LMFDB - Embedded newform 285.2.bf.c.224.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [285,2,Mod(14,285)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(285, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 9, 7]))

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

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

chi := DirichletCharacter("285.14");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 285 = 3 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	285.bf (of order $18$, degree $6$, 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:	$2.27573645761$
Analytic rank:	$0$
Dimension:	$192$
Relative dimension:	$32$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			224.6
Character	$\chi$	$=$	285.224
Dual form			285.2.bf.c.14.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.688433 + 1.89145i) q^{2} +(-1.40355 + 1.01491i) q^{3} +(-1.57157 - 1.31870i) q^{4} +(-0.535543 - 2.17099i) q^{5} +(-0.953416 - 3.35345i) q^{6} +(-1.02214 - 0.590134i) q^{7} +(0.0898436 - 0.0518712i) q^{8} +(0.939896 - 2.84896i) q^{9} +O(q^{10})$	\(q+(-0.688433 + 1.89145i) q^{2} +(-1.40355 + 1.01491i) q^{3} +(-1.57157 - 1.31870i) q^{4} +(-0.535543 - 2.17099i) q^{5} +(-0.953416 - 3.35345i) q^{6} +(-1.02214 - 0.590134i) q^{7} +(0.0898436 - 0.0518712i) q^{8} +(0.939896 - 2.84896i) q^{9} +(4.47501 + 0.481626i) q^{10} +(0.811398 - 0.468461i) q^{11} +(3.54415 + 0.255855i) q^{12} +(0.827457 - 4.69274i) q^{13} +(1.81989 - 1.52707i) q^{14} +(2.95503 + 2.50356i) q^{15} +(-0.676232 - 3.83510i) q^{16} +(2.40674 + 0.875980i) q^{17} +(4.74163 + 3.73909i) q^{18} +(-3.67432 + 2.34508i) q^{19} +(-2.02125 + 4.11809i) q^{20} +(2.03356 - 0.209105i) q^{21} +(0.327479 + 1.85723i) q^{22} +(-4.80605 - 4.03275i) q^{23} +(-0.0734550 + 0.163987i) q^{24} +(-4.42639 + 2.32531i) q^{25} +(8.30646 + 4.79574i) q^{26} +(1.57227 + 4.95257i) q^{27} +(0.828156 + 2.27534i) q^{28} +(6.79097 - 2.47171i) q^{29} +(-6.76971 + 3.86577i) q^{30} +(1.55429 + 0.897368i) q^{31} +(7.92379 + 1.39718i) q^{32} +(-0.663389 + 1.48101i) q^{33} +(-3.31375 + 3.94918i) q^{34} +(-0.733773 + 2.53510i) q^{35} +(-5.23406 + 3.23790i) q^{36} -2.77747 q^{37} +(-1.90609 - 8.56423i) q^{38} +(3.60136 + 7.42629i) q^{39} +(-0.160727 - 0.167270i) q^{40} +(-1.08149 - 6.13346i) q^{41} +(-1.00446 + 3.99034i) q^{42} +(-7.40268 - 8.82217i) q^{43} +(-1.89293 - 0.333775i) q^{44} +(-6.68842 - 0.514762i) q^{45} +(10.9364 - 6.31414i) q^{46} +(1.22560 - 0.446080i) q^{47} +(4.84142 + 4.69643i) q^{48} +(-2.80348 - 4.85578i) q^{49} +(-1.35095 - 9.97314i) q^{50} +(-4.26702 + 1.21315i) q^{51} +(-7.48875 + 6.28380i) q^{52} +(2.51535 - 2.99768i) q^{53} +(-10.4500 - 0.435645i) q^{54} +(-1.45156 - 1.51066i) q^{55} -0.122444 q^{56} +(2.77703 - 7.02055i) q^{57} +14.5464i q^{58} +(-6.90503 - 2.51323i) q^{59} +(-1.34258 - 7.83133i) q^{60} +(0.529218 + 0.444067i) q^{61} +(-2.76735 + 2.32209i) q^{62} +(-2.64198 + 2.35738i) q^{63} +(-4.20344 + 7.28056i) q^{64} +(-10.6310 + 0.716763i) q^{65} +(-2.34456 - 2.27434i) q^{66} +(6.25259 - 2.27576i) q^{67} +(-2.62720 - 4.55044i) q^{68} +(10.8384 + 0.782435i) q^{69} +(-4.28987 - 3.13315i) q^{70} +(-5.19192 + 4.35654i) q^{71} +(-0.0633356 - 0.304715i) q^{72} +(0.891161 - 0.157136i) q^{73} +(1.91210 - 5.25346i) q^{74} +(3.85265 - 7.75610i) q^{75} +(8.86692 + 1.15988i) q^{76} -1.10582 q^{77} +(-16.5258 + 1.69930i) q^{78} +(9.32873 - 1.64491i) q^{79} +(-7.96381 + 3.52195i) q^{80} +(-7.23319 - 5.35546i) q^{81} +(12.3457 + 2.17688i) q^{82} +(1.08248 - 1.87491i) q^{83} +(-3.47163 - 2.35304i) q^{84} +(0.612834 - 5.69412i) q^{85} +(21.7830 - 7.92836i) q^{86} +(-7.02288 + 10.3614i) q^{87} +(0.0485993 - 0.0841764i) q^{88} +(-2.68126 + 15.2062i) q^{89} +(5.57818 - 12.2965i) q^{90} +(-3.61512 + 4.30833i) q^{91} +(2.23504 + 12.6755i) q^{92} +(-3.09227 + 0.317969i) q^{93} +2.62526i q^{94} +(7.05889 + 6.72101i) q^{95} +(-12.5394 + 6.08097i) q^{96} +(-8.87033 - 3.22854i) q^{97} +(11.1145 - 1.95979i) q^{98} +(-0.571998 - 2.75195i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 192 q - 12 q^{4} - 30 q^{6} - 12 q^{9}+O(q^{10}) $ 192 * q - 12 * q^4 - 30 * q^6 - 12 * q^9	$ 192 q - 12 q^{4} - 30 q^{6} - 12 q^{9} + 18 q^{10} + 15 q^{15} - 36 q^{16} - 48 q^{19} - 30 q^{21} - 156 q^{24} - 12 q^{25} - 24 q^{30} - 36 q^{31} + 24 q^{34} - 6 q^{36} - 6 q^{40} - 30 q^{45} + 36 q^{46} + 60 q^{49} + 24 q^{51} - 6 q^{54} - 90 q^{55} + 90 q^{60} + 12 q^{61} - 60 q^{64} + 108 q^{66} + 90 q^{69} - 18 q^{70} - 132 q^{76} - 120 q^{79} + 36 q^{81} + 198 q^{84} - 66 q^{85} - 114 q^{90} - 72 q^{91} + 144 q^{96} + 78 q^{99}+O(q^{100}) $ 192 * q - 12 * q^4 - 30 * q^6 - 12 * q^9 + 18 * q^10 + 15 * q^15 - 36 * q^16 - 48 * q^19 - 30 * q^21 - 156 * q^24 - 12 * q^25 - 24 * q^30 - 36 * q^31 + 24 * q^34 - 6 * q^36 - 6 * q^40 - 30 * q^45 + 36 * q^46 + 60 * q^49 + 24 * q^51 - 6 * q^54 - 90 * q^55 + 90 * q^60 + 12 * q^61 - 60 * q^64 + 108 * q^66 + 90 * q^69 - 18 * q^70 - 132 * q^76 - 120 * q^79 + 36 * q^81 + 198 * q^84 - 66 * q^85 - 114 * q^90 - 72 * q^91 + 144 * q^96 + 78 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/285\mathbb{Z}\right)^\times$.

$n$	$172$	$191$	$211$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{11}{18}\right)$

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 $

$2$	−0.688433	+	1.89145i	−0.486796	+	1.33746i	0.416770	+	0.909012i	$0.363162\pi$
$2$	−0.688433	+	1.89145i	−0.486796	+	1.33746i	−0.903566	+	0.428449i	$0.859060\pi$
$3$	−1.40355	+	1.01491i	−0.810339	+	0.585961i
$3$	−1.40355	+	1.01491i	−0.810339	+	0.585961i
$4$	−1.57157	−	1.31870i	−0.785786	−	0.659352i
$5$	−0.535543	−	2.17099i	−0.239502	−	0.970896i
$5$	−0.535543	−	2.17099i	−0.239502	−	0.970896i
$6$	−0.953416	−	3.35345i	−0.389230	−	1.36904i
$7$	−1.02214	−	0.590134i	−0.386333	−	0.223050i	0.294237	−	0.955732i	$-0.404935\pi$
$7$	−1.02214	−	0.590134i	−0.386333	−	0.223050i	−0.680570	+	0.732683i	$0.738268\pi$
$8$	0.0898436	−	0.0518712i	0.0317645	−	0.0183392i
$9$	0.939896	−	2.84896i	0.313299	−	0.949655i
$10$	4.47501	+	0.481626i	1.41512	+	0.152304i
$11$	0.811398	−	0.468461i	0.244646	−	0.141246i	−0.372664	−	0.927966i	$-0.621556\pi$
$11$	0.811398	−	0.468461i	0.244646	−	0.141246i	0.617310	+	0.786720i	$0.288222\pi$
$12$	3.54415	+	0.255855i	1.02311	+	0.0738590i
$13$	0.827457	−	4.69274i	0.229495	−	1.30153i	−0.624407	−	0.781099i	$-0.714659\pi$
$13$	0.827457	−	4.69274i	0.229495	−	1.30153i	0.853902	−	0.520433i	$-0.174229\pi$
$14$	1.81989	−	1.52707i	0.486385	−	0.408126i
$15$	2.95503	+	2.50356i	0.762985	+	0.646416i
$16$	−0.676232	−	3.83510i	−0.169058	−	0.958775i
$17$	2.40674	+	0.875980i	0.583719	+	0.212456i	0.616965	−	0.786991i	$-0.288362\pi$
$17$	2.40674	+	0.875980i	0.583719	+	0.212456i	−0.0332455	+	0.999447i	$0.510584\pi$
$18$	4.74163	+	3.73909i	1.11761	+	0.881312i
$19$	−3.67432	+	2.34508i	−0.842946	+	0.537998i
$19$	−3.67432	+	2.34508i	−0.842946	+	0.537998i
$20$	−2.02125	+	4.11809i	−0.451965	+	0.920832i
$21$	2.03356	−	0.209105i	0.443759	−	0.0456305i
$22$	0.327479	+	1.85723i	0.0698188	+	0.395962i
$23$	−4.80605	−	4.03275i	−1.00213	−	0.840887i	−0.0148525	−	0.999890i	$-0.504728\pi$
$23$	−4.80605	−	4.03275i	−1.00213	−	0.840887i	−0.987278	+	0.159002i	$0.949172\pi$
$24$	−0.0734550	+	0.163987i	−0.0149939	+	0.0334738i
$25$	−4.42639	+	2.32531i	−0.885278	+	0.465063i
$26$	8.30646	+	4.79574i	1.62903	+	0.940521i
$27$	1.57227	+	4.95257i	0.302583	+	0.953123i
$28$	0.828156	+	2.27534i	0.156507	+	0.429999i
$29$	6.79097	−	2.47171i	1.26105	−	0.458985i	0.376930	−	0.926242i	$-0.376980\pi$
$29$	6.79097	−	2.47171i	1.26105	−	0.458985i	0.884122	+	0.467256i	$0.154757\pi$
$30$	−6.76971	+	3.86577i	−1.23597	+	0.705790i
$31$	1.55429	+	0.897368i	0.279158	+	0.161172i	0.633042	−	0.774117i	$-0.281806\pi$
$31$	1.55429	+	0.897368i	0.279158	+	0.161172i	−0.353884	+	0.935289i	$0.615139\pi$
$32$	7.92379	+	1.39718i	1.40074	+	0.246989i
$33$	−0.663389	+	1.48101i	−0.115481	+	0.257810i
$34$	−3.31375	+	3.94918i	−0.568304	+	0.677278i
$35$	−0.733773	+	2.53510i	−0.124030	+	0.428510i
$36$	−5.23406	+	3.23790i	−0.872343	+	0.539651i
$37$	−2.77747			−0.456613			−0.228307	−	0.973589i	$-0.573319\pi$
$37$	−2.77747			−0.456613			−0.228307	+	0.973589i	$0.573319\pi$
$38$	−1.90609	−	8.56423i	−0.309208	−	1.38930i
$39$	3.60136	+	7.42629i	0.576679	+	1.18916i
$40$	−0.160727	−	0.167270i	−0.0254132	−	0.0264477i
$41$	−1.08149	−	6.13346i	−0.168901	−	0.957885i	−0.944951	−	0.327213i	$-0.893890\pi$
$41$	−1.08149	−	6.13346i	−0.168901	−	0.957885i	0.776050	−	0.630672i	$-0.217221\pi$
$42$	−1.00446	+	3.99034i	−0.154991	+	0.615723i
$43$	−7.40268	−	8.82217i	−1.12890	−	1.34537i	−0.930946	−	0.365156i	$-0.881015\pi$
$43$	−7.40268	−	8.82217i	−1.12890	−	1.34537i	−0.197952	−	0.980212i	$-0.563429\pi$
$44$	−1.89293	−	0.333775i	−0.285370	−	0.0503184i
$45$	−6.68842	−	0.514762i	−0.997051	−	0.0767362i
$46$	10.9364	−	6.31414i	1.61249	−	0.930970i
$47$	1.22560	−	0.446080i	0.178772	−	0.0650675i	−0.251084	−	0.967965i	$-0.580787\pi$
$47$	1.22560	−	0.446080i	0.178772	−	0.0650675i	0.429855	+	0.902898i	$0.358565\pi$
$48$	4.84142	+	4.69643i	0.698799	+	0.677871i
$49$	−2.80348	−	4.85578i	−0.400498	−	0.693683i
$50$	−1.35095	−	9.97314i	−0.191054	−	1.41041i
$51$	−4.26702	+	1.21315i	−0.597502	+	0.169875i
$52$	−7.48875	+	6.28380i	−1.03850	+	0.871407i
$53$	2.51535	−	2.99768i	0.345510	−	0.411763i	−0.565104	−	0.825019i	$-0.691164\pi$
$53$	2.51535	−	2.99768i	0.345510	−	0.411763i	0.910615	+	0.413256i	$0.135609\pi$
$54$	−10.4500	−	0.435645i	−1.42206	−	0.0592838i
$55$	−1.45156	−	1.51066i	−0.195729	−	0.203697i
$56$	−0.122444			−0.0163622
$57$	2.77703	−	7.02055i	0.367826	−	0.929895i
$58$			14.5464i			1.91004i
$59$	−6.90503	−	2.51323i	−0.898959	−	0.327194i	−0.149123	−	0.988819i	$-0.547645\pi$
