Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [84,3,Mod(47,84)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(84, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("84.47");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 84 = 2^{2} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 84.j (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.28883422063\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 59.8 | ||
Character | \(\chi\) | \(=\) | 84.59 |
Dual form | 84.3.j.a.47.8 |
$q$-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 \(\left(\mathbb{Z}/84\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(43\) | \(73\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.34888 | − | 1.47666i | −0.674440 | − | 0.738329i | ||||
\(3\) | 2.89442 | + | 0.788889i | 0.964806 | + | 0.262963i | ||||
\(4\) | −0.361043 | + | 3.98367i | −0.0902608 | + | 0.995918i | ||||
\(5\) | −3.91160 | − | 6.77509i | −0.782320 | − | 1.35502i | −0.930587 | − | 0.366070i | \(-0.880703\pi\) |
0.148268 | − | 0.988947i | \(-0.452630\pi\) | |||||||
\(6\) | −2.73930 | − | 5.33818i | −0.456551 | − | 0.889697i | ||||
\(7\) | 6.35163 | − | 2.94225i | 0.907375 | − | 0.420322i | ||||
\(8\) | 6.36953 | − | 4.84036i | 0.796191 | − | 0.605045i | ||||
\(9\) | 7.75531 | + | 4.56675i | 0.861701 | + | 0.507416i | ||||
\(10\) | −4.72821 | + | 14.9149i | −0.472821 | + | 1.49149i | ||||
\(11\) | 3.99744 | − | 6.92378i | 0.363404 | − | 0.629434i | −0.625115 | − | 0.780533i | \(-0.714948\pi\) |
0.988519 | + | 0.151099i | \(0.0482811\pi\) | |||||||
\(12\) | −4.18768 | + | 11.2456i | −0.348974 | + | 0.937133i | ||||
\(13\) | − | 12.2401i | − | 0.941547i | −0.882254 | − | 0.470773i | \(-0.843975\pi\) | ||
0.882254 | − | 0.470773i | \(-0.156025\pi\) | |||||||
\(14\) | −12.9123 | − | 5.41044i | −0.922306 | − | 0.386460i | ||||
\(15\) | −5.97701 | − | 22.6957i | −0.398467 | − | 1.51305i | ||||
\(16\) | −15.7393 | − | 2.87656i | −0.983706 | − | 0.179785i | ||||
\(17\) | −12.9750 | + | 22.4734i | −0.763238 | + | 1.32197i | 0.177936 | + | 0.984042i | \(0.443058\pi\) |
−0.941173 | + | 0.337924i | \(0.890275\pi\) | |||||||
\(18\) | −3.71746 | − | 17.6119i | −0.206525 | − | 0.978441i | ||||
\(19\) | 0.176417 | + | 0.305564i | 0.00928512 | + | 0.0160823i | 0.870631 | − | 0.491937i | \(-0.163711\pi\) |
−0.861346 | + | 0.508020i | \(0.830378\pi\) | |||||||
\(20\) | 28.4020 | − | 13.1364i | 1.42010 | − | 0.656821i | ||||
\(21\) | 20.7054 | − | 3.50538i | 0.985970 | − | 0.166923i | ||||
\(22\) | −15.6161 | + | 3.43649i | −0.709824 | + | 0.156204i | ||||
\(23\) | 12.2582 | + | 21.2318i | 0.532965 | + | 0.923122i | 0.999259 | + | 0.0384922i | \(0.0122555\pi\) |
−0.466294 | + | 0.884630i | \(0.654411\pi\) | |||||||
\(24\) | 22.2546 | − | 8.98518i | 0.927274 | − | 0.374382i | ||||
\(25\) | −18.1012 | + | 31.3522i | −0.724048 | + | 1.25409i | ||||
\(26\) | −18.0745 | + | 16.5104i | −0.695172 | + | 0.635017i | ||||
\(27\) | 18.8444 | + | 19.3362i | 0.697943 | + | 0.716154i | ||||
\(28\) | 9.42775 | + | 26.3651i | 0.336705 | + | 0.941610i | ||||
\(29\) | 8.90744i | 0.307153i | 0.988137 | + | 0.153576i | \(0.0490791\pi\) | ||||
−0.988137 | + | 0.153576i | \(0.950921\pi\) | |||||||
\(30\) | −25.4516 | + | 39.4399i | −0.848387 | + | 1.31466i | ||||
\(31\) | −2.12769 | + | 3.68526i | −0.0686350 | + | 0.118879i | −0.898301 | − | 0.439381i | \(-0.855198\pi\) |
0.829666 | + | 0.558261i | \(0.188531\pi\) | |||||||
\(32\) | 16.9827 | + | 27.1217i | 0.530711 | + | 0.847553i | ||||
\(33\) | 17.0324 | − | 16.8868i | 0.516132 | − | 0.511720i | ||||
\(34\) | 50.6874 | − | 11.1543i | 1.49080 | − | 0.328066i | ||||
\(35\) | −44.7790 | − | 31.5239i | −1.27940 | − | 0.900683i | ||||
\(36\) | −20.9924 | + | 29.2458i | −0.583123 | + | 0.812384i | ||||
\(37\) | 4.82452 | + | 8.35632i | 0.130393 | + | 0.225847i | 0.923828 | − | 0.382808i | \(-0.125043\pi\) |
−0.793435 | + | 0.608654i | \(0.791710\pi\) | |||||||
\(38\) | 0.213248 | − | 0.672677i | 0.00561178 | − | 0.0177020i | ||||
\(39\) | 9.65608 | − | 35.4280i | 0.247592 | − | 0.908410i | ||||
\(40\) | −57.7089 | − | 24.2206i | −1.44272 | − | 0.605514i | ||||
\(41\) | −10.8181 | −0.263856 | −0.131928 | − | 0.991259i | \(-0.542117\pi\) | ||||
−0.131928 | + | 0.991259i | \(0.542117\pi\) | |||||||
\(42\) | −33.1053 | − | 25.8464i | −0.788222 | − | 0.615391i | ||||
\(43\) | 45.9410i | 1.06839i | 0.845360 | + | 0.534197i | \(0.179386\pi\) | ||||
−0.845360 | + | 0.534197i | \(0.820614\pi\) | |||||||
\(44\) | 26.1388 | + | 18.4243i | 0.594064 | + | 0.418734i | ||||
\(45\) | 0.604456 | − | 70.4062i | 0.0134324 | − | 1.56458i | ||||
\(46\) | 14.8173 | − | 46.7403i | 0.322115 | − | 1.01609i | ||||
\(47\) | −2.70440 | + | 1.56139i | −0.0575405 | + | 0.0332210i | −0.528494 | − | 0.848937i | \(-0.677243\pi\) |
0.470954 | + | 0.882158i | \(0.343910\pi\) | |||||||
\(48\) | −43.2868 | − | 20.7425i | −0.901809 | − | 0.432136i | ||||
\(49\) | 31.6863 | − | 37.3762i | 0.646660 | − | 0.762779i | ||||
\(50\) | 70.7128 | − | 15.5611i | 1.41426 | − | 0.311221i | ||||
\(51\) | −55.2842 | + | 54.8116i | −1.08400 | + | 1.07474i | ||||
\(52\) | 48.7606 | + | 4.41921i | 0.937704 | + | 0.0849847i | ||||
\(53\) | −17.1817 | − | 9.91987i | −0.324183 | − | 0.187167i | 0.329072 | − | 0.944305i | \(-0.393264\pi\) |
−0.653256 | + | 0.757137i | \(0.726597\pi\) | |||||||
\(54\) | 3.13399 | − | 53.9090i | 0.0580369 | − | 0.998314i | ||||
\(55\) | −62.5456 | −1.13719 | ||||||||
\(56\) | 26.2153 | − | 49.4849i | 0.468131 | − | 0.883659i | ||||
\(57\) | 0.269570 | + | 1.02360i | 0.00472929 | + | 0.0179579i | ||||
\(58\) | 13.1532 | − | 12.0151i | 0.226780 | − | 0.207156i | ||||
\(59\) | 26.5854 | + | 15.3491i | 0.450600 | + | 0.260154i | 0.708084 | − | 0.706128i | \(-0.249560\pi\) |
−0.257483 | + | 0.966283i | \(0.582893\pi\) | |||||||
\(60\) | 92.5704 | − | 15.6163i | 1.54284 | − | 0.260272i | ||||
\(61\) | −16.2260 | + | 9.36807i | −0.265999 | + | 0.153575i | −0.627068 | − | 0.778964i | \(-0.715745\pi\) |
0.361069 | + | 0.932539i | \(0.382412\pi\) | |||||||
\(62\) | 8.31186 | − | 1.82911i | 0.134062 | − | 0.0295017i | ||||
\(63\) | 62.6953 | + | 6.18821i | 0.995164 | + | 0.0982255i | ||||
\(64\) | 17.1418 | − | 61.6616i | 0.267841 | − | 0.963463i | ||||
\(65\) | −82.9278 | + | 47.8784i | −1.27581 | + | 0.736590i | ||||
\(66\) | −47.9106 | − | 2.37277i | −0.725918 | − | 0.0359510i | ||||
\(67\) | 20.0837 | + | 11.5953i | 0.299757 | + | 0.173065i | 0.642334 | − | 0.766425i | \(-0.277966\pi\) |
−0.342577 | + | 0.939490i | \(0.611300\pi\) | |||||||
\(68\) | −84.8422 | − | 59.8022i | −1.24768 | − | 0.879444i | ||||
\(69\) | 18.7308 | + | 71.1241i | 0.271461 | + | 1.03078i | ||||
\(70\) | 13.8515 | + | 108.645i | 0.197878 | + | 1.55208i | ||||
\(71\) | −5.70982 | −0.0804200 | −0.0402100 | − | 0.999191i | \(-0.512803\pi\) | ||||
−0.0402100 | + | 0.999191i | \(0.512803\pi\) | |||||||
\(72\) | 71.5024 | − | 8.45046i | 0.993089 | − | 0.117367i | ||||
\(73\) | −115.014 | − | 66.4036i | −1.57554 | − | 0.909639i | −0.995470 | − | 0.0950724i | \(-0.969692\pi\) |
−0.580070 | − | 0.814566i | \(-0.696975\pi\) | |||||||
\(74\) | 5.83173 | − | 18.3959i | 0.0788072 | − | 0.248593i | ||||
\(75\) | −77.1258 | + | 76.4665i | −1.02834 | + | 1.01955i | ||||
\(76\) | −1.28096 | + | 0.592467i | −0.0168547 | + | 0.00779562i | ||||
\(77\) | 5.01879 | − | 55.7387i | 0.0651790 | − | 0.723880i | ||||
\(78\) | −65.3400 | + | 33.5294i | −0.837692 | + | 0.429864i | ||||
\(79\) | 63.0911 | − | 36.4257i | 0.798621 | − | 0.461084i | −0.0443676 | − | 0.999015i | \(-0.514127\pi\) |
0.842989 | + | 0.537931i | \(0.180794\pi\) | |||||||
\(80\) | 42.0769 | + | 117.887i | 0.525961 | + | 1.47359i | ||||
\(81\) | 39.2896 | + | 70.8331i | 0.485057 | + | 0.874482i | ||||
\(82\) | 14.5923 | + | 15.9746i | 0.177955 | + | 0.194813i | ||||
\(83\) | − | 84.7079i | − | 1.02058i | −0.860003 | − | 0.510289i | \(-0.829539\pi\) | ||
0.860003 | − | 0.510289i | \(-0.170461\pi\) | |||||||
\(84\) | 6.48874 | + | 83.7490i | 0.0772469 | + | 0.997012i | ||||
\(85\) | 203.013 | 2.38838 | ||||||||
\(86\) | 67.8391 | − | 61.9689i | 0.788827 | − | 0.720568i | ||||
\(87\) | −7.02698 | + | 25.7818i | −0.0807698 | + | 0.296343i | ||||
\(88\) | −8.05173 | − | 63.4503i | −0.0914970 | − | 0.721026i | ||||
\(89\) | 34.4512 | + | 59.6712i | 0.387092 | + | 0.670463i | 0.992057 | − | 0.125789i | \(-0.0401463\pi\) |
−0.604965 | + | 0.796252i | \(0.706813\pi\) | |||||||
\(90\) | −104.781 | + | 94.0769i | −1.16424 | + | 1.04530i | ||||
\(91\) | −36.0135 | − | 77.7446i | −0.395752 | − | 0.854336i | ||||
\(92\) | −89.0063 | + | 41.1670i | −0.967460 | + | 0.447468i | ||||
\(93\) | −9.06567 | + | 8.98817i | −0.0974803 | + | 0.0966470i | ||||
\(94\) | 5.95356 | + | 1.88736i | 0.0633357 | + | 0.0200783i | ||||
\(95\) | 1.38015 | − | 2.39049i | 0.0145279 | − | 0.0251630i | ||||
\(96\) | 27.7591 | + | 91.8990i | 0.289158 | + | 0.957281i | ||||
\(97\) | 9.55320i | 0.0984866i | 0.998787 | + | 0.0492433i | \(0.0156810\pi\) | ||||
−0.998787 | + | 0.0492433i | \(0.984319\pi\) | |||||||
\(98\) | −97.9329 | + | 3.62608i | −0.999315 | + | 0.0370008i | ||||
\(99\) | 62.6206 | − | 35.4407i | 0.632531 | − | 0.357987i | ||||
\(100\) | −118.362 | − | 83.4287i | −1.18362 | − | 0.834287i | ||||
\(101\) | 45.6282 | − | 79.0303i | 0.451764 | − | 0.782479i | −0.546731 | − | 0.837308i | \(-0.684128\pi\) |
0.998496 | + | 0.0548293i | \(0.0174615\pi\) | |||||||
\(102\) | 155.510 | + | 7.70160i | 1.52461 | + | 0.0755059i | ||||
\(103\) | −32.3438 | − | 56.0210i | −0.314017 | − | 0.543894i | 0.665211 | − | 0.746655i | \(-0.268342\pi\) |
−0.979228 | + | 0.202762i | \(0.935008\pi\) | |||||||
\(104\) | −59.2465 | − | 77.9637i | −0.569678 | − | 0.749651i | ||||
\(105\) | −104.740 | − | 126.569i | −0.997527 | − | 1.20542i | ||||
\(106\) | 8.52782 | + | 38.7522i | 0.0804511 | + | 0.365587i | ||||
\(107\) | 21.6001 | + | 37.4125i | 0.201870 | + | 0.349650i | 0.949131 | − | 0.314881i | \(-0.101965\pi\) |
−0.747261 | + | 0.664531i | \(0.768631\pi\) | |||||||
\(108\) | −83.8326 | + | 68.0889i | −0.776227 | + | 0.630453i | ||||
\(109\) | −81.4810 | + | 141.129i | −0.747532 | + | 1.29476i | 0.201471 | + | 0.979495i | \(0.435428\pi\) |
−0.949003 | + | 0.315268i | \(0.897905\pi\) | |||||||
\(110\) | 84.3665 | + | 92.3585i | 0.766968 | + | 0.839623i | ||||
\(111\) | 7.37198 | + | 27.9927i | 0.0664142 | + | 0.252186i | ||||
