Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1205,2,Mod(724,1205)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1205, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1205.724");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1205 = 5 \cdot 241 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1205.b (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(9.62197344356\) |
Analytic rank: | \(0\) |
Dimension: | \(66\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 724.64 | ||
Character | \(\chi\) | \(=\) | 1205.724 |
Dual form | 1205.2.b.d.724.3 |
$q$-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 \(\left(\mathbb{Z}/1205\mathbb{Z}\right)^\times\).
\(n\) | \(242\) | \(971\) |
\(\chi(n)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.70326i | 1.91150i | 0.294187 | + | 0.955748i | \(0.404951\pi\) | ||||
−0.294187 | + | 0.955748i | \(0.595049\pi\) | |||||||
\(3\) | − | 3.35528i | − | 1.93717i | −0.248678 | − | 0.968586i | \(-0.579996\pi\) | ||
0.248678 | − | 0.968586i | \(-0.420004\pi\) | |||||||
\(4\) | −5.30763 | −2.65382 | ||||||||
\(5\) | 0.474898 | − | 2.18506i | 0.212381 | − | 0.977187i | ||||
\(6\) | 9.07021 | 3.70290 | ||||||||
\(7\) | − | 3.43095i | − | 1.29678i | −0.761310 | − | 0.648388i | \(-0.775444\pi\) | ||
0.761310 | − | 0.648388i | \(-0.224556\pi\) | |||||||
\(8\) | − | 8.94141i | − | 3.16126i | ||||||
\(9\) | −8.25791 | −2.75264 | ||||||||
\(10\) | 5.90678 | + | 1.28377i | 1.86789 | + | 0.405965i | ||||
\(11\) | 4.01571 | 1.21078 | 0.605391 | − | 0.795928i | \(-0.293017\pi\) | ||||
0.605391 | + | 0.795928i | \(0.293017\pi\) | |||||||
\(12\) | 17.8086i | 5.14090i | ||||||||
\(13\) | 0.273217i | 0.0757767i | 0.999282 | + | 0.0378884i | \(0.0120631\pi\) | ||||
−0.999282 | + | 0.0378884i | \(0.987937\pi\) | |||||||
\(14\) | 9.27475 | 2.47878 | ||||||||
\(15\) | −7.33148 | − | 1.59342i | −1.89298 | − | 0.411418i | ||||
\(16\) | 13.5557 | 3.38893 | ||||||||
\(17\) | − | 6.77517i | − | 1.64322i | −0.570049 | − | 0.821610i | \(-0.693076\pi\) | ||
0.570049 | − | 0.821610i | \(-0.306924\pi\) | |||||||
\(18\) | − | 22.3233i | − | 5.26166i | ||||||
\(19\) | 5.41206 | 1.24161 | 0.620805 | − | 0.783965i | \(-0.286806\pi\) | ||||
0.620805 | + | 0.783965i | \(0.286806\pi\) | |||||||
\(20\) | −2.52058 | + | 11.5975i | −0.563619 | + | 2.59328i | ||||
\(21\) | −11.5118 | −2.51208 | ||||||||
\(22\) | 10.8555i | 2.31441i | ||||||||
\(23\) | 2.33987i | 0.487897i | 0.969788 | + | 0.243949i | \(0.0784428\pi\) | ||||
−0.969788 | + | 0.243949i | \(0.921557\pi\) | |||||||
\(24\) | −30.0009 | −6.12391 | ||||||||
\(25\) | −4.54894 | − | 2.07536i | −0.909789 | − | 0.415071i | ||||
\(26\) | −0.738577 | −0.144847 | ||||||||
\(27\) | 17.6418i | 3.39516i | ||||||||
\(28\) | 18.2102i | 3.44140i | ||||||||
\(29\) | −3.85012 | −0.714949 | −0.357474 | − | 0.933923i | \(-0.616362\pi\) | ||||
−0.357474 | + | 0.933923i | \(0.616362\pi\) | |||||||
\(30\) | 4.30742 | − | 19.8189i | 0.786424 | − | 3.61842i | ||||
\(31\) | 0.673699 | 0.121000 | 0.0604999 | − | 0.998168i | \(-0.480731\pi\) | ||||
0.0604999 | + | 0.998168i | \(0.480731\pi\) | |||||||
\(32\) | 18.7618i | 3.31666i | ||||||||
\(33\) | − | 13.4738i | − | 2.34549i | ||||||
\(34\) | 18.3151 | 3.14101 | ||||||||
\(35\) | −7.49681 | − | 1.62935i | −1.26719 | − | 0.275410i | ||||
\(36\) | 43.8300 | 7.30500 | ||||||||
\(37\) | 4.50226i | 0.740168i | 0.928998 | + | 0.370084i | \(0.120671\pi\) | ||||
−0.928998 | + | 0.370084i | \(0.879329\pi\) | |||||||
\(38\) | 14.6302i | 2.37333i | ||||||||
\(39\) | 0.916720 | 0.146793 | ||||||||
\(40\) | −19.5375 | − | 4.24625i | −3.08915 | − | 0.671391i | ||||
\(41\) | −3.57192 | −0.557841 | −0.278920 | − | 0.960314i | \(-0.589977\pi\) | ||||
−0.278920 | + | 0.960314i | \(0.589977\pi\) | |||||||
\(42\) | − | 31.1194i | − | 4.80183i | ||||||
\(43\) | 0.816401i | 0.124500i | 0.998061 | + | 0.0622500i | \(0.0198276\pi\) | ||||
−0.998061 | + | 0.0622500i | \(0.980172\pi\) | |||||||
\(44\) | −21.3139 | −3.21319 | ||||||||
\(45\) | −3.92166 | + | 18.0440i | −0.584607 | + | 2.68984i | ||||
\(46\) | −6.32529 | −0.932613 | ||||||||
\(47\) | − | 1.60364i | − | 0.233915i | −0.993137 | − | 0.116957i | \(-0.962686\pi\) | ||
0.993137 | − | 0.116957i | \(-0.0373141\pi\) | |||||||
\(48\) | − | 45.4832i | − | 6.56494i | ||||||
\(49\) | −4.77138 | −0.681626 | ||||||||
\(50\) | 5.61024 | − | 12.2970i | 0.793407 | − | 1.73906i | ||||
\(51\) | −22.7326 | −3.18320 | ||||||||
\(52\) | − | 1.45014i | − | 0.201098i | ||||||
\(53\) | − | 4.44393i | − | 0.610421i | −0.952285 | − | 0.305210i | \(-0.901273\pi\) | ||
0.952285 | − | 0.305210i | \(-0.0987268\pi\) | |||||||
\(54\) | −47.6904 | −6.48984 | ||||||||
\(55\) | 1.90705 | − | 8.77455i | 0.257147 | − | 1.18316i | ||||
\(56\) | −30.6775 | −4.09945 | ||||||||
\(57\) | − | 18.1590i | − | 2.40521i | ||||||
\(58\) | − | 10.4079i | − | 1.36662i | ||||||
\(59\) | −0.529530 | −0.0689390 | −0.0344695 | − | 0.999406i | \(-0.510974\pi\) | ||||
−0.0344695 | + | 0.999406i | \(0.510974\pi\) | |||||||
\(60\) | 38.9128 | + | 8.45726i | 5.02362 | + | 1.09183i | ||||
\(61\) | −6.64845 | −0.851246 | −0.425623 | − | 0.904900i | \(-0.639945\pi\) | ||||
−0.425623 | + | 0.904900i | \(0.639945\pi\) | |||||||
\(62\) | 1.82119i | 0.231291i | ||||||||
\(63\) | 28.3324i | 3.56955i | ||||||||
\(64\) | −23.6068 | −2.95085 | ||||||||
\(65\) | 0.596994 | + | 0.129750i | 0.0740480 | + | 0.0160935i | ||||
\(66\) | 36.4233 | 4.48340 | ||||||||
\(67\) | − | 7.41240i | − | 0.905568i | −0.891620 | − | 0.452784i | \(-0.850431\pi\) | ||
0.891620 | − | 0.452784i | \(-0.149569\pi\) | |||||||
\(68\) | 35.9601i | 4.36081i | ||||||||
\(69\) | 7.85093 | 0.945141 | ||||||||
\(70\) | 4.40456 | − | 20.2659i | 0.526445 | − | 2.42223i | ||||
\(71\) | 14.8394 | 1.76112 | 0.880559 | − | 0.473937i | \(-0.157168\pi\) | ||||
0.880559 | + | 0.473937i | \(0.157168\pi\) | |||||||
\(72\) | 73.8373i | 8.70181i | ||||||||
\(73\) | 3.73531i | 0.437184i | 0.975816 | + | 0.218592i | \(0.0701465\pi\) | ||||
−0.975816 | + | 0.218592i | \(0.929854\pi\) | |||||||
\(74\) | −12.1708 | −1.41483 | ||||||||
\(75\) | −6.96340 | + | 15.2630i | −0.804065 | + | 1.76242i | ||||
\(76\) | −28.7252 | −3.29501 | ||||||||
\(77\) | − | 13.7777i | − | 1.57011i | ||||||
\(78\) | 2.47813i | 0.280593i | ||||||||
\(79\) | −3.17183 | −0.356859 | −0.178430 | − | 0.983953i | \(-0.557102\pi\) | ||||
−0.178430 | + | 0.983953i | \(0.557102\pi\) | |||||||
\(80\) | 6.43757 | − | 29.6200i | 0.719743 | − | 3.31162i | ||||
\(81\) | 34.4194 | 3.82437 | ||||||||
\(82\) | − | 9.65585i | − | 1.06631i | ||||||
\(83\) | 13.2562i | 1.45506i | 0.686077 | + | 0.727529i | \(0.259331\pi\) | ||||
−0.686077 | + | 0.727529i | \(0.740669\pi\) | |||||||
\(84\) | 61.1003 | 6.66659 | ||||||||
\(85\) | −14.8041 | − | 3.21751i | −1.60573 | − | 0.348988i | ||||
\(86\) | −2.20695 | −0.237981 | ||||||||
\(87\) | 12.9182i | 1.38498i | ||||||||
\(88\) | − | 35.9061i | − | 3.82760i | ||||||
\(89\) | −1.74820 | −0.185309 | −0.0926547 | − | 0.995698i | \(-0.529535\pi\) | ||||
−0.0926547 | + | 0.995698i | \(0.529535\pi\) | |||||||
\(90\) | −48.7777 | − | 10.6013i | −5.14162 | − | 1.11747i | ||||
\(91\) | 0.937392 | 0.0982654 | ||||||||
\(92\) | − | 12.4192i | − | 1.29479i | ||||||
\(93\) | − | 2.26045i | − | 0.234398i | ||||||
\(94\) | 4.33506 | 0.447127 | ||||||||
\(95\) | 2.57017 | − | 11.8256i | 0.263694 | − | 1.21329i | ||||
\(96\) | 62.9513 | 6.42494 | ||||||||
\(97\) | 1.39934i | 0.142081i | 0.997473 | + | 0.0710407i | \(0.0226320\pi\) | ||||
−0.997473 | + | 0.0710407i | \(0.977368\pi\) | |||||||
\(98\) | − | 12.8983i | − | 1.30293i | ||||||
\(99\) | −33.1614 | −3.33284 | ||||||||
\(100\) | 24.1441 | + | 11.0152i | 2.41441 | + | 1.10152i | ||||
\(101\) | 5.84086 | 0.581187 | 0.290593 | − | 0.956847i | \(-0.406147\pi\) | ||||
0.290593 | + | 0.956847i | \(0.406147\pi\) | |||||||
\(102\) | − | 61.4522i | − | 6.08468i | ||||||
\(103\) | 0.444988i | 0.0438460i | 0.999760 | + | 0.0219230i | \(0.00697887\pi\) | ||||
−0.999760 | + | 0.0219230i | \(0.993021\pi\) | |||||||
\(104\) | 2.44294 | 0.239550 | ||||||||