$59$	−6.90503	−	2.51323i	−0.898959	−	0.327194i	−0.749835	+	0.661624i	$0.769867\pi$
$60$	−1.34258	−	7.83133i	−0.173327	−	1.01102i
$61$	0.529218	+	0.444067i	0.0677594	+	0.0568569i	0.676038	−	0.736866i	$-0.263695\pi$
$61$	0.529218	+	0.444067i	0.0677594	+	0.0568569i	−0.608279	+	0.793723i	$0.708140\pi$
$62$	−2.76735	+	2.32209i	−0.351454	+	0.294905i
$63$	−2.64198	+	2.35738i	−0.332858	+	0.297002i
$64$	−4.20344	+	7.28056i	−0.525430	+	0.910071i
$65$	−10.6310	+	0.716763i	−1.31862	+	0.0889035i
$66$	−2.34456	−	2.27434i	−0.288595	−	0.279952i
$67$	6.25259	−	2.27576i	0.763875	−	0.278028i	0.0694428	−	0.997586i	$-0.477878\pi$
$67$	6.25259	−	2.27576i	0.763875	−	0.278028i	0.694432	+	0.719558i	$0.255656\pi$
$68$	−2.62720	−	4.55044i	−0.318595	−	0.551822i
$69$	10.8384	+	0.782435i	1.30479	+	0.0941941i
$70$	−4.28987	−	3.13315i	−0.512738	−	0.374483i
$71$	−5.19192	+	4.35654i	−0.616168	+	0.517026i	−0.896596	−	0.442849i	$-0.853968\pi$
$71$	−5.19192	+	4.35654i	−0.616168	+	0.517026i	0.280429	+	0.959875i	$0.409523\pi$
$72$	−0.0633356	−	0.304715i	−0.00746417	−	0.0359110i
$73$	0.891161	−	0.157136i	0.104303	−	0.0183914i	−0.121253	−	0.992622i	$-0.538691\pi$
$73$	0.891161	−	0.157136i	0.104303	−	0.0183914i	0.225556	+	0.974230i	$0.427580\pi$
$74$	1.91210	−	5.25346i	0.222277	−	0.610702i
$75$	3.85265	−	7.75610i	0.444866	−	0.895597i
$76$	8.86692	+	1.15988i	1.01711	+	0.133047i
$77$	−1.10582			−0.126020
$78$	−16.5258	+	1.69930i	−1.87118	+	0.192408i
$79$	9.32873	−	1.64491i	1.04956	−	0.185066i	0.377842	−	0.925870i	$-0.376666\pi$
$79$	9.32873	−	1.64491i	1.04956	−	0.185066i	0.671722	+	0.740804i	$0.265555\pi$
$80$	−7.96381	+	3.52195i	−0.890381	+	0.393766i
$81$	−7.23319	−	5.35546i	−0.803688	−	0.595051i
$82$	12.3457	+	2.17688i	1.36335	+	0.240396i
$83$	1.08248	−	1.87491i	0.118817	−	0.205798i	−0.800482	−	0.599357i	$-0.795423\pi$
$83$	1.08248	−	1.87491i	0.118817	−	0.205798i	0.919299	+	0.393559i	$0.128756\pi$
$84$	−3.47163	−	2.35304i	−0.378786	−	0.256738i
$85$	0.612834	−	5.69412i	0.0664712	−	0.617614i
$86$	21.7830	−	7.92836i	2.34892	−	0.854937i
$87$	−7.02288	+	10.3614i	−0.752932	+	1.11086i
$88$	0.0485993	−	0.0841764i	0.00518070	−	0.00897324i
$89$	−2.68126	+	15.2062i	−0.284213	+	1.61185i	0.423871	+	0.905722i	$0.360671\pi$
$89$	−2.68126	+	15.2062i	−0.284213	+	1.61185i	−0.708084	+	0.706128i	$0.750440\pi$
$90$	5.57818	−	12.2965i	0.587992	−	1.29616i
$91$	−3.61512	+	4.30833i	−0.378968	+	0.451636i
$92$	2.23504	+	12.6755i	0.233019	+	1.32151i
$93$	−3.09227	+	0.317969i	−0.320653	+	0.0329719i
$94$			2.62526i			0.270774i
$95$	7.05889	+	6.72101i	0.724227	+	0.689561i
$96$	−12.5394	+	6.08097i	−1.27980	+	0.620636i
$97$	−8.87033	−	3.22854i	−0.900646	−	0.327808i	−0.150134	−	0.988666i	$-0.547971\pi$
$97$	−8.87033	−	3.22854i	−0.900646	−	0.327808i	−0.750511	+	0.660857i	$0.770193\pi$
$98$	11.1145	−	1.95979i	1.12273	−	0.197968i
$99$	−0.571998	−	2.75195i	−0.0574880	−	0.276581i
$100$	10.0228	+	2.18270i	1.00228	+	0.218270i
$101$	−14.5249	−	2.56113i	−1.44528	−	0.254842i	−0.604668	−	0.796478i	$-0.706694\pi$
$101$	−14.5249	−	2.56113i	−1.44528	−	0.254842i	−0.840613	+	0.541636i	$0.817805\pi$
$102$	0.642935	−	8.90604i	0.0636600	−	0.881829i
$103$	6.94023	+	12.0208i	0.683842	+	1.18445i	0.973799	+	0.227409i	$0.0730254\pi$
$103$	6.94023	+	12.0208i	0.683842	+	1.18445i	−0.289958	+	0.957039i	$0.593641\pi$
$104$	−0.169077	−	0.464534i	−0.0165793	−	0.0455513i
$105$	−1.54302	−	4.30285i	−0.150584	−	0.419915i
$106$	3.93833	+	6.82138i	0.382524	+	0.662551i
$107$	1.33687	+	0.771839i	0.129240	+	0.0746165i	0.563226	−	0.826303i	$-0.309560\pi$
$107$	1.33687	+	0.771839i	0.129240	+	0.0746165i	−0.433986	+	0.900919i	$0.642893\pi$
$108$	4.06005	−	9.85667i	0.390679	−	0.948459i
$109$	−0.752869	−	0.897235i	−0.0721118	−	0.0859395i	0.728782	−	0.684745i	$-0.240087\pi$
$109$	−0.752869	−	0.897235i	−0.0721118	−	0.0859395i	−0.800894	+	0.598806i	$0.795642\pi$
$110$	3.85664	−	1.70558i	0.367716	−	0.162620i
$111$	3.89831	−	2.81890i	0.370012	−	0.267558i
$112$	−1.57202	+	4.31908i	−0.148542	+	0.408115i
$113$		−	15.2741i		−	1.43687i	−0.695596	−	0.718433i	$-0.744859\pi$
$113$		−	15.2741i		−	1.43687i	0.695596	−	0.718433i	$-0.255141\pi$
$114$	11.3673	+	10.0858i	1.06464	+	0.944621i
$115$	−6.18122	+	12.5936i	−0.576402	+	1.17436i
$116$	−13.9320	−	5.07082i	−1.29355	−	0.470814i
$117$	−12.5917	−	6.76808i	−1.16411	−	0.625709i
$118$	9.50731	−	11.3304i	0.875219	−	1.04304i
$119$	−1.94308	−	2.31567i	−0.178122	−	0.212277i
$120$	0.395353	+	0.0716477i	0.0360906	+	0.00654051i
$121$	−5.06109	+	8.76606i	−0.460099	+	0.796915i
$122$	−1.20426	+	0.695282i	−0.109029	+	0.0629479i
$123$	7.74287	+	7.51098i	0.698151	+	0.677242i
$124$	−1.25931	−	3.45992i	−0.113089	−	0.310710i
$125$	7.41875	+	8.36434i	0.663553	+	0.748129i
$126$	−2.64005	−	6.62008i	−0.235195	−	0.589763i
$127$	−1.46005	+	8.28037i	−0.129559	+	0.734764i	0.848937	+	0.528495i	$0.177243\pi$
$127$	−1.46005	+	8.28037i	−0.129559	+	0.734764i	−0.978495	+	0.206269i	$0.933868\pi$
$128$	−0.533298	−	0.635560i	−0.0471373	−	0.0561761i
$129$	19.3438	+	4.86925i	1.70312	+	0.428714i
$130$	5.96303	−	20.6015i	0.522992	−	1.80688i
$131$	−5.59800	+	15.3804i	−0.489099	+	1.34379i	0.412398	+	0.911004i	$0.364691\pi$
$131$	−5.59800	+	15.3804i	−0.489099	+	1.34379i	−0.901497	+	0.432785i	$0.857531\pi$
$132$	2.99557	−	1.45269i	0.260731	−	0.126441i
$133$	5.13958	−	0.228665i	0.445658	−	0.0198277i
$134$			13.3932i			1.15700i
$135$	9.90997	−	6.06569i	0.852914	−	0.522051i
$136$	0.261668	−	0.0461391i	0.0224378	−	0.00395640i
$137$	15.3124	+	12.8487i	1.30823	+	1.09773i	0.988660	+	0.150172i	$0.0479827\pi$
$137$	15.3124	+	12.8487i	1.30823	+	1.09773i	0.319569	+	0.947563i	$0.396462\pi$
$138$	−8.94147	+	19.9617i	−0.761149	+	1.69926i
$139$	3.51767	−	19.9497i	0.298365	−	1.69211i	−0.354837	−	0.934928i	$-0.615464\pi$
$139$	3.51767	−	19.9497i	0.298365	−	1.69211i	0.653202	−	0.757183i	$-0.273425\pi$
$140$	4.49622	−	3.01646i	0.380000	−	0.254937i
$141$	−1.26745	+	1.86997i	−0.106739	+	0.157480i
$142$	−4.66590	−	12.8195i	−0.391554	−	1.07579i
$143$	−1.52697	−	4.19531i	−0.127692	−	0.350830i
$144$	−11.5617	−	1.67804i	−0.963471	−	0.139836i
$145$	−9.00292	−	13.4194i	−0.747652	−	1.11442i
$146$	−0.316290	+	1.79377i	−0.0261763	+	0.148453i
$147$	8.86303	+	3.97002i	0.731010	+	0.327442i
$148$	4.36499	+	3.66266i	0.358800	+	0.301069i
$149$	2.93685	−	0.517846i	0.240596	−	0.0424236i	−0.0520497	−	0.998644i	$-0.516575\pi$
$149$	2.93685	−	0.517846i	0.240596	−	0.0424236i	0.292646	+	0.956221i	$0.405464\pi$
$150$	12.0180	+	12.6267i	0.981267	+	1.03096i
$151$			11.8016i			0.960397i	0.877160	+	0.480199i	$0.159435\pi$
$151$			11.8016i			0.960397i	−0.877160	+	0.480199i	$0.840565\pi$
$152$	−0.208472	+	0.401282i	−0.0169093	+	0.0325482i
$153$	4.75772	−	6.03337i	0.384639	−	0.487769i
$154$	0.761282	−	2.09160i	0.0613458	−	0.168546i
$155$	1.11579	−	3.85492i	0.0896224	−	0.309635i
$156$	4.13329	−	16.4201i	0.330928	−	1.31466i
$157$	−2.26755	−	2.70236i	−0.180970	−	0.215672i	0.667932	−	0.744223i	$-0.267180\pi$
$157$	−2.26755	−	2.70236i	−0.180970	−	0.215672i	−0.848901	+	0.528551i	$0.822735\pi$
$158$	−3.31094	+	18.7773i	−0.263404	+	1.49384i
$159$	−0.488029	+	6.76026i	−0.0387032	+	0.536124i
$160$	−1.21027	−	17.9507i	−0.0956802	−	1.41913i
$161$	2.53260	+	6.95826i	0.199597	+	0.548388i
$162$	15.1092	−	9.99438i	1.18709	−	0.785232i
$163$	19.7312	−	11.3918i	1.54547	−	0.892277i	0.546990	−	0.837139i	$-0.315774\pi$
$163$	19.7312	−	11.3918i	1.54547	−	0.892277i	0.998479	−	0.0551374i	$-0.0175597\pi$
$164$	−6.38857	+	11.0653i	−0.498864	+	0.864057i
$165$	3.57052	+	0.647067i	0.277965	+	0.0503741i
$166$	2.80109	+	3.33821i	0.217407	+	0.259095i
$167$	−10.4046	+	12.3997i	−0.805129	+	0.959516i	−0.999772	−	0.0213585i	$-0.993201\pi$
$167$	−10.4046	+	12.3997i	−0.805129	+	0.959516i	0.194643	+	0.980874i	$0.437645\pi$
$168$	0.171856	−	0.124270i	0.0132590	−	0.00958764i
$169$	−9.12113	−	3.31982i	−0.701625	−	0.255371i
$170$	10.3483	+	5.07917i	0.793677	+	0.389555i
$171$	3.22757	+	12.6721i	0.246818	+	0.969062i
$172$			23.6266i			1.80151i
$173$	−0.683734	+	1.87854i	−0.0519834	+	0.142823i	−0.962967	−	0.269620i	$-0.913102\pi$
$173$	−0.683734	+	1.87854i	−0.0519834	+	0.142823i	0.910984	+	0.412443i	$0.135324\pi$
$174$	−14.7634	−	20.4166i	−1.11921	−	1.54778i
$175$	5.89664	+	0.235360i	0.445744	+	0.0177915i
$176$	−2.34529	−	2.79500i	−0.176783	−	0.210681i
$177$	12.2423	−	3.48059i	0.920184	−	0.261617i
$178$	−26.9159	−	15.5399i	−2.01743	−	1.16477i
$179$	−4.84891	−	8.39856i	−0.362425	−	0.627738i	0.625935	−	0.779875i	$-0.284718\pi$
$179$	−4.84891	−	8.39856i	−0.362425	−	0.627738i	−0.988359	+	0.152138i	$0.951384\pi$
$180$	9.83251	+	9.62904i	0.732872	+	0.717706i
$181$	3.28830	+	9.03454i	0.244418	+	0.671532i	0.999867	+	0.0163245i	$0.00519648\pi$
$181$	3.28830	+	9.03454i	0.244418	+	0.671532i	−0.755449	+	0.655207i	$0.772581\pi$
$182$	−5.66025	−	9.80384i	−0.419566	−	0.726709i
$183$	−1.19347	−	0.0861578i	−0.0882241	−	0.00636897i
$184$	−0.640977	−	0.113022i	−0.0472534	−	0.00833206i
$185$	1.48745	+	6.02986i	0.109360	+	0.443324i
$186$	1.52740	−	6.06779i	0.111994	−	0.444912i
$187$	2.36318	−	0.416693i	0.172813	−	0.0304716i
$188$	−2.51436	−	0.915152i	−0.183378	−	0.0667443i
$189$	1.31560	−	5.99008i	0.0956959	−	0.435714i
$190$	−17.5721	+	8.72461i	−1.27481	+	0.632950i
$191$		−	15.6223i		−	1.13039i	−0.824957	−	0.565195i	$-0.808801\pi$
$191$		−	15.6223i		−	1.13039i	0.824957	−	0.565195i	$-0.191199\pi$
$192$	−1.48943	−	14.4848i	−0.107490	−	1.04535i
$193$	0.205371	+	1.16472i	0.0147830	+	0.0838383i	0.991307	−	0.131572i	$-0.0420023\pi$
$193$	0.205371	+	1.16472i	0.0147830	+	0.0838383i	−0.976524	+	0.215410i	$0.930891\pi$
$194$	12.2133	−	14.5552i	0.876861	−	1.04500i
