LMFDB - Embedded newform 495.2.bc.d.23.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [495,2,Mod(23,495)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(495, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([10, 9, 0]))

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

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

chi := DirichletCharacter("495.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 495 = 3^{2} \cdot 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	495.bc (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:	$3.95259490005$
Analytic rank:	$0$
Dimension:	$116$
Relative dimension:	$29$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			23.20
Character	$\chi$	$=$	495.23
Dual form			495.2.bc.d.452.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.260420 - 0.971901i) q^{2} +(1.09089 + 1.34535i) q^{3} +(0.855277 + 0.493795i) q^{4} +(-1.65525 - 1.50337i) q^{5} +(1.59163 - 0.709883i) q^{6} +(0.704826 + 0.188858i) q^{7} +(2.12561 - 2.12561i) q^{8} +(-0.619915 + 2.93525i) q^{9} +O(q^{10})$	\(q+(0.260420 - 0.971901i) q^{2} +(1.09089 + 1.34535i) q^{3} +(0.855277 + 0.493795i) q^{4} +(-1.65525 - 1.50337i) q^{5} +(1.59163 - 0.709883i) q^{6} +(0.704826 + 0.188858i) q^{7} +(2.12561 - 2.12561i) q^{8} +(-0.619915 + 2.93525i) q^{9} +(-1.89219 + 1.21723i) q^{10} +(0.866025 - 0.500000i) q^{11} +(0.268689 + 1.68932i) q^{12} +(4.50100 - 1.20604i) q^{13} +(0.367102 - 0.635839i) q^{14} +(0.216859 - 3.86691i) q^{15} +(-0.524745 - 0.908885i) q^{16} +(0.213599 + 0.213599i) q^{17} +(2.69134 + 1.36690i) q^{18} +2.46760i q^{19} +(-0.673343 - 2.10316i) q^{20} +(0.514809 + 1.15426i) q^{21} +(-0.260420 - 0.971901i) q^{22} +(-0.0257736 - 0.0961883i) q^{23} +(5.17850 + 0.540875i) q^{24} +(0.479731 + 4.97693i) q^{25} -4.68861i q^{26} +(-4.62519 + 2.36804i) q^{27} +(0.509565 + 0.509565i) q^{28} +(-1.87331 - 3.24467i) q^{29} +(-3.70178 - 1.21779i) q^{30} +(1.41409 - 2.44928i) q^{31} +(4.78728 - 1.28275i) q^{32} +(1.61741 + 0.619659i) q^{33} +(0.263222 - 0.151972i) q^{34} +(-0.882742 - 1.37222i) q^{35} +(-1.97961 + 2.20434i) q^{36} +(-0.548005 + 0.548005i) q^{37} +(2.39826 + 0.642613i) q^{38} +(6.53265 + 4.73975i) q^{39} +(-6.71402 + 0.322837i) q^{40} +(-1.82213 - 1.05201i) q^{41} +(1.25589 - 0.199752i) q^{42} +(-1.97692 + 7.37798i) q^{43} +0.987589 q^{44} +(5.43890 - 3.92662i) q^{45} -0.100198 q^{46} +(-1.25562 + 4.68603i) q^{47} +(0.650326 - 1.69746i) q^{48} +(-5.60107 - 3.23378i) q^{49} +(4.96202 + 0.829843i) q^{50} +(-0.0543515 + 0.520377i) q^{51} +(4.44514 + 1.19107i) q^{52} +(-5.68463 + 5.68463i) q^{53} +(1.09701 + 5.11191i) q^{54} +(-2.18518 - 0.474334i) q^{55} +(1.89963 - 1.09675i) q^{56} +(-3.31978 + 2.69188i) q^{57} +(-3.64135 + 0.975696i) q^{58} +(2.72808 - 4.72518i) q^{59} +(2.09493 - 3.20019i) q^{60} +(-0.748199 - 1.29592i) q^{61} +(-2.01220 - 2.01220i) q^{62} +(-0.991277 + 1.95177i) q^{63} -7.08580i q^{64} +(-9.26343 - 4.77039i) q^{65} +(1.02345 - 1.41059i) q^{66} +(-3.55220 - 13.2570i) q^{67} +(0.0772123 + 0.288160i) q^{68} +(0.101290 - 0.139605i) q^{69} +(-1.56355 + 0.500584i) q^{70} -13.6547i q^{71} +(4.92151 + 7.55691i) q^{72} +(-1.56220 - 1.56220i) q^{73} +(0.389895 + 0.675318i) q^{74} +(-6.17237 + 6.07469i) q^{75} +(-1.21849 + 2.11048i) q^{76} +(0.704826 - 0.188858i) q^{77} +(6.30780 - 5.11476i) q^{78} +(-5.77842 + 3.33617i) q^{79} +(-0.497808 + 2.29332i) q^{80} +(-8.23141 - 3.63921i) q^{81} +(-1.49697 + 1.49697i) q^{82} +(-6.43762 - 1.72496i) q^{83} +(-0.129662 + 1.24142i) q^{84} +(-0.0324413 - 0.674679i) q^{85} +(6.65583 + 3.84275i) q^{86} +(2.32163 - 6.05983i) q^{87} +(0.778028 - 2.90364i) q^{88} -15.8146 q^{89} +(-2.39989 - 6.30865i) q^{90} +3.40019 q^{91} +(0.0254537 - 0.0949945i) q^{92} +(4.83774 - 0.769451i) q^{93} +(4.22737 + 2.44067i) q^{94} +(3.70973 - 4.08451i) q^{95} +(6.94814 + 5.04122i) q^{96} +(-9.74242 - 2.61047i) q^{97} +(-4.60154 + 4.60154i) q^{98} +(0.930764 + 2.85196i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 116 q - 2 q^{2} + 6 q^{4} - 2 q^{5} - 2 q^{6} - 10 q^{7} + 2 q^{8} + 16 q^{9}+O(q^{10}) $ 116 * q - 2 * q^2 + 6 * q^4 - 2 * q^5 - 2 * q^6 - 10 * q^7 + 2 * q^8 + 16 * q^9	\( 116 q - 2 q^{2} + 6 q^{4} - 2 q^{5} - 2 q^{6} - 10 q^{7} + 2 q^{8} + 16 q^{9} + 6 q^{10} - 8 q^{12} + 12 q^{13} - 10 q^{14} + 20 q^{15} + 62 q^{16} - 8 q^{17} - 54 q^{18} + 6 q^{20} - 10 q^{21} + 2 q^{22} - 14 q^{23} - 62 q^{24} - 12 q^{25} + 30 q^{27} + 18 q^{28} - 2 q^{29} - 18 q^{30} - 2 q^{31} - 48 q^{32} + 4 q^{33} - 24 q^{34} + 2 q^{35} + 24 q^{36} - 14 q^{37} - 6 q^{38} + 4 q^{39} + 98 q^{40} + 6 q^{41} - 44 q^{42} + 26 q^{43} - 120 q^{44} - 18 q^{45} - 44 q^{46} - 2 q^{47} - 20 q^{48} - 18 q^{49} - 20 q^{50} - 8 q^{51} + 102 q^{52} - 44 q^{53} + 28 q^{54} + 2 q^{55} + 42 q^{56} - 48 q^{57} - 16 q^{58} + 22 q^{59} - 8 q^{60} - 10 q^{61} - 16 q^{62} - 26 q^{63} - 108 q^{65} + 6 q^{66} - 36 q^{67} - 72 q^{68} - 76 q^{69} - 134 q^{70} + 30 q^{72} + 12 q^{73} - 8 q^{74} + 20 q^{75} - 6 q^{76} - 10 q^{77} + 210 q^{78} - 6 q^{79} + 4 q^{80} + 44 q^{81} - 50 q^{82} + 24 q^{83} + 222 q^{84} + 54 q^{85} + 90 q^{86} - 32 q^{87} - 4 q^{88} + 8 q^{89} - 74 q^{90} + 72 q^{91} + 18 q^{92} - 98 q^{93} + 42 q^{94} + 54 q^{95} + 68 q^{96} + 18 q^{97} + 16 q^{98} - 4 q^{99}+O(q^{100}) \) 116 * q - 2 * q^2 + 6 * q^4 - 2 * q^5 - 2 * q^6 - 10 * q^7 + 2 * q^8 + 16 * q^9 + 6 * q^10 - 8 * q^12 + 12 * q^13 - 10 * q^14 + 20 * q^15 + 62 * q^16 - 8 * q^17 - 54 * q^18 + 6 * q^20 - 10 * q^21 + 2 * q^22 - 14 * q^23 - 62 * q^24 - 12 * q^25 + 30 * q^27 + 18 * q^28 - 2 * q^29 - 18 * q^30 - 2 * q^31 - 48 * q^32 + 4 * q^33 - 24 * q^34 + 2 * q^35 + 24 * q^36 - 14 * q^37 - 6 * q^38 + 4 * q^39 + 98 * q^40 + 6 * q^41 - 44 * q^42 + 26 * q^43 - 120 * q^44 - 18 * q^45 - 44 * q^46 - 2 * q^47 - 20 * q^48 - 18 * q^49 - 20 * q^50 - 8 * q^51 + 102 * q^52 - 44 * q^53 + 28 * q^54 + 2 * q^55 + 42 * q^56 - 48 * q^57 - 16 * q^58 + 22 * q^59 - 8 * q^60 - 10 * q^61 - 16 * q^62 - 26 * q^63 - 108 * q^65 + 6 * q^66 - 36 * q^67 - 72 * q^68 - 76 * q^69 - 134 * q^70 + 30 * q^72 + 12 * q^73 - 8 * q^74 + 20 * q^75 - 6 * q^76 - 10 * q^77 + 210 * q^78 - 6 * q^79 + 4 * q^80 + 44 * q^81 - 50 * q^82 + 24 * q^83 + 222 * q^84 + 54 * q^85 + 90 * q^86 - 32 * q^87 - 4 * q^88 + 8 * q^89 - 74 * q^90 + 72 * q^91 + 18 * q^92 - 98 * q^93 + 42 * q^94 + 54 * q^95 + 68 * q^96 + 18 * q^97 + 16 * q^98 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/495\mathbb{Z}\right)^\times$.

$n$	$46$	$56$	$397$
$\chi(n)$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	0.260420	−	0.971901i	0.184145	−	0.687238i	−0.810667	−	0.585507i	$-0.800895\pi$
$2$	0.260420	−	0.971901i	0.184145	−	0.687238i	0.994812	−	0.101731i	$-0.0324380\pi$
$3$	1.09089	+	1.34535i	0.629826	+	0.776736i
$3$	1.09089	+	1.34535i	0.629826	+	0.776736i
$4$	0.855277	+	0.493795i	0.427639	+	0.246897i
$5$	−1.65525	−	1.50337i	−0.740252	−	0.672329i
$5$	−1.65525	−	1.50337i	−0.740252	−	0.672329i
$6$	1.59163	−	0.709883i	0.649782	−	0.289808i
$7$	0.704826	+	0.188858i	0.266399	+	0.0713815i	0.389546	−	0.921007i	$-0.372632\pi$
$7$	0.704826	+	0.188858i	0.266399	+	0.0713815i	−0.123147	+	0.992388i	$0.539299\pi$
$8$	2.12561	−	2.12561i	0.751518	−	0.751518i
$9$	−0.619915	+	2.93525i	−0.206638	+	0.978417i
$10$	−1.89219	+	1.21723i	−0.598364	+	0.384923i
$11$	0.866025	−	0.500000i	0.261116	−	0.150756i
$11$	0.866025	−	0.500000i	0.261116	−	0.150756i
$12$	0.268689	+	1.68932i	0.0775639	+	0.487665i
$13$	4.50100	−	1.20604i	1.24835	−	0.334495i	0.426653	−	0.904415i	$-0.359692\pi$
$13$	4.50100	−	1.20604i	1.24835	−	0.334495i	0.821700	+	0.569920i	$0.193026\pi$
$14$	0.367102	−	0.635839i	0.0981121	−	0.169935i
$15$	0.216859	−	3.86691i	0.0559927	−	0.998431i
$16$	−0.524745	−	0.908885i	−0.131186	−	0.227221i
$17$	0.213599	+	0.213599i	0.0518053	+	0.0518053i	0.732535	−	0.680730i	$-0.238337\pi$
$17$	0.213599	+	0.213599i	0.0518053	+	0.0518053i	−0.680730	+	0.732535i	$0.738337\pi$
$18$	2.69134	+	1.36690i	0.634354	+	0.322180i
$19$			2.46760i			0.566106i	0.959104	+	0.283053i	$0.0913473\pi$
$19$			2.46760i			0.566106i	−0.959104	+	0.283053i	$0.908653\pi$
$20$	−0.673343	−	2.10316i	−0.150564	−	0.470280i
$21$	0.514809	+	1.15426i	0.112341	+	0.251880i
$22$	−0.260420	−	0.971901i	−0.0555218	−	0.207210i
$23$	−0.0257736	−	0.0961883i	−0.00537416	−	0.0200566i	0.963187	−	0.268833i	$-0.0866381\pi$
$23$	−0.0257736	−	0.0961883i	−0.00537416	−	0.0200566i	−0.968561	+	0.248777i	$0.919971\pi$
$24$	5.17850	+	0.540875i	1.05706	+	0.110406i
$25$	0.479731	+	4.97693i	0.0959461	+	0.995387i
$26$		−	4.68861i		−	0.919512i
$27$	−4.62519	+	2.36804i	−0.890118	+	0.455729i
$28$	0.509565	+	0.509565i	0.0962987	+	0.0962987i
$29$	−1.87331	−	3.24467i	−0.347865	−	0.602520i	0.638005	−	0.770032i	$-0.279760\pi$
$29$	−1.87331	−	3.24467i	−0.347865	−	0.602520i	−0.985870	+	0.167512i	$0.946427\pi$
$30$	−3.70178	−	1.21779i	−0.675849	−	0.222336i
$31$	1.41409	−	2.44928i	0.253978	−	0.439903i	−0.710639	−	0.703556i	$-0.751594\pi$
$31$	1.41409	−	2.44928i	0.253978	−	0.439903i	0.964617	+	0.263654i	$0.0849276\pi$
$32$	4.78728	−	1.28275i	0.846280	−	0.226760i
$33$	1.61741	+	0.619659i	0.281555	+	0.107869i
$34$	0.263222	−	0.151972i	0.0451423	−	0.0260629i
$35$	−0.882742	−	1.37222i	−0.149211	−	0.231948i
$36$	−1.97961	+	2.20434i	−0.329935	+	0.367391i
$37$	−0.548005	+	0.548005i	−0.0900915	+	0.0900915i	−0.750716	−	0.660625i	$-0.770291\pi$
$37$	−0.548005	+	0.548005i	−0.0900915	+	0.0900915i	0.660625	+	0.750716i	$0.270291\pi$
$38$	2.39826	+	0.642613i	0.389050	+	0.104246i
$39$	6.53265	+	4.73975i	1.04606	+	0.758968i
$40$	−6.71402	+	0.322837i	−1.06158	+	0.0510450i
$41$	−1.82213	−	1.05201i	−0.284569	−	0.164296i	0.350921	−	0.936405i	$-0.385869\pi$
$41$	−1.82213	−	1.05201i	−0.284569	−	0.164296i	−0.635490	+	0.772109i	$0.719202\pi$
$42$	1.25589	−	0.199752i	0.193788	−	0.0308224i
$43$	−1.97692	+	7.37798i	−0.301478	+	1.12513i	0.634457	+	0.772958i	$0.281224\pi$
