Properties

Label 287.2.r.c.9.14
Level $287$
Weight $2$
Character 287.9
Analytic conductor $2.292$
Analytic rank $0$
Dimension $96$
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] = [287,2,Mod(9,287)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(287, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([4, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("287.9");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 287 = 7 \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 287.r (of order \(12\), degree \(4\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.29170653801\)
Analytic rank: \(0\)
Dimension: \(96\)
Relative dimension: \(24\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 9.14
Character \(\chi\) \(=\) 287.9
Dual form 287.2.r.c.32.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.395417 + 0.228294i) q^{2} +(0.613202 - 2.28850i) q^{3} +(-0.895764 - 1.55151i) q^{4} +(1.59768 + 0.922421i) q^{5} +(0.764922 - 0.764922i) q^{6} +(2.63921 + 0.185981i) q^{7} -1.73117i q^{8} +(-2.26315 - 1.30663i) q^{9} +O(q^{10})\) \(q+(0.395417 + 0.228294i) q^{2} +(0.613202 - 2.28850i) q^{3} +(-0.895764 - 1.55151i) q^{4} +(1.59768 + 0.922421i) q^{5} +(0.764922 - 0.764922i) q^{6} +(2.63921 + 0.185981i) q^{7} -1.73117i q^{8} +(-2.26315 - 1.30663i) q^{9} +(0.421167 + 0.729482i) q^{10} +(-0.744065 + 2.77689i) q^{11} +(-4.09991 + 1.09857i) q^{12} +(-3.56865 - 3.56865i) q^{13} +(1.00113 + 0.676055i) q^{14} +(3.09066 - 3.09066i) q^{15} +(-1.39631 + 2.41848i) q^{16} +(0.144212 + 0.0386414i) q^{17} +(-0.596592 - 1.03333i) q^{18} +(0.578741 + 2.15989i) q^{19} -3.30508i q^{20} +(2.04399 - 5.92579i) q^{21} +(-0.928164 + 0.928164i) q^{22} +(0.0966407 - 0.167387i) q^{23} +(-3.96178 - 1.06156i) q^{24} +(-0.798279 - 1.38266i) q^{25} +(-0.596403 - 2.22580i) q^{26} +(0.647904 - 0.647904i) q^{27} +(-2.07555 - 4.26134i) q^{28} +(2.99290 + 2.99290i) q^{29} +(1.92768 - 0.516521i) q^{30} +(0.839420 + 1.45392i) q^{31} +(-4.10272 + 2.36871i) q^{32} +(5.89866 + 3.40559i) q^{33} +(0.0482021 + 0.0482021i) q^{34} +(4.04506 + 2.73160i) q^{35} +4.68173i q^{36} +(-3.84924 + 6.66707i) q^{37} +(-0.264246 + 0.986180i) q^{38} +(-10.3552 + 5.97855i) q^{39} +(1.59686 - 2.76585i) q^{40} +(2.55987 + 5.86916i) q^{41} +(2.16105 - 1.87653i) q^{42} -5.10702i q^{43} +(4.97487 - 1.33301i) q^{44} +(-2.41053 - 4.17516i) q^{45} +(0.0764268 - 0.0441250i) q^{46} +(1.80793 + 6.74727i) q^{47} +(4.67848 + 4.67848i) q^{48} +(6.93082 + 0.981684i) q^{49} -0.728969i q^{50} +(0.176862 - 0.306334i) q^{51} +(-2.34012 + 8.73345i) q^{52} +(1.86350 - 6.95468i) q^{53} +(0.404105 - 0.108280i) q^{54} +(-3.75024 + 3.75024i) q^{55} +(0.321964 - 4.56891i) q^{56} +5.29780 q^{57} +(0.500182 + 1.86670i) q^{58} +(2.45485 + 4.25193i) q^{59} +(-7.56369 - 2.02669i) q^{60} +(8.90788 + 5.14297i) q^{61} +0.766539i q^{62} +(-5.72991 - 3.86937i) q^{63} +3.42220 q^{64} +(-2.40976 - 8.99335i) q^{65} +(1.55495 + 2.69326i) q^{66} +(-6.26615 - 1.67901i) q^{67} +(-0.0692271 - 0.258359i) q^{68} +(-0.323805 - 0.323805i) q^{69} +(0.975876 + 2.00358i) q^{70} +(-1.81591 - 1.81591i) q^{71} +(-2.26200 + 3.91789i) q^{72} +(6.18598 - 3.57147i) q^{73} +(-3.04411 + 1.75752i) q^{74} +(-3.65373 + 0.979013i) q^{75} +(2.83267 - 2.83267i) q^{76} +(-2.48019 + 7.19040i) q^{77} -5.45948 q^{78} +(-14.2138 + 3.80857i) q^{79} +(-4.46172 + 2.57597i) q^{80} +(-5.00532 - 8.66948i) q^{81} +(-0.327677 + 2.90517i) q^{82} -12.9509 q^{83} +(-11.0248 + 2.13684i) q^{84} +(0.194760 + 0.194760i) q^{85} +(1.16590 - 2.01940i) q^{86} +(8.68450 - 5.01400i) q^{87} +(4.80726 + 1.28810i) q^{88} +(11.0604 - 2.96362i) q^{89} -2.20124i q^{90} +(-8.75470 - 10.0821i) q^{91} -0.346269 q^{92} +(3.84203 - 1.02947i) q^{93} +(-0.825478 + 3.08073i) q^{94} +(-1.06769 + 3.98466i) q^{95} +(2.90499 + 10.8416i) q^{96} +(-7.78318 + 7.78318i) q^{97} +(2.51645 + 1.97044i) q^{98} +(5.31230 - 5.31230i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 96 q - 4 q^{3} + 48 q^{4} - 28 q^{6} - 14 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 96 q - 4 q^{3} + 48 q^{4} - 28 q^{6} - 14 q^{7} - 28 q^{10} + 12 q^{12} - 8 q^{13} + 8 q^{14} - 20 q^{15} - 40 q^{16} - 20 q^{17} - 16 q^{18} - 8 q^{19} - 12 q^{22} + 12 q^{23} - 30 q^{24} + 40 q^{25} + 8 q^{26} - 4 q^{27} - 20 q^{28} - 72 q^{29} + 14 q^{30} + 24 q^{31} + 40 q^{34} + 20 q^{35} + 16 q^{37} - 18 q^{38} + 80 q^{40} - 88 q^{41} - 76 q^{42} + 4 q^{44} - 16 q^{45} + 14 q^{47} - 24 q^{48} - 8 q^{51} + 10 q^{52} - 4 q^{53} + 16 q^{54} - 60 q^{55} + 36 q^{56} + 128 q^{57} - 16 q^{58} - 8 q^{59} + 54 q^{60} + 30 q^{63} - 16 q^{64} + 48 q^{66} + 14 q^{67} - 30 q^{68} + 56 q^{69} - 34 q^{70} - 68 q^{71} + 112 q^{72} - 62 q^{75} - 84 q^{76} - 96 q^{78} - 26 q^{79} - 32 q^{81} + 14 q^{82} + 56 q^{83} - 92 q^{85} + 36 q^{86} + 6 q^{88} + 40 q^{89} - 160 q^{92} - 78 q^{93} + 96 q^{94} + 72 q^{95} + 24 q^{96} + 60 q^{97} - 116 q^{98} - 128 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).

\(n\) \(206\) \(211\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.395417 + 0.228294i 0.279602 + 0.161428i 0.633243 0.773953i \(-0.281723\pi\)
−0.353641 + 0.935381i \(0.615057\pi\)
\(3\) 0.613202 2.28850i 0.354033 1.32127i −0.527665 0.849453i \(-0.676932\pi\)
0.881698 0.471815i \(-0.156401\pi\)
\(4\) −0.895764 1.55151i −0.447882 0.775754i
\(5\) 1.59768 + 0.922421i 0.714504 + 0.412519i 0.812727 0.582645i \(-0.197982\pi\)
−0.0982223 + 0.995164i \(0.531316\pi\)
\(6\) 0.764922 0.764922i 0.312278 0.312278i
\(7\) 2.63921 + 0.185981i 0.997526 + 0.0702942i
\(8\) 1.73117i 0.612060i
\(9\) −2.26315 1.30663i −0.754383 0.435544i
\(10\) 0.421167 + 0.729482i 0.133185 + 0.230682i
\(11\) −0.744065 + 2.77689i −0.224344 + 0.837264i 0.758322 + 0.651880i \(0.226019\pi\)
−0.982666 + 0.185384i \(0.940647\pi\)
\(12\) −4.09991 + 1.09857i −1.18354 + 0.317129i
\(13\) −3.56865 3.56865i −0.989764 0.989764i 0.0101837 0.999948i \(-0.496758\pi\)
−0.999948 + 0.0101837i \(0.996758\pi\)
\(14\) 1.00113 + 0.676055i 0.267563 + 0.180683i
\(15\) 3.09066 3.09066i 0.798006 0.798006i
\(16\) −1.39631 + 2.41848i −0.349078 + 0.604621i
\(17\) 0.144212 + 0.0386414i 0.0349765 + 0.00937191i 0.276265 0.961082i \(-0.410903\pi\)
−0.241288 + 0.970453i \(0.577570\pi\)
\(18\) −0.596592 1.03333i −0.140618 0.243558i
\(19\) 0.578741 + 2.15989i 0.132772 + 0.495513i 0.999997 0.00240401i \(-0.000765220\pi\)
−0.867225 + 0.497917i \(0.834099\pi\)
\(20\) 3.30508i 0.739039i
\(21\) 2.04399 5.92579i 0.446034 1.29311i
\(22\) −0.928164 + 0.928164i −0.197885 + 0.197885i
\(23\) 0.0966407 0.167387i 0.0201510 0.0349025i −0.855774 0.517350i \(-0.826919\pi\)
0.875925 + 0.482447i \(0.160252\pi\)
\(24\) −3.96178 1.06156i −0.808695 0.216689i
\(25\) −0.798279 1.38266i −0.159656 0.276532i
\(26\) −0.596403 2.22580i −0.116964 0.436516i
\(27\) 0.647904 0.647904i 0.124689 0.124689i
\(28\) −2.07555 4.26134i −0.392243 0.805319i
\(29\) 2.99290 + 2.99290i 0.555767 + 0.555767i 0.928099 0.372333i \(-0.121442\pi\)
−0.372333 + 0.928099i \(0.621442\pi\)
\(30\) 1.92768 0.516521i 0.351945 0.0943034i
\(31\) 0.839420 + 1.45392i 0.150764 + 0.261131i 0.931509 0.363719i \(-0.118493\pi\)
−0.780744 + 0.624851i \(0.785160\pi\)
\(32\) −4.10272 + 2.36871i −0.725265 + 0.418732i
\(33\) 5.89866 + 3.40559i 1.02682 + 0.592837i
\(34\) 0.0482021 + 0.0482021i 0.00826660 + 0.00826660i
\(35\) 4.04506 + 2.73160i 0.683739 + 0.461724i
\(36\) 4.68173i 0.780288i
\(37\) −3.84924 + 6.66707i −0.632811 + 1.09606i 0.354164 + 0.935183i \(0.384766\pi\)
−0.986974 + 0.160877i \(0.948568\pi\)
\(38\) −0.264246 + 0.986180i −0.0428664 + 0.159980i
\(39\) −10.3552 + 5.97855i −1.65815 + 0.957335i
\(40\) 1.59686 2.76585i 0.252486 0.437319i
\(41\) 2.55987 + 5.86916i 0.399785 + 0.916609i
\(42\) 2.16105 1.87653i 0.333457 0.289554i
\(43\) 5.10702i 0.778813i −0.921066 0.389407i \(-0.872680\pi\)
0.921066 0.389407i \(-0.127320\pi\)
\(44\) 4.97487 1.33301i 0.749990 0.200959i
