LMFDB - Embedded newform 170.2.o.b.3.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [170,2,Mod(3,170)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(170, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([12, 1]))

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

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

chi := DirichletCharacter("170.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 170 = 2 \cdot 5 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	170.o (of order $16$, 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:	$1.35745683436$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$5$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			3.2
Character	$\chi$	$=$	170.3
Dual form			170.2.o.b.57.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.382683 - 0.923880i) q^{2} +(-0.419918 - 0.628452i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(2.19553 + 0.423862i) q^{5} +(-0.741309 + 0.147456i) q^{6} +(-0.252926 - 1.27154i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(0.929430 - 2.24384i) q^{9} +O(q^{10})$	\(q+(0.382683 - 0.923880i) q^{2} +(-0.419918 - 0.628452i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(2.19553 + 0.423862i) q^{5} +(-0.741309 + 0.147456i) q^{6} +(-0.252926 - 1.27154i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(0.929430 - 2.24384i) q^{9} +(1.23179 - 1.86620i) q^{10} +(-0.546102 - 2.74544i) q^{11} +(-0.147456 + 0.741309i) q^{12} +4.10579i q^{13} +(-1.27154 - 0.252926i) q^{14} +(-0.655565 - 1.55777i) q^{15} +1.00000i q^{16} +(-3.27541 + 2.50434i) q^{17} +(-1.71736 - 1.71736i) q^{18} +(-1.17368 - 2.83351i) q^{19} +(-1.25276 - 1.85219i) q^{20} +(-0.692896 + 0.692896i) q^{21} +(-2.74544 - 0.546102i) q^{22} +(6.28321 + 4.19830i) q^{23} +(0.628452 + 0.419918i) q^{24} +(4.64068 + 1.86120i) q^{25} +(3.79325 + 1.57122i) q^{26} +(-4.02436 + 0.800495i) q^{27} +(-0.720272 + 1.07796i) q^{28} +(3.51604 + 5.26212i) q^{29} +(-1.69007 + 0.00952989i) q^{30} +(-0.355585 + 1.78765i) q^{31} +(0.923880 + 0.382683i) q^{32} +(-1.49606 + 1.49606i) q^{33} +(1.06027 + 3.98445i) q^{34} +(-0.0163463 - 2.89892i) q^{35} +(-2.24384 + 0.929430i) q^{36} +(0.284496 - 0.190094i) q^{37} -3.06697 q^{38} +(2.58029 - 1.72409i) q^{39} +(-2.19061 + 0.448594i) q^{40} +(-1.73241 + 2.59274i) q^{41} +(0.374993 + 0.905313i) q^{42} +(3.04488 + 7.35100i) q^{43} +(-1.55517 + 2.32747i) q^{44} +(2.99167 - 4.53247i) q^{45} +(6.28321 - 4.19830i) q^{46} -7.90940 q^{47} +(0.628452 - 0.419918i) q^{48} +(4.91430 - 2.03557i) q^{49} +(3.49544 - 3.57518i) q^{50} +(2.94926 + 1.00682i) q^{51} +(2.90323 - 2.90323i) q^{52} +(-10.3711 - 4.29587i) q^{53} +(-0.800495 + 4.02436i) q^{54} +(-0.0352940 - 6.25917i) q^{55} +(0.720272 + 1.07796i) q^{56} +(-1.28787 + 1.92744i) q^{57} +(6.20709 - 1.23467i) q^{58} +(-9.44117 - 3.91066i) q^{59} +(-0.637956 + 1.56506i) q^{60} +(5.15548 + 3.44478i) q^{61} +(1.51549 + 1.01262i) q^{62} +(-3.08822 - 0.614286i) q^{63} +(0.707107 - 0.707107i) q^{64} +(-1.74029 + 9.01437i) q^{65} +(0.809661 + 1.95470i) q^{66} +(-0.944522 - 0.944522i) q^{67} +(4.08690 + 0.545225i) q^{68} -5.71164i q^{69} +(-2.68451 - 1.09427i) q^{70} +(-7.94978 - 1.58131i) q^{71} +2.42872i q^{72} +(-0.349193 + 1.75551i) q^{73} +(-0.0667522 - 0.335586i) q^{74} +(-0.779030 - 3.69800i) q^{75} +(-1.17368 + 2.83351i) q^{76} +(-3.35283 + 1.38879i) q^{77} +(-0.605422 - 3.04366i) q^{78} +(16.2415 - 3.23064i) q^{79} +(-0.423862 + 2.19553i) q^{80} +(-2.95911 - 2.95911i) q^{81} +(1.73241 + 2.59274i) q^{82} +(1.37409 - 3.31735i) q^{83} +0.979904 q^{84} +(-8.25274 + 4.11003i) q^{85} +7.95666 q^{86} +(1.83054 - 4.41932i) q^{87} +(1.55517 + 2.32747i) q^{88} +(-7.01489 - 7.01489i) q^{89} +(-3.04259 - 4.49844i) q^{90} +(5.22070 - 1.03846i) q^{91} +(-1.47425 - 7.41155i) q^{92} +(1.27277 - 0.527197i) q^{93} +(-3.02679 + 7.30733i) q^{94} +(-1.37582 - 6.71852i) q^{95} +(-0.147456 - 0.741309i) q^{96} +(1.63062 - 8.19767i) q^{97} -5.31920i q^{98} +(-6.66790 - 1.32633i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q+O(q^{10}) $ 40 * q	$ 40 q + 8 q^{10} - 8 q^{15} - 16 q^{18} - 16 q^{20} - 8 q^{25} - 8 q^{26} + 24 q^{27} + 8 q^{28} - 8 q^{29} - 16 q^{31} + 32 q^{33} - 8 q^{34} - 32 q^{35} + 16 q^{37} + 32 q^{39} + 8 q^{40} - 56 q^{41} - 8 q^{42} - 48 q^{43} - 16 q^{44} - 24 q^{45} - 96 q^{47} - 16 q^{49} - 32 q^{51} - 16 q^{52} - 40 q^{53} + 24 q^{54} + 8 q^{55} - 8 q^{56} - 8 q^{57} + 16 q^{58} + 24 q^{61} - 24 q^{62} - 24 q^{63} + 16 q^{65} - 16 q^{67} + 24 q^{68} + 8 q^{70} + 24 q^{71} + 16 q^{73} - 32 q^{74} + 184 q^{75} + 40 q^{77} + 16 q^{78} + 104 q^{79} + 8 q^{80} + 48 q^{81} + 56 q^{82} + 16 q^{83} - 8 q^{85} + 96 q^{86} - 8 q^{87} + 16 q^{88} + 16 q^{89} + 40 q^{90} + 48 q^{91} + 8 q^{92} + 136 q^{93} + 8 q^{94} + 8 q^{95} + 144 q^{97} - 160 q^{99}+O(q^{100}) $ 40 * q + 8 * q^10 - 8 * q^15 - 16 * q^18 - 16 * q^20 - 8 * q^25 - 8 * q^26 + 24 * q^27 + 8 * q^28 - 8 * q^29 - 16 * q^31 + 32 * q^33 - 8 * q^34 - 32 * q^35 + 16 * q^37 + 32 * q^39 + 8 * q^40 - 56 * q^41 - 8 * q^42 - 48 * q^43 - 16 * q^44 - 24 * q^45 - 96 * q^47 - 16 * q^49 - 32 * q^51 - 16 * q^52 - 40 * q^53 + 24 * q^54 + 8 * q^55 - 8 * q^56 - 8 * q^57 + 16 * q^58 + 24 * q^61 - 24 * q^62 - 24 * q^63 + 16 * q^65 - 16 * q^67 + 24 * q^68 + 8 * q^70 + 24 * q^71 + 16 * q^73 - 32 * q^74 + 184 * q^75 + 40 * q^77 + 16 * q^78 + 104 * q^79 + 8 * q^80 + 48 * q^81 + 56 * q^82 + 16 * q^83 - 8 * q^85 + 96 * q^86 - 8 * q^87 + 16 * q^88 + 16 * q^89 + 40 * q^90 + 48 * q^91 + 8 * q^92 + 136 * q^93 + 8 * q^94 + 8 * q^95 + 144 * q^97 - 160 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/170\mathbb{Z}\right)^\times$.

$n$	$71$	$137$
$\chi(n)$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{3}{4}\right)$

Coefficient data

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

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

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

$2$	0.382683	−	0.923880i	0.270598	−	0.653281i
$2$	0.382683	−	0.923880i	0.270598	−	0.653281i
$3$	−0.419918	−	0.628452i	−0.242440	−	0.362837i	0.690217	−	0.723603i	$-0.257515\pi$
$3$	−0.419918	−	0.628452i	−0.242440	−	0.362837i	−0.932656	+	0.360766i	$0.882515\pi$
$4$	−0.707107	−	0.707107i	−0.353553	−	0.353553i
$5$	2.19553	+	0.423862i	0.981870	+	0.189557i
$5$	2.19553	+	0.423862i	0.981870	+	0.189557i
$6$	−0.741309	+	0.147456i	−0.302638	+	0.0601985i
$7$	−0.252926	−	1.27154i	−0.0955971	−	0.480599i	−0.998691	−	0.0511552i	$-0.983710\pi$
$7$	−0.252926	−	1.27154i	−0.0955971	−	0.480599i	0.903094	−	0.429444i	$-0.141290\pi$
$8$	−0.923880	+	0.382683i	−0.326641	+	0.135299i
$9$	0.929430	−	2.24384i	0.309810	−	0.747947i
$10$	1.23179	−	1.86620i	0.389526	−	0.590144i
$11$	−0.546102	−	2.74544i	−0.164656	−	0.827782i	−0.971504	−	0.237023i	$-0.923828\pi$
$11$	−0.546102	−	2.74544i	−0.164656	−	0.827782i	0.806848	−	0.590759i	$-0.201172\pi$
$12$	−0.147456	+	0.741309i	−0.0425668	+	0.213998i
$13$			4.10579i			1.13874i	0.822081	+	0.569370i	$0.192813\pi$
$13$			4.10579i			1.13874i	−0.822081	+	0.569370i	$0.807187\pi$
$14$	−1.27154	−	0.252926i	−0.339835	−	0.0675973i
$15$	−0.655565	−	1.55777i	−0.169266	−	0.402215i
$16$			1.00000i			0.250000i
$17$	−3.27541	+	2.50434i	−0.794402	+	0.607392i
$17$	−3.27541	+	2.50434i	−0.794402	+	0.607392i
$18$	−1.71736	−	1.71736i	−0.404786	−	0.404786i
$19$	−1.17368	−	2.83351i	−0.269260	−	0.650051i	0.730189	−	0.683245i	$-0.239432\pi$
$19$	−1.17368	−	2.83351i	−0.269260	−	0.650051i	−0.999449	+	0.0331943i	$0.989432\pi$
$20$	−1.25276	−	1.85219i	−0.280125	−	0.414162i
$21$	−0.692896	+	0.692896i	−0.151202	+	0.151202i
$22$	−2.74544	−	0.546102i	−0.585330	−	0.116429i
$23$	6.28321	+	4.19830i	1.31014	+	0.875407i	0.997230	−	0.0743761i	$-0.0236965\pi$
$23$	6.28321	+	4.19830i	1.31014	+	0.875407i	0.312909	+	0.949783i	$0.398697\pi$
$24$	0.628452	+	0.419918i	0.128282	+	0.0857154i
$25$	4.64068	+	1.86120i	0.928136	+	0.372240i
$26$	3.79325	+	1.57122i	0.743918	+	0.308141i
$27$	−4.02436	+	0.800495i	−0.774488	+	0.154055i
$28$	−0.720272	+	1.07796i	−0.136119	+	0.203716i
$29$	3.51604	+	5.26212i	0.652912	+	0.977151i	0.999238	+	0.0390371i	$0.0124290\pi$
$29$	3.51604	+	5.26212i	0.652912	+	0.977151i	−0.346326	+	0.938114i	$0.612571\pi$
$30$	−1.69007	+	0.00952989i	−0.308562	+	0.00173991i
$31$	−0.355585	+	1.78765i	−0.0638649	+	0.321071i	−0.999490	−	0.0319239i	$-0.989837\pi$
$31$	−0.355585	+	1.78765i	−0.0638649	+	0.321071i	0.935625	+	0.352995i	$0.114837\pi$
$32$	0.923880	+	0.382683i	0.163320	+	0.0676495i
$33$	−1.49606	+	1.49606i	−0.260431	+	0.260431i
$34$	1.06027	+	3.98445i	0.181834	+	0.683327i
$35$	−0.0163463	−	2.89892i	−0.00276303	−	0.490007i
$36$	−2.24384	+	0.929430i	−0.373974	+	0.154905i
$37$	0.284496	−	0.190094i	0.0467709	−	0.0312513i	−0.531965	−	0.846766i	$-0.678546\pi$
$37$	0.284496	−	0.190094i	0.0467709	−	0.0312513i	0.578736	+	0.815515i	$0.303546\pi$
$38$	−3.06697			−0.497527
$39$	2.58029	−	1.72409i	0.413177	−	0.276076i
$40$	−2.19061	+	0.448594i	−0.346366	+	0.0709290i
$41$	−1.73241	+	2.59274i	−0.270557	+	0.404918i	−0.941723	−	0.336390i	$-0.890794\pi$
$41$	−1.73241	+	2.59274i	−0.270557	+	0.404918i	0.671166	+	0.741308i	$0.265794\pi$
$42$	0.374993	+	0.905313i	0.0578627	+	0.139693i
$43$	3.04488	+	7.35100i	0.464340	+	1.12102i	0.966598	+	0.256299i	$0.0825030\pi$
$43$	3.04488	+	7.35100i	0.464340	+	1.12102i	−0.502257	+	0.864718i	$0.667497\pi$
$44$	−1.55517	+	2.32747i	−0.234450	+	0.350880i
$45$	2.99167	−	4.53247i	0.445972	−	0.675660i
$46$	6.28321	−	4.19830i	0.926408	−	0.619006i
$47$	−7.90940			−1.15370			−0.576852	−	0.816849i	$-0.695719\pi$
$47$	−7.90940			−1.15370			−0.576852	+	0.816849i	$0.695719\pi$
$48$	0.628452	−	0.419918i	0.0907092	−	0.0606099i
$49$	4.91430	−	2.03557i	0.702043	−	0.290796i