\(105\) | −5.46692 | + | 25.1539i | −0.533517 | + | 2.45477i | ||||
\(106\) | 12.0131 | 1.16682 | ||||||||
\(107\) | − | 1.92184i | − | 0.185792i | −0.995676 | − | 0.0928959i | \(-0.970388\pi\) | ||
0.995676 | − | 0.0928959i | \(-0.0296124\pi\) | |||||||
\(108\) | − | 93.6361i | − | 9.01014i | ||||||
\(109\) | 7.36107 | 0.705063 | 0.352531 | − | 0.935800i | \(-0.385321\pi\) | ||||
0.352531 | + | 0.935800i | \(0.385321\pi\) | |||||||
\(110\) | 23.7199 | + | 5.15526i | 2.26161 | + | 0.491535i | ||||
\(111\) | 15.1064 | 1.43383 | ||||||||
\(112\) | − | 46.5089i | − | 4.39468i | ||||||
\(113\) | 14.6826i | 1.38122i | 0.723228 | + | 0.690609i | \(0.242658\pi\) | ||||
−0.723228 | + | 0.690609i | \(0.757342\pi\) | |||||||
\(114\) | 49.0885 | 4.59756 | ||||||||
\(115\) | 5.11275 | + | 1.11120i | 0.476767 | + | 0.103620i | ||||
\(116\) | 20.4350 | 1.89734 | ||||||||
\(117\) | − | 2.25620i | − | 0.208586i | ||||||
\(118\) | − | 1.43146i | − | 0.131777i | ||||||
\(119\) | −23.2452 | −2.13089 | ||||||||
\(120\) | −14.2474 | + | 65.5537i | −1.30060 | + | 5.98421i | ||||
\(121\) | 5.12592 | 0.465993 | ||||||||
\(122\) | − | 17.9725i | − | 1.62715i | ||||||
\(123\) | 11.9848i | 1.08063i | ||||||||
\(124\) | −3.57575 | −0.321112 | ||||||||
\(125\) | −6.69505 | + | 8.95412i | −0.598824 | + | 0.800881i | ||||
\(126\) | −76.5901 | −6.82318 | ||||||||
\(127\) | − | 19.1178i | − | 1.69643i | −0.529649 | − | 0.848217i | \(-0.677676\pi\) | ||
0.529649 | − | 0.848217i | \(-0.322324\pi\) | |||||||
\(128\) | − | 26.2917i | − | 2.32388i | ||||||
\(129\) | 2.73925 | 0.241178 | ||||||||
\(130\) | −0.350749 | + | 1.61383i | −0.0307627 | + | 0.141543i | ||||
\(131\) | −15.4821 | −1.35267 | −0.676337 | − | 0.736592i | \(-0.736434\pi\) | ||||
−0.676337 | + | 0.736592i | \(0.736434\pi\) | |||||||
\(132\) | 71.5142i | 6.22451i | ||||||||
\(133\) | − | 18.5685i | − | 1.61009i | ||||||
\(134\) | 20.0377 | 1.73099 | ||||||||
\(135\) | 38.5483 | + | 8.37804i | 3.31771 | + | 0.721067i | ||||
\(136\) | −60.5796 | −5.19466 | ||||||||
\(137\) | 9.02561i | 0.771110i | 0.922685 | + | 0.385555i | \(0.125990\pi\) | ||||
−0.922685 | + | 0.385555i | \(0.874010\pi\) | |||||||
\(138\) | 21.2231i | 1.80663i | ||||||||
\(139\) | −2.06894 | −0.175485 | −0.0877427 | − | 0.996143i | \(-0.527965\pi\) | ||||
−0.0877427 | + | 0.996143i | \(0.527965\pi\) | |||||||
\(140\) | 39.7903 | + | 8.64798i | 3.36290 | + | 0.730888i | ||||
\(141\) | −5.38066 | −0.453134 | ||||||||
\(142\) | 40.1149i | 3.36637i | ||||||||
\(143\) | 1.09716i | 0.0917491i | ||||||||
\(144\) | −111.942 | −9.32849 | ||||||||
\(145\) | −1.82841 | + | 8.41273i | −0.151841 | + | 0.698639i | ||||
\(146\) | −10.0975 | −0.835676 | ||||||||
\(147\) | 16.0093i | 1.32043i | ||||||||
\(148\) | − | 23.8964i | − | 1.96427i | ||||||
\(149\) | 21.0000 | 1.72039 | 0.860195 | − | 0.509965i | \(-0.170342\pi\) | ||||
0.860195 | + | 0.509965i | \(0.170342\pi\) | |||||||
\(150\) | −41.2599 | − | 18.8239i | −3.36886 | − | 1.53697i | ||||
\(151\) | 19.8081 | 1.61196 | 0.805979 | − | 0.591944i | \(-0.201640\pi\) | ||||
0.805979 | + | 0.591944i | \(0.201640\pi\) | |||||||
\(152\) | − | 48.3914i | − | 3.92506i | ||||||
\(153\) | 55.9488i | 4.52319i | ||||||||
\(154\) | 37.2447 | 3.00126 | ||||||||
\(155\) | 0.319938 | − | 1.47207i | 0.0256980 | − | 0.118240i | ||||
\(156\) | −4.86561 | −0.389561 | ||||||||
\(157\) | 5.88284i | 0.469502i | 0.972056 | + | 0.234751i | \(0.0754274\pi\) | ||||
−0.972056 | + | 0.234751i | \(0.924573\pi\) | |||||||
\(158\) | − | 8.57430i | − | 0.682135i | ||||||
\(159\) | −14.9106 | −1.18249 | ||||||||
\(160\) | 40.9957 | + | 8.90995i | 3.24099 | + | 0.704394i | ||||
\(161\) | 8.02797 | 0.632693 | ||||||||
\(162\) | 93.0446i | 7.31028i | ||||||||
\(163\) | − | 4.04268i | − | 0.316647i | −0.987387 | − | 0.158324i | \(-0.949391\pi\) | ||
0.987387 | − | 0.158324i | \(-0.0506089\pi\) | |||||||
\(164\) | 18.9585 | 1.48041 | ||||||||
\(165\) | −29.4411 | − | 6.39869i | −2.29199 | − | 0.498138i | ||||
\(166\) | −35.8350 | −2.78134 | ||||||||
\(167\) | 5.11166i | 0.395552i | 0.980247 | + | 0.197776i | \(0.0633719\pi\) | ||||
−0.980247 | + | 0.197776i | \(0.936628\pi\) | |||||||
\(168\) | 102.932i | 7.94134i | ||||||||
\(169\) | 12.9254 | 0.994258 | ||||||||
\(170\) | 8.69779 | − | 40.0195i | 0.667090 | − | 3.06935i | ||||
\(171\) | −44.6923 | −3.41770 | ||||||||
\(172\) | − | 4.33316i | − | 0.330400i | ||||||
\(173\) | 8.24097i | 0.626549i | 0.949663 | + | 0.313275i | \(0.101426\pi\) | ||||
−0.949663 | + | 0.313275i | \(0.898574\pi\) | |||||||
\(174\) | −34.9214 | −2.64738 | ||||||||
\(175\) | −7.12043 | + | 15.6072i | −0.538254 | + | 1.17979i | ||||
\(176\) | 54.4358 | 4.10325 | ||||||||
\(177\) | 1.77672i | 0.133547i | ||||||||
\(178\) | − | 4.72586i | − | 0.354218i | ||||||
\(179\) | −8.47962 | −0.633797 | −0.316898 | − | 0.948460i | \(-0.602641\pi\) | ||||
−0.316898 | + | 0.948460i | \(0.602641\pi\) | |||||||
\(180\) | 20.8148 | − | 95.7710i | 1.55144 | − | 7.13835i | ||||
\(181\) | 4.59151 | 0.341284 | 0.170642 | − | 0.985333i | \(-0.445416\pi\) | ||||
0.170642 | + | 0.985333i | \(0.445416\pi\) | |||||||
\(182\) | 2.53402i | 0.187834i | ||||||||
\(183\) | 22.3074i | 1.64901i | ||||||||
\(184\) | 20.9217 | 1.54237 | ||||||||
\(185\) | 9.83770 | + | 2.13811i | 0.723282 | + | 0.157197i | ||||
\(186\) | 6.11059 | 0.448050 | ||||||||
\(187\) | − | 27.2071i | − | 1.98958i | ||||||
\(188\) | 8.51153i | 0.620767i | ||||||||
\(189\) | 60.5280 | 4.40276 | ||||||||
\(190\) | 31.9678 | + | 6.94785i | 2.31919 | + | 0.504050i | ||||
\(191\) | 5.24071 | 0.379205 | 0.189602 | − | 0.981861i | \(-0.439280\pi\) | ||||
0.189602 | + | 0.981861i | \(0.439280\pi\) | |||||||
\(192\) | 79.2074i | 5.71630i | ||||||||
\(193\) | − | 19.6142i | − | 1.41186i | −0.708283 | − | 0.705929i | \(-0.750530\pi\) | ||
0.708283 | − | 0.705929i | \(-0.249470\pi\) | |||||||
\(194\) | −3.78279 | −0.271588 | ||||||||
\(195\) | 0.435348 | − | 2.00308i | 0.0311759 | − | 0.143444i | ||||
\(196\) | 25.3248 | 1.80891 | ||||||||
\(197\) | − | 23.3595i | − | 1.66430i | −0.554554 | − | 0.832148i | \(-0.687111\pi\) | ||
0.554554 | − | 0.832148i | \(-0.312889\pi\) | |||||||
\(198\) | − | 89.6439i | − | 6.37072i | ||||||
\(199\) | −2.25607 | −0.159928 | −0.0799642 | − | 0.996798i | \(-0.525481\pi\) | ||||
−0.0799642 | + | 0.996798i | \(0.525481\pi\) | |||||||
\(200\) | −18.5566 | + | 40.6740i | −1.31215 | + | 2.87608i | ||||
\(201\) | −24.8707 | −1.75424 | ||||||||
\(202\) | 15.7894i | 1.11094i | ||||||||
\(203\) | 13.2095i | 0.927128i | ||||||||
\(204\) | 120.656 | 8.44764 | ||||||||
\(205\) | −1.69630 | + | 7.80486i | −0.118475 | + | 0.545115i | ||||
\(206\) | −1.20292 | −0.0838115 | ||||||||
\(207\) | − | 19.3225i | − | 1.34300i | ||||||
\(208\) | 3.70365i | 0.256802i | ||||||||
\(209\) | 21.7332 | 1.50332 | ||||||||
\(210\) | −67.9976 | − | 14.7785i | −4.69228 | − | 1.01982i | ||||
\(211\) | −8.17208 | −0.562589 | −0.281294 | − | 0.959622i | \(-0.590764\pi\) | ||||
−0.281294 | + | 0.959622i | \(0.590764\pi\) | |||||||
\(212\) | 23.5868i | 1.61995i | ||||||||
\(213\) | − | 49.7905i | − | 3.41159i | ||||||
\(214\) | 5.19525 | 0.355140 | ||||||||
\(215\) | 1.78388 | + | 0.387707i | 0.121660 | + | 0.0264414i | ||||
\(216\) | 157.742 | 10.7330 | ||||||||
\(217\) | − | 2.31142i | − | 0.156910i | ||||||
\(218\) | 19.8989i | 1.34772i | ||||||||
\(219\) | 12.5330 | 0.846902 | ||||||||
\(220\) | −10.1219 | + | 46.5721i | −0.682420 | + | 3.13989i | ||||
\(221\) | 1.85109 | 0.124518 | ||||||||
\(222\) | 40.8365i | 2.74076i | ||||||||
\(223\) | − | 7.17999i | − | 0.480807i | −0.970673 | − | 0.240404i | \(-0.922720\pi\) | ||
0.970673 | − | 0.240404i | \(-0.0772798\pi\) | |||||||
\(224\) | 64.3709 | 4.30096 | ||||||||
\(225\) | 37.5648 | + | 17.1381i | 2.50432 | + | 1.14254i | ||||
\(226\) | −39.6908 | −2.64019 | ||||||||
\(227\) | − | 7.51999i | − | 0.499119i | −0.968359 | − | 0.249560i | \(-0.919714\pi\) | ||
0.968359 | − | 0.249560i | \(-0.0802858\pi\) | |||||||
\(228\) | 96.3812i | 6.38300i | ||||||||
\(229\) | −24.0760 | −1.59098 | −0.795492 | − | 0.605964i | \(-0.792788\pi\) | ||||
