LMFDB - Embedded newform 684.2.bs.a.23.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [684,2,Mod(23,684)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(684, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 15, 2]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("684.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 684 = 2^{2} \cdot 3^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	684.bs (of order $18$, degree $6$, 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:	$5.46176749826$
Analytic rank:	$0$
Dimension:	$696$
Relative dimension:	$116$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			23.4
Character	$\chi$	$=$	684.23
Dual form			684.2.bs.a.119.4

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.40831 + 0.129087i) q^{2} +(-0.356216 - 1.69503i) q^{3} +(1.96667 - 0.363589i) q^{4} +(-1.53473 + 0.270614i) q^{5} +(0.720469 + 2.34114i) q^{6} -0.923751i q^{7} +(-2.72275 + 0.765918i) q^{8} +(-2.74622 + 1.20759i) q^{9} +(2.12644 - 0.579223i) q^{10} +(-1.38916 + 2.40610i) q^{11} +(-1.31685 - 3.20404i) q^{12} +(5.07753 + 4.26056i) q^{13} +(0.119244 + 1.30093i) q^{14} +(1.00539 + 2.50501i) q^{15} +(3.73561 - 1.43012i) q^{16} +(-0.788778 + 2.16715i) q^{17} +(3.71164 - 2.05516i) q^{18} +(3.66424 - 2.36079i) q^{19} +(-2.91992 + 1.09022i) q^{20} +(-1.56578 + 0.329055i) q^{21} +(1.64578 - 3.56786i) q^{22} +(8.65925 - 3.15171i) q^{23} +(2.26814 + 4.34230i) q^{24} +(-2.41630 + 0.879461i) q^{25} +(-7.70072 - 5.34474i) q^{26} +(3.02515 + 4.22475i) q^{27} +(-0.335866 - 1.81672i) q^{28} +(3.10017 - 3.69463i) q^{29} +(-1.73927 - 3.39804i) q^{30} +(-3.56920 + 2.06068i) q^{31} +(-5.07628 + 2.49627i) q^{32} +(4.57324 + 1.49757i) q^{33} +(0.831093 - 3.15384i) q^{34} +(0.249980 + 1.41771i) q^{35} +(-4.96185 + 3.37343i) q^{36} -5.89377 q^{37} +(-4.85564 + 3.79773i) q^{38} +(5.41305 - 10.1242i) q^{39} +(3.97142 - 1.91229i) q^{40} +(0.179922 - 0.494332i) q^{41} +(2.16263 - 0.665534i) q^{42} +(2.04848 - 5.62815i) q^{43} +(-1.85720 + 5.23710i) q^{44} +(3.88791 - 2.59649i) q^{45} +(-11.7881 + 5.55638i) q^{46} +(2.45486 + 2.05987i) q^{47} +(-3.75478 - 5.82251i) q^{48} +6.14668 q^{49} +(3.28937 - 1.55047i) q^{50} +(3.95435 + 0.565024i) q^{51} +(11.5349 + 6.53298i) q^{52} +(-3.83515 + 4.57056i) q^{53} +(-4.80570 - 5.55925i) q^{54} +(1.48086 - 4.06864i) q^{55} +(0.707518 + 2.51514i) q^{56} +(-5.30686 - 5.37004i) q^{57} +(-3.88907 + 5.60338i) q^{58} +(2.01639 - 1.69196i) q^{59} +(2.88808 + 4.56098i) q^{60} +(2.41706 - 13.7078i) q^{61} +(4.76054 - 3.36282i) q^{62} +(1.11551 + 2.53682i) q^{63} +(6.82674 - 4.17081i) q^{64} +(-8.94561 - 5.16475i) q^{65} +(-6.63386 - 1.51870i) q^{66} +(14.1422 + 2.49365i) q^{67} +(-0.763316 + 4.54887i) q^{68} +(-8.42679 - 13.5550i) q^{69} +(-0.535057 - 1.96430i) q^{70} +(7.01828 - 5.88904i) q^{71} +(6.55235 - 5.39135i) q^{72} +(1.56692 + 8.88643i) q^{73} +(8.30026 - 0.760810i) q^{74} +(2.35143 + 3.78241i) q^{75} +(6.34801 - 5.97518i) q^{76} +(2.22264 + 1.28324i) q^{77} +(-6.31634 + 14.9568i) q^{78} +(6.78987 + 8.09186i) q^{79} +(-5.34613 + 3.20576i) q^{80} +(6.08345 - 6.63262i) q^{81} +(-0.189574 + 0.719399i) q^{82} -4.95989 q^{83} +(-2.95974 + 1.21645i) q^{84} +(0.624099 - 3.53944i) q^{85} +(-2.15837 + 8.19062i) q^{86} +(-7.36683 - 3.93877i) q^{87} +(1.93947 - 7.61520i) q^{88} +(4.70122 + 0.828952i) q^{89} +(-5.14021 + 4.15855i) q^{90} +(3.93569 - 4.69038i) q^{91} +(15.8840 - 9.34679i) q^{92} +(4.76432 + 5.31584i) q^{93} +(-3.72310 - 2.58404i) q^{94} +(-4.98476 + 4.61477i) q^{95} +(6.03950 + 7.71521i) q^{96} +(0.862927 + 4.89390i) q^{97} +(-8.65644 + 0.793458i) q^{98} +(0.909361 - 8.28522i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 696 q - 9 q^{2} - 3 q^{4} - 18 q^{5} - 6 q^{6} - 18 q^{9} - 12 q^{10} - 3 q^{12} - 6 q^{13} - 9 q^{14} - 3 q^{16} - 12 q^{18} - 18 q^{20} + 24 q^{21} + 9 q^{22} + 45 q^{24} - 6 q^{25} + 72 q^{26} - 18 q^{29}+ \cdots + 45 q^{98}+O(q^{100}) $ 696 * q - 9 * q^2 - 3 * q^4 - 18 * q^5 - 6 * q^6 - 18 * q^9 - 12 * q^10 - 3 * q^12 - 6 * q^13 - 9 * q^14 - 3 * q^16 - 12 * q^18 - 18 * q^20 + 24 * q^21 + 9 * q^22 + 45 * q^24 - 6 * q^25 + 72 * q^26 - 18 * q^29 - 9 * q^32 + 12 * q^33 + 15 * q^34 - 66 * q^36 - 48 * q^37 - 9 * q^38 + 12 * q^40 - 108 * q^41 + 126 * q^42 + 135 * q^44 - 6 * q^45 - 6 * q^46 - 18 * q^48 - 564 * q^49 - 9 * q^50 - 3 * q^52 - 66 * q^54 + 45 * q^56 - 12 * q^57 - 6 * q^58 + 9 * q^60 - 6 * q^61 - 18 * q^62 + 12 * q^64 - 18 * q^65 - 18 * q^66 - 6 * q^69 + 18 * q^70 + 12 * q^72 + 12 * q^73 - 90 * q^74 - 3 * q^76 - 36 * q^77 - 21 * q^78 + 18 * q^81 - 12 * q^82 + 81 * q^84 - 6 * q^85 - 9 * q^86 + 90 * q^88 - 117 * q^90 - 9 * q^92 - 30 * q^93 - 6 * q^94 - 87 * q^96 + 12 * q^97 + 45 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/684\mathbb{Z}\right)^\times$.

$n$	$325$	$343$	$533$
$\chi(n)$	$e\left(\frac{1}{9}\right)$	$-1$	$e\left(\frac{5}{6}\right)$

Coefficient data

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

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 $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.40831	+	0.129087i	−0.995825	+	0.0912784i
$2$	−1.40831	+	0.129087i	−0.995825	+	0.0912784i
$3$	−0.356216	−	1.69503i	−0.205662	−	0.978623i
$3$	−0.356216	−	1.69503i	−0.205662	−	0.978623i
$4$	1.96667	−	0.363589i	0.983337	−	0.181795i
$5$	−1.53473	+	0.270614i	−0.686352	+	0.121022i	−0.505940	−	0.862569i	$-0.668854\pi$
$5$	−1.53473	+	0.270614i	−0.686352	+	0.121022i	−0.180412	+	0.983591i	$0.557743\pi$
$6$	0.720469	+	2.34114i	0.294130	+	0.955765i
$7$		−	0.923751i		−	0.349145i	−0.984644	−	0.174573i	$-0.944146\pi$
$7$		−	0.923751i		−	0.349145i	0.984644	−	0.174573i	$-0.0558544\pi$
$8$	−2.72275	+	0.765918i	−0.962638	+	0.270793i
$9$	−2.74622	+	1.20759i	−0.915407	+	0.402530i
$10$	2.12644	−	0.579223i	0.672440	−	0.183166i
$11$	−1.38916	+	2.40610i	−0.418848	+	0.725467i	−0.995824	−	0.0912948i	$-0.970899\pi$
$11$	−1.38916	+	2.40610i	−0.418848	+	0.725467i	0.576976	+	0.816761i	$0.304233\pi$
$12$	−1.31685	−	3.20404i	−0.380143	−	0.924928i
$13$	5.07753	+	4.26056i	1.40825	+	1.18167i	0.957292	+	0.289122i	$0.0933634\pi$
$13$	5.07753	+	4.26056i	1.40825	+	1.18167i	0.450962	+	0.892543i	$0.351081\pi$
$14$	0.119244	+	1.30093i	0.0318694	+	0.347688i
$15$	1.00539	+	2.50501i	0.259592	+	0.646790i
$16$	3.73561	−	1.43012i	0.933901	−	0.357531i
$17$	−0.788778	+	2.16715i	−0.191307	+	0.525611i	−0.997848	−	0.0655666i	$-0.979115\pi$
$17$	−0.788778	+	2.16715i	−0.191307	+	0.525611i	0.806541	+	0.591178i	$0.201337\pi$
$18$	3.71164	−	2.05516i	0.874843	−	0.484407i
$19$	3.66424	−	2.36079i	0.840635	−	0.541602i
$19$	3.66424	−	2.36079i	0.840635	−	0.541602i
$20$	−2.91992	+	1.09022i	−0.652914	+	0.243781i
$21$	−1.56578	+	0.329055i	−0.341681	+	0.0718057i
$22$	1.64578	−	3.56786i	0.350880	−	0.760670i
$23$	8.65925	−	3.15171i	1.80558	−	0.657177i	0.807881	−	0.589346i	$-0.200614\pi$
$23$	8.65925	−	3.15171i	1.80558	−	0.657177i	0.997697	−	0.0678308i	$-0.0216078\pi$
$24$	2.26814	+	4.34230i	0.462982	+	0.886368i
$25$	−2.41630	+	0.879461i	−0.483260	+	0.175892i
$26$	−7.70072	−	5.34474i	−1.51024	−	1.04819i
$27$	3.02515	+	4.22475i	0.582190	+	0.813053i
$28$	−0.335866	−	1.81672i	−0.0634727	−	0.343327i
$29$	3.10017	−	3.69463i	0.575686	−	0.686076i	−0.397101	−	0.917775i	$-0.629984\pi$
$29$	3.10017	−	3.69463i	0.575686	−	0.686076i	0.972788	+	0.231698i	$0.0744283\pi$
$30$	−1.73927	−	3.39804i	−0.317546	−	0.620395i
$31$	−3.56920	+	2.06068i	−0.641048	+	0.370109i	−0.785018	−	0.619473i	$-0.787346\pi$
$31$	−3.56920	+	2.06068i	−0.641048	+	0.370109i	0.143970	+	0.989582i	$0.454013\pi$
$32$	−5.07628	+	2.49627i	−0.897368	+	0.441283i
$33$	4.57324	+	1.49757i	0.796099	+	0.260694i
$34$	0.831093	−	3.15384i	0.142531	−	0.540879i
$35$	0.249980	+	1.41771i	0.0422544	+	0.239636i
$36$	−4.96185	+	3.37343i	−0.826975	+	0.562239i
$37$	−5.89377			−0.968930			−0.484465	−	0.874811i	$-0.660986\pi$
$37$	−5.89377			−0.968930			−0.484465	+	0.874811i	$0.660986\pi$
$38$	−4.85564	+	3.79773i	−0.787690	+	0.616072i
$39$	5.41305	−	10.1242i	0.866781	−	1.62117i
$40$	3.97142	−	1.91229i	0.627936	−	0.302360i
$41$	0.179922	−	0.494332i	0.0280991	−	0.0772018i	−0.924850	−	0.380332i	$-0.875810\pi$
$41$	0.179922	−	0.494332i	0.0280991	−	0.0772018i	0.952949	+	0.303131i	$0.0980318\pi$
$42$	2.16263	−	0.665534i	0.333701	−	0.102694i
$43$	2.04848	−	5.62815i	0.312390	−	0.858285i	−0.679783	−	0.733414i	$-0.737926\pi$
$43$	2.04848	−	5.62815i	0.312390	−	0.858285i	0.992173	−	0.124872i	$-0.0398519\pi$
$44$	−1.85720	+	5.23710i	−0.279983	+	0.789522i
$45$	3.88791	−	2.59649i	0.579576	−	0.387062i
$46$	−11.7881	+	5.55638i	−1.73805	+	0.819243i
$47$	2.45486	+	2.05987i	0.358078	+	0.300463i	0.804024	−	0.594597i	$-0.202688\pi$
$47$	2.45486	+	2.05987i	0.358078	+	0.300463i	−0.445946	+	0.895060i	$0.647133\pi$
$48$	−3.75478	−	5.82251i	−0.541955	−	0.840407i
$49$	6.14668			0.878098
$50$	3.28937	−	1.55047i	0.465187	−	0.219269i
$51$	3.95435	+	0.565024i	0.553719	+	0.0791192i
$52$	11.5349	+	6.53298i	1.59961	+	0.905962i
$53$	−3.83515	+	4.57056i	−0.526799	+	0.627814i	−0.962174	−	0.272435i	$-0.912171\pi$
$53$	−3.83515	+	4.57056i	−0.526799	+	0.627814i	0.435375	+	0.900249i	$0.356616\pi$
$54$	−4.80570	−	5.55925i	−0.653973	−	0.756518i
$55$	1.48086	−	4.06864i	0.199680	−	0.548616i
$56$	0.707518	+	2.51514i	0.0945461	+	0.336100i
$57$	−5.30686	−	5.37004i	−0.702910	−	0.711279i
$58$	−3.88907	+	5.60338i	−0.510659	+	0.735760i
$59$	2.01639	−	1.69196i	0.262512	−	0.220274i	−0.502026	−	0.864853i	$-0.667412\pi$
$59$	2.01639	−	1.69196i	0.262512	−	0.220274i	0.764538	+	0.644579i	$0.222967\pi$
$60$	2.88808	+	4.56098i	0.372849	+	0.588820i
$61$	2.41706	−	13.7078i	0.309473	−	1.75511i	−0.292190	−	0.956360i	$-0.594384\pi$
