Properties

Label 804.2.l.a.431.7
Level $804$
Weight $2$
Character 804.431
Analytic conductor $6.420$
Analytic rank $0$
Dimension $264$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [804,2,Mod(431,804)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(804, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([3, 3, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("804.431");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 804.l (of order \(6\), degree \(2\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(6.41997232251\)
Analytic rank: \(0\)
Dimension: \(264\)
Relative dimension: \(132\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 431.7
Character \(\chi\) \(=\) 804.431
Dual form 804.2.l.a.707.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.39862 + 0.209424i) q^{2} +(1.33282 - 1.10616i) q^{3} +(1.91228 - 0.585811i) q^{4} -2.33442i q^{5} +(-1.63245 + 1.82622i) q^{6} +(1.17857 - 0.680446i) q^{7} +(-2.55188 + 1.21981i) q^{8} +(0.552819 - 2.94863i) q^{9} +O(q^{10})\) \(q+(-1.39862 + 0.209424i) q^{2} +(1.33282 - 1.10616i) q^{3} +(1.91228 - 0.585811i) q^{4} -2.33442i q^{5} +(-1.63245 + 1.82622i) q^{6} +(1.17857 - 0.680446i) q^{7} +(-2.55188 + 1.21981i) q^{8} +(0.552819 - 2.94863i) q^{9} +(0.488885 + 3.26497i) q^{10} +(-0.344105 - 0.596008i) q^{11} +(1.90073 - 2.89607i) q^{12} +(0.219136 - 0.379555i) q^{13} +(-1.50587 + 1.19851i) q^{14} +(-2.58225 - 3.11137i) q^{15} +(3.31365 - 2.24047i) q^{16} +(-2.44668 - 1.41259i) q^{17} +(-0.155671 + 4.23978i) q^{18} +(1.84842 + 1.06719i) q^{19} +(-1.36753 - 4.46408i) q^{20} +(0.818136 - 2.21060i) q^{21} +(0.606091 + 0.761525i) q^{22} +(1.13575 - 1.96717i) q^{23} +(-2.05189 + 4.44857i) q^{24} -0.449530 q^{25} +(-0.227001 + 0.576747i) q^{26} +(-2.52484 - 4.54149i) q^{27} +(1.85514 - 1.99162i) q^{28} +(-1.61255 + 0.931007i) q^{29} +(4.26318 + 3.81084i) q^{30} +(1.86373 - 1.07603i) q^{31} +(-4.16533 + 3.82753i) q^{32} +(-1.11791 - 0.413736i) q^{33} +(3.71782 + 1.46329i) q^{34} +(-1.58845 - 2.75128i) q^{35} +(-0.670189 - 5.96245i) q^{36} +(-1.25851 + 2.17981i) q^{37} +(-2.80873 - 1.10548i) q^{38} +(-0.127780 - 0.748279i) q^{39} +(2.84754 + 5.95716i) q^{40} +(-4.18788 + 2.41787i) q^{41} +(-0.681310 + 3.26313i) q^{42} -6.47219i q^{43} +(-1.00717 - 0.938155i) q^{44} +(-6.88334 - 1.29051i) q^{45} +(-1.17651 + 2.98918i) q^{46} +(0.249422 + 0.432011i) q^{47} +(1.93818 - 6.65157i) q^{48} +(-2.57399 + 4.45827i) q^{49} +(0.628723 - 0.0941426i) q^{50} +(-4.82355 + 0.823691i) q^{51} +(0.196703 - 0.854190i) q^{52} +8.59349i q^{53} +(4.48240 + 5.82307i) q^{54} +(-1.39133 + 0.803287i) q^{55} +(-2.17755 + 3.17404i) q^{56} +(3.64409 - 0.622282i) q^{57} +(2.06037 - 1.63983i) q^{58} +7.46990 q^{59} +(-6.76066 - 4.43711i) q^{60} +(-1.85593 + 3.21457i) q^{61} +(-2.38131 + 1.89526i) q^{62} +(-1.35485 - 3.85132i) q^{63} +(5.02415 - 6.22559i) q^{64} +(-0.886043 - 0.511557i) q^{65} +(1.65018 + 0.344542i) q^{66} +(-2.31575 - 7.85094i) q^{67} +(-5.50627 - 1.26799i) q^{68} +(-0.662261 - 3.87821i) q^{69} +(2.79782 + 3.51533i) q^{70} +(-0.617786 - 1.07004i) q^{71} +(2.18602 + 8.19886i) q^{72} +(-4.71415 + 8.16514i) q^{73} +(1.30368 - 3.31229i) q^{74} +(-0.599143 + 0.497253i) q^{75} +(4.15987 + 0.957937i) q^{76} +(-0.811103 - 0.468290i) q^{77} +(0.335423 + 1.01980i) q^{78} +(4.24928 - 2.45332i) q^{79} +(-5.23021 - 7.73547i) q^{80} +(-8.38878 - 3.26011i) q^{81} +(5.35090 - 4.25873i) q^{82} +(4.56280 - 7.90299i) q^{83} +(0.269516 - 4.70656i) q^{84} +(-3.29759 + 5.71160i) q^{85} +(1.35543 + 9.05214i) q^{86} +(-1.11940 + 3.02460i) q^{87} +(1.60513 + 1.10120i) q^{88} -9.29896i q^{89} +(9.89745 + 0.363402i) q^{90} -0.596442i q^{91} +(1.01948 - 4.42712i) q^{92} +(1.29376 - 3.49574i) q^{93} +(-0.439320 - 0.551985i) q^{94} +(2.49126 - 4.31499i) q^{95} +(-1.31778 + 9.70894i) q^{96} +(5.03441 - 8.71986i) q^{97} +(2.66636 - 6.77449i) q^{98} +(-1.94763 + 0.685153i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 264 q - 2 q^{4} - 3 q^{6} - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 264 q - 2 q^{4} - 3 q^{6} - 12 q^{9} + 2 q^{10} + 2 q^{12} - 18 q^{16} + q^{18} - 4 q^{22} - 248 q^{25} + 7 q^{30} - 38 q^{34} + 13 q^{36} + 4 q^{37} + 48 q^{40} - 12 q^{42} + 48 q^{45} - 2 q^{46} - 11 q^{48} + 128 q^{49} + 32 q^{52} - 8 q^{54} - 2 q^{57} - 32 q^{58} + 68 q^{60} - 8 q^{61} + 4 q^{64} + 30 q^{66} - 40 q^{69} - 140 q^{70} + 108 q^{72} - 4 q^{73} - 120 q^{76} + 44 q^{78} - 28 q^{81} - 64 q^{82} + 33 q^{84} + 16 q^{85} - 14 q^{88} + 42 q^{90} + 16 q^{93} - 12 q^{94} - 4 q^{96} + 20 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).

\(n\) \(269\) \(337\) \(403\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\) \(-1\)

Coefficient data

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



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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.39862 + 0.209424i −0.988975 + 0.148085i
\(3\) 1.33282 1.10616i 0.769504 0.638642i
\(4\) 1.91228 0.585811i 0.956141 0.292905i
\(5\) 2.33442i 1.04399i −0.852950 0.521993i \(-0.825189\pi\)
0.852950 0.521993i \(-0.174811\pi\)
\(6\) −1.63245 + 1.82622i −0.666446 + 0.745553i
\(7\) 1.17857 0.680446i 0.445457 0.257185i −0.260453 0.965487i \(-0.583872\pi\)
0.705909 + 0.708302i \(0.250539\pi\)
\(8\) −2.55188 + 1.21981i −0.902225 + 0.431266i
\(9\) 0.552819 2.94863i 0.184273 0.982875i
\(10\) 0.488885 + 3.26497i 0.154599 + 1.03248i
\(11\) −0.344105 0.596008i −0.103752 0.179703i 0.809476 0.587153i \(-0.199751\pi\)
−0.913227 + 0.407450i \(0.866418\pi\)
\(12\) 1.90073 2.89607i 0.548693 0.836024i
\(13\) 0.219136 0.379555i 0.0607775 0.105270i −0.834036 0.551711i \(-0.813975\pi\)
0.894813 + 0.446441i \(0.147309\pi\)
\(14\) −1.50587 + 1.19851i −0.402460 + 0.320315i
\(15\) −2.58225 3.11137i −0.666733 0.803351i
\(16\) 3.31365 2.24047i 0.828413 0.560118i
\(17\) −2.44668 1.41259i −0.593408 0.342604i 0.173036 0.984916i \(-0.444642\pi\)
−0.766444 + 0.642311i \(0.777976\pi\)
\(18\) −0.155671 + 4.23978i −0.0366920 + 0.999327i
\(19\) 1.84842 + 1.06719i 0.424057 + 0.244829i 0.696811 0.717254i \(-0.254601\pi\)
−0.272755 + 0.962084i \(0.587935\pi\)
\(20\) −1.36753 4.46408i −0.305789 0.998198i
\(21\) 0.818136 2.21060i 0.178532 0.482392i
\(22\) 0.606091 + 0.761525i 0.129219 + 0.162358i
\(23\) 1.13575 1.96717i 0.236820 0.410184i −0.722980 0.690869i \(-0.757228\pi\)
0.959800 + 0.280685i \(0.0905616\pi\)
\(24\) −2.05189 + 4.44857i −0.418841 + 0.908060i
\(25\) −0.449530 −0.0899061
\(26\) −0.227001 + 0.576747i −0.0445185 + 0.113109i
\(27\) −2.52484 4.54149i −0.485906 0.874011i
\(28\) 1.85514 1.99162i 0.350589 0.376381i
\(29\) −1.61255 + 0.931007i −0.299443 + 0.172884i −0.642193 0.766543i \(-0.721975\pi\)
0.342750 + 0.939427i \(0.388642\pi\)
\(30\) 4.26318 + 3.81084i 0.778347 + 0.695761i
\(31\) 1.86373 1.07603i 0.334736 0.193260i −0.323206 0.946329i \(-0.604761\pi\)
0.657942 + 0.753069i \(0.271427\pi\)
\(32\) −4.16533 + 3.82753i −0.736334 + 0.676618i
\(33\) −1.11791 0.413736i −0.194603 0.0720221i
\(34\) 3.71782 + 1.46329i 0.637600 + 0.250952i
\(35\) −1.58845 2.75128i −0.268497 0.465050i
\(36\) −0.670189 5.96245i −0.111698 0.993742i
\(37\) −1.25851 + 2.17981i −0.206899 + 0.358359i −0.950736 0.310002i \(-0.899670\pi\)
0.743837 + 0.668361i \(0.233004\pi\)
\(38\) −2.80873 1.10548i −0.455637 0.179333i
\(39\) −0.127780 0.748279i −0.0204611 0.119821i
\(40\) 2.84754 + 5.95716i 0.450236 + 0.941910i
\(41\) −4.18788 + 2.41787i −0.654037 + 0.377609i −0.790001 0.613105i \(-0.789920\pi\)
0.135964 + 0.990714i \(0.456587\pi\)
\(42\) −0.681310 + 3.26313i −0.105128 + 0.503511i
\(43\) 6.47219i 0.987000i −0.869746 0.493500i \(-0.835717\pi\)
0.869746 0.493500i \(-0.164283\pi\)
\(44\) −1.00717 0.938155i −0.151837 0.141432i
\(45\) −6.88334 1.29051i −1.02611 0.192379i
\(46\) −1.17651 + 2.98918i −0.173467 + 0.440731i
\(47\) 0.249422 + 0.432011i 0.0363819 + 0.0630153i 0.883643 0.468161i \(-0.155083\pi\)
−0.847261 + 0.531177i \(0.821750\pi\)
\(48\) 1.93818 6.65157i 0.279753 0.960072i
