LMFDB - Embedded newform 230.2.j.a.9.8

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			9.8
Character	$\chi$	$=$	230.9
Dual form			230.2.j.a.179.8

$q$-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 $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$-1$	$e\left(\frac{5}{11}\right)$

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	−0.994088	−	0.108577i	$-0.965370\pi$
$3$	−1.78070	+	1.54299i	−1.02809	+	0.890844i	−0.0340012	+	0.999422i	$0.510825\pi$
$4$	−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	−0.498543	−	0.866865i	$-0.666131\pi$
$7$	−3.91611	−	1.78843i	−1.48015	−	0.675963i	−0.981609	+	0.190902i	$0.938859\pi$
$8$	−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	0.0870819	−	0.996201i	$-0.472246\pi$
$11$	−1.25450	−	0.368356i	−0.378247	−	0.111063i	−0.465329	+	0.885138i	$0.654064\pi$
$12$	0.663820	−	2.26076i	0.191628	−	0.652626i
$13$	3.30504	−	1.50936i	0.916654	−	0.418622i	0.0994977	−	0.995038i	$-0.468276\pi$
$13$	3.30504	−	1.50936i	0.916654	−	0.418622i	0.817157	+	0.576416i	$0.195549\pi$
$14$	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	−0.994656	−	0.103248i	$-0.967076\pi$
$17$	−2.01019	+	3.12792i	−0.487543	+	0.758631i	0.507113	+	0.861880i	$0.330713\pi$
$18$	2.52574	−	0.363147i	0.595323	−	0.0855945i
$19$	−6.15283	+	3.95418i	−1.41156	+	0.907152i	−0.999991	−	0.00422920i	$-0.998654\pi$
$19$	−6.15283	+	3.95418i	−1.41156	+	0.907152i	−0.411564	+	0.911381i	$0.635017\pi$
$20$	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	0.346697	−	0.937977i	$-0.387303\pi$
$29$	−1.95209	−	1.25453i	−0.362494	−	0.232961i	−0.709191	+	0.705016i	$0.750940\pi$
$30$	−2.26187	+	4.75842i	−0.412958	+	0.868764i
$31$	3.09222	−	3.56861i	0.555378	−	0.640941i	−0.406749	−	0.913540i	$-0.633338\pi$
$31$	3.09222	−	3.56861i	0.555378	−	0.640941i	0.962128	+	0.272599i	$0.0878832\pi$
$32$	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	−0.348152	−	0.937438i	$-0.613191\pi$
$37$	−5.75617	−	0.827612i	−0.946308	−	0.136059i	−0.598156	+	0.801379i	$0.704100\pi$
$38$	−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	0.995404	+	0.0957675i	$0.0305305\pi$
$41$	0.430941	+	2.99726i	0.0673017	+	0.468093i	−0.928102	+	0.372326i	$0.878560\pi$
$42$	5.48418	+	8.53356i	0.846228	+	1.31676i
$43$	−2.51557	+	2.17975i	−0.383621	+	0.332409i	−0.825229	−	0.564799i	$-0.808954\pi$
$43$	−2.51557	+	2.17975i	−0.383621	+	0.332409i	0.441608	+	0.897208i	$0.354408\pi$
$44$	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	$0.129650\pi$
$47$			5.43158i			0.792277i	−0.918191	+	0.396138i	$0.870350\pi$
$48$	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	0.721850	−	0.692050i	$-0.243292\pi$
$53$	4.88892	+	2.23270i	0.671545	+	0.306684i	−0.0503049	+	0.998734i	$0.516019\pi$
$54$	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	0.999240	+	0.0389811i	$0.0124112\pi$
$59$	2.87534	+	6.29611i	0.374337	+	0.819683i	−0.624903	+	0.780702i	$0.714862\pi$
$60$	−5.20291	−	0.829644i	−0.671693	−	0.107107i
$61$	−6.18005	+	7.13216i	−0.791274	+	0.913179i	−0.997869	−	0.0652474i	$-0.979216\pi$
$61$	−6.18005	+	7.13216i	−0.791274	+	0.913179i	0.206595	+	0.978427i	$0.433762\pi$
$62$	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	0.881858	−	0.471514i	$-0.156292\pi$
$67$	−0.940726	−	3.20382i	−0.114928	−	0.391409i	−0.996786	+	0.0801056i	$0.974474\pi$
$68$		−	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	0.593746	−	0.804653i	$-0.297648\pi$
$71$	12.8774	−	3.78114i	1.52826	−	0.448739i	0.934519	+	0.355914i	$0.115830\pi$
$72$	−1.92846	+	1.67102i	−0.227271	+	0.196931i
$73$	−7.36715	−	11.4635i	−0.862260	−	1.34170i	−0.938738	−	0.344631i	$-0.888004\pi$
$73$	−7.36715	−	11.4635i	−0.862260	−	1.34170i	0.0764786	−	0.997071i	$-0.475632\pi$
$74$	−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	−0.726030	−	0.687663i	$-0.758637\pi$
