LMFDB - Embedded newform 966.2.r.a.113.11

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			113.11
Character	$\chi$	$=$	966.113
Dual form			966.2.r.a.701.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.540641 + 0.841254i) q^{2} +(1.32111 - 1.12013i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-1.47166 - 0.432119i) q^{5} +(0.228066 + 1.71697i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(0.989821 + 0.142315i) q^{8} +(0.490639 - 2.95961i) q^{9} +O(q^{10})$	\(q+(-0.540641 + 0.841254i) q^{2} +(1.32111 - 1.12013i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-1.47166 - 0.432119i) q^{5} +(0.228066 + 1.71697i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(0.989821 + 0.142315i) q^{8} +(0.490639 - 2.95961i) q^{9} +(1.15916 - 1.00442i) q^{10} +(4.02571 - 2.58716i) q^{11} +(-1.56771 - 0.736403i) q^{12} +(3.32052 + 3.83209i) q^{13} +(0.959493 - 0.281733i) q^{14} +(-2.42825 + 1.07757i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(0.822964 - 1.80204i) q^{17} +(2.22452 + 2.01284i) q^{18} +(-5.65727 + 2.58359i) q^{19} +(0.218281 + 1.51818i) q^{20} +(-1.73195 - 0.0186059i) 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} +(-2.66694 - 4.45953i) q^{27} +(-0.281733 + 0.959493i) q^{28} +(-2.37958 - 1.08672i) q^{29} +(0.406299 - 2.62535i) q^{30} +(0.789658 - 5.49220i) q^{31} +(-0.281733 - 0.959493i) q^{32} +(2.42043 - 7.92721i) q^{33} +(1.07104 + 1.66658i) q^{34} +(0.829230 + 1.29031i) q^{35} +(-2.89597 + 0.783164i) q^{36} +(0.902936 + 3.07512i) q^{37} +(0.885098 - 6.15599i) q^{38} +(8.67918 + 1.34319i) q^{39} +(-1.39519 - 0.637160i) q^{40} +(2.42026 - 8.24266i) q^{41} +(0.952016 - 1.44695i) 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} +(-0.0186059 + 1.73195i) q^{48} +(0.142315 + 0.989821i) q^{49} +(2.40824 - 1.09980i) q^{50} +(-0.931288 - 3.30251i) q^{51} +(2.10639 - 4.61236i) q^{52} +(4.60242 - 5.31148i) q^{53} +(5.19345 + 0.167427i) q^{54} +(-7.04244 + 2.06785i) q^{55} +(-0.654861 - 0.755750i) q^{56} +(-4.57991 + 9.75005i) q^{57} +(2.20070 - 1.41431i) q^{58} +(-11.2971 + 9.78900i) q^{59} +(1.98892 + 1.76117i) q^{60} +(11.2272 + 1.61423i) q^{61} +(4.19341 + 3.63361i) q^{62} +(-2.30893 + 1.91542i) q^{63} +(0.959493 + 0.281733i) q^{64} +(-3.23077 - 7.07440i) q^{65} +(5.36021 + 6.32197i) q^{66} +(0.714523 - 1.11182i) q^{67} -1.98106 q^{68} +(-6.70212 - 4.90729i) q^{69} -1.53379 q^{70} +(6.86593 - 10.6836i) q^{71} +(0.906841 - 2.85966i) q^{72} +(-5.50379 - 12.0516i) q^{73} +(-3.07512 - 0.902936i) q^{74} +(-4.54565 + 0.603801i) q^{75} +(4.70023 + 4.07277i) q^{76} +(-4.73666 - 0.681029i) q^{77} +(-5.82228 + 6.57521i) q^{78} +(-9.23367 + 8.00102i) q^{79} +(1.29031 - 0.829230i) q^{80} +(-8.51855 - 2.90420i) q^{81} +(5.62568 + 6.49238i) q^{82} +(-2.43946 + 0.716290i) q^{83} +(0.702554 + 1.58317i) q^{84} +(-1.98982 + 2.29637i) q^{85} +(-1.79065 + 3.92097i) q^{86} +(-4.36093 + 1.22976i) q^{87} +(4.35292 - 1.98791i) q^{88} +(1.21799 + 8.47132i) q^{89} +(-2.40396 - 3.92347i) 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} +(-1.44695 - 0.952016i) q^{96} +(0.679054 - 2.31265i) q^{97} +(-0.909632 - 0.415415i) q^{98} +(-5.68182 - 13.1839i) 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} + 18 q^{15} - 24 q^{16} + 32 q^{17} - 4 q^{18} + 4 q^{20} - 8 q^{23} + 12 q^{25} - 148 q^{27} + 40 q^{30} + 16 q^{31} + 42 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} - 62 q^{57} - 4 q^{58} + 22 q^{59} - 18 q^{60} - 4 q^{63} + 24 q^{64} - 100 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} + 52 q^{81} + 8 q^{82} + 16 q^{83} - 28 q^{85} + 16 q^{86} - 196 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 + 18 * q^15 - 24 * q^16 + 32 * q^17 - 4 * q^18 + 4 * q^20 - 8 * q^23 + 12 * q^25 - 148 * q^27 + 40 * q^30 + 16 * q^31 + 42 * 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 - 62 * q^57 - 4 * q^58 + 22 * q^59 - 18 * q^60 - 4 * q^63 + 24 * q^64 - 100 * 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 + 52 * q^81 + 8 * q^82 + 16 * q^83 - 28 * q^85 + 16 * q^86 - 196 * 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
$3$	1.32111	−	1.12013i	0.762741	−	0.646705i
$3$	1.32111	−	1.12013i	0.762741	−	0.646705i
$4$	−0.415415	−	0.909632i	−0.207708	−	0.454816i
$5$	−1.47166	−	0.432119i	−0.658147	−	0.193249i	−0.0644287	−	0.997922i	$-0.520523\pi$
$5$	−1.47166	−	0.432119i	−0.658147	−	0.193249i	−0.593718	+	0.804673i	$0.702341\pi$
$6$	0.228066	+	1.71697i	0.0931075	+	0.700950i
$7$	−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
$9$	0.490639	−	2.95961i	0.163546	−	0.986536i
$10$	1.15916	−	1.00442i	0.366559	−	0.317625i
$11$	4.02571	−	2.58716i	1.21380	−	0.780059i	0.232506	−	0.972595i	$-0.425307\pi$
$11$	4.02571	−	2.58716i	1.21380	−	0.780059i	0.981290	+	0.192536i	$0.0616711\pi$
$12$	−1.56771	−	0.736403i	−0.452559	−	0.212581i
$13$	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
$15$	−2.42825	+	1.07757i	−0.626971	+	0.278228i
$16$	−0.654861	+	0.755750i	−0.163715	+	0.188937i
$17$	0.822964	−	1.80204i	0.199598	−	0.437059i	−0.783193	−	0.621778i	$-0.786410\pi$
$17$	0.822964	−	1.80204i	0.199598	−	0.437059i	0.982791	+	0.184720i	$0.0591377\pi$
$18$	2.22452	+	2.01284i	0.524324	+	0.474430i
$19$	−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
$21$	−1.73195	−	0.0186059i	−0.377943	−	0.00406014i
$22$			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
$27$	−2.66694	−	4.45953i	−0.513254	−	0.858237i
$28$	−0.281733	+	0.959493i	−0.0532424	+	0.181327i
$29$	−2.37958	−	1.08672i	−0.441877	−	0.201798i	0.182037	−	0.983292i	$-0.441731\pi$
$29$	−2.37958	−	1.08672i	−0.441877	−	0.201798i	−0.623913	+	0.781493i	$0.714458\pi$
$30$	0.406299	−	2.62535i	0.0741798	−	0.479321i
$31$	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
$33$	2.42043	−	7.92721i	0.421344	−	1.37995i
$34$	1.07104	+	1.66658i	0.183682	+	0.285816i
$35$	0.829230	+	1.29031i	0.140165	+	0.218102i
$36$	−2.89597	+	0.783164i	−0.482662	+	0.130527i
$37$	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
$39$	8.67918	+	1.34319i	1.38978	+	0.215083i
$40$	−1.39519	−	0.637160i	−0.220598	−	0.100744i
$41$	2.42026	−	8.24266i	0.377982	−	1.28729i	−0.522591	−	0.852583i	$-0.675035\pi$
$41$	2.42026	−	8.24266i	0.377982	−	1.28729i	0.900573	−	0.434705i	$-0.143147\pi$
$42$	0.952016	−	1.44695i	0.146899	−	0.223269i
$43$	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	$-0.805469\pi$
$47$		−	7.86753i		−	1.14760i	0.818997	−	0.573798i	$-0.194531\pi$
$48$	−0.0186059	+	1.73195i	−0.00268553	+	0.249986i
$49$	0.142315	+	0.989821i	0.0203307	+	0.141403i
$50$	2.40824	−	1.09980i	0.340576	−	0.155536i
$51$	−0.931288	−	3.30251i	−0.130406	−	0.462443i
$52$	2.10639	−	4.61236i	0.292104	−	0.639619i
$53$	4.60242	−	5.31148i	0.632191	−	0.729588i	−0.345783	−	0.938315i	$-0.612387\pi$
$53$	4.60242	−	5.31148i	0.632191	−	0.729588i	0.977974	+	0.208727i	$0.0669320\pi$
$54$	5.19345	+	0.167427i	0.706740	+	0.0227840i
$55$	−7.04244	+	2.06785i	−0.949602	+	0.278828i
$56$	−0.654861	−	0.755750i	−0.0875094	−	0.100991i
$57$	−4.57991	+	9.75005i	−0.606624	+	1.29143i
$58$	2.20070	−	1.41431i	0.288966	−	0.185707i
$59$	−11.2971	+	9.78900i	−1.47076	+	1.27442i	−0.584360	+	0.811494i	$0.698655\pi$
$59$	−11.2971	+	9.78900i	−1.47076	+	1.27442i	−0.886398	+	0.462925i	$0.846800\pi$
$60$	1.98892	+	1.76117i	0.256769	+	0.227366i
$61$	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
$63$	−2.30893	+	1.91542i	−0.290898	+	0.241320i
$64$	0.959493	+	0.281733i	0.119937	+	0.0352166i
