Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [6014,2,Mod(1,6014)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(6014, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("6014.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 6014 = 2 \cdot 31 \cdot 97 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6014.a (trivial) |
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: | yes |
Analytic conductor: | \(48.0220317756\) |
Analytic rank: | \(1\) |
Dimension: | \(21\) |
Twist minimal: | yes |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.20 | ||
Character | \(\chi\) | \(=\) | 6014.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | 0.707107 | ||||||||
\(3\) | 2.22590 | 1.28512 | 0.642561 | − | 0.766234i | \(-0.277872\pi\) | ||||
0.642561 | + | 0.766234i | \(0.277872\pi\) | |||||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | 1.86093 | 0.832232 | 0.416116 | − | 0.909312i | \(-0.363391\pi\) | ||||
0.416116 | + | 0.909312i | \(0.363391\pi\) | |||||||
\(6\) | 2.22590 | 0.908719 | ||||||||
\(7\) | −2.90456 | −1.09782 | −0.548910 | − | 0.835882i | \(-0.684957\pi\) | ||||
−0.548910 | + | 0.835882i | \(0.684957\pi\) | |||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 1.95462 | 0.651540 | ||||||||
\(10\) | 1.86093 | 0.588477 | ||||||||
\(11\) | −5.12448 | −1.54509 | −0.772544 | − | 0.634961i | \(-0.781016\pi\) | ||||
−0.772544 | + | 0.634961i | \(0.781016\pi\) | |||||||
\(12\) | 2.22590 | 0.642561 | ||||||||
\(13\) | −6.02174 | −1.67013 | −0.835066 | − | 0.550150i | \(-0.814570\pi\) | ||||
−0.835066 | + | 0.550150i | \(0.814570\pi\) | |||||||
\(14\) | −2.90456 | −0.776276 | ||||||||
\(15\) | 4.14223 | 1.06952 | ||||||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 4.14179 | 1.00453 | 0.502266 | − | 0.864713i | \(-0.332500\pi\) | ||||
0.502266 | + | 0.864713i | \(0.332500\pi\) | |||||||
\(18\) | 1.95462 | 0.460709 | ||||||||
\(19\) | −4.74903 | −1.08950 | −0.544751 | − | 0.838598i | \(-0.683376\pi\) | ||||
−0.544751 | + | 0.838598i | \(0.683376\pi\) | |||||||
\(20\) | 1.86093 | 0.416116 | ||||||||
\(21\) | −6.46525 | −1.41083 | ||||||||
\(22\) | −5.12448 | −1.09254 | ||||||||
\(23\) | −5.93550 | −1.23764 | −0.618819 | − | 0.785534i | \(-0.712389\pi\) | ||||
−0.618819 | + | 0.785534i | \(0.712389\pi\) | |||||||
\(24\) | 2.22590 | 0.454360 | ||||||||
\(25\) | −1.53695 | −0.307390 | ||||||||
\(26\) | −6.02174 | −1.18096 | ||||||||
\(27\) | −2.32691 | −0.447813 | ||||||||
\(28\) | −2.90456 | −0.548910 | ||||||||
\(29\) | 2.07949 | 0.386152 | 0.193076 | − | 0.981184i | \(-0.438154\pi\) | ||||
0.193076 | + | 0.981184i | \(0.438154\pi\) | |||||||
\(30\) | 4.14223 | 0.756265 | ||||||||
\(31\) | 1.00000 | 0.179605 | ||||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | −11.4066 | −1.98563 | ||||||||
\(34\) | 4.14179 | 0.710311 | ||||||||
\(35\) | −5.40517 | −0.913641 | ||||||||
\(36\) | 1.95462 | 0.325770 | ||||||||
\(37\) | −7.19584 | −1.18299 | −0.591495 | − | 0.806309i | \(-0.701462\pi\) | ||||
−0.591495 | + | 0.806309i | \(0.701462\pi\) | |||||||
\(38\) | −4.74903 | −0.770394 | ||||||||
\(39\) | −13.4038 | −2.14632 | ||||||||
\(40\) | 1.86093 | 0.294238 | ||||||||
\(41\) | 4.62169 | 0.721786 | 0.360893 | − | 0.932607i | \(-0.382472\pi\) | ||||
0.360893 | + | 0.932607i | \(0.382472\pi\) | |||||||
\(42\) | −6.46525 | −0.997610 | ||||||||
\(43\) | 6.37322 | 0.971907 | 0.485954 | − | 0.873985i | \(-0.338472\pi\) | ||||
0.485954 | + | 0.873985i | \(0.338472\pi\) | |||||||
\(44\) | −5.12448 | −0.772544 | ||||||||
\(45\) | 3.63741 | 0.542233 | ||||||||
\(46\) | −5.93550 | −0.875142 | ||||||||
\(47\) | 10.0122 | 1.46043 | 0.730217 | − | 0.683216i | \(-0.239419\pi\) | ||||
0.730217 | + | 0.683216i | \(0.239419\pi\) | |||||||
\(48\) | 2.22590 | 0.321281 | ||||||||
\(49\) | 1.43646 | 0.205208 | ||||||||
\(50\) | −1.53695 | −0.217358 | ||||||||
\(51\) | 9.21920 | 1.29095 | ||||||||
\(52\) | −6.02174 | −0.835066 | ||||||||
\(53\) | −12.1450 | −1.66824 | −0.834119 | − | 0.551584i | \(-0.814023\pi\) | ||||
−0.834119 | + | 0.551584i | \(0.814023\pi\) | |||||||
\(54\) | −2.32691 | −0.316652 | ||||||||
\(55\) | −9.53628 | −1.28587 | ||||||||
\(56\) | −2.90456 | −0.388138 | ||||||||
\(57\) | −10.5709 | −1.40014 | ||||||||
\(58\) | 2.07949 | 0.273051 | ||||||||
\(59\) | 2.76103 | 0.359455 | 0.179728 | − | 0.983716i | \(-0.442478\pi\) | ||||
0.179728 | + | 0.983716i | \(0.442478\pi\) | |||||||
\(60\) | 4.14223 | 0.534760 | ||||||||
\(61\) | −12.0007 | −1.53653 | −0.768264 | − | 0.640133i | \(-0.778879\pi\) | ||||
−0.768264 | + | 0.640133i | \(0.778879\pi\) | |||||||
\(62\) | 1.00000 | 0.127000 | ||||||||
\(63\) | −5.67731 | −0.715274 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −11.2060 | −1.38994 | ||||||||
\(66\) | −11.4066 | −1.40405 | ||||||||
\(67\) | 10.0168 | 1.22375 | 0.611874 | − | 0.790956i | \(-0.290416\pi\) | ||||
0.611874 | + | 0.790956i | \(0.290416\pi\) | |||||||
\(68\) | 4.14179 | 0.502266 | ||||||||
\(69\) | −13.2118 | −1.59052 | ||||||||
\(70\) | −5.40517 | −0.646042 | ||||||||
\(71\) | −5.90655 | −0.700979 | −0.350489 | − | 0.936567i | \(-0.613985\pi\) | ||||
−0.350489 | + | 0.936567i | \(0.613985\pi\) | |||||||
\(72\) | 1.95462 | 0.230354 | ||||||||
\(73\) | 8.57239 | 1.00332 | 0.501661 | − | 0.865064i | \(-0.332722\pi\) | ||||
0.501661 | + | 0.865064i | \(0.332722\pi\) | |||||||
\(74\) | −7.19584 | −0.836500 | ||||||||
\(75\) | −3.42109 | −0.395034 | ||||||||
\(76\) | −4.74903 | −0.544751 | ||||||||
\(77\) | 14.8843 | 1.69623 | ||||||||
\(78\) | −13.4038 | −1.51768 | ||||||||
\(79\) | 2.29281 | 0.257961 | 0.128981 | − | 0.991647i | \(-0.458829\pi\) | ||||
0.128981 | + | 0.991647i | \(0.458829\pi\) | |||||||
\(80\) | 1.86093 | 0.208058 | ||||||||
\(81\) | −11.0433 | −1.22704 | ||||||||
\(82\) | 4.62169 | 0.510380 | ||||||||
\(83\) | 3.20119 | 0.351376 | 0.175688 | − | 0.984446i | \(-0.443785\pi\) | ||||
0.175688 | + | 0.984446i | \(0.443785\pi\) | |||||||
\(84\) | −6.46525 | −0.705417 | ||||||||
\(85\) | 7.70757 | 0.836003 | ||||||||
\(86\) | 6.37322 | 0.687242 | ||||||||
\(87\) | 4.62874 | 0.496253 | ||||||||
\(88\) | −5.12448 | −0.546271 | ||||||||
\(89\) | 12.4242 | 1.31696 | 0.658481 | − | 0.752598i | \(-0.271199\pi\) | ||||
0.658481 | + | 0.752598i | \(0.271199\pi\) | |||||||
\(90\) | 3.63741 | 0.383416 | ||||||||
\(91\) | 17.4905 | 1.83350 | ||||||||
\(92\) | −5.93550 | −0.618819 | ||||||||
\(93\) | 2.22590 | 0.230815 | ||||||||
\(94\) | 10.0122 | 1.03268 | ||||||||
\(95\) | −8.83760 | −0.906718 | ||||||||
\(96\) | 2.22590 | 0.227180 | ||||||||
\(97\) | −1.00000 | −0.101535 | ||||||||
\(98\) | 1.43646 | 0.145104 | ||||||||
\(99\) | −10.0164 | −1.00669 | ||||||||
\(100\) | −1.53695 | −0.153695 | ||||||||
\(101\) | −8.55427 | −0.851181 | −0.425591 | − | 0.904916i | \(-0.639934\pi\) | ||||
−0.425591 | + | 0.904916i | \(0.639934\pi\) | |||||||
\(102\) | 9.21920 | 0.912837 | ||||||||
\(103\) | −8.87731 | −0.874708 | −0.437354 | − | 0.899290i | \(-0.644084\pi\) | ||||
−0.437354 | + | 0.899290i | \(0.644084\pi\) | |||||||
\(104\) | −6.02174 | −0.590481 | ||||||||
\(105\) | −12.0314 | −1.17414 | ||||||||
\(106\) | −12.1450 | −1.17962 | ||||||||