$50$	3.49544	−	3.57518i	0.494330	−	0.505607i
$51$	2.94926	+	1.00682i	0.412979	+	0.140982i
$52$	2.90323	−	2.90323i	0.402606	−	0.402606i
$53$	−10.3711	−	4.29587i	−1.42459	−	0.590083i	−0.468578	−	0.883422i	$-0.655234\pi$
$53$	−10.3711	−	4.29587i	−1.42459	−	0.590083i	−0.956009	+	0.293339i	$0.905234\pi$
$54$	−0.800495	+	4.02436i	−0.108934	+	0.547646i
$55$	−0.0352940	−	6.25917i	−0.00475904	−	0.843986i
$56$	0.720272	+	1.07796i	0.0962504	+	0.144049i
$57$	−1.28787	+	1.92744i	−0.170583	+	0.255296i
$58$	6.20709	−	1.23467i	0.815031	−	0.162120i
$59$	−9.44117	−	3.91066i	−1.22914	−	0.509125i	−0.328833	−	0.944388i	$-0.606655\pi$
$59$	−9.44117	−	3.91066i	−1.22914	−	0.509125i	−0.900303	+	0.435264i	$0.856655\pi$
$60$	−0.637956	+	1.56506i	−0.0823597	+	0.202049i
$61$	5.15548	+	3.44478i	0.660091	+	0.441059i	0.839972	−	0.542629i	$-0.182571\pi$
$61$	5.15548	+	3.44478i	0.660091	+	0.441059i	−0.179881	+	0.983688i	$0.557571\pi$
$62$	1.51549	+	1.01262i	0.192468	+	0.128603i
$63$	−3.08822	−	0.614286i	−0.389080	−	0.0773927i
$64$	0.707107	−	0.707107i	0.0883883	−	0.0883883i
$65$	−1.74029	+	9.01437i	−0.215856	+	1.11810i
$66$	0.809661	+	1.95470i	0.0996624	+	0.240606i
$67$	−0.944522	−	0.944522i	−0.115392	−	0.115392i	0.647053	−	0.762445i	$-0.276001\pi$
$67$	−0.944522	−	0.944522i	−0.115392	−	0.115392i	−0.762445	+	0.647053i	$0.776001\pi$
$68$	4.08690	+	0.545225i	0.495609	+	0.0661183i
$69$		−	5.71164i		−	0.687600i
$70$	−2.68451	−	1.09427i	−0.320860	−	0.130790i
$71$	−7.94978	−	1.58131i	−0.943465	−	0.187667i	−0.300690	−	0.953722i	$-0.597217\pi$
$71$	−7.94978	−	1.58131i	−0.943465	−	0.187667i	−0.642775	+	0.766055i	$0.722217\pi$
$72$			2.42872i			0.286227i
$73$	−0.349193	+	1.75551i	−0.0408700	+	0.205467i	−0.995825	−	0.0912835i	$-0.970903\pi$
$73$	−0.349193	+	1.75551i	−0.0408700	+	0.205467i	0.954955	+	0.296751i	$0.0959030\pi$
$74$	−0.0667522	−	0.335586i	−0.00775979	−	0.0390111i
$75$	−0.779030	−	3.69800i	−0.0899547	−	0.427008i
$76$	−1.17368	+	2.83351i	−0.134630	+	0.325025i
$77$	−3.35283	+	1.38879i	−0.382090	+	0.158267i
$78$	−0.605422	−	3.04366i	−0.0685505	−	0.344627i
$79$	16.2415	−	3.23064i	1.82732	−	0.363476i	0.842724	−	0.538346i	$-0.180951\pi$
$79$	16.2415	−	3.23064i	1.82732	−	0.363476i	0.984591	+	0.174870i	$0.0559506\pi$
$80$	−0.423862	+	2.19553i	−0.0473892	+	0.245467i
$81$	−2.95911	−	2.95911i	−0.328791	−	0.328791i
$82$	1.73241	+	2.59274i	0.191313	+	0.286320i
$83$	1.37409	−	3.31735i	0.150826	−	0.364127i	−0.830350	−	0.557243i	$-0.811859\pi$
$83$	1.37409	−	3.31735i	0.150826	−	0.364127i	0.981176	+	0.193116i	$0.0618593\pi$
$84$	0.979904			0.106916
$85$	−8.25274	+	4.11003i	−0.895135	+	0.445795i
$86$	7.95666			0.857989
$87$	1.83054	−	4.41932i	0.196255	−	0.473801i
$88$	1.55517	+	2.32747i	0.165781	+	0.248109i
$89$	−7.01489	−	7.01489i	−0.743576	−	0.743576i	0.229688	−	0.973264i	$-0.426229\pi$
$89$	−7.01489	−	7.01489i	−0.743576	−	0.743576i	−0.973264	+	0.229688i	$0.926229\pi$
$90$	−3.04259	−	4.49844i	−0.320717	−	0.474177i
$91$	5.22070	−	1.03846i	0.547278	−	0.108860i
$92$	−1.47425	−	7.41155i	−0.153701	−	0.772707i
$93$	1.27277	−	0.527197i	0.131980	−	0.0546678i
$94$	−3.02679	+	7.30733i	−0.312190	+	0.753693i
$95$	−1.37582	−	6.71852i	−0.141157	−	0.689305i
$96$	−0.147456	−	0.741309i	−0.0150496	−	0.0756596i
$97$	1.63062	−	8.19767i	0.165564	−	0.832347i	−0.805328	−	0.592830i	$-0.798011\pi$
$97$	1.63062	−	8.19767i	0.165564	−	0.832347i	0.970892	−	0.239517i	$-0.0769892\pi$
$98$		−	5.31920i		−	0.537321i
$99$	−6.66790	−	1.32633i	−0.670149	−	0.133301i
$100$	−1.96539	−	4.59753i	−0.196539	−	0.459753i
$101$			8.59165i			0.854901i	0.904039	+	0.427451i	$0.140588\pi$
$101$			8.59165i			0.854901i	−0.904039	+	0.427451i	$0.859412\pi$
$102$	2.05881	−	2.33947i	0.203853	−	0.231642i
$103$	−5.84771	−	5.84771i	−0.576192	−	0.576192i	0.357660	−	0.933852i	$-0.383575\pi$
$103$	−5.84771	−	5.84771i	−0.576192	−	0.576192i	−0.933852	+	0.357660i	$0.883575\pi$
$104$	−1.57122	−	3.79325i	−0.154071	−	0.371959i
$105$	−1.81497	+	1.22758i	−0.177123	+	0.119800i
$106$	−7.93773	+	7.93773i	−0.770981	+	0.770981i
$107$	2.56200	+	0.509613i	0.247678	+	0.0492661i	0.317368	−	0.948303i	$-0.397201\pi$
$107$	2.56200	+	0.509613i	0.247678	+	0.0492661i	−0.0696901	+	0.997569i	$0.522201\pi$
$108$	3.41169	+	2.27962i	0.328290	+	0.219356i
$109$	−0.639385	−	0.427223i	−0.0612419	−	0.0409206i	0.524572	−	0.851366i	$-0.324225\pi$
$109$	−0.639385	−	0.427223i	−0.0612419	−	0.0409206i	−0.585814	+	0.810445i	$0.699225\pi$
$110$	−5.79622	−	2.36267i	−0.552648	−	0.225272i
$111$	−0.238930	−	0.0989681i	−0.0226782	−	0.00939364i
$112$	1.27154	−	0.252926i	0.120150	−	0.0238993i
$113$	9.27509	−	13.8811i	0.872527	−	1.30583i	−0.0785617	−	0.996909i	$-0.525033\pi$
$113$	9.27509	−	13.8811i	0.872527	−	1.30583i	0.951088	−	0.308919i	$-0.0999672\pi$
$114$	1.28787	+	1.92744i	0.120620	+	0.180521i
$115$	12.0155	+	11.8807i	1.12045	+	1.10788i
$116$	1.23467	−	6.20709i	0.114636	−	0.576314i
$117$	9.21274	+	3.81604i	0.851718	+	0.352793i
$118$	−7.22596	+	7.22596i	−0.665203	+	0.665203i
$119$	4.01282	+	3.53141i	0.367854	+	0.323724i
$120$	1.20180	+	1.18832i	0.109708	+	0.108478i
$121$	2.92345	−	1.21093i	0.265768	−	0.110085i
$122$	5.15548	−	3.44478i	0.466755	−	0.311876i
$123$	2.35688			0.212513
$124$	1.51549	−	1.01262i	0.136095	−	0.0909360i
$125$	9.39985	+	6.05333i	0.840748	+	0.541426i
$126$	−1.74934	+	2.61807i	−0.155843	+	0.233236i
$127$	−2.90927	−	7.02360i	−0.258156	−	0.623244i	0.740661	−	0.671879i	$-0.234513\pi$
$127$	−2.90927	−	7.02360i	−0.258156	−	0.623244i	−0.998817	+	0.0486358i	$0.984513\pi$
$128$	−0.382683	−	0.923880i	−0.0338248	−	0.0816602i
$129$	3.34115	−	5.00038i	0.294172	−	0.440259i
$130$	7.66221	+	5.05747i	0.672021	+	0.443569i
$131$	−9.82728	+	6.56638i	−0.858613	+	0.573707i	−0.905094	−	0.425212i	$-0.860200\pi$
$131$	−9.82728	+	6.56638i	−0.858613	+	0.573707i	0.0464803	+	0.998919i	$0.485200\pi$
$132$	2.11575			0.184152
$133$	−3.30608	+	2.20905i	−0.286673	+	0.191549i
$134$	−1.23408	+	0.511172i	−0.106608	+	0.0441585i
$135$	−9.17489	+	0.0517351i	−0.789649	+	0.00445265i
$136$	2.06771	−	3.56715i	0.177305	−	0.305881i
$137$	−12.3321	+	12.3321i	−1.05360	+	1.05360i	−0.0551204	+	0.998480i	$0.517554\pi$
$137$	−12.3321	+	12.3321i	−1.05360	+	1.05360i	−0.998480	+	0.0551204i	$0.982446\pi$
$138$	−5.27686	−	2.18575i	−0.449196	−	0.186063i
$139$	−1.16771	+	5.87046i	−0.0990436	+	0.497926i	0.899139	+	0.437663i	$0.144194\pi$
$139$	−1.16771	+	5.87046i	−0.0990436	+	0.497926i	−0.998183	+	0.0602625i	$0.980806\pi$
$140$	−2.03829	+	2.06140i	−0.172267	+	0.174220i
$141$	3.32130	+	4.97067i	0.279704	+	0.418606i
$142$	−4.50319	+	6.73950i	−0.377899	+	0.565566i
$143$	11.2722	−	2.24218i	0.942629	−	0.187501i
$144$	2.24384	+	0.929430i	0.186987	+	0.0774525i
$145$	5.48914	+	13.0434i	0.455848	+	1.08320i
$146$	1.48825	+	0.994418i	0.123169	+	0.0822986i
$147$	−3.34286	−	2.23363i	−0.275715	−	0.184227i
$148$	−0.335586	−	0.0667522i	−0.0275850	−	0.00548700i
$149$	1.51576	−	1.51576i	0.124176	−	0.124176i	−0.642288	−	0.766464i	$-0.722015\pi$
$149$	1.51576	−	1.51576i	0.124176	−	0.124176i	0.766464	+	0.642288i	$0.222015\pi$
$150$	−3.71463	−	0.695432i	−0.303298	−	0.0567818i
$151$	−8.21780	−	19.8395i	−0.668755	−	1.61452i	−0.783696	−	0.621145i	$-0.786668\pi$
$151$	−8.21780	−	19.8395i	−0.668755	−	1.61452i	0.114941	−	0.993372i	$-0.463332\pi$
$152$	2.16867	+	2.16867i	0.175903	+	0.175903i
$153$	2.57509	+	9.67710i	0.208183	+	0.782347i
$154$			3.62908i			0.292439i
$155$	−1.53841	+	3.77411i	−0.123568	+	0.303144i
$156$	−3.04366	−	0.605422i	−0.243688	−	0.0484725i
$157$			6.23116i			0.497301i	0.968593	+	0.248650i	$0.0799870\pi$
$157$			6.23116i			0.497301i	−0.968593	+	0.248650i	$0.920013\pi$
$158$	3.23064	−	16.2415i	0.257016	−	1.29211i
$159$	1.65529	+	8.32168i	0.131273	+	0.659952i
$160$	1.86620	+	1.23179i	0.147536	+	0.0973815i
$161$	3.74915	−	9.05124i	0.295474	−	0.713338i
$162$	−3.86627	+	1.60146i	−0.303763	+	0.125823i
$163$	2.49725	+	12.5545i	0.195600	+	0.983347i	0.946444	+	0.322868i	$0.104647\pi$
$163$	2.49725	+	12.5545i	0.195600	+	0.983347i	−0.750844	+	0.660479i	$0.770353\pi$
$164$	3.05834	−	0.608342i	0.238816	−	0.0475035i
$165$	−3.91876	+	2.65052i	−0.305075	+	0.206342i
$166$	−2.53899	−	2.53899i	−0.197064	−	0.197064i
$167$	7.47633	+	11.1891i	0.578536	+	0.865840i	0.999143	−	0.0414034i	$-0.0131829\pi$
$167$	7.47633	+	11.1891i	0.578536	+	0.865840i	−0.420607	+	0.907243i	$0.638183\pi$
$168$	0.374993	−	0.905313i	0.0289313	−	0.0698464i
$169$	−3.85750			−0.296731
$170$	0.638985	+	9.19737i	0.0490079	+	0.705406i
$171$	−7.44879			−0.569623
$172$	3.04488	−	7.35100i	0.232170	−	0.560508i
$173$	−1.96534	−	2.94134i	−0.149422	−	0.223626i	0.749206	−	0.662337i	$-0.230435\pi$
$173$	−1.96534	−	2.94134i	−0.149422	−	0.223626i	−0.898628	+	0.438711i	$0.855435\pi$
$174$	−3.38240	−	3.38240i	−0.256419	−	0.256419i
$175$	1.19285	−	6.37158i	0.0901712	−	0.481646i
$176$	2.74544	−	0.546102i	0.206945	−	0.0411640i
$177$	1.50686	+	7.57548i	0.113262	+	0.569408i
$178$	−9.16539	+	3.79643i	−0.686975	+	0.284554i
$179$	−9.22984	+	22.2828i	−0.689870	+	1.66549i	0.0551713	+	0.998477i	$0.482429\pi$
$179$	−9.22984	+	22.2828i	−0.689870	+	1.66549i	−0.745042	+	0.667018i	$0.767571\pi$
$180$	−5.32037	+	1.08951i	−0.396557	+	0.0812072i
$181$	−4.18088	−	21.0187i	−0.310763	−	1.56231i	−0.748456	−	0.663185i	$-0.769204\pi$
$181$	−4.18088	−	21.0187i	−0.310763	−	1.56231i	0.437693	−	0.899125i	$-0.355796\pi$
$182$	1.03846	−	5.22070i	0.0769758	−	0.386984i
$183$		−	4.68649i		−	0.346436i
$184$	−7.41155	−	1.47425i	−0.546387	−	0.108683i
$185$	0.705193	−	0.296770i	0.0518468	−	0.0218190i
$186$		−	1.37763i		−	0.101013i
$187$	8.66423	+	7.62481i	0.633591	+	0.557581i
$188$	5.59279	+	5.59279i	0.407896	+	0.407896i
$189$	2.03573	+	4.91469i	0.148078	+	0.357491i
$190$	−6.73361	−	1.29997i	−0.488507	−	0.0943098i