$65$	−3.23077	−	7.07440i	−0.400728	−	0.877471i
$66$	5.36021	+	6.32197i	0.659796	+	0.778181i
$67$	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
$69$	−6.70212	−	4.90729i	−0.806841	−	0.590769i
$70$	−1.53379			−0.183323
$71$	6.86593	−	10.6836i	0.814836	−	1.26791i	−0.145582	−	0.989346i	$-0.546505\pi$
$71$	6.86593	−	10.6836i	0.814836	−	1.26791i	0.960418	−	0.278563i	$-0.0898582\pi$
$72$	0.906841	−	2.85966i	0.106872	−	0.337014i
$73$	−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
$75$	−4.54565	+	0.603801i	−0.524887	+	0.0697209i
$76$	4.70023	+	4.07277i	0.539154	+	0.467179i
$77$	−4.73666	−	0.681029i	−0.539792	−	0.0776104i
$78$	−5.82228	+	6.57521i	−0.659244	+	0.744495i
$79$	−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
$81$	−8.51855	−	2.90420i	−0.946505	−	0.322689i
$82$	5.62568	+	6.49238i	0.621252	+	0.716963i
$83$	−2.43946	+	0.716290i	−0.267765	+	0.0786230i	−0.412859	−	0.910795i	$-0.635470\pi$
$83$	−2.43946	+	0.716290i	−0.267765	+	0.0786230i	0.145094	+	0.989418i	$0.453652\pi$
$84$	0.702554	+	1.58317i	0.0766549	+	0.172738i
$85$	−1.98982	+	2.29637i	−0.215826	+	0.249077i
$86$	−1.79065	+	3.92097i	−0.193091	+	0.422809i
$87$	−4.36093	+	1.22976i	−0.467541	+	0.131844i
$88$	4.35292	−	1.98791i	0.464023	−	0.211912i
$89$	1.21799	+	8.47132i	0.129107	+	0.897958i	0.946690	+	0.322147i	$0.104405\pi$
$89$	1.21799	+	8.47132i	0.129107	+	0.897958i	−0.817583	+	0.575811i	$0.804686\pi$
$90$	−2.40396	−	3.92347i	−0.253399	−	0.413570i
$91$		−	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
$96$	−1.44695	−	0.952016i	−0.147679	−	0.0971647i
$97$	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
$99$	−5.68182	−	13.1839i	−0.571045	−	1.32503i
$100$	−0.376776	+	2.62054i	−0.0376776	+	0.262054i
$101$	4.40886	+	15.0152i	0.438698	+	1.49407i	0.821485	+	0.570231i	$0.193146\pi$
$101$	4.40886	+	15.0152i	0.438698	+	1.49407i	−0.382787	+	0.923837i	$0.625036\pi$
$102$	3.28174	+	1.00202i	0.324940	+	0.0992148i
$103$	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
$105$	2.54081	+	0.775790i	0.247957	+	0.0757094i
$106$	1.98004	+	6.74341i	0.192319	+	0.654978i
$107$	−0.411809	+	2.86420i	−0.0398111	+	0.276892i	−0.999997	−	0.00246968i	$-0.999214\pi$
$107$	−0.411809	+	2.86420i	−0.0398111	+	0.276892i	0.960186	+	0.279362i	$0.0901230\pi$
$108$	−2.94864	+	4.27849i	−0.283733	+	0.411698i
$109$	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
$111$	4.63739	+	3.05115i	0.440162	+	0.289603i
$112$	0.989821	−	0.142315i	0.0935293	−	0.0134475i
$113$	−8.74044	−	5.61714i	−0.822231	−	0.528416i	0.0605693	−	0.998164i	$-0.480708\pi$
$113$	−8.74044	−	5.61714i	−0.822231	−	0.528416i	−0.882800	+	0.469748i	$0.844345\pi$
$114$	−5.72618	−	9.12414i	−0.536306	−	0.854554i
$115$	−0.368154	+	7.34658i	−0.0343306	+	0.685073i
$116$			2.61598i			0.242888i
$117$	12.9707	−	7.94727i	1.19914	−	0.734725i
$118$	−2.12735	−	14.7961i	−0.195839	−	1.36209i
$119$	−1.80204	+	0.822964i	−0.165193	+	0.0754409i
$120$	−2.55689	+	0.721027i	−0.233411	+	0.0658205i
$121$	4.94333	−	10.8244i	0.449393	−	0.984034i
$122$	−7.42789	+	8.57224i	−0.672489	+	0.776094i
$123$	−6.03539	−	13.6004i	−0.544193	−	1.22631i
$124$	−5.32391	+	1.56324i	−0.478101	+	0.140383i
$125$	7.68128	+	8.86467i	0.687035	+	0.792881i
$126$	−0.363053	−	2.97795i	−0.0323433	−	0.265297i
$127$	−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
$129$	4.94953	−	5.58959i	0.435782	−	0.492136i
$130$	7.69805	+	1.10681i	0.675163	+	0.0970738i
$131$	−2.48338	−	2.15186i	−0.216974	−	0.188009i	0.539592	−	0.841927i	$-0.318579\pi$
$131$	−2.48338	−	2.15186i	−0.216974	−	0.188009i	−0.756565	+	0.653918i	$0.773124\pi$
$132$	−8.21633	+	1.09138i	−0.715140	+	0.0949923i
$133$	5.96737	+	1.75218i	0.517437	+	0.151933i
$134$	0.549022	+	1.20219i	0.0474283	+	0.103853i
$135$	1.99779	+	7.71536i	0.171943	+	0.664032i
$136$	1.07104	−	1.66658i	0.0918412	−	0.142908i
$137$	14.3856			1.22904			0.614521	−	0.788900i	$-0.289349\pi$
$137$	14.3856			1.22904			0.614521	+	0.788900i	$0.289349\pi$
$138$	7.75172	−	2.98510i	0.659870	−	0.254109i
$139$	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
$141$	−8.81261	−	10.3938i	−0.742156	−	0.875318i
$142$	5.27561	+	11.5520i	0.442719	+	0.969420i
$143$	23.2817	+	6.83612i	1.94691	+	0.571665i
$144$	1.91542	+	2.30893i	0.159618	+	0.192411i
$145$	3.03234	+	2.62754i	0.251822	+	0.218205i
$146$	13.1141	+	1.88552i	1.08533	+	0.156046i
$147$	1.29674	+	1.14825i	0.106953	+	0.0947059i
$148$	2.42213	−	2.09879i	0.199098	−	0.172519i
$149$	13.2727	−	8.52984i	1.08734	−	0.698792i	0.131100	−	0.991369i	$-0.458149\pi$
$149$	13.2727	−	8.52984i	1.08734	−	0.698792i	0.956242	+	0.292577i	$0.0945129\pi$
$150$	1.94962	−	4.15049i	0.159185	−	0.338886i
$151$	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
$153$	−4.92955	−	3.31980i	−0.398530	−	0.268390i
$154$	3.13375	−	3.61654i	0.252525	−	0.291429i
$155$	−3.53539	+	7.74143i	−0.283969	+	0.621806i
$156$	−2.38365	−	8.45284i	−0.190845	−	0.676769i
$157$	−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
$159$	0.130764	−	12.1723i	0.0103703	−	0.965327i
$160$			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
$165$	−6.98756	+	10.6203i	−0.543981	+	0.826786i
$166$	0.716290	−	2.43946i	0.0555949	−	0.189339i
$167$	8.82938	+	4.03224i	0.683238	+	0.312024i	0.726625	−	0.687034i	$-0.241088\pi$
$167$	8.82938	+	4.03224i	0.683238	+	0.312024i	−0.0433871	+	0.999058i	$0.513815\pi$
$168$	−1.71167	−	0.264899i	−0.132059	−	0.0204374i
$169$	−1.80893	+	12.5814i	−0.139149	+	0.967799i
$170$	−0.856055	−	2.91546i	−0.0656564	−	0.223605i
$171$	4.87073	+	18.0109i	0.372474	+	1.37733i
$172$	−2.33043	−	3.62623i	−0.177694	−	0.276497i
$173$	10.7780	+	16.7709i	0.819438	+	1.27507i	0.958587	+	0.284799i	$0.0919270\pi$
$173$	10.7780	+	16.7709i	0.819438	+	1.27507i	−0.139149	+	0.990271i	$0.544437\pi$
$174$	1.32316	−	4.33351i	0.100308	−	0.328522i
$175$	0.745883	+	2.54024i	0.0563834	+	0.192024i
$176$	−0.681029	+	4.73666i	−0.0513345	+	0.357039i
$177$	−3.95976	+	25.5865i	−0.297634	+	1.92320i
$178$	−7.78502	−	3.55530i	−0.583512	−	0.266481i
$179$	5.01029	−	17.0635i	0.374487	−	1.27538i	−0.529678	−	0.848199i	$-0.677687\pi$
$179$	5.01029	−	17.0635i	0.374487	−	1.27538i	0.904164	−	0.427185i	$-0.140495\pi$
$180$	4.60031	+	0.0988512i	0.342887	+	0.00736794i
$181$	−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
$186$	9.61003	+	0.103238i	0.704642	+	0.00756977i
$187$	−1.34916	−	9.38362i	−0.0986604	−	0.686198i
$188$	−7.15655	+	3.26829i	−0.521945	+	0.238364i
$189$	−0.904829	+	5.11677i	−0.0658166	+	0.372190i
$190$	−3.96269	+	8.67707i	−0.287484	+	0.629501i
$191$	−4.27621	+	4.93501i	−0.309416	+	0.357085i	−0.889065	−	0.457782i	$-0.848644\pi$
$191$	−4.27621	+	4.93501i	−0.309416	+	0.357085i	0.579649	+	0.814866i	$0.303190\pi$
$192$	1.58317	−	0.702554i	0.114255	−	0.0507025i
$193$	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
$195$	−12.1924	−	5.72716i	−0.873116	−	0.410130i
$196$	0.841254	−	0.540641i	0.0600895	−	0.0386172i
$197$	0.398734	−	0.345505i	0.0284086	−	0.0246162i	−0.640541	−	0.767924i	$-0.721290\pi$
$197$	0.398734	−	0.345505i	0.0284086	−	0.0246162i	0.668949	+	0.743308i	$0.266744\pi$
$198$	14.1628	+	2.34789i	1.00651	+	0.166857i
$199$	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
$201$	−0.301417	−	2.26919i	−0.0212603	−	0.160056i
$202$	−15.0152	−	4.40886i	−1.05647	−	0.310206i
$203$	1.08672	+	2.37958i	0.0762726	+	0.167014i
$204$	−2.61719	+	2.21904i	−0.183240	+	0.155364i
$205$	−7.12362	+	11.0846i	−0.497535	+	0.774180i
$206$	−8.98279			−0.625861