\(107\) | −15.8211 | −1.52948 | −0.764742 | − | 0.644336i | \(-0.777134\pi\) | ||||
−0.764742 | + | 0.644336i | \(0.777134\pi\) | |||||||
\(108\) | −2.32691 | −0.223907 | ||||||||
\(109\) | 8.57088 | 0.820941 | 0.410471 | − | 0.911874i | \(-0.365364\pi\) | ||||
0.410471 | + | 0.911874i | \(0.365364\pi\) | |||||||
\(110\) | −9.53628 | −0.909249 | ||||||||
\(111\) | −16.0172 | −1.52029 | ||||||||
\(112\) | −2.90456 | −0.274455 | ||||||||
\(113\) | −7.21645 | −0.678867 | −0.339433 | − | 0.940630i | \(-0.610235\pi\) | ||||
−0.339433 | + | 0.940630i | \(0.610235\pi\) | |||||||
\(114\) | −10.5709 | −0.990051 | ||||||||
\(115\) | −11.0455 | −1.03000 | ||||||||
\(116\) | 2.07949 | 0.193076 | ||||||||
\(117\) | −11.7702 | −1.08816 | ||||||||
\(118\) | 2.76103 | 0.254173 | ||||||||
\(119\) | −12.0301 | −1.10279 | ||||||||
\(120\) | 4.14223 | 0.378132 | ||||||||
\(121\) | 15.2603 | 1.38730 | ||||||||
\(122\) | −12.0007 | −1.08649 | ||||||||
\(123\) | 10.2874 | 0.927584 | ||||||||
\(124\) | 1.00000 | 0.0898027 | ||||||||
\(125\) | −12.1648 | −1.08805 | ||||||||
\(126\) | −5.67731 | −0.505775 | ||||||||
\(127\) | 8.95218 | 0.794378 | 0.397189 | − | 0.917737i | \(-0.369986\pi\) | ||||
0.397189 | + | 0.917737i | \(0.369986\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | 14.1861 | 1.24902 | ||||||||
\(130\) | −11.2060 | −0.982834 | ||||||||
\(131\) | 2.78253 | 0.243111 | 0.121555 | − | 0.992585i | \(-0.461212\pi\) | ||||
0.121555 | + | 0.992585i | \(0.461212\pi\) | |||||||
\(132\) | −11.4066 | −0.992814 | ||||||||
\(133\) | 13.7938 | 1.19608 | ||||||||
\(134\) | 10.0168 | 0.865320 | ||||||||
\(135\) | −4.33020 | −0.372684 | ||||||||
\(136\) | 4.14179 | 0.355155 | ||||||||
\(137\) | 16.2287 | 1.38651 | 0.693255 | − | 0.720692i | \(-0.256176\pi\) | ||||
0.693255 | + | 0.720692i | \(0.256176\pi\) | |||||||
\(138\) | −13.2118 | −1.12467 | ||||||||
\(139\) | 20.8267 | 1.76650 | 0.883249 | − | 0.468905i | \(-0.155351\pi\) | ||||
0.883249 | + | 0.468905i | \(0.155351\pi\) | |||||||
\(140\) | −5.40517 | −0.456820 | ||||||||
\(141\) | 22.2862 | 1.87684 | ||||||||
\(142\) | −5.90655 | −0.495667 | ||||||||
\(143\) | 30.8583 | 2.58050 | ||||||||
\(144\) | 1.95462 | 0.162885 | ||||||||
\(145\) | 3.86978 | 0.321368 | ||||||||
\(146\) | 8.57239 | 0.709456 | ||||||||
\(147\) | 3.19741 | 0.263718 | ||||||||
\(148\) | −7.19584 | −0.591495 | ||||||||
\(149\) | −8.72274 | −0.714595 | −0.357297 | − | 0.933991i | \(-0.616302\pi\) | ||||
−0.357297 | + | 0.933991i | \(0.616302\pi\) | |||||||
\(150\) | −3.42109 | −0.279331 | ||||||||
\(151\) | −15.3256 | −1.24718 | −0.623591 | − | 0.781751i | \(-0.714327\pi\) | ||||
−0.623591 | + | 0.781751i | \(0.714327\pi\) | |||||||
\(152\) | −4.74903 | −0.385197 | ||||||||
\(153\) | 8.09563 | 0.654493 | ||||||||
\(154\) | 14.8843 | 1.19941 | ||||||||
\(155\) | 1.86093 | 0.149473 | ||||||||
\(156\) | −13.4038 | −1.07316 | ||||||||
\(157\) | 9.80769 | 0.782739 | 0.391370 | − | 0.920234i | \(-0.372001\pi\) | ||||
0.391370 | + | 0.920234i | \(0.372001\pi\) | |||||||
\(158\) | 2.29281 | 0.182406 | ||||||||
\(159\) | −27.0334 | −2.14389 | ||||||||
\(160\) | 1.86093 | 0.147119 | ||||||||
\(161\) | 17.2400 | 1.35870 | ||||||||
\(162\) | −11.0433 | −0.867645 | ||||||||
\(163\) | −5.37431 | −0.420949 | −0.210474 | − | 0.977599i | \(-0.567501\pi\) | ||||
−0.210474 | + | 0.977599i | \(0.567501\pi\) | |||||||
\(164\) | 4.62169 | 0.360893 | ||||||||
\(165\) | −21.2268 | −1.65250 | ||||||||
\(166\) | 3.20119 | 0.248460 | ||||||||
\(167\) | −19.6741 | −1.52243 | −0.761213 | − | 0.648502i | \(-0.775396\pi\) | ||||
−0.761213 | + | 0.648502i | \(0.775396\pi\) | |||||||
\(168\) | −6.46525 | −0.498805 | ||||||||
\(169\) | 23.2614 | 1.78934 | ||||||||
\(170\) | 7.70757 | 0.591143 | ||||||||
\(171\) | −9.28256 | −0.709855 | ||||||||
\(172\) | 6.37322 | 0.485954 | ||||||||
\(173\) | −9.66667 | −0.734943 | −0.367472 | − | 0.930035i | \(-0.619776\pi\) | ||||
−0.367472 | + | 0.930035i | \(0.619776\pi\) | |||||||
\(174\) | 4.62874 | 0.350904 | ||||||||
\(175\) | 4.46416 | 0.337459 | ||||||||
\(176\) | −5.12448 | −0.386272 | ||||||||
\(177\) | 6.14577 | 0.461944 | ||||||||
\(178\) | 12.4242 | 0.931232 | ||||||||
\(179\) | −5.71265 | −0.426984 | −0.213492 | − | 0.976945i | \(-0.568484\pi\) | ||||
−0.213492 | + | 0.976945i | \(0.568484\pi\) | |||||||
\(180\) | 3.63741 | 0.271116 | ||||||||
\(181\) | 13.4152 | 0.997142 | 0.498571 | − | 0.866849i | \(-0.333858\pi\) | ||||
0.498571 | + | 0.866849i | \(0.333858\pi\) | |||||||
\(182\) | 17.4905 | 1.29648 | ||||||||
\(183\) | −26.7123 | −1.97463 | ||||||||
\(184\) | −5.93550 | −0.437571 | ||||||||
\(185\) | −13.3909 | −0.984522 | ||||||||
\(186\) | 2.22590 | 0.163211 | ||||||||
\(187\) | −21.2245 | −1.55209 | ||||||||
\(188\) | 10.0122 | 0.730217 | ||||||||
\(189\) | 6.75863 | 0.491618 | ||||||||
\(190\) | −8.83760 | −0.641147 | ||||||||
\(191\) | −8.50762 | −0.615590 | −0.307795 | − | 0.951453i | \(-0.599591\pi\) | ||||
−0.307795 | + | 0.951453i | \(0.599591\pi\) | |||||||
\(192\) | 2.22590 | 0.160640 | ||||||||
\(193\) | −12.6740 | −0.912295 | −0.456147 | − | 0.889904i | \(-0.650771\pi\) | ||||
−0.456147 | + | 0.889904i | \(0.650771\pi\) | |||||||
\(194\) | −1.00000 | −0.0717958 | ||||||||
\(195\) | −24.9435 | −1.78624 | ||||||||
\(196\) | 1.43646 | 0.102604 | ||||||||
\(197\) | 19.0356 | 1.35623 | 0.678115 | − | 0.734956i | \(-0.262797\pi\) | ||||
0.678115 | + | 0.734956i | \(0.262797\pi\) | |||||||
\(198\) | −10.0164 | −0.711836 | ||||||||
\(199\) | 8.99317 | 0.637509 | 0.318754 | − | 0.947837i | \(-0.396735\pi\) | ||||
0.318754 | + | 0.947837i | \(0.396735\pi\) | |||||||
\(200\) | −1.53695 | −0.108679 | ||||||||
\(201\) | 22.2964 | 1.57267 | ||||||||
\(202\) | −8.55427 | −0.601876 | ||||||||
\(203\) | −6.04001 | −0.423925 | ||||||||
\(204\) | 9.21920 | 0.645473 | ||||||||
\(205\) | 8.60062 | 0.600693 | ||||||||
\(206\) | −8.87731 | −0.618512 | ||||||||
\(207\) | −11.6017 | −0.806371 | ||||||||
\(208\) | −6.02174 | −0.417533 | ||||||||
\(209\) | 24.3363 | 1.68338 | ||||||||
\(210\) | −12.0314 | −0.830243 | ||||||||
\(211\) | −22.1304 | −1.52352 | −0.761760 | − | 0.647860i | \(-0.775664\pi\) | ||||
−0.761760 | + | 0.647860i | \(0.775664\pi\) | |||||||
\(212\) | −12.1450 | −0.834119 | ||||||||
\(213\) | −13.1474 | −0.900844 | ||||||||
\(214\) | −15.8211 | −1.08151 | ||||||||
\(215\) | 11.8601 | 0.808852 | ||||||||
\(216\) | −2.32691 | −0.158326 | ||||||||
\(217\) | −2.90456 | −0.197174 | ||||||||
\(218\) | 8.57088 | 0.580493 | ||||||||
\(219\) | 19.0813 | 1.28939 | ||||||||
\(220\) | −9.53628 | −0.642936 | ||||||||
\(221\) | −24.9408 | −1.67770 | ||||||||
\(222\) | −16.0172 | −1.07500 | ||||||||
\(223\) | −16.6847 | −1.11729 | −0.558644 | − | 0.829407i | \(-0.688678\pi\) | ||||
−0.558644 | + | 0.829407i | \(0.688678\pi\) | |||||||
\(224\) | −2.90456 | −0.194069 | ||||||||
\(225\) | −3.00416 | −0.200277 | ||||||||
\(226\) | −7.21645 | −0.480031 | ||||||||
\(227\) | −0.220021 | −0.0146033 | −0.00730165 | − | 0.999973i | \(-0.502324\pi\) | ||||
−0.00730165 | + | 0.999973i | \(0.502324\pi\) | |||||||
\(228\) | −10.5709 | −0.700072 | ||||||||
\(229\) | −21.3554 | −1.41121 | −0.705603 | − | 0.708607i | \(-0.749324\pi\) | ||||
