LMFDB - Embedded newform 380.2.be.b.51.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [380,2,Mod(51,380)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(380, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 0, 5]))

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

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

chi := DirichletCharacter("380.51");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 380 = 2^{2} \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	380.be (of order $18$, degree $6$, 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:	$3.03431527681$
Analytic rank:	$0$
Dimension:	$120$
Relative dimension:	$20$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			51.13
Character	$\chi$	$=$	380.51
Dual form			380.2.be.b.231.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.727006 + 1.21304i) q^{2} +(2.81895 + 1.02602i) q^{3} +(-0.942924 + 1.76377i) q^{4} +(-0.173648 - 0.984808i) q^{5} +(0.804801 + 4.16542i) q^{6} +(0.824757 + 0.476173i) q^{7} +(-2.82504 + 0.138470i) q^{8} +(4.59567 + 3.85622i) q^{9} +O(q^{10})$	\(q+(0.727006 + 1.21304i) q^{2} +(2.81895 + 1.02602i) q^{3} +(-0.942924 + 1.76377i) q^{4} +(-0.173648 - 0.984808i) q^{5} +(0.804801 + 4.16542i) q^{6} +(0.824757 + 0.476173i) q^{7} +(-2.82504 + 0.138470i) q^{8} +(4.59567 + 3.85622i) q^{9} +(1.06837 - 0.926603i) q^{10} +(-3.60735 + 2.08271i) q^{11} +(-4.46772 + 4.00454i) q^{12} +(-2.21216 - 6.07786i) q^{13} +(0.0219863 + 1.34664i) q^{14} +(0.520922 - 2.95429i) q^{15} +(-2.22179 - 3.32621i) q^{16} +(5.49957 - 4.61469i) q^{17} +(-1.33667 + 8.37821i) q^{18} +(-1.12610 + 4.21093i) q^{19} +(1.90071 + 0.622323i) q^{20} +(1.83639 + 2.18852i) q^{21} +(-5.14897 - 2.86172i) q^{22} +(2.84103 + 0.500950i) q^{23} +(-8.10572 - 2.50819i) q^{24} +(-0.939693 + 0.342020i) q^{25} +(5.76443 - 7.10208i) q^{26} +(4.49863 + 7.79185i) q^{27} +(-1.61754 + 1.00569i) q^{28} +(-0.111039 + 0.132332i) q^{29} +(3.96239 - 1.51589i) q^{30} +(2.18008 - 3.77601i) q^{31} +(2.41957 - 5.11329i) q^{32} +(-12.3058 + 2.16985i) q^{33} +(9.59602 + 3.31629i) q^{34} +(0.325722 - 0.894913i) q^{35} +(-11.1349 + 4.46958i) q^{36} +3.84952i q^{37} +(-5.92670 + 1.69536i) q^{38} -19.4029i q^{39} +(0.626928 + 2.75807i) q^{40} +(-0.422225 + 1.16006i) q^{41} +(-1.31970 + 3.81868i) q^{42} +(-12.5744 + 2.21721i) q^{43} +(-0.271958 - 8.32638i) q^{44} +(2.99961 - 5.19547i) q^{45} +(1.45777 + 3.81047i) q^{46} +(4.56576 - 5.44126i) q^{47} +(-2.85038 - 11.6560i) q^{48} +(-3.04652 - 5.27672i) q^{49} +(-1.09805 - 0.891233i) q^{50} +(20.2378 - 7.36595i) q^{51} +(12.8059 + 1.82922i) q^{52} +(-3.93418 - 0.693702i) q^{53} +(-6.18128 + 11.1217i) q^{54} +(2.67747 + 3.19089i) q^{55} +(-2.39590 - 1.23100i) q^{56} +(-7.49491 + 10.7150i) q^{57} +(-0.241250 - 0.0384892i) q^{58} +(-1.70839 + 1.43351i) q^{59} +(4.71951 + 3.70446i) q^{60} +(-0.168121 + 0.953461i) q^{61} +(6.16538 - 0.100661i) q^{62} +(1.95408 + 5.36878i) q^{63} +(7.96165 - 0.782363i) q^{64} +(-5.60139 + 3.23396i) q^{65} +(-11.5785 - 13.3500i) q^{66} +(5.09504 + 4.27524i) q^{67} +(2.95358 + 14.0513i) q^{68} +(7.49474 + 4.32709i) q^{69} +(1.32237 - 0.255494i) q^{70} +(1.76594 + 10.0151i) q^{71} +(-13.5169 - 10.2576i) q^{72} +(0.317628 + 0.115607i) q^{73} +(-4.66961 + 2.79862i) q^{74} -2.99987 q^{75} +(-6.36529 - 5.95677i) q^{76} -3.96692 q^{77} +(23.5365 - 14.1061i) q^{78} +(-9.56659 - 3.48195i) q^{79} +(-2.88987 + 2.76562i) q^{80} +(1.56161 + 8.85631i) q^{81} +(-1.71415 + 0.331191i) q^{82} +(6.45533 + 3.72698i) q^{83} +(-5.59164 + 1.17536i) q^{84} +(-5.49957 - 4.61469i) q^{85} +(-11.8313 - 13.6414i) q^{86} +(-0.448790 + 0.259109i) q^{87} +(9.90250 - 6.38322i) q^{88} +(0.223306 + 0.613529i) q^{89} +(8.48304 - 0.138501i) q^{90} +(1.06962 - 6.06613i) q^{91} +(-3.56244 + 4.53857i) q^{92} +(10.0198 - 8.40762i) q^{93} +(9.91980 + 1.58261i) q^{94} +(4.34250 + 0.377775i) q^{95} +(12.0670 - 11.9316i) q^{96} +(10.0901 + 12.0249i) q^{97} +(4.18603 - 7.53175i) q^{98} +(-24.6095 - 4.33933i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 120 q + 3 q^{2} - 3 q^{4} + 3 q^{6} - 36 q^{8} + 6 q^{9}+O(q^{10}) $ 120 * q + 3 * q^2 - 3 * q^4 + 3 * q^6 - 36 * q^8 + 6 * q^9	$ 120 q + 3 q^{2} - 3 q^{4} + 3 q^{6} - 36 q^{8} + 6 q^{9} + 3 q^{10} - 12 q^{13} - 18 q^{14} + 9 q^{16} + 48 q^{17} - 12 q^{21} - 18 q^{24} - 24 q^{26} + 69 q^{28} - 12 q^{30} - 27 q^{32} + 6 q^{33} - 18 q^{34} - 72 q^{36} - 48 q^{38} - 36 q^{41} - 27 q^{42} - 99 q^{44} + 60 q^{45} + 27 q^{46} - 63 q^{48} + 60 q^{49} + 33 q^{52} - 24 q^{53} + 21 q^{54} - 48 q^{57} + 6 q^{60} - 24 q^{61} + 54 q^{62} + 84 q^{64} - 18 q^{65} - 132 q^{66} + 66 q^{68} - 72 q^{69} + 36 q^{70} - 42 q^{72} + 66 q^{74} + 180 q^{76} + 60 q^{77} + 114 q^{78} + 27 q^{80} - 66 q^{81} + 33 q^{82} - 144 q^{84} - 48 q^{85} + 75 q^{86} + 9 q^{88} - 3 q^{90} - 42 q^{92} - 144 q^{93} + 78 q^{96} + 42 q^{97} - 87 q^{98}+O(q^{100}) $ 120 * q + 3 * q^2 - 3 * q^4 + 3 * q^6 - 36 * q^8 + 6 * q^9 + 3 * q^10 - 12 * q^13 - 18 * q^14 + 9 * q^16 + 48 * q^17 - 12 * q^21 - 18 * q^24 - 24 * q^26 + 69 * q^28 - 12 * q^30 - 27 * q^32 + 6 * q^33 - 18 * q^34 - 72 * q^36 - 48 * q^38 - 36 * q^41 - 27 * q^42 - 99 * q^44 + 60 * q^45 + 27 * q^46 - 63 * q^48 + 60 * q^49 + 33 * q^52 - 24 * q^53 + 21 * q^54 - 48 * q^57 + 6 * q^60 - 24 * q^61 + 54 * q^62 + 84 * q^64 - 18 * q^65 - 132 * q^66 + 66 * q^68 - 72 * q^69 + 36 * q^70 - 42 * q^72 + 66 * q^74 + 180 * q^76 + 60 * q^77 + 114 * q^78 + 27 * q^80 - 66 * q^81 + 33 * q^82 - 144 * q^84 - 48 * q^85 + 75 * q^86 + 9 * q^88 - 3 * q^90 - 42 * q^92 - 144 * q^93 + 78 * q^96 + 42 * q^97 - 87 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/380\mathbb{Z}\right)^\times$.

$n$	$21$	$77$	$191$
$\chi(n)$	$e\left(\frac{5}{18}\right)$	$1$	$-1$

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 $

$2$	0.727006	+	1.21304i	0.514071	+	0.857748i
$2$	0.727006	+	1.21304i	0.514071	+	0.857748i
$3$	2.81895	+	1.02602i	1.62752	+	0.592370i	0.984795	−	0.173723i	$-0.0555796\pi$
$3$	2.81895	+	1.02602i	1.62752	+	0.592370i	0.642730	+	0.766093i	$0.277802\pi$
$4$	−0.942924	+	1.76377i	−0.471462	+	0.881886i
$5$	−0.173648	−	0.984808i	−0.0776578	−	0.440419i
$5$	−0.173648	−	0.984808i	−0.0776578	−	0.440419i
$6$	0.804801	+	4.16542i	0.328559	+	1.70053i
$7$	0.824757	+	0.476173i	0.311729	+	0.179977i	0.647700	−	0.761896i	$-0.275731\pi$
$7$	0.824757	+	0.476173i	0.311729	+	0.179977i	−0.335971	+	0.941872i	$0.609064\pi$
$8$	−2.82504	+	0.138470i	−0.998801	+	0.0489564i
$9$	4.59567	+	3.85622i	1.53189	+	1.28541i
$10$	1.06837	−	0.926603i	0.337847	−	0.293018i
$11$	−3.60735	+	2.08271i	−1.08766	+	0.627959i	−0.932952	−	0.360001i	$-0.882776\pi$
$11$	−3.60735	+	2.08271i	−1.08766	+	0.627959i	−0.154705	+	0.987961i	$0.549443\pi$
$12$	−4.46772	+	4.00454i	−1.28972	+	1.15601i
$13$	−2.21216	−	6.07786i	−0.613543	−	1.68570i	−0.722258	−	0.691623i	$-0.756896\pi$
$13$	−2.21216	−	6.07786i	−0.613543	−	1.68570i	0.108715	−	0.994073i	$-0.465326\pi$
$14$	0.0219863	+	1.34664i	0.00587610	+	0.359905i
$15$	0.520922	−	2.95429i	0.134501	−	0.762796i
$16$	−2.22179	−	3.32621i	−0.555447	−	0.831552i
$17$	5.49957	−	4.61469i	1.33384	−	1.11923i	0.350679	−	0.936496i	$-0.385951\pi$
$17$	5.49957	−	4.61469i	1.33384	−	1.11923i	0.983163	−	0.182731i	$-0.0584937\pi$
$18$	−1.33667	+	8.37821i	−0.315056	+	1.97476i
$19$	−1.12610	+	4.21093i	−0.258346	+	0.966053i
$19$	−1.12610	+	4.21093i	−0.258346	+	0.966053i
$20$	1.90071	+	0.622323i	0.425013	+	0.139156i
$21$	1.83639	+	2.18852i	0.400733	+	0.477575i
$22$	−5.14897	−	2.86172i	−1.09776	−	0.610120i
$23$	2.84103	+	0.500950i	0.592395	+	0.104455i	0.461805	−	0.886981i	$-0.347202\pi$
$23$	2.84103	+	0.500950i	0.592395	+	0.104455i	0.130590	+	0.991437i	$0.458313\pi$
$24$	−8.10572	−	2.50819i	−1.65457	−	0.511982i
$25$	−0.939693	+	0.342020i	−0.187939	+	0.0684040i
$26$	5.76443	−	7.10208i	1.13050	−	1.39283i
$27$	4.49863	+	7.79185i	0.865761	+	1.49954i
$28$	−1.61754	+	1.00569i	−0.305687	+	0.190057i
$29$	−0.111039	+	0.132332i	−0.0206195	+	0.0245734i	−0.776256	−	0.630418i	$-0.782883\pi$
$29$	−0.111039	+	0.132332i	−0.0206195	+	0.0245734i	0.755636	+	0.654992i	$0.227328\pi$
$30$	3.96239	−	1.51589i	0.723429	−	0.276763i
$31$	2.18008	−	3.77601i	0.391554	−	0.678192i	−0.601100	−	0.799174i	$-0.705271\pi$
$31$	2.18008	−	3.77601i	0.391554	−	0.678192i	0.992655	+	0.120981i	$0.0386041\pi$
$32$	2.41957	−	5.11329i	0.427723	−	0.903910i
$33$	−12.3058	+	2.16985i	−2.14217	+	0.377723i
$34$	9.59602	+	3.31629i	1.64570	+	0.568738i
$35$	0.325722	−	0.894913i	0.0550570	−	0.151268i
$36$	−11.1349	+	4.46958i	−1.85581	+	0.744930i
$37$			3.84952i			0.632857i	0.948616	+	0.316428i	$0.102484\pi$
$37$			3.84952i			0.632857i	−0.948616	+	0.316428i	$0.897516\pi$
$38$	−5.92670	+	1.69536i	−0.961437	+	0.275024i
$39$		−	19.4029i		−	3.10696i
$40$	0.626928	+	2.75807i	0.0991261	+	0.436089i
$41$	−0.422225	+	1.16006i	−0.0659405	+	0.181170i	−0.968287	−	0.249842i	$-0.919621\pi$
$41$	−0.422225	+	1.16006i	−0.0659405	+	0.181170i	0.902346	+	0.431012i	$0.141843\pi$
$42$	−1.31970	+	3.81868i	−0.203634	+	0.589236i
$43$	−12.5744	+	2.21721i	−1.91759	+	0.338122i	−0.998442	−	0.0558016i	$-0.982229\pi$
$43$	−12.5744	+	2.21721i	−1.91759	+	0.338122i	−0.919143	+	0.393924i	$0.871117\pi$
$44$	−0.271958	−	8.32638i	−0.0409993	−	1.25525i
$45$	2.99961	−	5.19547i	0.447155	−	0.774495i
$46$	1.45777	+	3.81047i	0.214937	+	0.561823i
$47$	4.56576	−	5.44126i	0.665985	−	0.793690i	−0.322247	−	0.946656i	$-0.604438\pi$
$47$	4.56576	−	5.44126i	0.665985	−	0.793690i	0.988231	+	0.152966i	$0.0488825\pi$
$48$	−2.85038	−	11.6560i	−0.411416	−	1.68240i
$49$	−3.04652	−	5.27672i	−0.435217	−	0.753818i
$50$	−1.09805	−	0.891233i	−0.155287	−	0.126039i
$51$	20.2378	−	7.36595i	2.83386	−	1.03144i
$52$	12.8059	+	1.82922i	1.77585	+	0.253667i
