −0.487239 | − | 1.89731i | ||||
\(323\) | 5.59636 | 0.311390 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.66801 | + | 6.35319i | 0.203465 | + | 0.352411i | ||||
\(326\) | 2.91190 | + | 5.04355i | 0.161275 | + | 0.279337i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 16.9560 | 0.936240 | ||||||||
\(329\) | 11.9357 | − | 11.6893i | 0.658035 | − | 0.644454i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −14.3534 | + | 24.8609i | −0.788937 | + | 1.36648i | 0.137682 | + | 0.990476i | \(0.456035\pi\) |
−0.926619 | + | 0.376002i | \(0.877299\pi\) | |||||||
\(332\) | −1.19358 | − | 2.06734i | −0.0655062 | − | 0.113460i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 2.22242 | − | 3.84935i | 0.121606 | − | 0.210627i | ||||
\(335\) | 8.56041 | 0.467705 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 27.9822 | 1.52428 | 0.762142 | − | 0.647409i | \(-0.224148\pi\) | ||||
0.762142 | + | 0.647409i | \(0.224148\pi\) | |||||||
\(338\) | 13.2699 | − | 22.9842i | 0.721789 | − | 1.25018i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 22.8719 | + | 39.6153i | 1.24040 | + | 2.14844i | ||||
\(341\) | −10.5861 | + | 18.3357i | −0.573271 | + | 0.992935i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −12.6798 | − | 13.4990i | −0.684646 | − | 0.728876i | ||||
\(344\) | 12.7995 | 0.690103 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −17.2006 | − | 29.7923i | −0.924711 | − | 1.60165i | ||||
\(347\) | 9.05812 | + | 15.6891i | 0.486265 | + | 0.842236i | 0.999875 | − | 0.0157875i | \(-0.00502552\pi\) |
−0.513610 | + | 0.858024i | \(0.671692\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −16.1254 | −0.863170 | −0.431585 | − | 0.902072i | \(-0.642046\pi\) | ||||
−0.431585 | + | 0.902072i | \(0.642046\pi\) | |||||||
\(350\) | 8.59998 | + | 2.40074i | 0.459688 | + | 0.128325i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 9.52841 | − | 16.5037i | 0.507866 | − | 0.879649i | ||||
\(353\) | −9.51891 | − | 16.4872i | −0.506641 | − | 0.877527i | −0.999970 | − | 0.00768495i | \(-0.997554\pi\) |
0.493330 | − | 0.869842i | \(-0.335780\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2.56647 | − | 4.44526i | 0.136214 | − | 0.235930i | ||||
\(356\) | 36.6256 | 1.94115 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 53.3211 | 2.81811 | ||||||||
\(359\) | −2.58582 | + | 4.47877i | −0.136474 | + | 0.236380i | −0.926160 | − | 0.377132i | \(-0.876910\pi\) |
0.789685 | + | 0.613512i | \(0.210244\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.500000 | − | 0.866025i | −0.0263158 | − | 0.0455803i | ||||
\(362\) | 24.9149 | − | 43.1539i | 1.30950 | − | 2.26812i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −10.4875 | − | 40.8386i | −0.549696 | − | 2.14052i | ||||
\(365\) | −12.0281 | −0.629577 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.81392 | − | 4.87386i | −0.146886 | − | 0.254413i | 0.783189 | − | 0.621783i | \(-0.213592\pi\) |
−0.930075 | + | 0.367370i | \(0.880258\pi\) | |||||||
\(368\) | 0.319166 | + | 0.552812i | 0.0166377 | + | 0.0288173i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −44.7431 | −2.32609 | ||||||||
\(371\) | 6.03085 | + | 23.4842i | 0.313106 | + | 1.21924i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −1.79728 | + | 3.11298i | −0.0930596 | + | 0.161184i | −0.908797 | − | 0.417238i | \(-0.862998\pi\) |
0.815738 | + | 0.578422i | \(0.196331\pi\) | |||||||
\(374\) | 21.0561 | + | 36.4702i | 1.08878 | + | 1.88583i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 8.73110 | − | 15.1227i | 0.450272 | − | 0.779894i | ||||
\(377\) | −46.2920 | −2.38416 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 8.82165 | 0.453138 | 0.226569 | − | 0.973995i | \(-0.427249\pi\) | ||||
0.226569 | + | 0.973995i | \(0.427249\pi\) | |||||||
\(380\) | 4.08692 | − | 7.07875i | 0.209655 | − | 0.363132i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 12.2533 | + | 21.2233i | 0.626933 | + | 1.08588i | ||||
\(383\) | −15.6624 | + | 27.1281i | −0.800311 | + | 1.38618i | 0.119101 | + | 0.992882i | \(0.461999\pi\) |
−0.919412 | + | 0.393297i | \(0.871335\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 21.3801 | + | 5.96838i | 1.08963 | + | 0.304177i | ||||
\(386\) | −41.1383 | −2.09388 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 27.1701 | + | 47.0600i | 1.37935 | + | 2.38911i | ||||
\(389\) | −0.122913 | − | 0.212891i | −0.00623193 | − | 0.0107940i | 0.862893 | − | 0.505387i | \(-0.168650\pi\) |
−0.869125 | + | 0.494593i | \(0.835317\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −32.5697 | −1.64712 | ||||||||
\(392\) | −16.5592 | − | 10.0266i | −0.836367 | − | 0.506419i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 3.87229 | − | 6.70701i | 0.195083 | − | 0.337894i | ||||
\(395\) | 16.4150 | + | 28.4316i | 0.825929 | + | 1.43055i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 0.897652 | − | 1.55478i | 0.0450519 | − | 0.0780321i | −0.842620 | − | 0.538508i | \(-0.818988\pi\) |
0.887672 | + | 0.460476i | \(0.152321\pi\) | |||||||
\(398\) | −0.253198 | −0.0126917 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.162145 | −0.00810726 | ||||||||
\(401\) | −12.2512 | + | 21.2196i | −0.611793 | + | 1.05966i | 0.379145 | + | 0.925337i | \(0.376218\pi\) |
−0.990938 | + | 0.134320i | \(0.957115\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −15.9370 | − | 27.6038i | −0.793881 | − | 1.37504i | ||||
\(404\) | −17.4359 | + | 30.1998i | −0.867467 | + | 1.50250i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −40.2536 | + | 39.4228i | −1.99775 | + | 1.95652i | ||||
