LMFDB - Embedded newform 230.2.j.a.179.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [230,2,Mod(9,230)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(230, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 10]))

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

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

chi := DirichletCharacter("230.9");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 230 = 2 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	230.j (of order $22$, degree $10$, 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:	$1.83655924649$
Analytic rank:	$0$
Dimension:	$120$
Relative dimension:	$12$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			179.8
Character	$\chi$	$=$	230.179
Dual form			230.2.j.a.9.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.281733 - 0.959493i) q^{2} +(-1.78070 - 1.54299i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-0.284267 + 2.21793i) q^{5} +(-1.98217 + 1.27386i) q^{6} +(-3.91611 + 1.78843i) q^{7} +(-0.755750 + 0.654861i) q^{8} +(0.363147 + 2.52574i) q^{9} +O(q^{10})$	\(q+(0.281733 - 0.959493i) q^{2} +(-1.78070 - 1.54299i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-0.284267 + 2.21793i) q^{5} +(-1.98217 + 1.27386i) q^{6} +(-3.91611 + 1.78843i) q^{7} +(-0.755750 + 0.654861i) q^{8} +(0.363147 + 2.52574i) q^{9} +(2.04800 + 0.897613i) q^{10} +(-1.25450 + 0.368356i) q^{11} +(0.663820 + 2.26076i) q^{12} +(3.30504 + 1.50936i) q^{13} +(0.612689 + 4.26134i) q^{14} +(3.92843 - 3.51085i) q^{15} +(0.415415 + 0.909632i) q^{16} +(-2.01019 - 3.12792i) q^{17} +(2.52574 + 0.363147i) q^{18} +(-6.15283 - 3.95418i) q^{19} +(1.43824 - 1.71215i) q^{20} +(9.73296 + 2.85785i) q^{21} +1.30747i q^{22} +(-1.70861 + 4.48114i) q^{23} +2.35621 q^{24} +(-4.83839 - 1.26096i) q^{25} +(2.37936 - 2.74593i) q^{26} +(-0.571055 + 0.888580i) q^{27} +(4.26134 + 0.612689i) q^{28} +(-1.95209 + 1.25453i) q^{29} +(-2.26187 - 4.75842i) q^{30} +(3.09222 + 3.56861i) q^{31} +(0.989821 - 0.142315i) q^{32} +(2.80227 + 1.27975i) q^{33} +(-3.56755 + 1.04753i) q^{34} +(-2.85338 - 9.19404i) q^{35} +(1.06002 - 2.32112i) q^{36} +(-5.75617 + 0.827612i) q^{37} +(-5.52746 + 4.78957i) q^{38} +(-3.55637 - 7.78737i) q^{39} +(-1.23760 - 1.86235i) q^{40} +(0.430941 - 2.99726i) q^{41} +(5.48418 - 8.53356i) q^{42} +(-2.51557 - 2.17975i) q^{43} +(1.25450 + 0.368356i) q^{44} +(-5.70513 + 0.0874487i) q^{45} +(3.81826 + 2.90188i) q^{46} -5.43158i q^{47} +(0.663820 - 2.26076i) q^{48} +(7.55344 - 8.71714i) q^{49} +(-2.57302 + 4.28714i) q^{50} +(-1.24679 + 8.67159i) q^{51} +(-1.96436 - 3.05660i) q^{52} +(4.88892 - 2.23270i) q^{53} +(0.691701 + 0.798266i) q^{54} +(-0.460372 - 2.88711i) q^{55} +(1.78843 - 3.91611i) q^{56} +(4.85510 + 16.5350i) q^{57} +(0.653748 + 2.22646i) q^{58} +(2.87534 - 6.29611i) q^{59} +(-5.20291 + 0.829644i) q^{60} +(-6.18005 - 7.13216i) q^{61} +(4.29523 - 1.96157i) q^{62} +(-5.93923 - 9.24163i) q^{63} +(0.142315 - 0.989821i) q^{64} +(-4.28717 + 6.90128i) q^{65} +(2.01740 - 2.32821i) q^{66} +(-0.940726 + 3.20382i) q^{67} +3.71816i q^{68} +(9.95688 - 5.34322i) q^{69} +(-9.62551 + 0.147541i) q^{70} +(12.8774 + 3.78114i) q^{71} +(-1.92846 - 1.67102i) q^{72} +(-7.36715 + 11.4635i) q^{73} +(-0.827612 + 5.75617i) q^{74} +(6.67007 + 9.71097i) q^{75} +(3.03830 + 6.65294i) q^{76} +(4.25400 - 3.68611i) q^{77} +(-8.47387 + 1.21836i) q^{78} +(-6.84642 + 14.9916i) q^{79} +(-2.13558 + 0.662782i) q^{80} +(9.73300 - 2.85787i) q^{81} +(-2.75444 - 1.25791i) q^{82} +(9.90631 - 1.42431i) q^{83} +(-6.64281 - 7.66622i) q^{84} +(7.50892 - 3.56929i) q^{85} +(-2.80018 + 1.79956i) q^{86} +(5.41183 + 0.778103i) q^{87} +(0.706869 - 1.09991i) q^{88} +(-6.13634 + 7.08172i) q^{89} +(-1.52342 + 5.49867i) q^{90} -15.6423 q^{91} +(3.86006 - 2.84603i) q^{92} -11.1259i q^{93} +(-5.21156 - 1.53025i) q^{94} +(10.5191 - 12.5225i) q^{95} +(-1.98217 - 1.27386i) q^{96} +(4.82382 + 0.693560i) q^{97} +(-6.23598 - 9.70338i) q^{98} +(-1.38594 - 3.03478i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) $ 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9	$ 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) $ 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9 + 8 * q^11 - 6 * q^15 - 12 * q^16 - 16 * q^19 - 22 * q^20 + 4 * q^24 - 52 * q^25 - 4 * q^26 - 8 * q^29 - 44 * q^30 + 12 * q^31 + 16 * q^35 - 8 * q^36 - 36 * q^39 - 28 * q^41 - 8 * q^44 + 16 * q^45 - 4 * q^46 - 58 * q^49 + 12 * q^50 - 24 * q^51 - 6 * q^54 - 36 * q^55 + 22 * q^56 - 102 * q^59 - 38 * q^60 + 72 * q^61 + 12 * q^64 - 138 * q^65 + 80 * q^66 - 212 * q^69 - 108 * q^70 + 176 * q^71 - 88 * q^74 - 100 * q^75 + 16 * q^76 - 104 * q^79 - 22 * q^80 - 28 * q^81 - 22 * q^84 + 2 * q^85 + 62 * q^86 + 48 * q^89 + 24 * q^90 - 56 * q^91 + 24 * q^94 + 18 * q^95 - 4 * q^96 + 188 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$-1$	$e\left(\frac{6}{11}\right)$

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 $

$2$	0.281733	−	0.959493i	0.199215	−	0.678464i
$2$	0.281733	−	0.959493i	0.199215	−	0.678464i
$3$	−1.78070	−	1.54299i	−1.02809	−	0.890844i	−0.0340012	−	0.999422i	$-0.510825\pi$
$3$	−1.78070	−	1.54299i	−1.02809	−	0.890844i	−0.994088	+	0.108577i	$0.965370\pi$
$4$	−0.841254	−	0.540641i	−0.420627	−	0.270320i
$5$	−0.284267	+	2.21793i	−0.127128	+	0.991886i
$5$	−0.284267	+	2.21793i	−0.127128	+	0.991886i
$6$	−1.98217	+	1.27386i	−0.809217	+	0.520052i
$7$	−3.91611	+	1.78843i	−1.48015	+	0.675963i	−0.981609	−	0.190902i	$-0.938859\pi$
$7$	−3.91611	+	1.78843i	−1.48015	+	0.675963i	−0.498543	+	0.866865i	$0.666131\pi$
$8$	−0.755750	+	0.654861i	−0.267198	+	0.231528i
$9$	0.363147	+	2.52574i	0.121049	+	0.841913i
$10$	2.04800	+	0.897613i	0.647633	+	0.283850i
$11$	−1.25450	+	0.368356i	−0.378247	+	0.111063i	−0.465329	−	0.885138i	$-0.654064\pi$
$11$	−1.25450	+	0.368356i	−0.378247	+	0.111063i	0.0870819	+	0.996201i	$0.472246\pi$
$12$	0.663820	+	2.26076i	0.191628	+	0.652626i
$13$	3.30504	+	1.50936i	0.916654	+	0.418622i	0.817157	−	0.576416i	$-0.195549\pi$
$13$	3.30504	+	1.50936i	0.916654	+	0.418622i	0.0994977	+	0.995038i	$0.468276\pi$
$14$	0.612689	+	4.26134i	0.163748	+	1.13889i
$15$	3.92843	−	3.51085i	1.01432	−	0.906497i
$16$	0.415415	+	0.909632i	0.103854	+	0.227408i
$17$	−2.01019	−	3.12792i	−0.487543	−	0.758631i	0.507113	−	0.861880i	$-0.330713\pi$
$17$	−2.01019	−	3.12792i	−0.487543	−	0.758631i	−0.994656	+	0.103248i	$0.967076\pi$
$18$	2.52574	+	0.363147i	0.595323	+	0.0855945i
$19$	−6.15283	−	3.95418i	−1.41156	−	0.907152i	−0.411564	−	0.911381i	$-0.635017\pi$
$19$	−6.15283	−	3.95418i	−1.41156	−	0.907152i	−0.999991	+	0.00422920i	$0.998654\pi$
$20$	1.43824	−	1.71215i	0.321600	−	0.382849i
$21$	9.73296	+	2.85785i	2.12391	+	0.623635i
$22$			1.30747i			0.278753i
$23$	−1.70861	+	4.48114i	−0.356270	+	0.934383i
$23$	−1.70861	+	4.48114i	−0.356270	+	0.934383i
$24$	2.35621			0.480959
$25$	−4.83839	−	1.26096i	−0.967677	−	0.252193i
$26$	2.37936	−	2.74593i	0.466631	−	0.538521i
$27$	−0.571055	+	0.888580i	−0.109900	+	0.171007i
$28$	4.26134	+	0.612689i	0.805318	+	0.115787i
$29$	−1.95209	+	1.25453i	−0.362494	+	0.232961i	−0.709191	−	0.705016i	$-0.750940\pi$
$29$	−1.95209	+	1.25453i	−0.362494	+	0.232961i	0.346697	+	0.937977i	$0.387303\pi$
$30$	−2.26187	−	4.75842i	−0.412958	−	0.868764i
$31$	3.09222	+	3.56861i	0.555378	+	0.640941i	0.962128	−	0.272599i	$-0.0878832\pi$
$31$	3.09222	+	3.56861i	0.555378	+	0.640941i	−0.406749	+	0.913540i	$0.633338\pi$
$32$	0.989821	−	0.142315i	0.174977	−	0.0251579i
$33$	2.80227	+	1.27975i	0.487812	+	0.222776i
$34$	−3.56755	+	1.04753i	−0.611830	+	0.179649i
$35$	−2.85338	−	9.19404i	−0.482310	−	1.55408i
$36$	1.06002	−	2.32112i	0.176670	−	0.386853i
$37$	−5.75617	+	0.827612i	−0.946308	+	0.136059i	−0.598156	−	0.801379i	$-0.704100\pi$
$37$	−5.75617	+	0.827612i	−0.946308	+	0.136059i	−0.348152	+	0.937438i	$0.613191\pi$
$38$	−5.52746	+	4.78957i	−0.896673	+	0.776971i
$39$	−3.55637	−	7.78737i	−0.569475	−	1.24698i
$40$	−1.23760	−	1.86235i	−0.195681	−	0.294464i
$41$	0.430941	−	2.99726i	0.0673017	−	0.468093i	−0.928102	−	0.372326i	$-0.878560\pi$
$41$	0.430941	−	2.99726i	0.0673017	−	0.468093i	0.995404	−	0.0957675i	$-0.0305305\pi$
$42$	5.48418	−	8.53356i	0.846228	−	1.31676i
$43$	−2.51557	−	2.17975i	−0.383621	−	0.332409i	0.441608	−	0.897208i	$-0.354408\pi$
$43$	−2.51557	−	2.17975i	−0.383621	−	0.332409i	−0.825229	+	0.564799i	$0.808954\pi$
$44$	1.25450	+	0.368356i	0.189124	+	0.0555317i
$45$	−5.70513	+	0.0874487i	−0.850471	+	0.0130361i
$46$	3.81826	+	2.90188i	0.562971	+	0.427859i
$47$		−	5.43158i		−	0.792277i	−0.918191	−	0.396138i	$-0.870350\pi$
$47$		−	5.43158i		−	0.792277i	0.918191	−	0.396138i	$-0.129650\pi$
$48$	0.663820	−	2.26076i	0.0958142	−	0.326313i
$49$	7.55344	−	8.71714i	1.07906	−	1.24531i
$50$	−2.57302	+	4.28714i	−0.363879	+	0.606293i
$51$	−1.24679	+	8.67159i	−0.174585	+	1.21427i
$52$	−1.96436	−	3.05660i	−0.272407	−	0.423874i
$53$	4.88892	−	2.23270i	0.671545	−	0.306684i	−0.0503049	−	0.998734i	$-0.516019\pi$
$53$	4.88892	−	2.23270i	0.671545	−	0.306684i	0.721850	+	0.692050i	$0.243292\pi$
$54$	0.691701	+	0.798266i	0.0941286	+	0.108630i
$55$	−0.460372	−	2.88711i	−0.0620765	−	0.389297i
$56$	1.78843	−	3.91611i	0.238989	−	0.523313i
$57$	4.85510	+	16.5350i	0.643074	+	2.19011i
$58$	0.653748	+	2.22646i	0.0858414	+	0.292349i
$59$	2.87534	−	6.29611i	0.374337	−	0.819683i	−0.624903	−	0.780702i	$-0.714862\pi$
$59$	2.87534	−	6.29611i	0.374337	−	0.819683i	0.999240	−	0.0389811i	$-0.0124112\pi$
$60$	−5.20291	+	0.829644i	−0.671693	+	0.107107i
