LMFDB - Embedded newform 260.2.bg.c.23.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(23,260)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(260, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 9, 10]))

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

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

chi := DirichletCharacter("260.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.bg (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.07611045255$
Analytic rank:	$0$
Dimension:	$144$
Relative dimension:	$36$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			23.13
Character	$\chi$	$=$	260.23
Dual form			260.2.bg.c.147.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.633301 - 1.26449i) q^{2} +(1.48318 + 0.397416i) q^{3} +(-1.19786 + 1.60160i) q^{4} +(-1.88795 + 1.19818i) q^{5} +(-0.436769 - 2.12715i) q^{6} +(0.726248 + 2.71040i) q^{7} +(2.78381 + 0.500385i) q^{8} +(-0.556198 - 0.321121i) q^{9} +O(q^{10})$	\(q+(-0.633301 - 1.26449i) q^{2} +(1.48318 + 0.397416i) q^{3} +(-1.19786 + 1.60160i) q^{4} +(-1.88795 + 1.19818i) q^{5} +(-0.436769 - 2.12715i) q^{6} +(0.726248 + 2.71040i) q^{7} +(2.78381 + 0.500385i) q^{8} +(-0.556198 - 0.321121i) q^{9} +(2.71072 + 1.62849i) q^{10} +(1.76830 + 3.06279i) q^{11} +(-2.41314 + 1.89941i) q^{12} +(3.10452 - 1.83357i) q^{13} +(2.96733 - 2.63483i) q^{14} +(-3.27635 + 1.02681i) q^{15} +(-1.13026 - 3.83699i) q^{16} +(1.59505 + 5.95282i) q^{17} +(-0.0538132 + 0.906671i) q^{18} +(4.02951 + 2.32644i) q^{19} +(0.342501 - 4.45900i) q^{20} +4.30862i q^{21} +(2.75299 - 4.17566i) q^{22} +(-7.99597 - 2.14251i) q^{23} +(3.93003 + 1.84849i) q^{24} +(2.12874 - 4.52421i) q^{25} +(-4.28462 - 2.76442i) q^{26} +(-3.95461 - 3.95461i) q^{27} +(-5.21092 - 2.08351i) q^{28} +(-1.99058 + 1.14926i) q^{29} +(3.37330 + 3.49263i) q^{30} +2.36728 q^{31} +(-4.13604 + 3.85917i) q^{32} +(1.40551 + 5.24542i) q^{33} +(6.51712 - 5.78685i) q^{34} +(-4.61866 - 4.24693i) q^{35} +(1.18056 - 0.506149i) q^{36} +(0.709659 - 2.64848i) q^{37} +(0.389863 - 6.56861i) q^{38} +(5.33324 - 1.48572i) q^{39} +(-5.85526 + 2.39080i) q^{40} +(10.4735 - 6.04688i) q^{41} +(5.44820 - 2.72865i) q^{42} +(0.196821 + 0.734548i) q^{43} +(-7.02355 - 0.836678i) q^{44} +(1.43484 - 0.0601625i) q^{45} +(2.35467 + 11.4677i) q^{46} +(-0.970769 + 0.970769i) q^{47} +(-0.151493 - 6.14013i) q^{48} +(-0.756628 + 0.436839i) q^{49} +(-7.06894 + 0.173420i) q^{50} +9.46299i q^{51} +(-0.782130 + 7.16856i) q^{52} +(-7.21870 - 7.21870i) q^{53} +(-2.49610 + 7.50501i) q^{54} +(-7.00824 - 3.66366i) q^{55} +(0.665499 + 7.90864i) q^{56} +(5.05192 + 5.05192i) q^{57} +(2.71386 + 1.78923i) q^{58} +(-4.02191 - 2.32205i) q^{59} +(2.28007 - 6.47738i) q^{60} +(-1.50326 + 2.60372i) q^{61} +(-1.49920 - 2.99340i) q^{62} +(0.466427 - 1.74073i) q^{63} +(7.49923 + 2.78596i) q^{64} +(-3.66424 + 7.18146i) q^{65} +(5.74266 - 5.09917i) q^{66} +(-8.39173 - 2.24856i) q^{67} +(-11.4447 - 4.57600i) q^{68} +(-11.0080 - 6.35546i) q^{69} +(-2.44519 + 8.52982i) q^{70} +(-0.333077 + 0.576907i) q^{71} +(-1.38767 - 1.17225i) q^{72} +(0.774938 - 0.774938i) q^{73} +(-3.79840 + 0.779931i) q^{74} +(4.95529 - 5.86421i) q^{75} +(-8.55282 + 3.66692i) q^{76} +(-7.01714 + 7.01714i) q^{77} +(-5.25623 - 5.80291i) q^{78} +13.5972 q^{79} +(6.73128 + 5.88981i) q^{80} +(-3.33040 - 5.76842i) q^{81} +(-14.2791 - 9.41412i) q^{82} +(6.58933 + 6.58933i) q^{83} +(-6.90070 - 5.16113i) q^{84} +(-10.1439 - 9.32748i) q^{85} +(0.804180 - 0.714068i) q^{86} +(-3.40911 + 0.913469i) q^{87} +(3.39005 + 9.41107i) q^{88} +(3.02539 + 5.24012i) q^{89} +(-0.984757 - 1.77623i) q^{90} +(7.22435 + 7.08284i) q^{91} +(13.0095 - 10.2399i) q^{92} +(3.51111 + 0.940798i) q^{93} +(1.84231 + 0.612737i) q^{94} +(-10.3950 + 0.435862i) q^{95} +(-7.66818 + 4.08011i) q^{96} +(2.15544 - 0.577547i) q^{97} +(1.03155 + 0.680096i) q^{98} -2.27136i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 144 q - 6 q^{2} - 12 q^{6}+O(q^{10}) $ 144 * q - 6 * q^2 - 12 * q^6	$ 144 q - 6 q^{2} - 12 q^{6} + 12 q^{10} - 12 q^{12} + 4 q^{13} - 12 q^{16} - 24 q^{17} - 42 q^{20} - 12 q^{22} - 24 q^{25} - 36 q^{26} - 6 q^{28} - 36 q^{32} - 12 q^{33} - 76 q^{36} + 48 q^{37} - 16 q^{38} + 76 q^{40} - 72 q^{41} + 40 q^{42} - 120 q^{45} - 12 q^{46} - 40 q^{48} + 120 q^{50} - 10 q^{52} + 8 q^{53} - 20 q^{56} + 126 q^{58} + 16 q^{61} - 44 q^{62} + 32 q^{65} + 96 q^{66} - 64 q^{68} - 54 q^{72} - 12 q^{76} + 40 q^{77} - 100 q^{78} - 24 q^{80} - 32 q^{81} - 78 q^{82} - 24 q^{85} - 10 q^{88} - 8 q^{90} + 100 q^{92} - 48 q^{93} - 12 q^{97} - 162 q^{98}+O(q^{100}) $ 144 * q - 6 * q^2 - 12 * q^6 + 12 * q^10 - 12 * q^12 + 4 * q^13 - 12 * q^16 - 24 * q^17 - 42 * q^20 - 12 * q^22 - 24 * q^25 - 36 * q^26 - 6 * q^28 - 36 * q^32 - 12 * q^33 - 76 * q^36 + 48 * q^37 - 16 * q^38 + 76 * q^40 - 72 * q^41 + 40 * q^42 - 120 * q^45 - 12 * q^46 - 40 * q^48 + 120 * q^50 - 10 * q^52 + 8 * q^53 - 20 * q^56 + 126 * q^58 + 16 * q^61 - 44 * q^62 + 32 * q^65 + 96 * q^66 - 64 * q^68 - 54 * q^72 - 12 * q^76 + 40 * q^77 - 100 * q^78 - 24 * q^80 - 32 * q^81 - 78 * q^82 - 24 * q^85 - 10 * q^88 - 8 * q^90 + 100 * q^92 - 48 * q^93 - 12 * q^97 - 162 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/260\mathbb{Z}\right)^\times$.

$n$	$41$	$131$	$157$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$-1$	$e\left(\frac{3}{4}\right)$

Coefficient data

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

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

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

$2$	−0.633301	−	1.26449i	−0.447811	−	0.894128i
$2$	−0.633301	−	1.26449i	−0.447811	−	0.894128i
$3$	1.48318	+	0.397416i	0.856313	+	0.229449i	0.660160	−	0.751125i	$-0.270488\pi$
$3$	1.48318	+	0.397416i	0.856313	+	0.229449i	0.196153	+	0.980573i	$0.437155\pi$
$4$	−1.19786	+	1.60160i	−0.598930	+	0.800801i
$5$	−1.88795	+	1.19818i	−0.844319	+	0.535842i
$5$	−1.88795	+	1.19818i	−0.844319	+	0.535842i
$6$	−0.436769	−	2.12715i	−0.178310	−	0.868404i
$7$	0.726248	+	2.71040i	0.274496	+	1.02443i	0.956178	+	0.292785i	$0.0945820\pi$
$7$	0.726248	+	2.71040i	0.274496	+	1.02443i	−0.681682	+	0.731648i	$0.738751\pi$
$8$	2.78381	+	0.500385i	0.984227	+	0.176913i
$9$	−0.556198	−	0.321121i	−0.185399	−	0.107040i
$10$	2.71072	+	1.62849i	0.857206	+	0.514973i
$11$	1.76830	+	3.06279i	0.533163	+	0.923466i	0.999250	+	0.0387268i	$0.0123302\pi$
$11$	1.76830	+	3.06279i	0.533163	+	0.923466i	−0.466087	+	0.884739i	$0.654336\pi$
$12$	−2.41314	+	1.89941i	−0.696615	+	0.548313i
$13$	3.10452	−	1.83357i	0.861038	−	0.508540i
$13$	3.10452	−	1.83357i	0.861038	−	0.508540i
$14$	2.96733	−	2.63483i	0.793052	−	0.704187i
$15$	−3.27635	+	1.02681i	−0.845949	+	0.265121i
$16$	−1.13026	−	3.83699i	−0.282565	−	0.959248i
$17$	1.59505	+	5.95282i	0.386857	+	1.44377i	0.835219	+	0.549918i	$0.185341\pi$
$17$	1.59505	+	5.95282i	0.386857	+	1.44377i	−0.448362	+	0.893852i	$0.647992\pi$
$18$	−0.0538132	+	0.906671i	−0.0126839	+	0.213704i
$19$	4.02951	+	2.32644i	0.924433	+	0.533722i	0.885047	−	0.465502i	$-0.154126\pi$
$19$	4.02951	+	2.32644i	0.924433	+	0.533722i	0.0393866	+	0.999224i	$0.487460\pi$
$20$	0.342501	−	4.45900i	0.0765855	−	0.997063i
$21$			4.30862i			0.940219i
$22$	2.75299	−	4.17566i	0.586940	−	0.890255i
$23$	−7.99597	−	2.14251i	−1.66728	−	0.446745i	−0.702901	−	0.711288i	$-0.748112\pi$
$23$	−7.99597	−	2.14251i	−1.66728	−	0.446745i	−0.964374	+	0.264543i	$0.914779\pi$
$24$	3.93003	+	1.84849i	0.802214	+	0.377322i
$25$	2.12874	−	4.52421i	0.425748	−	0.904842i
$26$	−4.28462	−	2.76442i	−0.840283	−	0.542148i
$27$	−3.95461	−	3.95461i	−0.761065	−	0.761065i
$28$	−5.21092	−	2.08351i	−0.984771	−	0.393747i
$29$	−1.99058	+	1.14926i	−0.369641	+	0.213412i	−0.673301	−	0.739368i	$-0.735124\pi$
$29$	−1.99058	+	1.14926i	−0.369641	+	0.213412i	0.303661	+	0.952780i	$0.401791\pi$
$30$	3.37330	+	3.49263i	0.615877	+	0.637663i
$31$	2.36728			0.425177			0.212588	−	0.977142i	$-0.431811\pi$
$31$	2.36728			0.425177			0.212588	+	0.977142i	$0.431811\pi$
$32$	−4.13604	+	3.85917i	−0.731155	+	0.682211i
$33$	1.40551	+	5.24542i	0.244667	+	0.913110i
$34$	6.51712	−	5.78685i	1.11768	−	0.992436i
$35$	−4.61866	−	4.24693i	−0.780696	−	0.717862i
$36$	1.18056	−	0.506149i	0.196759	−	0.0843582i
$37$	0.709659	−	2.64848i	0.116667	−	0.435408i	−0.882739	−	0.469864i	$-0.844303\pi$
$37$	0.709659	−	2.64848i	0.116667	−	0.435408i	0.999406	+	0.0344556i	$0.0109697\pi$
$38$	0.389863	−	6.56861i	0.0632441	−	1.06557i
$39$	5.33324	−	1.48572i	0.854002	−	0.237906i
$40$	−5.85526	+	2.39080i	−0.925798	+	0.378019i
$41$	10.4735	−	6.04688i	1.63569	−	0.944363i	0.653391	−	0.757021i	$-0.273346\pi$
$41$	10.4735	−	6.04688i	1.63569	−	0.944363i	0.982295	−	0.187343i	$-0.0599875\pi$
$42$	5.44820	−	2.72865i	0.840676	−	0.421040i
$43$	0.196821	+	0.734548i	0.0300150	+	0.112017i	0.979308	−	0.202375i	$-0.0648659\pi$
$43$	0.196821	+	0.734548i	0.0300150	+	0.112017i	−0.949293	+	0.314392i	$0.898199\pi$
$44$	−7.02355	−	0.836678i	−1.05884	−	0.126134i
$45$	1.43484	−	0.0601625i	0.213893	−	0.00896850i
$46$	2.35467	+	11.4677i	0.347177	+	1.69081i
$47$	−0.970769	+	0.970769i	−0.141601	+	0.141601i	−0.774354	−	0.632753i	$-0.781925\pi$
$47$	−0.970769	+	0.970769i	−0.141601	+	0.141601i	0.632753	+	0.774354i	$0.281925\pi$
$48$	−0.151493	−	6.14013i	−0.0218661	−	0.886251i
$49$	−0.756628	+	0.436839i	−0.108090	+	0.0624056i
$50$	−7.06894	+	0.173420i	−0.999699	+	0.0245253i
$51$			9.46299i			1.32508i
$52$	−0.782130	+	7.16856i	−0.108462	+	0.994101i
$53$	−7.21870	−	7.21870i	−0.991565	−	0.991565i	0.00839956	−	0.999965i	$-0.497326\pi$
$53$	−7.21870	−	7.21870i	−0.991565	−	0.991565i	−0.999965	+	0.00839956i	$0.997326\pi$
$54$	−2.49610	+	7.50501i	−0.339676	+	1.02130i