$191$	−0.290508	+	0.290508i	−0.0210205	+	0.0210205i	−0.717539	−	0.696518i	$-0.754731\pi$
$191$	−0.290508	+	0.290508i	−0.0210205	+	0.0210205i	0.696518	+	0.717539i	$0.254731\pi$
$192$	−0.741309	−	0.147456i	−0.0534994	−	0.0106417i
$193$	−3.43259	−	2.29358i	−0.247083	−	0.165096i	0.425862	−	0.904788i	$-0.359971\pi$
$193$	−3.43259	−	2.29358i	−0.247083	−	0.165096i	−0.672945	+	0.739692i	$0.734971\pi$
$194$	−6.94965	−	4.64361i	−0.498956	−	0.333391i
$195$	6.39588	−	2.69161i	0.458018	−	0.192750i
$196$	−4.91430	−	2.03557i	−0.351022	−	0.145398i
$197$	16.3979	−	3.26175i	1.16830	−	0.232390i	0.427440	−	0.904044i	$-0.359416\pi$
$197$	16.3979	−	3.26175i	1.16830	−	0.232390i	0.740865	+	0.671654i	$0.234416\pi$
$198$	−3.77706	+	5.65277i	−0.268424	+	0.401725i
$199$	6.11854	+	9.15704i	0.433732	+	0.649125i	0.982373	−	0.186933i	$-0.0598547\pi$
$199$	6.11854	+	9.15704i	0.433732	+	0.649125i	−0.548641	+	0.836058i	$0.684855\pi$
$200$	−4.99968	+	0.0563859i	−0.353531	+	0.00398708i
$201$	−0.196965	+	0.990208i	−0.0138928	+	0.0698439i
$202$	7.93765	+	3.28788i	0.558491	+	0.231335i
$203$	5.80173	−	5.80173i	0.407201	−	0.407201i
$204$	−1.37351	−	2.79737i	−0.0961652	−	0.195855i
$205$	−4.90252	+	4.95812i	−0.342407	+	0.346290i
$206$	−7.64040	+	3.16476i	−0.532332	+	0.220499i
$207$	15.2601	−	10.1965i	1.06065	−	0.708705i
$208$	−4.10579			−0.284685
$209$	−7.13828	+	4.76965i	−0.493765	+	0.329923i
$210$	0.439579	+	2.14658i	0.0303339	+	0.148128i
$211$	−4.18558	+	6.26416i	−0.288147	+	0.431243i	−0.947099	−	0.320943i	$-0.896000\pi$
$211$	−4.18558	+	6.26416i	−0.288147	+	0.431243i	0.658951	+	0.752186i	$0.271000\pi$
$212$	4.29587	+	10.3711i	0.295042	+	0.712293i
$213$	2.34448	+	5.66007i	0.160641	+	0.387822i
$214$	1.45125	−	2.17196i	0.0992057	−	0.148472i
$215$	3.56932	+	17.4299i	0.243425	+	1.18871i
$216$	3.41169	−	2.27962i	0.232136	−	0.155108i
$217$	2.36301			0.160411
$218$	−0.639385	+	0.427223i	−0.0433046	+	0.0289352i
$219$	1.24989	−	0.517720i	0.0844596	−	0.0349843i
$220$	−4.40094	+	4.45085i	−0.296711	+	0.300077i
$221$	−10.2823	−	13.4481i	−0.691662	−	0.904619i
$222$	−0.182869	+	0.182869i	−0.0122734	+	0.0122734i
$223$	−11.7761	−	4.87783i	−0.788587	−	0.326644i	−0.0482119	−	0.998837i	$-0.515352\pi$
$223$	−11.7761	−	4.87783i	−0.788587	−	0.326644i	−0.740376	+	0.672194i	$0.765352\pi$
$224$	0.252926	−	1.27154i	0.0168993	−	0.0849587i
$225$	8.48943	−	8.68310i	0.565962	−	0.578873i
$226$	−9.27509	−	13.8811i	−0.616969	−	0.923360i
$227$	3.63834	−	5.44517i	0.241485	−	0.361408i	−0.690853	−	0.722995i	$-0.742765\pi$
$227$	3.63834	−	5.44517i	0.241485	−	0.361408i	0.932338	+	0.361587i	$0.117765\pi$
$228$	2.27357	−	0.452241i	0.150571	−	0.0299504i
$229$	0.274012	+	0.113500i	0.0181072	+	0.00750026i	0.391719	−	0.920085i	$-0.371881\pi$
$229$	0.274012	+	0.113500i	0.0181072	+	0.00750026i	−0.373611	+	0.927585i	$0.621881\pi$
$230$	15.5745	−	6.55428i	1.02695	−	0.432176i
$231$	2.28070	+	1.52391i	0.150059	+	0.100266i
$232$	−5.26212	−	3.51604i	−0.345475	−	0.230839i
$233$	−23.4135	−	4.65723i	−1.53387	−	0.305105i	−0.645328	−	0.763905i	$-0.723279\pi$
$233$	−23.4135	−	4.65723i	−1.53387	−	0.305105i	−0.888539	+	0.458800i	$0.848279\pi$
$234$	7.05113	−	7.05113i	0.460947	−	0.460947i
$235$	−17.3653	−	3.35249i	−1.13279	−	0.218693i
$236$	3.91066	+	9.44117i	0.254562	+	0.614568i
$237$	−8.85042	−	8.85042i	−0.574896	−	0.574896i
$238$	4.79824	−	2.35595i	0.311024	−	0.152713i
$239$		−	28.2610i		−	1.82805i	−0.405653	−	0.914027i	$-0.632956\pi$
$239$		−	28.2610i		−	1.82805i	0.405653	−	0.914027i	$-0.367044\pi$
$240$	1.55777	−	0.655565i	0.100554	−	0.0423165i
$241$	16.8195	+	3.34561i	1.08344	+	0.215510i	0.704352	−	0.709851i	$-0.251238\pi$
$241$	16.8195	+	3.34561i	1.08344	+	0.215510i	0.379088	+	0.925360i	$0.376238\pi$
$242$		−	3.16432i		−	0.203410i
$243$	−3.01856	+	15.1753i	−0.193641	+	0.973497i
$244$	−1.20965	−	6.08130i	−0.0774397	−	0.389315i
$245$	11.6523	−	2.38616i	0.744437	−	0.152446i
$246$	0.901939	−	2.17747i	0.0575056	−	0.138831i
$247$	11.6338	−	4.81887i	0.740240	−	0.306617i
$248$	−0.355585	−	1.78765i	−0.0225797	−	0.113516i
$249$	−2.66180	+	0.529466i	−0.168685	+	0.0335535i
$250$	9.18971	−	6.36782i	0.581209	−	0.402736i
$251$	−0.719025	−	0.719025i	−0.0453845	−	0.0453845i	0.684050	−	0.729435i	$-0.260217\pi$
$251$	−0.719025	−	0.719025i	−0.0453845	−	0.0453845i	−0.729435	+	0.684050i	$0.760217\pi$
$252$	1.74934	+	2.61807i	0.110198	+	0.164923i
$253$	8.09493	−	19.5429i	0.508924	−	1.22865i
$254$	−7.60229			−0.477010
$255$	6.04843	+	3.46057i	0.378767	+	0.216709i
$256$	−1.00000			−0.0625000
$257$	10.4432	−	25.2120i	0.651426	−	1.57268i	−0.159284	−	0.987233i	$-0.550918\pi$
$257$	10.4432	−	25.2120i	0.651426	−	1.57268i	0.810710	−	0.585449i	$-0.199082\pi$
$258$	−3.34115	−	5.00038i	−0.208011	−	0.311310i
$259$	−0.313670	−	0.313670i	−0.0194905	−	0.0194905i
$260$	7.60469	−	5.14355i	0.471623	−	0.318990i
$261$	15.0753	−	2.99866i	0.933136	−	0.185612i
$262$	2.30581	+	11.5921i	0.142453	+	0.716160i
$263$	24.3429	−	10.0832i	1.50105	−	0.621755i	0.527361	−	0.849641i	$-0.323182\pi$
$263$	24.3429	−	10.0832i	1.50105	−	0.621755i	0.973688	+	0.227887i	$0.0731816\pi$
$264$	0.809661	−	1.95470i	0.0498312	−	0.120303i
$265$	−20.9493	−	13.8276i	−1.28690	−	0.849425i
$266$	0.775715	+	3.89978i	0.0475622	+	0.239111i
$267$	−1.46284	+	7.35419i	−0.0895244	+	0.450069i
$268$			1.33576i			0.0815943i
$269$	−24.6323	−	4.89968i	−1.50186	−	0.298739i	−0.625435	−	0.780276i	$-0.715078\pi$
$269$	−24.6323	−	4.89968i	−1.50186	−	0.298739i	−0.876425	+	0.481538i	$0.840078\pi$
$270$	−3.46328	+	8.49629i	−0.210769	+	0.517068i
$271$			12.6573i			0.768876i	0.923151	+	0.384438i	$0.125605\pi$
$271$			12.6573i			0.768876i	−0.923151	+	0.384438i	$0.874395\pi$
$272$	−2.50434	−	3.27541i	−0.151848	−	0.198601i
$273$	−2.84489	−	2.84489i	−0.172180	−	0.172180i
$274$	6.67407	+	16.1126i	0.403195	+	0.973400i
$275$	2.57553	−	13.7571i	0.155311	−	0.829586i
$276$	−4.03874	+	4.03874i	−0.243103	+	0.243103i
$277$	6.94601	+	1.38165i	0.417346	+	0.0830152i	0.399296	−	0.916822i	$-0.369254\pi$
$277$	6.94601	+	1.38165i	0.417346	+	0.0830152i	0.0180492	+	0.999837i	$0.494254\pi$
$278$	4.97673	+	3.32535i	0.298485	+	0.199441i
$279$	3.68070	+	2.45937i	0.220358	+	0.147238i
$280$	1.12447	+	2.67200i	0.0671999	+	0.159682i
$281$	−6.21486	−	2.57428i	−0.370748	−	0.153569i	0.189527	−	0.981875i	$-0.439304\pi$
$281$	−6.21486	−	2.57428i	−0.370748	−	0.153569i	−0.560275	+	0.828307i	$0.689304\pi$
$282$	5.86331	−	1.16628i	0.349155	−	0.0694512i
$283$	−8.73558	+	13.0737i	−0.519276	+	0.777152i	−0.994723	−	0.102593i	$-0.967286\pi$
$283$	−8.73558	+	13.0737i	−0.519276	+	0.777152i	0.475447	+	0.879744i	$0.342286\pi$
$284$	4.50319	+	6.73950i	0.267215	+	0.399915i
$285$	−3.64453	+	3.68587i	−0.215883	+	0.218332i
$286$	2.24218	−	11.2722i	0.132583	−	0.666539i
$287$	3.73495	+	1.54707i	0.220467	+	0.0913206i
$288$	1.71736	−	1.71736i	0.101197	−	0.101197i
$289$	4.45656	−	16.4055i	0.262150	−	0.965027i
$290$	14.1512	−	0.0797952i	0.830986	−	0.00468573i
$291$	−5.83656	+	2.41758i	−0.342145	+	0.141721i
$292$	1.48825	−	0.994418i	0.0870933	−	0.0581939i
$293$	−16.7222			−0.976919			−0.488460	−	0.872586i	$-0.662441\pi$
$293$	−16.7222			−0.976919			−0.488460	+	0.872586i	$0.662441\pi$
$294$	−3.34286	+	2.23363i	−0.194960	+	0.130268i
$295$	−19.0708	−	12.5877i	−1.11034	−	0.732885i
$296$	−0.190094	+	0.284496i	−0.0110490	+	0.0165360i
$297$	4.39542	+	10.6115i	0.255048	+	0.615741i
$298$	−0.820325	−	1.98044i	−0.0475202	−	0.114724i
$299$	−17.2374	+	25.7975i	−0.996862	+	1.49191i
$300$	−2.06402	+	3.16574i	−0.119166	+	0.182774i
$301$	8.57700	−	5.73096i	0.494370	−	0.330327i
$302$	−21.4741			−1.23570
$303$	5.39944	−	3.60779i	0.310190	−	0.207262i
$304$	2.83351	−	1.17368i	0.162513	−	0.0673150i
$305$	9.85888	+	9.74832i	0.564518	+	0.558187i
$306$	9.92592	+	1.32420i	0.567427	+	0.0756993i
$307$	−12.0277	+	12.0277i	−0.686454	+	0.686454i	−0.961446	−	0.274992i	$-0.911325\pi$
$307$	−12.0277	+	12.0277i	−0.686454	+	0.686454i	0.274992	+	0.961446i	$0.411325\pi$
$308$	3.35283	+	1.38879i	0.191045	+	0.0791335i
$309$	−1.21944	+	6.13056i	−0.0693718	+	0.348756i
$310$	2.89810	+	2.86560i	0.164601	+	0.162755i
$311$	10.9607	+	16.4038i	0.621523	+	0.930174i	0.999990	+	0.00455961i	$0.00145137\pi$
$311$	10.9607	+	16.4038i	0.621523	+	0.930174i	−0.378467	+	0.925615i	$0.623549\pi$
$312$	−1.72409	+	2.58029i	−0.0976076	+	0.146080i
$313$	−1.09899	+	0.218603i	−0.0621187	+	0.0123562i	−0.226052	−	0.974115i	$-0.572582\pi$
$313$	−1.09899	+	0.218603i	−0.0621187	+	0.0123562i	0.163933	+	0.986471i	$0.447582\pi$
$314$	5.75684	+	2.38456i	0.324877	+	0.134569i
$315$	−6.51991	−	2.65766i	−0.367355	−	0.149742i
$316$	−13.7689	−	9.20009i	−0.774562	−	0.517546i
$317$	−14.3408	−	9.58222i	−0.805460	−	0.538191i	0.0833213	−	0.996523i	$-0.473447\pi$
$317$	−14.3408	−	9.58222i	−0.805460	−	0.538191i	−0.888781	+	0.458332i	$0.848447\pi$
$318$	8.32168	+	1.65529i	0.466657	+	0.0928238i
$319$	12.5267	−	12.5267i	0.701362	−	0.701362i
$320$	1.85219	−	1.25276i	0.103540	−	0.0700312i
$321$	−0.755562	−	1.82409i	−0.0421713	−	0.101811i
$322$	−6.92752	−	6.92752i	−0.386056	−	0.386056i
$323$	10.9403	+	6.34160i	0.608736	+	0.352856i
$324$			4.18482i			0.232490i
$325$	−7.64170	+	19.0537i	−0.423885	+	1.05691i
$326$	12.5545	+	2.49725i	0.695331	+	0.138310i
$327$			0.581221i			0.0321416i
$328$	0.608342	−	3.05834i	0.0335901	−	0.168869i
$329$	2.00049	+	10.0572i	0.110291	+	0.554469i
$330$	0.949113	+	4.63477i	0.0522469	+	0.255136i
$331$	−12.2357	+	29.5396i	−0.672536	+	1.62364i	0.104751	+	0.994498i	$0.466595\pi$
$331$	−12.2357	+	29.5396i	−0.672536	+	1.62364i	−0.777287	+	0.629146i	$0.783405\pi$
$332$	−3.31735	+	1.37409i	−0.182063	+	0.0754131i
$333$	−0.162122	−	0.815044i	−0.00888425	−	0.0446641i
$334$	13.1985	−	2.62534i	0.722188	−	0.143652i
$335$	−1.67338	−	2.47407i	−0.0914263	−	0.135173i