$53$	−3.93418	−	0.693702i	−0.540401	−	0.0952873i	−0.103216	−	0.994659i	$-0.532913\pi$
$53$	−3.93418	−	0.693702i	−0.540401	−	0.0952873i	−0.437185	+	0.899372i	$0.644025\pi$
$54$	−6.18128	+	11.1217i	−0.841166	+	1.51348i
$55$	2.67747	+	3.19089i	0.361031	+	0.430259i
$56$	−2.39590	−	1.23100i	−0.320166	−	0.164500i
$57$	−7.49491	+	10.7150i	−0.992725	+	1.41924i
$58$	−0.241250	−	0.0384892i	−0.0316776	−	0.00505388i
$59$	−1.70839	+	1.43351i	−0.222413	+	0.186627i	−0.747185	−	0.664616i	$-0.768595\pi$
$59$	−1.70839	+	1.43351i	−0.222413	+	0.186627i	0.524772	+	0.851243i	$0.324151\pi$
$60$	4.71951	+	3.70446i	0.609287	+	0.478244i
$61$	−0.168121	+	0.953461i	−0.0215257	+	0.122078i	−0.993677	−	0.112275i	$-0.964186\pi$
$61$	−0.168121	+	0.953461i	−0.0215257	+	0.122078i	0.972151	+	0.234353i	$0.0752973\pi$
$62$	6.16538	−	0.100661i	0.783005	−	0.0127839i
$63$	1.95408	+	5.36878i	0.246190	+	0.676402i
$64$	7.96165	−	0.782363i	0.995207	−	0.0977954i
$65$	−5.60139	+	3.23396i	−0.694767	+	0.401124i
$66$	−11.5785	−	13.3500i	−1.42522	−	1.64327i
$67$	5.09504	+	4.27524i	0.622458	+	0.522304i	0.898575	−	0.438820i	$-0.144603\pi$
$67$	5.09504	+	4.27524i	0.622458	+	0.522304i	−0.276117	+	0.961124i	$0.589048\pi$
$68$	2.95358	+	14.0513i	0.358174	+	1.70397i
$69$	7.49474	+	4.32709i	0.902261	+	0.520921i
$70$	1.32237	−	0.255494i	0.158053	−	0.0305374i
$71$	1.76594	+	10.0151i	0.209578	+	1.18858i	0.890071	+	0.455822i	$0.150655\pi$
$71$	1.76594	+	10.0151i	0.209578	+	1.18858i	−0.680493	+	0.732755i	$0.738234\pi$
$72$	−13.5169	−	10.2576i	−1.59298	−	1.20887i
$73$	0.317628	+	0.115607i	0.0371756	+	0.0135308i	0.360541	−	0.932743i	$-0.382592\pi$
$73$	0.317628	+	0.115607i	0.0371756	+	0.0135308i	−0.323365	+	0.946274i	$0.604814\pi$
$74$	−4.66961	+	2.79862i	−0.542832	+	0.325333i
$75$	−2.99987			−0.346395
$76$	−6.36529	−	5.95677i	−0.730148	−	0.683289i
$77$	−3.96692			−0.452072
$78$	23.5365	−	14.1061i	2.66498	−	1.59720i
$79$	−9.56659	−	3.48195i	−1.07633	−	0.391750i	−0.257787	−	0.966202i	$-0.582993\pi$
$79$	−9.56659	−	3.48195i	−1.07633	−	0.391750i	−0.818539	+	0.574451i	$0.805215\pi$
$80$	−2.88987	+	2.76562i	−0.323097	+	0.309206i
$81$	1.56161	+	8.85631i	0.173512	+	0.984035i
$82$	−1.71415	+	0.331191i	−0.189296	+	0.0365740i
$83$	6.45533	+	3.72698i	0.708564	+	0.409090i	0.810529	−	0.585698i	$-0.199180\pi$
$83$	6.45533	+	3.72698i	0.708564	+	0.409090i	−0.101965	+	0.994788i	$0.532513\pi$
$84$	−5.59164	+	1.17536i	−0.610098	+	0.128242i
$85$	−5.49957	−	4.61469i	−0.596512	−	0.500533i
$86$	−11.8313	−	13.6414i	−1.27580	−	1.47099i
$87$	−0.448790	+	0.259109i	−0.0481153	+	0.0277794i
$88$	9.90250	−	6.38322i	1.05561	−	0.680454i
$89$	0.223306	+	0.613529i	0.0236704	+	0.0650339i	0.950965	−	0.309298i	$-0.100094\pi$
$89$	0.223306	+	0.613529i	0.0236704	+	0.0650339i	−0.927295	+	0.374332i	$0.877872\pi$
$90$	8.48304	−	0.138501i	0.894191	−	0.0145993i
$91$	1.06962	−	6.06613i	0.112127	−	0.635903i
$92$	−3.56244	+	4.53857i	−0.371410	+	0.473178i
$93$	10.0198	−	8.40762i	1.03901	−	0.871829i
$94$	9.91980	+	1.58261i	1.02315	+	0.163234i
$95$	4.34250	+	0.377775i	0.445531	+	0.0387589i
$96$	12.0670	−	11.9316i	1.23158	−	1.21776i
$97$	10.0901	+	12.0249i	1.02449	+	1.22094i	0.975008	+	0.222168i	$0.0713135\pi$
$97$	10.0901	+	12.0249i	1.02449	+	1.22094i	0.0494848	+	0.998775i	$0.484242\pi$
$98$	4.18603	−	7.53175i	0.422853	−	0.760822i
$99$	−24.6095	−	4.33933i	−2.47335	−	0.436119i
$100$	0.282813	−	1.97990i	0.0282813	−	0.197990i
$101$	0.482056	−	0.175454i	0.0479664	−	0.0174583i	−0.317926	−	0.948116i	$-0.602986\pi$
$101$	0.482056	−	0.175454i	0.0479664	−	0.0174583i	0.365892	+	0.930657i	$0.380764\pi$
$102$	23.6482	+	19.1941i	2.34152	+	1.90050i
$103$	−2.29085	−	3.96787i	−0.225724	−	0.390965i	0.730812	−	0.682578i	$-0.239141\pi$
$103$	−2.29085	−	3.96787i	−0.225724	−	0.390965i	−0.956536	+	0.291613i	$0.905808\pi$
$104$	7.09103	+	16.8639i	0.695333	+	1.65364i
$105$	1.83639	−	2.18852i	0.179213	−	0.213578i
$106$	−2.01869	−	5.27664i	−0.196072	−	0.512512i
$107$	3.53903	−	6.12978i	0.342131	−	0.592588i	−0.642697	−	0.766120i	$-0.722185\pi$
$107$	3.53903	−	6.12978i	0.342131	−	0.592588i	0.984828	+	0.173532i	$0.0555180\pi$
$108$	−17.9849	+	0.587428i	−1.73060	+	0.0565253i
$109$	−2.37613	+	0.418975i	−0.227592	+	0.0401306i	−0.286281	−	0.958146i	$-0.592419\pi$
$109$	−2.37613	+	0.418975i	−0.227592	+	0.0401306i	0.0586891	+	0.998276i	$0.481308\pi$
$110$	−1.92413	+	5.56767i	−0.183459	+	0.530857i
$111$	−3.94967	+	10.8516i	−0.374886	+	1.02999i
$112$	−0.248581	−	3.80127i	−0.0234887	−	0.359186i
$113$		−	4.57785i		−	0.430647i	−0.976543	−	0.215324i	$-0.930919\pi$
$113$		−	4.57785i		−	0.430647i	0.976543	−	0.215324i	$-0.0690807\pi$
$114$	−18.4466	−	1.30173i	−1.72768	−	0.121918i
$115$		−	2.88485i		−	0.269014i
$116$	−0.128701	−	0.320627i	−0.0119496	−	0.0297695i
$117$	13.2712	−	36.4624i	1.22693	−	3.37095i
$118$	−2.98090	−	1.03017i	−0.274414	−	0.0948348i
$119$	6.73320	−	1.18725i	0.617232	−	0.108835i
$120$	−1.06254	+	8.41812i	−0.0969964	+	0.768466i
$121$	3.17532	−	5.49982i	0.288666	−	0.499983i
$122$	−1.27881	+	0.489235i	−0.115778	+	0.0442932i
$123$	−2.38047	+	2.83693i	−0.214640	+	0.255798i
$124$	4.60438	+	7.40567i	0.413485	+	0.665049i
$125$	0.500000	+	0.866025i	0.0447214	+	0.0774597i
$126$	−5.09191	+	6.27350i	−0.453623	+	0.558888i
$127$	−6.68967	+	2.43484i	−0.593612	+	0.216057i	−0.621317	−	0.783559i	$-0.713402\pi$
$127$	−6.68967	+	2.43484i	−0.593612	+	0.216057i	0.0277052	+	0.999616i	$0.491180\pi$
$128$	6.73721	+	9.08901i	0.595491	+	0.803362i
$129$	−37.7217	−	6.65135i	−3.32121	−	0.585619i
$130$	−7.99517	−	4.44359i	−0.701223	−	0.389729i
$131$	−0.660577	−	0.787245i	−0.0577149	−	0.0687819i	0.736415	−	0.676530i	$-0.236517\pi$
$131$	−0.660577	−	0.787245i	−0.0577149	−	0.0687819i	−0.794130	+	0.607749i	$0.792073\pi$
$132$	7.77636	−	23.7507i	0.676845	−	2.06724i
$133$	−2.93389	+	2.93677i	−0.254401	+	0.254650i
$134$	−1.48191	+	9.28860i	−0.128018	+	0.802413i
$135$	6.89229	−	5.78332i	0.593194	−	0.497749i
$136$	−14.8975	+	13.7982i	−1.27745	+	1.18318i
$137$	−0.205092	+	1.16313i	−0.0175222	+	0.0993731i	−0.992315	−	0.123740i	$-0.960511\pi$
$137$	−0.205092	+	1.16313i	−0.0175222	+	0.0993731i	0.974792	+	0.223114i	$0.0716221\pi$
$138$	0.199795	+	12.2372i	0.0170077	+	1.04170i
$139$	−3.31064	−	9.09591i	−0.280805	−	0.771505i	−0.997267	−	0.0738792i	$-0.976462\pi$
$139$	−3.31064	−	9.09591i	−0.280805	−	0.771505i	0.716462	−	0.697626i	$-0.245760\pi$
$140$	1.27129	+	1.41834i	0.107444	+	0.119871i
$141$	18.4535	−	10.6541i	1.55406	−	0.897240i
$142$	−10.8649	+	9.42320i	−0.911761	+	0.790778i
$143$	20.6384	+	17.3177i	1.72587	+	1.44818i
$144$	2.61601	−	23.8538i	0.218001	−	1.98782i
$145$	0.149603	+	0.0863734i	0.0124239	+	0.00717292i
$146$	0.0906816	+	0.469342i	0.00750486	+	0.0388430i
$147$	−3.17399	−	18.0006i	−0.261787	−	1.48467i
$148$	−6.78967	−	3.62981i	−0.558108	−	0.298368i
$149$	16.6352	+	6.05470i	1.36281	+	0.496021i	0.916921	−	0.399070i	$-0.130667\pi$
$149$	16.6352	+	6.05470i	1.36281	+	0.496021i	0.445885	+	0.895090i	$0.352889\pi$
$150$	−2.18092	−	3.63896i	−0.178072	−	0.297120i
$151$	−16.0357			−1.30497			−0.652484	−	0.757802i	$-0.726273\pi$
$151$	−16.0357			−1.30497			−0.652484	+	0.757802i	$0.726273\pi$
$152$	2.59819	−	12.0519i	0.210741	−	0.977542i
$153$	43.0695			3.48196
$154$	−2.88397	−	4.81202i	−0.232397	−	0.387764i
$155$	−4.09722	−	1.49126i	−0.329096	−	0.119781i
$156$	34.2224	+	18.2955i	2.73998	+	1.46481i
$157$	0.704982	+	3.99815i	0.0562637	+	0.319087i	0.999930	−	0.0118106i	$-0.00375952\pi$
$157$	0.704982	+	3.99815i	0.0562637	+	0.319087i	−0.943667	+	0.330898i	$0.892648\pi$
$158$	−2.73122	−	14.1360i	−0.217285	−	1.12460i
$159$	−10.3785	−	5.99205i	−0.823071	−	0.475200i
$160$	−5.45576	−	1.49489i	−0.431316	−	0.118182i
$161$	2.10462	+	1.76598i	0.165867	+	0.139179i
$162$	−9.60775	+	8.33288i	−0.754856	+	0.654693i
$163$	−17.1112	+	9.87915i	−1.34025	+	0.773794i	−0.986844	−	0.161675i	$-0.948310\pi$
$163$	−17.1112	+	9.87915i	−1.34025	+	0.773794i	−0.353407	+	0.935470i	$0.614977\pi$
$164$	−1.64795	−	1.83855i	−0.128683	−	0.143567i
$165$	4.27378	+	11.7421i	0.332713	+	0.914121i
$166$	0.172086	+	10.5401i	0.0133565	+	0.818070i
$167$	0.114291	−	0.648176i	0.00884409	−	0.0501573i	−0.980066	−	0.198671i	$-0.936338\pi$
$167$	0.114291	−	0.648176i	0.00884409	−	0.0501573i	0.988910	+	0.148513i	$0.0474487\pi$
$168$	−5.49091	−	5.92838i	−0.423633	−	0.457384i
$169$	−22.0882	+	18.5342i	−1.69909	+	1.42571i
$170$	1.59957	−	10.0261i	0.122682	−	0.768967i
$171$	−21.4134	+	15.0095i	−1.63753	+	1.14781i
$172$	7.94609	−	24.2691i	0.605884	−	1.85050i
$173$	−10.8375	−	12.9156i	−0.823956	−	0.981953i	0.176041	−	0.984383i	$-0.443671\pi$
$173$	−10.8375	−	12.9156i	−0.823956	−	0.981953i	−0.999997	+	0.00243016i	$0.999226\pi$
$174$	−0.640582	−	0.356025i	−0.0485624	−	0.0269902i
$175$	−0.937879	−	0.165373i	−0.0708970	−	0.0125010i
$176$	14.9423	+	7.37147i	1.12632	+	0.555646i
$177$	−6.28666	+	2.28816i	−0.472534	+	0.171988i
$178$	−0.581889	+	0.716918i	−0.0436144	+	0.0537353i
$179$	4.29090	+	7.43205i	0.320717	+	0.555498i	0.980636	−	0.195839i	$-0.0627429\pi$
$179$	4.29090	+	7.43205i	0.320717	+	0.555498i	−0.659919	+	0.751336i	$0.729410\pi$
$180$	6.33523	+	10.1896i	0.472200	+	0.759485i
$181$	−7.99468	+	9.52769i	−0.594240	+	0.708188i	−0.976415	−	0.215902i	$-0.930731\pi$
$181$	−7.99468	+	9.52769i	−0.594240	+	0.708188i	0.382175	+	0.924090i	$0.375175\pi$
$182$	8.13607	−	3.11262i	0.603086	−	0.230723i
$183$	−1.45219	+	2.51527i	−0.107349	+	0.185934i
$184$	−8.09537	−	1.02180i	−0.596799	−	0.0753285i
$185$	3.79104	−	0.668462i	0.278722	−	0.0491463i
$186$	17.4832	+	6.04202i	1.28193	+	0.443023i
$187$	−10.2279	+	28.1008i	−0.747935	+	2.05493i
$188$	5.29198	+	13.1837i	0.385957	+	0.961518i
$189$			8.56851i			0.623267i
$190$	2.69877	+	5.54226i	0.195789	+	0.402078i
$191$		−	3.09933i		−	0.224259i	−0.993694	−	0.112130i	$-0.964233\pi$