$61$	−6.18005	−	7.13216i	−0.791274	−	0.913179i	0.206595	−	0.978427i	$-0.433762\pi$
$61$	−6.18005	−	7.13216i	−0.791274	−	0.913179i	−0.997869	+	0.0652474i	$0.979216\pi$
$62$	4.29523	−	1.96157i	0.545495	−	0.249119i
$63$	−5.93923	−	9.24163i	−0.748273	−	1.16434i
$64$	0.142315	−	0.989821i	0.0177894	−	0.123728i
$65$	−4.28717	+	6.90128i	−0.531758	+	0.855998i
$66$	2.01740	−	2.32821i	0.248325	−	0.286582i
$67$	−0.940726	+	3.20382i	−0.114928	+	0.391409i	−0.996786	−	0.0801056i	$-0.974474\pi$
$67$	−0.940726	+	3.20382i	−0.114928	+	0.391409i	0.881858	+	0.471514i	$0.156292\pi$
$68$			3.71816i			0.450893i
$69$	9.95688	−	5.34322i	1.19867	−	0.643248i
$70$	−9.62551	+	0.147541i	−1.15047	+	0.0176345i
$71$	12.8774	+	3.78114i	1.52826	+	0.448739i	0.934519	−	0.355914i	$-0.115830\pi$
$71$	12.8774	+	3.78114i	1.52826	+	0.448739i	0.593746	+	0.804653i	$0.297648\pi$
$72$	−1.92846	−	1.67102i	−0.227271	−	0.196931i
$73$	−7.36715	+	11.4635i	−0.862260	+	1.34170i	0.0764786	+	0.997071i	$0.475632\pi$
$73$	−7.36715	+	11.4635i	−0.862260	+	1.34170i	−0.938738	+	0.344631i	$0.888004\pi$
$74$	−0.827612	+	5.75617i	−0.0962080	+	0.669141i
$75$	6.67007	+	9.71097i	0.770194	+	1.12133i
$76$	3.03830	+	6.65294i	0.348516	+	0.763144i
$77$	4.25400	−	3.68611i	0.484788	−	0.420072i
$78$	−8.47387	+	1.21836i	−0.959477	+	0.137952i
$79$	−6.84642	+	14.9916i	−0.770282	+	1.68668i	−0.0442519	+	0.999020i	$0.514090\pi$
$79$	−6.84642	+	14.9916i	−0.770282	+	1.68668i	−0.726030	+	0.687663i	$0.758637\pi$
$80$	−2.13558	+	0.662782i	−0.238766	+	0.0741012i
$81$	9.73300	−	2.85787i	1.08144	−	0.317541i
$82$	−2.75444	−	1.25791i	−0.304177	−	0.138913i
$83$	9.90631	−	1.42431i	1.08736	−	0.156339i	0.424755	−	0.905308i	$-0.360360\pi$
$83$	9.90631	−	1.42431i	1.08736	−	0.156339i	0.662604	+	0.748970i	$0.269451\pi$
$84$	−6.64281	−	7.66622i	−0.724790	−	0.836453i
$85$	7.50892	−	3.56929i	0.814456	−	0.387144i
$86$	−2.80018	+	1.79956i	−0.301951	+	0.194052i
$87$	5.41183	+	0.778103i	0.580209	+	0.0834214i
$88$	0.706869	−	1.09991i	0.0753525	−	0.117251i
$89$	−6.13634	+	7.08172i	−0.650451	+	0.750660i	−0.981186	−	0.193063i	$-0.938158\pi$
$89$	−6.13634	+	7.08172i	−0.650451	+	0.750660i	0.330735	+	0.943724i	$0.392703\pi$
$90$	−1.52342	+	5.49867i	−0.160582	+	0.579611i
$91$	−15.6423			−1.63976
$92$	3.86006	−	2.84603i	0.402439	−	0.296720i
$93$		−	11.1259i		−	1.15370i
$94$	−5.21156	−	1.53025i	−0.537531	−	0.157833i
$95$	10.5191	−	12.5225i	1.07924	−	1.28478i
$96$	−1.98217	−	1.27386i	−0.202304	−	0.130013i
$97$	4.82382	+	0.693560i	0.489784	+	0.0704203i	0.382783	−	0.923838i	$-0.374966\pi$
$97$	4.82382	+	0.693560i	0.489784	+	0.0704203i	0.107002	+	0.994259i	$0.465875\pi$
$98$	−6.23598	−	9.70338i	−0.629929	−	0.980189i
$99$	−1.38594	−	3.03478i	−0.139292	−	0.305007i
$100$	3.38858	+	3.67662i	0.338858	+	0.367662i
$101$	−0.244633	−	1.70146i	−0.0243419	−	0.169301i	0.974024	−	0.226444i	$-0.0727101\pi$
$101$	−0.244633	−	1.70146i	−0.0243419	−	0.169301i	−0.998366	+	0.0571427i	$0.981801\pi$
$102$	7.96907	+	3.63935i	0.789055	+	0.360350i
$103$	−3.10262	−	10.5665i	−0.305710	−	1.04115i	−0.958849	−	0.283915i	$-0.908367\pi$
$103$	−3.10262	−	10.5665i	−0.305710	−	1.04115i	0.653139	−	0.757238i	$-0.273452\pi$
$104$	−3.48621	+	1.02364i	−0.341851	+	0.100376i
$105$	−9.10526	+	20.7746i	−0.888583	+	2.02739i
$106$	−0.764887	−	5.31991i	−0.0742924	−	0.516715i
$107$	11.8399	−	10.2593i	1.14460	−	0.991806i	0.144607	−	0.989489i	$-0.453808\pi$
$107$	11.8399	−	10.2593i	1.14460	−	0.991806i	0.999997	−	0.00231658i	$-0.000737390\pi$
$108$	0.960805	−	0.438785i	0.0924535	−	0.0422221i
$109$	−12.3075	+	7.90955i	−1.17885	+	0.757598i	−0.975174	−	0.221441i	$-0.928924\pi$
$109$	−12.3075	+	7.90955i	−1.17885	+	0.757598i	−0.203672	+	0.979039i	$0.565287\pi$
$110$	−2.89986	−	0.371669i	−0.276491	−	0.0354372i
$111$	11.5270	+	7.40797i	1.09410	+	0.703133i
$112$	−3.25362	−	2.81928i	−0.307439	−	0.266397i
$113$	−2.42346	+	8.25354i	−0.227980	+	0.776428i	0.763459	+	0.645856i	$0.223499\pi$
$113$	−2.42346	+	8.25354i	−0.227980	+	0.776428i	−0.991439	+	0.130572i	$0.958319\pi$
$114$	17.2330			1.61402
$115$	−9.45314	−	5.06341i	−0.881510	−	0.472165i
$116$	2.32046			0.215449
$117$	−2.61204	+	8.89580i	−0.241483	+	0.822417i
$118$	−5.23100	−	4.53268i	−0.481552	−	0.417267i
$119$	13.4662	+	8.65420i	1.23444	+	0.793329i
$120$	−0.669791	+	5.22589i	−0.0611433	+	0.477056i
$121$	−7.81570	+	5.02284i	−0.710518	+	0.456622i
$122$	−8.58438	+	3.92035i	−0.777193	+	0.354932i
$123$	−5.39211	+	4.67229i	−0.486191	+	0.421286i
$124$	−0.672003	−	4.67388i	−0.0603476	−	0.419727i
$125$	4.17211	−	10.3727i	0.373165	−	0.927765i
$126$	−10.5405	+	3.09498i	−0.939027	+	0.275723i
$127$	1.77591	+	6.04819i	0.157586	+	0.536690i	0.999998	−	0.00214510i	$-0.000682807\pi$
$127$	1.77591	+	6.04819i	0.157586	+	0.536690i	−0.842411	+	0.538835i	$0.818865\pi$
$128$	−0.909632	−	0.415415i	−0.0804009	−	0.0367178i
$129$	1.11615	+	7.76299i	0.0982714	+	0.683493i
$130$	5.41389	+	6.05782i	0.474830	+	0.531306i
$131$	−3.36642	−	7.37143i	−0.294125	−	0.644045i	0.703662	−	0.710535i	$-0.251547\pi$
$131$	−3.36642	−	7.37143i	−0.294125	−	0.644045i	−0.997787	+	0.0664903i	$0.978820\pi$
$132$	−1.66553	−	2.59162i	−0.144966	−	0.225571i
$133$	31.1669	+	4.48113i	2.70252	+	0.388563i
$134$	2.80901	+	1.80524i	0.242661	+	0.155949i
$135$	−1.80847	−	1.51915i	−0.155648	−	0.130748i
$136$	3.56755	+	1.04753i	0.305915	+	0.0898247i
$137$			1.57636i			0.134678i	0.997730	+	0.0673389i	$0.0214509\pi$
$137$			1.57636i			0.134678i	−0.997730	+	0.0673389i	$0.978549\pi$
$138$	−2.32161	−	11.0589i	−0.197628	−	0.941397i
$139$	7.81443			0.662812			0.331406	−	0.943488i	$-0.392477\pi$
$139$	7.81443			0.662812			0.331406	+	0.943488i	$0.392477\pi$
$140$	−2.57025	+	9.27717i	−0.217226	+	0.784064i
$141$	−8.38085	+	9.67202i	−0.705795	+	0.814531i
$142$	7.25596	−	11.2905i	0.608907	−	0.947477i
$143$	−4.70217	−	0.676070i	−0.393215	−	0.0565358i
$144$	−2.14664	+	1.37956i	−0.178886	+	0.114963i
$145$	−2.22755	−	4.68622i	−0.184988	−	0.389169i
$146$	8.92359	+	10.2984i	0.738522	+	0.852299i
$147$	−26.9009	+	3.86776i	−2.21875	+	0.319008i
$148$	5.28984	+	2.41579i	0.434822	+	0.198577i
$149$	−13.5818	+	3.98799i	−1.11267	+	0.326709i	−0.785874	−	0.618387i	$-0.787787\pi$
$149$	−13.5818	+	3.98799i	−1.11267	+	0.326709i	−0.326794	+	0.945096i	$0.605968\pi$
$150$	11.1968	−	3.66399i	0.914214	−	0.299164i
$151$	−3.59910	+	7.88093i	−0.292890	+	0.641341i	−0.997680	−	0.0680756i	$-0.978314\pi$
$151$	−3.59910	+	7.88093i	−0.292890	+	0.641341i	0.704790	+	0.709416i	$0.251041\pi$
$152$	7.23943	−	1.04087i	0.587196	−	0.0844260i
$153$	7.17031	−	6.21311i	0.579685	−	0.502300i
$154$	−2.33831	−	5.12018i	−0.188426	−	0.412596i
$155$	−8.79392	+	5.84387i	−0.706345	+	0.469391i
$156$	−1.21836	+	8.47387i	−0.0975468	+	0.678453i
$157$	−7.84285	+	12.2037i	−0.625927	+	0.973962i	0.373008	+	0.927828i	$0.378326\pi$
$157$	−7.84285	+	12.2037i	−0.625927	+	0.973962i	−0.998935	+	0.0461338i	$0.985310\pi$
$158$	12.4554	+	10.7927i	0.990902	+	0.858621i
$159$	−12.1507	−	3.56778i	−0.963616	−	0.282943i
$160$	0.0342706	+	2.23581i	0.00270933	+	0.176756i
$161$	−1.32310	−	20.6044i	−0.104275	−	1.62385i
$162$		−	10.1439i		−	0.796980i
$163$	1.26950	−	4.32352i	0.0994349	−	0.338644i	−0.894717	−	0.446633i	$-0.852623\pi$
$163$	1.26950	−	4.32352i	0.0994349	−	0.338644i	0.994152	+	0.107989i	$0.0344411\pi$
$164$	−1.98297	+	2.28847i	−0.154844	+	0.178700i
$165$	−3.63499	+	5.85143i	−0.282983	+	0.455533i
$166$	1.42431	−	9.90631i	0.110548	−	0.768879i
$167$	0.494968	+	0.770186i	0.0383018	+	0.0595988i	0.859876	−	0.510502i	$-0.170540\pi$
$167$	0.494968	+	0.770186i	0.0383018	+	0.0595988i	−0.821575	+	0.570101i	$0.806904\pi$
$168$	−9.22718	+	4.21391i	−0.711892	+	0.325110i
$169$	0.131948	+	0.152276i	0.0101499	+	0.0117136i
$170$	−1.30920	−	8.21034i	−0.100411	−	0.629704i
$171$	7.75286	−	16.9764i	0.592876	−	1.29822i
$172$	0.937768	+	3.19374i	0.0715041	+	0.243521i
$173$	−3.71057	−	12.6370i	−0.282109	−	0.960776i	−0.971629	−	0.236509i	$-0.923997\pi$
$173$	−3.71057	−	12.6370i	−0.282109	−	0.960776i	0.689520	−	0.724267i	$-0.257822\pi$
$174$	2.27127	−	4.97339i	0.172185	−	0.377032i
$175$	21.2028	−	3.71503i	1.60278	−	0.280830i
$176$	−0.856208	−	0.988116i	−0.0645391	−	0.0744821i
$177$	−14.8349	+	6.77489i	−1.11506	+	0.509232i
$178$	5.06605	+	7.88293i	0.379716	+	0.590850i
$179$	−0.708769	+	4.92960i	−0.0529759	+	0.368455i	0.946038	+	0.324056i	$0.105047\pi$
$179$	−0.708769	+	4.92960i	−0.0529759	+	0.368455i	−0.999014	+	0.0443996i	$0.985863\pi$
$180$	4.84674	+	3.01086i	0.361255	+	0.224416i
$181$	4.82808	−	5.57190i	0.358868	−	0.414156i	−0.547392	−	0.836876i	$-0.684379\pi$
$181$	4.82808	−	5.57190i	0.358868	−	0.414156i	0.906260	+	0.422720i	$0.138925\pi$
$182$	−4.40695	+	15.0087i	−0.326665	+	1.11252i
$183$			22.2360i			1.64373i
$184$	−1.64324	−	4.50552i	−0.121142	−	0.332152i
$185$	−0.199296	−	13.0020i	−0.0146525	−	0.955927i
$186$	−10.6752	−	3.13452i	−0.782744	−	0.229834i
$187$	3.67398	+	3.18352i	0.268668	+	0.232802i
$188$	−2.93653	+	4.56933i	−0.214169	+	0.333253i
$189$	0.647156	−	4.50107i	0.0470737	−	0.327405i
$190$	−9.05164	−	13.6210i	−0.656675	−	0.988172i
$191$	9.03003	+	19.7730i	0.653390	+	1.43072i	0.888555	+	0.458769i	$0.151710\pi$
$191$	9.03003	+	19.7730i	0.653390	+	1.43072i	−0.235165	+	0.971955i	$0.575563\pi$
$192$	−1.78070	+	1.54299i	−0.128511	+	0.111356i
$193$	4.41957	−	0.635438i	0.318127	−	0.0457398i	0.0185985	−	0.999827i	$-0.494080\pi$
$193$	4.41957	−	0.635438i	0.318127	−	0.0457398i	0.299529	+	0.954087i	$0.403170\pi$
$194$	2.02449	−	4.43302i	0.145350	−	0.318272i
