LMFDB - Embedded newform 429.2.bj.b.73.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("429.73");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

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

Embedding invariants

Embedding label			73.11
Character	$\chi$	$=$	429.73
Dual form			429.2.bj.b.382.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.48140 - 0.234631i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(0.237388 - 0.0771321i) q^{4} +(3.64808 + 0.577798i) q^{5} +(-0.234631 + 1.48140i) q^{6} +(1.93361 - 3.79492i) q^{7} +(-2.33921 + 1.19189i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})$	\(q+(1.48140 - 0.234631i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(0.237388 - 0.0771321i) q^{4} +(3.64808 + 0.577798i) q^{5} +(-0.234631 + 1.48140i) q^{6} +(1.93361 - 3.79492i) q^{7} +(-2.33921 + 1.19189i) q^{8} +(-0.809017 - 0.587785i) q^{9} +5.53984 q^{10} +(1.01187 - 3.15850i) q^{11} +0.249605i q^{12} +(-0.517609 + 3.56820i) q^{13} +(1.97405 - 6.07549i) q^{14} +(-1.67684 + 3.29098i) q^{15} +(-3.58953 + 2.60795i) q^{16} +(-0.898035 + 0.652461i) q^{17} +(-1.33639 - 0.680926i) q^{18} +(1.85861 + 3.64772i) q^{19} +(0.910577 - 0.144221i) q^{20} +(3.01167 + 3.01167i) q^{21} +(0.757909 - 4.91642i) q^{22} +0.714093i q^{23} +(-0.410697 - 2.59304i) q^{24} +(8.21933 + 2.67062i) q^{25} +(0.0704247 + 5.40739i) q^{26} +(0.809017 - 0.587785i) q^{27} +(0.166306 - 1.05001i) q^{28} +(-5.73001 + 1.86179i) q^{29} +(-1.71190 + 5.26870i) q^{30} +(-0.218181 - 1.37754i) q^{31} +(-0.992815 + 0.992815i) q^{32} +(2.69122 + 1.93838i) q^{33} +(-1.17726 + 1.17726i) q^{34} +(9.24665 - 12.7269i) q^{35} +(-0.237388 - 0.0771321i) q^{36} +(-10.7133 - 5.45868i) q^{37} +(3.60921 + 4.96766i) q^{38} +(-3.23361 - 1.59491i) q^{39} +(-9.22231 + 2.99651i) q^{40} +(-1.28764 - 2.52714i) q^{41} +(5.16812 + 3.75486i) q^{42} +2.11835 q^{43} +(-0.00341490 - 0.827839i) q^{44} +(-2.61173 - 2.61173i) q^{45} +(0.167548 + 1.05786i) q^{46} +(1.62187 + 3.18309i) q^{47} +(-1.37108 - 4.21975i) q^{48} +(-6.54809 - 9.01268i) q^{49} +(12.8027 + 2.02775i) q^{50} +(-0.343019 - 1.05570i) q^{51} +(0.152349 + 0.886974i) q^{52} +(-0.608525 - 0.442119i) q^{53} +(1.06057 - 1.06057i) q^{54} +(5.51637 - 10.9378i) q^{55} +11.1818i q^{56} +(-4.04353 + 0.640432i) q^{57} +(-8.05162 + 4.10250i) q^{58} +(-0.241537 - 0.123069i) q^{59} +(-0.144221 + 0.910577i) q^{60} +(7.93552 + 10.9223i) q^{61} +(-0.646428 - 1.98950i) q^{62} +(-3.79492 + 1.93361i) q^{63} +(3.97808 - 5.47536i) q^{64} +(-3.94998 + 12.7180i) q^{65} +(4.44159 + 2.24007i) q^{66} +(-9.85551 - 9.85551i) q^{67} +(-0.162857 + 0.224154i) q^{68} +(-0.679143 - 0.220667i) q^{69} +(10.7119 - 21.0233i) q^{70} +(-15.7204 - 2.48986i) q^{71} +(2.59304 + 0.410697i) q^{72} +(1.49434 - 2.93281i) q^{73} +(-17.1514 - 5.57284i) q^{74} +(-5.07982 + 6.99178i) q^{75} +(0.722568 + 0.722568i) q^{76} +(-10.0297 - 9.94728i) q^{77} +(-5.16450 - 1.60400i) q^{78} +(5.16086 - 7.10331i) q^{79} +(-14.6018 + 7.43997i) q^{80} +(0.309017 + 0.951057i) q^{81} +(-2.50046 - 3.44159i) q^{82} +(-2.35375 + 14.8610i) q^{83} +(0.947231 + 0.482638i) q^{84} +(-3.65309 + 1.86134i) q^{85} +(3.13813 - 0.497031i) q^{86} -6.02489i q^{87} +(1.39759 + 8.59445i) q^{88} +(-3.12353 + 3.12353i) q^{89} +(-4.48182 - 3.25624i) q^{90} +(12.5402 + 8.86380i) q^{91} +(0.0550795 + 0.169517i) q^{92} +(1.37754 + 0.218181i) q^{93} +(3.14949 + 4.33490i) q^{94} +(4.67269 + 14.3811i) q^{95} +(-0.637426 - 1.25102i) q^{96} +(-1.54485 - 9.75377i) q^{97} +(-11.8150 - 11.8150i) q^{98} +(-2.67514 + 1.96051i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9}+O(q^{10}) $ 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9	$ 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9} - 14 q^{11} + 10 q^{13} + 12 q^{14} + 4 q^{15} - 48 q^{16} - 2 q^{20} + 32 q^{22} + 30 q^{24} - 46 q^{26} + 28 q^{27} - 20 q^{29} - 24 q^{31} - 16 q^{33} - 16 q^{34} - 20 q^{35} + 12 q^{37} + 10 q^{39} - 40 q^{40} - 10 q^{41} + 28 q^{42} + 24 q^{44} - 4 q^{45} - 20 q^{46} - 62 q^{47} - 92 q^{48} - 90 q^{50} + 110 q^{52} + 68 q^{53} + 32 q^{55} - 30 q^{57} - 56 q^{58} + 16 q^{59} + 2 q^{60} + 20 q^{61} + 8 q^{66} + 12 q^{67} + 60 q^{68} - 196 q^{70} - 52 q^{71} + 30 q^{72} - 10 q^{73} - 120 q^{74} - 84 q^{78} + 40 q^{79} - 56 q^{80} - 28 q^{81} + 110 q^{83} - 30 q^{84} - 40 q^{85} + 18 q^{86} - 96 q^{89} - 44 q^{91} + 80 q^{92} + 24 q^{93} - 20 q^{94} + 100 q^{96} + 18 q^{97} + 6 q^{99}+O(q^{100}) $ 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9 - 14 * q^11 + 10 * q^13 + 12 * q^14 + 4 * q^15 - 48 * q^16 - 2 * q^20 + 32 * q^22 + 30 * q^24 - 46 * q^26 + 28 * q^27 - 20 * q^29 - 24 * q^31 - 16 * q^33 - 16 * q^34 - 20 * q^35 + 12 * q^37 + 10 * q^39 - 40 * q^40 - 10 * q^41 + 28 * q^42 + 24 * q^44 - 4 * q^45 - 20 * q^46 - 62 * q^47 - 92 * q^48 - 90 * q^50 + 110 * q^52 + 68 * q^53 + 32 * q^55 - 30 * q^57 - 56 * q^58 + 16 * q^59 + 2 * q^60 + 20 * q^61 + 8 * q^66 + 12 * q^67 + 60 * q^68 - 196 * q^70 - 52 * q^71 + 30 * q^72 - 10 * q^73 - 120 * q^74 - 84 * q^78 + 40 * q^79 - 56 * q^80 - 28 * q^81 + 110 * q^83 - 30 * q^84 - 40 * q^85 + 18 * q^86 - 96 * q^89 - 44 * q^91 + 80 * q^92 + 24 * q^93 - 20 * q^94 + 100 * q^96 + 18 * q^97 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	1.48140	−	0.234631i	1.04751	−	0.165909i	0.391127	−	0.920337i	$-0.372085\pi$
$2$	1.48140	−	0.234631i	1.04751	−	0.165909i	0.656383	+	0.754428i	$0.272085\pi$
$3$	−0.309017	+	0.951057i	−0.178411	+	0.549093i
$3$	−0.309017	+	0.951057i	−0.178411	+	0.549093i
$4$	0.237388	−	0.0771321i	0.118694	−	0.0385661i
$5$	3.64808	+	0.577798i	1.63147	+	0.258399i	0.903934	−	0.427671i	$-0.140666\pi$
$5$	3.64808	+	0.577798i	1.63147	+	0.258399i	0.727535	+	0.686071i	$0.240666\pi$
$6$	−0.234631	+	1.48140i	−0.0957877	+	0.604780i
$7$	1.93361	−	3.79492i	0.730836	−	1.43435i	−0.163312	−	0.986574i	$-0.552218\pi$
$7$	1.93361	−	3.79492i	0.730836	−	1.43435i	0.894148	−	0.447771i	$-0.147782\pi$
$8$	−2.33921	+	1.19189i	−0.827037	+	0.421397i
$9$	−0.809017	−	0.587785i	−0.269672	−	0.195928i
$10$	5.53984			1.75185
$11$	1.01187	−	3.15850i	0.305091	−	0.952323i
$11$	1.01187	−	3.15850i	0.305091	−	0.952323i
$12$			0.249605i			0.0720547i
$13$	−0.517609	+	3.56820i	−0.143559	+	0.989642i
$13$	−0.517609	+	3.56820i	−0.143559	+	0.989642i
$14$	1.97405	−	6.07549i	0.527586	−	1.62374i
$15$	−1.67684	+	3.29098i	−0.432957	+	0.849727i
$16$	−3.58953	+	2.60795i	−0.897383	+	0.651987i
$17$	−0.898035	+	0.652461i	−0.217805	+	0.158245i	−0.691338	−	0.722531i	$-0.742979\pi$
$17$	−0.898035	+	0.652461i	−0.217805	+	0.158245i	0.473533	+	0.880776i	$0.342979\pi$
$18$	−1.33639	−	0.680926i	−0.314991	−	0.160496i
$19$	1.85861	+	3.64772i	0.426394	+	0.836845i	0.999845	+	0.0176051i	$0.00560416\pi$
$19$	1.85861	+	3.64772i	0.426394	+	0.836845i	−0.573451	+	0.819240i	$0.694396\pi$
$20$	0.910577	−	0.144221i	0.203611	−	0.0322489i
$21$	3.01167	+	3.01167i	0.657200	+	0.657200i
$22$	0.757909	−	4.91642i	0.161587	−	1.04819i
$23$			0.714093i			0.148899i	0.997225	+	0.0744493i	$0.0237199\pi$
$23$			0.714093i			0.148899i	−0.997225	+	0.0744493i	$0.976280\pi$
$24$	−0.410697	−	2.59304i	−0.0838332	−	0.529302i
$25$	8.21933	+	2.67062i	1.64387	+	0.534124i
$26$	0.0704247	+	5.40739i	0.0138114	+	1.06048i
$27$	0.809017	−	0.587785i	0.155695	−	0.113119i
$28$	0.166306	−	1.05001i	0.0314288	−	0.198434i
$29$	−5.73001	+	1.86179i	−1.06404	+	0.345726i	−0.788162	−	0.615468i	$-0.788967\pi$
$29$	−5.73001	+	1.86179i	−1.06404	+	0.345726i	−0.275874	+	0.961194i	$0.588967\pi$
$30$	−1.71190	+	5.26870i	−0.312550	+	0.961928i
$31$	−0.218181	−	1.37754i	−0.0391865	−	0.247414i	0.960317	−	0.278909i	$-0.0899729\pi$
$31$	−0.218181	−	1.37754i	−0.0391865	−	0.247414i	−0.999504	+	0.0314958i	$0.989973\pi$
$32$	−0.992815	+	0.992815i	−0.175506	+	0.175506i
$33$	2.69122	+	1.93838i	0.468482	+	0.337428i
$34$	−1.17726	+	1.17726i	−0.201899	+	0.201899i
$35$	9.24665	−	12.7269i	1.56297	−	2.15124i
$36$	−0.237388	−	0.0771321i	−0.0395647	−	0.0128554i
$37$	−10.7133	−	5.45868i	−1.76125	−	0.897401i	−0.949727	−	0.313079i	$-0.898640\pi$
$37$	−10.7133	−	5.45868i	−1.76125	−	0.897401i	−0.811522	−	0.584322i	$-0.801360\pi$
$38$	3.60921	+	4.96766i	0.585492	+	0.805860i
$39$	−3.23361	−	1.59491i	−0.517793	−	0.255390i
$40$	−9.22231	+	2.99651i	−1.45817	+	0.473790i
$41$	−1.28764	−	2.52714i	−0.201096	−	0.394673i	0.768331	−	0.640053i	$-0.221087\pi$
$41$	−1.28764	−	2.52714i	−0.201096	−	0.394673i	−0.969427	+	0.245379i	$0.921087\pi$
$42$	5.16812	+	3.75486i	0.797459	+	0.579388i
$43$	2.11835			0.323045			0.161523	−	0.986869i	$-0.448360\pi$
$43$	2.11835			0.323045			0.161523	+	0.986869i	$0.448360\pi$
$44$	−0.00341490	−	0.827839i	−0.000514815	−	0.124801i
$45$	−2.61173	−	2.61173i	−0.389334	−	0.389334i
$46$	0.167548	+	1.05786i	0.0247037	+	0.155973i
$47$	1.62187	+	3.18309i	0.236573	+	0.464302i	0.978518	−	0.206159i	$-0.0660965\pi$
$47$	1.62187	+	3.18309i	0.236573	+	0.464302i	−0.741945	+	0.670461i	$0.766096\pi$
$48$	−1.37108	−	4.21975i	−0.197898	−	0.609068i
$49$	−6.54809	−	9.01268i	−0.935442	−	1.28753i
$50$	12.8027	+	2.02775i	1.81058	+	0.286768i
$51$	−0.343019	−	1.05570i	−0.0480322	−	0.147828i
$52$	0.152349	+	0.886974i	0.0211270	+	0.123001i
$53$	−0.608525	−	0.442119i	−0.0835873	−	0.0607298i	0.545207	−	0.838302i	$-0.316451\pi$
$53$	−0.608525	−	0.442119i	−0.0835873	−	0.0607298i	−0.628794	+	0.777572i	$0.716451\pi$
$54$	1.06057	−	1.06057i	0.144325	−	0.144325i
$55$	5.51637	−	10.9378i	0.743827	−	1.47485i
$56$			11.1818i			1.49423i
$57$	−4.04353	+	0.640432i	−0.535579	+	0.0848273i
$58$	−8.05162	+	4.10250i	−1.05723	+	0.538685i
$59$	−0.241537	−	0.123069i	−0.0314454	−	0.0160223i	0.438197	−	0.898879i	$-0.355617\pi$