$61$	2.41706	−	13.7078i	0.309473	−	1.75511i	0.601663	−	0.798750i	$-0.294505\pi$
$62$	4.76054	−	3.36282i	0.604589	−	0.427078i
$63$	1.11551	+	2.53682i	0.140542	+	0.319610i
$64$	6.82674	−	4.17081i	0.853342	−	0.521351i
$65$	−8.94561	−	5.16475i	−1.10957	−	0.640608i
$66$	−6.63386	−	1.51870i	−0.816572	−	0.186939i
$67$	14.1422	+	2.49365i	1.72774	+	0.304647i	0.947244	−	0.320512i	$-0.103855\pi$
$67$	14.1422	+	2.49365i	1.72774	+	0.304647i	0.780497	+	0.625160i	$0.214966\pi$
$68$	−0.763316	+	4.54887i	−0.0925657	+	0.551631i
$69$	−8.42679	−	13.5550i	−1.01447	−	1.63182i
$70$	−0.535057	−	1.96430i	−0.0639516	−	0.234779i
$71$	7.01828	−	5.88904i	0.832917	−	0.698900i	−0.123042	−	0.992401i	$-0.539265\pi$
$71$	7.01828	−	5.88904i	0.832917	−	0.698900i	0.955959	+	0.293502i	$0.0948206\pi$
$72$	6.55235	−	5.39135i	0.772202	−	0.635377i
$73$	1.56692	+	8.88643i	0.183394	+	1.04008i	0.928002	+	0.372576i	$0.121525\pi$
$73$	1.56692	+	8.88643i	0.183394	+	1.04008i	−0.744608	+	0.667502i	$0.767364\pi$
$74$	8.30026	−	0.760810i	0.964885	−	0.0884423i
$75$	2.35143	+	3.78241i	0.271520	+	0.436755i
$76$	6.34801	−	5.97518i	0.728167	−	0.685400i
$77$	2.22264	+	1.28324i	0.253293	+	0.146239i
$78$	−6.31634	+	14.9568i	−0.715185	+	1.69352i
$79$	6.78987	+	8.09186i	0.763921	+	0.910405i	0.998089	−	0.0617909i	$-0.0196812\pi$
$79$	6.78987	+	8.09186i	0.763921	+	0.910405i	−0.234169	+	0.972196i	$0.575237\pi$
$80$	−5.34613	+	3.20576i	−0.597716	+	0.358415i
$81$	6.08345	−	6.63262i	0.675939	−	0.736958i
$82$	−0.189574	+	0.719399i	−0.0209350	+	0.0794443i
$83$	−4.95989			−0.544419			−0.272209	−	0.962238i	$-0.587754\pi$
$83$	−4.95989			−0.544419			−0.272209	+	0.962238i	$0.587754\pi$
$84$	−2.95974	+	1.21645i	−0.322934	+	0.132725i
$85$	0.624099	−	3.53944i	0.0676931	−	0.383907i
$86$	−2.15837	+	8.19062i	−0.232743	+	0.883217i
$87$	−7.36683	−	3.93877i	−0.789807	−	0.422281i
$88$	1.93947	−	7.61520i	0.206748	−	0.811783i
$89$	4.70122	+	0.828952i	0.498328	+	0.0878687i	0.417162	−	0.908832i	$-0.363025\pi$
$89$	4.70122	+	0.828952i	0.498328	+	0.0878687i	0.0811656	+	0.996701i	$0.474136\pi$
$90$	−5.14021	+	4.15855i	−0.541826	+	0.438349i
$91$	3.93569	−	4.69038i	0.412573	−	0.491685i
$92$	15.8840	−	9.34679i	1.65602	−	0.974470i
$93$	4.76432	+	5.31584i	0.494037	+	0.551227i
$94$	−3.72310	−	2.58404i	−0.384009	−	0.266524i
$95$	−4.98476	+	4.61477i	−0.511426	+	0.473465i
$96$	6.03950	+	7.71521i	0.616404	+	0.787430i
$97$	0.862927	+	4.89390i	0.0876170	+	0.496900i	0.996761	+	0.0804190i	$0.0256258\pi$
$97$	0.862927	+	4.89390i	0.0876170	+	0.496900i	−0.909144	+	0.416481i	$0.863263\pi$
$98$	−8.65644	+	0.793458i	−0.874432	+	0.0801513i
$99$	0.909361	−	8.28522i	0.0913942	−	0.832696i
$100$	−4.43231	+	2.60815i	−0.443231	+	0.260815i
$101$	6.30923	+	17.3345i	0.627792	+	1.72484i	0.687060	+	0.726601i	$0.258901\pi$
$101$	6.30923	+	17.3345i	0.627792	+	1.72484i	−0.0592682	+	0.998242i	$0.518877\pi$
$102$	−5.64188	−	0.285274i	−0.558630	−	0.0282463i
$103$			5.98769i			0.589985i	0.955500	+	0.294992i	$0.0953171\pi$
$103$			5.98769i			0.589985i	−0.955500	+	0.294992i	$0.904683\pi$
$104$	−17.0881	−	7.71145i	−1.67563	−	0.756170i
$105$	2.31400	−	0.928734i	0.225824	−	0.0906351i
$106$	4.81108	−	6.93183i	0.467294	−	0.673279i
$107$	−1.86630	+	3.23252i	−0.180422	+	0.312499i	−0.942024	−	0.335545i	$-0.891080\pi$
$107$	−1.86630	+	3.23252i	−0.180422	+	0.312499i	0.761603	+	0.648044i	$0.224413\pi$
$108$	7.48555	+	7.20879i	0.720297	+	0.693666i
$109$	−7.04749	+	5.91355i	−0.675028	+	0.566415i	−0.914549	−	0.404476i	$-0.867454\pi$
$109$	−7.04749	+	5.91355i	−0.675028	+	0.566415i	0.239521	+	0.970891i	$0.423010\pi$
$110$	−1.56031	+	5.92107i	−0.148769	+	0.564552i
$111$	2.09946	+	9.99009i	0.199272	+	0.948217i
$112$	−1.32108	−	3.45077i	−0.124830	−	0.326067i
$113$	3.09693	+	1.78802i	0.291335	+	0.168202i	0.638544	−	0.769586i	$-0.279537\pi$
$113$	3.09693	+	1.78802i	0.291335	+	0.168202i	−0.347209	+	0.937788i	$0.612870\pi$
$114$	8.16690	+	6.87763i	0.764900	+	0.644149i
$115$	−12.4367	+	7.18034i	−1.15973	+	0.669570i
$116$	4.75368	−	8.39333i	0.441369	−	0.779301i
$117$	−19.0890	−	5.56884i	−1.76478	−	0.514839i
$118$	−2.62130	+	2.64309i	−0.241310	+	0.243316i
$119$	2.00191	+	0.728634i	0.183514	+	0.0667938i
$120$	−4.65607	−	6.05046i	−0.425039	−	0.552329i
$121$	1.64045	+	2.84135i	0.149132	+	0.258304i
$122$	−1.63447	+	19.6169i	−0.147978	+	1.77603i
$123$	−0.901997	−	0.128884i	−0.0813303	−	0.0116210i
$124$	−6.27022	+	5.35041i	−0.563082	+	0.480481i
$125$	10.2185	−	5.89963i	0.913967	−	0.527679i
$126$	−1.89846	−	3.42863i	−0.169128	−	0.305447i
$127$	−16.6675	−	2.93892i	−1.47900	−	0.260787i	−0.624821	−	0.780768i	$-0.714828\pi$
$127$	−16.6675	−	2.93892i	−1.47900	−	0.260787i	−0.854178	+	0.519981i	$0.825939\pi$
$128$	−9.07576	+	6.75503i	−0.802192	+	0.597066i
$129$	−10.2696	−	1.46739i	−0.904185	−	0.129196i
$130$	13.2649	+	6.11881i	1.16341	+	0.536655i
$131$	12.9688	−	10.8821i	1.13309	−	0.950777i	0.133901	−	0.990995i	$-0.457250\pi$
$131$	12.9688	−	10.8821i	1.13309	−	0.950777i	0.999191	+	0.0402176i	$0.0128051\pi$
$132$	9.53858	+	1.28246i	0.830226	+	0.111623i
$133$	−2.18078	−	3.38485i	−0.189098	−	0.293504i
$134$	−20.2385	−	1.68626i	−1.74834	−	0.145670i
$135$	−5.78606	−	5.66520i	−0.497985	−	0.487583i
$136$	0.487786	−	6.50475i	0.0418273	−	0.557777i
$137$	7.30728	+	1.28847i	0.624303	+	0.110081i	0.476846	−	0.878987i	$-0.341780\pi$
$137$	7.30728	+	1.28847i	0.624303	+	0.110081i	0.147457	+	0.989068i	$0.452891\pi$
$138$	13.6173	+	18.0018i	1.15918	+	1.53241i
$139$	9.16881	−	10.9270i	0.777688	−	0.926812i	−0.221139	−	0.975242i	$-0.570977\pi$
$139$	9.16881	−	10.9270i	0.777688	−	0.926812i	0.998827	+	0.0484299i	$0.0154218\pi$
$140$	1.00709	+	2.69728i	0.0851149	+	0.227962i
$141$	2.61707	−	4.89480i	0.220397	−	0.412217i
$142$	−9.12371	+	9.19956i	−0.765645	+	0.772010i
$143$	−17.3048	+	6.29845i	−1.44710	+	0.526703i
$144$	−8.53179	+	8.43851i	−0.710983	+	0.703210i
$145$	−3.75810	+	6.50922i	−0.312093	+	0.540561i
$146$	−3.35383	−	12.3126i	−0.277565	−	1.01900i
$147$	−2.18955	−	10.4188i	−0.180591	−	0.859327i
$148$	−11.5911	+	2.14291i	−0.952784	+	0.176146i
$149$	2.42366	−	6.65894i	0.198554	−	0.545522i	−0.799958	−	0.600056i	$-0.795145\pi$
$149$	2.42366	−	6.65894i	0.198554	−	0.545522i	0.998512	+	0.0545339i	$0.0173673\pi$
$150$	−3.79981	−	5.02326i	−0.310253	−	0.410148i
$151$	−12.5306	+	7.23454i	−1.01973	+	0.588739i	−0.914024	−	0.405659i	$-0.867042\pi$
$151$	−12.5306	+	7.23454i	−1.01973	+	0.588739i	−0.105701	+	0.994398i	$0.533709\pi$
$152$	−8.16865	+	9.23434i	−0.662565	+	0.749004i
$153$	−0.450873	−	6.90399i	−0.0364509	−	0.558154i
$154$	−3.29581	−	1.52029i	−0.265584	−	0.122508i
$155$	4.92012	−	4.12847i	0.395193	−	0.331606i
$156$	6.96464	−	21.8792i	0.557617	−	1.75174i
$157$	1.64561	+	9.33269i	0.131334	+	0.744830i	0.977343	+	0.211662i	$0.0678875\pi$
$157$	1.64561	+	9.33269i	0.131334	+	0.744830i	−0.846009	+	0.533168i	$0.821001\pi$
$158$	−10.6068	−	10.5194i	−0.843832	−	0.836875i
$159$	9.11335	+	4.87257i	0.722736	+	0.386420i
$160$	7.11519	−	5.20482i	0.562505	−	0.411477i
$161$	−2.91139	−	7.99899i	−0.229450	−	0.630409i
$162$	−7.71119	+	10.1261i	−0.605848	+	0.795580i
$163$	3.45838	−	1.99670i	0.270881	−	0.156393i	−0.358407	−	0.933565i	$-0.616680\pi$
$163$	3.45838	−	1.99670i	0.270881	−	0.156393i	0.629288	+	0.777172i	$0.283347\pi$
$164$	0.174114	−	1.03761i	0.0135960	−	0.0810236i
$165$	−7.42396	−	1.06079i	−0.577954	−	0.0825821i
$166$	6.98506	−	0.640258i	0.542146	−	0.0496936i
$167$	−11.0372	+	4.01722i	−0.854086	+	0.310862i	−0.731705	−	0.681621i	$-0.761275\pi$
$167$	−11.0372	+	4.01722i	−0.854086	+	0.310862i	−0.122381	+	0.992483i	$0.539053\pi$
$168$	4.01120	−	2.09520i	0.309471	−	0.161648i
$169$	5.37158	+	30.4637i	0.413198	+	2.34336i
$170$	−0.422029	+	5.06520i	−0.0323681	+	0.388483i
$171$	−7.21196	+	10.9081i	−0.551512	+	0.834167i
$172$	1.98235	−	11.8135i	0.151153	−	0.900774i
$173$	−1.66408	+	0.293422i	−0.126517	+	0.0223084i	−0.236548	−	0.971620i	$-0.576016\pi$
$173$	−1.66408	+	0.293422i	−0.126517	+	0.0223084i	0.110031	+	0.993928i	$0.464905\pi$
$174$	10.8832	+	4.59605i	0.825055	+	0.348425i
$175$	0.812403	+	2.23206i	0.0614119	+	0.168728i
$176$	−1.74835	+	10.9749i	−0.131787	+	0.827265i
$177$	−3.58618	−	2.81514i	−0.269554	−	0.211599i
$178$	−6.72778	−	0.560554i	−0.504268	−	0.0420153i
$179$	−9.24340	−	16.0100i	−0.690884	−	1.19665i	−0.971549	−	0.236840i	$-0.923888\pi$
$179$	−9.24340	−	16.0100i	−0.690884	−	1.19665i	0.280665	−	0.959806i	$-0.409445\pi$
$180$	6.70220	−	6.52006i	0.499553	−	0.485976i
$181$	2.09610	−	0.762920i	0.155802	−	0.0567074i	−0.262942	−	0.964812i	$-0.584693\pi$
$181$	2.09610	−	0.762920i	0.155802	−	0.0567074i	0.418744	+	0.908104i	$0.362470\pi$
$182$	−4.93721	+	7.11355i	−0.365970	+	0.527291i
$183$	−24.0961	+	0.785976i	−1.78124	+	0.0581010i
$184$	−21.1630	+	15.2136i	−1.56016	+	1.12156i
$185$	9.04535	−	1.59494i	0.665027	−	0.117262i
$186$	−7.39584	−	6.87134i	−0.542289	−	0.503831i
$187$	−4.11864	−	4.90840i	−0.301185	−	0.358938i
$188$	5.57685	+	3.15853i	0.406733	+	0.230360i
$189$	3.90261	−	2.79448i	0.283873	−	0.203269i
$190$	6.42438	−	7.14249i	0.466074	−	0.518171i
$191$	1.83482	+	3.17800i	0.132763	+	0.229952i	0.924741	−	0.380598i	$-0.124282\pi$
$191$	1.83482	+	3.17800i	0.132763	+	0.229952i	−0.791978	+	0.610550i	$0.790948\pi$
$192$	−9.50142	−	10.0858i	−0.685706	−	0.727879i
$193$	−7.02060	−	2.55529i	−0.505354	−	0.183934i	0.0767467	−	0.997051i	$-0.475547\pi$
$193$	−7.02060	−	2.55529i	−0.505354	−	0.183934i	−0.582100	+	0.813117i	$0.697769\pi$
$194$	−1.84701	−	6.78074i	−0.132607	−	0.486829i
$195$	−5.56781	+	17.0028i	−0.398719	+	1.21760i
$196$	12.0885	−	2.23487i	0.863466	−	0.159633i
