LMFDB - Embedded newform 170.2.o.b.57.2

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			57.2
Character	$\chi$	$=$	170.57
Dual form			170.2.o.b.3.2

$q$-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 $\left(\mathbb{Z}/170\mathbb{Z}\right)^\times$.

$n$	$71$	$137$
$\chi(n)$	$e\left(\frac{15}{16}\right)$	$e\left(\frac{1}{4}\right)$

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	−0.932656	−	0.360766i	$-0.882515\pi$
$3$	−0.419918	+	0.628452i	−0.242440	+	0.362837i	0.690217	+	0.723603i	$0.257515\pi$
$4$	−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	0.903094	+	0.429444i	$0.141290\pi$
$7$	−0.252926	+	1.27154i	−0.0955971	+	0.480599i	−0.998691	+	0.0511552i	$0.983710\pi$
$8$	−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	0.806848	+	0.590759i	$0.201172\pi$
$11$	−0.546102	+	2.74544i	−0.164656	+	0.827782i	−0.971504	+	0.237023i	$0.923828\pi$
$12$	−0.147456	−	0.741309i	−0.0425668	−	0.213998i
$13$		−	4.10579i		−	1.13874i	−0.822081	−	0.569370i	$-0.807187\pi$
$13$		−	4.10579i		−	1.13874i	0.822081	−	0.569370i	$-0.192813\pi$
$14$	−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	−0.999449	−	0.0331943i	$-0.989432\pi$
$19$	−1.17368	+	2.83351i	−0.269260	+	0.650051i	0.730189	+	0.683245i	$0.239432\pi$
$20$	−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	0.312909	−	0.949783i	$-0.398697\pi$
$23$	6.28321	−	4.19830i	1.31014	−	0.875407i	0.997230	+	0.0743761i	$0.0236965\pi$
$24$	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	−0.346326	−	0.938114i	$-0.612571\pi$
$29$	3.51604	−	5.26212i	0.652912	−	0.977151i	0.999238	−	0.0390371i	$-0.0124290\pi$
$30$	−1.69007	−	0.00952989i	−0.308562	−	0.00173991i
$31$	−0.355585	−	1.78765i	−0.0638649	−	0.321071i	0.935625	−	0.352995i	$-0.114837\pi$
$31$	−0.355585	−	1.78765i	−0.0638649	−	0.321071i	−0.999490	+	0.0319239i	$0.989837\pi$
$32$	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	0.578736	−	0.815515i	$-0.303546\pi$
$37$	0.284496	+	0.190094i	0.0467709	+	0.0312513i	−0.531965	+	0.846766i	$0.678546\pi$
$38$	−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	0.671166	−	0.741308i	$-0.265794\pi$
$41$	−1.73241	−	2.59274i	−0.270557	−	0.404918i	−0.941723	+	0.336390i	$0.890794\pi$
$42$	0.374993	−	0.905313i	0.0578627	−	0.139693i
$43$	3.04488	−	7.35100i	0.464340	−	1.12102i	−0.502257	−	0.864718i	$-0.667497\pi$
$43$	3.04488	−	7.35100i	0.464340	−	1.12102i	0.966598	−	0.256299i	$-0.0825030\pi$
$44$	−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	−0.956009	−	0.293339i	$-0.905234\pi$
$53$	−10.3711	+	4.29587i	−1.42459	+	0.590083i	−0.468578	+	0.883422i	$0.655234\pi$
$54$	−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	−0.900303	−	0.435264i	$-0.856655\pi$
$59$	−9.44117	+	3.91066i	−1.22914	+	0.509125i	−0.328833	+	0.944388i	$0.606655\pi$
$60$	−0.637956	−	1.56506i	−0.0823597	−	0.202049i
$61$	5.15548	−	3.44478i	0.660091	−	0.441059i	−0.179881	−	0.983688i	$-0.557571\pi$
$61$	5.15548	−	3.44478i	0.660091	−	0.441059i	0.839972	+	0.542629i	$0.182571\pi$
$62$	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	−0.762445	−	0.647053i	$-0.776001\pi$
$67$	−0.944522	+	0.944522i	−0.115392	+	0.115392i	0.647053	+	0.762445i	$0.276001\pi$
$68$	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	−0.642775	−	0.766055i	$-0.722217\pi$
$71$	−7.94978	+	1.58131i	−0.943465	+	0.187667i	−0.300690	+	0.953722i	$0.597217\pi$
$72$		−	2.42872i		−	0.286227i
$73$	−0.349193	−	1.75551i	−0.0408700	−	0.205467i	0.954955	−	0.296751i	$-0.0959030\pi$
$73$	−0.349193	−	1.75551i	−0.0408700	−	0.205467i	−0.995825	+	0.0912835i	$0.970903\pi$
$74$	−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	0.984591	−	0.174870i	$-0.0559506\pi$
$79$	16.2415	+	3.23064i	1.82732	+	0.363476i	0.842724	+	0.538346i	$0.180951\pi$
$80$	−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	0.981176	−	0.193116i	$-0.0618593\pi$