$43$	−1.97692	+	7.37798i	−0.301478	+	1.12513i	−0.935935	+	0.352173i	$0.885443\pi$
$44$	0.987589			0.148885
$45$	5.43890	−	3.92662i	0.810783	−	0.585346i
$46$	−0.100198			−0.0147733
$47$	−1.25562	+	4.68603i	−0.183151	+	0.683527i	0.811868	+	0.583841i	$0.198451\pi$
$47$	−1.25562	+	4.68603i	−0.183151	+	0.683527i	−0.995019	+	0.0996866i	$0.968216\pi$
$48$	0.650326	−	1.69746i	0.0938664	−	0.245007i
$49$	−5.60107	−	3.23378i	−0.800152	−	0.461968i
$50$	4.96202	+	0.829843i	0.701735	+	0.117358i
$51$	−0.0543515	+	0.520377i	−0.00761073	+	0.0728674i
$52$	4.44514	+	1.19107i	0.616430	+	0.165172i
$53$	−5.68463	+	5.68463i	−0.780844	+	0.780844i	−0.979973	−	0.199129i	$-0.936189\pi$
$53$	−5.68463	+	5.68463i	−0.780844	+	0.780844i	0.199129	+	0.979973i	$0.436189\pi$
$54$	1.09701	+	5.11191i	0.149284	+	0.695643i
$55$	−2.18518	−	0.474334i	−0.294649	−	0.0639591i
$56$	1.89963	−	1.09675i	0.253848	−	0.146559i
$57$	−3.31978	+	2.69188i	−0.439715	+	0.356549i
$58$	−3.64135	+	0.975696i	−0.478132	+	0.128115i
$59$	2.72808	−	4.72518i	0.355166	−	0.615166i	−0.631980	−	0.774985i	$-0.717758\pi$
$59$	2.72808	−	4.72518i	0.355166	−	0.615166i	0.987146	+	0.159818i	$0.0510909\pi$
$60$	2.09493	−	3.20019i	0.270455	−	0.413143i
$61$	−0.748199	−	1.29592i	−0.0957970	−	0.165925i	0.814144	−	0.580663i	$-0.197207\pi$
$61$	−0.748199	−	1.29592i	−0.0957970	−	0.165925i	−0.909941	+	0.414738i	$0.863873\pi$
$62$	−2.01220	−	2.01220i	−0.255549	−	0.255549i
$63$	−0.991277	+	1.95177i	−0.124889	+	0.245899i
$64$		−	7.08580i		−	0.885725i
$65$	−9.26343	−	4.77039i	−1.14899	−	0.591694i
$66$	1.02345	−	1.41059i	0.125979	−	0.173632i
$67$	−3.55220	−	13.2570i	−0.433971	−	1.61960i	−0.743517	−	0.668717i	$-0.766844\pi$
$67$	−3.55220	−	13.2570i	−0.433971	−	1.61960i	0.309547	−	0.950884i	$-0.399823\pi$
$68$	0.0772123	+	0.288160i	0.00936337	+	0.0349446i
$69$	0.101290	−	0.139605i	0.0121939	−	0.0168065i
$70$	−1.56355	+	0.500584i	−0.186880	+	0.0598312i
$71$		−	13.6547i		−	1.62052i	−0.586071	−	0.810260i	$-0.699326\pi$
$71$		−	13.6547i		−	1.62052i	0.586071	−	0.810260i	$-0.300674\pi$
$72$	4.92151	+	7.55691i	0.580006	+	0.890590i
$73$	−1.56220	−	1.56220i	−0.182842	−	0.182842i	0.609751	−	0.792593i	$-0.291269\pi$
$73$	−1.56220	−	1.56220i	−0.182842	−	0.182842i	−0.792593	+	0.609751i	$0.791269\pi$
$74$	0.389895	+	0.675318i	0.0453244	+	0.0785042i
$75$	−6.17237	+	6.07469i	−0.712723	+	0.701445i
$76$	−1.21849	+	2.11048i	−0.139770	+	0.242089i
$77$	0.704826	−	0.188858i	0.0803224	−	0.0215223i
$78$	6.30780	−	5.11476i	0.714218	−	0.579132i
$79$	−5.77842	+	3.33617i	−0.650123	+	0.375349i	−0.788503	−	0.615031i	$-0.789144\pi$
$79$	−5.77842	+	3.33617i	−0.650123	+	0.375349i	0.138380	+	0.990379i	$0.455810\pi$
$80$	−0.497808	+	2.29332i	−0.0556566	+	0.256401i
$81$	−8.23141	−	3.63921i	−0.914601	−	0.404357i
$82$	−1.49697	+	1.49697i	−0.165312	+	0.165312i
$83$	−6.43762	−	1.72496i	−0.706621	−	0.189339i	−0.112427	−	0.993660i	$-0.535862\pi$
$83$	−6.43762	−	1.72496i	−0.706621	−	0.189339i	−0.594194	+	0.804321i	$0.702529\pi$
$84$	−0.129662	+	1.24142i	−0.0141473	+	0.135450i
$85$	−0.0324413	−	0.674679i	−0.00351875	−	0.0731793i
$86$	6.65583	+	3.84275i	0.717717	+	0.414374i
$87$	2.32163	−	6.05983i	0.248905	−	0.649682i
$88$	0.778028	−	2.90364i	0.0829381	−	0.309529i
$89$	−15.8146			−1.67634			−0.838171	−	0.545408i	$-0.816375\pi$
$89$	−15.8146			−1.67634			−0.838171	+	0.545408i	$0.816375\pi$
$90$	−2.39989	−	6.30865i	−0.252971	−	0.664990i
$91$	3.40019			0.356437
$92$	0.0254537	−	0.0949945i	0.00265373	−	0.00990386i
$93$	4.83774	−	0.769451i	0.501651	−	0.0797884i
$94$	4.22737	+	2.44067i	0.436020	+	0.251736i
$95$	3.70973	−	4.08451i	0.380610	−	0.419061i
$96$	6.94814	+	5.04122i	0.709142	+	0.514517i
$97$	−9.74242	−	2.61047i	−0.989193	−	0.265053i	−0.272281	−	0.962218i	$-0.587778\pi$
$97$	−9.74242	−	2.61047i	−0.989193	−	0.265053i	−0.716911	+	0.697164i	$0.754445\pi$
$98$	−4.60154	+	4.60154i	−0.464826	+	0.464826i
$99$	0.930764	+	2.85196i	0.0935453	+	0.286633i
$100$	−2.04728	+	4.49355i	−0.204728	+	0.449355i
$101$	−7.18568	+	4.14866i	−0.715002	+	0.412807i	−0.812910	−	0.582389i	$-0.802118\pi$
$101$	−7.18568	+	4.14866i	−0.715002	+	0.412807i	0.0979083	+	0.995195i	$0.468785\pi$
$102$	0.491601	+	0.188341i	0.0486758	+	0.0186485i
$103$	15.0228	−	4.02535i	1.48024	−	0.396629i	0.573812	−	0.818987i	$-0.305464\pi$
$103$	15.0228	−	4.02535i	1.48024	−	0.396629i	0.906429	+	0.422358i	$0.138797\pi$
$104$	7.00382	−	12.1310i	0.686781	−	1.18954i
$105$	0.883142	−	2.68454i	0.0861859	−	0.261984i
$106$	4.04451	+	7.00529i	0.392837	+	0.680414i
$107$	13.0491	+	13.0491i	1.26150	+	1.26150i	0.950364	+	0.311140i	$0.100711\pi$
$107$	13.0491	+	13.0491i	1.26150	+	1.26150i	0.311140	+	0.950364i	$0.399289\pi$
$108$	−5.12515	−	0.258564i	−0.493167	−	0.0248804i
$109$			9.53104i			0.912908i	0.889747	+	0.456454i	$0.150881\pi$
$109$			9.53104i			0.912908i	−0.889747	+	0.456454i	$0.849119\pi$
$110$	−1.03007	+	2.00025i	−0.0982133	+	0.190717i
$111$	−1.33507	−	0.139443i	−0.126719	−	0.0132354i
$112$	−0.198204	−	0.739708i	−0.0187285	−	0.0698958i
$113$	2.12800	+	7.94181i	0.200186	+	0.747102i	0.990863	+	0.134870i	$0.0430617\pi$
$113$	2.12800	+	7.94181i	0.200186	+	0.747102i	−0.790678	+	0.612232i	$0.790272\pi$
$114$	1.75171	+	3.92752i	0.164062	+	0.367846i
$115$	−0.101945	+	0.197963i	−0.00950644	+	0.0184602i
$116$		−	3.70012i		−	0.343548i
$117$	0.749793	+	13.9592i	0.0693184	+	1.29053i
$118$	−3.88196	−	3.88196i	−0.357364	−	0.357364i
$119$	0.110210	+	0.190890i	0.0101030	+	0.0174988i
$120$	−7.75859	−	8.68051i	−0.708259	−	0.792418i
$121$	0.500000	−	0.866025i	0.0454545	−	0.0787296i
$122$	−1.45435	+	0.389692i	−0.131671	+	0.0352811i
$123$	−0.572431	−	3.59902i	−0.0516143	−	0.324513i
$124$	2.41888	−	1.39654i	0.217222	−	0.125413i
$125$	6.68812	−	8.95930i	0.598203	−	0.801344i
$126$	1.63878	+	1.47170i	0.145994	+	0.131110i
$127$	−11.5589	+	11.5589i	−1.02569	+	1.02569i	−0.0260285	+	0.999661i	$0.508286\pi$
$127$	−11.5589	+	11.5589i	−1.02569	+	1.02569i	−0.999661	+	0.0260285i	$0.991714\pi$
$128$	2.68787	+	0.720212i	0.237576	+	0.0636584i
$129$	−12.0825	+	5.38892i	−1.06381	+	0.474468i
$130$	−7.04873	+	7.76084i	−0.618215	+	0.680670i
$131$	0.694860	+	0.401178i	0.0607102	+	0.0350511i	0.530048	−	0.847968i	$-0.322174\pi$
$131$	0.694860	+	0.401178i	0.0607102	+	0.0350511i	−0.469338	+	0.883019i	$0.655507\pi$
$132$	1.07735	+	1.32865i	0.0937714	+	0.115644i
$133$	−0.466025	+	1.73923i	−0.0404095	+	0.150810i
$134$	−13.8096			−1.19296
$135$	11.2159	+	3.03369i	0.965312	+	0.261098i
$136$	0.908057			0.0778653
$137$	−4.59358	+	17.1435i	−0.392456	+	1.46467i	0.433615	+	0.901098i	$0.357238\pi$
$137$	−4.59358	+	17.1435i	−0.392456	+	1.46467i	−0.826070	+	0.563567i	$0.809429\pi$
$138$	−0.109305	−	0.134800i	−0.00930462	−	0.0114750i
$139$	−19.7006	−	11.3742i	−1.67099	−	0.964745i	−0.967087	−	0.254446i	$-0.918107\pi$
$139$	−19.7006	−	11.3742i	−1.67099	−	0.964745i	−0.703900	−	0.710299i	$-0.748560\pi$
$140$	−0.0773924	−	1.60953i	−0.00654085	−	0.136030i
$141$	−7.67407	+	3.42270i	−0.646273	+	0.288244i
$142$	−13.2711	−	3.55597i	−1.11368	−	0.298410i
$143$	3.29496	−	3.29496i	0.275539	−	0.275539i
$144$	2.99310	−	0.976827i	0.249425	−	0.0814023i
$145$	−1.77715	+	8.18704i	−0.147584	+	0.679897i
$146$	−1.92513	+	1.11148i	−0.159325	+	0.0919864i
$147$	−1.75960	−	11.0631i	−0.145129	−	0.912467i
$148$	−0.739298	+	0.198094i	−0.0607699	+	0.0162833i
$149$	9.86060	−	17.0791i	0.807812	−	1.39917i	−0.106564	−	0.994306i	$-0.533985\pi$
$149$	9.86060	−	17.0791i	0.807812	−	1.39917i	0.914376	−	0.404865i	$-0.132682\pi$
$150$	4.29659	+	7.58090i	0.350815	+	0.618978i
$151$	8.40603	+	14.5597i	0.684073	+	1.18485i	0.973727	+	0.227718i	$0.0731264\pi$
$151$	8.40603	+	14.5597i	0.684073	+	1.18485i	−0.289654	+	0.957131i	$0.593540\pi$
$152$	5.24517	+	5.24517i	0.425439	+	0.425439i
$153$	−0.759380	+	0.494553i	−0.0613922	+	0.0399823i
$154$		−	0.734204i		−	0.0591638i
$155$	−6.02286	+	1.92827i	−0.483768	+	0.154882i
$156$	3.24676	+	7.27959i	0.259949	+	0.582833i
$157$	3.26139	+	12.1717i	0.260288	+	0.971406i	0.965072	+	0.261985i	$0.0843770\pi$
$157$	3.26139	+	12.1717i	0.260288	+	0.971406i	−0.704784	+	0.709421i	$0.748956\pi$
$158$	1.73761	+	6.48486i	0.138237	+	0.515908i
$159$	−13.8491	−	1.44649i	−1.09831	−	0.114714i
$160$	−9.85262	−	5.07380i	−0.778918	−	0.401119i
$161$		−	0.0726636i		−	0.00572669i
$162$	−5.68058	+	7.05239i	−0.446309	+	0.554088i
$163$	−1.11574	−	1.11574i	−0.0873916	−	0.0873916i	0.662060	−	0.749451i	$-0.269683\pi$
$163$	−1.11574	−	1.11574i	−0.0873916	−	0.0873916i	−0.749451	+	0.662060i	$0.769683\pi$
$164$	−1.03895	−	1.79952i	−0.0811285	−	0.140519i
$165$	−1.74565	−	3.45727i	−0.135899	−	0.269148i
$166$	−3.35297	+	5.80752i	−0.260241	+	0.450751i
$167$	11.5161	−	3.08573i	0.891143	−	0.238781i	0.215935	−	0.976408i	$-0.430720\pi$
$167$	11.5161	−	3.08573i	0.891143	−	0.238781i	0.675209	+	0.737627i	$0.264054\pi$
$168$	3.54779	+	1.35922i	0.273718	+	0.104866i
$169$	7.54617	−	4.35678i	0.580475	−	0.335137i
$170$	−0.664170	−	0.144170i	−0.0509395	−	0.0110574i
$171$	−7.24303	−	1.52970i	−0.553888	−	0.116979i
$172$	−5.33402	+	5.33402i	−0.406715	+	0.406715i
$173$	1.94373	+	0.520820i	0.147779	+	0.0395972i	0.331950	−	0.943297i	$-0.392293\pi$
$173$	1.94373	+	0.520820i	0.147779	+	0.0395972i	−0.184171	+	0.982894i	$0.558960\pi$
$174$	−5.28496	−	3.83450i	−0.400652	−	0.290692i
$175$	−0.601805	+	3.59847i	−0.0454922	+	0.272019i
$176$	−0.908885	−	0.524745i	−0.0685097	−	0.0395541i
$177$	9.33305	−	1.48444i	0.701515	−	0.111577i
$178$	−4.11844	+	15.3702i	−0.308690	+	1.15205i
$179$	6.27108			0.468722			0.234361	−	0.972150i	$-0.424700\pi$
$179$	6.27108			0.468722			0.234361	+	0.972150i	$0.424700\pi$
$180$	6.59071	−	0.672652i	0.491243	−	0.0501366i
$181$	9.27940			0.689733			0.344866	−	0.938652i	$-0.387924\pi$
$181$	9.27940			0.689733			0.344866	+	0.938652i	$0.387924\pi$
$182$	0.885479	−	3.30465i	0.0656361	−	0.244957i
$183$	0.927256	−	2.42029i	0.0685447	−	0.178913i
$184$	−0.259244	−	0.149674i	−0.0191117	−	0.0110341i