$197$	8.74347	+	5.04805i	0.622947	+	0.359658i	0.778015	−	0.628245i	$-0.216227\pi$
$197$	8.74347	+	5.04805i	0.622947	+	0.359658i	−0.155069	+	0.987904i	$0.549560\pi$
$198$	−0.211146	+	11.7855i	−0.0150055	+	0.837562i
$199$	−2.36247	−	6.49084i	−0.167471	−	0.460124i	0.827359	−	0.561673i	$-0.189842\pi$
$199$	−2.36247	−	6.49084i	−0.167471	−	0.460124i	−0.994830	+	0.101550i	$0.967620\pi$
$200$	5.90538	−	4.24524i	0.417574	−	0.300184i
$201$	−0.810879	−	24.8596i	−0.0571950	−	1.75346i
$202$	−11.1230	−	23.5978i	−0.782612	−	1.66034i
$203$	−3.41292	−	2.86378i	−0.239540	−	0.200998i
$204$	7.98235	−	0.326540i	0.558876	−	0.0228624i
$205$	−0.142359	+	0.807356i	−0.00994276	+	0.0563882i
$206$	−0.772934	−	8.43253i	−0.0538529	−	0.587522i
$207$	−19.9742	+	19.1121i	−1.38830	+	1.32838i
$208$	25.0608	+	8.65426i	1.73765	+	0.600065i
$209$	0.590058	+	12.0961i	0.0408152	+	0.836702i
$210$	−3.13895	+	1.60665i	−0.216608	+	0.110870i
$211$	−13.0273	−	15.5253i	−0.896833	−	1.06880i	−0.997269	−	0.0738607i	$-0.976468\pi$
$211$	−13.0273	−	15.5253i	−0.896833	−	1.06880i	0.100435	−	0.994944i	$-0.467976\pi$
$212$	−5.88069	+	10.3832i	−0.403887	+	0.713122i
$213$	−12.4821	−	9.79839i	−0.855259	−	0.671375i
$214$	2.21105	−	4.79330i	0.151144	−	0.327663i
$215$	−1.62081	+	9.19204i	−0.110538	+	0.626892i
$216$	−11.4725	−	9.18592i	−0.780607	−	0.625023i
$217$	1.90356	+	3.29706i	0.129222	+	0.223819i
$218$	9.16169	−	9.23785i	0.620508	−	0.625666i
$219$	14.5046	−	5.82145i	0.980127	−	0.393377i
$220$	1.43306	−	8.54012i	0.0966170	−	0.575774i
$221$	−13.2383	+	7.64314i	−0.890505	+	0.514133i
$222$	−4.24628	−	13.7981i	−0.284992	−	0.926070i
$223$	−7.95864	+	21.8662i	−0.532950	+	1.46427i	0.322594	+	0.946537i	$0.395445\pi$
$223$	−7.95864	+	21.8662i	−0.532950	+	1.46427i	−0.855544	+	0.517730i	$0.826777\pi$
$224$	2.30594	+	4.68922i	0.154072	+	0.313312i
$225$	5.57366	−	5.33309i	0.371577	−	0.355540i
$226$	−4.59225	−	2.11831i	−0.305472	−	0.140908i
$227$	3.46465	+	6.00095i	0.229957	+	0.398297i	0.957795	−	0.287452i	$-0.0928081\pi$
$227$	3.46465	+	6.00095i	0.229957	+	0.398297i	−0.727838	+	0.685749i	$0.759475\pi$
$228$	−12.3893	−	8.63159i	−0.820504	−	0.571641i
$229$	1.22633	−	2.12406i	0.0810380	−	0.140362i	−0.822658	−	0.568537i	$-0.807510\pi$
$229$	1.22633	−	2.12406i	0.0810380	−	0.140362i	0.903696	+	0.428175i	$0.140843\pi$
$230$	16.5879	−	11.7176i	1.09377	−	0.772633i
$231$	1.38339	−	4.22454i	0.0910201	−	0.277954i
$232$	−5.61119	+	12.4340i	−0.368393	+	0.816335i
$233$	16.9594	+	20.2114i	1.11105	+	1.32409i	0.940903	+	0.338676i	$0.109979\pi$
$233$	16.9594	+	20.2114i	1.11105	+	1.32409i	0.170144	+	0.985419i	$0.445577\pi$
$234$	27.6021	+	5.37850i	1.80441	+	0.351604i
$235$	−4.32497	−	2.49702i	−0.282130	−	0.162888i
$236$	3.35041	−	4.06066i	0.218093	−	0.264327i
$237$	11.2972	−	14.3915i	0.733834	−	0.934826i
$238$	−2.91336	−	0.767723i	−0.188845	−	0.0497641i
$239$	12.3262			0.797318			0.398659	−	0.917099i	$-0.369476\pi$
$239$	12.3262			0.797318			0.398659	+	0.917099i	$0.369476\pi$
$240$	7.33822	+	7.91989i	0.473680	+	0.511227i
$241$	−14.2999	+	5.20472i	−0.921134	+	0.335266i	−0.758690	−	0.651452i	$-0.774160\pi$
$241$	−14.2999	+	5.20472i	−0.921134	+	0.335266i	−0.162445	+	0.986718i	$0.551938\pi$
$242$	−2.67705	−	3.78974i	−0.172087	−	0.243614i
$243$	−13.4095	−	7.94895i	−0.860219	−	0.509925i
$244$	−0.230452	−	27.8377i	−0.0147532	−	1.78212i
$245$	−9.43350	+	1.66338i	−0.602684	+	0.106269i
$246$	1.28693	+	0.0650717i	0.0820516	+	0.00414882i
$247$	28.6636	+	3.62475i	1.82382	+	0.230637i
$248$	8.13974	−	8.34444i	0.516874	−	0.529872i
$249$	1.76679	+	8.40714i	0.111966	+	0.532781i
$250$	−13.6292	+	9.62759i	−0.861986	+	0.608902i
$251$	−12.4729	−	10.4660i	−0.787281	−	0.660607i	0.157790	−	0.987473i	$-0.449563\pi$
$251$	−12.4729	−	10.4660i	−0.787281	−	0.660607i	−0.945071	+	0.326865i	$0.894008\pi$
$252$	3.11621	+	4.58351i	0.196303	+	0.288734i
$253$	−4.44578	+	25.2133i	−0.279504	+	1.58514i
$254$	23.8523	+	1.98736i	1.49663	+	0.124698i
$255$	−6.22176	+	0.202944i	−0.389622	+	0.0127088i
$256$	11.9095	−	10.6847i	0.744344	−	0.667797i
$257$	8.50189	+	1.49911i	0.530334	+	0.0935121i	0.432402	−	0.901681i	$-0.357666\pi$
$257$	8.50189	+	1.49911i	0.530334	+	0.0935121i	0.0979317	+	0.995193i	$0.468777\pi$
$258$	14.6521	+	0.740865i	0.912203	+	0.0461242i
$259$			5.44438i			0.338297i
$260$	−19.4709	−	6.90485i	−1.20754	−	0.428220i
$261$	−4.05213	+	13.8900i	−0.250821	+	0.859770i
$262$	−16.8594	+	16.9995i	−1.04158	+	1.05023i
$263$	−17.5461	+	14.7229i	−1.08194	+	0.907856i	−0.996080	−	0.0884517i	$-0.971808\pi$
$263$	−17.5461	+	14.7229i	−1.08194	+	0.907856i	−0.0858597	+	0.996307i	$0.527364\pi$
$264$	−13.5988	−	0.574788i	−0.836949	−	0.0353757i
$265$	4.64907	−	8.05242i	0.285590	−	0.494656i
$266$	3.50815	+	4.48541i	0.215099	+	0.275018i
$267$	−0.269557	−	8.26397i	−0.0164966	−	0.505747i
$268$	28.7197	−	0.237754i	1.75433	−	0.0145231i
$269$	−0.983121	+	0.173351i	−0.0599420	+	0.0105694i	−0.203539	−	0.979067i	$-0.565244\pi$
$269$	−0.983121	+	0.173351i	−0.0599420	+	0.0105694i	0.143597	+	0.989636i	$0.454133\pi$
$270$	8.87987	+	7.23145i	0.540412	+	0.440092i
$271$	−8.24020	−	9.82029i	−0.500557	−	0.596540i	0.455313	−	0.890331i	$-0.349527\pi$
$271$	−8.24020	−	9.82029i	−0.500557	−	0.596540i	−0.955870	+	0.293791i	$0.905083\pi$
$272$	0.152725	+	9.22366i	0.00926034	+	0.559267i
$273$	−9.35226	−	5.00031i	−0.566025	−	0.302632i
$274$	−10.4572	−	0.871290i	−0.631745	−	0.0526365i
$275$	1.24056	−	7.03557i	0.0748087	−	0.424261i
$276$	−21.5012	−	23.5943i	−1.29422	−	1.42021i
$277$	4.50871	−	7.80931i	0.270902	−	0.469216i	−0.698191	−	0.715911i	$-0.746011\pi$
$277$	4.50871	−	7.80931i	0.270902	−	0.469216i	0.969093	+	0.246695i	$0.0793447\pi$
$278$	−11.5020	+	16.5721i	−0.689844	+	0.993929i
$279$	7.31336	−	9.96922i	0.437839	−	0.596842i
$280$	−1.76648	−	3.66860i	−0.105568	−	0.219241i
$281$	17.3218	+	3.05430i	1.03333	+	0.182204i	0.664497	−	0.747291i	$-0.268646\pi$
$281$	17.3218	+	3.05430i	1.03333	+	0.182204i	0.368834	+	0.929495i	$0.379757\pi$
$282$	−3.05379	+	7.23123i	−0.181851	+	0.430613i
$283$	13.7683	+	16.4084i	0.818441	+	0.975380i	0.999968	−	0.00800637i	$-0.00254853\pi$
$283$	13.7683	+	16.4084i	0.818441	+	0.975380i	−0.181527	+	0.983386i	$0.558104\pi$
$284$	11.6615	−	14.1336i	0.691981	−	0.838674i
$285$	9.59780	+	6.80544i	0.568525	+	0.403120i
$286$	23.5575	−	11.1040i	1.39299	−	0.656593i
$287$	−0.456640	−	0.166203i	−0.0269546	−	0.00981068i
$288$	10.9261	−	12.9854i	0.643827	−	0.765171i
$289$	8.94839	+	7.50859i	0.526376	+	0.441682i
$290$	4.45231	−	9.65211i	0.261449	−	0.566792i
$291$	7.98790	−	3.20597i	0.468259	−	0.187937i
$292$	6.31262	+	16.9070i	0.369418	+	0.989406i
$293$		−	17.6678i		−	1.03216i	−0.856540	−	0.516081i	$-0.827390\pi$
$293$		−	17.6678i		−	1.03216i	0.856540	−	0.516081i	$-0.172610\pi$
$294$	4.42849	+	14.3902i	0.258275	+	0.839255i
$295$	−2.63675	+	3.14236i	−0.153518	+	0.182955i
$296$	16.0473	−	4.51415i	0.932729	−	0.262380i
$297$	−14.3676	+	1.40994i	−0.833692	+	0.0818132i
$298$	−2.55368	+	9.69072i	−0.147930	+	0.561368i
$299$	57.3956	+	20.8903i	3.31928	+	1.20812i
$300$	5.99974	+	6.58381i	0.346395	+	0.380116i
$301$	−5.19901	−	1.89229i	−0.299666	−	0.109070i
$302$	16.7131	−	11.8060i	0.961729	−	0.679360i
$303$	27.1349	−	16.8691i	1.55886	−	0.969105i
$304$	10.3120	−	14.0593i	0.591431	−	0.806355i
$305$			21.6919i			1.24208i
$306$	1.52618	+	9.66475i	0.0872462	+	0.552497i
$307$	19.3822	−	3.41760i	1.10620	−	0.195053i	0.409426	−	0.912344i	$-0.365729\pi$
$307$	19.3822	−	3.41760i	1.10620	−	0.195053i	0.696774	+	0.717291i	$0.254618\pi$
$308$	4.83777	+	1.71559i	0.275658	+	0.0977547i
$309$	10.1493	−	2.13291i	0.577373	−	0.121337i
$310$	−6.39612	+	6.44928i	−0.363275	+	0.366295i
$311$	−4.90302	−	8.49229i	−0.278025	−	0.481553i	0.692869	−	0.721064i	$-0.256346\pi$
$311$	−4.90302	−	8.49229i	−0.278025	−	0.481553i	−0.970894	+	0.239510i	$0.923013\pi$
$312$	−6.98405	+	31.7117i	−0.395394	+	1.79532i
$313$	−17.2879	−	14.5062i	−0.977168	−	0.819942i	0.00649137	−	0.999979i	$-0.497934\pi$
$313$	−17.2879	−	14.5062i	−0.977168	−	0.819942i	−0.983660	+	0.180037i	$0.942378\pi$
$314$	−3.52225	−	12.9309i	−0.198772	−	0.729733i
$315$	−2.39851	−	3.59147i	−0.135141	−	0.202356i
$316$	16.2956	+	13.4453i	0.916698	+	0.756358i
$317$	−4.66484	−	12.8166i	−0.262004	−	0.719849i	−0.999032	−	0.0439874i	$-0.985994\pi$
$317$	−4.66484	−	12.8166i	−0.262004	−	0.719849i	0.737028	−	0.675862i	$-0.236228\pi$
$318$	−13.4634	−	5.68568i	−0.754991	−	0.318837i
$319$	4.58303	+	12.5918i	0.256600	+	0.705003i
$320$	−9.34852	+	8.24848i	−0.522598	+	0.461104i
$321$	6.14400	+	2.01194i	0.342925	+	0.112296i
$322$	5.13271	+	10.8892i	0.286035	+	0.606833i
$323$	2.22590	+	9.80310i	0.123853	+	0.545459i
$324$	9.55260	−	15.2561i	0.530700	−	0.847560i
$325$	−16.0158	−	5.82928i	−0.888398	−	0.323351i
$326$	−4.61272	+	3.25840i	−0.255475	+	0.180466i
$327$	12.5340	+	9.83918i	0.693134	+	0.544108i
$328$	−0.111265	+	1.48375i	−0.00614359	+	0.0819264i
$329$	1.90281	−	2.26768i	0.104905	−	0.125021i
$330$	10.5922	+	0.535578i	0.583080	+	0.0294826i
$331$	−4.35892	−	2.51662i	−0.239588	−	0.138326i	0.375399	−	0.926863i	$-0.377506\pi$
$331$	−4.35892	−	2.51662i	−0.239588	−	0.138326i	−0.614987	+	0.788537i	$0.710839\pi$
$332$	−9.75448	+	1.80336i	−0.535347	+	0.0989724i
$333$	16.1856	−	7.11727i	0.886965	−	0.390024i
$334$	15.0253	−	7.08226i	0.822146	−	0.387524i
$335$	−22.3792			−1.22271
$336$	−5.37855	+	3.46848i	−0.293424	+	0.189221i
$337$	4.24028	+	24.0478i	0.230983	+	1.30997i	0.850911	+	0.525310i	$0.176050\pi$
$337$	4.24028	+	24.0478i	0.230983	+	1.30997i	−0.619928	+	0.784658i	$0.712838\pi$
$338$	−11.4973	−	42.2089i	−0.625371	−	2.29586i
$339$	1.92755	−	5.88630i	0.104690	−	0.319700i
$340$	−0.0595041	−	7.18784i	−0.00322706	−	0.389816i
