LMFDB - Embedded newform 99.2.m.b.25.3

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [99,2,Mod(4,99)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(99, base_ring=CyclotomicField(30)) chi = DirichletCharacter(H, H._module([10, 6])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("99.4"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 99 = 3^{2} \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	99.m (of order $15$, degree $8$, minimal)

Newform invariants

comment:select newform

sage:traces = [72] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

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

Self dual:	no
Analytic conductor:	$0.790518980011$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$9$ over $\Q(\zeta_{15})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label			25.3
Character	$\chi$	$=$	99.25
Dual form			99.2.m.b.4.3

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.150377 - 1.43074i) q^{2} +(-1.39014 + 1.03320i) q^{3} +(-0.0681222 + 0.0144798i) q^{4} +(0.364652 - 3.46943i) q^{5} +(1.68730 + 1.83357i) q^{6} +(-0.226061 - 0.251066i) q^{7} +(-0.858159 - 2.64114i) q^{8} +(0.864983 - 2.87260i) q^{9} -5.01870 q^{10} +(0.311608 + 3.30195i) q^{11} +(0.0797388 - 0.0905130i) q^{12} +(1.05656 + 0.470412i) q^{13} +(-0.325216 + 0.361189i) q^{14} +(3.07771 + 5.19975i) q^{15} +(-3.77700 + 1.68163i) q^{16} +(3.32650 + 2.41684i) q^{17} +(-4.24002 - 0.805597i) q^{18} +(1.38230 + 4.25428i) q^{19} +(0.0253958 + 0.241625i) q^{20} +(0.573658 + 0.115450i) q^{21} +(4.67739 - 0.942370i) q^{22} +(-2.64122 - 4.57472i) q^{23} +(3.92180 + 2.78491i) q^{24} +(-7.01322 - 1.49071i) q^{25} +(0.514156 - 1.58241i) q^{26} +(1.76553 + 4.88702i) q^{27} +(0.0190351 + 0.0138298i) q^{28} +(3.53177 + 3.92243i) q^{29} +(6.97670 - 5.18534i) q^{30} +(5.16539 + 2.29978i) q^{31} +(0.196895 + 0.341031i) q^{32} +(-3.84477 - 4.26823i) q^{33} +(2.95766 - 5.12281i) q^{34} +(-0.953487 + 0.692749i) q^{35} +(-0.0173299 + 0.208212i) q^{36} +(1.10852 - 3.41166i) q^{37} +(5.87893 - 2.61747i) q^{38} +(-1.95480 + 0.437705i) q^{39} +(-9.47618 + 2.01422i) q^{40} +(-7.47091 + 8.29728i) q^{41} +(0.0789147 - 0.838119i) q^{42} +(0.753935 - 1.30585i) q^{43} +(-0.0690391 - 0.220424i) q^{44} +(-9.65084 - 4.04849i) q^{45} +(-6.14808 + 4.46684i) q^{46} +(-8.62854 - 1.83405i) q^{47} +(3.51310 - 6.24010i) q^{48} +(0.719769 - 6.84814i) q^{49} +(-1.07819 + 10.2583i) q^{50} +(-7.12139 + 0.0771964i) q^{51} +(-0.0787868 - 0.0167467i) q^{52} +(-1.63163 + 1.18545i) q^{53} +(6.72658 - 3.26091i) q^{54} +(11.5695 + 0.122962i) q^{55} +(-0.469104 + 0.812512i) q^{56} +(-6.31713 - 4.48586i) q^{57} +(5.08090 - 5.64291i) q^{58} +(11.2967 - 2.40120i) q^{59} +(-0.284951 - 0.309654i) q^{60} +(7.19542 - 3.20361i) q^{61} +(2.51364 - 7.73619i) q^{62} +(-0.916749 + 0.432213i) q^{63} +(-6.23134 + 4.52733i) q^{64} +(2.01734 - 3.49413i) q^{65} +(-5.52858 + 6.14273i) q^{66} +(2.09211 + 3.62364i) q^{67} +(-0.261604 - 0.116474i) q^{68} +(8.39827 + 3.63059i) q^{69} +(1.13453 + 1.26002i) q^{70} +(-1.95860 - 1.42300i) q^{71} +(-8.32922 + 0.180600i) q^{72} +(-1.04183 + 3.20643i) q^{73} +(-5.04791 - 1.07297i) q^{74} +(11.2896 - 5.17379i) q^{75} +(-0.155767 - 0.269796i) q^{76} +(0.758565 - 0.824675i) q^{77} +(0.920202 + 2.73100i) q^{78} +(-0.892435 - 8.49095i) q^{79} +(4.45700 + 13.7172i) q^{80} +(-7.50361 - 4.96949i) q^{81} +(12.9947 + 9.44124i) q^{82} +(-10.3564 + 4.61098i) q^{83} +(-0.0407505 + 0.000441738i) q^{84} +(9.59808 - 10.6597i) q^{85} +(-1.98172 - 0.882318i) q^{86} +(-8.96233 - 1.80369i) q^{87} +(8.45352 - 3.65660i) q^{88} -3.45994 q^{89} +(-4.34109 + 14.4167i) q^{90} +(-0.120743 - 0.371608i) q^{91} +(0.246166 + 0.273395i) q^{92} +(-9.55675 + 2.13988i) q^{93} +(-1.32652 + 12.6210i) q^{94} +(15.2640 - 3.24446i) q^{95} +(-0.626066 - 0.270650i) q^{96} +(1.36288 + 12.9669i) q^{97} -9.90618 q^{98} +(9.75471 + 1.96101i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - q^{2} - 12 q^{3} + 11 q^{4} - 8 q^{5} - 7 q^{6} - 2 q^{7} + 6 q^{8} - 22 q^{9} - 8 q^{10} - 2 q^{11} - 16 q^{12} - 11 q^{13} - 10 q^{14} - 20 q^{15} - 9 q^{16} - 20 q^{17} - 21 q^{18} + 8 q^{19}+ \cdots - 182 q^{99}+O(q^{100}) $ 72 * q - q^2 - 12 * q^3 + 11 * q^4 - 8 * q^5 - 7 * q^6 - 2 * q^7 + 6 * q^8 - 22 * q^9 - 8 * q^10 - 2 * q^11 - 16 * q^12 - 11 * q^13 - 10 * q^14 - 20 * q^15 - 9 * q^16 - 20 * q^17 - 21 * q^18 + 8 * q^19 - 45 * q^20 - 16 * q^21 - 16 * q^22 + 20 * q^23 + 36 * q^24 + 11 * q^25 - 12 * q^26 + 27 * q^27 - 54 * q^28 - 23 * q^29 - 6 * q^30 + 3 * q^31 + 18 * q^32 + 28 * q^33 + 8 * q^34 + 18 * q^35 + 75 * q^36 - 42 * q^37 - q^38 - 11 * q^39 - 25 * q^40 + 10 * q^41 + 61 * q^42 - 8 * q^43 + 38 * q^44 + 40 * q^45 - 18 * q^46 - 34 * q^47 - 50 * q^48 + q^49 + 42 * q^51 - 27 * q^52 + 4 * q^53 + 34 * q^54 + 18 * q^55 + 114 * q^56 - 21 * q^57 + q^58 - 16 * q^59 - 63 * q^60 - 3 * q^61 + 184 * q^62 - 10 * q^63 + 26 * q^64 + 84 * q^65 + 93 * q^66 + 10 * q^67 - 23 * q^68 + 42 * q^69 - 46 * q^70 - 48 * q^71 + 2 * q^72 - 40 * q^73 + 68 * q^74 + 28 * q^75 + 16 * q^76 - 26 * q^77 - 64 * q^78 + 19 * q^79 - 56 * q^80 + 14 * q^81 + 94 * q^82 + 7 * q^83 - 15 * q^84 + 25 * q^85 - 77 * q^86 - 120 * q^87 + 18 * q^88 - 56 * q^89 - 64 * q^90 + 20 * q^91 + 50 * q^92 - 53 * q^93 - 63 * q^94 - 77 * q^95 - 97 * q^96 - 33 * q^97 - 328 * q^98 - 182 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

$n$	$46$	$56$
$\chi(n)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{2}{3}\right)$