$59$	−0.241537	−	0.123069i	−0.0314454	−	0.0160223i	−0.469643	+	0.882857i	$0.655617\pi$
$60$	−0.144221	+	0.910577i	−0.0186189	+	0.117555i
$61$	7.93552	+	10.9223i	1.01604	+	1.39846i	0.914944	+	0.403582i	$0.132235\pi$
$61$	7.93552	+	10.9223i	1.01604	+	1.39846i	0.101096	+	0.994877i	$0.467765\pi$
$62$	−0.646428	−	1.98950i	−0.0820964	−	0.252667i
$63$	−3.79492	+	1.93361i	−0.478115	+	0.243612i
$64$	3.97808	−	5.47536i	0.497261	−	0.684420i
$65$	−3.94998	+	12.7180i	−0.489935	+	1.57747i
$66$	4.44159	+	2.24007i	0.546722	+	0.275734i
$67$	−9.85551	−	9.85551i	−1.20404	−	1.20404i	−0.972926	−	0.231117i	$-0.925762\pi$
$67$	−9.85551	−	9.85551i	−1.20404	−	1.20404i	−0.231117	−	0.972926i	$-0.574238\pi$
$68$	−0.162857	+	0.224154i	−0.0197493	+	0.0271826i
$69$	−0.679143	−	0.220667i	−0.0817592	−	0.0265652i
$70$	10.7119	−	21.0233i	1.28031	−	2.51276i
$71$	−15.7204	−	2.48986i	−1.86566	−	0.295492i	−0.881424	−	0.472326i	$-0.843415\pi$
$71$	−15.7204	−	2.48986i	−1.86566	−	0.295492i	−0.984241	+	0.176833i	$0.943415\pi$
$72$	2.59304	+	0.410697i	0.305593	+	0.0484011i
$73$	1.49434	−	2.93281i	0.174899	−	0.343260i	−0.786870	−	0.617118i	$-0.788300\pi$
$73$	1.49434	−	2.93281i	0.174899	−	0.343260i	0.961770	+	0.273859i	$0.0883000\pi$
$74$	−17.1514	−	5.57284i	−1.99381	−	0.647829i
$75$	−5.07982	+	6.99178i	−0.586567	+	0.807341i
$76$	0.722568	+	0.722568i	0.0828842	+	0.0828842i
$77$	−10.0297	−	9.94728i	−1.14299	−	1.13360i
$78$	−5.16450	−	1.60400i	−0.584764	−	0.181617i
$79$	5.16086	−	7.10331i	0.580642	−	0.799185i	−0.413124	−	0.910675i	$-0.635562\pi$
$79$	5.16086	−	7.10331i	0.580642	−	0.799185i	0.993766	+	0.111490i	$0.0355622\pi$
$80$	−14.6018	+	7.43997i	−1.63253	+	0.831814i
$81$	0.309017	+	0.951057i	0.0343352	+	0.105673i
$82$	−2.50046	−	3.44159i	−0.276130	−	0.380060i
$83$	−2.35375	+	14.8610i	−0.258358	+	1.63121i	0.427883	+	0.903834i	$0.359259\pi$
$83$	−2.35375	+	14.8610i	−0.258358	+	1.63121i	−0.686241	+	0.727374i	$0.740741\pi$
$84$	0.947231	+	0.482638i	0.103351	+	0.0526602i
$85$	−3.65309	+	1.86134i	−0.396233	+	0.201891i
$86$	3.13813	−	0.497031i	0.338393	−	0.0535962i
$87$		−	6.02489i		−	0.645936i
$88$	1.39759	+	8.59445i	0.148984	+	0.916171i
$89$	−3.12353	+	3.12353i	−0.331093	+	0.331093i	−0.853002	−	0.521908i	$-0.825220\pi$
$89$	−3.12353	+	3.12353i	−0.331093	+	0.331093i	0.521908	+	0.853002i	$0.325220\pi$
$90$	−4.48182	−	3.25624i	−0.472426	−	0.343237i
$91$	12.5402	+	8.86380i	1.31457	+	0.929179i
$92$	0.0550795	+	0.169517i	0.00574243	+	0.0176734i
$93$	1.37754	+	0.218181i	0.142844	+	0.0226243i
$94$	3.14949	+	4.33490i	0.324845	+	0.447111i
$95$	4.67269	+	14.3811i	0.479408	+	1.47547i
$96$	−0.637426	−	1.25102i	−0.0650570	−	0.127682i
$97$	−1.54485	−	9.75377i	−0.156855	−	0.990346i	−0.933022	−	0.359818i	$-0.882839\pi$
$97$	−1.54485	−	9.75377i	−0.156855	−	0.990346i	0.776167	−	0.630527i	$-0.217161\pi$
$98$	−11.8150	−	11.8150i	−1.19350	−	1.19350i
$99$	−2.67514	+	1.96051i	−0.268862	+	0.197039i
$100$	2.15716			0.215716
$101$	0.831849	+	0.604373i	0.0827720	+	0.0601374i	0.628402	−	0.777889i	$-0.283709\pi$
$101$	0.831849	+	0.604373i	0.0827720	+	0.0601374i	−0.545630	+	0.838026i	$0.683709\pi$
$102$	−0.755850	−	1.48344i	−0.0748403	−	0.146882i
$103$	−0.695892	+	0.226109i	−0.0685683	+	0.0222792i	−0.343100	−	0.939299i	$-0.611477\pi$
$103$	−0.695892	+	0.226109i	−0.0685683	+	0.0222792i	0.274532	+	0.961578i	$0.411477\pi$
$104$	−3.04211	−	8.96373i	−0.298303	−	0.878966i
$105$	9.24665	+	12.7269i	0.902381	+	1.24202i
$106$	−1.00521	−	0.512178i	−0.0976342	−	0.0497471i
$107$	12.0427	+	3.91291i	1.16421	+	0.378275i	0.826479	−	0.562967i	$-0.190340\pi$
$107$	12.0427	+	3.91291i	1.16421	+	0.378275i	0.337732	+	0.941242i	$0.390340\pi$
$108$	0.146714	−	0.201935i	0.0141176	−	0.0194312i
$109$	−4.97140	+	4.97140i	−0.476174	+	0.476174i	−0.903906	−	0.427732i	$-0.859313\pi$
$109$	−4.97140	+	4.97140i	−0.476174	+	0.476174i	0.427732	+	0.903906i	$0.359313\pi$
$110$	5.60561	−	17.4976i	0.534474	−	1.66833i
$111$	8.50209	−	8.50209i	0.806983	−	0.806983i
$112$	2.95621	+	18.6648i	0.279335	+	1.76365i
$113$	2.78962	−	8.58557i	0.262426	−	0.807663i	−0.729850	−	0.683608i	$-0.760410\pi$
$113$	2.78962	−	8.58557i	0.262426	−	0.807663i	0.992275	−	0.124055i	$-0.0395900\pi$
$114$	−5.83983	+	1.89748i	−0.546950	+	0.177715i
$115$	−0.412602	+	2.60506i	−0.0384753	+	0.242924i
$116$	−1.21663	+	0.883936i	−0.112962	+	0.0820714i
$117$	2.51609	−	2.58250i	0.232613	−	0.238752i
$118$	−0.386689	−	0.125643i	−0.0355977	−	0.0115664i
$119$	0.739588	+	4.66958i	0.0677979	+	0.428059i
$120$		−	9.69691i		−	0.885202i
$121$	−8.95223	−	6.39200i	−0.813839	−	0.581091i
$122$	14.3184	+	14.3184i	1.29633	+	1.29633i
$123$	2.80136	−	0.443692i	0.252590	−	0.0400063i
$124$	−0.158046	−	0.310183i	−0.0141930	−	0.0278553i
$125$	11.9868	+	6.10756i	1.07213	+	0.546277i
$126$	−5.16812	+	3.75486i	−0.460413	+	0.334510i
$127$	15.3741	−	11.1700i	1.36423	−	0.991174i	0.366070	−	0.930587i	$-0.380703\pi$
$127$	15.3741	−	11.1700i	1.36423	−	0.991174i	0.998163	−	0.0605864i	$-0.0192971\pi$
$128$	5.88331	−	11.5466i	0.520016	−	1.02059i
$129$	−0.654606	+	2.01467i	−0.0576348	+	0.177382i
$130$	−2.86747	+	19.7673i	−0.251494	+	1.73370i
$131$			5.39936i			0.471744i	0.971784	+	0.235872i	$0.0757947\pi$
$131$			5.39936i			0.471744i	−0.971784	+	0.235872i	$0.924205\pi$
$132$	0.788377	+	0.252568i	0.0686194	+	0.0219833i
$133$	17.4366			1.51195
$134$	−16.9124	−	12.2876i	−1.46101	−	1.06148i
$135$	3.29098	−	1.67684i	0.283242	−	0.144319i
$136$	1.32304	−	2.59660i	0.113449	−	0.222657i
$137$	−2.30930	+	14.5804i	−0.197297	+	1.24569i	0.667899	+	0.744252i	$0.267194\pi$
$137$	−2.30930	+	14.5804i	−0.197297	+	1.24569i	−0.865196	+	0.501433i	$0.832806\pi$
$138$	−1.05786	−	0.167548i	−0.0900509	−	0.0142627i
$139$	17.3767	−	5.64603i	1.47387	−	0.478890i	0.541596	−	0.840639i	$-0.317820\pi$
$139$	17.3767	−	5.64603i	1.47387	−	0.478890i	0.932276	+	0.361749i	$0.117820\pi$
$140$	1.21339	−	3.73444i	0.102550	−	0.315618i
$141$	−3.52848	+	0.558857i	−0.297152	+	0.0470642i
$142$	−23.8724			−2.00333
$143$	10.7464	+	5.24544i	0.898660	+	0.438645i
$144$	4.43691			0.369742
$145$	−21.9793	+	3.48117i	−1.82528	+	0.289096i
$146$	1.52559	−	4.69529i	0.126259	−	0.388585i
$147$	10.5950	−	3.44254i	0.873864	−	0.283936i
$148$	−2.96424	−	0.469490i	−0.243659	−	0.0385918i
$149$	−0.619459	+	3.91111i	−0.0507480	+	0.320410i	0.949235	+	0.314568i	$0.101860\pi$
$149$	−0.619459	+	3.91111i	−0.0507480	+	0.320410i	−0.999983	+	0.00584231i	$0.998140\pi$
$150$	−5.88477	+	11.5495i	−0.480490	+	0.943014i
$151$	12.3298	−	6.28235i	1.00338	−	0.511250i	0.126508	−	0.991966i	$-0.459623\pi$
$151$	12.3298	−	6.28235i	1.00338	−	0.511250i	0.876877	+	0.480716i	$0.159623\pi$
$152$	−8.69536	−	6.31755i	−0.705287	−	0.512421i
$153$	1.11003			0.0897408
$154$	−17.1919	−	12.3827i	−1.38537	−	0.997822i
$155$		−	5.15144i		−	0.413773i
$156$	−0.890641	−	0.129198i	−0.0713084	−	0.0103441i
$157$	−3.02411	+	9.30726i	−0.241350	+	0.742800i	0.754865	+	0.655880i	$0.227702\pi$
$157$	−3.02411	+	9.30726i	−0.241350	+	0.742800i	−0.996215	+	0.0869200i	$0.972298\pi$
$158$	5.97865	−	11.7338i	0.475636	−	0.933488i
$159$	0.608525	−	0.442119i	0.0482592	−	0.0350623i
$160$	−4.19551	+	3.04822i	−0.331684	+	0.240983i
$161$	2.70993	+	1.38078i	0.213572	+	0.108820i
$162$	0.680926	+	1.33639i	0.0534986	+	0.104997i
$163$	−12.2828	+	1.94541i	−0.962066	+	0.152376i	−0.617661	−	0.786445i	$-0.711920\pi$
$163$	−12.2828	+	1.94541i	−0.962066	+	0.152376i	−0.344406	+	0.938821i	$0.611920\pi$
$164$	−0.500595	−	0.500595i	−0.0390899	−	0.0390899i
$165$	8.69780	+	8.62634i	0.677123	+	0.671559i
$166$			22.5674i			1.75157i
$167$	1.60497	+	10.1334i	0.124196	+	0.784143i	0.968634	+	0.248490i	$0.0799344\pi$
$167$	1.60497	+	10.1334i	0.124196	+	0.784143i	−0.844438	+	0.535653i	$0.820066\pi$
$168$	−10.6345	−	3.45536i	−0.820470	−	0.266587i
$169$	−12.4642	−	3.69387i	−0.958782	−	0.284144i
$170$	−4.97497	+	3.61453i	−0.381563	+	0.277221i
$171$	0.640432	−	4.04353i	0.0489751	−	0.309216i
$172$	0.502871	−	0.163393i	0.0383436	−	0.0124586i
$173$	0.0832512	−	0.256221i	0.00632947	−	0.0194801i	−0.947842	−	0.318741i	$-0.896740\pi$
$173$	0.0832512	−	0.256221i	0.00632947	−	0.0194801i	0.954171	+	0.299261i	$0.0967400\pi$
$174$	−1.41363	−	8.92529i	−0.107167	−	0.676624i
$175$	26.0278	−	26.0278i	1.96751	−	1.96751i
$176$	4.60505	+	13.9764i	0.347119	+	1.05351i
$177$	0.191685	−	0.191685i	0.0144079	−	0.0144079i
$178$	−3.89432	+	5.36008i	−0.291892	+	0.401755i
$179$	17.4649	+	5.67468i	1.30539	+	0.424146i	0.877452	−	0.479664i	$-0.159241\pi$
$179$	17.4649	+	5.67468i	1.30539	+	0.424146i	0.427934	+	0.903810i	$0.359241\pi$
$180$	−0.821444	−	0.418547i	−0.0612268	−	0.0311966i
$181$	−0.450328	−	0.619824i	−0.0334727	−	0.0460712i	0.791953	−	0.610583i	$-0.209065\pi$
$181$	−0.450328	−	0.619824i	−0.0334727	−	0.0460712i	−0.825425	+	0.564511i	$0.809065\pi$
$182$	20.6568	+	10.1885i	1.53118	+	0.755224i
$183$	−12.8399	+	4.17195i	−0.949156	+	0.308399i
$184$	−0.851120	−	1.67042i	−0.0627454	−	0.123145i
$185$	−35.9288	−	26.1038i	−2.64154	−	1.91919i
$186$	2.09188			0.153384
$187$	1.15210	+	3.49665i	0.0842498	+	0.255700i
$188$	0.630531	+	0.630531i	0.0459862	+	0.0459862i
$189$	−0.666276	−	4.20670i	−0.0484645	−	0.305993i
$190$	10.2964	+	20.2078i	0.746978	+	1.46603i
$191$	−1.27052	−	3.91027i	−0.0919318	−	0.282937i	0.894510	−	0.447048i	$-0.147525\pi$
$191$	−1.27052	−	3.91027i	−0.0919318	−	0.282937i	−0.986442	+	0.164111i	$0.947525\pi$
$192$	3.97808	+	5.47536i	0.287094	+	0.395150i
$193$	−10.6939	−	1.69375i	−0.769764	−	0.121919i	−0.240814	−	0.970571i	$-0.577414\pi$
$193$	−10.6939	−	1.69375i	−0.769764	−	0.121919i	−0.528950	+	0.848653i	$0.677414\pi$
$194$	−4.57708	−	14.0868i	−0.328615	−	1.01137i
