LMFDB - Embedded newform 684.2.ch.a.479.37

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [684,2,Mod(47,684)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("684.47"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(684, base_ring=CyclotomicField(18)) chi = DirichletCharacter(H, H._module([9, 3, 8])) N = Newforms(chi, 2, names="a")

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

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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			479.37
Character	$\chi$	$=$	684.479
Dual form			684.2.ch.a.347.37

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.815948 - 1.15509i) q^{2} +(0.244999 + 1.71464i) q^{3} +(-0.668459 + 1.88498i) q^{4} +(-0.533006 + 1.46442i) q^{5} +(1.78065 - 1.68205i) q^{6} +(-0.799992 + 0.461876i) q^{7} +(2.72275 - 0.765918i) q^{8} +(-2.87995 + 0.840168i) q^{9} +(2.12644 - 0.579223i) q^{10} -2.77833 q^{11} +(-3.39583 - 0.684345i) q^{12} +(-6.22852 + 2.26699i) q^{13} +(1.18626 + 0.547195i) q^{14} +(-2.64154 - 0.555130i) q^{15} +(-3.10633 - 2.52007i) q^{16} +(0.788778 - 2.16715i) q^{17} +(3.32036 + 2.64107i) q^{18} +(3.66424 - 2.36079i) q^{19} +(-2.40412 - 1.98361i) q^{20} +(-0.987945 - 1.25854i) q^{21} +(2.26697 + 3.20921i) q^{22} +(1.60016 - 9.07498i) q^{23} +(1.98034 + 4.48088i) q^{24} +(1.96978 + 1.65285i) q^{25} +(7.70072 + 5.34474i) q^{26} +(-2.14617 - 4.73223i) q^{27} +(-0.335866 - 1.81672i) q^{28} +(4.74973 + 0.837506i) q^{29} +(1.51413 + 3.50417i) q^{30} -4.12136i q^{31} +(-0.376304 + 5.64432i) q^{32} +(-0.680687 - 4.76382i) q^{33} +(-3.14685 + 0.857172i) q^{34} +(-0.249980 - 1.41771i) q^{35} +(0.341427 - 5.99028i) q^{36} -5.89377 q^{37} +(-5.71675 - 2.30625i) q^{38} +(-5.41305 - 10.1242i) q^{39} +(-0.329615 + 4.39550i) q^{40} +(-0.338143 - 0.402983i) q^{41} +(-0.647608 + 2.16806i) q^{42} +(-5.89836 + 1.04004i) q^{43} +(1.85720 - 5.23710i) q^{44} +(0.304672 - 4.66528i) q^{45} +(-11.7881 + 5.55638i) q^{46} +(-0.556471 + 3.15590i) q^{47} +(3.55995 - 5.94363i) q^{48} +(-3.07334 + 5.32318i) q^{49} +(0.301942 - 3.62391i) q^{50} +(3.90912 + 0.821518i) q^{51} +(-0.109739 - 13.2560i) q^{52} +(3.83515 - 4.57056i) q^{53} +(-3.71498 + 6.34026i) q^{54} +(1.48086 - 4.06864i) q^{55} +(-1.82442 + 1.87030i) q^{56} +(4.94562 + 5.70445i) q^{57} +(-2.90814 - 6.16972i) q^{58} +(-0.457080 - 2.59223i) q^{59} +(2.81217 - 4.60817i) q^{60} +(-13.0799 + 4.76069i) q^{61} +(-4.76054 + 3.36282i) q^{62} +(1.91588 - 2.00231i) q^{63} +(6.82674 - 4.17081i) q^{64} -10.3295i q^{65} +(-4.94723 + 4.67328i) q^{66} +(-9.23065 + 11.0007i) q^{67} +(3.55777 + 2.93548i) q^{68} +(15.9523 + 0.520338i) q^{69} +(-1.43361 + 1.44553i) q^{70} +(-7.01828 + 5.88904i) q^{71} +(-7.19789 + 4.49337i) q^{72} +(1.56692 + 8.88643i) q^{73} +(4.80901 + 6.80783i) q^{74} +(-2.35143 + 3.78241i) q^{75} +(2.00065 + 8.48513i) q^{76} +(2.22264 - 1.28324i) q^{77} +(-7.27761 + 14.5134i) q^{78} +(3.61282 - 9.92613i) q^{79} +(5.34613 - 3.20576i) q^{80} +(7.58824 - 4.83928i) q^{81} +(-0.189574 + 0.719399i) q^{82} +(-2.47995 - 4.29539i) q^{83} +(3.03272 - 1.02098i) q^{84} +(2.75320 + 2.31021i) q^{85} +(6.01409 + 5.96451i) q^{86} +(-0.272339 + 8.34925i) q^{87} +(-7.56469 + 2.12797i) q^{88} +(-4.70122 - 0.828952i) q^{89} +(-5.63741 + 3.45470i) q^{90} +(3.93569 - 4.69038i) q^{91} +(16.0365 + 9.08254i) q^{92} +(7.06664 - 1.00973i) q^{93} +(4.09940 - 1.93228i) q^{94} +(1.50412 + 6.62432i) q^{95} +(-9.77015 + 0.737629i) q^{96} +(3.80678 - 3.19427i) q^{97} +(8.65644 - 0.793458i) q^{98} +(8.00144 - 2.33426i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 696 q - 9 q^{2} - 3 q^{4} - 18 q^{5} - 6 q^{6} - 12 q^{10} - 3 q^{12} - 6 q^{13} - 9 q^{14} - 3 q^{16} - 12 q^{18} - 18 q^{20} - 30 q^{21} - 27 q^{22} - 18 q^{24} - 6 q^{25} - 72 q^{26} - 18 q^{29} + 63 q^{30}+ \cdots - 45 q^{98}+O(q^{100}) $ 696 * q - 9 * q^2 - 3 * q^4 - 18 * q^5 - 6 * q^6 - 12 * q^10 - 3 * q^12 - 6 * q^13 - 9 * q^14 - 3 * q^16 - 12 * q^18 - 18 * q^20 - 30 * q^21 - 27 * q^22 - 18 * q^24 - 6 * q^25 - 72 * q^26 - 18 * q^29 + 63 * q^30 - 9 * q^32 - 60 * q^33 - 39 * q^34 - 66 * q^36 - 48 * q^37 - 9 * q^38 - 33 * q^40 - 18 * q^41 - 27 * q^42 - 135 * q^44 - 6 * q^45 - 6 * q^46 - 18 * q^48 + 282 * q^49 - 3 * q^52 + 15 * 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^66 - 9 * q^68 - 6 * q^69 - 45 * q^70 + 12 * q^72 + 12 * q^73 + 99 * q^74 - 3 * q^76 - 36 * q^77 + 69 * q^78 - 72 * q^81 - 12 * q^82 - 45 * q^84 - 6 * q^85 - 171 * q^86 - 45 * q^88 + 27 * q^90 - 9 * q^92 + 24 * q^93 - 6 * q^94 - 87 * q^96 - 42 * q^97 - 45 * q^98

Character values

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

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

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 $

$2$	−0.815948	−	1.15509i	−0.576962	−	0.816771i
$2$	−0.815948	−	1.15509i	−0.576962	−	0.816771i
$3$	0.244999	+	1.71464i	0.141450	+	0.989945i
$3$	0.244999	+	1.71464i	0.141450	+	0.989945i
$4$	−0.668459	+	1.88498i	−0.334230	+	0.942492i
$5$	−0.533006	+	1.46442i	−0.238368	+	0.654910i	0.761609	+	0.648037i	$0.224410\pi$
$5$	−0.533006	+	1.46442i	−0.238368	+	0.654910i	−0.999976	+	0.00687252i	$0.997812\pi$
$6$	1.78065	−	1.68205i	0.726947	−	0.686693i
$7$	−0.799992	+	0.461876i	−0.302368	+	0.174573i	−0.643506	−	0.765441i	$-0.722521\pi$
$7$	−0.799992	+	0.461876i	−0.302368	+	0.174573i	0.341138	+	0.940013i	$0.389188\pi$
$8$	2.72275	−	0.765918i	0.962638	−	0.270793i
$9$	−2.87995	+	0.840168i	−0.959984	+	0.280056i
$10$	2.12644	−	0.579223i	0.672440	−	0.183166i
$11$	−2.77833			−0.837697			−0.418848	−	0.908056i	$-0.637566\pi$
$11$	−2.77833			−0.837697			−0.418848	+	0.908056i	$0.637566\pi$
$12$	−3.39583	−	0.684345i	−0.980292	−	0.197553i
$13$	−6.22852	+	2.26699i	−1.72748	+	0.628751i	−0.998446	−	0.0557271i	$-0.982252\pi$
$13$	−6.22852	+	2.26699i	−1.72748	+	0.628751i	−0.729033	+	0.684478i	$0.760030\pi$
$14$	1.18626	+	0.547195i	0.317041	+	0.146244i
$15$	−2.64154	−	0.555130i	−0.682042	−	0.143334i
$16$	−3.10633	−	2.52007i	−0.776581	−	0.630017i
$17$	0.788778	−	2.16715i	0.191307	−	0.525611i	−0.806541	−	0.591178i	$-0.798663\pi$
$17$	0.788778	−	2.16715i	0.191307	−	0.525611i	0.997848	+	0.0655666i	$0.0208855\pi$
$18$	3.32036	+	2.64107i	0.782616	+	0.622505i
$19$	3.66424	−	2.36079i	0.840635	−	0.541602i
$19$	3.66424	−	2.36079i	0.840635	−	0.541602i
$20$	−2.40412	−	1.98361i	−0.537577	−	0.443550i
$21$	−0.987945	−	1.25854i	−0.215587	−	0.274635i
$22$	2.26697	+	3.20921i	0.483319	+	0.684206i
$23$	1.60016	−	9.07498i	0.333657	−	1.89226i	−0.106448	−	0.994318i	$-0.533948\pi$
$23$	1.60016	−	9.07498i	0.333657	−	1.89226i	0.440105	−	0.897946i	$-0.354941\pi$
$24$	1.98034	+	4.48088i	0.404236	+	0.914655i
$25$	1.96978	+	1.65285i	0.393957	+	0.330569i
$26$	7.70072	+	5.34474i	1.51024	+	1.04819i
$27$	−2.14617	−	4.73223i	−0.413030	−	0.910717i
$28$	−0.335866	−	1.81672i	−0.0634727	−	0.343327i
$29$	4.74973	+	0.837506i	0.882003	+	0.155521i	0.596266	−	0.802787i	$-0.296650\pi$
$29$	4.74973	+	0.837506i	0.882003	+	0.155521i	0.285737	+	0.958308i	$0.407762\pi$
$30$	1.51413	+	3.50417i	0.276441	+	0.639770i
$31$		−	4.12136i		−	0.740219i	−0.928988	−	0.370109i	$-0.879320\pi$
$31$		−	4.12136i		−	0.740219i	0.928988	−	0.370109i	$-0.120680\pi$
$32$	−0.376304	+	5.64432i	−0.0665217	+	0.997785i
$33$	−0.680687	−	4.76382i	−0.118492	−	0.829274i
$34$	−3.14685	+	0.857172i	−0.539680	+	0.147004i
$35$	−0.249980	−	1.41771i	−0.0422544	−	0.239636i
$36$	0.341427	−	5.99028i	0.0569046	−	0.998380i
$37$	−5.89377			−0.968930			−0.484465	−	0.874811i	$-0.660986\pi$
$37$	−5.89377			−0.968930			−0.484465	+	0.874811i	$0.660986\pi$
$38$	−5.71675	−	2.30625i	−0.927379	−	0.374123i
$39$	−5.41305	−	10.1242i	−0.866781	−	1.62117i
$40$	−0.329615	+	4.39550i	−0.0521167	+	0.694989i
$41$	−0.338143	−	0.402983i	−0.0528091	−	0.0629354i	0.738993	−	0.673713i	$-0.235301\pi$
$41$	−0.338143	−	0.402983i	−0.0528091	−	0.0629354i	−0.791802	+	0.610777i	$0.790857\pi$
$42$	−0.647608	+	2.16806i	−0.0999282	+	0.334539i
$43$	−5.89836	+	1.04004i	−0.899492	+	0.158605i	−0.604228	−	0.796811i	$-0.706519\pi$
$43$	−5.89836	+	1.04004i	−0.899492	+	0.158605i	−0.295264	+	0.955416i	$0.595407\pi$
$44$	1.85720	−	5.23710i	0.279983	−	0.789522i
$45$	0.304672	−	4.66528i	0.0454178	−	0.695459i
$46$	−11.7881	+	5.55638i	−1.73805	+	0.819243i
$47$	−0.556471	+	3.15590i	−0.0811696	+	0.460336i	0.916948	+	0.399007i	$0.130645\pi$
$47$	−0.556471	+	3.15590i	−0.0811696	+	0.460336i	−0.998118	+	0.0613290i	$0.980466\pi$
$48$	3.55995	−	5.94363i	0.513835	−	0.857889i
$49$	−3.07334	+	5.32318i	−0.439049	+	0.760455i
$50$	0.301942	−	3.62391i	0.0427010	−	0.512498i
$51$	3.90912	+	0.821518i	0.547386	+	0.115035i
$52$	−0.109739	−	13.2560i	−0.0152181	−	1.83828i
$53$	3.83515	−	4.57056i	0.526799	−	0.627814i	−0.435375	−	0.900249i	$-0.643384\pi$
$53$	3.83515	−	4.57056i	0.526799	−	0.627814i	0.962174	+	0.272435i	$0.0878288\pi$
$54$	−3.71498	+	6.34026i	−0.505545	+	0.862800i
$55$	1.48086	−	4.06864i	0.199680	−	0.548616i
$56$	−1.82442	+	1.87030i	−0.243798	+	0.249929i
$57$	4.94562	+	5.70445i	0.655064	+	0.755573i
$58$	−2.90814	−	6.16972i	−0.381857	−	0.810124i
$59$	−0.457080	−	2.59223i	−0.0595067	−	0.337479i	0.940491	−	0.339820i	$-0.110366\pi$