$79$	−6.84642	−	14.9916i	−0.770282	−	1.68668i	−0.0442519	−	0.999020i	$-0.514090\pi$
$80$	−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	0.662604	−	0.748970i	$-0.269451\pi$
$83$	9.90631	+	1.42431i	1.08736	+	0.156339i	0.424755	+	0.905308i	$0.360360\pi$
$84$	−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	0.330735	−	0.943724i	$-0.392703\pi$
$89$	−6.13634	−	7.08172i	−0.650451	−	0.750660i	−0.981186	+	0.193063i	$0.938158\pi$
$90$	−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	0.107002	−	0.994259i	$-0.465875\pi$
$97$	4.82382	−	0.693560i	0.489784	−	0.0704203i	0.382783	+	0.923838i	$0.374966\pi$
$98$	−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	−0.998366	−	0.0571427i	$-0.981801\pi$
$101$	−0.244633	+	1.70146i	−0.0243419	+	0.169301i	0.974024	+	0.226444i	$0.0727101\pi$
$102$	7.96907	−	3.63935i	0.789055	−	0.360350i
$103$	−3.10262	+	10.5665i	−0.305710	+	1.04115i	0.653139	+	0.757238i	$0.273452\pi$
$103$	−3.10262	+	10.5665i	−0.305710	+	1.04115i	−0.958849	+	0.283915i	$0.908367\pi$
$104$	−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	0.999997	+	0.00231658i	$0.000737390\pi$
$107$	11.8399	+	10.2593i	1.14460	+	0.991806i	0.144607	+	0.989489i	$0.453808\pi$
$108$	0.960805	+	0.438785i	0.0924535	+	0.0422221i
$109$	−12.3075	−	7.90955i	−1.17885	−	0.757598i	−0.203672	−	0.979039i	$-0.565287\pi$
$109$	−12.3075	−	7.90955i	−1.17885	−	0.757598i	−0.975174	+	0.221441i	$0.928924\pi$
$110$	−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	−0.991439	−	0.130572i	$-0.958319\pi$
$113$	−2.42346	−	8.25354i	−0.227980	−	0.776428i	0.763459	−	0.645856i	$-0.223499\pi$
$114$	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	−0.842411	−	0.538835i	$-0.818865\pi$
$127$	1.77591	−	6.04819i	0.157586	−	0.536690i	0.999998	+	0.00214510i	$0.000682807\pi$
$128$	−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	−0.997787	−	0.0664903i	$-0.978820\pi$
$131$	−3.36642	+	7.37143i	−0.294125	+	0.644045i	0.703662	+	0.710535i	$0.251547\pi$
$132$	−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	$-0.978549\pi$
$137$		−	1.57636i		−	0.134678i	0.997730	−	0.0673389i	$-0.0214509\pi$
$138$	−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	−0.326794	−	0.945096i	$-0.605968\pi$
$149$	−13.5818	−	3.98799i	−1.11267	−	0.326709i	−0.785874	+	0.618387i	$0.787787\pi$
$150$	11.1968	+	3.66399i	0.914214	+	0.299164i
$151$	−3.59910	−	7.88093i	−0.292890	−	0.641341i	0.704790	−	0.709416i	$-0.251041\pi$
$151$	−3.59910	−	7.88093i	−0.292890	−	0.641341i	−0.997680	+	0.0680756i	$0.978314\pi$
$152$	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	−0.998935	−	0.0461338i	$-0.985310\pi$
$157$	−7.84285	−	12.2037i	−0.625927	−	0.973962i	0.373008	−	0.927828i	$-0.378326\pi$
$158$	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	0.994152	−	0.107989i	$-0.0344411\pi$
$163$	1.26950	+	4.32352i	0.0994349	+	0.338644i	−0.894717	+	0.446633i	$0.852623\pi$
$164$	−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	−0.821575	−	0.570101i	$-0.806904\pi$
$167$	0.494968	−	0.770186i	0.0383018	−	0.0595988i	0.859876	+	0.510502i	$0.170540\pi$
$168$	−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	0.689520	+	0.724267i	$0.257822\pi$
$173$	−3.71057	+	12.6370i	−0.282109	+	0.960776i	−0.971629	+	0.236509i	$0.923997\pi$
$174$	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	−0.999014	−	0.0443996i	$-0.985863\pi$
$179$	−0.708769	−	4.92960i	−0.0529759	−	0.368455i	0.946038	−	0.324056i	$-0.105047\pi$
$180$	4.84674	−	3.01086i	0.361255	−	0.224416i
$181$	4.82808	+	5.57190i	0.358868	+	0.414156i	0.906260	−	0.422720i	$-0.138925\pi$
$181$	4.82808	+	5.57190i	0.358868	+	0.414156i	−0.547392	+	0.836876i	$0.684379\pi$
$182$	−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	−0.235165	−	0.971955i	$-0.575563\pi$
$191$	9.03003	−	19.7730i	0.653390	−	1.43072i	0.888555	−	0.458769i	$-0.151710\pi$