$195$	−10.8749	−	7.68673i	−0.778770	−	0.550458i
$196$	−2.24961	−	1.63444i	−0.160686	−	0.116745i
$197$	−0.488619	+	0.488619i	−0.0348127	+	0.0348127i	−0.724299	−	0.689486i	$-0.757836\pi$
$197$	−0.488619	+	0.488619i	−0.0348127	+	0.0348127i	0.689486	+	0.724299i	$0.257836\pi$
$198$	−3.50296	+	3.53198i	−0.248945	+	0.251007i
$199$			1.96839i			0.139535i	0.997563	+	0.0697676i	$0.0222258\pi$
$199$			1.96839i			0.139535i	−0.997563	+	0.0697676i	$0.977774\pi$
$200$	−22.4099	+	3.54937i	−1.58462	+	0.250979i
$201$	12.4187	−	6.32763i	0.875946	−	0.446317i
$202$	1.37411	+	0.700143i	0.0966819	+	0.0492619i
$203$	−4.01424	+	25.3449i	−0.281745	+	1.77886i
$204$	−0.162857	−	0.224154i	−0.0114023	−	0.0156939i
$205$	−3.23724	−	9.96321i	−0.226099	−	0.695861i
$206$	−0.977844	+	0.498236i	−0.0681296	+	0.0347138i
$207$	0.419733	−	0.577713i	0.0291735	−	0.0401538i
$208$	−7.44772	−	14.1581i	−0.516406	−	0.981687i
$209$	13.4020	−	2.17938i	0.927036	−	0.150751i
$210$	16.6841	+	16.6841i	1.15132	+	1.15132i
$211$	−4.16601	+	5.73402i	−0.286800	+	0.394747i	−0.927971	−	0.372651i	$-0.878449\pi$
$211$	−4.16601	+	5.73402i	−0.286800	+	0.394747i	0.641171	+	0.767398i	$0.278449\pi$
$212$	−0.178558	−	0.0580171i	−0.0122634	−	0.00398463i
$213$	7.22586	−	14.1816i	0.495108	−	0.971704i
$214$	18.7582	+	2.97100i	1.28228	+	0.203093i
$215$	7.72790	+	1.22398i	0.527038	+	0.0834747i
$216$	−1.19189	+	2.33921i	−0.0810978	+	0.159163i
$217$	−5.64953	−	1.83565i	−0.383515	−	0.124612i
$218$	−6.19820	+	8.53109i	−0.419795	+	0.577798i
$219$	2.32749	+	2.32749i	0.157277	+	0.157277i
$220$	0.465866	−	3.02199i	0.0314087	−	0.203743i
$221$	−1.86328	−	3.54209i	−0.125338	−	0.238267i
$222$	10.6002	−	14.5899i	0.711436	−	0.979208i
$223$	7.12717	−	3.63148i	0.477271	−	0.243182i	−0.198769	−	0.980046i	$-0.563695\pi$
$223$	7.12717	−	3.63148i	0.477271	−	0.243182i	0.676040	+	0.736865i	$0.263695\pi$
$224$	1.84794	+	5.68737i	0.123471	+	0.380003i
$225$	−5.07982	−	6.99178i	−0.338655	−	0.466118i
$226$	2.11811	−	13.3732i	0.140895	−	0.889573i
$227$	8.00293	+	4.07770i	0.531173	+	0.270646i	0.698940	−	0.715181i	$-0.253656\pi$
$227$	8.00293	+	4.07770i	0.531173	+	0.270646i	−0.167767	+	0.985827i	$0.553656\pi$
$228$	−0.910489	+	0.463917i	−0.0602986	+	0.0307237i
$229$	23.6413	−	3.74442i	1.56226	−	0.247438i	0.685395	−	0.728171i	$-0.259629\pi$
$229$	23.6413	−	3.74442i	1.56226	−	0.247438i	0.876867	+	0.480733i	$0.159629\pi$
$230$			3.95596i			0.260848i
$231$	12.5598	−	6.46492i	0.826372	−	0.425361i
$232$	11.1847	−	11.1847i	0.734310	−	0.734310i
$233$	10.9467	+	7.95328i	0.717145	+	0.521036i	0.885471	−	0.464695i	$-0.153836\pi$
$233$	10.9467	+	7.95328i	0.717145	+	0.521036i	−0.168326	+	0.985731i	$0.553836\pi$
$234$	3.12141	−	4.41607i	0.204053	−	0.288687i
$235$	4.07751	+	12.5493i	0.265987	+	0.818624i
$236$	−0.0668307	−	0.0105849i	−0.00435031	−	0.000689021i
$237$	5.16086	+	7.10331i	0.335234	+	0.461410i
$238$	2.19126	+	6.74399i	0.142038	+	0.437148i
$239$	−4.08163	−	8.01065i	−0.264019	−	0.518166i	0.720498	−	0.693457i	$-0.243913\pi$
$239$	−4.08163	−	8.01065i	−0.264019	−	0.518166i	−0.984517	+	0.175291i	$0.943913\pi$
$240$	−2.56364	−	16.1862i	−0.165482	−	1.04481i
$241$	−10.3989	−	10.3989i	−0.669850	−	0.669850i	0.287831	−	0.957681i	$-0.407066\pi$
$241$	−10.3989	−	10.3989i	−0.669850	−	0.669850i	−0.957681	+	0.287831i	$0.907066\pi$
$242$	−14.7616	−	7.36865i	−0.948912	−	0.473675i
$243$	−1.00000			−0.0641500
$244$	2.72626	+	1.98074i	0.174531	+	0.126804i
$245$	−18.6804	−	36.6624i	−1.19345	−	2.34228i
$246$	4.04584	−	1.31457i	0.257953	−	0.0838140i
$247$	−13.9778	+	4.74380i	−0.889389	+	0.301841i
$248$	2.15225	+	2.96232i	0.136668	+	0.188107i
$249$	−13.4063	−	6.83086i	−0.849591	−	0.432888i
$250$	19.1902	+	6.23529i	1.21370	+	0.394354i
$251$	−8.99202	+	12.3765i	−0.567571	+	0.781195i	−0.992264	−	0.124142i	$-0.960382\pi$
$251$	−8.99202	+	12.3765i	−0.567571	+	0.781195i	0.424693	+	0.905337i	$0.360382\pi$
$252$	−0.751727	+	0.751727i	−0.0473543	+	0.0473543i
$253$	2.25546	+	0.722571i	0.141800	+	0.0454277i
$254$	20.1545	−	20.1545i	1.26460	−	1.26460i
$255$	−0.641375	−	4.04948i	−0.0401645	−	0.253588i
$256$	1.82354	−	5.61227i	0.113971	−	0.350767i
$257$	−10.4717	+	3.40246i	−0.653206	+	0.212239i	−0.616827	−	0.787099i	$-0.711582\pi$
$257$	−10.4717	+	3.40246i	−0.653206	+	0.212239i	−0.0363788	+	0.999338i	$0.511582\pi$
$258$	−0.497031	+	3.13813i	−0.0309438	+	0.195371i
$259$	−41.4305	+	30.1010i	−2.57437	+	1.87039i
$260$	0.0432881	+	3.32378i	0.00268462	+	0.206132i
$261$	5.73001	+	1.86179i	0.354679	+	0.115242i
$262$	1.26686	+	7.99863i	0.0782668	+	0.494157i
$263$			11.4241i			0.704442i	0.935917	+	0.352221i	$0.114573\pi$
$263$			11.4241i			0.704442i	−0.935917	+	0.352221i	$0.885427\pi$
$264$	−8.60569	−	1.32664i	−0.529643	−	0.0816491i
$265$	−1.96449	−	1.96449i	−0.120678	−	0.120678i
$266$	25.8307	−	4.09118i	1.58378	−	0.250846i
$267$	−2.00543	−	3.93587i	−0.122730	−	0.240872i
$268$	−3.09976	−	1.57941i	−0.189348	−	0.0964776i
$269$	−5.46088	+	3.96756i	−0.332956	+	0.241906i	−0.741684	−	0.670750i	$-0.765972\pi$
$269$	−5.46088	+	3.96756i	−0.332956	+	0.241906i	0.408728	+	0.912656i	$0.365972\pi$
$270$	4.48182	−	3.25624i	0.272755	−	0.198168i
$271$	7.21643	−	14.1630i	0.438367	−	0.860344i	−0.561102	−	0.827747i	$-0.689622\pi$
$271$	7.21643	−	14.1630i	0.438367	−	0.860344i	0.999469	−	0.0325968i	$-0.0103777\pi$
$272$	1.52194	−	4.68406i	0.0922813	−	0.284013i
$273$	−12.3051	+	9.18738i	−0.744739	+	0.556045i
$274$			22.1412i			1.33760i
$275$	16.7521	−	23.2584i	1.01019	−	1.40253i
$276$	−0.178241			−0.0107288
$277$	25.5780	+	18.5835i	1.53684	+	1.11658i	0.952281	+	0.305222i	$0.0987305\pi$
$277$	25.5780	+	18.5835i	1.53684	+	1.11658i	0.584554	+	0.811355i	$0.301269\pi$
$278$	24.4171	−	12.4412i	1.46444	−	0.746171i
$279$	−0.633186	+	1.24270i	−0.0379078	+	0.0743983i
$280$	−6.46082	+	40.7920i	−0.386108	+	2.43779i
$281$	15.2933	+	2.42222i	0.912323	+	0.144498i	0.594913	−	0.803790i	$-0.297187\pi$
$281$	15.2933	+	2.42222i	0.912323	+	0.144498i	0.317411	+	0.948288i	$0.397187\pi$
$282$	−5.09598	+	1.65578i	−0.303461	+	0.0986005i
$283$	2.90559	−	8.94249i	0.172719	−	0.531576i	−0.826803	−	0.562492i	$-0.809843\pi$
$283$	2.90559	−	8.94249i	0.172719	−	0.531576i	0.999522	+	0.0309166i	$0.00984262\pi$
$284$	−3.92388	+	0.621482i	−0.232839	+	0.0368782i
$285$	−15.1211			−0.895699
$286$	17.1505	+	5.24916i	1.01413	+	0.310389i
$287$	−12.0801			−0.713066
$288$	1.38677	−	0.219642i	0.0817159	−	0.0129425i
$289$	−4.87253	+	14.9961i	−0.286619	+	0.882123i
$290$	−31.7433	+	10.3140i	−1.86403	+	0.605661i
$291$	9.75377	+	1.54485i	0.571776	+	0.0905605i
$292$	0.128525	−	0.811477i	0.00752137	−	0.0474881i
$293$	1.22763	−	2.40936i	0.0717189	−	0.140756i	−0.852363	−	0.522950i	$-0.824831\pi$
$293$	1.22763	−	2.40936i	0.0717189	−	0.140756i	0.924082	+	0.382194i	$0.124831\pi$
$294$	14.8878	−	7.58571i	0.868273	−	0.442407i
$295$	−0.810036	−	0.588526i	−0.0471621	−	0.0342653i
$296$	31.5668			1.83478
$297$	−1.03790	−	3.15004i	−0.0602249	−	0.182784i
$298$			5.93927i			0.344053i
$299$	−2.54803	−	0.369621i	−0.147356	−	0.0213757i
$300$	−0.666600	+	2.05158i	−0.0384862	+	0.118448i
$301$	4.09606	−	8.03897i	0.236093	−	0.463359i
$302$	16.7914	−	12.1996i	0.966234	−	0.702010i
$303$	−0.831849	+	0.604373i	−0.0477885	+	0.0347203i
$304$	−16.1846	−	8.24647i	−0.928251	−	0.472967i
$305$	22.6385	+	44.4305i	1.29628	+	2.54409i
$306$	1.64440	−	0.260448i	0.0940043	−	0.0148888i
$307$	−10.7482	−	10.7482i	−0.613433	−	0.613433i	0.330406	−	0.943839i	$-0.392814\pi$
$307$	−10.7482	−	10.7482i	−0.613433	−	0.613433i	−0.943839	+	0.330406i	$0.892814\pi$
$308$	−3.14819	−	1.58776i	−0.179385	−	0.0904709i
$309$		−	0.731704i		−	0.0416252i
$310$	−1.20869	−	7.63135i	−0.0686488	−	0.433432i
$311$	24.0228	+	7.80548i	1.36221	+	0.442608i	0.896780	−	0.442477i	$-0.145900\pi$
$311$	24.0228	+	7.80548i	1.36221	+	0.442608i	0.465428	+	0.885086i	$0.345900\pi$
$312$	9.46508	−	0.123271i	0.535854	−	0.00697885i
$313$	9.96511	−	7.24007i	0.563261	−	0.409233i	−0.269390	−	0.963031i	$-0.586822\pi$
$313$	9.96511	−	7.24007i	0.563261	−	0.409233i	0.832651	+	0.553798i	$0.186822\pi$
$314$	−2.29615	+	14.4974i	−0.129580	+	0.818133i
$315$	−14.9614	+	4.86125i	−0.842979	+	0.273901i
$316$	0.677234	−	2.08431i	0.0380974	−	0.117252i
$317$	3.07276	+	19.4006i	0.172583	+	1.08965i	0.910121	+	0.414342i	$0.135988\pi$
$317$	3.07276	+	19.4006i	0.172583	+	1.08965i	−0.737538	+	0.675306i	$0.764012\pi$
$318$	0.797735	−	0.797735i	0.0447348	−	0.0447348i
$319$	0.0824278	+	19.9821i	0.00461507	+	1.11878i
$320$	17.6760	−	17.6760i	0.988119	−	0.988119i
$321$	−7.44279	+	10.2441i	−0.415416	+	0.571771i
$322$	4.33846	+	1.40965i	0.241773	+	0.0785569i
$323$	−4.04909	−	2.06311i	−0.225297	−	0.114795i
$324$	0.146714	+	0.201935i	0.00815078	+	0.0112186i
$325$	−13.7837	+	27.9459i	−0.764583	+	1.55016i
$326$	−17.7394	+	5.76387i	−0.982493	+	0.319231i
$327$	−3.19183	−	6.26433i	−0.176509	−	0.346418i
$328$	6.02415	+	4.37680i	0.332628	+	0.241668i
$329$	15.2156			0.838865
$330$	14.9089	+	10.7383i	0.820711	+	0.591124i
$331$	12.1564	+	12.1564i	0.668178	+	0.668178i	0.957294	−	0.289116i	$-0.0933614\pi$
$331$	12.1564	+	12.1564i	0.668178	+	0.668178i	−0.289116	+	0.957294i	$0.593361\pi$
$332$	0.587508	+	3.70938i	0.0322437	+	0.203579i
$333$	5.45868	+	10.7133i	0.299134	+	0.587083i
$334$	4.75520	+	14.6350i	0.260193	+	0.800792i
$335$	−30.2592	−	41.6482i	−1.65323	−	2.27548i
$336$	−18.6648	−	2.95621i	−1.01825	−	0.161274i
$337$	5.58954	+	17.2028i	0.304481	+	0.937097i	0.979870	+	0.199636i	$0.0639758\pi$
$337$	5.58954	+	17.2028i	0.304481	+	0.937097i	−0.675389	+	0.737462i	$0.736024\pi$
$338$	−19.3311	−	2.54762i	−1.05148	−	0.138573i
$339$	7.30332	+	5.30618i	0.396662	+	0.288192i
$340$	−0.723632	+	0.723632i	−0.0392444	+	0.0392444i