$195$	14.1937	−	11.7956i	1.01643	−	0.844700i
$196$	−1.99746	+	11.3282i	−0.142676	+	0.809155i
$197$	11.5254	−	19.9627i	0.821154	−	1.42228i	−0.0836699	−	0.996494i	$-0.526664\pi$
$197$	11.5254	−	19.9627i	0.821154	−	1.42228i	0.904824	−	0.425787i	$-0.140003\pi$
$198$	5.59897	+	0.812623i	0.397901	+	0.0577506i
$199$	2.45493	−	0.893520i	0.174025	−	0.0633399i	−0.253538	−	0.967325i	$-0.581594\pi$
$199$	2.45493	−	0.893520i	0.174025	−	0.0633399i	0.427563	+	0.903985i	$0.359372\pi$
$200$	−0.277066	+	0.438517i	−0.0195915	+	0.0310078i
$201$	−6.46611	+	9.53997i	−0.456084	+	0.672898i
$202$	14.8437	−	25.7100i	1.04440	−	1.80895i
$203$	−8.39998	−	1.48114i	−0.589563	−	0.103956i
$204$	8.30571	+	3.72038i	0.581516	+	0.260479i
$205$	−12.7365	+	5.63264i	−0.889555	+	0.393401i
$206$	−27.5148	+	4.85159i	−1.91704	+	0.338027i
$207$	−16.0064	+	9.90189i	−1.11252	+	0.688229i
$208$	−18.5567			−1.28667
$209$	−1.88276	+	3.62407i	−0.130233	+	0.250682i
$210$	9.20092	+	0.0436671i	0.634924	+	0.00301331i
$211$	1.28346	−	3.52628i	0.0883570	−	0.242759i	−0.887642	−	0.460534i	$-0.847658\pi$
$211$	1.28346	−	3.52628i	0.0883570	−	0.242759i	0.975999	+	0.217775i	$0.0698800\pi$
$212$	−7.90612	+	1.39406i	−0.542994	+	0.0957445i
$213$	2.86560	−	11.3840i	0.196347	−	0.780017i
$214$	−2.38024	+	1.99726i	−0.162710	+	0.136530i
$215$	−15.1884	+	20.7958i	−1.03584	+	1.41826i
$216$	0.398154	+	0.363402i	0.0270910	+	0.0247263i
$217$	−1.05913	−	1.83447i	−0.0718987	−	0.124532i
$218$	2.21538	−	0.806332i	0.150044	−	0.0546117i
$219$	−1.09131	+	1.12500i	−0.0737438	+	0.0760205i
$220$	0.289124	+	4.28828i	0.0194927	+	0.289116i
$221$	6.10222	−	10.5694i	0.410480	−	0.710972i
$222$	2.64808	+	9.31411i	0.177728	+	0.625122i
$223$	−11.9085	+	9.99243i	−0.797453	+	0.669142i	−0.947578	−	0.319525i	$-0.896477\pi$
$223$	−11.9085	+	9.99243i	−0.797453	+	0.669142i	0.150125	+	0.988667i	$0.452032\pi$
$224$	−7.27471	−	6.10421i	−0.486062	−	0.407855i
$225$	2.46439	+	14.7962i	0.164293	+	0.986412i
$226$	28.8903	+	10.5152i	1.92175	+	0.699461i
$227$			6.27576i			0.416537i	0.978072	+	0.208268i	$0.0667827\pi$
$227$			6.27576i			0.416537i	−0.978072	+	0.208268i	$0.933217\pi$
$228$	−13.6223	+	7.37122i	−0.902161	+	0.488171i
$229$	23.9804			1.58467			0.792334	−	0.610088i	$-0.208866\pi$
$229$	23.9804			1.58467			0.792334	+	0.610088i	$0.208866\pi$
$230$	−19.5649	−	20.3613i	−1.29007	−	1.34259i
$231$	1.55207	−	1.12231i	0.102119	−	0.0738426i
$232$	0.481915	−	0.574324i	0.0316393	−	0.0377062i
$233$	−9.88701	+	8.29619i	−0.647720	+	0.543501i	−0.906378	−	0.422467i	$-0.861164\pi$
$233$	−9.88701	+	8.29619i	−0.647720	+	0.543501i	0.258658	+	0.965969i	$0.416720\pi$
$234$	21.4701	−	19.1573i	1.40354	−	1.25235i
$235$	−1.62479	−	2.42186i	−0.105990	−	0.157985i
$236$	7.53755	+	13.0554i	0.490652	+	0.849835i
$237$	−11.4239	+	11.7766i	−0.742061	+	0.764970i
$238$	5.71767	−	2.08106i	0.370621	−	0.134895i
$239$	15.3826	−	8.88118i	0.995021	−	0.574476i	0.0882496	−	0.996098i	$-0.471873\pi$
$239$	15.3826	−	8.88118i	0.995021	−	0.574476i	0.906771	+	0.421623i	$0.138539\pi$
$240$	7.60311	−	13.0258i	0.490779	−	0.840813i
$241$	−17.6661	−	3.11501i	−1.13798	−	0.200656i	−0.427255	−	0.904131i	$-0.640519\pi$
$241$	−17.6661	−	3.11501i	−1.13798	−	0.200656i	−0.710720	+	0.703475i	$0.751631\pi$
$242$	−13.0964	−	15.6077i	−0.841868	−	1.00330i
$243$	15.5875	+	0.175574i	0.999937	+	0.0112631i
$244$	−0.246111	−	1.39576i	−0.0157556	−	0.0893547i
$245$	−9.04046	+	8.68681i	−0.577574	+	0.554980i
$246$	−19.5371	+	9.47447i	−1.24564	+	0.604070i
$247$	7.96451	+	19.1831i	0.506770	+	1.22059i
$248$	0.186190			0.0118231
$249$	0.383561	+	3.73015i	0.0243072	+	0.236389i
$250$	−20.9281	+	8.27395i	−1.32361	+	0.523290i
$251$	6.42047	−	7.65162i	0.405256	−	0.482966i	−0.524359	−	0.851497i	$-0.675695\pi$
$251$	6.42047	−	7.65162i	0.405256	−	0.482966i	0.929615	+	0.368532i	$0.120139\pi$
$252$	7.26074	−	0.220804i	0.457384	−	0.0139093i
$253$	−5.78881	−	1.02072i	−0.363939	−	0.0641723i
$254$	−14.6568	−	8.46210i	−0.919649	−	0.530960i
$255$	4.91891	+	8.61395i	0.308034	+	0.539427i
$256$	−14.2305	+	5.17947i	−0.889405	+	0.323717i
$257$	−5.15314	−	14.1581i	−0.321444	−	0.883160i	−0.990197	−	0.139676i	$-0.955394\pi$
$257$	−5.15314	−	14.1581i	−0.321444	−	0.883160i	0.668753	−	0.743484i	$-0.266828\pi$
$258$	−22.5269	+	33.2357i	−1.40246	+	2.06916i
$259$	2.83897	+	1.63908i	0.176405	+	0.101847i
$260$	17.6526	+	12.8927i	1.09477	+	0.799574i
$261$	−0.659010	−	21.6704i	−0.0407917	−	1.34136i
$262$	−25.2374	−	21.1767i	−1.55917	−	1.30830i
$263$	−0.658116	−	3.73236i	−0.0405811	−	0.230147i	0.957771	−	0.287532i	$-0.0928348\pi$
$263$	−0.658116	−	3.73236i	−0.0405811	−	0.230147i	−0.998352	+	0.0573851i	$0.981724\pi$
$264$	0.0172205	+	0.167470i	0.00105985	+	0.0103071i
$265$	−7.85502	−	3.85542i	−0.482530	−	0.236837i
$266$	−3.10575	+	9.87870i	−0.190426	+	0.605702i
$267$	−11.6697	−	24.0638i	−0.714173	−	1.47268i
$268$	−12.8274	−	4.66880i	−0.783560	−	0.285193i
$269$	1.06928	+	6.06421i	0.0651954	+	0.369742i	0.999898	+	0.0143097i	$0.00455509\pi$
$269$	1.06928	+	6.06421i	0.0651954	+	0.369742i	−0.934702	+	0.355432i	$0.884334\pi$
$270$	4.65062	+	22.9201i	0.283028	+	1.39487i
$271$	18.8050	−	15.7793i	1.14232	−	0.958522i	0.142810	−	0.989750i	$-0.454386\pi$
$271$	18.8050	−	15.7793i	1.14232	−	0.958522i	0.999512	+	0.0312276i	$0.00994167\pi$
$272$	1.73196	−	9.82244i	0.105016	−	0.595573i
$273$	0.701406	−	9.71600i	0.0424510	−	0.588039i
$274$	−34.8442	+	20.1173i	−2.10502	+	1.21533i
$275$	−2.50224	+	3.96035i	−0.150891	+	0.238818i
$276$	−16.0016	−	15.5223i	−0.963180	−	0.934335i
$277$	17.4369	−	10.0672i	1.04768	−	0.604880i	0.125684	−	0.992070i	$-0.459888\pi$
$277$	17.4369	−	10.0672i	1.04768	−	0.604880i	0.922000	+	0.387190i	$0.126554\pi$
$278$	35.3123	+	20.3875i	2.11789	+	1.22276i
$279$	4.01744	−	3.58468i	0.240518	−	0.214609i
$280$	0.0655739	+	0.265824i	0.00391879	+	0.0158860i
$281$	0.828246	+	0.694981i	0.0494090	+	0.0414591i	0.667158	−	0.744916i	$-0.267511\pi$
$281$	0.828246	+	0.694981i	0.0494090	+	0.0414591i	−0.617749	+	0.786376i	$0.711955\pi$
$282$	−2.66441	−	3.68467i	−0.158663	−	0.219419i
$283$	−1.19754	+	3.29020i	−0.0711861	+	0.195582i	−0.970183	−	0.242372i	$-0.922075\pi$
$283$	−1.19754	+	3.29020i	−0.0711861	+	0.195582i	0.898997	+	0.437954i	$0.144297\pi$
$284$	13.9045			0.825078
$285$	−16.7288	−	2.26909i	−0.990926	−	0.134409i
$286$	8.98646			0.531380
$287$	−2.51412	+	6.90749i	−0.148404	+	0.407736i
$288$	11.4280	−	21.2614i	0.673404	−	1.25284i
$289$	−7.99772	−	6.71088i	−0.470454	−	0.394758i
$290$	31.5801	−	7.79023i	1.85445	−	0.457458i
$291$	15.7266	−	4.47122i	0.921911	−	0.262108i
$292$	−1.60774	−	0.928228i	−0.0940858	−	0.0543205i
$293$	7.05056	−	4.07064i	0.411898	−	0.237810i	−0.279707	−	0.960085i	$-0.590237\pi$
$293$	7.05056	−	4.07064i	0.411898	−	0.237810i	0.691605	+	0.722276i	$0.256904\pi$
$294$	−13.6107	+	14.0309i	−0.793793	+	0.818300i
$295$	−1.75825	+	16.3367i	−0.102369	+	0.951159i
$296$	−0.249538	+	0.144071i	−0.0145041	+	0.00837395i
$297$	3.59582	+	3.28196i	0.208651	+	0.190439i
$298$	−1.04234	+	5.91142i	−0.0603813	+	0.342439i
$299$	−22.9015	+	19.2166i	−1.32443	+	1.11133i
$300$	−16.2827	+	7.10875i	−0.940083	+	0.410424i
$301$	2.36033	+	13.3861i	0.136047	+	0.771561i
$302$	−22.3221	−	8.12458i	−1.28449	−	0.467517i
$303$	22.9857	−	11.1469i	1.32050	−	0.640370i
$304$	11.4783	+	12.5056i	0.658326	+	0.717243i
$305$	0.680645	−	1.38674i	0.0389736	−	0.0794047i
$306$	8.13648	+	13.1526i	0.465132	+	0.751883i
$307$	−2.90389	−	16.4688i	−0.165734	−	0.939924i	−0.948304	−	0.317362i	$-0.897203\pi$
$307$	−2.90389	−	16.4688i	−0.165734	−	0.939924i	0.782570	−	0.622562i	$-0.213908\pi$
$308$	1.73787	+	1.45825i	0.0990244	+	0.0830914i
$309$	−21.9411	−	9.82808i	−1.24818	−	0.559100i
$310$	6.52326	+	4.76432i	0.370496	+	0.270595i
$311$	−5.91633	−	3.41579i	−0.335484	−	0.193692i	0.322789	−	0.946471i	$-0.395380\pi$
$311$	−5.91633	−	3.41579i	−0.335484	−	0.193692i	−0.658273	+	0.752779i	$0.728713\pi$
$312$	0.708769	+	0.480398i	0.0401262	+	0.0271972i
$313$	8.60159	+	23.6327i	0.486191	+	1.33580i	0.904104	+	0.427312i	$0.140539\pi$
$313$	8.60159	+	23.6327i	0.486191	+	1.33580i	−0.417914	+	0.908487i	$0.637239\pi$
$314$	6.67244	−	2.42857i	0.376547	−	0.137052i
$315$	6.53274	+	4.47322i	0.368078	+	0.252038i
$316$	−16.8299	−	9.71675i	−0.946756	−	0.546610i
$317$	7.38228	+	1.30170i	0.414630	+	0.0731105i	0.377072	−	0.926184i	$-0.376931\pi$
$317$	7.38228	+	1.30170i	0.414630	+	0.0731105i	0.0375582	+	0.999294i	$0.488042\pi$
$318$	−12.4508	−	5.57707i	−0.698204	−	0.312747i
$319$	4.35228	−	5.18685i	0.243681	−	0.290408i
$320$	18.0571	+	5.22656i	1.00943	+	0.292174i
$321$	−2.65971	+	0.273490i	−0.148450	+	0.0152647i
$322$	−14.9048			−0.830609
$323$	−10.8974	+	2.42536i	−0.606345	+	0.134951i
$324$	4.30520	+	17.9549i	0.239178	+	0.997496i
$325$	7.24945	+	22.6960i	0.402127	+	1.25895i
$326$	7.96349	+	45.1632i	0.441057	+	2.50136i
$327$	1.96731	+	0.495214i	0.108792	+	0.0273854i
$328$	−0.415315	−	0.494953i	−0.0229319	−	0.0273292i
$329$	−1.51598	−	0.267308i	−0.0835786	−	0.0147372i
$330$	−3.68196	+	6.30802i	−0.202685	+	0.347245i
$331$	28.8561	−	16.6601i	1.58608	−	0.915721i	0.592131	−	0.805842i	$-0.298287\pi$
$331$	28.8561	−	16.6601i	1.58608	−	0.915721i	0.993945	−	0.109880i	$-0.0350466\pi$
$332$	−4.17364	+	1.51908i	−0.229058	+	0.0833704i
$333$	−2.61053	+	7.91291i	−0.143056	+	0.433625i
$334$	−16.2906	−	28.2161i	−0.891381	−	1.54392i
$335$	−8.28917	−	12.3555i	−0.452886	−	0.675055i
$336$	−2.17710	−	7.65750i	−0.118770	−	0.417751i
$337$	−13.5017	+	11.3292i	−0.735483	+	0.617144i	−0.931620	−	0.363433i	$-0.881605\pi$
$337$	−13.5017	+	11.3292i	−0.735483	+	0.617144i	0.196137	+	0.980576i	$0.437160\pi$
$338$	12.5586	−	14.9667i	0.683096	−	0.814082i
$339$	15.5019	+	21.4379i	0.841948	+	1.16435i
