LMFDB - Embedded newform 672.2.cf.a.283.3

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			283.3
Character	$\chi$	$=$	672.283
Dual form			672.2.cf.a.19.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.40924 + 0.118485i) q^{2} +(0.991445 + 0.130526i) q^{3} +(1.97192 - 0.333949i) q^{4} +(-1.89721 + 0.249772i) q^{5} +(-1.41265 - 0.0664712i) q^{6} +(1.39993 + 2.24504i) q^{7} +(-2.73935 + 0.704258i) q^{8} +(0.965926 + 0.258819i) q^{9} +O(q^{10})$	\(q+(-1.40924 + 0.118485i) q^{2} +(0.991445 + 0.130526i) q^{3} +(1.97192 - 0.333949i) q^{4} +(-1.89721 + 0.249772i) q^{5} +(-1.41265 - 0.0664712i) q^{6} +(1.39993 + 2.24504i) q^{7} +(-2.73935 + 0.704258i) q^{8} +(0.965926 + 0.258819i) q^{9} +(2.64403 - 0.576780i) q^{10} +(-4.16946 + 3.19934i) q^{11} +(1.99864 - 0.0737043i) q^{12} +(-0.437347 - 1.05585i) q^{13} +(-2.23884 - 2.99793i) q^{14} -1.91358 q^{15} +(3.77696 - 1.31704i) q^{16} +(-0.928038 + 1.60741i) q^{17} +(-1.39189 - 0.250290i) q^{18} +(-5.18875 - 3.98147i) q^{19} +(-3.65773 + 1.12610i) q^{20} +(1.09492 + 2.40856i) q^{21} +(5.49670 - 5.00266i) q^{22} +(0.431217 - 1.60932i) q^{23} +(-2.80784 + 0.340677i) q^{24} +(-1.29262 + 0.346357i) q^{25} +(0.741430 + 1.43613i) q^{26} +(0.923880 + 0.382683i) q^{27} +(3.51028 + 3.95954i) q^{28} +(-1.11882 - 2.70107i) q^{29} +(2.69669 - 0.226731i) q^{30} +(-4.29210 + 7.43413i) q^{31} +(-5.16659 + 2.30354i) q^{32} +(-4.55138 + 2.62774i) q^{33} +(1.11738 - 2.37519i) q^{34} +(-3.21670 - 3.90964i) q^{35} +(1.99116 + 0.187801i) q^{36} +(-0.459243 - 3.48830i) q^{37} +(7.78395 + 4.99606i) q^{38} +(-0.295789 - 1.10390i) q^{39} +(5.02120 - 2.02034i) q^{40} +(5.87510 + 5.87510i) q^{41} +(-1.82838 - 3.26451i) q^{42} +(-1.64819 - 0.682703i) q^{43} +(-7.15343 + 7.70123i) q^{44} +(-1.89721 - 0.249772i) q^{45} +(-0.417007 + 2.31902i) 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} +(-1.12991 + 1.47252i) q^{51} +(-1.21501 - 1.93600i) q^{52} +(-2.95494 - 3.85095i) q^{53} +(-1.34731 - 0.429827i) q^{54} +(7.11122 - 7.11122i) q^{55} +(-5.41598 - 5.16403i) q^{56} +(-4.62468 - 4.62468i) q^{57} +(1.89673 + 3.67390i) q^{58} +(-2.49816 + 1.91690i) q^{59} +(-3.77343 + 0.639037i) q^{60} +(5.82253 + 4.46778i) 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} +(6.10265 - 4.24240i) q^{66} +(-1.32084 + 10.0327i) q^{67} +(-1.29323 + 3.47960i) q^{68} +(0.637587 - 1.53927i) q^{69} +(4.99635 + 5.12849i) q^{70} +(6.41598 - 6.41598i) q^{71} +(-2.82828 - 0.0287338i) q^{72} +(-15.8351 + 4.24299i) q^{73} +(1.06050 + 4.86144i) q^{74} +(-1.32677 + 0.174673i) q^{75} +(-11.5614 - 6.11837i) q^{76} +(-13.0196 - 4.88174i) q^{77} +(0.547635 + 1.52062i) q^{78} +(5.92261 + 10.2583i) q^{79} +(-6.83671 + 3.44208i) q^{80} +(0.866025 + 0.500000i) q^{81} +(-8.97554 - 7.58332i) q^{82} +(-6.78754 + 2.81149i) q^{83} +(2.96343 + 4.38385i) q^{84} +(1.35919 - 3.28139i) q^{85} +(2.40359 + 0.766807i) q^{86} +(-0.756689 - 2.82400i) q^{87} +(9.16843 - 11.7005i) q^{88} +(-13.9280 - 3.73199i) q^{89} +(2.70322 + 0.127198i) q^{90} +(1.75817 - 2.45997i) q^{91} +(0.312895 - 3.31746i) q^{92} +(-5.22573 + 6.81030i) q^{93} +(0.118842 - 0.0826156i) q^{94} +(10.8386 + 6.25767i) q^{95} +(-5.42306 + 1.60946i) q^{96} -7.23473i q^{97} +(3.59624 - 9.22318i) 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 $\left(\mathbb{Z}/672\mathbb{Z}\right)^\times$.

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

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 $

$2$	−1.40924	+	0.118485i	−0.996484	+	0.0837818i
$2$	−1.40924	+	0.118485i	−0.996484	+	0.0837818i
$3$	0.991445	+	0.130526i	0.572411	+	0.0753593i
$3$	0.991445	+	0.130526i	0.572411	+	0.0753593i
$4$	1.97192	−	0.333949i	0.985961	−	0.166974i
$5$	−1.89721	+	0.249772i	−0.848456	+	0.111701i	−0.542202	−	0.840248i	$-0.682409\pi$
$5$	−1.89721	+	0.249772i	−0.848456	+	0.111701i	−0.306255	+	0.951950i	$0.599076\pi$
$6$	−1.41265	−	0.0664712i	−0.576712	−	0.0271368i
$7$	1.39993	+	2.24504i	0.529124	+	0.848545i
$7$	1.39993	+	2.24504i	0.529124	+	0.848545i
$8$	−2.73935	+	0.704258i	−0.968505	+	0.248993i
$9$	0.965926	+	0.258819i	0.321975	+	0.0862730i
$10$	2.64403	−	0.576780i	0.836115	−	0.182394i
$11$	−4.16946	+	3.19934i	−1.25714	+	0.964637i	−0.999998	−	0.00173751i	$-0.999447\pi$
$11$	−4.16946	+	3.19934i	−1.25714	+	0.964637i	−0.257140	+	0.966374i	$0.582780\pi$
$12$	1.99864	−	0.0737043i	0.576958	−	0.0212766i
$13$	−0.437347	−	1.05585i	−0.121298	−	0.292840i	0.851554	−	0.524267i	$-0.175661\pi$
$13$	−0.437347	−	1.05585i	−0.121298	−	0.292840i	−0.972852	+	0.231427i	$0.925661\pi$
$14$	−2.23884	−	2.99793i	−0.598356	−	0.801230i
$15$	−1.91358			−0.494084
$16$	3.77696	−	1.31704i	0.944239	−	0.329261i
$17$	−0.928038	+	1.60741i	−0.225082	+	0.389854i	−0.956344	−	0.292243i	$-0.905598\pi$
$17$	−0.928038	+	1.60741i	−0.225082	+	0.389854i	0.731262	+	0.682097i	$0.238932\pi$
$18$	−1.39189	−	0.250290i	−0.328071	−	0.0589940i
$19$	−5.18875	−	3.98147i	−1.19038	−	0.913412i	−0.192686	−	0.981260i	$-0.561720\pi$
$19$	−5.18875	−	3.98147i	−1.19038	−	0.913412i	−0.997696	+	0.0678483i	$0.978387\pi$
$20$	−3.65773	+	1.12610i	−0.817894	+	0.251804i
$21$	1.09492	+	2.40856i	0.238930	+	0.525591i
$22$	5.49670	−	5.00266i	1.17190	−	1.06657i
$23$	0.431217	−	1.60932i	0.0899149	−	0.335567i	−0.906285	−	0.422668i	$-0.861094\pi$
$23$	0.431217	−	1.60932i	0.0899149	−	0.335567i	0.996199	+	0.0871010i	$0.0277603\pi$
$24$	−2.80784	+	0.340677i	−0.573147	+	0.0695404i
$25$	−1.29262	+	0.346357i	−0.258525	+	0.0692715i
$26$	0.741430	+	1.43613i	0.145406	+	0.281647i
$27$	0.923880	+	0.382683i	0.177801	+	0.0736475i
$28$	3.51028	+	3.95954i	0.663381	+	0.748282i
$29$	−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	$0.962504\pi$
$30$	2.69669	−	0.226731i	0.492346	−	0.0413952i
$31$	−4.29210	+	7.43413i	−0.770883	+	1.33521i	0.166196	+	0.986093i	$0.446852\pi$
$31$	−4.29210	+	7.43413i	−0.770883	+	1.33521i	−0.937079	+	0.349116i	$0.886482\pi$
$32$	−5.16659	+	2.30354i	−0.913333	+	0.407213i
$33$	−4.55138	+	2.62774i	−0.792294	+	0.457431i
$34$	1.11738	−	2.37519i	0.191628	−	0.407341i
$35$	−3.21670	−	3.90964i	−0.543722	−	0.660849i
$36$	1.99116	+	0.187801i	0.331861	+	0.0313002i
$37$	−0.459243	−	3.48830i	−0.0754991	−	0.573472i	−0.986826	−	0.161788i	$-0.948274\pi$
$37$	−0.459243	−	3.48830i	−0.0754991	−	0.573472i	0.911326	−	0.411684i	$-0.135059\pi$
$38$	7.78395	+	4.99606i	1.26272	+	0.810468i
$39$	−0.295789	−	1.10390i	−0.0473642	−	0.176766i
$40$	5.02120	−	2.02034i	0.793922	−	0.319443i
$41$	5.87510	+	5.87510i	0.917536	+	0.917536i	0.996850	−	0.0793135i	$-0.0252728\pi$
$41$	5.87510	+	5.87510i	0.917536	+	0.917536i	−0.0793135	+	0.996850i	$0.525273\pi$
$42$	−1.82838	−	3.26451i	−0.282125	−	0.503725i
$43$	−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	$0.668434\pi$
$44$	−7.15343	+	7.70123i	−1.07842	+	1.16100i
$45$	−1.89721	−	0.249772i	−0.282819	−	0.0372338i
$46$	−0.417007	+	2.31902i	−0.0614844	+	0.341921i
$47$	−0.0886328	+	0.0511722i	−0.0129284	+	0.00746423i	−0.506450	−	0.862269i	$-0.669043\pi$
$47$	−0.0886328	+	0.0511722i	−0.0129284	+	0.00746423i	0.493522	+	0.869733i	$0.335709\pi$
$48$	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
$51$	−1.12991	+	1.47252i	−0.158219	+	0.206195i
$52$	−1.21501	−	1.93600i	−0.168492	−	0.268475i
$53$	−2.95494	−	3.85095i	−0.405892	−	0.528969i	0.545023	−	0.838421i	$-0.316521\pi$
$53$	−2.95494	−	3.85095i	−0.405892	−	0.528969i	−0.950915	+	0.309452i	$0.899854\pi$
$54$	−1.34731	−	0.429827i	−0.183346	−	0.0584921i
$55$	7.11122	−	7.11122i	0.958876	−	0.958876i
$56$	−5.41598	−	5.16403i	−0.723741	−	0.690072i
$57$	−4.62468	−	4.62468i	−0.612553	−	0.612553i
$58$	1.89673	+	3.67390i	0.249053	+	0.482407i
$59$	−2.49816	+	1.91690i	−0.325232	+	0.249560i	−0.758452	−	0.651729i	$-0.774044\pi$
$59$	−2.49816	+	1.91690i	−0.325232	+	0.249560i	0.433220	+	0.901288i	$0.357377\pi$
$60$	−3.77343	+	0.639037i	−0.487147	+	0.0824993i
$61$	5.82253	+	4.46778i	0.745498	+	0.572041i	0.910134	−	0.414314i	$-0.135978\pi$
$61$	5.82253	+	4.46778i	0.745498	+	0.572041i	−0.164636	+	0.986354i	$0.552645\pi$
$62$	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
$66$	6.10265	−	4.24240i	0.751184	−	0.522203i
$67$	−1.32084	+	10.0327i	−0.161366	+	1.22570i	0.698663	+	0.715451i	$0.253779\pi$
$67$	−1.32084	+	10.0327i	−0.161366	+	1.22570i	−0.860029	+	0.510245i	$0.829555\pi$
$68$	−1.29323	+	3.47960i	−0.156827	+	0.421964i
$69$	0.637587	−	1.53927i	0.0767564	−	0.185306i
$70$	4.99635	+	5.12849i	0.597178	+	0.612972i
$71$	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	$0.0690225\pi$
$72$	−2.82828	−	0.0287338i	−0.333316	−	0.00338631i
$73$	−15.8351	+	4.24299i	−1.85335	+	0.496605i	−0.999706	−	0.0242465i	$-0.992281\pi$
$73$	−15.8351	+	4.24299i	−1.85335	+	0.496605i	−0.853648	+	0.520851i	$0.825615\pi$
$74$	1.06050	+	4.86144i	0.123280	+	0.565131i
$75$	−1.32677	+	0.174673i	−0.153203	+	0.0201695i
