LMFDB - Embedded newform 170.2.r.b.23.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [170,2,Mod(23,170)]

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, 15]))

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

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

chi := DirichletCharacter("170.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 170 = 2 \cdot 5 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	170.r (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			23.2
Character	$\chi$	$=$	170.23
Dual form			170.2.r.b.37.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.923880 - 0.382683i) q^{2} +(-0.628452 - 0.419918i) q^{3} +(0.707107 - 0.707107i) q^{4} +(-0.448594 - 2.19061i) q^{5} +(-0.741309 - 0.147456i) q^{6} +(1.27154 + 0.252926i) q^{7} +(0.382683 - 0.923880i) q^{8} +(-0.929430 - 2.24384i) q^{9} +O(q^{10})$	\(q+(0.923880 - 0.382683i) q^{2} +(-0.628452 - 0.419918i) q^{3} +(0.707107 - 0.707107i) q^{4} +(-0.448594 - 2.19061i) q^{5} +(-0.741309 - 0.147456i) q^{6} +(1.27154 + 0.252926i) q^{7} +(0.382683 - 0.923880i) q^{8} +(-0.929430 - 2.24384i) q^{9} +(-1.25276 - 1.85219i) q^{10} +(-0.546102 + 2.74544i) q^{11} +(-0.741309 + 0.147456i) q^{12} +4.10579 q^{13} +(1.27154 - 0.252926i) q^{14} +(-0.637956 + 1.56506i) q^{15} -1.00000i q^{16} +(-2.50434 + 3.27541i) q^{17} +(-1.71736 - 1.71736i) q^{18} +(1.17368 - 2.83351i) q^{19} +(-1.86620 - 1.23179i) q^{20} +(-0.692896 - 0.692896i) q^{21} +(0.546102 + 2.74544i) q^{22} +(4.19830 + 6.28321i) q^{23} +(-0.628452 + 0.419918i) q^{24} +(-4.59753 + 1.96539i) q^{25} +(3.79325 - 1.57122i) q^{26} +(-0.800495 + 4.02436i) q^{27} +(1.07796 - 0.720272i) q^{28} +(-3.51604 + 5.26212i) q^{29} +(0.00952989 + 1.69007i) q^{30} +(-0.355585 - 1.78765i) q^{31} +(-0.382683 - 0.923880i) 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} +(0.190094 - 0.284496i) q^{37} -3.06697i q^{38} +(-2.58029 - 1.72409i) q^{39} +(-2.19553 - 0.423862i) q^{40} +(-1.73241 - 2.59274i) q^{41} +(-0.905313 - 0.374993i) q^{42} +(7.35100 + 3.04488i) q^{43} +(1.55517 + 2.32747i) q^{44} +(-4.49844 + 3.04259i) q^{45} +(6.28321 + 4.19830i) q^{46} +7.90940i q^{47} +(-0.419918 + 0.628452i) 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} +(-4.29587 - 10.3711i) q^{53} +(0.800495 + 4.02436i) q^{54} +(6.25917 - 0.0352940i) q^{55} +(0.720272 - 1.07796i) q^{56} +(-1.92744 + 1.28787i) q^{57} +(-1.23467 + 6.20709i) q^{58} +(9.44117 - 3.91066i) q^{59} +(0.655565 + 1.55777i) q^{60} +(5.15548 - 3.44478i) q^{61} +(-1.01262 - 1.51549i) q^{62} +(-0.614286 - 3.08822i) q^{63} +(-0.707107 - 0.707107i) q^{64} +(-1.84183 - 8.99417i) q^{65} +(0.809661 - 1.95470i) q^{66} +(0.944522 + 0.944522i) q^{67} +(0.545225 + 4.08690i) q^{68} -5.71164i q^{69} +(-1.12447 - 2.67200i) q^{70} +(-7.94978 + 1.58131i) q^{71} -2.42872 q^{72} +(1.75551 - 0.349193i) q^{73} +(0.0667522 - 0.335586i) q^{74} +(3.71463 + 0.695432i) q^{75} +(-1.17368 - 2.83351i) q^{76} +(-1.38879 + 3.35283i) q^{77} +(-3.04366 - 0.605422i) q^{78} +(-16.2415 - 3.23064i) q^{79} +(-2.19061 + 0.448594i) q^{80} +(-2.95911 + 2.95911i) q^{81} +(-2.59274 - 1.73241i) q^{82} +(-3.31735 + 1.37409i) q^{83} -0.979904 q^{84} +(8.29856 + 4.01670i) q^{85} +7.95666 q^{86} +(4.41932 - 1.83054i) q^{87} +(2.32747 + 1.55517i) q^{88} +(7.01489 - 7.01489i) q^{89} +(-2.99167 + 4.53247i) q^{90} +(5.22070 + 1.03846i) q^{91} +(7.41155 + 1.47425i) q^{92} +(-0.527197 + 1.27277i) q^{93} +(3.02679 + 7.30733i) q^{94} +(-6.73361 - 1.29997i) q^{95} +(-0.147456 + 0.741309i) q^{96} +(8.19767 - 1.63062i) q^{97} -5.31920 q^{98} +(6.66790 - 1.32633i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q+O(q^{10}) $ 40 * q	$ 40 q - 16 q^{10} - 16 q^{18} + 8 q^{25} - 8 q^{26} + 24 q^{27} - 8 q^{28} + 8 q^{29} + 16 q^{30} - 16 q^{31} - 32 q^{33} + 8 q^{34} - 32 q^{35} - 32 q^{39} - 56 q^{41} - 24 q^{42} + 16 q^{43} + 16 q^{44} + 24 q^{45} + 16 q^{49} - 32 q^{51} - 16 q^{52} + 16 q^{53} - 24 q^{54} - 8 q^{55} - 8 q^{56} - 120 q^{57} + 16 q^{58} + 8 q^{60} + 24 q^{61} - 8 q^{62} - 24 q^{63} - 32 q^{65} + 16 q^{67} - 8 q^{70} + 24 q^{71} + 56 q^{72} + 88 q^{73} + 32 q^{74} + 8 q^{75} + 24 q^{77} + 32 q^{78} - 104 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} + 136 q^{85} + 96 q^{86} + 136 q^{87} - 16 q^{89} + 24 q^{90} + 48 q^{91} - 8 q^{92} - 8 q^{93} - 8 q^{94} - 136 q^{95} + 16 q^{97} + 72 q^{98} + 160 q^{99}+O(q^{100}) $ 40 * q - 16 * q^10 - 16 * q^18 + 8 * q^25 - 8 * q^26 + 24 * q^27 - 8 * q^28 + 8 * q^29 + 16 * q^30 - 16 * q^31 - 32 * q^33 + 8 * q^34 - 32 * q^35 - 32 * q^39 - 56 * q^41 - 24 * q^42 + 16 * q^43 + 16 * q^44 + 24 * q^45 + 16 * q^49 - 32 * q^51 - 16 * q^52 + 16 * q^53 - 24 * q^54 - 8 * q^55 - 8 * q^56 - 120 * q^57 + 16 * q^58 + 8 * q^60 + 24 * q^61 - 8 * q^62 - 24 * q^63 - 32 * q^65 + 16 * q^67 - 8 * q^70 + 24 * q^71 + 56 * q^72 + 88 * q^73 + 32 * q^74 + 8 * q^75 + 24 * q^77 + 32 * q^78 - 104 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 + 136 * q^85 + 96 * q^86 + 136 * q^87 - 16 * q^89 + 24 * q^90 + 48 * q^91 - 8 * q^92 - 8 * q^93 - 8 * q^94 - 136 * q^95 + 16 * q^97 + 72 * q^98 + 160 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$71$	$137$
$\chi(n)$	$e\left(\frac{15}{16}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	0.923880	−	0.382683i	0.653281	−	0.270598i
$2$	0.923880	−	0.382683i	0.653281	−	0.270598i
$3$	−0.628452	−	0.419918i	−0.362837	−	0.242440i	0.360766	−	0.932656i	$-0.382515\pi$
$3$	−0.628452	−	0.419918i	−0.362837	−	0.242440i	−0.723603	+	0.690217i	$0.757515\pi$
$4$	0.707107	−	0.707107i	0.353553	−	0.353553i
$5$	−0.448594	−	2.19061i	−0.200618	−	0.979670i
$5$	−0.448594	−	2.19061i	−0.200618	−	0.979670i
$6$	−0.741309	−	0.147456i	−0.302638	−	0.0601985i
$7$	1.27154	+	0.252926i	0.480599	+	0.0955971i	0.429444	−	0.903094i	$-0.358710\pi$
$7$	1.27154	+	0.252926i	0.480599	+	0.0955971i	0.0511552	+	0.998691i	$0.483710\pi$
$8$	0.382683	−	0.923880i	0.135299	−	0.326641i
$9$	−0.929430	−	2.24384i	−0.309810	−	0.747947i
$10$	−1.25276	−	1.85219i	−0.396156	−	0.585713i
$11$	−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	$0.923828\pi$
$12$	−0.741309	+	0.147456i	−0.213998	+	0.0425668i
$13$	4.10579			1.13874			0.569370	−	0.822081i	$-0.307187\pi$
$13$	4.10579			1.13874			0.569370	+	0.822081i	$0.307187\pi$
$14$	1.27154	−	0.252926i	0.339835	−	0.0675973i
$15$	−0.637956	+	1.56506i	−0.164719	+	0.404098i
$16$		−	1.00000i		−	0.250000i
$17$	−2.50434	+	3.27541i	−0.607392	+	0.794402i
$17$	−2.50434	+	3.27541i	−0.607392	+	0.794402i
$18$	−1.71736	−	1.71736i	−0.404786	−	0.404786i
$19$	1.17368	−	2.83351i	0.269260	−	0.650051i	−0.730189	−	0.683245i	$-0.760568\pi$
$19$	1.17368	−	2.83351i	0.269260	−	0.650051i	0.999449	+	0.0331943i	$0.0105680\pi$
$20$	−1.86620	−	1.23179i	−0.417295	−	0.275437i
$21$	−0.692896	−	0.692896i	−0.151202	−	0.151202i
$22$	0.546102	+	2.74544i	0.116429	+	0.585330i
$23$	4.19830	+	6.28321i	0.875407	+	1.31014i	0.949783	+	0.312909i	$0.101303\pi$
$23$	4.19830	+	6.28321i	0.875407	+	1.31014i	−0.0743761	+	0.997230i	$0.523697\pi$
$24$	−0.628452	+	0.419918i	−0.128282	+	0.0857154i
$25$	−4.59753	+	1.96539i	−0.919505	+	0.393078i
$26$	3.79325	−	1.57122i	0.743918	−	0.308141i
$27$	−0.800495	+	4.02436i	−0.154055	+	0.774488i
$28$	1.07796	−	0.720272i	0.203716	−	0.136119i
$29$	−3.51604	+	5.26212i	−0.652912	+	0.977151i	0.346326	+	0.938114i	$0.387429\pi$
$29$	−3.51604	+	5.26212i	−0.652912	+	0.977151i	−0.999238	+	0.0390371i	$0.987571\pi$
$30$	0.00952989	+	1.69007i	0.00173991	+	0.308562i
$31$	−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	$0.989837\pi$
$32$	−0.382683	−	0.923880i	−0.0676495	−	0.163320i
$33$	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
$37$	0.190094	−	0.284496i	0.0312513	−	0.0467709i	−0.815515	−	0.578736i	$-0.803546\pi$
$37$	0.190094	−	0.284496i	0.0312513	−	0.0467709i	0.846766	+	0.531965i	$0.178546\pi$
$38$		−	3.06697i		−	0.497527i
$39$	−2.58029	−	1.72409i	−0.413177	−	0.276076i
$40$	−2.19553	−	0.423862i	−0.347143	−	0.0670185i
$41$	−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	$0.890794\pi$
$42$	−0.905313	−	0.374993i	−0.139693	−	0.0578627i
$43$	7.35100	+	3.04488i	1.12102	+	0.464340i	0.864718	−	0.502257i	$-0.167497\pi$
$43$	7.35100	+	3.04488i	1.12102	+	0.464340i	0.256299	+	0.966598i	$0.417497\pi$
$44$	1.55517	+	2.32747i	0.234450	+	0.350880i
$45$	−4.49844	+	3.04259i	−0.670588	+	0.453563i
$46$	6.28321	+	4.19830i	0.926408	+	0.619006i
$47$			7.90940i			1.15370i	0.816849	+	0.576852i	$0.195719\pi$
$47$			7.90940i			1.15370i	−0.816849	+	0.576852i	$0.804281\pi$
$48$	−0.419918	+	0.628452i	−0.0606099	+	0.0907092i
$49$	−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
