LMFDB - Embedded newform 280.2.bv.e.117.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(117,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 6, 3, 10]))

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

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

chi := DirichletCharacter("280.117");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.bv (of order $12$, degree $4$, 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:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$160$
Relative dimension:	$40$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			117.12
Character	$\chi$	$=$	280.117
Dual form			280.2.bv.e.213.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.868191 - 1.11635i) q^{2} +(-2.84558 - 0.762471i) q^{3} +(-0.492489 + 1.93842i) q^{4} +(1.93059 - 1.12820i) q^{5} +(1.61932 + 3.83864i) q^{6} +(2.58960 + 0.542205i) q^{7} +(2.59153 - 1.13312i) q^{8} +(4.91789 + 2.83934i) q^{9} +O(q^{10})$	\(q+(-0.868191 - 1.11635i) q^{2} +(-2.84558 - 0.762471i) q^{3} +(-0.492489 + 1.93842i) q^{4} +(1.93059 - 1.12820i) q^{5} +(1.61932 + 3.83864i) q^{6} +(2.58960 + 0.542205i) q^{7} +(2.59153 - 1.13312i) q^{8} +(4.91789 + 2.83934i) q^{9} +(-2.93558 - 1.17573i) q^{10} +(-2.42569 + 1.40047i) q^{11} +(2.87940 - 5.14041i) q^{12} +(4.04307 - 4.04307i) q^{13} +(-1.64297 - 3.36164i) q^{14} +(-6.35386 + 1.73835i) q^{15} +(-3.51491 - 1.90930i) q^{16} +(-4.13599 - 1.10824i) q^{17} +(-1.09995 - 7.95519i) q^{18} +(1.30979 + 0.756207i) q^{19} +(1.23612 + 4.29791i) q^{20} +(-6.95549 - 3.51738i) q^{21} +(3.66938 + 1.49205i) q^{22} +(-1.13964 - 4.25320i) q^{23} +(-8.23838 + 1.24842i) q^{24} +(2.45435 - 4.35617i) q^{25} +(-8.02364 - 1.00334i) q^{26} +(-5.57999 - 5.57999i) q^{27} +(-2.32637 + 4.75268i) q^{28} -0.591939 q^{29} +(7.45698 + 5.58393i) q^{30} +(7.90063 - 4.56143i) q^{31} +(0.920161 + 5.58151i) q^{32} +(7.97030 - 2.13563i) q^{33} +(2.35365 + 5.57939i) q^{34} +(5.61116 - 1.87480i) q^{35} +(-7.92583 + 8.13456i) q^{36} +(0.723325 + 2.69949i) q^{37} +(-0.292953 - 2.11872i) q^{38} +(-14.5876 + 8.42215i) q^{39} +(3.72480 - 5.11135i) q^{40} -3.94514i q^{41} +(2.11205 + 10.8185i) q^{42} +(-6.25585 - 6.25585i) q^{43} +(-1.52007 - 5.39170i) q^{44} +(12.6978 - 0.0667346i) q^{45} +(-3.75865 + 4.96483i) q^{46} +(-0.811235 - 3.02757i) q^{47} +(8.54617 + 8.11307i) q^{48} +(6.41203 + 2.80819i) q^{49} +(-6.99386 + 1.04206i) q^{50} +(10.9243 + 6.30715i) q^{51} +(5.84598 + 9.82831i) q^{52} +(-1.21368 + 4.52952i) q^{53} +(-1.38474 + 11.0737i) q^{54} +(-3.10300 + 5.44038i) q^{55} +(7.32541 - 1.52919i) q^{56} +(-3.15053 - 3.15053i) q^{57} +(0.513916 + 0.660813i) q^{58} +(6.07444 - 3.50708i) q^{59} +(-0.240443 - 13.1725i) q^{60} +(-1.19699 + 2.07326i) q^{61} +(-11.9514 - 4.85970i) q^{62} +(11.1958 + 10.0193i) q^{63} +(5.43207 - 5.87304i) q^{64} +(3.24413 - 12.3669i) q^{65} +(-9.30386 - 7.04353i) q^{66} +(-0.441215 - 0.118223i) q^{67} +(4.18515 - 7.47148i) q^{68} +12.9718i q^{69} +(-6.96450 - 4.63636i) q^{70} -3.13270 q^{71} +(15.9622 + 1.78568i) q^{72} +(-0.295972 + 1.10458i) q^{73} +(2.38560 - 3.15116i) q^{74} +(-10.3055 + 10.5244i) q^{75} +(-2.11090 + 2.16649i) q^{76} +(-7.04089 + 2.31143i) q^{77} +(22.0669 + 8.97287i) q^{78} +(3.04453 + 1.75776i) q^{79} +(-8.93991 + 0.279437i) q^{80} +(3.10571 + 5.37924i) q^{81} +(-4.40416 + 3.42513i) q^{82} +(8.33875 - 8.33875i) q^{83} +(10.2436 - 11.7504i) q^{84} +(-9.23521 + 2.52666i) q^{85} +(-1.55247 + 12.4150i) q^{86} +(1.68441 + 0.451336i) q^{87} +(-4.69933 + 6.37796i) q^{88} +(2.07046 - 3.58614i) q^{89} +(-11.0986 - 14.1172i) q^{90} +(12.6621 - 8.27774i) q^{91} +(8.80573 - 0.114444i) q^{92} +(-25.9598 + 6.95591i) q^{93} +(-2.67553 + 3.53413i) q^{94} +(3.38182 - 0.0177736i) q^{95} +(1.63735 - 16.5842i) q^{96} +(-6.82184 + 6.82184i) q^{97} +(-2.43193 - 9.59613i) q^{98} -15.9057 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8}+O(q^{10}) $ 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8	$ 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8} - 6 q^{10} + 6 q^{12} - 8 q^{15} + 4 q^{16} - 12 q^{17} - 28 q^{18} - 24 q^{22} - 16 q^{23} + 20 q^{25} - 12 q^{26} - 46 q^{28} + 32 q^{30} + 48 q^{31} + 18 q^{32} - 12 q^{33} - 32 q^{36} - 48 q^{38} + 54 q^{40} + 6 q^{42} - 64 q^{46} - 132 q^{47} - 12 q^{50} - 20 q^{56} - 88 q^{57} + 6 q^{58} + 34 q^{60} - 32 q^{63} - 28 q^{65} - 180 q^{66} + 60 q^{68} - 108 q^{70} - 160 q^{71} + 52 q^{72} + 84 q^{73} + 48 q^{78} - 48 q^{80} + 16 q^{81} - 90 q^{82} - 84 q^{86} - 12 q^{87} + 44 q^{88} + 36 q^{92} - 20 q^{95} - 48 q^{96} - 94 q^{98}+O(q^{100}) $ 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8 - 6 * q^10 + 6 * q^12 - 8 * q^15 + 4 * q^16 - 12 * q^17 - 28 * q^18 - 24 * q^22 - 16 * q^23 + 20 * q^25 - 12 * q^26 - 46 * q^28 + 32 * q^30 + 48 * q^31 + 18 * q^32 - 12 * q^33 - 32 * q^36 - 48 * q^38 + 54 * q^40 + 6 * q^42 - 64 * q^46 - 132 * q^47 - 12 * q^50 - 20 * q^56 - 88 * q^57 + 6 * q^58 + 34 * q^60 - 32 * q^63 - 28 * q^65 - 180 * q^66 + 60 * q^68 - 108 * q^70 - 160 * q^71 + 52 * q^72 + 84 * q^73 + 48 * q^78 - 48 * q^80 + 16 * q^81 - 90 * q^82 - 84 * q^86 - 12 * q^87 + 44 * q^88 + 36 * q^92 - 20 * q^95 - 48 * q^96 - 94 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$1$	$-1$	$e\left(\frac{5}{6}\right)$

Coefficient data

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

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

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

$2$	−0.868191	−	1.11635i	−0.613904	−	0.789381i
$2$	−0.868191	−	1.11635i	−0.613904	−	0.789381i
$3$	−2.84558	−	0.762471i	−1.64290	−	0.440213i	−0.685285	−	0.728275i	$-0.740322\pi$
$3$	−2.84558	−	0.762471i	−1.64290	−	0.440213i	−0.957612	+	0.288063i	$0.906989\pi$
$4$	−0.492489	+	1.93842i	−0.246245	+	0.969208i
$5$	1.93059	−	1.12820i	0.863386	−	0.504545i
$5$	1.93059	−	1.12820i	0.863386	−	0.504545i
$6$	1.61932	+	3.83864i	0.661084	+	1.56712i
$7$	2.58960	+	0.542205i	0.978776	+	0.204934i
$7$	2.58960	+	0.542205i	0.978776	+	0.204934i
$8$	2.59153	−	1.13312i	0.916245	−	0.400619i
$9$	4.91789	+	2.83934i	1.63930	+	0.946448i
$10$	−2.93558	−	1.17573i	−0.928313	−	0.371798i
$11$	−2.42569	+	1.40047i	−0.731372	+	0.422258i	−0.818924	−	0.573902i	$-0.805429\pi$
$11$	−2.42569	+	1.40047i	−0.731372	+	0.422258i	0.0875521	+	0.996160i	$0.472096\pi$
$12$	2.87940	−	5.14041i	0.831212	−	1.48391i
$13$	4.04307	−	4.04307i	1.12134	−	1.12134i	0.129805	−	0.991539i	$-0.458565\pi$
$13$	4.04307	−	4.04307i	1.12134	−	1.12134i	0.991539	−	0.129805i	$-0.0414353\pi$
$14$	−1.64297	−	3.36164i	−0.439103	−	0.898437i
$15$	−6.35386	+	1.73835i	−1.64056	+	0.448841i
$16$	−3.51491	−	1.90930i	−0.878727	−	0.477324i
$17$	−4.13599	−	1.10824i	−1.00313	−	0.268787i	−0.280371	−	0.959892i	$-0.590458\pi$
$17$	−4.13599	−	1.10824i	−1.00313	−	0.268787i	−0.722754	+	0.691105i	$0.757124\pi$
$18$	−1.09995	−	7.95519i	−0.259262	−	1.87506i
$19$	1.30979	+	0.756207i	0.300486	+	0.173486i	0.642661	−	0.766150i	$-0.277830\pi$
$19$	1.30979	+	0.756207i	0.300486	+	0.173486i	−0.342175	+	0.939636i	$0.611164\pi$
$20$	1.23612	+	4.29791i	0.276404	+	0.961041i
$21$	−6.95549	−	3.51738i	−1.51781	−	0.767555i
$22$	3.66938	+	1.49205i	0.782314	+	0.318105i
$23$	−1.13964	−	4.25320i	−0.237632	−	0.886854i	−0.976945	−	0.213492i	$-0.931516\pi$
$23$	−1.13964	−	4.25320i	−0.237632	−	0.886854i	0.739313	−	0.673362i	$-0.235150\pi$
$24$	−8.23838	+	1.24842i	−1.68165	+	0.254833i
$25$	2.45435	−	4.35617i	0.490870	−	0.871233i
$26$	−8.02364	−	1.00334i	−1.57357	−	0.196771i
$27$	−5.57999	−	5.57999i	−1.07387	−	1.07387i
$28$	−2.32637	+	4.75268i	−0.439642	+	0.898173i
$29$	−0.591939			−0.109920			−0.0549601	−	0.998489i	$-0.517503\pi$
$29$	−0.591939			−0.109920			−0.0549601	+	0.998489i	$0.517503\pi$
$30$	7.45698	+	5.58393i	1.36145	+	1.01948i
$31$	7.90063	−	4.56143i	1.41899	−	0.819257i	0.422784	−	0.906231i	$-0.361053\pi$
$31$	7.90063	−	4.56143i	1.41899	−	0.819257i	0.996211	+	0.0869739i	$0.0277197\pi$
$32$	0.920161	+	5.58151i	0.162663	+	0.986682i
$33$	7.97030	−	2.13563i	1.38745	−	0.371766i
$34$	2.35365	+	5.57939i	0.403647	+	0.956857i
$35$	5.61116	−	1.87480i	0.948459	−	0.316899i
$36$	−7.92583	+	8.13456i	−1.32097	+	1.35576i
$37$	0.723325	+	2.69949i	0.118914	+	0.443793i	0.999550	−	0.0300007i	$-0.00955097\pi$
$37$	0.723325	+	2.69949i	0.118914	+	0.443793i	−0.880636	+	0.473794i	$0.842884\pi$
$38$	−0.292953	−	2.11872i	−0.0475232	−	0.343702i
$39$	−14.5876	+	8.42215i	−2.33588	+	1.34862i
$40$	3.72480	−	5.11135i	0.588942	−	0.808175i
$41$		−	3.94514i		−	0.616127i	−0.951366	−	0.308063i	$-0.900319\pi$
$41$		−	3.94514i		−	0.616127i	0.951366	−	0.308063i	$-0.0996809\pi$
$42$	2.11205	+	10.8185i	0.325897	+	1.66934i
$43$	−6.25585	−	6.25585i	−0.954008	−	0.954008i	0.0449797	−	0.998988i	$-0.485678\pi$
$43$	−6.25585	−	6.25585i	−0.954008	−	0.954008i	−0.998988	+	0.0449797i	$0.985678\pi$
$44$	−1.52007	−	5.39170i	−0.229159	−	0.812830i
$45$	12.6978	−	0.0667346i	1.89287	−	0.00994821i
$46$	−3.75865	+	4.96483i	−0.554183	+	0.732025i
$47$	−0.811235	−	3.02757i	−0.118331	−	0.441617i	0.881184	−	0.472774i	$-0.156747\pi$
$47$	−0.811235	−	3.02757i	−0.118331	−	0.441617i	−0.999514	+	0.0311575i	$0.990081\pi$
$48$	8.54617	+	8.11307i	1.23353	+	1.17102i
$49$	6.41203	+	2.80819i	0.916004	+	0.401170i
$50$	−6.99386	+	1.04206i	−0.989081	+	0.147370i
$51$	10.9243	+	6.30715i	1.52971	+	0.883177i
$52$	5.84598	+	9.82831i	0.810691	+	1.36294i
$53$	−1.21368	+	4.52952i	−0.166712	+	0.622178i	0.831104	+	0.556117i	$0.187710\pi$
$53$	−1.21368	+	4.52952i	−0.166712	+	0.622178i	−0.997816	+	0.0660600i	$0.978957\pi$
$54$	−1.38474	+	11.0737i	−0.188440	+	1.50695i
$55$	−3.10300	+	5.44038i	−0.418408	+	0.733581i
$56$	7.32541	−	1.52919i	0.978899	−	0.204346i
