Properties

Label 1323.2.g.h.667.7
Level $1323$
Weight $2$
Character 1323.667
Analytic conductor $10.564$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [1323,2,Mod(361,1323)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(1323, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([2, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("1323.361");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 1323 = 3^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1323.g (of order \(3\), degree \(2\), not minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(10.5642081874\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{3})\)
Twist minimal: no (minimal twist has level 441)
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 667.7
Character \(\chi\) \(=\) 1323.667
Dual form 1323.2.g.h.361.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.0341870 + 0.0592136i) q^{2} +(0.997662 - 1.72800i) q^{4} -2.66379 q^{5} +0.273176 q^{8} +O(q^{10})\) \(q+(0.0341870 + 0.0592136i) q^{2} +(0.997662 - 1.72800i) q^{4} -2.66379 q^{5} +0.273176 q^{8} +(-0.0910670 - 0.157733i) q^{10} +1.59913 q^{11} +(2.62690 + 4.54992i) q^{13} +(-1.98599 - 3.43983i) q^{16} +(3.27360 + 5.67005i) q^{17} +(0.950968 - 1.64713i) q^{19} +(-2.65756 + 4.60304i) q^{20} +(0.0546693 + 0.0946900i) q^{22} +3.06837 q^{23} +2.09578 q^{25} +(-0.179612 + 0.311096i) q^{26} +(3.19452 - 5.53306i) q^{29} +(3.35961 - 5.81902i) q^{31} +(0.408966 - 0.708350i) q^{32} +(-0.223829 + 0.387684i) q^{34} +(-2.11477 + 3.66290i) q^{37} +0.130043 q^{38} -0.727684 q^{40} +(-3.69648 - 6.40249i) q^{41} +(5.63176 - 9.75450i) q^{43} +(1.59539 - 2.76329i) q^{44} +(0.104898 + 0.181689i) q^{46} +(-1.89959 - 3.29018i) q^{47} +(0.0716485 + 0.124099i) q^{50} +10.4830 q^{52} +(4.44931 + 7.70643i) q^{53} -4.25974 q^{55} +0.436843 q^{58} +(5.44639 - 9.43343i) q^{59} +(1.35693 + 2.35027i) q^{61} +0.459420 q^{62} -7.88802 q^{64} +(-6.99751 - 12.1200i) q^{65} +(1.66267 - 2.87982i) q^{67} +13.0638 q^{68} +12.3890 q^{71} +(1.09932 + 1.90407i) q^{73} -0.289191 q^{74} +(-1.89749 - 3.28655i) q^{76} +(-0.406778 - 0.704560i) q^{79} +(5.29025 + 9.16298i) q^{80} +(0.252743 - 0.437764i) q^{82} +(-3.41842 + 5.92088i) q^{83} +(-8.72020 - 15.1038i) q^{85} +0.770132 q^{86} +0.436843 q^{88} +(-0.235286 + 0.407527i) q^{89} +(3.06120 - 5.30216i) q^{92} +(0.129882 - 0.224963i) q^{94} +(-2.53318 + 4.38760i) q^{95} +(-2.57623 + 4.46216i) q^{97} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24 q - 4 q^{2} - 12 q^{4} + 24 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 24 q - 4 q^{2} - 12 q^{4} + 24 q^{8} + 40 q^{11} - 12 q^{16} + 64 q^{23} + 24 q^{25} - 16 q^{29} - 48 q^{32} - 12 q^{37} - 56 q^{44} + 24 q^{46} + 4 q^{50} - 32 q^{53} + 96 q^{64} - 60 q^{65} - 12 q^{67} + 112 q^{71} + 136 q^{74} + 12 q^{79} + 12 q^{85} + 152 q^{86} - 16 q^{92} - 64 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1323\mathbb{Z}\right)^\times\).

\(n\) \(785\) \(1081\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0341870 + 0.0592136i 0.0241739 + 0.0418703i 0.877859 0.478919i \(-0.158971\pi\)
−0.853685 + 0.520789i \(0.825638\pi\)
\(3\) 0 0
\(4\) 0.997662 1.72800i 0.498831 0.864001i
\(5\) −2.66379 −1.19128 −0.595642 0.803250i \(-0.703102\pi\)
−0.595642 + 0.803250i \(0.703102\pi\)
\(6\) 0 0
\(7\) 0 0
\(8\) 0.273176 0.0965824
\(9\) 0 0
\(10\) −0.0910670 0.157733i −0.0287979 0.0498794i
\(11\) 1.59913 0.482155 0.241077 0.970506i \(-0.422499\pi\)
0.241077 + 0.970506i \(0.422499\pi\)
\(12\) 0 0
\(13\) 2.62690 + 4.54992i 0.728571 + 1.26192i 0.957487 + 0.288476i \(0.0931485\pi\)
−0.228916 + 0.973446i \(0.573518\pi\)
\(14\) 0 0
\(15\) 0 0
\(16\) −1.98599 3.43983i −0.496496 0.859957i
\(17\) 3.27360 + 5.67005i 0.793966 + 1.37519i 0.923494 + 0.383613i \(0.125320\pi\)
−0.129528 + 0.991576i \(0.541346\pi\)
\(18\) 0 0
\(19\) 0.950968 1.64713i 0.218167 0.377877i −0.736081 0.676894i \(-0.763326\pi\)
0.954248 + 0.299017i \(0.0966589\pi\)
\(20\) −2.65756 + 4.60304i −0.594249 + 1.02927i
\(21\) 0 0
\(22\) 0.0546693 + 0.0946900i 0.0116555 + 0.0201880i
\(23\) 3.06837 0.639800 0.319900 0.947451i \(-0.396351\pi\)
0.319900 + 0.947451i \(0.396351\pi\)
\(24\) 0 0
\(25\) 2.09578 0.419157
\(26\) −0.179612 + 0.311096i −0.0352247 + 0.0610110i
\(27\) 0 0
\(28\) 0 0
\(29\) 3.19452 5.53306i 0.593207 1.02746i −0.400591 0.916257i \(-0.631195\pi\)
0.993797 0.111207i \(-0.0354716\pi\)
\(30\) 0 0
\(31\) 3.35961 5.81902i 0.603405 1.04513i −0.388897 0.921281i \(-0.627144\pi\)
0.992301 0.123846i \(-0.0395229\pi\)
\(32\) 0.408966 0.708350i 0.0722957 0.125220i
\(33\) 0 0
\(34\) −0.223829 + 0.387684i −0.0383864 + 0.0664872i
\(35\) 0 0
\(36\) 0 0
\(37\) −2.11477 + 3.66290i −0.347667 + 0.602176i −0.985835 0.167721i \(-0.946359\pi\)
0.638168 + 0.769897i \(0.279693\pi\)
\(38\) 0.130043 0.0210958
\(39\) 0 0
\(40\) −0.727684 −0.115057
\(41\) −3.69648 6.40249i −0.577293 0.999901i −0.995788 0.0916820i \(-0.970776\pi\)
0.418495 0.908219i \(-0.362558\pi\)
\(42\) 0 0
\(43\) 5.63176 9.75450i 0.858836 1.48755i −0.0142043 0.999899i \(-0.504522\pi\)
0.873040 0.487648i \(-0.162145\pi\)
\(44\) 1.59539 2.76329i 0.240514 0.416582i
\(45\) 0 0
\(46\) 0.104898 + 0.181689i 0.0154664 + 0.0267887i
\(47\) −1.89959 3.29018i −0.277083 0.479922i 0.693575 0.720384i \(-0.256034\pi\)
−0.970659 + 0.240462i \(0.922701\pi\)
\(48\) 0 0
\(49\) 0 0
\(50\) 0.0716485 + 0.124099i 0.0101326 + 0.0175502i
\(51\) 0 0
\(52\) 10.4830 1.45374
\(53\) 4.44931 + 7.70643i 0.611160 + 1.05856i 0.991045 + 0.133527i \(0.0426301\pi\)
−0.379885 + 0.925034i \(0.624037\pi\)
\(54\) 0 0
\(55\) −4.25974 −0.574383
\(56\) 0 0
\(57\) 0 0
\(58\) 0.436843 0.0573604
\(59\) 5.44639 9.43343i 0.709060 1.22813i −0.256146 0.966638i \(-0.582453\pi\)
0.965206 0.261490i \(-0.0842138\pi\)
\(60\) 0 0
