LMFDB - Embedded newform 429.2.bj.b.73.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [429,2,Mod(73,429)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(429, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 14, 5]))

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

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

chi := DirichletCharacter("429.73");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 429 = 3 \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	429.bj (of order $20$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.42558224671$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$14$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			73.2
Character	$\chi$	$=$	429.73
Dual form			429.2.bj.b.382.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.34881 + 0.372015i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(3.47641 - 1.12955i) q^{4} +(3.36131 + 0.532379i) q^{5} +(0.372015 - 2.34881i) q^{6} +(-2.10675 + 4.13473i) q^{7} +(-3.50742 + 1.78712i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})$	\(q+(-2.34881 + 0.372015i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(3.47641 - 1.12955i) q^{4} +(3.36131 + 0.532379i) q^{5} +(0.372015 - 2.34881i) q^{6} +(-2.10675 + 4.13473i) q^{7} +(-3.50742 + 1.78712i) q^{8} +(-0.809017 - 0.587785i) q^{9} -8.09314 q^{10} +(-3.30424 - 0.286370i) q^{11} +3.65531i q^{12} +(1.67116 + 3.19487i) q^{13} +(3.41017 - 10.4954i) q^{14} +(-1.54503 + 3.03228i) q^{15} +(1.65902 - 1.20535i) q^{16} +(3.45885 - 2.51300i) q^{17} +(2.11889 + 1.07963i) q^{18} +(1.41838 + 2.78372i) q^{19} +(12.2866 - 1.94601i) q^{20} +(-3.28134 - 3.28134i) q^{21} +(7.86757 - 0.556597i) q^{22} -1.76057i q^{23} +(-0.615800 - 3.88801i) q^{24} +(6.25970 + 2.03390i) q^{25} +(-5.11378 - 6.88246i) q^{26} +(0.809017 - 0.587785i) q^{27} +(-2.65352 + 16.7537i) q^{28} +(-6.57749 + 2.13716i) q^{29} +(2.50092 - 7.69703i) q^{30} +(0.0322449 + 0.203586i) q^{31} +(2.11869 - 2.11869i) q^{32} +(1.29342 - 3.05402i) q^{33} +(-7.18931 + 7.18931i) q^{34} +(-9.28268 + 12.7765i) q^{35} +(-3.47641 - 1.12955i) q^{36} +(-0.0383882 - 0.0195598i) q^{37} +(-4.36709 - 6.01078i) q^{38} +(-3.55492 + 0.602097i) q^{39} +(-12.7410 + 4.13979i) q^{40} +(-0.807763 - 1.58532i) q^{41} +(8.92795 + 6.48654i) q^{42} -8.84725 q^{43} +(-11.8103 + 2.73677i) q^{44} +(-2.40643 - 2.40643i) q^{45} +(0.654959 + 4.13525i) q^{46} +(3.66785 + 7.19856i) q^{47} +(0.633690 + 1.95030i) q^{48} +(-8.54308 - 11.7585i) q^{49} +(-15.4595 - 2.44854i) q^{50} +(1.32116 + 4.06612i) q^{51} +(9.41841 + 9.21902i) q^{52} +(4.58071 + 3.32808i) q^{53} +(-1.68156 + 1.68156i) q^{54} +(-10.9541 - 2.72169i) q^{55} -18.2673i q^{56} +(-3.08578 + 0.488739i) q^{57} +(14.6542 - 7.46670i) q^{58} +(-9.42827 - 4.80394i) q^{59} +(-1.94601 + 12.2866i) q^{60} +(-1.40278 - 1.93076i) q^{61} +(-0.151474 - 0.466190i) q^{62} +(4.13473 - 2.10675i) q^{63} +(-6.59892 + 9.08263i) q^{64} +(3.91640 + 11.6287i) q^{65} +(-1.90186 + 7.65450i) q^{66} +(10.3428 + 10.3428i) q^{67} +(9.18580 - 12.6432i) q^{68} +(1.67440 + 0.544047i) q^{69} +(17.0502 - 33.4629i) q^{70} +(1.63052 + 0.258249i) q^{71} +(3.88801 + 0.615800i) q^{72} +(-4.86575 + 9.54957i) q^{73} +(0.0974433 + 0.0316612i) q^{74} +(-3.86871 + 5.32482i) q^{75} +(8.07521 + 8.07521i) q^{76} +(8.14526 - 13.0588i) q^{77} +(8.12585 - 2.73670i) q^{78} +(4.86815 - 6.70043i) q^{79} +(6.21819 - 3.16833i) q^{80} +(0.309017 + 0.951057i) q^{81} +(2.48705 + 3.42313i) q^{82} +(-0.644012 + 4.06613i) q^{83} +(-15.1137 - 7.70082i) q^{84} +(12.9641 - 6.60556i) q^{85} +(20.7805 - 3.29131i) q^{86} -6.91598i q^{87} +(12.1011 - 4.90065i) q^{88} +(-2.16834 + 2.16834i) q^{89} +(6.54749 + 4.75703i) q^{90} +(-16.7307 + 0.178994i) q^{91} +(-1.98866 - 6.12046i) q^{92} +(-0.203586 - 0.0322449i) q^{93} +(-11.2931 - 15.5436i) q^{94} +(3.28561 + 10.1121i) q^{95} +(1.36028 + 2.66971i) q^{96} +(-0.118656 - 0.749162i) q^{97} +(24.4404 + 24.4404i) q^{98} +(2.50486 + 2.17386i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9}+O(q^{10}) $ 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9	$ 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9} - 14 q^{11} + 10 q^{13} + 12 q^{14} + 4 q^{15} - 48 q^{16} - 2 q^{20} + 32 q^{22} + 30 q^{24} - 46 q^{26} + 28 q^{27} - 20 q^{29} - 24 q^{31} - 16 q^{33} - 16 q^{34} - 20 q^{35} + 12 q^{37} + 10 q^{39} - 40 q^{40} - 10 q^{41} + 28 q^{42} + 24 q^{44} - 4 q^{45} - 20 q^{46} - 62 q^{47} - 92 q^{48} - 90 q^{50} + 110 q^{52} + 68 q^{53} + 32 q^{55} - 30 q^{57} - 56 q^{58} + 16 q^{59} + 2 q^{60} + 20 q^{61} + 8 q^{66} + 12 q^{67} + 60 q^{68} - 196 q^{70} - 52 q^{71} + 30 q^{72} - 10 q^{73} - 120 q^{74} - 84 q^{78} + 40 q^{79} - 56 q^{80} - 28 q^{81} + 110 q^{83} - 30 q^{84} - 40 q^{85} + 18 q^{86} - 96 q^{89} - 44 q^{91} + 80 q^{92} + 24 q^{93} - 20 q^{94} + 100 q^{96} + 18 q^{97} + 6 q^{99}+O(q^{100}) $ 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9 - 14 * q^11 + 10 * q^13 + 12 * q^14 + 4 * q^15 - 48 * q^16 - 2 * q^20 + 32 * q^22 + 30 * q^24 - 46 * q^26 + 28 * q^27 - 20 * q^29 - 24 * q^31 - 16 * q^33 - 16 * q^34 - 20 * q^35 + 12 * q^37 + 10 * q^39 - 40 * q^40 - 10 * q^41 + 28 * q^42 + 24 * q^44 - 4 * q^45 - 20 * q^46 - 62 * q^47 - 92 * q^48 - 90 * q^50 + 110 * q^52 + 68 * q^53 + 32 * q^55 - 30 * q^57 - 56 * q^58 + 16 * q^59 + 2 * q^60 + 20 * q^61 + 8 * q^66 + 12 * q^67 + 60 * q^68 - 196 * q^70 - 52 * q^71 + 30 * q^72 - 10 * q^73 - 120 * q^74 - 84 * q^78 + 40 * q^79 - 56 * q^80 - 28 * q^81 + 110 * q^83 - 30 * q^84 - 40 * q^85 + 18 * q^86 - 96 * q^89 - 44 * q^91 + 80 * q^92 + 24 * q^93 - 20 * q^94 + 100 * q^96 + 18 * q^97 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/429\mathbb{Z}\right)^\times$.

$n$	$67$	$79$	$287$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{7}{10}\right)$	$1$

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 $

$2$	−2.34881	+	0.372015i	−1.66086	+	0.263054i	−0.915120	−	0.403182i	$-0.867904\pi$
$2$	−2.34881	+	0.372015i	−1.66086	+	0.263054i	−0.745740	+	0.666237i	$0.767904\pi$
$3$	−0.309017	+	0.951057i	−0.178411	+	0.549093i
$3$	−0.309017	+	0.951057i	−0.178411	+	0.549093i
$4$	3.47641	−	1.12955i	1.73820	−	0.564776i
$5$	3.36131	+	0.532379i	1.50322	+	0.238087i	0.853103	−	0.521743i	$-0.174718\pi$
$5$	3.36131	+	0.532379i	1.50322	+	0.238087i	0.650121	+	0.759830i	$0.274718\pi$
$6$	0.372015	−	2.34881i	0.151875	−	0.958898i
$7$	−2.10675	+	4.13473i	−0.796276	+	1.56278i	0.0300233	+	0.999549i	$0.490442\pi$
$7$	−2.10675	+	4.13473i	−0.796276	+	1.56278i	−0.826300	+	0.563231i	$0.809558\pi$
$8$	−3.50742	+	1.78712i	−1.24006	+	0.631843i
$9$	−0.809017	−	0.587785i	−0.269672	−	0.195928i
$10$	−8.09314			−2.55927
$11$	−3.30424	−	0.286370i	−0.996265	−	0.0863439i
$11$	−3.30424	−	0.286370i	−0.996265	−	0.0863439i
$12$			3.65531i			1.05520i
$13$	1.67116	+	3.19487i	0.463496	+	0.886099i
$13$	1.67116	+	3.19487i	0.463496	+	0.886099i
$14$	3.41017	−	10.4954i	0.911407	−	2.80502i
$15$	−1.54503	+	3.03228i	−0.398924	+	0.782932i
$16$	1.65902	−	1.20535i	0.414756	−	0.301338i
$17$	3.45885	−	2.51300i	0.838894	−	0.609492i	−0.0831673	−	0.996536i	$-0.526504\pi$
$17$	3.45885	−	2.51300i	0.838894	−	0.609492i	0.922062	+	0.387043i	$0.126504\pi$
$18$	2.11889	+	1.07963i	0.499428	+	0.254471i
$19$	1.41838	+	2.78372i	0.325398	+	0.638629i	0.994523	−	0.104521i	$-0.0333308\pi$
$19$	1.41838	+	2.78372i	0.325398	+	0.638629i	−0.669125	+	0.743150i	$0.733331\pi$
$20$	12.2866	−	1.94601i	2.74737	−	0.435141i
$21$	−3.28134	−	3.28134i	−0.716047	−	0.716047i
$22$	7.86757	−	0.556597i	1.67737	−	0.118667i
$23$		−	1.76057i		−	0.367105i	−0.983010	−	0.183552i	$-0.941240\pi$
$23$		−	1.76057i		−	0.367105i	0.983010	−	0.183552i	$-0.0587597\pi$
$24$	−0.615800	−	3.88801i	−0.125700	−	0.793636i
$25$	6.25970	+	2.03390i	1.25194	+	0.406780i
$26$	−5.11378	−	6.88246i	−1.00290	−	1.34976i
$27$	0.809017	−	0.587785i	0.155695	−	0.113119i
$28$	−2.65352	+	16.7537i	−0.501468	+	3.16615i
$29$	−6.57749	+	2.13716i	−1.22141	+	0.396860i	−0.847595	−	0.530644i	$-0.821950\pi$
$29$	−6.57749	+	2.13716i	−1.22141	+	0.396860i	−0.373814	+	0.927504i	$0.621950\pi$
$30$	2.50092	−	7.69703i	0.456603	−	1.40528i
$31$	0.0322449	+	0.203586i	0.00579136	+	0.0365652i	0.990415	−	0.138125i	$-0.0441076\pi$
$31$	0.0322449	+	0.203586i	0.00579136	+	0.0365652i	−0.984623	+	0.174690i	$0.944108\pi$
$32$	2.11869	−	2.11869i	0.374535	−	0.374535i
$33$	1.29342	−	3.05402i	0.225156	−	0.531637i
$34$	−7.18931	+	7.18931i	−1.23296	+	1.23296i
$35$	−9.28268	+	12.7765i	−1.56906	+	2.15963i
$36$	−3.47641	−	1.12955i	−0.579401	−	0.188259i
$37$	−0.0383882	−	0.0195598i	−0.00631099	−	0.00321561i	0.450832	−	0.892609i	$-0.351127\pi$
$37$	−0.0383882	−	0.0195598i	−0.00631099	−	0.00321561i	−0.457143	+	0.889393i	$0.651127\pi$
$38$	−4.36709	−	6.01078i	−0.708435	−	0.975077i
$39$	−3.55492	+	0.602097i	−0.569243	+	0.0964127i
$40$	−12.7410	+	4.13979i	−2.01452	+	0.654558i
$41$	−0.807763	−	1.58532i	−0.126151	−	0.247586i	0.819289	−	0.573380i	$-0.194368\pi$
$41$	−0.807763	−	1.58532i	−0.126151	−	0.247586i	−0.945441	+	0.325794i	$0.894368\pi$
$42$	8.92795	+	6.48654i	1.37761	+	1.00089i
$43$	−8.84725			−1.34919			−0.674596	−	0.738187i	$-0.735682\pi$
$43$	−8.84725			−1.34919			−0.674596	+	0.738187i	$0.735682\pi$
$44$	−11.8103	+	2.73677i	−1.78048	+	0.412584i
$45$	−2.40643	−	2.40643i	−0.358730	−	0.358730i
$46$	0.654959	+	4.13525i	0.0965685	+	0.609710i
$47$	3.66785	+	7.19856i	0.535011	+	1.05002i	0.987407	+	0.158201i	$0.0505695\pi$
$47$	3.66785	+	7.19856i	0.535011	+	1.05002i	−0.452396	+	0.891817i	$0.649431\pi$
$48$	0.633690	+	1.95030i	0.0914653	+	0.281501i
$49$	−8.54308	−	11.7585i	−1.22044	−	1.67979i
$50$	−15.4595	−	2.44854i	−2.18630	−	0.346276i