\(112\) | −108.434 | + | 28.0382i | −0.968158 | + | 0.250341i | ||||
\(113\) | 81.6194i | 0.722296i | 0.932509 | + | 0.361148i | \(0.117615\pi\) | ||||
−0.932509 | + | 0.361148i | \(0.882385\pi\) | |||||||
\(114\) | 1.14790 | − | 1.77878i | 0.0100693 | − | 0.0156033i | ||||
\(115\) | 95.8982 | − | 166.101i | 0.833897 | − | 1.44435i | ||||
\(116\) | −35.4843 | − | 3.21597i | −0.305899 | − | 0.0277239i | ||||
\(117\) | 55.8975 | − | 94.9258i | 0.477756 | − | 0.811332i | ||||
\(118\) | −13.1952 | − | 59.9617i | −0.111823 | − | 0.508150i | ||||
\(119\) | −16.2901 | + | 180.919i | −0.136892 | + | 1.52032i | ||||
\(120\) | −147.926 | − | 115.630i | −1.23272 | − | 0.963586i | ||||
\(121\) | 28.5409 | + | 49.4343i | 0.235875 | + | 0.408548i | ||||
\(122\) | 35.7203 | + | 11.3238i | 0.292790 | + | 0.0928182i | ||||
\(123\) | −31.3121 | − | 8.53427i | −0.254570 | − | 0.0693843i | ||||
\(124\) | −13.9127 | − | 9.80654i | −0.112199 | − | 0.0790850i | ||||
\(125\) | 87.6385 | 0.701108 | ||||||||
\(126\) | −75.4306 | − | 100.927i | −0.598656 | − | 0.801006i | ||||
\(127\) | 163.925i | 1.29075i | 0.763867 | + | 0.645374i | \(0.223298\pi\) | ||||
−0.763867 | + | 0.645374i | \(0.776702\pi\) | |||||||
\(128\) | −114.175 | + | 57.8616i | −0.891996 | + | 0.452043i | ||||
\(129\) | −36.2423 | + | 132.972i | −0.280948 | + | 1.03079i | ||||
\(130\) | 182.560 | + | 57.8738i | 1.40431 | + | 0.445183i | ||||
\(131\) | 85.3813 | − | 49.2949i | 0.651765 | − | 0.376297i | −0.137367 | − | 0.990520i | \(-0.543864\pi\) |
0.789132 | + | 0.614223i | \(0.210531\pi\) | |||||||
\(132\) | 61.1219 | + | 73.9482i | 0.463045 | + | 0.560214i | ||||
\(133\) | 2.01958 | + | 1.42176i | 0.0151848 | + | 0.0106899i | ||||
\(134\) | −9.96817 | − | 45.2975i | −0.0743893 | − | 0.338041i | ||||
\(135\) | 57.2922 | − | 203.308i | 0.424387 | − | 1.50599i | ||||
\(136\) | 26.1346 | + | 205.949i | 0.192166 | + | 1.51433i | ||||
\(137\) | −135.019 | − | 77.9532i | −0.985540 | − | 0.569002i | −0.0816017 | − | 0.996665i | \(-0.526004\pi\) |
−0.903938 | + | 0.427663i | \(0.859337\pi\) | |||||||
\(138\) | 79.7604 | − | 123.597i | 0.577974 | − | 0.895629i | ||||
\(139\) | 184.379 | 1.32647 | 0.663233 | − | 0.748413i | \(-0.269184\pi\) | ||||
0.663233 | + | 0.748413i | \(0.269184\pi\) | |||||||
\(140\) | 141.748 | − | 167.003i | 1.01249 | − | 1.19288i | ||||
\(141\) | −9.05944 | + | 2.38584i | −0.0642513 | + | 0.0169208i | ||||
\(142\) | 7.70186 | + | 8.43145i | 0.0542385 | + | 0.0593764i | ||||
\(143\) | −84.7478 | − | 48.9292i | −0.592642 | − | 0.342162i | ||||
\(144\) | −108.927 | − | 94.1860i | −0.756435 | − | 0.654069i | ||||
\(145\) | 60.3486 | − | 34.8423i | 0.416198 | − | 0.240292i | ||||
\(146\) | 57.0852 | + | 259.408i | 0.390995 | + | 1.77677i | ||||
\(147\) | 121.199 | − | 83.1852i | 0.824484 | − | 0.565886i | ||||
\(148\) | −35.0307 | + | 16.2023i | −0.236694 | + | 0.109475i | ||||
\(149\) | 224.188 | − | 129.435i | 1.50462 | − | 0.868691i | 0.504630 | − | 0.863335i | \(-0.331629\pi\) |
0.999986 | − | 0.00535503i | \(-0.00170457\pi\) | |||||||
\(150\) | 216.948 | + | 10.7443i | 1.44632 | + | 0.0716289i | ||||
\(151\) | −136.390 | − | 78.7446i | −0.903243 | − | 0.521487i | −0.0249919 | − | 0.999688i | \(-0.507956\pi\) |
−0.878251 | + | 0.478200i | \(0.841289\pi\) | |||||||
\(152\) | 2.60273 | + | 1.09237i | 0.0171233 | + | 0.00718667i | ||||
\(153\) | −203.256 | + | 115.035i | −1.32847 | + | 0.751860i | ||||
\(154\) | −89.0768 | + | 67.7738i | −0.578421 | + | 0.440090i | ||||
\(155\) | 33.2906 | 0.214778 | ||||||||
\(156\) | 137.647 | + | 51.2577i | 0.882354 | + | 0.328575i | ||||
\(157\) | −172.520 | − | 99.6044i | −1.09885 | − | 0.634423i | −0.162933 | − | 0.986637i | \(-0.552096\pi\) |
−0.935919 | + | 0.352214i | \(0.885429\pi\) | |||||||
\(158\) | −138.891 | − | 44.0302i | −0.879054 | − | 0.278672i | ||||
\(159\) | −41.9054 | − | 42.2667i | −0.263556 | − | 0.265828i | ||||
\(160\) | 117.322 | − | 221.149i | 0.733264 | − | 1.38218i | ||||
\(161\) | 140.329 | + | 98.7898i | 0.871607 | + | 0.613601i | ||||
\(162\) | 51.5993 | − | 153.563i | 0.318514 | − | 0.947918i | ||||
\(163\) | −170.037 | + | 98.1710i | −1.04317 | + | 0.602276i | −0.920730 | − | 0.390200i | \(-0.872406\pi\) |
−0.122442 | + | 0.992476i | \(0.539073\pi\) | |||||||
\(164\) | 3.90580 | − | 43.0958i | 0.0238158 | − | 0.262779i | ||||
\(165\) | −181.033 | − | 49.3415i | −1.09717 | − | 0.299039i | ||||
\(166\) | −125.085 | + | 114.261i | −0.753522 | + | 0.688318i | ||||
\(167\) | − | 79.4361i | − | 0.475665i | −0.971306 | − | 0.237833i | \(-0.923563\pi\) | ||
0.971306 | − | 0.237833i | \(-0.0764369\pi\) | |||||||
\(168\) | 114.916 | − | 122.549i | 0.684025 | − | 0.729459i | ||||
\(169\) | 19.1797 | 0.113490 | ||||||||
\(170\) | −273.840 | − | 299.780i | −1.61082 | − | 1.76341i | ||||
\(171\) | −0.0272616 | + | 3.17540i | −0.000159425 | + | 0.0185696i | ||||
\(172\) | −183.014 | − | 16.5867i | −1.06403 | − | 0.0964341i | ||||
\(173\) | −34.4633 | − | 59.6922i | −0.199210 | − | 0.345042i | 0.749063 | − | 0.662499i | \(-0.230504\pi\) |
−0.948272 | + | 0.317458i | \(0.897171\pi\) | |||||||
\(174\) | 47.5495 | − | 24.4002i | 0.273273 | − | 0.140231i | ||||
\(175\) | −22.7260 | + | 252.396i | −0.129863 | + | 1.44226i | ||||
\(176\) | −82.8336 | + | 97.4765i | −0.470645 | + | 0.553844i | ||||
\(177\) | 64.8406 | + | 65.3997i | 0.366331 | + | 0.369490i | ||||
\(178\) | 41.6435 | − | 131.362i | 0.233952 | − | 0.737989i | ||||
\(179\) | −75.6253 | + | 130.987i | −0.422488 | + | 0.731770i | −0.996182 | − | 0.0872993i | \(-0.972176\pi\) |
0.573694 | + | 0.819069i | \(0.305510\pi\) | |||||||
\(180\) | 280.257 | + | 27.8276i | 1.55698 | + | 0.154598i | ||||
\(181\) | − | 264.106i | − | 1.45915i | −0.683901 | − | 0.729575i | \(-0.739718\pi\) | ||
0.683901 | − | 0.729575i | \(-0.260282\pi\) | |||||||
\(182\) | −66.2244 | + | 158.048i | −0.363870 | + | 0.868394i | ||||
\(183\) | −54.3551 | + | 14.3146i | −0.297022 | + | 0.0782219i | ||||
\(184\) | 180.848 | + | 75.9026i | 0.982872 | + | 0.412514i | ||||
\(185\) | 37.7432 | − | 65.3731i | 0.204017 | − | 0.353368i | ||||
\(186\) | 25.5010 | + | 1.26293i | 0.137102 | + | 0.00678996i | ||||
\(187\) | 103.734 | + | 179.673i | 0.554727 | + | 0.960816i | ||||
\(188\) | −5.24365 | − | 11.3372i | −0.0278918 | − | 0.0603042i | ||||
\(189\) | 176.585 | + | 67.3709i | 0.934311 | + | 0.356460i | ||||
\(190\) | −5.39159 | + | 1.18647i | −0.0283768 | + | 0.00624459i | ||||
\(191\) | 29.2404 | + | 50.6459i | 0.153091 | + | 0.265162i | 0.932362 | − | 0.361525i | \(-0.117744\pi\) |
−0.779271 | + | 0.626687i | \(0.784411\pi\) | |||||||
\(192\) | 98.2598 | − | 164.952i | 0.511770 | − | 0.859123i | ||||
\(193\) | −21.2929 | + | 36.8805i | −0.110326 | + | 0.191090i | −0.915902 | − | 0.401402i | \(-0.868523\pi\) |
0.805576 | + | 0.592493i | \(0.201856\pi\) | |||||||
\(194\) | 14.1068 | − | 12.8861i | 0.0727156 | − | 0.0664233i | ||||
\(195\) | −277.798 | + | 73.1592i | −1.42461 | + | 0.375176i | ||||
\(196\) | 137.454 | + | 139.722i | 0.701297 | + | 0.712869i | ||||
\(197\) | − | 113.230i | − | 0.574773i | −0.957815 | − | 0.287387i | \(-0.907214\pi\) | ||
0.957815 | − | 0.287387i | \(-0.0927864\pi\) | |||||||
\(198\) | −136.801 | − | 44.6639i | −0.690917 | − | 0.225575i | ||||
\(199\) | −159.414 | + | 276.114i | −0.801078 | + | 1.38751i | 0.117830 | + | 0.993034i | \(0.462406\pi\) |
−0.918907 | + | 0.394473i | \(0.870927\pi\) | |||||||
\(200\) | 36.4598 | + | 287.315i | 0.182299 | + | 1.43658i | ||||
\(201\) | 48.9832 | + | 49.4056i | 0.243698 | + | 0.245799i | ||||
\(202\) | −178.248 | + | 39.2252i | −0.882415 | + | 0.194184i | ||||
\(203\) | 26.2079 | + | 56.5767i | 0.129103 | + | 0.278703i | ||||
\(204\) | −198.392 | − | 240.024i | −0.972508 | − | 1.17659i | ||||
\(205\) | 42.3160 | + | 73.2935i | 0.206420 | + | 0.357529i | ||||
\(206\) | −39.0961 | + | 123.326i | −0.189787 | + | 0.598672i | ||||
\(207\) | −1.89425 | + | 220.639i | −0.00915096 | + | 1.06589i | ||||
\(208\) | −35.2093 | + | 192.651i | −0.169276 | + | 0.926205i | ||||
\(209\) | 2.82087 | 0.0134970 | ||||||||
\(210\) | −45.6172 | + | 325.392i | −0.217225 | + | 1.54949i | ||||
\(211\) | − | 319.029i | − | 1.51199i | −0.654579 | − | 0.755993i | \(-0.727154\pi\) | ||
0.654579 | − | 0.755993i | \(-0.272846\pi\) | |||||||
\(212\) | 45.7208 | − | 64.8648i | 0.215664 | − | 0.305966i | ||||
\(213\) | −16.5266 | − | 4.50441i | −0.0775897 | − | 0.0211475i | ||||
\(214\) | 26.1095 | − | 82.3611i | 0.122007 | − | 0.384865i | ||||
\(215\) | 311.254 | − | 179.703i | 1.44769 | − | 0.835826i | ||||
\(216\) | 213.624 | + | 31.9483i | 0.989001 | + | 0.147909i | ||||
\(217\) | −2.67131 | + | 29.6676i | −0.0123102 | + | 0.136717i | ||||
\(218\) | 318.308 | − | 70.0468i | 1.46013 | − | 0.321315i | ||||
\(219\) | −280.515 | − | 282.933i | −1.28089 | − | 1.29193i | ||||
\(220\) | 22.5816 | − | 249.161i | 0.102644 | − | 1.13255i | ||||
\(221\) | 275.077 | + | 158.816i | 1.24469 | + | 0.718624i | ||||
\(222\) | 31.3917 | − | 48.6447i | 0.141404 | − | 0.219120i | ||||
\(223\) | 61.8557 | 0.277380 | 0.138690 | − | 0.990336i | \(-0.455711\pi\) | ||||
0.138690 | + | 0.990336i | \(0.455711\pi\) | |||||||
\(224\) | 187.667 | + | 122.299i | 0.837798 | + | 0.545980i | ||||
\(225\) | −283.558 | + | 160.482i | −1.26026 | + | 0.713255i | ||||
\(226\) | 120.524 | − | 110.095i | 0.533292 | − | 0.487145i | ||||
\(227\) | −265.894 | − | 153.514i | −1.17134 | − | 0.676272i | −0.217342 | − | 0.976095i | \(-0.569739\pi\) |
−0.953995 | + | 0.299824i | \(0.903072\pi\) | |||||||
\(228\) | −4.17503 | + | 0.704313i | −0.0183115 | + | 0.00308909i | ||||
\(229\) | −330.741 | + | 190.954i | −1.44428 | + | 0.833858i | −0.998132 | − | 0.0610983i | \(-0.980540\pi\) |
−0.446153 | + | 0.894957i | \(0.647206\pi\) | |||||||
\(230\) | −374.629 | + | 82.4409i | −1.62882 | + | 0.358439i | ||||
\(231\) | 58.4981 | − | 157.372i | 0.253239 | − | 0.681264i | ||||
\(232\) | 43.1152 | + | 56.7362i | 0.185841 | + | 0.244553i | ||||
\(233\) | −172.971 | + | 99.8649i | −0.742365 | + | 0.428605i | −0.822929 | − | 0.568145i | \(-0.807661\pi\) |
0.0805635 | + | 0.996749i | \(0.474328\pi\) | |||||||
\(234\) | −215.572 | + | 45.5021i | −0.921248 | + | 0.194453i | ||||
\(235\) | 21.1571 | + | 12.2150i | 0.0900301 | + | 0.0519789i | ||||
\(236\) | −70.7443 | + | 100.366i | −0.299764 | + | 0.425279i | ||||
\(237\) | 211.348 | − | 55.6592i | 0.891763 | − | 0.234849i | ||||