$341$		−	11.4505i		−	0.620079i
$342$	8.74857	−	16.2930i	0.473068	−	0.881026i
$343$		−	12.1443i		−	0.655729i
$344$	−1.26679	+	16.8930i	−0.0683010	+	0.910811i
$345$	16.6010	+	18.5228i	0.893768	+	0.997233i
$346$	2.30566	−	0.628039i	0.123953	−	0.0337636i
$347$	−1.13690	−	6.44768i	−0.0610320	−	0.346130i	−0.999998	−	0.00211914i	$-0.999325\pi$
$347$	−1.13690	−	6.44768i	−0.0610320	−	0.346130i	0.938966	−	0.344011i	$-0.111786\pi$
$348$	−15.9202	−	5.06777i	−0.853414	−	0.271661i
$349$	−29.3532			−1.57124			−0.785620	−	0.618709i	$-0.787656\pi$
$349$	−29.3532			−1.57124			−0.785620	+	0.618709i	$0.787656\pi$
$350$	−1.43224	−	3.03856i	−0.0765567	−	0.162418i
$351$	−2.63950	+	34.3401i	−0.140886	+	1.83294i
$352$	1.04549	−	15.6818i	0.0557250	−	0.835841i
$353$	−6.38333	−	3.68542i	−0.339750	−	0.196155i	0.320411	−	0.947279i	$-0.396179\pi$
$353$	−6.38333	−	3.68542i	−0.339750	−	0.196155i	−0.660162	+	0.751124i	$0.729512\pi$
$354$	5.41385	+	3.50166i	0.287743	+	0.186111i
$355$	−9.17751	+	10.9373i	−0.487091	+	0.580493i
$356$	9.54716	−	0.0790355i	0.505998	−	0.00418887i
$357$	0.521942	−	3.65283i	0.0276241	−	0.193328i
$358$	15.0843	+	21.3539i	0.797228	+	1.12859i
$359$	−0.0856158	−	0.0311616i	−0.00451863	−	0.00164465i	0.339760	−	0.940512i	$-0.389654\pi$
$359$	−0.0856158	−	0.0311616i	−0.00451863	−	0.00164465i	−0.344278	+	0.938868i	$0.611876\pi$
$360$	−8.59712	+	10.0474i	−0.453108	+	0.529546i
$361$	7.85337	−	17.3010i	0.413335	−	0.910579i
$362$	−2.85348	+	1.34501i	−0.149976	+	0.0706920i
$363$	4.23180	−	3.79274i	0.222112	−	0.199067i
$364$	6.03485	−	10.6554i	0.316312	−	0.558495i
$365$	−4.80959	−	13.2142i	−0.251745	−	0.691665i
$366$	33.8334	−	4.21740i	1.76850	−	0.220447i
$367$	−10.7034	−	29.4074i	−0.558713	−	1.53505i	−0.821506	−	0.570200i	$-0.806866\pi$
$367$	−10.7034	−	29.4074i	−0.558713	−	1.53505i	0.262793	−	0.964852i	$-0.415356\pi$
$368$	27.8402	−	24.1573i	1.45127	−	1.25929i
$369$	0.102845	+	1.57482i	0.00535391	+	0.0819818i
$370$	−12.5328	+	3.41381i	−0.651548	+	0.177475i
$371$	4.22206	+	3.54273i	0.219198	+	0.183929i
$372$	11.3026	+	8.72227i	0.586014	+	0.452229i
$373$	−5.94496	−	10.2970i	−0.307819	−	0.533157i	0.670066	−	0.742301i	$-0.266266\pi$
$373$	−5.94496	−	10.2970i	−0.307819	−	0.533157i	−0.977885	+	0.209144i	$0.932932\pi$
$374$	6.43393	+	6.38089i	0.332691	+	0.329948i
$375$	−13.6400	−	15.2190i	−0.704367	−	0.785906i
$376$	−8.26165	−	3.72829i	−0.426062	−	0.192272i
$377$	31.4824	−	5.55119i	1.62143	−	0.285901i
$378$	−5.13536	+	4.43927i	−0.264134	+	0.228332i
$379$			9.53183i			0.489617i	0.969571	+	0.244809i	$0.0787251\pi$
$379$			9.53183i			0.489617i	−0.969571	+	0.244809i	$0.921275\pi$
$380$	−8.12552	+	10.8881i	−0.416830	+	0.558550i
$381$	0.955674	+	29.2987i	0.0489607	+	1.50102i
$382$	−2.99424	−	4.23876i	−0.153198	−	0.216874i
$383$	−27.5194	−	10.0162i	−1.40618	−	0.511806i	−0.476171	−	0.879353i	$-0.657976\pi$
$383$	−27.5194	−	10.0162i	−1.40618	−	0.511806i	−0.930005	+	0.367547i	$0.880198\pi$
$384$	14.6829	+	12.9774i	0.749283	+	0.662250i
$385$	−3.75841	−	1.36795i	−0.191546	−	0.0697172i
$386$	10.2170	+	2.69237i	0.520033	+	0.137038i
$387$	1.17093	+	17.9299i	0.0595218	+	0.911427i
$388$	3.47647	+	9.31095i	0.176491	+	0.472692i
$389$	5.81882	−	6.93460i	0.295026	−	0.351598i	−0.598087	−	0.801432i	$-0.704072\pi$
$389$	5.81882	−	6.93460i	0.295026	−	0.351598i	0.893113	+	0.449833i	$0.148517\pi$
$390$	5.64636	−	24.6639i	0.285914	−	1.24891i
$391$			21.2519i			1.07475i
$392$	−16.7359	+	4.70786i	−0.845290	+	0.237783i
$393$	−23.0652	−	18.1061i	−1.16349	−	0.913332i
$394$	−12.9652	−	5.98055i	−0.653175	−	0.301296i
$395$	−12.6104	−	10.5814i	−0.634498	−	0.532407i
$396$	−1.22400	−	16.6250i	−0.0615084	−	0.835436i
$397$	−8.11706	−	2.95437i	−0.407384	−	0.148276i	0.130196	−	0.991488i	$-0.458439\pi$
$397$	−8.11706	−	2.95437i	−0.407384	−	0.148276i	−0.537580	+	0.843213i	$0.680661\pi$
$398$	4.16498	+	8.83615i	0.208771	+	0.442916i
$399$	−4.96058	+	4.90221i	−0.248339	+	0.245418i
$400$	−7.76860	+	6.74092i	−0.388430	+	0.337046i
$401$	2.44680	+	2.91598i	0.122187	+	0.145617i	0.823670	−	0.567069i	$-0.191923\pi$
$401$	2.44680	+	2.91598i	0.122187	+	0.145617i	−0.701483	+	0.712686i	$0.747478\pi$
$402$	4.35102	+	34.9054i	0.217009	+	1.74092i
$403$	−26.9024	−	4.74362i	−1.34010	−	0.236296i
$404$	18.7108	+	31.7972i	0.930897	+	1.58197i
$405$	−7.54157	+	11.8256i	−0.374743	+	0.587616i
$406$	5.17613	+	3.59253i	0.256887	+	0.178294i
$407$	8.18741	−	14.1810i	0.405835	−	0.702926i
$408$	−11.1995	+	1.49029i	−0.554456	+	0.0737802i
$409$	1.92495	−	10.9169i	0.0951825	−	0.539807i	−0.899509	−	0.436903i	$-0.856075\pi$
$409$	1.92495	−	10.9169i	0.0951825	−	0.539807i	0.994691	−	0.102904i	$-0.0328135\pi$
$410$	0.0962659	−	1.15538i	0.00475423	−	0.0570604i
$411$	−0.418982	−	12.8450i	−0.0206669	−	0.633597i
$412$	2.17706	+	11.7758i	0.107256	+	0.580154i
$413$	−1.56295	−	1.86265i	−0.0769076	−	0.0916549i
$414$	25.6628	−	29.4942i	1.26126	−	1.44956i
$415$	7.61209	−	1.34222i	0.373663	−	0.0658869i
$416$	−36.4105	−	8.95286i	−1.78517	−	0.438950i
$417$	−21.7875	−	11.6490i	−1.06694	−	0.570454i
$418$	−2.39243	−	16.9588i	−0.117018	−	0.829483i
$419$	4.74761	−	8.22311i	0.231936	−	0.401725i	−0.726442	−	0.687228i	$-0.758827\pi$
$419$	4.74761	−	8.22311i	0.231936	−	0.401725i	0.958378	+	0.285503i	$0.0921607\pi$
$420$	4.21321	−	2.66786i	0.205584	−	0.130178i
$421$	−10.0496	+	8.43265i	−0.489790	+	0.410982i	−0.853951	−	0.520354i	$-0.825800\pi$
$421$	−10.0496	+	8.43265i	−0.489790	+	0.410982i	0.364161	+	0.931336i	$0.381356\pi$
$422$	20.3505	+	20.1828i	0.990648	+	0.982481i
$423$	−9.22906	−	2.69239i	−0.448732	−	0.130909i
$424$	6.94149	−	15.3819i	0.337109	−	0.747011i
$425$		−	5.93018i		−	0.287656i
$426$	18.8435	+	12.1879i	0.912970	+	0.590505i
$427$	−12.6626	−	2.23276i	−0.612788	−	0.108051i
$428$	−2.49508	+	7.03587i	−0.120604	+	0.340092i
$429$	16.8403	+	27.0885i	0.813057	+	1.30785i
$430$	1.09602	−	13.1545i	0.0528549	−	0.634365i
$431$	−6.17077	+	34.9962i	−0.297236	+	1.68571i	0.360739	+	0.932667i	$0.382524\pi$
$431$	−6.17077	+	34.9962i	−0.297236	+	1.68571i	−0.657975	+	0.753040i	$0.728587\pi$
$432$	17.3427	+	11.4557i	0.834399	+	0.551161i
$433$	13.6868	+	11.4846i	0.657744	+	0.551913i	0.909410	−	0.415901i	$-0.136534\pi$
$433$	13.6868	+	11.4846i	0.657744	+	0.551913i	−0.251666	+	0.967814i	$0.580978\pi$
$434$	−3.10640	−	4.39755i	−0.149112	−	0.211089i
$435$	12.3720	+	4.05138i	0.593191	+	0.194249i
$436$	−11.7100	+	14.1924i	−0.560808	+	0.679693i
$437$	24.2891	−	31.9913i	1.16190	−	1.53035i
$438$	−19.6754	+	10.0708i	−0.940128	+	0.481200i
$439$	−2.19392	+	0.386847i	−0.104710	+	0.0184632i	−0.225758	−	0.974184i	$-0.572486\pi$
$439$	−2.19392	+	0.386847i	−0.104710	+	0.0184632i	0.121048	+	0.992647i	$0.461375\pi$
$440$	−0.915777	+	12.2121i	−0.0436580	+	0.582190i
$441$	−16.8801	+	7.42268i	−0.803816	+	0.353461i
$442$	17.6570	−	12.4728i	0.839858	−	0.593271i
$443$	−1.78605	+	0.650069i	−0.0848578	+	0.0308857i	−0.384100	−	0.923291i	$-0.625488\pi$
$443$	−1.78605	+	0.650069i	−0.0848578	+	0.0308857i	0.299242	+	0.954177i	$0.403266\pi$
$444$	7.76124	+	18.8839i	0.368332	+	0.896190i
$445$	−7.43943			−0.352663
$446$	8.38559	−	31.8217i	0.397069	−	1.50680i
$447$	−12.1504	−	1.73613i	−0.574695	−	0.0821164i
$448$	−3.85279	−	6.30621i	−0.182027	−	0.297940i
$449$	−15.2853	−	8.82496i	−0.721357	−	0.416476i	0.0938950	−	0.995582i	$-0.470068\pi$
$449$	−15.2853	−	8.82496i	−0.721357	−	0.416476i	−0.815252	+	0.579107i	$0.803402\pi$
$450$	−7.16100	+	8.23014i	−0.337573	+	0.387972i
$451$	0.939472	+	1.11962i	0.0442380	+	0.0527208i
$452$	6.74076	+	2.39043i	0.317059	+	0.112436i
$453$	16.7263	+	18.6626i	0.785871	+	0.876846i
$454$	−5.65395	−	8.00396i	−0.265353	−	0.375644i
$455$	−4.77094	+	8.26352i	−0.223665	+	0.387400i
$456$	18.5623	+	10.5566i	0.869257	+	0.494360i
$457$	8.30445	+	14.3837i	0.388466	+	0.672842i	0.992243	−	0.124311i	$-0.0396719\pi$
$457$	8.30445	+	14.3837i	0.388466	+	0.672842i	−0.603778	+	0.797153i	$0.706339\pi$
$458$	−1.45286	+	3.14964i	−0.0678877	+	0.147173i
$459$	−11.5418	+	3.22355i	−0.538726	+	0.150463i
$460$	−21.8482	+	18.6432i	−1.01868	+	0.869245i
$461$	9.66396	−	26.5515i	0.450095	−	1.23663i	−0.482562	−	0.875862i	$-0.660294\pi$
$461$	9.66396	−	26.5515i	0.450095	−	1.23663i	0.932657	−	0.360765i	$-0.117484\pi$
$462$	−1.40290	+	6.12804i	−0.0652689	+	0.285102i
$463$	−10.6965	+	6.17564i	−0.497109	+	0.287006i	−0.727519	−	0.686088i	$-0.759327\pi$
$463$	−10.6965	+	6.17564i	−0.497109	+	0.287006i	0.230410	+	0.973094i	$0.425993\pi$
$464$	6.29722	−	18.2353i	0.292341	−	0.846553i
$465$	−8.75048	−	6.86909i	−0.405794	−	0.318547i
$466$	−26.4931	−	26.2747i	−1.22727	−	1.21715i
$467$	−5.58533	−	9.67408i	−0.258458	−	0.447663i	0.707371	−	0.706843i	$-0.249881\pi$
$467$	−5.58533	−	9.67408i	−0.258458	−	0.447663i	−0.965829	+	0.259180i	$0.916548\pi$
$468$	−39.5666	−	4.01152i	−1.82897	−	0.185433i
$469$	2.30351	−	13.0638i	0.106366	−	0.603232i
$470$	6.41324	+	2.95829i	0.295821	+	0.136456i
$471$	15.2330	−	6.11380i	0.701897	−	0.281709i
$472$	−4.19424	+	6.15117i	−0.193056	+	0.283130i
$473$	10.6962	+	12.7473i	0.491813	+	0.586120i
$474$	−14.0523	+	21.7260i	−0.645442	+	0.997906i
$475$	−6.77769	+	8.92693i	−0.310982	+	0.409595i
$476$	4.20202	+	0.705114i	0.192599	+	0.0323188i
$477$	5.01281	−	17.1831i	0.229521	−	0.786758i
$478$	−17.3592	+	1.59116i	−0.793989	+	0.0727779i
$479$	0.0619290	−	0.351217i	0.00282961	−	0.0160475i	−0.983360	−	0.181666i	$-0.941851\pi$
$479$	0.0619290	−	0.351217i	0.00282961	−	0.0160475i	0.986190	+	0.165619i	$0.0529621\pi$
$480$	−11.3568	−	10.2064i	−0.518367	−	0.465856i
$481$	−29.9258	−	25.1107i	−1.36450	−	1.14495i
$482$	19.4668	−	9.17578i	0.886687	−	0.417946i
$483$	−12.5214	+	7.78425i	−0.569743	+	0.354196i
