LMFDB - Embedded newform 672.2.cf.a.187.45

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [672,2,Mod(19,672)]

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([12, 21, 0, 20]))

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

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

chi := DirichletCharacter("672.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 672 = 2^{5} \cdot 3 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	672.cf (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			187.45
Character	$\chi$	$=$	672.187
Dual form			672.2.cf.a.115.45

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.807232 + 1.16120i) q^{2} +(0.608761 - 0.793353i) q^{3} +(-0.696753 + 1.87471i) q^{4} +(-1.16491 - 1.51814i) q^{5} +(1.41265 + 0.0664712i) q^{6} +(-2.24504 - 1.39993i) q^{7} +(-2.73935 + 0.704258i) q^{8} +(-0.258819 - 0.965926i) q^{9} +O(q^{10})$	\(q+(0.807232 + 1.16120i) q^{2} +(0.608761 - 0.793353i) q^{3} +(-0.696753 + 1.87471i) q^{4} +(-1.16491 - 1.51814i) q^{5} +(1.41265 + 0.0664712i) q^{6} +(-2.24504 - 1.39993i) q^{7} +(-2.73935 + 0.704258i) q^{8} +(-0.258819 - 0.965926i) q^{9} +(0.822508 - 2.57818i) q^{10} +(-0.685979 - 5.21053i) q^{11} +(1.06315 + 1.69402i) q^{12} +(0.437347 + 1.05585i) q^{13} +(-0.186673 - 3.73700i) q^{14} -1.91358 q^{15} +(-3.02907 - 2.61242i) q^{16} +(0.928038 + 1.60741i) q^{17} +(0.912702 - 1.08027i) q^{18} +(0.853678 - 6.48433i) q^{19} +(3.65773 - 1.12610i) q^{20} +(-2.47733 + 0.928885i) q^{21} +(5.49670 - 5.00266i) q^{22} +(-1.60932 + 0.431217i) q^{23} +(-1.10888 + 2.60200i) q^{24} +(0.346357 - 1.29262i) q^{25} +(-0.873007 + 1.36016i) q^{26} +(-0.923880 - 0.382683i) q^{27} +(4.18870 - 3.23339i) q^{28} +(-1.11882 - 2.70107i) q^{29} +(-1.54470 - 2.22204i) q^{30} +(4.29210 + 7.43413i) q^{31} +(0.588368 - 5.62617i) q^{32} +(-4.55138 - 2.62774i) q^{33} +(-1.11738 + 2.37519i) q^{34} +(0.489978 + 5.03908i) q^{35} +(1.99116 + 0.187801i) q^{36} +(-2.79133 + 2.14186i) q^{37} +(8.21869 - 4.24307i) q^{38} +(1.10390 + 0.295789i) q^{39} +(4.26026 + 3.33832i) q^{40} +(-5.87510 - 5.87510i) q^{41} +(-3.07840 - 2.12684i) q^{42} +(-1.64819 - 0.682703i) q^{43} +(10.2462 + 2.34444i) q^{44} +(-1.16491 + 1.51814i) q^{45} +(-1.79982 - 1.52065i) q^{46} +(-0.0886328 - 0.0511722i) q^{47} +(-3.91655 + 0.812783i) q^{48} +(3.08039 + 6.28579i) q^{49} +(1.78058 - 0.641258i) q^{50} +(1.84020 + 0.242267i) q^{51} +(-2.28413 + 0.0842324i) q^{52} +(4.81250 - 0.633577i) q^{53} +(-0.301415 - 1.38172i) q^{54} +(-7.11122 + 7.11122i) q^{55} +(7.13585 + 2.25381i) q^{56} +(-4.62468 - 4.62468i) q^{57} +(2.23333 - 3.47957i) q^{58} +(0.411009 + 3.12192i) q^{59} +(1.33329 - 3.58740i) q^{60} +(-0.957949 + 7.27635i) q^{61} +(-5.16777 + 10.9850i) q^{62} +(-0.771170 + 2.53087i) q^{63} +(7.00804 - 3.85842i) q^{64} +(1.09346 - 1.89393i) q^{65} +(-0.622698 - 7.40625i) q^{66} +(-8.02820 - 6.16025i) q^{67} +(-3.66004 + 0.619835i) q^{68} +(-0.637587 + 1.53927i) q^{69} +(-5.45584 + 4.63667i) q^{70} +(6.41598 - 6.41598i) q^{71} +(1.38926 + 2.46373i) q^{72} +(-4.24299 + 15.8351i) q^{73} +(-4.74038 - 1.51230i) q^{74} +(-0.814658 - 1.06168i) q^{75} +(11.5614 + 6.11837i) q^{76} +(-5.75432 + 12.6581i) q^{77} +(0.547635 + 1.52062i) q^{78} +(5.92261 - 10.2583i) q^{79} +(-0.437425 + 7.64180i) q^{80} +(-0.866025 + 0.500000i) q^{81} +(2.07957 - 11.5647i) q^{82} +(6.78754 - 2.81149i) q^{83} +(-0.0153014 - 5.29148i) q^{84} +(1.35919 - 3.28139i) q^{85} +(-0.537720 - 2.46497i) q^{86} +(-2.82400 - 0.756689i) q^{87} +(5.54869 + 13.7903i) q^{88} +(-3.73199 - 13.9280i) q^{89} +(-2.70322 - 0.127198i) q^{90} +(0.496254 - 2.98267i) q^{91} +(0.312895 - 3.31746i) q^{92} +(8.51076 + 1.12046i) q^{93} +(-0.0121263 - 0.144228i) q^{94} +(-10.8386 + 6.25767i) q^{95} +(-4.10537 - 3.89178i) q^{96} +7.23473i q^{97} +(-4.81245 + 8.65103i) q^{98} +(-4.85544 + 2.01119i) 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} - 16 q^{22} - 16 q^{23} - 40 q^{28} + 48 q^{35} + 32 q^{43} + 8 q^{44} + 48 q^{50} - 72 q^{52} + 32 q^{53} + 32 q^{58} - 192 q^{59} - 48 q^{60} + 144 q^{64} - 144 q^{66} - 16 q^{67} - 72 q^{70} + 128 q^{71} + 32 q^{74} + 48 q^{78} - 72 q^{80} - 120 q^{82} + 88 q^{88} - 48 q^{91} + 128 q^{92} - 72 q^{94} - 120 q^{96} - 136 q^{98}+O(q^{100}) $ 512 * q + 64 * q^14 + 8 * q^16 - 8 * q^18 - 16 * q^22 - 16 * q^23 - 40 * q^28 + 48 * q^35 + 32 * q^43 + 8 * q^44 + 48 * q^50 - 72 * q^52 + 32 * q^53 + 32 * q^58 - 192 * q^59 - 48 * q^60 + 144 * q^64 - 144 * q^66 - 16 * q^67 - 72 * q^70 + 128 * q^71 + 32 * q^74 + 48 * q^78 - 72 * q^80 - 120 * q^82 + 88 * q^88 - 48 * q^91 + 128 * q^92 - 72 * q^94 - 120 * q^96 - 136 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$127$	$421$	$449$	$577$
$\chi(n)$	$-1$	$e\left(\frac{1}{8}\right)$	$1$	$e\left(\frac{5}{6}\right)$

Coefficient data

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

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

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

$2$	0.807232	+	1.16120i	0.570799	+	0.821090i
$2$	0.807232	+	1.16120i	0.570799	+	0.821090i
$3$	0.608761	−	0.793353i	0.351469	−	0.458043i
$3$	0.608761	−	0.793353i	0.351469	−	0.458043i
$4$	−0.696753	+	1.87471i	−0.348377	+	0.937355i
$5$	−1.16491	−	1.51814i	−0.520965	−	0.678934i	0.456575	−	0.889685i	$-0.349076\pi$
$5$	−1.16491	−	1.51814i	−0.520965	−	0.678934i	−0.977540	+	0.210751i	$0.932409\pi$
$6$	1.41265	+	0.0664712i	0.576712	+	0.0271368i
$7$	−2.24504	−	1.39993i	−0.848545	−	0.529124i
$7$	−2.24504	−	1.39993i	−0.848545	−	0.529124i
$8$	−2.73935	+	0.704258i	−0.968505	+	0.248993i
$9$	−0.258819	−	0.965926i	−0.0862730	−	0.321975i
$10$	0.822508	−	2.57818i	0.260100	−	0.815294i
$11$	−0.685979	−	5.21053i	−0.206830	−	1.57103i	−0.708334	−	0.705877i	$-0.750553\pi$
$11$	−0.685979	−	5.21053i	−0.206830	−	1.57103i	0.501504	−	0.865155i	$-0.332780\pi$
$12$	1.06315	+	1.69402i	0.306905	+	0.489022i
$13$	0.437347	+	1.05585i	0.121298	+	0.292840i	0.972852	−	0.231427i	$-0.0743395\pi$
$13$	0.437347	+	1.05585i	0.121298	+	0.292840i	−0.851554	+	0.524267i	$0.824339\pi$
$14$	−0.186673	−	3.73700i	−0.0498906	−	0.998755i
$15$	−1.91358			−0.494084
$16$	−3.02907	−	2.61242i	−0.757268	−	0.653105i
$17$	0.928038	+	1.60741i	0.225082	+	0.389854i	0.956344	−	0.292243i	$-0.0944015\pi$
$17$	0.928038	+	1.60741i	0.225082	+	0.389854i	−0.731262	+	0.682097i	$0.761068\pi$
$18$	0.912702	−	1.08027i	0.215126	−	0.254621i
$19$	0.853678	−	6.48433i	0.195847	−	1.48761i	−0.557606	−	0.830106i	$-0.688280\pi$
$19$	0.853678	−	6.48433i	0.195847	−	1.48761i	0.753453	−	0.657501i	$-0.228387\pi$
$20$	3.65773	−	1.12610i	0.817894	−	0.251804i
$21$	−2.47733	+	0.928885i	−0.540598	+	0.202699i
$22$	5.49670	−	5.00266i	1.17190	−	1.06657i
$23$	−1.60932	+	0.431217i	−0.335567	+	0.0899149i	−0.422668	−	0.906285i	$-0.638906\pi$
$23$	−1.60932	+	0.431217i	−0.335567	+	0.0899149i	0.0871010	+	0.996199i	$0.472240\pi$
$24$	−1.10888	+	2.60200i	−0.226350	+	0.531130i
$25$	0.346357	−	1.29262i	0.0692715	−	0.258525i
$26$	−0.873007	+	1.36016i	−0.171211	+	0.266749i
$27$	−0.923880	−	0.382683i	−0.177801	−	0.0736475i
$28$	4.18870	−	3.23339i	0.791590	−	0.611053i
$29$	−1.11882	−	2.70107i	−0.207760	−	0.501577i	0.785310	−	0.619103i	$-0.212504\pi$
$29$	−1.11882	−	2.70107i	−0.207760	−	0.501577i	−0.993070	+	0.117526i	$0.962504\pi$
$30$	−1.54470	−	2.22204i	−0.282022	−	0.405687i
$31$	4.29210	+	7.43413i	0.770883	+	1.33521i	0.937079	+	0.349116i	$0.113518\pi$
$31$	4.29210	+	7.43413i	0.770883	+	1.33521i	−0.166196	+	0.986093i	$0.553148\pi$
$32$	0.588368	−	5.62617i	0.104010	−	0.994576i
$33$	−4.55138	−	2.62774i	−0.792294	−	0.457431i
$34$	−1.11738	+	2.37519i	−0.191628	+	0.407341i
$35$	0.489978	+	5.03908i	0.0828215	+	0.851761i
$36$	1.99116	+	0.187801i	0.331861	+	0.0313002i
$37$	−2.79133	+	2.14186i	−0.458892	+	0.352120i	−0.812192	−	0.583390i	$-0.801726\pi$
$37$	−2.79133	+	2.14186i	−0.458892	+	0.352120i	0.353300	+	0.935510i	$0.385059\pi$
$38$	8.21869	−	4.24307i	1.33325	−	0.688317i
$39$	1.10390	+	0.295789i	0.176766	+	0.0473642i
$40$	4.26026	+	3.33832i	0.673607	+	0.527835i
$41$	−5.87510	−	5.87510i	−0.917536	−	0.917536i	0.0793135	−	0.996850i	$-0.474727\pi$
$41$	−5.87510	−	5.87510i	−0.917536	−	0.917536i	−0.996850	+	0.0793135i	$0.974727\pi$
$42$	−3.07840	−	2.12684i	−0.475007	−	0.328179i
$43$	−1.64819	−	0.682703i	−0.251347	−	0.104111i	0.253453	−	0.967348i	$-0.418434\pi$
$43$	−1.64819	−	0.682703i	−0.251347	−	0.104111i	−0.504800	+	0.863236i	$0.668434\pi$
$44$	10.2462	+	2.34444i	1.54467	+	0.353437i
$45$	−1.16491	+	1.51814i	−0.173655	+	0.226311i
$46$	−1.79982	−	1.52065i	−0.265370	−	0.224207i
$47$	−0.0886328	−	0.0511722i	−0.0129284	−	0.00746423i	0.493522	−	0.869733i	$-0.335709\pi$
$47$	−0.0886328	−	0.0511722i	−0.0129284	−	0.00746423i	−0.506450	+	0.862269i	$0.669043\pi$
$48$	−3.91655	+	0.812783i	−0.565306	+	0.117315i
$49$	3.08039	+	6.28579i	0.440056	+	0.897970i
$50$	1.78058	−	0.641258i	0.251812	−	0.0906876i
$51$	1.84020	+	0.242267i	0.257679	+	0.0339241i
$52$	−2.28413	+	0.0842324i	−0.316752	+	0.0116809i
$53$	4.81250	−	0.633577i	0.661047	−	0.0870285i	0.207464	−	0.978243i	$-0.433479\pi$
$53$	4.81250	−	0.633577i	0.661047	−	0.0870285i	0.453583	+	0.891214i	$0.350146\pi$
$54$	−0.301415	−	1.38172i	−0.0410173	−	0.188028i
$55$	−7.11122	+	7.11122i	−0.958876	+	0.958876i
$56$	7.13585	+	2.25381i	0.953568	+	0.301178i
$57$	−4.62468	−	4.62468i	−0.612553	−	0.612553i
$58$	2.23333	−	3.47957i	0.293250	−	0.456889i
$59$	0.411009	+	3.12192i	0.0535088	+	0.406439i	0.997148	+	0.0754649i	$0.0240441\pi$
$59$	0.411009	+	3.12192i	0.0535088	+	0.406439i	−0.943640	+	0.330974i	$0.892623\pi$
$60$	1.33329	−	3.58740i	0.172127	−	0.463132i