$195$	18.2828	−	5.67408i	1.30926	−	0.406329i
$196$	−11.0672	+	3.24962i	−0.790514	+	0.232116i
$197$	−8.24566	−	3.76567i	−0.587479	−	0.268293i	0.0994199	−	0.995046i	$-0.468301\pi$
$197$	−8.24566	−	3.76567i	−0.587479	−	0.268293i	−0.686899	+	0.726753i	$0.741029\pi$
$198$	−3.30232	+	0.474802i	−0.234686	+	0.0337427i
$199$	−4.76383	−	5.49775i	−0.337699	−	0.389725i	0.561346	−	0.827581i	$-0.310284\pi$
$199$	−4.76383	−	5.49775i	−0.337699	−	0.389725i	−0.899045	+	0.437856i	$0.855738\pi$
$200$	4.48236	−	2.21550i	0.316951	−	0.156659i
$201$	6.61861	−	4.25352i	0.466840	−	0.300020i
$202$	−1.70146	−	0.244633i	−0.119714	−	0.0172123i
$203$	5.40097	−	8.40408i	0.379074	−	0.589851i
$204$	5.73708	−	6.62094i	0.401676	−	0.463559i
$205$	6.52520	+	1.80782i	0.455740	+	0.126263i
$206$	−11.0126			−0.767287
$207$	−11.9387	−	2.68819i	−0.829796	−	0.186842i
$208$			3.63339i			0.251930i
$209$	9.17529	+	2.69411i	0.634668	+	0.186355i
$210$	17.3678	+	14.5893i	1.19849	+	1.00676i
$211$	−20.4414	−	13.1369i	−1.40724	−	0.904381i	−0.407284	−	0.913301i	$-0.633524\pi$
$211$	−20.4414	−	13.1369i	−1.40724	−	0.904381i	−0.999960	+	0.00892008i	$0.997161\pi$
$212$	−5.31991	−	0.764887i	−0.365373	−	0.0525327i
$213$	−17.0965	−	26.6027i	−1.17144	−	1.82279i
$214$	−6.50806	−	14.2507i	−0.444882	−	0.974156i
$215$	5.54962	−	4.95971i	0.378481	−	0.338250i
$216$	−0.150321	−	1.04551i	−0.0102280	−	0.0711376i
$217$	−18.4917	−	8.44487i	−1.25530	−	0.573275i
$218$	4.12174	+	14.0373i	0.279159	+	0.950729i
$219$	30.8068	−	9.04568i	2.08173	−	0.611250i
$220$	−1.17360	+	2.67768i	−0.0791240	+	0.180529i
$221$	−1.92260	−	13.3720i	−0.129328	−	0.899499i
$222$	10.3554	−	8.97303i	0.695011	−	0.602230i
$223$	−17.7521	+	8.10713i	−1.18877	+	0.542894i	−0.908847	−	0.417129i	$-0.863036\pi$
$223$	−17.7521	+	8.10713i	−1.18877	+	0.542894i	−0.279924	+	0.960022i	$0.590309\pi$
$224$	−3.62173	+	2.32755i	−0.241987	+	0.155516i
$225$	1.42782	−	12.6784i	0.0951882	−	0.845228i
$226$	7.23645	+	4.65058i	0.481361	+	0.309352i
$227$	5.08672	+	4.40767i	0.337618	+	0.292547i	0.807124	−	0.590382i	$-0.201023\pi$
$227$	5.08672	+	4.40767i	0.337618	+	0.292547i	−0.469507	+	0.882929i	$0.655568\pi$
$228$	4.85510	−	16.5350i	0.321537	−	1.09505i
$229$	19.3357			1.27774			0.638870	−	0.769315i	$-0.279402\pi$
$229$	19.3357			1.27774			0.638870	+	0.769315i	$0.279402\pi$
$230$	−7.52156	+	7.64370i	−0.495957	+	0.504010i
$231$	−13.2627			−0.872624
$232$	0.653748	−	2.22646i	0.0429207	−	0.146174i
$233$	6.37223	+	5.52157i	0.417459	+	0.361730i	0.838118	−	0.545489i	$-0.183656\pi$
$233$	6.37223	+	5.52157i	0.417459	+	0.361730i	−0.420660	+	0.907219i	$0.638201\pi$
$234$	7.79956	+	5.01247i	0.509873	+	0.327676i
$235$	12.0468	+	1.54402i	0.785848	+	0.100720i
$236$	−5.82282	+	3.74210i	−0.379033	+	0.243590i
$237$	35.3232	−	16.1316i	2.29449	−	1.04786i
$238$	12.0975	−	10.4825i	0.784165	−	0.679483i
$239$	2.70204	+	18.7931i	0.174780	+	1.21562i	0.868615	+	0.495488i	$0.165011\pi$
$239$	2.70204	+	18.7931i	0.174780	+	1.21562i	−0.693835	+	0.720134i	$0.744080\pi$
$240$	4.82550	+	2.11496i	0.311485	+	0.136520i
$241$	3.65232	−	1.07242i	0.235267	−	0.0690806i	−0.161974	−	0.986795i	$-0.551786\pi$
$241$	3.65232	−	1.07242i	0.235267	−	0.0690806i	0.397241	+	0.917714i	$0.369968\pi$
$242$	2.61745	+	8.91420i	0.168256	+	0.573027i
$243$	−18.8588	−	8.61253i	−1.20979	−	0.552494i
$244$	1.34305	+	9.34114i	0.0859802	+	0.598005i
$245$	17.1868	+	19.2310i	1.09802	+	1.22862i
$246$	2.96390	+	6.49003i	0.188971	+	0.413789i
$247$	−14.3671	−	22.3556i	−0.914155	−	1.42245i
$248$	−4.67388	−	0.672003i	−0.296792	−	0.0426722i
$249$	−19.8379	−	12.7490i	−1.25718	−	0.807938i
$250$	−8.77714	−	6.92545i	−0.555115	−	0.438004i
$251$	−23.4540	−	6.88672i	−1.48041	−	0.434686i	−0.560940	−	0.827857i	$-0.689560\pi$
$251$	−23.4540	−	6.88672i	−1.48041	−	0.434686i	−0.919466	+	0.393170i	$0.871378\pi$
$252$			10.9855i			0.692024i
$253$	0.492803	−	6.25099i	0.0309823	−	0.392996i
$254$	6.30353			0.395518
$255$	−18.8785	−	5.23032i	−1.18222	−	0.327535i
$256$	−0.654861	+	0.755750i	−0.0409288	+	0.0472343i
$257$	−12.9947	+	20.2202i	−0.810590	+	1.26130i	0.151470	+	0.988462i	$0.451599\pi$
$257$	−12.9947	+	20.2202i	−0.810590	+	1.26130i	−0.962059	+	0.272840i	$0.912037\pi$
$258$	7.76299	+	1.11615i	0.483302	+	0.0694884i
$259$	21.0617	−	13.5355i	1.30871	−	0.841057i
$260$	7.33771	−	3.48791i	0.455065	−	0.216311i
$261$	−3.87752	−	4.47490i	−0.240013	−	0.276989i
$262$	−8.02127	+	1.15328i	−0.495555	+	0.0712501i
$263$	8.75091	+	3.99641i	0.539604	+	0.246429i	0.666524	−	0.745484i	$-0.267782\pi$
$263$	8.75091	+	3.99641i	0.539604	+	0.246429i	−0.126919	+	0.991913i	$0.540509\pi$
$264$	−2.95587	+	0.867922i	−0.181921	+	0.0534169i
$265$	3.56220	+	11.4779i	0.218824	+	0.705084i
$266$	13.0804	−	28.6420i	0.802008	−	1.75615i
$267$	21.8540	−	3.14213i	1.33744	−	0.192295i
$268$	2.52350	−	2.18663i	0.154148	−	0.133570i
$269$	−2.16155	−	4.73314i	−0.131792	−	0.288585i	0.832219	−	0.554448i	$-0.187070\pi$
$269$	−2.16155	−	4.73314i	−0.131792	−	0.288585i	−0.964011	+	0.265863i	$0.914343\pi$
$270$	−1.96712	+	1.30722i	−0.119715	+	0.0795549i
$271$	0.765162	−	5.32182i	0.0464803	−	0.323277i	−0.953294	−	0.302043i	$-0.902331\pi$
$271$	0.765162	−	5.32182i	0.0464803	−	0.323277i	0.999775	−	0.0212343i	$-0.00675960\pi$
$272$	2.01019	−	3.12792i	0.121886	−	0.189658i
$273$	27.8543	+	24.1359i	1.68582	+	1.46077i
$274$	1.51251	+	0.444113i	0.0913740	+	0.0268298i
$275$	6.53426	−	0.200362i	0.394030	−	0.0120823i
$276$	−11.2650	−	0.888090i	−0.678075	−	0.0534567i
$277$		−	8.06429i		−	0.484536i	−0.970209	−	0.242268i	$-0.922109\pi$
$277$		−	8.06429i		−	0.484536i	0.970209	−	0.242268i	$-0.0778913\pi$
$278$	2.20158	−	7.49789i	0.132042	−	0.449694i
$279$	−7.89045	+	9.10606i	−0.472389	+	0.545166i
$280$	8.17726	+	5.07982i	0.488685	+	0.303577i
$281$	−0.847911	+	5.89735i	−0.0505822	+	0.351807i	0.948775	+	0.315953i	$0.102324\pi$
$281$	−0.847911	+	5.89735i	−0.0505822	+	0.351807i	−0.999357	+	0.0358538i	$0.988585\pi$
$282$	6.91908	+	10.7663i	0.412025	+	0.641124i
$283$	−29.5406	+	13.4907i	−1.75600	+	0.801941i	−0.769409	+	0.638756i	$0.779449\pi$
$283$	−29.5406	+	13.4907i	−1.75600	+	0.801941i	−0.986596	+	0.163184i	$0.947823\pi$
$284$	−8.78891	−	10.1429i	−0.521526	−	0.601873i
$285$	−38.0534	+	6.06792i	−2.25409	+	0.359432i
$286$	−1.97344	+	4.32123i	−0.116692	+	0.255520i
$287$	3.67277	+	12.5083i	0.216797	+	0.738343i
$288$	0.718901	+	2.44835i	0.0423616	+	0.144270i
$289$	1.31905	−	2.88833i	0.0775915	−	0.169902i
$290$	−5.12397	+	0.817056i	−0.300890	+	0.0479792i
$291$	−7.51963	−	8.67811i	−0.440808	−	0.508720i
$292$	12.3953	−	5.66074i	0.725379	−	0.331269i
$293$	−6.81660	−	10.6068i	−0.398230	−	0.619658i	0.583006	−	0.812468i	$-0.301876\pi$
$293$	−6.81660	−	10.6068i	−0.398230	−	0.619658i	−0.981236	+	0.192810i	$0.938240\pi$
$294$	−3.86776	+	26.9009i	−0.225572	+	1.56889i
$295$	13.1469	+	8.16705i	0.765444	+	0.475504i
$296$	3.80825	−	4.39496i	0.221350	−	0.255452i
$297$	0.389078	−	1.32508i	0.0225766	−	0.0768888i
$298$			14.1552i			0.819991i
$299$	−12.4107	+	12.2315i	−0.717729	+	0.707364i
$300$	−0.361076	−	11.7755i	−0.0208468	−	0.679859i
$301$	13.7496	+	4.03724i	0.792513	+	0.232703i
$302$	6.54771	+	5.67362i	0.376778	+	0.326480i
$303$	−2.18971	+	3.40726i	−0.125796	+	0.195742i
$304$	1.04087	−	7.23943i	0.0596982	−	0.415210i
$305$	17.5754	−	11.6795i	1.00636	−	0.668764i
$306$	−3.94133	−	8.63030i	−0.225311	−	0.493361i
$307$	−9.29366	+	8.05300i	−0.530417	+	0.459609i	−0.878423	−	0.477883i	$-0.841404\pi$
$307$	−9.29366	+	8.05300i	−0.530417	+	0.459609i	0.348006	+	0.937492i	$0.386859\pi$
$308$	−5.57156	+	0.801069i	−0.317469	+	0.0456451i
$309$	−10.7792	+	23.6032i	−0.613208	+	1.34274i
$310$	3.12962	+	10.0841i	0.177750	+	0.572739i
$311$	−31.7774	+	9.33069i	−1.80193	+	0.529095i	−0.997857	−	0.0654336i	$-0.979157\pi$
$311$	−31.7774	+	9.33069i	−1.80193	+	0.529095i	−0.804075	+	0.594528i	$0.797339\pi$
$312$	7.78737	+	3.55637i	0.440873	+	0.201340i
$313$	7.05257	−	1.01401i	0.398635	−	0.0573150i	0.0599178	−	0.998203i	$-0.480916\pi$
$313$	7.05257	−	1.01401i	0.398635	−	0.0573150i	0.338717	+	0.940888i	$0.390007\pi$
$314$	9.49979	+	10.9633i	0.536104	+	0.618697i
$315$	22.1856	−	10.5457i	1.25001	−	0.594182i
$316$	13.8646	−	8.91025i	0.779946	−	0.501241i
$317$	7.02902	+	1.01062i	0.394789	+	0.0567621i	0.336851	−	0.941558i	$-0.390638\pi$
$317$	7.02902	+	1.01062i	0.394789	+	0.0567621i	0.0579384	+	0.998320i	$0.481547\pi$
$318$	−6.84652	+	10.6534i	−0.383934	+	0.597412i
$319$	1.98679	−	2.29288i	0.111239	−	0.128377i
$320$	2.15489	+	0.597017i	0.120462	+	0.0333743i
$321$	−36.9133			−2.06030
$322$	−20.1425	−	4.53543i	−1.12250	−	0.252749i
$323$			27.1942i			1.51313i
$324$	−9.73300	−	2.85787i	−0.540722	−	0.158770i
$325$	−14.0878	−	11.4704i	−0.781452	−	0.636264i
$326$	−3.79073	−	2.43615i	−0.209949	−	0.134926i
$327$	34.1204	+	4.90577i	1.88686	+	0.271289i
$328$	1.63710	+	2.54738i	0.0903940	+	0.140656i
$329$	9.71399	+	21.2707i	0.535550	+	1.17269i
$330$	4.59031	+	5.13628i	0.252688	+	0.282743i
$331$	3.51924	+	24.4768i	0.193435	+	1.34537i	0.822832	+	0.568285i	$0.192393\pi$
$331$	3.51924	+	24.4768i	0.193435	+	1.34537i	−0.629397	+	0.777084i	$0.716698\pi$
$332$	−9.10376	−	4.15755i	−0.499634	−	0.228175i
$333$	−4.18067	−	14.2380i	−0.229099	−	0.780240i
$334$	0.878437	−	0.257932i	0.0480659	−	0.0141134i
$335$	−6.83841	−	2.99720i	−0.373622	−	0.163754i
$336$	1.44362	+	10.0406i	0.0787560	+	0.547760i
$337$	8.97814	−	7.77960i	0.489070	−	0.423782i	−0.375098	−	0.926985i	$-0.622391\pi$
$337$	8.97814	−	7.77960i	0.489070	−	0.423782i	0.864168	+	0.503203i	$0.167845\pi$
