Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [640,2,Mod(223,640)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(640, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("640.223");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 640 = 2^{7} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 640.s (of order \(4\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.11042572936\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(9\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 2 x^{16} - 4 x^{15} - 5 x^{14} - 14 x^{13} - 10 x^{12} + 6 x^{11} + 37 x^{10} + 70 x^{9} + \cdots + 512 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{17}]\) |
Coefficient ring index: | \( 2^{13} \) |
Twist minimal: | no (minimal twist has level 80) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 223.8 | ||
Root | \(0.0376504 - 1.41371i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 640.223 |
Dual form | 640.2.s.d.287.8 |
$q$-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 \(\left(\mathbb{Z}/640\mathbb{Z}\right)^\times\).
\(n\) | \(257\) | \(261\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 2.55161 | 1.47317 | 0.736586 | − | 0.676344i | \(-0.236437\pi\) | ||||
0.736586 | + | 0.676344i | \(0.236437\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.49107 | + | 1.66635i | −0.666825 | + | 0.745214i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.40368 | − | 2.40368i | 0.908504 | − | 0.908504i | −0.0876474 | − | 0.996152i | \(-0.527935\pi\) |
0.996152 | + | 0.0876474i | \(0.0279349\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 3.51070 | 1.17023 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.67707 | + | 2.67707i | 0.807167 | + | 0.807167i | 0.984204 | − | 0.177037i | \(-0.0566513\pi\) |
−0.177037 | + | 0.984204i | \(0.556651\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.40164i | 0.666094i | 0.942910 | + | 0.333047i | \(0.108077\pi\) | ||||
−0.942910 | + | 0.333047i | \(0.891923\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −3.80462 | + | 4.25187i | −0.982348 | + | 1.09783i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.0750544 | + | 0.0750544i | −0.0182034 | + | 0.0182034i | −0.716150 | − | 0.697947i | \(-0.754097\pi\) |
0.697947 | + | 0.716150i | \(0.254097\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.67236 | − | 2.67236i | −0.613081 | − | 0.613081i | 0.330666 | − | 0.943748i | \(-0.392726\pi\) |
−0.943748 | + | 0.330666i | \(0.892726\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 6.13324 | − | 6.13324i | 1.33838 | − | 1.33838i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.12375 | + | 2.12375i | 0.442833 | + | 0.442833i | 0.892963 | − | 0.450130i | \(-0.148622\pi\) |
−0.450130 | + | 0.892963i | \(0.648622\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.553442 | − | 4.96928i | −0.110688 | − | 0.993855i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.30310 | 0.250783 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.95795 | − | 3.95795i | 0.734974 | − | 0.734974i | −0.236627 | − | 0.971601i | \(-0.576042\pi\) |
0.971601 | + | 0.236627i | \(0.0760419\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.65367i | 0.297008i | 0.988912 | + | 0.148504i | \(0.0474458\pi\) | ||||
−0.988912 | + | 0.148504i | \(0.952554\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 6.83083 | + | 6.83083i | 1.18909 | + | 1.18909i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.421324 | + | 7.58941i | 0.0712168 | + | 1.28284i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | − | 2.53082i | − | 0.416064i | −0.978122 | − | 0.208032i | \(-0.933294\pi\) | ||
0.978122 | − | 0.208032i | \(-0.0667059\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 6.12803i | 0.981271i | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 1.70882i | − | 0.266873i | −0.991057 | − | 0.133436i | \(-0.957399\pi\) | ||
0.991057 | − | 0.133436i | \(-0.0426012\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.84601i | 0.586510i | 0.956034 | + | 0.293255i | \(0.0947386\pi\) | ||||
−0.956034 | + | 0.293255i | \(0.905261\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −5.23469 | + | 5.85005i | −0.780341 | + | 0.872074i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 2.15264 | + | 2.15264i | 0.313995 | + | 0.313995i | 0.846455 | − | 0.532460i | \(-0.178732\pi\) |
−0.532460 | + | 0.846455i | \(0.678732\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 4.55532i | − | 0.650760i | ||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.191509 | + | 0.191509i | −0.0268167 | + | 0.0268167i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 1.29475 | 0.177848 | 0.0889239 | − | 0.996038i | \(-0.471657\pi\) | ||||
0.0889239 | + | 0.996038i | \(0.471657\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −8.45262 | + | 0.469246i | −1.13975 | + | 0.0632731i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −6.81881 | − | 6.81881i | −0.903174 | − | 0.903174i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −5.29614 | + | 5.29614i | −0.689499 | + | 0.689499i | −0.962121 | − | 0.272622i | \(-0.912109\pi\) |
0.272622 | + | 0.962121i | \(0.412109\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −10.2413 | − | 10.2413i | −1.31126 | − | 1.31126i | −0.920484 | − | 0.390780i | \(-0.872205\pi\) |
−0.390780 | − | 0.920484i | \(-0.627795\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 8.43858 | − | 8.43858i | 1.06316 | − | 1.06316i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −4.00197 | − | 3.58100i | −0.496383 | − | 0.444168i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 10.6230i | − | 1.29780i | −0.760873 | − | 0.648901i | \(-0.775229\pi\) | ||
0.760873 | − | 0.648901i | \(-0.224771\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 5.41898 | + | 5.41898i | 0.652369 | + | 0.652369i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 2.27322 | 0.269781 | 0.134891 | − | 0.990860i | \(-0.456932\pi\) | ||||
0.134891 | + | 0.990860i | \(0.456932\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −9.99096 | + | 9.99096i | −1.16935 | + | 1.16935i | −0.186992 | + | 0.982361i | \(0.559874\pi\) |
−0.982361 | + | 0.186992i | \(0.940126\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.41217 | − | 12.6796i | −0.163063 | − | 1.46412i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 12.8696 | 1.46663 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −8.70617 | −0.979520 | −0.489760 | − | 0.871857i | \(-0.662916\pi\) | ||||
−0.489760 | + | 0.871857i | \(0.662916\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −7.20709 | −0.800787 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −11.1310 | −1.22178 | −0.610890 | − | 0.791715i | \(-0.709188\pi\) | ||||
−0.610890 | + | 0.791715i | \(0.709188\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.0131558 | − | 0.236978i | −0.00142695 | − | 0.0257039i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 10.0991 | − | 10.0991i | 1.08274 | − | 1.08274i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 15.6390 | 1.65773 | 0.828866 | − | 0.559447i | \(-0.188986\pi\) | ||||
0.828866 | + | 0.559447i | \(0.188986\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 5.77276 | + | 5.77276i | 0.605149 | + | 0.605149i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 4.21952i | 0.437544i | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 8.43775 | − | 0.468420i | 0.865695 | − | 0.0480589i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5.00672 | − | 5.00672i | 0.508355 | − | 0.508355i | −0.405666 | − | 0.914021i | \(-0.632960\pi\) |
0.914021 | + | 0.405666i | \(0.132960\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 9.39839 | + | 9.39839i | 0.944573 | + | 0.944573i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −6.37101 | + | 6.37101i | −0.633939 | + | 0.633939i | −0.949054 | − | 0.315115i | \(-0.897957\pi\) |
0.315115 | + | 0.949054i | \(0.397957\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.93695 | − | 1.93695i | −0.190854 | − | 0.190854i | 0.605211 | − | 0.796065i | \(-0.293089\pi\) |