\(407\) | −25.3830 | −1.25819 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −13.5524 | − | 23.4735i | −0.670125 | − | 1.16069i | −0.977868 | − | 0.209222i | \(-0.932907\pi\) |
0.307743 | − | 0.951470i | \(-0.400426\pi\) | |||||||
\(410\) | −17.8129 | − | 30.8529i | −0.879718 | − | 1.52372i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 13.4103 | 0.660676 | ||||||||
\(413\) | −6.45657 | − | 25.1419i | −0.317707 | − | 1.23715i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.945992 | + | 1.63851i | −0.0464369 | + | 0.0804311i | ||||
\(416\) | 14.3447 | + | 24.8457i | 0.703306 | + | 1.21816i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 3.76246 | − | 6.51677i | 0.184028 | − | 0.318746i | ||||
\(419\) | 24.5949 | 1.20154 | 0.600771 | − | 0.799421i | \(-0.294860\pi\) | ||||
0.600771 | + | 0.799421i | \(0.294860\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 17.1191 | 0.834334 | 0.417167 | − | 0.908830i | \(-0.363023\pi\) | ||||
0.417167 | + | 0.908830i | \(0.363023\pi\) | |||||||
\(422\) | 13.3086 | − | 23.0511i | 0.647851 | − | 1.12211i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 12.6716 | + | 21.9479i | 0.615388 | + | 1.06588i | ||||
\(425\) | 4.13658 | − | 7.16477i | 0.200654 | − | 0.347543i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −3.43246 | + | 3.36162i | −0.166109 | + | 0.162680i | ||||
\(428\) | 11.7135 | 0.566193 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −13.4463 | − | 23.2897i | −0.648440 | − | 1.12313i | ||||
\(431\) | −9.81420 | − | 16.9987i | −0.472733 | − | 0.818798i | 0.526780 | − | 0.850002i | \(-0.323399\pi\) |
−0.999513 | + | 0.0312037i | \(0.990066\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 30.0095 | 1.44216 | 0.721082 | − | 0.692850i | \(-0.243645\pi\) | ||||
0.721082 | + | 0.692850i | \(0.243645\pi\) | |||||||
\(434\) | −37.3658 | − | 10.4309i | −1.79362 | − | 0.500699i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −22.7555 | + | 39.4138i | −1.08979 | + | 1.88758i | ||||
\(437\) | 2.90990 | + | 5.04010i | 0.139200 | + | 0.241101i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 5.82201 | − | 10.0840i | 0.277869 | − | 0.481284i | −0.692986 | − | 0.720951i | \(-0.743705\pi\) |
0.970855 | + | 0.239667i | \(0.0770384\pi\) | |||||||
\(440\) | 23.2018 | 1.10610 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −63.3984 | −3.01555 | ||||||||
\(443\) | −9.66895 | + | 16.7471i | −0.459386 | + | 0.795679i | −0.998929 | − | 0.0462788i | \(-0.985264\pi\) |
0.539543 | + | 0.841958i | \(0.318597\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −14.5141 | − | 25.1391i | −0.688034 | − | 1.19171i | ||||
\(446\) | 15.7874 | − | 27.3446i | 0.747556 | − | 1.29481i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 33.0734 | + | 9.23264i | 1.56257 | + | 0.436201i | ||||
\(449\) | 34.8975 | 1.64692 | 0.823458 | − | 0.567377i | \(-0.192042\pi\) | ||||
0.823458 | + | 0.567377i | \(0.192042\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −10.1053 | − | 17.5030i | −0.475842 | − | 0.824183i | ||||
\(452\) | −14.7847 | − | 25.6078i | −0.695413 | − | 1.20449i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 31.4814 | 1.47749 | ||||||||
\(455\) | −23.8749 | + | 23.3821i | −1.11927 | + | 1.09617i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.55603 | − | 2.69512i | 0.0727878 | − | 0.126072i | −0.827334 | − | 0.561710i | \(-0.810144\pi\) |
0.900122 | + | 0.435638i | \(0.143477\pi\) | |||||||
\(458\) | 15.9394 | + | 27.6078i | 0.744798 | + | 1.29003i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −23.7851 | + | 41.1970i | −1.10899 | + | 1.92082i | ||||
\(461\) | −21.6573 | −1.00868 | −0.504341 | − | 0.863505i | \(-0.668264\pi\) | ||||
−0.504341 | + | 0.863505i | \(0.668264\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −27.4240 | −1.27450 | −0.637252 | − | 0.770656i | \(-0.719929\pi\) | ||||
−0.637252 | + | 0.770656i | \(0.719929\pi\) | |||||||
\(464\) | 0.511587 | − | 0.886095i | 0.0237498 | − | 0.0411359i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 19.3857 | + | 33.5770i | 0.898025 | + | 1.55543i | ||||
\(467\) | −13.6273 | + | 23.6031i | −0.630595 | + | 1.09222i | 0.356835 | + | 0.934167i | \(0.383856\pi\) |
−0.987430 | + | 0.158056i | \(0.949477\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 2.21334 | + | 8.61876i | 0.102202 | + | 0.397977i | ||||
\(470\) | −36.6893 | −1.69235 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −13.5661 | − | 23.4972i | −0.624431 | − | 1.08155i | ||||
\(473\) | −7.62816 | − | 13.2124i | −0.350743 | − | 0.607505i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.47831 | −0.0678296 | ||||||||
\(476\) | −33.9716 | + | 33.2705i | −1.55709 | + | 1.52495i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −3.13152 | + | 5.42395i | −0.143232 | + | 0.248086i | ||||
\(479\) | −17.7994 | − | 30.8295i | −0.813277 | − | 1.40864i | −0.910559 | − | 0.413380i | \(-0.864348\pi\) |
0.0972820 | − | 0.995257i | \(-0.468985\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 19.1066 | − | 33.0936i | 0.871185 | − | 1.50894i | ||||
\(482\) | −22.6736 | −1.03275 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.432032 | −0.0196378 | ||||||||
\(485\) | 21.5341 | − | 37.2982i | 0.977815 | − | 1.69362i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −10.7802 | − | 18.6719i | −0.488498 | − | 0.846104i | 0.511414 | − | 0.859334i | \(-0.329122\pi\) |
−0.999912 | + | 0.0132307i | \(0.995788\pi\) | |||||||
\(488\) | −2.51089 | + | 4.34899i | −0.113663 | + | 0.196870i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.848114 | + | 40.6642i | −0.0383139 | + | 1.83702i | ||||
\(491\) | −4.06065 | −0.183255 | −0.0916273 | − | 0.995793i | \(-0.529207\pi\) | ||||