$207$	−14.3510	+	1.02416i	−0.997463	+	0.0711844i
$208$	−5.07058			−0.351581
$209$	−16.0903	+	25.0371i	−1.11299	+	1.73185i
$210$	−2.02630	+	1.71804i	−0.139828	+	0.118556i
$211$	−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
$213$	−2.89635	−	21.8049i	−0.198454	−	1.49404i
$214$	−2.18687	−	1.89494i	−0.149492	−	0.129535i
$215$	−6.54412	−	0.940902i	−0.446305	−	0.0641690i
$216$	−2.00514	−	4.79368i	−0.136433	−	0.326169i
$217$	−4.19341	+	3.63361i	−0.284667	+	0.246665i
$218$	−11.6571	+	7.49154i	−0.789515	+	0.507391i
$219$	−20.7704	−	9.75653i	−1.40354	−	0.659285i
$220$	4.80652	+	5.54701i	0.324055	+	0.373980i
$221$	9.63824	−	2.83004i	0.648338	−	0.190369i
$222$	−5.07396	+	2.25164i	−0.340542	+	0.151120i
$223$	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
$225$	−5.32895	+	5.88938i	−0.355264	+	0.392626i
$226$	9.45087	−	4.31607i	0.628663	−	0.287101i
$227$	−0.197343	−	1.37255i	−0.0130981	−	0.0910994i	0.982224	−	0.187714i	$-0.0601077\pi$
$227$	−0.197343	−	1.37255i	−0.0130981	−	0.0910994i	−0.995322	+	0.0966144i	$0.969199\pi$
$228$	10.7715	+	0.115716i	0.713361	+	0.00766345i
$229$			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	−0.320862	−	0.947126i	$-0.603973\pi$
$233$	−5.52402	+	0.794235i	−0.361891	+	0.0520320i	−0.0410287	+	0.999158i	$0.513064\pi$
$234$	−0.326793	+	15.2082i	−0.0213632	+	0.994193i
$235$	−3.39971	+	11.5783i	−0.221772	+	0.755287i
$236$	13.5974	+	6.20971i	0.885114	+	0.404218i
$237$	−3.23651	+	20.9131i	−0.210234	+	1.35845i
$238$	0.281935	−	1.96090i	0.0182751	−	0.127106i
$239$	−3.62979	−	12.3619i	−0.234791	−	0.799626i	−0.989621	−	0.143705i	$-0.954098\pi$
$239$	−3.62979	−	12.3619i	−0.234791	−	0.799626i	0.754829	−	0.655921i	$-0.227720\pi$
$240$	0.775790	−	2.54081i	0.0500770	−	0.164008i
$241$	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
$243$	−14.5070	+	5.70509i	−0.930622	+	0.365982i
$244$	−3.19561	−	10.8832i	−0.204578	−	0.696728i
$245$	0.218281	−	1.51818i	0.0139455	−	0.0969929i
$246$	14.7044	+	2.27565i	0.937517	+	0.145090i
$247$	−28.6856	−	13.1003i	−1.82522	−	0.833552i
$248$	1.56324	−	5.32391i	0.0992660	−	0.338069i
$249$	−2.42045	+	3.67879i	−0.153390	+	0.233134i
$250$	−11.6103	+	1.66930i	−0.734297	+	0.105576i
$251$	9.44890	+	6.07244i	0.596409	+	0.383289i	0.803739	−	0.594982i	$-0.202841\pi$
$251$	9.44890	+	6.07244i	0.596409	+	0.383289i	−0.207330	+	0.978271i	$0.566477\pi$
$252$	2.70149	+	1.30458i	0.170178	+	0.0821810i
$253$	−16.5704	−	15.8782i	−1.04177	−	0.998252i
$254$		−	19.2209i		−	1.20603i
$255$	−0.0565347	+	5.26260i	−0.00354034	+	0.329557i
$256$	−0.142315	−	0.989821i	−0.00889468	−	0.0618638i
$257$	−0.157766	+	0.0720492i	−0.00984115	+	0.00449430i	−0.420330	−	0.907372i	$-0.638086\pi$
$257$	−0.157766	+	0.0720492i	−0.00984115	+	0.00449430i	0.410488	+	0.911866i	$0.365358\pi$
$258$	2.02635	+	7.18577i	0.126155	+	0.447366i
$259$	1.33138	−	2.91532i	0.0827279	−	0.181149i
$260$	−5.09299	+	5.87762i	−0.315854	+	0.364515i
$261$	−4.38377	+	6.50943i	−0.271348	+	0.402924i
$262$	3.15287	−	0.925767i	0.194785	−	0.0571941i
$263$	5.68758	+	6.56382i	0.350711	+	0.404742i	0.903506	−	0.428575i	$-0.140984\pi$
$263$	5.68758	+	6.56382i	0.350711	+	0.404742i	−0.552795	+	0.833317i	$0.686439\pi$
$264$	3.52396	−	7.50206i	0.216885	−	0.461720i
$265$	−9.06840	+	5.82791i	−0.557067	+	0.358005i
$266$	−4.70023	+	4.07277i	−0.288190	+	0.249718i
$267$	11.0980	+	9.82720i	0.679189	+	0.601415i
$268$	−1.30817	−	0.188087i	−0.0799092	−	0.0114892i
$269$	0.802378	+	0.695264i	0.0489218	+	0.0423910i	0.678979	−	0.734158i	$-0.262423\pi$
$269$	0.802378	+	0.695264i	0.0489218	+	0.0423910i	−0.630057	+	0.776549i	$0.716968\pi$
$270$	−7.57066	−	2.49059i	−0.460736	−	0.151572i
$271$	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
$273$	−5.67968	−	6.69877i	−0.343750	−	0.405428i
$274$	−7.77743	+	12.1019i	−0.469852	+	0.731103i
$275$	−12.6692			−0.763981
$276$	−1.67967	+	8.13503i	−0.101104	+	0.489671i
$277$	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
$279$	−15.8673	−	5.03176i	−0.949951	−	0.301244i
$280$	0.637160	+	1.39519i	0.0380776	+	0.0833783i
$281$	−3.97362	−	1.16676i	−0.237047	−	0.0696031i	0.161052	−	0.986946i	$-0.448511\pi$
$281$	−3.97362	−	1.16676i	−0.237047	−	0.0696031i	−0.398098	+	0.917343i	$0.630330\pi$
$282$	13.5083	−	1.79431i	0.804408	−	0.106850i
$283$	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
$285$	10.9533	−	12.3697i	0.648815	−	0.732718i
$286$	−18.3379	+	15.8899i	−1.08435	+	0.939591i
$287$	−7.22691	+	4.64445i	−0.426591	+	0.274153i
$288$	−2.97795	+	0.363053i	−0.175477	+	0.0213931i
$289$	8.56256	+	9.88172i	0.503680	+	0.581278i
$290$	−3.84984	+	1.13041i	−0.226070	+	0.0663802i
$291$	−1.69335	−	3.81588i	−0.0992660	−	0.223691i
$292$	−8.67619	+	10.0129i	−0.507736	+	0.585958i
$293$	−2.59749	+	5.68771i	−0.151747	+	0.332280i	−0.970205	−	0.242287i	$-0.922102\pi$
$293$	−2.59749	+	5.68771i	−0.151747	+	0.332280i	0.818457	+	0.574567i	$0.194830\pi$
$294$	−1.66704	+	0.470095i	−0.0972235	+	0.0274165i
$295$	20.8555	−	9.52440i	1.21426	−	0.554532i
$296$	0.456111	+	3.17232i	0.0265109	+	0.184387i
$297$	−22.2739	−	11.0529i	−1.29246	−	0.641356i
$298$			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
$303$	22.6435	+	14.8982i	1.30083	+	0.855878i
$304$	1.75218	−	5.96737i	0.100494	−	0.342252i
$305$	−15.8252	−	7.22711i	−0.906146	−	0.413823i
$306$	5.45791	−	2.35218i	0.312008	−	0.134465i
$307$	−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
$309$	14.8805	+	4.54349i	0.846520	+	0.258470i
$310$	−4.60113	−	7.15949i	−0.261326	−	0.406632i
$311$	1.94160	+	3.02118i	0.110098	+	0.171316i	0.891930	−	0.452173i	$-0.149351\pi$
$311$	1.94160	+	3.02118i	0.110098	+	0.171316i	−0.781832	+	0.623489i	$0.785715\pi$
$312$	8.39968	+	2.56469i	0.475538	+	0.145197i
$313$	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
$315$	4.22565	−	1.82112i	0.238089	−	0.102608i
$316$	11.1138	+	5.07550i	0.625200	+	0.285519i
$317$	−3.98296	+	13.5647i	−0.223705	+	0.761869i	0.768781	+	0.639512i	$0.220864\pi$
$317$	−3.98296	+	13.5647i	−0.223705	+	0.761869i	−0.992486	+	0.122357i	$0.960955\pi$
$318$	10.1693	+	6.69085i	0.570266	+	0.375204i
$319$	−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
$324$	0.896982	+	8.95519i	0.0498323	+	0.497511i
$325$	−1.91047	−	13.2876i	−0.105974	−	0.737066i
$326$	9.75943	−	4.45698i	0.540525	−	0.246849i
$327$	23.0997	−	6.51399i	1.27742	−	0.360225i
$328$	3.56868	−	7.81433i	0.197048	−	0.431474i
$329$	−5.15213	+	5.94588i	−0.284046	+	0.327807i
$330$	−5.15657	−	11.6201i	−0.283860	−	0.639663i
$331$	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
$333$	9.54415	−	1.16356i	0.523016	−	0.0637629i
$334$	−8.16567	+	5.24775i	−0.446805	+	0.287144i
$335$	−1.53197	+	1.32746i	−0.0837007	+	0.0725271i
$336$	1.14825	−	1.29674i	0.0626421	−	0.0707428i
$337$	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
$339$	−17.8389	+	2.36955i	−0.968878	+	0.128696i
$340$	2.91546	+	0.856055i	0.158113	+	0.0464261i
$341$	−11.0303	−	24.1529i	−0.597323	−	1.30796i
$342$	−17.7851	−	5.63991i	−0.961706	−	0.304972i
$343$	0.540641	−	0.841254i	0.0291919	−	0.0454234i
$344$	4.31050			0.232407
$345$	7.74272	+	10.1180i	0.416854	+	0.544734i
$346$	−19.9357			−1.07175
$347$	−5.72175	+	8.90322i	−0.307160	+	0.477950i	−0.960177	−	0.279394i	$-0.909867\pi$
$347$	−5.72175	+	8.90322i	−0.307160	+	0.477950i	0.653017	+	0.757343i	$0.273503\pi$
$348$	2.93022	+	3.45598i	0.157076	+	0.185260i
$349$	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
$351$	8.23366	−	25.0279i	0.439480	−	1.33589i
