LMFDB - Embedded newform 966.2.r.b.113.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(113,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 0, 13]))

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

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

chi := DirichletCharacter("966.113");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.r (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$24$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			113.13
Character	$\chi$	$=$	966.113
Dual form			966.2.r.b.701.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.540641 - 0.841254i) q^{2} +(-1.58317 - 0.702554i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(1.47166 + 0.432119i) q^{5} +(-1.44695 + 0.952016i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(-0.989821 - 0.142315i) q^{8} +(2.01284 + 2.22452i) q^{9} +O(q^{10})$	\(q+(0.540641 - 0.841254i) q^{2} +(-1.58317 - 0.702554i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(1.47166 + 0.432119i) q^{5} +(-1.44695 + 0.952016i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(-0.989821 - 0.142315i) q^{8} +(2.01284 + 2.22452i) q^{9} +(1.15916 - 1.00442i) q^{10} +(-4.02571 + 2.58716i) q^{11} +(0.0186059 + 1.73195i) q^{12} +(3.32052 + 3.83209i) q^{13} +(-0.959493 + 0.281733i) q^{14} +(-2.02630 - 1.71804i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(-0.822964 + 1.80204i) q^{17} +(2.95961 - 0.490639i) q^{18} +(-5.65727 + 2.58359i) q^{19} +(-0.218281 - 1.51818i) q^{20} +(0.736403 + 1.56771i) q^{21} +4.78537i q^{22} +(1.11914 + 4.66342i) q^{23} +(1.46707 + 0.920711i) q^{24} +(-2.22721 - 1.43134i) q^{25} +(5.01897 - 0.721619i) q^{26} +(-1.62381 - 4.93591i) q^{27} +(-0.281733 + 0.959493i) q^{28} +(2.37958 + 1.08672i) q^{29} +(-2.54081 + 0.775790i) q^{30} +(0.789658 - 5.49220i) q^{31} +(0.281733 + 0.959493i) q^{32} +(8.19099 - 1.26764i) q^{33} +(1.07104 + 1.66658i) q^{34} +(-0.829230 - 1.29031i) q^{35} +(1.18733 - 2.75504i) q^{36} +(0.902936 + 3.07512i) q^{37} +(-0.885098 + 6.15599i) q^{38} +(-2.56469 - 8.39968i) q^{39} +(-1.39519 - 0.637160i) q^{40} +(-2.42026 + 8.24266i) q^{41} +(1.71697 + 0.228066i) q^{42} +(4.26663 - 0.613449i) q^{43} +(4.02571 + 2.58716i) q^{44} +(2.00096 + 4.14353i) q^{45} +(4.52818 + 1.57975i) q^{46} +7.86753i q^{47} +(1.56771 - 0.736403i) q^{48} +(0.142315 + 0.989821i) q^{49} +(-2.40824 + 1.09980i) q^{50} +(2.56892 - 2.27475i) q^{51} +(2.10639 - 4.61236i) q^{52} +(-4.60242 + 5.31148i) q^{53} +(-5.03025 - 1.30252i) q^{54} +(-7.04244 + 2.06785i) q^{55} +(0.654861 + 0.755750i) q^{56} +(10.7715 - 0.115716i) q^{57} +(2.20070 - 1.41431i) q^{58} +(11.2971 - 9.78900i) q^{59} +(-0.721027 + 2.55689i) q^{60} +(11.2272 + 1.61423i) q^{61} +(-4.19341 - 3.63361i) q^{62} +(-0.0644489 - 2.99931i) q^{63} +(0.959493 + 0.281733i) q^{64} +(3.23077 + 7.07440i) q^{65} +(3.36198 - 7.57603i) q^{66} +(0.714523 - 1.11182i) q^{67} +1.98106 q^{68} +(1.50452 - 8.16924i) q^{69} -1.53379 q^{70} +(-6.86593 + 10.6836i) q^{71} +(-1.67577 - 2.48833i) q^{72} +(-5.50379 - 12.0516i) q^{73} +(3.07512 + 0.902936i) q^{74} +(2.52045 + 3.83078i) q^{75} +(4.70023 + 4.07277i) q^{76} +(4.73666 + 0.681029i) q^{77} +(-8.45284 - 2.38365i) q^{78} +(-9.23367 + 8.00102i) q^{79} +(-1.29031 + 0.829230i) q^{80} +(-0.896982 + 8.95519i) q^{81} +(5.62568 + 6.49238i) q^{82} +(2.43946 - 0.716290i) q^{83} +(1.12013 - 1.32111i) q^{84} +(-1.98982 + 2.29637i) q^{85} +(1.79065 - 3.92097i) q^{86} +(-3.00379 - 3.39224i) q^{87} +(4.35292 - 1.98791i) q^{88} +(-1.21799 - 8.47132i) q^{89} +(4.56755 + 0.556847i) q^{90} -5.07058i q^{91} +(3.77709 - 2.95526i) q^{92} +(-5.10872 + 8.14029i) q^{93} +(6.61858 + 4.25351i) q^{94} +(-9.44201 + 1.35756i) q^{95} +(0.228066 - 1.71697i) q^{96} +(0.679054 - 2.31265i) q^{97} +(0.909632 + 0.415415i) q^{98} +(-13.8583 - 3.74773i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 4 q^{3} + 24 q^{4} + 4 q^{5} + 4 q^{9}+O(q^{10}) $ 240 * q - 4 * q^3 + 24 * q^4 + 4 * q^5 + 4 * q^9	$ 240 q - 4 q^{3} + 24 q^{4} + 4 q^{5} + 4 q^{9} + 4 q^{12} - 8 q^{13} - 24 q^{14} + 26 q^{15} - 24 q^{16} - 32 q^{17} + 40 q^{18} - 4 q^{20} + 8 q^{23} + 12 q^{25} + 116 q^{27} + 4 q^{30} + 16 q^{31} + 2 q^{33} - 4 q^{36} + 22 q^{37} + 8 q^{39} - 154 q^{41} - 4 q^{42} + 22 q^{43} - 24 q^{45} + 4 q^{46} - 4 q^{48} + 24 q^{49} - 88 q^{50} - 24 q^{51} + 8 q^{52} + 108 q^{53} + 12 q^{54} - 16 q^{55} + 24 q^{56} - 70 q^{57} - 4 q^{58} - 22 q^{59} - 26 q^{60} + 4 q^{63} + 24 q^{64} - 76 q^{66} - 44 q^{67} + 32 q^{68} - 86 q^{69} + 4 q^{70} + 4 q^{72} - 12 q^{73} + 16 q^{74} - 26 q^{75} - 78 q^{78} + 4 q^{80} - 168 q^{81} + 8 q^{82} - 16 q^{83} - 28 q^{85} - 16 q^{86} + 156 q^{87} - 24 q^{89} - 126 q^{90} - 8 q^{92} - 16 q^{93} - 8 q^{94} + 132 q^{97} - 172 q^{99}+O(q^{100}) $ 240 * q - 4 * q^3 + 24 * q^4 + 4 * q^5 + 4 * q^9 + 4 * q^12 - 8 * q^13 - 24 * q^14 + 26 * q^15 - 24 * q^16 - 32 * q^17 + 40 * q^18 - 4 * q^20 + 8 * q^23 + 12 * q^25 + 116 * q^27 + 4 * q^30 + 16 * q^31 + 2 * q^33 - 4 * q^36 + 22 * q^37 + 8 * q^39 - 154 * q^41 - 4 * q^42 + 22 * q^43 - 24 * q^45 + 4 * q^46 - 4 * q^48 + 24 * q^49 - 88 * q^50 - 24 * q^51 + 8 * q^52 + 108 * q^53 + 12 * q^54 - 16 * q^55 + 24 * q^56 - 70 * q^57 - 4 * q^58 - 22 * q^59 - 26 * q^60 + 4 * q^63 + 24 * q^64 - 76 * q^66 - 44 * q^67 + 32 * q^68 - 86 * q^69 + 4 * q^70 + 4 * q^72 - 12 * q^73 + 16 * q^74 - 26 * q^75 - 78 * q^78 + 4 * q^80 - 168 * q^81 + 8 * q^82 - 16 * q^83 - 28 * q^85 - 16 * q^86 + 156 * q^87 - 24 * q^89 - 126 * q^90 - 8 * q^92 - 16 * q^93 - 8 * q^94 + 132 * q^97 - 172 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$-1$	$1$	$e\left(\frac{13}{22}\right)$

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 $

$2$	0.540641	−	0.841254i	0.382291	−	0.594856i
$2$	0.540641	−	0.841254i	0.382291	−	0.594856i
$3$	−1.58317	−	0.702554i	−0.914042	−	0.405620i
$3$	−1.58317	−	0.702554i	−0.914042	−	0.405620i
$4$	−0.415415	−	0.909632i	−0.207708	−	0.454816i
$5$	1.47166	+	0.432119i	0.658147	+	0.193249i	0.593718	−	0.804673i	$-0.297659\pi$
$5$	1.47166	+	0.432119i	0.658147	+	0.193249i	0.0644287	+	0.997922i	$0.479477\pi$
$6$	−1.44695	+	0.952016i	−0.590715	+	0.388659i
$7$	−0.755750	−	0.654861i	−0.285646	−	0.247514i
$7$	−0.755750	−	0.654861i	−0.285646	−	0.247514i
$8$	−0.989821	−	0.142315i	−0.349955	−	0.0503159i
$9$	2.01284	+	2.22452i	0.670945	+	0.741507i
$10$	1.15916	−	1.00442i	0.366559	−	0.317625i
$11$	−4.02571	+	2.58716i	−1.21380	+	0.780059i	−0.981290	−	0.192536i	$-0.938329\pi$
$11$	−4.02571	+	2.58716i	−1.21380	+	0.780059i	−0.232506	+	0.972595i	$0.574693\pi$
$12$	0.0186059	+	1.73195i	0.00537106	+	0.499971i
$13$	3.32052	+	3.83209i	0.920947	+	1.06283i	0.997833	+	0.0657900i	$0.0209567\pi$
$13$	3.32052	+	3.83209i	0.920947	+	1.06283i	−0.0768862	+	0.997040i	$0.524498\pi$
$14$	−0.959493	+	0.281733i	−0.256435	+	0.0752962i
$15$	−2.02630	−	1.71804i	−0.523188	−	0.443596i
$16$	−0.654861	+	0.755750i	−0.163715	+	0.188937i
$17$	−0.822964	+	1.80204i	−0.199598	+	0.437059i	−0.982791	−	0.184720i	$-0.940862\pi$
$17$	−0.822964	+	1.80204i	−0.199598	+	0.437059i	0.783193	+	0.621778i	$0.213590\pi$
$18$	2.95961	−	0.490639i	0.697586	−	0.115645i
$19$	−5.65727	+	2.58359i	−1.29787	+	0.592716i	−0.940038	−	0.341071i	$-0.889210\pi$
$19$	−5.65727	+	2.58359i	−1.29787	+	0.592716i	−0.357830	+	0.933787i	$0.616483\pi$
$20$	−0.218281	−	1.51818i	−0.0488092	−	0.339475i
$21$	0.736403	+	1.56771i	0.160696	+	0.342102i
$22$			4.78537i			1.02024i
$23$	1.11914	+	4.66342i	0.233357	+	0.972391i
$23$	1.11914	+	4.66342i	0.233357	+	0.972391i
$24$	1.46707	+	0.920711i	0.299464	+	0.187939i
$25$	−2.22721	−	1.43134i	−0.445441	−	0.286268i
$26$	5.01897	−	0.721619i	0.984300	−	0.141521i
$27$	−1.62381	−	4.93591i	−0.312502	−	0.949917i
$28$	−0.281733	+	0.959493i	−0.0532424	+	0.181327i
$29$	2.37958	+	1.08672i	0.441877	+	0.201798i	0.623913	−	0.781493i	$-0.285542\pi$
$29$	2.37958	+	1.08672i	0.441877	+	0.201798i	−0.182037	+	0.983292i	$0.558269\pi$
$30$	−2.54081	+	0.775790i	−0.463886	+	0.141639i
$31$	0.789658	−	5.49220i	0.141827	−	0.986427i	−0.787275	−	0.616603i	$-0.788509\pi$
$31$	0.789658	−	5.49220i	0.141827	−	0.986427i	0.929101	−	0.369825i	$-0.120582\pi$
$32$	0.281733	+	0.959493i	0.0498038	+	0.169616i
$33$	8.19099	−	1.26764i	1.42587	−	0.220667i
$34$	1.07104	+	1.66658i	0.183682	+	0.285816i
$35$	−0.829230	−	1.29031i	−0.140165	−	0.218102i
$36$	1.18733	−	2.75504i	0.197889	−	0.459173i
$37$	0.902936	+	3.07512i	0.148442	+	0.505546i	0.999819	−	0.0190071i	$-0.00605052\pi$
$37$	0.902936	+	3.07512i	0.148442	+	0.505546i	−0.851378	+	0.524553i	$0.824232\pi$
$38$	−0.885098	+	6.15599i	−0.143582	+	0.998634i
$39$	−2.56469	−	8.39968i	−0.410680	−	1.34503i
$40$	−1.39519	−	0.637160i	−0.220598	−	0.100744i
$41$	−2.42026	+	8.24266i	−0.377982	+	1.28729i	0.522591	+	0.852583i	$0.324965\pi$
$41$	−2.42026	+	8.24266i	−0.377982	+	1.28729i	−0.900573	+	0.434705i	$0.856853\pi$
$42$	1.71697	+	0.228066i	0.264934	+	0.0351913i
$43$	4.26663	−	0.613449i	0.650655	−	0.0935500i	0.190919	−	0.981606i	$-0.438853\pi$
$43$	4.26663	−	0.613449i	0.650655	−	0.0935500i	0.459736	+	0.888056i	$0.347944\pi$
$44$	4.02571	+	2.58716i	0.606898	+	0.390030i
$45$	2.00096	+	4.14353i	0.298285	+	0.617680i
$46$	4.52818	+	1.57975i	0.667643	+	0.232922i
$47$			7.86753i			1.14760i	0.818997	+	0.573798i	$0.194531\pi$
$47$			7.86753i			1.14760i	−0.818997	+	0.573798i	$0.805469\pi$
$48$	1.56771	−	0.736403i	0.226279	−	0.106291i
$49$	0.142315	+	0.989821i	0.0203307	+	0.141403i
$50$	−2.40824	+	1.09980i	−0.340576	+	0.155536i
$51$	2.56892	−	2.27475i	0.359720	−	0.318529i
$52$	2.10639	−	4.61236i	0.292104	−	0.639619i
$53$	−4.60242	+	5.31148i	−0.632191	+	0.729588i	−0.977974	−	0.208727i	$-0.933068\pi$
$53$	−4.60242	+	5.31148i	−0.632191	+	0.729588i	0.345783	+	0.938315i	$0.387613\pi$