$336$	−0.692896	−	0.692896i	−0.0378006	−	0.0378006i
$337$	−10.4833	−	15.6894i	−0.571064	−	0.854657i	0.427723	−	0.903910i	$-0.359316\pi$
$337$	−10.4833	−	15.6894i	−0.571064	−	0.854657i	−0.998786	+	0.0492529i	$0.984316\pi$
$338$	−1.47620	+	3.56387i	−0.0802948	+	0.193849i
$339$	−12.6184			−0.685338
$340$	8.74180	+	2.92934i	0.474090	+	0.158866i
$341$	5.10206			0.276292
$342$	−2.85053	+	6.88179i	−0.154139	+	0.372124i
$343$	−8.87318	−	13.2797i	−0.479107	−	0.717034i
$344$	−5.62621	−	5.62621i	−0.303345	−	0.303345i
$345$	2.42095	−	12.5401i	0.130339	−	0.675134i
$346$	−3.46954	+	0.690135i	−0.186524	+	0.0371019i
$347$	1.30424	+	6.55684i	0.0700151	+	0.351990i	0.999873	−	0.0159288i	$-0.00507052\pi$
$347$	1.30424	+	6.55684i	0.0700151	+	0.351990i	−0.929858	+	0.367919i	$0.880071\pi$
$348$	−4.41932	+	1.83054i	−0.236900	+	0.0981273i
$349$	8.78644	−	21.2123i	0.470327	−	1.13547i	−0.493692	−	0.869637i	$-0.664353\pi$
$349$	8.78644	−	21.2123i	0.470327	−	1.13547i	0.964019	−	0.265833i	$-0.0856471\pi$
$350$	−5.43009	−	3.54035i	−0.290250	−	0.189240i
$351$	−3.28666	−	16.5232i	−0.175429	−	0.881941i
$352$	0.546102	−	2.74544i	0.0291074	−	0.146333i
$353$			12.0235i			0.639946i	0.947427	+	0.319973i	$0.103674\pi$
$353$			12.0235i			0.639946i	−0.947427	+	0.319973i	$0.896326\pi$
$354$	7.57548	+	1.50686i	0.402632	+	0.0800885i
$355$	−16.7837	−	6.84142i	−0.890786	−	0.363105i
$356$			9.92055i			0.525788i
$357$	0.534268	−	4.00477i	0.0282765	−	0.211955i
$358$	17.0545	+	17.0545i	0.901359	+	0.901359i
$359$	9.42715	+	22.7592i	0.497546	+	1.20118i	0.950801	+	0.309802i	$0.100263\pi$
$359$	9.42715	+	22.7592i	0.497546	+	1.20118i	−0.453255	+	0.891381i	$0.649737\pi$
$360$	−1.02944	+	5.33232i	−0.0542563	+	0.281038i
$361$	6.78379	−	6.78379i	0.357041	−	0.357041i
$362$	−21.0187	−	4.18088i	−1.10472	−	0.219742i
$363$	−1.98862	−	1.32876i	−0.104376	−	0.0697416i
$364$	−4.42589	−	2.95729i	−0.231980	−	0.155004i
$365$	−1.51076	+	3.70627i	−0.0790767	+	0.193995i
$366$	−4.32976	−	1.79344i	−0.226320	−	0.0937448i
$367$	−12.6970	+	2.52559i	−0.662777	+	0.131835i	−0.515005	−	0.857187i	$-0.672210\pi$
$367$	−12.6970	+	2.52559i	−0.662777	+	0.131835i	−0.147772	+	0.989022i	$0.547210\pi$
$368$	−4.19830	+	6.28321i	−0.218852	+	0.327535i
$369$	4.20754	+	6.29703i	0.219036	+	0.327810i
$370$	−0.00431412	−	0.765082i	−0.000224281	−	0.0397747i
$371$	−2.83926	+	14.2739i	−0.147407	+	0.741065i
$372$	−1.27277	−	0.527197i	−0.0659898	−	0.0273339i
$373$	6.33184	−	6.33184i	0.327850	−	0.327850i	−0.523918	−	0.851768i	$-0.675530\pi$
$373$	6.33184	−	6.33184i	0.327850	−	0.327850i	0.851768	+	0.523918i	$0.175530\pi$
$374$	10.3601	−	5.08681i	0.535706	−	0.263033i
$375$	−0.142942	−	8.44925i	−0.00738151	−	0.436318i
$376$	7.30733	−	3.02679i	0.376847	−	0.156095i
$377$	−21.6052	+	14.4361i	−1.11272	+	0.743497i
$378$	5.31962			0.273612
$379$	−4.19895	+	2.80565i	−0.215686	+	0.144117i	−0.658720	−	0.752388i	$-0.728902\pi$
$379$	−4.19895	+	2.80565i	−0.215686	+	0.144117i	0.443035	+	0.896505i	$0.353902\pi$
$380$	−3.77786	+	5.72356i	−0.193800	+	0.293613i
$381$	−3.19234	+	4.77767i	−0.163548	+	0.244767i
$382$	0.157222	+	0.379568i	0.00804418	+	0.0194204i
$383$	−2.69474	−	6.50569i	−0.137695	−	0.332425i	0.839958	−	0.542652i	$-0.182580\pi$
$383$	−2.69474	−	6.50569i	−0.137695	−	0.332425i	−0.977653	+	0.210227i	$0.932580\pi$
$384$	−0.419918	+	0.628452i	−0.0214289	+	0.0320705i
$385$	−7.94988	+	1.62798i	−0.405164	+	0.0829697i
$386$	−3.43259	+	2.29358i	−0.174714	+	0.116740i
$387$	19.3245			0.982319
$388$	−6.94965	+	4.64361i	−0.352815	+	0.235743i
$389$	−9.59769	+	3.97549i	−0.486622	+	0.201565i	−0.612485	−	0.790482i	$-0.709830\pi$
$389$	−9.59769	+	3.97549i	−0.486622	+	0.201565i	0.125863	+	0.992048i	$0.459830\pi$
$390$	−0.0391277	−	6.93905i	−0.00198131	−	0.351373i
$391$	−31.0940	+	1.98414i	−1.57249	+	0.100342i
$392$	−3.76124	+	3.76124i	−0.189971	+	0.189971i
$393$	8.25330	+	3.41863i	0.416324	+	0.172447i
$394$	3.26175	−	16.3979i	0.164325	−	0.826116i
$395$	37.0281	−	0.208793i	1.86309	−	0.0105055i
$396$	3.77706	+	5.65277i	0.189805	+	0.284063i
$397$	−12.0178	+	17.9859i	−0.603156	+	0.902687i	−0.999884	−	0.0152497i	$-0.995146\pi$
$397$	−12.0178	+	17.9859i	−0.603156	+	0.902687i	0.396728	+	0.917936i	$0.370146\pi$
$398$	10.8015	−	2.14854i	0.541428	−	0.107697i
$399$	2.77656	+	1.15009i	0.139002	+	0.0575765i
$400$	−1.86120	+	4.64068i	−0.0930601	+	0.232034i
$401$	33.1362	+	22.1409i	1.65474	+	1.10566i	0.882465	+	0.470379i	$0.155883\pi$
$401$	33.1362	+	22.1409i	1.65474	+	1.10566i	0.772278	+	0.635285i	$0.219117\pi$
$402$	0.839458	+	0.560908i	0.0418684	+	0.0279755i
$403$	−7.33970	−	1.45996i	−0.365616	−	0.0727256i
$404$	6.07521	−	6.07521i	0.302253	−	0.302253i
$405$	−5.24256	−	7.75107i	−0.260505	−	0.385154i
$406$	−3.13987	−	7.58032i	−0.155829	−	0.376205i
$407$	−0.677257	−	0.677257i	−0.0335704	−	0.0335704i
$408$	−3.11005	+	0.198455i	−0.153970	+	0.00982501i
$409$			14.2379i			0.704017i	0.935997	+	0.352008i	$0.114501\pi$
$409$			14.2379i			0.704017i	−0.935997	+	0.352008i	$0.885499\pi$
$410$	2.70459	+	6.42673i	0.133570	+	0.317394i
$411$	12.9286	+	2.57165i	0.637719	+	0.126850i
$412$			8.26991i			0.407429i
$413$	−2.58466	+	12.9940i	−0.127183	+	0.639392i
$414$	−3.58053	−	18.0006i	−0.175974	−	0.884679i
$415$	4.42296	−	6.70092i	0.217115	−	0.328935i
$416$	−1.57122	+	3.79325i	−0.0770353	+	0.185980i
$417$	4.17964	−	1.73126i	0.204678	−	0.0847804i
$418$	1.67488	+	8.42017i	0.0819209	+	0.411844i
$419$	27.6748	−	5.50486i	1.35200	−	0.268930i	0.534653	−	0.845072i	$-0.320442\pi$
$419$	27.6748	−	5.50486i	1.35200	−	0.268930i	0.817350	+	0.576142i	$0.195442\pi$
$420$	2.15141	+	0.415344i	0.104978	+	0.0202667i
$421$	8.88753	+	8.88753i	0.433152	+	0.433152i	0.889699	−	0.456547i	$-0.150914\pi$
$421$	8.88753	+	8.88753i	0.433152	+	0.433152i	−0.456547	+	0.889699i	$0.650914\pi$
$422$	4.18558	+	6.26416i	0.203751	+	0.304935i
$423$	−7.35123	+	17.7474i	−0.357429	+	0.862910i
$424$	11.2257			0.545166
$425$	−19.8612	+	5.52566i	−0.963410	+	0.268034i
$426$	6.12642			0.296826
$427$	3.07624	−	7.42670i	0.148870	−	0.359403i
$428$	−1.45125	−	2.17196i	−0.0701490	−	0.104985i
$429$	−6.14250	−	6.14250i	−0.296563	−	0.296563i
$430$	17.4691	+	3.37253i	0.842434	+	0.162638i
$431$	0.0187197	−	0.00372358i	0.000901697	−	0.000179359i	−0.194639	−	0.980875i	$-0.562354\pi$
$431$	0.0187197	−	0.00372358i	0.000901697	−	0.000179359i	0.195541	+	0.980695i	$0.437354\pi$
$432$	−0.800495	−	4.02436i	−0.0385138	−	0.193622i
$433$	10.2732	−	4.25531i	0.493700	−	0.204497i	−0.121921	−	0.992540i	$-0.538905\pi$
$433$	10.2732	−	4.25531i	0.493700	−	0.204497i	0.615621	+	0.788043i	$0.288905\pi$
$434$	0.904284	−	2.18314i	0.0434070	−	0.104794i
$435$	5.89219	−	8.92684i	0.282509	−	0.428009i
$436$	0.150021	+	0.754205i	0.00718469	+	0.0361199i
$437$	4.52147	−	22.7310i	0.216291	−	1.08737i
$438$		−	1.35287i		−	0.0646426i
$439$	29.9406	+	5.95556i	1.42899	+	0.284243i	0.848141	−	0.529770i	$-0.177722\pi$
$439$	29.9406	+	5.95556i	1.42899	+	0.284243i	0.580846	+	0.814013i	$0.302722\pi$
$440$	2.42789	+	5.76921i	0.115745	+	0.275036i
$441$		−	12.9188i		−	0.615183i
$442$	−16.3593	+	4.35323i	−0.778133	+	0.207062i
$443$	7.29263	+	7.29263i	0.346483	+	0.346483i	0.858798	−	0.512315i	$-0.171212\pi$
$443$	7.29263	+	7.29263i	0.346483	+	0.346483i	−0.512315	+	0.858798i	$0.671212\pi$
$444$	0.0989681	+	0.238930i	0.00469682	+	0.0113391i
$445$	−12.4280	−	18.3747i	−0.589145	−	0.871045i
$446$	−9.01305	+	9.01305i	−0.426780	+	0.426780i
$447$	−1.58908	−	0.316088i	−0.0751609	−	0.0149504i
$448$	−1.07796	−	0.720272i	−0.0509290	−	0.0340297i
$449$	−27.1294	−	18.1273i	−1.28031	−	0.855479i	−0.285619	−	0.958343i	$-0.592199\pi$
$449$	−27.1294	−	18.1273i	−1.28031	−	0.855479i	−0.994695	+	0.102864i	$0.967199\pi$
$450$	−4.77337	−	11.1661i	−0.225019	−	0.526375i
$451$	8.06428	+	3.34034i	0.379732	+	0.157290i
$452$	−16.3739	+	3.25698i	−0.770165	+	0.153195i
$453$	−9.01738	+	13.4955i	−0.423673	+	0.634072i
$454$	−3.63834	−	5.44517i	−0.170756	−	0.255554i
$455$	11.9023	−	0.0671146i	0.557991	−	0.00314638i
$456$	0.452241	−	2.27357i	0.0211781	−	0.106470i
$457$	0.110508	+	0.0457737i	0.00516933	+	0.00214120i	0.385267	−	0.922805i	$-0.374109\pi$
$457$	0.110508	+	0.0457737i	0.00516933	+	0.00214120i	−0.380097	+	0.924947i	$0.624109\pi$
$458$	0.209720	−	0.209720i	0.00979956	−	0.00979956i
$459$	11.1767	−	12.7003i	0.521683	−	0.592800i
$460$	−0.0952790	−	16.8971i	−0.00444241	−	0.787833i
$461$	24.8629	−	10.2986i	1.15798	−	0.479652i	0.280780	−	0.959772i	$-0.409407\pi$
$461$	24.8629	−	10.2986i	1.15798	−	0.479652i	0.877203	+	0.480120i	$0.159407\pi$
$462$	2.28070	−	1.52391i	0.106108	−	0.0708989i
$463$	24.8552			1.15512			0.577560	−	0.816349i	$-0.304005\pi$
$463$	24.8552			1.15512			0.577560	+	0.816349i	$0.304005\pi$
$464$	−5.26212	+	3.51604i	−0.244288	+	0.163228i
$465$	3.01785	−	0.617998i	0.139949	−	0.0286590i
$466$	−13.2627	+	19.8490i	−0.614381	+	0.919486i
$467$	−10.5965	−	25.5823i	−0.490349	−	1.18381i	−0.954543	−	0.298074i	$-0.903656\pi$
$467$	−10.5965	−	25.5823i	−0.490349	−	1.18381i	0.464194	−	0.885734i	$-0.346344\pi$
$468$	−3.81604	−	9.21274i	−0.176397	−	0.425859i
$469$	−0.962108	+	1.43990i	−0.0444260	+	0.0664882i
$470$	−9.74271	+	14.7605i	−0.449398	+	0.680851i
$471$	3.91598	−	2.61658i	0.180439	−	0.120565i
$472$	10.2190			0.470370
$473$	18.5189	−	12.3739i	0.851501	−	0.568955i
$474$	−11.5636	+	4.78981i	−0.531135	+	0.220003i
$475$	−0.172934	−	15.3339i	−0.00793473	−	0.703565i
$476$	−0.340404	−	5.33458i	−0.0156024	−	0.244510i
$477$	−19.2785	+	19.2785i	−0.882702	+	0.882702i
$478$	−26.1098	−	10.8150i	−1.19423	−	0.494668i
$479$	−6.61121	+	33.2368i	−0.302074	+	1.51863i	0.469755	+	0.882797i	$0.344342\pi$
$479$	−6.61121	+	33.2368i	−0.302074	+	1.51863i	−0.771829	+	0.635830i	$0.780658\pi$
$480$	−0.00952989	−	1.69007i	−0.000434978	−	0.0771406i