−0.795492 | + | 0.605964i | \(0.792788\pi\) | |||||||
\(230\) | −3.00387 | + | 13.8211i | −0.198069 | + | 0.911338i | ||||
\(231\) | −46.2280 | −3.04158 | ||||||||
\(232\) | 34.4255i | 2.26014i | ||||||||
\(233\) | 6.80438i | 0.445770i | 0.974845 | + | 0.222885i | \(0.0715474\pi\) | ||||
−0.974845 | + | 0.222885i | \(0.928453\pi\) | |||||||
\(234\) | 6.09911 | 0.398711 | ||||||||
\(235\) | −3.50404 | − | 0.761565i | −0.228579 | − | 0.0496790i | ||||
\(236\) | 2.81055 | 0.182951 | ||||||||
\(237\) | 10.6424i | 0.691298i | ||||||||
\(238\) | − | 62.8380i | − | 4.07318i | ||||||
\(239\) | −11.7624 | −0.760846 | −0.380423 | − | 0.924813i | \(-0.624222\pi\) | ||||
−0.380423 | + | 0.924813i | \(0.624222\pi\) | |||||||
\(240\) | −99.3834 | − | 21.5999i | −6.41517 | − | 1.39427i | ||||
\(241\) | −1.00000 | −0.0644157 | ||||||||
\(242\) | 13.8567i | 0.890744i | ||||||||
\(243\) | − | 62.5614i | − | 4.01331i | ||||||
\(244\) | 35.2875 | 2.25905 | ||||||||
\(245\) | −2.26592 | + | 10.4257i | −0.144764 | + | 0.666076i | ||||
\(246\) | −32.3981 | −2.06563 | ||||||||
\(247\) | 1.47866i | 0.0940852i | ||||||||
\(248\) | − | 6.02381i | − | 0.382513i | ||||||
\(249\) | 44.4783 | 2.81870 | ||||||||
\(250\) | −24.2053 | − | 18.0985i | −1.53088 | − | 1.14465i | ||||
\(251\) | 3.13511 | 0.197886 | 0.0989431 | − | 0.995093i | \(-0.468454\pi\) | ||||
0.0989431 | + | 0.995093i | \(0.468454\pi\) | |||||||
\(252\) | − | 150.378i | − | 9.47294i | ||||||
\(253\) | 9.39625i | 0.590737i | ||||||||
\(254\) | 51.6805 | 3.24273 | ||||||||
\(255\) | −10.7957 | + | 49.6720i | −0.676051 | + | 3.11058i | ||||
\(256\) | 23.8598 | 1.49124 | ||||||||
\(257\) | − | 12.7199i | − | 0.793444i | −0.917939 | − | 0.396722i | \(-0.870148\pi\) | ||
0.917939 | − | 0.396722i | \(-0.129852\pi\) | |||||||
\(258\) | 7.40493i | 0.461011i | ||||||||
\(259\) | 15.4470 | 0.959831 | ||||||||
\(260\) | −3.16863 | − | 0.688666i | −0.196510 | − | 0.0427092i | ||||
\(261\) | 31.7939 | 1.96800 | ||||||||
\(262\) | − | 41.8521i | − | 2.58563i | ||||||
\(263\) | − | 24.6778i | − | 1.52170i | −0.648930 | − | 0.760848i | \(-0.724783\pi\) | ||
0.648930 | − | 0.760848i | \(-0.275217\pi\) | |||||||
\(264\) | −120.475 | −7.41473 | ||||||||
\(265\) | −9.71024 | − | 2.11041i | −0.596495 | − | 0.129642i | ||||
\(266\) | 50.1955 | 3.07768 | ||||||||
\(267\) | 5.86572i | 0.358976i | ||||||||
\(268\) | 39.3423i | 2.40321i | ||||||||
\(269\) | 8.25882 | 0.503549 | 0.251775 | − | 0.967786i | \(-0.418986\pi\) | ||||
0.251775 | + | 0.967786i | \(0.418986\pi\) | |||||||
\(270\) | −22.6480 | + | 104.206i | −1.37832 | + | 6.34178i | ||||
\(271\) | −32.7163 | −1.98737 | −0.993687 | − | 0.112184i | \(-0.964215\pi\) | ||||
−0.993687 | + | 0.112184i | \(0.964215\pi\) | |||||||
\(272\) | − | 91.8423i | − | 5.56876i | ||||||
\(273\) | − | 3.14521i | − | 0.190357i | ||||||
\(274\) | −24.3986 | −1.47397 | ||||||||
\(275\) | −18.2672 | − | 8.33403i | −1.10156 | − | 0.502561i | ||||
\(276\) | −41.6699 | −2.50823 | ||||||||
\(277\) | 28.7866i | 1.72962i | 0.502099 | + | 0.864810i | \(0.332561\pi\) | ||||
−0.502099 | + | 0.864810i | \(0.667439\pi\) | |||||||
\(278\) | − | 5.59290i | − | 0.335440i | ||||||
\(279\) | −5.56335 | −0.333069 | ||||||||
\(280\) | −14.5687 | + | 67.0320i | −0.870644 | + | 4.00593i | ||||
\(281\) | 27.8460 | 1.66115 | 0.830577 | − | 0.556903i | \(-0.188011\pi\) | ||||
0.830577 | + | 0.556903i | \(0.188011\pi\) | |||||||
\(282\) | − | 14.5454i | − | 0.866163i | ||||||
\(283\) | 20.2368i | 1.20295i | 0.798891 | + | 0.601476i | \(0.205420\pi\) | ||||
−0.798891 | + | 0.601476i | \(0.794580\pi\) | |||||||
\(284\) | −78.7623 | −4.67368 | ||||||||
\(285\) | −39.6784 | − | 8.62365i | −2.35034 | − | 0.510821i | ||||
\(286\) | −2.96591 | −0.175378 | ||||||||
\(287\) | 12.2551i | 0.723394i | ||||||||
\(288\) | − | 154.934i | − | 9.12955i | ||||||
\(289\) | −28.9030 | −1.70017 | ||||||||
\(290\) | −22.7418 | − | 4.94268i | −1.33545 | − | 0.290244i | ||||
\(291\) | 4.69518 | 0.275236 | ||||||||
\(292\) | − | 19.8256i | − | 1.16021i | ||||||
\(293\) | − | 11.8673i | − | 0.693294i | −0.937996 | − | 0.346647i | \(-0.887320\pi\) | ||
0.937996 | − | 0.346647i | \(-0.112680\pi\) | |||||||
\(294\) | −43.2775 | −2.52399 | ||||||||
\(295\) | −0.251473 | + | 1.15705i | −0.0146413 | + | 0.0673663i | ||||
\(296\) | 40.2566 | 2.33987 | ||||||||
\(297\) | 70.8442i | 4.11080i | ||||||||
\(298\) | 56.7686i | 3.28852i | ||||||||
\(299\) | −0.639293 | −0.0369712 | ||||||||
\(300\) | 36.9592 | − | 81.0104i | 2.13384 | − | 4.67713i | ||||
\(301\) | 2.80103 | 0.161449 | ||||||||
\(302\) | 53.5464i | 3.08125i | ||||||||
\(303\) | − | 19.5977i | − | 1.12586i | ||||||
\(304\) | 73.3643 | 4.20773 | ||||||||
\(305\) | −3.15733 | + | 14.5272i | −0.180788 | + | 0.831827i | ||||
\(306\) | −151.244 | −8.64606 | ||||||||
\(307\) | − | 4.23151i | − | 0.241505i | −0.992683 | − | 0.120753i | \(-0.961469\pi\) | ||
0.992683 | − | 0.120753i | \(-0.0385308\pi\) | |||||||
\(308\) | 73.1269i | 4.16679i | ||||||||
\(309\) | 1.49306 | 0.0849373 | ||||||||
\(310\) | 3.97939 | + | 0.864877i | 0.226014 | + | 0.0491217i | ||||
\(311\) | 29.4486 | 1.66988 | 0.834938 | − | 0.550344i | \(-0.185503\pi\) | ||||
0.834938 | + | 0.550344i | \(0.185503\pi\) | |||||||
\(312\) | − | 8.19676i | − | 0.464050i | ||||||
\(313\) | − | 25.7917i | − | 1.45783i | −0.684602 | − | 0.728917i | \(-0.740024\pi\) | ||
0.684602 | − | 0.728917i | \(-0.259976\pi\) | |||||||
\(314\) | −15.9029 | −0.897451 | ||||||||
\(315\) | 61.9080 | + | 13.4550i | 3.48812 | + | 0.758104i | ||||
\(316\) | 16.8349 | 0.947039 | ||||||||
\(317\) | − | 20.4033i | − | 1.14597i | −0.819568 | − | 0.572983i | \(-0.805786\pi\) | ||
0.819568 | − | 0.572983i | \(-0.194214\pi\) | |||||||
\(318\) | − | 40.3074i | − | 2.26033i | ||||||
\(319\) | −15.4610 | −0.865647 | ||||||||
\(320\) | −11.2108 | + | 51.5822i | −0.626703 | + | 2.88353i | ||||
\(321\) | −6.44833 | −0.359911 | ||||||||
\(322\) | 21.7017i | 1.20939i | ||||||||
\(323\) | − | 36.6676i | − | 2.04024i | ||||||
\(324\) | −182.685 | −10.1492 | ||||||||
\(325\) | 0.567022 | − | 1.24285i | 0.0314527 | − | 0.0689408i | ||||
\(326\) | 10.9284 | 0.605270 | ||||||||
\(327\) | − | 24.6985i | − | 1.36583i | ||||||
\(328\) | 31.9380i | 1.76348i | ||||||||
\(329\) | −5.50200 | −0.303335 | ||||||||
\(330\) | 17.2974 | − | 79.5870i | 0.952188 | − | 4.38112i | ||||
\(331\) | −2.39711 | −0.131757 | −0.0658784 | − | 0.997828i | \(-0.520985\pi\) | ||||
−0.0658784 | + | 0.997828i | \(0.520985\pi\) | |||||||
\(332\) | − | 70.3591i | − | 3.86146i | ||||||
\(333\) | − | 37.1793i | − | 2.03741i | ||||||
\(334\) | −13.8182 | −0.756097 | ||||||||
\(335\) | −16.1965 | − | 3.52013i | −0.884910 | − | 0.192325i | ||||
\(336\) | −156.050 | −8.51325 | ||||||||
\(337\) | 26.9613i | 1.46868i | 0.678783 | + | 0.734339i | \(0.262508\pi\) | ||||
−0.678783 | + | 0.734339i | \(0.737492\pi\) | |||||||
\(338\) | 34.9406i | 1.90052i | ||||||||
\(339\) | 49.2641 | 2.67566 | ||||||||
\(340\) | 78.5749 | + | 17.0774i | 4.26132 | + | 0.926151i | ||||
\(341\) | 2.70538 | 0.146504 | ||||||||
\(342\) | − | 120.815i | − | 6.53293i | ||||||
\(343\) | − | 7.64626i | − | 0.412859i | ||||||
\(344\) | 7.29977 | 0.393577 | ||||||||
\(345\) | 3.72839 | − | 17.1547i | 0.200730 | − | 0.923579i | ||||
\(346\) | −22.2775 | −1.19765 | ||||||||
\(347\) | − | 24.7328i | − | 1.32773i | −0.747854 | − | 0.663863i | \(-0.768916\pi\) | ||
0.747854 | − | 0.663863i | \(-0.231084\pi\) | |||||||
\(348\) | − | 68.5652i | − | 3.67548i | ||||||
\(349\) | 12.1569 | 0.650745 | 0.325373 | − | 0.945586i | \(-0.394510\pi\) | ||||
0.325373 | + | 0.945586i | \(0.394510\pi\) | |||||||
\(350\) | −42.1903 | − | 19.2484i | −2.25517 | − | 1.02887i | ||||
\(351\) | −4.82003 | −0.257274 | ||||||||
\(352\) | 75.3421i | 4.01575i | ||||||||
\(353\) | − | 35.0021i | − | 1.86297i | −0.363775 | − | 0.931487i | \(-0.618512\pi\) | ||
0.363775 | − | 0.931487i | \(-0.381488\pi\) | |||||||
\(354\) | −4.80295 | −0.255274 | ||||||||
\(355\) | 7.04722 | − | 32.4250i | 0.374027 | − | 1.72094i | ||||
\(356\) | 9.27883 | 0.491777 | ||||||||