$54$	−5.03025	−	1.30252i	−0.684531	−	0.177251i
$55$	−7.04244	+	2.06785i	−0.949602	+	0.278828i
$56$	0.654861	+	0.755750i	0.0875094	+	0.100991i
$57$	10.7715	−	0.115716i	1.42672	−	0.0153269i
$58$	2.20070	−	1.41431i	0.288966	−	0.185707i
$59$	11.2971	−	9.78900i	1.47076	−	1.27442i	0.584360	−	0.811494i	$-0.301345\pi$
$59$	11.2971	−	9.78900i	1.47076	−	1.27442i	0.886398	−	0.462925i	$-0.153200\pi$
$60$	−0.721027	+	2.55689i	−0.0930842	+	0.330093i
$61$	11.2272	+	1.61423i	1.43750	+	0.206681i	0.816599	−	0.577206i	$-0.195857\pi$
$61$	11.2272	+	1.61423i	1.43750	+	0.206681i	0.620903	+	0.783888i	$0.286766\pi$
$62$	−4.19341	−	3.63361i	−0.532563	−	0.461469i
$63$	−0.0644489	−	2.99931i	−0.00811980	−	0.377877i
$64$	0.959493	+	0.281733i	0.119937	+	0.0352166i
$65$	3.23077	+	7.07440i	0.400728	+	0.877471i
$66$	3.36198	−	7.57603i	0.413831	−	0.932545i
$67$	0.714523	−	1.11182i	0.0872929	−	0.135830i	−0.794861	−	0.606791i	$-0.792456\pi$
$67$	0.714523	−	1.11182i	0.0872929	−	0.135830i	0.882154	+	0.470961i	$0.156093\pi$
$68$	1.98106			0.240239
$69$	1.50452	−	8.16924i	0.181123	−	0.983461i
$70$	−1.53379			−0.183323
$71$	−6.86593	+	10.6836i	−0.814836	+	1.26791i	0.145582	+	0.989346i	$0.453495\pi$
$71$	−6.86593	+	10.6836i	−0.814836	+	1.26791i	−0.960418	+	0.278563i	$0.910142\pi$
$72$	−1.67577	−	2.48833i	−0.197491	−	0.293253i
$73$	−5.50379	−	12.0516i	−0.644170	−	1.41054i	−0.896565	−	0.442912i	$-0.853945\pi$
$73$	−5.50379	−	12.0516i	−0.644170	−	1.41054i	0.252395	−	0.967624i	$-0.418782\pi$
$74$	3.07512	+	0.902936i	0.357475	+	0.104964i
$75$	2.52045	+	3.83078i	0.291036	+	0.442340i
$76$	4.70023	+	4.07277i	0.539154	+	0.467179i
$77$	4.73666	+	0.681029i	0.539792	+	0.0776104i
$78$	−8.45284	−	2.38365i	−0.957096	−	0.269895i
$79$	−9.23367	+	8.00102i	−1.03887	+	0.900185i	−0.995102	−	0.0988563i	$-0.968482\pi$
$79$	−9.23367	+	8.00102i	−1.03887	+	0.900185i	−0.0437677	+	0.999042i	$0.513936\pi$
$80$	−1.29031	+	0.829230i	−0.144261	+	0.0927107i
$81$	−0.896982	+	8.95519i	−0.0996647	+	0.995021i
$82$	5.62568	+	6.49238i	0.621252	+	0.716963i
$83$	2.43946	−	0.716290i	0.267765	−	0.0786230i	−0.145094	−	0.989418i	$-0.546348\pi$
$83$	2.43946	−	0.716290i	0.267765	−	0.0786230i	0.412859	+	0.910795i	$0.364530\pi$
$84$	1.12013	−	1.32111i	0.122216	−	0.144144i
$85$	−1.98982	+	2.29637i	−0.215826	+	0.249077i
$86$	1.79065	−	3.92097i	0.193091	−	0.422809i
$87$	−3.00379	−	3.39224i	−0.322040	−	0.363686i
$88$	4.35292	−	1.98791i	0.464023	−	0.211912i
$89$	−1.21799	−	8.47132i	−0.129107	−	0.897958i	−0.946690	−	0.322147i	$-0.895595\pi$
$89$	−1.21799	−	8.47132i	−0.129107	−	0.897958i	0.817583	−	0.575811i	$-0.195314\pi$
$90$	4.56755	+	0.556847i	0.481463	+	0.0586969i
$91$		−	5.07058i		−	0.531541i
$92$	3.77709	−	2.95526i	0.393789	−	0.308108i
$93$	−5.10872	+	8.14029i	−0.529750	+	0.844108i
$94$	6.61858	+	4.25351i	0.682655	+	0.438716i
$95$	−9.44201	+	1.35756i	−0.968730	+	0.139282i
$96$	0.228066	−	1.71697i	0.0232769	−	0.175238i
$97$	0.679054	−	2.31265i	0.0689475	−	0.234814i	−0.917809	−	0.397022i	$-0.870044\pi$
$97$	0.679054	−	2.31265i	0.0689475	−	0.234814i	0.986756	+	0.162209i	$0.0518618\pi$
$98$	0.909632	+	0.415415i	0.0918867	+	0.0419633i
$99$	−13.8583	−	3.74773i	−1.39281	−	0.376661i
$100$	−0.376776	+	2.62054i	−0.0376776	+	0.262054i
$101$	−4.40886	−	15.0152i	−0.438698	−	1.49407i	−0.821485	−	0.570231i	$-0.806854\pi$
$101$	−4.40886	−	15.0152i	−0.438698	−	1.49407i	0.382787	−	0.923837i	$-0.374964\pi$
$102$	−0.524781	−	3.39094i	−0.0519611	−	0.335753i
$103$	4.85646	+	7.55681i	0.478522	+	0.744594i	0.993650	−	0.112519i	$-0.0358919\pi$
$103$	4.85646	+	7.55681i	0.478522	+	0.744594i	−0.515128	+	0.857113i	$0.672256\pi$
$104$	−2.74136	−	4.26564i	−0.268813	−	0.418281i
$105$	0.406299	+	2.62535i	0.0396508	+	0.256208i
$106$	1.98004	+	6.74341i	0.192319	+	0.654978i
$107$	0.411809	−	2.86420i	0.0398111	−	0.276892i	−0.960186	−	0.279362i	$-0.909877\pi$
$107$	0.411809	−	2.86420i	0.0398111	−	0.276892i	0.999997	+	0.00246968i	$0.000786125\pi$
$108$	−3.81531	+	3.52752i	−0.367128	+	0.339436i
$109$	12.6046	+	5.75631i	1.20730	+	0.551355i	0.914409	−	0.404792i	$-0.132656\pi$
$109$	12.6046	+	5.75631i	1.20730	+	0.551355i	0.292889	+	0.956146i	$0.405383\pi$
$110$	−2.06785	+	7.04244i	−0.197161	+	0.671470i
$111$	0.730937	−	5.50279i	0.0693775	−	0.522301i
$112$	0.989821	−	0.142315i	0.0935293	−	0.0134475i
$113$	8.74044	+	5.61714i	0.822231	+	0.528416i	0.882800	−	0.469748i	$-0.155655\pi$
$113$	8.74044	+	5.61714i	0.822231	+	0.528416i	−0.0605693	+	0.998164i	$0.519292\pi$
$114$	5.72618	−	9.12414i	0.536306	−	0.854554i
$115$	−0.368154	+	7.34658i	−0.0343306	+	0.685073i
$116$		−	2.61598i		−	0.242888i
$117$	−1.84089	+	15.0999i	−0.170190	+	1.39599i
$118$	−2.12735	−	14.7961i	−0.195839	−	1.36209i
$119$	1.80204	−	0.822964i	0.165193	−	0.0754409i
$120$	1.76117	+	1.98892i	0.160772	+	0.181563i
$121$	4.94333	−	10.8244i	0.449393	−	0.984034i
$122$	7.42789	−	8.57224i	0.672489	−	0.776094i
$123$	9.62260	−	11.3491i	0.867641	−	1.02332i
$124$	−5.32391	+	1.56324i	−0.478101	+	0.140383i
$125$	−7.68128	−	8.86467i	−0.687035	−	0.792881i
$126$	−2.55802	−	1.56733i	−0.227887	−	0.139629i
$127$	−16.1697	+	10.3916i	−1.43482	+	0.922106i	−0.435060	+	0.900401i	$0.643273\pi$
$127$	−16.1697	+	10.3916i	−1.43482	+	0.922106i	−0.999764	+	0.0217047i	$0.993091\pi$
$128$	0.755750	−	0.654861i	0.0667995	−	0.0578821i
$129$	−7.18577	−	2.02635i	−0.632672	−	0.178410i
$130$	7.69805	+	1.10681i	0.675163	+	0.0970738i
$131$	2.48338	+	2.15186i	0.216974	+	0.188009i	0.756565	−	0.653918i	$-0.226876\pi$
$131$	2.48338	+	2.15186i	0.216974	+	0.188009i	−0.539592	+	0.841927i	$0.681421\pi$
$132$	−4.55574	−	6.92419i	−0.396527	−	0.602673i
$133$	5.96737	+	1.75218i	0.517437	+	0.151933i
$134$	−0.549022	−	1.20219i	−0.0474283	−	0.103853i
$135$	−0.256798	−	7.96567i	−0.0221017	−	0.685576i
$136$	1.07104	−	1.66658i	0.0918412	−	0.142908i
$137$	−14.3856			−1.22904			−0.614521	−	0.788900i	$-0.710651\pi$
$137$	−14.3856			−1.22904			−0.614521	+	0.788900i	$0.710651\pi$
$138$	−6.05900	−	5.68230i	−0.515776	−	0.483710i
$139$	10.8930			0.923928			0.461964	−	0.886899i	$-0.347145\pi$
$139$	10.8930			0.923928			0.461964	+	0.886899i	$0.347145\pi$
$140$	−0.829230	+	1.29031i	−0.0700827	+	0.109051i
$141$	5.52736	−	12.4556i	0.465488	−	1.04895i
$142$	5.27561	+	11.5520i	0.442719	+	0.969420i
$143$	−23.2817	−	6.83612i	−1.94691	−	0.571665i
$144$	−2.99931	+	0.0644489i	−0.249942	+	0.00537075i
$145$	3.03234	+	2.62754i	0.251822	+	0.218205i
$146$	−13.1141	−	1.88552i	−1.08533	−	0.156046i
$147$	0.470095	−	1.66704i	0.0387728	−	0.137495i
$148$	2.42213	−	2.09879i	0.199098	−	0.172519i
$149$	−13.2727	+	8.52984i	−1.08734	+	0.698792i	−0.956242	−	0.292577i	$-0.905487\pi$
$149$	−13.2727	+	8.52984i	−1.08734	+	0.698792i	−0.131100	+	0.991369i	$0.541851\pi$
$150$	4.58531	−	0.0492588i	0.374389	−	0.00402196i
$151$	7.42593	+	8.56998i	0.604313	+	0.697415i	0.972649	−	0.232278i	$-0.0746179\pi$
$151$	7.42593	+	8.56998i	0.604313	+	0.697415i	−0.368336	+	0.929693i	$0.620072\pi$
$152$	5.96737	−	1.75218i	0.484018	−	0.142120i
$153$	−5.66516	+	1.79651i	−0.458001	+	0.145239i
$154$	3.13375	−	3.61654i	0.252525	−	0.291429i
$155$	3.53539	−	7.74143i	0.283969	−	0.621806i
$156$	−6.57521	+	5.82228i	−0.526438	+	0.466156i
$157$	−20.2363	+	9.24159i	−1.61503	+	0.737559i	−0.998751	−	0.0499686i	$-0.984088\pi$
$157$	−20.2363	+	9.24159i	−1.61503	+	0.737559i	−0.616279	+	0.787528i	$0.711361\pi$
$158$	1.73879	+	12.0935i	0.138331	+	0.962110i
$159$	11.0180	−	5.17551i	0.873785	−	0.410445i
$160$			1.53379i			0.121257i
$161$	2.20810	−	4.25726i	0.174023	−	0.335519i
$162$	7.04864	+	5.59613i	0.553793	+	0.439674i
$163$	−9.02579	−	5.80053i	−0.706955	−	0.454332i	0.137122	−	0.990554i	$-0.456215\pi$
$163$	−9.02579	−	5.80053i	−0.706955	−	0.454332i	−0.844077	+	0.536222i	$0.819851\pi$
$164$	8.50321	−	1.22258i	0.663989	−	0.0954672i
$165$	12.6021	+	1.67395i	0.981075	+	0.130317i
$166$	0.716290	−	2.43946i	0.0555949	−	0.189339i
$167$	−8.82938	−	4.03224i	−0.683238	−	0.312024i	0.0433871	−	0.999058i	$-0.486185\pi$
$167$	−8.82938	−	4.03224i	−0.683238	−	0.312024i	−0.726625	+	0.687034i	$0.758912\pi$
$168$	−0.505799	−	1.65655i	−0.0390233	−	0.127806i
$169$	−1.80893	+	12.5814i	−0.139149	+	0.967799i
$170$	0.856055	+	2.91546i	0.0656564	+	0.223605i
$171$	−17.1344	−	7.38437i	−1.31030	−	0.564697i
$172$	−2.33043	−	3.62623i	−0.177694	−	0.276497i
$173$	−10.7780	−	16.7709i	−0.819438	−	1.27507i	−0.958587	−	0.284799i	$-0.908073\pi$
$173$	−10.7780	−	16.7709i	−0.819438	−	1.27507i	0.139149	−	0.990271i	$-0.455563\pi$
$174$	−4.47770	+	0.692970i	−0.339454	+	0.0525339i
$175$	0.745883	+	2.54024i	0.0563834	+	0.192024i
$176$	0.681029	−	4.73666i	0.0513345	−	0.357039i
$177$	−24.7625	+	7.56079i	−1.86126	+	0.568304i
$178$	−7.78502	−	3.55530i	−0.583512	−	0.266481i
$179$	−5.01029	+	17.0635i	−0.374487	+	1.27538i	0.529678	+	0.848199i	$0.322313\pi$
$179$	−5.01029	+	17.0635i	−0.374487	+	1.27538i	−0.904164	+	0.427185i	$0.859505\pi$
$180$	2.93786	−	3.54142i	0.218975	−	0.263962i
$181$	−11.8710	+	1.70680i	−0.882367	+	0.126865i	−0.568580	−	0.822628i	$-0.692507\pi$
$181$	−11.8710	+	1.70680i	−0.882367	+	0.126865i	−0.313787	+	0.949493i	$0.601598\pi$
$182$	−4.26564	−	2.74136i	−0.316190	−	0.203203i
$183$	−16.6405	−	10.4433i	−1.23010	−	0.771994i
$184$	−0.444077	−	4.77523i	−0.0327378	−	0.352034i
$185$			4.91571i			0.361410i
$186$	4.08606	+	8.69870i	0.299604	+	0.637820i
$187$	−1.34916	−	9.38362i	−0.0986604	−	0.686198i
$188$	7.15655	−	3.26829i	0.521945	−	0.238364i
$189$	−2.00514	+	4.79368i	−0.145853	+	0.348689i
$190$	−3.96269	+	8.67707i	−0.287484	+	0.629501i
$191$	4.27621	−	4.93501i	0.309416	−	0.357085i	−0.579649	−	0.814866i	$-0.696810\pi$
$191$	4.27621	−	4.93501i	0.309416	−	0.357085i	0.889065	+	0.457782i	$0.151356\pi$
$192$	−1.32111	−	1.12013i	−0.0953426	−	0.0808381i