$481$	0.780487	+	1.16808i	0.0355871	+	0.0532599i
$482$	9.52749	−	14.2589i	0.433965	−	0.649475i
$483$	−7.26260	+	1.44462i	−0.330460	+	0.0657325i
$484$	−2.92345	−	1.21093i	−0.132884	−	0.0550424i
$485$	7.05475	−	17.3070i	0.320339	−	0.785872i
$486$	12.8650	+	8.59613i	0.583569	+	0.389928i
$487$	−26.1687	−	17.4854i	−1.18582	−	0.792337i	−0.203410	−	0.979094i	$-0.565203\pi$
$487$	−26.1687	−	17.4854i	−1.18582	−	0.792337i	−0.982406	+	0.186756i	$0.940203\pi$
$488$	−6.08130	−	1.20965i	−0.275288	−	0.0547581i
$489$	6.84128	−	6.84128i	0.309373	−	0.309373i
$490$	2.25461	−	11.6785i	0.101853	−	0.527579i
$491$	6.10478	+	14.7382i	0.275505	+	0.665128i	0.999701	−	0.0244668i	$-0.00778882\pi$
$491$	6.10478	+	14.7382i	0.275505	+	0.665128i	−0.724196	+	0.689594i	$0.757789\pi$
$492$	−1.66657	−	1.66657i	−0.0751346	−	0.0751346i
$493$	−24.6946	−	8.43022i	−1.11219	−	0.379678i
$494$		−	12.5923i		−	0.566555i
$495$	−14.0774	−	5.73826i	−0.632731	−	0.257916i
$496$	−1.78765	−	0.355585i	−0.0802677	−	0.0159662i
$497$			10.5085i			0.471369i
$498$	−0.529466	+	2.66180i	−0.0237259	+	0.119278i
$499$	−5.94832	−	29.9042i	−0.266283	−	1.33870i	−0.850018	−	0.526753i	$-0.823409\pi$
$499$	−5.94832	−	29.9042i	−0.266283	−	1.33870i	0.583735	−	0.811944i	$-0.301591\pi$
$500$	−2.36635	−	10.9270i	−0.105826	−	0.488672i
$501$	3.89237	−	9.39702i	0.173898	−	0.419828i
$502$	−0.939451	+	0.389134i	−0.0419298	+	0.0173679i
$503$	−4.57741	−	23.0122i	−0.204096	−	1.02606i	−0.937954	−	0.346759i	$-0.887282\pi$
$503$	−4.57741	−	23.0122i	−0.204096	−	1.02606i	0.733858	−	0.679303i	$-0.237718\pi$
$504$	3.08822	−	0.614286i	0.137560	−	0.0273625i
$505$	−3.64168	+	18.8632i	−0.162052	+	0.839402i
$506$	−14.9575	−	14.9575i	−0.664941	−	0.664941i
$507$	1.61984	+	2.42425i	0.0719394	+	0.107665i
$508$	−2.90927	+	7.02360i	−0.129078	+	0.311622i
$509$	38.2452			1.69519			0.847594	−	0.530646i	$-0.178051\pi$
$509$	38.2452			1.69519			0.847594	+	0.530646i	$0.178051\pi$
$510$	5.51178	−	4.26371i	0.244066	−	0.188800i
$511$	2.32053			0.102654
$512$	−0.382683	+	0.923880i	−0.0169124	+	0.0408301i
$513$	6.99150	+	10.4635i	0.308682	+	0.461976i
$514$	−19.2964	−	19.2964i	−0.851129	−	0.851129i
$515$	−10.3602	−	15.3174i	−0.456524	−	0.674967i
$516$	−5.89835	+	1.17325i	−0.259660	+	0.0516497i
$517$	4.31934	+	21.7148i	0.189964	+	0.955015i
$518$	−0.409830	+	0.169757i	−0.0180069	+	0.00745869i
$519$	−1.02321	+	2.47024i	−0.0449138	+	0.108432i
$520$	−1.84183	−	8.99417i	−0.0807698	−	0.394421i
$521$	5.48546	+	27.5773i	0.240323	+	1.20818i	0.892828	+	0.450399i	$0.148718\pi$
$521$	5.48546	+	27.5773i	0.240323	+	1.20818i	−0.652505	+	0.757784i	$0.726282\pi$
$522$	2.99866	−	15.0753i	0.131248	−	0.659827i
$523$			13.3104i			0.582022i	0.956720	+	0.291011i	$0.0939917\pi$
$523$			13.3104i			0.582022i	−0.956720	+	0.291011i	$0.906008\pi$
$524$	11.5921	+	2.30581i	0.506402	+	0.100730i
$525$	−4.50513	+	1.92589i	−0.196620	+	0.0840528i
$526$		−	26.3486i		−	1.14885i
$527$	−3.31219	−	6.74577i	−0.144281	−	0.293850i
$528$	−1.49606	−	1.49606i	−0.0651076	−	0.0651076i
$529$	13.0512	+	31.5084i	0.567444	+	1.36993i
$530$	−20.7920	+	14.0630i	−0.903148	+	0.610858i
$531$	−17.5498	+	17.5498i	−0.761597	+	0.761597i
$532$	3.89978	+	0.775715i	0.169077	+	0.0336315i
$533$	−10.6452	−	7.11292i	−0.461096	−	0.308095i
$534$	6.23459	+	4.16582i	0.269797	+	0.180273i
$535$	5.40893	+	2.20480i	0.233848	+	0.0953219i
$536$	1.23408	+	0.511172i	0.0533040	+	0.0220792i
$537$	17.8794	−	3.55644i	0.771555	−	0.153472i
$538$	−13.9531	+	20.8823i	−0.601561	+	0.900299i
$539$	−8.27225	−	12.3803i	−0.356311	−	0.533257i
$540$	6.52421	+	6.45104i	0.280757	+	0.277609i
$541$	0.651544	−	3.27553i	0.0280121	−	0.140826i	−0.964248	−	0.265000i	$-0.914628\pi$
$541$	0.651544	−	3.27553i	0.0280121	−	0.140826i	0.992260	+	0.124174i	$0.0396281\pi$
$542$	11.6938	+	4.84374i	0.502292	+	0.208056i
$543$	−11.4536	+	11.4536i	−0.491522	+	0.491522i
$544$	−3.98445	+	1.06027i	−0.170832	+	0.0454585i
$545$	−1.22270	−	1.20899i	−0.0523748	−	0.0517875i
$546$	−3.71702	+	1.53964i	−0.159074	+	0.0658906i
$547$	22.2304	−	14.8539i	0.950502	−	0.635105i	0.0193799	−	0.999812i	$-0.493831\pi$
$547$	22.2304	−	14.8539i	0.950502	−	0.635105i	0.931122	+	0.364707i	$0.118831\pi$
$548$	17.4402			0.745008
$549$	12.5212	−	8.36640i	0.534392	−	0.357069i
$550$	−11.7243	−	7.64411i	−0.499926	−	0.325946i
$551$	10.7836	−	16.1387i	0.459395	−	0.687533i
$552$	2.18575	+	5.27686i	0.0930316	+	0.224598i
$553$	−8.21581	−	19.8347i	−0.349372	−	0.843458i
$554$	3.93460	−	5.88855i	0.167165	−	0.250180i
$555$	−0.482629	−	0.318561i	−0.0204865	−	0.0135221i
$556$	4.97673	−	3.32535i	0.211061	−	0.141026i
$557$	−27.7342			−1.17513			−0.587567	−	0.809175i	$-0.699914\pi$
$557$	−27.7342			−1.17513			−0.587567	+	0.809175i	$0.699914\pi$
$558$	3.68070	−	2.45937i	0.155817	−	0.104113i
$559$	−30.1816	+	12.5016i	−1.27655	+	0.528763i
$560$	2.89892	−	0.0163463i	0.122502	−	0.000690758i
$561$	1.15356	−	8.64684i	0.0487033	−	0.365070i
$562$	−4.75665	+	4.75665i	−0.200647	+	0.200647i
$563$	15.1918	+	6.29264i	0.640257	+	0.265203i	0.679104	−	0.734042i	$-0.262369\pi$
$563$	15.1918	+	6.29264i	0.640257	+	0.265203i	−0.0388473	+	0.999245i	$0.512369\pi$
$564$	1.16628	−	5.86331i	0.0491094	−	0.246890i
$565$	26.2474	−	26.5451i	1.10424	−	1.11676i
$566$	8.73558	+	13.0737i	0.367184	+	0.549529i
$567$	−3.01421	+	4.51108i	−0.126585	+	0.189448i
$568$	7.94978	−	1.58131i	0.333565	−	0.0663502i
$569$	−36.3872	−	15.0721i	−1.52543	−	0.631854i	−0.546759	−	0.837290i	$-0.684139\pi$
$569$	−36.3872	−	15.0721i	−1.52543	−	0.631854i	−0.978671	+	0.205436i	$0.934139\pi$
$570$	2.01059	+	4.77763i	0.0842145	+	0.200113i
$571$	1.17670	+	0.786243i	0.0492432	+	0.0329033i	0.579948	−	0.814653i	$-0.303073\pi$
$571$	1.17670	+	0.786243i	0.0492432	+	0.0329033i	−0.530705	+	0.847557i	$0.678073\pi$
$572$	−9.55611	−	6.38519i	−0.399561	−	0.266978i
$573$	0.304560	+	0.0605808i	0.0127232	+	0.00253080i
$574$	2.85861	−	2.85861i	0.119316	−	0.119316i
$575$	21.3445	+	31.1773i	0.890126	+	1.30018i
$576$	−0.929430	−	2.24384i	−0.0387262	−	0.0934934i
$577$	12.7320	+	12.7320i	0.530038	+	0.530038i	0.920584	−	0.390546i	$-0.127714\pi$
$577$	12.7320	+	12.7320i	0.530038	+	0.530038i	−0.390546	+	0.920584i	$0.627714\pi$
$578$	−13.4512	−	10.3954i	−0.559497	−	0.432392i
$579$			3.12033i			0.129677i
$580$	5.34170	−	13.1045i	0.221802	−	0.544135i
$581$	−4.56571	−	0.908176i	−0.189418	−	0.0376775i
$582$			6.31745i			0.261867i
$583$	−6.13035	+	30.8194i	−0.253893	+	1.27641i
$584$	−0.349193	−	1.75551i	−0.0144497	−	0.0726436i
$585$	18.6094	+	12.2832i	0.769402	+	0.507846i
$586$	−6.39930	+	15.4493i	−0.264352	+	0.638203i
$587$	−11.4604	+	4.74706i	−0.473022	+	0.195932i	−0.606443	−	0.795127i	$-0.707404\pi$
$587$	−11.4604	+	4.74706i	−0.473022	+	0.195932i	0.133420	+	0.991060i	$0.457404\pi$
$588$	0.784346	+	3.94317i	0.0323459	+	0.162614i
$589$	5.48265	−	1.09057i	0.225909	−	0.0449360i
$590$	−18.9276	+	12.8020i	−0.779237	+	0.527049i
$591$	−8.93565	−	8.93565i	−0.367563	−	0.367563i
$592$	0.190094	+	0.284496i	0.00781283	+	0.0116927i
$593$	3.68016	−	8.88469i	0.151126	−	0.364850i	−0.830127	−	0.557574i	$-0.811732\pi$
$593$	3.68016	−	8.88469i	0.151126	−	0.364850i	0.981253	+	0.192724i	$0.0617322\pi$
$594$	11.4858			0.471268
$595$	7.31342	+	9.45419i	0.299821	+	0.387584i
$596$	−2.14361			−0.0878058
$597$	3.18547	−	7.69041i	0.130373	−	0.314748i
$598$	17.2374	+	25.7975i	0.704888	+	1.05494i
$599$	9.77177	+	9.77177i	0.399264	+	0.399264i	0.877973	−	0.478710i	$-0.158895\pi$
$599$	9.77177	+	9.77177i	0.399264	+	0.399264i	−0.478710	+	0.877973i	$0.658895\pi$
$600$	2.13489	+	3.11838i	0.0871566	+	0.127307i
$601$	6.41758	−	1.27654i	0.261779	−	0.0520710i	−0.0624559	−	0.998048i	$-0.519893\pi$
$601$	6.41758	−	1.27654i	0.261779	−	0.0520710i	0.324235	+	0.945977i	$0.394893\pi$
$602$	−2.01245	−	10.1173i	−0.0820212	−	0.412349i
$603$	−2.99722	+	1.24149i	−0.122056	+	0.0505574i
$604$	−8.21780	+	19.8395i	−0.334377	+	0.807258i
$605$	6.93179	−	1.41950i	0.281817	−	0.0577108i
$606$	−1.26689	−	6.36907i	−0.0514638	−	0.258726i
$607$	3.44015	−	17.2948i	0.139632	−	0.701975i	−0.846016	−	0.533158i	$-0.821005\pi$
$607$	3.44015	−	17.2948i	0.139632	−	0.701975i	0.985647	−	0.168817i	$-0.0539948\pi$
$608$		−	3.06697i		−	0.124382i
$609$	−6.08235	−	1.20986i	−0.246469	−	0.0490258i
$610$	12.7791	−	5.37790i	0.517411	−	0.217745i
$611$		−	32.4743i		−	1.31377i
$612$	5.02188	−	8.66360i	0.202998	−	0.350205i
$613$	15.9617	+	15.9617i	0.644687	+	0.644687i	0.951704	−	0.307017i	$-0.0993310\pi$
$613$	15.9617	+	15.9617i	0.644687	+	0.644687i	−0.307017	+	0.951704i	$0.599331\pi$
$614$	6.50932	+	15.7149i	0.262695	+	0.634201i
$615$	5.17460	+	0.998993i	0.208660	+	0.0402833i
$616$	2.56614	−	2.56614i	0.103393	−	0.103393i
$617$	−2.51621	−	0.500505i	−0.101299	−	0.0201496i	0.144181	−	0.989551i	$-0.453945\pi$
$617$	−2.51621	−	0.500505i	−0.101299	−	0.0201496i	−0.245479	+	0.969402i	$0.578945\pi$
$618$	5.19724	+	3.47269i	0.209064	+	0.139692i
$619$	−25.8916	−	17.3002i	−1.04067	−	0.695354i	−0.0870005	−	0.996208i	$-0.527728\pi$
$619$	−25.8916	−	17.3002i	−1.04067	−	0.695354i	−0.953670	+	0.300854i	$0.902728\pi$
$620$	3.75652	−	1.58088i	0.150865	−	0.0634895i
$621$	−28.6466	−	11.8658i	−1.14955	−	0.476159i
$622$	19.3496	−	3.84888i	0.775849	−	0.154326i
$623$	−7.14550	+	10.6940i	−0.286278	+	0.428446i
$624$	1.72409	+	2.58029i	0.0690190	+	0.103294i
$625$	18.0719	+	17.2745i	0.722874	+	0.690980i
$626$	−0.218603	+	1.09899i	−0.00873714	+	0.0439246i
$627$	5.99498	+	2.48320i	0.239417	+	0.0991696i
$628$	4.40609	−	4.40609i	0.175822	−	0.175822i
$629$	−0.455780	+	1.33511i	−0.0181731	+	0.0532344i
$630$	−4.95042	+	5.00657i	−0.197229	+	0.199466i
$631$	0.636571	−	0.263677i	0.0253415	−	0.0104968i	−0.369977	−	0.929041i	$-0.620634\pi$
$631$	0.636571	−	0.263677i	0.0253415	−	0.0104968i	0.395318	+	0.918544i	$0.370634\pi$