$61$	−0.957949	+	7.27635i	−0.122653	+	0.931641i	0.813873	+	0.581043i	$0.197355\pi$
$61$	−0.957949	+	7.27635i	−0.122653	+	0.931641i	−0.936526	+	0.350598i	$0.885978\pi$
$62$	−5.16777	+	10.9850i	−0.656307	+	1.39510i
$63$	−0.771170	+	2.53087i	−0.0971583	+	0.318860i
$64$	7.00804	−	3.85842i	0.876005	−	0.482302i
$65$	1.09346	−	1.89393i	0.135627	−	0.234913i
$66$	−0.622698	−	7.40625i	−0.0766488	−	0.911646i
$67$	−8.02820	−	6.16025i	−0.980800	−	0.752595i	−0.0118703	−	0.999930i	$-0.503779\pi$
$67$	−8.02820	−	6.16025i	−0.980800	−	0.752595i	−0.968930	+	0.247335i	$0.920445\pi$
$68$	−3.66004	+	0.619835i	−0.443845	+	0.0751660i
$69$	−0.637587	+	1.53927i	−0.0767564	+	0.185306i
$70$	−5.45584	+	4.63667i	−0.652097	+	0.554188i
$71$	6.41598	−	6.41598i	0.761437	−	0.761437i	−0.215145	−	0.976582i	$-0.569022\pi$
$71$	6.41598	−	6.41598i	0.761437	−	0.761437i	0.976582	+	0.215145i	$0.0690225\pi$
$72$	1.38926	+	2.46373i	0.163725	+	0.290353i
$73$	−4.24299	+	15.8351i	−0.496605	+	1.85335i	0.0242465	+	0.999706i	$0.492281\pi$
$73$	−4.24299	+	15.8351i	−0.496605	+	1.85335i	−0.520851	+	0.853648i	$0.674385\pi$
$74$	−4.74038	−	1.51230i	−0.551058	−	0.175802i
$75$	−0.814658	−	1.06168i	−0.0940686	−	0.122593i
$76$	11.5614	+	6.11837i	1.32619	+	0.701826i
$77$	−5.75432	+	12.6581i	−0.655766	+	1.44253i
$78$	0.547635	+	1.52062i	0.0620074	+	0.172176i
$79$	5.92261	−	10.2583i	0.666345	−	1.15414i	−0.312573	−	0.949894i	$-0.601191\pi$
$79$	5.92261	−	10.2583i	0.666345	−	1.15414i	0.978919	−	0.204250i	$-0.0654757\pi$
$80$	−0.437425	+	7.64180i	−0.0489056	+	0.854379i
$81$	−0.866025	+	0.500000i	−0.0962250	+	0.0555556i
$82$	2.07957	−	11.5647i	0.229651	−	1.27711i
$83$	6.78754	−	2.81149i	0.745029	−	0.308601i	0.0223177	−	0.999751i	$-0.492895\pi$
$83$	6.78754	−	2.81149i	0.745029	−	0.308601i	0.722712	+	0.691150i	$0.242895\pi$
$84$	−0.0153014	−	5.29148i	−0.00166952	−	0.577348i
$85$	1.35919	−	3.28139i	0.147425	−	0.355916i
$86$	−0.537720	−	2.46497i	−0.0579839	−	0.265805i
$87$	−2.82400	−	0.756689i	−0.302765	−	0.0811256i
$88$	5.54869	+	13.7903i	0.591492	+	1.47005i
$89$	−3.73199	−	13.9280i	−0.395590	−	1.47636i	−0.820773	−	0.571254i	$-0.806457\pi$
$89$	−3.73199	−	13.9280i	−0.395590	−	1.47636i	0.425184	−	0.905107i	$-0.360209\pi$
$90$	−2.70322	−	0.127198i	−0.284944	−	0.0134078i
$91$	0.496254	−	2.98267i	0.0520215	−	0.312669i
$92$	0.312895	−	3.31746i	0.0326215	−	0.345870i
$93$	8.51076	+	1.12046i	0.882524	+	0.116187i
$94$	−0.0121263	−	0.144228i	−0.00125073	−	0.0148760i
$95$	−10.8386	+	6.25767i	−1.11202	+	0.642023i
$96$	−4.10537	−	3.89178i	−0.419002	−	0.397203i
$97$			7.23473i			0.734576i	0.930107	+	0.367288i	$0.119714\pi$
$97$			7.23473i			0.734576i	−0.930107	+	0.367288i	$0.880286\pi$
$98$	−4.81245	+	8.65103i	−0.486130	+	0.873886i
$99$	−4.85544	+	2.01119i	−0.487990	+	0.202132i
$100$	2.18197	+	1.54996i	0.218197	+	0.154996i
$101$	7.47319	−	0.983864i	0.743610	−	0.0978981i	0.250805	−	0.968038i	$-0.419305\pi$
$101$	7.47319	−	0.983864i	0.743610	−	0.0978981i	0.492805	+	0.870140i	$0.335971\pi$
$102$	1.20415	+	2.33240i	0.119228	+	0.230942i
$103$	−2.47801	+	0.663980i	−0.244165	+	0.0654239i	−0.378826	−	0.925468i	$-0.623672\pi$
$103$	−2.47801	+	0.663980i	−0.244165	+	0.0654239i	0.134661	+	0.990892i	$0.457006\pi$
$104$	−1.94163	−	2.58433i	−0.190393	−	0.253414i
$105$	4.29605	+	2.67887i	0.419252	+	0.261431i
$106$	4.62051	+	5.07681i	0.448783	+	0.493103i
$107$	14.2167	−	10.9089i	1.37438	−	1.05460i	0.382981	−	0.923756i	$-0.374897\pi$
$107$	14.2167	−	10.9089i	1.37438	−	1.05460i	0.991403	−	0.130846i	$-0.0417692\pi$
$108$	1.36114	−	1.46537i	0.130975	−	0.141005i
$109$	11.5399	+	8.85485i	1.10532	+	0.848141i	0.989414	−	0.145119i	$-0.0463566\pi$
$109$	11.5399	+	8.85485i	1.10532	+	0.848141i	0.115905	+	0.993260i	$0.463023\pi$
$110$	−13.9979	−	2.51712i	−1.33465	−	0.239998i
$111$			3.51840i			0.333951i
$112$	3.14318	+	10.1055i	0.297002	+	0.954877i
$113$			1.15975i			0.109100i	0.998511	+	0.0545501i	$0.0173725\pi$
$113$			1.15975i			0.109100i	−0.998511	+	0.0545501i	$0.982628\pi$
$114$	1.63697	−	9.10335i	0.153316	−	0.852606i
$115$	2.52937	+	1.94085i	0.235865	+	0.180985i
$116$	5.84327	−	0.215484i	0.542534	−	0.0200071i
$117$	0.906678	−	0.695718i	0.0838224	−	0.0643192i
$118$	−3.29338	+	2.99738i	−0.303180	+	0.275931i
$119$	0.166779	−	4.90788i	0.0152886	−	0.449905i
$120$	5.24195	−	1.34765i	0.478523	−	0.123023i
$121$	−16.0538	+	4.30161i	−1.45944	+	0.391055i
$122$	−9.22255	+	4.76133i	−0.834971	+	0.431071i
$123$	−8.23756	+	1.08450i	−0.742756	+	0.0977857i
$124$	−16.9274	+	2.86668i	−1.52012	+	0.257436i
$125$	−11.2054	+	4.64144i	−1.00224	+	0.415143i
$126$	−3.56135	+	1.14752i	−0.317270	+	0.102229i
$127$			13.3941i			1.18853i	0.804269	+	0.594266i	$0.202557\pi$
$127$			13.3941i			1.18853i	−0.804269	+	0.594266i	$0.797443\pi$
$128$	10.1375	+	5.02307i	0.896036	+	0.443981i
$129$	−1.54498	+	0.891994i	−0.136028	+	0.0785357i
$130$	3.08189	−	0.259118i	0.270300	−	0.0227261i
$131$	13.8998	+	1.82994i	1.21443	+	0.159882i	0.710395	−	0.703803i	$-0.248516\pi$
$131$	13.8998	+	1.82994i	1.21443	+	0.159882i	0.504032	+	0.863685i	$0.331849\pi$
$132$	8.09745	−	6.70164i	0.704792	−	0.583303i
$133$	−10.9941	+	13.3625i	−0.953313	+	1.15867i
$134$	0.672644	−	14.2951i	0.0581076	−	1.23491i
$135$	0.495270	+	1.84837i	0.0426261	+	0.159083i
$136$	−3.67425	−	3.74967i	−0.315064	−	0.321532i
$137$	−5.48000	−	1.46836i	−0.468188	−	0.125451i	0.0170093	−	0.999855i	$-0.494585\pi$
$137$	−5.48000	−	1.46836i	−0.468188	−	0.125451i	−0.485197	+	0.874405i	$0.661252\pi$
$138$	−2.30207	+	0.502185i	−0.195966	+	0.0427488i
$139$	1.06772	−	2.57770i	0.0905626	−	0.218637i	−0.872108	−	0.489314i	$-0.837247\pi$
$139$	1.06772	−	2.57770i	0.0905626	−	0.218637i	0.962670	+	0.270676i	$0.0872473\pi$
$140$	−9.78821	−	2.59243i	−0.827255	−	0.219100i
$141$	−0.0945538	+	0.0391655i	−0.00796287	+	0.00329833i
$142$	12.6294	+	2.27103i	1.05984	+	0.190580i
$143$	5.20151	−	3.00310i	0.434972	−	0.251131i
$144$	−1.73942	+	3.60200i	−0.144952	+	0.300167i
$145$	−2.79729	+	4.84505i	−0.232302	+	0.402359i
$146$	−21.8127	+	7.85562i	−1.80523	+	0.650136i
$147$	6.86208	+	1.38271i	0.565975	+	0.114044i
$148$	−2.07050	−	6.72529i	−0.170194	−	0.552815i
$149$	−9.54710	−	12.4420i	−0.782129	−	1.01929i	−0.999071	−	0.0431060i	$-0.986275\pi$
$149$	−9.54710	−	12.4420i	−0.782129	−	1.01929i	0.216941	−	0.976185i	$-0.430392\pi$
$150$	0.575204	−	1.80300i	0.0469652	−	0.147214i
$151$	−1.81372	+	6.76891i	−0.147599	+	0.550846i	0.852027	+	0.523497i	$0.175373\pi$
$151$	−1.81372	+	6.76891i	−0.147599	+	0.550846i	−0.999626	+	0.0273484i	$0.991294\pi$
$152$	2.22812	+	18.3640i	0.180725	+	1.48952i
$153$	1.31244	−	1.31244i	0.106105	−	0.106105i
$154$	−19.3437	+	3.53617i	−1.55876	+	0.284952i
$155$	6.28616	−	15.1761i	0.504916	−	1.21898i
$156$	−1.32367	+	1.86340i	−0.105978	+	0.149191i
$157$	−3.79325	−	2.91066i	−0.302734	−	0.232296i	0.446211	−	0.894928i	$-0.352773\pi$
$157$	−3.79325	−	2.91066i	−0.302734	−	0.232296i	−0.748946	+	0.662631i	$0.769440\pi$
$158$	16.6928	−	1.40348i	1.32801	−	0.111655i
$159$	2.42701	−	4.20371i	0.192475	−	0.333376i
$160$	−9.22673	+	5.66077i	−0.729437	+	0.447523i
$161$	4.21667	+	1.28484i	0.332320	+	0.101260i
$162$	−1.27968	−	0.602009i	−0.100541	−	0.0472983i
$163$	2.85749	−	21.7048i	0.223816	−	1.70005i	−0.398407	−	0.917209i	$-0.630437\pi$
$163$	2.85749	−	21.7048i	0.223816	−	1.70005i	0.622223	−	0.782840i	$-0.286230\pi$
$164$	15.1076	−	6.92061i	1.17970	−	0.540409i
$165$	1.31267	+	9.97074i	0.102191	+	0.776221i
$166$	8.74381	+	5.61214i	0.678651	+	0.435587i
$167$	−3.08373	−	3.08373i	−0.238626	−	0.238626i	0.577655	−	0.816281i	$-0.303968\pi$
$167$	−3.08373	−	3.08373i	−0.238626	−	0.238626i	−0.816281	+	0.577655i	$0.803968\pi$
$168$	6.13210	−	4.28922i	0.473101	−	0.330921i
$169$	8.26884	−	8.26884i	0.636065	−	0.636065i
$170$	4.90752	−	1.07055i	0.376389	−	0.0821073i
$171$	−6.48433	+	0.853678i	−0.495869	+	0.0652824i
$172$	2.42825	−	2.61420i	0.185152	−	0.199331i
$173$	3.46581	+	0.456282i	0.263500	+	0.0346905i	0.261119	−	0.965307i	$-0.415909\pi$
$173$	3.46581	+	0.456282i	0.263500	+	0.0346905i	0.00238164	+	0.999997i	$0.499242\pi$
$174$	−1.40096	−	3.89004i	−0.106207	−	0.294904i
$175$	−2.58717	+	2.41711i	−0.195571	+	0.182717i
$176$	−11.5342	+	17.5751i	−0.869423	+	1.32477i
$177$	2.72699	+	1.57443i	0.204973	+	0.118341i
$178$	13.1605	−	15.5767i	0.986422	−	1.16752i
$179$	−1.36622	+	1.78049i	−0.102116	+	0.133080i	−0.841616	−	0.540077i	$-0.818395\pi$
$179$	−1.36622	+	1.78049i	−0.102116	+	0.133080i	0.739500	+	0.673156i	$0.235062\pi$
$180$	−2.03442	−	3.24164i	−0.151637	−	0.241618i
$181$	12.4082	+	5.13966i	0.922297	+	0.382028i	0.792751	−	0.609545i	$-0.208648\pi$
$181$	12.4082	+	5.13966i	0.922297	+	0.382028i	0.129546	+	0.991573i	$0.458648\pi$
$182$	3.86406	−	1.83146i	0.286423	−	0.135757i
$183$	5.18955	+	5.18955i	0.383623	+	0.383623i
$184$	4.10481	−	2.31463i	0.302610	−	0.170637i
$185$	6.50331	+	1.74256i	0.478133	+	0.128115i
$186$	5.56908	+	10.7871i	0.408345	+	0.790951i
$187$	7.73883	−	5.93822i	0.565920	−	0.434245i
$188$	0.157688	−	0.130506i	0.0115006	−	0.00951815i
$189$	1.53841	+	2.15251i	0.111903	+	0.156572i
$190$	−16.0156	−	7.53435i	−1.16190	−	0.546599i
$191$	−21.8708	−	12.6271i	−1.58252	−	0.913667i	−0.994491	−	0.104826i	$-0.966572\pi$
$191$	−21.8708	−	12.6271i	−1.58252	−	0.913667i	−0.588027	−	0.808841i	$-0.700095\pi$
$192$	1.20514	−	7.90871i	0.0869733	−	0.570762i
$193$	2.83018	+	4.90202i	0.203721	+	0.352855i	0.949724	−	0.313087i	$-0.101363\pi$
$193$	2.83018	+	4.90202i	0.203721	+	0.352855i	−0.746003	+	0.665942i	$0.768030\pi$
$194$	−8.40095	+	5.84011i	−0.603153	+	0.419295i
$195$	−0.836897	−	2.02045i	−0.0599314	−	0.144687i
$196$	−13.9303	+	1.39520i	−0.995022	+	0.0996569i