$192$	−1.78070	−	1.54299i	−0.128511	−	0.111356i
$193$	4.41957	+	0.635438i	0.318127	+	0.0457398i	0.299529	−	0.954087i	$-0.403170\pi$
$193$	4.41957	+	0.635438i	0.318127	+	0.0457398i	0.0185985	+	0.999827i	$0.494080\pi$
$194$	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	−0.686899	−	0.726753i	$-0.741029\pi$
$197$	−8.24566	+	3.76567i	−0.587479	+	0.268293i	0.0994199	+	0.995046i	$0.468301\pi$
$198$	−3.30232	−	0.474802i	−0.234686	−	0.0337427i
$199$	−4.76383	+	5.49775i	−0.337699	+	0.389725i	−0.899045	−	0.437856i	$-0.855738\pi$
$199$	−4.76383	+	5.49775i	−0.337699	+	0.389725i	0.561346	+	0.827581i	$0.310284\pi$
$200$	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	−0.999960	−	0.00892008i	$-0.997161\pi$
$211$	−20.4414	+	13.1369i	−1.40724	+	0.904381i	−0.407284	+	0.913301i	$0.633524\pi$
$212$	−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	−0.279924	−	0.960022i	$-0.590309\pi$
$223$	−17.7521	−	8.10713i	−1.18877	−	0.542894i	−0.908847	+	0.417129i	$0.863036\pi$
$224$	−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	−0.469507	−	0.882929i	$-0.655568\pi$
$227$	5.08672	−	4.40767i	0.337618	−	0.292547i	0.807124	+	0.590382i	$0.201023\pi$
$228$	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	−0.420660	−	0.907219i	$-0.638201\pi$
$233$	6.37223	−	5.52157i	0.417459	−	0.361730i	0.838118	+	0.545489i	$0.183656\pi$
$234$	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	−0.693835	−	0.720134i	$-0.744080\pi$
$239$	2.70204	−	18.7931i	0.174780	−	1.21562i	0.868615	−	0.495488i	$-0.165011\pi$
$240$	4.82550	−	2.11496i	0.311485	−	0.136520i
$241$	3.65232	+	1.07242i	0.235267	+	0.0690806i	0.397241	−	0.917714i	$-0.369968\pi$
$241$	3.65232	+	1.07242i	0.235267	+	0.0690806i	−0.161974	+	0.986795i	$0.551786\pi$
$242$	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	−0.919466	−	0.393170i	$-0.871378\pi$
$251$	−23.4540	+	6.88672i	−1.48041	+	0.434686i	−0.560940	+	0.827857i	$0.689560\pi$
$252$		−	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	−0.962059	−	0.272840i	$-0.912037\pi$
$257$	−12.9947	−	20.2202i	−0.810590	−	1.26130i	0.151470	−	0.988462i	$-0.451599\pi$
$258$	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	−0.126919	−	0.991913i	$-0.540509\pi$
$263$	8.75091	−	3.99641i	0.539604	−	0.246429i	0.666524	+	0.745484i	$0.267782\pi$
$264$	−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	−0.964011	−	0.265863i	$-0.914343\pi$
$269$	−2.16155	+	4.73314i	−0.131792	+	0.288585i	0.832219	+	0.554448i	$0.187070\pi$
$270$	−1.96712	−	1.30722i	−0.119715	−	0.0795549i
$271$	0.765162	+	5.32182i	0.0464803	+	0.323277i	0.999775	+	0.0212343i	$0.00675960\pi$
$271$	0.765162	+	5.32182i	0.0464803	+	0.323277i	−0.953294	+	0.302043i	$0.902331\pi$
$272$	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	$0.0778913\pi$
$277$			8.06429i			0.484536i	−0.970209	+	0.242268i	$0.922109\pi$
$278$	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	−0.999357	−	0.0358538i	$-0.988585\pi$
$281$	−0.847911	−	5.89735i	−0.0505822	−	0.351807i	0.948775	−	0.315953i	$-0.102324\pi$
$282$	6.91908	−	10.7663i	0.412025	−	0.641124i
$283$	−29.5406	−	13.4907i	−1.75600	−	0.801941i	−0.986596	−	0.163184i	$-0.947823\pi$
$283$	−29.5406	−	13.4907i	−1.75600	−	0.801941i	−0.769409	−	0.638756i	$-0.779449\pi$
$284$	−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	−0.981236	−	0.192810i	$-0.938240\pi$
$293$	−6.81660	+	10.6068i	−0.398230	+	0.619658i	0.583006	+	0.812468i	$0.301876\pi$
$294$	−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	0.348006	−	0.937492i	$-0.386859\pi$
$307$	−9.29366	−	8.05300i	−0.530417	−	0.459609i	−0.878423	+	0.477883i	$0.841404\pi$
$308$	−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	−0.804075	−	0.594528i	$-0.797339\pi$
$311$	−31.7774	−	9.33069i	−1.80193	−	0.529095i	−0.997857	+	0.0654336i	$0.979157\pi$