$185$	1.73094	−	0.0832307i	0.127262	−	0.00611924i
$186$	0.512015	−	4.90219i	0.0375428	−	0.359446i
$187$	0.291781	+	0.0781826i	0.0213372	+	0.00571728i
$188$	−3.38783	+	3.38783i	−0.247083	+	0.247083i
$189$	−3.70718	+	0.795553i	−0.269657	+	0.0578680i
$190$	−3.00365	−	4.66918i	−0.217908	−	0.338738i
$191$	−0.513762	+	0.296620i	−0.0371745	+	0.0214627i	−0.518472	−	0.855095i	$-0.673499\pi$
$191$	−0.513762	+	0.296620i	−0.0371745	+	0.0214627i	0.481298	+	0.876557i	$0.340166\pi$
$192$	9.53286	−	7.72983i	0.687975	−	0.557853i
$193$	24.0038	−	6.43180i	1.72783	−	0.462971i	0.748150	−	0.663530i	$-0.230943\pi$
$193$	24.0038	−	6.43180i	1.72783	−	0.462971i	0.979682	+	0.200559i	$0.0642759\pi$
$194$	−5.07425	+	8.78885i	−0.364310	+	0.631003i
$195$	−3.68756	−	17.6665i	−0.264072	−	1.26512i
$196$	−3.19364	−	5.53155i	−0.228117	−	0.395111i
$197$	−2.09999	−	2.09999i	−0.149618	−	0.149618i	0.628329	−	0.777947i	$-0.283739\pi$
$197$	−2.09999	−	2.09999i	−0.149618	−	0.149618i	−0.777947	+	0.628329i	$0.783739\pi$
$198$	3.01421	−	0.161903i	0.214211	−	0.0115059i
$199$		−	18.7011i		−	1.32568i	−0.748759	−	0.662842i	$-0.769350\pi$
$199$		−	18.7011i		−	1.32568i	0.748759	−	0.662842i	$-0.230650\pi$
$200$	11.5988	+	9.55931i	0.820156	+	0.675945i
$201$	13.9602	−	19.2409i	0.984677	−	1.35715i
$202$	2.16079	+	8.06417i	0.152032	+	0.567393i
$203$	−0.707578	−	2.64072i	−0.0496622	−	0.185342i
$204$	−0.303445	+	0.418229i	−0.0212454	+	0.0292819i
$205$	1.43453	+	4.48069i	0.100192	+	0.312945i
$206$		−	15.6490i		−	1.09032i
$207$	0.298314	−	0.0160234i	0.0207343	−	0.00111370i
$208$	−3.45803	−	3.45803i	−0.239771	−	0.239771i
$209$	1.23380	+	2.13701i	0.0853438	+	0.147820i
$210$	−2.37912	−	1.55744i	−0.164175	−	0.107473i
$211$	−0.572513	+	0.991622i	−0.0394135	+	0.0682661i	−0.885059	−	0.465478i	$-0.845882\pi$
$211$	−0.572513	+	0.991622i	−0.0394135	+	0.0682661i	0.845646	+	0.533745i	$0.179216\pi$
$212$	−7.66897	+	2.05489i	−0.526707	+	0.141131i
$213$	18.3704	−	14.8958i	1.25872	−	1.02065i
$214$	16.0807	−	9.28419i	1.09925	−	0.634654i
$215$	14.3642	−	9.24037i	0.979628	−	0.630188i
$216$	−4.79783	+	14.8649i	−0.326451	+	1.01143i
$217$	1.45925	−	1.45925i	0.0990605	−	0.0990605i
$218$	9.26323	+	2.48208i	0.627385	+	0.168107i
$219$	0.397511	−	3.80589i	0.0268613	−	0.257178i
$220$	−1.63471	−	1.48472i	−0.110212	−	0.100100i
$221$	1.21902	+	0.703800i	0.0820000	+	0.0473427i
$222$	−0.483204	+	1.26124i	−0.0324305	+	0.0846491i
$223$	6.21723	−	23.2030i	0.416336	−	1.55379i	−0.365807	−	0.930691i	$-0.619207\pi$
$223$	6.21723	−	23.2030i	0.416336	−	1.55379i	0.782144	−	0.623098i	$-0.214126\pi$
$224$	3.61646			0.241635
$225$	−14.9059	−	1.67714i	−0.993730	−	0.111810i
$226$	8.27283			0.550300
$227$	−1.89242	+	7.06260i	−0.125604	+	0.468761i	−0.999860	−	0.0167036i	$-0.994683\pi$
$227$	−1.89242	+	7.06260i	−0.125604	+	0.468761i	0.874256	+	0.485465i	$0.161349\pi$
$228$	−4.16857	+	0.663018i	−0.276070	+	0.0439094i
$229$	−2.95212	−	1.70441i	−0.195082	−	0.112630i	0.399278	−	0.916830i	$-0.369261\pi$
$229$	−2.95212	−	1.70441i	−0.195082	−	0.112630i	−0.594359	+	0.804200i	$0.702594\pi$
$230$	0.165852	+	0.150634i	0.0109360	+	0.00993254i
$231$	1.02297	+	0.742212i	0.0673063	+	0.0488340i
$232$	−10.8788	−	2.91498i	−0.714231	−	0.191378i
$233$	−9.61864	+	9.61864i	−0.630138	+	0.630138i	−0.948103	−	0.317964i	$-0.897001\pi$
$233$	−9.61864	+	9.61864i	−0.630138	+	0.630138i	0.317964	+	0.948103i	$0.397001\pi$
$234$	13.7622	+	2.90654i	0.899666	+	0.190006i
$235$	9.12322	−	5.86890i	0.595133	−	0.382845i
$236$	4.66654	−	2.69423i	0.303766	−	0.175379i
$237$	−10.7919	−	4.13458i	−0.701011	−	0.268570i
$238$	0.214227	−	0.0574020i	0.0138863	−	0.00372082i
$239$	−7.54218	+	13.0634i	−0.487863	+	0.845003i	−0.999903	−	0.0139585i	$-0.995557\pi$
$239$	−7.54218	+	13.0634i	−0.487863	+	0.845003i	0.512040	+	0.858962i	$0.328890\pi$
$240$	−3.62837	+	1.83204i	−0.234210	+	0.118258i
$241$	2.76101	+	4.78222i	0.177853	+	0.308050i	0.941145	−	0.338004i	$-0.109752\pi$
$241$	2.76101	+	4.78222i	0.177853	+	0.308050i	−0.763292	+	0.646053i	$0.776418\pi$
$242$	−0.711481	−	0.711481i	−0.0457357	−	0.0457357i
$243$	−4.08357	−	15.0441i	−0.261961	−	0.965078i
$244$		−	1.47783i		−	0.0946081i
$245$	4.40961	+	13.7732i	0.281720	+	0.879939i
$246$	−3.64697	−	0.380912i	−0.232522	−	0.0242861i
$247$	2.97603	+	11.1067i	0.189360	+	0.706701i
$248$	−2.20040	−	8.21202i	−0.139726	−	0.521464i
$249$	−4.70208	−	10.5426i	−0.297982	−	0.668109i
$250$	−6.96584	−	8.83337i	−0.440558	−	0.558672i
$251$		−	8.26629i		−	0.521764i	−0.965371	−	0.260882i	$-0.915987\pi$
$251$		−	8.26629i		−	0.521764i	0.965371	−	0.260882i	$-0.0840133\pi$
$252$	−1.81159	+	1.17981i	−0.114119	+	0.0743213i
$253$	−0.0704147	−	0.0704147i	−0.00442694	−	0.00442694i
$254$	8.22396	+	14.2443i	0.516017	+	0.893768i
$255$	0.872288	−	0.779646i	0.0546248	−	0.0488233i
$256$	8.48575	−	14.6978i	0.530359	−	0.918609i
$257$	−18.1184	+	4.85481i	−1.13019	+	0.302835i	−0.775002	−	0.631958i	$-0.782251\pi$
$257$	−18.1184	+	4.85481i	−1.13019	+	0.302835i	−0.355193	+	0.934793i	$0.615585\pi$
$258$	2.09096	+	13.1464i	0.130178	+	0.818461i
$259$	−0.489743	+	0.282753i	−0.0304312	+	0.0175694i
$260$	−5.56721	−	8.65424i	−0.345264	−	0.536713i
$261$	10.6852	−	3.48722i	0.661398	−	0.215854i
$262$	0.570861	−	0.570861i	0.0352679	−	0.0352679i
$263$	−14.8927	−	3.99049i	−0.918325	−	0.246064i	−0.231456	−	0.972845i	$-0.574349\pi$
$263$	−14.8927	−	3.99049i	−0.918325	−	0.246064i	−0.686869	+	0.726781i	$0.741015\pi$
$264$	4.75515	−	2.12084i	0.292659	−	0.130529i
$265$	17.9556	−	0.863378i	1.10301	−	0.0530369i
$266$	1.56900	+	0.905861i	0.0962014	+	0.0555419i
$267$	−17.2520	−	21.2761i	−1.05580	−	1.30208i
$268$	3.50812	−	13.0925i	0.214292	−	0.799750i
$269$	−17.6064			−1.07348			−0.536741	−	0.843747i	$-0.680345\pi$
$269$	−17.6064			−1.07348			−0.536741	+	0.843747i	$0.680345\pi$
$270$	5.86930	−	10.1107i	0.357194	−	0.615319i
$271$	15.7187			0.954841			0.477421	−	0.878675i	$-0.341572\pi$
$271$	15.7187			0.954841			0.477421	+	0.878675i	$0.341572\pi$
$272$	0.0820518	−	0.306222i	0.00497512	−	0.0185674i
$273$	3.70924	+	4.57444i	0.224493	+	0.276858i
$274$	15.4655	+	8.92901i	0.934305	+	0.539421i
$275$	2.90393	+	4.07028i	0.175113	+	0.245447i
$276$	0.155568	−	0.0693846i	0.00936408	−	0.00417646i
$277$	16.3114	+	4.37063i	0.980058	+	0.262606i	0.713069	−	0.701094i	$-0.247305\pi$
$277$	16.3114	+	4.37063i	0.980058	+	0.262606i	0.266989	+	0.963700i	$0.413971\pi$
$278$	−16.1850	+	16.1850i	−0.970713	+	0.970713i
$279$	6.31263	+	5.66905i	0.377927	+	0.339397i
$280$	−4.79319	−	1.04045i	−0.286448	−	0.0621788i
$281$	22.4766	−	12.9769i	1.34084	−	0.774137i	0.353913	−	0.935278i	$-0.384851\pi$
$281$	22.4766	−	12.9769i	1.34084	−	0.774137i	0.986931	+	0.161141i	$0.0515175\pi$
$282$	1.32805	+	8.34978i	0.0790840	+	0.497222i
$283$	11.2272	−	3.00832i	0.667387	−	0.178826i	0.0908096	−	0.995868i	$-0.471055\pi$
$283$	11.2272	−	3.00832i	0.667387	−	0.178826i	0.576578	+	0.817042i	$0.304388\pi$
$284$	6.74264	−	11.6786i	0.400102	−	0.692997i
$285$	9.54198	+	0.535121i	0.565218	+	0.0316978i
$286$	−2.34430	−	4.06045i	−0.138622	−	0.240100i
$287$	−1.08561	−	1.08561i	−0.0640813	−	0.0640813i
$288$	0.797483	+	14.8471i	0.0469921	+	0.874873i
$289$		−	16.9088i		−	0.994632i
$290$	7.49419	+	3.85928i	0.440074	+	0.226625i
$291$	−7.11592	−	15.9547i	−0.417143	−	0.935280i
$292$	−0.564708	−	2.10752i	−0.0330471	−	0.123333i
$293$	8.18688	+	30.5538i	0.478283	+	1.78497i	0.608572	+	0.793499i	$0.291743\pi$
$293$	8.18688	+	30.5538i	0.478283	+	1.78497i	−0.130289	+	0.991476i	$0.541591\pi$
$294$	−11.2104	−	1.17089i	−0.653807	−	0.0682877i
$295$	−11.6194	+	3.72004i	−0.676507	+	0.216589i
$296$			2.32969i			0.135411i
$297$	−2.82151	+	4.36338i	−0.163721	+	0.253189i
$298$	−14.0313	−	14.0313i	−0.812809	−	0.812809i
$299$	−0.232014	−	0.401860i	−0.0134177	−	0.0232402i
$300$	−8.27873	+	2.14767i	−0.477973	+	0.123996i
$301$	−2.78677	+	4.82683i	−0.160627	+	0.278214i
$302$	16.3397	−	4.37820i	0.940242	−	0.251937i
$303$	−13.4202	−	5.14150i	−0.770969	−	0.295372i
$304$	2.24276	−	1.29486i	0.128631	−	0.0742654i
$305$	−0.709791	+	3.26990i	−0.0406425	+	0.187234i
$306$	0.282899	+	0.866834i	0.0161723	+	0.0495536i
$307$	5.23078	−	5.23078i	0.298536	−	0.298536i	−0.541904	−	0.840440i	$-0.682296\pi$
$307$	5.23078	−	5.23078i	0.298536	−	0.298536i	0.840440	+	0.541904i	$0.182296\pi$
$308$	0.696079	+	0.186514i	0.0396628	+	0.0106276i
$309$	21.8037	+	15.8197i	1.24037	+	0.899950i
$310$	0.305611	+	6.35578i	0.0173576	+	0.360984i
$311$	−17.5801	−	10.1499i	−0.996874	−	0.575546i	−0.0895523	−	0.995982i	$-0.528544\pi$
$311$	−17.5801	−	10.1499i	−0.996874	−	0.575546i	−0.907322	+	0.420436i	$0.861877\pi$
$312$	23.9608	−	3.81100i	1.35651	−	0.215755i
$313$	−0.283886	+	1.05948i	−0.0160462	+	0.0598852i	−0.973485	−	0.228752i	$-0.926535\pi$
$313$	−0.283886	+	1.05948i	−0.0160462	+	0.0598852i	0.957439	+	0.288637i	$0.0932022\pi$
$314$	12.6790			0.715518
$315$	4.57505	−	1.74041i	0.257775	−	0.0980609i
$316$	−6.58953			−0.370690
$317$	−1.21916	+	4.54998i	−0.0684751	+	0.255552i	−0.991675	−	0.128768i	$-0.958898\pi$
$317$	−1.21916	+	4.54998i	−0.0684751	+	0.255552i	0.923200	+	0.384321i	$0.125564\pi$
$318$	−5.01243	+	13.0833i	−0.281083	+	0.733673i
$319$	−3.24467	−	1.87331i	−0.181667	−	0.104885i
$320$	−10.6526	+	11.7288i	−0.595499	+	0.655660i
$321$	−3.32042	+	31.7907i	−0.185328	+	1.77438i
$322$	−0.0706218	−	0.0189231i	−0.00393560	−	0.00105454i
$323$	−0.527077	+	0.527077i	−0.0293273	+	0.0293273i
$324$	−5.24311	−	7.17716i	−0.291284	−	0.398731i
$325$	8.16165	+	21.8226i	0.452727	+	1.21050i
$326$	−1.37495	+	0.793829i	−0.0761515	+	0.0439661i
$327$	−12.8226	+	10.3973i	−0.709089	+	0.574973i
$328$	−6.10931	+	1.63698i	−0.337330	+	0.0903873i
$329$	−1.76998	+	3.06570i	−0.0975823	+	0.169018i
$330$	−3.81473	+	0.796255i	−0.209994	+	0.0438324i
$331$	6.96439	+	12.0627i	0.382797	+	0.663025i	0.991461	−	0.130404i	$-0.0416274\pi$
$331$	6.96439	+	12.0627i	0.382797	+	0.663025i	−0.608664	+	0.793428i	$0.708294\pi$