−0.0916273 | + | 0.995793i | \(0.529207\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 26.1028 | + | 45.2114i | 1.17561 | + | 2.03622i | ||||
\(494\) | 5.66425 | + | 9.81077i | 0.254847 | + | 0.441407i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.704500 | 0.0316330 | ||||||||
\(497\) | 5.13913 | + | 1.43462i | 0.230521 | + | 0.0643515i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 6.84108 | − | 11.8491i | 0.306249 | − | 0.530439i | −0.671290 | − | 0.741195i | \(-0.734259\pi\) |
0.977539 | + | 0.210756i | \(0.0675926\pi\) | |||||||
\(500\) | 14.3929 | + | 24.9292i | 0.643668 | + | 1.11487i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.106863 | + | 0.185092i | −0.00476953 | + | 0.00826107i | ||||
\(503\) | −16.8353 | −0.750650 | −0.375325 | − | 0.926893i | \(-0.622469\pi\) | ||||
−0.375325 | + | 0.926893i | \(0.622469\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 27.6382 | 1.22988 | ||||||||
\(506\) | −21.8968 | + | 37.9263i | −0.973431 | + | 1.68603i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 8.45908 | + | 14.6516i | 0.375311 | + | 0.650057i | ||||
\(509\) | 2.09067 | − | 3.62115i | 0.0926673 | − | 0.160504i | −0.815965 | − | 0.578101i | \(-0.803794\pi\) |
0.908633 | + | 0.417596i | \(0.137127\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.10991 | − | 12.1100i | −0.137574 | − | 0.535716i | ||||
\(512\) | −1.24076 | −0.0548342 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −12.1732 | − | 21.0846i | −0.536937 | − | 0.930003i | ||||
\(515\) | −5.31426 | − | 9.20457i | −0.234174 | − | 0.405602i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −20.8140 | −0.915399 | ||||||||
\(518\) | −11.5686 | − | 45.0481i | −0.508293 | − | 1.97930i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −17.4648 | + | 30.2499i | −0.765881 | + | 1.32654i | ||||
\(521\) | −6.38585 | − | 11.0606i | −0.279769 | − | 0.484575i | 0.691558 | − | 0.722321i | \(-0.256925\pi\) |
−0.971327 | + | 0.237746i | \(0.923591\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 12.9659 | − | 22.4575i | 0.566957 | − | 0.981999i | −0.429907 | − | 0.902873i | \(-0.641454\pi\) |
0.996865 | − | 0.0791260i | \(-0.0252129\pi\) | |||||||
\(524\) | 25.4868 | 1.11340 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 6.19093 | 0.269937 | ||||||||
\(527\) | −17.9729 | + | 31.1300i | −0.782913 | + | 1.35604i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −5.43508 | − | 9.41384i | −0.236308 | − | 0.409298i | ||||
\(530\) | 26.6240 | − | 46.1141i | 1.15647 | − | 2.00307i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 8.18369 | + | 2.28453i | 0.354808 | + | 0.0990469i | ||||
\(533\) | 30.4265 | 1.31792 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −4.64186 | − | 8.03994i | −0.200685 | − | 0.347597i | ||||
\(536\) | 4.65051 | + | 8.05493i | 0.200872 | + | 0.347920i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −1.74863 | −0.0753889 | ||||||||
\(539\) | −0.481138 | + | 23.0690i | −0.0207241 | + | 0.993650i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 11.4156 | − | 19.7724i | 0.490795 | − | 0.850082i | −0.509149 | − | 0.860678i | \(-0.670040\pi\) |
0.999944 | + | 0.0105967i | \(0.00337311\pi\) | |||||||
\(542\) | 6.41478 | + | 11.1107i | 0.275538 | + | 0.477247i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 16.1771 | − | 28.0196i | 0.693589 | − | 1.20133i | ||||
\(545\) | 36.0706 | 1.54509 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −21.0599 | −0.900455 | −0.450227 | − | 0.892914i | \(-0.648657\pi\) | ||||
−0.450227 | + | 0.892914i | \(0.648657\pi\) | |||||||
\(548\) | 13.1612 | − | 22.7958i | 0.562217 | − | 0.973788i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −5.56209 | − | 9.63382i | −0.237168 | − | 0.410787i | ||||
\(551\) | 4.66425 | − | 8.07871i | 0.198704 | − | 0.344165i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −24.3812 | + | 23.8780i | −1.03680 | + | 1.01540i | ||||
\(554\) | 64.7317 | 2.75019 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −14.7863 | − | 25.6106i | −0.627078 | − | 1.08613i | ||||
\(557\) | 21.7768 | + | 37.7185i | 0.922713 | + | 1.59819i | 0.795199 | + | 0.606348i | \(0.207366\pi\) |
0.127514 | + | 0.991837i | \(0.459300\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 22.9679 | 0.971437 | ||||||||
\(560\) | −0.183718 | − | 0.715402i | −0.00776352 | − | 0.0302312i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 35.1264 | − | 60.8407i | 1.48172 | − | 2.56641i | ||||
\(563\) | −10.7691 | − | 18.6526i | −0.453862 | − | 0.786112i | 0.544760 | − | 0.838592i | \(-0.316621\pi\) |
−0.998622 | + | 0.0524800i | \(0.983287\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −11.7178 | + | 20.2959i | −0.492973 | + | 0.853855i | ||||
\(566\) | 35.1566 | 1.47774 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 5.57702 | 0.234007 | ||||||||
\(569\) | 6.91119 | − | 11.9705i | 0.289732 | − | 0.501831i | −0.684014 | − | 0.729469i | \(-0.739767\pi\) |
0.973746 | + | 0.227639i | \(0.0731005\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 3.18585 | + | 5.51805i | 0.133324 | + | 0.230923i | 0.924956 | − | 0.380075i | \(-0.124102\pi\) |
−0.791632 | + | 0.610998i | \(0.790768\pi\) | |||||||
\(572\) | −26.2654 | + | 45.4930i | −1.09821 | + | 1.90216i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 26.4576 | − | 25.9115i | 1.10432 | − | 1.08153i | ||||
\(575\) | 8.60349 | 0.358790 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −9.19733 | − | 15.9302i | −0.382890 | − | 0.663185i | 0.608584 | − | 0.793489i | \(-0.291738\pi\) |
−0.991474 | + | 0.130305i | \(0.958405\pi\) | |||||||