$338$	0.183282	−	0.0837022i	0.00996924	−	0.00455280i
$339$	17.0506	−	10.9577i	0.926060	−	0.595143i
$340$	−8.24661	−	1.05695i	−0.447235	−	0.0573211i
$341$	−5.19371	−	3.33780i	−0.281255	−	0.180752i
$342$	−14.1045	−	12.2216i	−0.762684	−	0.660869i
$343$	−5.49983	+	18.7307i	−0.296963	+	1.01136i
$344$	3.32858			0.179465
$345$	9.02046	+	23.6025i	0.485645	+	1.27072i
$346$	−13.1705			−0.708052
$347$	2.29146	−	7.80401i	0.123012	−	0.418941i	−0.874843	−	0.484407i	$-0.839035\pi$
$347$	2.29146	−	7.80401i	0.123012	−	0.418941i	0.997855	+	0.0654662i	$0.0208535\pi$
$348$	−4.13204	−	3.58044i	−0.221501	−	0.191932i
$349$	−1.01930	−	0.655061i	−0.0545616	−	0.0350646i	0.513076	−	0.858343i	$-0.328506\pi$
$349$	−1.01930	−	0.655061i	−0.0545616	−	0.0350646i	−0.567637	+	0.823279i	$0.692142\pi$
$350$	2.40898	−	21.3906i	0.128765	−	1.14338i
$351$	−3.22855	+	2.07486i	−0.172327	+	0.110748i
$352$	−1.18931	+	0.543141i	−0.0633906	+	0.0289495i
$353$	−3.14083	+	2.72154i	−0.167169	+	0.144853i	−0.734428	−	0.678687i	$-0.762549\pi$
$353$	−3.14083	+	2.72154i	−0.167169	+	0.144853i	0.567259	+	0.823540i	$0.308004\pi$
$354$	2.32097	+	16.1427i	0.123358	+	0.857976i
$355$	−12.0469	+	27.4862i	−0.639383	+	1.45882i
$356$	8.99088	−	2.63996i	0.476516	−	0.139918i
$357$	−10.6260	−	36.1887i	−0.562386	−	1.91531i
$358$	4.53023	+	2.06889i	0.239430	+	0.109344i
$359$	−1.18262	−	8.22530i	−0.0624162	−	0.434114i	−0.996937	−	0.0782064i	$-0.975081\pi$
$359$	−1.18262	−	8.22530i	−0.0624162	−	0.434114i	0.934521	−	0.355908i	$-0.115828\pi$
$360$	4.25439	−	3.80216i	0.224226	−	0.200391i
$361$	14.3288	+	31.3758i	0.754150	+	1.65136i
$362$	−3.98597	−	6.20229i	−0.209498	−	0.325985i
$363$	21.6676	+	3.11533i	1.13725	+	0.163513i
$364$	13.1592	+	8.45687i	0.689727	+	0.443261i
$365$	−23.3310	−	19.5985i	−1.22120	−	1.02583i
$366$	21.3353	+	6.26460i	1.11521	+	0.327456i
$367$		−	15.5128i		−	0.809762i	−0.914369	−	0.404881i	$-0.867313\pi$
$367$		−	15.5128i		−	0.809762i	0.914369	−	0.404881i	$-0.132687\pi$
$368$	−4.78597	+	0.307328i	−0.249486	+	0.0160206i
$369$	7.72680			0.402241
$370$	−12.5315	−	3.47187i	−0.651481	−	0.180494i
$371$	−15.1526	+	17.4870i	−0.786682	+	0.907879i
$372$	−6.01511	+	9.35969i	−0.311869	+	0.485277i
$373$	−20.7350	−	2.98124i	−1.07362	−	0.154363i	−0.417240	−	0.908797i	$-0.637002\pi$
$373$	−20.7350	−	2.98124i	−1.07362	−	0.154363i	−0.656376	+	0.754434i	$0.727912\pi$
$374$	4.08964	−	2.62825i	0.211470	−	0.135904i
$375$	−23.4343	+	12.0332i	−1.21014	+	0.621393i
$376$	3.55693	+	4.10491i	0.183434	+	0.211695i
$377$	−8.34530	+	1.19987i	−0.429805	+	0.0617966i
$378$	−4.13642	−	1.88904i	−0.212755	−	0.0971618i
$379$	21.4824	−	6.30779i	1.10347	−	0.324009i	0.321243	−	0.946997i	$-0.395899\pi$
$379$	21.4824	−	6.30779i	1.10347	−	0.324009i	0.782232	+	0.622987i	$0.214081\pi$
$380$	−15.6194	+	4.84750i	−0.801259	+	0.248672i
$381$	6.16992	−	13.5102i	0.316094	−	0.692150i
$382$	21.5161	−	3.09355i	1.10086	−	0.158280i
$383$	19.1353	−	16.5808i	0.977767	−	0.847240i	−0.0105049	−	0.999945i	$-0.503344\pi$
$383$	19.1353	−	16.5808i	0.977767	−	0.847240i	0.988272	+	0.152705i	$0.0487984\pi$
$384$	0.978804	+	2.14328i	0.0499494	+	0.109374i
$385$	6.96625	+	10.4829i	0.355033	+	0.534258i
$386$	0.635438	−	4.41957i	0.0323429	−	0.224950i
$387$	4.59197	−	7.14525i	0.233423	−	0.363213i
$388$	−3.68309	−	3.19141i	−0.186980	−	0.162019i
$389$	−21.7831	−	6.39609i	−1.10445	−	0.324295i	−0.321829	−	0.946798i	$-0.604298\pi$
$389$	−21.7831	−	6.39609i	−1.10445	−	0.324295i	−0.782617	+	0.622503i	$0.786116\pi$
$390$	−0.293391	−	19.1408i	−0.0148564	−	0.969230i
$391$	17.4513	−	3.66356i	0.882549	−	0.185274i
$392$			11.5344i			0.582577i
$393$	−5.37943	+	18.3207i	−0.271357	+	0.924156i
$394$	−5.93620	+	6.85075i	−0.299062	+	0.345136i
$395$	−31.3040	−	19.4464i	−1.57507	−	0.978457i
$396$	−0.474802	+	3.30232i	−0.0238597	+	0.165948i
$397$	0.988968	+	1.53886i	0.0496349	+	0.0772334i	0.865184	−	0.501454i	$-0.167201\pi$
$397$	0.988968	+	1.53886i	0.0496349	+	0.0772334i	−0.815549	+	0.578688i	$0.803565\pi$
$398$	−6.61718	+	3.02197i	−0.331689	+	0.151477i
$399$	−48.5847	−	56.0698i	−2.43228	−	2.80700i
$400$	−0.862925	−	4.92497i	−0.0431462	−	0.246249i
$401$	5.19147	−	11.3677i	0.259250	−	0.567678i	−0.734589	−	0.678512i	$-0.762625\pi$
$401$	5.19147	−	11.3677i	0.259250	−	0.567678i	0.993839	+	0.110834i	$0.0353523\pi$
$402$	−2.21655	−	7.54886i	−0.110551	−	0.376503i
$403$	4.83359	+	16.4617i	0.240778	+	0.820015i
$404$	−0.714080	+	1.56362i	−0.0355268	+	0.0777928i
$405$	3.57177	+	22.3995i	0.177483	+	1.11304i
$406$	−6.54202	−	7.54990i	−0.324675	−	0.374695i
$407$	6.91628	−	3.15856i	0.342827	−	0.156564i
$408$	−4.73643	−	7.37002i	−0.234488	−	0.364870i
$409$	4.19584	−	29.1827i	0.207471	−	1.44299i	−0.573900	−	0.818925i	$-0.694570\pi$
$409$	4.19584	−	29.1827i	0.207471	−	1.44299i	0.781371	−	0.624067i	$-0.214521\pi$
$410$	3.57295	−	5.75156i	0.176455	−	0.284049i
$411$	2.43231	−	2.80703i	0.119977	−	0.138461i
$412$	−3.10262	+	10.5665i	−0.152855	+	0.520576i
$413$			29.7986i			1.46629i
$414$	−5.94282	+	10.6977i	−0.292074	+	0.525765i
$415$	0.342986	+	22.3763i	0.0168365	+	1.09841i
$416$	3.48621	+	1.02364i	0.170925	+	0.0501882i
$417$	−13.9152	−	12.0576i	−0.681429	−	0.590462i
$418$	5.16996	−	8.04461i	0.252871	−	0.393475i
$419$	−2.35238	+	16.3612i	−0.114921	+	0.799295i	0.848094	+	0.529846i	$0.177750\pi$
$419$	−2.35238	+	16.3612i	−0.114921	+	0.799295i	−0.963015	+	0.269448i	$0.913159\pi$
$420$	18.8914	−	12.5540i	0.921807	−	0.612573i
$421$	9.69548	+	21.2301i	0.472529	+	1.03469i	0.984451	+	0.175662i	$0.0562065\pi$
$421$	9.69548	+	21.2301i	0.472529	+	1.03469i	−0.511922	+	0.859032i	$0.671066\pi$
$422$	−18.3638	+	15.9123i	−0.893934	+	0.774599i
$423$	13.7188	−	1.97246i	0.667028	−	0.0959042i
$424$	−2.23270	+	4.88892i	−0.108429	+	0.237427i
$425$	5.78188	+	17.6688i	0.280463	+	0.857065i
$426$	−30.3418	+	8.90916i	−1.47006	+	0.431650i
$427$	36.9571	+	16.8778i	1.78848	+	0.816772i
$428$	−15.5070	+	2.22956i	−0.749557	+	0.107770i
$429$	7.33000	+	8.45927i	0.353896	+	0.408418i
$430$	−3.19530	−	6.72214i	−0.154091	−	0.324170i
$431$	27.0328	−	17.3729i	1.30212	−	0.836824i	0.308681	−	0.951165i	$-0.400112\pi$
$431$	27.0328	−	17.3729i	1.30212	−	0.836824i	0.993441	+	0.114342i	$0.0364759\pi$
$432$	−1.04551	−	0.150321i	−0.0503019	−	0.00723232i
$433$	13.5295	−	21.0523i	0.650186	−	1.01171i	−0.347081	−	0.937835i	$-0.612827\pi$
$433$	13.5295	−	21.0523i	0.650186	−	1.01171i	0.997268	−	0.0738744i	$-0.0235364\pi$
$434$	−13.3125	+	15.3634i	−0.639020	+	0.737469i
$435$	−3.26418	+	11.7818i	−0.156505	+	0.564896i
$436$	14.6300			0.700648
$437$	28.2320	−	20.8156i	1.35052	−	0.995743i
$438$		−	32.1073i		−	1.53415i
$439$	−7.91152	−	2.32303i	−0.377596	−	0.110872i	0.0874266	−	0.996171i	$-0.472136\pi$
$439$	−7.91152	−	2.32303i	−0.377596	−	0.110872i	−0.465023	+	0.885299i	$0.653954\pi$
$440$	2.23858	+	1.88045i	0.106720	+	0.0896470i
$441$	24.7602	+	15.9124i	1.17906	+	0.757735i
$442$	−13.3720	−	1.92260i	−0.636042	−	0.0914490i
$443$	−17.1216	−	26.6417i	−0.813471	−	1.26579i	−0.960950	−	0.276720i	$-0.910752\pi$
$443$	−17.1216	−	26.6417i	−0.813471	−	1.26579i	0.147480	−	0.989065i	$-0.452884\pi$
$444$	−5.69210	−	12.4640i	−0.270135	−	0.591513i
$445$	−13.9624	−	15.6230i	−0.661879	−	0.740603i
$446$	2.77738	+	19.3171i	0.131513	+	0.914691i
$447$	30.3386	+	13.8552i	1.43497	+	0.655328i
$448$	1.21290	+	4.13077i	0.0573044	+	0.195161i
$449$	−3.89560	+	1.14385i	−0.183845	+	0.0539817i	−0.372359	−	0.928089i	$-0.621451\pi$
$449$	−3.89560	+	1.14385i	−0.183845	+	0.0539817i	0.188514	+	0.982070i	$0.439633\pi$
$450$	−11.7626	−	4.94191i	−0.554494	−	0.232964i
$451$	0.563440	+	3.91881i	0.0265314	+	0.184530i
$452$	6.50094	−	5.63310i	0.305779	−	0.264959i
$453$	18.5691	−	8.48022i	0.872452	−	0.398436i
$454$	5.66223	−	3.63889i	0.265741	−	0.170782i
$455$	4.44659	−	34.6935i	0.208459	−	1.62646i
$456$	−14.4973	−	9.31687i	−0.678900	−	0.436303i
$457$	15.0947	+	13.0796i	0.706098	+	0.611837i	0.932062	−	0.362298i	$-0.118008\pi$
$457$	15.0947	+	13.0796i	0.706098	+	0.611837i	−0.225964	+	0.974136i	$0.572553\pi$
$458$	5.44750	−	18.5525i	0.254545	−	0.866900i
$459$	3.92733			0.183312
$460$	5.21500	+	9.37036i	0.243151	+	0.436896i
$461$	15.9547			0.743085			0.371543	−	0.928416i	$-0.378829\pi$
$461$	15.9547			0.743085			0.371543	+	0.928416i	$0.378829\pi$
$462$	−3.73655	+	12.7255i	−0.173840	+	0.592044i
$463$	−12.2000	−	10.5713i	−0.566981	−	0.491292i	0.323552	−	0.946210i	$-0.395123\pi$
$463$	−12.2000	−	10.5713i	−0.566981	−	0.491292i	−0.890533	+	0.454918i	$0.849668\pi$
$464$	−1.95209	−	1.25453i	−0.0906236	−	0.0582403i
$465$	24.6764	+	3.16272i	1.14434	+	0.146667i
$466$	7.09317	−	4.55850i	0.328585	−	0.211169i
$467$	8.33114	−	3.80470i	0.385519	−	0.176061i	−0.213221	−	0.977004i	$-0.568395\pi$
$467$	8.33114	−	3.80470i	0.385519	−	0.176061i	0.598740	+	0.800943i	$0.295668\pi$
$468$	7.00682	−	6.07145i	0.323891	−	0.280653i
$469$	−2.04581	−	14.2289i	−0.0944669	−	0.657031i
$470$	4.87546	−	11.1238i	0.224888	−	0.513105i
$471$	32.7960	−	9.62976i	1.51116	−	0.443716i
$472$	1.95004	+	6.64123i	0.0897579	+	0.305687i
$473$	3.95872	+	1.80788i	0.182022	+	0.0831266i
$474$	−5.52643	−	38.4372i	−0.253838	−	1.76548i
$475$	24.7837	+	26.8903i	1.13715	+	1.23381i
$476$	−6.64967	−	14.5607i	−0.304787	−	0.667391i
$477$	7.41461	+	11.5374i	0.339491	+	0.528259i
$478$	18.7931	+	2.70204i	0.859575	+	0.123588i
$479$	4.67957	+	3.00738i	0.213815	+	0.137411i	0.643165	−	0.765728i	$-0.277621\pi$
$479$	4.67957	+	3.00738i	0.213815	+	0.137411i	−0.429350	+	0.903138i	$0.641257\pi$
$480$	3.38879	−	4.03418i	0.154677	−	0.184134i