$51$	1.32116	+	4.06612i	0.185000	+	0.569371i
$52$	9.41841	+	9.21902i	1.30610	+	1.27845i
$53$	4.58071	+	3.32808i	0.629209	+	0.457147i	0.856126	−	0.516767i	$-0.172865\pi$
$53$	4.58071	+	3.32808i	0.629209	+	0.457147i	−0.226917	+	0.973914i	$0.572865\pi$
$54$	−1.68156	+	1.68156i	−0.228832	+	0.228832i
$55$	−10.9541	−	2.72169i	−1.47705	−	0.366992i
$56$		−	18.2673i		−	2.44106i
$57$	−3.08578	+	0.488739i	−0.408721	+	0.0647351i
$58$	14.6542	−	7.46670i	1.92419	−	0.980426i
$59$	−9.42827	−	4.80394i	−1.22746	−	0.625420i	−0.284608	−	0.958644i	$-0.591864\pi$
$59$	−9.42827	−	4.80394i	−1.22746	−	0.625420i	−0.942848	+	0.333224i	$0.891864\pi$
$60$	−1.94601	+	12.2866i	−0.251229	+	1.58620i
$61$	−1.40278	−	1.93076i	−0.179608	−	0.247209i	0.709715	−	0.704489i	$-0.248824\pi$
$61$	−1.40278	−	1.93076i	−0.179608	−	0.247209i	−0.889323	+	0.457280i	$0.848824\pi$
$62$	−0.151474	−	0.466190i	−0.0192373	−	0.0592062i
$63$	4.13473	−	2.10675i	0.520927	−	0.265425i
$64$	−6.59892	+	9.08263i	−0.824865	+	1.13533i
$65$	3.91640	+	11.6287i	0.485770	+	1.44236i
$66$	−1.90186	+	7.65450i	−0.234102	+	0.942204i
$67$	10.3428	+	10.3428i	1.26357	+	1.26357i	0.949350	+	0.314222i	$0.101744\pi$
$67$	10.3428	+	10.3428i	1.26357	+	1.26357i	0.314222	+	0.949350i	$0.398256\pi$
$68$	9.18580	−	12.6432i	1.11394	−	1.53321i
$69$	1.67440	+	0.544047i	0.201575	+	0.0654955i
$70$	17.0502	−	33.4629i	2.03789	−	3.99958i
$71$	1.63052	+	0.258249i	0.193507	+	0.0306485i	0.252435	−	0.967614i	$-0.418768\pi$
$71$	1.63052	+	0.258249i	0.193507	+	0.0306485i	−0.0589287	+	0.998262i	$0.518768\pi$
$72$	3.88801	+	0.615800i	0.458206	+	0.0725727i
$73$	−4.86575	+	9.54957i	−0.569493	+	1.11769i	0.409216	+	0.912438i	$0.365802\pi$
$73$	−4.86575	+	9.54957i	−0.569493	+	1.11769i	−0.978709	+	0.205255i	$0.934198\pi$
$74$	0.0974433	+	0.0316612i	0.0113275	+	0.00368054i
$75$	−3.86871	+	5.32482i	−0.446720	+	0.614857i
$76$	8.07521	+	8.07521i	0.926290	+	0.926290i
$77$	8.14526	−	13.0588i	0.928239	−	1.48819i
$78$	8.12585	−	2.73670i	0.920072	−	0.309870i
$79$	4.86815	−	6.70043i	0.547709	−	0.753857i	−0.441990	−	0.897020i	$-0.645727\pi$
$79$	4.86815	−	6.70043i	0.547709	−	0.753857i	0.989699	+	0.143163i	$0.0457273\pi$
$80$	6.21819	−	3.16833i	0.695215	−	0.354230i
$81$	0.309017	+	0.951057i	0.0343352	+	0.105673i
$82$	2.48705	+	3.42313i	0.274648	+	0.378021i
$83$	−0.644012	+	4.06613i	−0.0706895	+	0.446316i	0.926803	+	0.375547i	$0.122545\pi$
$83$	−0.644012	+	4.06613i	−0.0706895	+	0.446316i	−0.997493	+	0.0707685i	$0.977455\pi$
$84$	−15.1137	−	7.70082i	−1.64904	−	0.840228i
$85$	12.9641	−	6.60556i	1.40616	−	0.716473i
$86$	20.7805	−	3.29131i	2.24082	−	0.354911i
$87$		−	6.91598i		−	0.741471i
$88$	12.1011	−	4.90065i	1.28999	−	0.522411i
$89$	−2.16834	+	2.16834i	−0.229844	+	0.229844i	−0.812627	−	0.582784i	$-0.801964\pi$
$89$	−2.16834	+	2.16834i	−0.229844	+	0.229844i	0.582784	+	0.812627i	$0.301964\pi$
$90$	6.54749	+	4.75703i	0.690166	+	0.501435i
$91$	−16.7307	+	0.178994i	−1.75385	+	0.0187636i
$92$	−1.98866	−	6.12046i	−0.207332	−	0.638102i
$93$	−0.203586	−	0.0322449i	−0.0211109	−	0.00334364i
$94$	−11.2931	−	15.5436i	−1.16479	−	1.60320i
$95$	3.28561	+	10.1121i	0.337096	+	1.03748i
$96$	1.36028	+	2.66971i	0.138833	+	0.272476i
$97$	−0.118656	−	0.749162i	−0.0120477	−	0.0760659i	0.980932	−	0.194351i	$-0.0622602\pi$
$97$	−0.118656	−	0.749162i	−0.0120477	−	0.0760659i	−0.992980	+	0.118286i	$0.962260\pi$
$98$	24.4404	+	24.4404i	2.46886	+	2.46886i
$99$	2.50486	+	2.17386i	0.251748	+	0.218481i
$100$	24.0587			2.40587
$101$	9.43277	+	6.85331i	0.938595	+	0.681929i	0.948082	−	0.318026i	$-0.103020\pi$
$101$	9.43277	+	6.85331i	0.938595	+	0.681929i	−0.00948675	+	0.999955i	$0.503020\pi$
$102$	−4.61582	−	9.05906i	−0.457034	−	0.896980i
$103$	−8.50947	+	2.76489i	−0.838463	+	0.272433i	−0.696606	−	0.717454i	$-0.745307\pi$
$103$	−8.50947	+	2.76489i	−0.838463	+	0.272433i	−0.141857	+	0.989887i	$0.545307\pi$
$104$	−11.5711	−	8.21921i	−1.13464	−	0.805960i
$105$	−9.28268	−	12.7765i	−0.905897	−	1.24686i
$106$	−11.9973	−	6.11294i	−1.16528	−	0.593741i
$107$	−11.2966	−	3.67049i	−1.09209	−	0.354840i	−0.293033	−	0.956102i	$-0.594665\pi$
$107$	−11.2966	−	3.67049i	−1.09209	−	0.354840i	−0.799052	+	0.601262i	$0.794665\pi$
$108$	2.14854	−	2.95721i	0.206743	−	0.284557i
$109$	6.68775	−	6.68775i	0.640570	−	0.640570i	−0.310125	−	0.950696i	$-0.600371\pi$
$109$	6.68775	−	6.68775i	0.640570	−	0.640570i	0.950696	+	0.310125i	$0.100371\pi$
$110$	26.7417	+	2.31763i	2.54972	+	0.220978i
$111$	0.0304651	−	0.0304651i	0.00289162	−	0.00289162i
$112$	1.48865	+	9.39898i	0.140664	+	0.888120i
$113$	2.04579	−	6.29631i	0.192452	−	0.592307i	−0.807545	−	0.589806i	$-0.799204\pi$
$113$	2.04579	−	6.29631i	0.192452	−	0.592307i	0.999997	−	0.00250056i	$-0.000795955\pi$
$114$	7.06609	−	2.29591i	0.661800	−	0.215032i
$115$	0.937292	−	5.91783i	0.0874030	−	0.551841i
$116$	−20.4520	+	14.8592i	−1.89892	+	1.37965i
$117$	0.525903	−	3.56699i	0.0486198	−	0.329768i
$118$	23.9324	+	7.77610i	2.20315	+	0.715848i
$119$	3.10365	+	19.5957i	0.284511	+	1.79633i
$120$		−	13.3966i		−	1.22294i
$121$	10.8360	+	1.89247i	0.985089	+	0.172043i
$122$	4.01314	+	4.01314i	0.363333	+	0.363333i
$123$	1.75734	−	0.278336i	0.158454	−	0.0250967i
$124$	0.342058	+	0.671326i	0.0307177	+	0.0602869i
$125$	4.79658	+	2.44398i	0.429020	+	0.218596i
$126$	−8.92795	+	6.48654i	−0.795365	+	0.577867i
$127$	12.5554	−	9.12205i	1.11411	−	0.809451i	0.130808	−	0.991408i	$-0.458243\pi$
$127$	12.5554	−	9.12205i	1.11411	−	0.809451i	0.983307	+	0.181956i	$0.0582429\pi$
$128$	9.40017	−	18.4489i	0.830866	−	1.63067i
$129$	2.73395	−	8.41423i	0.240711	−	0.740832i
$130$	−13.5249	−	25.8566i	−1.18621	−	2.26777i
$131$		−	9.95158i		−	0.869474i	−0.900558	−	0.434737i	$-0.856841\pi$
$131$		−	9.95158i		−	0.869474i	0.900558	−	0.434737i	$-0.143159\pi$
$132$	1.04677	−	12.0780i	0.0911098	−	1.05126i
$133$	−14.4981			−1.25714
$134$	−28.1409	−	20.4456i	−2.43100	−	1.76623i
$135$	3.03228	−	1.54503i	0.260977	−	0.132975i
$136$	−7.64061	+	14.9955i	−0.655177	+	1.28586i
$137$	−0.534455	+	3.37442i	−0.0456616	+	0.288296i	−0.999944	−	0.0106116i	$-0.996622\pi$
$137$	−0.534455	+	3.37442i	−0.0456616	+	0.288296i	0.954282	+	0.298907i	$0.0966222\pi$
$138$	−4.13525	−	0.654959i	−0.352016	−	0.0557539i
$139$	9.04639	−	2.93935i	0.767305	−	0.249313i	0.100894	−	0.994897i	$-0.467830\pi$
$139$	9.04639	−	2.93935i	0.767305	−	0.249313i	0.666411	+	0.745585i	$0.267830\pi$
$140$	−17.8386	+	54.9016i	−1.50764	+	4.64003i
$141$	−7.97967	+	1.26386i	−0.672009	+	0.106436i
$142$	−3.92585			−0.329450
$143$	−4.60699	−	11.0352i	−0.385256	−	0.922810i
$144$	−2.05066			−0.170889
$145$	−23.2468	+	3.68193i	−1.93054	+	0.305767i
$146$	7.87614	−	24.2403i	0.651834	−	2.00614i
$147$	13.8230	−	4.49137i	1.14010	−	0.370442i
$148$	−0.155547	−	0.0246362i	−0.0127859	−	0.00202508i
$149$	−2.35417	+	14.8636i	−0.192861	+	1.21768i	0.681287	+	0.732017i	$0.261421\pi$
$149$	−2.35417	+	14.8636i	−0.192861	+	1.21768i	−0.874148	+	0.485660i	$0.838579\pi$
$150$	7.10595	−	13.9462i	0.580198	−	1.13870i
$151$	11.3350	−	5.77547i	0.922429	−	0.470001i	0.0727793	−	0.997348i	$-0.476813\pi$
$151$	11.3350	−	5.77547i	0.922429	−	0.470001i	0.849650	+	0.527347i	$0.176813\pi$
$152$	−9.94969	−	7.22888i	−0.807027	−	0.586339i
$153$	−4.27537			−0.345643
$154$	−14.2736	+	33.7029i	−1.15020	+	2.71585i
$155$			0.701484i			0.0563445i
$156$	−11.6783	+	6.10861i	−0.935009	+	0.489080i
$157$	−1.64925	+	5.07588i	−0.131625	+	0.405100i	−0.995050	−	0.0993778i	$-0.968315\pi$
$157$	−1.64925	+	5.07588i	−0.131625	+	0.405100i	0.863425	+	0.504477i	$0.168315\pi$
$158$	−8.94169	+	17.5491i	−0.711363	+	1.39613i
$159$	−4.58071	+	3.32808i	−0.363274	+	0.263934i
$160$	8.24952	−	5.99363i	0.652182	−	0.473838i
$161$	7.27949	+	3.70908i	0.573704	+	0.292317i
$162$	−1.07963	−	2.11889i	−0.0848237	−	0.166476i
$163$	18.1038	−	2.86736i	1.41800	−	0.224589i	0.600087	−	0.799935i	$-0.295133\pi$
$163$	18.1038	−	2.86736i	1.41800	−	0.224589i	0.817910	+	0.575346i	$0.195133\pi$
$164$	−4.59882	−	4.59882i	−0.359107	−	0.359107i
$165$	5.97349	−	9.57694i	0.465035	−	0.745563i
$166$		−	9.79015i		−	0.759863i
$167$	3.95015	+	24.9402i	0.305671	+	1.92993i	0.363471	+	0.931606i	$0.381592\pi$
$167$	3.95015	+	24.9402i	0.305671	+	1.92993i	−0.0577993	+	0.998328i	$0.518408\pi$
$168$	17.3732	+	5.64489i	1.34037	+	0.435513i
$169$	−7.41445	+	10.6783i	−0.570342	+	0.821407i
$170$	−27.9929	+	20.3381i	−2.14696	+	1.55986i
$171$	0.488739	−	3.08578i	0.0373748	−	0.235975i
$172$	−30.7566	+	9.99343i	−2.34517	+	0.761992i
$173$	4.82774	−	14.8583i	0.367046	−	1.12965i	−0.581643	−	0.813444i	$-0.697590\pi$
$173$	4.82774	−	14.8583i	0.367046	−	1.12965i	0.948690	−	0.316209i	$-0.102410\pi$
$174$	2.57285	+	16.2443i	0.195047	+	1.23148i
$175$	−21.5972	+	21.5972i	−1.63260	+	1.63260i
$176$	−5.82698	+	3.50767i	−0.439225	+	0.264401i
$177$	7.48232	−	7.48232i	0.562405	−	0.562405i
$178$	4.28637	−	5.89968i	0.321277	−	0.442200i
$179$	9.66426	+	3.14011i	0.722341	+	0.234703i	0.647038	−	0.762458i	$-0.276008\pi$
$179$	9.66426	+	3.14011i	0.722341	+	0.234703i	0.0753031	+	0.997161i	$0.476008\pi$
$180$	−11.0839	−	5.64754i	−0.826147	−	0.420943i
$181$	8.20995	+	11.3000i	0.610241	+	0.839925i	0.996597	−	0.0824251i	$-0.0262665\pi$
$181$	8.20995	+	11.3000i	0.610241	+	0.839925i	−0.386356	+	0.922350i	$0.626267\pi$
$182$	39.2306	−	6.64448i	2.90796	−	0.492521i
$183$	2.26975	−	0.737486i	0.167785	−	0.0545165i
$184$	3.14636	+	6.17507i	0.231952	+	0.455232i
$185$	−0.118622	−	0.0861836i	−0.00872123	−	0.00633635i
$186$	0.490181			0.0359418
$187$	−12.1485	+	7.31304i	−0.888387	+	0.534783i
$188$	20.8821	+	20.8821i	1.52298	+	1.52298i
$189$	0.725936	+	4.58338i	0.0528041	+	0.333392i
$190$	−11.4791	−	22.5290i	−0.832783	−	1.63443i