\(578\) | 16.3444 | + | 28.3093i | 0.679836 | + | 1.17751i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 76.2496 | 3.16609 | ||||||||
\(581\) | −1.89426 | − | 0.528796i | −0.0785873 | − | 0.0219381i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 15.1039 | − | 26.1607i | 0.625539 | − | 1.08347i | ||||
\(584\) | −6.53434 | − | 11.3178i | −0.270393 | − | 0.468334i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 4.14631 | − | 7.18162i | 0.171282 | − | 0.296670i | ||||
\(587\) | 28.7021 | 1.18466 | 0.592331 | − | 0.805695i | \(-0.298208\pi\) | ||||
0.592331 | + | 0.805695i | \(0.298208\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 6.42307 | 0.264658 | ||||||||
\(590\) | −28.5034 | + | 49.3693i | −1.17347 | + | 2.03250i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0.422305 | + | 0.731454i | 0.0173566 | + | 0.0300626i | ||||
\(593\) | 16.3272 | − | 28.2795i | 0.670478 | − | 1.16130i | −0.307291 | − | 0.951616i | \(-0.599423\pi\) |
0.977769 | − | 0.209686i | \(-0.0672441\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 36.2987 | + | 10.1330i | 1.48810 | + | 0.415413i | ||||
\(596\) | −15.3996 | −0.630793 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −32.9648 | − | 57.0968i | −1.34803 | − | 2.33486i | ||||
\(599\) | 4.63577 | + | 8.02939i | 0.189412 | + | 0.328072i | 0.945054 | − | 0.326913i | \(-0.106008\pi\) |
−0.755642 | + | 0.654985i | \(0.772675\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6.44868 | 0.263047 | 0.131524 | − | 0.991313i | \(-0.458013\pi\) | ||||
0.131524 | + | 0.991313i | \(0.458013\pi\) | |||||||
\(602\) | 19.9719 | − | 19.5597i | 0.813992 | − | 0.797192i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −12.3010 | + | 21.3059i | −0.500520 | + | 0.866926i | ||||
\(605\) | 0.171207 | + | 0.296539i | 0.00696056 | + | 0.0120560i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 4.88593 | − | 8.46267i | 0.198314 | − | 0.343489i | −0.749668 | − | 0.661814i | \(-0.769787\pi\) |
0.947982 | + | 0.318325i | \(0.103120\pi\) | |||||||
\(608\) | −5.78131 | −0.234463 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 10.5511 | 0.427203 | ||||||||
\(611\) | 15.6674 | − | 27.1367i | 0.633834 | − | 1.09783i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 22.3319 | + | 38.6801i | 0.901979 | + | 1.56227i | 0.824922 | + | 0.565246i | \(0.191219\pi\) |
0.0770563 | + | 0.997027i | \(0.475448\pi\) | |||||||
\(614\) | 23.3770 | − | 40.4901i | 0.943417 | − | 1.63405i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 5.99895 | + | 23.3600i | 0.241705 | + | 0.941200i | ||||
\(617\) | 25.1695 | 1.01329 | 0.506643 | − | 0.862156i | \(-0.330886\pi\) | ||||
0.506643 | + | 0.862156i | \(0.330886\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 19.7418 | + | 34.1938i | 0.793490 | + | 1.37436i | 0.923794 | + | 0.382891i | \(0.125071\pi\) |
−0.130304 | + | 0.991474i | \(0.541595\pi\) | |||||||
\(620\) | 26.2506 | + | 45.4674i | 1.05425 | + | 1.82601i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −52.2058 | −2.09326 | ||||||||
\(623\) | 21.5578 | − | 21.1129i | 0.863695 | − | 0.845869i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 15.1031 | − | 26.1593i | 0.604123 | − | 1.04637i | ||||
\(626\) | −24.4863 | − | 42.4114i | −0.978668 | − | 1.69510i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 7.92584 | − | 13.7280i | 0.316276 | − | 0.547805i | ||||
\(629\) | −43.0947 | −1.71830 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 5.92164 | 0.235737 | 0.117868 | − | 0.993029i | \(-0.462394\pi\) | ||||
0.117868 | + | 0.993029i | \(0.462394\pi\) | |||||||
\(632\) | −17.8352 | + | 30.8914i | −0.709446 | + | 1.22880i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −25.8501 | − | 44.7736i | −1.02664 | − | 1.77819i | ||||
\(635\) | 6.70438 | − | 11.6123i | 0.266055 | − | 0.460821i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −29.7145 | − | 17.9920i | −1.17733 | − | 0.712871i | ||||
\(638\) | 70.1962 | 2.77909 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −22.9904 | − | 39.8206i | −0.908777 | − | 1.57405i | ||||
\(641\) | −7.56670 | − | 13.1059i | −0.298867 | − | 0.517652i | 0.677010 | − | 0.735973i | \(-0.263275\pi\) |
−0.975877 | + | 0.218321i | \(0.929942\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 14.5709 | 0.574619 | 0.287310 | − | 0.957838i | \(-0.407239\pi\) | ||||
0.287310 | + | 0.957838i | \(0.407239\pi\) | |||||||
\(644\) | −47.6275 | − | 13.2955i | −1.87679 | − | 0.523917i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 6.38783 | − | 11.0640i | 0.251326 | − | 0.435309i | ||||
\(647\) | −1.45937 | − | 2.52771i | −0.0573739 | − | 0.0993745i | 0.835912 | − | 0.548864i | \(-0.184939\pi\) |
−0.893286 | + | 0.449489i | \(0.851606\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −16.1701 | + | 28.0074i | −0.634731 | + | 1.09939i | ||||
\(650\) | 16.7471 | 0.656873 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 8.19264 | 0.320848 | ||||||||
\(653\) | −13.8699 | + | 24.0233i | −0.542770 | + | 0.940106i | 0.455973 | + | 0.889993i | \(0.349291\pi\) |
−0.998744 | + | 0.0501122i | \(0.984042\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −10.1000 | − | 17.4937i | −0.394640 | − | 0.683536i | ||||
\(656\) | −0.336252 | + | 0.582406i | −0.0131284 | + | 0.0227391i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −9.48621 | − | 36.9394i | −0.369811 | − | 1.44005i | ||||
\(659\) | −14.7834 | −0.575880 | −0.287940 | − | 0.957648i | \(-0.592970\pi\) | ||||
−0.287940 | + | 0.957648i | \(0.592970\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −17.6266 | − | 30.5302i | −0.685596 | − | 1.18749i | −0.973249 | − | 0.229752i | \(-0.926208\pi\) |
0.287654 | − | 0.957735i | \(-0.407125\pi\) | |||||||