$632$	−13.7689	+	9.20009i	−0.547698	+	0.365960i
$633$	5.69432			0.226329
$634$	−14.3408	+	9.58222i	−0.569546	+	0.380559i
$635$	−3.41034	−	16.6536i	−0.135335	−	0.660879i
$636$	4.71385	−	7.05478i	0.186916	−	0.279740i
$637$	8.35762	+	20.1771i	0.331141	+	0.799445i
$638$	−6.77942	−	16.3670i	−0.268400	−	0.647974i
$639$	−10.9370	+	16.3683i	−0.432660	+	0.647521i
$640$	−0.448594	−	2.19061i	−0.0177323	−	0.0865914i
$641$	−11.8547	+	7.92106i	−0.468233	+	0.312863i	−0.767209	−	0.641397i	$-0.778355\pi$
$641$	−11.8547	+	7.92106i	−0.468233	+	0.312863i	0.298976	+	0.954261i	$0.403355\pi$
$642$	−1.97438			−0.0779225
$643$	37.0546	−	24.7591i	1.46129	−	0.976403i	0.465470	−	0.885064i	$-0.345885\pi$
$643$	37.0546	−	24.7591i	1.46129	−	0.976403i	0.995820	−	0.0913390i	$-0.0291147\pi$
$644$	−9.05124	+	3.74915i	−0.356669	+	0.147737i
$645$	9.45505	−	9.56228i	0.372292	−	0.376515i
$646$	10.0456	−	7.68073i	0.395237	−	0.302194i
$647$	20.1146	−	20.1146i	0.790785	−	0.790785i	−0.190837	−	0.981622i	$-0.561120\pi$
$647$	20.1146	−	20.1146i	0.790785	−	0.790785i	0.981622	+	0.190837i	$0.0611200\pi$
$648$	3.86627	+	1.60146i	0.151881	+	0.0629113i
$649$	−5.58065	+	28.0558i	−0.219060	+	1.10129i
$650$	14.6789	+	14.3515i	0.575755	+	0.562913i
$651$	−0.992270	−	1.48504i	−0.0388901	−	0.0582032i
$652$	7.11157	−	10.6432i	0.278511	−	0.416821i
$653$	−18.3010	+	3.64030i	−0.716175	+	0.142456i	−0.539710	−	0.841851i	$-0.681466\pi$
$653$	−18.3010	+	3.64030i	−0.716175	+	0.142456i	−0.176465	+	0.984307i	$0.556466\pi$
$654$	0.536978	+	0.222424i	0.0209975	+	0.00869745i
$655$	−24.3593	+	10.2513i	−0.951797	+	0.400550i
$656$	−2.59274	−	1.73241i	−0.101229	−	0.0676393i
$657$	3.61454	+	2.41516i	0.141017	+	0.0942244i
$658$	10.0572	+	2.00049i	0.392069	+	0.0779873i
$659$	−13.9899	+	13.9899i	−0.544968	+	0.544968i	−0.924981	−	0.380013i	$-0.875919\pi$
$659$	−13.9899	+	13.9899i	−0.544968	+	0.544968i	0.380013	+	0.924981i	$0.375919\pi$
$660$	4.64518	+	0.896785i	0.180813	+	0.0349073i
$661$	12.9548	+	31.2756i	0.503882	+	1.21648i	0.947353	+	0.320190i	$0.103747\pi$
$661$	12.9548	+	31.2756i	0.503882	+	1.21648i	−0.443472	+	0.896288i	$0.646253\pi$
$662$	22.6087	+	22.6087i	0.878710	+	0.878710i
$663$	−4.13378	+	12.1090i	−0.160543	+	0.470276i
$664$			3.59068i			0.139345i
$665$	−8.19492	+	3.44871i	−0.317785	+	0.133735i
$666$	−0.815044	−	0.162122i	−0.0315823	−	0.00628211i
$667$			47.8244i			1.85177i
$668$	2.62534	−	13.1985i	0.101577	−	0.510664i
$669$	1.87953	+	9.44901i	0.0726666	+	0.365320i
$670$	−2.92612	+	0.599213i	−0.113046	+	0.0231496i
$671$	6.64203	−	16.0353i	0.256413	−	0.619035i
$672$	−0.905313	+	0.374993i	−0.0349232	+	0.0144657i
$673$	−6.95354	−	34.9578i	−0.268039	−	1.34753i	−0.846750	−	0.531992i	$-0.821444\pi$
$673$	−6.95354	−	34.9578i	−0.268039	−	1.34753i	0.578710	−	0.815533i	$-0.303556\pi$
$674$	−18.5069	+	3.68126i	−0.712860	+	0.141797i
$675$	−20.1657	−	3.77530i	−0.776176	−	0.145311i
$676$	2.72767	+	2.72767i	0.104910	+	0.104910i
$677$	18.7295	+	28.0307i	0.719835	+	1.07731i	0.993315	+	0.115431i	$0.0368250\pi$
$677$	18.7295	+	28.0307i	0.719835	+	1.07731i	−0.273481	+	0.961877i	$0.588175\pi$
$678$	−4.82885	+	11.6579i	−0.185451	+	0.447718i
$679$	−10.8361			−0.415852
$680$	6.05170	−	6.95536i	0.232072	−	0.266726i
$681$	−4.94983			−0.189678
$682$	1.95248	−	4.71369i	0.0747641	−	0.180497i
$683$	−19.6034	−	29.3386i	−0.750104	−	1.12261i	−0.988467	−	0.151434i	$-0.951611\pi$
$683$	−19.6034	−	29.3386i	−0.750104	−	1.12261i	0.238363	−	0.971176i	$-0.423389\pi$
$684$	5.26709	+	5.26709i	0.201392	+	0.201392i
$685$	−32.3025	+	21.8483i	−1.23422	+	0.834781i
$686$	−15.6644	+	3.11585i	−0.598070	+	0.118964i
$687$	−0.0437336	−	0.219864i	−0.00166854	−	0.00838833i
$688$	−7.35100	+	3.04488i	−0.280254	+	0.116085i
$689$	17.6379	−	42.5818i	0.671952	−	1.62224i
$690$	−10.6590	−	7.03553i	−0.405783	−	0.267838i
$691$	−0.638102	−	3.20795i	−0.0242745	−	0.122036i	0.966748	−	0.255731i	$-0.0823160\pi$
$691$	−0.638102	−	3.20795i	−0.0242745	−	0.122036i	−0.991023	+	0.133694i	$0.957316\pi$
$692$	−0.690135	+	3.46954i	−0.0262350	+	0.131892i
$693$			8.81400i			0.334816i
$694$	6.55684	+	1.30424i	0.248894	+	0.0495082i
$695$	−5.05200	+	12.3938i	−0.191633	+	0.470124i
$696$			4.78344i			0.181316i
$697$	−0.818747	−	12.8308i	−0.0310122	−	0.486002i
$698$	−16.2352	−	16.2352i	−0.614512	−	0.614512i
$699$	6.90489	+	16.6699i	0.261167	+	0.630513i
$700$	−5.34886	+	3.66191i	−0.202168	+	0.138407i
$701$	−14.9622	+	14.9622i	−0.565115	+	0.565115i	−0.930756	−	0.365641i	$-0.880850\pi$
$701$	−14.9622	+	14.9622i	−0.565115	+	0.565115i	0.365641	+	0.930756i	$0.380850\pi$
$702$	−16.5232	−	3.28666i	−0.623627	−	0.124047i
$703$	−0.872540	−	0.583013i	−0.0329085	−	0.0219887i
$704$	−2.32747	−	1.55517i	−0.0877199	−	0.0586126i
$705$	5.18512	+	12.3210i	0.195283	+	0.464037i
$706$	11.1083	+	4.60119i	0.418065	+	0.173168i
$707$	10.9247	−	2.17305i	0.410865	−	0.0817260i
$708$	4.29116	−	6.42218i	0.161272	−	0.241360i
$709$	18.2779	+	27.3548i	0.686442	+	1.02733i	0.997047	+	0.0767938i	$0.0244683\pi$
$709$	18.2779	+	27.3548i	0.686442	+	1.02733i	−0.310605	+	0.950539i	$0.600532\pi$
$710$	−12.7435	+	12.8880i	−0.478255	+	0.483679i
$711$	7.84632	−	39.4461i	0.294260	−	1.47934i
$712$	9.16539	+	3.79643i	0.343488	+	0.142277i
$713$	−9.73929	+	9.73929i	−0.364739	+	0.364739i
$714$	−3.49546	−	2.02616i	−0.130814	−	0.0758270i
$715$	25.6988	−	0.144910i	0.961081	−	0.00541931i
$716$	22.2828	−	9.22984i	0.832747	−	0.344935i
$717$	−17.7607	+	11.8673i	−0.663285	+	0.443193i
$718$	24.6343			0.919345
$719$	28.5361	−	19.0672i	1.06422	−	0.711088i	0.105205	−	0.994451i	$-0.466450\pi$
$719$	28.5361	−	19.0672i	1.06422	−	0.711088i	0.959013	+	0.283363i	$0.0914500\pi$
$720$	4.53247	+	2.99167i	0.168915	+	0.111493i
$721$	−5.95659	+	8.91467i	−0.221835	+	0.332000i
$722$	−3.67136	−	8.86345i	−0.136634	−	0.329863i
$723$	−4.96026	−	11.9751i	−0.184474	−	0.445360i
$724$	−11.9062	+	17.8188i	−0.442489	+	0.662231i
$725$	6.52294	+	30.9639i	0.242256	+	1.14997i
$726$	−1.98862	+	1.32876i	−0.0738047	+	0.0493147i
$727$	−44.2021			−1.63936			−0.819682	−	0.572819i	$-0.805850\pi$
$727$	−44.2021			−1.63936			−0.819682	+	0.572819i	$0.805850\pi$
$728$	−4.42589	+	2.95729i	−0.164034	+	0.109604i
$729$	−0.794304	+	0.329011i	−0.0294187	+	0.0121856i
$730$	2.84600	+	2.81409i	0.105335	+	0.104154i
$731$	−28.3826	−	16.4521i	−1.04977	−	0.608502i
$732$	−3.31385	+	3.31385i	−0.122484	+	0.122484i
$733$	10.9476	+	4.53464i	0.404359	+	0.167491i	0.575587	−	0.817741i	$-0.304774\pi$
$733$	10.9476	+	4.53464i	0.404359	+	0.167491i	−0.171228	+	0.985231i	$0.554774\pi$
$734$	−2.52559	+	12.6970i	−0.0932211	+	0.468654i
$735$	−6.39259	−	6.32091i	−0.235794	−	0.233150i
$736$	4.19830	+	6.28321i	0.154752	+	0.231602i
$737$	−2.07732	+	3.10894i	−0.0765192	+	0.114519i
$738$	7.42785	−	1.47749i	0.273423	−	0.0543872i
$739$	−25.7178	−	10.6526i	−0.946043	−	0.391864i	−0.144301	−	0.989534i	$-0.546093\pi$
$739$	−25.7178	−	10.6526i	−0.946043	−	0.391864i	−0.801742	+	0.597670i	$0.796093\pi$
$740$	−0.708495	−	0.288799i	−0.0260448	−	0.0106164i
$741$	−7.91366	−	5.28774i	−0.290716	−	0.194250i
$742$	12.1008	+	8.08553i	0.444236	+	0.296829i
$743$	22.6578	+	4.50691i	0.831233	+	0.165342i	0.592324	−	0.805700i	$-0.298210\pi$
$743$	22.6578	+	4.50691i	0.831233	+	0.165342i	0.238908	+	0.971042i	$0.423210\pi$
$744$	−0.974133	+	0.974133i	−0.0357134	+	0.0357134i
$745$	3.97037	−	2.68542i	0.145463	−	0.0983863i
$746$	−3.42677	−	8.27294i	−0.125463	−	0.302894i
$747$	−6.16650	−	6.16650i	−0.225620	−	0.225620i
$748$	−0.734980	−	11.5181i	−0.0268735	−	0.421143i
$749$		−	3.38659i		−	0.123743i
$750$	−7.86079	−	3.10133i	−0.287036	−	0.113244i
$751$	18.8525	+	3.75000i	0.687938	+	0.136839i	0.526668	−	0.850071i	$-0.323441\pi$
$751$	18.8525	+	3.75000i	0.687938	+	0.136839i	0.161270	+	0.986910i	$0.448441\pi$
$752$		−	7.90940i		−	0.288426i
$753$	−0.149941	+	0.753804i	−0.00546415	+	0.0274701i
$754$	5.06929	+	25.4850i	0.184612	+	0.928110i
$755$	−9.63318	−	47.0414i	−0.350587	−	1.71201i
$756$	2.03573	−	4.91469i	0.0740388	−	0.178745i
$757$	40.4627	−	16.7602i	1.47064	−	0.609160i	0.503637	−	0.863915i	$-0.331995\pi$
$757$	40.4627	−	16.7602i	1.47064	−	0.609160i	0.967006	+	0.254755i	$0.0819948\pi$
$758$	0.985213	+	4.95300i	0.0357846	+	0.179901i
$759$	−15.6810	+	3.11914i	−0.569183	+	0.113218i
$760$	3.84216	+	5.68060i	0.139370	+	0.206057i
$761$	−36.2918	−	36.2918i	−1.31558	−	1.31558i	−0.917240	−	0.398335i	$-0.869588\pi$
$761$	−36.2918	−	36.2918i	−1.31558	−	1.31558i	−0.398335	−	0.917240i	$-0.630412\pi$
$762$	3.19234	+	4.77767i	0.115646	+	0.173077i
$763$	−0.381516	+	0.921062i	−0.0138118	+	0.0333447i
$764$	0.410841			0.0148637
$765$	1.55191	+	22.3378i	0.0561096	+	0.807626i
$766$	−7.04171			−0.254427
$767$	16.0563	−	38.7634i	0.579761	−	1.39967i
$768$	0.419918	+	0.628452i	0.0151525	+	0.0226773i
$769$	−16.2508	−	16.2508i	−0.586018	−	0.586018i	0.350532	−	0.936551i	$-0.386001\pi$
$769$	−16.2508	−	16.2508i	−0.586018	−	0.586018i	−0.936551	+	0.350532i	$0.886001\pi$
$770$	−1.53823	+	7.96774i	−0.0554339	+	0.287137i
$771$	−20.2298	+	4.02396i	−0.728558	+	0.144919i
$772$	0.805399	+	4.04902i	0.0289870	+	0.145727i
$773$	19.0069	−	7.87291i	0.683630	−	0.283169i	−0.0137132	−	0.999906i	$-0.504365\pi$
$773$	19.0069	−	7.87291i	0.683630	−	0.283169i	0.697344	+	0.716737i	$0.254365\pi$
$774$	7.39516	−	17.8535i	0.265814	−	0.641731i
$775$	−4.97733	+	7.63408i	−0.178791	+	0.274224i
$776$	1.63062	+	8.19767i	0.0585357	+	0.294279i
$777$	−0.0654108	+	0.328842i	−0.00234660	+	0.0117971i
$778$			10.3885i			0.372444i
$779$	9.37983	+	1.86576i	0.336067	+	0.0668479i
$780$	−6.42582	−	2.61931i	−0.230081	−	0.0937864i
$781$			22.6892i			0.811884i
$782$	−10.0661	+	29.4864i	−0.359962	+	1.05443i
$783$	−18.3621	−	18.3621i	−0.656208	−	0.656208i
$784$	2.03557	+	4.91430i	0.0726989	+	0.175511i