\(45\) −2.41053 4.17516i −0.359340 0.622395i
\(46\) 0.0764268 0.0441250i 0.0112685 0.00650588i
\(47\) 1.80793 + 6.74727i 0.263713 + 0.984191i 0.963033 + 0.269382i \(0.0868195\pi\)
−0.699320 + 0.714809i \(0.746514\pi\)
\(48\) 4.67848 + 4.67848i 0.675281 + 0.675281i
\(49\) 6.93082 + 0.981684i 0.990117 + 0.140241i
\(50\) 0.728969i 0.103092i
\(51\) 0.176862 0.306334i 0.0247656 0.0428953i
\(52\) −2.34012 + 8.73345i −0.324516 + 1.21111i
\(53\) 1.86350 6.95468i 0.255972 0.955299i −0.711576 0.702610i \(-0.752018\pi\)
0.967547 0.252690i \(-0.0813152\pi\)
\(54\) 0.404105 0.108280i 0.0549917 0.0147350i
\(55\) −3.75024 + 3.75024i −0.505682 + 0.505682i
\(56\) 0.321964 4.56891i 0.0430242 0.610546i
\(57\) 5.29780 0.701710
\(58\) 0.500182 + 1.86670i 0.0656771 + 0.245110i
\(59\) 2.45485 + 4.25193i 0.319595 + 0.553555i 0.980404 0.197000i \(-0.0631199\pi\)
−0.660809 + 0.750554i \(0.729787\pi\)
\(60\) −7.56369 2.02669i −0.976469 0.261644i
\(61\) 8.90788 + 5.14297i 1.14054 + 0.658489i 0.946564 0.322517i \(-0.104529\pi\)
0.193974 + 0.981007i \(0.437862\pi\)
\(62\) 0.766539i 0.0973505i
\(63\) −5.72991 3.86937i −0.721901 0.487495i
\(64\) 3.42220 0.427775
\(65\) −2.40976 8.99335i −0.298894 1.11549i
\(66\) 1.55495 + 2.69326i 0.191401 + 0.331517i
\(67\) −6.26615 1.67901i −0.765532 0.205124i −0.145136 0.989412i \(-0.546362\pi\)
−0.620397 + 0.784288i \(0.713028\pi\)
\(68\) −0.0692271 0.258359i −0.00839502 0.0313306i
\(69\) −0.323805 0.323805i −0.0389815 0.0389815i
\(70\) 0.975876 + 2.00358i 0.116639 + 0.239474i
\(71\) −1.81591 1.81591i −0.215509 0.215509i 0.591094 0.806603i \(-0.298696\pi\)
−0.806603 + 0.591094i \(0.798696\pi\)
\(72\) −2.26200 + 3.91789i −0.266579 + 0.461728i
\(73\) 6.18598 3.57147i 0.724014 0.418009i −0.0922145 0.995739i \(-0.529395\pi\)
0.816228 + 0.577730i \(0.196061\pi\)
\(74\) −3.04411 + 1.75752i −0.353870 + 0.204307i
\(75\) −3.65373 + 0.979013i −0.421896 + 0.113047i
\(76\) 2.83267 2.83267i 0.324930 0.324930i
\(77\) −2.48019 + 7.19040i −0.282644 + 0.819422i
\(78\) −5.45948 −0.618164
\(79\) −14.2138 + 3.80857i −1.59918 + 0.428498i −0.944794 0.327666i \(-0.893738\pi\)
−0.654382 + 0.756164i \(0.727071\pi\)
\(80\) −4.46172 + 2.57597i −0.498835 + 0.288003i
\(81\) −5.00532 8.66948i −0.556147 0.963275i
\(82\) −0.327677 + 2.90517i −0.0361859 + 0.320822i
\(83\) −12.9509 −1.42154 −0.710771 0.703423i \(-0.751654\pi\)
−0.710771 + 0.703423i \(0.751654\pi\)
\(84\) −11.0248 + 2.13684i −1.20291 + 0.233149i
\(85\) 0.194760 + 0.194760i 0.0211247 + 0.0211247i
\(86\) 1.16590 2.01940i 0.125723 0.217758i
\(87\) 8.68450 5.01400i 0.931076 0.537557i
\(88\) 4.80726 + 1.28810i 0.512456 + 0.137312i
\(89\) 11.0604 2.96362i 1.17240 0.314143i 0.380490 0.924785i \(-0.375755\pi\)
0.791907 + 0.610642i \(0.209089\pi\)
\(90\) 2.20124i 0.232031i
\(91\) −8.75470 10.0821i −0.917741 1.05689i
\(92\) −0.346269 −0.0361010
\(93\) 3.84203 1.02947i 0.398400 0.106751i
\(94\) −0.825478 + 3.08073i −0.0851416 + 0.317753i
\(95\) −1.06769 + 3.98466i −0.109542 + 0.408817i
\(96\) 2.90499 + 10.8416i 0.296490 + 1.10651i
\(97\) −7.78318 + 7.78318i −0.790262 + 0.790262i −0.981537 0.191274i \(-0.938738\pi\)
0.191274 + 0.981537i \(0.438738\pi\)
\(98\) 2.51645 + 1.97044i 0.254200 + 0.199045i
\(99\) 5.31230 5.31230i 0.533906 0.533906i
\(100\) −1.43014 + 2.47707i −0.143014 + 0.247707i
\(101\) 16.3281 + 4.37510i 1.62471 + 0.435339i 0.952379 0.304916i \(-0.0986284\pi\)
0.672326 + 0.740255i \(0.265295\pi\)
\(102\) 0.139868 0.0807530i 0.0138490 0.00799574i
\(103\) −6.93411 4.00341i −0.683238 0.394468i 0.117836 0.993033i \(-0.462404\pi\)
−0.801074 + 0.598565i \(0.795738\pi\)
\(104\) −6.17792 + 6.17792i −0.605795 + 0.605795i
\(105\) 8.73171 7.58210i 0.852127 0.739937i
\(106\) 2.32457 2.32457i 0.225783 0.225783i
\(107\) 6.66123 11.5376i 0.643966 1.11538i −0.340574 0.940218i \(-0.610621\pi\)
0.984539 0.175163i \(-0.0560454\pi\)
\(108\) −1.58560 0.424859i −0.152574 0.0408821i
\(109\) 1.05807 + 0.283508i 0.101344 + 0.0271552i 0.309135 0.951018i \(-0.399961\pi\)
−0.207790 + 0.978173i \(0.566627\pi\)
\(110\) −2.33907 + 0.626751i −0.223021 + 0.0597584i
\(111\) 12.8973 + 12.8973i 1.22415 + 1.22415i
\(112\) −4.13495 + 6.12319i −0.390716 + 0.578587i
\(113\) −8.36079 −0.786517 −0.393258 0.919428i \(-0.628652\pi\)
−0.393258 + 0.919428i \(0.628652\pi\)
\(114\) 2.09484 + 1.20946i 0.196200 + 0.113276i
\(115\) 0.308802 0.178287i 0.0287959 0.0166253i
\(116\) 1.96257 7.32443i 0.182221 0.680056i
\(117\) 3.41348 + 12.7393i 0.315576 + 1.17775i
\(118\) 2.24172i 0.206367i
\(119\) 0.373418 + 0.128803i 0.0342311 + 0.0118074i
\(120\) −5.35046 5.35046i −0.488428 0.488428i
\(121\) 2.36880 + 1.36763i 0.215345 + 0.124330i
\(122\) 2.34822 + 4.06723i 0.212598 + 0.368230i
\(123\) 15.0013 2.25929i 1.35262 0.203714i
\(124\) 1.50384 2.60473i 0.135049 0.233912i
\(125\) 12.1696i 1.08848i
\(126\) −1.38235 2.83812i −0.123150 0.252840i
\(127\) −15.1815 −1.34714 −0.673572 0.739122i \(-0.735241\pi\)
−0.673572 + 0.739122i \(0.735241\pi\)
\(128\) 9.55864 + 5.51868i 0.844872 + 0.487787i
\(129\) −11.6874 3.13164i −1.02902 0.275725i
\(130\) 1.10027 4.10626i 0.0964999 0.360143i
\(131\) −14.0217 8.09546i −1.22509 0.707304i −0.259088 0.965854i \(-0.583422\pi\)
−0.965998 + 0.258550i \(0.916755\pi\)
\(132\) 12.2024i 1.06208i
\(133\) 1.12572 + 5.80803i 0.0976121 + 0.503620i
\(134\) −2.09444 2.09444i −0.180932 0.180932i
\(135\) 1.63278 0.437503i 0.140528 0.0376543i
\(136\) 0.0668947 0.249654i 0.00573617 0.0214077i
\(137\) 0.668376 + 0.179091i 0.0571032 + 0.0153008i 0.287258 0.957853i \(-0.407256\pi\)
−0.230154 + 0.973154i \(0.573923\pi\)
\(138\) −0.0541152 0.201961i −0.00460659 0.0171920i
\(139\) 0.655026 0.0555586 0.0277793 0.999614i \(-0.491156\pi\)
0.0277793 + 0.999614i \(0.491156\pi\)
\(140\) 0.614683 8.72280i 0.0519502 0.737211i
\(141\) 16.5498 1.39374
\(142\) −0.303481 1.13261i −0.0254675 0.0950462i
\(143\) 12.5650 7.25443i 1.05074 0.606646i
\(144\) 6.32013 3.64893i 0.526677 0.304077i
\(145\) 2.02098 + 7.54240i 0.167833 + 0.626362i
\(146\) 3.26139 0.269914
\(147\) 6.49658 15.2592i 0.535829 1.25856i
\(148\) 13.7920 1.13370
\(149\) −3.99144 14.8962i −0.326991 1.22035i −0.912295 0.409534i \(-0.865691\pi\)
0.585304 0.810814i \(-0.300975\pi\)
\(150\) −1.66825 0.447006i −0.136212 0.0364979i
\(151\) 0.398557 1.48743i 0.0324341 0.121046i −0.947811 0.318833i \(-0.896709\pi\)
0.980245 + 0.197788i \(0.0633757\pi\)
\(152\) 3.73913 1.00190i 0.303283 0.0812645i
\(153\) −0.275883 0.275883i −0.0223038 0.0223038i
\(154\) −2.62224 + 2.27699i −0.211306 + 0.183485i
\(155\) 3.09719i 0.248773i
\(156\) 18.5515 + 10.7107i 1.48531 + 0.857546i
\(157\) 0.587549 2.19276i 0.0468916 0.175002i −0.938509 0.345256i \(-0.887792\pi\)
0.985400 + 0.170254i \(0.0544588\pi\)
\(158\) −6.48985 1.73895i −0.516305 0.138343i
\(159\) −14.7731 8.52926i −1.17158 0.676414i
\(160\) −8.73978 −0.690940
\(161\) 0.286186 0.423795i 0.0225546 0.0333997i
\(162\) 4.57075i 0.359112i
\(163\) −11.5117 + 19.9388i −0.901664 + 1.56173i −0.0763301 + 0.997083i \(0.524320\pi\)
−0.825334 + 0.564645i \(0.809013\pi\)
\(164\) 6.81301 9.22905i 0.532007 0.720667i
\(165\) 6.28278 + 10.8821i 0.489114 + 0.847169i
\(166\) −5.12100 2.95661i −0.397466 0.229477i
\(167\) 14.4584 + 14.4584i 1.11882 + 1.11882i 0.991915 + 0.126908i \(0.0405051\pi\)
0.126908 + 0.991915i \(0.459495\pi\)
\(168\) −10.2585 3.53848i −0.791462 0.273000i
\(169\) 12.4705i 0.959268i
\(170\) 0.0325489 + 0.121474i 0.00249639 + 0.00931665i
\(171\) 1.51240 5.64436i 0.115656 0.431635i
\(172\) −7.92358 + 4.57468i −0.604167 + 0.348816i
\(173\) −14.3841 8.30464i −1.09360 0.631390i −0.159067 0.987268i \(-0.550849\pi\)
−0.934532 + 0.355878i \(0.884182\pi\)
\(174\) 4.57867 0.347108
\(175\) −1.84967 3.79759i −0.139822 0.287071i
\(176\) −5.67691 5.67691i −0.427913 0.427913i
\(177\) 11.2359 3.01065i 0.844541 0.226294i
\(178\) 5.05004 + 1.35315i 0.378516 + 0.101423i