$83$	1.37409	+	3.31735i	0.150826	+	0.364127i	−0.830350	+	0.557243i	$0.811859\pi$
$84$	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	−0.973264	−	0.229688i	$-0.926229\pi$
$89$	−7.01489	+	7.01489i	−0.743576	+	0.743576i	0.229688	+	0.973264i	$0.426229\pi$
$90$	−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	0.970892	+	0.239517i	$0.0769892\pi$
$97$	1.63062	+	8.19767i	0.165564	+	0.832347i	−0.805328	+	0.592830i	$0.798011\pi$
$98$			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	$-0.859412\pi$
$101$		−	8.59165i		−	0.854901i	0.904039	−	0.427451i	$-0.140588\pi$
$102$	2.05881	+	2.33947i	0.203853	+	0.231642i
$103$	−5.84771	+	5.84771i	−0.576192	+	0.576192i	−0.933852	−	0.357660i	$-0.883575\pi$
$103$	−5.84771	+	5.84771i	−0.576192	+	0.576192i	0.357660	+	0.933852i	$0.383575\pi$
$104$	−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	−0.0696901	−	0.997569i	$-0.522201\pi$
$107$	2.56200	−	0.509613i	0.247678	−	0.0492661i	0.317368	+	0.948303i	$0.397201\pi$
$108$	3.41169	−	2.27962i	0.328290	−	0.219356i
$109$	−0.639385	+	0.427223i	−0.0612419	+	0.0409206i	−0.585814	−	0.810445i	$-0.699225\pi$
$109$	−0.639385	+	0.427223i	−0.0612419	+	0.0409206i	0.524572	+	0.851366i	$0.324225\pi$
$110$	−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	0.951088	+	0.308919i	$0.0999672\pi$
$113$	9.27509	+	13.8811i	0.872527	+	1.30583i	−0.0785617	+	0.996909i	$0.525033\pi$
$114$	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	−0.998817	−	0.0486358i	$-0.984513\pi$
$127$	−2.90927	+	7.02360i	−0.258156	+	0.623244i	0.740661	+	0.671879i	$0.234513\pi$
$128$	−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	0.0464803	−	0.998919i	$-0.485200\pi$
$131$	−9.82728	−	6.56638i	−0.858613	−	0.573707i	−0.905094	+	0.425212i	$0.860200\pi$
$132$	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	−0.998480	−	0.0551204i	$-0.982446\pi$
$137$	−12.3321	−	12.3321i	−1.05360	−	1.05360i	−0.0551204	−	0.998480i	$-0.517554\pi$
$138$	−5.27686	+	2.18575i	−0.449196	+	0.186063i
$139$	−1.16771	−	5.87046i	−0.0990436	−	0.497926i	−0.998183	−	0.0602625i	$-0.980806\pi$
$139$	−1.16771	−	5.87046i	−0.0990436	−	0.497926i	0.899139	−	0.437663i	$-0.144194\pi$
$140$	−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	0.766464	−	0.642288i	$-0.222015\pi$
$149$	1.51576	+	1.51576i	0.124176	+	0.124176i	−0.642288	+	0.766464i	$0.722015\pi$
$150$	−3.71463	+	0.695432i	−0.303298	+	0.0567818i
$151$	−8.21780	+	19.8395i	−0.668755	+	1.61452i	0.114941	+	0.993372i	$0.463332\pi$
$151$	−8.21780	+	19.8395i	−0.668755	+	1.61452i	−0.783696	+	0.621145i	$0.786668\pi$
$152$	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	$-0.920013\pi$
$157$		−	6.23116i		−	0.497301i	0.968593	−	0.248650i	$-0.0799870\pi$
$158$	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	−0.750844	−	0.660479i	$-0.770353\pi$
$163$	2.49725	−	12.5545i	0.195600	−	0.983347i	0.946444	−	0.322868i	$-0.104647\pi$
$164$	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	−0.420607	−	0.907243i	$-0.638183\pi$
$167$	7.47633	−	11.1891i	0.578536	−	0.865840i	0.999143	+	0.0414034i	$0.0131829\pi$
$168$	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	−0.898628	−	0.438711i	$-0.855435\pi$
$173$	−1.96534	+	2.94134i	−0.149422	+	0.223626i	0.749206	+	0.662337i	$0.230435\pi$
$174$	−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	−0.745042	−	0.667018i	$-0.767571\pi$
$179$	−9.22984	−	22.2828i	−0.689870	−	1.66549i	0.0551713	−	0.998477i	$-0.482429\pi$
$180$	−5.32037	−	1.08951i	−0.396557	−	0.0812072i
$181$	−4.18088	+	21.0187i	−0.310763	+	1.56231i	0.437693	+	0.899125i	$0.355796\pi$
$181$	−4.18088	+	21.0187i	−0.310763	+	1.56231i	−0.748456	+	0.663185i	$0.769204\pi$
$182$	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	0.696518	−	0.717539i	$-0.254731\pi$
$191$	−0.290508	−	0.290508i	−0.0210205	−	0.0210205i	−0.717539	+	0.696518i	$0.754731\pi$