−0.796065 | + | 0.605211i | \(0.793089\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 1.07505 | + | 19.3652i | 0.104915 | + | 1.88985i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −6.97778 | −0.674568 | −0.337284 | − | 0.941403i | \(-0.609508\pi\) | ||||
−0.337284 | + | 0.941403i | \(0.609508\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.277748 | + | 0.277748i | −0.0266034 | + | 0.0266034i | −0.720283 | − | 0.693680i | \(-0.755988\pi\) |
0.693680 | + | 0.720283i | \(0.255988\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | − | 6.45766i | − | 0.612934i | ||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −8.75577 | − | 8.75577i | −0.823674 | − | 0.823674i | 0.162959 | − | 0.986633i | \(-0.447896\pi\) |
−0.986633 | + | 0.162959i | \(0.947896\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −6.70557 | + | 0.372258i | −0.625298 | + | 0.0347133i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 8.43142i | 0.779485i | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.360813i | 0.0330757i | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.33340i | 0.303036i | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | − | 4.36024i | − | 0.393149i | ||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 9.10577 | + | 6.48729i | 0.814445 | + | 0.580241i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.679502 | − | 0.679502i | −0.0602961 | − | 0.0602961i | 0.676316 | − | 0.736612i | \(-0.263576\pi\) |
−0.736612 | + | 0.676316i | \(0.763576\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 9.81350i | 0.864030i | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 5.43859 | − | 5.43859i | 0.475172 | − | 0.475172i | −0.428412 | − | 0.903584i | \(-0.640927\pi\) |
0.903584 | + | 0.428412i | \(0.140927\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −12.8470 | −1.11397 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −1.94302 | + | 2.17143i | −0.167228 | + | 0.186887i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −7.47496 | − | 7.47496i | −0.638629 | − | 0.638629i | 0.311588 | − | 0.950217i | \(-0.399139\pi\) |
−0.950217 | + | 0.311588i | \(0.899139\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 11.5307 | − | 11.5307i | 0.978023 | − | 0.978023i | −0.0217404 | − | 0.999764i | \(-0.506921\pi\) |
0.999764 | + | 0.0217404i | \(0.00692074\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 5.49270 | + | 5.49270i | 0.462568 | + | 0.462568i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −6.42935 | + | 6.42935i | −0.537649 | + | 0.537649i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.693763 | + | 12.4969i | 0.0576139 | + | 1.03781i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | − | 11.6234i | − | 0.958680i | ||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −5.51174 | − | 5.51174i | −0.451539 | − | 0.451539i | 0.444326 | − | 0.895865i | \(-0.353443\pi\) |
−0.895865 | + | 0.444326i | \(0.853443\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.13617 | −0.336597 | −0.168299 | − | 0.985736i | \(-0.553827\pi\) | ||||
−0.168299 | + | 0.985736i | \(0.553827\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.263494 | + | 0.263494i | −0.0213022 | + | 0.0213022i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −2.75559 | − | 2.46573i | −0.221335 | − | 0.198052i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −20.2700 | −1.61772 | −0.808861 | − | 0.587999i | \(-0.799916\pi\) | ||||
−0.808861 | + | 0.587999i | \(0.799916\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 3.30370 | 0.262000 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 10.2096 | 0.804631 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 13.1835 | 1.03262 | 0.516308 | − | 0.856403i | \(-0.327306\pi\) | ||||
0.516308 | + | 0.856403i | \(0.327306\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −21.5678 | + | 1.19733i | −1.67905 | + | 0.0932121i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −11.8190 | + | 11.8190i | −0.914585 | + | 0.914585i | −0.996629 | − | 0.0820441i | \(-0.973855\pi\) |
0.0820441 | + | 0.996629i | \(0.473855\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 7.23214 | 0.556319 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −9.38185 | − | 9.38185i | −0.717448 | − | 0.717448i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | − | 15.5763i | − | 1.18424i | −0.805849 | − | 0.592120i | \(-0.798291\pi\) | ||
0.805849 | − | 0.592120i | \(-0.201709\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −13.2748 | − | 10.6142i | −1.00348 | − | 0.802361i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −13.5137 | + | 13.5137i | −1.01575 | + | 1.01575i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 15.5963 | + | 15.5963i | 1.16572 | + | 1.16572i | 0.983202 | + | 0.182523i | \(0.0584265\pi\) |
0.182523 | + | 0.983202i | \(0.441574\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2.98705 | + | 2.98705i | −0.222026 | + | 0.222026i | −0.809351 | − | 0.587325i | \(-0.800181\pi\) |
0.587325 | + | 0.809351i | \(0.300181\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −26.1318 | − | 26.1318i | −1.93172 | − | 1.93172i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 4.21723 | + | 3.77362i | 0.310057 | + | 0.277442i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.401852 | −0.0293863 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 3.13224 | − | 3.13224i | 0.227837 | − | 0.227837i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | − | 6.47168i | − | 0.468274i | −0.972204 | − | 0.234137i | \(-0.924774\pi\) | ||
0.972204 | − | 0.234137i | \(-0.0752264\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −11.1131 | − | 11.1131i | −0.799936 | − | 0.799936i | 0.183149 | − | 0.983085i | \(-0.441371\pi\) |
−0.983085 | + | 0.183149i | \(0.941371\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −10.2114 | − | 9.13730i | −0.731257 | − | 0.654336i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 25.0927i | − | 1.78778i | −0.448288 | − | 0.893889i | \(-0.647966\pi\) | ||
0.448288 | − | 0.893889i | \(-0.352034\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 18.7579i | 1.32972i | 0.746970 | + | 0.664858i | \(0.231508\pi\) | ||||
−0.746970 | + | 0.664858i | \(0.768492\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | − | 27.1056i | − | 1.91188i | ||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | − | 19.0273i | − | 1.33545i | ||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.84749 | + | 2.54796i | 0.198877 | + | 0.177958i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 7.45586 | + | 7.45586i | 0.518218 | + | 0.518218i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | − | 14.3082i | − | 0.989718i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.38863 | + | 6.38863i | −0.439811 | + | 0.439811i | −0.891948 | − | 0.452137i | \(-0.850662\pi\) |
0.452137 | + | 0.891948i | \(0.350662\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 5.80036 | 0.397434 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −6.40879 | − | 5.73465i | −0.437076 | − | 0.391100i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 3.97489 | + | 3.97489i | 0.269833 | + | 0.269833i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −25.4930 | + | 25.4930i | −1.72266 | + | 1.72266i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −0.180253 | − | 0.180253i | −0.0121252 | − | 0.0121252i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −4.29779 | + | 4.29779i | −0.287801 | + | 0.287801i | −0.836210 | − | 0.548409i | \(-0.815234\pi\) |
0.548409 | + | 0.836210i | \(0.315234\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −1.94297 | − | 17.4456i | −0.129531 | − | 1.16304i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 29.1029i | 1.93163i | 0.259241 | + | 0.965813i | \(0.416528\pi\) | ||||
−0.259241 | + | 0.965813i | \(0.583472\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 18.3405 | + | 18.3405i | 1.21198 | + | 1.21198i | 0.970376 | + | 0.241600i | \(0.0776721\pi\) |
0.241600 | + | 0.970376i | \(0.422328\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 32.8382 | 2.16060 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 1.46663 | − | 1.46663i | 0.0960824 | − | 0.0960824i | −0.657432 | − | 0.753514i | \(-0.728357\pi\) |