Coefficient data

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

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

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

$2$	−0.150377	−	1.43074i	−0.106333	−	1.01169i	−0.909434	−	0.415847i	$-0.863485\pi$
$2$	−0.150377	−	1.43074i	−0.106333	−	1.01169i	0.803102	−	0.595842i	$-0.203182\pi$
$3$	−1.39014	+	1.03320i	−0.802598	+	0.596520i
$3$	−1.39014	+	1.03320i	−0.802598	+	0.596520i
$4$	−0.0681222	+	0.0144798i	−0.0340611	+	0.00723991i
$5$	0.364652	−	3.46943i	0.163077	−	1.55158i	−0.540737	−	0.841191i	$-0.681855\pi$
$5$	0.364652	−	3.46943i	0.163077	−	1.55158i	0.703815	−	0.710384i	$-0.251479\pi$
$6$	1.68730	+	1.83357i	0.688835	+	0.748550i
$7$	−0.226061	−	0.251066i	−0.0854428	−	0.0948939i	0.698907	−	0.715212i	$-0.253670\pi$
$7$	−0.226061	−	0.251066i	−0.0854428	−	0.0948939i	−0.784350	+	0.620318i	$0.787003\pi$
$8$	−0.858159	−	2.64114i	−0.303405	−	0.933784i
$9$	0.864983	−	2.87260i	0.288328	−	0.957532i
$10$	−5.01870			−1.58705
$11$	0.311608	+	3.30195i	0.0939533	+	0.995577i
$11$	0.311608	+	3.30195i	0.0939533	+	0.995577i
$12$	0.0797388	−	0.0905130i	0.0230186	−	0.0261288i
$13$	1.05656	+	0.470412i	0.293038	+	0.130469i	0.547990	−	0.836485i	$-0.315393\pi$
$13$	1.05656	+	0.470412i	0.293038	+	0.130469i	−0.254952	+	0.966954i	$0.582060\pi$
$14$	−0.325216	+	0.361189i	−0.0869178	+	0.0965319i
$15$	3.07771	+	5.19975i	0.794660	+	1.34257i
$16$	−3.77700	+	1.68163i	−0.944249	+	0.420407i
$17$	3.32650	+	2.41684i	0.806795	+	0.586171i	0.912900	−	0.408184i	$-0.133838\pi$
$17$	3.32650	+	2.41684i	0.806795	+	0.586171i	−0.106105	+	0.994355i	$0.533838\pi$
$18$	−4.24002	−	0.805597i	−0.999383	−	0.189881i
$19$	1.38230	+	4.25428i	0.317121	+	0.976000i	0.974872	+	0.222764i	$0.0715080\pi$
$19$	1.38230	+	4.25428i	0.317121	+	0.976000i	−0.657751	+	0.753236i	$0.728492\pi$
$20$	0.0253958	+	0.241625i	0.00567868	+	0.0540290i
$21$	0.573658	+	0.115450i	0.125182	+	0.0251933i
$22$	4.67739	−	0.942370i	0.997224	−	0.200914i
$23$	−2.64122	−	4.57472i	−0.550731	−	0.953895i	−0.998222	−	0.0596062i	$-0.981016\pi$
$23$	−2.64122	−	4.57472i	−0.550731	−	0.953895i	0.447491	−	0.894289i	$-0.352318\pi$
$24$	3.92180	+	2.78491i	0.800533	+	0.568467i
$25$	−7.01322	−	1.49071i	−1.40264	−	0.298141i
$26$	0.514156	−	1.58241i	0.100834	−	0.310336i
$27$	1.76553	+	4.88702i	0.339775	+	0.940507i
$28$	0.0190351	+	0.0138298i	0.00359730	+	0.00261359i
$29$	3.53177	+	3.92243i	0.655834	+	0.728377i	0.975706	−	0.219084i	$-0.0703067\pi$
$29$	3.53177	+	3.92243i	0.655834	+	0.728377i	−0.319872	+	0.947461i	$0.603640\pi$
$30$	6.97670	−	5.18534i	1.27377	−	0.946709i
$31$	5.16539	+	2.29978i	0.927731	+	0.413052i	0.814268	−	0.580490i	$-0.197139\pi$
$31$	5.16539	+	2.29978i	0.927731	+	0.413052i	0.113463	+	0.993542i	$0.463806\pi$
$32$	0.196895	+	0.341031i	0.0348064	+	0.0602864i
$33$	−3.84477	−	4.26823i	−0.669288	−	0.743003i
$34$	2.95766	−	5.12281i	0.507234	−	0.878555i
$35$	−0.953487	+	0.692749i	−0.161169	+	0.117096i
$36$	−0.0173299	+	0.208212i	−0.00288832	+	0.0347020i
$37$	1.10852	−	3.41166i	0.182239	−	0.560874i	−0.817651	−	0.575714i	$-0.804724\pi$
$37$	1.10852	−	3.41166i	0.182239	−	0.560874i	0.999890	+	0.0148406i	$0.00472409\pi$
$38$	5.87893	−	2.61747i	0.953688	−	0.424609i
$39$	−1.95480	+	0.437705i	−0.313019	+	0.0700888i
$40$	−9.47618	+	2.01422i	−1.49831	+	0.318477i
$41$	−7.47091	+	8.29728i	−1.16676	+	1.29582i	−0.219404	+	0.975634i	$0.570411\pi$
$41$	−7.47091	+	8.29728i	−1.16676	+	1.29582i	−0.947356	+	0.320184i	$0.896255\pi$
$42$	0.0789147	−	0.838119i	0.0121768	−	0.129325i
$43$	0.753935	−	1.30585i	0.114974	−	0.199141i	−0.802795	−	0.596255i	$-0.796655\pi$
$43$	0.753935	−	1.30585i	0.114974	−	0.199141i	0.917769	+	0.397114i	$0.129988\pi$
$44$	−0.0690391	−	0.220424i	−0.0104080	−	0.0332302i
$45$	−9.65084	−	4.04849i	−1.43866	−	0.603514i
$46$	−6.14808	+	4.46684i	−0.906484	+	0.658599i
$47$	−8.62854	−	1.83405i	−1.25860	−	0.267524i	−0.470131	−	0.882597i	$-0.655793\pi$
$47$	−8.62854	−	1.83405i	−1.25860	−	0.267524i	−0.788470	+	0.615073i	$0.789127\pi$
$48$	3.51310	−	6.24010i	0.507072	−	0.900681i
$49$	0.719769	−	6.84814i	0.102824	−	0.978306i
$50$	−1.07819	+	10.2583i	−0.152479	+	1.45074i
$51$	−7.12139	+	0.0771964i	−0.997194	+	0.0108097i
$52$	−0.0787868	−	0.0167467i	−0.0109258	−	0.00232234i
$53$	−1.63163	+	1.18545i	−0.224122	+	0.162834i	−0.694180	−	0.719801i	$-0.744233\pi$
$53$	−1.63163	+	1.18545i	−0.224122	+	0.162834i	0.470058	+	0.882635i	$0.344233\pi$
$54$	6.72658	−	3.26091i	0.915371	−	0.443754i
$55$	11.5695	+	0.122962i	1.56003	+	0.0165802i
$56$	−0.469104	+	0.812512i	−0.0626866	+	0.108576i
$57$	−6.31713	−	4.48586i	−0.836724	−	0.594166i
$58$	5.08090	−	5.64291i	0.667155	−	0.740950i
$59$	11.2967	−	2.40120i	1.47071	−	0.312609i	0.598256	−	0.801305i	$-0.295861\pi$
$59$	11.2967	−	2.40120i	1.47071	−	0.312609i	0.872454	+	0.488696i	$0.162527\pi$
$60$	−0.284951	−	0.309654i	−0.0367871	−	0.0399761i
$61$	7.19542	−	3.20361i	0.921279	−	0.410180i	0.109395	−	0.993998i	$-0.465109\pi$
$61$	7.19542	−	3.20361i	0.921279	−	0.410180i	0.811884	+	0.583819i	$0.198442\pi$
$62$	2.51364	−	7.73619i	0.319233	−	0.982497i
$63$	−0.916749	+	0.432213i	−0.115499	+	0.0544537i
$64$	−6.23134	+	4.52733i	−0.778918	+	0.565917i
$65$	2.01734	−	3.49413i	0.250220	−	0.433394i
$66$	−5.52858	+	6.14273i	−0.680521	+	0.756117i
$67$	2.09211	+	3.62364i	0.255592	+	0.442698i	0.965056	−	0.262043i	$-0.0843963\pi$
$67$	2.09211	+	3.62364i	0.255592	+	0.442698i	−0.709464	+	0.704741i	$0.751063\pi$
$68$	−0.261604	−	0.116474i	−0.0317241	−	0.0141245i
$69$	8.39827	+	3.63059i	1.01103	+	0.437072i
$70$	1.13453	+	1.26002i	0.135602	+	0.150602i
$71$	−1.95860	−	1.42300i	−0.232442	−	0.168879i	0.465467	−	0.885065i	$-0.345886\pi$
$71$	−1.95860	−	1.42300i	−0.232442	−	0.168879i	−0.697910	+	0.716186i	$0.745886\pi$
$72$	−8.32922	+	0.180600i	−0.981608	+	0.0212839i
$73$	−1.04183	+	3.20643i	−0.121937	+	0.375284i	−0.993331	−	0.115301i	$-0.963217\pi$
$73$	−1.04183	+	3.20643i	−0.121937	+	0.375284i	0.871394	+	0.490585i	$0.163217\pi$
$74$	−5.04791	−	1.07297i	−0.586808	−	0.124730i
$75$	11.2896	−	5.17379i	1.30361	−	0.597418i
$76$	−0.155767	−	0.269796i	−0.0178676	−	0.0309477i
$77$	0.758565	−	0.824675i	0.0864465	−	0.0939805i
$78$	0.920202	+	2.73100i	0.104192	+	0.309225i
$79$	−0.892435	−	8.49095i	−0.100407	−	0.955307i	−0.922511	−	0.385970i	$-0.873867\pi$
$79$	−0.892435	−	8.49095i	−0.100407	−	0.955307i	0.822105	−	0.569337i	$-0.192800\pi$
$80$	4.45700	+	13.7172i	0.498307	+	1.53363i
$81$	−7.50361	−	4.96949i	−0.833734	−	0.552166i
$82$	12.9947	+	9.44124i	1.43503	+	1.04261i
$83$	−10.3564	+	4.61098i	−1.13677	+	0.506120i	−0.886809	−	0.462137i	$-0.847083\pi$
$83$	−10.3564	+	4.61098i	−1.13677	+	0.506120i	−0.249956	+	0.968257i	$0.580416\pi$
$84$	−0.0407505		0.000441738i	−0.00444624		4.81976e-5i
$85$	9.59808	−	10.6597i	1.04106	−	1.15621i
$86$	−1.98172	−	0.882318i	−0.213694	−	0.0951428i
$87$	−8.96233	−	1.80369i	−0.960862	−	0.193376i
$88$	8.45352	−	3.65660i	0.901148	−	0.389795i
$89$	−3.45994			−0.366753			−0.183376	−	0.983043i	$-0.558703\pi$
$89$	−3.45994			−0.366753			−0.183376	+	0.983043i	$0.558703\pi$
$90$	−4.34109	+	14.4167i	−0.457591	+	1.51965i
$91$	−0.120743	−	0.371608i	−0.0126573	−	0.0389551i
$92$	0.246166	+	0.273395i	0.0256646	+	0.0285034i
$93$	−9.55675	+	2.13988i	−0.990989	+	0.221895i
$94$	−1.32652	+	12.6210i	−0.136821	+	1.30176i
$95$	15.2640	−	3.24446i	1.56605	−	0.332875i
$96$	−0.626066	−	0.270650i	−0.0638976	−	0.0276231i
$97$	1.36288	+	12.9669i	0.138379	+	1.31659i	0.814656	+	0.579944i	$0.196926\pi$
$97$	1.36288	+	12.9669i	0.138379	+	1.31659i	−0.676277	+	0.736648i	$0.736408\pi$
$98$	−9.90618			−1.00068
$99$	9.75471	+	1.96101i	0.980386	+	0.197089i
$100$	0.499341			0.0499341
$101$	0.228228	+	2.17144i	0.0227095	+	0.216067i	0.999991	+	0.00412339i	$0.00131252\pi$
$101$	0.228228	+	2.17144i	0.0227095	+	0.216067i	−0.977282	+	0.211943i	$0.932021\pi$
$102$	1.18134	+	10.1773i	0.116971	+	1.00770i
$103$	−0.852503	+	0.181205i	−0.0839996	+	0.0178547i	−0.249720	−	0.968318i	$-0.580338\pi$
$103$	−0.852503	+	0.181205i	−0.0839996	+	0.0178547i	0.165720	+	0.986173i	$0.447005\pi$
$104$	0.335726	−	3.19422i	0.0329206	−	0.313219i
$105$	0.609731	−	1.94816i	0.0595037	−	0.190121i
$106$	1.94144	+	2.15619i	0.188569	+	0.209427i
$107$	1.90401	+	5.85995i	0.184068	+	0.566502i	0.999931	−	0.0117425i	$-0.00373784\pi$
$107$	1.90401	+	5.85995i	0.184068	+	0.566502i	−0.815863	+	0.578245i	$0.803738\pi$
$108$	−0.191034	−	0.307350i	−0.0183823	−	0.0295747i
$109$	−11.7010			−1.12075			−0.560376	−	0.828238i	$-0.689343\pi$
$109$	−11.7010			−1.12075			−0.560376	+	0.828238i	$0.689343\pi$
$110$	−1.56387	−	16.5715i	−0.149109	−	1.58003i
$111$	1.98394	+	5.88801i	0.188308	+	0.558865i
$112$	1.27603	+	0.568125i	0.120573	+	0.0536827i
$113$	−0.280047	+	0.311024i	−0.0263446	+	0.0292586i	−0.756173	−	0.654372i	$-0.772933\pi$
$113$	−0.280047	+	0.311024i	−0.0263446	+	0.0292586i	0.729829	+	0.683630i	$0.239600\pi$
$114$	−5.46816	+	9.71277i	−0.512140	+	0.909685i
$115$	−16.8348	+	7.49533i	−1.56985	+	0.698943i
$116$	−0.297388	−	0.216065i	−0.0276118	−	0.0200611i
$117$	2.26521	−	2.62818i	0.209419	−	0.242975i
$118$	−5.13427	−	15.8017i	−0.472648	−	1.45466i
$119$	−0.145204	−	1.38152i	−0.0133108	−	0.126644i
$120$	11.0921	−	12.5909i	1.01257	−	1.14938i
$121$	−10.8058	+	2.05783i	−0.982346	+	0.187075i
$122$	−5.66557	−	9.81305i	−0.512937	−	0.888432i
$123$	1.81284	−	19.2534i	0.163458	−	1.73602i
$124$	−0.385178	−	0.0818720i	−0.0345900	−	0.00735233i
$125$	−2.33919	+	7.19928i	−0.209223	+	0.643924i
$126$	0.756244	+	1.24664i	0.0673716	+	0.111059i
$127$	−7.46315	−	5.42229i	−0.662247	−	0.481151i	0.205174	−	0.978726i	$-0.434224\pi$
$127$	−7.46315	−	5.42229i	−0.662247	−	0.481151i	−0.867421	+	0.497575i	$0.834224\pi$
$128$	7.94150	+	8.81993i	0.701936	+	0.779579i
$129$	0.301136	+	2.59429i	0.0265135	+	0.228414i
$130$	−5.30257	−	2.36086i	−0.465066	−	0.207061i
$131$	7.68773	+	13.3155i	0.671680	+	1.16338i	0.977427	+	0.211272i	$0.0677605\pi$
$131$	7.68773	+	13.3155i	0.671680	+	1.16338i	−0.305747	+	0.952113i	$0.598906\pi$
$132$	0.323717	+	0.235089i	0.0281759	+	0.0204619i
$133$	0.755621	−	1.30877i	0.0655206	−	0.113485i
$134$	4.86990	−	3.53819i	0.420695	−	0.305653i
$135$	17.5989	−	4.34330i	1.51468	−	0.373812i
$136$	3.52856	−	10.8598i	0.302571	−	0.931219i
$137$	1.79196	−	0.797833i	0.153098	−	0.0681635i	−0.328757	−	0.944414i	$-0.606630\pi$
$137$	1.79196	−	0.797833i	0.153098	−	0.0681635i	0.481855	+	0.876251i	$0.339963\pi$
$138$	3.93154	−	12.5617i	0.334675	−	1.06933i
$139$	−17.2612	+	3.66897i	−1.46407	+	0.311198i	−0.869935	−	0.493166i	$-0.835840\pi$
$139$	−17.2612	+	3.66897i	−1.46407	+	0.311198i	−0.594137	+	0.804364i	$0.702506\pi$
$140$	0.0549227	−	0.0609979i	0.00464182	−	0.00515526i
$141$	13.8898	−	6.36544i	1.16973	−	0.536067i
$142$	−1.74143	+	3.01624i	−0.146137	+	0.253117i
$143$	−1.22405	+	3.63531i	−0.102360	+	0.304000i
$144$	1.56360	+	12.3044i	0.130300	+	1.02536i
$145$	14.8965	−	10.8229i	1.23708	−	0.898794i
$146$	4.74424	+	1.00842i	0.392636	+	0.0834575i
$147$	6.07494	+	10.2635i	0.501053	+	0.846523i
$148$	−0.0261143	+	0.248461i	−0.00214658	+	0.0204234i
$149$	−0.0705106	+	0.670863i	−0.00577645	+	0.0549593i	−0.997030	−	0.0770089i	$-0.975463\pi$
$149$	−0.0705106	+	0.670863i	−0.00577645	+	0.0549593i	0.991254	+	0.131968i	$0.0421297\pi$
$150$	−9.10006	−	15.3745i	−0.743017	−	1.25532i
$151$	−5.40335	−	1.14852i	−0.439718	−	0.0934650i	−0.0172675	−	0.999851i	$-0.505497\pi$
$151$	−5.40335	−	1.14852i	−0.439718	−	0.0934650i	−0.422451	+	0.906386i	$0.638830\pi$
$152$	10.0499	−	7.30170i	0.815157	−	0.592246i
$153$	9.81998	−	7.46516i	0.793898	−	0.603522i