\(179\) −9.49953 2.54539i −0.710028 0.190252i −0.114310 0.993445i \(-0.536466\pi\)
−0.595718 + 0.803194i \(0.703132\pi\)
\(180\) −4.31852 + 7.47990i −0.321884 + 0.557519i
\(181\) −10.1250 + 10.1250i −0.752582 + 0.752582i −0.974960 0.222378i \(-0.928618\pi\)
0.222378 + 0.974960i \(0.428618\pi\)
\(182\) −1.16007 5.98528i −0.0859903 0.443658i
\(183\) 17.2320 17.2320i 1.27383 1.27383i
\(184\) −0.289774 0.167301i −0.0213624 0.0123336i
\(185\) −12.2997 + 7.10123i −0.904292 + 0.522093i
\(186\) 1.75423 + 0.470043i 0.128626 + 0.0344653i
\(187\) −0.214606 + 0.371708i −0.0156935 + 0.0271820i
\(188\) 8.84897 8.84897i 0.645378 0.645378i
\(189\) 1.83045 1.58945i 0.133146 0.115616i
\(190\) −1.33185 + 1.33185i −0.0966229 + 0.0966229i
\(191\) 0.493883 + 1.84319i 0.0357361 + 0.133369i 0.981489 0.191517i \(-0.0613407\pi\)
−0.945753 + 0.324886i \(0.894674\pi\)
\(192\) 2.09850 7.83171i 0.151446 0.565205i
\(193\) 3.17693 11.8565i 0.228681 0.853447i −0.752216 0.658917i \(-0.771015\pi\)
0.980896 0.194531i \(-0.0623184\pi\)
\(194\) −4.85446 + 1.30075i −0.348530 + 0.0933882i
\(195\) −22.0590 −1.57968
\(196\) −4.68529 11.6326i −0.334663 0.830899i
\(197\) 25.8146i 1.83921i −0.392843 0.919606i \(-0.628508\pi\)
0.392843 0.919606i \(-0.371492\pi\)
\(198\) 3.31334 0.887807i 0.235469 0.0630937i
\(199\) −3.07638 0.824314i −0.218079 0.0584341i 0.148125 0.988969i \(-0.452676\pi\)
−0.366204 + 0.930535i \(0.619343\pi\)
\(200\) −2.39361 + 1.38195i −0.169254 + 0.0977189i
\(201\) −7.68484 + 13.3105i −0.542047 + 0.938853i
\(202\) 5.45760 + 5.45760i 0.383995 + 0.383995i
\(203\) 7.34225 + 8.45549i 0.515325 + 0.593459i
\(204\) −0.633706 −0.0443683
\(205\) −1.32398 + 11.7383i −0.0924706 + 0.819840i
\(206\) −1.82791 3.16603i −0.127357 0.220588i
\(207\) −0.437425 + 0.252548i −0.0304031 + 0.0175533i
\(208\) 13.6137 3.64777i 0.943937 0.252927i
\(209\) −6.42839 −0.444661
\(210\) 5.18361 1.00469i 0.357703 0.0693304i
\(211\) −19.1540 + 19.1540i −1.31861 + 1.31861i −0.403741 + 0.914873i \(0.632290\pi\)
−0.914873 + 0.403741i \(0.867710\pi\)
\(212\) −12.4595 + 3.33851i −0.855722 + 0.229290i
\(213\) −5.26925 + 3.04220i −0.361043 + 0.208448i
\(214\) 5.26793 3.04144i 0.360108 0.207909i
\(215\) 4.71082 8.15938i 0.321275 0.556465i
\(216\) −1.12163 1.12163i −0.0763172 0.0763172i
\(217\) 1.94500 + 3.99331i 0.132035 + 0.271083i
\(218\) 0.353655 + 0.353655i 0.0239525 + 0.0239525i
\(219\) −4.38007 16.3467i −0.295978 1.10460i
\(220\) 9.17785 + 2.45920i 0.618771 + 0.165799i
\(221\) −0.376743 0.652538i −0.0253425 0.0438944i
\(222\) 2.15543 + 8.04416i 0.144663 + 0.539889i
\(223\) 12.5583 0.840965 0.420483 0.907301i \(-0.361861\pi\)
0.420483 + 0.907301i \(0.361861\pi\)
\(224\) −11.2685 + 5.48848i −0.752906 + 0.366714i
\(225\) 4.17222i 0.278148i
\(226\) −3.30600 1.90872i −0.219912 0.126966i
\(227\) −6.08264 1.62984i −0.403719 0.108176i 0.0512447 0.998686i \(-0.483681\pi\)
−0.454964 + 0.890510i \(0.650348\pi\)
\(228\) −4.74557 8.21958i −0.314283 0.544355i
\(229\) 3.32002 + 12.3905i 0.219393 + 0.818786i 0.984574 + 0.174970i \(0.0559830\pi\)
−0.765181 + 0.643816i \(0.777350\pi\)
\(230\) 0.162807 0.0107352
\(231\) 14.9344 + 10.0851i 0.982611 + 0.663550i
\(232\) 5.18120 5.18120i 0.340163 0.340163i
\(233\) −2.29353 + 0.614550i −0.150254 + 0.0402605i −0.333162 0.942870i \(-0.608116\pi\)
0.182908 + 0.983130i \(0.441449\pi\)
\(234\) −1.55856 + 5.81661i −0.101886 + 0.380244i
\(235\) −3.33534 + 12.4477i −0.217574 + 0.811995i
\(236\) 4.39794 7.61745i 0.286281 0.495854i
\(237\) 34.8637i 2.26464i
\(238\) 0.118251 + 0.136180i 0.00766506 + 0.00882724i
\(239\) 15.4092 + 15.4092i 0.996737 + 0.996737i 0.999995 0.00325787i \(-0.00103701\pi\)
−0.00325787 + 0.999995i \(0.501037\pi\)
\(240\) 3.15919 + 11.7903i 0.203925 + 0.761057i
\(241\) −10.8933 + 6.28923i −0.701697 + 0.405125i −0.807979 0.589211i \(-0.799439\pi\)
0.106282 + 0.994336i \(0.466105\pi\)
\(242\) 0.624442 + 1.08157i 0.0401407 + 0.0695257i
\(243\) −20.2542 + 5.42711i −1.29931 + 0.348149i
\(244\) 18.4275i 1.17970i
\(245\) 10.1677 + 7.96155i 0.649591 + 0.508645i
\(246\) 6.44756 + 2.53135i 0.411081 + 0.161393i
\(247\) 5.64256 9.77320i 0.359028 0.621854i
\(248\) 2.51697 1.45318i 0.159828 0.0922768i
\(249\) −7.94151 + 29.6381i −0.503272 + 1.87824i
\(250\) 2.77825 4.81207i 0.175712 0.304342i
\(251\) 0.219534i 0.0138569i −0.999976 0.00692845i \(-0.997795\pi\)
0.999976 0.00692845i \(-0.00220541\pi\)
\(252\) −0.870712 + 12.3560i −0.0548497 + 0.778358i
\(253\) 0.392907 + 0.392907i 0.0247019 + 0.0247019i
\(254\) −6.00304 3.46586i −0.376664 0.217467i
\(255\) 0.565137 0.326282i 0.0353903 0.0204326i
\(256\) −0.902435 1.56306i −0.0564022 0.0976914i
\(257\) 20.6212 5.52545i 1.28632 0.344668i 0.450057 0.893000i \(-0.351404\pi\)
0.836261 + 0.548332i \(0.184737\pi\)
\(258\) −3.90647 3.90647i −0.243206 0.243206i
\(259\) −11.3989 + 16.8799i −0.708292 + 1.04887i
\(260\) −11.7947 + 11.7947i −0.731475 + 0.731475i
\(261\) −2.86276 10.6840i −0.177201 0.661322i
\(262\) −3.69629 6.40217i −0.228358 0.395527i
\(263\) 7.29504 + 1.95470i 0.449831 + 0.120532i 0.476620 0.879109i \(-0.341862\pi\)
−0.0267892 + 0.999641i \(0.508528\pi\)
\(264\) 5.89565 10.2116i 0.362852 0.628478i
\(265\) 9.39243 9.39243i 0.576972 0.576972i
\(266\) −0.880811 + 2.55359i −0.0540060 + 0.156571i
\(267\) 27.1290i 1.66027i
\(268\) 3.00799 + 11.2260i 0.183742 + 0.685736i
\(269\) 3.52718 + 6.10925i 0.215056 + 0.372488i 0.953290 0.302057i \(-0.0976733\pi\)
−0.738234 + 0.674545i \(0.764340\pi\)
\(270\) 0.745510 + 0.199759i 0.0453703 + 0.0121569i
\(271\) 14.4731 25.0682i 0.879181 1.52279i 0.0269397 0.999637i \(-0.491424\pi\)
0.852241 0.523149i \(-0.175243\pi\)
\(272\) −0.294818 + 0.294818i −0.0178760 + 0.0178760i
\(273\) −28.4413 + 13.8528i −1.72135 + 0.838408i
\(274\) 0.223402 + 0.223402i 0.0134962 + 0.0134962i
\(275\) 4.43346 1.18794i 0.267348 0.0716357i
\(276\) −0.212333 + 0.792438i −0.0127809 + 0.0476991i
\(277\) −13.5516 23.4720i −0.814235 1.41030i −0.909876 0.414881i \(-0.863823\pi\)
0.0956402 0.995416i \(-0.469510\pi\)
\(278\) 0.259009 + 0.149539i 0.0155343 + 0.00896873i
\(279\) 4.38725i 0.262658i
\(280\) 4.72885 7.00267i 0.282603 0.418489i
\(281\) −16.2648 + 16.2648i −0.970280 + 0.970280i −0.999571 0.0292914i \(-0.990675\pi\)
0.0292914 + 0.999571i \(0.490675\pi\)
\(282\) 6.54406 + 3.77822i 0.389693 + 0.224990i
\(283\) −15.7663 27.3081i −0.937210 1.62330i −0.770645 0.637265i \(-0.780066\pi\)
−0.166566 0.986030i \(-0.553268\pi\)
\(284\) −1.19078 + 4.44404i −0.0706595 + 0.263705i
\(285\) 8.46419 + 4.88680i 0.501375 + 0.289469i
\(286\) 6.62458 0.391719
\(287\) 5.66448 + 15.9660i 0.334364 + 0.942444i
\(288\) 12.3801 0.729504
\(289\) −14.7031 8.48885i −0.864890 0.499344i
\(290\) −0.922756 + 3.44377i −0.0541861 + 0.202225i
\(291\) 13.0392 + 22.5845i 0.764369 + 1.32393i
\(292\) −11.0823 6.39839i −0.648545 0.374438i
\(293\) −7.16754 + 7.16754i −0.418732 + 0.418732i −0.884767 0.466034i \(-0.845682\pi\)
0.466034 + 0.884767i \(0.345682\pi\)
\(294\) 6.05245 4.55063i 0.352986 0.265398i
\(295\) 9.05764i 0.527356i
\(296\) 11.5418 + 6.66367i 0.670855 + 0.387318i
\(297\) 1.31707 + 2.28124i 0.0764244 + 0.132371i
\(298\) 1.82244 6.80145i 0.105571 0.393997i
\(299\) −0.942221 + 0.252467i −0.0544900 + 0.0146006i
\(300\) 4.79182 + 4.79182i 0.276656 + 0.276656i
\(301\) 0.949808 13.4785i 0.0547460 0.776887i
\(302\) 0.497168 0.497168i 0.0286088 0.0286088i
\(303\) 20.0248 34.6841i 1.15040 1.99255i
\(304\) −6.03176 1.61620i −0.345945 0.0926957i
\(305\) 9.48796 + 16.4336i 0.543279 + 0.940987i
\(306\) −0.0461063 0.172071i −0.00263572 0.00983665i
\(307\) 5.81678i 0.331981i −0.986127 0.165991i \(-0.946918\pi\)
0.986127 0.165991i \(-0.0530821\pi\)
\(308\) 13.3776 2.59287i 0.762261 0.147742i
\(309\) −13.4138 + 13.4138i −0.763086 + 0.763086i
\(310\) −0.707071 + 1.22468i −0.0401590 + 0.0695574i
\(311\) −22.6067 6.05744i −1.28191 0.343486i −0.447326 0.894371i \(-0.647623\pi\)