−0.705603 | + | 0.708607i | \(0.749324\pi\) | |||||||
\(230\) | −11.0455 | −0.728321 | ||||||||
\(231\) | 33.1310 | 2.17986 | ||||||||
\(232\) | 2.07949 | 0.136525 | ||||||||
\(233\) | −20.7877 | −1.36185 | −0.680925 | − | 0.732353i | \(-0.738422\pi\) | ||||
−0.680925 | + | 0.732353i | \(0.738422\pi\) | |||||||
\(234\) | −11.7702 | −0.769444 | ||||||||
\(235\) | 18.6320 | 1.21542 | ||||||||
\(236\) | 2.76103 | 0.179728 | ||||||||
\(237\) | 5.10356 | 0.331512 | ||||||||
\(238\) | −12.0301 | −0.779793 | ||||||||
\(239\) | −9.73993 | −0.630024 | −0.315012 | − | 0.949088i | \(-0.602008\pi\) | ||||
−0.315012 | + | 0.949088i | \(0.602008\pi\) | |||||||
\(240\) | 4.14223 | 0.267380 | ||||||||
\(241\) | −6.86444 | −0.442177 | −0.221089 | − | 0.975254i | \(-0.570961\pi\) | ||||
−0.221089 | + | 0.975254i | \(0.570961\pi\) | |||||||
\(242\) | 15.2603 | 0.980968 | ||||||||
\(243\) | −17.6006 | −1.12908 | ||||||||
\(244\) | −12.0007 | −0.768264 | ||||||||
\(245\) | 2.67314 | 0.170781 | ||||||||
\(246\) | 10.2874 | 0.655901 | ||||||||
\(247\) | 28.5974 | 1.81961 | ||||||||
\(248\) | 1.00000 | 0.0635001 | ||||||||
\(249\) | 7.12551 | 0.451561 | ||||||||
\(250\) | −12.1648 | −0.769369 | ||||||||
\(251\) | 20.8765 | 1.31771 | 0.658857 | − | 0.752268i | \(-0.271040\pi\) | ||||
0.658857 | + | 0.752268i | \(0.271040\pi\) | |||||||
\(252\) | −5.67731 | −0.357637 | ||||||||
\(253\) | 30.4164 | 1.91226 | ||||||||
\(254\) | 8.95218 | 0.561710 | ||||||||
\(255\) | 17.1563 | 1.07437 | ||||||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 9.98085 | 0.622589 | 0.311294 | − | 0.950314i | \(-0.399238\pi\) | ||||
0.311294 | + | 0.950314i | \(0.399238\pi\) | |||||||
\(258\) | 14.1861 | 0.883190 | ||||||||
\(259\) | 20.9007 | 1.29871 | ||||||||
\(260\) | −11.2060 | −0.694968 | ||||||||
\(261\) | 4.06462 | 0.251594 | ||||||||
\(262\) | 2.78253 | 0.171905 | ||||||||
\(263\) | −1.17374 | −0.0723761 | −0.0361881 | − | 0.999345i | \(-0.511522\pi\) | ||||
−0.0361881 | + | 0.999345i | \(0.511522\pi\) | |||||||
\(264\) | −11.4066 | −0.702026 | ||||||||
\(265\) | −22.6009 | −1.38836 | ||||||||
\(266\) | 13.7938 | 0.845754 | ||||||||
\(267\) | 27.6550 | 1.69246 | ||||||||
\(268\) | 10.0168 | 0.611874 | ||||||||
\(269\) | 23.5745 | 1.43737 | 0.718683 | − | 0.695338i | \(-0.244745\pi\) | ||||
0.718683 | + | 0.695338i | \(0.244745\pi\) | |||||||
\(270\) | −4.33020 | −0.263528 | ||||||||
\(271\) | 17.3609 | 1.05460 | 0.527299 | − | 0.849680i | \(-0.323205\pi\) | ||||
0.527299 | + | 0.849680i | \(0.323205\pi\) | |||||||
\(272\) | 4.14179 | 0.251133 | ||||||||
\(273\) | 38.9321 | 2.35628 | ||||||||
\(274\) | 16.2287 | 0.980411 | ||||||||
\(275\) | 7.87607 | 0.474945 | ||||||||
\(276\) | −13.2118 | −0.795258 | ||||||||
\(277\) | 26.5456 | 1.59497 | 0.797486 | − | 0.603337i | \(-0.206163\pi\) | ||||
0.797486 | + | 0.603337i | \(0.206163\pi\) | |||||||
\(278\) | 20.8267 | 1.24910 | ||||||||
\(279\) | 1.95462 | 0.117020 | ||||||||
\(280\) | −5.40517 | −0.323021 | ||||||||
\(281\) | −22.9362 | −1.36826 | −0.684131 | − | 0.729359i | \(-0.739818\pi\) | ||||
−0.684131 | + | 0.729359i | \(0.739818\pi\) | |||||||
\(282\) | 22.2862 | 1.32712 | ||||||||
\(283\) | −10.7949 | −0.641689 | −0.320845 | − | 0.947132i | \(-0.603967\pi\) | ||||
−0.320845 | + | 0.947132i | \(0.603967\pi\) | |||||||
\(284\) | −5.90655 | −0.350489 | ||||||||
\(285\) | −19.6716 | −1.16524 | ||||||||
\(286\) | 30.8583 | 1.82469 | ||||||||
\(287\) | −13.4240 | −0.792391 | ||||||||
\(288\) | 1.95462 | 0.115177 | ||||||||
\(289\) | 0.154408 | 0.00908281 | ||||||||
\(290\) | 3.86978 | 0.227242 | ||||||||
\(291\) | −2.22590 | −0.130484 | ||||||||
\(292\) | 8.57239 | 0.501661 | ||||||||
\(293\) | 25.4982 | 1.48962 | 0.744810 | − | 0.667276i | \(-0.232540\pi\) | ||||
0.744810 | + | 0.667276i | \(0.232540\pi\) | |||||||
\(294\) | 3.19741 | 0.186477 | ||||||||
\(295\) | 5.13807 | 0.299150 | ||||||||
\(296\) | −7.19584 | −0.418250 | ||||||||
\(297\) | 11.9242 | 0.691911 | ||||||||
\(298\) | −8.72274 | −0.505295 | ||||||||
\(299\) | 35.7421 | 2.06702 | ||||||||
\(300\) | −3.42109 | −0.197517 | ||||||||
\(301\) | −18.5114 | −1.06698 | ||||||||
\(302\) | −15.3256 | −0.881891 | ||||||||
\(303\) | −19.0409 | −1.09387 | ||||||||
\(304\) | −4.74903 | −0.272376 | ||||||||
\(305\) | −22.3324 | −1.27875 | ||||||||
\(306\) | 8.09563 | 0.462796 | ||||||||
\(307\) | −28.3402 | −1.61746 | −0.808730 | − | 0.588180i | \(-0.799845\pi\) | ||||
−0.808730 | + | 0.588180i | \(0.799845\pi\) | |||||||
\(308\) | 14.8843 | 0.848114 | ||||||||
\(309\) | −19.7600 | −1.12411 | ||||||||
\(310\) | 1.86093 | 0.105694 | ||||||||
\(311\) | 2.90990 | 0.165005 | 0.0825027 | − | 0.996591i | \(-0.473709\pi\) | ||||
0.0825027 | + | 0.996591i | \(0.473709\pi\) | |||||||
\(312\) | −13.4038 | −0.758840 | ||||||||
\(313\) | 26.4882 | 1.49720 | 0.748601 | − | 0.663021i | \(-0.230726\pi\) | ||||
0.748601 | + | 0.663021i | \(0.230726\pi\) | |||||||
\(314\) | 9.80769 | 0.553480 | ||||||||
\(315\) | −10.5651 | −0.595274 | ||||||||
\(316\) | 2.29281 | 0.128981 | ||||||||
\(317\) | −16.6807 | −0.936883 | −0.468442 | − | 0.883495i | \(-0.655184\pi\) | ||||
−0.468442 | + | 0.883495i | \(0.655184\pi\) | |||||||
\(318\) | −27.0334 | −1.51596 | ||||||||
\(319\) | −10.6563 | −0.596639 | ||||||||
\(320\) | 1.86093 | 0.104029 | ||||||||
\(321\) | −35.2162 | −1.96558 | ||||||||
\(322\) | 17.2400 | 0.960748 | ||||||||
\(323\) | −19.6695 | −1.09444 | ||||||||
\(324\) | −11.0433 | −0.613518 | ||||||||
\(325\) | 9.25512 | 0.513382 | ||||||||
\(326\) | −5.37431 | −0.297656 | ||||||||
\(327\) | 19.0779 | 1.05501 | ||||||||
\(328\) | 4.62169 | 0.255190 | ||||||||
\(329\) | −29.0811 | −1.60329 | ||||||||
\(330\) | −21.2268 | −1.16850 | ||||||||
\(331\) | −30.8112 | −1.69354 | −0.846769 | − | 0.531961i | \(-0.821455\pi\) | ||||
−0.846769 | + | 0.531961i | \(0.821455\pi\) | |||||||
\(332\) | 3.20119 | 0.175688 | ||||||||
\(333\) | −14.0652 | −0.770766 | ||||||||
\(334\) | −19.6741 | −1.07652 | ||||||||
\(335\) | 18.6405 | 1.01844 | ||||||||
\(336\) | −6.46525 | −0.352708 | ||||||||
\(337\) | 27.9078 | 1.52024 | 0.760119 | − | 0.649784i | \(-0.225141\pi\) | ||||
0.760119 | + | 0.649784i | \(0.225141\pi\) | |||||||
\(338\) | 23.2614 | 1.26525 | ||||||||
\(339\) | −16.0631 | −0.872427 | ||||||||
\(340\) | 7.70757 | 0.418001 | ||||||||
\(341\) | −5.12448 | −0.277506 | ||||||||
\(342\) | −9.28256 | −0.501943 | ||||||||
\(343\) | 16.1596 | 0.872538 | ||||||||
\(344\) | 6.37322 | 0.343621 | ||||||||
\(345\) | −24.5862 | −1.32368 | ||||||||
\(346\) | −9.66667 | −0.519683 | ||||||||
\(347\) | −24.0042 | −1.28861 | −0.644306 | − | 0.764768i | \(-0.722854\pi\) | ||||
−0.644306 | + | 0.764768i | \(0.722854\pi\) | |||||||
\(348\) | 4.62874 | 0.248126 | ||||||||
\(349\) | 33.8405 | 1.81144 | 0.905721 | − | 0.423874i | \(-0.139330\pi\) | ||||
0.905721 | + | 0.423874i | \(0.139330\pi\) | |||||||
\(350\) | 4.46416 | 0.238619 | ||||||||
\(351\) | 14.0120 | 0.747907 | ||||||||
\(352\) | −5.12448 | −0.273136 | ||||||||
\(353\) | 27.0985 | 1.44231 | 0.721154 | − | 0.692774i | \(-0.243612\pi\) | ||||
0.721154 | + | 0.692774i | \(0.243612\pi\) | |||||||
\(354\) | 6.14577 | 0.326644 | ||||||||
\(355\) | −10.9917 | −0.583377 | ||||||||