$57$	−3.15053	−	3.15053i	−0.417297	−	0.417297i
$58$	0.513916	+	0.660813i	0.0674804	+	0.0867689i
$59$	6.07444	−	3.50708i	0.790824	−	0.456582i	−0.0494285	−	0.998778i	$-0.515740\pi$
$59$	6.07444	−	3.50708i	0.790824	−	0.456582i	0.840253	+	0.542195i	$0.182407\pi$
$60$	−0.240443	−	13.1725i	−0.0310411	−	1.70057i
$61$	−1.19699	+	2.07326i	−0.153260	+	0.265453i	−0.932424	−	0.361366i	$-0.882310\pi$
$61$	−1.19699	+	2.07326i	−0.153260	+	0.265453i	0.779164	+	0.626820i	$0.215644\pi$
$62$	−11.9514	−	4.85970i	−1.51783	−	0.617182i
$63$	11.1958	+	10.0193i	1.41054	+	1.26231i
$64$	5.43207	−	5.87304i	0.679008	−	0.734131i
$65$	3.24413	−	12.3669i	0.402385	−	1.53392i
$66$	−9.30386	−	7.04353i	−1.14523	−	0.866999i
$67$	−0.441215	−	0.118223i	−0.0539029	−	0.0144432i	0.231767	−	0.972771i	$-0.425549\pi$
$67$	−0.441215	−	0.118223i	−0.0539029	−	0.0144432i	−0.285670	+	0.958328i	$0.592216\pi$
$68$	4.18515	−	7.47148i	0.507524	−	0.906050i
$69$			12.9718i			1.56162i
$70$	−6.96450	−	4.63636i	−0.832416	−	0.554151i
$71$	−3.13270			−0.371783			−0.185892	−	0.982570i	$-0.559517\pi$
$71$	−3.13270			−0.371783			−0.185892	+	0.982570i	$0.559517\pi$
$72$	15.9622	+	1.78568i	1.88116	+	0.210444i
$73$	−0.295972	+	1.10458i	−0.0346409	+	0.129282i	−0.981081	−	0.193598i	$-0.937984\pi$
$73$	−0.295972	+	1.10458i	−0.0346409	+	0.129282i	0.946440	+	0.322880i	$0.104651\pi$
$74$	2.38560	−	3.15116i	0.277320	−	0.366314i
$75$	−10.3055	+	10.5244i	−1.18998	+	1.21526i
$76$	−2.11090	+	2.16649i	−0.242137	+	0.248514i
$77$	−7.04089	+	2.31143i	−0.802384	+	0.263412i
$78$	22.0669	+	8.97287i	2.49858	+	1.01598i
$79$	3.04453	+	1.75776i	0.342537	+	0.197764i	0.661393	−	0.750039i	$-0.269965\pi$
$79$	3.04453	+	1.75776i	0.342537	+	0.197764i	−0.318856	+	0.947803i	$0.603299\pi$
$80$	−8.93991	+	0.279437i	−0.999512	+	0.0312420i
$81$	3.10571	+	5.37924i	0.345078	+	0.597693i
$82$	−4.40416	+	3.42513i	−0.486359	+	0.378242i
$83$	8.33875	−	8.33875i	0.915297	−	0.915297i	−0.0813861	−	0.996683i	$-0.525935\pi$
$83$	8.33875	−	8.33875i	0.915297	−	0.915297i	0.996683	+	0.0813861i	$0.0259347\pi$
$84$	10.2436	−	11.7504i	1.11767	−	1.28207i
$85$	−9.23521	+	2.52666i	−1.00170	+	0.274055i
$86$	−1.55247	+	12.4150i	−0.167407	+	1.33875i
$87$	1.68441	+	0.451336i	0.180588	+	0.0483883i
$88$	−4.69933	+	6.37796i	−0.500951	+	0.679893i
$89$	2.07046	−	3.58614i	0.219468	−	0.380130i	−0.735177	−	0.677875i	$-0.762901\pi$
$89$	2.07046	−	3.58614i	0.219468	−	0.380130i	0.954645	+	0.297745i	$0.0962345\pi$
$90$	−11.0986	−	14.1172i	−1.16989	−	1.48809i
$91$	12.6621	−	8.27774i	1.32735	−	0.867743i
$92$	8.80573	−	0.114444i	0.918061	−	0.0119316i
$93$	−25.9598	+	6.95591i	−2.69191	+	0.721294i
$94$	−2.67553	+	3.53413i	−0.275960	+	0.364518i
$95$	3.38182	−	0.0177736i	0.346967	−	0.00182353i
$96$	1.63735	−	16.5842i	0.167111	−	1.69262i
$97$	−6.82184	+	6.82184i	−0.692653	+	0.692653i	−0.962815	−	0.270162i	$-0.912923\pi$
$97$	−6.82184	+	6.82184i	−0.692653	+	0.692653i	0.270162	+	0.962815i	$0.412923\pi$
$98$	−2.43193	−	9.59613i	−0.245663	−	0.969355i
$99$	−15.9057			−1.59858
$100$	7.23532	+	6.90291i	0.723532	+	0.690291i
$101$	3.92144	+	6.79212i	0.390197	+	0.675842i	0.992475	−	0.122445i	$-0.0390734\pi$
$101$	3.92144	+	6.79212i	0.390197	+	0.675842i	−0.602278	+	0.798286i	$0.705740\pi$
$102$	−2.44337	−	17.6712i	−0.241930	−	1.74971i
$103$	−6.37962	+	1.70941i	−0.628602	+	0.168433i	−0.559035	−	0.829144i	$-0.688828\pi$
$103$	−6.37962	+	1.70941i	−0.628602	+	0.168433i	−0.0695668	+	0.997577i	$0.522162\pi$
$104$	5.89644	−	15.0590i	0.578194	−	1.47666i
$105$	−17.3965	+	1.05654i	−1.69772	+	0.103108i
$106$	6.11025	−	2.57759i	0.593480	−	0.250358i
$107$	3.68173	+	13.7404i	0.355927	+	1.32834i	0.879314	+	0.476242i	$0.158001\pi$
$107$	3.68173	+	13.7404i	0.355927	+	1.32834i	−0.523388	+	0.852095i	$0.675332\pi$
$108$	13.5644	−	8.06826i	1.30524	−	0.776369i
$109$	0.296219	+	0.513067i	0.0283727	+	0.0491429i	0.879863	−	0.475227i	$-0.157634\pi$
$109$	0.296219	+	0.513067i	0.0283727	+	0.0491429i	−0.851490	+	0.524370i	$0.824301\pi$
$110$	8.76738	−	1.25925i	0.835937	−	0.120065i
$111$		−	8.23312i		−	0.781453i
$112$	−8.06697	−	6.85011i	−0.762257	−	0.647275i
$113$	−1.27145	+	1.27145i	−0.119608	+	0.119608i	−0.764377	−	0.644769i	$-0.776954\pi$
$113$	−1.27145	+	1.27145i	−0.119608	+	0.119608i	0.644769	+	0.764377i	$0.276954\pi$
$114$	−0.781842	+	6.25236i	−0.0732262	+	0.585587i
$115$	−6.99863	−	6.92545i	−0.652625	−	0.645801i
$116$	0.291523	−	1.14742i	0.0270673	−	0.106536i
$117$	31.3630	−	8.40369i	2.89951	−	0.776921i
$118$	−9.18891	−	3.73640i	−0.845907	−	0.343964i
$119$	−10.1097	−	5.11244i	−0.926751	−	0.468657i
$120$	−14.4965	+	11.7047i	−1.32334	+	1.06849i
$121$	−1.57737	+	2.73208i	−0.143397	+	0.248371i
$122$	3.35371	−	0.463713i	0.303630	−	0.0419826i
$123$	−3.00805	+	11.2262i	−0.271227	+	1.01223i
$124$	4.95097	+	17.5611i	0.444610	+	1.57704i
$125$	−0.176270	−	11.1790i	−0.0157661	−	0.999876i
$126$	1.46491	−	21.1971i	0.130504	−	1.88839i
$127$	5.30772	+	5.30772i	0.470984	+	0.470984i	0.902233	−	0.431249i	$-0.141927\pi$
$127$	5.30772	+	5.30772i	0.470984	+	0.470984i	−0.431249	+	0.902233i	$0.641927\pi$
$128$	−11.2725	−	0.965181i	−0.996354	−	0.0853108i
$129$	13.0316	+	22.5714i	1.14737	+	1.98730i
$130$	−16.6223	+	7.11521i	−1.45787	+	0.624045i
$131$	0.0161620	−	0.0279933i	0.00141208	−	0.00244579i	−0.865319	−	0.501222i	$-0.832884\pi$
$131$	0.0161620	−	0.0279933i	0.00141208	−	0.00244579i	0.866731	+	0.498777i	$0.166217\pi$
$132$	0.214462	+	16.5015i	0.0186665	+	1.43627i
$133$	2.98181	+	2.66845i	0.258556	+	0.231384i
$134$	0.251080	+	0.595192i	0.0216900	+	0.0514167i
$135$	−17.0680	−	4.47735i	−1.46898	−	0.385349i
$136$	−11.9743	+	1.81456i	−1.02679	+	0.155597i
$137$	−2.94578	+	10.9938i	−0.251675	+	0.939263i	0.718235	+	0.695800i	$0.244950\pi$
$137$	−2.94578	+	10.9938i	−0.251675	+	0.939263i	−0.969910	+	0.243463i	$0.921717\pi$
$138$	14.4811	−	11.2620i	1.23271	−	0.958683i
$139$			8.50438i			0.721332i	0.932695	+	0.360666i	$0.117451\pi$
$139$			8.50438i			0.721332i	−0.932695	+	0.360666i	$0.882549\pi$
$140$	0.870699	+	11.8001i	0.0735875	+	0.997289i
$141$			9.23374i			0.777621i
$142$	2.71978	+	3.49720i	0.228239	+	0.293479i
$143$	−4.14501	+	15.4694i	−0.346623	+	1.29362i
$144$	−11.8648	−	19.3697i	−0.988731	−	1.61414i
$145$	−1.14279	+	0.667823i	−0.0949036	+	0.0554597i
$146$	1.49006	−	0.628579i	0.123319	−	0.0520216i
$147$	−16.1048	−	12.8799i	−1.32830	−	1.06232i
$148$	−5.58896	+	0.0726367i	−0.459409	+	0.00597070i
$149$	5.25658	−	9.10466i	0.430636	−	0.745883i	−0.566292	−	0.824204i	$-0.691623\pi$
$149$	5.25658	−	9.10466i	0.430636	−	0.745883i	0.996928	+	0.0783215i	$0.0249561\pi$
$150$	20.6961	+	2.36734i	1.68983	+	0.193293i
$151$	0.0822633	+	0.142484i	0.00669449	+	0.0115952i	0.869353	−	0.494191i	$-0.164536\pi$
$151$	0.0822633	+	0.142484i	0.00669449	+	0.0115952i	−0.862659	+	0.505786i	$0.831202\pi$
$152$	4.25124	+	0.475583i	0.344821	+	0.0385749i
$153$	−17.1937	−	17.1937i	−1.39003	−	1.39003i
$154$	8.69321	+	5.85335i	0.700519	+	0.471677i
$155$	10.1067	−	17.7197i	0.811788	−	1.42328i
$156$	−9.14139	−	32.4246i	−0.731897	−	2.59605i
$157$	−1.15905	+	4.32562i	−0.0925019	+	0.345222i	−0.996629	−	0.0820420i	$-0.973856\pi$
$157$	−1.15905	+	4.32562i	−0.0925019	+	0.345222i	0.904127	+	0.427264i	$0.140522\pi$
$158$	−0.680953	−	4.92485i	−0.0541737	−	0.391800i
$159$	6.90725	−	11.9637i	0.547781	−	0.948784i
$160$	8.07349	+	9.73749i	0.638266	+	0.769816i
$161$	−0.645105	−	11.6320i	−0.0508414	−	0.916730i
$162$	3.30879	−	8.13727i	0.259963	−	0.639325i
$163$	9.95293	−	2.66688i	0.779574	−	0.208886i	0.152977	−	0.988230i	$-0.451114\pi$
$163$	9.95293	−	2.66688i	0.779574	−	0.208886i	0.626597	+	0.779344i	$0.284447\pi$
$164$	7.64731	+	1.94294i	0.597155	+	0.151718i
$165$	12.9780	−	13.1151i	1.01033	−	1.02101i
$166$	−16.5486	−	2.06936i	−1.28442	−	0.160614i
$167$	−4.15230	+	4.15230i	−0.321315	+	0.321315i	−0.849271	−	0.527957i	$-0.822958\pi$
$167$	−4.15230	+	4.15230i	−0.321315	+	0.321315i	0.527957	+	0.849271i	$0.322958\pi$
$168$	−22.0110	−	1.23398i	−1.69818	−	0.0952035i
$169$		−	19.6928i		−	1.51483i
$170$	10.8386	+	8.11613i	0.831281	+	0.622479i
$171$	4.29426	+	7.43788i	0.328391	+	0.568789i
$172$	15.2074	−	9.04550i	1.15955	−	0.689713i
$173$	−2.95142	−	11.0149i	−0.224393	−	0.837444i	−0.982647	−	0.185486i	$-0.940614\pi$
$173$	−2.95142	−	11.0149i	−0.224393	−	0.837444i	0.758254	−	0.651959i	$-0.226052\pi$
$174$	−0.958538	−	2.27224i	−0.0726666	−	0.172258i
$175$	8.71771	−	9.94995i	0.658997	−	0.752146i
$176$	11.2000	−	0.291170i	0.844230	−	0.0219477i
$177$	−19.9593	+	5.34809i	−1.50024	+	0.401987i
$178$	−5.80095	+	0.802090i	−0.434800	+	0.0601192i
$179$	6.65255	+	11.5225i	0.497235	+	0.861236i	0.999995	−	0.00319028i	$-0.00101550\pi$
$179$	6.65255	+	11.5225i	0.497235	+	0.861236i	−0.502760	+	0.864426i	$0.667682\pi$
$180$	−6.12415	+	24.6464i	−0.456467	+	1.83703i
$181$	18.1805			1.35135			0.675674	−	0.737201i	$-0.263853\pi$
$181$	18.1805			1.35135			0.675674	+	0.737201i	$0.263853\pi$
$182$	−20.2340	−	6.94870i	−1.49984	−	0.515072i
$183$	4.98694	−	4.98694i	0.368645	−	0.368645i
$184$	−7.77282	−	9.73095i	−0.573020	−	0.717375i
$185$	4.44199	+	4.39555i	0.326582	+	0.323167i
$186$	30.3033	+	22.9413i	2.22195	+	1.68214i
$187$	11.5847	−	3.10410i	0.847155	−	0.226994i
$188$	6.26821	−	0.0814647i	0.457157	−	0.00594142i
$189$	−11.4244	−	17.4754i	−0.831005	−	1.27115i
$190$	−2.95590	−	3.75987i	−0.214444	−	0.272770i
$191$	−2.30699	+	3.99583i	−0.166928	+	0.289128i	−0.937338	−	0.348420i	$-0.886718\pi$
$191$	−2.30699	+	3.99583i	−0.166928	+	0.289128i	0.770410	+	0.637549i	$0.220052\pi$
$192$	−19.9354	+	12.5704i	−1.43871	+	0.907192i
$193$	7.53784	+	2.01976i	0.542586	+	0.145385i	0.519694	−	0.854353i	$-0.326046\pi$