$312$	7.78737	−	3.55637i	0.440873	−	0.201340i
$313$	7.05257	+	1.01401i	0.398635	+	0.0573150i	0.338717	−	0.940888i	$-0.390007\pi$
$313$	7.05257	+	1.01401i	0.398635	+	0.0573150i	0.0599178	+	0.998203i	$0.480916\pi$
$314$	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	0.0579384	−	0.998320i	$-0.481547\pi$
$317$	7.02902	−	1.01062i	0.394789	−	0.0567621i	0.336851	+	0.941558i	$0.390638\pi$
$318$	−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	−0.629397	−	0.777084i	$-0.716698\pi$
$331$	3.51924	−	24.4768i	0.193435	−	1.34537i	0.822832	−	0.568285i	$-0.192393\pi$
$332$	−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	0.864168	−	0.503203i	$-0.167845\pi$
$337$	8.97814	+	7.77960i	0.489070	+	0.423782i	−0.375098	+	0.926985i	$0.622391\pi$
$338$	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	0.997855	−	0.0654662i	$-0.0208535\pi$
$347$	2.29146	+	7.80401i	0.123012	+	0.418941i	−0.874843	+	0.484407i	$0.839035\pi$
$348$	−4.13204	+	3.58044i	−0.221501	+	0.191932i
$349$	−1.01930	+	0.655061i	−0.0545616	+	0.0350646i	−0.567637	−	0.823279i	$-0.692142\pi$
$349$	−1.01930	+	0.655061i	−0.0545616	+	0.0350646i	0.513076	+	0.858343i	$0.328506\pi$
$350$	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	0.567259	−	0.823540i	$-0.308004\pi$
$353$	−3.14083	−	2.72154i	−0.167169	−	0.144853i	−0.734428	+	0.678687i	$0.762549\pi$
$354$	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	0.934521	+	0.355908i	$0.115828\pi$
$359$	−1.18262	+	8.22530i	−0.0624162	+	0.434114i	−0.996937	+	0.0782064i	$0.975081\pi$
$360$	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	$0.132687\pi$
$367$			15.5128i			0.809762i	−0.914369	+	0.404881i	$0.867313\pi$
$368$	−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	−0.656376	−	0.754434i	$-0.727912\pi$
$373$	−20.7350	+	2.98124i	−1.07362	+	0.154363i	−0.417240	+	0.908797i	$0.637002\pi$
$374$	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	0.782232	−	0.622987i	$-0.214081\pi$
$379$	21.4824	+	6.30779i	1.10347	+	0.324009i	0.321243	+	0.946997i	$0.395899\pi$
$380$	−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	0.988272	−	0.152705i	$-0.0487984\pi$
$383$	19.1353	+	16.5808i	0.977767	+	0.847240i	−0.0105049	+	0.999945i	$0.503344\pi$
$384$	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	−0.782617	−	0.622503i	$-0.786116\pi$
$389$	−21.7831	+	6.39609i	−1.10445	+	0.324295i	−0.321829	+	0.946798i	$0.604298\pi$
$390$	−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	−0.815549	−	0.578688i	$-0.803565\pi$
$397$	0.988968	−	1.53886i	0.0496349	−	0.0772334i	0.865184	+	0.501454i	$0.167201\pi$
$398$	−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	0.993839	−	0.110834i	$-0.0353523\pi$
$401$	5.19147	+	11.3677i	0.259250	+	0.567678i	−0.734589	+	0.678512i	$0.762625\pi$
$402$	−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	0.781371	+	0.624067i	$0.214521\pi$
$409$	4.19584	+	29.1827i	0.207471	+	1.44299i	−0.573900	+	0.818925i	$0.694570\pi$
$410$	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	−0.963015	−	0.269448i	$-0.913159\pi$
$419$	−2.35238	−	16.3612i	−0.114921	−	0.799295i	0.848094	−	0.529846i	$-0.177750\pi$
$420$	18.8914	+	12.5540i	0.921807	+	0.612573i
$421$	9.69548	−	21.2301i	0.472529	−	1.03469i	−0.511922	−	0.859032i	$-0.671066\pi$
$421$	9.69548	−	21.2301i	0.472529	−	1.03469i	0.984451	−	0.175662i	$-0.0562065\pi$
$422$	−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	0.993441	−	0.114342i	$-0.0364759\pi$
$431$	27.0328	+	17.3729i	1.30212	+	0.836824i	0.308681	+	0.951165i	$0.400112\pi$
$432$	−1.04551	+	0.150321i	−0.0503019	+	0.00723232i
$433$	13.5295	+	21.0523i	0.650186	+	1.01171i	0.997268	+	0.0738744i	$0.0235364\pi$
$433$	13.5295	+	21.0523i	0.650186	+	1.01171i	−0.347081	+	0.937835i	$0.612827\pi$
$434$	−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	−0.465023	−	0.885299i	$-0.653954\pi$