$341$	−4.57173	−	0.704772i	−0.247573	−	0.0381655i
$342$		−	6.14036i		−	0.332033i
$343$	−17.4169	+	2.75857i	−0.940426	+	0.148949i
$344$	−4.95527	+	2.52484i	−0.267171	+	0.136130i
$345$	−2.35006	−	1.19742i	−0.126523	−	0.0644668i
$346$	0.0632111	−	0.399099i	0.00339825	−	0.0214557i
$347$	−16.4977	−	22.7071i	−0.885641	−	1.21898i	−0.974826	−	0.222966i	$-0.928426\pi$
$347$	−16.4977	−	22.7071i	−0.885641	−	1.21898i	0.0891848	−	0.996015i	$-0.471574\pi$
$348$	−0.464713	−	1.43024i	−0.0249112	−	0.0766688i
$349$	−12.1553	+	6.19344i	−0.650658	+	0.331527i	−0.747975	−	0.663726i	$-0.768974\pi$
$349$	−12.1553	+	6.19344i	−0.650658	+	0.331527i	0.0973170	+	0.995253i	$0.468974\pi$
$350$	32.4507	−	44.6645i	1.73456	−	2.38742i
$351$	1.67858	+	3.19098i	0.0895962	+	0.170322i
$352$	2.13120	+	4.14041i	0.113593	+	0.220684i
$353$	−16.8020	−	16.8020i	−0.894280	−	0.894280i	0.100642	−	0.994923i	$-0.467910\pi$
$353$	−16.8020	−	16.8020i	−0.894280	−	0.894280i	−0.994923	+	0.100642i	$0.967910\pi$
$354$	0.238987	−	0.328938i	0.0127020	−	0.0174828i
$355$	−55.9105	−	18.1664i	−2.96742	−	0.964173i
$356$	−0.500564	+	0.982413i	−0.0265299	+	0.0520678i
$357$	−4.66958	−	0.739588i	−0.247140	−	0.0391432i
$358$	27.2040	+	4.30869i	1.43777	+	0.227721i
$359$	5.10398	−	10.0171i	0.269378	−	0.528684i	−0.716202	−	0.697893i	$-0.754121\pi$
$359$	5.10398	−	10.0171i	0.269378	−	0.528684i	0.985580	+	0.169209i	$0.0541212\pi$
$360$	9.22231	+	2.99651i	0.486058	+	0.157930i
$361$	1.31647	−	1.81196i	0.0692878	−	0.0953664i
$362$	−0.812548	−	0.812548i	−0.0427066	−	0.0427066i
$363$	8.84554	−	6.53884i	0.464271	−	0.343200i
$364$	3.66058	+	1.13691i	0.191867	+	0.0595902i
$365$	7.14605	−	9.83569i	0.374041	−	0.514823i
$366$	−18.0423	+	9.19299i	−0.943084	+	0.480525i
$367$	0.128550	+	0.395636i	0.00671026	+	0.0206520i	0.954356	−	0.298673i	$-0.0965439\pi$
$367$	0.128550	+	0.395636i	0.00671026	+	0.0206520i	−0.947645	+	0.319325i	$0.896544\pi$
$368$	−1.86232	−	2.56326i	−0.0970800	−	0.133619i
$369$	−0.443692	+	2.80136i	−0.0230977	+	0.145833i
$370$	−59.3497	−	30.2402i	−3.08544	−	1.57211i
$371$	−2.85446	+	1.45442i	−0.148196	+	0.0755097i
$372$	0.343841	−	0.0544590i	0.0178273	−	0.00282357i
$373$		−	18.0869i		−	0.936504i	−0.883595	−	0.468252i	$-0.844884\pi$
$373$		−	18.0869i		−	0.936504i	0.883595	−	0.468252i	$-0.155116\pi$
$374$	2.52714	+	4.90963i	0.130675	+	0.253871i
$375$	−9.51275	+	9.51275i	−0.491236	+	0.491236i
$376$	−7.58779	−	5.51285i	−0.391310	−	0.284304i
$377$	−3.67735	−	21.4095i	−0.189393	−	1.10265i
$378$	−1.97405	−	6.07549i	−0.101534	−	0.312490i
$379$	8.93056	+	1.41446i	0.458732	+	0.0726560i	0.381524	−	0.924359i	$-0.375399\pi$
$379$	8.93056	+	1.41446i	0.458732	+	0.0726560i	0.0772081	+	0.997015i	$0.475399\pi$
$380$	2.21848	+	3.05348i	0.113806	+	0.156640i
$381$	5.87239	+	18.0734i	0.300852	+	0.925927i
$382$	−2.79963	−	5.49457i	−0.143241	−	0.281127i
$383$	−3.63555	−	22.9539i	−0.185768	−	1.17289i	−0.887622	−	0.460572i	$-0.847644\pi$
$383$	−3.63555	−	22.9539i	−0.185768	−	1.17289i	0.701855	−	0.712320i	$-0.252356\pi$
$384$	9.16346	+	9.16346i	0.467621	+	0.467621i
$385$	−30.8415	−	42.0836i	−1.57183	−	2.14478i
$386$	−16.2394			−0.826563
$387$	−1.71378	−	1.24513i	−0.0871164	−	0.0632938i
$388$	−1.11906	−	2.19627i	−0.0568116	−	0.111499i
$389$	8.82307	−	2.86679i	0.447347	−	0.145352i	−0.0766757	−	0.997056i	$-0.524431\pi$
$389$	8.82307	−	2.86679i	0.447347	−	0.145352i	0.524023	+	0.851704i	$0.324431\pi$
$390$	−17.9137	−	8.83555i	−0.907095	−	0.447405i
$391$	−0.465917	−	0.641280i	−0.0235625	−	0.0324309i
$392$	26.0595	+	13.2780i	1.31620	+	0.670639i
$393$	−5.13510	−	1.66849i	−0.259031	−	0.0841644i
$394$	−0.609196	+	0.838486i	−0.0306908	+	0.0422423i
$395$	22.9315	−	22.9315i	1.15381	−	1.15381i
$396$	−0.483829	+	0.671743i	−0.0243133	+	0.0337563i
$397$	16.6967	−	16.6967i	0.837984	−	0.837984i	−0.150610	−	0.988593i	$-0.548124\pi$
$397$	16.6967	−	16.6967i	0.837984	−	0.837984i	0.988593	+	0.150610i	$0.0481237\pi$
$398$	0.461845	+	2.91597i	0.0231502	+	0.146165i
$399$	−5.38822	+	16.5832i	−0.269748	+	0.830200i
$400$	−36.4684	+	11.8493i	−1.82342	+	0.592465i
$401$	−1.66877	+	10.5362i	−0.0833346	+	0.526154i	0.910340	+	0.413860i	$0.135820\pi$
$401$	−1.66877	+	10.5362i	−0.0833346	+	0.526154i	−0.993675	+	0.112294i	$0.964180\pi$
$402$	16.9124	−	12.2876i	0.843513	−	0.612848i
$403$	5.02828	−	0.0654872i	0.250476	−	0.00326215i
$404$	0.244088	+	0.0793089i	0.0121438	+	0.00394577i
$405$	0.577798	+	3.64808i	0.0287110	+	0.181274i
$406$			38.4879i			1.91012i
$407$	−28.0817	+	28.3143i	−1.39196	+	1.40349i
$408$	2.06068	+	2.06068i	0.102019	+	0.102019i
$409$	−2.71980	+	0.430774i	−0.134485	+	0.0213004i	−0.223314	−	0.974747i	$-0.571688\pi$
$409$	−2.71980	+	0.430774i	−0.134485	+	0.0213004i	0.0888288	+	0.996047i	$0.471688\pi$
$410$	−7.13334	−	14.0000i	−0.352290	−	0.691409i
$411$	−13.1531	−	6.70186i	−0.648797	−	0.330578i
$412$	−0.147756	+	0.107351i	−0.00727943	+	0.00528882i
$413$	−0.934077	+	0.678646i	−0.0459629	+	0.0333940i
$414$	0.486244	−	0.954308i	0.0238976	−	0.0469017i
$415$	−17.1733	+	52.8541i	−0.843006	+	2.59451i
$416$	−3.02868	−	4.05645i	−0.148493	−	0.198884i
$417$			18.2709i			0.894732i
$418$	19.3424	−	6.37306i	0.946068	−	0.311716i
$419$	3.64578			0.178108			0.0890541	−	0.996027i	$-0.471616\pi$
$419$	3.64578			0.178108			0.0890541	+	0.996027i	$0.471616\pi$
$420$	3.17670	+	2.30801i	0.155007	+	0.112619i
$421$	−1.42425	+	0.725694i	−0.0694139	+	0.0353681i	−0.488353	−	0.872646i	$-0.662402\pi$
$421$	−1.42425	+	0.725694i	−0.0694139	+	0.0353681i	0.418939	+	0.908014i	$0.362402\pi$
$422$	−4.82616	+	9.47187i	−0.234934	+	0.461084i
$423$	0.558857	−	3.52848i	0.0271726	−	0.171561i
$424$	1.95043	+	0.308917i	0.0947212	+	0.0150024i
$425$	−9.12372	+	2.96447i	−0.442565	+	0.143798i
$426$	7.37698	−	22.7040i	0.357416	−	1.10001i
$427$	56.7935	−	8.99521i	2.74843	−	0.435309i
$428$	3.16060			0.152774
$429$	−8.30953	+	8.59952i	−0.401188	+	0.415189i
$430$	11.7353			0.565927
$431$	−27.9933	+	4.43370i	−1.34839	+	0.213564i	−0.788516	−	0.615014i	$-0.789150\pi$
$431$	−27.9933	+	4.43370i	−1.34839	+	0.213564i	−0.559874	+	0.828578i	$0.689150\pi$
$432$	−1.37108	+	4.21975i	−0.0659661	+	0.203023i
$433$	5.47311	−	1.77832i	0.263021	−	0.0854607i	−0.174538	−	0.984650i	$-0.555843\pi$
$433$	5.47311	−	1.77832i	0.263021	−	0.0854607i	0.437559	+	0.899190i	$0.355843\pi$
$434$	−8.79993	−	1.39377i	−0.422410	−	0.0669032i
$435$	3.48117	−	21.9793i	0.166909	−	1.05382i
$436$	−0.796697	+	1.56361i	−0.0381549	+	0.0748832i
$437$	−2.60481	+	1.32722i	−0.124605	+	0.0634894i
$438$	3.99405	+	2.90185i	0.190843	+	0.138656i
$439$	−2.00649			−0.0957644			−0.0478822	−	0.998853i	$-0.515247\pi$
$439$	−2.00649			−0.0957644			−0.0478822	+	0.998853i	$0.515247\pi$
$440$	0.132665	+	32.1607i	0.00632458	+	1.53320i
$441$			11.1403i			0.530490i
$442$	−3.59135	−	4.81008i	−0.170823	−	0.228792i
$443$	10.3048	−	31.7148i	0.489595	−	1.50682i	−0.335619	−	0.941998i	$-0.608946\pi$
$443$	10.3048	−	31.7148i	0.489595	−	1.50682i	0.825214	−	0.564820i	$-0.191054\pi$
$444$	1.36251	−	2.67408i	0.0646620	−	0.126906i
$445$	−13.1996	+	9.59009i	−0.625723	+	0.454614i
$446$	9.70615	−	7.05193i	0.459600	−	0.333919i
$447$	−3.52826	−	1.79774i	−0.166881	−	0.0850301i
$448$	−13.0865	−	25.6837i	−0.618280	−	1.21344i
$449$	−15.7323	+	2.49175i	−0.742452	+	0.117593i	−0.516190	−	0.856474i	$-0.672650\pi$
$449$	−15.7323	+	2.49175i	−0.742452	+	0.117593i	−0.226261	+	0.974067i	$0.572650\pi$
$450$	−9.16575	−	9.16575i	−0.432078	−	0.432078i
$451$	−9.28491	+	1.50987i	−0.437209	+	0.0710971i
$452$		−	2.25328i		−	0.105986i
$453$	2.16475	+	13.6677i	0.101709	+	0.642164i
$454$	12.8123	+	4.16297i	0.601312	+	0.195378i
$455$	40.6261	+	39.5815i	1.90458	+	1.85561i
$456$	8.69536	−	6.31755i	0.407198	−	0.295846i
$457$	1.42496	−	8.99686i	0.0666569	−	0.420855i	−0.931684	−	0.363270i	$-0.881660\pi$
$457$	1.42496	−	8.99686i	0.0666569	−	0.420855i	0.998341	−	0.0575847i	$-0.0183399\pi$
$458$	34.1438	−	11.0940i	1.59543	−	0.518388i
$459$	−0.343019	+	1.05570i	−0.0160107	+	0.0492760i
$460$	0.102987	+	0.650237i	0.00480181	+	0.0303174i
$461$	−26.4183	+	26.4183i	−1.23042	+	1.23042i	−0.266622	+	0.963801i	$0.585907\pi$
$461$	−26.4183	+	26.4183i	−1.23042	+	1.23042i	−0.963801	+	0.266622i	$0.914093\pi$
$462$	17.0892	−	12.5241i	0.795062	−	0.582672i
$463$	−11.4898	+	11.4898i	−0.533977	+	0.533977i	−0.921753	−	0.387777i	$-0.873243\pi$
$463$	−11.4898	+	11.4898i	−0.533977	+	0.533977i	0.387777	+	0.921753i	$0.373243\pi$
$464$	15.7126	−	21.6265i	0.729439	−	1.00399i
$465$	4.89931	+	1.59188i	0.227200	+	0.0738217i
$466$	18.0826	+	9.21355i	0.837661	+	0.426810i
$467$	−17.2834	−	23.7886i	−0.799782	−	1.10081i	−0.992820	−	0.119614i	$-0.961834\pi$
$467$	−17.2834	−	23.7886i	−0.799782	−	1.10081i	0.193039	−	0.981191i	$-0.438166\pi$
$468$	0.398097	−	0.807126i	0.0184021	−	0.0373094i
$469$	−56.4576	+	18.3442i	−2.60697	+	0.847056i
$470$	8.98488	+	17.6338i	0.414441	+	0.813387i
$471$	−7.91723	−	5.75220i	−0.364807	−	0.265048i
$472$	0.711692			0.0327583
$473$	2.14350	−	6.69080i	0.0985583	−	0.307644i
$474$	9.31197	+	9.31197i	0.427713	+	0.427713i
$475$	5.53481	+	34.9454i	0.253955	+	1.60341i
$476$	0.535744	+	1.05146i	0.0245558	+	0.0481934i
$477$	0.232436	+	0.715364i	0.0106425	+	0.0327543i
$478$	−7.92609	−	10.9093i	−0.362531	−	0.498981i
$479$	2.13686	+	0.338445i	0.0976356	+	0.0154640i	0.205061	−	0.978749i	$-0.434261\pi$
$479$	2.13686	+	0.338445i	0.0976356	+	0.0154640i	−0.107425	+	0.994213i	$0.534261\pi$
$480$	−1.60254	−	4.93212i	−0.0731457	−	0.225119i
$481$	25.0230	−	35.4016i	1.14095	−	1.61418i
$482$	−17.8448	−	12.9650i	−0.812809	−	0.590540i
$483$	−2.15061	+	2.15061i	−0.0978561	+	0.0978561i
$484$	−2.61818	−	0.826882i	−0.119008	−	0.0375855i