$192$	−0.741309	+	0.147456i	−0.0534994	+	0.0106417i
$193$	−3.43259	+	2.29358i	−0.247083	+	0.165096i	−0.672945	−	0.739692i	$-0.734971\pi$
$193$	−3.43259	+	2.29358i	−0.247083	+	0.165096i	0.425862	+	0.904788i	$0.359971\pi$
$194$	−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	0.740865	−	0.671654i	$-0.234416\pi$
$197$	16.3979	+	3.26175i	1.16830	+	0.232390i	0.427440	+	0.904044i	$0.359416\pi$
$198$	−3.77706	−	5.65277i	−0.268424	−	0.401725i
$199$	6.11854	−	9.15704i	0.433732	−	0.649125i	−0.548641	−	0.836058i	$-0.684855\pi$
$199$	6.11854	−	9.15704i	0.433732	−	0.649125i	0.982373	+	0.186933i	$0.0598547\pi$
$200$	−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	0.658951	−	0.752186i	$-0.271000\pi$
$211$	−4.18558	−	6.26416i	−0.288147	−	0.431243i	−0.947099	+	0.320943i	$0.896000\pi$
$212$	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	−0.740376	−	0.672194i	$-0.765352\pi$
$223$	−11.7761	+	4.87783i	−0.788587	+	0.326644i	−0.0482119	+	0.998837i	$0.515352\pi$
$224$	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	0.932338	−	0.361587i	$-0.117765\pi$
$227$	3.63834	+	5.44517i	0.241485	+	0.361408i	−0.690853	+	0.722995i	$0.742765\pi$
$228$	2.27357	+	0.452241i	0.150571	+	0.0299504i
$229$	0.274012	−	0.113500i	0.0181072	−	0.00750026i	−0.373611	−	0.927585i	$-0.621881\pi$
$229$	0.274012	−	0.113500i	0.0181072	−	0.00750026i	0.391719	+	0.920085i	$0.371881\pi$
$230$	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	−0.888539	−	0.458800i	$-0.848279\pi$
$233$	−23.4135	+	4.65723i	−1.53387	+	0.305105i	−0.645328	+	0.763905i	$0.723279\pi$
$234$	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	$0.367044\pi$
$239$			28.2610i			1.82805i	−0.405653	+	0.914027i	$0.632956\pi$
$240$	1.55777	+	0.655565i	0.100554	+	0.0423165i
$241$	16.8195	−	3.34561i	1.08344	−	0.215510i	0.379088	−	0.925360i	$-0.376238\pi$
$241$	16.8195	−	3.34561i	1.08344	−	0.215510i	0.704352	+	0.709851i	$0.251238\pi$
$242$			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	−0.729435	−	0.684050i	$-0.760217\pi$
$251$	−0.719025	+	0.719025i	−0.0453845	+	0.0453845i	0.684050	+	0.729435i	$0.260217\pi$
$252$	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	0.810710	+	0.585449i	$0.199082\pi$
$257$	10.4432	+	25.2120i	0.651426	+	1.57268i	−0.159284	+	0.987233i	$0.550918\pi$
$258$	−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	0.973688	−	0.227887i	$-0.0731816\pi$
$263$	24.3429	+	10.0832i	1.50105	+	0.621755i	0.527361	+	0.849641i	$0.323182\pi$
$264$	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	−0.876425	−	0.481538i	$-0.840078\pi$
$269$	−24.6323	+	4.89968i	−1.50186	+	0.298739i	−0.625435	+	0.780276i	$0.715078\pi$
$270$	−3.46328	−	8.49629i	−0.210769	−	0.517068i
$271$		−	12.6573i		−	0.768876i	−0.923151	−	0.384438i	$-0.874395\pi$
$271$		−	12.6573i		−	0.768876i	0.923151	−	0.384438i	$-0.125605\pi$
$272$	−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	0.0180492	−	0.999837i	$-0.494254\pi$
$277$	6.94601	−	1.38165i	0.417346	−	0.0830152i	0.399296	+	0.916822i	$0.369254\pi$
$278$	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	−0.560275	−	0.828307i	$-0.689304\pi$
$281$	−6.21486	+	2.57428i	−0.370748	+	0.153569i	0.189527	+	0.981875i	$0.439304\pi$
$282$	5.86331	+	1.16628i	0.349155	+	0.0694512i
$283$	−8.73558	−	13.0737i	−0.519276	−	0.777152i	0.475447	−	0.879744i	$-0.342286\pi$
$283$	−8.73558	−	13.0737i	−0.519276	−	0.777152i	−0.994723	+	0.102593i	$0.967286\pi$
$284$	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	0.274992	−	0.961446i	$-0.411325\pi$
$307$	−12.0277	−	12.0277i	−0.686454	−	0.686454i	−0.961446	+	0.274992i	$0.911325\pi$
$308$	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	−0.378467	−	0.925615i	$-0.623549\pi$
$311$	10.9607	−	16.4038i	0.621523	−	0.930174i	0.999990	−	0.00455961i	$-0.00145137\pi$
$312$	−1.72409	−	2.58029i	−0.0976076	−	0.146080i