$154$	−1.29397	−	0.961300i	−0.104271	−	0.0774638i
$155$	9.86248	−	17.0823i	0.792174	−	1.37209i
$156$	0.126827	−	0.0581226i	0.0101543	−	0.00465353i
$157$	0.531840	−	0.590668i	0.0424454	−	0.0471404i	−0.721548	−	0.692364i	$-0.756569\pi$
$157$	0.531840	−	0.590668i	0.0424454	−	0.0471404i	0.763994	+	0.645224i	$0.223236\pi$
$158$	−12.0142	+	2.55369i	−0.955797	+	0.203161i
$159$	1.04339	−	3.33375i	0.0827461	−	0.264384i
$160$	1.25498	−	0.558754i	0.0992150	−	0.0441734i
$161$	−0.551480	+	1.69728i	−0.0434627	+	0.133765i
$162$	−5.98171	+	11.4830i	−0.469967	+	0.902193i
$163$	−11.6538	+	8.46700i	−0.912799	+	0.663187i	−0.941721	−	0.336395i	$-0.890792\pi$
$163$	−11.6538	+	8.46700i	−0.912799	+	0.663187i	0.0289225	+	0.999582i	$0.490792\pi$
$164$	0.388791	−	0.673406i	0.0303595	−	0.0525842i
$165$	−16.2103	+	11.7827i	−1.26197	+	0.917284i
$166$	8.15450	+	14.1240i	0.632912	+	1.09624i
$167$	−12.3976	−	5.51977i	−0.959355	−	0.427132i	−0.133521	−	0.991046i	$-0.542628\pi$
$167$	−12.3976	−	5.51977i	−0.959355	−	0.427132i	−0.825834	+	0.563914i	$0.809295\pi$
$168$	−0.187369	−	1.61419i	−0.0144558	−	0.124537i
$169$	−7.80366	−	8.66684i	−0.600282	−	0.666680i
$170$	−16.6947	−	12.1294i	−1.28043	−	0.930284i
$171$	13.4165	−	0.290906i	1.02599	−	0.0222461i
$172$	−0.0324512	+	0.0998744i	−0.00247438	+	0.00761535i
$173$	17.2022	+	3.65645i	1.30786	+	0.277995i	0.808550	−	0.588428i	$-0.200253\pi$
$173$	17.2022	+	3.65645i	1.30786	+	0.277995i	0.499312	+	0.866422i	$0.333586\pi$
$174$	−1.23289	+	13.0940i	−0.0934655	+	0.992656i
$175$	1.21115	+	2.09777i	0.0915541	+	0.158576i
$176$	−6.72960	−	11.9475i	−0.507263	−	0.900574i
$177$	−13.2231	+	15.0098i	−0.993912	+	1.12821i
$178$	0.520296	+	4.95029i	0.0389979	+	0.371040i
$179$	−4.96972	−	15.2952i	−0.371454	−	1.14322i	−0.945840	−	0.324634i	$-0.894759\pi$
$179$	−4.96972	−	15.2952i	−0.371454	−	1.14322i	0.574386	−	0.818585i	$-0.305241\pi$
$180$	0.716058	+	0.136050i	0.0533718	+	0.0101405i
$181$	12.0200	+	8.73306i	0.893441	+	0.649123i	0.936773	−	0.349938i	$-0.113797\pi$
$181$	12.0200	+	8.73306i	0.893441	+	0.649123i	−0.0433317	+	0.999061i	$0.513797\pi$
$182$	−0.513519	+	0.228634i	−0.0380646	+	0.0169474i
$183$	−6.69267	+	11.8878i	−0.494736	+	0.878771i
$184$	−9.81589	+	10.9017i	−0.723637	+	0.803681i
$185$	−11.4323	−	5.08998i	−0.840519	−	0.374223i
$186$	4.49874	+	13.3515i	0.329863	+	0.978979i
$187$	−6.94374	+	11.7371i	−0.507777	+	0.858299i
$188$	0.614351			0.0448062
$189$	0.827846	−	1.54802i	0.0602169	−	0.112602i
$190$	−6.93735	−	21.3510i	−0.503288	−	1.54896i
$191$	−0.906328	−	1.00658i	−0.0655796	−	0.0728335i	0.709462	−	0.704743i	$-0.248938\pi$
$191$	−0.906328	−	1.00658i	−0.0655796	−	0.0728335i	−0.775042	+	0.631910i	$0.782271\pi$
$192$	3.98479	−	12.7319i	0.287577	−	0.918844i
$193$	2.33500	−	22.2160i	0.168077	−	1.59915i	−0.507364	−	0.861732i	$-0.669380\pi$
$193$	2.33500	−	22.2160i	0.168077	−	1.59915i	0.675441	−	0.737414i	$-0.263953\pi$
$194$	18.3474	−	3.89986i	1.31727	−	0.279994i
$195$	0.805763	+	6.94165i	0.0577019	+	0.497102i
$196$	0.0501276	+	0.476932i	0.00358054	+	0.0340666i
$197$	8.74655			0.623166			0.311583	−	0.950219i	$-0.399141\pi$
$197$	8.74655			0.623166			0.311583	+	0.950219i	$0.399141\pi$
$198$	1.33882	−	14.2514i	0.0951458	−	1.01280i
$199$	6.39133			0.453070			0.226535	−	0.974003i	$-0.427260\pi$
$199$	6.39133			0.453070			0.226535	+	0.974003i	$0.427260\pi$
$200$	2.08129	+	19.8022i	0.147170	+	1.40022i
$201$	−6.65228	−	2.87580i	−0.469216	−	0.202843i
$202$	3.07246	−	0.653071i	0.216178	−	0.0459499i
$203$	0.186393	−	1.77341i	0.0130822	−	0.124469i
$204$	0.484007	−	0.108375i	0.0338873	−	0.00758778i
$205$	26.0625	+	28.9454i	1.82029	+	2.02163i
$206$	0.387455	+	1.19246i	0.0269953	+	0.0830829i
$207$	−15.4259	+	3.63009i	−1.07218	+	0.252308i
$208$	−4.78169			−0.331551
$209$	−13.6167	+	5.88996i	−0.941888	+	0.407417i
$210$	−2.87902	−	0.579410i	−0.198671	−	0.0399831i
$211$	6.02398	+	2.68205i	0.414708	+	0.184640i	0.603475	−	0.797382i	$-0.293782\pi$
$211$	6.02398	+	2.68205i	0.414708	+	0.184640i	−0.188767	+	0.982022i	$0.560449\pi$
$212$	0.0939852	−	0.104381i	0.00645493	−	0.00716893i
$213$	4.19297	−	0.0454521i	0.287298	−	0.00311433i
$214$	8.09777	−	3.60536i	0.553552	−	0.246457i
$215$	−4.25564	−	3.09190i	−0.290232	−	0.210866i
$216$	11.3922	−	8.85684i	0.775141	−	0.602631i
$217$	−0.590295	−	1.81674i	−0.0400718	−	0.123328i
$218$	1.75956	+	16.7411i	0.119173	+	1.13385i
$219$	−1.86460	−	5.53381i	−0.125998	−	0.373940i
$220$	−0.789921	+	0.159148i	−0.0532565	+	0.0107298i
$221$	2.37774	+	4.11837i	0.159944	+	0.277032i
$222$	8.12590	−	3.72394i	0.545375	−	0.249935i
$223$	6.55058	+	1.39237i	0.438659	+	0.0932399i	0.421947	−	0.906620i	$-0.361347\pi$
$223$	6.55058	+	1.39237i	0.438659	+	0.0932399i	0.0167120	+	0.999860i	$0.494680\pi$
$224$	0.0411112	−	0.126527i	0.00274686	−	0.00845395i
$225$	−10.3485	+	18.8567i	−0.689901	+	1.25711i
$226$	0.487108	+	0.353905i	0.0324020	+	0.0235414i
$227$	−4.11338	−	4.56838i	−0.273015	−	0.303214i	0.591009	−	0.806665i	$-0.298730\pi$
$227$	−4.11338	−	4.56838i	−0.273015	−	0.303214i	−0.864023	+	0.503452i	$0.832063\pi$
$228$	0.495291	+	0.214115i	0.0328014	+	0.0141801i
$229$	−20.9346	−	9.32068i	−1.38340	−	0.615928i	−0.426005	−	0.904721i	$-0.640079\pi$
$229$	−20.9346	−	9.32068i	−1.38340	−	0.615928i	−0.957391	+	0.288793i	$0.906746\pi$
$230$	13.2555	+	22.9591i	0.874040	+	1.51388i
$231$	−0.202455	+	1.93017i	−0.0133206	+	0.126996i
$232$	7.32887	−	12.6940i	0.481164	−	0.833400i
$233$	9.54280	−	6.93325i	0.625170	−	0.454212i	−0.229554	−	0.973296i	$-0.573727\pi$
$233$	9.54280	−	6.93325i	0.625170	−	0.454212i	0.854724	+	0.519084i	$0.173727\pi$
$234$	−4.10089	−	2.84572i	−0.268084	−	0.186031i
$235$	−9.50952	+	29.2673i	−0.620333	+	1.90919i
$236$	−0.734789	+	0.327149i	−0.0478307	+	0.0212956i
$237$	10.0135	+	10.8816i	0.650446	+	0.706833i
$238$	−1.95477	+	0.415499i	−0.126709	+	0.0269328i
$239$	−6.45895	+	7.17339i	−0.417795	+	0.464008i	−0.914899	−	0.403683i	$-0.867730\pi$
$239$	−6.45895	+	7.17339i	−0.417795	+	0.464008i	0.497104	+	0.867691i	$0.334397\pi$
$240$	−20.3685	−	14.4639i	−1.31478	−	0.933640i
$241$	3.63345	−	6.29331i	0.234051	−	0.405388i	−0.724946	−	0.688806i	$-0.758135\pi$
$241$	3.63345	−	6.29331i	0.234051	−	0.405388i	0.958996	+	0.283418i	$0.0914685\pi$
$242$	4.56918	+	15.1509i	0.293718	+	0.973936i
$243$	15.5656	−	0.844453i	0.998532	−	0.0541717i
$244$	−0.443780	+	0.322425i	−0.0284101	+	0.0206411i
$245$	−23.4967	−	4.99437i	−1.50115	−	0.319079i
$246$	−27.8192	+	0.301562i	−1.77369	+	0.0192269i
$247$	−0.540779	+	5.14517i	−0.0344089	+	0.327379i
$248$	1.64132	−	15.6161i	0.104224	−	0.991623i
$249$	9.63281	−	17.1102i	0.610455	−	1.08431i
$250$	10.6521	+	2.26417i	0.673698	+	0.143199i
$251$	10.6325	−	7.72498i	0.671119	−	0.487597i	−0.199280	−	0.979943i	$-0.563860\pi$
$251$	10.6325	−	7.72498i	0.671119	−	0.487597i	0.870400	+	0.492346i	$0.163860\pi$
$252$	0.0561925	−	0.0427176i	0.00353980	−	0.00269096i
$253$	14.2825	−	10.1467i	0.897932	−	0.637917i
$254$	−6.63563	+	11.4932i	−0.416356	+	0.721150i
$255$	−2.32900	+	24.7353i	−0.145848	+	1.54899i
$256$	1.11708	−	1.24065i	0.0698177	−	0.0775404i
$257$	1.78636	−	0.379703i	0.111430	−	0.0236852i	−0.151859	−	0.988402i	$-0.548526\pi$
$257$	1.78636	−	0.379703i	0.111430	−	0.0236852i	0.263289	+	0.964717i	$0.415193\pi$
$258$	3.66648	−	0.820971i	0.228265	−	0.0511114i
$259$	−1.10714	+	0.492932i	−0.0687945	+	0.0306293i
$260$	−0.0868310	+	0.267238i	−0.00538503	+	0.0165734i
$261$	14.3225	−	6.75252i	0.886539	−	0.417970i
$262$	17.8951	−	13.0015i	1.10556	−	0.803238i
$263$	−2.63718	+	4.56773i	−0.162616	+	0.281658i	−0.935806	−	0.352516i	$-0.885326\pi$
$263$	−2.63718	+	4.56773i	−0.162616	+	0.281658i	0.773190	+	0.634174i	$0.218660\pi$
$264$	−7.97357	+	13.8174i	−0.490739	+	0.850401i
$265$	3.51786	+	6.09311i	0.216100	+	0.374297i
$266$	−1.98615	−	0.884291i	−0.121779	−	0.0542193i
$267$	4.80980	−	3.57482i	0.294355	−	0.218775i
$268$	−0.194989	−	0.216557i	−0.0119108	−	0.0132283i
$269$	14.0391	+	10.2000i	0.855982	+	0.621907i	0.926789	−	0.375583i	$-0.122557\pi$
$269$	14.0391	+	10.2000i	0.855982	+	0.621907i	−0.0708069	+	0.997490i	$0.522557\pi$
$270$	−8.86064	−	24.5265i	−0.539242	−	1.49263i
$271$	2.50681	−	7.71516i	0.152278	−	0.468662i	−0.845597	−	0.533821i	$-0.820755\pi$
$271$	2.50681	−	7.71516i	0.152278	−	0.468662i	0.997875	+	0.0651590i	$0.0207555\pi$
$272$	−16.6284	−	3.53448i	−1.00825	−	0.214309i
$273$	0.551796	+	0.391836i	0.0333962	+	0.0237150i
$274$	−1.41097	−	2.44386i	−0.0852396	−	0.147639i
$275$	2.73687	−	23.6218i	0.165039	−	1.42445i
$276$	−0.624679	−	0.125718i	−0.0376012	−	0.00756736i
$277$	2.03436	+	19.3556i	0.122233	+	1.16297i	0.867932	+	0.496684i	$0.165449\pi$
$277$	2.03436	+	19.3556i	0.122233	+	1.16297i	−0.745699	+	0.666283i	$0.767884\pi$
$278$	7.84505	+	24.1446i	0.470515	+	1.44810i
$279$	11.0743	−	12.8488i	0.663001	−	0.769237i
$280$	2.64789	+	1.92381i	0.158242	+	0.114969i
$281$	26.4828	−	11.7909i	1.57983	−	0.703386i	0.585595	−	0.810604i	$-0.300861\pi$
$281$	26.4828	−	11.7909i	1.57983	−	0.703386i	0.994236	+	0.107218i	$0.0341942\pi$
$282$	−11.1960	−	18.9156i	−0.666714	−	1.12641i
$283$	6.54084	−	7.26434i	0.388813	−	0.431820i	−0.516682	−	0.856177i	$-0.672833\pi$
$283$	6.54084	−	7.26434i	0.388813	−	0.431820i	0.905495	+	0.424357i	$0.139500\pi$
$284$	0.154029	+	0.0685779i	0.00913991	+	0.00406935i
$285$	−17.8669	+	20.2811i	−1.05834	+	1.20135i
$286$	5.38526	+	1.20463i	0.318437	+	0.0712312i
$287$	3.77204			0.222656
$288$	1.14996	−	0.270612i	0.0677618	−	0.0159460i
$289$	−0.0288211	−	0.0887023i	−0.00169536	−	0.00521778i
$290$	−17.7249	−	19.6855i	−1.04084	−	1.15597i
$291$	−15.2921	−	16.6177i	−0.896436	−	0.974148i
$292$	0.0245433	−	0.233514i	0.00143629	−	0.0136654i
$293$	−24.6580	+	5.24122i	−1.44053	+	0.306195i	−0.860939	−	0.508709i	$-0.830123\pi$
$293$	−24.6580	+	5.24122i	−1.44053	+	0.306195i	−0.579596	+	0.814904i	$0.696790\pi$
$294$	13.7710	−	10.2351i	0.803140	−	0.596923i
$295$	−4.21140	−	40.0688i	−0.245197	−	2.33290i
$296$	−9.96196			−0.579027
$297$	−15.5865	+	7.35252i	−0.904423	+	0.426636i
$298$	0.970438			0.0562159
$299$	−0.638607	−	6.07594i	−0.0369316	−	0.351380i
$300$	−0.694154	+	0.515920i	−0.0400770	+	0.0297867i
$301$	−0.498290	+	0.105915i	−0.0287209	+	0.00610483i
$302$	−0.830694	+	7.90352i	−0.0478010	+	0.454797i
$303$	−2.56081	−	2.78281i	−0.147115	−	0.159868i
$304$	−12.3751	−	13.7439i	−0.709759	−	0.788267i
$305$	−8.49086	−	26.1322i	−0.486185	−	1.49632i
$306$	−12.1574	−	12.9273i	−0.694995	−	0.739004i
$307$	4.47659			0.255492			0.127746	−	0.991807i	$-0.459226\pi$
$307$	4.47659			0.255492			0.127746	+	0.991807i	$0.459226\pi$
$308$	−0.0397339	+	0.0671625i	−0.00226405	+	0.00382694i
$309$	0.997877	−	1.13271i	0.0567672	−	0.0644375i
$310$	−25.9235	−	11.5419i	−1.47236	−	0.655536i
$311$	−15.1635	+	16.8408i	−0.859846	+	0.954955i	−0.999378	−	0.0352621i	$-0.988773\pi$
$311$	−15.1635	+	16.8408i	−0.859846	+	0.954955i	0.139532	+	0.990218i	$0.455440\pi$
$312$	2.83357	+	4.78729i	0.160419	+	0.271027i
$313$	15.2404	−	6.78547i	0.861439	−	0.383537i	0.0720283	−	0.997403i	$-0.477053\pi$
$313$	15.2404	−	6.78547i	0.861439	−	0.383537i	0.789411	+	0.613865i	$0.210386\pi$
$314$	−0.925071	−	0.672104i	−0.0522048	−	0.0379290i
$315$	1.16524	+	3.33820i	0.0656537	+	0.188086i
$316$	0.183742	+	0.565500i	0.0103363	+	0.0318118i
$317$	2.65165	+	25.2287i	0.148931	+	1.41699i	0.772399	+	0.635138i	$0.219057\pi$
$317$	2.65165	+	25.2287i	0.148931	+	1.41699i	−0.623468	+	0.781849i	$0.714277\pi$
$318$	−4.92665	−	0.991502i	−0.276273	−	0.0556007i
$319$	−11.8512	+	12.8840i	−0.663537	+	0.721366i
$320$	13.4350	+	23.2701i	0.751039	+	1.30084i
$321$	−8.70136	−	6.17892i	−0.485662	−	0.344874i