\(238\) | 289.129 | − | 219.983i | 1.21483 | − | 0.924297i | ||||
\(239\) | −338.558 | −1.41656 | −0.708280 | − | 0.705931i | \(-0.750529\pi\) | ||||
−0.708280 | + | 0.705931i | \(0.750529\pi\) | |||||||
\(240\) | 28.7883 | + | 374.408i | 0.119951 | + | 1.56003i | ||||
\(241\) | 154.864 | + | 89.4111i | 0.642591 | + | 0.371000i | 0.785612 | − | 0.618719i | \(-0.212348\pi\) |
−0.143021 | + | 0.989720i | \(0.545682\pi\) | |||||||
\(242\) | 34.4993 | − | 108.826i | 0.142559 | − | 0.449694i | ||||
\(243\) | 57.8412 | + | 236.016i | 0.238030 | + | 0.971258i | ||||
\(244\) | −31.4610 | − | 68.0212i | −0.128939 | − | 0.278775i | ||||
\(245\) | −377.171 | − | 68.4771i | −1.53947 | − | 0.279498i | ||||
\(246\) | 29.6341 | + | 57.7490i | 0.120464 | + | 0.234752i | ||||
\(247\) | 3.74013 | − | 2.15937i | 0.0151422 | − | 0.00874238i | ||||
\(248\) | 4.28563 | + | 33.7721i | 0.0172808 | + | 0.136178i | ||||
\(249\) | 66.8251 | − | 245.180i | 0.268374 | − | 0.984659i | ||||
\(250\) | −118.214 | − | 129.412i | −0.472855 | − | 0.517649i | ||||
\(251\) | 332.210i | 1.32355i | 0.749705 | + | 0.661773i | \(0.230196\pi\) | ||||
−0.749705 | + | 0.661773i | \(0.769804\pi\) | |||||||
\(252\) | −47.2875 | + | 247.524i | −0.187649 | + | 0.982236i | ||||
\(253\) | 196.006 | 0.774726 | ||||||||
\(254\) | 242.061 | − | 221.115i | 0.952997 | − | 0.870532i | ||||
\(255\) | 587.603 | + | 160.154i | 2.30433 | + | 0.628056i | ||||
\(256\) | 239.451 | + | 90.5499i | 0.935355 | + | 0.353711i | ||||
\(257\) | 128.600 | + | 222.742i | 0.500391 | + | 0.866702i | 1.00000 | 0.000451144i | \(0.000143604\pi\) | |
−0.499609 | + | 0.866251i | \(0.666523\pi\) | |||||||
\(258\) | 245.241 | − | 125.846i | 0.950548 | − | 0.487776i | ||||
\(259\) | 55.2300 | + | 38.8813i | 0.213243 | + | 0.150121i | ||||
\(260\) | −160.791 | − | 347.643i | −0.618428 | − | 1.33709i | ||||
\(261\) | −40.6780 | + | 69.0799i | −0.155854 | + | 0.264674i | ||||
\(262\) | −187.961 | − | 59.5861i | −0.717408 | − | 0.227428i | ||||
\(263\) | 199.904 | − | 346.245i | 0.760093 | − | 1.31652i | −0.182709 | − | 0.983167i | \(-0.558487\pi\) |
0.942802 | − | 0.333353i | \(-0.108180\pi\) | |||||||
\(264\) | 26.7501 | − | 190.004i | 0.101326 | − | 0.719710i | ||||
\(265\) | 155.210i | 0.585699i | ||||||||
\(266\) | −0.624716 | − | 4.90002i | −0.00234856 | − | 0.0184211i | ||||
\(267\) | 52.6422 | + | 199.892i | 0.197162 | + | 0.748658i | ||||
\(268\) | −53.4431 | + | 75.8205i | −0.199415 | + | 0.282912i | ||||
\(269\) | −2.51438 | + | 4.35503i | −0.00934714 | + | 0.0161897i | −0.870661 | − | 0.491883i | \(-0.836309\pi\) |
0.861314 | + | 0.508073i | \(0.169642\pi\) | |||||||
\(270\) | −377.497 | + | 189.637i | −1.39814 | + | 0.702360i | ||||
\(271\) | −220.880 | − | 382.575i | −0.815056 | − | 1.41172i | −0.909288 | − | 0.416167i | \(-0.863373\pi\) |
0.0942324 | − | 0.995550i | \(-0.469960\pi\) | |||||||
\(272\) | 268.864 | − | 316.392i | 0.988471 | − | 1.16321i | ||||
\(273\) | −42.9062 | − | 253.436i | −0.157166 | − | 0.928337i | ||||
\(274\) | 67.0141 | + | 304.527i | 0.244577 | + | 1.11141i | ||||
\(275\) | 144.717 | + | 250.657i | 0.526244 | + | 0.911481i | ||||
\(276\) | −290.098 | + | 48.9385i | −1.05108 | + | 0.177313i | ||||
\(277\) | 112.258 | − | 194.437i | 0.405264 | − | 0.701938i | −0.589088 | − | 0.808069i | \(-0.700513\pi\) |
0.994352 | + | 0.106131i | \(0.0338462\pi\) | |||||||
\(278\) | −248.705 | − | 272.265i | −0.894622 | − | 0.979369i | ||||
\(279\) | −33.3305 | + | 18.8637i | −0.119464 | + | 0.0676119i | ||||
\(280\) | −437.808 | + | 15.9540i | −1.56360 | + | 0.0569787i | ||||
\(281\) | − | 495.517i | − | 1.76340i | −0.471807 | − | 0.881702i | \(-0.656398\pi\) | ||
0.471807 | − | 0.881702i | \(-0.343602\pi\) | |||||||
\(282\) | 15.7432 | + | 10.1595i | 0.0558268 | + | 0.0360266i | ||||
\(283\) | 118.614 | − | 205.445i | 0.419130 | − | 0.725954i | −0.576722 | − | 0.816940i | \(-0.695669\pi\) |
0.995852 | + | 0.0909861i | \(0.0290019\pi\) | |||||||
\(284\) | 2.06149 | − | 22.7460i | 0.00725877 | − | 0.0800917i | ||||
\(285\) | 5.88055 | − | 5.83028i | 0.0206335 | − | 0.0204571i | ||||
\(286\) | 42.0629 | + | 191.143i | 0.147073 | + | 0.668333i | ||||
\(287\) | −68.7125 | + | 31.8296i | −0.239416 | + | 0.110904i | ||||
\(288\) | 7.84842 | + | 287.893i | 0.0272515 | + | 0.999629i | ||||
\(289\) | −192.203 | − | 332.906i | −0.665063 | − | 1.15192i | ||||
\(290\) | −132.853 | − | 42.1163i | −0.458115 | − | 0.145228i | ||||
\(291\) | −7.53641 | + | 27.6510i | −0.0258983 | + | 0.0950205i | ||||
\(292\) | 306.056 | − | 434.205i | 1.04814 | − | 1.48700i | ||||
\(293\) | −230.550 | −0.786860 | −0.393430 | − | 0.919355i | \(-0.628712\pi\) | ||||
−0.393430 | + | 0.919355i | \(0.628712\pi\) | |||||||
\(294\) | −286.319 | − | 66.7628i | −0.973875 | − | 0.227084i | ||||
\(295\) | − | 240.158i | − | 0.814095i | ||||||
\(296\) | 71.1776 | + | 29.8734i | 0.240465 | + | 0.100924i | ||||
\(297\) | 209.209 | − | 53.1796i | 0.704407 | − | 0.179056i | ||||
\(298\) | −493.534 | − | 156.457i | −1.65615 | − | 0.525023i | ||||
\(299\) | 259.880 | − | 150.042i | 0.869163 | − | 0.501811i | ||||
\(300\) | −276.772 | − | 334.852i | −0.922573 | − | 1.11617i | ||||
\(301\) | 135.170 | + | 291.800i | 0.449069 | + | 0.969435i | ||||
\(302\) | 67.6944 | + | 307.618i | 0.224154 | + | 1.01860i | ||||
\(303\) | 194.413 | − | 192.751i | 0.641628 | − | 0.636143i | ||||
\(304\) | −1.89771 | − | 5.31683i | −0.00624248 | − | 0.0174896i | ||||
\(305\) | 126.939 | + | 73.2882i | 0.416193 | + | 0.240289i | ||||
\(306\) | 444.035 | + | 144.972i | 1.45109 | + | 0.473764i | ||||
\(307\) | 169.194 | 0.551121 | 0.275560 | − | 0.961284i | \(-0.411137\pi\) | ||||
0.275560 | + | 0.961284i | \(0.411137\pi\) | |||||||
\(308\) | 220.233 | + | 40.1173i | 0.715042 | + | 0.130251i | ||||
\(309\) | −49.4220 | − | 187.664i | −0.159942 | − | 0.607327i | ||||
\(310\) | −44.9050 | − | 49.1589i | −0.144855 | − | 0.158577i | ||||
\(311\) | −52.7757 | − | 30.4701i | −0.169697 | − | 0.0979746i | 0.412746 | − | 0.910846i | \(-0.364570\pi\) |
−0.582443 | + | 0.812872i | \(0.697903\pi\) | |||||||
\(312\) | −109.980 | − | 272.399i | −0.352498 | − | 0.873072i | ||||
\(313\) | 235.217 | − | 135.802i | 0.751491 | − | 0.433873i | −0.0747416 | − | 0.997203i | \(-0.523813\pi\) |
0.826232 | + | 0.563330i | \(0.190480\pi\) | |||||||
\(314\) | 85.6270 | + | 389.108i | 0.272697 | + | 1.23920i | ||||
\(315\) | −203.313 | − | 448.972i | −0.645439 | − | 1.42531i | ||||
\(316\) | 122.329 | + | 264.485i | 0.387118 | + | 0.836979i | ||||
\(317\) | −285.646 | + | 164.918i | −0.901090 | + | 0.520245i | −0.877554 | − | 0.479478i | \(-0.840826\pi\) |
−0.0235366 | + | 0.999723i | \(0.507493\pi\) | |||||||
\(318\) | −5.88814 | + | 118.893i | −0.0185162 | + | 0.373876i | ||||
\(319\) | 61.6731 | + | 35.6070i | 0.193333 | + | 0.111621i | ||||
\(320\) | −484.815 | + | 125.058i | −1.51505 | + | 0.390807i | ||||
\(321\) | 33.0055 | + | 125.328i | 0.102821 | + | 0.390429i | ||||
\(322\) | −43.4078 | − | 340.473i | −0.134807 | − | 1.05737i | ||||
\(323\) | −9.15609 | −0.0283470 | ||||||||
\(324\) | −296.361 | + | 130.943i | −0.914695 | + | 0.404146i | ||||
\(325\) | 383.754 | + | 221.561i | 1.18078 | + | 0.681725i | ||||
\(326\) | 374.325 | + | 118.666i | 1.14824 | + | 0.364006i | ||||
\(327\) | −347.175 | + | 344.207i | −1.06170 | + | 1.05262i | ||||
\(328\) | −68.9062 | + | 52.3635i | −0.210080 | + | 0.159645i | ||||
\(329\) | −12.5834 | + | 17.8744i | −0.0382473 | + | 0.0543295i | ||||
\(330\) | 171.331 | + | 333.880i | 0.519186 | + | 1.01176i | ||||
\(331\) | 373.330 | − | 215.542i | 1.12788 | − | 0.651184i | 0.184482 | − | 0.982836i | \(-0.440939\pi\) |
0.943402 | + | 0.331652i | \(0.107606\pi\) | |||||||
\(332\) | 337.449 | + | 30.5832i | 1.01641 | + | 0.0921181i | ||||
\(333\) | −0.745530 | + | 86.8382i | −0.00223883 | + | 0.260776i | ||||
\(334\) | −117.300 | + | 107.150i | −0.351198 | + | 0.320808i | ||||
\(335\) | − | 181.425i | − | 0.541568i | ||||||
\(336\) | −335.971 | − | 4.38798i | −0.999915 | − | 0.0130595i | ||||
\(337\) | −371.163 | −1.10138 | −0.550688 | − | 0.834711i | \(-0.685634\pi\) | ||||
−0.550688 | + | 0.834711i | \(0.685634\pi\) | |||||||
\(338\) | −25.8712 | − | 28.3219i | −0.0765420 | − | 0.0837927i | ||||
\(339\) | −64.3886 | + | 236.241i | −0.189937 | + | 0.696875i | ||||
\(340\) | −73.2963 | + | 808.735i | −0.215577 | + | 2.37863i | ||||
\(341\) | 17.0106 | + | 29.4632i | 0.0498845 | + | 0.0864025i | ||||
\(342\) | 4.72575 | − | 4.24297i | 0.0138180 | − | 0.0124064i | ||||
\(343\) | 91.2896 | − | 330.628i | 0.266151 | − | 0.963931i | ||||
\(344\) | 222.371 | + | 292.622i | 0.646427 | + | 0.850646i | ||||
\(345\) | 408.604 | − | 405.111i | 1.18436 | − | 1.17424i | ||||
\(346\) | −41.6581 | + | 131.408i | −0.120399 | + | 0.379792i | ||||
\(347\) | −100.408 | + | 173.912i | −0.289361 | + | 0.501188i | −0.973657 | − | 0.228016i | \(-0.926776\pi\) |
0.684296 | + | 0.729204i | \(0.260109\pi\) | |||||||
\(348\) | −100.169 | − | 37.3015i | −0.287843 | − | 0.107188i | ||||
\(349\) | − | 12.2742i | − | 0.0351698i | −0.999845 | − | 0.0175849i | \(-0.994402\pi\) | ||
0.999845 | − | 0.0175849i | \(-0.00559773\pi\) | |||||||
\(350\) | 403.357 | − | 306.893i | 1.15245 | − | 0.876837i | ||||
\(351\) | 236.677 | − | 230.658i | 0.674292 | − | 0.657146i | ||||
\(352\) | 255.672 | − | 9.16719i | 0.726341 | − | 0.0260432i | ||||
\(353\) | −88.7075 | + | 153.646i | −0.251296 | + | 0.435257i | −0.963883 | − | 0.266326i | \(-0.914190\pi\) |
0.712587 | + | 0.701584i | \(0.247523\pi\) | |||||||
\(354\) | 9.11078 | − | 183.964i | 0.0257367 | − | 0.519672i | ||||
\(355\) | 22.3345 | + | 38.6845i | 0.0629141 | + | 0.108970i | ||||
\(356\) | −250.149 | + | 115.698i | −0.702665 | + | 0.324995i | ||||
\(357\) | −189.875 | + | 510.803i | −0.531863 | + | 1.43082i | ||||
\(358\) | 295.432 | − | 65.0128i | 0.825230 | − | 0.181600i | ||||
\(359\) | 210.722 | + | 364.981i | 0.586969 | + | 1.01666i | 0.994627 | + | 0.103525i | \(0.0330121\pi\) |
−0.407658 | + | 0.913135i | \(0.633655\pi\) | |||||||
\(360\) | −336.941 | − | 451.380i | −0.935948 | − | 1.25383i | ||||
\(361\) | 180.438 | − | 312.527i | 0.499828 | − | 0.865727i | ||||
\(362\) | −389.994 | + | 356.247i | −1.07733 | + | 0.984109i | ||||
\(363\) | 43.6111 | + | 165.599i | 0.120141 | + | 0.456195i | ||||
\(364\) | 322.711 | − | 115.397i | 0.886570 | − | 0.317024i | ||||
\(365\) | 1038.98i | 2.84651i | ||||||||