\(49\) −2.57399 + 4.45827i −0.367712 + 0.636896i
\(50\) 0.628723 0.0941426i 0.0889148 0.0133138i
\(51\) −4.82355 + 0.823691i −0.675432 + 0.115340i
\(52\) 0.196703 0.854190i 0.0272778 0.118455i
\(53\) 8.59349i 1.18041i 0.807255 + 0.590203i \(0.200952\pi\)
−0.807255 + 0.590203i \(0.799048\pi\)
\(54\) 4.48240 + 5.82307i 0.609977 + 0.792419i
\(55\) −1.39133 + 0.803287i −0.187607 + 0.108315i
\(56\) −2.17755 + 3.17404i −0.290987 + 0.424149i
\(57\) 3.64409 0.622282i 0.482672 0.0824232i
\(58\) 2.06037 1.63983i 0.270540 0.215321i
\(59\) 7.46990 0.972498 0.486249 0.873820i \(-0.338365\pi\)
0.486249 + 0.873820i \(0.338365\pi\)
\(60\) −6.76066 4.43711i −0.872797 0.572828i
\(61\) −1.85593 + 3.21457i −0.237628 + 0.411584i −0.960033 0.279886i \(-0.909703\pi\)
0.722405 + 0.691470i \(0.243037\pi\)
\(62\) −2.38131 + 1.89526i −0.302427 + 0.240699i
\(63\) −1.35485 3.85132i −0.170695 0.485220i
\(64\) 5.02415 6.22559i 0.628019 0.778198i
\(65\) −0.886043 0.511557i −0.109900 0.0634508i
\(66\) 1.65018 + 0.344542i 0.203123 + 0.0424102i
\(67\) −2.31575 7.85094i −0.282913 0.959145i
\(68\) −5.50627 1.26799i −0.667733 0.153766i
\(69\) −0.662261 3.87821i −0.0797268 0.466881i
\(70\) 2.79782 + 3.51533i 0.334404 + 0.420163i
\(71\) −0.617786 1.07004i −0.0733177 0.126990i 0.827036 0.562149i \(-0.190025\pi\)
−0.900353 + 0.435159i \(0.856692\pi\)
\(72\) 2.18602 + 8.19886i 0.257625 + 0.966245i
\(73\) −4.71415 + 8.16514i −0.551749 + 0.955657i 0.446400 + 0.894834i \(0.352706\pi\)
−0.998149 + 0.0608236i \(0.980627\pi\)
\(74\) 1.30368 3.31229i 0.151550 0.385046i
\(75\) −0.599143 + 0.497253i −0.0691831 + 0.0574178i
\(76\) 4.15987 + 0.957937i 0.477170 + 0.109883i
\(77\) −0.811103 0.468290i −0.0924337 0.0533666i
\(78\) 0.335423 + 1.01980i 0.0379792 + 0.115469i
\(79\) 4.24928 2.45332i 0.478081 0.276020i −0.241535 0.970392i \(-0.577651\pi\)
0.719617 + 0.694372i \(0.244318\pi\)
\(80\) −5.23021 7.73547i −0.584755 0.864851i
\(81\) −8.38878 3.26011i −0.932087 0.362235i
\(82\) 5.35090 4.25873i 0.590908 0.470299i
\(83\) 4.56280 7.90299i 0.500832 0.867466i −0.499168 0.866505i \(-0.666361\pi\)
1.00000 0.000960918i \(-0.000305870\pi\)
\(84\) 0.269516 4.70656i 0.0294067 0.513528i
\(85\) −3.29759 + 5.71160i −0.357674 + 0.619510i
\(86\) 1.35543 + 9.05214i 0.146160 + 0.976118i
\(87\) −1.11940 + 3.02460i −0.120012 + 0.324272i
\(88\) 1.60513 + 1.10120i 0.171107 + 0.117388i
\(89\) 9.29896i 0.985688i −0.870118 0.492844i \(-0.835957\pi\)
0.870118 0.492844i \(-0.164043\pi\)
\(90\) 9.89745 + 0.363402i 1.04328 + 0.0383060i
\(91\) 0.596442i 0.0625241i
\(92\) 1.01948 4.42712i 0.106288 0.461560i
\(93\) 1.29376 3.49574i 0.134157 0.362491i
\(94\) −0.439320 0.551985i −0.0453124 0.0569329i
\(95\) 2.49126 4.31499i 0.255598 0.442709i
\(96\) −1.31778 + 9.70894i −0.134496 + 0.990914i
\(97\) 5.03441 8.71986i 0.511167 0.885368i −0.488749 0.872424i \(-0.662547\pi\)
0.999916 0.0129433i \(-0.00412008\pi\)
\(98\) 2.66636 6.77449i 0.269343 0.684327i
\(99\) −1.94763 + 0.685153i −0.195744 + 0.0688605i
\(100\) −0.859629 + 0.263340i −0.0859629 + 0.0263340i
\(101\) 4.51319 2.60569i 0.449079 0.259276i −0.258362 0.966048i \(-0.583183\pi\)
0.707441 + 0.706772i \(0.249849\pi\)
\(102\) 6.57381 2.16220i 0.650905 0.214090i
\(103\) −9.99177 + 5.76875i −0.984518 + 0.568412i −0.903631 0.428312i \(-0.859109\pi\)
−0.0808869 + 0.996723i \(0.525775\pi\)
\(104\) −0.0962253 + 1.23588i −0.00943566 + 0.121188i
\(105\) −5.16047 1.90988i −0.503610 0.186385i
\(106\) −1.79969 12.0190i −0.174801 1.16739i
\(107\) 9.54980 0.923214 0.461607 0.887085i \(-0.347273\pi\)
0.461607 + 0.887085i \(0.347273\pi\)
\(108\) −7.48867 7.20554i −0.720598 0.693354i
\(109\) −7.02244 −0.672628 −0.336314 0.941750i \(-0.609180\pi\)
−0.336314 + 0.941750i \(0.609180\pi\)
\(110\) 1.77772 1.41487i 0.169499 0.134903i
\(111\) 0.733847 + 4.29742i 0.0696536 + 0.407893i
\(112\) 2.38084 4.89531i 0.224968 0.462563i
\(113\) 3.85162 2.22373i 0.362330 0.209191i −0.307772 0.951460i \(-0.599584\pi\)
0.670102 + 0.742269i \(0.266250\pi\)
\(114\) −4.96638 + 1.63350i −0.465144 + 0.152991i
\(115\) −4.59221 2.65132i −0.428226 0.247237i
\(116\) −2.53826 + 2.72500i −0.235672 + 0.253010i
\(117\) −0.998024 0.855977i −0.0922673 0.0791351i
\(118\) −10.4476 + 1.56438i −0.961776 + 0.144013i
\(119\) −3.84478 −0.352450
\(120\) 10.3848 + 4.78998i 0.948001 + 0.437264i
\(121\) 5.26318 9.11610i 0.478471 0.828736i
\(122\) 1.92254 4.88464i 0.174058 0.442235i
\(123\) −2.90714 + 7.85506i −0.262128 + 0.708267i
\(124\) 2.93364 3.14946i 0.263448 0.282830i
\(125\) 10.6227i 0.950125i
\(126\) 2.70148 + 5.10280i 0.240667 + 0.454593i
\(127\) 8.03081 4.63659i 0.712619 0.411431i −0.0994108 0.995046i \(-0.531696\pi\)
0.812030 + 0.583615i \(0.198362\pi\)
\(128\) −5.72309 + 9.75942i −0.505855 + 0.862619i
\(129\) −7.15928 8.62627i −0.630339 0.759501i
\(130\) 1.34637 + 0.529916i 0.118085 + 0.0464767i
\(131\) 13.5923 1.18757 0.593783 0.804625i \(-0.297634\pi\)
0.593783 + 0.804625i \(0.297634\pi\)
\(132\) −2.38013 0.136296i −0.207164 0.0118630i
\(133\) 2.90465 0.251865
\(134\) 4.88303 + 10.4955i 0.421830 + 0.906675i
\(135\) −10.6018 + 5.89405i −0.912455 + 0.507279i
\(136\) 7.96673 + 0.620286i 0.683141 + 0.0531891i
\(137\) 11.2084i 0.957601i −0.877924 0.478801i \(-0.841072\pi\)
0.877924 0.478801i \(-0.158928\pi\)
\(138\) 1.73844 + 5.28545i 0.147986 + 0.449927i
\(139\) 16.4839i 1.39814i 0.715052 + 0.699072i \(0.246403\pi\)
−0.715052 + 0.699072i \(0.753597\pi\)
\(140\) −4.64929 4.33069i −0.392937 0.366010i
\(141\) 0.810308 + 0.299893i 0.0682402 + 0.0252555i
\(142\) 1.08814 + 1.36720i 0.0913147 + 0.114733i
\(143\) −0.301624 −0.0252231
\(144\) −4.77446 11.0093i −0.397872 0.917441i
\(145\) 2.17336 + 3.76438i 0.180488 + 0.312614i
\(146\) 4.88333 12.4072i 0.404147 1.02683i
\(147\) 1.50090 + 8.78932i 0.123793 + 0.724931i
\(148\) −1.12968 + 4.90567i −0.0928591 + 0.403243i
\(149\) 23.6163i 1.93472i 0.253402 + 0.967361i \(0.418450\pi\)
−0.253402 + 0.967361i \(0.581550\pi\)
\(150\) 0.733838 0.820943i 0.0599176 0.0670297i
\(151\) −6.44501 3.72103i −0.524488 0.302813i 0.214281 0.976772i \(-0.431259\pi\)
−0.738769 + 0.673959i \(0.764592\pi\)
\(152\) −6.01870 0.468613i −0.488181 0.0380096i
\(153\) −5.51779 + 6.43345i −0.446087 + 0.520113i
\(154\) 1.23250 + 0.485096i 0.0993174 + 0.0390902i
\(155\) −2.51190 4.35074i −0.201761 0.349460i
\(156\) −0.682701 1.35607i −0.0546598 0.108572i
\(157\) −0.135859 + 0.235314i −0.0108427 + 0.0187801i −0.871396 0.490581i \(-0.836785\pi\)
0.860553 + 0.509361i \(0.170118\pi\)
\(158\) −5.42935 + 4.32117i −0.431936 + 0.343774i
\(159\) 9.50578 + 11.4536i 0.753857 + 0.908328i
\(160\) 8.93507 + 9.72365i 0.706380 + 0.768722i
\(161\) 3.09126i 0.243626i
\(162\) 12.4155 + 2.80285i 0.975452 + 0.220213i
\(163\) −5.42306 + 3.13100i −0.424767 + 0.245239i −0.697115 0.716960i \(-0.745533\pi\)
0.272348 + 0.962199i \(0.412200\pi\)
\(164\) −6.59200 + 7.07696i −0.514748 + 0.552618i
\(165\) −0.965834 + 2.60968i −0.0751901 + 0.203163i
\(166\) −4.72654 + 12.0089i −0.366851 + 0.932068i
\(167\) 2.72076 + 4.71249i 0.210539 + 0.364664i 0.951883 0.306461i \(-0.0991449\pi\)
−0.741345 + 0.671125i \(0.765812\pi\)
\(168\) 0.608717 + 6.63914i 0.0469635 + 0.512221i
\(169\) 6.40396 + 11.0920i 0.492612 + 0.853229i
\(170\) 3.41594 8.67896i 0.261990 0.665646i
\(171\) 4.16857 4.86034i 0.318779 0.371679i
\(172\) −3.79148 12.3767i −0.289098 0.943712i
\(173\) 17.9816 + 10.3817i 1.36711 + 0.789303i 0.990558 0.137091i \(-0.0437754\pi\)
0.376555 + 0.926394i \(0.377109\pi\)
\(174\) 0.932188 4.46471i 0.0706690 0.338468i
\(175\) −0.529802 + 0.305881i −0.0400493 + 0.0231225i
\(176\) −2.47558 1.20400i −0.186604 0.0907553i
\(177\) 9.95603 8.26290i 0.748341 0.621078i
\(178\) 1.94743 + 13.0057i 0.145966 + 0.974821i
\(179\) 21.7611 1.62650 0.813249 0.581916i \(-0.197697\pi\)
0.813249 + 0.581916i \(0.197697\pi\)
\(180\) −13.9189 + 1.56450i −1.03745 + 0.116611i
\(181\) 2.35516 + 4.07925i 0.175058 + 0.303209i 0.940181 0.340675i \(-0.110656\pi\)