$313$	−1.09899	−	0.218603i	−0.0621187	−	0.0123562i	0.163933	−	0.986471i	$-0.447582\pi$
$313$	−1.09899	−	0.218603i	−0.0621187	−	0.0123562i	−0.226052	+	0.974115i	$0.572582\pi$
$314$	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	−0.888781	−	0.458332i	$-0.848447\pi$
$317$	−14.3408	+	9.58222i	−0.805460	+	0.538191i	0.0833213	+	0.996523i	$0.473447\pi$
$318$	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	−0.777287	−	0.629146i	$-0.783405\pi$
$331$	−12.2357	−	29.5396i	−0.672536	−	1.62364i	0.104751	−	0.994498i	$-0.466595\pi$
$332$	−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	−0.998786	−	0.0492529i	$-0.984316\pi$
$337$	−10.4833	+	15.6894i	−0.571064	+	0.854657i	0.427723	+	0.903910i	$0.359316\pi$
$338$	−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	−0.929858	−	0.367919i	$-0.880071\pi$
$347$	1.30424	−	6.55684i	0.0700151	−	0.351990i	0.999873	+	0.0159288i	$0.00507052\pi$
$348$	−4.41932	−	1.83054i	−0.236900	−	0.0981273i
$349$	8.78644	+	21.2123i	0.470327	+	1.13547i	0.964019	+	0.265833i	$0.0856471\pi$
$349$	8.78644	+	21.2123i	0.470327	+	1.13547i	−0.493692	+	0.869637i	$0.664353\pi$
$350$	−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	$-0.896326\pi$
$353$		−	12.0235i		−	0.639946i	0.947427	−	0.319973i	$-0.103674\pi$
$354$	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	−0.453255	−	0.891381i	$-0.649737\pi$
$359$	9.42715	−	22.7592i	0.497546	−	1.20118i	0.950801	−	0.309802i	$-0.100263\pi$
$360$	−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	−0.147772	−	0.989022i	$-0.547210\pi$
$367$	−12.6970	−	2.52559i	−0.662777	−	0.131835i	−0.515005	+	0.857187i	$0.672210\pi$
$368$	−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	0.851768	−	0.523918i	$-0.175530\pi$
$373$	6.33184	+	6.33184i	0.327850	+	0.327850i	−0.523918	+	0.851768i	$0.675530\pi$
$374$	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	0.443035	−	0.896505i	$-0.353902\pi$
$379$	−4.19895	−	2.80565i	−0.215686	−	0.144117i	−0.658720	+	0.752388i	$0.728902\pi$
$380$	−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	−0.977653	−	0.210227i	$-0.932580\pi$
$383$	−2.69474	+	6.50569i	−0.137695	+	0.332425i	0.839958	+	0.542652i	$0.182580\pi$
$384$	−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	0.125863	−	0.992048i	$-0.459830\pi$
$389$	−9.59769	−	3.97549i	−0.486622	−	0.201565i	−0.612485	+	0.790482i	$0.709830\pi$
$390$	−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	0.396728	−	0.917936i	$-0.370146\pi$
$397$	−12.0178	−	17.9859i	−0.603156	−	0.902687i	−0.999884	+	0.0152497i	$0.995146\pi$
$398$	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	0.772278	−	0.635285i	$-0.219117\pi$
$401$	33.1362	−	22.1409i	1.65474	−	1.10566i	0.882465	−	0.470379i	$-0.155883\pi$
$402$	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	$-0.885499\pi$
$409$		−	14.2379i		−	0.704017i	0.935997	−	0.352008i	$-0.114501\pi$
$410$	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	0.817350	−	0.576142i	$-0.195442\pi$
$419$	27.6748	+	5.50486i	1.35200	+	0.268930i	0.534653	+	0.845072i	$0.320442\pi$
$420$	2.15141	−	0.415344i	0.104978	−	0.0202667i
$421$	8.88753	−	8.88753i	0.433152	−	0.433152i	−0.456547	−	0.889699i	$-0.650914\pi$
$421$	8.88753	−	8.88753i	0.433152	−	0.433152i	0.889699	+	0.456547i	$0.150914\pi$
$422$	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	0.195541	−	0.980695i	$-0.437354\pi$
$431$	0.0187197	+	0.00372358i	0.000901697	+	0.000179359i	−0.194639	+	0.980875i	$0.562354\pi$
$432$	−0.800495	+	4.02436i	−0.0385138	+	0.193622i
$433$	10.2732	+	4.25531i	0.493700	+	0.204497i	0.615621	−	0.788043i	$-0.288905\pi$
$433$	10.2732	+	4.25531i	0.493700	+	0.204497i	−0.121921	+	0.992540i	$0.538905\pi$
$434$	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	0.580846	−	0.814013i	$-0.302722\pi$
$439$	29.9406	−	5.95556i	1.42899	−	0.284243i	0.848141	+	0.529770i	$0.177722\pi$