\(61\) 1.35693 + 2.35027i 0.173737 + 0.300922i 0.939724 0.341935i \(-0.111082\pi\)
−0.765986 + 0.642857i \(0.777749\pi\)
\(62\) 0.459420 0.0583465
\(63\) 0 0
\(64\) −7.88802 −0.986002
\(65\) −6.99751 12.1200i −0.867935 1.50331i
\(66\) 0 0
\(67\) 1.66267 2.87982i 0.203127 0.351826i −0.746407 0.665489i \(-0.768223\pi\)
0.949534 + 0.313663i \(0.101556\pi\)
\(68\) 13.0638 1.58422
\(69\) 0 0
\(70\) 0 0
\(71\) 12.3890 1.47031 0.735154 0.677900i \(-0.237110\pi\)
0.735154 + 0.677900i \(0.237110\pi\)
\(72\) 0 0
\(73\) 1.09932 + 1.90407i 0.128665 + 0.222855i 0.923160 0.384417i \(-0.125597\pi\)
−0.794494 + 0.607271i \(0.792264\pi\)
\(74\) −0.289191 −0.0336178
\(75\) 0 0
\(76\) −1.89749 3.28655i −0.217657 0.376993i
\(77\) 0 0
\(78\) 0 0
\(79\) −0.406778 0.704560i −0.0457661 0.0792692i 0.842235 0.539111i \(-0.181240\pi\)
−0.888001 + 0.459841i \(0.847906\pi\)
\(80\) 5.29025 + 9.16298i 0.591468 + 1.02445i
\(81\) 0 0
\(82\) 0.252743 0.437764i 0.0279108 0.0483429i
\(83\) −3.41842 + 5.92088i −0.375220 + 0.649901i −0.990360 0.138517i \(-0.955766\pi\)
0.615140 + 0.788418i \(0.289100\pi\)
\(84\) 0 0
\(85\) −8.72020 15.1038i −0.945838 1.63824i
\(86\) 0.770132 0.0830455
\(87\) 0 0
\(88\) 0.436843 0.0465677
\(89\) −0.235286 + 0.407527i −0.0249403 + 0.0431978i −0.878226 0.478246i \(-0.841273\pi\)
0.853286 + 0.521443i \(0.174606\pi\)
\(90\) 0 0
\(91\) 0 0
\(92\) 3.06120 5.30216i 0.319152 0.552788i
\(93\) 0 0
\(94\) 0.129882 0.224963i 0.0133963 0.0232031i
\(95\) −2.53318 + 4.38760i −0.259899 + 0.450158i
\(96\) 0 0
\(97\) −2.57623 + 4.46216i −0.261576 + 0.453064i −0.966661 0.256059i \(-0.917576\pi\)
0.705085 + 0.709123i \(0.250909\pi\)
\(98\) 0 0
\(99\) 0 0
\(100\) 2.09088 3.62152i 0.209088 0.362152i
\(101\) −1.84488 −0.183572 −0.0917862 0.995779i \(-0.529258\pi\)
−0.0917862 + 0.995779i \(0.529258\pi\)
\(102\) 0 0
\(103\) −5.17802 −0.510206 −0.255103 0.966914i \(-0.582109\pi\)
−0.255103 + 0.966914i \(0.582109\pi\)
\(104\) 0.717607 + 1.24293i 0.0703671 + 0.121879i
\(105\) 0 0
\(106\) −0.304217 + 0.526920i −0.0295482 + 0.0511790i
\(107\) −8.47445 + 14.6782i −0.819256 + 1.41899i 0.0869755 + 0.996210i \(0.472280\pi\)
−0.906231 + 0.422782i \(0.861054\pi\)
\(108\) 0 0
\(109\) 4.24996 + 7.36115i 0.407073 + 0.705070i 0.994560 0.104163i \(-0.0332163\pi\)
−0.587488 + 0.809233i \(0.699883\pi\)
\(110\) −0.145628 0.252235i −0.0138851 0.0240496i
\(111\) 0 0
\(112\) 0 0
\(113\) 1.95196 + 3.38089i 0.183625 + 0.318048i 0.943112 0.332474i \(-0.107884\pi\)
−0.759487 + 0.650522i \(0.774550\pi\)
\(114\) 0 0
\(115\) −8.17351 −0.762183
\(116\) −6.37410 11.0403i −0.591820 1.02506i
\(117\) 0 0
\(118\) 0.744783 0.0685628
\(119\) 0 0
\(120\) 0 0
\(121\) −8.44279 −0.767527
\(122\) −0.0927788 + 0.160698i −0.00839980 + 0.0145489i
\(123\) 0 0
\(124\) −6.70352 11.6108i −0.601994 1.04268i
\(125\) 7.73623 0.691949
\(126\) 0 0
\(127\) 10.9533 0.971946 0.485973 0.873974i \(-0.338465\pi\)
0.485973 + 0.873974i \(0.338465\pi\)
\(128\) −1.08760 1.88378i −0.0961311 0.166504i
\(129\) 0 0
\(130\) 0.478448 0.828696i 0.0419626 0.0726814i
\(131\) −4.45342 −0.389097 −0.194549 0.980893i \(-0.562324\pi\)
−0.194549 + 0.980893i \(0.562324\pi\)
\(132\) 0 0
\(133\) 0 0
\(134\) 0.227366 0.0196414
\(135\) 0 0
\(136\) 0.894271 + 1.54892i 0.0766831 + 0.132819i
\(137\) 19.5360 1.66907 0.834537 0.550952i \(-0.185735\pi\)
0.834537 + 0.550952i \(0.185735\pi\)
\(138\) 0 0
\(139\) 1.31540 + 2.27833i 0.111570 + 0.193246i 0.916404 0.400256i \(-0.131079\pi\)
−0.804833 + 0.593501i \(0.797745\pi\)
\(140\) 0 0
\(141\) 0 0
\(142\) 0.423544 + 0.733599i 0.0355430 + 0.0615623i
\(143\) 4.20075 + 7.27590i 0.351284 + 0.608442i
\(144\) 0 0
\(145\) −8.50952 + 14.7389i −0.706677 + 1.22400i
\(146\) −0.0751647 + 0.130189i −0.00622067 + 0.0107745i
\(147\) 0 0
\(148\) 4.21966 + 7.30867i 0.346854 + 0.600769i
\(149\) 8.81281 0.721973 0.360987 0.932571i \(-0.382440\pi\)
0.360987 + 0.932571i \(0.382440\pi\)
\(150\) 0 0
\(151\) 4.66422 0.379569 0.189784 0.981826i \(-0.439221\pi\)
0.189784 + 0.981826i \(0.439221\pi\)
\(152\) 0.259782 0.449956i 0.0210711 0.0364962i
\(153\) 0 0
\(154\) 0 0
\(155\) −8.94931 + 15.5007i −0.718826 + 1.24504i
\(156\) 0 0
\(157\) −2.03647 + 3.52727i −0.162528 + 0.281506i −0.935775 0.352599i \(-0.885298\pi\)
0.773247 + 0.634105i \(0.218631\pi\)
\(158\) 0.0278130 0.0481736i 0.00221269 0.00383249i
\(159\) 0 0
\(160\) −1.08940 + 1.88690i −0.0861246 + 0.149172i
\(161\) 0 0
\(162\) 0 0
\(163\) 6.06112 10.4982i 0.474744 0.822280i −0.524838 0.851202i \(-0.675874\pi\)
0.999582 + 0.0289220i \(0.00920745\pi\)
\(164\) −14.7514 −1.15189
\(165\) 0 0
\(166\) −0.467462 −0.0362821
\(167\) 2.39951 + 4.15608i 0.185680 + 0.321607i 0.943805 0.330502i \(-0.107218\pi\)
−0.758126 + 0.652109i \(0.773885\pi\)
\(168\) 0 0
\(169\) −7.30121 + 12.6461i −0.561631 + 0.972774i
\(170\) 0.596235 1.03271i 0.0457291 0.0792051i
\(171\) 0 0
\(172\) −11.2372 19.4634i −0.856828 1.48407i
\(173\) −2.51585 4.35759i −0.191277 0.331301i 0.754397 0.656419i \(-0.227929\pi\)
−0.945674 + 0.325118i \(0.894596\pi\)
\(174\) 0 0
\(175\) 0 0
\(176\) −3.17584 5.50072i −0.239388 0.414632i
\(177\) 0 0
\(178\) −0.0321749 −0.00241161
\(179\) −8.19896 14.2010i −0.612819 1.06143i −0.990763 0.135605i \(-0.956702\pi\)
0.377944 0.925828i \(-0.376631\pi\)
\(180\) 0 0
\(181\) 14.4345 1.07291 0.536454 0.843930i \(-0.319763\pi\)
0.536454 + 0.843930i \(0.319763\pi\)
\(182\) 0 0
\(183\) 0 0
\(184\) 0.838207 0.0617934
\(185\) 5.63332 9.75719i 0.414170 0.717363i
\(186\) 0 0
\(187\) 5.23491 + 9.06713i 0.382814 + 0.663054i
\(188\) −7.58059 −0.552871
\(189\) 0 0
\(190\) −0.346407 −0.0251310
\(191\) 1.42066 + 2.46065i 0.102795 + 0.178046i 0.912835 0.408328i \(-0.133888\pi\)
−0.810040 + 0.586374i \(0.800555\pi\)
\(192\) 0 0
\(193\) −4.41443 + 7.64601i −0.317758 + 0.550372i −0.980020 0.198900i \(-0.936263\pi\)