$193$	7.53784	+	2.01976i	0.542586	+	0.145385i	0.0228917	+	0.999738i	$0.492713\pi$
$194$	13.5383	+	1.69293i	0.971990	+	0.121545i
$195$	−18.6608	+	32.7174i	−1.33633	+	2.34294i
$196$	−8.60129	+	11.0462i	−0.614378	+	0.789012i
$197$	−2.18484	+	2.18484i	−0.155663	+	0.155663i	−0.780642	−	0.624979i	$-0.785108\pi$
$197$	−2.18484	+	2.18484i	−0.155663	+	0.155663i	0.624979	+	0.780642i	$0.285108\pi$
$198$	13.8091	+	17.7563i	0.981373	+	1.26189i
$199$	−5.63575	−	9.76141i	−0.399508	−	0.691968i	0.594157	−	0.804349i	$-0.297486\pi$
$199$	−5.63575	−	9.76141i	−0.399508	−	0.691968i	−0.993665	+	0.112381i	$0.964152\pi$
$200$	1.42445	−	14.0702i	0.100724	−	0.994914i
$201$	1.16537	+	0.672826i	0.0821988	+	0.0474575i
$202$	4.17786	−	10.2746i	0.293953	−	0.722916i
$203$	−1.53288	−	0.320952i	−0.107587	−	0.0225264i
$204$	−17.6060	+	18.0696i	−1.23266	+	1.26513i
$205$	−4.45089	−	7.61643i	−0.310863	−	0.531955i
$206$	7.44703	+	5.63781i	0.518859	+	0.392805i
$207$	6.47167	−	24.1526i	0.449812	−	1.67872i
$208$	−21.9304	+	6.49159i	−1.52060	+	0.450111i
$209$	−4.23618			−0.293023
$210$	16.2829	+	18.5033i	1.12363	+	1.27685i
$211$			19.7212i			1.35766i	0.734295	+	0.678830i	$0.237513\pi$
$211$			19.7212i			1.35766i	−0.734295	+	0.678830i	$0.762487\pi$
$212$	−8.18237	−	4.58336i	−0.561967	−	0.314786i
$213$	8.91435	+	2.38859i	0.610801	+	0.163664i
$214$	12.1427	−	16.0394i	0.830059	−	1.09643i
$215$	−19.1353	−	5.01965i	−1.30502	−	0.342337i
$216$	−20.7835	−	8.13791i	−1.41414	−	0.553715i
$217$	22.9327	−	7.52850i	1.55677	−	0.511068i
$218$	0.315589	−	0.776125i	0.0213744	−	0.0525659i
$219$	1.68442	−	2.91751i	0.113823	−	0.197147i
$220$	−9.01752	−	8.69423i	−0.607961	−	0.586165i
$221$	−21.2028	+	12.2414i	−1.42625	+	0.823447i
$222$	−9.19107	+	7.14792i	−0.616864	+	0.479737i
$223$	17.0624	+	17.0624i	1.14258	+	1.14258i	0.987977	+	0.154603i	$0.0494098\pi$
$223$	17.0624	+	17.0624i	1.14258	+	1.14258i	0.154603	+	0.987977i	$0.450590\pi$
$224$	−0.643480	+	14.9528i	−0.0429943	+	0.999075i
$225$	24.4388	−	14.4544i	1.62926	−	0.963626i
$226$	2.52325	+	0.315527i	0.167844	+	0.0209885i
$227$	6.69012	−	24.9679i	0.444039	−	1.65717i	−0.274424	−	0.961609i	$-0.588487\pi$
$227$	6.69012	−	24.9679i	0.444039	−	1.65717i	0.718462	−	0.695566i	$-0.244846\pi$
$228$	7.65863	−	4.55543i	0.507205	−	0.301690i
$229$	−20.6133	−	11.9011i	−1.36216	−	0.786446i	−0.372253	−	0.928131i	$-0.621415\pi$
$229$	−20.6133	−	11.9011i	−1.36216	−	0.786446i	−0.989912	+	0.141685i	$0.954748\pi$
$230$	−1.65510	+	13.8255i	−0.109134	+	0.911630i
$231$	21.7978	−	1.20890i	1.43419	−	0.0795395i
$232$	−1.53403	+	0.670739i	−0.100714	+	0.0440362i
$233$	5.89044	+	21.9834i	0.385896	+	1.44018i	0.836750	+	0.547585i	$0.184453\pi$
$233$	5.89044	+	21.9834i	0.385896	+	1.44018i	−0.450855	+	0.892597i	$0.648881\pi$
$234$	−36.6105	−	27.7162i	−2.39331	−	1.81186i
$235$	−4.98185	−	4.92976i	−0.324980	−	0.321582i
$236$	3.80658	+	13.5020i	0.247787	+	0.878904i
$237$	−7.32322	−	7.32322i	−0.475694	−	0.475694i
$238$	3.06983	+	15.7245i	0.198987	+	1.01927i
$239$			12.8502i			0.831207i	0.909546	+	0.415604i	$0.136430\pi$
$239$			12.8502i			0.831207i	−0.909546	+	0.415604i	$0.863570\pi$
$240$	25.6523	+	6.02126i	1.65585	+	0.388670i
$241$	−23.9196	+	13.8100i	−1.54080	+	0.889579i	−0.542007	+	0.840374i	$0.682335\pi$
$241$	−23.9196	+	13.8100i	−1.54080	+	0.889579i	−0.998789	+	0.0492046i	$0.984331\pi$
$242$	4.41942	−	0.611068i	0.284091	−	0.0392809i
$243$	1.39124	+	5.19217i	0.0892480	+	0.333078i
$244$	−3.42932	−	3.34133i	−0.219540	−	0.213907i
$245$	15.5472	−	1.81257i	0.993272	−	0.115801i
$246$	15.1440	−	6.38843i	0.965544	−	0.407312i
$247$	8.35296	−	2.23817i	0.531486	−	0.142411i
$248$	15.3061	−	20.7735i	0.971936	−	1.31912i
$249$	−30.0866	+	17.3705i	−1.90666	+	1.10081i
$250$	−12.3266	+	9.90224i	−0.779604	+	0.626273i
$251$	−16.0763			−1.01473			−0.507365	−	0.861732i	$-0.669380\pi$
$251$	−16.0763			−1.01473			−0.507365	+	0.861732i	$0.669380\pi$
$252$	−24.9353	+	16.7678i	−1.57078	+	1.05627i
$253$	8.72090	+	8.72090i	0.548278	+	0.548278i
$254$	1.31718	−	10.5334i	0.0826471	−	0.660925i
$255$	28.2060	−	0.148240i	1.76633	−	0.00928317i
$256$	8.70917	+	13.4220i	0.544323	+	0.838876i
$257$	3.39534	+	12.6716i	0.211795	+	0.790431i	0.987270	+	0.159053i	$0.0508440\pi$
$257$	3.39534	+	12.6716i	0.211795	+	0.790431i	−0.775475	+	0.631379i	$0.782489\pi$
$258$	13.8838	−	34.1442i	0.864365	−	2.12572i
$259$	0.409445	+	7.38277i	0.0254417	+	0.458743i
$260$	22.3744	+	12.3790i	1.38760	+	0.767714i
$261$	−2.91109	−	1.68072i	−0.180192	−	0.104034i
$262$	−0.0452821	+	0.00626110i	−0.00279754	+	0.000386812i
$263$	−22.7808	−	6.10410i	−1.40473	−	0.376395i	−0.524686	−	0.851296i	$-0.675817\pi$
$263$	−22.7808	−	6.10410i	−1.40473	−	0.376395i	−0.880039	+	0.474901i	$0.842484\pi$
$264$	18.2353	−	14.5659i	1.12231	−	0.896469i
$265$	2.76707	+	10.1139i	0.169980	+	0.621293i
$266$	0.390152	−	5.64547i	0.0239217	−	0.346146i
$267$	−8.62598	+	8.62598i	−0.527901	+	0.527901i
$268$	0.446459	−	0.797034i	0.0272718	−	0.0486866i
$269$	−17.3050	+	9.99102i	−1.05510	+	0.609163i	−0.924073	−	0.382215i	$-0.875161\pi$
$269$	−17.3050	+	9.99102i	−1.05510	+	0.609163i	−0.131028	+	0.991379i	$0.541828\pi$
$270$	9.81998	+	22.9411i	0.597625	+	1.39615i
$271$	17.2130	+	9.93791i	1.04561	+	0.603685i	0.921418	−	0.388573i	$-0.127032\pi$
$271$	17.2130	+	9.93791i	1.04561	+	0.603685i	0.124195	+	0.992258i	$0.460365\pi$
$272$	12.4217	+	11.7922i	0.753175	+	0.715006i
$273$	−42.3425	+	13.9005i	−2.56269	+	0.841297i
$274$	14.8305	−	6.25618i	0.895940	−	0.377950i
$275$	0.147203	+	14.0039i	0.00887667	+	0.844469i
$276$	−25.1447	−	6.38846i	−1.51353	−	0.384540i
$277$	10.8995	+	2.92051i	0.654888	+	0.175477i	0.570938	−	0.820993i	$-0.306580\pi$
$277$	10.8995	+	2.92051i	0.654888	+	0.175477i	0.0839499	+	0.996470i	$0.473246\pi$
$278$	9.49389	−	7.38342i	0.569406	−	0.442828i
$279$	51.8058			3.10153
$280$	12.4171	−	11.2167i	0.742065	−	0.670328i
$281$	32.2000			1.92089			0.960446	−	0.278467i	$-0.0898262\pi$
$281$	32.2000			1.92089			0.960446	+	0.278467i	$0.0898262\pi$
$282$	10.3081	−	8.01665i	0.613839	−	0.477384i
$283$	6.97849	+	1.86988i	0.414828	+	0.111153i	0.460196	−	0.887818i	$-0.347779\pi$
$283$	6.97849	+	1.86988i	0.414828	+	0.111153i	−0.0453677	+	0.998970i	$0.514446\pi$
$284$	1.54282	−	6.07248i	0.0915496	−	0.360335i
$285$	−9.63678	−	2.52796i	−0.570833	−	0.149743i
$286$	20.8680	−	8.80309i	1.23395	−	0.520538i
$287$	2.13907	−	10.2163i	0.126265	−	0.603050i
$288$	−11.3226	+	30.0619i	−0.667190	+	1.77141i
$289$	1.15582	+	0.667311i	0.0679892	+	0.0392536i
$290$	1.73769	+	0.695960i	0.102040	+	0.0408682i
$291$	24.6136	−	14.2106i	1.44287	−	0.833043i
$292$	−1.99538	−	1.11771i	−0.116771	−	0.0654091i
$293$	−5.89623	+	5.89623i	−0.344462	+	0.344462i	−0.858042	−	0.513580i	$-0.828319\pi$
$293$	−5.89623	+	5.89623i	−0.344462	+	0.344462i	0.513580	+	0.858042i	$0.328319\pi$
$294$	−0.396504	+	29.1608i	−0.0231246	+	1.70069i
$295$	7.77057	−	13.6239i	0.452420	−	0.793213i
$296$	4.93337	+	6.17619i	0.286746	+	0.358984i
$297$	21.3499	+	5.72069i	1.23885	+	0.331948i
$298$	−14.7277	+	2.03638i	−0.853155	+	0.117965i
$299$	−21.8036	−	12.5883i	−1.26094	−	0.728002i
$300$	−15.3254	−	25.1595i	−0.884813	−	1.45258i
$301$	−12.8082	−	19.5921i	−0.738251	−	1.12927i
$302$	0.0876425	−	0.215538i	0.00504326	−	0.0124028i
$303$	−5.97996	−	22.3175i	−0.343540	−	1.28211i
$304$	−3.15997	−	5.15878i	−0.181237	−	0.295876i
$305$	0.0281336	+	5.35305i	0.00161093	+	0.306515i
$306$	−4.26682	+	34.1216i	−0.243918	+	1.95060i
$307$	−8.02311	−	8.02311i	−0.457903	−	0.457903i	0.440063	−	0.897967i	$-0.354956\pi$
$307$	−8.02311	−	8.02311i	−0.457903	−	0.457903i	−0.897967	+	0.440063i	$0.854956\pi$
$308$	−1.01296	−	14.7865i	−0.0577185	−	0.842540i
$309$	19.4571			1.10687
$310$	−28.5560	+	4.10146i	−1.62187	+	0.232947i
$311$	−17.6043	+	10.1639i	−0.998249	+	0.576339i	−0.907730	−	0.419555i	$-0.862186\pi$
$311$	−17.6043	+	10.1639i	−0.998249	+	0.576339i	−0.0905193	+	0.995895i	$0.528853\pi$
$312$	−28.2609	+	38.3558i	−1.59996	+	2.17147i
$313$	−17.5028	+	4.68987i	−0.989319	+	0.265087i	−0.716964	−	0.697110i	$-0.754469\pi$
$313$	−17.5028	+	4.68987i	−0.989319	+	0.265087i	−0.272354	+	0.962197i	$0.587802\pi$
$314$	5.83519	−	2.46156i	0.329299	−	0.138914i
$315$	32.9182	+	6.71197i	1.85473	+	0.378177i
$316$	−4.90668	+	5.03589i	−0.276022	+	0.283291i
$317$	3.86020	+	14.4065i	0.216811	+	0.809148i	0.985521	+	0.169551i	$0.0542319\pi$
$317$	3.86020	+	14.4065i	0.216811	+	0.809148i	−0.768711	+	0.639597i	$0.779101\pi$
$318$	−19.3525	+	2.67585i	−1.08524	+	0.150054i
$319$	1.43586	−	0.828992i	0.0803925	−	0.0464147i
$320$	3.86114	−	17.4669i	0.215844	−	0.976428i
$321$		−	41.9067i		−	2.33900i
$322$	−12.4253	+	10.8190i	−0.692438	+	0.602917i
$323$	−4.57922	−	4.57922i	−0.254795	−	0.254795i
$324$	−11.9567	+	3.37093i	−0.664263	+	0.187274i
$325$	−7.68917	−	27.5354i	−0.426519	−	1.52739i
$326$	−11.6182	−	8.79562i	−0.643474	−	0.487145i
$327$	−0.451717	−	1.68583i	−0.0249800	−	0.0932267i
$328$	−4.47032	−	10.2239i	−0.246832	−	0.564523i
$329$	−0.459207	−	8.28004i	−0.0253169	−	0.456494i
$330$	−25.9084	−	3.10158i	−1.42621	−	0.170736i
$331$	−8.02996	−	4.63610i	−0.441367	−	0.254823i	0.262810	−	0.964847i	$-0.415351\pi$
$331$	−8.02996	−	4.63610i	−0.441367	−	0.254823i	−0.704177	+	0.710024i	$0.748684\pi$
$332$	12.0572	+	20.2707i	0.661726	+	1.11250i
$333$	−4.10754	+	15.3295i	−0.225092	+	0.840053i
$334$	8.24043	+	1.03045i	0.450896	+	0.0563834i
$335$	−0.985183	+	0.269536i	−0.0538263	+	0.0147263i
$336$	17.7322	+	25.6434i	0.967370	+	1.39896i
$337$	−11.0923	−	11.0923i	−0.604234	−	0.604234i	0.337199	−	0.941433i	$-0.390520\pi$
$337$	−11.0923	−	11.0923i	−0.604234	−	0.604234i	−0.941433	+	0.337199i	$0.890520\pi$
$338$	−21.9841	+	17.0971i	−1.19578	+	0.929959i