$440$	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	−0.512315	−	0.858798i	$-0.671212\pi$
$443$	7.29263	−	7.29263i	0.346483	−	0.346483i	0.858798	+	0.512315i	$0.171212\pi$
$444$	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	−0.994695	−	0.102864i	$-0.967199\pi$
$449$	−27.1294	+	18.1273i	−1.28031	+	0.855479i	−0.285619	+	0.958343i	$0.592199\pi$
$450$	−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	−0.380097	−	0.924947i	$-0.624109\pi$
$457$	0.110508	−	0.0457737i	0.00516933	−	0.00214120i	0.385267	+	0.922805i	$0.374109\pi$
$458$	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	0.877203	−	0.480120i	$-0.159407\pi$
$461$	24.8629	+	10.2986i	1.15798	+	0.479652i	0.280780	+	0.959772i	$0.409407\pi$
$462$	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	0.464194	+	0.885734i	$0.346344\pi$
$467$	−10.5965	+	25.5823i	−0.490349	+	1.18381i	−0.954543	+	0.298074i	$0.903656\pi$
$468$	−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	−0.771829	−	0.635830i	$-0.780658\pi$
$479$	−6.61121	−	33.2368i	−0.302074	−	1.51863i	0.469755	−	0.882797i	$-0.344342\pi$
$480$	−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	−0.982406	−	0.186756i	$-0.940203\pi$
$487$	−26.1687	+	17.4854i	−1.18582	+	0.792337i	−0.203410	+	0.979094i	$0.565203\pi$
$488$	−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	−0.724196	−	0.689594i	$-0.757789\pi$
$491$	6.10478	−	14.7382i	0.275505	−	0.665128i	0.999701	+	0.0244668i	$0.00778882\pi$
$492$	−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	0.583735	+	0.811944i	$0.301591\pi$
$499$	−5.94832	+	29.9042i	−0.266283	+	1.33870i	−0.850018	+	0.526753i	$0.823409\pi$
$500$	−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	0.733858	+	0.679303i	$0.237718\pi$
$503$	−4.57741	+	23.0122i	−0.204096	+	1.02606i	−0.937954	+	0.346759i	$0.887282\pi$
$504$	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	−0.652505	−	0.757784i	$-0.726282\pi$
$521$	5.48546	−	27.5773i	0.240323	−	1.20818i	0.892828	−	0.450399i	$-0.148718\pi$
$522$	2.99866	+	15.0753i	0.131248	+	0.659827i
$523$		−	13.3104i		−	0.582022i	−0.956720	−	0.291011i	$-0.906008\pi$
$523$		−	13.3104i		−	0.582022i	0.956720	−	0.291011i	$-0.0939917\pi$
$524$	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	0.992260	−	0.124174i	$-0.0396281\pi$
$541$	0.651544	+	3.27553i	0.0280121	+	0.140826i	−0.964248	+	0.265000i	$0.914628\pi$
$542$	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	0.931122	−	0.364707i	$-0.118831\pi$
$547$	22.2304	+	14.8539i	0.950502	+	0.635105i	0.0193799	+	0.999812i	$0.493831\pi$
$548$	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	−0.0388473	−	0.999245i	$-0.512369\pi$
$563$	15.1918	−	6.29264i	0.640257	−	0.265203i	0.679104	+	0.734042i	$0.262369\pi$
$564$	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	−0.978671	−	0.205436i	$-0.934139\pi$
$569$	−36.3872	+	15.0721i	−1.52543	+	0.631854i	−0.546759	+	0.837290i	$0.684139\pi$
$570$	2.01059	−	4.77763i	0.0842145	−	0.200113i
$571$	1.17670	−	0.786243i	0.0492432	−	0.0329033i	−0.530705	−	0.847557i	$-0.678073\pi$
$571$	1.17670	−	0.786243i	0.0492432	−	0.0329033i	0.579948	+	0.814653i	$0.303073\pi$
$572$	−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	−0.390546	−	0.920584i	$-0.627714\pi$
$577$	12.7320	−	12.7320i	0.530038	−	0.530038i	0.920584	+	0.390546i	$0.127714\pi$
$578$	−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	0.133420	−	0.991060i	$-0.457404\pi$
$587$	−11.4604	−	4.74706i	−0.473022	−	0.195932i	−0.606443	+	0.795127i	$0.707404\pi$
$588$	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	0.981253	−	0.192724i	$-0.0617322\pi$
$593$	3.68016	+	8.88469i	0.151126	+	0.364850i	−0.830127	+	0.557574i	$0.811732\pi$
$594$	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	−0.478710	−	0.877973i	$-0.658895\pi$
$599$	9.77177	−	9.77177i	0.399264	−	0.399264i	0.877973	+	0.478710i	$0.158895\pi$
