LMFDB - Embedded newform 285.2.bf.c.224.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [285,2,Mod(14,285)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(285, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 9, 7]))

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

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

chi := DirichletCharacter("285.14");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 285 = 3 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	285.bf (of order $18$, degree $6$, 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:	$2.27573645761$
Analytic rank:	$0$
Dimension:	$192$
Relative dimension:	$32$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			224.8
Character	$\chi$	$=$	285.224
Dual form			285.2.bf.c.14.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.666271 + 1.83056i) q^{2} +(0.305063 + 1.70497i) q^{3} +(-1.37496 - 1.15373i) q^{4} +(1.45824 - 1.69515i) q^{5} +(-3.32432 - 0.577538i) q^{6} +(2.21228 + 1.27726i) q^{7} +(-0.346045 + 0.199789i) q^{8} +(-2.81387 + 1.04025i) q^{9} +O(q^{10})$	\(q+(-0.666271 + 1.83056i) q^{2} +(0.305063 + 1.70497i) q^{3} +(-1.37496 - 1.15373i) q^{4} +(1.45824 - 1.69515i) q^{5} +(-3.32432 - 0.577538i) q^{6} +(2.21228 + 1.27726i) q^{7} +(-0.346045 + 0.199789i) q^{8} +(-2.81387 + 1.04025i) q^{9} +(2.13149 + 3.79884i) q^{10} +(-3.03484 + 1.75217i) q^{11} +(1.54763 - 2.69623i) q^{12} +(-0.960888 + 5.44947i) q^{13} +(-3.81208 + 3.19872i) q^{14} +(3.33504 + 1.96914i) q^{15} +(-0.758523 - 4.30180i) q^{16} +(-2.68218 - 0.976232i) q^{17} +(-0.0294389 - 5.84406i) q^{18} +(3.78623 - 2.15974i) q^{19} +(-3.96077 + 0.648345i) q^{20} +(-1.50281 + 4.16152i) q^{21} +(-1.18543 - 6.72289i) q^{22} +(3.54832 + 2.97739i) q^{23} +(-0.446200 - 0.529049i) q^{24} +(-0.747055 - 4.94388i) q^{25} +(-9.33539 - 5.38979i) q^{26} +(-2.63200 - 4.48024i) q^{27} +(-1.56818 - 4.30855i) q^{28} +(7.23146 - 2.63203i) q^{29} +(-5.82668 + 4.79302i) q^{30} +(2.16423 + 1.24952i) q^{31} +(7.59309 + 1.33887i) q^{32} +(-3.91321 - 4.63980i) q^{33} +(3.57411 - 4.25946i) q^{34} +(5.39118 - 1.88759i) q^{35} +(5.06913 + 1.81615i) q^{36} +0.239636 q^{37} +(1.43088 + 8.36991i) q^{38} +(-9.58433 + 0.0241399i) q^{39} +(-0.165945 + 0.877938i) q^{40} +(0.799710 + 4.53538i) q^{41} +(-6.61665 - 5.52369i) q^{42} +(-3.61641 - 4.30987i) q^{43} +(6.19431 + 1.09222i) q^{44} +(-2.33994 + 6.28687i) q^{45} +(-7.81445 + 4.51167i) q^{46} +(8.67384 - 3.15702i) q^{47} +(7.10306 - 2.60558i) q^{48} +(-0.237216 - 0.410871i) q^{49} +(9.54782 + 