$332$	−4.65418	−	4.65418i	−0.255431	−	0.255431i
$333$	−1.26882	−	1.94825i	−0.0695307	−	0.106763i
$334$		−	11.9961i		−	0.656398i
$335$	−14.0504	+	27.2840i	−0.767658	+	1.49068i
$336$	0.778944	−	1.07359i	0.0424949	−	0.0585693i
$337$	−1.62515	−	6.06513i	−0.0885273	−	0.330388i	0.907431	−	0.420200i	$-0.138040\pi$
$337$	−1.62515	−	6.06513i	−0.0885273	−	0.330388i	−0.995959	+	0.0898117i	$0.971373\pi$
$338$	−2.26919	−	8.46873i	−0.123428	−	0.460638i
$339$	−8.36307	+	11.5265i	−0.454219	+	0.626036i
$340$	0.305407	−	0.593057i	0.0165630	−	0.0321630i
$341$		−	2.82818i		−	0.153155i
$342$	−3.37295	+	6.64115i	−0.182388	+	0.359112i
$343$	−6.94883	−	6.94883i	−0.375202	−	0.375202i
$344$	11.4806	+	19.8849i	0.618990	+	1.07212i
$345$	−0.377540	+	0.0788048i	−0.0203261	+	0.00424271i
$346$	1.01237	−	1.75348i	0.0544254	−	0.0942676i
$347$	32.7975	−	8.78806i	1.76066	−	0.471768i	0.773812	−	0.633415i	$-0.218348\pi$
$347$	32.7975	−	8.78806i	1.76066	−	0.471768i	0.986848	+	0.161648i	$0.0516809\pi$
$348$	4.97795	−	4.03643i	0.266846	−	0.216375i
$349$	23.6743	−	13.6684i	1.26726	−	0.731652i	0.292790	−	0.956177i	$-0.405416\pi$
$349$	23.6743	−	13.6684i	1.26726	−	0.731652i	0.974468	+	0.224525i	$0.0720829\pi$
$350$	3.34064	+	1.52201i	0.178565	+	0.0813548i
$351$	−17.9621	+	16.2367i	−0.958743	+	0.866652i
$352$	3.50453	−	3.50453i	0.186792	−	0.186792i
$353$	13.3820	+	3.58570i	0.712254	+	0.190848i	0.596713	−	0.802455i	$-0.296473\pi$
$353$	13.3820	+	3.58570i	0.712254	+	0.190848i	0.115541	+	0.993303i	$0.463140\pi$
$354$	0.987788	−	9.45738i	0.0525003	−	0.502654i
$355$	−20.5282	+	22.6021i	−1.08952	+	1.19959i
$356$	−13.5258	−	7.80915i	−0.716869	−	0.413884i
$357$	−0.136586	+	0.356511i	−0.00722888	+	0.0188686i
$358$	1.63312	−	6.09487i	0.0863128	−	0.322124i
$359$	−25.1911			−1.32954			−0.664769	−	0.747049i	$-0.731470\pi$
$359$	−25.1911			−1.32954			−0.664769	+	0.747049i	$0.731470\pi$
$360$	3.21452	−	19.9075i	0.169420	−	1.04922i
$361$	12.9109			0.679523
$362$	2.41654	−	9.01866i	0.127011	−	0.474010i
$363$	1.71055	−	0.272066i	0.0897806	−	0.0142797i
$364$	2.90811	+	1.67900i	0.152426	+	0.0880034i
$365$	0.237266	+	4.93441i	0.0124191	+	0.258279i
$366$	−2.11081	−	1.53149i	−0.110334	−	0.0800525i
$367$	9.07481	+	2.43159i	0.473701	+	0.126928i	0.487768	−	0.872973i	$-0.337811\pi$
$367$	9.07481	+	2.43159i	0.473701	+	0.126928i	−0.0140671	+	0.999901i	$0.504478\pi$
$368$	−0.0738995	+	0.0738995i	−0.00385228	+	0.00385228i
$369$	4.21748	−	4.69626i	0.219553	−	0.244478i
$370$	0.369881	−	1.70398i	0.0192292	−	0.0885858i
$371$	−5.08026	+	2.93309i	−0.263754	+	0.152278i
$372$	4.51756	+	1.73076i	0.234225	+	0.0897356i
$373$	8.60712	−	2.30627i	0.445660	−	0.119414i	−0.0290080	−	0.999579i	$-0.509235\pi$
$373$	8.60712	−	2.30627i	0.445660	−	0.119414i	0.474668	+	0.880165i	$0.342568\pi$
$374$	0.151972	−	0.263222i	0.00785826	−	0.0136109i
$375$	19.3494	−	0.775783i	0.999197	−	0.0400612i
$376$	7.29172	+	12.6296i	0.376042	+	0.651324i
$377$	−12.3450	−	12.3450i	−0.635799	−	0.635799i
$378$	−0.192225	+	3.81019i	−0.00988696	+	0.195975i
$379$			22.1514i			1.13784i	0.822392	+	0.568921i	$0.192639\pi$
$379$			22.1514i			1.13784i	−0.822392	+	0.568921i	$0.807361\pi$
$380$	5.18975	−	1.66154i	0.266229	−	0.0852353i
$381$	−28.1603	−	2.94124i	−1.44270	−	0.150684i
$382$	0.154492	+	0.576571i	0.00790449	+	0.0295000i
$383$	−1.22172	−	4.55952i	−0.0624269	−	0.232980i	0.927662	−	0.373420i	$-0.121815\pi$
$383$	−1.22172	−	4.55952i	−0.0624269	−	0.232980i	−0.990089	+	0.140440i	$0.955148\pi$
$384$	1.96324	+	4.40179i	0.100186	+	0.224628i
$385$	−1.45059	−	0.747010i	−0.0739289	−	0.0380712i
$386$		−	25.0043i		−	1.27269i
$387$	−20.4307	−	10.3765i	−1.03855	−	0.527466i
$388$	−7.04343	−	7.04343i	−0.357576	−	0.357576i
$389$	10.5545	+	18.2809i	0.535133	+	0.926878i	0.999157	+	0.0410551i	$0.0130719\pi$
$389$	10.5545	+	18.2809i	0.535133	+	0.926878i	−0.464024	+	0.885823i	$0.653595\pi$
$390$	−18.1304	−	1.01677i	−0.918069	−	0.0514859i
$391$	0.0150405	−	0.0260509i	0.000760631	−	0.00131745i
$392$	−18.7795	+	5.03194i	−0.948506	+	0.254151i
$393$	0.218294	+	1.37247i	0.0110115	+	0.0692319i
$394$	−2.58786	+	1.49410i	−0.130375	+	0.0752718i
$395$	14.5803	+	3.16492i	0.733613	+	0.159244i
$396$	−0.612221	+	2.89882i	−0.0307653	+	0.145671i
$397$	17.2745	−	17.2745i	0.866980	−	0.866980i	−0.125157	−	0.992137i	$-0.539943\pi$
$397$	17.2745	−	17.2745i	0.866980	−	0.866980i	0.992137	+	0.125157i	$0.0399434\pi$
$398$	−18.1756	−	4.87014i	−0.911061	−	0.244118i
$399$	−2.84825	+	1.27034i	−0.142591	+	0.0635967i
$400$	4.27172	−	3.04764i	0.213586	−	0.152382i
$401$	25.5326	+	14.7412i	1.27504	+	0.736143i	0.975931	−	0.218077i	$-0.0699785\pi$
$401$	25.5326	+	14.7412i	1.27504	+	0.736143i	0.299105	+	0.954220i	$0.403312\pi$
$402$	−15.0647	−	18.5787i	−0.751360	−	0.926619i
$403$	3.41090	−	12.7296i	0.169909	−	0.634109i
$404$	−8.19433			−0.407683
$405$	8.15397	+	18.3987i	0.405174	+	0.914239i
$406$	−2.75078			−0.136519
$407$	−0.200584	+	0.748589i	−0.00994257	+	0.0371062i
$408$	0.990591	+	1.22165i	0.0490416	+	0.0604808i
$409$	−14.0997	−	8.14049i	−0.697187	−	0.402521i	0.109112	−	0.994030i	$-0.465199\pi$
$409$	−14.0997	−	8.14049i	−0.697187	−	0.402521i	−0.806299	+	0.591508i	$0.798533\pi$
$410$	4.72836	−	0.227359i	0.233517	−	0.0112284i
$411$	−28.0750	+	12.5217i	−1.38484	+	0.617650i
$412$	14.8364	+	3.97539i	0.730935	+	0.195853i
$413$	2.81521	−	2.81521i	0.138528	−	0.138528i
$414$	0.0621139	−	0.294105i	0.00305273	−	0.0144545i
$415$	8.06265	+	12.5334i	0.395780	+	0.615240i
$416$	20.0005	−	11.5473i	0.980607	−	0.566154i
$417$	−6.18905	−	38.9122i	−0.303079	−	1.90554i
$418$	2.39826	−	0.642613i	0.117303	−	0.0314312i
$419$	−5.63129	+	9.75368i	−0.275107	+	0.476499i	−0.970162	−	0.242458i	$-0.922046\pi$
$419$	−5.63129	+	9.75368i	−0.275107	+	0.476499i	0.695055	+	0.718956i	$0.255380\pi$
$420$	2.08094	−	1.85994i	0.101540	−	0.0907556i
$421$	6.39041	+	11.0685i	0.311449	+	0.539446i	0.978676	−	0.205408i	$-0.0658522\pi$
$421$	6.39041	+	11.0685i	0.311449	+	0.539446i	−0.667227	+	0.744854i	$0.732519\pi$
$422$	0.814665	+	0.814665i	0.0396573	+	0.0396573i
$423$	−12.9763	−	6.59049i	−0.630929	−	0.320441i
$424$			24.1666i			1.17364i
$425$	−0.960597	+	1.16554i	−0.0465958	+	0.0565368i
$426$	−9.69327	−	21.7334i	−0.469640	−	1.05298i
$427$	−0.282606	−	1.05470i	−0.0136763	−	0.0510405i
$428$	4.71703	+	17.6042i	0.228006	+	0.850930i
$429$	8.02731	+	0.838423i	0.387562	+	0.0404794i
$430$	−5.24001	−	16.3669i	−0.252696	−	0.789284i
$431$			20.0784i			0.967143i	0.875305	+	0.483572i	$0.160661\pi$
$431$			20.0784i			0.967143i	−0.875305	+	0.483572i	$0.839339\pi$
$432$	4.57932	+	2.96115i	0.220323	+	0.142468i
$433$	1.50120	+	1.50120i	0.0721432	+	0.0721432i	0.742258	−	0.670115i	$-0.233755\pi$
$433$	1.50120	+	1.50120i	0.0721432	+	0.0721432i	−0.670115	+	0.742258i	$0.733755\pi$
$434$	−1.03823	−	1.79827i	−0.0498366	−	0.0863196i
$435$	−12.9531	+	6.54029i	−0.621053	+	0.313583i
$436$	−4.70638	+	8.15168i	−0.225395	+	0.390395i
$437$	0.237354	−	0.0635989i	0.0113542	−	0.00304235i
$438$	−3.59543	−	1.37747i	−0.171796	−	0.0658182i
$439$	19.1961	−	11.0829i	0.916181	−	0.528957i	0.0337662	−	0.999430i	$-0.489250\pi$
$439$	19.1961	−	11.0829i	0.916181	−	0.528957i	0.882415	+	0.470472i	$0.155916\pi$
$440$	−5.65310	+	3.63660i	−0.269501	+	0.173368i
$441$	12.9641	−	14.4359i	0.617340	−	0.687423i
$442$	1.00148	−	1.00148i	0.0476356	−	0.0476356i
$443$	−27.9880	−	7.49936i	−1.32975	−	0.356306i	−0.477128	−	0.878834i	$-0.658322\pi$
$443$	−27.9880	−	7.49936i	−1.32975	−	0.356306i	−0.852622	+	0.522528i	$0.824989\pi$
$444$	−1.07300	−	0.778513i	−0.0509223	−	0.0369466i
$445$	26.1771	+	23.7752i	1.24092	+	1.12705i
$446$	−20.9319	−	12.0851i	−0.991156	−	0.572244i
$447$	33.7341	−	5.36546i	1.59557	−	0.253778i
$448$	1.33821	−	4.99426i	0.0632243	−	0.235956i
$449$	−9.80897			−0.462914			−0.231457	−	0.972845i	$-0.574349\pi$
$449$	−9.80897			−0.462914			−0.231457	+	0.972845i	$0.574349\pi$
$450$	−5.51183	+	14.0503i	−0.259830	+	0.662340i
$451$	−2.10402			−0.0990743
$452$	−2.10159	+	7.84324i	−0.0988505	+	0.368915i
$453$	−10.4177	+	27.1920i	−0.489468	+	1.27759i
$454$	6.37132	+	3.67848i	0.299021	+	0.172640i
$455$	−5.62819	−	5.11177i	−0.263853	−	0.239643i
$456$	−1.33466	+	12.7785i	−0.0625013	+	0.598407i
$457$	−7.25119	−	1.94295i	−0.339196	−	0.0908874i	0.0852002	−	0.996364i	$-0.472847\pi$
$457$	−7.25119	−	1.94295i	−0.339196	−	0.0908874i	−0.424396	+	0.905476i	$0.639514\pi$
$458$	−2.42531	+	2.42531i	−0.113327	+	0.113327i
$459$	−1.49375	−	0.482125i	−0.0697221	−	0.0225037i
$460$	−0.184945	+	0.118974i	−0.00862309	+	0.00554717i
$461$	−10.7676	+	6.21669i	−0.501498	+	0.289540i	−0.729332	−	0.684160i	$-0.760169\pi$
$461$	−10.7676	+	6.21669i	−0.501498	+	0.289540i	0.227834	+	0.973700i	$0.426836\pi$
$462$	0.987759	−	0.800936i	0.0459547	−	0.0372629i
$463$	−35.0973	+	9.40428i	−1.63111	+	0.437054i	−0.954238	−	0.299049i	$-0.903331\pi$
$463$	−35.0973	+	9.40428i	−1.63111	+	0.437054i	−0.676870	+	0.736103i	$0.736664\pi$
$464$	−1.96602	+	3.40525i	−0.0912702	+	0.158085i
$465$	−9.16447	−	5.99930i	−0.424992	−	0.278211i
$466$	6.84348	+	11.8533i	0.317018	+	0.549092i
$467$	0.443211	+	0.443211i	0.0205093	+	0.0205093i	0.717287	−	0.696778i	$-0.245384\pi$
$467$	0.443211	+	0.443211i	0.0205093	+	0.0205093i	−0.696778	+	0.717287i	$0.745384\pi$
$468$	−6.25171	+	12.3093i	−0.288985	+	0.568995i
$469$		−	10.0147i		−	0.462438i
$470$	−3.32812	−	10.3952i	−0.153515	−	0.479497i
$471$	−12.8173	+	17.6657i	−0.590591	+	0.813992i
$472$	−4.24506	−	15.8428i	−0.195395	−	0.729222i
$473$	1.97692	+	7.37798i	0.0908990	+	0.339240i
$474$	−6.82884	+	9.41196i	−0.313659	+	0.432306i
$475$	−12.2811	+	1.18378i	−0.563495	+	0.0543157i
$476$			0.217685i			0.00997757i
$477$	−13.1618	−	20.2098i	−0.602639	−	0.925343i
$478$	10.7322	+	10.7322i	0.490881	+	0.490881i
$479$	−6.60845	−	11.4462i	−0.301948	−	0.522989i	0.674629	−	0.738157i	$-0.264303\pi$
$479$	−6.60845	−	11.4462i	−0.301948	−	0.522989i	−0.976577	+	0.215168i	$0.930970\pi$