$600$	2.13489	−	3.11838i	0.0871566	−	0.127307i
$601$	6.41758	+	1.27654i	0.261779	+	0.0520710i	0.324235	−	0.945977i	$-0.394893\pi$
$601$	6.41758	+	1.27654i	0.261779	+	0.0520710i	−0.0624559	+	0.998048i	$0.519893\pi$
$602$	−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	0.985647	+	0.168817i	$0.0539948\pi$
$607$	3.44015	+	17.2948i	0.139632	+	0.701975i	−0.846016	+	0.533158i	$0.821005\pi$
$608$			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	−0.307017	−	0.951704i	$-0.599331\pi$
$613$	15.9617	−	15.9617i	0.644687	−	0.644687i	0.951704	+	0.307017i	$0.0993310\pi$
$614$	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	−0.245479	−	0.969402i	$-0.578945\pi$
$617$	−2.51621	+	0.500505i	−0.101299	+	0.0201496i	0.144181	+	0.989551i	$0.453945\pi$
$618$	5.19724	−	3.47269i	0.209064	−	0.139692i
$619$	−25.8916	+	17.3002i	−1.04067	+	0.695354i	−0.953670	−	0.300854i	$-0.902728\pi$
$619$	−25.8916	+	17.3002i	−1.04067	+	0.695354i	−0.0870005	+	0.996208i	$0.527728\pi$
$620$	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	0.395318	−	0.918544i	$-0.370634\pi$
$631$	0.636571	+	0.263677i	0.0253415	+	0.0104968i	−0.369977	+	0.929041i	$0.620634\pi$
$632$	−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	0.298976	−	0.954261i	$-0.403355\pi$
$641$	−11.8547	−	7.92106i	−0.468233	−	0.312863i	−0.767209	+	0.641397i	$0.778355\pi$
$642$	−1.97438			−0.0779225
$643$	37.0546	+	24.7591i	1.46129	+	0.976403i	0.995820	+	0.0913390i	$0.0291147\pi$
$643$	37.0546	+	24.7591i	1.46129	+	0.976403i	0.465470	+	0.885064i	$0.345885\pi$
$644$	−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	0.981622	−	0.190837i	$-0.0611200\pi$
$647$	20.1146	+	20.1146i	0.790785	+	0.790785i	−0.190837	+	0.981622i	$0.561120\pi$
$648$	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	−0.176465	−	0.984307i	$-0.556466\pi$
$653$	−18.3010	−	3.64030i	−0.716175	−	0.142456i	−0.539710	+	0.841851i	$0.681466\pi$
$654$	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	0.380013	−	0.924981i	$-0.375919\pi$
$659$	−13.9899	−	13.9899i	−0.544968	−	0.544968i	−0.924981	+	0.380013i	$0.875919\pi$
$660$	4.64518	−	0.896785i	0.180813	−	0.0349073i
$661$	12.9548	−	31.2756i	0.503882	−	1.21648i	−0.443472	−	0.896288i	$-0.646253\pi$
$661$	12.9548	−	31.2756i	0.503882	−	1.21648i	0.947353	−	0.320190i	$-0.103747\pi$
$662$	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	0.578710	+	0.815533i	$0.303556\pi$
$673$	−6.95354	+	34.9578i	−0.268039	+	1.34753i	−0.846750	+	0.531992i	$0.821444\pi$
$674$	−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	−0.273481	−	0.961877i	$-0.588175\pi$
$677$	18.7295	−	28.0307i	0.719835	−	1.07731i	0.993315	−	0.115431i	$-0.0368250\pi$
$678$	−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	0.238363	+	0.971176i	$0.423389\pi$
$683$	−19.6034	+	29.3386i	−0.750104	+	1.12261i	−0.988467	+	0.151434i	$0.951611\pi$
$684$	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	−0.991023	−	0.133694i	$-0.957316\pi$
$691$	−0.638102	+	3.20795i	−0.0242745	+	0.122036i	0.966748	+	0.255731i	$0.0823160\pi$
$692$	−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	0.365641	−	0.930756i	$-0.380850\pi$
$701$	−14.9622	−	14.9622i	−0.565115	−	0.565115i	−0.930756	+	0.365641i	$0.880850\pi$
$702$	−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	−0.310605	−	0.950539i	$-0.600532\pi$
$709$	18.2779	−	27.3548i	0.686442	−	1.02733i	0.997047	−	0.0767938i	$-0.0244683\pi$
$710$	−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	0.959013	−	0.283363i	$-0.0914500\pi$
$719$	28.5361	+	19.0672i	1.06422	+	0.711088i	0.105205	+	0.994451i	$0.466450\pi$
$720$	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	−0.171228	−	0.985231i	$-0.554774\pi$
$733$	10.9476	−	4.53464i	0.404359	−	0.167491i	0.575587	+	0.817741i	$0.304774\pi$
$734$	−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	−0.801742	−	0.597670i	$-0.796093\pi$