$193$	2.66400	−	0.782220i	0.191759	−	0.0563054i	−0.184443	−	0.982843i	$-0.559048\pi$
$193$	2.66400	−	0.782220i	0.191759	−	0.0563054i	0.376202	+	0.926538i	$0.377230\pi$
$194$	−1.57840	−	1.82157i	−0.113322	−	0.130781i
$195$	−0.144702	−	13.4697i	−0.0103623	−	0.964588i
$196$	0.841254	−	0.540641i	0.0600895	−	0.0386172i
$197$	−0.398734	+	0.345505i	−0.0284086	+	0.0246162i	−0.668949	−	0.743308i	$-0.733256\pi$
$197$	−0.398734	+	0.345505i	−0.0284086	+	0.0246162i	0.640541	+	0.767924i	$0.278710\pi$
$198$	−10.6451	+	9.63216i	−0.756517	+	0.684528i
$199$	18.4522	+	2.65302i	1.30804	+	0.188068i	0.760843	−	0.648936i	$-0.224786\pi$
$199$	18.4522	+	2.65302i	1.30804	+	0.188068i	0.547197	+	0.837004i	$0.315695\pi$
$200$	2.00084	+	1.73373i	0.141480	+	0.122594i
$201$	−1.91232	+	1.25821i	−0.134885	+	0.0887470i
$202$	−15.0152	−	4.40886i	−1.05647	−	0.310206i
$203$	−1.08672	−	2.37958i	−0.0762726	−	0.167014i
$204$	−3.13635	−	1.39180i	−0.219589	−	0.0974458i
$205$	−7.12362	+	11.0846i	−0.497535	+	0.774180i
$206$	8.98279			0.625861
$207$	−8.12123	+	11.8763i	−0.564465	+	0.825457i
$208$	−5.07058			−0.351581
$209$	16.0903	−	25.0371i	1.11299	−	1.73185i
$210$	2.42825	+	1.07757i	0.167565	+	0.0743595i
$211$	−10.8734	−	23.8094i	−0.748554	−	1.63910i	−0.768947	−	0.639312i	$-0.779219\pi$
$211$	−10.8734	−	23.8094i	−0.748554	−	1.63910i	0.0203936	−	0.999792i	$-0.493508\pi$
$212$	6.74341	+	1.98004i	0.463139	+	0.135990i
$213$	18.3757	−	12.0902i	1.25908	−	0.828409i
$214$	−2.18687	−	1.89494i	−0.149492	−	0.129535i
$215$	6.54412	+	0.940902i	0.446305	+	0.0641690i
$216$	0.904829	+	5.11677i	0.0615658	+	0.348152i
$217$	−4.19341	+	3.63361i	−0.284667	+	0.246665i
$218$	11.6571	−	7.49154i	0.789515	−	0.507391i
$219$	0.246508	+	22.9465i	0.0166574	+	1.55058i
$220$	4.80652	+	5.54701i	0.324055	+	0.373980i
$221$	−9.63824	+	2.83004i	−0.648338	+	0.190369i
$222$	−4.23406	−	3.58993i	−0.284172	−	0.240941i
$223$	5.84353	−	6.74380i	0.391312	−	0.451598i	−0.525574	−	0.850748i	$-0.676149\pi$
$223$	5.84353	−	6.74380i	0.391312	−	0.451598i	0.916886	+	0.399150i	$0.130695\pi$
$224$	0.415415	−	0.909632i	0.0277561	−	0.0607773i
$225$	−1.29896	−	7.83551i	−0.0865973	−	0.522368i
$226$	9.45087	−	4.31607i	0.628663	−	0.287101i
$227$	0.197343	+	1.37255i	0.0130981	+	0.0910994i	0.995322	−	0.0966144i	$-0.0308014\pi$
$227$	0.197343	+	1.37255i	0.0130981	+	0.0910994i	−0.982224	+	0.187714i	$0.939892\pi$
$228$	−4.57991	−	9.75005i	−0.303312	−	0.645713i
$229$			10.1559i			0.671119i	0.942019	+	0.335559i	$0.108925\pi$
$229$			10.1559i			0.671119i	−0.942019	+	0.335559i	$0.891075\pi$
$230$	5.98130	+	4.28157i	0.394395	+	0.282319i
$231$	−7.02046	−	4.40594i	−0.461912	−	0.289890i
$232$	−2.20070	−	1.41431i	−0.144483	−	0.0928537i
$233$	5.52402	−	0.794235i	0.361891	−	0.0520320i	0.0410287	−	0.999158i	$-0.486936\pi$
$233$	5.52402	−	0.794235i	0.361891	−	0.0520320i	0.320862	+	0.947126i	$0.396027\pi$
$234$	11.7076	+	9.71230i	0.765351	+	0.634913i
$235$	−3.39971	+	11.5783i	−0.221772	+	0.755287i
$236$	−13.5974	−	6.20971i	−0.885114	−	0.404218i
$237$	20.2396	−	6.17980i	1.31470	−	0.401421i
$238$	0.281935	−	1.96090i	0.0182751	−	0.127106i
$239$	3.62979	+	12.3619i	0.234791	+	0.799626i	0.989621	+	0.143705i	$0.0459015\pi$
$239$	3.62979	+	12.3619i	0.234791	+	0.799626i	−0.754829	+	0.655921i	$0.772280\pi$
$240$	2.62535	−	0.406299i	0.169466	−	0.0262265i
$241$	6.35076	+	9.88198i	0.409089	+	0.636554i	0.983266	−	0.182177i	$-0.0583143\pi$
$241$	6.35076	+	9.88198i	0.409089	+	0.636554i	−0.574177	+	0.818731i	$0.694678\pi$
$242$	−6.43348	−	10.0107i	−0.413560	−	0.643512i
$243$	7.71158	−	13.5474i	0.494698	−	0.869065i
$244$	−3.19561	−	10.8832i	−0.204578	−	0.696728i
$245$	−0.218281	+	1.51818i	−0.0139455	+	0.0969929i
$246$	−4.34514	−	14.2309i	−0.277036	−	0.907326i
$247$	−28.6856	−	13.1003i	−1.82522	−	0.833552i
$248$	−1.56324	+	5.32391i	−0.0992660	+	0.338069i
$249$	−4.36530	−	0.579845i	−0.276640	−	0.0367462i
$250$	−11.6103	+	1.66930i	−0.734297	+	0.105576i
$251$	−9.44890	−	6.07244i	−0.596409	−	0.383289i	0.207330	−	0.978271i	$-0.433523\pi$
$251$	−9.44890	−	6.07244i	−0.596409	−	0.383289i	−0.803739	+	0.594982i	$0.797159\pi$
$252$	−2.70149	+	1.30458i	−0.170178	+	0.0821810i
$253$	−16.5704	−	15.8782i	−1.04177	−	0.998252i
$254$			19.2209i			1.20603i
$255$	4.76354	−	2.23759i	0.298305	−	0.140123i
$256$	−0.142315	−	0.989821i	−0.00889468	−	0.0618638i
$257$	0.157766	−	0.0720492i	0.00984115	−	0.00449430i	−0.410488	−	0.911866i	$-0.634642\pi$
$257$	0.157766	−	0.0720492i	0.00984115	−	0.00449430i	0.420330	+	0.907372i	$0.361914\pi$
$258$	−5.58959	+	4.94953i	−0.347993	+	0.308144i
$259$	1.33138	−	2.91532i	0.0827279	−	0.181149i
$260$	5.09299	−	5.87762i	0.315854	−	0.364515i
$261$	2.37228	+	7.48080i	0.146840	+	0.463050i
$262$	3.15287	−	0.925767i	0.194785	−	0.0571941i
$263$	−5.68758	−	6.56382i	−0.350711	−	0.404742i	0.552795	−	0.833317i	$-0.313561\pi$
$263$	−5.68758	−	6.56382i	−0.350711	−	0.404742i	−0.903506	+	0.428575i	$0.859016\pi$
$264$	−8.28802	+	0.0890360i	−0.510092	+	0.00547978i
$265$	−9.06840	+	5.82791i	−0.557067	+	0.358005i
$266$	4.70023	−	4.07277i	0.288190	−	0.249718i
$267$	−4.02327	+	14.2672i	−0.246220	+	0.873140i
$268$	−1.30817	−	0.188087i	−0.0799092	−	0.0114892i
$269$	−0.802378	−	0.695264i	−0.0489218	−	0.0423910i	0.630057	−	0.776549i	$-0.283032\pi$
$269$	−0.802378	−	0.695264i	−0.0489218	−	0.0423910i	−0.678979	+	0.734158i	$0.737577\pi$
$270$	−6.83999	−	4.09054i	−0.416268	−	0.248942i
$271$	29.8375	+	8.76107i	1.81250	+	0.532197i	0.998795	−	0.0490833i	$-0.0156300\pi$
$271$	29.8375	+	8.76107i	1.81250	+	0.532197i	0.813703	+	0.581281i	$0.197448\pi$
$272$	−0.822964	−	1.80204i	−0.0498995	−	0.109265i
$273$	−3.56235	+	8.02757i	−0.215604	+	0.485851i
$274$	−7.77743	+	12.1019i	−0.469852	+	0.731103i
$275$	12.6692			0.763981
$276$	−8.05600	+	2.02507i	−0.484914	+	0.121895i
$277$	17.9074			1.07595			0.537975	−	0.842961i	$-0.319189\pi$
$277$	17.9074			1.07595			0.537975	+	0.842961i	$0.319189\pi$
$278$	5.88917	−	9.16373i	0.353209	−	0.549604i
$279$	13.8070	−	9.29828i	0.826601	−	0.556673i
$280$	0.637160	+	1.39519i	0.0380776	+	0.0833783i
$281$	3.97362	+	1.16676i	0.237047	+	0.0696031i	0.398098	−	0.917343i	$-0.369670\pi$
$281$	3.97362	+	1.16676i	0.237047	+	0.0696031i	−0.161052	+	0.986946i	$0.551489\pi$
$282$	−7.49001	−	11.3839i	−0.446023	−	0.677903i
$283$	1.41836	+	1.22902i	0.0843128	+	0.0730575i	0.695998	−	0.718044i	$-0.254962\pi$
$283$	1.41836	+	1.22902i	0.0843128	+	0.0730575i	−0.611685	+	0.791102i	$0.709508\pi$
$284$	12.5704	+	1.80734i	0.745913	+	0.107246i
$285$	15.9020	+	4.48428i	0.941955	+	0.265626i
$286$	−18.3379	+	15.8899i	−1.08435	+	0.939591i
$287$	7.22691	−	4.64445i	0.426591	−	0.274153i
$288$	−1.56733	+	2.55802i	−0.0923558	+	0.150733i
$289$	8.56256	+	9.88172i	0.503680	+	0.581278i
$290$	3.84984	−	1.13041i	0.226070	−	0.0663802i
$291$	−2.69981	+	3.18423i	−0.158266	+	0.186663i
$292$	−8.67619	+	10.0129i	−0.507736	+	0.585958i
$293$	2.59749	−	5.68771i	0.151747	−	0.332280i	−0.818457	−	0.574567i	$-0.805170\pi$
$293$	2.59749	−	5.68771i	0.151747	−	0.332280i	0.970205	+	0.242287i	$0.0778977\pi$
$294$	−1.14825	−	1.29674i	−0.0669672	−	0.0756272i
$295$	20.8555	−	9.52440i	1.21426	−	0.554532i
$296$	−0.456111	−	3.17232i	−0.0265109	−	0.184387i
$297$	19.3070	+	15.6695i	1.12031	+	0.909235i
$298$			15.7773i			0.913953i
$299$	−14.1545	+	19.7737i	−0.818576	+	1.14354i
$300$	2.43757	−	3.88404i	0.140733	−	0.224245i
$301$	−3.62623	−	2.33043i	−0.209012	−	0.134324i
$302$	11.2243	−	1.61381i	0.645885	−	0.0928642i
$303$	−3.56902	+	26.8690i	−0.205035	+	1.54358i
$304$	1.75218	−	5.96737i	0.100494	−	0.342252i
$305$	15.8252	+	7.22711i	0.906146	+	0.413823i
$306$	−1.55150	+	5.73710i	−0.0886932	+	0.327968i
$307$	−1.14747	+	7.98080i	−0.0654893	+	0.455488i	0.930520	+	0.366241i	$0.119355\pi$
$307$	−1.14747	+	7.98080i	−0.0654893	+	0.455488i	−0.996009	+	0.0892476i	$0.971554\pi$
$308$	−1.34819	−	4.59153i	−0.0768205	−	0.261626i
$309$	−2.37953	−	15.3756i	−0.135367	−	0.874688i
$310$	−4.60113	−	7.15949i	−0.261326	−	0.406632i
$311$	−1.94160	−	3.02118i	−0.110098	−	0.171316i	0.781832	−	0.623489i	$-0.214285\pi$
$311$	−1.94160	−	3.02118i	−0.110098	−	0.171316i	−0.891930	+	0.452173i	$0.850649\pi$
$312$	1.34319	+	8.67918i	0.0760432	+	0.491362i
$313$	8.18169	+	27.8643i	0.462456	+	1.57498i	0.779393	+	0.626535i	$0.215528\pi$
$313$	8.18169	+	27.8643i	0.462456	+	1.57498i	−0.316937	+	0.948447i	$0.602654\pi$
$314$	−3.16603	+	22.0202i	−0.178669	+	1.24267i
$315$	1.20121	−	4.44182i	0.0676805	−	0.250268i
$316$	11.1138	+	5.07550i	0.625200	+	0.285519i
$317$	3.98296	−	13.5647i	0.223705	−	0.761869i	−0.768781	−	0.639512i	$-0.779136\pi$
$317$	3.98296	−	13.5647i	0.223705	−	0.761869i	0.992486	−	0.122357i	$-0.0390454\pi$
$318$	1.60287	−	12.0670i	0.0898844	−	0.676685i
$319$	−12.3910	+	1.78156i	−0.693763	+	0.0997480i
$320$	1.29031	+	0.829230i	0.0721304	+	0.0463554i
$321$	−2.66422	+	4.24518i	−0.148702	+	0.236943i
$322$	−2.38765	−	4.15922i	−0.133058	−	0.231784i
$323$		−	12.3208i		−	0.685549i
$324$	8.51855	−	2.90420i	0.473253	−	0.161344i
$325$	−1.91047	−	13.2876i	−0.105974	−	0.737066i
$326$	−9.75943	+	4.45698i	−0.540525	+	0.246849i
$327$	−15.9110	−	17.9686i	−0.879881	−	0.993665i
$328$	3.56868	−	7.81433i	0.197048	−	0.431474i
$329$	5.15213	−	5.94588i	0.284046	−	0.327807i
$330$	8.22144	−	9.69659i	0.452575	−	0.533779i
$331$	19.1105	−	5.61136i	1.05041	−	0.308428i	0.289427	−	0.957200i	$-0.406535\pi$
$331$	19.1105	−	5.61136i	1.05041	−	0.308428i	0.760983	+	0.648772i	$0.224717\pi$
$332$	−1.66495	−	1.92145i	−0.0913759	−	0.105453i
$333$	−5.02320	+	8.19831i	−0.275270	+	0.449264i
$334$	−8.16567	+	5.24775i	−0.446805	+	0.287144i
$335$	1.53197	−	1.32746i	0.0837007	−	0.0725271i
$336$	−1.66704	−	0.470095i	−0.0909443	−	0.0256458i
$337$	14.4549	+	2.07830i	0.787409	+	0.113212i	0.524277	−	0.851548i	$-0.324335\pi$