$191$	1.79024	+	5.50980i	0.129537	+	0.398675i	0.994700	−	0.102816i	$-0.0327852\pi$
$191$	1.79024	+	5.50980i	0.129537	+	0.398675i	−0.865163	+	0.501491i	$0.832785\pi$
$192$	−6.59892	−	9.08263i	−0.476236	−	0.655483i
$193$	17.9857	+	2.84865i	1.29464	+	0.205050i	0.765472	−	0.643469i	$-0.222506\pi$
$193$	17.9857	+	2.84865i	1.29464	+	0.205050i	0.529164	+	0.848520i	$0.322506\pi$
$194$	0.557399	+	1.71550i	0.0400189	+	0.123166i
$195$	−12.2697	+	0.131268i	−0.878655	+	0.00940032i
$196$	−42.9811	−	31.2276i	−3.07008	−	2.23054i
$197$	11.4126	−	11.4126i	0.813114	−	0.813114i	−0.171985	−	0.985100i	$-0.555018\pi$
$197$	11.4126	−	11.4126i	0.813114	−	0.813114i	0.985100	+	0.171985i	$0.0550181\pi$
$198$	−6.69215	−	4.17414i	−0.475591	−	0.296643i
$199$			16.5070i			1.17015i	0.810979	+	0.585076i	$0.198935\pi$
$199$			16.5070i			1.17015i	−0.810979	+	0.585076i	$0.801065\pi$
$200$	−25.5902	+	4.05310i	−1.80950	+	0.286597i
$201$	−13.0327	+	6.64047i	−0.919253	+	0.468383i
$202$	−24.7053	−	12.5880i	−1.73826	−	0.885688i
$203$	5.02056	−	31.6986i	0.352374	−	2.22480i
$204$	9.18580	+	12.6432i	0.643134	+	0.885198i
$205$	−1.87115	−	5.75880i	−0.130687	−	0.402212i
$206$	18.9586	−	9.65987i	1.32090	−	0.673035i
$207$	−1.03484	+	1.42433i	−0.0719262	+	0.0989980i
$208$	6.62344	+	3.28604i	0.459253	+	0.227846i
$209$	−3.88948	−	9.60426i	−0.269041	−	0.664341i
$210$	26.5563	+	26.5563i	1.83256	+	1.83256i
$211$	15.2934	−	21.0496i	1.05284	−	1.44912i	0.166527	−	0.986037i	$-0.446745\pi$
$211$	15.2934	−	21.0496i	1.05284	−	1.44912i	0.886317	−	0.463079i	$-0.153255\pi$
$212$	19.6836	+	6.39560i	1.35188	+	0.439252i
$213$	−0.749466	+	1.47091i	−0.0513526	+	0.100785i
$214$	27.8991	+	4.41878i	1.90714	+	0.302062i
$215$	−29.7383	−	4.71009i	−2.02814	−	0.321226i
$216$	−1.78712	+	3.50742i	−0.121598	+	0.238650i
$217$	−0.909706	−	0.295581i	−0.0617549	−	0.0200654i
$218$	−13.2203	+	18.1962i	−0.895393	+	1.23240i
$219$	−7.57858	−	7.57858i	−0.512113	−	0.512113i
$220$	−41.1552	+	2.91156i	−2.77469	+	0.196297i
$221$	13.8090	+	6.85096i	0.928895	+	0.460846i
$222$	−0.0602233	+	0.0828902i	−0.00404192	+	0.00556323i
$223$	18.5654	−	9.45955i	1.24323	−	0.633458i	0.296362	−	0.955076i	$-0.404226\pi$
$223$	18.5654	−	9.45955i	1.24323	−	0.633458i	0.946870	+	0.321617i	$0.104226\pi$
$224$	4.29666	+	13.2238i	0.287083	+	0.883549i
$225$	−3.86871	−	5.32482i	−0.257914	−	0.354988i
$226$	−2.46286	+	15.5499i	−0.163827	+	1.03436i
$227$	−15.2826	−	7.78687i	−1.01434	−	0.516832i	−0.133903	−	0.990994i	$-0.542751\pi$
$227$	−15.2826	−	7.78687i	−1.01434	−	0.516832i	−0.880438	+	0.474162i	$0.842751\pi$
$228$	−10.1754	+	5.18461i	−0.673880	+	0.343359i
$229$	−12.5995	+	1.99556i	−0.832596	+	0.131870i	−0.558158	−	0.829735i	$-0.688492\pi$
$229$	−12.5995	+	1.99556i	−0.832596	+	0.131870i	−0.274438	+	0.961605i	$0.588492\pi$
$230$			14.2486i			0.939522i
$231$	9.90265	+	11.7820i	0.651546	+	0.775199i
$232$	19.2507	−	19.2507i	1.26387	−	1.26387i
$233$	−10.1476	−	7.37270i	−0.664794	−	0.483001i	0.203484	−	0.979078i	$-0.434773\pi$
$233$	−10.1476	−	7.37270i	−0.664794	−	0.483001i	−0.868279	+	0.496077i	$0.834773\pi$
$234$	0.0917275	+	8.57383i	0.00599641	+	0.560489i
$235$	8.49642	+	26.1493i	0.554246	+	1.70579i
$236$	−38.2028	−	6.05073i	−2.48679	−	0.393869i
$237$	4.86815	+	6.70043i	0.316220	+	0.435240i
$238$	−14.5798	−	44.8719i	−0.945066	−	2.90861i
$239$	−4.57298	−	8.97499i	−0.295802	−	0.580544i	0.694497	−	0.719495i	$-0.255627\pi$
$239$	−4.57298	−	8.97499i	−0.295802	−	0.580544i	−0.990299	+	0.138952i	$0.955627\pi$
$240$	1.09173	+	6.89292i	0.0704710	+	0.444936i
$241$	7.49083	+	7.49083i	0.482527	+	0.482527i	0.905938	−	0.423411i	$-0.139167\pi$
$241$	7.49083	+	7.49083i	0.482527	+	0.482527i	−0.423411	+	0.905938i	$0.639167\pi$
$242$	−26.1557	−	0.413909i	−1.68135	−	0.0266071i
$243$	−1.00000			−0.0641500
$244$	−7.05753	−	5.12760i	−0.451812	−	0.328261i
$245$	−22.4560	−	44.0723i	−1.43466	−	2.81568i
$246$	−4.02413	+	1.30752i	−0.256569	+	0.0833643i
$247$	−6.52331	+	9.18358i	−0.415068	+	0.584337i
$248$	−0.476930	−	0.656438i	−0.0302851	−	0.0416838i
$249$	−3.66811	−	1.86899i	−0.232457	−	0.118443i
$250$	−12.1755	−	3.95605i	−0.770044	−	0.250203i
$251$	12.0894	−	16.6397i	0.763077	−	1.05029i	−0.233874	−	0.972267i	$-0.575140\pi$
$251$	12.0894	−	16.6397i	0.763077	−	1.05029i	0.996952	−	0.0780191i	$-0.0248595\pi$
$252$	11.9943	−	11.9943i	0.755570	−	0.755570i
$253$	−0.504176	+	5.81735i	−0.0316973	+	0.365734i
$254$	−26.0968	+	26.0968i	−1.63746	+	1.63746i
$255$	2.27612	+	14.3709i	0.142536	+	0.899938i
$256$	−8.27745	+	25.4754i	−0.517341	+	1.59221i
$257$	1.99459	−	0.648081i	0.124419	−	0.0404262i	−0.246146	−	0.969233i	$-0.579164\pi$
$257$	1.99459	−	0.648081i	0.124419	−	0.0404262i	0.370565	+	0.928807i	$0.379164\pi$
$258$	−3.29131	+	20.7805i	−0.204908	+	1.29374i
$259$	0.161749	−	0.117517i	0.0100506	−	0.00730217i
$260$	26.7502	+	36.0021i	1.65898	+	2.23276i
$261$	6.57749	+	2.13716i	0.407136	+	0.132287i
$262$	3.70214	+	23.3744i	0.228719	+	1.44407i
$263$			9.44214i			0.582227i	0.956688	+	0.291114i	$0.0940258\pi$
$263$			9.44214i			0.582227i	−0.956688	+	0.291114i	$0.905974\pi$
$264$	0.921340	+	13.0233i	0.0567045	+	0.801526i
$265$	13.6254	+	13.6254i	0.837001	+	0.837001i
$266$	34.0533	−	5.39351i	2.08794	−	0.330697i
$267$	−1.39216	−	2.73227i	−0.0851989	−	0.167212i
$268$	47.6384	+	24.2730i	2.90998	+	1.48271i
$269$	6.75642	−	4.90883i	0.411947	−	0.299297i	−0.362443	−	0.932006i	$-0.618057\pi$
$269$	6.75642	−	4.90883i	0.411947	−	0.299297i	0.774389	+	0.632709i	$0.218057\pi$
$270$	−6.54749	+	4.75703i	−0.398467	+	0.289503i
$271$	9.13911	−	17.9365i	0.555162	−	1.08957i	−0.427475	−	0.904027i	$-0.640597\pi$
$271$	9.13911	−	17.9365i	0.555162	−	1.08957i	0.982637	−	0.185539i	$-0.0594031\pi$
$272$	2.70926	−	8.33825i	0.164273	−	0.505581i
$273$	4.99982	−	15.9671i	0.302603	−	0.966373i
$274$		−	8.12469i		−	0.490831i
$275$	−20.1011	−	8.51308i	−1.21214	−	0.513358i
$276$	6.43543			0.387368
$277$	8.18895	+	5.94962i	0.492026	+	0.357478i	0.805963	−	0.591966i	$-0.201648\pi$
$277$	8.18895	+	5.94962i	0.492026	+	0.357478i	−0.313937	+	0.949444i	$0.601648\pi$
$278$	−20.1548	+	10.2694i	−1.20880	+	0.615916i
$279$	0.0935784	−	0.183658i	0.00560239	−	0.0109953i
$280$	9.72511	−	61.4019i	0.581186	−	3.66947i
$281$	−7.62701	−	1.20800i	−0.454989	−	0.0720632i	−0.0752662	−	0.997163i	$-0.523981\pi$
$281$	−7.62701	−	1.20800i	−0.454989	−	0.0720632i	−0.379723	+	0.925100i	$0.623981\pi$
$282$	18.2726	−	5.93712i	1.08812	−	0.353550i
$283$	−9.31342	+	28.6637i	−0.553625	+	1.70388i	0.145922	+	0.989296i	$0.453385\pi$
$283$	−9.31342	+	28.6637i	−0.553625	+	1.70388i	−0.699547	+	0.714587i	$0.746615\pi$
$284$	5.96004	−	0.943978i	0.353664	−	0.0560148i
$285$	−10.6325			−0.629812
$286$	14.9262	+	24.2057i	0.882606	+	1.43131i
$287$	8.25663			0.487374
$288$	−2.95939	+	0.468722i	−0.174384	+	0.0276197i
$289$	0.395176	−	1.21623i	0.0232456	−	0.0715427i
$290$	53.2325	−	17.2963i	3.12592	−	1.01567i
$291$	0.749162	+	0.118656i	0.0439167	+	0.00695571i
$292$	−6.12858	+	38.6943i	−0.358648	+	2.26441i
$293$	−6.12872	+	12.0283i	−0.358044	+	0.702700i	−0.997829	−	0.0658531i	$-0.979023\pi$
$293$	−6.12872	+	12.0283i	−0.358044	+	0.702700i	0.639786	+	0.768553i	$0.279023\pi$
$294$	−30.7968	+	15.6917i	−1.79610	+	0.915161i
$295$	−29.1338	−	21.1670i	−1.69624	−	1.23239i
$296$	0.169599			0.00985777
$297$	−2.84151	+	1.71050i	−0.164881	+	0.0992535i
$298$		−	35.7877i		−	2.07312i
$299$	5.62481	−	2.94220i	0.325291	−	0.170152i
$300$	−7.43453	+	22.8811i	−0.429233	+	1.32104i
$301$	18.6389	−	36.5810i	1.07433	−	2.10849i
$302$	−24.4752	+	17.7823i	−1.40839	+	1.02326i
$303$	−9.43277	+	6.85331i	−0.541898	+	0.393712i
$304$	5.70848	+	2.90862i	0.327404	+	0.166821i
$305$	−3.68729	−	7.23671i	−0.211133	−	0.414373i
$306$	10.0420	−	1.59050i	0.574065	−	0.0909230i
$307$	−19.1893	−	19.1893i	−1.09519	−	1.09519i	−0.994965	−	0.100224i	$-0.968044\pi$
$307$	−19.1893	−	19.1893i	−1.09519	−	1.09519i	−0.100224	−	0.994965i	$-0.531956\pi$
$308$	13.5656	−	54.5982i	0.772973	−	3.11102i
$309$		−	8.94739i		−	0.508999i
$310$	−0.260962	−	1.64765i	−0.0148217	−	0.0935804i
$311$	14.3080	+	4.64894i	0.811331	+	0.263617i	0.685161	−	0.728391i	$-0.259732\pi$
$311$	14.3080	+	4.64894i	0.811331	+	0.263617i	0.126169	+	0.992009i	$0.459732\pi$
$312$	11.3926	−	8.46489i	0.644979	−	0.479230i
$313$	13.6374	−	9.90814i	0.770830	−	0.560041i	−0.131383	−	0.991332i	$-0.541942\pi$
$313$	13.6374	−	9.90814i	0.770830	−	0.560041i	0.902213	+	0.431291i	$0.141942\pi$
$314$	1.98548	−	12.5358i	0.112047	−	0.707438i
$315$	15.0197	−	4.88019i	0.846264	−	0.274968i
$316$	9.35516	−	28.7922i	0.526269	−	1.61969i
$317$	−0.909316	−	5.74120i	−0.0510723	−	0.322458i	−0.999976	−	0.00689267i	$-0.997806\pi$
$317$	−0.909316	−	5.74120i	−0.0510723	−	0.322458i	0.948904	−	0.315565i	$-0.102194\pi$
$318$	9.52113	−	9.52113i	0.533918	−	0.533918i
$319$	22.3456	−	5.17807i	1.25111	−	0.289916i
$320$	−27.0164	+	27.0164i	−1.51026	+	1.51026i
$321$	6.98169	−	9.60948i	0.389680	−	0.536349i
$322$	−18.4780	−	6.00386i	−1.02974	−	0.334582i
$323$	11.9014	+	6.06409i	0.662214	+	0.337415i
$324$	2.14854	+	2.95721i	0.119363	+	0.164289i
$325$	3.96291	+	23.3979i	0.219823	+	1.29788i
$326$	−41.4556	+	13.4698i	−2.29602	+	0.746021i
$327$	4.29380	+	8.42706i	0.237448	+	0.466017i
$328$	5.66633	+	4.11683i	0.312871	+	0.227314i
$329$	−37.4913			−2.06696
$330$	−10.4678	+	24.7166i	−0.576235	+	1.36061i
$331$	−12.6639	−	12.6639i	−0.696070	−	0.696070i	0.267491	−	0.963560i	$-0.413806\pi$
$331$	−12.6639	−	12.6639i	−0.696070	−	0.696070i	−0.963560	+	0.267491i	$0.913806\pi$
$332$	2.35406	+	14.8630i	0.129196	+	0.815711i
$333$	0.0195598	+	0.0383882i	0.00107187	+	0.00210366i
$334$	−18.5563	−	57.1104i	−1.01536	−	3.12494i
$335$	29.2590	+	40.2716i	1.59859	+	2.20027i
$336$	−9.39898	−	1.48865i	−0.512756	−	0.0812126i