$485$		−	36.4751i		−	1.65625i
$486$	−1.48140	+	0.234631i	−0.0671978	+	0.0106431i
$487$	16.2733	−	8.29167i	0.737415	−	0.375732i	−0.0445888	−	0.999005i	$-0.514198\pi$
$487$	16.2733	−	8.29167i	0.737415	−	0.375732i	0.782004	+	0.623274i	$0.214198\pi$
$488$	−31.5811	−	16.0914i	−1.42961	−	0.728422i
$489$	1.94541	−	12.2828i	0.0879745	−	0.555449i
$490$	−36.2754	−	49.9288i	−1.63875	−	2.25555i
$491$	4.11202	+	12.6555i	0.185573	+	0.571135i	0.999958	−	0.00919058i	$-0.00292550\pi$
$491$	4.11202	+	12.6555i	0.185573	+	0.571135i	−0.814385	+	0.580325i	$0.802925\pi$
$492$	0.630787	−	0.321402i	0.0284381	−	0.0144899i
$493$	3.93100	−	5.41056i	0.177043	−	0.243679i
$494$	−19.5938	+	10.3071i	−0.881566	+	0.463739i
$495$	−10.8919	+	5.60641i	−0.489555	+	0.251990i
$496$	4.37572	+	4.37572i	0.196476	+	0.196476i
$497$	−39.8459	+	54.8432i	−1.78733	+	2.46005i
$498$	−21.4629	−	6.97371i	−0.961775	−	0.312500i
$499$	9.22059	−	18.0964i	0.412770	−	0.810107i	−0.587229	−	0.809421i	$-0.699781\pi$
$499$	9.22059	−	18.0964i	0.412770	−	0.810107i	1.00000		0.000686894i	$-0.000218645\pi$
$500$	3.31661	+	0.525299i	0.148323	+	0.0234921i
$501$	−10.1334	−	1.60497i	−0.452725	−	0.0717046i
$502$	−10.4169	+	20.4443i	−0.464929	+	0.912475i
$503$	−26.1286	−	8.48970i	−1.16502	−	0.378537i	−0.338236	−	0.941061i	$-0.609830\pi$
$503$	−26.1286	−	8.48970i	−1.16502	−	0.378537i	−0.826781	+	0.562524i	$0.809830\pi$
$504$	6.57249	−	9.04626i	0.292762	−	0.402952i
$505$	2.68544	+	2.68544i	0.119501	+	0.119501i
$506$	3.51078	+	0.541218i	0.156073	+	0.0240601i
$507$	7.36472	−	10.7127i	0.327078	−	0.475766i
$508$	2.78808	−	3.83746i	0.123701	−	0.170260i
$509$	16.5053	−	8.40987i	0.731584	−	0.372761i	−0.0481761	−	0.998839i	$-0.515341\pi$
$509$	16.5053	−	8.40987i	0.731584	−	0.372761i	0.779760	+	0.626078i	$0.215341\pi$
$510$	−1.90027	−	5.84843i	−0.0841453	−	0.258973i
$511$	−8.24032	−	11.3418i	−0.364530	−	0.501733i
$512$	−2.66992	+	16.8572i	−0.117995	+	0.744990i
$513$	3.64772	+	1.85861i	0.161051	+	0.0820595i
$514$	−14.7145	+	7.49739i	−0.649027	+	0.330696i
$515$	−2.66931	+	0.422777i	−0.117624	+	0.0186298i
$516$			0.528750i			0.0232769i
$517$	11.6949	−	1.90178i	0.514342	−	0.0836401i
$518$	−54.3126	+	54.3126i	−2.38636	+	2.38636i
$519$	0.217954	+	0.158353i	0.00956714	+	0.00695093i
$520$	−5.91861	−	34.4581i	−0.259548	−	1.51109i
$521$	1.15323	+	3.54929i	0.0505241	+	0.155497i	0.973135	−	0.230234i	$-0.0739492\pi$
$521$	1.15323	+	3.54929i	0.0505241	+	0.155497i	−0.922611	+	0.385731i	$0.873949\pi$
$522$	8.92529	+	1.41363i	0.390649	+	0.0618727i
$523$	−18.2694	−	25.1456i	−0.798864	−	1.09954i	−0.992947	−	0.118557i	$-0.962173\pi$
$523$	−18.2694	−	25.1456i	−0.798864	−	1.09954i	0.194083	−	0.980985i	$-0.437827\pi$
$524$	0.416464	+	1.28175i	0.0181933	+	0.0559933i
$525$	16.7109	+	32.7969i	0.729321	+	1.43137i
$526$	2.68045	+	16.9237i	0.116873	+	0.737910i
$527$	1.09472	+	1.09472i	0.0476870	+	0.0476870i
$528$	−14.7154	+	0.0607023i	−0.640407	+	0.00264173i
$529$	22.4901			0.977829
$530$	−3.37113	−	2.44927i	−0.146433	−	0.106389i
$531$	0.123069	+	0.241537i	0.00534075	+	0.0104818i
$532$	4.13925	−	1.34493i	0.179459	−	0.0583099i
$533$	9.68386	−	3.28650i	0.419454	−	0.142354i
$534$	−3.89432	−	5.36008i	−0.168524	−	0.231953i
$535$	41.6718	+	21.2328i	1.80163	+	0.917975i
$536$	34.8008	+	11.3075i	1.50317	+	0.488409i
$537$	−10.7939	+	14.8565i	−0.465791	+	0.641106i
$538$	−7.15885	+	7.15885i	−0.308640	+	0.308640i
$539$	−35.0924	+	11.5625i	−1.51153	+	0.498030i
$540$	0.651901	−	0.651901i	0.0280534	−	0.0280534i
$541$	3.06449	+	19.3485i	0.131753	+	0.831855i	0.961718	+	0.274040i	$0.0883601\pi$
$541$	3.06449	+	19.3485i	0.131753	+	0.831855i	−0.829965	+	0.557815i	$0.811640\pi$
$542$	7.36735	−	22.6744i	0.316455	−	0.973948i
$543$	0.728647	−	0.236752i	0.0312692	−	0.0101600i
$544$	0.243810	−	1.53935i	0.0104533	−	0.0659993i
$545$	−21.0085	+	15.2636i	−0.899905	+	0.653820i
$546$	−16.0732	+	16.4974i	−0.687868	+	0.706022i
$547$	−28.0467	−	9.11293i	−1.19919	−	0.389641i	−0.359728	−	0.933057i	$-0.617131\pi$
$547$	−28.0467	−	9.11293i	−1.19919	−	0.389641i	−0.839463	+	0.543416i	$0.817131\pi$
$548$	0.576413	+	3.63933i	0.0246232	+	0.155465i
$549$		−	13.5007i		−	0.576197i
$550$	19.3594	−	38.3856i	0.825488	−	1.63677i
$551$	−17.4411	−	17.4411i	−0.743018	−	0.743018i
$552$	1.85167	−	0.293276i	0.0788123	−	0.0124826i
$553$	−16.9774	−	33.3201i	−0.721954	−	1.41691i
$554$	42.2516	+	21.5283i	1.79510	+	0.914649i
$555$	35.9288	−	26.1038i	1.52509	−	1.10804i
$556$	3.68953	−	2.68060i	0.156471	−	0.113683i
$557$	−12.0423	+	23.6343i	−0.510247	+	1.00142i	0.481887	+	0.876234i	$0.339952\pi$
$557$	−12.0423	+	23.6343i	−0.510247	+	1.00142i	−0.992134	+	0.125183i	$0.960048\pi$
$558$	−0.646428	+	1.98950i	−0.0273655	+	0.0842222i
$559$	−1.09648	+	7.55870i	−0.0463760	+	0.319699i
$560$			69.7985i			2.94953i
$561$	−3.68153	+	0.0151866i	−0.155434	+	0.000641178i
$562$	23.2239			0.979641
$563$	−32.9000	−	23.9033i	−1.38657	−	1.00740i	−0.996232	−	0.0867318i	$-0.972358\pi$
$563$	−32.9000	−	23.9033i	−1.38657	−	1.00740i	−0.390339	−	0.920671i	$-0.627642\pi$
$564$	−0.794515	+	0.404826i	−0.0334551	+	0.0170462i
$565$	15.1375	−	29.7090i	0.636839	−	1.24987i
$566$	2.20616	−	13.9292i	0.0927319	−	0.585486i
$567$	4.20670	+	0.666276i	0.176665	+	0.0279810i
$568$	39.7410	−	12.9126i	1.66749	−	0.541802i
$569$	3.73489	−	11.4948i	0.156575	−	0.481888i	−0.841742	−	0.539880i	$-0.818470\pi$
$569$	3.73489	−	11.4948i	0.156575	−	0.481888i	0.998317	+	0.0579917i	$0.0184697\pi$
$570$	−22.4005	+	3.54789i	−0.938254	+	0.148605i
$571$	45.8016			1.91674			0.958370	−	0.285531i	$-0.0921698\pi$
$571$	45.8016			1.91674			0.958370	+	0.285531i	$0.0921698\pi$
$572$	2.95566	+	0.416311i	0.123583	+	0.0174069i
$573$	4.11150			0.171760
$574$	−17.8955	+	2.83437i	−0.746944	+	0.118304i
$575$	−1.90707	+	5.86936i	−0.0795304	+	0.244769i
$576$	−6.43668	+	2.09140i	−0.268195	+	0.0871418i
$577$	−15.7057	−	2.48754i	−0.653837	−	0.103558i	−0.179302	−	0.983794i	$-0.557384\pi$
$577$	−15.7057	−	2.48754i	−0.653837	−	0.103558i	−0.474535	+	0.880237i	$0.657384\pi$
$578$	−3.69962	+	23.3585i	−0.153884	+	0.971585i
$579$	4.91545	−	9.64711i	0.204279	−	0.400920i
$580$	−4.94911	+	2.52170i	−0.205501	+	0.104708i
$581$	51.8452	+	37.6677i	2.15090	+	1.56272i
$582$	14.8117			0.613966
$583$	−2.01218	+	1.47466i	−0.0833361	+	0.0610740i
$584$			8.64156i			0.357590i
$585$	10.6711	−	7.96734i	0.441194	−	0.329409i
$586$	1.25330	−	3.85727i	0.0517735	−	0.159342i
$587$	9.13062	−	17.9198i	0.376861	−	0.739631i	−0.622204	−	0.782855i	$-0.713763\pi$
$587$	9.13062	−	17.9198i	0.376861	−	0.739631i	0.999065	+	0.0432235i	$0.0137628\pi$
$588$	2.24961	−	1.63444i	0.0927722	−	0.0674030i
$589$	4.61937	−	3.35617i	0.190338	−	0.138289i
$590$	−1.33808	−	0.681784i	−0.0550877	−	0.0280686i
$591$	−0.313713	−	0.615696i	−0.0129044	−	0.0253263i
$592$	52.6915	−	8.34552i	2.16561	−	0.342999i
$593$	21.8385	+	21.8385i	0.896800	+	0.896800i	0.995152	−	0.0983519i	$-0.0313571\pi$
$593$	21.8385	+	21.8385i	0.896800	+	0.896800i	−0.0983519	+	0.995152i	$0.531357\pi$
$594$	−2.27664	−	4.42296i	−0.0934117	−	0.181476i
$595$			17.4623i			0.715885i
$596$	0.154620	+	0.976231i	0.00633348	+	0.0399880i
$597$	−1.87205	−	0.608265i	−0.0766178	−	0.0248946i
$598$	−3.86138	+	0.0502898i	−0.157904	+	0.00205650i
$599$	19.3911	−	14.0885i	0.792299	−	0.575639i	−0.116346	−	0.993209i	$-0.537118\pi$
$599$	19.3911	−	14.0885i	0.792299	−	0.575639i	0.908645	+	0.417570i	$0.137118\pi$
$600$	3.54937	−	22.4099i	0.144903	−	0.914878i
$601$	16.2492	−	5.27969i	0.662819	−	0.215363i	0.0417613	−	0.999128i	$-0.486703\pi$
$601$	16.2492	−	5.27969i	0.662819	−	0.215363i	0.621058	+	0.783765i	$0.286703\pi$
$602$	4.18172	−	12.8700i	0.170434	−	0.524543i
$603$	2.18035	+	13.7662i	0.0887908	+	0.560603i
$604$	2.44238	−	2.44238i	0.0993790	−	0.0993790i
$605$	−28.9651	−	28.4911i	−1.17760	−	1.15833i
$606$	−1.09050	+	1.09050i	−0.0442984	+	0.0442984i
$607$	2.48183	−	3.41594i	0.100734	−	0.138649i	−0.755674	−	0.654948i	$-0.772691\pi$
$607$	2.48183	−	3.41594i	0.100734	−	0.138649i	0.856408	+	0.516299i	$0.172691\pi$
$608$	−5.46676	−	1.77626i	−0.221707	−	0.0720368i
$609$	−22.8640	−	11.6498i	−0.926495	−	0.472073i
$610$	43.9615	+	60.5078i	1.77995	+	2.44989i
$611$	−12.1974	+	4.13955i	−0.493454	+	0.167468i
$612$	0.263509	−	0.0856191i	0.0106517	−	0.00346095i
$613$	1.39185	+	2.73165i	0.0562161	+	0.110330i	0.917405	−	0.397954i	$-0.130280\pi$
$613$	1.39185	+	2.73165i	0.0562161	+	0.110330i	−0.861189	+	0.508285i	$0.830280\pi$
$614$	−18.4443	−	13.4006i	−0.744351	−	0.540803i
$615$	10.4759			0.422431
$616$	35.3177	+	11.3145i	1.42299	+	0.455876i
$617$	−8.29839	−	8.29839i	−0.334081	−	0.334081i	0.520053	−	0.854134i	$-0.325912\pi$
$617$	−8.29839	−	8.29839i	−0.334081	−	0.334081i	−0.854134	+	0.520053i	$0.825912\pi$
$618$	−0.171681	−	1.08395i	−0.00690600	−	0.0436028i
$619$	−7.66820	−	15.0497i	−0.308211	−	0.604898i	0.683998	−	0.729484i	$-0.260240\pi$
$619$	−7.66820	−	15.0497i	−0.308211	−	0.604898i	−0.992209	+	0.124586i	$0.960240\pi$
$620$	−0.397341	−	1.22289i	−0.0159576	−	0.0491125i
$621$	0.419733	+	0.577713i	0.0168433	+	0.0231828i
$622$	37.4188	+	5.92656i	1.50036	+	0.237633i
$623$	5.81386	+	17.8932i	0.232927	+	0.716877i
$624$	15.7666	−	2.70811i	0.631170	−	0.108411i
$625$	5.24079	+	3.80766i	0.209632	+	0.152306i
$626$	13.0636	−	13.0636i	0.522126	−	0.522126i
$627$	−2.06874	+	13.4195i	−0.0826173	+	0.535924i
$628$			2.44269i			0.0974740i
$629$	13.1825	−	2.08790i	0.525619	−	0.0832498i
$630$	−21.0233	+	10.7119i	−0.837587	+	0.426772i
$631$	−19.5153	−	9.94357i	−0.776894	−	0.395847i	0.0201282	−	0.999797i	$-0.493593\pi$
$631$	−19.5153	−	9.94357i	−0.776894	−	0.395847i	−0.797022	+	0.603950i	$0.793593\pi$