$322$	2.51131	+	0.533795i	0.139950	+	0.0297472i
$323$	−5.68372	+	17.4927i	−0.316250	+	0.973319i
$324$	0.583119	+	0.229882i	0.0323955	+	0.0127712i
$325$	−6.70866	−	4.87413i	−0.372129	−	0.270368i
$326$	13.8666	+	15.4004i	0.768000	+	0.852950i
$327$	16.2660	−	12.0895i	0.899513	−	0.668551i
$328$	28.3255	+	12.6113i	1.56401	+	0.696344i
$329$	1.49010	+	2.58094i	0.0821521	+	0.142292i
$330$	19.2957	+	21.4210i	1.06220	+	1.17918i
$331$	−3.79418	+	6.57172i	−0.208547	+	0.361214i	−0.951257	−	0.308399i	$-0.900207\pi$
$331$	−3.79418	+	6.57172i	−0.208547	+	0.361214i	0.742710	+	0.669613i	$0.233540\pi$
$332$	0.638736	−	0.464069i	0.0350552	−	0.0254691i
$333$	−8.84147	−	6.13535i	−0.484510	−	0.336215i
$334$	−6.03306	+	18.5678i	−0.330114	+	1.01599i
$335$	13.3348	−	5.93706i	0.728561	−	0.324376i
$336$	−2.36085	+	0.528623i	−0.128795	+	0.0288388i
$337$	14.0954	−	2.99606i	0.767823	−	0.163206i	0.192683	−	0.981261i	$-0.438281\pi$
$337$	14.0954	−	2.99606i	0.767823	−	0.163206i	0.575140	+	0.818055i	$0.304948\pi$
$338$	−11.2265	+	12.4683i	−0.610644	+	0.678188i
$339$	0.0679542	−	0.721712i	0.00369076	−	0.0391980i
$340$	−0.499491	+	0.865143i	−0.0270887	+	0.0469190i
$341$	−5.98419	+	17.7725i	−0.324062	+	0.962435i
$342$	−2.43375	−	19.1518i	−0.131602	−	1.03561i
$343$	−3.79528	+	2.75744i	−0.204926	+	0.148888i
$344$	−4.09594	−	0.870619i	−0.220838	−	0.0469406i
$345$	15.6585	−	27.8133i	0.843026	−	1.49742i
$346$	2.64462	−	25.1619i	0.142176	−	1.35271i
$347$	1.76049	−	16.7500i	0.0945082	−	0.899185i	−0.839842	−	0.542830i	$-0.817353\pi$
$347$	1.76049	−	16.7500i	0.0945082	−	0.899185i	0.934351	−	0.356355i	$-0.115981\pi$
$348$	0.636650	−	0.00690133i	0.0341280	−	0.000369950i
$349$	−29.9106	−	6.35769i	−1.60108	−	0.340319i	−0.681069	−	0.732219i	$-0.738485\pi$
$349$	−29.9106	−	6.35769i	−1.60108	−	0.340319i	−0.920008	+	0.391899i	$0.871818\pi$
$350$	2.81924	−	2.04830i	0.150695	−	0.109486i
$351$	−0.433523	+	5.99396i	−0.0231397	+	0.319934i
$352$	−1.06472	+	0.756405i	−0.0567496	+	0.0403165i
$353$	−0.243243	+	0.421309i	−0.0129465	+	0.0224240i	−0.872426	−	0.488746i	$-0.837454\pi$
$353$	−0.243243	+	0.421309i	−0.0129465	+	0.0224240i	0.859480	+	0.511170i	$0.170788\pi$
$354$	23.4637	+	16.6618i	1.24708	+	0.885564i
$355$	−5.65121	+	6.27630i	−0.299935	+	0.333112i
$356$	0.235698	−	0.0500993i	0.0124920	−	0.00265526i
$357$	1.62925	+	1.77049i	0.0862289	+	0.0937041i
$358$	−21.1362	+	9.41045i	−1.11708	+	0.497358i
$359$	10.5622	−	32.5072i	0.557453	−	1.71566i	−0.131924	−	0.991260i	$-0.542116\pi$
$359$	10.5622	−	32.5072i	0.557453	−	1.71566i	0.689377	−	0.724403i	$-0.257884\pi$
$360$	−2.41069	+	28.9635i	−0.127054	+	1.52651i
$361$	−0.816851	+	0.593477i	−0.0429921	+	0.0312356i
$362$	10.6872	−	18.5108i	0.561709	−	0.972908i
$363$	12.8954	−	14.0253i	0.676835	−	0.736135i
$364$	0.0136061	+	0.0235664i	0.000713152	+	0.00123522i
$365$	10.7446	+	4.78379i	0.562396	+	0.250395i
$366$	18.0148	+	7.78784i	0.941650	+	0.407077i
$367$	−1.58155	−	1.75649i	−0.0825562	−	0.0916879i	0.700451	−	0.713700i	$-0.252982\pi$
$367$	−1.58155	−	1.75649i	−0.0825562	−	0.0916879i	−0.783008	+	0.622012i	$0.786315\pi$
$368$	17.6688	+	12.8372i	0.921052	+	0.669183i
$369$	17.3725	+	28.6379i	0.904377	+	1.49083i
$370$	−5.56331	+	17.1221i	−0.289223	+	0.890136i
$371$	0.666474	+	0.141663i	0.0346016	+	0.00735479i
$372$	0.620042	−	0.284153i	0.0321477	−	0.0147327i
$373$	11.4332	+	19.8028i	0.591987	+	1.02535i	0.993965	+	0.109701i	$0.0349895\pi$
$373$	11.4332	+	19.8028i	0.591987	+	1.02535i	−0.401978	+	0.915649i	$0.631677\pi$
$374$	17.8369	+	8.16974i	0.922325	+	0.422447i
$375$	−4.18652	−	12.4249i	−0.216191	−	0.641618i
$376$	2.56066	+	24.3631i	0.132056	+	1.25643i
$377$	1.88638	+	5.80568i	0.0971535	+	0.299008i
$378$	−2.33932	−	0.951649i	−0.120321	−	0.0489475i
$379$	−21.9257	−	15.9299i	−1.12625	−	0.818266i	−0.141102	−	0.989995i	$-0.545065\pi$
$379$	−21.9257	−	15.9299i	−1.12625	−	0.818266i	−0.985144	+	0.171729i	$0.945065\pi$
$380$	−0.992837	+	0.442039i	−0.0509314	+	0.0226761i
$381$	15.9772	−	0.173193i	0.818534	−	0.00887297i
$382$	−1.30387	+	1.44809i	−0.0667116	+	0.0740908i
$383$	19.1807	+	8.53979i	0.980087	+	0.436363i	0.833309	−	0.552807i	$-0.186443\pi$
$383$	19.1807	+	8.53979i	0.980087	+	0.436363i	0.146777	+	0.989170i	$0.453110\pi$
$384$	−20.1526	−	4.05577i	−1.02841	−	0.206970i
$385$	−2.58454	−	2.93251i	−0.131720	−	0.149454i
$386$	−32.1366			−1.63571
$387$	−3.09905	−	3.29529i	−0.157533	−	0.167509i
$388$	−0.280601	−	0.863601i	−0.0142454	−	0.0438427i
$389$	4.72015	+	5.24225i	0.239321	+	0.265793i	0.850826	−	0.525448i	$-0.176102\pi$
$389$	4.72015	+	5.24225i	0.239321	+	0.265793i	−0.611505	+	0.791241i	$0.709436\pi$
$390$	9.81057	−	2.19671i	0.496777	−	0.111235i
$391$	2.27038	−	21.6012i	0.114818	−	1.09242i
$392$	−18.7046	+	3.97578i	−0.944724	+	0.200807i
$393$	−24.4447	−	10.5675i	−1.23307	−	0.533060i
$394$	−1.31528	−	12.5141i	−0.0662630	−	0.630450i
$395$	−29.7842			−1.49860
$396$	−0.692907	+	0.00765805i	−0.0348199	+	0.000384831i
$397$	1.54426			0.0775042			0.0387521	−	0.999249i	$-0.487662\pi$
$397$	1.54426			0.0775042			0.0387521	+	0.999249i	$0.487662\pi$
$398$	−0.961112	−	9.14437i	−0.0481762	−	0.458366i
$399$	0.301809	+	2.60009i	0.0151094	+	0.130167i
$400$	28.9957	−	6.16323i	1.44979	−	0.308162i
$401$	−2.31661	+	22.0411i	−0.115686	+	1.10068i	0.770529	+	0.637405i	$0.219992\pi$
$401$	−2.31661	+	22.0411i	−0.115686	+	1.10068i	−0.886215	+	0.463274i	$0.846674\pi$
$402$	−3.11418	+	9.95017i	−0.155321	+	0.496270i
$403$	4.37571	+	4.85972i	0.217970	+	0.242080i
$404$	−0.0469894	−	0.144619i	−0.00233781	−	0.00719505i
$405$	−19.9775	+	24.2211i	−0.992690	+	1.20356i
$406$	−2.56533			−0.127315
$407$	11.6106	+	2.59717i	0.575515	+	0.128737i
$408$	6.31517	+	18.7424i	0.312648	+	0.927885i
$409$	−4.32674	−	1.92639i	−0.213944	−	0.0952538i	0.296967	−	0.954888i	$-0.404025\pi$
$409$	−4.32674	−	1.92639i	−0.213944	−	0.0952538i	−0.510910	+	0.859634i	$0.670692\pi$
$410$	37.4942	−	41.6416i	1.85171	−	2.05653i
$411$	−1.66676	+	2.96056i	−0.0822150	+	0.146034i
$412$	0.0554505	−	0.0246882i	0.00273185	−	0.00121630i
$413$	−3.15660	−	2.29341i	−0.155326	−	0.112851i
$414$	7.51344	+	21.5247i	0.369265	+	1.05788i
$415$	12.2210	+	37.6123i	0.599904	+	1.84631i
$416$	0.0476062	+	0.452943i	0.00233409	+	0.0222073i
$417$	20.2047	−	22.9347i	0.989426	−	1.12312i
$418$	10.4747	+	18.5963i	0.512333	+	0.909576i
$419$	−20.1474	−	34.8963i	−0.984265	−	1.70480i	−0.645157	−	0.764050i	$-0.723208\pi$
$419$	−20.1474	−	34.8963i	−0.984265	−	1.70480i	−0.339109	−	0.940747i	$-0.610125\pi$
$420$	−0.0133272	+	0.141542i	−0.000650298	+	0.00690654i
$421$	13.3067	+	2.82842i	0.648528	+	0.137849i	0.520419	−	0.853911i	$-0.325776\pi$
$421$	13.3067	+	2.82842i	0.648528	+	0.137849i	0.128109	+	0.991760i	$0.459109\pi$
$422$	2.93146	−	9.02210i	0.142701	−	0.439189i
$423$	−12.7320	+	23.1999i	−0.619052	+	1.12802i
$424$	4.53114	+	3.29207i	0.220052	+	0.159877i
$425$	−19.7267	−	21.9087i	−0.956884	−	1.06273i
$426$	−0.695559	−	5.99224i	−0.0336999	−	0.290325i
$427$	−2.43091	−	1.08231i	−0.117640	−	0.0523768i
$428$	−0.214556	−	0.371622i	−0.0103710	−	0.0179630i
$429$	−2.05441	−	6.31827i	−0.0991880	−	0.305049i
$430$	−3.78377	+	6.55369i	−0.182470	+	0.316047i
$431$	−6.35439	+	4.61673i	−0.306080	+	0.222380i	−0.730213	−	0.683220i	$-0.760579\pi$
$431$	−6.35439	+	4.61673i	−0.306080	+	0.222380i	0.424133	+	0.905600i	$0.360579\pi$
$432$	−14.8865	−	15.4893i	−0.716228	−	0.745229i
$433$	0.426664	−	1.31314i	0.0205041	−	0.0631053i	−0.940281	−	0.340400i	$-0.889438\pi$
$433$	0.426664	−	1.31314i	0.0205041	−	0.0631053i	0.960785	+	0.277294i	$0.0894377\pi$
$434$	−2.51053	+	1.11776i	−0.120509	+	0.0536541i
$435$	−9.52591	+	30.4364i	−0.456732	+	1.45932i
$436$	0.797097	−	0.169428i	0.0381740	−	0.00811414i
$437$	15.8112	−	17.5601i	0.756352	−	0.840014i
$438$	−7.63707	+	3.49992i	−0.364913	+	0.167233i
$439$	2.75465	−	4.77119i	0.131472	−	0.227717i	−0.792772	−	0.609518i	$-0.791363\pi$
$439$	2.75465	−	4.77119i	0.131472	−	0.227717i	0.924244	+	0.381802i	$0.124696\pi$
$440$	−9.60372	−	30.6622i	−0.457840	−	1.46177i
$441$	−19.0494	−	7.99113i	−0.907112	−	0.380530i
$442$	5.53478	−	4.02125i	0.263263	−	0.191272i
$443$	−1.07923	−	0.229397i	−0.0512756	−	0.0108990i	0.182202	−	0.983261i	$-0.441677\pi$
$443$	−1.07923	−	0.229397i	−0.0512756	−	0.0108990i	−0.233478	+	0.972362i	$0.575011\pi$
$444$	−0.220408	−	0.372377i	−0.0104601	−	0.0176722i
$445$	−1.26167	+	12.0040i	−0.0598090	+	0.569044i
$446$	1.00707	−	9.58158i	0.0476859	−	0.453701i
$447$	−0.595118	−	1.00545i	−0.0281481	−	0.0475560i
$448$	2.54532	+	0.541024i	0.120255	+	0.0255610i
$449$	−1.16721	+	0.848031i	−0.0550843	+	0.0400211i	−0.614987	−	0.788538i	$-0.710839\pi$
$449$	−1.16721	+	0.848031i	−0.0550843	+	0.0400211i	0.559902	+	0.828559i	$0.310839\pi$
$450$	28.5353	+	11.9705i	1.34517	+	0.564293i
$451$	−29.7252	−	22.0831i	−1.39971	−	1.03985i
$452$	0.0145738	−	0.0252426i	0.000685496	−	0.00118731i
$453$	8.69806	−	3.98615i	0.408671	−	0.187286i
$454$	−5.91762	+	6.57218i	−0.277728	+	0.308448i
$455$	−1.33330	+	0.283401i	−0.0625059	+	0.0132860i
$456$	−6.42668	+	20.5340i	−0.300957	+	0.961593i
$457$	−27.5593	+	12.2702i	−1.28917	+	0.573976i	−0.932809	−	0.360372i	$-0.882650\pi$
$457$	−27.5593	+	12.2702i	−1.28917	+	0.573976i	−0.356362	+	0.934348i	$0.615983\pi$
$458$	−10.1874	+	31.3537i	−0.476027	+	1.46506i
$459$	−5.93813	+	20.5237i	−0.277168	+	0.957962i
$460$	1.03829	−	0.754362i	0.0484105	−	0.0351723i
$461$	13.3385	−	23.1030i	0.621237	−	1.07601i	−0.368019	−	0.929818i	$-0.619964\pi$
$461$	13.3385	−	23.1030i	0.621237	−	1.07601i	0.989256	−	0.146195i	$-0.0467028\pi$
$462$	2.79202		0.000591809i	0.129897		2.75335e-5i
$463$	−0.348740	−	0.604035i	−0.0162073	−	0.0280719i	0.857808	−	0.513970i	$-0.171826\pi$
$463$	−0.348740	−	0.604035i	−0.0162073	−	0.0280719i	−0.874015	+	0.485898i	$0.838493\pi$
$464$	−19.9356	−	8.87588i	−0.925485	−	0.412053i
$465$	3.93926	+	33.9368i	0.182679	+	1.57378i
$466$	−11.3547	−	12.6107i	−0.525998	−	0.584180i
$467$	−25.9087	−	18.8238i	−1.19891	−	0.871061i	−0.204736	−	0.978817i	$-0.565633\pi$
$467$	−25.9087	−	18.8238i	−1.19891	−	0.871061i	−0.994177	+	0.107756i	$0.965633\pi$
$468$	−0.116256	+	0.211837i	−0.00537392	+	0.00979217i
$469$	0.436828	−	1.34442i	0.0201709	−	0.0620795i
$470$	43.3040	+	9.20456i	1.99747	+	0.424575i
$471$	−0.129052	+	1.37061i	−0.00594642	+	0.0631543i
$472$	−16.0363	−	27.7757i	−0.738130	−	1.27848i
$473$	4.54680	+	2.08254i	0.209062	+	0.0957555i
$474$	14.0629	−	15.9631i	0.645931	−	0.733209i
$475$	−3.35249	−	31.8968i	−0.153823	−	1.46353i
$476$	0.0298958	+	0.0920098i	0.00137027	+	0.00421726i
$477$	1.99398	+	5.71242i	0.0912983	+	0.261554i
$478$	11.2346	+	8.16240i	0.513858	+	0.373339i
$479$	−20.0874	+	8.94350i	−0.917818	+	0.408639i	−0.810603	−	0.585597i	$-0.800860\pi$
$479$	−20.0874	+	8.94350i	−0.917818	+	0.408639i	−0.107216	+	0.994236i	$0.534194\pi$
$480$	−1.16730	+	2.07340i	−0.0532795	+	0.0946372i
$481$	2.77610	−	3.08317i	0.126579	−	0.140581i
$482$	−9.55051	−	4.25216i	−0.435014	−	0.193681i
$483$	−0.987001	−	2.92925i	−0.0449101	−	0.133286i
$484$	0.706317	−	0.296650i	0.0321053	−	0.0134841i
$485$	45.4848			2.06536
$486$	−3.54891	−	22.1434i	−0.160982	−	1.00444i
$487$	5.41429	+	16.6635i	0.245345	+	0.755094i	0.995580	+	0.0939221i	$0.0299405\pi$
$487$	5.41429	+	16.6635i	0.245345	+	0.755094i	−0.750235	+	0.661172i	$0.770060\pi$
$488$	−14.6360	−	16.2549i	−0.662540	−	0.735825i
$489$	7.45233	−	23.8111i	0.337006	−	1.07678i
$490$	−3.61230	+	34.3688i	−0.163187	+	1.55262i
$491$	0.196876	−	0.0418474i	0.00888490	−	0.00188854i	−0.203467	−	0.979082i	$-0.565221\pi$
$491$	0.196876	−	0.0418474i	0.00888490	−	0.00188854i	0.212352	+	0.977193i	$0.431888\pi$