0.753514 | + | 0.657432i | \(0.228357\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −6.79678 | + | 0.377322i | −0.443373 | + | 0.0246138i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −22.2147 | −1.44300 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 12.5432 | 0.811352 | 0.405676 | − | 0.914017i | \(-0.367036\pi\) | ||||
0.405676 | + | 0.914017i | \(0.367036\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 14.8870 | 0.958954 | 0.479477 | − | 0.877554i | \(-0.340826\pi\) | ||||
0.479477 | + | 0.877554i | \(0.340826\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −22.2990 | −1.43048 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 7.59075 | + | 6.79228i | 0.484955 | + | 0.433943i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 6.41803 | − | 6.41803i | 0.408370 | − | 0.408370i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −28.4018 | −1.79989 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 5.38459 | + | 5.38459i | 0.339872 | + | 0.339872i | 0.856319 | − | 0.516447i | \(-0.172746\pi\) |
−0.516447 | + | 0.856319i | \(0.672746\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 11.3709i | 0.714880i | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.0335684 | − | 0.604675i | −0.00210214 | − | 0.0378662i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −3.88657 | + | 3.88657i | −0.242437 | + | 0.242437i | −0.817858 | − | 0.575420i | \(-0.804838\pi\) |
0.575420 | + | 0.817858i | \(0.304838\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −6.08327 | − | 6.08327i | −0.377996 | − | 0.377996i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 13.8952 | − | 13.8952i | 0.860090 | − | 0.860090i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 16.9658 | + | 16.9658i | 1.04615 | + | 1.04615i | 0.998882 | + | 0.0472716i | \(0.0150526\pi\) |
0.0472716 | + | 0.998882i | \(0.484947\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.93056 | + | 2.15751i | −0.118593 | + | 0.132535i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 39.9046 | 2.44212 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −2.55482 | + | 2.55482i | −0.155770 | + | 0.155770i | −0.780689 | − | 0.624919i | \(-0.785132\pi\) |
0.624919 | + | 0.780689i | \(0.285132\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.33684i | 0.202698i | 0.994851 | + | 0.101349i | \(0.0323159\pi\) | ||||
−0.994851 | + | 0.101349i | \(0.967684\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 14.7298 | + | 14.7298i | 0.891488 | + | 0.891488i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 11.8215 | − | 14.7847i | 0.712863 | − | 0.891551i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 4.60736i | 0.276830i | 0.990374 | + | 0.138415i | \(0.0442007\pi\) | ||||
−0.990374 | + | 0.138415i | \(0.955799\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 5.80554i | 0.347569i | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 22.1178i | 1.31944i | 0.751513 | + | 0.659718i | \(0.229324\pi\) | ||||
−0.751513 | + | 0.659718i | \(0.770676\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 10.8629i | 0.645734i | 0.946444 | + | 0.322867i | \(0.104647\pi\) | ||||
−0.946444 | + | 0.322867i | \(0.895353\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 21.5298 | − | 1.19522i | 1.27532 | − | 0.0707990i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −4.10745 | − | 4.10745i | −0.242455 | − | 0.242455i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 16.9887i | 0.999337i | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 12.7752 | − | 12.7752i | 0.748895 | − | 0.748895i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 18.4067 | 1.07533 | 0.537665 | − | 0.843159i | \(-0.319307\pi\) | ||||
0.537665 | + | 0.843159i | \(0.319307\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.928326 | − | 16.7221i | −0.0540492 | − | 0.973600i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 3.48850 | + | 3.48850i | 0.202423 | + | 0.202423i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −5.10048 | + | 5.10048i | −0.294968 | + | 0.294968i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 9.24455 | + | 9.24455i | 0.532847 | + | 0.532847i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −16.2563 | + | 16.2563i | −0.933900 | + | 0.933900i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 32.3360 | − | 1.79513i | 1.85156 | − | 0.102789i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 6.60872i | − | 0.377180i | −0.982056 | − | 0.188590i | \(-0.939608\pi\) | ||
0.982056 | − | 0.188590i | \(-0.0603917\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −4.94234 | − | 4.94234i | −0.281160 | − | 0.281160i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −0.606102 | −0.0343689 | −0.0171845 | − | 0.999852i | \(-0.505470\pi\) | ||||
−0.0171845 | + | 0.999852i | \(0.505470\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 19.3708 | − | 19.3708i | 1.09490 | − | 1.09490i | 0.0999032 | − | 0.994997i | \(-0.468147\pi\) |
0.994997 | − | 0.0999032i | \(-0.0318533\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 1.47914 | + | 26.6441i | 0.0833403 | + | 1.50123i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 7.04328 | 0.395590 | 0.197795 | − | 0.980243i | \(-0.436622\pi\) | ||||
0.197795 | + | 0.980243i | \(0.436622\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 21.1914 | 1.18649 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −17.8046 | −0.993753 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0.401145 | 0.0223203 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 11.9344 | − | 1.32917i | 0.662001 | − | 0.0737290i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −0.708703 | + | 0.708703i | −0.0391914 | + | 0.0391914i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 10.3485 | 0.570532 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 13.2275 | + | 13.2275i | 0.727047 | + | 0.727047i | 0.970031 | − | 0.242983i | \(-0.0781260\pi\) |
−0.242983 | + | 0.970031i | \(0.578126\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | − | 8.88495i | − | 0.486892i | ||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 17.7016 | + | 15.8395i | 0.967140 | + | 0.865407i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 7.73287 | − | 7.73287i | 0.421236 | − | 0.421236i | −0.464393 | − | 0.885629i | \(-0.653727\pi\) |
0.885629 | + | 0.464393i | \(0.153727\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −22.3413 | − | 22.3413i | −1.21341 | − | 1.21341i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −4.42699 | + | 4.42699i | −0.239735 | + | 0.239735i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 5.87623 | + | 5.87623i | 0.317286 | + | 0.317286i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −17.1100 | + | 0.949857i | −0.921170 | + | 0.0511386i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 11.3945 | 0.611691 | 0.305845 | − | 0.952081i | \(-0.401061\pi\) | ||||
0.305845 | + | 0.952081i | \(0.401061\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 12.0508 | − | 12.0508i | 0.645066 | − | 0.645066i | −0.306730 | − | 0.951796i | \(-0.599235\pi\) |
0.951796 | + | 0.306730i | \(0.0992350\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3.12958i | 0.167045i | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −6.47876 | − | 6.47876i | −0.344830 | − | 0.344830i | 0.513350 | − | 0.858179i | \(-0.328404\pi\) |
−0.858179 | + | 0.513350i | \(0.828404\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.38952 | + | 3.78798i | −0.179897 | + | 0.201045i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.920653i | 0.0487261i | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 3.25098i | 0.171580i | 0.996313 | + | 0.0857902i | \(0.0273415\pi\) | ||||
−0.996313 | + | 0.0857902i | \(0.972659\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | − | 4.71699i | − | 0.248263i | ||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 8.50553i | 0.446424i | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −1.75125 | − | 31.5456i | −0.0916646 | − | 1.65117i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −12.7038 | − | 12.7038i | −0.663132 | − | 0.663132i | 0.292985 | − | 0.956117i | \(-0.405351\pi\) |
