LMFDB - Embedded newform 672.2.cj.a.445.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [672,2,Mod(37,672)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(672, base_ring=CyclotomicField(24))

chi = DirichletCharacter(H, H._module([0, 3, 0, 8]))

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

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

chi := DirichletCharacter("672.37");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 672 = 2^{5} \cdot 3 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	672.cj (of order $24$, degree $8$, 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:	$5.36594701583$
Analytic rank:	$0$
Dimension:	$512$
Relative dimension:	$64$ over $\Q(\zeta_{24})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label			445.14
Character	$\chi$	$=$	672.445
Dual form			672.2.cj.a.373.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.15839 + 0.811248i) q^{2} +(0.793353 - 0.608761i) q^{3} +(0.683755 - 1.87949i) q^{4} +(1.39768 - 1.82150i) q^{5} +(-0.425160 + 1.34879i) q^{6} +(-0.400522 + 2.61526i) q^{7} +(0.732673 + 2.73188i) q^{8} +(0.258819 - 0.965926i) q^{9} +O(q^{10})$	\(q+(-1.15839 + 0.811248i) q^{2} +(0.793353 - 0.608761i) q^{3} +(0.683755 - 1.87949i) q^{4} +(1.39768 - 1.82150i) q^{5} +(-0.425160 + 1.34879i) q^{6} +(-0.400522 + 2.61526i) q^{7} +(0.732673 + 2.73188i) q^{8} +(0.258819 - 0.965926i) q^{9} +(-0.141384 + 3.24388i) q^{10} +(-0.797054 + 6.05423i) q^{11} +(-0.601701 - 1.90734i) q^{12} +(-1.33307 + 3.21833i) q^{13} +(-1.65766 - 3.35442i) q^{14} -2.29595i q^{15} +(-3.06496 - 2.57022i) q^{16} +(3.35879 + 1.93920i) q^{17} +(0.483790 + 1.32889i) q^{18} +(-3.51611 + 0.462905i) q^{19} +(-2.46781 - 3.87239i) q^{20} +(1.27431 + 2.31865i) q^{21} +(-3.98817 - 7.65979i) q^{22} +(-1.72969 + 6.45530i) q^{23} +(2.24433 + 1.72133i) q^{24} +(-0.0702349 - 0.262120i) q^{25} +(-1.06663 - 4.80955i) q^{26} +(-0.382683 - 0.923880i) q^{27} +(4.64149 + 2.54097i) q^{28} +(7.24555 + 3.00121i) q^{29} +(1.86258 + 2.65961i) q^{30} +(4.91200 - 8.50784i) q^{31} +(5.63552 + 0.490887i) q^{32} +(3.05323 + 5.28836i) q^{33} +(-5.46397 + 0.478454i) q^{34} +(4.20388 + 4.38485i) q^{35} +(-1.63848 - 1.14690i) q^{36} +(5.52844 - 7.20480i) q^{37} +(3.69751 - 3.38866i) q^{38} +(0.901594 + 3.36480i) q^{39} +(6.00016 + 2.48375i) q^{40} +(-3.53952 - 3.53952i) q^{41} +(-3.35715 - 1.65212i) q^{42} +(1.89431 - 0.784650i) q^{43} +(10.8339 + 5.63766i) q^{44} +(-1.39768 - 1.82150i) q^{45} +(-3.23318 - 8.88100i) q^{46} +(-3.52458 + 2.03492i) q^{47} +(-3.99625 - 0.173263i) q^{48} +(-6.67916 - 2.09494i) q^{49} +(0.294004 + 0.246661i) q^{50} +(3.84522 - 0.506232i) q^{51} +(5.13732 + 4.70605i) q^{52} +(-0.0849524 + 0.645277i) q^{53} +(1.19279 + 0.759766i) q^{54} +(9.91372 + 9.91372i) q^{55} +(-7.43804 + 0.821952i) q^{56} +(-2.50772 + 2.50772i) q^{57} +(-10.8279 + 2.40136i) q^{58} +(6.33231 + 0.833664i) q^{59} +(-4.31521 - 1.56986i) q^{60} +(-1.35646 - 10.3034i) q^{61} +(1.21193 + 13.8403i) q^{62} +(2.42248 + 1.06375i) q^{63} +(-6.92638 + 4.00316i) q^{64} +(3.99895 + 6.92639i) q^{65} +(-7.82701 - 3.64907i) q^{66} +(-2.61525 + 2.00675i) q^{67} +(5.94129 - 4.98687i) q^{68} +(2.55748 + 6.17431i) q^{69} +(-8.42696 - 1.66900i) q^{70} +(-0.268942 + 0.268942i) q^{71} +(2.82843 - 0.000644514i) q^{72} +(-3.16019 + 0.846770i) q^{73} +(-0.559234 + 12.8309i) q^{74} +(-0.215290 - 0.165198i) q^{75} +(-1.53413 + 6.92500i) q^{76} +(-15.5141 - 4.50935i) q^{77} +(-3.77408 - 3.16634i) q^{78} +(-6.14465 + 3.54761i) q^{79} +(-8.96549 + 1.99046i) q^{80} +(-0.866025 - 0.500000i) q^{81} +(6.97158 + 1.22873i) q^{82} +(2.57898 - 6.22622i) q^{83} +(5.22919 - 0.809673i) q^{84} +(8.22677 - 3.40764i) q^{85} +(-1.55782 + 2.44569i) q^{86} +(7.57530 - 2.02980i) q^{87} +(-17.1234 + 2.25831i) q^{88} +(-3.35338 - 0.898534i) q^{89} +(3.09675 + 0.976144i) q^{90} +(-7.88284 - 4.77535i) q^{91} +(10.9500 + 7.66478i) q^{92} +(-1.28229 - 9.73996i) q^{93} +(2.43203 - 5.21655i) q^{94} +(-4.07123 + 7.05158i) q^{95} +(4.76979 - 3.04124i) q^{96} -12.1590 q^{97} +(9.43662 - 2.99169i) q^{98} +(5.64164 + 2.33684i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 512 q+O(q^{10}) $ 512 * q	$ 512 q - 64 q^{14} + 8 q^{16} + 8 q^{18} + 64 q^{20} + 16 q^{22} + 16 q^{23} - 40 q^{28} + 96 q^{31} + 48 q^{35} - 80 q^{38} + 64 q^{40} - 32 q^{43} - 8 q^{44} - 48 q^{50} + 24 q^{52} + 32 q^{53} - 32 q^{58} + 64 q^{59} - 48 q^{60} - 48 q^{64} + 48 q^{66} - 16 q^{67} + 72 q^{70} - 128 q^{71} - 144 q^{74} - 48 q^{78} + 24 q^{80} + 40 q^{82} - 88 q^{88} + 48 q^{91} + 128 q^{92} - 24 q^{94} - 40 q^{96} - 88 q^{98}+O(q^{100}) $ 512 * q - 64 * q^14 + 8 * q^16 + 8 * q^18 + 64 * q^20 + 16 * q^22 + 16 * q^23 - 40 * q^28 + 96 * q^31 + 48 * q^35 - 80 * q^38 + 64 * q^40 - 32 * q^43 - 8 * q^44 - 48 * q^50 + 24 * q^52 + 32 * q^53 - 32 * q^58 + 64 * q^59 - 48 * q^60 - 48 * q^64 + 48 * q^66 - 16 * q^67 + 72 * q^70 - 128 * q^71 - 144 * q^74 - 48 * q^78 + 24 * q^80 + 40 * q^82 - 88 * q^88 + 48 * q^91 + 128 * q^92 - 24 * q^94 - 40 * q^96 - 88 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/672\mathbb{Z}\right)^\times$.

$n$	$127$	$421$	$449$	$577$
$\chi(n)$	$1$	$e\left(\frac{3}{8}\right)$	$1$	$e\left(\frac{2}{3}\right)$

Coefficient data

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

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

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

$2$	−1.15839	+	0.811248i	−0.819108	+	0.573639i
$2$	−1.15839	+	0.811248i	−0.819108	+	0.573639i
$3$	0.793353	−	0.608761i	0.458043	−	0.351469i
$3$	0.793353	−	0.608761i	0.458043	−	0.351469i
$4$	0.683755	−	1.87949i	0.341877	−	0.939745i
$5$	1.39768	−	1.82150i	0.625063	−	0.814598i	−0.368289	−	0.929711i	$-0.620056\pi$
$5$	1.39768	−	1.82150i	0.625063	−	0.814598i	0.993352	+	0.115113i	$0.0367231\pi$
$6$	−0.425160	+	1.34879i	−0.173571	+	0.550642i
$7$	−0.400522	+	2.61526i	−0.151383	+	0.988475i
$7$	−0.400522	+	2.61526i	−0.151383	+	0.988475i
$8$	0.732673	+	2.73188i	0.259039	+	0.965867i
$9$	0.258819	−	0.965926i	0.0862730	−	0.321975i
$10$	−0.141384	+	3.24388i	−0.0447095	+	1.02580i
$11$	−0.797054	+	6.05423i	−0.240321	+	1.82542i	0.267042	+	0.963685i	$0.413954\pi$
$11$	−0.797054	+	6.05423i	−0.240321	+	1.82542i	−0.507363	+	0.861733i	$0.669380\pi$
$12$	−0.601701	−	1.90734i	−0.173696	−	0.550602i
$13$	−1.33307	+	3.21833i	−0.369728	+	0.892603i	0.624066	+	0.781372i	$0.285480\pi$
$13$	−1.33307	+	3.21833i	−0.369728	+	0.892603i	−0.993794	+	0.111232i	$0.964520\pi$
$14$	−1.65766	−	3.35442i	−0.443028	−	0.896508i
$15$		−	2.29595i		−	0.592811i
$16$	−3.06496	−	2.57022i	−0.766240	−	0.642555i
$17$	3.35879	+	1.93920i	0.814626	+	0.470325i	0.848560	−	0.529099i	$-0.177470\pi$
$17$	3.35879	+	1.93920i	0.814626	+	0.470325i	−0.0339335	+	0.999424i	$0.510803\pi$
$18$	0.483790	+	1.32889i	0.114031	+	0.313222i
$19$	−3.51611	+	0.462905i	−0.806651	+	0.106198i	−0.522563	−	0.852601i	$-0.675024\pi$
$19$	−3.51611	+	0.462905i	−0.806651	+	0.106198i	−0.284088	+	0.958798i	$0.591691\pi$
$20$	−2.46781	−	3.87239i	−0.551819	−	0.865892i
$21$	1.27431	+	2.31865i	0.278078	+	0.505970i
$22$	−3.98817	−	7.65979i	−0.850281	−	1.63307i
$23$	−1.72969	+	6.45530i	−0.360666	+	1.34602i	0.512536	+	0.858666i	$0.328706\pi$
$23$	−1.72969	+	6.45530i	−0.360666	+	1.34602i	−0.873202	+	0.487358i	$0.837961\pi$
$24$	2.24433	+	1.72133i	0.458123	+	0.351364i
$25$	−0.0702349	−	0.262120i	−0.0140470	−	0.0524240i
$26$	−1.06663	−	4.80955i	−0.209184	−	0.943230i
$27$	−0.382683	−	0.923880i	−0.0736475	−	0.177801i
$28$	4.64149	+	2.54097i	0.877160	+	0.480199i
$29$	7.24555	+	3.00121i	1.34547	+	0.557310i	0.935026	−	0.354578i	$-0.115375\pi$
$29$	7.24555	+	3.00121i	1.34547	+	0.557310i	0.410439	+	0.911888i	$0.365375\pi$
$30$	1.86258	+	2.65961i	0.340059	+	0.485576i
$31$	4.91200	−	8.50784i	0.882222	−	1.52805i	0.0333567	−	0.999444i	$-0.489380\pi$
$31$	4.91200	−	8.50784i	0.882222	−	1.52805i	0.848865	−	0.528610i	$-0.177286\pi$
$32$	5.63552	+	0.490887i	0.996228	+	0.0867774i
$33$	3.05323	+	5.28836i	0.531500	+	0.920585i
$34$	−5.46397	+	0.478454i	−0.937064	+	0.0820542i
$35$	4.20388	+	4.38485i	0.710586	+	0.741175i
$36$	−1.63848	−	1.14690i	−0.273080	−	0.191151i
$37$	5.52844	−	7.20480i	0.908869	−	1.18446i	−0.0734593	−	0.997298i	$-0.523404\pi$
$37$	5.52844	−	7.20480i	0.908869	−	1.18446i	0.982329	−	0.187164i	$-0.0599294\pi$
$38$	3.69751	−	3.38866i	0.599816	−	0.549714i
$39$	0.901594	+	3.36480i	0.144371	+	0.538798i
$40$	6.00016	+	2.48375i	0.948709	+	0.392715i
$41$	−3.53952	−	3.53952i	−0.552779	−	0.552779i	0.374463	−	0.927242i	$-0.377827\pi$
$41$	−3.53952	−	3.53952i	−0.552779	−	0.552779i	−0.927242	+	0.374463i	$0.877827\pi$
$42$	−3.35715	−	1.65212i	−0.518020	−	0.254928i
$43$	1.89431	−	0.784650i	0.288880	−	0.119658i	−0.233538	−	0.972348i	$-0.575030\pi$
$43$	1.89431	−	0.784650i	0.288880	−	0.119658i	0.522418	+	0.852690i	$0.325030\pi$
$44$	10.8339	+	5.63766i	1.63327	+	0.849909i
$45$	−1.39768	−	1.82150i	−0.208354	−	0.271533i
$46$	−3.23318	−	8.88100i	−0.476707	−	1.30943i
$47$	−3.52458	+	2.03492i	−0.514113	+	0.296823i	−0.734523	−	0.678584i	$-0.762594\pi$
$47$	−3.52458	+	2.03492i	−0.514113	+	0.296823i	0.220409	+	0.975407i	$0.429261\pi$
$48$	−3.99625	−	0.173263i	−0.576808	−	0.0250084i
$49$	−6.67916	−	2.09494i	−0.954166	−	0.299277i
$50$	0.294004	+	0.246661i	0.0415785	+	0.0348831i
$51$	3.84522	−	0.506232i	0.538438	−	0.0708867i
$52$	5.13732	+	4.70605i	0.712417	+	0.652611i
$53$	−0.0849524	+	0.645277i	−0.0116691	+	0.0886357i	−0.996288	−	0.0860779i	$-0.972567\pi$
$53$	−0.0849524	+	0.645277i	−0.0116691	+	0.0886357i	0.984619	+	0.174714i	$0.0558999\pi$
$54$	1.19279	+	0.759766i	0.162319	+	0.103391i
$55$	9.91372	+	9.91372i	1.33677	+	1.33677i
$56$	−7.43804	+	0.821952i	−0.993950	+	0.109838i