$53$	−4.29587	−	10.3711i	−0.590083	−	1.42459i	−0.883422	−	0.468578i	$-0.844766\pi$
$53$	−4.29587	−	10.3711i	−0.590083	−	1.42459i	0.293339	−	0.956009i	$-0.405234\pi$
$54$	0.800495	+	4.02436i	0.108934	+	0.547646i
$55$	6.25917	−	0.0352940i	0.843986	−	0.00475904i
$56$	0.720272	−	1.07796i	0.0962504	−	0.144049i
$57$	−1.92744	+	1.28787i	−0.255296	+	0.170583i
$58$	−1.23467	+	6.20709i	−0.162120	+	0.815031i
$59$	9.44117	−	3.91066i	1.22914	−	0.509125i	0.328833	−	0.944388i	$-0.393345\pi$
$59$	9.44117	−	3.91066i	1.22914	−	0.509125i	0.900303	+	0.435264i	$0.143345\pi$
$60$	0.655565	+	1.55777i	0.0846330	+	0.201107i
$61$	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	$0.182571\pi$
$62$	−1.01262	−	1.51549i	−0.128603	−	0.192468i
$63$	−0.614286	−	3.08822i	−0.0773927	−	0.389080i
$64$	−0.707107	−	0.707107i	−0.0883883	−	0.0883883i
$65$	−1.84183	−	8.99417i	−0.228451	−	1.11559i
$66$	0.809661	−	1.95470i	0.0996624	−	0.240606i
$67$	0.944522	+	0.944522i	0.115392	+	0.115392i	0.762445	−	0.647053i	$-0.223999\pi$
$67$	0.944522	+	0.944522i	0.115392	+	0.115392i	−0.647053	+	0.762445i	$0.723999\pi$
$68$	0.545225	+	4.08690i	0.0661183	+	0.495609i
$69$		−	5.71164i		−	0.687600i
$70$	−1.12447	−	2.67200i	−0.134400	−	0.319365i
$71$	−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	$0.597217\pi$
$72$	−2.42872			−0.286227
$73$	1.75551	−	0.349193i	0.205467	−	0.0408700i	−0.0912835	−	0.995825i	$-0.529097\pi$
$73$	1.75551	−	0.349193i	0.205467	−	0.0408700i	0.296751	+	0.954955i	$0.404097\pi$
$74$	0.0667522	−	0.335586i	0.00775979	−	0.0390111i
$75$	3.71463	+	0.695432i	0.428928	+	0.0803015i
$76$	−1.17368	−	2.83351i	−0.134630	−	0.325025i
$77$	−1.38879	+	3.35283i	−0.158267	+	0.382090i
$78$	−3.04366	−	0.605422i	−0.344627	−	0.0685505i
$79$	−16.2415	−	3.23064i	−1.82732	−	0.363476i	−0.842724	−	0.538346i	$-0.819049\pi$
$79$	−16.2415	−	3.23064i	−1.82732	−	0.363476i	−0.984591	+	0.174870i	$0.944049\pi$
$80$	−2.19061	+	0.448594i	−0.244917	+	0.0501544i
$81$	−2.95911	+	2.95911i	−0.328791	+	0.328791i
$82$	−2.59274	−	1.73241i	−0.286320	−	0.191313i
$83$	−3.31735	+	1.37409i	−0.364127	+	0.150826i	−0.557243	−	0.830350i	$-0.688141\pi$
$83$	−3.31735	+	1.37409i	−0.364127	+	0.150826i	0.193116	+	0.981176i	$0.438141\pi$
$84$	−0.979904			−0.106916
$85$	8.29856	+	4.01670i	0.900105	+	0.435672i
$86$	7.95666			0.857989
$87$	4.41932	−	1.83054i	0.473801	−	0.196255i
$88$	2.32747	+	1.55517i	0.248109	+	0.165781i
$89$	7.01489	−	7.01489i	0.743576	−	0.743576i	−0.229688	−	0.973264i	$-0.573771\pi$
$89$	7.01489	−	7.01489i	0.743576	−	0.743576i	0.973264	+	0.229688i	$0.0737705\pi$
$90$	−2.99167	+	4.53247i	−0.315350	+	0.477764i
$91$	5.22070	+	1.03846i	0.547278	+	0.108860i
$92$	7.41155	+	1.47425i	0.772707	+	0.153701i
$93$	−0.527197	+	1.27277i	−0.0546678	+	0.131980i
$94$	3.02679	+	7.30733i	0.312190	+	0.753693i
$95$	−6.73361	−	1.29997i	−0.690853	−	0.133374i
$96$	−0.147456	+	0.741309i	−0.0150496	+	0.0756596i
$97$	8.19767	−	1.63062i	0.832347	−	0.165564i	0.239517	−	0.970892i	$-0.423011\pi$
$97$	8.19767	−	1.63062i	0.832347	−	0.165564i	0.592830	+	0.805328i	$0.298011\pi$
$98$	−5.31920			−0.537321
$99$	6.66790	−	1.32633i	0.670149	−	0.133301i
$100$	−1.86120	+	4.64068i	−0.186120	+	0.464068i
$101$		−	8.59165i		−	0.854901i	−0.904039	−	0.427451i	$-0.859412\pi$
$101$		−	8.59165i		−	0.854901i	0.904039	−	0.427451i	$-0.140588\pi$
$102$	2.33947	−	2.05881i	0.231642	−	0.203853i
$103$	−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
$105$	−1.20703	+	1.82869i	−0.117795	+	0.178462i
$106$	−7.93773	−	7.93773i	−0.770981	−	0.770981i
$107$	−0.509613	−	2.56200i	−0.0492661	−	0.247678i	0.948303	−	0.317368i	$-0.102799\pi$
$107$	−0.509613	−	2.56200i	−0.0492661	−	0.247678i	−0.997569	+	0.0696901i	$0.977799\pi$
$108$	2.27962	+	3.41169i	0.219356	+	0.328290i
$109$	0.639385	−	0.427223i	0.0612419	−	0.0409206i	−0.524572	−	0.851366i	$-0.675775\pi$
$109$	0.639385	−	0.427223i	0.0612419	−	0.0409206i	0.585814	+	0.810445i	$0.300775\pi$
$110$	5.76921	−	2.42789i	0.550072	−	0.231490i
$111$	−0.238930	+	0.0989681i	−0.0226782	+	0.00939364i
$112$	0.252926	−	1.27154i	0.0238993	−	0.120150i
$113$	−13.8811	+	9.27509i	−1.30583	+	0.872527i	−0.996909	−	0.0785617i	$-0.974967\pi$
$113$	−13.8811	+	9.27509i	−1.30583	+	0.872527i	−0.308919	+	0.951088i	$0.599967\pi$
$114$	−1.28787	+	1.92744i	−0.120620	+	0.180521i
$115$	11.8807	−	12.0155i	1.10788	−	1.12045i
$116$	1.23467	+	6.20709i	0.114636	+	0.576314i
$117$	−3.81604	−	9.21274i	−0.352793	−	0.851718i
$118$	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
$122$	3.44478	−	5.15548i	0.311876	−	0.466755i
$123$			2.35688i			0.212513i
$124$	−1.51549	−	1.01262i	−0.136095	−	0.0909360i
$125$	6.36782	+	9.18971i	0.569555	+	0.821953i
$126$	−1.74934	−	2.61807i	−0.155843	−	0.233236i
$127$	7.02360	+	2.90927i	0.623244	+	0.258156i	0.671879	−	0.740661i	$-0.265487\pi$
$127$	7.02360	+	2.90927i	0.623244	+	0.258156i	−0.0486358	+	0.998817i	$0.515487\pi$
$128$	−0.923880	−	0.382683i	−0.0816602	−	0.0338248i
$129$	−3.34115	−	5.00038i	−0.294172	−	0.440259i
$130$	−5.14355	−	7.60469i	−0.451120	−	0.666976i
$131$	−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	$0.860200\pi$
$132$		−	2.11575i		−	0.184152i
$133$	2.20905	−	3.30608i	0.191549	−	0.286673i
$134$	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	$0.982446\pi$
$138$	−2.18575	−	5.27686i	−0.186063	−	0.449196i
$139$	1.16771	+	5.87046i	0.0990436	+	0.497926i	0.998183	+	0.0602625i	$0.0191938\pi$
$139$	1.16771	+	5.87046i	0.0990436	+	0.497926i	−0.899139	+	0.437663i	$0.855806\pi$
$140$	−2.06140	−	2.03829i	−0.174220	−	0.172267i
$141$	3.32130	−	4.97067i	0.279704	−	0.418606i
$142$	−6.73950	+	4.50319i	−0.565566	+	0.377899i
$143$	−2.24218	+	11.2722i	−0.187501	+	0.942629i
$144$	−2.24384	+	0.929430i	−0.186987	+	0.0774525i
$145$	13.1045	+	5.34170i	1.08827	+	0.443604i
$146$	1.48825	−	0.994418i	0.123169	−	0.0822986i
$147$	2.23363	+	3.34286i	0.184227	+	0.275715i
$148$	−0.0667522	−	0.335586i	−0.00548700	−	0.0275850i
$149$	−1.51576	−	1.51576i	−0.124176	−	0.124176i	0.642288	−	0.766464i	$-0.277985\pi$
$149$	−1.51576	−	1.51576i	−0.124176	−	0.124176i	−0.766464	+	0.642288i	$0.777985\pi$
$150$	3.69800	−	0.779030i	0.301940	−	0.0636076i
$151$	−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
$153$	9.67710	+	2.57509i	0.782347	+	0.208183i
$154$			3.62908i			0.292439i
$155$	−3.75652	+	1.58088i	−0.301731	+	0.126979i
$156$	−3.04366	+	0.605422i	−0.243688	+	0.0484725i
$157$	−6.23116			−0.497301			−0.248650	−	0.968593i	$-0.579987\pi$
$157$	−6.23116			−0.497301			−0.248650	+	0.968593i	$0.579987\pi$
$158$	−16.2415	+	3.23064i	−1.29211	+	0.257016i
$159$	−1.65529	+	8.32168i	−0.131273	+	0.659952i
$160$	−1.85219	+	1.25276i	−0.146428	+	0.0990391i
$161$	3.74915	+	9.05124i	0.295474	+	0.713338i
$162$	−1.60146	+	3.86627i	−0.125823	+	0.303763i
$163$	12.5545	+	2.49725i	0.983347	+	0.195600i	0.660479	−	0.750844i	$-0.270353\pi$
$163$	12.5545	+	2.49725i	0.983347	+	0.195600i	0.322868	+	0.946444i	$0.395353\pi$
$164$	−3.05834	−	0.608342i	−0.238816	−	0.0475035i
$165$	−3.94840	−	2.60616i	−0.307383	−	0.202889i
$166$	−2.53899	+	2.53899i	−0.197064	+	0.197064i
$167$	−11.1891	−	7.47633i	−0.865840	−	0.578536i	0.0414034	−	0.999143i	$-0.486817\pi$
$167$	−11.1891	−	7.47633i	−0.865840	−	0.578536i	−0.907243	+	0.420607i	$0.861817\pi$
$168$	−0.905313	+	0.374993i	−0.0698464	+	0.0289313i
$169$	3.85750			0.296731
$170$	9.20400	+	0.535224i	0.705914	+	0.0410498i
$171$	−7.44879			−0.569623
$172$	7.35100	−	3.04488i	0.560508	−	0.232170i
$173$	−2.94134	−	1.96534i	−0.223626	−	0.149422i	0.438711	−	0.898628i	$-0.355435\pi$
$173$	−2.94134	−	1.96534i	−0.223626	−	0.149422i	−0.662337	+	0.749206i	$0.730435\pi$
$174$	3.38240	−	3.38240i	0.256419	−	0.256419i
$175$	−6.34306	+	1.33625i	−0.479490	+	0.101011i
$176$	2.74544	+	0.546102i	0.206945	+	0.0411640i
$177$	−7.57548	−	1.50686i	−0.569408	−	0.113262i
$178$	3.79643	−	9.16539i	0.284554	−	0.686975i
$179$	9.22984	+	22.2828i	0.689870	+	1.66549i	0.745042	+	0.667018i	$0.232429\pi$
$179$	9.22984	+	22.2828i	0.689870	+	1.66549i	−0.0551713	+	0.998477i	$0.517571\pi$
$180$	−1.02944	+	5.33232i	−0.0767300	+	0.397447i
$181$	−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	$0.769204\pi$
$182$	5.22070	−	1.03846i	0.386984	−	0.0769758i
$183$	−4.68649			−0.346436
$184$	7.41155	−	1.47425i	0.546387	−	0.108683i
$185$	−0.708495	−	0.288799i	−0.0520896	−	0.0212329i
$186$			1.37763i			0.101013i
$187$	−7.62481	−	8.66423i	−0.557581	−	0.633591i
$188$	5.59279	+	5.59279i	0.407896	+	0.407896i
$189$	−2.03573	+	4.91469i	−0.148078	+	0.357491i
$190$	−6.71852	+	1.37582i	−0.487413	+	0.0998127i
$191$	−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	$0.754731\pi$