\(356\) | 12.4242 | 0.658481 | ||||||||
\(357\) | −26.7777 | −1.41723 | ||||||||
\(358\) | −5.71265 | −0.301923 | ||||||||
\(359\) | 21.9690 | 1.15948 | 0.579738 | − | 0.814803i | \(-0.303155\pi\) | ||||
0.579738 | + | 0.814803i | \(0.303155\pi\) | |||||||
\(360\) | 3.63741 | 0.191708 | ||||||||
\(361\) | 3.55328 | 0.187015 | ||||||||
\(362\) | 13.4152 | 0.705086 | ||||||||
\(363\) | 33.9678 | 1.78285 | ||||||||
\(364\) | 17.4905 | 0.916752 | ||||||||
\(365\) | 15.9526 | 0.834997 | ||||||||
\(366\) | −26.7123 | −1.39627 | ||||||||
\(367\) | 14.5511 | 0.759562 | 0.379781 | − | 0.925076i | \(-0.375999\pi\) | ||||
0.379781 | + | 0.925076i | \(0.375999\pi\) | |||||||
\(368\) | −5.93550 | −0.309410 | ||||||||
\(369\) | 9.03365 | 0.470273 | ||||||||
\(370\) | −13.3909 | −0.696162 | ||||||||
\(371\) | 35.2757 | 1.83142 | ||||||||
\(372\) | 2.22590 | 0.115407 | ||||||||
\(373\) | 30.6032 | 1.58458 | 0.792288 | − | 0.610148i | \(-0.208890\pi\) | ||||
0.792288 | + | 0.610148i | \(0.208890\pi\) | |||||||
\(374\) | −21.2245 | −1.09749 | ||||||||
\(375\) | −27.0776 | −1.39828 | ||||||||
\(376\) | 10.0122 | 0.516341 | ||||||||
\(377\) | −12.5222 | −0.644925 | ||||||||
\(378\) | 6.75863 | 0.347627 | ||||||||
\(379\) | −35.0954 | −1.80273 | −0.901366 | − | 0.433059i | \(-0.857434\pi\) | ||||
−0.901366 | + | 0.433059i | \(0.857434\pi\) | |||||||
\(380\) | −8.83760 | −0.453359 | ||||||||
\(381\) | 19.9266 | 1.02087 | ||||||||
\(382\) | −8.50762 | −0.435288 | ||||||||
\(383\) | −32.8082 | −1.67642 | −0.838210 | − | 0.545347i | \(-0.816398\pi\) | ||||
−0.838210 | + | 0.545347i | \(0.816398\pi\) | |||||||
\(384\) | 2.22590 | 0.113590 | ||||||||
\(385\) | 27.6987 | 1.41166 | ||||||||
\(386\) | −12.6740 | −0.645090 | ||||||||
\(387\) | 12.4572 | 0.633237 | ||||||||
\(388\) | −1.00000 | −0.0507673 | ||||||||
\(389\) | −16.3780 | −0.830399 | −0.415200 | − | 0.909730i | \(-0.636288\pi\) | ||||
−0.415200 | + | 0.909730i | \(0.636288\pi\) | |||||||
\(390\) | −24.9435 | −1.26306 | ||||||||
\(391\) | −24.5836 | −1.24325 | ||||||||
\(392\) | 1.43646 | 0.0725521 | ||||||||
\(393\) | 6.19363 | 0.312427 | ||||||||
\(394\) | 19.0356 | 0.958999 | ||||||||
\(395\) | 4.26675 | 0.214684 | ||||||||
\(396\) | −10.0164 | −0.503344 | ||||||||
\(397\) | −3.52150 | −0.176739 | −0.0883695 | − | 0.996088i | \(-0.528166\pi\) | ||||
−0.0883695 | + | 0.996088i | \(0.528166\pi\) | |||||||
\(398\) | 8.99317 | 0.450787 | ||||||||
\(399\) | 30.7037 | 1.53711 | ||||||||
\(400\) | −1.53695 | −0.0768475 | ||||||||
\(401\) | 24.1396 | 1.20547 | 0.602736 | − | 0.797940i | \(-0.294077\pi\) | ||||
0.602736 | + | 0.797940i | \(0.294077\pi\) | |||||||
\(402\) | 22.2964 | 1.11204 | ||||||||
\(403\) | −6.02174 | −0.299964 | ||||||||
\(404\) | −8.55427 | −0.425591 | ||||||||
\(405\) | −20.5508 | −1.02118 | ||||||||
\(406\) | −6.04001 | −0.299760 | ||||||||
\(407\) | 36.8749 | 1.82782 | ||||||||
\(408\) | 9.21920 | 0.456418 | ||||||||
\(409\) | −7.46759 | −0.369249 | −0.184624 | − | 0.982809i | \(-0.559107\pi\) | ||||
−0.184624 | + | 0.982809i | \(0.559107\pi\) | |||||||
\(410\) | 8.60062 | 0.424754 | ||||||||
\(411\) | 36.1234 | 1.78184 | ||||||||
\(412\) | −8.87731 | −0.437354 | ||||||||
\(413\) | −8.01957 | −0.394617 | ||||||||
\(414\) | −11.6017 | −0.570191 | ||||||||
\(415\) | 5.95717 | 0.292426 | ||||||||
\(416\) | −6.02174 | −0.295240 | ||||||||
\(417\) | 46.3581 | 2.27017 | ||||||||
\(418\) | 24.3363 | 1.19033 | ||||||||
\(419\) | −6.60184 | −0.322521 | −0.161261 | − | 0.986912i | \(-0.551556\pi\) | ||||
−0.161261 | + | 0.986912i | \(0.551556\pi\) | |||||||
\(420\) | −12.0314 | −0.587070 | ||||||||
\(421\) | −2.85657 | −0.139221 | −0.0696104 | − | 0.997574i | \(-0.522176\pi\) | ||||
−0.0696104 | + | 0.997574i | \(0.522176\pi\) | |||||||
\(422\) | −22.1304 | −1.07729 | ||||||||
\(423\) | 19.5701 | 0.951531 | ||||||||
\(424\) | −12.1450 | −0.589811 | ||||||||
\(425\) | −6.36572 | −0.308783 | ||||||||
\(426\) | −13.1474 | −0.636993 | ||||||||
\(427\) | 34.8567 | 1.68683 | ||||||||
\(428\) | −15.8211 | −0.764742 | ||||||||
\(429\) | 68.6874 | 3.31626 | ||||||||
\(430\) | 11.8601 | 0.571945 | ||||||||
\(431\) | 20.1215 | 0.969216 | 0.484608 | − | 0.874731i | \(-0.338962\pi\) | ||||
0.484608 | + | 0.874731i | \(0.338962\pi\) | |||||||
\(432\) | −2.32691 | −0.111953 | ||||||||
\(433\) | 0.802879 | 0.0385839 | 0.0192920 | − | 0.999814i | \(-0.493859\pi\) | ||||
0.0192920 | + | 0.999814i | \(0.493859\pi\) | |||||||
\(434\) | −2.90456 | −0.139423 | ||||||||
\(435\) | 8.61374 | 0.412997 | ||||||||
\(436\) | 8.57088 | 0.410471 | ||||||||
\(437\) | 28.1879 | 1.34841 | ||||||||
\(438\) | 19.0813 | 0.911738 | ||||||||
\(439\) | 1.79535 | 0.0856874 | 0.0428437 | − | 0.999082i | \(-0.486358\pi\) | ||||
0.0428437 | + | 0.999082i | \(0.486358\pi\) | |||||||
\(440\) | −9.53628 | −0.454624 | ||||||||
\(441\) | 2.80773 | 0.133702 | ||||||||
\(442\) | −24.9408 | −1.18631 | ||||||||
\(443\) | −38.9530 | −1.85071 | −0.925357 | − | 0.379096i | \(-0.876235\pi\) | ||||
−0.925357 | + | 0.379096i | \(0.876235\pi\) | |||||||
\(444\) | −16.0172 | −0.760143 | ||||||||
\(445\) | 23.1205 | 1.09602 | ||||||||
\(446\) | −16.6847 | −0.790042 | ||||||||
\(447\) | −19.4159 | −0.918342 | ||||||||
\(448\) | −2.90456 | −0.137227 | ||||||||
\(449\) | −18.4435 | −0.870404 | −0.435202 | − | 0.900333i | \(-0.643323\pi\) | ||||
−0.435202 | + | 0.900333i | \(0.643323\pi\) | |||||||
\(450\) | −3.00416 | −0.141617 | ||||||||
\(451\) | −23.6837 | −1.11522 | ||||||||
\(452\) | −7.21645 | −0.339433 | ||||||||
\(453\) | −34.1133 | −1.60278 | ||||||||
\(454\) | −0.220021 | −0.0103261 | ||||||||
\(455\) | 32.5486 | 1.52590 | ||||||||
\(456\) | −10.5709 | −0.495026 | ||||||||
\(457\) | 27.3308 | 1.27848 | 0.639240 | − | 0.769007i | \(-0.279249\pi\) | ||||
0.639240 | + | 0.769007i | \(0.279249\pi\) | |||||||
\(458\) | −21.3554 | −0.997874 | ||||||||
\(459\) | −9.63755 | −0.449842 | ||||||||
\(460\) | −11.0455 | −0.515001 | ||||||||
\(461\) | −18.5691 | −0.864851 | −0.432426 | − | 0.901670i | \(-0.642342\pi\) | ||||
−0.432426 | + | 0.901670i | \(0.642342\pi\) | |||||||
\(462\) | 33.1310 | 1.54140 | ||||||||
\(463\) | 11.0375 | 0.512956 | 0.256478 | − | 0.966550i | \(-0.417438\pi\) | ||||
0.256478 | + | 0.966550i | \(0.417438\pi\) | |||||||
\(464\) | 2.07949 | 0.0965380 | ||||||||
\(465\) | 4.14223 | 0.192091 | ||||||||
\(466\) | −20.7877 | −0.962973 | ||||||||
\(467\) | −38.3447 | −1.77438 | −0.887191 | − | 0.461402i | \(-0.847347\pi\) | ||||
−0.887191 | + | 0.461402i | \(0.847347\pi\) | |||||||
\(468\) | −11.7702 | −0.544079 | ||||||||
\(469\) | −29.0944 | −1.34345 | ||||||||
\(470\) | 18.6320 | 0.859431 | ||||||||
\(471\) | 21.8309 | 1.00592 | ||||||||
\(472\) | 2.76103 | 0.127087 | ||||||||
\(473\) | −32.6594 | −1.50168 | ||||||||
\(474\) | 5.10356 | 0.234414 | ||||||||
\(475\) | 7.29902 | 0.334902 | ||||||||
\(476\) | −12.0301 | −0.551397 | ||||||||
\(477\) | −23.7388 | −1.08692 | ||||||||
\(478\) | −9.73993 | −0.445494 | ||||||||
\(479\) | −6.87617 | −0.314180 | −0.157090 | − | 0.987584i | \(-0.550211\pi\) | ||||
−0.157090 | + | 0.987584i | \(0.550211\pi\) | |||||||
\(480\) | 4.14223 | 0.189066 | ||||||||
\(481\) | 43.3315 | 1.97575 | ||||||||