−0.765124 + 0.643883i \(0.777322\pi\)
\(182\) 0.124910 + 0.834197i 0.00925891 + 0.0618348i
\(183\) 1.08220 + 6.33740i 0.0799989 + 0.468474i
\(184\) −0.498720 + 6.40538i −0.0367661 + 0.472211i
\(185\) 5.08860 + 2.93791i 0.374121 + 0.215999i
\(186\) −1.07739 + 5.16016i −0.0789982 + 0.378361i
\(187\) 1.94432i 0.142183i
\(188\) 0.730042 + 0.680013i 0.0532437 + 0.0495951i
\(189\) −6.06594 3.63444i −0.441232 0.264366i
\(190\) −2.58067 + 6.55677i −0.187221 + 0.475678i
\(191\) −2.98737 + 5.17428i −0.216159 + 0.374398i −0.953630 0.300980i \(-0.902686\pi\)
0.737472 + 0.675378i \(0.236019\pi\)
\(192\) −0.190210 13.8551i −0.0137272 0.999906i
\(193\) −4.54276 −0.326995 −0.163497 0.986544i \(-0.552278\pi\)
−0.163497 + 0.986544i \(0.552278\pi\)
\(194\) −5.21509 + 13.2501i −0.374421 + 0.951303i
\(195\) −1.74680 + 0.298292i −0.125091 + 0.0213611i
\(196\) −2.31048 + 10.0333i −0.165035 + 0.716668i
\(197\) −16.5741 + 9.56909i −1.18086 + 0.681769i −0.956213 0.292671i \(-0.905456\pi\)
−0.224646 + 0.974440i \(0.572123\pi\)
\(198\) 2.58051 1.36615i 0.183389 0.0970881i
\(199\) 0.485326 + 0.280203i 0.0344039 + 0.0198631i 0.517103 0.855923i \(-0.327010\pi\)
−0.482699 + 0.875786i \(0.660344\pi\)
\(200\) 1.14715 0.548340i 0.0811155 0.0387735i
\(201\) −11.7709 7.90231i −0.830253 0.557386i
\(202\) −5.76654 + 4.58954i −0.405733 + 0.322919i
\(203\) −1.26700 + 2.19451i −0.0889260 + 0.154024i
\(204\) −8.74146 + 4.40082i −0.612025 + 0.308119i
\(205\) 5.64434 + 9.77629i 0.394218 + 0.682805i
\(206\) 12.7666 10.1608i 0.889490 0.707937i
\(207\) −5.17259 4.43639i −0.359520 0.308350i
\(208\) −0.124241 1.74868i −0.00861457 0.121249i
\(209\) 1.46890i 0.101606i
\(210\) 7.61752 + 1.59047i 0.525659 + 0.109753i
\(211\) 16.7704 + 9.68237i 1.15452 + 0.666562i 0.949984 0.312298i \(-0.101099\pi\)
0.204534 + 0.978859i \(0.434432\pi\)
\(212\) 5.03416 + 16.4332i 0.345747 + 1.12864i
\(213\) −2.00703 0.742797i −0.137519 0.0508956i
\(214\) −13.3566 + 1.99996i −0.913035 + 0.136714i
\(215\) −15.1088 −1.03041
\(216\) 11.9828 + 8.50951i 0.815328 + 0.578999i
\(217\) 1.46436 2.53634i 0.0994070 0.172178i
\(218\) 9.82174 1.47067i 0.665212 0.0996064i
\(219\) 2.74884 + 16.0973i 0.185750 + 1.08775i
\(220\) −2.19005 + 2.35117i −0.147653 + 0.158516i
\(221\) −1.07232 + 0.619102i −0.0721317 + 0.0416453i
\(222\) −1.92636 5.85677i −0.129289 0.393081i
\(223\) 18.7468i 1.25538i −0.778464 0.627689i \(-0.784001\pi\)
0.778464 0.627689i \(-0.215999\pi\)
\(224\) −2.30470 + 7.34529i −0.153989 + 0.490778i
\(225\) −0.248509 + 1.32550i −0.0165673 + 0.0883665i
\(226\) −4.92125 + 3.91678i −0.327357 + 0.260541i
\(227\) 11.6448 + 20.1694i 0.772894 + 1.33869i 0.935971 + 0.352078i \(0.114525\pi\)
−0.163077 + 0.986613i \(0.552142\pi\)
\(228\) 6.60399 3.32473i 0.437360 0.220185i
\(229\) 2.62411 4.54510i 0.173406 0.300349i −0.766202 0.642599i \(-0.777856\pi\)
0.939609 + 0.342251i \(0.111189\pi\)
\(230\) 6.97802 + 2.74647i 0.460117 + 0.181097i
\(231\) −1.59906 + 0.273063i −0.105210 + 0.0179662i
\(232\) 2.97938 4.34281i 0.195606 0.285120i
\(233\) −5.75546 + 3.32292i −0.377053 + 0.217692i −0.676535 0.736410i \(-0.736519\pi\)
0.299482 + 0.954102i \(0.403186\pi\)
\(234\) 1.57512 + 0.988177i 0.102969 + 0.0645991i
\(235\) 1.00850 0.582256i 0.0657871 0.0379822i
\(236\) 14.2846 4.37594i 0.929845 0.284850i
\(237\) 2.94976 7.97022i 0.191607 0.517722i
\(238\) 5.37739 0.805190i 0.348564 0.0521927i
\(239\) 9.72146 + 16.8381i 0.628829 + 1.08916i 0.987787 + 0.155810i \(0.0497988\pi\)
−0.358958 + 0.933354i \(0.616868\pi\)
\(240\) −15.5276 4.52454i −1.00230 0.292058i
\(241\) 2.63836 0.169952 0.0849759 0.996383i \(-0.472919\pi\)
0.0849759 + 0.996383i \(0.472919\pi\)
\(242\) −5.45207 + 13.8522i −0.350472 + 0.890454i
\(243\) −14.7869 + 4.93419i −0.948583 + 0.316528i
\(244\) −1.66594 + 7.23439i −0.106651 + 0.463135i
\(245\) 10.4075 + 6.00877i 0.664911 + 0.383886i
\(246\) 2.42094 11.5951i 0.154354 0.739275i
\(247\) 0.810112 0.467719i 0.0515462 0.0297602i
\(248\) −3.44347 + 5.01928i −0.218661 + 0.318724i
\(249\) −2.66059 15.5805i −0.168608 0.987371i
\(250\) 2.22466 + 14.8572i 0.140700 + 0.939649i
\(251\) 7.55609 13.0875i 0.476936 0.826077i −0.522715 0.852508i \(-0.675081\pi\)
0.999651 + 0.0264303i \(0.00841401\pi\)
\(252\) −4.84699 6.57113i −0.305332 0.413942i
\(253\) −1.56327 −0.0982818
\(254\) −10.2611 + 8.16668i −0.643836 + 0.512423i
\(255\) 1.92284 + 11.2602i 0.120413 + 0.705141i
\(256\) 5.96058 14.8483i 0.372536 0.928018i
\(257\) −13.2024 + 7.62243i −0.823545 + 0.475474i −0.851638 0.524131i \(-0.824390\pi\)
0.0280921 + 0.999605i \(0.491057\pi\)
\(258\) 11.8197 + 10.5656i 0.735861 + 0.657783i
\(259\) 3.42541i 0.212844i
\(260\) −1.99404 0.459189i −0.123665 0.0284777i
\(261\) 1.85374 + 5.26949i 0.114744 + 0.326173i
\(262\) −19.0105 + 2.84656i −1.17447 + 0.175861i
\(263\) −4.48324 −0.276448 −0.138224 0.990401i \(-0.544139\pi\)
−0.138224 + 0.990401i \(0.544139\pi\)
\(264\) 3.35745 0.307831i 0.206637 0.0189457i
\(265\) 20.0608 1.23233
\(266\) −4.06251 + 0.608304i −0.249088 + 0.0372975i
\(267\) −10.2861 12.3938i −0.629502 0.758491i
\(268\) −9.02753 13.6566i −0.551444 0.834212i
\(269\) 2.05747i 0.125446i −0.998031 0.0627231i \(-0.980021\pi\)
0.998031 0.0627231i \(-0.0199785\pi\)
\(270\) 13.5935 10.4638i 0.827274 0.636807i
\(271\) 14.6095i 0.887467i 0.896159 + 0.443733i \(0.146346\pi\)
−0.896159 + 0.443733i \(0.853654\pi\)
\(272\) −11.2723 + 0.800881i −0.683486 + 0.0485606i
\(273\) −0.659761 0.794950i −0.0399305 0.0481126i
\(274\) 2.34732 + 15.6764i 0.141807 + 0.947043i
\(275\) 0.154686 + 0.267924i 0.00932790 + 0.0161564i
\(276\) −3.53832 7.02827i −0.212982 0.423052i
\(277\) 32.3141 1.94157 0.970783 0.239961i \(-0.0771345\pi\)
0.970783 + 0.239961i \(0.0771345\pi\)
\(278\) −3.45212 23.0547i −0.207044 1.38273i
\(279\) −2.14249 6.09030i −0.128268 0.364616i
\(280\) 7.40955 + 5.08332i 0.442805 + 0.303786i
\(281\) 14.4134 + 8.32160i 0.859834 + 0.496425i 0.863957 0.503566i \(-0.167979\pi\)
−0.00412295 + 0.999992i \(0.501312\pi\)
\(282\) −1.19612 0.249738i −0.0712278 0.0148717i
\(283\) 12.7676i 0.758958i −0.925200 0.379479i \(-0.876103\pi\)
0.925200 0.379479i \(-0.123897\pi\)
\(284\) −1.80822 1.68431i −0.107298 0.0999453i
\(285\) −1.45267 8.50685i −0.0860487 0.503902i
\(286\) 0.421858 0.0631674i 0.0249450 0.00373517i
\(287\) −3.29047 + 5.69926i −0.194230 + 0.336416i
\(288\) 8.98327 + 14.3979i 0.529344 + 0.848407i
\(289\) −4.50916 7.81009i −0.265244 0.459417i
\(290\) −3.82806 4.80978i −0.224792 0.282440i
\(291\) −2.93559 17.1909i −0.172088 1.00775i
\(292\) −4.23155 + 18.3757i −0.247633 + 1.07535i
\(293\) 22.5289i 1.31615i 0.752950 + 0.658077i \(0.228630\pi\)
−0.752950 + 0.658077i \(0.771370\pi\)
\(294\) −3.93989 11.9786i −0.229779 0.698606i
\(295\) 17.4379i 1.01527i
\(296\) 0.552628 7.09775i 0.0321208 0.412549i
\(297\) −1.83795 + 3.06758i −0.106649 + 0.177999i
\(298\) −4.94583 33.0302i −0.286504 1.91339i
\(299\) −0.497767 0.862159i −0.0287866 0.0498599i
\(300\) −0.854436 + 1.30187i −0.0493309 + 0.0751636i
\(301\) −4.40398 7.62791i −0.253841 0.439666i
\(302\) 9.79341 + 3.85457i 0.563547 + 0.221806i
\(303\) 3.13296 8.46522i 0.179984 0.486314i
\(304\) 8.51602 0.605049i 0.488427 0.0347020i
\(305\) 7.50417 + 4.33253i 0.429687 + 0.248080i
\(306\) 6.36997 10.1535i 0.364147 0.580438i
\(307\) −13.0696 7.54573i −0.745921 0.430657i 0.0782975 0.996930i \(-0.475052\pi\)
−0.824218 + 0.566273i \(0.808385\pi\)
\(308\) −1.82539 0.420351i −0.104011 0.0239517i
\(309\) −6.93607 + 18.7412i −0.394579 + 1.06615i
\(310\) 4.42435 + 5.55898i 0.251286 + 0.315729i
\(311\) 6.80936 0.386123 0.193062 0.981187i \(-0.438158\pi\)
0.193062 + 0.981187i \(0.438158\pi\)
\(312\) 1.23883 + 1.75365i 0.0701351 + 0.0992809i
\(313\) 5.74076 0.324487 0.162244 0.986751i \(-0.448127\pi\)
0.162244 + 0.986751i \(0.448127\pi\)
\(314\) 0.140734 0.357567i 0.00794209 0.0201787i
\(315\) −8.99061 + 3.16278i −0.506563 + 0.178203i
\(316\) 6.68864 7.18072i 0.376266 0.403947i
\(317\) 13.1136 + 7.57113i 0.736532 + 0.425237i 0.820807 0.571206i \(-0.193524\pi\)