0.662262 + 0.749272i \(0.269596\pi\)
\(194\) −0.352294 −0.0252932
\(195\) 0 0
\(196\) 0 0
\(197\) −5.72354 −0.407785 −0.203893 0.978993i \(-0.565359\pi\)
−0.203893 + 0.978993i \(0.565359\pi\)
\(198\) 0 0
\(199\) −5.70752 9.88572i −0.404596 0.700780i 0.589679 0.807638i \(-0.299254\pi\)
−0.994274 + 0.106858i \(0.965921\pi\)
\(200\) 0.572518 0.0404832
\(201\) 0 0
\(202\) −0.0630709 0.109242i −0.00443765 0.00768624i
\(203\) 0 0
\(204\) 0 0
\(205\) 9.84665 + 17.0549i 0.687720 + 1.19117i
\(206\) −0.177021 0.306609i −0.0123336 0.0213625i
\(207\) 0 0
\(208\) 10.4340 18.0722i 0.723466 1.25308i
\(209\) 1.52072 2.63396i 0.105190 0.182195i
\(210\) 0 0
\(211\) 10.6919 + 18.5189i 0.736059 + 1.27489i 0.954257 + 0.298986i \(0.0966486\pi\)
−0.218199 + 0.975904i \(0.570018\pi\)
\(212\) 17.7556 1.21946
\(213\) 0 0
\(214\) −1.15886 −0.0792183
\(215\) −15.0018 + 25.9840i −1.02312 + 1.77209i
\(216\) 0 0
\(217\) 0 0
\(218\) −0.290587 + 0.503311i −0.0196810 + 0.0340885i
\(219\) 0 0
\(220\) −4.24978 + 7.36084i −0.286520 + 0.496268i
\(221\) −17.1989 + 29.7893i −1.15692 + 2.00385i
\(222\) 0 0
\(223\) 3.58387 6.20744i 0.239994 0.415681i −0.720719 0.693228i \(-0.756188\pi\)
0.960712 + 0.277547i \(0.0895213\pi\)
\(224\) 0 0
\(225\) 0 0
\(226\) −0.133463 + 0.231165i −0.00887784 + 0.0153769i
\(227\) −13.7887 −0.915187 −0.457593 0.889162i \(-0.651288\pi\)
−0.457593 + 0.889162i \(0.651288\pi\)
\(228\) 0 0
\(229\) 26.3943 1.74418 0.872092 0.489341i \(-0.162763\pi\)
0.872092 + 0.489341i \(0.162763\pi\)
\(230\) −0.279428 0.483983i −0.0184249 0.0319129i
\(231\) 0 0
\(232\) 0.872666 1.51150i 0.0572933 0.0992349i
\(233\) −6.32230 + 10.9505i −0.414187 + 0.717394i −0.995343 0.0963989i \(-0.969268\pi\)
0.581155 + 0.813793i \(0.302601\pi\)
\(234\) 0 0
\(235\) 5.06010 + 8.76436i 0.330085 + 0.571724i
\(236\) −10.8673 18.8228i −0.707403 1.22526i
\(237\) 0 0
\(238\) 0 0
\(239\) −7.71640 13.3652i −0.499133 0.864523i 0.500867 0.865524i \(-0.333015\pi\)
−0.999999 + 0.00100121i \(0.999681\pi\)
\(240\) 0 0
\(241\) −1.17988 −0.0760029 −0.0380015 0.999278i \(-0.512099\pi\)
−0.0380015 + 0.999278i \(0.512099\pi\)
\(242\) −0.288634 0.499928i −0.0185541 0.0321366i
\(243\) 0 0
\(244\) 5.41504 0.346662
\(245\) 0 0
\(246\) 0 0
\(247\) 9.99240 0.635801
\(248\) 0.917767 1.58962i 0.0582783 0.100941i
\(249\) 0 0
\(250\) 0.264478 + 0.458090i 0.0167271 + 0.0289721i
\(251\) 5.54970 0.350294 0.175147 0.984542i \(-0.443960\pi\)
0.175147 + 0.984542i \(0.443960\pi\)
\(252\) 0 0
\(253\) 4.90672 0.308483
\(254\) 0.374459 + 0.648583i 0.0234957 + 0.0406957i
\(255\) 0 0
\(256\) −7.81365 + 13.5336i −0.488353 + 0.845853i
\(257\) 9.83076 0.613226 0.306613 0.951834i \(-0.400804\pi\)
0.306613 + 0.951834i \(0.400804\pi\)
\(258\) 0 0
\(259\) 0 0
\(260\) −27.9246 −1.73181
\(261\) 0 0
\(262\) −0.152249 0.263703i −0.00940598 0.0162916i
\(263\) −11.9322 −0.735774 −0.367887 0.929870i \(-0.619919\pi\)
−0.367887 + 0.929870i \(0.619919\pi\)
\(264\) 0 0
\(265\) −11.8520 20.5283i −0.728065 1.26105i
\(266\) 0 0
\(267\) 0 0
\(268\) −3.31756 5.74618i −0.202652 0.351004i
\(269\) −14.9824 25.9503i −0.913494 1.58222i −0.809092 0.587682i \(-0.800041\pi\)
−0.104401 0.994535i \(-0.533293\pi\)
\(270\) 0 0
\(271\) −3.54825 + 6.14575i −0.215541 + 0.373328i −0.953440 0.301584i \(-0.902485\pi\)
0.737899 + 0.674911i \(0.235818\pi\)
\(272\) 13.0027 22.5213i 0.788402 1.36555i
\(273\) 0 0
\(274\) 0.667877 + 1.15680i 0.0403479 + 0.0698847i
\(275\) 3.35142 0.202098
\(276\) 0 0
\(277\) −9.82351 −0.590237 −0.295119 0.955461i \(-0.595359\pi\)
−0.295119 + 0.955461i \(0.595359\pi\)
\(278\) −0.0899388 + 0.155779i −0.00539417 + 0.00934298i
\(279\) 0 0
\(280\) 0 0
\(281\) −11.9389 + 20.6787i −0.712213 + 1.23359i 0.251812 + 0.967776i \(0.418974\pi\)
−0.964025 + 0.265813i \(0.914360\pi\)
\(282\) 0 0
\(283\) −1.50798 + 2.61189i −0.0896399 + 0.155261i −0.907359 0.420357i \(-0.861905\pi\)
0.817719 + 0.575618i \(0.195238\pi\)
\(284\) 12.3601 21.4083i 0.733435 1.27035i
\(285\) 0 0
\(286\) −0.287222 + 0.497483i −0.0169838 + 0.0294168i
\(287\) 0 0
\(288\) 0 0
\(289\) −12.9330 + 22.4006i −0.760763 + 1.31768i
\(290\) −1.16366 −0.0683324
\(291\) 0 0
\(292\) 4.38699 0.256729
\(293\) −8.52913 14.7729i −0.498277 0.863041i 0.501721 0.865030i \(-0.332700\pi\)
−0.999998 + 0.00198814i \(0.999367\pi\)
\(294\) 0 0
\(295\) −14.5081 + 25.1287i −0.844692 + 1.46305i
\(296\) −0.577706 + 1.00062i −0.0335785 + 0.0581596i
\(297\) 0 0
\(298\) 0.301283 + 0.521838i 0.0174529 + 0.0302293i
\(299\) 8.06031 + 13.9609i 0.466140 + 0.807378i
\(300\) 0 0
\(301\) 0 0
\(302\) 0.159456 + 0.276185i 0.00917564 + 0.0158927i
\(303\) 0 0
\(304\) −7.55444 −0.433277
\(305\) −3.61458 6.26064i −0.206970 0.358483i
\(306\) 0 0
\(307\) −23.2178 −1.32511 −0.662554 0.749014i \(-0.730527\pi\)
−0.662554 + 0.749014i \(0.730527\pi\)
\(308\) 0 0
\(309\) 0 0
\(310\) −1.22380 −0.0695072
\(311\) −0.895467 + 1.55100i −0.0507773 + 0.0879489i −0.890297 0.455381i \(-0.849503\pi\)
0.839520 + 0.543329i \(0.182837\pi\)
\(312\) 0 0
\(313\) 2.30458 + 3.99166i 0.130263 + 0.225622i 0.923778 0.382929i \(-0.125085\pi\)
−0.793515 + 0.608551i \(0.791751\pi\)
\(314\) −0.278483 −0.0157157
\(315\) 0 0
\(316\) −1.62331 −0.0913183
\(317\) −12.9421 22.4163i −0.726898 1.25902i −0.958188 0.286140i \(-0.907628\pi\)
0.231290 0.972885i \(-0.425705\pi\)
\(318\) 0 0
\(319\) 5.10843 8.84807i 0.286017 0.495397i
\(320\) 21.0120 1.17461
\(321\) 0 0
\(322\) 0 0
\(323\) 12.4524 0.692869
\(324\) 0 0
\(325\) 5.50541 + 9.53566i 0.305385 + 0.528943i
\(326\) 0.828846 0.0459055
\(327\) 0 0
\(328\) −1.00979 1.74901i −0.0557563 0.0965728i
\(329\) 0 0
\(330\) 0 0
\(331\) −0.0806617 0.139710i −0.00443357 0.00767917i 0.863800 0.503835i \(-0.168078\pi\)
−0.868234 + 0.496156i \(0.834745\pi\)
\(332\) 6.82086 + 11.8141i 0.374343 + 0.648382i