$352$	−3.61654	−	3.13375i	−0.192762	−	0.167029i
$353$	−15.9709	−	2.29626i	−0.850043	−	0.122218i	−0.296494	−	0.955035i	$-0.595818\pi$
$353$	−15.9709	−	2.29626i	−0.850043	−	0.122218i	−0.553549	+	0.832817i	$0.686727\pi$
$354$	−19.3839	−	17.1643i	−1.03024	−	0.912270i
$355$	−14.7209	+	12.7557i	−0.781305	+	0.677004i
$356$	7.19981	−	4.62704i	0.381589	−	0.245233i
$357$	−1.45886	+	3.10573i	−0.0772111	+	0.164373i
$358$	11.6459	+	13.4401i	0.615507	+	0.710333i
$359$	−7.39088	+	2.17016i	−0.390076	+	0.114537i	−0.470889	−	0.882193i	$-0.656067\pi$
$359$	−7.39088	+	2.17016i	−0.390076	+	0.114537i	0.0808127	+	0.996729i	$0.474248\pi$
$360$	−2.57027	+	3.81659i	−0.135465	+	0.201152i
$361$	12.8874	−	14.8729i	0.678286	−	0.782784i
$362$	4.98212	−	10.9093i	0.261854	−	0.573381i
$363$	−5.59400	−	19.8373i	−0.293609	−	1.04119i
$364$	−4.61236	+	2.10639i	−0.241753	+	0.110405i
$365$	2.89199	+	20.1142i	0.151374	+	1.05283i
$366$	−0.211041	+	19.6450i	−0.0110313	+	1.02686i
$367$		−	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
$372$	−5.28242	+	8.02866i	−0.273881	+	0.416266i
$373$	−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
$375$	20.0773	+	3.10717i	1.03679	+	0.160454i
$376$	1.11967	−	7.78745i	0.0577423	−	0.401607i
$377$	−3.73705	−	12.7272i	−0.192468	−	0.655485i
$378$	−3.81531	−	3.52752i	−0.196238	−	0.181436i
$379$	−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
$381$	−9.72192	+	31.8404i	−0.498069	+	1.63124i
$382$	−1.83970	−	6.26544i	−0.0941272	−	0.320568i
$383$	−3.04596	+	21.1851i	−0.155641	+	1.08251i	0.750907	+	0.660408i	$0.229617\pi$
$383$	−3.04596	+	21.1851i	−0.155641	+	1.08251i	−0.906548	+	0.422102i	$0.861292\pi$
$384$	−0.264899	+	1.71167i	−0.0135181	+	0.0873485i
$385$	6.67647	+	3.04904i	0.340265	+	0.155394i
$386$	−0.782220	+	2.66400i	−0.0398140	+	0.135594i
$387$	0.277807	−	12.9285i	0.0141217	−	0.657194i
$388$	−2.38575	+	0.343019i	−0.121118	+	0.0174141i
$389$	−17.5139	−	11.2555i	−0.887992	−	0.570678i	0.0152147	−	0.999884i	$-0.495157\pi$
$389$	−17.5139	−	11.2555i	−0.887992	−	0.570678i	−0.903206	+	0.429207i	$0.858793\pi$
$390$	11.4097	−	7.16056i	0.577753	−	0.362589i
$391$	−9.32468	−	1.82109i	−0.471570	−	0.0920964i
$392$			1.00000i			0.0505076i
$393$	−5.69115	−	0.0611385i	−0.287081	−	0.00308403i
$394$	0.0750854	+	0.522230i	0.00378275	+	0.0263096i
$395$	17.0462	−	7.78476i	0.857689	−	0.391694i
$396$	−9.63216	+	10.6451i	−0.484034	+	0.534939i
$397$	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
$399$	9.84619	−	4.36939i	0.492926	−	0.218743i
$400$	2.54024	−	0.745883i	0.127012	−	0.0372941i
$401$	21.3210	+	24.6058i	1.06472	+	1.22875i	0.972473	+	0.233016i	$0.0748596\pi$
$401$	21.3210	+	24.6058i	1.06472	+	1.22875i	0.0922474	+	0.995736i	$0.470595\pi$
$402$	2.07192	+	0.973247i	0.103338	+	0.0485411i
$403$	23.6687	−	15.2109i	1.17902	−	0.757710i
$404$	11.8268	−	10.2480i	0.588405	−	0.509856i
$405$	11.2815	+	7.95502i	0.560580	+	0.395288i
$406$	−2.58935	−	0.372293i	−0.128507	−	0.0184766i
$407$	11.5908	+	10.0435i	0.574534	+	0.497837i
$408$	−0.451813	−	3.40143i	−0.0223681	−	0.168396i
$409$	−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
$411$	19.0049	−	16.1136i	0.937441	−	0.794827i
$412$	4.85646	−	7.55681i	0.239261	−	0.372297i
$413$	14.9482			0.735554
$414$	6.89715	−	12.6265i	0.338977	−	0.620560i
$415$	3.89958			0.191423
$416$	2.74136	−	4.26564i	0.134406	−	0.209140i
$417$	14.3907	−	12.2015i	0.704717	−	0.597509i
$418$	−12.3634	−	27.0721i	−0.604715	−	1.32414i
$419$	−8.32917	−	2.44567i	−0.406907	−	0.119479i	0.0718728	−	0.997414i	$-0.477102\pi$
$419$	−8.32917	−	2.44567i	−0.406907	−	0.119479i	−0.478779	+	0.877935i	$0.658921\pi$
$420$	−0.349805	−	2.63347i	−0.0170688	−	0.128500i
$421$	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
$423$	−23.2848	−	3.86011i	−1.13214	−	0.187685i
$424$	5.31148	−	4.60242i	0.257948	−	0.223513i
$425$	−4.41224	+	2.83557i	−0.214025	+	0.137545i
$426$	19.9093	+	9.35203i	0.964609	+	0.453107i
$427$	−7.42789	−	8.57224i	−0.359461	−	0.414840i
$428$	2.77644	−	0.815235i	0.134204	−	0.0394059i
$429$	38.4149	−	17.0472i	1.85469	−	0.823045i
$430$	4.32955	−	4.99657i	0.208790	−	0.240956i
$431$	13.0947	−	28.6734i	0.630750	−	1.38115i	−0.276687	−	0.960960i	$-0.589236\pi$
$431$	13.0947	−	28.6734i	0.630750	−	1.38115i	0.907437	−	0.420189i	$-0.138036\pi$
$432$	5.11677	+	0.904829i	0.246180	+	0.0435336i
$433$	−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
$435$	6.94922	+	0.0746536i	0.333190	+	0.00357937i
$436$		−	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
$441$	2.99931	+	0.0644489i	0.142824	+	0.00306900i
$442$	−2.83004	+	9.63824i	−0.134611	+	0.458444i
$443$	29.3723	+	13.4139i	1.39552	+	0.637314i	0.964271	−	0.264918i	$-0.0853449\pi$
$443$	29.3723	+	13.4139i	1.39552	+	0.637314i	0.431251	+	0.902232i	$0.358072\pi$
$444$	0.848985	−	5.48581i	0.0402910	−	0.260345i
$445$	1.86815	−	12.9932i	0.0885586	−	0.615938i
$446$	2.51399	+	8.56186i	0.119041	+	0.405416i
$447$	7.98014	−	26.1359i	0.377447	−	1.23619i
$448$	−0.540641	−	0.841254i	−0.0255429	−	0.0397455i
$449$	−11.7363	−	18.2621i	−0.553872	−	0.861841i	0.445570	−	0.895247i	$-0.353001\pi$
$449$	−11.7363	−	18.2621i	−0.553872	−	0.861841i	−0.999442	+	0.0334058i	$0.989365\pi$
$450$	−2.07342	−	7.66704i	−0.0977418	−	0.361428i
$451$	−11.5819	−	39.4442i	−0.545368	−	1.85735i
$452$	−1.47862	+	10.2840i	−0.0695484	+	0.483720i
$453$	19.4099	+	3.00387i	0.911956	+	0.141134i
$454$	1.26136	+	0.576042i	0.0591983	+	0.0270350i
$455$	−2.19109	+	7.46218i	−0.102720	+	0.349832i
$456$	−5.92087	+	8.99902i	−0.277270	+	0.421418i
$457$	−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	$0.211289\pi$
$461$			26.4565i			1.23220i	−0.787667	+	0.616101i	$0.788711\pi$
$462$	0.0890360	−	8.28802i	0.00414233	−	0.385594i
$463$	−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
$465$	4.00074	+	14.1873i	0.185530	+	0.657921i
$466$	2.31836	−	5.07650i	0.107396	−	0.235164i
$467$	−1.14109	+	1.31688i	−0.0528031	+	0.0609381i	−0.781537	−	0.623859i	$-0.785564\pi$
$467$	−1.14109	+	1.31688i	−0.0528031	+	0.0609381i	0.728734	+	0.684797i	$0.240109\pi$
$468$	−12.6173	−	8.49710i	−0.583235	−	0.392779i
$469$	−1.26809	+	0.372344i	−0.0585549	+	0.0171933i
$470$	−7.90230	−	9.11974i	−0.364506	−	0.420662i
$471$	−16.3825	+	34.8763i	−0.754866	+	1.60701i
$472$	−12.5752	+	8.08161i	−0.578822	+	0.371986i
$473$	15.5891	−	13.5080i	0.716788	−	0.621100i
$474$	−15.8434	−	14.0292i	−0.727712	−	0.644382i
$475$	16.2979	+	2.34328i	0.747799	+	0.107517i
$476$	1.49719	+	1.29732i	0.0686235	+	0.0594626i
$477$	−13.4618	−	16.2274i	−0.616372	−	0.743001i
$478$	12.3619	+	3.62979i	0.565421	+	0.166023i
$479$	−12.7762	−	27.9761i	−0.583762	−	1.27826i	−0.939139	−	0.343537i	$-0.888375\pi$
$479$	−12.7762	−	27.9761i	−0.583762	−	1.27826i	0.355378	−	0.934723i	$-0.384352\pi$
$480$	1.71804	+	2.02630i	0.0784174	+	0.0924875i
$481$	−8.78590	+	13.6711i	−0.400603	+	0.623350i
$482$	−11.7467			−0.535049
$483$	1.85153	+	8.09764i	0.0842477	+	0.368456i
$484$	−11.8997			−0.540897
$485$	−1.99868	+	3.11000i	−0.0907552	+	0.141218i
$486$	3.04363	−	15.2884i	0.138062	−	0.693498i
$487$	−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
$489$	−18.4213	+	2.44691i	−0.833042	+	0.110653i
$490$	1.15916	+	1.00442i	0.0523656	+	0.0453750i
$491$	−13.9438	−	2.00481i	−0.629274	−	0.0904760i	−0.179704	−	0.983721i	$-0.557514\pi$
$491$	−13.9438	−	2.00481i	−0.629274	−	0.0904760i	−0.449571	+	0.893245i	$0.648423\pi$
$492$	−9.86419	+	11.1398i	−0.444712	+	0.502221i
$493$	−3.91661	+	3.39376i	−0.176395	+	0.152847i