−0.834581 + 0.550885i \(0.814290\pi\)
\(312\) 10.3499 + 17.9265i 0.585946 + 1.01489i
\(313\) 3.31059 + 12.3553i 0.187126 + 0.698363i 0.994165 + 0.107866i \(0.0344016\pi\)
−0.807040 + 0.590497i \(0.798932\pi\)
\(314\) 0.732922 0.732922i 0.0413612 0.0413612i
\(315\) −5.58538 11.4674i −0.314700 0.646115i
\(316\) 18.6412 + 18.6412i 1.04865 + 1.04865i
\(317\) 9.36727 2.50995i 0.526118 0.140973i 0.0140230 0.999902i \(-0.495536\pi\)
0.512095 + 0.858929i \(0.328870\pi\)
\(318\) −3.89436 6.74523i −0.218385 0.378254i
\(319\) −10.5379 + 6.08403i −0.590006 + 0.340640i
\(320\) 5.46758 + 3.15671i 0.305647 + 0.176465i
\(321\) −22.3191 22.3191i −1.24573 1.24573i
\(322\) 0.209913 0.102241i 0.0116980 0.00569768i
\(323\) 0.333845i 0.0185756i
\(324\) −8.96718 + 15.5316i −0.498176 + 0.862867i
\(325\) −2.08545 + 7.78300i −0.115680 + 0.431723i
\(326\) −9.10382 + 5.25610i −0.504214 + 0.291108i
\(327\) 1.29762 2.24754i 0.0717585 0.124289i
\(328\) 10.1605 4.43157i 0.561020 0.244692i
\(329\) 3.51663 + 18.1437i 0.193878 + 1.00029i
\(330\) 5.73728i 0.315827i
\(331\) −9.13292 + 2.44716i −0.501991 + 0.134508i −0.500924 0.865491i \(-0.667006\pi\)
−0.00106701 + 0.999999i \(0.500340\pi\)
\(332\) 11.6009 + 20.0934i 0.636683 + 1.10277i
\(333\) 17.4228 10.0591i 0.954764 0.551233i
\(334\) 2.41632 + 9.01785i 0.132215 + 0.493435i
\(335\) −8.46255 8.46255i −0.462359 0.462359i
\(336\) 11.4774 + 13.2176i 0.626142 + 0.721079i
\(337\) 4.82526i 0.262849i −0.991326 0.131424i \(-0.958045\pi\)
0.991326 0.131424i \(-0.0419551\pi\)
\(338\) −2.84694 + 4.93104i −0.154853 + 0.268213i
\(339\) −5.12686 + 19.1337i −0.278453 + 1.03920i
\(340\) 0.127713 0.476632i 0.00692621 0.0258490i
\(341\) −4.66195 + 1.24917i −0.252459 + 0.0676462i
\(342\) 1.88660 1.88660i 0.102016 0.102016i
\(343\) 18.1093 + 3.87987i 0.977810 + 0.209493i
\(344\) −8.84110 −0.476680
\(345\) −0.218652 0.816020i −0.0117718 0.0439330i
\(346\) −3.79180 6.56759i −0.203848 0.353076i
\(347\) −4.58917 1.22966i −0.246360 0.0660119i 0.133526 0.991045i \(-0.457370\pi\)
−0.379886 + 0.925033i \(0.624037\pi\)
\(348\) −15.5585 8.98272i −0.834024 0.481524i
\(349\) 8.64404i 0.462705i −0.972870 0.231353i \(-0.925685\pi\)
0.972870 0.231353i \(-0.0743151\pi\)
\(350\) 0.135574 1.92390i 0.00724676 0.102837i
\(351\) −4.62428 −0.246826
\(352\) −3.52494 13.1553i −0.187880 0.701178i
\(353\) 7.46057 + 12.9221i 0.397086 + 0.687774i 0.993365 0.115004i \(-0.0366880\pi\)
−0.596279 + 0.802777i \(0.703355\pi\)
\(354\) 5.13017 + 1.37463i 0.272666 + 0.0730605i
\(355\) −1.22621 4.57629i −0.0650806 0.242884i
\(356\) −14.5056 14.5056i −0.768793 0.768793i
\(357\) 0.523747 0.775585i 0.0277196 0.0410483i
\(358\) −3.17518 3.17518i −0.167813 0.167813i
\(359\) −16.2208 + 28.0952i −0.856099 + 1.48281i 0.0195233 + 0.999809i \(0.493785\pi\)
−0.875622 + 0.482997i \(0.839548\pi\)
\(360\) −7.22789 + 4.17302i −0.380943 + 0.219938i
\(361\) 12.1243 6.99997i 0.638121 0.368419i
\(362\) −6.31505 + 1.69211i −0.331912 + 0.0889354i
\(363\) 4.58237 4.58237i 0.240512 0.240512i
\(364\) −7.80032 + 22.6142i −0.408848 + 1.18530i
\(365\) 13.1776 0.689748
\(366\) 10.7478 2.87987i 0.561797 0.150533i
\(367\) 24.5934 14.1990i 1.28377 0.741183i 0.306232 0.951957i \(-0.400932\pi\)
0.977535 + 0.210774i \(0.0675984\pi\)
\(368\) 0.269881 + 0.467448i 0.0140685 + 0.0243674i
\(369\) 1.87544 16.6276i 0.0976317 0.865598i
\(370\) −6.48468 −0.337123
\(371\) 6.21161 18.0083i 0.322490 0.934943i
\(372\) −5.03878 5.03878i −0.261249 0.261249i
\(373\) −2.81406 + 4.87410i −0.145707 + 0.252371i −0.929636 0.368478i \(-0.879879\pi\)
0.783930 + 0.620850i \(0.213212\pi\)
\(374\) −0.169718 + 0.0979865i −0.00877588 + 0.00506676i
\(375\) −27.8502 7.46243i −1.43818 0.385358i
\(376\) 11.6807 3.12982i 0.602384 0.161408i
\(377\) 21.3612i 1.10016i
\(378\) 1.08665 0.210616i 0.0558915 0.0108329i
\(379\) −3.30393 −0.169712 −0.0848558 0.996393i \(-0.527043\pi\)
−0.0848558 + 0.996393i \(0.527043\pi\)
\(380\) 7.13862 1.91279i 0.366203 0.0981239i
\(381\) −9.30936 + 34.7430i −0.476933 + 1.77994i
\(382\) −0.225501 + 0.841581i −0.0115376 + 0.0430590i
\(383\) 1.98545 + 7.40982i 0.101452 + 0.378624i 0.997919 0.0644875i \(-0.0205413\pi\)
−0.896467 + 0.443111i \(0.853875\pi\)
\(384\) 18.4909 18.4909i 0.943610 0.943610i
\(385\) −10.5951 + 9.20018i −0.539978 + 0.468885i
\(386\) 3.96298 3.96298i 0.201710 0.201710i
\(387\) −6.67299 + 11.5580i −0.339207 + 0.587524i
\(388\) 19.0476 + 5.10378i 0.966993 + 0.259105i
\(389\) 24.1728 13.9561i 1.22561 0.707605i 0.259500 0.965743i \(-0.416442\pi\)
0.966108 + 0.258138i \(0.0831090\pi\)
\(390\) −8.72250 5.03594i −0.441681 0.255005i
\(391\) 0.0204048 0.0204048i 0.00103191 0.00103191i
\(392\) 1.69946 11.9984i 0.0858356 0.606011i
\(393\) −27.1247 + 27.1247i −1.36826 + 1.36826i
\(394\) 5.89331 10.2075i 0.296901 0.514247i
\(395\) −26.2222 7.02622i −1.31938 0.353527i
\(396\) −13.0006 3.48351i −0.653307 0.175053i
\(397\) 7.41593 1.98709i 0.372195 0.0997293i −0.0678727 0.997694i \(-0.521621\pi\)
0.440068 + 0.897965i \(0.354954\pi\)
\(398\) −1.02827 1.02827i −0.0515424 0.0515424i
\(399\) 13.9820 + 0.985289i 0.699975 + 0.0493262i
\(400\) 4.45858 0.222929
\(401\) 1.90375 + 1.09913i 0.0950690 + 0.0548881i 0.546781 0.837276i \(-0.315853\pi\)
−0.451712 + 0.892164i \(0.649186\pi\)
\(402\) −6.07743 + 3.50881i −0.303115 + 0.175003i
\(403\) 2.19293 8.18411i 0.109237 0.407680i
\(404\) −7.83811 29.2522i −0.389960 1.45535i
\(405\) 18.4681i 0.917686i
\(406\) 0.972911 + 5.01964i 0.0482848 + 0.249120i
\(407\) −15.6496 15.6496i −0.775724 0.775724i
\(408\) −0.530315 0.306177i −0.0262545 0.0151580i
\(409\) −6.54232 11.3316i −0.323497 0.560313i 0.657710 0.753271i \(-0.271525\pi\)
−0.981207 + 0.192958i \(0.938192\pi\)
\(410\) −3.20331 + 4.33928i −0.158200 + 0.214302i
\(411\) 0.819700 1.41976i 0.0404328 0.0700317i
\(412\) 14.3444i 0.706700i
\(413\) 5.68809 + 11.6783i 0.279893 + 0.574651i
\(414\) −0.230620 −0.0113344
\(415\) −20.6913 11.9462i −1.01570 0.586414i
\(416\) 23.0942 + 6.18808i 1.13229 + 0.303396i
\(417\) 0.401664 1.49903i 0.0196696 0.0734078i
\(418\) −2.54190 1.46756i −0.124328 0.0717809i
\(419\) 14.4387i 0.705375i −0.935741 0.352688i \(-0.885268\pi\)
0.935741 0.352688i \(-0.114732\pi\)
\(420\) −19.5852 6.75555i −0.955661 0.329637i
\(421\) −20.9818 20.9818i −1.02259 1.02259i −0.999739 0.0228499i \(-0.992726\pi\)
−0.0228499 0.999739i \(-0.507274\pi\)
\(422\) −11.9466 + 3.20107i −0.581549 + 0.155826i
\(423\) 4.72458 17.6324i 0.229717 0.857316i
\(424\) −12.0397 3.22603i −0.584700 0.156670i
\(425\) −0.0616932 0.230242i −0.00299256 0.0111684i
\(426\) −2.77807 −0.134598
\(427\) 22.5532 + 15.2300i 1.09143 + 0.737034i
\(428\) −23.8676 −1.15368
\(429\) −8.89687 33.2036i −0.429545 1.60308i
\(430\) 3.72548 2.15091i 0.179659 0.103726i
\(431\) 30.7295 17.7417i 1.48019 0.854588i 0.480442 0.877027i \(-0.340476\pi\)
0.999748 + 0.0224388i \(0.00714309\pi\)
\(432\) 0.662269 + 2.47162i 0.0318634 + 0.118916i
\(433\) 37.6036 1.80712 0.903558 0.428467i \(-0.140946\pi\)
0.903558 + 0.428467i \(0.140946\pi\)
\(434\) −0.142562 + 2.02305i −0.00684317 + 0.0971097i
\(435\) 18.5001 0.887011
\(436\) −0.507913 1.89556i −0.0243246 0.0907807i
\(437\) 0.417467 + 0.111860i 0.0199701 + 0.00535098i
\(438\) 1.99989 7.46369i 0.0955585 0.356629i
\(439\) −3.90644 + 1.04673i −0.186444 + 0.0499576i −0.350833 0.936438i \(-0.614102\pi\)
0.164389 + 0.986396i \(0.447435\pi\)
\(440\) 6.49229 + 6.49229i 0.309508 + 0.309508i
\(441\) −14.4028 11.2777i −0.685847 0.537034i
\(442\) 0.344033i 0.0163640i
\(443\) 14.8059 + 8.54818i 0.703449 + 0.406136i 0.808631 0.588317i \(-0.200209\pi\)
−0.105182 + 0.994453i \(0.533543\pi\)
\(444\) 8.45730 31.5631i 0.401366 1.49792i
\(445\) 20.4046 + 5.46741i 0.967273 + 0.259180i
\(446\) 4.96576 + 2.86698i 0.235136 + 0.135756i
\(447\) −36.5376 −1.72817
\(448\) 9.03189 + 0.636464i 0.426717 + 0.0300701i
\(449\) 8.40320i 0.396572i −0.980144 0.198286i \(-0.936463\pi\)