$55$	−7.00824	−	3.66366i	−0.944991	−	0.494008i
$56$	0.665499	+	7.90864i	0.0889310	+	1.05684i
$57$	5.05192	+	5.05192i	0.669143	+	0.669143i
$58$	2.71386	+	1.78923i	0.356347	+	0.234938i
$59$	−4.02191	−	2.32205i	−0.523608	−	0.302305i	0.214802	−	0.976658i	$-0.431090\pi$
$59$	−4.02191	−	2.32205i	−0.523608	−	0.302305i	−0.738410	+	0.674352i	$0.764423\pi$
$60$	2.28007	−	6.47738i	0.294356	−	0.836226i
$61$	−1.50326	+	2.60372i	−0.192473	+	0.333372i	−0.946069	−	0.323965i	$-0.894984\pi$
$61$	−1.50326	+	2.60372i	−0.192473	+	0.333372i	0.753596	+	0.657337i	$0.228317\pi$
$62$	−1.49920	−	2.99340i	−0.190399	−	0.380163i
$63$	0.466427	−	1.74073i	0.0587643	−	0.219311i
$64$	7.49923	+	2.78596i	0.937404	+	0.348244i
$65$	−3.66424	+	7.18146i	−0.454493	+	0.890750i
$66$	5.74266	−	5.09917i	0.706873	−	0.627665i
$67$	−8.39173	−	2.24856i	−1.02521	−	0.274705i	−0.293240	−	0.956039i	$-0.594734\pi$
$67$	−8.39173	−	2.24856i	−1.02521	−	0.274705i	−0.731973	+	0.681334i	$0.761400\pi$
$68$	−11.4447	−	4.57600i	−1.38787	−	0.554922i
$69$	−11.0080	−	6.35546i	−1.32521	−	0.765108i
$70$	−2.44519	+	8.52982i	−0.292256	+	1.01951i
$71$	−0.333077	+	0.576907i	−0.0395290	+	0.0684663i	−0.885113	−	0.465376i	$-0.845919\pi$
$71$	−0.333077	+	0.576907i	−0.0395290	+	0.0684663i	0.845584	+	0.533842i	$0.179252\pi$
$72$	−1.38767	−	1.17225i	−0.163538	−	0.138151i
$73$	0.774938	−	0.774938i	0.0906997	−	0.0906997i	−0.660301	−	0.751001i	$-0.729571\pi$
$73$	0.774938	−	0.774938i	0.0906997	−	0.0906997i	0.751001	+	0.660301i	$0.229571\pi$
$74$	−3.79840	+	0.779931i	−0.441555	+	0.0906651i
$75$	4.95529	−	5.86421i	0.572188	−	0.677141i
$76$	−8.55282	+	3.66692i	−0.981076	+	0.420625i
$77$	−7.01714	+	7.01714i	−0.799678	+	0.799678i
$78$	−5.25623	−	5.80291i	−0.595150	−	0.657051i
$79$	13.5972			1.52980			0.764900	−	0.644149i	$-0.222788\pi$
$79$	13.5972			1.52980			0.764900	+	0.644149i	$0.222788\pi$
$80$	6.73128	+	5.88981i	0.752580	+	0.658501i
$81$	−3.33040	−	5.76842i	−0.370044	−	0.640936i
$82$	−14.2791	−	9.41412i	−1.57686	−	1.03962i
$83$	6.58933	+	6.58933i	0.723273	+	0.723273i	0.969270	−	0.245998i	$-0.0791155\pi$
$83$	6.58933	+	6.58933i	0.723273	+	0.723273i	−0.245998	+	0.969270i	$0.579116\pi$
$84$	−6.90070	−	5.16113i	−0.752928	−	0.563125i
$85$	−10.1439	−	9.32748i	−1.10026	−	1.01171i
$86$	0.804180	−	0.714068i	0.0867169	−	0.0769999i
$87$	−3.40911	+	0.913469i	−0.365495	+	0.0979342i
$88$	3.39005	+	9.41107i	0.361381	+	1.00322i
$89$	3.02539	+	5.24012i	0.320690	+	0.555452i	0.980631	−	0.195866i	$-0.0627518\pi$
$89$	3.02539	+	5.24012i	0.320690	+	0.555452i	−0.659940	+	0.751318i	$0.729418\pi$
$90$	−0.984757	−	1.77623i	−0.103802	−	0.187231i
$91$	7.22435	+	7.08284i	0.757317	+	0.742484i
$92$	13.0095	−	10.2399i	1.35634	−	1.06759i
$93$	3.51111	+	0.940798i	0.364085	+	0.0975562i
$94$	1.84231	+	0.612737i	0.190020	+	0.0631990i
$95$	−10.3950	+	0.435862i	−1.06651	+	0.0447185i
$96$	−7.66818	+	4.08011i	−0.782630	+	0.416424i
$97$	2.15544	−	0.577547i	0.218851	−	0.0586410i	−0.147727	−	0.989028i	$-0.547196\pi$
$97$	2.15544	−	0.577547i	0.218851	−	0.0586410i	0.366579	+	0.930387i	$0.380529\pi$
$98$	1.03155	+	0.680096i	0.104202	+	0.0687001i
$99$		−	2.27136i		−	0.228280i
$100$	4.69605	+	8.82876i	0.469605	+	0.882876i
$101$	−1.66021	−	2.87556i	−0.165197	−	0.286129i	0.771528	−	0.636195i	$-0.219493\pi$
$101$	−1.66021	−	2.87556i	−0.165197	−	0.286129i	−0.936725	+	0.350066i	$0.886159\pi$
$102$	11.9658	−	5.99292i	1.18479	−	0.593387i
$103$	1.34191	−	1.34191i	0.132222	−	0.132222i	−0.637898	−	0.770120i	$-0.720196\pi$
$103$	1.34191	−	1.34191i	0.132222	−	0.132222i	0.770120	+	0.637898i	$0.220196\pi$
$104$	9.55988	−	3.55086i	0.937424	−	0.348190i
$105$	−5.16250	−	8.13448i	−0.503808	−	0.793844i
$106$	−4.55636	+	13.6996i	−0.442552	+	1.33062i
$107$	3.51550	−	13.1200i	0.339856	−	1.26836i	−0.558651	−	0.829403i	$-0.688681\pi$
$107$	3.51550	−	13.1200i	0.339856	−	1.26836i	0.898507	−	0.438958i	$-0.144652\pi$
$108$	11.0708	−	1.59664i	1.06529	−	0.153637i
$109$	2.45199			0.234858			0.117429	−	0.993081i	$-0.462535\pi$
$109$	2.45199			0.234858			0.117429	+	0.993081i	$0.462535\pi$
$110$	−0.194336	+	11.1820i	−0.0185292	+	1.06617i
$111$	2.10510	−	3.64614i	0.199807	−	0.346077i
$112$	9.57892	−	5.85006i	0.905123	−	0.552779i
$113$	19.3681	−	5.18966i	1.82200	−	0.488202i	0.824963	−	0.565186i	$-0.191196\pi$
$113$	19.3681	−	5.18966i	1.82200	−	0.488202i	0.997032	+	0.0769840i	$0.0245290\pi$
$114$	3.18871	−	9.58748i	0.298650	−	0.897949i
$115$	17.6631	−	5.53563i	1.64710	−	0.516200i
$116$	0.543776	−	4.56476i	0.0504883	−	0.423828i
$117$	−2.31552	+	0.0229015i	−0.214070	+	0.00211725i
$118$	−0.389128	+	6.55621i	−0.0358221	+	0.603548i
$119$	−14.9761	+	8.64644i	−1.37285	+	0.792618i
$120$	−9.63454	+	1.21901i	−0.879509	+	0.111280i
$121$	−0.753789	+	1.30560i	−0.0685263	+	0.118691i
$122$	4.24439	+	0.251915i	0.384269	+	0.0228073i
$123$	17.9372	−	4.80626i	1.61734	−	0.433366i
$124$	−2.83568	+	3.79145i	−0.254651	+	0.340482i
$125$	1.40185	+	11.0921i	0.125385	+	0.992108i
$126$	−2.49652	+	0.512613i	−0.222408	+	0.0456672i
$127$	−1.47225	+	5.49451i	−0.130641	+	0.487559i	−0.999978	−	0.00666122i	$-0.997880\pi$
$127$	−1.47225	+	5.49451i	−0.130641	+	0.487559i	0.869337	+	0.494220i	$0.164546\pi$
$128$	−1.22646	−	11.2470i	−0.108405	−	0.994107i
$129$			1.16769i			0.102809i
$130$	11.4014	+	0.0853694i	0.999972	+	0.00748739i
$131$		−	6.09499i		−	0.532521i	−0.963901	−	0.266261i	$-0.914212\pi$
$131$		−	6.09499i		−	0.532521i	0.963901	−	0.266261i	$-0.0857882\pi$
$132$	−10.0847	−	4.03222i	−0.877758	−	0.350960i
$133$	−3.37915	+	12.6111i	−0.293009	+	1.09352i
$134$	2.47121	+	12.0353i	0.213480	+	1.03969i
$135$	12.2044	+	2.72779i	1.05039	+	0.234771i
$136$	1.46163	+	17.3697i	0.125334	+	1.48944i
$137$	−10.8494	+	2.90710i	−0.926930	+	0.248370i	−0.690545	−	0.723289i	$-0.742629\pi$
$137$	−10.8494	+	2.90710i	−0.926930	+	0.248370i	−0.236385	+	0.971659i	$0.575963\pi$
$138$	−1.06504	+	17.9444i	−0.0906625	+	1.52753i
$139$	3.01603	−	5.22391i	0.255816	−	0.443086i	−0.709301	−	0.704906i	$-0.750989\pi$
$139$	3.01603	−	5.22391i	0.255816	−	0.443086i	0.965117	+	0.261820i	$0.0843225\pi$
$140$	12.3344	−	2.31003i	1.04245	−	0.195233i
$141$	−1.82562	+	1.05402i	−0.153745	+	0.0887648i
$142$	0.940430	+	0.0558169i	0.0789191	+	0.00468405i
$143$	11.1056	+	6.26618i	0.928694	+	0.524004i
$144$	−0.603490	+	2.49708i	−0.0502909	+	0.208090i
$145$	2.38110	−	4.55481i	0.197739	−	0.378257i
$146$	−1.47067	−	0.489131i	−0.121713	−	0.0404808i
$147$	−1.29582	+	0.347214i	−0.106878	+	0.0286377i
$148$	3.39175	+	4.30911i	0.278800	+	0.354206i
$149$	6.60711	−	11.4439i	0.541276	−	0.937517i	−0.457555	−	0.889181i	$-0.651275\pi$
$149$	6.60711	−	11.4439i	0.541276	−	0.937517i	0.998831	−	0.0483359i	$-0.0153918\pi$
$150$	−10.5534	−	2.55210i	−0.861683	−	0.208378i
$151$	8.03979			0.654269			0.327135	−	0.944978i	$-0.393917\pi$
$151$	8.03979			0.654269			0.327135	+	0.944978i	$0.393917\pi$
$152$	10.0533	+	8.49268i	0.815430	+	0.688847i
$153$	1.02441	−	3.82315i	0.0828186	−	0.309083i
$154$	13.3171	+	4.42913i	1.07312	+	0.356910i
$155$	−4.46932	+	2.83643i	−0.358985	+	0.227827i
$156$	−4.00894	+	10.3214i	−0.320972	+	0.826375i
$157$	2.04603	−	2.04603i	0.163291	−	0.163291i	−0.620732	−	0.784023i	$-0.713164\pi$
$157$	2.04603	−	2.04603i	0.163291	−	0.163291i	0.784023	+	0.620732i	$0.213164\pi$
$158$	−8.61109	−	17.1934i	−0.685061	−	1.36784i
$159$	−7.83779	−	13.5755i	−0.621577	−	1.07660i
$160$	3.18467	−	12.2416i	0.251771	−	0.967787i
$161$		−	23.2282i		−	1.83064i
$162$	−5.18496	+	7.86440i	−0.407369	+	0.617885i
$163$	−11.1855	+	2.99715i	−0.876116	+	0.234755i	−0.668731	−	0.743505i	$-0.733162\pi$
$163$	−11.1855	+	2.99715i	−0.876116	+	0.234755i	−0.207385	+	0.978259i	$0.566495\pi$
$164$	−2.86110	+	24.0177i	−0.223414	+	1.87547i
$165$	−8.93847	−	8.21906i	−0.695859	−	0.639853i
$166$	4.15910	−	12.5052i	0.322809	−	0.970588i
$167$	−13.7241	−	3.67737i	−1.06200	−	0.284563i	−0.314800	−	0.949158i	$-0.601937\pi$
$167$	−13.7241	−	3.67737i	−1.06200	−	0.284563i	−0.747204	+	0.664595i	$0.768604\pi$
$168$	−2.15597	+	11.9944i	−0.166337	+	0.925388i
$169$	6.27605	−	11.3847i	0.482773	−	0.875745i
$170$	−5.37034	+	18.7340i	−0.411887	+	1.43683i
$171$	−1.49414	−	2.58792i	−0.114259	−	0.197903i
$172$	−1.41222	−	0.564656i	−0.107681	−	0.0430546i
$173$	−10.1894	+	2.73024i	−0.774685	+	0.207576i	−0.624440	−	0.781073i	$-0.714673\pi$
$173$	−10.1894	+	2.73024i	−0.774685	+	0.207576i	−0.150245	+	0.988649i	$0.548006\pi$
$174$	3.31407	+	3.73228i	0.251239	+	0.282944i
$175$	13.8084	+	2.48402i	1.04382	+	0.187775i
$176$	9.75326	−	10.2467i	0.735180	−	0.772375i
$177$	−5.04239	−	5.04239i	−0.379009	−	0.379009i
$178$	4.71009	−	7.14414i	0.353036	−	0.535476i
$179$	−1.05357	−	1.82483i	−0.0787472	−	0.136394i	0.823962	−	0.566644i	$-0.191759\pi$
$179$	−1.05357	−	1.82483i	−0.0787472	−	0.136394i	−0.902710	+	0.430250i	$0.858425\pi$
$180$	−1.62238	+	2.37010i	−0.120925	+	0.176657i
$181$	4.93199			0.366592			0.183296	−	0.983058i	$-0.441323\pi$
$181$	4.93199			0.366592			0.183296	+	0.983058i	$0.441323\pi$
$182$	4.38099	−	13.6207i	0.324740	−	1.00963i
$183$	−3.26436	+	3.26436i	−0.241309	+	0.241309i
$184$	−21.1872	−	9.96542i	−1.56194	−	0.734660i
$185$	1.83355	+	5.85051i	0.134805	+	0.430138i
$186$	−1.03396	−	5.03556i	−0.0758135	−	0.369225i
$187$	−15.4117	+	15.4117i	−1.12701	+	1.12701i
$188$	−0.391940	−	2.71763i	−0.0285852	−	0.198204i
$189$	7.84652	−	13.5906i	0.570751	−	0.988569i
$190$	7.13432	+	12.8683i	0.517578	+	0.933568i
$191$	6.77917	+	3.91395i	0.490523	+	0.283204i	0.724791	−	0.688968i	$-0.241936\pi$
$191$	6.77917	+	3.91395i	0.490523	+	0.283204i	−0.234268	+	0.972172i	$0.575269\pi$
$192$	10.0155	+	7.11239i	0.722807	+	0.513292i
$193$	0.425136	+	0.113915i	0.0306020	+	0.00819978i	0.274088	−	0.961705i	$-0.411624\pi$