$484$	4.25932	+	4.99155i	0.193605	+	0.226889i
$485$	−2.64872	−	7.27730i	−0.120272	−	0.330445i
$486$	19.9108	+	9.46359i	0.903173	+	0.429277i
$487$	6.34428	+	3.66287i	0.287487	+	0.165981i	0.636808	−	0.771022i	$-0.280254\pi$
$487$	6.34428	+	3.66287i	0.287487	+	0.165981i	−0.349321	+	0.937003i	$0.613588\pi$
$488$	3.91803	+	39.1743i	0.177361	+	1.77334i
$489$	−4.61638	−	5.15078i	−0.208760	−	0.232926i
$490$	13.0706	−	3.56030i	0.590468	−	0.160838i
$491$	−19.9588	−	7.26441i	−0.900728	−	0.327838i	−0.150183	−	0.988658i	$-0.547986\pi$
$491$	−19.9588	−	7.26441i	−0.900728	−	0.327838i	−0.750544	+	0.660820i	$0.770209\pi$
$492$	−1.82079	+	0.0744847i	−0.0820877	+	0.00335803i
$493$	5.56148	+	9.63277i	0.250477	+	0.433838i
$494$	−40.8351	−	1.40467i	−1.83726	−	0.0631990i
$495$	0.846477	+	12.9617i	0.0380463	+	0.582584i
$496$	−10.3861	+	12.8023i	−0.466350	+	0.574840i
$497$	−5.44000	−	6.48314i	−0.244017	−	0.290809i
$498$	−3.57345	−	11.6118i	−0.160130	−	0.520337i
$499$	14.3357	−	2.52778i	0.641756	−	0.113159i	0.156706	−	0.987645i	$-0.449913\pi$
$499$	14.3357	−	2.52778i	0.641756	−	0.113159i	0.485050	+	0.874487i	$0.338801\pi$
$500$	17.9513	−	15.3180i	0.802808	−	0.685041i
$501$	10.7409	+	17.2774i	0.479869	+	0.771896i
$502$	18.9167	+	13.1293i	0.844294	+	0.585988i
$503$	35.1333	−	12.7875i	1.56652	−	0.570166i	0.594300	−	0.804243i	$-0.297429\pi$
$503$	35.1333	−	12.7875i	1.56652	−	0.570166i	0.972218	+	0.234078i	$0.0752070\pi$
$504$	−4.98026	−	6.05274i	−0.221839	−	0.269611i
$505$	−14.3739	−	24.8963i	−0.639631	−	1.10787i
$506$	3.00633	−	36.0820i	0.133647	−	1.60404i
$507$	49.7233	−	19.9566i	2.20829	−	0.886305i
$508$	−33.8480	+	0.280208i	−1.50176	+	0.0124322i
$509$	3.96195	+	10.8854i	0.175610	+	0.482485i	0.996003	−	0.0893145i	$-0.0284676\pi$
$509$	3.96195	+	10.8854i	0.175610	+	0.482485i	−0.820393	+	0.571800i	$0.806245\pi$
$510$	8.73597	−	1.08896i	0.386835	−	0.0482198i
$511$	8.20885	−	1.44744i	0.363138	−	0.0640310i
$512$	−15.3930	+	16.5848i	−0.680281	+	0.732951i
$513$	21.0586	+	8.33878i	0.929760	+	0.368166i
$514$	−12.1668	−	1.01373i	−0.536655	−	0.0447138i
$515$	−1.62036	−	9.18949i	−0.0714014	−	0.404937i
$516$	−20.7304	+	0.848035i	−0.912605	+	0.0373327i
$517$	−8.36645	+	3.04514i	−0.367956	+	0.133925i
$518$	−0.702799	−	7.66737i	−0.0308792	−	0.336885i
$519$	1.09013	+	2.71613i	0.0478513	+	0.119225i
$520$	28.3124	+	7.21072i	1.24158	+	0.316211i
$521$	10.4089	−	6.00955i	0.456020	−	0.263283i	−0.254349	−	0.967112i	$-0.581861\pi$
$521$	10.4089	−	6.00955i	0.456020	−	0.263283i	0.710369	+	0.703829i	$0.248528\pi$
$522$	3.91363	−	20.0845i	0.171295	−	0.879075i
$523$	0.612547	+	1.68296i	0.0267848	+	0.0735906i	0.952364	−	0.304963i	$-0.0986439\pi$
$523$	0.612547	+	1.68296i	0.0267848	+	0.0735906i	−0.925580	+	0.378553i	$0.876422\pi$
$524$	21.5488	−	26.1169i	0.941365	−	1.14092i
$525$	3.49400	−	2.17214i	0.152491	−	0.0947999i
$526$	22.8098	−	22.9994i	0.994556	−	1.00282i
$527$	−1.65049	−	9.36042i	−0.0718967	−	0.407746i
$528$	19.2255	−	0.945953i	0.836685	−	0.0411673i
$529$	47.4303	−	39.7987i	2.06219	−	1.73038i
$530$	−5.50786	+	11.9404i	−0.239246	+	0.518659i
$531$	−3.49427	+	7.08146i	−0.151638	+	0.307309i
$532$	−5.51957	−	5.86398i	−0.239304	−	0.254236i
$533$	3.01969	−	1.74342i	0.130797	−	0.0755159i
$534$	1.44639	+	11.6034i	0.0625915	+	0.502130i
$535$	1.98949	−	5.46609i	0.0860133	−	0.236320i
$536$	−40.4155	+	4.04217i	−1.74569	+	0.174595i
$537$	−23.8448	+	21.3708i	−1.02898	+	0.922219i
$538$	1.36216	−	0.371040i	0.0587270	−	0.0159967i
$539$	−8.53875	+	14.7895i	−0.367790	+	0.637031i
$540$	−13.4391	−	9.03785i	−0.578326	−	0.388927i
$541$	−0.349822	+	0.127325i	−0.0150400	+	0.00547412i	−0.349529	−	0.936925i	$-0.613658\pi$
$541$	−0.349822	+	0.127325i	−0.0150400	+	0.00547412i	0.334489	+	0.942400i	$0.391436\pi$
$542$	12.8724	+	12.7663i	0.552918	+	0.548360i
$543$	−2.03983	−	3.28119i	−0.0875377	−	0.140809i
$544$	−1.40574	−	12.9701i	−0.0602706	−	0.556087i
$545$	9.21571	−	10.9829i	0.394758	−	0.470454i
$546$	13.8164	+	5.83473i	0.591286	+	0.249703i
$547$	36.8553	+	6.49858i	1.57582	+	0.277859i	0.892083	−	0.451871i	$-0.149243\pi$
$547$	36.8553	+	6.49858i	1.57582	+	0.277859i	0.683735	+	0.729730i	$0.260354\pi$
$548$	14.8395	−	0.122848i	0.633912	−	0.00524779i
$549$	9.91569	+	40.5636i	0.423191	+	1.73121i
$550$	−0.838893	+	10.0684i	−0.0357705	+	0.429318i
$551$	2.63752	−	20.8569i	0.112362	−	0.888533i
$552$	33.3260	+	30.4525i	1.41845	+	1.29614i
$553$	7.47486	−	6.27215i	0.317863	−	0.266719i
$554$	−5.34158	+	11.5799i	−0.226942	+	0.491985i
$555$	−5.92556	−	14.7639i	−0.251526	−	0.626695i
$556$	14.0591	−	24.8234i	0.596240	−	1.05275i
$557$	−36.9065	−	6.50761i	−1.56378	−	0.275736i	−0.676315	−	0.736613i	$-0.736424\pi$
$557$	−36.9065	−	6.50761i	−1.56378	−	0.275736i	−0.887464	+	0.460876i	$0.847535\pi$
$558$	−9.01258	+	14.9838i	−0.381533	+	0.634316i
$559$	34.3803	−	19.8495i	1.45413	−	0.839543i
$560$	2.96132	+	4.93850i	0.125139	+	0.208690i
$561$	−6.85274	+	8.72965i	−0.289323	+	0.368566i
$562$	−24.7887	−	2.06538i	−1.04565	−	0.0871227i
$563$	11.9058	+	20.6214i	0.501769	+	0.869089i	0.999998	+	0.00204371i	$0.000650534\pi$
$563$	11.9058	+	20.6214i	0.501769	+	0.869089i	−0.498229	+	0.867045i	$0.666016\pi$
$564$	3.36722	−	10.5780i	0.141786	−	0.445415i
$565$	−5.23682	−	1.90605i	−0.220315	−	0.0801880i
$566$	−21.5082	−	21.3308i	−0.904055	−	0.896602i
$567$	−6.12689	−	5.61959i	−0.257305	−	0.236001i
$568$	−14.5985	+	21.4098i	−0.612540	+	0.898335i
$569$	−22.6542	+	13.0794i	−0.949715	+	0.548318i	−0.892992	−	0.450072i	$-0.851398\pi$
$569$	−22.6542	+	13.0794i	−0.949715	+	0.548318i	−0.0567226	+	0.998390i	$0.518065\pi$
$570$	−14.3952	−	8.34522i	−0.602947	−	0.349543i
$571$	−7.20784	−	4.16145i	−0.301639	−	0.174151i	0.341540	−	0.939867i	$-0.389051\pi$
$571$	−7.20784	−	4.16145i	−0.301639	−	0.174151i	−0.643179	+	0.765716i	$0.722385\pi$
$572$	−31.7429	+	18.6788i	−1.32724	+	0.781002i
$573$	4.73320	−	4.24213i	0.197732	−	0.177217i
$574$	0.664545	+	0.175120i	0.0277376	+	0.00730935i
$575$	−18.1515	+	15.2309i	−0.756971	+	0.635174i
$576$	−13.7111	+	19.6979i	−0.571295	+	0.820744i
$577$	6.57688	−	11.3915i	0.273799	−	0.474234i	−0.696032	−	0.718010i	$-0.745053\pi$
$577$	6.57688	−	11.3915i	0.273799	−	0.474234i	0.969831	+	0.243777i	$0.0783864\pi$
$578$	−13.5714	−	9.41930i	−0.564494	−	0.391791i
$579$	−1.83043	+	12.8103i	−0.0760699	+	0.532379i
$580$	−5.02427	+	14.1679i	−0.208621	+	0.588290i
$581$			4.58170i			0.190081i
$582$	−10.8356	+	5.54613i	−0.449149	+	0.229895i
$583$	−5.66957	−	15.5770i	−0.234810	−	0.645134i
$584$	−11.0726	−	22.9954i	−0.458187	−	0.951556i
$585$	30.8035	+	3.38090i	1.27357	+	0.139783i
$586$	2.28068	+	24.8817i	0.0942140	+	1.02785i
$587$	−3.14631	−	17.8436i	−0.129862	−	0.736484i	−0.978301	−	0.207191i	$-0.933568\pi$
$587$	−3.14631	−	17.8436i	−0.129862	−	0.736484i	0.848439	−	0.529294i	$-0.177543\pi$
$588$	−8.09428	−	19.6942i	−0.333803	−	0.812177i
$589$	−8.21361	+	15.9770i	−0.338436	+	0.658320i
$590$	3.30773	−	4.76579i	0.136177	−	0.196204i
$591$	5.44200	−	16.6186i	0.223854	−	0.683598i
$592$	−22.0168	+	8.42881i	−0.904885	+	0.346422i
$593$	−2.40098	+	2.86137i	−0.0985963	+	0.117503i	−0.813086	−	0.582143i	$-0.802214\pi$
$593$	−2.40098	+	2.86137i	−0.0985963	+	0.117503i	0.714490	+	0.699646i	$0.246659\pi$
$594$	20.0520	−	3.84031i	0.822744	−	0.157570i
$595$	−3.26956	−	0.576512i	−0.134039	−	0.0236347i
$596$	2.34542	−	13.9772i	0.0960722	−	0.572527i
$597$	−10.1606	+	6.31659i	−0.415845	+	0.258521i
$598$	−83.5275	−	22.0110i	−3.41569	−	0.900096i
$599$	1.71314	−	9.71569i	0.0699969	−	0.396972i	−0.929600	−	0.368571i	$-0.879847\pi$
$599$	1.71314	−	9.71569i	0.0699969	−	0.396972i	0.999597	−	0.0284014i	$-0.00904166\pi$
$600$	−9.29938	−	8.49755i	−0.379646	−	0.346911i
$601$	−22.8190			−0.930808			−0.465404	−	0.885098i	$-0.654091\pi$
$601$	−22.8190			−0.930808			−0.465404	+	0.885098i	$0.654091\pi$
$602$	7.56609	+	1.99380i	0.308371	+	0.0812612i
$603$	−41.8488	+	10.2299i	−1.70422	+	0.416592i
$604$	−22.0132	+	18.7840i	−0.895703	+	0.764309i
$605$	−3.28656	−	3.91677i	−0.133618	−	0.159239i
$606$	−36.0367	+	27.2597i	−1.46389	+	1.10735i
$607$	−11.2946	−	6.52094i	−0.458434	−	0.264677i	0.252952	−	0.967479i	$-0.418599\pi$
$607$	−11.2946	−	6.52094i	−0.458434	−	0.264677i	−0.711385	+	0.702802i	$0.751932\pi$
$608$	−12.7076	+	21.1310i	−0.515360	+	0.856974i
$609$	−3.63844	+	6.80511i	−0.147437	+	0.275757i
$610$	−2.80015	−	30.5490i	−0.113375	−	1.23689i
$611$	3.68843	+	20.9181i	0.149218	+	0.846256i
$612$	−3.39694	−	13.4140i	−0.137313	−	0.542227i
$613$	−7.69123	+	6.45371i	−0.310646	+	0.260663i	−0.784759	−	0.619801i	$-0.787213\pi$
$613$	−7.69123	+	6.45371i	−0.310646	+	0.260663i	0.474113	+	0.880464i	$0.342769\pi$
$614$	−26.8550	+	7.31503i	−1.08378	+	0.295211i
$615$	1.41920	−	0.0462919i	0.0572277	−	0.00186667i
$616$	−7.03455	−	1.79158i	−0.283430	−	0.0721850i
$617$	−28.2352	−	4.97862i	−1.13671	−	0.200432i	−0.426541	−	0.904468i	$-0.640268\pi$
$617$	−28.2352	−	4.97862i	−1.13671	−	0.200432i	−0.710164	+	0.704036i	$0.751379\pi$
$618$	−14.0180	+	4.31395i	−0.563887	+	0.173532i
$619$	−18.6165	−	10.7482i	−0.748259	−	0.432007i	0.0768057	−	0.997046i	$-0.475528\pi$
$619$	−18.6165	−	10.7482i	−0.748259	−	0.432007i	−0.825064	+	0.565039i	$0.808861\pi$
$620$	8.17519	−	9.90825i	0.328324	−	0.397925i
$621$	39.5107	+	27.0488i	1.58551	+	1.08543i
$622$	8.00122	+	11.3269i	0.320820	+	0.454165i
$623$	0.765745	−	4.34275i	0.0306789	−	0.173989i
$624$	5.74214	−	45.5614i	0.229869	−	1.82392i
$625$	−4.23714	+	3.55538i	−0.169486	+	0.142215i
$626$	26.2193	+	18.1977i	1.04793	+	0.727324i
$627$	20.2929	−	5.30898i	0.810422	−	0.212020i
$628$	6.62963	+	17.7560i	0.264551	+	0.708543i
$629$	4.64888	−	12.7727i	0.185363	−	0.509280i