$76$	−11.5614	−	6.11837i	−1.32619	−	0.701826i
$77$	−13.0196	−	4.88174i	−1.48372	−	0.556326i
$78$	0.547635	+	1.52062i	0.0620074	+	0.172176i
$79$	5.92261	+	10.2583i	0.666345	+	1.15414i	0.978919	+	0.204250i	$0.0654757\pi$
$79$	5.92261	+	10.2583i	0.666345	+	1.15414i	−0.312573	+	0.949894i	$0.601191\pi$
$80$	−6.83671	+	3.44208i	−0.764367	+	0.384836i
$81$	0.866025	+	0.500000i	0.0962250	+	0.0555556i
$82$	−8.97554	−	7.58332i	−0.991183	−	0.837437i
$83$	−6.78754	+	2.81149i	−0.745029	+	0.308601i	−0.722712	−	0.691150i	$-0.757105\pi$
$83$	−6.78754	+	2.81149i	−0.745029	+	0.308601i	−0.0223177	+	0.999751i	$0.507105\pi$
$84$	2.96343	+	4.38385i	0.323336	+	0.478317i
$85$	1.35919	−	3.28139i	0.147425	−	0.355916i
$86$	2.40359	+	0.766807i	0.259186	+	0.0826869i
$87$	−0.756689	−	2.82400i	−0.0811256	−	0.302765i
$88$	9.16843	−	11.7005i	0.977358	−	1.24727i
$89$	−13.9280	−	3.73199i	−1.47636	−	0.395590i	−0.571254	−	0.820773i	$-0.693543\pi$
$89$	−13.9280	−	3.73199i	−1.47636	−	0.395590i	−0.905107	+	0.425184i	$0.860209\pi$
$90$	2.70322	+	0.127198i	0.284944	+	0.0134078i
$91$	1.75817	−	2.45997i	0.184306	−	0.257875i
$92$	0.312895	−	3.31746i	0.0326215	−	0.345870i
$93$	−5.22573	+	6.81030i	−0.541883	+	0.706195i
$94$	0.118842	−	0.0826156i	0.0122576	−	0.00852115i
$95$	10.8386	+	6.25767i	1.11202	+	0.642023i
$96$	−5.42306	+	1.60946i	−0.553489	+	0.164265i
$97$		−	7.23473i		−	0.734576i	−0.930107	−	0.367288i	$-0.880286\pi$
$97$		−	7.23473i		−	0.734576i	0.930107	−	0.367288i	$-0.119714\pi$
$98$	3.59624	−	9.22318i	0.363275	−	0.931682i
$99$	−4.85544	+	2.01119i	−0.487990	+	0.202132i
$100$	−2.43329	+	1.11466i	−0.243329	+	0.111466i
$101$	4.58865	+	5.98004i	0.456587	+	0.595036i	0.963748	−	0.266816i	$-0.0859715\pi$
$101$	4.58865	+	5.98004i	0.456587	+	0.595036i	−0.507160	+	0.861852i	$0.669305\pi$
$102$	1.41784	−	2.20902i	0.140387	−	0.218726i
$103$	−0.663980	+	2.47801i	−0.0654239	+	0.244165i	−0.990892	−	0.134661i	$-0.957006\pi$
$103$	−0.663980	+	2.47801i	−0.0654239	+	0.244165i	0.925468	+	0.378826i	$0.123672\pi$
$104$	1.94163	+	2.58433i	0.190393	+	0.253414i
$105$	−2.67887	−	4.29605i	−0.261431	−	0.419252i
$106$	4.62051	+	5.07681i	0.448783	+	0.493103i
$107$	2.33900	+	17.7665i	0.226120	+	1.71755i	0.608506	+	0.793549i	$0.291769\pi$
$107$	2.33900	+	17.7665i	0.226120	+	1.71755i	−0.382386	+	0.924003i	$0.624897\pi$
$108$	1.94962	+	0.446094i	0.187602	+	0.0429254i
$109$	1.89859	−	14.4212i	0.181852	−	1.38130i	−0.620384	−	0.784298i	$-0.713023\pi$
$109$	1.89859	−	14.4212i	0.181852	−	1.38130i	0.802236	−	0.597007i	$-0.203643\pi$
$110$	−9.17885	+	10.8640i	−0.875169	+	1.03584i
$111$		−	3.51840i		−	0.333951i
$112$	8.24428	+	6.63564i	0.779012	+	0.627009i
$113$			1.15975i			0.109100i	0.998511	+	0.0545501i	$0.0173725\pi$
$113$			1.15975i			0.109100i	−0.998511	+	0.0545501i	$0.982628\pi$
$114$	7.06524	+	5.96933i	0.661721	+	0.559079i
$115$	−0.416144	+	3.16092i	−0.0388056	+	0.294758i
$116$	−3.10825	−	4.95268i	−0.288594	−	0.459845i
$117$	−0.149171	−	1.13306i	−0.0137908	−	0.104752i
$118$	3.29338	−	2.99738i	0.303180	−	0.275931i
$119$	−4.90788	+	0.166779i	−0.449905	+	0.0152886i
$120$	5.24195	−	1.34765i	0.478523	−	0.123023i
$121$	4.30161	−	16.0538i	0.391055	−	1.45944i
$122$	−8.73471	−	5.60630i	−0.790804	−	0.507571i
$123$	5.05798	+	6.59169i	0.456063	+	0.594353i
$124$	−5.98106	+	16.0929i	−0.537115	+	1.44518i
$125$	11.2054	−	4.64144i	1.00224	−	0.415143i
$126$	−1.38664	−	3.47523i	−0.123531	−	0.309598i
$127$			13.3941i			1.18853i	0.804269	+	0.594266i	$0.202557\pi$
$127$			13.3941i			1.18853i	−0.804269	+	0.594266i	$0.797443\pi$
$128$	−9.41885	+	6.26779i	−0.832517	+	0.553999i
$129$	−1.54498	−	0.891994i	−0.136028	−	0.0785357i
$130$	−1.76535	−	2.53944i	−0.154831	−	0.222724i
$131$	8.53465	−	11.1226i	0.745676	−	0.971784i	−0.254313	−	0.967122i	$-0.581849\pi$
$131$	8.53465	−	11.1226i	0.745676	−	0.971784i	0.999989	−	0.00466171i	$-0.00148387\pi$
$132$	−8.09745	+	6.70164i	−0.704792	+	0.583303i
$133$	1.67466	−	17.2227i	0.145212	−	1.49340i
$134$	0.672644	−	14.2951i	0.0581076	−	1.23491i
$135$	−1.84837	−	0.495270i	−0.159083	−	0.0426261i
$136$	1.41019	−	5.05683i	0.120923	−	0.433620i
$137$	1.46836	+	5.48000i	0.125451	+	0.468188i	0.999855	−	0.0170093i	$-0.00541450\pi$
$137$	1.46836	+	5.48000i	0.125451	+	0.468188i	−0.874405	+	0.485197i	$0.838748\pi$
$138$	−0.716132	+	2.24475i	−0.0609612	+	0.191086i
$139$	−1.06772	+	2.57770i	−0.0905626	+	0.218637i	−0.962670	−	0.270676i	$-0.912753\pi$
$139$	−1.06772	+	2.57770i	−0.0905626	+	0.218637i	0.872108	+	0.489314i	$0.162753\pi$
$140$	−7.64871	−	6.63529i	−0.646434	−	0.560784i
$141$	−0.0945538	+	0.0391655i	−0.00796287	+	0.00329833i
$142$	−8.28147	+	9.80187i	−0.694965	+	0.822554i
$143$	5.20151	+	3.00310i	0.434972	+	0.251131i
$144$	3.98914	−	0.294617i	0.332428	−	0.0245514i
$145$	2.79729	+	4.84505i	0.232302	+	0.402359i
$146$	21.8127	−	7.85562i	1.80523	−	0.650136i
$147$	−3.87450	+	5.82994i	−0.319563	+	0.480846i
$148$	−2.07050	−	6.72529i	−0.170194	−	0.552815i
$149$	15.5487	−	2.04702i	1.27380	−	0.167698i	0.536866	−	0.843667i	$-0.319608\pi$
$149$	15.5487	−	2.04702i	1.27380	−	0.167698i	0.736930	+	0.675969i	$0.236275\pi$
$150$	1.84905	−	0.403360i	0.150974	−	0.0329342i
$151$	6.76891	−	1.81372i	0.550846	−	0.147599i	0.0273484	−	0.999626i	$-0.491294\pi$
$151$	6.76891	−	1.81372i	0.550846	−	0.147599i	0.523497	+	0.852027i	$0.324627\pi$
$152$	17.0178	+	7.25241i	1.38032	+	0.588248i
$153$	−1.31244	+	1.31244i	−0.106105	+	0.106105i
$154$	18.9262	+	5.33693i	1.52511	+	0.430062i
$155$	6.28616	−	15.1761i	0.504916	−	1.21898i
$156$	−0.951920	−	2.07803i	−0.0762146	−	0.166375i
$157$	0.624083	−	4.74038i	0.0498072	−	0.378324i	−0.948328	−	0.317290i	$-0.897227\pi$
$157$	0.624083	−	4.74038i	0.0498072	−	0.378324i	0.998136	−	0.0610333i	$-0.0194396\pi$
$158$	−9.56184	−	13.7546i	−0.760699	−	1.09426i
$159$	−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
$163$	17.3681	+	13.3270i	1.36038	+	1.04385i	0.993530	+	0.113574i	$0.0362298\pi$
$163$	17.3681	+	13.3270i	1.36038	+	1.04385i	0.366848	+	0.930281i	$0.380437\pi$
$164$	13.5472	+	9.62326i	1.05786	+	0.751450i
$165$	7.97858	−	6.12218i	0.621132	−	0.476611i
$166$	9.23216	−	4.76629i	0.716555	−	0.369936i
$167$	3.08373	+	3.08373i	0.238626	+	0.238626i	0.816281	−	0.577655i	$-0.196032\pi$
$167$	3.08373	+	3.08373i	0.238626	+	0.238626i	−0.577655	+	0.816281i	$0.696032\pi$
$168$	−4.69560	−	5.82677i	−0.362274	−	0.449545i
$169$	8.26884	−	8.26884i	0.636065	−	0.636065i
$170$	−1.52664	+	4.78531i	−0.117088	+	0.367016i
$171$	−3.98147	−	5.18875i	−0.304471	−	0.396794i
$172$	−3.47809	−	0.795826i	−0.265202	−	0.0606812i
$173$	2.12806	−	2.77334i	0.161793	−	0.210853i	−0.705421	−	0.708789i	$-0.749242\pi$
$173$	2.12806	−	2.77334i	0.161793	−	0.210853i	0.867214	+	0.497936i	$0.165909\pi$
$174$	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
$178$	20.0700	+	3.60901i	1.50431	+	0.270507i
$179$	2.22505	+	0.292934i	0.166308	+	0.0218949i	0.213220	−	0.977004i	$-0.431605\pi$
$179$	2.22505	+	0.292934i	0.166308	+	0.0218949i	−0.0469121	+	0.998899i	$0.514938\pi$
$180$	−3.82455	+	0.141039i	−0.285065	+	0.0105124i
$181$	−12.4082	−	5.13966i	−0.922297	−	0.382028i	−0.129546	−	0.991573i	$-0.541352\pi$
$181$	−12.4082	−	5.13966i	−0.922297	−	0.382028i	−0.792751	+	0.609545i	$0.791352\pi$
$182$	−2.18621	+	3.67501i	−0.162053	+	0.272410i
$183$	5.18955	+	5.18955i	0.383623	+	0.383623i
$184$	−0.0478731	+	4.71218i	−0.00352925	+	0.347387i
$185$	1.74256	+	6.50331i	0.128115	+	0.478133i
$186$	6.55739	−	10.2165i	0.480811	−	0.749112i
$187$	−1.27323	−	9.67114i	−0.0931077	−	0.707223i
$188$	−0.157688	+	0.130506i	−0.0115006	+	0.00951815i
$189$	0.434228	+	2.60987i	0.0315854	+	0.189840i
$190$	−16.0156	−	7.53435i	−1.16190	−	0.546599i
$191$	21.8708	−	12.6271i	1.58252	−	0.913667i	0.588027	−	0.808841i	$-0.299905\pi$
$191$	21.8708	−	12.6271i	1.58252	−	0.913667i	0.994491	−	0.104826i	$-0.0334285\pi$
$192$	7.45171	−	2.91067i	0.537781	−	0.210060i
$193$	2.83018	−	4.90202i	0.203721	−	0.352855i	−0.746003	−	0.665942i	$-0.768030\pi$
$193$	2.83018	−	4.90202i	0.203721	−	0.352855i	0.949724	+	0.313087i	$0.101363\pi$
$194$	0.857210	+	10.1955i	0.0615441	+	0.731993i
$195$	0.836897	+	2.02045i	0.0599314	+	0.144687i
$196$	−3.97516	+	13.4238i	−0.283940	+	0.958842i
$197$	−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	$0.716383\pi$
$198$	6.60419	−	3.40955i	0.469339	−	0.242306i
$199$	22.0186	−	5.89986i	1.56086	−	0.418230i	0.627922	−	0.778276i	$-0.283906\pi$
$199$	22.0186	−	5.89986i	1.56086	−	0.418230i	0.932935	+	0.360046i	$0.117239\pi$
$200$	3.29702	−	1.85913i	0.233134	−	0.131461i
$201$	−2.61907	+	9.77451i	−0.184735	+	0.689441i
$202$	−7.17506	−	7.88363i	−0.504835	−	0.554690i
$203$	4.49774	−	6.29311i	0.315680	−	0.441690i
$204$	−1.73634	+	3.28104i	−0.121568	+	0.229718i
$205$	−12.6137	−	9.67884i	−0.880980	−	0.675999i