1.92643i) q^{50} +(0.846219 - 4.87085i) q^{51} +(7.60839 - 6.38419i) q^{52} +(-7.42770 + 8.85198i) q^{53} +(9.95500 - 1.83300i) q^{54} +(-1.45535 + 7.69959i) q^{55} -1.02073 q^{56} +(4.83733 + 5.79657i) q^{57} +14.9913i q^{58} +(-5.57565 - 2.02937i) q^{59} +(-2.31369 - 6.55522i) q^{60} +(-0.468616 - 0.393216i) q^{61} +(-3.72929 + 3.12925i) q^{62} +(-7.55374 - 1.29273i) q^{63} +(-3.14177 + 5.44171i) q^{64} +(7.83644 + 9.57549i) q^{65} +(11.1007 - 4.07202i) q^{66} +(13.8914 - 5.05604i) q^{67} +(2.56158 + 4.43678i) q^{68} +(-3.99392 + 6.95808i) q^{69} +(-0.136643 + 11.1266i) q^{70} +(4.42101 - 3.70966i) q^{71} +(0.765896 - 0.922153i) q^{72} +(-0.742016 + 0.130837i) q^{73} +(-0.159663 + 0.438669i) q^{74} +(8.20128 - 2.78190i) q^{75} +(-7.69766 - 1.39873i) q^{76} -8.95188 q^{77} +(6.34157 - 17.5608i) q^{78} +(8.80326 - 1.55225i) q^{79} +(-8.39830 - 4.98726i) q^{80} +(6.83577 - 5.85425i) q^{81} +(-8.83513 - 1.55787i) q^{82} +(2.18423 - 3.78320i) q^{83} +(6.86757 - 3.98809i) q^{84} +(-5.56612 + 3.12310i) q^{85} +(10.2990 - 3.74853i) q^{86} +(6.69360 + 11.5265i) q^{87} +(0.700127 - 1.21266i) q^{88} +(0.995122 - 5.64362i) q^{89} +(-9.94948 - 8.47216i) q^{90} +(-9.08613 + 10.8284i) q^{91} +(-1.44369 - 8.18759i) q^{92} +(-1.47017 + 4.07114i) q^{93} +17.9815i q^{94} +(1.86017 - 9.56764i) q^{95} +(0.0336357 + 13.3545i) q^{96} +(-5.76513 - 2.09834i) q^{97} +(0.910176 - 0.160489i) q^{98} +(6.71697 - 8.08736i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 192 q - 12 q^{4} - 30 q^{6} - 12 q^{9}+O(q^{10}) $ 192 * q - 12 * q^4 - 30 * q^6 - 12 * q^9	$ 192 q - 12 q^{4} - 30 q^{6} - 12 q^{9} + 18 q^{10} + 15 q^{15} - 36 q^{16} - 48 q^{19} - 30 q^{21} - 156 q^{24} - 12 q^{25} - 24 q^{30} - 36 q^{31} + 24 q^{34} - 6 q^{36} - 6 q^{40} - 30 q^{45} + 36 q^{46} + 60 q^{49} + 24 q^{51} - 6 q^{54} - 90 q^{55} + 90 q^{60} + 12 q^{61} - 60 q^{64} + 108 q^{66} + 90 q^{69} - 18 q^{70} - 132 q^{76} - 120 q^{79} + 36 q^{81} + 198 q^{84} - 66 q^{85} - 114 q^{90} - 72 q^{91} + 144 q^{96} + 78 q^{99}+O(q^{100}) $ 192 * q - 12 * q^4 - 30 * q^6 - 12 * q^9 + 18 * q^10 + 15 * q^15 - 36 * q^16 - 48 * q^19 - 30 * q^21 - 156 * q^24 - 12 * q^25 - 24 * q^30 - 36 * q^31 + 24 * q^34 - 6 * q^36 - 6 * q^40 - 30 * q^45 + 36 * q^46 + 60 * q^49 + 24 * q^51 - 6 * q^54 - 90 * q^55 + 90 * q^60 + 12 * q^61 - 60 * q^64 + 108 * q^66 + 90 * q^69 - 18 * q^70 - 132 * q^76 - 120 * q^79 + 36 * q^81 + 198 * q^84 - 66 * q^85 - 114 * q^90 - 72 * q^91 + 144 * q^96 + 78 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/285\mathbb{Z}\right)^\times$.