\(366\) | 94.4563 | + | 60.9552i | 0.258077 | + | 0.166544i | ||||
\(367\) | −136.677 | + | 236.732i | −0.372418 | + | 0.645046i | −0.989937 | − | 0.141510i | \(-0.954804\pi\) |
0.617519 | + | 0.786556i | \(0.288138\pi\) | |||||||
\(368\) | −131.861 | − | 369.435i | −0.358317 | − | 1.00390i | ||||
\(369\) | −83.8977 | − | 49.4035i | −0.227365 | − | 0.133885i | ||||
\(370\) | −147.445 | + | 32.4467i | −0.398500 | + | 0.0876938i | ||||
\(371\) | −138.319 | − | 12.4544i | −0.372826 | − | 0.0335698i | ||||
\(372\) | −32.5328 | − | 39.3598i | −0.0874539 | − | 0.105806i | ||||
\(373\) | −185.928 | − | 322.038i | −0.498468 | − | 0.863372i | 0.501531 | − | 0.865140i | \(-0.332770\pi\) |
−0.999998 | + | 0.00176834i | \(0.999437\pi\) | |||||||
\(374\) | 125.390 | − | 395.536i | 0.335268 | − | 1.05758i | ||||
\(375\) | 253.662 | + | 69.1370i | 0.676433 | + | 0.184365i | ||||
\(376\) | −9.66810 | + | 23.0356i | −0.0257130 | + | 0.0612649i | ||||
\(377\) | 109.028 | 0.289199 | ||||||||
\(378\) | −138.708 | − | 351.631i | −0.366952 | − | 0.930240i | ||||
\(379\) | 520.163i | 1.37246i | 0.727384 | + | 0.686231i | \(0.240736\pi\) | ||||
−0.727384 | + | 0.686231i | \(0.759264\pi\) | |||||||
\(380\) | 9.02462 | + | 6.36112i | 0.0237490 | + | 0.0167398i | ||||
\(381\) | −129.319 | + | 474.467i | −0.339419 | + | 1.24532i | ||||
\(382\) | 35.3449 | − | 111.493i | 0.0925258 | − | 0.291867i | ||||
\(383\) | −372.722 | + | 215.191i | −0.973163 | + | 0.561856i | −0.900199 | − | 0.435478i | \(-0.856579\pi\) |
−0.0729641 | + | 0.997335i | \(0.523246\pi\) | |||||||
\(384\) | −376.118 | + | 77.4038i | −0.979474 | + | 0.201572i | ||||
\(385\) | −397.266 | + | 184.025i | −1.03186 | + | 0.477986i | ||||
\(386\) | 83.1815 | − | 18.3049i | 0.215496 | − | 0.0474221i | ||||
\(387\) | −209.801 | + | 356.286i | −0.542121 | + | 0.920637i | ||||
\(388\) | −38.0568 | − | 3.44912i | −0.0980846 | − | 0.00888948i | ||||
\(389\) | −365.932 | − | 211.271i | −0.940700 | − | 0.543113i | −0.0505202 | − | 0.998723i | \(-0.516088\pi\) |
−0.890180 | + | 0.455610i | \(0.849421\pi\) | |||||||
\(390\) | 482.748 | + | 311.530i | 1.23782 | + | 0.798796i | ||||
\(391\) | −636.202 | −1.62711 | ||||||||
\(392\) | 20.9129 | − | 391.442i | 0.0533492 | − | 0.998576i | ||||
\(393\) | 286.017 | − | 75.3237i | 0.727779 | − | 0.191663i | ||||
\(394\) | −167.203 | + | 152.734i | −0.424372 | + | 0.387650i | ||||
\(395\) | −493.574 | − | 284.965i | −1.24955 | − | 0.721430i | ||||
\(396\) | 118.575 | + | 262.255i | 0.299433 | + | 0.662261i | ||||
\(397\) | −200.327 | + | 115.659i | −0.504601 | + | 0.291332i | −0.730612 | − | 0.682793i | \(-0.760765\pi\) |
0.226010 | + | 0.974125i | \(0.427432\pi\) | |||||||
\(398\) | 622.757 | − | 137.044i | 1.56472 | − | 0.344331i | ||||
\(399\) | 4.72390 | + | 5.70840i | 0.0118394 | + | 0.0143068i | ||||
\(400\) | 375.086 | − | 441.392i | 0.937716 | − | 1.10348i | ||||
\(401\) | 35.2440 | − | 20.3481i | 0.0878902 | − | 0.0507434i | −0.455411 | − | 0.890281i | \(-0.650508\pi\) |
0.543301 | + | 0.839538i | \(0.317174\pi\) | |||||||
\(402\) | 6.88265 | − | 138.974i | 0.0171210 | − | 0.345706i | ||||
\(403\) | 45.1080 | + | 26.0431i | 0.111930 | + | 0.0646231i | ||||
\(404\) | 298.357 | + | 210.301i | 0.738508 | + | 0.520547i | ||||
\(405\) | 326.215 | − | 543.261i | 0.805469 | − | 1.34139i | ||||
\(406\) | 48.1932 | − | 115.015i | 0.118702 | − | 0.283289i | ||||
\(407\) | 77.1431 | 0.189541 | ||||||||
\(408\) | −86.8264 | + | 616.720i | −0.212810 | + | 1.51157i | ||||
\(409\) | 296.411 | + | 171.133i | 0.724721 | + | 0.418418i | 0.816488 | − | 0.577363i | \(-0.195918\pi\) |
−0.0917669 | + | 0.995781i | \(0.529251\pi\) | |||||||
\(410\) | 51.1503 | − | 161.351i | 0.124757 | − | 0.393538i | ||||
\(411\) | −329.305 | − | 332.144i | −0.801228 | − | 0.808137i | ||||
\(412\) | 234.847 | − | 108.621i | 0.570017 | − | 0.263643i | ||||
\(413\) | 214.022 | + | 19.2708i | 0.518212 | + | 0.0466605i | ||||
\(414\) | 328.364 | − | 294.819i | 0.793150 | − | 0.712123i | ||||
\(415\) | −573.903 | + | 331.343i | −1.38290 | + | 0.798418i | ||||
\(416\) | 331.973 | − | 207.871i | 0.798011 | − | 0.499689i | ||||
\(417\) | 533.669 | + | 145.454i | 1.27978 | + | 0.348811i | ||||
\(418\) | −3.80502 | − | 4.16547i | −0.00910292 | − | 0.00996524i | ||||
\(419\) | − | 806.101i | − | 1.92387i | −0.273279 | − | 0.961935i | \(-0.588108\pi\) | ||
0.273279 | − | 0.961935i | \(-0.411892\pi\) | |||||||
\(420\) | 542.025 | − | 371.554i | 1.29054 | − | 0.884653i | ||||
\(421\) | −580.924 | −1.37987 | −0.689933 | − | 0.723873i | \(-0.742360\pi\) | ||||
−0.689933 | + | 0.723873i | \(0.742360\pi\) | |||||||
\(422\) | −471.097 | + | 430.332i | −1.11634 | + | 1.01974i | ||||
\(423\) | −28.1040 | − | 0.241280i | −0.0664396 | − | 0.000570402i | ||||
\(424\) | −157.455 | + | 19.9808i | −0.371357 | + | 0.0471245i | ||||
\(425\) | −469.727 | − | 813.592i | −1.10524 | − | 1.91433i | ||||
\(426\) | 15.6409 | + | 30.4801i | 0.0367158 | + | 0.0715494i | ||||
\(427\) | −75.4981 | + | 107.243i | −0.176810 | + | 0.251155i | ||||
\(428\) | −156.838 | + | 72.5403i | −0.366444 | + | 0.169487i | ||||
\(429\) | −206.696 | − | 208.478i | −0.481808 | − | 0.485963i | ||||
\(430\) | −685.204 | − | 217.219i | −1.59350 | − | 0.505160i | ||||
\(431\) | 428.126 | − | 741.537i | 0.993333 | − | 1.72050i | 0.396828 | − | 0.917893i | \(-0.370111\pi\) |
0.596504 | − | 0.802610i | \(-0.296556\pi\) | |||||||
\(432\) | −240.977 | − | 358.544i | −0.557817 | − | 0.829964i | ||||
\(433\) | 158.262i | 0.365500i | 0.983159 | + | 0.182750i | \(0.0584999\pi\) | ||||
−0.983159 | + | 0.182750i | \(0.941500\pi\) | |||||||
\(434\) | 47.4122 | − | 36.0734i | 0.109245 | − | 0.0831184i | ||||
\(435\) | 202.161 | − | 53.2398i | 0.464738 | − | 0.122390i | ||||
\(436\) | −532.794 | − | 375.547i | −1.22201 | − | 0.861347i | ||||
\(437\) | −4.32511 | + | 7.49132i | −0.00989729 | + | 0.0171426i | ||||
\(438\) | −39.4153 | + | 795.868i | −0.0899892 | + | 1.81705i | ||||
\(439\) | 334.140 | + | 578.748i | 0.761140 | + | 1.31833i | 0.942263 | + | 0.334873i | \(0.108693\pi\) |
−0.181123 | + | 0.983460i | \(0.557973\pi\) | |||||||
\(440\) | −398.386 | + | 302.743i | −0.905423 | + | 0.688053i | ||||
\(441\) | 416.425 | − | 145.160i | 0.944274 | − | 0.329162i | ||||
\(442\) | −136.529 | − | 620.419i | −0.308890 | − | 1.40366i | ||||
\(443\) | 213.572 | + | 369.918i | 0.482104 | + | 0.835029i | 0.999789 | − | 0.0205425i | \(-0.00653935\pi\) |
−0.517685 | + | 0.855571i | \(0.673206\pi\) | |||||||
\(444\) | −114.175 | + | 19.2610i | −0.257152 | + | 0.0433806i | ||||
\(445\) | 269.518 | − | 466.820i | 0.605659 | − | 1.04903i | ||||
\(446\) | −83.4359 | − | 91.3398i | −0.187076 | − | 0.204798i | ||||
\(447\) | 751.003 | − | 197.779i | 1.68010 | − | 0.442460i | ||||
\(448\) | −72.5456 | − | 442.087i | −0.161932 | − | 0.986802i | ||||
\(449\) | − | 631.866i | − | 1.40727i | −0.710560 | − | 0.703637i | \(-0.751558\pi\) | ||
0.710560 | − | 0.703637i | \(-0.248442\pi\) | |||||||
\(450\) | 619.463 | + | 202.247i | 1.37659 | + | 0.449437i | ||||
\(451\) | −43.2447 | + | 74.9021i | −0.0958863 | + | 0.166080i | ||||
\(452\) | −325.145 | − | 29.4681i | −0.719347 | − | 0.0651950i | ||||
\(453\) | −332.648 | − | 335.516i | −0.734322 | − | 0.740653i | ||||
\(454\) | 131.971 | + | 599.706i | 0.290685 | + | 1.32094i | ||||
\(455\) | −385.856 | + | 548.100i | −0.848035 | + | 1.20462i | ||||
\(456\) | 6.67164 | + | 5.21506i | 0.0146308 | + | 0.0114365i | ||||
\(457\) | 393.881 | + | 682.221i | 0.861883 | + | 1.49283i | 0.870109 | + | 0.492860i | \(0.164048\pi\) |
−0.00822530 | + | 0.999966i | \(0.502618\pi\) | |||||||
\(458\) | 728.104 | + | 230.819i | 1.58975 | + | 0.503971i | ||||
\(459\) | −679.057 | + | 172.612i | −1.47943 | + | 0.376061i | ||||
\(460\) | 627.067 | + | 441.997i | 1.36319 | + | 0.960862i | ||||
\(461\) | −365.626 | −0.793114 | −0.396557 | − | 0.918010i | \(-0.629795\pi\) | ||||
−0.396557 | + | 0.918010i | \(0.629795\pi\) | |||||||
\(462\) | −311.292 | + | 125.894i | −0.673791 | + | 0.272498i | ||||
\(463\) | 394.857i | 0.852823i | 0.904529 | + | 0.426412i | \(0.140223\pi\) | ||||
−0.904529 | + | 0.426412i | \(0.859777\pi\) | |||||||
\(464\) | 25.6227 | − | 140.197i | 0.0552214 | − | 0.302148i | ||||
\(465\) | 96.3569 | + | 26.2626i | 0.207219 | + | 0.0564787i | ||||
\(466\) | 380.784 | + | 120.713i | 0.817132 | + | 0.259042i | ||||
\(467\) | 1.02673 | − | 0.592784i | 0.00219857 | − | 0.00126935i | −0.498900 | − | 0.866659i | \(-0.666263\pi\) |
0.501099 | + | 0.865390i | \(0.332929\pi\) | |||||||
\(468\) | 357.972 | + | 256.950i | 0.764897 | + | 0.549038i | ||||
\(469\) | 161.681 | + | 14.5579i | 0.344735 | + | 0.0310404i | ||||
\(470\) | −10.5009 | − | 47.7184i | −0.0223424 | − | 0.101529i | ||||
\(471\) | −420.768 | − | 424.396i | −0.893350 | − | 0.901053i | ||||
\(472\) | 243.632 | − | 30.9165i | 0.516169 | − | 0.0655010i | ||||
\(473\) | 318.085 | + | 183.646i | 0.672484 | + | 0.388259i | ||||
\(474\) | −367.272 | − | 237.011i | −0.774836 | − | 0.500023i | ||||
\(475\) | −12.7735 | −0.0268915 | ||||||||
\(476\) | −714.839 | − | 130.214i | −1.50176 | − | 0.273559i | ||||
\(477\) | −87.9480 | − | 155.396i | −0.184377 | − | 0.325778i | ||||
\(478\) | 456.674 | + | 499.935i | 0.955385 | + | 1.04589i | ||||
\(479\) | 361.498 | + | 208.711i | 0.754692 | + | 0.435722i | 0.827387 | − | 0.561632i | \(-0.189826\pi\) |
−0.0726945 | + | 0.997354i | \(0.523160\pi\) | |||||||
\(480\) | 514.041 | − | 547.543i | 1.07092 | − | 1.14071i | ||||
\(481\) | 102.282 | − | 59.0527i | 0.212645 | − | 0.122771i | ||||
\(482\) | −76.8641 | − | 349.287i | −0.159469 | − | 0.724662i | ||||
\(483\) | 328.236 | + | 396.643i | 0.679577 | + | 0.821207i | ||||
\(484\) | −207.234 | + | 95.8496i | −0.428170 | + | 0.198036i | ||||
\(485\) | 64.7238 | − | 37.3683i | 0.133451 | − | 0.0770480i | ||||
\(486\) | 270.494 | − | 403.769i | 0.556572 | − | 0.830800i | ||||
\(487\) | 569.473 | + | 328.786i | 1.16935 | + | 0.675125i | 0.953527 | − | 0.301308i | \(-0.0974232\pi\) |
0.215823 | + | 0.976432i | \(0.430757\pi\) | |||||||
\(488\) | −58.0070 | + | 138.210i | −0.118867 | + | 0.283217i | ||||
\(489\) | −569.605 | + | 150.007i | −1.16484 | + | 0.306764i | ||||
\(490\) | 407.641 | + | 649.320i | 0.831921 | + | 1.32514i | ||||
\(491\) | 725.221 | 1.47703 | 0.738514 | − | 0.674238i | \(-0.235528\pi\) | ||||
0.738514 | + | 0.674238i | \(0.235528\pi\) | |||||||