$206$	0.642101	−	3.57078i	0.0447373	−	0.248788i
$207$	0.833047	−	1.44288i	0.0579008	−	0.100287i
$208$	−3.04244	−	3.41189i	−0.210955	−	0.236572i
$209$	34.3724			2.37759
$210$	4.28420	+	5.73677i	0.295638	+	0.395875i
$211$	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	$0.634577\pi$
$212$	−7.11294	−	6.60698i	−0.488519	−	0.453770i
$213$	7.19855	−	5.52364i	0.493236	−	0.378473i
$214$	−5.40129	−	24.7601i	−0.369225	−	1.69257i
$215$	3.29748	+	0.883557i	0.224886	+	0.0602581i
$216$	−2.80033	−	0.397653i	−0.190539	−	0.0270568i
$217$	−22.6985	+	0.771339i	−1.54088	+	0.0523619i
$218$	−0.966870	+	20.5480i	−0.0654847	+	1.39168i
$219$	−16.2534	+	2.13980i	−1.09830	+	0.144594i
$220$	11.6480	−	16.3976i	0.785307	−	1.10552i
$221$	2.10306	+	0.276873i	0.141467	+	0.0186245i
$222$	0.416878	+	4.95827i	0.0279790	+	0.332777i
$223$	1.66656			0.111601			0.0558007	−	0.998442i	$-0.482229\pi$
$223$	1.66656			0.111601			0.0558007	+	0.998442i	$0.482229\pi$
$224$	−12.4044	−	8.37440i	−0.828805	−	0.559538i
$225$	−1.33822			−0.0892148
$226$	−0.137413	−	1.63437i	−0.00914060	−	0.108717i
$227$	10.6643	+	1.40398i	0.707813	+	0.0931853i	0.475834	−	0.879535i	$-0.342146\pi$
$227$	10.6643	+	1.40398i	0.707813	+	0.0931853i	0.231979	+	0.972721i	$0.425480\pi$
$228$	−10.6639	−	7.57510i	−0.706235	−	0.501673i
$229$	−11.9689	+	1.57574i	−0.790930	+	0.104128i	−0.515158	−	0.857095i	$-0.672267\pi$
$229$	−11.9689	+	1.57574i	−0.790930	+	0.104128i	−0.275772	+	0.961223i	$0.588933\pi$
$230$	0.211924	−	4.50381i	0.0139738	−	0.296973i
$231$	−12.2710	−	6.53938i	−0.807373	−	0.430259i
$232$	4.96710	+	6.61124i	0.326106	+	0.434049i
$233$	−3.91150	−	1.04808i	−0.256251	−	0.0686622i	0.128407	−	0.991722i	$-0.459014\pi$
$233$	−3.91150	−	1.04808i	−0.256251	−	0.0686622i	−0.384657	+	0.923059i	$0.625680\pi$
$234$	0.344469	+	1.57909i	0.0225187	+	0.103228i
$235$	0.155373	−	0.119222i	0.0101354	−	0.00777719i
$236$	−4.28603	+	4.61424i	−0.278996	+	0.300362i
$237$	4.53297	+	10.9436i	0.294448	+	0.710860i
$238$	6.89663	−	0.816544i	0.447042	−	0.0529287i
$239$	−26.7888			−1.73282			−0.866410	−	0.499333i	$-0.833579\pi$
$239$	−26.7888			−1.73282			−0.866410	+	0.499333i	$0.833579\pi$
$240$	−7.22750	+	2.52026i	−0.466533	+	0.162682i
$241$	−9.73278	+	16.8577i	−0.626943	+	1.08590i	0.361218	+	0.932481i	$0.382361\pi$
$241$	−9.73278	+	16.8577i	−0.626943	+	1.08590i	−0.988162	+	0.153416i	$0.950972\pi$
$242$	−4.15986	+	23.1334i	−0.267406	+	1.48707i
$243$	0.793353	+	0.608761i	0.0508936	+	0.0390521i
$244$	12.9736	+	6.86569i	0.830549	+	0.439531i
$245$	4.27413	−	12.6948i	0.273064	−	0.811044i
$246$	−7.90894	−	8.68999i	−0.504255	−	0.554053i
$247$	−1.93455	+	7.21982i	−0.123092	+	0.459386i
$248$	6.52199	−	23.3874i	0.414147	−	1.48510i
$249$	−7.09645	+	1.90149i	−0.449719	+	0.120502i
$250$	−15.2412	+	7.86859i	−0.963940	+	0.497654i
$251$	−20.4098	−	8.45403i	−1.28826	−	0.533614i	−0.369792	−	0.929115i	$-0.620571\pi$
$251$	−20.4098	−	8.45403i	−1.28826	−	0.533614i	−0.918466	+	0.395501i	$0.870571\pi$
$252$	2.36587	+	4.73315i	0.149036	+	0.298160i
$253$	3.35083	+	8.08961i	0.210665	+	0.508590i
$254$	−1.58700	−	18.8755i	−0.0995773	−	1.18435i
$255$	1.77587	−	3.07590i	0.111209	−	0.192620i
$256$	12.5308	−	9.94882i	0.783175	−	0.621801i
$257$	3.75538	−	2.16817i	0.234254	−	0.135247i	−0.378279	−	0.925692i	$-0.623484\pi$
$257$	3.75538	−	2.16817i	0.234254	−	0.135247i	0.612533	+	0.790445i	$0.290151\pi$
$258$	2.28294	+	1.07398i	0.142129	+	0.0668629i
$259$	7.18845	−	5.91439i	0.446669	−	0.367502i
$260$	2.78869	+	3.36951i	0.172947	+	0.208968i
$261$	−0.381609	−	2.89861i	−0.0236210	−	0.179419i
$262$	−10.7095	+	16.6856i	−0.661636	+	1.03084i
$263$	−3.82839	−	14.2877i	−0.236068	−	0.881019i	−0.977664	−	0.210172i	$-0.932597\pi$
$263$	−3.82839	−	14.2877i	−0.236068	−	0.881019i	0.741596	−	0.670847i	$-0.234069\pi$
$264$	10.6172	−	10.4037i	0.653444	−	0.640300i
$265$	6.56799	+	6.56799i	0.403469	+	0.403469i
$266$	−0.319363	+	24.4694i	−0.0195814	+	1.50032i
$267$	−13.3217	−	5.51802i	−0.815274	−	0.337697i
$268$	0.745838	+	20.2249i	0.0455593	+	1.23543i
$269$	−10.5696	−	1.39152i	−0.644441	−	0.0848423i	−0.198780	−	0.980044i	$-0.563698\pi$
$269$	−10.5696	−	1.39152i	−0.644441	−	0.0848423i	−0.445661	+	0.895202i	$0.647031\pi$
$270$	2.66349	+	0.478950i	0.162095	+	0.0291480i
$271$	−12.9571	+	7.48076i	−0.787085	+	0.454424i	−0.838935	−	0.544231i	$-0.816821\pi$
$271$	−12.9571	+	7.48076i	−0.787085	+	0.454424i	0.0518505	+	0.998655i	$0.483488\pi$
$272$	−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
$275$	4.28142	−	5.57966i	0.258180	−	0.336466i
$276$	0.743234	−	3.24824i	0.0447374	−	0.195521i
$277$	−0.658691	−	0.858423i	−0.0395769	−	0.0515776i	0.773146	−	0.634229i	$-0.218682\pi$
$277$	−0.658691	−	0.858423i	−0.0395769	−	0.0515776i	−0.812723	+	0.582651i	$0.802015\pi$
$278$	1.19925	−	3.75911i	0.0719264	−	0.225456i
$279$	−6.06994	+	6.06994i	−0.363398	+	0.363398i
$280$	11.5651	+	8.44446i	0.691145	+	0.504653i
$281$	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	$0.593194\pi$
$282$	0.128609	−	0.0663969i	0.00765853	−	0.00395387i
$283$	−4.76099	+	3.65323i	−0.283011	+	0.217162i	−0.740505	−	0.672051i	$-0.765414\pi$
$283$	−4.76099	+	3.65323i	−0.283011	+	0.217162i	0.457494	+	0.889213i	$0.348747\pi$
$284$	10.5092	−	14.7944i	0.623607	−	0.877888i
$285$	9.92908	+	7.61885i	0.588148	+	0.451302i
$286$	−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
$290$	−4.51612	−	6.49640i	−0.265196	−	0.381482i
$291$	0.944322	−	7.17284i	0.0553572	−	0.420479i
$292$	−29.8086	+	13.6549i	−1.74441	+	0.799095i
$293$	−4.43548	+	10.7082i	−0.259123	+	0.625579i	−0.998881	−	0.0472944i	$-0.984940\pi$
$293$	−4.43548	+	10.7082i	−0.259123	+	0.625579i	0.739758	+	0.672873i	$0.234940\pi$
$294$	4.76934	−	8.67487i	0.278154	−	0.505929i
$295$	4.26073	−	4.26073i	0.248069	−	0.248069i
$296$	3.71469	+	9.23223i	0.215912	+	0.536612i
$297$	−5.07641	+	1.36022i	−0.294563	+	0.0789280i
$298$	−21.6693	+	4.72703i	−1.25527	+	0.273830i
$299$	−1.88779	+	0.248533i	−0.109174	+	0.0143730i
$300$	−2.55796	+	0.787516i	−0.147684	+	0.0454673i
$301$	−0.774657	−	4.65599i	−0.0446505	−	0.268367i
$302$	−9.32412	+	3.35799i	−0.536543	+	0.193231i
$303$	3.76884	+	6.52782i	0.216514	+	0.375013i
$304$	−24.8415	−	8.20403i	−1.42476	−	0.470534i
$305$	−12.1625	−	7.02200i	−0.696421	−	0.402079i
$306$	1.69405	−	2.00506i	0.0968421	−	0.114621i
$307$	−27.1332	+	11.2389i	−1.54857	+	0.641439i	−0.983057	−	0.183299i	$-0.941322\pi$
$307$	−27.1332	+	11.2389i	−1.54857	+	0.641439i	−0.565515	+	0.824738i	$0.691322\pi$
$308$	−27.3039	−	5.27855i	−1.55578	−	0.300773i
$309$	−0.981744	+	2.37014i	−0.0558495	+	0.134833i
$310$	−7.06056	+	22.1316i	−0.401013	+	1.25699i
$311$	4.84419	+	18.0788i	0.274689	+	1.02515i	0.956050	+	0.293205i	$0.0947217\pi$
$311$	4.84419	+	18.0788i	0.274689	+	1.02515i	−0.681361	+	0.731948i	$0.738612\pi$
$312$	1.58770	+	2.81565i	0.0898859	+	0.159405i
$313$	−2.30774	−	0.618356i	−0.130441	−	0.0349516i	0.193008	−	0.981197i	$-0.438176\pi$
$313$	−2.30774	−	0.618356i	−0.130441	−	0.0349516i	−0.323449	+	0.946246i	$0.604842\pi$
$314$	−0.317818	+	6.75429i	−0.0179355	+	0.381166i
$315$	−2.09521	−	4.60896i	−0.118052	−	0.259686i
$316$	15.1047	+	18.2506i	0.849703	+	1.02668i
$317$	−12.0676	+	15.7268i	−0.677784	+	0.883306i	−0.997946	−	0.0640571i	$-0.979596\pi$
$317$	−12.0676	+	15.7268i	−0.677784	+	0.883306i	0.320162	+	0.947363i	$0.396263\pi$
$318$	3.91832	+	5.63647i	0.219729	+	0.316078i
$319$	13.3065	+	7.68253i	0.745023	+	0.430139i
$320$	−12.3320	+	9.07062i	−0.689378	+	0.507063i
$321$			17.9198i			1.00019i
$322$	−5.79006	+	2.31026i	−0.322668	+	0.128746i
$323$	11.2152	−	4.64550i	0.624031	−	0.258482i
$324$	1.87471	+	0.696753i	0.104151	+	0.0387085i
$325$	0.931025	+	1.21334i	0.0516440	+	0.0673038i
$326$	−26.0550	−	16.7232i	−1.44305	−	0.926210i
$327$	3.76470	−	14.0501i	0.208188	−	0.776970i
$328$	−20.2315	−	11.9563i	−1.11710	−	0.660179i
$329$	−0.238963	−	0.127347i	−0.0131745	−	0.00702084i
$330$	−10.5184	+	9.57297i	−0.579016	+	0.526975i
$331$	−0.431233	−	3.27554i	−0.0237027	−	0.180040i	0.975498	−	0.220007i	$-0.0706080\pi$
$331$	−0.431233	−	3.27554i	−0.0237027	−	0.180040i	−0.999201	+	0.0399671i	$0.987275\pi$
$332$	−12.4456	+	7.81073i	−0.683042	+	0.428670i
$333$	0.459243	−	3.48830i	0.0251664	−	0.191157i
$334$	−4.71110	−	3.98035i	−0.257780	−	0.217795i
$335$		−	19.3641i		−	1.05797i
$336$	7.30763	+	7.65497i	0.398664	+	0.417613i
$337$		−	30.6757i		−	1.67101i	−0.549482	−	0.835506i	$-0.685175\pi$
$337$		−	30.6757i		−	1.67101i	0.549482	−	0.835506i	$-0.314825\pi$
$338$	−10.6731	+	12.6325i	−0.580538	+	0.687119i
$339$	−0.151378	+	1.14983i	−0.00822172	+	0.0624501i
$340$	1.58441	−	6.92454i	0.0859268	−	0.375536i
$341$	−5.88857	−	44.7282i	−0.318884	−	2.42217i
$342$	6.22564	+	6.84046i	0.336644	+	0.369890i
$343$	−18.4242	+	1.88407i	−0.994812	+	0.101730i