$480$	−3.92211	−	18.7902i	−0.179019	−	0.857649i
$481$	−1.80566	+	3.12749i	−0.0823308	+	0.142601i
$482$	5.36687	−	1.43805i	0.244454	−	0.0655013i
$483$	0.0977577	−	0.0792680i	0.00444813	−	0.00360682i
$484$	0.855277	−	0.493795i	0.0388762	−	0.0224452i
$485$	12.2017	+	18.9675i	0.554049	+	0.861270i
$486$	−15.6848	+	0.0510405i	−0.711477	+	0.00231524i
$487$	11.3438	−	11.3438i	0.514037	−	0.514037i	−0.401724	−	0.915761i	$-0.631589\pi$
$487$	11.3438	−	11.3438i	0.514037	−	0.514037i	0.915761	+	0.401724i	$0.131589\pi$
$488$	−4.34500	−	1.16424i	−0.196689	−	0.0527027i
$489$	0.283907	−	2.71821i	0.0128387	−	0.122922i
$490$	14.5346	−	0.698879i	0.656605	−	0.0315722i
$491$	11.8209	+	6.82478i	0.533468	+	0.307998i	0.742428	−	0.669926i	$-0.233674\pi$
$491$	11.8209	+	6.82478i	0.533468	+	0.307998i	−0.208959	+	0.977924i	$0.567008\pi$
$492$	1.28759	−	3.36083i	0.0580491	−	0.151518i
$493$	0.292921	−	1.09319i	0.0131925	−	0.0492350i
$494$	11.5696			0.520542
$495$	2.74691	−	6.12001i	0.123465	−	0.275074i
$496$	−2.96815			−0.133274
$497$	2.57880	−	9.62422i	0.115675	−	0.431705i
$498$	−11.4709	+	1.82446i	−0.514021	+	0.0817560i
$499$	−27.5640	−	15.9141i	−1.23393	−	0.712411i	−0.266085	−	0.963950i	$-0.585730\pi$
$499$	−27.5640	−	15.9141i	−1.23393	−	0.712411i	−0.967847	+	0.251539i	$0.919063\pi$
$500$	10.1442	−	4.36013i	0.453665	−	0.194991i
$501$	16.7142	+	12.1270i	0.746735	+	0.541793i
$502$	−8.03402	−	2.15271i	−0.358576	−	0.0960801i
$503$	28.6312	−	28.6312i	1.27660	−	1.27660i	0.334047	−	0.942556i	$-0.391586\pi$
$503$	28.6312	−	28.6312i	1.27660	−	1.27660i	0.942556	−	0.334047i	$-0.108414\pi$
$504$	2.04163	+	6.25577i	0.0909414	+	0.278654i
$505$	18.1311	+	3.93569i	0.806824	+	0.175136i
$506$	−0.0867736	+	0.0500988i	−0.00385756	+	0.00222716i
$507$	14.0934	+	5.39944i	0.625911	+	0.239798i
$508$	−15.5938	+	4.17836i	−0.691865	+	0.185385i
$509$	−19.8392	+	34.3625i	−0.879356	+	1.52309i	−0.0273081	+	0.999627i	$0.508694\pi$
$509$	−19.8392	+	34.3625i	−0.879356	+	1.52309i	−0.852048	+	0.523463i	$0.824640\pi$
$510$	−0.530578	−	1.05081i	−0.0234944	−	0.0465308i
$511$	−0.806046	−	1.39611i	−0.0356574	−	0.0617604i
$512$	−8.13959	−	8.13959i	−0.359722	−	0.359722i
$513$	−5.84338	−	11.4131i	−0.257991	−	0.503902i
$514$			18.8736i			0.832478i
$515$	−30.9182	−	15.9219i	−1.36242	−	0.701604i
$516$	−12.9949	−	1.35727i	−0.572070	−	0.0597506i
$517$	1.25562	+	4.68603i	0.0552220	+	0.206091i
$518$	0.147269	+	0.549617i	0.00647064	+	0.0241488i
$519$	1.41971	+	3.18314i	0.0623183	+	0.139724i
$520$	−29.8305	+	9.55047i	−1.30815	+	0.418816i
$521$			0.861984i			0.0377642i	0.999822	+	0.0188821i	$0.00601072\pi$
$521$			0.861984i			0.0377642i	−0.999822	+	0.0188821i	$0.993989\pi$
$522$	−0.606588	−	11.2931i	−0.0265497	−	0.494286i
$523$	−28.9513	−	28.9513i	−1.26595	−	1.26595i	−0.948161	−	0.317790i	$-0.897059\pi$
$523$	−28.9513	−	28.9513i	−1.26595	−	1.26595i	−0.317790	−	0.948161i	$-0.602941\pi$
$524$	0.396199	+	0.686237i	0.0173080	+	0.0299784i
$525$	−5.49770	+	3.11590i	−0.239939	+	0.135989i
$526$	−7.75673	+	13.4351i	−0.338210	+	0.585796i
$527$	0.825211	−	0.221115i	0.0359467	−	0.00963190i
$528$	−0.285530	−	1.79520i	−0.0124261	−	0.0781262i
$529$	19.9100	−	11.4950i	0.865652	−	0.499784i
$530$	3.83689	−	17.6759i	0.166664	−	0.767794i
$531$	12.1784	+	10.9368i	0.528498	+	0.474618i
$532$	−1.25740	+	1.25740i	−0.0545153	+	0.0545153i
$533$	−9.47018	−	2.53753i	−0.410199	−	0.109913i
$534$	−25.1710	+	11.2265i	−1.08926	+	0.485818i
$535$	−1.98189	−	41.2173i	−0.0856846	−	1.78198i
$536$	−35.7299	−	20.6287i	−1.54330	−	0.891022i
$537$	6.84106	+	8.43677i	0.295214	+	0.364074i
$538$	−4.58507	+	17.1117i	−0.197676	+	0.737738i
$539$	−6.46755			−0.278577
$540$	8.09470	+	8.13300i	0.348340	+	0.349989i
$541$	−18.3585			−0.789293			−0.394646	−	0.918833i	$-0.629133\pi$
$541$	−18.3585			−0.789293			−0.394646	+	0.918833i	$0.629133\pi$
$542$	4.09346	−	15.2770i	0.175829	−	0.656203i
$543$	10.1228	+	12.4840i	0.434412	+	0.535740i
$544$	1.29655	+	0.748565i	0.0555892	+	0.0320944i
$545$	14.3287	−	15.7763i	0.613775	−	0.675782i
$546$	5.41187	−	2.41374i	0.231606	−	0.103299i
$547$	21.0042	+	5.62806i	0.898075	+	0.240638i	0.678189	−	0.734887i	$-0.262765\pi$
$547$	21.0042	+	5.62806i	0.898075	+	0.240638i	0.219886	+	0.975526i	$0.429432\pi$
$548$	−12.3941	+	12.3941i	−0.529451	+	0.529451i
$549$	4.26767	−	1.39279i	0.182140	−	0.0594429i
$550$	4.71216	−	1.76234i	0.200927	−	0.0751466i
$551$	8.00655	−	4.62258i	0.341091	−	0.196929i
$552$	−0.0814426	−	0.512051i	−0.00346643	−	0.0217944i
$553$	−4.70284	+	1.26012i	−0.199985	+	0.0535859i
$554$	8.49564	−	14.7149i	0.360945	−	0.625175i
$555$	2.00024	+	2.23792i	0.0849057	+	0.0949946i
$556$	−11.2330	−	19.4561i	−0.476386	−	0.825124i
$557$	16.7134	+	16.7134i	0.708167	+	0.708167i	0.966150	−	0.257982i	$-0.0830576\pi$
$557$	16.7134	+	16.7134i	0.708167	+	0.708167i	−0.257982	+	0.966150i	$0.583058\pi$
$558$	7.15370	−	4.65891i	0.302840	−	0.197228i
$559$			35.5925i			1.50540i
$560$	−0.783979	+	1.52238i	−0.0331292	+	0.0643322i
$561$	0.213119	+	0.477836i	0.00899789	+	0.0201742i
$562$	−6.75889	−	25.2245i	−0.285107	−	1.06403i
$563$	−4.54540	−	16.9637i	−0.191566	−	0.714934i	−0.993129	−	0.117024i	$-0.962665\pi$
$563$	−4.54540	−	16.9637i	−0.191566	−	0.714934i	0.801563	−	0.597910i	$-0.204002\pi$
$564$	−8.25357	−	0.862054i	−0.347538	−	0.0362990i
$565$	8.41713	−	16.3449i	0.354111	−	0.687635i
$566$		−	11.6951i		−	0.491584i
$567$	−5.11442	−	4.11958i	−0.214785	−	0.173006i
$568$	−29.0247	−	29.0247i	−1.21785	−	1.21785i
$569$	−14.3757	−	24.8995i	−0.602661	−	1.04384i	−0.992416	−	0.122921i	$-0.960774\pi$
$569$	−14.3757	−	24.8995i	−0.602661	−	1.04384i	0.389755	−	0.920919i	$-0.372560\pi$
$570$	3.00501	−	9.13451i	0.125866	−	0.382603i
$571$	−19.1973	+	33.2507i	−0.803383	+	1.39150i	0.113994	+	0.993481i	$0.463635\pi$
$571$	−19.1973	+	33.2507i	−0.803383	+	1.39150i	−0.917377	+	0.398019i	$0.869698\pi$
$572$	4.44514	−	1.19107i	0.185861	−	0.0498012i
$573$	−0.959515	−	0.367607i	−0.0400843	−	0.0153570i
$574$	−1.33782	+	0.772388i	−0.0558393	+	0.0322389i
$575$	0.466358	−	0.174418i	0.0194485	−	0.00727373i
$576$	20.7986	+	4.39259i	0.866609	+	0.183025i
$577$	−13.6116	+	13.6116i	−0.566658	+	0.566658i	−0.931191	−	0.364532i	$-0.881229\pi$
$577$	−13.6116	+	13.6116i	−0.566658	+	0.566658i	0.364532	+	0.931191i	$0.381229\pi$
$578$	−16.4336	−	4.40338i	−0.683549	−	0.183156i
$579$	34.8385	+	25.2770i	1.44784	+	1.05048i
$580$	−5.56267	+	6.12464i	−0.230977	+	0.254312i
$581$	−4.21163	−	2.43159i	−0.174728	−	0.100879i
$582$	−17.3595	+	2.76106i	−0.719574	+	0.114450i
$583$	−2.08072	+	7.76535i	−0.0861746	+	0.321608i
$584$	−6.64127			−0.274818
$585$	19.7448	−	24.2333i	0.816349	−	1.00192i
$586$	31.8274			1.31478
$587$	−0.0597290	+	0.222912i	−0.00246528	+	0.00920054i	−0.967148	−	0.254216i	$-0.918183\pi$
$587$	−0.0597290	+	0.222912i	−0.00246528	+	0.00920054i	0.964682	+	0.263416i	$0.0848493\pi$
$588$	3.95794	−	10.3309i	0.163223	−	0.426038i
$589$	6.04384	+	3.48941i	0.249032	+	0.143779i
$590$	0.589590	+	12.2617i	0.0242730	+	0.504805i
$591$	0.534354	−	5.11607i	0.0219804	−	0.210447i
$592$	0.785636	+	0.210511i	0.0322894	+	0.00865193i
$593$	18.6647	−	18.6647i	0.766466	−	0.766466i	−0.211017	−	0.977482i	$-0.567678\pi$
$593$	18.6647	−	18.6647i	0.766466	−	0.766466i	0.977482	+	0.211017i	$0.0676775\pi$
$594$	3.50599	+	3.87854i	0.143853	+	0.159139i
$595$	0.104553	−	0.481658i	0.00428625	−	0.0197461i
$596$	16.8671	−	9.73822i	0.690903	−	0.398893i
$597$	25.1594	−	20.4008i	1.02971	−	0.834950i
$598$	−0.450989	+	0.120842i	−0.0184423	+	0.00494161i
$599$	12.8260	−	22.2154i	0.524058	−	0.907695i	−0.475550	−	0.879689i	$-0.657751\pi$
$599$	12.8260	−	22.2154i	0.524058	−	0.907695i	0.999608	−	0.0280061i	$-0.00891580\pi$
$600$	−0.207614	+	26.0325i	−0.00847579	+	1.06277i
$601$	−3.63785	−	6.30093i	−0.148391	−	0.257020i	0.782242	−	0.622975i	$-0.214076\pi$
$601$	−3.63785	−	6.30093i	−0.148391	−	0.257020i	−0.930633	+	0.365954i	$0.880743\pi$
$602$	3.96547	+	3.96547i	0.161621	+	0.161621i
$603$	41.1147	−	2.20840i	1.67432	−	0.0899329i
$604$			16.6034i			0.675583i
$605$	−2.12959	+	0.681805i	−0.0865800	+	0.0277193i
$606$	−8.49192	+	11.7041i	−0.344961	+	0.475448i
$607$	−8.72252	−	32.5529i	−0.354036	−	1.32128i	−0.881693	−	0.471824i	$-0.843596\pi$
$607$	−8.72252	−	32.5529i	−0.354036	−	1.32128i	0.527657	−	0.849458i	$-0.323071\pi$
$608$	3.16531	+	11.8131i	0.128370	+	0.479085i
$609$	2.78079	−	3.83267i	0.112683	−	0.155308i
$610$	2.99317	+	1.54139i	0.121190	+	0.0624092i
$611$			22.6061i			0.914547i
$612$	−0.893688	+	0.0480027i	−0.0361252	+	0.00194040i
$613$	27.5159	+	27.5159i	1.11136	+	1.11136i	0.992967	+	0.118389i	$0.0377728\pi$
$613$	27.5159	+	27.5159i	1.11136	+	1.11136i	0.118389	+	0.992967i	$0.462227\pi$
$614$	−3.72160	−	6.44600i	−0.150192	−	0.260140i
$615$	−4.46316	+	6.81788i	−0.179972	+	0.274923i
$616$	1.09675	−	1.89963i	0.0441893	−	0.0765381i
$617$	−43.7122	+	11.7126i	−1.75979	+	0.471533i	−0.986671	−	0.162731i	$-0.947970\pi$
$617$	−43.7122	+	11.7126i	−1.75979	+	0.471533i	−0.773116	+	0.634264i	$0.781303\pi$
$618$	21.0533	−	17.0713i	0.846888	−	0.686709i
$619$	−1.67947	+	0.969641i	−0.0675035	+	0.0389732i	−0.533372	−	0.845881i	$-0.679075\pi$
$619$	−1.67947	+	0.969641i	−0.0675035	+	0.0389732i	0.465868	+	0.884854i	$0.345742\pi$
$620$	−6.10338	−	1.32485i	−0.245118	−	0.0532073i
$621$	0.346985	+	0.383856i	0.0139240	+	0.0154036i
$622$	−14.4429	+	14.4429i	−0.579106	+	0.579106i
$623$	−11.1465	−	2.98670i	−0.446576	−	0.119660i
$624$	0.879916	−	8.42458i	0.0352248	−	0.337253i
$625$	−24.5397	+	4.77517i	−0.981589	+	0.191007i
$626$	0.955778	+	0.551819i	0.0382006	+	0.0220551i
$627$	−1.52907	+	3.99113i	−0.0610652	+	0.159390i
$628$	−3.22092	+	12.0206i	−0.128529	+	0.479675i
$629$	−0.234106			−0.00933444
$630$	−0.500070	−	4.89974i	−0.0199233	−	0.195210i
$631$	−25.0444			−0.997002			−0.498501	−	0.866889i	$-0.666116\pi$
$631$	−25.0444			−0.997002			−0.498501	+	0.866889i	$0.666116\pi$
$632$	−5.19127	+	19.3741i	−0.206498	+	0.770660i