$197$	−7.34367	−	3.04185i	−0.523215	−	0.216723i	0.105413	−	0.994428i	$-0.466383\pi$
$197$	−7.34367	−	3.04185i	−0.523215	−	0.216723i	−0.628629	+	0.777706i	$0.716383\pi$
$198$	−6.25485	−	4.01462i	−0.444513	−	0.285307i
$199$	5.89986	−	22.0186i	0.418230	−	1.56086i	−0.360046	−	0.932935i	$-0.617239\pi$
$199$	5.89986	−	22.0186i	0.418230	−	1.56086i	0.778276	−	0.627922i	$-0.216094\pi$
$200$	−0.0384521	+	3.78487i	−0.00271898	+	0.267631i
$201$	−9.77451	+	2.61907i	−0.689441	+	0.184735i
$202$	7.17506	+	7.88363i	0.504835	+	0.554690i
$203$	−1.26952	+	7.63029i	−0.0891027	+	0.535541i
$204$	−1.73634	+	3.28104i	−0.121568	+	0.229718i
$205$	−2.07527	+	15.7632i	−0.144943	+	1.10095i
$206$	−2.77134	−	2.34147i	−0.193088	−	0.163138i
$207$	0.833047	+	1.44288i	0.0579008	+	0.100287i
$208$	1.43356	−	4.34077i	0.0993998	−	0.300978i
$209$	−34.3724			−2.37759
$210$	0.357214	+	7.15103i	0.0246501	+	0.493468i
$211$	7.62127	+	18.3994i	0.524670	+	1.26667i	0.934974	+	0.354717i	$0.115423\pi$
$211$	7.62127	+	18.3994i	0.524670	+	1.26667i	−0.410304	+	0.911949i	$0.634577\pi$
$212$	−2.16535	+	9.46348i	−0.148717	+	0.649954i
$213$	−1.18434	−	8.99594i	−0.0811495	−	0.616392i
$214$	24.1436	+	7.70242i	1.65042	+	0.526527i
$215$	0.883557	+	3.29748i	0.0602581	+	0.224886i
$216$	2.80033	+	0.397653i	0.190539	+	0.0270568i
$217$	0.771339	−	22.6985i	0.0523619	−	1.54088i
$218$	−0.966870	+	20.5480i	−0.0654847	+	1.39168i
$219$	9.97983	+	13.0060i	0.674374	+	0.878862i
$220$	−8.37670	−	18.2862i	−0.564757	−	1.23286i
$221$	−1.29131	+	1.68286i	−0.0868627	+	0.113202i
$222$	−4.08555	+	2.84016i	−0.274204	+	0.190619i
$223$	−1.66656			−0.111601			−0.0558007	−	0.998442i	$-0.517771\pi$
$223$	−1.66656			−0.111601			−0.0558007	+	0.998442i	$0.517771\pi$
$224$	−9.19716	+	11.8073i	−0.614511	+	0.788908i
$225$	−1.33822			−0.0892148
$226$	−1.34670	+	0.936188i	−0.0895810	+	0.0622743i
$227$	6.54802	−	8.53355i	0.434607	−	0.566391i	−0.523783	−	0.851852i	$-0.675480\pi$
$227$	6.54802	−	8.53355i	0.434607	−	0.566391i	0.958391	+	0.285460i	$0.0921465\pi$
$228$	11.8922	−	5.44767i	0.787579	−	0.360781i
$229$	−7.34910	−	9.57754i	−0.485642	−	0.632901i	0.484687	−	0.874688i	$-0.338933\pi$
$229$	−7.34910	−	9.57754i	−0.485642	−	0.632901i	−0.970330	+	0.241786i	$0.922267\pi$
$230$	−0.211924	+	4.50381i	−0.0139738	+	0.296973i
$231$	6.53938	+	12.2710i	0.430259	+	0.807373i
$232$	4.96710	+	6.61124i	0.326106	+	0.434049i
$233$	1.04808	+	3.91150i	0.0686622	+	0.256251i	0.991722	−	0.128407i	$-0.0409862\pi$
$233$	1.04808	+	3.91150i	0.0686622	+	0.256251i	−0.923059	+	0.384657i	$0.874320\pi$
$234$	1.53976	+	0.491225i	0.100658	+	0.0321124i
$235$	0.0255627	+	0.194168i	0.00166753	+	0.0126661i
$236$	−6.13906	−	1.40469i	−0.399619	−	0.0914373i
$237$	−4.53297	−	10.9436i	−0.294448	−	0.710860i
$238$	5.83365	−	3.76814i	0.378139	−	0.244252i
$239$	−26.7888			−1.73282			−0.866410	−	0.499333i	$-0.833579\pi$
$239$	−26.7888			−1.73282			−0.866410	+	0.499333i	$0.833579\pi$
$240$	5.79636	+	4.99907i	0.374153	+	0.322688i
$241$	9.73278	+	16.8577i	0.626943	+	1.08590i	0.988162	+	0.153416i	$0.0490276\pi$
$241$	9.73278	+	16.8577i	0.626943	+	1.08590i	−0.361218	+	0.932481i	$0.617639\pi$
$242$	−17.9542	−	15.1692i	−1.15414	−	0.975116i
$243$	−0.130526	+	0.991445i	−0.00837326	+	0.0636012i
$244$	−12.9736	−	6.86569i	−0.830549	−	0.439531i
$245$	5.95434	−	11.9989i	0.380409	−	0.766580i
$246$	−7.90894	−	8.68999i	−0.504255	−	0.554053i
$247$	7.21982	−	1.93455i	0.459386	−	0.123092i
$248$	−16.9931	−	17.3419i	−1.07906	−	1.10121i
$249$	1.90149	−	7.09645i	0.120502	−	0.449719i
$250$	−14.4350	−	9.26499i	−0.912950	−	0.585969i
$251$	20.4098	+	8.45403i	1.28826	+	0.533614i	0.918466	−	0.395501i	$-0.129429\pi$
$251$	20.4098	+	8.45403i	1.28826	+	0.533614i	0.369792	+	0.929115i	$0.379429\pi$
$252$	−4.20733	−	3.20911i	−0.265037	−	0.202155i
$253$	3.35083	+	8.08961i	0.210665	+	0.508590i
$254$	−15.5531	+	10.8121i	−0.975891	+	0.678413i
$255$	−1.77587	−	3.07590i	−0.111209	−	0.192620i
$256$	2.35053	+	15.8264i	0.146908	+	0.989150i
$257$	3.75538	+	2.16817i	0.234254	+	0.135247i	0.612533	−	0.790445i	$-0.290151\pi$
$257$	3.75538	+	2.16817i	0.234254	+	0.135247i	−0.378279	+	0.925692i	$0.623484\pi$
$258$	−2.28294	−	1.07398i	−0.142129	−	0.0668629i
$259$	9.26510	−	0.900898i	0.575706	−	0.0559791i
$260$	2.78869	+	3.36951i	0.172947	+	0.208968i
$261$	−2.31947	+	1.77979i	−0.143571	+	0.110166i
$262$	9.09541	+	17.6175i	0.561916	+	1.08841i
$263$	14.2877	+	3.82839i	0.881019	+	0.236068i	0.670847	−	0.741596i	$-0.265931\pi$
$263$	14.2877	+	3.82839i	0.881019	+	0.236068i	0.210172	+	0.977664i	$0.432597\pi$
$264$	14.3184	+	3.99295i	0.881239	+	0.245749i
$265$	−6.56799	−	6.56799i	−0.403469	−	0.403469i
$266$	−24.3913	−	1.97974i	−1.49553	−	0.121386i
$267$	−13.3217	−	5.51802i	−0.815274	−	0.337697i
$268$	17.1424	−	10.7584i	1.04714	−	0.657172i
$269$	−6.48990	+	8.45780i	−0.395696	+	0.515681i	−0.948133	−	0.317873i	$-0.897031\pi$
$269$	−6.48990	+	8.45780i	−0.395696	+	0.515681i	0.552437	+	0.833555i	$0.313698\pi$
$270$	−1.74653	+	2.06717i	−0.106290	+	0.125804i
$271$	−12.9571	−	7.48076i	−0.787085	−	0.454424i	0.0518505	−	0.998655i	$-0.483488\pi$
$271$	−12.9571	−	7.48076i	−0.787085	−	0.454424i	−0.838935	+	0.544231i	$0.816821\pi$
$272$	1.38813	−	7.29338i	0.0841680	−	0.442226i
$273$	−2.06421	−	2.20944i	−0.124932	−	0.133721i
$274$	−2.71857	−	7.54866i	−0.164235	−	0.456031i
$275$	−6.97284	−	0.917992i	−0.420478	−	0.0553570i
$276$	−2.44144	−	2.26778i	−0.146958	−	0.136504i
$277$	1.07276	−	0.141232i	0.0644560	−	0.00848579i	−0.0982292	−	0.995164i	$-0.531318\pi$
$277$	1.07276	−	0.141232i	0.0644560	−	0.00848579i	0.162685	+	0.986678i	$0.447985\pi$
$278$	3.85511	−	0.840971i	0.231214	−	0.0504381i
$279$	6.06994	−	6.06994i	0.363398	−	0.363398i
$280$	−4.89104	−	13.4587i	−0.292295	−	0.804313i
$281$	11.2117	+	11.2117i	0.668834	+	0.668834i	0.957446	−	0.288612i	$-0.0931938\pi$
$281$	11.2117	+	11.2117i	0.668834	+	0.668834i	−0.288612	+	0.957446i	$0.593194\pi$
$282$	−0.121806	−	0.0781799i	−0.00725342	−	0.00465555i
$283$	0.783299	+	5.94975i	0.0465623	+	0.353676i	0.998828	+	0.0484048i	$0.0154138\pi$
$283$	0.783299	+	5.94975i	0.0465623	+	0.353676i	−0.952265	+	0.305271i	$0.901253\pi$
$284$	7.55775	+	16.4985i	0.448470	+	0.979003i
$285$	−1.63358	+	12.4083i	−0.0967649	+	0.735002i
$286$	7.68601	+	3.61578i	0.454483	+	0.213806i
$287$	4.96509	+	21.4145i	0.293080	+	1.26406i
$288$	−5.58675	+	0.887840i	−0.329202	+	0.0523165i
$289$	6.77749	−	11.7390i	0.398676	−	0.690527i
$290$	−7.88411	+	0.662875i	−0.462971	+	0.0389254i
$291$	5.73970	+	4.40423i	0.336467	+	0.258180i
$292$	−26.7298	−	18.9875i	−1.56424	−	1.11116i
$293$	4.43548	−	10.7082i	0.259123	−	0.625579i	−0.739758	−	0.672873i	$-0.765060\pi$
$293$	4.43548	−	10.7082i	0.259123	−	0.625579i	0.998881	+	0.0472944i	$0.0150599\pi$
$294$	3.93369	+	9.08438i	0.229418	+	0.529812i
$295$	4.26073	−	4.26073i	0.248069	−	0.248069i
$296$	6.13800	−	7.83313i	0.356764	−	0.455291i
$297$	−1.36022	+	5.07641i	−0.0789280	+	0.294563i
$298$	6.74091	−	21.1297i	0.390490	−	1.22401i
$299$	−1.15913	−	1.51061i	−0.0670343	−	0.0873608i
$300$	2.55796	−	0.787516i	0.147684	−	0.0454673i
$301$	2.74451	+	3.84005i	0.158191	+	0.221337i
$302$	−9.32412	+	3.35799i	−0.536543	+	0.193231i
$303$	3.76884	−	6.52782i	0.216514	−	0.375013i
$304$	−19.5256	+	17.4113i	−1.11987	+	0.998608i
$305$	12.1625	−	7.02200i	0.696421	−	0.402079i
$306$	2.58345	+	0.464558i	0.147686	+	0.0265570i
$307$	27.1332	−	11.2389i	1.54857	−	0.641439i	0.565515	−	0.824738i	$-0.308678\pi$
$307$	27.1332	−	11.2389i	1.54857	−	0.641439i	0.983057	+	0.183299i	$0.0586776\pi$
$308$	−19.7210	−	19.6073i	−1.12371	−	1.11723i
$309$	−0.981744	+	2.37014i	−0.0558495	+	0.134833i
$310$	22.6968	−	4.95119i	1.28909	−	0.281209i
$311$	18.0788	+	4.84419i	1.02515	+	0.274689i	0.731948	−	0.681361i	$-0.238612\pi$
$311$	18.0788	+	4.84419i	1.02515	+	0.274689i	0.293205	+	0.956050i	$0.405278\pi$
$312$	−3.23228	−	0.0328381i	−0.182992	−	0.00185909i
$313$	−0.618356	−	2.30774i	−0.0349516	−	0.130441i	0.946246	−	0.323449i	$-0.104842\pi$
$313$	−0.618356	−	2.30774i	−0.0349516	−	0.130441i	−0.981197	+	0.193008i	$0.938176\pi$
$314$	0.317818	−	6.75429i	0.0179355	−	0.381166i
$315$	4.74057	−	1.77749i	0.267101	−	0.100150i
$316$	15.1047	+	18.2506i	0.849703	+	1.02668i
$317$	19.6536	+	2.58745i	1.10386	+	0.145326i	0.660359	−	0.750950i	$-0.270404\pi$
$317$	19.6536	+	2.58745i	1.10386	+	0.145326i	0.443498	+	0.896275i	$0.353737\pi$
$318$	6.84049	−	0.575130i	0.383596	−	0.0322517i
$319$	−13.3065	+	7.68253i	−0.745023	+	0.430139i
$320$	−14.0214	−	6.14449i	−0.783819	−	0.343488i
$321$		−	17.9198i		−	1.00019i
$322$	1.91187	+	5.93354i	0.106545	+	0.330663i
$323$	11.2152	−	4.64550i	0.624031	−	0.258482i
$324$	−0.333949	−	1.97192i	−0.0185527	−	0.109551i
$325$	1.51629	−	0.199624i	0.0841088	−	0.0110731i
$326$	27.5102	−	14.2027i	1.52365	−	0.786614i
$327$	14.0501	−	3.76470i	0.776970	−	0.208188i
$328$	20.2315	+	11.9563i	1.11710	+	0.660179i
$329$	0.127347	+	0.238963i	0.00702084	+	0.0131745i
$330$	−10.5184	+	9.57297i	−0.579016	+	0.526975i
$331$	−2.62108	+	2.01123i	−0.144068	+	0.110547i	−0.678281	−	0.734803i	$-0.737275\pi$
$331$	−2.62108	+	2.01123i	−0.144068	+	0.110547i	0.534213	+	0.845350i	$0.320608\pi$
$332$	0.541489	+	14.6836i	0.0297181	+	0.805866i
$333$	2.79133	+	2.14186i	0.152964	+	0.117373i
$334$	1.09153	−	6.07011i	0.0597259	−	0.332141i
$335$			19.3641i			1.05797i
$336$	9.93065	+	3.65817i	0.541761	+	0.199570i
$337$		−	30.6757i		−	1.67101i	−0.549482	−	0.835506i	$-0.685175\pi$
$337$		−	30.6757i		−	1.67101i	0.549482	−	0.835506i	$-0.314825\pi$
$338$	16.2766	+	2.92687i	0.885332	+	0.159201i
$339$	0.920092	+	0.706011i	0.0499725	+	0.0383453i
$340$	5.20462	+	4.83441i	0.282260	+	0.262183i