$481$	−20.2736	−	5.95285i	−0.924395	−	0.271427i
$482$		−	3.80651i		−	0.173382i
$483$	−29.4363	+	38.7318i	−1.33940	+	1.76236i
$484$	9.29053			0.422297
$485$	−2.90951	+	10.5017i	−0.132114	+	0.476858i
$486$	−13.5768	+	15.6685i	−0.615857	+	0.710736i
$487$	−11.0677	+	17.2216i	−0.501524	+	0.780387i	−0.996052	−	0.0887749i	$-0.971705\pi$
$487$	−11.0677	+	17.2216i	−0.501524	+	0.780387i	0.494527	+	0.869162i	$0.335341\pi$
$488$	9.34114	+	1.34305i	0.422854	+	0.0607972i
$489$	−8.93174	+	5.74008i	−0.403907	+	0.259575i
$490$	23.2940	−	11.0726i	1.05232	−	0.500209i
$491$	0.351783	+	0.405979i	0.0158757	+	0.0183216i	0.763632	−	0.645652i	$-0.223414\pi$
$491$	0.351783	+	0.405979i	0.0158757	+	0.0183216i	−0.747756	+	0.663973i	$0.768869\pi$
$492$	7.06217	−	1.01539i	0.318387	−	0.0457772i
$493$	7.84815	+	3.58413i	0.353463	+	0.161421i
$494$	−25.4977	+	7.48680i	−1.14720	+	0.336847i
$495$	7.12490	−	2.21122i	0.320240	−	0.0993871i
$496$	−1.96157	+	4.29523i	−0.0880770	+	0.192862i
$497$	−57.1916	+	8.22291i	−2.56539	+	0.368848i
$498$	−17.8216	+	15.4425i	−0.798605	+	0.691995i
$499$	17.2264	+	37.7205i	0.771159	+	1.68860i	0.724084	+	0.689712i	$0.242263\pi$
$499$	17.2264	+	37.7205i	0.771159	+	1.68860i	0.0470757	+	0.998891i	$0.485010\pi$
$500$	−9.11773	+	6.47048i	−0.407757	+	0.289369i
$501$	0.306996	−	2.13520i	0.0137156	−	0.0953938i
$502$	−13.2155	+	20.5638i	−0.589838	+	0.917806i
$503$	−0.480592	−	0.416436i	−0.0214286	−	0.0185680i	0.644081	−	0.764958i	$-0.277240\pi$
$503$	−0.480592	−	0.416436i	−0.0214286	−	0.0185680i	−0.665509	+	0.746390i	$0.731786\pi$
$504$	10.5405	+	3.09498i	0.469513	+	0.137862i
$505$	3.84325	−	0.0589096i	0.171022	−	0.00262144i
$506$	−5.85894	−	2.23395i	−0.260462	−	0.0993111i
$507$		−	0.474753i		−	0.0210845i
$508$	1.77591	−	6.04819i	0.0787932	−	0.268345i
$509$	16.2298	−	18.7302i	0.719374	−	0.830202i	−0.271857	−	0.962338i	$-0.587638\pi$
$509$	16.2298	−	18.7302i	0.719374	−	0.830202i	0.991232	+	0.132135i	$0.0421833\pi$
$510$	−10.3371	+	16.6403i	−0.457737	+	0.736843i
$511$	8.34892	−	58.0680i	0.369335	−	2.56878i
$512$	0.540641	+	0.841254i	0.0238932	+	0.0371785i
$513$	7.02721	−	3.20922i	0.310259	−	0.141691i
$514$	15.7401	+	18.1651i	0.694266	+	0.801226i
$515$	24.3178	−	3.87766i	1.07157	−	0.170870i
$516$	3.25802	−	7.13408i	0.143426	−	0.314060i
$517$	2.00075	+	6.81393i	0.0879929	+	0.299676i
$518$	−7.05348	−	24.0219i	−0.309912	−	1.05546i
$519$	−12.8914	+	28.2282i	−0.565868	+	1.23908i
$520$	−1.27935	−	8.02314i	−0.0561033	−	0.351838i
$521$	1.29908	+	1.49922i	0.0569139	+	0.0656822i	0.783493	−	0.621401i	$-0.213436\pi$
$521$	1.29908	+	1.49922i	0.0569139	+	0.0656822i	−0.726579	+	0.687083i	$0.758891\pi$
$522$	−5.38606	+	2.45973i	−0.235741	+	0.107659i
$523$	−9.00256	−	14.0083i	−0.393655	−	0.612539i	0.586695	−	0.809808i	$-0.300429\pi$
$523$	−9.00256	−	14.0083i	−0.393655	−	0.612539i	−0.980349	+	0.197270i	$0.936793\pi$
$524$	−1.15328	+	8.02127i	−0.0503814	+	0.350411i
$525$	−43.4882	−	26.1003i	−1.89798	−	1.13911i
$526$	6.29994	−	7.27052i	0.274691	−	0.317010i
$527$	4.94637	−	16.8458i	0.215467	−	0.733814i
$528$			3.08066i			0.134068i
$529$	−17.1613	−	15.3131i	−0.746144	−	0.665785i
$530$	12.0166	−	0.184191i	0.521967	−	0.00800076i
$531$	16.9465	+	4.97594i	0.735416	+	0.215938i
$532$	−23.7966	−	20.6199i	−1.03171	−	0.893986i
$533$	5.94823	−	9.25563i	0.257647	−	0.400906i
$534$	3.14213	−	21.8540i	0.135973	−	0.945715i
$535$	19.3887	+	29.1764i	0.838247	+	1.26140i
$536$	−1.38710	−	3.03733i	−0.0599137	−	0.131193i
$537$	8.86841	−	7.68452i	0.382700	−	0.331612i
$538$	−5.15039	+	0.740515i	−0.222049	+	0.0319259i
$539$	−6.26482	+	13.7180i	−0.269845	+	0.590878i
$540$	0.700067	+	2.25573i	0.0301261	+	0.0970710i
$541$	−2.00667	+	0.589211i	−0.0862734	+	0.0253322i	−0.324584	−	0.945857i	$-0.605224\pi$
$541$	−2.00667	+	0.589211i	−0.0862734	+	0.0253322i	0.238311	+	0.971189i	$0.423406\pi$
$542$	−4.89068	−	2.23350i	−0.210073	−	0.0959369i
$543$	−17.1948	+	2.47223i	−0.737897	+	0.106094i
$544$	−2.43488	−	2.81000i	−0.104395	−	0.120478i
$545$	−14.0442	−	29.5455i	−0.601587	−	1.26559i
$546$	31.0057	−	19.9262i	1.32692	−	0.852761i
$547$	−14.2854	−	2.05393i	−0.610800	−	0.0878198i	−0.170029	−	0.985439i	$-0.554386\pi$
$547$	−14.2854	−	2.05393i	−0.610800	−	0.0878198i	−0.440772	+	0.897619i	$0.645295\pi$
$548$	0.852246	−	1.32612i	0.0364062	−	0.0566491i
$549$	15.7697	−	18.1992i	0.673035	−	0.776724i
$550$	1.64867	−	6.32602i	0.0702994	−	0.269742i
$551$	16.9715			0.723012
$552$	−4.02584	+	10.5585i	−0.171351	+	0.449400i
$553$		−	70.9530i		−	3.01723i
$554$	−7.73763	−	2.27197i	−0.328740	−	0.0965269i
$555$	−19.7071	+	23.4602i	−0.836518	+	0.995832i
$556$	−6.57392	−	4.22480i	−0.278796	−	0.179171i
$557$	−37.5963	−	5.40552i	−1.59300	−	0.229039i	−0.712011	−	0.702168i	$-0.752215\pi$
$557$	−37.5963	−	5.40552i	−1.59300	−	0.229039i	−0.880993	+	0.473129i	$0.843125\pi$
$558$	6.51421	+	10.1363i	0.275768	+	0.429104i
$559$	−5.02403	−	11.0011i	−0.212494	−	0.465296i
$560$	7.17785	−	6.41487i	0.303320	−	0.271078i
$561$	−1.63013	−	11.3378i	−0.0688241	−	0.478682i
$562$	5.41959	+	2.47504i	0.228611	+	0.104403i
$563$	4.20900	+	14.3345i	0.177388	+	0.604129i	0.999399	+	0.0346574i	$0.0110340\pi$
$563$	4.20900	+	14.3345i	0.177388	+	0.604129i	−0.822011	+	0.569472i	$0.807148\pi$
$564$	12.2795	−	3.60559i	0.517061	−	0.151823i
$565$	−17.6168	−	7.72125i	−0.741146	−	0.324836i
$566$	4.62172	+	32.1448i	0.194265	+	1.35114i
$567$	−33.0044	+	28.5985i	−1.38606	+	1.20102i
$568$	−12.2082	+	5.57530i	−0.512245	+	0.233934i
$569$	0.151187	−	0.0971618i	0.00633808	−	0.00407324i	−0.537468	−	0.843284i	$-0.680619\pi$
$569$	0.151187	−	0.0971618i	0.00633808	−	0.00407324i	0.543806	+	0.839211i	$0.316983\pi$
$570$	−4.89877	+	38.2215i	−0.205187	+	1.60092i
$571$	20.3199	+	13.0588i	0.850360	+	0.546493i	0.891687	−	0.452652i	$-0.149522\pi$
$571$	20.3199	+	13.0588i	0.850360	+	0.546493i	−0.0413268	+	0.999146i	$0.513158\pi$
$572$	3.59021	+	3.11093i	0.150114	+	0.130075i
$573$	14.4297	−	49.1431i	0.602810	−	2.05298i
$574$	13.0364			0.544128
$575$	13.9175	−	19.5270i	0.580399	−	0.814332i
$576$	2.55171			0.106321
$577$	1.77803	−	6.05543i	0.0740205	−	0.252091i	−0.914168	−	0.405336i	$-0.867154\pi$
$577$	1.77803	−	6.05543i	0.0740205	−	0.252091i	0.988188	+	0.153246i	$0.0489726\pi$
$578$	−2.39971	−	2.07936i	−0.0998147	−	0.0864900i
$579$	−8.85041	−	5.68781i	−0.367810	−	0.236377i
$580$	−0.659628	+	5.14660i	−0.0273896	+	0.213701i
$581$	−36.2470	+	23.2945i	−1.50378	+	0.966419i
$582$	−10.4451	+	4.77012i	−0.432964	+	0.197728i
$583$	−5.31074	+	4.60179i	−0.219949	+	0.190587i
$584$	−1.93928	−	13.4880i	−0.0802480	−	0.558137i
$585$	−18.9877	−	8.32210i	−0.785045	−	0.344076i
$586$	−12.0976	+	3.55219i	−0.499749	+	0.146740i
$587$	−4.05904	−	13.8238i	−0.167534	−	0.570570i	−0.999867	−	0.0162937i	$-0.994813\pi$
$587$	−4.05904	−	13.8238i	−0.167534	−	0.570570i	0.832333	−	0.554276i	$-0.187005\pi$
$588$	24.7215	+	11.2899i	1.01950	+	0.465589i
$589$	−4.91495	−	34.1842i	−0.202517	−	1.40854i
$590$	11.5402	−	10.3135i	0.475100	−	0.424599i
$591$	8.87270	+	19.4285i	0.364974	+	0.799181i
$592$	−3.14402	−	4.89219i	−0.129218	−	0.201068i
$593$	7.88791	+	1.13411i	0.323918	+	0.0465723i	0.302356	−	0.953195i	$-0.402227\pi$
$593$	7.88791	+	1.13411i	0.323918	+	0.0465723i	0.0215620	+	0.999768i	$0.493136\pi$
$594$	−1.16179	−	0.746635i	−0.0476687	−	0.0306348i
$595$	−23.0223	+	27.4069i	−0.943824	+	1.12357i
$596$	13.5818	+	3.98799i	0.556334	+	0.163354i
$597$			17.1404i			0.701510i
$598$	8.23951	+	15.3540i	0.336938	+	0.627871i
$599$	−15.3525			−0.627284			−0.313642	−	0.949541i	$-0.601549\pi$
$599$	−15.3525			−0.627284			−0.313642	+	0.949541i	$0.601549\pi$
$600$	−11.4002	−	2.97109i	−0.465413	−	0.121294i
$601$	−5.83980	+	6.73949i	−0.238210	+	0.274909i	−0.862250	−	0.506484i	$-0.830945\pi$
$601$	−5.83980	+	6.73949i	−0.238210	+	0.274909i	0.624039	+	0.781393i	$0.285491\pi$
$602$	7.74742	−	12.0552i	0.315761	−	0.491334i
$603$	−8.43364	−	1.21257i	−0.343444	−	0.0493798i
$604$	7.28851	−	4.68404i	0.296565	−	0.190591i
$605$	−8.91855	−	18.7625i	−0.362591	−	0.762802i
$606$	2.65233	+	3.06095i	0.107743	+	0.124342i
$607$	−14.0371	+	2.01823i	−0.569747	+	0.0819173i	−0.421167	−	0.906983i	$-0.638379\pi$
$607$	−14.0371	+	2.01823i	−0.569747	+	0.0819173i	−0.148580	+	0.988900i	$0.547470\pi$
$608$	−6.65294	−	3.03830i	−0.269812	−	0.123219i
$609$	−22.5849	+	6.63153i	−0.915187	+	0.268723i
$610$	−6.25480	−	20.1539i	−0.253249	−	0.816009i
$611$	8.19822	−	17.9516i	0.331664	−	0.726244i
$612$	−9.39111	+	1.35024i	−0.379613	+	0.0545801i
$613$	−26.0901	+	22.6072i	−1.05377	+	0.913097i	−0.996359	−	0.0852535i	$-0.972830\pi$
$613$	−26.0901	+	22.6072i	−1.05377	+	0.913097i	−0.0574110	+	0.998351i	$0.518285\pi$
$614$	5.10847	+	11.1860i	0.206161	+	0.451430i
$615$	−8.83000	−	13.2875i	−0.356060	−	0.535803i
$616$	−0.801069	+	5.57156i	−0.0322760	+	0.224484i
$617$	6.79302	−	10.5702i	0.273477	−	0.425538i	−0.677164	−	0.735832i	$-0.736791\pi$
$617$	6.79302	−	10.5702i	0.273477	−	0.425538i	0.950641	+	0.310294i	$0.100428\pi$
$618$	19.6102	+	16.9924i	0.788839	+	0.683533i
$619$	−3.16054	−	0.928018i	−0.127033	−	0.0373002i	0.217598	−	0.976038i	$-0.430178\pi$
$619$	−3.16054	−	0.928018i	−0.127033	−	0.0373002i	−0.344631	+	0.938738i	$0.611996\pi$
$620$	10.5574	−	0.161824i	0.423993	−	0.00649900i
$621$	−3.00614	−	4.07722i	−0.120632	−	0.163613i
$622$			33.1190i			1.32795i
$623$	11.3655	−	38.7072i	0.455348	−	1.55077i
$624$	5.60627	−	6.46998i	0.224430	−	0.259006i
$625$	21.8199	+	12.2021i	0.872798	+	0.488082i
$626$	1.01401	−	7.05257i	0.0405279	−	0.281877i
