Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(369,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.369");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.c (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{10} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} + 19x^{8} + 103x^{6} + 210x^{4} + 140x^{2} + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 369.4 | ||
Root | \(-0.987983i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 370.369 |
Dual form | 370.2.c.a.369.7 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00000 | −0.707107 | ||||||||
\(3\) | − | 0.987983i | − | 0.570412i | −0.958466 | − | 0.285206i | \(-0.907938\pi\) | ||
0.958466 | − | 0.285206i | \(-0.0920621\pi\) | |||||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | −1.85396 | − | 1.25013i | −0.829118 | − | 0.559074i | ||||
\(6\) | 0.987983i | 0.403342i | ||||||||
\(7\) | 4.78937i | 1.81021i | 0.425186 | + | 0.905106i | \(0.360209\pi\) | ||||
−0.425186 | + | 0.905106i | \(0.639791\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 2.02389 | 0.674630 | ||||||||
\(10\) | 1.85396 | + | 1.25013i | 0.586275 | + | 0.395325i | ||||
\(11\) | −5.98732 | −1.80525 | −0.902623 | − | 0.430432i | \(-0.858361\pi\) | ||||
−0.902623 | + | 0.430432i | \(0.858361\pi\) | |||||||
\(12\) | − | 0.987983i | − | 0.285206i | ||||||
\(13\) | −3.49410 | −0.969088 | −0.484544 | − | 0.874767i | \(-0.661015\pi\) | ||||
−0.484544 | + | 0.874767i | \(0.661015\pi\) | |||||||
\(14\) | − | 4.78937i | − | 1.28001i | ||||||
\(15\) | −1.23510 | + | 1.83168i | −0.318903 | + | 0.472939i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 4.96343 | 1.20381 | 0.601905 | − | 0.798568i | \(-0.294409\pi\) | ||||
0.601905 | + | 0.798568i | \(0.294409\pi\) | |||||||
\(18\) | −2.02389 | −0.477035 | ||||||||
\(19\) | 7.33092i | 1.68183i | 0.541168 | + | 0.840915i | \(0.317982\pi\) | ||||
−0.541168 | + | 0.840915i | \(0.682018\pi\) | |||||||
\(20\) | −1.85396 | − | 1.25013i | −0.414559 | − | 0.279537i | ||||
\(21\) | 4.73182 | 1.03257 | ||||||||
\(22\) | 5.98732 | 1.27650 | ||||||||
\(23\) | −1.74873 | −0.364635 | −0.182318 | − | 0.983240i | \(-0.558360\pi\) | ||||
−0.182318 | + | 0.983240i | \(0.558360\pi\) | |||||||
\(24\) | 0.987983i | 0.201671i | ||||||||
\(25\) | 1.87436 | + | 4.63538i | 0.374873 | + | 0.927076i | ||||
\(26\) | 3.49410 | 0.685249 | ||||||||
\(27\) | − | 4.96352i | − | 0.955229i | ||||||
\(28\) | 4.78937i | 0.905106i | ||||||||
\(29\) | 7.85004i | 1.45772i | 0.684665 | + | 0.728858i | \(0.259949\pi\) | ||||
−0.684665 | + | 0.728858i | \(0.740051\pi\) | |||||||
\(30\) | 1.23510 | − | 1.83168i | 0.225498 | − | 0.334418i | ||||
\(31\) | 3.24097i | 0.582096i | 0.956708 | + | 0.291048i | \(0.0940039\pi\) | ||||
−0.956708 | + | 0.291048i | \(0.905996\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 5.91537i | 1.02973i | ||||||||
\(34\) | −4.96343 | −0.851222 | ||||||||
\(35\) | 5.98732 | − | 8.87932i | 1.01204 | − | 1.50088i | ||||
\(36\) | 2.02389 | 0.337315 | ||||||||
\(37\) | −3.96343 | − | 4.61424i | −0.651584 | − | 0.758576i | ||||
\(38\) | − | 7.33092i | − | 1.18923i | ||||||
\(39\) | 3.45211i | 0.552780i | ||||||||
\(40\) | 1.85396 | + | 1.25013i | 0.293137 | + | 0.197662i | ||||
\(41\) | −0.530665 | −0.0828760 | −0.0414380 | − | 0.999141i | \(-0.513194\pi\) | ||||
−0.0414380 | + | 0.999141i | \(0.513194\pi\) | |||||||
\(42\) | −4.73182 | −0.730135 | ||||||||
\(43\) | 1.76838 | 0.269676 | 0.134838 | − | 0.990868i | \(-0.456949\pi\) | ||||
0.134838 | + | 0.990868i | \(0.456949\pi\) | |||||||
\(44\) | −5.98732 | −0.902623 | ||||||||
\(45\) | −3.75222 | − | 2.53012i | −0.559348 | − | 0.377168i | ||||
\(46\) | 1.74873 | 0.257836 | ||||||||
\(47\) | 4.30638i | 0.628150i | 0.949398 | + | 0.314075i | \(0.101694\pi\) | ||||
−0.949398 | + | 0.314075i | \(0.898306\pi\) | |||||||
\(48\) | − | 0.987983i | − | 0.142603i | ||||||
\(49\) | −15.9381 | −2.27687 | ||||||||
\(50\) | −1.87436 | − | 4.63538i | −0.265075 | − | 0.655542i | ||||
\(51\) | − | 4.90379i | − | 0.686668i | ||||||
\(52\) | −3.49410 | −0.484544 | ||||||||
\(53\) | 3.66238i | 0.503067i | 0.967849 | + | 0.251534i | \(0.0809349\pi\) | ||||
−0.967849 | + | 0.251534i | \(0.919065\pi\) | |||||||
\(54\) | 4.96352i | 0.675449i | ||||||||
\(55\) | 11.1003 | + | 7.48491i | 1.49676 | + | 1.00927i | ||||
\(56\) | − | 4.78937i | − | 0.640007i | ||||||
\(57\) | 7.24283 | 0.959336 | ||||||||
\(58\) | − | 7.85004i | − | 1.03076i | ||||||
\(59\) | − | 2.15110i | − | 0.280049i | −0.990148 | − | 0.140025i | \(-0.955282\pi\) | ||
0.990148 | − | 0.140025i | \(-0.0447182\pi\) | |||||||
\(60\) | −1.23510 | + | 1.83168i | −0.159451 | + | 0.236470i | ||||
\(61\) | − | 3.06584i | − | 0.392541i | −0.980550 | − | 0.196270i | \(-0.937117\pi\) | ||
0.980550 | − | 0.196270i | \(-0.0628830\pi\) | |||||||
\(62\) | − | 3.24097i | − | 0.411604i | ||||||
\(63\) | 9.69316i | 1.22122i | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 6.47793 | + | 4.36807i | 0.803489 | + | 0.541792i | ||||
\(66\) | − | 5.91537i | − | 0.728132i | ||||||
\(67\) | 3.79622i | 0.463782i | 0.972742 | + | 0.231891i | \(0.0744912\pi\) | ||||
−0.972742 | + | 0.231891i | \(0.925509\pi\) | |||||||
\(68\) | 4.96343 | 0.601905 | ||||||||
\(69\) | 1.72772i | 0.207992i | ||||||||
\(70\) | −5.98732 | + | 8.87932i | −0.715622 | + | 1.06128i | ||||
\(71\) | −8.47719 | −1.00606 | −0.503028 | − | 0.864270i | \(-0.667781\pi\) | ||||
−0.503028 | + | 0.864270i | \(0.667781\pi\) | |||||||
\(72\) | −2.02389 | −0.238518 | ||||||||
\(73\) | − | 9.05445i | − | 1.05974i | −0.848078 | − | 0.529872i | \(-0.822240\pi\) | ||
0.848078 | − | 0.529872i | \(-0.177760\pi\) | |||||||
\(74\) | 3.96343 | + | 4.61424i | 0.460740 | + | 0.536394i | ||||
\(75\) | 4.57968 | − | 1.85184i | 0.528816 | − | 0.213832i | ||||
\(76\) | 7.33092i | 0.840915i | ||||||||
\(77\) | − | 28.6755i | − | 3.26788i | ||||||
\(78\) | − | 3.45211i | − | 0.390874i | ||||||
\(79\) | − | 5.56622i | − | 0.626248i | −0.949712 | − | 0.313124i | \(-0.898624\pi\) | ||
0.949712 | − | 0.313124i | \(-0.101376\pi\) | |||||||
\(80\) | −1.85396 | − | 1.25013i | −0.207279 | − | 0.139768i | ||||
\(81\) | 1.16780 | 0.129755 | ||||||||
\(82\) | 0.530665 | 0.0586022 | ||||||||
\(83\) | 3.77680i | 0.414558i | 0.978282 | + | 0.207279i | \(0.0664607\pi\) | ||||
−0.978282 | + | 0.207279i | \(0.933539\pi\) | |||||||
\(84\) | 4.73182 | 0.516284 | ||||||||
\(85\) | −9.20203 | − | 6.20492i | −0.998100 | − | 0.673018i | ||||
\(86\) | −1.76838 | −0.190690 | ||||||||
\(87\) | 7.75571 | 0.831499 | ||||||||
\(88\) | 5.98732 | 0.638251 | ||||||||
\(89\) | − | 8.45791i | − | 0.896537i | −0.893899 | − | 0.448268i | \(-0.852041\pi\) | ||
0.893899 | − | 0.448268i | \(-0.147959\pi\) | |||||||
\(90\) | 3.75222 | + | 2.53012i | 0.395519 | + | 0.266698i | ||||
\(91\) | − | 16.7345i | − | 1.75426i | ||||||
\(92\) | −1.74873 | −0.182318 | ||||||||
\(93\) | 3.20203 | 0.332035 | ||||||||
\(94\) | − | 4.30638i | − | 0.444169i | ||||||
\(95\) | 9.16459 | − | 13.5913i | 0.940267 | − | 1.39443i | ||||
\(96\) | 0.987983i | 0.100836i | ||||||||
\(97\) | 3.64747 | 0.370345 | 0.185172 | − | 0.982706i | \(-0.440716\pi\) | ||||
0.185172 | + | 0.982706i | \(0.440716\pi\) | |||||||
\(98\) | 15.9381 | 1.60999 | ||||||||
\(99\) | −12.1177 | −1.21787 | ||||||||
\(100\) | 1.87436 | + | 4.63538i | 0.187436 | + | 0.463538i | ||||
\(101\) | 2.30416 | 0.229272 | 0.114636 | − | 0.993408i | \(-0.463430\pi\) | ||||
0.114636 | + | 0.993408i | \(0.463430\pi\) | |||||||
\(102\) | 4.90379i | 0.485547i | ||||||||
\(103\) | −11.1716 | −1.10077 | −0.550383 | − | 0.834912i | \(-0.685518\pi\) | ||||
−0.550383 | + | 0.834912i | \(0.685518\pi\) | |||||||
\(104\) | 3.49410 | 0.342625 | ||||||||
\(105\) | −8.77262 | − | 5.91537i | −0.856120 | − | 0.577281i | ||||
\(106\) | − | 3.66238i | − | 0.355722i | ||||||
\(107\) | − | 6.51807i | − | 0.630126i | −0.949071 | − | 0.315063i | \(-0.897974\pi\) | ||
0.949071 | − | 0.315063i | \(-0.102026\pi\) | |||||||
\(108\) | − | 4.96352i | − | 0.477615i | ||||||
\(109\) | − | 1.33812i | − | 0.128169i | −0.997944 | − | 0.0640846i | \(-0.979587\pi\) | ||
0.997944 | − | 0.0640846i | \(-0.0204127\pi\) | |||||||
\(110\) | −11.1003 | − | 7.48491i | −1.05837 | − | 0.713659i | ||||