$59$	−0.457080	−	2.59223i	−0.0595067	−	0.337479i	−0.999997	+	0.00234056i	$0.999255\pi$
$60$	2.81217	−	4.60817i	0.363049	−	0.594912i
$61$	−13.0799	+	4.76069i	−1.67471	+	0.609543i	−0.992569	−	0.121681i	$-0.961172\pi$
$61$	−13.0799	+	4.76069i	−1.67471	+	0.609543i	−0.682137	+	0.731224i	$0.738949\pi$
$62$	−4.76054	+	3.36282i	−0.604589	+	0.427078i
$63$	1.91588	−	2.00231i	0.241379	−	0.252267i
$64$	6.82674	−	4.17081i	0.853342	−	0.521351i
$65$		−	10.3295i		−	1.28122i
$66$	−4.94723	+	4.67328i	−0.608961	+	0.575241i
$67$	−9.23065	+	11.0007i	−1.12770	+	1.34394i	−0.196051	+	0.980594i	$0.562812\pi$
$67$	−9.23065	+	11.0007i	−1.12770	+	1.34394i	−0.931653	+	0.363350i	$0.881633\pi$
$68$	3.55777	+	2.93548i	0.431444	+	0.355980i
$69$	15.9523	+	0.520338i	1.92043	+	0.0626414i
$70$	−1.43361	+	1.44553i	−0.171349	+	0.172773i
$71$	−7.01828	+	5.88904i	−0.832917	+	0.698900i	−0.955959	−	0.293502i	$-0.905179\pi$
$71$	−7.01828	+	5.88904i	−0.832917	+	0.698900i	0.123042	+	0.992401i	$0.460735\pi$
$72$	−7.19789	+	4.49337i	−0.848279	+	0.529549i
$73$	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	$0.767364\pi$
$74$	4.80901	+	6.80783i	0.559036	+	0.791394i
$75$	−2.35143	+	3.78241i	−0.271520	+	0.436755i
$76$	2.00065	+	8.48513i	0.229490	+	0.973311i
$77$	2.22264	−	1.28324i	0.253293	−	0.146239i
$78$	−7.27761	+	14.5134i	−0.824027	+	1.64332i
$79$	3.61282	−	9.92613i	0.406474	−	1.11678i	−0.552557	−	0.833475i	$-0.686348\pi$
$79$	3.61282	−	9.92613i	0.406474	−	1.11678i	0.959031	−	0.283302i	$-0.0914299\pi$
$80$	5.34613	−	3.20576i	0.597716	−	0.358415i
$81$	7.58824	−	4.83928i	0.843137	−	0.537698i
$82$	−0.189574	+	0.719399i	−0.0209350	+	0.0794443i
$83$	−2.47995	−	4.29539i	−0.272209	−	0.471480i	0.697218	−	0.716859i	$-0.254421\pi$
$83$	−2.47995	−	4.29539i	−0.272209	−	0.471480i	−0.969427	+	0.245379i	$0.921088\pi$
$84$	3.03272	−	1.02098i	0.330897	−	0.111398i
$85$	2.75320	+	2.31021i	0.298626	+	0.250577i
$86$	6.01409	+	5.96451i	0.648516	+	0.643170i
$87$	−0.272339	+	8.34925i	−0.0291978	+	0.895133i
$88$	−7.56469	+	2.12797i	−0.806398	+	0.226842i
$89$	−4.70122	−	0.828952i	−0.498328	−	0.0878687i	−0.0811656	−	0.996701i	$-0.525864\pi$
$89$	−4.70122	−	0.828952i	−0.498328	−	0.0878687i	−0.417162	+	0.908832i	$0.636975\pi$
$90$	−5.63741	+	3.45470i	−0.594235	+	0.364157i
$91$	3.93569	−	4.69038i	0.412573	−	0.491685i
$92$	16.0365	+	9.08254i	1.67193	+	0.946920i
$93$	7.06664	−	1.00973i	0.732776	−	0.104704i
$94$	4.09940	−	1.93228i	0.422821	−	0.199299i
$95$	1.50412	+	6.62432i	0.154320	+	0.679640i
$96$	−9.77015	+	0.737629i	−0.997162	+	0.0752840i
$97$	3.80678	−	3.19427i	0.386520	−	0.324329i	−0.428736	−	0.903430i	$-0.641041\pi$
$97$	3.80678	−	3.19427i	0.386520	−	0.324329i	0.815256	+	0.579101i	$0.196596\pi$
$98$	8.65644	−	0.793458i	0.874432	−	0.0801513i
$99$	8.00144	−	2.33426i	0.804175	−	0.234602i
$100$	−4.43231	+	2.60815i	−0.443231	+	0.260815i
$101$	−11.8575	+	14.1312i	−1.17986	+	1.40610i	−0.285725	+	0.958312i	$0.592234\pi$
$101$	−11.8575	+	14.1312i	−1.17986	+	1.40610i	−0.894137	+	0.447793i	$0.852210\pi$
$102$	−2.24071	−	5.18570i	−0.221864	−	0.513460i
$103$	−5.18549	−	2.99385i	−0.510942	−	0.294992i	0.222279	−	0.974983i	$-0.428650\pi$
$103$	−5.18549	−	2.99385i	−0.510942	−	0.294992i	−0.733221	+	0.679991i	$0.761984\pi$
$104$	−15.2224	+	10.9430i	−1.49268	+	1.07305i
$105$	2.36961	−	0.775962i	0.231250	−	0.0757261i
$106$	−8.40868	−	0.700606i	−0.816724	−	0.0680489i
$107$	1.86630	−	3.23252i	0.180422	−	0.312499i	−0.761603	−	0.648044i	$-0.775587\pi$
$107$	1.86630	−	3.23252i	0.180422	−	0.312499i	0.942024	+	0.335545i	$0.108920\pi$
$108$	10.3548	−	0.882188i	0.996390	−	0.0848885i
$109$	−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	$0.423010\pi$
$110$	−5.90795	+	1.60927i	−0.563301	+	0.153438i
$111$	−1.44397	−	10.1057i	−0.137055	−	0.959188i
$112$	3.64899	+	0.581299i	0.344797	+	0.0549276i
$113$	3.09693	−	1.78802i	0.291335	−	0.168202i	−0.347209	−	0.937788i	$-0.612870\pi$
$113$	3.09693	−	1.78802i	0.291335	−	0.168202i	0.638544	+	0.769586i	$0.279537\pi$
$114$	2.55378	−	10.3672i	0.239183	−	0.970974i
$115$	12.4367	+	7.18034i	1.15973	+	0.669570i
$116$	−4.75368	+	8.39333i	−0.441369	+	0.779301i
$117$	16.0332	−	11.7618i	1.48227	−	1.08738i
$118$	−2.62130	+	2.64309i	−0.241310	+	0.243316i
$119$	0.369937	+	2.09802i	0.0339121	+	0.192325i
$120$	−7.61743	+	0.511722i	−0.695373	+	0.0467136i
$121$	−3.28091			−0.298264
$122$	16.1715	+	11.2239i	1.46410	+	1.01617i
$123$	0.608125	−	0.678523i	0.0548328	−	0.0611804i
$124$	7.76870	+	2.75496i	0.697650	+	0.247403i
$125$	−10.2185	+	5.89963i	−0.913967	+	0.527679i
$126$	−3.87610	−	0.579239i	−0.345311	−	0.0516028i
$127$	−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	$0.825939\pi$
$128$	−10.3879	−	4.48233i	−0.918171	−	0.396185i
$129$	−3.22838	−	9.85874i	−0.284243	−	0.868013i
$130$	−11.9315	+	8.42833i	−1.04646	+	0.739213i
$131$	−2.93980	−	16.6724i	−0.256851	−	1.45668i	−0.791276	−	0.611459i	$-0.790583\pi$
$131$	−2.93980	−	16.6724i	−0.256851	−	1.45668i	0.534425	−	0.845216i	$-0.320528\pi$
$132$	9.43473	+	1.90133i	0.821187	+	0.165490i
$133$	−1.84098	+	3.58103i	−0.159633	+	0.310515i
$134$	20.2385	+	1.68626i	1.74834	+	0.145670i
$135$	8.07390	−	0.620587i	0.694891	−	0.0534117i
$136$	0.487786	−	6.50475i	0.0418273	−	0.557777i
$137$	2.53779	+	6.97252i	0.216818	+	0.595703i	0.999648	−	0.0265331i	$-0.00844674\pi$
$137$	2.53779	+	6.97252i	0.216818	+	0.595703i	−0.782830	+	0.622236i	$0.786225\pi$
$138$	−12.4152	−	18.8509i	−1.05685	−	1.60470i
$139$	4.87862	+	13.4039i	0.413799	+	1.13690i	0.955154	+	0.296110i	$0.0956894\pi$
$139$	4.87862	+	13.4039i	0.413799	+	1.13690i	−0.541355	+	0.840794i	$0.682088\pi$
$140$	2.83946	+	0.476471i	0.239978	+	0.0402692i
$141$	−5.54756	−	0.180952i	−0.467189	−	0.0152389i
$142$	12.5289	+	3.30159i	1.05140	+	0.277063i
$143$	17.3048	−	6.29845i	1.44710	−	0.526703i
$144$	11.0633	+	4.64784i	0.921945	+	0.387320i
$145$	−3.75810	+	6.50922i	−0.312093	+	0.540561i
$146$	8.98609	−	9.06079i	0.743694	−	0.749876i
$147$	−9.88029	−	3.96549i	−0.814912	−	0.327068i
$148$	3.93975	−	11.1097i	0.323845	−	0.913209i
$149$	−4.55498	−	5.42842i	−0.373159	−	0.444713i	0.546484	−	0.837470i	$-0.315966\pi$
$149$	−4.55498	−	5.42842i	−0.373159	−	0.444713i	−0.919643	+	0.392756i	$0.871522\pi$
$150$	6.28766	−	0.370134i	0.513386	−	0.0302213i
$151$	12.5306	+	7.23454i	1.01973	+	0.588739i	0.914024	−	0.405659i	$-0.132958\pi$
$151$	12.5306	+	7.23454i	1.01973	+	0.588739i	0.105701	+	0.994398i	$0.466291\pi$
$152$	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
$155$	6.03542	+	2.19671i	0.484776	+	0.176444i
$156$	22.7024	−	3.43588i	1.81765	−	0.275090i
$157$	−8.90515	−	3.24121i	−0.710708	−	0.258677i	−0.0387324	−	0.999250i	$-0.512332\pi$
$157$	−8.90515	−	3.24121i	−0.710708	−	0.258677i	−0.671976	+	0.740573i	$0.734554\pi$
$158$	−14.4134	+	3.92608i	−1.14667	+	0.312342i
$159$	8.77645	+	5.45611i	0.696018	+	0.432698i
$160$	−8.06510	−	3.55953i	−0.637602	−	0.281405i
$161$	2.91139	+	7.99899i	0.229450	+	0.630409i
$162$	−11.7814	−	4.81648i	−0.925635	−	0.378419i
$163$	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	$0.283347\pi$
$164$	0.985652	−	0.368017i	0.0769665	−	0.0287373i
$165$	7.33905	+	1.54233i	0.571344	+	0.120070i
$166$	−2.93805	+	6.36937i	−0.228037	+	0.494359i
$167$	−2.03960	+	11.5671i	−0.157829	+	0.895091i	0.798325	+	0.602227i	$0.205720\pi$
$167$	−2.03960	+	11.5671i	−0.157829	+	0.895091i	−0.956154	+	0.292865i	$0.905391\pi$
$168$	−3.65386	−	2.66999i	−0.281902	−	0.205994i
$169$	23.6966	−	19.8838i	1.82281	−	1.52952i
$170$	0.422029	−	5.06520i	0.0323681	−	0.388483i
$171$	−8.56939	+	9.87753i	−0.655318	+	0.755354i
$172$	1.98235	−	11.8135i	0.151153	−	0.900774i
$173$	−1.08615	−	1.29442i	−0.0825783	−	0.0984130i	0.723173	−	0.690667i	$-0.242683\pi$
$173$	−1.08615	−	1.29442i	−0.0825783	−	0.0984130i	−0.805752	+	0.592254i	$0.798238\pi$
$174$	9.86633	−	6.49797i	0.747965	−	0.492610i
$175$	−2.33922	−	0.412468i	−0.176828	−	0.0311796i
$176$	8.63038	+	7.00157i	0.650540	+	0.527763i
$177$	4.33274	−	1.41882i	0.325669	−	0.106645i
$178$	2.87844	+	6.10670i	0.215748	+	0.457717i
$179$	9.24340	+	16.0100i	0.690884	+	1.19665i	0.971549	+	0.236840i	$0.0761117\pi$
$179$	9.24340	+	16.0100i	0.690884	+	1.19665i	−0.280665	+	0.959806i	$0.590555\pi$
$180$	8.59031	+	3.69285i	0.640284	+	0.275249i
$181$	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	$0.362470\pi$
$182$	−8.62912	−	0.718972i	−0.639633	−	0.0532938i
$183$	−11.3674	−	21.2609i	−0.840302	−	1.57165i
$184$	−2.59385	−	25.9345i	−0.191221	−	1.91192i
$185$	3.14142	−	8.63097i	0.230962	−	0.634562i
$186$	−6.93233	−	7.33870i	−0.508303	−	0.538100i
$187$	−2.19148	+	6.02105i	−0.160257	+	0.440303i
$188$	−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	$-0.875718\pi$
$191$	−1.83482	+	3.17800i	−0.132763	+	0.229952i	0.791978	+	0.610550i	$0.209052\pi$
$192$	8.82396	+	10.6835i	0.636815	+	0.771017i
$193$	5.72324	−	4.80237i	0.411968	−	0.345682i	−0.413130	−	0.910672i	$-0.635564\pi$
$193$	5.72324	−	4.80237i	0.411968	−	0.345682i	0.825098	+	0.564990i	$0.191120\pi$
$194$	−6.79579	−	1.79081i	−0.487910	−	0.128573i
$195$	17.7113	−	2.53072i	1.26833	−	0.181228i
$196$	−7.97971	−	9.35153i	−0.569979	−	0.667966i
$197$	−8.74347	−	5.04805i	−0.622947	−	0.359658i	0.155069	−	0.987904i	$-0.450440\pi$