$492$	0.155291	+	1.33783i	0.00700104	+	0.0603140i
$493$	2.26854	+	21.5837i	0.102170	+	0.972081i
$494$	7.44274			0.334865
$495$	10.3607	−	33.1282i	0.465677	−	1.48900i
$496$	−23.3770			−1.04966
$497$	0.0854940	+	0.813421i	0.00383493	+	0.0364869i
$498$	−25.9289	−	11.2091i	−1.16190	−	0.502292i
$499$	23.8697	−	5.07366i	1.06855	−	0.227128i	0.360121	−	0.932906i	$-0.382736\pi$
$499$	23.8697	−	5.07366i	1.06855	−	0.227128i	0.708434	+	0.705777i	$0.249402\pi$
$500$	0.0551063	−	0.524302i	0.00246443	−	0.0234475i
$501$	22.9374	−	5.13598i	1.02477	−	0.229459i
$502$	−12.6514	−	14.0508i	−0.564658	−	0.627117i
$503$	−5.13640	−	15.8082i	−0.229021	−	0.704853i	−0.997859	−	0.0654093i	$-0.979165\pi$
$503$	−5.13640	−	15.8082i	−0.229021	−	0.704853i	0.768838	−	0.639444i	$-0.220835\pi$
$504$	1.92825	+	2.05035i	0.0858911	+	0.0913301i
$505$	7.61689			0.338947
$506$	−16.6651	−	18.9088i	−0.740853	−	0.840597i
$507$	19.8028	+	3.98537i	0.879473	+	0.176996i
$508$	0.586919	+	0.261313i	0.0260403	+	0.0115939i
$509$	11.2998	−	12.5497i	0.500853	−	0.556254i	−0.438710	−	0.898629i	$-0.644565\pi$
$509$	11.2998	−	12.5497i	0.500853	−	0.556254i	0.939563	+	0.342375i	$0.111231\pi$
$510$	35.7401	−	0.387425i	1.58260	−	0.0171555i
$511$	1.04054	−	0.463278i	0.0460308	−	0.0204942i
$512$	17.2604	+	12.5404i	0.762810	+	0.554214i
$513$	−18.3503	+	14.2664i	−0.810184	+	0.629876i
$514$	−0.811886	−	2.49873i	−0.0358108	−	0.110214i
$515$	0.317811	+	3.02377i	0.0140044	+	0.133243i
$516$	−0.0580788	−	0.172368i	−0.00255678	−	0.00758808i
$517$	3.36724	−	29.0625i	0.148091	−	1.27817i
$518$	0.871748	+	1.50991i	0.0383024	+	0.0663418i
$519$	−27.6914	+	12.6904i	−1.21552	+	0.557048i
$520$	−10.9597	−	2.32955i	−0.480614	−	0.102158i
$521$	−5.89465	+	18.1419i	−0.258249	+	0.794809i	0.734923	+	0.678151i	$0.237218\pi$
$521$	−5.89465	+	18.1419i	−0.258249	+	0.794809i	−0.993172	+	0.116658i	$0.962782\pi$
$522$	−11.8149	−	19.4764i	−0.517124	−	0.852458i
$523$	12.1874	+	8.85469i	0.532919	+	0.387189i	0.821449	−	0.570283i	$-0.193166\pi$
$523$	12.1874	+	8.85469i	0.532919	+	0.387189i	−0.288529	+	0.957471i	$0.593166\pi$
$524$	−0.716512	−	0.795767i	−0.0313010	−	0.0347632i
$525$	−3.85109	−	1.66483i	−0.168075	−	0.0726592i
$526$	6.93183	+	3.08625i	0.302242	+	0.134567i
$527$	11.6245	+	20.1341i	0.506369	+	0.877057i
$528$	21.6992	+	9.65561i	0.944338	+	0.420207i
$529$	−2.45203	+	4.24705i	−0.106610	+	0.184654i
$530$	8.18868	−	5.94942i	0.355693	−	0.258426i
$531$	2.87383	−	34.5280i	0.124713	−	1.49839i
$532$	−0.0325237	+	0.100098i	−0.00141008	+	0.00433979i
$533$	−11.7966	+	5.25219i	−0.510968	+	0.227498i
$534$	−5.83794	−	6.34403i	−0.252632	−	0.274533i
$535$	21.0250	−	4.46899i	0.908988	−	0.193211i
$536$	7.77518	−	8.63521i	0.335837	−	0.372984i
$537$	22.7117	+	16.1278i	0.980081	+	0.695965i
$538$	12.4825	−	21.6203i	0.538158	−	0.932117i
$539$	22.8365	+	0.242708i	0.983639	+	0.0104542i
$540$	−1.13599	+	0.550705i	−0.0488851	+	0.0236986i
$541$	5.44671	−	3.95727i	0.234172	−	0.170136i	−0.464511	−	0.885568i	$-0.653770\pi$
$541$	5.44671	−	3.95727i	0.234172	−	0.170136i	0.698683	+	0.715431i	$0.253770\pi$
$542$	−11.4154	−	2.42642i	−0.490333	−	0.104223i
$543$	−25.7325	+	0.278942i	−1.10429	+	0.0119706i
$544$	−0.169250	+	1.61030i	−0.00725652	+	0.0690412i
$545$	−4.26678	+	40.5957i	−0.182769	+	1.73893i
$546$	0.477639	−	0.848403i	0.0204411	−	0.0363083i
$547$	−9.08943	−	1.93202i	−0.388636	−	0.0826071i	0.00944982	−	0.999955i	$-0.496992\pi$
$547$	−9.08943	−	1.93202i	−0.388636	−	0.0826071i	−0.398086	+	0.917348i	$0.630325\pi$
$548$	−0.110520	+	0.0802974i	−0.00472117	+	0.00343013i
$549$	−2.97875	−	23.4406i	−0.127130	−	1.00042i
$550$	−34.2084	−	0.363569i	−1.45865	−	0.0155027i
$551$	−11.8052	+	20.4471i	−0.502917	+	0.871077i
$552$	2.38185	−	25.2966i	0.101378	−	1.07670i
$553$	−1.93004	+	2.14353i	−0.0820737	+	0.0911521i
$554$	27.3870	−	5.82129i	1.16356	−	0.247323i
$555$	21.1515	−	4.73608i	0.897830	−	0.201035i
$556$	1.12274	−	0.499877i	0.0476148	−	0.0211995i
$557$	−10.5763	+	32.5504i	−0.448131	+	1.37921i	0.430882	+	0.902408i	$0.358203\pi$
$557$	−10.5763	+	32.5504i	−0.448131	+	1.37921i	−0.879013	+	0.476798i	$0.841797\pi$
$558$	−20.0487	−	13.9123i	−0.848728	−	0.588956i
$559$	1.41087	−	1.02506i	0.0596734	−	0.0433553i
$560$	2.43637	−	4.21992i	0.102956	−	0.178324i
$561$	−2.47398	−	23.4905i	−0.104452	−	0.991768i
$562$	−20.8522	−	36.1170i	−0.879596	−	1.52350i
$563$	−9.49854	−	4.22902i	−0.400316	−	0.178232i	0.196696	−	0.980464i	$-0.436979\pi$
$563$	−9.49854	−	4.22902i	−0.400316	−	0.178232i	−0.597012	+	0.802233i	$0.703645\pi$
$564$	−0.854035	+	0.634749i	−0.0359614	+	0.0267278i
$565$	0.976955	+	1.08502i	0.0411008	+	0.0456470i
$566$	−11.3770	−	8.26589i	−0.478212	−	0.347441i
$567$	0.448600	+	3.00730i	0.0188394	+	0.126295i
$568$	−2.07757	+	6.39409i	−0.0871727	+	0.268290i
$569$	18.6011	+	3.95378i	0.779797	+	0.165751i	0.580579	−	0.814204i	$-0.302826\pi$
$569$	18.6011	+	3.95378i	0.779797	+	0.165751i	0.199219	+	0.979955i	$0.436160\pi$
$570$	31.7038	+	22.5132i	1.32793	+	0.942973i
$571$	15.5552	+	26.9425i	0.650966	+	1.12751i	0.982889	+	0.184200i	$0.0589694\pi$
$571$	15.5552	+	26.9425i	0.650966	+	1.12751i	−0.331922	+	0.943307i	$0.607697\pi$
$572$	0.0307461	−	0.265369i	0.00128556	−	0.0110956i
$573$	2.29992	+	0.462866i	0.0960807	+	0.0193365i
$574$	−0.567229	−	5.39683i	−0.0236757	−	0.225259i
$575$	11.7039	+	36.0208i	0.488085	+	1.50217i
$576$	7.61519	+	21.8162i	0.317300	+	0.909008i
$577$	−8.81901	−	6.40738i	−0.367140	−	0.266743i	0.388884	−	0.921287i	$-0.372861\pi$
$577$	−8.81901	−	6.40738i	−0.367140	−	0.266743i	−0.756024	+	0.654544i	$0.772861\pi$
$578$	−0.122576	+	0.0545745i	−0.00509850	+	0.00227000i
$579$	19.7077	+	33.2960i	0.819024	+	1.38373i
$580$	−0.858065	+	0.952978i	−0.0356292	+	0.0395702i
$581$	3.49884	+	1.55778i	0.145156	+	0.0646277i
$582$	−21.4761	+	24.3780i	−0.890215	+	1.01050i
$583$	−4.42273	−	5.01818i	−0.183171	−	0.207832i
$584$	9.36268			0.387430
$585$	−8.29226	−	8.81736i	−0.342843	−	0.364553i
$586$	11.2068	+	34.4911i	0.462950	+	1.42482i
$587$	15.0808	+	16.7489i	0.622452	+	0.691303i	0.969093	−	0.246695i	$-0.0793446\pi$
$587$	15.0808	+	16.7489i	0.622452	+	0.691303i	−0.346641	+	0.937998i	$0.612678\pi$
$588$	−0.562452	−	0.611211i	−0.0231951	−	0.0252059i
$589$	−2.64379	+	25.1540i	−0.108936	+	1.03645i
$590$	−56.6950	+	12.0509i	−2.33409	+	0.496127i
$591$	−12.1589	+	9.03696i	−0.500152	+	0.371731i
$592$	1.55028	+	14.7499i	0.0637162	+	0.606219i
$593$	−39.7293			−1.63148			−0.815742	−	0.578415i	$-0.803671\pi$
$593$	−39.7293			−1.63148			−0.815742	+	0.578415i	$0.803671\pi$
$594$	12.8634	+	21.1947i	0.527793	+	0.869630i
$595$	−4.84604			−0.198668
$596$	−0.00491064	−	0.0467216i	−0.000201148	−	0.00191379i
$597$	−8.88485	+	6.60354i	−0.363633	+	0.270265i
$598$	−8.59708	+	1.82737i	−0.351561	+	0.0747266i
$599$	−0.860077	+	8.18308i	−0.0351418	+	0.334352i	0.962799	+	0.270217i	$0.0870954\pi$
$599$	−0.860077	+	8.18308i	−0.0351418	+	0.334352i	−0.997941	+	0.0641348i	$0.979571\pi$
$600$	−23.3529	−	25.3774i	−0.953380	−	1.03603i
$601$	−15.3864	−	17.0883i	−0.627623	−	0.697046i	0.342539	−	0.939504i	$-0.388713\pi$
$601$	−15.3864	−	17.0883i	−0.627623	−	0.697046i	−0.970162	+	0.242457i	$0.922047\pi$
$602$	0.226469	+	0.696998i	0.00923017	+	0.0284075i
$603$	12.2189	−	2.87540i	0.497592	−	0.117095i
$604$	0.384718			0.0156539
$605$	3.19914	+	38.2403i	0.130063	+	1.55469i
$606$	−3.59640	+	4.08234i	−0.146094	+	0.165834i
$607$	0.0399764	+	0.0177987i	0.00162259	+	0.000722425i	0.407548	−	0.913184i	$-0.366384\pi$
$607$	0.0399764	+	0.0177987i	0.00162259	+	0.000722425i	−0.405925	+	0.913906i	$0.633051\pi$
$608$	−1.17868	+	1.30905i	−0.0478017	+	0.0530891i
$609$	1.57318	+	2.65788i	0.0637486	+	0.107703i
$610$	−36.1116	+	16.0779i	−1.46212	+	0.650977i
$611$	−8.25383	−	5.99676i	−0.333914	−	0.242603i
$612$	−0.560864	+	0.650734i	−0.0226716	+	0.0263044i
$613$	−9.45678	−	29.1050i	−0.381956	−	1.17554i	−0.938665	−	0.344832i	$-0.887936\pi$
$613$	−9.45678	−	29.1050i	−0.381956	−	1.17554i	0.556709	−	0.830708i	$-0.312064\pi$
$614$	−0.673177	−	6.40486i	−0.0271672	−	0.258479i
$615$	−66.1371	−	13.3103i	−2.66690	−	0.536722i
$616$	−2.82905	−	1.29577i	−0.113986	−	0.0522082i
$617$	4.32264	+	7.48703i	0.174023	+	0.301416i	0.939823	−	0.341663i	$-0.110990\pi$
$617$	4.32264	+	7.48703i	0.174023	+	0.301416i	−0.765800	+	0.643079i	$0.777657\pi$
$618$	−1.77068	−	1.25737i	−0.0712270	−	0.0505790i
$619$	32.9693	+	7.00785i	1.32515	+	0.281669i	0.815522	−	0.578726i	$-0.196450\pi$
$619$	32.9693	+	7.00785i	1.32515	+	0.281669i	0.509628	+	0.860395i	$0.329783\pi$
$620$	−0.424505	+	1.30649i	−0.0170485	+	0.0524700i
$621$	17.6936	−	20.9844i	0.710019	−	0.842077i
$622$	26.3752	+	19.1627i	1.05755	+	0.768354i
$623$	0.782156	+	0.868672i	0.0313364	+	0.0348026i
$624$	6.64722	−	4.94046i	0.266102	−	0.197777i
$625$	−8.62574	−	3.84043i	−0.345029	−	0.153617i
$626$	−12.0001	−	20.7848i	−0.479620	−	0.830726i
$627$	12.8436	−	22.2567i	0.512925	−	0.888847i
$628$	−0.0276773	+	0.0479385i	−0.00110444	+	0.00191295i
$629$	11.9329	−	8.66978i	0.475797	−	0.345687i
$630$	4.60089	−	2.16915i	0.183304	−	0.0864209i
$631$	4.15555	−	12.7895i	0.165430	−	0.509140i	−0.833638	−	0.552311i	$-0.813746\pi$
$631$	4.15555	−	12.7895i	0.165430	−	0.509140i	0.999068	+	0.0431710i	$0.0137460\pi$
$632$	−21.6599	+	9.64363i	−0.861587	+	0.383603i
$633$	−11.1453	+	2.49557i	−0.442986	+	0.0991900i
$634$	35.6971	−	7.58766i	1.41771	−	0.301344i
$635$	−21.5337	+	23.9156i	−0.854539	+	0.949062i
$636$	−0.0228058	+	0.242210i	−0.000904308	+	0.00960427i
$637$	3.98193	−	6.89690i	0.157770	−	0.273265i
$638$	20.2159	+	15.0185i	0.800354	+	0.594589i
$639$	−5.78186	+	4.39538i	−0.228727	+	0.173878i
$640$	33.4960	−	24.3363i	1.32405	−	0.961976i
$641$	14.7011	+	3.12481i	0.580657	+	0.123422i	0.488871	−	0.872356i	$-0.337409\pi$
$641$	14.7011	+	3.12481i	0.580657	+	0.123422i	0.0917863	+	0.995779i	$0.470742\pi$
$642$	−7.53197	+	13.3786i	−0.297263	+	0.528011i
$643$	−1.34503	+	12.7971i	−0.0530426	+	0.504667i	0.935457	+	0.353441i	$0.114989\pi$
$643$	−1.34503	+	12.7971i	−0.0530426	+	0.504667i	−0.988499	+	0.151226i	$0.951678\pi$
$644$	0.0129917	−	0.123608i	0.000511945	−	0.00487083i
$645$	9.11050	−	0.0987585i	0.358726	−	0.00388861i
$646$	25.8823	+	5.50144i	1.01832	+	0.216451i
$647$	15.1827	−	11.0309i	0.596894	−	0.433669i	−0.247881	−	0.968791i	$-0.579734\pi$
$647$	15.1827	−	11.0309i	0.596894	−	0.433669i	0.844775	+	0.535121i	$0.179734\pi$
$648$	−6.68585	+	24.0827i	−0.262645	+	0.946058i
$649$	11.4488	+	36.5531i	0.449404	+	1.43483i
$650$	−5.96480	+	10.3313i	−0.233959	+	0.405228i
$651$	2.69765	+	1.91563i	0.105729	+	0.0750795i
$652$	0.671284	−	0.745536i	0.0262895	−	0.0291974i
$653$	16.7669	−	3.56391i	0.656138	−	0.139466i	0.132200	−	0.991223i	$-0.457796\pi$
$653$	16.7669	−	3.56391i	0.656138	−	0.139466i	0.523938	+	0.851757i	$0.324462\pi$
$654$	−19.7430	−	21.4545i	−0.772014	−	0.838939i
$655$	49.0007	−	21.8165i	1.91461	−	0.852441i
$656$	14.2647	−	43.9021i	0.556941	−	1.71409i
$657$	8.30960	+	5.76626i	0.324188	+	0.224963i
$658$	3.46858	−	2.52007i	0.135219	−	0.0982427i
$659$	20.2286	−	35.0370i	0.787995	−	1.36485i	−0.139198	−	0.990265i	$-0.544452\pi$
$659$	20.2286	−	35.0370i	0.787995	−	1.36485i	0.927193	−	0.374583i	$-0.122214\pi$
$660$	0.933669	−	1.03739i	0.0363430	−	0.0403802i
$661$	−13.2018	−	22.8661i	−0.513489	−	0.889390i	−0.999878	−	0.0156469i	$-0.995019\pi$
$661$	−13.2018	−	22.8661i	−0.513489	−	0.889390i	0.486388	−	0.873743i	$-0.338314\pi$
$662$	9.97301	+	4.44027i	0.387612	+	0.172576i
$663$	−7.56051	−	3.26843i	−0.293626	−	0.126935i
$664$	21.0657	+	23.3958i	0.817507	+	0.907934i