\(333\) 0 0
\(334\) −0.164064 + 0.284168i −0.00897719 + 0.0155490i
\(335\) −4.42899 + 7.67124i −0.241982 + 0.419125i
\(336\) 0 0
\(337\) 4.52675 + 7.84057i 0.246588 + 0.427103i 0.962577 0.271009i \(-0.0873572\pi\)
−0.715989 + 0.698112i \(0.754024\pi\)
\(338\) −0.998425 −0.0543072
\(339\) 0 0
\(340\) −34.7993 −1.88725
\(341\) 5.37245 9.30535i 0.290934 0.503913i
\(342\) 0 0
\(343\) 0 0
\(344\) 1.53846 2.66470i 0.0829484 0.143671i
\(345\) 0 0
\(346\) 0.172019 0.297945i 0.00924779 0.0160176i
\(347\) −2.90984 + 5.03999i −0.156208 + 0.270561i −0.933498 0.358582i \(-0.883260\pi\)
0.777290 + 0.629142i \(0.216594\pi\)
\(348\) 0 0
\(349\) 13.6310 23.6095i 0.729648 1.26379i −0.227384 0.973805i \(-0.573017\pi\)
0.957032 0.289983i \(-0.0936496\pi\)
\(350\) 0 0
\(351\) 0 0
\(352\) 0.653988 1.13274i 0.0348577 0.0603753i
\(353\) −24.1896 −1.28748 −0.643741 0.765244i \(-0.722618\pi\)
−0.643741 + 0.765244i \(0.722618\pi\)
\(354\) 0 0
\(355\) −33.0018 −1.75155
\(356\) 0.469472 + 0.813149i 0.0248820 + 0.0430968i
\(357\) 0 0
\(358\) 0.560595 0.970979i 0.0296284 0.0513179i
\(359\) −10.5188 + 18.2191i −0.555161 + 0.961567i 0.442730 + 0.896655i \(0.354010\pi\)
−0.997891 + 0.0649124i \(0.979323\pi\)
\(360\) 0 0
\(361\) 7.69132 + 13.3218i 0.404806 + 0.701145i
\(362\) 0.493472 + 0.854719i 0.0259363 + 0.0449230i
\(363\) 0 0
\(364\) 0 0
\(365\) −2.92835 5.07205i −0.153277 0.265483i
\(366\) 0 0
\(367\) −35.0380 −1.82897 −0.914485 0.404620i \(-0.867404\pi\)
−0.914485 + 0.404620i \(0.867404\pi\)
\(368\) −6.09375 10.5547i −0.317659 0.550201i
\(369\) 0 0
\(370\) 0.770345 0.0400483
\(371\) 0 0
\(372\) 0 0
\(373\) 1.12862 0.0584377 0.0292189 0.999573i \(-0.490698\pi\)
0.0292189 + 0.999573i \(0.490698\pi\)
\(374\) −0.357931 + 0.619955i −0.0185082 + 0.0320571i
\(375\) 0 0
\(376\) −0.518922 0.898800i −0.0267614 0.0463521i
\(377\) 33.5667 1.72877
\(378\) 0 0
\(379\) −21.9619 −1.12811 −0.564054 0.825738i \(-0.690759\pi\)
−0.564054 + 0.825738i \(0.690759\pi\)
\(380\) 5.05452 + 8.75468i 0.259291 + 0.449106i
\(381\) 0 0
\(382\) −0.0971359 + 0.168244i −0.00496991 + 0.00860813i
\(383\) −23.0401 −1.17729 −0.588647 0.808390i \(-0.700339\pi\)
−0.588647 + 0.808390i \(0.700339\pi\)
\(384\) 0 0
\(385\) 0 0
\(386\) −0.603664 −0.0307257
\(387\) 0 0
\(388\) 5.14042 + 8.90346i 0.260965 + 0.452005i
\(389\) −15.7751 −0.799828 −0.399914 0.916553i \(-0.630960\pi\)
−0.399914 + 0.916553i \(0.630960\pi\)
\(390\) 0 0
\(391\) 10.0446 + 17.3978i 0.507979 + 0.879846i
\(392\) 0 0
\(393\) 0 0
\(394\) −0.195671 0.338912i −0.00985774 0.0170741i
\(395\) 1.08357 + 1.87680i 0.0545204 + 0.0944321i
\(396\) 0 0
\(397\) 8.25277 14.2942i 0.414195 0.717406i −0.581149 0.813797i \(-0.697397\pi\)
0.995344 + 0.0963911i \(0.0307300\pi\)
\(398\) 0.390246 0.675926i 0.0195613 0.0338811i
\(399\) 0 0
\(400\) −4.16220 7.20914i −0.208110 0.360457i
\(401\) −21.6600 −1.08165 −0.540823 0.841136i \(-0.681887\pi\)
−0.540823 + 0.841136i \(0.681887\pi\)
\(402\) 0 0
\(403\) 35.3015 1.75849
\(404\) −1.84057 + 3.18796i −0.0915716 + 0.158607i
\(405\) 0 0
\(406\) 0 0
\(407\) −3.38179 + 5.85743i −0.167629 + 0.290342i
\(408\) 0 0
\(409\) −15.2860 + 26.4762i −0.755846 + 1.30916i 0.189107 + 0.981956i \(0.439441\pi\)
−0.944953 + 0.327207i \(0.893893\pi\)
\(410\) −0.673255 + 1.16611i −0.0332497 + 0.0575901i
\(411\) 0 0
\(412\) −5.16592 + 8.94763i −0.254507 + 0.440818i
\(413\) 0 0
\(414\) 0 0
\(415\) 9.10596 15.7720i 0.446994 0.774216i
\(416\) 4.29725 0.210690
\(417\) 0 0
\(418\) 0.207955 0.0101714
\(419\) 10.8081 + 18.7202i 0.528011 + 0.914542i 0.999467 + 0.0326524i \(0.0103954\pi\)
−0.471456 + 0.881890i \(0.656271\pi\)
\(420\) 0 0
\(421\) 13.6217 23.5935i 0.663881 1.14988i −0.315706 0.948857i \(-0.602241\pi\)
0.979587 0.201019i \(-0.0644252\pi\)
\(422\) −0.731046 + 1.26621i −0.0355867 + 0.0616380i
\(423\) 0 0
\(424\) 1.21545 + 2.10521i 0.0590273 + 0.102238i
\(425\) 6.86077 + 11.8832i 0.332796 + 0.576420i
\(426\) 0 0
\(427\) 0 0
\(428\) 16.9093 + 29.2877i 0.817341 + 1.41568i
\(429\) 0 0
\(430\) −2.05147 −0.0989307
\(431\) 4.09843 + 7.09869i 0.197415 + 0.341932i 0.947689 0.319194i \(-0.103412\pi\)
−0.750275 + 0.661126i \(0.770079\pi\)
\(432\) 0 0
\(433\) −3.41468 −0.164099 −0.0820494 0.996628i \(-0.526147\pi\)
−0.0820494 + 0.996628i \(0.526147\pi\)
\(434\) 0 0
\(435\) 0 0
\(436\) 16.9601 0.812242
\(437\) 2.91793 5.05400i 0.139583 0.241765i
\(438\) 0 0
\(439\) 3.29416 + 5.70564i 0.157221 + 0.272316i 0.933866 0.357624i \(-0.116413\pi\)
−0.776644 + 0.629939i \(0.783080\pi\)
\(440\) −1.16366 −0.0554753
\(441\) 0 0
\(442\) −2.35191 −0.111869
\(443\) 14.3456 + 24.8473i 0.681581 + 1.18053i 0.974498 + 0.224395i \(0.0720407\pi\)
−0.292917 + 0.956138i \(0.594626\pi\)
\(444\) 0 0
\(445\) 0.626752 1.08557i 0.0297109 0.0514608i
\(446\) 0.490087 0.0232063
\(447\) 0 0
\(448\) 0 0
\(449\) −0.457724 −0.0216013 −0.0108007 0.999942i \(-0.503438\pi\)
−0.0108007 + 0.999942i \(0.503438\pi\)
\(450\) 0 0
\(451\) −5.91114 10.2384i −0.278345 0.482107i
\(452\) 7.78958 0.366391
\(453\) 0 0
\(454\) −0.471393 0.816477i −0.0221236 0.0383192i
\(455\) 0 0
\(456\) 0 0
\(457\) −10.1105 17.5119i −0.472950 0.819173i 0.526571 0.850131i \(-0.323477\pi\)
−0.999521 + 0.0309581i \(0.990144\pi\)
\(458\) 0.902342 + 1.56290i 0.0421637 + 0.0730296i
\(459\) 0 0
\(460\) −8.15440 + 14.1238i −0.380201 + 0.658527i
\(461\) −12.1036 + 20.9640i −0.563719 + 0.976390i 0.433449 + 0.901178i \(0.357297\pi\)
−0.997168 + 0.0752117i \(0.976037\pi\)
\(462\) 0 0
\(463\) 2.40242 + 4.16111i 0.111650 + 0.193383i 0.916436 0.400182i \(-0.131053\pi\)
−0.804786 + 0.593565i \(0.797720\pi\)
\(464\) −25.3770 −1.17810
\(465\) 0 0
\(466\) −0.864561 −0.0400500
\(467\) 13.6228 23.5954i 0.630389 1.09187i −0.357083 0.934073i \(-0.616229\pi\)
0.987472 0.157793i \(-0.0504379\pi\)
