LMFDB - Embedded newform 600.2.bq.a.67.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [600,2,Mod(67,600)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(600, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([10, 10, 0, 13]))

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

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

chi := DirichletCharacter("600.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 600 = 2^{3} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	600.bq (of order $20$, degree $8$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$4.79102412128$
Analytic rank:	$0$
Dimension:	$480$
Relative dimension:	$60$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			67.2
Character	$\chi$	$=$	600.67
Dual form			600.2.bq.a.403.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.41177 + 0.0830388i) q^{2} +(0.156434 - 0.987688i) q^{3} +(1.98621 - 0.234464i) q^{4} +(1.96811 + 1.06140i) q^{5} +(-0.138834 + 1.40738i) q^{6} +(-0.856582 + 0.856582i) q^{7} +(-2.78461 + 0.495942i) q^{8} +(-0.951057 - 0.309017i) q^{9} +O(q^{10})$	\(q+(-1.41177 + 0.0830388i) q^{2} +(0.156434 - 0.987688i) q^{3} +(1.98621 - 0.234464i) q^{4} +(1.96811 + 1.06140i) q^{5} +(-0.138834 + 1.40738i) q^{6} +(-0.856582 + 0.856582i) q^{7} +(-2.78461 + 0.495942i) q^{8} +(-0.951057 - 0.309017i) q^{9} +(-2.86666 - 1.33502i) q^{10} +(-1.92065 - 5.91117i) q^{11} +(0.0791343 - 1.99843i) q^{12} +(0.762789 - 0.388660i) q^{13} +(1.13817 - 1.28043i) q^{14} +(1.35621 - 1.77784i) q^{15} +(3.89005 - 0.931389i) q^{16} +(-0.413670 - 2.61181i) q^{17} +(1.36834 + 0.357287i) q^{18} +(2.06622 - 2.84391i) q^{19} +(4.15793 + 1.64670i) q^{20} +(0.712037 + 0.980035i) q^{21} +(3.20239 + 8.18574i) q^{22} +(0.352924 - 0.692653i) q^{23} +(0.0542279 + 2.82791i) q^{24} +(2.74688 + 4.17788i) q^{25} +(-1.04461 + 0.612041i) q^{26} +(-0.453990 + 0.891007i) q^{27} +(-1.50051 + 1.90219i) q^{28} +(1.38194 - 1.00404i) q^{29} +(-1.76703 + 2.62252i) q^{30} +(2.90490 - 3.99825i) q^{31} +(-5.41453 + 1.63794i) q^{32} +(-6.13885 + 0.972298i) q^{33} +(0.800889 + 3.65293i) q^{34} +(-2.59501 + 0.776672i) q^{35} +(-1.96145 - 0.390784i) q^{36} +(2.51082 + 4.92777i) q^{37} +(-2.68088 + 4.18653i) q^{38} +(-0.264549 - 0.814198i) q^{39} +(-6.00679 - 1.97950i) q^{40} +(2.82690 - 8.70029i) q^{41} +(-1.08662 - 1.32446i) q^{42} +(5.07323 - 5.07323i) q^{43} +(-5.20078 - 11.2905i) q^{44} +(-1.54379 - 1.61762i) q^{45} +(-0.440732 + 1.00718i) q^{46} +(-0.365537 + 2.30791i) q^{47} +(-0.311383 - 3.98786i) q^{48} +5.53254i q^{49} +(-4.22490 - 5.67012i) q^{50} -2.64436 q^{51} +(1.42393 - 0.950807i) q^{52} +(-2.42214 - 0.383630i) q^{53} +(0.566944 - 1.29560i) q^{54} +(2.49403 - 13.6724i) q^{55} +(1.96043 - 2.81006i) q^{56} +(-2.48567 - 2.48567i) q^{57} +(-1.86761 + 1.53223i) q^{58} +(0.778542 + 0.252964i) q^{59} +(2.27687 - 3.84914i) q^{60} +(10.3860 - 3.37460i) q^{61} +(-3.76905 + 5.88584i) q^{62} +(1.07936 - 0.549959i) q^{63} +(7.50808 - 2.76201i) q^{64} +(1.91377 + 0.0446958i) q^{65} +(8.58592 - 1.88243i) q^{66} +(0.923166 + 5.82864i) q^{67} +(-1.43401 - 5.09060i) q^{68} +(-0.628916 - 0.456934i) q^{69} +(3.59908 - 1.31197i) q^{70} +(-5.67896 - 7.81642i) q^{71} +(2.80157 + 0.388822i) q^{72} +(-10.7369 - 5.47070i) q^{73} +(-3.95391 - 6.74840i) q^{74} +(4.55615 - 2.05950i) q^{75} +(3.43715 - 6.13305i) q^{76} +(6.70859 + 3.41820i) q^{77} +(0.441093 + 1.12749i) q^{78} +(0.323060 - 0.234717i) q^{79} +(8.64461 + 2.29581i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-3.26847 + 12.5176i) q^{82} +(-1.28269 + 0.203158i) q^{83} +(1.64404 + 1.77961i) q^{84} +(1.95801 - 5.57938i) q^{85} +(-6.74098 + 7.58353i) q^{86} +(-0.775493 - 1.52199i) q^{87} +(8.27987 + 15.5077i) q^{88} +(-11.7705 + 3.82446i) q^{89} +(2.31381 + 2.15553i) q^{90} +(-0.320472 + 0.986310i) q^{91} +(0.538579 - 1.45850i) q^{92} +(-3.49460 - 3.49460i) q^{93} +(0.324409 - 3.28860i) q^{94} +(7.08505 - 3.40403i) q^{95} +(0.770750 + 5.60410i) q^{96} +(12.6834 + 2.00885i) q^{97} +(-0.459415 - 7.81069i) q^{98} +6.21537i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 480 q + 12 q^{8}+O(q^{10}) $ 480 * q + 12 * q^8	$ 480 q + 12 q^{8} - 8 q^{10} + 8 q^{12} - 8 q^{17} + 20 q^{20} + 28 q^{22} + 8 q^{25} - 4 q^{28} - 8 q^{30} - 20 q^{32} + 48 q^{35} + 20 q^{38} - 108 q^{40} - 20 q^{42} + 32 q^{43} - 140 q^{44} - 16 q^{48} + 124 q^{50} - 132 q^{52} + 152 q^{58} - 20 q^{60} + 116 q^{62} - 60 q^{64} + 8 q^{65} - 48 q^{67} - 72 q^{68} - 4 q^{70} - 12 q^{72} + 40 q^{73} + 24 q^{78} - 76 q^{80} + 120 q^{81} - 64 q^{82} - 80 q^{83} - 80 q^{84} - 132 q^{88} + 200 q^{89} - 48 q^{90} - 216 q^{92} - 40 q^{94} + 20 q^{96} - 56 q^{97} - 192 q^{98}+O(q^{100}) $ 480 * q + 12 * q^8 - 8 * q^10 + 8 * q^12 - 8 * q^17 + 20 * q^20 + 28 * q^22 + 8 * q^25 - 4 * q^28 - 8 * q^30 - 20 * q^32 + 48 * q^35 + 20 * q^38 - 108 * q^40 - 20 * q^42 + 32 * q^43 - 140 * q^44 - 16 * q^48 + 124 * q^50 - 132 * q^52 + 152 * q^58 - 20 * q^60 + 116 * q^62 - 60 * q^64 + 8 * q^65 - 48 * q^67 - 72 * q^68 - 4 * q^70 - 12 * q^72 + 40 * q^73 + 24 * q^78 - 76 * q^80 + 120 * q^81 - 64 * q^82 - 80 * q^83 - 80 * q^84 - 132 * q^88 + 200 * q^89 - 48 * q^90 - 216 * q^92 - 40 * q^94 + 20 * q^96 - 56 * q^97 - 192 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/600\mathbb{Z}\right)^\times$.

$n$	$151$	$301$	$401$	$577$
$\chi(n)$	$-1$	$-1$	$1$	$e\left(\frac{13}{20}\right)$