$193$	0.425136	+	0.113915i	0.0306020	+	0.00819978i	−0.243486	+	0.969905i	$0.578291\pi$
$194$	−2.09534	−	2.35976i	−0.150437	−	0.169421i
$195$	−8.28875	+	9.19515i	−0.593570	+	0.658479i
$196$	0.206692	−	1.73509i	0.0147637	−	0.123935i
$197$	−3.04733	+	11.3728i	−0.217113	+	0.810277i	0.768299	+	0.640091i	$0.221104\pi$
$197$	−3.04733	+	11.3728i	−0.217113	+	0.810277i	−0.985412	+	0.170186i	$0.945563\pi$
$198$	−2.87210	+	1.43845i	−0.204111	+	0.102226i
$199$	2.17399	−	3.76546i	0.154110	−	0.266927i	−0.778625	−	0.627490i	$-0.784082\pi$
$199$	2.17399	−	3.76546i	0.154110	−	0.266927i	0.932735	+	0.360564i	$0.117416\pi$
$200$	8.18986	−	11.5294i	0.579110	−	0.815249i
$201$	−11.5528	−	6.67003i	−0.814873	−	0.470467i
$202$	−2.58471	+	3.92041i	−0.181859	+	0.275839i
$203$	−4.56060	−	4.56060i	−0.320091	−	0.320091i
$204$	−15.1559	−	11.3353i	−1.06113	−	0.793633i
$205$	−12.5282	+	23.9653i	−0.875010	+	1.67381i
$206$	−2.54666	−	0.846995i	−0.177434	−	0.0590129i
$207$	3.75933	+	3.75933i	0.261292	+	0.261292i
$208$	−10.5443	−	9.83960i	−0.731116	−	0.682253i
$209$			16.4554i			1.13824i
$210$	−7.01654	+	11.6795i	−0.484187	+	0.805961i
$211$	−12.3888	+	7.15270i	−0.852882	+	0.492412i	−0.861622	−	0.507550i	$-0.830551\pi$
$211$	−12.3888	+	7.15270i	−0.852882	+	0.492412i	0.00873996	+	0.999962i	$0.497218\pi$
$212$	20.2085	−	2.91449i	1.38792	−	0.200168i
$213$	−0.723285	+	0.723285i	−0.0495587	+	0.0495587i
$214$	−18.8165	+	3.86361i	−1.28627	+	0.264111i
$215$	−1.25171	−	1.15096i	−0.0853658	−	0.0784951i
$216$	−9.03006	−	12.9877i	−0.614418	−	0.883702i
$217$	1.71924	+	6.41628i	0.116709	+	0.435565i
$218$	−1.55285	−	3.10052i	−0.105172	−	0.209993i
$219$	1.45735	−	0.841399i	0.0984783	−	0.0568564i
$220$	14.2626	−	6.83586i	0.961586	−	0.460873i
$221$	15.8668	+	15.5560i	1.06731	+	1.04641i
$222$	−5.94367	−	0.352772i	−0.398913	−	0.0236765i
$223$	−2.99657	+	11.1833i	−0.200665	+	0.748892i	0.790062	+	0.613027i	$0.210048\pi$
$223$	−2.99657	+	11.1833i	−0.200665	+	0.748892i	−0.990727	+	0.135866i	$0.956618\pi$
$224$	−13.4637	−	8.40758i	−0.899579	−	0.561755i
$225$	−2.63682	+	1.83277i	−0.175788	+	0.122185i
$226$	−18.8281	−	21.2041i	−1.25243	−	1.41048i
$227$	−3.15196	−	11.7633i	−0.209203	−	0.780755i	−0.988127	−	0.153638i	$-0.950901\pi$
$227$	−3.15196	−	11.7633i	−0.209203	−	0.780755i	0.778925	−	0.627118i	$-0.215765\pi$
$228$	−14.1427	+	2.03967i	−0.936621	+	0.135080i
$229$	−10.6456			−0.703482			−0.351741	−	0.936097i	$-0.614410\pi$
$229$	−10.6456			−0.703482			−0.351741	+	0.936097i	$0.614410\pi$
$230$	−18.1858	−	18.8291i	−1.19914	−	1.24155i
$231$	−13.1964	+	7.61895i	−0.868260	+	0.501290i
$232$	−6.11646	+	2.20327i	−0.401566	+	0.144652i
$233$	19.0948	+	19.0948i	1.25095	+	1.25095i	0.955297	+	0.295648i	$0.0955357\pi$
$233$	19.0948	+	19.0948i	1.25095	+	1.25095i	0.295648	+	0.955297i	$0.404464\pi$
$234$	1.49538	+	2.91345i	0.0977561	+	0.190458i
$235$	0.669613	−	2.99592i	0.0436807	−	0.195432i
$236$	8.53669	−	3.66001i	0.555691	−	0.238246i
$237$	20.1670	+	5.40373i	1.30999	+	0.351010i
$238$	20.4177	+	13.4613i	1.32348	+	0.872565i
$239$		−	4.54098i		−	0.293732i	−0.989156	−	0.146866i	$-0.953081\pi$
$239$		−	4.54098i		−	0.293732i	0.989156	−	0.146866i	$-0.0469185\pi$
$240$	7.64298	+	11.4108i	0.493352	+	0.736562i
$241$	1.66265	+	0.959933i	0.107101	+	0.0618347i	0.552594	−	0.833451i	$-0.313638\pi$
$241$	1.66265	+	0.959933i	0.107101	+	0.0618347i	−0.445493	+	0.895286i	$0.646972\pi$
$242$	2.12829	+	0.126319i	0.136812	+	0.00812012i
$243$	1.69535	+	6.32713i	0.108757	+	0.405885i
$244$	−2.36943	−	5.52652i	−0.151687	−	0.353799i
$245$	0.905067	−	1.73131i	0.0578226	−	0.110609i
$246$	−17.4371	−	19.6376i	−1.11175	−	1.25205i
$247$	16.7754	−	0.165916i	1.06739	−	0.0105570i
$248$	6.59008	+	1.18455i	0.418470	+	0.0752192i
$249$	7.15444	+	12.3919i	0.453394	+	0.785302i
$250$	13.1380	−	8.79726i	0.830923	−	0.556388i
$251$	−7.42751	−	4.28828i	−0.468821	−	0.270674i	0.246925	−	0.969035i	$-0.420580\pi$
$251$	−7.42751	−	4.28828i	−0.468821	−	0.270674i	−0.715746	+	0.698361i	$0.753913\pi$
$252$	2.22924	+	2.83218i	0.140429	+	0.178411i
$253$	−7.57723	−	28.2786i	−0.476376	−	1.77786i
$254$	7.88012	−	1.61803i	0.494443	−	0.101525i
$255$	−11.3383	−	17.8657i	−0.710035	−	1.11879i
$256$	−13.4450	+	8.67360i	−0.840314	+	0.542100i
$257$	7.08983	+	1.89971i	0.442251	+	0.118501i	0.473071	−	0.881024i	$-0.343145\pi$
$257$	7.08983	+	1.89971i	0.442251	+	0.118501i	−0.0308201	+	0.999525i	$0.509812\pi$
$258$	1.47652	−	0.739496i	0.0919244	−	0.0460390i
$259$	7.69383			0.478071
$260$	−7.11259	−	14.4710i	−0.441104	−	0.897456i
$261$	1.47621			0.0913748
$262$	−7.70704	+	3.85996i	−0.476142	+	0.238469i
$263$	−19.3520	−	5.18536i	−1.19330	−	0.319743i	−0.393108	−	0.919492i	$-0.628600\pi$
$263$	−19.3520	−	5.18536i	−1.19330	−	0.319743i	−0.800188	+	0.599749i	$0.795267\pi$
$264$	1.28794	+	15.3056i	0.0792670	+	0.941992i
$265$	22.2779	+	4.97929i	1.36852	+	0.305875i
$266$	18.0867	−	3.71375i	1.10896	−	0.227705i
$267$	2.40468	+	8.97437i	0.147164	+	0.549223i
$268$	13.6534	−	10.7468i	0.834016	−	0.656463i
$269$	−6.38159	−	3.68441i	−0.389093	−	0.224643i	0.292674	−	0.956212i	$-0.405455\pi$
$269$	−6.38159	−	3.68441i	−0.389093	−	0.224643i	−0.681767	+	0.731570i	$0.738788\pi$
$270$	−4.27982	−	17.1599i	−0.260462	−	1.04432i
$271$	−5.59562	−	9.69189i	−0.339910	−	0.588741i	0.644506	−	0.764599i	$-0.277063\pi$
$271$	−5.59562	−	9.69189i	−0.339910	−	0.588741i	−0.984415	+	0.175859i	$0.943730\pi$
$272$	21.0381	−	12.8484i	1.27562	−	0.779051i
$273$	7.90016	+	13.3762i	0.478139	+	0.809564i
$274$	10.5469	+	11.8779i	0.637164	+	0.717571i
$275$	17.6210	−	1.48029i	1.06258	−	0.0892650i
$276$	23.3649	−	10.0175i	1.40640	−	0.602980i
$277$	0.435577	+	1.62560i	0.0261713	+	0.0976727i	0.977776	−	0.209652i	$-0.0672330\pi$
$277$	0.435577	+	1.62560i	0.0261713	+	0.0976727i	−0.951605	+	0.307324i	$0.900566\pi$
$278$	−8.51563	−	0.505424i	−0.510733	−	0.0303133i
$279$	−1.31668	−	0.760185i	−0.0788275	−	0.0455111i
$280$	−10.7324	−	14.1338i	−0.641383	−	0.844653i
$281$			24.3289i			1.45134i	0.688044	+	0.725669i	$0.258470\pi$
$281$			24.3289i			1.45134i	−0.688044	+	0.725669i	$0.741530\pi$
$282$	2.48897	+	1.64097i	0.148216	+	0.0977180i
$283$	−28.3800	−	7.60440i	−1.68702	−	0.452035i	−0.717400	−	0.696662i	$-0.754668\pi$
$283$	−28.3800	−	7.60440i	−1.68702	−	0.452035i	−0.969617	+	0.244627i	$0.921334\pi$
$284$	−0.524995	−	1.22451i	−0.0311527	−	0.0726614i
$285$	−15.5909	−	3.48469i	−0.923525	−	0.206415i
$286$	0.890350	−	18.0112i	0.0526475	−	1.06503i
$287$	23.9958	+	23.9958i	1.41643	+	1.41643i
$288$	3.53971	−	0.818293i	0.208580	−	0.0482184i
$289$	−18.1694	+	10.4901i	−1.06879	+	0.617065i
$290$	−7.26746	−	0.126304i	−0.426760	−	0.00741680i
$291$	3.42642			0.200860
$292$	0.312875	+	2.16941i	0.0183096	+	0.126955i
$293$	0.135347	+	0.505121i	0.00790704	+	0.0295095i	0.969767	−	0.244034i	$-0.0784709\pi$
$293$	0.135347	+	0.505121i	0.00790704	+	0.0295095i	−0.961860	+	0.273544i	$0.911804\pi$
$294$	1.25969	+	1.41866i	0.0734668	+	0.0827379i
$295$	10.3754	−	0.435040i	0.604080	−	0.0253290i
$296$	3.30082	−	7.01778i	0.191856	−	0.407900i
$297$	5.11919	−	19.1051i	0.297046	−	1.10859i
$298$	−18.6549	−	1.10722i	−1.08065	−	0.0641393i
$299$	−28.7521	+	8.00969i	−1.66278	+	0.463212i
$300$	3.45639	+	14.9609i	0.199555	+	0.863769i
$301$	−1.84797	+	1.06693i	−0.106515	+	0.0614967i
$302$	−5.09161	−	10.1662i	−0.292989	−	0.585000i
$303$	−1.31959	−	4.92477i	−0.0758083	−	0.282921i
$304$	4.37214	−	18.0907i	0.250759	−	1.03757i
$305$	−0.281638	−	6.71688i	−0.0161266	−	0.384607i
$306$	−5.48308	+	1.12585i	−0.313447	+	0.0643605i
$307$	−11.1493	+	11.1493i	−0.636323	+	0.636323i	−0.949647	−	0.313323i	$-0.898558\pi$
$307$	−11.1493	+	11.1493i	−0.636323	+	0.636323i	0.313323	+	0.949647i	$0.398558\pi$
$308$	−2.83311	−	19.6442i	−0.161432	−	1.11933i
$309$	2.52358	−	1.45699i	0.143562	−	0.0828853i
$310$	6.41706	+	3.85510i	0.364464	+	0.218955i
$311$		−	17.3518i		−	0.983929i	−0.870615	−	0.491965i	$-0.836279\pi$
$311$		−	17.3518i		−	0.983929i	0.870615	−	0.491965i	$-0.163721\pi$
$312$	15.5902	−	1.46730i	0.882620	−	0.0830697i
$313$	−2.23268	−	2.23268i	−0.126199	−	0.126199i	0.641186	−	0.767385i	$-0.278443\pi$
$313$	−2.23268	−	2.23268i	−0.126199	−	0.126199i	−0.767385	+	0.641186i	$0.778443\pi$
$314$	−3.88293	−	1.29143i	−0.219126	−	0.0728795i
$315$	1.20511	+	3.84528i	0.0679003	+	0.216657i
$316$	−16.2875	+	21.7772i	−0.916243	+	1.22507i
$317$	−2.45494	−	2.45494i	−0.137883	−	0.137883i	0.634796	−	0.772680i	$-0.281084\pi$
$317$	−2.45494	−	2.45494i	−0.137883	−	0.137883i	−0.772680	+	0.634796i	$0.781084\pi$
$318$	−12.2023	+	18.5081i	−0.684272	+	1.03789i
$319$	−7.03988	−	4.06448i	−0.394158	−	0.227567i
$320$	−17.4963	+	3.72566i	−0.978071	+	0.208271i
$321$	10.4282	−	18.0622i	0.582047	−	1.00814i
$322$	−29.3718	+	14.7105i	−1.63683	+	0.819782i
$323$	−7.42159	+	27.6977i	−0.412948	+	1.54114i
$324$	13.2281	+	1.57579i	0.734893	+	0.0875438i
$325$	−1.68675	−	17.9487i	−0.0935638	−	0.995613i
$326$	10.8736	+	12.2458i	0.602235	+	0.678234i
$327$	3.63674	+	0.974463i	0.201112	+	0.0538879i
$328$	32.1820	−	11.5926i	1.77696	−	0.640094i
$329$	−3.33619	−	1.92615i	−0.183930	−	0.106192i
$330$	−4.73216	+	16.5077i	−0.260497	+	0.908721i
$331$	−2.34372	+	4.05944i	−0.128823	+	0.223127i	−0.923221	−	0.384270i	$-0.874453\pi$
$331$	−2.34372	+	4.05944i	−0.128823	+	0.223127i	0.794398	+	0.607397i	$0.207786\pi$
$332$	−18.4466	+	2.66039i	−1.01239	+	0.146008i
$333$	−1.24519	+	1.24519i	−0.0682362	+	0.0682362i
$334$	4.04151	+	19.6829i	0.221141	+	1.07700i
$335$	18.5374	−	5.80962i	1.01281	−	0.317413i
$336$	16.5322	−	4.86986i	0.901903	−	0.265673i
$337$	11.2976	−	11.2976i	0.615421	−	0.615421i	−0.328932	−	0.944354i	$-0.606689\pi$