−0.956117 | + | 0.292985i | \(0.905351\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | − | 5.99916i | − | 0.312304i | ||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 3.11216 | − | 3.11216i | 0.161575 | − | 0.161575i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −21.9761 | −1.13788 | −0.568939 | − | 0.822379i | \(-0.692646\pi\) | ||||
−0.568939 | + | 0.822379i | \(0.692646\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 23.2343 | + | 16.5530i | 1.19982 | + | 0.854794i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 9.50557 | + | 9.50557i | 0.489562 | + | 0.489562i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 17.0642 | − | 17.0642i | 0.876527 | − | 0.876527i | −0.116646 | − | 0.993174i | \(-0.537214\pi\) |
0.993174 | + | 0.116646i | \(0.0372144\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −1.73382 | − | 1.73382i | −0.0888264 | − | 0.0888264i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −0.228058 | + | 0.228058i | −0.0116532 | + | 0.0116532i | −0.712909 | − | 0.701256i | \(-0.752623\pi\) |
0.701256 | + | 0.712909i | \(0.252623\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −19.1894 | + | 21.4453i | −0.977985 | + | 1.09295i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 13.5022i | 0.686354i | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 14.3036 | + | 14.3036i | 0.725221 | + | 0.725221i | 0.969664 | − | 0.244443i | \(-0.0786050\pi\) |
−0.244443 | + | 0.969664i | \(0.578605\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.318794 | −0.0161221 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 13.8771 | − | 13.8771i | 0.700009 | − | 0.700009i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 12.9815 | − | 14.5075i | 0.653169 | − | 0.729953i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −5.11618 | −0.256774 | −0.128387 | − | 0.991724i | \(-0.540980\pi\) | ||||
−0.128387 | + | 0.991724i | \(0.540980\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −32.7804 | −1.64107 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −16.2837 | −0.813170 | −0.406585 | − | 0.913613i | \(-0.633281\pi\) | ||||
−0.406585 | + | 0.913613i | \(0.633281\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.97152 | −0.197835 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 10.7462 | − | 12.0095i | 0.533985 | − | 0.596758i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 6.77518 | − | 6.77518i | 0.335833 | − | 0.335833i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −17.4256 | −0.861640 | −0.430820 | − | 0.902438i | \(-0.641776\pi\) | ||||
−0.430820 | + | 0.902438i | \(0.641776\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −19.0732 | − | 19.0732i | −0.940810 | − | 0.940810i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 25.4604i | 1.25283i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 16.5970 | − | 18.5481i | 0.814714 | − | 0.910488i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 29.4219 | − | 29.4219i | 1.44080 | − | 1.44080i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 11.7257 | + | 11.7257i | 0.572837 | + | 0.572837i | 0.932920 | − | 0.360083i | \(-0.117252\pi\) |
−0.360083 | + | 0.932920i | \(0.617252\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 23.5406 | − | 23.5406i | 1.14730 | − | 1.14730i | 0.160216 | − | 0.987082i | \(-0.448781\pi\) |
0.987082 | − | 0.160216i | \(-0.0512191\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 7.55728 | + | 7.55728i | 0.367447 | + | 0.367447i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0.414505 | + | 0.331428i | 0.0201064 | + | 0.0160766i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −49.2335 | −2.38258 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −16.4052 | + | 16.4052i | −0.792049 | + | 0.792049i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 35.0243i | 1.68706i | 0.537079 | + | 0.843532i | \(0.319528\pi\) | ||||
−0.537079 | + | 0.843532i | \(0.680472\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 10.1094 | + | 10.1094i | 0.485828 | + | 0.485828i | 0.906987 | − | 0.421159i | \(-0.138376\pi\) |
−0.421159 | + | 0.906987i | \(0.638376\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.77021 | + | 31.8872i | 0.0848752 | + | 1.52887i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | − | 11.3509i | − | 0.542985i | ||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 22.6071i | − | 1.07898i | −0.841993 | − | 0.539488i | \(-0.818618\pi\) | ||
0.841993 | − | 0.539488i | \(-0.181382\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | − | 15.9923i | − | 0.761540i | ||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 10.9178i | 0.518721i | 0.965781 | + | 0.259360i | \(0.0835118\pi\) | ||||
−0.965781 | + | 0.259360i | \(0.916488\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −23.3188 | + | 26.0601i | −1.10542 | + | 1.23537i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −14.0638 | − | 14.0638i | −0.665195 | − | 0.665195i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 28.8112i | 1.35969i | 0.733358 | + | 0.679843i | \(0.237952\pi\) | ||||
−0.733358 | + | 0.679843i | \(0.762048\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 4.57463 | − | 4.57463i | 0.215411 | − | 0.215411i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −10.5539 | −0.495865 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −18.2270 | + | 1.01187i | −0.854495 | + | 0.0474371i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −19.1653 | − | 19.1653i | −0.896513 | − | 0.896513i | 0.0986128 | − | 0.995126i | \(-0.468559\pi\) |
−0.995126 | + | 0.0986128i | \(0.968559\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −0.0978038 | + | 0.0978038i | −0.00456509 | + | 0.00456509i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −4.43227 | − | 4.43227i | −0.206431 | − | 0.206431i | 0.596317 | − | 0.802749i | \(-0.296630\pi\) |
−0.802749 | + | 0.596317i | \(0.796630\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 20.1518 | − | 20.1518i | 0.936534 | − | 0.936534i | −0.0615691 | − | 0.998103i | \(-0.519610\pi\) |
0.998103 | + | 0.0615691i | \(0.0196105\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −7.03120 | − | 6.29158i | −0.326064 | − | 0.291765i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | − | 3.89858i | − | 0.180405i | −0.995923 | − | 0.0902025i | \(-0.971249\pi\) | ||
0.995923 | − | 0.0902025i | \(-0.0287514\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −25.5342 | − | 25.5342i | −1.17906 | − | 1.17906i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −51.7211 | −2.38318 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −10.2960 | + | 10.2960i | −0.473412 | + | 0.473412i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −11.8007 | + | 14.7587i | −0.541453 | + | 0.677175i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 4.54548 | 0.208123 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 9.85299 | 0.450194 | 0.225097 | − | 0.974336i | \(-0.427730\pi\) | ||||
0.225097 | + | 0.974336i | \(0.427730\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 6.07811 | 0.277138 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 26.0510 | 1.18536 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0.877595 | + | 15.8083i | 0.0398495 | + | 0.717818i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −13.9164 | + | 13.9164i | −0.630611 | + | 0.630611i | −0.948221 | − | 0.317610i | \(-0.897120\pi\) |
0.317610 | + | 0.948221i | \(0.397120\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 33.6392 | 1.52122 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −2.39213 | − | 2.39213i | −0.107955 | − | 0.107955i | 0.651066 | − | 0.759021i | \(-0.274322\pi\) |
−0.759021 | + | 0.651066i | \(0.774322\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.594124i | 0.0267580i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −29.6746 | + | 1.64738i | −1.33377 | + | 0.0740443i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 5.46408 | − | 5.46408i | 0.245098 | − | 0.245098i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 9.87034 | + | 9.87034i | 0.441857 | + | 0.441857i | 0.892636 | − | 0.450779i | \(-0.148854\pi\) |