$665$	−4.26516	−	3.09882i	−0.165396	−	0.120167i
$666$	−7.44856	+	13.5725i	−0.288626	+	0.525924i
$667$	8.61585	−	26.5168i	0.333607	−	1.02674i
$668$	0.924476	+	0.196504i	0.0357691	+	0.00760295i
$669$	−10.5448	+	4.83249i	−0.407686	+	0.186835i
$670$	−10.4997	−	18.1860i	−0.405638	−	0.702585i
$671$	12.8203	+	22.7607i	0.494922	+	0.878666i
$672$	0.0735779	+	0.218367i	0.00283833	+	0.00842368i
$673$	2.32013	+	22.0746i	0.0894346	+	0.850913i	0.943639	+	0.330976i	$0.107378\pi$
$673$	2.32013	+	22.0746i	0.0894346	+	0.850913i	−0.854205	+	0.519937i	$0.825955\pi$
$674$	−6.40622	−	19.7163i	−0.246758	−	0.759444i
$675$	−5.09691	−	36.9056i	−0.196180	−	1.42050i
$676$	0.657096	+	0.477409i	0.0252729	+	0.0183619i
$677$	−33.8239	+	15.0594i	−1.29996	+	0.578779i	−0.935791	−	0.352555i	$-0.885313\pi$
$677$	−33.8239	+	15.0594i	−1.29996	+	0.578779i	−0.364167	+	0.931333i	$0.618646\pi$
$678$	−1.04280	+	0.0113041i	−0.0400487	+	0.000434130i
$679$	2.94746	−	3.27348i	0.113113	−	0.125625i
$680$	−36.3906	−	16.2021i	−1.39551	−	0.621323i
$681$	10.4382	+	2.10073i	0.399994	+	0.0805000i
$682$	26.3278	+	5.88927i	1.00814	+	0.225512i
$683$	27.2029			1.04089			0.520445	−	0.853895i	$-0.325766\pi$
$683$	27.2029			1.04089			0.520445	+	0.853895i	$0.325766\pi$
$684$	−0.909749	+	0.214086i	−0.0347851	+	0.00818576i
$685$	−2.11458	−	6.50801i	−0.0807940	−	0.248658i
$686$	4.51591	+	5.01543i	0.172418	+	0.191490i
$687$	38.7322	−	8.67262i	1.47772	−	0.330881i
$688$	−0.651651	+	6.20004i	−0.0248439	+	0.236374i
$689$	−2.28157	+	0.484963i	−0.0869210	+	0.0184756i
$690$	−42.1484	−	18.2209i	−1.60456	−	0.693656i
$691$	−1.55756	−	14.8192i	−0.0592522	−	0.563747i	−0.983367	−	0.181631i	$-0.941862\pi$
$691$	−1.55756	−	14.8192i	−0.0592522	−	0.563747i	0.924114	−	0.382116i	$-0.124804\pi$
$692$	−1.22480			−0.0465598
$693$	−1.71281	−	2.89238i	−0.0650644	−	0.109872i
$694$	−24.2297			−0.919746
$695$	6.43493	+	61.2242i	0.244091	+	2.32237i
$696$	2.92729	+	25.2186i	0.110959	+	0.955909i
$697$	−44.9052	+	9.54489i	−1.70091	+	0.361539i
$698$	−4.59836	+	43.7505i	−0.174051	+	1.65598i
$699$	−6.10238	+	19.4978i	−0.230813	+	0.737476i
$700$	−0.112881	−	0.125367i	−0.00426651	−	0.00473844i
$701$	−1.74688	−	5.37634i	−0.0659787	−	0.203062i	0.912632	−	0.408782i	$-0.134046\pi$
$701$	−1.74688	−	5.37634i	−0.0659787	−	0.203062i	−0.978611	+	0.205720i	$0.934046\pi$
$702$	8.64102	−	0.281096i	0.326134	−	0.0106093i
$703$	16.0465			0.605204
$704$	−16.8908	−	19.1648i	−0.636595	−	0.722302i
$705$	−17.0195	−	50.5109i	−0.640991	−	1.90235i
$706$	0.639364	+	0.284663i	0.0240628	+	0.0107134i
$707$	0.493581	−	0.548178i	0.0185630	−	0.0206163i
$708$	0.683449	−	1.21397i	0.0256856	−	0.0456238i
$709$	43.3393	−	19.2959i	1.62764	−	0.724672i	0.629030	−	0.777381i	$-0.283452\pi$
$709$	43.3393	−	19.2959i	1.62764	−	0.724672i	0.998610	+	0.0527085i	$0.0167854\pi$
$710$	9.82960	+	7.14163i	0.368898	+	0.268020i
$711$	−25.1630	−	4.78093i	−0.943687	−	0.179299i
$712$	2.96918	+	9.13819i	0.111275	+	0.342468i
$713$	−3.12206	−	29.7044i	−0.116922	−	1.11244i
$714$	2.28811	−	2.59728i	0.0856304	−	0.0972007i
$715$	12.1661	+	5.57236i	0.454986	+	0.208394i
$716$	0.560020	+	0.969983i	0.0209289	+	0.0362500i
$717$	1.56728	−	16.6454i	0.0585312	−	0.621635i
$718$	−48.0978	−	10.2235i	−1.79499	−	0.381538i
$719$	6.92225	−	21.3045i	0.258157	−	0.794524i	−0.735035	−	0.678029i	$-0.762834\pi$
$719$	6.92225	−	21.3045i	0.258157	−	0.794524i	0.993191	−	0.116495i	$-0.0371658\pi$
$720$	43.2593	−	0.937977i	1.61218	−	0.0349563i
$721$	0.238212	+	0.173071i	0.00887146	+	0.00644549i
$722$	0.971950	+	1.07946i	0.0361722	+	0.0401733i
$723$	1.45127	+	12.5027i	0.0539732	+	0.464980i
$724$	−0.945283	−	0.420867i	−0.0351312	−	0.0156414i
$725$	−18.9219	−	32.7737i	−0.702742	−	1.21718i
$726$	−22.0057	−	16.3410i	−0.816710	−	0.606471i
$727$	−9.63134	+	16.6820i	−0.357207	+	0.618700i	−0.987493	−	0.157663i	$-0.949604\pi$
$727$	−9.63134	+	16.6820i	−0.357207	+	0.618700i	0.630286	+	0.776363i	$0.282937\pi$
$728$	−0.877853	+	0.637798i	−0.0325354	+	0.0236383i
$729$	−20.7658	+	17.2563i	−0.769105	+	0.639122i
$730$	5.22864	−	16.0921i	0.193521	−	0.595595i
$731$	5.66401	−	2.52178i	0.209491	−	0.0932714i
$732$	0.283786	−	0.906730i	0.0104890	−	0.0335137i
$733$	−36.2830	+	7.71220i	−1.34014	+	0.284856i	−0.821537	−	0.570156i	$-0.806883\pi$
$733$	−36.2830	+	7.71220i	−1.34014	+	0.284856i	−0.518608	+	0.855012i	$0.673549\pi$
$734$	−2.27526	+	2.52693i	−0.0839813	+	0.0932706i
$735$	37.8239	−	17.3339i	1.39515	−	0.639372i
$736$	1.04008	−	1.80147i	0.0383379	−	0.0664032i
$737$	−11.3132	+	8.03721i	−0.416726	+	0.296054i
$738$	38.3611	−	29.1621i	1.41209	−	1.07347i
$739$	−24.2184	+	17.5957i	−0.890888	+	0.647268i	−0.936109	−	0.351709i	$-0.885601\pi$
$739$	−24.2184	+	17.5957i	−0.890888	+	0.647268i	0.0452217	+	0.998977i	$0.485601\pi$
$740$	0.852494	+	0.181203i	0.0313383	+	0.00666116i
$741$	−4.56424	−	7.71124i	−0.167672	−	0.283280i
$742$	0.102462	−	0.974857i	0.00376148	−	0.0357881i
$743$	0.648618	−	6.17119i	0.0237955	−	0.226399i	−0.976161	−	0.217049i	$-0.930357\pi$
$743$	0.648618	−	6.17119i	0.0237955	−	0.226399i	0.999956	−	0.00935030i	$-0.00297633\pi$
$744$	13.8529	+	23.4044i	0.507873	+	0.858046i
$745$	2.30180	+	0.489263i	0.0843314	+	0.0179252i
$746$	26.6135	−	19.3358i	0.974389	−	0.707935i
$747$	4.28734	+	33.7382i	0.156865	+	1.23442i
$748$	0.303072	−	0.900098i	0.0110814	−	0.0329108i
$749$	1.04081	−	1.80273i	0.0380303	−	0.0658705i
$750$	−17.1473	+	7.85826i	−0.626130	+	0.286943i
$751$	0.321693	−	0.357276i	0.0117387	−	0.0130372i	−0.737247	−	0.675623i	$-0.763875\pi$
$751$	0.321693	−	0.357276i	0.0117387	−	0.0130372i	0.748986	+	0.662586i	$0.230541\pi$
$752$	35.6741	−	7.58277i	1.30090	−	0.276515i
$753$	−6.79924	+	21.7244i	−0.247778	+	0.791680i
$754$	8.02278	−	3.57197i	0.292172	−	0.130084i
$755$	−5.95503	+	18.3277i	−0.216726	+	0.667014i
$756$	−0.0339796	+	0.117442i	−0.00123582	+	0.00427132i
$757$	−7.65001	+	5.55806i	−0.278045	+	0.202011i	−0.718064	−	0.695977i	$-0.754972\pi$
$757$	−7.65001	+	5.55806i	−0.278045	+	0.202011i	0.440020	+	0.897988i	$0.354972\pi$
$758$	−19.4945	+	33.7655i	−0.708074	+	1.22642i
$759$	−9.37108	+	28.8620i	−0.340149	+	1.04763i
$760$	−21.6680	−	37.5301i	−0.785981	−	1.36136i
$761$	0.514715	+	0.229166i	0.0186584	+	0.00830725i	0.416045	−	0.909344i	$-0.363416\pi$
$761$	0.514715	+	0.229166i	0.0186584	+	0.00830725i	−0.397386	+	0.917651i	$0.630083\pi$
$762$	−2.65040	−	22.8332i	−0.0960138	−	0.827159i
$763$	2.64513	+	2.93772i	0.0957602	+	0.106352i
$764$	0.0763161	+	0.0554469i	0.00276102	+	0.00200600i
$765$	−22.3190	−	36.7919i	−0.806944	−	1.33021i
$766$	9.33392	−	28.7268i	0.337248	−	1.03794i
$767$	13.0653	+	2.77711i	0.471759	+	0.100276i
$768$	−0.271063	+	2.87885i	−0.00978115	+	0.103881i
$769$	22.9258	+	39.7086i	0.826725	+	1.43193i	0.900594	+	0.434662i	$0.143132\pi$
$769$	22.9258	+	39.7086i	0.826725	+	1.43193i	−0.0738688	+	0.997268i	$0.523535\pi$
$770$	−3.80701	+	4.13880i	−0.137195	+	0.149152i
$771$	−2.09098	+	2.37351i	−0.0753050	+	0.0854800i
$772$	0.162619	+	1.54722i	0.00585278	+	0.0556855i
$773$	−14.6681	−	45.1438i	−0.527575	−	1.62371i	−0.759166	−	0.650897i	$-0.774393\pi$
$773$	−14.6681	−	45.1438i	−0.527575	−	1.62371i	0.231591	−	0.972813i	$-0.425607\pi$
$774$	−4.24869	+	4.92948i	−0.152716	+	0.177187i
$775$	−32.7977	−	23.8289i	−1.17813	−	0.855960i
$776$	33.0779	−	14.7272i	1.18743	−	0.528677i
$777$	1.02979	−	1.82915i	0.0369434	−	0.0656203i
$778$	6.79052	−	7.54164i	0.243452	−	0.270381i
$779$	−45.6260	−	20.3140i	−1.63472	−	0.727825i
$780$	−0.155404	−	0.461213i	−0.00556436	−	0.0165141i
$781$	4.08838	−	6.91061i	0.146294	−	0.247281i
$782$	−31.2472			−1.11740
$783$	−12.9335	+	24.1850i	−0.462207	+	0.864301i
$784$	8.79746	+	27.0758i	0.314195	+	0.966993i
$785$	−1.85534	−	2.06057i	−0.0662200	−	0.0735448i
$786$	−11.4435	+	36.5632i	−0.408175	+	1.30417i
$787$	2.57646	−	24.5133i	0.0918408	−	0.873806i	−0.847494	−	0.530805i	$-0.821890\pi$
$787$	2.57646	−	24.5133i	0.0918408	−	0.873806i	0.939335	−	0.343002i	$-0.111444\pi$
$788$	−0.595834	+	0.126648i	−0.0212257	+	0.00451166i
$789$	−1.05334	−	9.07453i	−0.0374999	−	0.323062i
$790$	4.47886	+	42.6135i	0.159351	+	1.51612i
$791$	0.141395			0.00502742
$792$	−3.19178	−	27.4464i	−0.113415	−	0.975266i
$793$	9.10942			0.323485
$794$	−0.232222	−	2.20944i	−0.00824124	−	0.0784101i
$795$	−11.1857	−	4.83562i	−0.396717	−	0.171502i
$796$	−0.435391	+	0.0925453i	−0.0154320	+	0.00328018i
$797$	4.22456	−	40.1940i	0.149641	−	1.42374i	−0.619667	−	0.784865i	$-0.712732\pi$
$797$	4.22456	−	40.1940i	0.149641	−	1.42374i	0.769308	−	0.638878i	$-0.220601\pi$
$798$	3.67468	−	0.822807i	0.130082	−	0.0291270i
$799$	−24.2702	−	26.9548i	−0.858618	−	0.953592i
$800$	−0.872487	−	2.68524i	−0.0308471	−	0.0949376i
$801$	−2.99279	+	9.93900i	−0.105745	+	0.351177i
$802$	31.8835			1.12585
$803$	−10.9121	−	2.44093i	−0.385080	−	0.0861386i
$804$	0.494809	+	0.0995817i	0.0174506	+	0.00351197i
$805$	5.68750	+	2.53224i	0.200458	+	0.0892496i
$806$	6.29501	−	6.99132i	0.221732	−	0.246259i
$807$	−30.0551	+	0.325799i	−1.05799	+	0.0114687i
$808$	5.53923	−	2.46622i	0.194869	−	0.0867615i
$809$	−10.3850	−	7.54517i	−0.365119	−	0.265274i	0.390065	−	0.920787i	$-0.372452\pi$
$809$	−10.3850	−	7.54517i	−0.365119	−	0.265274i	−0.755184	+	0.655513i	$0.772452\pi$
$810$	37.6584	+	24.9404i	1.32318	+	0.876316i
$811$	11.5743	+	35.6220i	0.406428	+	1.25086i	0.919697	+	0.392629i	$0.128434\pi$
$811$	11.5743	+	35.6220i	0.406428	+	1.25086i	−0.513269	+	0.858228i	$0.671566\pi$
$812$	0.0129812	+	0.123508i	0.000455550	+	0.00433427i
$813$	4.48651	+	13.3152i	0.157349	+	0.466984i
$814$	1.96992	−	17.0023i	0.0690456	−	0.595931i
$815$	25.1261	+	43.5196i	0.880128	+	1.52443i
$816$	26.7677	−	12.2671i	0.937056	−	0.429434i
$817$	6.59764	+	1.40237i	0.230822	+	0.0490627i
$818$	−2.10553	+	6.48015i	−0.0736180	+	0.226573i
$819$	−1.17192	+	0.0254104i	−0.0409502	+	0.000887910i
$820$	−2.19456	−	1.59444i	−0.0766374	−	0.0556803i
$821$	−31.8297	−	35.3505i	−1.11087	−	1.23374i	−0.969842	−	0.243735i	$-0.921627\pi$
$821$	−31.8297	−	35.3505i	−1.11087	−	1.23374i	−0.141024	−	0.990006i	$-0.545039\pi$
$822$	4.48645	+	1.93950i	0.156483	+	0.0676479i
$823$	36.7291	+	16.3528i	1.28030	+	0.570024i	0.930325	−	0.366736i	$-0.119525\pi$
$823$	36.7291	+	16.3528i	1.28030	+	0.570024i	0.349971	+	0.936761i	$0.386192\pi$
$824$	1.21017	+	2.09608i	0.0421583	+	0.0730203i
$825$	20.6015	+	35.6654i	0.717253	+	1.24171i
$826$	−2.80660	+	4.86117i	−0.0976541	+	0.169142i
$827$	−22.4362	+	16.3008i	−0.780182	+	0.566835i	−0.905034	−	0.425340i	$-0.860154\pi$
$827$	−22.4362	+	16.3008i	−0.780182	+	0.566835i	0.124852	+	0.992175i	$0.460154\pi$
$828$	0.998284	−	0.470654i	0.0346928	−	0.0163563i
$829$	15.8416	−	48.7555i	0.550202	−	1.69335i	−0.158087	−	0.987425i	$-0.550533\pi$
$829$	15.8416	−	48.7555i	0.550202	−	1.69335i	0.708289	−	0.705923i	$-0.249467\pi$
$830$	51.9758	−	23.1411i	1.80411	−	0.803240i
$831$	−22.8263	−	24.8051i	−0.791837	−	0.860481i
$832$	−8.71351	+	1.85211i	−0.302087	+	0.0642105i
$833$	18.9452	−	21.0408i	0.656412	−	0.729020i
$834$	−35.8520	−	25.4588i	−1.24145	−	0.881568i
$835$	−23.6712	+	40.9998i	−0.819177	+	1.41886i
$836$	0.842314	−	0.598404i	0.0291320	−	0.0206962i
$837$	−2.11943	+	29.3036i	−0.0732583	+	1.01288i
$838$	−46.8980	+	34.0734i	−1.62007	+	1.17705i
$839$	−0.134675	−	0.0286261i	−0.00464951	−	0.000988284i	0.205586	−	0.978639i	$-0.434090\pi$
$839$	−0.134675	−	0.0286261i	−0.00464951	−	0.000988284i	−0.210236	+	0.977651i	$0.567423\pi$
$840$	−5.66862	+	0.0614482i	−0.195586	+	0.00212017i
$841$	0.119280	−	1.13487i	0.00411310	−	0.0391335i
$842$	2.04573	−	19.4638i	0.0705004	−	0.670766i
$843$	−24.6324	+	43.7531i	−0.848386	+	1.50694i