$337$	11.2976	−	11.2976i	0.615421	−	0.615421i	0.944354	+	0.328932i	$0.106689\pi$
$338$	−18.3704	−	0.726060i	−0.999220	−	0.0394924i
$339$	30.7888			1.67222
$340$	27.0899	−	5.07350i	1.46916	−	0.275149i
$341$	4.18608	+	7.25050i	0.226689	+	0.392636i
$342$	−2.32616	+	3.52825i	−0.125784	+	0.190786i
$343$	12.1555	+	12.1555i	0.656337	+	0.656337i
$344$	0.180358	+	2.14333i	0.00972423	+	0.115561i
$345$	28.3975	−	1.19071i	1.52887	−	0.0641055i
$346$	9.90530	+	11.1553i	0.532512	+	0.599713i
$347$	15.3659	−	4.11729i	0.824886	−	0.221028i	0.178405	−	0.983957i	$-0.442906\pi$
$347$	15.3659	−	4.11729i	0.824886	−	0.221028i	0.646481	+	0.762930i	$0.276240\pi$
$348$	2.62063	−	6.55425i	0.140480	−	0.351345i
$349$	9.02653	+	15.6344i	0.483179	+	0.836890i	0.999813	−	0.0193156i	$-0.00614872\pi$
$349$	9.02653	+	15.6344i	0.483179	+	0.836890i	−0.516634	+	0.856206i	$0.672815\pi$
$350$	−5.60384	−	19.0337i	−0.299538	−	1.01739i
$351$	−19.5282	−	5.02610i	−1.04234	−	0.268273i
$352$	−19.1336	−	5.84363i	−1.01982	−	0.311467i
$353$	−7.25817	−	1.94482i	−0.386314	−	0.103512i	0.0604346	−	0.998172i	$-0.480751\pi$
$353$	−7.25817	−	1.94482i	−0.386314	−	0.103512i	−0.446748	+	0.894660i	$0.647418\pi$
$354$	−3.18269	+	9.56939i	−0.169158	+	0.508607i
$355$	−0.0624026	−	1.48826i	−0.00331199	−	0.0789886i
$356$	−12.0166	−	1.43147i	−0.636878	−	0.0758678i
$357$	−25.6484	+	6.87248i	−1.35746	+	0.363730i
$358$	−1.64025	+	2.48789i	−0.0866900	+	0.131489i
$359$			24.4215i			1.28892i	0.764638	+	0.644460i	$0.222918\pi$
$359$			24.4215i			1.28892i	−0.764638	+	0.644460i	$0.777082\pi$
$360$	4.02442	+	0.550489i	0.212105	+	0.0290133i
$361$	1.32464	+	2.29435i	0.0697180	+	0.120755i
$362$	−3.12343	−	6.23644i	−0.164164	−	0.327780i
$363$	−1.63687	+	1.63687i	−0.0859134	+	0.0859134i
$364$	−19.9977	+	3.08627i	−1.04816	+	0.161765i
$365$	−0.534534	+	2.39156i	−0.0279788	+	0.125180i
$366$	6.19507	+	2.06043i	0.323822	+	0.107700i
$367$	5.45944	−	20.3749i	0.284981	−	1.06356i	−0.663873	−	0.747845i	$-0.731088\pi$
$367$	5.45944	−	20.3749i	0.284981	−	1.06356i	0.948854	−	0.315717i	$-0.102245\pi$
$368$	0.816715	+	33.1021i	0.0425742	+	1.72557i
$369$	−7.76711			−0.404340
$370$	6.23671	−	6.02364i	0.324231	−	0.313154i
$371$	14.3230	−	24.8081i	0.743611	−	1.28797i
$372$	−5.71260	+	4.49645i	−0.296184	+	0.233130i
$373$	−26.9483	+	7.22077i	−1.39533	+	0.373877i	−0.876665	−	0.481100i	$-0.840237\pi$
$373$	−26.9483	+	7.22077i	−1.39533	+	0.373877i	−0.518664	+	0.854978i	$0.673571\pi$
$374$	29.2481	+	9.72767i	1.51238	+	0.503006i
$375$	−2.32899	+	17.0087i	−0.120269	+	0.878325i
$376$	−3.18820	+	2.21668i	−0.164419	+	0.114317i
$377$	−4.07253	+	7.21775i	−0.209746	+	0.371733i
$378$	−22.1543	−	1.31491i	−1.13950	−	0.0676319i
$379$	−24.6371	+	14.2242i	−1.26552	+	0.730649i	−0.974137	−	0.225958i	$-0.927449\pi$
$379$	−24.6371	+	14.2242i	−1.26552	+	0.730649i	−0.291384	+	0.956606i	$0.594116\pi$
$380$	11.7537	−	17.1708i	0.602952	−	0.880843i
$381$	−4.36722	+	7.56424i	−0.223739	+	0.387528i
$382$	0.655897	−	11.0509i	0.0335586	−	0.565412i
$383$	33.8858	−	9.07966i	1.73148	−	0.463949i	0.750958	−	0.660350i	$-0.229592\pi$
$383$	33.8858	−	9.07966i	1.73148	−	0.463949i	0.980524	+	0.196401i	$0.0629256\pi$
$384$	2.65070	−	17.1688i	0.135268	−	0.876140i
$385$	4.84026	−	21.6558i	0.246682	−	1.10368i
$386$	−0.125195	−	0.609722i	−0.00637226	−	0.0310340i
$387$	0.126407	−	0.471757i	0.00642563	−	0.0239808i
$388$	−1.65691	+	4.14397i	−0.0841169	+	0.210378i
$389$			7.03746i			0.356814i	0.983957	+	0.178407i	$0.0570943\pi$
$389$			7.03746i			0.356814i	−0.983957	+	0.178407i	$0.942906\pi$
$390$	16.8764	+	4.65774i	0.854572	+	0.235854i
$391$		−	51.0160i		−	2.57999i
$392$	−2.32490	+	0.837474i	−0.117425	+	0.0422988i
$393$	2.42225	−	9.03995i	0.122186	−	0.456005i
$394$	16.3106	−	3.34908i	0.821718	−	0.168724i
$395$	−25.6708	+	16.2918i	−1.29164	+	0.819730i
$396$	3.63781	+	2.72077i	0.182807	+	0.136724i
$397$	10.1554	−	2.72114i	0.509687	−	0.136570i	0.00519491	−	0.999987i	$-0.498346\pi$
$397$	10.1554	−	2.72114i	0.509687	−	0.136570i	0.504492	+	0.863416i	$0.331680\pi$
$398$	−6.13817	−	0.364316i	−0.307679	−	0.0182615i
$399$	−10.0238	+	17.3616i	−0.501815	+	0.869169i
$400$	−19.7654	−	3.05442i	−0.988269	−	0.152721i
$401$	−20.9739	+	12.1093i	−1.04739	+	0.604708i	−0.921916	−	0.387390i	$-0.873377\pi$
$401$	−20.9739	+	12.1093i	−1.04739	+	0.604708i	−0.125469	+	0.992098i	$0.540044\pi$
$402$	−1.11776	+	18.8325i	−0.0557487	+	0.939282i
$403$	7.34928	−	4.34058i	0.366093	−	0.216220i
$404$	6.59421	+	0.785532i	0.328074	+	0.0390817i
$405$	13.1992	+	6.90010i	0.655875	+	0.342869i
$406$	−2.87859	+	8.65506i	−0.142862	+	0.429543i
$407$	9.36664	−	2.50978i	0.464287	−	0.124405i
$408$	−4.73514	+	26.3432i	−0.234424	+	1.30418i
$409$	11.7219	−	20.3029i	0.579611	−	1.00392i	−0.415913	−	0.909404i	$-0.636538\pi$
$409$	11.7219	−	20.3029i	0.579611	−	1.00392i	0.995524	−	0.0945110i	$-0.0301288\pi$
$410$	38.2380	+	0.664551i	1.88844	+	0.0328198i
$411$	−17.2470			−0.850731
$412$	0.541784	+	3.75662i	0.0266918	+	0.185075i
$413$	3.37277	−	12.5873i	0.165963	−	0.619383i
$414$	2.37284	−	7.13442i	0.116619	−	0.350638i
$415$	−20.3355	−	4.54516i	−0.998232	−	0.223113i
$416$	−5.76434	+	19.5646i	−0.282620	+	0.959232i
$417$	6.54937	−	6.54937i	0.320724	−	0.320724i
$418$	20.8077	−	10.4212i	1.01774	−	0.509718i
$419$	11.4837	+	19.8903i	0.561014	+	0.971704i	0.997408	+	0.0719489i	$0.0229219\pi$
$419$	11.4837	+	19.8903i	0.561014	+	0.971704i	−0.436395	+	0.899755i	$0.643745\pi$
$420$	19.2122	+	1.47571i	0.937457	+	0.0720071i
$421$		−	6.76931i		−	0.329916i	−0.986301	−	0.164958i	$-0.947251\pi$
$421$		−	6.76931i		−	0.329916i	0.986301	−	0.164958i	$-0.0527489\pi$
$422$	16.8904	+	11.1357i	0.822210	+	0.542079i
$423$	0.851674	−	0.228205i	0.0414098	−	0.0110957i
$424$	−16.4834	−	23.7076i	−0.800504	−	1.15135i
$425$	30.3272	+	5.45564i	1.47109	+	0.264637i
$426$	1.37264	+	0.456529i	0.0665048	+	0.0221189i
$427$	−8.14886	−	2.18348i	−0.394351	−	0.105666i
$428$	16.8020	+	21.3464i	0.812155	+	1.03182i
$429$	13.9812	+	13.7074i	0.675021	+	0.661799i
$430$	−0.662673	+	2.31168i	−0.0319569	+	0.111479i
$431$	17.5634	+	30.4207i	0.845998	+	1.46531i	0.884752	+	0.466062i	$0.154328\pi$
$431$	17.5634	+	30.4207i	0.845998	+	1.46531i	−0.0387540	+	0.999249i	$0.512339\pi$
$432$	−10.7041	+	19.6435i	−0.515000	+	0.945100i
$433$	−28.3207	+	7.58850i	−1.36100	+	0.364680i	−0.864185	−	0.503174i	$-0.832165\pi$
$433$	−28.3207	+	7.58850i	−1.36100	+	0.364680i	−0.496819	+	0.867854i	$0.665499\pi$
$434$	7.02451	−	6.23739i	0.337187	−	0.299404i
$435$	5.34175	−	5.80931i	0.256117	−	0.278535i
$436$	−2.93715	+	3.92712i	−0.140664	+	0.188075i
$437$	−27.2354	−	27.2354i	−1.30285	−	1.30285i
$438$	−1.98688	−	1.30994i	−0.0949366	−	0.0625912i
$439$	8.98690	+	15.5658i	0.428921	+	0.742914i	0.996778	−	0.0802140i	$-0.0255604\pi$
$439$	8.98690	+	15.5658i	0.428921	+	0.742914i	−0.567856	+	0.823128i	$0.692227\pi$
$440$	−17.6764	−	13.7058i	−0.842689	−	0.653397i
$441$	0.561113			0.0267197
$442$	9.62192	−	29.9149i	0.457668	−	1.42291i
$443$	−23.6083	+	23.6083i	−1.12166	+	1.12166i	−0.130173	+	0.991491i	$0.541553\pi$
$443$	−23.6083	+	23.6083i	−1.12166	+	1.12166i	−0.991491	+	0.130173i	$0.958447\pi$
$444$	3.31805	+	7.73911i	0.157468	+	0.367282i
$445$	−11.9904	−	6.26816i	−0.568399	−	0.297139i
$446$	16.0389	−	3.29329i	0.759466	−	0.155942i
$447$	14.3475	−	14.3475i	0.678614	−	0.678614i
$448$	−2.10474	+	22.3492i	−0.0994395	+	1.05590i
$449$	−7.23756	+	12.5358i	−0.341562	+	0.591602i	−0.984723	−	0.174129i	$-0.944289\pi$
$449$	−7.23756	+	12.5358i	−0.341562	+	0.591602i	0.643161	+	0.765731i	$0.277623\pi$
$450$	3.98742	+	2.17353i	0.187969	+	0.102461i
$451$	37.0406	+	21.3854i	1.74418	+	1.00700i
$452$	−14.8885	+	37.2365i	−0.700295	+	1.75146i
$453$	11.9244	+	3.19515i	0.560259	+	0.150121i
$454$	−12.8784	+	11.4353i	−0.604412	+	0.536685i
$455$	−22.1257	−	4.71602i	−1.03727	−	0.221091i
$456$	11.5357	+	16.5915i	0.540208	+	0.776968i
$457$	−1.30787	+	4.88104i	−0.0611796	+	0.228325i	−0.989745	−	0.142842i	$-0.954376\pi$
$457$	−1.30787	+	4.88104i	−0.0611796	+	0.228325i	0.928566	+	0.371168i	$0.121043\pi$
$458$	6.74187	+	13.4612i	0.315027	+	0.629003i
$459$	17.2332	−	29.8489i	0.804379	−	1.39323i
$460$	−12.2921	+	34.9202i	−0.573122	+	1.62816i
$461$	6.11618	+	3.53118i	0.284859	+	0.164463i	0.635621	−	0.772001i	$-0.280744\pi$
$461$	6.11618	+	3.53118i	0.284859	+	0.164463i	−0.350762	+	0.936465i	$0.614077\pi$
$462$	17.9914	+	11.8616i	0.837034	+	0.551852i
$463$	−4.86860	−	4.86860i	−0.226263	−	0.226263i	0.584866	−	0.811130i	$-0.301147\pi$
$463$	−4.86860	−	4.86860i	−0.226263	−	0.226263i	−0.811130	+	0.584866i	$0.801147\pi$
$464$	6.65957	+	6.33886i	0.309163	+	0.294274i
$465$	−7.75605	+	2.43075i	−0.359678	+	0.112723i
$466$	12.0524	−	36.2380i	0.558318	−	1.67869i
$467$	−5.27220	−	5.27220i	−0.243968	−	0.243968i	0.574521	−	0.818490i	$-0.305188\pi$
$467$	−5.27220	−	5.27220i	−0.243968	−	0.243968i	−0.818490	+	0.574521i	$0.805188\pi$
$468$	2.73699	−	3.73598i	0.126518	−	0.172696i
$469$		−	24.3779i		−	1.12567i
$470$	−4.21237	+	1.05060i	−0.194302	+	0.0484606i
$471$	3.84775	−	2.22150i	0.177295	−	0.102361i
$472$	−10.0343	−	8.47666i	−0.461867	−	0.390170i
$473$	−1.90173	+	1.90173i	−0.0874414	+	0.0874414i
$474$	−5.93882	−	28.9231i	−0.272779	−	1.32848i
$475$	19.1031	−	13.2780i	0.876509	−	0.609235i
$476$	4.09109	−	34.3430i	0.187515	−	1.57411i
$477$	1.69695	+	6.33310i	0.0776980	+	0.289973i
$478$	−5.74202	+	2.87581i	−0.262634	+	0.131536i
$479$	12.1593	−	7.02015i	0.555570	−	0.320759i	−0.195795	−	0.980645i	$-0.562729\pi$
$479$	12.1593	−	7.02015i	0.555570	−	0.320759i	0.751366	+	0.659886i	$0.229395\pi$
$480$	9.58847	−	16.8909i	0.437652	−	0.770961i
$481$	−2.65303	−	9.52347i	−0.120968	−	0.434233i
$482$	0.160865	−	2.71033i	0.00732719	−	0.123452i