0.980144 0.198286i \(-0.0635374\pi\)
\(450\) −0.952494 + 1.64977i −0.0449010 + 0.0777708i
\(451\) −18.2027 + 2.74145i −0.857133 + 0.129090i
\(452\) 7.48929 + 12.9718i 0.352267 + 0.610144i
\(453\) −3.15960 1.82420i −0.148451 0.0857082i
\(454\) −2.03310 2.03310i −0.0954180 0.0954180i
\(455\) −4.68727 24.1835i −0.219742 1.13374i
\(456\) 9.17137i 0.429489i
\(457\) −9.90528 36.9670i −0.463349 1.72924i −0.662305 0.749234i \(-0.730422\pi\)
0.198956 0.980008i \(-0.436245\pi\)
\(458\) −1.51588 + 5.65735i −0.0708325 + 0.264351i
\(459\) 0.118471 0.0683994i 0.00552976 0.00319261i
\(460\) −0.553227 0.319406i −0.0257944 0.0148924i
\(461\) 23.4607 1.09267 0.546336 0.837566i \(-0.316022\pi\)
0.546336 + 0.837566i \(0.316022\pi\)
\(462\) 3.60295 + 7.39725i 0.167624 + 0.344151i
\(463\) 28.6614 + 28.6614i 1.33201 + 1.33201i 0.903573 + 0.428434i \(0.140934\pi\)
0.428434 + 0.903573i \(0.359066\pi\)
\(464\) −11.4173 + 3.05925i −0.530034 + 0.142022i
\(465\) 7.08794 + 1.89921i 0.328695 + 0.0880736i
\(466\) −1.04720 0.280596i −0.0485106 0.0129984i
\(467\) −11.6308 + 20.1452i −0.538210 + 0.932208i 0.460790 + 0.887509i \(0.347566\pi\)
−0.999001 + 0.0446986i \(0.985767\pi\)
\(468\) 16.7074 16.7074i 0.772301 0.772301i
\(469\) −16.2254 5.59664i −0.749220 0.258429i
\(470\) −4.16058 + 4.16058i −0.191913 + 0.191913i
\(471\) −4.65786 2.68922i −0.214623 0.123913i
\(472\) 7.36081 4.24976i 0.338809 0.195611i
\(473\) 14.1816 + 3.79996i 0.652072 + 0.174722i
\(474\) −7.95918 + 13.7857i −0.365577 + 0.633199i
\(475\) 2.52439 2.52439i 0.115827 0.115827i
\(476\) −0.134655 0.694738i −0.00617189 0.0318433i
\(477\) −13.3046 + 13.3046i −0.609175 + 0.609175i
\(478\) 2.57523 + 9.61088i 0.117788 + 0.439591i
\(479\) 3.27050 12.2057i 0.149433 0.557692i −0.850085 0.526646i \(-0.823449\pi\)
0.999518 0.0310463i \(-0.00988392\pi\)
\(480\) −5.35925 + 20.0010i −0.244615 + 0.912917i
\(481\) 37.5290 10.0559i 1.71117 0.458508i
\(482\) −5.74318 −0.261595
\(483\) −0.794366 0.914808i −0.0361449 0.0416252i
\(484\) 4.90028i 0.222740i
\(485\) −19.6144 + 5.25566i −0.890644 + 0.238647i
\(486\) −9.24785 2.47795i −0.419491 0.112402i
\(487\) 8.54410 4.93294i 0.387170 0.223533i −0.293763 0.955878i \(-0.594908\pi\)
0.680933 + 0.732345i \(0.261574\pi\)
\(488\) 8.90333 15.4210i 0.403035 0.698077i
\(489\) 38.5710 + 38.5710i 1.74424 + 1.74424i
\(490\) 2.20291 + 5.46936i 0.0995173 + 0.247081i
\(491\) −12.5864 −0.568016 −0.284008 0.958822i \(-0.591664\pi\)
−0.284008 + 0.958822i \(0.591664\pi\)
\(492\) −16.9429 21.2509i −0.763847 0.958063i
\(493\) 0.315961 + 0.547260i 0.0142302 + 0.0246474i
\(494\) 4.46233 2.57633i 0.200770 0.115914i
\(495\) 13.3875 3.58718i 0.601725 0.161232i
\(496\) −4.68837 −0.210514
\(497\) −4.45485 5.13030i −0.199827 0.230125i
\(498\) −9.90641 + 9.90641i −0.443917 + 0.443917i
\(499\) −6.78124 + 1.81703i −0.303570 + 0.0813413i −0.407389 0.913255i \(-0.633561\pi\)
0.103819 + 0.994596i \(0.466894\pi\)
\(500\) −18.8812 + 10.9011i −0.844395 + 0.487512i
\(501\) 41.9539 24.2221i 1.87436 1.08216i
\(502\) 0.0501184 0.0868077i 0.00223689 0.00387442i
\(503\) 19.6182 + 19.6182i 0.874734 + 0.874734i 0.992984 0.118250i \(-0.0377283\pi\)
−0.118250 + 0.992984i \(0.537728\pi\)
\(504\) −6.69853 + 9.91944i −0.298376 + 0.441847i
\(505\) 22.0514 + 22.0514i 0.981274 + 0.981274i
\(506\) 0.0656638 + 0.245061i 0.00291911 + 0.0108943i
\(507\) 28.5387 + 7.64693i 1.26745 + 0.339612i
\(508\) 13.5991 + 23.5543i 0.603361 + 1.04505i
\(509\) −6.46799 24.1389i −0.286689 1.06994i −0.947597 0.319469i \(-0.896495\pi\)
0.660908 0.750467i \(-0.270171\pi\)
\(510\) 0.297953 0.0131936
\(511\) 16.9903 8.27539i 0.751606 0.366082i
\(512\) 22.8988i 1.01199i
\(513\) 1.77437 + 1.02443i 0.0783403 + 0.0452298i
\(514\) 9.41542 + 2.52285i 0.415296 + 0.111278i
\(515\) −7.38566 12.7923i −0.325451 0.563698i
\(516\) 5.61041 + 20.9383i 0.246985 + 0.921759i
\(517\) −20.0816 −0.883190
\(518\) −8.36089 + 4.07230i −0.367357 + 0.178927i
\(519\) −27.8255 + 27.8255i −1.22140 + 1.22140i
\(520\) −15.5690 + 4.17170i −0.682745 + 0.182941i
\(521\) −2.80778 + 10.4788i −0.123011 + 0.459084i −0.999761 0.0218627i \(-0.993040\pi\)
0.876750 + 0.480947i \(0.159707\pi\)
\(522\) 1.30710 4.87818i 0.0572104 0.213512i
\(523\) 18.9650 32.8483i 0.829281 1.43636i −0.0693216 0.997594i \(-0.522083\pi\)
0.898603 0.438763i \(-0.144583\pi\)
\(524\) 29.0065i 1.26715i
\(525\) −9.82501 + 1.90429i −0.428799 + 0.0831102i
\(526\) 2.43834 + 2.43834i 0.106316 + 0.106316i
\(527\) 0.0648727 + 0.242108i 0.00282590 + 0.0105464i
\(528\) −16.4727 + 9.51053i −0.716883 + 0.413893i
\(529\) 11.4813 + 19.8862i 0.499188 + 0.864619i
\(530\) 5.85816 1.56969i 0.254462 0.0681830i
\(531\) 12.8304i 0.556790i
\(532\) 8.00283 6.94918i 0.346967 0.301285i
\(533\) 11.8097 30.0802i 0.511534 1.30292i
\(534\) 6.19339 10.7273i 0.268014 0.464214i
\(535\) 21.2850 12.2889i 0.920232 0.531296i
\(536\) −2.90665 + 10.8478i −0.125548 + 0.468552i
\(537\) −11.6503 + 20.1789i −0.502746 + 0.870782i
\(538\) 3.22094i 0.138864i
\(539\) −7.88301 + 18.5157i −0.339545 + 0.797527i
\(540\) −2.14138 2.14138i −0.0921502 0.0921502i
\(541\) 30.8435 + 17.8075i 1.32607 + 0.765604i 0.984689 0.174322i \(-0.0557734\pi\)
0.341377 + 0.939926i \(0.389107\pi\)
\(542\) 11.4459 6.60827i 0.491642 0.283849i
\(543\) 16.9623 + 29.3796i 0.727924 + 1.26080i
\(544\) −0.683190 + 0.183060i −0.0292915 + 0.00784864i
\(545\) 1.42894 + 1.42894i 0.0612090 + 0.0612090i
\(546\) −14.4087 1.01536i −0.616635 0.0434533i
\(547\) −15.0803 + 15.0803i −0.644786 + 0.644786i −0.951728 0.306942i \(-0.900694\pi\)
0.306942 + 0.951728i \(0.400694\pi\)
\(548\) −0.320846 1.19741i −0.0137059 0.0511510i
\(549\) −13.4399 23.2786i −0.573602 0.993507i
\(550\) 2.02427 + 0.542401i 0.0863151 + 0.0231280i
\(551\) −4.73221 + 8.19644i −0.201599 + 0.349180i
\(552\) −0.560560 + 0.560560i −0.0238590 + 0.0238590i
\(553\) −38.2214 + 7.40812i −1.62534 + 0.315025i
\(554\) 12.3750i 0.525763i
\(555\) 8.70899 + 32.5024i 0.369676 + 1.37965i
\(556\) −0.586749 1.01628i −0.0248837 0.0430998i
\(557\) 6.22059 + 1.66680i 0.263575 + 0.0706246i 0.388186 0.921581i \(-0.373102\pi\)
−0.124611 + 0.992206i \(0.539768\pi\)
\(558\) 1.00158 1.73479i 0.0424004 0.0734396i
\(559\) −18.2251 + 18.2251i −0.770842 + 0.770842i
\(560\) −12.2545 + 5.96874i −0.517846 + 0.252225i
\(561\) 0.719058 + 0.719058i 0.0303587 + 0.0303587i
\(562\) −10.1446 + 2.71823i −0.427923 + 0.114662i
\(563\) −5.97009 + 22.2807i −0.251609 + 0.939019i 0.718336 + 0.695696i \(0.244904\pi\)
−0.969945 + 0.243323i \(0.921763\pi\)
\(564\) −14.8247 25.6771i −0.624232 1.08120i
\(565\) −13.3579 7.71217i −0.561970 0.324453i
\(566\) 14.3974i 0.605169i
\(567\) −11.5977 23.8114i −0.487059 0.999986i
\(568\) −3.14365 + 3.14365i −0.131905 + 0.131905i
\(569\) 24.6193 + 14.2140i 1.03210 + 0.595881i 0.917585 0.397540i \(-0.130136\pi\)
0.114512 + 0.993422i \(0.463470\pi\)
\(570\) 2.23126 + 3.86465i 0.0934570 + 0.161872i
\(571\) 3.32434 12.4066i 0.139119 0.519200i −0.860828 0.508897i \(-0.830054\pi\)
0.999947 0.0103037i \(-0.00327982\pi\)
\(572\) −22.5106 12.9965i −0.941216 0.543411i
\(573\) 4.52101 0.188868
\(574\) −1.40511 + 7.60640i −0.0586483 + 0.317485i
\(575\) −0.308585 −0.0128689
\(576\) −7.74495 4.47155i −0.322706 0.186315i
\(577\) 4.40615 16.4440i 0.183430 0.684571i −0.811531 0.584310i \(-0.801365\pi\)
0.994961 0.100262i \(-0.0319680\pi\)
\(578\) −3.87591 6.71328i −0.161217 0.279235i
\(579\) −25.1855 14.5408i −1.04667 0.604296i
\(580\) 9.89178 9.89178i 0.410734 0.410734i
\(581\) −34.1800 2.40861i −1.41803 0.0999262i
\(582\) 11.9071i 0.493563i
\(583\) 17.9258 + 10.3495i 0.742412 + 0.428632i
\(584\) −6.18282 10.7090i −0.255847 0.443140i
\(585\) −6.29733 + 23.5020i −0.260363 + 0.971687i
\(586\) −4.47048 + 1.19786i −0.184674 + 0.0494832i
\(587\) 17.2530 + 17.2530i 0.712109 + 0.712109i 0.966976 0.254867i \(-0.0820317\pi\)
−0.254867 + 0.966976i \(0.582032\pi\)