$191$		−	3.09933i		−	0.224259i	0.993694	−	0.112130i	$-0.0357672\pi$
$192$	23.2463	+	5.96333i	1.67765	+	0.430367i
$193$	−4.24940	+	11.6751i	−0.305879	+	0.840395i	0.687570	+	0.726118i	$0.258677\pi$
$193$	−4.24940	+	11.6751i	−0.305879	+	0.840395i	−0.993449	+	0.114277i	$0.963545\pi$
$194$	−7.25111	+	20.9818i	−0.520599	+	1.50641i
$195$	−19.1082	+	3.36928i	−1.36836	+	0.241279i
$196$	12.1796	−	0.397813i	0.869970	−	0.0284152i
$197$	−4.82663	+	8.35998i	−0.343883	+	0.595624i	−0.985150	−	0.171694i	$-0.945076\pi$
$197$	−4.82663	+	8.35998i	−0.343883	+	0.595624i	0.641267	+	0.767318i	$0.278409\pi$
$198$	−12.6275	−	33.0070i	−0.897399	−	2.34571i
$199$	8.58402	−	10.2300i	0.608505	−	0.725188i	−0.370543	−	0.928815i	$-0.620828\pi$
$199$	8.58402	−	10.2300i	0.608505	−	0.725188i	0.979049	+	0.203627i	$0.0652729\pi$
$200$	2.60731	−	1.09634i	0.184364	−	0.0775228i
$201$	9.97621	+	17.2793i	0.703668	+	1.21879i
$202$	0.563290	+	0.457196i	0.0396329	+	0.0321682i
$203$	−0.154593	+	0.0562674i	−0.0108503	+	0.00394920i
$204$	−6.09084	+	42.6404i	−0.426444	+	2.98542i
$205$	1.21575	+	0.214370i	0.0849117	+	0.0149722i
$206$	3.14771	−	5.66355i	0.219312	−	0.394598i
$207$	11.1246	+	13.2578i	0.773216	+	0.921483i
$208$	−15.3013	+	20.8618i	−1.06095	+	1.44651i
$209$	−4.70787	−	17.5356i	−0.325650	−	1.21296i
$210$	3.98983	+	0.636541i	0.275325	+	0.0439255i
$211$	−5.50229	+	4.61697i	−0.378793	+	0.317845i	−0.812228	−	0.583339i	$-0.801746\pi$
$211$	−5.50229	+	4.61697i	−0.378793	+	0.317845i	0.433435	+	0.901185i	$0.357301\pi$
$212$	4.93317	−	6.28489i	0.338811	−	0.431648i
$213$	−5.29758	+	30.0441i	−0.362984	+	2.05858i
$214$	10.0086	−	0.163408i	0.684171	−	0.0111703i
$215$	4.36706	+	11.9984i	0.297831	+	0.818284i
$216$	−13.7877	−	21.3893i	−0.938135	−	1.45536i
$217$	3.59608	−	2.07620i	0.244118	−	0.140941i
$218$	−2.23569	−	2.57774i	−0.151420	−	0.174586i
$219$	0.776765	+	0.651783i	0.0524889	+	0.0440434i
$220$	−8.15266	+	1.71369i	−0.549652	+	0.115537i
$221$	−40.2134	−	23.2172i	−2.70505	−	1.56176i
$222$	−16.0349	+	3.09810i	−1.07619	+	0.207931i
$223$	−3.29483	−	18.6859i	−0.220638	−	1.25130i	−0.870850	−	0.491549i	$-0.836431\pi$
$223$	−3.29483	−	18.6859i	−0.220638	−	1.25130i	0.650211	−	0.759753i	$-0.274680\pi$
$224$	4.43036	−	3.06508i	0.296016	−	0.204795i
$225$	−5.63742	−	2.05185i	−0.375828	−	0.136790i
$226$	5.55310	−	3.32812i	0.369387	−	0.221383i
$227$	7.78035			0.516400			0.258200	−	0.966091i	$-0.416871\pi$
$227$	7.78035			0.516400			0.258200	+	0.966091i	$0.416871\pi$
$228$	−11.8317	−	23.3228i	−0.783574	−	1.54459i
$229$	22.4378			1.48273			0.741367	−	0.671100i	$-0.234178\pi$
$229$	22.4378			1.48273			0.741367	+	0.671100i	$0.234178\pi$
$230$	3.49944	−	2.09731i	0.230746	−	0.138292i
$231$	−11.1826	−	4.07012i	−0.735758	−	0.267794i
$232$	0.295367	−	0.389217i	0.0193918	−	0.0255534i
$233$	2.71712	+	15.4095i	0.178004	+	1.00951i	0.934619	+	0.355651i	$0.115741\pi$
$233$	2.71712	+	15.4095i	0.178004	+	1.00951i	−0.756614	+	0.653861i	$0.773148\pi$
$234$	53.8786	−	10.4099i	3.52215	−	0.680515i
$235$	−6.15143	−	3.55153i	−0.401275	−	0.231676i
$236$	−0.917499	−	4.36489i	−0.0597241	−	0.284130i
$237$	−23.3952	−	19.6309i	−1.51968	−	1.27517i
$238$	6.33525	+	7.30450i	0.410653	+	0.473480i
$239$	−8.18300	+	4.72446i	−0.529314	+	0.305600i	−0.740737	−	0.671795i	$-0.765524\pi$
$239$	−8.18300	+	4.72446i	−0.529314	+	0.305600i	0.211423	+	0.977395i	$0.432190\pi$
$240$	−10.9840	+	4.83112i	−0.709013	+	0.311847i
$241$	−4.07270	−	11.1896i	−0.262346	−	0.720789i	−0.999008	−	0.0445281i	$-0.985822\pi$
$241$	−4.07270	−	11.1896i	−0.262346	−	0.720789i	0.736663	−	0.676261i	$-0.236401\pi$
$242$	8.97997	−	0.146614i	0.577254	−	0.00942470i
$243$	0.00245377	−	0.0139160i	0.000157409	−	0.000892713i
$244$	−1.52316	−	1.19557i	−0.0975105	−	0.0765384i
$245$	−4.66754	+	3.91653i	−0.298198	+	0.250218i
$246$	−5.17192	−	0.825133i	−0.329750	−	0.0526086i
$247$	28.0846	−	2.47095i	1.78698	−	0.157223i
$248$	−5.63595	+	10.9693i	−0.357883	+	0.696548i
$249$	14.3733	+	17.1295i	0.910873	+	1.08554i
$250$	−0.687019	+	1.23612i	−0.0434509	+	0.0781794i
$251$	12.1285	+	2.13857i	0.765541	+	0.134986i	0.542766	−	0.839884i	$-0.317377\pi$
$251$	12.1285	+	2.13857i	0.765541	+	0.134986i	0.222776	+	0.974870i	$0.428488\pi$
$252$	−11.3118	−	1.61581i	−0.712579	−	0.101786i
$253$	−11.2919	+	4.10992i	−0.709916	+	0.258388i
$254$	−7.81699	−	6.34468i	−0.490481	−	0.398101i
$255$	−10.7683	−	18.6512i	−0.674337	−	1.16799i
$256$	−6.12733	+	14.7803i	−0.382958	+	0.923766i
$257$	4.10952	−	4.89754i	0.256345	−	0.305500i	−0.622488	−	0.782629i	$-0.713878\pi$
$257$	4.10952	−	4.89754i	0.256345	−	0.305500i	0.878833	+	0.477129i	$0.158323\pi$
$258$	−19.3556	−	50.5934i	−1.20502	−	3.14981i
$259$	−1.83304	+	3.17492i	−0.113899	+	0.197280i
$260$	−0.422289	−	12.9290i	−0.0261893	−	0.801820i
$261$	−1.02060	+	0.179959i	−0.0631736	+	0.0111392i
$262$	0.474715	−	1.37364i	0.0293280	−	0.0848636i
$263$	2.14732	−	5.89972i	0.132410	−	0.363792i	−0.855715	−	0.517448i	$-0.826882\pi$
$263$	2.14732	−	5.89972i	0.132410	−	0.363792i	0.988125	+	0.153655i	$0.0491045\pi$
$264$	34.4640	−	7.83390i	2.12111	−	0.482143i
$265$			3.99487i			0.245403i
$266$	−5.69537	−	1.42387i	−0.349206	−	0.0873033i
$267$			1.95863i			0.119866i
$268$	−12.3448	+	4.95525i	−0.754078	+	0.302690i
$269$	−0.813838	+	2.23600i	−0.0496206	+	0.136331i	−0.962027	−	0.272953i	$-0.912000\pi$
$269$	−0.813838	+	2.23600i	−0.0496206	+	0.136331i	0.912407	+	0.409285i	$0.134222\pi$
$270$	12.0261	+	4.15611i	0.731887	+	0.252933i
$271$	−14.1826	+	2.50077i	−0.861531	+	0.151911i	−0.586921	−	0.809644i	$-0.699660\pi$
$271$	−14.1826	+	2.50077i	−0.861531	+	0.151911i	−0.274610	+	0.961556i	$0.588549\pi$
$272$	−27.5683	−	8.03987i	−1.67157	−	0.487489i
$273$	9.23916	−	16.0027i	0.559180	−	0.968528i
$274$	−1.56003	+	0.596820i	−0.0942447	+	0.0360552i
$275$	2.67747	−	3.19089i	0.161458	−	0.192418i
$276$	−14.6990	+	9.13890i	−0.884775	+	0.550097i
$277$	6.48814	+	11.2378i	0.389834	+	0.675213i	0.992427	−	0.122836i	$-0.0391989\pi$
$277$	6.48814	+	11.2378i	0.389834	+	0.675213i	−0.602593	+	0.798049i	$0.705866\pi$
$278$	8.62683	−	10.6287i	0.517403	−	0.637468i
$279$	24.5801	−	8.94642i	1.47157	−	0.535608i
$280$	−0.796257	+	2.57326i	−0.0475855	+	0.153782i
$281$	5.24174	+	0.924261i	0.312696	+	0.0551368i	0.327794	−	0.944749i	$-0.393695\pi$
$281$	5.24174	+	0.924261i	0.312696	+	0.0551368i	−0.0150977	+	0.999886i	$0.504806\pi$
$282$	26.3397	+	14.6392i	1.56850	+	0.871751i
$283$	16.5035	+	19.6681i	0.981031	+	1.16915i	0.985589	+	0.169158i	$0.0541047\pi$
$283$	16.5035	+	19.6681i	0.981031	+	1.16915i	−0.00455798	+	0.999990i	$0.501451\pi$
$284$	−19.3295	−	6.32879i	−1.14700	−	0.375545i
$285$	11.8537	+	5.52040i	0.702153	+	0.327000i
$286$	−6.00277	+	37.6253i	−0.354952	+	2.22483i
$287$	−0.900621	+	0.755711i	−0.0531620	+	0.0446082i
$288$	30.8375	−	14.1686i	1.81712	−	0.834891i
$289$	5.99792	−	34.0159i	0.352819	−	2.00094i
$290$	0.00398811	+	0.244268i	0.000234190	+	0.0143439i
$291$	16.1058	+	44.2502i	0.944137	+	2.59399i
$292$	−0.503404	+	0.451215i	−0.0294595	+	0.0264054i
$293$	17.4143	−	10.0542i	1.01736	−	0.587371i	0.104019	−	0.994575i	$-0.466830\pi$
$293$	17.4143	−	10.0542i	1.01736	−	0.587371i	0.913337	+	0.407205i	$0.133496\pi$
$294$	19.5279	−	16.9367i	1.13889	−	0.987771i
$295$	1.70839	+	1.43351i	0.0994661	+	0.0834619i
$296$	−0.533041	−	10.8750i	−0.0309824	−	0.632098i
$297$	−32.4562	−	18.7386i	−1.88330	−	1.08733i
$298$	4.74927	+	24.5809i	0.275118	+	1.42393i
$299$	−3.24011	−	18.3756i	−0.187380	−	1.06269i
$300$	2.82865	−	5.29109i	0.163312	−	0.305481i
$301$	−11.4266	−	4.15896i	−0.658620	−	0.239718i
$302$	−11.6581	−	19.4519i	−0.670846	−	1.11933i
$303$	1.53891			0.0884082
$304$	16.5084	−	5.61013i	0.946820	−	0.321763i
$305$	0.968170			0.0554372
$306$	31.3118	+	52.2449i	1.78997	+	2.98664i
$307$	−30.4836	−	11.0951i	−1.73979	−	0.633232i	−0.740542	−	0.672010i	$-0.765431\pi$
$307$	−30.4836	−	11.0951i	−1.73979	−	0.633232i	−0.999248	+	0.0387785i	$0.987653\pi$
$308$	3.74050	−	6.99674i	0.213135	−	0.398676i
$309$	−2.38671	−	13.5357i	−0.135775	−	0.770018i
$310$	−1.16974	−	6.05424i	−0.0664367	−	0.343858i
$311$	4.03384	+	2.32894i	0.228738	+	0.132062i	0.609990	−	0.792409i	$-0.291174\pi$
$311$	4.03384	+	2.32894i	0.228738	+	0.132062i	−0.381252	+	0.924471i	$0.624507\pi$
$312$	2.68672	+	54.8140i	0.152105	+	3.10323i
$313$	4.07961	+	3.42320i	0.230593	+	0.193491i	0.750762	−	0.660573i	$-0.229686\pi$
$313$	4.07961	+	3.42320i	0.230593	+	0.193491i	−0.520169	+	0.854064i	$0.674131\pi$
$314$	−4.33739	+	3.76185i	−0.244773	+	0.212294i
$315$	4.94789	−	2.85667i	0.278782	−	0.160955i
$316$	15.1619	−	13.5901i	0.852926	−	0.764501i
$317$	8.92551	+	24.5226i	0.501307	+	1.37733i	0.889999	+	0.455962i	$0.150705\pi$
$317$	8.92551	+	24.5226i	0.501307	+	1.37733i	−0.388693	+	0.921367i	$0.627073\pi$
$318$	−0.276671	−	16.9458i	−0.0155149	−	0.950274i
$319$	0.124950	−	0.708629i	0.00699588	−	0.0396756i
$320$	−2.15300	−	7.70484i	−0.120357	−	0.430714i
$321$	16.2656	−	13.6485i	0.907859	−	0.761784i
$322$	−0.612136	+	3.83686i	−0.0341130	+	0.213820i
$323$	13.2390	+	28.3549i	0.736640	+	1.57771i
$324$	−17.0930	−	5.59651i	−0.949611	−	0.310917i
$325$	4.15750	+	4.95472i	0.230617	+	0.274838i
$326$	−24.4237	−	13.5743i	−1.35270	−	0.751812i
$327$	−7.12807	−	1.25687i	−0.394183	−	0.0695051i
$328$	1.03217	−	3.33566i	0.0569920	−	0.184181i
$329$	6.35663	−	2.31362i	0.350452	−	0.127554i
$330$	−11.1366	+	13.7208i	−0.613048	+	0.755307i
$331$	2.69375	+	4.66571i	0.148062	+	0.256451i	0.930511	−	0.366264i	$-0.119363\pi$
$331$	2.69375	+	4.66571i	0.148062	+	0.256451i	−0.782449	+	0.622714i	$0.786030\pi$
$332$	−12.6604	+	7.87146i	−0.694832	+	0.432003i
$333$	−14.8446	+	17.6911i	−0.813479	+	0.969466i
$334$	0.869352	−	0.332588i	0.0475688	−	0.0181984i
$335$	3.32555	−	5.76002i	0.181694	−	0.314704i