$439$	−7.91152	+	2.32303i	−0.377596	+	0.110872i	0.0874266	+	0.996171i	$0.472136\pi$
$440$	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	0.147480	+	0.989065i	$0.452884\pi$
$443$	−17.1216	+	26.6417i	−0.813471	+	1.26579i	−0.960950	+	0.276720i	$0.910752\pi$
$444$	−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	0.188514	−	0.982070i	$-0.439633\pi$
$449$	−3.89560	−	1.14385i	−0.183845	−	0.0539817i	−0.372359	+	0.928089i	$0.621451\pi$
$450$	−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	−0.225964	−	0.974136i	$-0.572553\pi$
$457$	15.0947	−	13.0796i	0.706098	−	0.611837i	0.932062	+	0.362298i	$0.118008\pi$
$458$	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	−0.890533	−	0.454918i	$-0.849668\pi$
$463$	−12.2000	+	10.5713i	−0.566981	+	0.491292i	0.323552	+	0.946210i	$0.395123\pi$
$464$	−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	0.598740	−	0.800943i	$-0.295668\pi$
$467$	8.33114	+	3.80470i	0.385519	+	0.176061i	−0.213221	+	0.977004i	$0.568395\pi$
$468$	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	−0.429350	−	0.903138i	$-0.641257\pi$
$479$	4.67957	−	3.00738i	0.213815	−	0.137411i	0.643165	+	0.765728i	$0.277621\pi$
$480$	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	0.494527	−	0.869162i	$-0.335341\pi$
$487$	−11.0677	−	17.2216i	−0.501524	−	0.780387i	−0.996052	+	0.0887749i	$0.971705\pi$
$488$	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	−0.747756	−	0.663973i	$-0.768869\pi$
$491$	0.351783	−	0.405979i	0.0158757	−	0.0183216i	0.763632	+	0.645652i	$0.223414\pi$
$492$	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	0.0470757	−	0.998891i	$-0.485010\pi$
$499$	17.2264	−	37.7205i	0.771159	−	1.68860i	0.724084	−	0.689712i	$-0.242263\pi$
$500$	−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	−0.665509	−	0.746390i	$-0.731786\pi$
$503$	−0.480592	+	0.416436i	−0.0214286	+	0.0185680i	0.644081	+	0.764958i	$0.277240\pi$
$504$	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	0.991232	−	0.132135i	$-0.0421833\pi$
$509$	16.2298	+	18.7302i	0.719374	+	0.830202i	−0.271857	+	0.962338i	$0.587638\pi$
$510$	−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	−0.726579	−	0.687083i	$-0.758891\pi$
$521$	1.29908	−	1.49922i	0.0569139	−	0.0656822i	0.783493	+	0.621401i	$0.213436\pi$
$522$	−5.38606	−	2.45973i	−0.235741	−	0.107659i
$523$	−9.00256	+	14.0083i	−0.393655	+	0.612539i	−0.980349	−	0.197270i	$-0.936793\pi$
$523$	−9.00256	+	14.0083i	−0.393655	+	0.612539i	0.586695	+	0.809808i	$0.300429\pi$
$524$	−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	0.238311	−	0.971189i	$-0.423406\pi$
$541$	−2.00667	−	0.589211i	−0.0862734	−	0.0253322i	−0.324584	+	0.945857i	$0.605224\pi$
$542$	−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	−0.440772	−	0.897619i	$-0.645295\pi$
$547$	−14.2854	+	2.05393i	−0.610800	+	0.0878198i	−0.170029	+	0.985439i	$0.554386\pi$
$548$	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	−0.880993	−	0.473129i	$-0.843125\pi$
$557$	−37.5963	+	5.40552i	−1.59300	+	0.229039i	−0.712011	+	0.702168i	$0.752215\pi$
$558$	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	−0.822011	−	0.569472i	$-0.807148\pi$
$563$	4.20900	−	14.3345i	0.177388	−	0.604129i	0.999399	−	0.0346574i	$-0.0110340\pi$
$564$	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	0.543806	−	0.839211i	$-0.316983\pi$
$569$	0.151187	+	0.0971618i	0.00633808	+	0.00407324i	−0.537468	+	0.843284i	$0.680619\pi$
$570$	−4.89877	−	38.2215i	−0.205187	−	1.60092i
$571$	20.3199	−	13.0588i	0.850360	−	0.546493i	−0.0413268	−	0.999146i	$-0.513158\pi$
$571$	20.3199	−	13.0588i	0.850360	−	0.546493i	0.891687	+	0.452652i	$0.149522\pi$
$572$	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	0.988188	−	0.153246i	$-0.0489726\pi$
$577$	1.77803	+	6.05543i	0.0740205	+	0.252091i	−0.914168	+	0.405336i	$0.867154\pi$