$633$	−1.95863	+	0.311523i	−0.0778484	+	0.0123819i
$634$	4.10464	+	2.36981i	0.163016	+	0.0941174i
$635$	36.5104	−	1.75556i	1.44887	−	0.0696674i
$636$	−11.1306	−	8.07576i	−0.441355	−	0.320225i
$637$	−29.1105	−	7.80013i	−1.15340	−	0.309052i
$638$	−2.66565	+	2.66565i	−0.105534	+	0.105534i
$639$	40.0801	+	8.46478i	1.58554	+	0.334862i
$640$	−3.36636	−	5.23301i	−0.133067	−	0.206853i
$641$	19.6701	−	11.3566i	0.776924	−	0.448557i	−0.0584150	−	0.998292i	$-0.518605\pi$
$641$	19.6701	−	11.3566i	0.776924	−	0.448557i	0.835339	+	0.549735i	$0.185271\pi$
$642$	30.0327	+	11.5061i	1.18530	+	0.454108i
$643$	14.4967	−	3.88439i	0.571696	−	0.153185i	0.0386215	−	0.999254i	$-0.487703\pi$
$643$	14.4967	−	3.88439i	0.571696	−	0.153185i	0.533074	+	0.846069i	$0.321037\pi$
$644$	0.0358809	−	0.0621475i	0.00141390	−	0.00244895i
$645$	28.1012	+	9.24456i	1.10649	+	0.364004i
$646$	0.375005	+	0.649528i	0.0147544	+	0.0255553i
$647$	25.2578	+	25.2578i	0.992985	+	0.992985i	0.999976	−	0.00699014i	$-0.00222505\pi$
$647$	25.2578	+	25.2578i	0.992985	+	0.992985i	−0.00699014	+	0.999976i	$0.502225\pi$
$648$	−25.2324	+	9.76124i	−0.991221	+	0.383458i
$649$		−	5.45617i		−	0.214173i
$650$	23.3349	−	2.24927i	0.915270	−	0.0882236i
$651$	3.55508	+	0.371315i	0.139335	+	0.0145530i
$652$	−0.403321	−	1.50521i	−0.0157953	−	0.0589488i
$653$	3.09707	+	11.5584i	0.121198	+	0.452316i	0.999676	−	0.0254671i	$-0.00810731\pi$
$653$	3.09707	+	11.5584i	0.121198	+	0.452316i	−0.878478	+	0.477783i	$0.841441\pi$
$654$	6.76592	+	15.1699i	0.264568	+	0.593191i
$655$	−0.547050	−	1.70869i	−0.0213750	−	0.0667639i
$656$			2.20814i			0.0862135i
$657$	5.55388	−	3.61702i	0.216678	−	0.141113i
$658$	2.51862	+	2.51862i	0.0981860	+	0.0981860i
$659$	10.8267	+	18.7524i	0.421749	+	0.730490i	0.996111	−	0.0881114i	$-0.0280831\pi$
$659$	10.8267	+	18.7524i	0.421749	+	0.730490i	−0.574362	+	0.818601i	$0.694750\pi$
$660$	0.214167	−	3.81892i	0.00833645	−	0.148651i
$661$	−6.76360	+	11.7149i	−0.263074	+	0.455657i	−0.967057	−	0.254560i	$-0.918070\pi$
$661$	−6.76360	+	11.7149i	−0.263074	+	0.455657i	0.703984	+	0.710216i	$0.251403\pi$
$662$	13.5374	−	3.62733i	0.526146	−	0.140980i
$663$	0.382960	+	2.40777i	0.0148729	+	0.0935101i
$664$	−17.3505	+	10.0173i	−0.673330	+	0.388747i
$665$	3.38610	−	2.17826i	0.131307	−	0.0844692i
$666$	−2.22393	+	0.725801i	−0.0861756	+	0.0281242i
$667$	−0.263817	+	0.263817i	−0.0102151	+	0.0102151i
$668$	11.3732	+	3.04744i	0.440042	+	0.117909i
$669$	37.9984	−	16.9476i	1.46910	−	0.655233i
$670$	22.8583	+	20.7609i	0.883095	+	0.802065i
$671$	−1.29592	−	0.748199i	−0.0500284	−	0.0288839i
$672$	3.94516	+	4.86539i	0.152188	+	0.187687i
$673$	0.707146	−	2.63910i	0.0272585	−	0.101730i	−0.950956	−	0.309325i	$-0.899897\pi$
$673$	0.707146	−	2.63910i	0.0272585	−	0.101730i	0.978215	+	0.207595i	$0.0665636\pi$
$674$	−6.31793			−0.243357
$675$	−14.0044	−	21.8832i	−0.539030	−	0.842286i
$676$	8.60542			0.330978
$677$	9.30622	−	34.7313i	0.357667	−	1.33483i	−0.519428	−	0.854514i	$-0.673855\pi$
$677$	9.30622	−	34.7313i	0.357667	−	1.33483i	0.877095	−	0.480317i	$-0.159478\pi$
$678$	9.02475	+	11.1298i	0.346593	+	0.427438i
$679$	−6.37370	−	3.67986i	−0.244600	−	0.141220i
$680$	−1.50307	−	1.36515i	−0.0576399	−	0.0523511i
$681$	−11.5661	+	5.15856i	−0.443212	+	0.197677i
$682$	−2.74871	−	0.736515i	−0.105254	−	0.0282026i
$683$	−12.0939	+	12.0939i	−0.462762	+	0.462762i	−0.899560	−	0.436798i	$-0.856113\pi$
$683$	−12.0939	+	12.0939i	−0.462762	+	0.462762i	0.436798	+	0.899560i	$0.356113\pi$
$684$	−5.43944	−	4.88489i	−0.207982	−	0.186778i
$685$	33.3766	−	21.4709i	1.27525	−	0.820362i
$686$	−8.56320	+	4.94396i	−0.326944	+	0.188761i
$687$	−0.927422	−	5.83095i	−0.0353834	−	0.222465i
$688$	7.74311	−	2.07476i	0.295203	−	0.0790995i
$689$	−18.7306	+	32.4424i	−0.713581	+	1.23596i
$690$	−0.0217287	+	0.387454i	−0.000827197	+	0.0147501i
$691$	−15.5060	−	26.8572i	−0.589876	−	1.02169i	−0.994248	−	0.107100i	$-0.965843\pi$
$691$	−15.5060	−	26.8572i	−0.589876	−	1.02169i	0.404373	−	0.914594i	$-0.367490\pi$
$692$	1.40525	+	1.40525i	0.0534195	+	0.0534195i
$693$	0.117412	+	2.18592i	0.00446013	+	0.0830362i
$694$		−	34.1645i		−	1.29687i
$695$	15.5099	+	48.4446i	0.588325	+	1.83761i
$696$	−7.94598	−	17.8157i	−0.301192	−	0.675304i
$697$	−0.164497	−	0.613913i	−0.00623079	−	0.0232536i
$698$	−7.11905	−	26.5686i	−0.269460	−	1.00564i
$699$	−23.4333	−	2.44752i	−0.886329	−	0.0925737i
$700$	−2.29162	+	2.78052i	−0.0866150	+	0.105094i
$701$			44.2429i			1.67103i	0.549466	+	0.835516i	$0.314831\pi$
$701$			44.2429i			1.67103i	−0.549466	+	0.835516i	$0.685169\pi$
$702$	11.1028	+	21.6857i	0.419048	+	0.818474i
$703$	−1.35226	−	1.35226i	−0.0510014	−	0.0510014i
$704$	−3.54290	−	6.13648i	−0.133528	−	0.231277i
$705$	17.8481	+	5.87156i	0.672200	+	0.221136i
$706$	6.96990	−	12.0722i	0.262316	−	0.454344i
$707$	−5.84816	+	1.56701i	−0.219943	+	0.0589335i
$708$	8.71535	+	3.33900i	0.327543	+	0.125487i
$709$	−20.5980	+	11.8922i	−0.773572	+	0.446622i	−0.834147	−	0.551541i	$-0.814040\pi$
$709$	−20.5980	+	11.8922i	−0.773572	+	0.446622i	0.0605752	+	0.998164i	$0.480707\pi$
$710$	16.6210	+	25.8374i	0.623776	+	0.969661i
$711$	−6.21038	−	19.0293i	−0.232907	−	0.713653i
$712$	−33.6157	+	33.6157i	−1.25980	+	1.25980i
$713$	−0.272038	−	0.0728923i	−0.0101879	−	0.00272984i
$714$	0.310924	+	0.225590i	0.0116360	+	0.00844251i
$715$	−10.4076	+	0.500437i	−0.389221	+	0.0187153i
$716$	5.36351	+	3.09662i	0.200444	+	0.115726i
$717$	−25.8025	+	4.10394i	−0.963613	+	0.153264i
$718$	−6.56028	+	24.4833i	−0.244828	+	0.913709i
$719$	13.3486			0.497818			0.248909	−	0.968527i	$-0.419928\pi$
$719$	13.3486			0.497818			0.248909	+	0.968527i	$0.419928\pi$
$720$	−6.42288	−	2.88286i	−0.239367	−	0.107438i
$721$	11.3487			0.422647
$722$	3.36227	−	12.5482i	0.125131	−	0.466994i
$723$	−3.42177	+	8.93140i	−0.127257	+	0.332162i
$724$	7.93646	+	4.58212i	0.294956	+	0.170293i
$725$	15.2498	−	10.8799i	0.566364	−	0.404070i
$726$	0.181041	−	1.73334i	0.00671905	−	0.0643302i
$727$	−3.29979	−	0.884175i	−0.122382	−	0.0327922i	0.197108	−	0.980382i	$-0.436845\pi$
$727$	−3.29979	−	0.884175i	−0.122382	−	0.0327922i	−0.319490	+	0.947590i	$0.603512\pi$
$728$	7.22750	−	7.22750i	0.267869	−	0.267869i
$729$	15.7848	−	21.9053i	0.584622	−	0.811306i
$730$	4.85755	+	1.05442i	0.179786	+	0.0390259i
$731$	−1.99820	+	1.15366i	−0.0739059	+	0.0426696i
$732$	1.98819	−	1.61215i	0.0734855	−	0.0595866i
$733$	−8.77046	+	2.35004i	−0.323944	+	0.0868006i	−0.417126	−	0.908848i	$-0.636963\pi$
$733$	−8.77046	+	2.35004i	−0.323944	+	0.0868006i	0.0931822	+	0.995649i	$0.470296\pi$
$734$	4.72653	−	8.18658i	0.174459	−	0.302172i
$735$	−13.7194	+	20.9575i	−0.506046	+	0.773030i
$736$	−0.246771	−	0.427420i	−0.00909609	−	0.0157549i
$737$	−9.70480	−	9.70480i	−0.357481	−	0.357481i
$738$	−3.46599	−	5.32197i	−0.127585	−	0.195904i
$739$		−	15.9086i		−	0.585209i	−0.956234	−	0.292605i	$-0.905478\pi$
$739$		−	15.9086i		−	0.585209i	0.956234	−	0.292605i	$-0.0945219\pi$
$740$	1.52154	+	0.783545i	0.0559328	+	0.0288037i
$741$	−11.6958	+	16.1200i	−0.429657	+	0.592182i
$742$	1.52767	+	5.70135i	0.0560826	+	0.209303i
$743$	1.07730	+	4.02055i	0.0395224	+	0.147500i	0.982867	−	0.184314i	$-0.0590063\pi$
$743$	1.07730	+	4.02055i	0.0395224	+	0.147500i	−0.943345	+	0.331813i	$0.892340\pi$
$744$	8.64762	−	11.9187i	0.317037	−	0.436962i
$745$	−41.9980	+	13.4460i	−1.53869	+	0.492624i
$746$		−	8.96587i		−	0.328264i
$747$	9.05396	−	17.8267i	0.331267	−	0.652246i
$748$	0.210948	+	0.210948i	0.00771302	+	0.00771302i
$749$	6.73293	+	11.6618i	0.246016	+	0.426112i
$750$	4.28498	−	19.0077i	0.156465	−	0.694063i
$751$	−6.89056	+	11.9348i	−0.251440	+	0.435507i	−0.963923	−	0.266183i	$-0.914238\pi$
$751$	−6.89056	+	11.9348i	−0.251440	+	0.435507i	0.712482	+	0.701690i	$0.247571\pi$
$752$	4.91793	−	1.31776i	0.179339	−	0.0480536i
$753$	11.1210	−	9.01762i	0.405273	−	0.328620i
$754$	−15.2130	+	8.78322i	−0.554024	+	0.319866i
$755$	7.97452	−	36.7374i	0.290223	−	1.33701i
$756$	−3.56350	−	1.15017i	−0.129603	−	0.0418311i
$757$	−27.9531	+	27.9531i	−1.01597	+	1.01597i	−0.0161011	+	0.999870i	$0.505125\pi$
$757$	−27.9531	+	27.9531i	−1.01597	+	1.01597i	−0.999870	+	0.0161011i	$0.994875\pi$
$758$	21.5290	+	5.76868i	0.781968	+	0.209528i
$759$	0.0179174	−	0.171547i	0.000650362	−	0.00622676i
$760$	−0.796633	−	16.5675i	−0.0288969	−	0.600967i
$761$	−15.8970	−	9.17813i	−0.576265	−	0.332707i	0.183383	−	0.983042i	$-0.441295\pi$
$761$	−15.8970	−	9.17813i	−0.576265	−	0.332707i	−0.759648	+	0.650335i	$0.774629\pi$
$762$	−10.1921	+	26.6031i	−0.369221	+	0.963728i
$763$	−1.80001	+	6.71773i	−0.0651647	+	0.243198i
$764$	−0.585878			−0.0211963
$765$	2.00046	+	0.323021i	0.0723270	+	0.0116788i
$766$	−4.74956			−0.171609
$767$	6.58036	−	24.5582i	0.237603	−	0.886747i
$768$	29.0306	−	4.61736i	1.04755	−	0.166615i
$769$	41.4796	+	23.9483i	1.49579	+	0.863597i	0.999988	−	0.00483718i	$-0.00153973\pi$
$769$	41.4796	+	23.9483i	1.49579	+	0.863597i	0.495805	+	0.868434i	$0.334873\pi$
$770$	−1.10378	+	1.21529i	−0.0397776	+	0.0437961i
$771$	−26.2966	−	19.0795i	−0.947049	−	0.687130i
$772$	23.7059	+	6.35197i	0.853194	+	0.228613i
$773$	22.1690	−	22.1690i	0.797364	−	0.797364i	−0.185315	−	0.982679i	$-0.559331\pi$
$773$	22.1690	−	22.1690i	0.797364	−	0.797364i	0.982679	+	0.185315i	$0.0593305\pi$
$774$	−15.4055	+	17.1544i	−0.553739	+	0.616601i
$775$	12.8683	+	5.86284i	0.462242	+	0.210599i
$776$	−26.2575	+	15.1598i	−0.942588	+	0.544204i
$777$	−0.914657	−	0.350421i	−0.0328131	−	0.0125713i
$778$	20.5158	−	5.49720i	0.735528	−	0.197084i
$779$	2.59594	−	4.49629i	0.0930091	−	0.161096i
$780$	5.56973	−	16.9307i	0.199428	−	0.606215i
$781$	−6.82737	−	11.8254i	−0.244303	−	0.423144i
$782$	−0.0214021	−	0.0214021i	−0.000765337	−	0.000765337i
$783$	16.3479	+	10.5711i	0.584227	+	0.377782i
$784$			6.78763i			0.242415i
$785$	12.9002	−	25.0503i	0.460427	−	0.894084i
$786$	1.39075	+	0.145259i	0.0496065	+	0.00518121i
$787$	1.61401	+	6.02356i	0.0575332	+	0.214717i	0.988708	−	0.149857i	$-0.0478813\pi$