$336$	3.19942	−	10.9707i	0.174543	−	0.598498i
$337$	−4.67184	+	0.823771i	−0.254491	+	0.0448737i	−0.299438	−	0.954116i	$-0.596799\pi$
$337$	−4.67184	+	0.823771i	−0.254491	+	0.0448737i	0.0449469	+	0.998989i	$0.485688\pi$
$338$	−38.5409	−	13.3194i	−2.09635	−	0.724478i
$339$	4.69694	−	12.9047i	0.255103	−	0.700889i
$340$	13.3249	−	5.34869i	0.722647	−	0.290074i
$341$			18.1619i			0.983521i
$342$	−33.7748	−	15.0633i	−1.82633	−	0.814532i
$343$		−	12.4691i		−	0.673269i
$344$	35.2162	−	8.00489i	1.89873	−	0.431595i
$345$	2.95991	−	8.13227i	0.159356	−	0.437827i
$346$	7.78819	−	22.5359i	0.418696	−	1.21154i
$347$	18.5457	−	3.27011i	0.995586	−	0.175549i	0.347962	−	0.937509i	$-0.386874\pi$
$347$	18.5457	−	3.27011i	0.995586	−	0.175549i	0.647624	+	0.761960i	$0.275763\pi$
$348$	−0.0338343	−	1.03588i	−0.00181371	−	0.0555292i
$349$	16.4990	−	28.5772i	0.883173	−	1.52970i	0.0353791	−	0.999374i	$-0.488736\pi$
$349$	16.4990	−	28.5772i	0.883173	−	1.52970i	0.847794	−	0.530326i	$-0.177931\pi$
$350$	−0.481239	−	1.25791i	−0.0257233	−	0.0672381i
$351$	37.4061	−	44.5789i	1.99659	−	2.37944i
$352$	1.92124	+	23.4847i	0.102403	+	1.25174i
$353$	7.27324	+	12.5976i	0.387116	+	0.670504i	0.992060	−	0.125764i	$-0.0401381\pi$
$353$	7.27324	+	12.5976i	0.387116	+	0.670504i	−0.604945	+	0.796268i	$0.706805\pi$
$354$	−7.34606	−	5.96246i	−0.390439	−	0.316901i
$355$	9.55632	−	3.47822i	0.507197	−	0.184604i
$356$	−1.29269	−	0.184650i	−0.0685122	−	0.00978643i
$357$	20.1987	+	3.56158i	1.06903	+	0.188499i
$358$	−5.89586	+	10.6082i	−0.311606	+	0.560659i
$359$	−16.4417	−	19.5944i	−0.867757	−	1.03415i	−0.999083	−	0.0428138i	$-0.986368\pi$
$359$	−16.4417	−	19.5944i	−0.867757	−	1.03415i	0.131326	−	0.991339i	$-0.458077\pi$
$360$	−7.75458	+	15.0927i	−0.408702	+	0.795458i
$361$	−16.4638	−	9.48386i	−0.866515	−	0.499151i
$362$	−17.3696	−	2.77117i	−0.912928	−	0.145649i
$363$	14.5940	−	12.2458i	0.765985	−	0.642738i
$364$	9.69070	+	7.60648i	0.507931	+	0.398688i
$365$	0.0586953	−	0.332878i	0.00307225	−	0.0174236i
$366$	−4.10687	+	0.0670520i	−0.214670	+	0.00350486i
$367$	−5.08095	−	13.9598i	−0.265223	−	0.728695i	−0.998795	−	0.0490827i	$-0.984370\pi$
$367$	−5.08095	−	13.9598i	−0.265223	−	0.728695i	0.733571	−	0.679612i	$-0.237852\pi$
$368$	−4.64589	−	10.5629i	−0.242184	−	0.550627i
$369$	−6.41384	+	3.70303i	−0.333891	+	0.192772i
$370$	3.56698	+	4.11270i	0.185438	+	0.213809i
$371$	−2.91442	−	2.44549i	−0.151309	−	0.126963i
$372$	5.38120	+	25.6004i	0.279002	+	1.32732i
$373$	−1.50340	−	0.867989i	−0.0778432	−	0.0449428i	0.460573	−	0.887622i	$-0.347644\pi$
$373$	−1.50340	−	0.867989i	−0.0778432	−	0.0449428i	−0.538416	+	0.842679i	$0.680977\pi$
$374$	−41.5231	+	8.02267i	−2.14711	+	0.414842i
$375$	0.520922	+	2.95429i	0.0269003	+	0.152559i
$376$	−12.1450	+	16.0040i	−0.626330	+	0.825342i
$377$	1.04993	+	0.382144i	0.0540742	+	0.0196814i
$378$	−10.3939	+	6.22936i	−0.534606	+	0.320403i
$379$	30.6664			1.57522			0.787612	−	0.616171i	$-0.211317\pi$
$379$	30.6664			1.57522			0.787612	+	0.616171i	$0.211317\pi$
$380$	−4.76096	+	7.30297i	−0.244232	+	0.374634i
$381$	−21.3561			−1.09410
$382$	3.75960	−	2.25323i	0.192358	−	0.115285i
$383$	18.9712	+	6.90494i	0.969381	+	0.352826i	0.777703	−	0.628632i	$-0.216385\pi$
$383$	18.9712	+	6.90494i	0.969381	+	0.352826i	0.191678	+	0.981458i	$0.438607\pi$
$384$	9.66642	+	32.5340i	0.493287	+	1.66024i
$385$	0.688848	+	3.90665i	0.0351069	+	0.199101i
$386$	−17.2517	+	3.33321i	−0.878090	+	0.169656i
$387$	−66.3380	−	38.3003i	−3.37215	−	1.94691i
$388$	−30.7234	+	6.45805i	−1.55974	+	0.327858i
$389$	−12.5121	−	10.4989i	−0.634387	−	0.532314i	0.267902	−	0.963446i	$-0.413670\pi$
$389$	−12.5121	−	10.4989i	−0.634387	−	0.532314i	−0.902289	+	0.431132i	$0.858114\pi$
$390$	−17.9788	−	20.7294i	−0.910393	−	1.04968i
$391$	17.9362	−	10.3554i	0.907071	−	0.523698i
$392$	9.33719	+	14.4851i	0.471599	+	0.731607i
$393$	−1.05441	−	2.89697i	−0.0531880	−	0.146133i
$394$	−13.6500	+	0.222860i	−0.687675	+	0.0112275i
$395$	−1.76783	+	10.0259i	−0.0889494	+	0.504457i
$396$	30.8585	−	39.3140i	1.55070	−	1.97560i
$397$	−20.4157	+	17.1308i	−1.02463	+	0.859770i	−0.990203	−	0.139637i	$-0.955406\pi$
$397$	−20.4157	+	17.1308i	−1.02463	+	0.859770i	−0.0344314	+	0.999407i	$0.510962\pi$
$398$	18.6501	+	2.97545i	0.934844	+	0.149146i
$399$	−11.2837	+	5.26840i	−0.564890	+	0.263750i
$400$	3.22543	+	2.36572i	0.161271	+	0.118286i
$401$	−0.211287	−	0.251802i	−0.0105512	−	0.0125744i	0.760743	−	0.649053i	$-0.224835\pi$
$401$	−0.211287	−	0.251802i	−0.0105512	−	0.0125744i	−0.771294	+	0.636479i	$0.780390\pi$
$402$	−13.7077	+	24.6637i	−0.683678	+	1.23011i
$403$	−27.7728	−	4.89709i	−1.38346	−	0.243942i
$404$	−0.145081	+	1.01568i	−0.00721807	+	0.0505318i
$405$	8.45059	−	3.07576i	0.419913	−	0.152836i
$406$	−0.180645	−	0.146621i	−0.00896525	−	0.00727668i
$407$	−8.01741	−	13.8866i	−0.397408	−	0.688331i
$408$	−56.1525	+	23.6114i	−2.77996	+	1.16894i
$409$	10.5470	−	12.5694i	0.521514	−	0.621516i	−0.439424	−	0.898280i	$-0.644817\pi$
$409$	10.5470	−	12.5694i	0.521514	−	0.621516i	0.960938	+	0.276764i	$0.0892619\pi$
$410$	0.623819	+	1.63060i	0.0308082	+	0.0805296i
$411$	−1.77154	+	3.06839i	−0.0873834	+	0.151353i
$412$	9.15851	−	0.299138i	0.451207	−	0.0147375i
$413$	−2.09160	+	0.368805i	−0.102921	+	0.0181477i
$414$	−7.99457	+	23.1331i	−0.392912	+	1.13693i
$415$	2.54941	−	7.00444i	0.125145	−	0.343834i
$416$	−36.4303	−	3.39438i	−1.78614	−	0.166423i
$417$		−	29.0377i		−	1.42198i
$418$	17.8487	−	18.4593i	0.873010	−	0.902875i
$419$			21.6359i			1.05698i	0.848939	+	0.528491i	$0.177242\pi$
$419$			21.6359i			1.05698i	−0.848939	+	0.528491i	$0.822758\pi$
$420$	2.12848	+	5.30259i	0.103859	+	0.258740i
$421$	−1.19543	+	3.28442i	−0.0582617	+	0.160073i	−0.965409	−	0.260741i	$-0.916033\pi$
$421$	−1.19543	+	3.28442i	−0.0582617	+	0.160073i	0.907147	+	0.420814i	$0.138255\pi$
$422$	−9.60076	−	3.31792i	−0.467358	−	0.161514i
$423$	41.9654	−	7.39964i	2.04043	−	0.359783i
$424$	11.2103	+	1.41497i	0.544418	+	0.0687170i
$425$	−3.58959	+	6.21735i	−0.174121	+	0.301586i
$426$	−40.2960	+	15.4160i	−1.95235	+	0.746910i
$427$	−0.592672	+	0.706319i	−0.0286814	+	0.0341812i
$428$	7.47450	+	12.0220i	0.361294	+	0.581104i
$429$	40.4106	+	69.9932i	1.95104	+	3.37930i
$430$	−11.3796	+	14.0203i	−0.548775	+	0.676120i
$431$	22.8431	−	8.31421i	1.10031	−	0.400481i	0.272882	−	0.962048i	$-0.412023\pi$
$431$	22.8431	−	8.31421i	1.10031	−	0.400481i	0.827432	+	0.561566i	$0.189801\pi$
$432$	15.9223	−	32.2752i	0.766063	−	1.55284i
$433$	24.4792	+	4.31635i	1.17640	+	0.207430i	0.727471	−	0.686139i	$-0.240696\pi$
$433$	24.4792	+	4.31635i	1.17640	+	0.207430i	0.448926	+	0.893569i	$0.351807\pi$
$434$	5.13287	+	2.85277i	0.246386	+	0.136937i
$435$	0.333104	+	0.396978i	0.0159711	+	0.0190336i
$436$	1.50153	−	4.58601i	0.0719103	−	0.219630i
$437$	−5.30875	+	11.3992i	−0.253952	+	0.545299i
$438$	−0.225925	+	1.41610i	−0.0107951	+	0.0676637i
$439$	−14.8346	+	12.4477i	−0.708015	+	0.594095i	−0.924041	−	0.382292i	$-0.875135\pi$
$439$	−14.8346	+	12.4477i	−0.708015	+	0.594095i	0.216026	+	0.976388i	$0.430690\pi$
$440$	−8.00580	−	8.64363i	−0.381662	−	0.412069i
$441$	6.34744	−	35.9981i	0.302259	−	1.71420i
$442$	−1.07201	−	65.6595i	−0.0509902	−	3.12310i
$443$	−7.46865	−	20.5200i	−0.354846	−	0.974933i	−0.980790	−	0.195065i	$-0.937508\pi$
$443$	−7.46865	−	20.5200i	−0.354846	−	0.974933i	0.625944	−	0.779868i	$-0.284714\pi$
$444$	−15.4156	−	17.1986i	−0.731590	−	0.816208i
$445$	0.565431	−	0.326452i	0.0268040	−	0.0154753i
$446$	20.2714	−	17.5815i	0.959878	−	0.832510i
$447$	40.6815	+	34.1359i	1.92417	+	1.61457i
$448$	6.93897	+	3.14587i	0.327835	+	0.148628i
$449$	−1.24563	−	0.719164i	−0.0587848	−	0.0339394i	0.470320	−	0.882496i	$-0.344139\pi$
$449$	−1.24563	−	0.719164i	−0.0587848	−	0.0339394i	−0.529104	+	0.848557i	$0.677472\pi$
$450$	−1.60946	−	8.33011i	−0.0758707	−	0.392685i
$451$	−0.892937	−	5.06410i	−0.0420468	−	0.238459i
$452$	8.07428	+	4.31656i	0.379782	+	0.203034i
$453$	−45.2040	−	16.4529i	−2.12387	−	0.773025i
$454$	5.65636	+	9.43787i	0.265466	+	0.442941i
$455$	−6.15971			−0.288772
$456$	19.6897	−	31.3081i	0.922053	−	1.46614i
$457$	37.3379			1.74659			0.873297	−	0.487188i	$-0.161978\pi$
$457$	37.3379			1.74659			0.873297	+	0.487188i	$0.161978\pi$
$458$	16.3124	+	27.2180i	0.762230	+	1.27181i
$459$	60.6975	+	22.0921i	2.83312	+	1.03117i
$460$	5.08823	+	2.72020i	0.237240	+	0.126830i
$461$	−1.78844	−	10.1428i	−0.0832960	−	0.472395i	−0.997711	−	0.0676177i	$-0.978460\pi$
$461$	−1.78844	−	10.1428i	−0.0832960	−	0.472395i	0.914415	−	0.404777i	$-0.132651\pi$
$462$	−3.19258	−	16.5239i	−0.148532	−	0.768760i
$463$	1.87782	+	1.08416i	0.0872696	+	0.0503851i	0.543000	−	0.839733i	$-0.317288\pi$
$463$	1.87782	+	1.08416i	0.0872696	+	0.0503851i	−0.455730	+	0.890118i	$0.650622\pi$
$464$	0.686869	+	0.0753276i	0.0318871	+	0.00349700i
$465$	−10.0198	−	8.40762i	−0.464657	−	0.389894i
$466$	−16.7170	+	14.4988i	−0.774400	+	0.671644i
$467$	17.6700	−	10.2018i	0.817671	−	0.472083i	−0.0319417	−	0.999490i	$-0.510169\pi$
$467$	17.6700	−	10.2018i	0.817671	−	0.472083i	0.849613	+	0.527407i	$0.176836\pi$
$468$	51.7976	+	57.7887i	2.39435	+	2.67129i
$469$	2.16641	+	5.95216i	0.100035	+	0.274845i
$470$	−0.163985	−	10.0439i	−0.00756405	−	0.463291i
$471$	−2.11485	+	11.9939i	−0.0974473	+	0.552651i
$472$	4.62775	−	4.28626i	0.213010	−	0.197291i
$473$	40.7426	−	34.1871i	1.87335	−	1.57193i
$474$	6.80460	−	42.6511i	0.312546	−	1.95903i
$475$	−0.382031	−	4.34213i	−0.0175288	−	0.199230i
$476$	−4.25487	+	12.9953i	−0.195022	+	0.595639i
$477$	−15.4051	−	18.3591i	−0.705352	−	0.840605i
$478$	−11.6800	−	6.49158i	−0.534232	−	0.296918i
$479$	10.5245	+	1.85575i	0.480875	+	0.0847912i	0.408831	−	0.912610i	$-0.365937\pi$
$479$	10.5245	+	1.85575i	0.480875	+	0.0847912i	0.0720442	+	0.997401i	$0.477048\pi$