$192$	0.147456	+	0.741309i	0.0106417	+	0.0534994i
$193$	−2.29358	−	3.43259i	−0.165096	−	0.247083i	0.739692	−	0.672945i	$-0.234971\pi$
$193$	−2.29358	−	3.43259i	−0.165096	−	0.247083i	−0.904788	+	0.425862i	$0.859971\pi$
$194$	6.94965	−	4.64361i	0.498956	−	0.333391i
$195$	−2.61931	+	6.42582i	−0.187573	+	0.460163i
$196$	−4.91430	+	2.03557i	−0.351022	+	0.145398i
$197$	3.26175	−	16.3979i	0.232390	−	1.16830i	−0.671654	−	0.740865i	$-0.734416\pi$
$197$	3.26175	−	16.3979i	0.232390	−	1.16830i	0.904044	−	0.427440i	$-0.140584\pi$
$198$	5.65277	−	3.77706i	0.401725	−	0.268424i
$199$	−6.11854	+	9.15704i	−0.433732	+	0.649125i	−0.982373	−	0.186933i	$-0.940145\pi$
$199$	−6.11854	+	9.15704i	−0.433732	+	0.649125i	0.548641	+	0.836058i	$0.315145\pi$
$200$	0.0563859	+	4.99968i	0.00398708	+	0.353531i
$201$	−0.196965	−	0.990208i	−0.0138928	−	0.0698439i
$202$	−3.28788	−	7.93765i	−0.231335	−	0.558491i
$203$	−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
$207$	10.1965	−	15.2601i	0.708705	−	1.06065i
$208$		−	4.10579i		−	0.284685i
$209$	7.13828	+	4.76965i	0.493765	+	0.329923i
$210$	−0.415344	+	2.15141i	−0.0286615	+	0.148461i
$211$	−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	$0.896000\pi$
$212$	−10.3711	−	4.29587i	−0.712293	−	0.295042i
$213$	5.66007	+	2.34448i	0.387822	+	0.160641i
$214$	−1.45125	−	2.17196i	−0.0992057	−	0.148472i
$215$	3.37253	−	17.4691i	0.230004	−	1.19138i
$216$	3.41169	+	2.27962i	0.232136	+	0.155108i
$217$		−	2.36301i		−	0.160411i
$218$	0.427223	−	0.639385i	0.0289352	−	0.0433046i
$219$	−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
$223$	−4.87783	−	11.7761i	−0.326644	−	0.788587i	−0.998837	−	0.0482119i	$-0.984648\pi$
$223$	−4.87783	−	11.7761i	−0.326644	−	0.788587i	0.672194	−	0.740376i	$-0.265352\pi$
$224$	−0.252926	−	1.27154i	−0.0168993	−	0.0849587i
$225$	8.68310	+	8.48943i	0.578873	+	0.565962i
$226$	−9.27509	+	13.8811i	−0.616969	+	0.923360i
$227$	5.44517	−	3.63834i	0.361408	−	0.241485i	−0.361587	−	0.932338i	$-0.617765\pi$
$227$	5.44517	−	3.63834i	0.361408	−	0.241485i	0.722995	+	0.690853i	$0.242765\pi$
$228$	−0.452241	+	2.27357i	−0.0299504	+	0.150571i
$229$	−0.274012	+	0.113500i	−0.0181072	+	0.00750026i	−0.391719	−	0.920085i	$-0.628119\pi$
$229$	−0.274012	+	0.113500i	−0.0181072	+	0.00750026i	0.373611	+	0.927585i	$0.378119\pi$
$230$	6.37823	−	15.6474i	0.420568	−	1.03176i
$231$	2.28070	−	1.52391i	0.150059	−	0.100266i
$232$	3.51604	+	5.26212i	0.230839	+	0.345475i
$233$	−4.65723	−	23.4135i	−0.305105	−	1.53387i	−0.763905	−	0.645328i	$-0.776721\pi$
$233$	−4.65723	−	23.4135i	−0.305105	−	1.53387i	0.458800	−	0.888539i	$-0.348279\pi$
$234$	−7.05113	−	7.05113i	−0.460947	−	0.460947i
$235$	17.3264	−	3.54811i	1.13025	−	0.231453i
$236$	3.91066	−	9.44117i	0.254562	−	0.614568i
$237$	8.85042	+	8.85042i	0.574896	+	0.574896i
$238$	−2.35595	+	4.79824i	−0.152713	+	0.311024i
$239$		−	28.2610i		−	1.82805i	−0.405653	−	0.914027i	$-0.632956\pi$
$239$		−	28.2610i		−	1.82805i	0.405653	−	0.914027i	$-0.367044\pi$
$240$	1.56506	+	0.637956i	0.101024	+	0.0411799i
$241$	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	$0.251238\pi$
$242$	3.16432			0.203410
$243$	15.1753	−	3.01856i	0.973497	−	0.193641i
$244$	1.20965	−	6.08130i	0.0774397	−	0.389315i
$245$	−2.25461	+	11.6785i	−0.144042	+	0.746109i
$246$	0.901939	+	2.17747i	0.0575056	+	0.138831i
$247$	4.81887	−	11.6338i	0.306617	−	0.740240i
$248$	−1.78765	−	0.355585i	−0.113516	−	0.0225797i
$249$	2.66180	+	0.529466i	0.168685	+	0.0335535i
$250$	9.39985	+	6.05333i	0.594499	+	0.382846i
$251$	−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	$0.260217\pi$
$252$	−2.61807	−	1.74934i	−0.164923	−	0.110198i
$253$	−19.5429	+	8.09493i	−1.22865	+	0.508924i
$254$	7.60229			0.477010
$255$	−3.52856	−	6.00902i	−0.220967	−	0.376299i
$256$	−1.00000			−0.0625000
$257$	25.2120	−	10.4432i	1.57268	−	0.651426i	0.585449	−	0.810710i	$-0.300918\pi$
$257$	25.2120	−	10.4432i	1.57268	−	0.651426i	0.987233	+	0.159284i	$0.0509184\pi$
$258$	−5.00038	−	3.34115i	−0.311310	−	0.208011i
$259$	0.313670	−	0.313670i	0.0194905	−	0.0194905i
$260$	−7.66221	−	5.05747i	−0.475190	−	0.313651i
$261$	15.0753	+	2.99866i	0.933136	+	0.185612i
$262$	−11.5921	−	2.30581i	−0.716160	−	0.142453i
$263$	−10.0832	+	24.3429i	−0.621755	+	1.50105i	0.227887	+	0.973688i	$0.426818\pi$
$263$	−10.0832	+	24.3429i	−0.621755	+	1.50105i	−0.849641	+	0.527361i	$0.823182\pi$
$264$	−0.809661	−	1.95470i	−0.0498312	−	0.120303i
$265$	−20.7920	+	14.0630i	−1.27724	+	0.863884i
$266$	0.775715	−	3.89978i	0.0475622	−	0.239111i
$267$	−7.35419	+	1.46284i	−0.450069	+	0.0895244i
$268$	1.33576			0.0815943
$269$	24.6323	−	4.89968i	1.50186	−	0.298739i	0.625435	−	0.780276i	$-0.284922\pi$
$269$	24.6323	−	4.89968i	1.50186	−	0.298739i	0.876425	+	0.481538i	$0.159922\pi$
$270$	8.45669	−	3.55888i	0.514658	−	0.216586i
$271$		−	12.6573i		−	0.768876i	−0.923151	−	0.384438i	$-0.874395\pi$
$271$		−	12.6573i		−	0.768876i	0.923151	−	0.384438i	$-0.125605\pi$
$272$	3.27541	+	2.50434i	0.198601	+	0.151848i
$273$	−2.84489	−	2.84489i	−0.172180	−	0.172180i
$274$	−6.67407	+	16.1126i	−0.403195	+	0.973400i
$275$	−2.88514	−	13.6955i	−0.173981	−	0.825872i
$276$	−4.03874	−	4.03874i	−0.243103	−	0.243103i
$277$	−1.38165	−	6.94601i	−0.0830152	−	0.417346i	−0.999837	−	0.0180492i	$-0.994254\pi$
$277$	−1.38165	−	6.94601i	−0.0830152	−	0.417346i	0.916822	−	0.399296i	$-0.130746\pi$
$278$	3.32535	+	4.97673i	0.199441	+	0.298485i
$279$	−3.68070	+	2.45937i	−0.220358	+	0.147238i
$280$	−2.68451	−	1.09427i	−0.160430	−	0.0653949i
$281$	−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	$0.439304\pi$
$282$	1.16628	−	5.86331i	0.0694512	−	0.349155i
$283$	13.0737	−	8.73558i	0.777152	−	0.519276i	−0.102593	−	0.994723i	$-0.532714\pi$
$283$	13.0737	−	8.73558i	0.777152	−	0.519276i	0.879744	+	0.475447i	$0.157714\pi$
$284$	−4.50319	+	6.73950i	−0.267215	+	0.399915i
$285$	3.68587	+	3.64453i	0.218332	+	0.215883i
$286$	2.24218	+	11.2722i	0.132583	+	0.666539i
$287$	−1.54707	−	3.73495i	−0.0913206	−	0.220467i
$288$	−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
$292$	0.994418	−	1.48825i	0.0581939	−	0.0870933i
$293$		−	16.7222i		−	0.976919i	−0.872586	−	0.488460i	$-0.837559\pi$
$293$		−	16.7222i		−	0.976919i	0.872586	−	0.488460i	$-0.162441\pi$
$294$	3.34286	+	2.23363i	0.194960	+	0.130268i
$295$	−12.8020	−	18.9276i	−0.745360	−	1.10201i
$296$	−0.190094	−	0.284496i	−0.0110490	−	0.0165360i
$297$	−10.6115	−	4.39542i	−0.615741	−	0.255048i
$298$	−1.98044	−	0.820325i	−0.114724	−	0.0475202i
$299$	17.2374	+	25.7975i	0.996862	+	1.49191i
$300$	3.11838	−	2.13489i	0.180040	−	0.123258i
$301$	8.57700	+	5.73096i	0.494370	+	0.330327i
$302$			21.4741i			1.23570i
$303$	−3.60779	+	5.39944i	−0.207262	+	0.310190i
$304$	−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	$0.411325\pi$
$308$	1.38879	+	3.35283i	0.0791335	+	0.191045i
$309$	1.21944	+	6.13056i	0.0693718	+	0.348756i
$310$	−2.86560	+	2.89810i	−0.162755	+	0.164601i
$311$	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	$-0.00145137\pi$
$312$	−2.58029	+	1.72409i	−0.146080	+	0.0976076i
$313$	0.218603	−	1.09899i	0.0123562	−	0.0621187i	−0.974115	−	0.226052i	$-0.927418\pi$
$313$	0.218603	−	1.09899i	0.0123562	−	0.0621187i	0.986471	+	0.163933i	$0.0524181\pi$
$314$	−5.75684	+	2.38456i	−0.324877	+	0.134569i
$315$	−6.48952	+	2.73102i	−0.365643	+	0.153876i
$316$	−13.7689	+	9.20009i	−0.774562	+	0.517546i
$317$	9.58222	+	14.3408i	0.538191	+	0.805460i	0.996523	−	0.0833213i	$-0.0265528\pi$
$317$	9.58222	+	14.3408i	0.538191	+	0.805460i	−0.458332	+	0.888781i	$0.651553\pi$
$318$	1.65529	+	8.32168i	0.0928238	+	0.466657i
$319$	−12.5267	−	12.5267i	−0.701362	−	0.701362i
$320$	−1.23179	+	1.86620i	−0.0688591	+	0.104324i
$321$	−0.755562	+	1.82409i	−0.0421713	+	0.101811i
$322$	6.92752	+	6.92752i	0.386056	+	0.386056i
$323$	6.34160	+	10.9403i	0.352856	+	0.608736i
$324$			4.18482i			0.232490i
$325$	−18.8765	+	8.06947i	−1.04708	+	0.447614i
$326$	12.5545	−	2.49725i	0.695331	−	0.138310i
$327$	−0.581221			−0.0321416
$328$	−3.05834	+	0.608342i	−0.168869	+	0.0335901i
$329$	−2.00049	+	10.0572i	−0.110291	+	0.554469i
$330$	−4.64518	−	0.896785i	−0.255709	−	0.0493664i
$331$	−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	$-0.466595\pi$
$332$	−1.37409	+	3.31735i	−0.0754131	+	0.182063i
$333$	−0.815044	−	0.162122i	−0.0446641	−	0.00888425i
$334$	−13.1985	−	2.62534i	−0.722188	−	0.143652i
$335$	1.64537	−	2.49278i	0.0898961	−	0.136195i
$336$	−0.692896	+	0.692896i	−0.0378006	+	0.0378006i
$337$	15.6894	+	10.4833i	0.854657	+	0.571064i	0.903910	−	0.427723i	$-0.140684\pi$
$337$	15.6894	+	10.4833i	0.854657	+	0.571064i	−0.0492529	+	0.998786i	$0.515684\pi$