$341$	35.7914	−	27.4637i	1.93821	−	1.48724i
$342$	−6.22564	−	6.84046i	−0.336644	−	0.369890i
$343$	1.88407	−	18.4242i	0.101730	−	0.994812i
$344$	4.99577	+	0.709408i	0.269354	+	0.0382487i
$345$	3.07956	−	0.825167i	0.165798	−	0.0444255i
$346$	2.26788	+	4.39281i	0.121922	+	0.236159i
$347$	1.11048	−	0.146197i	0.0596134	−	0.00784826i	−0.100660	−	0.994921i	$-0.532096\pi$
$347$	1.11048	−	0.146197i	0.0596134	−	0.00784826i	0.160274	+	0.987073i	$0.448762\pi$
$348$	3.38620	−	4.76696i	0.181520	−	0.255536i
$349$	−4.92049	+	2.03813i	−0.263388	+	0.109099i	−0.510469	−	0.859896i	$-0.670528\pi$
$349$	−4.92049	+	2.03813i	−0.263388	+	0.109099i	0.247082	+	0.968995i	$0.420528\pi$
$350$	−4.89519	−	1.05304i	−0.261659	−	0.0562873i
$351$		−	1.14284i		−	0.0610004i
$352$	−29.7189	+	0.793726i	−1.58402	+	0.0423057i
$353$	16.8101	−	9.70530i	0.894710	−	0.516561i	0.0192296	−	0.999815i	$-0.493879\pi$
$353$	16.8101	−	9.70530i	0.894710	−	0.516561i	0.875480	+	0.483254i	$0.160545\pi$
$354$	0.373094	+	4.43750i	0.0198297	+	0.235851i
$355$	−17.2144	−	2.26632i	−0.913647	−	0.120284i
$356$	28.7112	+	2.70796i	1.52169	+	0.143522i
$357$	−3.79216	−	3.12005i	−0.200702	−	0.165130i
$358$	−3.17035	−	0.149178i	−0.167558	−	0.00788432i
$359$	−9.44450	−	35.2474i	−0.498462	−	1.86028i	−0.509707	−	0.860348i	$-0.670246\pi$
$359$	−9.44450	−	35.2474i	−0.498462	−	1.86028i	0.0112455	−	0.999937i	$-0.496420\pi$
$360$	2.12193	−	4.97912i	0.111836	−	0.262423i
$361$	−22.9652	−	6.15350i	−1.20869	−	0.323868i
$362$	4.04817	+	18.5573i	0.212767	+	0.975350i
$363$	−6.36025	+	15.3550i	−0.333827	+	0.805929i
$364$	5.24588	+	3.00852i	0.274959	+	0.157689i
$365$	28.9826	−	12.0050i	1.51702	−	0.628370i
$366$	−1.83692	+	10.2153i	−0.0960171	+	0.533960i
$367$	−7.12681	+	4.11466i	−0.372016	+	0.214784i	−0.674339	−	0.738422i	$-0.735571\pi$
$367$	−7.12681	+	4.11466i	−0.372016	+	0.214784i	0.302323	+	0.953206i	$0.402238\pi$
$368$	6.00127	+	2.89804i	0.312838	+	0.151071i
$369$	−4.15432	+	7.19550i	−0.216265	+	0.374583i
$370$	3.22623	+	8.95827i	0.167724	+	0.465718i
$371$	−11.6912	−	5.31475i	−0.606977	−	0.275928i
$372$	−8.03044	+	15.1745i	−0.416359	+	0.786762i
$373$	14.5638	+	18.9799i	0.754086	+	0.982743i	0.999910	+	0.0134291i	$0.00427473\pi$
$373$	14.5638	+	18.9799i	0.754086	+	0.982743i	−0.245824	+	0.969314i	$0.579059\pi$
$374$	13.1425	+	4.19279i	0.679581	+	0.216804i
$375$	−3.13913	+	11.7154i	−0.162104	+	0.604981i
$376$	0.278834	+	0.0777579i	0.0143798	+	0.00401006i
$377$	2.36261	−	2.36261i	0.121681	−	0.121681i
$378$	−1.25762	+	3.52397i	−0.0646852	+	0.181254i
$379$	13.7804	−	33.2689i	0.707853	−	1.70891i	0.00255730	−	0.999997i	$-0.499186\pi$
$379$	13.7804	−	33.2689i	0.707853	−	1.70891i	0.705296	−	0.708913i	$-0.250814\pi$
$380$	−4.17948	−	24.6793i	−0.214403	−	1.26602i
$381$	10.6262	+	8.15380i	0.544398	+	0.417732i
$382$	−2.99226	−	35.5893i	−0.153097	−	1.82091i
$383$	−4.24340	+	7.34978i	−0.216828	+	0.375556i	−0.953836	−	0.300327i	$-0.902904\pi$
$383$	−4.24340	+	7.34978i	−0.216828	+	0.375556i	0.737009	+	0.675883i	$0.236238\pi$
$384$	10.1564	−	4.98476i	0.518291	−	0.254377i
$385$	25.9202	−	6.00975i	1.32101	−	0.306285i
$386$	−3.40759	+	7.24347i	−0.173442	+	0.368683i
$387$	−0.232857	+	1.76873i	−0.0118368	+	0.0899094i
$388$	−13.5630	−	5.04082i	−0.688558	−	0.255909i
$389$	1.10643	+	8.40420i	0.0560984	+	0.426110i	0.996331	+	0.0855780i	$0.0272737\pi$
$389$	1.10643	+	8.40420i	0.0560984	+	0.426110i	−0.940233	+	0.340532i	$0.889393\pi$
$390$	1.67057	−	2.60277i	0.0845924	−	0.131796i
$391$	−2.18666	−	2.18666i	−0.110584	−	0.110584i
$392$	−12.8651	−	15.0496i	−0.649785	−	0.760118i
$393$	9.91342	−	9.91342i	0.500066	−	0.500066i
$394$	−2.39586	−	10.9829i	−0.120702	−	0.553312i
$395$	−22.4728	+	2.95860i	−1.13073	+	0.148863i
$396$	−0.387352	−	10.5038i	−0.0194652	−	0.527837i
$397$	−13.0748	−	1.72132i	−0.656203	−	0.0863908i	−0.204930	−	0.978777i	$-0.565697\pi$
$397$	−13.0748	−	1.72132i	−0.656203	−	0.0863908i	−0.451273	+	0.892386i	$0.649030\pi$
$398$	30.3305	−	10.9232i	1.52033	−	0.547531i
$399$	3.90835	+	16.8568i	0.195662	+	0.843896i
$400$	−4.42601	+	3.01062i	−0.221301	+	0.150531i
$401$	−3.85536	−	2.22589i	−0.192528	−	0.111156i	0.400638	−	0.916237i	$-0.368789\pi$
$401$	−3.85536	−	2.22589i	−0.192528	−	0.111156i	−0.593165	+	0.805081i	$0.702122\pi$
$402$	−10.9316	−	9.23593i	−0.545217	−	0.460646i
$403$	−5.97218	+	7.78310i	−0.297495	+	0.387704i
$404$	−3.36251	+	14.6956i	−0.167291	+	0.731132i
$405$	1.76791	+	0.732294i	0.0878484	+	0.0363880i
$406$	−9.88506	+	4.68525i	−0.490587	+	0.232525i
$407$	13.0750	+	13.0750i	0.648105	+	0.648105i
$408$	−5.21156	+	0.632322i	−0.258011	+	0.0313046i
$409$	−38.7886	−	10.3934i	−1.91797	−	0.513919i	−0.989956	−	0.141375i	$-0.954848\pi$
$409$	−38.7886	−	10.3934i	−1.91797	−	0.513919i	−0.928015	−	0.372544i	$-0.878486\pi$
$410$	−19.9794	+	10.3148i	−0.986712	+	0.509411i
$411$	−4.50094	+	3.45369i	−0.222015	+	0.170358i
$412$	0.481790	−	5.10817i	0.0237361	−	0.251662i
$413$	3.44774	−	7.58421i	0.169652	−	0.373195i
$414$	−1.00300	+	2.13207i	−0.0492950	+	0.104786i
$415$	−12.1751	−	7.02932i	−0.597654	−	0.345056i
$416$	6.19771	−	1.83936i	0.303868	−	0.0901821i
$417$	−1.39504	−	2.41628i	−0.0683154	−	0.118326i
$418$	−27.7465	−	39.9131i	−1.35712	−	1.95221i
$419$	7.99709	+	19.3067i	0.390684	+	0.943193i	0.989791	+	0.142525i	$0.0455221\pi$
$419$	7.99709	+	19.3067i	0.390684	+	0.943193i	−0.599108	+	0.800668i	$0.704478\pi$
$420$	−8.01540	+	6.18734i	−0.391111	+	0.301911i
$421$	14.0323	+	5.81236i	0.683891	+	0.283277i	0.697453	−	0.716631i	$-0.254317\pi$
$421$	14.0323	+	5.81236i	0.683891	+	0.283277i	−0.0135612	+	0.999908i	$0.504317\pi$
$422$	−15.2132	+	23.7024i	−0.740565	+	1.15381i
$423$	−0.0264887	+	0.0988570i	−0.00128792	+	0.00480659i
$424$	−12.7369	+	5.12483i	−0.618558	+	0.248884i
$425$	2.39921	−	0.642866i	0.116379	−	0.0311836i
$426$	9.49002	−	8.63706i	0.459793	−	0.418467i
$427$	12.3370	−	14.9946i	0.597030	−	0.725640i
$428$	10.5454	+	34.2530i	0.509733	+	1.65568i
$429$	0.783965	−	5.95481i	0.0378502	−	0.287501i
$430$	−3.11578	+	3.68781i	−0.150256	+	0.177842i
$431$	−16.6033	−	28.7578i	−0.799754	−	1.38521i	−0.919776	−	0.392443i	$-0.871630\pi$
$431$	−16.6033	−	28.7578i	−0.799754	−	1.38521i	0.120023	−	0.992771i	$-0.461703\pi$
$432$	1.79877	+	3.57274i	0.0865432	+	0.171893i
$433$	32.0719			1.54128			0.770638	−	0.637273i	$-0.219938\pi$
$433$	32.0719			1.54128			0.770638	+	0.637273i	$0.219938\pi$
$434$	26.9801	−	17.4273i	1.29509	−	0.836538i
$435$	2.14095	+	5.16872i	0.102651	+	0.247821i
$436$	−24.6407	+	15.4643i	−1.18008	+	0.740603i
$437$	1.42231	+	10.8035i	0.0680382	+	0.516802i
$438$	−7.04644	+	22.0874i	−0.336692	+	1.05538i
$439$	5.71561	+	21.3309i	0.272791	+	1.01807i	0.957307	+	0.289073i	$0.0933469\pi$
$439$	5.71561	+	21.3309i	0.272791	+	1.01807i	−0.684516	+	0.728998i	$0.739986\pi$
$440$	14.4720	−	24.4882i	0.689923	−	1.16743i
$441$	5.27434	−	4.60231i	0.251159	−	0.219158i
$442$	−2.99652	−	0.140999i	−0.142530	−	0.00670664i
$443$	−1.32783	−	1.73046i	−0.0630870	−	0.0822165i	0.760744	−	0.649052i	$-0.224834\pi$
$443$	−1.32783	−	1.73046i	−0.0630870	−	0.0822165i	−0.823831	+	0.566835i	$0.808168\pi$
$444$	−6.59597	−	2.45145i	−0.313031	−	0.116341i
$445$	−16.7972	+	21.8905i	−0.796264	+	1.03771i
$446$	−1.34530	−	1.93521i	−0.0637020	−	0.0916347i
$447$	−15.6828			−0.741773
$448$	−21.1348	−	1.14847i	−0.998527	−	0.0542603i
$449$	21.2593			1.00329			0.501645	−	0.865074i	$-0.332728\pi$
$449$	21.2593			1.00329			0.501645	+	0.865074i	$0.332728\pi$
$450$	−1.08026	−	1.55394i	−0.0509237	−	0.0732533i
$451$	−26.5822	+	34.6425i	−1.25170	+	1.63125i
$452$	−2.17420	−	0.808060i	−0.102266	−	0.0380079i
$453$	4.26601	+	5.55957i	0.200435	+	0.261211i
$454$	15.1949	+	0.714985i	0.713132	+	0.0335559i
$455$	−5.10622	+	2.72117i	−0.239383	+	0.127570i
$456$	15.9256	+	9.41163i	0.745783	+	0.440740i
$457$	2.47547	+	9.23857i	0.115797	+	0.432162i	0.999345	−	0.0361788i	$-0.0115186\pi$
$457$	2.47547	+	9.23857i	0.115797	+	0.432162i	−0.883548	+	0.468341i	$0.844852\pi$
$458$	5.18897	−	16.2650i	0.242465	−	0.760016i
$459$	−0.242267	−	1.84020i	−0.0113080	−	0.0858931i
$460$	−5.40088	+	3.38954i	−0.251817	+	0.158038i
$461$	−5.21529	−	12.5908i	−0.242900	−	0.586413i	0.754668	−	0.656107i	$-0.227798\pi$
$461$	−5.21529	−	12.5908i	−0.242900	−	0.586413i	−0.997568	+	0.0696936i	$0.977798\pi$
$462$	−8.97025	+	17.4990i	−0.417334	+	0.814129i
$463$	5.08522			0.236330			0.118165	−	0.992994i	$-0.462299\pi$
$463$	5.08522			0.236330			0.118165	+	0.992994i	$0.462299\pi$
$464$	−3.66735	+	11.1046i	−0.170252	+	0.515517i
$465$	−8.21326	−	14.2258i	−0.380881	−	0.659705i
$466$	−3.69597	+	4.37452i	−0.171213	+	0.202646i
$467$	−0.803252	+	6.10130i	−0.0371701	+	0.282335i	0.962758	+	0.270364i	$0.0871439\pi$
$467$	−0.803252	+	6.10130i	−0.0371701	+	0.282335i	−0.999928	+	0.0119710i	$0.996189\pi$
$468$	0.672539	+	2.18450i	0.0310881	+	0.100979i
$469$	9.39969	+	25.0689i	0.434037	+	1.15757i
$470$	−0.204832	+	0.186422i	−0.00944822	+	0.00859902i
$471$	−4.61837	+	1.23749i	−0.212803	+	0.0570204i
$472$	−3.32453	−	8.26256i	−0.153024	−	0.380315i
$473$	−2.42662	+	9.05626i	−0.111576	+	0.416407i
$474$	9.04845	−	14.0976i	0.415609	−	0.647526i
$475$	−8.08611	−	3.34938i	−0.371016	−	0.153680i
$476$	9.08465	+	3.73225i	0.416394	+	0.171067i
$477$	−1.85755	−	4.48453i	−0.0850515	−	0.205333i
$478$	−21.6247	−	31.1070i	−0.989093	−	1.42280i
$479$	13.1053	+	22.6991i	0.598798	+	1.03715i	0.992999	+	0.118124i	$0.0376881\pi$
$479$	13.1053	+	22.6991i	0.598798	+	1.03715i	−0.394201	+	0.919024i	$0.628979\pi$
$480$	−1.12589	+	10.7661i	−0.0513895	+	0.491404i
$481$	−3.48226	−	2.01049i	−0.158778	−	0.0916703i
$482$	−11.7184	+	24.9097i	−0.533761	+	1.13461i