$339$	4.58747	−	2.64858i	0.249157	−	0.143851i
$340$	−0.349479	−	19.1460i	−0.0189532	−	1.03834i
$341$	−12.7763	+	22.1292i	−0.691875	+	1.19836i
$342$	4.57507	−	11.2514i	0.247391	−	0.608407i
$343$	15.0820	+	10.7487i	0.814349	+	0.580376i
$344$	−23.3009	−	9.12359i	−1.25630	−	0.491911i
$345$	14.6347	+	25.0432i	0.787906	+	1.34828i
$346$	−9.73408	+	12.8578i	−0.523307	+	0.691241i
$347$	−12.0663	−	3.23316i	−0.647755	−	0.173565i	−0.0800412	−	0.996792i	$-0.525505\pi$
$347$	−12.0663	−	3.23316i	−0.647755	−	0.173565i	−0.567714	+	0.823226i	$0.692172\pi$
$348$	−1.70443	+	3.04281i	−0.0913670	+	0.163111i
$349$		−	16.1039i		−	0.862023i	−0.902346	−	0.431011i	$-0.858157\pi$
$349$		−	16.1039i		−	0.862023i	0.902346	−	0.431011i	$-0.141843\pi$
$350$	−18.6763	−	1.09358i	−0.998290	−	0.0584546i
$351$	−45.1206			−2.40836
$352$	−10.0488	−	12.2503i	−0.535601	−	0.652945i
$353$	8.72848	−	32.5751i	0.464570	−	1.73380i	−0.193741	−	0.981053i	$-0.562062\pi$
$353$	8.72848	−	32.5751i	0.464570	−	1.73380i	0.658311	−	0.752746i	$-0.271271\pi$
$354$	23.2989	+	17.6385i	1.23832	+	0.937476i
$355$	−6.04796	+	3.53430i	−0.320992	+	0.187581i
$356$	5.93175	+	5.77954i	0.314382	+	0.306315i
$357$	24.8698	+	22.2562i	1.31625	+	1.17792i
$358$	7.08755	−	17.4304i	0.374589	−	0.921223i
$359$	9.30759	+	5.37374i	0.491236	+	0.283615i	0.725087	−	0.688657i	$-0.241800\pi$
$359$	9.30759	+	5.37374i	0.491236	+	0.283615i	−0.233851	+	0.972272i	$0.575133\pi$
$360$	32.8310	−	14.5611i	1.73035	−	0.767435i
$361$	−8.35630	−	14.4735i	−0.439805	−	0.761765i
$362$	−15.7842	−	20.2959i	−0.829597	−	1.06673i
$363$	6.57166	−	6.57166i	0.344922	−	0.344922i
$364$	9.80976	+	28.6211i	0.514171	+	1.50015i
$365$	0.674785	+	2.46641i	0.0353199	+	0.129098i
$366$	−9.89681	−	1.23757i	−0.517314	−	0.0646889i
$367$	−8.64541	−	2.31653i	−0.451287	−	0.120922i	0.0260148	−	0.999662i	$-0.491718\pi$
$367$	−8.64541	−	2.31653i	−0.451287	−	0.120922i	−0.477301	+	0.878740i	$0.658385\pi$
$368$	−4.11489	+	17.1255i	−0.214504	+	0.892730i
$369$	11.2016	−	19.4017i	0.583132	−	1.01001i
$370$	1.05048	−	8.77501i	0.0546121	−	0.456191i
$371$	−5.59888	+	11.0716i	−0.290679	+	0.574807i
$372$	−0.698517	−	53.7466i	−0.0362164	−	2.78663i
$373$	−15.3952	+	4.12513i	−0.797134	+	0.213591i	−0.634325	−	0.773066i	$-0.718722\pi$
$373$	−15.3952	+	4.12513i	−0.797134	+	0.213591i	−0.162809	+	0.986658i	$0.552055\pi$
$374$	−13.5230	−	10.2376i	−0.699257	−	0.529375i
$375$	−8.02203	+	31.9450i	−0.414256	+	1.64963i
$376$	−5.53295	−	6.92682i	−0.285340	−	0.357223i
$377$	−2.39325	+	2.39325i	−0.123259	+	0.123259i
$378$	−9.59017	+	27.9257i	−0.493265	+	1.43634i
$379$	22.5064			1.15608			0.578038	−	0.816010i	$-0.303818\pi$
$379$	22.5064			1.15608			0.578038	+	0.816010i	$0.303818\pi$
$380$	−1.63106	+	6.56412i	−0.0836714	+	0.336732i
$381$	−11.0566	−	19.1505i	−0.566445	−	0.981112i
$382$	6.46367	−	0.893724i	0.330710	−	0.0457269i
$383$	0.606916	−	0.162623i	0.0310120	−	0.00830963i	−0.243280	−	0.969956i	$-0.578223\pi$
$383$	0.606916	−	0.162623i	0.0310120	−	0.00830963i	0.274292	+	0.961647i	$0.411557\pi$
$384$	31.3408	+	11.3414i	1.59935	+	0.578765i
$385$	−10.9853	+	12.4059i	−0.559863	+	0.632265i
$386$	−4.28952	−	10.1684i	−0.218331	−	0.517559i
$387$	−13.0031	−	48.5281i	−0.660982	−	2.46682i
$388$	−9.86388	−	16.5833i	−0.500763	−	0.841887i
$389$	19.6157	+	33.9754i	0.994555	+	1.72262i	0.587529	+	0.809203i	$0.300101\pi$
$389$	19.6157	+	33.9754i	0.994555	+	1.72262i	0.407026	+	0.913417i	$0.366566\pi$
$390$	52.7253	−	7.57287i	2.66985	−	0.383467i
$391$			18.8542i			0.953498i
$392$	19.7990	+	0.0118904i	1.00000	+	0.000600554i
$393$	−0.0673343	+	0.0673343i	−0.00339656	+	0.00339656i
$394$	4.33591	+	0.542195i	0.218440	+	0.0273154i
$395$	7.86085	−	0.0413137i	0.395522	−	0.00207872i
$396$	7.83337	−	30.8318i	0.393641	−	1.54935i
$397$	−30.3487	+	8.13191i	−1.52316	+	0.408129i	−0.920780	−	0.390082i	$-0.872447\pi$
$397$	−30.3487	+	8.13191i	−1.52316	+	0.408129i	−0.602378	+	0.798211i	$0.705780\pi$
$398$	−6.00427	+	14.7663i	−0.300967	+	0.740166i
$399$	−6.45036	−	9.86682i	−0.322922	−	0.493959i
$400$	−16.9440	+	10.6254i	−0.847201	+	0.531272i
$401$	7.79021	−	13.4930i	0.389025	−	0.673810i	−0.603294	−	0.797519i	$-0.706145\pi$
$401$	7.79021	−	13.4930i	0.389025	−	0.673810i	0.992319	+	0.123709i	$0.0394788\pi$
$402$	−0.260651	−	1.88511i	−0.0130001	−	0.0940205i
$403$	13.5006	−	50.3849i	0.672513	−	2.50985i
$404$	−15.0972	+	4.25632i	−0.751115	+	0.211760i
$405$	12.0647	+	6.88126i	0.599499	+	0.341932i
$406$	0.972539	+	1.98989i	0.0482663	+	0.0987564i
$407$	−5.53511	−	5.53511i	−0.274365	−	0.274365i
$408$	35.4574	+	3.96660i	1.75540	+	0.196376i
$409$	−17.1743	−	29.7467i	−0.849213	−	1.47088i	−0.881912	−	0.471415i	$-0.843744\pi$
$409$	−17.1743	−	29.7467i	−0.849213	−	1.47088i	0.0326989	−	0.999465i	$-0.489590\pi$
$410$	−4.63841	+	11.5813i	−0.229075	+	0.571959i
$411$	16.7649	−	29.0376i	0.826951	−	1.43232i
$412$	−0.171660	−	13.2082i	−0.00845709	−	0.650722i
$413$	17.6319	−	5.78832i	0.867609	−	0.284825i
$414$	−32.5815	+	13.7444i	−1.60129	+	0.675500i
$415$	6.69095	−	25.5064i	0.328446	−	1.25206i
$416$	26.2867	+	18.8462i	1.28881	+	0.924009i
$417$	6.48434	−	24.1999i	0.317539	−	1.18507i
$418$	3.67782	+	4.72908i	0.179888	+	0.231307i
$419$			26.1294i			1.27650i	0.769828	+	0.638252i	$0.220342\pi$
$419$			26.1294i			1.27650i	−0.769828	+	0.638252i	$0.779658\pi$
$420$	6.51957	−	34.2420i	0.318123	−	1.67084i
$421$		−	28.7621i		−	1.40178i	−0.713270	−	0.700889i	$-0.752787\pi$
$421$		−	28.7621i		−	1.40178i	0.713270	−	0.700889i	$-0.247213\pi$
$422$	22.0158	−	17.1217i	1.07171	−	0.833473i
$423$	4.60675	−	17.1926i	0.223988	−	0.835934i
$424$	1.98721	+	13.1136i	0.0965074	+	0.636855i
$425$	−14.9788	+	15.2971i	−0.726580	+	0.742017i
$426$	−5.07284	−	12.0253i	−0.245780	−	0.582629i
$427$	−4.22387	+	4.71988i	−0.204407	+	0.228411i
$428$	−28.4479	+	0.369722i	−1.37508	+	0.0178712i
$429$	23.5899	−	40.8590i	1.13893	−	1.97269i
$430$	11.0094	+	25.7198i	0.530920	+	1.24032i
$431$	14.8784	+	25.7702i	0.716668	+	1.24131i	0.962313	+	0.271945i	$0.0876669\pi$
$431$	14.8784	+	25.7702i	0.716668	+	1.24131i	−0.245645	+	0.969360i	$0.579000\pi$
$432$	8.95930	+	30.2670i	0.431055	+	1.45622i
$433$	25.0644	+	25.0644i	1.20452	+	1.20452i	0.972778	+	0.231738i	$0.0744413\pi$
$433$	25.0644	+	25.0644i	1.20452	+	1.20452i	0.231738	+	0.972778i	$0.425559\pi$
$434$	−28.3144	−	19.0648i	−1.35913	−	0.915139i
$435$	3.76110	−	1.02900i	0.180331	−	0.0493367i
$436$	−1.14042	+	0.321516i	−0.0546163	+	0.0153978i
$437$	1.72361	−	6.43261i	0.0824515	−	0.307713i
$438$	−4.71937	+	0.652542i	−0.225500	+	0.0311796i
$439$	−6.21342	+	10.7620i	−0.296550	+	0.513640i	−0.975344	−	0.220689i	$-0.929170\pi$
$439$	−6.21342	+	10.7620i	−0.296550	+	0.513640i	0.678794	+	0.734329i	$0.262503\pi$
$440$	−1.87689	+	17.6150i	−0.0894775	+	0.839762i
$441$	23.5602	+	32.0163i	1.12191	+	1.52458i
$442$	32.0738	+	13.0419i	1.52560	+	0.620339i
$443$	−19.7678	+	5.29676i	−0.939196	+	0.251657i	−0.695772	−	0.718263i	$-0.744937\pi$
$443$	−19.7678	+	5.29676i	−0.939196	+	0.251657i	−0.243424	+	0.969920i	$0.578271\pi$
$444$	15.9592	+	4.05472i	0.757390	+	0.192429i
$445$	−0.0486631	−	9.25924i	−0.00230685	−	0.438930i
$446$	4.23423	−	33.8610i	0.200497	−	1.60336i
$447$	−21.9001	+	21.9001i	−1.03584	+	1.03584i
$448$	17.2513	−	12.2635i	0.815045	−	0.579397i
$449$		−	10.1212i		−	0.477651i	−0.971062	−	0.238826i	$-0.923238\pi$
$449$		−	10.1212i		−	0.477651i	0.971062	−	0.238826i	$-0.0767624\pi$
$450$	−37.3538	−	14.7332i	−1.76087	−	0.694531i
$451$	5.52504	+	9.56966i	0.260164	+	0.450618i
$452$	−1.83843	−	3.09078i	−0.0864723	−	0.145378i
$453$	−0.125447	−	0.468173i	−0.00589400	−	0.0219967i
$454$	−33.6812	+	14.2083i	−1.58074	+	0.666830i
$455$	15.1064	−	30.2662i	0.708198	−	1.41890i
$456$	−11.7346	−	4.59475i	−0.549524	−	0.215169i
$457$	−15.5146	+	4.15713i	−0.725743	+	0.194462i	−0.602733	−	0.797943i	$-0.705921\pi$
$457$	−15.5146	+	4.15713i	−0.725743	+	0.194462i	−0.123010	+	0.992405i	$0.539255\pi$
$458$	4.61045	+	33.3441i	0.215432	+	1.55807i
$459$	16.8949	+	29.2628i	0.788585	+	1.36587i
$460$	16.8711	−	10.1555i	0.786621	−	0.473504i
$461$	−18.9594			−0.883028			−0.441514	−	0.897254i	$-0.645558\pi$
$461$	−18.9594			−0.883028			−0.441514	+	0.897254i	$0.645558\pi$
$462$	−20.2742	−	23.2845i	−0.943242	−	1.08329i
$463$	3.69866	−	3.69866i	0.171892	−	0.171892i	−0.615918	−	0.787810i	$-0.711215\pi$
$463$	3.69866	−	3.69866i	0.171892	−	0.171892i	0.787810	+	0.615918i	$0.211215\pi$
$464$	2.08061	+	1.13019i	0.0965899	+	0.0524676i
$465$	−42.2701	+	42.7168i	−1.96023	+	1.98094i
$466$	19.4272	−	25.6616i	0.899949	−	1.18875i
$467$	−4.65778	+	1.24805i	−0.215537	+	0.0577528i	−0.364971	−	0.931019i	$-0.618921\pi$
$467$	−4.65778	+	1.24805i	−0.215537	+	0.0577528i	0.149435	+	0.988772i	$0.452255\pi$
$468$	0.843903	+	64.9332i	0.0390094	+	3.00154i
$469$	−1.07847	−	0.545379i	−0.0497990	−	0.0251833i
$470$	−1.17816	+	9.84148i	−0.0543443	+	0.453954i
$471$	6.59632	−	11.4252i	0.303942	−	0.526443i
$472$	11.7681	−	15.9718i	0.541673	−	0.735161i
$473$	23.9359	+	6.41359i	1.10057	+	0.294897i
$474$	−1.81735	+	14.5333i	−0.0834736	+	0.667535i
$475$	6.50884	−	3.84966i	0.298646	−	0.176635i
$476$	14.8889	−	17.0789i	0.682433	−	0.782810i
$477$	−18.8296	+	18.8296i	−0.862149	+	0.862149i
$478$	14.3453	−	11.1564i	0.656139	−	0.510281i
$479$	−1.44656	−	2.50551i	−0.0660949	−	0.114480i	0.831084	−	0.556147i	$-0.187721\pi$
$479$	−1.44656	−	2.50551i	−0.0660949	−	0.114480i	−0.897179	+	0.441667i	$0.854387\pi$
$480$	−15.5492	−	33.8646i	−0.709722	−	1.54570i
$481$	13.8387	+	7.98975i	0.630988	+	0.364301i
$482$	36.1836	+	14.7130i	1.64812	+	0.670159i
$483$	−7.03336	+	33.5917i	−0.320029	+	1.52847i
$484$	−4.51907	−	4.40311i	−0.205412	−	0.200142i