\(111\) | −4.55879 | + | 3.91580i | −0.432701 | + | 0.371672i | ||||
\(112\) | 4.78937i | 0.452553i | ||||||||
\(113\) | −1.39109 | −0.130863 | −0.0654315 | − | 0.997857i | \(-0.520842\pi\) | ||||
−0.0654315 | + | 0.997857i | \(0.520842\pi\) | |||||||
\(114\) | −7.24283 | −0.678353 | ||||||||
\(115\) | 3.24208 | + | 2.18613i | 0.302326 | + | 0.203858i | ||||
\(116\) | 7.85004i | 0.728858i | ||||||||
\(117\) | −7.07167 | −0.653776 | ||||||||
\(118\) | 2.15110i | 0.198025i | ||||||||
\(119\) | 23.7717i | 2.17915i | ||||||||
\(120\) | 1.23510 | − | 1.83168i | 0.112749 | − | 0.167209i | ||||
\(121\) | 24.8480 | 2.25891 | ||||||||
\(122\) | 3.06584i | 0.277568i | ||||||||
\(123\) | 0.524288i | 0.0472735i | ||||||||
\(124\) | 3.24097i | 0.291048i | ||||||||
\(125\) | 2.31981 | − | 10.9370i | 0.207490 | − | 0.978237i | ||||
\(126\) | − | 9.69316i | − | 0.863535i | ||||||
\(127\) | 7.51024i | 0.666426i | 0.942852 | + | 0.333213i | \(0.108133\pi\) | ||||
−0.942852 | + | 0.333213i | \(0.891867\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | − | 1.74713i | − | 0.153827i | ||||||
\(130\) | −6.47793 | − | 4.36807i | −0.568152 | − | 0.383105i | ||||
\(131\) | 6.19975i | 0.541675i | 0.962625 | + | 0.270837i | \(0.0873006\pi\) | ||||
−0.962625 | + | 0.270837i | \(0.912699\pi\) | |||||||
\(132\) | 5.91537i | 0.514867i | ||||||||
\(133\) | −35.1105 | −3.04447 | ||||||||
\(134\) | − | 3.79622i | − | 0.327943i | ||||||
\(135\) | −6.20503 | + | 9.20218i | −0.534044 | + | 0.791998i | ||||
\(136\) | −4.96343 | −0.425611 | ||||||||
\(137\) | 8.97186i | 0.766518i | 0.923641 | + | 0.383259i | \(0.125198\pi\) | ||||
−0.923641 | + | 0.383259i | \(0.874802\pi\) | |||||||
\(138\) | − | 1.72772i | − | 0.147073i | ||||||
\(139\) | 5.04168 | 0.427629 | 0.213815 | − | 0.976874i | \(-0.431411\pi\) | ||||
0.213815 | + | 0.976874i | \(0.431411\pi\) | |||||||
\(140\) | 5.98732 | − | 8.87932i | 0.506021 | − | 0.750440i | ||||
\(141\) | 4.25463 | 0.358305 | ||||||||
\(142\) | 8.47719 | 0.711390 | ||||||||
\(143\) | 20.9203 | 1.74944 | ||||||||
\(144\) | 2.02389 | 0.168657 | ||||||||
\(145\) | 9.81355 | − | 14.5537i | 0.814971 | − | 1.20862i | ||||
\(146\) | 9.05445i | 0.749352i | ||||||||
\(147\) | 15.7466i | 1.29875i | ||||||||
\(148\) | −3.96343 | − | 4.61424i | −0.325792 | − | 0.379288i | ||||
\(149\) | −21.6451 | −1.77324 | −0.886619 | − | 0.462500i | \(-0.846952\pi\) | ||||
−0.886619 | + | 0.462500i | \(0.846952\pi\) | |||||||
\(150\) | −4.57968 | + | 1.85184i | −0.373929 | + | 0.151202i | ||||
\(151\) | 6.47544 | 0.526964 | 0.263482 | − | 0.964664i | \(-0.415129\pi\) | ||||
0.263482 | + | 0.964664i | \(0.415129\pi\) | |||||||
\(152\) | − | 7.33092i | − | 0.594616i | ||||||
\(153\) | 10.0454 | 0.812126 | ||||||||
\(154\) | 28.6755i | 2.31074i | ||||||||
\(155\) | 4.05163 | − | 6.00865i | 0.325435 | − | 0.482626i | ||||
\(156\) | 3.45211i | 0.276390i | ||||||||
\(157\) | 13.1689i | 1.05099i | 0.850797 | + | 0.525495i | \(0.176120\pi\) | ||||
−0.850797 | + | 0.525495i | \(0.823880\pi\) | |||||||
\(158\) | 5.56622i | 0.442825i | ||||||||
\(159\) | 3.61837 | 0.286956 | ||||||||
\(160\) | 1.85396 | + | 1.25013i | 0.146569 | + | 0.0988312i | ||||
\(161\) | − | 8.37532i | − | 0.660067i | ||||||
\(162\) | −1.16780 | −0.0917509 | ||||||||
\(163\) | 18.7651 | 1.46979 | 0.734896 | − | 0.678180i | \(-0.237231\pi\) | ||||
0.734896 | + | 0.678180i | \(0.237231\pi\) | |||||||
\(164\) | −0.530665 | −0.0414380 | ||||||||
\(165\) | 7.39497 | − | 10.9669i | 0.575697 | − | 0.853771i | ||||
\(166\) | − | 3.77680i | − | 0.293136i | ||||||
\(167\) | 7.19692 | 0.556914 | 0.278457 | − | 0.960449i | \(-0.410177\pi\) | ||||
0.278457 | + | 0.960449i | \(0.410177\pi\) | |||||||
\(168\) | −4.73182 | −0.365068 | ||||||||
\(169\) | −0.791278 | −0.0608676 | ||||||||
\(170\) | 9.20203 | + | 6.20492i | 0.705763 | + | 0.475896i | ||||
\(171\) | 14.8370i | 1.13461i | ||||||||
\(172\) | 1.76838 | 0.134838 | ||||||||
\(173\) | 9.79406i | 0.744629i | 0.928107 | + | 0.372314i | \(0.121436\pi\) | ||||
−0.928107 | + | 0.372314i | \(0.878564\pi\) | |||||||
\(174\) | −7.75571 | −0.587959 | ||||||||
\(175\) | −22.2006 | + | 8.97703i | −1.67820 | + | 0.678600i | ||||
\(176\) | −5.98732 | −0.451311 | ||||||||
\(177\) | −2.12525 | −0.159743 | ||||||||
\(178\) | 8.45791i | 0.633947i | ||||||||
\(179\) | 11.2829i | 0.843320i | 0.906754 | + | 0.421660i | \(0.138552\pi\) | ||||
−0.906754 | + | 0.421660i | \(0.861448\pi\) | |||||||
\(180\) | −3.75222 | − | 2.53012i | −0.279674 | − | 0.188584i | ||||
\(181\) | 1.82697 | 0.135798 | 0.0678989 | − | 0.997692i | \(-0.478370\pi\) | ||||
0.0678989 | + | 0.997692i | \(0.478370\pi\) | |||||||
\(182\) | 16.7345i | 1.24045i | ||||||||
\(183\) | −3.02900 | −0.223910 | ||||||||
\(184\) | 1.74873 | 0.128918 | ||||||||
\(185\) | 1.57968 | + | 13.5094i | 0.116140 | + | 0.993233i | ||||
\(186\) | −3.20203 | −0.234784 | ||||||||
\(187\) | −29.7177 | −2.17317 | ||||||||
\(188\) | 4.30638i | 0.314075i | ||||||||
\(189\) | 23.7721 | 1.72917 | ||||||||
\(190\) | −9.16459 | + | 13.5913i | −0.664869 | + | 0.986014i | ||||
\(191\) | − | 23.8204i | − | 1.72358i | −0.507264 | − | 0.861791i | \(-0.669343\pi\) | ||
0.507264 | − | 0.861791i | \(-0.330657\pi\) | |||||||
\(192\) | − | 0.987983i | − | 0.0713015i | ||||||
\(193\) | 8.40405 | 0.604937 | 0.302468 | − | 0.953159i | \(-0.402189\pi\) | ||||
0.302468 | + | 0.953159i | \(0.402189\pi\) | |||||||
\(194\) | −3.64747 | −0.261873 | ||||||||
\(195\) | 4.31558 | − | 6.40009i | 0.309045 | − | 0.458320i | ||||
\(196\) | −15.9381 | −1.13843 | ||||||||
\(197\) | − | 4.22797i | − | 0.301230i | −0.988592 | − | 0.150615i | \(-0.951875\pi\) | ||
0.988592 | − | 0.150615i | \(-0.0481254\pi\) | |||||||
\(198\) | 12.1177 | 0.861166 | ||||||||
\(199\) | 17.7545i | 1.25858i | 0.777170 | + | 0.629290i | \(0.216654\pi\) | ||||
−0.777170 | + | 0.629290i | \(0.783346\pi\) | |||||||
\(200\) | −1.87436 | − | 4.63538i | −0.132538 | − | 0.327771i | ||||
\(201\) | 3.75060 | 0.264547 | ||||||||
\(202\) | −2.30416 | −0.162120 | ||||||||
\(203\) | −37.5968 | −2.63878 | ||||||||
\(204\) | − | 4.90379i | − | 0.343334i | ||||||
\(205\) | 0.983834 | + | 0.663399i | 0.0687139 | + | 0.0463338i | ||||
\(206\) | 11.1716 | 0.778360 | ||||||||
\(207\) | −3.53924 | −0.245994 | ||||||||
\(208\) | −3.49410 | −0.242272 | ||||||||
\(209\) | − | 43.8926i | − | 3.03611i | ||||||
\(210\) | 8.77262 | + | 5.91537i | 0.605368 | + | 0.408200i | ||||
\(211\) | 4.57321 | 0.314833 | 0.157417 | − | 0.987532i | \(-0.449683\pi\) | ||||
0.157417 | + | 0.987532i | \(0.449683\pi\) | |||||||
\(212\) | 3.66238i | 0.251534i | ||||||||
\(213\) | 8.37532i | 0.573867i | ||||||||
\(214\) | 6.51807i | 0.445566i | ||||||||
\(215\) | −3.27852 | − | 2.21071i | −0.223593 | − | 0.150769i | ||||
\(216\) | 4.96352i | 0.337725i | ||||||||
\(217\) | −15.5222 | −1.05372 | ||||||||
\(218\) | 1.33812i | 0.0906293i | ||||||||
\(219\) | −8.94565 | −0.604491 | ||||||||
\(220\) | 11.1003 | + | 7.48491i | 0.748381 | + | 0.504633i | ||||
\(221\) | −17.3427 | −1.16660 | ||||||||
\(222\) | 4.55879 | − | 3.91580i | 0.305966 | − | 0.262812i | ||||
\(223\) | 20.3205i | 1.36076i | 0.732860 | + | 0.680380i | \(0.238185\pi\) | ||||
−0.732860 | + | 0.680380i | \(0.761815\pi\) | |||||||
\(224\) | − | 4.78937i | − | 0.320003i | ||||||
\(225\) | 3.79351 | + | 9.38150i | 0.252900 | + | 0.625433i | ||||
\(226\) | 1.39109 | 0.0925341 | ||||||||
\(227\) | −5.74303 | −0.381178 | −0.190589 | − | 0.981670i | \(-0.561040\pi\) | ||||
−0.190589 | + | 0.981670i | \(0.561040\pi\) | |||||||
\(228\) | 7.24283 | 0.479668 | ||||||||
\(229\) | 23.4383 | 1.54885 | 0.774423 | − | 0.632669i | \(-0.218040\pi\) | ||||
0.774423 | + | 0.632669i | \(0.218040\pi\) | |||||||
\(230\) | −3.24208 | − | 2.18613i | −0.213777 | − | 0.144149i | ||||
\(231\) | −28.3309 | −1.86404 | ||||||||
\(232\) | − | 7.85004i | − | 0.515380i | ||||||
\(233\) | − | 17.2961i | − | 1.13310i | −0.824027 | − | 0.566551i | \(-0.808277\pi\) | ||
0.824027 | − | 0.566551i | \(-0.191723\pi\) | |||||||
\(234\) | 7.07167 | 0.462289 | ||||||||
\(235\) | 5.38352 | − | 7.98388i | 0.351182 | − | 0.520811i | ||||
\(236\) | − | 2.15110i | − | 0.140025i | ||||||
\(237\) | −5.49933 | −0.357220 | ||||||||
\(238\) | − | 23.7717i | − | 1.54089i | ||||||