−0.0842751 + 0.996443i \(0.526857\pi\)
\(318\) −15.6936 14.0285i −0.880055 0.786678i
\(319\) 1.10977 + 0.640729i 0.0621355 + 0.0358739i
\(320\) −14.5332 11.7285i −0.812428 0.655642i
\(321\) 12.7282 10.5636i 0.710417 0.589603i
\(322\) 0.647385 + 4.32350i 0.0360774 + 0.240940i
\(323\) −3.01500 5.22214i −0.167759 0.290567i
\(324\) −17.9515 1.32002i −0.997307 0.0733347i
\(325\) −0.0985085 + 0.170622i −0.00546427 + 0.00946439i
\(326\) 6.92909 5.51481i 0.383767 0.305437i
\(327\) −9.35966 + 7.76795i −0.517590 + 0.429568i
\(328\) 7.73762 11.2785i 0.427239 0.622752i
\(329\) 0.587921 + 0.339436i 0.0324131 + 0.0187137i
\(330\) 0.804307 3.85222i 0.0442756 0.212058i
\(331\) −2.54437 + 1.46899i −0.139851 + 0.0807430i −0.568293 0.822826i \(-0.692396\pi\)
0.428442 + 0.903569i \(0.359063\pi\)
\(332\) 4.09570 17.7857i 0.224781 0.976117i
\(333\) 5.73172 + 4.91593i 0.314096 + 0.269391i
\(334\) −4.79222 6.02120i −0.262219 0.329465i
\(335\) −18.3274 + 5.40593i −1.00133 + 0.295358i
\(336\) −2.24176 9.15816i −0.122298 0.499619i
\(337\) 14.6977 25.4572i 0.800635 1.38674i −0.118563 0.992947i \(-0.537829\pi\)
0.919198 0.393795i \(-0.128838\pi\)
\(338\) −11.2796 14.1723i −0.613532 0.770873i
\(339\) 2.67371 7.22435i 0.145216 0.392373i
\(340\) −2.96002 + 12.8540i −0.160529 + 0.697104i
\(341\) −1.28264 0.740533i −0.0694589 0.0401021i
\(342\) −4.81238 + 7.67077i −0.260224 + 0.414788i
\(343\) 16.5321i 0.892649i
\(344\) 7.89482 + 16.5162i 0.425660 + 0.890496i
\(345\) −9.05338 + 1.54600i −0.487417 + 0.0832337i
\(346\) −27.3236 10.7542i −1.46892 0.578151i
\(347\) −15.1779 26.2889i −0.814793 1.41126i −0.909476 0.415755i \(-0.863517\pi\)
0.0946835 0.995507i \(-0.469816\pi\)
\(348\) −0.368760 + 6.43965i −0.0197676 + 0.345202i
\(349\) −5.68747 −0.304443 −0.152222 0.988346i \(-0.548643\pi\)
−0.152222 + 0.988346i \(0.548643\pi\)
\(350\) 0.676933 0.538766i 0.0361836 0.0287982i
\(351\) −2.27703 0.0368890i −0.121539 0.00196899i
\(352\) 3.71455 + 1.16550i 0.197986 + 0.0621213i
\(353\) −1.18920 0.686584i −0.0632947 0.0365432i 0.468019 0.883719i \(-0.344968\pi\)
−0.531313 + 0.847175i \(0.678301\pi\)
\(354\) −12.1943 + 13.6417i −0.648118 + 0.725048i
\(355\) −2.49792 + 1.44217i −0.132576 + 0.0765427i
\(356\) −5.44743 17.7822i −0.288713 0.942457i
\(357\) −5.12440 + 4.25294i −0.271212 + 0.225089i
\(358\) −30.4355 + 4.55730i −1.60857 + 0.240861i
\(359\) −33.7871 −1.78321 −0.891606 0.452811i \(-0.850421\pi\)
−0.891606 + 0.452811i \(0.850421\pi\)
\(360\) 19.1396 5.10310i 1.00875 0.268957i
\(361\) −7.22223 12.5093i −0.380117 0.658382i
\(362\) −4.14827 5.21210i −0.218028 0.273942i
\(363\) −3.06899 17.9720i −0.161080 0.943288i
\(364\) −0.349402 1.14057i −0.0183137 0.0597819i
\(365\) 19.0609 + 11.0048i 0.997693 + 0.576018i
\(366\) −2.84080 8.63699i −0.148491 0.451463i
\(367\) −12.6040 + 7.27692i −0.657923 + 0.379852i −0.791485 0.611188i \(-0.790692\pi\)
0.133562 + 0.991040i \(0.457359\pi\)
\(368\) −0.643921 9.06314i −0.0335667 0.472449i
\(369\) 4.81426 + 13.6851i 0.250621 + 0.712420i
\(370\) −7.73230 3.04334i −0.401983 0.158216i
\(371\) 5.84741 + 10.1280i 0.303582 + 0.525820i
\(372\) 0.426201 7.44273i 0.0220975 0.385888i
\(373\) −15.6776 27.1544i −0.811754 1.40600i −0.911635 0.411000i \(-0.865180\pi\)
0.0998809 0.994999i \(-0.468154\pi\)
\(374\) −0.407189 2.71937i −0.0210552 0.140615i
\(375\) −11.7504 14.1582i −0.606790 0.731125i
\(376\) −1.16346 0.798193i −0.0600010 0.0411637i
\(377\) 0.816070i 0.0420297i
\(378\) 9.24509 + 3.81285i 0.475516 + 0.196112i
\(379\) 27.6055 + 15.9380i 1.41800 + 0.818682i 0.996123 0.0879723i \(-0.0280387\pi\)
0.421875 + 0.906654i \(0.361372\pi\)
\(380\) 2.23623 9.71090i 0.114716 0.498159i
\(381\) 5.57482 15.0631i 0.285606 0.771706i
\(382\) 3.09458 7.86248i 0.158332 0.402280i
\(383\) 11.4893 19.9001i 0.587078 1.01685i −0.407535 0.913190i \(-0.633612\pi\)
0.994613 0.103659i \(-0.0330550\pi\)
\(384\) 3.16763 + 19.3382i 0.161647 + 0.986849i
\(385\) −1.09319 + 1.89346i −0.0557140 + 0.0964995i
\(386\) 6.35359 0.951363i 0.323389 0.0484231i
\(387\) −19.0841 3.57795i −0.970098 0.181878i
\(388\) 4.51904 19.6241i 0.229419 0.996260i
\(389\) 15.3248 + 8.84780i 0.777000 + 0.448601i 0.835366 0.549694i \(-0.185256\pi\)
−0.0583658 + 0.998295i \(0.518589\pi\)
\(390\) 2.38064 0.783019i 0.120548 0.0396497i
\(391\) −5.55763 + 3.20870i −0.281062 + 0.162271i
\(392\) 1.13027 14.5167i 0.0570871 0.733205i
\(393\) 18.1161 15.0353i 0.913837 0.758429i
\(394\) 21.1770 16.8546i 1.06688 0.849121i
\(395\) −5.72709 9.91962i −0.288161 0.499110i
\(396\) −3.32305 + 2.45115i −0.166990 + 0.123175i
\(397\) −5.45961 −0.274010 −0.137005 0.990570i \(-0.543748\pi\)
−0.137005 + 0.990570i \(0.543748\pi\)
\(398\) −0.737469 0.290259i −0.0369660 0.0145494i
\(399\) 3.87138 3.21301i 0.193811 0.160852i
\(400\) −1.48959 + 1.00716i −0.0744794 + 0.0503580i
\(401\) 11.2952i 0.564055i −0.959406 0.282027i \(-0.908993\pi\)
0.959406 0.282027i \(-0.0910069\pi\)
\(402\) 18.1179 + 8.58723i 0.903640 + 0.428292i
\(403\) 0.943186i 0.0469834i
\(404\) 7.10405 7.62669i 0.353440 0.379442i
\(405\) −7.61049 + 19.5830i −0.378168 + 0.973085i
\(406\) 1.31247 3.33463i 0.0651368 0.165495i
\(407\) 1.73225 0.0858643
\(408\) 11.3044 7.98575i 0.559649 0.395353i
\(409\) 11.1793 + 19.3631i 0.552780 + 0.957442i 0.998073 + 0.0620574i \(0.0197662\pi\)
−0.445293 + 0.895385i \(0.646900\pi\)
\(410\) −9.94169 12.4913i −0.490985 0.616899i
\(411\) −12.3983 14.9388i −0.611564 0.736878i
\(412\) −15.7277 + 16.8848i −0.774848 + 0.831853i
\(413\) 8.80378 5.08286i 0.433206 0.250111i
\(414\) 8.16359 + 5.12156i 0.401218 + 0.251711i
\(415\) −18.4489 10.6515i −0.905622 0.522861i
\(416\) 0.539983 + 2.41973i 0.0264748 + 0.118637i
\(417\) 18.2338 + 21.9700i 0.892913 + 1.07588i
\(418\) 0.307623 + 2.05443i 0.0150463 + 0.100485i
\(419\) −6.56404 + 11.3693i −0.320675 + 0.555425i −0.980627 0.195882i \(-0.937243\pi\)
0.659953 + 0.751307i \(0.270576\pi\)
\(420\) −10.9871 0.629165i −0.536116 0.0307001i
\(421\) −16.7928 + 29.0860i −0.818431 + 1.41756i 0.0884074 + 0.996084i \(0.471822\pi\)
−0.906838 + 0.421479i \(0.861511\pi\)
\(422\) −25.4831 10.0298i −1.24050 0.488245i
\(423\) 1.41172 0.496627i 0.0686404 0.0241468i
\(424\) −10.4824 21.9295i −0.509070 1.06499i
\(425\) 1.09986 + 0.635004i 0.0533510 + 0.0308022i
\(426\) 2.96263 + 0.618570i 0.143540 + 0.0299698i
\(427\) 5.05145i 0.244457i
\(428\) 18.2619 5.59437i 0.882723 0.270414i
\(429\) −0.402011 + 0.333644i −0.0194093 + 0.0161085i
\(430\) 21.1315 3.16416i 1.01905 0.152589i
\(431\) 9.49216 + 16.4409i 0.457221 + 0.791930i 0.998813 0.0487115i \(-0.0155115\pi\)
−0.541592 + 0.840642i \(0.682178\pi\)
\(432\) −18.5415 9.39209i −0.892080 0.451877i
\(433\) −15.3534 26.5928i −0.737836 1.27797i −0.953468 0.301495i \(-0.902514\pi\)
0.215631 0.976475i \(-0.430819\pi\)
\(434\) −1.51691 + 3.85405i −0.0728139 + 0.185000i
\(435\) 7.06071 + 2.61315i 0.338535 + 0.125291i
\(436\) −13.4289 + 4.11382i −0.643128 + 0.197016i
\(437\) 4.19868 2.42411i 0.200850 0.115961i
\(438\) −7.21575 21.9383i −0.344782 1.04825i
\(439\) 24.4816 + 14.1344i 1.16844 + 0.674600i 0.953312 0.301986i \(-0.0976496\pi\)
0.215129 + 0.976586i \(0.430983\pi\)
\(440\) 2.57066 3.74705i 0.122551 0.178633i
\(441\) 11.7228 + 10.0543i 0.558230 + 0.478778i
\(442\) 1.37011 1.09046i 0.0651694 0.0518678i
\(443\) −12.7410 22.0680i −0.605341 1.04848i −0.991997 0.126258i \(-0.959703\pi\)
0.386656 0.922224i \(-0.373630\pi\)
\(444\) 3.92079 + 7.78798i 0.186073 + 0.369601i
\(445\) −21.7077 −1.02904
\(446\) 3.92603 + 26.2197i 0.185903 + 1.24154i
\(447\) 26.1234 + 31.4763i 1.23559 + 1.48878i
\(448\) 1.68512 10.7559i 0.0796145 0.508170i
\(449\) −2.09969 + 1.21225i −0.0990903 + 0.0572098i −0.548726 0.836002i \(-0.684887\pi\)
0.449636 + 0.893212i \(0.351554\pi\)
\(450\) 0.0699789 1.90591i 0.00329884 0.0898455i
\(451\) 2.88214 + 1.66401i 0.135715 + 0.0783550i
\(452\) 6.06270 6.50873i 0.285165 0.306145i
\(453\) −12.7061 + 2.16975i −0.596985 + 0.101944i