\(492\) | 45.3028 | − | 121.656i | 0.0920788 | − | 0.247268i | ||||
\(493\) | −200.181 | − | 115.574i | −0.406046 | − | 0.234431i | ||||
\(494\) | −8.23364 | − | 2.61017i | −0.0166673 | − | 0.00528375i | ||||
\(495\) | −485.060 | − | 285.630i | −0.979920 | − | 0.577030i | ||||
\(496\) | 44.0891 | − | 51.8830i | 0.0888894 | − | 0.104603i | ||||
\(497\) | −36.2666 | + | 16.7997i | −0.0729711 | + | 0.0338022i | ||||
\(498\) | −452.186 | + | 232.041i | −0.908005 | + | 0.465945i | ||||
\(499\) | 641.192 | − | 370.192i | 1.28495 | − | 0.741868i | 0.307204 | − | 0.951644i | \(-0.400607\pi\) |
0.977750 | + | 0.209776i | \(0.0672734\pi\) | |||||||
\(500\) | −31.6413 | + | 349.123i | −0.0632825 | + | 0.698246i | ||||
\(501\) | 62.6662 | − | 229.921i | 0.125082 | − | 0.458924i | ||||
\(502\) | 490.561 | − | 448.111i | 0.977212 | − | 0.892652i | ||||
\(503\) | 200.809i | 0.399223i | 0.979875 | + | 0.199612i | \(0.0639680\pi\) | ||||
−0.979875 | + | 0.199612i | \(0.936032\pi\) | |||||||
\(504\) | 429.293 | − | 264.052i | 0.851772 | − | 0.523913i | ||||
\(505\) | −713.917 | −1.41370 | ||||||||
\(506\) | −264.388 | − | 289.434i | −0.522506 | − | 0.572003i | ||||
\(507\) | 55.5142 | + | 15.1307i | 0.109495 | + | 0.0298436i | ||||
\(508\) | −653.023 | − | 59.1840i | −1.28548 | − | 0.116504i | ||||
\(509\) | 280.535 | + | 485.900i | 0.551149 | + | 0.954617i | 0.998192 | + | 0.0601052i | \(0.0191436\pi\) |
−0.447043 | + | 0.894512i | \(0.647523\pi\) | |||||||
\(510\) | −556.113 | − | 1083.72i | −1.09042 | − | 2.12494i | ||||
\(511\) | −925.905 | − | 83.3697i | −1.81195 | − | 0.163150i | ||||
\(512\) | −189.279 | − | 475.728i | −0.369686 | − | 0.929157i | ||||
\(513\) | −2.58394 | + | 9.16942i | −0.00503692 | + | 0.0178741i | ||||
\(514\) | 155.448 | − | 490.352i | 0.302428 | − | 0.953992i | ||||
\(515\) | −253.032 | + | 438.264i | −0.491323 | + | 0.850997i | ||||
\(516\) | −516.633 | − | 192.386i | −1.00123 | − | 0.372842i | ||||
\(517\) | 24.9663i | 0.0482906i | ||||||||
\(518\) | −17.0843 | − | 134.002i | −0.0329812 | − | 0.258691i | ||||
\(519\) | −52.6607 | − | 199.962i | −0.101466 | − | 0.385283i | ||||
\(520\) | −296.462 | + | 706.363i | −0.570120 | + | 1.35839i | ||||
\(521\) | −11.1610 | + | 19.3314i | −0.0214223 | + | 0.0371044i | −0.876538 | − | 0.481333i | \(-0.840153\pi\) |
0.855116 | + | 0.518437i | \(0.173486\pi\) | |||||||
\(522\) | 156.877 | − | 33.1130i | 0.300531 | − | 0.0634349i | ||||
\(523\) | −387.844 | − | 671.766i | −0.741576 | − | 1.28445i | −0.951778 | − | 0.306789i | \(-0.900746\pi\) |
0.210202 | − | 0.977658i | \(-0.432588\pi\) | |||||||
\(524\) | 165.548 | + | 357.929i | 0.315932 | + | 0.683070i | ||||
\(525\) | −264.891 | + | 712.610i | −0.504554 | + | 1.35735i | ||||
\(526\) | −780.933 | + | 171.852i | −1.48466 | + | 0.326715i | ||||
\(527\) | −55.2136 | − | 95.6328i | −0.104770 | − | 0.181466i | ||||
\(528\) | −316.653 | + | 216.791i | −0.599722 | + | 0.410589i | ||||
\(529\) | −36.0264 | + | 62.3995i | −0.0681028 | + | 0.117957i | ||||
\(530\) | 229.192 | − | 209.360i | 0.432439 | − | 0.395019i | ||||
\(531\) | 136.083 | + | 240.446i | 0.256276 | + | 0.452817i | ||||
\(532\) | −6.39300 | + | 7.53204i | −0.0120169 | + | 0.0141580i | ||||
\(533\) | 132.415i | 0.248433i | ||||||||
\(534\) | 224.164 | − | 347.364i | 0.419782 | − | 0.650495i | ||||
\(535\) | 168.982 | − | 292.686i | 0.315854 | − | 0.547076i | ||||
\(536\) | 184.049 | − | 23.3556i | 0.343376 | − | 0.0435738i | ||||
\(537\) | −322.225 | + | 319.471i | −0.600047 | + | 0.594918i | ||||
\(538\) | 9.82250 | − | 2.16154i | 0.0182574 | − | 0.00401773i | ||||
\(539\) | −132.120 | − | 368.798i | −0.245120 | − | 0.684227i | ||||
\(540\) | 789.228 | + | 301.636i | 1.46153 | + | 0.558586i | ||||
\(541\) | −132.578 | − | 229.631i | −0.245060 | − | 0.424457i | 0.717088 | − | 0.696982i | \(-0.245474\pi\) |
−0.962149 | + | 0.272526i | \(0.912141\pi\) | |||||||
\(542\) | −266.993 | + | 842.213i | −0.492606 | + | 1.55390i | ||||
\(543\) | 208.350 | − | 764.433i | 0.383702 | − | 1.40780i | ||||
\(544\) | −829.869 | + | 29.7552i | −1.52549 | + | 0.0546970i | ||||
\(545\) | 1274.88 | 2.33923 | ||||||||
\(546\) | −316.363 | + | 405.213i | −0.579420 | + | 0.742148i | ||||
\(547\) | − | 627.912i | − | 1.14792i | −0.818884 | − | 0.573959i | \(-0.805407\pi\) | ||
0.818884 | − | 0.573959i | \(-0.194593\pi\) | |||||||
\(548\) | 359.288 | − | 509.727i | 0.655635 | − | 0.930158i | ||||
\(549\) | −168.619 | − | 1.44764i | −0.307138 | − | 0.00263687i | ||||
\(550\) | 174.929 | − | 551.804i | 0.318053 | − | 1.00328i | ||||
\(551\) | −2.72179 | + | 1.57143i | −0.00493973 | + | 0.00285195i | ||||
\(552\) | 463.572 | + | 362.363i | 0.839805 | + | 0.656455i | ||||
\(553\) | 293.558 | − | 416.992i | 0.530845 | − | 0.754054i | ||||
\(554\) | −438.540 | + | 96.5050i | −0.791588 | + | 0.174197i | ||||
\(555\) | 160.817 | − | 159.442i | 0.289760 | − | 0.287283i | ||||
\(556\) | −66.5687 | + | 734.505i | −0.119728 | + | 1.32105i | ||||
\(557\) | 375.658 | + | 216.886i | 0.674430 | + | 0.389382i | 0.797753 | − | 0.602984i | \(-0.206022\pi\) |
−0.123323 | + | 0.992367i | \(0.539355\pi\) | |||||||
\(558\) | 72.8141 | + | 23.7729i | 0.130491 | + | 0.0426037i | ||||
\(559\) | 562.322 | 1.00594 | ||||||||
\(560\) | 614.110 | + | 624.974i | 1.09662 | + | 1.11602i | ||||
\(561\) | 158.508 | + | 601.882i | 0.282545 | + | 1.07287i | ||||
\(562\) | −731.709 | + | 668.393i | −1.30197 | + | 1.18931i | ||||
\(563\) | −178.595 | − | 103.112i | −0.317221 | − | 0.183148i | 0.332932 | − | 0.942951i | \(-0.391962\pi\) |
−0.650153 | + | 0.759803i | \(0.725295\pi\) | |||||||
\(564\) | −6.23354 | − | 36.9512i | −0.0110524 | − | 0.0655164i | ||||
\(565\) | 552.979 | − | 319.262i | 0.978723 | − | 0.565066i | ||||
\(566\) | −463.368 | + | 101.969i | −0.818671 | + | 0.180157i | ||||
\(567\) | 457.962 | + | 334.305i | 0.807693 | + | 0.589604i | ||||
\(568\) | −36.3688 | + | 27.6376i | −0.0640297 | + | 0.0486577i | ||||
\(569\) | −0.178011 | + | 0.102775i | −0.000312849 | + | 0.000180624i | −0.500156 | − | 0.865935i | \(-0.666724\pi\) |
0.499844 | + | 0.866116i | \(0.333391\pi\) | |||||||
\(570\) | −16.5415 | − | 0.819215i | −0.0290202 | − | 0.00143722i | ||||
\(571\) | −115.985 | − | 66.9637i | −0.203125 | − | 0.117274i | 0.394987 | − | 0.918687i | \(-0.370749\pi\) |
−0.598112 | + | 0.801412i | \(0.704082\pi\) | |||||||
\(572\) | 225.515 | − | 319.942i | 0.394258 | − | 0.559339i | ||||
\(573\) | 44.6800 | + | 169.658i | 0.0779756 | + | 0.296087i | ||||
\(574\) | 139.686 | + | 58.5307i | 0.243356 | + | 0.101970i | ||||
\(575\) | −887.551 | −1.54357 | ||||||||
\(576\) | 414.533 | − | 399.923i | 0.719676 | − | 0.694310i | ||||
\(577\) | 383.716 | + | 221.538i | 0.665019 | + | 0.383949i | 0.794187 | − | 0.607674i | \(-0.207897\pi\) |
−0.129168 | + | 0.991623i | \(0.541231\pi\) | |||||||
\(578\) | −232.329 | + | 732.869i | −0.401953 | + | 1.26794i | ||||
\(579\) | −90.7252 | + | 89.9497i | −0.156693 | + | 0.155354i | ||||
\(580\) | 117.012 | + | 252.989i | 0.201745 | + | 0.436188i | ||||
\(581\) | −249.232 | − | 538.033i | −0.428971 | − | 0.926046i | ||||
\(582\) | 50.9968 | − | 26.1691i | 0.0876233 | − | 0.0449641i | ||||
\(583\) | −137.366 | + | 79.3082i | −0.235619 | + | 0.136035i | ||||
\(584\) | −1054.01 | + | 133.752i | −1.80480 | + | 0.229027i | ||||
\(585\) | −861.779 | − | 7.39861i | −1.47313 | − | 0.0126472i | ||||
\(586\) | 310.984 | + | 340.444i | 0.530690 | + | 0.580962i | ||||
\(587\) | 53.2383i | 0.0906955i | 0.998971 | + | 0.0453477i | \(0.0144396\pi\) | ||||
−0.998971 | + | 0.0453477i | \(0.985560\pi\) | |||||||
\(588\) | 287.625 | + | 512.851i | 0.489158 | + | 0.872195i | ||||
\(589\) | −1.50144 | −0.00254914 | ||||||||
\(590\) | −354.632 | + | 323.945i | −0.601070 | + | 0.549059i | ||||
\(591\) | 89.3261 | − | 327.736i | 0.151144 | − | 0.554544i | ||||
\(592\) | −51.8972 | − | 145.401i | −0.0876642 | − | 0.245609i | ||||
\(593\) | 518.400 | + | 897.894i | 0.874198 | + | 1.51416i | 0.857614 | + | 0.514293i | \(0.171946\pi\) |
0.0165840 | + | 0.999862i | \(0.494721\pi\) | |||||||
\(594\) | −360.726 | − | 237.197i | −0.607282 | − | 0.399322i | ||||
\(595\) | 1289.46 | − | 597.314i | 2.16716 | − | 1.00389i | ||||
\(596\) | 434.685 | + | 939.822i | 0.729337 | + | 1.57688i | ||||
\(597\) | −679.235 | + | 673.429i | −1.13775 | + | 1.12802i | ||||
\(598\) | −572.107 | − | 181.365i | −0.956700 | − | 0.303287i | ||||
\(599\) | −453.196 | + | 784.958i | −0.756587 | + | 1.31045i | 0.187994 | + | 0.982170i | \(0.439801\pi\) |
−0.944581 | + | 0.328277i | \(0.893532\pi\) | |||||||
\(600\) | −121.130 | + | 860.372i | −0.201883 | + | 1.43395i | ||||
\(601\) | − | 374.031i | − | 0.622347i | −0.950353 | − | 0.311174i | \(-0.899278\pi\) | ||
0.950353 | − | 0.311174i | \(-0.100722\pi\) | |||||||
\(602\) | 248.561 | − | 593.203i | 0.412892 | − | 0.985387i | ||||
\(603\) | 102.802 | + | 181.643i | 0.170485 | + | 0.301232i | ||||
\(604\) | 362.935 | − | 514.902i | 0.600886 | − | 0.852486i | ||||
\(605\) | 223.281 | − | 386.734i | 0.369059 | − | 0.639229i | ||||
\(606\) | −546.868 | − | 27.0836i | −0.902423 | − | 0.0446923i | ||||
\(607\) | 288.817 | + | 500.245i | 0.475810 | + | 0.824127i | 0.999616 | − | 0.0277106i | \(-0.00882170\pi\) |
−0.523806 | + | 0.851838i | \(0.675488\pi\) | |||||||
\(608\) | −5.29136 | + | 9.97405i | −0.00870290 | + | 0.0164047i | ||||
\(609\) | 31.2239 | + | 184.432i | 0.0512708 | + | 0.302844i | ||||
\(610\) | −63.0037 | − | 286.303i | −0.103285 | − | 0.469348i | ||||
\(611\) | 19.1116 | + | 33.1022i | 0.0312792 | + | 0.0541771i | ||||
\(612\) | −384.876 | − | 851.237i | −0.628883 | − | 1.39091i | ||||
\(613\) | −489.353 | + | 847.585i | −0.798292 | + | 1.38268i | 0.122435 | + | 0.992477i | \(0.460930\pi\) |
−0.920727 | + | 0.390206i | \(0.872404\pi\) | |||||||
\(614\) | −228.223 | − | 249.842i | −0.371698 | − | 0.406909i | ||||
\(615\) | 64.6599 | + | 245.525i | 0.105138 | + | 0.399227i | ||||
\(616\) | −237.828 | − | 379.322i | −0.386085 | − | 0.615783i | ||||
\(617\) | − | 859.700i | − | 1.39336i | −0.717384 | − | 0.696678i | \(-0.754661\pi\) | ||
0.717384 | − | 0.696678i | \(-0.245339\pi\) | |||||||
\(618\) | −210.451 | + | 326.116i | −0.340536 | + | 0.527695i | ||||
\(619\) | 13.2442 | − | 22.9396i | 0.0213961 | − | 0.0370591i | −0.855129 | − | 0.518415i | \(-0.826522\pi\) |
0.876525 | + | 0.481356i | \(0.159856\pi\) | |||||||