\(357\) | 77.9943i | 4.12790i | ||||||||
\(358\) | − | 22.9226i | − | 1.21150i | ||||||
\(359\) | 8.10869 | 0.427960 | 0.213980 | − | 0.976838i | \(-0.431357\pi\) | ||||
0.213980 | + | 0.976838i | \(0.431357\pi\) | |||||||
\(360\) | 161.339 | + | 35.0652i | 8.50330 | + | 1.84810i | ||||
\(361\) | 10.2903 | 0.541597 | ||||||||
\(362\) | 12.4121i | 0.652363i | ||||||||
\(363\) | − | 17.1989i | − | 0.902709i | ||||||
\(364\) | −4.97533 | −0.260778 | ||||||||
\(365\) | 8.16185 | + | 1.77389i | 0.427211 | + | 0.0928495i | ||||
\(366\) | −60.3028 | −3.15208 | ||||||||
\(367\) | 17.4433i | 0.910531i | 0.890356 | + | 0.455266i | \(0.150456\pi\) | ||||
−0.890356 | + | 0.455266i | \(0.849544\pi\) | |||||||
\(368\) | 31.7186i | 1.65345i | ||||||||
\(369\) | 29.4966 | 1.53553 | ||||||||
\(370\) | −5.77989 | + | 26.5939i | −0.300482 | + | 1.38255i | ||||
\(371\) | −15.2469 | −0.791579 | ||||||||
\(372\) | 11.9976i | 0.622048i | ||||||||
\(373\) | − | 3.19117i | − | 0.165233i | −0.996581 | − | 0.0826163i | \(-0.973672\pi\) | ||
0.996581 | − | 0.0826163i | \(-0.0263276\pi\) | |||||||
\(374\) | 73.5480 | 3.80308 | ||||||||
\(375\) | 30.0436 | + | 22.4638i | 1.55144 | + | 1.16003i | ||||
\(376\) | −14.3388 | −0.739467 | ||||||||
\(377\) | − | 1.05192i | − | 0.0541765i | ||||||
\(378\) | 163.623i | 8.41586i | ||||||||
\(379\) | 0.832901 | 0.0427833 | 0.0213916 | − | 0.999771i | \(-0.493190\pi\) | ||||
0.0213916 | + | 0.999771i | \(0.493190\pi\) | |||||||
\(380\) | −13.6415 | + | 62.7662i | −0.699796 | + | 3.21984i | ||||
\(381\) | −64.1457 | −3.28628 | ||||||||
\(382\) | 14.1670i | 0.724849i | ||||||||
\(383\) | − | 26.4615i | − | 1.35212i | −0.736846 | − | 0.676061i | \(-0.763686\pi\) | ||
0.736846 | − | 0.676061i | \(-0.236314\pi\) | |||||||
\(384\) | −88.2160 | −4.50175 | ||||||||
\(385\) | −30.1050 | − | 6.54299i | −1.53429 | − | 0.333462i | ||||
\(386\) | 53.0222 | 2.69876 | ||||||||
\(387\) | − | 6.74177i | − | 0.342703i | ||||||
\(388\) | − | 7.42719i | − | 0.377058i | ||||||
\(389\) | −15.4436 | −0.783021 | −0.391510 | − | 0.920174i | \(-0.628047\pi\) | ||||
−0.391510 | + | 0.920174i | \(0.628047\pi\) | |||||||
\(390\) | 5.41486 | + | 1.17686i | 0.274192 | + | 0.0595926i | ||||
\(391\) | 15.8530 | 0.801723 | ||||||||
\(392\) | 42.6629i | 2.15480i | ||||||||
\(393\) | 51.9467i | 2.62036i | ||||||||
\(394\) | 63.1469 | 3.18130 | ||||||||
\(395\) | −1.50630 | + | 6.93064i | −0.0757900 | + | 0.348718i | ||||
\(396\) | 176.008 | 8.84476 | ||||||||
\(397\) | − | 18.9929i | − | 0.953226i | −0.879113 | − | 0.476613i | \(-0.841864\pi\) | ||
0.879113 | − | 0.476613i | \(-0.158136\pi\) | |||||||
\(398\) | − | 6.09874i | − | 0.305702i | ||||||
\(399\) | −62.3024 | −3.11902 | ||||||||
\(400\) | −61.6642 | − | 28.1329i | −3.08321 | − | 1.40665i | ||||
\(401\) | 15.9990 | 0.798952 | 0.399476 | − | 0.916744i | \(-0.369192\pi\) | ||||
0.399476 | + | 0.916744i | \(0.369192\pi\) | |||||||
\(402\) | − | 67.2320i | − | 3.35323i | ||||||
\(403\) | 0.184066i | 0.00916898i | ||||||||
\(404\) | −31.0011 | −1.54236 | ||||||||
\(405\) | 16.3457 | − | 75.2083i | 0.812223 | − | 3.73713i | ||||
\(406\) | −35.7089 | −1.77220 | ||||||||
\(407\) | 18.0798i | 0.896182i | ||||||||
\(408\) | 203.262i | 10.0629i | ||||||||
\(409\) | −33.9863 | −1.68051 | −0.840257 | − | 0.542189i | \(-0.817596\pi\) | ||||
−0.840257 | + | 0.542189i | \(0.817596\pi\) | |||||||
\(410\) | −21.0986 | − | 4.58554i | −1.04198 | − | 0.226464i | ||||
\(411\) | 30.2835 | 1.49377 | ||||||||
\(412\) | − | 2.36184i | − | 0.116359i | ||||||
\(413\) | 1.81679i | 0.0893984i | ||||||||
\(414\) | 52.2337 | 2.56715 | ||||||||
\(415\) | 28.9655 | + | 6.29534i | 1.42186 | + | 0.309026i | ||||
\(416\) | −5.12605 | −0.251325 | ||||||||
\(417\) | 6.94189i | 0.339946i | ||||||||
\(418\) | 58.7507i | 2.87359i | ||||||||
\(419\) | 13.0756 | 0.638787 | 0.319394 | − | 0.947622i | \(-0.396521\pi\) | ||||
0.319394 | + | 0.947622i | \(0.396521\pi\) | |||||||
\(420\) | 29.0164 | − | 133.508i | 1.41586 | − | 6.51451i | ||||
\(421\) | −5.32603 | −0.259575 | −0.129787 | − | 0.991542i | \(-0.541430\pi\) | ||||
−0.129787 | + | 0.991542i | \(0.541430\pi\) | |||||||
\(422\) | − | 22.0913i | − | 1.07539i | ||||||
\(423\) | 13.2427i | 0.643883i | ||||||||
\(424\) | −39.7350 | −1.92970 | ||||||||
\(425\) | −14.0609 | + | 30.8199i | −0.682054 | + | 1.49498i | ||||
\(426\) | 134.597 | 6.52124 | ||||||||
\(427\) | 22.8105i | 1.10388i | ||||||||
\(428\) | 10.2004i | 0.493057i | ||||||||
\(429\) | 3.68128 | 0.177734 | ||||||||
\(430\) | −1.04807 | + | 4.82230i | −0.0505426 | + | 0.232552i | ||||
\(431\) | 10.5429 | 0.507831 | 0.253916 | − | 0.967226i | \(-0.418281\pi\) | ||||
0.253916 | + | 0.967226i | \(0.418281\pi\) | |||||||
\(432\) | 239.147i | 11.5060i | ||||||||
\(433\) | 33.9409i | 1.63110i | 0.578689 | + | 0.815548i | \(0.303565\pi\) | ||||
−0.578689 | + | 0.815548i | \(0.696435\pi\) | |||||||
\(434\) | 6.24839 | 0.299932 | ||||||||
\(435\) | 28.2271 | + | 6.13484i | 1.35338 | + | 0.294143i | ||||
\(436\) | −39.0699 | −1.87111 | ||||||||
\(437\) | 12.6635i | 0.605778i | ||||||||
\(438\) | 33.8800i | 1.61885i | ||||||||
\(439\) | −16.5413 | −0.789473 | −0.394736 | − | 0.918794i | \(-0.629164\pi\) | ||||
−0.394736 | + | 0.918794i | \(0.629164\pi\) | |||||||
\(440\) | −78.4568 | − | 17.0517i | −3.74028 | − | 0.812909i | ||||
\(441\) | 39.4017 | 1.87627 | ||||||||
\(442\) | 5.00399i | 0.238015i | ||||||||
\(443\) | − | 3.26455i | − | 0.155104i | −0.996988 | − | 0.0775518i | \(-0.975290\pi\) | ||
0.996988 | − | 0.0775518i | \(-0.0247103\pi\) | |||||||
\(444\) | −80.1790 | −3.80513 | ||||||||
\(445\) | −0.830218 | + | 3.81993i | −0.0393561 | + | 0.181082i | ||||
\(446\) | 19.4094 | 0.919061 | ||||||||
\(447\) | − | 70.4610i | − | 3.33269i | ||||||
\(448\) | 80.9936i | 3.82659i | ||||||||
\(449\) | −18.7302 | −0.883934 | −0.441967 | − | 0.897031i | \(-0.645719\pi\) | ||||
−0.441967 | + | 0.897031i | \(0.645719\pi\) | |||||||
\(450\) | −46.3288 | + | 101.548i | −2.18396 | + | 4.78700i | ||||
\(451\) | −14.3438 | −0.675424 | ||||||||
\(452\) | − | 77.9296i | − | 3.66550i | ||||||
\(453\) | − | 66.4616i | − | 3.12264i | ||||||
\(454\) | 20.3285 | 0.954064 | ||||||||
\(455\) | 0.445165 | − | 2.04825i | 0.0208697 | − | 0.0960237i | ||||
\(456\) | −162.367 | −7.60352 | ||||||||
\(457\) | − | 26.0758i | − | 1.21978i | −0.792487 | − | 0.609888i | \(-0.791214\pi\) | ||
0.792487 | − | 0.609888i | \(-0.208786\pi\) | |||||||
\(458\) | − | 65.0837i | − | 3.04116i | ||||||
\(459\) | 119.526 | 5.57900 | ||||||||
\(460\) | −27.1366 | − | 5.89784i | −1.26525 | − | 0.274988i | ||||
\(461\) | 20.1258 | 0.937353 | 0.468676 | − | 0.883370i | \(-0.344731\pi\) | ||||
0.468676 | + | 0.883370i | \(0.344731\pi\) | |||||||
\(462\) | − | 124.966i | − | 5.81396i | ||||||
\(463\) | − | 3.72503i | − | 0.173117i | −0.996247 | − | 0.0865585i | \(-0.972413\pi\) | ||
0.996247 | − | 0.0865585i | \(-0.0275869\pi\) | |||||||
\(464\) | −52.1911 | −2.42291 | ||||||||
\(465\) | −4.93921 | − | 1.07348i | −0.229050 | − | 0.0497815i | ||||
\(466\) | −18.3940 | −0.852087 | ||||||||
\(467\) | 42.7555i | 1.97849i | 0.146269 | + | 0.989245i | \(0.453273\pi\) | ||||
−0.146269 | + | 0.989245i | \(0.546727\pi\) | |||||||
\(468\) | 11.9751i | 0.553549i | ||||||||
\(469\) | −25.4315 | −1.17432 | ||||||||
\(470\) | 2.05871 | − | 9.47236i | 0.0949612 | − | 0.436927i | ||||
\(471\) | 19.7386 | 0.909506 | ||||||||
\(472\) | 4.73475i | 0.217934i | ||||||||
\(473\) | 3.27843i | 0.150742i | ||||||||
\(474\) | −28.7692 | −1.32141 | ||||||||
\(475\) | −24.6191 | − | 11.2319i | −1.12960 | − | 0.515357i | ||||
\(476\) | 123.377 | 5.65499 | ||||||||
\(477\) | 36.6976i | 1.68027i | ||||||||
\(478\) | − | 31.7968i | − | 1.45435i | ||||||
\(479\) | −19.0042 | −0.868326 | −0.434163 | − | 0.900834i | \(-0.642956\pi\) | ||||
−0.434163 | + | 0.900834i | \(0.642956\pi\) | |||||||
\(480\) | 29.8954 | − | 137.552i | 1.36453 | − | 6.27836i | ||||
\(481\) | −1.23009 | −0.0560875 | ||||||||
\(482\) | − | 2.70326i | − | 0.123130i | ||||||
\(483\) | − | 26.9361i | − | 1.22564i | ||||||
\(484\) | −27.2065 | −1.23666 | ||||||||