$578$	−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	0.832333	+	0.554276i	$0.187005\pi$
$587$	−4.05904	+	13.8238i	−0.167534	+	0.570570i	−0.999867	+	0.0162937i	$0.994813\pi$
$588$	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	0.0215620	−	0.999768i	$-0.493136\pi$
$593$	7.88791	−	1.13411i	0.323918	−	0.0465723i	0.302356	+	0.953195i	$0.402227\pi$
$594$	−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	0.624039	−	0.781393i	$-0.285491\pi$
$601$	−5.83980	−	6.73949i	−0.238210	−	0.274909i	−0.862250	+	0.506484i	$0.830945\pi$
$602$	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	−0.148580	−	0.988900i	$-0.547470\pi$
$607$	−14.0371	−	2.01823i	−0.569747	−	0.0819173i	−0.421167	+	0.906983i	$0.638379\pi$
$608$	−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	−0.0574110	−	0.998351i	$-0.518285\pi$
$613$	−26.0901	−	22.6072i	−1.05377	−	0.913097i	−0.996359	+	0.0852535i	$0.972830\pi$
$614$	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	0.950641	−	0.310294i	$-0.100428\pi$
$617$	6.79302	+	10.5702i	0.273477	+	0.425538i	−0.677164	+	0.735832i	$0.736791\pi$
$618$	19.6102	−	16.9924i	0.788839	−	0.683533i
$619$	−3.16054	+	0.928018i	−0.127033	+	0.0373002i	−0.344631	−	0.938738i	$-0.611996\pi$
$619$	−3.16054	+	0.928018i	−0.127033	+	0.0373002i	0.217598	+	0.976038i	$0.430178\pi$
$620$	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	0.998653	+	0.0518813i	$0.0165218\pi$
$631$	9.64305	+	21.1153i	0.383884	+	0.840588i	−0.614770	+	0.788707i	$0.710751\pi$
$632$	−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	−0.999679	−	0.0253502i	$-0.991930\pi$
$641$	−22.3432	−	25.7854i	−0.882502	−	1.01846i	0.117177	−	0.993111i	$-0.462616\pi$
$642$	−10.3997	−	35.4181i	−0.410443	−	1.39784i
$643$		−	7.69594i		−	0.303498i	−0.988419	−	0.151749i	$-0.951509\pi$
$643$		−	7.69594i		−	0.303498i	0.988419	−	0.151749i	$-0.0484906\pi$
$644$	−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	0.183158	−	0.983083i	$-0.441368\pi$
$647$	30.0732	−	26.0586i	1.18230	−	1.02447i	0.999143	−	0.0413863i	$-0.0131774\pi$
$648$	−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	0.813385	−	0.581726i	$-0.197622\pi$
$653$	36.5403	+	5.25370i	1.42993	+	0.205593i	0.616546	+	0.787319i	$0.288531\pi$
$654$	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	−0.606365	−	0.795186i	$-0.707373\pi$
$659$	6.85473	−	7.91078i	0.267022	−	0.308160i	0.873387	+	0.487026i	$0.161918\pi$
$660$	6.22146	+	2.95731i	0.242170	+	0.115113i
$661$	−28.4342	−	18.2736i	−1.10596	−	0.710759i	−0.145553	−	0.989350i	$-0.546496\pi$
$661$	−28.4342	−	18.2736i	−1.10596	−	0.710759i	−0.960410	+	0.278591i	$0.910133\pi$
$662$	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	−0.744411	−	0.667722i	$-0.767270\pi$
$673$	4.46751	−	6.95158i	0.172210	−	0.267964i	0.916621	+	0.399758i	$0.130906\pi$
$674$	−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	0.289377	−	0.957215i	$-0.406552\pi$
$677$	31.2828	−	14.2864i	1.20229	−	0.549069i	0.912917	+	0.408146i	$0.133825\pi$
$678$	−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	−0.527737	−	0.849408i	$-0.676959\pi$
$683$	−39.6005	−	18.0849i	−1.51527	−	0.692001i	−0.987534	+	0.157407i	$0.949687\pi$
$684$	−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	0.897284	−	0.441454i	$-0.145537\pi$
$701$	37.4233	+	10.9885i	1.41346	+	0.415029i	0.516175	+	0.856483i	$0.327355\pi$
$702$	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	−0.297304	−	0.954783i	$-0.596088\pi$
$709$	11.9207	−	7.66098i	0.447692	−	0.287714i	0.744996	+	0.667069i	$0.232451\pi$
$710$	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	0.487893	−	0.872903i	$-0.337766\pi$
$719$	−2.77391	−	1.78269i	−0.103449	−	0.0664829i	−0.591343	+	0.806420i	$0.701402\pi$
$720$	−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	0.468485	−	0.883471i	$-0.344800\pi$