Coefficient data

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

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

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

$2$	−1.41177	+	0.0830388i	−0.998275	+	0.0587173i
$2$	−1.41177	+	0.0830388i	−0.998275	+	0.0587173i
$3$	0.156434	−	0.987688i	0.0903175	−	0.570242i
$3$	0.156434	−	0.987688i	0.0903175	−	0.570242i
$4$	1.98621	−	0.234464i	0.993105	−	0.117232i
$5$	1.96811	+	1.06140i	0.880164	+	0.474670i
$5$	1.96811	+	1.06140i	0.880164	+	0.474670i
$6$	−0.138834	+	1.40738i	−0.0566786	+	0.574561i
$7$	−0.856582	+	0.856582i	−0.323757	+	0.323757i	−0.850207	−	0.526449i	$-0.823523\pi$
$7$	−0.856582	+	0.856582i	−0.323757	+	0.323757i	0.526449	+	0.850207i	$0.323523\pi$
$8$	−2.78461	+	0.495942i	−0.984508	+	0.175342i
$9$	−0.951057	−	0.309017i	−0.317019	−	0.103006i
$10$	−2.86666	−	1.33502i	−0.906516	−	0.422171i
$11$	−1.92065	−	5.91117i	−0.579099	−	1.78228i	−0.621776	−	0.783195i	$-0.713589\pi$
$11$	−1.92065	−	5.91117i	−0.579099	−	1.78228i	0.0426774	−	0.999089i	$-0.486411\pi$
$12$	0.0791343	−	1.99843i	0.0228441	−	0.576898i
$13$	0.762789	−	0.388660i	0.211560	−	0.107795i	−0.345000	−	0.938603i	$-0.612121\pi$
$13$	0.762789	−	0.388660i	0.211560	−	0.107795i	0.556560	+	0.830808i	$0.312121\pi$
$14$	1.13817	−	1.28043i	0.304189	−	0.342209i
$15$	1.35621	−	1.77784i	0.350171	−	0.459035i
$16$	3.89005	−	0.931389i	0.972513	−	0.232847i
$17$	−0.413670	−	2.61181i	−0.100330	−	0.633456i	−0.985692	−	0.168555i	$-0.946090\pi$
$17$	−0.413670	−	2.61181i	−0.100330	−	0.633456i	0.885363	−	0.464901i	$-0.153910\pi$
$18$	1.36834	+	0.357287i	0.322520	+	0.0842135i
$19$	2.06622	−	2.84391i	0.474023	−	0.652437i	−0.503319	−	0.864100i	$-0.667888\pi$
$19$	2.06622	−	2.84391i	0.474023	−	0.652437i	0.977343	+	0.211664i	$0.0678881\pi$
$20$	4.15793	+	1.64670i	0.929741	+	0.368214i
$21$	0.712037	+	0.980035i	0.155379	+	0.213861i
$22$	3.20239	+	8.18574i	0.682751	+	1.74521i
$23$	0.352924	−	0.692653i	0.0735898	−	0.144428i	−0.851280	−	0.524711i	$-0.824173\pi$
$23$	0.352924	−	0.692653i	0.0735898	−	0.144428i	0.924870	+	0.380283i	$0.124173\pi$
$24$	0.0542279	+	2.82791i	0.0110692	+	0.577244i
$25$	2.74688	+	4.17788i	0.549376	+	0.835575i
$26$	−1.04461	+	0.612041i	−0.204865	+	0.120031i
$27$	−0.453990	+	0.891007i	−0.0873705	+	0.171474i
$28$	−1.50051	+	1.90219i	−0.283570	+	0.359480i
$29$	1.38194	−	1.00404i	0.256619	−	0.186445i	−0.452036	−	0.892000i	$-0.649302\pi$
$29$	1.38194	−	1.00404i	0.256619	−	0.186445i	0.708655	+	0.705555i	$0.249302\pi$
$30$	−1.76703	+	2.62252i	−0.322614	+	0.478804i
$31$	2.90490	−	3.99825i	0.521735	−	0.718106i	−0.464108	−	0.885779i	$-0.653625\pi$
$31$	2.90490	−	3.99825i	0.521735	−	0.718106i	0.985843	+	0.167672i	$0.0536250\pi$
$32$	−5.41453	+	1.63794i	−0.957163	+	0.289549i
$33$	−6.13885	+	0.972298i	−1.06864	+	0.169255i
$34$	0.800889	+	3.65293i	0.137351	+	0.626472i
$35$	−2.59501	+	0.776672i	−0.438638	+	0.131281i
$36$	−1.96145	−	0.390784i	−0.326908	−	0.0651307i
$37$	2.51082	+	4.92777i	0.412777	+	0.810120i	1.00000		0.000694770i	$0.000221152\pi$
$37$	2.51082	+	4.92777i	0.412777	+	0.810120i	−0.587223	+	0.809425i	$0.699779\pi$
$38$	−2.68088	+	4.18653i	−0.434896	+	0.679144i
$39$	−0.264549	−	0.814198i	−0.0423617	−	0.130376i
$40$	−6.00679	−	1.97950i	−0.949757	−	0.312987i
$41$	2.82690	−	8.70029i	0.441487	−	1.35876i	−0.444804	−	0.895628i	$-0.646727\pi$
$41$	2.82690	−	8.70029i	0.441487	−	1.35876i	0.886291	−	0.463129i	$-0.153273\pi$
$42$	−1.08662	−	1.32446i	−0.167668	−	0.204369i
$43$	5.07323	−	5.07323i	0.773660	−	0.773660i	−0.205084	−	0.978744i	$-0.565747\pi$
$43$	5.07323	−	5.07323i	0.773660	−	0.773660i	0.978744	+	0.205084i	$0.0657468\pi$
$44$	−5.20078	−	11.2905i	−0.784047	−	1.70211i
$45$	−1.54379	−	1.61762i	−0.230135	−	0.241141i
$46$	−0.440732	+	1.00718i	−0.0649824	+	0.148500i
$47$	−0.365537	+	2.30791i	−0.0533190	+	0.336643i	0.946581	+	0.322468i	$0.104512\pi$
$47$	−0.365537	+	2.30791i	−0.0533190	+	0.336643i	−0.999900	+	0.0141754i	$0.995488\pi$
$48$	−0.311383	−	3.98786i	−0.0449443	−	0.575598i
$49$			5.53254i			0.790362i
$50$	−4.22490	−	5.67012i	−0.597491	−	0.801876i
$51$	−2.64436			−0.370285
$52$	1.42393	−	0.950807i	0.197464	−	0.131853i
$53$	−2.42214	−	0.383630i	−0.332707	−	0.0526956i	−0.0121538	−	0.999926i	$-0.503869\pi$
$53$	−2.42214	−	0.383630i	−0.332707	−	0.0526956i	−0.320553	+	0.947231i	$0.603869\pi$
$54$	0.566944	−	1.29560i	0.0771513	−	0.176309i
$55$	2.49403	−	13.6724i	0.336295	−	1.84358i
$56$	1.96043	−	2.81006i	0.261973	−	0.375510i
$57$	−2.48567	−	2.48567i	−0.329234	−	0.329234i
$58$	−1.86761	+	1.53223i	−0.245229	+	0.201191i
$59$	0.778542	+	0.252964i	0.101358	+	0.0329330i	0.359257	−	0.933239i	$-0.383030\pi$
$59$	0.778542	+	0.252964i	0.101358	+	0.0329330i	−0.257899	+	0.966172i	$0.583030\pi$
$60$	2.27687	−	3.84914i	0.293943	−	0.496921i
$61$	10.3860	−	3.37460i	1.32979	−	0.432074i	0.443942	−	0.896056i	$-0.353580\pi$
$61$	10.3860	−	3.37460i	1.32979	−	0.432074i	0.885845	+	0.463982i	$0.153580\pi$
$62$	−3.76905	+	5.88584i	−0.478669	+	0.747502i
$63$	1.07936	−	0.549959i	0.135986	−	0.0692884i
$64$	7.50808	−	2.76201i	0.938510	−	0.345251i
$65$	1.91377	+	0.0446958i	0.237374	+	0.00554383i
$66$	8.58592	−	1.88243i	1.05685	−	0.231711i
$67$	0.923166	+	5.82864i	0.112783	+	0.712081i	0.977675	+	0.210124i	$0.0673867\pi$
$67$	0.923166	+	5.82864i	0.112783	+	0.712081i	−0.864892	+	0.501958i	$0.832613\pi$
$68$	−1.43401	−	5.09060i	−0.173899	−	0.617326i
$69$	−0.628916	−	0.456934i	−0.0757126	−	0.0550084i
$70$	3.59908	−	1.31197i	0.430172	−	0.156811i
$71$	−5.67896	−	7.81642i	−0.673969	−	0.927639i	0.325873	−	0.945414i	$-0.394342\pi$
$71$	−5.67896	−	7.81642i	−0.673969	−	0.927639i	−0.999842	+	0.0177748i	$0.994342\pi$
$72$	2.80157	+	0.388822i	0.330169	+	0.0458231i
$73$	−10.7369	−	5.47070i	−1.25665	−	0.640297i	−0.306439	−	0.951890i	$-0.599137\pi$
$73$	−10.7369	−	5.47070i	−1.25665	−	0.640297i	−0.950216	+	0.311593i	$0.899137\pi$
$74$	−3.95391	−	6.74840i	−0.459633	−	0.784485i
$75$	4.55615	−	2.05950i	0.526098	−	0.237810i
$76$	3.43715	−	6.13305i	0.394268	−	0.703509i
$77$	6.70859	+	3.41820i	0.764515	+	0.389540i
$78$	0.441093	+	1.12749i	0.0499439	+	0.127664i
$79$	0.323060	−	0.234717i	0.0363471	−	0.0264077i	−0.569463	−	0.822017i	$-0.692849\pi$
$79$	0.323060	−	0.234717i	0.0363471	−	0.0264077i	0.605810	+	0.795609i	$0.292849\pi$
$80$	8.64461	+	2.29581i	0.966497	+	0.256680i
$81$	0.809017	+	0.587785i	0.0898908	+	0.0653095i
$82$	−3.26847	+	12.5176i	−0.360943	+	1.38234i
$83$	−1.28269	+	0.203158i	−0.140794	+	0.0222995i	−0.226433	−	0.974027i	$-0.572707\pi$
$83$	−1.28269	+	0.203158i	−0.140794	+	0.0222995i	0.0856398	+	0.996326i	$0.472707\pi$
$84$	1.64404	+	1.77961i	0.179379	+	0.194171i
$85$	1.95801	−	5.57938i	0.212376	−	0.605169i
$86$	−6.74098	+	7.58353i	−0.726898	+	0.817753i
$87$	−0.775493	−	1.52199i	−0.0831415	−	0.163174i
$88$	8.27987	+	15.5077i	0.882637	+	1.65313i
$89$	−11.7705	+	3.82446i	−1.24767	+	0.405392i	−0.857085	−	0.515175i	$-0.827727\pi$
$89$	−11.7705	+	3.82446i	−1.24767	+	0.405392i	−0.390584	+	0.920567i	$0.627727\pi$
$90$	2.31381	+	2.15553i	0.243897	+	0.227212i
$91$	−0.320472	+	0.986310i	−0.0335946	+	0.103393i
$92$	0.538579	−	1.45850i	0.0561508	−	0.152059i
$93$	−3.49460	−	3.49460i	−0.362373	−	0.362373i
$94$	0.324409	−	3.28860i	0.0334602	−	0.339193i
$95$	7.08505	−	3.40403i	0.726910	−	0.349246i
$96$	0.770750	+	5.60410i	0.0786644	+	0.571966i
$97$	12.6834	+	2.00885i	1.28781	+	0.203968i	0.762524	−	0.646960i	$-0.223960\pi$
$97$	12.6834	+	2.00885i	1.28781	+	0.203968i	0.525281	+	0.850929i	$0.323960\pi$
$98$	−0.459415	−	7.81069i	−0.0464079	−	0.788999i
$99$			6.21537i			0.624668i
$100$	6.43544	+	7.65409i	0.643544	+	0.765409i
$101$			14.7399i			1.46668i	0.679864	+	0.733339i	$0.262039\pi$
$101$			14.7399i			1.46668i	−0.679864	+	0.733339i	$0.737961\pi$
$102$	3.73324	−	0.219585i	0.369646	−	0.0217421i
$103$	−16.7454	−	2.65221i	−1.64997	−	0.261330i	−0.738973	−	0.673735i	$-0.764689\pi$
$103$	−16.7454	−	2.65221i	−1.64997	−	0.261330i	−0.911001	+	0.412405i	$0.864689\pi$
$104$	−1.93131	+	1.46057i	−0.189381	+	0.143220i
$105$	0.361160	+	2.68456i	0.0352456	+	0.261987i
$106$	3.45137	+	0.340467i	0.335227	+	0.0330690i
$107$	7.32111	+	7.32111i	0.707759	+	0.707759i	0.966063	−	0.258305i	$-0.0831639\pi$
$107$	7.32111	+	7.32111i	0.707759	+	0.707759i	−0.258305	+	0.966063i	$0.583164\pi$
$108$	−0.692811	+	1.87617i	−0.0666658	+	0.180535i
$109$	2.15320	−	6.62687i	0.206239	−	0.634739i	−0.793421	−	0.608673i	$-0.791702\pi$
$109$	2.15320	−	6.62687i	0.206239	−	0.634739i	0.999660	−	0.0260656i	$-0.00829788\pi$
$110$	−2.38567	+	19.5094i	−0.227465	+	1.86015i
$111$	5.25988	−	1.70904i	0.499245	−	0.162215i
$112$	−2.53434	+	4.12996i	−0.239472	+	0.390244i
$113$	−2.66598	−	5.23229i	−0.250795	−	0.492212i	0.730946	−	0.682435i	$-0.239079\pi$
$113$	−2.66598	−	5.23229i	−0.250795	−	0.492212i	−0.981741	+	0.190223i	$0.939079\pi$
$114$	3.71560	+	3.30279i	0.347998	+	0.309335i
$115$	1.42977	−	0.988622i	0.133327	−	0.0921895i
$116$	2.50941	−	2.31824i	0.232993	−	0.215243i
$117$	−0.845558	+	0.133923i	−0.0781719	+	0.0123812i
$118$	−1.12013	−	0.292478i	−0.103116	−	0.0269248i
$119$	2.59157	+	1.88288i	0.237569	+	0.172604i
$120$	−2.89480	+	5.62318i	−0.264258	+	0.513324i
$121$	−22.3538	+	16.2410i	−2.03216	+	1.47645i
$122$	−14.3824	+	5.62662i	−1.30212	+	0.509410i
$123$	−8.15095	−	4.15312i	−0.734946	−	0.374474i
$124$	4.83229	−	8.62245i	0.433952	−	0.774319i
$125$	0.971774	+	11.1380i	0.0869181	+	0.996215i
$126$	−1.47814	+	0.866046i	−0.131683	+	0.0771535i
$127$	−18.6429	−	9.49905i	−1.65429	−	0.842905i	−0.995923	−	0.0902106i	$-0.971246\pi$
$127$	−18.6429	−	9.49905i	−1.65429	−	0.842905i	−0.658371	−	0.752694i	$-0.728754\pi$
$128$	−10.3704	+	4.52279i	−0.916619	+	0.399762i
$129$	−4.21714	−	5.80440i	−0.371299	−	0.511049i
$130$	−2.70552	+	0.0958169i	−0.237290	+	0.00840370i
$131$	−0.615538	−	0.447214i	−0.0537798	−	0.0390733i	0.560571	−	0.828107i	$-0.310582\pi$
$131$	−0.615538	−	0.447214i	−0.0537798	−	0.0390733i	−0.614350	+	0.789033i	$0.710582\pi$
$132$	−11.9651	+	3.37052i	−1.04143	+	0.293367i
$133$	0.666153	+	4.20592i	0.0577628	+	0.364700i
$134$	−1.78730	−	8.15206i	−0.154400	−	0.704231i
$135$	−1.83921	+	1.27173i	−0.158294	+	0.109453i
$136$	2.44721	+	7.06770i	0.209847	+	0.606050i
$137$	6.08861	−	3.10230i	0.520185	−	0.265047i	−0.174125	−	0.984724i	$-0.555710\pi$
$137$	6.08861	−	3.10230i	0.520185	−	0.265047i	0.694310	+	0.719676i	$0.255710\pi$
$138$	0.925830	+	0.592863i	0.0788119	+	0.0504679i
$139$	8.75668	−	2.84522i	0.742732	−	0.241328i	0.0868811	−	0.996219i	$-0.472310\pi$
$139$	8.75668	−	2.84522i	0.742732	−	0.241328i	0.655851	+	0.754890i	$0.272310\pi$
$140$	−4.97214	+	2.15107i	−0.420223	+	0.181799i
$141$	2.22231	+	0.722073i	0.187152	+	0.0608095i
$142$	8.66648	+	10.5634i	0.727275	+	0.886465i
$143$	−3.76249	−	3.76249i	−0.314635	−	0.314635i
$144$	−3.98748	−	0.316289i	−0.332290	−	0.0263574i
$145$	3.78548	−	0.509268i	0.314367	−	0.0422924i
$146$	15.6123	+	6.83182i	1.29208	+	0.565405i
$147$	5.46442	+	0.865479i	0.450698	+	0.0713835i
$148$	6.14240	+	9.19888i	0.504902	+	0.756143i
$149$	9.99935			0.819179			0.409589	−	0.912270i	$-0.365672\pi$
$149$	9.99935			0.819179			0.409589	+	0.912270i	$0.365672\pi$
$150$	−6.26123	+	3.28588i	−0.511227	+	0.268291i
$151$			24.2941i			1.97703i	0.151138	+	0.988513i	$0.451706\pi$