\(468\) 0 0
\(469\) 0 0
\(470\) −0.345979 + 0.599254i −0.0159588 + 0.0276415i
\(471\) 0 0
\(472\) 1.48783 2.57699i 0.0684827 0.118616i
\(473\) 9.00590 15.5987i 0.414092 0.717228i
\(474\) 0 0
\(475\) 1.99302 3.45202i 0.0914462 0.158389i
\(476\) 0 0
\(477\) 0 0
\(478\) 0.527601 0.913832i 0.0241319 0.0417977i
\(479\) 20.5255 0.937834 0.468917 0.883242i \(-0.344644\pi\)
0.468917 + 0.883242i \(0.344644\pi\)
\(480\) 0 0
\(481\) −22.2212 −1.01320
\(482\) −0.0403366 0.0698651i −0.00183728 0.00318227i
\(483\) 0 0
\(484\) −8.42306 + 14.5892i −0.382866 + 0.663144i
\(485\) 6.86254 11.8863i 0.311612 0.539727i
\(486\) 0 0
\(487\) −12.9224 22.3823i −0.585571 1.01424i −0.994804 0.101809i \(-0.967537\pi\)
0.409233 0.912430i \(-0.365796\pi\)
\(488\) 0.370682 + 0.642039i 0.0167800 + 0.0290638i
\(489\) 0 0
\(490\) 0 0
\(491\) 7.80775 + 13.5234i 0.352359 + 0.610303i 0.986662 0.162781i \(-0.0520463\pi\)
−0.634303 + 0.773084i \(0.718713\pi\)
\(492\) 0 0
\(493\) 41.8303 1.88394
\(494\) 0.341610 + 0.591686i 0.0153698 + 0.0266212i
\(495\) 0 0
\(496\) −26.6886 −1.19835
\(497\) 0 0
\(498\) 0 0
\(499\) 21.2690 0.952133 0.476066 0.879409i \(-0.342062\pi\)
0.476066 + 0.879409i \(0.342062\pi\)
\(500\) 7.71814 13.3682i 0.345166 0.597845i
\(501\) 0 0
\(502\) 0.189728 + 0.328618i 0.00846795 + 0.0146669i
\(503\) −16.3298 −0.728110 −0.364055 0.931377i \(-0.618608\pi\)
−0.364055 + 0.931377i \(0.618608\pi\)
\(504\) 0 0
\(505\) 4.91437 0.218687
\(506\) 0.167746 + 0.290544i 0.00745722 + 0.0129163i
\(507\) 0 0
\(508\) 10.9277 18.9273i 0.484837 0.839762i
\(509\) −13.4618 −0.596683 −0.298342 0.954459i \(-0.596433\pi\)
−0.298342 + 0.954459i \(0.596433\pi\)
\(510\) 0 0
\(511\) 0 0
\(512\) −5.41890 −0.239484
\(513\) 0 0
\(514\) 0.336084 + 0.582115i 0.0148240 + 0.0256760i
\(515\) 13.7932 0.607800
\(516\) 0 0
\(517\) −3.03768 5.26142i −0.133597 0.231397i
\(518\) 0 0
\(519\) 0 0
\(520\) −1.91155 3.31091i −0.0838272 0.145193i
\(521\) 0.713095 + 1.23512i 0.0312413 + 0.0541115i 0.881223 0.472700i \(-0.156721\pi\)
−0.849982 + 0.526812i \(0.823387\pi\)
\(522\) 0 0
\(523\) −3.85530 + 6.67758i −0.168581 + 0.291990i −0.937921 0.346849i \(-0.887252\pi\)
0.769340 + 0.638839i \(0.220585\pi\)
\(524\) −4.44301 + 7.69553i −0.194094 + 0.336181i
\(525\) 0 0
\(526\) −0.407928 0.706551i −0.0177865 0.0308071i
\(527\) 43.9922 1.91633
\(528\) 0 0
\(529\) −13.5851 −0.590656
\(530\) 0.810371 1.40360i 0.0352003 0.0609686i
\(531\) 0 0
\(532\) 0 0
\(533\) 19.4206 33.6374i 0.841198 1.45700i
\(534\) 0 0
\(535\) 22.5742 39.0996i 0.975966 1.69042i
\(536\) 0.454201 0.786699i 0.0196185 0.0339802i
\(537\) 0 0
\(538\) 1.02441 1.77432i 0.0441653 0.0764966i
\(539\) 0 0
\(540\) 0 0
\(541\) −14.0228 + 24.2882i −0.602886 + 1.04423i 0.389495 + 0.921028i \(0.372649\pi\)
−0.992382 + 0.123201i \(0.960684\pi\)
\(542\) −0.485216 −0.0208418
\(543\) 0 0
\(544\) 5.35517 0.229601
\(545\) −11.3210 19.6086i −0.484939 0.839939i
\(546\) 0 0
\(547\) 17.7305 30.7101i 0.758101 1.31307i −0.185717 0.982603i \(-0.559461\pi\)
0.943818 0.330466i \(-0.107206\pi\)
\(548\) 19.4903 33.7583i 0.832586 1.44208i
\(549\) 0 0
\(550\) 0.114575 + 0.198450i 0.00488550 + 0.00846193i
\(551\) −6.07577 10.5235i −0.258836 0.448318i
\(552\) 0 0
\(553\) 0 0
\(554\) −0.335836 0.581685i −0.0142683 0.0247134i
\(555\) 0 0
\(556\) 5.24928 0.222619
\(557\) 17.5209 + 30.3472i 0.742386 + 1.28585i 0.951406 + 0.307940i \(0.0996395\pi\)
−0.209019 + 0.977911i \(0.567027\pi\)
\(558\) 0 0
\(559\) 59.1763 2.50289
\(560\) 0 0
\(561\) 0 0
\(562\) −1.63262 −0.0688677
\(563\) −8.01311 + 13.8791i −0.337712 + 0.584935i −0.984002 0.178157i \(-0.942986\pi\)
0.646290 + 0.763092i \(0.276320\pi\)
\(564\) 0 0
\(565\) −5.19961 9.00599i −0.218749 0.378885i
\(566\) −0.206213 −0.00866776
\(567\) 0 0
\(568\) 3.38439 0.142006
\(569\) 0.185651 + 0.321557i 0.00778290 + 0.0134804i 0.869891 0.493245i \(-0.164189\pi\)
−0.862108 + 0.506725i \(0.830856\pi\)
\(570\) 0 0
\(571\) −14.6152 + 25.3142i −0.611626 + 1.05937i 0.379340 + 0.925257i \(0.376151\pi\)
−0.990966 + 0.134110i \(0.957182\pi\)
\(572\) 16.7637 0.700926
\(573\) 0 0
\(574\) 0 0
\(575\) 6.43065 0.268177
\(576\) 0 0
\(577\) −7.52852 13.0398i −0.313417 0.542853i 0.665683 0.746235i \(-0.268140\pi\)
−0.979100 + 0.203381i \(0.934807\pi\)
\(578\) −1.76856 −0.0735623
\(579\) 0 0
\(580\) 16.9793 + 29.4089i 0.705025 + 1.22114i
\(581\) 0 0
\(582\) 0 0
\(583\) 7.11501 + 12.3236i 0.294674 + 0.510390i
\(584\) 0.300307 + 0.520148i 0.0124268 + 0.0215239i
\(585\) 0 0
\(586\) 0.583171 1.01008i 0.0240906 0.0417261i
\(587\) −0.835901 + 1.44782i −0.0345013 + 0.0597580i −0.882760 0.469823i \(-0.844318\pi\)
0.848259 + 0.529581i \(0.177651\pi\)
\(588\) 0 0
\(589\) −6.38977 11.0674i −0.263286 0.456025i
\(590\) −1.98395 −0.0816778
\(591\) 0 0
\(592\) 16.7996 0.690461
\(593\) 5.40871 9.36816i 0.222109 0.384704i −0.733339 0.679863i \(-0.762039\pi\)
0.955448 + 0.295159i \(0.0953726\pi\)
\(594\) 0 0
\(595\) 0 0
\(596\) 8.79221 15.2286i 0.360143 0.623786i
\(597\) 0 0
\(598\) −0.551116 + 0.954560i −0.0225368 + 0.0390349i
\(599\) 8.32007 14.4108i 0.339949 0.588809i −0.644474 0.764626i \(-0.722924\pi\)
0.984423 + 0.175817i \(0.0562568\pi\)
\(600\) 0 0
\(601\) −12.9011 + 22.3453i −0.526246 + 0.911485i 0.473286 + 0.880909i \(0.343068\pi\)
−0.999532 + 0.0305765i \(0.990266\pi\)
\(602\) 0 0
\(603\) 0 0
\(604\) 4.65332 8.05978i 0.189341 0.327948i
\(605\) 22.4898 0.914342
\(606\) 0 0
\(607\) 37.8049 1.53445 0.767227 0.641376i \(-0.221636\pi\)
0.767227 + 0.641376i \(0.221636\pi\)
\(608\) −0.777828 1.34724i −0.0315451 0.0546377i
\(609\) 0 0
\(610\) 0.247143 0.428065i 0.0100065 0.0173318i
\(611\) 9.98005 17.2860i 0.403750 0.699315i
\(612\) 0 0
\(613\) 6.47719 + 11.2188i 0.261611 + 0.453124i 0.966670 0.256025i \(-0.0824129\pi\)
−0.705059 + 0.709149i \(0.749080\pi\)