$338$	3.56387	−	1.47620i	0.193849	−	0.0802948i
$339$	12.6184			0.685338
$340$	8.70820	−	3.02773i	0.472269	−	0.164202i
$341$	5.10206			0.276292
$342$	−6.88179	+	2.85053i	−0.372124	+	0.154139i
$343$	−13.2797	−	8.87318i	−0.717034	−	0.479107i
$344$	5.62621	−	5.62621i	0.303345	−	0.303345i
$345$	−12.5120	+	2.56221i	−0.673621	+	0.137945i
$346$	−3.46954	−	0.690135i	−0.186524	−	0.0371019i
$347$	−6.55684	−	1.30424i	−0.351990	−	0.0700151i	0.0159288	−	0.999873i	$-0.494929\pi$
$347$	−6.55684	−	1.30424i	−0.351990	−	0.0700151i	−0.367919	+	0.929858i	$0.619929\pi$
$348$	1.83054	−	4.41932i	0.0981273	−	0.236900i
$349$	−8.78644	−	21.2123i	−0.470327	−	1.13547i	−0.964019	−	0.265833i	$-0.914353\pi$
$349$	−8.78644	−	21.2123i	−0.470327	−	1.13547i	0.493692	−	0.869637i	$-0.335647\pi$
$350$	−5.34886	+	3.66191i	−0.285909	+	0.195738i
$351$	−3.28666	+	16.5232i	−0.175429	+	0.881941i
$352$	2.74544	−	0.546102i	0.146333	−	0.0291074i
$353$	12.0235			0.639946			0.319973	−	0.947427i	$-0.396326\pi$
$353$	12.0235			0.639946			0.319973	+	0.947427i	$0.396326\pi$
$354$	−7.57548	+	1.50686i	−0.402632	+	0.0800885i
$355$	7.03025	+	16.7055i	0.373127	+	0.886635i
$356$		−	9.92055i		−	0.525788i
$357$	4.00477	−	0.534268i	0.211955	−	0.0282765i
$358$	17.0545	+	17.0545i	0.901359	+	0.901359i
$359$	−9.42715	+	22.7592i	−0.497546	+	1.20118i	0.453255	+	0.891381i	$0.350263\pi$
$359$	−9.42715	+	22.7592i	−0.497546	+	1.20118i	−0.950801	+	0.309802i	$0.899737\pi$
$360$	1.08951	+	5.32037i	0.0574222	+	0.280408i
$361$	6.78379	+	6.78379i	0.357041	+	0.357041i
$362$	4.18088	+	21.0187i	0.219742	+	1.10472i
$363$	−1.32876	−	1.98862i	−0.0697416	−	0.104376i
$364$	4.42589	−	2.95729i	0.231980	−	0.155004i
$365$	−1.55246	−	3.68899i	−0.0812594	−	0.193091i
$366$	−4.32976	+	1.79344i	−0.226320	+	0.0937448i
$367$	−2.52559	+	12.6970i	−0.131835	+	0.662777i	0.857187	+	0.515005i	$0.172210\pi$
$367$	−2.52559	+	12.6970i	−0.131835	+	0.662777i	−0.989022	+	0.147772i	$0.952790\pi$
$368$	6.28321	−	4.19830i	0.327535	−	0.218852i
$369$	−4.20754	+	6.29703i	−0.219036	+	0.327810i
$370$	−0.765082	+	0.00431412i	−0.0397747	+	0.000224281i
$371$	−2.83926	−	14.2739i	−0.147407	−	0.741065i
$372$	0.527197	+	1.27277i	0.0273339	+	0.0659898i
$373$	−6.33184	+	6.33184i	−0.327850	+	0.327850i	−0.851768	−	0.523918i	$-0.824470\pi$
$373$	−6.33184	+	6.33184i	−0.327850	+	0.327850i	0.523918	+	0.851768i	$0.324470\pi$
$374$	−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
$377$	−14.4361	+	21.6052i	−0.743497	+	1.11272i
$378$			5.31962i			0.273612i
$379$	4.19895	+	2.80565i	0.215686	+	0.144117i	0.658720	−	0.752388i	$-0.271098\pi$
$379$	4.19895	+	2.80565i	0.215686	+	0.144117i	−0.443035	+	0.896505i	$0.646098\pi$
$380$	−5.68060	+	3.84216i	−0.291408	+	0.197099i
$381$	−3.19234	−	4.77767i	−0.163548	−	0.244767i
$382$	−0.379568	−	0.157222i	−0.0194204	−	0.00804418i
$383$	−6.50569	−	2.69474i	−0.332425	−	0.137695i	0.210227	−	0.977653i	$-0.432580\pi$
$383$	−6.50569	−	2.69474i	−0.332425	−	0.137695i	−0.542652	+	0.839958i	$0.682580\pi$
$384$	0.419918	+	0.628452i	0.0214289	+	0.0320705i
$385$	7.96774	+	1.53823i	0.406073	+	0.0783953i
$386$	−3.43259	−	2.29358i	−0.174714	−	0.116740i
$387$		−	19.3245i		−	0.982319i
$388$	4.64361	−	6.94965i	0.235743	−	0.352815i
$389$	9.59769	+	3.97549i	0.486622	+	0.201565i	0.612485	−	0.790482i	$-0.290170\pi$
$389$	9.59769	+	3.97549i	0.486622	+	0.201565i	−0.125863	+	0.992048i	$0.540170\pi$
$390$	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
$393$	3.41863	+	8.25330i	0.172447	+	0.416324i
$394$	−3.26175	−	16.3979i	−0.164325	−	0.826116i
$395$	0.208793	+	37.0281i	0.0105055	+	1.86309i
$396$	3.77706	−	5.65277i	0.189805	−	0.284063i
$397$	−17.9859	+	12.0178i	−0.902687	+	0.603156i	−0.917936	−	0.396728i	$-0.870146\pi$
$397$	−17.9859	+	12.0178i	−0.902687	+	0.603156i	0.0152497	+	0.999884i	$0.495146\pi$
$398$	−2.14854	+	10.8015i	−0.107697	+	0.541428i
$399$	−2.77656	+	1.15009i	−0.139002	+	0.0575765i
$400$	1.96539	+	4.59753i	0.0982695	+	0.229876i
$401$	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	$-0.155883\pi$
$402$	−0.560908	−	0.839458i	−0.0279755	−	0.0418684i
$403$	−1.45996	−	7.33970i	−0.0727256	−	0.365616i
$404$	−6.07521	−	6.07521i	−0.302253	−	0.302253i
$405$	7.80970	+	5.15482i	0.388067	+	0.256145i
$406$	−3.13987	+	7.58032i	−0.155829	+	0.376205i
$407$	0.677257	+	0.677257i	0.0335704	+	0.0335704i
$408$	0.198455	−	3.11005i	0.00982501	−	0.153970i
$409$			14.2379i			0.704017i	0.935997	+	0.352008i	$0.114501\pi$
$409$			14.2379i			0.704017i	−0.935997	+	0.352008i	$0.885499\pi$
$410$	−2.63195	+	6.45682i	−0.129983	+	0.318880i
$411$	12.9286	−	2.57165i	0.637719	−	0.126850i
$412$	−8.26991			−0.407429
$413$	12.9940	−	2.58466i	0.639392	−	0.127183i
$414$	3.58053	−	18.0006i	0.175974	−	0.884679i
$415$	4.49825	+	6.65061i	0.220810	+	0.326466i
$416$	−1.57122	−	3.79325i	−0.0770353	−	0.185980i
$417$	1.73126	−	4.17964i	0.0847804	−	0.204678i
$418$	8.42017	+	1.67488i	0.411844	+	0.0819209i
$419$	−27.6748	−	5.50486i	−1.35200	−	0.268930i	−0.534653	−	0.845072i	$-0.679558\pi$
$419$	−27.6748	−	5.50486i	−1.35200	−	0.268930i	−0.817350	+	0.576142i	$0.804558\pi$
$420$	0.439579	+	2.14658i	0.0214493	+	0.104743i
$421$	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	$0.150914\pi$
$422$	−6.26416	−	4.18558i	−0.304935	−	0.203751i
$423$	17.7474	−	7.35123i	0.862910	−	0.357429i
$424$	−11.2257			−0.545166
$425$	5.07632	−	19.9808i	0.246238	−	0.969209i
$426$	6.12642			0.296826
$427$	7.42670	−	3.07624i	0.359403	−	0.148870i
$428$	−2.17196	−	1.45125i	−0.104985	−	0.0701490i
$429$	6.14250	−	6.14250i	0.296563	−	0.296563i
$430$	−3.56932	−	17.4299i	−0.172128	−	0.840546i
$431$	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	$0.562354\pi$
$432$	4.02436	+	0.800495i	0.193622	+	0.0385138i
$433$	−4.25531	+	10.2732i	−0.204497	+	0.493700i	−0.992540	−	0.121921i	$-0.961095\pi$
$433$	−4.25531	+	10.2732i	−0.204497	+	0.493700i	0.788043	+	0.615621i	$0.211095\pi$
$434$	−0.904284	−	2.18314i	−0.0434070	−	0.104794i
$435$	−5.99248	−	8.85982i	−0.287317	−	0.424796i
$436$	0.150021	−	0.754205i	0.00718469	−	0.0361199i
$437$	22.7310	−	4.52147i	1.08737	−	0.216291i
$438$	−1.35287			−0.0646426
$439$	−29.9406	+	5.95556i	−1.42899	+	0.284243i	−0.848141	−	0.529770i	$-0.822278\pi$
$439$	−29.9406	+	5.95556i	−1.42899	+	0.284243i	−0.580846	+	0.814013i	$0.697278\pi$
$440$	2.36267	−	5.79622i	0.112636	−	0.276324i
$441$			12.9188i			0.615183i
$442$	−4.35323	+	16.3593i	−0.207062	+	0.778133i
$443$	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
$445$	−18.5137	−	12.2200i	−0.877634	−	0.579285i
$446$	−9.01305	−	9.01305i	−0.426780	−	0.426780i
$447$	0.316088	+	1.58908i	0.0149504	+	0.0751609i
$448$	−0.720272	−	1.07796i	−0.0340297	−	0.0509290i
$449$	27.1294	−	18.1273i	1.28031	−	0.855479i	0.285619	−	0.958343i	$-0.407801\pi$
$449$	27.1294	−	18.1273i	1.28031	−	0.855479i	0.994695	+	0.102864i	$0.0328008\pi$
$450$	11.2709	+	4.52033i	0.531316	+	0.213091i
$451$	8.06428	−	3.34034i	0.379732	−	0.157290i
$452$	−3.25698	+	16.3739i	−0.153195	+	0.770165i
$453$	13.4955	−	9.01738i	0.634072	−	0.423673i
$454$	3.63834	−	5.44517i	0.170756	−	0.255554i
$455$	−0.0671146	−	11.9023i	−0.00314638	−	0.557991i
$456$	0.452241	+	2.27357i	0.0211781	+	0.106470i
$457$	−0.0457737	−	0.110508i	−0.00214120	−	0.00516933i	0.922805	−	0.385267i	$-0.125891\pi$
$457$	−0.0457737	−	0.110508i	−0.00214120	−	0.00516933i	−0.924947	+	0.380097i	$0.875891\pi$
$458$	−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	$0.409407\pi$
$462$	1.52391	−	2.28070i	0.0708989	−	0.106108i
$463$			24.8552i			1.15512i	0.816349	+	0.577560i	$0.195995\pi$
$463$			24.8552i			1.15512i	−0.816349	+	0.577560i	$0.804005\pi$
$464$	5.26212	+	3.51604i	0.244288	+	0.163228i
$465$	3.02463	+	0.583926i	0.140264	+	0.0270789i
$466$	−13.2627	−	19.8490i	−0.614381	−	0.919486i
$467$	25.5823	+	10.5965i	1.18381	+	0.490349i	0.885734	−	0.464194i	$-0.153656\pi$
$467$	25.5823	+	10.5965i	1.18381	+	0.490349i	0.298074	+	0.954543i	$0.403656\pi$
$468$	−9.21274	−	3.81604i	−0.425859	−	0.176397i
$469$	0.962108	+	1.43990i	0.0444260	+	0.0664882i
$470$	14.6497	−	9.90855i	0.675740	−	0.457047i
$471$	3.91598	+	2.61658i	0.180439	+	0.120565i
$472$		−	10.2190i		−	0.470370i
$473$	−12.3739	+	18.5189i	−0.568955	+	0.851501i
$474$	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
$478$	−10.8150	−	26.1098i	−0.494668	−	1.19423i
$479$	6.61121	+	33.2368i	0.302074	+	1.51863i	0.771829	+	0.635830i	$0.219342\pi$
$479$	6.61121	+	33.2368i	0.302074	+	1.51863i	−0.469755	+	0.882797i	$0.655658\pi$
$480$	1.69007	−	0.00952989i	0.0771406	−	0.000434978i
$481$	0.780487	−	1.16808i	0.0355871	−	0.0532599i
$482$	14.2589	−	9.52749i	0.649475	−	0.433965i