$197$	−8.74347	−	5.04805i	−0.622947	−	0.359658i	−0.778015	+	0.628245i	$0.783773\pi$
$198$	−9.22503	−	7.33774i	−0.655595	−	0.521471i
$199$	−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	$0.967620\pi$
$200$	6.62918	+	2.99159i	0.468754	+	0.211537i
$201$	−21.1236	−	13.1320i	−1.48995	−	0.926263i
$202$	25.9978	+	2.16612i	1.82920	+	0.152408i
$203$	−4.18657	+	1.52379i	−0.293840	+	0.106949i
$204$	−4.16163	+	6.81948i	−0.291373	+	0.477459i
$205$	0.770371	−	0.280392i	0.0538050	−	0.0195834i
$206$	0.772934	+	8.43253i	0.0538529	+	0.587522i
$207$	3.01611	+	27.4799i	0.209634	+	1.90999i
$208$	25.0608	+	8.65426i	1.73765	+	0.600065i
$209$	−10.1805	+	6.55903i	−0.704197	+	0.453698i
$210$	−2.82978	−	2.10396i	−0.195273	−	0.145187i
$211$	19.9589	−	3.51930i	1.37403	−	0.242278i	0.562600	−	0.826730i	$-0.309801\pi$
$211$	19.9589	−	3.51930i	1.37403	−	0.242278i	0.811429	+	0.584451i	$0.198690\pi$
$212$	6.05178	+	10.2844i	0.415638	+	0.706338i
$213$	−11.8170	−	10.5910i	−0.809689	−	0.725682i
$214$	−5.25664	+	0.481829i	−0.359337	+	0.0329372i
$215$	1.62081	−	9.19204i	0.110538	−	0.626892i
$216$	−9.46797	−	11.2409i	−0.644214	−	0.764845i
$217$	1.90356	+	3.29706i	0.129222	+	0.223819i
$218$	12.5811	+	3.31533i	0.852097	+	0.224543i
$219$	−14.8531	+	4.86386i	−1.00368	+	0.328669i
$220$	6.67943	+	5.51113i	0.450327	+	0.371560i
$221$			15.2863i			1.02827i
$222$	−10.4947	+	9.91361i	−0.704361	+	0.665358i
$223$	22.9160	−	4.04071i	1.53457	−	0.270586i	0.658428	−	0.752643i	$-0.271222\pi$
$223$	22.9160	−	4.04071i	1.53457	−	0.270586i	0.876139	+	0.482058i	$0.160110\pi$
$224$	−2.30594	−	4.68922i	−0.154072	−	0.313312i
$225$	−7.06155	−	3.10517i	−0.470770	−	0.207011i
$226$	−4.59225	−	2.11831i	−0.305472	−	0.140908i
$227$	−3.46465	+	6.00095i	−0.229957	+	0.398297i	−0.957795	−	0.287452i	$-0.907192\pi$
$227$	−3.46465	+	6.00095i	−0.229957	+	0.398297i	0.727838	+	0.685749i	$0.240525\pi$
$228$	−14.0587	+	5.50923i	−0.931063	+	0.364857i
$229$	1.22633	+	2.12406i	0.0810380	+	0.140362i	0.903696	−	0.428175i	$-0.140843\pi$
$229$	1.22633	+	2.12406i	0.0810380	+	0.140362i	−0.822658	+	0.568537i	$0.807510\pi$
$230$	−1.85378	−	20.2243i	−0.122234	−	1.33355i
$231$	2.74483	+	3.49662i	0.180597	+	0.230061i
$232$	13.5738	−	1.35759i	0.891163	−	0.0891300i
$233$	−16.9594	−	20.2114i	−1.11105	−	1.32409i	−0.940903	−	0.338676i	$-0.890021\pi$
$233$	−16.9594	−	20.2114i	−1.11105	−	1.32409i	−0.170144	−	0.985419i	$-0.554423\pi$
$234$	−26.6682	−	8.92269i	−1.74335	−	0.583294i
$235$	−4.32497	−	2.49702i	−0.282130	−	0.162888i
$236$	5.19184	+	0.871210i	0.337960	+	0.0567110i
$237$	17.9048	+	3.76277i	1.16304	+	0.244418i
$238$	2.12155	−	2.13918i	0.137520	−	0.138663i
$239$	6.16312	−	10.6748i	0.398659	−	0.690498i	−0.594902	−	0.803798i	$-0.702809\pi$
$239$	6.16312	−	10.6748i	0.398659	−	0.690498i	0.993561	+	0.113301i	$0.0361424\pi$
$240$	6.80651	+	8.38127i	0.439358	+	0.541008i
$241$	11.6573	+	9.78167i	0.750916	+	0.630093i	0.935745	−	0.352678i	$-0.114729\pi$
$241$	11.6573	+	9.78167i	0.750916	+	0.630093i	−0.184829	+	0.982771i	$0.559173\pi$
$242$	2.67705	+	3.78974i	0.172087	+	0.243614i
$243$	10.1567	+	11.8254i	0.651554	+	0.758603i
$244$	−0.230452	−	27.8377i	−0.0147532	−	1.78212i
$245$	−6.15728	−	7.33796i	−0.393374	−	0.468805i
$246$	−1.27995	−	0.148799i	−0.0816068	−	0.00948709i
$247$	−17.4709	+	23.0110i	−1.11165	+	1.46416i
$248$	−3.15663	−	11.2214i	−0.200446	−	0.712562i
$249$	6.75745	−	5.30457i	0.428236	−	0.336163i
$250$	15.1523	+	6.98944i	0.958318	+	0.442051i
$251$	12.4729	+	10.4660i	0.787281	+	0.660607i	0.945071	−	0.326865i	$-0.105992\pi$
$251$	12.4729	+	10.4660i	0.787281	+	0.660607i	−0.157790	+	0.987473i	$0.550437\pi$
$252$	2.49362	+	4.94987i	0.157084	+	0.311813i
$253$	−4.44578	+	25.2133i	−0.279504	+	1.58514i
$254$	10.2051	+	21.6504i	0.640323	+	1.35847i
$255$	−3.28663	+	5.28673i	−0.205817	+	0.331068i
$256$	3.29851	+	15.6563i	0.206157	+	0.978519i
$257$	5.54922	−	6.61330i	0.346151	−	0.412526i	−0.564678	−	0.825311i	$-0.691000\pi$
$257$	5.54922	−	6.61330i	0.346151	−	0.412526i	0.910828	+	0.412785i	$0.135444\pi$
$258$	−8.75352	+	11.7733i	−0.544970	+	0.732972i
$259$	4.71497	−	2.72219i	0.292974	−	0.169149i
$260$	19.4709	+	6.90485i	1.20754	+	0.428220i
$261$	−14.3826	+	1.57859i	−0.890263	+	0.0977125i
$262$	−16.8594	+	16.9995i	−1.04158	+	1.05023i
$263$	−21.5235	−	7.83391i	−1.32720	−	0.483060i	−0.421439	−	0.906857i	$-0.638475\pi$
$263$	−21.5235	−	7.83391i	−1.32720	−	0.483060i	−0.905757	+	0.423797i	$0.860697\pi$
$264$	−5.50203	−	12.4493i	−0.338627	−	0.766203i
$265$	4.64907	+	8.05242i	0.285590	+	0.494656i
$266$	5.63855	−	0.795446i	0.345722	−	0.0487719i
$267$	0.269557	−	8.26397i	0.0164966	−	0.505747i
$268$	−14.5657	−	24.7531i	−0.889745	−	1.51204i
$269$	0.983121	−	0.173351i	0.0599420	−	0.0105694i	−0.143597	−	0.989636i	$-0.545867\pi$
$269$	0.983121	−	0.173351i	0.0599420	−	0.0105694i	0.203539	+	0.979067i	$0.434756\pi$
$270$	−7.30471	−	8.81970i	−0.444551	−	0.536750i
$271$	−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	$0.905083\pi$
$272$	−7.91156	+	4.74410i	−0.479709	+	0.287653i
$273$	9.00653	+	5.59914i	0.545100	+	0.338875i
$274$	5.98318	−	8.62058i	0.361457	−	0.520789i
$275$	−5.47270	−	4.59214i	−0.330016	−	0.276917i
$276$	−11.6443	+	29.7220i	−0.700905	+	1.78906i
$277$	−9.01742			−0.541804			−0.270902	−	0.962607i	$-0.587322\pi$
$277$	−9.01742			−0.541804			−0.270902	+	0.962607i	$0.587322\pi$
$278$	11.5020	−	16.5721i	0.689844	−	0.993929i
$279$	3.46264	+	11.8693i	0.207303	+	0.710598i
$280$	−1.76648	−	3.66860i	−0.105568	−	0.219241i
$281$	6.01579	+	16.5282i	0.358872	+	0.985993i	0.979422	+	0.201825i	$0.0646874\pi$
$281$	6.01579	+	16.5282i	0.358872	+	0.985993i	−0.620550	+	0.784167i	$0.713090\pi$
$282$	4.31750	+	6.55557i	0.257104	+	0.390379i
$283$	−21.0943	+	3.71949i	−1.25392	+	0.221101i	−0.760873	−	0.648900i	$-0.775229\pi$
$283$	−21.0943	+	3.71949i	−1.25392	+	0.221101i	−0.493050	+	0.870001i	$0.664118\pi$
$284$	−6.40930	−	17.1659i	−0.380322	−	1.01861i
$285$	−10.9898	+	4.20197i	−0.650978	+	0.248903i
$286$	−21.3951	−	14.8494i	−1.26512	−	0.878065i
$287$	0.456640	+	0.166203i	0.0269546	+	0.00981068i
$288$	−3.65844	−	16.5715i	−0.215576	−	0.976487i
$289$	8.94839	+	7.50859i	0.526376	+	0.441682i
$290$	10.5851	−	0.970244i	0.621580	−	0.0569747i
$291$	6.40966	+	5.74465i	0.375741	+	0.336757i
$292$	−17.7982	−	2.98660i	−1.04156	−	0.174778i
$293$	−15.3007	−	8.83388i	−0.893878	−	0.516081i	−0.0186693	−	0.999826i	$-0.505943\pi$
$293$	−15.3007	−	8.83388i	−0.893878	−	0.516081i	−0.875209	+	0.483745i	$0.839276\pi$
$294$	3.48131	+	14.6482i	0.203034	+	0.854303i
$295$	4.03974	+	0.712315i	0.235203	+	0.0414726i
$296$	−16.0473	+	4.51415i	−0.932729	+	0.262380i
$297$	5.96275	+	13.1477i	0.345994	+	0.762905i
$298$	−2.55368	+	9.69072i	−0.147930	+	0.561368i
$299$	10.6063	+	60.1512i	0.613377	+	3.47864i
$300$	−5.55794	−	6.96080i	−0.320888	−	0.401882i
$301$	4.23827	−	3.55633i	0.244290	−	0.204984i
$302$	−1.86777	−	20.3769i	−0.107478	−	1.17256i
$303$	−27.1349	−	16.8691i	−1.55886	−	0.969105i
$304$	−17.3317	−	1.90078i	−0.994040	−	0.109017i
$305$		−	21.6919i		−	1.24208i
$306$	8.34261	−	5.11250i	0.476915	−	0.292262i
$307$	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	$0.254618\pi$
$308$	0.933145	+	5.04743i	0.0531709	+	0.287604i
$309$	3.86292	−	9.62472i	0.219754	−	0.547531i
$310$	−2.38719	−	8.76384i	−0.135583	−	0.497753i
$311$	−9.80605			−0.556050			−0.278025	−	0.960574i	$-0.589680\pi$
$311$	−9.80605			−0.556050			−0.278025	+	0.960574i	$0.589680\pi$
$312$	−22.4927	−	23.4198i	−1.27340	−	1.32588i
$313$	−3.91884	+	22.2249i	−0.221506	+	1.25622i	0.647747	+	0.761856i	$0.275711\pi$
$313$	−3.91884	+	22.2249i	−0.221506	+	1.25622i	−0.869253	+	0.494368i	$0.835400\pi$
$314$	3.52225	+	12.9309i	0.198772	+	0.729733i
$315$	1.91104	+	3.87291i	0.107675	+	0.218214i
$316$	16.2956	+	13.4453i	0.916698	+	0.756358i
$317$	8.76704	−	10.4481i	0.492406	−	0.586826i	−0.461422	−	0.887181i	$-0.652661\pi$
$317$	8.76704	−	10.4481i	0.492406	−	0.586826i	0.953828	+	0.300354i	$0.0971050\pi$
$318$	−0.858834	−	14.5895i	−0.0481610	−	0.818137i
$319$	−13.1963	−	2.32686i	−0.738851	−	0.130279i
$320$	2.46913	+	12.2203i	0.138029	+	0.683135i
$321$	5.99983	+	2.40805i	0.334878	+	0.134404i
$322$	6.86399	−	9.88967i	0.382515	−	0.551130i
$323$	−2.22590	−	9.80310i	−0.123853	−	0.545459i
$324$	4.04954	+	17.5386i	0.224975	+	0.974365i
$325$	−16.0158	−	5.82928i	−0.888398	−	0.323351i
$326$	−5.12822	−	2.36553i	−0.284026	−	0.131015i
$327$	−11.8662	−	10.6351i	−0.656203	−	0.588121i
$328$	−1.22933	−	0.838233i	−0.0678785	−	0.0462837i
$329$	−1.01246	−	2.78172i	−0.0558189	−	0.153361i
$330$	−4.20675	−	9.73571i	−0.231574	−	0.535933i
$331$			5.03325i			0.276652i	0.990387	+	0.138326i	$0.0441722\pi$
$331$			5.03325i			0.276652i	−0.990387	+	0.138326i	$0.955828\pi$
$332$	9.75448	−	1.80336i	0.535347	−	0.0989724i
$333$	16.9738	−	4.95176i	0.930157	−	0.271355i
$334$	15.0253	−	7.08226i	0.822146	−	0.387524i
$335$	−11.1896	−	19.3810i	−0.611354	−	1.05890i
$336$	−0.102716	+	6.39911i	−0.00560364	+	0.349100i
$337$	−22.9462	−	8.35172i	−1.24996	−	0.454947i	−0.369570	−	0.929203i	$-0.620495\pi$
$337$	−22.9462	−	8.35172i	−1.24996	−	0.454947i	−0.880387	+	0.474256i	$0.842717\pi$