$337$	0.0798121	+	0.245636i	0.00434764	+	0.0133807i	0.953207	−	0.302319i	$-0.0977608\pi$
$337$	0.0798121	+	0.245636i	0.00434764	+	0.0133807i	−0.948859	+	0.315700i	$0.897761\pi$
$338$	13.4426	−	27.8396i	0.731184	−	1.51427i
$339$	5.35596	+	3.89133i	0.290896	+	0.211348i
$340$	37.6073	−	37.6073i	2.03954	−	2.03954i
$341$	−0.0482438	−	0.681932i	−0.00261255	−	0.0369287i
$342$			7.42973i			0.401754i
$343$	34.5329	−	5.46947i	1.86460	−	0.295323i
$344$	31.0310	−	15.8111i	1.67308	−	0.852477i
$345$	5.33855	+	2.72013i	0.287418	+	0.146447i
$346$	−5.81196	+	36.6952i	−0.312453	+	1.97275i
$347$	17.9301	+	24.6787i	0.962538	+	1.32482i	0.945727	+	0.324961i	$0.105351\pi$
$347$	17.9301	+	24.6787i	0.962538	+	1.32482i	0.0168104	+	0.999859i	$0.494649\pi$
$348$	−7.81196	−	24.0428i	−0.418765	−	1.28883i
$349$	1.18196	−	0.602238i	0.0632688	−	0.0322371i	−0.422070	−	0.906563i	$-0.638696\pi$
$349$	1.18196	−	0.602238i	0.0632688	−	0.0322371i	0.485339	+	0.874326i	$0.338696\pi$
$350$	42.6933	−	58.7623i	2.28206	−	3.14098i
$351$	3.22990	+	1.60242i	0.172399	+	0.0855311i
$352$	−7.60739	+	6.39393i	−0.405475	+	0.340797i
$353$	9.33029	+	9.33029i	0.496601	+	0.496601i	0.910378	−	0.413777i	$-0.135791\pi$
$353$	9.33029	+	9.33029i	0.496601	+	0.496601i	−0.413777	+	0.910378i	$0.635791\pi$
$354$	−14.7910	+	20.3581i	−0.786134	+	1.08202i
$355$	5.34319	+	1.73611i	0.283587	+	0.0921430i
$356$	−5.08878	+	9.98730i	−0.269705	+	0.529326i
$357$	−19.5957	−	3.10365i	−1.03711	−	0.164262i
$358$	−23.8677	−	3.78027i	−1.26145	−	0.199794i
$359$	15.6979	−	30.8089i	0.828506	−	1.62603i	0.0497036	−	0.998764i	$-0.484172\pi$
$359$	15.6979	−	30.8089i	0.828506	−	1.62603i	0.778802	−	0.627270i	$-0.215828\pi$
$360$	12.7410	+	4.13979i	0.671508	+	0.218186i
$361$	5.43061	−	7.47459i	0.285821	−	0.393400i
$362$	−23.4874	−	23.4874i	−1.23447	−	1.23447i
$363$	−5.14835	+	9.72083i	−0.270218	+	0.510211i
$364$	−57.9603	+	19.5204i	−3.03795	+	1.02315i
$365$	−21.4393	+	29.5087i	−1.12218	+	1.54455i
$366$	−5.05685	+	2.57659i	−0.264326	+	0.134681i
$367$	0.260821	+	0.802724i	0.0136147	+	0.0419019i	0.957633	−	0.287991i	$-0.0929873\pi$
$367$	0.260821	+	0.802724i	0.0136147	+	0.0419019i	−0.944018	+	0.329893i	$0.892987\pi$
$368$	−2.12211	−	2.92083i	−0.110622	−	0.152259i
$369$	−0.278336	+	1.75734i	−0.0144896	+	0.0914837i
$370$	0.310681	+	0.158300i	0.0161516	+	0.00822963i
$371$	−23.4111	+	11.9286i	−1.21544	+	0.619300i
$372$	−0.744171	+	0.117865i	−0.0385835	+	0.00611102i
$373$			5.81771i			0.301229i	0.988593	+	0.150615i	$0.0481253\pi$
$373$			5.81771i			0.301229i	−0.988593	+	0.150615i	$0.951875\pi$
$374$	25.8140	−	21.6964i	1.33481	−	1.12189i
$375$	−3.80659	+	3.80659i	−0.196571	+	0.196571i
$376$	−25.7294	−	18.6935i	−1.32689	−	0.964044i
$377$	−17.8200	−	17.4427i	−0.917776	−	0.898346i
$378$	−3.41017	−	10.4954i	−0.175400	−	0.539827i
$379$	4.88185	+	0.773209i	0.250764	+	0.0397171i	0.280551	−	0.959839i	$-0.409483\pi$
$379$	4.88185	+	0.773209i	0.250764	+	0.0397171i	−0.0297869	+	0.999556i	$0.509483\pi$
$380$	22.8442	+	31.4424i	1.17188	+	1.61296i
$381$	4.79575	+	14.7598i	0.245694	+	0.756167i
$382$	−6.25467	−	12.2755i	−0.320017	−	0.628068i
$383$	−1.60883	−	10.1578i	−0.0822075	−	0.519038i	−0.994088	−	0.108581i	$-0.965369\pi$
$383$	−1.60883	−	10.1578i	−0.0822075	−	0.519038i	0.911880	−	0.410457i	$-0.134631\pi$
$384$	14.6411	+	14.6411i	0.747151	+	0.747151i
$385$	34.3310	−	39.5584i	1.74967	−	2.01608i
$386$	−43.3047			−2.20415
$387$	7.15757	+	5.20028i	0.363840	+	0.264345i
$388$	−1.25871	−	2.47036i	−0.0639015	−	0.125414i
$389$	12.8681	−	4.18108i	0.652436	−	0.211989i	0.0359482	−	0.999354i	$-0.488555\pi$
$389$	12.8681	−	4.18108i	0.652436	−	0.211989i	0.616488	+	0.787364i	$0.288555\pi$
$390$	28.7705	−	4.87286i	1.45685	−	0.246747i
$391$	−4.42432	−	6.08955i	−0.223747	−	0.307962i
$392$	50.9782	+	25.9747i	2.57479	+	1.31192i
$393$	9.46451	+	3.07521i	0.477422	+	0.155124i
$394$	−22.5604	+	31.0517i	−1.13658	+	1.56436i
$395$	19.9305	−	19.9305i	1.00281	−	1.00281i
$396$	11.1634	+	4.72785i	0.560982	+	0.237583i
$397$	−2.94302	+	2.94302i	−0.147706	+	0.147706i	−0.777092	−	0.629387i	$-0.783306\pi$
$397$	−2.94302	+	2.94302i	−0.147706	+	0.147706i	0.629387	+	0.777092i	$0.283306\pi$
$398$	−6.14086	−	38.7719i	−0.307814	−	1.94346i
$399$	4.48016	−	13.7885i	0.224288	−	0.690289i
$400$	12.8365	−	4.17085i	0.641827	−	0.208542i
$401$	−0.0674241	+	0.425699i	−0.00336700	+	0.0212584i	−0.989315	−	0.145796i	$-0.953426\pi$
$401$	−0.0674241	+	0.425699i	−0.00336700	+	0.0212584i	0.985948	+	0.167055i	$0.0534256\pi$
$402$	28.1409	−	20.4456i	1.40354	−	1.01973i
$403$	−0.596546	+	0.443244i	−0.0297161	+	0.0220795i
$404$	40.5333	+	13.1701i	2.01661	+	0.655235i
$405$	0.532379	+	3.36131i	0.0264541	+	0.167025i
$406$			76.3217i			3.78778i
$407$	0.121243	+	0.0756235i	0.00600977	+	0.00374852i
$408$	−11.9005	−	11.9005i	−0.589164	−	0.589164i
$409$	−0.415453	+	0.0658014i	−0.0205428	+	0.00325367i	−0.166697	−	0.986008i	$-0.553310\pi$
$409$	−0.415453	+	0.0658014i	−0.0205428	+	0.00325367i	0.146155	+	0.989262i	$0.453310\pi$
$410$	6.53734	+	12.8302i	0.322856	+	0.633641i
$411$	−3.04410	−	1.55105i	−0.150155	−	0.0765076i
$412$	−26.4593	+	19.2238i	−1.30355	+	0.947088i
$413$	39.7260	−	28.8626i	1.95479	−	1.42024i
$414$	1.90077	−	3.73046i	0.0934176	−	0.183342i
$415$	−4.32945	+	13.3247i	−0.212524	+	0.654082i
$416$	10.3096	+	3.22828i	0.505471	+	0.158279i
$417$			9.51194i			0.465802i
$418$	12.7086	+	21.1116i	0.621597	+	1.03260i
$419$	−19.7740			−0.966021			−0.483010	−	0.875615i	$-0.660457\pi$
$419$	−19.7740			−0.966021			−0.483010	+	0.875615i	$0.660457\pi$
$420$	−46.7021	−	33.9311i	−2.27883	−	1.65567i
$421$	13.3083	−	6.78092i	0.648607	−	0.330482i	−0.0985474	−	0.995132i	$-0.531420\pi$
$421$	13.3083	−	6.78092i	0.648607	−	0.330482i	0.747154	+	0.664651i	$0.231420\pi$
$422$	−28.0906	+	55.1310i	−1.36743	+	2.68373i
$423$	1.26386	−	7.97967i	0.0614508	−	0.387985i
$424$	−22.0142	−	3.48670i	−1.06910	−	0.169329i
$425$	26.7626	−	8.69568i	1.29817	−	0.421803i
$426$	1.21315	−	3.73370i	0.0587775	−	0.180899i
$427$	10.9385	−	1.73249i	0.529350	−	0.0838409i
$428$	−43.4176			−2.09867
$429$	11.9187	−	0.971448i	0.575442	−	0.0469020i
$430$	71.6020			3.45295
$431$	30.7038	−	4.86300i	1.47895	−	0.234243i	0.635772	−	0.771877i	$-0.280682\pi$
$431$	30.7038	−	4.86300i	1.47895	−	0.234243i	0.843178	+	0.537634i	$0.180682\pi$
$432$	0.633690	−	1.95030i	0.0304884	−	0.0938338i
$433$	−19.5528	+	6.35308i	−0.939647	+	0.305310i	−0.738502	−	0.674252i	$-0.764466\pi$
$433$	−19.5528	+	6.35308i	−0.939647	+	0.305310i	−0.201145	+	0.979561i	$0.564466\pi$
$434$	2.24669	+	0.355840i	0.107844	+	0.0170809i
$435$	3.68193	−	23.2468i	0.176535	−	1.11460i
$436$	15.6952	−	30.8035i	0.751662	−	1.47522i
$437$	4.90094	−	2.49715i	0.234444	−	0.119455i
$438$	20.6200	+	14.9813i	0.985262	+	0.715835i
$439$	8.75555			0.417880			0.208940	−	0.977929i	$-0.432999\pi$
$439$	8.75555			0.417880			0.208940	+	0.977929i	$0.432999\pi$
$440$	43.2847	−	10.0302i	2.06352	−	0.478172i
$441$			14.5344i			0.692113i
$442$	−34.9834	−	10.9545i	−1.66399	−	0.521050i
$443$	−5.58388	+	17.1854i	−0.265298	+	0.816504i	0.726326	+	0.687350i	$0.241226\pi$
$443$	−5.58388	+	17.1854i	−0.265298	+	0.816504i	−0.991625	+	0.129154i	$0.958774\pi$
$444$	0.0714971	−	0.140321i	0.00339310	−	0.00665933i
$445$	−8.44286	+	6.13409i	−0.400230	+	0.290784i
$446$	−40.0876	+	29.1253i	−1.89820	+	1.37912i
$447$	−13.4087	−	6.83206i	−0.634209	−	0.323146i
$448$	−23.6519	−	46.4196i	−1.11745	−	2.19312i
$449$	−30.2003	+	4.78325i	−1.42524	+	0.225736i	−0.820937	−	0.571019i	$-0.806548\pi$
$449$	−30.2003	+	4.78325i	−1.42524	+	0.225736i	−0.604303	+	0.796755i	$0.706548\pi$
$450$	11.0678	+	11.0678i	0.521740	+	0.521740i
$451$	2.21505	+	5.46961i	0.104303	+	0.257554i
$452$		−	24.1994i		−	1.13824i
$453$	1.99009	+	12.5649i	0.0935027	+	0.590353i
$454$	38.7927	+	12.6045i	1.82063	+	0.591560i
$455$	−56.3322	−	8.30540i	−2.64089	−	0.389363i
$456$	9.94969	−	7.22888i	0.465937	−	0.338523i
$457$	−0.548048	+	3.46024i	−0.0256366	+	0.161863i	−0.997185	−	0.0749769i	$-0.976112\pi$
$457$	−0.548048	+	3.46024i	−0.0256366	+	0.161863i	0.971549	+	0.236840i	$0.0761117\pi$
$458$	28.8514	−	9.37438i	1.34814	−	0.438036i
$459$	1.32116	−	4.06612i	0.0616666	−	0.189790i
$460$	−3.42609	−	21.6315i	−0.159742	−	1.00857i
$461$	−22.9381	+	22.9381i	−1.06833	+	1.06833i	−0.0708451	+	0.997487i	$0.522570\pi$
$461$	−22.9381	+	22.9381i	−1.06833	+	1.06833i	−0.997487	+	0.0708451i	$0.977430\pi$
$462$	−27.6425	−	23.9898i	−1.28605	−	1.11610i
$463$	−28.1350	+	28.1350i	−1.30754	+	1.30754i	−0.384362	+	0.923183i	$0.625578\pi$
$463$	−28.1350	+	28.1350i	−1.30754	+	1.30754i	−0.923183	+	0.384362i	$0.874422\pi$
$464$	−8.33618	+	11.4738i	−0.386997	+	0.532656i
$465$	−0.667151	−	0.216770i	−0.0309384	−	0.0100525i
$466$	26.5777	+	13.5420i	1.23119	+	0.627321i
$467$	5.64068	+	7.76373i	0.261019	+	0.359262i	0.919332	−	0.393482i	$-0.128730\pi$
$467$	5.64068	+	7.76373i	0.261019	+	0.359262i	−0.658313	+	0.752744i	$0.728730\pi$
$468$	−2.20085	−	12.9943i	−0.101734	−	0.600664i
$469$	−64.5542	+	20.9749i	−2.98084	+	0.968532i
$470$	−29.6844	−	58.2590i	−1.36924	−	2.68729i
$471$	−4.31780	−	3.13707i	−0.198954	−	0.144548i
$472$	41.6542			1.91729
$473$	29.2334	+	2.53359i	1.34415	+	0.116495i
$474$	−13.9270	−	13.9270i	−0.639689	−	0.639689i
$475$	3.21680	+	20.3101i	0.147597	+	0.931891i
$476$	32.9239	+	64.6167i	1.50906	+	2.96170i
$477$	−1.74968	−	5.38495i	−0.0801121	−	0.246560i
$478$	14.0799	+	19.3793i	0.644000	+	0.886390i
$479$	−35.7102	−	5.65593i	−1.63164	−	0.258426i	−0.727639	−	0.685960i	$-0.759383\pi$
$479$	−35.7102	−	5.65593i	−1.63164	−	0.258426i	−0.903999	+	0.427534i	$0.859383\pi$
$480$	3.15104	+	9.69790i	0.143825	+	0.442646i