$727$	18.0406	+	2.59385i	0.669090	+	0.0962007i	0.200605	+	0.979672i	$0.435709\pi$
$728$	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	−0.152135	+	0.988360i	$0.548615\pi$
$733$	−31.1915	+	27.0276i	−1.15209	+	0.998288i	−0.999951	+	0.00992778i	$0.996840\pi$
$734$	−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	0.999935	−	0.0114050i	$-0.00363042\pi$
$739$	23.0074	+	26.5519i	0.846340	+	0.976729i	−0.153595	+	0.988134i	$0.549085\pi$
$740$	−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	−0.107393	−	0.994217i	$-0.534250\pi$
$743$	−25.3254	−	11.5657i	−0.929099	−	0.424305i	−0.821706	+	0.569911i	$0.806978\pi$
$744$	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	−0.996979	−	0.0776683i	$-0.975252\pi$
$751$	−21.3265	+	24.6121i	−0.778217	+	0.898110i	0.218763	+	0.975778i	$0.429798\pi$
$752$	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	0.931015	−	0.364981i	$-0.118925\pi$
$757$	−1.36271	−	4.64095i	−0.0495284	−	0.168678i	−0.980543	+	0.196303i	$0.937106\pi$
$758$			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	0.0416541	−	0.999132i	$-0.486737\pi$
$761$	17.0170	−	4.99666i	0.616867	−	0.181129i	0.575213	+	0.818003i	$0.304919\pi$
$762$	−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	0.889314	−	0.457298i	$-0.151183\pi$
$769$	−1.07223	−	2.34787i	−0.0386658	−	0.0846662i	−0.927979	+	0.372632i	$0.878455\pi$
$770$	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	0.149209	−	0.988806i	$-0.452327\pi$
$773$	0.383553	+	0.0551466i	0.0137954	+	0.00198349i	−0.135414	+	0.990789i	$0.543236\pi$
$774$	−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	0.176411	−	0.984317i	$-0.443551\pi$
$787$	17.4770	−	2.51282i	0.622990	−	0.0895724i	0.446579	+	0.894744i	$0.352642\pi$
$788$	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	0.446852	−	0.894608i	$-0.352545\pi$
$797$	−10.5883	−	9.17482i	−0.375057	−	0.324989i	−0.821909	+	0.569619i	$0.807091\pi$
$798$	−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	−0.473127	+	0.880994i	$0.656875\pi$
$809$	−41.8410	+	26.8896i	−1.47105	+	0.945387i	−0.997925	+	0.0643932i	$0.979489\pi$
$810$	22.4984	−	2.88357i	0.790514	−	0.101318i
$811$	36.5719	+	23.5033i	1.28421	+	0.825314i	0.991401	−	0.130856i	$-0.0417726\pi$
$811$	36.5719	+	23.5033i	1.28421	+	0.825314i	0.292812	+	0.956170i	$0.405409\pi$
$812$	−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	−0.948255	−	0.317508i	$-0.897154\pi$
$821$	−2.50208	+	5.47880i	−0.0873233	+	0.191211i	0.860932	+	0.508720i	$0.169881\pi$
$822$	−2.00807	+	3.12462i	−0.0700394	+	0.108984i
$823$	−52.1911	+	7.50394i	−1.81927	+	0.261571i	−0.965746	−	0.259488i	$-0.916446\pi$
$823$	−52.1911	+	7.50394i	−1.81927	+	0.261571i	−0.853520	+	0.521059i	$0.825537\pi$
$824$	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	$0.243871\pi$
$827$			39.8788i			1.38672i	−0.720590	+	0.693361i	$0.756129\pi$
$828$	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	0.608531	−	0.793530i	$-0.291759\pi$
$839$	20.0280	+	5.88076i	0.691444	+	0.203026i	0.0829137	+	0.996557i	$0.473577\pi$
$840$	−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	−0.953118	−	0.302599i	$-0.902146\pi$
$853$	−9.19707	−	31.3223i	−0.314902	−	1.07246i	0.638216	−	0.769857i	$-0.279673\pi$
$854$	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	−0.579048	−	0.815294i	$-0.696576\pi$
$857$	11.8010	−	18.3627i	0.403115	−	0.627258i	0.982162	+	0.188035i	$0.0602119\pi$
$858$	10.1817	+	4.64983i	0.347598	+	0.158743i
$859$	−5.09027	+	5.87449i	−0.173678	+	0.200435i	−0.835914	−	0.548860i	$-0.815062\pi$
$859$	−5.09027	+	5.87449i	−0.173678	+	0.200435i	0.662236	+	0.749295i	$0.269607\pi$
$860$	−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	−0.971584	−	0.236697i	$-0.923935\pi$
$863$	−0.771653	+	2.62801i	−0.0262674	+	0.0894584i	0.945316	+	0.326155i	$0.105753\pi$