$n$	$172$	$191$	$211$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{11}{18}\right)$

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 $

$2$	−0.666271	+	1.83056i	−0.471125	+	1.29440i	0.445724	+	0.895170i	$0.352946\pi$
$2$	−0.666271	+	1.83056i	−0.471125	+	1.29440i	−0.916849	+	0.399234i	$0.869276\pi$
$3$	0.305063	+	1.70497i	0.176128	+	0.984367i
$3$	0.305063	+	1.70497i	0.176128	+	0.984367i
$4$	−1.37496	−	1.15373i	−0.687480	−	0.576864i
$5$	1.45824	−	1.69515i	0.652146	−	0.758093i
$5$	1.45824	−	1.69515i	0.652146	−	0.758093i
$6$	−3.32432	−	0.577538i	−1.35715	−	0.235779i
$7$	2.21228	+	1.27726i	0.836163	+	0.482759i	0.855958	−	0.517045i	$-0.172968\pi$
$7$	2.21228	+	1.27726i	0.836163	+	0.482759i	−0.0197954	+	0.999804i	$0.506301\pi$
$8$	−0.346045	+	0.199789i	−0.122345	+	0.0706361i
$9$	−2.81387	+	1.04025i	−0.937958	+	0.346749i
$10$	2.13149	+	3.79884i	0.674037	+	1.20130i
$11$	−3.03484	+	1.75217i	−0.915039	+	0.528298i	−0.882049	−	0.471158i	$-0.843836\pi$
$11$	−3.03484	+	1.75217i	−0.915039	+	0.528298i	−0.0329900	+	0.999456i	$0.510503\pi$
$12$	1.54763	−	2.69623i	0.446762	−	0.778335i
$13$	−0.960888	+	5.44947i	−0.266502	+	1.51141i	0.498220	+	0.867050i	$0.333987\pi$
$13$	−0.960888	+	5.44947i	−0.266502	+	1.51141i	−0.764723	+	0.644359i	$0.777124\pi$
$14$	−3.81208	+	3.19872i	−1.01882	+	0.854893i
$15$	3.33504	+	1.96914i	0.861103	+	0.508430i
$16$	−0.758523	−	4.30180i	−0.189631	−	1.07545i
$17$	−2.68218	−	0.976232i	−0.650523	−	0.236771i	−0.00438372	−	0.999990i	$-0.501395\pi$
$17$	−2.68218	−	0.976232i	−0.650523	−	0.236771i	−0.646140	+	0.763219i	$0.723618\pi$
$18$	−0.0294389	−	5.84406i	−0.00693882	−	1.37746i
$19$	3.78623	−	2.15974i	0.868621	−	0.495478i
$19$	3.78623	−	2.15974i	0.868621	−	0.495478i
$20$	−3.96077	+	0.648345i	−0.885654	+	0.144974i
$21$	−1.50281	+	4.16152i	−0.327940	+	0.908118i
$22$	−1.18543	−	6.72289i	−0.252734	−	1.43332i
$23$	3.54832	+	2.97739i	0.739875	+	0.620829i	0.932804	−	0.360384i	$-0.117354\pi$
$23$	3.54832	+	2.97739i	0.739875	+	0.620829i	−0.192929	+	0.981213i	$0.561799\pi$
$24$	−0.446200	−	0.529049i	−0.0910802	−	0.107992i
$25$	−0.747055	−	4.94388i	−0.149411	−	0.988775i
$26$	−9.33539	−	5.38979i	−1.83082	−	1.05702i
$27$	−2.63200	−	4.48024i	−0.506529	−	0.862223i
$28$	−1.56818	−	4.30855i	−0.296359	−	0.814239i
$29$	7.23146	−	2.63203i	1.34285	−	0.488757i	0.432139	−	0.901807i	$-0.357759\pi$
$29$	7.23146	−	2.63203i	1.34285	−	0.488757i	0.910708	+	0.413050i	$0.135537\pi$
$30$	−5.82668	+	4.79302i	−1.06380	+	0.875082i
$31$	2.16423	+	1.24952i	0.388708	+	0.224421i	0.681600	−	0.731725i	$-0.261284\pi$
$31$	2.16423	+	1.24952i	0.388708	+	0.224421i	−0.292892	+	0.956145i	$0.594618\pi$
$32$	7.59309	+	1.33887i	1.34228	+	0.236680i
$33$	−3.91321	−	4.63980i	−0.681203	−	0.807686i