$481$	−0.00166184	−	0.155333i	−7.57733e−5	−	0.00708258i
$482$	−20.3812	−	14.8078i	−0.928340	−	0.674479i
$483$	−5.77703	+	5.77703i	−0.262864	+	0.262864i
$484$	39.8079	−	5.66081i	1.80945	−	0.257310i
$485$		−	2.58134i		−	0.117212i
$486$	2.34881	−	0.372015i	0.106544	−	0.0168749i
$487$	−25.5142	+	13.0001i	−1.15616	+	0.589093i	−0.923550	−	0.383478i	$-0.874726\pi$
$487$	−25.5142	+	13.0001i	−1.15616	+	0.589093i	−0.232609	+	0.972570i	$0.574726\pi$
$488$	8.37065	+	4.26506i	0.378922	+	0.193070i
$489$	−2.86736	+	18.1038i	−0.129666	+	0.818681i
$490$	69.1404	+	95.1635i	3.12344	+	4.29905i
$491$	2.68239	+	8.25554i	0.121054	+	0.372567i	0.993162	−	0.116748i	$-0.0372469\pi$
$491$	2.68239	+	8.25554i	0.121054	+	0.372567i	−0.872107	+	0.489315i	$0.837247\pi$
$492$	5.79485	−	2.95262i	0.261252	−	0.133114i
$493$	−17.3799	+	23.9213i	−0.782750	+	1.07736i
$494$	11.9056	−	23.9973i	0.535657	−	1.07969i
$495$	7.26230	+	8.64056i	0.326416	+	0.388364i
$496$	0.298888	+	0.298888i	0.0134205	+	0.0134205i
$497$	−4.50288	+	6.19768i	−0.201982	+	0.278004i
$498$	9.31099	+	3.02532i	0.417235	+	0.135568i
$499$	−10.8278	+	21.2508i	−0.484719	+	0.951315i	0.511061	+	0.859544i	$0.329253\pi$
$499$	−10.8278	+	21.2508i	−0.484719	+	0.951315i	−0.995780	+	0.0917704i	$0.970747\pi$
$500$	19.4355	+	3.07828i	0.869181	+	0.137665i
$501$	−24.9402	−	3.95015i	−1.11425	−	0.176480i
$502$	−22.2056	+	43.5809i	−0.991083	+	1.94511i
$503$	−2.87641	−	0.934602i	−0.128253	−	0.0416718i	0.244187	−	0.969728i	$-0.421479\pi$
$503$	−2.87641	−	0.934602i	−0.128253	−	0.0416718i	−0.372440	+	0.928056i	$0.621479\pi$
$504$	−10.7372	+	14.7785i	−0.478274	+	0.658287i
$505$	28.0579	+	28.0579i	1.24856	+	1.24856i
$506$	−0.979929	−	13.8514i	−0.0435632	−	0.615771i
$507$	−7.86447	−	10.3513i	−0.349273	−	0.459719i
$508$	33.3439	−	45.8940i	1.47940	−	2.03622i
$509$	−29.7322	+	15.1493i	−1.31785	+	0.671480i	−0.964518	−	0.264016i	$-0.914953\pi$
$509$	−29.7322	+	15.1493i	−1.31785	+	0.671480i	−0.353336	+	0.935496i	$0.614953\pi$
$510$	−10.6924	−	32.9077i	−0.473465	−	1.45718i
$511$	−29.2340	−	40.2371i	−1.29323	−	1.77998i
$512$	3.48679	−	22.0147i	0.154096	−	0.972922i
$513$	2.78372	+	1.41838i	0.122904	+	0.0626229i
$514$	−4.44381	+	2.26424i	−0.196008	+	0.0998712i
$515$	−30.0749	+	4.76340i	−1.32526	+	0.209901i
$516$		−	32.3394i		−	1.42366i
$517$	−10.0580	−	24.8361i	−0.442350	−	1.09229i
$518$	−0.336199	+	0.336199i	−0.0147717	+	0.0147717i
$519$	12.6392	+	9.18291i	0.554799	+	0.403085i
$520$	−34.5183	−	33.7875i	−1.51373	−	1.48168i
$521$	−7.53655	−	23.1951i	−0.330182	−	1.01620i	−0.969047	−	0.246877i	$-0.920596\pi$
$521$	−7.53655	−	23.1951i	−0.330182	−	1.01620i	0.638865	−	0.769319i	$-0.279404\pi$
$522$	−16.2443	−	2.57285i	−0.710995	−	0.112611i
$523$	0.0777781	+	0.107052i	0.00340100	+	0.00468108i	0.810714	−	0.585442i	$-0.199079\pi$
$523$	0.0777781	+	0.107052i	0.00340100	+	0.00468108i	−0.807313	+	0.590123i	$0.799079\pi$
$524$	−11.2408	−	34.5957i	−0.491058	−	1.51132i
$525$	−13.8663	−	27.2141i	−0.605174	−	1.18772i
$526$	−3.51262	−	22.1778i	−0.153157	−	0.966998i
$527$	0.623143	+	0.623143i	0.0271445	+	0.0271445i
$528$	−1.53536	−	6.62572i	−0.0668178	−	0.288347i
$529$	19.9004			0.865234
$530$	−37.0723	−	26.9346i	−1.61032	−	1.16996i
$531$	4.80394	+	9.42827i	0.208473	+	0.409152i
$532$	−50.4012	+	16.3764i	−2.18517	+	0.710005i
$533$	3.71501	−	5.23003i	0.160915	−	0.226538i
$534$	4.28637	+	5.89968i	0.185489	+	0.255304i
$535$	−36.0174	−	18.3518i	−1.55717	−	0.793416i
$536$	−54.7603	−	17.7927i	−2.36528	−	0.768527i
$537$	−5.97284	+	8.22091i	−0.257747	+	0.354759i
$538$	−14.0434	+	14.0434i	−0.605454	+	0.605454i
$539$	24.8611	+	41.2995i	1.07084	+	1.77890i
$540$	8.79626	−	8.79626i	0.378531	−	0.378531i
$541$	−1.83004	−	11.5544i	−0.0786794	−	0.496762i	−0.995287	−	0.0969740i	$-0.969084\pi$
$541$	−1.83004	−	11.5544i	−0.0786794	−	0.496762i	0.916608	−	0.399788i	$-0.130916\pi$
$542$	−14.7934	+	45.5294i	−0.635431	+	1.95565i
$543$	−13.2840	+	4.31623i	−0.570070	+	0.185227i
$544$	2.00396	−	12.6525i	0.0859190	−	0.542472i
$545$	26.0400	−	18.9192i	1.11543	−	0.810409i
$546$	−5.80363	+	39.3637i	−0.248373	+	1.68461i
$547$	−0.0556217	−	0.0180726i	−0.00237821	−	0.000772728i	0.307828	−	0.951442i	$-0.400398\pi$
$547$	−0.0556217	−	0.0180726i	−0.00237821	−	0.000772728i	−0.310206	+	0.950669i	$0.600398\pi$
$548$	1.95360	+	12.3345i	0.0834536	+	0.526905i
$549$			2.38655i			0.101856i
$550$	50.3807	+	12.5177i	2.14824	+	0.533757i
$551$	−15.2786	−	15.2786i	−0.650890	−	0.650890i
$552$	−6.84512	+	1.08416i	−0.291348	+	0.0461449i
$553$	17.4485	+	34.2446i	0.741985	+	1.45623i
$554$	−21.4476	−	10.9281i	−0.911223	−	0.464291i
$555$	0.118622	−	0.0861836i	0.00503521	−	0.00365829i
$556$	28.1288	−	20.4368i	1.19293	−	0.866711i
$557$	4.23650	−	8.31459i	0.179506	−	0.352301i	−0.783668	−	0.621180i	$-0.786653\pi$
$557$	4.23650	−	8.31459i	0.179506	−	0.352301i	0.963174	+	0.268880i	$0.0866534\pi$
$558$	−0.151474	+	0.466190i	−0.00641242	+	0.0197354i
$559$	−14.7852	−	28.2658i	−0.625346	−	1.19552i
$560$			32.3854i			1.36853i
$561$	−3.20102	−	13.8138i	−0.135147	−	0.583218i
$562$	18.3638			0.774630
$563$	22.8617	+	16.6100i	0.963508	+	0.700029i	0.953963	−	0.299925i	$-0.0969617\pi$
$563$	22.8617	+	16.6100i	0.963508	+	0.700029i	0.00954501	+	0.999954i	$0.496962\pi$
$564$	−26.3130	+	13.4071i	−1.10798	+	0.564542i
$565$	10.2286	−	20.0747i	0.430320	−	0.844550i
$566$	11.2121	−	70.7905i	0.471280	−	2.97555i
$567$	−4.58338	−	0.725936i	−0.192484	−	0.0304865i
$568$	−6.18043	+	2.00814i	−0.259325	+	0.0842599i
$569$	9.80957	−	30.1908i	0.411239	−	1.26566i	−0.504334	−	0.863509i	$-0.668262\pi$
$569$	9.80957	−	30.1908i	0.411239	−	1.26566i	0.915572	−	0.402153i	$-0.131738\pi$
$570$	24.9736	−	3.95544i	1.04603	−	0.165675i
$571$	−8.43698			−0.353077			−0.176538	−	0.984294i	$-0.556490\pi$
$571$	−8.43698			−0.353077			−0.176538	+	0.984294i	$0.556490\pi$
$572$	−28.4806	−	33.1590i	−1.19083	−	1.38645i
$573$	−5.79334			−0.242020
$574$	−19.3933	+	3.07159i	−0.809460	+	0.128206i
$575$	3.58083	−	11.0207i	0.149331	−	0.459593i
$576$	10.6773	−	3.46926i	0.444886	−	0.144552i
$577$	8.43510	+	1.33599i	0.351158	+	0.0556180i	0.329522	−	0.944148i	$-0.393112\pi$
$577$	8.43510	+	1.33599i	0.351158	+	0.0556180i	0.0216361	+	0.999766i	$0.493112\pi$
$578$	−0.475739	+	3.00370i	−0.0197881	+	0.124937i
$579$	−8.26710	+	16.2251i	−0.343569	+	0.674292i
$580$	−76.6562	+	39.0583i	−3.18298	+	1.62181i
$581$	−15.4556	−	11.2291i	−0.641205	−	0.465863i
$582$	−1.80378			−0.0747692
$583$	−14.1827	−	12.3086i	−0.587387	−	0.509768i
$584$		−	42.1901i		−	1.74584i
$585$	3.66672	−	11.7098i	0.151600	−	0.484140i
$586$	9.92050	−	30.5322i	0.409812	−	1.26127i
$587$	−6.01392	+	11.8030i	−0.248221	+	0.487161i	−0.981176	−	0.193116i	$-0.938141\pi$
$587$	−6.01392	+	11.8030i	−0.248221	+	0.487161i	0.732955	+	0.680277i	$0.238141\pi$
$588$	42.9811	−	31.2276i	1.77251	−	1.28780i
$589$	−0.520992	+	0.378523i	−0.0214671	+	0.0155968i
$590$	76.3043	+	38.8790i	3.14140	+	1.60062i
$591$	7.32734	+	14.3807i	0.301407	+	0.591544i
$592$	−0.0872634	+	0.0138212i	−0.00358650	+	0.000568046i
$593$	−12.9646	−	12.9646i	−0.532392	−	0.532392i	0.388891	−	0.921284i	$-0.372858\pi$
$593$	−12.9646	−	12.9646i	−0.532392	−	0.532392i	−0.921284	+	0.388891i	$0.872858\pi$
$594$	6.03784	−	5.07474i	0.247735	−	0.208219i
$595$			67.5194i			2.76803i
$596$	8.60521	+	54.3312i	0.352483	+	2.22549i
$597$	−15.6991	−	5.10095i	−0.642522	−	0.208768i
$598$	−12.1171	+	9.00318i	−0.495504	+	0.368167i
$599$	24.2020	−	17.5838i	0.988866	−	0.718453i	0.0291932	−	0.999574i	$-0.490706\pi$
$599$	24.2020	−	17.5838i	0.988866	−	0.718453i	0.959672	+	0.281121i	$0.0907062\pi$
$600$	4.05310	−	25.5902i	0.165467	−	1.04472i
$601$	29.9312	−	9.72524i	1.22092	−	0.396701i	0.373503	−	0.927629i	$-0.378157\pi$
$601$	29.9312	−	9.72524i	1.22092	−	0.396701i	0.847417	+	0.530928i	$0.178157\pi$
$602$	−30.1706	+	92.8557i	−1.22966	+	3.78452i
$603$	−2.28815	−	14.4468i	−0.0931807	−	0.588320i
$604$	32.8814	−	32.8814i	1.33792	−	1.33792i
$605$	35.4156	+	12.1300i	1.43985	+	0.493156i
$606$	19.6063	−	19.6063i	0.796450	−	0.796450i
$607$	6.09310	−	8.38643i	0.247311	−	0.340395i	−0.667256	−	0.744828i	$-0.732531\pi$
$607$	6.09310	−	8.38643i	0.247311	−	0.340395i	0.914567	+	0.404434i	$0.132531\pi$
$608$	8.90294	+	2.89274i	0.361062	+	0.117316i
$609$	28.5957	+	14.5702i	1.15876	+	0.590416i
$610$	11.3529	+	15.6259i	0.459666	+	0.632675i
$611$	−16.8689	+	23.7483i	−0.682444	+	0.960753i
$612$	−14.8629	+	4.82926i	−0.600798	+	0.195211i
$613$	8.02514	+	15.7502i	0.324132	+	0.636145i	0.994366	−	0.106005i	$-0.0338060\pi$
$613$	8.02514	+	15.7502i	0.324132	+	0.636145i	−0.670233	+	0.742150i	$0.733806\pi$
$614$	52.2106	+	37.9332i	2.10705	+	1.53086i
$615$	6.05516			0.244168
$616$	−5.23120	+	60.3594i	−0.210771	+	2.43195i
$617$	8.36115	+	8.36115i	0.336607	+	0.336607i	0.855089	−	0.518482i	$-0.173502\pi$
$617$	8.36115	+	8.36115i	0.336607	+	0.336607i	−0.518482	+	0.855089i	$0.673502\pi$
$618$	3.32856	+	21.0157i	0.133894	+	0.845376i
$619$	2.97135	+	5.83160i	0.119428	+	0.234392i	0.942980	−	0.332850i	$-0.108010\pi$
$619$	2.97135	+	5.83160i	0.119428	+	0.234392i	−0.823551	+	0.567242i	$0.808010\pi$
$620$	0.792363	+	2.43864i	0.0318220	+	0.0979382i
$621$	−1.03484	−	1.42433i	−0.0415266	−	0.0571565i
$622$	−35.3362	−	5.59671i	−1.41685	−	0.224407i
$623$	−4.39735	−	13.5337i	−0.176176	−	0.542215i
$624$	−5.17196	+	5.28382i	−0.207044	+	0.211522i
$625$	−11.8024	−	8.57496i	−0.472097	−	0.342998i
$626$	−28.3457	+	28.3457i	−1.13292	+	1.13292i
$627$	10.3361	−	0.731236i	0.412784	−	0.0292027i
$628$			19.5087i			0.778484i
$629$	−0.181933	+	0.0288153i	−0.00725414	+	0.00114894i
$630$	−33.4629	+	17.0502i	−1.33319	+	0.679297i
$631$	−4.89304	−	2.49313i	−0.194789	−	0.0992498i	0.353876	−	0.935292i	$-0.384864\pi$