$483$	3.58628	−	2.56314i	0.163181	−	0.116627i
$484$	3.12128	−	33.0934i	0.141877	−	1.50425i
$485$	10.9834	−	8.42783i	0.498729	−	0.382688i
$486$	−1.25663	+	0.648759i	−0.0570018	+	0.0294283i
$487$	26.5334	+	7.10962i	1.20235	+	0.322167i	0.803754	−	0.594961i	$-0.202833\pi$
$487$	26.5334	+	7.10962i	1.20235	+	0.322167i	0.398591	+	0.917129i	$0.369499\pi$
$488$	−2.50027	−	20.6071i	−0.113182	−	0.932839i
$489$	−15.4800	−	15.4800i	−0.700031	−	0.700031i
$490$	18.7396	−	2.77171i	0.846568	−	0.125213i
$491$	−30.4918	−	12.6301i	−1.37608	−	0.569989i	−0.432646	−	0.901564i	$-0.642420\pi$
$491$	−30.4918	−	12.6301i	−1.37608	−	0.569989i	−0.943429	+	0.331575i	$0.892420\pi$
$492$	3.70643	−	16.1987i	0.167099	−	0.730292i
$493$	3.30342	−	4.30511i	0.148779	−	0.193892i
$494$	8.07446	+	6.82200i	0.363287	+	0.306936i
$495$	8.70943	+	5.02839i	0.391460	+	0.226009i
$496$	6.42000	−	33.7313i	0.288266	−	1.51458i
$497$	−23.3860	+	5.42220i	−1.04901	+	0.243219i
$498$	9.77531	−	3.52048i	0.438042	−	0.157756i
$499$	−4.72040	−	0.621453i	−0.211314	−	0.0278200i	0.0241258	−	0.999709i	$-0.492320\pi$
$499$	−4.72040	−	0.621453i	−0.211314	−	0.0278200i	−0.235440	+	0.971889i	$0.575653\pi$
$500$	−0.893936	−	24.2409i	−0.0399780	−	1.08409i
$501$	−4.32375	+	0.569232i	−0.193171	+	0.0254314i
$502$	6.65868	+	30.5242i	0.297192	+	1.36236i
$503$	−23.9622	+	23.9622i	−1.06842	+	1.06842i	−0.0709389	+	0.997481i	$0.522600\pi$
$503$	−23.9622	+	23.9622i	−1.06842	+	1.06842i	−0.997481	+	0.0709389i	$0.977400\pi$
$504$	0.330116	−	7.47603i	0.0147045	−	0.333009i
$505$	−10.1993	−	10.1993i	−0.453861	−	0.453861i
$506$	−6.68873	+	10.4212i	−0.297350	+	0.463277i
$507$	−1.52636	−	11.5939i	−0.0677881	−	0.514902i
$508$	−25.1100	−	9.33236i	−1.11408	−	0.414057i
$509$	1.32130	−	10.0363i	0.0585657	−	0.444850i	−0.936890	−	0.349624i	$-0.886309\pi$
$509$	1.32130	−	10.0363i	0.0585657	−	0.444850i	0.995456	−	0.0952262i	$-0.0303574\pi$
$510$	2.13818	−	4.54510i	0.0946804	−	0.201261i
$511$	31.6937	−	29.6104i	1.40204	−	1.30989i
$512$	−16.4801	+	15.5050i	−0.728326	+	0.685231i
$513$	−3.27014	+	5.66405i	−0.144380	+	0.250074i
$514$	0.513792	+	6.11095i	0.0226624	+	0.269542i
$515$	3.89468	+	2.98849i	0.171620	+	0.131689i
$516$	−0.595761	−	3.51789i	−0.0262269	−	0.154866i
$517$	−0.205834	+	0.496926i	−0.00905255	+	0.0218548i
$518$	8.52521	+	10.0314i	0.374576	+	0.440753i
$519$	2.47184	−	2.47184i	0.108502	−	0.108502i
$520$	−1.66155	+	5.95820i	−0.0728637	+	0.261284i
$521$	−7.26165	+	27.1008i	−0.318139	+	1.18731i	0.602893	+	0.797822i	$0.294015\pi$
$521$	−7.26165	+	27.1008i	−0.318139	+	1.18731i	−0.921032	+	0.389488i	$0.872652\pi$
$522$	−3.93903	−	1.25665i	−0.172407	−	0.0550022i
$523$	−23.8955	−	31.1412i	−1.04488	−	1.36171i	−0.929681	−	0.368365i	$-0.879918\pi$
$523$	−23.8955	−	31.1412i	−1.04488	−	1.36171i	−0.115194	−	0.993343i	$-0.536749\pi$
$524$	−13.1153	+	24.7830i	−0.572944	+	1.08265i
$525$	0.342657	+	3.52398i	0.0149548	+	0.153799i
$526$	7.08801	+	19.6813i	0.309052	+	0.858144i
$527$	−7.96646	+	13.7983i	−0.347025	+	0.601064i
$528$	6.92170	+	19.8497i	0.301228	+	0.863849i
$529$	−17.5146	+	10.1121i	−0.761505	+	0.439655i
$530$	2.32483	−	12.9286i	0.100984	−	0.561584i
$531$	2.90917	−	1.20502i	0.126247	−	0.0522932i
$532$	−17.3906	−	29.9212i	−0.753976	−	1.29725i
$533$	3.63376	−	8.77267i	0.157396	−	0.379986i
$534$	−4.34618	−	19.9234i	−0.188078	−	0.862170i
$535$	−33.1225	−	8.87515i	−1.43201	−	0.383706i
$536$	26.3304	+	11.2211i	1.13730	+	0.484679i
$537$	0.580856	+	2.16778i	0.0250658	+	0.0935467i
$538$	−15.0600	−	0.708638i	−0.649284	−	0.0305516i
$539$	30.6392	−	20.3624i	1.31972	−	0.877070i
$540$	−3.81024	−	0.359372i	−0.163967	−	0.0154649i
$541$	19.3240	+	2.54405i	0.830804	+	0.109377i	0.533919	−	0.845536i	$-0.320719\pi$
$541$	19.3240	+	2.54405i	0.830804	+	0.109377i	0.296885	+	0.954913i	$0.404052\pi$
$542$	−1.77272	−	21.0844i	−0.0761448	−	0.905652i
$543$	11.6312	−	6.71529i	0.499144	−	0.288181i
$544$	9.58959	−	4.27556i	0.411150	−	0.183313i
$545$		−	27.8343i		−	1.19229i
$546$	0.899295	−	4.18049i	0.0384863	−	0.178908i
$547$	−30.3367	+	12.5659i	−1.29710	+	0.537278i	−0.921095	−	0.389339i	$-0.872704\pi$
$547$	−30.3367	+	12.5659i	−1.29710	+	0.537278i	−0.376008	+	0.926616i	$0.622704\pi$
$548$	6.57096	−	9.25032i	0.280697	−	0.395154i
$549$	7.27635	−	0.957949i	0.310547	−	0.0408843i
$550$	−4.56273	−	8.83787i	−0.194555	−	0.376848i
$551$	−18.4698	+	4.94896i	−0.786839	+	0.210833i
$552$	0.662527	−	4.66562i	0.0281990	−	0.198582i
$553$	−27.6573	+	14.7389i	−1.17611	+	0.626764i
$554$	1.02997	+	1.13168i	0.0437590	+	0.0480805i
$555$	5.34143	−	4.09862i	0.226731	−	0.173977i
$556$	4.08850	+	3.79768i	0.173391	+	0.161057i
$557$	−30.4352	−	23.3537i	−1.28958	−	0.989529i	−0.999471	−	0.0325352i	$-0.989642\pi$
$557$	−30.4352	−	23.3537i	−1.28958	−	0.989529i	−0.290109	−	0.956994i	$-0.593691\pi$
$558$	11.9482	+	2.14854i	0.505810	+	0.0909550i
$559$		−	2.03882i		−	0.0862328i
$560$	11.6800	−	16.5438i	0.493571	−	0.699102i
$561$		−	9.75459i		−	0.411839i
$562$	−3.96854	+	22.0694i	−0.167403	+	0.930943i
$563$	17.1996	+	13.1977i	0.724877	+	0.556218i	0.903960	−	0.427616i	$-0.140646\pi$
$563$	17.1996	+	13.1977i	0.724877	+	0.556218i	−0.179083	+	0.983834i	$0.557313\pi$
$564$	−0.00754322	−	0.204550i	−0.000317627	−	0.00861309i
$565$	1.76067	−	1.35101i	0.0740718	−	0.0568373i
$566$	−6.27652	+	5.71239i	−0.263822	+	0.240110i
$567$	2.64423	+	0.0898557i	0.111047	+	0.00377359i
$568$	−13.0571	+	22.0941i	−0.547863	+	0.927048i
$569$	−16.1246	+	4.32058i	−0.675979	+	0.181128i	−0.580446	−	0.814298i	$-0.697122\pi$
$569$	−16.1246	+	4.32058i	−0.675979	+	0.181128i	−0.0955322	+	0.995426i	$0.530455\pi$
$570$	−15.7271	+	8.11944i	−0.658736	+	0.340086i
$571$	−43.5891	+	5.73861i	−1.82415	+	0.240153i	−0.963246	−	0.268620i	$-0.913432\pi$
$571$	−43.5891	+	5.73861i	−1.82415	+	0.240153i	−0.860900	+	0.508774i	$0.830099\pi$
$572$	2.00576	+	11.8437i	0.0838651	+	0.495212i
$573$	−23.3319	+	9.66439i	−0.974704	+	0.403736i
$574$	−20.8585	+	23.0520i	−0.870617	+	0.962170i
$575$			2.22960i			0.0929809i
$576$	−5.54076	−	5.77062i	−0.230865	−	0.240442i
$577$	7.80844	−	4.50820i	0.325070	−	0.187679i	−0.328580	−	0.944476i	$-0.606570\pi$
$577$	7.80844	−	4.50820i	0.325070	−	0.187679i	0.653650	+	0.756797i	$0.273237\pi$
$578$	19.1022	−	1.60607i	0.794548	−	0.0668035i
$579$	5.61194	+	0.738826i	0.233224	+	0.0307046i
$580$	−7.13403	−	8.61990i	−0.296225	−	0.357922i
$581$	−19.1742	−	3.19017i	−0.795479	−	0.132351i
$582$	−0.480902	+	10.2202i	−0.0199340	+	0.423639i
$583$	−6.60254	−	24.6410i	−0.273449	−	1.02053i
$584$	0.471051	−	46.3659i	0.0194922	−	1.91863i
$585$	−2.11240	−	0.566016i	−0.0873370	−	0.0234019i
$586$	16.0148	−	3.49353i	0.661564	−	0.144316i
$587$	0.498327	−	1.20307i	0.0205681	−	0.0496559i	−0.913262	−	0.407373i	$-0.866445\pi$
$587$	0.498327	−	1.20307i	0.0205681	−	0.0496559i	0.933830	+	0.357717i	$0.116445\pi$
$588$	−7.37335	+	11.9010i	−0.304072	+	0.490789i
$589$	51.8694	−	21.4850i	2.13724	−	0.885275i
$590$	8.38694	+	1.50815i	0.345285	+	0.0620894i
$591$	−6.88381	+	3.97437i	−0.283162	+	0.163484i
$592$	14.0506	+	0.804271i	0.577475	+	0.0330553i
$593$	−10.8573	+	18.8055i	−0.445858	+	0.772248i	−0.998112	−	0.0614277i	$-0.980435\pi$
$593$	−10.8573	+	18.8055i	−0.445858	+	0.772248i	0.552254	+	0.833676i	$0.313768\pi$
$594$	−6.99272	+	2.51836i	−0.286915	+	0.103329i
$595$	−7.64515	+	5.46406i	−0.313421	+	0.224005i
$596$	29.9772	−	9.22902i	1.22791	−	0.378036i
$597$	−13.8769	−	18.0847i	−0.567944	−	0.740159i
$598$	0.818426	−	2.56539i	0.0334679	−	0.104907i
$599$	4.35875	−	16.2671i	0.178094	−	0.664655i	−0.817910	−	0.575346i	$-0.804867\pi$
$599$	4.35875	−	16.2671i	0.178094	−	0.664655i	0.996004	−	0.0893090i	$-0.0284659\pi$
$600$	2.97933	+	2.33459i	0.121631	+	0.0953091i
$601$	−0.206296	+	0.206296i	−0.00841499	+	0.00841499i	−0.711302	−	0.702887i	$-0.751894\pi$
$601$	−0.206296	+	0.206296i	−0.00841499	+	0.00841499i	0.702887	+	0.711302i	$0.251894\pi$
$602$	−2.24359	+	6.28673i	−0.0914417	+	0.256228i
$603$	−3.87250	+	9.34903i	−0.157700	+	0.380722i
$604$	−11.4260	−	8.11646i	−0.464918	−	0.330254i
$605$	25.2317	+	19.3610i	1.02582	+	0.787137i
$606$	10.6224	−	0.893104i	0.431506	−	0.0362799i
$607$	−23.9596	+	41.4993i	−0.972490	+	1.68440i	−0.284510	+	0.958673i	$0.591831\pi$
$607$	−23.9596	+	41.4993i	−0.972490	+	1.68440i	−0.687980	+	0.725730i	$0.741502\pi$
$608$	−35.9797	−	8.61811i	−1.45917	−	0.349511i
$609$	5.28068	+	5.65220i	0.213984	+	0.229039i
$610$	17.9718	+	8.45462i	0.727659	+	0.342318i
$611$	0.0152668	−	0.115963i	0.000617628	−	0.00469135i
$612$	1.54600	+	3.37490i	0.0624934	+	0.136422i
$613$	2.71776	+	20.6435i	0.109769	+	0.833782i	0.954421	+	0.298465i	$0.0964745\pi$
$613$	2.71776	+	20.6435i	0.109769	+	0.833782i	−0.844651	+	0.535317i	$0.820192\pi$
$614$	34.9534	+	22.4345i	1.41060	+	0.905383i
$615$	11.2425	+	11.2425i	0.453340	+	0.453340i
$616$	6.84847	−	38.7276i	0.275933	−	1.56038i
$617$	−17.2621	+	17.2621i	−0.694947	+	0.694947i	−0.963316	−	0.268369i	$-0.913515\pi$
$617$	−17.2621	+	17.2621i	−0.694947	+	0.694947i	0.268369	+	0.963316i	$0.413515\pi$
$618$	−3.54469	+	0.773255i	−0.142588	+	0.0311049i
$619$	16.2596	−	2.14062i	0.653530	−	0.0860389i	0.203532	−	0.979068i	$-0.434758\pi$
$619$	16.2596	−	2.14062i	0.653530	−	0.0860389i	0.449998	+	0.893029i	$0.351425\pi$
$620$	24.0709	+	22.3587i	0.966712	+	0.897948i
$621$	1.65184	+	0.217469i	0.0662861	+	0.00872673i
$622$	8.96870	+	24.9034i	0.359612	+	0.998534i
$623$	−11.1197	+	36.4933i	−0.445502	+	1.46207i
$624$	−2.57107	−	3.77982i	−0.102925	−	0.151314i
$625$	14.3051	+	8.25903i	0.572202	+	0.330361i
$626$	2.18058	−	2.58091i	0.0871534	−	0.103154i
$627$	−20.9246	+	27.2694i	−0.835647	+	1.08904i