$787$	1.61401	+	6.02356i	0.0575332	+	0.214717i	−0.931174	+	0.364574i	$0.881215\pi$
$788$	−0.759109	−	2.83303i	−0.0270422	−	0.100923i
$789$	−10.8777	−	24.3891i	−0.387258	−	0.868274i
$790$	6.87298	−	13.3464i	0.244530	−	0.474843i
$791$			5.99948i			0.213317i
$792$	8.04061	+	4.08372i	0.285711	+	0.145109i
$793$	−4.93057	−	4.93057i	−0.175090	−	0.175090i
$794$	−12.2904	−	21.2877i	−0.436172	−	0.755472i
$795$	20.7492	+	23.2147i	0.735897	+	0.823340i
$796$	9.23449	−	15.9946i	0.327308	−	0.566914i
$797$	−15.7431	+	4.21835i	−0.557650	+	0.149422i	−0.526626	−	0.850097i	$-0.676543\pi$
$797$	−15.7431	+	4.21835i	−0.557650	+	0.149422i	−0.0310233	+	0.999519i	$0.509877\pi$
$798$	0.492908	+	3.09904i	0.0174487	+	0.109705i
$799$	−1.26913	+	0.732731i	−0.0448985	+	0.0259222i
$800$	8.68076	+	23.2106i	0.306911	+	0.820619i
$801$	9.80369	−	46.4198i	0.346396	−	1.64016i
$802$	20.9762	−	20.9762i	0.740697	−	0.740697i
$803$	−2.13401	−	0.571805i	−0.0753074	−	0.0201786i
$804$	21.4409	−	9.56282i	0.756162	−	0.337255i
$805$	−0.109241	+	0.120277i	−0.00385022	+	0.00423919i
$806$	−11.4837	−	6.63012i	−0.404496	−	0.233536i
$807$	−19.2067	−	23.6867i	−0.676107	−	0.833813i
$808$	−6.45554	+	24.0924i	−0.227105	+	0.847568i
$809$	40.1249			1.41072			0.705358	−	0.708851i	$-0.250786\pi$
$809$	40.1249			1.41072			0.705358	+	0.708851i	$0.250786\pi$
$810$	20.0052	−	3.13346i	0.702911	−	0.110099i
$811$	2.18935			0.0768784			0.0384392	−	0.999261i	$-0.487761\pi$
$811$	2.18935			0.0768784			0.0384392	+	0.999261i	$0.487761\pi$
$812$	0.698796	−	2.60794i	0.0245229	−	0.0915209i
$813$	17.1473	+	21.1471i	0.601384	+	0.741660i
$814$	0.675318	+	0.389895i	0.0236699	+	0.0136658i
$815$	0.169458	+	3.52421i	0.00593586	+	0.123448i
$816$	0.501484	−	0.223666i	0.0175554	−	0.00782988i
$817$	−18.2059	−	4.87826i	−0.636944	−	0.170669i
$818$	−11.5836	+	11.5836i	−0.405012	+	0.405012i
$819$	−2.10783	+	9.98043i	−0.0736536	+	0.348744i
$820$	−0.985619	+	4.54059i	−0.0344193	+	0.158564i
$821$	−31.9253	+	18.4321i	−1.11420	+	0.643284i	−0.939914	−	0.341411i	$-0.889095\pi$
$821$	−31.9253	+	18.4321i	−1.11420	+	0.643284i	−0.174287	+	0.984695i	$0.555762\pi$
$822$	4.85856	+	30.5470i	0.169462	+	1.06545i
$823$	48.7744	−	13.0691i	1.70017	−	0.455559i	0.727186	−	0.686440i	$-0.240828\pi$
$823$	48.7744	−	13.0691i	1.70017	−	0.455559i	0.972982	+	0.230882i	$0.0741610\pi$
$824$	23.3763	−	40.4890i	0.814354	−	1.41050i
$825$	−2.30808	+	8.34702i	−0.0803570	+	0.290606i
$826$	−2.00297	−	3.46925i	−0.0696922	−	0.120711i
$827$	−8.44587	−	8.44587i	−0.293692	−	0.293692i	0.544845	−	0.838537i	$-0.316588\pi$
$827$	−8.44587	−	8.44587i	−0.293692	−	0.293692i	−0.838537	+	0.544845i	$0.816588\pi$
$828$	0.263054	+	0.133602i	0.00914175	+	0.00464298i
$829$			52.2018i			1.81304i	0.422158	+	0.906522i	$0.361273\pi$
$829$			52.2018i			1.81304i	−0.422158	+	0.906522i	$0.638727\pi$
$830$	14.2809	−	4.57215i	0.495697	−	0.158702i
$831$	11.9140	+	26.7124i	0.413291	+	0.926642i
$832$	−8.54576	−	31.8932i	−0.296271	−	1.10570i
$833$	−0.505650	−	1.88711i	−0.0175197	−	0.0653846i
$834$	−39.4305	−	4.11837i	−1.36537	−	0.142608i
$835$	−23.7011	−	12.2054i	−0.820210	−	0.422384i
$836$			2.43698i			0.0842846i
$837$	−0.740456	+	14.6770i	−0.0255939	+	0.507311i
$838$	8.01312	+	8.01312i	0.276808	+	0.276808i
$839$	−3.33769	−	5.78104i	−0.115230	−	0.199584i	0.802642	−	0.596461i	$-0.203427\pi$
$839$	−3.33769	−	5.78104i	−0.115230	−	0.199584i	−0.917872	+	0.396878i	$0.870094\pi$
$840$	−3.82908	−	7.58352i	−0.132116	−	0.261656i
$841$	7.48141	−	12.9582i	0.257980	−	0.446834i
$842$	12.4217	−	3.32838i	0.428080	−	0.114704i
$843$	41.9780	+	16.0825i	1.44580	+	0.553911i
$844$	−0.979316	+	0.565408i	−0.0337094	+	0.0194621i
$845$	−19.0407	−	4.13314i	−0.655020	−	0.142184i
$846$	−9.78459	+	10.8954i	−0.336401	+	0.374591i
$847$	0.515969	−	0.515969i	0.0177289	−	0.0177289i
$848$	8.14965	+	2.18369i	0.279860	+	0.0749883i
$849$	16.2949	+	11.8227i	0.559238	+	0.405755i
$850$	0.882628	+	1.23714i	0.0302739	+	0.0424334i
$851$	0.0668357	+	0.0385876i	0.00229110	+	0.00132277i
$852$	23.0672	−	3.66888i	0.790270	−	0.125694i
$853$	−10.3150	+	38.4962i	−0.353179	+	1.31808i	0.529581	+	0.848260i	$0.322349\pi$
$853$	−10.3150	+	38.4962i	−0.353179	+	1.31808i	−0.882760	+	0.469824i	$0.844317\pi$
$854$	−1.09866			−0.0375954
$855$	9.68934	+	13.4210i	0.331368	+	0.458990i
$856$	55.4747			1.89609
$857$	8.36104	−	31.2038i	0.285608	−	1.06590i	−0.662786	−	0.748809i	$-0.730626\pi$
$857$	8.36104	−	31.2038i	0.285608	−	1.06590i	0.948394	−	0.317094i	$-0.102707\pi$
$858$	2.90534	−	7.58341i	0.0991866	−	0.258893i
$859$	−40.2219	−	23.2221i	−1.37235	−	0.792329i	−0.381131	−	0.924521i	$-0.624465\pi$
$859$	−40.2219	−	23.2221i	−1.37235	−	0.792329i	−0.991224	+	0.132192i	$0.957799\pi$
$860$	16.8482	−	0.810128i	0.574519	−	0.0276251i
$861$	0.276239	−	2.64479i	0.00941420	−	0.0901343i
$862$	19.5142	+	5.22883i	0.664658	+	0.178094i
$863$	22.6782	−	22.6782i	0.771975	−	0.771975i	−0.206477	−	0.978452i	$-0.566200\pi$
$863$	22.6782	−	22.6782i	0.771975	−	0.771975i	0.978452	+	0.206477i	$0.0661998\pi$
$864$	−19.1045	+	17.2694i	−0.649948	+	0.587518i
$865$	−2.43437	−	3.78424i	−0.0827712	−	0.128668i
$866$	1.84996	−	1.06808i	0.0628644	−	0.0362948i
$867$	22.7481	−	18.4456i	0.772567	−	0.626445i
$868$	1.96864	−	0.527494i	0.0668198	−	0.0179043i
$869$	−3.33617	+	5.77842i	−0.113172	+	0.196019i
$870$	2.98327	+	14.2923i	0.101142	+	0.484556i
$871$	−31.9770	−	55.3857i	−1.08350	−	1.87667i
$872$	20.2593	+	20.2593i	0.686067	+	0.686067i
$873$	13.7019	−	26.9782i	0.463738	−	0.913073i
$874$		−	0.247247i		−	0.00836327i
$875$	6.40599	−	5.05165i	0.216562	−	0.170777i
$876$	2.21931	−	3.05880i	0.0749835	−	0.103347i
$877$	9.69522	+	36.1831i	0.327384	+	1.22182i	0.911893	+	0.410428i	$0.134621\pi$
$877$	9.69522	+	36.1831i	0.327384	+	1.22182i	−0.584509	+	0.811387i	$0.698713\pi$
$878$	−5.77241	−	21.5429i	−0.194810	−	0.727039i
$879$	−32.1745	+	44.3451i	−1.08522	+	1.49572i
$880$	0.715547	+	2.23498i	0.0241211	+	0.0753411i
$881$			22.6041i			0.761553i	0.924667	+	0.380776i	$0.124343\pi$
$881$			22.6041i			0.761553i	−0.924667	+	0.380776i	$0.875657\pi$
$882$	−10.6541	−	16.3593i	−0.358743	−	0.550845i
$883$	−27.4883	−	27.4883i	−0.925057	−	0.925057i	0.0723246	−	0.997381i	$-0.476958\pi$
$883$	−27.4883	−	27.4883i	−0.925057	−	0.925057i	−0.997381	+	0.0723246i	$0.976958\pi$
$884$	0.695066	+	1.20389i	0.0233776	+	0.0404912i
$885$	−17.6802	−	11.5739i	−0.594314	−	0.389054i
$886$	−14.5773	+	25.2486i	−0.489733	+	0.848243i
$887$	28.5023	−	7.63716i	0.957012	−	0.256431i	0.253677	−	0.967289i	$-0.418360\pi$
$887$	28.5023	−	7.63716i	0.957012	−	0.256431i	0.703335	+	0.710858i	$0.251693\pi$
$888$	−3.13424	+	2.54144i	−0.105178	+	0.0852852i
$889$	−10.3300	+	5.96405i	−0.346458	+	0.200028i
$890$	29.9242	−	19.2500i	1.00306	−	0.645263i
$891$	−8.94822	+	0.964054i	−0.299777	+	0.0322970i
$892$	16.7750	−	16.7750i	0.561668	−	0.561668i
$893$	−11.5632	−	3.09836i	−0.386949	−	0.103683i
$894$	3.57034	−	34.1835i	0.119410	−	1.14327i
$895$	−10.3802	−	9.42778i	−0.346973	−	0.315136i
$896$	1.75846	+	1.01525i	0.0587461	+	0.0339171i
$897$	0.287539	−	0.750524i	0.00960065	−	0.0250593i
$898$	−2.55445	+	9.53335i	−0.0852432	+	0.318132i
$899$	−10.5961			−0.353400
$900$	−11.9206	−	8.79490i	−0.397352	−	0.293163i
$901$	−2.42846			−0.0809037
$902$	−0.547928	+	2.04490i	−0.0182440	+	0.0680876i
$903$	−9.53383	+	1.51637i	−0.317266	+	0.0504617i
$904$	21.4045	+	12.3579i	0.711904	+	0.411018i
$905$	−15.3598	−	13.9504i	−0.510576	−	0.463728i
$906$	23.7150	+	17.2064i	0.787878	+	0.571643i
$907$	−7.70274	−	2.06394i	−0.255765	−	0.0685321i	0.128658	−	0.991689i	$-0.458933\pi$
$907$	−7.70274	−	2.06394i	−0.255765	−	0.0685321i	−0.384423	+	0.923157i	$0.625600\pi$
$908$	−5.10601	+	5.10601i	−0.169449	+	0.169449i
$909$	−7.72284	−	23.6636i	−0.256150	−	0.784872i
$910$	−6.43383	+	4.13883i	−0.213279	+	0.137201i
$911$	40.4084	−	23.3298i	1.33879	−	0.772951i	0.352163	−	0.935939i	$-0.385446\pi$
$911$	40.4084	−	23.3298i	1.33879	−	0.772951i	0.986628	+	0.162988i	$0.0521130\pi$
$912$	4.18865	+	1.60474i	0.138700	+	0.0531384i
$913$	−6.43762	+	1.72496i	−0.213054	+	0.0570877i
$914$	−3.77671	+	6.54146i	−0.124923	+	0.216372i
$915$	−5.17345	+	2.61218i	−0.171029	+	0.0863561i
$916$	−1.68325	−	2.91548i	−0.0556163	−	0.0963303i
$917$	0.413990	+	0.413990i	0.0136712	+	0.0136712i
$918$	−0.857580	+	1.32622i	−0.0283043	+	0.0437717i
$919$		−	27.0798i		−	0.893279i	−0.894714	−	0.446639i	$-0.852621\pi$
$919$		−	27.0798i		−	0.893279i	0.894714	−	0.446639i	$-0.147379\pi$
$920$	0.204098	+	0.637490i	0.00672890	+	0.0210174i
$921$	12.7434	+	1.33100i	0.419910	+	0.0438580i
$922$	3.23790	+	12.0840i	0.106635	+	0.397966i
$923$	−16.4682	−	61.4601i	−0.542056	−	2.02298i
$924$	0.508420	+	1.13993i	0.0167258	+	0.0375010i
$925$	−2.99028	−	2.46449i	−0.0983197	−	0.0810319i
$926$			36.5601i			1.20144i
$927$	2.50255	+	46.5911i	0.0821946	+	1.53025i
$928$	−13.1302	−	13.1302i	−0.431019	−	0.431019i
$929$	−28.7737	−	49.8375i	−0.944034	−	1.63511i	−0.757674	−	0.652633i	$-0.773664\pi$
$929$	−28.7737	−	49.8375i	−0.944034	−	1.63511i	−0.186359	−	0.982482i	$-0.559669\pi$
$930$	−8.21734	+	7.34462i	−0.269457	+	0.240839i
$931$	7.97967	−	13.8212i	0.261523	−	0.452971i
$932$	−12.9762	+	3.47697i	−0.425051	+	0.113892i
$933$	−5.52286	−	34.7237i	−0.180810	−	1.13680i
$934$	0.546178	−	0.315336i	0.0178715	−	0.0103181i
$935$	−0.365435	−	0.568069i	−0.0119510	−	0.0185778i
$936$	31.2657	+	28.0781i	1.02195	+	0.917763i
$937$	−21.7536	+	21.7536i	−0.710658	+	0.710658i	−0.966673	−	0.256015i	$-0.917590\pi$
$937$	−21.7536	+	21.7536i	−0.710658	+	0.710658i	0.256015	+	0.966673i	$0.417590\pi$
$938$	−9.73334	−	2.60804i	−0.317805	−	0.0851556i
$939$	−1.73505	+	0.773849i	−0.0566214	+	0.0252536i
$940$	10.7009	−	0.514542i	0.349025	−	0.0167825i
$941$	−1.50882	−	0.871115i	−0.0491860	−	0.0283975i	0.475205	−	0.879875i	$-0.342374\pi$
$941$	−1.50882	−	0.871115i	−0.0491860	−	0.0283975i	−0.524391	+	0.851477i	$0.675707\pi$