$632$	−3.60599	+	22.7673i	−0.143439	+	0.905636i
$633$	−4.16601	−	5.73402i	−0.165584	−	0.227907i
$634$	9.10398	+	28.0192i	0.361565	+	1.11278i
$635$	62.5400	−	31.8657i	2.48182	−	1.26455i
$636$	0.110355	−	0.151891i	0.00437586	−	0.00602286i
$637$	35.5484	−	18.6999i	1.40848	−	0.740917i
$638$	4.81054	+	29.5822i	0.190451	+	1.17117i
$639$	11.2545	+	11.2545i	0.445223	+	0.445223i
$640$	28.1344	−	38.7236i	1.11211	−	1.53069i
$641$	20.1331	+	6.54163i	0.795208	+	0.258379i	0.678320	−	0.734766i	$-0.262708\pi$
$641$	20.1331	+	6.54163i	0.795208	+	0.258379i	0.116888	+	0.993145i	$0.462708\pi$
$642$	−8.62218	+	16.9220i	−0.340290	+	0.667857i
$643$	1.58850	+	0.251594i	0.0626445	+	0.00992191i	0.187678	−	0.982231i	$-0.439904\pi$
$643$	1.58850	+	0.251594i	0.0626445	+	0.00992191i	−0.125034	+	0.992153i	$0.539904\pi$
$644$	0.749807	+	0.118758i	0.0295465	+	0.00467971i
$645$	−3.55213	+	6.97144i	−0.139865	+	0.274500i
$646$	−6.48240	−	2.10626i	−0.255047	−	0.0828697i
$647$	−28.9990	+	39.9137i	−1.14007	+	1.56917i	−0.372718	+	0.927945i	$0.621574\pi$
$647$	−28.9990	+	39.9137i	−1.14007	+	1.56917i	−0.767352	+	0.641226i	$0.778426\pi$
$648$	−1.85641	−	1.85641i	−0.0729267	−	0.0729267i
$649$	−0.633119	+	0.638364i	−0.0248521	+	0.0250580i
$650$	−13.8623	+	44.6332i	−0.543722	+	1.75066i
$651$	3.49160	−	4.80578i	0.136847	−	0.188353i
$652$	−2.76575	+	1.40922i	−0.108315	+	0.0551893i
$653$	−1.30466	−	4.01532i	−0.0510551	−	0.157132i	0.922278	−	0.386527i	$-0.126325\pi$
$653$	−1.30466	−	4.01532i	−0.0510551	−	0.157132i	−0.973333	+	0.229395i	$0.926325\pi$
$654$	−6.19820	−	8.53109i	−0.242369	−	0.333592i
$655$	−3.11974	+	19.6973i	−0.121898	+	0.769637i
$656$	11.2127	+	5.71315i	0.437782	+	0.223061i
$657$	−2.93281	+	1.49434i	−0.114420	+	0.0582998i
$658$	22.5405	−	3.57006i	0.878720	−	0.139176i
$659$			13.1170i			0.510964i	0.966814	+	0.255482i	$0.0822341\pi$
$659$			13.1170i			0.510964i	−0.966814	+	0.255482i	$0.917766\pi$
$660$	2.73012	+	1.37691i	0.106270	+	0.0535962i
$661$	17.9600	−	17.9600i	0.698563	−	0.698563i	−0.265537	−	0.964101i	$-0.585549\pi$
$661$	17.9600	−	17.9600i	0.698563	−	0.698563i	0.964101	+	0.265537i	$0.0855493\pi$
$662$	20.8608	+	15.1563i	0.810780	+	0.589066i
$663$	3.94451	−	0.677520i	0.153192	−	0.0263127i
$664$	−12.2068	−	37.5685i	−0.473714	−	1.45794i
$665$	63.6102	+	10.0749i	2.46670	+	0.390686i
$666$	10.6002	+	14.5899i	0.410748	+	0.565346i
$667$	−1.32949	−	4.09176i	−0.0514782	−	0.158434i
$668$	1.16261	+	2.28175i	0.0449827	+	0.0882835i
$669$	1.25132	+	7.90053i	0.0483789	+	0.305452i
$670$	−54.5980	−	54.5980i	−2.10930	−	2.10930i
$671$	42.5278	−	14.0123i	1.64177	−	0.540941i
$672$	−5.98005			−0.230686
$673$	17.1463	+	12.4575i	0.660941	+	0.480202i	0.866981	−	0.498342i	$-0.166057\pi$
$673$	17.1463	+	12.4575i	0.660941	+	0.480202i	−0.206039	+	0.978544i	$0.566057\pi$
$674$	12.3167	+	24.1728i	0.474420	+	0.931102i
$675$	8.21933	−	2.67062i	0.316362	−	0.102792i
$676$	−3.24376	+	0.0845064i	−0.124760	+	0.00325025i
$677$	8.61322	+	11.8551i	0.331033	+	0.455628i	0.941796	−	0.336186i	$-0.109137\pi$
$677$	8.61322	+	11.8551i	0.331033	+	0.455628i	−0.610763	+	0.791814i	$0.709137\pi$
$678$	12.0642	+	6.14699i	0.463321	+	0.236074i
$679$	−40.0019	−	12.9974i	−1.53513	−	0.498795i
$680$	6.32685	−	8.70816i	0.242624	−	0.333943i
$681$	−6.35116	+	6.35116i	−0.243377	+	0.243377i
$682$	−6.93793	+	0.0286195i	−0.265667	+	0.00109590i
$683$	−7.21352	+	7.21352i	−0.276018	+	0.276018i	−0.831517	−	0.555499i	$-0.812527\pi$
$683$	−7.21352	+	7.21352i	−0.276018	+	0.276018i	0.555499	+	0.831517i	$0.312527\pi$
$684$	−0.159855	−	1.00928i	−0.00611221	−	0.0385910i
$685$	−16.8490	+	51.8560i	−0.643768	+	1.98132i
$686$	−25.1542	+	8.17311i	−0.960393	+	0.312051i
$687$	−3.74442	+	23.6413i	−0.142858	+	0.901973i
$688$	−7.60389	+	5.52455i	−0.289895	+	0.210621i
$689$	1.89255	−	1.94250i	0.0721004	−	0.0740032i
$690$	−3.76234	−	1.22246i	−0.143230	−	0.0465382i
$691$	5.79153	+	36.5663i	0.220320	+	1.39105i	0.811427	+	0.584454i	$0.198691\pi$
$691$	5.79153	+	36.5663i	0.220320	+	1.39105i	−0.591107	+	0.806593i	$0.701309\pi$
$692$		−	0.0672452i		−	0.00255628i
$693$	2.26732	+	13.9428i	0.0861285	+	0.529644i
$694$	−29.7675	−	29.7675i	−1.12996	−	1.12996i
$695$	66.6538	−	10.5569i	2.52832	−	0.400447i
$696$	7.18100	+	14.0935i	0.272195	+	0.534213i
$697$	2.80521	+	1.42933i	0.106255	+	0.0541396i
$698$	−16.5537	+	12.0270i	−0.626568	+	0.455228i
$699$	−10.9467	+	7.95328i	−0.414044	+	0.300820i
$700$	4.17111	−	8.18626i	0.157653	−	0.309412i
$701$	13.2014	−	40.6297i	0.498610	−	1.53456i	−0.312645	−	0.949870i	$-0.601215\pi$
$701$	13.2014	−	40.6297i	0.498610	−	1.53456i	0.811255	−	0.584693i	$-0.198785\pi$
$702$	3.23536	+	4.33328i	0.122111	+	0.163549i
$703$		−	49.2245i		−	1.85654i
$704$	−13.2686	−	18.1051i	−0.500080	−	0.682363i
$705$	−13.1951			−0.496956
$706$	−28.8328	−	20.9483i	−1.08514	−	0.788398i
$707$	3.90202	−	1.98818i	0.146751	−	0.0747732i
$708$	0.0307187	−	0.0602888i	0.00115448	−	0.00226579i
$709$	−2.52670	+	15.9530i	−0.0948923	+	0.599127i	0.893718	+	0.448629i	$0.148088\pi$
$709$	−2.52670	+	15.9530i	−0.0948923	+	0.599127i	−0.988610	+	0.150497i	$0.951912\pi$
$710$	−87.0883	−	13.7934i	−3.26837	−	0.517658i
$711$	−8.35045	+	2.71322i	−0.313166	+	0.101754i
$712$	3.58370	−	11.0295i	0.134305	−	0.413348i
$713$	0.983692	−	0.155801i	0.0368395	−	0.00583481i
$714$	−7.09105			−0.265376
$715$	36.1729	+	25.3450i	1.35279	+	0.947850i
$716$	4.58366			0.171299
$717$	8.87988	−	1.40643i	0.331625	−	0.0525242i
$718$	5.21072	−	16.0370i	0.194462	−	0.598494i
$719$	24.0844	−	7.82549i	0.898196	−	0.291841i	0.176704	−	0.984264i	$-0.443457\pi$
$719$	24.0844	−	7.82549i	0.898196	−	0.291841i	0.721492	+	0.692423i	$0.243457\pi$
$720$	16.1862	+	2.56364i	0.603223	+	0.0955412i
$721$	−0.487517	+	3.07806i	−0.0181561	+	0.114633i
$722$	1.52508	−	2.99313i	0.0567574	−	0.111393i
$723$	13.1033	−	6.67649i	0.487319	−	0.248301i
$724$	−0.154711	−	0.112404i	−0.00574979	−	0.00417747i
$725$	−52.0690			−1.93379
$726$	11.5696	−	11.7621i	0.429388	−	0.436532i
$727$			9.64232i			0.357614i	0.983884	+	0.178807i	$0.0572238\pi$
$727$			9.64232i			0.357614i	−0.983884	+	0.178807i	$0.942776\pi$
$728$	−39.8989	−	5.78779i	−1.47875	−	0.214510i
$729$	0.309017	−	0.951057i	0.0114451	−	0.0352243i
$730$	8.27841	−	16.2473i	0.306398	−	0.601339i
$731$	−1.90235	+	1.38214i	−0.0703610	+	0.0511203i
$732$	−2.72626	+	1.98074i	−0.100766	+	0.0732104i
$733$	−40.1849	−	20.4752i	−1.48426	−	0.756269i	−0.490891	−	0.871221i	$-0.663329\pi$
$733$	−40.1849	−	20.4752i	−1.48426	−	0.756269i	−0.993371	+	0.114952i	$0.963329\pi$
$734$	0.283263	+	0.555935i	0.0104554	+	0.0205199i
$735$	40.6406	−	6.43684i	1.49905	−	0.237426i
$736$	−0.708962	−	0.708962i	−0.0261327	−	0.0261327i
$737$	−41.1012	+	21.1561i	−1.51398	+	0.779295i
$738$			4.25404i			0.156594i
$739$	0.295798	+	1.86760i	0.0108811	+	0.0687006i	0.992531	−	0.121990i	$-0.0389274\pi$
$739$	0.295798	+	1.86760i	0.0108811	+	0.0687006i	−0.981650	+	0.190690i	$0.938927\pi$
$740$	−10.5425	−	3.42547i	−0.387550	−	0.125923i
$741$	−0.192226	−	14.7596i	−0.00706161	−	0.542209i
$742$	−3.88735	+	2.82432i	−0.142709	+	0.103684i
$743$	7.93588	−	50.1052i	0.291139	−	1.83818i	−0.216094	−	0.976373i	$-0.569332\pi$
$743$	7.93588	−	50.1052i	0.291139	−	1.83818i	0.507233	−	0.861809i	$-0.330668\pi$
$744$	−3.48241	+	1.13150i	−0.127671	+	0.0414829i
$745$	−4.51966	+	13.9101i	−0.165588	+	0.509626i
$746$	−4.24375	−	26.7940i	−0.155375	−	0.980997i
$747$	10.6393	−	10.6393i	0.389272	−	0.389272i
$748$	0.543199	+	0.741200i	0.0198613	+	0.0271009i
$749$	38.1350	−	38.1350i	1.39342	−	1.39342i
$750$	−11.8602	+	16.3242i	−0.433074	+	0.596075i
$751$	0.484473	+	0.157415i	0.0176787	+	0.00574415i	0.317843	−	0.948143i	$-0.397042\pi$
$751$	0.484473	+	0.157415i	0.0176787	+	0.00574415i	−0.300164	+	0.953888i	$0.597042\pi$
$752$	−14.1231	−	7.19607i	−0.515016	−	0.262414i
$753$	−8.99202	−	12.3765i	−0.327687	−	0.451023i
$754$	−10.4710	−	30.8533i	−0.381331	−	1.12361i
$755$	48.6100	−	15.7943i	1.76910	−	0.574815i
$756$	−0.482638	−	0.947231i	−0.0175534	−	0.0344505i
$757$	−11.5695	−	8.40574i	−0.420501	−	0.305512i	0.357339	−	0.933975i	$-0.383684\pi$
$757$	−11.5695	−	8.40574i	−0.420501	−	0.305512i	−0.777839	+	0.628463i	$0.783684\pi$
$758$	13.5616			0.492580
$759$	−1.38418	+	1.92178i	−0.0502426	+	0.0697563i
$760$	−28.0711	−	28.0711i	−1.01824	−	1.01824i
$761$	−2.91653	−	18.4143i	−0.105724	−	0.667517i	−0.982450	−	0.186526i	$-0.940277\pi$
$761$	−2.91653	−	18.4143i	−0.105724	−	0.667517i	0.876726	−	0.480991i	$-0.159723\pi$
$762$	12.9400	+	25.3961i	0.468765	+	0.920003i
$763$	9.25333	+	28.4788i	0.334993	+	1.03100i
$764$	−0.603214	−	0.830253i	−0.0218235	−	0.0300375i
$765$	4.04948	+	0.641375i	0.146409	+	0.0231890i
$766$	−10.7714	−	33.1510i	−0.389187	−	1.19780i
$767$	0.564158	−	0.798152i	0.0203706	−	0.0288196i
$768$	4.77408	+	3.46857i	0.172270	+	0.125161i
$769$	3.74559	−	3.74559i	0.135069	−	0.135069i	−0.636340	−	0.771409i	$-0.719552\pi$
$769$	3.74559	−	3.74559i	0.135069	−	0.135069i	0.771409	+	0.636340i	$0.219552\pi$
$770$	−55.5629	−	55.1063i	−2.00235	−	1.98589i
$771$		−	11.0106i		−	0.396537i
$772$	−2.66925	+	0.422768i	−0.0960684	+	0.0152157i
$773$	−48.6217	+	24.7740i	−1.74880	+	0.891059i	−0.787160	+	0.616749i	$0.788449\pi$
$773$	−48.6217	+	24.7740i	−1.74880	+	0.891059i	−0.961641	+	0.274309i	$0.911551\pi$
$774$	−2.83095	−	1.44244i	−0.101756	−	0.0518474i
$775$	1.88559	−	11.9051i	0.0677323	−	0.427645i
$776$	15.2391	+	20.9749i	0.547053	+	0.752955i
$777$	−15.8250	−	48.7045i	−0.567720	−	1.74726i
$778$	12.3979	−	6.31703i	0.444485	−	0.226477i
$779$	6.82509	−	9.39393i	0.244534	−	0.336572i
$780$	−3.17448	−	0.985934i	−0.113664	−	0.0353021i
$781$	−23.7712	+	47.1333i	−0.850602	+	1.68656i