$338$	−42.3027	−	11.1475i	−2.30096	−	0.606345i
$339$	3.82454	+	4.87205i	0.207721	+	0.264614i
$340$	−6.19510	+	3.64545i	−0.335977	+	0.197703i
$341$			11.4505i			0.620079i
$342$	18.4016	+	1.83886i	0.995044	+	0.0994339i
$343$		−	12.1443i		−	0.655729i
$344$	−15.2632	+	7.34944i	−0.822936	+	0.396255i
$345$	−9.26468	+	23.0836i	−0.498794	+	1.24278i
$346$	−0.608931	+	2.31078i	−0.0327363	+	0.124228i
$347$	−6.15231	−	2.23926i	−0.330273	−	0.120210i	0.171561	−	0.985174i	$-0.445119\pi$
$347$	−6.15231	−	2.23926i	−0.330273	−	0.120210i	−0.501834	+	0.864964i	$0.667341\pi$
$348$	−15.5561	−	6.09448i	−0.833897	−	0.326699i
$349$	14.6766	+	25.4206i	0.785620	+	1.36073i	0.928628	+	0.371012i	$0.120989\pi$
$349$	14.6766	+	25.4206i	0.785620	+	1.36073i	−0.143008	+	0.989722i	$0.545677\pi$
$350$	1.43224	+	3.03856i	0.0765567	+	0.162418i
$351$	24.0954	+	24.6094i	1.28612	+	1.31355i
$352$	1.04549	−	15.6818i	0.0557250	−	0.835841i
$353$		−	7.37084i		−	0.392310i	−0.980573	−	0.196155i	$-0.937154\pi$
$353$		−	7.37084i		−	0.392310i	0.980573	−	0.196155i	$-0.0628456\pi$
$354$	−5.17415	−	3.84702i	−0.275003	−	0.204467i
$355$	−4.88325	−	13.4166i	−0.259176	−	0.712080i
$356$	4.70513	−	8.30760i	0.249371	−	0.440302i
$357$	−3.50670	+	1.14832i	−0.185594	+	0.0607755i
$358$	10.9509	−	23.7403i	0.578772	−	1.25471i
$359$	0.0856158	+	0.0311616i	0.00451863	+	0.00164465i	0.344278	−	0.938868i	$-0.388124\pi$
$359$	0.0856158	+	0.0311616i	0.00451863	+	0.00164465i	−0.339760	+	0.940512i	$0.610346\pi$
$360$	−2.74368	−	12.9357i	−0.144605	−	0.681774i
$361$	7.85337	−	17.3010i	0.413335	−	0.910579i
$362$	−2.59155	−	1.79868i	−0.136209	−	0.0945367i
$363$	−0.803818	−	5.62556i	−0.0421895	−	0.295265i
$364$	6.21043	+	10.5540i	0.325515	+	0.553182i
$365$	−13.8487	−	2.44189i	−0.724872	−	0.127814i
$366$	−15.2830	+	30.4781i	−0.798854	+	1.59312i
$367$	−20.1158	+	23.9731i	−1.05004	+	1.25139i	−0.0830545	+	0.996545i	$0.526468\pi$
$367$	−20.1158	+	23.9731i	−1.05004	+	1.25139i	−0.966983	+	0.254841i	$0.917977\pi$
$368$	−27.8402	+	24.1573i	−1.45127	+	1.25929i
$369$	1.31241	+	0.876476i	0.0683213	+	0.0456275i
$370$	−12.5328	+	3.41381i	−0.651548	+	0.177475i
$371$	−0.957063	+	5.42777i	−0.0496882	+	0.281796i
$372$	−2.82043	+	13.9955i	−0.146233	+	0.725630i
$373$	11.8899			0.615637			0.307819	−	0.951445i	$-0.400401\pi$
$373$	11.8899			0.615637			0.307819	+	0.951445i	$0.400401\pi$
$374$	8.74298	−	2.38150i	0.452089	−	0.123145i
$375$	−12.6192	−	16.0755i	−0.651655	−	0.830138i
$376$	0.902033	+	9.01895i	0.0465188	+	0.465117i
$377$	−31.4824	+	5.55119i	−1.62143	+	0.285901i
$378$	0.0435441	−	6.78802i	0.00223967	−	0.349138i
$379$			9.53183i			0.489617i	0.969571	+	0.244809i	$0.0787251\pi$
$379$			9.53183i			0.489617i	−0.969571	+	0.244809i	$0.921275\pi$
$380$	−13.4922	−	1.59283i	−0.692134	−	0.0817107i
$381$	0.955674	−	29.2987i	0.0489607	−	1.50102i
$382$	5.16799	−	0.473704i	0.264418	−	0.0242368i
$383$	−22.4340	+	18.8244i	−1.14632	+	0.961881i	−0.999627	−	0.0273007i	$-0.991309\pi$
$383$	−22.4340	+	18.8244i	−1.14632	+	0.961881i	−0.146698	+	0.989181i	$0.546864\pi$
$384$	5.14053	−	18.9097i	0.262326	−	0.964979i
$385$	0.694527	+	3.93886i	0.0353964	+	0.200743i
$386$	−10.2170	−	2.69237i	−0.520033	−	0.137038i
$387$	16.1132	−	7.95088i	0.819079	−	0.404166i
$388$	3.47647	+	9.31095i	0.176491	+	0.472692i
$389$	8.91495	+	1.57195i	0.452006	+	0.0797009i	0.395017	−	0.918674i	$-0.370739\pi$
$389$	8.91495	+	1.57195i	0.452006	+	0.0797009i	0.0569894	+	0.998375i	$0.481850\pi$
$390$	−17.3747	−	18.3932i	−0.879803	−	0.931377i
$391$	−18.4047	−	10.6259i	−0.930764	−	0.537377i
$392$	−4.29082	+	16.8476i	−0.216719	+	0.850934i
$393$	27.8669	−	9.12540i	1.40570	−	0.460315i
$394$	1.30328	+	14.2184i	0.0656581	+	0.716314i
$395$	12.6104	+	10.5814i	0.634498	+	0.532407i
$396$	−0.948597	+	16.6429i	−0.0476688	+	0.836339i
$397$	−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	$0.680661\pi$
$398$	−5.56984	+	8.02505i	−0.279191	+	0.402260i
$399$	−6.59121	−	2.27925i	−0.329973	−	0.114105i
$400$	−1.95351	−	10.0983i	−0.0976754	−	0.504913i
$401$	3.74871	−	0.660998i	0.187202	−	0.0330087i	−0.0792613	−	0.996854i	$-0.525256\pi$
$401$	3.74871	−	0.660998i	0.187202	−	0.0330087i	0.266463	+	0.963845i	$0.414145\pi$
$402$	2.06709	+	35.1147i	0.103097	+	1.75136i
$403$	9.34311	+	25.6700i	0.465413	+	1.27871i
$404$	−18.7108	−	31.7972i	−0.930897	−	1.58197i
$405$	3.04218	+	13.6918i	0.151167	+	0.680349i
$406$	5.17613	+	3.59253i	0.256887	+	0.178294i
$407$	16.3748			0.811670
$408$	11.2728	−	0.757281i	0.558086	−	0.0374910i
$409$	8.49185	+	7.12551i	0.419895	+	0.352334i	0.828123	−	0.560546i	$-0.189409\pi$
$409$	8.49185	+	7.12551i	0.419895	+	0.352334i	−0.408228	+	0.912880i	$0.633853\pi$
$410$	−0.952459	−	0.661061i	−0.0470386	−	0.0326475i
$411$	−11.3336	+	6.05965i	−0.559044	+	0.298900i
$412$	9.10964	−	7.77331i	0.448800	−	0.382963i
$413$	1.56295	+	1.86265i	0.0769076	+	0.0916549i
$414$	29.2807	−	25.9060i	1.43907	−	1.27321i
$415$	7.61209	−	1.34222i	0.373663	−	0.0658869i
$416$	−10.4518	−	36.0088i	−0.512444	−	1.76548i
$417$	−21.7875	+	11.6490i	−1.06694	+	0.570454i
$418$	15.8830	+	6.40751i	0.776862	+	0.313402i
$419$	−4.74761	−	8.22311i	−0.231936	−	0.401725i	0.726442	−	0.687228i	$-0.241173\pi$
$419$	−4.74761	−	8.22311i	−0.231936	−	0.401725i	−0.958378	+	0.285503i	$0.907839\pi$
$420$	−0.121311	+	4.98537i	−0.00591936	+	0.243261i
$421$	12.3277	+	4.48692i	0.600816	+	0.218679i	0.624480	−	0.781041i	$-0.285311\pi$
$421$	12.3277	+	4.48692i	0.600816	+	0.218679i	−0.0236641	+	0.999720i	$0.507533\pi$
$422$	−20.3505	−	20.1828i	−0.990648	−	0.982481i
$423$	−1.04888	−	9.55638i	−0.0509982	−	0.464647i
$424$	6.94149	−	15.3819i	0.337109	−	0.747011i
$425$	5.13569	−	2.96509i	0.249117	−	0.143828i
$426$	−2.59146	+	22.2914i	−0.125556	+	1.08002i
$427$	8.26495	−	9.84978i	0.399969	−	0.476664i
$428$	4.84570	+	5.67874i	0.234226	+	0.274492i
$429$	15.0392	+	28.1284i	0.726100	+	1.35805i
$430$	−11.9401	+	5.62805i	−0.575804	+	0.271409i
$431$	6.17077	−	34.9962i	0.297236	−	1.68571i	−0.360739	−	0.932667i	$-0.617476\pi$
$431$	6.17077	−	34.9962i	0.297236	−	1.68571i	0.657975	−	0.753040i	$-0.271413\pi$
$432$	−5.25885	+	20.1083i	−0.253016	+	0.967462i
$433$	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	$0.580978\pi$
$434$	2.25519	−	4.88900i	0.108253	−	0.234680i
$435$	−12.0817	−	4.84902i	−0.579271	−	0.232493i
$436$	−6.43598	−	17.2374i	−0.308228	−	0.825521i
$437$	−15.5607	−	37.0306i	−0.744369	−	1.77141i
$438$	17.7375	+	13.1880i	0.847532	+	0.630146i
$439$	1.43198	+	1.70657i	0.0683446	+	0.0814499i	0.799133	−	0.601154i	$-0.205292\pi$
$439$	1.43198	+	1.70657i	0.0683446	+	0.0814499i	−0.730789	+	0.682604i	$0.760848\pi$
$440$	0.915777	−	12.2121i	0.0436580	−	0.582190i
$441$	4.37871	−	17.9126i	0.208510	−	0.852983i
$442$	17.6570	−	12.4728i	0.839858	−	0.593271i
$443$	−1.45600	−	1.22173i	−0.0691767	−	0.0580461i	0.607544	−	0.794286i	$-0.292155\pi$
$443$	−1.45600	−	1.22173i	−0.0691767	−	0.0580461i	−0.676720	+	0.736240i	$0.736599\pi$
$444$	20.0143	+	4.03337i	0.949835	+	0.191415i
$445$	3.71971	−	6.44273i	0.176331	−	0.305415i
$446$	−23.3656	−	23.1730i	−1.10639	−	1.09727i
$447$	8.19180	−	9.14010i	0.387459	−	0.432312i
$448$	−3.53494	+	6.48972i	−0.167010	+	0.306610i
$449$	15.2853	+	8.82496i	0.721357	+	0.416476i	0.815252	−	0.579107i	$-0.196598\pi$
$449$	15.2853	+	8.82496i	0.721357	+	0.416476i	−0.0938950	+	0.995582i	$0.529932\pi$
$450$	2.17511	+	10.6904i	0.102536	+	0.503949i
$451$	0.939472	+	1.11962i	0.0442380	+	0.0527208i
$452$	1.30021	+	7.03288i	0.0611566	+	0.330799i
$453$	−9.33462	+	23.2579i	−0.438579	+	1.09275i
$454$	9.75861	−	0.894484i	0.457994	−	0.0419802i
$455$	4.77094	+	8.26352i	0.223665	+	0.387400i
$456$	17.8348	+	11.7439i	0.835193	+	0.549957i
$457$	8.30445	−	14.3837i	0.388466	−	0.672842i	−0.603778	−	0.797153i	$-0.706339\pi$
$457$	8.30445	−	14.3837i	0.388466	−	0.672842i	0.992243	+	0.124311i	$0.0396719\pi$
$458$	1.45286	−	3.14964i	0.0678877	−	0.147173i
$459$	−11.9483	+	0.918386i	−0.557698	+	0.0428666i
$460$	−21.8482	+	18.6432i	−1.01868	+	0.869245i
$461$	27.8263	−	4.90652i	1.29600	−	0.228519i	0.517238	−	0.855842i	$-0.326960\pi$
$461$	27.8263	−	4.90652i	1.29600	−	0.228519i	0.778760	+	0.627322i	$0.215849\pi$
$462$	1.79927	−	6.02359i	0.0837095	−	0.280243i
$463$		−	12.3513i		−	0.574012i	−0.957929	−	0.287006i	$-0.907340\pi$
$463$		−	12.3513i		−	0.574012i	0.957929	−	0.287006i	$-0.0926600\pi$
$464$	−12.6436	−	14.5712i	−0.586966	−	0.676451i
$465$	−2.28789	+	10.8867i	−0.106098	+	0.504860i
$466$	−9.50801	+	36.0811i	−0.440450	+	1.67142i
$467$	5.58533	+	9.67408i	0.258458	+	0.447663i	0.965829	−	0.259180i	$-0.0834522\pi$
$467$	5.58533	+	9.67408i	0.258458	+	0.447663i	−0.707371	+	0.706843i	$0.750119\pi$
$468$	11.4533	+	38.0846i	0.529431	+	1.76046i
$469$	2.30351	−	13.0638i	0.106366	−	0.603232i
$470$	0.644667	+	7.03317i	0.0297363	+	0.324416i
$471$	3.37574	−	16.0632i	0.155546	−	0.740152i
$472$	−3.22995	−	6.70790i	−0.148670	−	0.308756i
$473$	16.3876	−	2.88957i	0.753501	−	0.132863i
$474$	−10.2631	−	23.7519i	−0.471399	−	1.09096i
$475$	11.1198	+	1.40619i	0.510211	+	0.0645204i
$476$	−4.20202	−	0.705114i	−0.192599	−	0.0323188i
$477$	−7.20502	+	16.3852i	−0.329895	+	0.750225i
$478$	−17.3592	+	1.59116i	−0.793989	+	0.0727779i