$630$	3.84146	+	4.74828i	0.153047	+	0.189176i
$631$	−22.3141	+	26.5929i	−0.888309	+	1.05865i	0.109597	+	0.993976i	$0.465044\pi$
$631$	−22.3141	+	26.5929i	−0.888309	+	1.05865i	−0.997907	+	0.0646699i	$0.979401\pi$
$632$	−24.6848	−	16.8316i	−0.981910	−	0.669526i
$633$	−21.6752	+	27.6119i	−0.861513	+	1.09747i
$634$	8.22400	+	17.4475i	0.326617	+	0.692929i
$635$	26.3754			1.04668
$636$	19.6946	+	6.26924i	0.780942	+	0.248592i
$637$	31.2100	+	26.1883i	1.23658	+	1.03762i
$638$	−8.07975	−	17.1415i	−0.319881	−	0.678638i
$639$	−12.1622	+	24.6478i	−0.481129	+	0.975052i
$640$	12.1008	−	12.8232i	0.478328	−	0.506881i
$641$	1.14366	−	3.14218i	0.0451718	−	0.124109i	−0.915056	−	0.403328i	$-0.867853\pi$
$641$	1.14366	−	3.14218i	0.0451718	−	0.124109i	0.960227	+	0.279219i	$0.0900756\pi$
$642$	−8.91238	−	2.04033i	−0.351744	−	0.0805252i
$643$	−10.8591	+	29.8351i	−0.428241	+	1.17658i	0.518639	+	0.854993i	$0.326439\pi$
$643$	−10.8591	+	29.8351i	−0.428241	+	1.17658i	−0.946880	+	0.321588i	$0.895783\pi$
$644$	−8.63410	−	14.6728i	−0.340231	−	0.578191i
$645$	16.1581	−	0.527051i	0.636225	−	0.0207526i
$646$	−4.40021	−	13.5185i	−0.173124	−	0.531877i
$647$	43.8882			1.72542			0.862711	−	0.505697i	$-0.168765\pi$
$647$	43.8882			1.72542			0.862711	+	0.505697i	$0.168765\pi$
$648$	−11.4837	+	22.7184i	−0.451121	+	0.892463i
$649$	1.26992	+	7.20205i	0.0498486	+	0.282705i
$650$	23.3077	+	6.14200i	0.914204	+	0.240909i
$651$	4.91052	−	4.40104i	0.192458	−	0.172490i
$652$	6.07552	−	5.18428i	0.237936	−	0.203032i
$653$	−28.2822	+	16.3287i	−1.10677	+	0.638992i	−0.937990	−	0.346662i	$-0.887315\pi$
$653$	−28.2822	+	16.3287i	−1.10677	+	0.638992i	−0.168777	+	0.985654i	$0.553982\pi$
$654$	−18.9219	−	12.2386i	−0.739906	−	0.478568i
$655$	−16.9588	+	20.2107i	−0.662635	+	0.789697i
$656$	−0.0348371	−	2.10394i	−0.00136016	−	0.0821451i
$657$	−15.0343	−	22.5119i	−0.586543	−	0.878272i
$658$	−2.38701	+	3.43922i	−0.0930555	+	0.134075i
$659$	−21.7954	+	7.93288i	−0.849029	+	0.309021i	−0.729644	−	0.683827i	$-0.760314\pi$
$659$	−21.7954	+	7.93288i	−0.849029	+	0.309021i	−0.119384	+	0.992848i	$0.538092\pi$
$660$	−14.9862	+	0.613052i	−0.583337	+	0.0238630i
$661$	20.2091	−	7.35550i	0.786042	−	0.286096i	0.0823521	−	0.996603i	$-0.473757\pi$
$661$	20.2091	−	7.35550i	0.786042	−	0.286096i	0.703690	+	0.710508i	$0.251535\pi$
$662$	6.46357	+	2.98150i	0.251214	+	0.115879i
$663$	17.6710	+	19.7166i	0.686285	+	0.765731i
$664$	13.5045	−	3.79887i	0.524078	−	0.147425i
$665$	4.26290	+	4.60468i	0.165308	+	0.178562i
$666$	−21.8756	+	12.1127i	−0.847662	+	0.469356i
$667$	15.2007	−	41.7636i	0.588573	−	1.61709i
$668$	−20.2460	+	11.9136i	−0.783341	+	0.460950i
$669$	39.8987	+	5.70100i	1.54257	+	0.220413i
$670$	31.5169	−	2.88887i	1.21760	−	0.111607i
$671$	29.6248	+	24.8581i	1.14365	+	0.959637i
$672$	7.12693	−	5.57899i	0.274927	−	0.215214i
$673$	19.1121	−	33.1031i	0.736717	−	1.27603i	−0.217248	−	0.976116i	$-0.569708\pi$
$673$	19.1121	−	33.1031i	0.736717	−	1.27603i	0.953966	−	0.299915i	$-0.0969585\pi$
$674$	−9.07589	−	33.3194i	−0.349590	−	1.28342i
$675$	−11.0252	−	7.54776i	−0.424358	−	0.290513i
$676$	21.6404	+	57.9591i	0.832323	+	2.22920i
$677$			1.79454i			0.0689698i	0.999405	+	0.0344849i	$0.0109791\pi$
$677$			1.79454i			0.0689698i	−0.999405	+	0.0344849i	$0.989021\pi$
$678$	−1.95475	+	8.53856i	−0.0750716	+	0.327921i
$679$	4.52075	−	0.797130i	0.173490	−	0.0305910i
$680$	1.01166	+	10.1150i	0.0387953	+	0.387894i
$681$	8.93760	−	8.01031i	0.342490	−	0.306956i
$682$	1.47811	+	16.1258i	0.0565998	+	0.617490i
$683$	−18.3934			−0.703803			−0.351901	−	0.936037i	$-0.614465\pi$
$683$	−18.3934			−0.703803			−0.351901	+	0.936037i	$0.614465\pi$
$684$	−10.2175	+	24.0750i	−0.390675	+	0.920529i
$685$	−11.5634			−0.441814
$686$	1.56767	+	17.1029i	0.0598538	+	0.652991i
$687$	−4.03718	−	1.32203i	−0.154028	−	0.0504386i
$688$	−0.396632	−	23.9541i	−0.0151215	−	0.913243i
$689$	−38.9462	+	6.86727i	−1.48373	+	0.261622i
$690$	−25.7704	−	23.9428i	−0.981063	−	0.911488i
$691$		−	20.9229i		−	0.795945i	−0.917397	−	0.397973i	$-0.869714\pi$
$691$		−	20.9229i		−	0.795945i	0.917397	−	0.397973i	$-0.130286\pi$
$692$	−3.16601	+	1.18210i	−0.120354	+	0.0449369i
$693$	−7.65348	−	0.840023i	−0.290732	−	0.0319098i
$694$	2.43342	+	8.93358i	0.0923714	+	0.339114i
$695$	−11.1147	+	19.2511i	−0.421603	+	0.730237i
$696$	23.0748	+	5.08190i	0.874648	+	0.192629i
$697$	0.929373	+	0.779837i	0.0352025	+	0.0295384i
$698$	41.3384	−	3.78912i	1.56468	−	0.143420i
$699$	28.2177	−	35.9463i	1.06729	−	1.35961i
$700$	2.40928	+	4.09435i	0.0910623	+	0.154752i
$701$	−13.9837	+	38.4199i	−0.528157	+	1.45110i	0.333081	+	0.942898i	$0.391912\pi$
$701$	−13.9837	+	38.4199i	−0.528157	+	1.45110i	−0.861238	+	0.508201i	$0.830311\pi$
$702$	−0.715634	−	48.7022i	−0.0270098	−	1.83815i
$703$	−21.5962	+	13.9139i	−0.814517	+	0.524774i
$704$	0.551935	+	22.2198i	0.0208018	+	0.837438i
$705$	−2.69189	+	8.22042i	−0.101383	+	0.309599i
$706$	9.46545	+	4.36621i	0.356237	+	0.164324i
$707$	16.0127	−	5.82815i	0.602220	−	0.219190i
$708$	−8.07640	−	4.23256i	−0.303530	−	0.159069i
$709$	4.58118	−	1.66741i	0.172050	−	0.0626210i	−0.254559	−	0.967057i	$-0.581930\pi$
$709$	4.58118	−	1.66741i	0.172050	−	0.0626210i	0.426609	+	0.904436i	$0.359708\pi$
$710$	11.5129	−	16.5878i	0.432072	−	0.622531i
$711$	−28.4181	−	14.0226i	−1.06576	−	0.525890i
$712$	−13.4352	+	1.34372i	−0.503504	+	0.0503581i
$713$	−24.4120	+	29.0930i	−0.914235	+	1.08954i
$714$	−0.263522	+	5.21170i	−0.00986206	+	0.195043i
$715$	24.8538	−	14.3494i	0.929480	−	0.536636i
$716$	−23.9998	−	28.1257i	−0.896915	−	1.05111i
$717$	−4.39081	−	20.8933i	−0.163978	−	0.780274i
$718$	0.124596	+	0.0328333i	0.00464989	+	0.00122533i
$719$	−8.79161	−	49.8597i	−0.327872	−	1.85945i	−0.488675	−	0.872466i	$-0.662520\pi$
$719$	−8.79161	−	49.8597i	−0.327872	−	1.85945i	0.160804	−	0.986986i	$-0.448591\pi$
$720$	10.8104	−	15.2597i	0.402880	−	0.568694i
$721$	5.53114			0.205990
$722$	−8.82665	+	25.3789i	−0.328494	+	0.944506i
$723$	13.9160	+	22.3846i	0.517541	+	0.832492i
$724$	3.84496	−	2.26253i	0.142897	−	0.0840864i
$725$	−4.24164	+	11.6538i	−0.157531	+	0.432812i
$726$	−5.47009	+	5.88763i	−0.203014	+	0.218510i
$727$	2.44059	−	6.70547i	0.0905165	−	0.248692i	−0.886171	−	0.463358i	$-0.846644\pi$
$727$	2.44059	−	6.70547i	0.0905165	−	0.248692i	0.976687	+	0.214666i	$0.0688665\pi$
$728$	−7.12346	+	15.7851i	−0.264013	+	0.585036i
$729$	−8.69699	+	25.5610i	−0.322111	+	0.946702i
$730$	8.47918	+	17.9889i	0.313828	+	0.665798i
$731$	10.5813	+	8.87872i	0.391362	+	0.328391i
$732$	−47.1035	+	10.3069i	−1.74099	+	0.380952i
$733$	34.6414			1.27951			0.639754	−	0.768580i	$-0.279036\pi$
$733$	34.6414			1.27951			0.639754	+	0.768580i	$0.279036\pi$
$734$	18.8698	+	40.0330i	0.696498	+	1.47765i
$735$	6.17984	+	15.3975i	0.227947	+	0.567945i
$736$	−36.0892	+	37.6148i	−1.33027	+	1.38650i
$737$	−25.6457	+	30.5634i	−0.944673	+	1.12582i
$738$	−0.348127	−	2.20456i	−0.0128147	−	0.0811508i
$739$	2.61591	−	7.18715i	0.0962278	−	0.264384i	−0.882234	−	0.470811i	$-0.843961\pi$
$739$	2.61591	−	7.18715i	0.0962278	−	0.264384i	0.978462	+	0.206427i	$0.0661836\pi$
$740$	17.2093	−	6.42552i	0.632628	−	0.236207i
$741$	−4.06640	−	49.8767i	−0.149383	−	1.83227i
$742$	−6.40329	−	4.44424i	−0.235072	−	0.163153i
$743$	−19.6371	+	16.4775i	−0.720416	+	0.604501i	−0.927500	−	0.373822i	$-0.878047\pi$
$743$	−19.6371	+	16.4775i	−0.720416	+	0.604501i	0.207084	+	0.978323i	$0.433603\pi$
$744$	−17.0435	−	10.8246i	−0.624847	−	0.396850i
$745$	−1.91765	+	10.8756i	−0.0702574	+	0.398449i
$746$	9.70156	+	13.7339i	0.355199	+	0.502835i
$747$	13.6209	−	5.98952i	0.498364	−	0.219145i
$748$	−9.88466	−	8.15573i	−0.361419	−	0.298203i
$749$	2.98604	+	1.72399i	0.109108	+	0.0629933i
$750$	21.1739	+	19.6723i	0.773163	+	0.718332i
$751$	3.09433	+	0.545614i	0.112914	+	0.0199097i	0.229819	−	0.973233i	$-0.426186\pi$
$751$	3.09433	+	0.545614i	0.112914	+	0.0199097i	−0.116906	+	0.993143i	$0.537298\pi$
$752$	12.1162	+	4.18412i	0.441834	+	0.152579i
$753$	−13.2971	+	24.8700i	−0.484572	+	0.906313i
$754$	−43.6204	+	11.8818i	−1.58856	+	0.432709i
$755$	17.2733	−	14.4940i	0.628640	−	0.527492i
$756$	6.65912	−	6.91478i	0.242190	−	0.251488i
$757$	−0.841987	−	4.77515i	−0.0306025	−	0.173556i	0.965676	−	0.259751i	$-0.0836403\pi$
$757$	−0.841987	−	4.77515i	−0.0306025	−	0.173556i	−0.996278	+	0.0861949i	$0.972529\pi$
$758$	−1.23044	−	13.4238i	−0.0446914	−	0.487573i
$759$	44.3208	−	1.44567i	1.60874	−	0.0524745i
$760$	10.0377	−	16.3828i	0.364107	−	0.594266i
$761$	0.433654	+	0.250370i	0.0157199	+	0.00907591i	0.507839	−	0.861452i	$-0.330444\pi$
$761$	0.433654	+	0.250370i	0.0157199	+	0.00907591i	−0.492119	+	0.870528i	$0.663778\pi$
$762$	−5.12796	−	41.1382i	−0.185767	−	1.49028i
$763$	5.46265	+	6.51013i	0.197761	+	0.235683i
$764$	4.76398	+	5.58297i	0.172355	+	0.201985i
$765$	2.56029	+	10.4737i	0.0925674	+	0.378679i
$766$	40.0488	+	10.5536i	1.44702	+	0.381316i
$767$	17.4470			0.629974
$768$	−22.3533	−	16.3808i	−0.806604	−	0.591092i
$769$	3.35061	−	19.0022i	0.120826	−	0.685239i	−0.862874	−	0.505420i	$-0.831338\pi$
$769$	3.35061	−	19.0022i	0.120826	−	0.685239i	0.983700	−	0.179819i	$-0.0575512\pi$
$770$	5.46959	+	1.44134i	0.197110	+	0.0519421i
$771$	−0.487479	−	14.9449i	−0.0175561	−	0.538229i
$772$	−14.7363	−	2.47280i	−0.530371	−	0.0889982i
$773$	11.9875	+	2.11372i	0.431160	+	0.0760252i	0.385017	−	0.922910i	$-0.374196\pi$
$773$	11.9875	+	2.11372i	0.431160	+	0.0760252i	0.0461436	+	0.998935i	$0.485307\pi$
$774$	−3.96355	−	25.0997i	−0.142467	−	0.902189i
$775$	6.81198	−	8.11820i	0.244693	−	0.291614i
$776$	−6.09786	−	12.6639i	−0.218901	−	0.454609i
$777$	9.22836	−	1.93938i	0.331065	−	0.0695747i
$778$	−7.29954	+	10.5172i	−0.261701	+	0.377060i