$344$	4.99577	+	0.709408i	0.269354	+	0.0382487i
$345$	−0.825167	+	3.07956i	−0.0444255	+	0.165798i
$346$	−2.67034	+	4.16044i	−0.143559	+	0.223667i
$347$	−0.681848	−	0.888601i	−0.0366035	−	0.0477026i	0.774693	−	0.632338i	$-0.217904\pi$
$347$	−0.681848	−	0.888601i	−0.0366035	−	0.0477026i	−0.811296	+	0.584635i	$0.801238\pi$
$348$	−2.43520	−	5.31602i	−0.130541	−	0.284968i
$349$	4.92049	−	2.03813i	0.263388	−	0.109099i	−0.247082	−	0.968995i	$-0.579472\pi$
$349$	4.92049	−	2.03813i	0.263388	−	0.109099i	0.510469	+	0.859896i	$0.329472\pi$
$350$	3.93234	+	3.09975i	0.210192	+	0.165689i
$351$		−	1.14284i		−	0.0610004i
$352$	14.1721	−	26.1342i	0.755374	−	1.39296i
$353$	16.8101	+	9.70530i	0.894710	+	0.516561i	0.875480	−	0.483254i	$-0.160545\pi$
$353$	16.8101	+	9.70530i	0.894710	+	0.516561i	0.0192296	+	0.999815i	$0.493879\pi$
$354$	3.65644	−	2.54186i	0.194338	−	0.135098i
$355$	−10.5699	+	13.7750i	−0.560992	+	0.731100i
$356$	−28.7112	−	2.70796i	−1.52169	−	0.143522i
$357$	−4.88767	−	0.475255i	−0.258683	−	0.0251532i
$358$	−3.17035	−	0.149178i	−0.167558	−	0.00788432i
$359$	35.2474	+	9.44450i	1.86028	+	0.498462i	0.999937	−	0.0112455i	$-0.00357964\pi$
$359$	35.2474	+	9.44450i	1.86028	+	0.498462i	0.860348	+	0.509707i	$0.170246\pi$
$360$	5.37301	−	0.651911i	0.283182	−	0.0343588i
$361$	6.15350	+	22.9652i	0.323868	+	1.20869i
$362$	18.0952	+	5.77283i	0.951061	+	0.303413i
$363$	6.36025	−	15.3550i	0.333827	−	0.805929i
$364$	2.64546	−	5.43801i	0.138660	−	0.285029i
$365$	28.9826	−	12.0050i	1.51702	−	0.628370i
$366$	−7.92822	−	6.69845i	−0.414415	−	0.350133i
$367$	−7.12681	−	4.11466i	−0.372016	−	0.214784i	0.302323	−	0.953206i	$-0.402238\pi$
$367$	−7.12681	−	4.11466i	−0.372016	−	0.214784i	−0.674339	+	0.738422i	$0.735571\pi$
$368$	−0.490860	−	6.64627i	−0.0255878	−	0.346461i
$369$	4.15432	+	7.19550i	0.216265	+	0.374583i
$370$	−3.22623	−	8.95827i	−0.167724	−	0.465718i
$371$	4.50883	−	12.0250i	0.234087	−	0.624308i
$372$	−8.03044	+	15.1745i	−0.416359	+	0.786762i
$373$	−23.7190	+	3.12267i	−1.22812	+	0.161686i	−0.716539	−	0.697547i	$-0.754275\pi$
$373$	−23.7190	+	3.12267i	−1.22812	+	0.161686i	−0.511585	+	0.859233i	$0.670941\pi$
$374$	2.94017	+	13.4781i	0.152033	+	0.696936i
$375$	11.7154	−	3.13913i	0.604981	−	0.162104i
$376$	0.206757	−	0.202599i	0.0106627	−	0.0104482i
$377$	−2.36261	+	2.36261i	−0.121681	+	0.121681i
$378$	−0.921163	−	3.62649i	−0.0473795	−	0.186527i
$379$	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	$-0.250814\pi$
$380$	23.4626	+	8.72010i	1.20361	+	0.447332i
$381$	−1.74828	+	13.2795i	−0.0895670	+	0.680329i
$382$	−29.3251	+	20.3860i	−1.50041	+	1.04304i
$383$	4.24340	+	7.34978i	0.216828	+	0.375556i	0.953836	−	0.300327i	$-0.0970957\pi$
$383$	4.24340	+	7.34978i	0.216828	+	0.375556i	−0.737009	+	0.675883i	$0.763762\pi$
$384$	−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
$387$	−1.41533	−	1.08602i	−0.0719454	−	0.0552057i
$388$	−2.41603	−	14.2663i	−0.122655	−	0.724263i
$389$	6.72503	−	5.16030i	0.340973	−	0.261637i	−0.424053	−	0.905637i	$-0.639393\pi$
$389$	6.72503	−	5.16030i	0.340973	−	0.261637i	0.765026	+	0.644000i	$0.222726\pi$
$390$	−1.41878	−	2.74814i	−0.0718429	−	0.139157i
$391$	2.18666	+	2.18666i	0.110584	+	0.110584i
$392$	4.01144	−	19.3884i	0.202608	−	0.979260i
$393$	9.91342	−	9.91342i	0.500066	−	0.500066i
$394$	10.7094	+	3.41658i	0.539533	+	0.172125i
$395$	−13.7986	−	17.9827i	−0.694285	−	0.904809i
$396$	−8.90291	+	5.58737i	−0.447388	+	0.280776i
$397$	−8.02809	+	10.4624i	−0.402918	+	0.525093i	−0.950110	−	0.311914i	$-0.899030\pi$
$397$	−8.02809	+	10.4624i	−0.402918	+	0.525093i	0.547192	+	0.837007i	$0.315697\pi$
$398$	−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	$-0.631211\pi$
$401$	3.85536	−	2.22589i	0.192528	−	0.111156i	0.593165	+	0.805081i	$0.297878\pi$
$402$	2.53277	−	14.0850i	0.126323	−	0.702494i
$403$	9.72645	+	1.28051i	0.484509	+	0.0637868i
$404$	11.0455	+	10.2598i	0.549533	+	0.510444i
$405$	−1.76791	−	0.732294i	−0.0878484	−	0.0363880i
$406$	−5.59277	+	9.40143i	−0.277564	+	0.466585i
$407$	13.0750	+	13.0750i	0.648105	+	0.648105i
$408$	2.05817	−	4.82950i	0.101895	−	0.239096i
$409$	−10.3934	−	38.7886i	−0.513919	−	1.91797i	−0.372544	−	0.928015i	$-0.621514\pi$
$409$	−10.3934	−	38.7886i	−0.513919	−	1.91797i	−0.141375	−	0.989956i	$-0.545152\pi$
$410$	18.9226	+	12.1453i	0.934519	+	0.599813i
$411$	0.740516	+	5.62477i	0.0365269	+	0.277450i
$412$	−0.481790	+	5.10817i	−0.0237361	+	0.251662i
$413$	−7.80077	−	2.92493i	−0.383851	−	0.143926i
$414$	−1.00300	+	2.13207i	−0.0492950	+	0.104786i
$415$	12.1751	−	7.02932i	0.597654	−	0.345056i
$416$	4.69179	+	4.44769i	0.230034	+	0.218066i
$417$	−1.39504	+	2.41628i	−0.0683154	+	0.118326i
$418$	−48.4390	+	4.07262i	−2.36923	+	0.199198i
$419$	−7.99709	−	19.3067i	−0.390684	−	0.943193i	−0.989791	−	0.142525i	$-0.954478\pi$
$419$	−7.99709	−	19.3067i	−0.390684	−	0.943193i	0.599108	−	0.800668i	$-0.295522\pi$
$420$	−6.71719	−	7.57688i	−0.327766	−	0.369714i
$421$	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	$0.504317\pi$
$422$	−12.9203	−	25.0262i	−0.628949	−	1.21825i
$423$	−0.0988570	+	0.0264887i	−0.00480659	+	0.00128792i
$424$	10.8067	+	8.46806i	0.524819	+	0.411245i
$425$	0.642866	−	2.39921i	0.0311836	−	0.116379i
$426$	−9.49002	+	8.63706i	−0.459793	+	0.418467i
$427$	−1.87921	+	19.3264i	−0.0909415	+	0.935269i
$428$	10.5454	+	34.2530i	0.509733	+	1.65568i
$429$	4.76503	+	3.65634i	0.230058	+	0.176530i
$430$	−4.75163	−	0.854442i	−0.229144	−	0.0412048i
$431$	−16.6033	+	28.7578i	−0.799754	+	1.38521i	0.120023	+	0.992771i	$0.461703\pi$
$431$	−16.6033	+	28.7578i	−0.799754	+	1.38521i	−0.919776	+	0.392443i	$0.871630\pi$
$432$	3.99346	+	0.228590i	0.192136	+	0.0109980i
$433$	−32.0719			−1.54128			−0.770638	−	0.637273i	$-0.780062\pi$
$433$	−32.0719			−1.54128			−0.770638	+	0.637273i	$0.780062\pi$
$434$	31.8963	−	3.77645i	1.53107	−	0.181275i
$435$	2.14095	+	5.16872i	0.102651	+	0.247821i
$436$	−1.07208	−	29.0716i	−0.0513433	−	1.39228i
$437$	−8.64495	+	6.63350i	−0.413544	+	0.317324i
$438$	22.6514	−	4.94129i	1.08233	−	0.236104i
$439$	21.3309	+	5.71561i	1.01807	+	0.272791i	0.728998	−	0.684516i	$-0.239986\pi$
$439$	21.3309	+	5.71561i	1.01807	+	0.272791i	0.289073	+	0.957307i	$0.406653\pi$
$440$	−14.4720	+	24.4882i	−0.689923	+	1.16743i
$441$	−4.60231	+	5.27434i	−0.219158	+	0.251159i
$442$	−2.99652	−	0.140999i	−0.142530	−	0.00670664i
$443$	2.16253	−	0.284703i	0.102745	−	0.0135266i	−0.0789783	−	0.996876i	$-0.525166\pi$
$443$	2.16253	−	0.284703i	0.102745	−	0.0135266i	0.181723	+	0.983350i	$0.441832\pi$
$444$	−1.17496	−	6.93800i	−0.0557613	−	0.329263i
$445$	27.3564	+	3.60153i	1.29682	+	0.170729i
$446$	−2.34859	+	0.197463i	−0.111209	+	0.00935016i
$447$	15.6828			0.741773
$448$	18.4731	+	10.3318i	0.872770	+	0.488132i
$449$	21.2593			1.00329			0.501645	−	0.865074i	$-0.332728\pi$
$449$	21.2593			1.00329			0.501645	+	0.865074i	$0.332728\pi$
$450$	1.88588	−	0.158560i	0.0889011	−	0.00747457i
$451$	−43.2924	−	5.69955i	−2.03856	−	0.268381i
$452$	0.387297	+	2.28694i	0.0182169	+	0.107569i
$453$	6.94773	−	0.914687i	0.326433	−	0.0429757i
$454$	−15.1949	−	0.714985i	−0.713132	−	0.0335559i
$455$	−2.72117	+	5.10622i	−0.127570	+	0.239383i
$456$	15.9256	+	9.41163i	0.745783	+	0.440740i
$457$	−9.23857	−	2.47547i	−0.432162	−	0.115797i	0.0361788	−	0.999345i	$-0.488481\pi$
$457$	−9.23857	−	2.47547i	−0.432162	−	0.115797i	−0.468341	+	0.883548i	$0.655148\pi$
$458$	16.6804	−	3.63874i	0.779425	−	0.170027i
$459$	−1.47252	+	1.12991i	−0.0687316	+	0.0527396i
$460$	0.234984	+	6.37207i	0.0109562	+	0.297099i
$461$	5.21529	+	12.5908i	0.242900	+	0.586413i	0.997568	−	0.0696936i	$-0.0222022\pi$
$461$	5.21529	+	12.5908i	0.242900	+	0.586413i	−0.754668	+	0.656107i	$0.772202\pi$
$462$	18.0676	+	7.76163i	0.840582	+	0.361104i
$463$	5.08522			0.236330			0.118165	−	0.992994i	$-0.462299\pi$
$463$	5.08522			0.236330			0.118165	+	0.992994i	$0.462299\pi$
$464$	−7.78317	−	8.72831i	−0.361325	−	0.405201i
$465$	8.21326	−	14.2258i	0.380881	−	0.659705i
$466$	5.63643	+	1.01355i	0.261103	+	0.0469517i
$467$	4.88226	+	3.74629i	0.225924	+	0.173358i	0.715521	−	0.698591i	$-0.246189\pi$
$467$	4.88226	+	3.74629i	0.225924	+	0.173358i	−0.489597	+	0.871949i	$0.662856\pi$
$468$	−0.672539	−	2.18450i	−0.0310881	−	0.100979i
$469$	−24.3730	+	11.0798i	−1.12544	+	0.511618i
$470$	−0.204832	+	0.186422i	−0.00944822	+	0.00859902i
$471$	1.23749	−	4.61837i	0.0570204	−	0.212803i
$472$	5.49332	−	7.01041i	0.252851	−	0.322680i
$473$	9.05626	−	2.42662i	0.416407	−	0.111576i
$474$	−7.68470	−	14.8850i	−0.352970	−	0.683691i
$475$	8.08611	+	3.34938i	0.371016	+	0.153680i
$476$	−9.62227	+	1.96786i	−0.441036	+	0.0901966i
$477$	−1.85755	−	4.48453i	−0.0850515	−	0.205333i
$478$	37.7518	−	3.17407i	1.72673	−	0.145179i
$479$	−13.1053	+	22.6991i	−0.598798	+	1.03715i	0.394201	+	0.919024i	$0.371021\pi$