$494$	26.5293	−	17.0493i	1.19361	−	0.767086i
$495$	2.66472	+	21.8574i	0.119770	+	0.982418i
$496$	3.63361	+	4.19341i	0.163154	+	0.188290i
$497$	−12.1852	+	3.57789i	−0.546580	+	0.160491i
$498$	−1.78620	−	4.02512i	−0.0800417	−	0.180370i
$499$	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
$501$	16.1812	−	4.56300i	0.722921	−	0.203860i
$502$	−10.2169	+	4.66591i	−0.456003	+	0.208250i
$503$	−3.98378	−	27.7078i	−0.177628	−	1.23543i	−0.862232	−	0.506514i	$-0.830934\pi$
$503$	−3.98378	−	27.7078i	−0.177628	−	1.23543i	0.684604	−	0.728916i	$-0.259975\pi$
$504$	−2.55802	+	1.56733i	−0.113943	+	0.0698144i
$505$		−	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	−0.377275	−	0.926101i	$-0.623139\pi$
$509$	−10.7922	+	1.55168i	−0.478354	+	0.0687769i	−0.101079	+	0.994878i	$0.532230\pi$
$510$	−4.39661	−	2.89274i	−0.194685	−	0.128092i
$511$	−3.73265	+	12.7122i	−0.165123	+	0.562356i
$512$	0.909632	+	0.415415i	0.0402004	+	0.0183589i
$513$	26.6092	+	18.3385i	1.17483	+	0.809664i
$514$	0.0246829	−	0.171674i	0.00108872	−	0.00757220i
$515$	−3.88163	−	13.2196i	−0.171045	−	0.582527i
$516$	−7.14058	−	2.18025i	−0.314346	−	0.0959801i
$517$	−20.3546	−	31.6723i	−0.895194	−	1.39295i
$518$	1.73272	+	2.69617i	0.0761314	+	0.118463i
$519$	33.0245	+	10.0834i	1.44961	+	0.442614i
$520$	−2.19109	−	7.46218i	−0.0960858	−	0.327238i
$521$	0.415870	−	2.89244i	0.0182196	−	0.126720i	−0.978682	−	0.205383i	$-0.934156\pi$
$521$	0.415870	−	2.89244i	0.0182196	−	0.126720i	0.996901	+	0.0786629i	$0.0250651\pi$
$522$	−3.10604	−	7.20712i	−0.135948	−	0.315447i
$523$	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
$525$	3.83078	+	2.52045i	0.167189	+	0.110001i
$526$	−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
$531$	23.4288	+	38.2379i	1.01672	+	1.65938i
$532$	−0.885098	−	6.15599i	−0.0383739	−	0.266896i
$533$	39.6232	−	18.0953i	1.71627	−	0.783794i
$534$	−14.2672	+	4.02327i	−0.617403	+	0.174104i
$535$	1.84372	−	4.03718i	0.0797109	−	0.174542i
$536$	0.865479	−	0.998816i	0.0373830	−	0.0431423i
$537$	−12.4941	−	28.1548i	−0.539161	−	1.21497i
$538$	−1.01869	+	0.299115i	−0.0439189	+	0.0128958i
$539$	3.13375	+	3.61654i	0.134980	+	0.155775i
$540$	6.18822	−	5.02233i	0.266299	−	0.216127i
$541$	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
$543$	−13.7711	+	15.5519i	−0.590973	+	0.667396i
$544$	−1.96090	−	0.281935i	−0.0840729	−	0.0120879i
$545$	−16.0622	−	13.9180i	−0.688031	−	0.596182i
$546$	8.70603	−	1.15643i	0.372584	−	0.0494904i
$547$	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
$549$	10.2860	−	32.4362i	0.438997	−	1.38434i
$550$	6.84948	−	10.6580i	0.292063	−	0.454459i
$551$	16.2696			0.693106
$552$	−5.93552	−	5.81116i	−0.252633	−	0.247339i
$553$	12.2179			0.519558
$554$	−9.68146	+	15.0646i	−0.411326	+	0.640035i
$555$	−5.50621	−	6.49417i	−0.233726	−	0.275662i
$556$	−4.52510	−	9.90858i	−0.191907	−	0.420217i
$557$	−24.9415	−	7.32348i	−1.05680	−	0.310306i	−0.293241	−	0.956039i	$-0.594734\pi$
$557$	−24.9415	−	7.32348i	−1.05680	−	0.310306i	−0.763563	+	0.645733i	$0.776552\pi$
$558$	12.8115	−	10.6280i	0.542354	−	0.449921i
$559$	16.5182	+	14.3131i	0.698647	+	0.605381i
$560$	−1.51818	−	0.218281i	−0.0641548	−	0.00922407i
$561$	−12.2932	−	10.8855i	−0.519020	−	0.459587i
$562$	3.12985	−	2.71203i	0.132025	−	0.114400i
$563$	−0.801344	+	0.514992i	−0.0337726	+	0.0217043i	−0.557418	−	0.830232i	$-0.688208\pi$
$563$	−0.801344	+	0.514992i	−0.0337726	+	0.0217043i	0.523646	+	0.851936i	$0.324572\pi$
$564$	−5.79367	+	12.3340i	−0.243957	+	0.519355i
$565$	10.4357	+	12.0434i	0.439033	+	0.506671i
$566$	−1.80074	+	0.528745i	−0.0756907	+	0.0222248i
$567$	4.53604	+	7.77331i	0.190496	+	0.326448i
$568$	8.31648	−	9.59773i	0.348952	−	0.402712i
$569$	−13.9588	+	30.5655i	−0.585182	+	1.28137i	0.353128	+	0.935575i	$0.385118\pi$
$569$	−13.9588	+	30.5655i	−0.585182	+	1.28137i	−0.938310	+	0.345795i	$0.887609\pi$
$570$	4.48428	+	15.9020i	0.187826	+	0.666063i
$571$	−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
$573$	−0.121495	+	11.3096i	−0.00507555	+	0.472463i
$574$		−	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
$579$	2.64324	−	4.01741i	0.109849	−	0.166958i
$580$	1.13041	−	3.84984i	0.0469379	−	0.159856i
$581$	2.31269	+	1.05617i	0.0959465	+	0.0438173i
$582$	4.12561	+	0.638480i	0.171012	+	0.0264659i
$583$	4.78633	−	33.2897i	0.198230	−	1.37872i
$584$	−3.73265	−	12.7122i	−0.154458	−	0.526036i
$585$	−22.5226	+	6.09083i	−0.931194	+	0.251825i
$586$	−3.38050	−	5.26016i	−0.139647	−	0.217295i
$587$	6.76581	+	10.5278i	0.279255	+	0.434529i	0.952341	−	0.305035i	$-0.0986681\pi$
$587$	6.76581	+	10.5278i	0.279255	+	0.434529i	−0.673086	+	0.739564i	$0.735032\pi$
$588$	0.505799	−	1.65655i	0.0208588	−	0.0683151i
$589$	9.72227	+	33.1110i	0.400599	+	1.36431i
$590$	−3.26291	+	22.6941i	−0.134332	+	0.934300i
$591$	0.139761	−	0.903080i	0.00574899	−	0.0371477i
$592$	−2.91532	−	1.33138i	−0.119819	−	0.0547194i
$593$	−1.86059	+	6.33660i	−0.0764054	+	0.260213i	−0.988834	−	0.149024i	$-0.952387\pi$
$593$	−1.86059	+	6.33660i	−0.0764054	+	0.260213i	0.912428	+	0.409237i	$0.134205\pi$
$594$	21.3405	−	12.7623i	0.875611	−	0.523644i
$595$	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	$-0.711696\pi$
$599$		−	38.5168i		−	1.57375i	0.617109	−	0.786877i	$-0.288304\pi$
$600$	−4.58531	−	0.0492588i	−0.187195	−	0.00201098i
$601$	−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
$603$	−2.93998	−	2.66021i	−0.119725	−	0.108332i
$604$	4.71068	−	10.3150i	0.191675	−	0.419710i
$605$	−11.9523	+	13.7937i	−0.485931	+	0.560794i
$606$	−24.7751	+	10.9943i	−1.00642	+	0.446614i
$607$	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
$609$	4.10109	+	1.92641i	0.166185	+	0.0780623i
$610$	14.6356	−	9.40571i	0.592577	−	0.380826i
$611$	30.1490	−	26.1243i	1.21970	−	1.05688i
$612$	−0.971987	+	5.86317i	−0.0392902	+	0.237005i
$613$	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
$615$	3.00505	+	22.6232i	0.121175	+	0.912257i
$616$	−4.59153	−	1.34819i	−0.184998	−	0.0543203i
$617$	4.25434	+	9.31571i	0.171273	+	0.375036i	0.975731	−	0.218974i	$-0.0702710\pi$
$617$	4.25434	+	9.31571i	0.171273	+	0.375036i	−0.804457	+	0.594011i	$0.797544\pi$
$618$	−11.8672	+	10.0619i	−0.477369	+	0.404747i
$619$	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
$621$	−17.8120	+	17.4279i	−0.714770	+	0.699359i
$622$	−3.59129			−0.143998
$623$	4.62704	−	7.19981i	0.185378	−	0.288454i
$624$	−6.69877	+	5.67968i	−0.268165	+	0.227369i
$625$	−1.97463	−	4.32384i	−0.0789853	−	0.172954i
$626$	−27.8643	−	8.18169i	−1.11368	−	0.327006i
$627$	6.78761	+	51.0998i	0.271071	+	2.04073i
$628$	16.8129	+	14.5685i	0.670908	+	0.581345i
$629$	6.28456	+	0.903584i	0.250582	+	0.0360283i
$630$	−0.752538	+	4.53942i	−0.0299818	+	0.180855i
$631$	−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
$633$	−41.0343	−	19.2751i	−1.63097	−	0.766118i
$634$	−9.25800	−	10.6843i	−0.367682	−	0.424328i
$635$	28.2867	−	8.30572i	1.12252	−	0.329602i
$636$	−11.1266	+	4.93761i	−0.441200	+	0.195789i
$637$	−3.32052	+	3.83209i	−0.131564	+	0.151833i
$638$	5.20034	−	11.3872i	0.205883	−	0.450822i
$639$	−28.2506	−	25.5622i	−1.11757	−	1.01123i
$640$	1.39519	−	0.637160i	0.0551495	−	0.0251860i
$641$	6.63517	+	46.1486i	0.262073	+	1.82276i	0.517213	+	0.855857i	$0.326969\pi$
$641$	6.63517	+	46.1486i	0.262073	+	1.82276i	−0.255140	+	0.966904i	$0.582122\pi$
$642$	−5.01166	−	0.0538389i	−0.197794	−	0.00212485i
$643$			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	−0.0441572	−	0.999025i	$-0.514060\pi$