\(614\) −0.793745 1.37481i −0.0320330 0.0554827i
\(615\) 0 0
\(616\) 0 0
\(617\) −16.2202 28.0941i −0.652999 1.13103i −0.982391 0.186834i \(-0.940177\pi\)
0.329393 0.944193i \(-0.393156\pi\)
\(618\) 0 0
\(619\) 33.1974 1.33431 0.667157 0.744917i \(-0.267511\pi\)
0.667157 + 0.744917i \(0.267511\pi\)
\(620\) 17.8568 + 30.9289i 0.717146 + 1.24213i
\(621\) 0 0
\(622\) −0.122453 −0.00490993
\(623\) 0 0
\(624\) 0 0
\(625\) −31.0866 −1.24346
\(626\) −0.157574 + 0.272925i −0.00629791 + 0.0109083i
\(627\) 0 0
\(628\) 4.06342 + 7.03804i 0.162148 + 0.280848i
\(629\) −27.6917 −1.10414
\(630\) 0 0
\(631\) 32.2773 1.28494 0.642470 0.766311i \(-0.277910\pi\)
0.642470 + 0.766311i \(0.277910\pi\)
\(632\) −0.111122 0.192469i −0.00442020 0.00765601i
\(633\) 0 0
\(634\) 0.884900 1.53269i 0.0351439 0.0608709i
\(635\) −29.1772 −1.15786
\(636\) 0 0
\(637\) 0 0
\(638\) 0.698568 0.0276566
\(639\) 0 0
\(640\) 2.89714 + 5.01799i 0.114519 + 0.198353i
\(641\) −43.0814 −1.70161 −0.850806 0.525480i \(-0.823886\pi\)
−0.850806 + 0.525480i \(0.823886\pi\)
\(642\) 0 0
\(643\) −3.20088 5.54409i −0.126230 0.218638i 0.795983 0.605319i \(-0.206955\pi\)
−0.922213 + 0.386682i \(0.873621\pi\)
\(644\) 0 0
\(645\) 0 0
\(646\) 0.425709 + 0.737350i 0.0167493 + 0.0290107i
\(647\) 1.94403 + 3.36716i 0.0764278 + 0.132377i 0.901706 0.432349i \(-0.142315\pi\)
−0.825278 + 0.564726i \(0.808982\pi\)
\(648\) 0 0
\(649\) 8.70947 15.0852i 0.341877 0.592148i
\(650\) −0.376427 + 0.651991i −0.0147647 + 0.0255732i
\(651\) 0 0
\(652\) −12.0939 20.9473i −0.473634 0.820358i
\(653\) −15.1035 −0.591044 −0.295522 0.955336i \(-0.595494\pi\)
−0.295522 + 0.955336i \(0.595494\pi\)
\(654\) 0 0
\(655\) 11.8630 0.463525
\(656\) −14.6823 + 25.4305i −0.573248 + 0.992895i
\(657\) 0 0
\(658\) 0 0
\(659\) 7.13002 12.3496i 0.277746 0.481070i −0.693078 0.720862i \(-0.743746\pi\)
0.970824 + 0.239792i \(0.0770793\pi\)
\(660\) 0 0
\(661\) 9.70965 16.8176i 0.377662 0.654129i −0.613060 0.790036i \(-0.710062\pi\)
0.990722 + 0.135907i \(0.0433949\pi\)
\(662\) 0.00551516 0.00955254i 0.000214353 0.000371270i
\(663\) 0 0
\(664\) −0.933832 + 1.61744i −0.0362397 + 0.0627690i
\(665\) 0 0
\(666\) 0 0
\(667\) 9.80197 16.9775i 0.379534 0.657372i
\(668\) 9.57561 0.370492
\(669\) 0 0
\(670\) −0.605656 −0.0233985
\(671\) 2.16991 + 3.75839i 0.0837683 + 0.145091i
\(672\) 0 0
\(673\) −2.96563 + 5.13663i −0.114317 + 0.198002i −0.917506 0.397721i \(-0.869801\pi\)
0.803190 + 0.595723i \(0.203135\pi\)
\(674\) −0.309512 + 0.536091i −0.0119220 + 0.0206494i
\(675\) 0 0
\(676\) 14.5683 + 25.2330i 0.560318 + 0.970500i
\(677\) 18.4913 + 32.0278i 0.710678 + 1.23093i 0.964603 + 0.263706i \(0.0849449\pi\)
−0.253925 + 0.967224i \(0.581722\pi\)
\(678\) 0 0
\(679\) 0 0
\(680\) −2.38215 4.12601i −0.0913513 0.158225i
\(681\) 0 0
\(682\) 0.734671 0.0281320
\(683\) 6.56800 + 11.3761i 0.251317 + 0.435294i 0.963889 0.266305i \(-0.0858029\pi\)
−0.712571 + 0.701600i \(0.752470\pi\)
\(684\) 0 0
\(685\) −52.0398 −1.98834
\(686\) 0 0
\(687\) 0 0
\(688\) −44.7384 −1.70564
\(689\) −23.3758 + 40.4881i −0.890547 + 1.54247i
\(690\) 0 0
\(691\) −7.38292 12.7876i −0.280860 0.486463i 0.690737 0.723106i \(-0.257286\pi\)
−0.971597 + 0.236643i \(0.923953\pi\)
\(692\) −10.0399 −0.381659
\(693\) 0 0
\(694\) −0.397915 −0.0151046
\(695\) −3.50394 6.06900i −0.132912 0.230210i
\(696\) 0 0
\(697\) 24.2016 41.9184i 0.916702 1.58777i
\(698\) 1.86401 0.0705536
\(699\) 0 0
\(700\) 0 0
\(701\) 30.4627 1.15056 0.575281 0.817956i \(-0.304893\pi\)
0.575281 + 0.817956i \(0.304893\pi\)
\(702\) 0 0
\(703\) 4.02217 + 6.96660i 0.151699 + 0.262750i
\(704\) −12.6139 −0.475406
\(705\) 0 0
\(706\) −0.826969 1.43235i −0.0311234 0.0539073i
\(707\) 0 0
\(708\) 0 0
\(709\) −7.05152 12.2136i −0.264825 0.458691i 0.702693 0.711494i \(-0.251981\pi\)
−0.967518 + 0.252803i \(0.918648\pi\)
\(710\) −1.12823 1.95415i −0.0423418 0.0733381i
\(711\) 0 0
\(712\) −0.0642745 + 0.111327i −0.00240879 + 0.00417215i
\(713\) 10.3086 17.8549i 0.386058 0.668673i
\(714\) 0 0
\(715\) −11.1899 19.3815i −0.418479 0.724827i
\(716\) −32.7192 −1.22277
\(717\) 0 0
\(718\) −1.43842 −0.0536815
\(719\) 7.49790 12.9867i 0.279624 0.484324i −0.691667 0.722217i \(-0.743123\pi\)
0.971291 + 0.237893i \(0.0764567\pi\)
\(720\) 0 0
\(721\) 0 0
\(722\) −0.525886 + 0.910861i −0.0195715 + 0.0338987i
\(723\) 0 0
\(724\) 14.4008 24.9429i 0.535200 0.926994i
\(725\) 6.69501 11.5961i 0.248646 0.430668i
\(726\) 0 0
\(727\) −13.0527 + 22.6080i −0.484099 + 0.838485i −0.999833 0.0182642i \(-0.994186\pi\)
0.515734 + 0.856749i \(0.327519\pi\)
\(728\) 0 0
\(729\) 0 0
\(730\) 0.200223 0.346796i 0.00741059 0.0128355i
\(731\) 73.7447 2.72754
\(732\) 0 0
\(733\) 28.3821 1.04832 0.524159 0.851621i \(-0.324380\pi\)
0.524159 + 0.851621i \(0.324380\pi\)
\(734\) −1.19784 2.07473i −0.0442132 0.0765796i
\(735\) 0 0
\(736\) 1.25486 2.17348i 0.0462548 0.0801156i
\(737\) 2.65881 4.60520i 0.0979386 0.169635i
\(738\) 0 0
\(739\) −23.2933 40.3451i −0.856857 1.48412i −0.874912 0.484282i \(-0.839081\pi\)
0.0180552 0.999837i \(-0.494253\pi\)
\(740\) −11.2403 19.4688i −0.413202 0.715686i
\(741\) 0 0
\(742\) 0 0
\(743\) 0.169513 + 0.293606i 0.00621884 + 0.0107713i 0.869118 0.494605i \(-0.164687\pi\)
−0.862899 + 0.505376i \(0.831354\pi\)
\(744\) 0 0
\(745\) −23.4755 −0.860075
\(746\) 0.0385841 + 0.0668297i 0.00141267 + 0.00244681i
\(747\) 0 0
\(748\) 20.8907 0.763839
\(749\) 0 0
\(750\) 0 0
\(751\) −36.3662 −1.32702 −0.663510 0.748168i \(-0.730934\pi\)
−0.663510 + 0.748168i \(0.730934\pi\)
\(752\) −7.54511 + 13.0685i −0.275142 + 0.476560i
\(753\) 0 0
\(754\) 1.14754 + 1.98760i 0.0417911 + 0.0723843i
\(755\) −12.4245 −0.452174
\(756\) 0 0
\(757\) −27.4703 −0.998424 −0.499212 0.866480i \(-0.666377\pi\)
−0.499212 + 0.866480i \(0.666377\pi\)