$57$	−2.50772	+	2.50772i	−0.332156	+	0.332156i
$58$	−10.8279	+	2.40136i	−1.42178	+	0.315314i
$59$	6.33231	+	0.833664i	0.824397	+	0.108534i	0.530909	−	0.847429i	$-0.321851\pi$
$59$	6.33231	+	0.833664i	0.824397	+	0.108534i	0.293488	+	0.955963i	$0.405184\pi$
$60$	−4.31521	−	1.56986i	−0.557091	−	0.202669i
$61$	−1.35646	−	10.3034i	−0.173677	−	1.31921i	−0.827031	−	0.562156i	$-0.809972\pi$
$61$	−1.35646	−	10.3034i	−0.173677	−	1.31921i	0.653354	−	0.757053i	$-0.273361\pi$
$62$	1.21193	+	13.8403i	0.153915	+	1.75772i
$63$	2.42248	+	1.06375i	0.305204	+	0.134020i
$64$	−6.92638	+	4.00316i	−0.865797	+	0.500395i
$65$	3.99895	+	6.92639i	0.496009	+	0.859113i
$66$	−7.82701	−	3.64907i	−0.963439	−	0.449170i
$67$	−2.61525	+	2.00675i	−0.319504	+	0.245164i	−0.756044	−	0.654521i	$-0.772870\pi$
$67$	−2.61525	+	2.00675i	−0.319504	+	0.245164i	0.436540	+	0.899685i	$0.356204\pi$
$68$	5.94129	−	4.98687i	0.720488	−	0.604747i
$69$	2.55748	+	6.17431i	0.307885	+	0.743299i
$70$	−8.42696	−	1.66900i	−1.00721	−	0.199484i
$71$	−0.268942	+	0.268942i	−0.0319176	+	0.0319176i	−0.722885	−	0.690968i	$-0.757185\pi$
$71$	−0.268942	+	0.268942i	−0.0319176	+	0.0319176i	0.690968	+	0.722885i	$0.257185\pi$
$72$	2.82843		0.000644514i	0.333333		7.59567e-5i
$73$	−3.16019	+	0.846770i	−0.369872	+	0.0991069i	−0.438967	−	0.898503i	$-0.644656\pi$
$73$	−3.16019	+	0.846770i	−0.369872	+	0.0991069i	0.0690950	+	0.997610i	$0.477989\pi$
$74$	−0.559234	+	12.8309i	−0.0650096	+	1.49157i
$75$	−0.215290	−	0.165198i	−0.0248595	−	0.0190754i
$76$	−1.53413	+	6.92500i	−0.175977	+	0.794353i
$77$	−15.5141	−	4.50935i	−1.76800	−	0.513888i
$78$	−3.77408	−	3.16634i	−0.427331	−	0.358518i
$79$	−6.14465	+	3.54761i	−0.691327	+	0.399138i	−0.804109	−	0.594482i	$-0.797357\pi$
$79$	−6.14465	+	3.54761i	−0.691327	+	0.399138i	0.112782	+	0.993620i	$0.464024\pi$
$80$	−8.96549	+	1.99046i	−1.00237	+	0.222540i
$81$	−0.866025	−	0.500000i	−0.0962250	−	0.0555556i
$82$	6.97158	+	1.22873i	0.769882	+	0.135691i
$83$	2.57898	−	6.22622i	0.283080	−	0.683416i	−0.716824	−	0.697254i	$-0.754405\pi$
$83$	2.57898	−	6.22622i	0.283080	−	0.683416i	0.999904	+	0.0138379i	$0.00440489\pi$
$84$	5.22919	−	0.809673i	0.570551	−	0.0883426i
$85$	8.22677	−	3.40764i	0.892318	−	0.369610i
$86$	−1.55782	+	2.44569i	−0.167984	+	0.263726i
$87$	7.57530	−	2.02980i	0.812158	−	0.217617i
$88$	−17.1234	+	2.25831i	−1.82536	+	0.240737i
$89$	−3.35338	−	0.898534i	−0.355457	−	0.0952444i	0.0766716	−	0.997056i	$-0.475571\pi$
$89$	−3.35338	−	0.898534i	−0.355457	−	0.0952444i	−0.432129	+	0.901812i	$0.642237\pi$
$90$	3.09675	+	0.976144i	0.326426	+	0.102895i
$91$	−7.88284	−	4.77535i	−0.826346	−	0.500592i
$92$	10.9500	+	7.66478i	1.14162	+	0.799109i
$93$	−1.28229	−	9.73996i	−0.132967	−	1.00999i
$94$	2.43203	−	5.21655i	0.250845	−	0.538046i
$95$	−4.07123	+	7.05158i	−0.417699	+	0.723476i
$96$	4.76979	−	3.04124i	0.486814	−	0.310395i
$97$	−12.1590			−1.23456			−0.617281	−	0.786743i	$-0.711766\pi$
$97$	−12.1590			−1.23456			−0.617281	+	0.786743i	$0.711766\pi$
$98$	9.43662	−	2.99169i	0.953242	−	0.302207i
$99$	5.64164	+	2.33684i	0.567006	+	0.234862i
$100$	−0.540676	−	0.0472202i	−0.0540676	−	0.00472202i
$101$	2.24451	+	0.295496i	0.223337	+	0.0294029i	0.241364	−	0.970435i	$-0.422405\pi$
$101$	2.24451	+	0.295496i	0.223337	+	0.0294029i	−0.0180270	+	0.999838i	$0.505738\pi$
$102$	−4.04360	+	3.70584i	−0.400376	+	0.366933i
$103$	−2.83940	−	0.760816i	−0.279775	−	0.0749654i	0.116203	−	0.993225i	$-0.462928\pi$
$103$	−2.83940	−	0.760816i	−0.279775	−	0.0749654i	−0.395978	+	0.918260i	$0.629594\pi$
$104$	−9.76881	−	1.28382i	−0.957910	−	0.125889i
$105$	6.00449	+	0.919576i	0.585979	+	0.0897415i
$106$	−0.425071	−	0.816403i	−0.0412866	−	0.0792961i
$107$	8.22100	+	6.30819i	0.794754	+	0.609836i	0.924269	−	0.381742i	$-0.124676\pi$
$107$	8.22100	+	6.30819i	0.794754	+	0.609836i	−0.129516	+	0.991577i	$0.541342\pi$
$108$	−1.99808	+	0.0875423i	−0.192266	+	0.00842376i
$109$	9.10565	+	11.8667i	0.872164	+	1.13663i	0.989643	+	0.143550i	$0.0458519\pi$
$109$	9.10565	+	11.8667i	0.872164	+	1.13663i	−0.117479	+	0.993075i	$0.537481\pi$
$110$	−19.5265	−	3.44152i	−1.86178	−	0.328136i
$111$		−	9.08145i		−	0.861973i
$112$	7.94937	−	6.98623i	0.751145	−	0.660137i
$113$			1.07688i			0.101305i	0.998716	+	0.0506524i	$0.0161300\pi$
$113$			1.07688i			0.101305i	−0.998716	+	0.0506524i	$0.983870\pi$
$114$	0.870547	−	4.93931i	0.0815342	−	0.462609i
$115$	9.34075	+	12.1731i	0.871029	+	1.13515i
$116$	10.5949	−	11.5658i	0.983713	−	1.07386i
$117$	2.76364	+	2.12062i	0.255499	+	0.196051i
$118$	−8.01162	+	4.17136i	−0.737529	+	0.384005i
$119$	−6.41678	+	8.00742i	−0.588225	+	0.734039i
$120$	6.27226	−	1.68218i	0.572576	−	0.153561i
$121$	−25.3932	−	6.80408i	−2.30847	−	0.618553i
$122$	9.92989	+	10.8349i	0.899010	+	0.980947i
$123$	−4.96281	−	0.653366i	−0.447481	−	0.0589120i
$124$	−12.6318	−	15.0493i	−1.13437	−	1.35147i
$125$	10.0303	+	4.15467i	0.897135	+	0.371605i
$126$	−3.66916	+	0.732988i	−0.326875	+	0.0652998i
$127$	22.2821			1.97722			0.988608	−	0.150512i	$-0.0480922\pi$
$127$	22.2821			1.97722			0.988608	+	0.150512i	$0.0480922\pi$
$128$	4.77593	−	10.2562i	0.422136	−	0.906532i
$129$	1.02519	−	1.77569i	0.0902633	−	0.156341i
$130$	−10.2514	−	4.77935i	−0.899106	−	0.419177i
$131$	−0.338225	−	2.56908i	−0.0295509	−	0.224461i	0.970297	−	0.241918i	$-0.0777764\pi$
$131$	−0.338225	−	2.56908i	−0.0295509	−	0.224461i	−0.999848	+	0.0174566i	$0.994443\pi$
$132$	12.0271	−	2.12258i	1.04682	−	0.184747i
$133$	0.197663	−	9.38094i	0.0171395	−	0.813431i
$134$	1.40152	−	4.44623i	0.121073	−	0.384095i
$135$	−2.21771	−	0.594234i	−0.190870	−	0.0511436i
$136$	−2.83677	+	10.5966i	−0.243251	+	0.908653i
$137$	1.64763	−	0.441480i	0.140766	−	0.0377182i	−0.187748	−	0.982217i	$-0.560119\pi$
$137$	1.64763	−	0.441480i	0.140766	−	0.0377182i	0.328514	+	0.944499i	$0.393452\pi$
$138$	−7.97146	−	5.07753i	−0.678576	−	0.432228i
$139$	−10.5855	+	4.38465i	−0.897848	+	0.371901i	−0.783392	−	0.621527i	$-0.786512\pi$
$139$	−10.5855	+	4.38465i	−0.897848	+	0.371901i	−0.114456	+	0.993428i	$0.536512\pi$
$140$	11.1157	−	4.90299i	0.939449	−	0.414378i
$141$	−1.55746	+	3.76004i	−0.131162	+	0.316653i
$142$	0.0933625	−	0.529720i	0.00783481	−	0.0444531i
$143$	−18.4219	−	10.6359i	−1.54052	−	0.889420i
$144$	−3.27591	+	2.29530i	−0.272993	+	0.191275i
$145$	15.5937	−	9.00301i	1.29498	−	0.747659i
$146$	2.97380	−	3.54459i	0.246114	−	0.293352i
$147$	−6.57425	+	2.40399i	−0.542235	+	0.198278i
$148$	−9.76125	−	15.3170i	−0.802370	−	1.25905i
$149$	−9.36520	−	7.18617i	−0.767227	−	0.588714i	0.149251	−	0.988799i	$-0.452314\pi$
$149$	−9.36520	−	7.18617i	−0.767227	−	0.588714i	−0.916478	+	0.400085i	$0.868980\pi$
$150$	0.383407	+	0.0167107i	0.0313050	+	0.00136442i
$151$	5.31741	−	1.42480i	0.432725	−	0.115948i	−0.0358802	−	0.999356i	$-0.511423\pi$
$151$	5.31741	−	1.42480i	0.432725	−	0.115948i	0.468605	+	0.883408i	$0.344757\pi$
$152$	−3.84076	−	9.26645i	−0.311527	−	0.751608i
$153$	2.74244	−	2.74244i	0.221713	−	0.221713i
$154$	21.6297	−	7.36220i	1.74297	−	0.593263i
$155$	−8.63157	−	20.8385i	−0.693305	−	1.67379i
$156$	6.94057	+	0.606158i	0.555690	+	0.0485315i
$157$	5.92711	−	4.54804i	0.473035	−	0.362973i	−0.344562	−	0.938764i	$-0.611972\pi$
$157$	5.92711	−	4.54804i	0.473035	−	0.362973i	0.817597	+	0.575791i	$0.195306\pi$
$158$	4.23993	−	9.09436i	0.337311	−	0.723509i
$159$	0.325423	+	0.563649i	0.0258077	+	0.0447002i
$160$	8.77081	−	9.57896i	0.693394	−	0.757284i
$161$	−16.1895	−	7.10909i	−1.27591	−	0.560275i
$162$	1.40882	−	0.123364i	0.110688	−	0.00969238i
$163$	1.28245	+	9.74116i	0.100449	+	0.762987i	0.965334	+	0.261017i	$0.0840578\pi$
$163$	1.28245	+	9.74116i	0.100449	+	0.762987i	−0.864885	+	0.501970i	$0.832609\pi$
$164$	−9.07264	+	4.23232i	−0.708454	+	0.330489i
$165$	13.9002	+	1.82999i	1.08213	+	0.142465i
$166$	2.06352	+	9.30461i	0.160161	+	0.722178i
$167$	7.19775	−	7.19775i	0.556978	−	0.556978i	−0.371468	−	0.928446i	$-0.621145\pi$
$167$	7.19775	−	7.19775i	0.556978	−	0.556978i	0.928446	+	0.371468i	$0.121145\pi$
$168$	−5.40062	+	5.18009i	−0.416667	+	0.399652i
$169$	0.611845	+	0.611845i	0.0470650	+	0.0470650i
$170$	−6.76540	+	10.6213i	−0.518883	+	0.814619i
$171$	−0.462905	+	3.51611i	−0.0353992	+	0.268884i
$172$	−0.179496	−	4.09685i	−0.0136864	−	0.312382i
$173$	18.5540	−	2.44268i	1.41063	−	0.185714i	0.613586	−	0.789628i	$-0.289726\pi$
$173$	18.5540	−	2.44268i	1.41063	−	0.185714i	0.797049	+	0.603914i	$0.206393\pi$
$174$	−7.12852	+	8.49675i	−0.540412	+	0.644137i
$175$	0.713643	−	0.0786976i	0.0539463	−	0.00594898i
$176$	18.0036	−	16.5073i	1.35707	−	1.24429i
$177$	5.53126	−	3.19348i	0.415755	−	0.240036i
$178$	4.61347	−	1.67956i	0.345794	−	0.125888i
$179$	0.978784	+	1.27558i	0.0731578	+	0.0953411i	0.828499	−	0.559991i	$-0.189195\pi$
$179$	0.978784	+	1.27558i	0.0731578	+	0.0953411i	−0.755341	+	0.655332i	$0.772529\pi$
$180$	−4.37915	+	1.38147i	−0.326403	+	0.102969i
$181$	11.3504	−	4.70148i	0.843666	−	0.349458i	0.0813681	−	0.996684i	$-0.474071\pi$
$181$	11.3504	−	4.70148i	0.843666	−	0.349458i	0.762298	+	0.647226i	$0.224071\pi$
$182$	13.0054	−	0.863197i	0.964026	−	0.0639844i
$183$	−7.34844	−	7.34844i	−0.543212	−	0.543212i
$184$	−18.9024	+	0.00430730i	−1.39351	+	0.000317538i
$185$	−5.39651	−	20.1401i	−0.396759	−	1.48073i
$186$	9.38692	+	10.2425i	0.688282	+	0.751014i
$187$	−14.4175	+	18.7892i	−1.05431	+	1.37400i
$188$	1.41466	+	8.01580i	0.103175	+	0.584612i
$189$	2.56946	−	0.630783i	0.186901	−	0.0458827i
$190$	−1.00448	−	11.4713i	−0.0728730	−	0.832214i
$191$	−8.34912	−	14.4611i	−0.604121	−	1.04637i	−0.992190	−	0.124738i	$-0.960191\pi$
$191$	−8.34912	−	14.4611i	−0.604121	−	1.04637i	0.388069	−	0.921631i	$-0.373142\pi$
$192$	−3.05810	+	7.39243i	−0.220699	+	0.533503i