\(454\) −20.5107 25.7707i −0.962613 1.20948i
\(455\) −1.39235 −0.0652743
\(456\) −8.54021 + 6.03307i −0.399932 + 0.282524i
\(457\) 3.16390 + 5.48004i 0.148001 + 0.256346i 0.930489 0.366321i \(-0.119383\pi\)
−0.782487 + 0.622666i \(0.786049\pi\)
\(458\) −2.71829 + 6.90643i −0.127017 + 0.322716i
\(459\) −0.237793 + 14.6782i −0.0110992 + 0.685119i
\(460\) −10.3348 2.37990i −0.481862 0.110963i
\(461\) 13.3476i 0.621660i −0.950466 0.310830i \(-0.899393\pi\)
0.950466 0.310830i \(-0.100607\pi\)
\(462\) 2.17929 0.716793i 0.101390 0.0333482i
\(463\) 15.8257 + 9.13696i 0.735481 + 0.424630i 0.820424 0.571756i \(-0.193737\pi\)
−0.0849428 + 0.996386i \(0.527071\pi\)
\(464\) −3.25754 + 6.69791i −0.151227 + 0.310942i
\(465\) −8.16053 3.02019i −0.378435 0.140058i
\(466\) 7.35381 5.85284i 0.340659 0.271127i
\(467\) 7.99133 13.8414i 0.369795 0.640503i −0.619739 0.784808i \(-0.712761\pi\)
0.989533 + 0.144305i \(0.0460947\pi\)
\(468\) −2.40994 1.05222i −0.111400 0.0486387i
\(469\) −8.07141 7.67713i −0.372703 0.354497i
\(470\) −1.28857 + 1.02556i −0.0594371 + 0.0473055i
\(471\) 0.0792198 + 0.463912i 0.00365026 + 0.0213760i
\(472\) −19.0623 + 9.11182i −0.877411 + 0.419406i
\(473\) −3.85748 + 2.22712i −0.177367 + 0.102403i
\(474\) −2.45644 + 11.7651i −0.112828 + 0.540388i
\(475\) −0.830921 0.479733i −0.0381253 0.0220116i
\(476\) −7.35230 + 2.25231i −0.336992 + 0.103235i
\(477\) 25.3390 + 4.75065i 1.16019 + 0.217517i
\(478\) −17.1229 21.5142i −0.783185 0.984035i
\(479\) 3.17155 5.49329i 0.144912 0.250995i −0.784428 0.620220i \(-0.787043\pi\)
0.929340 + 0.369225i \(0.120377\pi\)
\(480\) 22.6648 + 3.07626i 1.03450 + 0.140411i
\(481\) 0.551573 + 0.955352i 0.0251496 + 0.0435603i
\(482\) −3.69007 + 0.552537i −0.168078 + 0.0251674i
\(483\) −3.41943 4.12010i −0.155589 0.187471i
\(484\) 4.72439 20.5158i 0.214745 0.932536i
\(485\) −20.3558 11.7525i −0.924311 0.533651i
\(486\) 19.6480 9.99781i 0.891251 0.453510i
\(487\) 4.65732 + 2.68891i 0.211043 + 0.121846i 0.601796 0.798650i \(-0.294452\pi\)
−0.390753 + 0.920496i \(0.627785\pi\)
\(488\) 0.814961 10.4671i 0.0368916 0.473822i
\(489\) −3.76457 + 10.1718i −0.170240 + 0.459986i
\(490\) −15.8145 6.22441i −0.714428 0.281190i
\(491\) 28.7817 1.29890 0.649449 0.760405i \(-0.275000\pi\)
0.649449 + 0.760405i \(0.275000\pi\)
\(492\) −0.957691 + 16.7241i −0.0431760 + 0.753982i
\(493\) 5.26054 0.236923
\(494\) −1.03509 + 0.823818i −0.0465708 + 0.0370653i
\(495\) 1.59944 + 4.54660i 0.0718893 + 0.204354i
\(496\) 3.76495 7.74121i 0.169051 0.347591i
\(497\) −1.45621 0.840741i −0.0653197 0.0377124i
\(498\) 6.98409 + 21.2340i 0.312964 + 0.951517i
\(499\) 17.5864 + 10.1535i 0.787276 + 0.454534i 0.839003 0.544127i \(-0.183139\pi\)
−0.0517268 + 0.998661i \(0.516473\pi\)
\(500\) −6.22290 20.3136i −0.278297 0.908454i
\(501\) 8.83905 + 3.27131i 0.394900 + 0.146151i
\(502\) −7.82726 + 19.8869i −0.349348 + 0.887597i
\(503\) −16.0611 27.8186i −0.716129 1.24037i −0.962523 0.271201i \(-0.912579\pi\)
0.246394 0.969170i \(-0.420754\pi\)
\(504\) 8.15526 + 8.17544i 0.363264 + 0.364163i
\(505\) −6.08278 10.5357i −0.270680 0.468832i
\(506\) 2.18642 0.327386i 0.0971982 0.0145541i
\(507\) 20.8048 + 7.69981i 0.923975 + 0.341961i
\(508\) 12.6410 13.5710i 0.560855 0.602116i
\(509\) 18.7998i 0.833288i 0.909070 + 0.416644i \(0.136794\pi\)
−0.909070 + 0.416644i \(0.863206\pi\)
\(510\) −5.04749 15.3461i −0.223507 0.679535i
\(511\) 12.8309i 0.567605i
\(512\) −5.22700 + 22.0154i −0.231003 + 0.972953i
\(513\) 0.179648 11.0891i 0.00793164 0.489594i
\(514\) 16.8689 13.4258i 0.744055 0.592187i
\(515\) 13.4667 + 23.3250i 0.593414 + 1.02782i
\(516\) −18.7439 12.3019i −0.825155 0.541560i
\(517\) 0.171655 0.297315i 0.00754936 0.0130759i
\(518\) −0.717363 4.79085i −0.0315191 0.210498i
\(519\) 35.4500 6.05360i 1.55608 0.265724i
\(520\) 2.88507 + 0.224630i 0.126519 + 0.00985070i
\(521\) 29.5798i 1.29592i −0.761676 0.647958i \(-0.775623\pi\)
0.761676 0.647958i \(-0.224377\pi\)
\(522\) −3.69624 6.98180i −0.161780 0.305585i
\(523\) 22.0579 + 12.7352i 0.964526 + 0.556869i 0.897563 0.440886i \(-0.145336\pi\)
0.0669629 + 0.997755i \(0.478669\pi\)
\(524\) 25.9923 7.96252i 1.13548 0.347844i
\(525\) −0.367777 + 0.993731i −0.0160511 + 0.0433700i
\(526\) 6.27035 0.938899i 0.273400 0.0409379i
\(527\) −6.07995 −0.264847
\(528\) −4.63133 + 1.13367i −0.201553 + 0.0493367i
\(529\) 8.92015 + 15.4502i 0.387833 + 0.671746i
\(530\) −28.0575 + 4.20123i −1.21874 + 0.182490i
\(531\) 4.12950 22.0259i 0.179205 0.955844i
\(532\) 5.55451 1.70158i 0.240819 0.0737726i
\(533\) 2.11938i 0.0918004i
\(534\) 16.9820 + 15.1801i 0.734883 + 0.656908i
\(535\) 22.2933i 0.963822i
\(536\) 15.4861 + 17.2099i 0.668899 + 0.743354i
\(537\) 29.0036 24.0712i 1.25160 1.03875i
\(538\) 0.430885 + 2.87762i 0.0185768 + 0.124063i
\(539\) 3.54289 0.152603
\(540\) −16.8208 + 17.4817i −0.723851 + 0.752294i
\(541\) −25.5752 −1.09956 −0.549781 0.835309i \(-0.685289\pi\)
−0.549781 + 0.835309i \(0.685289\pi\)
\(542\) −3.05959 20.4332i −0.131421 0.877682i
\(543\) 7.65131 + 2.83173i 0.328349 + 0.121521i
\(544\) 15.5980 3.48083i 0.668759 0.149239i
\(545\) 16.3934i 0.702214i
\(546\) 1.08924 + 0.973664i 0.0466151 + 0.0416690i
\(547\) −1.35598 + 0.782873i −0.0579773 + 0.0334732i −0.528708 0.848803i \(-0.677324\pi\)
0.470731 + 0.882277i \(0.343990\pi\)
\(548\) −6.56602 21.4337i −0.280486 0.915602i
\(549\) 8.45257 + 7.24953i 0.360747 + 0.309402i
\(550\) −0.272457 0.342329i −0.0116176 0.0145969i
\(551\) −3.97423 −0.169308
\(552\) 6.42067 + 9.08888i 0.273282 + 0.386848i
\(553\) 3.33871 5.78281i 0.141976 0.245910i
\(554\) −45.1952 + 6.76736i −1.92016 + 0.287517i
\(555\) 10.0320 1.71311i 0.425834 0.0727174i
\(556\) 9.65642 + 31.5218i 0.409523 + 1.33682i
\(557\) −31.9811 + 18.4643i −1.35508 + 0.782358i −0.988956 0.148207i \(-0.952650\pi\)
−0.366127 + 0.930565i \(0.619316\pi\)
\(558\) 4.27199 + 8.06933i 0.180848 + 0.341602i
\(559\) −2.45656 1.41829i −0.103901 0.0599874i
\(560\) −11.4277 5.55789i −0.482909 0.234864i
\(561\) 2.15073 + 2.59144i 0.0908041 + 0.109410i
\(562\) −21.9017 8.62025i −0.923867 0.363623i
\(563\) −10.1253 −0.426731 −0.213365 0.976972i \(-0.568442\pi\)
−0.213365 + 0.976972i \(0.568442\pi\)
\(564\) 1.72522 + 0.0987929i 0.0726448 + 0.00415993i
\(565\) −5.19114 8.99131i −0.218393 0.378267i
\(566\) 2.67386 + 17.8571i 0.112391 + 0.750590i
\(567\) −12.1051 + 1.86585i −0.508366 + 0.0783583i
\(568\) 2.88175 + 1.97702i 0.120916 + 0.0829541i
\(569\) −14.0964 + 8.13855i −0.590951 + 0.341186i −0.765473 0.643467i \(-0.777495\pi\)
0.174522 + 0.984653i \(0.444162\pi\)
\(570\) 3.81327 + 11.5936i 0.159720 + 0.485604i
\(571\) −39.2190 + 22.6431i −1.64126 + 0.947584i −0.660878 + 0.750494i \(0.729816\pi\)
−0.980385 + 0.197090i \(0.936851\pi\)
\(572\) −0.576790 + 0.176695i −0.0241168 + 0.00738797i
\(573\) 1.74195 + 10.2009i 0.0727711 + 0.426148i
\(574\) 3.40855 8.66021i 0.142270 0.361470i
\(575\) −0.510553 + 0.884304i −0.0212915 + 0.0368780i
\(576\) −15.5795 18.2560i −0.649145 0.760665i
\(577\) 5.02915 + 8.71075i 0.209366 + 0.362633i 0.951515 0.307602i \(-0.0995265\pi\)
−0.742149 + 0.670235i \(0.766193\pi\)
\(578\) 7.94222 + 9.97903i 0.330353 + 0.415073i
\(579\) −6.05468 + 5.02502i −0.251624 + 0.208833i
\(580\) 6.36130 + 5.92537i 0.264138 + 0.246038i
\(581\) 12.4190i 0.515225i
\(582\) 7.70597 + 23.4287i 0.319423 + 0.971152i
\(583\) 5.12179 2.95706i 0.212123 0.122469i
\(584\) 2.07003 26.5868i 0.0856586 1.10017i
\(585\) −1.99821 + 2.32981i −0.0826159 + 0.0963258i
\(586\) −4.71811 31.5094i −0.194903 1.30164i
\(587\) −12.8346 + 22.2301i −0.529739 + 0.917535i 0.469659 + 0.882848i \(0.344377\pi\)
−0.999398 + 0.0346872i \(0.988956\pi\)
\(588\) 8.01903 + 15.9284i 0.330699 + 0.656877i
\(589\) 4.59328 0.189263
\(590\) 3.65192 + 24.3890i 0.150347 + 1.00408i
\(591\) −11.5054 + 31.0875i −0.473270 + 1.27877i
\(592\) 0.713525 + 10.0428i 0.0293257 + 0.412757i
\(593\) −32.8155 18.9460i −1.34757 0.778020i −0.359665 0.933082i \(-0.617109\pi\)
−0.987905 + 0.155062i \(0.950442\pi\)