\(588\) −29.4942 + 3.58916i −1.21632 + 0.148015i
\(589\) −2.65450 + 2.65450i −0.109377 + 0.109377i
\(590\) −2.06781 + 3.58154i −0.0851302 + 0.147450i
\(591\) −59.0767 15.8295i −2.43009 0.651141i
\(592\) −10.7495 18.6186i −0.441800 0.765221i
\(593\) 9.68146 + 36.1317i 0.397570 + 1.48375i 0.817359 + 0.576129i \(0.195437\pi\)
−0.419789 + 0.907622i \(0.637896\pi\)
\(594\) 1.20272i 0.0493483i
\(595\) 0.477791 + 0.550235i 0.0195875 + 0.0225574i
\(596\) −19.5363 + 19.5363i −0.800236 + 0.800236i
\(597\) −3.77289 + 6.53483i −0.154414 + 0.267453i
\(598\) −0.430207 0.115274i −0.0175925 0.00471389i
\(599\) 8.82882 + 15.2920i 0.360736 + 0.624813i 0.988082 0.153928i \(-0.0491923\pi\)
−0.627346 + 0.778740i \(0.715859\pi\)
\(600\) 1.69483 + 6.32521i 0.0691913 + 0.258226i
\(601\) −5.35305 + 5.35305i −0.218355 + 0.218355i −0.807805 0.589450i \(-0.799345\pi\)
0.589450 + 0.807805i \(0.299345\pi\)
\(602\) 3.45263 5.11278i 0.140719 0.208382i
\(603\) 11.9874 + 11.9874i 0.488165 + 0.488165i
\(604\) −2.66478 + 0.714025i −0.108428 + 0.0290533i
\(605\) 2.52305 + 4.37006i 0.102577 + 0.177668i
\(606\) 15.8363 9.14311i 0.643307 0.371414i
\(607\) −28.8096 16.6332i −1.16935 0.675122i −0.215820 0.976433i \(-0.569242\pi\)
−0.953526 + 0.301311i \(0.902576\pi\)
\(608\) −7.49056 7.49056i −0.303782 0.303782i
\(609\) 23.8527 11.6178i 0.966560 0.470778i
\(610\) 8.66418i 0.350803i
\(611\) 17.6268 30.5305i 0.713103 1.23513i
\(612\) −0.180908 + 0.675160i −0.00731279 + 0.0272917i
\(613\) −14.9848 + 8.65149i −0.605231 + 0.349430i −0.771097 0.636718i \(-0.780292\pi\)
0.165866 + 0.986148i \(0.446958\pi\)
\(614\) 1.32794 2.30005i 0.0535912 0.0928226i
\(615\) 26.0513 + 10.2279i 1.05049 + 0.412428i
\(616\) 12.4478 + 4.29362i 0.501536 + 0.172995i
\(617\) 39.0937i 1.57385i 0.617046 + 0.786927i \(0.288329\pi\)
−0.617046 + 0.786927i \(0.711671\pi\)
\(618\) −8.36635 + 2.24176i −0.336544 + 0.0901767i
\(619\) −3.58007 6.20087i −0.143895 0.249234i 0.785065 0.619413i \(-0.212630\pi\)
−0.928960 + 0.370180i \(0.879296\pi\)
\(620\) 4.80532 2.77435i 0.192986 0.111421i
\(621\) −0.0458366 0.171064i −0.00183936 0.00686458i
\(622\) −7.55618 7.55618i −0.302975 0.302975i
\(623\) 29.7418 5.76458i 1.19158 0.230953i
\(624\) 33.3917i 1.33674i
\(625\) 7.23411 12.5298i 0.289364 0.501194i
\(626\) −1.51158 + 5.64128i −0.0604148 + 0.225471i
\(627\) −3.94191 + 14.7114i −0.157425 + 0.587517i
\(628\) −3.92840 + 1.05261i −0.156760 + 0.0420037i
\(629\) −0.812730 + 0.812730i −0.0324057 + 0.0324057i
\(630\) 0.409388 5.80952i 0.0163104 0.231457i
\(631\) 30.5920 1.21785 0.608925 0.793228i \(-0.291601\pi\)
0.608925 + 0.793228i \(0.291601\pi\)
\(632\) 6.59328 + 24.6064i 0.262266 + 0.978792i
\(633\) 32.0887 + 55.5792i 1.27541 + 2.20907i
\(634\) 4.27698 + 1.14601i 0.169861 + 0.0455140i
\(635\) −24.2552 14.0038i −0.962540 0.555723i
\(636\) 30.5608i 1.21181i
\(637\) −21.2304 28.2369i −0.841178 1.11879i
\(638\) −5.55579 −0.219956
\(639\) 1.73696 + 6.48242i 0.0687130 + 0.256440i
\(640\) 10.1811 + 17.6342i 0.402443 + 0.697052i
\(641\) −9.63037 2.58045i −0.380377 0.101922i 0.0635641 0.997978i \(-0.479753\pi\)
−0.443941 + 0.896056i \(0.646420\pi\)
\(642\) −3.73004 13.9207i −0.147213 0.549406i
\(643\) −12.7234 12.7234i −0.501763 0.501763i 0.410222 0.911985i \(-0.365451\pi\)
−0.911985 + 0.410222i \(0.865451\pi\)
\(644\) −0.913876 0.0643994i −0.0360117 0.00253769i
\(645\) −15.7841 15.7841i −0.621498 0.621498i
\(646\) −0.0762148 + 0.132008i −0.00299863 + 0.00519378i
\(647\) −4.08663 + 2.35942i −0.160662 + 0.0927582i −0.578175 0.815913i \(-0.696235\pi\)
0.417513 + 0.908671i \(0.362902\pi\)
\(648\) −15.0083 + 8.66505i −0.589582 + 0.340395i
\(649\) −13.6337 + 3.65314i −0.535170 + 0.143398i
\(650\) −2.60143 + 2.60143i −0.102037 + 0.102037i
\(651\) 10.3314 2.00244i 0.404918 0.0784817i
\(652\) 41.2470 1.61536
\(653\) 25.1577 6.74098i 0.984496 0.263795i 0.269559 0.962984i \(-0.413122\pi\)
0.714937 + 0.699189i \(0.246455\pi\)
\(654\) 1.02620 0.592478i 0.0401277 0.0231677i
\(655\) −14.9348 25.8679i −0.583553 1.01074i
\(656\) −17.7688 2.00417i −0.693757 0.0782496i
\(657\) −18.6664 −0.728245
\(658\) −2.75156 + 7.97715i −0.107267 + 0.310982i
\(659\) 10.6010 + 10.6010i 0.412957 + 0.412957i 0.882767 0.469811i \(-0.155678\pi\)
−0.469811 + 0.882767i \(0.655678\pi\)
\(660\) 11.2558 19.4956i 0.438130 0.758864i
\(661\) −7.21717 + 4.16684i −0.280716 + 0.162071i −0.633747 0.773540i \(-0.718484\pi\)
0.353032 + 0.935611i \(0.385151\pi\)
\(662\) −4.16999 1.11734i −0.162071 0.0434268i
\(663\) −1.72435 + 0.462039i −0.0669684 + 0.0179441i
\(664\) 22.4201i 0.870069i
\(665\) −3.55891 + 10.3178i −0.138009 + 0.400106i
\(666\) 9.18570 0.355939
\(667\) 0.790207 0.211735i 0.0305969 0.00819842i
\(668\) 9.48099 35.3836i 0.366831 1.36903i
\(669\) 7.70077 28.7397i 0.297729 1.11114i
\(670\) −1.41429 5.27819i −0.0546387 0.203914i
\(671\) −20.9095 + 20.9095i −0.807202 + 0.807202i
\(672\) 5.65055 + 29.1534i 0.217975 + 1.12462i
\(673\) 9.18539 9.18539i 0.354071 0.354071i −0.507551 0.861622i \(-0.669449\pi\)
0.861622 + 0.507551i \(0.169449\pi\)
\(674\) 1.10158 1.90799i 0.0424313 0.0734931i
\(675\) −1.41304 0.378622i −0.0543879 0.0145732i
\(676\) 19.3480 11.1706i 0.744156 0.429638i
\(677\) −13.1114 7.56984i −0.503910 0.290933i 0.226417 0.974031i \(-0.427299\pi\)
−0.730327 + 0.683098i \(0.760632\pi\)
\(678\) −6.39536 + 6.39536i −0.245612 + 0.245612i
\(679\) −21.9889 + 19.0939i −0.843858 + 0.732756i
\(680\) 0.337163 0.337163i 0.0129296 0.0129296i
\(681\) −7.45978 + 12.9207i −0.285859 + 0.495123i
\(682\) −2.12859 0.570355i −0.0815080 0.0218400i
\(683\) −2.12675 0.569861i −0.0813778 0.0218051i 0.217900 0.975971i \(-0.430079\pi\)
−0.299278 + 0.954166i \(0.596746\pi\)
\(684\) −10.1120 + 2.70951i −0.386643 + 0.103601i
\(685\) 0.902654 + 0.902654i 0.0344886 + 0.0344886i
\(686\) 6.27497 + 5.66841i 0.239580 + 0.216421i
\(687\) 30.3915 1.15951
\(688\) 12.3512 + 7.13099i 0.470887 + 0.271866i
\(689\) −31.4690 + 18.1686i −1.19887 + 0.692170i
\(690\) 0.0998339 0.372585i 0.00380061 0.0141841i
\(691\) 3.08736 + 11.5222i 0.117449 + 0.438324i 0.999458 0.0329067i \(-0.0104764\pi\)
−0.882010 + 0.471231i \(0.843810\pi\)
\(692\) 29.7560i 1.13115i
\(693\) 15.0082 13.0323i 0.570116 0.495055i
\(694\) −1.53391 1.53391i −0.0582265 0.0582265i
\(695\) 1.04652 + 0.604210i 0.0396969 + 0.0229190i
\(696\) −8.68007 15.0343i −0.329017 0.569874i
\(697\) 0.142371 + 0.945318i 0.00539269 + 0.0358065i
\(698\) 1.97338 3.41800i 0.0746937 0.129373i
\(699\) 5.62560i 0.212780i
\(700\) −4.23512 + 6.27153i −0.160072 + 0.237041i
\(701\) −45.6125 −1.72276 −0.861381 0.507959i \(-0.830400\pi\)
−0.861381 + 0.507959i \(0.830400\pi\)
\(702\) −1.82852 1.05570i −0.0690130 0.0398447i
\(703\) −16.6279 4.45542i −0.627131 0.168039i
\(704\) −2.54634 + 9.50307i −0.0959688 + 0.358160i
\(705\) 26.4412 + 15.2659i 0.995835 + 0.574946i
\(706\) 6.81282i 0.256404i
\(707\) 42.2795 + 14.5835i 1.59008 + 0.548469i
\(708\) −14.7357 14.7357i −0.553803 0.553803i
\(709\) 46.2257 12.3861i 1.73604 0.465171i 0.754482 0.656321i \(-0.227888\pi\)
0.981561 + 0.191149i \(0.0612215\pi\)
\(710\) 0.559874 2.08948i 0.0210117 0.0784168i
\(711\) 37.1443 + 9.95280i 1.39302 + 0.373259i
\(712\) −5.13052 19.1473i −0.192274 0.717577i
\(713\) 0.324489 0.0121522
\(714\) 0.384160 0.187111i 0.0143768 0.00700246i
\(715\) 26.7666 1.00101
\(716\) 4.56014 + 17.0187i 0.170420 + 0.636018i
\(717\) 44.7129 25.8150i 1.66983 0.964079i
\(718\) −12.8279 + 7.40621i −0.478734 + 0.276397i
\(719\) −3.71737 13.8734i −0.138634 0.517391i −0.999956 0.00933123i \(-0.997030\pi\)
0.861322 0.508059i \(-0.169637\pi\)
\(720\) 13.4634 0.501751
\(721\) −17.5560 11.8554i −0.653819 0.441520i
\(722\) 6.39221 0.237893
\(723\) 7.71315 + 28.7858i 0.286855 + 1.07056i
\(724\) 24.7785 + 6.63938i 0.920886 + 0.246751i
\(725\) 1.74899 6.52732i 0.0649559 0.242419i
\(726\) 2.85808 0.765819i 0.106073 0.0284222i