$479$	−13.1053	+	22.6991i	−0.598798	+	1.03715i	−0.992999	+	0.118124i	$0.962312\pi$
$480$	9.88668	−	4.40801i	0.451263	−	0.201197i
$481$	−3.48226	+	2.01049i	−0.158778	+	0.0916703i
$482$	11.7184	−	24.9097i	0.533761	−	1.13461i
$483$	4.34830	−	0.723464i	0.197854	−	0.0329188i
$484$	3.12128	−	33.0934i	0.141877	−	1.50425i
$485$	1.80703	+	13.7258i	0.0820532	+	0.623256i
$486$	−1.19016	−	0.763891i	−0.0539866	−	0.0346508i
$487$	−7.10962	−	26.5334i	−0.322167	−	1.20235i	−0.917129	−	0.398591i	$-0.869499\pi$
$487$	−7.10962	−	26.5334i	−0.322167	−	1.20235i	0.594961	−	0.803754i	$-0.297167\pi$
$488$	−19.0964	−	8.13824i	−0.864453	−	0.368401i
$489$	15.4800	+	15.4800i	0.700031	+	0.700031i
$490$	−4.51912	+	18.3965i	−0.204153	+	0.831070i
$491$	−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	$0.892420\pi$
$492$	12.1752	+	11.3092i	0.548902	+	0.509858i
$493$	5.38004	+	0.708296i	0.242305	+	0.0319001i
$494$	1.87080	−	10.4037i	0.0841712	−	0.468084i
$495$	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
$499$	2.89840	−	3.77726i	0.129750	−	0.169093i	−0.723960	−	0.689841i	$-0.757680\pi$
$499$	2.89840	−	3.77726i	0.129750	−	0.169093i	0.853710	+	0.520748i	$0.174347\pi$
$500$	20.5462	−	12.8946i	0.918856	−	0.576664i
$501$	2.65484	+	3.45986i	0.118610	+	0.154575i
$502$	29.7641	+	9.49550i	1.32844	+	0.423805i
$503$	23.9622	−	23.9622i	1.06842	−	1.06842i	0.0709389	−	0.997481i	$-0.477400\pi$
$503$	23.9622	−	23.9622i	1.06842	−	1.06842i	0.997481	−	0.0709389i	$-0.0225995\pi$
$504$	−3.89489	−	6.38982i	−0.173492	−	0.284625i
$505$	−10.1993	−	10.1993i	−0.453861	−	0.453861i
$506$	−5.68063	−	11.0032i	−0.252535	−	0.489152i
$507$	9.27740	−	7.11880i	0.412024	−	0.316157i
$508$	4.47294	+	26.4121i	0.198454	+	1.17185i
$509$	−8.03103	−	6.16242i	−0.355969	−	0.273145i	0.415260	−	0.909703i	$-0.363691\pi$
$509$	−8.03103	−	6.16242i	−0.355969	−	0.273145i	−0.771229	+	0.636558i	$0.780357\pi$
$510$	−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
$514$	−5.03534	+	3.50043i	−0.222099	+	0.154397i
$515$	0.640770	−	4.86713i	0.0282357	−	0.214472i
$516$	−3.34446	−	1.24300i	−0.147232	−	0.0547200i
$517$	0.205834	−	0.496926i	0.00905255	−	0.0218548i
$518$	−9.42949	+	9.18652i	−0.414308	+	0.403633i
$519$	2.47184	−	2.47184i	0.108502	−	0.108502i
$520$	−4.32917	−	4.41804i	−0.189847	−	0.193744i
$521$	−27.1008	+	7.26165i	−1.18731	+	0.318139i	−0.797822	−	0.602893i	$-0.794015\pi$
$521$	−27.1008	+	7.26165i	−1.18731	+	0.318139i	−0.389488	+	0.921032i	$0.627348\pi$
$522$	0.881222	+	4.03963i	0.0385701	+	0.176810i
$523$	−38.9168	+	5.12349i	−1.70171	+	0.224035i	−0.917857	−	0.396911i	$-0.870082\pi$
$523$	−38.9168	+	5.12349i	−1.70171	+	0.224035i	−0.783854	+	0.620945i	$0.786749\pi$
$524$	13.1153	−	24.7830i	0.572944	−	1.08265i
$525$	−2.24954	−	2.73413i	−0.0981778	−	0.119327i
$526$	7.08801	+	19.6813i	0.309052	+	0.858144i
$527$	−7.96646	−	13.7983i	−0.347025	−	0.601064i
$528$	−13.7295	+	15.9192i	−0.597501	+	0.692796i
$529$	17.5146	+	10.1121i	0.761505	+	0.439655i
$530$	−10.0341	−	8.47768i	−0.435853	−	0.368247i
$531$	−2.90917	+	1.20502i	−0.126247	+	0.0522932i
$532$	−2.44921	−	34.5211i	−0.106187	−	1.49668i
$533$	3.63376	−	8.77267i	0.157396	−	0.379986i
$534$	19.4273	+	6.19780i	0.840700	+	0.268205i
$535$	−8.87515	−	33.1225i	−0.383706	−	1.43201i
$536$	−3.44742	−	28.4134i	−0.148906	−	1.22727i
$537$	2.16778	+	0.580856i	0.0935467	+	0.0250658i
$538$	15.0600	+	0.708638i	0.649284	+	0.0305516i
$539$	−7.26680	−	36.0636i	−0.313003	−	1.55337i
$540$	−3.81024	−	0.359372i	−0.163967	−	0.0154649i
$541$	−11.8652	+	15.4630i	−0.510125	+	0.664808i	−0.975422	−	0.220347i	$-0.929281\pi$
$541$	−11.8652	+	15.4630i	−0.510125	+	0.664808i	0.465296	+	0.885155i	$0.345948\pi$
$542$	17.3733	−	12.0774i	0.746245	−	0.518769i
$543$	−11.6312	−	6.71529i	−0.499144	−	0.288181i
$544$	1.09206	−	10.4426i	0.0468216	−	0.447723i
$545$			27.8343i			1.19229i
$546$	−2.64719	+	3.35822i	−0.113289	+	0.143718i
$547$	−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	$0.622704\pi$
$548$	4.72553	+	10.3158i	0.201865	+	0.440668i
$549$	4.46778	+	5.82253i	0.190680	+	0.248499i
$550$	−5.37245	+	8.37037i	−0.229082	+	0.356914i
$551$	−4.94896	+	18.4698i	−0.210833	+	0.786839i
$552$	−0.662527	+	4.66562i	−0.0281990	+	0.198582i
$553$	−14.7389	+	27.6573i	−0.626764	+	1.17611i
$554$	1.02997	+	1.13168i	0.0437590	+	0.0480805i
$555$	0.878797	+	6.67512i	0.0373028	+	0.283343i
$556$	−1.24464	+	5.43958i	−0.0527844	+	0.230690i
$557$	−5.00733	+	38.0345i	−0.212168	+	1.61157i	0.471559	+	0.881835i	$0.343691\pi$
$557$	−5.00733	+	38.0345i	−0.212168	+	1.61157i	−0.683727	+	0.729738i	$0.739642\pi$
$558$	7.83481	−	9.27321i	0.331674	−	0.392566i
$559$			2.03882i			0.0862328i
$560$	−17.2985	−	10.5300i	−0.730995	−	0.444974i
$561$		−	9.75459i		−	0.411839i
$562$	−17.1284	−	14.4716i	−0.722519	−	0.610446i
$563$	−2.82976	+	21.4942i	−0.119260	+	0.905871i	0.822307	+	0.569045i	$0.192687\pi$
$563$	−2.82976	+	21.4942i	−0.119260	+	0.905871i	−0.941567	+	0.336826i	$0.890646\pi$
$564$	−0.173374	+	0.108807i	−0.00730034	+	0.00458162i
$565$	−0.289673	−	2.20029i	−0.0121866	−	0.0925667i
$566$	6.27652	−	5.71239i	0.263822	−	0.240110i
$567$	0.0898557	+	2.64423i	0.00377359	+	0.111047i
$568$	−13.0571	+	22.0941i	−0.547863	+	0.927048i
$569$	4.32058	−	16.1246i	0.181128	−	0.675979i	−0.814298	−	0.580446i	$-0.802878\pi$
$569$	4.32058	−	16.1246i	0.181128	−	0.675979i	0.995426	−	0.0955322i	$-0.0304553\pi$
$570$	−14.8952	−	9.56035i	−0.623891	−	0.400439i
$571$	26.7643	+	34.8800i	1.12005	+	1.45968i	0.871061	+	0.491175i	$0.163432\pi$
$571$	26.7643	+	34.8800i	1.12005	+	1.45968i	0.248991	+	0.968506i	$0.419901\pi$
$572$	11.2599	+	4.18483i	0.470799	+	0.174977i
$573$	23.3319	−	9.66439i	0.974704	−	0.403736i
$574$	4.45971	−	30.7666i	0.186145	−	1.28417i
$575$			2.22960i			0.0929809i
$576$	7.76788	−	1.91313i	0.323662	−	0.0797137i
$577$	7.80844	+	4.50820i	0.325070	+	0.187679i	0.653650	−	0.756797i	$-0.273237\pi$
$577$	7.80844	+	4.50820i	0.325070	+	0.187679i	−0.328580	+	0.944476i	$0.606570\pi$
$578$	−10.9420	−	15.7400i	−0.455128	−	0.654697i
$579$	3.44581	−	4.49067i	0.143203	−	0.186626i
$580$	7.13403	+	8.61990i	0.296225	+	0.357922i
$581$	−15.8140	−	11.3024i	−0.656075	−	0.468902i
$582$	−0.480902	+	10.2202i	−0.0199340	+	0.423639i
$583$	24.6410	+	6.60254i	1.02053	+	0.273449i
$584$	40.3896	−	22.7750i	1.67133	−	0.942436i
$585$	0.566016	+	2.11240i	0.0234019	+	0.0873370i
$586$	4.98189	−	15.6160i	0.205800	−	0.645089i
$587$	−0.498327	+	1.20307i	−0.0205681	+	0.0496559i	−0.933830	−	0.357717i	$-0.883555\pi$
$587$	−0.498327	+	1.20307i	−0.0205681	+	0.0496559i	0.913262	+	0.407373i	$0.133555\pi$
$588$	−5.69331	+	12.7901i	−0.234788	+	0.527454i
$589$	51.8694	−	21.4850i	2.13724	−	0.885275i
$590$	−5.49957	+	6.50923i	−0.226414	+	0.267981i
$591$	−6.88381	−	3.97437i	−0.283162	−	0.163484i
$592$	−6.32877	−	12.5703i	−0.260111	−	0.516636i
$593$	10.8573	+	18.8055i	0.445858	+	0.772248i	0.998112	−	0.0614277i	$-0.0195654\pi$
$593$	10.8573	+	18.8055i	0.445858	+	0.772248i	−0.552254	+	0.833676i	$0.686232\pi$
$594$	6.99272	−	2.51836i	0.286915	−	0.103329i
$595$	9.26961	−	1.54227i	0.380017	−	0.0632268i
$596$	29.9772	−	9.22902i	1.22791	−	0.378036i
$597$	22.6003	−	2.97539i	0.924969	−	0.121774i
$598$	2.63091	−	0.573918i	0.107586	−	0.0234693i
$599$	−16.2671	+	4.35875i	−0.664655	+	0.178094i	−0.575346	−	0.817910i	$-0.695133\pi$
$599$	−16.2671	+	4.35875i	−0.664655	+	0.178094i	−0.0893090	+	0.996004i	$0.528466\pi$
$600$	3.51148	−	1.41288i	0.143355	−	0.0576806i
$601$	0.206296	−	0.206296i	0.00841499	−	0.00841499i	−0.702887	−	0.711302i	$-0.748106\pi$
$601$	0.206296	−	0.206296i	0.00841499	−	0.00841499i	0.711302	+	0.702887i	$0.248106\pi$
$602$	1.64335	+	6.46962i	0.0669777	+	0.263682i
$603$	−3.87250	+	9.34903i	−0.157700	+	0.380722i
$604$	12.7421	−	5.83699i	0.518467	−	0.237504i
$605$	−4.15124	+	31.5318i	−0.168772	+	1.28195i
$606$	−6.08465	−	8.75272i	−0.247172	−	0.355555i
$607$	23.9596	+	41.4993i	0.972490	+	1.68440i	0.687980	+	0.725730i	$0.258498\pi$
$607$	23.9596	+	41.4993i	0.972490	+	1.68440i	0.284510	+	0.958673i	$0.408169\pi$
$608$	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
$611$	0.0927933	+	0.0712028i	0.00375402	+	0.00288056i
$612$	−2.14975	+	3.02633i	−0.0868985	+	0.122332i
$613$	16.5189	−	12.6754i	0.667191	−	0.511954i	−0.218732	−	0.975785i	$-0.570192\pi$
$613$	16.5189	−	12.6754i	0.667191	−	0.511954i	0.885924	+	0.463831i	$0.153526\pi$
$614$	36.9055	−	19.0532i	1.48939	−	0.768926i
$615$	−11.2425	−	11.2425i	−0.453340	−	0.453340i
$616$	39.1032	+	4.20364i	1.57551	+	0.169369i
$617$	−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	$0.413515\pi$
$618$	1.10269	−	3.45642i	0.0443566	−	0.139038i
$619$	9.98365	+	13.0109i	0.401277	+	0.522954i	0.949664	−	0.313270i	$-0.101425\pi$
$619$	9.98365	+	13.0109i	0.401277	+	0.522954i	−0.548387	+	0.836225i	$0.684758\pi$