\(594\) 1.92818 4.67529i 0.0791140 0.191830i
\(595\) 8.97534i 0.367953i
\(596\) 13.8347 + 45.1610i 0.566690 + 1.84987i
\(597\) 0.956803 0.163388i 0.0391593 0.00668703i
\(598\) 0.876745 + 1.10159i 0.0358528 + 0.0450473i
\(599\) 10.0690 + 17.4399i 0.411406 + 0.712577i 0.995044 0.0994377i \(-0.0317044\pi\)
−0.583637 + 0.812014i \(0.698371\pi\)
\(600\) 0.922388 1.99977i 0.0376563 0.0816401i
\(601\) 13.5387 23.4497i 0.552254 0.956532i −0.445858 0.895104i \(-0.647101\pi\)
0.998112 0.0614277i \(-0.0195654\pi\)
\(602\) 7.75697 + 9.74626i 0.316150 + 0.397228i
\(603\) −24.4297 + 2.48811i −0.994853 + 0.101324i
\(604\) −14.5045 3.34011i −0.590180 0.135907i
\(605\) −21.2808 12.2865i −0.865189 0.499517i
\(606\) −2.60900 + 12.4958i −0.105983 + 0.507606i
\(607\) −2.70720 + 1.56300i −0.109882 + 0.0634402i −0.553934 0.832561i \(-0.686874\pi\)
0.444052 + 0.896001i \(0.353541\pi\)
\(608\) −11.7840 + 2.62970i −0.477903 + 0.106648i
\(609\) 0.738795 + 4.32639i 0.0299375 + 0.175314i
\(610\) −11.4028 4.48802i −0.461687 0.181715i
\(611\) 0.218630 0.00884480
\(612\) −6.78279 + 15.5349i −0.274178 + 0.627963i
\(613\) −19.3265 + 33.4745i −0.780590 + 1.35202i 0.151009 + 0.988532i \(0.451748\pi\)
−0.931599 + 0.363489i \(0.881586\pi\)
\(614\) 19.8597 + 7.81653i 0.801470 + 0.315449i
\(615\) 18.3370 + 6.78649i 0.739420 + 0.273658i
\(616\) 2.64106 + 0.205632i 0.106411 + 0.00828513i
\(617\) 0.936369i 0.0376968i −0.999822 0.0188484i \(-0.994000\pi\)
0.999822 0.0188484i \(-0.00599999\pi\)
\(618\) 5.77607 27.6644i 0.232348 1.11283i
\(619\) 5.82574 + 3.36349i 0.234156 + 0.135190i 0.612488 0.790480i \(-0.290169\pi\)
−0.378332 + 0.925670i \(0.623502\pi\)
\(620\) −7.35217 6.84835i −0.295270 0.275036i
\(621\) −11.8015 0.191189i −0.473578 0.00767217i
\(622\) −9.52371 + 1.42605i −0.381866 + 0.0571792i
\(623\) −6.32745 10.9595i −0.253504 0.439081i
\(624\) −2.09991 2.19325i −0.0840639 0.0878003i
\(625\) −27.0456 −1.08182
\(626\) −8.02916 + 1.20226i −0.320910 + 0.0480518i
\(627\) −1.62484 1.95778i −0.0648897 0.0781860i
\(628\) −0.121951 + 0.529574i −0.00486636 + 0.0211323i
\(629\) 6.15838 3.55554i 0.245551 0.141769i
\(630\) 11.9121 6.30639i 0.474589 0.251253i
\(631\) −14.2327 8.21726i −0.566595 0.327124i 0.189193 0.981940i \(-0.439413\pi\)
−0.755788 + 0.654816i \(0.772746\pi\)
\(632\) −7.85106 + 11.4439i −0.312298 + 0.455213i
\(633\) 33.0621 5.64584i 1.31410 0.224402i
\(634\) −19.9265 7.84284i −0.791383 0.311479i
\(635\) −10.8238 18.7473i −0.429528 0.743964i
\(636\) 24.8874 + 16.3339i 0.986848 + 0.647681i
\(637\) 1.12811 + 1.95394i 0.0446973 + 0.0774179i
\(638\) −1.68634 0.663723i −0.0667628 0.0262770i
\(639\) −3.49666 + 1.23008i −0.138326 + 0.0486613i
\(640\) 22.7826 + 13.3601i 0.900562 + 0.528105i
\(641\) 13.0413 7.52942i 0.515102 0.297394i −0.219826 0.975539i \(-0.570549\pi\)
0.734928 + 0.678145i \(0.237216\pi\)
\(642\) −15.5896 + 17.4401i −0.615273 + 0.688305i
\(643\) 13.5056i 0.532609i −0.963889 0.266305i \(-0.914197\pi\)
0.963889 0.266305i \(-0.0858027\pi\)
\(644\) −1.81089 5.91137i −0.0713592 0.232941i
\(645\) −20.1374 + 16.7128i −0.792908 + 0.658065i
\(646\) 5.31049 + 6.67237i 0.208938 + 0.262521i
\(647\) −9.41677 + 16.3103i −0.370211 + 0.641225i −0.989598 0.143861i \(-0.954048\pi\)
0.619386 + 0.785086i \(0.287381\pi\)
\(648\) 25.3838 1.91327i 0.997171 0.0751605i
\(649\) −2.57043 4.45212i −0.100898 0.174761i
\(650\) 0.102044 0.259265i 0.00400248 0.0101692i
\(651\) −0.853874 5.00030i −0.0334660 0.195977i
\(652\) −8.53624 + 9.16425i −0.334305 + 0.358900i
\(653\) 4.78554 + 2.76293i 0.187273 + 0.108122i 0.590705 0.806888i \(-0.298850\pi\)
−0.403433 + 0.915009i \(0.632183\pi\)
\(654\) 11.4638 12.8246i 0.448271 0.501480i
\(655\) 31.7302i 1.23980i
\(656\) −8.46000 + 17.3948i −0.330308 + 0.679154i
\(657\) 21.4699 + 18.4141i 0.837619 + 0.718402i
\(658\) −0.893365 0.351618i −0.0348270 0.0137075i
\(659\) 13.9186 + 24.1077i 0.542190 + 0.939101i 0.998778 + 0.0494228i \(0.0157382\pi\)
−0.456588 + 0.889678i \(0.650928\pi\)
\(660\) −0.318172 + 5.55623i −0.0123848 + 0.216276i
\(661\) −17.5366 −0.682096 −0.341048 0.940046i \(-0.610782\pi\)
−0.341048 + 0.940046i \(0.610782\pi\)
\(662\) 3.25096 2.58741i 0.126352 0.100563i
\(663\) −0.744378 + 2.01130i −0.0289093 + 0.0781126i
\(664\) −2.00357 + 25.7332i −0.0777538 + 0.998642i
\(665\) 6.78068i 0.262944i
\(666\) −9.04601 5.67516i −0.350526 0.219908i
\(667\) 4.22956i 0.163769i
\(668\) 7.96349 + 7.41777i 0.308117 + 0.287002i
\(669\) −20.7370 24.9861i −0.801737 0.966019i
\(670\) 24.5010 11.3991i 0.946556 0.440384i
\(671\) 2.55455 0.0986171
\(672\) 5.05332 + 12.3393i 0.194936 + 0.476000i
\(673\) 8.68392 0.334741 0.167370 0.985894i \(-0.446472\pi\)
0.167370 + 0.985894i \(0.446472\pi\)
\(674\) −15.2252 + 38.6830i −0.586452 + 1.49001i
\(675\) 1.13499 + 2.04154i 0.0436859 + 0.0785789i
\(676\) 18.7440 + 17.4595i 0.720922 + 0.671519i
\(677\) −27.8950 + 16.1052i −1.07209 + 0.618974i −0.928753 0.370700i \(-0.879118\pi\)
−0.143341 + 0.989673i \(0.545785\pi\)
\(678\) −2.22656 + 10.6641i −0.0855104 + 0.409551i
\(679\) 13.7026i 0.525857i
\(680\) 1.44801 18.5977i 0.0555286 0.713190i
\(681\) 37.8310 + 14.0012i 1.44969 + 0.536526i
\(682\) 1.94901 + 0.767109i 0.0746316 + 0.0293741i
\(683\) 1.00609 1.74260i 0.0384970 0.0666788i −0.846135 0.532969i \(-0.821076\pi\)
0.884632 + 0.466290i \(0.154410\pi\)
\(684\) 5.12426 11.7363i 0.195931 0.448750i
\(685\) −26.1652 −0.999722
\(686\) −3.46222 23.1221i −0.132188 0.882807i
\(687\) −1.53014 8.96049i −0.0583783 0.341864i
\(688\) −14.5008 21.4466i −0.552836 0.817644i
\(689\) 3.26171 + 1.88315i 0.124261 + 0.0717422i
\(690\) 12.3385 4.05826i 0.469718 0.154495i
\(691\) 4.85015 2.80024i 0.184508 0.106526i −0.404901 0.914361i \(-0.632694\pi\)
0.589409 + 0.807835i \(0.299361\pi\)
\(692\) 40.4675 + 9.31888i 1.53834 + 0.354251i
\(693\) −1.82921 + 2.13276i −0.0694858 + 0.0810168i
\(694\) 26.7337 + 33.5896i 1.01480 + 1.27504i
\(695\) 38.4803 1.45964
\(696\) −0.832864 9.08386i −0.0315696 0.344323i
\(697\) 13.6619 0.517481
\(698\) 7.95462 1.19110i 0.301087 0.0450836i
\(699\) −3.99532 + 10.7953i −0.151117 + 0.408316i
\(700\) −0.833943 + 0.895295i −0.0315201 + 0.0338390i
\(701\) 4.28034 2.47126i 0.161666 0.0933380i −0.416984 0.908914i \(-0.636913\pi\)
0.578650 + 0.815576i \(0.303580\pi\)
\(702\) 3.19243 0.425273i 0.120491 0.0160509i
\(703\) −4.65253 + 2.68614i −0.175473 + 0.101310i
\(704\) −5.43933 0.852174i −0.205003 0.0321175i
\(705\) 0.700076 1.89160i 0.0263664 0.0712418i
\(706\) 1.80703 + 0.711224i 0.0680083 + 0.0267673i
\(707\) 3.54606 6.14196i 0.133363 0.230992i
\(708\) 14.1982 21.6334i 0.533603 0.813031i
\(709\) −24.0140 + 41.5934i −0.901864 + 1.56207i −0.0767920 + 0.997047i \(0.524468\pi\)
−0.825072 + 0.565027i \(0.808866\pi\)
\(710\) 3.19162 2.54018i 0.119779 0.0953313i
\(711\) −4.88484 13.8858i −0.183196 0.520757i
\(712\) 11.3429 + 23.7298i 0.425094 + 0.889312i
\(713\) 4.88838i 0.183071i
\(714\) 6.27642 7.02143i 0.234889 0.262770i
\(715\) 0.704118i 0.0263325i
\(716\) 41.6133 12.7479i 1.55516 0.476410i
\(717\) 31.5826 + 11.6886i 1.17947 + 0.436519i
\(718\) 47.2553 7.07583i 1.76355 0.264068i
\(719\) −5.95805 + 10.3196i −0.222198 + 0.384858i −0.955475 0.295072i \(-0.904656\pi\)
0.733277 + 0.679930i \(0.237990\pi\)
\(720\) −25.7003 + 11.1456i −0.957795 + 0.415372i
\(721\) −7.85065 + 13.5977i −0.292373 + 0.506406i
\(722\) 12.7209 + 15.9832i 0.473423 + 0.594834i
\(723\) 3.51646 2.91845i 0.130779 0.108538i
\(724\) 6.89340 + 6.42101i 0.256191 + 0.238635i
\(725\) 0.724891 0.418516i 0.0269218 0.0155433i
\(726\) 8.05614 + 24.4934i 0.298991 + 0.909034i
\(727\) −28.6734 16.5546i −1.06344 0.613977i −0.137058 0.990563i \(-0.543765\pi\)
−0.926382 + 0.376586i \(0.877098\pi\)
\(728\) 0.727544 + 1.52205i 0.0269646 + 0.0564108i
\(729\) −14.2503 + 22.9331i −0.527790 + 0.849375i
\(730\) −28.9636 11.3997i −1.07199 0.421924i
\(731\) −9.14258 + 15.8354i −0.338151 + 0.585694i
\(732\) 5.78200 + 11.4849i 0.213709 + 0.424496i