\(485\) | 3.05764 | + | 0.664543i | 0.138840 | + | 0.0301754i | ||||
\(486\) | 169.120 | 7.67143 | ||||||||
\(487\) | − | 13.8722i | − | 0.628609i | −0.949322 | − | 0.314305i | \(-0.898229\pi\) | ||
0.949322 | − | 0.314305i | \(-0.101771\pi\) | |||||||
\(488\) | 59.4465i | 2.69101i | ||||||||
\(489\) | −13.5643 | −0.613400 | ||||||||
\(490\) | −28.1835 | − | 6.12538i | −1.27320 | − | 0.276716i | ||||
\(491\) | 8.57923 | 0.387175 | 0.193588 | − | 0.981083i | \(-0.437988\pi\) | ||||
0.193588 | + | 0.981083i | \(0.437988\pi\) | |||||||
\(492\) | − | 63.6110i | − | 2.86780i | ||||||
\(493\) | 26.0852i | 1.17482i | ||||||||
\(494\) | −3.99722 | −0.179843 | ||||||||
\(495\) | −15.7483 | + | 72.4595i | −0.707832 | + | 3.25681i | ||||
\(496\) | 9.13247 | 0.410060 | ||||||||
\(497\) | − | 50.9133i | − | 2.28377i | ||||||
\(498\) | 120.237i | 5.38793i | ||||||||
\(499\) | −16.5238 | −0.739706 | −0.369853 | − | 0.929090i | \(-0.620592\pi\) | ||||
−0.369853 | + | 0.929090i | \(0.620592\pi\) | |||||||
\(500\) | 35.5349 | − | 47.5252i | 1.58917 | − | 2.12539i | ||||
\(501\) | 17.1511 | 0.766253 | ||||||||
\(502\) | 8.47502i | 0.378259i | ||||||||
\(503\) | 41.3259i | 1.84263i | 0.388814 | + | 0.921316i | \(0.372885\pi\) | ||||
−0.388814 | + | 0.921316i | \(0.627115\pi\) | |||||||
\(504\) | 253.332 | 11.2843 | ||||||||
\(505\) | 2.77381 | − | 12.7626i | 0.123433 | − | 0.567928i | ||||
\(506\) | −25.4005 | −1.12919 | ||||||||
\(507\) | − | 43.3682i | − | 1.92605i | ||||||
\(508\) | 101.470i | 4.50202i | ||||||||
\(509\) | 38.9093 | 1.72462 | 0.862311 | − | 0.506378i | \(-0.169016\pi\) | ||||
0.862311 | + | 0.506378i | \(0.169016\pi\) | |||||||
\(510\) | −134.277 | − | 29.1835i | −5.94587 | − | 1.29227i | ||||
\(511\) | 12.8156 | 0.566930 | ||||||||
\(512\) | 11.9159i | 0.526613i | ||||||||
\(513\) | 95.4783i | 4.21547i | ||||||||
\(514\) | 34.3852 | 1.51667 | ||||||||
\(515\) | 0.972325 | + | 0.211324i | 0.0428458 | + | 0.00931205i | ||||
\(516\) | −14.5390 | −0.640042 | ||||||||
\(517\) | − | 6.43975i | − | 0.283220i | ||||||
\(518\) | 41.7574i | 1.83471i | ||||||||
\(519\) | 27.6508 | 1.21373 | ||||||||
\(520\) | 1.16015 | − | 5.33797i | 0.0508759 | − | 0.234085i | ||||
\(521\) | −11.4043 | −0.499631 | −0.249815 | − | 0.968294i | \(-0.580370\pi\) | ||||
−0.249815 | + | 0.968294i | \(0.580370\pi\) | |||||||
\(522\) | 85.9474i | 3.76181i | ||||||||
\(523\) | − | 26.0626i | − | 1.13964i | −0.821770 | − | 0.569819i | \(-0.807013\pi\) | ||
0.821770 | − | 0.569819i | \(-0.192987\pi\) | |||||||
\(524\) | 82.1731 | 3.58975 | ||||||||
\(525\) | 52.3665 | + | 23.8911i | 2.28546 | + | 1.04269i | ||||
\(526\) | 66.7105 | 2.90872 | ||||||||
\(527\) | − | 4.56443i | − | 0.198830i | ||||||
\(528\) | − | 182.647i | − | 7.94871i | ||||||
\(529\) | 17.5250 | 0.761956 | ||||||||
\(530\) | 5.70500 | − | 26.2493i | 0.247809 | − | 1.14020i | ||||
\(531\) | 4.37282 | 0.189764 | ||||||||
\(532\) | 98.5546i | 4.27288i | ||||||||
\(533\) | − | 0.975910i | − | 0.0422714i | ||||||
\(534\) | −15.8566 | −0.686181 | ||||||||
\(535\) | −4.19934 | − | 0.912680i | −0.181553 | − | 0.0394586i | ||||
\(536\) | −66.2772 | −2.86274 | ||||||||
\(537\) | 28.4515i | 1.22777i | ||||||||
\(538\) | 22.3258i | 0.962532i | ||||||||
\(539\) | −19.1605 | −0.825301 | ||||||||
\(540\) | −204.600 | − | 44.4675i | −8.80459 | − | 1.91358i | ||||
\(541\) | 16.0881 | 0.691682 | 0.345841 | − | 0.938293i | \(-0.387594\pi\) | ||||
0.345841 | + | 0.938293i | \(0.387594\pi\) | |||||||
\(542\) | − | 88.4408i | − | 3.79886i | ||||||
\(543\) | − | 15.4058i | − | 0.661126i | ||||||
\(544\) | 127.115 | 5.45000 | ||||||||
\(545\) | 3.49576 | − | 16.0844i | 0.149742 | − | 0.688978i | ||||
\(546\) | 8.50234 | 0.363867 | ||||||||
\(547\) | − | 32.6032i | − | 1.39401i | −0.717064 | − | 0.697007i | \(-0.754515\pi\) | ||
0.717064 | − | 0.697007i | \(-0.245485\pi\) | |||||||
\(548\) | − | 47.9047i | − | 2.04639i | ||||||
\(549\) | 54.9023 | 2.34317 | ||||||||
\(550\) | 22.5291 | − | 49.3812i | 0.960643 | − | 2.10562i | ||||
\(551\) | −20.8371 | −0.887688 | ||||||||
\(552\) | − | 70.1983i | − | 2.98784i | ||||||
\(553\) | 10.8824i | 0.462766i | ||||||||
\(554\) | −77.8178 | −3.30616 | ||||||||
\(555\) | 7.17398 | − | 33.0083i | 0.304518 | − | 1.40112i | ||||
\(556\) | 10.9812 | 0.465706 | ||||||||
\(557\) | 25.3965i | 1.07608i | 0.842918 | + | 0.538042i | \(0.180836\pi\) | ||||
−0.842918 | + | 0.538042i | \(0.819164\pi\) | |||||||
\(558\) | − | 15.0392i | − | 0.636660i | ||||||
\(559\) | −0.223055 | −0.00943420 | ||||||||
\(560\) | −101.625 | − | 22.0870i | −4.29442 | − | 0.933345i | ||||
\(561\) | −91.2876 | −3.85416 | ||||||||
\(562\) | 75.2752i | 3.17529i | ||||||||
\(563\) | 20.7748i | 0.875553i | 0.899084 | + | 0.437776i | \(0.144234\pi\) | ||||
−0.899084 | + | 0.437776i | \(0.855766\pi\) | |||||||
\(564\) | 28.5586 | 1.20253 | ||||||||
\(565\) | 32.0822 | + | 6.97271i | 1.34971 | + | 0.293344i | ||||
\(566\) | −54.7054 | −2.29944 | ||||||||
\(567\) | − | 118.091i | − | 4.95935i | ||||||
\(568\) | − | 132.685i | − | 5.56736i | ||||||
\(569\) | 31.7927 | 1.33282 | 0.666409 | − | 0.745586i | \(-0.267831\pi\) | ||||
0.666409 | + | 0.745586i | \(0.267831\pi\) | |||||||
\(570\) | 23.3120 | − | 107.261i | 0.976432 | − | 4.49267i | ||||
\(571\) | 5.77539 | 0.241693 | 0.120846 | − | 0.992671i | \(-0.461439\pi\) | ||||
0.120846 | + | 0.992671i | \(0.461439\pi\) | |||||||
\(572\) | − | 5.82332i | − | 0.243485i | ||||||
\(573\) | − | 17.5841i | − | 0.734585i | ||||||
\(574\) | −33.1287 | −1.38277 | ||||||||
\(575\) | 4.85607 | − | 10.6439i | 0.202512 | − | 0.443883i | ||||
\(576\) | 194.943 | 8.12262 | ||||||||
\(577\) | − | 24.5448i | − | 1.02181i | −0.859636 | − | 0.510907i | \(-0.829310\pi\) | ||
0.859636 | − | 0.510907i | \(-0.170690\pi\) | |||||||
\(578\) | − | 78.1323i | − | 3.24988i | ||||||
\(579\) | −65.8110 | −2.73501 | ||||||||
\(580\) | 9.70454 | − | 44.6517i | 0.402959 | − | 1.85406i | ||||
\(581\) | 45.4813 | 1.88688 | ||||||||
\(582\) | 12.6923i | 0.526113i | ||||||||
\(583\) | − | 17.8455i | − | 0.739087i | ||||||
\(584\) | 33.3989 | 1.38206 | ||||||||
\(585\) | −4.92993 | − | 1.07146i | −0.203827 | − | 0.0442996i | ||||
\(586\) | 32.0804 | 1.32523 | ||||||||
\(587\) | 7.25772i | 0.299558i | 0.988719 | + | 0.149779i | \(0.0478563\pi\) | ||||
−0.988719 | + | 0.149779i | \(0.952144\pi\) | |||||||
\(588\) | − | 84.9717i | − | 3.50417i | ||||||
\(589\) | 3.64610 | 0.150235 | ||||||||
\(590\) | −3.12782 | − | 0.679797i | −0.128770 | − | 0.0279868i | ||||
\(591\) | −78.3777 | −3.22403 | ||||||||
\(592\) | 61.0314i | 2.50837i | ||||||||
\(593\) | 30.2173i | 1.24087i | 0.784256 | + | 0.620437i | \(0.213045\pi\) | ||||
−0.784256 | + | 0.620437i | \(0.786955\pi\) | |||||||
\(594\) | −191.511 | −7.85778 | ||||||||
\(595\) | −11.0391 | + | 50.7922i | −0.452559 | + | 2.08228i | ||||
\(596\) | −111.461 | −4.56560 | ||||||||
\(597\) | 7.56974i | 0.309809i | ||||||||
\(598\) | − | 1.72818i | − | 0.0706704i | ||||||
\(599\) | −23.3204 | −0.952846 | −0.476423 | − | 0.879216i | \(-0.658067\pi\) | ||||
−0.476423 | + | 0.879216i | \(0.658067\pi\) | |||||||
\(600\) | 136.473 | + | 62.2626i | 5.57147 | + | 2.54186i | ||||
\(601\) | −7.46795 | −0.304624 | −0.152312 | − | 0.988332i | \(-0.548672\pi\) | ||||
−0.152312 | + | 0.988332i | \(0.548672\pi\) | |||||||
\(602\) | 7.57191i | 0.308608i | ||||||||
\(603\) | 61.2109i | 2.49270i | ||||||||
\(604\) | −105.134 | −4.27784 | ||||||||
\(605\) | 2.43429 | − | 11.2004i | 0.0989679 | − | 0.455362i | ||||
\(606\) | 52.9778 | 2.15208 | ||||||||
\(607\) | 44.1118i | 1.79044i | 0.445622 | + | 0.895221i | \(0.352983\pi\) | ||||
−0.445622 | + | 0.895221i | \(0.647017\pi\) | |||||||
\(608\) | 101.540i | 4.11800i | ||||||||
\(609\) | 44.3217 | 1.79601 | ||||||||
\(610\) | −39.2709 | − | 8.53510i | −1.59003 | − | 0.345576i | ||||
\(611\) | 0.438142 | 0.0177253 | ||||||||
\(612\) | − | 296.956i | − | 12.0037i | ||||||
\(613\) | − | 19.5991i | − | 0.791598i | −0.918337 | − | 0.395799i | \(-0.870468\pi\) | ||
0.918337 | − | 0.395799i | \(-0.129532\pi\) | |||||||