$480$	−13.8457	−	9.81173i	−0.631969	−	0.447842i
$481$	23.3968	−	8.51576i	1.06680	−	0.388285i
$482$	10.6126	−	13.0753i	0.483391	−	0.595563i
$483$	4.12089	+	7.13760i	0.187507	+	0.324772i
$484$	6.70634	+	10.7865i	0.304834	+	0.490293i
$485$	10.0901	−	12.0249i	0.458167	−	0.546022i
$486$	0.0186646	−	0.00714051i	0.000846642	−	0.000323900i
$487$	−15.0600	+	26.0847i	−0.682434	+	1.18201i	0.291802	+	0.956479i	$0.405745\pi$
$487$	−15.0600	+	26.0847i	−0.682434	+	1.18201i	−0.974236	+	0.225531i	$0.927588\pi$
$488$	0.342922	−	2.71684i	0.0155234	−	0.122986i
$489$	−58.3718	+	10.2925i	−2.63966	+	0.465444i
$490$	−8.14423	−	2.81456i	−0.367919	−	0.127149i
$491$	10.3091	−	28.3240i	0.465242	−	1.27824i	−0.456252	−	0.889850i	$-0.650809\pi$
$491$	10.3091	−	28.3240i	0.465242	−	1.27824i	0.921494	−	0.388392i	$-0.126969\pi$
$492$	−2.75910	−	6.87362i	−0.124390	−	0.309887i
$493$			1.24018i			0.0558549i
$494$	23.4150	+	32.2712i	1.05349	+	1.45195i
$495$			24.9892i			1.12318i
$496$	−17.4035	+	1.13809i	−0.781440	+	0.0511017i
$497$	−3.31247	+	9.10093i	−0.148584	+	0.408233i
$498$	−10.3292	+	29.8886i	−0.462863	+	1.33934i
$499$	−6.10950	+	1.07727i	−0.273499	+	0.0482252i	−0.308715	−	0.951154i	$-0.599899\pi$
$499$	−6.10950	+	1.07727i	−0.273499	+	0.0482252i	0.0352164	+	0.999380i	$0.488788\pi$
$500$	−1.99893	+	0.0652897i	−0.0893950	+	0.00291984i
$501$	0.987219	−	1.70991i	0.0441057	−	0.0763933i
$502$	6.22329	+	16.2670i	0.277759	+	0.726033i
$503$	−10.5894	+	12.6199i	−0.472156	+	0.562694i	−0.948586	−	0.316519i	$-0.897486\pi$
$503$	−10.5894	+	12.6199i	−0.472156	+	0.562694i	0.476430	+	0.879212i	$0.341930\pi$
$504$	−6.26375	−	14.8964i	−0.279009	−	0.663539i
$505$	−0.256497	−	0.444265i	−0.0114139	−	0.0197695i
$506$	−13.1948	−	10.7096i	−0.586579	−	0.476099i
$507$	−81.2820	+	29.5842i	−3.60986	+	1.31388i
$508$	2.01335	−	14.0949i	0.0893279	−	0.625361i
$509$	−28.3984	−	5.00740i	−1.25874	−	0.221949i	−0.495808	−	0.868432i	$-0.665128\pi$
$509$	−28.3984	−	5.00740i	−1.25874	−	0.221949i	−0.762928	+	0.646483i	$0.776239\pi$
$510$	14.7961	−	26.6219i	0.655181	−	1.17884i
$511$	0.206917	+	0.246594i	0.00915346	+	0.0109087i
$512$	−22.3836	+	3.31265i	−0.989225	+	0.146400i
$513$	−37.8768	+	10.1690i	−1.67230	+	0.448971i
$514$	8.92854	+	1.42447i	0.393821	+	0.0628306i
$515$	−3.50978	+	2.94506i	−0.154660	+	0.129775i
$516$	47.3002	−	60.2608i	2.08227	−	2.65283i
$517$	−5.13776	+	29.1377i	−0.225958	+	1.28147i
$518$	−5.18393	+	0.0846368i	−0.227769	+	0.00371873i
$519$	−17.2987	−	47.5278i	−0.759329	−	2.08624i
$520$	15.3763	−	9.91169i	0.674296	−	0.434656i
$521$	14.9103	−	8.60844i	0.653230	−	0.377142i	−0.136463	−	0.990645i	$-0.543573\pi$
$521$	14.9103	−	8.60844i	0.653230	−	0.377142i	0.789693	+	0.613503i	$0.210240\pi$
$522$	−0.960280	−	1.10720i	−0.0420303	−	0.0484607i
$523$	−15.8972	−	13.3393i	−0.695136	−	0.583289i	0.225249	−	0.974301i	$-0.427680\pi$
$523$	−15.8972	−	13.3393i	−0.695136	−	0.583289i	−0.920385	+	0.391012i	$0.872125\pi$
$524$	2.01140	−	0.422795i	0.0878682	−	0.0184699i
$525$	−2.47416	−	1.42846i	−0.107981	−	0.0623430i
$526$	8.71770	−	1.68435i	0.380110	−	0.0734410i
$527$	−5.43561	−	30.8269i	−0.236779	−	1.34284i
$528$	34.5584	+	36.1109i	1.50396	+	1.57152i
$529$	−13.7924	−	5.02004i	−0.599672	−	0.218263i
$530$	−4.84593	+	2.90430i	−0.210494	+	0.126155i
$531$	−13.3791			−0.580603
$532$	−2.41335	−	7.94387i	−0.104632	−	0.344410i
$533$	7.98469			0.345855
$534$	−2.37589	+	1.42393i	−0.102815	+	0.0616196i
$535$	−6.65120	−	2.42084i	−0.287557	−	0.104662i
$536$	−14.9857	−	11.3722i	−0.647282	−	0.491205i
$537$	4.47045	+	25.3532i	0.192914	+	1.09407i
$538$	−3.30402	+	0.638370i	−0.142447	+	0.0275221i
$539$	21.9797	+	12.6900i	0.946733	+	0.546597i
$540$	3.70155	+	17.6097i	0.159289	+	0.757800i
$541$	20.3937	+	17.1124i	0.876795	+	0.735719i	0.965518	−	0.260338i	$-0.0838339\pi$
$541$	20.3937	+	17.1124i	0.876795	+	0.735719i	−0.0887223	+	0.996056i	$0.528278\pi$
$542$	−13.3444	−	15.3860i	−0.573190	−	0.660883i
$543$	−32.3122	+	18.6555i	−1.38665	+	0.800582i
$544$	−10.2896	−	39.2864i	−0.441165	−	1.68439i
$545$	0.825220	+	2.26727i	0.0353486	+	0.0971194i
$546$	26.1288	−	0.426599i	1.11821	−	0.0182568i
$547$	−0.626670	+	3.55402i	−0.0267945	+	0.151959i	−0.995270	−	0.0971511i	$-0.969027\pi$
$547$	−0.626670	+	3.55402i	−0.0267945	+	0.151959i	0.968475	+	0.249110i	$0.0801381\pi$
$548$	−1.85811	−	1.45848i	−0.0793747	−	0.0623032i
$549$	−4.44938	+	3.73348i	−0.189895	+	0.159341i
$550$	5.81721	+	0.928083i	0.248047	+	0.0395736i
$551$	−0.432197	−	0.616598i	−0.0184122	−	0.0262680i
$552$	−21.7721	−	11.1864i	−0.926682	−	0.476125i
$553$	−6.23210	−	7.42712i	−0.265016	−	0.315833i
$554$	−8.91495	+	16.0403i	−0.378760	+	0.681487i
$555$	11.3726	+	2.00530i	0.482740	+	0.0851202i
$556$	19.1648	+	2.73754i	0.812769	+	0.116098i
$557$	16.0920	−	5.85702i	0.681841	−	0.248170i	0.0222031	−	0.999753i	$-0.492932\pi$
$557$	16.0920	−	5.85702i	0.681841	−	0.248170i	0.659638	+	0.751584i	$0.270710\pi$
$558$	28.7222	+	23.3125i	1.21591	+	0.986896i
$559$	41.2926	+	71.5209i	1.74649	+	3.02501i
$560$	−3.70035	+	0.904888i	−0.156368	+	0.0382385i
$561$	−57.6637	+	68.7209i	−2.43456	+	2.90140i
$562$	2.68962	+	7.03038i	0.113455	+	0.296559i
$563$	−7.76774	+	13.4541i	−0.327371	+	0.567023i	−0.981989	−	0.188936i	$-0.939496\pi$
$563$	−7.76774	+	13.4541i	−0.327371	+	0.567023i	0.654618	+	0.755960i	$0.272829\pi$
$564$	1.39121	+	42.5938i	0.0585805	+	1.79352i
$565$	−4.50830	+	0.794934i	−0.189665	+	0.0334431i
$566$	−11.8600	+	34.3182i	−0.498514	+	1.44250i
$567$	−2.92920	+	8.04790i	−0.123015	+	0.337980i
$568$	−6.37562	−	28.0485i	−0.267515	−	1.17689i
$569$		−	14.7901i		−	0.620034i	−0.950731	−	0.310017i	$-0.899665\pi$
$569$		−	14.7901i		−	0.620034i	0.950731	−	0.310017i	$-0.100335\pi$
$570$	1.92126	+	18.3924i	0.0804725	+	0.770371i
$571$		−	7.89178i		−	0.330261i	−0.986272	−	0.165130i	$-0.947195\pi$
$571$		−	7.89178i		−	0.330261i	0.986272	−	0.165130i	$-0.0528045\pi$
$572$	−50.0050	+	20.0722i	−2.09081	+	0.839262i
$573$	3.17996	−	8.73686i	0.132845	−	0.364988i
$574$	−1.57146	−	0.543081i	−0.0655916	−	0.0226678i
$575$	−2.84103	+	0.500950i	−0.118479	+	0.0208910i
$576$	39.6061	+	27.1064i	1.65025	+	1.12943i
$577$	11.5898	−	20.0741i	0.482490	−	0.835697i	−0.517308	−	0.855799i	$-0.673066\pi$
$577$	11.5898	−	20.0741i	0.482490	−	0.835697i	0.999798	+	0.0201023i	$0.00639920\pi$
$578$	45.6231	−	17.4541i	1.89767	−	0.725993i
$579$	−23.9578	+	28.5517i	−0.995650	+	1.18657i
$580$	−0.293407	+	0.182422i	−0.0121831	+	0.00757467i
$581$	3.54938	+	6.14771i	0.147253	+	0.255050i
$582$	−41.9682	+	51.7071i	−1.73964	+	2.14333i
$583$	15.6368	−	5.69131i	0.647608	−	0.235710i
$584$	−0.913319	−	0.282613i	−0.0377934	−	0.0116946i
$585$	−38.2130	−	6.73798i	−1.57991	−	0.278581i
$586$	24.8564	+	13.8148i	1.02681	+	0.570685i
$587$	24.7990	+	29.5543i	1.02356	+	1.21984i	0.975273	+	0.221003i	$0.0709330\pi$
$587$	24.7990	+	29.5543i	1.02356	+	1.21984i	0.0482908	+	0.998833i	$0.484623\pi$
$588$	34.7418	+	11.3750i	1.43273	+	0.469098i
$589$	13.4455	+	13.4323i	0.554013	+	0.553470i
$590$	−0.496891	+	3.11450i	−0.0204567	+	0.128222i
$591$	−22.1835	+	18.6142i	−0.912509	+	0.765686i
$592$	12.8043	−	8.55281i	0.526254	−	0.351518i
$593$	2.51960	−	14.2893i	0.103467	−	0.586793i	−0.888354	−	0.459159i	$-0.848151\pi$
$593$	2.51960	−	14.2893i	0.103467	−	0.586793i	0.991821	−	0.127634i	$-0.0407381\pi$
$594$	−0.865217	−	52.9938i	−0.0355003	−	2.17436i
$595$	−2.33842	−	6.42475i	−0.0958657	−	0.263389i
$596$	−26.3648	+	23.6315i	−1.07994	+	0.967984i
$597$	34.6942	−	20.0307i	1.41994	−	0.819801i
$598$	19.9347	−	17.2895i	0.815190	−	0.707021i
$599$	−22.9923	−	19.2928i	−0.939440	−	0.788284i	0.0380477	−	0.999276i	$-0.487886\pi$
$599$	−22.9923	−	19.2928i	−0.939440	−	0.788284i	−0.977488	+	0.210992i	$0.932331\pi$
$600$	8.47474	−	0.415391i	0.345980	−	0.0169583i
$601$	31.3498	+	18.0998i	1.27879	+	0.738307i	0.976625	−	0.214950i	$-0.0689587\pi$
$601$	31.3498	+	18.0998i	1.27879	+	0.738307i	0.302161	+	0.953257i	$0.402292\pi$
$602$	−3.26226	−	16.8845i	−0.132960	−	0.688162i
$603$	6.92880	+	39.2952i	0.282163	+	1.60022i
$604$	15.1205	−	28.2834i	0.615243	−	1.15083i
$605$	−5.96765	−	2.17205i	−0.242619	−	0.0883063i
$606$	1.11880	+	1.86676i	0.0454481	+	0.0758319i
$607$	14.9040			0.604934			0.302467	−	0.953160i	$-0.402190\pi$
$607$	14.9040			0.604934			0.302467	+	0.953160i	$0.402190\pi$
$608$	18.8070	+	15.9467i	0.762724	+	0.646724i
$609$	−0.493523			−0.0199986
$610$	0.703865	+	1.17443i	0.0284987	+	0.0475512i
$611$	−43.1715	−	15.7131i	−1.74653	−	0.635685i
$612$	−40.6112	+	75.9647i	−1.64161	+	3.07069i
$613$	−3.18749	−	18.0771i	−0.128741	−	0.730128i	−0.979015	−	0.203788i	$-0.934675\pi$
$613$	−3.18749	−	18.0771i	−0.128741	−	0.730128i	0.850274	−	0.526341i	$-0.176436\pi$
$614$	−8.70294	−	45.0440i	−0.351222	−	1.81783i
$615$	3.20720	+	1.85168i	0.129327	+	0.0746668i
$616$	11.2067	−	0.549297i	0.451530	−	0.0221318i
$617$	33.3860	+	28.0142i	1.34407	+	1.12781i	0.980560	+	0.196220i	$0.0628667\pi$
$617$	33.3860	+	28.0142i	1.34407	+	1.12781i	0.363511	+	0.931590i	$0.381578\pi$
$618$	14.6842	−	12.7357i	0.590683	−	0.512305i
$619$	10.6756	−	6.16357i	0.429089	−	0.247735i	−0.269869	−	0.962897i	$-0.586980\pi$
$619$	10.6756	−	6.16357i	0.429089	−	0.247735i	0.698959	+	0.715162i	$0.253647\pi$
$620$	6.49362	−	5.82041i	0.260790	−	0.233753i
$621$	8.87739	+	24.3904i	0.356238	+	0.978755i
$622$	0.107534	+	6.58635i	0.00431172	+	0.264089i
$623$	−0.107973	+	0.612345i	−0.00432584	+	0.0245331i
$624$	−64.5382	+	43.1092i	−2.58360	+	1.72575i
$625$	0.766044	−	0.642788i	0.0306418	−	0.0257115i
$626$	−1.18657	+	7.43742i	−0.0474250	+	0.297259i
$627$	4.72055	−	54.2625i	0.188521	−	2.16703i
$628$	−7.71658	−	2.52653i	−0.307925	−	0.100819i
$629$	17.7643	+	21.1707i	0.708310	+	0.844131i
$630$	7.06239	+	3.92517i	0.281373	+	0.156382i