$151$			24.2941i			1.97703i	−0.151138	+	0.988513i	$0.548294\pi$
$152$	−4.34320	+	8.94389i	−0.352280	+	0.725445i
$153$	−0.413670	+	2.61181i	−0.0334432	+	0.211152i
$154$	−9.75486	−	4.26865i	−0.786069	−	0.343978i
$155$	9.96086	−	4.78573i	0.800076	−	0.384399i
$156$	−0.716349	−	1.55514i	−0.0573538	−	0.124511i
$157$	−7.73329	+	7.73329i	−0.617184	+	0.617184i	−0.944808	−	0.327624i	$-0.893752\pi$
$157$	−7.73329	+	7.73329i	−0.617184	+	0.617184i	0.327624	+	0.944808i	$0.393752\pi$
$158$	−0.436597	+	0.358194i	−0.0347338	+	0.0284964i
$159$	−0.757813	+	2.33231i	−0.0600985	+	0.184964i
$160$	−12.3949	−	2.52333i	−0.979901	−	0.199487i
$161$	0.291005	+	0.895622i	0.0229344	+	0.0705849i
$162$	−1.19096	−	0.762640i	−0.0935705	−	0.0599186i
$163$	−0.193086	−	0.378952i	−0.0151237	−	0.0296818i	0.883321	−	0.468768i	$-0.155302\pi$
$163$	−0.193086	−	0.378952i	−0.0151237	−	0.0296818i	−0.898445	+	0.439087i	$0.855302\pi$
$164$	3.57490	−	17.9434i	0.279153	−	1.40114i
$165$	−13.1139	−	4.60216i	−1.02092	−	0.358277i
$166$	1.79400	−	0.393327i	0.139241	−	0.0305281i
$167$	19.9939	−	3.16672i	1.54718	−	0.245048i	0.676327	−	0.736601i	$-0.263571\pi$
$167$	19.9939	−	3.16672i	1.54718	−	0.245048i	0.870848	+	0.491553i	$0.163571\pi$
$168$	−2.46878	−	2.37588i	−0.190471	−	0.183303i
$169$	−7.21042	+	9.92429i	−0.554648	+	0.763407i
$170$	−2.30097	+	8.03941i	−0.176476	+	0.616595i
$171$	−2.84391	+	2.06622i	−0.217479	+	0.158008i
$172$	8.88701	−	11.2660i	0.677628	−	0.859023i
$173$	−8.20376	+	16.1008i	−0.623720	+	1.22412i	0.335654	+	0.941985i	$0.391043\pi$
$173$	−8.20376	+	16.1008i	−0.623720	+	1.22412i	−0.959375	+	0.282135i	$0.908957\pi$
$174$	1.22120	+	2.08431i	0.0925793	+	0.158011i
$175$	−5.93162	−	1.22576i	−0.448388	−	0.0926591i
$176$	−12.9770	−	21.2059i	−0.978181	−	1.59845i
$177$	0.371640	−	0.729384i	0.0279342	−	0.0548239i
$178$	16.2997	−	6.37668i	1.22171	−	0.477952i
$179$	9.69942	+	13.3501i	0.724969	+	0.997834i	0.999344	+	0.0362113i	$0.0115289\pi$
$179$	9.69942	+	13.3501i	0.724969	+	0.997834i	−0.274375	+	0.961623i	$0.588471\pi$
$180$	−3.44557	−	2.85098i	−0.256817	−	0.212499i
$181$	−10.1315	+	13.9449i	−0.753072	+	1.03651i	0.244687	+	0.969602i	$0.421315\pi$
$181$	−10.1315	+	13.9449i	−0.753072	+	1.03651i	−0.997759	+	0.0669124i	$0.978685\pi$
$182$	0.370531	−	1.41906i	0.0274656	−	0.105188i
$183$	−1.70833	−	10.7860i	−0.126284	−	0.797324i
$184$	−0.639240	+	2.10380i	−0.0471254	+	0.155094i
$185$	−0.288744	+	12.3633i	−0.0212289	+	0.908971i
$186$	5.22377	+	4.64339i	0.383025	+	0.340470i
$187$	−14.6443	+	7.46165i	−1.07090	+	0.545650i
$188$	−0.184911	+	4.66969i	−0.0134860	+	0.340572i
$189$	−0.374340	−	1.15210i	−0.0272292	−	0.0838029i
$190$	−9.71981	+	5.39406i	−0.705149	+	0.391326i
$191$	23.4412	+	7.61649i	1.69614	+	0.551110i	0.987932	−	0.154891i	$-0.0495027\pi$
$191$	23.4412	+	7.61649i	1.69614	+	0.551110i	0.708211	+	0.706001i	$0.249503\pi$
$192$	−1.55348	−	7.84772i	−0.112113	−	0.566360i
$193$	16.3279	−	16.3279i	1.17531	−	1.17531i	0.194386	−	0.980925i	$-0.437729\pi$
$193$	16.3279	−	16.3279i	1.17531	−	1.17531i	0.980925	−	0.194386i	$-0.0622715\pi$
$194$	−18.0729	−	1.78283i	−1.29756	−	0.128000i
$195$	0.343525	−	1.88322i	0.0246004	−	0.134860i
$196$	1.29718	+	10.9888i	0.0926557	+	0.784912i
$197$	−0.640219	+	4.04218i	−0.0456137	+	0.287994i	−0.999942	−	0.0107662i	$-0.996573\pi$
$197$	−0.640219	+	4.04218i	−0.0456137	+	0.287994i	0.954328	+	0.298760i	$0.0965729\pi$
$198$	−0.516117	−	8.77469i	−0.0366788	−	0.623590i
$199$	1.73650			0.123097			0.0615486	−	0.998104i	$-0.480396\pi$
$199$	1.73650			0.123097			0.0615486	+	0.998104i	$0.480396\pi$
$200$	−9.72097	−	10.2715i	−0.687376	−	0.726301i
$201$	5.90129			0.416245
$202$	−1.22399	−	20.8094i	−0.0861193	−	1.46415i
$203$	−0.323703	+	2.04378i	−0.0227195	+	0.143445i
$204$	−5.25226	+	0.620008i	−0.367732	+	0.0434092i
$205$	14.7981	−	14.1226i	1.03354	−	0.986368i
$206$	23.8610	+	2.35380i	1.66247	+	0.163997i
$207$	−0.549693	+	0.549693i	−0.0382063	+	0.0382063i
$208$	2.60530	−	2.22236i	0.180645	−	0.154093i
$209$	−20.7793	−	6.75160i	−1.43733	−	0.467018i
$210$	−0.732799	−	3.76001i	−0.0505679	−	0.259465i
$211$	−4.36603	−	13.4373i	−0.300570	−	0.925059i	−0.981293	−	0.192518i	$-0.938334\pi$
$211$	−4.36603	−	13.4373i	−0.300570	−	0.925059i	0.680723	−	0.732540i	$-0.261666\pi$
$212$	−4.90083	−	0.194064i	−0.336590	−	0.0133284i
$213$	−8.60858	+	4.38629i	−0.589850	+	0.300544i
$214$	−10.9437	−	9.72782i	−0.748095	−	0.664980i
$215$	15.3694	−	4.59995i	1.04818	−	0.313714i
$216$	0.822298	−	2.70626i	0.0559503	−	0.184137i
$217$	0.936544	+	5.91311i	0.0635768	+	0.401408i
$218$	−2.48954	+	9.53443i	−0.168613	+	0.645753i
$219$	−7.08296	+	9.74886i	−0.478622	+	0.658767i
$220$	1.74799	−	27.7410i	0.117850	−	1.87029i
$221$	−1.33065	−	1.83148i	−0.0895091	−	0.123199i
$222$	−7.28384	+	2.84955i	−0.488859	+	0.191249i
$223$	−4.15808	+	8.16068i	−0.278445	+	0.546480i	−0.987298	−	0.158876i	$-0.949213\pi$
$223$	−4.15808	+	8.16068i	−0.278445	+	0.546480i	0.708853	+	0.705356i	$0.249213\pi$
$224$	3.23496	−	6.04102i	0.216145	−	0.403632i
$225$	−1.32140	−	4.82223i	−0.0880936	−	0.321482i
$226$	4.19825	+	7.16543i	0.279263	+	0.476637i
$227$	−1.95513	+	3.83716i	−0.129767	+	0.254682i	−0.946743	−	0.321989i	$-0.895648\pi$
$227$	−1.95513	+	3.83716i	−0.129767	+	0.254682i	0.816977	+	0.576671i	$0.195648\pi$
$228$	−5.51985	−	4.35425i	−0.365561	−	0.288367i
$229$	−5.78119	+	4.20028i	−0.382032	+	0.277562i	−0.762183	−	0.647362i	$-0.775872\pi$
$229$	−5.78119	+	4.20028i	−0.382032	+	0.277562i	0.380151	+	0.924925i	$0.375872\pi$
$230$	−1.93642	+	1.51444i	−0.127684	+	0.0998590i
$231$	4.42557	−	6.09128i	0.291181	−	0.400777i
$232$	−3.35021	+	3.48121i	−0.219952	+	0.228553i
$233$	13.9288	−	2.20611i	0.912507	−	0.144527i	0.317510	−	0.948255i	$-0.397153\pi$
$233$	13.9288	−	2.20611i	0.912507	−	0.144527i	0.594997	+	0.803728i	$0.297153\pi$
$234$	1.18262	−	0.259283i	0.0773100	−	0.0169499i
$235$	−3.16902	+	4.15423i	−0.206724	+	0.270992i
$236$	1.60566	+	0.319899i	0.104519	+	0.0208236i
$237$	−0.181290	−	0.355801i	−0.0117760	−	0.0231117i
$238$	−3.81506	−	2.44301i	−0.247294	−	0.158357i
$239$	−1.73986	−	5.35472i	−0.112542	−	0.346368i	0.878885	−	0.477035i	$-0.158288\pi$
$239$	−1.73986	−	5.35472i	−0.112542	−	0.346368i	−0.991426	+	0.130666i	$0.958288\pi$
$240$	3.61986	−	8.17903i	0.233661	−	0.527954i
$241$	−2.47664	+	7.62233i	−0.159535	+	0.490997i	−0.998592	−	0.0530456i	$-0.983107\pi$
$241$	−2.47664	+	7.62233i	−0.159535	+	0.490997i	0.839057	+	0.544043i	$0.183107\pi$
$242$	30.2099	−	24.7848i	1.94196	−	1.59323i
$243$	0.707107	−	0.707107i	0.0453609	−	0.0453609i
$244$	19.8375	−	9.13780i	1.26996	−	0.584988i
$245$	−5.87221	+	10.8886i	−0.375162	+	0.695648i
$246$	11.8522	+	5.18642i	0.755667	+	0.330674i
$247$	0.470775	−	2.97236i	0.0299547	−	0.189127i
$248$	−6.10610	+	12.5742i	−0.387738	+	0.798463i
$249$			1.29868i			0.0823005i
$250$	−2.29681	−	15.6437i	−0.145263	−	0.989393i
$251$	3.83903			0.242317			0.121159	−	0.992633i	$-0.461339\pi$
$251$	3.83903			0.242317			0.121159	+	0.992633i	$0.461339\pi$
$252$	2.01488	−	1.34540i	0.126926	−	0.0847525i
$253$	−4.77223	−	0.755847i	−0.300028	−	0.0475197i
$254$	27.1084	+	11.8624i	1.70093	+	0.744315i
$255$	−5.20439	−	2.80671i	−0.325911	−	0.175763i
$256$	14.2650	−	7.24630i	0.891564	−	0.452894i
$257$	8.93114	+	8.93114i	0.557109	+	0.557109i	0.928483	−	0.371374i	$-0.121113\pi$
$257$	8.93114	+	8.93114i	0.557109	+	0.557109i	−0.371374	+	0.928483i	$0.621113\pi$
$258$	6.43564	+	7.84431i	0.400665	+	0.488365i
$259$	−6.37176	−	2.07031i	−0.395922	−	0.128643i
$260$	3.81163	−	0.359935i	0.236387	−	0.0223222i
$261$	−1.62457	+	0.527853i	−0.100558	+	0.0326733i
$262$	0.906136	+	0.580252i	0.0559813	+	0.0358481i
$263$	−23.9552	+	12.2058i	−1.47714	+	0.752640i	−0.992520	−	0.122085i	$-0.961042\pi$
$263$	−23.9552	+	12.2058i	−1.47714	+	0.752640i	−0.484620	+	0.874725i	$0.661042\pi$
$264$	16.6121	−	5.75198i	1.02240	−	0.354010i
$265$	−4.35985	−	3.32588i	−0.267824	−	0.204307i
$266$	−1.28971	−	5.88249i	−0.0790773	−	0.360679i
$267$	1.93607	+	12.2238i	0.118485	+	0.748087i
$268$	3.20021	+	11.3604i	0.195484	+	0.693950i
$269$	−11.1823	−	8.12439i	−0.681795	−	0.495353i	0.192158	−	0.981364i	$-0.438451\pi$
$269$	−11.1823	−	8.12439i	−0.681795	−	0.495353i	−0.873953	+	0.486011i	$0.838451\pi$
$270$	2.49095	−	1.94812i	0.151594	−	0.118559i
$271$	−7.87236	−	10.8354i	−0.478212	−	0.658202i	0.499948	−	0.866055i	$-0.333352\pi$
$271$	−7.87236	−	10.8354i	−0.478212	−	0.658202i	−0.978160	+	0.207853i	$0.933352\pi$
$272$	−4.04180	−	9.77478i	−0.245070	−	0.592683i
$273$	0.924034	+	0.470819i	0.0559251	+	0.0284953i
$274$	−8.33812	+	4.88534i	−0.503724	+	0.295134i
$275$	19.4203	−	24.2615i	1.17109	−	1.46302i
$276$	−1.35629	−	0.760109i	−0.0816392	−	0.0457532i
$277$	14.7244	+	7.50247i	0.884705	+	0.450780i	0.836442	−	0.548055i	$-0.184632\pi$
$277$	14.7244	+	7.50247i	0.884705	+	0.450780i	0.0482627	+	0.998835i	$0.484632\pi$
$278$	−12.1262	+	4.74395i	−0.727280	+	0.284523i
$279$	−3.99825	+	2.90490i	−0.239369	+	0.173912i
$280$	6.84091	−	3.44970i	0.408823	−	0.206159i
$281$	3.60055	+	2.61595i	0.214791	+	0.156055i	0.689979	−	0.723830i	$-0.257620\pi$
$281$	3.60055	+	2.61595i	0.214791	+	0.156055i	−0.475188	+	0.879884i	$0.657620\pi$
$282$	−3.19736	−	0.834865i	−0.190400	−	0.0497155i
$283$	27.1338	−	4.29756i	1.61293	−	0.255464i	0.716155	−	0.697941i	$-0.245900\pi$
$283$	27.1338	−	4.29756i	1.61293	−	0.255464i	0.896779	+	0.442478i	$0.145900\pi$
$284$	−13.1123	−	14.1935i	−0.778071	−	0.842232i
$285$	−2.25378	−	7.53032i	−0.133502	−	0.446058i
$286$	5.62422	+	4.99935i	0.332567	+	0.295618i
$287$	5.03104	+	9.87398i	0.296973	+	0.582842i
$288$	5.65568	+	0.115414i	0.333264	+	0.00680081i
$289$	9.51755	−	3.09244i	0.559856	−	0.181908i
$290$	−5.30195	+	1.03331i	−0.311341	+	0.0606782i
$291$	3.96824	−	12.2130i	0.232623	−	0.715939i
$292$	−22.6083	−	8.34855i	−1.32305	−	0.488562i
$293$	0.243488	+	0.243488i	0.0142247	+	0.0142247i	0.714183	−	0.699959i	$-0.246798\pi$
$293$	0.243488	+	0.243488i	0.0142247	+	0.0142247i	−0.699959	+	0.714183i	$0.746798\pi$
$294$	−7.78639	−	0.768102i	−0.454112	−	0.0447966i
$295$	1.26376	+	1.32420i	0.0735788	+	0.0770979i
$296$	−9.43555	−	12.4767i	−0.548430	−	0.725192i
$297$	6.13885	+	0.972298i	0.356212	+	0.0564184i
$298$	−14.1168	+	0.830334i	−0.817765	+	0.0480999i
$299$		−	0.665516i		−	0.0384878i
$300$	8.56658	−	5.15885i	0.494592	−	0.297846i
$301$			8.69127i			0.500957i
$302$	−2.01735	−	34.2978i	−0.116086	−	1.97361i
$303$	14.5585	+	2.30583i	0.836361	+	0.132467i
$304$	5.38892	−	12.9874i	0.309076	−	0.744878i
$305$	24.0225	+	4.38203i	1.37552	+	0.250915i
$306$	0.367127	−	3.72163i	0.0209872	−	0.212751i
$307$	−7.97462	−	7.97462i	−0.455135	−	0.455135i	0.441919	−	0.897055i	$-0.354298\pi$
$307$	−7.97462	−	7.97462i	−0.455135	−	0.455135i	−0.897055	+	0.441919i	$0.854298\pi$
$308$	14.1261	+	5.21634i	0.804910	+	0.297228i
$309$	−5.23912	+	16.1243i	−0.298043	+	0.917282i
$310$	−13.6651	+	7.58351i	−0.776125	+	0.430714i
$311$	−21.1241	+	6.86362i	−1.19784	+	0.389200i	−0.838964	−	0.544187i	$-0.816838\pi$
$311$	−21.1241	+	6.86362i	−1.19784	+	0.389200i	−0.358871	+	0.933387i	$0.616838\pi$
$312$	1.14046	+	2.13602i	0.0645658	+	0.120928i
$313$	−1.73151	−	3.39827i	−0.0978706	−	0.192082i	0.836880	−	0.547386i	$-0.184377\pi$
$313$	−1.73151	−	3.39827i	−0.0978706	−	0.192082i	−0.934751	+	0.355305i	$0.884377\pi$