$34$	3.57411	−	4.25946i	0.612955	−	0.730492i
$35$	5.39118	−	1.88759i	0.911276	−	0.319060i
$36$	5.06913	+	1.81615i	0.844855	+	0.302691i
$37$	0.239636			0.0393959			0.0196980	−	0.999806i	$-0.493730\pi$
$37$	0.239636			0.0393959			0.0196980	+	0.999806i	$0.493730\pi$
$38$	1.43088	+	8.36991i	0.232120	+	1.35778i
$39$	−9.58433	+	0.0241399i	−1.53472	+	0.00386548i
$40$	−0.165945	+	0.877938i	−0.0262382	+	0.138814i
$41$	0.799710	+	4.53538i	0.124894	+	0.708308i	0.981371	+	0.192123i	$0.0615371\pi$
$41$	0.799710	+	4.53538i	0.124894	+	0.708308i	−0.856477	+	0.516185i	$0.827352\pi$
$42$	−6.61665	−	5.52369i	−1.02097	−	0.852324i
$43$	−3.61641	−	4.30987i	−0.551497	−	0.657248i	0.416227	−	0.909261i	$-0.363352\pi$
$43$	−3.61641	−	4.30987i	−0.551497	−	0.657248i	−0.967724	+	0.252012i	$0.918908\pi$
$44$	6.19431	+	1.09222i	0.933827	+	0.164659i
$45$	−2.33994	+	6.28687i	−0.348817	+	0.937191i
$46$	−7.81445	+	4.51167i	−1.15218	+	0.665210i
$47$	8.67384	−	3.15702i	1.26521	−	0.460499i	0.379696	−	0.925111i	$-0.376029\pi$
$47$	8.67384	−	3.15702i	1.26521	−	0.460499i	0.885514	+	0.464613i	$0.153807\pi$
$48$	7.10306	−	2.60558i	1.02524	−	0.376083i
$49$	−0.237216	−	0.410871i	−0.0338881	−	0.0586958i
$50$	9.54782	+	1.92643i	1.35027	+	0.272438i
$51$	0.846219	−	4.87085i	0.118494	−	0.682056i
$52$	7.60839	−	6.38419i	1.05509	−	0.885328i
$53$	−7.42770	+	8.85198i	−1.02027	+	1.21591i	−0.0440756	+	0.999028i	$0.514034\pi$
$53$	−7.42770	+	8.85198i	−1.02027	+	1.21591i	−0.976197	+	0.216885i	$0.930410\pi$
$54$	9.95500	−	1.83300i	1.35470	−	0.249439i
$55$	−1.45535	+	7.69959i	−0.196240	+	1.03821i
$56$	−1.02073			−0.136401
$57$	4.83733	+	5.79657i	0.640720	+	0.767774i
$58$			14.9913i			1.96845i
$59$	−5.57565	−	2.02937i	−0.725888	−	0.264202i	−0.0474647	−	0.998873i	$-0.515114\pi$
$59$	−5.57565	−	2.02937i	−0.725888	−	0.264202i	−0.678423	+	0.734671i	$0.737336\pi$
$60$	−2.31369	−	6.55522i	−0.298696	−	0.846275i
$61$	−0.468616	−	0.393216i	−0.0600001	−	0.0503461i	0.612294	−	0.790630i	$-0.290247\pi$
$61$	−0.468616	−	0.393216i	−0.0600001	−	0.0503461i	−0.672295	+	0.740284i	$0.734691\pi$
$62$	−3.72929	+	3.12925i	−0.473621	+	0.397415i
$63$	−7.55374	−	1.29273i	−0.951682	−	0.162868i
$64$	−3.14177	+	5.44171i	−0.392722	+	0.680214i
$65$	7.83644	+	9.57549i	0.971991	+	1.18769i
$66$	11.1007	−	4.07202i	1.36640	−	0.501232i
$67$	13.8914	−	5.05604i	1.69710	−	0.617694i	0.701610	−	0.712561i	$-0.252465\pi$
$67$	13.8914	−	5.05604i	1.69710	−	0.617694i	0.995490	+	0.0948670i	$0.0302426\pi$
$68$	2.56158	+	4.43678i	0.310637	+	0.538039i
$69$	−3.99392	+	6.95808i	−0.480811	+	0.837654i
$70$	−0.136643	+	11.1266i	−0.0163319	+	1.32988i
$71$	4.42101	−	3.70966i	0.524677	−	0.440256i	−0.341582	−	0.939852i	$-0.610963\pi$
$71$	4.42101	−	3.70966i	0.524677	−	0.440256i	0.866259	+	0.499596i	$0.166518\pi$