$193$	5.76032	−	9.97716i	0.414637	−	0.718172i	−0.580753	−	0.814080i	$-0.697242\pi$
$193$	5.76032	−	9.97716i	0.414637	−	0.718172i	0.995390	+	0.0959075i	$0.0305753\pi$
$194$	14.0849	−	9.86397i	1.01124	−	0.708192i
$195$	7.38911	+	3.06067i	0.529145	+	0.219179i
$196$	−8.50432	+	11.1210i	−0.607452	+	0.794357i
$197$	−6.34690	−	15.3228i	−0.452198	−	1.09170i	−0.971485	−	0.237103i	$-0.923802\pi$
$197$	−6.34690	−	15.3228i	−0.452198	−	1.09170i	0.519287	−	0.854600i	$-0.326198\pi$
$198$	−8.43100	+	1.86978i	−0.599165	+	0.132879i
$199$	−2.47130	−	9.22302i	−0.175186	−	0.653803i	−0.996520	−	0.0833551i	$-0.973436\pi$
$199$	−2.47130	−	9.22302i	−0.175186	−	0.653803i	0.821334	−	0.570448i	$-0.193230\pi$
$200$	0.664623	−	0.383922i	0.0469959	−	0.0271474i
$201$	−0.853184	+	3.18413i	−0.0601790	+	0.224591i
$202$	−2.83975	+	1.47855i	−0.199804	+	0.104031i
$203$	−10.7509	+	17.7470i	−0.754568	+	1.24559i
$204$	1.67773	−	7.57318i	0.117464	−	0.530229i
$205$	−11.3943	+	1.50009i	−0.795815	+	0.104771i
$206$	3.90636	−	1.42213i	0.272169	−	0.0990848i
$207$	5.78767	+	3.34151i	0.402271	+	0.232251i
$208$	12.3576	−	6.43775i	0.856847	−	0.446377i
$209$		−	21.6563i		−	1.49800i
$210$	−7.70158	+	3.80590i	−0.531459	+	0.262632i
$211$	−7.72902	+	18.6595i	−0.532087	+	1.28457i	0.398051	+	0.917363i	$0.369687\pi$
$211$	−7.72902	+	18.6595i	−0.532087	+	1.28457i	−0.930138	+	0.367209i	$0.880313\pi$
$212$	1.15471	+	0.600878i	0.0793055	+	0.0412685i
$213$	−0.0496446	+	0.377088i	−0.00340159	+	0.0258377i
$214$	−14.6407	−	0.638111i	−1.00081	−	0.0436204i
$215$	1.21841	−	4.54718i	0.0830950	−	0.310115i
$216$	2.24355	−	1.72235i	0.152654	−	0.117191i
$217$	20.2828	+	16.2537i	1.37689	+	1.10338i
$218$	−20.1748	−	6.35940i	−1.36641	−	0.430713i
$219$	−1.99167	+	2.59559i	−0.134584	+	0.175394i
$220$	25.4113	−	11.8542i	1.71323	−	0.799208i
$221$	−10.7185	+	8.22459i	−0.721004	+	0.553246i
$222$	7.36730	+	10.5199i	0.494461	+	0.706050i
$223$	8.65762			0.579757			0.289879	−	0.957063i	$-0.406385\pi$
$223$	8.65762			0.579757			0.289879	+	0.957063i	$0.406385\pi$
$224$	−3.54094	+	14.5417i	−0.236589	+	0.971610i
$225$	−0.271367			−0.0180911
$226$	−0.873619	−	1.24746i	−0.0581123	−	0.0829795i
$227$	−15.6860	+	12.0363i	−1.04112	+	0.798878i	−0.979949	−	0.199249i	$-0.936150\pi$
$227$	−15.6860	+	12.0363i	−1.04112	+	0.798878i	−0.0611697	+	0.998127i	$0.519483\pi$
$228$	2.99857	+	6.42790i	0.198585	+	0.425698i
$229$	−2.65267	+	3.45703i	−0.175294	+	0.228447i	−0.872734	−	0.488195i	$-0.837655\pi$
$229$	−2.65267	+	3.45703i	−0.175294	+	0.228447i	0.697441	+	0.716642i	$0.254322\pi$
$230$	−20.6957	−	6.52359i	−1.36463	−	0.430153i
$231$	−15.0533	+	5.86690i	−0.990435	+	0.386013i
$232$	−2.89032	+	21.9929i	−0.189759	+	1.44391i
$233$	−7.16249	+	26.7308i	−0.469230	+	1.75119i	0.173240	+	0.984880i	$0.444576\pi$
$233$	−7.16249	+	26.7308i	−0.469230	+	1.75119i	−0.642470	+	0.766311i	$0.722090\pi$
$234$	−4.92173	−	0.214513i	−0.321744	−	0.0140231i
$235$	−1.21965	+	9.26419i	−0.0795614	+	0.604329i
$236$	5.89661	−	11.3315i	0.383837	−	0.737617i
$237$	−2.71523	+	6.55513i	−0.176373	+	0.425802i
$238$	0.937159	−	14.4813i	0.0607470	−	0.938686i
$239$		−	16.4436i		−	1.06365i	−0.846855	−	0.531823i	$-0.821507\pi$
$239$		−	16.4436i		−	1.06365i	0.846855	−	0.531823i	$-0.178493\pi$
$240$	−5.90108	+	7.03698i	−0.380913	+	0.454235i
$241$	−11.9661	−	6.90866i	−0.770807	−	0.445026i	0.0623554	−	0.998054i	$-0.480139\pi$
$241$	−11.9661	−	6.90866i	−0.770807	−	0.445026i	−0.833162	+	0.553028i	$0.813472\pi$
$242$	34.9351	−	12.7183i	2.24571	−	0.817566i
$243$	−0.991445	+	0.130526i	−0.0636012	+	0.00837326i
$244$	−20.2925	−	4.49551i	−1.29910	−	0.287796i
$245$	−13.1513	+	9.23801i	−0.840204	+	0.590195i
$246$	6.27893	−	3.26921i	0.400330	−	0.208437i
$247$	3.19746	−	11.9331i	0.203449	−	0.759284i
$248$	26.8413	+	7.18556i	1.70443	+	0.456283i
$249$	−1.74424	−	6.50958i	−0.110536	−	0.412528i
$250$	−14.9895	+	3.32428i	−0.948018	+	0.210246i
$251$	2.45895	+	5.93644i	0.155208	+	0.374705i	0.982288	−	0.187380i	$-0.0599995\pi$
$251$	2.45895	+	5.93644i	0.155208	+	0.374705i	−0.827080	+	0.562085i	$0.810000\pi$
$252$	3.65570	−	3.82569i	0.230287	−	0.240996i
$253$	−37.7032	−	15.6172i	−2.37038	−	0.981844i
$254$	−25.8115	+	18.0763i	−1.61955	+	1.13421i
$255$	4.45230	−	7.71160i	0.278814	−	0.482919i
$256$	2.78795	+	15.7552i	0.174247	+	0.984702i
$257$	−8.62000	−	14.9303i	−0.537701	−	0.931326i	−0.999027	−	0.0440950i	$-0.985960\pi$
$257$	−8.62000	−	14.9303i	−0.537701	−	0.931326i	0.461326	−	0.887231i	$-0.347374\pi$
$258$	0.252944	+	2.88863i	0.0157476	+	0.179839i
$259$	16.6282	+	17.3440i	1.03322	+	1.07770i
$260$	15.7524	−	2.78004i	0.976921	−	0.172411i
$261$	4.77423	−	6.22190i	0.295517	−	0.385126i
$262$	2.47596	+	2.70162i	0.152965	+	0.166907i
$263$	3.61444	+	13.4893i	0.222876	+	0.831784i	0.983244	+	0.182292i	$0.0583517\pi$
$263$	3.61444	+	13.4893i	0.222876	+	0.831784i	−0.760368	+	0.649492i	$0.774982\pi$
$264$	−12.2102	+	12.2157i	−0.751483	+	0.751825i
$265$	1.05663	+	1.05663i	0.0649085	+	0.0649085i
$266$	7.38130	+	11.0272i	0.452576	+	0.676120i
$267$	−3.20740	+	1.32855i	−0.196290	+	0.0813060i
$268$	1.98348	+	6.28746i	0.121160	+	0.384068i
$269$	15.8769	+	20.6911i	0.968029	+	1.26156i	0.965186	+	0.261564i	$0.0842383\pi$
$269$	15.8769	+	20.6911i	0.968029	+	1.26156i	0.00284303	+	0.999996i	$0.499095\pi$
$270$	3.05106	−	1.11076i	0.185681	−	0.0675985i
$271$	13.4073	−	7.74072i	0.814437	−	0.470215i	−0.0340576	−	0.999420i	$-0.510843\pi$
$271$	13.4073	−	7.74072i	0.814437	−	0.470215i	0.848494	+	0.529205i	$0.177510\pi$
$272$	−5.31039	−	14.5764i	−0.321990	−	0.883824i
$273$	−9.16092	+	1.01023i	−0.554444	+	0.0611418i
$274$	−1.55045	+	1.84804i	−0.0936663	+	0.111644i
$275$	1.64292	−	0.216294i	0.0990716	−	0.0130430i
$276$	13.3532	−	0.585047i	0.803770	−	0.0352157i
$277$	3.54707	−	26.9427i	0.213123	−	1.61883i	−0.465986	−	0.884792i	$-0.654300\pi$
$277$	3.54707	−	26.9427i	0.213123	−	1.61883i	0.679109	−	0.734037i	$-0.262366\pi$
$278$	8.70512	−	13.6666i	0.522098	−	0.819668i
$279$	−6.94662	−	6.94662i	−0.415883	−	0.415883i
$280$	−8.89884	+	14.6972i	−0.531807	+	0.878325i
$281$	3.68112	−	3.68112i	0.219597	−	0.219597i	−0.588731	−	0.808329i	$-0.700372\pi$
$281$	3.68112	−	3.68112i	0.219597	−	0.219597i	0.808329	+	0.588731i	$0.200372\pi$
$282$	−1.24617	−	5.61910i	−0.0742084	−	0.334612i
$283$	28.0455	+	3.69226i	1.66713	+	0.219482i	0.904235	−	0.427035i	$-0.140442\pi$
$283$	28.0455	+	3.69226i	1.66713	+	0.219482i	0.762899	+	0.646518i	$0.223775\pi$
$284$	0.321584	+	0.689365i	0.0190825	+	0.0409063i
$285$	1.06280	+	8.07280i	0.0629551	+	0.478191i
$286$	29.9682	−	2.62417i	1.77206	−	0.155171i
$287$	10.6744	−	7.83910i	0.630090	−	0.462727i
$288$	1.93274	−	5.31644i	0.113888	−	0.313274i
$289$	−0.979015	−	1.69570i	−0.0575891	−	0.0997473i
$290$	−10.7600	+	23.0794i	−0.631846	+	1.35527i
$291$	−9.64640	+	7.40194i	−0.565482	+	0.433909i
$292$	−0.569299	+	6.51852i	−0.0333157	+	0.381468i
$293$	10.7305	+	25.9056i	0.626880	+	1.51342i	0.843479	+	0.537162i	$0.180504\pi$
$293$	10.7305	+	25.9056i	0.626880	+	1.51342i	−0.216599	+	0.976261i	$0.569496\pi$
$294$	5.66535	−	8.11812i	0.330410	−	0.473458i
$295$	10.3691	−	10.3691i	0.603711	−	0.603711i
$296$	23.7332	+	9.82428i	1.37947	+	0.571025i
$297$	5.89839	−	1.58047i	0.342260	−	0.0917082i
$298$	16.6784	+	0.726924i	0.966151	+	0.0421096i
$299$	−18.4695	−	14.1721i	−1.06812	−	0.819595i
$300$	−0.457693	+	0.291680i	−0.0264249	+	0.0168402i
$301$	1.29335	+	5.26839i	0.0745474	+	0.303665i
$302$	−5.00380	+	5.96421i	−0.287936	+	0.343202i
$303$	1.96058	−	1.13194i	0.112632	−	0.0650282i
$304$	11.9665	+	7.61839i	0.686326	+	0.436945i
$305$	−20.6634	−	11.9300i	−1.18318	−	0.683112i
$306$	−0.952030	+	5.40163i	−0.0544239	+	0.308790i
$307$	11.2360	−	27.1261i	0.641273	−	1.54817i	−0.183692	−	0.982984i	$-0.558805\pi$
$307$	11.2360	−	27.1261i	0.641273	−	1.54817i	0.824964	−	0.565185i	$-0.191195\pi$
$308$	−19.0831	+	26.0754i	−1.08736	+	1.48578i
$309$	−2.71581	+	1.12492i	−0.154497	+	0.0639947i
$310$	26.9039	+	17.1368i	1.52804	+	0.973305i
$311$	−20.0451	+	5.37106i	−1.13665	+	0.304565i	−0.777604	−	0.628754i	$-0.783565\pi$
$311$	−20.0451	+	5.37106i	−1.13665	+	0.304565i	−0.359047	+	0.933319i	$0.616898\pi$
$312$	−8.53166	+	4.92835i	−0.483010	+	0.279013i
$313$	5.49559	+	1.47254i	0.310629	+	0.0832329i	0.410766	−	0.911741i	$-0.365261\pi$
$313$	5.49559	+	1.47254i	0.310629	+	0.0832329i	−0.100137	+	0.994974i	$0.531928\pi$
$314$	−3.17635	+	10.0768i	−0.179252	+	0.568665i
$315$	5.32349	−	2.92576i	0.299945	−	0.164848i
$316$	2.46627	+	13.9745i	0.138738	+	0.786127i
$317$	−1.52814	−	11.6074i	−0.0858288	−	0.651934i	−0.979241	−	0.202697i	$-0.935029\pi$
$317$	−1.52814	−	11.6074i	−0.0858288	−	0.651934i	0.893413	−	0.449237i	$-0.148304\pi$
$318$	−0.834226	−	0.388929i	−0.0467811	−	0.0218101i
$319$	−23.9451	+	41.4741i	−1.34067	+	2.32210i
$320$	−2.38915	+	18.2115i	−0.133557	+	1.01805i
$321$	10.3623			0.578369
$322$	24.5211	−	4.89858i	1.36651	−	0.272987i
$323$	−12.7075	−	5.26364i	−0.707067	−	0.292877i
$324$	−1.53189	+	1.28581i	−0.0851052	+	0.0714338i
$325$	0.937217	+	0.123387i	0.0519875	+	0.00684428i
$326$	−9.38807	−	10.2437i	−0.519957	−	0.567347i
$327$	14.4480	+	3.87133i	0.798976	+	0.214085i
$328$	7.07624	−	12.2629i	0.390720	−	0.677103i
$329$	−3.91017	−	10.0327i	−0.215575	−	0.553122i
$330$	−17.5865	+	9.15663i	−0.968103	+	0.504056i
$331$	−22.7230	−	17.4360i	−1.24897	−	0.958368i	−0.249020	−	0.968498i	$-0.580109\pi$
$331$	−22.7230	−	17.4360i	−1.24897	−	0.958368i	−0.999949	+	0.0101305i	$0.996775\pi$
$332$	−9.93872	−	9.10438i	−0.545458	−	0.499668i
$333$	−5.52844	−	7.20480i	−0.302956	−	0.394821i
$334$	−2.49867	+	14.1770i	−0.136721	+	0.775730i
$335$			7.56847i			0.413510i
$336$	2.05371	−	10.3818i	0.112039	−	0.566375i