\(758\) −0.750812 1.30044i −0.0272707 0.0472343i
\(759\) 0 0
\(760\) −0.692005 + 1.19859i −0.0251017 + 0.0434773i
\(761\) −33.0357 −1.19754 −0.598771 0.800920i \(-0.704344\pi\)
−0.598771 + 0.800920i \(0.704344\pi\)
\(762\) 0 0
\(763\) 0 0
\(764\) 5.66934 0.205110
\(765\) 0 0
\(766\) −0.787671 1.36429i −0.0284597 0.0492937i
\(767\) 57.2285 2.06640
\(768\) 0 0
\(769\) −1.28876 2.23219i −0.0464738 0.0804949i 0.841853 0.539707i \(-0.181465\pi\)
−0.888327 + 0.459212i \(0.848132\pi\)
\(770\) 0 0
\(771\) 0 0
\(772\) 8.80822 + 15.2563i 0.317015 + 0.549086i
\(773\) 3.36486 + 5.82811i 0.121026 + 0.209623i 0.920172 0.391513i \(-0.128048\pi\)
−0.799147 + 0.601136i \(0.794715\pi\)
\(774\) 0 0
\(775\) 7.04102 12.1954i 0.252921 0.438072i
\(776\) −0.703765 + 1.21896i −0.0252637 + 0.0437580i
\(777\) 0 0
\(778\) −0.539302 0.934099i −0.0193349 0.0334891i
\(779\) −14.0609 −0.503785
\(780\) 0 0
\(781\) 19.8116 0.708916
\(782\) −0.686792 + 1.18956i −0.0245596 + 0.0425385i
\(783\) 0 0
\(784\) 0 0
\(785\) 5.42473 9.39590i 0.193617 0.335354i
\(786\) 0 0
\(787\) −14.3341 + 24.8274i −0.510956 + 0.885003i 0.488963 + 0.872305i \(0.337375\pi\)
−0.999919 + 0.0126980i \(0.995958\pi\)
\(788\) −5.71016 + 9.89029i −0.203416 + 0.352327i
\(789\) 0 0
\(790\) −0.0740881 + 0.128324i −0.00263594 + 0.00456558i
\(791\) 0 0
\(792\) 0 0
\(793\) −7.12905 + 12.3479i −0.253160 + 0.438486i
\(794\) 1.12855 0.0400507
\(795\) 0 0
\(796\) −22.7767 −0.807300
\(797\) −11.4913 19.9035i −0.407042 0.705017i 0.587515 0.809213i \(-0.300106\pi\)
−0.994557 + 0.104196i \(0.966773\pi\)
\(798\) 0 0
\(799\) 12.4370 21.5415i 0.439989 0.762084i
\(800\) 0.857104 1.48455i 0.0303032 0.0524867i
\(801\) 0 0
\(802\) −0.740489 1.28256i −0.0261476 0.0452889i
\(803\) 1.75795 + 3.04485i 0.0620366 + 0.107451i
\(804\) 0 0
\(805\) 0 0
\(806\) 1.20685 + 2.09033i 0.0425095 + 0.0736287i
\(807\) 0 0
\(808\) −0.503977 −0.0177299
\(809\) −8.23894 14.2703i −0.289666 0.501716i 0.684064 0.729422i \(-0.260211\pi\)
−0.973730 + 0.227706i \(0.926878\pi\)
\(810\) 0 0
\(811\) 40.4318 1.41975 0.709876 0.704326i \(-0.248751\pi\)
0.709876 + 0.704326i \(0.248751\pi\)
\(812\) 0 0
\(813\) 0 0
\(814\) −0.462453 −0.0162090
\(815\) −16.1456 + 27.9649i −0.565554 + 0.979569i
\(816\) 0 0
\(817\) −10.7113 18.5524i −0.374739 0.649068i
\(818\) −2.09033 −0.0730868
\(819\) 0 0
\(820\) 39.2945 1.37222
\(821\) −14.0543 24.3428i −0.490499 0.849569i 0.509441 0.860506i \(-0.329852\pi\)
−0.999940 + 0.0109361i \(0.996519\pi\)
\(822\) 0 0
\(823\) −12.9529 + 22.4351i −0.451510 + 0.782038i −0.998480 0.0551142i \(-0.982448\pi\)
0.546970 + 0.837152i \(0.315781\pi\)
\(824\) −1.41451 −0.0492769
\(825\) 0 0
\(826\) 0 0
\(827\) 17.7998 0.618961 0.309480 0.950906i \(-0.399845\pi\)
0.309480 + 0.950906i \(0.399845\pi\)
\(828\) 0 0
\(829\) 7.85344 + 13.6026i 0.272761 + 0.472436i 0.969568 0.244823i \(-0.0787297\pi\)
−0.696807 + 0.717259i \(0.745396\pi\)
\(830\) 1.24522 0.0432223
\(831\) 0 0
\(832\) −20.7210 35.8899i −0.718373 1.24426i
\(833\) 0 0
\(834\) 0 0
\(835\) −6.39180 11.0709i −0.221197 0.383125i
\(836\) −3.03433 5.25561i −0.104944 0.181769i
\(837\) 0 0
\(838\) −0.738994 + 1.27998i −0.0255281 + 0.0442160i
\(839\) 3.69822 6.40550i 0.127677 0.221142i −0.795099 0.606479i \(-0.792581\pi\)
0.922776 + 0.385337i \(0.125915\pi\)
\(840\) 0 0
\(841\) −5.90986 10.2362i −0.203788 0.352971i
\(842\) 1.86274 0.0641942
\(843\) 0 0
\(844\) 42.6675 1.46868
\(845\) 19.4489 33.6865i 0.669062 1.15885i
\(846\) 0 0
\(847\) 0 0
\(848\) 17.6725 30.6097i 0.606878 1.05114i
\(849\) 0 0
\(850\) −0.469098 + 0.812501i −0.0160899 + 0.0278686i
\(851\) −6.48892 + 11.2391i −0.222437 + 0.385273i
\(852\) 0 0
\(853\) −26.5631 + 46.0086i −0.909503 + 1.57530i −0.0947464 + 0.995501i \(0.530204\pi\)
−0.814756 + 0.579804i \(0.803129\pi\)
\(854\) 0 0
\(855\) 0 0
\(856\) −2.31502 + 4.00973i −0.0791257 + 0.137050i
\(857\) −3.81530 −0.130328 −0.0651640 0.997875i \(-0.520757\pi\)
−0.0651640 + 0.997875i \(0.520757\pi\)
\(858\) 0 0
\(859\) −38.9768 −1.32987 −0.664936 0.746901i \(-0.731541\pi\)
−0.664936 + 0.746901i \(0.731541\pi\)
\(860\) 29.9336 + 51.8464i 1.02073 + 1.76795i
\(861\) 0 0
\(862\) −0.280226 + 0.485366i −0.00954454 + 0.0165316i
\(863\) 13.3368 23.1000i 0.453989 0.786332i −0.544640 0.838670i \(-0.683334\pi\)
0.998629 + 0.0523375i \(0.0166672\pi\)
\(864\) 0 0
\(865\) 6.70171 + 11.6077i 0.227865 + 0.394674i
\(866\) −0.116737 0.202195i −0.00396690 0.00687087i
\(867\) 0 0
\(868\) 0 0
\(869\) −0.650490 1.12668i −0.0220664 0.0382200i
\(870\) 0 0
\(871\) 17.4706 0.591970
\(872\) 1.16099 + 2.01089i 0.0393160 + 0.0680974i
\(873\) 0 0
\(874\) 0.399020 0.0134971
\(875\) 0 0
\(876\) 0 0
\(877\) 24.0135 0.810879 0.405440 0.914122i \(-0.367118\pi\)
0.405440 + 0.914122i \(0.367118\pi\)
\(878\) −0.225235 + 0.390118i −0.00760130 + 0.0131658i
\(879\) 0 0
\(880\) 8.45978 + 14.6528i 0.285179 + 0.493945i
\(881\) −4.67326 −0.157446 −0.0787231 0.996897i \(-0.525084\pi\)
−0.0787231 + 0.996897i \(0.525084\pi\)
\(882\) 0 0
\(883\) −35.6948 −1.20122 −0.600612 0.799541i \(-0.705076\pi\)
−0.600612 + 0.799541i \(0.705076\pi\)
\(884\) 34.3173 + 59.4393i 1.15422 + 1.99916i
\(885\) 0 0
\(886\) −0.980867 + 1.69891i −0.0329529 + 0.0570761i
\(887\) 29.1032 0.977191 0.488596 0.872510i \(-0.337509\pi\)
0.488596 + 0.872510i \(0.337509\pi\)
\(888\) 0 0
\(889\) 0 0
\(890\) 0.0857071 0.00287291
\(891\) 0 0
\(892\) −7.15098 12.3859i −0.239433 0.414710i
\(893\) −7.22579 −0.241802
\(894\) 0 0
\(895\) 21.8403 + 37.8285i 0.730041 + 1.26447i
\(896\) 0 0
\(897\) 0 0
\(898\) −0.0156482 0.0271035i −0.000522187 0.000904455i
\(899\) −21.4647 37.1779i −0.715887 1.23995i
\(900\) 0 0
\(901\) −29.1306 + 50.4556i −0.970480 + 1.68092i
\(902\) 0.404168 0.700040i 0.0134573 0.0233088i
\(903\) 0 0
\(904\) 0.533229 + 0.923579i 0.0177349 + 0.0307178i