$631$	−4.89304	−	2.49313i	−0.194789	−	0.0992498i	−0.548665	+	0.836043i	$0.684864\pi$
$632$	−5.10017	+	32.2012i	−0.202874	+	1.28089i
$633$	15.2934	+	21.0496i	0.607860	+	0.836647i
$634$	4.27162	+	13.1467i	0.169648	+	0.522122i
$635$	47.0591	−	23.9778i	1.86748	−	0.951530i
$636$	−12.1652	+	16.7439i	−0.482380	+	0.663939i
$637$	23.2902	−	46.9445i	0.922792	−	1.86001i
$638$	−50.5593	+	20.4752i	−2.00166	+	0.810622i
$639$	−1.16732	−	1.16732i	−0.0461785	−	0.0461785i
$640$	41.4187	−	57.0080i	1.63722	−	2.25344i
$641$	15.2871	+	4.96707i	0.603802	+	0.196187i	0.594936	−	0.803773i	$-0.297178\pi$
$641$	15.2871	+	4.96707i	0.603802	+	0.196187i	0.00886682	+	0.999961i	$0.497178\pi$
$642$	−12.8238	+	25.1681i	−0.506115	+	0.993307i
$643$	6.87229	+	1.08846i	0.271017	+	0.0429248i	0.290463	−	0.956886i	$-0.406191\pi$
$643$	6.87229	+	1.08846i	0.271017	+	0.0429248i	−0.0194469	+	0.999811i	$0.506191\pi$
$644$	29.4960	+	4.67172i	1.16231	+	0.184091i
$645$	13.6692	−	26.8273i	0.538225	−	1.05633i
$646$	−30.2102	−	9.81588i	−1.18860	−	0.386201i
$647$	−10.1163	+	13.9239i	−0.397713	+	0.547405i	−0.960168	−	0.279423i	$-0.909857\pi$
$647$	−10.1163	+	13.9239i	−0.397713	+	0.547405i	0.562455	+	0.826828i	$0.309857\pi$
$648$	−2.78351	−	2.78351i	−0.109346	−	0.109346i
$649$	29.7775	+	18.5734i	1.16887	+	0.729068i
$650$	−18.0125	−	53.4831i	−0.706509	−	2.09778i
$651$	0.562229	−	0.773842i	0.0220355	−	0.0303293i
$652$	59.6972	−	30.4173i	2.33792	−	1.19123i
$653$	−4.53782	−	13.9660i	−0.177579	−	0.546531i	0.822163	−	0.569252i	$-0.192767\pi$
$653$	−4.53782	−	13.9660i	−0.177579	−	0.546531i	−0.999742	+	0.0227209i	$0.992767\pi$
$654$	−13.2203	−	18.1962i	−0.516955	−	0.711528i
$655$	5.29802	−	33.4504i	0.207011	−	1.30701i
$656$	−3.25097	−	1.65645i	−0.126929	−	0.0646735i
$657$	9.54957	−	4.86575i	0.372564	−	0.189831i
$658$	88.0601	−	13.9473i	3.43294	−	0.543724i
$659$			6.31230i			0.245892i	0.992413	+	0.122946i	$0.0392343\pi$
$659$			6.31230i			0.245892i	−0.992413	+	0.122946i	$0.960766\pi$
$660$	9.94861	−	40.0407i	0.387249	−	1.55858i
$661$	18.5088	−	18.5088i	0.719908	−	0.719908i	−0.248678	−	0.968586i	$-0.579996\pi$
$661$	18.5088	−	18.5088i	0.719908	−	0.719908i	0.968586	+	0.248678i	$0.0799961\pi$
$662$	34.4562	+	25.0339i	1.33918	+	0.972971i
$663$	−10.7829	+	11.0161i	−0.418772	+	0.427830i
$664$	−5.00784	−	15.4126i	−0.194342	−	0.598123i
$665$	−48.7326	−	7.71849i	−1.88977	−	0.299310i
$666$	−0.0602233	−	0.0828902i	−0.00233360	−	0.00321193i
$667$	3.76262	+	11.5801i	0.145689	+	0.448385i
$668$	41.9036	+	82.2405i	1.62130	+	3.18198i
$669$	3.25954	+	20.5799i	0.126021	+	0.795666i
$670$	−83.7055	−	83.7055i	−3.23383	−	3.23383i
$671$	4.08221	+	6.78142i	0.157592	+	0.261794i
$672$	−13.9043			−0.536369
$673$	−4.94027	−	3.58932i	−0.190433	−	0.138358i	0.488483	−	0.872573i	$-0.337550\pi$
$673$	−4.94027	−	3.58932i	−0.190433	−	0.138358i	−0.678917	+	0.734215i	$0.737550\pi$
$674$	−0.278844	−	0.547262i	−0.0107407	−	0.0210797i
$675$	6.25970	−	2.03390i	0.240936	−	0.0782849i
$676$	−13.7139	+	45.4971i	−0.527459	+	1.74989i
$677$	24.0354	+	33.0819i	0.923755	+	1.27144i	0.962246	+	0.272180i	$0.0877447\pi$
$677$	24.0354	+	33.0819i	0.923755	+	1.27144i	−0.0384915	+	0.999259i	$0.512255\pi$
$678$	−14.0278	−	7.14751i	−0.538733	−	0.274498i
$679$	3.34756	+	1.08769i	0.128467	+	0.0417416i
$680$	−33.6658	+	46.3370i	−1.29102	+	1.77694i
$681$	12.1283	−	12.1283i	0.464759	−	0.464759i
$682$	0.367004	+	1.58378i	0.0140533	+	0.0606461i
$683$	19.9243	−	19.9243i	0.762383	−	0.762383i	−0.214369	−	0.976753i	$-0.568770\pi$
$683$	19.9243	−	19.9243i	0.762383	−	0.762383i	0.976753	+	0.214369i	$0.0687696\pi$
$684$	−1.78649	−	11.2795i	−0.0683083	−	0.431282i
$685$	−3.59294	+	11.0579i	−0.137279	+	0.422502i
$686$	−79.0764	+	25.6935i	−3.01915	+	0.980982i
$687$	1.99556	−	12.5995i	0.0761353	−	0.480700i
$688$	−14.6778	+	10.6640i	−0.559585	+	0.406562i
$689$	−2.97770	+	20.1966i	−0.113441	+	0.769427i
$690$	−13.5512	−	4.40304i	−0.515885	−	0.167621i
$691$	2.54348	+	16.0589i	0.0967586	+	0.610910i	0.987648	+	0.156689i	$0.0500821\pi$
$691$	2.54348	+	16.0589i	0.0967586	+	0.610910i	−0.890889	+	0.454220i	$0.849918\pi$
$692$		−	57.1065i		−	2.17086i
$693$	−14.2654	+	5.77714i	−0.541899	+	0.219455i
$694$	−51.2952	−	51.2952i	−1.94714	−	1.94714i
$695$	31.9726	−	5.06396i	1.21279	−	0.192087i
$696$	12.3597	+	24.2573i	0.468493	+	0.919469i
$697$	−6.77785	−	3.45349i	−0.256729	−	0.130810i
$698$	−2.55216	+	1.85425i	−0.0966006	+	0.0701844i
$699$	10.1476	−	7.37270i	0.383819	−	0.278861i
$700$	−50.6855	+	99.4760i	−1.91573	+	3.75984i
$701$	−10.4630	+	32.2017i	−0.395180	+	1.21624i	0.533641	+	0.845711i	$0.320823\pi$
$701$	−10.4630	+	32.2017i	−0.395180	+	1.21624i	−0.928821	+	0.370529i	$0.879177\pi$
$702$	−8.18254	−	2.56222i	−0.308830	−	0.0967048i
$703$		−	0.134605i		−	0.00507674i
$704$	24.4054	−	28.1215i	0.919813	−	1.05987i
$705$	−27.4950			−1.03552
$706$	−25.3861	−	18.4441i	−0.955418	−	0.694152i
$707$	−48.2090	+	24.5637i	−1.81309	+	0.923814i
$708$	17.5599	−	34.4632i	0.659941	−	1.29521i
$709$	4.92278	−	31.0812i	0.184879	−	1.16728i	−0.704363	−	0.709840i	$-0.748767\pi$
$709$	4.92278	−	31.0812i	0.184879	−	1.16728i	0.889241	−	0.457438i	$-0.151233\pi$
$710$	−13.1960	−	2.09004i	−0.495237	−	0.0784378i
$711$	−7.87683	+	2.55934i	−0.295404	+	0.0959826i
$712$	3.73020	−	11.4804i	0.139795	−	0.430246i
$713$	0.358428	−	0.0567695i	0.0134233	−	0.00212603i
$714$	47.1811			1.76571
$715$	−9.61063	−	39.5454i	−0.359417	−	1.47891i
$716$	37.1438			1.38813
$717$	9.94885	−	1.57574i	0.371547	−	0.0588472i
$718$	−25.4101	+	78.2043i	−0.948297	+	2.91856i
$719$	1.20240	−	0.390683i	0.0448419	−	0.0145700i	−0.286510	−	0.958077i	$-0.592495\pi$
$719$	1.20240	−	0.390683i	0.0448419	−	0.0145700i	0.331352	+	0.943507i	$0.392495\pi$
$720$	−6.89292	−	1.09173i	−0.256884	−	0.0406864i
$721$	6.49523	−	41.0093i	0.241895	−	1.52727i
$722$	−9.97481	+	19.5767i	−0.371224	+	0.728568i
$723$	−9.43900	+	4.80941i	−0.351040	+	0.178864i
$724$	41.3051	+	30.0099i	1.53509	+	1.11531i
$725$	−45.5199			−1.69057
$726$	8.47621	−	24.7477i	0.314582	−	0.918471i
$727$		−	20.7588i		−	0.769901i	−0.922937	−	0.384950i	$-0.874219\pi$
$727$		−	20.7588i		−	0.769901i	0.922937	−	0.384950i	$-0.125781\pi$
$728$	58.3616	−	30.5275i	2.16302	−	1.13142i
$729$	0.309017	−	0.951057i	0.0114451	−	0.0352243i
$730$	39.3792	−	77.2860i	1.45749	−	2.86048i
$731$	−30.6013	+	22.2331i	−1.13183	+	0.822322i
$732$	7.05753	−	5.12760i	0.260854	−	0.189521i
$733$	−4.41382	−	2.24896i	−0.163028	−	0.0830671i	0.370572	−	0.928804i	$-0.379162\pi$
$733$	−4.41382	−	2.24896i	−0.163028	−	0.0830671i	−0.533601	+	0.845736i	$0.679162\pi$
$734$	−0.911245	−	1.78842i	−0.0336347	−	0.0660117i
$735$	48.8545	−	7.73780i	1.80203	−	0.285413i
$736$	−3.73011	−	3.73011i	−0.137494	−	0.137494i
$737$	−31.2131	−	37.1369i	−1.14975	−	1.36795i
$738$		−	4.23122i		−	0.155753i
$739$	5.81307	+	36.7023i	0.213837	+	1.35011i	0.827908	+	0.560864i	$0.189531\pi$
$739$	5.81307	+	36.7023i	0.213837	+	1.35011i	−0.614071	+	0.789251i	$0.710469\pi$
$740$	−0.509726	−	0.165620i	−0.0187379	−	0.00608831i
$741$	−6.71829	−	9.04191i	−0.246803	−	0.332163i
$742$	50.5507	−	36.7272i	1.85577	−	1.34830i
$743$	5.76476	−	36.3973i	0.211489	−	1.33529i	−0.622116	−	0.782925i	$-0.713727\pi$
$743$	5.76476	−	36.3973i	0.211489	−	1.33529i	0.833605	−	0.552362i	$-0.186273\pi$
$744$	0.771689	−	0.250737i	0.0282915	−	0.00919246i
$745$	−15.8262	+	48.7080i	−0.579827	+	1.78452i
$746$	−2.16427	−	13.6647i	−0.0792397	−	0.500300i
$747$	2.91103	−	2.91103i	0.106509	−	0.106509i
$748$	−33.9727	+	39.1455i	−1.24216	+	1.43130i
$749$	38.9756	−	38.9756i	1.42414	−	1.42414i
$750$	7.52485	−	10.3571i	0.274769	−	0.378187i
$751$	−6.18595	−	2.00994i	−0.225728	−	0.0733436i	0.193969	−	0.981008i	$-0.437864\pi$
$751$	−6.18595	−	2.00994i	−0.225728	−	0.0733436i	−0.419698	+	0.907664i	$0.637864\pi$
$752$	14.7618	+	7.52153i	0.538309	+	0.274282i
$753$	12.0894	+	16.6397i	0.440563	+	0.606383i
$754$	48.3447	+	34.3404i	1.76061	+	1.25060i
$755$	41.1752	−	13.3786i	1.49852	−	0.486898i
$756$	7.70082	+	15.1137i	0.280076	+	0.549680i
$757$	−9.19583	−	6.68116i	−0.334228	−	0.242831i	0.407994	−	0.912984i	$-0.366228\pi$
$757$	−9.19583	−	6.68116i	−0.334228	−	0.242831i	−0.742223	+	0.670153i	$0.766228\pi$
$758$	−11.7542			−0.426932
$759$	−5.37683	−	2.27716i	−0.195167	−	0.0826557i
$760$	−29.5955	−	29.5955i	−1.07354	−	1.07354i
$761$	1.62731	+	10.2744i	0.0589900	+	0.372448i	0.999469	+	0.0325954i	$0.0103773\pi$
$761$	1.62731	+	10.2744i	0.0589900	+	0.372448i	−0.940479	+	0.339853i	$0.889623\pi$
$762$	−16.7552	−	32.8839i	−0.606976	−	1.19126i
$763$	13.5626	+	41.7414i	0.491000	+	1.51114i
$764$	12.4472	+	17.1321i	0.450324	+	0.619818i
$765$	−14.3709	−	2.27612i	−0.519580	−	0.0822933i
$766$	7.55769	+	23.2602i	0.273070	+	0.840424i
$767$	−0.408153	−	38.1503i	−0.0147375	−	1.37753i
$768$	−21.6707	−	15.7447i	−0.781972	−	0.568136i
$769$	−12.5044	+	12.5044i	−0.450922	+	0.450922i	−0.895660	−	0.444739i	$-0.853297\pi$
$769$	−12.5044	+	12.5044i	−0.450922	+	0.450922i	0.444739	+	0.895660i	$0.353297\pi$
$770$	−65.9207	+	105.687i	−2.37562	+	3.80869i
$771$			2.09723i			0.0755300i
$772$	65.7431	−	10.4127i	2.36615	−	0.374761i
$773$	19.1450	−	9.75485i	0.688596	−	0.350857i	−0.0744286	−	0.997226i	$-0.523713\pi$
$773$	19.1450	−	9.75485i	0.688596	−	0.350857i	0.763025	+	0.646369i	$0.223713\pi$
$774$	−18.7464	−	9.55175i	−0.673824	−	0.343331i
$775$	−0.212231	+	1.33997i	−0.00762356	+	0.0481332i
$776$	1.75502	+	2.41558i	0.0630015	+	0.0867141i
$777$	0.0617825	+	0.190147i	0.00221644	+	0.00682149i
$778$	−28.6692	+	14.6077i	−1.02784	+	0.523711i
$779$	3.26739	−	4.49717i	0.117066	−	0.161128i
$780$	−42.5063	+	14.3157i	−1.52197	+	0.512583i
$781$	−5.31366	−	1.32025i	−0.190138	−	0.0472421i