$628$	8.09960	−	5.08323i	0.323209	−	0.202843i
$629$	−6.03332	−	2.49908i	−0.240564	−	0.0996449i
$630$	5.89076	+	4.06988i	0.234693	+	0.162148i
$631$	−12.7793	−	12.7793i	−0.508735	−	0.508735i	0.405403	−	0.914138i	$-0.367131\pi$
$631$	−12.7793	−	12.7793i	−0.508735	−	0.508735i	−0.914138	+	0.405403i	$0.867131\pi$
$632$	−8.99961	+	32.2720i	−0.357985	+	1.28371i
$633$	19.2367	+	5.15447i	0.764592	+	0.204872i
$634$	12.8605	+	24.9104i	0.510756	+	0.989318i
$635$	20.3341	−	15.6029i	0.806935	−	0.619183i
$636$	6.18970	+	7.47889i	0.245438	+	0.296557i
$637$	−5.28964	+	6.00150i	−0.209583	+	0.237788i
$638$	−19.6624	−	9.24991i	−0.778441	−	0.366207i
$639$	−7.85794	−	4.53678i	−0.310855	−	0.179472i
$640$	−4.18354	−	21.2416i	−0.165369	−	0.839648i
$641$	−3.89115	−	6.73967i	−0.153691	−	0.266201i	0.778891	−	0.627160i	$-0.215783\pi$
$641$	−3.89115	−	6.73967i	−0.153691	−	0.266201i	−0.932582	+	0.360959i	$0.882449\pi$
$642$	20.8084	−	14.4654i	0.821242	−	0.570905i
$643$	12.9244	+	31.2022i	0.509688	+	1.23050i	0.944063	+	0.329764i	$0.106969\pi$
$643$	12.9244	+	31.2022i	0.509688	+	1.23050i	−0.434375	+	0.900732i	$0.643031\pi$
$644$	−5.34668	+	7.00980i	−0.210689	+	0.276225i
$645$	3.15394	+	1.30640i	0.124186	+	0.0514396i
$646$	14.4476	+	9.27308i	0.568434	+	0.364844i
$647$	−5.53288	+	20.6490i	−0.217520	+	0.811795i	0.767744	+	0.640756i	$0.221379\pi$
$647$	−5.53288	+	20.6490i	−0.217520	+	0.811795i	−0.985264	+	0.171039i	$0.945288\pi$
$648$	2.02021	−	1.97958i	0.0793615	−	0.0777652i
$649$	15.9849	−	4.28314i	0.627462	−	0.168128i
$650$	1.45580	+	1.59957i	0.0571012	+	0.0627403i
$651$	−17.5384	−	14.4299i	−0.687384	−	0.565554i
$652$	38.6992	+	20.4798i	1.51558	+	0.802052i
$653$	−3.72534	+	28.2968i	−0.145784	+	1.10734i	0.749552	+	0.661946i	$0.230269\pi$
$653$	−3.72534	+	28.2968i	−0.145784	+	1.10734i	−0.895336	+	0.445392i	$0.853064\pi$
$654$	15.7132	+	13.2759i	0.614435	+	0.519128i
$655$	−13.4139	−	23.2335i	−0.524124	−	0.907809i
$656$	2.44787	+	33.1443i	0.0955732	+	1.29407i
$657$	16.3937			0.639578
$658$	−0.174685	+	0.340773i	−0.00680993	+	0.0132847i
$659$	6.89137	+	16.6372i	0.268450	+	0.648095i	0.999411	−	0.0343242i	$-0.0109279\pi$
$659$	6.89137	+	16.6372i	0.268450	+	0.648095i	−0.730961	+	0.682419i	$0.760928\pi$
$660$	−19.6069	−	4.48626i	−0.763196	−	0.174628i
$661$	−3.36904	−	25.5904i	−0.131040	−	0.995351i	−0.923006	−	0.384785i	$-0.874275\pi$
$661$	−3.36904	−	25.5904i	−0.131040	−	0.995351i	0.791966	−	0.610566i	$-0.209058\pi$
$662$	−4.45125	−	1.42006i	−0.173003	−	0.0551923i
$663$	0.549008	+	2.04892i	0.0213217	+	0.0795736i
$664$	−16.6134	+	12.4818i	−0.644725	+	0.484389i
$665$	33.0934	+	1.12457i	1.28331	+	0.0436091i
$666$	−0.233872	+	4.97026i	−0.00906236	+	0.192594i
$667$	2.96529	+	3.86445i	0.114817	+	0.149632i
$668$	7.92970	−	3.63250i	0.306809	−	0.140546i
$669$	−1.01454	+	1.32217i	−0.0392244	+	0.0511182i
$670$	−22.4855	+	15.6313i	−0.868691	+	0.603891i
$671$	38.5707			1.48901
$672$	3.76849	+	14.4844i	0.145372	+	0.558749i
$673$	22.3056			0.859818			0.429909	−	0.902872i	$-0.358546\pi$
$673$	22.3056			0.859818			0.429909	+	0.902872i	$0.358546\pi$
$674$	35.6205	−	24.7624i	1.37205	−	0.953812i
$675$	−0.814658	+	1.06168i	−0.0313562	+	0.0408642i
$676$	9.74034	+	21.2630i	0.374628	+	0.817809i
$677$	−19.5499	−	25.4779i	−0.751363	−	0.979196i	−0.999944	−	0.0105845i	$-0.996631\pi$
$677$	−19.5499	−	25.4779i	−0.751363	−	0.979196i	0.248581	−	0.968611i	$-0.420036\pi$
$678$	−0.0770901	+	1.63832i	−0.00296063	+	0.0629194i
$679$	10.1281	−	16.2423i	0.388682	−	0.623321i
$680$	−1.41236	+	9.94608i	−0.0541616	+	0.381415i
$681$	−2.78394	−	10.3898i	−0.106681	−	0.398138i
$682$	60.7828	+	19.3913i	2.32749	+	0.742530i
$683$	5.29250	+	40.2006i	0.202512	+	1.53823i	0.726895	+	0.686749i	$0.240963\pi$
$683$	5.29250	+	40.2006i	0.202512	+	1.53823i	−0.524383	+	0.851483i	$0.675704\pi$
$684$	2.91758	−	12.7510i	0.111556	−	0.487548i
$685$	4.15453	+	10.0299i	0.158737	+	0.383224i
$686$	22.9150	−	12.6848i	0.874897	−	0.484308i
$687$	−12.0722			−0.460584
$688$	3.20898	+	6.37372i	0.122341	+	0.242996i
$689$	2.77369	+	4.80417i	0.105669	+	0.183024i
$690$	3.44410	+	2.90988i	0.131115	+	0.110777i
$691$	−2.35734	+	17.9058i	−0.0896776	+	0.681169i	0.886271	+	0.463167i	$0.153287\pi$
$691$	−2.35734	+	17.9058i	−0.0896776	+	0.681169i	−0.975948	+	0.218001i	$0.930046\pi$
$692$	−3.27021	+	6.17947i	−0.124315	+	0.234908i
$693$	13.7162	+	2.28208i	0.521034	+	0.0866890i
$694$	1.06617	+	1.17146i	0.0404714	+	0.0444682i
$695$	−5.15711	+	1.38184i	−0.195620	+	0.0524163i
$696$	8.26883	+	0.0840066i	0.313429	+	0.00318426i
$697$	3.99137	−	14.8960i	0.151184	−	0.564227i
$698$	−6.33864	−	4.06840i	−0.239921	−	0.153991i
$699$	3.74123	+	1.54967i	0.141506	+	0.0586139i
$700$	−2.72877	−	6.53432i	−0.103138	−	0.246974i
$701$	−0.0131941	−	0.0318535i	−0.000498336	−	0.00120309i	0.923630	−	0.383285i	$-0.125207\pi$
$701$	−0.0131941	−	0.0318535i	−0.000498336	−	0.00120309i	−0.924129	+	0.382082i	$0.875207\pi$
$702$	1.32706	−	0.922539i	0.0500868	−	0.0348190i
$703$	11.5057	+	19.9284i	0.433944	+	0.751613i
$704$	−24.9117	−	33.8688i	−0.938896	−	1.27648i
$705$	0.169606	+	0.0979219i	0.00638772	+	0.00368795i
$706$	24.8394	+	11.6854i	0.934842	+	0.439784i
$707$	−18.1549	−	8.25313i	−0.682787	−	0.310391i
$708$	−4.85164	+	4.01533i	−0.182336	+	0.150905i
$709$	−15.9255	+	12.2200i	−0.598094	+	0.458934i	−0.862905	−	0.505367i	$-0.831357\pi$
$709$	−15.9255	+	12.2200i	−0.598094	+	0.458934i	0.264811	+	0.964300i	$0.414691\pi$
$710$	−11.2644	−	21.8188i	−0.422745	−	0.818844i
$711$	−11.4416	−	3.06577i	−0.429093	−	0.114975i
$712$	20.0321	+	35.5252i	0.750734	+	1.33136i
$713$	−10.1131	−	10.1131i	−0.378738	−	0.378738i
$714$	0.561834	−	6.92204i	0.0210261	−	0.259051i
$715$	−10.6184	−	4.39830i	−0.397107	−	0.164487i
$716$	−2.38598	−	3.80182i	−0.0891682	−	0.142081i
$717$	−16.3080	+	21.2530i	−0.609032	+	0.793706i
$718$	33.3052	−	39.4197i	1.24294	−	1.47113i
$719$	−36.2412	−	20.9239i	−1.35157	−	0.780328i	−0.363099	−	0.931750i	$-0.618281\pi$
$719$	−36.2412	−	20.9239i	−1.35157	−	0.780328i	−0.988469	+	0.151422i	$0.951615\pi$
$720$	7.49463	−	1.55532i	0.279308	−	0.0579635i
$721$	6.49275	+	1.97838i	0.241802	+	0.0736786i
$722$	−11.3928	−	31.6344i	−0.423996	−	1.17731i
$723$	19.2990	+	2.54076i	0.717738	+	0.0944921i
$724$	−18.2808	+	19.6808i	−0.679402	+	0.731430i
$725$	−3.87898	+	0.510678i	−0.144062	+	0.0189661i
$726$	−22.9644	+	5.00955i	−0.852288	+	0.185922i
$727$	−6.57938	+	6.57938i	−0.244016	+	0.244016i	−0.818509	−	0.574493i	$-0.805199\pi$
$727$	−6.57938	+	6.57938i	−0.244016	+	0.244016i	0.574493	+	0.818509i	$0.305199\pi$
$728$	0.741163	+	8.52007i	0.0274693	+	0.315775i
$729$	0.707107	+	0.707107i	0.0261891	+	0.0261891i
$730$	37.3358	+	23.9637i	1.38186	+	0.886935i
$731$	−0.432201	−	3.28289i	−0.0159855	−	0.121422i
$732$	−13.3447	+	6.11307i	−0.493236	+	0.225945i
$733$	0.576544	−	4.37929i	0.0212951	−	0.161753i	−0.977493	−	0.210967i	$-0.932339\pi$
$733$	0.576544	−	4.37929i	0.0212951	−	0.161753i	0.998788	+	0.0492149i	$0.0156719\pi$
$734$	−10.5309	−	4.95413i	−0.388703	−	0.182860i
$735$	−5.89457	−	12.0283i	−0.217424	−	0.443672i
$736$	1.47923	+	9.30805i	0.0545250	+	0.343099i
$737$	−26.5910	+	46.0569i	−0.979491	+	1.69653i
$738$	−11.7089	+	0.984452i	−0.431010	+	0.0362382i
$739$	−22.9443	−	17.6058i	−0.844019	−	0.647639i	0.0934821	−	0.995621i	$-0.470200\pi$
$739$	−22.9443	−	17.6058i	−0.844019	−	0.647639i	−0.937501	+	0.347982i	$0.886867\pi$
$740$	−7.79799	+	10.9777i	−0.286660	+	0.403548i
$741$	2.86037	−	6.90555i	0.105078	−	0.253682i
$742$	−3.26604	−	17.8660i	−0.119900	−	0.655882i
$743$	−31.8111	+	31.8111i	−1.16703	+	1.16703i	−0.184133	+	0.982901i	$0.558948\pi$
$743$	−31.8111	+	31.8111i	−1.16703	+	1.16703i	−0.982901	+	0.184133i	$0.941052\pi$
$744$	−24.1030	+	2.92444i	−0.883659	+	0.107215i
$745$	−7.76724	+	28.9877i	−0.284570	+	1.06203i
$746$	−10.2830	+	32.2326i	−0.376489	+	1.18012i
$747$	−4.47244	−	5.82859i	−0.163638	−	0.213257i
$748$	5.74037	+	18.6455i	0.209889	+	0.681748i
$749$	−47.1888	+	4.58843i	−1.72424	+	0.167658i
$750$	−16.1379	+	5.81190i	−0.589272	+	0.212221i
$751$	−8.45153	+	14.6385i	−0.308401	+	0.534166i	−0.978013	−	0.208545i	$-0.933127\pi$
$751$	−8.45153	+	14.6385i	−0.308401	+	0.534166i	0.669612	+	0.742711i	$0.266460\pi$
$752$	0.134792	+	0.386550i	0.00491535	+	0.0140960i
$753$	19.1318	−	11.0457i	0.697200	−	0.402529i
$754$	4.65063	+	0.836280i	0.169366	+	0.0304555i
$755$	12.3890	−	5.13169i	0.450882	−	0.186761i
$756$	−5.10722	+	1.38432i	−0.185748	+	0.0503471i
$757$	10.4610	−	25.2551i	0.380212	−	0.917912i	−0.611712	−	0.791080i	$-0.709519\pi$
$757$	10.4610	−	25.2551i	0.380212	−	0.917912i	0.991924	−	0.126832i	$-0.0404810\pi$
$758$	49.7557	−	10.8539i	1.80721	−	0.394233i
$759$	8.45778	+	2.26625i	0.306998	+	0.0822598i
$760$	25.2837	−	24.7751i	0.917135	−	0.898687i
$761$	7.97661	+	29.7691i	0.289152	+	1.07913i	0.945752	+	0.324891i	$0.105327\pi$
$761$	7.97661	+	29.7691i	0.289152	+	1.07913i	−0.656600	+	0.754239i	$0.728006\pi$
$762$	−0.890321	+	18.9211i	−0.0322529	+	0.685441i
$763$	−13.5113	−	36.0345i	−0.489141	−	1.30454i
$764$	38.9108	−	32.2035i	1.40774	−	1.16508i
$765$	−3.52136	−	0.463596i	−0.127315	−	0.0167613i
$766$	−11.9599	+	1.00556i	−0.432131	+	0.0363324i
$767$	−3.11652	+	1.79932i	−0.112531	+	0.0649698i
$768$	13.9868	+	7.76970i	0.504707	+	0.280365i
$769$		−	1.32589i		−	0.0478128i	−0.999714	−	0.0239064i	$-0.992390\pi$
$769$		−	1.32589i		−	0.0478128i	0.999714	−	0.0239064i	$-0.00761036\pi$
$770$	27.9021	+	25.2471i	1.00552	+	0.909843i
$771$	4.00625	−	1.65944i	0.144282	−	0.0597634i
$772$	−11.1618	+	1.89027i	−0.401722	+	0.0680324i
$773$	34.2608	−	4.51052i	1.23228	−	0.162232i	0.513877	−	0.857864i	$-0.328209\pi$