$337$	14.4549	+	2.07830i	0.787409	+	0.113212i	0.263132	+	0.964760i	$0.415245\pi$
$338$	9.60616	+	8.32378i	0.522506	+	0.452754i
$339$	−9.89123	−	15.0335i	−0.537218	−	0.816507i
$340$	2.91546	+	0.856055i	0.158113	+	0.0464261i
$341$	11.0303	+	24.1529i	0.597323	+	1.30796i
$342$	−15.4757	+	10.4221i	−0.836830	+	0.563562i
$343$	0.540641	−	0.841254i	0.0291919	−	0.0454234i
$344$	−4.31050			−0.232407
$345$	5.74422	−	11.3722i	0.309258	−	0.612260i
$346$	−19.9357			−1.07175
$347$	5.72175	−	8.90322i	0.307160	−	0.477950i	−0.653017	−	0.757343i	$-0.726497\pi$
$347$	5.72175	−	8.90322i	0.307160	−	0.477950i	0.960177	+	0.279394i	$0.0901334\pi$
$348$	−1.83787	+	4.14153i	−0.0985200	+	0.222009i
$349$	10.3726	+	22.7128i	0.555232	+	1.21579i	0.954295	+	0.298866i	$0.0966083\pi$
$349$	10.3726	+	22.7128i	0.555232	+	1.21579i	−0.399063	+	0.916924i	$0.630664\pi$
$350$	2.54024	+	0.745883i	0.135782	+	0.0398691i
$351$	13.5230	−	22.6124i	0.721802	−	1.20696i
$352$	−3.61654	−	3.13375i	−0.192762	−	0.167029i
$353$	15.9709	+	2.29626i	0.850043	+	0.122218i	0.553549	−	0.832817i	$-0.313273\pi$
$353$	15.9709	+	2.29626i	0.850043	+	0.122218i	0.296494	+	0.955035i	$0.404182\pi$
$354$	−7.02708	+	24.9192i	−0.373485	+	1.32444i
$355$	−14.7209	+	12.7557i	−0.781305	+	0.677004i
$356$	−7.19981	+	4.62704i	−0.381589	+	0.245233i
$357$	−3.43110	+	0.0368594i	−0.181593	+	0.00195081i
$358$	11.6459	+	13.4401i	0.615507	+	0.710333i
$359$	7.39088	−	2.17016i	0.390076	−	0.114537i	−0.0808127	−	0.996729i	$-0.525752\pi$
$359$	7.39088	−	2.17016i	0.390076	−	0.114537i	0.470889	+	0.882193i	$0.343933\pi$
$360$	−1.39090	−	4.38612i	−0.0733071	−	0.231169i
$361$	12.8874	−	14.8729i	0.678286	−	0.782784i
$362$	−4.98212	+	10.9093i	−0.261854	+	0.573381i
$363$	−15.4308	+	13.6638i	−0.809908	+	0.717166i
$364$	−4.61236	+	2.10639i	−0.241753	+	0.110405i
$365$	−2.89199	−	20.1142i	−0.151374	−	1.05283i
$366$	−17.7820	+	8.35280i	−0.929482	+	0.436608i
$367$		−	4.35380i		−	0.227267i	−0.993523	−	0.113633i	$-0.963751\pi$
$367$		−	4.35380i		−	0.227267i	0.993523	−	0.113633i	$-0.0362489\pi$
$368$	−4.25726	−	2.20810i	−0.221925	−	0.115105i
$369$	−23.2076	+	11.2072i	−1.20814	+	0.583424i
$370$	4.13536	+	2.65763i	0.214987	+	0.138164i
$371$	6.95656	−	1.00020i	0.361166	−	0.0519279i
$372$	9.52691	+	1.26546i	0.493947	+	0.0656112i
$373$	−0.417580	+	1.42215i	−0.0216215	+	0.0736360i	−0.969597	−	0.244707i	$-0.921308\pi$
$373$	−0.417580	+	1.42215i	−0.0216215	+	0.0736360i	0.947976	+	0.318343i	$0.103126\pi$
$374$	−8.62342	−	3.93818i	−0.445906	−	0.203639i
$375$	5.93284	+	19.4308i	0.306371	+	1.00340i
$376$	1.11967	−	7.78745i	0.0577423	−	0.401607i
$377$	3.73705	+	12.7272i	0.192468	+	0.655485i
$378$	2.94864	+	4.27849i	0.151662	+	0.220062i
$379$	−8.34084	−	12.9786i	−0.428440	−	0.666666i	0.558177	−	0.829722i	$-0.311501\pi$
$379$	−8.34084	−	12.9786i	−0.428440	−	0.666666i	−0.986617	+	0.163056i	$0.947865\pi$
$380$	5.15723	+	8.02480i	0.264560	+	0.411664i
$381$	32.8999	−	5.09160i	1.68551	−	0.260850i
$382$	−1.83970	−	6.26544i	−0.0941272	−	0.320568i
$383$	3.04596	−	21.1851i	0.155641	−	1.08251i	−0.750907	−	0.660408i	$-0.770383\pi$
$383$	3.04596	−	21.1851i	0.155641	−	1.08251i	0.906548	−	0.422102i	$-0.138708\pi$
$384$	−1.65655	+	0.505799i	−0.0845356	+	0.0258115i
$385$	6.67647	+	3.04904i	0.340265	+	0.155394i
$386$	0.782220	−	2.66400i	0.0398140	−	0.135594i
$387$	9.95265	+	8.25643i	0.505922	+	0.419698i
$388$	−2.38575	+	0.343019i	−0.121118	+	0.0174141i
$389$	17.5139	+	11.2555i	0.887992	+	0.570678i	0.903206	−	0.429207i	$-0.141207\pi$
$389$	17.5139	+	11.2555i	0.887992	+	0.570678i	−0.0152147	+	0.999884i	$0.504843\pi$
$390$	−11.4097	−	7.16056i	−0.577753	−	0.362589i
$391$	−9.32468	−	1.82109i	−0.471570	−	0.0920964i
$392$		−	1.00000i		−	0.0505076i
$393$	−2.41980	−	5.15146i	−0.122063	−	0.259857i
$394$	0.0750854	+	0.522230i	0.00378275	+	0.0263096i
$395$	−17.0462	+	7.78476i	−0.857689	+	0.391694i
$396$	2.34789	+	14.1628i	0.117986	+	0.711708i
$397$	13.6861	−	29.9683i	0.686884	−	1.50407i	−0.168297	−	0.985736i	$-0.553827\pi$
$397$	13.6861	−	29.9683i	0.686884	−	1.50407i	0.855181	−	0.518330i	$-0.173446\pi$
$398$	12.2079	−	14.0886i	0.611925	−	0.706199i
$399$	−8.21635	−	6.96639i	−0.411332	−	0.348756i
$400$	2.54024	−	0.745883i	0.127012	−	0.0372941i
$401$	−21.3210	−	24.6058i	−1.06472	−	1.22875i	−0.972473	−	0.233016i	$-0.925140\pi$
$401$	−21.3210	−	24.6058i	−1.06472	−	1.22875i	−0.0922474	−	0.995736i	$-0.529405\pi$
$402$	0.0245900	+	2.28899i	0.00122644	+	0.114164i
$403$	23.6687	−	15.2109i	1.17902	−	0.757710i
$404$	−11.8268	+	10.2480i	−0.588405	+	0.509856i
$405$	−5.18976	+	12.7914i	−0.257881	+	0.635610i
$406$	−2.58935	−	0.372293i	−0.128507	−	0.0184766i
$407$	−11.5908	−	10.0435i	−0.574534	−	0.497837i
$408$	−2.86650	+	1.88600i	−0.141913	+	0.0933711i
$409$	−10.3177	−	3.02955i	−0.510178	−	0.149802i	0.0165047	−	0.999864i	$-0.494746\pi$
$409$	−10.3177	−	3.02955i	−0.510178	−	0.149802i	−0.526683	+	0.850062i	$0.676564\pi$
$410$	5.47361	+	11.9855i	0.270323	+	0.591924i
$411$	22.7748	+	10.1066i	1.12340	+	0.498524i
$412$	4.85646	−	7.55681i	0.239261	−	0.372297i
$413$	−14.9482			−0.735554
$414$	5.60028	+	13.2528i	0.275239	+	0.651340i
$415$	3.89958			0.191423
$416$	−2.74136	+	4.26564i	−0.134406	+	0.209140i
$417$	−17.2454	−	7.65289i	−0.844509	−	0.374763i
$418$	−12.3634	−	27.0721i	−0.604715	−	1.32414i
$419$	8.32917	+	2.44567i	0.406907	+	0.119479i	0.478779	−	0.877935i	$-0.341079\pi$
$419$	8.32917	+	2.44567i	0.406907	+	0.119479i	−0.0718728	+	0.997414i	$0.522898\pi$
$420$	2.21932	−	1.46019i	0.108292	−	0.0712501i
$421$	4.85399	+	4.20600i	0.236569	+	0.204988i	0.765075	−	0.643942i	$-0.222702\pi$
$421$	4.85399	+	4.20600i	0.236569	+	0.204988i	−0.528506	+	0.848930i	$0.677247\pi$
$422$	−25.9083	−	3.72505i	−1.26120	−	0.181333i
$423$	−17.5015	+	15.8360i	−0.850951	+	0.769975i
$424$	5.31148	−	4.60242i	0.257948	−	0.223513i
$425$	4.41224	−	2.83557i	0.214025	−	0.137545i
$426$	−0.236288	−	21.9951i	−0.0114482	−	1.06567i
$427$	−7.42789	−	8.57224i	−0.359461	−	0.414840i
$428$	−2.77644	+	0.815235i	−0.134204	+	0.0394059i
$429$	32.0561	+	27.1794i	1.54768	+	1.31223i
$430$	4.32955	−	4.99657i	0.208790	−	0.240956i
$431$	−13.0947	+	28.6734i	−0.630750	+	1.38115i	0.276687	+	0.960960i	$0.410764\pi$
$431$	−13.0947	+	28.6734i	−0.630750	+	1.38115i	−0.907437	+	0.420189i	$0.861964\pi$
$432$	4.79368	+	2.00514i	0.230636	+	0.0964724i
$433$	−28.9200	+	13.2073i	−1.38981	+	0.634704i	−0.962966	−	0.269622i	$-0.913101\pi$
$433$	−28.9200	+	13.2073i	−1.38981	+	0.634704i	−0.426842	+	0.904326i	$0.640374\pi$
$434$	0.789658	+	5.49220i	0.0379048	+	0.263634i
$435$	−2.95472	−	6.29022i	−0.141668	−	0.301593i
$436$		−	13.8568i		−	0.663619i
$437$	−18.3797	−	23.4909i	−0.879219	−	1.12372i
$438$	19.4371	+	12.1984i	0.928739	+	0.582863i
$439$	6.01565	+	3.86602i	0.287111	+	0.184515i	0.676267	−	0.736657i	$-0.263597\pi$
$439$	6.01565	+	3.86602i	0.287111	+	0.184515i	−0.389155	+	0.921172i	$0.627233\pi$
$440$	7.26504	−	1.04456i	0.346347	−	0.0497972i
$441$	−1.91542	+	2.30893i	−0.0912105	+	0.109949i
$442$	−2.83004	+	9.63824i	−0.134611	+	0.458444i
$443$	−29.3723	−	13.4139i	−1.39552	−	0.637314i	−0.431251	−	0.902232i	$-0.641928\pi$
$443$	−29.3723	−	13.4139i	−1.39552	−	0.637314i	−0.964271	+	0.264918i	$0.914655\pi$
$444$	−5.30915	+	1.62106i	−0.251961	+	0.0769319i
$445$	1.86815	−	12.9932i	0.0885586	−	0.615938i
$446$	−2.51399	−	8.56186i	−0.119041	−	0.405416i
$447$	27.0056	−	4.17938i	1.27732	−	0.197678i
$448$	−0.540641	−	0.841254i	−0.0255429	−	0.0397455i
$449$	11.7363	+	18.2621i	0.553872	+	0.861841i	0.999442	−	0.0334058i	$-0.0106354\pi$
$449$	11.7363	+	18.2621i	0.553872	+	0.861841i	−0.445570	+	0.895247i	$0.646999\pi$
$450$	−7.29392	−	3.14345i	−0.343839	−	0.148183i
$451$	−11.5819	−	39.4442i	−0.545368	−	1.85735i
$452$	1.47862	−	10.2840i	0.0695484	−	0.483720i
$453$	−5.73561	−	18.7848i	−0.269483	−	0.882588i
$454$	1.26136	+	0.576042i	0.0591983	+	0.0270350i
$455$	2.19109	−	7.46218i	0.102720	−	0.349832i
$456$	−10.6783	−	1.41841i	−0.500059	−	0.0664231i
$457$	−1.95357	+	0.280881i	−0.0913843	+	0.0131391i	−0.187855	−	0.982197i	$-0.560154\pi$
$457$	−1.95357	+	0.280881i	−0.0913843	+	0.0131391i	0.0964710	+	0.995336i	$0.469244\pi$
$458$	8.54366	+	5.49068i	0.399219	+	0.256562i
$459$	10.2310	+	1.13591i	0.477544	+	0.0530196i
$460$	6.83563	−	2.71700i	0.318713	−	0.126681i
$461$		−	26.4565i		−	1.23220i	−0.787667	−	0.616101i	$-0.788711\pi$
$461$		−	26.4565i		−	1.23220i	0.787667	−	0.616101i	$-0.211289\pi$
$462$	−7.50206	+	3.52396i	−0.349027	+	0.163949i
$463$	−1.23983	−	8.62319i	−0.0576197	−	0.400754i	−0.998137	−	0.0610086i	$-0.980568\pi$
$463$	−1.23983	−	8.62319i	−0.0576197	−	0.400754i	0.940518	−	0.339745i	$-0.110341\pi$
$464$	−2.37958	+	1.08672i	−0.110469	+	0.0504496i
$465$	−11.0359	+	9.77217i	−0.511777	+	0.453174i
$466$	2.31836	−	5.07650i	0.107396	−	0.235164i
$467$	1.14109	−	1.31688i	0.0528031	−	0.0609381i	−0.728734	−	0.684797i	$-0.759891\pi$
$467$	1.14109	−	1.31688i	0.0528031	−	0.0609381i	0.781537	+	0.623859i	$0.214436\pi$
$468$	14.5001	−	4.59821i	0.670268	−	0.212552i
$469$	−1.26809	+	0.372344i	−0.0585549	+	0.0171933i
$470$	7.90230	+	9.11974i	0.364506	+	0.420662i
$471$	38.5301	−	0.413919i	1.77537	−	0.0190724i
$472$	−12.5752	+	8.08161i	−0.578822	+	0.371986i
$473$	−15.5891	+	13.5080i	−0.716788	+	0.621100i
$474$	5.74357	−	20.3677i	0.263811	−	0.935519i
$475$	16.2979	+	2.34328i	0.747799	+	0.107517i
$476$	−1.49719	−	1.29732i	−0.0686235	−	0.0594626i
$477$	−21.0794	+	0.452953i	−0.965160	+	0.0207393i
$478$	12.3619	+	3.62979i	0.565421	+	0.166023i
$479$	12.7762	+	27.9761i	0.583762	+	1.27826i	0.939139	+	0.343537i	$0.111625\pi$
$479$	12.7762	+	27.9761i	0.583762	+	1.27826i	−0.355378	+	0.934723i	$0.615648\pi$
$480$	1.07757	−	2.42825i	0.0491842	−	0.110834i
$481$	−8.78590	+	13.6711i	−0.400603	+	0.623350i