$337$		−	3.83861i		−	0.209102i	−0.994520	−	0.104551i	$-0.966659\pi$
$337$		−	3.83861i		−	0.209102i	0.994520	−	0.104551i	$-0.0333406\pi$
$338$	−1.20512	−	0.212400i	−0.0655497	−	0.0115530i
$339$	0.655565	+	0.854349i	0.0356054	+	0.0464019i
$340$	−0.779528	−	17.7921i	−0.0422759	−	0.964913i
$341$	47.5932	+	36.5196i	2.57732	+	1.97765i
$342$	−2.31621	−	4.44857i	−0.125246	−	0.240551i
$343$	8.15395	−	16.6287i	0.440272	−	0.897864i
$344$	3.53148	+	4.60015i	0.190405	+	0.248023i
$345$	14.8210	+	3.97128i	0.797937	+	0.213807i
$346$	−19.5112	+	17.8815i	−1.04893	+	0.961314i
$347$	−3.10029	−	0.408161i	−0.166432	−	0.0219112i	0.0468494	−	0.998902i	$-0.485082\pi$
$347$	−3.10029	−	0.408161i	−0.166432	−	0.0219112i	−0.213282	+	0.976991i	$0.568415\pi$
$348$	1.36467	−	15.6256i	0.0731540	−	0.837619i
$349$	3.35804	+	1.39094i	0.179752	+	0.0744555i	0.470744	−	0.882270i	$-0.343986\pi$
$349$	3.35804	+	1.39094i	0.179752	+	0.0744555i	−0.290993	+	0.956725i	$0.593986\pi$
$350$	−0.762837	+	0.670104i	−0.0407753	+	0.0358186i
$351$	3.48349			0.185935
$352$	−7.46375	+	33.7274i	−0.397819	+	1.79768i
$353$	−4.06036	+	7.03275i	−0.216111	+	0.374315i	−0.953616	−	0.301027i	$-0.902671\pi$
$353$	−4.06036	+	7.03275i	−0.216111	+	0.374315i	0.737505	+	0.675342i	$0.236004\pi$
$354$	−3.81668	+	8.18653i	−0.202854	+	0.435109i
$355$	0.113981	+	0.865774i	0.00604950	+	0.0459505i
$356$	−3.98167	+	5.68826i	−0.211028	+	0.301477i
$357$	−0.216164	+	10.2590i	−0.0114406	+	0.542964i
$358$	−2.16863	−	0.683584i	−0.114615	−	0.0361286i
$359$	−18.6861	−	5.00694i	−0.986217	−	0.264256i	−0.270556	−	0.962704i	$-0.587208\pi$
$359$	−18.6861	−	5.00694i	−0.986217	−	0.264256i	−0.715661	+	0.698448i	$0.753874\pi$
$360$	3.95207	−	5.15287i	0.208292	−	0.271580i
$361$	−6.20384	+	1.66231i	−0.326518	+	0.0874902i
$362$	−9.33414	+	14.6541i	−0.490592	+	0.770204i
$363$	−24.2878	+	10.0603i	−1.27478	+	0.528031i
$364$	−14.3651	+	11.5505i	−0.752938	+	0.605413i
$365$	−2.87455	+	6.93979i	−0.150461	+	0.363245i
$366$	14.4738	+	2.55099i	0.756557	+	0.133342i
$367$	6.13293	+	3.54085i	0.320136	+	0.184831i	0.651453	−	0.758689i	$-0.274160\pi$
$367$	6.13293	+	3.54085i	0.320136	+	0.184831i	−0.331317	+	0.943519i	$0.607493\pi$
$368$	21.8930	−	15.3395i	1.14125	−	0.799629i
$369$	−4.33500	+	2.50282i	−0.225671	+	0.130291i
$370$	22.5899	+	18.9522i	1.17439	+	0.985279i
$371$	−1.65354	−	0.480620i	−0.0858476	−	0.0249526i
$372$	−19.1829	−	4.24969i	−0.994588	−	0.220336i
$373$	1.54860	+	1.18828i	0.0801833	+	0.0615268i	0.648075	−	0.761576i	$-0.275574\pi$
$373$	1.54860	+	1.18828i	0.0801833	+	0.0615268i	−0.567892	+	0.823103i	$0.692241\pi$
$374$	1.45841	−	33.4615i	0.0754128	−	1.73025i
$375$	10.4868	−	2.80992i	0.541534	−	0.145103i
$376$	−8.14153	−	8.13782i	−0.419867	−	0.419676i
$377$	−19.3177	+	19.3177i	−0.994914	+	0.994914i
$378$	−2.46472	+	2.81516i	−0.126772	+	0.144796i
$379$	−13.5663	−	32.7520i	−0.696855	−	1.68236i	−0.730491	−	0.682922i	$-0.760709\pi$
$379$	−13.5663	−	32.7520i	−0.696855	−	1.68236i	0.0336360	−	0.999434i	$-0.489291\pi$
$380$	10.4696	+	12.4734i	0.537081	+	0.639871i
$381$	17.6776	−	13.5645i	0.905650	−	0.694929i
$382$	21.4031	+	9.97845i	1.09508	+	0.510542i
$383$	−16.3242	−	28.2744i	−0.834129	−	1.44475i	−0.894738	−	0.446592i	$-0.852638\pi$
$383$	−16.3242	−	28.2744i	−0.834129	−	1.44475i	0.0606092	−	0.998162i	$-0.480696\pi$
$384$	−2.45461	−	11.0442i	−0.125261	−	0.563598i
$385$	−29.8976	+	21.9563i	−1.52372	+	1.11900i
$386$	1.42123	+	16.2305i	0.0723387	+	0.826113i
$387$	−0.267629	−	2.03285i	−0.0136044	−	0.103335i
$388$	−8.31379	+	22.8527i	−0.422069	+	1.16017i
$389$	18.7670	+	2.47073i	0.951526	+	0.125271i	0.590279	−	0.807199i	$-0.299018\pi$
$389$	18.7670	+	2.47073i	0.951526	+	0.125271i	0.361247	+	0.932470i	$0.382351\pi$
$390$	−11.0425	+	2.44893i	−0.559157	+	0.124007i
$391$	−18.3278	+	18.3278i	−0.926877	+	0.926877i
$392$	0.829478	−	19.7816i	0.0418950	−	0.999122i
$393$	−1.83229	−	1.83229i	−0.0924266	−	0.0924266i
$394$	19.7828	+	12.6009i	0.996642	+	0.634825i
$395$	−2.12630	+	16.1509i	−0.106986	+	0.812639i
$396$	8.24957	−	9.00557i	0.414557	−	0.452547i
$397$	−3.49585	+	0.460237i	−0.175452	+	0.0230986i	−0.217740	−	0.976007i	$-0.569868\pi$
$397$	−3.49585	+	0.460237i	−0.175452	+	0.0230986i	0.0422885	+	0.999105i	$0.486535\pi$
$398$	10.3449	+	8.67906i	0.518543	+	0.435042i
$399$	−5.55394	−	7.56273i	−0.278045	−	0.378610i
$400$	−0.458439	+	0.983907i	−0.0229220	+	0.0491953i
$401$	7.75501	−	4.47736i	0.387267	−	0.223589i	−0.293708	−	0.955895i	$-0.594889\pi$
$401$	7.75501	−	4.47736i	0.387267	−	0.223589i	0.680975	+	0.732307i	$0.261556\pi$
$402$	−1.59479	−	4.38062i	−0.0795410	−	0.218485i
$403$	20.8329	+	27.1500i	1.03776	+	1.35244i
$404$	2.09008	−	4.01649i	0.103985	−	0.199828i
$405$	−2.12118	+	0.878620i	−0.105402	+	0.0436590i
$406$	−1.94335	−	29.2796i	−0.0964468	−	1.45312i
$407$	39.2130	+	39.2130i	1.94372	+	1.94372i
$408$	4.20026	+	10.1338i	0.207944	+	0.501697i
$409$	3.52653	+	13.1612i	0.174376	+	0.650779i	0.996657	+	0.0816980i	$0.0260343\pi$
$409$	3.52653	+	13.1612i	0.174376	+	0.650779i	−0.822281	+	0.569081i	$0.807299\pi$
$410$	11.9822	−	10.9813i	0.591758	−	0.542329i
$411$	1.03839	−	1.35326i	0.0512202	−	0.0667515i
$412$	−3.37140	+	4.81642i	−0.166097	+	0.237288i
$413$	−4.71648	+	16.2267i	−0.232083	+	0.798465i
$414$	−9.41519	+	0.824443i	−0.462732	+	0.0405192i
$415$	−7.73643	−	13.3999i	−0.379766	−	0.657775i
$416$	−9.09240	+	17.4825i	−0.445792	+	0.857152i
$417$	−5.72882	+	9.92260i	−0.280541	+	0.485912i
$418$	17.5686	+	25.0865i	0.859309	+	1.22702i
$419$	37.4211	+	15.5003i	1.82814	+	0.757241i	0.969687	+	0.244351i	$0.0785750\pi$
$419$	37.4211	+	15.5003i	1.82814	+	0.757241i	0.858455	+	0.512890i	$0.171425\pi$
$420$	5.83394	−	10.6566i	0.284667	−	0.519990i
$421$	−2.01837	−	4.87278i	−0.0983693	−	0.237485i	0.867032	−	0.498252i	$-0.166024\pi$
$421$	−2.01837	−	4.87278i	−0.0983693	−	0.237485i	−0.965402	+	0.260767i	$0.916024\pi$
$422$	−6.18422	−	27.8852i	−0.301043	−	1.35743i
$423$	1.05335	+	3.93116i	0.0512157	+	0.191140i
$424$	−1.82507	+	0.240697i	−0.0886330	+	0.0116893i
$425$	0.272399	−	1.01661i	0.0132133	−	0.0493127i
$426$	−0.248404	−	0.477091i	−0.0120352	−	0.0231151i
$427$	27.4892	+	0.579217i	1.33030	+	0.0280303i
$428$	17.4773	−	11.1380i	0.844798	−	0.538376i
$429$	−21.0898	+	2.77653i	−1.01823	+	0.134052i
$430$	2.27748	+	6.25586i	0.109830	+	0.301684i
$431$	−21.4150	−	12.3639i	−1.03152	−	0.595550i	−0.114102	−	0.993469i	$-0.536399\pi$
$431$	−21.4150	−	12.3639i	−1.03152	−	0.595550i	−0.917420	+	0.397919i	$0.869732\pi$
$432$	−1.20166	+	3.81523i	−0.0578151	+	0.183560i
$433$		−	15.8777i		−	0.763032i	−0.924362	−	0.381516i	$-0.875402\pi$
$433$		−	15.8777i		−	0.763032i	0.924362	−	0.381516i	$-0.124598\pi$
$434$	−36.6813	−	2.37383i	−1.76076	−	0.113948i
$435$	6.89061	−	16.6354i	0.330379	−	0.797606i
$436$	28.5294	−	9.00005i	1.36631	−	0.431024i
$437$	3.09360	−	23.4982i	0.147987	−	1.12407i
$438$	0.201469	−	4.62245i	0.00962655	−	0.220869i
$439$	−6.26387	+	23.3771i	−0.298958	+	1.11573i	0.639064	+	0.769153i	$0.279322\pi$
$439$	−6.26387	+	23.3771i	−0.298958	+	1.11573i	−0.938022	+	0.346574i	$0.887345\pi$
$440$	−19.8196	+	34.3467i	−0.944863	+	1.63741i
$441$	−3.75225	+	5.90937i	−0.178679	+	0.281398i
$442$	5.74407	−	18.2227i	0.273217	−	0.866764i
$443$	15.8866	−	20.7038i	0.754796	−	0.983669i	−0.245104	−	0.969497i	$-0.578822\pi$
$443$	15.8866	−	20.7038i	0.754796	−	0.983669i	0.999900	−	0.0141724i	$-0.00451137\pi$
$444$	−17.0685	−	6.20949i	−0.810035	−	0.294689i
$445$	−6.32363	+	4.85229i	−0.299769	+	0.230021i
$446$	−10.0289	+	7.02347i	−0.474884	+	0.332571i
$447$	−11.8046			−0.558337
$448$	−7.69513	−	19.7176i	−0.363561	−	0.931571i
$449$	−26.4112			−1.24642			−0.623210	−	0.782055i	$-0.714172\pi$
$449$	−26.4112			−1.24642			−0.623210	+	0.782055i	$0.714172\pi$
$450$	0.314350	−	0.220146i	0.0148186	−	0.0103778i
$451$	24.2502	−	18.6078i	1.14190	−	0.876209i
$452$	2.02399	+	0.736324i	0.0952005	+	0.0346338i
$453$	3.35122	−	4.36740i	0.157454	−	0.205198i
$454$	8.40618	−	26.6681i	0.394522	−	1.25159i
$455$	−19.7160	+	7.68413i	−0.924300	+	0.360238i
$456$	−8.68814	−	5.01346i	−0.406859	−	0.234777i
$457$	−3.63275	+	13.5576i	−0.169933	+	0.634199i	0.827426	+	0.561574i	$0.189804\pi$
$457$	−3.63275	+	13.5576i	−0.169933	+	0.634199i	−0.997359	+	0.0726245i	$0.976863\pi$
$458$	0.268333	−	6.15658i	0.0125384	−	0.287678i
$459$	0.506232	−	3.84522i	0.0236289	−	0.179479i
$460$	29.2660	−	9.23242i	1.36453	−	0.430464i
$461$	−3.67374	+	8.86919i	−0.171103	+	0.413079i	−0.986048	−	0.166458i	$-0.946767\pi$
$461$	−3.67374	+	8.86919i	−0.171103	+	0.413079i	0.814945	+	0.579538i	$0.196767\pi$
$462$	12.6782	−	19.0081i	0.589841	−	0.884339i
$463$		−	4.14545i		−	0.192656i	−0.995350	−	0.0963278i	$-0.969290\pi$
$463$		−	4.14545i		−	0.192656i	0.995350	−	0.0963278i	$-0.0307097\pi$
$464$	−14.4936	−	27.8212i	−0.672847	−	1.29157i
$465$	−19.5335	−	11.2777i	−0.905846	−	0.522990i
$466$	−13.3883	−	36.7753i	−0.620200	−	1.70358i
$467$	10.1397	−	1.33492i	0.469209	−	0.0617726i	0.107785	−	0.994174i	$-0.465624\pi$
$467$	10.1397	−	1.33492i	0.469209	−	0.0617726i	0.361424	+	0.932402i	$0.382291\pi$
$468$	5.87533	−	3.74425i	0.271587	−	0.173078i
$469$	−4.20071	−	7.64331i	−0.193971	−	0.352935i
$470$	−6.10271	−	11.7210i	−0.281497	−	0.540651i
$471$	1.93363	−	7.21640i	0.0890969	−	0.332514i
$472$	2.36204	+	17.9099i	0.108722	+	0.824372i
$473$	3.24058	+	12.0940i	0.149002	+	0.556083i
$474$	−2.17253	−	9.79615i	−0.0997878	−	0.449952i
$475$	0.368290	+	0.889132i	0.0168983	+	0.0407962i
$476$	10.6624	+	17.5354i	0.488708	+	0.803733i
$477$	0.601303	+	0.249068i	0.0275318	+	0.0114040i
$478$	13.3398	+	19.0481i	0.610149	+	0.871242i
$479$	9.77374	−	16.9286i	0.446574	−	0.773488i	−0.551587	−	0.834118i	$-0.685977\pi$
$479$	9.77374	−	16.9286i	0.446574	−	0.773488i	0.998160	+	0.0606292i	$0.0193107\pi$