$479$	0.335127	−	0.121976i	0.0153124	−	0.00557324i	−0.334353	−	0.942448i	$-0.608518\pi$
$479$	0.335127	−	0.121976i	0.0153124	−	0.00557324i	0.349665	+	0.936875i	$0.386295\pi$
$480$	4.12735	−	14.7008i	0.188387	−	0.670996i
$481$	36.7095	−	13.3611i	1.67381	−	0.609216i
$482$	1.78692	−	21.4466i	0.0813918	−	0.976866i
$483$	−13.0021	+	6.95172i	−0.591614	+	0.316314i
$484$	2.19315	−	6.18445i	0.0996887	−	0.281112i
$485$	2.64872	+	7.27730i	0.120272	+	0.330445i
$486$	5.37209	−	21.3808i	0.243683	−	0.969855i
$487$	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	$0.613588\pi$
$488$	−31.9669	+	22.9803i	−1.44708	+	1.04027i
$489$	4.27090	+	5.44067i	0.193137	+	0.246036i
$490$	−3.45198	+	13.0996i	−0.155944	+	0.591779i
$491$	−16.2706	+	13.6526i	−0.734280	+	0.616134i	−0.931295	−	0.364266i	$-0.881320\pi$
$491$	−16.2706	+	13.6526i	−0.734280	+	0.616134i	0.197015	+	0.980401i	$0.436875\pi$
$492$	0.872498	+	1.59987i	0.0393352	+	0.0721277i
$493$	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
$497$	2.89456	−	7.95275i	0.129839	−	0.356730i
$498$	−11.6410	−	3.47720i	−0.521644	−	0.155817i
$499$	−4.97875	+	13.6790i	−0.222879	+	0.612356i	−0.999852	−	0.0171778i	$-0.994532\pi$
$499$	−4.97875	+	13.6790i	−0.222879	+	0.612356i	0.776973	+	0.629534i	$0.216754\pi$
$500$	−4.29009	−	23.2053i	−0.191859	−	1.03777i
$501$	−20.3331	−	0.663232i	−0.908416	−	0.0296310i
$502$	1.91193	−	22.9470i	0.0853335	−	1.02417i
$503$	−35.1333	+	12.7875i	−1.56652	+	0.570166i	−0.972218	−	0.234078i	$-0.924793\pi$
$503$	−35.1333	+	12.7875i	−1.56652	+	0.570166i	−0.594300	+	0.804243i	$0.702571\pi$
$504$	3.68287	−	6.91919i	0.164048	−	0.308205i
$505$	−14.3739	−	24.8963i	−0.639631	−	1.10787i
$506$	32.7511	−	15.4374i	1.45596	−	0.686277i
$507$	39.8991	+	35.7595i	1.77198	+	1.58813i
$508$	16.6813	−	29.4534i	0.740115	−	1.30678i
$509$	11.4080	+	2.01153i	0.505650	+	0.0891597i	0.420653	−	0.907222i	$-0.361801\pi$
$509$	11.4080	+	2.01153i	0.505650	+	0.0891597i	0.0849966	+	0.996381i	$0.472912\pi$
$510$	8.78836	−	0.517342i	0.389155	−	0.0229083i
$511$	−5.35794	−	6.38535i	−0.237021	−	0.282471i
$512$	15.3930	−	16.5848i	0.680281	−	0.732951i
$513$	−19.0359	−	12.2734i	−0.840453	−	0.541884i
$514$	−12.1668	−	1.01373i	−0.536655	−	0.0447138i
$515$	7.14816	−	5.99802i	0.314985	−	0.264304i
$516$	20.7416	+	0.504712i	0.913098	+	0.0222187i
$517$	1.54606	−	8.76813i	0.0679955	−	0.385622i
$518$	−6.99154	−	3.22504i	−0.307191	−	0.141700i
$519$	1.95336	−	2.17948i	0.0857428	−	0.0956686i
$520$	−7.91155	−	28.1246i	−0.346945	−	1.23335i
$521$	−10.4089	+	6.00955i	−0.456020	+	0.263283i	−0.710369	−	0.703829i	$-0.751472\pi$
$521$	−10.4089	+	6.00955i	−0.456020	+	0.263283i	0.254349	+	0.967112i	$0.418139\pi$
$522$	13.5589	+	15.3252i	0.593457	+	0.670764i
$523$	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	$0.876422\pi$
$524$	33.3923	+	5.60336i	1.45875	+	0.244784i
$525$	0.134126	−	4.11197i	0.00585372	−	0.179461i
$526$	8.51319	+	31.2536i	0.371193	+	1.36272i
$527$	−8.93161	−	3.25084i	−0.389067	−	0.141609i
$528$	−9.89071	+	16.5133i	−0.430438	+	0.718651i
$529$	−58.1818	−	21.1765i	−2.52964	−	0.920715i
$530$	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
$534$	−9.76556	+	6.43160i	−0.422597	+	0.278323i
$535$	3.73903	+	4.45600i	0.161652	+	0.192650i
$536$	−16.7071	+	37.0220i	−0.721639	+	1.59911i
$537$	−25.1867	+	19.7715i	−1.08689	+	0.853203i
$538$	−1.00241	−	0.994147i	−0.0432170	−	0.0428607i
$539$	8.53875	−	14.7895i	0.367790	−	0.637031i
$540$	−4.22727	+	15.6340i	−0.181913	+	0.672780i
$541$	−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	$0.391436\pi$
$542$	−4.61973	+	17.5310i	−0.198434	+	0.753021i
$543$	1.82167	+	3.40714i	0.0781755	+	0.146214i
$544$	11.9353	+	5.26762i	0.511721	+	0.225847i
$545$	−4.90358	−	13.4725i	−0.210046	−	0.577097i
$546$	−0.881348	−	14.9719i	−0.0377182	−	0.640740i
$547$	−12.7997	−	35.1669i	−0.547276	−	1.50363i	−0.837373	−	0.546631i	$-0.815910\pi$
$547$	−12.7997	−	35.1669i	−0.547276	−	1.50363i	0.290098	−	0.956997i	$-0.406312\pi$
$548$	−14.8395	+	0.122848i	−0.633912	+	0.00524779i
$549$	33.6696	−	24.6998i	1.43698	−	1.05416i
$550$	−0.838893	+	10.0684i	−0.0357705	+	0.429318i
$551$	19.3813	−	8.14427i	0.825673	−	0.346958i
$552$	43.8327	−	10.8014i	1.86565	−	0.459739i
$553$	1.69441	+	9.60950i	0.0720538	+	0.408637i
$554$	7.35774	+	10.4159i	0.312600	+	0.442530i
$555$	15.5686	+	3.27181i	0.660851	+	0.138880i
$556$	−28.5273	+	0.236161i	−1.20983	+	0.0100155i
$557$	36.9065	+	6.50761i	1.56378	+	0.275736i	0.887464	−	0.460876i	$-0.152465\pi$
$557$	36.9065	+	6.50761i	1.56378	+	0.275736i	0.676315	+	0.736613i	$0.263576\pi$
$558$	10.8848	−	13.6844i	0.460790	−	0.579307i
$559$	34.3803	−	19.8495i	1.45413	−	0.839543i
$560$	−2.79620	+	5.03383i	−0.118161	+	0.212718i
$561$	−10.8608	−	2.28244i	−0.458544	−	0.0963648i
$562$	14.1830	−	20.4350i	0.598275	−	0.861997i
$563$	23.8116			1.00354			0.501769	−	0.865002i	$-0.332683\pi$
$563$	23.8116			1.00354			0.501769	+	0.865002i	$0.332683\pi$
$564$	4.04941	−	10.3361i	0.170511	−	0.435228i
$565$	0.967725	+	5.48824i	0.0407125	+	0.230892i
$566$	21.5082	+	21.3308i	0.904055	+	0.896602i
$567$	−3.83538	+	7.37621i	−0.161071	+	0.309772i
$568$	−14.5985	+	21.4098i	−0.612540	+	0.898335i
$569$	−22.6542	−	13.0794i	−0.949715	−	0.548318i	−0.0567226	−	0.998390i	$-0.518065\pi$
$569$	−22.6542	−	13.0794i	−0.949715	−	0.548318i	−0.892992	+	0.450072i	$0.851398\pi$
$570$	13.8207	+	9.26558i	0.578887	+	0.388092i
$571$	7.20784	−	4.16145i	0.301639	−	0.174151i	−0.341540	−	0.939867i	$-0.610949\pi$
$571$	7.20784	−	4.16145i	0.301639	−	0.174151i	0.643179	+	0.765716i	$0.277615\pi$
$572$	0.304891	+	36.8296i	0.0127481	+	1.53992i
$573$	−5.89865	−	2.36744i	−0.246420	−	0.0989014i
$574$	−0.180615	−	0.663073i	−0.00753871	−	0.0276761i
$575$	18.1515	−	15.2309i	0.756971	−	0.635174i
$576$	−16.1565	+	17.7473i	−0.673187	+	0.739472i
$577$	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	$0.0783864\pi$
$578$	1.37167	−	16.4628i	0.0570539	−	0.684762i
$579$	9.63651	+	8.63670i	0.400480	+	0.358929i
$580$	−9.75763	−	11.4351i	−0.405164	−	0.474817i
$581$	3.96787	+	2.29085i	0.164615	+	0.0950405i
$582$	1.40563	−	12.0911i	0.0582652	−	0.501191i
$583$	−10.6553	+	12.6985i	−0.441298	+	0.525918i
$584$	11.0726	+	22.9954i	0.458187	+	0.951556i
$585$	8.67851	+	29.7485i	0.358812	+	1.22995i
$586$	2.28068	+	24.8817i	0.0942140	+	1.02785i
$587$	13.8799	−	11.6466i	0.572883	−	0.480706i	−0.309718	−	0.950828i	$-0.600235\pi$
$587$	13.8799	−	11.6466i	0.572883	−	0.480706i	0.882601	+	0.470122i	$0.155790\pi$
$588$	14.0794	−	15.9734i	0.580627	−	0.658732i
$589$	−9.72966	−	15.1017i	−0.400904	−	0.622254i
$590$	−2.47343	−	5.24747i	−0.101830	−	0.216035i
$591$	6.51342	−	16.2286i	0.267926	−	0.667557i
$592$	18.3080	+	14.8527i	0.752453	+	0.610443i
$593$	2.40098	−	2.86137i	0.0985963	−	0.117503i	−0.714490	−	0.699646i	$-0.753341\pi$
$593$	2.40098	−	2.86137i	0.0985963	−	0.117503i	0.813086	+	0.582143i	$0.197786\pi$
$594$	10.3214	−	17.6153i	0.423493	−	0.722765i
$595$	−3.26956	−	0.576512i	−0.134039	−	0.0236347i
$596$	13.2773	−	4.95739i	0.543859	−	0.203063i
$597$	10.5506	−	5.64103i	0.431808	−	0.230872i
$598$	60.8258	−	61.3314i	2.48735	−	2.50803i
$599$	−7.55746	−	6.34146i	−0.308790	−	0.259105i	0.475202	−	0.879877i	$-0.342375\pi$
$599$	−7.55746	−	6.34146i	−0.308790	−	0.259105i	−0.783991	+	0.620772i	$0.786819\pi$
$600$	−3.50535	+	12.0996i	−0.143105	+	0.493962i
$601$	11.4095	+	19.7619i	0.465404	+	0.806104i	0.999220	−	0.0394974i	$-0.0125757\pi$
$601$	11.4095	+	19.7619i	0.465404	+	0.806104i	−0.533816	+	0.845601i	$0.679242\pi$
$602$	−7.56609	−	1.99380i	−0.308371	−	0.0812612i
$603$	17.3414	−	39.4366i	0.706197	−	1.60598i
$604$	−22.0132	+	18.7840i	−0.895703	+	0.764309i
$605$	1.74874	−	4.80463i	0.0710965	−	0.195336i
$606$	2.65533	+	45.1075i	0.107865	+	1.83237i
$607$	11.2946	−	6.52094i	0.458434	−	0.264677i	−0.252952	−	0.967479i	$-0.581401\pi$
$607$	11.2946	−	6.52094i	0.458434	−	0.264677i	0.711385	+	0.702802i	$0.248068\pi$
$608$	11.9462	+	21.5706i	0.484481	+	0.874802i
$609$	−3.63844	−	6.80511i	−0.147437	−	0.275757i
$610$	−25.0561	+	17.6995i	−1.01449	+	0.716631i
$611$	−3.68843	−	20.9181i	−0.149218	−	0.846256i
$612$	−12.7125	−	5.46492i	−0.513873	−	0.220906i
$613$	−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	$0.342769\pi$
$614$	−19.7625	−	19.5996i	−0.797549	−	0.790974i
$615$	0.669510	+	1.25221i	0.0269972	+	0.0504939i
$616$	5.06883	−	5.19630i	0.204229	−	0.209365i
$617$	−18.4292	+	21.9631i	−0.741932	+	0.884200i	−0.996563	−	0.0828386i	$-0.973601\pi$
$617$	−18.4292	+	21.9631i	−0.741932	+	0.884200i	0.254631	+	0.967038i	$0.418046\pi$
$618$	−14.2693	+	3.39126i	−0.573997	+	0.136416i
$619$			21.4964i			0.864015i	0.901870	+	0.432007i	$0.142195\pi$
$619$			21.4964i			0.864015i	−0.901870	+	0.432007i	$0.857805\pi$
$620$	−8.17519	+	9.90825i	−0.328324	+	0.397925i
$621$	−46.3791	+	11.9041i	−1.86113	+	0.477694i
$622$	8.00122	+	11.3269i	0.320820	+	0.454165i
$623$	4.14381	−	1.50822i	0.166018	−	0.0604257i
$624$	−8.69905	+	45.0904i	−0.348241	+	1.80506i
$625$	−0.960481	−	5.44716i	−0.0384192	−	0.217886i
$626$	28.8693	−	13.6077i	1.15385	−	0.543874i
$627$	−13.7406	−	15.8488i	−0.548745	−	0.632941i
$628$	12.0624	−	14.6194i	0.481340	−	0.583379i