$340$	−8.47198	+	8.14057i	−0.459458	+	0.441485i
$341$	1.68153			0.0910598
$342$	−26.1907	−	2.61911i	−1.41623	−	0.141625i
$343$			14.8796i			0.803423i
$344$	−1.12270	−	0.408629i	−0.0605319	−	0.0220318i
$345$	−4.10578	−	23.9491i	−0.221048	−	1.28938i
$346$	−3.08248	−	2.58650i	−0.165715	−	0.139051i
$347$	−9.23289	+	7.74731i	−0.495647	+	0.415898i	−0.856045	−	0.516901i	$-0.827085\pi$
$347$	−9.23289	+	7.74731i	−0.495647	+	0.415898i	0.360398	+	0.932799i	$0.382641\pi$
$348$	24.7006	−	7.02261i	1.32409	−	0.376451i
$349$	1.81738	−	3.14779i	0.0972821	−	0.168498i	−0.813277	−	0.581877i	$-0.802318\pi$
$349$	1.81738	−	3.14779i	0.0972821	−	0.168498i	0.910559	+	0.413380i	$0.135652\pi$
$350$	−4.50462	+	10.9912i	−0.240782	+	0.587504i
$351$	24.5421	−	3.28020i	1.30996	−	0.175084i
$352$	7.08387	−	2.57832i	0.377572	−	0.137425i
$353$	8.09015	+	14.0126i	0.430595	+	0.745813i	0.996925	−	0.0783659i	$-0.0249702\pi$
$353$	8.09015	+	14.0126i	0.430595	+	0.745813i	−0.566329	+	0.824179i	$0.691637\pi$
$354$	−1.84461	+	25.5518i	−0.0980398	+	1.35806i
$355$	12.2385	+	8.93849i	0.649552	+	0.474406i
$356$	24.2662	−	20.3618i	1.28611	−	1.07917i
$357$	5.07742	+	1.27810i	0.268725	+	0.0676441i
$358$	19.2236	−	3.38965i	1.01600	−	0.179148i
$359$	4.41314	−	12.1250i	0.232917	−	0.639934i	−0.767082	−	0.641549i	$-0.778292\pi$
$359$	4.41314	−	12.1250i	0.232917	−	0.639934i	0.999999	+	0.00161552i	$0.000514237\pi$
$360$	−0.627614	+	0.300689i	−0.0330781	+	0.0158477i
$361$	8.00121	−	17.2331i	0.421116	−	0.907007i
$362$	−19.3522			−1.01713
$363$	−1.79332	−	17.4402i	−0.0941251	−	0.915371i
$364$	11.3628	−	2.00358i	0.595575	−	0.105016i
$365$	−0.818395	−	1.85055i	−0.0428367	−	0.0968621i
$366$	0.984590	−	2.19809i	0.0514654	−	0.114896i
$367$	11.3565	+	2.00245i	0.592803	+	0.104527i	0.461998	−	0.886881i	$-0.347133\pi$
$367$	11.3565	+	2.00245i	0.592803	+	0.104527i	0.130805	+	0.991408i	$0.458244\pi$
$368$	−12.2160	+	21.1588i	−0.636804	+	1.10298i
$369$	−18.4905	−	2.68367i	−0.962576	−	0.139707i
$370$	−12.4292	−	1.33770i	−0.646164	−	0.0695439i
$371$	−4.34008	+	1.57966i	−0.225326	+	0.0820119i
$372$	5.27903	+	3.57808i	0.273705	+	0.185515i
$373$	6.04940	−	10.4779i	0.313226	−	0.542524i	−0.665833	−	0.746101i	$-0.731924\pi$
$373$	6.04940	−	10.4779i	0.313226	−	0.542524i	0.979059	+	0.203577i	$0.0652568\pi$
$374$	−0.838738	+	4.75672i	−0.0433701	+	0.245964i
$375$	−18.9017	−	4.21035i	−0.976078	−	0.217421i
$376$	0.0869732	−	0.103651i	0.00448530	−	0.00534537i
$377$	−5.97987	−	33.9135i	−0.307979	−	1.74663i
$378$	10.4243	+	6.61217i	0.536166	+	0.340093i
$379$			17.4208i			0.894847i	0.894322	+	0.447424i	$0.147658\pi$
$379$			17.4208i			0.894847i	−0.894322	+	0.447424i	$0.852342\pi$
$380$	−2.23052	−	19.8711i	−0.114424	−	1.01937i
$381$	−6.35461	−	13.1037i	−0.325557	−	0.671324i
$382$	29.5489	+	10.7549i	1.51185	+	0.550269i
$383$	17.7328	−	3.12676i	0.906102	−	0.159770i	0.298869	−	0.954294i	$-0.403391\pi$
$383$	17.7328	−	3.12676i	0.906102	−	0.159770i	0.607233	+	0.794524i	$0.292280\pi$
$384$	1.39355	+	0.350787i	0.0711142	+	0.0179010i
$385$	0.592213	+	2.40072i	0.0301820	+	0.122352i
$386$	−2.34440	−	0.413380i	−0.119327	−	0.0210405i
$387$	−32.0918	+	12.7980i	−1.63132	+	0.650561i
$388$	9.68287	+	16.7712i	0.491573	+	0.851430i
$389$	3.22414	+	8.85825i	0.163470	+	0.449131i	0.994200	−	0.107545i	$-0.0342988\pi$
$389$	3.22414	+	8.85825i	0.163470	+	0.449131i	−0.830730	+	0.556676i	$0.812077\pi$
$390$	12.5394	+	34.9672i	0.634958	+	1.77063i
$391$	−8.03428	−	13.9158i	−0.406311	−	0.703751i
$392$	−0.503750	−	0.290840i	−0.0254432	−	0.0146897i
$393$	−7.75271	−	27.2686i	−0.391072	−	1.37552i
$394$	29.8240	+	35.5428i	1.50251	+	1.79062i
$395$	−8.56701	−	19.3717i	−0.431053	−	0.974693i
$396$	−2.73007	+	5.07918i	−0.137191	+	0.255238i
$397$	4.94062	−	13.5743i	0.247963	−	0.681272i	−0.751798	−	0.659394i	$-0.770813\pi$
$397$	4.94062	−	13.5743i	0.247963	−	0.681272i	0.999761	−	0.0218785i	$-0.00696470\pi$
$398$			5.25851i			0.263585i
$399$	−6.98158	+	5.53718i	−0.349516	+	0.277206i
$400$	11.9111	+	15.4032i	0.595554	+	0.770160i
$401$	17.3408	+	6.31155i	0.865960	+	0.315184i	0.736530	−	0.676405i	$-0.236463\pi$
$401$	17.3408	+	6.31155i	0.865960	+	0.315184i	0.129430	+	0.991589i	$0.458685\pi$
$402$	−13.5929	−	18.7980i	−0.677954	−	0.937558i
$403$	5.49722	−	6.55133i	0.273836	−	0.326345i
$404$	19.4495	+	23.1791i	0.967650	+	1.15320i
$405$	−7.75296	+	18.5713i	−0.385248	+	0.922813i
$406$	8.58434	−	14.8685i	0.426033	−	0.737912i
$407$	−2.25363	+	1.30114i	−0.111709	+	0.0644949i
$408$	−0.320436	+	0.330329i	−0.0158640	+	0.0163537i
$409$	−11.4454	−	31.4459i	−0.565938	−	1.55490i	−0.810788	−	0.585340i	$-0.800961\pi$
$409$	−11.4454	−	31.4459i	−0.565938	−	1.55490i	0.244850	−	0.969561i	$-0.421261\pi$
$410$	−1.88566	−	27.9682i	−0.0931263	−	1.38125i
$411$	−34.5320	−	2.49290i	−1.70334	−	0.122966i
$412$	4.94486	−	28.0437i	0.243616	−	1.38161i
$413$	5.57478	+	6.64376i	0.274317	+	0.326918i
$414$	−7.70967	−	37.0921i	−0.378910	−	1.82298i
$415$	−4.65012	−	1.34596i	−0.228265	−	0.0660704i
$416$	13.1132	−	36.0282i	0.642927	−	1.76643i
$417$	15.3100	+	31.5705i	0.749735	+	1.54601i
$418$	−5.55861	−	6.05607i	−0.271880	−	0.296212i
$419$		−	33.0081i		−	1.61255i	−0.591540	−	0.806275i	$-0.701480\pi$
$419$		−	33.0081i		−	1.61255i	0.591540	−	0.806275i	$-0.298520\pi$
$420$	−3.24922	+	8.79703i	−0.158546	+	0.429251i
$421$	11.8926	−	2.09699i	0.579610	−	0.102201i	0.123846	−	0.992301i	$-0.460477\pi$
$421$	11.8926	−	2.09699i	0.579610	−	0.102201i	0.455764	+	0.890101i	$0.349366\pi$
$422$	5.78622	+	4.85521i	0.281669	+	0.236348i
$423$	−0.118934	−	3.91095i	−0.00578279	−	0.190157i
$424$	0.0704950	−	0.399797i	0.00342354	−	0.0194159i
$425$	−12.6901	+	1.71899i	−0.615559	+	0.0833833i
$426$	19.5595	+	13.2572i	0.947660	+	0.642316i
$427$	−0.278877	−	0.766209i	−0.0134958	−	0.0370794i
$428$	−1.08315	−	2.97593i	−0.0523560	−	0.143847i
$429$	6.40106	+	4.33858i	0.309046	+	0.209469i
$430$	−28.8781	−	43.0446i	−1.39263	−	2.07580i
$431$	3.72838	−	21.1447i	0.179590	−	1.01850i	−0.753122	−	0.657881i	$-0.771453\pi$
$431$	3.72838	−	21.1447i	0.179590	−	1.01850i	0.932712	−	0.360623i	$-0.117436\pi$
$432$	17.9304	−	9.37889i	0.862677	−	0.451242i
$433$	−18.7181	−	15.7064i	−0.899536	−	0.754800i	0.0705636	−	0.997507i	$-0.477520\pi$
$433$	−18.7181	−	15.7064i	−0.899536	−	0.754800i	−0.970100	+	0.242707i	$0.921965\pi$
$434$	4.19897	−	0.740391i	0.201557	−	0.0355399i
$435$	26.2556	+	9.69762i	1.25886	+	0.464965i
$436$			2.40288i			0.115077i
$437$	27.1161	+	3.54705i	1.29714	+	0.169678i
$438$	−1.37659	−	2.83865i	−0.0657762	−	0.135636i
$439$	−1.13488	+	3.11806i	−0.0541649	+	0.148817i	−0.963824	−	0.266538i	$-0.914120\pi$
$439$	−1.13488	+	3.11806i	−0.0541649	+	0.148817i	0.909660	+	0.415355i	$0.136342\pi$
$440$	−0.208773	−	0.0604285i	−0.00995287	−	0.00288081i
$441$	−16.4689	+	3.42310i	−0.784234	+	0.163005i
$442$	15.7905	+	18.8184i	0.751077	+	0.895098i
$443$	−2.17392	+	12.3289i	−0.103286	+	0.585765i	0.888605	+	0.458673i	$0.151675\pi$
$443$	−2.17392	+	12.3289i	−0.103286	+	0.585765i	−0.991891	+	0.127091i	$0.959436\pi$
$444$	−9.84377	−	0.710630i	−0.467165	−	0.0337250i
$445$	34.4484	−	2.32257i	1.63301	−	0.110100i
$446$	−10.7020	−	29.4035i	−0.506755	−	1.39230i
$447$	−3.59644	+	3.70747i	−0.170106	+	0.175358i
$448$	8.59301	−	4.96118i	0.405982	−	0.234394i
$449$	8.46391	−	14.6599i	0.399436	−	0.691844i	−0.594220	−	0.804303i	$-0.702539\pi$
$449$	8.46391	−	14.6599i	0.399436	−	0.691844i	0.993656	+	0.112458i	$0.0358725\pi$
$450$	−29.6829	−	5.52489i	−1.39926	−	0.260446i
$451$	−3.75081	−	4.47004i	−0.176619	−	0.210486i
$452$	−20.1420	+	24.0043i	−0.947402	+	1.12907i
$453$	−11.9776	−	16.5641i	−0.562756	−	0.778247i
$454$	−11.8703	−	4.32044i	−0.557101	−	0.202768i
$455$	11.2894	+	5.54109i	0.529255	+	0.259770i
$456$	−0.114667	−	0.774799i	−0.00536975	−	0.0362833i
$457$			17.4527i			0.816405i	0.912891	+	0.408203i	$0.133844\pi$
$457$			17.4527i			0.816405i	−0.912891	+	0.408203i	$0.866156\pi$
$458$	−16.5089	+	45.3578i	−0.771410	+	2.11943i
$459$	−0.554327	+	13.2968i	−0.0258738	+	0.620642i
$460$	26.3215	−	11.6405i	1.22724	−	0.542742i
$461$	7.83102	+	9.33265i	0.364727	+	0.434665i	0.916932	−	0.399044i	$-0.130658\pi$
$461$	7.83102	+	9.33265i	0.364727	+	0.434665i	−0.552205	+	0.833708i	$0.686213\pi$
$462$	1.05430	+	3.70830i	0.0490507	+	0.172526i
$463$	−1.81354	−	1.04705i	−0.0842825	−	0.0486605i	0.457266	−	0.889330i	$-0.348829\pi$
$463$	−1.81354	−	1.04705i	−0.0842825	−	0.0486605i	−0.541549	+	0.840669i	$0.682162\pi$
$464$	−14.0715	−	24.3726i	−0.653255	−	1.13147i
$465$	2.34635	+	6.54300i	0.108809	+	0.303424i
$466$	−8.88532	−	24.4122i	−0.411604	−	1.13087i
$467$	−14.8400	−	25.7036i	−0.686712	−	1.18942i	−0.972896	−	0.231245i	$-0.925720\pi$
$467$	−14.8400	−	25.7036i	−0.686712	−	1.18942i	0.286184	−	0.958175i	$-0.407613\pi$
$468$	10.8637	+	27.2413i	0.502174	+	1.25923i
$469$	−7.73403	−	1.36372i	−0.357124	−	0.0629706i
$470$	5.69940	−	1.40594i	0.262894	−	0.0648510i
$471$	5.92527	+	1.49152i	0.273022	+	0.0687257i
$472$	−0.750737	+	0.132375i	−0.0345555	+	0.00609306i
$473$	−10.1394	−	3.69043i	−0.466208	−	0.169686i
$474$	−14.4103	−	29.7151i	−0.661886	−	1.36486i
$475$	10.8109	−	18.9242i	0.496038	−	0.868301i
$476$			6.20159i			0.284249i
$477$	−6.17612	−	9.98366i	−0.282785	−	0.457121i
$478$	6.20842	+	35.2097i	0.283966	+	1.61045i
$479$	−23.2182	+	27.6704i	−1.06087	+	1.26429i	−0.0977488	+	0.995211i	$0.531164\pi$
$479$	−23.2182	+	27.6704i	−1.06087	+	1.26429i	−0.963118	+	0.269080i	$0.913280\pi$
$480$	19.9171	+	23.9664i	0.909088	+	1.09391i
$481$	−2.29824	+	13.0340i	−0.104791	+	0.594297i
$482$	18.0539	−	31.2702i	0.822330	−	1.42432i
$483$	−10.6167	−	7.19588i	−0.483075	−	0.327424i
$484$	19.5137	−	7.10241i	0.886987	−	0.322837i