$647$	4.95833	−	0.712900i	0.194932	−	0.0280270i	0.239089	+	0.970998i	$0.423151\pi$
$648$	−8.01853	−	4.08695i	−0.314998	−	0.160551i
$649$	−20.1531	+	68.6351i	−0.791078	+	2.69416i
$650$	12.2112	+	5.57665i	0.478961	+	0.218734i
$651$	−1.46984	+	9.49752i	−0.0576074	+	0.372237i
$652$	−1.52689	+	10.6198i	−0.0597978	+	0.415903i
$653$	−8.73674	−	29.7546i	−0.341895	−	1.16439i	−0.933625	−	0.358252i	$-0.883373\pi$
$653$	−8.73674	−	29.7546i	−0.341895	−	1.16439i	0.591730	−	0.806136i	$-0.298445\pi$
$654$	−7.00874	+	22.9545i	−0.274064	+	0.897591i
$655$	2.72483	+	4.23992i	0.106468	+	0.165667i
$656$	4.64445	+	7.22691i	0.181335	+	0.282163i
$657$	−38.3685	+	10.3761i	−1.49690	+	0.404809i
$658$	−2.21654	−	7.54884i	−0.0864097	−	0.294284i
$659$	2.83145	−	19.6932i	0.110298	−	0.767136i	−0.857332	−	0.514763i	$-0.827880\pi$
$659$	2.83145	−	19.6932i	0.110298	−	0.767136i	0.967630	−	0.252373i	$-0.0812111\pi$
$660$	12.5633	+	1.94429i	0.489024	+	0.0756814i
$661$	−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
$663$	9.56313	−	14.5348i	0.371401	−	0.564486i
$664$	−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
$669$	0.166026	−	15.4548i	0.00641895	−	0.597515i
$670$	−0.288485	−	2.00646i	−0.0111452	−	0.0775163i
$671$	49.3739	−	22.5483i	1.90606	−	0.870467i
$672$	0.470095	+	1.66704i	0.0181343	+	0.0643073i
$673$	−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
$675$	−0.443261	+	13.7496i	−0.0170611	+	0.529222i
$676$	12.1959	−	3.58104i	0.469073	−	0.137732i
$677$	8.08507	+	9.33067i	0.310735	+	0.358607i	0.889539	−	0.456860i	$-0.151026\pi$
$677$	8.08507	+	9.33067i	0.310735	+	0.358607i	−0.578804	+	0.815467i	$0.696480\pi$
$678$	7.65106	−	16.2881i	0.293837	−	0.625542i
$679$	−2.02766	+	1.30310i	−0.0778143	+	0.0500082i
$680$	−2.29637	+	1.98982i	−0.0880619	+	0.0763061i
$681$	−1.79814	−	1.59224i	−0.0689049	−	0.0610146i
$682$	26.2822	+	3.77881i	1.00640	+	0.144698i
$683$	24.8856	+	21.5635i	0.952220	+	0.825104i	0.984680	−	0.174369i	$-0.0557887\pi$
$683$	24.8856	+	21.5635i	0.952220	+	0.825104i	−0.0324600	+	0.999473i	$0.510334\pi$
$684$	14.3599	−	11.9126i	0.549066	−	0.455489i
$685$	−21.1707	−	6.21628i	−0.808891	−	0.237512i
$686$	0.415415	+	0.909632i	0.0158606	+	0.0347299i
$687$	11.3758	+	13.4170i	0.434016	+	0.511889i
$688$	−2.33043	+	3.62623i	−0.0888470	+	0.138249i
$689$	35.6365			1.35764
$690$	−12.6978	+	1.04340i	−0.483398	+	0.0397214i
$691$	−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
$693$	−4.33957	+	13.6845i	−0.164846	+	0.519831i
$694$	−4.39645	−	9.62688i	−0.166887	−	0.365431i
$695$	−16.0307	−	4.70705i	−0.608081	−	0.178549i
$696$	−4.49156	+	0.596615i	−0.170252	+	0.0226146i
$697$	−12.8618	−	11.1448i	−0.487176	−	0.422140i
$698$	−24.7151	−	3.55349i	−0.935480	−	0.134502i
$699$	−6.40817	+	7.23687i	−0.242379	+	0.273723i
$700$	2.00084	−	1.73373i	0.0756245	−	0.0655290i
$701$	−22.9891	+	14.7742i	−0.868287	+	0.558014i	−0.897228	−	0.441567i	$-0.854423\pi$
$701$	−22.9891	+	14.7742i	−0.868287	+	0.558014i	0.0289410	+	0.999581i	$0.490787\pi$
$702$	16.6034	+	20.4577i	0.626654	+	0.772127i
$703$	−13.0530	−	15.0640i	−0.492303	−	0.568148i
$704$	4.59153	−	1.34819i	0.173050	−	0.0508120i
$705$	8.47782	+	19.1043i	0.319293	+	0.719510i
$706$	10.5662	−	12.1941i	0.397666	−	0.458930i
$707$	6.50087	−	14.2349i	0.244490	−	0.535359i
$708$	24.9192	−	7.02708i	0.936522	−	0.264094i
$709$	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
$711$	19.1495	+	31.2537i	0.718162	+	1.17210i
$712$			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
$717$	−18.6422	−	12.2656i	−0.696207	−	0.458067i
$718$	2.17016	−	7.39088i	0.0809896	−	0.275825i
$719$	−21.8317	−	9.97019i	−0.814184	−	0.371825i	−0.0356002	−	0.999366i	$-0.511334\pi$
$719$	−21.8317	−	9.97019i	−0.814184	−	0.371825i	−0.778584	+	0.627541i	$0.784062\pi$
$720$	−1.82112	−	4.22565i	−0.0678691	−	0.157481i
$721$	1.27838	−	8.89136i	0.0476095	−	0.331132i
$722$	5.54440	+	18.8825i	0.206341	+	0.702734i
$723$	19.4591	+	5.94149i	0.723691	+	0.220966i
$724$	6.48397	+	10.0892i	0.240975	+	0.374964i
$725$	3.74435	+	5.82632i	0.139062	+	0.216384i
$726$	19.7125	+	6.01887i	0.731601	+	0.223381i
$727$	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
$729$	−12.7748	+	23.7866i	−0.473141	+	0.880987i
$730$	−18.4847	−	8.44167i	−0.684149	−	0.312440i
$731$	2.40582	−	8.19348i	0.0889825	−	0.303047i
$732$	−16.4123	−	10.7984i	−0.606617	−	0.399121i
$733$	−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
$738$	21.9751	−	13.4644i	0.808913	−	0.495631i
$739$	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
$741$	−52.5707	+	14.8246i	−1.93123	+	0.544597i
$742$	2.91958	−	6.39298i	0.107181	−	0.234694i
$743$	−10.2876	+	11.8726i	−0.377417	+	0.435562i	−0.912399	−	0.409301i	$-0.865773\pi$
$743$	−10.2876	+	11.8726i	−0.377417	+	0.435562i	0.534983	+	0.844863i	$0.320318\pi$
$744$	−3.89824	−	8.78448i	−0.142916	−	0.322055i
$745$	−23.2188	+	6.81766i	−0.850672	+	0.249780i
$746$	−0.970626	−	1.12016i	−0.0355371	−	0.0410120i
$747$	0.923042	+	7.57128i	0.0337724	+	0.277019i
$748$	−7.97518	+	5.12534i	−0.291601	+	0.187401i
$749$	2.18687	−	1.89494i	0.0799067	−	0.0692395i
$750$	−13.4685	+	15.2103i	−0.491802	+	0.555400i
$751$	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
$753$	19.2849	−	2.56162i	0.702780	−	0.0933505i
$754$	12.7272	+	3.73705i	0.463498	+	0.136095i
$755$	−7.22521	−	15.8210i	−0.262952	−	0.575785i
$756$	5.03025	−	1.30252i	0.182949	−	0.0473722i
$757$	−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
$759$	−39.6768	−	2.41583i	−1.44018	−	0.0876891i
$760$	9.53910			0.346020
$761$	−5.54222	+	8.62387i	−0.200905	+	0.312615i	−0.927057	−	0.374919i	$-0.877670\pi$
$761$	−5.54222	+	8.62387i	−0.200905	+	0.312615i	0.726152	+	0.687534i	$0.241307\pi$
$762$	−21.5298	−	25.3928i	−0.779943	−	0.919886i
$763$	−5.75631	−	12.6046i	−0.208392	−	0.456316i
$764$	6.26544	+	1.83970i	0.226676	+	0.0665580i
$765$	5.82008	+	7.01577i	0.210425	+	0.253656i
$766$	−16.1753	−	14.0160i	−0.584437	−	0.506418i
$767$	−75.0246	−	10.7869i	−2.70898	−	0.389493i
$768$	−1.29674	−	1.14825i	−0.0467920	−	0.0414338i
$769$	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
$771$	−0.127721	+	0.271902i	−0.00459976	+	0.00979230i
$772$	−1.81820	−	2.09831i	−0.0654383	−	0.0755199i
$773$	−23.0313	+	6.76259i	−0.828377	+	0.243233i	−0.668320	−	0.743874i	$-0.732986\pi$
$773$	−23.0313	+	6.76259i	−0.828377	+	0.243233i	−0.160057	+	0.987108i	$0.551168\pi$
$774$	10.7260	+	7.22340i	0.385537	+	0.259640i
$775$	−9.61992	+	11.1020i	−0.345558	+	0.398795i
$776$	1.00127	−	2.19247i	0.0359434	−	0.0787050i
$777$	−1.50663	−	5.34275i	−0.0540499	−	0.191670i
$778$	18.9375	−	8.64846i	0.678942	−	0.310062i
$779$	7.60357	+	52.8840i	0.272426	+	1.89476i
$780$	−0.144702	+	13.4697i	−0.00518116	+	0.482294i
$781$		−	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
$786$	3.12830	−	4.75465i	0.111583	−	0.169593i
$787$	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
$789$	14.8662	+	2.30069i	0.529250	+	0.0819068i
$790$	−2.66694	+	18.5490i	−0.0948854	+	0.659943i
$791$	2.92714	+	9.96892i	0.104077	+	0.354454i
$792$	−3.74773	−	13.8583i	−0.133170	−	0.492433i
$793$	31.0944	+	48.3839i	1.10420	+	1.71816i
$794$	17.8117	+	27.7155i	0.632113	+	0.983588i
$795$	−5.45233	+	17.8570i	−0.193374	+	0.633323i
$796$	−5.25204	−	17.8868i	−0.186154	−	0.633981i
$797$	3.95645	−	27.5177i	0.140145	−	0.974727i	−0.791452	−	0.611232i	$-0.790674\pi$
$797$	3.95645	−	27.5177i	0.140145	−	0.974727i	0.931596	−	0.363495i	$-0.118417\pi$