$739$	−25.7178	+	10.6526i	−0.946043	+	0.391864i	−0.144301	+	0.989534i	$0.546093\pi$
$740$	−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	0.238908	−	0.971042i	$-0.423210\pi$
$743$	22.6578	−	4.50691i	0.831233	−	0.165342i	0.592324	+	0.805700i	$0.298210\pi$
$744$	−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	0.161270	−	0.986910i	$-0.448441\pi$
$751$	18.8525	−	3.75000i	0.687938	−	0.136839i	0.526668	+	0.850071i	$0.323441\pi$
$752$			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	0.967006	−	0.254755i	$-0.0819948\pi$
$757$	40.4627	+	16.7602i	1.47064	+	0.609160i	0.503637	+	0.863915i	$0.331995\pi$
$758$	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	−0.398335	+	0.917240i	$0.630412\pi$
$761$	−36.2918	+	36.2918i	−1.31558	+	1.31558i	−0.917240	+	0.398335i	$0.869588\pi$
$762$	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	−0.936551	−	0.350532i	$-0.886001\pi$
$769$	−16.2508	+	16.2508i	−0.586018	+	0.586018i	0.350532	+	0.936551i	$0.386001\pi$
$770$	−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	0.697344	−	0.716737i	$-0.254365\pi$
$773$	19.0069	+	7.87291i	0.683630	+	0.283169i	−0.0137132	+	0.999906i	$0.504365\pi$
$774$	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	0.0826904	−	0.996575i	$-0.473649\pi$
$787$	15.1618	−	3.01587i	0.540459	−	0.107504i	0.457769	+	0.889071i	$0.348649\pi$
$788$	−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	−0.0845345	−	0.996421i	$-0.526940\pi$
$797$	15.8170	−	6.55161i	0.560266	−	0.232070i	0.644801	+	0.764351i	$0.276940\pi$
$798$	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	0.789161	−	0.614186i	$-0.210515\pi$
$809$	−2.28315	−	3.41698i	−0.0802713	−	0.120134i	−0.869433	+	0.494051i	$0.835515\pi$
$810$	−9.16730	−	1.87729i	−0.322106	−	0.0659611i
$811$	12.9936	+	8.68206i	0.456268	+	0.304868i	0.762383	−	0.647126i	$-0.224029\pi$
$811$	12.9936	+	8.68206i	0.456268	+	0.304868i	−0.306115	+	0.951994i	$0.599029\pi$
$812$	−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	−0.980129	−	0.198360i	$-0.936438\pi$
$821$	−12.0856	+	18.0873i	−0.421789	+	0.631252i	0.558340	+	0.829612i	$0.311438\pi$
$822$	7.32345	+	10.9603i	0.255435	+	0.382285i
$823$	−41.6648	−	8.28765i	−1.45234	−	0.288889i	−0.595038	−	0.803697i	$-0.702863\pi$
$823$	−41.6648	−	8.28765i	−1.45234	−	0.288889i	−0.857305	+	0.514808i	$0.827863\pi$
$824$	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	−0.784550	−	0.620066i	$-0.787106\pi$
$827$	−14.7216	+	9.83663i	−0.511918	+	0.342053i	0.272632	+	0.962119i	$0.412106\pi$
$828$	−18.0006	+	3.58053i	−0.625563	+	0.124432i
$829$	15.2630	+	15.2630i	0.530106	+	0.530106i	0.920604	−	0.390498i	$-0.127697\pi$
$829$	15.2630	+	15.2630i	0.530106	+	0.530106i	−0.390498	+	0.920604i	$0.627697\pi$
$830$	−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	−0.999672	−	0.0256255i	$-0.991842\pi$
$839$	−1.92009	+	9.65297i	−0.0662890	+	0.333257i	0.933383	+	0.358883i	$0.116842\pi$
$840$	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	−0.726197	−	0.687486i	$-0.758714\pi$
$853$	5.45750	−	8.16772i	0.186861	−	0.279657i	0.913058	+	0.407829i	$0.133714\pi$
$854$	−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	−0.999987	−	0.00504986i	$-0.998393\pi$
$857$	−2.17179	+	10.9183i	−0.0741870	+	0.372963i	0.925800	+	0.378013i	$0.123393\pi$
$858$	−8.02557	−	3.32430i	−0.273988	−	0.113490i
$859$	18.6818	+	45.1018i	0.637414	+	1.53885i	0.830113	+	0.557595i	$0.188276\pi$
$859$	18.6818	+	45.1018i	0.637414	+	1.53885i	−0.192700	+	0.981258i	$0.561724\pi$
$860$	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	$-0.985960\pi$
$863$		−	2.59072i		−	0.0881891i	0.999027	−	0.0440945i	$-0.0140403\pi$
$864$	−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	0.214206	−	0.976788i	$-0.431283\pi$
$877$	1.13442	+	0.225649i	0.0383065	+	0.00761964i	−0.175900	+	0.984408i	$0.556283\pi$