$314$	10.2755	−	11.5598i	0.579880	−	0.652359i
$315$	2.70801	+	0.0632451i	0.152579	+	0.00356346i
$316$	0.586633	−	0.541943i	0.0330007	−	0.0304867i
$317$	15.5450	−	2.46209i	0.873096	−	0.138285i	0.296223	−	0.955119i	$-0.404273\pi$
$317$	15.5450	−	2.46209i	0.873096	−	0.138285i	0.576873	+	0.816834i	$0.304273\pi$
$318$	0.876189	−	3.35562i	0.0491342	−	0.188174i
$319$	−8.58925	−	6.24046i	−0.480906	−	0.349399i
$320$	17.7083	+	2.53311i	0.989923	+	0.141605i
$321$	8.37625	−	6.08570i	0.467517	−	0.339671i
$322$	−0.485205	−	1.24025i	−0.0270394	−	0.0691165i
$323$	−8.28247	−	4.22013i	−0.460849	−	0.234814i
$324$	1.74469	+	0.977779i	0.0969273	+	0.0543211i
$325$	3.71906	+	2.11923i	0.206297	+	0.117554i
$326$	0.304061	+	0.518961i	0.0168404	+	0.0287426i
$327$	−6.20844	−	3.16336i	−0.343328	−	0.174934i
$328$	−3.55695	+	25.6289i	−0.196400	+	1.41512i
$329$	−1.66380	−	2.29002i	−0.0917282	−	0.126253i
$330$	18.8960	+	5.40824i	1.04019	+	0.297714i
$331$	−16.5507	−	12.0248i	−0.909709	−	0.660942i	0.0312323	−	0.999512i	$-0.490057\pi$
$331$	−16.5507	−	12.0248i	−0.909709	−	0.660942i	−0.940941	+	0.338570i	$0.890057\pi$
$332$	−2.50006	+	0.704260i	−0.137209	+	0.0386513i
$333$	−0.865171	−	5.46247i	−0.0474111	−	0.299342i
$334$	−27.9639	+	6.13097i	−1.53012	+	0.335472i
$335$	−4.36960	+	12.4512i	−0.238737	+	0.680283i
$336$	3.68265	+	3.14920i	0.200905	+	0.171803i
$337$	7.03301	−	3.58350i	0.383112	−	0.195206i	−0.251818	−	0.967775i	$-0.581029\pi$
$337$	7.03301	−	3.58350i	0.383112	−	0.195206i	0.634931	+	0.772569i	$0.281029\pi$
$338$	9.35538	−	14.6096i	0.508865	−	0.794657i
$339$	−5.58492	+	1.81465i	−0.303331	+	0.0985583i
$340$	2.58086	−	11.5409i	0.139967	−	0.625893i
$341$	−29.2136	−	9.49208i	−1.58201	−	0.514025i
$342$	3.84338	−	3.15319i	0.207826	−	0.170505i
$343$	−10.7351	−	10.7351i	−0.579643	−	0.579643i
$344$	−11.6109	+	16.6430i	−0.626019	+	0.897330i
$345$	−0.752785	−	1.56682i	−0.0405286	−	0.0843549i
$346$	10.2449	−	23.4119i	0.550767	−	1.25863i
$347$	−12.1868	−	1.93020i	−0.654223	−	0.103619i	−0.179506	−	0.983757i	$-0.557450\pi$
$347$	−12.1868	−	1.93020i	−0.654223	−	0.103619i	−0.474718	+	0.880138i	$0.657450\pi$
$348$	−1.89714	−	2.84117i	−0.101698	−	0.152302i
$349$	36.1280			1.93389			0.966944	−	0.254989i	$-0.0820718\pi$
$349$	36.1280			1.93389			0.966944	+	0.254989i	$0.0820718\pi$
$350$	8.47589	+	1.23795i	0.453055	+	0.0661711i
$351$			0.856098i			0.0456951i
$352$	20.0816	+	28.8603i	1.07035	+	1.53826i
$353$	2.89512	−	18.2791i	0.154092	−	0.972897i	−0.782545	−	0.622594i	$-0.786079\pi$
$353$	2.89512	−	18.2791i	0.154092	−	0.972897i	0.936637	−	0.350303i	$-0.113921\pi$
$354$	−0.464104	+	1.06059i	−0.0246669	+	0.0563695i
$355$	−2.88049	−	21.4112i	−0.152880	−	1.13639i
$356$	−22.4819	+	10.3559i	−1.19154	+	0.548863i
$357$	2.26511	−	2.26511i	0.119883	−	0.119883i
$358$	−14.8020	−	18.0419i	−0.782308	−	0.953544i
$359$	−7.84578	+	24.1468i	−0.414084	+	1.27442i	0.498983	+	0.866612i	$0.333707\pi$
$359$	−7.84578	+	24.1468i	−0.414084	+	1.27442i	−0.913067	+	0.407809i	$0.866293\pi$
$360$	5.10110	+	3.73882i	0.268852	+	0.197053i
$361$	2.05278	+	6.31781i	0.108041	+	0.332516i
$362$	13.1455	−	20.5283i	0.690911	−	1.07894i
$363$	12.5441	+	24.6192i	0.658396	+	1.29217i
$364$	−0.405270	+	2.03416i	−0.0212419	+	0.106619i
$365$	−15.3247	−	22.1630i	−0.802131	−	1.16006i
$366$	3.30744	+	15.0855i	0.172883	+	0.788533i
$367$	−28.1521	+	4.45885i	−1.46953	+	0.232750i	−0.839303	−	0.543663i	$-0.817037\pi$
$367$	−28.1521	+	4.45885i	−1.46953	+	0.232750i	−0.630224	+	0.776414i	$0.717037\pi$
$368$	0.727765	−	3.02317i	0.0379374	−	0.157593i
$369$	−5.37707	+	7.40091i	−0.279919	+	0.385276i
$370$	−0.618996	−	17.4782i	−0.0321801	−	0.908649i
$371$	2.40337	−	1.74615i	0.124777	−	0.0906558i
$372$	−7.76036	−	6.12164i	−0.402356	−	0.317392i
$373$	15.9918	−	31.3858i	0.828026	−	1.62509i	0.0484164	−	0.998827i	$-0.484583\pi$
$373$	15.9918	−	31.3858i	0.828026	−	1.62509i	0.779610	−	0.626266i	$-0.215417\pi$
$374$	20.0548	−	11.7502i	1.03701	−	0.607589i
$375$	11.1529	+	0.782562i	0.575934	+	0.0404113i
$376$	−0.126713	−	6.60790i	−0.00653472	−	0.340777i
$377$	0.663898	−	1.30297i	0.0341925	−	0.0671065i
$378$	0.624152	+	1.59542i	0.0321029	+	0.0820595i
$379$	17.9926	+	24.7647i	0.924219	+	1.27208i	0.962072	+	0.272795i	$0.0879481\pi$
$379$	17.9926	+	24.7647i	0.924219	+	1.27208i	−0.0378530	+	0.999283i	$0.512052\pi$
$380$	13.2743	−	8.42231i	0.680955	−	0.432055i
$381$	−12.2985	+	16.9274i	−0.630071	+	0.867219i
$382$	−33.7261	−	8.80624i	−1.72558	−	0.450566i
$383$	5.40524	+	34.1274i	0.276195	+	1.74383i	0.602097	+	0.798423i	$0.294332\pi$
$383$	5.40524	+	34.1274i	0.276195	+	1.74383i	−0.325902	+	0.945403i	$0.605668\pi$
$384$	2.84483	+	10.9502i	0.145175	+	0.558800i
$385$	9.57516	+	13.8478i	0.487995	+	0.705752i
$386$	−21.6955	+	24.4072i	−1.10427	+	1.24229i
$387$	−6.39264	+	3.25721i	−0.324956	+	0.165574i
$388$	25.6629	+	1.01620i	1.30284	+	0.0515899i
$389$	−10.5885	−	32.5882i	−0.536860	−	1.65229i	−0.739595	−	0.673052i	$-0.764983\pi$
$389$	−10.5885	−	32.5882i	−0.536860	−	1.65229i	0.202735	−	0.979234i	$-0.435017\pi$
$390$	−0.328600	+	2.68720i	−0.0166393	+	0.136072i
$391$	−1.95507	−	0.635241i	−0.0988721	−	0.0321255i
$392$	−2.74382	−	15.4059i	−0.138584	−	0.778118i
$393$	−0.538000	+	0.538000i	−0.0271385	+	0.0271385i
$394$	0.568186	−	5.75981i	0.0286248	−	0.290175i
$395$	0.884945	−	0.119053i	0.0445264	−	0.00599022i
$396$	1.45728	+	12.3450i	0.0732311	+	0.620361i
$397$	1.51789	−	9.58355i	0.0761805	−	0.480985i	−0.919872	−	0.392219i	$-0.871708\pi$
$397$	1.51789	−	9.58355i	0.0761805	−	0.480985i	0.996053	−	0.0887661i	$-0.0282924\pi$
$398$	−2.45155	+	0.144197i	−0.122885	+	0.00722794i
$399$	4.25835			0.213184
$400$	14.5767	+	13.6937i	0.728837	+	0.684687i
$401$	−3.58928			−0.179240			−0.0896200	−	0.995976i	$-0.528565\pi$
$401$	−3.58928			−0.179240			−0.0896200	+	0.995976i	$0.528565\pi$
$402$	−8.33129	+	0.490036i	−0.415527	+	0.0244408i
$403$	0.661863	−	4.17884i	0.0329697	−	0.208163i
$404$	3.45598	+	29.2766i	0.171941	+	1.45656i
$405$	0.968359	+	2.01551i	0.0481181	+	0.100152i
$406$	0.287283	−	2.91224i	0.0142576	−	0.144532i
$407$	24.3064	−	24.3064i	1.20482	−	1.20482i
$408$	7.36352	−	1.31145i	0.364548	−	0.0649265i
$409$	−23.0444	−	7.48760i	−1.13947	−	0.370238i	−0.322306	−	0.946636i	$-0.604458\pi$
$409$	−23.0444	−	7.48760i	−1.13947	−	0.370238i	−0.817169	+	0.576398i	$0.804458\pi$
$410$	−19.7188	+	21.1668i	−0.973842	+	1.04535i
$411$	−2.11164	−	6.49895i	−0.104159	−	0.320570i
$412$	−33.8817	−	1.34165i	−1.66923	−	0.0660985i
$413$	−0.883569	+	0.450201i	−0.0434776	+	0.0221529i
$414$	0.730396	−	0.821687i	0.0358970	−	0.0403837i
$415$	−2.74010	−	0.961605i	−0.134506	−	0.0472033i
$416$	−3.49355	+	3.35381i	−0.171285	+	0.164434i
$417$	−1.44034	−	9.09396i	−0.0705339	−	0.445333i
$418$	29.8963	+	7.80625i	1.46228	+	0.381816i
$419$	1.07485	−	1.47940i	0.0525097	−	0.0722735i	−0.781955	−	0.623335i	$-0.785777\pi$
$419$	1.07485	−	1.47940i	0.0525097	−	0.0722735i	0.834464	+	0.551062i	$0.185777\pi$
$420$	1.34677	+	5.24743i	0.0657158	+	0.256048i
$421$	−4.10343	−	5.64789i	−0.199989	−	0.275261i	0.697230	−	0.716848i	$-0.254416\pi$
$421$	−4.10343	−	5.64789i	−0.199989	−	0.275261i	−0.897219	+	0.441587i	$0.854416\pi$
$422$	7.27966	+	18.6078i	0.354368	+	0.905814i
$423$	1.06083	−	2.08199i	0.0515793	−	0.101230i
$424$	6.93498	−	0.132985i	0.336792	−	0.00645832i
$425$	9.77551	−	8.90258i	0.474182	−	0.431839i
$426$	11.7891	−	6.90729i	0.571185	−	0.334659i
$427$	−6.00580	+	11.7871i	−0.290641	+	0.570415i
$428$	16.2578	+	12.8247i	0.785850	+	0.619906i
$429$	−4.30475	+	3.12758i	−0.207835	+	0.151001i
$430$	−21.3161	+	7.77034i	−1.02795	+	0.374719i
$431$	−4.41150	+	6.07191i	−0.212495	+	0.292474i	−0.901938	−	0.431866i	$-0.857855\pi$
$431$	−4.41150	+	6.07191i	−0.212495	+	0.292474i	0.689443	+	0.724340i	$0.257855\pi$
$432$	−0.936174	+	3.88890i	−0.0450417	+	0.187105i
$433$	10.2983	−	1.63109i	0.494904	−	0.0783852i	0.0960069	−	0.995381i	$-0.469393\pi$
$433$	10.2983	−	1.63109i	0.494904	−	0.0783852i	0.398898	+	0.916996i	$0.369393\pi$
$434$	−1.81321	−	8.27020i	−0.0870366	−	0.396982i
$435$	0.0891814	−	3.81854i	0.00427592	−	0.183085i
$436$	2.72294	−	13.6672i	0.130405	−	0.654540i
$437$	−1.24062	−	2.43486i	−0.0593470	−	0.116475i
$438$	9.19001	−	14.3513i	0.439116	−	0.685734i
$439$	11.2659	+	34.6727i	0.537690	+	1.65484i	0.737764	+	0.675059i	$0.235882\pi$
$439$	11.2659	+	34.6727i	0.537690	+	1.65484i	−0.200074	+	0.979781i	$0.564118\pi$
$440$	−0.164194	+	39.3091i	−0.00782762	+	1.87399i
$441$	1.70965	−	5.26175i	0.0814118	−	0.250560i
$442$	2.03066	+	2.47514i	0.0965886	+	0.117730i
$443$	−11.1811	+	11.1811i	−0.531231	+	0.531231i	−0.920939	−	0.389708i	$-0.872576\pi$
$443$	−11.1811	+	11.1811i	−0.531231	+	0.531231i	0.389708	+	0.920939i	$0.372576\pi$
$444$	10.0465	−	4.62776i	0.476786	−	0.219624i
$445$	−27.2248	−	4.96619i	−1.29058	−	0.235420i
$446$	5.19261	−	11.8663i	0.245877	−	0.561886i
$447$	1.56424	−	9.87624i	0.0739861	−	0.467130i
$448$	−4.06540	+	8.79717i	−0.192072	+	0.415627i
$449$			13.6380i			0.643618i	0.946805	+	0.321809i	$0.104291\pi$
$449$			13.6380i			0.643618i	−0.946805	+	0.321809i	$0.895709\pi$
$450$	2.26596	+	6.69817i	0.106818	+	0.315755i
$451$	−56.8583			−2.67736
$452$	−6.52199	−	9.76734i	−0.306768	−	0.459417i
$453$	23.9950	+	3.80043i	1.12738	+	0.178560i
$454$	2.44157	−	5.57956i	0.114589	−	0.261862i
$455$	−1.67759	+	1.60102i	−0.0786465	+	0.0750568i
$456$	8.15435	+	5.68886i	0.381862	+	0.266405i
$457$	−17.7415	−	17.7415i	−0.829913	−	0.829913i	0.157591	−	0.987504i	$-0.449627\pi$
$457$	−17.7415	−	17.7415i	−0.829913	−	0.829913i	−0.987504	+	0.157591i	$0.949627\pi$
$458$	7.81295	−	6.40991i	0.365075	−	0.299515i
$459$	2.51494	+	0.817153i	0.117387	+	0.0381414i
$460$	2.60803	−	2.29884i	0.121600	−	0.107184i
$461$	−1.92359	+	0.625013i	−0.0895907	+	0.0291098i	−0.353469	−	0.935446i	$-0.614998\pi$
$461$	−1.92359	+	0.625013i	−0.0895907	+	0.0291098i	0.263879	+	0.964556i	$0.414998\pi$
$462$	−5.74209	+	8.96700i	−0.267146	+	0.417182i
$463$	0.569011	−	0.289926i	0.0264442	−	0.0134740i	−0.440718	−	0.897645i	$-0.645276\pi$
$463$	0.569011	−	0.289926i	0.0264442	−	0.0134740i	0.467163	+	0.884171i	$0.345276\pi$
$464$	4.44066	−	5.19288i	0.206153	−	0.241073i
$465$	−3.16859	−	10.5869i	−0.146940	−	0.490955i
$466$	−19.4811	+	4.27116i	−0.902447	+	0.197858i
$467$	3.62454	+	22.8844i	0.167724	+	1.05897i	0.917634	+	0.397426i	$0.130097\pi$
$467$	3.62454	+	22.8844i	0.167724	+	1.05897i	−0.749910	+	0.661539i	$0.769903\pi$
$468$	−1.64805	+	0.464252i	−0.0761814	+	0.0214601i
$469$	−5.78347	−	4.20194i	−0.267056	−	0.194027i
$470$	4.12897	−	6.12798i	0.190455	−	0.282663i
$471$	6.42833	+	8.84784i	0.296202	+	0.407687i
$472$	−2.29339	−	0.318292i	−0.105562	−	0.0146506i
$473$	−39.7326	−	20.2448i	−1.82691	−	0.930856i
$474$	0.285485	+	0.487256i	0.0131128	+	0.0223804i
$475$	17.5571	+	0.820536i	0.805577	+	0.0376488i
$476$	5.58886	+	3.13217i	0.256165	+	0.143563i
$477$	2.18505	+	1.11334i	0.100046	+	0.0509762i
$478$	2.90093	+	7.41518i	0.132686	+	0.339163i
$479$	16.4193	−	11.9293i	0.750217	−	0.545064i	−0.145677	−	0.989332i	$-0.546536\pi$
$479$	16.4193	−	11.9293i	0.750217	−	0.545064i	0.895894	+	0.444268i	$0.146536\pi$
$480$	−4.43125	+	11.8475i	−0.202258	+	0.540763i
$481$	3.83046	+	2.78299i	0.174654	+	0.126893i
$482$	2.86351	−	10.9667i	0.130429	−	0.499518i