$785$	−2.64115	+	13.6807i	−0.0942667	+	0.488284i
$786$	6.31681	−	6.31681i	0.225313	−	0.225313i
$787$	15.1618	+	3.01587i	0.540459	+	0.107504i	0.457769	−	0.889071i	$-0.348649\pi$
$787$	15.1618	+	3.01587i	0.540459	+	0.107504i	0.0826904	+	0.996575i	$0.473649\pi$
$788$	−13.9015	−	9.28869i	−0.495221	−	0.330896i
$789$	−16.5588	−	11.0642i	−0.589509	−	0.393897i
$790$	13.9771	−	34.2894i	0.497284	−	1.21996i
$791$	−19.9964	−	8.28279i	−0.710991	−	0.294502i
$792$	6.66790	−	1.32633i	0.236934	−	0.0471290i
$793$	−14.1435	+	21.1673i	−0.502252	+	0.751673i
$794$	12.0178	+	17.9859i	0.426496	+	0.638296i
$795$	0.106979	+	18.9721i	0.00379416	+	0.672871i
$796$	2.14854	−	10.8015i	0.0761531	−	0.382848i
$797$	15.8170	+	6.55161i	0.560266	+	0.232070i	0.644801	−	0.764351i	$-0.276940\pi$
$797$	15.8170	+	6.55161i	0.560266	+	0.232070i	−0.0845345	+	0.996421i	$0.526940\pi$
$798$	2.12509	−	2.12509i	0.0752273	−	0.0752273i
$799$	25.9065	−	19.8078i	0.916505	−	0.700750i
$800$	3.57518	+	3.49544i	0.126402	+	0.123582i
$801$	−22.2601	+	9.22045i	−0.786524	+	0.325789i
$802$	33.1362	−	22.1409i	1.17008	−	0.781822i
$803$	5.01035			0.176812
$804$	0.839458	−	0.560908i	0.0296054	−	0.0197817i
$805$	12.0678	−	18.2831i	0.425335	−	0.644396i
$806$	−4.15760	+	6.22229i	−0.146445	+	0.219171i
$807$	7.26435	+	17.5377i	0.255717	+	0.617356i
$808$	−3.28788	−	7.93765i	−0.115667	−	0.279246i
$809$	−2.28315	+	3.41698i	−0.0802713	+	0.120134i	−0.869433	−	0.494051i	$-0.835515\pi$
$809$	−2.28315	+	3.41698i	−0.0802713	+	0.120134i	0.789161	+	0.614186i	$0.210515\pi$
$810$	−9.16730	+	1.87729i	−0.322106	+	0.0659611i
$811$	12.9936	−	8.68206i	0.456268	−	0.304868i	−0.306115	−	0.951994i	$-0.599029\pi$
$811$	12.9936	−	8.68206i	0.456268	−	0.304868i	0.762383	+	0.647126i	$0.224029\pi$
$812$	−8.20488			−0.287935
$813$	7.95450	−	5.31503i	0.278976	−	0.186406i
$814$	−0.884879	+	0.366529i	−0.0310150	+	0.0128468i
$815$	0.161395	+	28.6223i	0.00565340	+	1.00260i
$816$	−1.00682	+	2.94926i	−0.0352456	+	0.103245i
$817$	17.2554	−	17.2554i	0.603690	−	0.603690i
$818$	13.1541	+	5.44859i	0.459921	+	0.190505i
$819$	2.52213	−	12.6796i	0.0881303	−	0.443061i
$820$	6.97253	−	0.0393165i	0.243491	−	0.00137299i
$821$	−12.0856	−	18.0873i	−0.421789	−	0.631252i	0.558340	−	0.829612i	$-0.311438\pi$
$821$	−12.0856	−	18.0873i	−0.421789	−	0.631252i	−0.980129	+	0.198360i	$0.936438\pi$
$822$	7.32345	−	10.9603i	0.255435	−	0.382285i
$823$	−41.6648	+	8.28765i	−1.45234	+	0.288889i	−0.857305	−	0.514808i	$-0.827863\pi$
$823$	−41.6648	+	8.28765i	−1.45234	+	0.288889i	−0.595038	+	0.803697i	$0.702863\pi$
$824$	7.64040	+	3.16476i	0.266166	+	0.110250i
$825$	−9.72720	+	4.15827i	−0.338658	+	0.144772i
$826$	11.0158	+	7.36050i	0.383287	+	0.256104i
$827$	−14.7216	−	9.83663i	−0.511918	−	0.342053i	0.272632	−	0.962119i	$-0.412106\pi$
$827$	−14.7216	−	9.83663i	−0.511918	−	0.342053i	−0.784550	+	0.620066i	$0.787106\pi$
$828$	−18.0006	−	3.58053i	−0.625563	−	0.124432i
$829$	15.2630	−	15.2630i	0.530106	−	0.530106i	−0.390498	−	0.920604i	$-0.627697\pi$
$829$	15.2630	−	15.2630i	0.530106	−	0.530106i	0.920604	+	0.390498i	$0.127697\pi$
$830$	−4.49825	−	6.65061i	−0.156136	−	0.230846i
$831$	−2.04846	−	4.94541i	−0.0710602	−	0.171554i
$832$	2.90323	+	2.90323i	0.100651	+	0.100651i
$833$	−10.9986	+	18.9744i	−0.381078	+	0.657424i
$834$		−	4.52401i		−	0.156654i
$835$	11.6718	+	27.7349i	0.403921	+	0.959807i
$836$	8.42017	+	1.67488i	0.291218	+	0.0579268i
$837$		−	7.47877i		−	0.258504i
$838$	5.50486	−	27.6748i	0.190162	−	0.956010i
$839$	−1.92009	−	9.65297i	−0.0662890	−	0.333257i	0.933383	−	0.358883i	$-0.116842\pi$
$839$	−1.92009	−	9.65297i	−0.0662890	−	0.333257i	−0.999672	+	0.0256255i	$0.991842\pi$
$840$	1.20703	−	1.82869i	0.0416467	−	0.0630959i
$841$	−4.22958	+	10.2111i	−0.145848	+	0.352107i
$842$	11.6121	−	4.80990i	0.400180	−	0.165760i
$843$	0.991922	+	4.98673i	0.0341636	+	0.171752i
$844$	7.38908	−	1.46978i	0.254343	−	0.0505919i
$845$	−8.46925	−	1.63505i	−0.291351	−	0.0562474i
$846$	13.5833	+	13.5833i	0.467004	+	0.467004i
$847$	−2.27917	−	3.41102i	−0.0783133	−	0.117204i
$848$	4.29587	−	10.3711i	0.147521	−	0.356147i
$849$	11.8844			0.407872
$850$	−2.49551	+	20.4639i	−0.0855952	+	0.701907i
$851$	2.58562			0.0886340
$852$	2.34448	−	5.66007i	0.0803205	−	0.193911i
$853$	5.45750	+	8.16772i	0.186861	+	0.279657i	0.913058	−	0.407829i	$-0.133714\pi$
$853$	5.45750	+	8.16772i	0.186861	+	0.279657i	−0.726197	+	0.687486i	$0.758714\pi$
$854$	−5.68415	−	5.68415i	−0.194508	−	0.194508i
$855$	−16.3540	−	3.15726i	−0.559296	−	0.107976i
$856$	−2.56200	+	0.509613i	−0.0875672	+	0.0174182i
$857$	−2.17179	−	10.9183i	−0.0741870	−	0.372963i	0.925800	−	0.378013i	$-0.123393\pi$
$857$	−2.17179	−	10.9183i	−0.0741870	−	0.372963i	−0.999987	+	0.00504986i	$0.998393\pi$
$858$	−8.02557	+	3.32430i	−0.273988	+	0.113490i
$859$	18.6818	−	45.1018i	0.637414	−	1.53885i	−0.192700	−	0.981258i	$-0.561724\pi$
$859$	18.6818	−	45.1018i	0.637414	−	1.53885i	0.830113	−	0.557595i	$-0.188276\pi$
$860$	9.80093	−	14.8487i	0.334209	−	0.506337i
$861$	−0.596117	−	2.99688i	−0.0203156	−	0.102133i
$862$	0.00372358	−	0.0187197i	0.000126826	−	0.000637596i
$863$			2.59072i			0.0881891i	0.999027	+	0.0440945i	$0.0140403\pi$
$863$			2.59072i			0.0881891i	−0.999027	+	0.0440945i	$0.985960\pi$
$864$	−4.02436	−	0.800495i	−0.136911	−	0.0272334i
$865$	−3.06823	−	7.29082i	−0.104323	−	0.247895i
$866$		−	11.1197i		−	0.377862i
$867$	−12.1814	+	4.08822i	−0.413703	+	0.138843i
$868$	−1.67090	−	1.67090i	−0.0567140	−	0.0567140i
$869$	−17.7391	−	42.8259i	−0.601757	−	1.45277i
$870$	−5.99248	−	8.85982i	−0.203164	−	0.300376i
$871$	3.87801	−	3.87801i	0.131401	−	0.131401i
$872$	0.754205	+	0.150021i	0.0255406	+	0.00508035i
$873$	−16.8787	−	11.2780i	−0.571258	−	0.381703i
$874$	−19.2704	−	12.8761i	−0.651830	−	0.435539i
$875$	5.31961	−	13.4834i	0.179836	−	0.455821i
$876$	−1.24989	−	0.517720i	−0.0422298	−	0.0174921i
$877$	1.13442	−	0.225649i	0.0383065	−	0.00761964i	−0.175900	−	0.984408i	$-0.556283\pi$
$877$	1.13442	−	0.225649i	0.0383065	−	0.00761964i	0.214206	+	0.976788i	$0.431283\pi$
$878$	16.9600	−	25.3824i	0.572372	−	0.856615i
$879$	7.02194	+	10.5091i	0.236844	+	0.354462i
$880$	6.25917	−	0.0352940i	0.210996	−	0.00118976i
$881$	−0.755065	+	3.79597i	−0.0254388	+	0.127889i	−0.991418	−	0.130731i	$-0.958268\pi$
$881$	−0.755065	+	3.79597i	−0.0254388	+	0.127889i	0.965979	+	0.258620i	$0.0832677\pi$
$882$	−11.9354	−	4.94383i	−0.401887	−	0.166467i
$883$	40.7312	−	40.7312i	1.37071	−	1.37071i	0.511327	−	0.859386i	$-0.329154\pi$
$883$	40.7312	−	40.7312i	1.37071	−	1.37071i	0.859386	−	0.511327i	$-0.170846\pi$
$884$	−2.23858	+	16.7799i	−0.0752916	+	0.564370i
$885$	0.0973864	+	17.2709i	0.00327361	+	0.580554i
$886$	9.52828	−	3.94674i	0.320109	−	0.132593i
$887$	26.0230	−	17.3880i	0.873767	−	0.583832i	−0.0358145	−	0.999358i	$-0.511403\pi$
$887$	26.0230	−	17.3880i	0.873767	−	0.583832i	0.909581	+	0.415526i	$0.136403\pi$
$888$	0.258616			0.00867859
$889$	−8.19499	+	5.47572i	−0.274851	+	0.183650i
$890$	−21.7320	+	4.45030i	−0.728459	+	0.149174i
$891$	−6.50810	+	9.74006i	−0.218029	+	0.326304i
$892$	4.87783	+	11.7761i	0.163322	+	0.394294i
$893$	9.28307	+	22.4113i	0.310646	+	0.749966i
$894$	−0.900141	+	1.34716i	−0.0301052	+	0.0450557i
$895$	−29.7092	+	45.0103i	−0.993069	+	1.50453i
$896$	−1.07796	+	0.720272i	−0.0360122	+	0.0240626i
$897$	23.4508			0.782998
$898$	−27.1294	+	18.1273i	−0.905319	+	0.604915i
$899$	−10.6571	+	4.41430i	−0.355433	+	0.147225i
$900$	−12.1428	+	0.136945i	−0.404760	+	0.00456485i
$901$	44.7280	−	11.9022i	1.49011	−	0.396519i
$902$	6.17214	−	6.17214i	0.205510	−	0.205510i
$903$	−7.20327	−	2.98369i	−0.239710	−	0.0992910i
$904$	−3.25698	+	16.3739i	−0.108325	+	0.544589i
$905$	−0.270206	−	47.9193i	−0.00898194	−	1.59289i
$906$	9.01738	+	13.4955i	0.299582	+	0.448357i
$907$	4.05715	−	6.07195i	0.134715	−	0.201616i	−0.757978	−	0.652280i	$-0.773813\pi$
$907$	4.05715	−	6.07195i	0.134715	−	0.201616i	0.892694	+	0.450664i	$0.148813\pi$
$908$	−6.42301	+	1.27762i	−0.213155	+	0.0423992i
$909$	19.2783	+	7.98534i	0.639421	+	0.264857i
$910$	4.49282	−	11.0220i	0.148936	−	0.365376i
$911$	18.4094	+	12.3008i	0.609932	+	0.407543i	0.821817	−	0.569751i	$-0.192960\pi$
$911$	18.4094	+	12.3008i	0.609932	+	0.407543i	−0.211885	+	0.977295i	$0.567960\pi$
$912$	−1.92744	−	1.28787i	−0.0638239	−	0.0426458i
$913$	−9.85800	−	1.96088i	−0.326252	−	0.0648956i
$914$	0.0845788	−	0.0845788i	0.00279762	−	0.00279762i
$915$	1.98643	−	10.2893i	0.0656693	−	0.340155i
$916$	−0.113500	−	0.274012i	−0.00375013	−	0.00905361i
$917$	10.8350	+	10.8350i	0.357804	+	0.357804i
$918$	−7.45642	−	15.1861i	−0.246099	−	0.501217i
$919$		−	20.2555i		−	0.668167i	−0.942543	−	0.334084i	$-0.891573\pi$
$919$		−	20.2555i		−	0.668167i	0.942543	−	0.334084i	$-0.108427\pi$
$920$	−15.6474	−	6.37823i	−0.515879	−	0.210284i
$921$	12.6094	+	2.50817i	0.415495	+	0.0826470i
$922$		−	26.9115i		−	0.886282i
$923$	6.49252	−	32.6401i	0.213704	−	1.07436i
$924$	−0.535128	−	2.69027i	−0.0176044	−	0.0885033i
$925$	1.67406	−	0.352662i	0.0550428	−	0.0115955i
$926$	9.51167	−	22.9632i	0.312573	−	0.754618i
$927$	−18.5564	+	7.68630i	−0.609471	+	0.252451i
$928$	1.23467	+	6.20709i	0.0405300	+	0.203758i
$929$	39.8759	−	7.93180i	1.30828	−	0.260234i	0.508782	−	0.860896i	$-0.330096\pi$
$929$	39.8759	−	7.93180i	1.30828	−	0.260234i	0.799503	+	0.600662i	$0.205096\pi$
$930$	0.583926	−	3.02463i	0.0191477	−	0.0991815i
$931$	−11.5356	−	11.5356i	−0.378064	−	0.378064i
$932$	13.2627	+	19.8490i	0.434433	+	0.650175i
$933$	5.70642	−	13.7765i	0.186820	−	0.451023i
$934$	−27.6901			−0.906047
$935$	15.7907	+	20.4129i	0.516411	+	0.667574i
$936$	−9.97180			−0.325939
$937$	−13.8708	+	33.4871i	−0.453140	+	1.09398i	0.517982	+	0.855392i	$0.326683\pi$
$937$	−13.8708	+	33.4871i	−0.453140	+	1.09398i	−0.971122	+	0.238585i	$0.923317\pi$