\(614\) | 11.4389 | 0.461636 | ||||||||
\(615\) | 26.1875 | + | 5.69156i | 1.05598 | + | 0.229506i | ||||
\(616\) | −123.192 | −4.96354 | ||||||||
\(617\) | − | 10.8947i | − | 0.438605i | −0.975657 | − | 0.219302i | \(-0.929622\pi\) | ||
0.975657 | − | 0.219302i | \(-0.0703781\pi\) | |||||||
\(618\) | 4.03614i | 0.162357i | ||||||||
\(619\) | −12.2713 | −0.493225 | −0.246613 | − | 0.969114i | \(-0.579318\pi\) | ||||
−0.246613 | + | 0.969114i | \(0.579318\pi\) | |||||||
\(620\) | −1.69811 | + | 7.81321i | −0.0681979 | + | 0.313786i | ||||
\(621\) | −41.2795 | −1.65649 | ||||||||
\(622\) | 79.6073i | 3.19196i | ||||||||
\(623\) | 5.99799i | 0.240305i | ||||||||
\(624\) | 12.4268 | 0.497469 | ||||||||
\(625\) | 16.3858 | + | 18.8814i | 0.655432 | + | 0.755254i | ||||
\(626\) | 69.7218 | 2.78664 | ||||||||
\(627\) | − | 72.9211i | − | 2.91219i | ||||||
\(628\) | − | 31.2240i | − | 1.24597i | ||||||
\(629\) | 30.5036 | 1.21626 | ||||||||
\(630\) | −36.3724 | + | 167.354i | −1.44911 | + | 6.66753i | ||||
\(631\) | 31.3350 | 1.24743 | 0.623713 | − | 0.781654i | \(-0.285623\pi\) | ||||
0.623713 | + | 0.781654i | \(0.285623\pi\) | |||||||
\(632\) | 28.3607i | 1.12813i | ||||||||
\(633\) | 27.4196i | 1.08983i | ||||||||
\(634\) | 55.1556 | 2.19051 | ||||||||
\(635\) | −41.7736 | − | 9.07902i | −1.65773 | − | 0.360290i | ||||
\(636\) | 79.1402 | 3.13811 | ||||||||
\(637\) | − | 1.30362i | − | 0.0516514i | ||||||
\(638\) | − | 41.7950i | − | 1.65468i | ||||||
\(639\) | −122.543 | −4.84772 | ||||||||
\(640\) | −57.4488 | − | 12.4859i | −2.27086 | − | 0.493547i | ||||
\(641\) | −4.50609 | −0.177980 | −0.0889899 | − | 0.996033i | \(-0.528364\pi\) | ||||
−0.0889899 | + | 0.996033i | \(0.528364\pi\) | |||||||
\(642\) | − | 17.4315i | − | 0.687968i | ||||||
\(643\) | 27.3969i | 1.08043i | 0.841527 | + | 0.540214i | \(0.181657\pi\) | ||||
−0.841527 | + | 0.540214i | \(0.818343\pi\) | |||||||
\(644\) | −42.6095 | −1.67905 | ||||||||
\(645\) | 1.30087 | − | 5.98543i | 0.0512215 | − | 0.235676i | ||||
\(646\) | 99.1222 | 3.89991 | ||||||||
\(647\) | − | 10.4356i | − | 0.410267i | −0.978734 | − | 0.205133i | \(-0.934237\pi\) | ||
0.978734 | − | 0.205133i | \(-0.0657628\pi\) | |||||||
\(648\) | − | 307.758i | − | 12.0899i | ||||||
\(649\) | −2.12644 | −0.0834701 | ||||||||
\(650\) | 3.35975 | + | 1.53281i | 0.131780 | + | 0.0601218i | ||||
\(651\) | −7.75548 | −0.303961 | ||||||||
\(652\) | 21.4571i | 0.840324i | ||||||||
\(653\) | 32.4173i | 1.26859i | 0.773093 | + | 0.634293i | \(0.218709\pi\) | ||||
−0.773093 | + | 0.634293i | \(0.781291\pi\) | |||||||
\(654\) | 66.7665 | 2.61078 | ||||||||
\(655\) | −7.35240 | + | 33.8292i | −0.287282 | + | 1.32182i | ||||
\(656\) | −48.4200 | −1.89048 | ||||||||
\(657\) | − | 30.8458i | − | 1.20341i | ||||||
\(658\) | − | 14.8734i | − | 0.579824i | ||||||
\(659\) | 19.7610 | 0.769780 | 0.384890 | − | 0.922962i | \(-0.374239\pi\) | ||||
0.384890 | + | 0.922962i | \(0.374239\pi\) | |||||||
\(660\) | 156.263 | + | 33.9619i | 6.08251 | + | 1.32197i | ||||
\(661\) | −13.6618 | −0.531381 | −0.265690 | − | 0.964058i | \(-0.585600\pi\) | ||||
−0.265690 | + | 0.964058i | \(0.585600\pi\) | |||||||
\(662\) | − | 6.48001i | − | 0.251853i | ||||||
\(663\) | − | 6.21093i | − | 0.241213i | ||||||
\(664\) | 118.529 | 4.59982 | ||||||||
\(665\) | −40.5731 | − | 8.81812i | −1.57336 | − | 0.341952i | ||||
\(666\) | 100.505 | 3.89451 | ||||||||
\(667\) | − | 9.00878i | − | 0.348822i | ||||||
\(668\) | − | 27.1308i | − | 1.04972i | ||||||
\(669\) | −24.0909 | −0.931407 | ||||||||
\(670\) | 9.51584 | − | 43.7834i | 0.367629 | − | 1.69150i | ||||
\(671\) | −26.6982 | −1.03067 | ||||||||
\(672\) | − | 215.982i | − | 8.33170i | ||||||
\(673\) | − | 42.3140i | − | 1.63109i | −0.578697 | − | 0.815543i | \(-0.696439\pi\) | ||
0.578697 | − | 0.815543i | \(-0.303561\pi\) | |||||||
\(674\) | −72.8836 | −2.80737 | ||||||||
\(675\) | 36.6130 | − | 80.2514i | 1.40923 | − | 3.08888i | ||||
\(676\) | −68.6030 | −2.63858 | ||||||||
\(677\) | − | 5.90240i | − | 0.226848i | −0.993547 | − | 0.113424i | \(-0.963818\pi\) | ||
0.993547 | − | 0.113424i | \(-0.0361818\pi\) | |||||||
\(678\) | 133.174i | 5.11451i | ||||||||
\(679\) | 4.80106 | 0.184248 | ||||||||
\(680\) | −28.7691 | + | 132.370i | −1.10324 | + | 5.07615i | ||||
\(681\) | −25.2317 | −0.966880 | ||||||||
\(682\) | 7.31335i | 0.280043i | ||||||||
\(683\) | 46.3854i | 1.77489i | 0.460917 | + | 0.887443i | \(0.347521\pi\) | ||||
−0.460917 | + | 0.887443i | \(0.652479\pi\) | |||||||
\(684\) | 237.210 | 9.06996 | ||||||||
\(685\) | 19.7215 | + | 4.28624i | 0.753519 | + | 0.163769i | ||||
\(686\) | 20.6699 | 0.789179 | ||||||||
\(687\) | 80.7816i | 3.08201i | ||||||||
\(688\) | 11.0669i | 0.421921i | ||||||||
\(689\) | 1.21416 | 0.0462557 | ||||||||
\(690\) | 46.3737 | + | 10.0788i | 1.76542 | + | 0.383694i | ||||
\(691\) | −7.70227 | −0.293008 | −0.146504 | − | 0.989210i | \(-0.546802\pi\) | ||||
−0.146504 | + | 0.989210i | \(0.546802\pi\) | |||||||
\(692\) | − | 43.7400i | − | 1.66275i | ||||||
\(693\) | 113.775i | 4.32195i | ||||||||
\(694\) | 66.8592 | 2.53794 | ||||||||
\(695\) | −0.982536 | + | 4.52076i | −0.0372697 | + | 0.171482i | ||||
\(696\) | 115.507 | 4.37829 | ||||||||
\(697\) | 24.2004i | 0.916656i | ||||||||
\(698\) | 32.8634i | 1.24390i | ||||||||
\(699\) | 22.8306 | 0.863533 | ||||||||
\(700\) | 37.7927 | − | 82.8372i | 1.42843 | − | 3.13095i | ||||
\(701\) | −1.53294 | −0.0578983 | −0.0289491 | − | 0.999581i | \(-0.509216\pi\) | ||||
−0.0289491 | + | 0.999581i | \(0.509216\pi\) | |||||||
\(702\) | − | 13.0298i | − | 0.491779i | ||||||
\(703\) | 24.3665i | 0.919000i | ||||||||
\(704\) | −94.7980 | −3.57283 | ||||||||
\(705\) | −2.55526 | + | 11.7571i | −0.0962368 | + | 0.442796i | ||||
\(706\) | 94.6199 | 3.56107 | ||||||||
\(707\) | − | 20.0397i | − | 0.753669i | ||||||
\(708\) | − | 9.43020i | − | 0.354409i | ||||||
\(709\) | 46.3315 | 1.74002 | 0.870009 | − | 0.493037i | \(-0.164113\pi\) | ||||
0.870009 | + | 0.493037i | \(0.164113\pi\) | |||||||
\(710\) | 87.6534 | + | 19.0505i | 3.28957 | + | 0.714952i | ||||
\(711\) | 26.1927 | 0.982304 | ||||||||
\(712\) | 15.6314i | 0.585812i | ||||||||
\(713\) | 1.57637i | 0.0590355i | ||||||||
\(714\) | −210.839 | −7.89046 | ||||||||
\(715\) | 2.39736 | + | 0.521039i | 0.0896560 | + | 0.0194857i | ||||
\(716\) | 45.0067 | 1.68198 | ||||||||
\(717\) | 39.4661i | 1.47389i | ||||||||
\(718\) | 21.9199i | 0.818045i | ||||||||
\(719\) | 36.5081 | 1.36152 | 0.680762 | − | 0.732505i | \(-0.261649\pi\) | ||||
0.680762 | + | 0.732505i | \(0.261649\pi\) | |||||||
\(720\) | −53.1609 | + | 244.599i | −1.98119 | + | 9.11568i | ||||
\(721\) | 1.52673 | 0.0568584 | ||||||||
\(722\) | 27.8175i | 1.03526i | ||||||||
\(723\) | 3.35528i | 0.124784i | ||||||||
\(724\) | −24.3700 | −0.905705 | ||||||||
\(725\) | 17.5140 | + | 7.99037i | 0.650453 | + | 0.296755i | ||||
\(726\) | 46.4932 | 1.72552 | ||||||||
\(727\) | 11.1877i | 0.414930i | 0.978242 | + | 0.207465i | \(0.0665214\pi\) | ||||
−0.978242 | + | 0.207465i | \(0.933479\pi\) | |||||||
\(728\) | − | 8.38160i | − | 0.310643i | ||||||
\(729\) | −106.653 | −3.95010 | ||||||||
\(730\) | −4.79529 | + | 22.0636i | −0.177482 | + | 0.816612i | ||||
\(731\) | 5.53126 | 0.204581 | ||||||||
\(732\) | − | 118.400i | − | 4.37617i | ||||||
\(733\) | 28.4274i | 1.04999i | 0.851106 | + | 0.524994i | \(0.175932\pi\) | ||||
−0.851106 | + | 0.524994i | \(0.824068\pi\) | |||||||
\(734\) | −47.1538 | −1.74048 | ||||||||
\(735\) | 34.9813 | + | 7.60279i | 1.29030 | + | 0.280433i | ||||
\(736\) | −43.9003 | −1.61819 | ||||||||
\(737\) | − | 29.7660i | − | 1.09645i | ||||||
\(738\) | 79.7372i | 2.93517i | ||||||||
\(739\) | −29.4807 | −1.08447 | −0.542233 | − | 0.840228i | \(-0.682421\pi\) | ||||
−0.542233 | + | 0.840228i | \(0.682421\pi\) | |||||||
\(740\) | −52.2149 | − | 11.3483i | −1.91946 | − | 0.417173i | ||||
\(741\) | 4.96134 | 0.182259 | ||||||||
\(742\) | − | 41.2164i | − | 1.51310i | ||||||
\(743\) | − | 16.0342i | − | 0.588237i | −0.955769 | − | 0.294118i | \(-0.904974\pi\) | ||
0.955769 | − | 0.294118i | \(-0.0950260\pi\) | |||||||