$482$	11.7467			0.535049
$483$	−6.48675	+	5.18865i	−0.295157	+	0.236092i
$484$	−11.8997			−0.540897
$485$	1.99868	−	3.11000i	0.0907552	−	0.141218i
$486$	−7.22759	−	13.8117i	−0.327850	−	0.626510i
$487$	−2.20807	−	4.83501i	−0.100057	−	0.219095i	0.852983	−	0.521939i	$-0.174791\pi$
$487$	−2.20807	−	4.83501i	−0.100057	−	0.219095i	−0.953040	+	0.302844i	$0.902064\pi$
$488$	−10.8832	−	3.19561i	−0.492661	−	0.144658i
$489$	10.2142	+	15.5243i	0.461900	+	0.702034i
$490$	1.15916	+	1.00442i	0.0523656	+	0.0453750i
$491$	13.9438	+	2.00481i	0.629274	+	0.0904760i	0.449571	−	0.893245i	$-0.351577\pi$
$491$	13.9438	+	2.00481i	0.629274	+	0.0904760i	0.179704	+	0.983721i	$0.442486\pi$
$492$	−14.3209	−	4.03842i	−0.645637	−	0.182066i
$493$	−3.91661	+	3.39376i	−0.176395	+	0.152847i
$494$	−26.5293	+	17.0493i	−1.19361	+	0.767086i
$495$	−18.7752	−	11.5038i	−0.843885	−	0.517058i
$496$	3.63361	+	4.19341i	0.163154	+	0.188290i
$497$	12.1852	−	3.57789i	0.546580	−	0.160491i
$498$	−2.84786	+	3.35884i	−0.127616	+	0.150513i
$499$	26.1650	−	30.1960i	1.17130	−	1.35176i	0.247502	−	0.968887i	$-0.420390\pi$
$499$	26.1650	−	30.1960i	1.17130	−	1.35176i	0.923802	−	0.382870i	$-0.125064\pi$
$500$	−4.87267	+	10.6697i	−0.217912	+	0.477162i
$501$	11.1455	+	12.5868i	0.497945	+	0.562338i
$502$	−10.2169	+	4.66591i	−0.456003	+	0.208250i
$503$	3.98378	+	27.7078i	0.177628	+	1.23543i	0.862232	+	0.506514i	$0.169066\pi$
$503$	3.98378	+	27.7078i	0.177628	+	1.23543i	−0.684604	+	0.728916i	$0.740025\pi$
$504$	−0.363053	+	2.97795i	−0.0161717	+	0.132648i
$505$		−	24.0024i		−	1.06809i
$506$	−22.3162	+	5.35551i	−0.992076	+	0.238081i
$507$	11.7029	−	18.6476i	0.519746	−	0.828168i
$508$	16.1697	+	10.3916i	0.717412	+	0.461053i
$509$	10.7922	−	1.55168i	0.478354	−	0.0687769i	0.101079	−	0.994878i	$-0.467770\pi$
$509$	10.7922	−	1.55168i	0.478354	−	0.0687769i	0.377275	+	0.926101i	$0.376861\pi$
$510$	0.692987	−	5.21708i	0.0306860	−	0.231016i
$511$	−3.73265	+	12.7122i	−0.165123	+	0.562356i
$512$	−0.909632	−	0.415415i	−0.0402004	−	0.0183589i
$513$	21.9387	+	23.7285i	0.968618	+	1.04764i
$514$	0.0246829	−	0.171674i	0.00108872	−	0.00757220i
$515$	3.88163	+	13.2196i	0.171045	+	0.582527i
$516$	1.14185	+	7.37818i	0.0502670	+	0.324806i
$517$	−20.3546	−	31.6723i	−0.895194	−	1.39295i
$518$	−1.73272	−	2.69617i	−0.0761314	−	0.118463i
$519$	5.28093	+	34.1233i	0.231807	+	1.49785i
$520$	−2.19109	−	7.46218i	−0.0960858	−	0.327238i
$521$	−0.415870	+	2.89244i	−0.0182196	+	0.126720i	−0.996901	−	0.0786629i	$-0.974935\pi$
$521$	−0.415870	+	2.89244i	−0.0182196	+	0.126720i	0.978682	+	0.205383i	$0.0658440\pi$
$522$	7.57580	+	2.04874i	0.331584	+	0.0896710i
$523$	10.0768	+	4.60192i	0.440628	+	0.201228i	0.623361	−	0.781935i	$-0.285767\pi$
$523$	10.0768	+	4.60192i	0.440628	+	0.201228i	−0.182732	+	0.983163i	$0.558494\pi$
$524$	0.925767	−	3.15287i	0.0404423	−	0.137734i
$525$	0.603801	−	4.54565i	0.0263520	−	0.198389i
$526$	−8.59677	+	1.23603i	−0.374837	+	0.0538934i
$527$	9.24729	+	5.94287i	0.402818	+	0.258876i
$528$	−4.40594	+	7.02046i	−0.191744	+	0.305526i
$529$	−20.4950	+	10.4381i	−0.891089	+	0.453829i
$530$			10.7796i			0.468237i
$531$	44.5150	+	5.42699i	1.93179	+	0.235511i
$532$	−0.885098	−	6.15599i	−0.0383739	−	0.266896i
$533$	−39.6232	+	18.0953i	−1.71627	+	0.783794i
$534$	9.82720	+	11.0980i	0.425265	+	0.480259i
$535$	1.84372	−	4.03718i	0.0797109	−	0.174542i
$536$	−0.865479	+	0.998816i	−0.0373830	+	0.0431423i
$537$	19.9201	−	23.4943i	0.859617	−	1.01386i
$538$	−1.01869	+	0.299115i	−0.0439189	+	0.0128958i
$539$	−3.13375	−	3.61654i	−0.134980	−	0.155775i
$540$	−7.13915	+	3.54265i	−0.307220	+	0.152451i
$541$	9.83502	−	6.32059i	0.422841	−	0.271743i	−0.311869	−	0.950125i	$-0.600955\pi$
$541$	9.83502	−	6.32059i	0.422841	−	0.271743i	0.734709	+	0.678382i	$0.237319\pi$
$542$	23.5016	−	20.3643i	1.00948	−	0.874721i
$543$	19.9930	+	5.63790i	0.857980	+	0.241945i
$544$	−1.96090	−	0.281935i	−0.0840729	−	0.0120879i
$545$	16.0622	+	13.9180i	0.688031	+	0.596182i
$546$	4.82727	+	7.33688i	0.206588	+	0.313989i
$547$	3.91253	+	1.14882i	0.167288	+	0.0491201i	0.364304	−	0.931280i	$-0.381307\pi$
$547$	3.91253	+	1.14882i	0.167288	+	0.0491201i	−0.197016	+	0.980400i	$0.563125\pi$
$548$	5.97598	+	13.0856i	0.255281	+	0.558988i
$549$	19.0077	+	28.2244i	0.811229	+	1.20459i
$550$	6.84948	−	10.6580i	0.292063	−	0.454459i
$551$	−16.2696			−0.693106
$552$	−2.65181	+	7.87197i	−0.112868	+	0.335053i
$553$	12.2179			0.519558
$554$	9.68146	−	15.0646i	0.411326	−	0.640035i
$555$	3.45355	−	7.78239i	0.146595	−	0.330344i
$556$	−4.52510	−	9.90858i	−0.191907	−	0.420217i
$557$	24.9415	+	7.32348i	1.05680	+	0.310306i	0.763563	−	0.645733i	$-0.223448\pi$
$557$	24.9415	+	7.32348i	1.05680	+	0.310306i	0.293241	+	0.956039i	$0.405266\pi$
$558$	−0.357606	−	16.6422i	−0.0151387	−	0.704520i
$559$	16.5182	+	14.3131i	0.698647	+	0.605381i
$560$	1.51818	+	0.218281i	0.0641548	+	0.00922407i
$561$	−4.45655	+	15.8037i	−0.188156	+	0.667233i
$562$	3.12985	−	2.71203i	0.132025	−	0.114400i
$563$	0.801344	−	0.514992i	0.0337726	−	0.0217043i	−0.523646	−	0.851936i	$-0.675428\pi$
$563$	0.801344	−	0.514992i	0.0337726	−	0.0217043i	0.557418	+	0.830232i	$0.311792\pi$
$564$	−13.6262	+	0.146382i	−0.573765	+	0.00616381i
$565$	10.4357	+	12.0434i	0.439033	+	0.506671i
$566$	1.80074	−	0.528745i	0.0756907	−	0.0222248i
$567$	6.54230	−	6.18048i	0.274751	−	0.259556i
$568$	8.31648	−	9.59773i	0.348952	−	0.402712i
$569$	13.9588	−	30.5655i	0.585182	−	1.28137i	−0.353128	−	0.935575i	$-0.614882\pi$
$569$	13.9588	−	30.5655i	0.585182	−	1.28137i	0.938310	−	0.345795i	$-0.112391\pi$
$570$	12.3697	−	10.9533i	0.518110	−	0.458781i
$571$	−11.0654	+	5.05342i	−0.463074	+	0.211479i	−0.633269	−	0.773932i	$-0.718287\pi$
$571$	−11.0654	+	5.05342i	−0.463074	+	0.211479i	0.170195	+	0.985410i	$0.445560\pi$
$572$	3.45321	+	24.0176i	0.144386	+	1.00423i
$573$	−10.2371	+	4.80867i	−0.427659	+	0.200885i
$574$		−	8.59065i		−	0.358567i
$575$	4.18238	−	11.9883i	0.174417	−	0.499946i
$576$	1.30458	+	2.70149i	0.0543576	+	0.112562i
$577$	−15.4065	−	9.90118i	−0.641382	−	0.412191i	0.179126	−	0.983826i	$-0.442673\pi$
$577$	−15.4065	−	9.90118i	−0.641382	−	0.412191i	−0.820508	+	0.571635i	$0.806309\pi$
$578$	12.9423	−	1.86082i	0.538329	−	0.0774000i
$579$	−4.76711	−	0.633216i	−0.198114	−	0.0263156i
$580$	1.13041	−	3.84984i	0.0469379	−	0.159856i
$581$	−2.31269	−	1.05617i	−0.0959465	−	0.0438173i
$582$	1.21912	+	3.99276i	0.0505340	+	0.165505i
$583$	4.78633	−	33.2897i	0.198230	−	1.37872i
$584$	3.73265	+	12.7122i	0.154458	+	0.526036i
$585$	−9.23413	+	21.4265i	−0.381784	+	0.885877i
$586$	−3.38050	−	5.26016i	−0.139647	−	0.217295i
$587$	−6.76581	−	10.5278i	−0.279255	−	0.434529i	0.673086	−	0.739564i	$-0.264968\pi$
$587$	−6.76581	−	10.5278i	−0.279255	−	0.434529i	−0.952341	+	0.305035i	$0.901332\pi$
$588$	−1.71167	+	0.264899i	−0.0705883	+	0.0109242i
$589$	9.72227	+	33.1110i	0.400599	+	1.36431i
$590$	3.26291	−	22.6941i	0.134332	−	0.934300i
$591$	0.873998	−	0.266860i	0.0359515	−	0.0109771i
$592$	−2.91532	−	1.33138i	−0.119819	−	0.0547194i
$593$	1.86059	−	6.33660i	0.0764054	−	0.260213i	−0.912428	−	0.409237i	$-0.865795\pi$
$593$	1.86059	−	6.33660i	0.0764054	−	0.260213i	0.988834	+	0.149024i	$0.0476131\pi$
$594$	23.6202	−	7.77053i	0.969147	−	0.318829i
$595$	3.00761	−	0.432429i	0.123300	−	0.0177279i
$596$	13.2727	+	8.52984i	0.543671	+	0.349396i
$597$	−27.3490	−	17.1638i	−1.11932	−	0.702469i
$598$	8.98215	+	22.5980i	0.367308	+	0.924100i
$599$			38.5168i			1.57375i	0.617109	+	0.786877i	$0.288304\pi$
$599$			38.5168i			1.57375i	−0.617109	+	0.786877i	$0.711696\pi$
$600$	−1.94962	−	4.15049i	−0.0795927	−	0.169443i
$601$	−1.75756	−	12.2241i	−0.0716923	−	0.498631i	−0.993754	−	0.111589i	$-0.964406\pi$
$601$	−1.75756	−	12.2241i	−0.0716923	−	0.498631i	0.922062	−	0.387042i	$-0.126503\pi$
$602$	−3.92097	+	1.79065i	−0.159807	+	0.0729814i
$603$	3.91148	−	0.648440i	0.159288	−	0.0264065i
$604$	4.71068	−	10.3150i	0.191675	−	0.419710i
$605$	11.9523	−	13.7937i	0.485931	−	0.560794i
$606$	20.6741	+	17.5289i	0.839828	+	0.712064i
$607$	11.4432	−	3.36003i	0.464466	−	0.136380i	−0.0411227	−	0.999154i	$-0.513093\pi$
$607$	11.4432	−	3.36003i	0.464466	−	0.136380i	0.505589	+	0.862775i	$0.331275\pi$
$608$	−4.07277	−	4.70023i	−0.165173	−	0.190620i
$609$	0.0486726	+	4.53075i	0.00197231	+	0.183595i
$610$	14.6356	−	9.40571i	0.592577	−	0.380826i
$611$	−30.1490	+	26.1243i	−1.21970	+	1.05688i
$612$	3.98756	+	4.40692i	0.161187	+	0.178139i
$613$	17.7229	+	2.54816i	0.715819	+	0.102919i	0.490595	−	0.871388i	$-0.336779\pi$
$613$	17.7229	+	2.54816i	0.715819	+	0.102919i	0.225224	+	0.974307i	$0.427689\pi$
$614$	6.09351	+	5.28006i	0.245914	+	0.213086i
$615$	19.0654	−	12.5440i	0.768791	−	0.505823i
$616$	−4.59153	−	1.34819i	−0.184998	−	0.0543203i
$617$	−4.25434	−	9.31571i	−0.171273	−	0.375036i	0.804457	−	0.594011i	$-0.202456\pi$
$617$	−4.25434	−	9.31571i	−0.171273	−	0.375036i	−0.975731	+	0.218974i	$0.929729\pi$
$618$	−14.2213	−	6.31090i	−0.572063	−	0.253861i
$619$	14.6887	−	22.8560i	0.590388	−	0.918662i	−0.409591	−	0.912269i	$-0.634329\pi$
$619$	14.6887	−	22.8560i	0.590388	−	0.918662i	0.999980	−	0.00639281i	$-0.00203491\pi$
$620$	−8.51051			−0.341790
$621$	21.2010	−	13.0965i	0.850766	−	0.525545i
$622$	−3.59129			−0.143998
$623$	−4.62704	+	7.19981i	−0.185378	+	0.288454i
$624$	8.02757	+	3.56235i	0.321360	+	0.142608i
$625$	−1.97463	−	4.32384i	−0.0789853	−	0.172954i
$626$	27.8643	+	8.18169i	1.11368	+	0.327006i
$627$	−43.0636	+	28.3335i	−1.71979	+	1.13153i
$628$	16.8129	+	14.5685i	0.670908	+	0.581345i
$629$	−6.28456	−	0.903584i	−0.250582	−	0.0360283i
$630$	−3.08727	−	3.41195i	−0.123000	−	0.135935i
$631$	−5.49123	+	4.75818i	−0.218602	+	0.189420i	−0.757277	−	0.653094i	$-0.773471\pi$
$631$	−5.49123	+	4.75818i	−0.218602	+	0.189420i	0.538675	+	0.842514i	$0.318925\pi$