$483$	1.44462	−	7.26260i	0.0657325	−	0.330460i
$484$	2.92345	−	1.21093i	0.132884	−	0.0550424i
$485$	−7.24947	−	17.2264i	−0.329182	−	0.782210i
$486$	12.8650	−	8.59613i	0.583569	−	0.389928i
$487$	17.4854	+	26.1687i	0.792337	+	1.18582i	0.979094	+	0.203410i	$0.0652025\pi$
$487$	17.4854	+	26.1687i	0.792337	+	1.18582i	−0.186756	+	0.982406i	$0.559797\pi$
$488$	−1.20965	−	6.08130i	−0.0547581	−	0.275288i
$489$	−6.84128	−	6.84128i	−0.309373	−	0.309373i
$490$	2.38616	+	11.6523i	0.107796	+	0.526397i
$491$	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
$493$	−8.43022	−	24.6946i	−0.379678	−	1.11219i
$494$		−	12.5923i		−	0.566555i
$495$	−5.89665	−	14.0118i	−0.265035	−	0.629782i
$496$	−1.78765	+	0.355585i	−0.0802677	+	0.0159662i
$497$	−10.5085			−0.471369
$498$	2.66180	−	0.529466i	0.119278	−	0.0237259i
$499$	5.94832	−	29.9042i	0.266283	−	1.33870i	−0.583735	−	0.811944i	$-0.698409\pi$
$499$	5.94832	−	29.9042i	0.266283	−	1.33870i	0.850018	−	0.526753i	$-0.176591\pi$
$500$	11.0008	+	1.99538i	0.491972	+	0.0892361i
$501$	3.89237	+	9.39702i	0.173898	+	0.419828i
$502$	−0.389134	+	0.939451i	−0.0173679	+	0.0419298i
$503$	−23.0122	−	4.57741i	−1.02606	−	0.204096i	−0.346759	−	0.937954i	$-0.612718\pi$
$503$	−23.0122	−	4.57741i	−1.02606	−	0.204096i	−0.679303	+	0.733858i	$0.737718\pi$
$504$	−3.08822	−	0.614286i	−0.137560	−	0.0273625i
$505$	−18.8209	+	3.85417i	−0.837521	+	0.171508i
$506$	−14.9575	+	14.9575i	−0.664941	+	0.664941i
$507$	−2.42425	−	1.61984i	−0.107665	−	0.0719394i
$508$	7.02360	−	2.90927i	0.311622	−	0.129078i
$509$	−38.2452			−1.69519			−0.847594	−	0.530646i	$-0.821949\pi$
$509$	−38.2452			−1.69519			−0.847594	+	0.530646i	$0.821949\pi$
$510$	−5.55952	−	4.20129i	−0.246180	−	0.186036i
$511$	2.32053			0.102654
$512$	−0.923880	+	0.382683i	−0.0408301	+	0.0169124i
$513$	10.4635	+	6.99150i	0.461976	+	0.308682i
$514$	19.2964	−	19.2964i	0.851129	−	0.851129i
$515$	−10.1868	+	15.4333i	−0.448884	+	0.680072i
$516$	−5.89835	−	1.17325i	−0.259660	−	0.0516497i
$517$	−21.7148	−	4.31934i	−0.955015	−	0.189964i
$518$	0.169757	−	0.409830i	0.00745869	−	0.0180069i
$519$	1.02321	+	2.47024i	0.0449138	+	0.108432i
$520$	−9.01437	−	1.74029i	−0.395306	−	0.0763167i
$521$	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	$-0.148718\pi$
$522$	15.0753	−	2.99866i	0.659827	−	0.131248i
$523$	13.3104			0.582022			0.291011	−	0.956720i	$-0.406008\pi$
$523$	13.3104			0.582022			0.291011	+	0.956720i	$0.406008\pi$
$524$	−11.5921	+	2.30581i	−0.506402	+	0.100730i
$525$	4.54742	+	1.82380i	0.198466	+	0.0795971i
$526$			26.3486i			1.14885i
$527$	6.74577	+	3.31219i	0.293850	+	0.144281i
$528$	−1.49606	−	1.49606i	−0.0651076	−	0.0651076i
$529$	−13.0512	+	31.5084i	−0.567444	+	1.36993i
$530$	−13.8276	+	20.9493i	−0.600634	+	0.909979i
$531$	−17.5498	−	17.5498i	−0.761597	−	0.761597i
$532$	−0.775715	−	3.89978i	−0.0336315	−	0.169077i
$533$	−7.11292	−	10.6452i	−0.308095	−	0.461096i
$534$	−6.23459	+	4.16582i	−0.269797	+	0.180273i
$535$	−5.38372	+	2.26566i	−0.232759	+	0.0979530i
$536$	1.23408	−	0.511172i	0.0533040	−	0.0220792i
$537$	3.55644	−	17.8794i	0.153472	−	0.771555i
$538$	20.8823	−	13.9531i	0.900299	−	0.601561i
$539$	8.27225	−	12.3803i	0.356311	−	0.533257i
$540$	6.45104	−	6.52421i	0.277609	−	0.280757i
$541$	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	$0.914628\pi$
$542$	−4.84374	−	11.6938i	−0.208056	−	0.502292i
$543$	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
$547$	14.8539	−	22.2304i	0.635105	−	0.950502i	−0.364707	−	0.931122i	$-0.618831\pi$
$547$	14.8539	−	22.2304i	0.635105	−	0.950502i	0.999812	−	0.0193799i	$-0.00616920\pi$
$548$			17.4402i			0.745008i
$549$	−12.5212	−	8.36640i	−0.534392	−	0.357069i
$550$	−7.90658	−	11.5489i	−0.337138	−	0.492448i
$551$	10.7836	+	16.1387i	0.459395	+	0.687533i
$552$	−5.27686	−	2.18575i	−0.224598	−	0.0930316i
$553$	−19.8347	−	8.21581i	−0.843458	−	0.349372i
$554$	−3.93460	−	5.88855i	−0.167165	−	0.250180i
$555$	0.323983	+	0.479006i	0.0137523	+	0.0203327i
$556$	4.97673	+	3.32535i	0.211061	+	0.141026i
$557$			27.7342i			1.17513i	0.809175	+	0.587567i	$0.199914\pi$
$557$			27.7342i			1.17513i	−0.809175	+	0.587567i	$0.800086\pi$
$558$	−2.45937	+	3.68070i	−0.104113	+	0.155817i
$559$	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
$563$	6.29264	+	15.1918i	0.265203	+	0.640257i	0.999245	−	0.0388473i	$-0.0123686\pi$
$563$	6.29264	+	15.1918i	0.265203	+	0.640257i	−0.734042	+	0.679104i	$0.762369\pi$
$564$	−1.16628	−	5.86331i	−0.0491094	−	0.246890i
$565$	26.5451	+	26.2474i	1.11676	+	1.10424i
$566$	8.73558	−	13.0737i	0.367184	−	0.549529i
$567$	−4.51108	+	3.01421i	−0.189448	+	0.126585i
$568$	−1.58131	+	7.94978i	−0.0663502	+	0.333565i
$569$	36.3872	−	15.0721i	1.52543	−	0.631854i	0.546759	−	0.837290i	$-0.315861\pi$
$569$	36.3872	−	15.0721i	1.52543	−	0.631854i	0.978671	+	0.205436i	$0.0658612\pi$
$570$	4.80000	+	1.95659i	0.201050	+	0.0819525i
$571$	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	$0.303073\pi$
$572$	6.38519	+	9.55611i	0.266978	+	0.399561i
$573$	0.0605808	+	0.304560i	0.00253080	+	0.0127232i
$574$	−2.85861	−	2.85861i	−0.119316	−	0.119316i
$575$	−31.6508	−	20.6359i	−1.31993	−	0.860577i
$576$	−0.929430	+	2.24384i	−0.0387262	+	0.0934934i
$577$	−12.7320	−	12.7320i	−0.530038	−	0.530038i	0.390546	−	0.920584i	$-0.372286\pi$
$577$	−12.7320	−	12.7320i	−0.530038	−	0.530038i	−0.920584	+	0.390546i	$0.872286\pi$
$578$	−10.3954	−	13.4512i	−0.432392	−	0.559497i
$579$			3.12033i			0.129677i
$580$	13.0434	−	5.48914i	0.541600	−	0.227924i
$581$	−4.56571	+	0.908176i	−0.189418	+	0.0376775i
$582$	−6.31745			−0.261867
$583$	30.8194	−	6.13035i	1.27641	−	0.253893i
$584$	0.349193	−	1.75551i	0.0144497	−	0.0726436i
$585$	−18.4697	+	12.4922i	−0.763626	+	0.516491i
$586$	−6.39930	−	15.4493i	−0.264352	−	0.638203i
$587$	−4.74706	+	11.4604i	−0.195932	+	0.473022i	−0.991060	−	0.133420i	$-0.957404\pi$
$587$	−4.74706	+	11.4604i	−0.195932	+	0.473022i	0.795127	+	0.606443i	$0.207404\pi$
$588$	3.94317	+	0.784346i	0.162614	+	0.0323459i
$589$	−5.48265	−	1.09057i	−0.225909	−	0.0449360i
$590$	−19.0708	−	12.5877i	−0.785131	−	0.518228i
$591$	−8.93565	+	8.93565i	−0.367563	+	0.367563i
$592$	−0.284496	−	0.190094i	−0.0116927	−	0.00781283i
$593$	−8.88469	+	3.68016i	−0.364850	+	0.151126i	−0.557574	−	0.830127i	$-0.688268\pi$
$593$	−8.88469	+	3.68016i	−0.364850	+	0.151126i	0.192724	+	0.981253i	$0.438268\pi$
$594$	−11.4858			−0.471268
$595$	9.53607	+	7.20634i	0.390941	+	0.295431i
$596$	−2.14361			−0.0878058
$597$	7.69041	−	3.18547i	0.314748	−	0.130373i
$598$	25.7975	+	17.2374i	1.05494	+	0.704888i
$599$	−9.77177	+	9.77177i	−0.399264	+	0.399264i	−0.877973	−	0.478710i	$-0.841105\pi$
$599$	−9.77177	+	9.77177i	−0.399264	+	0.399264i	0.478710	+	0.877973i	$0.341105\pi$
$600$	2.06402	−	3.16574i	0.0842633	−	0.129241i
$601$	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	$0.519893\pi$
$602$	10.1173	+	2.01245i	0.412349	+	0.0820212i
$603$	1.24149	−	2.99722i	0.0505574	−	0.122056i
$604$	8.21780	+	19.8395i	0.334377	+	0.807258i
$605$	1.34124	−	6.94735i	0.0545290	−	0.282450i
$606$	−1.26689	+	6.36907i	−0.0514638	+	0.258726i
$607$	17.2948	−	3.44015i	0.701975	−	0.139632i	0.168817	−	0.985647i	$-0.446005\pi$
$607$	17.2948	−	3.44015i	0.701975	−	0.139632i	0.533158	+	0.846016i	$0.321005\pi$
$608$	−3.06697			−0.124382
$609$	6.08235	−	1.20986i	0.246469	−	0.0490258i
$610$	−12.8389	−	5.23344i	−0.519834	−	0.211896i
$611$			32.4743i			1.31377i
$612$	8.66360	−	5.02188i	0.350205	−	0.202998i
$613$	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
$615$	5.16300	−	1.05728i	0.208192	−	0.0426338i
$616$	2.56614	+	2.56614i	0.103393	+	0.103393i
$617$	0.500505	+	2.51621i	0.0201496	+	0.101299i	0.989551	−	0.144181i	$-0.0460546\pi$
$617$	0.500505	+	2.51621i	0.0201496	+	0.101299i	−0.969402	+	0.245479i	$0.921055\pi$
$618$	3.47269	+	5.19724i	0.139692	+	0.209064i
$619$	25.8916	−	17.3002i	1.04067	−	0.695354i	0.0870005	−	0.996208i	$-0.472272\pi$
$619$	25.8916	−	17.3002i	1.04067	−	0.695354i	0.953670	+	0.300854i	$0.0972718\pi$
$620$	−1.53841	+	3.77411i	−0.0617841	+	0.151572i
$621$	−28.6466	+	11.8658i	−1.14955	+	0.476159i
$622$	3.84888	−	19.3496i	0.154326	−	0.775849i
$623$	10.6940	−	7.14550i	0.428446	−	0.286278i
$624$	−1.72409	+	2.58029i	−0.0690190	+	0.103294i
$625$	17.2745	−	18.0719i	0.690980	−	0.722874i
$626$	−0.218603	−	1.09899i	−0.00873714	−	0.0439246i
$627$	−2.48320	−	5.99498i	−0.0991696	−	0.239417i
$628$	−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	$0.620634\pi$
$632$	−9.20009	+	13.7689i	−0.365960	+	0.547698i
$633$			5.69432i			0.226329i
$634$	14.3408	+	9.58222i	0.569546	+	0.380559i
$635$	3.22232	−	16.6910i	0.127874	−	0.662363i