$782$	−0.840675	−	0.840675i	−0.0300625	−	0.0300625i
$783$	−3.54134	+	4.87424i	−0.126557	+	0.174191i
$784$	47.0092	+	15.2742i	1.67890	+	0.545508i
$785$	−16.4099	+	32.2063i	−0.585695	+	1.14949i
$786$	−7.99863	−	1.26686i	−0.285302	−	0.0451873i
$787$	−11.5881	−	1.83537i	−0.413070	−	0.0654239i	−0.0535589	−	0.998565i	$-0.517056\pi$
$787$	−11.5881	−	1.83537i	−0.413070	−	0.0654239i	−0.359511	+	0.933141i	$0.617056\pi$
$788$	−0.0783042	+	0.153681i	−0.00278947	+	0.00547465i
$789$	−10.8650	−	3.53025i	−0.386804	−	0.125680i
$790$	28.5903	−	39.3512i	1.01720	−	1.40005i
$791$	−27.1875	−	27.1875i	−0.966678	−	0.966678i
$792$	3.92101	−	7.77454i	0.139327	−	0.276256i
$793$	−43.0805	+	22.6621i	−1.52983	+	0.804754i
$794$	20.8170	−	28.6521i	0.738767	−	1.01683i
$795$	2.47540	−	1.26128i	0.0877934	−	0.0447330i
$796$	0.151826	+	0.467272i	0.00538133	+	0.0165620i
$797$	19.5590	+	26.9207i	0.692815	+	0.953579i	0.999998	+	0.00192813i	$0.000613745\pi$
$797$	19.5590	+	26.9207i	0.692815	+	0.953579i	−0.307183	+	0.951651i	$0.599386\pi$
$798$	−4.09118	+	25.8307i	−0.144826	+	0.914396i
$799$	−3.53333	−	1.80032i	−0.125000	−	0.0636909i
$800$	−10.8117	+	5.50883i	−0.382251	+	0.194767i
$801$	4.36295	−	0.691023i	0.154157	−	0.0244161i
$802$			15.9999i			0.564977i
$803$	−7.75119	−	7.68751i	−0.273534	−	0.271286i
$804$	2.45998	−	2.45998i	0.0867569	−	0.0867569i
$805$	9.08821	+	6.60297i	0.320317	+	0.232724i
$806$	7.43354	−	1.27680i	0.261835	−	0.0449735i
$807$	−2.08587	−	6.41965i	−0.0734261	−	0.225982i
$808$	−2.66622	−	0.422288i	−0.0937973	−	0.0148560i
$809$	12.6249	+	17.3767i	0.443869	+	0.610934i	0.971066	−	0.238809i	$-0.0767571\pi$
$809$	12.6249	+	17.3767i	0.443869	+	0.610934i	−0.527197	+	0.849743i	$0.676757\pi$
$810$	1.71190	+	5.26870i	0.0601502	+	0.185123i
$811$	14.8656	+	29.1753i	0.522001	+	1.02448i	0.990041	+	0.140777i	$0.0449601\pi$
$811$	14.8656	+	29.1753i	0.522001	+	1.02448i	−0.468040	+	0.883707i	$0.655040\pi$
$812$	1.00197	+	6.32622i	0.0351624	+	0.222007i
$813$	11.2399	+	11.2399i	0.394199	+	0.394199i
$814$	−34.9569	+	48.5337i	−1.22524	+	1.70111i
$815$	−45.9328			−1.60896
$816$	3.98450	+	2.89491i	0.139485	+	0.101342i
$817$	3.93718	+	7.72715i	0.137744	+	0.270339i
$818$	−3.92804	+	1.27630i	−0.137341	+	0.0446247i
$819$	−4.93523	−	14.5419i	−0.172451	−	0.508135i
$820$	−1.53697	−	2.11545i	−0.0536732	−	0.0738748i
$821$	27.0392	+	13.7771i	0.943673	+	0.480825i	0.856946	−	0.515407i	$-0.172359\pi$
$821$	27.0392	+	13.7771i	0.943673	+	0.480825i	0.0867273	+	0.996232i	$0.472359\pi$
$822$	−21.0576	−	6.84202i	−0.734467	−	0.238643i
$823$	−25.5923	+	35.2247i	−0.892090	+	1.22786i	0.0808328	+	0.996728i	$0.474242\pi$
$823$	−25.5923	+	35.2247i	−0.892090	+	1.22786i	−0.972923	+	0.231129i	$0.925758\pi$
$824$	1.35834	−	1.35834i	0.0473201	−	0.0473201i
$825$	16.9434	+	23.1194i	0.589893	+	0.804914i
$826$	−1.22451	+	1.22451i	−0.0426062	+	0.0426062i
$827$	−0.525499	−	3.31787i	−0.0182734	−	0.115374i	0.976866	−	0.213854i	$-0.0686018\pi$
$827$	−0.525499	−	3.31787i	−0.0182734	−	0.115374i	−0.995139	+	0.0984806i	$0.968602\pi$
$828$	0.0550795	−	0.169517i	0.00191414	−	0.00589113i
$829$	26.2500	−	8.52914i	0.911700	−	0.296229i	0.184642	−	0.982806i	$-0.440887\pi$
$829$	26.2500	−	8.52914i	0.911700	−	0.296229i	0.727058	+	0.686576i	$0.240887\pi$
$830$	−13.0394	+	82.3276i	−0.452605	+	2.85763i
$831$	−25.5780	+	18.5835i	−0.887292	+	0.644656i
$832$	17.4781	+	17.0287i	0.605945	+	0.590364i
$833$	11.7608	+	3.82133i	0.407489	+	0.132401i
$834$	4.28693	+	27.0666i	0.148444	+	0.937240i
$835$			37.8946i			1.31140i
$836$	3.01338	−	1.55108i	0.104220	−	0.0536453i
$837$	−0.986210	−	0.986210i	−0.0340884	−	0.0340884i
$838$	5.40087	−	0.855414i	0.186570	−	0.0295498i
$839$	5.36140	+	10.5223i	0.185096	+	0.363272i	0.964845	−	0.262821i	$-0.0846530\pi$
$839$	5.36140	+	10.5223i	0.185096	+	0.363272i	−0.779748	+	0.626093i	$0.784653\pi$
$840$	−36.7990	−	18.7500i	−1.26969	−	0.646937i
$841$	5.90525	−	4.29042i	0.203629	−	0.147945i
$842$	−1.93962	+	1.40922i	−0.0668438	+	0.0485649i
$843$	−7.02957	+	13.7963i	−0.242111	+	0.475170i
$844$	−0.546685	+	1.68252i	−0.0188177	+	0.0579149i
$845$	−43.3359	−	20.6773i	−1.49080	−	0.711320i
$846$		−	5.35823i		−	0.184220i
$847$	−41.5672	+	21.6134i	−1.42827	+	0.742644i
$848$	3.33734			0.114605
$849$	7.60693	+	5.52676i	0.261069	+	0.189678i
$850$	−12.8203	+	6.53229i	−0.439734	+	0.224056i
$851$	3.89800	−	7.65026i	0.133622	−	0.262248i
$852$	0.621482	−	3.92388i	0.0212916	−	0.134430i
$853$	8.25297	+	1.30714i	0.282576	+	0.0447557i	0.296114	−	0.955153i	$-0.404309\pi$
$853$	8.25297	+	1.30714i	0.282576	+	0.0447557i	−0.0135374	+	0.999908i	$0.504309\pi$
$854$	82.0235	−	26.6510i	2.80679	−	0.911980i
$855$	4.67269	−	14.3811i	0.159803	−	0.491822i
$856$	−32.8342	+	5.20043i	−1.12225	+	0.177747i
$857$	−12.8981			−0.440592			−0.220296	−	0.975433i	$-0.570702\pi$
$857$	−12.8981			−0.440592			−0.220296	+	0.975433i	$0.570702\pi$
$858$	−10.2920	+	14.6890i	−0.351365	+	0.501475i
$859$	31.1853			1.06403			0.532014	−	0.846736i	$-0.321436\pi$
$859$	31.1853			1.06403			0.532014	+	0.846736i	$0.321436\pi$
$860$	1.92892	−	0.305511i	0.0657757	−	0.0104178i
$861$	3.73296	−	11.4889i	0.127219	−	0.391540i
$862$	−40.4291	+	13.1362i	−1.37702	+	0.447421i
$863$	−30.0506	−	4.75954i	−1.02293	−	0.162017i	−0.377641	−	0.925952i	$-0.623265\pi$
$863$	−30.0506	−	4.75954i	−1.02293	−	0.162017i	−0.645293	+	0.763935i	$0.723265\pi$
$864$	−0.219642	+	1.38677i	−0.00747238	+	0.0471787i
$865$	0.451751	−	0.886611i	0.0153600	−	0.0301457i
$866$	7.69063	−	3.91857i	0.261338	−	0.133158i
$867$	−12.7564	−	9.26810i	−0.433231	−	0.314761i
$868$	−1.48272			−0.0503268
$869$	−17.2137	−	23.4882i	−0.583934	−	0.796783i
$870$		−	33.3769i		−	1.13158i
$871$	40.2678	−	30.0652i	1.36442	−	1.01872i
$872$	5.70381	−	17.5545i	0.193155	−	0.594471i
$873$	−4.48332	+	8.79901i	−0.151737	+	0.297801i
$874$	−3.54737	+	2.57731i	−0.119991	+	0.0871789i
$875$	46.3554	−	33.6792i	1.56710	−	1.13856i
$876$	0.732044	+	0.372995i	0.0247335	+	0.0126023i
$877$	4.02104	+	7.89173i	0.135781	+	0.266485i	0.948878	−	0.315643i	$-0.102220\pi$
$877$	4.02104	+	7.89173i	0.135781	+	0.266485i	−0.813097	+	0.582128i	$0.802220\pi$
$878$	−2.97241	+	0.470784i	−0.100314	+	0.0158882i
$879$	1.91208	+	1.91208i	0.0644928	+	0.0644928i
$880$	8.72400	+	53.6479i	0.294086	+	1.80847i
$881$			49.3492i			1.66262i	0.555810	+	0.831309i	$0.312408\pi$
$881$			49.3492i			1.66262i	−0.555810	+	0.831309i	$0.687592\pi$
$882$	2.61386	+	16.5032i	0.0880131	+	0.555693i
$883$	−34.0191	−	11.0535i	−1.14483	−	0.371979i	−0.325638	−	0.945494i	$-0.605579\pi$
$883$	−34.0191	−	11.0535i	−1.14483	−	0.371979i	−0.819195	+	0.573516i	$0.805579\pi$
$884$	−0.715530	−	0.697132i	−0.0240659	−	0.0234471i
$885$	0.810036	−	0.588526i	0.0272291	−	0.0197831i
$886$	7.82423	−	49.4003i	0.262860	−	1.65963i
$887$	−30.1208	+	9.78684i	−1.01136	+	0.328610i	−0.767395	−	0.641175i	$-0.778447\pi$
$887$	−30.1208	+	9.78684i	−1.01136	+	0.328610i	−0.243963	+	0.969785i	$0.578447\pi$
$888$	−9.75466	+	30.0218i	−0.327345	+	1.00746i
$889$	−12.6616	−	79.9420i	−0.424655	−	2.68117i
$890$	−17.3038	+	17.3038i	−0.580026	+	0.580026i
$891$	3.31660	−	0.0136812i	0.111110	−	0.000458338i
$892$	1.41180	−	1.41180i	0.0472707	−	0.0472707i
$893$	−8.59662	+	11.8322i	−0.287675	+	0.395951i
$894$	−5.64858	−	1.83533i	−0.188917	−	0.0613828i
$895$	60.4344	+	30.7929i	2.02010	+	1.02929i
$896$	−32.4426	−	44.6534i	−1.08383	−	1.49176i
$897$	1.13891	−	2.30910i	0.0380272	−	0.0770986i
$898$	−22.7212	+	7.38256i	−0.758216	+	0.246359i
$899$	3.81487	+	7.48711i	0.127233	+	0.249709i
$900$	−1.74518	−	1.26795i	−0.0581727	−	0.0422649i
$901$	0.834942			0.0278160
$902$	−13.4004	+	4.41526i	−0.446185	+	0.147012i
$903$	6.37976	+	6.37976i	0.212305	+	0.212305i
$904$	3.70753	+	23.4084i	0.123311	+	0.778552i
$905$	−1.28470	−	2.52136i	−0.0427048	−	0.0838130i
$906$	6.41373	+	19.7394i	0.213082	+	0.655798i
$907$	−16.5132	−	22.7285i	−0.548313	−	0.754689i	0.441469	−	0.897277i	$-0.354458\pi$
$907$	−16.5132	−	22.7285i	−0.548313	−	0.754689i	−0.989782	+	0.142588i	$0.954458\pi$
$908$	2.21432	+	0.350714i	0.0734849	+	0.0116389i
$909$	−0.317738	−	0.977897i	−0.0105387	−	0.0324348i
$910$	69.4707	+	49.1040i	2.30293	+	1.62778i
$911$	−25.3093	−	18.3883i	−0.838534	−	0.609230i	0.0834269	−	0.996514i	$-0.473413\pi$
$911$	−25.3093	−	18.3883i	−0.838534	−	0.609230i	−0.921961	+	0.387283i	$0.873413\pi$
$912$	12.8442	−	12.8442i	0.425313	−	0.425313i
$913$	44.5568	+	22.4718i	1.47461	+	0.743708i
$914$		−	13.6623i		−	0.451909i
$915$	−49.2516	+	7.80069i	−1.62821	+	0.257883i
$916$	5.32336	−	2.71239i	0.175889	−	0.0896198i
$917$	20.4902	+	10.4403i	0.676645	+	0.344768i
$918$	−0.260448	+	1.64440i	−0.00859607	+	0.0542734i
$919$	−11.5663	−	15.9197i	−0.381537	−	0.525141i	0.574454	−	0.818537i	$-0.305215\pi$
$919$	−11.5663	−	15.9197i	−0.381537	−	0.525141i	−0.955991	+	0.293396i	$0.905215\pi$
$920$	−2.13979	−	6.58558i	−0.0705466	−	0.217120i
$921$	13.5435	−	6.90078i	0.446275	−	0.227388i
$922$	−32.9376	+	45.3347i	−1.08474	+	1.49302i
$923$	17.0213	−	54.8047i	0.560264	−	1.80392i
$924$	2.48289	−	2.50346i	0.0816811	−	0.0823577i
$925$	−73.4777	−	73.4777i	−2.41593	−	2.41593i
$926$	−14.3252	+	19.7169i	−0.470754	+	0.647937i
$927$	0.695892	+	0.226109i	0.0228561	+	0.00742639i
$928$	3.84042	−	7.53725i	0.126068	−	0.247422i
$929$	31.5777	+	5.00142i	1.03603	+	0.164091i	0.651208	−	0.758899i	$-0.274263\pi$
$929$	31.5777	+	5.00142i	1.03603	+	0.164091i	0.384823	+	0.922990i	$0.374263\pi$
$930$	7.63135	+	1.20869i	0.250242	+	0.0396344i
$931$	20.7054	−	40.6366i	0.678592	−	1.33181i
$932$	3.21208	+	1.04367i	0.105215	+	0.0341865i
$933$	−14.8469	+	20.4350i	−0.486066	+	0.669012i
$934$	−31.1853	−	31.1853i	−1.02041	−	1.02041i