$483$	9.23128	−	34.4516i	0.420038	−	1.56760i
$484$	−1.18812	−	2.77120i	−0.0540054	−	0.125964i
$485$	−3.37736	+	3.67298i	−0.153358	+	0.166781i
$486$	6.92691	−	6.15072i	0.314211	−	0.279002i
$487$	0.370284	+	1.38192i	0.0167792	+	0.0626208i	0.973808	−	0.227373i	$-0.0730135\pi$
$487$	0.370284	+	1.38192i	0.0167792	+	0.0626208i	−0.957029	+	0.289993i	$0.906347\pi$
$488$	−5.48766	+	6.49607i	−0.248415	+	0.294063i
$489$	−17.7812			−0.804094
$490$	−2.76240	−	0.0480086i	−0.124792	−	0.00216881i
$491$	−4.03398	+	2.32902i	−0.182051	+	0.105107i	−0.588256	−	0.808675i	$-0.700185\pi$
$491$	−4.03398	+	2.32902i	−0.182051	+	0.105107i	0.406205	+	0.913782i	$0.366852\pi$
$492$	−13.7885	+	34.4855i	−0.621636	+	1.55473i
$493$	−10.0164	−	10.0164i	−0.451116	−	0.451116i
$494$	−10.8337	−	21.1072i	−0.487429	−	0.949657i
$495$	2.72149	+	4.28821i	0.122322	+	0.192741i
$496$	−2.67565	−	9.08325i	−0.120140	−	0.407850i
$497$	−1.80554	−	0.483794i	−0.0809896	−	0.0217011i
$498$	11.1384	−	16.8945i	0.499126	−	0.757060i
$499$		−	24.9546i		−	1.11712i	−0.829463	−	0.558562i	$-0.811353\pi$
$499$		−	24.9546i		−	1.11712i	0.829463	−	0.558562i	$-0.188647\pi$
$500$	−19.4444	−	11.0416i	−0.869578	−	0.493795i
$501$	−18.8939	−	10.9084i	−0.844116	−	0.487350i
$502$	−0.718626	+	12.1078i	−0.0320739	+	0.540396i
$503$	−9.38763	−	35.0351i	−0.418574	−	1.56214i	−0.777568	−	0.628799i	$-0.783547\pi$
$503$	−9.38763	−	35.0351i	−0.418574	−	1.56214i	0.358994	−	0.933340i	$-0.383120\pi$
$504$	2.16948	−	4.61247i	0.0966363	−	0.205456i
$505$	6.57983	+	3.43971i	0.292799	+	0.153065i
$506$	−30.9593	+	27.4902i	−1.37631	+	1.22209i
$507$	13.8330	−	14.3913i	0.614344	−	0.639141i
$508$	−7.03647	−	8.93961i	−0.312193	−	0.396631i
$509$	−8.00097	−	13.8581i	−0.354637	−	0.614249i	0.632419	−	0.774626i	$-0.282062\pi$
$509$	−8.00097	−	13.8581i	−0.354637	−	0.614249i	−0.987056	+	0.160378i	$0.948729\pi$
$510$	−15.4104	+	25.6516i	−0.682382	+	1.13587i
$511$	2.66319	+	1.53759i	0.117812	+	0.0680190i
$512$	19.4824	+	11.5081i	0.861009	+	0.508590i
$513$	−6.73498	−	25.1353i	−0.297357	−	1.10975i
$514$	−2.08783	−	10.1681i	−0.0920901	−	0.448495i
$515$	−0.925614	+	4.14130i	−0.0407874	+	0.182487i
$516$	−1.87017	−	1.39872i	−0.0823295	−	0.0615754i
$517$	−4.68988	−	1.25665i	−0.206260	−	0.0552673i
$518$	−4.87251	−	9.72875i	−0.214086	−	0.427457i
$519$	−16.1977			−0.711001
$520$	−13.7941	+	18.1583i	−0.604909	+	0.796294i
$521$	−26.5175			−1.16175			−0.580876	−	0.813992i	$-0.697290\pi$
$521$	−26.5175			−1.16175			−0.580876	+	0.813992i	$0.697290\pi$
$522$	−0.934882	−	1.86664i	−0.0409187	−	0.0817008i
$523$	26.2014	+	7.02065i	1.14571	+	0.306991i	0.781244	−	0.624226i	$-0.214586\pi$
$523$	26.2014	+	7.02065i	1.14571	+	0.306991i	0.364464	+	0.931218i	$0.381252\pi$
$524$	9.76175	+	7.30094i	0.426444	+	0.318943i
$525$	19.4931	+	9.17193i	0.850749	+	0.400296i
$526$	5.69882	+	27.7543i	0.248480	+	1.21014i
$527$	3.77594	+	14.0920i	0.164483	+	0.613858i
$528$	18.5380	−	11.3216i	0.806765	−	0.492709i
$529$	39.4266	+	22.7630i	1.71420	+	0.989694i
$530$	−7.81234	−	31.3235i	−0.339346	−	1.36061i
$531$	1.49132	+	2.58304i	0.0647177	+	0.112094i
$532$	−16.1503	−	20.5184i	−0.700204	−	0.889587i
$533$	21.4278	−	37.9765i	0.928140	−	1.64495i
$534$	9.82511	−	8.72416i	0.425174	−	0.377531i
$535$	9.08303	+	28.9822i	0.392693	+	1.25301i
$536$	−22.2359	−	10.4587i	−0.960443	−	0.451745i
$537$	−0.837409	−	3.12525i	−0.0361369	−	0.134865i
$538$	−0.617431	+	10.4028i	−0.0266194	+	0.448496i
$539$	−2.67589	−	1.54493i	−0.115259	−	0.0665448i
$540$	−18.9881	+	16.2791i	−0.817116	+	0.700543i
$541$		−	4.72510i		−	0.203148i	−0.994828	−	0.101574i	$-0.967612\pi$
$541$		−	4.72510i		−	0.203148i	0.994828	−	0.101574i	$-0.0323879\pi$
$542$	−8.71158	+	13.2135i	−0.374194	+	0.567567i
$543$	7.31502	+	1.96005i	0.313918	+	0.0841140i
$544$	−29.5701	−	18.4655i	−1.26781	−	0.791701i
$545$	−4.62925	+	2.93792i	−0.198295	+	0.125847i
$546$	11.9109	−	18.4608i	0.509738	−	0.790050i
$547$	−19.6920	−	19.6920i	−0.841970	−	0.841970i	0.147145	−	0.989115i	$-0.452992\pi$
$547$	−19.6920	−	19.6920i	−0.841970	−	0.841970i	−0.989115	+	0.147145i	$0.952992\pi$
$548$	8.34010	−	20.8588i	0.356271	−	0.891043i
$549$	1.67222	−	0.965456i	0.0713686	−	0.0412047i
$550$	−13.0312	−	21.3440i	−0.555651	−	0.910112i
$551$	−10.6947			−0.455611
$552$	−27.4640	−	23.2006i	−1.16894	−	0.987485i
$553$	9.87491	+	36.8537i	0.419924	+	1.56718i
$554$	1.77970	−	1.58027i	0.0756121	−	0.0671394i
$555$	0.394394	+	9.40604i	0.0167411	+	0.399264i
$556$	4.75385	+	11.0880i	0.201608	+	0.470236i
$557$	7.08998	−	26.4602i	0.300412	−	1.12115i	−0.636411	−	0.771350i	$-0.719582\pi$
$557$	7.08998	−	26.4602i	0.300412	−	1.12115i	0.936823	−	0.349803i	$-0.113752\pi$
$558$	−0.127391	+	2.14635i	−0.00539290	+	0.0908622i
$559$	1.95788	+	1.91953i	0.0828095	+	0.0811875i
$560$	−11.0751	+	22.5219i	−0.468010	+	0.951724i
$561$	−28.9831	+	16.7334i	−1.22367	+	0.706486i
$562$	30.7635	−	15.4075i	1.29768	−	0.649925i
$563$	−11.9238	−	44.5002i	−0.502528	−	1.87546i	−0.482944	−	0.875651i	$-0.660433\pi$
$563$	−11.9238	−	44.5002i	−0.502528	−	1.87546i	−0.0195834	−	0.999808i	$-0.506234\pi$
$564$	0.498715	−	4.18650i	0.0209997	−	0.176283i
$565$	−30.3479	+	33.0042i	−1.27675	+	1.38850i
$566$	8.35741	+	40.7021i	0.351288	+	1.71084i
$567$	13.2160	−	13.2160i	0.555020	−	0.555020i
$568$	−1.21590	+	1.43933i	−0.0510181	+	0.0603931i
$569$	−16.0106	+	9.24375i	−0.671201	+	0.387518i	−0.796531	−	0.604597i	$-0.793334\pi$
$569$	−16.0106	+	9.24375i	−0.671201	+	0.387518i	0.125331	+	0.992115i	$0.460001\pi$
$570$	5.46737	+	21.9214i	0.229003	+	0.918184i
$571$		−	0.440985i		−	0.0184547i	−0.999957	−	0.00922733i	$-0.997063\pi$
$571$		−	0.440985i		−	0.0184547i	0.999957	−	0.00922733i	$-0.00293719\pi$
$572$	−23.3388	+	10.2807i	−0.975846	+	0.429857i
$573$	8.49924	+	8.49924i	0.355061	+	0.355061i
$574$	15.1458	−	45.5389i	0.632175	−	1.90076i
$575$	−26.7145	+	31.6146i	−1.11407	+	1.31842i
$576$	−3.27643	−	3.95770i	−0.136518	−	0.164904i
$577$	−20.6868	−	20.6868i	−0.861202	−	0.861202i	0.130276	−	0.991478i	$-0.458414\pi$
$577$	−20.6868	−	20.6868i	−0.861202	−	0.861202i	−0.991478	+	0.130276i	$0.958414\pi$
$578$	24.7713	+	16.3316i	1.03035	+	0.679305i
$579$	0.585281	+	0.337912i	0.0243235	+	0.0140432i
$580$	4.44278	+	9.26960i	0.184476	+	0.384899i
$581$	−13.0742	+	22.6452i	−0.542409	+	0.939480i
$582$	−2.16996	−	4.33267i	−0.0899475	−	0.179595i
$583$	9.34452	−	34.8742i	0.387011	−	1.44434i
$584$	2.54505	−	1.76952i	0.105315	−	0.0732231i
$585$	4.34416	−	2.81765i	0.179609	−	0.116495i
$586$	0.553004	−	0.491038i	0.0228444	−	0.0202846i
$587$	31.0248	+	8.31308i	1.28053	+	0.343117i	0.834057	−	0.551679i	$-0.186012\pi$
$587$	31.0248	+	8.31308i	1.28053	+	0.343117i	0.446475	+	0.894796i	$0.352679\pi$
$588$	0.996114	−	2.49130i	0.0410790	−	0.102740i
$589$	9.53900	+	5.50734i	0.393048	+	0.226926i
$590$	−7.12086	−	12.8441i	−0.293161	−	0.528782i
$591$	−9.03946	+	15.6568i	−0.371834	+	0.644035i
$592$	−10.9643	+	0.270518i	−0.450630	+	0.0111182i
$593$	−17.7996	+	17.7996i	−0.730942	+	0.730942i	−0.970806	−	0.239865i	$-0.922897\pi$
$593$	−17.7996	+	17.7996i	−0.730942	+	0.730942i	0.239865	+	0.970806i	$0.422897\pi$
$594$	−27.4001	+	5.62610i	−1.12424	+	0.230842i
$595$	17.9142	−	34.2681i	0.734409	−	1.40485i
$596$	10.4141	+	24.2901i	0.426578	+	0.994962i
$597$	4.72087	−	4.72087i	0.193212	−	0.193212i
$598$	28.3369	+	31.2841i	1.15878	+	1.27930i
$599$	−23.7215			−0.969235			−0.484618	−	0.874726i	$-0.661041\pi$
$599$	−23.7215			−0.969235			−0.484618	+	0.874726i	$0.661041\pi$
$600$	16.7290	−	13.8453i	0.682958	−	0.565233i
$601$	0.267316	+	0.463005i	0.0109041	+	0.0188864i	0.871426	−	0.490527i	$-0.163196\pi$
$601$	0.267316	+	0.463005i	0.0109041	+	0.0188864i	−0.860522	+	0.509413i	$0.829862\pi$
$602$	2.51944	+	1.66105i	0.102685	+	0.0676995i
$603$	3.94540	+	3.94540i	0.160669	+	0.160669i
$604$	−9.63055	+	12.8766i	−0.391862	+	0.523939i
$605$	−0.141224	−	3.36809i	−0.00574156	−	0.136932i
$606$	−5.39161	+	4.78746i	−0.219019	+	0.194477i
$607$	−44.8754	+	12.0243i	−1.82143	+	0.488052i	−0.996965	−	0.0778539i	$-0.975193\pi$
$607$	−44.8754	+	12.0243i	−1.82143	+	0.488052i	−0.824470	+	0.565906i	$0.808527\pi$
$608$	−25.6443	+	5.92833i	−1.04002	+	0.240426i
$609$	−4.95173	−	8.57664i	−0.200654	−	0.347543i
$610$	−8.31505	+	4.60993i	−0.336667	+	0.186651i
$611$	−1.23380	+	4.79374i	−0.0499141	+	0.193934i
$612$	4.89606	+	6.22029i	0.197912	+	0.251440i
$613$	29.1542	+	7.81185i	1.17753	+	0.315517i	0.793945	−	0.607989i	$-0.208024\pi$
$613$	29.1542	+	7.81185i	1.17753	+	0.315517i	0.383582	+	0.923507i	$0.374690\pi$
$614$	21.1590	+	7.03729i	0.853907	+	0.284002i
$615$	−28.1058	+	30.5659i	−1.13334	+	1.23254i
$616$	−23.0457	+	16.0231i	−0.928537	+	0.645591i
$617$	34.9065	−	9.35317i	1.40528	−	0.376545i	0.525044	−	0.851075i	$-0.324049\pi$
$617$	34.9065	−	9.35317i	1.40528	−	0.376545i	0.880239	+	0.474530i	$0.157382\pi$
$618$	−3.44053	−	2.26833i	−0.138399	−	0.0912455i
$619$		−	32.1530i		−	1.29234i	−0.763194	−	0.646169i	$-0.776370\pi$
$619$		−	32.1530i		−	1.29234i	0.763194	−	0.646169i	$-0.223630\pi$
$620$	0.810796	−	10.5557i	0.0325624	−	0.423928i
$621$	23.1481	+	40.0937i	0.928902	+	1.60891i
$622$	−21.9411	+	10.9889i	−0.879759	+	0.440615i
$623$	−12.0056	+	12.0056i	−0.480995	+	0.480995i
$624$	−11.7287	−	18.7844i	−0.469522	−	0.751976i
$625$	−15.9369	−	19.2617i	−0.637478	−	0.770469i
$626$	−1.40924	+	4.23716i	−0.0563247	+	0.169351i
$627$	−6.53965	+	24.4063i	−0.261168	+	0.974693i
$628$	0.826067	+	5.72778i	0.0329637	+	0.228563i
$629$	16.8979			0.673763
$630$	4.09911	−	3.95907i	0.163312	−	0.157733i
$631$	−2.96013	+	5.12709i	−0.117841	+	0.204106i	−0.918912	−	0.394463i	$-0.870931\pi$
$631$	−2.96013	+	5.12709i	−0.117841	+	0.204106i	0.801071	+	0.598569i	$0.204264\pi$