$485$	−5.47380	+	20.8666i	−0.248553	+	0.947501i
$486$	4.58844	−	6.06091i	0.208136	−	0.274928i
$487$	4.27228	−	15.9443i	0.193595	−	0.722507i	−0.799031	−	0.601290i	$-0.794654\pi$
$487$	4.27228	−	15.9443i	0.193595	−	0.722507i	0.992626	−	0.121217i	$-0.0386798\pi$
$488$	−0.752796	+	6.72925i	−0.0340775	+	0.304619i
$489$	−30.3553			−1.37271
$490$	−15.5214	−	15.7825i	−0.701184	−	0.712980i
$491$		−	43.4430i		−	1.96055i	−0.197627	−	0.980277i	$-0.563324\pi$
$491$		−	43.4430i		−	1.96055i	0.197627	−	0.980277i	$-0.436676\pi$
$492$	−20.2796	−	11.3596i	−0.914275	−	0.512132i
$493$	2.44825	+	0.656008i	0.110264	+	0.0295451i
$494$	−9.75056	−	7.38170i	−0.438698	−	0.332118i
$495$	−30.7073	+	17.9447i	−1.38019	+	0.806554i
$496$	−36.4791	+	0.948360i	−1.63796	+	0.0425826i
$497$	−8.11243	−	1.69857i	−0.363892	−	0.0761911i
$498$	45.5126	+	18.5064i	2.03947	+	0.829290i
$499$	−4.56263	+	7.90271i	−0.204251	+	0.353774i	−0.949894	−	0.312572i	$-0.898809\pi$
$499$	−4.56263	+	7.90271i	−0.204251	+	0.353774i	0.745643	+	0.666346i	$0.232143\pi$
$500$	21.7563	+	5.16383i	0.972970	+	0.230933i
$501$	14.9817	−	8.64970i	0.669334	−	0.386440i
$502$	13.9573	+	17.9469i	0.622946	+	0.801008i
$503$	−5.06924	−	5.06924i	−0.226026	−	0.226026i	0.585004	−	0.811030i	$-0.301093\pi$
$503$	−5.06924	−	5.06924i	−0.226026	−	0.226026i	−0.811030	+	0.585004i	$0.801093\pi$
$504$	40.3674	+	13.2790i	1.79811	+	0.591492i
$505$	15.2335	+	8.68865i	0.677883	+	0.386640i
$506$	2.16420	−	17.3070i	0.0962104	−	0.769390i
$507$	−15.0152	+	56.0374i	−0.666847	+	2.48871i
$508$	−12.9026	+	7.67458i	−0.572459	+	0.340504i
$509$	19.8831	+	11.4795i	0.881301	+	0.508819i	0.871087	−	0.491128i	$-0.163415\pi$
$509$	19.8831	+	11.4795i	0.881301	+	0.508819i	0.0102140	+	0.999948i	$0.496749\pi$
$510$	−24.6537	−	31.3592i	−1.09168	−	1.38861i
$511$	−1.36536	+	2.69995i	−0.0603999	+	0.119439i
$512$	7.42249	−	21.3754i	0.328031	−	0.944667i
$513$	−3.08899	−	11.5283i	−0.136382	−	0.508985i
$514$	11.1982	−	14.7917i	0.493930	−	0.652436i
$515$	−10.3879	+	10.4976i	−0.457744	+	0.462581i
$516$	−50.1707	+	14.1445i	−2.20864	+	0.622677i
$517$	6.20782	+	6.20782i	0.273020	+	0.273020i
$518$	7.88631	−	6.86674i	0.346504	−	0.301707i
$519$			33.5940i			1.47461i
$520$	−5.60592	−	35.7251i	−0.245836	−	1.56665i
$521$	−6.93031	+	4.00122i	−0.303622	+	0.175296i	−0.644069	−	0.764967i	$-0.722755\pi$
$521$	−6.93031	+	4.00122i	−0.303622	+	0.175296i	0.340447	+	0.940264i	$0.389422\pi$
$522$	0.651105	+	4.70898i	0.0284981	+	0.206107i
$523$	4.19837	+	15.6685i	0.183582	+	0.685137i	0.994930	+	0.100573i	$0.0320677\pi$
$523$	4.19837	+	15.6685i	0.183582	+	0.685137i	−0.811348	+	0.584564i	$0.801266\pi$
$524$	0.0463031	+	0.0451150i	0.00202276	+	0.00197086i
$525$	−32.3935	+	21.6664i	−1.41377	+	0.945599i
$526$	12.9638	+	30.7310i	0.565247	+	1.33993i
$527$	−37.7321	+	10.1103i	−1.64363	+	0.440411i
$528$	−32.0924	−	7.71111i	−1.39664	−	0.335583i
$529$	3.12764	−	1.80574i	0.135984	−	0.0785105i
$530$	8.88836	−	11.8698i	0.386086	−	0.515593i
$531$	39.8312			1.72853
$532$	−6.64107	+	4.46580i	−0.287927	+	0.193617i
$533$	−15.9504	−	15.9504i	−0.690890	−	0.690890i
$534$	17.1186	+	2.14064i	0.740796	+	0.0926347i
$535$	22.6098	+	22.3734i	0.977507	+	0.967286i
$536$	−1.27738	+	0.193571i	−0.0551745	+	0.00836101i
$537$	−10.1447	−	37.8607i	−0.437778	−	1.63381i
$538$	26.1775	+	10.6443i	1.12859	+	0.458910i
$539$	−19.4863	+	2.16807i	−0.839336	+	0.0933856i
$540$	17.0848	−	30.8798i	0.735211	−	1.32886i
$541$	33.5018	+	19.3422i	1.44035	+	0.831588i	0.997873	−	0.0651901i	$-0.0207654\pi$
$541$	33.5018	+	19.3422i	1.44035	+	0.831588i	0.442480	+	0.896778i	$0.354099\pi$
$542$	−3.84992	−	27.8438i	−0.165368	−	1.19599i
$543$	−51.7341	−	13.8621i	−2.22012	−	0.594880i
$544$	2.37985	−	24.1049i	0.102035	−	1.03349i
$545$	1.15072	+	0.656328i	0.0492913	+	0.0281140i
$546$	52.2793	+	35.2009i	2.23735	+	1.50646i
$547$	−18.5324	+	18.5324i	−0.792387	+	0.792387i	−0.981882	−	0.189495i	$-0.939315\pi$
$547$	−18.5324	+	18.5324i	−0.792387	+	0.792387i	0.189495	+	0.981882i	$0.439315\pi$
$548$	−19.8598	−	11.1245i	−0.848367	−	0.475214i
$549$	−11.7734	+	6.79736i	−0.502475	+	0.290104i
$550$	15.5055	−	12.3224i	0.661158	−	0.525429i
$551$	−0.775315	−	0.447628i	−0.0330295	−	0.0190696i
$552$	14.6986	+	33.6167i	0.625614	+	1.43082i
$553$	6.93105	+	6.20266i	0.294738	+	0.263764i
$554$	−6.20252	−	14.7033i	−0.263520	−	0.624682i
$555$	−9.28857	−	15.8948i	−0.394278	−	0.674695i
$556$	−16.4850	−	4.18831i	−0.699120	−	0.177624i
$557$	3.91409	+	1.04878i	0.165845	+	0.0444382i	0.340786	−	0.940141i	$-0.389307\pi$
$557$	3.91409	+	1.04878i	0.165845	+	0.0444382i	−0.174941	+	0.984579i	$0.555973\pi$
$558$	−44.9774	−	57.8336i	−1.90404	−	2.44829i
$559$	−50.5856			−2.13954
$560$	−23.3023	−	4.12364i	−0.984700	−	0.174255i
$561$	−35.3319			−1.49171
$562$	−27.9558	−	35.9466i	−1.17924	−	1.51632i
$563$	22.7482	+	6.09536i	0.958722	+	0.256889i	0.704059	−	0.710141i	$-0.251369\pi$
$563$	22.7482	+	6.09536i	0.958722	+	0.256889i	0.254663	+	0.967030i	$0.418035\pi$
$564$	−17.8988	−	4.54752i	−0.753676	−	0.191485i
$565$	−1.02021	+	3.88910i	−0.0429204	+	0.163616i
$566$	−3.97121	−	9.41387i	−0.166922	−	0.395694i
$567$	5.12587	+	15.6140i	0.215267	+	0.655726i
$568$	−8.11849	+	3.54973i	−0.340644	+	0.148944i
$569$	37.2522	+	21.5076i	1.56169	+	0.901645i	0.997086	+	0.0762863i	$0.0243063\pi$
$569$	37.2522	+	21.5076i	1.56169	+	0.901645i	0.564609	+	0.825359i	$0.309027\pi$
$570$	5.54447	+	12.9528i	0.232232	+	0.542533i
$571$	−37.0360	+	21.3827i	−1.54991	+	0.894839i	−0.551758	+	0.834004i	$0.686043\pi$
$571$	−37.0360	+	21.3827i	−1.54991	+	0.894839i	−0.998148	+	0.0608349i	$0.980624\pi$
$572$	−27.9448	−	15.6533i	−1.16843	−	0.654496i
$573$	9.61144	−	9.61144i	0.401524	−	0.401524i
$574$	−13.2621	+	6.48175i	−0.553551	+	0.270543i
$575$	−21.3247	−	5.47437i	−0.889303	−	0.228297i
$576$	43.3899	−	13.4595i	1.80791	−	0.560811i
$577$	37.7055	+	10.1031i	1.56970	+	0.420599i	0.935718	−	0.352749i	$-0.114753\pi$
$577$	37.7055	+	10.1031i	1.56970	+	0.420599i	0.633981	+	0.773349i	$0.281420\pi$
$578$	−0.258515	−	1.86965i	−0.0107528	−	0.0777674i
$579$	−19.9095	−	11.4948i	−0.827411	−	0.477706i
$580$	−0.731706	−	2.54410i	−0.0303824	−	0.105638i
$581$	26.1153	−	17.0727i	1.08345	−	0.708294i
$582$	−37.2334	−	15.1399i	−1.54337	−	0.627568i
$583$	−3.39945	−	12.6869i	−0.140791	−	0.525438i
$584$	0.484607	+	3.19793i	0.0200532	+	0.132331i
$585$	51.0680	−	51.6077i	2.11140	−	2.13371i
$586$	11.7013	+	1.46322i	0.483378	+	0.0604452i
$587$	10.3437	+	10.3437i	0.426931	+	0.426931i	0.887581	−	0.460651i	$-0.152384\pi$
$587$	10.3437	+	10.3437i	0.426931	+	0.426931i	−0.460651	+	0.887581i	$0.652384\pi$
$588$	32.8980	−	24.8745i	1.35669	−	1.02581i
$589$	13.7975			0.568518
$590$	−21.9554	+	3.15343i	−0.903889	+	0.129824i
$591$	7.88301	−	4.55126i	0.324264	−	0.187214i
$592$	2.61170	−	10.8695i	0.107340	−	0.446733i
$593$	38.0338	−	10.1911i	1.56186	−	0.418499i	0.628608	−	0.777722i	$-0.283625\pi$
$593$	38.0338	−	10.1911i	1.56186	−	0.418499i	0.933252	+	0.359223i	$0.116958\pi$
$594$	−12.1495	−	28.8007i	−0.498500	−	1.18171i
$595$	−25.2854	+	1.53566i	−1.03660	+	0.0629558i
$596$	15.0598	+	14.6734i	0.616874	+	0.601045i
$597$	8.59419	+	32.0740i	0.351737	+	1.31270i
$598$	4.87669	+	35.2696i	0.199423	+	1.44228i
$599$	26.7981	−	15.4719i	1.09494	−	0.632163i	0.160052	−	0.987109i	$-0.448834\pi$
$599$	26.7981	−	15.4719i	1.09494	−	0.632163i	0.934887	+	0.354945i	$0.115500\pi$
$600$	−14.7815	+	38.9518i	−0.603453	+	1.59020i
$601$		−	27.4576i		−	1.12002i	−0.828486	−	0.560009i	$-0.810798\pi$
$601$		−	27.4576i		−	1.12002i	0.828486	−	0.560009i	$-0.189202\pi$
$602$	−10.7517	+	31.3081i	−0.438209	+	1.27602i
$603$	−1.83417	−	1.83417i	−0.0746931	−	0.0746931i
$604$	−0.316707	+	0.0892885i	−0.0128866	+	0.00363310i
$605$	0.0370737	+	7.05410i	0.00150726	+	0.286790i
$606$	−19.7225	+	26.0516i	−0.801171	+	1.05827i
$607$	10.3076	+	38.4686i	0.418374	+	1.56139i	0.777981	+	0.628288i	$0.216244\pi$
$607$	10.3076	+	38.4686i	0.418374	+	1.56139i	−0.359608	+	0.933104i	$0.617089\pi$
$608$	−3.01557	+	8.00644i	−0.122297	+	0.324704i
$609$	4.11722	+	2.08207i	0.166838	+	0.0843699i
$610$	5.95147	−	4.67888i	0.240968	−	0.189442i
$611$	−15.5205	−	8.96079i	−0.627894	−	0.362515i
$612$	41.7962	−	24.8608i	1.68951	−	1.00494i
$613$	−4.50145	+	16.7996i	−0.181812	+	0.678531i	0.813479	+	0.581595i	$0.197571\pi$
$613$	−4.50145	+	16.7996i	−0.181812	+	0.678531i	−0.995291	+	0.0969365i	$0.969096\pi$
$614$	−1.99104	+	15.9222i	−0.0803517	+	0.642569i
$615$	6.85804	+	25.0668i	0.276543	+	1.01079i
$616$	−15.6275	+	13.9683i	−0.629652	+	0.562801i
$617$	16.8675	+	16.8675i	0.679062	+	0.679062i	0.959788	−	0.280726i	$-0.0905753\pi$
$617$	16.8675	+	16.8675i	0.679062	+	0.679062i	−0.280726	+	0.959788i	$0.590575\pi$
$618$	−16.8925	−	21.7210i	−0.679514	−	0.873746i
$619$	19.0038	−	10.9719i	0.763829	−	0.440997i	−0.0668399	−	0.997764i	$-0.521292\pi$
$619$	19.0038	−	10.9719i	0.763829	−	0.440997i	0.830669	+	0.556767i	$0.187958\pi$
$620$	29.3707	+	28.3177i	1.17956	+	1.13727i
$621$	−17.3736	+	30.0920i	−0.697180	+	1.20755i
$622$	26.6304	+	10.8285i	1.06778	+	0.434182i
$623$	7.30608	−	8.16404i	0.292712	−	0.327085i
$624$	67.3544	−	1.75104i	2.69634	−	0.0700975i
$625$	−12.9524	−	21.3831i	−0.518094	−	0.855324i
$626$	20.4314	+	15.4676i	0.816601	+	0.618211i
$627$	12.0544	+	3.22997i	0.481406	+	0.128992i
$628$	−7.81403	−	4.37703i	−0.311814	−	0.174663i
$629$		−	11.9667i		−	0.477142i
$630$	−21.0864	−	42.5757i	−0.840102	−	1.69626i
$631$	−42.0468			−1.67386			−0.836929	−	0.547311i	$-0.815651\pi$
$631$	−42.0468			−1.67386			−0.836929	+	0.547311i	$0.815651\pi$
$632$	9.88177	+	1.10547i	0.393076	+	0.0439731i
$633$	15.0368	−	56.1181i	0.597659	−	2.23050i