$620$	7.32776	−	32.0254i	0.294290	−	1.28617i
$621$	1.01425	−	1.32180i	0.0407006	−	0.0530421i
$622$	−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
$626$	3.32542	+	0.597980i	0.132911	+	0.0239001i
$627$	34.0783	+	4.48649i	1.36096	+	0.179173i
$628$	−0.352401	−	9.55607i	−0.0140623	−	0.381329i
$629$	6.03332	+	2.49908i	0.240564	+	0.0996449i
$630$	3.49875	+	6.24689i	0.139393	+	0.248882i
$631$	−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	$0.867131\pi$
$632$	−23.4485	−	23.9299i	−0.932733	−	0.951879i
$633$	5.15447	+	19.2367i	0.204872	+	0.764592i
$634$	15.1428	−	23.5927i	0.601396	−	0.936986i
$635$	−3.34546	−	25.4113i	−0.132761	−	1.00842i
$636$	−6.18970	−	7.47889i	−0.245438	−	0.296557i
$637$	7.98404	+	0.503357i	0.316339	+	0.0199437i
$638$	−19.6624	−	9.24991i	−0.778441	−	0.366207i
$639$	7.85794	−	4.53678i	0.310855	−	0.179472i
$640$	16.3040	−	14.2439i	0.644472	−	0.563038i
$641$	−3.89115	+	6.73967i	−0.153691	+	0.266201i	−0.932582	−	0.360959i	$-0.882449\pi$
$641$	−3.89115	+	6.73967i	−0.153691	+	0.266201i	0.778891	+	0.627160i	$0.215783\pi$
$642$	−2.12323	−	25.2533i	−0.0837974	−	0.996669i
$643$	−12.9244	−	31.2022i	−0.509688	−	1.23050i	−0.944063	−	0.329764i	$-0.893031\pi$
$643$	−12.9244	−	31.2022i	−0.509688	−	1.23050i	0.434375	−	0.900732i	$-0.356969\pi$
$644$	7.88587	−	3.94176i	0.310747	−	0.155327i
$645$	3.15394	+	1.30640i	0.124186	+	0.0514396i
$646$	−15.2545	+	7.87546i	−0.600181	+	0.309856i
$647$	−20.6490	+	5.53288i	−0.811795	+	0.217520i	−0.640756	−	0.767744i	$-0.721379\pi$
$647$	−20.6490	+	5.53288i	−0.811795	+	0.217520i	−0.171039	+	0.985264i	$0.554712\pi$
$648$	−2.72447	−	0.759768i	−0.107027	−	0.0298465i
$649$	4.28314	−	15.9849i	0.168128	−	0.627462i
$650$	−1.45580	−	1.59957i	−0.0571012	−	0.0627403i
$651$	−22.6050	−	2.19801i	−0.885961	−	0.0861470i
$652$	38.6992	+	20.4798i	1.51558	+	0.802052i
$653$	−22.6430	−	17.3746i	−0.886091	−	0.679921i	0.0619468	−	0.998079i	$-0.480269\pi$
$653$	−22.6430	−	17.3746i	−0.886091	−	0.679921i	−0.948038	+	0.318158i	$0.896936\pi$
$654$	−3.64065	+	20.2460i	−0.142361	+	0.791680i
$655$	−13.4139	+	23.2335i	−0.524124	+	0.907809i
$656$	29.9277	+	14.4522i	1.16848	+	0.564265i
$657$	−16.3937			−0.639578
$658$	0.351845	+	0.151148i	0.0137164	+	0.00589238i
$659$	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	$0.760928\pi$
$660$	13.6886	−	14.7369i	0.532830	−	0.573633i
$661$	20.4774	−	15.7129i	0.796479	−	0.611160i	−0.128269	−	0.991739i	$-0.540942\pi$
$661$	20.4774	−	15.7129i	0.796479	−	0.611160i	0.924748	+	0.380580i	$0.124275\pi$
$662$	0.995814	+	4.56493i	0.0387034	+	0.177421i
$663$	2.04892	+	0.549008i	0.0795736	+	0.0213217i
$664$	16.6134	−	12.4818i	0.644725	−	0.484389i
$665$	1.12457	+	33.0934i	0.0436091	+	1.28331i
$666$	−0.233872	+	4.97026i	−0.00906236	+	0.192594i
$667$	−4.82936	+	0.635797i	−0.186993	+	0.0246182i
$668$	7.11069	+	5.05107i	0.275121	+	0.195432i
$669$	1.65231	+	0.217530i	0.0638818	+	0.00841020i
$670$	2.29436	+	27.2887i	0.0886389	+	1.05425i
$671$	−38.5707			−1.48901
$672$	−11.2052	−	9.92185i	−0.432250	−	0.382744i
$673$	22.3056			0.859818			0.429909	−	0.902872i	$-0.358546\pi$
$673$	22.3056			0.859818			0.429909	+	0.902872i	$0.358546\pi$
$674$	3.63462	+	43.2294i	0.140000	+	1.66514i
$675$	−1.32677	−	0.174673i	−0.0510675	−	0.00672317i
$676$	13.5441	−	19.0669i	0.520929	−	0.733342i
$677$	−31.8395	+	4.19174i	−1.22369	+	0.161102i	−0.714552	−	0.699583i	$-0.753369\pi$
$677$	−31.8395	+	4.19174i	−1.22369	+	0.161102i	−0.509138	+	0.860685i	$0.670036\pi$
$678$	0.0770901	−	1.63832i	0.00296063	−	0.0629194i
$679$	16.2423	−	10.1281i	0.623321	−	0.388682i
$680$	−1.41236	+	9.94608i	−0.0541616	+	0.381415i
$681$	10.3898	+	2.78394i	0.398138	+	0.106681i
$682$	13.5981	+	62.3351i	0.520696	+	2.38693i
$683$	32.1685	−	24.6837i	1.23089	−	0.944496i	0.231295	−	0.972884i	$-0.425704\pi$
$683$	32.1685	−	24.6837i	1.23089	−	0.944496i	0.999597	+	0.0283874i	$0.00903719\pi$
$684$	−9.58393	−	8.90221i	−0.366451	−	0.340385i
$685$	−4.15453	−	10.0299i	−0.158737	−	0.383224i
$686$	25.7409	−	4.83810i	0.982791	−	0.184720i
$687$	−12.0722			−0.460584
$688$	−7.12429	−	0.407802i	−0.271611	−	0.0155473i
$689$	−2.77369	+	4.80417i	−0.105669	+	0.183024i
$690$	0.797976	−	4.43762i	0.0303784	−	0.168937i
$691$	14.3282	+	10.9944i	0.545071	+	0.418247i	0.844250	−	0.535949i	$-0.180046\pi$
$691$	14.3282	+	10.9944i	0.545071	+	0.418247i	−0.299179	+	0.954197i	$0.596713\pi$
$692$	3.27021	−	6.17947i	0.124315	−	0.234908i
$693$	−11.3125	−	8.08512i	−0.429725	−	0.307128i
$694$	1.06617	+	1.17146i	0.0404714	+	0.0444682i
$695$	1.38184	−	5.15711i	0.0524163	−	0.195620i
$696$	4.06166	+	7.20302i	0.153957	+	0.273030i
$697$	−14.8960	+	3.99137i	−0.564227	+	0.151184i
$698$	−6.69266	+	3.45523i	−0.253321	+	0.130782i
$699$	−3.74123	−	1.54967i	−0.141506	−	0.0586139i
$700$	−5.90888	−	3.90238i	−0.223335	−	0.147496i
$701$	−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	$0.875207\pi$
$702$	0.135410	+	1.61054i	0.00511072	+	0.0607859i
$703$	−11.5057	+	19.9284i	−0.433944	+	0.751613i
$704$	−16.8754	+	38.5086i	−0.636014	+	1.45135i
$705$	0.169606	−	0.0979219i	0.00638772	−	0.00368795i
$706$	−24.8394	−	11.6854i	−0.934842	−	0.439784i
$707$	−7.00163	+	18.6733i	−0.263324	+	0.702282i
$708$	−4.85164	+	4.01533i	−0.182336	+	0.150905i
$709$	−2.62013	−	19.9019i	−0.0984012	−	0.747431i	−0.967514	−	0.252817i	$-0.918643\pi$
$709$	−2.62013	−	19.9019i	−0.0984012	−	0.747431i	0.869113	−	0.494614i	$-0.164691\pi$
$710$	13.2634	−	20.6646i	0.497767	−	0.775530i
$711$	3.06577	+	11.4416i	0.114975	+	0.429093i
$712$	40.7818	+	0.414320i	1.52836	+	0.0155273i
$713$	10.1131	+	10.1131i	0.378738	+	0.378738i
$714$	6.94421	+	0.0906326i	0.259881	+	0.00339184i
$715$	−10.6184	−	4.39830i	−0.397107	−	0.164487i
$716$	4.48546	−	0.165411i	0.167629	−	0.00618171i
$717$	−26.5596	−	3.49663i	−0.991886	−	0.130584i
$718$	−50.7911	−	9.13329i	−1.89551	−	0.340851i
$719$	−36.2412	+	20.9239i	−1.35157	+	0.780328i	−0.988469	−	0.151422i	$-0.951615\pi$
$719$	−36.2412	+	20.9239i	−1.35157	+	0.780328i	−0.363099	+	0.931750i	$0.618281\pi$
$720$	−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
$723$	−11.8499	+	15.4431i	−0.440702	+	0.574334i
$724$	−26.1845	−	5.99130i	−0.973138	−	0.222665i
$725$	2.38175	+	3.10396i	0.0884560	+	0.115278i
$726$	−7.14379	+	22.3925i	−0.265131	+	0.831064i
$727$	6.57938	−	6.57938i	0.244016	−	0.244016i	−0.574493	−	0.818509i	$-0.694801\pi$
$727$	6.57938	−	6.57938i	0.244016	−	0.244016i	0.818509	+	0.574493i	$0.194801\pi$
$728$	−3.08377	+	7.97692i	−0.114292	+	0.295644i
$729$	0.707107	+	0.707107i	0.0261891	+	0.0261891i
$730$	−39.4211	+	20.3519i	−1.45904	+	0.753259i
$731$	2.62697	−	2.01574i	0.0971619	−	0.0745550i
$732$	11.9664	+	8.50035i	0.442292	+	0.314182i
$733$	−3.50430	−	2.68894i	−0.129434	−	0.0993184i	0.542015	−	0.840369i	$-0.317661\pi$
$733$	−3.50430	−	2.68894i	−0.129434	−	0.0993184i	−0.671450	+	0.741050i	$0.734328\pi$
$734$	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
$738$	−6.70700	−	9.64797i	−0.246888	−	0.355147i
$739$	−3.77490	+	28.6732i	−0.138862	+	1.05476i	0.770112	+	0.637909i	$0.220200\pi$
$739$	−3.77490	+	28.6732i	−0.138862	+	1.05476i	−0.908974	+	0.416853i	$0.863133\pi$
$740$	5.60796	+	12.2421i	0.206153	+	0.450029i
$741$	−2.86037	+	6.90555i	−0.105078	+	0.253682i
$742$	−4.92924	+	17.4804i	−0.180958	+	0.641725i
$743$	−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	$0.941052\pi$
$744$	9.51887	−	22.3360i	0.348979	−	0.818879i
$745$	−28.9877	+	7.76724i	−1.06203	+	0.284570i
$746$	33.0558	−	7.21094i	1.21026	−	0.264011i
$747$	−7.28393	+	0.958947i	−0.266505	+	0.0350860i
$748$	−5.74037	−	18.6455i	−0.209889	−	0.681748i
$749$	−36.6120	+	30.1230i	−1.33777	+	1.10067i
$750$	−16.1379	+	5.81190i	−0.589272	+	0.212221i
$751$	−8.45153	−	14.6385i	−0.308401	−	0.534166i	0.669612	−	0.742711i	$-0.266460\pi$
$751$	−8.45153	−	14.6385i	−0.308401	−	0.534166i	−0.978013	+	0.208545i	$0.933127\pi$
$752$	−0.267366	+	0.310008i	−0.00974984	+	0.0113048i
$753$	−19.1318	−	11.0457i	−0.697200	−	0.402529i
$754$	3.04956	−	3.60943i	0.111058	−	0.131448i
$755$	−12.3890	+	5.13169i	−0.450882	+	0.186761i
$756$	1.72783	+	5.00146i	0.0628405	+	0.181901i
$757$	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	$-0.0404810\pi$
$758$	−15.4781	+	48.5167i	−0.562189	+	1.76221i
$759$	2.26625	+	8.45778i	0.0822598	+	0.306998i
$760$	−34.0977	−	9.50875i	−1.23685	−	0.344918i
$761$	29.7691	+	7.97661i	1.07913	+	0.289152i	0.754239	−	0.656600i	$-0.228006\pi$
$761$	29.7691	+	7.97661i	1.07913	+	0.289152i	0.324891	+	0.945752i	$0.394673\pi$
$762$	0.890321	−	18.9211i	0.0322529	−	0.685441i
$763$	35.0341	−	15.9263i	1.26832	−	0.576571i
$764$	38.9108	−	32.2035i	1.40774	−	1.16508i
$765$	2.16217	−	2.81779i	0.0781733	−	0.101877i
$766$	−6.85082	−	9.85484i	−0.247530	−	0.356070i
$767$	3.11652	+	1.79932i	0.112531	+	0.0649698i