$485$	−2.25868	+	20.9864i	−0.102561	+	0.952944i
$486$	−11.0630	+	29.3621i	−0.501829	+	1.33189i
$487$	−10.5042	+	18.1937i	−0.475988	+	0.824436i	−0.999622	−	0.0275076i	$-0.991243\pi$
$487$	−10.5042	+	18.1937i	−0.475988	+	0.824436i	0.523633	+	0.851944i	$0.324576\pi$
$488$	0.0705812	+	0.0124454i	0.00319506	+	0.000563375i
$489$	−16.1320	+	36.0145i	−0.729514	+	1.62863i
$490$	−10.2070	−	23.0799i	−0.461103	−	1.04264i
$491$	25.5198	−	4.49984i	1.15169	−	0.203075i	0.434979	−	0.900441i	$-0.356756\pi$
$491$	25.5198	−	4.49984i	1.15169	−	0.203075i	0.716715	+	0.697366i	$0.245645\pi$
$492$	−2.26370	−	22.0146i	−0.102055	−	0.992494i
$493$	18.5093			0.833615
$494$	−41.7669	+	1.85825i	−1.87918	+	0.0836066i
$495$	−5.66812	+	2.71559i	−0.254763	+	0.122057i
$496$	2.39044	−	6.56768i	0.107334	−	0.294897i
$497$	7.87782	−	1.38907i	0.353368	−	0.0623084i
$498$	−7.31946	−	1.84247i	−0.327993	−	0.0825631i
$499$	−31.2513	+	26.2230i	−1.39900	+	1.17390i	−0.437461	+	0.899237i	$0.644122\pi$
$499$	−31.2513	+	26.2230i	−1.39900	+	1.17390i	−0.961540	+	0.274664i	$0.911433\pi$
$500$	−0.629008	−	22.9283i	−0.0281301	−	1.02538i
$501$	2.01869	−	27.9633i	0.0901886	−	1.24931i
$502$	10.0526	+	17.4116i	0.448670	+	0.777120i
$503$	−23.7152	+	8.63163i	−1.05741	+	0.384866i	−0.811454	−	0.584416i	$-0.801324\pi$
$503$	−23.7152	+	8.63163i	−1.05741	+	0.384866i	−0.245955	+	0.969281i	$0.579102\pi$
$504$	−0.115084	+	0.348838i	−0.00512627	+	0.0155385i
$505$	2.21851	+	32.9050i	0.0987226	+	1.46425i
$506$	5.91586	−	10.2466i	0.262992	−	0.455515i
$507$	16.1713	−	4.59764i	0.718192	−	0.204188i
$508$	13.2139	−	11.0878i	0.586274	−	0.491942i
$509$	31.0757	+	26.0756i	1.37741	+	1.15578i	0.970160	+	0.242464i	$0.0779557\pi$
$509$	31.0757	+	26.0756i	1.37741	+	1.15578i	0.407247	+	0.913318i	$0.366489\pi$
$510$	−19.6792	+	3.37376i	−0.871411	+	0.149393i
$511$	−1.00362	−	0.365289i	−0.0443977	−	0.0161594i
$512$		−	32.1414i		−	1.42046i
$513$	−17.3912	−	14.5102i	−0.767839	−	0.640642i
$514$	30.3271			1.33767
$515$	22.3803	−	21.5048i	0.986195	−	0.947617i
$516$	−23.9790	−	33.1611i	−1.05562	−	1.45984i
$517$	0.785475	−	0.936092i	0.0345451	−	0.0411693i
$518$	−5.05468	+	4.24138i	−0.222090	+	0.186356i
$519$	−0.946908	−	3.33056i	−0.0415647	−	0.146195i
$520$	−0.917950	+	0.615841i	−0.0402548	+	0.0270064i
$521$	22.5127	+	38.9931i	0.986297	+	1.70832i	0.636024	+	0.771670i	$0.280578\pi$
$521$	22.5127	+	38.9931i	0.986297	+	1.70832i	0.350274	+	0.936647i	$0.386089\pi$
$522$	41.4422	+	13.6721i	1.81388	+	0.598413i
$523$	−5.14331	+	1.87201i	−0.224901	+	0.0818574i	−0.452013	−	0.892011i	$-0.649294\pi$
$523$	−5.14331	+	1.87201i	−0.224901	+	0.0818574i	0.227112	+	0.973869i	$0.427072\pi$
$524$	29.0798	−	16.7892i	1.27036	−	0.733441i
$525$	−8.51509	+	5.65425i	−0.371629	+	0.246772i
$526$	7.51266	+	1.32468i	0.327567	+	0.0577590i
$527$	2.95468	+	3.52125i	0.128708	+	0.153388i
$528$	6.12842	+	1.54266i	0.266705	+	0.0671356i
$529$	2.84110	+	16.1127i	0.123526	+	0.700551i
$530$	12.7000	−	12.2032i	0.551653	−	0.530073i
$531$	−13.6501	+	17.3100i	−0.592364	+	0.751191i
$532$	−8.37876	−	6.41823i	−0.363265	−	0.278265i
$533$	−29.6776			−1.28548
$534$	53.5495	−	5.50634i	2.31731	−	0.238283i
$535$	0.959707	−	3.31567i	0.0414917	−	0.143349i
$536$	0.443709	−	0.528791i	0.0191653	−	0.0228403i
$537$	15.3295	+	6.86655i	0.661517	+	0.296314i
$538$	−12.2063	−	2.15230i	−0.526252	−	0.0927924i
$539$	−4.54948	−	2.62665i	−0.195960	−	0.113138i
$540$	−23.5731	−	3.53566i	−1.01442	−	0.152151i
$541$	−22.2218	+	8.08807i	−0.955389	+	0.347733i	−0.772225	−	0.635349i	$-0.780856\pi$
$541$	−22.2218	+	8.08807i	−0.955389	+	0.347733i	−0.183164	+	0.983082i	$0.558634\pi$
$542$	16.8998	+	46.4318i	0.725908	+	1.99442i
$543$	−13.7846	−	9.34306i	−0.591553	−	0.400949i
$544$	17.8466	+	10.3037i	0.765166	+	0.441769i
$545$	−1.54469	+	2.11498i	−0.0661674	+	0.0905957i
$546$	17.8945	+	8.01549i	0.765814	+	0.343031i
$547$	4.58012	+	3.84318i	0.195832	+	0.164322i	0.735431	−	0.677600i	$-0.236980\pi$
$547$	4.58012	+	3.84318i	0.195832	+	0.164322i	−0.539599	+	0.841922i	$0.681424\pi$
$548$	−7.12099	−	40.3851i	−0.304194	−	1.72517i
$549$	1.76254	−	1.09035i	0.0752234	−	0.0465349i
$550$	−5.76819	−	7.45931i	−0.245956	−	0.318066i
$551$	−19.1558	+	25.0072i	−0.816066	+	1.06534i
$552$	1.01435	−	0.491906i	0.0431736	−	0.0209369i
$553$	−10.5060	−	3.82387i	−0.446760	−	0.162607i
$554$	7.03752	+	39.9118i	0.298996	+	1.69569i
$555$	−8.20751	−	6.95356i	−0.348389	−	0.295162i
$556$	−31.8360	+	26.7136i	−1.35015	+	1.13291i
$557$	6.06203	−	34.3795i	0.256856	−	1.45670i	−0.534406	−	0.845228i	$-0.679465\pi$
$557$	6.06203	−	34.3795i	0.256856	−	1.45670i	0.791262	−	0.611477i	$-0.209424\pi$
$558$	4.01451	+	10.0666i	0.169948	+	0.426154i
$559$	−47.5256	+	27.4389i	−2.01012	+	1.16054i
$560$	10.2186	+	1.09978i	0.431813	+	0.0464742i
$561$	−2.89393	+	2.98328i	−0.122182	+	0.125954i
$562$	−1.88472	+	1.08814i	−0.0795020	+	0.0459005i
$563$	−6.00854	−	3.46903i	−0.253230	−	0.146202i	0.368013	−	0.929821i	$-0.380038\pi$
$563$	−6.00854	−	3.46903i	−0.253230	−	0.146202i	−0.621242	+	0.783619i	$0.713372\pi$
$564$	4.45783	−	1.26740i	0.187708	−	0.0533672i
$565$	−33.1599	+	8.17993i	−1.39505	+	0.344132i
$566$	−5.39884	−	4.53017i	−0.226930	−	0.190417i
$567$	4.23291	+	9.74259i	0.177765	+	0.409150i
$568$	−0.240482	+	0.660718i	−0.0100904	+	0.0277231i
$569$	0.0728404			0.00305363			0.00152681	−	0.999999i	$-0.499514\pi$
$569$	0.0728404			0.00305363			0.00152681	+	0.999999i	$0.499514\pi$
$570$	15.8085	−	30.0796i	0.662145	−	1.25989i
$571$	−15.6140			−0.653427			−0.326713	−	0.945123i	$-0.605941\pi$
$571$	−15.6140			−0.653427			−0.326713	+	0.945123i	$0.605941\pi$
$572$	−3.13264	+	8.60685i	−0.130982	+	0.359871i
$573$	15.8553	+	21.9267i	0.662365	+	0.916000i
$574$	−11.3344	−	9.51069i	−0.473088	−	0.396968i
$575$	30.6509	+	6.67496i	1.27823	+	0.278365i
$576$	16.7913	+	18.8184i	0.699636	+	0.784100i
$577$	1.55172	+	0.895885i	0.0645989	+	0.0372962i	0.531952	−	0.846775i	$-0.321459\pi$
$577$	1.55172	+	0.895885i	0.0645989	+	0.0372962i	−0.467353	+	0.884071i	$0.654792\pi$
$578$	18.1992	−	10.5073i	0.756988	−	0.437047i
$579$	−1.47034	−	1.42630i	−0.0611052	−	0.0592752i
$580$	−3.54753	+	32.9618i	−0.147303	+	1.36866i
$581$	−2.21289	+	1.27761i	−0.0918063	+	0.0530044i
$582$	−2.36962	+	32.8243i	−0.0982238	+	1.36061i
$583$	0.636657	−	3.61066i	0.0263676	−	0.149538i
$584$	0.0719143	−	0.0603433i	0.00297584	−	0.00249702i
$585$	−7.95003	+	30.9611i	−0.328693	+	1.28008i
$586$	2.84560	+	16.1382i	0.117551	+	0.666662i
$587$	37.9160	+	13.8003i	1.56496	+	0.569600i	0.971866	−	0.235533i	$-0.0756834\pi$
$587$	37.9160	+	13.8003i	1.56496	+	0.569600i	0.593096	+	0.805132i	$0.297906\pi$
$588$	−8.69359	−	17.9269i	−0.358518	−	0.739292i
$589$	−7.81534	+	0.347712i	−0.322026	+	0.0143272i
$590$	−29.6897	−	14.5724i	−1.22230	−	0.599935i
$591$	4.08387	+	39.7159i	0.167988	+	1.63369i
$592$	1.87821	+	10.6519i	0.0771941	+	0.437790i
$593$	17.6305	+	14.7938i	0.723999	+	0.607507i	0.928488	−	0.371362i	$-0.121109\pi$
$593$	17.6305	+	14.7938i	0.723999	+	0.607507i	−0.204490	+	0.978869i	$0.565553\pi$
$594$	−8.68317	+	4.54192i	−0.356275	+	0.186357i
$595$	−3.98670	+	5.45855i	−0.163439	+	0.223779i
$596$	−5.29835	−	3.05901i	−0.217029	−	0.125302i
$597$	−2.53876	+	3.74564i	−0.103905	+	0.153299i
$598$	−20.5812	−	56.5464i	−0.841629	−	2.31236i
$599$	−5.51605	+	2.00768i	−0.225380	+	0.0820315i	−0.452242	−	0.891895i	$-0.649376\pi$
$599$	−5.51605	+	2.00768i	−0.225380	+	0.0820315i	0.226862	+	0.973927i	$0.427153\pi$
$600$	−0.0561821	−	0.896678i	−0.00229362	−	0.0366067i
$601$	40.7691	+	23.5381i	1.66301	+	0.960138i	0.971267	+	0.237992i	$0.0764893\pi$
$601$	40.7691	+	23.5381i	1.66301	+	0.960138i	0.691741	+	0.722146i	$0.256844\pi$
$602$	−26.9441	−	4.75097i	−1.09816	−	0.193635i
$603$	−0.606764	−	19.9524i	−0.0247093	−	0.812523i
$604$	15.5628	−	18.5470i	0.633240	−	0.754666i
$605$	21.7415	+	6.29297i	0.883916	+	0.255846i
$606$	5.25965	+	51.1503i	0.213659	+	2.07784i
$607$	−31.8356			−1.29217			−0.646084	−	0.763266i	$-0.723594\pi$
$607$	−31.8356			−1.29217			−0.646084	+	0.763266i	$0.723594\pi$
$608$	−32.3910	+	13.4482i	−1.31363	+	0.545398i
$609$	13.2930	−	6.44641i	0.538660	−	0.261222i
$610$	2.15438	+	2.24209i	0.0872284	+	0.0907796i
$611$	−1.07921	−	6.12052i	−0.0436602	−	0.247610i
$612$	−15.4333	+	3.20785i	−0.623855	+	0.129670i
$613$	−24.3119	−	28.9738i	−0.981950	−	1.17024i	−0.985401	−	0.170248i	$-0.945543\pi$
$613$	−24.3119	−	28.9738i	−0.981950	−	1.17024i	0.00345130	−	0.999994i	$-0.498901\pi$
$614$	33.1491	+	5.84508i	1.33779	+	0.235888i
$615$	12.1596	−	20.8321i	0.490323	−	0.840032i
$616$	−0.0993507	+	0.0573601i	−0.00400295	+	0.00231111i
$617$	17.3974	−	6.33214i	0.700393	−	0.254922i	0.0328145	−	0.999461i	$-0.489553\pi$
$617$	17.3974	−	6.33214i	0.700393	−	0.254922i	0.667579	+	0.744539i	$0.267331\pi$
$618$	33.6943	−	34.7346i	1.35538	−	1.39723i
$619$	−16.4031	−	28.4110i	−0.659296	−	1.14193i	−0.980798	−	0.195025i	$-0.937521\pi$
$619$	−16.4031	−	28.4110i	−0.659296	−	1.14193i	0.321503	−	0.946909i	$-0.395812\pi$
$620$	−6.83704	+	4.58688i	−0.274582	+	0.184214i
$621$	12.4161	−	30.1429i	0.498242	−	1.20959i
$622$	10.5338	−	8.83892i	0.422367	−	0.354408i
$623$	11.7143	−	13.9606i	0.469323	−	0.559318i
$624$	26.0452	−	18.8335i	1.04264	−	0.753942i
$625$	14.1858	−	20.5855i	0.567433	−	0.823420i
$626$	−50.6218			−2.02325
$627$	−1.03558	−	6.99739i	−0.0413571	−	0.279449i
$628$			7.23717i			0.288794i
$629$	−6.68464	−	2.43301i	−0.266534	−	0.0970105i
$630$	−12.9583	+	9.27686i	−0.516269	+	0.369599i
$631$	4.70153	+	3.94505i	0.187165	+	0.157050i	0.731556	−	0.681782i	$-0.238795\pi$
$631$	4.70153	+	3.94505i	0.187165	+	0.157050i	−0.544391	+	0.838832i	$0.683239\pi$
$632$	0.752803	−	0.631677i	0.0299449	−	0.0251268i