$935$	2.18258	+	13.4217i	0.0713781	+	0.438937i
$936$	−2.80763	+	9.03991i	−0.0917703	+	0.295479i
$937$	32.7815	−	45.1198i	1.07092	−	1.47400i	0.201785	−	0.979430i	$-0.435326\pi$
$937$	32.7815	−	45.1198i	1.07092	−	1.47400i	0.869138	−	0.494570i	$-0.164674\pi$
$938$	−79.3323	+	40.4218i	−2.59029	+	1.31982i
$939$	3.80633	+	11.7147i	0.124215	+	0.382294i
$940$	1.93590	+	2.66454i	0.0631422	+	0.0869078i
$941$	−6.05571	+	38.2342i	−0.197410	+	1.24640i	0.667552	+	0.744563i	$0.267342\pi$
$941$	−6.05571	+	38.2342i	−0.197410	+	1.24640i	−0.864962	+	0.501837i	$0.832658\pi$
$942$	−13.0782	−	6.66370i	−0.426112	−	0.217115i
$943$	1.80461	−	0.919497i	0.0587663	−	0.0299429i
$944$	1.18796	−	0.188155i	0.0386649	−	0.00612392i
$945$		−	15.7313i		−	0.511741i
$946$	1.60552	−	10.4147i	0.0521999	−	0.338611i
$947$	32.7939	−	32.7939i	1.06566	−	1.06566i	0.0679723	−	0.997687i	$-0.478347\pi$
$947$	32.7939	−	32.7939i	1.06566	−	1.06566i	0.997687	−	0.0679723i	$-0.0216530\pi$
$948$	1.77302	+	1.28818i	0.0575851	+	0.0418380i
$949$	9.69138	+	6.85017i	0.314596	+	0.222366i
$950$	16.3986	+	50.4696i	0.532040	+	1.63745i
$951$	−19.4006	−	3.07276i	−0.629109	−	0.0996410i
$952$	−7.29567	−	10.0416i	−0.236454	−	0.325451i
$953$	−9.77009	−	30.0692i	−0.316484	−	0.974039i	−0.975139	−	0.221593i	$-0.928874\pi$
$953$	−9.77009	−	30.0692i	−0.316484	−	0.974039i	0.658655	−	0.752445i	$-0.271126\pi$
$954$	0.512178	+	1.00521i	0.0165824	+	0.0325447i
$955$	−2.37562	−	14.9991i	−0.0768732	−	0.485358i
$956$	−1.58681	−	1.58681i	−0.0513211	−	0.0513211i
$957$	−19.0296	−	6.09642i	−0.615140	−	0.197069i
$958$	3.24496			0.104840
$959$	50.8661	+	36.9564i	1.64255	+	1.19338i
$960$	11.3487	+	22.2731i	0.366278	+	0.718860i
$961$	27.6327	−	8.97842i	0.891379	−	0.289626i
$962$	28.7627	−	58.3152i	0.927348	−	1.88016i
$963$	−7.44279	−	10.2441i	−0.239841	−	0.330112i
$964$	−3.27066	−	1.66648i	−0.105341	−	0.0536738i
$965$	−38.0335	−	12.3578i	−1.22434	−	0.397813i
$966$	−2.68132	+	3.69052i	−0.0862700	+	0.118740i
$967$	4.46157	−	4.46157i	0.143475	−	0.143475i	−0.631721	−	0.775196i	$-0.717651\pi$
$967$	4.46157	−	4.46157i	0.143475	−	0.143475i	0.775196	+	0.631721i	$0.217651\pi$
$968$	28.5597	+	4.28220i	0.917945	+	0.137635i
$969$	3.21337	−	3.21337i	0.103228	−	0.103228i
$970$	−8.55820	−	54.0343i	−0.274787	−	1.73494i
$971$	3.10881	−	9.56794i	0.0997666	−	0.307050i	−0.888700	−	0.458489i	$-0.848391\pi$
$971$	3.10881	−	9.56794i	0.0997666	−	0.307050i	0.988467	+	0.151439i	$0.0483908\pi$
$972$	−0.237388	+	0.0771321i	−0.00761423	+	0.00247401i
$973$	12.1735	−	76.8604i	0.390264	−	2.46403i
$974$	22.1619	−	16.1015i	0.710112	−	0.515926i
$975$	−22.3187	−	21.7448i	−0.714771	−	0.696392i
$976$	−56.9696	−	18.5106i	−1.82355	−	0.592509i
$977$	4.18223	+	26.4056i	0.133801	+	0.844789i	0.959712	+	0.280987i	$0.0906618\pi$
$977$	4.18223	+	26.4056i	0.133801	+	0.844789i	−0.825910	+	0.563802i	$0.809338\pi$
$978$		−	18.6523i		−	0.596434i
$979$	6.70504	+	13.0263i	0.214294	+	0.416321i
$980$	−7.26236	−	7.26236i	−0.231988	−	0.231988i
$981$	6.94406	−	1.09983i	0.221707	−	0.0351149i
$982$	9.06093	+	17.7831i	0.289146	+	0.567481i
$983$	−12.2697	−	6.25173i	−0.391343	−	0.199399i	0.247236	−	0.968955i	$-0.420478\pi$
$983$	−12.2697	−	6.25173i	−0.391343	−	0.199399i	−0.638579	+	0.769556i	$0.720478\pi$
$984$	−6.02415	+	4.37680i	−0.192043	+	0.139527i
$985$	−2.06484	+	1.50020i	−0.0657913	+	0.0478002i
$986$	4.55391	−	8.93755i	0.145026	−	0.284630i
$987$	−4.70189	+	14.4709i	−0.149663	+	0.460615i
$988$	−2.95228	+	2.20426i	−0.0939245	+	0.0701269i
$989$			1.51270i			0.0481010i
$990$	−14.8199	+	10.8609i	−0.471006	+	0.345183i
$991$	23.1693			0.735998			0.367999	−	0.929826i	$-0.380043\pi$
$991$	23.1693			0.735998			0.367999	+	0.929826i	$0.380043\pi$
$992$	1.58426	+	1.15103i	0.0503002	+	0.0365452i
$993$	−15.3180	+	7.80491i	−0.486102	+	0.247681i
$994$	−46.1599	+	90.5939i	−1.46410	+	2.87346i
$995$	−1.13733	+	7.18083i	−0.0360558	+	0.227648i
$996$	−3.70938	−	0.587508i	−0.117536	−	0.0186159i
$997$	−0.163208	+	0.0530296i	−0.00516886	+	0.00167946i	−0.311600	−	0.950213i	$-0.600865\pi$
$997$	−0.163208	+	0.0530296i	−0.00516886	+	0.00167946i	0.306431	+	0.951893i	$0.400865\pi$
$998$	9.41342	−	28.9715i	0.297977	−	0.917078i
$999$	−11.8757	+	1.88093i	−0.375732	+	0.0595101i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	429.2.bj.b.73.11	✓	112
11.8	odd	10	inner	429.2.bj.b.151.4	yes	112
13.5	odd	4	inner	429.2.bj.b.304.4	yes	112
143.96	even	20	inner	429.2.bj.b.382.11	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
429.2.bj.b.73.11	✓	112	1.1	even	1	trivial
429.2.bj.b.151.4	yes	112	11.8	odd	10	inner
429.2.bj.b.304.4	yes	112	13.5	odd	4	inner
429.2.bj.b.382.11	yes	112	143.96	even	20	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(1.48140 - 0.234631i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(0.237388 - 0.0771321i) q^{4} +(3.64808 + 0.577798i) q^{5} +(-0.234631 + 1.48140i) q^{6} +(1.93361 - 3.79492i) q^{7} +(-2.33921 + 1.19189i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})\)	\(q+(1.48140 - 0.234631i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(0.237388 - 0.0771321i) q^{4} +(3.64808 + 0.577798i) q^{5} +(-0.234631 + 1.48140i) q^{6} +(1.93361 - 3.79492i) q^{7} +(-2.33921 + 1.19189i) q^{8} +(-0.809017 - 0.587785i) q^{9} +5.53984 q^{10} +(1.01187 - 3.15850i) q^{11} +0.249605i q^{12} +(-0.517609 + 3.56820i) q^{13} +(1.97405 - 6.07549i) q^{14} +(-1.67684 + 3.29098i) q^{15} +(-3.58953 + 2.60795i) q^{16} +(-0.898035 + 0.652461i) q^{17} +(-1.33639 - 0.680926i) q^{18} +(1.85861 + 3.64772i) q^{19} +(0.910577 - 0.144221i) q^{20} +(3.01167 + 3.01167i) q^{21} +(0.757909 - 4.91642i) q^{22} +0.714093i q^{23} +(-0.410697 - 2.59304i) q^{24} +(8.21933 + 2.67062i) q^{25} +(0.0704247 + 5.40739i) q^{26} +(0.809017 - 0.587785i) q^{27} +(0.166306 - 1.05001i) q^{28} +(-5.73001 + 1.86179i) q^{29} +(-1.71190 + 5.26870i) q^{30} +(-0.218181 - 1.37754i) q^{31} +(-0.992815 + 0.992815i) q^{32} +(2.69122 + 1.93838i) q^{33} +(-1.17726 + 1.17726i) q^{34} +(9.24665 - 12.7269i) q^{35} +(-0.237388 - 0.0771321i) q^{36} +(-10.7133 - 5.45868i) q^{37} +(3.60921 + 4.96766i) q^{38} +(-3.23361 - 1.59491i) q^{39} +(-9.22231 + 2.99651i) q^{40} +(-1.28764 - 2.52714i) q^{41} +(5.16812 + 3.75486i) q^{42} +2.11835 q^{43} +(-0.00341490 - 0.827839i) q^{44} +(-2.61173 - 2.61173i) q^{45} +(0.167548 + 1.05786i) q^{46} +(1.62187 + 3.18309i) q^{47} +(-1.37108 - 4.21975i) q^{48} +(-6.54809 - 9.01268i) q^{49} +(12.8027 + 2.02775i) q^{50} +(-0.343019 - 1.05570i) q^{51} +(0.152349 + 0.886974i) q^{52} +(-0.608525 - 0.442119i) q^{53} +(1.06057 - 1.06057i) q^{54} +(5.51637 - 10.9378i) q^{55} +11.1818i q^{56} +(-4.04353 + 0.640432i) q^{57} +(-8.05162 + 4.10250i) q^{58} +(-0.241537 - 0.123069i) q^{59} +(-0.144221 + 0.910577i) q^{60} +(7.93552 + 10.9223i) q^{61} +(-0.646428 - 1.98950i) q^{62} +(-3.79492 + 1.93361i) q^{63} +(3.97808 - 5.47536i) q^{64} +(-3.94998 + 12.7180i) q^{65} +(4.44159 + 2.24007i) q^{66} +(-9.85551 - 9.85551i) q^{67} +(-0.162857 + 0.224154i) q^{68} +(-0.679143 - 0.220667i) q^{69} +(10.7119 - 21.0233i) q^{70} +(-15.7204 - 2.48986i) q^{71} +(2.59304 + 0.410697i) q^{72} +(1.49434 - 2.93281i) q^{73} +(-17.1514 - 5.57284i) q^{74} +(-5.07982 + 6.99178i) q^{75} +(0.722568 + 0.722568i) q^{76} +(-10.0297 - 9.94728i) q^{77} +(-5.16450 - 1.60400i) q^{78} +(5.16086 - 7.10331i) q^{79} +(-14.6018 + 7.43997i) q^{80} +(0.309017 + 0.951057i) q^{81} +(-2.50046 - 3.44159i) q^{82} +(-2.35375 + 14.8610i) q^{83} +(0.947231 + 0.482638i) q^{84} +(-3.65309 + 1.86134i) q^{85} +(3.13813 - 0.497031i) q^{86} -6.02489i q^{87} +(1.39759 + 8.59445i) q^{88} +(-3.12353 + 3.12353i) q^{89} +(-4.48182 - 3.25624i) q^{90} +(12.5402 + 8.86380i) q^{91} +(0.0550795 + 0.169517i) q^{92} +(1.37754 + 0.218181i) q^{93} +(3.14949 + 4.33490i) q^{94} +(4.67269 + 14.3811i) q^{95} +(-0.637426 - 1.25102i) q^{96} +(-1.54485 - 9.75377i) q^{97} +(-11.8150 - 11.8150i) q^{98} +(-2.67514 + 1.96051i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9}+O(q^{10}) \) 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9	\( 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9} - 14 q^{11} + 10 q^{13} + 12 q^{14} + 4 q^{15} - 48 q^{16} - 2 q^{20} + 32 q^{22} + 30 q^{24} - 46 q^{26} + 28 q^{27} - 20 q^{29} - 24 q^{31} - 16 q^{33} - 16 q^{34} - 20 q^{35} + 12 q^{37} + 10 q^{39} - 40 q^{40} - 10 q^{41} + 28 q^{42} + 24 q^{44} - 4 q^{45} - 20 q^{46} - 62 q^{47} - 92 q^{48} - 90 q^{50} + 110 q^{52} + 68 q^{53} + 32 q^{55} - 30 q^{57} - 56 q^{58} + 16 q^{59} + 2 q^{60} + 20 q^{61} + 8 q^{66} + 12 q^{67} + 60 q^{68} - 196 q^{70} - 52 q^{71} + 30 q^{72} - 10 q^{73} - 120 q^{74} - 84 q^{78} + 40 q^{79} - 56 q^{80} - 28 q^{81} + 110 q^{83} - 30 q^{84} - 40 q^{85} + 18 q^{86} - 96 q^{89} - 44 q^{91} + 80 q^{92} + 24 q^{93} - 20 q^{94} + 100 q^{96} + 18 q^{97} + 6 q^{99}+O(q^{100}) \) 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9 - 14 * q^11 + 10 * q^13 + 12 * q^14 + 4 * q^15 - 48 * q^16 - 2 * q^20 + 32 * q^22 + 30 * q^24 - 46 * q^26 + 28 * q^27 - 20 * q^29 - 24 * q^31 - 16 * q^33 - 16 * q^34 - 20 * q^35 + 12 * q^37 + 10 * q^39 - 40 * q^40 - 10 * q^41 + 28 * q^42 + 24 * q^44 - 4 * q^45 - 20 * q^46 - 62 * q^47 - 92 * q^48 - 90 * q^50 + 110 * q^52 + 68 * q^53 + 32 * q^55 - 30 * q^57 - 56 * q^58 + 16 * q^59 + 2 * q^60 + 20 * q^61 + 8 * q^66 + 12 * q^67 + 60 * q^68 - 196 * q^70 - 52 * q^71 + 30 * q^72 - 10 * q^73 - 120 * q^74 - 84 * q^78 + 40 * q^79 - 56 * q^80 - 28 * q^81 + 110 * q^83 - 30 * q^84 - 40 * q^85 + 18 * q^86 - 96 * q^89 - 44 * q^91 + 80 * q^92 + 24 * q^93 - 20 * q^94 + 100 * q^96 + 18 * q^97 + 6 * q^99

Introduction

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