\(620\) | −12.0193 | + | 132.619i | −0.0193860 | + | 0.213901i | ||||
\(621\) | −179.543 | + | 637.128i | −0.289118 | + | 1.02597i | ||||
\(622\) | 26.1942 | + | 119.032i | 0.0421129 | + | 0.191370i | ||||
\(623\) | 394.389 | + | 277.645i | 0.633048 | + | 0.445658i | ||||
\(624\) | −253.891 | + | 529.835i | −0.406876 | + | 0.849095i | ||||
\(625\) | 109.723 | + | 190.046i | 0.175557 | + | 0.304074i | ||||
\(626\) | −517.813 | − | 164.154i | −0.827177 | − | 0.262226i | ||||
\(627\) | 8.16479 | + | 2.22536i | 0.0130220 | + | 0.00354921i | ||||
\(628\) | 459.079 | − | 651.301i | 0.731017 | − | 1.03710i | ||||
\(629\) | −250.394 | −0.398082 | ||||||||
\(630\) | −388.733 | + | 905.834i | −0.617037 | + | 1.43783i | ||||
\(631\) | − | 742.068i | − | 1.17602i | −0.808854 | − | 0.588009i | \(-0.799912\pi\) | ||
0.808854 | − | 0.588009i | \(-0.200088\pi\) | |||||||
\(632\) | 225.547 | − | 537.398i | 0.356878 | − | 0.850313i | ||||
\(633\) | 251.679 | − | 923.404i | 0.397596 | − | 1.45877i | ||||
\(634\) | 628.829 | + | 199.347i | 0.991844 | + | 0.314428i | ||||
\(635\) | 1110.61 | − | 641.209i | 1.74899 | − | 1.00978i | ||||
\(636\) | 183.506 | − | 151.677i | 0.288532 | − | 0.238486i | ||||
\(637\) | −457.488 | − | 387.844i | −0.718192 | − | 0.608860i | ||||
\(638\) | −30.6103 | − | 139.100i | −0.0479785 | − | 0.218025i | ||||
\(639\) | −44.2814 | − | 26.0753i | −0.0692980 | − | 0.0408064i | ||||
\(640\) | 838.626 | + | 547.218i | 1.31035 | + | 0.855027i | ||||
\(641\) | −669.774 | − | 386.694i | −1.04489 | − | 0.603267i | −0.123675 | − | 0.992323i | \(-0.539468\pi\) |
−0.921214 | + | 0.389056i | \(0.872801\pi\) | |||||||
\(642\) | 140.546 | − | 217.790i | 0.218918 | − | 0.339236i | ||||
\(643\) | −1030.15 | −1.60210 | −0.801050 | − | 0.598598i | \(-0.795725\pi\) | ||||
−0.801050 | + | 0.598598i | \(0.795725\pi\) | |||||||
\(644\) | −444.211 | + | 523.356i | −0.689769 | + | 0.812665i | ||||
\(645\) | 1042.66 | − | 274.590i | 1.61653 | − | 0.425720i | ||||
\(646\) | 12.3505 | + | 13.5204i | 0.0191184 | + | 0.0209294i | ||||
\(647\) | 839.685 | + | 484.793i | 1.29781 | + | 0.749293i | 0.980026 | − | 0.198869i | \(-0.0637268\pi\) |
0.317788 | + | 0.948162i | \(0.397060\pi\) | |||||||
\(648\) | 593.114 | + | 260.997i | 0.915300 | + | 0.402774i | ||||
\(649\) | 212.548 | − | 122.714i | 0.327500 | − | 0.189082i | ||||
\(650\) | −190.469 | − | 865.533i | −0.293029 | − | 1.33159i | ||||
\(651\) | −31.1363 | + | 83.7630i | −0.0478284 | + | 0.128668i | ||||
\(652\) | −329.690 | − | 712.816i | −0.505660 | − | 1.09328i | ||||
\(653\) | 492.369 | − | 284.270i | 0.754011 | − | 0.435329i | −0.0731302 | − | 0.997322i | \(-0.523299\pi\) |
0.827141 | + | 0.561994i | \(0.189966\pi\) | |||||||
\(654\) | 976.575 | + | 48.3647i | 1.49323 | + | 0.0739522i | ||||
\(655\) | −667.954 | − | 385.644i | −1.01978 | − | 0.588769i | ||||
\(656\) | 170.269 | + | 31.1189i | 0.259557 | + | 0.0474373i | ||||
\(657\) | −588.724 | − | 1040.22i | −0.896079 | − | 1.58329i | ||||
\(658\) | 43.3678 | − | 5.52907i | 0.0659086 | − | 0.00840285i | ||||
\(659\) | 394.416 | 0.598506 | 0.299253 | − | 0.954174i | \(-0.403262\pi\) | ||||
0.299253 | + | 0.954174i | \(0.403262\pi\) | |||||||
\(660\) | 261.921 | − | 703.362i | 0.396850 | − | 1.06570i | ||||
\(661\) | 428.308 | + | 247.284i | 0.647969 | + | 0.374105i | 0.787678 | − | 0.616087i | \(-0.211283\pi\) |
−0.139709 | + | 0.990193i | \(0.544617\pi\) | |||||||
\(662\) | −821.859 | − | 260.540i | −1.24148 | − | 0.393565i | ||||
\(663\) | 670.900 | + | 676.685i | 1.01192 | + | 1.02064i | ||||
\(664\) | −410.017 | − | 539.550i | −0.617495 | − | 0.812575i | ||||
\(665\) | 1.73277 | − | 19.2442i | 0.00260567 | − | 0.0289387i | ||||
\(666\) | 129.236 | − | 116.034i | 0.194048 | − | 0.174224i | ||||
\(667\) | −189.121 | + | 109.189i | −0.283540 | + | 0.163702i | ||||
\(668\) | 316.447 | + | 28.6798i | 0.473723 | + | 0.0429339i | ||||
\(669\) | 179.036 | + | 48.7973i | 0.267618 | + | 0.0729406i | ||||
\(670\) | −267.903 | + | 244.721i | −0.399855 | + | 0.365255i | ||||
\(671\) | 149.793i | 0.223239i | ||||||||
\(672\) | 446.706 | + | 502.034i | 0.664741 | + | 0.747074i | ||||
\(673\) | 753.333 | 1.11937 | 0.559683 | − | 0.828707i | \(-0.310923\pi\) | ||||
0.559683 | + | 0.828707i | \(0.310923\pi\) | |||||||
\(674\) | 500.655 | + | 548.082i | 0.742812 | + | 0.813178i | ||||
\(675\) | −947.338 | + | 240.807i | −1.40346 | + | 0.356752i | ||||
\(676\) | −6.92471 | + | 76.4058i | −0.0102437 | + | 0.113026i | ||||
\(677\) | −111.306 | − | 192.787i | −0.164410 | − | 0.284767i | 0.772036 | − | 0.635579i | \(-0.219239\pi\) |
−0.936446 | + | 0.350813i | \(0.885905\pi\) | |||||||
\(678\) | 435.699 | − | 223.580i | 0.642625 | − | 0.329765i | ||||
\(679\) | 28.1079 | + | 60.6784i | 0.0413961 | + | 0.0893643i | ||||
\(680\) | 1293.09 | − | 982.654i | 1.90161 | − | 1.44508i | ||||
\(681\) | −648.502 | − | 654.093i | −0.952279 | − | 0.960489i | ||||
\(682\) | 20.5619 | − | 64.8612i | 0.0301494 | − | 0.0951045i | ||||
\(683\) | −168.980 | + | 292.682i | −0.247408 | + | 0.428524i | −0.962806 | − | 0.270194i | \(-0.912912\pi\) |
0.715398 | + | 0.698718i | \(0.246246\pi\) | |||||||
\(684\) | −12.6399 | − | 1.25506i | −0.0184794 | − | 0.00183488i | ||||
\(685\) | 1219.69i | 1.78056i | ||||||||
\(686\) | −611.364 | + | 311.175i | −0.891202 | + | 0.453607i | ||||
\(687\) | −1107.94 | + | 291.781i | −1.61273 | + | 0.424718i | ||||
\(688\) | 132.152 | − | 723.078i | 0.192081 | − | 1.05099i | ||||
\(689\) | −121.420 | + | 210.306i | −0.176227 | + | 0.305234i | ||||
\(690\) | −1149.37 | − | 56.9224i | −1.66575 | − | 0.0824962i | ||||
\(691\) | 294.400 | + | 509.915i | 0.426049 | + | 0.737938i | 0.996518 | − | 0.0833809i | \(-0.0265718\pi\) |
−0.570469 | + | 0.821319i | \(0.693238\pi\) | |||||||
\(692\) | 250.237 | − | 115.739i | 0.361614 | − | 0.167253i | ||||
\(693\) | 293.467 | − | 409.352i | 0.423473 | − | 0.590695i | ||||
\(694\) | 392.248 | − | 86.3180i | 0.565198 | − | 0.124378i | ||||
\(695\) | −721.216 | − | 1249.18i | −1.03772 | − | 1.79738i | ||||
\(696\) | 80.0349 | + | 198.231i | 0.114993 | + | 0.284815i | ||||
\(697\) | 140.365 | − | 243.120i | 0.201385 | − | 0.348809i | ||||
\(698\) | −18.1249 | + | 16.5565i | −0.0259669 | + | 0.0237199i | ||||
\(699\) | −579.433 | + | 152.596i | −0.828945 | + | 0.218306i | ||||
\(700\) | −997.257 | − | 181.659i | −1.42465 | − | 0.259513i | ||||
\(701\) | 92.8099i | 0.132396i | 0.997806 | + | 0.0661982i | \(0.0210870\pi\) | ||||
−0.997806 | + | 0.0661982i | \(0.978913\pi\) | |||||||
\(702\) | −659.852 | − | 38.3604i | −0.939960 | − | 0.0546444i | ||||
\(703\) | −1.70226 | + | 2.94840i | −0.00242142 | + | 0.00419403i | ||||
\(704\) | −358.408 | − | 365.175i | −0.509102 | − | 0.518715i | ||||
\(705\) | 51.6011 | + | 52.0460i | 0.0731931 | + | 0.0738242i | ||||
\(706\) | 346.538 | − | 76.2592i | 0.490848 | − | 0.108016i | ||||
\(707\) | 57.2861 | − | 636.221i | 0.0810271 | − | 0.899888i | ||||
\(708\) | −283.941 | + | 234.692i | −0.401047 | + | 0.331485i | ||||
\(709\) | 35.2195 | + | 61.0019i | 0.0496749 | + | 0.0860394i | 0.889794 | − | 0.456363i | \(-0.150848\pi\) |
−0.840119 | + | 0.542402i | \(0.817515\pi\) | |||||||
\(710\) | 26.9972 | − | 85.1612i | 0.0380243 | − | 0.119945i | ||||
\(711\) | 655.638 | + | 5.62883i | 0.922134 | + | 0.00791678i | ||||
\(712\) | 508.268 | + | 213.321i | 0.713860 | + | 0.299609i | ||||
\(713\) | −104.326 | −0.146320 | ||||||||
\(714\) | 1010.40 | − | 408.631i | 1.41513 | − | 0.572313i | ||||
\(715\) | 765.565i | 1.07072i | ||||||||
\(716\) | −494.505 | − | 348.558i | −0.690649 | − | 0.486813i | ||||
\(717\) | −979.928 | − | 267.085i | −1.36671 | − | 0.372503i | ||||
\(718\) | 254.714 | − | 803.479i | 0.354754 | − | 1.11905i | ||||
\(719\) | 466.234 | − | 269.180i | 0.648448 | − | 0.374382i | −0.139413 | − | 0.990234i | \(-0.544522\pi\) |
0.787861 | + | 0.615853i | \(0.211188\pi\) | |||||||
\(720\) | −212.041 | + | 1106.40i | −0.294501 | + | 1.53667i | ||||
\(721\) | −370.263 | − | 260.661i | −0.513542 | − | 0.361527i | ||||
\(722\) | −704.885 | + | 155.117i | −0.976295 | + | 0.214844i | ||||
\(723\) | 377.707 | + | 380.964i | 0.522417 | + | 0.526921i | ||||
\(724\) | 1052.11 | + | 95.3536i | 1.45319 | + | 0.131704i | ||||
\(725\) | −279.268 | − | 161.235i | −0.385197 | − | 0.222393i | ||||
\(726\) | 185.707 | − | 287.772i | 0.255795 | − | 0.396380i | ||||
\(727\) | −442.776 | −0.609045 | −0.304523 | − | 0.952505i | \(-0.598497\pi\) | ||||
−0.304523 | + | 0.952505i | \(0.598497\pi\) | |||||||
\(728\) | −605.701 | − | 320.878i | −0.832007 | − | 0.440767i | ||||
\(729\) | −18.7735 | + | 728.758i | −0.0257524 | + | 0.999668i | ||||
\(730\) | 1534.21 | − | 1401.46i | 2.10166 | − | 1.91980i | ||||
\(731\) | −1032.45 | − | 596.086i | −1.41238 | − | 0.815439i | ||||
\(732\) | −37.4002 | − | 221.701i | −0.0510932 | − | 0.302870i | ||||
\(733\) | −192.095 | + | 110.906i | −0.262067 | + | 0.151305i | −0.625277 | − | 0.780403i | \(-0.715014\pi\) |
0.363210 | + | 0.931707i | \(0.381681\pi\) | |||||||
\(734\) | 533.934 | − | 117.497i | 0.727430 | − | 0.160078i | ||||
\(735\) | −1037.67 | − | 495.747i | −1.41179 | − | 0.674486i | ||||
\(736\) | −367.665 | + | 693.037i | −0.499545 | + | 0.941626i | ||||
\(737\) | 160.567 | − | 92.7034i | 0.217866 | − | 0.125785i | ||||
\(738\) | 40.2158 | + | 190.528i | 0.0544930 | + | 0.258168i | ||||
\(739\) | 38.2494 | + | 22.0833i | 0.0517583 | + | 0.0298827i | 0.525656 | − | 0.850697i | \(-0.323820\pi\) |
−0.473898 | + | 0.880580i | \(0.657153\pi\) | |||||||
\(740\) | 246.798 | + | 173.959i | 0.333511 | + | 0.235080i | ||||
\(741\) | 12.5290 | − | 3.29956i | 0.0169082 | − | 0.00445285i | ||||
\(742\) | 168.184 | + | 221.049i | 0.226664 | + | 0.297909i | ||||
\(743\) | −635.229 | −0.854951 | −0.427475 | − | 0.904027i | \(-0.640597\pi\) | ||||
−0.427475 | + | 0.904027i | \(0.640597\pi\) | |||||||
\(744\) | −14.2381 | + | 101.132i | −0.0191372 | + | 0.135929i | ||||
\(745\) | −1753.86 | − | 1012.59i | −2.35418 | − | 1.35919i | ||||
\(746\) | −224.744 | + | 708.943i | −0.301266 | + | 0.950326i | ||||
\(747\) | 386.840 | − | 656.936i | 0.517858 | − | 0.879432i | ||||
\(748\) | −753.209 | + | 348.373i | −1.00696 | + | 0.465739i | ||||
\(749\) | 247.273 | + | 174.077i | 0.330138 | + | 0.232413i | ||||
\(750\) | −240.068 | − | 467.830i | −0.320091 | − | 0.623774i | ||||