$878$	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	0.965979	−	0.258620i	$-0.0832677\pi$
$881$	−0.755065	−	3.79597i	−0.0254388	−	0.127889i	−0.991418	+	0.130731i	$0.958268\pi$
$882$	−11.9354	+	4.94383i	−0.401887	+	0.166467i
$883$	40.7312	+	40.7312i	1.37071	+	1.37071i	0.859386	+	0.511327i	$0.170846\pi$
$883$	40.7312	+	40.7312i	1.37071	+	1.37071i	0.511327	+	0.859386i	$0.329154\pi$
$884$	−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	0.909581	−	0.415526i	$-0.136403\pi$
$887$	26.0230	+	17.3880i	0.873767	+	0.583832i	−0.0358145	+	0.999358i	$0.511403\pi$
$888$	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	0.892694	−	0.450664i	$-0.148813\pi$
$907$	4.05715	+	6.07195i	0.134715	+	0.201616i	−0.757978	+	0.652280i	$0.773813\pi$
$908$	−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	−0.211885	−	0.977295i	$-0.567960\pi$
$911$	18.4094	−	12.3008i	0.609932	−	0.407543i	0.821817	+	0.569751i	$0.192960\pi$
$912$	−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	$0.108427\pi$
$919$			20.2555i			0.668167i	−0.942543	+	0.334084i	$0.891573\pi$
$920$	−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	0.799503	−	0.600662i	$-0.205096\pi$
$929$	39.8759	+	7.93180i	1.30828	+	0.260234i	0.508782	+	0.860896i	$0.330096\pi$
$930$	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	−0.971122	−	0.238585i	$-0.923317\pi$
$937$	−13.8708	−	33.4871i	−0.453140	−	1.09398i	0.517982	−	0.855392i	$-0.326683\pi$
$938$	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	−0.391608	−	0.920132i	$-0.628081\pi$
$941$	−33.9128	−	6.74568i	−1.10553	−	0.219903i	−0.713918	+	0.700229i	$0.753081\pi$
$942$	−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	−0.805049	−	0.593208i	$-0.797861\pi$
$947$	−8.87170	−	44.6011i	−0.288292	−	1.44934i	0.516758	−	0.856132i	$-0.327139\pi$
$948$		−	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	0.0422445	−	0.999107i	$-0.486549\pi$
$953$	32.1473	−	32.1473i	1.04135	−	1.04135i	0.999107	−	0.0422445i	$-0.0134509\pi$
$954$	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	−0.675008	−	0.737810i	$-0.735860\pi$
$967$	−19.6095	+	8.12253i	−0.630600	+	0.261203i	0.0444081	+	0.999013i	$0.485860\pi$
$968$	−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	0.846760	−	0.531975i	$-0.178550\pi$
$971$	33.3218	+	13.8023i	1.06935	+	0.442938i	0.222587	+	0.974913i	$0.428550\pi$
$972$	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	−0.980383	−	0.197102i	$-0.936847\pi$
$977$	−4.61901	+	11.1513i	−0.147775	+	0.356761i	0.832608	+	0.553863i	$0.186847\pi$
$978$	−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	0.461856	−	0.886955i	$-0.347184\pi$
$983$	−5.66979	−	3.78843i	−0.180838	−	0.120832i	−0.642695	+	0.766122i	$0.722184\pi$
$984$	−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	−0.688324	−	0.725403i	$-0.741653\pi$
$991$	7.72117	−	11.5555i	0.245271	−	0.367074i	0.933595	+	0.358329i	$0.116653\pi$
$992$	−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	−0.829376	−	0.558691i	$-0.811304\pi$
$997$	−19.9115	+	13.3044i	−0.630602	+	0.421355i	0.198774	+	0.980045i	$0.436304\pi$
$998$	−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.57.2	yes	40
5.2	odd	4		850.2.v.d.193.4		40
5.3	odd	4		170.2.r.b.23.2	yes	40
5.4	even	2		850.2.s.d.57.4		40
17.3	odd	16		170.2.r.b.37.2	yes	40
85.3	even	16	inner	170.2.o.b.3.2	✓	40
85.37	even	16		850.2.s.d.343.4		40
85.54	odd	16		850.2.v.d.207.4		40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
170.2.o.b.3.2	✓	40	85.3	even	16	inner
170.2.o.b.57.2	yes	40	1.1	even	1	trivial
170.2.r.b.23.2	yes	40	5.3	odd	4
170.2.r.b.37.2	yes	40	17.3	odd	16
850.2.s.d.57.4		40	5.4	even	2
850.2.s.d.343.4		40	85.37	even	16
850.2.v.d.193.4		40	5.2	odd	4
850.2.v.d.207.4		40	85.54	odd	16

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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