$632$	37.8519	+	6.80381i	1.50567	+	0.270641i
$633$	−21.2174	+	5.68520i	−0.843318	+	0.225966i
$634$	−1.54953	+	4.65896i	−0.0615396	+	0.185031i
$635$	−3.80386	−	12.1374i	−0.150952	−	0.481658i
$636$	31.1311	+	3.70848i	1.23443	+	0.147051i
$637$	−1.54799	+	2.74350i	−0.0613335	+	0.108702i
$638$	−0.681122	+	11.4759i	−0.0269659	+	0.454335i
$639$	0.370514	−	0.213916i	0.0146573	−	0.00846239i
$640$	15.7914	+	19.7644i	0.624212	+	0.781255i
$641$	17.3458	−	30.0439i	0.685119	−	1.18666i	−0.288280	−	0.957546i	$-0.593083\pi$
$641$	17.3458	−	30.0439i	0.685119	−	1.18666i	0.973399	−	0.229115i	$-0.0735832\pi$
$642$	−29.4437	−	1.74756i	−1.16205	−	0.0689705i
$643$	−28.4315	+	7.61821i	−1.12123	+	0.300433i	−0.771381	−	0.636373i	$-0.780434\pi$
$643$	−28.4315	+	7.61821i	−1.12123	+	0.300433i	−0.349849	+	0.936806i	$0.613767\pi$
$644$	37.2024	+	27.8242i	1.46598	+	1.09643i
$645$	−1.39909	−	2.20454i	−0.0550893	−	0.0868035i
$646$	39.7235	−	8.15649i	1.56290	−	0.320913i
$647$	7.83484	−	29.2400i	0.308019	−	1.14954i	−0.622296	−	0.782782i	$-0.713800\pi$
$647$	7.83484	−	29.2400i	0.308019	−	1.14954i	0.930315	−	0.366761i	$-0.119533\pi$
$648$	−6.38478	−	17.7247i	−0.250818	−	0.696292i
$649$		−	16.4244i		−	0.644712i
$650$	−21.6277	+	13.4998i	−0.848307	+	0.529505i
$651$			10.1997i			0.399759i
$652$	8.59844	−	21.5049i	0.336741	−	0.842196i
$653$	6.88290	−	25.6874i	0.269349	−	1.00522i	−0.690186	−	0.723632i	$-0.742471\pi$
$653$	6.88290	−	25.6874i	0.269349	−	1.00522i	0.959534	−	0.281591i	$-0.0908622\pi$
$654$	−1.07096	−	5.21575i	−0.0418777	−	0.203952i
$655$	7.30288	+	11.5071i	0.285347	+	0.449618i
$656$	−35.0396	−	33.3522i	−1.36807	−	1.30218i
$657$	−0.679868	+	0.182170i	−0.0265242	+	0.00710713i
$658$	−0.322783	+	5.43840i	−0.0125834	+	0.212011i
$659$	−18.5838	+	32.1882i	−0.723924	+	1.25387i	0.235492	+	0.971876i	$0.424330\pi$
$659$	−18.5838	+	32.1882i	−0.723924	+	1.25387i	−0.959416	+	0.281996i	$0.909003\pi$
$660$	23.8707	−	4.47059i	0.929166	−	0.174018i
$661$	−9.30708	+	5.37345i	−0.362004	+	0.209003i	−0.669959	−	0.742398i	$-0.733688\pi$
$661$	−9.30708	+	5.37345i	−0.362004	+	0.209003i	0.307956	+	0.951401i	$0.400355\pi$
$662$	6.61740	+	0.392759i	0.257192	+	0.0152650i
$663$	17.3510	+	29.3780i	0.673859	+	1.14095i
$664$	15.0463	+	21.6407i	0.583908	+	0.839821i
$665$	−8.73072	−	27.8581i	−0.338563	−	1.08029i
$666$	2.36312	+	0.785951i	0.0915689	+	0.0304550i
$667$	18.3789	−	4.92461i	0.711634	−	0.190682i
$668$	22.3293	−	17.5756i	0.863945	−	0.680021i
$669$	−8.88889	+	15.3960i	−0.343664	+	0.595244i
$670$	−19.0859	−	19.7611i	−0.737354	−	0.763436i
$671$	−10.6329			−0.410478
$672$	−16.6277	−	17.8206i	−0.641428	−	0.687446i
$673$	−5.53848	+	20.6699i	−0.213493	+	0.796766i	0.773199	+	0.634164i	$0.218655\pi$
$673$	−5.53848	+	20.6699i	−0.213493	+	0.796766i	−0.986692	+	0.162602i	$0.948011\pi$
$674$	−21.4405	−	7.13093i	−0.825858	−	0.274673i
$675$	−26.3098	+	9.47315i	−1.01266	+	0.364622i
$676$	10.7159	+	23.6890i	0.412151	+	0.911116i
$677$	3.25068	−	3.25068i	0.124934	−	0.124934i	−0.641875	−	0.766809i	$-0.721843\pi$
$677$	3.25068	−	3.25068i	0.124934	−	0.124934i	0.766809	+	0.641875i	$0.221843\pi$
$678$	−19.4986	−	38.9320i	−0.748837	−	1.49518i
$679$	3.13076	+	5.42264i	0.120148	+	0.208102i
$680$	−23.5714	−	31.0418i	−0.903923	−	1.19040i
$681$		−	18.6997i		−	0.716572i
$682$	6.51712	−	9.88499i	0.249554	−	0.378516i
$683$	28.5797	−	7.65791i	1.09357	−	0.293022i	0.333428	−	0.942776i	$-0.391795\pi$
$683$	28.5797	−	7.65791i	1.09357	−	0.293022i	0.760145	+	0.649754i	$0.225128\pi$
$684$	5.93459	+	0.706955i	0.226915	+	0.0270311i
$685$	17.0000	−	18.4880i	0.649537	−	0.706391i
$686$	7.67241	−	23.0686i	0.292934	−	0.880764i
$687$	−15.7893	−	4.23074i	−0.602401	−	0.161413i
$688$	2.59599	−	1.58543i	0.0989714	−	0.0604440i
$689$	−35.6466	−	9.17460i	−1.35803	−	0.349524i
$690$	−19.4898	−	35.1543i	−0.741964	−	1.33830i
$691$	−13.1747	−	22.8192i	−0.501189	−	0.868084i	−0.999999	−	0.00137322i	$-0.999563\pi$
$691$	−13.1747	−	22.8192i	−0.501189	−	0.868084i	0.498810	−	0.866711i	$-0.333770\pi$
$692$	7.83271	−	19.5898i	0.297755	−	0.744692i
$693$	6.15627	−	1.64957i	0.233857	−	0.0626619i
$694$	−14.9375	−	16.8225i	−0.567020	−	0.638575i
$695$	0.565058	+	13.4762i	0.0214339	+	0.511183i
$696$	−9.94742	+	0.837059i	−0.377056	+	0.0317286i
$697$	52.7017	+	52.7017i	1.99622	+	1.99622i
$698$	14.0530	−	21.3152i	0.531914	−	0.806793i
$699$	20.7325	+	35.9097i	0.784174	+	1.35823i
$700$	−20.5189	+	19.1400i	−0.775543	+	0.723425i
$701$	45.2070			1.70745			0.853723	−	0.520728i	$-0.174339\pi$
$701$	45.2070			1.70745			0.853723	+	0.520728i	$0.174339\pi$
$702$	6.01177	+	27.8762i	0.226900	+	1.05212i
$703$	9.02112	−	9.02112i	0.340238	−	0.340238i
$704$	4.72811	+	27.8950i	0.178197	+	1.05133i
$705$	2.18378	−	4.17737i	0.0822461	−	0.157329i
$706$	2.13740	+	10.4095i	0.0804422	+	0.391768i
$707$	6.58819	−	6.58819i	0.247774	−	0.247774i
$708$	14.1160	−	2.03582i	0.530511	−	0.0765109i
$709$	3.66703	−	6.35148i	0.137718	−	0.238535i	−0.788914	−	0.614503i	$-0.789357\pi$
$709$	3.66703	−	6.35148i	0.137718	−	0.238535i	0.926633	+	0.375968i	$0.122690\pi$
$710$	−1.84237	+	1.02142i	−0.0691428	+	0.0383333i
$711$	−7.56271	−	4.36633i	−0.283624	−	0.163750i
$712$	5.80003	+	16.1014i	0.217365	+	0.603425i
$713$	−18.9287	−	5.07194i	−0.708887	−	0.189946i
$714$	24.9333	+	28.0798i	0.933107	+	1.05086i
$715$	−28.4748	+	1.47619i	−1.06490	+	0.0552062i
$716$	4.18468	+	0.498498i	0.156389	+	0.0186298i
$717$	1.80466	−	6.73508i	0.0673963	−	0.251526i
$718$	30.8807	−	15.4662i	1.15246	−	0.577192i
$719$	7.10920	−	12.3135i	0.265128	−	0.459216i	−0.702469	−	0.711715i	$-0.747919\pi$
$719$	7.10920	−	12.3135i	0.265128	−	0.459216i	0.967597	+	0.252499i	$0.0812523\pi$
$720$	−1.85258	−	5.43745i	−0.0690416	−	0.202642i
$721$	4.61165	+	2.66254i	0.171747	+	0.0991582i
$722$	2.06228	−	3.12801i	0.0767500	−	0.116412i
$723$	2.08452	+	2.08452i	0.0775240	+	0.0775240i
$724$	−5.90784	+	7.89909i	−0.219563	+	0.293567i
$725$	0.962076	+	11.4523i	0.0357306	+	0.425326i
$726$	3.10643	+	1.03317i	0.115291	+	0.0383446i
$727$	24.5147	+	24.5147i	0.909202	+	0.909202i	0.996208	−	0.0870062i	$-0.0277300\pi$
$727$	24.5147	+	24.5147i	0.909202	+	0.909202i	−0.0870062	+	0.996208i	$0.527730\pi$
$728$	16.5671	+	23.3323i	0.614017	+	0.864751i
$729$			30.0404i			1.11261i
$730$	3.36262	−	0.838666i	0.124456	−	0.0310404i
$731$	−4.05869	+	2.34328i	−0.150116	+	0.0866695i
$732$	−1.31796	−	9.13847i	−0.0487132	−	0.337767i
$733$	−18.6115	+	18.6115i	−0.687432	+	0.687432i	−0.961664	−	0.274232i	$-0.911576\pi$
$733$	−18.6115	+	18.6115i	−0.687432	+	0.687432i	0.274232	+	0.961664i	$0.411576\pi$
$734$	−29.2213	+	6.00005i	−1.07858	+	0.221466i
$735$	2.03043	−	2.20815i	0.0748934	−	0.0814488i
$736$	41.3400	−	21.9963i	1.52381	−	0.810794i
$737$	−7.95226	−	29.6782i	−0.292925	−	1.09321i
$738$	4.91892	+	9.82142i	0.181068	+	0.361532i
$739$	−20.1938	+	11.6589i	−0.742840	+	0.428879i	−0.823101	−	0.567895i	$-0.807758\pi$
$739$	−20.1938	+	11.6589i	−0.742840	+	0.428879i	0.0802613	+	0.996774i	$0.474425\pi$
$740$	−11.5665	−	4.07148i	−0.425194	−	0.149671i
$741$	24.9468	+	6.42073i	0.916444	+	0.235871i
$742$	−40.4403	−	2.40023i	−1.48461	−	0.0881153i
$743$	11.5603	−	43.1437i	0.424107	−	1.58279i	−0.341760	−	0.939787i	$-0.611023\pi$
$743$	11.5603	−	43.1437i	0.424107	−	1.58279i	0.765866	−	0.643000i	$-0.222310\pi$
$744$	9.30350	+	4.37591i	0.341083	+	0.160429i
$745$	1.23785	+	29.5220i	0.0453514	+	1.08160i
$746$	26.1970	+	29.5029i	0.959139	+	1.08018i
$747$	−1.54900	−	5.78094i	−0.0566749	−	0.211514i
$748$	−6.22234	−	43.1445i	−0.227511	−	1.57752i
$749$	38.1136			1.39264
$750$	22.9822	−	7.82663i	0.839193	−	0.285788i
$751$	−27.1924	+	15.6996i	−0.992266	+	0.572885i	−0.905951	−	0.423383i	$-0.860843\pi$
$751$	−27.1924	+	15.6996i	−0.992266	+	0.572885i	−0.0863154	+	0.996268i	$0.527509\pi$
$752$	4.82206	+	2.62761i	0.175842	+	0.0958192i
$753$	−9.31210	−	9.31210i	−0.339352	−	0.339352i
$754$	11.7059	+	0.578658i	0.426304	+	0.0210735i
$755$	−15.1788	+	9.63310i	−0.552412	+	0.350585i
$756$	12.3677	+	28.8466i	0.449807	+	1.04914i
$757$	−41.0551	−	11.0007i	−1.49217	−	0.399827i	−0.581704	−	0.813401i	$-0.697614\pi$
$757$	−41.0551	−	11.0007i	−1.49217	−	0.399827i	−0.910471	+	0.413574i	$0.864280\pi$
$758$	33.5890	+	22.1451i	1.22001	+	0.804345i
$759$		−	44.9535i		−	1.63171i
$760$	−29.1559	−	3.98815i	−1.05760	−	0.144665i
$761$	−32.0923	−	18.5285i	−1.16334	−	0.671657i	−0.211241	−	0.977434i	$-0.567751\pi$
$761$	−32.0923	−	18.5285i	−1.16334	−	0.671657i	−0.952103	+	0.305777i	$0.901084\pi$
$762$	12.3307	+	0.731855i	0.446693	+	0.0265123i
$763$	1.78076	+	6.64587i	0.0644677	+	0.240597i
$764$	−14.3891	+	6.16916i	−0.520579	+	0.223192i
$765$	2.64677	+	8.44535i	0.0956943	+	0.305342i
$766$	−32.9410	−	37.0980i	−1.19021	−	1.34040i
$767$	−16.7437	+	0.165603i	−0.604581	+	0.00597957i
$768$	−23.3884	+	7.52122i	−0.843956	+	0.271399i
$769$	4.01194	+	6.94889i	0.144674	+	0.250583i	0.929251	−	0.369448i	$-0.120453\pi$
$769$	4.01194	+	6.94889i	0.144674	+	0.250583i	−0.784577	+	0.620031i	$0.787120\pi$
$770$	−30.4489	+	7.59421i	−1.09730	+	0.273676i
$771$	9.76050	+	5.63523i	0.351516	+	0.202948i
$772$	−0.691700	+	0.544445i	−0.0248948	+	0.0195950i
$773$	6.49062	+	24.2233i	0.233451	+	0.871252i	0.978841	+	0.204623i	$0.0655969\pi$
$773$	6.49062	+	24.2233i	0.233451	+	0.871252i	−0.745389	+	0.666629i	$0.767736\pi$
$774$	−0.676585	+	0.138924i	−0.0243193	+	0.00499352i
$775$	5.03933	−	10.7101i	0.181018	−	0.384718i
$776$	6.28932	−	0.529236i	0.225774	−	0.0189985i
$777$	11.4113	+	3.05765i	0.409379	+	0.109693i
$778$	8.89879	−	4.45683i	0.319037	−	0.159785i
$779$	56.2708			2.01611
$780$	−4.79821	−	24.2898i	−0.171803	−	0.869714i
$781$	−2.35593			−0.0843017