$629$	−4.64888	+	12.7727i	−0.185363	+	0.509280i
$630$	2.91424	−	5.36751i	0.116106	−	0.213847i
$631$	−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	$0.979401\pi$
$632$	2.23419	−	29.7935i	0.0888713	−	1.18512i
$633$	10.9242	+	33.3600i	0.434199	+	1.32594i
$634$	−19.2220	−	1.60156i	−0.763402	−	0.0636062i
$635$	13.1877	−	22.8417i	0.523338	−	0.906447i
$636$	−16.1514	+	12.8963i	−0.640444	+	0.511371i
$637$	7.07473	−	40.1228i	0.280311	−	1.58972i
$638$	8.07975	+	17.1415i	0.319881	+	0.678638i
$639$	15.2645	−	22.8567i	0.603855	−	0.904196i
$640$	12.1008	−	12.8232i	0.478328	−	0.506881i
$641$	3.29304	−	0.580651i	0.130067	−	0.0229343i	−0.108236	−	0.994125i	$-0.534520\pi$
$641$	3.29304	−	0.580651i	0.130067	−	0.0229343i	0.238303	+	0.971191i	$0.423409\pi$
$642$	−2.11403	−	8.89518i	−0.0834342	−	0.351065i
$643$	−20.4084	−	24.3218i	−0.804829	−	0.959158i	0.194936	−	0.980816i	$-0.437550\pi$
$643$	−20.4084	−	24.3218i	−0.804829	−	0.959158i	−0.999765	+	0.0216578i	$0.993106\pi$
$644$	−17.0241	+	0.140933i	−0.670844	+	0.00555353i
$645$	16.1581	+	0.527051i	0.636225	+	0.0207526i
$646$	−9.50723	+	10.5699i	−0.374057	+	0.415868i
$647$	−43.8882			−1.72542			−0.862711	−	0.505697i	$-0.831235\pi$
$647$	−43.8882			−1.72542			−0.862711	+	0.505697i	$0.831235\pi$
$648$	16.9544	−	18.9881i	0.666031	−	0.745924i
$649$	1.26992	+	7.20205i	0.0498486	+	0.282705i
$650$	6.33474	+	23.2561i	0.248469	+	0.912179i
$651$	−5.18688	+	4.07168i	−0.203290	+	0.159582i
$652$	1.45195	+	7.85370i	0.0568629	+	0.307574i
$653$			32.6574i			1.27798i	0.769213	+	0.638992i	$0.220648\pi$
$653$			32.6574i			1.27798i	−0.769213	+	0.638992i	$0.779352\pi$
$654$	−2.60224	+	22.3842i	−0.101756	+	0.875291i
$655$	25.9824	+	4.58139i	1.01522	+	0.179010i
$656$	0.0348371	+	2.10394i	0.00136016	+	0.0821451i
$657$	−11.9787	−	24.2760i	−0.467335	−	0.947097i
$658$	−2.38701	+	3.43922i	−0.0930555	+	0.134075i
$659$	−17.7678	−	14.9089i	−0.692135	−	0.580770i	0.227389	−	0.973804i	$-0.426981\pi$
$659$	−17.7678	−	14.9089i	−0.692135	−	0.580770i	−0.919524	+	0.393034i	$0.871425\pi$
$660$	−7.81312	+	12.8030i	−0.304125	+	0.498356i
$661$	−3.73449	+	21.1793i	−0.145255	+	0.823780i	0.821908	+	0.569621i	$0.192910\pi$
$661$	−3.73449	+	21.1793i	−0.145255	+	0.823780i	−0.967162	+	0.254159i	$0.918201\pi$
$662$	5.81384	−	4.10686i	0.225961	−	0.159618i
$663$	−26.2104	+	3.74512i	−1.01793	+	0.145448i
$664$	−10.0422	−	9.79584i	−0.389713	−	0.380152i
$665$	−4.26290	−	4.60468i	−0.165308	−	0.178562i
$666$	−19.5694	−	15.5658i	−0.758300	−	0.603164i
$667$	15.2007	−	41.7636i	0.588573	−	1.61709i
$668$	−20.4405	−	11.5768i	−0.790865	−	0.447918i
$669$	12.5427	+	38.3026i	0.484930	+	1.48086i
$670$	−13.2566	+	28.7389i	−0.512148	+	1.11028i
$671$	36.3402	−	13.2267i	1.40290	−	0.510612i
$672$	7.47535	−	5.10269i	0.288368	−	0.196841i
$673$	−38.2242			−1.47343			−0.736717	−	0.676201i	$-0.763625\pi$
$673$	−38.2242			−1.47343			−0.736717	+	0.676201i	$0.763625\pi$
$674$	9.07589	+	33.3194i	0.349590	+	1.28342i
$675$	3.59416	−	12.8688i	0.138339	−	0.495318i
$676$	21.6404	+	57.9591i	0.832323	+	2.22920i
$677$	−1.55412	+	0.897270i	−0.0597296	+	0.0344849i	−0.529567	−	0.848268i	$-0.677646\pi$
$677$	−1.55412	+	0.897270i	−0.0597296	+	0.0344849i	0.469838	+	0.882753i	$0.344312\pi$
$678$	2.50703	−	8.39302i	0.0962818	−	0.322332i
$679$	−1.57004	+	4.31365i	−0.0602526	+	0.165543i
$680$	9.26570	+	4.18139i	0.355323	+	0.160349i
$681$	−11.1383	−	4.47039i	−0.426820	−	0.171306i
$682$	13.2263	−	9.34300i	0.506462	−	0.357762i
$683$	18.3934			0.703803			0.351901	−	0.936037i	$-0.385535\pi$
$683$	18.3934			0.703803			0.351901	+	0.936037i	$0.385535\pi$
$684$	−12.8907	−	22.7559i	−0.492888	−	0.870093i
$685$	−11.5634			−0.441814
$686$	−14.0277	+	9.90908i	−0.535580	+	0.378331i
$687$	−3.34154	+	2.62310i	−0.127488	+	0.100077i
$688$	20.9432	+	11.6336i	0.798452	+	0.443526i
$689$	−13.5259	+	37.1621i	−0.515295	+	1.41576i
$690$	34.2231	−	8.13348i	1.30285	−	0.309636i
$691$	−18.1198	+	10.4615i	−0.689309	+	0.397973i	−0.803353	−	0.595503i	$-0.796953\pi$
$691$	−18.1198	+	10.4615i	−0.689309	+	0.397973i	0.114044	+	0.993476i	$0.463619\pi$
$692$	3.16601	−	1.18210i	0.120354	−	0.0449369i
$693$	−5.32295	+	5.56306i	−0.202202	+	0.211323i
$694$	2.43342	+	8.93358i	0.0923714	+	0.339114i
$695$	−22.2293			−0.843206
$696$	5.65333	+	22.9415i	0.214289	+	0.869595i
$697$	−1.14005	+	0.414943i	−0.0431823	+	0.0157171i
$698$	17.3877	−	37.6946i	0.658135	−	1.42676i
$699$	30.5002	−	34.0310i	1.15362	−	1.28717i
$700$	2.34117	−	4.13367i	0.0884878	−	0.156238i
$701$	13.9837	−	38.4199i	0.528157	−	1.45110i	−0.333081	−	0.942898i	$-0.608088\pi$
$701$	13.9837	−	38.4199i	0.528157	−	1.45110i	0.861238	−	0.508201i	$-0.169689\pi$
$702$	8.76549	−	47.9123i	0.330832	−	1.80833i
$703$	−21.5962	+	13.9139i	−0.814517	+	0.524774i
$704$	−18.9669	+	11.5879i	−0.714842	+	0.436734i
$705$	3.22187	−	8.02752i	0.121343	−	0.302334i
$706$	−8.51397	+	6.01422i	−0.320427	+	0.226348i
$707$	2.95903	−	16.7815i	0.111286	−	0.631133i
$708$	−0.221812	+	9.11557i	−0.00833621	+	0.342584i
$709$	−3.73461	−	3.13371i	−0.140256	−	0.117689i	0.569960	−	0.821672i	$-0.306959\pi$
$709$	−3.73461	−	3.13371i	−0.140256	−	0.117689i	−0.710217	+	0.703983i	$0.751403\pi$
$710$	−11.5129	+	16.5878i	−0.432072	+	0.622531i
$711$	−2.06512	+	31.6221i	−0.0774481	+	1.18592i
$712$	−13.4352	+	1.34372i	−0.503504	+	0.0503581i
$713$	−37.4013	−	6.59486i	−1.40069	−	0.246979i
$714$	4.18770	+	3.11358i	0.156721	+	0.116523i
$715$			28.6987i			1.07327i
$716$	−36.3575	+	6.72160i	−1.35874	+	0.251198i
$717$	19.8134	+	7.95218i	0.739945	+	0.296980i
$718$	−0.0338636	−	0.124320i	−0.00126378	−	0.00463959i
$719$	8.79161	+	49.8597i	0.327872	+	1.85945i	0.488675	+	0.872466i	$0.337480\pi$
$719$	8.79161	+	49.8597i	0.327872	+	1.85945i	−0.160804	+	0.986986i	$0.551409\pi$
$720$	−12.7032	+	13.7241i	−0.473421	+	0.511466i
$721$	5.53114			0.205990
$722$	−26.3921	+	5.04537i	−0.982213	+	0.187769i
$723$	−13.9160	+	22.3846i	−0.517541	+	0.832492i
$724$	0.0369309	+	4.46110i	0.00137253	+	0.165796i
$725$	7.97168	+	9.50028i	0.296061	+	0.352831i
$726$	−5.84215	+	5.51864i	−0.216822	+	0.204816i
$727$	−7.02740	+	1.23912i	−0.260632	+	0.0459564i	−0.302437	−	0.953169i	$-0.597800\pi$
$727$	−7.02740	+	1.23912i	−0.260632	+	0.0459564i	0.0418052	+	0.999126i	$0.486689\pi$
$728$	7.12346	−	15.7851i	0.264013	−	0.585036i
$729$	−17.7879	+	20.3123i	−0.658813	+	0.752307i
$730$	8.47918	+	17.9889i	0.313828	+	0.665798i
$731$	−2.39857	+	13.6030i	−0.0887145	+	0.503125i
$732$	47.6750	−	7.21534i	1.76212	−	0.266687i
$733$	−17.3207	+	30.0003i	−0.639754	+	1.10809i	0.345733	+	0.938333i	$0.387630\pi$
$733$	−17.3207	+	30.0003i	−0.639754	+	1.10809i	−0.985487	+	0.169753i	$0.945703\pi$
$734$	44.1045	+	3.67476i	1.62793	+	0.135638i
$735$	11.0734	−	12.3553i	0.408449	−	0.455732i
$736$	50.6200	+	12.4468i	1.86588	+	0.458795i
$737$	25.6457	−	30.5634i	0.944673	−	1.12582i
$738$	−0.0584506	−	2.23111i	−0.00215160	−	0.0821282i
$739$	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	$0.0661836\pi$
$740$	14.1693	+	11.6910i	0.520875	+	0.429769i
$741$	−43.7359	−	24.3186i	−1.60668	−	0.893365i
$742$	7.05047	−	3.32329i	0.258831	−	0.122002i
$743$	4.45137	+	25.2450i	0.163305	+	0.926149i	0.950795	+	0.309821i	$0.100269\pi$
$743$	4.45137	+	25.2450i	0.163305	+	0.926149i	−0.787490	+	0.616328i	$0.788620\pi$
$744$	18.4673	−	8.16171i	0.677045	−	0.299223i
$745$	10.3773	−	3.77704i	0.380196	−	0.138380i
$746$	−9.70156	−	13.7339i	−0.355199	−	0.502835i
$747$	10.7510	+	10.2869i	0.393357	+	0.376380i
$748$	−9.88466	−	8.15573i	−0.361419	−	0.298203i
$749$			3.44798i			0.125987i
$750$	−8.27204	+	27.6931i	−0.302052	+	1.01121i
$751$	−2.01968	+	2.40696i	−0.0736992	+	0.0878313i	−0.801634	−	0.597815i	$-0.796036\pi$
$751$	−2.01968	+	2.40696i	−0.0736992	+	0.0878313i	0.727935	+	0.685646i	$0.240480\pi$
$752$	9.68167	−	8.40092i	0.353054	−	0.306350i
$753$	−14.8895	+	23.9506i	−0.542604	+	0.872808i
$754$	32.1001	+	31.8355i	1.16902	+	1.15938i
$755$	−17.2733	+	14.4940i	−0.628640	+	0.527492i
$756$	−7.87629	+	5.48837i	−0.286458	+	0.199610i
$757$	−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	$0.972529\pi$
$758$	11.0101	−	7.77747i	0.399905	−	0.282490i
$759$	−44.3208	−	1.44567i	−1.60874	−	0.0524745i
$760$	9.16904	+	16.8843i	0.332596	+	0.612459i
$761$	0.433654	−	0.250370i	0.0157199	−	0.00907591i	−0.492119	−	0.870528i	$-0.663778\pi$
$761$	0.433654	−	0.250370i	0.0157199	−	0.00907591i	0.507839	+	0.861452i	$0.330444\pi$
$762$	−34.6223	+	22.8023i	−1.25423	+	0.826040i
$763$	2.90661	−	7.98586i	0.105227	−	0.289107i
$764$	−4.76398	−	5.58297i	−0.172355	−	0.201985i
$765$	−9.87004	−	4.34014i	−0.356852	−	0.156918i
$766$	40.0488	+	10.5536i	1.44702	+	0.381316i
$767$	8.72349	+	15.1095i	0.314987	+	0.545574i
$768$	−26.0367	+	9.49152i	−0.939519	+	0.342496i
$769$	14.7811	+	12.4028i	0.533021	+	0.447258i	0.869143	−	0.494561i	$-0.164671\pi$
$769$	14.7811	+	12.4028i	0.533021	+	0.447258i	−0.336122	+	0.941818i	$0.609115\pi$
$770$	3.98303	−	4.01614i	0.143538	−	0.144732i
$771$	12.6989	+	7.89463i	0.457342	+	0.284318i
$772$	5.22664	+	13.9984i	0.188111	+	0.503814i
$773$	−11.9875	−	2.11372i	−0.431160	−	0.0760252i	−0.0461436	−	0.998935i	$-0.514693\pi$