$631$	43.0711	+	7.59460i	1.71463	+	0.302336i	0.942768	−	0.333448i	$-0.108212\pi$
$631$	43.0711	+	7.59460i	1.71463	+	0.302336i	0.771866	+	0.635785i	$0.219323\pi$
$632$	27.5081	+	8.51196i	1.09421	+	0.338588i
$633$	−20.2478	+	7.36959i	−0.804777	+	0.292915i
$634$	−23.2580	+	28.6551i	−0.923694	+	1.13804i
$635$	3.55950	+	6.16523i	0.141254	+	0.244660i
$636$	20.3548	−	12.6553i	0.807119	−	0.501816i
$637$	−25.3318	+	30.1893i	−1.00368	+	1.19614i
$638$	0.950434	−	0.363608i	0.0376281	−	0.0143954i
$639$	−30.5049	+	52.8360i	−1.20675	+	2.09016i
$640$	7.78102	−	8.21314i	0.307572	−	0.324653i
$641$	1.57424	−	0.277581i	0.0621786	−	0.0109638i	−0.142472	−	0.989799i	$-0.545505\pi$
$641$	1.57424	−	0.277581i	0.0621786	−	0.0109638i	0.204651	+	0.978835i	$0.434394\pi$
$642$	28.3813	+	9.80830i	1.12012	+	0.387103i
$643$	11.2176	−	30.8201i	0.442379	−	1.21543i	−0.495543	−	0.868583i	$-0.665031\pi$
$643$	11.2176	−	30.8201i	0.442379	−	1.21543i	0.937923	−	0.346844i	$-0.112747\pi$
$644$	−5.09929	+	2.04688i	−0.200940	+	0.0806582i
$645$			38.3036i			1.50820i
$646$	−24.7707	+	36.6736i	−0.974591	+	1.44291i
$647$			0.913208i			0.0359019i	0.999839	+	0.0179509i	$0.00571427\pi$
$647$			0.913208i			0.0359019i	−0.999839	+	0.0179509i	$0.994286\pi$
$648$	−5.63792	−	24.8032i	−0.221479	−	0.974360i
$649$	3.17718	−	8.72922i	0.124715	−	0.342652i
$650$	−2.98774	+	8.64532i	−0.117189	+	0.339097i
$651$	12.2674	−	2.16307i	0.480797	−	0.0847774i
$652$	−1.29001	−	39.4955i	−0.0505208	−	1.54676i
$653$	−15.9116	+	27.5597i	−0.622670	+	1.07850i	0.366317	+	0.930490i	$0.380619\pi$
$653$	−15.9116	+	27.5597i	−0.622670	+	1.07850i	−0.988987	+	0.148005i	$0.952715\pi$
$654$	−3.65752	−	9.56038i	−0.143020	−	0.373840i
$655$	−0.660577	+	0.787245i	−0.0258109	+	0.0307602i
$656$	4.79668	−	1.17299i	0.187279	−	0.0457974i
$657$	1.01391	+	1.75614i	0.0395562	+	0.0685134i
$658$	7.42782	+	6.02882i	0.289567	+	0.235028i
$659$	20.1104	−	7.31959i	0.783391	−	0.285131i	0.0808048	−	0.996730i	$-0.474251\pi$
$659$	20.1104	−	7.31959i	0.783391	−	0.285131i	0.702586	+	0.711599i	$0.252029\pi$
$660$	−24.7402	−	3.53395i	−0.963013	−	0.137559i
$661$	−27.9891	−	4.93523i	−1.08865	−	0.191958i	−0.399612	−	0.916684i	$-0.630855\pi$
$661$	−27.9891	−	4.93523i	−1.08865	−	0.191958i	−0.689037	+	0.724726i	$0.741966\pi$
$662$	−3.70132	+	6.65963i	−0.143856	+	0.258834i
$663$	−89.5385	−	106.708i	−3.47739	−	4.14419i
$664$	−18.7526	−	9.63500i	−0.727742	−	0.373910i
$665$	3.40162	+	2.37935i	0.131909	+	0.0922674i
$666$	−32.2521	−	5.14553i	−1.24974	−	0.199385i
$667$	−0.381758	+	0.320333i	−0.0147817	+	0.0124033i
$668$	1.03547	+	0.812764i	0.0400634	+	0.0314468i
$669$	9.88407	−	56.0553i	0.382140	−	2.16722i
$670$	9.40482	−	0.153550i	0.363340	−	0.00593217i
$671$	−1.37931	−	3.78961i	−0.0532476	−	0.146296i
$672$	15.6338	−	4.09471i	0.603088	−	0.157957i
$673$	25.3071	−	14.6111i	0.975519	−	0.563216i	0.0746045	−	0.997213i	$-0.476231\pi$
$673$	25.3071	−	14.6111i	0.975519	−	0.563216i	0.900914	+	0.433997i	$0.142897\pi$
$674$	−4.39572	−	5.06823i	−0.169317	−	0.195221i
$675$	−6.89229	−	5.78332i	−0.265285	−	0.222600i
$676$	−11.8626	−	56.4349i	−0.456254	−	2.17057i
$677$	−25.2297	−	14.5663i	−0.969654	−	0.559830i	−0.0705234	−	0.997510i	$-0.522467\pi$
$677$	−25.2297	−	14.5663i	−0.969654	−	0.559830i	−0.899131	+	0.437680i	$0.855800\pi$
$678$	19.0686	−	3.68425i	0.732327	−	0.141493i
$679$	2.59593	+	14.7222i	0.0996226	+	0.564988i
$680$	16.1755	+	12.2751i	0.620301	+	0.470730i
$681$	21.9325	+	7.98276i	0.840454	+	0.305900i
$682$	−22.0311	+	13.2038i	−0.843613	+	0.505599i
$683$	34.8653			1.33408			0.667042	−	0.745020i	$-0.267560\pi$
$683$	34.8653			1.33408			0.667042	+	0.745020i	$0.267560\pi$
$684$	−6.28209	−	51.9213i	−0.240202	−	1.98526i
$685$	1.18108			0.0451266
$686$	15.1255	−	9.06512i	0.577495	−	0.346108i
$687$	63.2512	+	23.0216i	2.41319	+	0.878328i
$688$	35.3127	+	36.8991i	1.34628	+	1.40676i
$689$	4.48682	+	25.4460i	0.170934	+	0.969415i
$690$	12.0166	−	2.32173i	0.457465	−	0.0883869i
$691$	−23.8875	−	13.7914i	−0.908722	−	0.524651i	−0.0287021	−	0.999588i	$-0.509137\pi$
$691$	−23.8875	−	13.7914i	−0.908722	−	0.524651i	−0.880020	+	0.474937i	$0.842471\pi$
$692$	32.9990	−	6.93639i	1.25443	−	0.263682i
$693$	−18.2306	−	15.2973i	−0.692524	−	0.581097i
$694$	17.4496	+	20.1193i	0.662379	+	0.763717i
$695$	−8.38284	+	4.83983i	−0.317979	+	0.183585i
$696$	1.23197	−	0.794135i	0.0466976	−	0.0301016i
$697$	3.03123	+	8.32825i	0.114816	+	0.315455i
$698$	46.6601	−	0.761809i	1.76611	−	0.0288349i
$699$	−8.15100	+	46.2266i	−0.308299	+	1.74845i
$700$	1.17603	−	1.49827i	0.0444497	−	0.0566293i
$701$	37.8216	−	31.7361i	1.42850	−	1.19866i	0.481913	−	0.876219i	$-0.339942\pi$
$701$	37.8216	−	31.7361i	1.42850	−	1.19866i	0.946591	−	0.322438i	$-0.104502\pi$
$702$	81.2703	+	12.9659i	3.06735	+	0.489368i
$703$	−16.2100	−	4.33495i	−0.611373	−	0.163496i
$704$	−27.0910	+	19.4040i	−1.02103	+	0.731317i
$705$	−13.6967	−	16.3231i	−0.515847	−	0.614763i
$706$	−9.99371	+	17.9813i	−0.376118	+	0.676734i
$707$	0.481125	+	0.0848354i	0.0180946	+	0.00319056i
$708$	1.89206	−	13.2458i	0.0711079	−	0.497808i
$709$	−22.0315	+	8.01881i	−0.827410	+	0.301153i	−0.720796	−	0.693148i	$-0.756223\pi$
$709$	−22.0315	+	8.01881i	−0.827410	+	0.301153i	−0.106615	+	0.994300i	$0.534001\pi$
$710$	11.1667	+	9.06350i	0.419079	+	0.340147i
$711$	−30.5377	−	52.8928i	−1.14525	−	1.98363i
$712$	−0.715803	−	1.70232i	−0.0268259	−	0.0637971i
$713$	8.08527	−	9.63565i	0.302796	−	0.360858i
$714$	10.3643	+	27.0911i	0.387873	+	1.01386i
$715$	13.4708	−	23.3321i	0.503779	−	0.872571i
$716$	−17.1544	+	0.560303i	−0.641092	+	0.0209395i
$717$	−27.9149	+	4.92214i	−1.04250	+	0.183821i
$718$	11.8156	−	34.1896i	0.440954	−	1.27594i
$719$	−1.75593	+	4.82439i	−0.0654852	+	0.179919i	−0.968119	−	0.250490i	$-0.919408\pi$
$719$	−1.75593	+	4.82439i	−0.0654852	+	0.179919i	0.902634	+	0.430409i	$0.141631\pi$
$720$	−23.9457	+	1.56591i	−0.892404	+	0.0583581i
$721$		−	4.36337i		−	0.162500i
$722$	−0.464981	−	26.8660i	−0.0173048	−	0.999850i
$723$		−	35.7218i		−	1.32851i
$724$	−9.26630	−	23.0847i	−0.344379	−	0.857936i
$725$	0.0590829	−	0.162329i	0.00219428	−	0.00602874i
$726$	25.4645	+	8.80029i	0.945078	+	0.326609i
$727$	−18.7251	+	3.30174i	−0.694475	+	0.122455i	−0.509733	−	0.860332i	$-0.670256\pi$
$727$	−18.7251	+	3.30174i	−0.694475	+	0.122455i	−0.184742	+	0.982787i	$0.559145\pi$
$728$	−2.18175	+	17.2851i	−0.0808609	+	0.640630i
$729$	13.5106	−	23.4010i	0.500392	−	0.866705i
$730$	0.446465	−	0.170804i	0.0165244	−	0.00632175i
$731$	−58.9223	+	70.2209i	−2.17932	+	2.59721i
$732$	−3.06706	−	4.93304i	−0.113362	−	0.182331i
$733$	−15.6083	−	27.0343i	−0.576505	−	0.998536i	−0.995876	−	0.0907214i	$-0.971083\pi$
$733$	−15.6083	−	27.0343i	−0.576505	−	0.998536i	0.419371	−	0.907815i	$-0.362251\pi$
$734$	13.2399	−	16.3122i	0.488693	−	0.602096i
$735$	−17.1760	+	6.25155i	−0.633546	+	0.230592i
$736$	9.43555	−	13.3149i	0.347799	−	0.490794i
$737$	−27.2837	−	4.81084i	−1.00501	−	0.177210i
$738$	−9.15481	−	5.08810i	−0.336993	−	0.187296i
$739$	−0.673373	−	0.802495i	−0.0247704	−	0.0295202i	0.753517	−	0.657428i	$-0.228356\pi$
$739$	−0.673373	−	0.802495i	−0.0247704	−	0.0295202i	−0.778287	+	0.627908i	$0.783911\pi$
$740$	−2.39565	+	7.31683i	−0.0880657	+	0.268972i
$741$	81.7043	+	21.8497i	3.00148	+	0.802668i
$742$	0.847671	−	5.31319i	0.0311190	−	0.195053i
$743$	−39.4622	+	33.1127i	−1.44773	+	1.21479i	−0.513510	+	0.858084i	$0.671655\pi$
$743$	−39.4622	+	33.1127i	−1.44773	+	1.21479i	−0.934217	+	0.356704i	$0.883900\pi$
$744$	−27.1421	+	25.1393i	−0.995078	+	0.921650i
$745$	3.07405	−	17.4338i	0.112625	−	0.638726i
$746$	−0.0400776	−	2.45472i	−0.00146735	−	0.0898736i
$747$	15.2944	+	42.0211i	0.559594	+	1.53747i
$748$	−39.9193	−	44.5365i	−1.45959	−	1.62842i
$749$	5.83768	−	3.37039i	0.213304	−	0.123151i
$750$	−3.20496	+	2.77969i	−0.117029	+	0.101500i
$751$	−13.7005	−	11.4961i	−0.499937	−	0.419497i	0.357634	−	0.933862i	$-0.383583\pi$
$751$	−13.7005	−	11.4961i	−0.499937	−	0.419497i	−0.857572	+	0.514364i	$0.828028\pi$
$752$	−28.2429	−	3.09735i	−1.02991	−	0.112949i
$753$	31.9954	+	18.4725i	1.16598	+	0.673176i
$754$	0.299751	+	1.55143i	0.0109163	+	0.0564997i
$755$	2.78457	+	15.7921i	0.101341	+	0.574733i
$756$	−15.1129	−	8.07945i	−0.549651	−	0.293847i
$757$	24.8317	+	9.03801i	0.902524	+	0.328492i	0.751264	−	0.660002i	$-0.229445\pi$
$757$	24.8317	+	9.03801i	0.902524	+	0.328492i	0.151260	+	0.988494i	$0.451667\pi$
$758$	22.2946	+	37.1995i	0.809777	+	1.35115i
$759$	−36.0482			−1.30847
$760$	−12.3200	−	0.465923i	−0.446894	−	0.0169008i
$761$	14.0350			0.508770			0.254385	−	0.967103i	$-0.418127\pi$
$761$	14.0350			0.508770			0.254385	+	0.967103i	$0.418127\pi$
$762$	−15.5260	−	25.9057i	−0.562447	−	0.938465i
$763$	−2.15923	−	0.785896i	−0.0781695	−	0.0284514i
$764$	5.46651	+	2.92243i	0.197771	+	0.105730i
$765$	−7.47893	−	42.4151i	−0.270401	−	1.53352i
$766$	5.41619	+	28.0327i	0.195695	+	1.01286i
$767$	12.4919	+	7.21219i	0.451056	+	0.260417i
$768$	−32.4374	+	35.3781i	−1.17048	+	1.27660i
$769$	6.99046	+	5.86569i	0.252082	+	0.211522i	0.760068	−	0.649843i	$-0.225165\pi$
$769$	6.99046	+	5.86569i	0.252082	+	0.211522i	−0.507986	+	0.861365i	$0.669610\pi$
$770$	−4.23812	+	3.67576i	−0.152731	+	0.132465i
$771$	16.6095	−	9.58950i	0.598177	−	0.345357i
$772$	−16.5854	−	18.5038i	−0.596922	−	0.665965i
$773$	−11.5647	−	31.7738i	−0.415954	−	1.14282i	−0.953973	−	0.299891i	$-0.903050\pi$
$773$	−11.5647	−	31.7738i	−0.415954	−	1.14282i	0.538020	−	0.842932i	$-0.319173\pi$
$774$	−1.76844	−	108.315i	−0.0635651	−	3.89331i
$775$	−0.757135	+	4.29393i	−0.0271971	+	0.154242i
$776$	−30.1699	−	32.5736i	−1.08304	−	1.16932i
$777$	−8.42477	+	7.06922i	−0.302237	+	0.253607i
$778$	3.63919	−	22.8104i	0.130471	−	0.817791i
$779$	−4.40944	−	3.08430i	−0.157984	−	0.110507i
$780$	12.0749	−	36.8794i	0.432351	−	1.32050i