$480$	1.12705	−	12.9388i	0.0514426	−	0.590574i
$481$	15.8176	+	27.3969i	0.721220	+	1.24919i
$482$	19.4661	−	1.70456i	0.886658	−	0.0776404i
$483$	−17.1717	+	4.21553i	−0.781341	+	0.191813i
$484$	−30.1509	+	43.0739i	−1.37050	+	1.95790i
$485$	−16.9945	+	22.1476i	−0.771678	+	1.00567i
$486$	1.04260	−	0.955508i	0.0472931	−	0.0433427i
$487$	−4.70064	−	17.5430i	−0.213007	−	0.794951i	−0.986859	−	0.161585i	$-0.948339\pi$
$487$	−4.70064	−	17.5430i	−0.213007	−	0.794951i	0.773852	−	0.633366i	$-0.218327\pi$
$488$	27.1537	−	11.2547i	1.22919	−	0.509476i
$489$	6.94748	+	6.94748i	0.314176	+	0.314176i
$490$	7.74005	−	21.3702i	0.349660	−	0.965407i
$491$	3.18273	−	1.31833i	0.143634	−	0.0594953i	−0.309708	−	0.950832i	$-0.600231\pi$
$491$	3.18273	−	1.31833i	0.143634	−	0.0594953i	0.453343	+	0.891336i	$0.350231\pi$
$492$	−4.62134	+	8.88080i	−0.208346	+	0.400377i
$493$	18.5164	+	24.1310i	0.833935	+	1.08681i
$494$	5.97676	+	16.4171i	0.268907	+	0.738642i
$495$	12.1418	−	7.01006i	0.545732	−	0.315079i
$496$	−36.9221	+	13.4513i	−1.65785	+	0.603979i
$497$	−0.595637	−	0.811072i	−0.0267180	−	0.0363815i
$498$	7.30139	+	6.12565i	0.327183	+	0.274497i
$499$	−29.3984	+	3.87038i	−1.31606	+	0.173262i	−0.755660	−	0.654964i	$-0.772684\pi$
$499$	−29.3984	+	3.87038i	−1.31606	+	0.173262i	−0.560395	+	0.828226i	$0.689351\pi$
$500$	14.6669	−	16.0110i	0.655924	−	0.716034i
$501$	1.32865	−	10.0921i	0.0593595	−	0.450880i
$502$	−7.66436	−	4.88192i	−0.342077	−	0.217891i
$503$	−25.6093	−	25.6093i	−1.14186	−	1.14186i	−0.988110	−	0.153750i	$-0.950865\pi$
$503$	−25.6093	−	25.6093i	−1.14186	−	1.14186i	−0.153750	−	0.988110i	$-0.549135\pi$
$504$	−1.13116	+	7.39733i	−0.0503859	+	0.329503i
$505$	3.67536	−	3.67536i	0.163551	−	0.163551i
$506$	56.3446	−	12.4958i	2.50482	−	0.555505i
$507$	0.857878	+	0.112942i	0.0380997	+	0.00501592i
$508$	15.2355	−	41.8790i	0.675966	−	1.85808i
$509$	−1.13712	−	8.63731i	−0.0504021	−	0.382842i	−0.997991	−	0.0633508i	$-0.979821\pi$
$509$	−1.13712	−	8.63731i	−0.0504021	−	0.382842i	0.947589	−	0.319491i	$-0.103512\pi$
$510$	1.09850	+	12.5450i	0.0486426	+	0.555501i
$511$	−0.948799	−	8.60386i	−0.0419724	−	0.380612i
$512$	−16.0109	−	15.9891i	−0.707590	−	0.706623i
$513$	1.77323	+	3.07132i	0.0782898	+	0.135602i
$514$	22.0975	+	10.3022i	0.974680	+	0.454411i
$515$	−5.35441	+	4.10858i	−0.235944	+	0.181046i
$516$	−2.63641	−	3.14098i	−0.116061	−	0.138274i
$517$	−9.51058	−	22.9606i	−0.418275	−	1.00980i
$518$	−33.3322	−	6.60161i	−1.46453	−	0.290058i
$519$	13.2329	−	13.2329i	0.580859	−	0.580859i
$520$	−15.9922	+	15.9995i	−0.701303	+	0.701623i
$521$	24.5967	−	6.59068i	1.07760	−	0.288743i	0.323989	−	0.946061i	$-0.394976\pi$
$521$	24.5967	−	6.59068i	1.07760	−	0.288743i	0.753613	+	0.657318i	$0.228309\pi$
$522$	−0.482942	+	11.0805i	−0.0211378	+	0.484980i
$523$	6.13205	+	4.70529i	0.268136	+	0.205748i	0.734074	−	0.679069i	$-0.237616\pi$
$523$	6.13205	+	4.70529i	0.268136	+	0.205748i	−0.465938	+	0.884817i	$0.654283\pi$
$524$	−5.05981	−	1.12093i	−0.221039	−	0.0489679i
$525$	0.518263	−	0.496873i	0.0226189	−	0.0216853i
$526$	−15.1301	−	12.6937i	−0.659703	−	0.553471i
$527$	32.9968	−	19.0507i	1.43736	−	0.829862i
$528$	4.23420	−	24.0561i	0.184270	−	1.04691i
$529$	−18.7605	−	10.8314i	−0.815675	−	0.470930i
$530$	−2.08119	−	0.366807i	−0.0904011	−	0.0159331i
$531$	2.44418	−	5.90077i	0.106068	−	0.256072i
$532$	−17.4962	−	6.78577i	−0.758558	−	0.294200i
$533$	16.1098	−	6.67288i	0.697791	−	0.289035i
$534$	2.63766	−	4.14098i	0.114143	−	0.179198i
$535$	22.9807	−	6.15766i	0.993542	−	0.266219i
$536$	−7.39834	−	5.67427i	−0.319560	−	0.245091i
$537$	1.55304	+	0.416137i	0.0670188	+	0.0179576i
$538$	−35.1773	−	11.0884i	−1.51660	−	0.478056i
$539$	18.0069	−	38.7674i	0.775611	−	1.66983i
$540$	−2.63323	+	3.76186i	−0.113316	+	0.161885i
$541$	0.103052	+	0.782759i	0.00443056	+	0.0336534i	0.993517	−	0.113681i	$-0.0362641\pi$
$541$	0.103052	+	0.782759i	0.00443056	+	0.0336534i	−0.989087	+	0.147334i	$0.952931\pi$
$542$	−9.25132	+	19.8435i	−0.397378	+	0.852350i
$543$	6.14277	−	10.6396i	0.263612	−	0.456589i
$544$	17.9766	+	12.5772i	0.770740	+	0.539242i
$545$	34.3420			1.47105
$546$	9.79241	−	8.60202i	0.419077	−	0.368132i
$547$	26.7991	+	11.1006i	1.14585	+	0.474626i	0.873139	−	0.487471i	$-0.162081\pi$
$547$	26.7991	+	11.1006i	1.14585	+	0.474626i	0.272709	+	0.962097i	$0.412081\pi$
$548$	0.296815	−	3.39856i	0.0126793	−	0.145179i
$549$	−10.3034	−	1.35646i	−0.439736	−	0.0578924i
$550$	−1.72768	+	1.58337i	−0.0736684	+	0.0675149i
$551$	−26.8654	−	7.19857i	−1.14451	−	0.306669i
$552$	−14.9937	+	11.5105i	−0.638174	+	0.489919i
$553$	−6.81686	−	17.4907i	−0.289883	−	0.743782i
$554$	17.7483	+	34.0878i	0.754052	+	1.44825i
$555$	−16.5418	−	12.6930i	−0.702162	−	0.538787i
$556$	1.00303	+	22.8933i	0.0425379	+	0.970893i
$557$	−8.60666	−	11.2164i	−0.364676	−	0.475255i	0.574592	−	0.818440i	$-0.305161\pi$
$557$	−8.60666	−	11.2164i	−0.364676	−	0.475255i	−0.939268	+	0.343185i	$0.888494\pi$
$558$	13.6824	+	2.41150i	0.579220	+	0.102087i
$559$			7.14252i			0.302096i
$560$	−1.61469	−	24.2443i	−0.0682332	−	1.02451i
$561$			23.6833i			0.999910i
$562$	−1.27789	+	7.25049i	−0.0539045	+	0.305844i
$563$	−19.6072	−	25.5526i	−0.826344	−	1.07691i	−0.995816	−	0.0913778i	$-0.970873\pi$
$563$	−19.6072	−	25.5526i	−0.826344	−	1.07691i	0.169472	−	0.985535i	$-0.445794\pi$
$564$	6.00204	+	5.49817i	0.252731	+	0.231515i
$565$	1.96154	+	1.50514i	0.0825226	+	0.0633218i
$566$	−35.4831	+	18.4748i	−1.49147	+	0.776553i
$567$	1.65449	−	2.06462i	0.0694821	−	0.0867059i
$568$	−0.931766	−	0.537673i	−0.0390960	−	0.0225602i
$569$	−20.5610	−	5.50931i	−0.861963	−	0.230962i	−0.199354	−	0.979928i	$-0.563884\pi$
$569$	−20.5610	−	5.50931i	−0.861963	−	0.230962i	−0.662609	+	0.748965i	$0.730551\pi$
$570$	−7.78018	−	8.48929i	−0.325876	−	0.355577i
$571$	−0.155820	−	0.0205141i	−0.00652088	−	0.000858490i	0.127265	−	0.991869i	$-0.459380\pi$
$571$	−0.155820	−	0.0205141i	−0.00652088	−	0.000858490i	−0.133786	+	0.991010i	$0.542713\pi$
$572$	−32.5862	+	27.3515i	−1.36250	+	1.14362i
$573$	−15.4272	−	6.39014i	−0.644479	−	0.266952i
$574$	−6.00572	+	17.7404i	−0.250674	+	0.740468i
$575$	1.81355			0.0756303
$576$	2.07407	+	7.72646i	0.0864197	+	0.321936i
$577$	2.10872	−	3.65241i	0.0877871	−	0.152052i	−0.818788	−	0.574095i	$-0.805354\pi$
$577$	2.10872	−	3.65241i	0.0877871	−	0.152052i	0.906575	+	0.422044i	$0.138687\pi$
$578$	2.50972	+	1.17007i	0.104391	+	0.0486685i
$579$	−1.50374	−	11.4221i	−0.0624935	−	0.474685i
$580$	−6.25881	−	35.4640i	−0.259883	−	1.47256i
$581$	15.2502	+	9.23845i	0.632686	+	0.383275i
$582$	5.16952	−	16.4000i	0.214284	−	0.679801i
$583$	−3.83894	−	1.02864i	−0.158993	−	0.0426020i
$584$	−4.62866	−	8.01286i	−0.191535	−	0.331575i
$585$	7.72539	−	2.07001i	0.319405	−	0.0855844i
$586$	−33.4460	−	21.3039i	−1.38164	−	0.880055i
$587$	11.4087	−	4.72565i	0.470888	−	0.195048i	−0.134604	−	0.990899i	$-0.542976\pi$
$587$	11.4087	−	4.72565i	0.470888	−	0.195048i	0.605492	+	0.795851i	$0.292976\pi$
$588$	0.0231003	+	14.0000i	0.000952639	+	0.577349i
$589$	−13.3328	+	32.1883i	−0.549370	+	1.32630i
$590$	−3.59959	+	20.4234i	−0.148193	+	0.840817i
$591$	−14.3633	−	8.29263i	−0.590825	−	0.341113i
$592$	−35.4623	+	7.87312i	−1.45749	+	0.323583i
$593$	−12.1144	+	6.99426i	−0.497479	+	0.287220i	−0.727672	−	0.685925i	$-0.759398\pi$
$593$	−12.1144	+	6.99426i	−0.497479	+	0.287220i	0.230193	+	0.973145i	$0.426064\pi$
$594$	−5.55051	+	6.61587i	−0.227740	+	0.271452i
$595$	5.61686	+	22.8800i	0.230269	+	0.937987i
$596$	−19.9098	+	12.6882i	−0.815538	+	0.519729i
$597$	−7.57524	−	5.81268i	−0.310034	−	0.237897i
$598$	32.8920	+	1.43359i	1.34506	+	0.0586240i
$599$	12.8292	−	3.43756i	0.524186	−	0.140455i	0.0129836	−	0.999916i	$-0.495867\pi$
$599$	12.8292	−	3.43756i	0.524186	−	0.140455i	0.511202	+	0.859461i	$0.329200\pi$
$600$	0.293564	−	0.709183i	0.0119847	−	0.0289523i
$601$	30.0988	−	30.0988i	1.22775	−	1.22775i	0.262944	−	0.964811i	$-0.415307\pi$
$601$	30.0988	−	30.0988i	1.22775	−	1.22775i	0.964811	−	0.262944i	$-0.0846933\pi$
$602$	−5.77218	−	5.05364i	−0.235256	−	0.205971i
$603$	1.26150	+	3.04552i	0.0513721	+	0.124023i
$604$	0.957916	−	10.9682i	0.0389771	−	0.446291i
$605$	−47.8852	+	36.7436i	−1.94681	+	1.49384i
$606$	−1.35284	+	2.90175i	−0.0549553	+	0.117875i
$607$	9.99223	+	17.3071i	0.405572	+	0.702472i	0.994388	−	0.105796i	$-0.0337389\pi$
$607$	9.99223	+	17.3071i	0.405572	+	0.702472i	−0.588816	+	0.808267i	$0.700406\pi$
$608$	−20.0423	+	0.882693i	−0.812824	+	0.0357979i
$609$	2.27437	+	20.6244i	0.0921621	+	0.835741i
$610$	33.6146	−	2.94347i	1.36102	−	0.119178i
$611$	−1.85050	−	14.0560i	−0.0748633	−	0.568643i
$612$	−3.27923	−	7.02955i	−0.132555	−	0.284153i
$613$	2.51899	+	0.331631i	0.101741	+	0.0133945i	0.181225	−	0.983442i	$-0.441994\pi$
$613$	2.51899	+	0.331631i	0.101741	+	0.0133945i	−0.0794837	+	0.996836i	$0.525327\pi$
$614$	8.99027	+	40.5379i	0.362818	+	1.63598i
$615$	−8.12654	+	8.12654i	−0.327694	+	0.327694i
$616$	0.952234	−	45.6867i	0.0383666	−	1.84077i
$617$	27.3266	+	27.3266i	1.10013	+	1.10013i	0.994394	+	0.105734i	$0.0337193\pi$
$617$	27.3266	+	27.3266i	1.10013	+	1.10013i	0.105734	+	0.994394i	$0.466281\pi$
$618$	2.23338	−	3.50630i	0.0898398	−	0.141044i
$619$	2.94158	−	22.3435i	0.118232	−	0.898062i	−0.824815	−	0.565403i	$-0.808721\pi$
$619$	2.94158	−	22.3435i	0.118232	−	0.898062i	0.943047	−	0.332659i	$-0.107946\pi$
$620$	−45.0675	+	1.97455i	−1.80996	+	0.0792999i
$621$	6.62585	−	0.872309i	0.265886	−	0.0350046i
$622$	18.8628	−	22.4833i	0.756331	−	0.901499i
$623$	3.69300	−	8.41006i	0.147957	−	0.336942i
$624$	5.88491	−	12.6303i	0.235585	−	0.505615i
$625$	22.7619	−	13.1416i	0.910477	−	0.525664i
$626$	−7.56066	+	2.75251i	−0.302185	+	0.110012i