$768$	13.7222	−	8.22811i	0.495156	−	0.296906i
$769$			1.32589i			0.0478128i	0.999714	+	0.0239064i	$0.00761036\pi$
$769$			1.32589i			0.0478128i	−0.999714	+	0.0239064i	$0.992390\pi$
$770$	−37.2398	−	5.39803i	−1.34203	−	0.194531i
$771$	4.00625	−	1.65944i	0.144282	−	0.0597634i
$772$	3.94388	−	10.6115i	0.141943	−	0.381918i
$773$	21.0366	+	27.4155i	0.756635	+	0.986066i	0.999870	+	0.0160989i	$0.00512466\pi$
$773$	21.0366	+	27.4155i	0.756635	+	0.986066i	−0.243235	+	0.969967i	$0.578209\pi$
$774$	2.12322	+	1.36277i	0.0763177	+	0.0489839i
$775$	2.97320	−	11.0961i	0.106800	−	0.398585i
$776$	5.09512	+	19.8184i	0.182904	+	0.711441i
$777$	7.89893	−	4.92551i	0.283373	−	0.176702i
$778$	−8.86577	+	8.06892i	−0.317853	+	0.289285i
$779$	−7.09291	−	53.8760i	−0.254130	−	1.93031i
$780$	2.32502	+	3.70469i	0.0832491	+	0.132649i
$781$	−6.22427	+	47.2781i	−0.222722	+	1.69174i
$782$	−3.34061	−	2.82244i	−0.119460	−	0.100930i
$783$		−	2.92362i		−	0.104482i
$784$	−3.35586	+	27.7982i	−0.119852	+	0.992792i
$785$			9.14936i			0.326555i
$786$	−12.7958	+	15.1450i	−0.456411	+	0.540204i
$787$	1.76691	−	13.4210i	0.0629836	−	0.478408i	−0.930664	−	0.365874i	$-0.880770\pi$
$787$	1.76691	−	13.4210i	0.0629836	−	0.478408i	0.993648	−	0.112534i	$-0.0358967\pi$
$788$	−15.4970	−	3.54588i	−0.552057	−	0.126317i
$789$	−1.93071	−	14.6652i	−0.0687351	−	0.522095i
$790$	21.5763	+	23.7071i	0.767650	+	0.843460i
$791$	−2.60368	+	1.62357i	−0.0925764	+	0.0577275i
$792$	11.8843	−	8.92882i	0.422291	−	0.317272i
$793$	2.17084	−	8.10168i	0.0770887	−	0.287699i
$794$	10.0739	−	15.6953i	0.357508	−	0.557004i
$795$	5.65451	+	7.36910i	0.200545	+	0.261355i
$796$	41.4487	−	18.9872i	1.46911	−	0.672982i
$797$	−42.3504	+	17.5421i	−1.50013	+	0.621373i	−0.973493	−	0.228719i	$-0.926546\pi$
$797$	−42.3504	+	17.5421i	−1.50013	+	0.621373i	−0.526635	+	0.850092i	$0.676546\pi$
$798$	−3.51053	+	24.2184i	−0.124271	+	0.857321i
$799$		−	0.189959i		−	0.00672026i
$800$	5.88061	−	4.76710i	0.207911	−	0.168543i
$801$	−12.4875	−	7.20964i	−0.441223	−	0.254740i
$802$	−5.16940	+	3.59363i	−0.182538	+	0.126895i
$803$	52.4489	−	68.3527i	1.85088	−	2.41211i
$804$	−1.90042	+	20.1492i	−0.0670227	+	0.710608i
$805$	−7.67897	+	3.49081i	−0.270648	+	0.123035i
$806$	−13.8586	−	0.652108i	−0.488150	−	0.0229695i
$807$	−10.2976	−	2.75922i	−0.362492	−	0.0971293i
$808$	−16.7814	−	13.1498i	−0.590367	−	0.462609i
$809$	−2.14762	−	8.01502i	−0.0755063	−	0.281793i	0.917841	−	0.396947i	$-0.129930\pi$
$809$	−2.14762	−	8.01502i	−0.0755063	−	0.281793i	−0.993348	+	0.115154i	$0.963264\pi$
$810$	2.57818	+	0.822508i	0.0905882	+	0.0289000i
$811$	−3.22342	+	7.78203i	−0.113190	+	0.273264i	−0.970315	−	0.241843i	$-0.922248\pi$
$811$	−3.22342	+	7.78203i	−0.113190	+	0.273264i	0.857126	+	0.515107i	$0.172248\pi$
$812$	6.76763	−	13.9115i	0.237497	−	0.488200i
$813$	−13.8226	+	5.72552i	−0.484781	+	0.200803i
$814$	−19.9751	−	16.8767i	−0.700126	−	0.591527i
$815$	−36.2797	−	20.9461i	−1.27082	−	0.733709i
$816$	−2.32824	+	7.04980i	−0.0815046	+	0.246792i
$817$	5.83389	+	10.1046i	0.204102	+	0.353515i
$818$	19.2426	+	53.4310i	0.672803	+	1.86817i
$819$	2.33495	−	1.92111i	0.0815896	−	0.0671289i
$820$	−28.1055	−	14.8736i	−0.981486	−	0.519408i
$821$	40.5960	−	5.34457i	1.41681	−	0.186527i	0.617087	−	0.786895i	$-0.288313\pi$
$821$	40.5960	−	5.34457i	1.41681	−	0.186527i	0.799724	+	0.600368i	$0.204979\pi$
$822$	−1.71002	−	7.83893i	−0.0596437	−	0.273414i
$823$	−16.4131	+	4.39789i	−0.572126	+	0.153301i	−0.533271	−	0.845944i	$-0.679038\pi$
$823$	−16.4131	+	4.39789i	−0.572126	+	0.153301i	−0.0388545	+	0.999245i	$0.512371\pi$
$824$	0.0737142	−	7.25573i	0.00256796	−	0.252765i
$825$	4.97309	−	4.97309i	0.173141	−	0.173141i
$826$	11.3397	+	3.19765i	0.394560	+	0.111261i
$827$	−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	$0.826773\pi$
$828$	1.16086	−	3.12344i	0.0403425	−	0.108547i
$829$	2.34254	−	17.7934i	0.0813598	−	0.617989i	−0.901385	−	0.433020i	$-0.857448\pi$
$829$	2.34254	−	17.7934i	0.0813598	−	0.617989i	0.982744	−	0.184969i	$-0.0592186\pi$
$830$	−16.3248	+	11.3486i	−0.566643	+	0.393915i
$831$	−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
$835$	−6.62071	−	5.08025i	−0.229119	−	0.175809i
$836$	67.7796	−	11.4786i	2.34421	−	0.396996i
$837$	−6.81030	+	5.22573i	−0.235398	+	0.180628i
$838$	13.5574	+	26.2602i	0.468332	+	0.907145i
$839$	−20.3210	−	20.3210i	−0.701559	−	0.701559i	0.263186	−	0.964745i	$-0.415227\pi$
$839$	−20.3210	−	20.3210i	−0.701559	−	0.701559i	−0.964745	+	0.263186i	$0.915227\pi$
$840$	10.3639	+	9.88176i	0.357588	+	0.340953i
$841$	14.4621	−	14.4621i	0.498691	−	0.498691i
$842$	−20.4635	−	6.52840i	−0.705220	−	0.224983i
$843$	9.65236	+	12.5792i	0.332445	+	0.433251i
$844$	21.1730	+	33.7370i	0.728805	+	1.16128i
$845$	−13.6224	+	17.7530i	−0.468624	+	0.610723i
$846$	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
$850$	−0.621682	+	3.45723i	−0.0213235	+	0.118582i
$851$	−5.81183	−	0.765142i	−0.199227	−	0.0262287i
$852$	12.3504	−	13.2961i	0.423116	−	0.455518i
$853$	37.8619	+	15.6829i	1.29637	+	0.536972i	0.920877	−	0.389854i	$-0.127475\pi$
$853$	37.8619	+	15.6829i	1.29637	+	0.536972i	0.375489	+	0.926827i	$0.377475\pi$
$854$	0.358372	−	27.4582i	0.0122632	−	0.939600i
$855$	8.84968	+	8.84968i	0.302653	+	0.302653i
$856$	−18.9195	−	47.0213i	−0.646657	−	1.60716i
$857$	−4.04160	−	15.0835i	−0.138059	−	0.515241i	−0.999967	−	0.00817684i	$-0.997397\pi$
$857$	−4.04160	−	15.0835i	−0.138059	−	0.515241i	0.861908	−	0.507065i	$-0.169269\pi$
$858$	−7.14830	−	4.58808i	−0.244039	−	0.156634i
$859$	1.41631	+	10.7579i	0.0483239	+	0.367056i	0.998472	+	0.0552579i	$0.0175981\pi$
$859$	1.41631	+	10.7579i	0.0483239	+	0.367056i	−0.950148	+	0.311799i	$0.899069\pi$
$860$	6.79743	+	0.641116i	0.231791	+	0.0218619i
$861$	−7.71778	+	20.5833i	−0.263021	+	0.701476i
$862$	19.9907	−	42.4939i	0.680886	−	1.44735i
$863$	29.1570	−	16.8338i	0.992517	−	0.573030i	0.0864911	−	0.996253i	$-0.472435\pi$
$863$	29.1570	−	16.8338i	0.992517	−	0.573030i	0.906026	+	0.423223i	$0.139101\pi$
$864$	−5.65484	+	0.151028i	−0.192381	+	0.00513808i
$865$	−3.34466	+	5.79312i	−0.113722	+	0.196972i
$866$	45.1970	−	3.80005i	1.53586	−	0.129131i
$867$	5.18727	+	12.5232i	0.176169	+	0.425309i
$868$	−44.5022	+	9.10117i	−1.51050	+	0.308914i
$869$	−57.5137	−	23.8230i	−1.95102	−	0.808138i
$870$	−3.62954	−	7.03030i	−0.123053	−	0.238349i
$871$	11.1707	−	2.99319i	0.378506	−	0.101420i
$872$	4.95538	+	40.8419i	0.167810	+	1.38308i
$873$	1.87249	−	6.98822i	0.0633741	−	0.236515i
$874$	11.3969	−	10.3725i	0.385504	−	0.350855i
$875$	26.1070	+	18.6589i	0.882579	+	0.630787i
$876$	−31.3359	+	9.64733i	−1.05874	+	0.325953i
$877$	36.7107	+	28.1691i	1.23963	+	0.951204i	0.999808	−	0.0196126i	$-0.00624330\pi$
$877$	36.7107	+	28.1691i	1.23963	+	0.951204i	0.239825	+	0.970816i	$0.422910\pi$
$878$	−30.7377	−	5.52727i	−1.03735	−	0.186536i
$879$	−5.79523	+	10.0376i	−0.195468	+	0.338561i
$880$	17.4930	−	36.2245i	0.589688	−	1.22113i
$881$	7.62433			0.256870			0.128435	−	0.991718i	$-0.459005\pi$
$881$	7.62433			0.256870			0.128435	+	0.991718i	$0.459005\pi$
$882$	5.86084	−	7.97813i	0.197345	−	0.268638i
$883$	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	$0.658681\pi$
$884$	4.23952	−	0.156342i	0.142591	−	0.00525834i
$885$	4.78042	−	3.66814i	0.160692	−	0.123303i
$886$	−3.01380	+	0.657444i	−0.101251	+	0.0220873i
$887$	−4.38263	−	1.17432i	−0.147154	−	0.0394299i	0.184490	−	0.982834i	$-0.440937\pi$
$887$	−4.38263	−	1.17432i	−0.147154	−	0.0394299i	−0.331644	+	0.943405i	$0.607603\pi$
$888$	2.47786	+	9.63811i	0.0831515	+	0.323434i
$889$	−30.0702	+	18.7508i	−1.00852	+	0.628880i
$890$	−38.9784	−	1.83410i	−1.30656	−	0.0614793i
$891$	−5.21053	+	0.685979i	−0.174559	+	0.0229811i
$892$	3.28633	−	0.556547i	0.110035	−	0.0186346i
$893$	0.663634	+	0.0873691i	0.0222077	+	0.00292370i
$894$	−22.1009	+	1.85819i	−0.739165	+	0.0621470i
$895$	−4.29455			−0.143551
$896$	−27.2572	−	12.3712i	−0.910598	−	0.413294i
$897$	−1.90408			−0.0635755
$898$	−29.9595	+	2.51892i	−0.999763	+	0.0840574i
$899$	24.8822	+	3.27581i	0.829869	+	0.109254i
$900$	−2.63887	+	0.446898i	−0.0879623	+	0.0148966i
$901$	8.93236	−	1.17597i	0.297580	−	0.0391772i
$902$	61.6848	+	2.90253i	2.05388	+	0.0966437i
$903$	−0.160302	−	4.71727i	−0.00533450	−	0.156981i
$904$	−0.816764	−	3.17696i	−0.0271652	−	0.105664i
$905$	24.8247	+	6.65177i	0.825202	+	0.221112i
$906$	−9.68266	+	2.11222i	−0.321685	+	0.0701738i
$907$	−17.1729	+	13.1773i	−0.570218	+	0.437544i	−0.853202	−	0.521581i	$-0.825342\pi$
$907$	−17.1729	+	13.1773i	−0.570218	+	0.437544i	0.282984	+	0.959125i	$0.408676\pi$
$908$	21.4980	−	0.792786i	0.713436	−	0.0263095i
$909$	2.88454	+	6.96390i	0.0956743	+	0.230978i
$910$	3.22977	−	7.51831i	0.107066	−	0.249230i
$911$	30.5500			1.01217			0.506084	−	0.862484i	$-0.331093\pi$