\(239\) | 3.68796i | 0.238554i | 0.992861 | + | 0.119277i | \(0.0380577\pi\) | ||||
−0.992861 | + | 0.119277i | \(0.961942\pi\) | |||||||
\(240\) | −1.23510 | + | 1.83168i | −0.0797256 | + | 0.118235i | ||||
\(241\) | 11.3613i | 0.731844i | 0.930646 | + | 0.365922i | \(0.119246\pi\) | ||||
−0.930646 | + | 0.365922i | \(0.880754\pi\) | |||||||
\(242\) | −24.8480 | −1.59729 | ||||||||
\(243\) | − | 16.0443i | − | 1.02924i | ||||||
\(244\) | − | 3.06584i | − | 0.196270i | ||||||
\(245\) | 29.5486 | + | 19.9246i | 1.88779 | + | 1.27294i | ||||
\(246\) | − | 0.524288i | − | 0.0334274i | ||||||
\(247\) | − | 25.6150i | − | 1.62984i | ||||||
\(248\) | − | 3.24097i | − | 0.205802i | ||||||
\(249\) | 3.73141 | 0.236469 | ||||||||
\(250\) | −2.31981 | + | 10.9370i | −0.146718 | + | 0.691718i | ||||
\(251\) | 12.8260i | 0.809567i | 0.914412 | + | 0.404784i | \(0.132653\pi\) | ||||
−0.914412 | + | 0.404784i | \(0.867347\pi\) | |||||||
\(252\) | 9.69316i | 0.610612i | ||||||||
\(253\) | 10.4702 | 0.658256 | ||||||||
\(254\) | − | 7.51024i | − | 0.471234i | ||||||
\(255\) | −6.13036 | + | 9.09145i | −0.383898 | + | 0.569328i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 14.0268 | 0.874965 | 0.437483 | − | 0.899227i | \(-0.355870\pi\) | ||||
0.437483 | + | 0.899227i | \(0.355870\pi\) | |||||||
\(258\) | 1.74713i | 0.108772i | ||||||||
\(259\) | 22.0993 | − | 18.9824i | 1.37318 | − | 1.17951i | ||||
\(260\) | 6.47793 | + | 4.36807i | 0.401744 | + | 0.270896i | ||||
\(261\) | 15.8876i | 0.983419i | ||||||||
\(262\) | − | 6.19975i | − | 0.383022i | ||||||
\(263\) | 3.57182i | 0.220248i | 0.993918 | + | 0.110124i | \(0.0351248\pi\) | ||||
−0.993918 | + | 0.110124i | \(0.964875\pi\) | |||||||
\(264\) | − | 5.91537i | − | 0.364066i | ||||||
\(265\) | 4.57844 | − | 6.78993i | 0.281252 | − | 0.417102i | ||||
\(266\) | 35.1105 | 2.15276 | ||||||||
\(267\) | −8.35627 | −0.511396 | ||||||||
\(268\) | 3.79622i | 0.231891i | ||||||||
\(269\) | −0.458895 | −0.0279793 | −0.0139897 | − | 0.999902i | \(-0.504453\pi\) | ||||
−0.0139897 | + | 0.999902i | \(0.504453\pi\) | |||||||
\(270\) | 6.20503 | − | 9.20218i | 0.377626 | − | 0.560027i | ||||
\(271\) | 28.8897 | 1.75492 | 0.877462 | − | 0.479645i | \(-0.159235\pi\) | ||||
0.877462 | + | 0.479645i | \(0.159235\pi\) | |||||||
\(272\) | 4.96343 | 0.300952 | ||||||||
\(273\) | −16.5334 | −1.00065 | ||||||||
\(274\) | − | 8.97186i | − | 0.542010i | ||||||
\(275\) | −11.2224 | − | 27.7535i | −0.676738 | − | 1.67360i | ||||
\(276\) | 1.72772i | 0.103996i | ||||||||
\(277\) | 22.4482 | 1.34878 | 0.674391 | − | 0.738374i | \(-0.264406\pi\) | ||||
0.674391 | + | 0.738374i | \(0.264406\pi\) | |||||||
\(278\) | −5.04168 | −0.302380 | ||||||||
\(279\) | 6.55937i | 0.392699i | ||||||||
\(280\) | −5.98732 | + | 8.87932i | −0.357811 | + | 0.530641i | ||||
\(281\) | 6.04908i | 0.360858i | 0.983588 | + | 0.180429i | \(0.0577486\pi\) | ||||
−0.983588 | + | 0.180429i | \(0.942251\pi\) | |||||||
\(282\) | −4.25463 | −0.253360 | ||||||||
\(283\) | 10.8317 | 0.643878 | 0.321939 | − | 0.946760i | \(-0.395665\pi\) | ||||
0.321939 | + | 0.946760i | \(0.395665\pi\) | |||||||
\(284\) | −8.47719 | −0.503028 | ||||||||
\(285\) | −13.4279 | − | 9.05445i | −0.795403 | − | 0.536340i | ||||
\(286\) | −20.9203 | −1.23704 | ||||||||
\(287\) | − | 2.54155i | − | 0.150023i | ||||||
\(288\) | −2.02389 | −0.119259 | ||||||||
\(289\) | 7.63567 | 0.449157 | ||||||||
\(290\) | −9.81355 | + | 14.5537i | −0.576271 | + | 0.854622i | ||||
\(291\) | − | 3.60364i | − | 0.211249i | ||||||
\(292\) | − | 9.05445i | − | 0.529872i | ||||||
\(293\) | 23.3144i | 1.36204i | 0.732264 | + | 0.681021i | \(0.238464\pi\) | ||||
−0.732264 | + | 0.681021i | \(0.761536\pi\) | |||||||
\(294\) | − | 15.7466i | − | 0.918357i | ||||||
\(295\) | −2.68915 | + | 3.98806i | −0.156568 | + | 0.232194i | ||||
\(296\) | 3.96343 | + | 4.61424i | 0.230370 | + | 0.268197i | ||||
\(297\) | 29.7182i | 1.72442i | ||||||||
\(298\) | 21.6451 | 1.25387 | ||||||||
\(299\) | 6.11023 | 0.353364 | ||||||||
\(300\) | 4.57968 | − | 1.85184i | 0.264408 | − | 0.106916i | ||||
\(301\) | 8.46945i | 0.488171i | ||||||||
\(302\) | −6.47544 | −0.372620 | ||||||||
\(303\) | − | 2.27647i | − | 0.130780i | ||||||
\(304\) | 7.33092i | 0.420457i | ||||||||
\(305\) | −3.83269 | + | 5.68396i | −0.219459 | + | 0.325462i | ||||
\(306\) | −10.0454 | −0.574260 | ||||||||
\(307\) | 14.2651i | 0.814153i | 0.913394 | + | 0.407077i | \(0.133452\pi\) | ||||
−0.913394 | + | 0.407077i | \(0.866548\pi\) | |||||||
\(308\) | − | 28.6755i | − | 1.63394i | ||||||
\(309\) | 11.0373i | 0.627891i | ||||||||
\(310\) | −4.05163 | + | 6.00865i | −0.230117 | + | 0.341268i | ||||
\(311\) | 22.5322i | 1.27768i | 0.769339 | + | 0.638841i | \(0.220586\pi\) | ||||
−0.769339 | + | 0.638841i | \(0.779414\pi\) | |||||||
\(312\) | − | 3.45211i | − | 0.195437i | ||||||
\(313\) | −10.0000 | −0.565233 | −0.282617 | − | 0.959233i | \(-0.591202\pi\) | ||||
−0.282617 | + | 0.959233i | \(0.591202\pi\) | |||||||
\(314\) | − | 13.1689i | − | 0.743162i | ||||||
\(315\) | 12.1177 | − | 17.9708i | 0.682754 | − | 1.01254i | ||||
\(316\) | − | 5.56622i | − | 0.313124i | ||||||
\(317\) | − | 12.3877i | − | 0.695764i | −0.937538 | − | 0.347882i | \(-0.886901\pi\) | ||
0.937538 | − | 0.347882i | \(-0.113099\pi\) | |||||||
\(318\) | −3.61837 | −0.202908 | ||||||||
\(319\) | − | 47.0007i | − | 2.63154i | ||||||
\(320\) | −1.85396 | − | 1.25013i | −0.103640 | − | 0.0698842i | ||||
\(321\) | −6.43975 | −0.359432 | ||||||||
\(322\) | 8.37532i | 0.466738i | ||||||||
\(323\) | 36.3865i | 2.02460i | ||||||||
\(324\) | 1.16780 | 0.0648777 | ||||||||
\(325\) | −6.54921 | − | 16.1965i | −0.363285 | − | 0.898419i | ||||
\(326\) | −18.7651 | −1.03930 | ||||||||
\(327\) | −1.32204 | −0.0731092 | ||||||||
\(328\) | 0.530665 | 0.0293011 | ||||||||
\(329\) | −20.6249 | −1.13709 | ||||||||
\(330\) | −7.39497 | + | 10.9669i | −0.407080 | + | 0.603707i | ||||
\(331\) | − | 19.0068i | − | 1.04471i | −0.852728 | − | 0.522355i | \(-0.825054\pi\) | ||
0.852728 | − | 0.522355i | \(-0.174946\pi\) | |||||||
\(332\) | 3.77680i | 0.207279i | ||||||||
\(333\) | −8.02155 | − | 9.33871i | −0.439578 | − | 0.511758i | ||||
\(334\) | −7.19692 | −0.393798 | ||||||||
\(335\) | 4.74575 | − | 7.03805i | 0.259288 | − | 0.384530i | ||||
\(336\) | 4.73182 | 0.258142 | ||||||||
\(337\) | − | 25.1046i | − | 1.36753i | −0.729701 | − | 0.683766i | \(-0.760341\pi\) | ||
0.729701 | − | 0.683766i | \(-0.239659\pi\) | |||||||
\(338\) | 0.791278 | 0.0430399 | ||||||||
\(339\) | 1.37438i | 0.0746459i | ||||||||
\(340\) | −9.20203 | − | 6.20492i | −0.499050 | − | 0.336509i | ||||
\(341\) | − | 19.4047i | − | 1.05083i | ||||||
\(342\) | − | 14.8370i | − | 0.802292i | ||||||
\(343\) | − | 42.8078i | − | 2.31140i | ||||||
\(344\) | −1.76838 | −0.0953449 | ||||||||
\(345\) | 2.15986 | − | 3.20312i | 0.116283 | − | 0.172450i | ||||
\(346\) | − | 9.79406i | − | 0.526532i | ||||||
\(347\) | 30.4282 | 1.63347 | 0.816736 | − | 0.577011i | \(-0.195781\pi\) | ||||
0.816736 | + | 0.577011i | \(0.195781\pi\) | |||||||
\(348\) | 7.75571 | 0.415750 | ||||||||
\(349\) | 15.1341 | 0.810111 | 0.405056 | − | 0.914292i | \(-0.367252\pi\) | ||||
0.405056 | + | 0.914292i | \(0.367252\pi\) | |||||||
\(350\) | 22.2006 | − | 8.97703i | 1.18667 | − | 0.479842i | ||||
\(351\) | 17.3430i | 0.925702i | ||||||||
\(352\) | 5.98732 | 0.319125 | ||||||||
\(353\) | −10.1331 | −0.539332 | −0.269666 | − | 0.962954i | \(-0.586913\pi\) | ||||
−0.269666 | + | 0.962954i | \(0.586913\pi\) | |||||||
\(354\) | 2.12525 | 0.112956 | ||||||||
\(355\) | 15.7164 | + | 10.5976i | 0.834140 | + | 0.562460i | ||||
\(356\) | − | 8.45791i | − | 0.448268i | ||||||
\(357\) | 23.4861 | 1.24301 | ||||||||
\(358\) | − | 11.2829i | − | 0.596317i | ||||||
\(359\) | −26.3685 | −1.39168 | −0.695838 | − | 0.718199i | \(-0.744967\pi\) | ||||
−0.695838 | + | 0.718199i | \(0.744967\pi\) | |||||||
\(360\) | 3.75222 | + | 2.53012i | 0.197759 | + | 0.133349i | ||||
\(361\) | −34.7424 | −1.82855 | ||||||||
\(362\) | −1.82697 | −0.0960235 | ||||||||
\(363\) | − | 24.5494i | − | 1.28851i | ||||||
\(364\) | − | 16.7345i | − | 0.877128i | ||||||
\(365\) | −11.3192 | + | 16.7866i | −0.592475 | + | 0.878653i | ||||
\(366\) | 3.02900 | 0.158328 | ||||||||