\(727\) 4.91631 + 4.91631i 0.182336 + 0.182336i 0.792373 0.610037i \(-0.208845\pi\)
−0.610037 + 0.792373i \(0.708845\pi\)
\(728\) −17.4538 + 15.1558i −0.646881 + 0.561713i
\(729\) 19.6478i 0.727698i
\(730\) 5.21065 + 3.00837i 0.192855 + 0.111345i
\(731\) 0.197342 0.736492i 0.00729897 0.0272401i
\(732\) −42.1714 11.2998i −1.55870 0.417653i
\(733\) 4.00669 + 2.31327i 0.147991 + 0.0854424i 0.572167 0.820137i \(-0.306103\pi\)
−0.424176 + 0.905580i \(0.639436\pi\)
\(734\) 12.9662 0.478592
\(735\) 24.4549 18.3868i 0.902033 0.678207i
\(736\) 0.915654i 0.0337515i
\(737\) 9.32485 16.1511i 0.343485 0.594934i
\(738\) 4.53757 6.14669i 0.167030 0.226263i
\(739\) 3.22193 + 5.58055i 0.118521 + 0.205284i 0.919182 0.393834i \(-0.128851\pi\)
−0.800661 + 0.599118i \(0.795518\pi\)
\(740\) 22.0352 + 12.7221i 0.810032 + 0.467672i
\(741\) −18.9060 18.9060i −0.694528 0.694528i
\(742\) 6.56736 5.70271i 0.241095 0.209353i
\(743\) 11.5678i 0.424381i −0.977228 0.212190i \(-0.931940\pi\)
0.977228 0.212190i \(-0.0680597\pi\)
\(744\) −1.78218 6.65119i −0.0653380 0.243845i
\(745\) 7.36357 27.4812i 0.269780 1.00683i
\(746\) −2.22546 + 1.28487i −0.0814798 + 0.0470424i
\(747\) 29.3098 + 16.9220i 1.07239 + 0.619144i
\(748\) 0.768944 0.0281154
\(749\) 19.7261 29.2112i 0.720777 1.06736i
\(750\) −9.30881 9.30881i −0.339910 0.339910i
\(751\) −40.9117 + 10.9623i −1.49289 + 0.400019i −0.910712 0.413043i \(-0.864466\pi\)
−0.582178 + 0.813061i \(0.697799\pi\)
\(752\) −18.8426 5.04886i −0.687119 0.184113i
\(753\) −0.502405 0.134619i −0.0183087 0.00490579i
\(754\) 4.87663 8.44657i 0.177596 0.307606i
\(755\) 2.00881 2.00881i 0.0731079 0.0731079i
\(756\) −4.10570 1.41618i −0.149323 0.0515060i
\(757\) 25.5777 25.5777i 0.929638 0.929638i −0.0680439 0.997682i \(-0.521676\pi\)
0.997682 + 0.0680439i \(0.0216758\pi\)
\(758\) −1.30643 0.754269i −0.0474517 0.0273963i
\(759\) 1.14010 0.658238i 0.0413830 0.0238925i
\(760\) 6.89810 + 1.84834i 0.250220 + 0.0670464i
\(761\) −0.775271 + 1.34281i −0.0281036 + 0.0486768i −0.879735 0.475464i \(-0.842280\pi\)
0.851632 + 0.524141i \(0.175613\pi\)
\(762\) −11.6127 + 11.6127i −0.420684 + 0.420684i
\(763\) 2.73973 + 0.945017i 0.0991849 + 0.0342119i
\(764\) 2.41733 2.41733i 0.0874559 0.0874559i
\(765\) −0.186292 0.695252i −0.00673541 0.0251369i
\(766\) −0.906535 + 3.38324i −0.0327545 + 0.122241i
\(767\) 6.41314 23.9342i 0.231565 0.864212i
\(768\) −4.13045 + 1.10675i −0.149045 + 0.0399364i
\(769\) −51.3308 −1.85104 −0.925518 0.378704i \(-0.876370\pi\)
−0.925518 + 0.378704i \(0.876370\pi\)
\(770\) −6.28984 + 1.21910i −0.226670 + 0.0439334i
\(771\) 50.5800i 1.82159i
\(772\) −21.2412 + 5.69156i −0.764487 + 0.204844i
\(773\) −5.58977 1.49777i −0.201050 0.0538712i 0.156889 0.987616i \(-0.449854\pi\)
−0.357939 + 0.933745i \(0.616520\pi\)
\(774\) −5.27723 + 3.04681i −0.189686 + 0.109515i
\(775\) 1.34018 2.32126i 0.0481408 0.0833823i
\(776\) 13.4740 + 13.4740i 0.483688 + 0.483688i
\(777\) 31.6399 + 36.4372i 1.13507 + 1.30718i
\(778\) 12.7444 0.456910
\(779\) −11.1952 + 8.92577i −0.401111 + 0.319799i
\(780\) 19.7596 + 34.2247i 0.707508 + 1.22544i
\(781\) 6.39375 3.69143i 0.228786 0.132090i
\(782\) 0.0127267 0.00341011i 0.000455105 0.000121945i
\(783\) 3.87822 0.138596
\(784\) −12.0518 + 15.3913i −0.430421 + 0.549691i
\(785\) 2.96137 2.96137i 0.105696 0.105696i
\(786\) −16.9179 + 4.53315i −0.603443 + 0.161692i
\(787\) −10.7799 + 6.22377i −0.384261 + 0.221853i −0.679671 0.733517i \(-0.737877\pi\)
0.295409 + 0.955371i \(0.404544\pi\)
\(788\) −40.0515 + 23.1237i −1.42678 + 0.823749i
\(789\) 8.94667 15.4961i 0.318510 0.551675i
\(790\) −8.76466 8.76466i −0.311833 0.311833i
\(791\) −22.0658 1.55495i −0.784571 0.0552876i
\(792\) −9.19648 9.19648i −0.326783 0.326783i
\(793\) −13.4356 50.1425i −0.477114 1.78061i
\(794\) 3.38603 + 0.907283i 0.120166 + 0.0321983i
\(795\) −15.7351 27.2541i −0.558068 0.966602i
\(796\) 1.47678 + 5.51142i 0.0523431 + 0.195347i
\(797\) 18.2828 0.647611 0.323805 0.946124i \(-0.395038\pi\)
0.323805 + 0.946124i \(0.395038\pi\)
\(798\) 5.30378 + 3.58160i 0.187752 + 0.126787i
\(799\) 1.04290i 0.0368950i
\(800\) 6.55023 + 3.78178i 0.231586 + 0.133706i
\(801\) −28.9036 7.74471i −1.02126 0.273646i
\(802\) 0.501851 + 0.869232i 0.0177210 + 0.0306937i
\(803\) 5.31482 + 19.8352i 0.187556 + 0.699968i
\(804\) 27.5352 0.971092
\(805\) 0.848150 0.413105i 0.0298934 0.0145600i
\(806\) 2.73551 2.73551i 0.0963541 0.0963541i
\(807\) 16.1439 4.32575i 0.568293 0.152274i
\(808\) 7.57403 28.2666i 0.266453 0.994417i
\(809\) −1.87005 + 6.97912i −0.0657474 + 0.245373i −0.990976 0.134036i \(-0.957206\pi\)
0.925229 + 0.379409i \(0.123873\pi\)
\(810\) 4.21615 7.30259i 0.148140 0.256587i
\(811\) 20.0162i 0.702864i −0.936213 0.351432i \(-0.885695\pi\)
0.936213 0.351432i \(-0.114305\pi\)
\(812\) 6.54184 18.9657i 0.229574 0.665565i
\(813\) −48.4937 48.4937i −1.70075 1.70075i
\(814\) −2.61541 9.76086i −0.0916702 0.342118i
\(815\) −36.7839 + 21.2372i −1.28849 + 0.743907i
\(816\) 0.493909 + 0.855475i 0.0172903 + 0.0299476i
\(817\) 11.0306 2.95564i 0.385912 0.103405i
\(818\) 5.97429i 0.208886i
\(819\) 6.63962 + 34.2565i 0.232007 + 1.19702i
\(820\) 19.3981 8.46060i 0.677410 0.295457i
\(821\) 13.6527 23.6472i 0.476483 0.825293i −0.523154 0.852238i \(-0.675245\pi\)
0.999637 + 0.0269452i \(0.00857797\pi\)
\(822\) 0.648246 0.374265i 0.0226102 0.0130540i
\(823\) 1.86240 6.95057i 0.0649191 0.242282i −0.925840 0.377916i \(-0.876641\pi\)
0.990759 + 0.135635i \(0.0433074\pi\)
\(824\) −6.93057 + 12.0041i −0.241438 + 0.418183i
\(825\) 10.8744i 0.378599i
\(826\) −0.416916 + 5.91635i −0.0145064 + 0.205856i
\(827\) −13.7669 13.7669i −0.478720 0.478720i 0.426002 0.904722i \(-0.359922\pi\)
−0.904722 + 0.426002i \(0.859922\pi\)
\(828\) 0.783659 + 0.452446i 0.0272340 + 0.0157236i
\(829\) 9.66425 5.57966i 0.335653 0.193790i −0.322695 0.946503i \(-0.604589\pi\)
0.658348 + 0.752714i \(0.271255\pi\)
\(830\) −5.45447 9.44743i −0.189328 0.327925i
\(831\) −62.0256 + 16.6197i −2.15165 + 0.576532i
\(832\) −12.2126 12.2126i −0.423397 0.423397i
\(833\) 0.961572 + 0.409387i 0.0333165 + 0.0141844i
\(834\) 0.501044 0.501044i 0.0173497 0.0173497i
\(835\) 9.76314 + 36.4365i 0.337868 + 1.26094i
\(836\) 5.75832 + 9.97371i 0.199156 + 0.344948i
\(837\) 1.48586 + 0.398136i 0.0513589 + 0.0137616i
\(838\) 3.29626 5.70930i 0.113868 0.197224i
\(839\) 1.01920 1.01920i 0.0351869 0.0351869i −0.689294 0.724481i \(-0.742079\pi\)
0.724481 + 0.689294i \(0.242079\pi\)
\(840\) −13.1259 15.1160i −0.452886 0.521553i
\(841\) 11.0851i 0.382246i
\(842\) −3.50653 13.0866i −0.120843 0.450993i
\(843\) 27.2485 + 47.1958i 0.938488 + 1.62551i
\(844\) 46.8750 + 12.5601i 1.61350 + 0.432337i
\(845\) −11.5030 + 19.9238i −0.395716 + 0.685401i
\(846\) 5.89355 5.89355i 0.202624 0.202624i
\(847\) 5.99740 + 4.05000i 0.206073 + 0.139160i
\(848\) 14.2178 + 14.2178i 0.488240 + 0.488240i
\(849\) −72.1625 + 19.3359i −2.47661 + 0.663606i
\(850\) 0.0281684 0.105126i 0.000966168 0.00360579i
\(851\) 0.743986 + 1.28862i 0.0255035 + 0.0441734i
\(852\) 9.44000 + 5.45019i 0.323409 + 0.186720i
\(853\) 28.7727i 0.985159i −0.870268 0.492579i \(-0.836054\pi\)
0.870268 0.492579i \(-0.163946\pi\)
\(854\) 5.44101 + 11.1710i 0.186187 + 0.382264i
\(855\) 7.62280 7.62280i 0.260694 0.260694i
\(856\) −19.9735 11.5317i −0.682680 0.394146i
\(857\) −11.1053 19.2349i −0.379348 0.657051i 0.611619 0.791152i \(-0.290518\pi\)
−0.990968 + 0.134102i \(0.957185\pi\)
\(858\) 4.06221 15.1604i 0.138681 0.517566i
\(859\) 9.16537 + 5.29163i 0.312718 + 0.180548i 0.648142 0.761519i \(-0.275546\pi\)
−0.335424 + 0.942067i \(0.608880\pi\)
\(860\) −16.8791 −0.575574
\(861\) 40.0117 3.17279i 1.36360 0.108128i
\(862\) 16.2013 0.551819
\(863\) −10.8242 6.24936i −0.368460 0.212731i 0.304325 0.952568i \(-0.401569\pi\)
−0.672785 + 0.739838i \(0.734902\pi\)
\(864\) −1.12347 + 4.19286i −0.0382214 + 0.142644i