$911$	30.5500			1.01217			0.506084	+	0.862484i	$0.331093\pi$
$912$	−23.5581	−	11.3763i	−0.780087	−	0.376707i
$913$	19.3055	−	33.4380i	0.638917	−	1.10664i
$914$	13.3127	+	2.39390i	0.440344	+	0.0791830i
$915$	−11.1419	−	8.54945i	−0.368338	−	0.282636i
$916$	−23.0756	+	7.10425i	−0.762440	+	0.234731i
$917$	36.9185	+	3.58979i	1.21916	+	0.118545i
$918$	1.94127	−	1.76679i	0.0640713	−	0.0583126i
$919$	1.14440	−	4.27097i	0.0377503	−	0.140886i	−0.944479	−	0.328573i	$-0.893432\pi$
$919$	1.14440	−	4.27097i	0.0377503	−	0.140886i	0.982229	+	0.187687i	$0.0600990\pi$
$920$	−1.08615	−	8.95194i	−0.0358092	−	0.295137i
$921$	−28.3680	+	7.60119i	−0.934758	+	0.250468i
$922$	−8.84143	−	17.1256i	−0.291177	−	0.564001i
$923$	−9.58031	−	3.96829i	−0.315340	−	0.130618i
$924$	−26.3813	−	8.79726i	−0.867881	−	0.289408i
$925$	1.80182	+	4.34999i	0.0592436	+	0.143027i
$926$	−7.16630	+	0.602524i	−0.235499	+	0.0198002i
$927$	−1.28271	+	2.22172i	−0.0421298	+	0.0729709i
$928$	12.0025	+	11.3781i	0.394003	+	0.373504i
$929$	36.9910	−	21.3567i	1.21363	−	0.700692i	0.250085	−	0.968224i	$-0.419541\pi$
$929$	36.9910	−	21.3567i	1.21363	−	0.700692i	0.963549	+	0.267532i	$0.0862082\pi$
$930$	−9.88892	+	21.0207i	−0.324270	+	0.689296i
$931$	41.0101	−	20.3509i	1.34405	−	0.666975i
$932$	−8.06318	−	0.760498i	−0.264118	−	0.0249109i
$933$	2.44299	+	18.5564i	0.0799800	+	0.607509i
$934$	−7.32416	−	4.70095i	−0.239654	−	0.153820i
$935$	4.83116	+	18.0301i	0.157996	+	0.589648i
$936$	1.20660	+	2.99880i	0.0394390	+	0.0980189i
$937$	−14.8711	−	14.8711i	−0.485817	−	0.485817i	0.421166	−	0.906984i	$-0.361621\pi$
$937$	−14.8711	−	14.8711i	−0.485817	−	0.485817i	−0.906984	+	0.421166i	$0.861621\pi$
$938$	33.0346	−	18.5020i	1.07862	−	0.604111i
$939$	−2.20728	−	0.914286i	−0.0720319	−	0.0298366i
$940$	0.266570	−	0.286984i	0.00869456	−	0.00936037i
$941$	−37.7158	−	4.96538i	−1.22950	−	0.161867i	−0.512345	−	0.858780i	$-0.671223\pi$
$941$	−37.7158	−	4.96538i	−1.22950	−	0.161867i	−0.717156	+	0.696913i	$0.754556\pi$
$942$	−1.19671	+	6.65502i	−0.0389909	+	0.216832i
$943$	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
$947$	−0.246357	+	0.321059i	−0.00800554	+	0.0104330i	−0.797339	−	0.603532i	$-0.793760\pi$
$947$	−0.246357	+	0.321059i	−0.00800554	+	0.0104330i	0.789333	+	0.613965i	$0.210426\pi$
$948$	12.5932	+	20.0661i	0.409010	+	0.651715i
$949$	11.4054	+	14.8638i	0.370234	+	0.482498i
$950$	−11.7921	−	3.76200i	−0.382588	−	0.122055i
$951$	−14.0171	+	14.0171i	−0.454537	+	0.454537i
$952$	13.3269	−	3.91328i	0.431929	−	0.126830i
$953$	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	$0.689988\pi$
$954$	3.14909	+	6.09969i	0.101956	+	0.197485i
$955$	−38.3396	+	29.4190i	−1.24064	+	0.951976i
$956$	−52.8254	+	8.94607i	−1.70849	+	0.289337i
$957$	12.1899	+	9.35365i	0.394044	+	0.302361i
$958$	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
$962$	4.66914	−	3.24586i	0.150539	−	0.104651i
$963$	−2.33900	+	17.7665i	−0.0753733	+	0.572517i
$964$	−13.5627	+	36.4923i	−0.436825	+	1.17534i
$965$	−4.14505	+	10.0070i	−0.133434	+	0.322138i
$966$	−6.04208	+	1.53474i	−0.194401	+	0.0493796i
$967$	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	$0.0849989\pi$
$968$	−0.477559	+	47.0064i	−0.0153493	+	1.51084i
$969$	11.7256	−	3.14187i	0.376681	−	0.100931i
$970$	−4.17285	−	19.1288i	−0.133982	−	0.614190i
$971$	−29.9132	+	3.93815i	−0.959961	+	0.126381i	−0.594191	−	0.804324i	$-0.702528\pi$
$971$	−29.9132	+	3.93815i	−0.959961	+	0.126381i	−0.365770	+	0.930705i	$0.619194\pi$
$972$	1.76773	+	0.935491i	0.0566999	+	0.0300059i
$973$	−7.28176	+	1.21153i	−0.233442	+	0.0388399i
$974$	13.1630	+	36.5496i	0.421769	+	1.17113i
$975$	0.764688	+	1.32448i	0.0244896	+	0.0424173i
$976$	27.8757	+	9.20610i	0.892279	+	0.294680i
$977$	−49.2509	−	28.4350i	−1.57568	−	0.909717i	−0.995452	−	0.0952600i	$-0.969632\pi$
$977$	−49.2509	−	28.4350i	−1.57568	−	0.909717i	−0.580224	−	0.814457i	$-0.697035\pi$
$978$	−23.6492	−	19.9809i	−0.756220	−	0.638920i
$979$	70.0119	−	28.9999i	2.23759	−	0.926840i
$980$	4.18882	−	26.4606i	0.133807	−	0.845252i
$981$	5.56639	−	13.4385i	0.177721	−	0.429057i
$982$	44.4668	+	14.1860i	1.41899	+	0.452695i
$983$	−1.26531	−	4.72221i	−0.0403572	−	0.150615i	0.942807	−	0.333339i	$-0.108175\pi$
$983$	−1.26531	−	4.72221i	−0.0403572	−	0.150615i	−0.983164	+	0.182724i	$0.941509\pi$
$984$	−18.4978	−	14.4948i	−0.589689	−	0.462077i
$985$	14.6922	+	3.93677i	0.468134	+	0.125436i
$986$	−7.66570	−	0.360704i	−0.244126	−	0.0114872i
$987$	−0.220297	−	0.157448i	−0.00701212	−	0.00501163i
$988$	−1.40372	+	14.8830i	−0.0446584	+	0.473490i
$989$	−1.80942	+	2.35808i	−0.0575361	+	0.0749825i
$990$	−11.6779	+	8.11815i	−0.371148	+	0.258012i
$991$	−40.0429	−	23.1188i	−1.27200	−	0.734391i	−0.296639	−	0.954990i	$-0.595866\pi$
$991$	−40.0429	−	23.1188i	−1.27200	−	0.734391i	−0.975365	+	0.220598i	$0.929199\pi$
$992$	5.05067	−	48.2962i	0.160359	−	1.53340i
$993$		−	3.30380i		−	0.104843i
$994$	−33.5990	−	4.87028i	−1.06570	−	0.154476i
$995$	−40.3002	+	16.6929i	−1.27760	+	0.529200i
$996$	−13.3586	+	6.11943i	−0.423285	+	0.193902i
$997$	20.6730	+	26.9416i	0.654720	+	0.853248i	0.996241	−	0.0866262i	$-0.0276086\pi$
$997$	20.6730	+	26.9416i	0.654720	+	0.853248i	−0.341521	+	0.939874i	$0.610942\pi$
$998$	−3.63699	+	5.66649i	−0.115127	+	0.179370i
$999$	0.910628	−	3.39851i	0.0288110	−	0.107524i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
672.2.cf.a.19.3	✓	512	224.19	even	24	inner
672.2.cf.a.115.45	yes	512	32.19	odd	8	inner
672.2.cf.a.187.45	yes	512	7.5	odd	6	inner
672.2.cf.a.283.3	yes	512	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 $\F_{q}$

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

\(f(q)\)	\(=\)	\(q+(-1.40924 + 0.118485i) q^{2} +(0.991445 + 0.130526i) q^{3} +(1.97192 - 0.333949i) q^{4} +(-1.89721 + 0.249772i) q^{5} +(-1.41265 - 0.0664712i) q^{6} +(1.39993 + 2.24504i) q^{7} +(-2.73935 + 0.704258i) q^{8} +(0.965926 + 0.258819i) q^{9} +O(q^{10})\)	\(q+(-1.40924 + 0.118485i) q^{2} +(0.991445 + 0.130526i) q^{3} +(1.97192 - 0.333949i) q^{4} +(-1.89721 + 0.249772i) q^{5} +(-1.41265 - 0.0664712i) q^{6} +(1.39993 + 2.24504i) q^{7} +(-2.73935 + 0.704258i) q^{8} +(0.965926 + 0.258819i) q^{9} +(2.64403 - 0.576780i) q^{10} +(-4.16946 + 3.19934i) q^{11} +(1.99864 - 0.0737043i) q^{12} +(-0.437347 - 1.05585i) q^{13} +(-2.23884 - 2.99793i) q^{14} -1.91358 q^{15} +(3.77696 - 1.31704i) q^{16} +(-0.928038 + 1.60741i) q^{17} +(-1.39189 - 0.250290i) q^{18} +(-5.18875 - 3.98147i) q^{19} +(-3.65773 + 1.12610i) q^{20} +(1.09492 + 2.40856i) q^{21} +(5.49670 - 5.00266i) q^{22} +(0.431217 - 1.60932i) q^{23} +(-2.80784 + 0.340677i) q^{24} +(-1.29262 + 0.346357i) q^{25} +(0.741430 + 1.43613i) q^{26} +(0.923880 + 0.382683i) q^{27} +(3.51028 + 3.95954i) q^{28} +(-1.11882 - 2.70107i) q^{29} +(2.69669 - 0.226731i) q^{30} +(-4.29210 + 7.43413i) q^{31} +(-5.16659 + 2.30354i) q^{32} +(-4.55138 + 2.62774i) q^{33} +(1.11738 - 2.37519i) q^{34} +(-3.21670 - 3.90964i) q^{35} +(1.99116 + 0.187801i) q^{36} +(-0.459243 - 3.48830i) q^{37} +(7.78395 + 4.99606i) q^{38} +(-0.295789 - 1.10390i) q^{39} +(5.02120 - 2.02034i) q^{40} +(5.87510 + 5.87510i) q^{41} +(-1.82838 - 3.26451i) q^{42} +(-1.64819 - 0.682703i) q^{43} +(-7.15343 + 7.70123i) q^{44} +(-1.89721 - 0.249772i) q^{45} +(-0.417007 + 2.31902i) 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} +(-1.12991 + 1.47252i) q^{51} +(-1.21501 - 1.93600i) q^{52} +(-2.95494 - 3.85095i) q^{53} +(-1.34731 - 0.429827i) q^{54} +(7.11122 - 7.11122i) q^{55} +(-5.41598 - 5.16403i) q^{56} +(-4.62468 - 4.62468i) q^{57} +(1.89673 + 3.67390i) q^{58} +(-2.49816 + 1.91690i) q^{59} +(-3.77343 + 0.639037i) q^{60} +(5.82253 + 4.46778i) 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} +(6.10265 - 4.24240i) q^{66} +(-1.32084 + 10.0327i) q^{67} +(-1.29323 + 3.47960i) q^{68} +(0.637587 - 1.53927i) q^{69} +(4.99635 + 5.12849i) q^{70} +(6.41598 - 6.41598i) q^{71} +(-2.82828 - 0.0287338i) q^{72} +(-15.8351 + 4.24299i) q^{73} +(1.06050 + 4.86144i) q^{74} +(-1.32677 + 0.174673i) q^{75} +(-11.5614 - 6.11837i) q^{76} +(-13.0196 - 4.88174i) q^{77} +(0.547635 + 1.52062i) q^{78} +(5.92261 + 10.2583i) q^{79} +(-6.83671 + 3.44208i) q^{80} +(0.866025 + 0.500000i) q^{81} +(-8.97554 - 7.58332i) q^{82} +(-6.78754 + 2.81149i) q^{83} +(2.96343 + 4.38385i) q^{84} +(1.35919 - 3.28139i) q^{85} +(2.40359 + 0.766807i) q^{86} +(-0.756689 - 2.82400i) q^{87} +(9.16843 - 11.7005i) q^{88} +(-13.9280 - 3.73199i) q^{89} +(2.70322 + 0.127198i) q^{90} +(1.75817 - 2.45997i) q^{91} +(0.312895 - 3.31746i) q^{92} +(-5.22573 + 6.81030i) q^{93} +(0.118842 - 0.0826156i) q^{94} +(10.8386 + 6.25767i) q^{95} +(-5.42306 + 1.60946i) q^{96} -7.23473i q^{97} +(3.59624 - 9.22318i) 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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