$483$	0.930119	−	0.147316i	0.0423219	−	0.00670313i
$484$	−40.5914	+	37.4991i	−1.84506	+	1.70451i
$485$	22.8301	+	17.4157i	1.03666	+	0.790808i
$486$	−0.939557	+	1.05699i	−0.0426192	+	0.0479461i
$487$	7.12043	+	13.9746i	0.322658	+	0.633251i	0.994180	−	0.107733i	$-0.0343592\pi$
$487$	7.12043	+	13.9746i	0.322658	+	0.633251i	−0.671522	+	0.740984i	$0.734359\pi$
$488$	−27.2472	+	14.5478i	−1.23342	+	0.658547i
$489$	−0.404492	+	0.131427i	−0.0182918	+	0.00594336i
$490$	7.38605	−	15.8599i	0.333668	−	0.716476i
$491$	−10.0455	+	30.9169i	−0.453348	+	1.39526i	0.419716	+	0.907656i	$0.362130\pi$
$491$	−10.0455	+	30.9169i	−0.453348	+	1.39526i	−0.873064	+	0.487606i	$0.837870\pi$
$492$	−17.1632	−	6.33785i	−0.773779	−	0.285733i
$493$	−3.19402	−	3.19402i	−0.143851	−	0.143851i
$494$	−0.417807	+	4.23539i	−0.0187980	+	0.190559i
$495$	−6.59696	+	12.2325i	−0.296511	+	0.549810i
$496$	7.57628	−	18.2590i	0.340185	−	0.819853i
$497$	11.5599	+	1.83091i	0.518532	+	0.0821275i
$498$	−0.107841	−	1.83344i	−0.00483246	−	0.0821585i
$499$		−	16.0302i		−	0.717610i	−0.933412	−	0.358805i	$-0.883184\pi$
$499$		−	16.0302i		−	0.717610i	0.933412	−	0.358805i	$-0.116816\pi$
$500$	4.54161	+	21.8946i	0.203107	+	0.979157i
$501$		−	20.2431i		−	0.904397i
$502$	−5.41984	+	0.318788i	−0.241899	+	0.0142282i
$503$	8.95207	+	1.41787i	0.399153	+	0.0632197i	0.352784	−	0.935705i	$-0.385235\pi$
$503$	8.95207	+	1.41787i	0.399153	+	0.0632197i	0.0463690	+	0.998924i	$0.485235\pi$
$504$	−2.73283	+	2.06672i	−0.121730	+	0.0920590i
$505$	−15.6449	+	29.0097i	−0.696188	+	1.29092i
$506$	6.80008	+	0.670805i	0.302300	+	0.0298209i
$507$	8.67415	+	8.67415i	0.385232	+	0.385232i
$508$	−39.2560	−	14.4960i	−1.74170	−	0.643156i
$509$	−0.751591	+	2.31316i	−0.0333137	+	0.102529i	−0.966331	−	0.257303i	$-0.917166\pi$
$509$	−0.751591	+	2.31316i	−0.0333137	+	0.102529i	0.933017	+	0.359832i	$0.117166\pi$
$510$	7.58048	+	3.53028i	0.335669	+	0.156323i
$511$	13.8831	−	4.51089i	0.614152	−	0.199550i
$512$	−19.5373	+	11.4147i	−0.863433	+	0.504463i
$513$	1.59590	+	3.13212i	0.0704605	+	0.138287i
$514$	−13.3504	−	11.8671i	−0.588860	−	0.523436i
$515$	−30.1417	−	22.9933i	−1.32820	−	1.01321i
$516$	−9.73705	−	10.5400i	−0.428650	−	0.463997i
$517$	14.3445	−	2.27194i	0.630870	−	0.0999200i
$518$	9.16740	+	2.39371i	0.402792	+	0.105173i
$519$	14.6192	+	10.6215i	0.641712	+	0.466231i
$520$	−5.35127	+	0.824660i	−0.234669	+	0.0361637i
$521$	−12.9007	+	9.37288i	−0.565189	+	0.410634i	−0.833354	−	0.552739i	$-0.813583\pi$
$521$	−12.9007	+	9.37288i	−0.565189	+	0.410634i	0.268166	+	0.963373i	$0.413583\pi$
$522$	2.24969	−	0.880111i	0.0984661	−	0.0385214i
$523$	−19.6707	−	10.0227i	−0.860141	−	0.438264i	−0.0324670	−	0.999473i	$-0.510336\pi$
$523$	−19.6707	−	10.0227i	−0.860141	−	0.438264i	−0.827674	+	0.561209i	$0.810336\pi$
$524$	−1.32744	−	0.743940i	−0.0579896	−	0.0324992i
$525$	−2.13858	+	5.66684i	−0.0933354	+	0.247321i
$526$	32.8057	−	19.2210i	1.43040	−	0.838075i
$527$	−11.6443	−	5.93308i	−0.507234	−	0.258449i
$528$	−22.9749	+	9.49994i	−0.999852	+	0.413432i
$529$	13.1638	+	18.1185i	0.572341	+	0.787760i
$530$	6.43130	+	4.33335i	0.279358	+	0.188229i
$531$	−0.662267	−	0.481165i	−0.0287399	−	0.0208808i
$532$	2.30926	+	8.19765i	0.100119	+	0.355413i
$533$	−1.22513	−	7.73519i	−0.0530664	−	0.335048i
$534$	−3.74834	−	17.0965i	−0.162207	−	0.739839i
$535$	6.63813	+	22.1793i	0.286991	+	0.958895i
$536$	−5.46132	−	15.7726i	−0.235893	−	0.681274i
$537$	14.7031	−	7.49159i	0.634484	−	0.323286i
$538$	16.4615	+	10.5412i	0.709704	+	0.454465i
$539$	32.7037	−	10.6261i	1.40865	−	0.457698i
$540$	−3.35488	+	2.95715i	−0.144371	+	0.127256i
$541$	23.1073	+	7.50801i	0.993459	+	0.322794i	0.760249	−	0.649632i	$-0.225077\pi$
$541$	23.1073	+	7.50801i	0.993459	+	0.322794i	0.233210	+	0.972426i	$0.425077\pi$
$542$	12.0137	+	14.6434i	0.516034	+	0.628987i
$543$	12.1883	+	12.1883i	0.523049	+	0.523049i
$544$	6.51780	+	13.4642i	0.279448	+	0.577271i
$545$	11.2714	−	10.7570i	0.482816	−	0.460778i
$546$	−1.34362	−	0.587959i	−0.0575018	−	0.0251623i
$547$	6.47588	+	1.02568i	0.276889	+	0.0438549i	0.293334	−	0.956010i	$-0.405235\pi$
$547$	6.47588	+	1.02568i	0.276889	+	0.0438549i	−0.0164456	+	0.999865i	$0.505235\pi$
$548$	11.3659	−	7.58938i	0.485526	−	0.324202i
$549$	−10.9204			−0.466073
$550$	−25.4024	+	35.8644i	−1.08316	+	1.52926i
$551$		−	6.00466i		−	0.255807i
$552$	1.97790	+	0.960476i	0.0841849	+	0.0408806i
$553$	−0.0756732	+	0.477782i	−0.00321795	+	0.0203174i
$554$	−21.4106	−	9.36909i	−0.909647	−	0.398055i
$555$	12.1660	+	2.21924i	0.516416	+	0.0942016i
$556$	16.7255	−	7.70432i	0.709319	−	0.326736i
$557$	23.9577	−	23.9577i	1.01512	−	1.01512i	0.0152365	−	0.999884i	$-0.495150\pi$
$557$	23.9577	−	23.9577i	1.01512	−	1.01512i	0.999884	−	0.0152365i	$-0.00485011\pi$
$558$	5.40340	−	4.43307i	0.228744	−	0.187667i
$559$	1.89804	−	5.84157i	0.0802786	−	0.247072i
$560$	−9.37136	+	5.43826i	−0.396012	+	0.229809i
$561$	5.07891	+	15.6313i	0.214432	+	0.659953i
$562$	−5.30039	−	3.39415i	−0.223584	−	0.143174i
$563$	19.7251	+	38.7128i	0.831315	+	1.63155i	0.773994	+	0.633193i	$0.218256\pi$
$563$	19.7251	+	38.7128i	0.831315	+	1.63155i	0.0573213	+	0.998356i	$0.481744\pi$
$564$	4.58327	+	0.913135i	0.192991	+	0.0384499i
$565$	0.306587	−	13.1274i	0.0128982	−	0.552272i
$566$	−37.9499	+	8.32034i	−1.59515	+	0.349730i
$567$	−1.19648	+	0.189503i	−0.0502472	+	0.00795838i
$568$	19.6902	+	18.9492i	0.826182	+	0.795092i
$569$	−22.7081	+	31.2550i	−0.951973	+	1.31028i	−0.00132698	+	0.999999i	$0.500422\pi$
$569$	−22.7081	+	31.2550i	−0.951973	+	1.31028i	−0.950646	+	0.310279i	$0.899578\pi$
$570$	3.80713	+	10.4440i	0.159463	+	0.437449i
$571$	−33.7960	+	24.5542i	−1.41432	+	1.02756i	−0.421640	+	0.906763i	$0.638545\pi$
$571$	−33.7960	+	24.5542i	−1.41432	+	1.02756i	−0.992677	+	0.120798i	$0.961455\pi$
$572$	−8.35526	−	6.59092i	−0.349351	−	0.275580i
$573$	11.1897	−	21.9611i	0.467457	−	0.917437i
$574$	−7.92261	−	13.5220i	−0.330684	−	0.564399i
$575$	3.86326	−	0.428161i	0.161109	−	0.0178555i
$576$	−7.99412	+	0.306703i	−0.333088	+	0.0127793i
$577$	12.4877	−	24.5084i	0.519869	−	1.02030i	−0.470572	−	0.882362i	$-0.655952\pi$
$577$	12.4877	−	24.5084i	0.519869	−	1.02030i	0.990441	−	0.137938i	$-0.0440476\pi$
$578$	−13.1798	+	5.15615i	−0.548209	+	0.214468i
$579$	−13.5727	−	18.6812i	−0.564061	−	0.776363i
$580$	7.39935	−	1.89907i	0.307241	−	0.0788547i
$581$	0.924708	−	1.27275i	0.0383634	−	0.0528026i
$582$	−4.58811	+	17.5715i	−0.190183	+	0.728362i
$583$	2.38440	+	15.0545i	0.0987518	+	0.623494i
$584$	32.6111	+	9.90890i	1.34946	+	0.410033i
$585$	−1.80629	−	0.633896i	−0.0746810	−	0.0262084i
$586$	−0.363969	−	0.323531i	−0.0150354	−	0.0133649i
$587$	−6.11924	+	3.11791i	−0.252568	+	0.128690i	−0.575692	−	0.817667i	$-0.695267\pi$
$587$	−6.11924	+	3.11791i	−0.252568	+	0.128690i	0.323123	+	0.946357i	$0.395267\pi$
$588$	11.0564	+	0.437813i	0.455959	+	0.0180551i
$589$	−5.36849	−	16.5225i	−0.221205	−	0.680798i
$590$	−1.89410	−	1.76453i	−0.0779789	−	0.0726445i
$591$	3.89226	+	1.26467i	0.160106	+	0.0520217i
$592$	14.3569	+	16.8307i	0.590065	+	0.691739i
$593$	13.8738	−	13.8738i	0.569728	−	0.569728i	−0.362324	−	0.932052i	$-0.618017\pi$
$593$	13.8738	−	13.8738i	0.569728	−	0.569728i	0.932052	+	0.362324i	$0.118017\pi$
$594$	−8.74740	−	0.862902i	−0.358910	−	0.0354053i
$595$	3.10200	+	6.45639i	0.127169	+	0.264686i
$596$	19.8608	−	2.34449i	0.813530	−	0.0960339i
$597$	0.271649	−	1.71512i	0.0111178	−	0.0701953i
$598$	0.0552636	+	0.939557i	0.00225990	+	0.0384214i
$599$	−0.187197			−0.00764866			−0.00382433	−	0.999993i	$-0.501217\pi$
$599$	−0.187197			−0.00764866			−0.00382433	+	0.999993i	$0.501217\pi$
$600$	−11.6657	+	7.99448i	−0.476250	+	0.326373i
$601$	38.6122			1.57502			0.787511	−	0.616300i	$-0.211369\pi$
$601$	38.6122			1.57502			0.787511	+	0.616300i	$0.211369\pi$
$602$	−0.721713	−	12.2701i	−0.0294148	−	0.500092i
$603$	0.923166	−	5.82864i	0.0375942	−	0.237360i
$604$	5.69609	+	48.2532i	0.231771	+	1.96339i
$605$	−61.2327	+	8.23776i	−2.48946	+	0.334912i
$606$	−20.7447	−	2.04640i	−0.842696	−	0.0831292i
$607$	−11.2743	+	11.2743i	−0.457610	+	0.457610i	−0.897870	−	0.440260i	$-0.854886\pi$
$607$	−11.2743	+	11.2743i	−0.457610	+	0.457610i	0.440260	+	0.897870i	$0.354886\pi$
$608$	−6.52948	+	18.7828i	−0.264805	+	0.761741i
$609$	1.96798	+	0.639436i	0.0797466	+	0.0259113i
$610$	−34.2782	−	4.19164i	−1.38788	−	0.169715i
$611$	0.618165	+	1.90252i	0.0250083	+	0.0769676i
$612$	−0.209260	+	5.28459i	−0.00845883	+	0.213617i
$613$	4.36926	−	2.22625i	0.176473	−	0.0899173i	−0.363523	−	0.931585i	$-0.618426\pi$
$613$	4.36926	−	2.22625i	0.176473	−	0.0899173i	0.539995	+	0.841668i	$0.318426\pi$
$614$	11.9206	+	10.5962i	0.481074	+	0.427626i
$615$	−11.6338	−	16.8252i	−0.469121	−	0.678456i
$616$	−20.3760	−	6.19127i	−0.820974	−	0.249453i
$617$	5.40847	+	34.1477i	0.217737	+	1.37474i	0.818131	+	0.575032i	$0.195010\pi$
$617$	5.40847	+	34.1477i	0.217737	+	1.37474i	−0.600394	+	0.799704i	$0.704990\pi$
$618$	6.05750	−	23.1990i	0.243668	−	0.933200i
$619$	3.97895	−	5.47655i	0.159927	−	0.220121i	−0.721532	−	0.692381i	$-0.756562\pi$
$619$	3.97895	−	5.47655i	0.159927	−	0.220121i	0.881459	+	0.472260i	$0.156562\pi$
$620$	18.6623	−	11.8409i	0.749495	−	0.475543i
$621$	0.456934	+	0.628916i	0.0183361	+	0.0252375i
$622$	29.2524	−	11.4440i	1.17292	−	0.458862i
$623$	6.80642	−	13.3583i	0.272693	−	0.535191i
$624$	−1.78744	−	2.92087i	−0.0715550	−	0.116929i
$625$	−9.90930	+	22.9523i	−0.396372	+	0.918090i
$626$	2.72668	+	4.65381i	0.108980	+	0.186004i
$627$	−9.91908	+	19.4673i	−0.396130	+	0.777448i
$628$	−13.5468	+	17.1731i	−0.540575	+	0.685282i
$629$	11.8317	−	8.59625i	0.471762	−	0.342755i
$630$	−3.82835	+	0.135582i	−0.152525	+	0.00540172i
$631$	14.3788	−	19.7907i	0.572411	−	0.787856i	−0.420427	−	0.907327i	$-0.638120\pi$
$631$	14.3788	−	19.7907i	0.572411	−	0.787856i	0.992838	+	0.119470i	$0.0381196\pi$
$632$	−0.783190	+	0.813814i	−0.0311536	+	0.0323718i
$633$	−13.9548	+	2.21023i	−0.554654	+	0.0878486i
$634$	−21.7416	+	4.76675i	−0.863470	+	0.189312i
$635$	−26.6090	−	38.4827i	−1.05595	−	1.52714i
$636$	−0.958333	+	4.81013i	−0.0380004	+	0.190734i
$637$	2.15028	+	4.22016i	0.0851971	+	0.167209i
$638$	12.6443	+	8.09687i	0.500592	+	0.320558i
$639$	2.98561	+	9.18876i	0.118109	+	0.363502i
$640$	−25.2104	−	2.10571i	−0.996530	−	0.0832355i
$641$	13.4484	−	41.3900i	0.531181	−	1.63481i	−0.220579	−	0.975369i	$-0.570795\pi$
$641$	13.4484	−	41.3900i	0.531181	−	1.63481i	0.751760	−	0.659437i	$-0.229205\pi$
$642$	−11.3200	+	9.28719i	−0.446766	+	0.366536i
$643$	26.6716	−	26.6716i	1.05183	−	1.05183i	0.0532438	−	0.998582i	$-0.483044\pi$
$643$	26.6716	−	26.6716i	1.05183	−	1.05183i	0.998582	−	0.0532438i	$-0.0169561\pi$
$644$	0.787989	+	1.71066i	0.0310511	+	0.0674096i
$645$	−2.13902	−	15.8997i	−0.0842239	−	0.626051i
$646$	12.0434	+	5.27010i	0.473841	+	0.207349i
$647$	6.48019	−	40.9143i	0.254762	−	1.60851i	−0.445947	−	0.895060i	$-0.647133\pi$
$647$	6.48019	−	40.9143i	0.254762	−	1.60851i	0.700709	−	0.713447i	$-0.252867\pi$
$648$	−2.54430	−	1.23553i	−0.0999497	−	0.0485360i
$649$		−	5.08795i		−	0.199719i
$650$	−5.42646	−	2.68305i	−0.212843	−	0.105238i
$651$	5.98681			0.234642
$652$	−0.472360	−	0.707407i	−0.0184990	−	0.0277042i
$653$	37.9228	+	6.00638i	1.48403	+	0.235048i	0.845263	−	0.534350i	$-0.179444\pi$