\(482\) | −6.86444 | −0.312667 | ||||||||
\(483\) | 38.3745 | 1.74610 | ||||||||
\(484\) | 15.2603 | 0.693649 | ||||||||
\(485\) | −1.86093 | −0.0845003 | ||||||||
\(486\) | −17.6006 | −0.798379 | ||||||||
\(487\) | 2.83930 | 0.128661 | 0.0643306 | − | 0.997929i | \(-0.479509\pi\) | ||||
0.0643306 | + | 0.997929i | \(0.479509\pi\) | |||||||
\(488\) | −12.0007 | −0.543245 | ||||||||
\(489\) | −11.9627 | −0.540971 | ||||||||
\(490\) | 2.67314 | 0.120760 | ||||||||
\(491\) | 24.7191 | 1.11556 | 0.557779 | − | 0.829989i | \(-0.311654\pi\) | ||||
0.557779 | + | 0.829989i | \(0.311654\pi\) | |||||||
\(492\) | 10.2874 | 0.463792 | ||||||||
\(493\) | 8.61282 | 0.387902 | ||||||||
\(494\) | 28.5974 | 1.28666 | ||||||||
\(495\) | −18.6398 | −0.837798 | ||||||||
\(496\) | 1.00000 | 0.0449013 | ||||||||
\(497\) | 17.1559 | 0.769548 | ||||||||
\(498\) | 7.12551 | 0.319302 | ||||||||
\(499\) | −33.9999 | −1.52204 | −0.761022 | − | 0.648726i | \(-0.775302\pi\) | ||||
−0.761022 | + | 0.648726i | \(0.775302\pi\) | |||||||
\(500\) | −12.1648 | −0.544026 | ||||||||
\(501\) | −43.7925 | −1.95650 | ||||||||
\(502\) | 20.8765 | 0.931764 | ||||||||
\(503\) | −25.1300 | −1.12049 | −0.560245 | − | 0.828327i | \(-0.689293\pi\) | ||||
−0.560245 | + | 0.828327i | \(0.689293\pi\) | |||||||
\(504\) | −5.67731 | −0.252888 | ||||||||
\(505\) | −15.9189 | −0.708380 | ||||||||
\(506\) | 30.4164 | 1.35217 | ||||||||
\(507\) | 51.7775 | 2.29952 | ||||||||
\(508\) | 8.95218 | 0.397189 | ||||||||
\(509\) | 2.64582 | 0.117274 | 0.0586370 | − | 0.998279i | \(-0.481325\pi\) | ||||
0.0586370 | + | 0.998279i | \(0.481325\pi\) | |||||||
\(510\) | 17.1563 | 0.759692 | ||||||||
\(511\) | −24.8990 | −1.10147 | ||||||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 11.0505 | 0.487893 | ||||||||
\(514\) | 9.98085 | 0.440237 | ||||||||
\(515\) | −16.5200 | −0.727960 | ||||||||
\(516\) | 14.1861 | 0.624510 | ||||||||
\(517\) | −51.3074 | −2.25650 | ||||||||
\(518\) | 20.9007 | 0.918326 | ||||||||
\(519\) | −21.5170 | −0.944492 | ||||||||
\(520\) | −11.2060 | −0.491417 | ||||||||
\(521\) | 8.99781 | 0.394201 | 0.197101 | − | 0.980383i | \(-0.436847\pi\) | ||||
0.197101 | + | 0.980383i | \(0.436847\pi\) | |||||||
\(522\) | 4.06462 | 0.177904 | ||||||||
\(523\) | 3.03895 | 0.132884 | 0.0664420 | − | 0.997790i | \(-0.478835\pi\) | ||||
0.0664420 | + | 0.997790i | \(0.478835\pi\) | |||||||
\(524\) | 2.78253 | 0.121555 | ||||||||
\(525\) | 9.93677 | 0.433676 | ||||||||
\(526\) | −1.17374 | −0.0511776 | ||||||||
\(527\) | 4.14179 | 0.180419 | ||||||||
\(528\) | −11.4066 | −0.496407 | ||||||||
\(529\) | 12.2302 | 0.531748 | ||||||||
\(530\) | −22.6009 | −0.981719 | ||||||||
\(531\) | 5.39676 | 0.234200 | ||||||||
\(532\) | 13.7938 | 0.598039 | ||||||||
\(533\) | −27.8306 | −1.20548 | ||||||||
\(534\) | 27.6550 | 1.19675 | ||||||||
\(535\) | −29.4419 | −1.27289 | ||||||||
\(536\) | 10.0168 | 0.432660 | ||||||||
\(537\) | −12.7158 | −0.548726 | ||||||||
\(538\) | 23.5745 | 1.01637 | ||||||||
\(539\) | −7.36110 | −0.317065 | ||||||||
\(540\) | −4.33020 | −0.186342 | ||||||||
\(541\) | −34.4093 | −1.47937 | −0.739686 | − | 0.672953i | \(-0.765026\pi\) | ||||
−0.739686 | + | 0.672953i | \(0.765026\pi\) | |||||||
\(542\) | 17.3609 | 0.745713 | ||||||||
\(543\) | 29.8608 | 1.28145 | ||||||||
\(544\) | 4.14179 | 0.177578 | ||||||||
\(545\) | 15.9498 | 0.683214 | ||||||||
\(546\) | 38.9321 | 1.66614 | ||||||||
\(547\) | −33.5442 | −1.43425 | −0.717124 | − | 0.696946i | \(-0.754542\pi\) | ||||
−0.717124 | + | 0.696946i | \(0.754542\pi\) | |||||||
\(548\) | 16.2287 | 0.693255 | ||||||||
\(549\) | −23.4568 | −1.00111 | ||||||||
\(550\) | 7.87607 | 0.335837 | ||||||||
\(551\) | −9.87557 | −0.420713 | ||||||||
\(552\) | −13.2118 | −0.562333 | ||||||||
\(553\) | −6.65960 | −0.283195 | ||||||||
\(554\) | 26.5456 | 1.12782 | ||||||||
\(555\) | −29.8069 | −1.26523 | ||||||||
\(556\) | 20.8267 | 0.883249 | ||||||||
\(557\) | −1.24871 | −0.0529096 | −0.0264548 | − | 0.999650i | \(-0.508422\pi\) | ||||
−0.0264548 | + | 0.999650i | \(0.508422\pi\) | |||||||
\(558\) | 1.95462 | 0.0827457 | ||||||||
\(559\) | −38.3779 | −1.62321 | ||||||||
\(560\) | −5.40517 | −0.228410 | ||||||||
\(561\) | −47.2436 | −1.99463 | ||||||||
\(562\) | −22.9362 | −0.967507 | ||||||||
\(563\) | 25.2000 | 1.06205 | 0.531027 | − | 0.847355i | \(-0.321806\pi\) | ||||
0.531027 | + | 0.847355i | \(0.321806\pi\) | |||||||
\(564\) | 22.2862 | 0.938418 | ||||||||
\(565\) | −13.4293 | −0.564974 | ||||||||
\(566\) | −10.7949 | −0.453743 | ||||||||
\(567\) | 32.0760 | 1.34706 | ||||||||
\(568\) | −5.90655 | −0.247833 | ||||||||
\(569\) | −27.6058 | −1.15729 | −0.578647 | − | 0.815578i | \(-0.696419\pi\) | ||||
−0.578647 | + | 0.815578i | \(0.696419\pi\) | |||||||
\(570\) | −19.6716 | −0.823952 | ||||||||
\(571\) | 6.72831 | 0.281571 | 0.140785 | − | 0.990040i | \(-0.455037\pi\) | ||||
0.140785 | + | 0.990040i | \(0.455037\pi\) | |||||||
\(572\) | 30.8583 | 1.29025 | ||||||||
\(573\) | −18.9371 | −0.791108 | ||||||||
\(574\) | −13.4240 | −0.560305 | ||||||||
\(575\) | 9.12257 | 0.380438 | ||||||||
\(576\) | 1.95462 | 0.0814426 | ||||||||
\(577\) | −13.7163 | −0.571016 | −0.285508 | − | 0.958376i | \(-0.592162\pi\) | ||||
−0.285508 | + | 0.958376i | \(0.592162\pi\) | |||||||
\(578\) | 0.154408 | 0.00642251 | ||||||||
\(579\) | −28.2110 | −1.17241 | ||||||||
\(580\) | 3.86978 | 0.160684 | ||||||||
\(581\) | −9.29803 | −0.385747 | ||||||||
\(582\) | −2.22590 | −0.0922664 | ||||||||
\(583\) | 62.2366 | 2.57758 | ||||||||
\(584\) | 8.57239 | 0.354728 | ||||||||
\(585\) | −21.9035 | −0.905600 | ||||||||
\(586\) | 25.4982 | 1.05332 | ||||||||
\(587\) | −36.2542 | −1.49637 | −0.748186 | − | 0.663489i | \(-0.769075\pi\) | ||||
−0.748186 | + | 0.663489i | \(0.769075\pi\) | |||||||
\(588\) | 3.19741 | 0.131859 | ||||||||
\(589\) | −4.74903 | −0.195680 | ||||||||
\(590\) | 5.13807 | 0.211531 | ||||||||
\(591\) | 42.3713 | 1.74292 | ||||||||
\(592\) | −7.19584 | −0.295747 | ||||||||
\(593\) | 23.2040 | 0.952876 | 0.476438 | − | 0.879208i | \(-0.341928\pi\) | ||||
0.476438 | + | 0.879208i | \(0.341928\pi\) | |||||||
\(594\) | 11.9242 | 0.489255 | ||||||||
\(595\) | −22.3871 | −0.917781 | ||||||||
\(596\) | −8.72274 | −0.357297 | ||||||||
\(597\) | 20.0179 | 0.819277 | ||||||||
\(598\) | 35.7421 | 1.46160 | ||||||||
\(599\) | −24.4955 | −1.00086 | −0.500429 | − | 0.865777i | \(-0.666824\pi\) | ||||
−0.500429 | + | 0.865777i | \(0.666824\pi\) | |||||||
\(600\) | −3.42109 | −0.139666 | ||||||||
\(601\) | 47.4663 | 1.93619 | 0.968095 | − | 0.250584i | \(-0.0806227\pi\) | ||||
0.968095 | + | 0.250584i | \(0.0806227\pi\) | |||||||
\(602\) | −18.5114 | −0.754468 | ||||||||
\(603\) | 19.5791 | 0.797321 | ||||||||
\(604\) | −15.3256 | −0.623591 | ||||||||
\(605\) | 28.3983 | 1.15455 | ||||||||
\(606\) | −19.0409 | −0.773485 | ||||||||
\(607\) | −29.6031 | −1.20155 | −0.600775 | − | 0.799418i | \(-0.705141\pi\) | ||||
−0.600775 | + | 0.799418i | \(0.705141\pi\) | |||||||
\(608\) | −4.74903 | −0.192599 | ||||||||
\(609\) | −13.4444 | −0.544796 | ||||||||
\(610\) | −22.3324 | −0.904212 | ||||||||
\(611\) | −60.2911 | −2.43912 | ||||||||