$627$	−13.1835	−	17.1811i	−0.526499	−	0.686146i
$628$	−4.49529	−	14.2497i	−0.179382	−	0.568624i
$629$	32.5404	−	13.4787i	1.29747	−	0.537430i
$630$	−3.79319	+	7.70784i	−0.151124	+	0.307088i
$631$	12.4544	+	12.4544i	0.495801	+	0.495801i	0.910128	−	0.414327i	$-0.135983\pi$
$631$	12.4544	+	12.4544i	0.495801	+	0.495801i	−0.414327	+	0.910128i	$0.635983\pi$
$632$	−14.1937	−	14.1872i	−0.564594	−	0.564337i
$633$	5.22734	+	19.5087i	0.207768	+	0.775401i
$634$	11.1866	+	12.2062i	0.444278	+	0.484770i
$635$	31.1433	−	40.5868i	1.23588	−	1.61064i
$636$	1.28188	−	0.226231i	0.0508299	−	0.00897064i
$637$	15.6460	−	18.7030i	0.619918	−	0.741041i
$638$	−5.90791	−	67.4687i	−0.233897	−	2.67111i
$639$	0.190171	+	0.329386i	0.00752305	+	0.0130303i
$640$	−12.0065	−	23.0343i	−0.474598	−	0.910511i
$641$	5.48570	−	9.50150i	0.216672	−	0.375287i	−0.737117	−	0.675766i	$-0.763813\pi$
$641$	5.48570	−	9.50150i	0.216672	−	0.375287i	0.953788	+	0.300479i	$0.0971465\pi$
$642$	−12.0037	+	8.40642i	−0.473747	+	0.331775i
$643$	0.939210	+	0.389034i	0.0370388	+	0.0153420i	0.401126	−	0.916023i	$-0.368619\pi$
$643$	0.939210	+	0.389034i	0.0370388	+	0.0153420i	−0.364087	+	0.931365i	$0.618619\pi$
$644$	−24.4311	+	25.5671i	−0.962721	+	1.00749i
$645$	−1.80151	−	4.34924i	−0.0709345	−	0.171251i
$646$	18.9905	−	4.21160i	0.747170	−	0.165703i
$647$	−1.34606	−	5.02355i	−0.0529189	−	0.197496i	0.934406	−	0.356211i	$-0.115932\pi$
$647$	−1.34606	−	5.02355i	−0.0529189	−	0.197496i	−0.987324	+	0.158715i	$0.949265\pi$
$648$	0.731428	−	2.73222i	0.0287332	−	0.107332i
$649$	−10.0944	+	37.6728i	−0.396239	+	1.47879i
$650$	−1.18576	+	0.617384i	−0.0465095	+	0.0242158i
$651$	25.9861	+	0.547545i	1.01848	+	0.0214600i
$652$	19.1853	+	4.25022i	0.751354	+	0.166451i
$653$	14.0706	−	1.85243i	0.550626	−	0.0724913i	0.149920	−	0.988698i	$-0.452098\pi$
$653$	14.0706	−	1.85243i	0.550626	−	0.0724913i	0.400706	+	0.916207i	$0.368765\pi$
$654$	−19.8771	+	7.23638i	−0.777256	+	0.282965i
$655$	−5.15229	−	2.97468i	−0.201317	−	0.116230i
$656$	1.75114	+	19.9458i	0.0683705	+	0.778753i
$657$			3.27167i			0.127640i
$658$	12.6685	+	8.44974i	0.493871	+	0.329405i
$659$	−3.29151	+	7.94642i	−0.128219	+	0.309548i	−0.974932	−	0.222501i	$-0.928578\pi$
$659$	−3.29151	+	7.94642i	−0.128219	+	0.309548i	0.846713	+	0.532049i	$0.178578\pi$
$660$	12.9438	−	24.8740i	0.503835	−	0.968218i
$661$	−0.427743	+	3.24903i	−0.0166373	+	0.126373i	−0.997748	−	0.0670746i	$-0.978633\pi$
$661$	−0.427743	+	3.24903i	−0.0166373	+	0.126373i	0.981111	+	0.193447i	$0.0619668\pi$
$662$	40.4671	+	1.76375i	1.57280	+	0.0685501i
$663$	−3.49674	+	13.0500i	−0.135802	+	0.506821i
$664$	18.8989	+	2.48370i	0.733418	+	0.0963863i
$665$	−16.8111	−	13.4716i	−0.651906	−	0.522407i
$666$	12.2490	+	3.86107i	0.474639	+	0.149613i
$667$	−31.9063	+	41.5811i	−1.23542	+	1.61003i
$668$	−8.60659	−	18.4496i	−0.332999	−	0.713836i
$669$	6.86855	−	5.27043i	0.265554	−	0.203766i
$670$	−6.13990	−	8.76728i	−0.237205	−	0.338709i
$671$	63.4600			2.44985
$672$	6.04322	+	13.6923i	0.233122	+	0.528193i
$673$	1.62493			0.0626363			0.0313181	−	0.999509i	$-0.490029\pi$
$673$	1.62493			0.0626363			0.0313181	+	0.999509i	$0.490029\pi$
$674$	3.11406	+	4.44662i	0.119949	+	0.171277i
$675$	−0.215290	+	0.165198i	−0.00828651	+	0.00635846i
$676$	1.56831	−	0.731605i	0.0603196	−	0.0281386i
$677$	−19.4706	+	25.3746i	−0.748315	+	0.975223i	0.251657	+	0.967816i	$0.419024\pi$
$677$	−19.4706	+	25.3746i	−0.748315	+	0.975223i	−0.999973	+	0.00740687i	$0.997642\pi$
$678$	−1.45249	−	0.457848i	−0.0557826	−	0.0175835i
$679$	4.86995	−	31.7990i	0.186892	−	1.22033i
$680$	15.3368	+	19.9779i	0.588140	+	0.766117i
$681$	−5.11732	+	19.0981i	−0.196096	+	0.731841i
$682$	−84.7582	−	3.69417i	−3.24556	−	0.141457i
$683$	−2.31413	+	17.5775i	−0.0885476	+	0.672586i	0.888394	+	0.459081i	$0.151821\pi$
$683$	−2.31413	+	17.5775i	−0.0885476	+	0.672586i	−0.976942	+	0.213505i	$0.931512\pi$
$684$	6.29198	+	3.27418i	0.240580	+	0.125191i
$685$	1.49871	−	3.61820i	0.0572626	−	0.138244i
$686$	4.04448	+	25.8774i	0.154419	+	0.988005i
$687$			4.35749i			0.166249i
$688$	−7.82271	−	2.46388i	−0.298238	−	0.0939345i
$689$	−1.96347	−	1.13361i	−0.0748021	−	0.0431870i
$690$	−20.3903	+	7.42321i	−0.776245	+	0.282597i
$691$	0.979715	−	0.128982i	0.0372701	−	0.00490670i	−0.111868	−	0.993723i	$-0.535683\pi$
$691$	0.979715	−	0.128982i	0.0372701	−	0.00490670i	0.149138	+	0.988816i	$0.452350\pi$
$692$	8.09540	−	36.5422i	0.307741	−	1.38913i
$693$	−8.37105	+	13.8184i	−0.317990	+	0.524917i
$694$	3.92248	−	2.04229i	0.148895	−	0.0775244i
$695$	−6.80852	+	25.4098i	−0.258262	+	0.963847i
$696$	11.0954	+	19.2077i	0.420570	+	0.728065i
$697$	−5.02467	−	18.7523i	−0.190323	−	0.710295i
$698$	−5.01833	+	1.11294i	−0.189947	+	0.0421253i
$699$	10.5903	+	25.5672i	0.400561	+	0.967040i
$700$	0.340045	−	1.39509i	0.0128525	−	0.0527296i
$701$	4.02293	+	1.66635i	0.151944	+	0.0629372i	0.457359	−	0.889282i	$-0.348795\pi$
$701$	4.02293	+	1.66635i	0.151944	+	0.0629372i	−0.305415	+	0.952219i	$0.598795\pi$
$702$	−4.03526	+	2.82597i	−0.152301	+	0.106660i
$703$	−16.1035	+	27.8920i	−0.607353	+	1.05197i
$704$	−18.7153	−	45.1246i	−0.705360	−	1.70070i
$705$	4.67206	+	8.09225i	0.175960	+	0.304772i
$706$	−1.00180	−	11.4407i	−0.0377034	−	0.430575i
$707$	−1.67177	+	5.75163i	−0.0628735	+	0.216312i
$708$	−2.22008	−	12.5795i	−0.0834356	−	0.472767i
$709$	−0.964470	+	1.25692i	−0.0362214	+	0.0472047i	−0.811113	−	0.584890i	$-0.801138\pi$
$709$	−0.964470	+	1.25692i	−0.0362214	+	0.0472047i	0.774891	+	0.632094i	$0.217804\pi$
$710$	−0.834392	−	0.910440i	−0.0313142	−	0.0341682i
$711$	1.83638	+	6.85346i	0.0688696	+	0.257025i
$712$	−0.00223754	−	9.81937i	−8.38554e−5	−	0.367996i
$713$	46.4244	+	46.4244i	1.73861	+	1.73861i
$714$	−8.07218	−	12.0593i	−0.302094	−	0.451309i
$715$	−45.1213	+	18.6899i	−1.68744	+	0.698961i
$716$	3.06668	−	0.967433i	0.114607	−	0.0361547i
$717$	−10.0102	−	13.0456i	−0.373838	−	0.487195i
$718$	25.7078	−	9.35908i	0.959406	−	0.349278i
$719$	−24.3397	+	14.0525i	−0.907718	+	0.524071i	−0.879696	−	0.475536i	$-0.842254\pi$
$719$	−24.3397	+	14.0525i	−0.907718	+	0.524071i	−0.0280220	+	0.999607i	$0.508921\pi$
$720$	−0.397803	+	9.17516i	−0.0148253	+	0.341938i
$721$	3.12697	−	7.12105i	0.116455	−	0.265202i
$722$	5.83794	−	6.95846i	0.217266	−	0.258967i
$723$	−13.6991	+	1.80352i	−0.509475	+	0.0670737i
$724$	−1.07551	−	24.5475i	−0.0399708	−	0.912302i
$725$	0.277786	−	2.11000i	0.0103167	−	0.0783633i
$726$	19.9734	−	31.3573i	0.741284	−	1.16378i
$727$	−8.17526	−	8.17526i	−0.303203	−	0.303203i	0.539062	−	0.842266i	$-0.318779\pi$
$727$	−8.17526	−	8.17526i	−0.303203	−	0.303203i	−0.842266	+	0.539062i	$0.818779\pi$
$728$	7.27015	−	25.0338i	0.269450	−	0.927813i
$729$	−0.707107	+	0.707107i	−0.0261891	+	0.0261891i
$730$	−2.30002	−	10.3710i	−0.0851275	−	0.383847i
$731$	7.88419	+	1.03797i	0.291607	+	0.0383908i
$732$	−18.8358	+	8.78678i	−0.696192	+	0.324769i
$733$	0.424660	+	3.22561i	0.0156852	+	0.119141i	0.997496	−	0.0707200i	$-0.0225297\pi$
$733$	0.424660	+	3.22561i	0.0156852	+	0.119141i	−0.981811	+	0.189861i	$0.939196\pi$
$734$	−9.97685	+	0.873625i	−0.368252	+	0.0322461i
$735$	−4.80986	+	15.3350i	−0.177414	+	0.565640i
$736$	−12.9165	+	35.5299i	−0.476110	+	1.30965i
$737$	−10.0648	−	17.4328i	−0.370743	−	0.642146i
$738$	2.99124	−	6.41601i	0.110109	−	0.236177i
$739$	3.60777	−	2.76834i	0.132714	−	0.101835i	−0.540271	−	0.841491i	$-0.681678\pi$
$739$	3.60777	−	2.76834i	0.132714	−	0.101835i	0.672985	+	0.739656i	$0.265012\pi$
$740$	−41.5429	−	3.62817i	−1.52715	−	0.133374i
$741$	−4.72768	−	11.4136i	−0.173676	−	0.419291i
$742$	2.30536	−	0.784685i	0.0846323	−	0.0288067i
$743$	−22.6799	+	22.6799i	−0.832043	+	0.832043i	−0.987796	−	0.155753i	$-0.950220\pi$
$743$	−22.6799	+	22.6799i	−0.832043	+	0.832043i	0.155753	+	0.987796i	$0.450220\pi$
$744$	25.6689	−	10.6393i	0.941069	−	0.390055i
$745$	−26.1792	+	7.01469i	−0.959130	+	0.256998i
$746$	−2.75788	−	0.120202i	−0.100973	−	0.00440089i
$747$	−5.34657	−	4.10257i	−0.195621	−	0.150105i
$748$	25.4561	+	39.9447i	0.930768	+	1.46052i
$749$	−19.7902	+	18.9735i	−0.723120	+	0.693275i
$750$	−9.86826	+	11.7623i	−0.360338	+	0.429500i
$751$	4.42555	−	2.55509i	0.161491	−	0.0932366i	−0.417077	−	0.908871i	$-0.636945\pi$
$751$	4.42555	−	2.55509i	0.161491	−	0.0932366i	0.578567	+	0.815635i	$0.303612\pi$
$752$	16.0329	+	2.82201i	0.584659	+	0.102908i
$753$	5.56469	+	3.21278i	0.202789	+	0.117080i
$754$	6.70609	−	38.0490i	0.244221	−	1.38566i
$755$	4.83679	−	11.6771i	0.176029	−	0.424972i
$756$	0.571330	−	5.26057i	0.0207791	−	0.191325i
$757$	19.7465	−	8.17928i	0.717700	−	0.297281i	0.00621339	−	0.999981i	$-0.498022\pi$
$757$	19.7465	−	8.17928i	0.717700	−	0.297281i	0.711487	+	0.702700i	$0.248022\pi$
$758$	42.2851	+	26.9341i	1.53586	+	0.978290i
$759$	−39.4191	+	10.5623i	−1.43082	+	0.383388i
$760$	−22.2470	−	5.95562i	−0.806982	−	0.216033i
$761$	7.82312	+	2.09620i	0.283588	+	0.0759872i	0.397809	−	0.917468i	$-0.369771\pi$
$761$	7.82312	+	2.09620i	0.283588	+	0.0759872i	−0.114221	+	0.993455i	$0.536437\pi$
$762$	−9.47345	+	30.0539i	−0.343187	+	1.08874i
$763$	−34.6816	+	19.0608i	−1.25556	+	0.690046i
$764$	−32.8882	+	5.80423i	−1.18985	+	0.209990i
$765$	−1.16228	−	8.82841i	−0.0420224	−	0.319192i
$766$	41.8474	+	19.5099i	1.51201	+	0.704921i
$767$	−11.1244	+	19.2681i	−0.401681	+	0.695731i
$768$	11.8030	+	10.8023i	0.425904	+	0.389793i
$769$	42.1938			1.52155			0.760773	−	0.649018i	$-0.224820\pi$
$769$	42.1938			1.52155			0.760773	+	0.649018i	$0.224820\pi$
$770$	16.8212	−	49.6884i	0.606195	−	1.79065i
$771$	−15.9277	−	6.59747i	−0.573622	−	0.237602i
$772$	−14.8133	−	17.6484i	−0.533143	−	0.635179i
$773$	14.0335	+	1.84754i	0.504748	+	0.0664514i	0.378601	−	0.925560i	$-0.376405\pi$