$653$	37.9228	+	6.00638i	1.48403	+	0.235048i	0.638770	+	0.769398i	$0.279444\pi$
$654$	9.02760	+	3.95041i	0.353007	+	0.154473i
$655$	−0.736772	−	1.53349i	−0.0287881	−	0.0599185i
$656$	2.89342	−	36.4775i	0.112969	−	1.42421i
$657$	8.52082	+	8.52082i	0.332429	+	0.332429i
$658$	2.53907	+	3.09483i	0.0989832	+	0.120649i
$659$	7.08516	+	2.30211i	0.275999	+	0.0896774i	0.443746	−	0.896153i	$-0.353649\pi$
$659$	7.08516	+	2.30211i	0.275999	+	0.0896774i	−0.167747	+	0.985830i	$0.553649\pi$
$660$	−27.1260	−	6.06611i	−1.05588	−	0.236123i
$661$	17.1145	−	5.56084i	0.665677	−	0.216291i	0.0433629	−	0.999059i	$-0.486193\pi$
$661$	17.1145	−	5.56084i	0.665677	−	0.216291i	0.622314	+	0.782768i	$0.286193\pi$
$662$	24.3644	+	15.6019i	0.946948	+	0.606386i
$663$	−2.01709	+	1.02776i	−0.0783373	+	0.0399149i
$664$	3.47104	−	1.20186i	0.134702	−	0.0466411i
$665$	−3.15309	+	8.98475i	−0.122271	+	0.348414i
$666$	1.67502	+	7.63993i	0.0649058	+	0.296041i
$667$	−0.207730	−	1.31155i	−0.00804332	−	0.0507835i
$668$	38.9696	−	10.9776i	1.50778	−	0.424737i
$669$	7.40974	+	5.38349i	0.286477	+	0.208138i
$670$	5.13495	−	17.9411i	0.198381	−	0.693127i
$671$	−39.8957	−	54.9117i	−1.54016	−	2.11984i
$672$	−5.46058	−	4.14016i	−0.210646	−	0.159710i
$673$	−25.5237	−	13.0050i	−0.983866	−	0.501305i	−0.113408	−	0.993548i	$-0.536177\pi$
$673$	−25.5237	−	13.0050i	−0.983866	−	0.501305i	−0.870457	+	0.492244i	$0.836177\pi$
$674$	−9.63145	+	5.64310i	−0.370990	+	0.217364i
$675$	−4.96957	+	0.550772i	−0.191279	+	0.0211992i
$676$	−11.9945	+	21.4023i	−0.461327	+	0.823165i
$677$	−35.7076	−	18.1939i	−1.37235	−	0.699249i	−0.396573	−	0.918003i	$-0.629801\pi$
$677$	−35.7076	−	18.1939i	−1.37235	−	0.699249i	−0.975780	+	0.218754i	$0.929801\pi$
$678$	7.73396	−	3.02564i	0.297021	−	0.116199i
$679$	−12.5851	+	9.14363i	−0.482973	+	0.350900i
$680$	−2.68525	+	16.5074i	−0.102975	+	0.633032i
$681$	3.48407	+	2.53133i	0.133510	+	0.0970006i
$682$	42.0312	+	10.9748i	1.60946	+	0.420247i
$683$	−8.23644	+	1.30452i	−0.315159	+	0.0499162i	−0.312010	−	0.950079i	$-0.601002\pi$
$683$	−8.23644	+	1.30452i	−0.315159	+	0.0499162i	−0.00314861	+	0.999995i	$0.501002\pi$
$684$	−5.16414	+	4.77074i	−0.197456	+	0.182414i
$685$	15.2758	+	0.356763i	0.583658	+	0.0136312i
$686$	16.0470	+	14.2642i	0.612678	+	0.544608i
$687$	3.24419	+	6.36709i	0.123774	+	0.242919i
$688$	15.0100	−	24.4603i	0.572250	−	0.932540i
$689$	−1.99669	+	0.648763i	−0.0760677	+	0.0247159i
$690$	1.19287	+	2.14949i	0.0454118	+	0.0818296i
$691$	6.45060	−	19.8529i	0.245392	−	0.755240i	−0.750179	−	0.661235i	$-0.770033\pi$
$691$	6.45060	−	19.8529i	0.245392	−	0.755240i	0.995572	−	0.0940057i	$-0.0299672\pi$
$692$	−12.5193	+	33.9030i	−0.475914	+	1.28880i
$693$	−5.32397	−	5.32397i	−0.202241	−	0.202241i
$694$	17.3653	+	1.71303i	0.659179	+	0.0650258i
$695$	20.2540	+	3.69461i	0.768277	+	0.140145i
$696$	2.91426	+	3.85355i	0.110465	+	0.146068i
$697$	−23.8929	−	3.78426i	−0.905007	−	0.143339i
$698$	−51.0046	+	3.00003i	−1.93055	+	0.113553i
$699$		−	14.1024i		−	0.533403i
$700$	−12.0688	−	1.04387i	−0.456159	−	0.0394547i
$701$		−	17.5159i		−	0.661565i	−0.943707	−	0.330782i	$-0.892687\pi$
$701$		−	17.5159i		−	0.661565i	0.943707	−	0.330782i	$-0.107313\pi$
$702$	−0.0710893	−	1.20862i	−0.00268309	−	0.0456163i
$703$	19.2020	+	3.04130i	0.724218	+	0.114705i
$704$	−30.7471	−	39.0767i	−1.15883	−	1.47276i
$705$	3.60734	+	3.77987i	0.135860	+	0.142358i
$706$	−2.56938	+	26.0463i	−0.0967000	+	0.980266i
$707$	−12.6259	−	12.6259i	−0.474848	−	0.474848i
$708$	0.567140	−	1.53585i	0.0213144	−	0.0577206i
$709$	−4.97960	+	15.3256i	−0.187013	+	0.575566i	−0.999977	−	0.00674716i	$-0.997852\pi$
$709$	−4.97960	+	15.3256i	−0.187013	+	0.575566i	0.812964	+	0.582313i	$0.197852\pi$
$710$	5.84455	+	29.9885i	0.219342	+	1.12545i
$711$	−0.379780	+	0.123398i	−0.0142429	+	0.00462779i
$712$	30.8795	−	16.4871i	1.15726	−	0.617881i
$713$	−1.74419	−	3.42316i	−0.0653204	−	0.128199i
$714$	−3.00973	+	3.38592i	−0.112636	+	0.126715i
$715$	−3.41149	−	11.3985i	−0.127582	−	0.426278i
$716$	22.3952	+	24.2419i	0.836948	+	0.905964i
$717$	−5.56097	+	0.880771i	−0.207678	+	0.0328930i
$718$	9.07134	−	34.7414i	0.338539	−	1.29654i
$719$	30.0319	+	21.8195i	1.12000	+	0.813729i	0.984209	−	0.177008i	$-0.0566419\pi$
$719$	30.0319	+	21.8195i	1.12000	+	0.813729i	0.135793	+	0.990737i	$0.456642\pi$
$720$	−7.51207	−	4.85478i	−0.279958	−	0.180927i
$721$	16.6156	−	12.0720i	0.618799	−	0.449584i
$722$	−3.42268	−	8.74886i	−0.127379	−	0.325599i
$723$	7.14105	+	3.63855i	0.265579	+	0.135319i
$724$	−16.8538	+	30.0729i	−0.626367	+	1.11765i
$725$	7.99076	+	3.01560i	0.296769	+	0.111996i
$726$	−19.7538	−	33.7151i	−0.733133	−	1.25129i
$727$	18.1366	+	9.24103i	0.672647	+	0.342731i	0.756730	−	0.653728i	$-0.226796\pi$
$727$	18.1366	+	9.24103i	0.672647	+	0.342731i	−0.0840823	+	0.996459i	$0.526796\pi$
$728$	0.403235	−	2.90542i	0.0149449	−	0.107682i
$729$	−0.587785	−	0.809017i	−0.0217698	−	0.0299636i
$730$	23.4754	+	30.0166i	0.868863	+	1.11096i
$731$	−15.3489	−	11.1517i	−0.567701	−	0.412459i
$732$	−5.92204	−	21.0227i	−0.218885	−	0.777022i
$733$	−2.22312	−	14.0362i	−0.0821128	−	0.518440i	−0.994122	−	0.108269i	$-0.965469\pi$
$733$	−2.22312	−	14.0362i	−0.0821128	−	0.518440i	0.912009	−	0.410171i	$-0.134531\pi$
$734$	39.3741	−	8.63261i	1.45333	−	0.318635i
$735$	9.83594	+	7.50326i	0.362804	+	0.276762i
$736$	−0.776400	+	4.32846i	−0.0286185	+	0.159549i
$737$	32.6810	−	16.6518i	1.20382	−	0.613376i
$738$	6.97665	−	10.8949i	0.256814	−	0.401047i
$739$	2.83558	−	0.921335i	0.104308	−	0.0338919i	−0.256398	−	0.966571i	$-0.582536\pi$
$739$	2.83558	−	0.921335i	0.104308	−	0.0338919i	0.360706	+	0.932679i	$0.382536\pi$
$740$	2.32525	+	24.6239i	0.0854780	+	0.905192i
$741$	−2.86212	−	0.929958i	−0.105143	−	0.0341629i
$742$	−3.24802	+	2.66475i	−0.119239	+	0.0978259i
$743$	−37.3903	−	37.3903i	−1.37172	−	1.37172i	−0.857899	−	0.513818i	$-0.828231\pi$
$743$	−37.3903	−	37.3903i	−1.37172	−	1.37172i	−0.513818	−	0.857899i	$-0.671769\pi$
$744$	11.4642	+	7.99796i	0.420298	+	0.293220i
$745$	19.6798	+	10.6133i	0.721011	+	0.388840i
$746$	−19.9706	+	45.6375i	−0.731176	+	1.67091i
$747$	1.28269	+	0.203158i	0.0469312	+	0.00743317i
$748$	−27.3372	+	18.2540i	−0.999546	+	0.667431i
$749$	−12.5423			−0.458284
$750$	−15.8104	−	0.178675i	−0.577313	−	0.00652430i
$751$			17.2964i			0.631153i	0.948900	+	0.315577i	$0.102198\pi$
$751$			17.2964i			0.631153i	−0.948900	+	0.315577i	$0.897802\pi$
$752$	0.727602	+	9.31834i	0.0265329	+	0.339805i
$753$	0.600557	−	3.79177i	0.0218855	−	0.138180i
$754$	−0.829076	+	1.89463i	−0.0301932	+	0.0689984i
$755$	−25.7856	+	47.8133i	−0.938435	+	1.74011i
$756$	−1.01364	−	2.20054i	−0.0368658	−	0.0800329i
$757$	13.3202	−	13.3202i	0.484132	−	0.484132i	−0.422316	−	0.906449i	$-0.638783\pi$
$757$	13.3202	−	13.3202i	0.484132	−	0.484132i	0.906449	+	0.422316i	$0.138783\pi$
$758$	−27.4579	−	33.4681i	−0.997317	−	1.21562i
$759$	−1.49308	+	4.59524i	−0.0541955	+	0.166797i
$760$	−18.0409	+	12.9927i	−0.654411	+	0.471294i
$761$	−8.98136	−	27.6418i	−0.325574	−	1.00201i	−0.971181	−	0.238344i	$-0.923396\pi$
$761$	−8.98136	−	27.6418i	−0.325574	−	1.00201i	0.645607	−	0.763670i	$-0.276604\pi$
$762$	15.9571	−	24.9190i	0.578063	−	0.902719i
$763$	3.83206	+	7.52084i	0.138730	+	0.272273i
$764$	48.3448	+	9.63184i	1.74905	+	0.348468i
$765$	−3.58631	+	4.70125i	−0.129663	+	0.169974i
$766$	−10.4649	−	47.7313i	−0.378111	−	1.72460i
$767$	0.692180	−	0.109631i	0.0249932	−	0.00395853i
$768$	−4.92555	−	15.2230i	−0.177735	−	0.549312i
$769$	24.4536	−	33.6574i	0.881818	−	1.21372i	−0.0940958	−	0.995563i	$-0.529996\pi$
$769$	24.4536	−	33.6574i	0.881818	−	1.21372i	0.975914	−	0.218155i	$-0.0700040\pi$
$770$	−14.6679	−	18.7549i	−0.528593	−	0.675880i
$771$	10.2183	−	7.42404i	0.368004	−	0.267370i
$772$	28.6024	−	36.2590i	1.02942	−	1.30499i
$773$	9.04261	−	17.7471i	0.325240	−	0.638320i	−0.669263	−	0.743026i	$-0.733390\pi$
$773$	9.04261	−	17.7471i	0.325240	−	0.638320i	0.994503	+	0.104706i	$0.0333901\pi$
$774$	8.75449	−	5.12929i	0.314674	−	0.184368i
$775$	24.6836	+	1.15359i	0.886661	+	0.0414382i
$776$	−36.3146	+	0.696367i	−1.30362	+	0.0249981i
$777$	−3.04158	+	5.96945i	−0.109116	+	0.214153i
$778$	17.6547	+	45.1278i	0.632952	+	1.61791i
$779$	−18.9018	−	26.0161i	−0.677228	−	0.932124i
$780$	0.240766	−	3.82101i	0.00862082	−	0.136814i
$781$	−35.2968	+	48.5819i	−1.26302	+	1.73840i
$782$	2.81287	+	0.734469i	0.100588	+	0.0262646i
$783$	0.267217	+	1.68714i	0.00954954	+	0.0602934i
$784$	5.15294	+	21.5219i	0.184034	+	0.768638i
$785$	−23.4280	+	7.01186i	−0.836182	+	0.250264i
$786$	0.714859	−	0.804208i	0.0254982	−	0.0286852i
$787$	−10.5935	+	5.39766i	−0.377618	+	0.192406i	−0.632489	−	0.774569i	$-0.717967\pi$
$787$	−10.5935	+	5.39766i	−0.377618	+	0.192406i	0.254872	+	0.966975i	$0.417967\pi$
$788$	−0.323862	+	8.17873i	−0.0115371	+	0.291355i
$789$	8.30808	+	25.5697i	0.295776	+	0.910304i
$790$	−1.23946	+	0.241561i	−0.0440978	+	0.00859436i
$791$	6.76552	+	2.19825i	0.240554	+	0.0781608i
$792$	−3.08246	−	17.3074i	−0.109531	−	0.614990i
$793$	6.61072	−	6.61072i	0.234754	−	0.234754i
$794$	−1.34710	+	13.6559i	−0.0478069	+	0.484628i
$795$	−3.96696	+	3.78589i	−0.140694	+	0.134272i
$796$	3.44905	−	0.407147i	0.122248	−	0.0144309i
$797$	−5.19796	+	32.8187i	−0.184121	+	1.16250i	0.706487	+	0.707726i	$0.250279\pi$
$797$	−5.19796	+	32.8187i	−0.184121	+	1.16250i	−0.890609	+	0.454771i	$0.849721\pi$
$798$	−6.01183	+	0.353608i	−0.212816	+	0.0125176i
$799$	6.17902			0.218598
$800$	−21.7162	−	18.1220i	−0.767782	−	0.640711i
$801$	12.3762			0.437292
$802$	5.06725	−	0.298049i	0.178931	−	0.0105245i
$803$	−11.7164	+	73.9747i	−0.413464	+	2.61051i
$804$	11.7212	−	1.38364i	0.413375	−	0.0487972i
$805$	−0.377880	+	2.07155i	−0.0133185	+	0.0730126i
$806$	−0.587395	+	5.95453i	−0.0206901	+	0.209739i
$807$	−9.77366	+	9.77366i	−0.344049	+	0.344049i
$808$	−7.31015	−	41.0449i	−0.257170	−	1.44395i
$809$	−36.2374	−	11.7742i	−1.27404	−	0.413960i	−0.407562	−	0.913178i	$-0.633621\pi$
$809$	−36.2374	−	11.7742i	−1.27404	−	0.413960i	−0.866477	+	0.499217i	$0.833621\pi$
$810$	−1.53447	−	2.76503i	−0.0539157	−	0.0971533i
$811$	−7.84492	−	24.1442i	−0.275472	−	0.847817i	−0.989094	−	0.147286i	$-0.952946\pi$
$811$	−7.84492	−	24.1442i	−0.275472	−	0.847817i	0.713622	−	0.700531i	$-0.247054\pi$
$812$	−0.163749	+	4.13528i	−0.00574647	+	0.145120i
$813$	−11.9335	+	6.08041i	−0.418525	+	0.213249i
$814$	−32.2968	+	36.3335i	−1.13200	+	1.27349i
$815$	0.0222048	−	0.950759i	0.000777800	−	0.0333036i
$816$	−10.2867	+	2.46293i	−0.360107	+	0.0862198i
$817$	−3.94539	−	24.9102i	−0.138032	−	0.871497i
$818$	33.1553	+	8.65721i	1.15925	+	0.302692i
$819$	0.609573	−	0.839006i	0.0213002	−	0.0293172i
$820$	26.0808	−	31.5201i	0.910782	−	1.10073i
$821$	−11.7668	−	16.1956i	−0.410665	−	0.565231i	0.552716	−	0.833370i	$-0.313592\pi$
$821$	−11.7668	−	16.1956i	−0.410665	−	0.565231i	−0.963380	+	0.268138i	$0.913592\pi$
$822$	3.52082	+	8.99970i	0.122803	+	0.313901i
$823$	13.3057	−	26.1139i	0.463807	−	0.910272i	−0.534089	−	0.845429i	$-0.679345\pi$
$823$	13.3057	−	26.1139i	0.463807	−	0.910272i	0.997895	−	0.0648437i	$-0.0206549\pi$
$824$	47.9447	−	0.919387i	1.67023	−	0.0320284i
$825$	−20.9248	−	22.9766i	−0.728509	−	0.799941i
$826$	1.21001	−	0.708952i	0.0421018	−	0.0246676i