$798$	−1.64748	+	10.6454i	−0.0583203	+	0.376843i
$799$	−14.1776	−	6.47469i	−0.501567	−	0.229058i
$800$	−0.745883	+	2.54024i	−0.0263709	+	0.0898112i
$801$	25.6694	+	0.551582i	0.906983	+	0.0194892i
$802$	−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
$807$	1.83881	+	0.0197538i	0.0647291	+	0.000695368i
$808$	2.22710	+	15.4898i	0.0783490	+	0.544929i
$809$	27.6779	−	12.6401i	0.973104	−	0.444402i	0.135559	−	0.990769i	$-0.456717\pi$
$809$	27.6779	−	12.6401i	0.973104	−	0.444402i	0.837546	+	0.546368i	$0.183990\pi$
$810$	−12.7914	+	5.18976i	−0.449444	+	0.182350i
$811$	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
$813$	49.2320	−	21.8474i	1.72664	−	0.766222i
$814$	−14.7156	+	4.32088i	−0.515780	+	0.151447i
$815$	10.7764	+	12.4366i	0.377481	+	0.435636i
$816$	3.10573	+	1.45886i	0.108722	+	0.0510703i
$817$	−22.5526	+	14.4937i	−0.789015	+	0.507069i
$818$	8.12680	−	7.04191i	0.284147	−	0.246215i
$819$	−15.0069	−	2.48782i	−0.524384	−	0.0869316i
$820$	13.0421	+	1.87518i	0.455451	+	0.0654840i
$821$	−20.1876	−	17.4926i	−0.704552	−	0.610498i	0.227091	−	0.973874i	$-0.427079\pi$
$821$	−20.1876	−	17.4926i	−0.704552	−	0.610498i	−0.931643	+	0.363376i	$0.881624\pi$
$822$	3.28086	+	24.6996i	0.114433	+	0.861497i
$823$	−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
$825$	−16.7373	+	14.1911i	−0.582719	+	0.494070i
$826$	−8.08161	+	12.5752i	−0.281195	+	0.437548i
$827$	−12.7885			−0.444700			−0.222350	−	0.974967i	$-0.571373\pi$
$827$	−12.7885			−0.444700			−0.222350	+	0.974967i	$0.571373\pi$
$828$	6.89323	+	12.6287i	0.239556	+	0.438877i
$829$	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
$831$	23.6575	−	20.0585i	0.820671	−	0.695822i
$832$	2.10639	+	4.61236i	0.0730261	+	0.159905i
$833$	1.90082	+	0.558130i	0.0658594	+	0.0193381i
$834$	2.48431	+	18.7029i	0.0860246	+	0.647627i
$835$	−11.2515	−	9.74944i	−0.389373	−	0.337393i
$836$	29.4587	+	4.23552i	1.01885	+	0.146489i
$837$	−26.5986	+	11.1259i	−0.919382	+	0.384567i
$838$	6.56051	−	5.68472i	0.226629	−	0.196375i
$839$	−31.3162	+	20.1257i	−1.08116	+	0.694816i	−0.954824	−	0.297172i	$-0.903957\pi$
$839$	−31.3162	+	20.1257i	−1.08116	+	0.694816i	−0.126331	+	0.991988i	$0.540320\pi$
$840$	2.40454	+	1.12949i	0.0829644	+	0.0389710i
$841$	−14.5095	−	16.7449i	−0.500328	−	0.577410i
$842$	−6.16258	+	1.80950i	−0.212377	+	0.0623594i
$843$	−6.55649	+	2.90954i	−0.225818	+	0.100210i
$844$	−17.1408	+	19.7815i	−0.590011	+	0.680908i
$845$	8.09879	−	17.7339i	0.278607	−	0.610064i
$846$	15.8360	−	17.5015i	0.544454	−	0.601713i
$847$	−10.8244	+	4.94333i	−0.371930	+	0.169855i
$848$	1.00020	+	6.95656i	0.0343471	+	0.238889i
$849$	3.25046	+	0.0349188i	0.111555	+	0.00119841i
$850$		−	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
$855$	0.614785	−	28.6107i	0.0210252	−	0.978465i
$856$	−0.815235	+	2.77644i	−0.0278642	+	0.0948967i
$857$	13.2793	+	6.06444i	0.453612	+	0.207157i	0.629101	−	0.777324i	$-0.283423\pi$
$857$	13.2793	+	6.06444i	0.453612	+	0.207157i	−0.175489	+	0.984481i	$0.556151\pi$
$858$	−6.42766	+	41.5330i	−0.219437	+	1.41791i
$859$	−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
$861$	−4.34514	+	14.2309i	−0.148082	+	0.484986i
$862$	17.0421	+	26.5180i	0.580455	+	0.903206i
$863$	−24.8544	−	38.6743i	−0.846055	−	1.31649i	−0.946881	−	0.321583i	$-0.895785\pi$
$863$	−24.8544	−	38.6743i	−0.846055	−	1.31649i	0.100827	−	0.994904i	$-0.467851\pi$
$864$	−3.52752	+	3.81531i	−0.120009	+	0.129799i
$865$	−8.61457	−	29.3385i	−0.292904	−	0.997540i
$866$	4.52463	−	31.4695i	0.153753	−	1.06938i
$867$	22.3808	+	3.46365i	0.760092	+	0.117632i
$868$	5.04725	+	2.30500i	0.171315	+	0.0782369i
$869$	−16.4721	+	56.0988i	−0.558778	+	1.90302i
$870$	−3.81983	+	5.80569i	−0.129505	+	0.196831i
$871$	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
$876$	−0.246508	+	22.9465i	−0.00832872	+	0.775289i
$877$	−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
$879$	2.93939	+	10.4236i	0.0991432	+	0.351579i
$880$	3.04904	−	6.67647i	0.102783	−	0.225064i
$881$	−9.35424	+	10.7954i	−0.315152	+	0.363705i	−0.891120	−	0.453767i	$-0.850080\pi$
$881$	−9.35424	+	10.7954i	−0.315152	+	0.363705i	0.575968	+	0.817472i	$0.304625\pi$
$882$	−1.67577	+	2.48833i	−0.0564260	+	0.0837866i
$883$	−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
$885$	16.8838	−	35.9435i	0.567544	−	1.20823i
$886$	−27.1644	+	17.4575i	−0.912605	+	0.586496i
$887$	−10.0596	+	8.71666i	−0.337767	+	0.292677i	−0.807184	−	0.590300i	$-0.799010\pi$
$887$	−10.0596	+	8.71666i	−0.337767	+	0.292677i	0.469417	+	0.882977i	$0.344464\pi$
$888$	4.15596	+	3.68007i	0.139465	+	0.123495i
$889$	19.0253	+	2.73542i	0.638087	+	0.0917430i
$890$	9.92061	+	8.59626i	0.332540	+	0.288147i
$891$	−41.8068	+	10.3474i	−1.40058	+	0.346652i
$892$	−8.56186	−	2.51399i	−0.286672	−	0.0841746i
$893$	20.3265	+	44.5087i	0.680199	+	1.48943i
$894$	17.6725	+	20.8435i	0.591058	+	0.697109i
$895$	−14.7469	+	22.9466i	−0.492935	+	0.767021i
$896$	1.00000			0.0334077
$897$	−3.44937	−	41.9779i	−0.115171	−	1.40160i
$898$	21.7082			0.724412
$899$	−7.84752	+	12.2110i	−0.261729	+	0.407259i
$900$	7.57090	+	2.40085i	0.252363	+	0.0800283i
$901$	−5.78386	−	12.6649i	−0.192688	−	0.421929i
$902$	39.4442	+	11.5819i	1.31335	+	0.385633i
$903$	−7.40101	+	0.983079i	−0.246290	+	0.0327148i
$904$	−7.85207	−	6.80386i	−0.261156	−	0.226293i
$905$	18.2077	+	2.61787i	0.605244	+	0.0870210i
$906$	−13.0208	+	14.7046i	−0.432587	+	0.488528i
$907$	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
$909$	46.6022	−	5.68145i	1.54570	−	0.188442i
$910$	−5.09299	−	5.87762i	−0.168831	−	0.194841i
$911$	52.6801	−	15.4683i	1.74537	−	0.512487i	0.755585	−	0.655051i	$-0.227353\pi$
$911$	52.6801	−	15.4683i	1.74537	−	0.512487i	0.989786	+	0.142564i	$0.0455347\pi$
$912$	−4.36939	−	9.84619i	−0.144685	−	0.326040i
$913$	−7.96738	+	9.19485i	−0.263682	+	0.304305i
$914$	0.819889	−	1.79531i	0.0271195	−	0.0593834i
$915$	−29.0020	+	8.17839i	−0.958776	+	0.270369i
$916$	9.23810	−	4.21890i	0.305235	−	0.139396i
$917$	0.467643	+	3.25253i	0.0154429	+	0.107408i
$918$	4.57573	−	9.22102i	0.151022	−	0.304339i
$919$		−	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
$924$	6.92419	+	4.55574i	0.227789	+	0.149873i
$925$	2.39051	−	8.14133i	0.0785995	−	0.267685i
$926$	7.92459	+	3.61904i	0.260418	+	0.118929i
$927$	24.7479	−	10.6656i	0.812829	−	0.350303i
$928$	−0.372293	+	2.58935i	−0.0122211	+	0.0849996i
$929$	−3.33867	−	11.3705i	−0.109538	−	0.373053i	0.886419	−	0.462884i	$-0.153185\pi$
$929$	−3.33867	−	11.3705i	−0.109538	−	0.373053i	−0.995957	+	0.0898311i	$0.971367\pi$
$930$	−14.0981	−	4.30461i	−0.462295	−	0.141154i
$931$	−3.36241	−	5.23201i	−0.110198	−	0.171472i
$932$	3.01722	+	4.69489i	0.0988324	+	0.153786i
$933$	5.94916	+	1.81647i	0.194767	+	0.0594686i
$934$	−0.490915	−	1.67190i	−0.0160632	−	0.0547063i
$935$	−2.06933	+	14.3925i	−0.0676744	+	0.470686i
$936$	13.9696	−	6.02046i	0.456612	−	0.196785i
$937$	−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
$939$	42.0204	+	27.6471i	1.37128	+	0.902230i
$940$	11.9443	−	1.71733i	0.389581	−	0.0560132i
$941$	2.36081	+	1.51720i	0.0769602	+	0.0494593i	0.578555	−	0.815643i	$-0.303617\pi$
$941$	2.36081	+	1.51720i	0.0769602	+	0.0494593i	−0.501595	+	0.865103i	$0.667253\pi$
$942$	−20.4827	−	32.6374i	−0.667364	−	1.06338i
$943$	−41.1477	−	2.06200i	−1.33995	−	0.0671481i
$944$		−	14.9482i		−	0.486523i
$945$	3.54265	−	7.13915i	0.115242	−	0.232237i
$946$	2.93558	+	20.4174i	0.0954438	+	0.663826i