$773$	14.0335	+	1.84754i	0.504748	+	0.0664514i	0.126148	+	0.992011i	$0.459739\pi$
$774$	1.95916	+	2.13773i	0.0704207	+	0.0768390i
$775$	−2.57507	−	0.689988i	−0.0924993	−	0.0247851i
$776$	−8.90859	−	33.2170i	−0.319800	−	1.19242i
$777$	23.7504	+	3.63732i	0.852039	+	0.130488i
$778$	−23.7440	+	12.3626i	−0.851263	+	0.443222i
$779$	14.0838	+	10.8069i	0.504604	+	0.387196i
$780$	10.8048	−	11.7950i	0.386875	−	0.422329i
$781$	−1.41388	−	1.84260i	−0.0505925	−	0.0659334i
$782$	6.36244	−	36.0992i	0.227520	−	1.29090i
$783$		−	7.84253i		−	0.280269i
$784$	15.0869	+	23.5878i	0.538818	+	0.842422i
$785$		−	17.1529i		−	0.612214i
$786$	3.60895	+	0.636072i	0.128727	+	0.0226879i
$787$	5.38320	+	7.01553i	0.191890	+	0.250077i	0.879383	−	0.476115i	$-0.157955\pi$
$787$	5.38320	+	7.01553i	0.191890	+	0.250077i	−0.687493	+	0.726191i	$0.741289\pi$
$788$	−33.1387	+	1.45191i	−1.18052	+	0.0517222i
$789$	11.0793	+	8.50143i	0.394433	+	0.302659i
$790$	−10.6393	−	20.4341i	−0.378528	−	0.727011i
$791$	−2.81633	−	0.431315i	−0.100137	−	0.0153358i
$792$	−2.25051	+	17.1244i	−0.0799683	+	0.608491i
$793$	34.9678	+	9.36960i	1.24174	+	0.332724i
$794$	3.67620	−	3.36913i	0.130464	−	0.119566i
$795$	1.48152	+	0.195046i	0.0525442	+	0.00691757i
$796$	−19.0243	−	1.66150i	−0.674300	−	0.0588904i
$797$	29.6309	+	12.2735i	1.04958	+	0.434750i	0.839742	−	0.542986i	$-0.182706\pi$
$797$	29.6309	+	12.2735i	1.04958	+	0.434750i	0.209838	+	0.977736i	$0.432706\pi$
$798$	12.5689	+	4.25501i	0.444934	+	0.150626i
$799$	−15.7845			−0.558414
$800$	−0.267138	−	1.51166i	−0.00944477	−	0.0534452i
$801$	−1.73583	+	3.00655i	−0.0613327	+	0.106231i
$802$	−5.35111	+	11.4778i	−0.188954	+	0.405294i
$803$	−2.60770	−	19.8074i	−0.0920236	−	0.698989i
$804$	5.40116	+	3.78071i	0.190484	+	0.133335i
$805$	−35.5770	+	19.5529i	−1.25392	+	0.689149i
$806$	−46.1582	−	14.5498i	−1.62585	−	0.512493i
$807$	25.1919	+	6.75015i	0.886797	+	0.237617i
$808$	0.837234	+	6.34825i	0.0294538	+	0.223331i
$809$	13.1317	−	3.51864i	0.461687	−	0.123709i	−0.0204757	−	0.999790i	$-0.506518\pi$
$809$	13.1317	−	3.51864i	0.461687	−	0.123709i	0.482163	+	0.876082i	$0.339851\pi$
$810$	1.74438	−	2.73859i	0.0612913	−	0.0962242i
$811$	−5.25375	+	2.17617i	−0.184484	+	0.0764158i	−0.473013	−	0.881055i	$-0.656834\pi$
$811$	−5.25375	+	2.17617i	−0.184484	+	0.0764158i	0.288529	+	0.957471i	$0.406834\pi$
$812$	26.0042	+	32.3408i	0.912569	+	1.13494i
$813$	5.92449	−	14.3030i	0.207781	−	0.501628i
$814$	−77.2356	−	13.6127i	−2.70711	−	0.477124i
$815$	19.5359	+	11.2791i	0.684314	+	0.395089i
$816$	−13.0866	−	8.33147i	−0.458121	−	0.291660i
$817$	−6.29739	+	3.63580i	−0.220318	+	0.127201i
$818$	−14.7621	−	12.3850i	−0.516145	−	0.433030i
$819$	−6.65286	+	6.37828i	−0.232470	+	0.222875i
$820$	−4.97152	+	22.4412i	−0.173613	+	0.783682i
$821$	2.91701	+	2.23830i	0.101804	+	0.0781173i	0.658409	−	0.752660i	$-0.271230\pi$
$821$	2.91701	+	2.23830i	0.101804	+	0.0781173i	−0.556605	+	0.830777i	$0.687896\pi$
$822$	−0.105040	+	2.41001i	−0.00366368	+	0.0840586i
$823$	35.4539	−	9.49984i	1.23584	−	0.331143i	0.418992	−	0.907990i	$-0.362384\pi$
$823$	35.4539	−	9.49984i	1.23584	−	0.331143i	0.816852	+	0.576847i	$0.195717\pi$
$824$	−0.00189459	−	8.31435i	−6.60012e−5	−	0.289644i
$825$	1.17174	−	1.17174i	0.0407948	−	0.0407948i
$826$	−7.70036	−	22.6232i	−0.267930	−	0.787161i
$827$	16.0344	+	38.7106i	0.557572	+	1.34610i	0.911683	+	0.410895i	$0.134784\pi$
$827$	16.0344	+	38.7106i	0.557572	+	1.34610i	−0.354111	+	0.935203i	$0.615216\pi$
$828$	10.2377	−	8.59308i	0.355784	−	0.298630i
$829$	−41.6144	+	31.9319i	−1.44533	+	1.10904i	−0.471471	+	0.881881i	$0.656277\pi$
$829$	−41.6144	+	31.9319i	−1.44533	+	1.10904i	−0.973858	+	0.227159i	$0.927056\pi$
$830$	19.8325	+	9.24620i	0.688395	+	0.320940i
$831$	−13.5876	−	23.5344i	−0.471348	−	0.816399i
$832$	−3.65009	−	27.6279i	−0.126544	−	0.957824i
$833$	−18.3714	−	19.9887i	−0.636532	−	0.692567i
$834$	−1.41346	−	16.1418i	−0.0489441	−	0.558944i
$835$	−3.05050	−	23.1708i	−0.105567	−	0.801860i
$836$	−40.7028	−	14.8076i	−1.40773	−	0.512131i
$837$	−9.73996	−	1.28229i	−0.336662	−	0.0443224i
$838$	−55.9230	+	12.4023i	−1.93183	+	0.428430i
$839$	−30.7290	+	30.7290i	−1.06088	+	1.06088i	−0.0628600	+	0.998022i	$0.520022\pi$
$839$	−30.7290	+	30.7290i	−1.06088	+	1.06088i	−0.998022	+	0.0628600i	$0.979978\pi$
$840$	1.88716	+	17.0773i	0.0651131	+	0.589224i
$841$	22.9847	+	22.9847i	0.792576	+	0.792576i
$842$	6.29110	+	4.00720i	0.216805	+	0.138097i
$843$	0.679505	−	5.16136i	0.0234034	−	0.177767i
$844$	29.7856	+	27.2851i	1.02526	+	0.939193i
$845$	1.96964	−	0.259308i	0.0677577	−	0.00892047i
$846$	−4.40934	−	3.69931i	−0.151596	−	0.127185i
$847$	27.9649	−	63.6845i	0.960887	−	2.18823i
$848$	1.91888	−	1.75940i	0.0658946	−	0.0604181i
$849$	24.4977	−	14.1438i	0.840760	−	0.485413i
$850$	0.509174	+	1.39861i	0.0174645	+	0.0479721i
$851$	36.9467	+	48.1498i	1.26652	+	1.65056i
$852$	0.674788	+	0.351142i	0.0231179	+	0.0120299i
$853$	−14.0054	+	5.80124i	−0.479537	+	0.198631i	−0.609340	−	0.792909i	$-0.708566\pi$
$853$	−14.0054	+	5.80124i	−0.479537	+	0.198631i	0.129803	+	0.991540i	$0.458566\pi$
$854$	−32.3133	+	21.6296i	−1.10574	+	0.740150i
$855$	5.75759	+	5.75759i	0.196905	+	0.196905i
$856$	−11.2099	+	27.0806i	−0.383148	+	0.925598i
$857$	4.19298	+	15.6484i	0.143230	+	0.534540i	0.999828	+	0.0185561i	$0.00590692\pi$
$857$	4.19298	+	15.6484i	0.143230	+	0.534540i	−0.856598	+	0.515984i	$0.827426\pi$
$858$	22.1779	−	20.3254i	0.757141	−	0.693898i
$859$	−14.5637	+	18.9798i	−0.496908	+	0.647583i	−0.972725	−	0.231961i	$-0.925486\pi$
$859$	−14.5637	+	18.9798i	−0.496908	+	0.647583i	0.475817	+	0.879544i	$0.342152\pi$
$860$	−7.71327	−	5.39914i	−0.263020	−	0.184109i
$861$	3.69643	−	12.7173i	0.125974	−	0.433406i
$862$	34.8372	−	3.05053i	1.18656	−	0.103901i
$863$	4.13451	+	7.16118i	0.140740	+	0.243769i	0.927776	−	0.373139i	$-0.121718\pi$
$863$	4.13451	+	7.16118i	0.140740	+	0.243769i	−0.787035	+	0.616908i	$0.788385\pi$
$864$	−1.70310	−	5.39439i	−0.0579406	−	0.183521i
$865$	21.4833	−	37.2101i	0.730454	−	1.26518i
$866$	12.8807	+	18.3926i	0.437705	+	0.625006i
$867$	−1.80898	−	0.749306i	−0.0614363	−	0.0254478i
$868$	44.4172	−	27.0078i	1.50762	−	0.916705i
$869$	−16.5804	−	40.0287i	−0.562453	−	1.35788i
$870$	5.51339	+	24.8603i	0.186921	+	0.842844i
$871$	−2.97206	−	11.0919i	−0.100704	−	0.375834i
$872$	−25.7470	+	33.5700i	−0.871905	+	1.13682i
$873$	−3.14698	+	11.7447i	−0.106509	+	0.397498i
$874$	15.4793	+	29.7299i	0.523595	+	1.00563i
$875$	−14.8829	+	24.5677i	−0.503134	+	0.830541i
$876$	3.51657	+	5.51806i	0.118814	+	0.186438i
$877$	13.1581	−	1.73230i	0.444317	−	0.0584955i	0.0949515	−	0.995482i	$-0.469730\pi$
$877$	13.1581	−	1.73230i	0.444317	−	0.0584955i	0.349366	+	0.936986i	$0.386397\pi$
$878$	−11.7086	−	32.1614i	−0.395145	−	1.08540i
$879$	24.2834	+	14.0200i	0.819058	+	0.472884i
$880$	−4.90471	−	55.8656i	−0.165338	−	1.88323i
$881$		−	15.2076i		−	0.512356i	−0.966630	−	0.256178i	$-0.917537\pi$
$881$		−	15.2076i		−	0.512356i	0.966630	−	0.256178i	$-0.0824633\pi$
$882$	−0.447377	−	9.88938i	−0.0150640	−	0.332993i
$883$	15.3877	−	37.1492i	0.517838	−	1.25017i	−0.421391	−	0.906879i	$-0.638458\pi$
$883$	15.3877	−	37.1492i	0.517838	−	1.25017i	0.939229	−	0.343292i	$-0.111542\pi$
$884$	8.12921	+	25.7689i	0.273415	+	0.866702i
$885$	1.91405	−	14.5386i	0.0643400	−	0.488711i
$886$	−1.60703	+	36.8712i	−0.0539891	+	1.23871i
$887$	8.71267	−	32.5161i	0.292543	−	1.09178i	−0.650607	−	0.759415i	$-0.725485\pi$
$887$	8.71267	−	32.5161i	0.292543	−	1.09178i	0.943149	−	0.332369i	$-0.107848\pi$
$888$	24.8095	−	6.65374i	0.832551	−	0.223285i
$889$	−8.92447	+	58.2735i	−0.299317	+	1.95443i
$890$	3.38885	−	10.7509i	0.113594	−	0.360371i
$891$	3.71738	−	4.84459i	0.124537	−	0.162300i
$892$	5.91969	−	16.2719i	0.198206	−	0.544824i
$893$	11.4509	−	8.78655i	0.383188	−	0.294031i
$894$	13.6744	−	9.57643i	0.457339	−	0.320284i
$895$	3.69149			0.123393
$896$	24.9099	+	16.5981i	0.832180	+	0.554505i
$897$	−23.2803			−0.777305
$898$	30.5945	−	21.4260i	1.02095	−	0.714995i
$899$	61.1240	−	46.9021i	2.03860	−	1.56427i
$900$	−0.185548	+	0.510031i	−0.00618495	+	0.0170010i
$901$	−1.53666	+	2.00261i	−0.0511935	+	0.0667167i
$902$	−12.9957	+	41.2281i	−0.432711	+	1.37275i
$903$	4.23327	+	3.39235i	0.140875	+	0.112890i
$904$	−2.94192	+	0.789004i	−0.0978469	+	0.0262419i
$905$	7.30050	−	27.2458i	0.242677	−	0.905682i
$906$	−0.338996	+	7.77784i	−0.0112624	+	0.258402i
$907$	3.99052	−	30.3110i	0.132503	−	1.00646i	−0.787986	−	0.615693i	$-0.788876\pi$
$907$	3.99052	−	30.3110i	0.132503	−	1.00646i	0.920489	−	0.390768i	$-0.127791\pi$
$908$	11.8967	+	37.7116i	0.394807	+	1.25150i
$909$	0.866349	−	2.09155i	0.0287350	−	0.0693724i
$910$	16.6051	−	24.8958i	0.550455	−	0.825288i
$911$			17.1206i			0.567232i	0.958938	+	0.283616i	$0.0915342\pi$
$911$			17.1206i			0.567232i	−0.958938	+	0.283616i	$0.908466\pi$
$912$	14.1314	−	1.24067i	0.467939	−	0.0410826i
$913$	35.6393	+	20.5764i	1.17949	+	0.680979i
$914$	−6.79043	−	18.6521i	−0.224607	−	0.616958i
$915$	−23.6559	+	3.11436i	−0.782041	+	0.102958i
$916$	4.68367	+	7.34943i	0.154753	+	0.242832i
$917$	6.85427	+	0.144424i	0.226348	+	0.00476930i
$918$	2.53301	+	4.86496i	0.0836017	+	0.160568i
$919$	7.50832	−	28.0214i	0.247677	−	0.924342i	−0.724342	−	0.689440i	$-0.757857\pi$
$919$	7.50832	−	28.0214i	0.247677	−	0.924342i	0.972019	−	0.234902i	$-0.0754768\pi$
$920$	−26.4118	+	34.4367i	−0.870771	+	1.13535i
$921$	−7.59921	−	28.3606i	−0.250402	−	0.934515i
$922$	−2.93947	−	13.2543i	−0.0968063	−	0.436508i
$923$	−0.507024	−	1.22407i	−0.0166889	−	0.0402906i
$924$	0.733996	+	32.3040i	0.0241467	+	1.06273i
$925$	−2.27681	−	0.943087i	−0.0748611	−	0.0310085i
$926$	3.36299	+	4.80207i	0.110515	+	0.157806i