\(612\) | 8.09563 | 0.327246 | ||||||||
\(613\) | −13.2539 | −0.535322 | −0.267661 | − | 0.963513i | \(-0.586251\pi\) | ||||
−0.267661 | + | 0.963513i | \(0.586251\pi\) | |||||||
\(614\) | −28.3402 | −1.14372 | ||||||||
\(615\) | 19.1441 | 0.771965 | ||||||||
\(616\) | 14.8843 | 0.599707 | ||||||||
\(617\) | 23.0324 | 0.927251 | 0.463625 | − | 0.886031i | \(-0.346548\pi\) | ||||
0.463625 | + | 0.886031i | \(0.346548\pi\) | |||||||
\(618\) | −19.7600 | −0.794863 | ||||||||
\(619\) | 40.8776 | 1.64301 | 0.821505 | − | 0.570201i | \(-0.193135\pi\) | ||||
0.821505 | + | 0.570201i | \(0.193135\pi\) | |||||||
\(620\) | 1.86093 | 0.0747366 | ||||||||
\(621\) | 13.8114 | 0.554231 | ||||||||
\(622\) | 2.90990 | 0.116676 | ||||||||
\(623\) | −36.0868 | −1.44579 | ||||||||
\(624\) | −13.4038 | −0.536581 | ||||||||
\(625\) | −14.9530 | −0.598121 | ||||||||
\(626\) | 26.4882 | 1.05868 | ||||||||
\(627\) | 54.1701 | 2.16335 | ||||||||
\(628\) | 9.80769 | 0.391370 | ||||||||
\(629\) | −29.8037 | −1.18835 | ||||||||
\(630\) | −10.5651 | −0.420922 | ||||||||
\(631\) | −12.8023 | −0.509652 | −0.254826 | − | 0.966987i | \(-0.582018\pi\) | ||||
−0.254826 | + | 0.966987i | \(0.582018\pi\) | |||||||
\(632\) | 2.29281 | 0.0912031 | ||||||||
\(633\) | −49.2600 | −1.95791 | ||||||||
\(634\) | −16.6807 | −0.662476 | ||||||||
\(635\) | 16.6594 | 0.661106 | ||||||||
\(636\) | −27.0334 | −1.07195 | ||||||||
\(637\) | −8.64998 | −0.342725 | ||||||||
\(638\) | −10.6563 | −0.421887 | ||||||||
\(639\) | −11.5451 | −0.456716 | ||||||||
\(640\) | 1.86093 | 0.0735596 | ||||||||
\(641\) | 24.7532 | 0.977694 | 0.488847 | − | 0.872369i | \(-0.337418\pi\) | ||||
0.488847 | + | 0.872369i | \(0.337418\pi\) | |||||||
\(642\) | −35.2162 | −1.38987 | ||||||||
\(643\) | 9.09483 | 0.358665 | 0.179332 | − | 0.983789i | \(-0.442606\pi\) | ||||
0.179332 | + | 0.983789i | \(0.442606\pi\) | |||||||
\(644\) | 17.2400 | 0.679352 | ||||||||
\(645\) | 26.3994 | 1.03947 | ||||||||
\(646\) | −19.6695 | −0.773885 | ||||||||
\(647\) | −37.5760 | −1.47726 | −0.738632 | − | 0.674109i | \(-0.764528\pi\) | ||||
−0.738632 | + | 0.674109i | \(0.764528\pi\) | |||||||
\(648\) | −11.0433 | −0.433823 | ||||||||
\(649\) | −14.1488 | −0.555390 | ||||||||
\(650\) | 9.25512 | 0.363016 | ||||||||
\(651\) | −6.46525 | −0.253393 | ||||||||
\(652\) | −5.37431 | −0.210474 | ||||||||
\(653\) | −20.2981 | −0.794328 | −0.397164 | − | 0.917748i | \(-0.630006\pi\) | ||||
−0.397164 | + | 0.917748i | \(0.630006\pi\) | |||||||
\(654\) | 19.0779 | 0.746005 | ||||||||
\(655\) | 5.17809 | 0.202325 | ||||||||
\(656\) | 4.62169 | 0.180447 | ||||||||
\(657\) | 16.7558 | 0.653705 | ||||||||
\(658\) | −29.0811 | −1.13370 | ||||||||
\(659\) | 13.6465 | 0.531593 | 0.265796 | − | 0.964029i | \(-0.414365\pi\) | ||||
0.265796 | + | 0.964029i | \(0.414365\pi\) | |||||||
\(660\) | −21.2268 | −0.826252 | ||||||||
\(661\) | −31.3995 | −1.22130 | −0.610650 | − | 0.791900i | \(-0.709092\pi\) | ||||
−0.610650 | + | 0.791900i | \(0.709092\pi\) | |||||||
\(662\) | −30.8112 | −1.19751 | ||||||||
\(663\) | −55.5157 | −2.15605 | ||||||||
\(664\) | 3.20119 | 0.124230 | ||||||||
\(665\) | 25.6693 | 0.995413 | ||||||||
\(666\) | −14.0652 | −0.545014 | ||||||||
\(667\) | −12.3428 | −0.477916 | ||||||||
\(668\) | −19.6741 | −0.761213 | ||||||||
\(669\) | −37.1384 | −1.43585 | ||||||||
\(670\) | 18.6405 | 0.720147 | ||||||||
\(671\) | 61.4972 | 2.37407 | ||||||||
\(672\) | −6.46525 | −0.249402 | ||||||||
\(673\) | 26.8564 | 1.03524 | 0.517620 | − | 0.855611i | \(-0.326818\pi\) | ||||
0.517620 | + | 0.855611i | \(0.326818\pi\) | |||||||
\(674\) | 27.9078 | 1.07497 | ||||||||
\(675\) | 3.57634 | 0.137653 | ||||||||
\(676\) | 23.2614 | 0.894670 | ||||||||
\(677\) | 22.0246 | 0.846475 | 0.423238 | − | 0.906019i | \(-0.360894\pi\) | ||||
0.423238 | + | 0.906019i | \(0.360894\pi\) | |||||||
\(678\) | −16.0631 | −0.616899 | ||||||||
\(679\) | 2.90456 | 0.111467 | ||||||||
\(680\) | 7.70757 | 0.295572 | ||||||||
\(681\) | −0.489744 | −0.0187670 | ||||||||
\(682\) | −5.12448 | −0.196226 | ||||||||
\(683\) | −1.60535 | −0.0614270 | −0.0307135 | − | 0.999528i | \(-0.509778\pi\) | ||||
−0.0307135 | + | 0.999528i | \(0.509778\pi\) | |||||||
\(684\) | −9.28256 | −0.354927 | ||||||||
\(685\) | 30.2004 | 1.15390 | ||||||||
\(686\) | 16.1596 | 0.616978 | ||||||||
\(687\) | −47.5350 | −1.81357 | ||||||||
\(688\) | 6.37322 | 0.242977 | ||||||||
\(689\) | 73.1338 | 2.78618 | ||||||||
\(690\) | −24.5862 | −0.935982 | ||||||||
\(691\) | −49.2775 | −1.87460 | −0.937302 | − | 0.348519i | \(-0.886685\pi\) | ||||
−0.937302 | + | 0.348519i | \(0.886685\pi\) | |||||||
\(692\) | −9.66667 | −0.367472 | ||||||||
\(693\) | 29.0933 | 1.10516 | ||||||||
\(694\) | −24.0042 | −0.911187 | ||||||||
\(695\) | 38.7570 | 1.47014 | ||||||||
\(696\) | 4.62874 | 0.175452 | ||||||||
\(697\) | 19.1420 | 0.725057 | ||||||||
\(698\) | 33.8405 | 1.28088 | ||||||||
\(699\) | −46.2714 | −1.75014 | ||||||||
\(700\) | 4.46416 | 0.168729 | ||||||||
\(701\) | 1.41448 | 0.0534243 | 0.0267122 | − | 0.999643i | \(-0.491496\pi\) | ||||
0.0267122 | + | 0.999643i | \(0.491496\pi\) | |||||||
\(702\) | 14.0120 | 0.528850 | ||||||||
\(703\) | 34.1733 | 1.28887 | ||||||||
\(704\) | −5.12448 | −0.193136 | ||||||||
\(705\) | 41.4730 | 1.56196 | ||||||||
\(706\) | 27.0985 | 1.01987 | ||||||||
\(707\) | 24.8464 | 0.934444 | ||||||||
\(708\) | 6.14577 | 0.230972 | ||||||||
\(709\) | −35.2843 | −1.32513 | −0.662565 | − | 0.749004i | \(-0.730532\pi\) | ||||
−0.662565 | + | 0.749004i | \(0.730532\pi\) | |||||||
\(710\) | −10.9917 | −0.412510 | ||||||||
\(711\) | 4.48158 | 0.168072 | ||||||||
\(712\) | 12.4242 | 0.465616 | ||||||||
\(713\) | −5.93550 | −0.222286 | ||||||||
\(714\) | −26.7777 | −1.00213 | ||||||||
\(715\) | 57.4250 | 2.14757 | ||||||||
\(716\) | −5.71265 | −0.213492 | ||||||||
\(717\) | −21.6801 | −0.809658 | ||||||||
\(718\) | 21.9690 | 0.819874 | ||||||||
\(719\) | 16.1506 | 0.602317 | 0.301159 | − | 0.953574i | \(-0.402627\pi\) | ||||
0.301159 | + | 0.953574i | \(0.402627\pi\) | |||||||
\(720\) | 3.63741 | 0.135558 | ||||||||
\(721\) | 25.7847 | 0.960271 | ||||||||
\(722\) | 3.55328 | 0.132239 | ||||||||
\(723\) | −15.2795 | −0.568252 | ||||||||
\(724\) | 13.4152 | 0.498571 | ||||||||
\(725\) | −3.19608 | −0.118699 | ||||||||
\(726\) | 33.9678 | 1.26066 | ||||||||
\(727\) | −12.0890 | −0.448355 | −0.224178 | − | 0.974548i | \(-0.571970\pi\) | ||||
−0.224178 | + | 0.974548i | \(0.571970\pi\) | |||||||
\(728\) | 17.4905 | 0.648241 | ||||||||
\(729\) | −6.04714 | −0.223968 | ||||||||
\(730\) | 15.9526 | 0.590432 | ||||||||
\(731\) | 26.3965 | 0.976311 | ||||||||
\(732\) | −26.7123 | −0.987314 | ||||||||
\(733\) | −26.2618 | −0.970002 | −0.485001 | − | 0.874514i | \(-0.661181\pi\) | ||||
−0.485001 | + | 0.874514i | \(0.661181\pi\) | |||||||
\(734\) | 14.5511 | 0.537092 | ||||||||
\(735\) | 5.95015 | 0.219474 | ||||||||
\(736\) | −5.93550 | −0.218786 | ||||||||
\(737\) | −51.3309 | −1.89080 | ||||||||
\(738\) | 9.03365 | 0.332533 | ||||||||
\(739\) | −45.7405 | −1.68259 | −0.841295 | − | 0.540576i | \(-0.818206\pi\) | ||||
−0.841295 | + | 0.540576i | \(0.818206\pi\) | |||||||
\(740\) | −13.3909 | −0.492261 | ||||||||