$782$	12.6573	+	12.6573i	0.452624	+	0.452624i
$783$	−4.06511	+	5.59515i	−0.145275	+	0.199954i
$784$	−28.3463	−	9.21028i	−1.01237	−	0.328939i
$785$	−8.24595	+	16.1836i	−0.294311	+	0.577617i
$786$	−23.3744	−	3.70214i	−0.833737	−	0.132051i
$787$	−8.28825	−	1.31273i	−0.295444	−	0.0467937i	0.00695289	−	0.999976i	$-0.497787\pi$
$787$	−8.28825	−	1.31273i	−0.295444	−	0.0467937i	−0.302397	+	0.953182i	$0.597787\pi$
$788$	26.7837	−	52.5660i	0.954130	−	1.87259i
$789$	−8.98001	−	2.91778i	−0.319697	−	0.103876i
$790$	−39.3986	+	54.2275i	−1.40174	+	1.92933i
$791$	21.7235	+	21.7235i	0.772400	+	0.772400i
$792$	−12.6706	−	3.14816i	−0.450229	−	0.111865i
$793$	3.82427	−	7.70832i	0.135804	−	0.273731i
$794$	5.81775	−	8.00744i	0.206464	−	0.284173i
$795$	−17.1690	+	8.74804i	−0.608921	+	0.310261i
$796$	18.6455	+	57.3851i	0.660874	+	2.03396i
$797$	−18.0823	−	24.8882i	−0.640509	−	0.881585i	0.358134	−	0.933670i	$-0.383413\pi$
$797$	−18.0823	−	24.8882i	−0.640509	−	0.881585i	−0.998643	+	0.0520856i	$0.983413\pi$
$798$	−5.39351	+	34.0533i	−0.190928	+	1.20547i
$799$	30.7765	+	15.6814i	1.08880	+	0.554769i
$800$	17.5716	−	8.95316i	0.621249	−	0.316542i
$801$	3.02875	−	0.479706i	0.107015	−	0.0169496i
$802$		−	1.02497i		−	0.0361930i
$803$	18.8123	−	30.1607i	0.663872	−	1.06435i
$804$	−37.8060	+	37.8060i	−1.33332	+	1.33332i
$805$	22.4940	+	16.3428i	0.792809	+	0.576009i
$806$	1.23628	−	1.26302i	0.0435462	−	0.0444880i
$807$	2.58072	+	7.94265i	0.0908458	+	0.279595i
$808$	−45.3324	−	7.17994i	−1.59479	−	0.252590i
$809$	−5.72359	−	7.87785i	−0.201231	−	0.276970i	0.696461	−	0.717595i	$-0.254757\pi$
$809$	−5.72359	−	7.87785i	−0.201231	−	0.276970i	−0.897692	+	0.440625i	$0.854757\pi$
$810$	−2.50092	−	7.69703i	−0.0878733	−	0.270446i
$811$	−2.12617	−	4.17284i	−0.0746599	−	0.146528i	0.850659	−	0.525717i	$-0.176203\pi$
$811$	−2.12617	−	4.17284i	−0.0746599	−	0.146528i	−0.925319	+	0.379189i	$0.876203\pi$
$812$	−18.3517	−	115.868i	−0.644018	−	4.06617i
$813$	14.2345	+	14.2345i	0.499226	+	0.499226i
$814$	−0.312909	−	0.132521i	−0.0109675	−	0.00464486i
$815$	62.3789			2.18504
$816$	7.09294	+	5.15332i	0.248303	+	0.180402i
$817$	−12.5487	−	24.6283i	−0.439024	−	0.861634i
$818$	0.951343	−	0.309110i	0.0332629	−	0.0108078i
$819$	13.6406	+	9.68922i	0.476641	+	0.338569i
$820$	−13.0097	−	17.9064i	−0.454320	−	0.625318i
$821$	−41.9743	−	21.3869i	−1.46491	−	0.746410i	−0.473949	−	0.880552i	$-0.657172\pi$
$821$	−41.9743	−	21.3869i	−1.46491	−	0.746410i	−0.990962	+	0.134142i	$0.957172\pi$
$822$	7.72704	+	2.51067i	0.269511	+	0.0875696i
$823$	5.89753	−	8.11726i	0.205575	−	0.282950i	−0.693763	−	0.720203i	$-0.744049\pi$
$823$	5.89753	−	8.11726i	0.205575	−	0.282950i	0.899338	+	0.437253i	$0.144049\pi$
$824$	24.9051	−	24.9051i	0.867610	−	0.867610i
$825$	14.3080	−	16.4866i	0.498141	−	0.573989i
$826$	−82.5715	+	82.5715i	−2.87303	+	2.87303i
$827$	0.721499	+	4.55536i	0.0250890	+	0.158405i	0.997052	−	0.0767279i	$-0.0244473\pi$
$827$	0.721499	+	4.55536i	0.0250890	+	0.158405i	−0.971963	+	0.235133i	$0.924447\pi$
$828$	−1.98866	+	6.12046i	−0.0691107	+	0.212701i
$829$	19.7462	−	6.41593i	0.685814	−	0.222834i	0.0546749	−	0.998504i	$-0.482588\pi$
$829$	19.7462	−	6.41593i	0.685814	−	0.222834i	0.631139	+	0.775670i	$0.282588\pi$
$830$	5.21207	−	32.9077i	0.180914	−	1.14224i
$831$	−8.18895	+	5.94962i	−0.284071	+	0.206390i
$832$	−40.0457	−	5.90418i	−1.38834	−	0.204691i
$833$	−59.0985	−	19.2023i	−2.04764	−	0.665319i
$834$	−3.53859	−	22.3418i	−0.122531	−	0.773632i
$835$			85.9349i			2.97390i
$836$	−24.3699	−	28.9949i	−0.842852	−	1.00281i
$837$	0.145752	+	0.145752i	0.00503792	+	0.00503792i
$838$	46.4453	−	7.35621i	1.60443	−	0.254116i
$839$	−3.91732	−	7.68817i	−0.135241	−	0.265425i	0.813447	−	0.581639i	$-0.197588\pi$
$839$	−3.91732	−	7.68817i	−0.135241	−	0.265425i	−0.948688	+	0.316214i	$0.897588\pi$
$840$	55.3915	+	28.2234i	1.91119	+	0.973798i
$841$	15.2344	−	11.0685i	0.525325	−	0.381671i
$842$	−28.7361	+	20.8780i	−0.990311	+	0.719503i
$843$	3.50575	−	6.88042i	0.120744	−	0.236974i
$844$	29.3896	−	90.4518i	1.01163	−	3.11348i
$845$	−30.6072	+	31.9458i	−1.05292	+	1.09897i
$846$			19.2129i			0.660553i
$847$	−30.6536	+	40.8169i	−1.05327	+	1.40248i
$848$	11.6110			0.398724
$849$	−24.3828	−	17.7152i	−0.836817	−	0.607983i
$850$	−59.6253	+	30.3806i	−2.04513	+	1.04205i
$851$	−0.0344364	+	0.0675853i	−0.00118047	+	0.00231679i
$852$	−0.943978	+	5.96004i	−0.0323402	+	0.204188i
$853$	−32.3295	−	5.12049i	−1.10694	−	0.175322i	−0.423905	−	0.905707i	$-0.639341\pi$
$853$	−32.3295	−	5.12049i	−1.10694	−	0.175322i	−0.683036	+	0.730385i	$0.739341\pi$
$854$	−25.0479	+	8.13856i	−0.857122	+	0.278496i
$855$	3.28561	−	10.1121i	0.112365	−	0.345825i
$856$	46.1816	−	7.31445i	1.57846	−	0.250003i
$857$	−16.9465			−0.578880			−0.289440	−	0.957196i	$-0.593469\pi$
$857$	−16.9465			−0.578880			−0.289440	+	0.957196i	$0.593469\pi$
$858$	−27.6335	+	6.71570i	−0.943391	+	0.229270i
$859$	−17.0258			−0.580913			−0.290457	−	0.956888i	$-0.593807\pi$
$859$	−17.0258			−0.580913			−0.290457	+	0.956888i	$0.593807\pi$
$860$	−108.703	+	17.2168i	−3.70674	+	0.587089i
$861$	−2.55144	+	7.85253i	−0.0869529	+	0.267613i
$862$	−70.3083	+	22.8446i	−2.39471	+	0.778089i
$863$	23.2469	+	3.68195i	0.791335	+	0.125335i	0.539001	−	0.842305i	$-0.318802\pi$
$863$	23.2469	+	3.68195i	0.791335	+	0.125335i	0.252334	+	0.967640i	$0.418802\pi$
$864$	0.468722	−	2.95939i	0.0159462	−	0.100681i
$865$	24.1378	−	47.3731i	0.820709	−	1.61073i
$866$	43.5623	−	22.1961i	1.48031	−	0.754255i
$867$	1.03458	+	0.751669i	0.0351363	+	0.0255280i
$868$	−3.49638			−0.118675
$869$	−18.0043	+	20.7457i	−0.610755	+	0.703750i
$870$			55.9720i			1.89763i
$871$	−15.7594	+	50.3283i	−0.533988	+	1.70531i
$872$	−11.5049	+	35.4086i	−0.389607	+	1.19909i
$873$	−0.344352	+	0.675829i	−0.0116545	+	0.0228733i
$874$	−10.5824	+	7.68857i	−0.357955	+	0.260070i
$875$	−20.2104	+	14.6837i	−0.683236	+	0.496400i
$876$	−34.9066	−	17.7858i	−1.17939	−	0.600927i
$877$	−11.3198	−	22.2163i	−0.382241	−	0.750191i	0.617085	−	0.786897i	$-0.288314\pi$
$877$	−11.3198	−	22.2163i	−0.382241	−	0.750191i	−0.999326	+	0.0367059i	$0.988314\pi$
$878$	−20.5651	+	3.25720i	−0.694040	+	0.109925i
$879$	−9.54571	−	9.54571i	−0.321969	−	0.321969i
$880$	−21.4537	+	8.68821i	−0.723205	+	0.292879i
$881$		−	23.8676i		−	0.804118i	−0.915614	−	0.402059i	$-0.868295\pi$
$881$		−	23.8676i		−	0.804118i	0.915614	−	0.402059i	$-0.131705\pi$
$882$	−5.40700	−	34.1385i	−0.182063	−	1.14950i
$883$	1.64528	+	0.534585i	0.0553682	+	0.0179902i	0.336570	−	0.941658i	$-0.390733\pi$
$883$	1.64528	+	0.534585i	0.0553682	+	0.0179902i	−0.281202	+	0.959649i	$0.590733\pi$
$884$	55.7443	+	8.21871i	1.87488	+	0.276425i
$885$	29.1338	−	21.1670i	0.979323	−	0.711520i
$886$	6.72225	−	42.4426i	0.225838	−	1.42589i
$887$	7.12546	−	2.31520i	0.239250	−	0.0777369i	−0.186938	−	0.982372i	$-0.559856\pi$
$887$	7.12546	−	2.31520i	0.239250	−	0.0777369i	0.426188	+	0.904635i	$0.359856\pi$
$888$	−0.0524091	+	0.161299i	−0.00175874	+	0.00541283i
$889$	11.2661	+	71.1312i	0.377852	+	2.38566i
$890$	17.5487	−	17.5487i	0.588234	−	0.588234i
$891$	−0.748711	−	3.23101i	−0.0250828	−	0.108243i
$892$	53.8558	−	53.8558i	1.80323	−	1.80323i
$893$	−14.8364	+	20.4206i	−0.496481	+	0.683348i
$894$	34.0361	+	11.0590i	1.13834	+	0.369868i
$895$	30.8129	+	15.6999i	1.02996	+	0.524791i
$896$	56.4773	+	77.7343i	1.88677	+	2.59692i
$897$	1.06004	+	6.25870i	0.0353936	+	0.208972i
$898$	69.1553	−	22.4699i	2.30774	−	0.749831i
$899$	−0.647186	−	1.27017i	−0.0215849	−	0.0423627i
$900$	−19.4639	−	14.1413i	−0.648795	−	0.471377i
$901$	24.2075			0.806467
$902$	−7.23751	−	12.0230i	−0.240983	−	0.400323i
$903$	29.0308	+	29.0308i	0.966085	+	0.966085i
$904$	4.07680	+	25.7399i	0.135592	+	0.856096i
$905$	21.5803	+	42.3537i	0.717353	+	1.40789i
$906$	−9.34870	−	28.7723i	−0.310590	−	0.955897i
$907$	−24.5957	−	33.8531i	−0.816687	−	1.12407i	−0.990257	−	0.139252i	$-0.955530\pi$
$907$	−24.5957	−	33.8531i	−0.816687	−	1.12407i	0.173570	−	0.984822i	$-0.444470\pi$
$908$	−61.9241	−	9.80782i	−2.05502	−	0.325484i
$909$	−3.60300	−	11.0889i	−0.119504	−	0.367795i
$910$	135.403	−	1.44862i	4.48858	−	0.0480213i
$911$	40.5213	+	29.4405i	1.34253	+	0.975406i	0.999347	+	0.0361386i	$0.0115058\pi$
$911$	40.5213	+	29.4405i	1.34253	+	0.975406i	0.343185	+	0.939268i	$0.388494\pi$
$912$	−4.53027	+	4.53027i	−0.150012	+	0.150012i
$913$	3.29239	−	13.2510i	0.108962	−	0.438545i
$914$		−	8.33132i		−	0.275576i
$915$	8.02195	−	1.27055i	0.265197	−	0.0420032i
$916$	−41.5468	+	21.1691i	−1.37274	+	0.699448i
$917$	41.1471	+	20.9655i	1.35880	+	0.692341i
$918$	−1.59050	+	10.0420i	−0.0524944	+	0.331437i
$919$	−19.9477	−	27.4556i	−0.658013	−	0.905678i	0.341400	−	0.939918i	$-0.389099\pi$
$919$	−19.9477	−	27.4556i	−0.658013	−	0.905678i	−0.999414	+	0.0342404i	$0.989099\pi$
$920$	7.28840	+	22.4314i	0.240291	+	0.739541i
$921$	24.1799	−	12.3203i	0.796754	−	0.405966i
$922$	45.3439	−	62.4105i	1.49332	−	2.05538i
$923$	1.89978	+	5.64087i	0.0625321	+	0.185672i
$924$	47.7340	+	29.7735i	1.57033	+	0.979475i
$925$	−0.200516	−	0.200516i	−0.00659293	−	0.00659293i
$926$	55.6172	−	76.5504i	1.82769	−	2.51560i
$927$	8.50947	+	2.76489i	0.279488	+	0.0908110i
$928$	−9.40769	+	18.4636i	−0.308823	+	0.606098i
$929$	−36.8557	−	5.83738i	−1.20920	−	0.191518i	−0.480898	−	0.876777i	$-0.659689\pi$
$929$	−36.8557	−	5.83738i	−1.20920	−	0.191518i	−0.728300	+	0.685259i	$0.759689\pi$
$930$	1.64765	+	0.260962i	0.0540286	+	0.00855730i
$931$	20.6152	−	40.4596i	0.675636	−	1.32601i
$932$	−43.6052	−	14.1682i	−1.42833	−	0.464094i
$933$	−8.84281	+	12.1711i	−0.289501	+	0.398464i
$934$	−16.1371	−	16.1371i	−0.528022	−	0.528022i
$935$	−44.7282	+	18.1138i	−1.46277	+	0.592384i