\(733\) −8.06181 13.9635i −0.297770 0.515752i 0.677856 0.735195i \(-0.262909\pi\)
−0.975625 + 0.219443i \(0.929576\pi\)
\(734\) 16.1043 12.8172i 0.594419 0.473093i
\(735\) 20.5180 3.50375i 0.756817 0.129238i
\(736\) 2.79864 + 12.5410i 0.103159 + 0.462269i
\(737\) −3.88236 + 4.08175i −0.143009 + 0.150353i
\(738\) −9.59933 18.1321i −0.353356 0.667452i
\(739\) −27.8636 16.0871i −1.02498 0.591772i −0.109437 0.993994i \(-0.534905\pi\)
−0.915542 + 0.402222i \(0.868238\pi\)
\(740\) 11.4519 + 2.63715i 0.420980 + 0.0969436i
\(741\) 0.562362 1.51950i 0.0206589 0.0558202i
\(742\) −10.2994 12.9407i −0.378101 0.475066i
\(743\) 21.3745 37.0217i 0.784155 1.35820i −0.145348 0.989381i \(-0.546430\pi\)
0.929503 0.368815i \(-0.120237\pi\)
\(744\) 0.962596 + 10.4988i 0.0352905 + 0.384906i
\(745\) 55.1304 2.01982
\(746\) 27.6138 + 34.6954i 1.01101 + 1.27029i
\(747\) −20.7806 17.8229i −0.760321 0.652106i
\(748\) 1.13901 + 3.71810i 0.0416462 + 0.135947i
\(749\) 11.2551 6.49813i 0.411252 0.237436i
\(750\) 19.3995 + 17.3411i 0.708368 + 0.633207i
\(751\) 25.6444i 0.935776i −0.883788 0.467888i \(-0.845015\pi\)
0.883788 0.467888i \(-0.154985\pi\)
\(752\) 1.79440 + 0.872712i 0.0654352 + 0.0318245i
\(753\) −4.40600 25.8016i −0.160563 0.940261i
\(754\) −0.170905 1.14137i −0.00622399 0.0415663i
\(755\) −8.68646 + 15.0454i −0.316133 + 0.547558i
\(756\) −13.7289 3.39658i −0.499315 0.123532i
\(757\) −0.236350 0.409370i −0.00859028 0.0148788i 0.861698 0.507421i \(-0.169401\pi\)
−0.870289 + 0.492542i \(0.836068\pi\)
\(758\) −41.9474 16.5100i −1.52360 0.599671i
\(759\) −2.08355 + 1.72922i −0.0756282 + 0.0627669i
\(760\) −1.09394 + 14.0502i −0.0396814 + 0.509654i
\(761\) 21.8514i 0.792112i −0.918226 0.396056i \(-0.870379\pi\)
0.918226 0.396056i \(-0.129621\pi\)
\(762\) −4.64248 + 22.2351i −0.168179 + 0.805492i
\(763\) −8.27642 + 4.77840i −0.299627 + 0.172990i
\(764\) −2.68155 + 11.6447i −0.0970151 + 0.421291i
\(765\) 15.0184 + 12.8808i 0.542991 + 0.465708i
\(766\) −11.9017 + 30.2389i −0.430025 + 1.09257i
\(767\) 1.63693 2.83524i 0.0591060 0.102375i
\(768\) −8.48020 26.3834i −0.306003 0.952031i
\(769\) −21.8117 37.7791i −0.786552 1.36235i −0.928068 0.372412i \(-0.878531\pi\)
0.141516 0.989936i \(-0.454802\pi\)
\(770\) 1.13242 2.87717i 0.0408096 0.103686i
\(771\) −9.16485 + 24.7633i −0.330064 + 0.891830i
\(772\) −8.68703 + 2.66119i −0.312653 + 0.0957785i
\(773\) −19.4600 + 11.2352i −0.699928 + 0.404104i −0.807321 0.590113i \(-0.799083\pi\)
0.107393 + 0.994217i \(0.465750\pi\)
\(774\) 27.4407 + 1.00753i 0.986335 + 0.0362150i
\(775\) −0.837804 + 0.483707i −0.0300948 + 0.0173753i
\(776\) −2.21067 + 28.3930i −0.0793583 + 1.01925i
\(777\) 3.78905 + 4.56545i 0.135931 + 0.163785i
\(778\) −23.2866 9.16533i −0.834865 0.328593i
\(779\) −10.3213 −0.369798
\(780\) −3.16563 + 1.59371i −0.113348 + 0.0570640i
\(781\) −0.425167 + 0.736411i −0.0152137 + 0.0263508i
\(782\) 7.10105 5.65166i 0.253933 0.202103i
\(783\) 8.29960 + 4.97275i 0.296603 + 0.177711i
\(784\) 1.45934 + 20.5401i 0.0521193 + 0.733575i
\(785\) 0.549322 + 0.317151i 0.0196061 + 0.0113196i
\(786\) −22.1888 + 24.8226i −0.791449 + 0.885393i
\(787\) 36.0418 + 20.8087i 1.28475 + 0.741752i 0.977713 0.209945i \(-0.0673286\pi\)
0.307038 + 0.951697i \(0.400662\pi\)
\(788\) −26.0888 + 28.0081i −0.929375 + 0.997748i
\(789\) −5.97535 + 4.95918i −0.212728 + 0.176551i
\(790\) 10.0874 + 12.6744i 0.358895 + 0.450935i
\(791\) 3.02626 5.24164i 0.107602 0.186371i
\(792\) 4.13436 4.12416i 0.146908 0.146546i
\(793\) 0.813405 + 1.40886i 0.0288849 + 0.0500301i
\(794\) 7.63592 1.14337i 0.270989 0.0405768i
\(795\) 26.7375 22.1905i 0.948281 0.787016i
\(796\) 1.09223 + 0.251519i 0.0387130 + 0.00891484i
\(797\) 37.8132 21.8314i 1.33941 0.773310i 0.352691 0.935740i \(-0.385267\pi\)
0.986720 + 0.162430i \(0.0519332\pi\)
\(798\) −4.74171 + 5.30454i −0.167855 + 0.187779i
\(799\) 1.40933i 0.0498584i
\(800\) 1.87244 1.72059i 0.0662009 0.0608321i
\(801\) −27.4192 5.14065i −0.968808 0.181636i
\(802\) 2.36549 + 15.7977i 0.0835283 + 0.557836i
\(803\) 6.48865 0.228979
\(804\) −27.1385 8.21595i −0.957101 0.289754i
\(805\) −7.21631 −0.254342
\(806\) 0.197526 + 1.31916i 0.00695756 + 0.0464654i
\(807\) −2.27589 2.74224i −0.0801152 0.0965314i
\(808\) −8.33866 + 12.1546i −0.293353 + 0.427598i
\(809\) 6.02792i 0.211930i 0.994370 + 0.105965i \(0.0337932\pi\)
−0.994370 + 0.105965i \(0.966207\pi\)
\(810\) 6.54304 28.9830i 0.229899 1.01836i
\(811\) −25.2476 + 14.5767i −0.886561 + 0.511856i −0.872816 0.488049i \(-0.837709\pi\)
−0.0137452 + 0.999906i \(0.504375\pi\)
\(812\) −1.13730 + 4.93874i −0.0399113 + 0.173316i
\(813\) 16.1605 + 19.4719i 0.566773 + 0.682909i
\(814\) −2.42276 + 0.362774i −0.0849176 + 0.0127152i
\(815\) 7.30909 + 12.6597i 0.256026 + 0.443450i
\(816\) −14.1381 + 13.5364i −0.494932 + 0.473870i
\(817\) 6.90703 11.9633i 0.241646 0.418544i
\(818\) −19.6907 24.7404i −0.688468 0.865028i
\(819\) −1.75868 0.329725i −0.0614534 0.0115215i
\(820\) 16.5206 + 15.3885i 0.576925 + 0.537390i
\(821\) −30.9189 17.8510i −1.07908 0.623005i −0.148429 0.988923i \(-0.547422\pi\)
−0.930647 + 0.365918i \(0.880755\pi\)
\(822\) 20.4691 + 18.2972i 0.713942 + 0.638190i
\(823\) −22.5484 13.0183i −0.785988 0.453790i 0.0525602 0.998618i \(-0.483262\pi\)
−0.838548 + 0.544827i \(0.816595\pi\)
\(824\) 18.4610 26.9091i 0.643120 0.937425i
\(825\) 0.502535 + 0.185987i 0.0174960 + 0.00647523i
\(826\) −11.2487 + 8.95273i −0.391391 + 0.311505i
\(827\) −1.63635 + 2.83425i −0.0569016 + 0.0985564i −0.893073 0.449912i \(-0.851455\pi\)
0.836171 + 0.548468i \(0.184789\pi\)
\(828\) −12.4903 5.45347i −0.434069 0.189521i
\(829\) 0.773938 0.0268800 0.0134400 0.999910i \(-0.495722\pi\)
0.0134400 + 0.999910i \(0.495722\pi\)
\(830\) 28.0338 + 11.0338i 0.973066 + 0.382987i
\(831\) 43.0689 35.7446i 1.49404 1.23996i
\(832\) −1.26198 3.27120i −0.0437513 0.113408i
\(833\) 12.5955 7.27199i 0.436407 0.251960i
\(834\) −30.1032 26.9091i −1.04239 0.931788i
\(835\) 11.0010 6.35140i 0.380704 0.219799i
\(836\) −0.860495 2.80895i −0.0297609 0.0971495i
\(837\) −9.59240 5.74733i −0.331562 0.198657i
\(838\) 6.79961 17.2760i 0.234889 0.596788i
\(839\) 8.29073 + 14.3600i 0.286228 + 0.495761i 0.972906 0.231200i \(-0.0742652\pi\)
−0.686678 + 0.726961i \(0.740932\pi\)
\(840\) 15.4986 1.42100i 0.534751 0.0490292i
\(841\) −12.7665 + 22.1121i −0.440223 + 0.762488i
\(842\) 17.3954 44.1971i 0.599487 1.52313i
\(843\) 28.4155 4.85237i 0.978683 0.167125i
\(844\) 37.7417 + 8.69118i 1.29912 + 0.299163i
\(845\) 25.8934 14.9495i 0.890759 0.514280i
\(846\) −1.87046 + 0.990242i −0.0643078 + 0.0340452i
\(847\) 14.3253i 0.492222i
\(848\) 19.2535 + 28.4758i 0.661167 + 0.977864i
\(849\) −14.1231 17.0170i −0.484702 0.584021i
\(850\) −1.67127 0.657793i −0.0573242 0.0225621i
\(851\) 2.85871 + 4.95143i 0.0979954 + 0.169733i
\(852\) −4.27315 0.244698i −0.146396 0.00838320i
\(853\) 25.2666 43.7630i 0.865111 1.49842i −0.00182505 0.999998i \(-0.500581\pi\)
0.866936 0.498419i \(-0.166086\pi\)
\(854\) −1.05790 7.06507i −0.0362005 0.241762i
\(855\) −11.3461 9.73121i −0.388028 0.332800i
\(856\) −24.3699 + 11.6489i −0.832946 + 0.398151i
\(857\) 18.2387i 0.623023i −0.950242 0.311512i \(-0.899165\pi\)
0.950242 0.311512i \(-0.100835\pi\)
\(858\) 0.492387 0.550833i 0.0168098 0.0188051i
\(859\) −33.1695 + 19.1504i −1.13173 + 0.653405i −0.944370 0.328886i \(-0.893327\pi\)
−0.187361 + 0.982291i \(0.559993\pi\)
\(860\) −28.8924 + 8.85091i −0.985221 + 0.301814i
\(861\) 1.91869 + 11.2359i 0.0653888 + 0.382917i
\(862\) −16.7191 21.0067i −0.569453 0.715491i
\(863\) −10.4245 −0.354855 −0.177427 0.984134i \(-0.556777\pi\)
−0.177427 + 0.984134i \(0.556777\pi\)
\(864\) 27.8995 + 9.25293i 0.949161 + 0.314791i
\(865\) 24.2352 41.9766i 0.824021 1.42725i
\(866\) 27.0428 + 33.9779i 0.918950 + 1.15462i
\(867\) −14.6491 5.42159i −0.497509 0.184127i
\(868\) 1.31445 5.70803i 0.0446153 0.193743i
\(869\) −2.92440 1.68840i −0.0992034 0.0572751i
\(870\) −10.4225 2.17612i −0.353356 0.0737774i