\(662\) | 32.7668 | + | 56.7537i | 1.27352 | + | 2.20580i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2.05567 | −0.0797755 | ||||||||
\(665\) | −1.67500 | − | 6.52247i | −0.0649537 | − | 0.252930i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −27.1450 | + | 47.0166i | −1.05106 | + | 1.82049i | ||||
\(668\) | −3.12640 | − | 5.41508i | −0.120964 | − | 0.209516i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 9.77107 | − | 16.9240i | 0.377489 | − | 0.653831i | ||||
\(671\) | 5.98570 | 0.231075 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −22.4607 | −0.865796 | −0.432898 | − | 0.901443i | \(-0.642509\pi\) | ||||
−0.432898 | + | 0.901443i | \(0.642509\pi\) | |||||||
\(674\) | 31.9395 | − | 55.3209i | 1.23026 | − | 2.13088i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −18.6675 | − | 32.3331i | −0.717981 | − | 1.24358i | ||||
\(677\) | −4.64321 | + | 8.04228i | −0.178453 | + | 0.309090i | −0.941351 | − | 0.337429i | \(-0.890443\pi\) |
0.762898 | + | 0.646519i | \(0.223776\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 43.1202 | + | 12.0373i | 1.65480 | + | 0.461948i | ||||
\(680\) | 39.3916 | 1.51060 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 24.1666 | + | 41.8577i | 0.925385 | + | 1.60281i | ||||
\(683\) | 9.61953 | + | 16.6615i | 0.368081 | + | 0.637535i | 0.989266 | − | 0.146129i | \(-0.0466815\pi\) |
−0.621184 | + | 0.783664i | \(0.713348\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −20.8622 | −0.797103 | ||||||||
\(686\) | −41.1606 | + | 9.66003i | −1.57152 | + | 0.368822i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.253825 | + | 0.439637i | −0.00967698 | + | 0.0167610i | ||||
\(689\) | 22.7384 | + | 39.3840i | 0.866263 | + | 1.50041i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −11.5353 | + | 19.9797i | −0.438823 | + | 0.760064i | −0.997599 | − | 0.0692547i | \(-0.977938\pi\) |
0.558776 | + | 0.829319i | \(0.311271\pi\) | |||||||
\(692\) | −48.3940 | −1.83967 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 41.3567 | 1.56988 | ||||||||
\(695\) | −11.7191 | + | 20.2981i | −0.444531 | + | 0.769950i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −17.1567 | − | 29.7162i | −0.649855 | − | 1.12558i | ||||
\(698\) | −18.4059 | + | 31.8799i | −0.696673 | + | 1.20667i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 8.97381 | − | 8.78860i | 0.339178 | − | 0.332178i | ||||
\(701\) | 18.6485 | 0.704344 | 0.352172 | − | 0.935935i | \(-0.385443\pi\) | ||||
0.352172 | + | 0.935935i | \(0.385443\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 3.85024 | + | 6.66882i | 0.145215 | + | 0.251519i | ||||
\(704\) | −21.3904 | − | 37.0492i | −0.806180 | − | 1.39635i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −43.4605 | −1.63566 | ||||||||
\(707\) | 7.14599 | + | 27.8266i | 0.268753 | + | 1.04653i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −22.2557 | + | 38.5481i | −0.835832 | + | 1.44770i | 0.0575196 | + | 0.998344i | \(0.481681\pi\) |
−0.893351 | + | 0.449359i | \(0.851653\pi\) | |||||||
\(710\) | −5.85887 | − | 10.1479i | −0.219879 | − | 0.380842i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 15.7698 | − | 27.3141i | 0.590998 | − | 1.02364i | ||||
\(713\) | −37.3811 | −1.39993 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 41.6342 | 1.55703 | ||||||||
\(716\) | 37.5048 | − | 64.9602i | 1.40162 | − | 2.42768i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 5.90304 | + | 10.2244i | 0.220299 | + | 0.381570i | ||||
\(719\) | 11.8983 | − | 20.6085i | 0.443733 | − | 0.768567i | −0.554230 | − | 0.832363i | \(-0.686987\pi\) |
0.997963 | + | 0.0637960i | \(0.0203207\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 7.89327 | − | 7.73036i | 0.293961 | − | 0.287894i | ||||
\(722\) | −2.28285 | −0.0849589 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −35.0491 | − | 60.7069i | −1.30259 | − | 2.25615i | ||||
\(725\) | −6.89521 | − | 11.9429i | −0.256082 | − | 0.443547i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −28.5209 | −1.05778 | −0.528891 | − | 0.848689i | \(-0.677392\pi\) | ||||
−0.528891 | + | 0.848689i | \(0.677392\pi\) | |||||||
\(728\) | −34.9717 | − | 9.76256i | −1.29614 | − | 0.361824i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −13.7291 | + | 23.7795i | −0.508138 | + | 0.880120i | ||||
\(731\) | −12.9509 | − | 22.4317i | −0.479008 | − | 0.829666i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 8.13938 | − | 14.0978i | 0.300635 | − | 0.520715i | −0.675645 | − | 0.737227i | \(-0.736135\pi\) |
0.976280 | + | 0.216512i | \(0.0694681\pi\) | |||||||
\(734\) | −12.8475 | −0.474211 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 33.6461 | 1.24021 | ||||||||
\(737\) | 5.54317 | − | 9.60105i | 0.204185 | − | 0.353659i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −26.2459 | − | 45.4592i | −0.965470 | − | 1.67224i | −0.708348 | − | 0.705863i | \(-0.750559\pi\) |
−0.257121 | − | 0.966379i | \(-0.582774\pi\) | |||||||
\(740\) | −31.4713 | + | 54.5098i | −1.15691 | + | 2.00382i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 53.3121 | + | 14.8824i | 1.95715 | + | 0.546351i | ||||
\(743\) | 31.9433 | 1.17189 | 0.585944 | − | 0.810352i | \(-0.300724\pi\) | ||||
0.585944 | + | 0.810352i | \(0.300724\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 6.10261 | + | 10.5700i | 0.223582 | + | 0.387256i | ||||
\(746\) | 4.10292 | + | 7.10647i | 0.150219 | + | 0.260186i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 59.2414 | 2.16608 | ||||||||
\(749\) | 6.89456 | − | 6.75226i | 0.251922 | − | 0.246722i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.40492 | − | 5.89749i | 0.124247 | − | 0.215202i | −0.797191 | − | 0.603727i | \(-0.793682\pi\) |