$627$	−12.1815	−	18.9548i	−0.486482	−	0.756980i
$628$	13.1956	−	6.02625i	0.526564	−	0.240474i
$629$	14.1597	+	16.3412i	0.564584	+	0.651565i
$630$	−3.86812	−	24.2580i	−0.154110	−	0.966460i
$631$	9.64305	−	21.1153i	0.383884	−	0.840588i	−0.614770	−	0.788707i	$-0.710751\pi$
$631$	9.64305	−	21.1153i	0.383884	−	0.840588i	0.998653	−	0.0518813i	$-0.0165218\pi$
$632$	−4.64321	−	15.8133i	−0.184697	−	0.629020i
$633$	16.1300	+	54.9338i	0.641110	+	2.18342i
$634$	2.94999	−	6.45957i	0.117159	−	0.256542i
$635$	−13.9193	+	2.21953i	−0.552369	+	0.0880795i
$636$	8.29296	+	9.57059i	0.328837	+	0.379499i
$637$	38.1218	−	17.4096i	1.51044	−	0.689795i
$638$	−1.64026	−	2.55229i	−0.0649385	−	0.101046i
$639$	−4.87380	+	33.8980i	−0.192805	+	1.34099i
$640$	1.17994	−	1.89941i	0.0466411	−	0.0750807i
$641$	−22.3432	+	25.7854i	−0.882502	+	1.01846i	0.117177	+	0.993111i	$0.462616\pi$
$641$	−22.3432	+	25.7854i	−0.882502	+	1.01846i	−0.999679	+	0.0253502i	$0.991930\pi$
$642$	−10.3997	+	35.4181i	−0.410443	+	1.39784i
$643$			7.69594i			0.303498i	0.988419	+	0.151749i	$0.0484906\pi$
$643$			7.69594i			0.303498i	−0.988419	+	0.151749i	$0.951509\pi$
$644$	−10.0265	+	18.0488i	−0.395100	+	0.711224i
$645$	−17.5350	+	0.268778i	−0.690440	+	0.0105831i
$646$	26.0926	+	7.66149i	1.02660	+	0.301437i
$647$	30.0732	+	26.0586i	1.18230	+	1.02447i	0.999143	+	0.0413863i	$0.0131774\pi$
$647$	30.0732	+	26.0586i	1.18230	+	1.02447i	0.183158	+	0.983083i	$0.441368\pi$
$648$	−5.48421	+	8.53359i	−0.215440	+	0.335231i
$649$	−1.28791	+	8.95764i	−0.0505550	+	0.351618i
$650$	−14.9748	+	10.2856i	−0.587359	+	0.403433i
$651$	19.8979	+	43.5702i	0.779858	+	1.70765i
$652$	−3.40544	+	2.95083i	−0.133367	+	0.115564i
$653$	36.5403	−	5.25370i	1.42993	−	0.205593i	0.616546	−	0.787319i	$-0.288531\pi$
$653$	36.5403	−	5.25370i	1.42993	−	0.205593i	0.813385	+	0.581726i	$0.197622\pi$
$654$	14.3199	−	31.3561i	0.559951	−	1.22612i
$655$	17.3062	−	5.37102i	0.676211	−	0.209863i
$656$	2.90542	−	0.853109i	0.113438	−	0.0333083i
$657$	−31.6292	−	14.4446i	−1.23397	−	0.563536i
$658$	23.1458	−	3.32786i	0.902317	−	0.129734i
$659$	6.85473	+	7.91078i	0.267022	+	0.308160i	0.873387	−	0.487026i	$-0.161918\pi$
$659$	6.85473	+	7.91078i	0.267022	+	0.308160i	−0.606365	+	0.795186i	$0.707373\pi$
$660$	6.22146	−	2.95731i	0.242170	−	0.115113i
$661$	−28.4342	+	18.2736i	−1.10596	+	0.710759i	−0.960410	−	0.278591i	$-0.910133\pi$
$661$	−28.4342	+	18.2736i	−1.10596	+	0.710759i	−0.145553	+	0.989350i	$0.546496\pi$
$662$	24.4768	+	3.51924i	0.951320	+	0.136779i
$663$	−17.2093	+	26.7781i	−0.668352	+	1.03998i
$664$	−6.55397	+	7.56368i	−0.254343	+	0.293528i
$665$	−18.7985	+	67.8521i	−0.728976	+	2.63119i
$666$	−14.8391			−0.575005
$667$	−2.28638	−	10.8911i	−0.0885290	−	0.421706i
$668$		−	0.915522i		−	0.0354226i
$669$	44.1205	+	12.9549i	1.70580	+	0.500867i
$670$	−4.80239	+	5.71700i	−0.185533	+	0.220867i
$671$	10.3801	+	6.67086i	0.400718	+	0.257526i
$672$	10.0406	+	1.44362i	0.387325	+	0.0556889i
$673$	4.46751	+	6.95158i	0.172210	+	0.267964i	0.916621	−	0.399758i	$-0.130906\pi$
$673$	4.46751	+	6.95158i	0.172210	+	0.267964i	−0.744411	+	0.667722i	$0.767270\pi$
$674$	−4.93504	−	10.8062i	−0.190091	−	0.416240i
$675$	3.88345	−	3.57921i	0.149474	−	0.137764i
$676$	−0.0286751	−	0.199440i	−0.00110289	−	0.00767075i
$677$	31.2828	+	14.2864i	1.20229	+	0.549069i	0.912917	−	0.408146i	$-0.133825\pi$
$677$	31.2828	+	14.2864i	1.20229	+	0.549069i	0.289377	+	0.957215i	$0.406552\pi$
$678$	−5.71017	−	19.4471i	−0.219298	−	0.746860i
$679$	−20.1310	+	5.91099i	−0.772557	+	0.226843i
$680$	−3.33747	+	7.61478i	−0.127986	+	0.292014i
$681$	−2.25696	−	15.6975i	−0.0864869	−	0.601530i
$682$	−4.66583	+	4.04297i	−0.178664	+	0.154813i
$683$	−39.6005	+	18.0849i	−1.51527	+	0.692001i	−0.987534	−	0.157407i	$-0.949687\pi$
$683$	−39.6005	+	18.0849i	−1.51527	+	0.692001i	−0.527737	+	0.849408i	$0.676959\pi$
$684$	−15.7002	+	10.0899i	−0.600314	+	0.385798i
$685$	−3.49626	−	0.448107i	−0.133585	−	0.0171213i
$686$	16.4225	+	10.5541i	0.627013	+	0.402957i
$687$	−34.4311	−	29.8348i	−1.31363	−	1.13827i
$688$	0.937768	−	3.19374i	0.0357521	−	0.121760i
$689$	19.5280			0.743959
$690$	25.1878	−	2.00547i	0.958883	−	0.0763470i
$691$	1.04412			0.0397203			0.0198602	−	0.999803i	$-0.493678\pi$
$691$	1.04412			0.0397203			0.0198602	+	0.999803i	$0.493678\pi$
$692$	−3.71057	+	12.6370i	−0.141055	+	0.480388i
$693$	10.8550	+	9.40590i	0.412347	+	0.357301i
$694$	−6.84231	−	4.39729i	−0.259731	−	0.166919i
$695$	−2.22138	+	17.3318i	−0.0842618	+	0.657434i
$696$	−4.59953	+	2.95594i	−0.174345	+	0.112045i
$697$	−10.2415	+	4.67712i	−0.387923	+	0.177158i
$698$	−0.915696	+	0.793455i	−0.0346596	+	0.0300327i
$699$	−2.82734	−	19.6645i	−0.106940	−	0.743781i
$700$	−19.8454	−	8.33782i	−0.750087	−	0.315140i
$701$	37.4233	−	10.9885i	1.41346	−	0.415029i	0.516175	−	0.856483i	$-0.327355\pi$
$701$	37.4233	−	10.9885i	1.41346	−	0.415029i	0.897284	+	0.441454i	$0.145537\pi$
$702$	1.08123	+	3.68233i	0.0408084	+	0.138981i
$703$	38.6892	+	17.6688i	1.45919	+	0.666391i
$704$	0.186072	+	1.29416i	0.00701284	+	0.0487754i
$705$	−19.0694	−	21.3375i	−0.718196	−	0.803618i
$706$	1.72643	+	3.78035i	0.0649749	+	0.142275i
$707$	4.00095	+	6.22560i	0.150471	+	0.234138i
$708$	16.1427	+	2.32097i	0.606681	+	0.0872275i
$709$	11.9207	+	7.66098i	0.447692	+	0.287714i	0.744996	−	0.667069i	$-0.232451\pi$
$709$	11.9207	+	7.66098i	0.447692	+	0.287714i	−0.297304	+	0.954783i	$0.596088\pi$
$710$	22.9788	+	19.3027i	0.862381	+	0.724417i
$711$	−40.3511	−	11.8481i	−1.51328	−	0.444340i
$712$		−	9.37045i		−	0.351173i
$713$	−21.2748	+	7.75931i	−0.796749	+	0.290588i
$714$	−37.7165			−1.41150
$715$	2.83614	−	10.2369i	0.106066	−	0.382838i
$716$	3.26140	−	3.76385i	0.121884	−	0.140662i
$717$	24.1859	−	37.6341i	0.903241	−	1.40547i
$718$	−8.22530	−	1.18262i	−0.306965	−	0.0441349i
$719$	−2.77391	+	1.78269i	−0.103449	+	0.0664829i	−0.591343	−	0.806420i	$-0.701402\pi$
$719$	−2.77391	+	1.78269i	−0.103449	+	0.0664829i	0.487893	+	0.872903i	$0.337766\pi$
$720$	−2.44954	−	5.15324i	−0.0912891	−	0.192050i
$721$	31.0477	+	35.8310i	1.15628	+	1.33442i
$722$	34.1417	−	4.90884i	1.27062	−	0.182688i
$723$	−8.15843	−	3.72583i	−0.303415	−	0.138565i
$724$	−7.07404	+	2.07712i	−0.262905	+	0.0771957i
$725$	11.0269	−	3.60840i	0.409529	−	0.134013i
$726$	9.09361	−	19.9122i	0.337496	−	0.739012i
$727$	18.0406	−	2.59385i	0.669090	−	0.0962007i	0.200605	−	0.979672i	$-0.435709\pi$
$727$	18.0406	−	2.59385i	0.669090	−	0.0962007i	0.468485	+	0.883471i	$0.344800\pi$
$728$	11.8217	−	10.2435i	0.438140	−	0.379651i
$729$	7.65113	+	16.7536i	0.283375	+	0.620505i
$730$	−25.3777	+	16.8644i	−0.939271	+	0.624178i
$731$	−1.76131	+	12.2502i	−0.0651446	+	0.453090i
$732$	12.0217	−	18.7061i	0.444334	−	0.691398i
$733$	−31.1915	−	27.0276i	−1.15209	−	0.998288i	−0.999951	−	0.00992778i	$-0.996840\pi$
$733$	−31.1915	−	27.0276i	−1.15209	−	0.998288i	−0.152135	−	0.988360i	$-0.548615\pi$
$734$	−14.8844	−	4.37046i	−0.549394	−	0.161317i
$735$	−0.931389	−	60.7636i	−0.0343548	−	2.24130i
$736$	−1.05349	+	4.67869i	−0.0388320	+	0.172459i
$737$		−	4.36572i		−	0.160814i
$738$	2.17689	−	7.41381i	0.0801324	−	0.272906i
$739$	23.0074	−	26.5519i	0.846340	−	0.976729i	−0.153595	−	0.988134i	$-0.549085\pi$
$739$	23.0074	−	26.5519i	0.846340	−	0.976729i	0.999935	+	0.0114050i	$0.00363042\pi$
$740$	−6.86176	+	11.0457i	−0.252243	+	0.406049i
$741$	−8.91093	+	61.9769i	−0.327351	+	2.27678i
$742$	12.5097	+	19.4654i	0.459244	+	0.714598i
$743$	−25.3254	+	11.5657i	−0.929099	+	0.424305i	−0.821706	−	0.569911i	$-0.806978\pi$
$743$	−25.3254	+	11.5657i	−0.929099	+	0.424305i	−0.107393	+	0.994217i	$0.534250\pi$
$744$	7.28590	+	8.40838i	0.267114	+	0.308266i
$745$	−4.98420	−	31.2572i	−0.182607	−	1.14517i
$746$	−8.70219	+	19.0551i	−0.318610	+	0.697658i
$747$	7.19489	+	24.5035i	0.263247	+	0.896538i
$748$	−1.36961	−	4.66445i	−0.0500777	−	0.170549i
$749$	−28.0183	+	61.3515i	−1.02377	+	2.24173i
$750$	4.94359	+	25.8752i	0.180514	+	0.944828i
$751$	−21.3265	−	24.6121i	−0.778217	−	0.898110i	0.218763	−	0.975778i	$-0.429798\pi$
$751$	−21.3265	−	24.6121i	−0.778217	−	0.898110i	−0.996979	+	0.0776683i	$0.975252\pi$
$752$	4.94074	−	2.25636i	0.180170	−	0.0822809i
$753$	31.1385	+	48.4525i	1.13475	+	1.76571i
$754$	−1.19987	+	8.34530i	−0.0436968	+	0.303918i
$755$	−16.4562	−	10.2228i	−0.598903	−	0.372046i
$756$	−2.97789	+	3.43666i	−0.108305	+	0.124990i
$757$	−1.36271	+	4.64095i	−0.0495284	+	0.168678i	−0.980543	−	0.196303i	$-0.937106\pi$
$757$	−1.36271	+	4.64095i	−0.0495284	+	0.168678i	0.931015	+	0.364981i	$0.118925\pi$
$758$		−	22.3893i		−	0.813215i
$759$	−10.5227	+	10.3708i	−0.381951	+	0.376435i
$760$	0.250651	+	16.3524i	0.00909207	+	0.593164i
$761$	17.0170	+	4.99666i	0.616867	+	0.181129i	0.575213	−	0.818003i	$-0.304919\pi$
$761$	17.0170	+	4.99666i	0.616867	+	0.181129i	0.0416541	+	0.999132i	$0.486737\pi$
$762$	−11.2247	−	9.72626i	−0.406628	−	0.352345i
$763$	34.0519	−	52.9858i	1.23276	−	1.91822i
$764$	3.09355	−	21.5161i	0.111921	−	0.778426i
$765$	11.7419	+	17.6694i	0.424531	+	0.638838i
$766$	−10.5181	−	23.0315i	−0.380036	−	0.832163i
$767$	19.0062	−	16.4690i	0.686275	−	0.594661i
$768$	2.33222	−	0.335323i	0.0841569	−	0.0120999i
$769$	−1.07223	+	2.34787i	−0.0386658	+	0.0846662i	−0.927979	−	0.372632i	$-0.878455\pi$
$769$	−1.07223	+	2.34787i	−0.0386658	+	0.0846662i	0.889314	+	0.457298i	$0.151183\pi$
$770$	12.0209	−	3.73070i	0.433203	−	0.134445i
$771$	54.3393	−	15.9555i	1.95698	−	0.574622i
$772$	−4.06152	−	1.85483i	−0.146177	−	0.0667569i
$773$	0.383553	−	0.0551466i	0.0137954	−	0.00198349i	−0.135414	−	0.990789i	$-0.543236\pi$