$938$	0.962108	+	1.43990i	0.0314139	+	0.0470143i
$939$	0.598868	+	0.598868i	0.0195433	+	0.0195433i
$940$	9.90855	+	14.6497i	0.323181	+	0.477820i
$941$	−33.9128	+	6.74568i	−1.10553	+	0.219903i	−0.713918	−	0.700229i	$-0.753081\pi$
$941$	−33.9128	+	6.74568i	−1.10553	+	0.219903i	−0.391608	+	0.920132i	$0.628081\pi$
$942$	−0.918819	−	4.61922i	−0.0299367	−	0.150502i
$943$	−21.7702	+	9.01751i	−0.708935	+	0.293651i
$944$	3.91066	−	9.44117i	0.127281	−	0.307284i
$945$	2.38635	+	11.6532i	0.0776280	+	0.379079i
$946$	−4.34515	−	21.8446i	−0.141273	−	0.710228i
$947$	−8.87170	+	44.6011i	−0.288292	+	1.44934i	0.516758	+	0.856132i	$0.327139\pi$
$947$	−8.87170	+	44.6011i	−0.288292	+	1.44934i	−0.805049	+	0.593208i	$0.797861\pi$
$948$			12.5164i			0.406513i
$949$	−7.20776	−	1.43371i	−0.233974	−	0.0465403i
$950$	−14.2328	−	5.70824i	−0.461773	−	0.185200i
$951$			13.0363i			0.422729i
$952$	−5.05877	−	1.72696i	−0.163956	−	0.0559711i
$953$	32.1473	+	32.1473i	1.04135	+	1.04135i	0.999107	+	0.0422445i	$0.0134509\pi$
$953$	32.1473	+	32.1473i	1.04135	+	1.04135i	0.0422445	+	0.999107i	$0.486549\pi$
$954$	10.4335	+	25.1886i	0.337796	+	0.815511i
$955$	−0.760955	+	0.514684i	−0.0246239	+	0.0166548i
$956$	−19.9836	+	19.9836i	−0.646315	+	0.646315i
$957$	−13.1326	−	2.61225i	−0.424518	−	0.0844419i
$958$	28.1768	+	18.8271i	0.910350	+	0.608277i
$959$	18.7999	+	12.5617i	0.607080	+	0.405638i
$960$	−1.56506	−	0.637956i	−0.0505122	−	0.0205899i
$961$	25.5710	+	10.5919i	0.824872	+	0.341673i
$962$	1.37785	−	0.274071i	0.0444235	−	0.00883639i
$963$	3.52469	−	5.27507i	0.113581	−	0.169987i
$964$	−9.52749	−	14.2589i	−0.306860	−	0.459248i
$965$	−6.56418	−	6.49057i	−0.211308	−	0.208939i
$966$	−1.44462	+	7.26260i	−0.0464799	+	0.233670i
$967$	−19.6095	−	8.12253i	−0.630600	−	0.261203i	0.0444081	−	0.999013i	$-0.485860\pi$
$967$	−19.6095	−	8.12253i	−0.630600	−	0.261203i	−0.675008	+	0.737810i	$0.735860\pi$
$968$	−2.23751	+	2.23751i	−0.0719164	+	0.0719164i
$969$	−0.608656	−	9.53842i	−0.0195528	−	0.306418i
$970$	−13.2899	−	13.1409i	−0.426713	−	0.421927i
$971$	33.3218	−	13.8023i	1.06935	−	0.442938i	0.222587	−	0.974913i	$-0.428550\pi$
$971$	33.3218	−	13.8023i	1.06935	−	0.442938i	0.846760	+	0.531975i	$0.178550\pi$
$972$	12.8650	−	8.59613i	0.412646	−	0.275721i
$973$	7.75990			0.248771
$974$	−26.1687	+	17.4854i	−0.838499	+	0.560267i
$975$	15.1832	−	3.19853i	0.486251	−	0.102435i
$976$	−3.44478	+	5.15548i	−0.110265	+	0.165023i
$977$	−4.61901	−	11.1513i	−0.147775	−	0.356761i	0.832608	−	0.553863i	$-0.186847\pi$
$977$	−4.61901	−	11.1513i	−0.147775	−	0.356761i	−0.980383	+	0.197102i	$0.936847\pi$
$978$	−3.70247	−	8.93856i	−0.118392	−	0.285824i
$979$	−15.4281	+	23.0898i	−0.493085	+	0.737953i
$980$	−9.92668	−	6.55214i	−0.317096	−	0.209300i
$981$	−1.55288	+	1.03760i	−0.0495798	+	0.0331282i
$982$	15.9526			0.509067
$983$	−5.66979	+	3.78843i	−0.180838	+	0.120832i	−0.642695	−	0.766122i	$-0.722184\pi$
$983$	−5.66979	+	3.78843i	−0.180838	+	0.120832i	0.461856	+	0.886955i	$0.347184\pi$
$984$	−2.17747	+	0.901939i	−0.0694153	+	0.0287528i
$985$	37.3847	−	0.210803i	1.19117	−	0.00671676i
$986$	−17.2387	+	19.5887i	−0.548993	+	0.623832i
$987$	5.48039	−	5.48039i	0.174443	−	0.174443i
$988$	−11.6338	−	4.81887i	−0.370120	−	0.153309i
$989$	−11.7301	+	58.9712i	−0.372995	+	1.87517i
$990$	−10.6886	+	10.8099i	−0.339707	+	0.343560i
$991$	7.72117	+	11.5555i	0.245271	+	0.367074i	0.933595	−	0.358329i	$-0.116653\pi$
$991$	7.72117	+	11.5555i	0.245271	+	0.367074i	−0.688324	+	0.725403i	$0.741653\pi$
$992$	−1.01262	+	1.51549i	−0.0321507	+	0.0481169i
$993$	23.7022	−	4.71467i	0.752167	−	0.149615i
$994$	9.70854	+	4.02141i	0.307936	+	0.127551i
$995$	9.55209	+	22.6979i	0.302822	+	0.719573i
$996$	2.25657	+	1.50779i	0.0715021	+	0.0477762i
$997$	−19.9115	−	13.3044i	−0.630602	−	0.421355i	0.198774	−	0.980045i	$-0.436304\pi$
$997$	−19.9115	−	13.3044i	−0.630602	−	0.421355i	−0.829376	+	0.558691i	$0.811304\pi$
$998$	−29.9042	−	5.94832i	−0.946602	−	0.188291i
$999$	−0.992745	+	0.992745i	−0.0314091	+	0.0314091i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	170.2.o.b.3.2	✓	40
5.2	odd	4		170.2.r.b.37.2	yes	40
5.3	odd	4		850.2.v.d.207.4		40
5.4	even	2		850.2.s.d.343.4		40
17.6	odd	16		170.2.r.b.23.2	yes	40
85.23	even	16		850.2.s.d.57.4		40
85.57	even	16	inner	170.2.o.b.57.2	yes	40
85.74	odd	16		850.2.v.d.193.4		40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
170.2.o.b.3.2	✓	40	1.1	even	1	trivial
170.2.o.b.57.2	yes	40	85.57	even	16	inner
170.2.r.b.23.2	yes	40	17.6	odd	16
170.2.r.b.37.2	yes	40	5.2	odd	4
850.2.s.d.57.4		40	85.23	even	16
850.2.s.d.343.4		40	5.4	even	2
850.2.v.d.193.4		40	85.74	odd	16
850.2.v.d.207.4		40	5.3	odd	4

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:	\( N \)	\(=\)	\( 170 = 2 \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	170.o (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.382683 - 0.923880i) q^{2} +(-0.419918 - 0.628452i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(2.19553 + 0.423862i) q^{5} +(-0.741309 + 0.147456i) q^{6} +(-0.252926 - 1.27154i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(0.929430 - 2.24384i) q^{9} +O(q^{10})\)	\(q+(0.382683 - 0.923880i) q^{2} +(-0.419918 - 0.628452i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(2.19553 + 0.423862i) q^{5} +(-0.741309 + 0.147456i) q^{6} +(-0.252926 - 1.27154i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(0.929430 - 2.24384i) q^{9} +(1.23179 - 1.86620i) q^{10} +(-0.546102 - 2.74544i) q^{11} +(-0.147456 + 0.741309i) q^{12} +4.10579i q^{13} +(-1.27154 - 0.252926i) q^{14} +(-0.655565 - 1.55777i) q^{15} +1.00000i q^{16} +(-3.27541 + 2.50434i) q^{17} +(-1.71736 - 1.71736i) q^{18} +(-1.17368 - 2.83351i) q^{19} +(-1.25276 - 1.85219i) q^{20} +(-0.692896 + 0.692896i) q^{21} +(-2.74544 - 0.546102i) q^{22} +(6.28321 + 4.19830i) q^{23} +(0.628452 + 0.419918i) q^{24} +(4.64068 + 1.86120i) q^{25} +(3.79325 + 1.57122i) q^{26} +(-4.02436 + 0.800495i) q^{27} +(-0.720272 + 1.07796i) q^{28} +(3.51604 + 5.26212i) q^{29} +(-1.69007 + 0.00952989i) q^{30} +(-0.355585 + 1.78765i) q^{31} +(0.923880 + 0.382683i) q^{32} +(-1.49606 + 1.49606i) q^{33} +(1.06027 + 3.98445i) q^{34} +(-0.0163463 - 2.89892i) q^{35} +(-2.24384 + 0.929430i) q^{36} +(0.284496 - 0.190094i) q^{37} -3.06697 q^{38} +(2.58029 - 1.72409i) q^{39} +(-2.19061 + 0.448594i) q^{40} +(-1.73241 + 2.59274i) q^{41} +(0.374993 + 0.905313i) q^{42} +(3.04488 + 7.35100i) q^{43} +(-1.55517 + 2.32747i) q^{44} +(2.99167 - 4.53247i) q^{45} +(6.28321 - 4.19830i) q^{46} -7.90940 q^{47} +(0.628452 - 0.419918i) q^{48} +(4.91430 - 2.03557i) q^{49} +(3.49544 - 3.57518i) q^{50} +(2.94926 + 1.00682i) q^{51} +(2.90323 - 2.90323i) q^{52} +(-10.3711 - 4.29587i) q^{53} +(-0.800495 + 4.02436i) q^{54} +(-0.0352940 - 6.25917i) q^{55} +(0.720272 + 1.07796i) q^{56} +(-1.28787 + 1.92744i) q^{57} +(6.20709 - 1.23467i) q^{58} +(-9.44117 - 3.91066i) q^{59} +(-0.637956 + 1.56506i) q^{60} +(5.15548 + 3.44478i) q^{61} +(1.51549 + 1.01262i) q^{62} +(-3.08822 - 0.614286i) q^{63} +(0.707107 - 0.707107i) q^{64} +(-1.74029 + 9.01437i) q^{65} +(0.809661 + 1.95470i) q^{66} +(-0.944522 - 0.944522i) q^{67} +(4.08690 + 0.545225i) q^{68} -5.71164i q^{69} +(-2.68451 - 1.09427i) q^{70} +(-7.94978 - 1.58131i) q^{71} +2.42872i q^{72} +(-0.349193 + 1.75551i) q^{73} +(-0.0667522 - 0.335586i) q^{74} +(-0.779030 - 3.69800i) q^{75} +(-1.17368 + 2.83351i) q^{76} +(-3.35283 + 1.38879i) q^{77} +(-0.605422 - 3.04366i) q^{78} +(16.2415 - 3.23064i) q^{79} +(-0.423862 + 2.19553i) q^{80} +(-2.95911 - 2.95911i) q^{81} +(1.73241 + 2.59274i) q^{82} +(1.37409 - 3.31735i) q^{83} +0.979904 q^{84} +(-8.25274 + 4.11003i) q^{85} +7.95666 q^{86} +(1.83054 - 4.41932i) q^{87} +(1.55517 + 2.32747i) q^{88} +(-7.01489 - 7.01489i) q^{89} +(-3.04259 - 4.49844i) q^{90} +(5.22070 - 1.03846i) q^{91} +(-1.47425 - 7.41155i) q^{92} +(1.27277 - 0.527197i) q^{93} +(-3.02679 + 7.30733i) q^{94} +(-1.37582 - 6.71852i) q^{95} +(-0.147456 - 0.741309i) q^{96} +(1.63062 - 8.19767i) q^{97} -5.31920i q^{98} +(-6.66790 - 1.32633i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q+O(q^{10}) \) 40 * q	\( 40 q + 8 q^{10} - 8 q^{15} - 16 q^{18} - 16 q^{20} - 8 q^{25} - 8 q^{26} + 24 q^{27} + 8 q^{28} - 8 q^{29} - 16 q^{31} + 32 q^{33} - 8 q^{34} - 32 q^{35} + 16 q^{37} + 32 q^{39} + 8 q^{40} - 56 q^{41} - 8 q^{42} - 48 q^{43} - 16 q^{44} - 24 q^{45} - 96 q^{47} - 16 q^{49} - 32 q^{51} - 16 q^{52} - 40 q^{53} + 24 q^{54} + 8 q^{55} - 8 q^{56} - 8 q^{57} + 16 q^{58} + 24 q^{61} - 24 q^{62} - 24 q^{63} + 16 q^{65} - 16 q^{67} + 24 q^{68} + 8 q^{70} + 24 q^{71} + 16 q^{73} - 32 q^{74} + 184 q^{75} + 40 q^{77} + 16 q^{78} + 104 q^{79} + 8 q^{80} + 48 q^{81} + 56 q^{82} + 16 q^{83} - 8 q^{85} + 96 q^{86} - 8 q^{87} + 16 q^{88} + 16 q^{89} + 40 q^{90} + 48 q^{91} + 8 q^{92} + 136 q^{93} + 8 q^{94} + 8 q^{95} + 144 q^{97} - 160 q^{99}+O(q^{100}) \) 40 * q + 8 * q^10 - 8 * q^15 - 16 * q^18 - 16 * q^20 - 8 * q^25 - 8 * q^26 + 24 * q^27 + 8 * q^28 - 8 * q^29 - 16 * q^31 + 32 * q^33 - 8 * q^34 - 32 * q^35 + 16 * q^37 + 32 * q^39 + 8 * q^40 - 56 * q^41 - 8 * q^42 - 48 * q^43 - 16 * q^44 - 24 * q^45 - 96 * q^47 - 16 * q^49 - 32 * q^51 - 16 * q^52 - 40 * q^53 + 24 * q^54 + 8 * q^55 - 8 * q^56 - 8 * q^57 + 16 * q^58 + 24 * q^61 - 24 * q^62 - 24 * q^63 + 16 * q^65 - 16 * q^67 + 24 * q^68 + 8 * q^70 + 24 * q^71 + 16 * q^73 - 32 * q^74 + 184 * q^75 + 40 * q^77 + 16 * q^78 + 104 * q^79 + 8 * q^80 + 48 * q^81 + 56 * q^82 + 16 * q^83 - 8 * q^85 + 96 * q^86 - 8 * q^87 + 16 * q^88 + 16 * q^89 + 40 * q^90 + 48 * q^91 + 8 * q^92 + 136 * q^93 + 8 * q^94 + 8 * q^95 + 144 * q^97 - 160 * q^99

Introduction

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