$773$	−11.9875	−	2.11372i	−0.431160	−	0.0760252i	−0.385017	+	0.922910i	$0.625804\pi$
$774$	−22.3315	−	12.1247i	−0.802689	−	0.435812i
$775$	6.81198	−	8.11820i	0.244693	−	0.291614i
$776$	7.91836	−	11.6129i	0.284253	−	0.416878i
$777$	5.82272	+	7.41752i	0.208889	+	0.266102i
$778$	−5.45840	−	11.5802i	−0.195693	−	0.415170i
$779$	−2.19040	−	0.678346i	−0.0784791	−	0.0243043i
$780$	−7.06894	+	35.0772i	−0.253109	+	1.25597i
$781$	19.4991	−	16.3617i	0.697731	−	0.585466i
$782$	2.74334	+	29.9292i	0.0981017	+	1.07027i
$783$	−6.23044	−	24.2742i	−0.222658	−	0.867490i
$784$	22.9616	−	8.79051i	0.820057	−	0.313947i
$785$	9.49300	−	11.3133i	0.338820	−	0.403790i
$786$	−33.2785	−	24.7428i	−1.18701	−	0.882548i
$787$	3.10255	+	1.79126i	0.110594	+	0.0638514i	0.554277	−	0.832332i	$-0.312995\pi$
$787$	3.10255	+	1.79126i	0.110594	+	0.0638514i	−0.443683	+	0.896184i	$0.646328\pi$
$788$	15.3601	−	13.1069i	0.547182	−	0.466914i
$789$	8.15908	−	38.8243i	0.290471	−	1.38218i
$790$	1.93301	−	23.2000i	0.0687733	−	0.825418i
$791$	−1.65168	+	2.86080i	−0.0587270	+	0.101718i
$792$	19.9981	−	12.4841i	0.710601	−	0.443602i
$793$	70.6758	−	59.3040i	2.50977	−	2.10595i
$794$	3.21054	+	11.7865i	0.113938	+	0.418289i
$795$	−12.6680	+	9.94429i	−0.449286	+	0.352688i
$796$	13.8143	−	0.114361i	0.489636	−	0.00405342i
$797$	15.1583	−	8.75164i	0.536934	−	0.309999i	−0.206902	−	0.978362i	$-0.566338\pi$
$797$	15.1583	−	8.75164i	0.536934	−	0.309999i	0.743835	+	0.668363i	$0.233005\pi$
$798$	2.74534	+	9.47318i	0.0971840	+	0.335347i
$799$	6.40038	+	3.69526i	0.226429	+	0.130729i
$800$	−10.0704	+	10.4961i	−0.356044	+	0.371094i
$801$	14.2357	−	1.56247i	0.502995	−	0.0552072i
$802$	−3.82226	−	3.79075i	−0.134969	−	0.133856i
$803$	−4.35340	−	24.6894i	−0.153628	−	0.871270i
$804$	38.8740	−	31.0394i	1.37098	−	1.09468i
$805$	−13.2657			−0.467554
$806$	22.0276	−	31.7375i	0.775889	−	1.11790i
$807$	0.538097	+	1.64322i	0.0189419	+	0.0578442i
$808$	−21.4616	+	47.5575i	−0.755016	+	1.67307i
$809$	−8.50204	+	4.90866i	−0.298916	+	0.172579i	−0.641956	−	0.766742i	$-0.721877\pi$
$809$	−8.50204	+	4.90866i	−0.298916	+	0.172579i	0.343040	+	0.939321i	$0.388543\pi$
$810$	13.3329	−	14.6857i	0.468471	−	0.516004i
$811$	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	$0.457758\pi$
$812$	−0.0737625	−	8.91020i	−0.00258856	−	0.312687i
$813$	14.8194	−	16.5349i	0.519738	−	0.579904i
$814$	−13.3610	−	18.9144i	−0.468303	−	0.662948i
$815$	1.08067	+	6.12878i	0.0378542	+	0.214682i
$816$	−10.0727	−	12.4032i	−0.352616	−	0.434197i
$817$	−19.1577	+	17.7357i	−0.670244	+	0.620495i
$818$	1.30169	−	15.6229i	0.0455125	−	0.546241i
$819$	−7.39390	+	16.8147i	−0.258364	+	0.587553i
$820$	0.0135730	+	1.63957i	0.000473991	+	0.0572561i
$821$	−7.05670	−	19.3881i	−0.246280	−	0.676650i	−0.999815	−	0.0192414i	$-0.993875\pi$
$821$	−7.05670	−	19.3881i	−0.246280	−	0.676650i	0.753534	−	0.657408i	$-0.228347\pi$
$822$	16.2470	+	8.14693i	0.566680	+	0.284157i
$823$	−0.115935	−	0.318530i	−0.00404125	−	0.0111032i	0.937656	−	0.347566i	$-0.112992\pi$
$823$	−0.115935	−	0.318530i	−0.00404125	−	0.0111032i	−0.941697	+	0.336463i	$0.890769\pi$
$824$	−16.4118	−	4.17983i	−0.571734	−	0.145611i
$825$	6.53305	−	10.5088i	0.227452	−	0.365868i
$826$	0.876240	−	3.32516i	0.0304883	−	0.115697i
$827$	−35.6500	+	12.9755i	−1.23967	+	0.451204i	−0.876900	−	0.480674i	$-0.840392\pi$
$827$	−35.6500	+	12.9755i	−1.23967	+	0.451204i	−0.362773	+	0.931878i	$0.618170\pi$
$828$	−53.8153	−	12.6839i	−1.87021	−	0.440795i
$829$	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	$0.0683059\pi$
$830$	−7.76145	−	7.69746i	−0.269404	−	0.267183i
$831$	−2.20926	−	15.4616i	−0.0766383	−	0.536356i
$832$	−33.0652	+	41.4541i	−1.14633	+	1.43716i
$833$	9.11195	+	10.8592i	0.315710	+	0.376249i
$834$	31.2331	+	15.6616i	1.08151	+	0.542316i
$835$	−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
$839$	−28.2707	−	10.2897i	−0.976014	−	0.355240i	−0.195725	−	0.980659i	$-0.562706\pi$
$839$	−28.2707	−	10.2897i	−0.976014	−	0.355240i	−0.780289	+	0.625419i	$0.784928\pi$
$840$	5.85753	−	3.92768i	0.202104	−	0.135518i
$841$	−5.39256	−	1.96273i	−0.185950	−	0.0676804i
$842$	−4.87598	−	17.9007i	−0.168037	−	0.616898i
$843$	−26.8661	+	14.3643i	−0.925316	+	0.494732i
$844$	−6.70790	+	39.9747i	−0.230896	+	1.37599i
$845$	16.4878	+	45.3000i	0.567199	+	1.55837i
$846$	−10.1826	+	9.00905i	−0.350086	+	0.309738i
$847$	2.62470	−	1.51537i	0.0901857	−	0.0520687i
$848$	−23.4314	+	4.53279i	−0.804636	+	0.155657i
$849$	−11.5456	−	35.2577i	−0.396245	−	1.21004i
$850$	−7.61539	−	3.51281i	−0.261206	−	0.120489i
$851$	−9.43100	+	53.4859i	−0.323291	+	1.83347i
$852$	27.8630	−	15.1952i	0.954572	−	0.520581i
$853$	1.60492	−	1.34668i	0.0549512	−	0.0461096i	−0.614898	−	0.788606i	$-0.710803\pi$
$853$	1.60492	−	1.34668i	0.0549512	−	0.0461096i	0.669850	+	0.742497i	$0.266359\pi$
$854$	−18.1211	−	1.50984i	−0.620093	−	0.0516657i
$855$	−9.89734	−	17.8140i	−0.338482	−	0.609226i
$856$	2.60561	−	10.2308i	0.0890580	−	0.349681i
$857$	7.92959	+	9.45011i	0.270870	+	0.322810i	0.884282	−	0.466953i	$-0.154648\pi$
$857$	7.92959	+	9.45011i	0.270870	+	0.322810i	−0.613413	+	0.789763i	$0.710204\pi$
$858$	20.2196	−	40.3229i	0.690285	−	1.37660i
$859$	−2.75577	−	0.485916i	−0.0940256	−	0.0165793i	0.126437	−	0.991975i	$-0.459646\pi$
$859$	−2.75577	−	0.485916i	−0.0940256	−	0.0165793i	−0.220463	+	0.975395i	$0.570757\pi$
$860$	16.2434	+	9.19970i	0.553896	+	0.313707i
$861$	−0.173102	+	0.823691i	−0.00589930	+	0.0280713i
$862$	−45.4587	+	21.4273i	−1.54833	+	0.729815i
$863$	−9.44017	−	16.3509i	−0.321347	−	0.556589i	0.659419	−	0.751775i	$-0.270802\pi$
$863$	−9.44017	−	16.3509i	−0.321347	−	0.556589i	−0.980766	+	0.195186i	$0.937469\pi$
$864$	27.5178	−	10.3329i	0.936176	−	0.351532i
$865$	2.47450	−	0.900646i	0.0841356	−	0.0306229i
$866$	2.09800	−	25.1802i	0.0712929	−	0.855659i
$867$	−10.6822	+	17.1828i	−0.362785	+	0.583559i
$868$	−7.48735	+	1.38423i	−0.254137	+	0.0469837i
$869$	−10.0376	+	27.5780i	−0.340502	+	0.935521i
$870$	4.25696	+	17.9119i	0.144324	+	0.607272i
$871$	32.5548	−	89.4436i	1.10308	−	3.03068i
$872$	−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
$876$	0.760396	−	31.2491i	0.0256914	−	1.05581i
$877$	15.3021	−	12.8400i	0.516715	−	0.433576i	−0.346770	−	0.937950i	$-0.612721\pi$
$877$	15.3021	−	12.8400i	0.516715	−	0.433576i	0.863485	+	0.504375i	$0.168277\pi$
$878$	0.802815	−	3.04653i	0.0270937	−	0.102815i
$879$	11.3982	−	28.3995i	0.384453	−	0.957891i
$880$	−14.8533	+	8.90665i	−0.500705	+	0.300243i
$881$	19.9891	+	11.5407i	0.673451	+	0.388817i	0.797383	−	0.603473i	$-0.206217\pi$
$881$	19.9891	+	11.5407i	0.673451	+	0.388817i	−0.123932	+	0.992291i	$0.539550\pi$
$882$	−24.2635	+	9.55798i	−0.816994	+	0.321834i
$883$	−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	$-0.339059\pi$
$884$	−28.8144	−	10.2182i	−0.969132	−	0.343677i
$885$	−0.231629	+	7.10120i	−0.00778614	+	0.238704i
$886$	−0.223186	+	2.67868i	−0.00749807	+	0.0899919i
$887$	−1.92566	+	0.700882i	−0.0646572	+	0.0235333i	−0.374146	−	0.927370i	$-0.622064\pi$
$887$	−1.92566	+	0.700882i	−0.0646572	+	0.0235333i	0.309489	+	0.950903i	$0.399842\pi$
$888$	−11.6717	−	26.4093i	−0.391676	−	0.886237i
$889$	14.6913	−	5.34718i	0.492729	−	0.179339i
$890$	−10.4770	+	0.960334i	−0.351190	+	0.0321905i
$891$	−21.0826	+	13.4451i	−0.706293	+	0.450428i
$892$	−7.70173	+	45.8973i	−0.257873	+	1.53676i
$893$	5.41137	+	12.8777i	0.181085	+	0.430936i
$894$	−17.2417	−	2.00441i	−0.576649	−	0.0670375i
$895$	−28.3722	+	5.00279i	−0.948379	+	0.167225i
$896$	10.3805	−	1.21210i	0.346789	−	0.0404934i
$897$	−100.539	+	32.9229i	−3.35690	+	1.09926i
$898$	−2.27838	−	24.8566i	−0.0760304	−	0.829474i
$899$	3.45166	−	19.5754i	0.115119	−	0.652875i
$900$	10.5735	−	11.2352i	0.352451	−	0.374508i
$901$	−6.88000	−	11.9165i	−0.229206	−	0.396996i
$902$	0.526699	−	1.99872i	0.0175372	−	0.0665502i
$903$	7.13619	+	6.39580i	0.237477	+	0.212839i
$904$	7.06270	−	7.24032i	0.234902	−	0.240809i
$905$			3.47622i			0.115554i
$906$	34.4814	−	8.19488i	1.14557	−	0.272257i
$907$	−3.60942	+	0.636439i	−0.119849	+	0.0211326i	−0.233251	−	0.972417i	$-0.574936\pi$
$907$	−3.60942	+	0.636439i	−0.119849	+	0.0211326i	0.113402	+	0.993549i	$0.463825\pi$
$908$	−8.99572	−	10.5422i	−0.298533	−	0.349855i
$909$	22.2764	−	50.6594i	0.738861	−	1.68027i
$910$	5.65225	−	12.2535i	0.187370	−	0.406198i
$911$	10.1210	−	17.5300i	0.335322	−	0.580795i	−0.648225	−	0.761449i	$-0.724488\pi$
$911$	10.1210	−	17.5300i	0.335322	−	0.580795i	0.983547	+	0.180654i	$0.0578215\pi$
$912$	−0.987103	−	30.1832i	−0.0326862	−	0.999466i
$913$	6.89010	+	11.9340i	0.228029	+	0.394958i
$914$	−23.3905	+	2.14399i	−0.773688	+	0.0709170i
$915$	37.1938	−	5.31450i	1.22959	−	0.175692i
$916$	−4.82357	+	0.891759i	−0.159375	+	0.0294646i
$917$	10.0524	+	11.9800i	0.331959	+	0.395614i
$918$	10.8100	+	13.0520i	0.356783	+	0.430779i
$919$	−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	$0.826711\pi$
$920$	39.3616	+	10.0248i	1.29771	+	0.330507i
$921$	10.6086	+	32.3961i	0.349564	+	1.06749i
$922$	−28.3722	−	28.1383i	−0.934390	−	0.926686i
$923$	30.3631	−	52.5903i	0.999412	−	1.73103i
$924$	−8.42588	+	2.83662i	−0.277191	+	0.0933179i
$925$	−11.6095	−	9.74150i	−0.381717	−	0.320298i