$632$	10.2784	−	6.60550i	0.408851	−	0.262753i
$633$	0.487004	+	45.3333i	0.0193567	+	1.80184i
$634$	−9.25800	−	10.6843i	−0.367682	−	0.424328i
$635$	−28.2867	+	8.30572i	−1.12252	+	0.329602i
$636$	−9.28485	−	7.87234i	−0.368168	−	0.312159i
$637$	−3.32052	+	3.83209i	−0.131564	+	0.151833i
$638$	−5.20034	+	11.3872i	−0.205883	+	0.450822i
$639$	−37.5859	+	6.23093i	−1.48687	+	0.246492i
$640$	1.39519	−	0.637160i	0.0551495	−	0.0251860i
$641$	−6.63517	−	46.1486i	−0.262073	−	1.82276i	−0.517213	−	0.855857i	$-0.673031\pi$
$641$	−6.63517	−	46.1486i	−0.262073	−	1.82276i	0.255140	−	0.966904i	$-0.417878\pi$
$642$	2.13089	+	4.53640i	0.0840996	+	0.179037i
$643$			18.1484i			0.715704i	0.933778	+	0.357852i	$0.116491\pi$
$643$			18.1484i			0.715704i	−0.933778	+	0.357852i	$0.883509\pi$
$644$	−4.78982	−	0.240029i	−0.188745	−	0.00945846i
$645$	−9.69940	−	6.08720i	−0.381913	−	0.239683i
$646$	−10.3649	−	6.66114i	−0.407803	−	0.262079i
$647$	−4.95833	+	0.712900i	−0.194932	+	0.0280270i	−0.239089	−	0.970998i	$-0.576849\pi$
$647$	−4.95833	+	0.712900i	−0.194932	+	0.0280270i	0.0441572	+	0.999025i	$0.485940\pi$
$648$	2.16231	−	8.73638i	0.0849435	−	0.343198i
$649$	−20.1531	+	68.6351i	−0.791078	+	2.69416i
$650$	−12.2112	−	5.57665i	−0.478961	−	0.218734i
$651$	9.19167	−	2.80651i	0.360250	−	0.109996i
$652$	−1.52689	+	10.6198i	−0.0597978	+	0.415903i
$653$	8.73674	+	29.7546i	0.341895	+	1.16439i	0.933625	+	0.358252i	$0.116627\pi$
$653$	8.73674	+	29.7546i	0.341895	+	1.16439i	−0.591730	+	0.806136i	$0.701555\pi$
$654$	−23.7183	+	3.67064i	−0.927458	+	0.143533i
$655$	2.72483	+	4.23992i	0.106468	+	0.165667i
$656$	−4.64445	−	7.22691i	−0.181335	−	0.282163i
$657$	15.7309	−	36.5013i	0.613719	−	1.42405i
$658$	−2.21654	−	7.54884i	−0.0864097	−	0.294284i
$659$	−2.83145	+	19.6932i	−0.110298	+	0.767136i	0.857332	+	0.514763i	$0.172120\pi$
$659$	−2.83145	+	19.6932i	−0.110298	+	0.767136i	−0.967630	+	0.252373i	$0.918789\pi$
$660$	−3.71244	−	12.1587i	−0.144507	−	0.473276i
$661$	−1.40628	−	0.642225i	−0.0546979	−	0.0249797i	0.387878	−	0.921711i	$-0.373208\pi$
$661$	−1.40628	−	0.642225i	−0.0546979	−	0.0249797i	−0.442576	+	0.896731i	$0.645935\pi$
$662$	5.61136	−	19.1105i	0.218092	−	0.742752i
$663$	17.2472	+	2.29095i	0.669826	+	0.0889732i
$664$	−2.51657	+	0.361828i	−0.0976617	+	0.0140416i
$665$	8.02480	+	5.15723i	0.311189	+	0.199989i
$666$	4.18111	+	8.65812i	0.162015	+	0.335495i
$667$	−2.40473	+	12.3132i	−0.0931117	+	0.476768i
$668$			9.70655i			0.375558i
$669$	−13.9892	+	6.57116i	−0.540853	+	0.254056i
$670$	−0.288485	−	2.00646i	−0.0111452	−	0.0775163i
$671$	−49.3739	+	22.5483i	−1.90606	+	0.870467i
$672$	−1.29674	+	1.14825i	−0.0500227	+	0.0442946i
$673$	−11.8047	+	25.8488i	−0.455039	+	0.996397i	0.533551	+	0.845768i	$0.320857\pi$
$673$	−11.8047	+	25.8488i	−0.455039	+	0.996397i	−0.988590	+	0.150629i	$0.951870\pi$
$674$	9.56329	−	11.0366i	0.368364	−	0.425115i
$675$	−3.44840	+	13.3175i	−0.132729	+	0.512592i
$676$	12.1959	−	3.58104i	0.469073	−	0.137732i
$677$	−8.08507	−	9.33067i	−0.310735	−	0.358607i	0.578804	−	0.815467i	$-0.303520\pi$
$677$	−8.08507	−	9.33067i	−0.310735	−	0.358607i	−0.889539	+	0.456860i	$0.848974\pi$
$678$	−17.9946	+	0.193311i	−0.691078	+	0.00742406i
$679$	−2.02766	+	1.30310i	−0.0778143	+	0.0500082i
$680$	2.29637	−	1.98982i	0.0880619	−	0.0763061i
$681$	0.651864	−	2.31162i	0.0249795	−	0.0885815i
$682$	26.2822	+	3.77881i	1.00640	+	0.144698i
$683$	−24.8856	−	21.5635i	−0.952220	−	0.825104i	0.0324600	−	0.999473i	$-0.489666\pi$
$683$	−24.8856	−	21.5635i	−0.952220	−	0.825104i	−0.984680	+	0.174369i	$0.944211\pi$
$684$	0.400827	+	18.6536i	0.0153260	+	0.713238i
$685$	−21.1707	−	6.21628i	−0.808891	−	0.237512i
$686$	−0.415415	−	0.909632i	−0.0158606	−	0.0347299i
$687$	7.13504	−	16.0784i	0.272219	−	0.613431i
$688$	−2.33043	+	3.62623i	−0.0888470	+	0.138249i
$689$	−35.6365			−1.35764
$690$	−6.46136	−	10.9806i	−0.245980	−	0.418026i
$691$	−38.0899			−1.44901			−0.724504	−	0.689271i	$-0.757931\pi$
$691$	−38.0899			−1.44901			−0.724504	+	0.689271i	$0.757931\pi$
$692$	−10.7780	+	16.7709i	−0.409719	+	0.637535i
$693$	8.01915	+	11.9076i	0.304622	+	0.452332i
$694$	−4.39645	−	9.62688i	−0.166887	−	0.365431i
$695$	16.0307	+	4.70705i	0.608081	+	0.178549i
$696$	2.49045	+	3.78519i	0.0944004	+	0.143477i
$697$	−12.8618	−	11.1448i	−0.487176	−	0.422140i
$698$	24.7151	+	3.55349i	0.935480	+	0.134502i
$699$	−9.30344	−	2.62352i	−0.351889	−	0.0992306i
$700$	2.00084	−	1.73373i	0.0756245	−	0.0655290i
$701$	22.9891	−	14.7742i	0.868287	−	0.558014i	−0.0289410	−	0.999581i	$-0.509213\pi$
$701$	22.9891	−	14.7742i	0.868287	−	0.558014i	0.897228	+	0.441567i	$0.145577\pi$
$702$	−11.7117	−	23.6014i	−0.442030	−	0.890778i
$703$	−13.0530	−	15.0640i	−0.492303	−	0.568148i
$704$	−4.59153	+	1.34819i	−0.173050	+	0.0508120i
$705$	13.5167	−	15.9420i	0.509069	−	0.600409i
$706$	10.5662	−	12.1941i	0.397666	−	0.458930i
$707$	−6.50087	+	14.2349i	−0.244490	+	0.535359i
$708$	17.1643	+	19.3839i	0.645072	+	0.728492i
$709$	16.9011	−	7.71845i	0.634733	−	0.289873i	−0.0719448	−	0.997409i	$-0.522921\pi$
$709$	16.9011	−	7.71845i	0.634733	−	0.289873i	0.706677	+	0.707536i	$0.250193\pi$
$710$	2.77209	+	19.2803i	0.104035	+	0.723576i
$711$	−36.3843	−	4.43575i	−1.36452	−	0.166353i
$712$			8.55843i			0.320741i
$713$	26.4962	−	2.46404i	0.992290	−	0.0922789i
$714$	−1.82399	+	2.90636i	−0.0682610	+	0.108768i
$715$	−31.3088	−	20.1209i	−1.17088	−	0.752480i
$716$	17.6028	−	2.53091i	0.657849	−	0.0945844i
$717$	2.93835	−	22.1211i	0.109735	−	0.826128i
$718$	2.17016	−	7.39088i	0.0809896	−	0.275825i
$719$	21.8317	+	9.97019i	0.814184	+	0.371825i	0.778584	−	0.627541i	$-0.215938\pi$
$719$	21.8317	+	9.97019i	0.814184	+	0.371825i	0.0356002	+	0.999366i	$0.488666\pi$
$720$	−4.44182	−	1.20121i	−0.165537	−	0.0447665i
$721$	1.27838	−	8.89136i	0.0476095	−	0.331132i
$722$	−5.54440	−	18.8825i	−0.206341	−	0.702734i
$723$	−3.11170	−	20.1066i	−0.115725	−	0.747772i
$724$	6.48397	+	10.0892i	0.240975	+	0.374964i
$725$	−3.74435	−	5.82632i	−0.139062	−	0.216384i
$726$	3.15222	+	20.3685i	0.116990	+	0.755944i
$727$	8.67007	+	29.5275i	0.321555	+	1.09512i	0.948691	+	0.316206i	$0.102409\pi$
$727$	8.67007	+	29.5275i	0.321555	+	1.09512i	−0.627136	+	0.778910i	$0.715773\pi$
$728$	−0.721619	+	5.01897i	−0.0267450	+	0.186015i
$729$	−21.7265	+	16.0300i	−0.804684	+	0.593703i
$730$	−18.4847	−	8.44167i	−0.684149	−	0.312440i
$731$	−2.40582	+	8.19348i	−0.0889825	+	0.303047i
$732$	−2.58688	+	19.4751i	−0.0956139	+	0.719819i
$733$	−24.7541	+	3.55911i	−0.914315	+	0.131459i	−0.583384	−	0.812196i	$-0.698272\pi$
$733$	−24.7541	+	3.55911i	−0.914315	+	0.131459i	−0.330931	+	0.943655i	$0.607363\pi$
$734$	−3.66265	−	2.35384i	−0.135191	−	0.0868819i
$735$	1.41218	−	2.25018i	0.0520890	−	0.0829990i
$736$	−4.15922	+	2.38765i	−0.153311	+	0.0880099i
$737$			6.32445i			0.232964i
$738$	−3.11886	+	25.5825i	−0.114807	+	0.941706i
$739$	0.111204	+	0.773442i	0.00409071	+	0.0284515i	0.991765	−	0.128074i	$-0.0408796\pi$
$739$	0.111204	+	0.773442i	0.00409071	+	0.0284515i	−0.987674	+	0.156526i	$0.949971\pi$
$740$	4.47149	−	2.04206i	0.164375	−	0.0750676i
$741$	36.2105	+	40.8932i	1.33023	+	1.50225i
$742$	2.91958	−	6.39298i	0.107181	−	0.234694i
$743$	10.2876	−	11.8726i	0.377417	−	0.435562i	−0.534983	−	0.844863i	$-0.679682\pi$
$743$	10.2876	−	11.8726i	0.377417	−	0.435562i	0.912399	+	0.409301i	$0.134227\pi$
$744$	6.21521	−	7.33038i	0.227861	−	0.268745i
$745$	−23.2188	+	6.81766i	−0.850672	+	0.249780i
$746$	0.970626	+	1.12016i	0.0355371	+	0.0410120i
$747$	6.50363	+	3.98485i	0.237955	+	0.145798i
$748$	−7.97518	+	5.12534i	−0.291601	+	0.187401i
$749$	−2.18687	+	1.89494i	−0.0799067	+	0.0692395i
$750$	19.5537	+	5.51404i	0.714002	+	0.201344i
$751$	32.9729	+	4.74079i	1.20320	+	0.172994i	0.714612	−	0.699521i	$-0.246603\pi$
$751$	32.9729	+	4.74079i	1.20320	+	0.172994i	0.488587	+	0.872515i	$0.337512\pi$
$752$	−5.94588	−	5.15213i	−0.216824	−	0.187879i
$753$	10.6930	+	16.2520i	0.389673	+	0.592257i
$754$	12.7272	+	3.73705i	0.463498	+	0.136095i
$755$	7.22521	+	15.8210i	0.262952	+	0.575785i
$756$	5.19345	−	0.167427i	0.188884	−	0.00608927i
$757$	−15.6122	+	24.2931i	−0.567435	+	0.882946i	−0.999824	−	0.0187408i	$-0.994034\pi$
$757$	−15.6122	+	24.2931i	−0.567435	+	0.882946i	0.432389	+	0.901687i	$0.357671\pi$
$758$	−15.4277			−0.560359
$759$	15.0784	+	36.7794i	0.547312	+	1.33501i
$760$	9.53910			0.346020
$761$	5.54222	−	8.62387i	0.200905	−	0.312615i	−0.726152	−	0.687534i	$-0.758693\pi$
$761$	5.54222	−	8.62387i	0.200905	−	0.312615i	0.927057	+	0.374919i	$0.122330\pi$
$762$	13.5037	−	30.4299i	0.489188	−	1.10236i
$763$	−5.75631	−	12.6046i	−0.208392	−	0.456316i
$764$	−6.26544	−	1.83970i	−0.226676	−	0.0665580i
$765$	−9.11351	+	0.195831i	−0.329500	+	0.00708027i
$766$	−16.1753	−	14.0160i	−0.584437	−	0.506418i
$767$	75.0246	+	10.7869i	2.70898	+	0.389493i
$768$	−0.470095	+	1.66704i	−0.0169631	+	0.0601540i
$769$	31.0659	−	26.9188i	1.12027	−	0.970716i	0.120508	−	0.992712i	$-0.461548\pi$
$769$	31.0659	−	26.9188i	1.12027	−	0.970716i	0.999758	+	0.0219961i	$0.00700215\pi$
$770$	6.17459	−	3.96817i	0.222517	−	0.143003i
$771$	−0.300388	+	0.00322699i	−0.0108182	+	0.000116217i
$772$	−1.81820	−	2.09831i	−0.0654383	−	0.0755199i
$773$	23.0313	−	6.76259i	0.828377	−	0.243233i	0.160057	−	0.987108i	$-0.448832\pi$
$773$	23.0313	−	6.76259i	0.828377	−	0.243233i	0.668320	+	0.743874i	$0.267014\pi$
$774$	12.3266	−	3.90894i	0.443069	−	0.140504i
$775$	−9.61992	+	11.1020i	−0.345558	+	0.398795i
$776$	−1.00127	+	2.19247i	−0.0359434	+	0.0787050i
$777$	−4.15596	+	3.68007i	−0.149094	+	0.132022i
$778$	18.9375	−	8.64846i	0.678942	−	0.310062i
$779$	−7.60357	−	52.8840i	−0.272426	−	1.89476i
$780$	−12.1924	+	5.72716i	−0.436558	+	0.205065i
$781$		−	60.7723i		−	2.17460i