$773$	34.2608	−	4.51052i	1.23228	−	0.162232i	0.718399	+	0.695632i	$0.244875\pi$
$774$	−2.24181	+	1.15738i	−0.0805801	+	0.0416012i
$775$	11.0961	−	2.97320i	0.398585	−	0.106800i
$776$	−5.09512	−	19.8184i	−0.182904	−	0.711441i
$777$	4.92551	−	7.89893i	0.176702	−	0.283373i
$778$	−8.86577	+	8.06892i	−0.317853	+	0.289285i
$779$	−43.1115	+	33.0806i	−1.54463	+	1.18524i
$780$	4.37086	−	0.161185i	0.156502	−	0.00577136i
$781$	−37.8319	−	29.0294i	−1.35373	−	1.03875i
$782$	0.773998	−	4.30427i	0.0276781	−	0.153921i
$783$			2.92362i			0.104482i
$784$	7.09040	−	27.0874i	0.253228	−	0.967407i
$785$			9.14936i			0.326555i
$786$	19.5139	+	3.50900i	0.696036	+	0.125162i
$787$	−10.7395	−	8.24071i	−0.382822	−	0.293749i	0.399367	−	0.916791i	$-0.369230\pi$
$787$	−10.7395	−	8.24071i	−0.382822	−	0.293749i	−0.782189	+	0.623042i	$0.785897\pi$
$788$	10.8193	−	11.6478i	0.385422	−	0.414937i
$789$	11.7351	−	9.00465i	0.417780	−	0.320574i
$790$	−21.5763	−	23.7071i	−0.767650	−	0.843460i
$791$	1.62357	−	2.60368i	0.0577275	−	0.0925764i
$792$	11.8843	−	8.92882i	0.422291	−	0.317272i
$793$	−8.10168	+	2.17084i	−0.287699	+	0.0770887i
$794$	−8.55557	−	16.5719i	−0.303626	−	0.588113i
$795$	−9.20908	+	1.21240i	−0.326612	+	0.0429993i
$796$	37.1677	+	26.4021i	1.31737	+	0.935796i
$797$	42.3504	−	17.5421i	1.50013	−	0.621373i	0.526635	−	0.850092i	$-0.323454\pi$
$797$	42.3504	−	17.5421i	1.50013	−	0.621373i	0.973493	+	0.228719i	$0.0734536\pi$
$798$	−16.4191	+	18.1457i	−0.581230	+	0.642351i
$799$		−	0.189959i		−	0.00672026i
$800$	−7.06874	−	2.70920i	−0.249918	−	0.0957849i
$801$	−12.4875	+	7.20964i	−0.441223	+	0.254740i
$802$	−0.527472	−	6.27364i	−0.0186257	−	0.221530i
$803$	85.4196	+	11.2457i	3.01439	+	0.396852i
$804$	1.90042	−	20.1492i	0.0670227	−	0.710608i
$805$	−2.96147	−	7.89823i	−0.104378	−	0.278376i
$806$	−13.8586	−	0.652108i	−0.488150	−	0.0229695i
$807$	2.75922	+	10.2976i	0.0971293	+	0.362492i
$808$	−19.7788	+	7.95820i	−0.695814	+	0.279968i
$809$	8.01502	+	2.14762i	0.281793	+	0.0755063i	0.396947	−	0.917841i	$-0.370070\pi$
$809$	8.01502	+	2.14762i	0.281793	+	0.0755063i	−0.115154	+	0.993348i	$0.536736\pi$
$810$	0.576780	+	2.64403i	0.0202660	+	0.0929017i
$811$	3.22342	−	7.78203i	0.113190	−	0.273264i	−0.857126	−	0.515107i	$-0.827752\pi$
$811$	3.22342	−	7.78203i	0.113190	−	0.273264i	0.970315	+	0.241843i	$0.0777520\pi$
$812$	−13.4200	−	7.69640i	−0.470951	−	0.270091i
$813$	−13.8226	+	5.72552i	−0.484781	+	0.200803i
$814$	−4.62809	+	25.7373i	−0.162215	+	0.902090i
$815$	−36.2797	+	20.9461i	−1.27082	+	0.733709i
$816$	−4.94119	−	5.54121i	−0.172976	−	0.193981i
$817$	−5.83389	+	10.1046i	−0.204102	+	0.353515i
$818$	−19.2426	−	53.4310i	−0.672803	−	1.86817i
$819$	−3.00948	+	0.292629i	−0.105160	+	0.0102253i
$820$	−28.1055	−	14.8736i	−0.981486	−	0.519408i
$821$	−24.9265	−	32.4849i	−0.869942	−	1.13373i	−0.990014	−	0.140966i	$-0.954979\pi$
$821$	−24.9265	−	32.4849i	−0.869942	−	1.13373i	0.120072	−	0.992765i	$-0.461687\pi$
$822$	−7.64372	−	2.43854i	−0.266605	−	0.0850540i
$823$	4.39789	−	16.4131i	0.153301	−	0.572126i	−0.845944	−	0.533271i	$-0.820962\pi$
$823$	4.39789	−	16.4131i	0.153301	−	0.572126i	0.999245	−	0.0388545i	$-0.0123709\pi$
$824$	6.32051	−	3.56403i	0.220185	−	0.124159i
$825$	−4.97309	+	4.97309i	−0.173141	+	0.173141i
$826$	11.5899	−	2.11872i	0.403264	−	0.0737196i
$827$	−17.7342	+	42.8142i	−0.616680	+	1.48880i	0.238857	+	0.971055i	$0.423227\pi$
$827$	−17.7342	+	42.8142i	−0.616680	+	1.48880i	−0.855537	+	0.517742i	$0.826773\pi$
$828$	−3.28541	+	0.556390i	−0.114176	+	0.0193359i
$829$	−14.2382	−	10.9254i	−0.494514	−	0.379454i	0.331184	−	0.943566i	$-0.392552\pi$
$829$	−14.2382	−	10.9254i	−0.494514	−	0.379454i	−0.825698	+	0.564112i	$0.809219\pi$
$830$	−1.66574	−	19.8120i	−0.0578187	−	0.687685i
$831$	0.541009	−	0.937055i	0.0187674	−	0.0325061i
$832$	7.13885	+	5.71196i	0.247495	+	0.198027i
$833$	−7.24512	+	10.7849i	−0.251029	+	0.373675i
$834$	1.67965	−	3.57041i	0.0581617	−	0.123633i
$835$	−1.08927	+	8.27382i	−0.0376957	+	0.286327i
$836$	23.9490	−	64.4382i	0.828295	−	2.22864i
$837$	−1.12046	−	8.51076i	−0.0387288	−	0.294175i
$838$	−15.9633	+	24.8712i	−0.551445	+	0.859160i
$839$	20.3210	+	20.3210i	0.701559	+	0.701559i	0.964745	−	0.263186i	$-0.0847732\pi$
$839$	20.3210	+	20.3210i	0.701559	+	0.701559i	−0.263186	+	0.964745i	$0.584773\pi$
$840$	−13.6550	−	4.31283i	−0.471142	−	0.148807i
$841$	14.4621	−	14.4621i	0.498691	−	0.498691i
$842$	4.57801	+	20.9861i	0.157769	+	0.723230i
$843$	15.7201	−	2.06959i	0.541429	−	0.0712805i
$844$	−39.8036	+	1.46785i	−1.37010	+	0.0505254i
$845$	−22.1858	−	2.92081i	−0.763214	−	0.100479i
$846$	−0.136175	+	0.0490420i	−0.00468179	+	0.00168610i
$847$	42.0634	+	12.8169i	1.44532	+	0.440396i
$848$	−16.2326	−	10.6531i	−0.557428	−	0.365829i
$849$	5.19710	+	3.00055i	0.178364	+	0.102978i
$850$	2.68321	+	2.26701i	0.0920334	+	0.0777578i
$851$	3.56855	−	4.65062i	0.122328	−	0.159421i
$852$	17.6900	+	4.04766i	0.606048	+	0.138671i
$853$	−37.8619	−	15.6829i	−1.29637	−	0.536972i	−0.375489	−	0.926827i	$-0.622525\pi$
$853$	−37.8619	−	15.6829i	−1.29637	−	0.536972i	−0.920877	+	0.389854i	$0.872525\pi$
$854$	27.3705	+	2.22155i	0.936600	+	0.0760200i
$855$	8.84968	+	8.84968i	0.302653	+	0.302653i
$856$	−31.2619	+	39.8955i	−1.06851	+	1.36360i
$857$	−15.0835	−	4.04160i	−0.515241	−	0.138059i	−0.00817684	−	0.999967i	$-0.502603\pi$
$857$	−15.0835	−	4.04160i	−0.515241	−	0.138059i	−0.507065	+	0.861908i	$0.669269\pi$
$858$	7.54754	−	3.89657i	0.257669	−	0.133027i
$859$	−8.60850	+	6.60554i	−0.293718	+	0.225378i	−0.745100	−	0.666953i	$-0.767598\pi$
$859$	−8.60850	+	6.60554i	−0.293718	+	0.225378i	0.451381	+	0.892331i	$0.350931\pi$
$860$	−6.79743	−	0.641116i	−0.231791	−	0.0218619i
$861$	20.0119	+	9.09728i	0.682002	+	0.310034i
$862$	19.9907	−	42.4939i	0.680886	−	1.44735i
$863$	−29.1570	−	16.8338i	−0.992517	−	0.573030i	−0.0864911	−	0.996253i	$-0.527565\pi$
$863$	−29.1570	−	16.8338i	−0.992517	−	0.573030i	−0.906026	+	0.423223i	$0.860899\pi$
$864$	−2.69662	+	4.97275i	−0.0917410	+	0.169176i
$865$	−3.34466	−	5.79312i	−0.113722	−	0.196972i
$866$	25.8894	+	37.2417i	0.879759	+	1.26553i
$867$	−5.18727	−	12.5232i	−0.176169	−	0.425309i
$868$	42.0157	+	17.2613i	1.42611	+	0.585887i
$869$	−57.5137	−	23.8230i	−1.95102	−	0.808138i
$870$	−4.27365	+	6.65842i	−0.144890	+	0.225742i
$871$	2.99319	−	11.1707i	0.101420	−	0.378506i
$872$	−37.8478	−	16.1295i	−1.28169	−	0.546212i
$873$	6.98822	−	1.87249i	0.236515	−	0.0633741i
$874$	−11.3969	+	10.3725i	−0.385504	+	0.350855i
$875$	31.6543	+	5.26661i	1.07011	+	0.178044i
$876$	−31.3359	+	9.64733i	−1.05874	+	0.325953i
$877$	6.03982	−	45.8770i	0.203950	−	1.54916i	−0.516889	−	0.856053i	$-0.672910\pi$
$877$	6.03982	−	45.8770i	0.203950	−	1.54916i	0.720839	−	0.693103i	$-0.243757\pi$
$878$	−20.1556	+	23.8560i	−0.680218	+	0.805100i
$879$	−5.79523	−	10.0376i	−0.195468	−	0.338561i
$880$	40.1179	−	2.96290i	1.35237	−	0.0998793i
$881$	−7.62433			−0.256870			−0.128435	−	0.991718i	$-0.540995\pi$
$881$	−7.62433			−0.256870			−0.128435	+	0.991718i	$0.540995\pi$
$882$	9.60181	+	2.40941i	0.323310	+	0.0811292i
$883$	14.2934	+	34.5073i	0.481010	+	1.16126i	0.959130	+	0.282967i	$0.0913186\pi$
$883$	14.2934	+	34.5073i	0.481010	+	1.16126i	−0.478119	+	0.878295i	$0.658681\pi$
$884$	−2.25516	−	3.59336i	−0.0758492	−	0.120858i
$885$	−0.786497	−	5.97404i	−0.0264378	−	0.200815i
$886$	0.937537	−	2.93875i	0.0314972	−	0.0987292i
$887$	−1.17432	−	4.38263i	−0.0394299	−	0.147154i	0.943405	−	0.331644i	$-0.107603\pi$
$887$	−1.17432	−	4.38263i	−0.0394299	−	0.147154i	−0.982834	+	0.184490i	$0.940937\pi$
$888$	−2.47786	−	9.63811i	−0.0831515	−	0.323434i
$889$	18.7508	−	30.0702i	0.628880	−	1.00852i
$890$	−38.9784	−	1.83410i	−1.30656	−	0.0614793i
$891$	3.19934	+	4.16946i	0.107182	+	0.139682i
$892$	1.16118	−	3.12432i	0.0388793	−	0.104610i
$893$	−0.407481	+	0.531040i	−0.0136358	+	0.0177706i
$894$	−12.6597	−	18.2108i	−0.423403	−	0.609062i
$895$	4.29455			0.143551
$896$	−15.7271	−	25.4688i	−0.525406	−	0.850852i
$897$	−1.90408			−0.0635755
$898$	17.1612	+	24.6863i	0.572677	+	0.823791i
$899$	15.2781	−	19.9107i	0.509552	−	0.664060i
$900$	0.932410	−	2.50878i	0.0310803	−	0.0836259i
$901$	5.48460	+	7.14767i	0.182718	+	0.238123i
$902$	−61.6848	−	2.90253i	−2.05388	−	0.0966437i
$903$	4.71727	+	0.160302i	0.156981	+	0.00533450i
$904$	−0.816764	−	3.17696i	−0.0271652	−	0.105664i
$905$	−6.65177	−	24.8247i	−0.221112	−	0.825202i
$906$	−3.01209	+	9.44154i	−0.100070	+	0.313674i
$907$	−2.82537	−	21.4608i	−0.0938149	−	0.712595i	−0.972118	−	0.234491i	$-0.924658\pi$
$907$	−2.82537	−	21.4608i	−0.0938149	−	0.712595i	0.878303	−	0.478104i	$-0.158676\pi$
$908$	11.4356	+	18.2214i	0.379503	+	0.604699i
$909$	−2.88454	−	6.96390i	−0.0956743	−	0.230978i
$910$	−7.28171	−	3.73271i	−0.241386	−	0.123738i
$911$	30.5500			1.01217			0.506084	−	0.862484i	$-0.331093\pi$
$911$	30.5500			1.01217			0.506084	+	0.862484i	$0.331093\pi$
$912$	1.92688	+	26.0901i	0.0638053	+	0.863928i
$913$	−19.3055	−	33.4380i	−0.638917	−	1.10664i
$914$	−8.72951	+	10.3322i	−0.288747	+	0.341758i
$915$	1.83311	−	13.9239i	0.0606007	−	0.460308i
$916$	23.0756	−	7.10425i	0.762440	−	0.234731i
$917$	−28.6437	−	23.5670i	−0.945898	−	0.778250i
$918$	1.94127	−	1.76679i	0.0640713	−	0.0583126i
$919$	−4.27097	+	1.14440i	−0.140886	+	0.0377503i	−0.328573	−	0.944479i	$-0.606568\pi$
$919$	−4.27097	+	1.14440i	−0.140886	+	0.0377503i	0.187687	+	0.982229i	$0.439901\pi$
$920$	−8.29568	−	3.53534i	−0.273500	−	0.116557i
$921$	7.60119	−	28.3680i	0.250468	−	0.934758i
$922$	10.4105	−	16.2197i	0.342850	−	0.534167i
$923$	9.58031	+	3.96829i	0.315340	+	0.130618i
$924$	−27.5609	+	3.70957i	−0.906687	+	0.122036i
$925$	1.80182	+	4.34999i	0.0592436	+	0.143027i