$864$	−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	0.519959	−	0.854191i	$-0.325947\pi$
$877$	42.6282	−	36.9376i	1.43945	−	1.24729i	0.919495	−	0.393102i	$-0.128598\pi$
$878$	−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	−0.0443804	+	0.999015i	$0.514131\pi$
$881$	−22.8644	+	50.0661i	−0.770322	+	1.68677i	−0.725942	+	0.687756i	$0.758596\pi$
$882$	22.2436	+	19.2742i	0.748982	+	0.648997i
$883$	13.3402	+	1.91803i	0.448934	+	0.0645469i	0.363074	−	0.931760i	$-0.381727\pi$
$883$	13.3402	+	1.91803i	0.448934	+	0.0645469i	0.0858597	+	0.996307i	$0.472636\pi$
$884$	−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	−0.781876	−	0.623434i	$-0.785737\pi$
$887$	−24.5032	+	11.1902i	−0.822736	+	0.375731i	−0.0408599	+	0.999165i	$0.513010\pi$
$888$	−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	−0.659242	−	0.751931i	$-0.729123\pi$
$907$	−15.7413	+	7.18882i	−0.522682	+	0.238701i	0.136560	+	0.990632i	$0.456395\pi$
$908$	−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	−0.946486	−	0.322744i	$-0.895395\pi$
$911$	1.58726	−	11.0396i	0.0525881	−	0.365759i	0.999074	−	0.0430146i	$-0.0136962\pi$
$912$	−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	−0.762815	−	0.646617i	$-0.776183\pi$
$929$	4.61075	−	32.0685i	0.151274	−	1.05213i	0.914088	−	0.405515i	$-0.132908\pi$
$930$	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	−0.158062	−	0.987429i	$-0.550525\pi$
$937$	24.6658	−	38.3807i	0.805796	−	1.25384i	0.963859	−	0.266415i	$-0.0858390\pi$
$938$	−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	0.194467	−	0.980909i	$-0.437702\pi$
$941$	27.2518	−	8.00184i	0.888382	−	0.260853i	0.693915	+	0.720056i	$0.255884\pi$
$942$			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	−0.983856	−	0.178964i	$-0.942726\pi$
$947$	−22.7088	−	35.3356i	−0.737938	−	1.14825i	0.245918	−	0.969291i	$-0.420911\pi$
$948$	−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	−0.439169	−	0.898405i	$-0.644727\pi$
$953$	−1.47544	+	0.673811i	−0.0477942	+	0.0218269i	0.391375	+	0.920231i	$0.372000\pi$
$954$	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	$0.0775700\pi$
$967$			15.0065i			0.482577i	−0.970453	+	0.241289i	$0.922430\pi$
$968$	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	0.961021	+	0.276474i	$0.0891661\pi$
$971$	3.64021	+	25.3182i	0.116820	+	0.812501i	−0.844201	+	0.536026i	$0.819925\pi$
$972$	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	−0.918887	−	0.394520i	$-0.870911\pi$
$977$	2.10745	−	7.17733i	0.0674234	−	0.229623i	0.986311	+	0.164897i	$0.0527291\pi$
$978$	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	−0.823261	−	0.567663i	$-0.807848\pi$
$983$	1.10045	−	1.71233i	0.0350988	−	0.0546148i	0.858360	+	0.513048i	$0.171484\pi$
$984$	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	0.341443	−	0.939903i	$-0.389084\pi$
$991$	35.7877	−	10.5082i	1.13683	−	0.333804i	0.795390	+	0.606098i	$0.207266\pi$
$992$	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	0.697873	−	0.716221i	$-0.254130\pi$
$997$	2.78682	+	2.41479i	0.0882594	+	0.0764772i	−0.609614	+	0.792699i	$0.708675\pi$
$998$	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.9.8	yes	120
5.4	even	2	inner	230.2.j.a.9.5	✓	120
23.18	even	11	inner	230.2.j.a.179.5	yes	120
115.64	even	22	inner	230.2.j.a.179.8	yes	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.j.a.9.5	✓	120	5.4	even	2	inner
230.2.j.a.9.8	yes	120	1.1	even	1	trivial
230.2.j.a.179.5	yes	120	23.18	even	11	inner
230.2.j.a.179.8	yes	120	115.64	even	22	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 230 = 2 \cdot 5 \cdot 23 \)
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

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Representations

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Database

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