$633$	1.77747	+	6.25190i	0.0706482	+	0.248491i
$634$	−7.54430	+	13.0671i	−0.299623	+	0.518962i
$635$	18.7585	−	1.26473i	0.744409	−	0.0501894i
$636$	9.68176	−	9.98067i	0.383907	−	0.395759i
$637$	−25.1067	+	9.13808i	−0.994762	+	0.362064i
$638$	6.81443	+	11.8029i	0.269786	+	0.467283i
$639$	7.53176	+	18.8863i	0.297952	+	0.747130i
$640$	−1.09419	+	1.49815i	−0.0432516	+	0.0592197i
$641$	−19.6479	+	16.4866i	−0.776047	+	0.651181i	−0.942250	−	0.334911i	$-0.891294\pi$
$641$	−19.6479	+	16.4866i	−0.776047	+	0.651181i	0.166203	+	0.986092i	$0.446849\pi$
$642$	1.31374	−	5.21899i	0.0518490	−	0.205977i
$643$	22.4057	−	3.95073i	0.883595	−	0.155802i	0.286603	−	0.958049i	$-0.407474\pi$
$643$	22.4057	−	3.95073i	0.883595	−	0.155802i	0.596991	+	0.802248i	$0.296363\pi$
$644$	5.19573	−	14.2751i	0.204740	−	0.562520i
$645$	0.211683	−	44.6028i	0.00833499	−	1.75623i
$646$	2.91465	−	22.2815i	0.114675	−	0.876656i
$647$	−2.23384			−0.0878214			−0.0439107	−	0.999035i	$-0.513982\pi$
$647$	−2.23384			−0.0878214			−0.0439107	+	0.999035i	$0.513982\pi$
$648$	−0.927650	−	0.105959i	−0.0364415	−	0.00416247i
$649$	−6.78008	+	1.19551i	−0.266141	+	0.0469279i
$650$	−47.9192	−	1.91266i	−1.87955	−	0.0750207i
$651$	3.34838	+	1.49984i	0.131233	+	0.0587835i
$652$	−46.0315	−	8.11659i	−1.80273	−	0.317870i
$653$	−5.35324	+	9.27209i	−0.209489	+	0.362845i	−0.951554	−	0.307483i	$-0.900513\pi$
$653$	−5.35324	+	9.27209i	−0.209489	+	0.362845i	0.742065	+	0.670328i	$0.233847\pi$
$654$	−2.29103	+	3.38015i	−0.0895865	+	0.132174i
$655$	36.3886	+	3.91635i	1.42182	+	0.153024i
$656$	−22.7911	+	8.29528i	−0.889842	+	0.323876i
$657$	0.389925	−	2.68658i	0.0152124	−	0.104813i
$658$	1.54925	−	2.68338i	0.0603961	−	0.104609i
$659$	7.87203	−	44.6445i	0.306651	−	1.73910i	−0.308980	−	0.951069i	$-0.599988\pi$
$659$	7.87203	−	44.6445i	0.306651	−	1.73910i	0.615631	−	0.788035i	$-0.288901\pi$
$660$	−4.75804	−	5.72538i	−0.185207	−	0.222860i
$661$	−23.1908	+	27.6377i	−0.902018	+	1.07498i	0.0948182	+	0.995495i	$0.469773\pi$
$661$	−23.1908	+	27.6377i	−0.902018	+	1.07498i	−0.996836	+	0.0794881i	$0.974671\pi$
$662$	11.6463	+	66.0494i	0.452646	+	2.56708i
$663$	2.16223	+	21.0278i	0.0839742	+	0.816653i
$664$		−	0.224598i		−	0.00871609i
$665$	−3.24889	−	11.0355i	−0.125987	−	0.427939i
$666$	−13.1697	−	10.3852i	−0.510317	−	0.402419i
$667$	−42.6056	−	15.5072i	−1.64969	−	0.600440i
$668$	32.7030	−	5.76643i	1.26532	−	0.223110i
$669$	6.57271	−	26.1110i	0.254116	−	1.00951i
$670$	29.0765	−	7.17262i	1.12332	−	0.277103i
$671$	0.637435	+	0.112397i	0.0246079	+	0.00433903i
$672$	16.4057	+	1.18434i	0.632862	+	0.0456869i
$673$	11.2821	+	19.5412i	0.434895	+	0.753260i	0.997287	−	0.0736108i	$-0.0234522\pi$
$673$	11.2821	+	19.5412i	0.434895	+	0.753260i	−0.562392	+	0.826871i	$0.690119\pi$
$674$	−12.1338	−	33.3372i	−0.467375	−	1.28410i
$675$	−18.4758	−	18.2660i	−0.711132	−	0.703059i
$676$	9.95664	+	17.2454i	0.382948	+	0.663285i
$677$	−20.7088	−	11.9562i	−0.795903	−	0.459515i	0.0461336	−	0.998935i	$-0.485310\pi$
$677$	−20.7088	−	11.9562i	−0.795903	−	0.459515i	−0.842037	+	0.539421i	$0.818643\pi$
$678$	−51.2209	+	14.5626i	−1.96713	+	0.559272i
$679$	7.16146	+	8.53470i	0.274832	+	0.327532i
$680$	−0.240302	−	0.543369i	−0.00921516	−	0.0208373i
$681$	−6.36936	−	8.80833i	−0.244074	−	0.337536i
$682$	−1.15762	+	3.18053i	−0.0443275	+	0.121789i
$683$			20.2600i			0.775228i	0.921822	+	0.387614i	$0.126701\pi$
$683$			20.2600i			0.775228i	−0.921822	+	0.387614i	$0.873299\pi$
$684$	11.6384	−	24.1714i	0.445007	−	0.924215i
$685$	19.6938	−	40.1241i	0.752463	−	1.53306i
$686$	−28.1441	−	10.2436i	−1.07455	−	0.391103i
$687$	−33.6576	+	24.3380i	−1.28412	+	0.928554i
$688$	−28.8280	+	34.3558i	−1.09906	+	1.30980i
$689$	−11.9860	−	14.2844i	−0.456630	−	0.544191i
$690$	48.1253	+	8.72148i	1.83210	+	0.332021i
$691$	−10.0552	+	17.4162i	−0.382519	+	0.662542i	−0.991422	−	0.130703i	$-0.958277\pi$
$691$	−10.0552	+	17.4162i	−0.382519	+	0.662542i	0.608903	+	0.793245i	$0.291610\pi$
$692$	3.55178	−	2.05062i	0.135019	−	0.0779530i
$693$	−1.03935	+	3.15044i	−0.0394818	+	0.119675i
$694$	−8.29746	−	22.7971i	−0.314967	−	0.865366i
$695$	−45.1944	+	3.04709i	−1.71432	+	0.115583i
$696$	−0.0935011	+	1.29519i	−0.00354415	+	0.0490942i
$697$	2.76992	−	15.7090i	0.104918	−	0.595020i
$698$	4.70277	+	5.60454i	0.178002	+	0.212135i
$699$	5.45698	−	21.6786i	0.206402	−	0.819959i
$700$	−8.95662	−	8.14581i	−0.338528	−	0.307883i
$701$	5.25763	−	14.4452i	0.198578	−	0.545588i	−0.799936	−	0.600085i	$-0.795133\pi$
$701$	5.25763	−	14.4452i	0.198578	−	0.545588i	0.998514	+	0.0544972i	$0.0173556\pi$
$702$	−10.6913	+	48.6785i	−0.403516	+	1.83725i
$703$	10.2053	−	6.51339i	0.384900	−	0.245657i
$704$			7.87658i			0.296860i
$705$	4.73846	+	1.75017i	0.178461	+	0.0659152i
$706$	−32.0736	+	5.65545i	−1.20711	+	0.212846i
$707$	13.3351	+	11.1895i	0.501518	+	0.420823i
$708$	−23.8294	−	10.6739i	−0.895565	−	0.401151i
$709$	7.13734	−	40.4779i	0.268049	−	1.52018i	−0.492163	−	0.870503i	$-0.663794\pi$
$709$	7.13734	−	40.4779i	0.268049	−	1.52018i	0.760212	−	0.649676i	$-0.225095\pi$
$710$	−25.3321	+	16.9950i	−0.950698	+	0.637811i
$711$	4.08175	−	28.1233i	0.153078	−	1.05470i
$712$	0.547869	+	1.50526i	0.0205323	+	0.0564119i
$713$	−3.85112	−	10.5809i	−0.144225	−	0.396256i
$714$	−5.91292	+	8.72382i	−0.221286	+	0.326481i
$715$	−8.29022	+	5.56180i	−0.310037	+	0.208000i
$716$	−3.45481	+	19.5932i	−0.129112	+	0.732233i
$717$	−12.5767	+	28.0772i	−0.469684	+	1.04856i
$718$	19.8958	+	16.6945i	0.742503	+	0.623034i
$719$	−24.9763	+	4.40399i	−0.931458	+	0.164241i	−0.618732	−	0.785602i	$-0.712353\pi$
$719$	−24.9763	+	4.40399i	−0.931458	+	0.164241i	−0.312726	+	0.949843i	$0.601242\pi$
$720$	2.54876	+	25.9989i	0.0949867	+	0.968921i
$721$		−	16.3827i		−	0.610122i
$722$	27.0874	+	26.9978i	1.00809	+	1.00475i
$723$	27.9567	−	13.5575i	1.03972	−	0.504210i
$724$	6.74608	−	18.5347i	0.250716	−	0.688837i
$725$	−24.3120	+	26.7319i	−0.902924	+	0.992798i
$726$	34.2219	+	8.61440i	1.27009	+	0.319710i
$727$	−16.2660	−	19.3850i	−0.603271	−	0.718950i	0.374827	−	0.927095i	$-0.377702\pi$
$727$	−16.2660	−	19.3850i	−0.603271	−	0.718950i	−0.978098	+	0.208144i	$0.933258\pi$
$728$	−0.101317	+	0.574597i	−0.00375506	+	0.0212960i
$729$	−22.0560	+	15.5735i	−0.816887	+	0.576797i
$730$	4.06364	−	0.273978i	0.150402	−	0.0101404i
$731$	−10.0882	−	27.7172i	−0.373127	−	1.02516i
$732$	1.76201	+	1.70924i	0.0651258	+	0.0631754i
$733$	−20.9608	+	12.1017i	−0.774206	+	0.446988i	−0.834373	−	0.551200i	$-0.814170\pi$
$733$	−20.9608	+	12.1017i	−0.774206	+	0.446988i	0.0601668	+	0.998188i	$0.480837\pi$
$734$	−11.6057	+	20.1017i	−0.428375	+	0.741967i
$735$	3.87234	−	21.3677i	0.142834	−	0.788158i
$736$	−32.4477	−	38.6696i	−1.19604	−	1.42538i
$737$	4.00723	−	4.77564i	0.147608	−	0.175913i
$738$	17.8055	−	33.1264i	0.655430	−	1.21940i
$739$	−15.8555	−	5.77093i	−0.583254	−	0.212287i	0.0335057	−	0.999439i	$-0.489333\pi$
$739$	−15.8555	−	5.77093i	−0.583254	−	0.212287i	−0.616760	+	0.787151i	$0.711555\pi$
$740$	5.61396	−	11.4379i	0.206373	−	0.420464i
$741$	−30.6478	−	18.8411i	−1.12587	−	0.692144i
$742$		−	9.29656i		−	0.341287i
$743$	13.4453	−	36.9406i	0.493259	−	1.35522i	−0.404422	−	0.914573i	$-0.632527\pi$
$743$	13.4453	−	36.9406i	0.493259	−	1.35522i	0.897681	−	0.440646i	$-0.145251\pi$
$744$	−0.261327	+	0.188967i	−0.00958072	+	0.00692788i
$745$	−2.69705	−	6.09854i	−0.0988121	−	0.223433i
$746$	15.6538	+	18.6555i	0.573127	+	0.683026i
$747$	−4.32413	−	4.84616i	−0.158212	−	0.177312i
$748$	−4.26341	−	2.46148i	−0.155886	−	0.0900006i
$749$	−0.910977	−	1.57786i	−0.0332864	−	0.0576537i
$750$	20.9762	−	32.8531i	0.765943	−	1.19963i
$751$	5.76788	+	15.8471i	0.210473	+	0.578270i	0.999341	−	0.0362927i	$-0.0115549\pi$
$751$	5.76788	+	15.8471i	0.210473	+	0.578270i	−0.788868	+	0.614562i	$0.789333\pi$
$752$	−2.53955	−	4.39863i	−0.0926079	−	0.160402i
$753$	−1.24570	+	17.2556i	−0.0453958	+	0.628830i
$754$	68.2626	+	12.0365i	2.48598	+	0.438345i
$755$	25.6211	−	6.32024i	0.932446	−	0.230017i
$756$	−9.96670	+	7.67894i	−0.362486	+	0.279280i
$757$	44.0120	−	7.76050i	1.59964	−	0.282060i	0.698509	−	0.715601i	$-0.253847\pi$
$757$	44.0120	−	7.76050i	1.59964	−	0.282060i	0.901134	+	0.433541i	$0.142736\pi$
$758$	−32.9507	−	11.9931i	−1.19682	−	0.435608i
$759$	9.16082	−	4.44251i	0.332517	−	0.161253i
$760$	0.982824	+	0.237686i	0.0356508	+	0.00862179i
$761$		−	48.4330i		−	1.75569i	−0.478941	−	0.877847i	$-0.658979\pi$
$761$		−	48.4330i		−	1.75569i	0.478941	−	0.877847i	$-0.341021\pi$
$762$	29.1598	−	2.99842i	1.05635	−	0.108621i
$763$	0.240051	+	1.36139i	0.00869041	+	0.0492858i
$764$	−20.6012	+	24.5516i	−0.745326	+	0.888244i
$765$	−15.6464	−	7.09783i	−0.565695	−	0.256622i
$766$	−6.29369	+	35.6933i	−0.227400	+	1.28965i
$767$	−17.5075	+	30.3239i	−0.632160	+	1.09493i
$768$	14.7164	−	21.7124i	0.531034	−	0.783477i
$769$	−6.40855	+	2.33252i	−0.231098	+	0.0841128i	−0.454974	−	0.890505i	$-0.650351\pi$
$769$	−6.40855	+	2.33252i	−0.231098	+	0.0841128i	0.223875	+	0.974618i	$0.428129\pi$
$770$	−4.94855	−	0.532591i	−0.178333	−	0.0191933i
$771$	21.6020	+	14.6416i	0.777976	+	0.527305i
$772$	1.21316	−	2.10126i	0.0436627	−	0.0756261i
$773$	16.3302	+	2.87946i	0.587357	+	0.103567i	0.459426	−	0.888216i	$-0.348055\pi$
$773$	16.3302	+	2.87946i	0.587357	+	0.103567i	0.127931	+	0.991783i	$0.459166\pi$
$774$	−2.11387	−	69.5108i	−0.0759813	−	2.49851i
$775$	−8.96654	−	0.357893i	−0.322088	−	0.0128559i
$776$	−0.964411	+	0.170052i	−0.0346203	+	0.00610450i
$777$	−5.64815	+	0.580784i	−0.202626	+	0.0208355i
$778$	−18.9746			−0.680272
$779$	18.3572	+	20.0001i	0.657715	+	0.716577i
$780$	−37.8613	−	0.179688i	−1.35565	−	0.00643386i
$781$	−2.17185	+	5.96710i	−0.0777148	+	0.213520i
$782$	31.8521	−	5.61639i	1.13903	−	0.200842i