$634$	12.7313	−	16.8169i	0.505625	−	0.667885i
$635$	16.2352	+	4.25888i	0.644274	+	0.169009i
$636$	19.7889	+	19.2811i	0.784681	+	0.764547i
$637$	37.2779	−	14.5706i	1.47701	−	0.577307i
$638$	−2.17205	−	0.883200i	−0.0859921	−	0.0349662i
$639$	−15.4063	−	8.89481i	−0.609462	−	0.351873i
$640$	−22.8514	+	10.8542i	−0.903281	+	0.429049i
$641$	4.50057	+	7.79521i	0.177762	+	0.307892i	0.941114	−	0.338091i	$-0.109781\pi$
$641$	4.50057	+	7.79521i	0.177762	+	0.307892i	−0.763352	+	0.645983i	$0.776448\pi$
$642$	−46.7827	+	36.3830i	−1.84636	+	1.43592i
$643$	−2.76326	+	2.76326i	−0.108972	+	0.108972i	−0.759491	−	0.650518i	$-0.774552\pi$
$643$	−2.76326	+	2.76326i	−0.108972	+	0.108972i	0.650518	+	0.759491i	$0.274552\pi$
$644$	22.8654	+	4.47815i	0.901021	+	0.176464i
$645$	50.6237	+	28.8739i	1.99331	+	1.13691i
$646$	−1.13639	+	9.08767i	−0.0447107	+	0.357550i
$647$	−42.7198	−	11.4467i	−1.67949	−	0.450018i	−0.711846	−	0.702336i	$-0.752140\pi$
$647$	−42.7198	−	11.4467i	−1.67949	−	0.450018i	−0.967644	+	0.252318i	$0.918807\pi$
$648$	14.1439	+	10.4213i	0.555624	+	0.409388i
$649$	−9.82311	+	17.0141i	−0.385591	+	0.667863i
$650$	−24.0635	+	32.4898i	−0.943849	+	1.27435i
$651$	−70.9970	+	3.93746i	−2.78259	+	0.154321i
$652$	0.267810	+	20.6063i	0.0104882	+	0.807006i
$653$	21.1610	−	5.67007i	0.828093	−	0.221887i	0.180211	−	0.983628i	$-0.442322\pi$
$653$	21.1610	−	5.67007i	0.828093	−	0.221887i	0.647882	+	0.761741i	$0.275655\pi$
$654$	−1.48981	+	1.96790i	−0.0582561	+	0.0769510i
$655$	−0.000379864	−	0.0722775i	−1.48425e−5	−	0.00282412i
$656$	−7.53244	+	13.8668i	−0.294092	+	0.541407i
$657$	−4.59185	+	4.59185i	−0.179145	+	0.179145i
$658$	−8.84478	+	7.70130i	−0.344805	+	0.300228i
$659$	−12.1787			−0.474416			−0.237208	−	0.971459i	$-0.576232\pi$
$659$	−12.1787			−0.474416			−0.237208	+	0.971459i	$0.576232\pi$
$660$	19.0310	+	31.6157i	0.740780	+	1.23064i
$661$	−5.61675	−	9.72849i	−0.218466	−	0.378394i	0.735873	−	0.677119i	$-0.236772\pi$
$661$	−5.61675	−	9.72849i	−0.218466	−	0.378394i	−0.954339	+	0.298725i	$0.903439\pi$
$662$	1.79601	+	12.9893i	0.0698041	+	0.504843i
$663$	69.6679	−	18.6675i	2.70568	−	0.724984i
$664$	12.1613	−	31.0589i	0.471950	−	1.20532i
$665$	8.76718	+	1.78761i	0.339977	+	0.0693206i
$666$	20.6793	−	8.72350i	0.801307	−	0.338029i
$667$	0.674598	+	2.51763i	0.0261205	+	0.0974832i
$668$	−6.00392	−	10.0938i	−0.232299	−	0.390543i
$669$	−35.5427	−	61.5618i	−1.37416	−	2.38012i
$670$	1.15622	+	0.865803i	0.0446688	+	0.0334489i
$671$		−	6.70542i		−	0.258860i
$672$	13.2321	−	42.0587i	0.510441	−	1.62245i
$673$	−11.6856	+	11.6856i	−0.450448	+	0.450448i	−0.895503	−	0.445055i	$-0.853184\pi$
$673$	−11.6856	+	11.6856i	−0.450448	+	0.450448i	0.445055	+	0.895503i	$0.353184\pi$
$674$	−2.75268	+	22.0131i	−0.106029	+	0.847912i
$675$	−38.0026	+	10.6121i	−1.46272	+	0.408461i
$676$	38.1728	+	9.69848i	1.46818	+	0.373018i
$677$	0.891019	−	0.238748i	0.0342447	−	0.00917583i	−0.241656	−	0.970362i	$-0.577691\pi$
$677$	0.891019	−	0.238748i	0.0342447	−	0.00917583i	0.275901	+	0.961186i	$0.411024\pi$
$678$	−6.93954	−	2.82176i	−0.266512	−	0.108369i
$679$	−21.3647	+	13.9670i	−0.819901	+	0.536004i
$680$	−21.0703	+	17.0125i	−0.808010	+	0.652401i
$681$	−38.0745	+	65.9470i	−1.45902	+	2.52709i
$682$	35.7962	−	4.94950i	1.37071	−	0.189526i
$683$	4.79525	−	17.8961i	0.183485	−	0.684776i	−0.811464	−	0.584402i	$-0.801329\pi$
$683$	4.79525	−	17.8961i	0.183485	−	0.684776i	0.994950	−	0.100375i	$-0.0320041\pi$
$684$	−16.5326	+	4.66099i	−0.632139	+	0.178217i
$685$	6.71606	+	24.5479i	0.256608	+	0.937927i
$686$	−1.09466	−	26.1687i	−0.0417943	−	0.999126i
$687$	49.5825	+	49.5825i	1.89169	+	1.89169i
$688$	10.0445	+	33.9330i	0.382942	+	1.29368i
$689$	13.4062	+	23.2201i	0.510734	+	0.884617i
$690$	15.2513	−	38.0797i	0.580607	−	1.44967i
$691$	2.59904	−	4.50167i	0.0988723	−	0.171252i	−0.812346	−	0.583176i	$-0.801810\pi$
$691$	2.59904	−	4.50167i	0.0988723	−	0.171252i	0.911218	+	0.411924i	$0.135143\pi$
$692$	22.8049	−	0.296384i	0.866913	−	0.0112668i
$693$	−41.1892	−	8.62413i	−1.56465	−	0.327604i
$694$	6.86653	+	16.2773i	0.260650	+	0.617878i
$695$	9.59460	+	16.4185i	0.363944	+	0.622788i
$696$	4.87662	−	0.738990i	0.184848	−	0.0280114i
$697$	−4.37214	+	16.3171i	−0.165607	+	0.618052i
$698$	−17.9777	+	13.9813i	−0.680464	+	0.529199i
$699$		−	67.0469i		−	2.53595i
$700$	14.9938	+	21.7988i	0.566711	+	0.823917i
$701$		−	9.41019i		−	0.355418i	−0.984083	−	0.177709i	$-0.943131\pi$
$701$		−	9.41019i		−	0.355418i	0.984083	−	0.177709i	$-0.0568686\pi$
$702$	39.1733	+	50.3705i	1.47850	+	1.90111i
$703$	−1.09397	+	4.08274i	−0.0412598	+	0.153984i
$704$	−4.95146	+	21.8536i	−0.186615	+	0.823639i
$705$	10.4175	+	17.8266i	0.392344	+	0.671387i
$706$	−43.9433	+	18.5374i	−1.65383	+	0.697663i
$707$	6.47221	+	19.7151i	0.243413	+	0.741462i
$708$	−0.537058	−	41.3234i	−0.0201839	−	1.55303i
$709$	0.702599	−	1.21694i	0.0263867	−	0.0457030i	−0.852531	−	0.522677i	$-0.824933\pi$
$709$	0.702599	−	1.21694i	0.0263867	−	0.0457030i	0.878917	+	0.476974i	$0.158267\pi$
$710$	9.19631	+	3.68321i	0.345131	+	0.138228i
$711$	9.98178	+	17.2890i	0.374346	+	0.648386i
$712$	1.30212	−	11.6397i	0.0487991	−	0.436215i
$713$	−28.4046	−	28.4046i	−1.06376	−	1.06376i
$714$	3.25406	−	47.0861i	0.121780	−	1.76215i
$715$	9.45020	+	34.5414i	0.353417	+	1.29178i
$716$	−25.6118	+	7.22067i	−0.957157	+	0.269849i
$717$	9.79787	−	36.5661i	0.365908	−	1.36559i
$718$	−2.08177	−	15.0560i	−0.0776910	−	0.561884i
$719$	−4.04242	+	7.00168i	−0.150757	+	0.261119i	−0.931506	−	0.363726i	$-0.881504\pi$
$719$	−4.04242	+	7.00168i	−0.150757	+	0.261119i	0.780749	+	0.624845i	$0.214838\pi$
$720$	−44.7589	−	24.0092i	−1.66806	−	0.894771i
$721$	−17.4475	+	0.967629i	−0.649778	+	0.0360364i
$722$	−8.90272	+	21.8944i	−0.331325	+	0.814824i
$723$	78.5948	−	21.0594i	2.92297	−	0.783208i
$724$	−8.95371	+	35.2414i	−0.332762	+	1.30974i
$725$	−1.45282	+	2.57858i	−0.0539565	+	0.0957662i
$726$	−13.0417	−	1.63084i	−0.484024	−	0.0605261i
$727$	36.2679	−	36.2679i	1.34510	−	1.34510i	0.454203	−	0.890898i	$-0.349924\pi$
$727$	36.2679	−	36.2679i	1.34510	−	1.34510i	0.890898	−	0.454203i	$-0.150076\pi$
$728$	23.4345	−	35.7997i	0.868540	−	1.32683i
$729$		−	34.4697i		−	1.27666i
$730$	2.16754	−	2.89461i	0.0802243	−	0.107134i
$731$	18.9412	+	32.8071i	0.700565	+	1.21341i
$732$	7.21075	+	12.1228i	0.266517	+	0.448071i
$733$	13.6257	+	50.8519i	0.503278	+	1.87826i	0.477580	+	0.878588i	$0.341514\pi$
$733$	13.6257	+	50.8519i	0.503278	+	1.87826i	0.0256981	+	0.999670i	$0.491819\pi$
$734$	4.91980	+	11.6625i	0.181593	+	0.430471i
$735$	−45.6228	−	6.69646i	−1.68282	−	0.247003i
$736$	22.6907	−	10.2746i	0.836389	−	0.378725i
$737$	1.23582	−	0.331136i	0.0455219	−	0.0121975i
$738$	−31.3843	+	4.33947i	−1.15527	+	0.159738i
$739$	−15.7997	−	27.3659i	−0.581202	−	1.00667i	−0.995337	−	0.0964558i	$-0.969249\pi$
$739$	−15.7997	−	27.3659i	−0.581202	−	1.00667i	0.414135	−	0.910215i	$-0.364084\pi$
$740$	−10.7080	+	6.44567i	−0.393635	+	0.236947i
$741$	−25.4756			−0.935868
$742$	17.2207	−	3.36191i	0.632191	−	0.123420i
$743$	−33.7001	+	33.7001i	−1.23634	+	1.23634i	−0.274851	+	0.961487i	$0.588628\pi$
$743$	−33.7001	+	33.7001i	−1.23634	+	1.23634i	−0.961487	+	0.274851i	$0.911372\pi$
$744$	−59.3938	+	47.4421i	−2.17748	+	1.73931i
$745$	−0.123548	−	23.5078i	−0.00452646	−	0.861259i
$746$	17.9711	+	13.6051i	0.657968	+	0.498118i
$747$	64.6856	−	17.3324i	2.36672	−	0.634161i
$748$	0.311716	+	23.9846i	0.0113975	+	0.876965i
$749$	2.08408	+	37.5784i	0.0761506	+	1.37309i
$750$	42.6266	−	18.7789i	1.55650	−	0.685710i
$751$	15.3435	−	26.5758i	0.559894	−	0.969764i	−0.437611	−	0.899164i	$-0.644175\pi$
$751$	15.3435	−	26.5758i	0.559894	−	0.969764i	0.997505	−	0.0705997i	$-0.0224913\pi$
$752$	−2.92912	+	12.1905i	−0.106814	+	0.444543i
$753$	45.7465	+	12.2577i	1.66709	+	0.446697i
$754$	4.74950	+	0.593914i	0.172967	+	0.0216291i
$755$	0.319567	+	0.182269i	0.0116302	+	0.00663346i
$756$	39.5011	−	13.5388i	1.43664	−	0.492403i
$757$	12.0963	−	12.0963i	0.439648	−	0.439648i	−0.452245	−	0.891894i	$-0.649377\pi$
$757$	12.0963	−	12.0963i	0.439648	−	0.439648i	0.891894	+	0.452245i	$0.149377\pi$
$758$	−19.5399	−	25.1251i	−0.709719	−	0.912585i
$759$	−18.1666	−	31.4654i	−0.659405	−	1.14212i
$760$	8.74394	−	3.87807i	0.317176	−	0.140672i
$761$	−19.2796	−	11.1311i	−0.698884	−	0.403501i	0.108048	−	0.994146i	$-0.465540\pi$
$761$	−19.2796	−	11.1311i	−0.698884	−	0.403501i	−0.806932	+	0.590645i	$0.798873\pi$
$762$	−11.7796	+	28.9694i	−0.426728	+	1.04945i
$763$	0.488901	+	1.48925i	0.0176994	+	0.0539144i
$764$	−6.60941	−	6.43982i	−0.239120	−	0.232984i
$765$	−52.5918	−	13.7961i	−1.90146	−	0.498799i
$766$	−0.708463	−	0.536345i	−0.0255978	−	0.0193789i
$767$	10.3800	−	38.7387i	0.374800	−	1.39877i
$768$	−14.5487	−	44.8339i	−0.524982	−	1.61780i
$769$	5.85860			0.211267			0.105633	−	0.994405i	$-0.466313\pi$
$769$	5.85860			0.211267			0.105633	+	0.994405i	$0.466313\pi$
$770$	23.3868	+	1.49278i	0.842800	+	0.0537959i
$771$		−	38.6468i		−	1.39183i
$772$	−7.62743	+	13.6168i	−0.274517	+	0.490078i
$773$	26.7467	+	7.16676i	0.962013	+	0.257771i	0.705452	−	0.708757i	$-0.250744\pi$
$773$	26.7467	+	7.16676i	0.962013	+	0.257771i	0.256561	+	0.966528i	$0.417411\pi$
$774$	−42.8853	+	56.6476i	−1.54148	+	2.03616i
$775$	−0.479450	−	45.6118i	−0.0172224	−	1.63842i
$776$	−9.94904	+	25.4090i	−0.357150	+	0.912130i
$777$	4.46404	−	21.3205i	0.160147	−	0.764867i
$778$	20.8984	−	51.3951i	0.749242	−	1.84261i
$779$	2.98334	−	5.16730i	0.106889	−	0.185138i
$780$	−54.2296	−	52.2853i	−1.94173	−	1.87212i
$781$	7.59895	−	4.38725i	0.271912	−	0.156988i
$782$	21.0480	−	16.3691i	0.752673	−	0.585356i
$783$	3.30301	+	3.30301i	0.118040	+	0.118040i
$784$	−17.1760	−	22.1130i	−0.613429	−	0.789750i