−0.450779 | + | 0.892636i | \(0.648854\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −30.1575 | + | 30.1575i | −1.34734 | + | 1.34734i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 9.29035 | + | 9.29035i | 0.414236 | + | 0.414236i | 0.883211 | − | 0.468975i | \(-0.155377\pi\) |
−0.468975 | + | 0.883211i | \(0.655377\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.11673 | − | 20.1159i | −0.0496939 | − | 0.895146i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 18.4536 | 0.819553 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 6.53818 | − | 6.53818i | 0.289800 | − | 0.289800i | −0.547201 | − | 0.837001i | \(-0.684307\pi\) |
0.837001 | + | 0.547201i | \(0.184307\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 48.0301i | 2.12473i | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −3.48236 | − | 3.48236i | −0.153750 | − | 0.153750i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 6.11577 | − | 0.339516i | 0.269493 | − | 0.0149608i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 11.5255i | 0.506893i | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 39.7445i | − | 1.74459i | ||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − | 14.2961i | − | 0.626324i | −0.949700 | − | 0.313162i | \(-0.898612\pi\) | ||
0.949700 | − | 0.313162i | \(-0.101388\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 16.0319i | − | 0.701027i | −0.936558 | − | 0.350513i | \(-0.886007\pi\) | ||
0.936558 | − | 0.350513i | \(-0.113993\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −33.8721 | − | 27.0834i | −1.47830 | − | 1.18201i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −0.124115 | − | 0.124115i | −0.00540655 | − | 0.00540655i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 13.9794i | − | 0.607798i | ||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −18.5932 | + | 18.5932i | −0.806875 | + | 0.806875i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 4.10397 | 0.177762 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 10.4043 | − | 11.6274i | 0.449819 | − | 0.502697i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 39.7957 | + | 39.7957i | 1.71731 | + | 1.71731i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 12.1949 | − | 12.1949i | 0.525271 | − | 0.525271i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 14.3926 | + | 14.3926i | 0.618785 | + | 0.618785i | 0.945220 | − | 0.326435i | \(-0.105847\pi\) |
−0.326435 | + | 0.945220i | \(0.605847\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −7.62178 | + | 7.62178i | −0.327082 | + | 0.327082i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −0.0486846 | − | 0.876965i | −0.00208542 | − | 0.0375651i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 11.6741i | − | 0.499148i | −0.968356 | − | 0.249574i | \(-0.919709\pi\) | ||
0.968356 | − | 0.249574i | \(-0.0802905\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −35.9541 | − | 35.9541i | −1.53448 | − | 1.53448i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −21.1541 | −0.901197 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −20.9268 | + | 20.9268i | −0.889898 | + | 0.889898i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 10.7607 | + | 9.62880i | 0.456767 | + | 0.408720i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 39.6712 | 1.68092 | 0.840460 | − | 0.541873i | \(-0.182285\pi\) | ||||
0.840460 | + | 0.541873i | \(0.182285\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −9.23671 | −0.390671 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −1.02537 | −0.0432911 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 12.4534 | 0.524850 | 0.262425 | − | 0.964952i | \(-0.415478\pi\) | ||||
0.262425 | + | 0.964952i | \(0.415478\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 27.6456 | − | 1.53474i | 1.16306 | − | 0.0645671i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −17.3235 | + | 17.3235i | −0.727519 | + | 0.727519i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −5.62622 | −0.235863 | −0.117932 | − | 0.993022i | \(-0.537626\pi\) | ||||
−0.117932 | + | 0.993022i | \(0.537626\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −23.1808 | − | 23.1808i | −0.970086 | − | 0.970086i | 0.0294797 | − | 0.999565i | \(-0.490615\pi\) |
−0.999565 | + | 0.0294797i | \(0.990615\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | − | 16.5132i | − | 0.689848i | ||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 9.37814 | − | 11.7289i | 0.391095 | − | 0.489128i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −25.6307 | + | 25.6307i | −1.06702 | + | 1.06702i | −0.0694322 | + | 0.997587i | \(0.522119\pi\) |
−0.997587 | + | 0.0694322i | \(0.977881\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −28.3562 | − | 28.3562i | −1.17844 | − | 1.17844i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −26.7552 | + | 26.7552i | −1.10999 | + | 1.10999i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 3.46614 | + | 3.46614i | 0.143553 | + | 0.143553i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −14.0497 | − | 12.5718i | −0.580884 | − | 0.519780i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −25.5579 | −1.05489 | −0.527444 | − | 0.849590i | \(-0.676849\pi\) | ||||
−0.527444 | + | 0.849590i | \(0.676849\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.41920 | − | 4.41920i | 0.182090 | − | 0.182090i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | − | 64.0266i | − | 2.63370i | ||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 2.96607 | + | 2.96607i | 0.121802 | + | 0.121802i | 0.765380 | − | 0.643578i | \(-0.222551\pi\) |
−0.643578 | + | 0.765380i | \(0.722551\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.601241 | − | 0.537996i | −0.0246485 | − | 0.0220557i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 47.8629i | 1.95890i | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | − | 5.14724i | − | 0.210311i | −0.994456 | − | 0.105155i | \(-0.966466\pi\) | ||
0.994456 | − | 0.105155i | \(-0.0335340\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 33.5619i | 1.36902i | 0.729005 | + | 0.684509i | \(0.239983\pi\) | ||||
−0.729005 | + | 0.684509i | \(0.760017\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | − | 37.2940i | − | 1.51873i | ||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −5.55461 | − | 4.97032i | −0.225827 | − | 0.202072i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −3.29572 | − | 3.29572i | −0.133769 | − | 0.133769i | 0.637052 | − | 0.770821i | \(-0.280154\pi\) |
−0.770821 | + | 0.637052i | \(0.780154\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | − | 48.5501i | − | 1.96735i | ||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −5.16986 | + | 5.16986i | −0.209150 | + | 0.209150i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −0.261903 | −0.0105781 | −0.00528907 | − | 0.999986i | \(-0.501684\pi\) | ||||
−0.00528907 | + | 0.999986i | \(0.501684\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 7.26568 | + | 6.50140i | 0.292981 | + | 0.262162i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 12.1529 | + | 12.1529i | 0.489259 | + | 0.489259i | 0.908072 | − | 0.418813i | \(-0.137554\pi\) |
−0.418813 | + | 0.908072i | \(0.637554\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 12.1134 | − | 12.1134i | 0.486877 | − | 0.486877i | −0.420442 | − | 0.907319i | \(-0.638125\pi\) |
0.907319 | + | 0.420442i | \(0.138125\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 2.76747 | + | 2.76747i | 0.111055 | + | 0.111055i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 37.5911 | − | 37.5911i | 1.50606 | − | 1.50606i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −24.3874 | + | 5.50042i | −0.975496 | + | 0.220017i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | − | 36.5089i | − | 1.45802i | ||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 0.189949 | + | 0.189949i | 0.00757377 | + | 0.00757377i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 49.8568 | 1.98477 | 0.992384 | − | 0.123179i | \(-0.0393090\pi\) | ||||