$947$	−40.3558	+	18.4299i	−1.31139	+	0.598890i	−0.943621	−	0.331029i	$-0.892604\pi$
$947$	−40.3558	+	18.4299i	−1.31139	+	0.598890i	−0.367765	+	0.929919i	$0.619877\pi$
$948$	20.3677	−	5.74357i	0.661512	−	0.186543i
$949$	27.9074	−	61.1087i	0.905913	−	1.98367i
$950$	−10.7826	+	12.4438i	−0.349834	+	0.403730i
$951$	9.93226	+	22.3818i	0.322076	+	0.725780i
$952$	−1.90082	+	0.558130i	−0.0616058	+	0.0180891i
$953$	2.03097	+	2.34387i	0.0657897	+	0.0759254i	0.787690	−	0.616071i	$-0.211277\pi$
$953$	2.03097	+	2.34387i	0.0657897	+	0.0759254i	−0.721901	+	0.691997i	$0.756731\pi$
$954$	20.9293	−	2.55157i	0.677612	−	0.0826102i
$955$	8.42564	−	5.41483i	0.272647	−	0.175220i
$956$	−9.73693	+	8.43710i	−0.314915	+	0.272875i
$957$	−14.3742	+	16.2331i	−0.464653	+	0.524741i
$958$	30.4423	+	4.37695i	0.983547	+	0.141413i
$959$	−10.8719	−	9.42055i	−0.351072	−	0.304205i
$960$	−2.63347	+	0.349805i	−0.0849950	+	0.0112899i
$961$	0.203632	+	0.0597916i	0.00656876	+	0.00192876i
$962$	−6.75087	−	14.7823i	−0.217657	−	0.476602i
$963$	8.27485	+	2.62408i	0.266653	+	0.0845598i
$964$	6.35076	−	9.88198i	0.204544	−	0.318277i
$965$	−4.25852			−0.137086
$966$	−7.81319	−	2.82031i	−0.251385	−	0.0907419i
$967$	−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
$969$	13.8009	+	16.2771i	0.443348	+	0.522896i
$970$	−1.53573	−	3.36279i	−0.0493094	−	0.107973i
$971$	−27.1365	−	7.96799i	−0.870851	−	0.255705i	−0.184374	−	0.982856i	$-0.559026\pi$
$971$	−27.1365	−	7.96799i	−0.870851	−	0.255705i	−0.686477	+	0.727151i	$0.740844\pi$
$972$	11.2159	+	10.8260i	0.359751	+	0.347245i
$973$	−8.23234	−	7.13337i	−0.263917	−	0.228685i
$974$	5.26124	+	0.756453i	0.168581	+	0.0242383i
$975$	−17.4078	−	15.4144i	−0.557494	−	0.493656i
$976$	−8.57224	+	7.42789i	−0.274391	+	0.237761i
$977$	20.9846	−	13.4860i	0.671358	−	0.431455i	−0.160057	−	0.987108i	$-0.551168\pi$
$977$	20.9846	−	13.4860i	0.671358	−	0.431455i	0.831415	+	0.555652i	$0.187531\pi$
$978$	7.90085	−	16.8199i	0.252641	−	0.537842i
$979$	26.8200	+	30.9519i	0.857170	+	0.989227i
$980$	−1.47166	+	0.432119i	−0.0470105	+	0.0138035i
$981$	23.2207	−	34.4803i	0.741380	−	1.10087i
$982$	9.22514	−	10.6464i	0.294386	−	0.339739i
$983$	7.34481	−	16.0829i	0.234263	−	0.512965i	−0.755592	−	0.655042i	$-0.772651\pi$
$983$	7.34481	−	16.0829i	0.234263	−	0.512965i	0.989856	+	0.142077i	$0.0453781\pi$
$984$	−4.03842	−	14.3209i	−0.128740	−	0.456534i
$985$	−0.736100	+	0.336166i	−0.0234541	+	0.0107111i
$986$	−0.737535	−	5.12967i	−0.0234879	−	0.163362i
$987$	−0.146382	+	13.6262i	−0.00465940	+	0.433726i
$988$			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
$993$	18.9616	−	28.8194i	0.601728	−	0.914556i
$994$	3.57789	−	12.1852i	0.113484	−	0.386491i
$995$	−26.0089	−	11.8779i	−0.824539	−	0.376554i
$996$	4.35184	+	0.673491i	0.137893	+	0.0213404i
$997$	−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
$999$	11.3055	−	12.2278i	0.357690	−	0.386872i

Twists

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

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

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)

\(f(q)\)	\(=\)	\(q+(-0.540641 + 0.841254i) q^{2} +(1.32111 - 1.12013i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-1.47166 - 0.432119i) q^{5} +(0.228066 + 1.71697i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(0.989821 + 0.142315i) q^{8} +(0.490639 - 2.95961i) q^{9} +O(q^{10})\)	\(q+(-0.540641 + 0.841254i) q^{2} +(1.32111 - 1.12013i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-1.47166 - 0.432119i) q^{5} +(0.228066 + 1.71697i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(0.989821 + 0.142315i) q^{8} +(0.490639 - 2.95961i) q^{9} +(1.15916 - 1.00442i) q^{10} +(4.02571 - 2.58716i) q^{11} +(-1.56771 - 0.736403i) q^{12} +(3.32052 + 3.83209i) q^{13} +(0.959493 - 0.281733i) q^{14} +(-2.42825 + 1.07757i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(0.822964 - 1.80204i) q^{17} +(2.22452 + 2.01284i) q^{18} +(-5.65727 + 2.58359i) q^{19} +(0.218281 + 1.51818i) q^{20} +(-1.73195 - 0.0186059i) 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} +(-2.66694 - 4.45953i) q^{27} +(-0.281733 + 0.959493i) q^{28} +(-2.37958 - 1.08672i) q^{29} +(0.406299 - 2.62535i) q^{30} +(0.789658 - 5.49220i) q^{31} +(-0.281733 - 0.959493i) q^{32} +(2.42043 - 7.92721i) q^{33} +(1.07104 + 1.66658i) q^{34} +(0.829230 + 1.29031i) q^{35} +(-2.89597 + 0.783164i) q^{36} +(0.902936 + 3.07512i) q^{37} +(0.885098 - 6.15599i) q^{38} +(8.67918 + 1.34319i) q^{39} +(-1.39519 - 0.637160i) q^{40} +(2.42026 - 8.24266i) q^{41} +(0.952016 - 1.44695i) 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} +(-0.0186059 + 1.73195i) q^{48} +(0.142315 + 0.989821i) q^{49} +(2.40824 - 1.09980i) q^{50} +(-0.931288 - 3.30251i) q^{51} +(2.10639 - 4.61236i) q^{52} +(4.60242 - 5.31148i) q^{53} +(5.19345 + 0.167427i) q^{54} +(-7.04244 + 2.06785i) q^{55} +(-0.654861 - 0.755750i) q^{56} +(-4.57991 + 9.75005i) q^{57} +(2.20070 - 1.41431i) q^{58} +(-11.2971 + 9.78900i) q^{59} +(1.98892 + 1.76117i) q^{60} +(11.2272 + 1.61423i) q^{61} +(4.19341 + 3.63361i) q^{62} +(-2.30893 + 1.91542i) q^{63} +(0.959493 + 0.281733i) q^{64} +(-3.23077 - 7.07440i) q^{65} +(5.36021 + 6.32197i) q^{66} +(0.714523 - 1.11182i) q^{67} -1.98106 q^{68} +(-6.70212 - 4.90729i) q^{69} -1.53379 q^{70} +(6.86593 - 10.6836i) q^{71} +(0.906841 - 2.85966i) q^{72} +(-5.50379 - 12.0516i) q^{73} +(-3.07512 - 0.902936i) q^{74} +(-4.54565 + 0.603801i) q^{75} +(4.70023 + 4.07277i) q^{76} +(-4.73666 - 0.681029i) q^{77} +(-5.82228 + 6.57521i) q^{78} +(-9.23367 + 8.00102i) q^{79} +(1.29031 - 0.829230i) q^{80} +(-8.51855 - 2.90420i) q^{81} +(5.62568 + 6.49238i) q^{82} +(-2.43946 + 0.716290i) q^{83} +(0.702554 + 1.58317i) q^{84} +(-1.98982 + 2.29637i) q^{85} +(-1.79065 + 3.92097i) q^{86} +(-4.36093 + 1.22976i) q^{87} +(4.35292 - 1.98791i) q^{88} +(1.21799 + 8.47132i) q^{89} +(-2.40396 - 3.92347i) 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} +(-1.44695 - 0.952016i) q^{96} +(0.679054 - 2.31265i) q^{97} +(-0.909632 - 0.415415i) q^{98} +(-5.68182 - 13.1839i) 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	\( 240 q - 4 q^{3} + 24 q^{4} - 4 q^{5} + 4 q^{9} + 4 q^{12} - 8 q^{13} + 24 q^{14} + 18 q^{15} - 24 q^{16} + 32 q^{17} - 4 q^{18} + 4 q^{20} - 8 q^{23} + 12 q^{25} - 148 q^{27} + 40 q^{30} + 16 q^{31} + 42 q^{33} - 4 q^{36} + 22 q^{37} + 8 q^{39} + 154 q^{41} + 4 q^{42} + 22 q^{43} + 24 q^{45} + 4 q^{46} - 4 q^{48} + 24 q^{49} + 88 q^{50} + 24 q^{51} + 8 q^{52} - 108 q^{53} + 12 q^{54} - 16 q^{55} - 24 q^{56} - 62 q^{57} - 4 q^{58} + 22 q^{59} - 18 q^{60} - 4 q^{63} + 24 q^{64} - 100 q^{66} - 44 q^{67} - 32 q^{68} - 86 q^{69} + 4 q^{70} + 4 q^{72} - 12 q^{73} - 16 q^{74} - 26 q^{75} - 78 q^{78} - 4 q^{80} + 52 q^{81} + 8 q^{82} + 16 q^{83} - 28 q^{85} + 16 q^{86} - 196 q^{87} + 24 q^{89} + 126 q^{90} + 8 q^{92} - 16 q^{93} - 8 q^{94} + 132 q^{97} + 172 q^{99}+O(q^{100}) \) 240 * q - 4 * q^3 + 24 * q^4 - 4 * q^5 + 4 * q^9 + 4 * q^12 - 8 * q^13 + 24 * q^14 + 18 * q^15 - 24 * q^16 + 32 * q^17 - 4 * q^18 + 4 * q^20 - 8 * q^23 + 12 * q^25 - 148 * q^27 + 40 * q^30 + 16 * q^31 + 42 * 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 - 62 * q^57 - 4 * q^58 + 22 * q^59 - 18 * q^60 - 4 * q^63 + 24 * q^64 - 100 * 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 + 52 * q^81 + 8 * q^82 + 16 * q^83 - 28 * q^85 + 16 * q^86 - 196 * 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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