$942$	13.8314	+	17.0577i	0.450652	+	0.555769i
$943$	−0.0542280	+	0.202382i	−0.00176591	+	0.00659046i
$944$	−5.72619			−0.186372
$945$	7.33233	+	4.25643i	0.238521	+	0.138462i
$946$	7.68550			0.249877
$947$	6.74871	−	25.1865i	0.219304	−	0.818452i	−0.765304	−	0.643670i	$-0.777411\pi$
$947$	6.74871	−	25.1865i	0.219304	−	0.818452i	0.984607	−	0.174782i	$-0.0559222\pi$
$948$	−7.18846	−	8.86521i	−0.233470	−	0.287929i
$949$	−8.91555	−	5.14739i	−0.289411	−	0.167091i
$950$	−2.04772	+	12.2443i	−0.0664368	+	0.397257i
$951$	−7.45128	+	3.32334i	−0.241624	+	0.107767i
$952$	0.640022	+	0.171493i	0.0207432	+	0.00555814i
$953$	−9.97513	+	9.97513i	−0.323126	+	0.323126i	−0.849965	−	0.526839i	$-0.823377\pi$
$953$	−9.97513	+	9.97513i	−0.323126	+	0.323126i	0.526839	+	0.849965i	$0.323377\pi$
$954$	−23.0695	+	7.52896i	−0.746904	+	0.243759i
$955$	1.29634	+	0.281394i	0.0419485	+	0.00910570i
$956$	−12.9013	+	7.44857i	−0.417258	+	0.240904i
$957$	−1.01933	−	6.40878i	−0.0329502	−	0.207167i
$958$	−12.8455	+	3.44195i	−0.415020	+	0.111204i
$959$	−6.47535	+	11.2156i	−0.209100	+	0.362172i
$960$	−27.4001	−	1.53662i	−0.884335	−	0.0495941i
$961$	11.5007	+	19.9198i	0.370990	+	0.642574i
$962$	2.56938	+	2.56938i	0.0828402	+	0.0828402i
$963$	−46.3917	+	30.2131i	−1.49495	+	0.973603i
$964$			5.45349i			0.175645i
$965$	−49.4018	−	25.4404i	−1.59030	−	0.818957i
$966$	−0.0515826	−	0.115654i	−0.00165964	−	0.00372110i
$967$	1.10063	+	4.10760i	0.0353939	+	0.132092i	0.981362	−	0.192167i	$-0.0615517\pi$
$967$	1.10063	+	4.10760i	0.0353939	+	0.132092i	−0.945968	+	0.324259i	$0.894885\pi$
$968$	−0.778028	−	2.90364i	−0.0250068	−	0.0933266i
$969$	−1.28408	−	0.134118i	−0.0412507	−	0.00430848i
$970$	21.6121	−	6.91929i	0.693923	−	0.222165i
$971$		−	12.4321i		−	0.398965i	−0.979901	−	0.199483i	$-0.936074\pi$
$971$		−	12.4321i		−	0.398965i	0.979901	−	0.199483i	$-0.0639261\pi$
$972$	3.93611	−	14.8833i	0.126251	−	0.477382i
$973$	−11.7374	−	11.7374i	−0.376285	−	0.376285i
$974$	−8.07091	−	13.9792i	−0.258609	−	0.447923i
$975$	−20.4555	+	34.7863i	−0.655101	+	1.11405i
$976$	−0.785227	+	1.36005i	−0.0251345	+	0.0435342i
$977$	−20.1580	+	5.40133i	−0.644913	+	0.172804i	−0.566428	−	0.824111i	$-0.691675\pi$
$977$	−20.1580	+	5.40133i	−0.644913	+	0.172804i	−0.0784853	+	0.996915i	$0.525008\pi$
$978$	−2.56790	−	0.983806i	−0.0821123	−	0.0314587i
$979$	−13.6958	+	7.90729i	−0.437721	+	0.252718i
$980$	−3.02970	+	13.9574i	−0.0967803	+	0.445852i
$981$	−27.9760	−	5.90843i	−0.893205	−	0.188642i
$982$	9.71141	−	9.71141i	0.309903	−	0.309903i
$983$	−18.1150	−	4.85390i	−0.577779	−	0.154816i	−0.0419174	−	0.999121i	$-0.513347\pi$
$983$	−18.1150	−	4.85390i	−0.577779	−	0.154816i	−0.535862	+	0.844306i	$0.680013\pi$
$984$	−8.86690	−	6.43337i	−0.282666	−	0.205088i
$985$	0.318945	+	6.63308i	0.0101624	+	0.211348i
$986$	−0.986195	−	0.569380i	−0.0314069	−	0.0181328i
$987$	−6.05529	+	0.963104i	−0.192742	+	0.0306559i
$988$	−2.93909	+	10.9688i	−0.0935049	+	0.348965i
$989$	0.760627			0.0241865
$990$	−5.23269	−	4.26350i	−0.166306	−	0.135503i
$991$	4.81990			0.153109			0.0765546	−	0.997065i	$-0.475608\pi$
$991$	4.81990			0.153109			0.0765546	+	0.997065i	$0.475608\pi$
$992$	3.62784	−	13.5393i	0.115184	−	0.429873i
$993$	−8.63109	+	22.5286i	−0.273899	+	0.714923i
$994$	−8.68222	−	5.01268i	−0.275383	−	0.158993i
$995$	−28.1147	+	30.9550i	−0.891297	+	0.981340i
$996$	1.18428	−	11.3387i	0.0375255	−	0.359280i
$997$	19.2815	+	5.16647i	0.610652	+	0.163624i	0.550874	−	0.834588i	$-0.314294\pi$
$997$	19.2815	+	5.16647i	0.610652	+	0.163624i	0.0597772	+	0.998212i	$0.480961\pi$
$998$	−22.6451	+	22.6451i	−0.716818	+	0.716818i
$999$	1.23693	−	3.83232i	0.0391347	−	0.121249i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	495.2.bc.d.23.20	yes	116
5.2	odd	4		495.2.bc.c.122.20	✓	116
9.2	odd	6		495.2.bc.c.353.20	yes	116
45.2	even	12	inner	495.2.bc.d.452.20	yes	116

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
495.2.bc.c.122.20	✓	116	5.2	odd	4
495.2.bc.c.353.20	yes	116	9.2	odd	6
495.2.bc.d.23.20	yes	116	1.1	even	1	trivial
495.2.bc.d.452.20	yes	116	45.2	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:	\( N \)	\(=\)	\( 495 = 3^{2} \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	495.bc (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.260420 - 0.971901i) q^{2} +(1.09089 + 1.34535i) q^{3} +(0.855277 + 0.493795i) q^{4} +(-1.65525 - 1.50337i) q^{5} +(1.59163 - 0.709883i) q^{6} +(0.704826 + 0.188858i) q^{7} +(2.12561 - 2.12561i) q^{8} +(-0.619915 + 2.93525i) q^{9} +O(q^{10})\)	\(q+(0.260420 - 0.971901i) q^{2} +(1.09089 + 1.34535i) q^{3} +(0.855277 + 0.493795i) q^{4} +(-1.65525 - 1.50337i) q^{5} +(1.59163 - 0.709883i) q^{6} +(0.704826 + 0.188858i) q^{7} +(2.12561 - 2.12561i) q^{8} +(-0.619915 + 2.93525i) q^{9} +(-1.89219 + 1.21723i) q^{10} +(0.866025 - 0.500000i) q^{11} +(0.268689 + 1.68932i) q^{12} +(4.50100 - 1.20604i) q^{13} +(0.367102 - 0.635839i) q^{14} +(0.216859 - 3.86691i) q^{15} +(-0.524745 - 0.908885i) q^{16} +(0.213599 + 0.213599i) q^{17} +(2.69134 + 1.36690i) q^{18} +2.46760i q^{19} +(-0.673343 - 2.10316i) q^{20} +(0.514809 + 1.15426i) q^{21} +(-0.260420 - 0.971901i) q^{22} +(-0.0257736 - 0.0961883i) q^{23} +(5.17850 + 0.540875i) q^{24} +(0.479731 + 4.97693i) q^{25} -4.68861i q^{26} +(-4.62519 + 2.36804i) q^{27} +(0.509565 + 0.509565i) q^{28} +(-1.87331 - 3.24467i) q^{29} +(-3.70178 - 1.21779i) q^{30} +(1.41409 - 2.44928i) q^{31} +(4.78728 - 1.28275i) q^{32} +(1.61741 + 0.619659i) q^{33} +(0.263222 - 0.151972i) q^{34} +(-0.882742 - 1.37222i) q^{35} +(-1.97961 + 2.20434i) q^{36} +(-0.548005 + 0.548005i) q^{37} +(2.39826 + 0.642613i) q^{38} +(6.53265 + 4.73975i) q^{39} +(-6.71402 + 0.322837i) q^{40} +(-1.82213 - 1.05201i) q^{41} +(1.25589 - 0.199752i) q^{42} +(-1.97692 + 7.37798i) q^{43} +0.987589 q^{44} +(5.43890 - 3.92662i) q^{45} -0.100198 q^{46} +(-1.25562 + 4.68603i) q^{47} +(0.650326 - 1.69746i) q^{48} +(-5.60107 - 3.23378i) q^{49} +(4.96202 + 0.829843i) q^{50} +(-0.0543515 + 0.520377i) q^{51} +(4.44514 + 1.19107i) q^{52} +(-5.68463 + 5.68463i) q^{53} +(1.09701 + 5.11191i) q^{54} +(-2.18518 - 0.474334i) q^{55} +(1.89963 - 1.09675i) q^{56} +(-3.31978 + 2.69188i) q^{57} +(-3.64135 + 0.975696i) q^{58} +(2.72808 - 4.72518i) q^{59} +(2.09493 - 3.20019i) q^{60} +(-0.748199 - 1.29592i) q^{61} +(-2.01220 - 2.01220i) q^{62} +(-0.991277 + 1.95177i) q^{63} -7.08580i q^{64} +(-9.26343 - 4.77039i) q^{65} +(1.02345 - 1.41059i) q^{66} +(-3.55220 - 13.2570i) q^{67} +(0.0772123 + 0.288160i) q^{68} +(0.101290 - 0.139605i) q^{69} +(-1.56355 + 0.500584i) q^{70} -13.6547i q^{71} +(4.92151 + 7.55691i) q^{72} +(-1.56220 - 1.56220i) q^{73} +(0.389895 + 0.675318i) q^{74} +(-6.17237 + 6.07469i) q^{75} +(-1.21849 + 2.11048i) q^{76} +(0.704826 - 0.188858i) q^{77} +(6.30780 - 5.11476i) q^{78} +(-5.77842 + 3.33617i) q^{79} +(-0.497808 + 2.29332i) q^{80} +(-8.23141 - 3.63921i) q^{81} +(-1.49697 + 1.49697i) q^{82} +(-6.43762 - 1.72496i) q^{83} +(-0.129662 + 1.24142i) q^{84} +(-0.0324413 - 0.674679i) q^{85} +(6.65583 + 3.84275i) q^{86} +(2.32163 - 6.05983i) q^{87} +(0.778028 - 2.90364i) q^{88} -15.8146 q^{89} +(-2.39989 - 6.30865i) q^{90} +3.40019 q^{91} +(0.0254537 - 0.0949945i) q^{92} +(4.83774 - 0.769451i) q^{93} +(4.22737 + 2.44067i) q^{94} +(3.70973 - 4.08451i) q^{95} +(6.94814 + 5.04122i) q^{96} +(-9.74242 - 2.61047i) q^{97} +(-4.60154 + 4.60154i) q^{98} +(0.930764 + 2.85196i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 116 q - 2 q^{2} + 6 q^{4} - 2 q^{5} - 2 q^{6} - 10 q^{7} + 2 q^{8} + 16 q^{9}+O(q^{10}) \) 116 * q - 2 * q^2 + 6 * q^4 - 2 * q^5 - 2 * q^6 - 10 * q^7 + 2 * q^8 + 16 * q^9	\( 116 q - 2 q^{2} + 6 q^{4} - 2 q^{5} - 2 q^{6} - 10 q^{7} + 2 q^{8} + 16 q^{9} + 6 q^{10} - 8 q^{12} + 12 q^{13} - 10 q^{14} + 20 q^{15} + 62 q^{16} - 8 q^{17} - 54 q^{18} + 6 q^{20} - 10 q^{21} + 2 q^{22} - 14 q^{23} - 62 q^{24} - 12 q^{25} + 30 q^{27} + 18 q^{28} - 2 q^{29} - 18 q^{30} - 2 q^{31} - 48 q^{32} + 4 q^{33} - 24 q^{34} + 2 q^{35} + 24 q^{36} - 14 q^{37} - 6 q^{38} + 4 q^{39} + 98 q^{40} + 6 q^{41} - 44 q^{42} + 26 q^{43} - 120 q^{44} - 18 q^{45} - 44 q^{46} - 2 q^{47} - 20 q^{48} - 18 q^{49} - 20 q^{50} - 8 q^{51} + 102 q^{52} - 44 q^{53} + 28 q^{54} + 2 q^{55} + 42 q^{56} - 48 q^{57} - 16 q^{58} + 22 q^{59} - 8 q^{60} - 10 q^{61} - 16 q^{62} - 26 q^{63} - 108 q^{65} + 6 q^{66} - 36 q^{67} - 72 q^{68} - 76 q^{69} - 134 q^{70} + 30 q^{72} + 12 q^{73} - 8 q^{74} + 20 q^{75} - 6 q^{76} - 10 q^{77} + 210 q^{78} - 6 q^{79} + 4 q^{80} + 44 q^{81} - 50 q^{82} + 24 q^{83} + 222 q^{84} + 54 q^{85} + 90 q^{86} - 32 q^{87} - 4 q^{88} + 8 q^{89} - 74 q^{90} + 72 q^{91} + 18 q^{92} - 98 q^{93} + 42 q^{94} + 54 q^{95} + 68 q^{96} + 18 q^{97} + 16 q^{98} - 4 q^{99}+O(q^{100}) \) 116 * q - 2 * q^2 + 6 * q^4 - 2 * q^5 - 2 * q^6 - 10 * q^7 + 2 * q^8 + 16 * q^9 + 6 * q^10 - 8 * q^12 + 12 * q^13 - 10 * q^14 + 20 * q^15 + 62 * q^16 - 8 * q^17 - 54 * q^18 + 6 * q^20 - 10 * q^21 + 2 * q^22 - 14 * q^23 - 62 * q^24 - 12 * q^25 + 30 * q^27 + 18 * q^28 - 2 * q^29 - 18 * q^30 - 2 * q^31 - 48 * q^32 + 4 * q^33 - 24 * q^34 + 2 * q^35 + 24 * q^36 - 14 * q^37 - 6 * q^38 + 4 * q^39 + 98 * q^40 + 6 * q^41 - 44 * q^42 + 26 * q^43 - 120 * q^44 - 18 * q^45 - 44 * q^46 - 2 * q^47 - 20 * q^48 - 18 * q^49 - 20 * q^50 - 8 * q^51 + 102 * q^52 - 44 * q^53 + 28 * q^54 + 2 * q^55 + 42 * q^56 - 48 * q^57 - 16 * q^58 + 22 * q^59 - 8 * q^60 - 10 * q^61 - 16 * q^62 - 26 * q^63 - 108 * q^65 + 6 * q^66 - 36 * q^67 - 72 * q^68 - 76 * q^69 - 134 * q^70 + 30 * q^72 + 12 * q^73 - 8 * q^74 + 20 * q^75 - 6 * q^76 - 10 * q^77 + 210 * q^78 - 6 * q^79 + 4 * q^80 + 44 * q^81 - 50 * q^82 + 24 * q^83 + 222 * q^84 + 54 * q^85 + 90 * q^86 - 32 * q^87 - 4 * q^88 + 8 * q^89 - 74 * q^90 + 72 * q^91 + 18 * q^92 - 98 * q^93 + 42 * q^94 + 54 * q^95 + 68 * q^96 + 18 * q^97 + 16 * q^98 - 4 * q^99

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