0.992384 | + | 0.123179i | \(0.0393090\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −16.3013 | + | 16.3013i | −0.647917 | + | 0.647917i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 2.14547 | − | 0.119105i | 0.0851404 | − | 0.00472656i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 10.9402 | 0.433467 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 7.98059 | 0.315707 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −4.10036 | −0.161954 | −0.0809772 | − | 0.996716i | \(-0.525804\pi\) | ||||
−0.0809772 | + | 0.996716i | \(0.525804\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 18.7451 | 0.739233 | 0.369617 | − | 0.929184i | \(-0.379489\pi\) | ||||
0.369617 | + | 0.929184i | \(0.379489\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −16.3527 | − | 14.6326i | −0.643888 | − | 0.576157i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 5.46529 | − | 5.46529i | 0.214863 | − | 0.214863i | −0.591467 | − | 0.806330i | \(-0.701451\pi\) |
0.806330 | + | 0.591467i | \(0.201451\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −28.3563 | −1.11308 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 10.1424 | + | 10.1424i | 0.397510 | + | 0.397510i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 33.9219i | 1.32747i | 0.747970 | + | 0.663733i | \(0.231029\pi\) | ||||
−0.747970 | + | 0.663733i | \(0.768971\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.953294 | + | 17.1719i | 0.0372483 | + | 0.670961i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −35.0753 | + | 35.0753i | −1.36842 | + | 1.36842i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −26.4961 | − | 26.4961i | −1.03214 | − | 1.03214i | −0.999466 | − | 0.0326746i | \(-0.989598\pi\) |
−0.0326746 | − | 0.999466i | \(-0.510402\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −10.6974 | + | 10.6974i | −0.416081 | + | 0.416081i | −0.883851 | − | 0.467769i | \(-0.845058\pi\) |
0.467769 | + | 0.883851i | \(0.345058\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −0.459936 | − | 0.459936i | −0.0178624 | − | 0.0178624i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 19.1557 | − | 21.4075i | 0.742826 | − | 0.830149i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 16.8114 | 0.650941 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −10.9663 | + | 10.9663i | −0.423980 | + | 0.423980i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 54.8333i | − | 2.11682i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −6.70854 | − | 6.70854i | −0.258595 | − | 0.258595i | 0.565887 | − | 0.824483i | \(-0.308534\pi\) |
−0.824483 | + | 0.565887i | \(0.808534\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −0.721194 | − | 6.47549i | −0.0277588 | − | 0.249242i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 13.1970i | 0.507200i | 0.967309 | + | 0.253600i | \(0.0816147\pi\) | ||||
−0.967309 | + | 0.253600i | \(0.918385\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | − | 24.0691i | − | 0.923686i | ||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 74.2591i | 2.84561i | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 37.9089i | 1.45054i | 0.688462 | + | 0.725272i | \(0.258286\pi\) | ||||
−0.688462 | + | 0.725272i | \(0.741714\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 23.6016 | − | 1.31024i | 0.901770 | − | 0.0500616i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 46.7978 | + | 46.7978i | 1.78545 | + | 1.78545i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 3.10952i | 0.118463i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −20.8280 | + | 20.8280i | −0.792335 | + | 0.792335i | −0.981873 | − | 0.189538i | \(-0.939301\pi\) |
0.189538 | + | 0.981873i | \(0.439301\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 45.1813 | 1.71630 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 2.02114 | + | 36.4073i | 0.0766664 | + | 1.38101i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.128255 | + | 0.128255i | 0.00485799 | + | 0.00485799i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 3.74227 | − | 3.74227i | 0.141546 | − | 0.141546i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −19.9053 | − | 19.9053i | −0.751812 | − | 0.751812i | 0.223005 | − | 0.974817i | \(-0.428413\pi\) |
−0.974817 | + | 0.223005i | \(0.928413\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −6.76326 | + | 6.76326i | −0.255081 | + | 0.255081i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −17.3427 | + | 0.962778i | −0.653165 | + | 0.0362603i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 30.6277i | 1.15187i | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 8.57112 | + | 8.57112i | 0.321895 | + | 0.321895i | 0.849494 | − | 0.527599i | \(-0.176908\pi\) |
−0.527599 | + | 0.849494i | \(0.676908\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −30.5647 | −1.14627 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −3.51199 | + | 3.51199i | −0.131525 | + | 0.131525i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.12696 | − | 20.3001i | −0.0421458 | − | 0.759182i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 32.0053 | 1.19526 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −33.1900 | −1.23778 | −0.618889 | − | 0.785478i | \(-0.712417\pi\) | ||||
−0.618889 | + | 0.785478i | \(0.712417\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −9.31162 | −0.346783 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 37.9857 | 1.41270 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −21.8587 | − | 17.4777i | −0.811810 | − | 0.649104i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 5.06503 | − | 5.06503i | 0.187852 | − | 0.187852i | −0.606915 | − | 0.794767i | \(-0.707593\pi\) |
0.794767 | + | 0.606915i | \(0.207593\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −35.2770 | −1.30655 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.288660 | − | 0.288660i | −0.0106765 | − | 0.0106765i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | − | 43.0744i | − | 1.59099i | −0.605961 | − | 0.795494i | \(-0.707211\pi\) | ||
0.605961 | − | 0.795494i | \(-0.292789\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 19.3686 | + | 17.3312i | 0.714422 | + | 0.639272i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 28.4384 | − | 28.4384i | 1.04754 | − | 1.04754i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −11.3838 | − | 11.3838i | −0.418762 | − | 0.418762i | 0.466015 | − | 0.884777i | \(-0.345689\pi\) |
−0.884777 | + | 0.466015i | \(0.845689\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 16.3763 | − | 16.3763i | 0.601599 | − | 0.601599i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 1.54795 | + | 1.54795i | 0.0567888 | + | 0.0567888i | 0.734931 | − | 0.678142i | \(-0.237215\pi\) |
−0.678142 | + | 0.734931i | \(0.737215\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 17.4029 | − | 0.966116i | 0.637591 | − | 0.0353958i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −39.0774 | −1.42977 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −16.7723 | + | 16.7723i | −0.612847 | + | 0.612847i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 1.49244i | − | 0.0544600i | −0.999629 | − | 0.0272300i | \(-0.991331\pi\) | ||
0.999629 | − | 0.0272300i | \(-0.00866865\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 13.7394 | + | 13.7394i | 0.500690 | + | 0.500690i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 6.16731 | − | 6.89231i | 0.224451 | − | 0.250837i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 22.7030i | − | 0.825154i | −0.910923 | − | 0.412577i | \(-0.864629\pi\) | ||
0.910923 | − | 0.412577i | \(-0.135371\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 29.0140i | 1.05314i | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | − | 33.6599i | − | 1.22017i | −0.792335 | − | 0.610086i | \(-0.791135\pi\) | ||
0.792335 | − | 0.610086i | \(-0.208865\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1.33523i | 0.0483386i | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −0.0461860 | − | 0.831959i | −0.00166986 | − | 0.0300795i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −12.7194 | − | 12.7194i | −0.459271 | − | 0.459271i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 10.1943i | − | 0.367615i | −0.982962 | − | 0.183808i | \(-0.941158\pi\) | ||