$827$	5.37535	−	10.5497i	0.186919	−	0.366849i	−0.778462	−	0.627691i	$-0.784000\pi$
$827$	5.37535	−	10.5497i	0.186919	−	0.366849i	0.965382	+	0.260842i	$0.0840001\pi$
$828$	−0.962921	+	1.22069i	−0.0334638	+	0.0424218i
$829$	8.75275	−	6.35924i	0.303996	−	0.220866i	−0.425320	−	0.905043i	$-0.639839\pi$
$829$	8.75275	−	6.35924i	0.303996	−	0.220866i	0.729316	+	0.684177i	$0.239839\pi$
$830$	3.94826	+	1.13003i	0.137046	+	0.0392240i
$831$	9.71351	−	13.3695i	0.336958	−	0.463783i
$832$	4.65360	−	5.02492i	0.161334	−	0.174208i
$833$	14.4499	−	2.28864i	0.500660	−	0.0792967i
$834$	2.78859	+	12.7190i	0.0965609	+	0.440423i
$835$	42.7113	+	14.9890i	1.47808	+	0.518715i
$836$	−42.8550	−	8.53810i	−1.48217	−	0.295296i
$837$	2.24367	+	4.40345i	0.0775525	+	0.152205i
$838$	−1.39459	+	2.17783i	−0.0481754	+	0.0752320i
$839$	6.11847	+	18.8307i	0.211233	+	0.650109i	0.999400	+	0.0346466i	$0.0110306\pi$
$839$	6.11847	+	18.8307i	0.211233	+	0.650109i	−0.788167	+	0.615462i	$0.788969\pi$
$840$	−2.33708	−	7.29634i	−0.0806368	−	0.251748i
$841$	−8.05983	+	24.8056i	−0.277925	+	0.855366i
$842$	6.26211	+	7.63280i	0.215807	+	0.263043i
$843$	3.14700	−	3.14700i	0.108388	−	0.108388i
$844$	−11.8224	−	25.6655i	−0.406944	−	0.883444i
$845$	−24.7245	+	11.8789i	−0.850547	+	0.408648i
$846$	−1.32476	+	3.02739i	−0.0455463	+	0.104084i
$847$	5.23612	−	33.0596i	0.179915	−	1.13594i
$848$	−9.77958	+	0.763617i	−0.335832	+	0.0262227i
$849$		−	27.4720i		−	0.942836i
$850$	−13.0615	+	13.3802i	−0.448007	+	0.458936i
$851$	4.29936			0.147380
$852$	−16.0700	+	10.7305i	−0.550549	+	0.367620i
$853$	−1.94612	−	0.308235i	−0.0666338	−	0.0105538i	0.123029	−	0.992403i	$-0.460739\pi$
$853$	−1.94612	−	0.308235i	−0.0666338	−	0.0105538i	−0.189662	+	0.981849i	$0.560739\pi$
$854$	7.50005	−	17.1394i	0.256646	−	0.586497i
$855$	−7.79018	+	1.04803i	−0.266419	+	0.0358418i
$856$	−24.0173	−	16.7556i	−0.820894	−	0.572694i
$857$	21.9718	+	21.9718i	0.750542	+	0.750542i	0.974580	−	0.224038i	$-0.0719240\pi$
$857$	21.9718	+	21.9718i	0.750542	+	0.750542i	−0.224038	+	0.974580i	$0.571924\pi$
$858$	5.81762	−	4.77290i	0.198610	−	0.162944i
$859$	6.03696	+	1.96153i	0.205978	+	0.0669264i	0.410189	−	0.912001i	$-0.365463\pi$
$859$	6.03696	+	1.96153i	0.205978	+	0.0669264i	−0.204211	+	0.978927i	$0.565463\pi$
$860$	29.4482	−	12.7400i	1.00418	−	0.434431i
$861$	10.5394	−	3.42447i	0.359183	−	0.116706i
$862$	5.72384	−	8.93849i	0.194955	−	0.304446i
$863$	−1.09224	+	0.556525i	−0.0371804	+	0.0189443i	−0.472482	−	0.881340i	$-0.656642\pi$
$863$	−1.09224	+	0.556525i	−0.0371804	+	0.0189443i	0.435301	+	0.900285i	$0.356642\pi$
$864$	0.998735	−	5.56799i	0.0339777	−	0.189427i
$865$	−33.2352	+	22.9806i	−1.13003	+	0.781364i
$866$	−14.4034	+	3.15789i	−0.489448	+	0.107309i
$867$	−1.56549	−	9.88413i	−0.0531669	−	0.335683i
$868$	3.24658	+	11.5251i	0.110196	+	0.391187i
$869$	−2.00794	−	1.45885i	−0.0681147	−	0.0494882i
$870$	0.191183	+	5.39832i	0.00648172	+	0.183020i
$871$	2.96954	+	4.08722i	0.100619	+	0.138490i
$872$	−2.70927	+	19.5211i	−0.0917475	+	0.661067i
$873$	−11.4419	−	5.82992i	−0.387249	−	0.197313i
$874$	1.95366	+	3.33445i	0.0660837	+	0.112789i
$875$	−10.3730	−	8.70823i	−0.350673	−	0.294392i
$876$	−11.7825	+	21.0240i	−0.398093	+	0.710334i
$877$	−34.5052	−	17.5813i	−1.16516	−	0.593677i	−0.239076	−	0.971001i	$-0.576844\pi$
$877$	−34.5052	−	17.5813i	−1.16516	−	0.593677i	−0.926081	+	0.377324i	$0.876844\pi$
$878$	−18.7840	−	48.0146i	−0.633930	−	1.62041i
$879$	0.278580	−	0.202400i	0.00939628	−	0.00682680i
$880$	−3.03238	−	55.5092i	−0.102221	−	1.87121i
$881$	35.7187	+	25.9511i	1.20339	+	0.874316i	0.994614	−	0.103647i	$-0.0330513\pi$
$881$	35.7187	+	25.9511i	1.20339	+	0.874316i	0.208778	+	0.977963i	$0.433051\pi$
$882$	−1.97671	+	7.57037i	−0.0665591	+	0.254908i
$883$	−12.2949	+	1.94733i	−0.413758	+	0.0655328i	−0.359843	−	0.933013i	$-0.617170\pi$
$883$	−12.2949	+	1.94733i	−0.413758	+	0.0655328i	−0.0539145	+	0.998546i	$0.517170\pi$
$884$	−3.07236	−	3.32571i	−0.103335	−	0.111856i
$885$	1.50559	−	1.04105i	0.0506099	−	0.0349945i
$886$	14.8567	−	16.7137i	0.499122	−	0.561506i
$887$	7.60682	+	14.9292i	0.255412	+	0.501274i	0.982734	−	0.185022i	$-0.0592356\pi$
$887$	7.60682	+	14.9292i	0.255412	+	0.501274i	−0.727323	+	0.686296i	$0.759236\pi$
$888$	−13.7991	+	7.36760i	−0.463068	+	0.247240i
$889$	24.1059	−	7.83249i	0.808486	−	0.262693i
$890$	38.8477	+	4.75042i	1.30218	+	0.159234i
$891$	1.92065	−	5.91117i	0.0643443	−	0.198032i
$892$	−6.34542	+	17.1837i	−0.212460	+	0.575354i
$893$	5.80819	+	5.80819i	0.194364	+	0.194364i
$894$	−1.38825	+	14.0729i	−0.0464299	+	0.470668i
$895$	4.91975	+	36.5693i	0.164449	+	1.22238i
$896$	5.00892	−	12.7572i	0.167336	−	0.426188i
$897$	−0.657322	−	0.104110i	−0.0219473	−	0.00347612i
$898$	−1.13249	−	19.2538i	−0.0377915	−	0.642508i
$899$		−	8.44195i		−	0.281555i
$900$	−3.75522	−	9.26813i	−0.125174	−	0.308938i
$901$			6.48487i			0.216042i
$902$	80.2711	−	4.72145i	2.67274	−	0.157207i
$903$	8.58427	+	1.35961i	0.285667	+	0.0452451i
$904$	10.0186	+	13.2477i	0.333215	+	0.440612i
$905$	−34.7410	+	16.6914i	−1.15483	+	0.554842i
$906$	−34.1911	−	3.37284i	−1.13592	−	0.112055i
$907$	−24.7695	−	24.7695i	−0.822459	−	0.822459i	0.164001	−	0.986460i	$-0.447560\pi$
$907$	−24.7695	−	24.7695i	−0.822459	−	0.822459i	−0.986460	+	0.164001i	$0.947560\pi$
$908$	−2.98363	+	8.07982i	−0.0990151	+	0.268138i
$909$	4.55489	−	14.0185i	0.151076	−	0.464964i
$910$	2.23543	−	2.39958i	0.0741037	−	0.0795452i
$911$	0.121283	−	0.0394072i	0.00401828	−	0.00130562i	−0.307007	−	0.951707i	$-0.599328\pi$
$911$	0.121283	−	0.0394072i	0.00401828	−	0.00130562i	0.311025	+	0.950402i	$0.399328\pi$
$912$	−11.9845	−	7.35425i	−0.396846	−	0.243524i
$913$	3.66451	+	7.19200i	0.121278	+	0.238021i
$914$	26.5202	+	23.5738i	0.877212	+	0.779751i
$915$	8.08603	−	23.0412i	0.267316	−	0.761719i
$916$	−10.4978	+	9.69812i	−0.346858	+	0.320435i
$917$	0.910334	−	0.144183i	0.0300619	−	0.00476133i
$918$	−3.61838	−	0.944798i	−0.119424	−	0.0311830i
$919$	−20.8127	−	15.1213i	−0.686549	−	0.498807i	0.188975	−	0.981982i	$-0.439483\pi$
$919$	−20.8127	−	15.1213i	−0.686549	−	0.498807i	−0.875524	+	0.483175i	$0.839483\pi$
$920$	−3.49105	+	3.46201i	−0.115097	+	0.114139i
$921$	−9.12394	+	6.62893i	−0.300644	+	0.218431i
$922$	2.66378	−	1.04211i	0.0877268	−	0.0343201i
$923$	−7.36978	−	3.75509i	−0.242579	−	0.123600i
$924$	7.36192	−	13.1362i	0.242190	−	0.432149i
$925$	−13.6907	+	24.0259i	−0.450146	+	0.789967i
$926$	−0.779240	+	0.456560i	−0.0256074	+	0.0150035i
$927$	15.1063	+	7.69702i	0.496154	+	0.252803i
$928$	−5.83800	+	7.69992i	−0.191642	+	0.252762i
$929$	−22.5714	−	31.0669i	−0.740545	−	1.01927i	−0.998587	−	0.0531391i	$-0.983077\pi$
$929$	−22.5714	−	31.0669i	−0.740545	−	1.01927i	0.258042	−	0.966134i	$-0.416923\pi$
$930$	5.35245	+	14.6832i	0.175514	+	0.481480i
$931$	15.7340	+	11.4314i	0.515661	+	0.374650i
$932$	27.1483	−	7.64760i	0.889272	−	0.250505i
$933$	3.47459	+	21.9377i	0.113753	+	0.718208i
$934$	−7.01733	−	32.0067i	−0.229614	−	1.04729i
$935$	−36.7413	−	0.858087i	−1.20157	−	0.0280624i
$936$	2.28813	−	0.792272i	0.0747898	−	0.0258962i
$937$	1.02431	−	0.521911i	0.0334627	−	0.0170501i	−0.437179	−	0.899374i	$-0.644022\pi$
$937$	1.02431	−	0.521911i	0.0334627	−	0.0170501i	0.470642	+	0.882324i	$0.344022\pi$
$938$	8.51388	+	5.45193i	0.277988	+	0.178012i
$939$	−3.62730	+	1.17858i	−0.118373	+	0.0384616i
$940$	−5.32031	+	8.99418i	−0.173529	+	0.293358i
$941$	−3.77698	−	1.22722i	−0.123126	−	0.0400061i	0.246806	−	0.969065i	$-0.420619\pi$
$941$	−3.77698	−	1.22722i	−0.123126	−	0.0400061i	−0.369932	+	0.929059i	$0.620619\pi$
$942$	−9.81006	−	11.9573i	−0.319629	−	0.389591i
$943$	−5.02860	−	5.02860i	−0.163754	−	0.163754i
$944$	3.26418	+	0.258917i	0.106240	+	0.00842702i
$945$	0.486093	−	2.66478i	0.0158126	−	0.0866852i
$946$	57.7746	+	25.2817i	1.87841	+	0.821979i
$947$	18.8542	+	2.98621i	0.612678	+	0.0970387i	0.455059	−	0.890461i	$-0.349618\pi$
$947$	18.8542	+	2.98621i	0.612678	+	0.0970387i	0.157619	+	0.987500i	$0.449618\pi$
$948$	−0.443501	−	0.664189i	−0.0144043	−	0.0215719i
$949$	−10.3162			−0.334878
$950$	−24.8548	+	0.299514i	−0.806398	+	0.00971750i
$951$		−	15.7388i		−	0.510365i
$952$	−8.15030	−	3.95783i	−0.264153	−	0.128274i
$953$	−0.419406	+	2.64802i	−0.0135859	+	0.0857779i	−0.993550	−	0.113398i	$-0.963826\pi$
$953$	−0.419406	+	2.64802i	−0.0135859	+	0.0857779i	0.979964	+	0.199176i	$0.0638265\pi$
$954$	−3.17724	−	1.39034i	−0.102867	−	0.0450138i
$955$	38.0506	+	39.8704i	1.23129	+	1.29018i
$956$	−4.71121	−	10.2277i	−0.152371	−	0.330786i
$957$	−7.50728	+	7.50728i	−0.242676	+	0.242676i
$958$	−22.1897	+	18.2049i	−0.716918	+	0.588175i
$959$	−2.55802	+	7.87276i	−0.0826026	+	0.254225i
$960$	5.27211	−	17.0940i	0.170157	−	0.551706i
$961$	2.03197	+	6.25376i	0.0655474	+	0.201734i
$962$	−5.63883	−	3.61087i	−0.181803	−	0.116419i
$963$	−4.70044	−	9.22514i	−0.151470	−	0.297276i
$964$	−3.13197	+	15.7202i	−0.100874	+	0.506314i
$965$	49.4655	−	14.8047i	1.59235	−	0.476581i
$966$	−1.30088	+	0.285213i	−0.0418553	+	0.00917659i
$967$	−39.5516	+	6.26435i	−1.27189	+	0.201448i	−0.755639	−	0.654988i	$-0.772674\pi$
$967$	−39.5516	+	6.26435i	−1.27189	+	0.201448i	−0.516253	+	0.856436i	$0.672674\pi$
$968$	54.1919	−	56.3109i	1.74179	−	1.80990i
$969$	−5.46383	+	7.52032i	−0.175524	+	0.241588i
$970$	−33.6771	−	22.6913i	−1.08131	−	0.728574i
$971$	22.7387	−	16.5206i	0.729719	−	0.530172i	−0.159755	−	0.987157i	$-0.551071\pi$
$971$	22.7387	−	16.5206i	0.729719	−	0.530172i	0.889475	+	0.456985i	$0.151071\pi$
$972$	1.23867	−	1.57025i	0.0397304	−	0.0503659i
$973$	−5.06365	+	9.93797i	−0.162333	+	0.318597i
$974$	−11.2129	−	19.1377i	−0.359284	−	0.613213i
$975$	2.67493	−	3.34176i	0.0856664	−	0.107022i
$976$	37.2589	−	22.8008i	1.19263	−	0.729835i
$977$	−10.0949	+	19.8123i	−0.322963	+	0.633851i	−0.994219	−	0.107375i	$-0.965755\pi$
$977$	−10.0949	+	19.8123i	−0.322963	+	0.633851i	0.671255	+	0.741226i	$0.265755\pi$
$978$	0.560138	−	0.219134i	0.0179112	−	0.00700714i
$979$	45.2141	+	62.2318i	1.44505	+	1.98894i
$980$	−9.11044	+	23.0039i	−0.291022	+	0.734832i
$981$	−4.09563	+	5.63715i	−0.130763	+	0.179980i
$982$	11.6147	−	44.4819i	0.370640	−	1.41947i
$983$	2.32800	+	14.6984i	0.0742517	+	0.468807i	0.996596	+	0.0824382i	$0.0262707\pi$
$983$	2.32800	+	14.6984i	0.0742517	+	0.468807i	−0.922344	+	0.386369i	$0.873729\pi$
$984$	24.7569	+	7.52240i	0.789221	+	0.239805i
$985$	−5.55037	+	7.27592i	−0.176850	+	0.231830i
$986$	4.77445	+	4.24400i	0.152050	+	0.135156i
$987$	−2.52210	+	1.28508i	−0.0802795	+	0.0409044i
$988$	0.238147	−	6.01410i	0.00757648	−	0.191334i
$989$	−1.72352	−	5.30445i	−0.0548048	−	0.168672i
$990$	8.29764	−	17.8173i	0.263716	−	0.566272i
$991$	−33.9536	−	11.0322i	−1.07857	−	0.350449i	−0.284751	−	0.958602i	$-0.591911\pi$
$991$	−33.9536	−	11.0322i	−1.07857	−	0.350449i	−0.793820	+	0.608153i	$0.791911\pi$
$992$	−9.17979	+	26.4067i	−0.291459	+	0.838413i
$993$	−14.4658	+	14.4658i	−0.459060	+	0.459060i
$994$	−16.4720	−	1.62491i	−0.522460	−	0.0515390i
$995$	3.41762	+	1.84311i	0.108346	+	0.0584306i
$996$	0.304494	+	2.57945i	0.00964825	+	0.0817330i
$997$	−8.96617	+	56.6102i	−0.283962	+	1.79286i	0.272675	+	0.962106i	$0.412092\pi$
$997$	−8.96617	+	56.6102i	−0.283962	+	1.79286i	−0.556636	+	0.830756i	$0.687908\pi$
$998$	1.33113	+	22.6310i	0.0421361	+	0.716372i
$999$	−5.53056			−0.174979