$72$	0.765896	−	0.922153i	0.0902617	−	0.108677i
$73$	−0.742016	+	0.130837i	−0.0868464	+	0.0153134i	−0.216903	−	0.976193i	$-0.569595\pi$
$73$	−0.742016	+	0.130837i	−0.0868464	+	0.0153134i	0.130056	+	0.991507i	$0.458484\pi$
$74$	−0.159663	+	0.438669i	−0.0185604	+	0.0509943i
$75$	8.20128	−	2.78190i	0.947002	−	0.321226i
$76$	−7.69766	−	1.39873i	−0.882983	−	0.160445i
$77$	−8.95188			−1.02016
$78$	6.34157	−	17.5608i	0.718041	−	1.98837i
$79$	8.80326	−	1.55225i	0.990445	−	0.174642i	0.345127	−	0.938556i	$-0.387836\pi$
$79$	8.80326	−	1.55225i	0.990445	−	0.174642i	0.645318	+	0.763914i	$0.276725\pi$
$80$	−8.39830	−	4.98726i	−0.938958	−	0.557592i
$81$	6.83577	−	5.85425i	0.759530	−	0.650473i
$82$	−8.83513	−	1.55787i	−0.975677	−	0.172038i
$83$	2.18423	−	3.78320i	0.239751	−	0.415260i	−0.720892	−	0.693047i	$-0.756268\pi$
$83$	2.18423	−	3.78320i	0.239751	−	0.415260i	0.960643	+	0.277787i	$0.0896010\pi$
$84$	6.86757	−	3.98809i	0.749313	−	0.435136i
$85$	−5.56612	+	3.12310i	−0.603731	+	0.338748i
$86$	10.2990	−	3.74853i	1.11057	−	0.404214i
$87$	6.69360	+	11.5265i	0.717629	+	1.23577i
$88$	0.700127	−	1.21266i	0.0746338	−	0.129269i
$89$	0.995122	−	5.64362i	0.105483	−	0.598222i	−0.885544	−	0.464556i	$-0.846214\pi$
$89$	0.995122	−	5.64362i	0.105483	−	0.598222i	0.991026	−	0.133666i	$-0.0426750\pi$
$90$	−9.94948	−	8.47216i	−1.04877	−	0.893044i
$91$	−9.08613	+	10.8284i	−0.952486	+	1.13513i
$92$	−1.44369	−	8.18759i	−0.150515	−	0.853615i
$93$	−1.47017	+	4.07114i	−0.152450	+	0.422158i
$94$			17.9815i			1.85465i
$95$	1.86017	−	9.56764i	0.190849	−	0.981619i
$96$	0.0336357	+	13.3545i	0.00343293	+	1.36298i
$97$	−5.76513	−	2.09834i	−0.585360	−	0.213054i	0.0323273	−	0.999477i	$-0.489708\pi$
$97$	−5.76513	−	2.09834i	−0.585360	−	0.213054i	−0.617687	+	0.786424i	$0.711930\pi$
$98$	0.910176	−	0.160489i	0.0919417	−	0.0162118i
$99$	6.71697	−	8.08736i	0.675081	−	0.812810i
$100$	−4.67672	+	7.65953i	−0.467672	+	0.765953i
$101$	10.6949	+	1.88581i	1.06419	+	0.187645i	0.678213	−	0.734865i	$-0.262755\pi$
$101$	10.6949	+	1.88581i	1.06419	+	0.187645i	0.385973	+	0.922510i	$0.373866\pi$
$102$	8.35260	+	4.79437i	0.827031	+	0.474713i
$103$	−5.30526	−	9.18898i	−0.522743	−	0.905417i	−0.999650	−	0.0264635i	$-0.991575\pi$
$103$	−5.30526	−	9.18898i	−0.522743	−	0.905417i	0.476907	−	0.878954i	$-0.341758\pi$
$104$	−0.756233	−	2.07773i	−0.0741547	−	0.203738i
$105$	4.86293	+	8.61600i	0.474574	+	0.840835i
$106$	−11.2553	−	19.4947i	−1.09321	−	1.89349i
$107$	−2.23274	−	1.28907i	−0.215847	−	0.124620i	0.388179	−	0.921584i	$-0.373104\pi$
$107$	−2.23274	−	1.28907i	−0.215847	−	0.124620i	−0.604026	+	0.796965i	$0.706438\pi$
$108$	−1.55008	+	9.19677i	−0.149157	+	0.884960i
$109$	7.67596	+	9.14785i	0.735224	+	0.876205i	0.996015	−	0.0891899i	$-0.0284278\pi$