$782$	−64.5091	+	32.3084i	−2.30684	+	1.15535i
$783$	12.4168	+	3.32708i	0.443741	+	0.118900i
$784$	2.53133	+	2.40943i	0.0904048	+	0.0860512i
$785$	−1.41130	+	6.31431i	−0.0503715	+	0.225368i
$786$	−12.9649	+	2.66210i	−0.462444	+	0.0949541i
$787$	9.99632	+	37.3068i	0.356330	+	1.32984i	0.878802	+	0.477186i	$0.158343\pi$
$787$	9.99632	+	37.3068i	0.356330	+	1.32984i	−0.522472	+	0.852656i	$0.674990\pi$
$788$	−14.5644	−	18.5036i	−0.518835	−	0.659164i
$789$	−26.6417	−	15.3816i	−0.948471	−	0.547600i
$790$	36.8581	+	22.1428i	1.31135	+	0.787806i
$791$	28.1321	+	48.7262i	1.00026	+	1.73250i
$792$	1.13655	−	6.32303i	0.0403856	−	0.224679i
$793$	0.107209	+	10.8396i	0.00380709	+	0.384927i
$794$	−9.87230	−	11.1181i	−0.350355	−	0.394568i
$795$	31.0632	+	16.2388i	1.10170	+	0.575930i
$796$	3.42664	+	7.99237i	0.121454	+	0.283282i
$797$	4.96619	+	18.5341i	0.175912	+	0.656511i	0.996395	+	0.0848400i	$0.0270379\pi$
$797$	4.96619	+	18.5341i	0.175912	+	0.656511i	−0.820483	+	0.571671i	$0.806295\pi$
$798$	28.3016	+	1.67977i	1.00187	+	0.0594633i
$799$	−7.32724	−	4.23038i	−0.259219	−	0.149660i
$800$	8.65515	+	26.9275i	0.306006	+	0.952030i
$801$		−	3.88606i		−	0.137307i
$802$	28.5948	+	18.8524i	1.00972	+	0.665701i
$803$	3.74380	+	1.00315i	0.132116	+	0.0354003i
$804$	24.5214	−	10.5133i	0.864803	−	0.370774i
$805$	27.8316	+	43.8538i	0.980934	+	1.54564i
$806$	−10.1429	−	6.54418i	−0.357269	−	0.230509i
$807$	−8.00079	−	8.00079i	−0.281641	−	0.281641i
$808$	−3.18282	−	8.83577i	−0.111971	−	0.310841i
$809$	26.8347	−	15.4930i	0.943457	−	0.544705i	0.0524147	−	0.998625i	$-0.483308\pi$
$809$	26.8347	−	15.4930i	0.943457	−	0.544705i	0.891042	+	0.453920i	$0.149975\pi$
$810$	0.366011	−	21.0601i	0.0128603	−	0.739977i
$811$	8.42198			0.295736			0.147868	−	0.989007i	$-0.452759\pi$
$811$	8.42198			0.295736			0.147868	+	0.989007i	$0.452759\pi$
$812$	12.7672	−	1.84130i	0.448042	−	0.0646171i
$813$	−4.44758	−	16.5986i	−0.155984	−	0.582138i
$814$	−9.10549	−	10.2546i	−0.319147	−	0.359422i
$815$	17.5266	−	19.0607i	0.613930	−	0.667667i
$816$	36.3094	−	10.6956i	1.27108	−	0.374422i
$817$	−0.915786	+	3.41776i	−0.0320393	+	0.119572i
$818$	−33.0963	−	1.96435i	−1.15719	−	0.0686818i
$819$	−1.74372	−	6.25935i	−0.0609304	−	0.218719i
$820$	−23.3759	−	48.7724i	−0.816320	−	1.70321i
$821$	7.05465	−	4.07300i	0.246209	−	0.142149i	−0.371818	−	0.928306i	$-0.621266\pi$
$821$	7.05465	−	4.07300i	0.246209	−	0.142149i	0.618027	+	0.786157i	$0.287932\pi$
$822$	10.9225	+	21.8086i	0.380967	+	0.760662i
$823$	−4.09774	−	15.2930i	−0.142838	−	0.533080i	−0.999842	−	0.0177699i	$-0.994343\pi$
$823$	−4.09774	−	15.2930i	−0.142838	−	0.533080i	0.857004	−	0.515310i	$-0.172323\pi$
$824$	4.40709	−	3.06415i	0.153528	−	0.106745i
$825$	26.7233	+	4.80732i	0.930387	+	0.167369i
$826$	−18.0525	+	3.70675i	−0.628128	+	0.128974i
$827$	20.4293	−	20.4293i	0.710398	−	0.710398i	−0.256221	−	0.966618i	$-0.582477\pi$
$827$	20.4293	−	20.4293i	0.710398	−	0.710398i	0.966618	+	0.256221i	$0.0824774\pi$
$828$	−10.5241	+	1.51780i	−0.365738	+	0.0527472i
$829$	41.3803	−	23.8909i	1.43720	−	0.829766i	0.439542	−	0.898222i	$-0.355141\pi$
$829$	41.3803	−	23.8909i	1.43720	−	0.829766i	0.997654	+	0.0684564i	$0.0218074\pi$
$830$	7.13121	+	28.5925i	0.247528	+	0.992460i
$831$			2.58416i			0.0896434i
$832$	28.3897	−	5.10131i	0.984237	−	0.176856i
$833$	−3.80728	−	3.80728i	−0.131915	−	0.131915i
$834$	−12.4293	−	4.13388i	−0.430392	−	0.143145i
$835$	30.3166	−	9.50124i	1.04915	−	0.328804i
$836$	−26.3550	−	19.7113i	−0.911507	−	0.681729i
$837$	−9.36168	−	9.36168i	−0.323587	−	0.323587i
$838$	17.8784	−	27.1175i	0.617600	−	0.936758i
$839$	21.3554	+	12.3296i	0.737271	+	0.425664i	0.821076	−	0.570819i	$-0.193374\pi$
$839$	21.3554	+	12.3296i	0.737271	+	0.425664i	−0.0838053	+	0.996482i	$0.526707\pi$
$840$	−10.3011	−	25.2281i	−0.355420	−	0.870452i
$841$	−11.8584	+	20.5394i	−0.408910	+	0.708254i
$842$	−8.55972	+	4.28701i	−0.294987	+	0.147740i
$843$	−9.66869	+	36.0840i	−0.333007	+	1.24280i
$844$	3.38432	−	28.4099i	0.116493	−	0.977910i
$845$	1.79199	+	29.0136i	0.0616465	+	0.998098i
$846$	−0.827928	−	0.932409i	−0.0284648	−	0.0320569i
$847$	−4.08613	−	1.09488i	−0.140401	−	0.0376204i
$848$	−19.5391	+	35.8571i	−0.670975	+	1.23134i
$849$	−39.0705	−	22.5574i	−1.34090	−	0.774167i
$850$	−12.3077	−	41.8035i	−0.422150	−	1.43385i
$851$	−11.3488	+	19.6567i	−0.389033	+	0.673824i
$852$	−0.292020	−	2.02481i	−0.0100045	−	0.0693689i
$853$	1.88670	−	1.88670i	0.0645994	−	0.0645994i	−0.674069	−	0.738668i	$-0.735455\pi$
$853$	1.88670	−	1.88670i	0.0645994	−	0.0645994i	0.738668	+	0.674069i	$0.235455\pi$
$854$	2.39969	+	11.6869i	0.0821158	+	0.399919i
$855$	5.92165	+	3.09563i	0.202516	+	0.105868i
$856$	16.3516	−	34.7646i	0.558885	−	1.18823i
$857$	−17.6801	+	17.6801i	−0.603941	+	0.603941i	−0.941356	−	0.337415i	$-0.890447\pi$
$857$	−17.6801	+	17.6801i	−0.603941	+	0.603941i	0.337415	+	0.941356i	$0.390447\pi$
$858$	8.47851	−	26.3600i	0.289451	−	0.899916i
$859$	−16.1918			−0.552458			−0.276229	−	0.961092i	$-0.589085\pi$
$859$	−16.1918			−0.552458			−0.276229	+	0.961092i	$0.589085\pi$
$860$	3.34276	−	0.626044i	0.113987	−	0.0213479i
$861$	26.0537	+	45.1264i	0.887908	+	1.53790i
$862$	27.3437	−	41.4741i	0.931329	−	1.41261i
$863$	2.71648	+	2.71648i	0.0924701	+	0.0924701i	0.751829	−	0.659359i	$-0.229172\pi$
$863$	2.71648	+	2.71648i	0.0924701	+	0.0924701i	−0.659359	+	0.751829i	$0.729172\pi$
$864$	31.6179	+	1.09490i	1.07566	+	0.0372493i
$865$	15.9658	−	17.3633i	0.542853	−	0.590369i
$866$	27.5311	+	31.0053i	0.935543	+	1.05360i
$867$	−31.1174	+	8.33788i	−1.05680	+	0.283169i
$868$	−12.3357	−	4.93227i	−0.418702	−	0.167412i
$869$	24.0439	+	41.6452i	0.815633	+	1.41272i
$870$	−10.7287	−	3.07554i	−0.363738	−	0.104271i
$871$	−30.1752	+	8.40613i	−1.02245	+	0.284831i
$872$	6.82589	+	1.22694i	0.231154	+	0.0415494i
$873$	−1.38431	−	0.370925i	−0.0468518	−	0.0125539i
$874$	−17.1907	+	51.6871i	−0.581483	+	1.74834i
$875$	−29.0459	+	11.8552i	−0.981931	+	0.400778i
$876$	−0.398110	+	3.34197i	−0.0134509	+	0.112915i
$877$	22.3915	−	5.99977i	0.756106	−	0.202598i	0.139881	−	0.990168i	$-0.455328\pi$
$877$	22.3915	−	5.99977i	0.756106	−	0.202598i	0.616225	+	0.787570i	$0.288661\pi$
$878$	13.9913	−	21.2216i	0.472184	−	0.716196i
$879$			0.802974i			0.0270836i
$880$	−6.13632	+	31.0315i	−0.206855	+	1.04607i
$881$	−22.4080	−	38.8118i	−0.754946	−	1.30760i	−0.945401	−	0.325908i	$-0.894330\pi$
$881$	−22.4080	−	38.8118i	−0.754946	−	1.30760i	0.190456	−	0.981696i	$-0.439003\pi$
$882$	−0.355353	−	0.709520i	−0.0119654	−	0.0238908i
$883$	−4.57265	+	4.57265i	−0.153882	+	0.153882i	−0.779849	−	0.625967i	$-0.784704\pi$
$883$	−4.57265	+	4.57265i	−0.153882	+	0.153882i	0.625967	+	0.779849i	$0.284704\pi$
$884$	−43.9207	+	6.77835i	−1.47721	+	0.227981i
$885$	15.5615	+	3.47812i	0.523093	+	0.116916i
$886$	44.8036	+	14.9013i	1.50521	+	0.500618i
$887$	−4.37960	+	16.3449i	−0.147053	+	0.548808i	0.852603	+	0.522560i	$0.175023\pi$
$887$	−4.37960	+	16.3449i	−0.147053	+	0.548808i	−0.999655	+	0.0262485i	$0.991644\pi$
$888$	7.68469	−	9.09682i	0.257881	−	0.305269i
$889$	−15.9615			−0.535332
$890$	−0.332490	+	19.1313i	−0.0111451	+	0.641284i
$891$	11.7783	−	20.4006i	0.394588	−	0.683447i
$892$	−14.3218	−	18.1954i	−0.479529	−	0.609227i
$893$	−6.17016	+	1.65329i	−0.206477	+	0.0553252i
$894$	−27.2285	−	9.05596i	−0.910658	−	0.302877i
$895$	4.17556	+	2.18284i	0.139573	+	0.0729641i
$896$	29.5932	−	11.4923i	0.988639	−	0.383932i
$897$	−45.8276	+	0.453255i	−1.53014	+	0.0151338i
$898$	20.4350	+	1.21287i	0.681923	+	0.0404739i
$899$	−4.71226	+	2.72062i	−0.157163	+	0.0907379i
$900$	0.223167	−	6.41854i	0.00743891	−	0.213951i
$901$	31.4574	−	54.4858i	1.04800	−	1.81519i
$902$	3.58375	−	60.3808i	0.119326	−	2.01046i
$903$	−3.16489	+	0.848029i	−0.105321	+	0.0282206i
$904$	56.5139	−	4.75555i	1.87963	−	0.158167i
$905$	−9.31137	+	5.90940i	−0.309520	+	0.196435i
$906$	−3.51154	−	17.1018i	−0.116663	−	0.568170i
$907$	−8.73798	+	32.6106i	−0.290140	+	1.08282i	0.654861	+	0.755749i	$0.272727\pi$
$907$	−8.73798	+	32.6106i	−0.290140	+	1.08282i	−0.945001	+	0.327067i	$0.893940\pi$
$908$	22.6157	+	9.04257i	0.750527	+	0.300088i
$909$			2.13251i			0.0707309i
$910$	8.04889	+	30.9644i	0.266818	+	1.02646i
$911$		−	20.9785i		−	0.695048i	−0.937671	−	0.347524i	$-0.887023\pi$
$911$		−	20.9785i		−	0.695048i	0.937671	−	0.347524i	$-0.112977\pi$
$912$	13.6742	−	25.0942i	0.452798	−	0.830951i
$913$	−8.52980	+	31.8337i	−0.282295	+	1.05354i
$914$	7.00029	−	1.43738i	0.231549	−	0.0475443i
$915$	2.25168	−	10.0743i	0.0744382	−	0.333045i
$916$	12.7520	−	17.0500i	0.421337	−	0.563349i
$917$	16.5198	−	4.42647i	0.545533	−	0.146175i
$918$	−48.6574	−	2.88793i	−1.60593	−	0.0953161i
$919$	7.28622	−	12.6201i	0.240350	−	0.416299i	−0.720464	−	0.693492i	$-0.756071\pi$
$919$	7.28622	−	12.6201i	0.240350	−	0.416299i	0.960814	+	0.277194i	$0.0894044\pi$
$920$	51.9408	−	6.57179i	1.71244	−	0.216666i
$921$	−20.9673	+	12.1055i	−0.690896	+	0.398889i
$922$	0.591752	−	9.97013i	0.0194883	−	0.328349i
$923$	0.0237542	+	2.40174i	0.000781880	+	0.0790542i
$924$	3.60493	−	30.2618i	0.118593	−	0.995541i
$925$	−10.4716	−	8.84858i	−0.344305	−	0.290939i
$926$	−3.07300	+	9.23958i	−0.100985	+	0.303631i
$927$	−1.17728	+	0.315451i	−0.0386669	+	0.0103608i
$928$	3.79791	−	12.4354i	0.124672	−	0.408210i
$929$	0.785255	−	1.36010i	0.0257634	−	0.0446235i	−0.852856	−	0.522146i	$-0.825132\pi$
$929$	0.785255	−	1.36010i	0.0257634	−	0.0446235i	0.878620	+	0.477522i	$0.158465\pi$
$930$	7.98556	+	8.26804i	0.261857	+	0.271120i
$931$	−4.06512			−0.133229
$932$	−53.4553	+	7.70939i	−1.75099	+	0.252529i
$933$	6.89588	−	25.7358i	0.225761	−	0.842552i
$934$	−3.32775	+	10.0055i	−0.108887	+	0.327391i
$935$	10.6306	−	47.5625i	0.347658	−	1.55546i