$781$	−27.2289	−	32.4501i	−0.974326	−	1.16116i
$782$	25.6013	+	14.2288i	0.915499	+	0.508820i
$783$	−1.53063	−	0.269892i	−0.0547004	−	0.00964515i
$784$	−10.7828	+	21.8571i	−0.385099	+	0.780611i
$785$	3.81499	−	1.38854i	0.136163	−	0.0495593i
$786$	2.74757	−	3.38516i	0.0980027	−	0.120745i
$787$	−26.6671	−	46.1888i	−0.950580	−	1.64645i	−0.744174	−	0.667986i	$-0.767157\pi$
$787$	−26.6671	−	46.1888i	−0.950580	−	1.64645i	−0.206405	−	0.978467i	$-0.566177\pi$
$788$	−10.1939	−	16.3959i	−0.363144	−	0.584080i
$789$	12.1064	−	14.4279i	0.431000	−	0.513645i
$790$	−13.4470	+	5.14443i	−0.478423	+	0.183031i
$791$	2.17985	−	3.77561i	0.0775065	−	0.134245i
$792$	70.1237	+	8.85108i	2.49174	+	0.314509i
$793$	6.16692	−	1.08739i	0.218994	−	0.0386145i
$794$	−35.6226	−	12.3108i	−1.26420	−	0.436895i
$795$	−4.09880	+	11.2614i	−0.145370	+	0.399399i
$796$	9.94938	+	24.7864i	0.352646	+	0.878531i
$797$			25.6742i			0.909426i	0.890638	+	0.454713i	$0.150258\pi$
$797$			25.6742i			0.909426i	−0.890638	+	0.454713i	$0.849742\pi$
$798$	−14.5941	−	9.85738i	−0.516625	−	0.348947i
$799$		−	50.9942i		−	1.80404i
$800$	−0.524802	+	5.63246i	−0.0185545	+	0.199137i
$801$	−1.33966	+	3.68069i	−0.0473346	+	0.130051i
$802$	0.151838	−	0.439360i	0.00536160	−	0.0155143i
$803$	−1.38657	+	0.244490i	−0.0489311	+	0.00862787i
$804$	−39.8836	+	1.30269i	−1.40659	+	0.0459423i
$805$	1.37369	−	2.37930i	0.0484163	−	0.0838594i
$806$	−14.2506	−	37.2497i	−0.501957	−	1.31206i
$807$	−4.58835	+	5.46818i	−0.161517	+	0.192489i
$808$	−1.33753	+	0.562414i	−0.0470541	+	0.0197857i
$809$	−21.1517	−	36.6358i	−0.743654	−	1.28805i	−0.950821	−	0.309741i	$-0.899758\pi$
$809$	−21.1517	−	36.6358i	−0.743654	−	1.28805i	0.207167	−	0.978306i	$-0.433576\pi$
$810$	9.87465	+	8.01480i	0.346960	+	0.281611i
$811$	31.4515	−	11.4474i	1.10441	−	0.401973i	0.275470	−	0.961310i	$-0.411166\pi$
$811$	31.4515	−	11.4474i	1.10441	−	0.401973i	0.828940	+	0.559337i	$0.188944\pi$
$812$	0.0465270	−	0.325723i	0.00163278	−	0.0114307i
$813$	−42.5459	−	7.50199i	−1.49215	−	0.263106i
$814$	11.0162	−	19.8210i	0.386119	−	0.694727i
$815$	12.7004	+	15.1357i	0.444875	+	0.530181i
$816$	−69.4648	−	50.9495i	−2.43175	−	1.78359i
$817$	4.82359	−	55.4469i	0.168756	−	1.93984i
$818$	22.9149	+	3.65586i	0.801199	+	0.127824i
$819$	28.3080	−	23.7532i	0.989161	−	0.830004i
$820$	−1.52446	+	1.94217i	−0.0532364	+	0.0678236i
$821$	−0.848753	+	4.81352i	−0.0296217	+	0.167993i	−0.996030	−	0.0890190i	$-0.971627\pi$
$821$	−0.848753	+	4.81352i	−0.0296217	+	0.167993i	0.966408	+	0.257012i	$0.0827379\pi$
$822$	−5.00999	+	0.0817970i	−0.174744	+	0.00285300i
$823$	−0.565248	−	1.55301i	−0.0197033	−	0.0541344i	0.929451	−	0.368945i	$-0.120281\pi$
$823$	−0.565248	−	1.55301i	−0.0197033	−	0.0541344i	−0.949154	+	0.314811i	$0.898059\pi$
$824$	7.02116	+	10.8921i	0.244594	+	0.379446i
$825$	10.8216	−	6.24784i	0.376759	−	0.217522i
$826$	−1.96798	−	2.26907i	−0.0684748	−	0.0789509i
$827$	−17.0279	−	14.2881i	−0.592116	−	0.496845i	0.296784	−	0.954945i	$-0.404086\pi$
$827$	−17.0279	−	14.2881i	−0.592116	−	0.496845i	−0.888901	+	0.458100i	$0.848530\pi$
$828$	−33.8735	+	7.12020i	−1.17718	+	0.247444i
$829$	−2.85839	−	1.65029i	−0.0992760	−	0.0573170i	0.449540	−	0.893260i	$-0.351588\pi$
$829$	−2.85839	−	1.65029i	−0.0992760	−	0.0573170i	−0.548816	+	0.835943i	$0.684921\pi$
$830$	10.3501	−	1.99974i	0.359257	−	0.0694120i
$831$	6.75963	+	38.3357i	0.234489	+	1.32985i
$832$	−22.3676	−	46.6591i	−0.775456	−	1.61761i
$833$	−41.1050	−	14.9610i	−1.42420	−	0.518368i
$834$	35.2239	−	21.1106i	1.21970	−	0.731000i
$835$	−0.658175			−0.0227771
$836$	35.3680	+	8.23116i	1.22323	+	0.284681i
$837$	39.2295			1.35597
$838$	−26.2452	+	15.7294i	−0.906624	+	0.543364i
$839$	−28.6432	−	10.4253i	−0.988873	−	0.359921i	−0.203590	−	0.979056i	$-0.565261\pi$
$839$	−28.6432	−	10.4253i	−0.988873	−	0.359921i	−0.785284	+	0.619136i	$0.787483\pi$
$840$	−4.88482	+	6.43694i	−0.168542	+	0.222096i
$841$	5.03062	+	28.5300i	0.173469	+	0.983794i
$842$	−4.85321	+	0.937689i	−0.167253	+	0.0323149i
$843$	13.8279	+	7.98356i	0.476259	+	0.274968i
$844$	−2.95504	−	14.0582i	−0.101717	−	0.483905i
$845$	22.0882	+	18.5342i	0.759857	+	0.637596i
$846$	39.4852	+	45.5261i	1.35753	+	1.56522i
$847$	5.23773	−	3.02401i	0.179971	−	0.103906i
$848$	6.43351	+	14.6272i	0.220928	+	0.502299i
$849$	26.3428	+	72.3763i	0.904084	+	2.48395i
$850$	−10.1515	+	0.165742i	−0.348195	+	0.00568490i
$851$	−1.92842	+	10.9366i	−0.0661052	+	0.374901i
$852$	−47.9957	−	37.6730i	−1.64430	−	1.29066i
$853$	−12.3632	+	10.3739i	−0.423307	+	0.355197i	−0.829419	−	0.558626i	$-0.811329\pi$
$853$	−12.3632	+	10.3739i	−0.423307	+	0.355197i	0.406112	+	0.913823i	$0.366884\pi$
$854$	−1.28767	−	0.205436i	−0.0440631	−	0.00702986i
$855$	18.4999	+	18.4818i	0.632683	+	0.632063i
$856$	−9.14910	+	17.8069i	−0.312710	+	0.608627i
$857$	3.97276	+	4.73455i	0.135707	+	0.161729i	0.829618	−	0.558332i	$-0.188558\pi$
$857$	3.97276	+	4.73455i	0.135707	+	0.161729i	−0.693911	+	0.720061i	$0.744114\pi$
$858$	−55.5257	+	99.9051i	−1.89562	+	3.41070i
$859$	−33.3594	−	5.88215i	−1.13821	−	0.200697i	−0.427385	−	0.904069i	$-0.640565\pi$
$859$	−33.3594	−	5.88215i	−1.13821	−	0.200697i	−0.710821	+	0.703373i	$0.751676\pi$
$860$	−25.2802	−	3.61108i	−0.862049	−	0.123137i
$861$	−3.31418	+	1.20626i	−0.112947	+	0.0411093i
$862$	26.6925	+	21.6651i	0.909151	+	0.737915i
$863$	−7.46012	−	12.9213i	−0.253945	−	0.439846i	0.710663	−	0.703532i	$-0.248395\pi$
$863$	−7.46012	−	12.9213i	−0.253945	−	0.439846i	−0.964609	+	0.263686i	$0.915062\pi$
$864$	50.7267	−	4.14987i	1.72576	−	0.141181i
$865$	−10.8375	+	12.9156i	−0.368484	+	0.439143i
$866$	12.5607	+	32.8323i	0.426828	+	1.11569i
$867$	51.8087	−	89.7353i	1.75952	−	3.04757i
$868$	0.271108	+	8.30036i	0.00920202	+	0.281732i
$869$	41.7619	−	7.36376i	1.41668	−	0.249798i
$870$	−0.239381	+	0.692673i	−0.00811577	+	0.0234838i
$871$	14.7133	−	40.4245i	0.498541	−	1.36973i
$872$	6.65463	−	1.51264i	0.225354	−	0.0512245i
$873$			94.1720i			3.18724i
$874$	−17.6872	+	1.84759i	−0.598278	+	0.0624958i
$875$			0.952347i			0.0321952i
$876$	−1.88203	+	0.755454i	−0.0635878	+	0.0255244i
$877$	11.7023	−	32.1518i	0.395158	−	1.08569i	−0.569455	−	0.822022i	$-0.692846\pi$
$877$	11.7023	−	32.1518i	0.395158	−	1.08569i	0.964614	−	0.263667i	$-0.0849319\pi$
$878$	−25.8843	−	8.94536i	−0.873554	−	0.301891i
$879$	59.4059	−	10.4749i	2.00371	−	0.353309i
$880$	4.66479	−	15.9953i	0.157250	−	0.539202i
$881$	−15.3006	+	26.5013i	−0.515489	+	0.892853i	0.484350	+	0.874874i	$0.339056\pi$
$881$	−15.3006	+	26.5013i	−0.515489	+	0.892853i	−0.999838	+	0.0179780i	$0.994277\pi$
$882$	48.2817	−	18.4712i	1.62573	−	0.621956i
$883$	−11.0379	+	13.1545i	−0.371456	+	0.442684i	−0.919098	−	0.394028i	$-0.871081\pi$
$883$	−11.0379	+	13.1545i	−0.371456	+	0.442684i	0.547642	+	0.836713i	$0.315526\pi$
$884$	78.8681	−	49.0352i	2.65262	−	1.64923i
$885$	3.34506	+	5.79382i	0.112443	+	0.194757i
$886$	19.4617	−	23.9779i	0.653830	−	0.805553i
$887$	−55.8063	+	20.3118i	−1.87379	+	0.682004i	−0.910524	+	0.413455i	$0.864322\pi$
$887$	−55.8063	+	20.3118i	−1.87379	+	0.682004i	−0.963266	+	0.268549i	$0.913456\pi$
$888$	9.65533	−	31.2031i	0.324012	−	1.04711i
$889$	−6.67676	−	1.17729i	−0.223931	−	0.0394851i
$890$	0.807071	+	0.448557i	0.0270531	+	0.0150357i
$891$	−24.0783	−	28.6955i	−0.806655	−	0.961334i
$892$	36.0645	+	11.8081i	1.20753	+	0.395364i
$893$	17.7712	+	25.3535i	0.594692	+	0.848423i
$894$	−11.8324	+	74.1653i	−0.395734	+	2.48046i
$895$	6.57404	−	5.51627i	0.219746	−	0.184389i
$896$	1.22861	+	10.7043i	0.0410450	+	0.357606i
$897$	9.71990	−	55.1243i	0.324538	−	1.84055i
$898$	−0.0332059	−	2.03383i	−0.00110810	−	0.0678698i
$899$	0.257611	+	0.707781i	0.00859181	+	0.0236058i
$900$	8.93466	−	8.00838i	0.297822	−	0.266946i
$901$	−24.8375	+	14.3400i	−0.827458	+	0.477733i
$902$	5.49377	−	4.76480i	0.182923	−	0.158650i
$903$	−27.9440	−	23.4478i	−0.929919	−	0.780295i
$904$	0.633893	+	12.9326i	0.0210830	+	0.430131i
$905$	10.7712	+	6.21876i	0.358047	+	0.206718i
$906$	−12.9056	−	66.7955i	−0.428759	−	2.21913i
$907$	2.55428	+	14.4861i	0.0848136	+	0.481002i	0.997397	+	0.0721103i	$0.0229734\pi$
$907$	2.55428	+	14.4861i	0.0848136	+	0.481002i	−0.912583	+	0.408891i	$0.865916\pi$
$908$	−7.33628	+	13.7228i	−0.243463	+	0.455406i
$909$	2.89196	+	1.05259i	0.0959202	+	0.0349121i
$910$	−4.47815	−	7.47197i	−0.148449	−	0.247693i
$911$	−20.6458			−0.684024			−0.342012	−	0.939696i	$-0.611108\pi$
$911$	−20.6458			−0.684024			−0.342012	+	0.939696i	$0.611108\pi$
$912$	52.2924	+	1.12315i	1.73158	+	0.0371913i
$913$	−31.0488			−1.02757
$914$	27.1449	+	45.2923i	0.897873	+	1.49814i
$915$	2.72923	+	0.993357i	0.0902255	+	0.0328394i
$916$	−21.1572	+	39.5752i	−0.699053	+	1.30760i
$917$	−0.169950	−	0.963835i	−0.00561225	−	0.0318286i
$918$	17.3289	+	89.6895i	0.571939	+	2.96019i
$919$	46.3459	+	26.7578i	1.52881	+	0.882659i	0.999412	+	0.0342860i	$0.0109157\pi$
$919$	46.3459	+	26.7578i	1.52881	+	0.882659i	0.529399	+	0.848373i	$0.322418\pi$
$920$	0.399465	+	8.14982i	0.0131700	+	0.268691i
$921$	−74.5481	−	62.5533i	−2.45644	−	2.06120i
$922$	11.0033	−	9.54329i	0.362376	−	0.314291i
$923$	56.9640	−	32.8882i	1.87499	−	1.08253i
$924$	17.7231	−	15.8857i	0.583046	−	0.522600i
$925$	−1.31661	−	3.61736i	−0.0432900	−	0.118938i
$926$	0.0500588	+	3.06605i	0.00164503	+	0.100757i
$927$	4.77300	−	27.0690i	0.156766	−	0.889063i
$928$	0.407982	+	0.887962i	0.0133927	+	0.0291488i
$929$	13.1099	−	11.0005i	0.430123	−	0.360916i	−0.401875	−	0.915694i	$-0.631641\pi$
$929$	13.1099	−	11.0005i	0.430123	−	0.360916i	0.831998	+	0.554779i	$0.187197\pi$
$930$	2.91430	−	18.2668i	0.0955637	−	0.598992i
$931$	25.6506	−	6.88653i	0.840664	−	0.225697i
$932$	−29.7410	−	9.73766i	−0.974198	−	0.318968i
$933$	8.98168	+	10.7040i	0.294047	+	0.350432i