\(744\) | −20.2116 | −0.740993 | ||||||||
\(745\) | 9.97287 | − | 45.8863i | 0.365378 | − | 1.68114i | ||||
\(746\) | 8.62657 | 0.315841 | ||||||||
\(747\) | − | 109.469i | − | 4.00524i | ||||||
\(748\) | 144.405i | 5.27999i | ||||||||
\(749\) | −6.59374 | −0.240930 | ||||||||
\(750\) | −60.7255 | + | 81.2157i | −2.21738 | + | 2.96558i | ||||
\(751\) | −21.1700 | −0.772503 | −0.386251 | − | 0.922394i | \(-0.626230\pi\) | ||||
−0.386251 | + | 0.922394i | \(0.626230\pi\) | |||||||
\(752\) | − | 21.7385i | − | 0.792721i | ||||||
\(753\) | − | 10.5192i | − | 0.383340i | ||||||
\(754\) | 2.84361 | 0.103558 | ||||||||
\(755\) | 9.40680 | − | 43.2817i | 0.342349 | − | 1.57518i | ||||
\(756\) | −321.260 | −11.6841 | ||||||||
\(757\) | − | 3.46802i | − | 0.126048i | −0.998012 | − | 0.0630238i | \(-0.979926\pi\) | ||
0.998012 | − | 0.0630238i | \(-0.0200744\pi\) | |||||||
\(758\) | 2.25155i | 0.0817800i | ||||||||
\(759\) | 31.5271 | 1.14436 | ||||||||
\(760\) | −105.738 | − | 22.9810i | −3.83552 | − | 0.833607i | ||||
\(761\) | −8.94564 | −0.324279 | −0.162140 | − | 0.986768i | \(-0.551840\pi\) | ||||
−0.162140 | + | 0.986768i | \(0.551840\pi\) | |||||||
\(762\) | − | 173.403i | − | 6.28172i | ||||||
\(763\) | − | 25.2554i | − | 0.914308i | ||||||
\(764\) | −27.8158 | −1.00634 | ||||||||
\(765\) | 122.251 | + | 26.5699i | 4.42000 | + | 0.960638i | ||||
\(766\) | 71.5325 | 2.58458 | ||||||||
\(767\) | − | 0.144677i | − | 0.00522397i | ||||||
\(768\) | − | 80.0563i | − | 2.88878i | ||||||
\(769\) | −19.5376 | −0.704544 | −0.352272 | − | 0.935898i | \(-0.614591\pi\) | ||||
−0.352272 | + | 0.935898i | \(0.614591\pi\) | |||||||
\(770\) | 17.6874 | − | 81.3818i | 0.637410 | − | 2.93280i | ||||
\(771\) | −42.6788 | −1.53704 | ||||||||
\(772\) | 104.105i | 3.74681i | ||||||||
\(773\) | − | 35.1299i | − | 1.26354i | −0.775158 | − | 0.631768i | \(-0.782330\pi\) | ||
0.775158 | − | 0.631768i | \(-0.217670\pi\) | |||||||
\(774\) | 18.2248 | 0.655076 | ||||||||
\(775\) | −3.06462 | − | 1.39817i | −0.110084 | − | 0.0502236i | ||||
\(776\) | 12.5121 | 0.449157 | ||||||||
\(777\) | − | 51.8291i | − | 1.85936i | ||||||
\(778\) | − | 41.7481i | − | 1.49674i | ||||||
\(779\) | −19.3314 | −0.692621 | ||||||||
\(780\) | −2.31067 | + | 10.6316i | −0.0827352 | + | 0.380674i | ||||
\(781\) | 59.5909 | 2.13233 | ||||||||
\(782\) | 42.8549i | 1.53249i | ||||||||
\(783\) | − | 67.9229i | − | 2.42737i | ||||||
\(784\) | −64.6795 | −2.30998 | ||||||||
\(785\) | 12.8543 | + | 2.79375i | 0.458791 | + | 0.0997131i | ||||
\(786\) | −140.426 | −5.00881 | ||||||||
\(787\) | 15.7786i | 0.562447i | 0.959642 | + | 0.281223i | \(0.0907402\pi\) | ||||
−0.959642 | + | 0.281223i | \(0.909260\pi\) | |||||||
\(788\) | 123.984i | 4.41674i | ||||||||
\(789\) | −82.8008 | −2.94779 | ||||||||
\(790\) | −18.7353 | − | 4.07192i | −0.666573 | − | 0.144872i | ||||
\(791\) | 50.3750 | 1.79113 | ||||||||
\(792\) | 296.509i | 10.5360i | ||||||||
\(793\) | − | 1.81647i | − | 0.0645047i | ||||||
\(794\) | 51.3428 | 1.82209 | ||||||||
\(795\) | −7.08103 | + | 32.5806i | −0.251138 | + | 1.15551i | ||||
\(796\) | 11.9744 | 0.424420 | ||||||||
\(797\) | − | 14.1788i | − | 0.502240i | −0.967956 | − | 0.251120i | \(-0.919201\pi\) | ||
0.967956 | − | 0.251120i | \(-0.0807989\pi\) | |||||||
\(798\) | − | 168.420i | − | 5.96200i | ||||||
\(799\) | −10.8649 | −0.384374 | ||||||||
\(800\) | 38.9375 | − | 85.3466i | 1.37665 | − | 3.01746i | ||||
\(801\) | 14.4365 | 0.510089 | ||||||||
\(802\) | 43.2495i | 1.52719i | ||||||||
\(803\) | 14.9999i | 0.529335i | ||||||||
\(804\) | 132.004 | 4.65544 | ||||||||
\(805\) | 3.81247 | − | 17.5416i | 0.134372 | − | 0.618259i | ||||
\(806\) | −0.497579 | −0.0175265 | ||||||||
\(807\) | − | 27.7107i | − | 0.975461i | ||||||
\(808\) | − | 52.2255i | − | 1.83729i | ||||||
\(809\) | 40.1751 | 1.41248 | 0.706241 | − | 0.707972i | \(-0.250390\pi\) | ||||
0.706241 | + | 0.707972i | \(0.250390\pi\) | |||||||
\(810\) | 203.308 | + | 44.1867i | 7.14351 | + | 1.55256i | ||||
\(811\) | 16.1770 | 0.568050 | 0.284025 | − | 0.958817i | \(-0.408330\pi\) | ||||
0.284025 | + | 0.958817i | \(0.408330\pi\) | |||||||
\(812\) | − | 70.1114i | − | 2.46043i | ||||||
\(813\) | 109.772i | 3.84989i | ||||||||
\(814\) | −48.8744 | −1.71305 | ||||||||
\(815\) | −8.83349 | − | 1.91986i | −0.309424 | − | 0.0672498i | ||||
\(816\) | −308.157 | −10.7876 | ||||||||
\(817\) | 4.41841i | 0.154581i | ||||||||
\(818\) | − | 91.8739i | − | 3.21229i | ||||||
\(819\) | −7.74090 | −0.270489 | ||||||||
\(820\) | 9.00333 | − | 41.4253i | 0.314410 | − | 1.44663i | ||||
\(821\) | 21.1039 | 0.736532 | 0.368266 | − | 0.929720i | \(-0.379951\pi\) | ||||
0.368266 | + | 0.929720i | \(0.379951\pi\) | |||||||
\(822\) | 81.8642i | 2.85534i | ||||||||
\(823\) | − | 20.7635i | − | 0.723769i | −0.932223 | − | 0.361884i | \(-0.882134\pi\) | ||
0.932223 | − | 0.361884i | \(-0.117866\pi\) | |||||||
\(824\) | 3.97882 | 0.138609 | ||||||||
\(825\) | −27.9630 | + | 61.2917i | −0.973547 | + | 2.13390i | ||||
\(826\) | −4.91126 | −0.170885 | ||||||||
\(827\) | 20.4952i | 0.712688i | 0.934355 | + | 0.356344i | \(0.115977\pi\) | ||||
−0.934355 | + | 0.356344i | \(0.884023\pi\) | |||||||
\(828\) | 102.557i | 3.56409i | ||||||||
\(829\) | −19.0011 | −0.659937 | −0.329968 | − | 0.943992i | \(-0.607038\pi\) | ||||
−0.329968 | + | 0.943992i | \(0.607038\pi\) | |||||||
\(830\) | −17.0180 | + | 78.3015i | −0.590702 | + | 2.71789i | ||||
\(831\) | 96.5872 | 3.35057 | ||||||||
\(832\) | − | 6.44977i | − | 0.223606i | ||||||
\(833\) | 32.3270i | 1.12006i | ||||||||
\(834\) | −18.7657 | −0.649805 | ||||||||
\(835\) | 11.1693 | + | 2.42752i | 0.386529 | + | 0.0840077i | ||||
\(836\) | −115.352 | −3.98954 | ||||||||
\(837\) | 11.8852i | 0.410814i | ||||||||
\(838\) | 35.3469i | 1.22104i | ||||||||
\(839\) | 7.58955 | 0.262020 | 0.131010 | − | 0.991381i | \(-0.458178\pi\) | ||||
0.131010 | + | 0.991381i | \(0.458178\pi\) | |||||||
\(840\) | 224.911 | + | 48.8819i | 7.76018 | + | 1.68659i | ||||
\(841\) | −14.1766 | −0.488848 | ||||||||
\(842\) | − | 14.3977i | − | 0.496176i | ||||||
\(843\) | − | 93.4313i | − | 3.21794i | ||||||
\(844\) | 43.3744 | 1.49301 | ||||||||
\(845\) | 6.13822 | − | 28.2426i | 0.211161 | − | 0.971576i | ||||
\(846\) | −35.7986 | −1.23078 | ||||||||
\(847\) | − | 17.5868i | − | 0.604288i | ||||||
\(848\) | − | 60.2407i | − | 2.06867i | ||||||
\(849\) | 67.9001 | 2.33033 | ||||||||
\(850\) | −83.3143 | − | 38.0103i | −2.85766 | − | 1.30374i | ||||
\(851\) | −10.5347 | −0.361126 | ||||||||
\(852\) | 264.270i | 9.05373i | ||||||||
\(853\) | − | 32.7092i | − | 1.11994i | −0.828512 | − | 0.559971i | \(-0.810812\pi\) | ||
0.828512 | − | 0.559971i | \(-0.189188\pi\) | |||||||
\(854\) | −61.6627 | −2.11005 | ||||||||
\(855\) | −21.2243 | + | 97.6552i | −0.725854 | + | 3.33974i | ||||
\(856\) | −17.1840 | −0.587337 | ||||||||
\(857\) | 36.8104i | 1.25742i | 0.777641 | + | 0.628709i | \(0.216416\pi\) | ||||
−0.777641 | + | 0.628709i | \(0.783584\pi\) | |||||||
\(858\) | 9.95147i | 0.339738i | ||||||||
\(859\) | −35.0252 | −1.19504 | −0.597522 | − | 0.801853i | \(-0.703848\pi\) | ||||
−0.597522 | + | 0.801853i | \(0.703848\pi\) | |||||||
\(860\) | −9.46819 | − | 2.05781i | −0.322863 | − | 0.0701706i | ||||
\(861\) | 41.1192 | 1.40134 | ||||||||
\(862\) | 28.5001i | 0.970718i | ||||||||
\(863\) | − | 13.0144i | − | 0.443016i | −0.975159 | − | 0.221508i | \(-0.928902\pi\) | ||
0.975159 | − | 0.221508i | \(-0.0710979\pi\) | |||||||
\(864\) | −330.992 | −11.2606 | ||||||||
\(865\) | 18.0070 | + | 3.91362i | 0.612256 | + | 0.133067i | ||||
\(866\) | −91.7513 | −3.11784 | ||||||||
\(867\) | 96.9776i | 3.29353i | ||||||||
\(868\) | 12.2682i | 0.416410i | ||||||||
\(869\) | −12.7372 | −0.432079 | ||||||||
\(870\) | −16.5841 | + | 76.3052i | −0.562253 | + | 2.58699i | ||||
\(871\) | 2.02519 | 0.0686210 | ||||||||
\(872\) | − | 65.8183i | − | 2.22889i | ||||||
\(873\) | − | 11.5556i | − | 0.391099i | ||||||
\(874\) | −34.2328 | −1.15794 | ||||||||
\(875\) | 30.7211 | + | 22.9704i | 1.03856 | + | 0.776540i | ||||