$936$	−6.45744	−	1.09490i	−0.211068	−	0.0357879i
$937$	0.987664	−	0.987664i	0.0322656	−	0.0322656i	−0.690790	−	0.723056i	$-0.742737\pi$
$937$	0.987664	−	0.987664i	0.0322656	−	0.0322656i	0.723056	+	0.690790i	$0.242737\pi$
$938$	−30.8256	+	15.4386i	−1.00649	+	0.504087i
$939$	−2.42416	−	4.19877i	−0.0791096	−	0.137022i
$940$	3.99617	+	4.66115i	0.130341	+	0.152030i
$941$			27.3404i			0.891271i	0.895214	+	0.445636i	$0.147022\pi$
$941$			27.3404i			0.891271i	−0.895214	+	0.445636i	$0.852978\pi$
$942$	−5.24584	−	3.45856i	−0.170919	−	0.112686i
$943$	−96.7013	+	25.9110i	−3.14903	+	0.843779i
$944$	−4.36389	+	18.0566i	−0.142032	+	0.587691i
$945$	1.47006	+	35.0599i	0.0478210	+	1.14050i
$946$	3.60907	+	1.20035i	0.117341	+	0.0390266i
$947$	23.5854	+	6.31970i	0.766423	+	0.205363i	0.620791	−	0.783976i	$-0.286812\pi$
$947$	23.5854	+	6.31970i	0.766423	+	0.205363i	0.145633	+	0.989339i	$0.453478\pi$
$948$	−32.8119	+	25.8266i	−1.06568	+	0.838809i
$949$	0.984906	−	3.82671i	0.0319714	−	0.124220i
$950$	−28.8878	−	15.7467i	−0.937245	−	0.510889i
$951$	−2.66548	−	4.61675i	−0.0864342	−	0.149708i
$952$	−46.0172	+	16.5763i	−1.49142	+	0.537240i
$953$	1.21736	−	0.326190i	0.0394340	−	0.0105663i	−0.239048	−	0.971008i	$-0.576835\pi$
$953$	1.21736	−	0.326190i	0.0394340	−	0.0105663i	0.278482	+	0.960441i	$0.410169\pi$
$954$	6.93345	−	6.15653i	0.224479	−	0.199325i
$955$	−17.4884	+	0.733286i	−0.565910	+	0.0237286i
$956$	7.27284	+	5.43946i	0.235221	+	0.175925i
$957$	−8.82611	−	8.82611i	−0.285308	−	0.285308i
$958$	−16.5774	−	10.9294i	−0.535590	−	0.353112i
$959$	−15.7588	−	27.2950i	−0.508877	−	0.881401i
$960$	−27.4307	−	1.42749i	−0.885323	−	0.0460720i
$961$	−25.3960			−0.819225
$962$	−10.3622	+	9.38594i	−0.334089	+	0.302615i
$963$	−6.16843	+	6.16843i	−0.198775	+	0.198775i
$964$	−3.52906	+	1.51304i	−0.113663	+	0.0487318i
$965$	−0.939128	+	0.294323i	−0.0302316	+	0.00947459i
$966$	−49.4098	+	10.1454i	−1.58974	+	0.326422i
$967$	−30.7462	+	30.7462i	−0.988730	+	0.988730i	−0.999937	−	0.0112071i	$-0.996433\pi$
$967$	−30.7462	+	30.7462i	−0.988730	+	0.988730i	0.0112071	+	0.999937i	$0.496433\pi$
$968$	−2.75171	+	3.25736i	−0.0884433	+	0.104696i
$969$	−22.0151	+	38.1312i	−0.707226	+	1.22495i
$970$	6.78332	+	1.94453i	0.217799	+	0.0624351i
$971$	−31.9299	−	18.4348i	−1.02468	−	0.591599i	−0.109224	−	0.994017i	$-0.534837\pi$
$971$	−31.9299	−	18.4348i	−1.02468	−	0.591599i	−0.915456	+	0.402418i	$0.868170\pi$
$972$	−12.1643	−	4.86374i	−0.390171	−	0.156005i
$973$	16.3492	+	4.38077i	0.524133	+	0.140441i
$974$	1.51292	−	1.34339i	0.0484771	−	0.0430450i
$975$	4.63135	−	27.2914i	0.148322	−	0.874025i
$976$	11.6895	+	2.82511i	0.374173	+	0.0904297i
$977$	10.9251	−	40.7730i	0.349525	−	1.30444i	−0.537712	−	0.843129i	$-0.680711\pi$
$977$	10.9251	−	40.7730i	0.349525	−	1.30444i	0.887236	−	0.461315i	$-0.152622\pi$
$978$	11.2609	+	22.4841i	0.360082	+	0.718963i
$979$	−10.6996	+	18.5322i	−0.341961	+	0.592293i
$980$	1.68872	+	3.52342i	0.0539442	+	0.112552i
$981$	−1.36379	−	0.787386i	−0.0435426	−	0.0251393i
$982$	5.49975	+	3.62595i	0.175504	+	0.115709i
$983$	31.0048	+	31.0048i	0.988901	+	0.988901i	0.999939	−	0.0110383i	$-0.00351367\pi$
$983$	31.0048	+	31.0048i	0.988901	+	0.988901i	−0.0110383	+	0.999939i	$0.503514\pi$
$984$	52.3388	−	4.40422i	1.66850	−	0.140401i
$985$	−7.87341	−	25.1225i	−0.250868	−	0.800471i
$986$	−6.32223	+	19.0090i	−0.201341	+	0.605371i
$987$	−4.18268	−	4.18268i	−0.133136	−	0.133136i
$988$	−19.8288	+	27.0662i	−0.630839	+	0.861091i
$989$		−	6.29511i		−	0.200173i
$990$	3.69888	−	6.15702i	0.117558	−	0.195683i
$991$	10.5380	−	6.08414i	0.334752	−	0.193269i	−0.323197	−	0.946332i	$-0.604758\pi$
$991$	10.5380	−	6.08414i	0.334752	−	0.193269i	0.657949	+	0.753063i	$0.271424\pi$
$992$	−9.79118	+	9.13575i	−0.310870	+	0.290060i
$993$	−5.08945	+	5.08945i	−0.161509	+	0.161509i
$994$	0.531700	+	2.58947i	0.0168645	+	0.0821331i
$995$	0.407301	+	9.71385i	0.0129123	+	0.307950i
$996$	−28.4169	−	3.38515i	−0.900423	−	0.107262i
$997$	−6.02873	−	22.4995i	−0.190932	−	0.712567i	−0.993283	−	0.115714i	$-0.963084\pi$
$997$	−6.02873	−	22.4995i	−0.190932	−	0.712567i	0.802351	−	0.596853i	$-0.203582\pi$
$998$	−31.5549	+	15.8038i	−0.998851	+	0.500260i
$999$	−13.2801	+	7.66729i	−0.420165	+	0.242582i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.bg.c.23.13	✓	144
4.3	odd	2	inner	260.2.bg.c.23.30	yes	144
5.2	odd	4	inner	260.2.bg.c.127.33	yes	144
13.4	even	6	inner	260.2.bg.c.43.27	yes	144
20.7	even	4	inner	260.2.bg.c.127.27	yes	144
52.43	odd	6	inner	260.2.bg.c.43.33	yes	144
65.17	odd	12	inner	260.2.bg.c.147.30	yes	144
260.147	even	12	inner	260.2.bg.c.147.13	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.bg.c.23.13	✓	144	1.1	even	1	trivial
260.2.bg.c.23.30	yes	144	4.3	odd	2	inner
260.2.bg.c.43.27	yes	144	13.4	even	6	inner
260.2.bg.c.43.33	yes	144	52.43	odd	6	inner
260.2.bg.c.127.27	yes	144	20.7	even	4	inner
260.2.bg.c.127.33	yes	144	5.2	odd	4	inner
260.2.bg.c.147.13	yes	144	260.147	even	12	inner
260.2.bg.c.147.30	yes	144	65.17	odd	12	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	260.bg (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.633301 - 1.26449i) q^{2} +(1.48318 + 0.397416i) q^{3} +(-1.19786 + 1.60160i) q^{4} +(-1.88795 + 1.19818i) q^{5} +(-0.436769 - 2.12715i) q^{6} +(0.726248 + 2.71040i) q^{7} +(2.78381 + 0.500385i) q^{8} +(-0.556198 - 0.321121i) q^{9} +O(q^{10})\)	\(q+(-0.633301 - 1.26449i) q^{2} +(1.48318 + 0.397416i) q^{3} +(-1.19786 + 1.60160i) q^{4} +(-1.88795 + 1.19818i) q^{5} +(-0.436769 - 2.12715i) q^{6} +(0.726248 + 2.71040i) q^{7} +(2.78381 + 0.500385i) q^{8} +(-0.556198 - 0.321121i) q^{9} +(2.71072 + 1.62849i) q^{10} +(1.76830 + 3.06279i) q^{11} +(-2.41314 + 1.89941i) q^{12} +(3.10452 - 1.83357i) q^{13} +(2.96733 - 2.63483i) q^{14} +(-3.27635 + 1.02681i) q^{15} +(-1.13026 - 3.83699i) q^{16} +(1.59505 + 5.95282i) q^{17} +(-0.0538132 + 0.906671i) q^{18} +(4.02951 + 2.32644i) q^{19} +(0.342501 - 4.45900i) q^{20} +4.30862i q^{21} +(2.75299 - 4.17566i) q^{22} +(-7.99597 - 2.14251i) q^{23} +(3.93003 + 1.84849i) q^{24} +(2.12874 - 4.52421i) q^{25} +(-4.28462 - 2.76442i) q^{26} +(-3.95461 - 3.95461i) q^{27} +(-5.21092 - 2.08351i) q^{28} +(-1.99058 + 1.14926i) q^{29} +(3.37330 + 3.49263i) q^{30} +2.36728 q^{31} +(-4.13604 + 3.85917i) q^{32} +(1.40551 + 5.24542i) q^{33} +(6.51712 - 5.78685i) q^{34} +(-4.61866 - 4.24693i) q^{35} +(1.18056 - 0.506149i) q^{36} +(0.709659 - 2.64848i) q^{37} +(0.389863 - 6.56861i) q^{38} +(5.33324 - 1.48572i) q^{39} +(-5.85526 + 2.39080i) q^{40} +(10.4735 - 6.04688i) q^{41} +(5.44820 - 2.72865i) q^{42} +(0.196821 + 0.734548i) q^{43} +(-7.02355 - 0.836678i) q^{44} +(1.43484 - 0.0601625i) q^{45} +(2.35467 + 11.4677i) q^{46} +(-0.970769 + 0.970769i) q^{47} +(-0.151493 - 6.14013i) q^{48} +(-0.756628 + 0.436839i) q^{49} +(-7.06894 + 0.173420i) q^{50} +9.46299i q^{51} +(-0.782130 + 7.16856i) q^{52} +(-7.21870 - 7.21870i) q^{53} +(-2.49610 + 7.50501i) q^{54} +(-7.00824 - 3.66366i) q^{55} +(0.665499 + 7.90864i) q^{56} +(5.05192 + 5.05192i) q^{57} +(2.71386 + 1.78923i) q^{58} +(-4.02191 - 2.32205i) q^{59} +(2.28007 - 6.47738i) q^{60} +(-1.50326 + 2.60372i) q^{61} +(-1.49920 - 2.99340i) q^{62} +(0.466427 - 1.74073i) q^{63} +(7.49923 + 2.78596i) q^{64} +(-3.66424 + 7.18146i) q^{65} +(5.74266 - 5.09917i) q^{66} +(-8.39173 - 2.24856i) q^{67} +(-11.4447 - 4.57600i) q^{68} +(-11.0080 - 6.35546i) q^{69} +(-2.44519 + 8.52982i) q^{70} +(-0.333077 + 0.576907i) q^{71} +(-1.38767 - 1.17225i) q^{72} +(0.774938 - 0.774938i) q^{73} +(-3.79840 + 0.779931i) q^{74} +(4.95529 - 5.86421i) q^{75} +(-8.55282 + 3.66692i) q^{76} +(-7.01714 + 7.01714i) q^{77} +(-5.25623 - 5.80291i) q^{78} +13.5972 q^{79} +(6.73128 + 5.88981i) q^{80} +(-3.33040 - 5.76842i) q^{81} +(-14.2791 - 9.41412i) q^{82} +(6.58933 + 6.58933i) q^{83} +(-6.90070 - 5.16113i) q^{84} +(-10.1439 - 9.32748i) q^{85} +(0.804180 - 0.714068i) q^{86} +(-3.40911 + 0.913469i) q^{87} +(3.39005 + 9.41107i) q^{88} +(3.02539 + 5.24012i) q^{89} +(-0.984757 - 1.77623i) q^{90} +(7.22435 + 7.08284i) q^{91} +(13.0095 - 10.2399i) q^{92} +(3.51111 + 0.940798i) q^{93} +(1.84231 + 0.612737i) q^{94} +(-10.3950 + 0.435862i) q^{95} +(-7.66818 + 4.08011i) q^{96} +(2.15544 - 0.577547i) q^{97} +(1.03155 + 0.680096i) q^{98} -2.27136i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 144 q - 6 q^{2} - 12 q^{6}+O(q^{10}) \) 144 * q - 6 * q^2 - 12 * q^6	\( 144 q - 6 q^{2} - 12 q^{6} + 12 q^{10} - 12 q^{12} + 4 q^{13} - 12 q^{16} - 24 q^{17} - 42 q^{20} - 12 q^{22} - 24 q^{25} - 36 q^{26} - 6 q^{28} - 36 q^{32} - 12 q^{33} - 76 q^{36} + 48 q^{37} - 16 q^{38} + 76 q^{40} - 72 q^{41} + 40 q^{42} - 120 q^{45} - 12 q^{46} - 40 q^{48} + 120 q^{50} - 10 q^{52} + 8 q^{53} - 20 q^{56} + 126 q^{58} + 16 q^{61} - 44 q^{62} + 32 q^{65} + 96 q^{66} - 64 q^{68} - 54 q^{72} - 12 q^{76} + 40 q^{77} - 100 q^{78} - 24 q^{80} - 32 q^{81} - 78 q^{82} - 24 q^{85} - 10 q^{88} - 8 q^{90} + 100 q^{92} - 48 q^{93} - 12 q^{97} - 162 q^{98}+O(q^{100}) \) 144 * q - 6 * q^2 - 12 * q^6 + 12 * q^10 - 12 * q^12 + 4 * q^13 - 12 * q^16 - 24 * q^17 - 42 * q^20 - 12 * q^22 - 24 * q^25 - 36 * q^26 - 6 * q^28 - 36 * q^32 - 12 * q^33 - 76 * q^36 + 48 * q^37 - 16 * q^38 + 76 * q^40 - 72 * q^41 + 40 * q^42 - 120 * q^45 - 12 * q^46 - 40 * q^48 + 120 * q^50 - 10 * q^52 + 8 * q^53 - 20 * q^56 + 126 * q^58 + 16 * q^61 - 44 * q^62 + 32 * q^65 + 96 * q^66 - 64 * q^68 - 54 * q^72 - 12 * q^76 + 40 * q^77 - 100 * q^78 - 24 * q^80 - 32 * q^81 - 78 * q^82 - 24 * q^85 - 10 * q^88 - 8 * q^90 + 100 * q^92 - 48 * q^93 - 12 * q^97 - 162 * q^98

Introduction

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