\(741\) | 63.6550 | 2.33842 | ||||||||
\(742\) | 35.2757 | 1.29501 | ||||||||
\(743\) | −27.6677 | −1.01503 | −0.507514 | − | 0.861643i | \(-0.669436\pi\) | ||||
−0.507514 | + | 0.861643i | \(0.669436\pi\) | |||||||
\(744\) | 2.22590 | 0.0816054 | ||||||||
\(745\) | −16.2324 | −0.594709 | ||||||||
\(746\) | 30.6032 | 1.12046 | ||||||||
\(747\) | 6.25711 | 0.228936 | ||||||||
\(748\) | −21.2245 | −0.776045 | ||||||||
\(749\) | 45.9533 | 1.67910 | ||||||||
\(750\) | −27.0776 | −0.988733 | ||||||||
\(751\) | 18.9725 | 0.692317 | 0.346159 | − | 0.938176i | \(-0.387486\pi\) | ||||
0.346159 | + | 0.938176i | \(0.387486\pi\) | |||||||
\(752\) | 10.0122 | 0.365108 | ||||||||
\(753\) | 46.4690 | 1.69342 | ||||||||
\(754\) | −12.5222 | −0.456031 | ||||||||
\(755\) | −28.5199 | −1.03795 | ||||||||
\(756\) | 6.75863 | 0.245809 | ||||||||
\(757\) | −11.2387 | −0.408479 | −0.204239 | − | 0.978921i | \(-0.565472\pi\) | ||||
−0.204239 | + | 0.978921i | \(0.565472\pi\) | |||||||
\(758\) | −35.0954 | −1.27472 | ||||||||
\(759\) | 67.7037 | 2.45749 | ||||||||
\(760\) | −8.83760 | −0.320573 | ||||||||
\(761\) | −28.5372 | −1.03447 | −0.517236 | − | 0.855843i | \(-0.673039\pi\) | ||||
−0.517236 | + | 0.855843i | \(0.673039\pi\) | |||||||
\(762\) | 19.9266 | 0.721866 | ||||||||
\(763\) | −24.8946 | −0.901246 | ||||||||
\(764\) | −8.50762 | −0.307795 | ||||||||
\(765\) | 15.0654 | 0.544690 | ||||||||
\(766\) | −32.8082 | −1.18541 | ||||||||
\(767\) | −16.6262 | −0.600337 | ||||||||
\(768\) | 2.22590 | 0.0803202 | ||||||||
\(769\) | 40.3108 | 1.45364 | 0.726822 | − | 0.686826i | \(-0.240996\pi\) | ||||
0.726822 | + | 0.686826i | \(0.240996\pi\) | |||||||
\(770\) | 27.6987 | 0.998191 | ||||||||
\(771\) | 22.2164 | 0.800103 | ||||||||
\(772\) | −12.6740 | −0.456147 | ||||||||
\(773\) | 19.9414 | 0.717241 | 0.358621 | − | 0.933483i | \(-0.383247\pi\) | ||||
0.358621 | + | 0.933483i | \(0.383247\pi\) | |||||||
\(774\) | 12.4572 | 0.447766 | ||||||||
\(775\) | −1.53695 | −0.0552089 | ||||||||
\(776\) | −1.00000 | −0.0358979 | ||||||||
\(777\) | 46.5229 | 1.66900 | ||||||||
\(778\) | −16.3780 | −0.587181 | ||||||||
\(779\) | −21.9485 | −0.786388 | ||||||||
\(780\) | −24.9435 | −0.893120 | ||||||||
\(781\) | 30.2680 | 1.08307 | ||||||||
\(782\) | −24.5836 | −0.879108 | ||||||||
\(783\) | −4.83878 | −0.172924 | ||||||||
\(784\) | 1.43646 | 0.0513021 | ||||||||
\(785\) | 18.2514 | 0.651420 | ||||||||
\(786\) | 6.19363 | 0.220919 | ||||||||
\(787\) | 24.0739 | 0.858141 | 0.429070 | − | 0.903271i | \(-0.358841\pi\) | ||||
0.429070 | + | 0.903271i | \(0.358841\pi\) | |||||||
\(788\) | 19.0356 | 0.678115 | ||||||||
\(789\) | −2.61263 | −0.0930122 | ||||||||
\(790\) | 4.26675 | 0.151804 | ||||||||
\(791\) | 20.9606 | 0.745273 | ||||||||
\(792\) | −10.0164 | −0.355918 | ||||||||
\(793\) | 72.2650 | 2.56620 | ||||||||
\(794\) | −3.52150 | −0.124973 | ||||||||
\(795\) | −50.3073 | −1.78421 | ||||||||
\(796\) | 8.99317 | 0.318754 | ||||||||
\(797\) | −49.5991 | −1.75689 | −0.878445 | − | 0.477843i | \(-0.841419\pi\) | ||||
−0.878445 | + | 0.477843i | \(0.841419\pi\) | |||||||
\(798\) | 30.7037 | 1.08690 | ||||||||
\(799\) | 41.4685 | 1.46705 | ||||||||
\(800\) | −1.53695 | −0.0543394 | ||||||||
\(801\) | 24.2846 | 0.858054 | ||||||||
\(802\) | 24.1396 | 0.852398 | ||||||||
\(803\) | −43.9290 | −1.55022 | ||||||||
\(804\) | 22.2964 | 0.786333 | ||||||||
\(805\) | 32.0824 | 1.13076 | ||||||||
\(806\) | −6.02174 | −0.212107 | ||||||||
\(807\) | 52.4745 | 1.84719 | ||||||||
\(808\) | −8.55427 | −0.300938 | ||||||||
\(809\) | −10.8271 | −0.380662 | −0.190331 | − | 0.981720i | \(-0.560956\pi\) | ||||
−0.190331 | + | 0.981720i | \(0.560956\pi\) | |||||||
\(810\) | −20.5508 | −0.722082 | ||||||||
\(811\) | 3.88132 | 0.136292 | 0.0681458 | − | 0.997675i | \(-0.478292\pi\) | ||||
0.0681458 | + | 0.997675i | \(0.478292\pi\) | |||||||
\(812\) | −6.04001 | −0.211963 | ||||||||
\(813\) | 38.6435 | 1.35529 | ||||||||
\(814\) | 36.8749 | 1.29247 | ||||||||
\(815\) | −10.0012 | −0.350327 | ||||||||
\(816\) | 9.21920 | 0.322736 | ||||||||
\(817\) | −30.2666 | −1.05889 | ||||||||
\(818\) | −7.46759 | −0.261098 | ||||||||
\(819\) | 34.1873 | 1.19460 | ||||||||
\(820\) | 8.60062 | 0.300347 | ||||||||
\(821\) | 9.25937 | 0.323154 | 0.161577 | − | 0.986860i | \(-0.448342\pi\) | ||||
0.161577 | + | 0.986860i | \(0.448342\pi\) | |||||||
\(822\) | 36.1234 | 1.25995 | ||||||||
\(823\) | −47.6119 | −1.65965 | −0.829823 | − | 0.558027i | \(-0.811559\pi\) | ||||
−0.829823 | + | 0.558027i | \(0.811559\pi\) | |||||||
\(824\) | −8.87731 | −0.309256 | ||||||||
\(825\) | 17.5313 | 0.610362 | ||||||||
\(826\) | −8.01957 | −0.279036 | ||||||||
\(827\) | −1.27464 | −0.0443237 | −0.0221618 | − | 0.999754i | \(-0.507055\pi\) | ||||
−0.0221618 | + | 0.999754i | \(0.507055\pi\) | |||||||
\(828\) | −11.6017 | −0.403186 | ||||||||
\(829\) | 44.9630 | 1.56163 | 0.780815 | − | 0.624762i | \(-0.214804\pi\) | ||||
0.780815 | + | 0.624762i | \(0.214804\pi\) | |||||||
\(830\) | 5.95717 | 0.206777 | ||||||||
\(831\) | 59.0879 | 2.04973 | ||||||||
\(832\) | −6.02174 | −0.208766 | ||||||||
\(833\) | 5.94951 | 0.206138 | ||||||||
\(834\) | 46.3581 | 1.60525 | ||||||||
\(835\) | −36.6120 | −1.26701 | ||||||||
\(836\) | 24.3363 | 0.841689 | ||||||||
\(837\) | −2.32691 | −0.0804296 | ||||||||
\(838\) | −6.60184 | −0.228057 | ||||||||
\(839\) | −15.1908 | −0.524445 | −0.262222 | − | 0.965007i | \(-0.584455\pi\) | ||||
−0.262222 | + | 0.965007i | \(0.584455\pi\) | |||||||
\(840\) | −12.0314 | −0.415121 | ||||||||
\(841\) | −24.6757 | −0.850887 | ||||||||
\(842\) | −2.85657 | −0.0984440 | ||||||||
\(843\) | −51.0537 | −1.75838 | ||||||||
\(844\) | −22.1304 | −0.761760 | ||||||||
\(845\) | 43.2878 | 1.48915 | ||||||||
\(846\) | 19.5701 | 0.672834 | ||||||||
\(847\) | −44.3244 | −1.52300 | ||||||||
\(848\) | −12.1450 | −0.417060 | ||||||||
\(849\) | −24.0283 | −0.824649 | ||||||||
\(850\) | −6.36572 | −0.218342 | ||||||||
\(851\) | 42.7110 | 1.46411 | ||||||||
\(852\) | −13.1474 | −0.450422 | ||||||||
\(853\) | 23.5345 | 0.805805 | 0.402903 | − | 0.915243i | \(-0.368001\pi\) | ||||
0.402903 | + | 0.915243i | \(0.368001\pi\) | |||||||
\(854\) | 34.8567 | 1.19277 | ||||||||
\(855\) | −17.2742 | −0.590764 | ||||||||
\(856\) | −15.8211 | −0.540754 | ||||||||
\(857\) | 12.8332 | 0.438374 | 0.219187 | − | 0.975683i | \(-0.429660\pi\) | ||||
0.219187 | + | 0.975683i | \(0.429660\pi\) | |||||||
\(858\) | 68.6874 | 2.34495 | ||||||||
\(859\) | −30.1974 | −1.03032 | −0.515161 | − | 0.857094i | \(-0.672268\pi\) | ||||
−0.515161 | + | 0.857094i | \(0.672268\pi\) | |||||||
\(860\) | 11.8601 | 0.404426 | ||||||||
\(861\) | −29.8804 | −1.01832 | ||||||||
\(862\) | 20.1215 | 0.685339 | ||||||||
\(863\) | 7.29981 | 0.248488 | 0.124244 | − | 0.992252i | \(-0.460349\pi\) | ||||
0.124244 | + | 0.992252i | \(0.460349\pi\) | |||||||
\(864\) | −2.32691 | −0.0791629 | ||||||||
\(865\) | −17.9890 | −0.611643 | ||||||||
\(866\) | 0.802879 | 0.0272829 | ||||||||
\(867\) | 0.343696 | 0.0116725 | ||||||||
\(868\) | −2.90456 | −0.0985871 | ||||||||
\(869\) | −11.7495 | −0.398573 | ||||||||
\(870\) | 8.61374 | 0.292033 | ||||||||
\(871\) | −60.3186 | −2.04382 | ||||||||