\(367\) | 2.21157i | 0.115443i | 0.998333 | + | 0.0577215i | \(0.0183835\pi\) | ||||
−0.998333 | + | 0.0577215i | \(0.981616\pi\) | |||||||
\(368\) | −1.74873 | −0.0911588 | ||||||||
\(369\) | −1.07401 | −0.0559106 | ||||||||
\(370\) | −1.57968 | − | 13.5094i | −0.0821235 | − | 0.702322i | ||||
\(371\) | −17.5405 | −0.910658 | ||||||||
\(372\) | 3.20203 | 0.166017 | ||||||||
\(373\) | 6.08275i | 0.314953i | 0.987523 | + | 0.157476i | \(0.0503358\pi\) | ||||
−0.987523 | + | 0.157476i | \(0.949664\pi\) | |||||||
\(374\) | 29.7177 | 1.53666 | ||||||||
\(375\) | −10.8056 | − | 2.29193i | −0.557998 | − | 0.118355i | ||||
\(376\) | − | 4.30638i | − | 0.222085i | ||||||
\(377\) | − | 27.4288i | − | 1.41266i | ||||||
\(378\) | −23.7721 | −1.22271 | ||||||||
\(379\) | −20.0919 | −1.03205 | −0.516025 | − | 0.856574i | \(-0.672589\pi\) | ||||
−0.516025 | + | 0.856574i | \(0.672589\pi\) | |||||||
\(380\) | 9.16459 | − | 13.5913i | 0.470133 | − | 0.697217i | ||||
\(381\) | 7.41999 | 0.380138 | ||||||||
\(382\) | 23.8204i | 1.21876i | ||||||||
\(383\) | 11.5368 | 0.589501 | 0.294751 | − | 0.955574i | \(-0.404763\pi\) | ||||
0.294751 | + | 0.955574i | \(0.404763\pi\) | |||||||
\(384\) | 0.987983i | 0.0504178i | ||||||||
\(385\) | −35.8480 | + | 53.1634i | −1.82698 | + | 2.70946i | ||||
\(386\) | −8.40405 | −0.427755 | ||||||||
\(387\) | 3.57901 | 0.181932 | ||||||||
\(388\) | 3.64747 | 0.185172 | ||||||||
\(389\) | 8.55057i | 0.433531i | 0.976224 | + | 0.216766i | \(0.0695507\pi\) | ||||
−0.976224 | + | 0.216766i | \(0.930449\pi\) | |||||||
\(390\) | −4.31558 | + | 6.40009i | −0.218528 | + | 0.324081i | ||||
\(391\) | −8.67970 | −0.438951 | ||||||||
\(392\) | 15.9381 | 0.804995 | ||||||||
\(393\) | 6.12525 | 0.308978 | ||||||||
\(394\) | 4.22797i | 0.213002i | ||||||||
\(395\) | −6.95848 | + | 10.3196i | −0.350119 | + | 0.519234i | ||||
\(396\) | −12.1177 | −0.608936 | ||||||||
\(397\) | 9.84444i | 0.494078i | 0.969006 | + | 0.247039i | \(0.0794576\pi\) | ||||
−0.969006 | + | 0.247039i | \(0.920542\pi\) | |||||||
\(398\) | − | 17.7545i | − | 0.889951i | ||||||
\(399\) | 34.6886i | 1.73660i | ||||||||
\(400\) | 1.87436 | + | 4.63538i | 0.0937182 | + | 0.231769i | ||||
\(401\) | − | 31.0959i | − | 1.55285i | −0.630207 | − | 0.776427i | \(-0.717030\pi\) | ||
0.630207 | − | 0.776427i | \(-0.282970\pi\) | |||||||
\(402\) | −3.75060 | −0.187063 | ||||||||
\(403\) | − | 11.3243i | − | 0.564102i | ||||||
\(404\) | 2.30416 | 0.114636 | ||||||||
\(405\) | −2.16506 | − | 1.45990i | −0.107582 | − | 0.0725428i | ||||
\(406\) | 37.5968 | 1.86590 | ||||||||
\(407\) | 23.7304 | + | 27.6269i | 1.17627 | + | 1.36942i | ||||
\(408\) | 4.90379i | 0.242774i | ||||||||
\(409\) | 38.3150i | 1.89455i | 0.320417 | + | 0.947277i | \(0.396177\pi\) | ||||
−0.320417 | + | 0.947277i | \(0.603823\pi\) | |||||||
\(410\) | −0.983834 | − | 0.663399i | −0.0485881 | − | 0.0327629i | ||||
\(411\) | 8.86404 | 0.437231 | ||||||||
\(412\) | −11.1716 | −0.550383 | ||||||||
\(413\) | 10.3024 | 0.506948 | ||||||||
\(414\) | 3.53924 | 0.173944 | ||||||||
\(415\) | 4.72148 | − | 7.00205i | 0.231768 | − | 0.343717i | ||||
\(416\) | 3.49410 | 0.171312 | ||||||||
\(417\) | − | 4.98109i | − | 0.243925i | ||||||
\(418\) | 43.8926i | 2.14686i | ||||||||
\(419\) | 29.0183 | 1.41764 | 0.708819 | − | 0.705391i | \(-0.249228\pi\) | ||||
0.708819 | + | 0.705391i | \(0.249228\pi\) | |||||||
\(420\) | −8.77262 | − | 5.91537i | −0.428060 | − | 0.288641i | ||||
\(421\) | − | 23.6443i | − | 1.15235i | −0.817326 | − | 0.576175i | \(-0.804545\pi\) | ||
0.817326 | − | 0.576175i | \(-0.195455\pi\) | |||||||
\(422\) | −4.57321 | −0.222621 | ||||||||
\(423\) | 8.71564i | 0.423769i | ||||||||
\(424\) | − | 3.66238i | − | 0.177861i | ||||||
\(425\) | 9.30328 | + | 23.0074i | 0.451276 | + | 1.11602i | ||||
\(426\) | − | 8.37532i | − | 0.405785i | ||||||
\(427\) | 14.6834 | 0.710582 | ||||||||
\(428\) | − | 6.51807i | − | 0.315063i | ||||||
\(429\) | − | 20.6689i | − | 0.997904i | ||||||
\(430\) | 3.27852 | + | 2.21071i | 0.158104 | + | 0.106610i | ||||
\(431\) | 32.1126i | 1.54681i | 0.633912 | + | 0.773406i | \(0.281448\pi\) | ||||
−0.633912 | + | 0.773406i | \(0.718552\pi\) | |||||||
\(432\) | − | 4.96352i | − | 0.238807i | ||||||
\(433\) | 13.0575i | 0.627504i | 0.949505 | + | 0.313752i | \(0.101586\pi\) | ||||
−0.949505 | + | 0.313752i | \(0.898414\pi\) | |||||||
\(434\) | 15.5222 | 0.745091 | ||||||||
\(435\) | −14.3788 | − | 9.69562i | −0.689411 | − | 0.464869i | ||||
\(436\) | − | 1.33812i | − | 0.0640846i | ||||||
\(437\) | − | 12.8198i | − | 0.613254i | ||||||
\(438\) | 8.94565 | 0.427440 | ||||||||
\(439\) | − | 28.0499i | − | 1.33875i | −0.742924 | − | 0.669375i | \(-0.766562\pi\) | ||
0.742924 | − | 0.669375i | \(-0.233438\pi\) | |||||||
\(440\) | −11.1003 | − | 7.48491i | −0.529185 | − | 0.356829i | ||||
\(441\) | −32.2569 | −1.53604 | ||||||||
\(442\) | 17.3427 | 0.824909 | ||||||||
\(443\) | − | 6.79629i | − | 0.322902i | −0.986881 | − | 0.161451i | \(-0.948383\pi\) | ||
0.986881 | − | 0.161451i | \(-0.0516173\pi\) | |||||||
\(444\) | −4.55879 | + | 3.91580i | −0.216351 | + | 0.185836i | ||||
\(445\) | −10.5735 | + | 15.6807i | −0.501230 | + | 0.743335i | ||||
\(446\) | − | 20.3205i | − | 0.962203i | ||||||
\(447\) | 21.3850i | 1.01148i | ||||||||
\(448\) | 4.78937i | 0.226277i | ||||||||
\(449\) | − | 17.3278i | − | 0.817747i | −0.912591 | − | 0.408874i | \(-0.865922\pi\) | ||
0.912591 | − | 0.408874i | \(-0.134078\pi\) | |||||||
\(450\) | −3.79351 | − | 9.38150i | −0.178828 | − | 0.442248i | ||||
\(451\) | 3.17726 | 0.149611 | ||||||||
\(452\) | −1.39109 | −0.0654315 | ||||||||
\(453\) | − | 6.39762i | − | 0.300587i | ||||||
\(454\) | 5.74303 | 0.269534 | ||||||||
\(455\) | −20.9203 | + | 31.0252i | −0.980758 | + | 1.45448i | ||||
\(456\) | −7.24283 | −0.339176 | ||||||||
\(457\) | 3.20960 | 0.150139 | 0.0750693 | − | 0.997178i | \(-0.476082\pi\) | ||||
0.0750693 | + | 0.997178i | \(0.476082\pi\) | |||||||
\(458\) | −23.4383 | −1.09520 | ||||||||
\(459\) | − | 24.6361i | − | 1.14991i | ||||||
\(460\) | 3.24208 | + | 2.18613i | 0.151163 | + | 0.101929i | ||||
\(461\) | 34.0347i | 1.58515i | 0.609773 | + | 0.792576i | \(0.291261\pi\) | ||||
−0.609773 | + | 0.792576i | \(0.708739\pi\) | |||||||
\(462\) | 28.3309 | 1.31807 | ||||||||
\(463\) | 26.0543 | 1.21085 | 0.605423 | − | 0.795904i | \(-0.293004\pi\) | ||||
0.605423 | + | 0.795904i | \(0.293004\pi\) | |||||||
\(464\) | 7.85004i | 0.364429i | ||||||||
\(465\) | −5.93644 | − | 4.00294i | −0.275296 | − | 0.185632i | ||||
\(466\) | 17.2961i | 0.801224i | ||||||||
\(467\) | −20.3289 | −0.940710 | −0.470355 | − | 0.882477i | \(-0.655874\pi\) | ||||
−0.470355 | + | 0.882477i | \(0.655874\pi\) | |||||||
\(468\) | −7.07167 | −0.326888 | ||||||||
\(469\) | −18.1815 | −0.839544 | ||||||||
\(470\) | −5.38352 | + | 7.98388i | −0.248323 | + | 0.368269i | ||||
\(471\) | 13.0106 | 0.599498 | ||||||||
\(472\) | 2.15110i | 0.0990123i | ||||||||
\(473\) | −10.5879 | −0.486832 | ||||||||
\(474\) | 5.49933 | 0.252593 | ||||||||
\(475\) | −33.9816 | + | 13.7408i | −1.55918 | + | 0.630472i | ||||
\(476\) | 23.7717i | 1.08958i | ||||||||
\(477\) | 7.41226i | 0.339384i | ||||||||
\(478\) | − | 3.68796i | − | 0.168683i | ||||||
\(479\) | − | 6.22972i | − | 0.284643i | −0.989820 | − | 0.142322i | \(-0.954543\pi\) | ||
0.989820 | − | 0.142322i | \(-0.0454567\pi\) | |||||||
\(480\) | 1.23510 | − | 1.83168i | 0.0563745 | − | 0.0836046i | ||||
\(481\) | 13.8486 | + | 16.1226i | 0.631443 | + | 0.735127i | ||||
\(482\) | − | 11.3613i | − | 0.517492i | ||||||
\(483\) | −8.27467 | −0.376511 | ||||||||
\(484\) | 24.8480 | 1.12946 | ||||||||
\(485\) | −6.76228 | − | 4.55980i | −0.307059 | − | 0.207050i | ||||
\(486\) | 16.0443i | 0.727785i | ||||||||
\(487\) | −30.5352 | −1.38368 | −0.691841 | − | 0.722050i | \(-0.743200\pi\) | ||||
−0.691841 | + | 0.722050i | \(0.743200\pi\) | |||||||
\(488\) | 3.06584i | 0.138784i | ||||||||
\(489\) | − | 18.5396i | − | 0.838387i | ||||||
\(490\) | −29.5486 | − | 19.9246i | −1.33487 | − | 0.900103i | ||||
\(491\) | 24.5944 | 1.10993 | 0.554965 | − | 0.831874i | \(-0.312732\pi\) | ||||
0.554965 | + | 0.831874i | \(0.312732\pi\) | |||||||
\(492\) | 0.524288i | 0.0236367i | ||||||||