$783$	22.9186	+	29.7466i	0.819042	+	1.06306i
$784$	−16.7266	+	14.0353i	−0.597378	+	0.501260i
$785$	−4.65242	+	6.37004i	−0.166052	+	0.227357i
$786$	56.9145	+	4.10871i	2.03007	+	0.146553i
$787$	−10.4134	−	18.0366i	−0.371199	−	0.642935i	0.618552	−	0.785744i	$-0.287720\pi$
$787$	−10.4134	−	18.0366i	−0.371199	−	0.642935i	−0.989750	+	0.142809i	$0.954386\pi$
$788$	−44.4379	+	16.1741i	−1.58303	+	0.576177i
$789$	4.71172	+	4.57062i	0.167742	+	0.162718i
$790$	42.5384	−	2.86802i	1.51345	−	0.102039i
$791$	−9.01376	+	15.6123i	−0.320493	+	0.555109i
$792$	−0.194137	−	0.217575i	−0.00689837	−	0.00773118i
$793$	2.52180	−	2.11604i	0.0895516	−	0.0751427i
$794$	22.2738	+	18.6899i	0.790467	+	0.663281i
$795$	14.9378	−	2.56090i	0.529790	−	0.0908259i
$796$	−5.03638	−	1.83309i	−0.178510	−	0.0649722i
$797$		−	14.4502i		−	0.511851i	−0.966697	−	0.255925i	$-0.917620\pi$
$797$		−	14.4502i		−	0.511851i	0.966697	−	0.255925i	$-0.0823801\pi$
$798$	−5.66697	−	17.0173i	−0.200609	−	0.602406i
$799$	3.34044			0.118176
$800$	−38.3227	+	12.2409i	−1.35491	+	0.432780i
$801$	40.8017	+	21.9310i	1.44166	+	0.774895i
$802$	−23.8760	+	28.4543i	−0.843091	+	1.00476i
$803$	0.649475	−	0.544974i	0.0229195	−	0.0192317i
$804$	22.7424	−	6.46586i	0.802061	−	0.228033i
$805$	13.7500	−	9.22469i	0.484623	−	0.325128i
$806$	8.60708	+	14.9079i	0.303171	+	0.525108i
$807$	−7.65545	−	7.42618i	−0.269485	−	0.261414i
$808$	−1.43782	+	0.523323i	−0.0505823	+	0.0184104i
$809$	25.7162	−	14.8473i	0.904135	−	0.522002i	0.0255954	−	0.999672i	$-0.491852\pi$
$809$	25.7162	−	14.8473i	0.904135	−	0.522002i	0.878539	+	0.477670i	$0.158519\pi$
$810$	−29.7893	−	27.4494i	−1.04669	−	0.964475i
$811$	−23.6787	−	4.17520i	−0.831473	−	0.146611i	−0.258320	−	0.966059i	$-0.583169\pi$
$811$	−23.6787	−	4.17520i	−0.831473	−	0.146611i	−0.573153	+	0.819448i	$0.694280\pi$
$812$	11.2480	+	13.4048i	0.394726	+	0.470417i
$813$	−10.3791	+	41.2324i	−0.364011	+	1.44609i
$814$	−0.909564	−	5.15839i	−0.0318802	−	0.180802i
$815$	−35.2984	−	36.7355i	−1.23645	−	1.28679i
$816$	7.53805	+	15.5441i	0.263885	+	0.544151i
$817$	47.8885	+	15.0556i	1.67541	+	0.526728i
$818$	67.3579			2.35511
$819$	8.87645	+	14.3487i	0.310168	+	0.501386i
$820$	27.4441	+	7.94357i	0.958389	+	0.277401i
$821$	−23.9573	+	28.5512i	−0.836117	+	0.996445i	0.163834	+	0.986488i	$0.447614\pi$
$821$	−23.9573	+	28.5512i	−0.836117	+	0.996445i	−0.999950	+	0.00995692i	$0.996831\pi$
$822$	28.4882	−	63.5996i	0.993640	−	2.21829i
$823$	16.2263	+	2.86113i	0.565613	+	0.0997328i	0.449140	−	0.893461i	$-0.351730\pi$
$823$	16.2263	+	2.86113i	0.565613	+	0.0997328i	0.116472	+	0.993194i	$0.462841\pi$
$824$	1.24707	+	0.719997i	0.0434438	+	0.0250823i
$825$	−0.507393	−	8.09810i	−0.0176652	−	0.281940i
$826$	−16.4042	+	5.97066i	−0.570777	+	0.207746i
$827$	5.80073	+	15.9374i	0.201711	+	0.554197i	0.998764	−	0.0497135i	$-0.0158308\pi$
$827$	5.80073	+	15.9374i	0.201711	+	0.554197i	−0.797052	+	0.603910i	$0.793609\pi$
$828$	38.2128	+	5.54613i	1.32799	+	0.192741i
$829$	35.2557	+	20.3549i	1.22448	+	0.706955i	0.965870	−	0.259026i	$-0.0834016\pi$
$829$	35.2557	+	20.3549i	1.22448	+	0.706955i	0.258612	+	0.965981i	$0.416735\pi$
$830$	5.74711	−	7.86889i	0.199485	−	0.273133i
$831$	−14.2562	+	31.8268i	−0.494542	+	1.10406i
$832$	30.6876	+	25.7500i	1.06390	+	0.892720i
$833$	−2.49368	−	14.1424i	−0.0864010	−	0.490004i
$834$	−70.2541	+	7.22403i	−2.43270	+	0.250148i
$835$	32.4917	+	15.9476i	1.12442	+	0.551891i
$836$	7.73796	−	3.21268i	0.267623	−	0.111113i
$837$	−2.00053	+	9.10862i	−0.0691484	+	0.314840i
$838$	62.4333	+	22.7239i	2.15672	+	0.784983i
$839$	−0.651055	−	3.69232i	−0.0224769	−	0.127473i	0.971505	−	0.237021i	$-0.0761709\pi$
$839$	−0.651055	−	3.69232i	−0.0224769	−	0.127473i	−0.993982	+	0.109548i	$0.965060\pi$
$840$	−0.361825	−	0.306545i	−0.0124842	−	0.0105768i
$841$	17.7927	−	14.9298i	0.613541	−	0.514822i
$842$	−4.22091	+	23.9379i	−0.145462	+	0.824956i
$843$	−1.86783	−	0.134840i	−0.0643315	−	0.00464414i
$844$	−6.66717	+	3.84929i	−0.229493	+	0.132498i
$845$	−2.32254	+	21.5798i	−0.0798977	+	0.742367i
$846$	7.47926	+	2.46747i	0.257142	+	0.0848333i
$847$	10.3463	−	5.97344i	0.355503	−	0.205250i
$848$	−13.1974	−	7.61951i	−0.453200	−	0.261655i
$849$	−1.65848	−	5.83335i	−0.0569187	−	0.200200i
$850$	5.48488	−	25.1861i	0.188130	−	0.863877i
$851$	13.3487	+	11.2009i	0.457586	+	0.383960i
$852$	−19.5156	+	14.1118i	−0.668593	+	0.483464i
$853$	5.25017	−	14.4247i	0.179763	−	0.493893i	−0.816783	−	0.576945i	$-0.804245\pi$
$853$	5.25017	−	14.4247i	0.179763	−	0.493893i	0.996545	+	0.0830519i	$0.0264667\pi$
$854$	1.64124			0.0561620
$855$	25.7825	−	13.7935i	0.881745	−	0.471727i
$856$	0.160145			0.00547364
$857$	−3.85997	+	10.6052i	−0.131854	+	0.362266i	−0.987997	−	0.154473i	$-0.950632\pi$
$857$	−3.85997	+	10.6052i	−0.131854	+	0.362266i	0.856143	+	0.516739i	$0.172854\pi$
$858$	−12.6129	+	9.12049i	−0.430598	+	0.311368i
$859$	−21.5030	−	18.0432i	−0.733673	−	0.615625i	0.197457	−	0.980311i	$-0.436732\pi$
$859$	−21.5030	−	18.0432i	−0.733673	−	0.615625i	−0.931130	+	0.364687i	$0.881176\pi$
$860$	51.2931	−	12.6531i	1.74908	−	0.431466i
$861$	−3.48182	−	12.2466i	−0.118660	−	0.417363i
$862$	37.4275	+	21.6088i	1.27479	+	0.735998i
$863$	11.7588	−	6.78897i	0.400275	−	0.231099i	−0.286327	−	0.958132i	$-0.592434\pi$
$863$	11.7588	−	6.78897i	0.400275	−	0.231099i	0.686603	+	0.727033i	$0.259101\pi$
$864$	5.53868	+	41.4399i	0.188430	+	1.40981i
$865$	4.44447	+	0.478339i	0.151116	+	0.0162640i
$866$	42.5941	−	24.5917i	1.44741	−	0.835660i
$867$	18.0362	+	1.30205i	0.612540	+	0.0442198i
$868$	−0.754625	+	4.27969i	−0.0256136	+	0.145262i
$869$	6.79874	−	5.70482i	0.230631	−	0.193523i
$870$	−36.4178	+	42.9851i	−1.23468	+	1.45733i
$871$	−5.50578	−	31.2249i	−0.186556	−	1.05801i
$872$	−0.114181	−	0.0415586i	−0.00386666	−	0.00140735i
$873$	−17.5352	+	22.2368i	−0.593476	+	0.752600i
$874$	−25.3767	+	48.8469i	−0.858379	+	1.65227i
$875$	−2.64694	−	12.9276i	−0.0894829	−	0.437032i
$876$	3.19861	−	0.328904i	0.108071	−	0.0111127i
$877$	2.61208	+	14.8138i	0.0882036	+	0.500227i	0.996619	+	0.0821591i	$0.0261816\pi$
$877$	2.61208	+	14.8138i	0.0882036	+	0.500227i	−0.908416	+	0.418068i	$0.862707\pi$
$878$	−5.11637	−	4.29315i	−0.172669	−	0.144887i
$879$	−5.76445	+	12.8691i	−0.194430	+	0.434063i
$880$	−4.81192	+	6.58844i	−0.162210	+	0.222096i
$881$	12.7886	+	7.38350i	0.430859	+	0.248756i	0.699712	−	0.714425i	$-0.253312\pi$
$881$	12.7886	+	7.38350i	0.430859	+	0.248756i	−0.268854	+	0.963181i	$0.586645\pi$
$882$	4.86311	−	33.5068i	0.163749	−	1.12823i
$883$	−12.5935	−	34.6005i	−0.423807	−	1.16440i	−0.949512	−	0.313732i	$-0.898421\pi$
$883$	−12.5935	−	34.6005i	−0.423807	−	1.16440i	0.525705	−	0.850667i	$-0.323802\pi$
$884$	−23.5279	+	8.56346i	−0.791330	+	0.288020i
$885$	−14.1126	−	24.7138i	−0.474389	−	0.830746i
$886$	−21.8230	−	12.5995i	−0.733158	−	0.423289i
$887$	−11.6767	−	2.05891i	−0.392064	−	0.0691314i	−0.0258587	−	0.999666i	$-0.508232\pi$
$887$	−11.6767	−	2.05891i	−0.392064	−	0.0691314i	−0.366205	+	0.930534i	$0.619343\pi$
$888$	0.204019	−	0.455470i	0.00684643	−	0.0152846i
$889$	6.37890	−	7.60208i	0.213942	−	0.254966i
$890$	−19.3224	+	66.7564i	−0.647687	+	2.23768i
$891$	−8.37782	−	0.956942i	−0.280668	−	0.0320588i
$892$	31.8921			1.06783
$893$	−3.45713	+	4.51316i	−0.115689	+	0.151027i
$894$	−4.53661	−	9.35485i	−0.151727	−	0.312873i
$895$	−15.6364	+	15.0247i	−0.522667	+	0.502221i
$896$	0.170041	+	0.964349i	0.00568066	+	0.0322166i
$897$	12.6401	−	50.2145i	0.422040	−	1.67661i
$898$	21.9017	+	26.1015i	0.730870	+	0.871017i
$899$	12.7732	+	2.25225i	0.426009	+	0.0751168i
$900$	15.6388	−	26.5030i	0.521294	−	0.883435i
$901$	8.67970	−	5.01123i	0.289163	−	0.166948i
$902$	11.0371	−	4.01716i	0.367494	−	0.133757i
$903$	−16.8986	−	16.3925i	−0.562349	−	0.545507i
$904$	−0.792287	−	1.37228i	−0.0263511	−	0.0456414i
$905$	17.8529	−	11.9772i	0.593449	−	0.398137i
$906$	39.5759	−	11.2518i	1.31482	−	0.373816i
$907$	16.3089	−	13.6848i	0.541529	−	0.454397i	−0.330531	−	0.943795i	$-0.607228\pi$
$907$	16.3089	−	13.6848i	0.541529	−	0.454397i	0.872060	+	0.489398i	$0.162783\pi$
$908$	8.27587	−	9.86280i	0.274644	−	0.327308i
$909$	−20.9485	+	38.9737i	−0.694817	+	1.29268i
$910$	−18.2527	+	17.5387i	−0.605072	+	0.581403i
$911$	40.7528			1.35020			0.675100	−	0.737726i	$-0.264100\pi$
$911$	40.7528			1.35020			0.675100	+	0.737726i	$0.264100\pi$
$912$	−28.8024	−	5.90265i	−0.953744	−	0.195456i
$913$		−	2.02840i		−	0.0671301i
$914$	−33.0111	−	12.0150i	−1.09191	−	0.397423i
$915$	0.452108	+	2.63716i	0.0149462	+	0.0871818i
$916$	−37.6869	−	31.6230i	−1.24521	−	1.04485i
$917$	14.7984	−	12.4173i	0.488687	−	0.410057i
$918$	−24.7687	−	10.2024i	−0.817489	−	0.336731i
$919$	20.0993	−	34.8131i	0.663016	−	1.14838i	−0.316804	−	0.948491i	$-0.602610\pi$
$919$	20.0993	−	34.8131i	0.663016	−	1.14838i	0.979819	−	0.199886i	$-0.0640570\pi$
$920$	0.0979020	+	1.45208i	0.00322773	+	0.0478737i
$921$	20.7902	+	20.1676i	0.685060	+	0.664543i
$922$	−23.0434	+	8.38712i	−0.758894	+	0.276215i
$923$	16.1480	+	27.9692i	0.531518	+	0.920617i
$924$	−3.91918	−	0.282929i	−0.128932	−	0.00930769i
$925$	12.2942	−	6.45849i	0.404230	−	0.212354i
$926$	3.22895	−	2.70941i	0.106110	−	0.0890368i
$927$	40.7700	−	8.47414i	1.33906	−	0.278327i
$928$	57.2637	−	10.0971i	1.87977	−	0.331455i
$929$	3.39916	−	9.33912i	0.111523	−	0.306406i	−0.871358	−	0.490647i	$-0.836760\pi$
$929$	3.39916	−	9.33912i	0.111523	−	0.306406i	0.982881	+	0.184241i	$0.0589826\pi$
$930$	−13.9911	−	0.0664010i	−0.458786	−	0.00217737i
$931$	21.6881	+	11.2673i	0.710798	+	0.369270i
$932$	26.4784			0.867328
$933$	11.7706	−	1.21034i	0.385352	−	0.0396247i
$934$	58.8335	−	10.3739i	1.92509	−	0.339445i
$935$	−2.17022	−	4.90729i	−0.0709738	−	0.160486i