0.982962 | − | 0.183808i | \(-0.0588423\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −9.91699 | + | 9.91699i | −0.357152 | + | 0.357152i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −7.34419 | −0.264152 | −0.132076 | − | 0.991240i | \(-0.542164\pi\) | ||||
−0.132076 | + | 0.991240i | \(0.542164\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 8.21755 | − | 0.915212i | 0.295183 | − | 0.0328754i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −15.5221 | − | 15.5221i | −0.556853 | − | 0.556853i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −4.56658 | + | 4.56658i | −0.163615 | + | 0.163615i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 6.08556 | + | 6.08556i | 0.217759 | + | 0.217759i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 5.15763 | − | 5.15763i | 0.184319 | − | 0.184319i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 30.2239 | − | 33.7769i | 1.07874 | − | 1.20555i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 29.4359i | 1.04928i | 0.851326 | + | 0.524638i | \(0.175799\pi\) | ||||
−0.851326 | + | 0.524638i | \(0.824201\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 43.2900 | + | 43.2900i | 1.54116 | + | 1.54116i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −42.0921 | −1.49662 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 24.5959 | − | 24.5959i | 0.873425 | − | 0.873425i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −4.92603 | + | 5.50511i | −0.174708 | + | 0.195246i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −50.3934 | −1.78503 | −0.892513 | − | 0.451022i | \(-0.851060\pi\) | ||||
−0.892513 | + | 0.451022i | \(0.851060\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.323131 | −0.0114315 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 54.9039 | 1.93993 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −53.4930 | −1.88773 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −15.2232 | + | 17.0128i | −0.536548 | + | 0.599623i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −6.51890 | + | 6.51890i | −0.229476 | + | 0.229476i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −27.1588 | −0.954851 | −0.477426 | − | 0.878672i | \(-0.658430\pi\) | ||||
−0.477426 | + | 0.878672i | \(0.658430\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 11.5416 | + | 11.5416i | 0.405280 | + | 0.405280i | 0.880089 | − | 0.474809i | \(-0.157483\pi\) |
−0.474809 | + | 0.880089i | \(0.657483\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 8.51429i | 0.298609i | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −19.6575 | + | 21.9684i | −0.688574 | + | 0.769520i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 10.2779 | − | 10.2779i | 0.359579 | − | 0.359579i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 20.2664 | + | 20.2664i | 0.708166 | + | 0.708166i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 20.2900 | − | 20.2900i | 0.708126 | − | 0.708126i | −0.258015 | − | 0.966141i | \(-0.583068\pi\) |
0.966141 | + | 0.258015i | \(0.0830684\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −31.4540 | − | 31.4540i | −1.09642 | − | 1.09642i | −0.994826 | − | 0.101592i | \(-0.967606\pi\) |
−0.101592 | − | 0.994826i | \(-0.532394\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 30.1638 | − | 37.7247i | 1.05017 | − | 1.31341i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −15.3304 | −0.533090 | −0.266545 | − | 0.963822i | \(-0.585882\pi\) | ||||
−0.266545 | + | 0.963822i | \(0.585882\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 0.896046 | − | 0.896046i | 0.0311210 | − | 0.0311210i | −0.691375 | − | 0.722496i | \(-0.742995\pi\) |
0.722496 | + | 0.691375i | \(0.242995\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 11.7562i | 0.407817i | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0.341897 | + | 0.341897i | 0.0118460 | + | 0.0118460i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −2.07168 | − | 37.3176i | −0.0716935 | − | 1.29143i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 2.15491i | 0.0744845i | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | − | 48.1891i | − | 1.66367i | −0.555021 | − | 0.831837i | \(-0.687290\pi\) | ||
0.555021 | − | 0.831837i | \(-0.312710\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | − | 2.33080i | − | 0.0803723i | ||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 56.4359i | 1.94376i | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −10.7836 | + | 12.0513i | −0.370967 | + | 0.414577i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 8.01241 | + | 8.01241i | 0.275310 | + | 0.275310i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 27.7179i | 0.951277i | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 5.37484 | − | 5.37484i | 0.184247 | − | 0.184247i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 13.7426 | 0.470537 | 0.235268 | − | 0.971930i | \(-0.424403\pi\) | ||||
0.235268 | + | 0.971930i | \(0.424403\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 29.6224 | − | 1.64448i | 1.01306 | − | 0.0562401i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −13.4366 | − | 13.4366i | −0.458986 | − | 0.458986i | 0.439336 | − | 0.898323i | \(-0.355214\pi\) |
−0.898323 | + | 0.439336i | \(0.855214\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −7.00719 | + | 7.00719i | −0.239082 | + | 0.239082i | −0.816470 | − | 0.577388i | \(-0.804072\pi\) |
0.577388 | + | 0.816470i | \(0.304072\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −10.4806 | − | 10.4806i | −0.357178 | − | 0.357178i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −41.4708 | + | 41.4708i | −1.41168 | + | 1.41168i | −0.663560 | + | 0.748123i | \(0.730955\pi\) |
−0.748123 | + | 0.663560i | \(0.769045\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 25.9555 | + | 23.2252i | 0.882513 | + | 0.789682i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 43.3486i | 1.47219i | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −23.3070 | − | 23.3070i | −0.790636 | − | 0.790636i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 25.5125 | 0.864458 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 17.5771 | − | 17.5771i | 0.594894 | − | 0.594894i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 37.4807 | − | 6.29398i | 1.26708 | − | 0.212775i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 5.34168 | 0.180376 | 0.0901879 | − | 0.995925i | \(-0.471253\pi\) | ||||
0.0901879 | + | 0.995925i | \(0.471253\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 46.9666 | 1.58414 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −45.9723 | −1.54885 | −0.774423 | − | 0.632668i | \(-0.781960\pi\) | ||||
−0.774423 | + | 0.632668i | \(0.781960\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −2.64739 | −0.0890918 | −0.0445459 | − | 0.999007i | \(-0.514184\pi\) | ||||
−0.0445459 | + | 0.999007i | \(0.514184\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −2.36872 | − | 42.6683i | −0.0796238 | − | 1.43428i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 3.87171 | − | 3.87171i | 0.129999 | − | 0.129999i | −0.639113 | − | 0.769113i | \(-0.720699\pi\) |
0.769113 | + | 0.639113i | \(0.220699\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −3.26661 | −0.109558 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −19.2939 | − | 19.2939i | −0.646369 | − | 0.646369i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | − | 11.5053i | − | 0.385009i | ||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −49.2441 | + | 2.73378i | −1.64605 | + | 0.0913801i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −13.0144 | + | 13.0144i | −0.434539 | + | 0.434539i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 6.54516 | + | 6.54516i | 0.218293 | + | 0.218293i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.0971768 | + | 0.0971768i | −0.00323743 | + | 0.00323743i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 23.5885 | + | 23.5885i | 0.784975 | + | 0.784975i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −0.523580 | − | 9.43136i | −0.0174044 | − | 0.313509i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −26.2062 | −0.870163 | −0.435081 | − | 0.900391i | \(-0.643280\pi\) | ||||