$844$	−0.449202	−	0.0954809i	−0.0154622	−	0.00328659i
$845$	−32.9146	+	23.9139i	−1.13230	+	0.822662i
$846$	35.1077	+	14.7276i	1.20703	+	0.506344i
$847$	2.95942	+	2.24777i	0.101687	+	0.0772343i
$848$	4.16919	−	7.22124i	0.143170	−	0.247978i
$849$	−1.58715	+	16.8565i	−0.0544710	+	0.578513i
$850$	−28.3793	+	31.5184i	−0.973402	+	1.08107i
$851$	−18.5352	+	3.93978i	−0.635379	+	0.135054i
$852$	−0.284976	+	0.0638098i	−0.00976313	+	0.00218609i
$853$	14.0329	−	6.24787i	0.480479	−	0.213923i	−0.152181	−	0.988353i	$-0.548630\pi$
$853$	14.0329	−	6.24787i	0.480479	−	0.213923i	0.632660	+	0.774430i	$0.281963\pi$
$854$	−1.18296	+	3.64077i	−0.0404800	+	0.124585i
$855$	3.88307	−	46.6537i	0.132798	−	1.59552i
$856$	13.8430	−	10.0575i	0.473144	−	0.343759i
$857$	11.5275	−	19.9662i	0.393773	−	0.682034i	−0.599171	−	0.800621i	$-0.704503\pi$
$857$	11.5275	−	19.9662i	0.393773	−	0.682034i	0.992944	+	0.118587i	$0.0378364\pi$
$858$	−8.73090	+	3.88947i	−0.298068	+	0.132784i
$859$	27.0597	+	46.8688i	0.923265	+	1.59914i	0.794328	+	0.607489i	$0.207823\pi$
$859$	27.0597	+	46.8688i	0.923265	+	1.59914i	0.128937	+	0.991653i	$0.458844\pi$
$860$	0.334674	+	0.149006i	0.0114123	+	0.00508107i
$861$	−5.24367	+	3.89728i	−0.178704	+	0.132819i
$862$	7.56093	+	8.39726i	0.257526	+	0.286012i
$863$	34.3062	+	24.9249i	1.16780	+	0.848453i	0.990743	−	0.135748i	$-0.0433439\pi$
$863$	34.3062	+	24.9249i	1.16780	+	0.848453i	0.177052	+	0.984201i	$0.443344\pi$
$864$	−1.31900	+	1.56433i	−0.0448734	+	0.0532195i
$865$	18.9586	−	58.3486i	0.644612	−	1.98391i
$866$	−1.94292	−	0.412981i	−0.0660232	−	0.0140337i
$867$	0.131713	+	0.0935306i	0.00447320	+	0.00317647i
$868$	0.0665182	+	0.115213i	0.00225778	+	0.00391058i
$869$	27.7586	−	5.59263i	0.941647	−	0.189717i
$870$	44.9792	+	9.05220i	1.52494	+	0.306898i
$871$	0.505841	+	4.81276i	0.0171398	+	0.163074i
$872$	10.0413	+	30.9040i	0.340042	+	1.04654i
$873$	38.4276	+	7.30117i	1.30058	+	0.247107i
$874$	−27.5017	−	19.9811i	−0.930258	−	0.675872i
$875$	2.33629	−	1.04018i	0.0789811	−	0.0351646i
$876$	0.207149	+	0.349976i	0.00699891	+	0.0118246i
$877$	−34.0071	+	37.7688i	−1.14834	+	1.27536i	−0.192557	+	0.981286i	$0.561678\pi$
$877$	−34.0071	+	37.7688i	−1.14834	+	1.27536i	−0.955783	+	0.294074i	$0.904989\pi$
$878$	−7.24060	−	3.22372i	−0.244358	−	0.108795i
$879$	28.8628	−	32.7627i	0.973519	−	1.10506i
$880$	−43.9048	+	18.9912i	−1.48003	+	0.640193i
$881$	−33.9359			−1.14333			−0.571665	−	0.820487i	$-0.693702\pi$
$881$	−33.9359			−1.14333			−0.571665	+	0.820487i	$0.693702\pi$
$882$	−8.56868	+	28.4564i	−0.288522	+	0.958178i
$883$	−14.3560	−	44.1833i	−0.483119	−	1.48689i	−0.834687	−	0.550725i	$-0.814351\pi$
$883$	−14.3560	−	44.1833i	−0.483119	−	1.48689i	0.351568	−	0.936162i	$-0.385649\pi$
$884$	−0.221610	−	0.246123i	−0.00745356	−	0.00827802i
$885$	47.2537	+	51.3501i	1.58841	+	1.72611i
$886$	−0.165917	+	1.57859i	−0.00557409	+	0.0530339i
$887$	23.9450	−	5.08967i	0.803996	−	0.170895i	0.212456	−	0.977171i	$-0.431854\pi$
$887$	23.9450	−	5.08967i	0.803996	−	0.170895i	0.591539	+	0.806276i	$0.298520\pi$
$888$	13.8485	−	10.2927i	0.464726	−	0.345401i
$889$	0.325771	+	3.09951i	0.0109260	+	0.103954i
$890$	17.3644			0.582056
$891$	14.0709	−	26.3251i	0.471391	−	0.881924i
$892$	−0.466401			−0.0156162
$893$	−4.12465	−	39.2435i	−0.138026	−	1.31323i
$894$	−1.34904	+	1.00266i	−0.0451188	+	0.0335339i
$895$	−54.8779	+	11.6647i	−1.83436	+	0.389906i
$896$	0.419122	−	3.98768i	0.0140019	−	0.133219i
$897$	7.16543	+	7.78660i	0.239247	+	0.259987i
$898$	1.38884	+	1.54246i	0.0463461	+	0.0514726i
$899$	9.22225	+	28.3832i	0.307579	+	0.946632i
$900$	0.431921	−	1.43440i	0.0143974	−	0.0478135i
$901$	−8.29267			−0.276269
$902$	−27.1253	+	45.8500i	−0.903173	+	1.52664i
$903$	0.583262	−	0.662071i	0.0194097	−	0.0220323i
$904$	1.06178	+	0.472736i	0.0353143	+	0.0157230i
$905$	34.6818	−	38.5181i	1.15286	−	1.28038i
$906$	−7.01116	−	11.8453i	−0.232930	−	0.393533i
$907$	−31.4183	+	13.9883i	−1.04323	+	0.464475i	−0.855531	−	0.517752i	$-0.826769\pi$
$907$	−31.4183	+	13.9883i	−1.04323	+	0.464475i	−0.187697	+	0.982227i	$0.560102\pi$
$908$	0.346362	+	0.251647i	0.0114944	+	0.00835118i
$909$	6.43509	+	1.22266i	0.213438	+	0.0405529i
$910$	0.605972	+	1.86499i	0.0200878	+	0.0618238i
$911$	1.64859	+	15.6853i	0.0546203	+	0.519677i	0.987288	+	0.158941i	$0.0508079\pi$
$911$	1.64859	+	15.6853i	0.0546203	+	0.519677i	−0.932668	+	0.360736i	$0.882525\pi$
$912$	31.4033	+	6.32001i	1.03987	+	0.209276i
$913$	−18.4524	−	32.7596i	−0.610685	−	1.08419i
$914$	21.6998	+	37.5852i	0.717767	+	1.24321i
$915$	38.8033	+	27.5546i	1.28280	+	0.910928i
$916$	1.56107	+	0.331816i	0.0515792	+	0.0109635i
$917$	1.60518	−	4.94024i	0.0530078	−	0.163141i
$918$	30.2571	+	5.40966i	0.998632	+	0.178545i
$919$	−24.4677	−	17.7768i	−0.807115	−	0.586403i	0.105878	−	0.994379i	$-0.466235\pi$
$919$	−24.4677	−	17.7768i	−0.807115	−	0.586403i	−0.912993	+	0.407976i	$0.866235\pi$
$920$	34.2431	+	38.0308i	1.12896	+	1.25384i
$921$	−6.22309	+	4.62522i	−0.205058	+	0.152406i
$922$	−35.0603	−	15.6098i	−1.15465	−	0.514083i
$923$	−1.39998	−	2.42484i	−0.0460809	−	0.0798145i
$924$	−0.0141568	−	0.134419i	−0.000465724	−	0.00442205i
$925$	−12.8600	+	22.2743i	−0.422836	+	0.732373i
$926$	−0.811777	+	0.589790i	−0.0266766	+	0.0193817i
$927$	−0.216872	+	2.60563i	−0.00712301	+	0.0855803i
$928$	−0.642285	+	1.97675i	−0.0210840	+	0.0648900i
$929$	0.280269	−	0.124784i	0.00919534	−	0.00409403i	−0.402134	−	0.915581i	$-0.631731\pi$
$929$	0.280269	−	0.124784i	0.00919534	−	0.00409403i	0.411329	+	0.911487i	$0.365065\pi$
$930$	47.9625	−	10.7394i	1.57275	−	0.352159i
$931$	30.1289	−	6.40409i	0.987434	−	0.209886i
$932$	−0.549684	+	0.610486i	−0.0180055	+	0.0199971i
$933$	3.67948	−	39.0781i	0.120461	−	1.27936i
$934$	−23.0360	+	39.8994i	−0.753760	+	1.30555i
$935$	38.1888	+	28.3707i	1.24891	+	0.927823i
$936$	−8.88530	−	3.72735i	−0.290425	−	0.121832i
$937$	−11.1295	+	8.08603i	−0.363584	+	0.264159i	−0.754545	−	0.656248i	$-0.772143\pi$
$937$	−11.1295	+	8.08603i	−0.363584	+	0.264159i	0.390962	+	0.920407i	$0.372143\pi$
$938$	−1.98921	−	0.422820i	−0.0649500	−	0.0138055i
$939$	−14.1756	+	25.1792i	−0.462602	+	0.821692i
$940$	0.224024	−	2.13145i	0.00730686	−	0.0695201i
$941$	−0.260162	+	2.47528i	−0.00848105	+	0.0806918i	−0.997944	−	0.0640965i	$-0.979583\pi$
$941$	−0.260162	+	2.47528i	−0.00848105	+	0.0806918i	0.989463	+	0.144788i	$0.0462501\pi$
$942$	1.98040	−	0.0214677i	0.0645249	−	0.000699454i
$943$	57.6900	+	12.2624i	1.87864	+	0.399318i
$944$	−38.6298	+	28.0662i	−1.25729	+	0.913477i
$945$	−5.06888	−	3.43664i	−0.164891	−	0.111794i
$946$	2.29585	−	6.81848i	0.0746446	−	0.221688i
$947$	7.58098	−	13.1306i	0.246349	−	0.426689i	−0.716161	−	0.697935i	$-0.754102\pi$
$947$	7.58098	−	13.1306i	0.246349	−	0.426689i	0.962510	+	0.271246i	$0.0874358\pi$
$948$	−0.839703	−	0.596281i	−0.0272723	−	0.0193663i
$949$	−2.60910	+	2.89770i	−0.0846950	+	0.0940633i
$950$	−45.1321	+	9.59312i	−1.46428	+	0.311242i
$951$	−29.7526	−	32.3318i	−0.964793	−	1.04843i
$952$	−3.52419	+	1.56907i	−0.114220	+	0.0508538i
$953$	6.45470	−	19.8655i	0.209088	−	0.643507i	−0.790433	−	0.612549i	$-0.790144\pi$
$953$	6.45470	−	19.8655i	0.209088	−	0.643507i	0.999521	−	0.0309580i	$-0.00985581\pi$
$954$	7.87316	−	3.71190i	0.254903	−	0.120177i
$955$	−3.82275	+	2.77739i	−0.123701	+	0.0898742i
$956$	0.336128	−	0.582191i	0.0108712	−	0.0188294i
$957$	3.16298	−	30.1552i	0.102245	−	0.974780i
$958$	15.8166	+	27.3951i	0.511010	+	0.885095i
$959$	−0.605400	−	0.269542i	−0.0195494	−	0.00870395i
$960$	−42.7192	−	18.4676i	−1.37876	−	0.596040i
$961$	0.649199	+	0.721009i	0.0209419	+	0.0232584i
$962$	−4.82870	−	3.50825i	−0.155683	−	0.113111i
$963$	18.4802	−	0.400700i	0.595516	−	0.0129124i
$964$	−0.156392	+	0.481326i	−0.00503705	+	0.0155025i
$965$	−76.2255	−	16.2022i	−2.45379	−	0.521568i
$966$	−4.04259	+	1.85264i	−0.130068	+	0.0596077i
$967$	−28.6868	−	49.6870i	−0.922505	−	1.59783i	−0.795525	−	0.605920i	$-0.792805\pi$
$967$	−28.6868	−	49.6870i	−0.922505	−	1.59783i	−0.126980	−	0.991905i	$-0.540528\pi$
$968$	14.7081	+	26.7737i	0.472737	+	0.860539i
$969$	−10.1723	−	30.1897i	−0.326782	−	0.969833i
$970$	−6.83988	−	65.0771i	−0.219615	−	2.08950i
$971$	1.39820	+	4.30322i	0.0448704	+	0.138097i	0.970982	−	0.239153i	$-0.0768698\pi$
$971$	1.39820	+	4.30322i	0.0448704	+	0.138097i	−0.926111	+	0.377250i	$0.876870\pi$
$972$	−1.04813	+	0.282912i	−0.0336189	+	0.00907442i
$973$	4.82322	+	3.50427i	0.154625	+	0.112342i
$974$	23.0270	−	10.2523i	0.737832	−	0.328504i
$975$	14.3619	−	0.155684i	0.459950	−	0.00498589i
$976$	−21.7898	+	24.2000i	−0.697474	+	0.774624i
$977$	−16.3918	−	7.29808i	−0.524419	−	0.233486i	0.127413	−	0.991850i	$-0.459333\pi$
$977$	−16.3918	−	7.29808i	−0.524419	−	0.233486i	−0.651832	+	0.758363i	$0.725999\pi$
$978$	−35.1883	−	7.08174i	−1.12520	−	0.226449i
$979$	−1.07814	−	11.4246i	−0.0344576	−	0.365130i
$980$	1.67296			0.0534408
$981$	−10.1212	+	33.6122i	−0.323144	+	1.07316i
$982$	−0.0894786	−	0.275387i	−0.00285538	−	0.00878795i
$983$	−4.32046	−	4.79835i	−0.137801	−	0.153044i	0.670294	−	0.742096i	$-0.266168\pi$
$983$	−4.32046	−	4.79835i	−0.137801	−	0.153044i	−0.808095	+	0.589052i	$0.799501\pi$
$984$	−52.4065	+	11.7345i	−1.67066	+	0.374081i
$985$	3.18944	−	30.3455i	0.101624	−	0.966889i
$986$	30.5396	−	6.49140i	0.972580	−	0.206728i
$987$	−4.73808	−	2.04828i	−0.150815	−	0.0651976i
$988$	−0.0376620	−	0.358330i	−0.00119819	−	0.0114000i
$989$	−7.96522			−0.253279
$990$	−48.9560	−	9.84173i	−1.55592	−	0.312791i
$991$	12.2590			0.389420			0.194710	−	0.980861i	$-0.437623\pi$
$991$	12.2590			0.389420			0.194710	+	0.980861i	$0.437623\pi$
$992$	0.232740	+	2.21437i	0.00738950	+	0.0703064i
$993$	−1.51547	−	13.0558i	−0.0480919	−	0.414312i
$994$	1.15094	−	0.244640i	0.0365056	−	0.00775951i
$995$	2.33061	−	22.1743i	0.0738853	−	0.702972i
$996$	−0.408456	+	1.30506i	−0.0129424	+	0.0413526i
$997$	8.16575	+	9.06899i	0.258612	+	0.287218i	0.858443	−	0.512909i	$-0.171432\pi$
$997$	8.16575	+	9.06899i	0.258612	+	0.287218i	−0.599831	+	0.800127i	$0.704766\pi$
$998$	−10.8486	−	33.3885i	−0.343406	−	1.05689i
$999$	18.6300	−	0.606040i	0.589426	−	0.0191742i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	99.2.m.b.25.3	yes	72
3.2	odd	2		297.2.n.b.289.7		72
9.2	odd	6		891.2.f.e.487.7		36
9.4	even	3	inner	99.2.m.b.58.7	yes	72
9.5	odd	6		297.2.n.b.91.3		72
9.7	even	3		891.2.f.f.487.3		36
11.2	odd	10		1089.2.e.o.727.14		36
11.4	even	5	inner	99.2.m.b.70.7	yes	72
11.9	even	5		1089.2.e.p.727.5		36
33.26	odd	10		297.2.n.b.235.3		72
99.2	even	30		9801.2.a.cn.1.14		18
99.4	even	15	inner	99.2.m.b.4.3	✓	72
99.13	odd	30		1089.2.e.o.364.14		36
99.20	odd	30		9801.2.a.cp.1.5		18
99.31	even	15		1089.2.e.p.364.5		36
99.59	odd	30		297.2.n.b.37.7		72
99.70	even	15		891.2.f.f.730.3		36
99.79	odd	30		9801.2.a.co.1.5		18
99.92	odd	30		891.2.f.e.730.7		36
99.97	even	15		9801.2.a.cm.1.14		18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.m.b.4.3	✓	72	99.4	even	15	inner
99.2.m.b.25.3	yes	72	1.1	even	1	trivial
99.2.m.b.58.7	yes	72	9.4	even	3	inner
99.2.m.b.70.7	yes	72	11.4	even	5	inner
297.2.n.b.37.7		72	99.59	odd	30
297.2.n.b.91.3		72	9.5	odd	6
297.2.n.b.235.3		72	33.26	odd	10
297.2.n.b.289.7		72	3.2	odd	2
891.2.f.e.487.7		36	9.2	odd	6
891.2.f.e.730.7		36	99.92	odd	30
891.2.f.f.487.3		36	9.7	even	3
891.2.f.f.730.3		36	99.70	even	15
1089.2.e.o.364.14		36	99.13	odd	30
1089.2.e.o.727.14		36	11.2	odd	10
1089.2.e.p.364.5		36	99.31	even	15
1089.2.e.p.727.5		36	11.9	even	5
9801.2.a.cm.1.14		18	99.97	even	15
9801.2.a.cn.1.14		18	99.2	even	30
9801.2.a.co.1.5		18	99.79	odd	30
9801.2.a.cp.1.5		18	99.20	odd	30