$109$	7.67596	+	9.14785i	0.735224	+	0.876205i	−0.260791	+	0.965395i	$0.583983\pi$
$110$	−13.1249	−	7.79413i	−1.25141	−	0.743141i
$111$	0.0731041	+	0.408573i	0.00693873	+	0.0387801i
$112$	3.81645	−	10.4856i	0.360621	−	0.990797i
$113$			7.58351i			0.713396i	0.934220	+	0.356698i	$0.116098\pi$
$113$			7.58351i			0.713396i	−0.934220	+	0.356698i	$0.883902\pi$
$114$	−13.8340	+	4.99296i	−1.29567	+	0.467634i
$115$	10.2214	−	1.67316i	0.953153	−	0.156023i
$116$	−12.9796	−	4.72419i	−1.20513	−	0.438630i
$117$	−2.96498	−	16.3337i	−0.274112	−	1.51005i
$118$	7.42979	−	8.85448i	0.683967	−	0.815121i
$119$	−4.68682	−	5.58553i	−0.429640	−	0.512025i
$120$	−1.54748	−	0.0151062i	−0.141265	−	0.00137900i
$121$	0.640173	−	1.10881i	0.0581975	−	0.100801i
$122$	1.03203	−	0.595844i	0.0934358	−	0.0539452i
$123$	−7.48875	+	2.74706i	−0.675237	+	0.247694i
$124$	−1.53413	−	4.21498i	−0.137769	−	0.378516i
$125$	−9.46999	−	5.94300i	−0.847022	−	0.531558i
$126$	7.39926	−	12.9663i	0.659178	−	1.15513i
$127$	−1.97638	+	11.2086i	−0.175376	+	0.994604i	0.762334	+	0.647184i	$0.224053\pi$
$127$	−1.97638	+	11.2086i	−0.175376	+	0.994604i	−0.937710	+	0.347420i	$0.887058\pi$
$128$	2.04394	+	2.43588i	0.180661	+	0.215303i
$129$	6.24498	−	7.48066i	0.549840	−	0.658635i
$130$	−22.7497	+	7.96524i	−1.99529	+	0.698598i
$131$	−3.18662	+	8.75518i	−0.278417	+	0.764943i	0.719126	+	0.694880i	$0.244542\pi$
$131$	−3.18662	+	8.75518i	−0.278417	+	0.764943i	−0.997543	+	0.0700635i	$0.977680\pi$
$132$	0.0274394	+	10.8943i	0.00238829	+	0.948230i
$133$	11.1347	+	0.0580604i	0.965504	+	0.00503448i
$134$			28.7977i			2.48774i
$135$	−11.4328	−	2.07164i	−0.983976	−	0.178299i
$136$	1.12319	−	0.198049i	0.0963130	−	0.0169826i
$137$	2.70393	+	2.26886i	0.231012	+	0.193842i	0.750945	−	0.660365i	$-0.229598\pi$
$137$	2.70393	+	2.26886i	0.231012	+	0.193842i	−0.519933	+	0.854207i	$0.674043\pi$
$138$	−10.0762	−	11.9471i	−0.857742	−	1.01700i
$139$	−0.971566	+	5.51002i	−0.0824071	+	0.467354i	0.915479	+	0.402366i	$0.131812\pi$
$139$	−0.971566	+	5.51002i	−0.0824071	+	0.467354i	−0.997886	+	0.0649881i	$0.979299\pi$
$140$	−9.59042	−	3.62461i	−0.810539	−	0.306335i
$141$	8.02870	+	13.8256i	0.676139	+	1.16432i
$142$	3.84519	+	10.5646i	0.322681	+	0.886560i
$143$	−6.63223	−	18.2219i	−0.554615	−	1.52379i
$144$	6.60933	+	11.3157i	0.550777	+	0.942972i
$145$	6.08353	−	16.0965i	0.505210	−	1.33674i
$146$	0.254877	−	1.44548i	0.0210938	−	0.119629i
$147$	0.628158	−	0.529789i	0.0518096	−	0.0436963i
$148$	−0.329490	−	0.276475i	−0.0270839	−	0.0227261i
$149$	−15.5890	+	2.74876i	−1.27710	+	0.225187i	−0.770748	−	0.637140i	$-0.780117\pi$
$149$	−15.5890	+	2.74876i	−1.27710	+	0.225187i	−0.506351	+	0.862327i	$0.669006\pi$
$150$	−0.371825	+	16.8665i	−0.0303594	+	1.37714i
$151$		−	13.7934i		−	1.12249i	−0.827649	−	0.561247i	$-0.810322\pi$