$782$	−6.57330	+	6.85987i	−0.235061	+	0.245308i
$783$	1.49996	−	13.5100i	0.0536041	−	0.482809i
$784$	−0.841254	−	0.540641i	−0.0300448	−	0.0193086i
$785$	−33.7744	+	4.85603i	−1.20546	+	0.173319i
$786$	−5.64192	−	0.749419i	−0.201241	−	0.0267309i
$787$	11.5984	−	39.5006i	0.413439	−	1.40804i	−0.445186	−	0.895438i	$-0.646862\pi$
$787$	11.5984	−	39.5006i	0.413439	−	1.40804i	0.858625	−	0.512605i	$-0.171319\pi$
$788$	0.479922	+	0.219173i	0.0170965	+	0.00780772i
$789$	4.39295	+	14.3875i	0.156393	+	0.512207i
$790$	−2.66694	+	18.5490i	−0.0948854	+	0.659943i
$791$	−2.92714	−	9.96892i	−0.104077	−	0.354454i
$792$	13.1839	+	5.68182i	0.468468	+	0.201895i
$793$	31.0944	+	48.3839i	1.10420	+	1.71816i
$794$	−17.8117	−	27.7155i	−0.632113	−	0.983588i
$795$	18.4512	−	2.85551i	0.654397	−	0.101275i
$796$	−5.25204	−	17.8868i	−0.186154	−	0.633981i
$797$	−3.95645	+	27.5177i	−0.140145	+	0.974727i	0.791452	+	0.611232i	$0.209326\pi$
$797$	−3.95645	+	27.5177i	−0.140145	+	0.974727i	−0.931596	+	0.363495i	$0.881583\pi$
$798$	−10.3026	+	3.14572i	−0.364708	+	0.111357i
$799$	−14.1776	−	6.47469i	−0.501567	−	0.229058i
$800$	0.745883	−	2.54024i	0.0263709	−	0.0898112i
$801$	16.3930	−	19.7608i	0.579218	−	0.698214i
$802$	−32.2267	+	4.63350i	−1.13796	+	0.163614i
$803$	53.3362	+	34.2771i	1.88219	+	1.20961i
$804$	1.93891	+	1.21683i	0.0683801	+	0.0429144i
$805$	5.08922	−	5.31109i	0.179372	−	0.187191i
$806$		−	28.1350i		−	0.991012i
$807$	0.781838	+	1.66443i	0.0275220	+	0.0585908i
$808$	2.22710	+	15.4898i	0.0783490	+	0.544929i
$809$	−27.6779	+	12.6401i	−0.973104	+	0.444402i	−0.837546	−	0.546368i	$-0.816010\pi$
$809$	−27.6779	+	12.6401i	−0.973104	+	0.444402i	−0.135559	+	0.990769i	$0.543283\pi$
$810$	7.95502	+	11.2815i	0.279511	+	0.396390i
$811$	7.67426	−	16.8043i	0.269480	−	0.590078i	−0.725715	−	0.687995i	$-0.758491\pi$
$811$	7.67426	−	16.8043i	0.269480	−	0.590078i	0.995195	+	0.0979175i	$0.0312181\pi$
$812$	−1.71310	+	1.97703i	−0.0601181	+	0.0693800i
$813$	−41.0826	−	34.8327i	−1.44083	−	1.22164i
$814$	−14.7156	+	4.32088i	−0.515780	+	0.151447i
$815$	−10.7764	−	12.4366i	−0.377481	−	0.435636i
$816$	0.0368594	+	3.43110i	0.00129034	+	0.120113i
$817$	−22.5526	+	14.4937i	−0.789015	+	0.507069i
$818$	−8.12680	+	7.04191i	−0.284147	+	0.246215i
$819$	11.2796	−	10.2062i	0.394141	−	0.356635i
$820$	13.0421	+	1.87518i	0.455451	+	0.0654840i
$821$	20.1876	+	17.4926i	0.704552	+	0.610498i	0.931643	−	0.363376i	$-0.118376\pi$
$821$	20.1876	+	17.4926i	0.704552	+	0.610498i	−0.227091	+	0.973874i	$0.572921\pi$
$822$	20.8152	−	13.6953i	0.726014	−	0.477678i
$823$	−29.0031	−	8.51607i	−1.01098	−	0.296851i	−0.266027	−	0.963965i	$-0.585711\pi$
$823$	−29.0031	−	8.51607i	−1.01098	−	0.296851i	−0.744956	+	0.667114i	$0.767529\pi$
$824$	−3.73159	−	8.17104i	−0.129996	−	0.284652i
$825$	−20.0574	−	8.90079i	−0.698310	−	0.309886i
$826$	−8.08161	+	12.5752i	−0.281195	+	0.437548i
$827$	12.7885			0.444700			0.222350	−	0.974967i	$-0.428627\pi$
$827$	12.7885			0.444700			0.222350	+	0.974967i	$0.428627\pi$
$828$	14.1767	+	2.45375i	0.492675	+	0.0852738i
$829$	33.8268			1.17485			0.587427	−	0.809277i	$-0.300141\pi$
$829$	33.8268			1.17485			0.587427	+	0.809277i	$0.300141\pi$
$830$	2.10827	−	3.28054i	0.0731792	−	0.113869i
$831$	−28.3504	−	12.5809i	−0.983464	−	0.436427i
$832$	2.10639	+	4.61236i	0.0730261	+	0.159905i
$833$	−1.90082	−	0.558130i	−0.0658594	−	0.0193381i
$834$	−15.7616	+	10.3703i	−0.545778	+	0.359093i
$835$	−11.2515	−	9.74944i	−0.389373	−	0.337393i
$836$	−29.4587	−	4.23552i	−1.01885	−	0.146489i
$837$	−28.3913	+	5.02060i	−0.981345	+	0.173537i
$838$	6.56051	−	5.68472i	0.226629	−	0.196375i
$839$	31.3162	−	20.1257i	1.08116	−	0.694816i	0.126331	−	0.991988i	$-0.459680\pi$
$839$	31.3162	−	20.1257i	1.08116	−	0.694816i	0.954824	+	0.297172i	$0.0960434\pi$
$840$	−0.0285375	−	2.65645i	−0.000984639	−	0.0916563i
$841$	−14.5095	−	16.7449i	−0.500328	−	0.577410i
$842$	6.16258	−	1.80950i	0.212377	−	0.0623594i
$843$	−5.47120	−	4.63886i	−0.188438	−	0.159771i
$844$	−17.1408	+	19.7815i	−0.590011	+	0.680908i
$845$	−8.09879	+	17.7339i	−0.278607	+	0.610064i
$846$	3.86011	+	23.2848i	0.132713	+	0.800547i
$847$	−10.8244	+	4.94333i	−0.371930	+	0.169855i
$848$	−1.00020	−	6.95656i	−0.0343471	−	0.238889i
$849$	−1.38205	−	2.94222i	−0.0474319	−	0.100977i
$850$		−	5.24484i		−	0.179896i
$851$	−13.3301	+	7.65227i	−0.456949	+	0.262316i
$852$	−18.6312	−	11.6927i	−0.638295	−	0.400584i
$853$	10.7151	+	6.88617i	0.366878	+	0.235778i	0.711070	−	0.703121i	$-0.248211\pi$
$853$	10.7151	+	6.88617i	0.366878	+	0.235778i	−0.344192	+	0.938899i	$0.611847\pi$
$854$	−11.2272	+	1.61423i	−0.384188	+	0.0552380i
$855$	−22.0251	−	18.2714i	−0.753243	−	0.624869i
$856$	−0.815235	+	2.77644i	−0.0278642	+	0.0948967i
$857$	−13.2793	−	6.06444i	−0.453612	−	0.207157i	0.175489	−	0.984481i	$-0.443849\pi$
$857$	−13.2793	−	6.06444i	−0.453612	−	0.207157i	−0.629101	+	0.777324i	$0.716577\pi$
$858$	40.1955	−	12.2730i	1.37225	−	0.418993i
$859$	−5.60409	+	38.9773i	−0.191209	+	1.32989i	0.637605	+	0.770364i	$0.279925\pi$
$859$	−5.60409	+	38.9773i	−0.191209	+	1.32989i	−0.828814	+	0.559525i	$0.810984\pi$
$860$	−1.86265	−	6.34360i	−0.0635158	−	0.216315i
$861$	−14.7044	+	2.27565i	−0.501124	+	0.0775540i
$862$	17.0421	+	26.5180i	0.580455	+	0.903206i
$863$	24.8544	+	38.6743i	0.846055	+	1.31649i	0.946881	+	0.321583i	$0.104215\pi$
$863$	24.8544	+	38.6743i	0.846055	+	1.31649i	−0.100827	+	0.994904i	$0.532149\pi$
$864$	4.27849	−	2.94864i	0.145557	−	0.100315i
$865$	−8.61457	−	29.3385i	−0.292904	−	0.997540i
$866$	−4.52463	+	31.4695i	−0.153753	+	1.06938i
$867$	−6.61352	−	21.6601i	−0.224607	−	0.735615i
$868$	5.04725	+	2.30500i	0.171315	+	0.0782369i
$869$	16.4721	−	56.0988i	0.558778	−	1.90302i
$870$	−6.88911	−	0.915083i	−0.233563	−	0.0310242i
$871$	6.63318	−	0.953708i	0.224757	−	0.0323151i
$872$	−11.6571	−	7.49154i	−0.394758	−	0.253695i
$873$	6.51135	−	3.14441i	0.220376	−	0.106422i
$874$	−29.6986	+	2.76185i	−1.00457	+	0.0934208i
$875$			11.7296i			0.396534i
$876$	20.7704	−	9.75653i	0.701768	−	0.329643i
$877$	−3.83006	−	26.6387i	−0.129332	−	0.899523i	−0.946403	−	0.322987i	$-0.895313\pi$
$877$	−3.83006	−	26.6387i	−0.129332	−	0.899523i	0.817071	−	0.576536i	$-0.195596\pi$
$878$	6.50461	−	2.97056i	0.219520	−	0.100251i
$879$	−8.10819	+	7.17972i	−0.273482	+	0.242166i
$880$	3.04904	−	6.67647i	0.102783	−	0.225064i
$881$	9.35424	−	10.7954i	0.315152	−	0.363705i	−0.575968	−	0.817472i	$-0.695375\pi$
$881$	9.35424	−	10.7954i	0.315152	−	0.363705i	0.891120	+	0.453767i	$0.149920\pi$
$882$	0.906841	+	2.85966i	0.0305349	+	0.0962897i
$883$	−31.1205	+	9.13779i	−1.04729	+	0.307511i	−0.759721	−	0.650249i	$-0.774664\pi$
$883$	−31.1205	+	9.13779i	−1.04729	+	0.307511i	−0.287566	+	0.957761i	$0.592846\pi$
$884$	6.57817	+	7.59161i	0.221248	+	0.255333i
$885$	−39.7092	+	0.426585i	−1.33481	+	0.0143395i
$886$	−27.1644	+	17.4575i	−0.912605	+	0.586496i
$887$	10.0596	−	8.71666i	0.337767	−	0.292677i	−0.469417	−	0.882977i	$-0.655536\pi$
$887$	10.0596	−	8.71666i	0.337767	−	0.292677i	0.807184	+	0.590300i	$0.200990\pi$
$888$	−1.50663	+	5.34275i	−0.0505590	+	0.179291i
$889$	19.0253	+	2.73542i	0.638087	+	0.0917430i
$890$	−9.92061	−	8.59626i	−0.332540	−	0.288147i
$891$	−19.5576	−	38.3716i	−0.655203	−	1.28550i
$892$	−8.56186	−	2.51399i	−0.286672	−	0.0841746i
$893$	−20.3265	−	44.5087i	−0.680199	−	1.48943i
$894$	11.0844	−	24.9781i	0.370717	−	0.835392i
$895$	−14.7469	+	22.9466i	−0.492935	+	0.767021i
$896$	−1.00000			−0.0334077
$897$	36.3010	−	21.3607i	1.21206	−	0.713213i
$898$	21.7082			0.724412
$899$	7.84752	−	12.2110i	0.261729	−	0.407259i
$900$	−6.58783	+	4.43657i	−0.219594	+	0.147886i
$901$	−5.78386	−	12.6649i	−0.192688	−	0.421929i
$902$	−39.4442	−	11.5819i	−1.31335	−	0.385633i
$903$	4.10367	+	6.23709i	0.136561	+	0.207557i
$904$	−7.85207	−	6.80386i	−0.261156	−	0.226293i
$905$	−18.2077	−	2.61787i	−0.605244	−	0.0870210i
$906$	−18.9037	−	5.33074i	−0.628034	−	0.177102i
$907$	11.1088	−	9.62584i	0.368862	−	0.319621i	−0.450631	−	0.892711i	$-0.648801\pi$
$907$	11.1088	−	9.62584i	0.368862	−	0.319621i	0.819493	+	0.573090i	$0.194255\pi$
$908$	1.16654	−	0.749688i	0.0387129	−	0.0248793i
$909$	24.5273	−	40.0307i	0.813519	−	1.32773i
$910$	−5.09299	−	5.87762i	−0.168831	−	0.194841i
$911$	−52.6801	+	15.4683i	−1.74537	+	0.512487i	−0.989786	−	0.142564i	$-0.954465\pi$
$911$	−52.6801	+	15.4683i	−1.74537	+	0.512487i	−0.755585	+	0.655051i	$0.772647\pi$
$912$	−6.96639	+	8.21635i	−0.230680	+	0.272070i
$913$	−7.96738	+	9.19485i	−0.263682	+	0.304305i
$914$	−0.819889	+	1.79531i	−0.0271195	+	0.0593834i
$915$	−19.9764	−	22.5598i	−0.660401	−	0.745803i
$916$	9.23810	−	4.21890i	0.305235	−	0.139396i
$917$	−0.467643	−	3.25253i	−0.0154429	−	0.107408i
$918$	6.48691	−	7.99278i	0.214100	−	0.263801i
$919$		−	6.66268i		−	0.219781i	−0.993944	−	0.109891i	$-0.964950\pi$
$919$		−	6.66268i		−	0.219781i	0.993944	−	0.109891i	$-0.0350501\pi$
$920$	1.40993	−	7.21941i	0.0464842	−	0.238017i
$921$	7.42357	−	11.8288i	0.244615	−	0.389772i
$922$	−22.2566	−	14.3035i	−0.732983	−	0.471059i
$923$	−63.7389	+	9.16428i	−2.09799	+	0.301646i
$924$	−1.09138	+	8.21633i	−0.0359037	+	0.270297i
$925$	2.39051	−	8.14133i	0.0785995	−	0.267685i
$926$	−7.92459	−	3.61904i	−0.260418	−	0.118929i
$927$	−7.03500	+	26.0139i	−0.231060	+	0.854409i
$928$	−0.372293	+	2.58935i	−0.0122211	+	0.0849996i
$929$	3.33867	+	11.3705i	0.109538	+	0.373053i	0.995957	−	0.0898311i	$-0.0286327\pi$
$929$	3.33867	+	11.3705i	0.109538	+	0.373053i	−0.886419	+	0.462884i	$0.846815\pi$
$930$	2.25442	+	14.5672i	0.0739254	+	0.477678i
$931$	−3.36241	−	5.23201i	−0.110198	−	0.171472i
$932$	−3.01722	−	4.69489i	−0.0988324	−	0.153786i
$933$	0.951328	+	6.14711i	0.0311451	+	0.201247i
$934$	−0.490915	−	1.67190i	−0.0160632	−	0.0547063i
$935$	2.06933	−	14.3925i	0.0676744	−	0.470686i