\(493\) | 38.9632i | 1.75481i | ||||||||
\(494\) | 25.6150i | 1.15247i | ||||||||
\(495\) | 22.4657 | + | 15.1486i | 1.00976 | + | 0.680881i | ||||
\(496\) | 3.24097i | 0.145524i | ||||||||
\(497\) | − | 40.6004i | − | 1.82118i | ||||||
\(498\) | −3.73141 | −0.167209 | ||||||||
\(499\) | − | 33.5739i | − | 1.50297i | −0.659747 | − | 0.751487i | \(-0.729337\pi\) | ||
0.659747 | − | 0.751487i | \(-0.270663\pi\) | |||||||
\(500\) | 2.31981 | − | 10.9370i | 0.103745 | − | 0.489119i | ||||
\(501\) | − | 7.11043i | − | 0.317671i | ||||||
\(502\) | − | 12.8260i | − | 0.572451i | ||||||
\(503\) | −1.77931 | −0.0793357 | −0.0396679 | − | 0.999213i | \(-0.512630\pi\) | ||||
−0.0396679 | + | 0.999213i | \(0.512630\pi\) | |||||||
\(504\) | − | 9.69316i | − | 0.431768i | ||||||
\(505\) | −4.27183 | − | 2.88049i | −0.190094 | − | 0.128180i | ||||
\(506\) | −10.4702 | −0.465458 | ||||||||
\(507\) | 0.781770i | 0.0347196i | ||||||||
\(508\) | 7.51024i | 0.333213i | ||||||||
\(509\) | 29.5114 | 1.30807 | 0.654035 | − | 0.756464i | \(-0.273075\pi\) | ||||
0.654035 | + | 0.756464i | \(0.273075\pi\) | |||||||
\(510\) | 6.13036 | − | 9.09145i | 0.271457 | − | 0.402576i | ||||
\(511\) | 43.3651 | 1.91836 | ||||||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 36.3872 | 1.60653 | ||||||||
\(514\) | −14.0268 | −0.618694 | ||||||||
\(515\) | 20.7117 | + | 13.9659i | 0.912665 | + | 0.615410i | ||||
\(516\) | − | 1.74713i | − | 0.0769133i | ||||||
\(517\) | − | 25.7837i | − | 1.13397i | ||||||
\(518\) | −22.0993 | + | 18.9824i | −0.970988 | + | 0.834037i | ||||
\(519\) | 9.67637 | 0.424745 | ||||||||
\(520\) | −6.47793 | − | 4.36807i | −0.284076 | − | 0.191552i | ||||
\(521\) | 29.2841 | 1.28296 | 0.641481 | − | 0.767139i | \(-0.278320\pi\) | ||||
0.641481 | + | 0.767139i | \(0.278320\pi\) | |||||||
\(522\) | − | 15.8876i | − | 0.695382i | ||||||
\(523\) | −29.9729 | −1.31062 | −0.655312 | − | 0.755359i | \(-0.727463\pi\) | ||||
−0.655312 | + | 0.755359i | \(0.727463\pi\) | |||||||
\(524\) | 6.19975i | 0.270837i | ||||||||
\(525\) | 8.86915 | + | 21.9338i | 0.387082 | + | 0.957269i | ||||
\(526\) | − | 3.57182i | − | 0.155739i | ||||||
\(527\) | 16.0864i | 0.700732i | ||||||||
\(528\) | 5.91537i | 0.257434i | ||||||||
\(529\) | −19.9419 | −0.867041 | ||||||||
\(530\) | −4.57844 | + | 6.78993i | −0.198875 | + | 0.294936i | ||||
\(531\) | − | 4.35359i | − | 0.188930i | ||||||
\(532\) | −35.1105 | −1.52223 | ||||||||
\(533\) | 1.85420 | 0.0803141 | ||||||||
\(534\) | 8.35627 | 0.361611 | ||||||||
\(535\) | −8.14842 | + | 12.0843i | −0.352287 | + | 0.522449i | ||||
\(536\) | − | 3.79622i | − | 0.163972i | ||||||
\(537\) | 11.1473 | 0.481040 | ||||||||
\(538\) | 0.458895 | 0.0197844 | ||||||||
\(539\) | 95.4264 | 4.11031 | ||||||||
\(540\) | −6.20503 | + | 9.20218i | −0.267022 | + | 0.395999i | ||||
\(541\) | − | 18.7155i | − | 0.804644i | −0.915498 | − | 0.402322i | \(-0.868203\pi\) | ||
0.915498 | − | 0.402322i | \(-0.131797\pi\) | |||||||
\(542\) | −28.8897 | −1.24092 | ||||||||
\(543\) | − | 1.80502i | − | 0.0774607i | ||||||
\(544\) | −4.96343 | −0.212805 | ||||||||
\(545\) | −1.67283 | + | 2.48084i | −0.0716560 | + | 0.106267i | ||||
\(546\) | 16.5334 | 0.707566 | ||||||||
\(547\) | −32.4792 | −1.38871 | −0.694355 | − | 0.719633i | \(-0.744310\pi\) | ||||
−0.694355 | + | 0.719633i | \(0.744310\pi\) | |||||||
\(548\) | 8.97186i | 0.383259i | ||||||||
\(549\) | − | 6.20492i | − | 0.264820i | ||||||
\(550\) | 11.2224 | + | 27.7535i | 0.478526 | + | 1.18341i | ||||
\(551\) | −57.5480 | −2.45163 | ||||||||
\(552\) | − | 1.72772i | − | 0.0735364i | ||||||
\(553\) | 26.6587 | 1.13364 | ||||||||
\(554\) | −22.4482 | −0.953733 | ||||||||
\(555\) | 13.3471 | − | 1.56069i | 0.566552 | − | 0.0662478i | ||||
\(556\) | 5.04168 | 0.213815 | ||||||||
\(557\) | −16.0158 | −0.678612 | −0.339306 | − | 0.940676i | \(-0.610192\pi\) | ||||
−0.339306 | + | 0.940676i | \(0.610192\pi\) | |||||||
\(558\) | − | 6.55937i | − | 0.277680i | ||||||
\(559\) | −6.17891 | −0.261340 | ||||||||
\(560\) | 5.98732 | − | 8.87932i | 0.253011 | − | 0.375220i | ||||
\(561\) | 29.3606i | 1.23960i | ||||||||
\(562\) | − | 6.04908i | − | 0.255165i | ||||||
\(563\) | −15.3069 | −0.645109 | −0.322554 | − | 0.946551i | \(-0.604542\pi\) | ||||
−0.322554 | + | 0.946551i | \(0.604542\pi\) | |||||||
\(564\) | 4.25463 | 0.179152 | ||||||||
\(565\) | 2.57904 | + | 1.73904i | 0.108501 | + | 0.0731621i | ||||
\(566\) | −10.8317 | −0.455291 | ||||||||
\(567\) | 5.59302i | 0.234885i | ||||||||
\(568\) | 8.47719 | 0.355695 | ||||||||
\(569\) | 26.6494i | 1.11720i | 0.829437 | + | 0.558601i | \(0.188662\pi\) | ||||
−0.829437 | + | 0.558601i | \(0.811338\pi\) | |||||||
\(570\) | 13.4279 | + | 9.05445i | 0.562435 | + | 0.379249i | ||||
\(571\) | 23.1683 | 0.969564 | 0.484782 | − | 0.874635i | \(-0.338899\pi\) | ||||
0.484782 | + | 0.874635i | \(0.338899\pi\) | |||||||
\(572\) | 20.9203 | 0.874721 | ||||||||
\(573\) | −23.5341 | −0.983152 | ||||||||
\(574\) | 2.54155i | 0.106082i | ||||||||
\(575\) | −3.27776 | − | 8.10603i | −0.136692 | − | 0.338045i | ||||
\(576\) | 2.02389 | 0.0843287 | ||||||||
\(577\) | −3.54110 | −0.147418 | −0.0737091 | − | 0.997280i | \(-0.523484\pi\) | ||||
−0.0737091 | + | 0.997280i | \(0.523484\pi\) | |||||||
\(578\) | −7.63567 | −0.317602 | ||||||||
\(579\) | − | 8.30306i | − | 0.345063i | ||||||
\(580\) | 9.81355 | − | 14.5537i | 0.407485 | − | 0.604309i | ||||
\(581\) | −18.0885 | −0.750437 | ||||||||
\(582\) | 3.60364i | 0.149376i | ||||||||
\(583\) | − | 21.9279i | − | 0.908160i | ||||||
\(584\) | 9.05445i | 0.374676i | ||||||||
\(585\) | 13.1106 | + | 8.84048i | 0.542057 | + | 0.365509i | ||||
\(586\) | − | 23.3144i | − | 0.963109i | ||||||
\(587\) | 12.0976 | 0.499320 | 0.249660 | − | 0.968334i | \(-0.419681\pi\) | ||||
0.249660 | + | 0.968334i | \(0.419681\pi\) | |||||||
\(588\) | 15.7466i | 0.649377i | ||||||||
\(589\) | −23.7593 | −0.978986 | ||||||||
\(590\) | 2.68915 | − | 3.98806i | 0.110710 | − | 0.164186i | ||||
\(591\) | −4.17716 | −0.171825 | ||||||||
\(592\) | −3.96343 | − | 4.61424i | −0.162896 | − | 0.189644i | ||||
\(593\) | 17.2007i | 0.706348i | 0.935558 | + | 0.353174i | \(0.114898\pi\) | ||||
−0.935558 | + | 0.353174i | \(0.885102\pi\) | |||||||
\(594\) | − | 29.7182i | − | 1.21935i | ||||||
\(595\) | 29.7177 | − | 44.0719i | 1.21831 | − | 1.80677i | ||||
\(596\) | −21.6451 | −0.886619 | ||||||||
\(597\) | 17.5411 | 0.717910 | ||||||||
\(598\) | −6.11023 | −0.249866 | ||||||||
\(599\) | 2.41919 | 0.0988454 | 0.0494227 | − | 0.998778i | \(-0.484262\pi\) | ||||
0.0494227 | + | 0.998778i | \(0.484262\pi\) | |||||||
\(600\) | −4.57968 | + | 1.85184i | −0.186965 | + | 0.0756011i | ||||
\(601\) | −39.0483 | −1.59281 | −0.796407 | − | 0.604761i | \(-0.793269\pi\) | ||||
−0.796407 | + | 0.604761i | \(0.793269\pi\) | |||||||
\(602\) | − | 8.46945i | − | 0.345189i | ||||||
\(603\) | 7.68313i | 0.312881i | ||||||||
\(604\) | 6.47544 | 0.263482 | ||||||||
\(605\) | −46.0674 | − | 31.0632i | −1.87290 | − | 1.26290i | ||||
\(606\) | 2.27647i | 0.0924752i | ||||||||
\(607\) | −38.0508 | −1.54443 | −0.772217 | − | 0.635359i | \(-0.780852\pi\) | ||||
−0.772217 | + | 0.635359i | \(0.780852\pi\) | |||||||
\(608\) | − | 7.33092i | − | 0.297308i | ||||||
\(609\) | 37.1450i | 1.50519i | ||||||||
\(610\) | 3.83269 | − | 5.68396i | 0.155181 | − | 0.230137i | ||||
\(611\) | − | 15.0469i | − | 0.608733i | ||||||
\(612\) | 10.0454 | 0.406063 | ||||||||
\(613\) | 7.12176i | 0.287645i | 0.989603 | + | 0.143823i | \(0.0459395\pi\) | ||||
−0.989603 | + | 0.143823i | \(0.954061\pi\) | |||||||
\(614\) | − | 14.2651i | − | 0.575693i | ||||||
\(615\) | 0.655427 | − | 0.972011i | 0.0264294 | − | 0.0391953i | ||||
\(616\) | 28.6755i | 1.15537i | ||||||||
\(617\) | 42.6678i | 1.71774i | 0.512192 | + | 0.858871i | \(0.328834\pi\) | ||||
−0.512192 | + | 0.858871i | \(0.671166\pi\) | |||||||
\(618\) | − | 11.0373i | − | 0.443986i | ||||||
\(619\) | −6.30429 | −0.253391 | −0.126695 | − | 0.991942i | \(-0.540437\pi\) | ||||
−0.126695 | + | 0.991942i | \(0.540437\pi\) | |||||||
\(620\) | 4.05163 | − | 6.00865i | 0.162717 | − | 0.241313i | ||||
\(621\) | 8.67985i | 0.348310i | ||||||||
\(622\) | − | 22.5322i | − | 0.903458i | ||||||