\(751\) | 148.900 | − | 85.9674i | 0.198269 | − | 0.114471i | −0.397579 | − | 0.917568i | \(-0.630150\pi\) |
0.595848 | + | 0.803097i | \(0.296816\pi\) | |||||||
\(752\) | 47.0568 | − | 16.7958i | 0.0625756 | − | 0.0223348i | ||||
\(753\) | −262.077 | + | 961.554i | −0.348043 | + | 1.27696i | ||||
\(754\) | −147.066 | − | 160.997i | −0.195047 | − | 0.213524i | ||||
\(755\) | 1232.07i | 1.63188i | ||||||||
\(756\) | −332.138 | + | 679.132i | −0.439336 | + | 0.898323i | ||||
\(757\) | 640.142 | 0.845630 | 0.422815 | − | 0.906216i | \(-0.361042\pi\) | ||||
0.422815 | + | 0.906216i | \(0.361042\pi\) | |||||||
\(758\) | 768.104 | − | 701.638i | 1.01333 | − | 0.925644i | ||||
\(759\) | 567.322 | + | 154.627i | 0.747460 | + | 0.203724i | ||||
\(760\) | −2.77992 | − | 21.9067i | −0.00365779 | − | 0.0288246i | ||||
\(761\) | −337.829 | − | 585.137i | −0.443928 | − | 0.768905i | 0.554049 | − | 0.832484i | \(-0.313082\pi\) |
−0.997977 | + | 0.0635787i | \(0.979749\pi\) | |||||||
\(762\) | 875.062 | − | 449.040i | 1.14837 | − | 0.589292i | ||||
\(763\) | −102.299 | + | 1136.14i | −0.134075 | + | 1.48904i | ||||
\(764\) | −212.314 | + | 98.1989i | −0.277897 | + | 0.128533i | ||||
\(765\) | 1574.42 | + | 927.107i | 2.05807 | + | 1.21190i | ||||
\(766\) | 820.520 | + | 260.116i | 1.07118 | + | 0.339577i | ||||
\(767\) | 187.875 | − | 325.409i | 0.244947 | − | 0.424261i | ||||
\(768\) | 621.637 | + | 450.989i | 0.809423 | + | 0.587226i | ||||
\(769\) | 463.605i | 0.602868i | 0.953487 | + | 0.301434i | \(0.0974653\pi\) | ||||
−0.953487 | + | 0.301434i | \(0.902535\pi\) | |||||||
\(770\) | 807.606 | + | 338.399i | 1.04884 | + | 0.439479i | ||||
\(771\) | 196.504 | + | 746.161i | 0.254869 | + | 0.967783i | ||||
\(772\) | −139.232 | − | 98.1395i | −0.180352 | − | 0.127124i | ||||
\(773\) | −217.301 | + | 376.376i | −0.281114 | + | 0.486903i | −0.971659 | − | 0.236386i | \(-0.924037\pi\) |
0.690546 | + | 0.723289i | \(0.257370\pi\) | |||||||
\(774\) | 809.110 | − | 170.784i | 1.04536 | − | 0.220651i | ||||
\(775\) | −77.0273 | − | 133.415i | −0.0993901 | − | 0.172149i | ||||
\(776\) | 46.2409 | + | 60.8494i | 0.0595889 | + | 0.0784142i | ||||
\(777\) | 129.186 | + | 156.109i | 0.166262 | + | 0.200912i | ||||
\(778\) | 181.624 | + | 825.337i | 0.233449 | + | 1.06084i | ||||
\(779\) | −1.90850 | − | 3.30562i | −0.00244994 | − | 0.00424341i | ||||
\(780\) | −191.145 | − | 1133.07i | −0.245058 | − | 1.45266i | ||||
\(781\) | −22.8247 | + | 39.5335i | −0.0292249 | + | 0.0506191i | ||||
\(782\) | 858.160 | + | 939.453i | 1.09739 | + | 1.20135i | ||||
\(783\) | −172.236 | + | 167.856i | −0.219969 | + | 0.214375i | ||||
\(784\) | −606.235 | + | 497.127i | −0.773259 | + | 0.634090i | ||||
\(785\) | 1558.45i | 1.98529i | ||||||||
\(786\) | −497.031 | − | 320.747i | −0.632354 | − | 0.408075i | ||||
\(787\) | −314.621 | + | 544.939i | −0.399772 | + | 0.692426i | −0.993698 | − | 0.112094i | \(-0.964244\pi\) |
0.593925 | + | 0.804520i | \(0.297578\pi\) | |||||||
\(788\) | 451.072 | + | 40.8810i | 0.572427 | + | 0.0518795i | ||||
\(789\) | 851.756 | − | 844.474i | 1.07954 | − | 1.07031i | ||||
\(790\) | 244.976 | + | 1113.22i | 0.310096 | + | 1.40914i | ||||
\(791\) | 240.145 | + | 518.416i | 0.303596 | + | 0.655393i | ||||
\(792\) | 227.318 | − | 528.847i | 0.287017 | − | 0.667736i | ||||
\(793\) | 114.666 | + | 198.608i | 0.144598 | + | 0.250451i | ||||
\(794\) | 441.005 | + | 139.804i | 0.555422 | + | 0.176076i | ||||
\(795\) | −122.444 | + | 449.243i | −0.154017 | + | 0.565086i | ||||
\(796\) | −1042.39 | − | 734.744i | −1.30954 | − | 0.923045i | ||||
\(797\) | −355.419 | −0.445946 | −0.222973 | − | 0.974825i | \(-0.571576\pi\) | ||||
−0.222973 | + | 0.974825i | \(0.571576\pi\) | |||||||
\(798\) | 2.05738 | − | 14.6755i | 0.00257818 | − | 0.0183904i | ||||
\(799\) | − | 81.0363i | − | 0.101422i | ||||||
\(800\) | −1157.73 | + | 41.5108i | −1.44717 | + | 0.0518885i | ||||
\(801\) | −5.32372 | + | 620.099i | −0.00664634 | + | 0.774155i | ||||
\(802\) | −77.5871 | − | 24.5961i | −0.0967420 | − | 0.0306685i | ||||
\(803\) | −919.528 | + | 530.890i | −1.14512 | + | 0.661133i | ||||
\(804\) | −214.501 | + | 177.296i | −0.266792 | + | 0.220517i | ||||
\(805\) | 120.400 | − | 1337.17i | 0.149565 | − | 1.66107i | ||||
\(806\) | −22.3885 | − | 101.738i | −0.0277773 | − | 0.126226i | ||||
\(807\) | −10.7133 | + | 10.6217i | −0.0132755 | + | 0.0131620i | ||||
\(808\) | −91.9052 | − | 724.243i | −0.113744 | − | 0.896340i | ||||
\(809\) | −35.3917 | − | 20.4334i | −0.0437474 | − | 0.0252576i | 0.477967 | − | 0.878378i | \(-0.341374\pi\) |
−0.521714 | + | 0.853120i | \(0.674707\pi\) | |||||||
\(810\) | −1242.24 | + | 251.086i | −1.53363 | + | 0.309983i | ||||
\(811\) | 686.654 | 0.846676 | 0.423338 | − | 0.905972i | \(-0.360858\pi\) | ||||
0.423338 | + | 0.905972i | \(0.360858\pi\) | |||||||
\(812\) | −234.845 | + | 83.9771i | −0.289218 | + | 0.103420i | ||||
\(813\) | −337.510 | − | 1281.58i | −0.415141 | − | 1.57636i | ||||
\(814\) | −104.057 | − | 113.914i | −0.127834 | − | 0.139943i | ||||
\(815\) | 1330.23 | + | 768.011i | 1.63219 | + | 0.942345i | ||||
\(816\) | 1027.80 | − | 703.668i | 1.25956 | − | 0.862338i | ||||
\(817\) | −14.0379 | + | 8.10478i | −0.0171822 | + | 0.00992017i | ||||
\(818\) | −147.118 | − | 668.536i | −0.179851 | − | 0.817281i | ||||
\(819\) | 75.7443 | − | 767.398i | 0.0924839 | − | 0.936994i | ||||
\(820\) | −307.255 | + | 142.111i | −0.374702 | + | 0.173306i | ||||
\(821\) | 719.205 | − | 415.233i | 0.876011 | − | 0.505765i | 0.00667021 | − | 0.999978i | \(-0.497877\pi\) |
0.869341 | + | 0.494212i | \(0.164543\pi\) | |||||||
\(822\) | −46.2708 | + | 934.294i | −0.0562905 | + | 1.13661i | ||||
\(823\) | −106.704 | − | 61.6055i | −0.129652 | − | 0.0748547i | 0.433771 | − | 0.901023i | \(-0.357183\pi\) |
−0.563423 | + | 0.826168i | \(0.690516\pi\) | |||||||
\(824\) | −477.177 | − | 200.272i | −0.579098 | − | 0.243049i | ||||
\(825\) | 221.131 | + | 839.672i | 0.268037 | + | 1.01778i | ||||
\(826\) | −260.233 | − | 342.031i | −0.315052 | − | 0.414081i | ||||
\(827\) | −1010.61 | −1.22202 | −0.611008 | − | 0.791624i | \(-0.709236\pi\) | ||||
−0.611008 | + | 0.791624i | \(0.709236\pi\) | |||||||
\(828\) | −878.271 | − | 87.2064i | −1.06071 | − | 0.105322i | ||||
\(829\) | −578.094 | − | 333.763i | −0.697339 | − | 0.402609i | 0.109017 | − | 0.994040i | \(-0.465230\pi\) |
−0.806356 | + | 0.591431i | \(0.798563\pi\) | |||||||
\(830\) | 1263.41 | + | 400.517i | 1.52218 | + | 0.482551i | ||||
\(831\) | 478.311 | − | 474.222i | 0.575585 | − | 0.570665i | ||||
\(832\) | −754.745 | − | 209.818i | −0.907146 | − | 0.252185i | ||||
\(833\) | 428.839 | + | 1197.06i | 0.514813 | + | 1.43704i | ||||
\(834\) | −505.070 | − | 984.248i | −0.605599 | − | 1.18015i | ||||
\(835\) | −538.186 | + | 310.722i | −0.644534 | + | 0.372122i | ||||
\(836\) | −1.01846 | + | 11.2374i | −0.00121825 | + | 0.0134419i | ||||
\(837\) | −111.354 | + | 28.3054i | −0.133039 | + | 0.0338177i | ||||
\(838\) | −1190.34 | + | 1087.33i | −1.42045 | + | 1.29754i | ||||
\(839\) | − | 1198.17i | − | 1.42810i | −0.700096 | − | 0.714049i | \(-0.746859\pi\) | ||
0.700096 | − | 0.714049i | \(-0.253141\pi\) | |||||||
\(840\) | −1279.79 | − | 299.204i | −1.52356 | − | 0.356196i | ||||
\(841\) | 761.658 | 0.905657 | ||||||||
\(842\) | 783.596 | + | 857.826i | 0.930637 | + | 1.01880i | ||||
\(843\) | 390.907 | − | 1434.23i | 0.463710 | − | 1.70134i | ||||
\(844\) | 1270.91 | + | 115.183i | 1.50582 | + | 0.136473i | ||||
\(845\) | −75.0234 | − | 129.944i | −0.0887851 | − | 0.153780i | ||||
\(846\) | 37.5526 | + | 41.8254i | 0.0443884 | + | 0.0494390i | ||||
\(847\) | 326.729 | + | 230.013i | 0.385749 | + | 0.271563i | ||||
\(848\) | 241.893 | + | 205.556i | 0.285251 | + | 0.242401i | ||||
\(849\) | 505.391 | − | 501.071i | 0.595278 | − | 0.590189i | ||||
\(850\) | −567.791 | + | 1791.06i | −0.667990 | + | 2.10714i | ||||
\(851\) | −118.280 | + | 204.867i | −0.138989 | + | 0.240736i | ||||
\(852\) | 23.9109 | − | 64.2103i | 0.0280644 | − | 0.0753642i | ||||
\(853\) | − | 5.36051i | − | 0.00628430i | −0.999995 | − | 0.00314215i | \(-0.999000\pi\) | ||
0.999995 | − | 0.00314215i | \(-0.00100018\pi\) | |||||||
\(854\) | 260.200 | − | 33.1735i | 0.304683 | − | 0.0388449i | ||||
\(855\) | 21.6202 | − | 12.2362i | 0.0252868 | − | 0.0143113i | ||||
\(856\) | 318.673 | + | 133.748i | 0.372281 | + | 0.156247i | ||||
\(857\) | −18.1042 | + | 31.3574i | −0.0211251 | + | 0.0365897i | −0.876395 | − | 0.481594i | \(-0.840058\pi\) |
0.855270 | + | 0.518183i | \(0.173391\pi\) | |||||||
\(858\) | −29.0429 | + | 586.431i | −0.0338496 | + | 0.683486i | ||||
\(859\) | −196.047 | − | 339.563i | −0.228227 | − | 0.395301i | 0.729056 | − | 0.684454i | \(-0.239960\pi\) |
−0.957283 | + | 0.289154i | \(0.906626\pi\) | |||||||
\(860\) | 603.500 | + | 1304.81i | 0.701744 | + | 1.51723i | ||||
\(861\) | −223.993 | + | 37.9215i | −0.260154 | + | 0.0440436i | ||||
\(862\) | −1672.49 | + | 368.048i | −1.94024 | + | 0.426969i | ||||
\(863\) | −139.392 | − | 241.435i | −0.161521 | − | 0.279762i | 0.773894 | − | 0.633316i | \(-0.218307\pi\) |
−0.935414 | + | 0.353554i | \(0.884973\pi\) | |||||||
\(864\) | −204.399 | + | 839.474i | −0.236573 | + | 0.971614i | ||||
\(865\) | −269.613 | + | 466.984i | −0.311691 | + | 0.539865i | ||||
\(866\) | 233.698 | − | 213.476i | 0.269860 | − | 0.246508i | ||||
\(867\) | −293.691 | − | 1115.20i | −0.338744 | − | 1.28627i | ||||
\(868\) | −117.221 | − | 21.3529i | −0.135048 | − | 0.0246001i | ||||
\(869\) | − | 582.438i | − | 0.670239i | ||||||
\(870\) | −351.308 | − | 226.709i | −0.403802 | − | 0.260585i | ||||
\(871\) | 141.928 | − | 245.827i | 0.162949 | − | 0.282235i | ||||
\(872\) | 164.121 | + | 1293.32i | 0.188212 | + | 1.48317i | ||||
\(873\) | −43.6271 | + | 74.0880i | −0.0499737 | + | 0.0848660i | ||||
\(874\) | 16.8962 | − | 3.71817i | 0.0193320 | − | 0.00425420i | ||||
\(875\) | 556.647 | − | 257.854i | 0.636168 | − | 0.294691i | ||||
\(876\) | 1228.39 | − | 1015.33i | 1.40227 | − | 1.15905i | ||||
\(877\) | −191.065 | − | 330.934i | −0.217862 | − | 0.377347i | 0.736292 | − | 0.676664i | \(-0.236575\pi\) |
−0.954154 | + | 0.299316i | \(0.903241\pi\) | |||||||
\(878\) | 403.898 | − | 1274.07i | 0.460021 | − | 1.45111i | ||||
\(879\) | −667.308 | − | 181.878i | −0.759167 | − | 0.206915i | ||||
\(880\) | 984.423 | + | 179.916i | 1.11866 | + | 0.204450i | ||||