−0.435081 | + | 0.900391i | \(0.643280\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −22.3667 | + | 22.3667i | −0.741856 | + | 0.741856i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 24.2898i | − | 0.804757i | −0.915473 | − | 0.402378i | \(-0.868184\pi\) | ||
0.915473 | − | 0.402378i | \(-0.131816\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −29.7983 | − | 29.7983i | −0.986181 | − | 0.986181i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 82.5089 | − | 4.58047i | 2.72766 | − | 0.151426i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | − | 26.1452i | − | 0.863391i | ||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 41.1294i | 1.35673i | 0.734723 | + | 0.678367i | \(0.237312\pi\) | ||||
−0.734723 | + | 0.678367i | \(0.762688\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | − | 16.8629i | − | 0.555650i | ||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 5.45944i | 0.179700i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −12.5763 | + | 1.40066i | −0.413508 | + | 0.0460535i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −6.80006 | − | 6.80006i | −0.223343 | − | 0.223343i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 43.4799i | 1.42653i | 0.700894 | + | 0.713265i | \(0.252785\pi\) | ||||
−0.700894 | + | 0.713265i | \(0.747215\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −12.1734 | + | 12.1734i | −0.398968 | + | 0.398968i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −1.54653 | −0.0506313 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0.599188 | − | 0.669626i | 0.0195955 | − | 0.0218991i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 13.0565 | + | 13.0565i | 0.426537 | + | 0.426537i | 0.887447 | − | 0.460910i | \(-0.152477\pi\) |
−0.460910 | + | 0.887447i | \(0.652477\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 49.4266 | − | 49.4266i | 1.61298 | − | 1.61298i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 5.53494 | + | 5.53494i | 0.180434 | + | 0.180434i | 0.791545 | − | 0.611111i | \(-0.209277\pi\) |
−0.611111 | + | 0.791545i | \(0.709277\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 3.62911 | − | 3.62911i | 0.118180 | − | 0.118180i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.549030 | + | 9.88979i | 0.0178599 | + | 0.321715i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | − | 31.6905i | − | 1.02980i | −0.857249 | − | 0.514902i | \(-0.827828\pi\) | ||
0.857249 | − | 0.514902i | \(-0.172172\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −23.9947 | − | 23.9947i | −0.778900 | − | 0.778900i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 17.9717 | 0.582772 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 2.85543 | − | 2.85543i | 0.0924965 | − | 0.0924965i | −0.659344 | − | 0.751841i | \(-0.729166\pi\) |
0.751841 | + | 0.659344i | \(0.229166\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 10.7841 | + | 9.64970i | 0.348964 | + | 0.312257i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 54.0722 | 1.74791 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −35.9348 | −1.16039 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 28.2654 | 0.911786 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −24.4969 | −0.789401 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 35.0886 | − | 1.94793i | 1.12954 | − | 0.0627062i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −40.1144 | + | 40.1144i | −1.28999 | + | 1.28999i | −0.355202 | + | 0.934790i | \(0.615588\pi\) |
−0.934790 | + | 0.355202i | \(0.884412\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 1.02356 | 0.0328816 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 17.3439 | + | 17.3439i | 0.556592 | + | 0.556592i | 0.928335 | − | 0.371743i | \(-0.121240\pi\) |
−0.371743 | + | 0.928335i | \(0.621240\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | − | 55.4322i | − | 1.77708i | ||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 30.4519 | − | 3.39151i | 0.975241 | − | 0.108615i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −12.2234 | + | 12.2234i | −0.391060 | + | 0.391060i | −0.875065 | − | 0.484005i | \(-0.839182\pi\) |
0.484005 | + | 0.875065i | \(0.339182\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 41.8667 | + | 41.8667i | 1.33807 | + | 1.33807i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −0.975089 | + | 0.975089i | −0.0311322 | + | 0.0311322i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 13.6091 | + | 13.6091i | 0.434063 | + | 0.434063i | 0.890008 | − | 0.455945i | \(-0.150699\pi\) |
−0.455945 | + | 0.890008i | \(0.650699\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 41.8132 | + | 37.4148i | 1.33228 | + | 1.19214i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 26.4053 | 0.840491 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −8.16797 | + | 8.16797i | −0.259726 | + | 0.259726i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 52.9400i | 1.68169i | 0.541273 | + | 0.840847i | \(0.317942\pi\) | ||||
−0.541273 | + | 0.840847i | \(0.682058\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 33.7513 | + | 33.7513i | 1.07107 | + | 1.07107i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −31.2573 | − | 27.9693i | −0.990923 | − | 0.886688i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 3.67381i | 0.116351i | 0.998306 | + | 0.0581754i | \(0.0185283\pi\) | ||||
−0.998306 | + | 0.0581754i | \(0.981472\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | − | 3.29792i | − | 0.104342i |
(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 | 640.2.s.d.223.8 | 18 | ||
4.3 | odd | 2 | 640.2.s.c.223.2 | 18 | |||
5.2 | odd | 4 | 640.2.j.d.607.2 | 18 | |||
8.3 | odd | 2 | 320.2.s.b.303.8 | 18 | |||
8.5 | even | 2 | 80.2.s.b.3.2 | yes | 18 | ||
16.3 | odd | 4 | 80.2.j.b.43.4 | ✓ | 18 | ||
16.5 | even | 4 | 640.2.j.c.543.2 | 18 | |||
16.11 | odd | 4 | 640.2.j.d.543.8 | 18 | |||
16.13 | even | 4 | 320.2.j.b.143.8 | 18 | |||
20.7 | even | 4 | 640.2.j.c.607.8 | 18 | |||
24.5 | odd | 2 | 720.2.z.g.163.8 | 18 | |||
40.3 | even | 4 | 1600.2.j.d.1007.8 | 18 | |||
40.13 | odd | 4 | 400.2.j.d.307.6 | 18 | |||
40.19 | odd | 2 | 1600.2.s.d.943.2 | 18 | |||
40.27 | even | 4 | 320.2.j.b.47.2 | 18 | |||
40.29 | even | 2 | 400.2.s.d.243.8 | 18 | |||
40.37 | odd | 4 | 80.2.j.b.67.4 | yes | 18 | ||
48.35 | even | 4 | 720.2.bd.g.523.6 | 18 | |||
80.3 | even | 4 | 400.2.s.d.107.8 | 18 | |||
80.13 | odd | 4 | 1600.2.s.d.207.2 | 18 | |||
80.19 | odd | 4 | 400.2.j.d.43.6 | 18 | |||
80.27 | even | 4 | inner | 640.2.s.d.287.8 | 18 | ||
80.29 | even | 4 | 1600.2.j.d.143.2 | 18 | |||
80.37 | odd | 4 | 640.2.s.c.287.2 | 18 | |||
80.67 | even | 4 | 80.2.s.b.27.2 | yes | 18 | ||
80.77 | odd | 4 | 320.2.s.b.207.8 | 18 | |||
120.77 | even | 4 | 720.2.bd.g.307.6 | 18 | |||
240.227 | odd | 4 | 720.2.z.g.667.8 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
80.2.j.b.43.4 | ✓ | 18 | 16.3 | odd | 4 | ||
80.2.j.b.67.4 | yes | 18 | 40.37 | odd | 4 | ||
80.2.s.b.3.2 | yes | 18 | 8.5 | even | 2 | ||
80.2.s.b.27.2 | yes | 18 | 80.67 | even | 4 | ||
320.2.j.b.47.2 | 18 | 40.27 | even | 4 | |||
320.2.j.b.143.8 | 18 | 16.13 | even | 4 | |||
320.2.s.b.207.8 | 18 | 80.77 | odd | 4 | |||
320.2.s.b.303.8 | 18 | 8.3 | odd | 2 | |||
400.2.j.d.43.6 | 18 | 80.19 | odd | 4 | |||
400.2.j.d.307.6 | 18 | 40.13 | odd | 4 | |||
400.2.s.d.107.8 | 18 | 80.3 | even | 4 | |||
400.2.s.d.243.8 | 18 | 40.29 | even | 2 | |||
640.2.j.c.543.2 | 18 | 16.5 | even | 4 | |||
640.2.j.c.607.8 | 18 | 20.7 | even | 4 | |||
640.2.j.d.543.8 | 18 | 16.11 | odd | 4 | |||
640.2.j.d.607.2 | 18 | 5.2 | odd | 4 | |||
640.2.s.c.223.2 | 18 | 4.3 | odd | 2 | |||
640.2.s.c.287.2 | 18 | 80.37 | odd | 4 | |||
640.2.s.d.223.8 | 18 | 1.1 | even | 1 | trivial | ||
640.2.s.d.287.8 | 18 | 80.27 | even | 4 | inner | ||
720.2.z.g.163.8 | 18 | 24.5 | odd | 2 | |||
720.2.z.g.667.8 | 18 | 240.227 | odd | 4 | |||
720.2.bd.g.307.6 | 18 | 120.77 | even | 4 | |||
720.2.bd.g.523.6 | 18 | 48.35 | even | 4 | |||
1600.2.j.d.143.2 | 18 | 80.29 | even | 4 | |||
1600.2.j.d.1007.8 | 18 | 40.3 | even | 4 | |||
1600.2.s.d.207.2 | 18 | 80.13 | odd | 4 | |||
1600.2.s.d.943.2 | 18 | 40.19 | odd | 2 |