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	600.2.bq.a.67.2	✓	480
8.3	odd	2	inner	600.2.bq.a.67.40	yes	480
25.3	odd	20	inner	600.2.bq.a.403.40	yes	480
200.3	even	20	inner	600.2.bq.a.403.2	yes	480

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
600.2.bq.a.67.2	✓	480	1.1	even	1	trivial
600.2.bq.a.67.40	yes	480	8.3	odd	2	inner
600.2.bq.a.403.2	yes	480	200.3	even	20	inner
600.2.bq.a.403.40	yes	480	25.3	odd	20	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:	\( N \)	\(=\)	\( 600 = 2^{3} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	600.bq (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.41177 + 0.0830388i) q^{2} +(0.156434 - 0.987688i) q^{3} +(1.98621 - 0.234464i) q^{4} +(1.96811 + 1.06140i) q^{5} +(-0.138834 + 1.40738i) q^{6} +(-0.856582 + 0.856582i) q^{7} +(-2.78461 + 0.495942i) q^{8} +(-0.951057 - 0.309017i) q^{9} +O(q^{10})\)	\(q+(-1.41177 + 0.0830388i) q^{2} +(0.156434 - 0.987688i) q^{3} +(1.98621 - 0.234464i) q^{4} +(1.96811 + 1.06140i) q^{5} +(-0.138834 + 1.40738i) q^{6} +(-0.856582 + 0.856582i) q^{7} +(-2.78461 + 0.495942i) q^{8} +(-0.951057 - 0.309017i) q^{9} +(-2.86666 - 1.33502i) q^{10} +(-1.92065 - 5.91117i) q^{11} +(0.0791343 - 1.99843i) q^{12} +(0.762789 - 0.388660i) q^{13} +(1.13817 - 1.28043i) q^{14} +(1.35621 - 1.77784i) q^{15} +(3.89005 - 0.931389i) q^{16} +(-0.413670 - 2.61181i) q^{17} +(1.36834 + 0.357287i) q^{18} +(2.06622 - 2.84391i) q^{19} +(4.15793 + 1.64670i) q^{20} +(0.712037 + 0.980035i) q^{21} +(3.20239 + 8.18574i) q^{22} +(0.352924 - 0.692653i) q^{23} +(0.0542279 + 2.82791i) q^{24} +(2.74688 + 4.17788i) q^{25} +(-1.04461 + 0.612041i) q^{26} +(-0.453990 + 0.891007i) q^{27} +(-1.50051 + 1.90219i) q^{28} +(1.38194 - 1.00404i) q^{29} +(-1.76703 + 2.62252i) q^{30} +(2.90490 - 3.99825i) q^{31} +(-5.41453 + 1.63794i) q^{32} +(-6.13885 + 0.972298i) q^{33} +(0.800889 + 3.65293i) q^{34} +(-2.59501 + 0.776672i) q^{35} +(-1.96145 - 0.390784i) q^{36} +(2.51082 + 4.92777i) q^{37} +(-2.68088 + 4.18653i) q^{38} +(-0.264549 - 0.814198i) q^{39} +(-6.00679 - 1.97950i) q^{40} +(2.82690 - 8.70029i) q^{41} +(-1.08662 - 1.32446i) q^{42} +(5.07323 - 5.07323i) q^{43} +(-5.20078 - 11.2905i) q^{44} +(-1.54379 - 1.61762i) q^{45} +(-0.440732 + 1.00718i) q^{46} +(-0.365537 + 2.30791i) q^{47} +(-0.311383 - 3.98786i) q^{48} +5.53254i q^{49} +(-4.22490 - 5.67012i) q^{50} -2.64436 q^{51} +(1.42393 - 0.950807i) q^{52} +(-2.42214 - 0.383630i) q^{53} +(0.566944 - 1.29560i) q^{54} +(2.49403 - 13.6724i) q^{55} +(1.96043 - 2.81006i) q^{56} +(-2.48567 - 2.48567i) q^{57} +(-1.86761 + 1.53223i) q^{58} +(0.778542 + 0.252964i) q^{59} +(2.27687 - 3.84914i) q^{60} +(10.3860 - 3.37460i) q^{61} +(-3.76905 + 5.88584i) q^{62} +(1.07936 - 0.549959i) q^{63} +(7.50808 - 2.76201i) q^{64} +(1.91377 + 0.0446958i) q^{65} +(8.58592 - 1.88243i) q^{66} +(0.923166 + 5.82864i) q^{67} +(-1.43401 - 5.09060i) q^{68} +(-0.628916 - 0.456934i) q^{69} +(3.59908 - 1.31197i) q^{70} +(-5.67896 - 7.81642i) q^{71} +(2.80157 + 0.388822i) q^{72} +(-10.7369 - 5.47070i) q^{73} +(-3.95391 - 6.74840i) q^{74} +(4.55615 - 2.05950i) q^{75} +(3.43715 - 6.13305i) q^{76} +(6.70859 + 3.41820i) q^{77} +(0.441093 + 1.12749i) q^{78} +(0.323060 - 0.234717i) q^{79} +(8.64461 + 2.29581i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-3.26847 + 12.5176i) q^{82} +(-1.28269 + 0.203158i) q^{83} +(1.64404 + 1.77961i) q^{84} +(1.95801 - 5.57938i) q^{85} +(-6.74098 + 7.58353i) q^{86} +(-0.775493 - 1.52199i) q^{87} +(8.27987 + 15.5077i) q^{88} +(-11.7705 + 3.82446i) q^{89} +(2.31381 + 2.15553i) q^{90} +(-0.320472 + 0.986310i) q^{91} +(0.538579 - 1.45850i) q^{92} +(-3.49460 - 3.49460i) q^{93} +(0.324409 - 3.28860i) q^{94} +(7.08505 - 3.40403i) q^{95} +(0.770750 + 5.60410i) q^{96} +(12.6834 + 2.00885i) q^{97} +(-0.459415 - 7.81069i) q^{98} +6.21537i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 480 q + 12 q^{8}+O(q^{10}) \) 480 * q + 12 * q^8	\( 480 q + 12 q^{8} - 8 q^{10} + 8 q^{12} - 8 q^{17} + 20 q^{20} + 28 q^{22} + 8 q^{25} - 4 q^{28} - 8 q^{30} - 20 q^{32} + 48 q^{35} + 20 q^{38} - 108 q^{40} - 20 q^{42} + 32 q^{43} - 140 q^{44} - 16 q^{48} + 124 q^{50} - 132 q^{52} + 152 q^{58} - 20 q^{60} + 116 q^{62} - 60 q^{64} + 8 q^{65} - 48 q^{67} - 72 q^{68} - 4 q^{70} - 12 q^{72} + 40 q^{73} + 24 q^{78} - 76 q^{80} + 120 q^{81} - 64 q^{82} - 80 q^{83} - 80 q^{84} - 132 q^{88} + 200 q^{89} - 48 q^{90} - 216 q^{92} - 40 q^{94} + 20 q^{96} - 56 q^{97} - 192 q^{98}+O(q^{100}) \) 480 * q + 12 * q^8 - 8 * q^10 + 8 * q^12 - 8 * q^17 + 20 * q^20 + 28 * q^22 + 8 * q^25 - 4 * q^28 - 8 * q^30 - 20 * q^32 + 48 * q^35 + 20 * q^38 - 108 * q^40 - 20 * q^42 + 32 * q^43 - 140 * q^44 - 16 * q^48 + 124 * q^50 - 132 * q^52 + 152 * q^58 - 20 * q^60 + 116 * q^62 - 60 * q^64 + 8 * q^65 - 48 * q^67 - 72 * q^68 - 4 * q^70 - 12 * q^72 + 40 * q^73 + 24 * q^78 - 76 * q^80 + 120 * q^81 - 64 * q^82 - 80 * q^83 - 80 * q^84 - 132 * q^88 + 200 * q^89 - 48 * q^90 - 216 * q^92 - 40 * q^94 + 20 * q^96 - 56 * q^97 - 192 * q^98

Introduction

L-functions

Modular forms

Varieties

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Database

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