$927$	−1.46978	+	2.54574i	−0.0482740	+	0.0836131i
$928$	39.3592	+	20.4701i	1.29203	+	0.671964i
$929$	−2.20643	−	3.82165i	−0.0723907	−	0.125384i	0.827558	−	0.561380i	$-0.189730\pi$
$929$	−2.20643	−	3.82165i	−0.0723907	−	0.125384i	−0.899949	+	0.435996i	$0.856396\pi$
$930$	31.7765	−	2.78252i	1.04199	−	0.0912424i
$931$	24.4544	+	4.27421i	0.801462	+	0.140082i
$932$	45.3428	+	31.7391i	1.48525	+	1.03965i
$933$	−12.6331	+	16.4638i	−0.413590	+	0.539001i
$934$	−10.6628	+	9.77217i	−0.348898	+	0.319755i
$935$	14.0734	+	52.5228i	0.460251	+	1.71768i
$936$	−3.76843	+	9.10366i	−0.123175	+	0.297563i
$937$	−31.0792	−	31.0792i	−1.01531	−	1.01531i	−0.999881	−	0.0154323i	$-0.995088\pi$
$937$	−31.0792	−	31.0792i	−1.01531	−	1.01531i	−0.0154323	−	0.999881i	$-0.504912\pi$
$938$	11.0667	+	5.44614i	0.361340	+	0.177823i
$939$	5.25637	−	2.17726i	0.171535	−	0.0710522i
$940$	16.5780	+	8.62676i	0.540715	+	0.281374i
$941$	−6.38482	−	8.32086i	−0.208139	−	0.271252i	0.677605	−	0.735426i	$-0.263018\pi$
$941$	−6.38482	−	8.32086i	−0.208139	−	0.271252i	−0.885744	+	0.464174i	$0.846351\pi$
$942$	3.61438	+	9.92809i	0.117763	+	0.323474i
$943$	28.9709	−	16.7264i	0.943423	−	0.544686i
$944$	−17.2656	−	18.8306i	−0.561946	−	0.612883i
$945$	2.44232	−	5.56189i	0.0794487	−	0.180928i
$946$	−13.5651	−	11.3807i	−0.441039	−	0.370019i
$947$	10.3858	−	1.36732i	0.337493	−	0.0444318i	0.0401248	−	0.999195i	$-0.487224\pi$
$947$	10.3858	−	1.36732i	0.337493	−	0.0444318i	0.297368	+	0.954763i	$0.403891\pi$
$948$	10.4638	+	9.58534i	0.339847	+	0.311317i
$949$	1.48758	−	11.2993i	0.0482890	−	0.366792i
$950$	−1.14793	−	0.731190i	−0.0372438	−	0.0237229i
$951$	−8.27847	−	8.27847i	−0.268448	−	0.268448i
$952$	−26.5767	−	11.6631i	−0.861357	−	0.378002i
$953$	−34.1799	+	34.1799i	−1.10720	+	1.10720i	−0.113679	+	0.993518i	$0.536264\pi$
$953$	−34.1799	+	34.1799i	−1.10720	+	1.10720i	−0.993518	+	0.113679i	$0.963736\pi$
$954$	−0.898601	+	0.199287i	−0.0290933	+	0.00645215i
$955$	−38.0103	−	5.00415i	−1.22998	−	0.161930i
$956$	−30.9055	−	11.2434i	−0.999556	−	0.363637i
$957$	6.25092	+	47.4804i	0.202064	+	1.53482i
$958$	2.41145	+	27.5389i	0.0779105	+	0.889743i
$959$	0.494675	+	4.48580i	0.0159739	+	0.144854i
$960$	9.19103	+	15.9026i	0.296639	+	0.513254i
$961$	−32.7556	−	56.7343i	−1.05663	−	1.83014i
$962$	−40.5486	−	18.9044i	−1.30734	−	0.609502i
$963$	8.22100	−	6.30819i	0.264918	−	0.203279i
$964$	−21.1666	+	17.7664i	−0.681732	+	0.572217i
$965$	−10.1223	−	24.4373i	−0.325847	−	0.786665i
$966$	16.4718	−	18.8138i	0.529972	−	0.605324i
$967$	−27.3622	+	27.3622i	−0.879909	+	0.879909i	−0.993525	−	0.113616i	$-0.963757\pi$
$967$	−27.3622	+	27.3622i	−0.879909	+	0.879909i	0.113616	+	0.993525i	$0.463757\pi$
$968$	−0.0169436	−	74.3564i	−0.000544588	−	2.38990i
$969$	−13.2859	+	3.55994i	−0.426804	+	0.114362i
$970$	1.71909	−	39.4424i	0.0551966	−	1.26642i
$971$	−20.9133	−	16.0474i	−0.671141	−	0.514985i	0.216053	−	0.976382i	$-0.430682\pi$
$971$	−20.9133	−	16.0474i	−0.671141	−	0.514985i	−0.887194	+	0.461397i	$0.847348\pi$
$972$	−0.432583	+	1.95266i	−0.0138751	+	0.0626315i
$973$	−7.22728	−	29.4399i	−0.231696	−	0.943800i
$974$	19.6770	+	16.5084i	0.630490	+	0.528962i
$975$	0.818658	−	0.472652i	0.0262180	−	0.0151370i
$976$	−22.3244	+	35.0658i	−0.714586	+	1.12243i
$977$	17.2891	+	9.98184i	0.553126	+	0.319347i	0.750382	−	0.661005i	$-0.229870\pi$
$977$	17.2891	+	9.98184i	0.553126	+	0.319347i	−0.197256	+	0.980352i	$0.563203\pi$
$978$	−13.6840	−	2.41179i	−0.437567	−	0.0771207i
$979$	8.11275	−	19.5859i	0.259285	−	0.625968i
$980$	8.37050	+	31.0342i	0.267386	+	0.991352i
$981$	13.8191	−	5.72405i	0.441210	−	0.182755i
$982$	−2.61736	+	4.10912i	−0.0835233	+	0.131127i
$983$	−34.8824	+	9.34671i	−1.11258	+	0.298114i	−0.767875	−	0.640599i	$-0.778686\pi$
$983$	−34.8824	+	9.34671i	−1.11258	+	0.298114i	−0.344700	+	0.938713i	$0.612019\pi$
$984$	−1.85120	−	14.0365i	−0.0590140	−	0.447468i
$985$	−36.7813	−	9.85553i	−1.17195	−	0.314023i
$986$	−41.0255	−	12.9319i	−1.30652	−	0.411834i
$987$	−9.20969	−	5.57914i	−0.293148	−	0.177586i
$988$	−20.2418	−	14.1689i	−0.643978	−	0.450772i
$989$	1.78857	+	13.5856i	0.0568733	+	0.431996i
$990$	−8.37807	+	17.9704i	−0.266273	+	0.571137i
$991$	−19.4423	+	33.6750i	−0.617605	+	1.06972i	0.372317	+	0.928106i	$0.378564\pi$
$991$	−19.4423	+	33.6750i	−0.617605	+	1.06972i	−0.989922	+	0.141617i	$0.954770\pi$
$992$	31.8581	−	45.5348i	1.01149	−	1.44573i
$993$	−28.6417			−0.908917
$994$	1.34796	+	0.456332i	0.0427548	+	0.0144740i
$995$	−20.2538	−	8.38940i	−0.642089	−	0.265962i
$996$	−13.4273	−	1.17268i	−0.425461	−	0.0371579i
$997$	−0.304233	−	0.0400531i	−0.00963517	−	0.00126849i	0.125707	−	0.992067i	$-0.459880\pi$
$997$	−0.304233	−	0.0400531i	−0.00963517	−	0.00126849i	−0.135342	+	0.990799i	$0.543213\pi$
$998$	30.9152	−	28.3328i	0.978602	−	0.896861i
$999$	−8.77201	−	2.35045i	−0.277534	−	0.0743650i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	672.2.cj.a.445.14	yes	512
7.2	even	3	inner	672.2.cj.a.541.56	yes	512
32.21	even	8	inner	672.2.cj.a.277.56	✓	512
224.149	even	24	inner	672.2.cj.a.373.14	yes	512

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
672.2.cj.a.277.56	✓	512	32.21	even	8	inner
672.2.cj.a.373.14	yes	512	224.149	even	24	inner
672.2.cj.a.445.14	yes	512	1.1	even	1	trivial
672.2.cj.a.541.56	yes	512	7.2	even	3	inner

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:	\( N \)	\(=\)	\( 672 = 2^{5} \cdot 3 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	672.cj (of order \(24\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.15839 + 0.811248i) q^{2} +(0.793353 - 0.608761i) q^{3} +(0.683755 - 1.87949i) q^{4} +(1.39768 - 1.82150i) q^{5} +(-0.425160 + 1.34879i) q^{6} +(-0.400522 + 2.61526i) q^{7} +(0.732673 + 2.73188i) q^{8} +(0.258819 - 0.965926i) q^{9} +O(q^{10})\)	\(q+(-1.15839 + 0.811248i) q^{2} +(0.793353 - 0.608761i) q^{3} +(0.683755 - 1.87949i) q^{4} +(1.39768 - 1.82150i) q^{5} +(-0.425160 + 1.34879i) q^{6} +(-0.400522 + 2.61526i) q^{7} +(0.732673 + 2.73188i) q^{8} +(0.258819 - 0.965926i) q^{9} +(-0.141384 + 3.24388i) q^{10} +(-0.797054 + 6.05423i) q^{11} +(-0.601701 - 1.90734i) q^{12} +(-1.33307 + 3.21833i) q^{13} +(-1.65766 - 3.35442i) q^{14} -2.29595i q^{15} +(-3.06496 - 2.57022i) q^{16} +(3.35879 + 1.93920i) q^{17} +(0.483790 + 1.32889i) q^{18} +(-3.51611 + 0.462905i) q^{19} +(-2.46781 - 3.87239i) q^{20} +(1.27431 + 2.31865i) q^{21} +(-3.98817 - 7.65979i) q^{22} +(-1.72969 + 6.45530i) q^{23} +(2.24433 + 1.72133i) q^{24} +(-0.0702349 - 0.262120i) q^{25} +(-1.06663 - 4.80955i) q^{26} +(-0.382683 - 0.923880i) q^{27} +(4.64149 + 2.54097i) q^{28} +(7.24555 + 3.00121i) q^{29} +(1.86258 + 2.65961i) q^{30} +(4.91200 - 8.50784i) q^{31} +(5.63552 + 0.490887i) q^{32} +(3.05323 + 5.28836i) q^{33} +(-5.46397 + 0.478454i) q^{34} +(4.20388 + 4.38485i) q^{35} +(-1.63848 - 1.14690i) q^{36} +(5.52844 - 7.20480i) q^{37} +(3.69751 - 3.38866i) q^{38} +(0.901594 + 3.36480i) q^{39} +(6.00016 + 2.48375i) q^{40} +(-3.53952 - 3.53952i) q^{41} +(-3.35715 - 1.65212i) q^{42} +(1.89431 - 0.784650i) q^{43} +(10.8339 + 5.63766i) q^{44} +(-1.39768 - 1.82150i) q^{45} +(-3.23318 - 8.88100i) q^{46} +(-3.52458 + 2.03492i) q^{47} +(-3.99625 - 0.173263i) q^{48} +(-6.67916 - 2.09494i) q^{49} +(0.294004 + 0.246661i) q^{50} +(3.84522 - 0.506232i) q^{51} +(5.13732 + 4.70605i) q^{52} +(-0.0849524 + 0.645277i) q^{53} +(1.19279 + 0.759766i) q^{54} +(9.91372 + 9.91372i) q^{55} +(-7.43804 + 0.821952i) q^{56} +(-2.50772 + 2.50772i) q^{57} +(-10.8279 + 2.40136i) q^{58} +(6.33231 + 0.833664i) q^{59} +(-4.31521 - 1.56986i) q^{60} +(-1.35646 - 10.3034i) q^{61} +(1.21193 + 13.8403i) q^{62} +(2.42248 + 1.06375i) q^{63} +(-6.92638 + 4.00316i) q^{64} +(3.99895 + 6.92639i) q^{65} +(-7.82701 - 3.64907i) q^{66} +(-2.61525 + 2.00675i) q^{67} +(5.94129 - 4.98687i) q^{68} +(2.55748 + 6.17431i) q^{69} +(-8.42696 - 1.66900i) q^{70} +(-0.268942 + 0.268942i) q^{71} +(2.82843 - 0.000644514i) q^{72} +(-3.16019 + 0.846770i) q^{73} +(-0.559234 + 12.8309i) q^{74} +(-0.215290 - 0.165198i) q^{75} +(-1.53413 + 6.92500i) q^{76} +(-15.5141 - 4.50935i) q^{77} +(-3.77408 - 3.16634i) q^{78} +(-6.14465 + 3.54761i) q^{79} +(-8.96549 + 1.99046i) q^{80} +(-0.866025 - 0.500000i) q^{81} +(6.97158 + 1.22873i) q^{82} +(2.57898 - 6.22622i) q^{83} +(5.22919 - 0.809673i) q^{84} +(8.22677 - 3.40764i) q^{85} +(-1.55782 + 2.44569i) q^{86} +(7.57530 - 2.02980i) q^{87} +(-17.1234 + 2.25831i) q^{88} +(-3.35338 - 0.898534i) q^{89} +(3.09675 + 0.976144i) q^{90} +(-7.88284 - 4.77535i) q^{91} +(10.9500 + 7.66478i) q^{92} +(-1.28229 - 9.73996i) q^{93} +(2.43203 - 5.21655i) q^{94} +(-4.07123 + 7.05158i) q^{95} +(4.76979 - 3.04124i) q^{96} -12.1590 q^{97} +(9.43662 - 2.99169i) q^{98} +(5.64164 + 2.33684i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 512 q+O(q^{10}) \) 512 * q	\( 512 q - 64 q^{14} + 8 q^{16} + 8 q^{18} + 64 q^{20} + 16 q^{22} + 16 q^{23} - 40 q^{28} + 96 q^{31} + 48 q^{35} - 80 q^{38} + 64 q^{40} - 32 q^{43} - 8 q^{44} - 48 q^{50} + 24 q^{52} + 32 q^{53} - 32 q^{58} + 64 q^{59} - 48 q^{60} - 48 q^{64} + 48 q^{66} - 16 q^{67} + 72 q^{70} - 128 q^{71} - 144 q^{74} - 48 q^{78} + 24 q^{80} + 40 q^{82} - 88 q^{88} + 48 q^{91} + 128 q^{92} - 24 q^{94} - 40 q^{96} - 88 q^{98}+O(q^{100}) \) 512 * q - 64 * q^14 + 8 * q^16 + 8 * q^18 + 64 * q^20 + 16 * q^22 + 16 * q^23 - 40 * q^28 + 96 * q^31 + 48 * q^35 - 80 * q^38 + 64 * q^40 - 32 * q^43 - 8 * q^44 - 48 * q^50 + 24 * q^52 + 32 * q^53 - 32 * q^58 + 64 * q^59 - 48 * q^60 - 48 * q^64 + 48 * q^66 - 16 * q^67 + 72 * q^70 - 128 * q^71 - 144 * q^74 - 48 * q^78 + 24 * q^80 + 40 * q^82 - 88 * q^88 + 48 * q^91 + 128 * q^92 - 24 * q^94 - 40 * q^96 - 88 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more