\(865\) −15.3207 26.5363i −0.520921 0.902261i
\(866\) 14.8691 + 8.58469i 0.505273 + 0.291720i
\(867\) −28.4428 + 28.4428i −0.965967 + 0.965967i
\(868\) 4.45338 6.59474i 0.151158 0.223840i
\(869\) 42.3039i 1.43506i
\(870\) 7.31524 + 4.22346i 0.248010 + 0.143189i
\(871\) 16.3699 + 28.3535i 0.554673 + 0.960721i
\(872\) 0.490800 1.83169i 0.0166206 0.0620289i
\(873\) 27.7842 7.44477i 0.940354 0.251967i
\(874\) 0.139536 + 0.139536i 0.00471989 + 0.00471989i
\(875\) 2.26331 32.1181i 0.0765140 1.08579i
\(876\) −21.4385 + 21.4385i −0.724338 + 0.724338i
\(877\) −10.3108 + 17.8588i −0.348171 + 0.603049i −0.985925 0.167191i \(-0.946530\pi\)
0.637754 + 0.770240i \(0.279864\pi\)
\(878\) −1.78364 0.477924i −0.0601948 0.0161291i
\(879\) 12.0078 + 20.7981i 0.405013 + 0.701502i
\(880\) −3.83339 14.3064i −0.129223 0.482268i
\(881\) 44.9557i 1.51460i −0.653070 0.757298i \(-0.726519\pi\)
0.653070 0.757298i \(-0.273481\pi\)
\(882\) −3.12047 7.74748i −0.105072 0.260871i
\(883\) −12.2658 + 12.2658i −0.412778 + 0.412778i −0.882705 0.469927i \(-0.844280\pi\)
0.469927 + 0.882705i \(0.344280\pi\)
\(884\) −0.674945 + 1.16904i −0.0227009 + 0.0393190i
\(885\) 20.7284 + 5.55417i 0.696779 + 0.186701i
\(886\) 3.90300 + 6.76019i 0.131124 + 0.227113i
\(887\) 2.53692 + 9.46793i 0.0851816 + 0.317902i 0.995349 0.0963397i \(-0.0307135\pi\)
−0.910167 + 0.414242i \(0.864047\pi\)
\(888\) 22.3273 22.3273i 0.749255 0.749255i
\(889\) −40.0672 2.82348i −1.34381 0.0946964i
\(890\) 6.82016 + 6.82016i 0.228612 + 0.228612i
\(891\) 27.7985 7.44858i 0.931284 0.249537i
\(892\) −11.2493 19.4843i −0.376653 0.652382i
\(893\) −13.5270 + 7.80984i −0.452665 + 0.261346i
\(894\) −14.4476 8.34133i −0.483200 0.278976i
\(895\) −12.8293 12.8293i −0.428836 0.428836i
\(896\) 24.2008 + 16.3427i 0.808494 + 0.545970i
\(897\) 2.31109i 0.0771650i
\(898\) 1.91840 3.32277i 0.0640179 0.110882i
\(899\) −1.83913 + 6.86372i −0.0613384 + 0.228918i
\(900\) 6.47324 3.73732i 0.215775 0.124577i
\(901\) 0.537477 0.930938i 0.0179060 0.0310140i
\(902\) −7.82352 3.07156i −0.260495 0.102272i
\(903\) −30.2631 10.4387i −1.00709 0.347377i
\(904\) 14.4739i 0.481395i
\(905\) −25.5159 + 6.83697i −0.848178 + 0.227269i
\(906\) −0.832906 1.44264i −0.0276715 0.0479284i
\(907\) −39.0864 + 22.5666i −1.29784 + 0.749311i −0.980031 0.198843i \(-0.936282\pi\)
−0.317813 + 0.948153i \(0.602948\pi\)
\(908\) 2.91990 + 10.8972i 0.0969003 + 0.361637i
\(909\) −31.2363 31.2363i −1.03604 1.03604i
\(910\) 3.66752 10.6326i 0.121577 0.352468i
\(911\) 8.45685i 0.280188i 0.990138 + 0.140094i \(0.0447404\pi\)
−0.990138 + 0.140094i \(0.955260\pi\)
\(912\) −7.39738 + 12.8126i −0.244952 + 0.424269i
\(913\) 9.63629 35.9631i 0.318915 1.19021i
\(914\) 4.52263 16.8787i 0.149595 0.558298i
\(915\) 43.4264 11.6361i 1.43563 0.384677i
\(916\) 16.2500 16.2500i 0.536914 0.536914i
\(917\) −35.5007 23.9734i −1.17234 0.791670i
\(918\) 0.0624607 0.00206151
\(919\) 3.09511 + 11.5511i 0.102098 + 0.381036i 0.998000 0.0632169i \(-0.0201360\pi\)
−0.895902 + 0.444253i \(0.853469\pi\)
\(920\) −0.308644 0.534588i −0.0101757 0.0176248i
\(921\) −13.3117 3.56686i −0.438636 0.117532i
\(922\) 9.27675 + 5.35594i 0.305514 + 0.176388i
\(923\) 12.9607i 0.426607i
\(924\) 2.26942 32.2047i 0.0746583 1.05946i
\(925\) 12.2911 0.404127
\(926\) 4.78997 + 17.8764i 0.157408 + 0.587456i
\(927\) 10.4620 + 18.1206i 0.343616 + 0.595160i
\(928\) −19.3683 5.18972i −0.635796 0.170361i
\(929\) 13.9039 + 51.8899i 0.456171 + 1.70245i 0.684622 + 0.728898i \(0.259967\pi\)
−0.228451 + 0.973555i \(0.573366\pi\)
\(930\) 2.36911 + 2.36911i 0.0776863 + 0.0776863i
\(931\) 1.89082 + 15.5380i 0.0619691 + 0.509236i
\(932\) 3.00794 + 3.00794i 0.0985284 + 0.0985284i
\(933\) −27.7249 + 48.0210i −0.907673 + 1.57214i
\(934\) −9.19805 + 5.31050i −0.300970 + 0.173765i
\(935\) −0.685743 + 0.395914i −0.0224262 + 0.0129478i
\(936\) 22.0538 5.90931i 0.720852 0.193152i
\(937\) 13.4747 13.4747i 0.440199 0.440199i −0.451880 0.892079i \(-0.649246\pi\)
0.892079 + 0.451880i \(0.149246\pi\)
\(938\) −5.13812 5.91717i −0.167766 0.193203i
\(939\) 30.3052 0.988972
\(940\) 22.3003 5.97535i 0.727356 0.194894i
\(941\) −36.5153 + 21.0821i −1.19036 + 0.687257i −0.958389 0.285465i \(-0.907852\pi\)
−0.231975 + 0.972722i \(0.574519\pi\)
\(942\) −1.22787 2.12672i −0.0400060 0.0692924i
\(943\) 1.22981 + 0.138711i 0.0400480 + 0.00451706i
\(944\) −13.7110 −0.446254
\(945\) 4.39062 0.850994i 0.142827 0.0276828i
\(946\) 4.74015 + 4.74015i 0.154116 + 0.154116i
\(947\) 20.8208 36.0627i 0.676586 1.17188i −0.299416 0.954123i \(-0.596792\pi\)
0.976003 0.217759i \(-0.0698747\pi\)
\(948\) 54.0913 31.2296i 1.75680 1.01429i
\(949\) −34.8209 9.33023i −1.13033 0.302872i
\(950\) 1.57449 0.421884i 0.0510833 0.0136877i
\(951\) 22.9761i 0.745052i
\(952\) 0.222980 0.646448i 0.00722682 0.0209515i
\(953\) 4.51948 0.146400 0.0732002 0.997317i \(-0.476679\pi\)
0.0732002 + 0.997317i \(0.476679\pi\)
\(954\) −8.29822 + 2.22350i −0.268665 + 0.0719885i
\(955\) −0.911135 + 3.40040i −0.0294836 + 0.110034i
\(956\) 10.1045 37.7104i 0.326802 1.21964i
\(957\) 7.46148 + 27.8466i 0.241196 + 0.900154i
\(958\) 4.07970 4.07970i 0.131809 0.131809i
\(959\) 1.73067 + 0.596963i 0.0558864 + 0.0192769i
\(960\) 10.5769 10.5769i 0.341367 0.341367i
\(961\) 14.0907 24.4059i 0.454540 0.787287i
\(962\) 17.1353 + 4.59139i 0.552464 + 0.148032i
\(963\) −30.1507 + 17.4075i −0.971594 + 0.560950i
\(964\) 19.5156 + 11.2673i 0.628555 + 0.362896i
\(965\) 16.0124 16.0124i 0.515457 0.515457i
\(966\) −0.105260 0.543080i −0.00338669 0.0174733i
\(967\) −32.1329 + 32.1329i −1.03332 + 1.03332i −0.0338981 + 0.999425i \(0.510792\pi\)
−0.999425 + 0.0338981i \(0.989208\pi\)
\(968\) 2.36759 4.10079i 0.0760972 0.131804i
\(969\) 0.764004 + 0.204714i 0.0245433 + 0.00657637i
\(970\) −8.95571 2.39967i −0.287550 0.0770489i
\(971\) 33.6785 9.02413i 1.08079 0.289598i 0.325873 0.945413i \(-0.394342\pi\)
0.754921 + 0.655815i \(0.227675\pi\)
\(972\) 26.5632 + 26.5632i 0.852015 + 0.852015i
\(973\) 1.72875 + 0.121822i 0.0554212 + 0.00390545i
\(974\) 4.50465 0.144338
\(975\) 16.5326 + 9.54511i 0.529467 + 0.305688i
\(976\) −24.8764 + 14.3624i −0.796273 + 0.459728i
\(977\) −14.7727 + 55.1323i −0.472619 + 1.76384i 0.157684 + 0.987490i \(0.449597\pi\)
−0.630303 + 0.776349i \(0.717069\pi\)
\(978\) 6.44610 + 24.0572i 0.206124 + 0.769264i
\(979\) 32.9185i 1.05208i
\(980\) 3.24455 22.9070i 0.103643 0.731736i
\(981\) −2.02413 2.02413i −0.0646253 0.0646253i
\(982\) −4.97687 2.87340i −0.158818 0.0916938i
\(983\) 14.3806 + 24.9080i 0.458670 + 0.794440i 0.998891 0.0470830i \(-0.0149925\pi\)
−0.540221 + 0.841523i \(0.681659\pi\)
\(984\) −3.91122 25.9698i −0.124685 0.827886i
\(985\) 23.8119 41.2434i 0.758710 1.31412i
\(986\) 0.288528i 0.00918860i
\(987\) 43.6783 + 3.07794i 1.39029 + 0.0979720i
\(988\) −20.2176 −0.643208
\(989\) −0.854847 0.493546i −0.0271826 0.0156939i
\(990\) 6.11259 + 1.63786i 0.194271 + 0.0520547i
\(991\) −8.20305 + 30.6142i −0.260579 + 0.972492i 0.704323 + 0.709880i \(0.251251\pi\)
−0.964901 + 0.262612i \(0.915416\pi\)
\(992\) −6.88781 3.97668i −0.218688 0.126260i
\(993\) 22.4013i 0.710884i
\(994\) −0.590306 3.04562i −0.0187234 0.0966013i
\(995\) −4.15471 4.15471i −0.131713 0.131713i
\(996\) 53.0975 14.2274i 1.68246 0.450813i
\(997\) 13.7477 51.3071i 0.435394 1.62491i −0.304728 0.952439i \(-0.598566\pi\)
0.740122 0.672472i \(-0.234768\pi\)
\(998\) −3.09623 0.829633i −0.0980096 0.0262616i
\(999\) 1.82569 + 6.81356i 0.0577622 + 0.215571i
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 287.2.r.c.9.14 96
7.4 even 3 inner 287.2.r.c.214.11 yes 96
41.32 even 4 inner 287.2.r.c.114.11 yes 96
287.32 even 12 inner 287.2.r.c.32.14 yes 96
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
287.2.r.c.9.14 96 1.1 even 1 trivial
287.2.r.c.32.14 yes 96 287.32 even 12 inner
287.2.r.c.114.11 yes 96 41.32 even 4 inner
287.2.r.c.214.11 yes 96 7.4 even 3 inner