0.921438 | + | 0.388524i | \(0.127015\pi\) | |||||||
\(752\) | 0.346290 | + | 0.599792i | 0.0126279 | + | 0.0218721i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −52.8389 | + | 91.5197i | −1.92428 | + | 3.33295i | ||||
\(755\) | 19.4987 | 0.709630 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 9.00239 | 0.327198 | 0.163599 | − | 0.986527i | \(-0.447690\pi\) | ||||
0.163599 | + | 0.986527i | \(0.447690\pi\) | |||||||
\(758\) | 10.0693 | − | 17.4405i | 0.365732 | − | 0.633466i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −3.51940 | − | 6.09577i | −0.127662 | − | 0.221117i | ||||
\(761\) | 2.58982 | − | 4.48569i | 0.0938808 | − | 0.162606i | −0.815260 | − | 0.579095i | \(-0.803406\pi\) |
0.909141 | + | 0.416489i | \(0.136739\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 9.32622 | + | 36.3164i | 0.337632 | + | 1.31474i | ||||
\(764\) | 34.4747 | 1.24725 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 35.7549 | + | 61.9293i | 1.29188 | + | 2.23760i | ||||
\(767\) | −24.3435 | − | 42.1641i | −0.878992 | − | 1.52246i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 41.5253 | 1.49744 | 0.748720 | − | 0.662886i | \(-0.230669\pi\) | ||||
0.748720 | + | 0.662886i | \(0.230669\pi\) | |||||||
\(770\) | 36.2033 | − | 35.4561i | 1.30468 | − | 1.27775i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −28.9357 | + | 50.1181i | −1.04142 | + | 1.80379i | ||||
\(773\) | −1.41901 | − | 2.45780i | −0.0510382 | − | 0.0884008i | 0.839378 | − | 0.543549i | \(-0.182920\pi\) |
−0.890416 | + | 0.455148i | \(0.849586\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 4.74765 | − | 8.22318i | 0.170541 | − | 0.295385i | ||||
\(776\) | 46.7944 | 1.67982 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −0.561183 | −0.0201194 | ||||||||
\(779\) | −3.06568 | + | 5.30991i | −0.109839 | + | 0.190247i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −3.32376 | − | 5.75692i | −0.118933 | − | 0.205999i | ||||
\(782\) | −37.1759 | + | 64.3906i | −1.32941 | + | 2.30260i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0.672776 | − | 0.369941i | 0.0240277 | − | 0.0132122i | ||||
\(785\) | −12.5635 | −0.448411 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 20.7488 | + | 35.9379i | 0.739614 | + | 1.28105i | 0.952669 | + | 0.304009i | \(0.0983251\pi\) |
−0.213056 | + | 0.977040i | \(0.568342\pi\) | |||||||
\(788\) | −5.44736 | − | 9.43510i | −0.194054 | − | 0.336111i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 74.9461 | 2.66646 | ||||||||
\(791\) | −23.4639 | − | 6.55011i | −0.834282 | − | 0.232895i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −4.50563 | + | 7.80398i | −0.160000 | + | 0.277127i | ||||
\(794\) | −2.04921 | − | 3.54933i | −0.0727236 | − | 0.125961i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.178094 | + | 0.308467i | −0.00631236 | + | 0.0109333i | ||||
\(797\) | 34.7178 | 1.22977 | 0.614884 | − | 0.788618i | \(-0.289203\pi\) | ||||
0.614884 | + | 0.788618i | \(0.289203\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −35.3376 | −1.25016 | ||||||||
\(800\) | −4.27329 | + | 7.40155i | −0.151084 | + | 0.261684i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 27.9676 | + | 48.4412i | 0.987569 | + | 1.71052i | ||||
\(803\) | −7.78859 | + | 13.4902i | −0.274853 | + | 0.476060i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 9.74817 | + | 37.9595i | 0.343578 | + | 1.33790i | ||||
\(806\) | −72.7638 | −2.56299 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 15.0147 | + | 26.0062i | 0.528214 | + | 0.914894i | ||||
\(809\) | −18.4335 | − | 31.9278i | −0.648087 | − | 1.12252i | −0.983579 | − | 0.180477i | \(-0.942236\pi\) |
0.335492 | − | 0.942043i | \(-0.391098\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −45.4803 | −1.59703 | −0.798515 | − | 0.601974i | \(-0.794381\pi\) | ||||
−0.798515 | + | 0.601974i | \(0.794381\pi\) | |||||||
\(812\) | 19.7147 | + | 76.7693i | 0.691851 | + | 2.69408i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −28.9728 | + | 50.1823i | −1.01549 | + | 1.75889i | ||||
\(815\) | −3.24660 | − | 5.62328i | −0.113724 | − | 0.196975i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −2.31417 | + | 4.00826i | −0.0809626 | + | 0.140231i | ||||
\(818\) | −61.8764 | −2.16346 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −50.1168 | −1.75015 | ||||||||
\(821\) | 12.7761 | − | 22.1288i | 0.445888 | − | 0.772301i | −0.552226 | − | 0.833695i | \(-0.686221\pi\) |
0.998114 | + | 0.0613939i | \(0.0195546\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −3.77591 | − | 6.54008i | −0.131620 | − | 0.227973i | 0.792681 | − | 0.609636i | \(-0.208685\pi\) |
−0.924301 | + | 0.381664i | \(0.875351\pi\) | |||||||
\(824\) | 5.77403 | − | 10.0009i | 0.201148 | − | 0.348398i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −57.0755 | − | 15.9330i | −1.98591 | − | 0.554379i | ||||
\(827\) | 30.8901 | 1.07415 | 0.537077 | − | 0.843533i | \(-0.319528\pi\) | ||||
0.537077 | + | 0.843533i | \(0.319528\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −13.1893 | − | 22.8446i | −0.458084 | − | 0.793424i | 0.540776 | − | 0.841167i | \(-0.318131\pi\) |
−0.998860 | + | 0.0477425i | \(0.984797\pi\) | |||||||
\(830\) | 2.15956 | + | 3.74046i | 0.0749593 | + | 0.129833i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 64.4049 | 2.23284 | ||||||||
\(833\) | −0.816867 | + | 39.1660i | −0.0283028 | + | 1.35702i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −2.47788 | + | 4.29181i | −0.0857506 | + | 0.148524i | ||||