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 99 = 3^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	99.m (of order \(15\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.150377 - 1.43074i) q^{2} +(-1.39014 + 1.03320i) q^{3} +(-0.0681222 + 0.0144798i) q^{4} +(0.364652 - 3.46943i) q^{5} +(1.68730 + 1.83357i) q^{6} +(-0.226061 - 0.251066i) q^{7} +(-0.858159 - 2.64114i) q^{8} +(0.864983 - 2.87260i) q^{9} -5.01870 q^{10} +(0.311608 + 3.30195i) q^{11} +(0.0797388 - 0.0905130i) q^{12} +(1.05656 + 0.470412i) q^{13} +(-0.325216 + 0.361189i) q^{14} +(3.07771 + 5.19975i) q^{15} +(-3.77700 + 1.68163i) q^{16} +(3.32650 + 2.41684i) q^{17} +(-4.24002 - 0.805597i) q^{18} +(1.38230 + 4.25428i) q^{19} +(0.0253958 + 0.241625i) q^{20} +(0.573658 + 0.115450i) q^{21} +(4.67739 - 0.942370i) q^{22} +(-2.64122 - 4.57472i) q^{23} +(3.92180 + 2.78491i) q^{24} +(-7.01322 - 1.49071i) q^{25} +(0.514156 - 1.58241i) q^{26} +(1.76553 + 4.88702i) q^{27} +(0.0190351 + 0.0138298i) q^{28} +(3.53177 + 3.92243i) q^{29} +(6.97670 - 5.18534i) q^{30} +(5.16539 + 2.29978i) q^{31} +(0.196895 + 0.341031i) q^{32} +(-3.84477 - 4.26823i) q^{33} +(2.95766 - 5.12281i) q^{34} +(-0.953487 + 0.692749i) q^{35} +(-0.0173299 + 0.208212i) q^{36} +(1.10852 - 3.41166i) q^{37} +(5.87893 - 2.61747i) q^{38} +(-1.95480 + 0.437705i) q^{39} +(-9.47618 + 2.01422i) q^{40} +(-7.47091 + 8.29728i) q^{41} +(0.0789147 - 0.838119i) q^{42} +(0.753935 - 1.30585i) q^{43} +(-0.0690391 - 0.220424i) q^{44} +(-9.65084 - 4.04849i) q^{45} +(-6.14808 + 4.46684i) q^{46} +(-8.62854 - 1.83405i) q^{47} +(3.51310 - 6.24010i) q^{48} +(0.719769 - 6.84814i) q^{49} +(-1.07819 + 10.2583i) q^{50} +(-7.12139 + 0.0771964i) q^{51} +(-0.0787868 - 0.0167467i) q^{52} +(-1.63163 + 1.18545i) q^{53} +(6.72658 - 3.26091i) q^{54} +(11.5695 + 0.122962i) q^{55} +(-0.469104 + 0.812512i) q^{56} +(-6.31713 - 4.48586i) q^{57} +(5.08090 - 5.64291i) q^{58} +(11.2967 - 2.40120i) q^{59} +(-0.284951 - 0.309654i) q^{60} +(7.19542 - 3.20361i) q^{61} +(2.51364 - 7.73619i) q^{62} +(-0.916749 + 0.432213i) q^{63} +(-6.23134 + 4.52733i) q^{64} +(2.01734 - 3.49413i) q^{65} +(-5.52858 + 6.14273i) q^{66} +(2.09211 + 3.62364i) q^{67} +(-0.261604 - 0.116474i) q^{68} +(8.39827 + 3.63059i) q^{69} +(1.13453 + 1.26002i) q^{70} +(-1.95860 - 1.42300i) q^{71} +(-8.32922 + 0.180600i) q^{72} +(-1.04183 + 3.20643i) q^{73} +(-5.04791 - 1.07297i) q^{74} +(11.2896 - 5.17379i) q^{75} +(-0.155767 - 0.269796i) q^{76} +(0.758565 - 0.824675i) q^{77} +(0.920202 + 2.73100i) q^{78} +(-0.892435 - 8.49095i) q^{79} +(4.45700 + 13.7172i) q^{80} +(-7.50361 - 4.96949i) q^{81} +(12.9947 + 9.44124i) q^{82} +(-10.3564 + 4.61098i) q^{83} +(-0.0407505 + 0.000441738i) q^{84} +(9.59808 - 10.6597i) q^{85} +(-1.98172 - 0.882318i) q^{86} +(-8.96233 - 1.80369i) q^{87} +(8.45352 - 3.65660i) q^{88} -3.45994 q^{89} +(-4.34109 + 14.4167i) q^{90} +(-0.120743 - 0.371608i) q^{91} +(0.246166 + 0.273395i) q^{92} +(-9.55675 + 2.13988i) q^{93} +(-1.32652 + 12.6210i) q^{94} +(15.2640 - 3.24446i) q^{95} +(-0.626066 - 0.270650i) q^{96} +(1.36288 + 12.9669i) q^{97} -9.90618 q^{98} +(9.75471 + 1.96101i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - q^{2} - 12 q^{3} + 11 q^{4} - 8 q^{5} - 7 q^{6} - 2 q^{7} + 6 q^{8} - 22 q^{9} - 8 q^{10} - 2 q^{11} - 16 q^{12} - 11 q^{13} - 10 q^{14} - 20 q^{15} - 9 q^{16} - 20 q^{17} - 21 q^{18} + 8 q^{19}+ \cdots - 182 q^{99}+O(q^{100}) \) 72 * q - q^2 - 12 * q^3 + 11 * q^4 - 8 * q^5 - 7 * q^6 - 2 * q^7 + 6 * q^8 - 22 * q^9 - 8 * q^10 - 2 * q^11 - 16 * q^12 - 11 * q^13 - 10 * q^14 - 20 * q^15 - 9 * q^16 - 20 * q^17 - 21 * q^18 + 8 * q^19 - 45 * q^20 - 16 * q^21 - 16 * q^22 + 20 * q^23 + 36 * q^24 + 11 * q^25 - 12 * q^26 + 27 * q^27 - 54 * q^28 - 23 * q^29 - 6 * q^30 + 3 * q^31 + 18 * q^32 + 28 * q^33 + 8 * q^34 + 18 * q^35 + 75 * q^36 - 42 * q^37 - q^38 - 11 * q^39 - 25 * q^40 + 10 * q^41 + 61 * q^42 - 8 * q^43 + 38 * q^44 + 40 * q^45 - 18 * q^46 - 34 * q^47 - 50 * q^48 + q^49 + 42 * q^51 - 27 * q^52 + 4 * q^53 + 34 * q^54 + 18 * q^55 + 114 * q^56 - 21 * q^57 + q^58 - 16 * q^59 - 63 * q^60 - 3 * q^61 + 184 * q^62 - 10 * q^63 + 26 * q^64 + 84 * q^65 + 93 * q^66 + 10 * q^67 - 23 * q^68 + 42 * q^69 - 46 * q^70 - 48 * q^71 + 2 * q^72 - 40 * q^73 + 68 * q^74 + 28 * q^75 + 16 * q^76 - 26 * q^77 - 64 * q^78 + 19 * q^79 - 56 * q^80 + 14 * q^81 + 94 * q^82 + 7 * q^83 - 15 * q^84 + 25 * q^85 - 77 * q^86 - 120 * q^87 + 18 * q^88 - 56 * q^89 - 64 * q^90 + 20 * q^91 + 50 * q^92 - 53 * q^93 - 63 * q^94 - 77 * q^95 - 97 * q^96 - 33 * q^97 - 328 * q^98 - 182 * q^99

Introduction

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