\(871\) −3.48733 0.841474i −0.118164 0.0285122i
\(872\) 17.9204 8.56602i 0.606862 0.290082i
\(873\) −22.9285 19.6651i −0.776011 0.665563i
\(874\) −5.36469 + 4.26971i −0.181463 + 0.144425i
\(875\) −7.22819 12.5196i −0.244357 0.423240i
\(876\) 14.6865 + 29.1722i 0.496211 + 0.985638i
\(877\) −23.7377 + 41.1150i −0.801567 + 1.38835i 0.117018 + 0.993130i \(0.462667\pi\)
−0.918585 + 0.395224i \(0.870667\pi\)
\(878\) −37.2005 14.6417i −1.25546 0.494133i
\(879\) 24.9206 + 30.0270i 0.840551 + 1.01279i
\(880\) −2.81066 + 5.77906i −0.0947472 + 0.194812i
\(881\) −35.0753 20.2508i −1.18172 0.682265i −0.225307 0.974288i \(-0.572338\pi\)
−0.956411 + 0.292023i \(0.905672\pi\)
\(882\) −18.5014 11.6072i −0.622975 0.390834i
\(883\) 38.7774 22.3882i 1.30496 0.753421i 0.323713 0.946155i \(-0.395069\pi\)
0.981251 + 0.192734i \(0.0617354\pi\)
\(884\) −1.68789 + 1.81207i −0.0567700 + 0.0609466i
\(885\) −19.2891 23.2416i −0.648396 0.781257i
\(886\) 22.4414 + 28.1965i 0.753932 + 0.947280i
\(887\) 17.1003 29.6186i 0.574171 0.994494i −0.421960 0.906615i \(-0.638658\pi\)
0.996131 0.0878793i \(-0.0280090\pi\)
\(888\) −7.11470 10.0713i −0.238754 0.337972i
\(889\) 6.30990 10.9291i 0.211627 0.366549i
\(890\) 30.3609 4.54612i 1.01770 0.152386i
\(891\) 0.943570 + 6.12160i 0.0316108 + 0.205081i
\(892\) −10.9821 35.8492i −0.367707 1.20032i
\(893\) 1.06472i 0.0356294i
\(894\) −43.1286 38.5525i −1.44244 1.28939i
\(895\) 50.7995i 1.69804i
\(896\) −0.104291 + 15.3964i −0.00348411 + 0.514357i
\(897\) −1.61712 0.598492i −0.0539941 0.0199831i
\(898\) 2.68279 2.13521i 0.0895258 0.0712528i
\(899\) −2.00358 + 3.47029i −0.0668230 + 0.115741i
\(900\) 0.301270 + 2.68030i 0.0100423 + 0.0893435i
\(901\) 12.1391 21.0256i 0.404412 0.700463i
\(902\) −4.37951 1.72372i −0.145822 0.0573937i
\(903\) −14.3074 5.29513i −0.476121 0.176211i
\(904\) −7.11634 + 10.3729i −0.236686 + 0.344998i
\(905\) 9.52270 5.49794i 0.316545 0.182758i
\(906\) 17.3166 5.69563i 0.575306 0.189225i
\(907\) −25.3447 + 14.6328i −0.841558 + 0.485874i −0.857794 0.513994i \(-0.828165\pi\)
0.0162355 + 0.999868i \(0.494832\pi\)
\(908\) 34.0836 + 31.7480i 1.13111 + 1.05359i
\(909\) −5.18823 14.7482i −0.172083 0.489166i
\(910\) 1.94737 0.291592i 0.0645546 0.00966617i
\(911\) 9.55275 0.316497 0.158248 0.987399i \(-0.449415\pi\)
0.158248 + 0.987399i \(0.449415\pi\)
\(912\) 10.6810 10.2265i 0.353685 0.338633i
\(913\) −6.28033 −0.207849
\(914\) −5.57276 7.00191i −0.184330 0.231603i
\(915\) 14.7942 2.52632i 0.489081 0.0835177i
\(916\) 2.35548 10.2287i 0.0778273 0.337967i
\(917\) 16.0195 9.24884i 0.529009 0.305424i
\(918\) −2.74139 20.5790i −0.0904792 0.679209i
\(919\) −10.9223 6.30600i −0.360294 0.208016i 0.308916 0.951089i \(-0.400034\pi\)
−0.669210 + 0.743074i \(0.733367\pi\)
\(920\) 14.9529 + 1.16422i 0.492981 + 0.0383833i
\(921\) −25.7662 + 4.39995i −0.849025 + 0.144983i
\(922\) 2.79531 + 18.6682i 0.0920587 + 0.614805i
\(923\) −0.541518 −0.0178243
\(924\) −2.89789 + 1.45892i −0.0953335 + 0.0479949i
\(925\) 0.565741 0.979892i 0.0186014 0.0322186i
\(926\) −24.0476 9.46486i −0.790254 0.311035i
\(927\) 11.4862 + 32.6511i 0.377258 + 1.07240i
\(928\) 3.15336 10.0500i 0.103514 0.329909i
\(929\) 44.1499i 1.44851i −0.689532 0.724255i \(-0.742184\pi\)
0.689532 0.724255i \(-0.257816\pi\)
\(930\) 12.0460 + 2.51509i 0.395003 + 0.0824730i
\(931\) −9.51561 + 5.49384i −0.311862 + 0.180053i
\(932\) −9.05947 + 9.72597i −0.296753 + 0.318585i
\(933\) 9.07565 7.53224i 0.297123 0.246594i
\(934\) −8.27812 + 21.0324i −0.270868 + 0.688203i
\(935\) 4.53888 0.148437
\(936\) 3.59096 + 0.966952i 0.117374 + 0.0316058i
\(937\) 20.8047 0.679661 0.339830 0.940487i \(-0.389630\pi\)
0.339830 + 0.940487i \(0.389630\pi\)
\(938\) 12.8966 + 9.04704i 0.421090 + 0.295396i
\(939\) 7.65141 6.35021i 0.249694 0.207231i
\(940\) 1.58744 1.70423i 0.0517766 0.0555857i
\(941\) 23.3576i 0.761436i −0.924691 0.380718i \(-0.875677\pi\)
0.924691 0.380718i \(-0.124323\pi\)
\(942\) −0.207953 0.632247i −0.00677548 0.0205997i
\(943\) 10.9844i 0.357701i
\(944\) 24.7526 16.7361i 0.805630 0.544713i
\(945\) −8.48431 + 14.1605i −0.275995 + 0.460640i
\(946\) 4.92874 3.92274i 0.160247 0.127539i
\(947\) −39.0058 −1.26752 −0.633760 0.773530i \(-0.718489\pi\)
−0.633760 + 0.773530i \(0.718489\pi\)
\(948\) 0.971731 16.9693i 0.0315604 0.551138i
\(949\) 2.06608 + 3.57856i 0.0670679 + 0.116165i
\(950\) 1.26261 + 0.496949i 0.0409645 + 0.0161232i
\(951\) 25.8529 4.41476i 0.838338 0.143159i
\(952\) 9.81140 4.68988i 0.317989 0.152000i
\(953\) 28.4724i 0.922313i −0.887319 0.461156i \(-0.847435\pi\)
0.887319 0.461156i \(-0.152565\pi\)
\(954\) −36.4345 1.33776i −1.17961 0.0433115i
\(955\) 12.0789 + 6.97378i 0.390866 + 0.225666i
\(956\) 28.4541 + 26.5042i 0.920271 + 0.857207i
\(957\) 2.18788 0.373612i 0.0707241 0.0120772i
\(958\) −3.28537 + 8.34723i −0.106146 + 0.269687i
\(959\) −7.62674 13.2099i −0.246280 0.426570i
\(960\) −32.3437 + 0.444031i −1.04389 + 0.0143310i
\(961\) −13.1843 + 22.8359i −0.425301 + 0.736643i
\(962\) −0.971515 1.22066i −0.0313229 0.0393558i
\(963\) 5.27931 28.1588i 0.170124 0.907404i
\(964\) 5.04530 1.54558i 0.162498 0.0497798i
\(965\) 10.6047i 0.341378i
\(966\) 5.64534 + 5.04634i 0.181636 + 0.162363i
\(967\) 3.05677 1.76483i 0.0982991 0.0567530i −0.450045 0.893006i \(-0.648592\pi\)
0.548344 + 0.836253i \(0.315259\pi\)
\(968\) −2.31112 + 29.6832i −0.0742823 + 0.954055i
\(969\) −9.79497 3.62509i −0.314660 0.116455i
\(970\) 30.9314 + 12.1742i 0.993146 + 0.390891i
\(971\) −2.15537 3.73322i −0.0691693 0.119805i 0.829367 0.558705i \(-0.188702\pi\)
−0.898536 + 0.438900i \(0.855368\pi\)
\(972\) −25.3863 + 18.0979i −0.814267 + 0.580491i
\(973\) 11.2164 + 19.4273i 0.359581 + 0.622812i
\(974\) −7.07695 2.78540i −0.226760 0.0892501i
\(975\) 0.0574408 + 0.336374i 0.00183958 + 0.0107726i
\(976\) 1.05224 + 14.8101i 0.0336813 + 0.474061i
\(977\) −4.67051 2.69652i −0.149423 0.0862694i 0.423424 0.905931i \(-0.360828\pi\)
−0.572847 + 0.819662i \(0.694161\pi\)
\(978\) 3.13498 15.0149i 0.100245 0.480125i
\(979\) −5.54226 + 3.19982i −0.177131 + 0.102267i
\(980\) 23.4221 + 5.39365i 0.748191 + 0.172294i
\(981\) −3.88214 + 20.7066i −0.123947 + 0.661109i
\(982\) −40.2546 + 6.02758i −1.28458 + 0.192348i
\(983\) −24.4522 −0.779904 −0.389952 0.920835i \(-0.627508\pi\)
−0.389952 + 0.920835i \(0.627508\pi\)
\(984\) −2.16299 23.5913i −0.0689537 0.752063i
\(985\) 22.3383 + 38.6911i 0.711757 + 1.23280i
\(986\) −7.35750 + 1.10168i −0.234311 + 0.0350848i
\(987\) 1.15906 0.197927i 0.0368934 0.00630009i
\(988\) 1.27517 1.36898i 0.0405685 0.0435531i
\(989\) −12.7319 7.35078i −0.404852 0.233741i
\(990\) −3.18917 6.02401i −0.101359 0.191455i
\(991\) 43.9777i 1.39700i 0.715611 + 0.698499i \(0.246149\pi\)
−0.715611 + 0.698499i \(0.753851\pi\)
\(992\) −3.64455 + 11.6155i −0.115714 + 0.368792i
\(993\) −1.76624 + 4.77237i −0.0560500 + 0.151447i
\(994\) 2.21275 + 0.870913i 0.0701842 + 0.0276237i
\(995\) 0.654113 1.13296i 0.0207368 0.0359172i
\(996\) −14.2150 28.2356i −0.450419 0.894680i
\(997\) 8.58744 0.271967 0.135984 0.990711i \(-0.456581\pi\)
0.135984 + 0.990711i \(0.456581\pi\)
\(998\) −26.7231 10.5179i −0.845906 0.332938i
\(999\) 13.0772 + 0.211856i 0.413743 + 0.00670282i
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 804.2.l.a.431.7 264
3.2 odd 2 inner 804.2.l.a.431.126 yes 264
4.3 odd 2 inner 804.2.l.a.431.51 yes 264
12.11 even 2 inner 804.2.l.a.431.82 yes 264
67.37 even 3 inner 804.2.l.a.707.82 yes 264
201.104 odd 6 inner 804.2.l.a.707.51 yes 264
268.171 odd 6 inner 804.2.l.a.707.126 yes 264
804.707 even 6 inner 804.2.l.a.707.7 yes 264
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
804.2.l.a.431.7 264 1.1 even 1 trivial
804.2.l.a.431.51 yes 264 4.3 odd 2 inner
804.2.l.a.431.82 yes 264 12.11 even 2 inner
804.2.l.a.431.126 yes 264 3.2 odd 2 inner
804.2.l.a.707.7 yes 264 804.707 even 6 inner
804.2.l.a.707.51 yes 264 201.104 odd 6 inner
804.2.l.a.707.82 yes 264 67.37 even 3 inner
804.2.l.a.707.126 yes 264 268.171 odd 6 inner