$636$	4.71385	+	7.05478i	0.186916	+	0.279740i
$637$	−20.1771	−	8.35762i	−0.799445	−	0.331141i
$638$	−16.3670	−	6.77942i	−0.647974	−	0.268400i
$639$	10.9370	+	16.3683i	0.432660	+	0.647521i
$640$	−0.423862	+	2.19553i	−0.0167546	+	0.0867858i
$641$	−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	$0.778355\pi$
$642$			1.97438i			0.0779225i
$643$	−24.7591	+	37.0546i	−0.976403	+	1.46129i	−0.0913390	+	0.995820i	$0.529115\pi$
$643$	−24.7591	+	37.0546i	−0.976403	+	1.46129i	−0.885064	+	0.465470i	$0.845885\pi$
$644$	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	$0.0611200\pi$
$648$	1.60146	+	3.86627i	0.0629113	+	0.151881i
$649$	5.58065	+	28.0558i	0.219060	+	1.10129i
$650$	−14.3515	+	14.6789i	−0.562913	+	0.575755i
$651$	−0.992270	+	1.48504i	−0.0388901	+	0.0582032i
$652$	10.6432	−	7.11157i	0.416821	−	0.278511i
$653$	3.64030	−	18.3010i	0.142456	−	0.716175i	−0.841851	−	0.539710i	$-0.818534\pi$
$653$	3.64030	−	18.3010i	0.142456	−	0.716175i	0.984307	−	0.176465i	$-0.0564662\pi$
$654$	−0.536978	+	0.222424i	−0.0209975	+	0.00869745i
$655$	−9.97590	+	24.4734i	−0.389791	+	0.956253i
$656$	−2.59274	+	1.73241i	−0.101229	+	0.0676393i
$657$	−2.41516	−	3.61454i	−0.0942244	−	0.141017i
$658$	2.00049	+	10.0572i	0.0779873	+	0.392069i
$659$	13.9899	+	13.9899i	0.544968	+	0.544968i	0.924981	−	0.380013i	$-0.124081\pi$
$659$	13.9899	+	13.9899i	0.544968	+	0.544968i	−0.380013	+	0.924981i	$0.624081\pi$
$660$	−4.63477	+	0.949113i	−0.180408	+	0.0369442i
$661$	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
$663$	12.1090	−	4.13378i	0.470276	−	0.160543i
$664$			3.59068i			0.139345i
$665$	−8.23329	−	3.35607i	−0.319273	−	0.130143i
$666$	−0.815044	+	0.162122i	−0.0315823	+	0.00628211i
$667$	−47.8244			−1.85177
$668$	−13.1985	+	2.62534i	−0.510664	+	0.101577i
$669$	−1.87953	+	9.44901i	−0.0726666	+	0.365320i
$670$	0.566176	−	2.93269i	0.0218733	−	0.113300i
$671$	6.64203	+	16.0353i	0.256413	+	0.619035i
$672$	−0.374993	+	0.905313i	−0.0144657	+	0.0349232i
$673$	−34.9578	−	6.95354i	−1.34753	−	0.268039i	−0.531992	−	0.846750i	$-0.678556\pi$
$673$	−34.9578	−	6.95354i	−1.34753	−	0.268039i	−0.815533	+	0.578710i	$0.803556\pi$
$674$	18.5069	+	3.68126i	0.712860	+	0.141797i
$675$	−4.22914	−	20.0754i	−0.162780	−	0.772702i
$676$	2.72767	−	2.72767i	0.104910	−	0.104910i
$677$	−28.0307	−	18.7295i	−1.07731	−	0.719835i	−0.115431	−	0.993315i	$-0.536825\pi$
$677$	−28.0307	−	18.7295i	−1.07731	−	0.719835i	−0.961877	+	0.273481i	$0.911825\pi$
$678$	11.6579	−	4.82885i	0.447718	−	0.185451i
$679$	10.8361			0.415852
$680$	6.88667	−	6.12975i	0.264092	−	0.235065i
$681$	−4.94983			−0.189678
$682$	4.71369	−	1.95248i	0.180497	−	0.0747641i
$683$	−29.3386	−	19.6034i	−1.12261	−	0.750104i	−0.151434	−	0.988467i	$-0.548389\pi$
$683$	−29.3386	−	19.6034i	−1.12261	−	0.750104i	−0.971176	+	0.238363i	$0.923389\pi$
$684$	−5.26709	+	5.26709i	−0.201392	+	0.201392i
$685$	32.5468	+	21.4826i	1.24355	+	0.820809i
$686$	−15.6644	−	3.11585i	−0.598070	−	0.118964i
$687$	0.219864	+	0.0437336i	0.00838833	+	0.00166854i
$688$	3.04488	−	7.35100i	0.116085	−	0.280254i
$689$	−17.6379	−	42.5818i	−0.671952	−	1.62224i
$690$	−10.5790	+	7.15529i	−0.402737	+	0.272397i
$691$	−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	$0.0823160\pi$
$692$	−3.46954	+	0.690135i	−0.131892	+	0.0262350i
$693$	8.81400			0.334816
$694$	−6.55684	+	1.30424i	−0.248894	+	0.0495082i
$695$	12.3360	−	5.19144i	0.467933	−	0.196923i
$696$		−	4.78344i		−	0.181316i
$697$	12.8308	+	0.818747i	0.486002	+	0.0310122i
$698$	−16.2352	−	16.2352i	−0.614512	−	0.614512i
$699$	−6.90489	+	16.6699i	−0.261167	+	0.630513i
$700$	−3.54035	+	5.43009i	−0.133813	+	0.205238i
$701$	−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	$0.880850\pi$
$702$	3.28666	+	16.5232i	0.124047	+	0.623627i
$703$	−0.583013	−	0.872540i	−0.0219887	−	0.0329085i
$704$	2.32747	−	1.55517i	0.0877199	−	0.0586126i
$705$	−12.3787	−	5.04584i	−0.466209	−	0.190038i
$706$	11.1083	−	4.60119i	0.418065	−	0.173168i
$707$	2.17305	−	10.9247i	0.0817260	−	0.410865i
$708$	−6.42218	+	4.29116i	−0.241360	+	0.161272i
$709$	−18.2779	+	27.3548i	−0.686442	+	1.02733i	0.310605	+	0.950539i	$0.399468\pi$
$709$	−18.2779	+	27.3548i	−0.686442	+	1.02733i	−0.997047	+	0.0767938i	$0.975532\pi$
$710$	12.8880	+	12.7435i	0.483679	+	0.478255i
$711$	7.84632	+	39.4461i	0.294260	+	1.47934i
$712$	−3.79643	−	9.16539i	−0.142277	−	0.343488i
$713$	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
$717$	−11.8673	+	17.7607i	−0.443193	+	0.663285i
$718$			24.6343i			0.919345i
$719$	−28.5361	−	19.0672i	−1.06422	−	0.711088i	−0.105205	−	0.994451i	$-0.533550\pi$
$719$	−28.5361	−	19.0672i	−1.06422	−	0.711088i	−0.959013	+	0.283363i	$0.908550\pi$
$720$	3.04259	+	4.49844i	0.113391	+	0.167647i
$721$	−5.95659	−	8.91467i	−0.221835	−	0.332000i
$722$	8.86345	+	3.67136i	0.329863	+	0.136634i
$723$	−11.9751	−	4.96026i	−0.445360	−	0.184474i
$724$	11.9062	+	17.8188i	0.442489	+	0.662231i
$725$	5.82295	−	31.1031i	0.216259	−	1.15514i
$726$	−1.98862	−	1.32876i	−0.0738047	−	0.0493147i
$727$			44.2021i			1.63936i	0.572819	+	0.819682i	$0.305850\pi$
$727$			44.2021i			1.63936i	−0.572819	+	0.819682i	$0.694150\pi$
$728$	2.95729	−	4.42589i	0.109604	−	0.164034i
$729$	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
$733$	4.53464	+	10.9476i	0.167491	+	0.404359i	0.985231	−	0.171228i	$-0.0547736\pi$
$733$	4.53464	+	10.9476i	0.167491	+	0.404359i	−0.817741	+	0.575587i	$0.804774\pi$
$734$	2.52559	+	12.6970i	0.0932211	+	0.468654i
$735$	6.32091	−	6.39259i	0.233150	−	0.235794i
$736$	4.19830	−	6.28321i	0.154752	−	0.231602i
$737$	−3.10894	+	2.07732i	−0.114519	+	0.0765192i
$738$	−1.47749	+	7.42785i	−0.0543872	+	0.273423i
$739$	25.7178	−	10.6526i	0.946043	−	0.391864i	0.144301	−	0.989534i	$-0.453907\pi$
$739$	25.7178	−	10.6526i	0.946043	−	0.391864i	0.801742	+	0.597670i	$0.203907\pi$
$740$	−0.705193	+	0.296770i	−0.0259234	+	0.0109095i
$741$	−7.91366	+	5.28774i	−0.290716	+	0.194250i
$742$	−8.08553	−	12.1008i	−0.296829	−	0.444236i
$743$	4.50691	+	22.6578i	0.165342	+	0.831233i	0.971042	+	0.238908i	$0.0767896\pi$
$743$	4.50691	+	22.6578i	0.165342	+	0.831233i	−0.805700	+	0.592324i	$0.798210\pi$
$744$	0.974133	+	0.974133i	0.0357134	+	0.0357134i
$745$	−2.64048	+	4.00041i	−0.0967397	+	0.146564i
$746$	−3.42677	+	8.27294i	−0.125463	+	0.302894i
$747$	6.16650	+	6.16650i	0.225620	+	0.225620i
$748$	−11.5181	−	0.734980i	−0.421143	−	0.0268735i
$749$		−	3.38659i		−	0.123743i
$750$	−3.36545	−	7.75139i	−0.122889	−	0.283041i
$751$	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	$0.323441\pi$
$752$	7.90940			0.288426
$753$	0.753804	−	0.149941i	0.0274701	−	0.00546415i
$754$	−5.06929	+	25.4850i	−0.184612	+	0.928110i
$755$	47.1471	+	9.10207i	1.71586	+	0.331258i
$756$	2.03573	+	4.91469i	0.0740388	+	0.178745i
$757$	16.7602	−	40.4627i	0.609160	−	1.47064i	−0.254755	−	0.967006i	$-0.581995\pi$
$757$	16.7602	−	40.4627i	0.609160	−	1.47064i	0.863915	−	0.503637i	$-0.168005\pi$
$758$	4.95300	+	0.985213i	0.179901	+	0.0357846i
$759$	15.6810	+	3.11914i	0.569183	+	0.113218i
$760$	−3.77786	+	5.72356i	−0.137037	+	0.207615i
$761$	−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	$0.869588\pi$
$762$	−4.77767	−	3.19234i	−0.173077	−	0.115646i
$763$	0.921062	−	0.381516i	0.0333447	−	0.0138118i
$764$	−0.410841			−0.0148637
$765$	1.29991	−	22.3539i	0.0469983	−	0.808207i
$766$	−7.04171			−0.254427
$767$	38.7634	−	16.0563i	1.39967	−	0.579761i
$768$	0.628452	+	0.419918i	0.0226773	+	0.0151525i
$769$	16.2508	−	16.2508i	0.586018	−	0.586018i	−0.350532	−	0.936551i	$-0.613999\pi$
$769$	16.2508	−	16.2508i	0.586018	−	0.586018i	0.936551	+	0.350532i	$0.113999\pi$
$770$	7.94988	−	1.62798i	0.286494	−	0.0586685i
$771$	−20.2298	−	4.02396i	−0.728558	−	0.144919i
$772$	−4.04902	−	0.805399i	−0.145727	−	0.0289870i
$773$	−7.87291	+	19.0069i	−0.283169	+	0.683630i	−0.999906	−	0.0137132i	$-0.995635\pi$
$773$	−7.87291	+	19.0069i	−0.283169	+	0.683630i	0.716737	+	0.697344i	$0.245635\pi$
$774$	−7.39516	−	17.8535i	−0.265814	−	0.641731i
$775$	5.14823	+	7.51989i	0.184930	+	0.270122i
$776$	1.63062	−	8.19767i	0.0585357	−	0.294279i
$777$	−0.328842	+	0.0654108i	−0.0117971	+	0.00234660i
$778$	10.3885			0.372444
$779$	−9.37983	+	1.86576i	−0.336067	+	0.0668479i
$780$	2.69161	+	6.39588i	0.0963751	+	0.229009i
$781$		−	22.6892i		−	0.811884i
$782$	−29.4864	+	10.0661i	−1.05443	+	0.359962i
$783$	−18.3621	−	18.3621i	−0.656208	−	0.656208i
$784$	−2.03557	+	4.91430i	−0.0726989	+	0.175511i
$785$	2.79526	+	13.6500i	0.0997672	+	0.487190i
$786$	6.31681	+	6.31681i	0.225313	+	0.225313i
$787$	−3.01587	−	15.1618i	−0.107504	−	0.540459i	−0.996575	−	0.0826904i	$-0.973649\pi$