$926$	−14.2668	+	10.0780i	−0.468837	+	0.331183i
$927$	17.4493	+	4.26545i	0.573110	+	0.140096i
$928$	−6.51449	+	26.4939i	−0.213849	+	0.869704i
$929$	30.3860	+	36.2126i	0.996931	+	1.18810i	0.982130	+	0.188206i	$0.0602673\pi$
$929$	30.3860	+	36.2126i	0.996931	+	1.18810i	0.0148019	+	0.999890i	$0.495288\pi$
$930$	14.4419	−	6.24029i	0.473570	−	0.204627i
$931$	1.30543	+	26.7610i	0.0427836	+	0.877055i
$932$	49.4349	−	18.4577i	1.61929	−	0.604601i
$933$	−2.40247	−	16.8138i	−0.0786534	−	0.550459i
$934$	6.61708	−	14.3451i	0.216517	−	0.469386i
$935$	−7.64928	−	6.41851i	−0.250158	−	0.209908i
$936$	34.6457	−	44.3046i	1.13243	−	1.44814i
$937$	−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	$0.818160\pi$
$938$	−16.9694	+	7.99866i	−0.554072	+	0.261165i
$939$	−39.0677	−	1.27432i	−1.27492	−	0.0415859i
$940$	7.59792	−	6.48334i	0.247817	−	0.211463i
$941$	18.5122	−	22.0620i	0.603482	−	0.719202i	−0.374655	−	0.927164i	$-0.622239\pi$
$941$	18.5122	−	22.0620i	0.603482	−	0.719202i	0.978137	+	0.207963i	$0.0666833\pi$
$942$	−21.3088	+	9.20743i	−0.694279	+	0.299994i
$943$	−4.19815	+	2.42380i	−0.136711	+	0.0789299i
$944$	−5.11275	+	9.20417i	−0.166406	+	0.299570i
$945$	−6.17242	+	4.22560i	−0.200789	+	0.137459i
$946$	−16.7091	−	16.5714i	−0.543260	−	0.538781i
$947$	37.6660	+	13.7093i	1.22398	+	0.445493i	0.871532	−	0.490339i	$-0.163127\pi$
$947$	37.6660	+	13.7093i	1.22398	+	0.445493i	0.352449	+	0.935831i	$0.385349\pi$
$948$	−19.0614	+	31.2351i	−0.619086	+	1.01447i
$949$	−29.9050	−	51.7971i	−0.970759	−	1.68140i
$950$	−7.44889	−	13.9917i	−0.241674	−	0.453951i
$951$	20.0627	+	12.4725i	0.650577	+	0.404448i
$952$	2.61416	+	5.42904i	0.0847254	+	0.175956i
$953$	25.0363	−	4.41458i	0.811006	−	0.143002i	0.247258	−	0.968950i	$-0.420470\pi$
$953$	25.0363	−	4.41458i	0.811006	−	0.143002i	0.563747	+	0.825947i	$0.309359\pi$
$954$	24.8052	−	5.04699i	0.803099	−	0.163402i
$955$	−3.67597	−	4.38085i	−0.118952	−	0.141761i
$956$	16.0021	+	18.7531i	0.517545	+	0.606517i
$957$	0.756645	−	23.1969i	0.0244589	−	0.749850i
$958$	−0.414340	−	0.287575i	−0.0133867	−	0.00929114i
$959$	−5.25065	−	4.40582i	−0.169552	−	0.142271i
$960$	−20.3484	+	7.22762i	−0.656742	+	0.233270i
$961$	14.0144			0.452076
$962$	−45.3863	−	31.5007i	−1.46331	−	1.01562i
$963$	−2.65898	+	10.8775i	−0.0856845	+	0.350522i
$964$	−26.2308	+	15.4353i	−0.844836	+	0.497136i
$965$	3.98218	+	10.9409i	0.128191	+	0.352201i
$966$	18.6389	+	9.34629i	0.599695	+	0.300712i
$967$	18.2647	−	3.22056i	0.587354	−	0.103566i	0.127929	−	0.991783i	$-0.459167\pi$
$967$	18.2647	−	3.22056i	0.587354	−	0.103566i	0.459424	+	0.888217i	$0.348056\pi$
$968$	−8.93309	+	2.51291i	−0.287120	+	0.0807679i
$969$	16.2634	−	6.21836i	0.522456	−	0.199762i
$970$	6.24471	−	8.99740i	0.200505	−	0.288889i
$971$	5.21874	+	1.89947i	0.167477	+	0.0609567i	0.424398	−	0.905476i	$-0.360486\pi$
$971$	5.21874	+	1.89947i	0.167477	+	0.0609567i	−0.256921	+	0.966432i	$0.582708\pi$
$972$	−29.0801	+	11.2404i	−0.932745	+	0.360537i
$973$	−10.0938	−	8.46969i	−0.323592	−	0.271526i
$974$	−0.945659	−	10.3169i	−0.0303009	−	0.330576i
$975$	6.07124	−	28.8895i	0.194435	−	0.925204i
$976$	52.6276	+	18.1739i	1.68457	+	0.581734i
$977$	24.3102	+	14.0355i	0.777754	+	0.449036i	0.835634	−	0.549287i	$-0.185101\pi$
$977$	24.3102	+	14.0355i	0.777754	+	0.449036i	−0.0578799	+	0.998324i	$0.518434\pi$
$978$	2.79962	−	9.37258i	0.0895221	−	0.299702i
$979$	13.0615	+	2.30310i	0.417448	+	0.0736073i
$980$	17.9478	−	6.70125i	0.573322	−	0.214063i
$981$	15.3281	−	22.9518i	0.489388	−	0.732795i
$982$	29.0459	+	7.65411i	0.926892	+	0.244253i
$983$	−4.70311	−	26.6727i	−0.150006	−	0.850726i	−0.963211	−	0.268748i	$-0.913390\pi$
$983$	−4.70311	−	26.6727i	−0.150006	−	0.850726i	0.813205	−	0.581978i	$-0.197721\pi$
$984$	1.13608	−	2.31322i	0.0362169	−	0.0737429i
$985$	12.0528	−	10.1135i	0.384034	−	0.322243i
$986$	−15.6646	+	1.43583i	−0.498862	+	0.0457262i
$987$	4.52158	−	2.41752i	0.143923	−	0.0769506i
$988$	−31.6968	−	48.3143i	−1.00841	−	1.53708i
$989$			55.1918i			1.75500i
$990$	15.6626	−	9.59828i	0.497789	−	0.305054i
$991$	−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	$0.501250\pi$
$992$	23.2623	+	1.55088i	0.738579	+	0.0492406i
$993$	−8.63018	+	1.23314i	−0.273871	+	0.0391325i
$994$	−11.5479	+	3.14555i	−0.366279	+	0.0997708i
$995$	10.7645			0.341259
$996$	5.48195	+	16.2836i	0.173702	+	0.515964i
$997$	4.31572	−	24.4757i	0.136680	−	0.775152i	−0.836995	−	0.547211i	$-0.815690\pi$
$997$	4.31572	−	24.4757i	0.136680	−	0.775152i	0.973675	−	0.227941i	$-0.0731993\pi$
$998$	19.8629	−	5.41045i	0.628748	−	0.171265i
$999$	12.6490	+	27.8907i	0.400197	+	0.882422i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
684.2.bs.a.23.4	✓	696	9.5	odd	6
684.2.bs.a.23.11	yes	696	36.23	even	6
684.2.bs.a.119.4	yes	696	76.43	odd	18
684.2.bs.a.119.11	yes	696	19.5	even	9
684.2.ch.a.347.30	yes	696	171.5	odd	18	inner
684.2.ch.a.347.37	yes	696	684.347	even	18	inner
684.2.ch.a.479.30	yes	696	4.3	odd	2	inner
684.2.ch.a.479.37	yes	696	1.1	even	1	trivial

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 $\F_{q}$
Belyi maps

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

\(f(q)\)	\(=\)	\(q+(-0.815948 - 1.15509i) q^{2} +(0.244999 + 1.71464i) q^{3} +(-0.668459 + 1.88498i) q^{4} +(-0.533006 + 1.46442i) q^{5} +(1.78065 - 1.68205i) q^{6} +(-0.799992 + 0.461876i) q^{7} +(2.72275 - 0.765918i) q^{8} +(-2.87995 + 0.840168i) q^{9} +(2.12644 - 0.579223i) q^{10} -2.77833 q^{11} +(-3.39583 - 0.684345i) q^{12} +(-6.22852 + 2.26699i) q^{13} +(1.18626 + 0.547195i) q^{14} +(-2.64154 - 0.555130i) q^{15} +(-3.10633 - 2.52007i) q^{16} +(0.788778 - 2.16715i) q^{17} +(3.32036 + 2.64107i) q^{18} +(3.66424 - 2.36079i) q^{19} +(-2.40412 - 1.98361i) q^{20} +(-0.987945 - 1.25854i) q^{21} +(2.26697 + 3.20921i) q^{22} +(1.60016 - 9.07498i) q^{23} +(1.98034 + 4.48088i) q^{24} +(1.96978 + 1.65285i) q^{25} +(7.70072 + 5.34474i) q^{26} +(-2.14617 - 4.73223i) q^{27} +(-0.335866 - 1.81672i) q^{28} +(4.74973 + 0.837506i) q^{29} +(1.51413 + 3.50417i) q^{30} -4.12136i q^{31} +(-0.376304 + 5.64432i) q^{32} +(-0.680687 - 4.76382i) q^{33} +(-3.14685 + 0.857172i) q^{34} +(-0.249980 - 1.41771i) q^{35} +(0.341427 - 5.99028i) q^{36} -5.89377 q^{37} +(-5.71675 - 2.30625i) q^{38} +(-5.41305 - 10.1242i) q^{39} +(-0.329615 + 4.39550i) q^{40} +(-0.338143 - 0.402983i) q^{41} +(-0.647608 + 2.16806i) q^{42} +(-5.89836 + 1.04004i) q^{43} +(1.85720 - 5.23710i) q^{44} +(0.304672 - 4.66528i) q^{45} +(-11.7881 + 5.55638i) q^{46} +(-0.556471 + 3.15590i) q^{47} +(3.55995 - 5.94363i) q^{48} +(-3.07334 + 5.32318i) q^{49} +(0.301942 - 3.62391i) q^{50} +(3.90912 + 0.821518i) q^{51} +(-0.109739 - 13.2560i) q^{52} +(3.83515 - 4.57056i) q^{53} +(-3.71498 + 6.34026i) q^{54} +(1.48086 - 4.06864i) q^{55} +(-1.82442 + 1.87030i) q^{56} +(4.94562 + 5.70445i) q^{57} +(-2.90814 - 6.16972i) q^{58} +(-0.457080 - 2.59223i) q^{59} +(2.81217 - 4.60817i) q^{60} +(-13.0799 + 4.76069i) q^{61} +(-4.76054 + 3.36282i) q^{62} +(1.91588 - 2.00231i) q^{63} +(6.82674 - 4.17081i) q^{64} -10.3295i q^{65} +(-4.94723 + 4.67328i) q^{66} +(-9.23065 + 11.0007i) q^{67} +(3.55777 + 2.93548i) q^{68} +(15.9523 + 0.520338i) q^{69} +(-1.43361 + 1.44553i) q^{70} +(-7.01828 + 5.88904i) q^{71} +(-7.19789 + 4.49337i) q^{72} +(1.56692 + 8.88643i) q^{73} +(4.80901 + 6.80783i) q^{74} +(-2.35143 + 3.78241i) q^{75} +(2.00065 + 8.48513i) q^{76} +(2.22264 - 1.28324i) q^{77} +(-7.27761 + 14.5134i) q^{78} +(3.61282 - 9.92613i) q^{79} +(5.34613 - 3.20576i) q^{80} +(7.58824 - 4.83928i) q^{81} +(-0.189574 + 0.719399i) q^{82} +(-2.47995 - 4.29539i) q^{83} +(3.03272 - 1.02098i) q^{84} +(2.75320 + 2.31021i) q^{85} +(6.01409 + 5.96451i) q^{86} +(-0.272339 + 8.34925i) q^{87} +(-7.56469 + 2.12797i) q^{88} +(-4.70122 - 0.828952i) q^{89} +(-5.63741 + 3.45470i) q^{90} +(3.93569 - 4.69038i) q^{91} +(16.0365 + 9.08254i) q^{92} +(7.06664 - 1.00973i) q^{93} +(4.09940 - 1.93228i) q^{94} +(1.50412 + 6.62432i) q^{95} +(-9.77015 + 0.737629i) q^{96} +(3.80678 - 3.19427i) q^{97} +(8.65644 - 0.793458i) q^{98} +(8.00144 - 2.33426i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 696 q - 9 q^{2} - 3 q^{4} - 18 q^{5} - 6 q^{6} - 12 q^{10} - 3 q^{12} - 6 q^{13} - 9 q^{14} - 3 q^{16} - 12 q^{18} - 18 q^{20} - 30 q^{21} - 27 q^{22} - 18 q^{24} - 6 q^{25} - 72 q^{26} - 18 q^{29} + 63 q^{30}+ \cdots - 45 q^{98}+O(q^{100}) \) 696 * q - 9 * q^2 - 3 * q^4 - 18 * q^5 - 6 * q^6 - 12 * q^10 - 3 * q^12 - 6 * q^13 - 9 * q^14 - 3 * q^16 - 12 * q^18 - 18 * q^20 - 30 * q^21 - 27 * q^22 - 18 * q^24 - 6 * q^25 - 72 * q^26 - 18 * q^29 + 63 * q^30 - 9 * q^32 - 60 * q^33 - 39 * q^34 - 66 * q^36 - 48 * q^37 - 9 * q^38 - 33 * q^40 - 18 * q^41 - 27 * q^42 - 135 * q^44 - 6 * q^45 - 6 * q^46 - 18 * q^48 + 282 * q^49 - 3 * q^52 + 15 * 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^66 - 9 * q^68 - 6 * q^69 - 45 * q^70 + 12 * q^72 + 12 * q^73 + 99 * q^74 - 3 * q^76 - 36 * q^77 + 69 * q^78 - 72 * q^81 - 12 * q^82 - 45 * q^84 - 6 * q^85 - 171 * q^86 - 45 * q^88 + 27 * q^90 - 9 * q^92 + 24 * q^93 - 6 * q^94 - 87 * q^96 - 42 * q^97 - 45 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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