$773$	0.383553	−	0.0551466i	0.0137954	−	0.00198349i	0.149209	+	0.988806i	$0.452327\pi$
$774$	−5.56211	−	6.41901i	−0.199926	−	0.230727i
$775$	−10.4614	−	21.1655i	−0.375786	−	0.760286i
$776$	−4.09978	+	2.63477i	−0.147174	+	0.0945827i
$777$	−58.3898	−	8.39518i	−2.09472	−	0.301175i
$778$	−12.2740	+	19.0987i	−0.440045	+	0.684723i
$779$	−14.5032	+	16.7376i	−0.519632	+	0.599687i
$780$	−18.4481	−	5.11107i	−0.660547	−	0.183006i
$781$	−17.5475			−0.627900
$782$	1.40143	−	17.7765i	0.0501151	−	0.635687i
$783$		−	2.45100i		−	0.0875915i
$784$	11.0672	+	3.24962i	0.395257	+	0.116058i
$785$	−24.8375	−	20.8640i	−0.886487	−	0.744666i
$786$	16.0630	+	10.3231i	0.572948	+	0.368211i
$787$	17.4770	+	2.51282i	0.622990	+	0.0895724i	0.446579	−	0.894744i	$-0.352642\pi$
$787$	17.4770	+	2.51282i	0.622990	+	0.0895724i	0.176411	+	0.984317i	$0.443551\pi$
$788$	4.90082	+	7.62582i	0.174584	+	0.271659i
$789$	−9.41637	−	20.6190i	−0.335232	−	0.734055i
$790$	−27.4781	+	24.5572i	−0.977626	+	0.873707i
$791$	−5.27034	−	36.6560i	−0.187392	−	1.30334i
$792$	3.03478	+	1.38594i	0.107836	+	0.0492472i
$793$	−9.66032	−	32.9000i	−0.343048	−	1.16831i
$794$	1.75515	−	0.515360i	0.0622881	−	0.0182894i
$795$	11.3671	−	25.9352i	0.403150	−	0.919828i
$796$	1.03528	+	7.20053i	0.0366945	+	0.255216i
$797$	−10.5883	+	9.17482i	−0.375057	+	0.324989i	−0.821909	−	0.569619i	$-0.807091\pi$
$797$	−10.5883	+	9.17482i	−0.375057	+	0.324989i	0.446852	+	0.894608i	$0.352545\pi$
$798$	−67.4865	+	30.8200i	−2.38899	+	1.09102i
$799$	−16.9895	+	10.9185i	−0.601046	+	0.386269i
$800$	−4.96859	−	0.559555i	−0.175666	−	0.0197833i
$801$	−20.1150	−	12.9271i	−0.710727	−	0.456757i
$802$	−9.44466	−	8.18384i	−0.333503	−	0.288982i
$803$	5.01947	−	17.0947i	0.177133	−	0.603260i
$804$	−7.86755			−0.277467
$805$	46.0751	+	2.92261i	1.62393	+	0.103008i
$806$	17.1566			0.604317
$807$	−3.45409	+	11.7636i	−0.121590	+	0.414097i
$808$	1.29910	+	1.12568i	0.0457022	+	0.0396011i
$809$	−41.8410	−	26.8896i	−1.47105	−	0.945387i	−0.997925	−	0.0643932i	$-0.979489\pi$
$809$	−41.8410	−	26.8896i	−1.47105	−	0.945387i	−0.473127	−	0.880994i	$-0.656875\pi$
$810$	22.4984	+	2.88357i	0.790514	+	0.101318i
$811$	36.5719	−	23.5033i	1.28421	−	0.825314i	0.292812	−	0.956170i	$-0.405409\pi$
$811$	36.5719	−	23.5033i	1.28421	−	0.825314i	0.991401	+	0.130856i	$0.0417726\pi$
$812$	−9.08717	+	4.14997i	−0.318897	+	0.145636i
$813$	−9.57403	+	8.29594i	−0.335776	+	0.290951i
$814$	−1.08207	−	7.52599i	−0.0379267	−	0.263786i
$815$	9.22837	+	4.04469i	0.323256	+	0.141679i
$816$	−8.40589	+	2.46819i	−0.294265	+	0.0864040i
$817$	6.85872	+	23.3587i	0.239956	+	0.817216i
$818$	−26.8185	−	12.2476i	−0.937687	−	0.428227i
$819$	−5.68045	−	39.5084i	−0.198491	−	1.38054i
$820$	−4.51197	−	5.04862i	−0.157565	−	0.176305i
$821$	−2.50208	−	5.47880i	−0.0873233	−	0.191211i	0.860932	−	0.508720i	$-0.169881\pi$
$821$	−2.50208	−	5.47880i	−0.0873233	−	0.191211i	−0.948255	+	0.317508i	$0.897154\pi$
$822$	−2.00807	−	3.12462i	−0.0700394	−	0.108984i
$823$	−52.1911	−	7.50394i	−1.81927	−	0.261571i	−0.853520	−	0.521059i	$-0.825537\pi$
$823$	−52.1911	−	7.50394i	−1.81927	−	0.261571i	−0.965746	+	0.259488i	$0.916446\pi$
$824$	9.26442	+	5.95388i	0.322741	+	0.207413i
$825$	−11.9447	−	9.72549i	−0.415862	−	0.338598i
$826$	28.5916	+	8.39524i	0.994828	+	0.292108i
$827$		−	39.8788i		−	1.38672i	−0.720590	−	0.693361i	$-0.756129\pi$
$827$		−	39.8788i		−	1.38672i	0.720590	−	0.693361i	$-0.243871\pi$
$828$	8.59011	+	8.71599i	0.298527	+	0.302902i
$829$	21.5781			0.749438			0.374719	−	0.927138i	$-0.377739\pi$
$829$	21.5781			0.749438			0.374719	+	0.927138i	$0.377739\pi$
$830$	21.5666	+	5.97505i	0.748587	+	0.207397i
$831$	−12.4431	+	14.3601i	−0.431646	+	0.498146i
$832$	1.96436	−	3.05660i	0.0681018	−	0.105968i
$833$	−42.4503	−	6.10344i	−1.47082	−	0.211472i
$834$	−15.4895	+	9.95451i	−0.536358	+	0.344696i
$835$	−1.84892	+	0.878865i	−0.0639844	+	0.0304144i
$836$	−6.26220	−	7.22696i	−0.216583	−	0.249950i
$837$	−4.93682	+	0.709808i	−0.170641	+	0.0245345i
$838$	15.0357	+	6.86656i	0.519399	+	0.237201i
$839$	20.0280	−	5.88076i	0.691444	−	0.203026i	0.0829137	−	0.996557i	$-0.473577\pi$
$839$	20.0280	−	5.88076i	0.691444	−	0.203026i	0.608531	+	0.793530i	$0.291759\pi$
$840$	−6.72316	−	21.6631i	−0.231971	−	0.747447i
$841$	−9.81022	+	21.4814i	−0.338284	+	0.740738i
$842$	23.1017	−	3.32152i	0.796138	−	0.114467i
$843$	10.6094	−	9.19312i	0.365408	−	0.316628i
$844$	10.0941	+	22.1029i	0.347452	+	0.760814i
$845$	−0.375246	+	0.249364i	−0.0129089	+	0.00857839i
$846$	1.97246	−	13.7188i	0.0678145	−	0.471660i
$847$	21.6242	−	33.6478i	0.743015	−	1.15615i
$848$	4.06186	+	3.51962i	0.139485	+	0.120864i
$849$	73.4190	+	21.5578i	2.51973	+	0.739861i
$850$	18.5821	−	0.569789i	0.637360	−	0.0195436i
$851$	6.12640	−	27.2083i	0.210010	−	0.932688i
$852$			31.6227i			1.08338i
$853$	−9.19707	+	31.3223i	−0.314902	+	1.07246i	0.638216	+	0.769857i	$0.279673\pi$
$853$	−9.19707	+	31.3223i	−0.314902	+	1.07246i	−0.953118	+	0.302599i	$0.902146\pi$
$854$	26.6061	−	30.7051i	0.910443	−	1.05071i
$855$	35.4485	+	22.0211i	1.21231	+	0.753105i
$856$	−2.22956	+	15.5070i	−0.0762049	+	0.530017i
$857$	11.8010	+	18.3627i	0.403115	+	0.627258i	0.982162	−	0.188035i	$-0.0602119\pi$
$857$	11.8010	+	18.3627i	0.403115	+	0.627258i	−0.579048	+	0.815294i	$0.696576\pi$
$858$	10.1817	−	4.64983i	0.347598	−	0.158743i
$859$	−5.09027	−	5.87449i	−0.173678	−	0.200435i	0.662236	−	0.749295i	$-0.269607\pi$
$859$	−5.09027	−	5.87449i	−0.173678	−	0.200435i	−0.835914	+	0.548860i	$0.815062\pi$
$860$	−7.35006	+	1.17202i	−0.250635	+	0.0399657i
$861$	12.7601	−	27.9406i	0.434862	−	0.952215i
$862$	−9.05317	−	30.8323i	−0.308352	−	1.05015i
$863$	−0.771653	−	2.62801i	−0.0262674	−	0.0894584i	0.945316	−	0.326155i	$-0.105753\pi$
$863$	−0.771653	−	2.62801i	−0.0262674	−	0.0894584i	−0.971584	+	0.236697i	$0.923935\pi$
$864$	−0.438785	+	0.960805i	−0.0149278	+	0.0326872i
$865$	29.0828	−	4.63748i	0.988845	−	0.157679i
$866$	−16.3878	−	18.9126i	−0.556882	−	0.642676i
$867$	−6.80550	+	3.10797i	−0.231127	+	0.105552i
$868$	10.9905	+	17.1016i	0.373044	+	0.580467i
$869$	3.06663	−	21.3289i	0.104028	−	0.723533i
$870$	10.3850	+	6.45128i	0.352083	+	0.218719i
$871$	−7.94487	+	9.16886i	−0.269202	+	0.310675i
$872$	4.12174	−	14.0373i	0.139580	−	0.475364i
$873$			12.4356i			0.420880i
$874$	−12.0185	−	32.9529i	−0.406531	−	1.11465i
$875$	2.21241	+	48.0823i	0.0747933	+	1.62548i
$876$	−30.8068	−	9.04568i	−1.04086	−	0.305625i
$877$	42.6282	+	36.9376i	1.43945	+	1.24729i	0.919495	+	0.393102i	$0.128598\pi$
$877$	42.6282	+	36.9376i	1.43945	+	1.24729i	0.519959	+	0.854191i	$0.325947\pi$
$878$	−4.45786	+	6.93657i	−0.150446	+	0.234098i
$879$	−4.22788	+	29.4055i	−0.142603	+	0.991824i
$880$	2.43496	−	1.61812i	0.0820825	−	0.0545467i
$881$	−22.8644	−	50.0661i	−0.770322	−	1.68677i	−0.725942	−	0.687756i	$-0.758596\pi$
$881$	−22.8644	−	50.0661i	−0.770322	−	1.68677i	−0.0443804	−	0.999015i	$-0.514131\pi$
$882$	22.2436	−	19.2742i	0.748982	−	0.648997i
$883$	13.3402	−	1.91803i	0.448934	−	0.0645469i	0.0858597	−	0.996307i	$-0.472636\pi$
$883$	13.3402	−	1.91803i	0.448934	−	0.0645469i	0.363074	+	0.931760i	$0.381727\pi$
$884$	−5.61206	+	12.2887i	−0.188754	+	0.413313i
$885$	−10.8091	−	34.8287i	−0.363345	−	1.17075i
$886$	−30.3862	+	8.92220i	−1.02085	+	0.299747i
$887$	−24.5032	−	11.1902i	−0.822736	−	0.375731i	−0.0408599	−	0.999165i	$-0.513010\pi$
$887$	−24.5032	−	11.1902i	−0.822736	−	0.375731i	−0.781876	+	0.623434i	$0.785737\pi$
$888$	−13.5627	+	1.95003i	−0.455135	+	0.0654386i
$889$	−17.7714	−	20.5093i	−0.596034	−	0.687860i
$890$	−18.9238	+	8.99527i	−0.634329	+	0.301522i
$891$	−11.1574	+	7.17041i	−0.373786	+	0.240218i
$892$	19.3171	+	2.77738i	0.646784	+	0.0929935i
$893$	−21.4774	+	33.4195i	−0.718715	+	1.11834i
$894$	21.8413	−	25.2063i	0.730484	−	0.843023i
$895$	−10.7320	−	2.97332i	−0.358731	−	0.0993870i
$896$	4.30516			0.143825
$897$	40.9728	−	2.63104i	1.36804	−	0.0878479i
$898$			4.06006i			0.135486i
$899$	−10.5132	−	3.08696i	−0.350636	−	0.102956i
$900$	−8.05563	+	9.89383i	−0.268521	+	0.329794i
$901$	−16.8114	−	10.8040i	−0.560067	−	0.359933i
$902$	3.91881	+	0.563440i	0.130482	+	0.0187605i
$903$	−18.2545	−	28.4046i	−0.607472	−	0.945245i
$904$	−3.57339	−	7.82464i	−0.118849	−	0.260244i
$905$	10.9856	+	12.2922i	0.365174	+	0.408607i
$906$	−2.90519	−	20.2061i	−0.0965186	−	0.671302i
$907$	−15.7413	−	7.18882i	−0.522682	−	0.238701i	0.136560	−	0.990632i	$-0.456395\pi$
$907$	−15.7413	−	7.18882i	−0.522682	−	0.238701i	−0.659242	+	0.751931i	$0.729123\pi$
$908$	−1.89626	−	6.45806i	−0.0629295	−	0.214318i
$909$	4.20860	−	1.23576i	0.139591	−	0.0409875i
$910$	−32.0354	−	14.0408i	−1.06196	−	0.465446i
$911$	1.58726	+	11.0396i	0.0525881	+	0.365759i	0.999074	+	0.0430146i	$0.0136962\pi$
$911$	1.58726	+	11.0396i	0.0525881	+	0.365759i	−0.946486	+	0.322744i	$0.895395\pi$
$912$	−13.0238	+	11.2852i	−0.431263	+	0.373691i
$913$	−11.9029	+	5.43585i	−0.393927	+	0.179900i
$914$	16.8024	−	10.7983i	0.555775	−	0.357175i
$915$	−49.3178	−	6.32095i	−1.63040	−	0.208964i
$916$	−16.2662	−	10.4537i	−0.537451	−	0.345399i
$917$	26.3666	+	22.8468i	0.870701	+	0.754466i
$918$	1.10646	−	3.76825i	0.0365185	−	0.124371i
$919$	−19.4703			−0.642266			−0.321133	−	0.947034i	$-0.604064\pi$
$919$	−19.4703			−0.642266			−0.321133	+	0.947034i	$0.604064\pi$
$920$	10.4600	−	2.36382i	0.344857	−	0.0779329i
$921$	28.9749			0.954756
$922$	4.49496	−	15.3084i	0.148034	−	0.504156i
$923$	36.8532	+	31.9335i	1.21304	+	1.05110i
$924$	11.1573	+	7.17038i	0.367049	+	0.235888i