$787$	−3.01587	−	15.1618i	−0.107504	−	0.540459i	0.889071	−	0.457769i	$-0.151351\pi$
$788$	−9.28869	−	13.9015i	−0.330896	−	0.495221i
$789$	16.5588	−	11.0642i	0.589509	−	0.393897i
$790$	14.3629	+	34.1296i	0.511010	+	1.21428i
$791$	−19.9964	+	8.28279i	−0.710991	+	0.294502i
$792$	1.32633	−	6.66790i	0.0471290	−	0.236934i
$793$	21.1673	−	14.1435i	0.751673	−	0.502252i
$794$	−12.0178	+	17.9859i	−0.426496	+	0.638296i
$795$	18.9721	−	0.106979i	0.672871	−	0.00379416i
$796$	2.14854	+	10.8015i	0.0761531	+	0.382848i
$797$	−6.55161	−	15.8170i	−0.232070	−	0.560266i	0.764351	−	0.644801i	$-0.223060\pi$
$797$	−6.55161	−	15.8170i	−0.232070	−	0.560266i	−0.996421	+	0.0845345i	$0.973060\pi$
$798$	−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
$802$	22.1409	−	33.1362i	0.781822	−	1.17008i
$803$			5.01035i			0.176812i
$804$	−0.839458	−	0.560908i	−0.0296054	−	0.0197817i
$805$	18.1459	−	12.2732i	0.639558	−	0.432575i
$806$	−4.15760	−	6.22229i	−0.146445	−	0.219171i
$807$	−17.5377	−	7.26435i	−0.617356	−	0.255717i
$808$	−7.93765	−	3.28788i	−0.279246	−	0.115667i
$809$	2.28315	+	3.41698i	0.0802713	+	0.120134i	0.869433	−	0.494051i	$-0.164485\pi$
$809$	2.28315	+	3.41698i	0.0802713	+	0.120134i	−0.789161	+	0.614186i	$0.789485\pi$
$810$	9.18789	+	1.77379i	0.322829	+	0.0623245i
$811$	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	$0.599029\pi$
$812$			8.20488i			0.287935i
$813$	−5.31503	+	7.95450i	−0.186406	+	0.278976i
$814$	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
$818$	5.44859	+	13.1541i	0.190505	+	0.459921i
$819$	−2.52213	−	12.6796i	−0.0881303	−	0.443061i
$820$	0.0393165	+	6.97253i	0.00137299	+	0.243491i
$821$	−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	$0.311438\pi$
$822$	10.9603	−	7.32345i	0.382285	−	0.255435i
$823$	8.28765	−	41.6648i	0.288889	−	1.45234i	−0.514808	−	0.857305i	$-0.672137\pi$
$823$	8.28765	−	41.6648i	0.288889	−	1.45234i	0.803697	−	0.595038i	$-0.202863\pi$
$824$	−7.64040	+	3.16476i	−0.266166	+	0.110250i
$825$	−3.93783	+	9.81851i	−0.137098	+	0.341837i
$826$	11.0158	−	7.36050i	0.383287	−	0.256104i
$827$	9.83663	+	14.7216i	0.342053	+	0.511918i	0.962119	−	0.272632i	$-0.0878940\pi$
$827$	9.83663	+	14.7216i	0.342053	+	0.511918i	−0.620066	+	0.784550i	$0.712894\pi$
$828$	−3.58053	−	18.0006i	−0.124432	−	0.625563i
$829$	−15.2630	−	15.2630i	−0.530106	−	0.530106i	0.390498	−	0.920604i	$-0.372303\pi$
$829$	−15.2630	−	15.2630i	−0.530106	−	0.530106i	−0.920604	+	0.390498i	$0.872303\pi$
$830$	6.70092	+	4.42296i	0.232592	+	0.153523i
$831$	−2.04846	+	4.94541i	−0.0710602	+	0.171554i
$832$	−2.90323	−	2.90323i	−0.100651	−	0.100651i
$833$	18.9744	−	10.9986i	0.657424	−	0.381078i
$834$		−	4.52401i		−	0.156654i
$835$	−11.3583	+	27.8648i	−0.393071	+	0.964301i
$836$	8.42017	−	1.67488i	0.291218	−	0.0579268i
$837$	7.47877			0.258504
$838$	−27.6748	+	5.50486i	−0.956010	+	0.190162i
$839$	1.92009	−	9.65297i	0.0662890	−	0.333257i	−0.933383	−	0.358883i	$-0.883158\pi$
$839$	1.92009	−	9.65297i	0.0662890	−	0.333257i	0.999672	+	0.0256255i	$0.00815774\pi$
$840$	1.22758	+	1.81497i	0.0423556	+	0.0626223i
$841$	−4.22958	−	10.2111i	−0.145848	−	0.352107i
$842$	4.80990	−	11.6121i	0.165760	−	0.400180i
$843$	4.98673	+	0.991922i	0.171752	+	0.0341636i
$844$	−7.38908	−	1.46978i	−0.254343	−	0.0505919i
$845$	−1.73045	−	8.45028i	−0.0595295	−	0.290698i
$846$	13.5833	−	13.5833i	0.467004	−	0.467004i
$847$	3.41102	+	2.27917i	0.117204	+	0.0783133i
$848$	−10.3711	+	4.29587i	−0.356147	+	0.147521i
$849$	−11.8844			−0.407872
$850$	−2.95640	−	20.4024i	−0.101404	−	0.699798i
$851$	2.58562			0.0886340
$852$	5.66007	−	2.34448i	0.193911	−	0.0803205i
$853$	8.16772	+	5.45750i	0.279657	+	0.186861i	0.687486	−	0.726197i	$-0.258714\pi$
$853$	8.16772	+	5.45750i	0.279657	+	0.186861i	−0.407829	+	0.913058i	$0.633714\pi$
$854$	5.68415	−	5.68415i	0.194508	−	0.194508i
$855$	3.34149	+	16.3174i	0.114276	+	0.558043i
$856$	−2.56200	−	0.509613i	−0.0875672	−	0.0174182i
$857$	10.9183	+	2.17179i	0.372963	+	0.0741870i	0.378013	−	0.925800i	$-0.376607\pi$
$857$	10.9183	+	2.17179i	0.372963	+	0.0741870i	−0.00504986	+	0.999987i	$0.501607\pi$
$858$	3.32430	−	8.02557i	0.113490	−	0.273988i
$859$	−18.6818	−	45.1018i	−0.637414	−	1.53885i	−0.830113	−	0.557595i	$-0.811724\pi$
$859$	−18.6818	−	45.1018i	−0.637414	−	1.53885i	0.192700	−	0.981258i	$-0.438276\pi$
$860$	−9.96776	−	14.7372i	−0.339898	−	0.502536i
$861$	−0.596117	+	2.99688i	−0.0203156	+	0.102133i
$862$	0.0187197	−	0.00372358i	0.000637596	−	0.000126826i
$863$	2.59072			0.0881891			0.0440945	−	0.999027i	$-0.485960\pi$
$863$	2.59072			0.0881891			0.0440945	+	0.999027i	$0.485960\pi$
$864$	4.02436	−	0.800495i	0.136911	−	0.0272334i
$865$	−2.98582	+	7.32496i	−0.101521	+	0.249056i
$866$			11.1197i			0.377862i
$867$	−4.08822	+	12.1814i	−0.138843	+	0.413703i
$868$	−1.67090	−	1.67090i	−0.0567140	−	0.0567140i
$869$	17.7391	−	42.8259i	0.601757	−	1.45277i
$870$	−8.92684	−	5.89219i	−0.302648	−	0.199764i
$871$	3.87801	+	3.87801i	0.131401	+	0.131401i
$872$	−0.150021	−	0.754205i	−0.00508035	−	0.0255406i
$873$	−11.2780	−	16.8787i	−0.381703	−	0.571258i
$874$	19.2704	−	12.8761i	0.651830	−	0.435539i
$875$	5.77265	+	13.2957i	0.195151	+	0.449477i
$876$	−1.24989	+	0.517720i	−0.0422298	+	0.0174921i
$877$	0.225649	−	1.13442i	0.00761964	−	0.0383065i	−0.976788	−	0.214206i	$-0.931283\pi$
$877$	0.225649	−	1.13442i	0.00761964	−	0.0383065i	0.984408	+	0.175900i	$0.0562835\pi$
$878$	−25.3824	+	16.9600i	−0.856615	+	0.572372i
$879$	−7.02194	+	10.5091i	−0.236844	+	0.354462i
$880$	−0.0352940	−	6.25917i	−0.00118976	−	0.210996i
$881$	−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	$0.958268\pi$
$882$	4.94383	+	11.9354i	0.166467	+	0.401887i
$883$	−40.7312	+	40.7312i	−1.37071	+	1.37071i	−0.511327	+	0.859386i	$0.670846\pi$
$883$	−40.7312	+	40.7312i	−1.37071	+	1.37071i	−0.859386	+	0.511327i	$0.829154\pi$
$884$	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
$887$	17.3880	−	26.0230i	0.583832	−	0.873767i	−0.415526	−	0.909581i	$-0.636403\pi$
$887$	17.3880	−	26.0230i	0.583832	−	0.873767i	0.999358	+	0.0358145i	$0.0114026\pi$
$888$			0.258616i			0.00867859i
$889$	8.19499	+	5.47572i	0.274851	+	0.183650i
$890$	−21.7808	−	4.20494i	−0.730095	−	0.140950i
$891$	−6.50810	−	9.74006i	−0.218029	−	0.326304i
$892$	−11.7761	−	4.87783i	−0.394294	−	0.163322i
$893$	22.4113	+	9.28307i	0.749966	+	0.310646i
$894$	0.900141	+	1.34716i	0.0301052	+	0.0450557i
$895$	44.6724	−	30.2149i	1.49323	−	1.00997i
$896$	−1.07796	−	0.720272i	−0.0360122	−	0.0240626i
$897$		−	23.4508i		−	0.782998i
$898$	18.1273	−	27.1294i	0.604915	−	0.905319i
$899$	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
$903$	−2.98369	−	7.20327i	−0.0992910	−	0.239710i
$904$	3.25698	+	16.3739i	0.108325	+	0.544589i
$905$	47.9193	−	0.270206i	1.59289	−	0.00898194i
$906$	9.01738	−	13.4955i	0.299582	−	0.448357i
$907$	6.07195	−	4.05715i	0.201616	−	0.134715i	−0.450664	−	0.892694i	$-0.648813\pi$
$907$	6.07195	−	4.05715i	0.201616	−	0.134715i	0.652280	+	0.757978i	$0.273813\pi$
$908$	1.27762	−	6.42301i	0.0423992	−	0.213155i
$909$	−19.2783	+	7.98534i	−0.639421	+	0.264857i
$910$	−4.61684	−	10.9706i	−0.153047	−	0.363673i
$911$	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	$0.192960\pi$
$912$	1.28787	+	1.92744i	0.0426458	+	0.0638239i
$913$	−1.96088	−	9.85800i	−0.0648956	−	0.326252i
$914$	−0.0845788	−	0.0845788i	−0.00279762	−	0.00279762i
$915$	2.10234	+	10.2663i	0.0695011	+	0.339393i
$916$	−0.113500	+	0.274012i	−0.00375013	+	0.00905361i
$917$	−10.8350	−	10.8350i	−0.357804	−	0.357804i
$918$	−15.1861	−	7.45642i	−0.501217	−	0.246099i
$919$		−	20.2555i		−	0.668167i	−0.942543	−	0.334084i	$-0.891573\pi$
$919$		−	20.2555i		−	0.668167i	0.942543	−	0.334084i	$-0.108427\pi$
$920$	−6.55428	−	15.5745i	−0.216088	−	0.513475i
$921$	12.6094	−	2.50817i	0.415495	−	0.0826470i
$922$	26.9115			0.886282
$923$	−32.6401	+	6.49252i	−1.07436	+	0.213704i
$924$	0.535128	−	2.69027i	0.0176044	−	0.0885033i
$925$	−0.314818	+	1.68159i	−0.0103511	+	0.0552903i
$926$	9.51167	+	22.9632i	0.312573	+	0.754618i
$927$	−7.68630	+	18.5564i	−0.252451	+	0.609471i
$928$	6.20709	+	1.23467i	0.203758	+	0.0405300i
$929$	−39.8759	−	7.93180i	−1.30828	−	0.260234i	−0.508782	−	0.860896i	$-0.669904\pi$
$929$	−39.8759	−	7.93180i	−1.30828	−	0.260234i	−0.799503	+	0.600662i	$0.794904\pi$
$930$	3.01785	−	0.617998i	0.0989592	−	0.0202649i
$931$	−11.5356	+	11.5356i	−0.378064	+	0.378064i
$932$	−19.8490	−	13.2627i	−0.650175	−	0.434433i
$933$	−13.7765	+	5.70642i	−0.451023	+	0.186820i
$934$	27.6901			0.906047
$935$	−15.5595	+	20.5897i	−0.508849	+	0.673355i
$936$	−9.97180			−0.325939
$937$	−33.4871	+	13.8708i	−1.09398	+	0.453140i	−0.855392	−	0.517982i	$-0.826683\pi$