$936$	4.53008	+	13.4508i	0.148070	+	0.439653i
$937$	−9.54970	+	13.1440i	−0.311975	+	0.429397i	−0.935996	−	0.352011i	$-0.885498\pi$
$937$	−9.54970	+	13.1440i	−0.311975	+	0.429397i	0.624021	+	0.781408i	$0.285498\pi$
$938$	143.823	−	73.2813i	4.69598	−	2.39272i
$939$	5.20902	+	16.0317i	0.169990	+	0.523175i
$940$	59.0740	+	81.3084i	1.92678	+	2.65199i
$941$	2.75960	−	17.4234i	0.0899603	−	0.567987i	−0.900999	−	0.433822i	$-0.857165\pi$
$941$	2.75960	−	17.4234i	0.0899603	−	0.567987i	0.990959	−	0.134165i	$-0.0428353\pi$
$942$	11.3087	+	5.76209i	0.368459	+	0.187739i
$943$	−2.79108	+	1.42212i	−0.0908900	+	0.0463107i
$944$	−21.4321	+	3.39452i	−0.697557	+	0.110482i
$945$			15.7926i			0.513735i
$946$	−69.6063	+	4.92435i	−2.26310	+	0.160104i
$947$	−10.1181	+	10.1181i	−0.328794	+	0.328794i	−0.852128	−	0.523334i	$-0.824688\pi$
$947$	−10.1181	+	10.1181i	−0.328794	+	0.328794i	0.523334	+	0.852128i	$0.324688\pi$
$948$	24.4921	+	17.7946i	0.795468	+	0.577941i
$949$	−38.6411	+	0.413404i	−1.25434	+	0.0134197i
$950$	−15.1113	−	46.5079i	−0.490276	−	1.50892i
$951$	5.74120	+	0.909316i	0.186171	+	0.0294866i
$952$	−45.9056	−	63.1837i	−1.48781	−	2.04779i
$953$	6.11803	+	18.8294i	0.198183	+	0.609943i	0.999925	+	0.0122730i	$0.00390673\pi$
$953$	6.11803	+	18.8294i	0.198183	+	0.609943i	−0.801742	+	0.597670i	$0.796093\pi$
$954$	6.11294	+	11.9973i	0.197914	+	0.388428i
$955$	3.08426	+	19.4732i	0.0998042	+	0.630139i
$956$	−26.0353	−	26.0353i	−0.842041	−	0.842041i
$957$	−1.98053	+	22.8521i	−0.0640215	+	0.738702i
$958$	85.9805			2.77790
$959$	−12.8263	−	9.31887i	−0.414184	−	0.300922i
$960$	−17.3456	−	34.0427i	−0.559827	−	1.09872i
$961$	29.4423	−	9.56640i	0.949753	−	0.308593i
$962$	0.0616896	+	0.364230i	0.00198895	+	0.0117432i
$963$	6.98169	+	9.60948i	0.224982	+	0.309661i
$964$	34.5024	+	17.5799i	1.11125	+	0.566210i
$965$	58.9388	+	19.1504i	1.89731	+	0.616473i
$966$	11.4200	−	15.7183i	0.367433	−	0.505728i
$967$	34.4041	−	34.4041i	1.10636	−	1.10636i	0.112736	−	0.993625i	$-0.464039\pi$
$967$	34.4041	−	34.4041i	1.10636	−	1.10636i	0.993625	−	0.112736i	$-0.0359614\pi$
$968$	−41.3884	+	12.7275i	−1.33028	+	0.409078i
$969$	−9.44504	+	9.44504i	−0.303418	+	0.303418i
$970$	0.960296	+	6.06307i	0.0308333	+	0.194673i
$971$	2.30760	−	7.10207i	0.0740545	−	0.227916i	−0.907177	−	0.420749i	$-0.861767\pi$
$971$	2.30760	−	7.10207i	0.0740545	−	0.227916i	0.981232	+	0.192833i	$0.0617674\pi$
$972$	−3.47641	+	1.12955i	−0.111506	+	0.0362304i
$973$	−6.90506	+	43.5968i	−0.221366	+	1.39765i
$974$	55.0918	−	40.0265i	1.76526	−	1.28253i
$975$	−23.4774	−	3.46141i	−0.751877	−	0.110854i
$976$	−4.65449	−	1.51234i	−0.148987	−	0.0484087i
$977$	−3.97658	−	25.1071i	−0.127222	−	0.803249i	−0.965956	−	0.258707i	$-0.916704\pi$
$977$	−3.97658	−	25.1071i	−0.127222	−	0.803249i	0.838734	−	0.544542i	$-0.183296\pi$
$978$		−	43.5890i		−	1.39382i
$979$	7.78567	−	6.54377i	0.248831	−	0.209140i
$980$	−127.848	−	127.848i	−4.08395	−	4.08395i
$981$	−9.34147	+	1.47954i	−0.298250	+	0.0472382i
$982$	−9.37160	−	18.3928i	−0.299060	−	0.586938i
$983$	−31.1868	−	15.8905i	−0.994704	−	0.506827i	−0.120670	−	0.992693i	$-0.538504\pi$
$983$	−31.1868	−	15.8905i	−0.994704	−	0.506827i	−0.874033	+	0.485866i	$0.838504\pi$
$984$	−5.66633	+	4.11683i	−0.180636	+	0.131240i
$985$	44.4371	−	32.2855i	1.41589	−	1.02870i
$986$	31.9229	−	62.6523i	1.01663	−	1.99525i
$987$	11.5855	−	35.6564i	0.368769	−	1.13496i
$988$	−12.3043	+	39.2943i	−0.391452	+	1.25012i
$989$			15.5762i			0.495295i
$990$	−20.2722	−	17.5934i	−0.644292	−	0.559154i
$991$	−13.5603			−0.430756			−0.215378	−	0.976531i	$-0.569098\pi$
$991$	−13.5603			−0.430756			−0.215378	+	0.976531i	$0.569098\pi$
$992$	0.499653	+	0.363019i	0.0158640	+	0.0115259i
$993$	15.9574	−	8.13071i	0.506393	−	0.258020i
$994$	8.27078	−	16.2323i	0.262333	−	0.514858i
$995$	−8.78800	+	55.4852i	−0.278598	+	1.75900i
$996$	−14.8630	−	2.35406i	−0.470951	−	0.0745913i
$997$	−11.1436	+	3.62078i	−0.352922	+	0.114671i	−0.480112	−	0.877207i	$-0.659404\pi$
$997$	−11.1436	+	3.62078i	−0.352922	+	0.114671i	0.127191	+	0.991878i	$0.459404\pi$
$998$	17.5269	−	53.9421i	0.554803	−	1.70751i
$999$	−0.0425537	+	0.00673984i	−0.00134634	+	0.000213239i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	429.2.bj.b.73.2	✓	112
11.8	odd	10	inner	429.2.bj.b.151.13	yes	112
13.5	odd	4	inner	429.2.bj.b.304.13	yes	112
143.96	even	20	inner	429.2.bj.b.382.2	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
429.2.bj.b.73.2	✓	112	1.1	even	1	trivial
429.2.bj.b.151.13	yes	112	11.8	odd	10	inner
429.2.bj.b.304.13	yes	112	13.5	odd	4	inner
429.2.bj.b.382.2	yes	112	143.96	even	20	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:	\( N \)	\(=\)	\( 429 = 3 \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	429.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.34881 + 0.372015i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(3.47641 - 1.12955i) q^{4} +(3.36131 + 0.532379i) q^{5} +(0.372015 - 2.34881i) q^{6} +(-2.10675 + 4.13473i) q^{7} +(-3.50742 + 1.78712i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})\)	\(q+(-2.34881 + 0.372015i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(3.47641 - 1.12955i) q^{4} +(3.36131 + 0.532379i) q^{5} +(0.372015 - 2.34881i) q^{6} +(-2.10675 + 4.13473i) q^{7} +(-3.50742 + 1.78712i) q^{8} +(-0.809017 - 0.587785i) q^{9} -8.09314 q^{10} +(-3.30424 - 0.286370i) q^{11} +3.65531i q^{12} +(1.67116 + 3.19487i) q^{13} +(3.41017 - 10.4954i) q^{14} +(-1.54503 + 3.03228i) q^{15} +(1.65902 - 1.20535i) q^{16} +(3.45885 - 2.51300i) q^{17} +(2.11889 + 1.07963i) q^{18} +(1.41838 + 2.78372i) q^{19} +(12.2866 - 1.94601i) q^{20} +(-3.28134 - 3.28134i) q^{21} +(7.86757 - 0.556597i) q^{22} -1.76057i q^{23} +(-0.615800 - 3.88801i) q^{24} +(6.25970 + 2.03390i) q^{25} +(-5.11378 - 6.88246i) q^{26} +(0.809017 - 0.587785i) q^{27} +(-2.65352 + 16.7537i) q^{28} +(-6.57749 + 2.13716i) q^{29} +(2.50092 - 7.69703i) q^{30} +(0.0322449 + 0.203586i) q^{31} +(2.11869 - 2.11869i) q^{32} +(1.29342 - 3.05402i) q^{33} +(-7.18931 + 7.18931i) q^{34} +(-9.28268 + 12.7765i) q^{35} +(-3.47641 - 1.12955i) q^{36} +(-0.0383882 - 0.0195598i) q^{37} +(-4.36709 - 6.01078i) q^{38} +(-3.55492 + 0.602097i) q^{39} +(-12.7410 + 4.13979i) q^{40} +(-0.807763 - 1.58532i) q^{41} +(8.92795 + 6.48654i) q^{42} -8.84725 q^{43} +(-11.8103 + 2.73677i) q^{44} +(-2.40643 - 2.40643i) q^{45} +(0.654959 + 4.13525i) q^{46} +(3.66785 + 7.19856i) q^{47} +(0.633690 + 1.95030i) q^{48} +(-8.54308 - 11.7585i) q^{49} +(-15.4595 - 2.44854i) q^{50} +(1.32116 + 4.06612i) q^{51} +(9.41841 + 9.21902i) q^{52} +(4.58071 + 3.32808i) q^{53} +(-1.68156 + 1.68156i) q^{54} +(-10.9541 - 2.72169i) q^{55} -18.2673i q^{56} +(-3.08578 + 0.488739i) q^{57} +(14.6542 - 7.46670i) q^{58} +(-9.42827 - 4.80394i) q^{59} +(-1.94601 + 12.2866i) q^{60} +(-1.40278 - 1.93076i) q^{61} +(-0.151474 - 0.466190i) q^{62} +(4.13473 - 2.10675i) q^{63} +(-6.59892 + 9.08263i) q^{64} +(3.91640 + 11.6287i) q^{65} +(-1.90186 + 7.65450i) q^{66} +(10.3428 + 10.3428i) q^{67} +(9.18580 - 12.6432i) q^{68} +(1.67440 + 0.544047i) q^{69} +(17.0502 - 33.4629i) q^{70} +(1.63052 + 0.258249i) q^{71} +(3.88801 + 0.615800i) q^{72} +(-4.86575 + 9.54957i) q^{73} +(0.0974433 + 0.0316612i) q^{74} +(-3.86871 + 5.32482i) q^{75} +(8.07521 + 8.07521i) q^{76} +(8.14526 - 13.0588i) q^{77} +(8.12585 - 2.73670i) q^{78} +(4.86815 - 6.70043i) q^{79} +(6.21819 - 3.16833i) q^{80} +(0.309017 + 0.951057i) q^{81} +(2.48705 + 3.42313i) q^{82} +(-0.644012 + 4.06613i) q^{83} +(-15.1137 - 7.70082i) q^{84} +(12.9641 - 6.60556i) q^{85} +(20.7805 - 3.29131i) q^{86} -6.91598i q^{87} +(12.1011 - 4.90065i) q^{88} +(-2.16834 + 2.16834i) q^{89} +(6.54749 + 4.75703i) q^{90} +(-16.7307 + 0.178994i) q^{91} +(-1.98866 - 6.12046i) q^{92} +(-0.203586 - 0.0322449i) q^{93} +(-11.2931 - 15.5436i) q^{94} +(3.28561 + 10.1121i) q^{95} +(1.36028 + 2.66971i) q^{96} +(-0.118656 - 0.749162i) q^{97} +(24.4404 + 24.4404i) q^{98} +(2.50486 + 2.17386i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9}+O(q^{10}) \) 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9	\( 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9} - 14 q^{11} + 10 q^{13} + 12 q^{14} + 4 q^{15} - 48 q^{16} - 2 q^{20} + 32 q^{22} + 30 q^{24} - 46 q^{26} + 28 q^{27} - 20 q^{29} - 24 q^{31} - 16 q^{33} - 16 q^{34} - 20 q^{35} + 12 q^{37} + 10 q^{39} - 40 q^{40} - 10 q^{41} + 28 q^{42} + 24 q^{44} - 4 q^{45} - 20 q^{46} - 62 q^{47} - 92 q^{48} - 90 q^{50} + 110 q^{52} + 68 q^{53} + 32 q^{55} - 30 q^{57} - 56 q^{58} + 16 q^{59} + 2 q^{60} + 20 q^{61} + 8 q^{66} + 12 q^{67} + 60 q^{68} - 196 q^{70} - 52 q^{71} + 30 q^{72} - 10 q^{73} - 120 q^{74} - 84 q^{78} + 40 q^{79} - 56 q^{80} - 28 q^{81} + 110 q^{83} - 30 q^{84} - 40 q^{85} + 18 q^{86} - 96 q^{89} - 44 q^{91} + 80 q^{92} + 24 q^{93} - 20 q^{94} + 100 q^{96} + 18 q^{97} + 6 q^{99}+O(q^{100}) \) 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9 - 14 * q^11 + 10 * q^13 + 12 * q^14 + 4 * q^15 - 48 * q^16 - 2 * q^20 + 32 * q^22 + 30 * q^24 - 46 * q^26 + 28 * q^27 - 20 * q^29 - 24 * q^31 - 16 * q^33 - 16 * q^34 - 20 * q^35 + 12 * q^37 + 10 * q^39 - 40 * q^40 - 10 * q^41 + 28 * q^42 + 24 * q^44 - 4 * q^45 - 20 * q^46 - 62 * q^47 - 92 * q^48 - 90 * q^50 + 110 * q^52 + 68 * q^53 + 32 * q^55 - 30 * q^57 - 56 * q^58 + 16 * q^59 + 2 * q^60 + 20 * q^61 + 8 * q^66 + 12 * q^67 + 60 * q^68 - 196 * q^70 - 52 * q^71 + 30 * q^72 - 10 * q^73 - 120 * q^74 - 84 * q^78 + 40 * q^79 - 56 * q^80 - 28 * q^81 + 110 * q^83 - 30 * q^84 - 40 * q^85 + 18 * q^86 - 96 * q^89 - 44 * q^91 + 80 * q^92 + 24 * q^93 - 20 * q^94 + 100 * q^96 + 18 * q^97 + 6 * q^99

Introduction

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