$925$	28.8942	+	3.25401i	0.950034	+	0.106991i
$926$	−13.5803	+	8.72750i	−0.446275	+	0.286804i
$927$	25.5616	−	11.6736i	0.839555	−	0.383412i
$928$	−1.75368	+	1.51958i	−0.0575675	+	0.0498825i
$929$	4.61075	+	32.0685i	0.151274	+	1.05213i	0.914088	+	0.405515i	$0.132908\pi$
$929$	4.61075	+	32.0685i	0.151274	+	1.05213i	−0.762815	+	0.646617i	$0.776183\pi$
$930$	9.98674	−	22.7858i	0.327478	−	0.747175i
$931$	−80.9442	+	23.7674i	−2.65284	+	0.778944i
$932$	−2.37548	−	8.09013i	−0.0778113	−	0.265001i
$933$	70.9833	+	32.4170i	2.32389	+	1.06128i
$934$	−1.30343	−	9.06557i	−0.0426496	−	0.296635i
$935$	−8.10520	+	7.24364i	−0.265068	+	0.236892i
$936$	−3.85146	−	8.43352i	−0.125889	−	0.275658i
$937$	24.6658	+	38.3807i	0.805796	+	1.25384i	0.963859	+	0.266415i	$0.0858390\pi$
$937$	24.6658	+	38.3807i	0.805796	+	1.25384i	−0.158062	+	0.987429i	$0.550525\pi$
$938$	−14.2289	−	2.04581i	−0.464591	−	0.0667982i
$939$	−14.1231	−	9.07638i	−0.460891	−	0.296197i
$940$	−9.29968	−	7.81192i	−0.303322	−	0.254797i
$941$	27.2518	+	8.00184i	0.888382	+	0.260853i	0.693915	−	0.720056i	$-0.255884\pi$
$941$	27.2518	+	8.00184i	0.888382	+	0.260853i	0.194467	+	0.980909i	$0.437702\pi$
$942$		−	34.1805i		−	1.11366i
$943$	12.6948	+	7.05226i	0.413401	+	0.229653i
$944$	6.92160			0.225279
$945$	9.79908	+	2.71485i	0.318764	+	0.0883140i
$946$	2.84995	−	3.28902i	0.0926599	−	0.106935i
$947$	−22.7088	+	35.3356i	−0.737938	+	1.14825i	0.245918	+	0.969291i	$0.420911\pi$
$947$	−22.7088	+	35.3356i	−0.737938	+	1.14825i	−0.983856	+	0.178964i	$0.942726\pi$
$948$	−38.4372	−	5.52643i	−1.24838	−	0.179490i
$949$	−41.6513	+	26.7677i	−1.35206	+	0.868916i
$950$	32.7835	−	16.2039i	1.06364	−	0.525723i
$951$	−10.9572	−	12.6453i	−0.355312	−	0.410052i
$952$	−15.8444	+	2.27808i	−0.513519	+	0.0738328i
$953$	−1.47544	−	0.673811i	−0.0477942	−	0.0218269i	0.391375	−	0.920231i	$-0.372000\pi$
$953$	−1.47544	−	0.673811i	−0.0477942	−	0.0218269i	−0.439169	+	0.898405i	$0.644727\pi$
$954$	13.1589	−	3.86381i	0.426037	−	0.125096i
$955$	−46.4220	+	14.4071i	−1.50218	+	0.466204i
$956$	7.88720	−	17.2706i	0.255090	−	0.558570i
$957$	−7.07578	+	1.01734i	−0.228727	+	0.0328860i
$958$	4.20395	−	3.64274i	0.135823	−	0.117692i
$959$	−2.81921	−	6.17322i	−0.0910372	−	0.199344i
$960$	−2.91604	−	4.38809i	−0.0941147	−	0.141625i
$961$	1.23860	−	8.61465i	0.0399548	−	0.277892i
$962$	−11.4234	+	17.7752i	−0.368307	+	0.573096i
$963$	30.2120	+	26.1788i	0.973568	+	0.843601i
$964$	−3.65232	−	1.07242i	−0.117633	−	0.0345403i
$965$	0.153019	+	9.98290i	0.00492585	+	0.321361i
$966$	28.8698	+	39.1559i	0.928869	+	1.25982i
$967$		−	15.0065i		−	0.482577i	−0.970453	−	0.241289i	$-0.922430\pi$
$967$		−	15.0065i		−	0.482577i	0.970453	−	0.241289i	$-0.0775700\pi$
$968$	2.61745	−	8.91420i	0.0841279	−	0.286513i
$969$	41.9603	−	48.4248i	1.34796	−	1.55563i
$970$	9.25661	+	5.75033i	0.297212	+	0.184632i
$971$	3.64021	−	25.3182i	0.116820	−	0.812501i	−0.844201	−	0.536026i	$-0.819925\pi$
$971$	3.64021	−	25.3182i	0.116820	−	0.812501i	0.961021	−	0.276474i	$-0.0891661\pi$
$972$	11.2088	+	17.4412i	0.359521	+	0.559426i
$973$	−30.6022	+	13.9756i	−0.981062	+	0.448036i
$974$	13.4059	+	15.4713i	0.429553	+	0.495731i
$975$	7.38751	+	42.1627i	0.236590	+	1.35029i
$976$	3.92035	−	8.58438i	0.125487	−	0.274779i
$977$	2.10745	+	7.17733i	0.0674234	+	0.229623i	0.986311	−	0.164897i	$-0.0527291\pi$
$977$	2.10745	+	7.17733i	0.0674234	+	0.229623i	−0.918887	+	0.394520i	$0.870911\pi$
$978$	2.99120	+	10.1871i	0.0956482	+	0.325748i
$979$	5.08947	−	11.1444i	0.162660	−	0.356176i
$980$	−4.06139	−	25.4700i	−0.129736	−	0.813609i
$981$	−24.4469	−	28.2132i	−0.780530	−	0.900779i
$982$	0.488643	−	0.223156i	0.0155932	−	0.00712119i
$983$	1.10045	+	1.71233i	0.0350988	+	0.0546148i	0.858360	−	0.513048i	$-0.171484\pi$
$983$	1.10045	+	1.71233i	0.0350988	+	0.0546148i	−0.823261	+	0.567663i	$0.807848\pi$
$984$	1.01539	−	7.06217i	0.0323693	−	0.225134i
$985$	10.6959	−	17.2178i	0.340801	−	0.548605i
$986$	5.65003	−	6.52048i	0.179934	−	0.207654i
$987$	15.5227	−	52.8653i	0.494092	−	1.68272i
$988$			26.5741i			0.845436i
$989$	14.0659	−	7.54828i	0.447270	−	0.240021i
$990$	−0.114336	−	7.45926i	−0.00363384	−	0.237071i
$991$	35.7877	+	10.5082i	1.13683	+	0.333804i	0.795390	−	0.606098i	$-0.207266\pi$
$991$	35.7877	+	10.5082i	1.13683	+	0.333804i	0.341443	+	0.939903i	$0.389084\pi$
$992$	3.56861	+	3.09222i	0.113303	+	0.0981780i
$993$	31.5008	−	49.0161i	0.999646	−	1.55548i
$994$	−8.22291	+	57.1916i	−0.260815	+	1.81401i
$995$	13.5478	−	9.00299i	0.429494	−	0.285414i
$996$	9.79605	+	21.4504i	0.310400	+	0.679680i
$997$	2.78682	−	2.41479i	0.0882594	−	0.0764772i	−0.609614	−	0.792699i	$-0.708675\pi$
$997$	2.78682	−	2.41479i	0.0882594	−	0.0764772i	0.697873	+	0.716221i	$0.254130\pi$
$998$	41.0458	−	5.90150i	1.29928	−	0.186809i
$999$	2.55169	−	5.58743i	0.0807320	−	0.176778i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.j.a.179.8	yes	120
5.4	even	2	inner	230.2.j.a.179.5	yes	120
23.9	even	11	inner	230.2.j.a.9.5	✓	120
115.9	even	22	inner	230.2.j.a.9.8	yes	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.j.a.9.5	✓	120	23.9	even	11	inner
230.2.j.a.9.8	yes	120	115.9	even	22	inner
230.2.j.a.179.5	yes	120	5.4	even	2	inner
230.2.j.a.179.8	yes	120	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:	\( N \)	\(=\)	\( 230 = 2 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	230.j (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.281733 - 0.959493i) q^{2} +(-1.78070 - 1.54299i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-0.284267 + 2.21793i) q^{5} +(-1.98217 + 1.27386i) q^{6} +(-3.91611 + 1.78843i) q^{7} +(-0.755750 + 0.654861i) q^{8} +(0.363147 + 2.52574i) q^{9} +O(q^{10})\)	\(q+(0.281733 - 0.959493i) q^{2} +(-1.78070 - 1.54299i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-0.284267 + 2.21793i) q^{5} +(-1.98217 + 1.27386i) q^{6} +(-3.91611 + 1.78843i) q^{7} +(-0.755750 + 0.654861i) q^{8} +(0.363147 + 2.52574i) q^{9} +(2.04800 + 0.897613i) q^{10} +(-1.25450 + 0.368356i) q^{11} +(0.663820 + 2.26076i) q^{12} +(3.30504 + 1.50936i) q^{13} +(0.612689 + 4.26134i) q^{14} +(3.92843 - 3.51085i) q^{15} +(0.415415 + 0.909632i) q^{16} +(-2.01019 - 3.12792i) q^{17} +(2.52574 + 0.363147i) q^{18} +(-6.15283 - 3.95418i) q^{19} +(1.43824 - 1.71215i) q^{20} +(9.73296 + 2.85785i) q^{21} +1.30747i q^{22} +(-1.70861 + 4.48114i) q^{23} +2.35621 q^{24} +(-4.83839 - 1.26096i) q^{25} +(2.37936 - 2.74593i) q^{26} +(-0.571055 + 0.888580i) q^{27} +(4.26134 + 0.612689i) q^{28} +(-1.95209 + 1.25453i) q^{29} +(-2.26187 - 4.75842i) q^{30} +(3.09222 + 3.56861i) q^{31} +(0.989821 - 0.142315i) q^{32} +(2.80227 + 1.27975i) q^{33} +(-3.56755 + 1.04753i) q^{34} +(-2.85338 - 9.19404i) q^{35} +(1.06002 - 2.32112i) q^{36} +(-5.75617 + 0.827612i) q^{37} +(-5.52746 + 4.78957i) q^{38} +(-3.55637 - 7.78737i) q^{39} +(-1.23760 - 1.86235i) q^{40} +(0.430941 - 2.99726i) q^{41} +(5.48418 - 8.53356i) q^{42} +(-2.51557 - 2.17975i) q^{43} +(1.25450 + 0.368356i) q^{44} +(-5.70513 + 0.0874487i) q^{45} +(3.81826 + 2.90188i) q^{46} -5.43158i q^{47} +(0.663820 - 2.26076i) q^{48} +(7.55344 - 8.71714i) q^{49} +(-2.57302 + 4.28714i) q^{50} +(-1.24679 + 8.67159i) q^{51} +(-1.96436 - 3.05660i) q^{52} +(4.88892 - 2.23270i) q^{53} +(0.691701 + 0.798266i) q^{54} +(-0.460372 - 2.88711i) q^{55} +(1.78843 - 3.91611i) q^{56} +(4.85510 + 16.5350i) q^{57} +(0.653748 + 2.22646i) q^{58} +(2.87534 - 6.29611i) q^{59} +(-5.20291 + 0.829644i) q^{60} +(-6.18005 - 7.13216i) q^{61} +(4.29523 - 1.96157i) q^{62} +(-5.93923 - 9.24163i) q^{63} +(0.142315 - 0.989821i) q^{64} +(-4.28717 + 6.90128i) q^{65} +(2.01740 - 2.32821i) q^{66} +(-0.940726 + 3.20382i) q^{67} +3.71816i q^{68} +(9.95688 - 5.34322i) q^{69} +(-9.62551 + 0.147541i) q^{70} +(12.8774 + 3.78114i) q^{71} +(-1.92846 - 1.67102i) q^{72} +(-7.36715 + 11.4635i) q^{73} +(-0.827612 + 5.75617i) q^{74} +(6.67007 + 9.71097i) q^{75} +(3.03830 + 6.65294i) q^{76} +(4.25400 - 3.68611i) q^{77} +(-8.47387 + 1.21836i) q^{78} +(-6.84642 + 14.9916i) q^{79} +(-2.13558 + 0.662782i) q^{80} +(9.73300 - 2.85787i) q^{81} +(-2.75444 - 1.25791i) q^{82} +(9.90631 - 1.42431i) q^{83} +(-6.64281 - 7.66622i) q^{84} +(7.50892 - 3.56929i) q^{85} +(-2.80018 + 1.79956i) q^{86} +(5.41183 + 0.778103i) q^{87} +(0.706869 - 1.09991i) q^{88} +(-6.13634 + 7.08172i) q^{89} +(-1.52342 + 5.49867i) q^{90} -15.6423 q^{91} +(3.86006 - 2.84603i) q^{92} -11.1259i q^{93} +(-5.21156 - 1.53025i) q^{94} +(10.5191 - 12.5225i) q^{95} +(-1.98217 - 1.27386i) q^{96} +(4.82382 + 0.693560i) q^{97} +(-6.23598 - 9.70338i) q^{98} +(-1.38594 - 3.03478i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) \) 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9	\( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) \) 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9 + 8 * q^11 - 6 * q^15 - 12 * q^16 - 16 * q^19 - 22 * q^20 + 4 * q^24 - 52 * q^25 - 4 * q^26 - 8 * q^29 - 44 * q^30 + 12 * q^31 + 16 * q^35 - 8 * q^36 - 36 * q^39 - 28 * q^41 - 8 * q^44 + 16 * q^45 - 4 * q^46 - 58 * q^49 + 12 * q^50 - 24 * q^51 - 6 * q^54 - 36 * q^55 + 22 * q^56 - 102 * q^59 - 38 * q^60 + 72 * q^61 + 12 * q^64 - 138 * q^65 + 80 * q^66 - 212 * q^69 - 108 * q^70 + 176 * q^71 - 88 * q^74 - 100 * q^75 + 16 * q^76 - 104 * q^79 - 22 * q^80 - 28 * q^81 - 22 * q^84 + 2 * q^85 + 62 * q^86 + 48 * q^89 + 24 * q^90 - 56 * q^91 + 24 * q^94 + 18 * q^95 - 4 * q^96 + 188 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

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