$785$	2.64250	+	9.65862i	0.0943150	+	0.344731i
$786$	0.133628	+	0.0167098i	0.00476635	+	0.000596020i
$787$	8.38308	−	31.2861i	0.298825	−	1.11523i	−0.639308	−	0.768951i	$-0.720779\pi$
$787$	8.38308	−	31.2861i	0.298825	−	1.11523i	0.938132	−	0.346277i	$-0.112554\pi$
$788$	−3.15912	−	5.31114i	−0.112539	−	0.189201i
$789$	60.1704	+	34.7394i	2.14212	+	1.23676i
$790$	−6.87084	−	8.73961i	−0.244453	−	0.310941i
$791$	−3.98194	+	2.60316i	−0.141581	+	0.0925578i
$792$	−41.2200	+	18.0231i	−1.46469	+	0.640422i
$793$	3.54278	+	13.2218i	0.125808	+	0.469521i
$794$	35.4266	+	26.8198i	1.25724	+	0.951800i
$795$	−0.162345	−	30.8898i	−0.00575778	−	1.09555i
$796$	21.6972	−	6.11704i	0.769037	−	0.216813i
$797$	−20.3358	−	20.3358i	−0.720332	−	0.720332i	0.248341	−	0.968673i	$-0.420115\pi$
$797$	−20.3358	−	20.3358i	−0.720332	−	0.720332i	−0.968673	+	0.248341i	$0.920115\pi$
$798$	−5.41472	+	15.7672i	−0.191679	+	0.558152i
$799$			13.4211i			0.474803i
$800$	26.5724	+	9.69061i	0.939476	+	0.342615i
$801$	20.3646	−	11.7575i	0.719546	−	0.415430i
$802$	−21.8264	+	3.01791i	−0.770717	+	0.106566i
$803$	−0.829000	−	3.09387i	−0.0292548	−	0.109180i
$804$	−1.87815	+	1.92761i	−0.0662372	+	0.0679816i
$805$	−14.3686	−	21.7288i	−0.506427	−	0.765840i
$806$	−67.9685	+	28.6723i	−2.39409	+	1.00994i
$807$	56.8605	−	15.2357i	2.00158	−	0.536323i
$808$	17.8588	+	13.1585i	0.628271	+	0.462916i
$809$	−22.9926	+	13.2748i	−0.808376	+	0.466716i	−0.846391	−	0.532561i	$-0.821230\pi$
$809$	−22.9926	+	13.2748i	−0.808376	+	0.466716i	0.0380158	+	0.999277i	$0.487896\pi$
$810$	−2.79253	−	19.4427i	−0.0981195	−	0.683146i
$811$	0.526629			0.0184924			0.00924622	−	0.999957i	$-0.497057\pi$
$811$	0.526629			0.0184924			0.00924622	+	0.999957i	$0.497057\pi$
$812$	1.37707	−	2.81330i	0.0483256	−	0.0987274i
$813$	−41.4035	−	41.4035i	−1.45208	−	1.45208i
$814$	−1.37361	+	10.9847i	−0.0481449	+	0.385012i
$815$	16.2063	−	16.3775i	0.567680	−	0.573679i
$816$	−26.3557	−	43.0268i	−0.922634	−	1.50624i
$817$	−3.46313	−	12.9246i	−0.121160	−	0.452173i
$818$	−18.2973	+	44.9984i	−0.639750	+	1.57333i
$819$	85.7740	−	4.75699i	2.99719	−	0.166223i
$820$	16.9558	−	4.87665i	0.592123	−	0.170300i
$821$	0.885087	+	0.511005i	0.0308897	+	0.0178342i	0.515365	−	0.856971i	$-0.327656\pi$
$821$	0.885087	+	0.511005i	0.0308897	+	0.0178342i	−0.484476	+	0.874805i	$0.660990\pi$
$822$	−46.9714	+	6.49468i	−1.63832	+	0.226528i
$823$	8.03333	+	2.15252i	0.280024	+	0.0750323i	0.396098	−	0.918208i	$-0.370364\pi$
$823$	8.03333	+	2.15252i	0.280024	+	0.0750323i	−0.116074	+	0.993241i	$0.537031\pi$
$824$	−14.5960	+	11.6589i	−0.508476	+	0.406156i
$825$	10.2587	−	39.9615i	0.357162	−	1.39128i
$826$	−21.7697	−	14.6581i	−0.757464	−	0.510019i
$827$	−17.0466	+	17.0466i	−0.592768	+	0.592768i	−0.938378	−	0.345610i	$-0.887672\pi$
$827$	−17.0466	+	17.0466i	−0.592768	+	0.592768i	0.345610	+	0.938378i	$0.387672\pi$
$828$	43.6305	+	24.4397i	1.51627	+	0.849338i
$829$	−37.4094	+	21.5984i	−1.29928	+	0.750142i	−0.980280	−	0.197612i	$-0.936681\pi$
$829$	−37.4094	+	21.5984i	−1.29928	+	0.750142i	−0.319003	+	0.947754i	$0.603348\pi$
$830$	−34.2832	+	14.6750i	−1.18999	+	0.509376i
$831$	−28.7886	−	16.6211i	−0.998665	−	0.576580i
$832$	−1.78291	−	45.7073i	−0.0618111	−	1.58462i
$833$	−23.4080	−	18.7207i	−0.811038	−	0.648633i
$834$	−32.6453	+	13.7713i	−1.13041	+	0.476861i
$835$	−3.33178	+	12.7010i	−0.115301	+	0.439536i
$836$	2.08627	−	8.21148i	0.0721553	−	0.284000i
$837$	−69.5382	−	18.6327i	−2.40359	−	0.644040i
$838$	29.1696	−	22.6853i	1.00765	−	0.783650i
$839$	22.5117			0.777191			0.388596	−	0.921408i	$-0.372960\pi$
$839$	22.5117			0.777191			0.388596	+	0.921408i	$0.372960\pi$
$840$	−43.8863	+	22.4504i	−1.51422	+	0.774612i
$841$	−28.6496			−0.987918
$842$	−32.1086	+	24.9710i	−1.10654	+	0.860557i
$843$	−91.6277	−	24.5516i	−3.15583	−	0.845601i
$844$	−38.2278	−	9.71246i	−1.31586	−	0.334317i
$845$	−22.2173	−	38.0187i	−0.764299	−	1.30788i
$846$	−23.1926	+	9.78372i	−0.797377	+	0.336371i
$847$	−5.56609	+	6.21973i	−0.191253	+	0.213712i
$848$	12.9142	−	13.6036i	0.443475	−	0.467149i
$849$	−18.4321	−	10.6418i	−0.632588	−	0.365225i
$850$	30.0814	+	3.44088i	1.03178	+	0.118021i
$851$	10.6571	−	6.15290i	0.365322	−	0.210919i
$852$	−9.02031	+	16.1034i	−0.309031	+	0.551692i
$853$	29.5882	−	29.5882i	1.01308	−	1.01308i	0.0131684	−	0.999913i	$-0.495808\pi$
$853$	29.5882	−	29.5882i	1.01308	−	1.01308i	0.999913	−	0.0131684i	$-0.00419176\pi$
$854$	8.93618	+	0.617568i	0.305790	+	0.0211327i
$855$	16.6818	+	9.51473i	0.570507	+	0.325397i
$856$	25.1109	+	31.4369i	0.858273	+	1.07449i
$857$	−6.48971	−	1.73891i	−0.221684	−	0.0594001i	0.146267	−	0.989245i	$-0.453274\pi$
$857$	−6.48971	−	1.73891i	−0.221684	−	0.0594001i	−0.367951	+	0.929845i	$0.619941\pi$
$858$	−66.0936	+	9.13868i	−2.25640	+	0.311989i
$859$	−28.2836	−	16.3296i	−0.965025	−	0.557157i	−0.0673088	−	0.997732i	$-0.521441\pi$
$859$	−28.2836	−	16.3296i	−0.965025	−	0.557157i	−0.897716	+	0.440575i	$0.854775\pi$
$860$	19.1541	−	34.6200i	0.653149	−	1.18053i
$861$	−13.8765	+	27.4403i	−0.472911	+	0.935164i
$862$	15.8513	−	38.9830i	0.539898	−	1.32777i
$863$	2.08394	+	7.77737i	0.0709381	+	0.264745i	0.992282	−	0.124005i	$-0.0395738\pi$
$863$	2.08394	+	7.77737i	0.0709381	+	0.264745i	−0.921343	+	0.388749i	$0.872907\pi$
$864$	26.0103	−	36.2793i	0.884889	−	1.23425i
$865$	−18.1249	−	17.9354i	−0.616265	−	0.609821i
$866$	6.22003	−	49.7413i	0.211365	−	1.69028i
$867$	−2.78016	−	2.78016i	−0.0944193	−	0.0944193i
$868$	3.29927	+	48.1607i	0.111985	+	1.63468i
$869$	−9.84678			−0.334029
$870$	−4.41408	−	3.30534i	−0.149651	−	0.112062i
$871$	−2.26184	+	1.30588i	−0.0766396	+	0.0442479i
$872$	1.34903	+	0.993976i	0.0456839	+	0.0336603i
$873$	−52.9186	+	14.1795i	−1.79102	+	0.479903i
$874$	−8.67749	+	3.66057i	−0.293520	+	0.123821i
$875$	5.60482	−	29.0446i	0.189477	−	0.981885i
$876$	4.82578	+	4.70195i	0.163048	+	0.158864i
$877$	−8.39107	−	31.3159i	−0.283346	−	1.05746i	−0.950039	−	0.312130i	$-0.898958\pi$
$877$	−8.39107	−	31.3159i	−0.283346	−	1.05746i	0.666693	−	0.745332i	$-0.267709\pi$
$878$	17.4086	−	2.40706i	0.587511	−	0.0812344i
$879$	21.2739	−	12.2825i	0.717551	−	0.414278i
$880$	21.2941	−	13.1979i	0.717822	−	0.444901i
$881$		−	3.42990i		−	0.115556i	−0.998329	−	0.0577782i	$-0.981598\pi$
$881$		−	3.42990i		−	0.115556i	0.998329	−	0.0577782i	$-0.0184016\pi$
$882$	15.2867	−	54.0978i	0.514731	−	1.82157i
$883$	5.22277	+	5.22277i	0.175760	+	0.175760i	0.789505	−	0.613744i	$-0.210337\pi$
$883$	5.22277	+	5.22277i	0.175760	+	0.175760i	−0.613744	+	0.789505i	$0.710337\pi$
$884$	−13.2868	−	47.1285i	−0.446884	−	1.58510i
$885$	−32.4996	+	32.8430i	−1.09246	+	1.10401i
$886$	23.0753	+	17.4692i	0.775229	+	0.586891i
$887$	10.7264	+	40.0314i	0.360157	+	1.34412i	0.873869	+	0.486161i	$0.161603\pi$
$887$	10.7264	+	40.0314i	0.360157	+	1.34412i	−0.513712	+	0.857962i	$0.671730\pi$
$888$	−9.32913	−	21.3364i	−0.313065	−	0.716002i
$889$	10.8670	+	16.6227i	0.364467	+	0.557509i
$890$	−10.2943	+	8.09312i	−0.345067	+	0.271282i
$891$	−15.0669	−	8.69890i	−0.504761	−	0.291424i
$892$	−41.4770	+	24.6709i	−1.38875	+	0.826043i
$893$	1.22692	−	4.57894i	0.0410575	−	0.153228i
$894$	43.4616	+	5.43477i	1.45357	+	0.181766i
$895$	25.8430	+	14.7399i	0.863837	+	0.492701i
$896$	−28.6678	−	8.61142i	−0.957724	−	0.287687i
$897$	52.4457	+	52.4457i	1.75111	+	1.75111i
$898$	−11.2989	+	8.78717i	−0.377049	+	0.293232i
$899$	−4.67669	+	2.70009i	−0.155976	+	0.0900529i
$900$	15.9827	+	54.4913i	0.532758	+	1.81638i
$901$	10.0396	−	17.3890i	0.334466	−	0.579312i
$902$	5.88632	−	14.4762i	0.195993	−	0.482004i
$903$	21.5083	+	65.5167i	0.715751	+	2.18026i
$904$	−1.85430	+	4.73572i	−0.0616730	+	0.157508i
$905$	35.0991	−	20.5112i	1.16673	−	0.681815i
$906$	−0.413735	+	0.546507i	−0.0137454	+	0.0181565i
$907$	46.4173	+	12.4375i	1.54126	+	0.412979i	0.926673	−	0.375869i	$-0.122656\pi$
$907$	46.4173	+	12.4375i	1.54126	+	0.412979i	0.614587	+	0.788849i	$0.289323\pi$
$908$	45.1033	+	25.2646i	1.49680	+	0.838436i
$909$			44.5372i			1.47721i
$910$	−46.9030	+	9.41282i	−1.55482	+	0.312032i
$911$	14.6246			0.484534			0.242267	−	0.970210i	$-0.422109\pi$
$911$	14.6246			0.484534			0.242267	+	0.970210i	$0.422109\pi$
$912$	5.05852	+	17.0891i	0.167504	+	0.565877i
$913$	−8.54901	+	31.9053i	−0.282931	+	1.05591i
$914$	18.1105	+	13.7106i	0.599041	+	0.453507i
$915$	4.00149	−	15.2540i	0.132285	−	0.504281i
$916$	33.2211	−	34.0960i	1.09766	−	1.12656i
$917$	0.0570311	−	0.0637284i	0.00188333	−	0.00210450i
$918$	17.9996	−	44.2663i	0.594076	−	1.46101i
$919$	−13.9719	−	8.06669i	−0.460891	−	0.266096i	0.251528	−	0.967850i	$-0.419067\pi$
$919$	−13.9719	−	8.06669i	−0.460891	−	0.266096i	−0.712419	+	0.701754i	$0.752400\pi$
$920$	−25.9845	−	10.0172i	−0.856685	−	0.330258i
$921$	16.7130	+	28.9478i	0.550713	+	0.953863i
$922$	16.4604	+	21.1654i	0.542094	+	0.697046i
$923$	−12.6657	+	12.6657i	−0.416897	+	0.416897i
$924$	−8.39185	+	42.8486i	−0.276071	+	1.40962i
$925$	13.5347	+	3.47455i	0.445018	+	0.114243i
$926$	−7.34016	−	0.917869i	−0.241213	−	0.0301631i
$927$	−36.2278	−	9.70722i	−1.18988	−	0.318827i
$928$	−0.544679	−	3.30391i	−0.0178800	−	0.108456i
$929$	23.8706	−	41.3450i	0.783168	−	1.35649i	−0.146920	−	0.989148i	$-0.546936\pi$
$929$	23.8706	−	41.3450i	0.783168	−	1.35649i	0.930088	−	0.367338i	$-0.119731\pi$
$930$	84.3855	+	10.1021i	2.76711	+	0.331260i
$931$	6.27484	+	8.52696i	0.205649	+	0.279460i
$932$	−45.5140	+	0.591521i	−1.49086	+	0.0193759i
$933$	57.8441	−	15.4993i	1.89373	−	0.507424i
$934$	5.43711	+	4.11619i	0.177908	+	0.134686i
$935$	18.8632	−	19.0625i	0.616893	−	0.623411i
$936$	71.7558	−	57.3165i	2.34541	−	1.87345i
$937$	−13.9595	+	13.9595i	−0.456036	+	0.456036i	−0.897352	−	0.441316i	$-0.854512\pi$