\(623\) | 40.5081 | 1.62292 | ||||||||
\(624\) | 3.45211i | 0.138195i | ||||||||
\(625\) | −17.9735 | + | 17.3768i | −0.718941 | + | 0.695072i | ||||
\(626\) | 10.0000 | 0.399680 | ||||||||
\(627\) | −43.3651 | −1.73184 | ||||||||
\(628\) | 13.1689i | 0.525495i | ||||||||
\(629\) | −19.6722 | − | 22.9025i | −0.784383 | − | 0.913181i | ||||
\(630\) | −12.1177 | + | 17.9708i | −0.482780 | + | 0.715973i | ||||
\(631\) | − | 32.6385i | − | 1.29932i | −0.760225 | − | 0.649660i | \(-0.774911\pi\) | ||
0.760225 | − | 0.649660i | \(-0.225089\pi\) | |||||||
\(632\) | 5.56622i | 0.221412i | ||||||||
\(633\) | − | 4.51826i | − | 0.179585i | ||||||
\(634\) | 12.3877i | 0.491979i | ||||||||
\(635\) | 9.38875 | − | 13.9237i | 0.372581 | − | 0.552546i | ||||
\(636\) | 3.61837 | 0.143478 | ||||||||
\(637\) | 55.6892 | 2.20649 | ||||||||
\(638\) | 47.0007i | 1.86078i | ||||||||
\(639\) | −17.1569 | −0.678716 | ||||||||
\(640\) | 1.85396 | + | 1.25013i | 0.0732844 | + | 0.0494156i | ||||
\(641\) | −12.1721 | −0.480767 | −0.240384 | − | 0.970678i | \(-0.577273\pi\) | ||||
−0.240384 | + | 0.970678i | \(0.577273\pi\) | |||||||
\(642\) | 6.43975 | 0.254156 | ||||||||
\(643\) | 10.0853 | 0.397727 | 0.198864 | − | 0.980027i | \(-0.436275\pi\) | ||||
0.198864 | + | 0.980027i | \(0.436275\pi\) | |||||||
\(644\) | − | 8.37532i | − | 0.330034i | ||||||
\(645\) | −2.18414 | + | 3.23912i | −0.0860004 | + | 0.127540i | ||||
\(646\) | − | 36.3865i | − | 1.43161i | ||||||
\(647\) | −38.5061 | −1.51383 | −0.756916 | − | 0.653512i | \(-0.773295\pi\) | ||||
−0.756916 | + | 0.653512i | \(0.773295\pi\) | |||||||
\(648\) | −1.16780 | −0.0458754 | ||||||||
\(649\) | 12.8793i | 0.505558i | ||||||||
\(650\) | 6.54921 | + | 16.1965i | 0.256881 | + | 0.635278i | ||||
\(651\) | 15.3357i | 0.601053i | ||||||||
\(652\) | 18.7651 | 0.734896 | ||||||||
\(653\) | −2.20349 | −0.0862293 | −0.0431146 | − | 0.999070i | \(-0.513728\pi\) | ||||
−0.0431146 | + | 0.999070i | \(0.513728\pi\) | |||||||
\(654\) | 1.32204 | 0.0516960 | ||||||||
\(655\) | 7.75048 | − | 11.4941i | 0.302836 | − | 0.449112i | ||||
\(656\) | −0.530665 | −0.0207190 | ||||||||
\(657\) | − | 18.3252i | − | 0.714935i | ||||||
\(658\) | 20.6249 | 0.804041 | ||||||||
\(659\) | −20.4048 | −0.794859 | −0.397430 | − | 0.917633i | \(-0.630098\pi\) | ||||
−0.397430 | + | 0.917633i | \(0.630098\pi\) | |||||||
\(660\) | 7.39497 | − | 10.9669i | 0.287849 | − | 0.426886i | ||||
\(661\) | − | 27.0306i | − | 1.05137i | −0.850680 | − | 0.525684i | \(-0.823809\pi\) | ||
0.850680 | − | 0.525684i | \(-0.176191\pi\) | |||||||
\(662\) | 19.0068i | 0.738721i | ||||||||
\(663\) | 17.1343i | 0.665442i | ||||||||
\(664\) | − | 3.77680i | − | 0.146568i | ||||||
\(665\) | 65.0936 | + | 43.8926i | 2.52422 | + | 1.70208i | ||||
\(666\) | 8.02155 | + | 9.33871i | 0.310829 | + | 0.361868i | ||||
\(667\) | − | 13.7276i | − | 0.531535i | ||||||
\(668\) | 7.19692 | 0.278457 | ||||||||
\(669\) | 20.0763 | 0.776194 | ||||||||
\(670\) | −4.74575 | + | 7.03805i | −0.183344 | + | 0.271904i | ||||
\(671\) | 18.3562i | 0.708632i | ||||||||
\(672\) | −4.73182 | −0.182534 | ||||||||
\(673\) | 11.6776i | 0.450139i | 0.974343 | + | 0.225070i | \(0.0722609\pi\) | ||||
−0.974343 | + | 0.225070i | \(0.927739\pi\) | |||||||
\(674\) | 25.1046i | 0.966991i | ||||||||
\(675\) | 23.0078 | − | 9.30344i | 0.885570 | − | 0.358090i | ||||
\(676\) | −0.791278 | −0.0304338 | ||||||||
\(677\) | 37.2578i | 1.43193i | 0.698135 | + | 0.715966i | \(0.254014\pi\) | ||||
−0.698135 | + | 0.715966i | \(0.745986\pi\) | |||||||
\(678\) | − | 1.37438i | − | 0.0527826i | ||||||
\(679\) | 17.4691i | 0.670402i | ||||||||
\(680\) | 9.20203 | + | 6.20492i | 0.352882 | + | 0.237948i | ||||
\(681\) | 5.67402i | 0.217429i | ||||||||
\(682\) | 19.4047i | 0.743046i | ||||||||
\(683\) | −46.3018 | −1.77169 | −0.885845 | − | 0.463981i | \(-0.846420\pi\) | ||||
−0.885845 | + | 0.463981i | \(0.846420\pi\) | |||||||
\(684\) | 14.8370i | 0.567306i | ||||||||
\(685\) | 11.2160 | − | 16.6335i | 0.428540 | − | 0.635533i | ||||
\(686\) | 42.8078i | 1.63441i | ||||||||
\(687\) | − | 23.1566i | − | 0.883480i | ||||||
\(688\) | 1.76838 | 0.0674190 | ||||||||
\(689\) | − | 12.7967i | − | 0.487516i | ||||||
\(690\) | −2.15986 | + | 3.20312i | −0.0822246 | + | 0.121941i | ||||
\(691\) | 29.7037 | 1.12998 | 0.564991 | − | 0.825097i | \(-0.308879\pi\) | ||||
0.564991 | + | 0.825097i | \(0.308879\pi\) | |||||||
\(692\) | 9.79406i | 0.372314i | ||||||||
\(693\) | − | 58.0361i | − | 2.20461i | ||||||
\(694\) | −30.4282 | −1.15504 | ||||||||
\(695\) | −9.34708 | − | 6.30273i | −0.354555 | − | 0.239076i | ||||
\(696\) | −7.75571 | −0.293979 | ||||||||
\(697\) | −2.63392 | −0.0997669 | ||||||||
\(698\) | −15.1341 | −0.572835 | ||||||||
\(699\) | −17.0882 | −0.646336 | ||||||||
\(700\) | −22.2006 | + | 8.97703i | −0.839102 | + | 0.339300i | ||||
\(701\) | 45.9214i | 1.73443i | 0.497936 | + | 0.867214i | \(0.334091\pi\) | ||||
−0.497936 | + | 0.867214i | \(0.665909\pi\) | |||||||
\(702\) | − | 17.3430i | − | 0.654570i | ||||||
\(703\) | 33.8266 | − | 29.0556i | 1.27580 | − | 1.09585i | ||||
\(704\) | −5.98732 | −0.225656 | ||||||||
\(705\) | −7.88793 | − | 5.31883i | −0.297077 | − | 0.200319i | ||||
\(706\) | 10.1331 | 0.381365 | ||||||||
\(707\) | 11.0355i | 0.415031i | ||||||||
\(708\) | −2.12525 | −0.0798717 | ||||||||
\(709\) | 52.6575i | 1.97759i | 0.149266 | + | 0.988797i | \(0.452309\pi\) | ||||
−0.149266 | + | 0.988797i | \(0.547691\pi\) | |||||||
\(710\) | −15.7164 | − | 10.5976i | −0.589826 | − | 0.397719i | ||||
\(711\) | − | 11.2654i | − | 0.422486i | ||||||
\(712\) | 8.45791i | 0.316974i | ||||||||
\(713\) | − | 5.66759i | − | 0.212253i | ||||||
\(714\) | −23.4861 | −0.878944 | ||||||||
\(715\) | −38.7855 | − | 26.1530i | −1.45049 | − | 0.978068i | ||||
\(716\) | 11.2829i | 0.421660i | ||||||||
\(717\) | 3.64364 | 0.136074 | ||||||||
\(718\) | 26.3685 | 0.984063 | ||||||||
\(719\) | −13.3494 | −0.497850 | −0.248925 | − | 0.968523i | \(-0.580077\pi\) | ||||
−0.248925 | + | 0.968523i | \(0.580077\pi\) | |||||||
\(720\) | −3.75222 | − | 2.53012i | −0.139837 | − | 0.0942920i | ||||
\(721\) | − | 53.5048i | − | 1.99262i | ||||||
\(722\) | 34.7424 | 1.29298 | ||||||||
\(723\) | 11.2247 | 0.417453 | ||||||||
\(724\) | 1.82697 | 0.0678989 | ||||||||
\(725\) | −36.3879 | + | 14.7138i | −1.35141 | + | 0.546458i | ||||
\(726\) | 24.5494i | 0.911115i | ||||||||
\(727\) | 13.1733 | 0.488571 | 0.244286 | − | 0.969703i | \(-0.421447\pi\) | ||||
0.244286 | + | 0.969703i | \(0.421447\pi\) | |||||||
\(728\) | 16.7345i | 0.620223i | ||||||||
\(729\) | −12.3481 | −0.457338 | ||||||||
\(730\) | 11.3192 | − | 16.7866i | 0.418943 | − | 0.621301i | ||||
\(731\) | 8.77726 | 0.324639 | ||||||||
\(732\) | −3.02900 | −0.111955 | ||||||||
\(733\) | − | 32.3264i | − | 1.19400i | −0.802241 | − | 0.597001i | \(-0.796359\pi\) | ||
0.802241 | − | 0.597001i | \(-0.203641\pi\) | |||||||
\(734\) | − | 2.21157i | − | 0.0816305i | ||||||
\(735\) | 19.6852 | − | 29.1935i | 0.726099 | − | 1.07682i | ||||
\(736\) | 1.74873 | 0.0644590 | ||||||||
\(737\) | − | 22.7292i | − | 0.837240i | ||||||
\(738\) | 1.07401 | 0.0395348 | ||||||||
\(739\) | 6.94169 | 0.255354 | 0.127677 | − | 0.991816i | \(-0.459248\pi\) | ||||
0.127677 | + | 0.991816i | \(0.459248\pi\) | |||||||
\(740\) | 1.57968 | + | 13.5094i | 0.0580701 | + | 0.496616i | ||||
\(741\) | −25.3072 | −0.929681 | ||||||||
\(742\) | 17.5405 | 0.643933 | ||||||||
\(743\) | − | 36.0784i | − | 1.32359i | −0.749685 | − | 0.661795i | \(-0.769795\pi\) | ||
0.749685 | − | 0.661795i | \(-0.230205\pi\) | |||||||
\(744\) | −3.20203 | −0.117392 | ||||||||
\(745\) | 40.1293 | + | 27.0592i | 1.47022 | + | 0.991371i | ||||
\(746\) | − | 6.08275i | − | 0.222705i | ||||||
\(747\) | 7.64382i | 0.279673i | ||||||||
\(748\) | −29.7177 | −1.08659 | ||||||||
\(749\) | 31.2175 | 1.14066 | ||||||||
\(750\) | 10.8056 | + | 2.29193i | 0.394564 | + | 0.0836896i | ||||
\(751\) | −29.9052 | −1.09126 | −0.545629 | − | 0.838027i | \(-0.683709\pi\) | ||||
−0.545629 | + | 0.838027i | \(0.683709\pi\) | |||||||
\(752\) | 4.30638i | 0.157038i | ||||||||
\(753\) | 12.6718 | 0.461787 | ||||||||
\(754\) | 27.4288i | 0.998898i | ||||||||
\(755\) | −12.0052 | − | 8.09512i | −0.436915 | − | 0.294612i | ||||