\(876\) | −66.5206 | −2.24752 | ||||||||
\(877\) | − | 11.0175i | − | 0.372033i | −0.982547 | − | 0.186016i | \(-0.940442\pi\) | ||
0.982547 | − | 0.186016i | \(-0.0595578\pi\) | |||||||
\(878\) | − | 44.7155i | − | 1.50907i | ||||||
\(879\) | −39.8180 | −1.34303 | ||||||||
\(880\) | 25.8514 | − | 118.945i | 0.871452 | − | 4.00964i | ||||
\(881\) | 12.4699 | 0.420123 | 0.210062 | − | 0.977688i | \(-0.432634\pi\) | ||||
0.210062 | + | 0.977688i | \(0.432634\pi\) | |||||||
\(882\) | 106.513i | 3.58648i | ||||||||
\(883\) | 16.6123i | 0.559047i | 0.960139 | + | 0.279524i | \(0.0901765\pi\) | ||||
−0.960139 | + | 0.279524i | \(0.909823\pi\) | |||||||
\(884\) | −9.82492 | −0.330448 | ||||||||
\(885\) | 3.88224 | + | 0.843762i | 0.130500 | + | 0.0283627i | ||||
\(886\) | 8.82495 | 0.296480 | ||||||||
\(887\) | 20.2890i | 0.681239i | 0.940201 | + | 0.340619i | \(0.110637\pi\) | ||||
−0.940201 | + | 0.340619i | \(0.889363\pi\) | |||||||
\(888\) | − | 135.072i | − | 4.53272i | ||||||
\(889\) | −65.5922 | −2.19989 | ||||||||
\(890\) | −10.3263 | − | 2.24430i | −0.346137 | − | 0.0752291i | ||||
\(891\) | 138.218 | 4.63048 | ||||||||
\(892\) | 38.1087i | 1.27597i | ||||||||
\(893\) | − | 8.67899i | − | 0.290431i | ||||||
\(894\) | 190.475 | 6.37043 | ||||||||
\(895\) | −4.02695 | + | 18.5284i | −0.134606 | + | 0.619338i | ||||
\(896\) | −90.2053 | −3.01355 | ||||||||
\(897\) | 2.14501i | 0.0716197i | ||||||||
\(898\) | − | 50.6327i | − | 1.68964i | ||||||
\(899\) | −2.59382 | −0.0865087 | ||||||||
\(900\) | −199.380 | − | 90.9628i | −6.64600 | − | 3.03209i | ||||
\(901\) | −30.1084 | −1.00306 | ||||||||
\(902\) | − | 38.7751i | − | 1.29107i | ||||||
\(903\) | − | 9.39823i | − | 0.312754i | ||||||
\(904\) | 131.283 | 4.36640 | ||||||||
\(905\) | 2.18050 | − | 10.0327i | 0.0724821 | − | 0.333498i | ||||
\(906\) | 179.663 | 5.96891 | ||||||||
\(907\) | − | 2.41862i | − | 0.0803091i | −0.999193 | − | 0.0401546i | \(-0.987215\pi\) | ||
0.999193 | − | 0.0401546i | \(-0.0127850\pi\) | |||||||
\(908\) | 39.9133i | 1.32457i | ||||||||
\(909\) | −48.2333 | −1.59980 | ||||||||
\(910\) | 5.53697 | + | 1.20340i | 0.183549 | + | 0.0398923i | ||||
\(911\) | −13.9040 | −0.460662 | −0.230331 | − | 0.973112i | \(-0.573981\pi\) | ||||
−0.230331 | + | 0.973112i | \(0.573981\pi\) | |||||||
\(912\) | − | 246.158i | − | 8.15110i | ||||||
\(913\) | 53.2331i | 1.76176i | ||||||||
\(914\) | 70.4899 | 2.33160 | ||||||||
\(915\) | 48.7430 | + | 10.5937i | 1.61139 | + | 0.350218i | ||||
\(916\) | 127.786 | 4.22218 | ||||||||
\(917\) | 53.1181i | 1.75411i | ||||||||
\(918\) | 323.110i | 10.6642i | ||||||||
\(919\) | −34.2519 | −1.12987 | −0.564933 | − | 0.825137i | \(-0.691098\pi\) | ||||
−0.564933 | + | 0.825137i | \(0.691098\pi\) | |||||||
\(920\) | 9.93569 | − | 45.7152i | 0.327570 | − | 1.50719i | ||||
\(921\) | −14.1979 | −0.467837 | ||||||||
\(922\) | 54.4054i | 1.79175i | ||||||||
\(923\) | 4.05439i | 0.133452i | ||||||||
\(924\) | 245.361 | 8.07179 | ||||||||
\(925\) | 9.34380 | − | 20.4805i | 0.307222 | − | 0.673396i | ||||
\(926\) | 10.0697 | 0.330912 | ||||||||
\(927\) | − | 3.67467i | − | 0.120692i | ||||||
\(928\) | − | 72.2353i | − | 2.37124i | ||||||
\(929\) | 45.2370 | 1.48418 | 0.742090 | − | 0.670301i | \(-0.233835\pi\) | ||||
0.742090 | + | 0.670301i | \(0.233835\pi\) | |||||||
\(930\) | 2.90190 | − | 13.3520i | 0.0951572 | − | 0.437829i | ||||
\(931\) | −25.8230 | −0.846314 | ||||||||
\(932\) | − | 36.1151i | − | 1.18299i | ||||||
\(933\) | − | 98.8083i | − | 3.23484i | ||||||
\(934\) | −115.579 | −3.78187 | ||||||||
\(935\) | −59.4491 | − | 12.9206i | −1.94419 | − | 0.422549i | ||||
\(936\) | −20.1736 | −0.659395 | ||||||||
\(937\) | 6.24872i | 0.204137i | 0.994777 | + | 0.102068i | \(0.0325461\pi\) | ||||
−0.994777 | + | 0.102068i | \(0.967454\pi\) | |||||||
\(938\) | − | 68.7481i | − | 2.24471i | ||||||
\(939\) | −86.5385 | −2.82408 | ||||||||
\(940\) | 18.5982 | + | 4.04211i | 0.606606 | + | 0.131839i | ||||
\(941\) | −27.6223 | −0.900461 | −0.450231 | − | 0.892912i | \(-0.648658\pi\) | ||||
−0.450231 | + | 0.892912i | \(0.648658\pi\) | |||||||
\(942\) | 53.3586i | 1.73852i | ||||||||
\(943\) | − | 8.35785i | − | 0.272169i | ||||||
\(944\) | −7.17816 | −0.233629 | ||||||||
\(945\) | 28.7446 | − | 132.257i | 0.935061 | − | 4.30232i | ||||
\(946\) | −8.86246 | −0.288143 | ||||||||
\(947\) | − | 37.9618i | − | 1.23359i | −0.787123 | − | 0.616796i | \(-0.788430\pi\) | ||
0.787123 | − | 0.616796i | \(-0.211570\pi\) | |||||||
\(948\) | − | 56.4859i | − | 1.83458i | ||||||
\(949\) | −1.02055 | −0.0331284 | ||||||||
\(950\) | 30.3629 | − | 66.5520i | 0.985103 | − | 2.15923i | ||||
\(951\) | −68.4589 | −2.21993 | ||||||||
\(952\) | 207.845i | 6.73630i | ||||||||
\(953\) | − | 31.8263i | − | 1.03096i | −0.856903 | − | 0.515478i | \(-0.827614\pi\) | ||
0.856903 | − | 0.515478i | \(-0.172386\pi\) | |||||||
\(954\) | −99.2033 | −3.21182 | ||||||||
\(955\) | 2.48880 | − | 11.4513i | 0.0805358 | − | 0.370554i | ||||
\(956\) | 62.4304 | 2.01915 | ||||||||
\(957\) | 51.8759i | 1.67691i | ||||||||
\(958\) | − | 51.3735i | − | 1.65980i | ||||||
\(959\) | 30.9664 | 0.999957 | ||||||||
\(960\) | 173.073 | + | 37.6154i | 5.58590 | + | 1.21403i | ||||
\(961\) | −30.5461 | −0.985359 | ||||||||
\(962\) | − | 3.32527i | − | 0.107211i | ||||||
\(963\) | 15.8704i | 0.511417i | ||||||||
\(964\) | 5.30763 | 0.170947 | ||||||||
\(965\) | −42.8580 | − | 9.31471i | −1.37965 | − | 0.299851i | ||||
\(966\) | 72.8154 | 2.34280 | ||||||||
\(967\) | − | 42.8008i | − | 1.37638i | −0.725529 | − | 0.688191i | \(-0.758405\pi\) | ||
0.725529 | − | 0.688191i | \(-0.241595\pi\) | |||||||
\(968\) | − | 45.8330i | − | 1.47313i | ||||||
\(969\) | −123.030 | −3.95230 | ||||||||
\(970\) | −1.79644 | + | 8.26560i | −0.0576801 | + | 0.265392i | ||||
\(971\) | −40.4234 | −1.29725 | −0.648625 | − | 0.761108i | \(-0.724655\pi\) | ||||
−0.648625 | + | 0.761108i | \(0.724655\pi\) | |||||||
\(972\) | 332.053i | 10.6506i | ||||||||
\(973\) | 7.09843i | 0.227565i | ||||||||
\(974\) | 37.5002 | 1.20158 | ||||||||
\(975\) | −4.17011 | − | 1.90252i | −0.133550 | − | 0.0609294i | ||||
\(976\) | −90.1244 | −2.88481 | ||||||||
\(977\) | − | 4.42215i | − | 0.141477i | −0.997495 | − | 0.0707385i | \(-0.977464\pi\) | ||
0.997495 | − | 0.0707385i | \(-0.0225356\pi\) | |||||||
\(978\) | − | 36.6680i | − | 1.17251i | ||||||
\(979\) | −7.02028 | −0.224369 | ||||||||
\(980\) | 12.0267 | − | 55.3360i | 0.384178 | − | 1.76764i | ||||
\(981\) | −60.7871 | −1.94078 | ||||||||
\(982\) | 23.1919i | 0.740084i | ||||||||
\(983\) | 15.8123i | 0.504334i | 0.967684 | + | 0.252167i | \(0.0811432\pi\) | ||||
−0.967684 | + | 0.252167i | \(0.918857\pi\) | |||||||
\(984\) | 107.161 | 3.41617 | ||||||||
\(985\) | −51.0418 | − | 11.0934i | −1.62633 | − | 0.353464i | ||||
\(986\) | −70.5152 | −2.24566 | ||||||||
\(987\) | 18.4608i | 0.587612i | ||||||||
\(988\) | − | 7.84821i | − | 0.249685i | ||||||
\(989\) | −1.91027 | −0.0607432 | ||||||||
\(990\) | −195.877 | − | 42.5717i | −6.22538 | − | 1.35302i | ||||
\(991\) | 38.6286 | 1.22708 | 0.613538 | − | 0.789665i | \(-0.289746\pi\) | ||||
0.613538 | + | 0.789665i | \(0.289746\pi\) | |||||||
\(992\) | 12.6398i | 0.401315i | ||||||||
\(993\) | 8.04296i | 0.255236i | ||||||||
\(994\) | 137.632 | 4.36542 | ||||||||
\(995\) | −1.07140 | + | 4.92963i | −0.0339657 | + | 0.156280i | ||||
\(996\) | −236.074 | −7.48030 | ||||||||
\(997\) | 44.4049i | 1.40632i | 0.711033 | + | 0.703159i | \(0.248228\pi\) | ||||
−0.711033 | + | 0.703159i | \(0.751772\pi\) | |||||||
\(998\) | − | 44.6681i | − | 1.41394i | ||||||
\(999\) | −79.4279 | −2.51299 |
(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 | 1205.2.b.d.724.64 | yes | 66 | |
5.2 | odd | 4 | 6025.2.a.q.1.3 | 66 | |||
5.3 | odd | 4 | 6025.2.a.q.1.64 | 66 | |||
5.4 | even | 2 | inner | 1205.2.b.d.724.3 | ✓ | 66 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1205.2.b.d.724.3 | ✓ | 66 | 5.4 | even | 2 | inner | |
1205.2.b.d.724.64 | yes | 66 | 1.1 | even | 1 | trivial | |
6025.2.a.q.1.3 | 66 | 5.2 | odd | 4 | |||
6025.2.a.q.1.64 | 66 | 5.3 | odd | 4 |