\(872\) | 8.57088 | 0.290247 | ||||||||
\(873\) | −1.95462 | −0.0661539 | ||||||||
\(874\) | 28.1879 | 0.953469 | ||||||||
\(875\) | 35.3333 | 1.19448 | ||||||||
\(876\) | 19.0813 | 0.644696 | ||||||||
\(877\) | 20.9776 | 0.708364 | 0.354182 | − | 0.935177i | \(-0.384759\pi\) | ||||
0.354182 | + | 0.935177i | \(0.384759\pi\) | |||||||
\(878\) | 1.79535 | 0.0605901 | ||||||||
\(879\) | 56.7564 | 1.91435 | ||||||||
\(880\) | −9.53628 | −0.321468 | ||||||||
\(881\) | −41.9668 | −1.41390 | −0.706949 | − | 0.707264i | \(-0.749929\pi\) | ||||
−0.706949 | + | 0.707264i | \(0.749929\pi\) | |||||||
\(882\) | 2.80773 | 0.0945413 | ||||||||
\(883\) | −6.63476 | −0.223278 | −0.111639 | − | 0.993749i | \(-0.535610\pi\) | ||||
−0.111639 | + | 0.993749i | \(0.535610\pi\) | |||||||
\(884\) | −24.9408 | −0.838850 | ||||||||
\(885\) | 11.4368 | 0.384445 | ||||||||
\(886\) | −38.9530 | −1.30865 | ||||||||
\(887\) | −49.0448 | −1.64676 | −0.823381 | − | 0.567489i | \(-0.807915\pi\) | ||||
−0.823381 | + | 0.567489i | \(0.807915\pi\) | |||||||
\(888\) | −16.0172 | −0.537502 | ||||||||
\(889\) | −26.0021 | −0.872083 | ||||||||
\(890\) | 23.1205 | 0.775001 | ||||||||
\(891\) | 56.5912 | 1.89588 | ||||||||
\(892\) | −16.6847 | −0.558644 | ||||||||
\(893\) | −47.5484 | −1.59115 | ||||||||
\(894\) | −19.4159 | −0.649366 | ||||||||
\(895\) | −10.6308 | −0.355349 | ||||||||
\(896\) | −2.90456 | −0.0970345 | ||||||||
\(897\) | 79.5582 | 2.65637 | ||||||||
\(898\) | −18.4435 | −0.615469 | ||||||||
\(899\) | 2.07949 | 0.0693550 | ||||||||
\(900\) | −3.00416 | −0.100139 | ||||||||
\(901\) | −50.3018 | −1.67580 | ||||||||
\(902\) | −23.6837 | −0.788582 | ||||||||
\(903\) | −41.2045 | −1.37120 | ||||||||
\(904\) | −7.21645 | −0.240016 | ||||||||
\(905\) | 24.9647 | 0.829854 | ||||||||
\(906\) | −34.1133 | −1.13334 | ||||||||
\(907\) | 53.7675 | 1.78532 | 0.892661 | − | 0.450729i | \(-0.148836\pi\) | ||||
0.892661 | + | 0.450729i | \(0.148836\pi\) | |||||||
\(908\) | −0.220021 | −0.00730165 | ||||||||
\(909\) | −16.7204 | −0.554579 | ||||||||
\(910\) | 32.5486 | 1.07897 | ||||||||
\(911\) | 40.1498 | 1.33022 | 0.665112 | − | 0.746744i | \(-0.268384\pi\) | ||||
0.665112 | + | 0.746744i | \(0.268384\pi\) | |||||||
\(912\) | −10.5709 | −0.350036 | ||||||||
\(913\) | −16.4044 | −0.542907 | ||||||||
\(914\) | 27.3308 | 0.904022 | ||||||||
\(915\) | −49.7096 | −1.64335 | ||||||||
\(916\) | −21.3554 | −0.705603 | ||||||||
\(917\) | −8.08202 | −0.266892 | ||||||||
\(918\) | −9.63755 | −0.318087 | ||||||||
\(919\) | 24.3967 | 0.804772 | 0.402386 | − | 0.915470i | \(-0.368181\pi\) | ||||
0.402386 | + | 0.915470i | \(0.368181\pi\) | |||||||
\(920\) | −11.0455 | −0.364161 | ||||||||
\(921\) | −63.0824 | −2.07863 | ||||||||
\(922\) | −18.5691 | −0.611542 | ||||||||
\(923\) | 35.5677 | 1.17073 | ||||||||
\(924\) | 33.1310 | 1.08993 | ||||||||
\(925\) | 11.0597 | 0.363639 | ||||||||
\(926\) | 11.0375 | 0.362715 | ||||||||
\(927\) | −17.3518 | −0.569907 | ||||||||
\(928\) | 2.07949 | 0.0682627 | ||||||||
\(929\) | −24.3967 | −0.800431 | −0.400216 | − | 0.916421i | \(-0.631065\pi\) | ||||
−0.400216 | + | 0.916421i | \(0.631065\pi\) | |||||||
\(930\) | 4.14223 | 0.135829 | ||||||||
\(931\) | −6.82178 | −0.223575 | ||||||||
\(932\) | −20.7877 | −0.680925 | ||||||||
\(933\) | 6.47714 | 0.212052 | ||||||||
\(934\) | −38.3447 | −1.25468 | ||||||||
\(935\) | −39.4973 | −1.29170 | ||||||||
\(936\) | −11.7702 | −0.384722 | ||||||||
\(937\) | −24.2097 | −0.790896 | −0.395448 | − | 0.918488i | \(-0.629411\pi\) | ||||
−0.395448 | + | 0.918488i | \(0.629411\pi\) | |||||||
\(938\) | −29.0944 | −0.949965 | ||||||||
\(939\) | 58.9600 | 1.92409 | ||||||||
\(940\) | 18.6320 | 0.607710 | ||||||||
\(941\) | −41.7715 | −1.36171 | −0.680856 | − | 0.732418i | \(-0.738392\pi\) | ||||
−0.680856 | + | 0.732418i | \(0.738392\pi\) | |||||||
\(942\) | 21.8309 | 0.711290 | ||||||||
\(943\) | −27.4320 | −0.893310 | ||||||||
\(944\) | 2.76103 | 0.0898638 | ||||||||
\(945\) | 12.5773 | 0.409140 | ||||||||
\(946\) | −32.6594 | −1.06185 | ||||||||
\(947\) | 4.29317 | 0.139509 | 0.0697547 | − | 0.997564i | \(-0.477778\pi\) | ||||
0.0697547 | + | 0.997564i | \(0.477778\pi\) | |||||||
\(948\) | 5.10356 | 0.165756 | ||||||||
\(949\) | −51.6207 | −1.67568 | ||||||||
\(950\) | 7.29902 | 0.236812 | ||||||||
\(951\) | −37.1296 | −1.20401 | ||||||||
\(952\) | −12.0301 | −0.389897 | ||||||||
\(953\) | 25.8948 | 0.838816 | 0.419408 | − | 0.907798i | \(-0.362238\pi\) | ||||
0.419408 | + | 0.907798i | \(0.362238\pi\) | |||||||
\(954\) | −23.7388 | −0.768572 | ||||||||
\(955\) | −15.8321 | −0.512313 | ||||||||
\(956\) | −9.73993 | −0.315012 | ||||||||
\(957\) | −23.7199 | −0.766754 | ||||||||
\(958\) | −6.87617 | −0.222159 | ||||||||
\(959\) | −47.1372 | −1.52214 | ||||||||
\(960\) | 4.14223 | 0.133690 | ||||||||
\(961\) | 1.00000 | 0.0322581 | ||||||||
\(962\) | 43.3315 | 1.39706 | ||||||||
\(963\) | −30.9243 | −0.996521 | ||||||||
\(964\) | −6.86444 | −0.221089 | ||||||||
\(965\) | −23.5854 | −0.759241 | ||||||||
\(966\) | 38.3745 | 1.23468 | ||||||||
\(967\) | −27.6241 | −0.888332 | −0.444166 | − | 0.895945i | \(-0.646500\pi\) | ||||
−0.444166 | + | 0.895945i | \(0.646500\pi\) | |||||||
\(968\) | 15.2603 | 0.490484 | ||||||||
\(969\) | −43.7822 | −1.40649 | ||||||||
\(970\) | −1.86093 | −0.0597508 | ||||||||
\(971\) | 38.5280 | 1.23642 | 0.618212 | − | 0.786012i | \(-0.287858\pi\) | ||||
0.618212 | + | 0.786012i | \(0.287858\pi\) | |||||||
\(972\) | −17.6006 | −0.564539 | ||||||||
\(973\) | −60.4923 | −1.93930 | ||||||||
\(974\) | 2.83930 | 0.0909772 | ||||||||
\(975\) | 20.6010 | 0.659759 | ||||||||
\(976\) | −12.0007 | −0.384132 | ||||||||
\(977\) | 9.86730 | 0.315683 | 0.157841 | − | 0.987464i | \(-0.449547\pi\) | ||||
0.157841 | + | 0.987464i | \(0.449547\pi\) | |||||||
\(978\) | −11.9627 | −0.382524 | ||||||||
\(979\) | −63.6675 | −2.03482 | ||||||||
\(980\) | 2.67314 | 0.0853905 | ||||||||
\(981\) | 16.7528 | 0.534877 | ||||||||
\(982\) | 24.7191 | 0.788819 | ||||||||
\(983\) | 57.9841 | 1.84941 | 0.924703 | − | 0.380689i | \(-0.124313\pi\) | ||||
0.924703 | + | 0.380689i | \(0.124313\pi\) | |||||||
\(984\) | 10.2874 | 0.327950 | ||||||||
\(985\) | 35.4238 | 1.12870 | ||||||||
\(986\) | 8.61282 | 0.274288 | ||||||||
\(987\) | −64.7315 | −2.06043 | ||||||||
\(988\) | 28.5974 | 0.909806 | ||||||||
\(989\) | −37.8283 | −1.20287 | ||||||||
\(990\) | −18.6398 | −0.592412 | ||||||||
\(991\) | −8.64927 | −0.274753 | −0.137377 | − | 0.990519i | \(-0.543867\pi\) | ||||
−0.137377 | + | 0.990519i | \(0.543867\pi\) | |||||||
\(992\) | 1.00000 | 0.0317500 | ||||||||
\(993\) | −68.5826 | −2.17640 | ||||||||
\(994\) | 17.1559 | 0.544153 | ||||||||
\(995\) | 16.7356 | 0.530555 | ||||||||
\(996\) | 7.12551 | 0.225781 | ||||||||
\(997\) | −8.74945 | −0.277098 | −0.138549 | − | 0.990356i | \(-0.544244\pi\) | ||||
−0.138549 | + | 0.990356i | \(0.544244\pi\) | |||||||
\(998\) | −33.9999 | −1.07625 | ||||||||
\(999\) | 16.7441 | 0.529758 |
(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 | 6014.2.a.e.1.20 | ✓ | 21 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
6014.2.a.e.1.20 | ✓ | 21 | 1.1 | even | 1 | trivial |