\(756\) | 23.7721 | 0.864584 | ||||||||
\(757\) | 24.9464 | 0.906693 | 0.453347 | − | 0.891334i | \(-0.350230\pi\) | ||||
0.453347 | + | 0.891334i | \(0.350230\pi\) | |||||||
\(758\) | 20.0919 | 0.729769 | ||||||||
\(759\) | − | 10.3444i | − | 0.375477i | ||||||
\(760\) | −9.16459 | + | 13.5913i | −0.332434 | + | 0.493007i | ||||
\(761\) | 11.7647 | 0.426469 | 0.213235 | − | 0.977001i | \(-0.431600\pi\) | ||||
0.213235 | + | 0.977001i | \(0.431600\pi\) | |||||||
\(762\) | −7.41999 | −0.268798 | ||||||||
\(763\) | 6.40878 | 0.232013 | ||||||||
\(764\) | − | 23.8204i | − | 0.861791i | ||||||
\(765\) | −18.6239 | − | 12.5581i | −0.673348 | − | 0.454038i | ||||
\(766\) | −11.5368 | −0.416840 | ||||||||
\(767\) | 7.51615i | 0.271392i | ||||||||
\(768\) | − | 0.987983i | − | 0.0356508i | ||||||
\(769\) | − | 26.7939i | − | 0.966214i | −0.875561 | − | 0.483107i | \(-0.839508\pi\) | ||
0.875561 | − | 0.483107i | \(-0.160492\pi\) | |||||||
\(770\) | 35.8480 | − | 53.1634i | 1.29187 | − | 1.91587i | ||||
\(771\) | − | 13.8582i | − | 0.499091i | ||||||
\(772\) | 8.40405 | 0.302468 | ||||||||
\(773\) | 2.77358i | 0.0997589i | 0.998755 | + | 0.0498794i | \(0.0158837\pi\) | ||||
−0.998755 | + | 0.0498794i | \(0.984116\pi\) | |||||||
\(774\) | −3.57901 | −0.128645 | ||||||||
\(775\) | −15.0231 | + | 6.07477i | −0.539647 | + | 0.218212i | ||||
\(776\) | −3.64747 | −0.130937 | ||||||||
\(777\) | −18.7542 | − | 21.8337i | −0.672805 | − | 0.783281i | ||||
\(778\) | − | 8.55057i | − | 0.306553i | ||||||
\(779\) | − | 3.89026i | − | 0.139383i | ||||||
\(780\) | 4.31558 | − | 6.40009i | 0.154522 | − | 0.229160i | ||||
\(781\) | 50.7556 | 1.81618 | ||||||||
\(782\) | 8.67970 | 0.310386 | ||||||||
\(783\) | 38.9638 | 1.39245 | ||||||||
\(784\) | −15.9381 | −0.569217 | ||||||||
\(785\) | 16.4628 | − | 24.4146i | 0.587581 | − | 0.871395i | ||||
\(786\) | −6.12525 | −0.218480 | ||||||||
\(787\) | − | 28.0910i | − | 1.00134i | −0.865639 | − | 0.500669i | \(-0.833088\pi\) | ||
0.865639 | − | 0.500669i | \(-0.166912\pi\) | |||||||
\(788\) | − | 4.22797i | − | 0.150615i | ||||||
\(789\) | 3.52890 | 0.125632 | ||||||||
\(790\) | 6.95848 | − | 10.3196i | 0.247572 | − | 0.367154i | ||||
\(791\) | − | 6.66246i | − | 0.236890i | ||||||
\(792\) | 12.1177 | 0.430583 | ||||||||
\(793\) | 10.7123i | 0.380407i | ||||||||
\(794\) | − | 9.84444i | − | 0.349366i | ||||||
\(795\) | −6.70833 | − | 4.52343i | −0.237920 | − | 0.160429i | ||||
\(796\) | 17.7545i | 0.629290i | ||||||||
\(797\) | 1.36472 | 0.0483407 | 0.0241704 | − | 0.999708i | \(-0.492306\pi\) | ||||
0.0241704 | + | 0.999708i | \(0.492306\pi\) | |||||||
\(798\) | − | 34.6886i | − | 1.22796i | ||||||
\(799\) | 21.3744i | 0.756173i | ||||||||
\(800\) | −1.87436 | − | 4.63538i | −0.0662688 | − | 0.163885i | ||||
\(801\) | − | 17.1179i | − | 0.604831i | ||||||
\(802\) | 31.0959i | 1.09803i | ||||||||
\(803\) | 54.2119i | 1.91310i | ||||||||
\(804\) | 3.75060 | 0.132273 | ||||||||
\(805\) | −10.4702 | + | 15.5275i | −0.369026 | + | 0.547274i | ||||
\(806\) | 11.3243i | 0.398881i | ||||||||
\(807\) | 0.453381i | 0.0159598i | ||||||||
\(808\) | −2.30416 | −0.0810600 | ||||||||
\(809\) | − | 0.636644i | − | 0.0223832i | −0.999937 | − | 0.0111916i | \(-0.996438\pi\) | ||
0.999937 | − | 0.0111916i | \(-0.00356247\pi\) | |||||||
\(810\) | 2.16506 | + | 1.45990i | 0.0760723 | + | 0.0512955i | ||||
\(811\) | 11.3776 | 0.399521 | 0.199760 | − | 0.979845i | \(-0.435984\pi\) | ||||
0.199760 | + | 0.979845i | \(0.435984\pi\) | |||||||
\(812\) | −37.5968 | −1.31939 | ||||||||
\(813\) | − | 28.5425i | − | 1.00103i | ||||||
\(814\) | −23.7304 | − | 27.6269i | −0.831748 | − | 0.968324i | ||||
\(815\) | −34.7897 | − | 23.4587i | −1.21863 | − | 0.821722i | ||||
\(816\) | − | 4.90379i | − | 0.171667i | ||||||
\(817\) | 12.9639i | 0.453549i | ||||||||
\(818\) | − | 38.3150i | − | 1.33965i | ||||||
\(819\) | − | 33.8688i | − | 1.18347i | ||||||
\(820\) | 0.983834 | + | 0.663399i | 0.0343570 | + | 0.0231669i | ||||
\(821\) | −26.1807 | −0.913711 | −0.456856 | − | 0.889541i | \(-0.651024\pi\) | ||||
−0.456856 | + | 0.889541i | \(0.651024\pi\) | |||||||
\(822\) | −8.86404 | −0.309169 | ||||||||
\(823\) | − | 21.7020i | − | 0.756485i | −0.925707 | − | 0.378242i | \(-0.876529\pi\) | ||
0.925707 | − | 0.378242i | \(-0.123471\pi\) | |||||||
\(824\) | 11.1716 | 0.389180 | ||||||||
\(825\) | −27.4200 | + | 11.0876i | −0.954642 | + | 0.386020i | ||||
\(826\) | −10.3024 | −0.358467 | ||||||||
\(827\) | 7.90798 | 0.274988 | 0.137494 | − | 0.990503i | \(-0.456095\pi\) | ||||
0.137494 | + | 0.990503i | \(0.456095\pi\) | |||||||
\(828\) | −3.53924 | −0.122997 | ||||||||
\(829\) | 21.7391i | 0.755030i | 0.926003 | + | 0.377515i | \(0.123221\pi\) | ||||
−0.926003 | + | 0.377515i | \(0.876779\pi\) | |||||||
\(830\) | −4.72148 | + | 7.00205i | −0.163885 | + | 0.243045i | ||||
\(831\) | − | 22.1785i | − | 0.769362i | ||||||
\(832\) | −3.49410 | −0.121136 | ||||||||
\(833\) | −79.1076 | −2.74092 | ||||||||
\(834\) | 4.98109i | 0.172481i | ||||||||
\(835\) | −13.3428 | − | 8.99706i | −0.461748 | − | 0.311356i | ||||
\(836\) | − | 43.8926i | − | 1.51806i | ||||||
\(837\) | 16.0866 | 0.556035 | ||||||||
\(838\) | −29.0183 | −1.00242 | ||||||||
\(839\) | 11.3258 | 0.391011 | 0.195506 | − | 0.980703i | \(-0.437365\pi\) | ||||
0.195506 | + | 0.980703i | \(0.437365\pi\) | |||||||
\(840\) | 8.77262 | + | 5.91537i | 0.302684 | + | 0.204100i | ||||
\(841\) | −32.6231 | −1.12494 | ||||||||
\(842\) | 23.6443i | 0.814835i | ||||||||
\(843\) | 5.97639 | 0.205838 | ||||||||
\(844\) | 4.57321 | 0.157417 | ||||||||
\(845\) | 1.46700 | + | 0.989199i | 0.0504664 | + | 0.0340295i | ||||
\(846\) | − | 8.71564i | − | 0.299650i | ||||||
\(847\) | 119.006i | 4.08911i | ||||||||
\(848\) | 3.66238i | 0.125767i | ||||||||
\(849\) | − | 10.7015i | − | 0.367276i | ||||||
\(850\) | −9.30328 | − | 23.0074i | −0.319100 | − | 0.789147i | ||||
\(851\) | 6.93097 | + | 8.06906i | 0.237591 | + | 0.276604i | ||||
\(852\) | 8.37532i | 0.286934i | ||||||||
\(853\) | 48.1277 | 1.64786 | 0.823930 | − | 0.566691i | \(-0.191777\pi\) | ||||
0.823930 | + | 0.566691i | \(0.191777\pi\) | |||||||
\(854\) | −14.6834 | −0.502457 | ||||||||
\(855\) | 18.5481 | − | 27.5072i | 0.634332 | − | 0.940727i | ||||
\(856\) | 6.51807i | 0.222783i | ||||||||
\(857\) | 40.0486 | 1.36803 | 0.684017 | − | 0.729466i | \(-0.260231\pi\) | ||||
0.684017 | + | 0.729466i | \(0.260231\pi\) | |||||||
\(858\) | 20.6689i | 0.705624i | ||||||||
\(859\) | 7.66509i | 0.261530i | 0.991413 | + | 0.130765i | \(0.0417433\pi\) | ||||
−0.991413 | + | 0.130765i | \(0.958257\pi\) | |||||||
\(860\) | −3.27852 | − | 2.21071i | −0.111797 | − | 0.0753844i | ||||
\(861\) | −2.51101 | −0.0855750 | ||||||||
\(862\) | − | 32.1126i | − | 1.09376i | ||||||
\(863\) | − | 50.9196i | − | 1.73332i | −0.498896 | − | 0.866662i | \(-0.666261\pi\) | ||
0.498896 | − | 0.866662i | \(-0.333739\pi\) | |||||||
\(864\) | 4.96352i | 0.168862i | ||||||||
\(865\) | 12.2438 | − | 18.1578i | 0.416302 | − | 0.617385i | ||||
\(866\) | − | 13.0575i | − | 0.443712i | ||||||
\(867\) | − | 7.54391i | − | 0.256205i | ||||||
\(868\) | −15.5222 | −0.526859 | ||||||||
\(869\) | 33.3267i | 1.13053i | ||||||||
\(870\) | 14.3788 | + | 9.69562i | 0.487487 | + | 0.328712i | ||||
\(871\) | − | 13.2644i | − | 0.449446i | ||||||
\(872\) | 1.33812i | 0.0453146i | ||||||||
\(873\) | 7.38208 | 0.249846 | ||||||||
\(874\) | 12.8198i | 0.433636i | ||||||||
\(875\) | 52.3815 | + | 11.1104i | 1.77082 | + | 0.375601i | ||||
\(876\) | −8.94565 | −0.302245 | ||||||||
\(877\) | − | 2.50813i | − | 0.0846937i | −0.999103 | − | 0.0423468i | \(-0.986517\pi\) | ||
0.999103 | − | 0.0423468i | \(-0.0134834\pi\) | |||||||
\(878\) | 28.0499i | 0.946640i | ||||||||
\(879\) | 23.0342 | 0.776925 | ||||||||
\(880\) | 11.1003 | + | 7.48491i | 0.374190 | + | 0.252316i | ||||
\(881\) | 24.0074 | 0.808829 | 0.404414 | − | 0.914576i | \(-0.367475\pi\) | ||||
0.404414 | + | 0.914576i | \(0.367475\pi\) | |||||||
\(882\) | 32.2569 | 1.08615 | ||||||||
\(883\) | −34.7959 | −1.17098 | −0.585488 | − | 0.810681i | \(-0.699097\pi\) | ||||
−0.585488 | + | 0.810681i | \(0.699097\pi\) | |||||||
\(884\) | −17.3427 | −0.583299 | ||||||||