$779$	−0.507734	−	2.23611i	−0.0181915	−	0.0801171i
$780$	−4.76802	+	35.4633i	−0.170723	+	1.26979i
$781$	4.42008	+	25.0675i	0.158163	+	0.896986i
$782$	−2.74334	−	29.9292i	−0.0981017	−	1.07027i
$783$	24.9874	+	1.92061i	0.892975	+	0.0686371i
$784$	22.9616	−	8.79051i	0.820057	−	0.313947i
$785$	−5.05112	−	13.8778i	−0.180282	−	0.495321i
$786$	34.8202	+	22.5216i	1.24200	+	0.803318i
$787$		−	3.58252i		−	0.127703i	−0.997959	−	0.0638514i	$-0.979662\pi$
$787$		−	3.58252i		−	0.127703i	0.997959	−	0.0638514i	$-0.0203384\pi$
$788$	19.0310	+	6.74883i	0.677950	+	0.240417i
$789$	31.2060	+	24.4966i	1.11096	+	0.872101i
$790$	19.1253	+	13.2740i	0.680446	+	0.472269i
$791$	1.65168	−	2.86080i	0.0587270	−	0.101718i
$792$	3.86984	+	23.2551i	0.137509	+	0.826334i
$793$	70.6758	−	59.3040i	2.50977	−	2.10595i
$794$	11.8127	+	3.11286i	0.419217	+	0.110471i
$795$	−15.3051	−	5.01188i	−0.542817	−	0.177753i
$796$	−7.00621	−	11.9064i	−0.248329	−	0.422011i
$797$	15.1583	+	8.75164i	0.536934	+	0.309999i	0.743835	−	0.668363i	$-0.233005\pi$
$797$	15.1583	+	8.75164i	0.536934	+	0.309999i	−0.206902	+	0.978362i	$0.566338\pi$
$798$	6.35321	−	7.54418i	0.224901	−	0.267061i
$799$	−6.40038	+	3.69526i	−0.226429	+	0.130729i
$800$	10.0704	−	10.4961i	0.356044	−	0.371094i
$801$	−13.9116	+	3.40067i	−0.491543	+	0.120157i
$802$	−3.82226	−	3.79075i	−0.134969	−	0.133856i
$803$	−23.5583	−	8.57453i	−0.831356	−	0.302589i
$804$	−10.6334	−	48.5959i	−0.375012	−	1.71385i
$805$	6.63284	+	11.4884i	0.233777	+	0.404914i
$806$	38.4993	+	3.20773i	1.35608	+	0.112988i
$807$	0.644038	+	1.60466i	0.0226712	+	0.0564869i
$808$	−30.4552	−	42.3650i	−1.07141	−	1.49040i
$809$	8.50204	−	4.90866i	0.298916	−	0.172579i	−0.343040	−	0.939321i	$-0.611457\pi$
$809$	8.50204	−	4.90866i	0.298916	−	0.172579i	0.641956	+	0.766742i	$0.278123\pi$
$810$	9.09434	−	17.6276i	0.319542	−	0.619369i
$811$	16.9636	+	2.99113i	0.595671	+	0.105033i	0.463352	−	0.886174i	$-0.346647\pi$
$811$	16.9636	+	2.99113i	0.595671	+	0.105033i	0.132319	+	0.991207i	$0.457758\pi$
$812$	−7.75334	−	4.39122i	−0.272089	−	0.154102i
$813$	−13.7103	+	17.4655i	−0.480843	+	0.612542i
$814$	−9.69982	+	21.0281i	−0.339979	+	0.737036i
$815$	−4.76734	+	4.00028i	−0.166993	+	0.140124i
$816$	15.5799	−	3.54449i	0.545407	−	0.124082i
$817$	−5.78074	−	25.4590i	−0.202242	−	0.890696i
$818$	−1.30169	+	15.6229i	−0.0455125	+	0.546241i
$819$	−5.14422	+	17.6335i	−0.179754	+	0.616165i
$820$	0.0135730	+	1.63957i	0.000473991	+	0.0572561i
$821$	−20.3189	−	3.58278i	−0.709136	−	0.125040i	−0.192565	−	0.981284i	$-0.561681\pi$
$821$	−20.3189	−	3.58278i	−0.709136	−	0.125040i	−0.516571	+	0.856244i	$0.672792\pi$
$822$	2.24818	+	18.0356i	0.0784142	+	0.629065i
$823$	−0.217887	+	0.259668i	−0.00759507	+	0.00905145i	−0.769829	−	0.638251i	$-0.779658\pi$
$823$	−0.217887	+	0.259668i	−0.00759507	+	0.00905145i	0.762234	+	0.647302i	$0.224103\pi$
$824$	−4.58608	−	16.3030i	−0.159764	−	0.567942i
$825$	−12.3674	+	0.403403i	−0.430577	+	0.0140447i
$826$	2.44156	+	2.42143i	0.0849526	+	0.0842522i
$827$	35.6500	−	12.9755i	1.23967	−	0.451204i	0.362773	−	0.931878i	$-0.381830\pi$
$827$	35.6500	−	12.9755i	1.23967	−	0.451204i	0.876900	+	0.480674i	$0.159608\pi$
$828$	−32.3338	+	44.8497i	−1.12368	+	1.55863i
$829$	8.75620	−	15.1662i	0.304115	−	0.526743i	−0.672949	−	0.739689i	$-0.734973\pi$
$829$	8.75620	−	15.1662i	0.304115	−	0.526743i	0.977064	+	0.212946i	$0.0683059\pi$
$830$	−10.5469	+	2.87288i	−0.366089	+	0.0997191i
$831$	−14.8431	−	4.86057i	−0.514900	−	0.168611i
$832$	52.4329	+	7.90828i	1.81779	+	0.274170i
$833$	−4.84837	+	13.3208i	−0.167986	+	0.461538i
$834$	32.1873	+	13.5929i	1.11456	+	0.470684i
$835$	15.8520	−	9.15218i	0.548583	−	0.316724i
$836$	5.55845	+	23.5745i	0.192243	+	0.815339i
$837$	−19.5032	−	8.84513i	−0.674130	−	0.305732i
$838$	−5.62461	+	12.1935i	−0.194299	+	0.421219i
$839$	−23.0465	+	19.3383i	−0.795654	+	0.667633i	−0.947138	−	0.320827i	$-0.896039\pi$
$839$	−23.0465	+	19.3383i	−0.795654	+	0.667633i	0.151484	+	0.988460i	$0.451595\pi$
$840$	−5.58912	+	4.30105i	−0.192843	+	0.148400i
$841$	0.996505	+	5.65146i	0.0343622	+	0.194878i
$842$	13.0645	−	13.1731i	0.450231	−	0.453974i
$843$	−0.993191	−	30.4488i	−0.0342073	−	1.04871i
$844$	−31.2652	−	25.7966i	−1.07619	−	0.887955i
$845$	−16.4878	−	45.3000i	−0.567199	−	1.55837i
$846$	13.3449	+	2.60037i	0.458808	+	0.0894025i
$847$	2.62470	−	1.51537i	0.0901857	−	0.0520687i
$848$	−7.79016	+	22.5585i	−0.267515	+	0.774663i
$849$	22.9082	−	29.1826i	0.786207	−	1.00154i
$850$	0.765510	+	8.35153i	0.0262568	+	0.286455i
$851$	−51.0356	+	18.5754i	−1.74948	+	0.636758i
$852$	−28.1108	−	14.7319i	−0.963059	−	0.504706i
$853$	0.363805	+	2.06324i	0.0124564	+	0.0706440i	0.990402	−	0.138214i	$-0.0441363\pi$
$853$	0.363805	+	2.06324i	0.0124564	+	0.0706440i	−0.977946	+	0.208858i	$0.933025\pi$
$854$	18.1211	+	1.50984i	0.620093	+	0.0516657i
$855$	8.11650	−	18.6927i	0.277579	−	0.639278i
$856$	2.60561	−	10.2308i	0.0890580	−	0.349681i
$857$	12.1488	−	2.14217i	0.414996	−	0.0731750i	0.0377482	−	0.999287i	$-0.487982\pi$
$857$	12.1488	−	2.14217i	0.414996	−	0.0731750i	0.377248	+	0.926112i	$0.376870\pi$
$858$	−27.2131	−	35.9752i	−0.929041	−	1.22817i
$859$	0.957068	+	2.62952i	0.0326548	+	0.0897182i	0.954949	−	0.296771i	$-0.0959098\pi$
$859$	0.957068	+	2.62952i	0.0326548	+	0.0897182i	−0.922294	+	0.386489i	$0.873688\pi$
$860$	0.154534	+	18.6671i	0.00526956	+	0.636541i
$861$	−0.119056	+	0.833221i	−0.00405743	+	0.0283961i
$862$	4.17280	−	50.0820i	0.142126	−	1.70580i
$863$	9.44017	+	16.3509i	0.321347	+	0.556589i	0.980766	−	0.195186i	$-0.0625311\pi$
$863$	9.44017	+	16.3509i	0.321347	+	0.556589i	−0.659419	+	0.751775i	$0.729198\pi$
$864$	−25.9026	−	13.8944i	−0.881225	−	0.472697i
$865$	2.47450	−	0.900646i	0.0841356	−	0.0306229i
$866$	−20.7577	−	14.4070i	−0.705376	−	0.489571i
$867$	9.53969	−	17.8424i	0.323985	−	0.605961i
$868$	4.94245	+	5.79212i	0.167758	+	0.196597i
$869$	−28.9021	+	5.09621i	−0.980435	+	0.172877i
$870$	−17.9466	−	4.10854i	−0.608445	−	0.139292i
$871$	61.1830	+	72.9151i	2.07311	+	2.47063i
$872$	14.6593	−	21.4989i	0.496426	−	0.728046i
$873$	−8.27962	−	12.3977i	−0.280223	−	0.419597i
$874$	−30.0769	+	48.1890i	−1.01737	+	1.63002i
$875$	−5.44979	−	9.43932i	−0.184237	−	0.319107i
$876$	26.4091	−	16.7226i	0.892281	−	0.565004i
$877$	−18.7708	−	6.83202i	−0.633845	−	0.230701i	0.00505884	−	0.999987i	$-0.498390\pi$
$877$	−18.7708	−	6.83202i	−0.633845	−	0.230701i	−0.638904	+	0.769286i	$0.720612\pi$
$878$	3.03978	−	0.828007i	0.102588	−	0.0279439i
$879$	−29.9473	+	6.29355i	−1.01010	+	0.212276i
$880$	−0.286729	−	17.3167i	−0.00966564	−	0.583745i
$881$	−19.9891	−	11.5407i	−0.673451	−	0.388817i	0.123932	−	0.992291i	$-0.460450\pi$
$881$	−19.9891	−	11.5407i	−0.673451	−	0.388817i	−0.797383	+	0.603473i	$0.793783\pi$
$882$	22.8143	−	12.6324i	0.768198	−	0.425357i
$883$	−13.3436	−	36.6612i	−0.449047	−	1.23375i	−0.933388	−	0.358868i	$-0.883163\pi$
$883$	−13.3436	−	36.6612i	−0.449047	−	1.23375i	0.484341	−	0.874879i	$-0.339059\pi$
$884$	−23.2565	+	19.8449i	−0.782199	+	0.667455i
$885$	6.26564	+	3.35000i	0.210617	+	0.112609i
$886$	2.43140	−	1.14605i	0.0816843	−	0.0385024i
$887$	−1.56981	−	1.31723i	−0.0527091	−	0.0442282i	0.616053	−	0.787705i	$-0.288731\pi$
$887$	−1.56981	−	1.31723i	−0.0527091	−	0.0442282i	−0.668762	+	0.743477i	$0.733175\pi$
$888$	−13.3679	−	25.5925i	−0.448597	−	0.858828i
$889$	−2.71483	+	15.3966i	−0.0910526	+	0.516385i
$890$	10.4770	−	0.960334i	0.351190	−	0.0321905i
$891$	7.50786	+	23.8512i	0.251523	+	0.799045i
$892$	−7.70173	+	45.8973i	−0.257873	+	1.53676i
$893$	13.8581	+	1.75247i	0.463744	+	0.0586442i
$894$	17.3357	+	0.876553i	0.579791	+	0.0293163i
$895$	18.5187	+	22.0697i	0.619011	+	0.737708i
$896$	6.23997	+	8.38375i	0.208463	+	0.280081i
$897$	14.9643	−	104.729i	0.499644	−	3.49678i
$898$	22.6656	+	10.4551i	0.756361	+	0.348893i
$899$	−3.45166	+	19.5754i	−0.115119	+	0.652875i
$900$	9.02251	−	12.5150i	0.300750	−	0.417166i
$901$	−6.88000	−	11.9165i	−0.229206	−	0.396996i
$902$	−1.46760	−	1.45550i	−0.0488656	−	0.0484628i
$903$	−1.35550	+	9.48652i	−0.0451082	+	0.315692i
$904$	−9.80165	−	2.49632i	−0.325998	−	0.0830264i
$905$	−3.01050	+	1.73811i	−0.100072	+	0.0577768i
$906$	−25.9650	−	24.1236i	−0.862628	−	0.801452i
$907$	1.25354	−	3.44407i	0.0416231	−	0.114359i	−0.917140	−	0.398566i	$-0.869508\pi$
$907$	1.25354	−	3.44407i	0.0416231	−	0.114359i	0.958763	+	0.284207i	$0.0917303\pi$
$908$	8.99572	+	10.5422i	0.298533	+	0.349855i
$909$	−38.2595	−	39.9853i	−1.26899	−	1.32623i
$910$	5.65225	−	12.2535i	0.187370	−	0.406198i
$911$	−10.1210	−	17.5300i	−0.335322	−	0.580795i	0.648225	−	0.761449i	$-0.275512\pi$
$911$	−10.1210	−	17.5300i	−0.335322	−	0.580795i	−0.983547	+	0.180654i	$0.942178\pi$
$912$	−27.5041	−	12.4709i	−0.910753	−	0.412952i
$913$	6.89010	−	11.9340i	0.228029	−	0.394958i
$914$	−13.5520	−	19.1847i	−0.448260	−	0.634575i
$915$	36.7684	−	7.72702i	1.21553	−	0.255447i
$916$	1.63950	−	4.62322i	0.0541706	−	0.152755i
$917$	−10.0524	−	11.9800i	−0.331959	−	0.395614i
$918$	15.8383	−	6.02966i	0.522743	−	0.199009i
$919$	−25.3019	−	14.6081i	−0.834633	−	0.481876i	0.0208033	−	0.999784i	$-0.493378\pi$
$919$	−25.3019	−	14.6081i	−0.834633	−	0.481876i	−0.855436	+	0.517908i	$0.826711\pi$
$920$	28.3625	−	29.0758i	0.935084	−	0.958600i
$921$	−12.6972	−	31.6359i	−0.418386	−	1.04244i
$922$	−10.1824	+	38.6402i	−0.335339	+	1.27255i
$923$	60.7261			1.99882
$924$	1.18467	−	8.81127i	0.0389728	−	0.289869i
$925$	14.2411	−	5.18334i	0.468245	−	0.170427i
$926$	14.2668	−	10.0780i	0.468837	−	0.331183i
$927$	−7.23069	−	16.4435i	−0.237487	−	0.540076i
$928$	−6.51449	+	26.4939i	−0.213849	+	0.869704i