\(881\) | −1441.89 | −1.63665 | −0.818323 | − | 0.574758i | \(-0.805096\pi\) | ||||
−0.818323 | + | 0.574758i | \(0.805096\pi\) | |||||||
\(882\) | −776.059 | − | 419.113i | −0.879886 | − | 0.475185i | ||||
\(883\) | − | 378.695i | − | 0.428873i | −0.976738 | − | 0.214437i | \(-0.931208\pi\) | ||
0.976738 | − | 0.214437i | \(-0.0687916\pi\) | |||||||
\(884\) | −731.985 | + | 1038.48i | −0.828037 | + | 1.17475i | ||||
\(885\) | 189.458 | − | 695.118i | 0.214077 | − | 0.785444i | ||||
\(886\) | 258.159 | − | 814.348i | 0.291376 | − | 0.919129i | ||||
\(887\) | −695.976 | + | 401.822i | −0.784641 | + | 0.453013i | −0.838072 | − | 0.545559i | \(-0.816317\pi\) |
0.0534317 | + | 0.998572i | \(0.482984\pi\) | |||||||
\(888\) | 182.451 | + | 142.617i | 0.205463 | + | 0.160605i | ||||
\(889\) | 482.308 | + | 1041.19i | 0.542529 | + | 1.17119i | ||||
\(890\) | −1052.88 | + | 231.697i | −1.18301 | + | 0.260334i | ||||
\(891\) | 647.491 | + | 11.1186i | 0.726701 | + | 0.0124788i | ||||
\(892\) | −22.3326 | + | 246.413i | −0.0250365 | + | 0.276248i | ||||
\(893\) | −0.954208 | − | 0.550912i | −0.00106854 | − | 0.000616923i | ||||
\(894\) | −1305.07 | − | 842.194i | −1.45981 | − | 0.942052i | ||||
\(895\) | 1183.26 | 1.32208 | ||||||||
\(896\) | −554.957 | + | 703.448i | −0.619371 | + | 0.785098i | ||||
\(897\) | 870.566 | − | 229.267i | 0.970531 | − | 0.255593i | ||||
\(898\) | −933.051 | + | 852.312i | −1.03903 | + | 0.949122i | ||||
\(899\) | −32.8262 | − | 18.9522i | −0.0365141 | − | 0.0210814i | ||||
\(900\) | −536.932 | − | 1187.54i | −0.596592 | − | 1.31949i | ||||
\(901\) | 445.867 | − | 257.421i | 0.494858 | − | 0.285706i | ||||
\(902\) | 168.937 | − | 37.1762i | 0.187291 | − | 0.0412153i | ||||
\(903\) | 161.040 | + | 951.225i | 0.178339 | + | 1.05340i | ||||
\(904\) | 395.067 | + | 519.877i | 0.437021 | + | 0.575085i | ||||
\(905\) | −1789.34 | + | 1033.08i | −1.97717 | + | 1.14152i | ||||
\(906\) | −46.7405 | + | 943.779i | −0.0515900 | + | 1.04170i | ||||
\(907\) | −373.141 | − | 215.433i | −0.411401 | − | 0.237522i | 0.279991 | − | 0.960003i | \(-0.409669\pi\) |
−0.691391 | + | 0.722480i | \(0.743002\pi\) | |||||||
\(908\) | 707.547 | − | 1003.81i | 0.779237 | − | 1.10551i | ||||
\(909\) | 714.772 | − | 404.532i | 0.786328 | − | 0.445030i | ||||
\(910\) | 1329.83 | − | 169.543i | 1.46135 | − | 0.186311i | ||||
\(911\) | 1323.73 | 1.45305 | 0.726525 | − | 0.687140i | \(-0.241134\pi\) | ||||
0.726525 | + | 0.687140i | \(0.241134\pi\) | |||||||
\(912\) | −1.29839 | − | 16.8862i | −0.00142367 | − | 0.0185156i | ||||
\(913\) | −586.499 | − | 338.615i | −0.642386 | − | 0.370882i | ||||
\(914\) | 476.110 | − | 1501.86i | 0.520908 | − | 1.64318i | ||||
\(915\) | 309.598 | + | 312.267i | 0.338358 | + | 0.341276i | ||||
\(916\) | −641.285 | − | 1386.51i | −0.700092 | − | 1.51365i | ||||
\(917\) | 397.272 | − | 564.316i | 0.433230 | − | 0.615394i | ||||
\(918\) | 1170.86 | + | 769.903i | 1.27544 | + | 0.838674i | ||||
\(919\) | 152.004 | − | 87.7597i | 0.165402 | − | 0.0954948i | −0.415014 | − | 0.909815i | \(-0.636223\pi\) |
0.580416 | + | 0.814320i | \(0.302890\pi\) | |||||||
\(920\) | −193.160 | − | 1522.16i | −0.209957 | − | 1.65453i | ||||
\(921\) | 489.718 | + | 133.475i | 0.531725 | + | 0.144924i | ||||
\(922\) | 493.185 | + | 539.904i | 0.534908 | + | 0.585580i | ||||
\(923\) | 69.8888i | 0.0757192i | ||||||||
\(924\) | 605.798 | + | 289.855i | 0.655625 | + | 0.313696i | ||||
\(925\) | −349.319 | −0.377642 | ||||||||
\(926\) | 583.069 | − | 532.615i | 0.629665 | − | 0.575178i | ||||
\(927\) | 4.99806 | − | 582.166i | 0.00539165 | − | 0.628011i | ||||
\(928\) | −241.585 | + | 151.273i | −0.260328 | + | 0.163009i | ||||
\(929\) | 207.223 | + | 358.921i | 0.223060 | + | 0.386352i | 0.955736 | − | 0.294227i | \(-0.0950620\pi\) |
−0.732676 | + | 0.680578i | \(0.761729\pi\) | |||||||
\(930\) | −91.1931 | − | 177.711i | −0.0980571 | − | 0.191087i | ||||
\(931\) | 17.0108 | + | 3.08839i | 0.0182716 | + | 0.00331728i | ||||
\(932\) | −335.379 | − | 725.116i | −0.359849 | − | 0.778021i | ||||
\(933\) | −128.718 | − | 129.827i | −0.137961 | − | 0.139150i | ||||
\(934\) | −2.26028 | − | 0.716539i | −0.00242000 | − | 0.000767172i | ||||
\(935\) | 811.531 | − | 1405.61i | 0.867948 | − | 1.50333i | ||||
\(936\) | −103.435 | − | 875.197i | −0.110507 | − | 0.935039i | ||||
\(937\) | − | 489.895i | − | 0.522834i | −0.965226 | − | 0.261417i | \(-0.915810\pi\) | ||
0.965226 | − | 0.261417i | \(-0.0841897\pi\) | |||||||
\(938\) | −196.591 | − | 258.384i | −0.209585 | − | 0.275463i | ||||
\(939\) | 787.948 | − | 207.509i | 0.839135 | − | 0.220989i | ||||
\(940\) | −56.2994 | + | 79.8727i | −0.0598929 | + | 0.0849710i | ||||
\(941\) | 499.374 | − | 864.941i | 0.530684 | − | 0.919172i | −0.468675 | − | 0.883371i | \(-0.655268\pi\) |
0.999359 | − | 0.0358010i | \(-0.0113982\pi\) | |||||||
\(942\) | −59.1223 | + | 1193.79i | −0.0627625 | + | 1.26729i | ||||
\(943\) | −132.610 | − | 229.688i | −0.140626 | − | 0.243571i | ||||
\(944\) | −374.283 | − | 318.059i | −0.396487 | − | 0.336926i | ||||
\(945\) | −234.285 | − | 1459.90i | −0.247920 | − | 1.54487i | ||||
\(946\) | −157.875 | − | 717.420i | −0.166887 | − | 0.758372i | ||||
\(947\) | 466.533 | + | 808.060i | 0.492644 | + | 0.853284i | 0.999964 | − | 0.00847376i | \(-0.00269731\pi\) |
−0.507321 | + | 0.861757i | \(0.669364\pi\) | |||||||
\(948\) | 145.422 | + | 862.036i | 0.153399 | + | 0.909320i | ||||
\(949\) | −812.788 | + | 1407.79i | −0.856468 | + | 1.48345i | ||||
\(950\) | 17.2299 | + | 18.8620i | 0.0181367 | + | 0.0198548i | ||||
\(951\) | −956.880 | + | 251.998i | −1.00618 | + | 0.264982i | ||||
\(952\) | 771.951 | + | 1231.22i | 0.810873 | + | 1.29329i | ||||
\(953\) | 941.690i | 0.988132i | 0.869424 | + | 0.494066i | \(0.164490\pi\) | ||||
−0.869424 | + | 0.494066i | \(0.835510\pi\) | |||||||
\(954\) | −110.836 | + | 339.480i | −0.116180 | + | 0.355849i | ||||
\(955\) | 228.753 | − | 396.213i | 0.239532 | − | 0.414882i | ||||
\(956\) | 122.234 | − | 1348.70i | 0.127860 | − | 1.41078i | ||||
\(957\) | 150.418 | + | 151.715i | 0.157176 | + | 0.158532i | ||||
\(958\) | −179.423 | − | 815.335i | −0.187289 | − | 0.851080i | ||||
\(959\) | −1086.95 | − | 97.8702i | −1.13342 | − | 0.102054i | ||||
\(960\) | −1501.91 | − | 20.4942i | −1.56449 | − | 0.0213481i | ||||
\(961\) | 471.446 | + | 816.568i | 0.490578 | + | 0.849707i | ||||
\(962\) | −225.167 | − | 71.3810i | −0.234062 | − | 0.0742006i | ||||
\(963\) | −3.33785 | + | 388.788i | −0.00346610 | + | 0.403726i | ||||
\(964\) | −412.097 | + | 584.648i | −0.427487 | + | 0.606482i | ||||
\(965\) | 333.158 | 0.345241 | ||||||||
\(966\) | 142.955 | − | 1019.72i | 0.147987 | − | 1.05561i | ||||
\(967\) | − | 1326.97i | − | 1.37225i | −0.727482 | − | 0.686127i | \(-0.759309\pi\) | ||
0.727482 | − | 0.686127i | \(-0.240691\pi\) | |||||||
\(968\) | 421.072 | + | 176.725i | 0.434991 | + | 0.182567i | ||||
\(969\) | −26.5015 | − | 7.22313i | −0.0273494 | − | 0.00745422i | ||||
\(970\) | −142.485 | − | 45.1696i | −0.146892 | − | 0.0465666i | ||||
\(971\) | −1045.09 | + | 603.381i | −1.07630 | + | 0.621402i | −0.929896 | − | 0.367823i | \(-0.880103\pi\) |
−0.146404 | + | 0.989225i | \(0.546770\pi\) | |||||||
\(972\) | −961.092 | + | 145.209i | −0.988778 | + | 0.149392i | ||||
\(973\) | 1171.11 | − | 542.489i | 1.20360 | − | 0.557542i | ||||
\(974\) | −282.647 | − | 1284.41i | −0.290192 | − | 1.31870i | ||||
\(975\) | 935.958 | + | 944.028i | 0.959957 | + | 0.968234i | ||||
\(976\) | 282.333 | − | 100.772i | 0.289276 | − | 0.103250i | ||||
\(977\) | −1279.70 | − | 738.836i | −1.30983 | − | 0.756230i | −0.327761 | − | 0.944761i | \(-0.606294\pi\) |
−0.982067 | + | 0.188531i | \(0.939627\pi\) | |||||||
\(978\) | 989.838 | + | 638.769i | 1.01210 | + | 0.653139i | ||||
\(979\) | 550.867 | 0.562683 | ||||||||
\(980\) | 408.965 | − | 1477.80i | 0.417311 | − | 1.50796i | ||||
\(981\) | −1276.41 | + | 722.397i | −1.30113 | + | 0.736389i | ||||
\(982\) | −978.236 | − | 1070.90i | −0.996167 | − | 1.09053i | ||||
\(983\) | −145.604 | − | 84.0647i | −0.148122 | − | 0.0855185i | 0.424107 | − | 0.905612i | \(-0.360588\pi\) |
−0.572230 | + | 0.820094i | \(0.693921\pi\) | |||||||
\(984\) | −240.752 | + | 97.2025i | −0.244667 | + | 0.0987830i | ||||
\(985\) | −767.145 | + | 442.911i | −0.778827 | + | 0.449656i | ||||
\(986\) | 99.3558 | + | 451.494i | 0.100767 | + | 0.457905i | ||||
\(987\) | −50.5224 | + | 41.8091i | −0.0511879 | + | 0.0423598i | ||||
\(988\) | 7.25186 | + | 15.6791i | 0.00733994 | + | 0.0158695i | ||||
\(989\) | −975.409 | + | 563.153i | −0.986258 | + | 0.569417i | ||||
\(990\) | 232.510 | + | 1101.55i | 0.234859 | + | 1.11268i | ||||
\(991\) | 1112.80 | + | 642.473i | 1.12290 | + | 0.648308i | 0.942140 | − | 0.335219i | \(-0.108810\pi\) |
0.180761 | + | 0.983527i | \(0.442144\pi\) | |||||||
\(992\) | −136.084 | + | 4.87934i | −0.137182 | + | 0.00491869i | ||||
\(993\) | 1250.61 | − | 329.353i | 1.25943 | − | 0.331675i | ||||
\(994\) | 73.7268 | + | 30.8926i | 0.0741718 | + | 0.0310791i | ||||
\(995\) | 2494.26 | 2.50679 | ||||||||
\(996\) | 952.590 | + | 354.730i | 0.956416 | + | 0.356155i | ||||
\(997\) | 859.446 | + | 496.201i | 0.862032 | + | 0.497695i | 0.864692 | − | 0.502302i | \(-0.167513\pi\) |
−0.00266003 | + | 0.999996i | \(0.500847\pi\) | |||||||
\(998\) | −1411.54 | − | 447.476i | −1.41437 | − | 0.448373i | ||||
\(999\) | −70.6636 | + | 250.758i | −0.0707343 | + | 0.251009i |
(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 | 84.3.j.a.59.8 | yes | 56 | |
3.2 | odd | 2 | inner | 84.3.j.a.59.21 | yes | 56 | |
4.3 | odd | 2 | inner | 84.3.j.a.59.17 | yes | 56 | |
7.5 | odd | 6 | inner | 84.3.j.a.47.12 | yes | 56 | |
12.11 | even | 2 | inner | 84.3.j.a.59.12 | yes | 56 | |
21.5 | even | 6 | inner | 84.3.j.a.47.17 | yes | 56 | |
28.19 | even | 6 | inner | 84.3.j.a.47.21 | yes | 56 | |
84.47 | odd | 6 | inner | 84.3.j.a.47.8 | ✓ | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
84.3.j.a.47.8 | ✓ | 56 | 84.47 | odd | 6 | inner | |
84.3.j.a.47.12 | yes | 56 | 7.5 | odd | 6 | inner | |
84.3.j.a.47.17 | yes | 56 | 21.5 | even | 6 | inner | |
84.3.j.a.47.21 | yes | 56 | 28.19 | even | 6 | inner | |
84.3.j.a.59.8 | yes | 56 | 1.1 | even | 1 | trivial | |
84.3.j.a.59.12 | yes | 56 | 12.11 | even | 2 | inner | |
84.3.j.a.59.17 | yes | 56 | 4.3 | odd | 2 | inner | |
84.3.j.a.59.21 | yes | 56 | 3.2 | odd | 2 | inner |