$937$	−33.4871	+	13.8708i	−1.09398	+	0.453140i	−0.238585	+	0.971122i	$0.576683\pi$
$938$	1.43990	+	0.962108i	0.0470143	+	0.0314139i
$939$	−0.598868	+	0.598868i	−0.0195433	+	0.0195433i
$940$	9.74271	−	14.7605i	0.317772	−	0.481434i
$941$	−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	$0.753081\pi$
$942$	4.61922	+	0.918819i	0.150502	+	0.0299367i
$943$	9.01751	−	21.7702i	0.293651	−	0.708935i
$944$	−3.91066	−	9.44117i	−0.127281	−	0.307284i
$945$	11.6794	+	2.25478i	0.379930	+	0.0733482i
$946$	−4.34515	+	21.8446i	−0.141273	+	0.710228i
$947$	−44.6011	+	8.87170i	−1.44934	+	0.288292i	−0.856132	−	0.516758i	$-0.827139\pi$
$947$	−44.6011	+	8.87170i	−1.44934	+	0.288292i	−0.593208	+	0.805049i	$0.702139\pi$
$948$	12.5164			0.406513
$949$	7.20776	−	1.43371i	0.233974	−	0.0465403i
$950$	6.02778	+	14.1005i	0.195567	+	0.457479i
$951$		−	13.0363i		−	0.422729i
$952$	1.72696	+	5.05877i	0.0559711	+	0.163956i
$953$	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
$955$	−0.506070	+	0.766711i	−0.0163760	+	0.0248102i
$956$	−19.9836	−	19.9836i	−0.646315	−	0.646315i
$957$	2.61225	+	13.1326i	0.0844419	+	0.424518i
$958$	18.8271	+	28.1768i	0.608277	+	0.910350i
$959$	−18.7999	+	12.5617i	−0.607080	+	0.405638i
$960$	1.55777	−	0.655565i	0.0502768	−	0.0211583i
$961$	25.5710	−	10.5919i	0.824872	−	0.341673i
$962$	0.274071	−	1.37785i	0.00883639	−	0.0444235i
$963$	−5.27507	+	3.52469i	−0.169987	+	0.113581i
$964$	9.52749	−	14.2589i	0.306860	−	0.459248i
$965$	−6.49057	+	6.56418i	−0.208939	+	0.211308i
$966$	−1.44462	−	7.26260i	−0.0464799	−	0.233670i
$967$	8.12253	+	19.6095i	0.261203	+	0.630600i	0.999013	−	0.0444081i	$-0.0141402\pi$
$967$	8.12253	+	19.6095i	0.261203	+	0.630600i	−0.737810	+	0.675008i	$0.764140\pi$
$968$	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	$0.428550\pi$
$972$	8.59613	−	12.8650i	0.275721	−	0.412646i
$973$			7.75990i			0.248771i
$974$	26.1687	+	17.4854i	0.838499	+	0.560267i
$975$	15.2515	+	2.85530i	0.488438	+	0.0914426i
$976$	−3.44478	−	5.15548i	−0.110265	−	0.165023i
$977$	11.1513	+	4.61901i	0.356761	+	0.147775i	0.553863	−	0.832608i	$-0.313153\pi$
$977$	11.1513	+	4.61901i	0.356761	+	0.147775i	−0.197102	+	0.980383i	$0.563153\pi$
$978$	−8.93856	−	3.70247i	−0.285824	−	0.118392i
$979$	15.4281	+	23.0898i	0.493085	+	0.737953i
$980$	6.66367	+	9.85216i	0.212863	+	0.314716i
$981$	−1.55288	−	1.03760i	−0.0495798	−	0.0331282i
$982$		−	15.9526i		−	0.509067i
$983$	3.78843	−	5.66979i	0.120832	−	0.180838i	−0.766122	−	0.642695i	$-0.777816\pi$
$983$	3.78843	−	5.66979i	0.120832	−	0.180838i	0.886955	+	0.461856i	$0.152816\pi$
$984$	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
$988$	−4.81887	−	11.6338i	−0.153309	−	0.370120i
$989$	11.7301	+	58.9712i	0.372995	+	1.87517i
$990$	−10.8099	−	10.6886i	−0.343560	−	0.339707i
$991$	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	$0.116653\pi$
$992$	−1.51549	+	1.01262i	−0.0481169	+	0.0321507i
$993$	−4.71467	+	23.7022i	−0.149615	+	0.752167i
$994$	−9.70854	+	4.02141i	−0.307936	+	0.127551i
$995$	22.8042	+	9.29552i	0.722942	+	0.294688i
$996$	2.25657	−	1.50779i	0.0715021	−	0.0477762i
$997$	13.3044	+	19.9115i	0.421355	+	0.630602i	0.980045	−	0.198774i	$-0.0636960\pi$
$997$	13.3044	+	19.9115i	0.421355	+	0.630602i	−0.558691	+	0.829376i	$0.688696\pi$
$998$	−5.94832	−	29.9042i	−0.188291	−	0.946602i
$999$	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.r.b.23.2	yes	40
5.2	odd	4		170.2.o.b.57.2	yes	40
5.3	odd	4		850.2.s.d.57.4		40
5.4	even	2		850.2.v.d.193.4		40
17.3	odd	16		170.2.o.b.3.2	✓	40
85.3	even	16		850.2.v.d.207.4		40
85.37	even	16	inner	170.2.r.b.37.2	yes	40
85.54	odd	16		850.2.s.d.343.4		40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
170.2.o.b.3.2	✓	40	17.3	odd	16
170.2.o.b.57.2	yes	40	5.2	odd	4
170.2.r.b.23.2	yes	40	1.1	even	1	trivial
170.2.r.b.37.2	yes	40	85.37	even	16	inner
850.2.s.d.57.4		40	5.3	odd	4
850.2.s.d.343.4		40	85.54	odd	16
850.2.v.d.193.4		40	5.4	even	2
850.2.v.d.207.4		40	85.3	even	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.r (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.923880 - 0.382683i) q^{2} +(-0.628452 - 0.419918i) q^{3} +(0.707107 - 0.707107i) q^{4} +(-0.448594 - 2.19061i) q^{5} +(-0.741309 - 0.147456i) q^{6} +(1.27154 + 0.252926i) q^{7} +(0.382683 - 0.923880i) q^{8} +(-0.929430 - 2.24384i) q^{9} +O(q^{10})\)	\(q+(0.923880 - 0.382683i) q^{2} +(-0.628452 - 0.419918i) q^{3} +(0.707107 - 0.707107i) q^{4} +(-0.448594 - 2.19061i) q^{5} +(-0.741309 - 0.147456i) q^{6} +(1.27154 + 0.252926i) q^{7} +(0.382683 - 0.923880i) q^{8} +(-0.929430 - 2.24384i) q^{9} +(-1.25276 - 1.85219i) q^{10} +(-0.546102 + 2.74544i) q^{11} +(-0.741309 + 0.147456i) q^{12} +4.10579 q^{13} +(1.27154 - 0.252926i) q^{14} +(-0.637956 + 1.56506i) q^{15} -1.00000i q^{16} +(-2.50434 + 3.27541i) q^{17} +(-1.71736 - 1.71736i) q^{18} +(1.17368 - 2.83351i) q^{19} +(-1.86620 - 1.23179i) q^{20} +(-0.692896 - 0.692896i) q^{21} +(0.546102 + 2.74544i) q^{22} +(4.19830 + 6.28321i) q^{23} +(-0.628452 + 0.419918i) q^{24} +(-4.59753 + 1.96539i) q^{25} +(3.79325 - 1.57122i) q^{26} +(-0.800495 + 4.02436i) q^{27} +(1.07796 - 0.720272i) q^{28} +(-3.51604 + 5.26212i) q^{29} +(0.00952989 + 1.69007i) q^{30} +(-0.355585 - 1.78765i) q^{31} +(-0.382683 - 0.923880i) 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} +(0.190094 - 0.284496i) q^{37} -3.06697i q^{38} +(-2.58029 - 1.72409i) q^{39} +(-2.19553 - 0.423862i) q^{40} +(-1.73241 - 2.59274i) q^{41} +(-0.905313 - 0.374993i) q^{42} +(7.35100 + 3.04488i) q^{43} +(1.55517 + 2.32747i) q^{44} +(-4.49844 + 3.04259i) q^{45} +(6.28321 + 4.19830i) q^{46} +7.90940i q^{47} +(-0.419918 + 0.628452i) 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} +(-4.29587 - 10.3711i) q^{53} +(0.800495 + 4.02436i) q^{54} +(6.25917 - 0.0352940i) q^{55} +(0.720272 - 1.07796i) q^{56} +(-1.92744 + 1.28787i) q^{57} +(-1.23467 + 6.20709i) q^{58} +(9.44117 - 3.91066i) q^{59} +(0.655565 + 1.55777i) q^{60} +(5.15548 - 3.44478i) q^{61} +(-1.01262 - 1.51549i) q^{62} +(-0.614286 - 3.08822i) q^{63} +(-0.707107 - 0.707107i) q^{64} +(-1.84183 - 8.99417i) q^{65} +(0.809661 - 1.95470i) q^{66} +(0.944522 + 0.944522i) q^{67} +(0.545225 + 4.08690i) q^{68} -5.71164i q^{69} +(-1.12447 - 2.67200i) q^{70} +(-7.94978 + 1.58131i) q^{71} -2.42872 q^{72} +(1.75551 - 0.349193i) q^{73} +(0.0667522 - 0.335586i) q^{74} +(3.71463 + 0.695432i) q^{75} +(-1.17368 - 2.83351i) q^{76} +(-1.38879 + 3.35283i) q^{77} +(-3.04366 - 0.605422i) q^{78} +(-16.2415 - 3.23064i) q^{79} +(-2.19061 + 0.448594i) q^{80} +(-2.95911 + 2.95911i) q^{81} +(-2.59274 - 1.73241i) q^{82} +(-3.31735 + 1.37409i) q^{83} -0.979904 q^{84} +(8.29856 + 4.01670i) q^{85} +7.95666 q^{86} +(4.41932 - 1.83054i) q^{87} +(2.32747 + 1.55517i) q^{88} +(7.01489 - 7.01489i) q^{89} +(-2.99167 + 4.53247i) q^{90} +(5.22070 + 1.03846i) q^{91} +(7.41155 + 1.47425i) q^{92} +(-0.527197 + 1.27277i) q^{93} +(3.02679 + 7.30733i) q^{94} +(-6.73361 - 1.29997i) q^{95} +(-0.147456 + 0.741309i) q^{96} +(8.19767 - 1.63062i) q^{97} -5.31920 q^{98} +(6.66790 - 1.32633i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q+O(q^{10}) \) 40 * q	\( 40 q - 16 q^{10} - 16 q^{18} + 8 q^{25} - 8 q^{26} + 24 q^{27} - 8 q^{28} + 8 q^{29} + 16 q^{30} - 16 q^{31} - 32 q^{33} + 8 q^{34} - 32 q^{35} - 32 q^{39} - 56 q^{41} - 24 q^{42} + 16 q^{43} + 16 q^{44} + 24 q^{45} + 16 q^{49} - 32 q^{51} - 16 q^{52} + 16 q^{53} - 24 q^{54} - 8 q^{55} - 8 q^{56} - 120 q^{57} + 16 q^{58} + 8 q^{60} + 24 q^{61} - 8 q^{62} - 24 q^{63} - 32 q^{65} + 16 q^{67} - 8 q^{70} + 24 q^{71} + 56 q^{72} + 88 q^{73} + 32 q^{74} + 8 q^{75} + 24 q^{77} + 32 q^{78} - 104 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} + 136 q^{85} + 96 q^{86} + 136 q^{87} - 16 q^{89} + 24 q^{90} + 48 q^{91} - 8 q^{92} - 8 q^{93} - 8 q^{94} - 136 q^{95} + 16 q^{97} + 72 q^{98} + 160 q^{99}+O(q^{100}) \) 40 * q - 16 * q^10 - 16 * q^18 + 8 * q^25 - 8 * q^26 + 24 * q^27 - 8 * q^28 + 8 * q^29 + 16 * q^30 - 16 * q^31 - 32 * q^33 + 8 * q^34 - 32 * q^35 - 32 * q^39 - 56 * q^41 - 24 * q^42 + 16 * q^43 + 16 * q^44 + 24 * q^45 + 16 * q^49 - 32 * q^51 - 16 * q^52 + 16 * q^53 - 24 * q^54 - 8 * q^55 - 8 * q^56 - 120 * q^57 + 16 * q^58 + 8 * q^60 + 24 * q^61 - 8 * q^62 - 24 * q^63 - 32 * q^65 + 16 * q^67 - 8 * q^70 + 24 * q^71 + 56 * q^72 + 88 * q^73 + 32 * q^74 + 8 * q^75 + 24 * q^77 + 32 * q^78 - 104 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 + 136 * q^85 + 96 * q^86 + 136 * q^87 - 16 * q^89 + 24 * q^90 + 48 * q^91 - 8 * q^92 - 8 * q^93 - 8 * q^94 - 136 * q^95 + 16 * q^97 + 72 * q^98 + 160 * q^99

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