$937$	−13.9595	+	13.9595i	−0.456036	+	0.456036i	0.441316	+	0.897352i	$0.354512\pi$
$938$	0.327479	+	1.67744i	0.0106926	+	0.0547705i
$939$	53.3816			1.74204
$940$	12.0094	−	7.22905i	0.391705	−	0.235786i
$941$	−5.35084	−	9.26792i	−0.174432	−	0.302126i	0.765532	−	0.643397i	$-0.222476\pi$
$941$	−5.35084	−	9.26792i	−0.174432	−	0.302126i	−0.939965	+	0.341272i	$0.889142\pi$
$942$	−18.4814	+	2.55540i	−0.602156	+	0.0832593i
$943$	−16.7795	+	4.49604i	−0.546414	+	0.146411i
$944$	−28.0471	+	0.729151i	−0.912857	+	0.0237318i
$945$	−41.7716	−	20.8489i	−1.35883	−	0.678214i
$946$	−13.6211	−	32.2891i	−0.442859	−	1.04981i
$947$	−10.6657	−	39.8048i	−0.346588	−	1.29348i	−0.890746	−	0.454501i	$-0.849818\pi$
$947$	−10.6657	−	39.8048i	−0.346588	−	1.29348i	0.544159	−	0.838982i	$-0.316849\pi$
$948$	17.8021	−	10.5888i	0.578184	−	0.343910i
$949$	3.26927	+	5.66254i	0.106125	+	0.183814i
$950$	−9.94850	−	3.92393i	−0.322772	−	0.127309i
$951$		−	43.9381i		−	1.42479i
$952$	−31.9925	−	1.79356i	−1.03688	−	0.0581297i
$953$	−9.11679	+	9.11679i	−0.295322	+	0.295322i	−0.839178	−	0.543856i	$-0.816964\pi$
$953$	−9.11679	+	9.11679i	−0.295322	+	0.295322i	0.543856	+	0.839178i	$0.316964\pi$
$954$	37.3682	+	4.67280i	1.20984	+	0.151288i
$955$	0.0542226	+	10.3171i	0.00175460	+	0.333852i
$956$	−24.9089	−	6.32856i	−0.805612	−	0.204680i
$957$	−4.71793	+	1.26416i	−0.152509	+	0.0408646i
$958$	−1.54115	+	3.79013i	−0.0497922	+	0.122454i
$959$	−13.5893	+	26.8723i	−0.438820	+	0.867751i
$960$	−24.3052	+	46.7594i	−0.784446	+	1.50915i
$961$	26.1133	−	45.2295i	0.842363	−	1.45902i
$962$	−3.09521	−	22.3855i	−0.0997935	−	0.721736i
$963$	−20.9074	+	78.0275i	−0.673732	+	2.51440i
$964$	−14.9893	−	53.1673i	−0.482774	−	1.71240i
$965$	16.8312	−	4.60484i	0.541814	−	0.148235i
$966$	43.6065	−	21.3123i	1.40301	−	0.685711i
$967$	4.70286	+	4.70286i	0.151234	+	0.151234i	0.778669	−	0.627435i	$-0.215895\pi$
$967$	4.70286	+	4.70286i	0.151234	+	0.151234i	−0.627435	+	0.778669i	$0.715895\pi$
$968$	−0.992014	+	8.86762i	−0.0318846	+	0.285016i
$969$	9.53902	+	16.5221i	0.306438	+	0.530765i
$970$	28.0468	−	12.0055i	0.900527	−	0.385472i
$971$	−16.3460	+	28.3121i	−0.524568	+	0.908578i	0.475023	+	0.879973i	$0.342440\pi$
$971$	−16.3460	+	28.3121i	−0.524568	+	0.908578i	−0.999591	+	0.0286047i	$0.990894\pi$
$972$	−10.7498	+	0.139709i	−0.344798	+	0.00448116i
$973$	−4.61112	+	22.0229i	−0.147826	+	0.706022i
$974$	−21.5087	+	9.07337i	−0.689182	+	0.290730i
$975$	0.885249	+	84.2168i	0.0283506	+	2.69710i
$976$	8.16579	−	5.00189i	0.261381	−	0.160106i
$977$	−12.0987	+	45.1528i	−0.387071	+	1.44457i	0.447806	+	0.894131i	$0.352205\pi$
$977$	−12.0987	+	45.1528i	−0.387071	+	1.44457i	−0.834877	+	0.550437i	$0.814461\pi$
$978$	26.3542	+	33.8872i	0.842713	+	1.08359i
$979$			11.5985i			0.370688i
$980$	−4.14331	+	31.0296i	−0.132353	+	0.991203i
$981$			3.36427i			0.107413i
$982$	−48.4977	+	37.7168i	−1.54762	+	1.20359i
$983$	4.97007	−	18.5486i	0.158521	−	0.591607i	−0.840257	−	0.542188i	$-0.817596\pi$
$983$	4.97007	−	18.5486i	0.158521	−	0.591607i	0.998778	−	0.0494195i	$-0.0157371\pi$
$984$	4.92520	+	32.5015i	0.157010	+	1.03611i
$985$	−1.75310	+	6.68295i	−0.0558584	+	0.212937i
$986$	−1.39322	−	3.30266i	−0.0443690	−	0.105178i
$987$	−5.00658	+	23.9117i	−0.159361	+	0.761117i
$988$	0.224758	+	17.2938i	0.00715051	+	0.550189i
$989$	−19.4780	+	33.7368i	−0.619363	+	1.07277i
$990$	46.6924	+	18.7008i	1.48398	+	0.594349i
$991$	11.6001	+	20.0920i	0.368489	+	0.638242i	0.989330	−	0.145695i	$-0.0465417\pi$
$991$	11.6001	+	20.0920i	0.368489	+	0.638242i	−0.620840	+	0.783937i	$0.713208\pi$
$992$	32.7295	+	39.9002i	1.03916	+	1.26683i
$993$	19.3150	+	19.3150i	0.612943	+	0.612943i
$994$	5.14694	+	10.5310i	0.163251	+	0.334024i
$995$	−21.8931	−	12.4870i	−0.694058	−	0.395866i
$996$	−18.8539	−	66.8752i	−0.597410	−	2.11902i
$997$	−5.68380	+	21.2122i	−0.180008	+	0.671798i	0.815636	+	0.578565i	$0.196387\pi$
$997$	−5.68380	+	21.2122i	−0.180008	+	0.671798i	−0.995644	+	0.0932336i	$0.970280\pi$
$998$	12.7834	−	1.76755i	0.404653	−	0.0559508i
$999$	11.0270	−	19.0993i	0.348878	−	0.604274i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.bv.e.117.12	✓	160
5.3	odd	4	inner	280.2.bv.e.173.9	yes	160
7.3	odd	6	inner	280.2.bv.e.157.40	yes	160
8.5	even	2	inner	280.2.bv.e.117.21	yes	160
35.3	even	12	inner	280.2.bv.e.213.21	yes	160
40.13	odd	4	inner	280.2.bv.e.173.40	yes	160
56.45	odd	6	inner	280.2.bv.e.157.9	yes	160
280.213	even	12	inner	280.2.bv.e.213.12	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bv.e.117.12	✓	160	1.1	even	1	trivial
280.2.bv.e.117.21	yes	160	8.5	even	2	inner
280.2.bv.e.157.9	yes	160	56.45	odd	6	inner
280.2.bv.e.157.40	yes	160	7.3	odd	6	inner
280.2.bv.e.173.9	yes	160	5.3	odd	4	inner
280.2.bv.e.173.40	yes	160	40.13	odd	4	inner
280.2.bv.e.213.12	yes	160	280.213	even	12	inner
280.2.bv.e.213.21	yes	160	35.3	even	12	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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.bv (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.868191 - 1.11635i) q^{2} +(-2.84558 - 0.762471i) q^{3} +(-0.492489 + 1.93842i) q^{4} +(1.93059 - 1.12820i) q^{5} +(1.61932 + 3.83864i) q^{6} +(2.58960 + 0.542205i) q^{7} +(2.59153 - 1.13312i) q^{8} +(4.91789 + 2.83934i) q^{9} +O(q^{10})\)	\(q+(-0.868191 - 1.11635i) q^{2} +(-2.84558 - 0.762471i) q^{3} +(-0.492489 + 1.93842i) q^{4} +(1.93059 - 1.12820i) q^{5} +(1.61932 + 3.83864i) q^{6} +(2.58960 + 0.542205i) q^{7} +(2.59153 - 1.13312i) q^{8} +(4.91789 + 2.83934i) q^{9} +(-2.93558 - 1.17573i) q^{10} +(-2.42569 + 1.40047i) q^{11} +(2.87940 - 5.14041i) q^{12} +(4.04307 - 4.04307i) q^{13} +(-1.64297 - 3.36164i) q^{14} +(-6.35386 + 1.73835i) q^{15} +(-3.51491 - 1.90930i) q^{16} +(-4.13599 - 1.10824i) q^{17} +(-1.09995 - 7.95519i) q^{18} +(1.30979 + 0.756207i) q^{19} +(1.23612 + 4.29791i) q^{20} +(-6.95549 - 3.51738i) q^{21} +(3.66938 + 1.49205i) q^{22} +(-1.13964 - 4.25320i) q^{23} +(-8.23838 + 1.24842i) q^{24} +(2.45435 - 4.35617i) q^{25} +(-8.02364 - 1.00334i) q^{26} +(-5.57999 - 5.57999i) q^{27} +(-2.32637 + 4.75268i) q^{28} -0.591939 q^{29} +(7.45698 + 5.58393i) q^{30} +(7.90063 - 4.56143i) q^{31} +(0.920161 + 5.58151i) q^{32} +(7.97030 - 2.13563i) q^{33} +(2.35365 + 5.57939i) q^{34} +(5.61116 - 1.87480i) q^{35} +(-7.92583 + 8.13456i) q^{36} +(0.723325 + 2.69949i) q^{37} +(-0.292953 - 2.11872i) q^{38} +(-14.5876 + 8.42215i) q^{39} +(3.72480 - 5.11135i) q^{40} -3.94514i q^{41} +(2.11205 + 10.8185i) q^{42} +(-6.25585 - 6.25585i) q^{43} +(-1.52007 - 5.39170i) q^{44} +(12.6978 - 0.0667346i) q^{45} +(-3.75865 + 4.96483i) q^{46} +(-0.811235 - 3.02757i) q^{47} +(8.54617 + 8.11307i) q^{48} +(6.41203 + 2.80819i) q^{49} +(-6.99386 + 1.04206i) q^{50} +(10.9243 + 6.30715i) q^{51} +(5.84598 + 9.82831i) q^{52} +(-1.21368 + 4.52952i) q^{53} +(-1.38474 + 11.0737i) q^{54} +(-3.10300 + 5.44038i) q^{55} +(7.32541 - 1.52919i) q^{56} +(-3.15053 - 3.15053i) q^{57} +(0.513916 + 0.660813i) q^{58} +(6.07444 - 3.50708i) q^{59} +(-0.240443 - 13.1725i) q^{60} +(-1.19699 + 2.07326i) q^{61} +(-11.9514 - 4.85970i) q^{62} +(11.1958 + 10.0193i) q^{63} +(5.43207 - 5.87304i) q^{64} +(3.24413 - 12.3669i) q^{65} +(-9.30386 - 7.04353i) q^{66} +(-0.441215 - 0.118223i) q^{67} +(4.18515 - 7.47148i) q^{68} +12.9718i q^{69} +(-6.96450 - 4.63636i) q^{70} -3.13270 q^{71} +(15.9622 + 1.78568i) q^{72} +(-0.295972 + 1.10458i) q^{73} +(2.38560 - 3.15116i) q^{74} +(-10.3055 + 10.5244i) q^{75} +(-2.11090 + 2.16649i) q^{76} +(-7.04089 + 2.31143i) q^{77} +(22.0669 + 8.97287i) q^{78} +(3.04453 + 1.75776i) q^{79} +(-8.93991 + 0.279437i) q^{80} +(3.10571 + 5.37924i) q^{81} +(-4.40416 + 3.42513i) q^{82} +(8.33875 - 8.33875i) q^{83} +(10.2436 - 11.7504i) q^{84} +(-9.23521 + 2.52666i) q^{85} +(-1.55247 + 12.4150i) q^{86} +(1.68441 + 0.451336i) q^{87} +(-4.69933 + 6.37796i) q^{88} +(2.07046 - 3.58614i) q^{89} +(-11.0986 - 14.1172i) q^{90} +(12.6621 - 8.27774i) q^{91} +(8.80573 - 0.114444i) q^{92} +(-25.9598 + 6.95591i) q^{93} +(-2.67553 + 3.53413i) q^{94} +(3.38182 - 0.0177736i) q^{95} +(1.63735 - 16.5842i) q^{96} +(-6.82184 + 6.82184i) q^{97} +(-2.43193 - 9.59613i) q^{98} -15.9057 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8}+O(q^{10}) \) 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8	\( 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8} - 6 q^{10} + 6 q^{12} - 8 q^{15} + 4 q^{16} - 12 q^{17} - 28 q^{18} - 24 q^{22} - 16 q^{23} + 20 q^{25} - 12 q^{26} - 46 q^{28} + 32 q^{30} + 48 q^{31} + 18 q^{32} - 12 q^{33} - 32 q^{36} - 48 q^{38} + 54 q^{40} + 6 q^{42} - 64 q^{46} - 132 q^{47} - 12 q^{50} - 20 q^{56} - 88 q^{57} + 6 q^{58} + 34 q^{60} - 32 q^{63} - 28 q^{65} - 180 q^{66} + 60 q^{68} - 108 q^{70} - 160 q^{71} + 52 q^{72} + 84 q^{73} + 48 q^{78} - 48 q^{80} + 16 q^{81} - 90 q^{82} - 84 q^{86} - 12 q^{87} + 44 q^{88} + 36 q^{92} - 20 q^{95} - 48 q^{96} - 94 q^{98}+O(q^{100}) \) 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8 - 6 * q^10 + 6 * q^12 - 8 * q^15 + 4 * q^16 - 12 * q^17 - 28 * q^18 - 24 * q^22 - 16 * q^23 + 20 * q^25 - 12 * q^26 - 46 * q^28 + 32 * q^30 + 48 * q^31 + 18 * q^32 - 12 * q^33 - 32 * q^36 - 48 * q^38 + 54 * q^40 + 6 * q^42 - 64 * q^46 - 132 * q^47 - 12 * q^50 - 20 * q^56 - 88 * q^57 + 6 * q^58 + 34 * q^60 - 32 * q^63 - 28 * q^65 - 180 * q^66 + 60 * q^68 - 108 * q^70 - 160 * q^71 + 52 * q^72 + 84 * q^73 + 48 * q^78 - 48 * q^80 + 16 * q^81 - 90 * q^82 - 84 * q^86 - 12 * q^87 + 44 * q^88 + 36 * q^92 - 20 * q^95 - 48 * q^96 - 94 * q^98

Introduction

L-functions

Modular forms

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Database

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