$926$	4.10495	+	5.90494i	0.134897	+	0.194048i
$927$	1.28271	+	2.22172i	0.0421298	+	0.0729709i
$928$	−15.8550	+	4.70546i	−0.520466	+	0.154464i
$929$	36.9910	+	21.3567i	1.21363	+	0.700692i	0.963549	−	0.267532i	$-0.0862082\pi$
$929$	36.9910	+	21.3567i	1.21363	+	0.700692i	0.250085	+	0.968224i	$0.419541\pi$
$930$	9.88892	−	21.0207i	0.324270	−	0.689296i
$931$	43.3888	−	14.6082i	1.42201	−	0.478766i
$932$	−8.06318	−	0.760498i	−0.264118	−	0.0249109i
$933$	14.8488	−	11.3939i	0.486128	−	0.373019i
$934$	−7.73322	+	3.99243i	−0.253039	+	0.130636i
$935$	−18.0301	−	4.83116i	−0.589648	−	0.157996i
$936$	−1.99374	+	2.54435i	−0.0651674	+	0.0831646i
$937$	14.8711	+	14.8711i	0.485817	+	0.485817i	0.906984	−	0.421166i	$-0.138379\pi$
$937$	14.8711	+	14.8711i	0.485817	+	0.485817i	−0.421166	+	0.906984i	$0.638379\pi$
$938$	−21.5222	+	31.1513i	−0.702725	+	1.01713i
$939$	−2.20728	−	0.914286i	−0.0720319	−	0.0298366i
$940$	−0.381820	−	0.0873646i	−0.0124536	−	0.00284952i
$941$	−23.1581	+	30.1802i	−0.754931	+	0.983846i	0.244966	+	0.969532i	$0.421223\pi$
$941$	−23.1581	+	30.1802i	−0.754931	+	0.983846i	−0.999898	+	0.0143141i	$0.995444\pi$
$942$	−5.16506	−	4.36389i	−0.168287	−	0.142183i
$943$	11.9884	+	6.92149i	0.390395	+	0.225395i
$944$	6.91079	−	10.5302i	0.224927	−	0.342730i
$945$	1.47569	−	4.84301i	0.0480043	−	0.157543i
$946$	−12.4749	+	4.49272i	−0.405595	+	0.146071i
$947$	0.401224	+	0.0528222i	0.0130380	+	0.00171649i	0.137042	−	0.990565i	$-0.456240\pi$
$947$	0.401224	+	0.0528222i	0.0130380	+	0.00171649i	−0.124004	+	0.992282i	$0.539574\pi$
$948$	23.6743	−	0.873043i	0.768907	−	0.0283551i
$949$	−18.5751	+	2.44546i	−0.602973	+	0.0793829i
$950$	−2.63809	−	12.0933i	−0.0855908	−	0.392358i
$951$	14.0171	−	14.0171i	0.454537	−	0.454537i
$952$	2.99955	+	13.5619i	0.0972161	+	0.439542i
$953$	8.18225	+	8.18225i	0.265049	+	0.265049i	0.827102	−	0.562053i	$-0.189988\pi$
$953$	8.18225	+	8.18225i	0.265049	+	0.265049i	−0.562053	+	0.827102i	$0.689988\pi$
$954$	3.70794	−	5.77704i	0.120049	−	0.187039i
$955$	6.30781	+	47.9125i	0.204116	+	1.55041i
$956$	18.6651	−	50.2211i	0.603674	−	1.62427i
$957$	−2.00554	+	15.2336i	−0.0648300	+	0.492433i
$958$	−15.7791	+	33.5413i	−0.509798	+	1.08367i
$959$	10.2472	+	10.9681i	0.330899	+	0.354180i
$960$	−13.4104	+	7.38338i	−0.432820	+	0.238297i
$961$	−21.3442	+	36.9692i	−0.688523	+	1.19256i
$962$	−0.476426	−	5.66652i	−0.0153606	−	0.182696i
$963$	−14.2167	−	10.9089i	−0.458128	−	0.351534i
$964$	−38.3846	+	6.50050i	−1.23628	+	0.209367i
$965$	4.14505	−	10.0070i	0.133434	−	0.322138i
$966$	5.87127	+	2.09532i	0.188905	+	0.0674158i
$967$	21.7891	−	21.7891i	0.700689	−	0.700689i	−0.263870	−	0.964558i	$-0.584999\pi$
$967$	21.7891	−	21.7891i	0.700689	−	0.700689i	0.964558	+	0.263870i	$0.0849989\pi$
$968$	40.9475	−	23.0896i	1.31610	−	0.742129i
$969$	3.14187	−	11.7256i	0.100931	−	0.376681i
$970$	18.6525	+	5.95062i	0.598895	+	0.191063i
$971$	−18.3672	−	23.9365i	−0.589430	−	0.768160i	0.399469	−	0.916747i	$-0.369194\pi$
$971$	−18.3672	−	23.9365i	−0.589430	−	0.768160i	−0.988899	+	0.148586i	$0.952528\pi$
$972$	−1.76773	−	0.935491i	−0.0566999	−	0.0300059i
$973$	−6.00566	+	4.29230i	−0.192533	+	0.137605i
$974$	13.1630	+	36.5496i	0.421769	+	1.17113i
$975$	0.764688	−	1.32448i	0.0244896	−	0.0424173i
$976$	21.9106	−	19.5380i	0.701340	−	0.625396i
$977$	49.2509	−	28.4350i	1.57568	−	0.909717i	0.580224	−	0.814457i	$-0.302965\pi$
$977$	49.2509	−	28.4350i	1.57568	−	0.909717i	0.995452	−	0.0952600i	$-0.0303682\pi$
$978$	5.47937	−	30.4713i	0.175211	−	0.974365i
$979$	−70.0119	+	28.9999i	−2.23759	+	0.926840i
$980$	18.3457	+	19.5229i	0.586032	+	0.623637i
$981$	5.56639	−	13.4385i	0.177721	−	0.429057i
$982$	−9.94791	−	45.6024i	−0.317450	−	1.45523i
$983$	−4.72221	−	1.26531i	−0.150615	−	0.0403572i	0.182724	−	0.983164i	$-0.441509\pi$
$983$	−4.72221	−	1.26531i	−0.150615	−	0.0403572i	−0.333339	+	0.942807i	$0.608175\pi$
$984$	21.8018	−	8.77218i	0.695015	−	0.279647i
$985$	3.93677	+	14.6922i	0.125436	+	0.468134i
$986$	7.66570	+	0.360704i	0.244126	+	0.0114872i
$987$	0.267106	+	0.0444407i	0.00850207	+	0.00141456i
$988$	−1.40372	+	14.8830i	−0.0446584	+	0.473490i
$989$	2.94686	+	0.387962i	0.0937048	+	0.0123365i
$990$	1.19158	+	14.1724i	0.0378709	+	0.450429i
$991$	40.0429	−	23.1188i	1.27200	−	0.734391i	0.296639	−	0.954990i	$-0.404134\pi$
$991$	40.0429	−	23.1188i	1.27200	−	0.734391i	0.975365	+	0.220598i	$0.0708010\pi$
$992$	44.3510	−	19.7741i	1.40815	−	0.627827i
$993$			3.30380i			0.104843i
$994$	−25.1742	−	22.7788i	−0.798477	−	0.722500i
$995$	−40.3002	+	16.6929i	−1.27760	+	0.529200i
$996$	11.9789	+	8.50920i	0.379566	+	0.269624i
$997$	33.6686	−	4.43255i	1.06629	−	0.140380i	0.423100	−	0.906083i	$-0.360942\pi$
$997$	33.6686	−	4.43255i	1.06629	−	0.140380i	0.643195	+	0.765703i	$0.277609\pi$
$998$	−3.08883	−	5.98297i	−0.0977752	−	0.189388i
$999$	3.39851	−	0.910628i	0.107524	−	0.0288110i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	672.2.cf.a.187.45	yes	512
7.3	odd	6	inner	672.2.cf.a.283.3	yes	512
32.19	odd	8	inner	672.2.cf.a.19.3	✓	512
224.115	even	24	inner	672.2.cf.a.115.45	yes	512

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
672.2.cf.a.19.3	✓	512	32.19	odd	8	inner
672.2.cf.a.115.45	yes	512	224.115	even	24	inner
672.2.cf.a.187.45	yes	512	1.1	even	1	trivial
672.2.cf.a.283.3	yes	512	7.3	odd	6	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.cf (of order \(24\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.807232 + 1.16120i) q^{2} +(0.608761 - 0.793353i) q^{3} +(-0.696753 + 1.87471i) q^{4} +(-1.16491 - 1.51814i) q^{5} +(1.41265 + 0.0664712i) q^{6} +(-2.24504 - 1.39993i) q^{7} +(-2.73935 + 0.704258i) q^{8} +(-0.258819 - 0.965926i) q^{9} +O(q^{10})\)	\(q+(0.807232 + 1.16120i) q^{2} +(0.608761 - 0.793353i) q^{3} +(-0.696753 + 1.87471i) q^{4} +(-1.16491 - 1.51814i) q^{5} +(1.41265 + 0.0664712i) q^{6} +(-2.24504 - 1.39993i) q^{7} +(-2.73935 + 0.704258i) q^{8} +(-0.258819 - 0.965926i) q^{9} +(0.822508 - 2.57818i) q^{10} +(-0.685979 - 5.21053i) q^{11} +(1.06315 + 1.69402i) q^{12} +(0.437347 + 1.05585i) q^{13} +(-0.186673 - 3.73700i) q^{14} -1.91358 q^{15} +(-3.02907 - 2.61242i) q^{16} +(0.928038 + 1.60741i) q^{17} +(0.912702 - 1.08027i) q^{18} +(0.853678 - 6.48433i) q^{19} +(3.65773 - 1.12610i) q^{20} +(-2.47733 + 0.928885i) q^{21} +(5.49670 - 5.00266i) q^{22} +(-1.60932 + 0.431217i) q^{23} +(-1.10888 + 2.60200i) q^{24} +(0.346357 - 1.29262i) q^{25} +(-0.873007 + 1.36016i) q^{26} +(-0.923880 - 0.382683i) q^{27} +(4.18870 - 3.23339i) q^{28} +(-1.11882 - 2.70107i) q^{29} +(-1.54470 - 2.22204i) q^{30} +(4.29210 + 7.43413i) q^{31} +(0.588368 - 5.62617i) q^{32} +(-4.55138 - 2.62774i) q^{33} +(-1.11738 + 2.37519i) q^{34} +(0.489978 + 5.03908i) q^{35} +(1.99116 + 0.187801i) q^{36} +(-2.79133 + 2.14186i) q^{37} +(8.21869 - 4.24307i) q^{38} +(1.10390 + 0.295789i) q^{39} +(4.26026 + 3.33832i) q^{40} +(-5.87510 - 5.87510i) q^{41} +(-3.07840 - 2.12684i) q^{42} +(-1.64819 - 0.682703i) q^{43} +(10.2462 + 2.34444i) q^{44} +(-1.16491 + 1.51814i) q^{45} +(-1.79982 - 1.52065i) q^{46} +(-0.0886328 - 0.0511722i) q^{47} +(-3.91655 + 0.812783i) q^{48} +(3.08039 + 6.28579i) q^{49} +(1.78058 - 0.641258i) q^{50} +(1.84020 + 0.242267i) q^{51} +(-2.28413 + 0.0842324i) q^{52} +(4.81250 - 0.633577i) q^{53} +(-0.301415 - 1.38172i) q^{54} +(-7.11122 + 7.11122i) q^{55} +(7.13585 + 2.25381i) q^{56} +(-4.62468 - 4.62468i) q^{57} +(2.23333 - 3.47957i) q^{58} +(0.411009 + 3.12192i) q^{59} +(1.33329 - 3.58740i) q^{60} +(-0.957949 + 7.27635i) q^{61} +(-5.16777 + 10.9850i) q^{62} +(-0.771170 + 2.53087i) q^{63} +(7.00804 - 3.85842i) q^{64} +(1.09346 - 1.89393i) q^{65} +(-0.622698 - 7.40625i) q^{66} +(-8.02820 - 6.16025i) q^{67} +(-3.66004 + 0.619835i) q^{68} +(-0.637587 + 1.53927i) q^{69} +(-5.45584 + 4.63667i) q^{70} +(6.41598 - 6.41598i) q^{71} +(1.38926 + 2.46373i) q^{72} +(-4.24299 + 15.8351i) q^{73} +(-4.74038 - 1.51230i) q^{74} +(-0.814658 - 1.06168i) q^{75} +(11.5614 + 6.11837i) q^{76} +(-5.75432 + 12.6581i) q^{77} +(0.547635 + 1.52062i) q^{78} +(5.92261 - 10.2583i) q^{79} +(-0.437425 + 7.64180i) q^{80} +(-0.866025 + 0.500000i) q^{81} +(2.07957 - 11.5647i) q^{82} +(6.78754 - 2.81149i) q^{83} +(-0.0153014 - 5.29148i) q^{84} +(1.35919 - 3.28139i) q^{85} +(-0.537720 - 2.46497i) q^{86} +(-2.82400 - 0.756689i) q^{87} +(5.54869 + 13.7903i) q^{88} +(-3.73199 - 13.9280i) q^{89} +(-2.70322 - 0.127198i) q^{90} +(0.496254 - 2.98267i) q^{91} +(0.312895 - 3.31746i) q^{92} +(8.51076 + 1.12046i) q^{93} +(-0.0121263 - 0.144228i) q^{94} +(-10.8386 + 6.25767i) q^{95} +(-4.10537 - 3.89178i) q^{96} +7.23473i q^{97} +(-4.81245 + 8.65103i) q^{98} +(-4.85544 + 2.01119i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 512 q+O(q^{10}) \) 512 * q	\( 512 q + 64 q^{14} + 8 q^{16} - 8 q^{18} - 16 q^{22} - 16 q^{23} - 40 q^{28} + 48 q^{35} + 32 q^{43} + 8 q^{44} + 48 q^{50} - 72 q^{52} + 32 q^{53} + 32 q^{58} - 192 q^{59} - 48 q^{60} + 144 q^{64} - 144 q^{66} - 16 q^{67} - 72 q^{70} + 128 q^{71} + 32 q^{74} + 48 q^{78} - 72 q^{80} - 120 q^{82} + 88 q^{88} - 48 q^{91} + 128 q^{92} - 72 q^{94} - 120 q^{96} - 136 q^{98}+O(q^{100}) \) 512 * q + 64 * q^14 + 8 * q^16 - 8 * q^18 - 16 * q^22 - 16 * q^23 - 40 * q^28 + 48 * q^35 + 32 * q^43 + 8 * q^44 + 48 * q^50 - 72 * q^52 + 32 * q^53 + 32 * q^58 - 192 * q^59 - 48 * q^60 + 144 * q^64 - 144 * q^66 - 16 * q^67 - 72 * q^70 + 128 * q^71 + 32 * q^74 + 48 * q^78 - 72 * q^80 - 120 * q^82 + 88 * q^88 - 48 * q^91 + 128 * q^92 - 72 * q^94 - 120 * q^96 - 136 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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