\(836\) | −5.29285 | − | 9.16748i | −0.183057 | − | 0.317064i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 28.0733 | − | 48.6244i | 0.969776 | − | 1.67970i | ||||
\(839\) | 2.55457 | 0.0881935 | 0.0440968 | − | 0.999027i | \(-0.485959\pi\) | ||||
0.0440968 | + | 0.999027i | \(0.485959\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 58.0208 | 2.00072 | ||||||||
\(842\) | 19.5402 | − | 33.8446i | 0.673399 | − | 1.16636i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −18.7219 | − | 32.4272i | −0.644433 | − | 1.11619i | ||||
\(845\) | −14.7952 | + | 25.6261i | −0.508972 | + | 0.881565i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −0.254294 | + | 0.249046i | −0.00873765 | + | 0.00855731i | ||||
\(848\) | −1.00515 | −0.0345171 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −9.44320 | − | 16.3561i | −0.323899 | − | 0.561010i | ||||
\(851\) | −22.4077 | − | 38.8112i | −0.768125 | − | 1.33043i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −52.1083 | −1.78416 | −0.892078 | − | 0.451882i | \(-0.850753\pi\) | ||||
−0.892078 | + | 0.451882i | \(0.850753\pi\) | |||||||
\(854\) | 2.72805 | + | 10.6230i | 0.0933518 | + | 0.363513i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 5.04346 | − | 8.73553i | 0.172382 | − | 0.298574i | ||||
\(857\) | −3.72754 | − | 6.45628i | −0.127330 | − | 0.220542i | 0.795311 | − | 0.606201i | \(-0.207307\pi\) |
−0.922641 | + | 0.385659i | \(0.873974\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 14.9701 | − | 25.9289i | 0.510772 | − | 0.884684i | −0.489150 | − | 0.872200i | \(-0.662693\pi\) |
0.999922 | − | 0.0124838i | \(-0.00397382\pi\) | |||||||
\(860\) | −37.8314 | −1.29004 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −44.8087 | −1.52619 | ||||||||
\(863\) | −7.19480 | + | 12.4618i | −0.244914 | + | 0.424204i | −0.962107 | − | 0.272671i | \(-0.912093\pi\) |
0.717193 | + | 0.696874i | \(0.245426\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 19.1777 | + | 33.2168i | 0.652063 | + | 1.12941i | ||||
\(866\) | 34.2536 | − | 59.3289i | 1.16398 | − | 2.01608i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −38.9900 | + | 38.1853i | −1.32341 | + | 1.29609i | ||||
\(869\) | 42.5172 | 1.44230 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 8.34504 | + | 14.4540i | 0.282761 | + | 0.489756i | ||||
\(872\) | 19.5956 | + | 33.9406i | 0.663592 | + | 1.14937i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 13.2858 | 0.449397 | ||||||||
\(875\) | 22.8421 | + | 6.37651i | 0.772204 | + | 0.215566i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −27.3998 | + | 47.4579i | −0.925226 | + | 1.60254i | −0.134029 | + | 0.990977i | \(0.542792\pi\) |
−0.791197 | + | 0.611561i | \(0.790542\pi\) | |||||||
\(878\) | −13.2908 | − | 23.0203i | −0.448542 | − | 0.776898i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.460112 | + | 0.796937i | −0.0155104 | + | 0.0268647i | ||||
\(881\) | 20.3805 | 0.686638 | 0.343319 | − | 0.939219i | \(-0.388449\pi\) | ||||
0.343319 | + | 0.939219i | \(0.388449\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −20.1615 | −0.678488 | −0.339244 | − | 0.940698i | \(-0.610171\pi\) | ||||
−0.339244 | + | 0.940698i | \(0.610171\pi\) | |||||||
\(884\) | −44.5929 | + | 77.2372i | −1.49982 | + | 2.59777i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 22.0728 | + | 38.2312i | 0.741549 | + | 1.28440i | ||||
\(887\) | −22.5022 | + | 38.9749i | −0.755549 | + | 1.30865i | 0.189552 | + | 0.981871i | \(0.439296\pi\) |
−0.945101 | + | 0.326778i | \(0.894037\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 13.4249 | + | 3.74765i | 0.450258 | + | 0.125692i | ||||
\(890\) | −66.2670 | −2.22128 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −22.2090 | − | 38.4671i | −0.743613 | − | 1.28797i | ||||
\(893\) | 3.15720 | + | 5.46842i | 0.105652 | + | 0.182994i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −59.4501 | −1.98720 | ||||||||
\(896\) | 34.1477 | − | 33.4429i | 1.14080 | − | 1.11725i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 39.8329 | − | 68.9927i | 1.32924 | − | 2.30231i | ||||
\(899\) | 29.9588 | + | 51.8902i | 0.999182 | + | 1.73063i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 25.6431 | − | 44.4151i | 0.854295 | − | 1.47968i | ||||
\(902\) | −46.1380 | −1.53623 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −25.4633 | −0.846895 | ||||||||
\(905\) | −27.7788 | + | 48.1142i | −0.923398 | + | 1.59937i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 12.9338 | + | 22.4020i | 0.429459 | + | 0.743846i | 0.996825 | − | 0.0796203i | \(-0.0253708\pi\) |
−0.567366 | + | 0.823466i | \(0.692037\pi\) | |||||||
\(908\) | 22.1433 | − | 38.3532i | 0.734850 | − | 1.27280i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 18.9752 | + | 73.8897i | 0.629022 | + | 2.44942i | ||||
\(911\) | 8.50711 | 0.281853 | 0.140927 | − | 0.990020i | \(-0.454992\pi\) | ||||
0.140927 | + | 0.990020i | \(0.454992\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1.22513 | + | 2.12198i | 0.0405457 | + | 0.0702273i | ||||
\(914\) | −3.55218 | − | 6.15255i | −0.117496 | − | 0.203508i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 44.8455 | 1.48174 | ||||||||
\(917\) | 15.0015 | − | 14.6919i | 0.495395 | − | 0.485170i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −13.8584 | + | 24.0034i | −0.457146 | + | 0.791800i | −0.998809 | − | 0.0487956i | \(-0.984462\pi\) |
0.541663 | + | 0.840596i | \(0.317795\pi\) | |||||||
\(920\) | 20.4822 | + | 35.4762i | 0.675279 | + | 1.16962i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −24.7202 | + | 42.8166i | −0.814116 | + | 1.41009i | ||||
\(923\) | 10.0076 | 0.329404 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 11.3837 | 0.374294 | ||||||||