$929$	46.5540	−	8.20873i	1.52739	−	0.269320i	0.654056	−	0.756446i	$-0.273066\pi$
$929$	46.5540	−	8.20873i	1.52739	−	0.269320i	0.873331	+	0.487126i	$0.161955\pi$
$930$	13.2101	+	8.54424i	0.433176	+	0.280177i
$931$	22.5230	−	14.5110i	0.738160	−	0.475579i
$932$	40.7023	+	33.5830i	1.33325	+	1.10005i
$933$	−12.6481	+	11.3358i	−0.414080	+	0.371119i
$934$	9.11467	+	12.9031i	0.298241	+	0.422202i
$935$	7.64928	+	6.41851i	0.250158	+	0.209908i
$936$	56.2399	+	0.541919i	1.83826	+	0.0177132i
$937$	−7.21371	+	40.9110i	−0.235662	+	1.33650i	0.605554	+	0.795804i	$0.292952\pi$
$937$	−7.21371	+	40.9110i	−0.235662	+	1.33650i	−0.841216	+	0.540700i	$0.818160\pi$
$938$	−1.55768	+	18.6953i	−0.0508601	+	0.610423i
$939$	−18.4302	+	34.4707i	−0.601448	+	1.12491i
$940$	−9.41370	−	3.33832i	−0.307041	−	0.108884i
$941$	28.3624	+	5.00106i	0.924588	+	0.163030i	0.615620	−	0.788043i	$-0.288906\pi$
$941$	28.3624	+	5.00106i	0.924588	+	0.163030i	0.308967	+	0.951073i	$0.400017\pi$
$942$	−20.6635	+	10.5765i	−0.673253	+	0.344601i
$943$		−	4.84761i		−	0.157860i
$944$	5.11275	−	9.20417i	0.166406	−	0.299570i
$945$	−5.23323	+	5.34488i	−0.170237	+	0.173869i
$946$	−16.7091	−	16.5714i	−0.543260	−	0.538781i
$947$	30.7056	−	25.7651i	0.997798	−	0.837252i	0.0111204	−	0.999938i	$-0.496460\pi$
$947$	30.7056	−	25.7651i	0.997798	−	0.837252i	0.986678	+	0.162686i	$0.0520158\pi$
$948$	16.9854	−	32.4109i	0.551660	−	1.05266i
$949$	−29.9050	+	51.7971i	−0.970759	+	1.68140i
$950$	8.39274	−	13.4468i	0.272296	−	0.436271i
$951$	−20.0627	+	12.4725i	−0.650577	+	0.404448i
$952$	−6.00877	−	0.450592i	−0.194745	−	0.0146038i
$953$	−25.0363	+	4.41458i	−0.811006	+	0.143002i	−0.563747	−	0.825947i	$-0.690641\pi$
$953$	−25.0363	+	4.41458i	−0.811006	+	0.143002i	−0.247258	+	0.968950i	$0.579530\pi$
$954$	−4.84148	+	24.8462i	−0.156749	+	0.804424i
$955$	−3.67597	−	4.38085i	−0.118952	−	0.141761i
$956$	24.2417	−	4.48169i	0.784032	−	0.144948i
$957$	19.7108	−	12.2537i	0.637160	−	0.396107i
$958$	−0.0418777	+	0.502616i	−0.00135301	+	0.0162388i
$959$	1.19023	−	6.75010i	0.0384344	−	0.217972i
$960$	17.3115	+	12.9077i	0.558725	+	0.416595i
$961$	−7.00718	+	12.1368i	−0.226038	+	0.391510i
$962$	45.3863	+	31.5007i	1.46331	+	1.01562i
$963$	1.22170	−	11.1309i	0.0393686	−	0.358689i
$964$	−26.2308	+	15.4353i	−0.844836	+	0.497136i
$965$	11.4662	+	2.02180i	0.369111	+	0.0650842i
$966$	16.6292	−	12.5790i	0.535035	−	0.404722i
$967$	−11.9214	−	14.2074i	−0.383368	−	0.456880i	0.539506	−	0.841982i	$-0.318611\pi$
$967$	−11.9214	−	14.2074i	−0.383368	−	0.456880i	−0.922874	+	0.385102i	$0.874166\pi$
$968$	−6.64279	−	6.47983i	−0.213507	−	0.208270i
$969$	15.8236	−	7.26498i	0.508327	−	0.233385i
$970$	4.66962	+	9.90677i	0.149933	+	0.318087i
$971$	−5.21874	−	1.89947i	−0.167477	−	0.0609567i	0.256921	−	0.966432i	$-0.417292\pi$
$971$	−5.21874	−	1.89947i	−0.167477	−	0.0609567i	−0.424398	+	0.905476i	$0.639514\pi$
$972$	−29.2622	−	10.7574i	−0.938586	−	0.345045i
$973$	−10.0938	−	8.46969i	−0.323592	−	0.271526i
$974$	−9.40755	−	4.33950i	−0.301437	−	0.139046i
$975$	−4.17568	+	29.2237i	−0.133729	+	0.935908i
$976$	−10.5747	−	54.6638i	−0.338488	−	1.74975i
$977$			28.0711i			0.898073i	0.893514	+	0.449036i	$0.148233\pi$
$977$			28.0711i			0.898073i	−0.893514	+	0.449036i	$0.851767\pi$
$978$	7.16619	+	6.65798i	0.229150	+	0.212899i
$979$	−8.52530	+	10.1601i	−0.272470	+	0.324717i
$980$	−17.9478	+	6.70125i	−0.573322	+	0.214063i
$981$	12.2128	−	24.7504i	0.389925	−	0.790220i
$982$	29.0459	+	7.65411i	0.926892	+	0.244253i
$983$	−25.4508	−	9.26332i	−0.811753	−	0.295454i	−0.0974052	−	0.995245i	$-0.531054\pi$
$983$	−25.4508	−	9.26332i	−0.811753	−	0.295454i	−0.714348	+	0.699791i	$0.753276\pi$
$984$	2.55463	−	0.339939i	0.0814385	−	0.0108368i
$985$	−14.7849	−	5.38128i	−0.471088	−	0.171462i
$986$	−9.07576	−	12.8480i	−0.289031	−	0.409164i
$987$	−4.52158	−	2.41752i	−0.143923	−	0.0769506i
$988$	57.6898	−	3.29308i	1.83536	−	0.104767i
$989$		−	55.1918i		−	1.75500i
$990$	−2.86529	−	18.1448i	−0.0910647	−	0.576679i
$991$	−11.0066	+	1.94076i	−0.349635	+	0.0616501i	−0.345708	−	0.938342i	$-0.612361\pi$
$991$	−11.0066	+	1.94076i	−0.349635	+	0.0616501i	−0.00392729	+	0.999992i	$0.501250\pi$
$992$	12.9743	−	19.3703i	0.411933	−	0.615008i
$993$	−2.71302	+	8.28494i	−0.0860951	+	0.262915i
$994$	8.49810	+	8.42804i	0.269543	+	0.267321i
$995$	5.38227	+	9.32237i	0.170630	+	0.295539i
$996$	6.53145	+	15.8917i	0.206957	+	0.503548i
$997$	19.0387	+	15.9753i	0.602961	+	0.505944i	0.892396	−	0.451253i	$-0.149023\pi$
$997$	19.0387	+	15.9753i	0.602961	+	0.505944i	−0.289435	+	0.957198i	$0.593467\pi$
$998$	−19.8629	+	5.41045i	−0.628748	+	0.171265i
$999$	−17.8295	−	24.8997i	−0.564101	−	0.787792i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	684.2.bs.a.23.4	✓	696
4.3	odd	2	inner	684.2.bs.a.23.11	yes	696
9.2	odd	6		684.2.ch.a.479.37	yes	696
19.5	even	9		684.2.ch.a.347.30	yes	696
36.11	even	6		684.2.ch.a.479.30	yes	696
76.43	odd	18		684.2.ch.a.347.37	yes	696
171.119	odd	18	inner	684.2.bs.a.119.11	yes	696
684.119	even	18	inner	684.2.bs.a.119.4	yes	696

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
684.2.bs.a.23.4	✓	696	1.1	even	1	trivial
684.2.bs.a.23.11	yes	696	4.3	odd	2	inner
684.2.bs.a.119.4	yes	696	684.119	even	18	inner
684.2.bs.a.119.11	yes	696	171.119	odd	18	inner
684.2.ch.a.347.30	yes	696	19.5	even	9
684.2.ch.a.347.37	yes	696	76.43	odd	18
684.2.ch.a.479.30	yes	696	36.11	even	6
684.2.ch.a.479.37	yes	696	9.2	odd	6

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 684 = 2^{2} \cdot 3^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	684.bs (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.40831 + 0.129087i) q^{2} +(-0.356216 - 1.69503i) q^{3} +(1.96667 - 0.363589i) q^{4} +(-1.53473 + 0.270614i) q^{5} +(0.720469 + 2.34114i) q^{6} -0.923751i q^{7} +(-2.72275 + 0.765918i) q^{8} +(-2.74622 + 1.20759i) q^{9} +(2.12644 - 0.579223i) q^{10} +(-1.38916 + 2.40610i) q^{11} +(-1.31685 - 3.20404i) q^{12} +(5.07753 + 4.26056i) q^{13} +(0.119244 + 1.30093i) q^{14} +(1.00539 + 2.50501i) q^{15} +(3.73561 - 1.43012i) q^{16} +(-0.788778 + 2.16715i) q^{17} +(3.71164 - 2.05516i) q^{18} +(3.66424 - 2.36079i) q^{19} +(-2.91992 + 1.09022i) q^{20} +(-1.56578 + 0.329055i) q^{21} +(1.64578 - 3.56786i) q^{22} +(8.65925 - 3.15171i) q^{23} +(2.26814 + 4.34230i) q^{24} +(-2.41630 + 0.879461i) q^{25} +(-7.70072 - 5.34474i) q^{26} +(3.02515 + 4.22475i) q^{27} +(-0.335866 - 1.81672i) q^{28} +(3.10017 - 3.69463i) q^{29} +(-1.73927 - 3.39804i) q^{30} +(-3.56920 + 2.06068i) q^{31} +(-5.07628 + 2.49627i) q^{32} +(4.57324 + 1.49757i) q^{33} +(0.831093 - 3.15384i) q^{34} +(0.249980 + 1.41771i) q^{35} +(-4.96185 + 3.37343i) q^{36} -5.89377 q^{37} +(-4.85564 + 3.79773i) q^{38} +(5.41305 - 10.1242i) q^{39} +(3.97142 - 1.91229i) q^{40} +(0.179922 - 0.494332i) q^{41} +(2.16263 - 0.665534i) q^{42} +(2.04848 - 5.62815i) q^{43} +(-1.85720 + 5.23710i) q^{44} +(3.88791 - 2.59649i) q^{45} +(-11.7881 + 5.55638i) q^{46} +(2.45486 + 2.05987i) q^{47} +(-3.75478 - 5.82251i) q^{48} +6.14668 q^{49} +(3.28937 - 1.55047i) q^{50} +(3.95435 + 0.565024i) q^{51} +(11.5349 + 6.53298i) q^{52} +(-3.83515 + 4.57056i) q^{53} +(-4.80570 - 5.55925i) q^{54} +(1.48086 - 4.06864i) q^{55} +(0.707518 + 2.51514i) q^{56} +(-5.30686 - 5.37004i) q^{57} +(-3.88907 + 5.60338i) q^{58} +(2.01639 - 1.69196i) q^{59} +(2.88808 + 4.56098i) q^{60} +(2.41706 - 13.7078i) q^{61} +(4.76054 - 3.36282i) q^{62} +(1.11551 + 2.53682i) q^{63} +(6.82674 - 4.17081i) q^{64} +(-8.94561 - 5.16475i) q^{65} +(-6.63386 - 1.51870i) q^{66} +(14.1422 + 2.49365i) q^{67} +(-0.763316 + 4.54887i) q^{68} +(-8.42679 - 13.5550i) q^{69} +(-0.535057 - 1.96430i) q^{70} +(7.01828 - 5.88904i) q^{71} +(6.55235 - 5.39135i) q^{72} +(1.56692 + 8.88643i) q^{73} +(8.30026 - 0.760810i) q^{74} +(2.35143 + 3.78241i) q^{75} +(6.34801 - 5.97518i) q^{76} +(2.22264 + 1.28324i) q^{77} +(-6.31634 + 14.9568i) q^{78} +(6.78987 + 8.09186i) q^{79} +(-5.34613 + 3.20576i) q^{80} +(6.08345 - 6.63262i) q^{81} +(-0.189574 + 0.719399i) q^{82} -4.95989 q^{83} +(-2.95974 + 1.21645i) q^{84} +(0.624099 - 3.53944i) q^{85} +(-2.15837 + 8.19062i) q^{86} +(-7.36683 - 3.93877i) q^{87} +(1.93947 - 7.61520i) q^{88} +(4.70122 + 0.828952i) q^{89} +(-5.14021 + 4.15855i) q^{90} +(3.93569 - 4.69038i) q^{91} +(15.8840 - 9.34679i) q^{92} +(4.76432 + 5.31584i) q^{93} +(-3.72310 - 2.58404i) q^{94} +(-4.98476 + 4.61477i) q^{95} +(6.03950 + 7.71521i) q^{96} +(0.862927 + 4.89390i) q^{97} +(-8.65644 + 0.793458i) q^{98} +(0.909361 - 8.28522i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 696 q - 9 q^{2} - 3 q^{4} - 18 q^{5} - 6 q^{6} - 18 q^{9} - 12 q^{10} - 3 q^{12} - 6 q^{13} - 9 q^{14} - 3 q^{16} - 12 q^{18} - 18 q^{20} + 24 q^{21} + 9 q^{22} + 45 q^{24} - 6 q^{25} + 72 q^{26} - 18 q^{29}+ \cdots + 45 q^{98}+O(q^{100}) \) 696 * q - 9 * q^2 - 3 * q^4 - 18 * q^5 - 6 * q^6 - 18 * q^9 - 12 * q^10 - 3 * q^12 - 6 * q^13 - 9 * q^14 - 3 * q^16 - 12 * q^18 - 18 * q^20 + 24 * q^21 + 9 * q^22 + 45 * q^24 - 6 * q^25 + 72 * q^26 - 18 * q^29 - 9 * q^32 + 12 * q^33 + 15 * q^34 - 66 * q^36 - 48 * q^37 - 9 * q^38 + 12 * q^40 - 108 * q^41 + 126 * q^42 + 135 * q^44 - 6 * q^45 - 6 * q^46 - 18 * q^48 - 564 * q^49 - 9 * q^50 - 3 * q^52 - 66 * q^54 + 45 * q^56 - 12 * q^57 - 6 * q^58 + 9 * q^60 - 6 * q^61 - 18 * q^62 + 12 * q^64 - 18 * q^65 - 18 * q^66 - 6 * q^69 + 18 * q^70 + 12 * q^72 + 12 * q^73 - 90 * q^74 - 3 * q^76 - 36 * q^77 - 21 * q^78 + 18 * q^81 - 12 * q^82 + 81 * q^84 - 6 * q^85 - 9 * q^86 + 90 * q^88 - 117 * q^90 - 9 * q^92 - 30 * q^93 - 6 * q^94 - 87 * q^96 + 12 * q^97 + 45 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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