$936$	3.97110	−	14.6843i	0.129799	−	0.479970i
$937$	−41.0406	−	18.7426i	−1.34074	−	0.612294i	−0.389577	−	0.920994i	$-0.627379\pi$
$937$	−41.0406	−	18.7426i	−1.34074	−	0.612294i	−0.951160	+	0.308700i	$0.900106\pi$
$938$	−0.372344	+	1.26809i	−0.0121575	+	0.0414045i
$939$	6.62317	−	49.8619i	0.216139	−	1.62718i
$940$	11.9443	−	1.71733i	0.389581	−	0.0560132i
$941$	−2.36081	−	1.51720i	−0.0769602	−	0.0494593i	0.501595	−	0.865103i	$-0.332747\pi$
$941$	−2.36081	−	1.51720i	−0.0769602	−	0.0494593i	−0.578555	+	0.815643i	$0.696383\pi$
$942$	20.4827	−	32.6374i	0.667364	−	1.06338i
$943$	−41.1477	−	2.06200i	−1.33995	−	0.0671481i
$944$			14.9482i			0.486523i
$945$	−5.02233	+	6.18822i	−0.163376	+	0.201303i
$946$	2.93558	+	20.4174i	0.0954438	+	0.663826i
$947$	40.3558	−	18.4299i	1.31139	−	0.598890i	0.367765	−	0.929919i	$-0.380123\pi$
$947$	40.3558	−	18.4299i	1.31139	−	0.598890i	0.943621	+	0.331029i	$0.107396\pi$
$948$	−14.0292	−	15.8434i	−0.455647	−	0.514570i
$949$	27.9074	−	61.1087i	0.905913	−	1.98367i
$950$	10.7826	−	12.4438i	0.349834	−	0.403730i
$951$	−15.8356	+	18.6769i	−0.513505	+	0.605641i
$952$	−1.90082	+	0.558130i	−0.0616058	+	0.0180891i
$953$	−2.03097	−	2.34387i	−0.0657897	−	0.0759254i	0.721901	−	0.691997i	$-0.243269\pi$
$953$	−2.03097	−	2.34387i	−0.0657897	−	0.0759254i	−0.787690	+	0.616071i	$0.788723\pi$
$954$	−11.0153	+	17.9780i	−0.356635	+	0.582060i
$955$	8.42564	−	5.41483i	0.272647	−	0.175220i
$956$	9.73693	−	8.43710i	0.314915	−	0.272875i
$957$	20.8687	+	5.88484i	0.674588	+	0.190230i
$958$	30.4423	+	4.37695i	0.983547	+	0.141413i
$959$	10.8719	+	9.42055i	0.351072	+	0.304205i
$960$	−1.46019	−	2.21932i	−0.0471275	−	0.0716282i
$961$	0.203632	+	0.0597916i	0.00656876	+	0.00192876i
$962$	6.75087	+	14.7823i	0.217657	+	0.476602i
$963$	7.20037	−	4.84908i	0.232029	−	0.156259i
$964$	6.35076	−	9.88198i	0.204544	−	0.318277i
$965$	4.25852			0.137086
$966$	0.857967	+	8.26220i	0.0276046	+	0.265832i
$967$	−3.88990			−0.125091			−0.0625454	−	0.998042i	$-0.519922\pi$
$967$	−3.88990			−0.125091			−0.0625454	+	0.998042i	$0.519922\pi$
$968$	−6.43348	+	10.0107i	−0.206780	+	0.321756i
$969$	−8.65604	+	19.5059i	−0.278072	+	0.626621i
$970$	−1.53573	−	3.36279i	−0.0493094	−	0.107973i
$971$	27.1365	+	7.96799i	0.870851	+	0.255705i	0.686477	−	0.727151i	$-0.259156\pi$
$971$	27.1365	+	7.96799i	0.870851	+	0.255705i	0.184374	+	0.982856i	$0.440974\pi$
$972$	−15.5266	−	1.38691i	−0.498017	−	0.0444851i
$973$	−8.23234	−	7.13337i	−0.263917	−	0.228685i
$974$	−5.26124	−	0.756453i	−0.168581	−	0.0242383i
$975$	−6.31068	+	22.3788i	−0.202104	+	0.716694i
$976$	−8.57224	+	7.42789i	−0.274391	+	0.237761i
$977$	−20.9846	+	13.4860i	−0.671358	+	0.431455i	−0.831415	−	0.555652i	$-0.812469\pi$
$977$	−20.9846	+	13.4860i	−0.671358	+	0.431455i	0.160057	+	0.987108i	$0.448832\pi$
$978$	18.5821	−	0.199622i	0.594189	−	0.00638321i
$979$	26.8200	+	30.9519i	0.857170	+	0.989227i
$980$	1.47166	−	0.432119i	0.0470105	−	0.0138035i
$981$	12.5659	+	39.6256i	0.401198	+	1.26515i
$982$	9.22514	−	10.6464i	0.294386	−	0.339739i
$983$	−7.34481	+	16.0829i	−0.234263	+	0.512965i	−0.989856	−	0.142077i	$-0.954622\pi$
$983$	−7.34481	+	16.0829i	−0.234263	+	0.512965i	0.755592	+	0.655042i	$0.227349\pi$
$984$	−11.1398	+	9.86419i	−0.355124	+	0.314459i
$985$	−0.736100	+	0.336166i	−0.0234541	+	0.0107111i
$986$	0.737535	+	5.12967i	0.0234879	+	0.163362i
$987$	−12.3340	+	5.79367i	−0.392595	+	0.184415i
$988$			31.5354i			1.00328i
$989$	7.63574	+	19.2106i	0.242802	+	0.610860i
$990$	−19.8283	+	9.57531i	−0.630184	+	0.304323i
$991$	12.6710	+	8.14315i	0.402507	+	0.258676i	0.726196	−	0.687488i	$-0.241287\pi$
$991$	12.6710	+	8.14315i	0.402507	+	0.258676i	−0.323689	+	0.946164i	$0.604923\pi$
$992$	5.49220	−	0.789658i	0.174377	−	0.0250717i
$993$	−34.1974	−	4.54246i	−1.08522	−	0.144151i
$994$	3.57789	−	12.1852i	0.113484	−	0.386491i
$995$	26.0089	+	11.8779i	0.824539	+	0.376554i
$996$	1.28597	+	4.21169i	0.0407474	+	0.133453i
$997$	−6.88072	+	47.8565i	−0.217915	+	1.51563i	0.527803	+	0.849367i	$0.323016\pi$
$997$	−6.88072	+	47.8565i	−0.217915	+	1.51563i	−0.745717	+	0.666262i	$0.767893\pi$
$998$	−11.2566	−	38.3365i	−0.356322	−	1.21352i
$999$	13.7123	−	9.45022i	0.433839	−	0.298992i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.r.b.113.13	yes	240
3.2	odd	2		966.2.r.a.113.11	✓	240
23.11	odd	22		966.2.r.a.701.11	yes	240
69.11	even	22	inner	966.2.r.b.701.13	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.r.a.113.11	✓	240	3.2	odd	2
966.2.r.a.701.11	yes	240	23.11	odd	22
966.2.r.b.113.13	yes	240	1.1	even	1	trivial
966.2.r.b.701.13	yes	240	69.11	even	22	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.r (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.540641 - 0.841254i) q^{2} +(-1.58317 - 0.702554i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(1.47166 + 0.432119i) q^{5} +(-1.44695 + 0.952016i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(-0.989821 - 0.142315i) q^{8} +(2.01284 + 2.22452i) q^{9} +O(q^{10})\)	\(q+(0.540641 - 0.841254i) q^{2} +(-1.58317 - 0.702554i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(1.47166 + 0.432119i) q^{5} +(-1.44695 + 0.952016i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(-0.989821 - 0.142315i) q^{8} +(2.01284 + 2.22452i) q^{9} +(1.15916 - 1.00442i) q^{10} +(-4.02571 + 2.58716i) q^{11} +(0.0186059 + 1.73195i) q^{12} +(3.32052 + 3.83209i) q^{13} +(-0.959493 + 0.281733i) q^{14} +(-2.02630 - 1.71804i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(-0.822964 + 1.80204i) q^{17} +(2.95961 - 0.490639i) q^{18} +(-5.65727 + 2.58359i) q^{19} +(-0.218281 - 1.51818i) q^{20} +(0.736403 + 1.56771i) q^{21} +4.78537i q^{22} +(1.11914 + 4.66342i) q^{23} +(1.46707 + 0.920711i) q^{24} +(-2.22721 - 1.43134i) q^{25} +(5.01897 - 0.721619i) q^{26} +(-1.62381 - 4.93591i) q^{27} +(-0.281733 + 0.959493i) q^{28} +(2.37958 + 1.08672i) q^{29} +(-2.54081 + 0.775790i) q^{30} +(0.789658 - 5.49220i) q^{31} +(0.281733 + 0.959493i) q^{32} +(8.19099 - 1.26764i) q^{33} +(1.07104 + 1.66658i) q^{34} +(-0.829230 - 1.29031i) q^{35} +(1.18733 - 2.75504i) q^{36} +(0.902936 + 3.07512i) q^{37} +(-0.885098 + 6.15599i) q^{38} +(-2.56469 - 8.39968i) q^{39} +(-1.39519 - 0.637160i) q^{40} +(-2.42026 + 8.24266i) q^{41} +(1.71697 + 0.228066i) q^{42} +(4.26663 - 0.613449i) q^{43} +(4.02571 + 2.58716i) q^{44} +(2.00096 + 4.14353i) q^{45} +(4.52818 + 1.57975i) q^{46} +7.86753i q^{47} +(1.56771 - 0.736403i) q^{48} +(0.142315 + 0.989821i) q^{49} +(-2.40824 + 1.09980i) q^{50} +(2.56892 - 2.27475i) q^{51} +(2.10639 - 4.61236i) q^{52} +(-4.60242 + 5.31148i) q^{53} +(-5.03025 - 1.30252i) q^{54} +(-7.04244 + 2.06785i) q^{55} +(0.654861 + 0.755750i) q^{56} +(10.7715 - 0.115716i) q^{57} +(2.20070 - 1.41431i) q^{58} +(11.2971 - 9.78900i) q^{59} +(-0.721027 + 2.55689i) q^{60} +(11.2272 + 1.61423i) q^{61} +(-4.19341 - 3.63361i) q^{62} +(-0.0644489 - 2.99931i) q^{63} +(0.959493 + 0.281733i) q^{64} +(3.23077 + 7.07440i) q^{65} +(3.36198 - 7.57603i) q^{66} +(0.714523 - 1.11182i) q^{67} +1.98106 q^{68} +(1.50452 - 8.16924i) q^{69} -1.53379 q^{70} +(-6.86593 + 10.6836i) q^{71} +(-1.67577 - 2.48833i) q^{72} +(-5.50379 - 12.0516i) q^{73} +(3.07512 + 0.902936i) q^{74} +(2.52045 + 3.83078i) q^{75} +(4.70023 + 4.07277i) q^{76} +(4.73666 + 0.681029i) q^{77} +(-8.45284 - 2.38365i) q^{78} +(-9.23367 + 8.00102i) q^{79} +(-1.29031 + 0.829230i) q^{80} +(-0.896982 + 8.95519i) q^{81} +(5.62568 + 6.49238i) q^{82} +(2.43946 - 0.716290i) q^{83} +(1.12013 - 1.32111i) q^{84} +(-1.98982 + 2.29637i) q^{85} +(1.79065 - 3.92097i) q^{86} +(-3.00379 - 3.39224i) q^{87} +(4.35292 - 1.98791i) q^{88} +(-1.21799 - 8.47132i) q^{89} +(4.56755 + 0.556847i) q^{90} -5.07058i q^{91} +(3.77709 - 2.95526i) q^{92} +(-5.10872 + 8.14029i) q^{93} +(6.61858 + 4.25351i) q^{94} +(-9.44201 + 1.35756i) q^{95} +(0.228066 - 1.71697i) q^{96} +(0.679054 - 2.31265i) q^{97} +(0.909632 + 0.415415i) q^{98} +(-13.8583 - 3.74773i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 4 q^{3} + 24 q^{4} + 4 q^{5} + 4 q^{9}+O(q^{10}) \) 240 * q - 4 * q^3 + 24 * q^4 + 4 * q^5 + 4 * q^9	\( 240 q - 4 q^{3} + 24 q^{4} + 4 q^{5} + 4 q^{9} + 4 q^{12} - 8 q^{13} - 24 q^{14} + 26 q^{15} - 24 q^{16} - 32 q^{17} + 40 q^{18} - 4 q^{20} + 8 q^{23} + 12 q^{25} + 116 q^{27} + 4 q^{30} + 16 q^{31} + 2 q^{33} - 4 q^{36} + 22 q^{37} + 8 q^{39} - 154 q^{41} - 4 q^{42} + 22 q^{43} - 24 q^{45} + 4 q^{46} - 4 q^{48} + 24 q^{49} - 88 q^{50} - 24 q^{51} + 8 q^{52} + 108 q^{53} + 12 q^{54} - 16 q^{55} + 24 q^{56} - 70 q^{57} - 4 q^{58} - 22 q^{59} - 26 q^{60} + 4 q^{63} + 24 q^{64} - 76 q^{66} - 44 q^{67} + 32 q^{68} - 86 q^{69} + 4 q^{70} + 4 q^{72} - 12 q^{73} + 16 q^{74} - 26 q^{75} - 78 q^{78} + 4 q^{80} - 168 q^{81} + 8 q^{82} - 16 q^{83} - 28 q^{85} - 16 q^{86} + 156 q^{87} - 24 q^{89} - 126 q^{90} - 8 q^{92} - 16 q^{93} - 8 q^{94} + 132 q^{97} - 172 q^{99}+O(q^{100}) \) 240 * q - 4 * q^3 + 24 * q^4 + 4 * q^5 + 4 * q^9 + 4 * q^12 - 8 * q^13 - 24 * q^14 + 26 * q^15 - 24 * q^16 - 32 * q^17 + 40 * q^18 - 4 * q^20 + 8 * q^23 + 12 * q^25 + 116 * q^27 + 4 * q^30 + 16 * q^31 + 2 * q^33 - 4 * q^36 + 22 * q^37 + 8 * q^39 - 154 * q^41 - 4 * q^42 + 22 * q^43 - 24 * q^45 + 4 * q^46 - 4 * q^48 + 24 * q^49 - 88 * q^50 - 24 * q^51 + 8 * q^52 + 108 * q^53 + 12 * q^54 - 16 * q^55 + 24 * q^56 - 70 * q^57 - 4 * q^58 - 22 * q^59 - 26 * q^60 + 4 * q^63 + 24 * q^64 - 76 * q^66 - 44 * q^67 + 32 * q^68 - 86 * q^69 + 4 * q^70 + 4 * q^72 - 12 * q^73 + 16 * q^74 - 26 * q^75 - 78 * q^78 + 4 * q^80 - 168 * q^81 + 8 * q^82 - 16 * q^83 - 28 * q^85 - 16 * q^86 + 156 * q^87 - 24 * q^89 - 126 * q^90 - 8 * q^92 - 16 * q^93 - 8 * q^94 + 132 * q^97 - 172 * q^99

Introduction

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