\(926\) | −31.3025 | + | 54.2175i | −1.02866 | + | 1.78170i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −26.9655 | − | 46.7055i | −0.885184 | − | 1.53318i | ||||
\(929\) | −9.84267 | + | 17.0480i | −0.322928 | + | 0.559327i | −0.981091 | − | 0.193548i | \(-0.938000\pi\) |
0.658163 | + | 0.752875i | \(0.271334\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 6.13384 | − | 3.37283i | 0.201029 | − | 0.110540i | ||||
\(932\) | 54.5418 | 1.78658 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 31.1090 | + | 53.8824i | 1.01792 | + | 1.76309i | ||||
\(935\) | −23.4764 | − | 40.6623i | −0.767759 | − | 1.32980i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 39.0825 | 1.27677 | 0.638385 | − | 0.769717i | \(-0.279603\pi\) | ||||
0.638385 | + | 0.769717i | \(0.279603\pi\) | |||||||
\(938\) | 19.5657 | + | 5.46189i | 0.638843 | + | 0.178337i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −25.8064 | + | 44.6980i | −0.841713 | + | 1.45789i | ||||
\(941\) | 23.0669 | + | 39.9530i | 0.751958 | + | 1.30243i | 0.946872 | + | 0.321610i | \(0.104224\pi\) |
−0.194914 | + | 0.980820i | \(0.562443\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 17.8417 | − | 30.9027i | 0.581005 | − | 1.00633i | ||||
\(944\) | 1.07611 | 0.0350244 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −34.8279 | −1.13235 | ||||||||
\(947\) | 4.92484 | − | 8.53007i | 0.160036 | − | 0.277190i | −0.774846 | − | 0.632151i | \(-0.782172\pi\) |
0.934881 | + | 0.354961i | \(0.115506\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −11.7254 | − | 20.3091i | −0.380624 | − | 0.659260i | ||||
\(950\) | −1.68738 | + | 2.92263i | −0.0547459 | + | 0.0948227i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 10.1849 | + | 39.6601i | 0.330094 | + | 1.28539i | ||||
\(953\) | −23.5275 | −0.762131 | −0.381066 | − | 0.924548i | \(-0.624443\pi\) | ||||
−0.381066 | + | 0.924548i | \(0.624443\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −13.6617 | − | 23.6628i | −0.442083 | − | 0.765711i | ||||
\(956\) | 4.40528 | + | 7.63016i | 0.142477 | + | 0.246777i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −81.2669 | −2.62561 | ||||||||
\(959\) | −5.39402 | − | 21.0044i | −0.174182 | − | 0.678267i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −5.12794 | + | 8.88186i | −0.165418 | + | 0.286512i | ||||
\(962\) | −43.6175 | − | 75.5476i | −1.40628 | − | 2.43575i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −15.9481 | + | 27.6229i | −0.513653 | + | 0.889673i | ||||
\(965\) | 45.8669 | 1.47651 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 19.3664 | 0.622783 | 0.311391 | − | 0.950282i | \(-0.399205\pi\) | ||||
0.311391 | + | 0.950282i | \(0.399205\pi\) | |||||||
\(968\) | −0.186019 | + | 0.322195i | −0.00597889 | + | 0.0103557i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −49.1592 | − | 85.1462i | −1.57841 | − | 2.73388i | ||||
\(971\) | −19.5531 | + | 33.8669i | −0.627488 | + | 1.08684i | 0.360566 | + | 0.932734i | \(0.382584\pi\) |
−0.988054 | + | 0.154108i | \(0.950750\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −23.4665 | − | 6.55081i | −0.752300 | − | 0.210009i | ||||
\(974\) | −49.2192 | −1.57709 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −0.0995861 | − | 0.172488i | −0.00318767 | − | 0.00552121i | ||||
\(977\) | 21.6273 | + | 37.4595i | 0.691917 | + | 1.19844i | 0.971209 | + | 0.238230i | \(0.0765671\pi\) |
−0.279291 | + | 0.960206i | \(0.590100\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −37.5935 | −1.20149 | ||||||||
\(980\) | 48.9440 | + | 29.6355i | 1.56346 | + | 0.946670i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −4.63493 | + | 8.02793i | −0.147907 | + | 0.256182i | ||||
\(983\) | −0.0719590 | − | 0.124637i | −0.00229513 | − | 0.00397529i | 0.864876 | − | 0.501986i | \(-0.167397\pi\) |
−0.867171 | + | 0.498011i | \(0.834064\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −4.31739 | + | 7.47794i | −0.137564 | + | 0.238267i | ||||
\(986\) | 119.178 | 3.79539 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 15.9364 | 0.507004 | ||||||||
\(989\) | 13.4680 | − | 23.3273i | 0.428259 | − | 0.741766i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −6.34137 | − | 10.9836i | −0.201440 | − | 0.348905i | 0.747552 | − | 0.664203i | \(-0.231229\pi\) |
−0.948993 | + | 0.315298i | \(0.897896\pi\) | |||||||
\(992\) | 18.5669 | − | 32.1588i | 0.589499 | − | 1.02104i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 8.70218 | − | 8.52258i | 0.276016 | − | 0.270320i | ||||
\(995\) | 0.282302 | 0.00894958 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 11.1801 | + | 19.3645i | 0.354078 | + | 0.613281i | 0.986960 | − | 0.160967i | \(-0.0514614\pi\) |
−0.632882 | + | 0.774248i | \(0.718128\pi\) | |||||||
\(998\) | −15.6172 | − | 27.0497i | −0.494353 | − | 0.856245i | ||||
\(999\) | 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 | 1197.2.j.m.856.7 | 16 | ||
3.2 | odd | 2 | 399.2.j.g.58.2 | ✓ | 16 | ||
7.2 | even | 3 | 8379.2.a.cr.1.2 | 8 | |||
7.4 | even | 3 | inner | 1197.2.j.m.172.7 | 16 | ||
7.5 | odd | 6 | 8379.2.a.cq.1.2 | 8 | |||
21.2 | odd | 6 | 2793.2.a.bm.1.7 | 8 | |||
21.5 | even | 6 | 2793.2.a.bn.1.7 | 8 | |||
21.11 | odd | 6 | 399.2.j.g.172.2 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
399.2.j.g.58.2 | ✓ | 16 | 3.2 | odd | 2 | ||
399.2.j.g.172.2 | yes | 16 | 21.11 | odd | 6 | ||
1197.2.j.m.172.7 | 16 | 7.4 | even | 3 | inner | ||
1197.2.j.m.856.7 | 16 | 1.1 | even | 1 | trivial | ||
2793.2.a.bm.1.7 | 8 | 21.2 | odd | 6 | |||
2793.2.a.bn.1.7 | 8 | 21.5 | even | 6 | |||
8379.2.a.cq.1.2 | 8 | 7.5 | odd | 6 | |||
8379.2.a.cr.1.2 | 8 | 7.2 | even | 3 |