$936$	−1.48235	+	0.0450793i	−0.0484523	+	0.00147346i
$937$	−6.30574	−	1.11187i	−0.206000	−	0.0363233i	0.0696960	−	0.997568i	$-0.477797\pi$
$937$	−6.30574	−	1.11187i	−0.206000	−	0.0363233i	−0.275696	+	0.961245i	$0.588908\pi$
$938$	7.90377	−	13.6897i	0.258067	−	0.446986i
$939$	−36.0579	−	24.4397i	−1.17671	−	0.797560i
$940$	−0.640238	+	5.94875i	−0.0208823	+	0.194027i
$941$	−17.3315	+	6.30814i	−0.564989	+	0.205639i	−0.608694	−	0.793405i	$-0.708306\pi$
$941$	−17.3315	+	6.30814i	−0.564989	+	0.205639i	0.0437044	+	0.999045i	$0.486084\pi$
$942$	−6.90030	+	10.1806i	−0.224824	+	0.331701i
$943$	−19.5370	+	33.8391i	−0.636213	+	1.10195i
$944$	−4.96907	+	28.1810i	−0.161730	+	0.917214i
$945$	−13.7090	+	0.351785i	−0.445952	+	0.0114436i
$946$	13.9605	−	16.6375i	0.453896	−	0.540933i
$947$	0.798040	+	4.52591i	0.0259328	+	0.147072i	0.995025	−	0.0996273i	$-0.0317650\pi$
$947$	0.798040	+	4.52591i	0.0259328	+	0.147072i	−0.969092	+	0.246700i	$0.920654\pi$
$948$	33.4833	−	3.44299i	1.08749	−	0.111823i
$949$		−	4.31201i		−	0.139974i
$950$	28.3516	+	33.4764i	0.919848	+	1.08612i
$951$	−11.6825	+	5.66539i	−0.378831	+	0.183713i
$952$	−0.294690	−	0.107258i	−0.00955096	−	0.00347626i
$953$	−5.76240	+	1.01607i	−0.186663	+	0.0329136i	−0.266198	−	0.963918i	$-0.585767\pi$
$953$	−5.76240	+	1.01607i	−0.186663	+	0.0329136i	0.0795353	+	0.996832i	$0.474656\pi$
$954$	23.1355	−	4.80876i	0.749039	−	0.155689i
$955$	−33.9159	+	8.36641i	−1.09749	+	0.270731i
$956$	−35.8866	−	6.32777i	−1.16065	−	0.204655i
$957$	−0.844430	+	11.6972i	−0.0272965	+	0.378116i
$958$	−36.3531	−	62.9654i	−1.17451	−	2.03432i
$959$	−8.06905	−	22.1695i	−0.260563	−	0.715891i
$960$	−30.6486	+	10.9907i	−0.989179	+	0.354724i
$961$	−13.8895	−	24.0573i	−0.448047	−	0.776040i
$962$	−23.0709	−	13.3200i	−0.743837	−	0.429454i
$963$	3.45546	−	3.08323i	0.111351	−	0.0993558i
$964$	23.6558	+	28.1919i	0.761902	+	0.907999i
$965$	2.41861	−	1.06962i	0.0778577	−	0.0344321i
$966$	20.9195	−	15.1271i	0.673075	−	0.486705i
$967$	−11.0456	+	30.3474i	−0.355201	+	0.975907i	0.625471	+	0.780248i	$0.284907\pi$
$967$	−11.0456	+	30.3474i	−0.355201	+	0.975907i	−0.980672	+	0.195659i	$0.937315\pi$
$968$			1.05010i			0.0337515i
$969$	12.8334	−	14.4640i	0.412269	−	0.464650i
$970$	−38.1399	−	18.7199i	−1.22460	−	0.601061i
$971$	−19.3779	−	7.05297i	−0.621866	−	0.226341i	0.0118212	−	0.999930i	$-0.496237\pi$
$971$	−19.3779	−	7.05297i	−0.621866	−	0.226341i	−0.633687	+	0.773589i	$0.718459\pi$
$972$	−24.2653	−	20.8312i	−0.778309	−	0.668161i
$973$	−15.3685	+	18.3155i	−0.492693	+	0.587169i
$974$	−27.1812	−	32.3933i	−0.870942	−	1.03795i
$975$	−33.2095	−	24.4973i	−1.06355	−	0.784543i
$976$	1.34517	−	2.32990i	0.0430577	−	0.0745782i
$977$	−15.6822	+	9.05410i	−0.501717	+	0.289666i	−0.729422	−	0.684064i	$-0.760211\pi$
$977$	−15.6822	+	9.05410i	−0.501717	+	0.289666i	0.227705	+	0.973730i	$0.426878\pi$
$978$	−57.0140	−	55.3065i	−1.82311	−	1.76851i
$979$	4.94793	+	13.5943i	0.158136	+	0.434476i
$980$	25.6631	−	1.73025i	0.819776	−	0.0552708i
$981$	−3.26381	+	1.30159i	−0.104205	+	0.0415566i
$982$	−9.05747	+	51.3674i	−0.289035	+	1.63920i
$983$	−14.7370	−	17.5629i	−0.470038	−	0.560170i	0.477986	−	0.878367i	$-0.341367\pi$
$983$	−14.7370	−	17.5629i	−0.470038	−	0.560170i	−0.948024	+	0.318198i	$0.896922\pi$
$984$	1.08525	+	0.273182i	0.0345965	+	0.00870871i
$985$	−49.5111	−	14.3308i	−1.57755	−	0.456616i
$986$	−12.7424	+	35.0094i	−0.405800	+	1.11493i
$987$	2.39905	−	1.16341i	0.0763625	−	0.0370318i
$988$	12.7800	−	40.6504i	0.406586	−	1.29326i
$989$			72.2530i			2.29751i
$990$	−1.23429	−	12.5905i	−0.0392283	−	0.400152i
$991$	−1.43205	+	0.252509i	−0.0454906	+	0.00802122i	−0.196347	−	0.980534i	$-0.562908\pi$
$991$	−1.43205	+	0.252509i	−0.0454906	+	0.00802122i	0.150857	+	0.988556i	$0.451797\pi$
$992$	11.0621	+	9.28217i	0.351221	+	0.294709i
$993$	−23.5924	+	52.6698i	−0.748682	+	1.67142i
$994$	−2.79598	+	15.8568i	−0.0886832	+	0.502948i
$995$	−3.25454	−	4.85110i	−0.103176	−	0.153790i
$996$	4.31617	−	6.36800i	0.136763	−	0.201778i
$997$	19.0657	+	52.3826i	0.603817	+	1.65897i	0.743467	+	0.668773i	$0.233180\pi$
$997$	19.0657	+	52.3826i	0.603817	+	1.65897i	−0.139650	+	0.990201i	$0.544598\pi$
$998$	−28.0851	−	77.1632i	−0.889019	−	2.44256i
$999$	−4.36692	−	13.7556i	−0.138163	−	0.435209i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	285.2.bf.c.224.6	yes	192
3.2	odd	2	inner	285.2.bf.c.224.28	yes	192
5.4	even	2	inner	285.2.bf.c.224.27	yes	192
15.14	odd	2	inner	285.2.bf.c.224.5	yes	192
19.14	odd	18	inner	285.2.bf.c.14.5	✓	192
57.14	even	18	inner	285.2.bf.c.14.27	yes	192
95.14	odd	18	inner	285.2.bf.c.14.28	yes	192
285.14	even	18	inner	285.2.bf.c.14.6	yes	192

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
285.2.bf.c.14.5	✓	192	19.14	odd	18	inner
285.2.bf.c.14.6	yes	192	285.14	even	18	inner
285.2.bf.c.14.27	yes	192	57.14	even	18	inner
285.2.bf.c.14.28	yes	192	95.14	odd	18	inner
285.2.bf.c.224.5	yes	192	15.14	odd	2	inner
285.2.bf.c.224.6	yes	192	1.1	even	1	trivial
285.2.bf.c.224.27	yes	192	5.4	even	2	inner
285.2.bf.c.224.28	yes	192	3.2	odd	2	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:	\( N \)	\(=\)	\( 285 = 3 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	285.bf (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.688433 + 1.89145i) q^{2} +(-1.40355 + 1.01491i) q^{3} +(-1.57157 - 1.31870i) q^{4} +(-0.535543 - 2.17099i) q^{5} +(-0.953416 - 3.35345i) q^{6} +(-1.02214 - 0.590134i) q^{7} +(0.0898436 - 0.0518712i) q^{8} +(0.939896 - 2.84896i) q^{9} +O(q^{10})\)	\(q+(-0.688433 + 1.89145i) q^{2} +(-1.40355 + 1.01491i) q^{3} +(-1.57157 - 1.31870i) q^{4} +(-0.535543 - 2.17099i) q^{5} +(-0.953416 - 3.35345i) q^{6} +(-1.02214 - 0.590134i) q^{7} +(0.0898436 - 0.0518712i) q^{8} +(0.939896 - 2.84896i) q^{9} +(4.47501 + 0.481626i) q^{10} +(0.811398 - 0.468461i) q^{11} +(3.54415 + 0.255855i) q^{12} +(0.827457 - 4.69274i) q^{13} +(1.81989 - 1.52707i) q^{14} +(2.95503 + 2.50356i) q^{15} +(-0.676232 - 3.83510i) q^{16} +(2.40674 + 0.875980i) q^{17} +(4.74163 + 3.73909i) q^{18} +(-3.67432 + 2.34508i) q^{19} +(-2.02125 + 4.11809i) q^{20} +(2.03356 - 0.209105i) q^{21} +(0.327479 + 1.85723i) q^{22} +(-4.80605 - 4.03275i) q^{23} +(-0.0734550 + 0.163987i) q^{24} +(-4.42639 + 2.32531i) q^{25} +(8.30646 + 4.79574i) q^{26} +(1.57227 + 4.95257i) q^{27} +(0.828156 + 2.27534i) q^{28} +(6.79097 - 2.47171i) q^{29} +(-6.76971 + 3.86577i) q^{30} +(1.55429 + 0.897368i) q^{31} +(7.92379 + 1.39718i) q^{32} +(-0.663389 + 1.48101i) q^{33} +(-3.31375 + 3.94918i) q^{34} +(-0.733773 + 2.53510i) q^{35} +(-5.23406 + 3.23790i) q^{36} -2.77747 q^{37} +(-1.90609 - 8.56423i) q^{38} +(3.60136 + 7.42629i) q^{39} +(-0.160727 - 0.167270i) q^{40} +(-1.08149 - 6.13346i) q^{41} +(-1.00446 + 3.99034i) q^{42} +(-7.40268 - 8.82217i) q^{43} +(-1.89293 - 0.333775i) q^{44} +(-6.68842 - 0.514762i) q^{45} +(10.9364 - 6.31414i) q^{46} +(1.22560 - 0.446080i) q^{47} +(4.84142 + 4.69643i) q^{48} +(-2.80348 - 4.85578i) q^{49} +(-1.35095 - 9.97314i) q^{50} +(-4.26702 + 1.21315i) q^{51} +(-7.48875 + 6.28380i) q^{52} +(2.51535 - 2.99768i) q^{53} +(-10.4500 - 0.435645i) q^{54} +(-1.45156 - 1.51066i) q^{55} -0.122444 q^{56} +(2.77703 - 7.02055i) q^{57} +14.5464i q^{58} +(-6.90503 - 2.51323i) q^{59} +(-1.34258 - 7.83133i) q^{60} +(0.529218 + 0.444067i) q^{61} +(-2.76735 + 2.32209i) q^{62} +(-2.64198 + 2.35738i) q^{63} +(-4.20344 + 7.28056i) q^{64} +(-10.6310 + 0.716763i) q^{65} +(-2.34456 - 2.27434i) q^{66} +(6.25259 - 2.27576i) q^{67} +(-2.62720 - 4.55044i) q^{68} +(10.8384 + 0.782435i) q^{69} +(-4.28987 - 3.13315i) q^{70} +(-5.19192 + 4.35654i) q^{71} +(-0.0633356 - 0.304715i) q^{72} +(0.891161 - 0.157136i) q^{73} +(1.91210 - 5.25346i) q^{74} +(3.85265 - 7.75610i) q^{75} +(8.86692 + 1.15988i) q^{76} -1.10582 q^{77} +(-16.5258 + 1.69930i) q^{78} +(9.32873 - 1.64491i) q^{79} +(-7.96381 + 3.52195i) q^{80} +(-7.23319 - 5.35546i) q^{81} +(12.3457 + 2.17688i) q^{82} +(1.08248 - 1.87491i) q^{83} +(-3.47163 - 2.35304i) q^{84} +(0.612834 - 5.69412i) q^{85} +(21.7830 - 7.92836i) q^{86} +(-7.02288 + 10.3614i) q^{87} +(0.0485993 - 0.0841764i) q^{88} +(-2.68126 + 15.2062i) q^{89} +(5.57818 - 12.2965i) q^{90} +(-3.61512 + 4.30833i) q^{91} +(2.23504 + 12.6755i) q^{92} +(-3.09227 + 0.317969i) q^{93} +2.62526i q^{94} +(7.05889 + 6.72101i) q^{95} +(-12.5394 + 6.08097i) q^{96} +(-8.87033 - 3.22854i) q^{97} +(11.1145 - 1.95979i) q^{98} +(-0.571998 - 2.75195i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 192 q - 12 q^{4} - 30 q^{6} - 12 q^{9}+O(q^{10}) \) 192 * q - 12 * q^4 - 30 * q^6 - 12 * q^9	\( 192 q - 12 q^{4} - 30 q^{6} - 12 q^{9} + 18 q^{10} + 15 q^{15} - 36 q^{16} - 48 q^{19} - 30 q^{21} - 156 q^{24} - 12 q^{25} - 24 q^{30} - 36 q^{31} + 24 q^{34} - 6 q^{36} - 6 q^{40} - 30 q^{45} + 36 q^{46} + 60 q^{49} + 24 q^{51} - 6 q^{54} - 90 q^{55} + 90 q^{60} + 12 q^{61} - 60 q^{64} + 108 q^{66} + 90 q^{69} - 18 q^{70} - 132 q^{76} - 120 q^{79} + 36 q^{81} + 198 q^{84} - 66 q^{85} - 114 q^{90} - 72 q^{91} + 144 q^{96} + 78 q^{99}+O(q^{100}) \) 192 * q - 12 * q^4 - 30 * q^6 - 12 * q^9 + 18 * q^10 + 15 * q^15 - 36 * q^16 - 48 * q^19 - 30 * q^21 - 156 * q^24 - 12 * q^25 - 24 * q^30 - 36 * q^31 + 24 * q^34 - 6 * q^36 - 6 * q^40 - 30 * q^45 + 36 * q^46 + 60 * q^49 + 24 * q^51 - 6 * q^54 - 90 * q^55 + 90 * q^60 + 12 * q^61 - 60 * q^64 + 108 * q^66 + 90 * q^69 - 18 * q^70 - 132 * q^76 - 120 * q^79 + 36 * q^81 + 198 * q^84 - 66 * q^85 - 114 * q^90 - 72 * q^91 + 144 * q^96 + 78 * q^99

Introduction

L-functions

Modular forms

Varieties

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Database

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