\(885\) | 3.94014 | + | 2.65683i | 0.132446 | + | 0.0893084i | ||||
\(886\) | 6.79629i | 0.228326i | ||||||||
\(887\) | 0.672248i | 0.0225719i | 0.999936 | + | 0.0112859i | \(0.00359250\pi\) | ||||
−0.999936 | + | 0.0112859i | \(0.996408\pi\) | |||||||
\(888\) | 4.55879 | − | 3.91580i | 0.152983 | − | 0.131406i | ||||
\(889\) | −35.9693 | −1.20637 | ||||||||
\(890\) | 10.5735 | − | 15.6807i | 0.354423 | − | 0.525617i | ||||
\(891\) | −6.99198 | −0.234240 | ||||||||
\(892\) | 20.3205i | 0.680380i | ||||||||
\(893\) | −31.5698 | −1.05644 | ||||||||
\(894\) | − | 21.3850i | − | 0.715222i | ||||||
\(895\) | 14.1050 | − | 20.9180i | 0.471478 | − | 0.699212i | ||||
\(896\) | − | 4.78937i | − | 0.160002i | ||||||
\(897\) | − | 6.03681i | − | 0.201563i | ||||||
\(898\) | 17.3278i | 0.578235i | ||||||||
\(899\) | −25.4418 | −0.848531 | ||||||||
\(900\) | 3.79351 | + | 9.38150i | 0.126450 | + | 0.312717i | ||||
\(901\) | 18.1780i | 0.605597i | ||||||||
\(902\) | −3.17726 | −0.105791 | ||||||||
\(903\) | 8.36767 | 0.278459 | ||||||||
\(904\) | 1.39109 | 0.0462671 | ||||||||
\(905\) | −3.38714 | − | 2.28395i | −0.112592 | − | 0.0759210i | ||||
\(906\) | 6.39762i | 0.212547i | ||||||||
\(907\) | −36.6618 | −1.21734 | −0.608668 | − | 0.793425i | \(-0.708296\pi\) | ||||
−0.608668 | + | 0.793425i | \(0.708296\pi\) | |||||||
\(908\) | −5.74303 | −0.190589 | ||||||||
\(909\) | 4.66336 | 0.154674 | ||||||||
\(910\) | 20.9203 | − | 31.0252i | 0.693501 | − | 1.02848i | ||||
\(911\) | 20.5358i | 0.680381i | 0.940356 | + | 0.340191i | \(0.110492\pi\) | ||||
−0.940356 | + | 0.340191i | \(0.889508\pi\) | |||||||
\(912\) | 7.24283 | 0.239834 | ||||||||
\(913\) | − | 22.6129i | − | 0.748378i | ||||||
\(914\) | −3.20960 | −0.106164 | ||||||||
\(915\) | 5.61565 | + | 3.78663i | 0.185648 | + | 0.125182i | ||||
\(916\) | 23.4383 | 0.774423 | ||||||||
\(917\) | −29.6929 | −0.980546 | ||||||||
\(918\) | 24.6361i | 0.813112i | ||||||||
\(919\) | 42.3926i | 1.39840i | 0.714925 | + | 0.699202i | \(0.246461\pi\) | ||||
−0.714925 | + | 0.699202i | \(0.753539\pi\) | |||||||
\(920\) | −3.24208 | − | 2.18613i | −0.106888 | − | 0.0720747i | ||||
\(921\) | 14.0937 | 0.464403 | ||||||||
\(922\) | − | 34.0347i | − | 1.12087i | ||||||
\(923\) | 29.6201 | 0.974958 | ||||||||
\(924\) | −28.3309 | −0.932019 | ||||||||
\(925\) | 13.9598 | − | 27.0208i | 0.458997 | − | 0.888438i | ||||
\(926\) | −26.0543 | −0.856197 | ||||||||
\(927\) | −22.6100 | −0.742610 | ||||||||
\(928\) | − | 7.85004i | − | 0.257690i | ||||||
\(929\) | 1.22700 | 0.0402565 | 0.0201282 | − | 0.999797i | \(-0.493593\pi\) | ||||
0.0201282 | + | 0.999797i | \(0.493593\pi\) | |||||||
\(930\) | 5.93644 | + | 4.00294i | 0.194664 | + | 0.131262i | ||||
\(931\) | − | 116.841i | − | 3.82930i | ||||||
\(932\) | − | 17.2961i | − | 0.566551i | ||||||
\(933\) | 22.2614 | 0.728806 | ||||||||
\(934\) | 20.3289 | 0.665183 | ||||||||
\(935\) | 55.0955 | + | 37.1509i | 1.80182 | + | 1.21496i | ||||
\(936\) | 7.07167 | 0.231145 | ||||||||
\(937\) | − | 31.9456i | − | 1.04362i | −0.853063 | − | 0.521808i | \(-0.825258\pi\) | ||
0.853063 | − | 0.521808i | \(-0.174742\pi\) | |||||||
\(938\) | 18.1815 | 0.593647 | ||||||||
\(939\) | 9.87983i | 0.322416i | ||||||||
\(940\) | 5.38352 | − | 7.98388i | 0.175591 | − | 0.260405i | ||||
\(941\) | 6.72808 | 0.219329 | 0.109665 | − | 0.993969i | \(-0.465022\pi\) | ||||
0.109665 | + | 0.993969i | \(0.465022\pi\) | |||||||
\(942\) | −13.0106 | −0.423909 | ||||||||
\(943\) | 0.927990 | 0.0302195 | ||||||||
\(944\) | − | 2.15110i | − | 0.0700123i | ||||||
\(945\) | −44.0727 | − | 29.7182i | −1.43368 | − | 0.966732i | ||||
\(946\) | 10.5879 | 0.344242 | ||||||||
\(947\) | −3.77013 | −0.122513 | −0.0612564 | − | 0.998122i | \(-0.519511\pi\) | ||||
−0.0612564 | + | 0.998122i | \(0.519511\pi\) | |||||||
\(948\) | −5.49933 | −0.178610 | ||||||||
\(949\) | 31.6372i | 1.02699i | ||||||||
\(950\) | 33.9816 | − | 13.7408i | 1.10251 | − | 0.445811i | ||||
\(951\) | −12.2389 | −0.396872 | ||||||||
\(952\) | − | 23.7717i | − | 0.770446i | ||||||
\(953\) | 13.7237i | 0.444553i | 0.974984 | + | 0.222276i | \(0.0713487\pi\) | ||||
−0.974984 | + | 0.222276i | \(0.928651\pi\) | |||||||
\(954\) | − | 7.41226i | − | 0.239981i | ||||||
\(955\) | −29.7785 | + | 44.1621i | −0.963610 | + | 1.42905i | ||||
\(956\) | 3.68796i | 0.119277i | ||||||||
\(957\) | −46.4359 | −1.50106 | ||||||||
\(958\) | 6.22972i | 0.201273i | ||||||||
\(959\) | −42.9696 | −1.38756 | ||||||||
\(960\) | −1.23510 | + | 1.83168i | −0.0398628 | + | 0.0591174i | ||||
\(961\) | 20.4961 | 0.661164 | ||||||||
\(962\) | −13.8486 | − | 16.1226i | −0.446498 | − | 0.519814i | ||||
\(963\) | − | 13.1919i | − | 0.425102i | ||||||
\(964\) | 11.3613i | 0.365922i | ||||||||
\(965\) | −15.5808 | − | 10.5061i | −0.501564 | − | 0.338204i | ||||
\(966\) | 8.27467 | 0.266233 | ||||||||
\(967\) | 43.7304 | 1.40627 | 0.703137 | − | 0.711055i | \(-0.251782\pi\) | ||||
0.703137 | + | 0.711055i | \(0.251782\pi\) | |||||||
\(968\) | −24.8480 | −0.798646 | ||||||||
\(969\) | 35.9493 | 1.15486 | ||||||||
\(970\) | 6.76228 | + | 4.55980i | 0.217124 | + | 0.146406i | ||||
\(971\) | 36.2807 | 1.16430 | 0.582151 | − | 0.813081i | \(-0.302211\pi\) | ||||
0.582151 | + | 0.813081i | \(0.302211\pi\) | |||||||
\(972\) | − | 16.0443i | − | 0.514622i | ||||||
\(973\) | 24.1465i | 0.774100i | ||||||||
\(974\) | 30.5352 | 0.978410 | ||||||||
\(975\) | −16.0018 | + | 6.47051i | −0.512469 | + | 0.207222i | ||||
\(976\) | − | 3.06584i | − | 0.0981351i | ||||||
\(977\) | 29.6513 | 0.948628 | 0.474314 | − | 0.880356i | \(-0.342696\pi\) | ||||
0.474314 | + | 0.880356i | \(0.342696\pi\) | |||||||
\(978\) | 18.5396i | 0.592829i | ||||||||
\(979\) | 50.6402i | 1.61847i | ||||||||
\(980\) | 29.5486 | + | 19.9246i | 0.943896 | + | 0.636469i | ||||
\(981\) | − | 2.70822i | − | 0.0864667i | ||||||
\(982\) | −24.5944 | −0.784839 | ||||||||
\(983\) | 42.0082i | 1.33985i | 0.742427 | + | 0.669927i | \(0.233675\pi\) | ||||
−0.742427 | + | 0.669927i | \(0.766325\pi\) | |||||||
\(984\) | − | 0.524288i | − | 0.0167137i | ||||||
\(985\) | −5.28550 | + | 7.83850i | −0.168410 | + | 0.249755i | ||||
\(986\) | − | 38.9632i | − | 1.24084i | ||||||
\(987\) | 20.3770i | 0.648607i | ||||||||
\(988\) | − | 25.6150i | − | 0.814921i | ||||||
\(989\) | −3.09243 | −0.0983334 | ||||||||
\(990\) | −22.4657 | − | 15.1486i | −0.714008 | − | 0.481455i | ||||
\(991\) | 20.7399i | 0.658824i | 0.944186 | + | 0.329412i | \(0.106851\pi\) | ||||
−0.944186 | + | 0.329412i | \(0.893149\pi\) | |||||||
\(992\) | − | 3.24097i | − | 0.102901i | ||||||
\(993\) | −18.7784 | −0.595915 | ||||||||
\(994\) | 40.6004i | 1.28777i | ||||||||
\(995\) | 22.1953 | − | 32.9161i | 0.703639 | − | 1.04351i | ||||
\(996\) | 3.73141 | 0.118234 | ||||||||
\(997\) | 16.0224 | 0.507435 | 0.253718 | − | 0.967278i | \(-0.418347\pi\) | ||||
0.253718 | + | 0.967278i | \(0.418347\pi\) | |||||||
\(998\) | 33.5739i | 1.06276i | ||||||||
\(999\) | −22.9029 | + | 19.6726i | −0.724614 | + | 0.622413i |
(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 | 370.2.c.a.369.4 | ✓ | 10 | |
3.2 | odd | 2 | 3330.2.e.d.739.10 | 10 | |||
5.2 | odd | 4 | 1850.2.d.i.1701.4 | 20 | |||
5.3 | odd | 4 | 1850.2.d.i.1701.17 | 20 | |||
5.4 | even | 2 | 370.2.c.b.369.7 | yes | 10 | ||
15.14 | odd | 2 | 3330.2.e.c.739.2 | 10 | |||
37.36 | even | 2 | 370.2.c.b.369.4 | yes | 10 | ||
111.110 | odd | 2 | 3330.2.e.c.739.1 | 10 | |||
185.73 | odd | 4 | 1850.2.d.i.1701.7 | 20 | |||
185.147 | odd | 4 | 1850.2.d.i.1701.14 | 20 | |||
185.184 | even | 2 | inner | 370.2.c.a.369.7 | yes | 10 | |
555.554 | odd | 2 | 3330.2.e.d.739.9 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.c.a.369.4 | ✓ | 10 | 1.1 | even | 1 | trivial | |
370.2.c.a.369.7 | yes | 10 | 185.184 | even | 2 | inner | |
370.2.c.b.369.4 | yes | 10 | 37.36 | even | 2 | ||
370.2.c.b.369.7 | yes | 10 | 5.4 | even | 2 | ||
1850.2.d.i.1701.4 | 20 | 5.2 | odd | 4 | |||
1850.2.d.i.1701.7 | 20 | 185.73 | odd | 4 | |||
1850.2.d.i.1701.14 | 20 | 185.147 | odd | 4 | |||
1850.2.d.i.1701.17 | 20 | 5.3 | odd | 4 | |||
3330.2.e.c.739.1 | 10 | 111.110 | odd | 2 | |||
3330.2.e.c.739.2 | 10 | 15.14 | odd | 2 | |||
3330.2.e.d.739.9 | 10 | 555.554 | odd | 2 | |||
3330.2.e.d.739.10 | 10 | 3.2 | odd | 2 |