$934$	25.2214	+	14.0176i	0.825269	+	0.458671i
$935$	29.4499	+	5.19282i	0.963116	+	0.169823i
$936$	−32.4428	+	104.845i	−1.06043	+	3.42698i
$937$	−52.5571	+	19.1292i	−1.71697	+	0.624924i	−0.997570	−	0.0696760i	$-0.977803\pi$
$937$	−52.5571	+	19.1292i	−1.71697	+	0.624924i	−0.719396	+	0.694600i	$0.755581\pi$
$938$	−5.64520	+	6.95519i	−0.184322	+	0.227095i
$939$	7.98799	+	13.8356i	0.260678	+	0.451508i
$940$	12.0644	−	7.50090i	0.393498	−	0.244653i
$941$	−19.3183	+	23.0226i	−0.629757	+	0.750515i	−0.982715	−	0.185124i	$-0.940731\pi$
$941$	−19.3183	+	23.0226i	−0.629757	+	0.750515i	0.352958	+	0.935639i	$0.385176\pi$
$942$	−16.0866	+	6.15426i	−0.524130	+	0.200517i
$943$	−1.78068	+	3.08423i	−0.0579870	+	0.100436i
$944$	8.56381	+	2.49750i	0.278728	+	0.0812868i
$945$	8.43833	−	1.48791i	0.274499	−	0.0484016i
$946$	71.0904	+	24.5681i	2.31135	+	0.798779i
$947$	−16.2006	+	44.5107i	−0.526448	+	1.44640i	0.336778	+	0.941584i	$0.390663\pi$
$947$	−16.2006	+	44.5107i	−0.526448	+	1.44640i	−0.863225	+	0.504819i	$0.831559\pi$
$948$	56.6845	−	22.7534i	1.84103	−	0.738996i
$949$		−	2.18624i		−	0.0709684i
$950$	4.98943	−	3.62017i	0.161878	−	0.117454i
$951$			78.2860i			2.53860i
$952$	−18.8571	+	4.28635i	−0.611163	+	0.138922i
$953$	11.0214	−	30.2810i	0.357018	−	0.980899i	−0.623041	−	0.782190i	$-0.714103\pi$
$953$	11.0214	−	30.2810i	0.357018	−	0.980899i	0.980058	−	0.198709i	$-0.0636749\pi$
$954$	11.0707	−	32.0342i	0.358427	−	1.03714i
$955$	−3.05224	+	0.538192i	−0.0987682	+	0.0174155i
$956$	−0.616917	−	18.8877i	−0.0199525	−	0.610873i
$957$	1.07929	−	1.86939i	0.0348886	−	0.0604289i
$958$	5.40026	+	14.1157i	0.174474	+	0.456058i
$959$	−0.723003	+	0.861642i	−0.0233470	+	0.0278239i
$960$	1.83607	−	23.9286i	0.0592588	−	0.772293i
$961$	5.99448	+	10.3827i	0.193370	+	0.334927i
$962$	27.3396	+	22.1903i	0.881464	+	0.715443i
$963$	39.9020	−	14.5231i	1.28582	−	0.468002i
$964$	23.5762	+	3.36768i	0.759340	+	0.108466i
$965$	12.2357	+	2.15748i	0.393880	+	0.0694517i
$966$	−5.66227	+	10.1879i	−0.182180	+	0.327790i
$967$	32.6773	+	38.9433i	1.05083	+	1.25233i	0.966709	+	0.255878i	$0.0823644\pi$
$967$	32.6773	+	38.9433i	1.05083	+	1.25233i	0.0841229	+	0.996455i	$0.473191\pi$
$968$	−8.20884	+	15.9769i	−0.263842	+	0.513516i
$969$	8.22766	+	93.5146i	0.264311	+	3.00412i
$970$	21.9222	+	3.49749i	0.703880	+	0.112298i
$971$	9.34990	−	7.84549i	0.300052	−	0.251774i	−0.480314	−	0.877097i	$-0.659477\pi$
$971$	9.34990	−	7.84549i	0.300052	−	0.251774i	0.780366	+	0.625323i	$0.215033\pi$
$972$	0.0222310	+	0.0174496i	0.000713059	+	0.000559697i
$973$	1.60076	−	9.07835i	0.0513180	−	0.291039i
$974$	−42.5904	+	0.695365i	−1.36469	+	0.0222809i
$975$	6.63620	+	18.2328i	0.212528	+	0.583917i
$976$	3.54494	−	1.55918i	0.113471	−	0.0499082i
$977$	−50.4067	+	29.1023i	−1.61265	+	0.931066i	−0.623901	+	0.781504i	$0.714453\pi$
$977$	−50.4067	+	29.1023i	−1.61265	+	0.931066i	−0.988752	+	0.149562i	$0.952214\pi$
$978$	−54.9219	−	63.3245i	−1.75621	−	2.02489i
$979$	−2.08334	−	1.74813i	−0.0665839	−	0.0558706i
$980$	−2.50673	−	11.9255i	−0.0800746	−	0.380945i
$981$	−12.5355	−	7.23740i	−0.400229	−	0.231072i
$982$	41.8528	−	8.08638i	1.33558	−	0.258047i
$983$	−4.29796	−	24.3750i	−0.137084	−	0.777440i	−0.973386	−	0.229172i	$-0.926398\pi$
$983$	−4.29796	−	24.3750i	−0.137084	−	0.777440i	0.836302	−	0.548269i	$-0.184713\pi$
$984$	6.33208	−	8.34406i	0.201859	−	0.265999i
$985$	9.07111	+	3.30161i	0.289029	+	0.105198i
$986$	−1.50439	+	0.901619i	−0.0479094	+	0.0287134i
$987$	20.2929			0.645929
$988$	−22.1234	+	51.8647i	−0.703840	+	1.65004i
$989$	−36.8351			−1.17129
$990$	−30.3128	+	18.1673i	−0.963406	+	0.577394i
$991$	29.5609	+	10.7593i	0.939032	+	0.341780i	0.765783	−	0.643099i	$-0.222351\pi$
$991$	29.5609	+	10.7593i	0.939032	+	0.341780i	0.173248	+	0.984878i	$0.444574\pi$
$992$	−14.0330	−	20.2837i	−0.445548	−	0.644008i
$993$	2.80647	+	15.9163i	0.0890605	+	0.505087i
$994$	−13.4480	+	2.59828i	−0.426543	+	0.0824125i
$995$	−11.5652	−	6.67719i	−0.366642	−	0.211681i
$996$	−43.7654	+	9.19949i	−1.38676	+	0.291497i
$997$	−5.70106	−	4.78376i	−0.180554	−	0.151503i	0.548031	−	0.836458i	$-0.315377\pi$
$997$	−5.70106	−	4.78376i	−0.180554	−	0.151503i	−0.728586	+	0.684955i	$0.759822\pi$
$998$	−5.74842	−	6.62788i	−0.181963	−	0.209802i
$999$	−29.9949	+	17.3175i	−0.948996	+	0.547903i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	380.2.be.b.51.13	✓	120
4.3	odd	2	inner	380.2.be.b.51.16	yes	120
19.3	odd	18	inner	380.2.be.b.231.16	yes	120
76.3	even	18	inner	380.2.be.b.231.13	yes	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
380.2.be.b.51.13	✓	120	1.1	even	1	trivial
380.2.be.b.51.16	yes	120	4.3	odd	2	inner
380.2.be.b.231.13	yes	120	76.3	even	18	inner
380.2.be.b.231.16	yes	120	19.3	odd	18	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:	\( N \)	\(=\)	\( 380 = 2^{2} \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	380.be (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.727006 + 1.21304i) q^{2} +(2.81895 + 1.02602i) q^{3} +(-0.942924 + 1.76377i) q^{4} +(-0.173648 - 0.984808i) q^{5} +(0.804801 + 4.16542i) q^{6} +(0.824757 + 0.476173i) q^{7} +(-2.82504 + 0.138470i) q^{8} +(4.59567 + 3.85622i) q^{9} +O(q^{10})\)	\(q+(0.727006 + 1.21304i) q^{2} +(2.81895 + 1.02602i) q^{3} +(-0.942924 + 1.76377i) q^{4} +(-0.173648 - 0.984808i) q^{5} +(0.804801 + 4.16542i) q^{6} +(0.824757 + 0.476173i) q^{7} +(-2.82504 + 0.138470i) q^{8} +(4.59567 + 3.85622i) q^{9} +(1.06837 - 0.926603i) q^{10} +(-3.60735 + 2.08271i) q^{11} +(-4.46772 + 4.00454i) q^{12} +(-2.21216 - 6.07786i) q^{13} +(0.0219863 + 1.34664i) q^{14} +(0.520922 - 2.95429i) q^{15} +(-2.22179 - 3.32621i) q^{16} +(5.49957 - 4.61469i) q^{17} +(-1.33667 + 8.37821i) q^{18} +(-1.12610 + 4.21093i) q^{19} +(1.90071 + 0.622323i) q^{20} +(1.83639 + 2.18852i) q^{21} +(-5.14897 - 2.86172i) q^{22} +(2.84103 + 0.500950i) q^{23} +(-8.10572 - 2.50819i) q^{24} +(-0.939693 + 0.342020i) q^{25} +(5.76443 - 7.10208i) q^{26} +(4.49863 + 7.79185i) q^{27} +(-1.61754 + 1.00569i) q^{28} +(-0.111039 + 0.132332i) q^{29} +(3.96239 - 1.51589i) q^{30} +(2.18008 - 3.77601i) q^{31} +(2.41957 - 5.11329i) q^{32} +(-12.3058 + 2.16985i) q^{33} +(9.59602 + 3.31629i) q^{34} +(0.325722 - 0.894913i) q^{35} +(-11.1349 + 4.46958i) q^{36} +3.84952i q^{37} +(-5.92670 + 1.69536i) q^{38} -19.4029i q^{39} +(0.626928 + 2.75807i) q^{40} +(-0.422225 + 1.16006i) q^{41} +(-1.31970 + 3.81868i) q^{42} +(-12.5744 + 2.21721i) q^{43} +(-0.271958 - 8.32638i) q^{44} +(2.99961 - 5.19547i) q^{45} +(1.45777 + 3.81047i) q^{46} +(4.56576 - 5.44126i) q^{47} +(-2.85038 - 11.6560i) q^{48} +(-3.04652 - 5.27672i) q^{49} +(-1.09805 - 0.891233i) q^{50} +(20.2378 - 7.36595i) q^{51} +(12.8059 + 1.82922i) q^{52} +(-3.93418 - 0.693702i) q^{53} +(-6.18128 + 11.1217i) q^{54} +(2.67747 + 3.19089i) q^{55} +(-2.39590 - 1.23100i) q^{56} +(-7.49491 + 10.7150i) q^{57} +(-0.241250 - 0.0384892i) q^{58} +(-1.70839 + 1.43351i) q^{59} +(4.71951 + 3.70446i) q^{60} +(-0.168121 + 0.953461i) q^{61} +(6.16538 - 0.100661i) q^{62} +(1.95408 + 5.36878i) q^{63} +(7.96165 - 0.782363i) q^{64} +(-5.60139 + 3.23396i) q^{65} +(-11.5785 - 13.3500i) q^{66} +(5.09504 + 4.27524i) q^{67} +(2.95358 + 14.0513i) q^{68} +(7.49474 + 4.32709i) q^{69} +(1.32237 - 0.255494i) q^{70} +(1.76594 + 10.0151i) q^{71} +(-13.5169 - 10.2576i) q^{72} +(0.317628 + 0.115607i) q^{73} +(-4.66961 + 2.79862i) q^{74} -2.99987 q^{75} +(-6.36529 - 5.95677i) q^{76} -3.96692 q^{77} +(23.5365 - 14.1061i) q^{78} +(-9.56659 - 3.48195i) q^{79} +(-2.88987 + 2.76562i) q^{80} +(1.56161 + 8.85631i) q^{81} +(-1.71415 + 0.331191i) q^{82} +(6.45533 + 3.72698i) q^{83} +(-5.59164 + 1.17536i) q^{84} +(-5.49957 - 4.61469i) q^{85} +(-11.8313 - 13.6414i) q^{86} +(-0.448790 + 0.259109i) q^{87} +(9.90250 - 6.38322i) q^{88} +(0.223306 + 0.613529i) q^{89} +(8.48304 - 0.138501i) q^{90} +(1.06962 - 6.06613i) q^{91} +(-3.56244 + 4.53857i) q^{92} +(10.0198 - 8.40762i) q^{93} +(9.91980 + 1.58261i) q^{94} +(4.34250 + 0.377775i) q^{95} +(12.0670 - 11.9316i) q^{96} +(10.0901 + 12.0249i) q^{97} +(4.18603 - 7.53175i) q^{98} +(-24.6095 - 4.33933i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 120 q + 3 q^{2} - 3 q^{4} + 3 q^{6} - 36 q^{8} + 6 q^{9}+O(q^{10}) \) 120 * q + 3 * q^2 - 3 * q^4 + 3 * q^6 - 36 * q^8 + 6 * q^9	\( 120 q + 3 q^{2} - 3 q^{4} + 3 q^{6} - 36 q^{8} + 6 q^{9} + 3 q^{10} - 12 q^{13} - 18 q^{14} + 9 q^{16} + 48 q^{17} - 12 q^{21} - 18 q^{24} - 24 q^{26} + 69 q^{28} - 12 q^{30} - 27 q^{32} + 6 q^{33} - 18 q^{34} - 72 q^{36} - 48 q^{38} - 36 q^{41} - 27 q^{42} - 99 q^{44} + 60 q^{45} + 27 q^{46} - 63 q^{48} + 60 q^{49} + 33 q^{52} - 24 q^{53} + 21 q^{54} - 48 q^{57} + 6 q^{60} - 24 q^{61} + 54 q^{62} + 84 q^{64} - 18 q^{65} - 132 q^{66} + 66 q^{68} - 72 q^{69} + 36 q^{70} - 42 q^{72} + 66 q^{74} + 180 q^{76} + 60 q^{77} + 114 q^{78} + 27 q^{80} - 66 q^{81} + 33 q^{82} - 144 q^{84} - 48 q^{85} + 75 q^{86} + 9 q^{88} - 3 q^{90} - 42 q^{92} - 144 q^{93} + 78 q^{96} + 42 q^{97} - 87 q^{98}+O(q^{100}) \) 120 * q + 3 * q^2 - 3 * q^4 + 3 * q^6 - 36 * q^8 + 6 * q^9 + 3 * q^10 - 12 * q^13 - 18 * q^14 + 9 * q^16 + 48 * q^17 - 12 * q^21 - 18 * q^24 - 24 * q^26 + 69 * q^28 - 12 * q^30 - 27 * q^32 + 6 * q^33 - 18 * q^34 - 72 * q^36 - 48 * q^38 - 36 * q^41 - 27 * q^42 - 99 * q^44 + 60 * q^45 + 27 * q^46 - 63 * q^48 + 60 * q^49 + 33 * q^52 - 24 * q^53 + 21 * q^54 - 48 * q^57 + 6 * q^60 - 24 * q^61 + 54 * q^62 + 84 * q^64 - 18 * q^65 - 132 * q^66 + 66 * q^68 - 72 * q^69 + 36 * q^70 - 42 * q^72 + 66 * q^74 + 180 * q^76 + 60 * q^77 + 114 * q^78 + 27 * q^80 - 66 * q^81 + 33 * q^82 - 144 * q^84 - 48 * q^85 + 75 * q^86 + 9 * q^88 - 3 * q^90 - 42 * q^92 - 144 * q^93 + 78 * q^96 + 42 * q^97 - 87 * q^98

Introduction

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