\(905\) −38.4505 −1.27814
\(906\) 0 0
\(907\) −41.2142 −1.36849 −0.684247 0.729250i \(-0.739869\pi\)
−0.684247 + 0.729250i \(0.739869\pi\)
\(908\) −13.7564 + 23.8269i −0.456524 + 0.790722i
\(909\) 0 0
\(910\) 0 0
\(911\) −28.8619 + 49.9903i −0.956239 + 1.65625i −0.224731 + 0.974421i \(0.572150\pi\)
−0.731508 + 0.681833i \(0.761183\pi\)
\(912\) 0 0
\(913\) −5.46649 + 9.46824i −0.180914 + 0.313353i
\(914\) 0.691296 1.19736i 0.0228660 0.0396051i
\(915\) 0 0
\(916\) 26.3326 45.6094i 0.870054 1.50698i
\(917\) 0 0
\(918\) 0 0
\(919\) 25.7799 44.6521i 0.850400 1.47294i −0.0304476 0.999536i \(-0.509693\pi\)
0.880848 0.473400i \(-0.156973\pi\)
\(920\) −2.23281 −0.0736135
\(921\) 0 0
\(922\) −1.65514 −0.0545090
\(923\) 32.5447 + 56.3691i 1.07122 + 1.85541i
\(924\) 0 0
\(925\) −4.43211 + 7.67664i −0.145727 + 0.252406i
\(926\) −0.164263 + 0.284511i −0.00539801 + 0.00934962i
\(927\) 0 0
\(928\) −2.61290 4.52567i −0.0857725 0.148562i
\(929\) 25.1412 + 43.5458i 0.824856 + 1.42869i 0.902029 + 0.431675i \(0.142077\pi\)
−0.0771732 + 0.997018i \(0.524589\pi\)
\(930\) 0 0
\(931\) 0 0
\(932\) 12.6150 + 21.8499i 0.413219 + 0.715717i
\(933\) 0 0
\(934\) 1.86289 0.0609557
\(935\) −13.9447 24.1529i −0.456040 0.789885i
\(936\) 0 0
\(937\) −18.1400 −0.592607 −0.296303 0.955094i \(-0.595754\pi\)
−0.296303 + 0.955094i \(0.595754\pi\)
\(938\) 0 0
\(939\) 0 0
\(940\) 20.1931 0.658627
\(941\) 8.51660 14.7512i 0.277633 0.480875i −0.693163 0.720781i \(-0.743783\pi\)
0.970796 + 0.239906i \(0.0771166\pi\)
\(942\) 0 0
\(943\) −11.3422 19.6452i −0.369352 0.639737i
\(944\) −43.2658 −1.40818
\(945\) 0 0
\(946\) 1.23154 0.0400408
\(947\) 15.7530 + 27.2849i 0.511903 + 0.886641i 0.999905 + 0.0137988i \(0.00439243\pi\)
−0.488002 + 0.872842i \(0.662274\pi\)
\(948\) 0 0
\(949\) −5.77559 + 10.0036i −0.187484 + 0.324731i
\(950\) 0.272542 0.00884243
\(951\) 0 0
\(952\) 0 0
\(953\) −16.0677 −0.520485 −0.260242 0.965543i \(-0.583803\pi\)
−0.260242 + 0.965543i \(0.583803\pi\)
\(954\) 0 0
\(955\) −3.78433 6.55465i −0.122458 0.212104i
\(956\) −30.7935 −0.995932
\(957\) 0 0
\(958\) 0.701705 + 1.21539i 0.0226711 + 0.0392674i
\(959\) 0 0
\(960\) 0 0
\(961\) −7.07402 12.2526i −0.228194 0.395244i
\(962\) −0.759676 1.31580i −0.0244929 0.0424230i
\(963\) 0 0
\(964\) −1.17713 + 2.03884i −0.0379126 + 0.0656666i
\(965\) 11.7591 20.3674i 0.378539 0.655649i
\(966\) 0 0
\(967\) 13.3049 + 23.0448i 0.427857 + 0.741069i 0.996682 0.0813886i \(-0.0259355\pi\)
−0.568826 + 0.822458i \(0.692602\pi\)
\(968\) −2.30637 −0.0741296
\(969\) 0 0
\(970\) 0.938438 0.0301314
\(971\) 28.2839 48.9892i 0.907674 1.57214i 0.0903867 0.995907i \(-0.471190\pi\)
0.817287 0.576231i \(-0.195477\pi\)
\(972\) 0 0
\(973\) 0 0
\(974\) 0.883558 1.53037i 0.0283110 0.0490361i
\(975\) 0 0
\(976\) 5.38969 9.33522i 0.172520 0.298813i
\(977\) 26.8780 46.5541i 0.859904 1.48940i −0.0121160 0.999927i \(-0.503857\pi\)
0.872020 0.489471i \(-0.162810\pi\)
\(978\) 0 0
\(979\) −0.376252 + 0.651687i −0.0120251 + 0.0208280i
\(980\) 0 0
\(981\) 0 0
\(982\) −0.533847 + 0.924650i −0.0170357 + 0.0295068i
\(983\) 27.4102 0.874249 0.437125 0.899401i \(-0.355997\pi\)
0.437125 + 0.899401i \(0.355997\pi\)
\(984\) 0 0
\(985\) 15.2463 0.485788
\(986\) 1.43005 + 2.47692i 0.0455421 + 0.0788813i
\(987\) 0 0
\(988\) 9.96904 17.2669i 0.317157 0.549333i
\(989\) 17.2804 29.9305i 0.549483 0.951733i
\(990\) 0 0
\(991\) 8.66869 + 15.0146i 0.275370 + 0.476955i 0.970228 0.242192i \(-0.0778663\pi\)
−0.694858 + 0.719147i \(0.744533\pi\)
\(992\) −2.74794 4.75957i −0.0872471 0.151116i
\(993\) 0 0
\(994\) 0 0
\(995\) 15.2037 + 26.3335i 0.481988 + 0.834828i
\(996\) 0 0
\(997\) 35.6638 1.12948 0.564742 0.825268i \(-0.308976\pi\)
0.564742 + 0.825268i \(0.308976\pi\)
\(998\) 0.727124 + 1.25942i 0.0230167 + 0.0398661i
\(999\) 0 0
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (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 1323.2.g.h.667.7 24
3.2 odd 2 441.2.g.h.79.6 24
7.2 even 3 1323.2.f.h.883.8 24
7.3 odd 6 1323.2.h.h.802.6 24
7.4 even 3 1323.2.h.h.802.5 24
7.5 odd 6 1323.2.f.h.883.7 24
7.6 odd 2 inner 1323.2.g.h.667.8 24
9.4 even 3 1323.2.h.h.226.5 24
9.5 odd 6 441.2.h.h.373.8 24
21.2 odd 6 441.2.f.h.295.5 yes 24
21.5 even 6 441.2.f.h.295.6 yes 24
21.11 odd 6 441.2.h.h.214.8 24
21.17 even 6 441.2.h.h.214.7 24
21.20 even 2 441.2.g.h.79.5 24
63.2 odd 6 3969.2.a.bh.1.8 12
63.4 even 3 inner 1323.2.g.h.361.7 24
63.5 even 6 441.2.f.h.148.6 yes 24
63.13 odd 6 1323.2.h.h.226.6 24
63.16 even 3 3969.2.a.bi.1.5 12
63.23 odd 6 441.2.f.h.148.5 24
63.31 odd 6 inner 1323.2.g.h.361.8 24
63.32 odd 6 441.2.g.h.67.6 24
63.40 odd 6 1323.2.f.h.442.7 24
63.41 even 6 441.2.h.h.373.7 24
63.47 even 6 3969.2.a.bh.1.7 12
63.58 even 3 1323.2.f.h.442.8 24
63.59 even 6 441.2.g.h.67.5 24
63.61 odd 6 3969.2.a.bi.1.6 12
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
441.2.f.h.148.5 24 63.23 odd 6
441.2.f.h.148.6 yes 24 63.5 even 6
441.2.f.h.295.5 yes 24 21.2 odd 6
441.2.f.h.295.6 yes 24 21.5 even 6
441.2.g.h.67.5 24 63.59 even 6
441.2.g.h.67.6 24 63.32 odd 6
441.2.g.h.79.5 24 21.20 even 2
441.2.g.h.79.6 24 3.2 odd 2
441.2.h.h.214.7 24 21.17 even 6
441.2.h.h.214.8 24 21.11 odd 6
441.2.h.h.373.7 24 63.41 even 6
441.2.h.h.373.8 24 9.5 odd 6
1323.2.f.h.442.7 24 63.40 odd 6
1323.2.f.h.442.8 24 63.58 even 3
1323.2.f.h.883.7 24 7.5 odd 6
1323.2.f.h.883.8 24 7.2 even 3
1323.2.g.h.361.7 24 63.4 even 3 inner
1323.2.g.h.361.8 24 63.31 odd 6 inner
1323.2.g.h.667.7 24 1.1 even 1 trivial
1323.2.g.h.667.8 24 7.6 odd 2 inner
1323.2.h.h.226.5 24 9.4 even 3
1323.2.h.h.226.6 24 63.13 odd 6
1323.2.h.h.802.5 24 7.4 even 3
1323.2.h.h.802.6 24 7.3 odd 6
3969.2.a.bh.1.7 12 63.47 even 6
3969.2.a.bh.1.8 12 63.2 odd 6
3969.2.a.bi.1.5 12 63.16 even 3
3969.2.a.bi.1.6 12 63.61 odd 6