$151$		−	13.7934i		−	1.12249i	0.827649	−	0.561247i	$-0.189678\pi$
$152$	−0.878713	+	1.50381i	−0.0712730	+	0.121975i
$153$	8.56283	−	0.0431344i	0.692264	−	0.00348721i
$154$	5.96438	−	16.3870i	0.480623	−	1.32050i
$155$	5.27410	−	1.84659i	0.423626	−	0.148322i
$156$	13.2059	+	11.0245i	1.05732	+	0.882668i
$157$	−14.9055	−	17.7637i	−1.18959	−	1.41770i	−0.885238	−	0.465138i	$-0.846005\pi$
$157$	−14.9055	−	17.7637i	−1.18959	−	1.41770i	−0.304351	−	0.952560i	$-0.598440\pi$
$158$	−3.02386	+	17.1492i	−0.240565	+	1.36431i
$159$	−17.3583	−	9.96362i	−1.37660	−	0.790167i
$160$	13.3421	−	10.9190i	1.05479	−	0.863224i
$161$	4.04696	+	11.1189i	0.318945	+	0.876295i
$162$	6.16211	+	16.4138i	0.484141	+	1.28959i
$163$	−16.3742	+	9.45365i	−1.28253	+	0.740467i	−0.977310	−	0.211816i	$-0.932062\pi$
$163$	−16.3742	+	9.45365i	−1.28253	+	0.740467i	−0.305217	+	0.952283i	$0.598729\pi$
$164$	4.13303	−	7.15862i	0.322735	−	0.558994i
$165$	−13.5716	−	0.132483i	−1.05655	−	0.0103138i
$166$	5.47010	+	6.51902i	0.424562	+	0.505974i
$167$	−3.47132	+	4.13696i	−0.268619	+	0.320128i	−0.883445	−	0.468535i	$-0.844782\pi$
$167$	−3.47132	+	4.13696i	−0.268619	+	0.320128i	0.614826	+	0.788663i	$0.289226\pi$
$168$	−0.311386	−	1.74032i	−0.0240240	−	0.134268i
$169$	−16.5574	−	6.02639i	−1.27364	−	0.463568i
$170$	−2.00849	−	12.2700i	−0.154044	−	0.941064i
$171$	−8.40731	+	10.0158i	−0.642923	+	0.765931i
$172$			10.0982i			0.769984i
$173$	2.21695	−	6.09102i	0.168552	−	0.463091i	−0.826443	−	0.563020i	$-0.809639\pi$
$173$	2.21695	−	6.09102i	0.168552	−	0.463091i	0.994995	+	0.0999288i	$0.0318615\pi$
$174$	−25.5598	+	4.57328i	−1.93768	+	0.346700i
$175$	4.66192	−	11.8914i	0.352408	−	0.898906i
$176$	9.83946	+	11.7262i	0.741678	+	0.883897i
$177$	1.75910	−	10.1254i	0.132222	−	0.761074i
$178$	9.66799	+	5.58181i	0.724646	+	0.418375i
$179$	−8.21229	−	14.2241i	−0.613815	−	1.06316i	−0.990591	−	0.136855i	$-0.956301\pi$
$179$	−8.21229	−	14.2241i	−0.613815	−	1.06316i	0.376776	−	0.926304i	$-0.377033\pi$
$180$	10.4707	−	5.94454i	0.780437	−	0.443080i
$181$	1.53135	+	4.20734i	0.113824	+	0.312729i	0.983504	−	0.180887i	$-0.0578969\pi$
$181$	1.53135	+	4.20734i	0.113824	+	0.312729i	−0.869680	+	0.493617i	$0.835675\pi$
$182$	−13.7683	−	23.8474i	−1.02058	−	1.76769i
$183$	0.527465	−	0.918934i	0.0389913	−	0.0679295i
$184$	−1.82273	−	0.321396i	−0.134373	−	0.0236936i
$185$	0.349448	−	0.406219i	0.0256919	−	0.0298658i
$186$	−6.47296	−	5.40373i	−0.474620	−	0.396221i
$187$	9.85050	−	1.73691i	0.720340	−	0.127015i
$188$	−15.5685	−	5.66648i	−1.13545	−	0.413270i
$189$	−0.100295	−	13.2733i	−0.00729542	−	0.965490i
$190$	16.2748	+	9.77980i	1.18070	+	0.709501i
$191$		−	7.41775i		−	0.536730i	−0.963317	−	0.268365i	$-0.913517\pi$
$191$		−	7.41775i		−	0.536730i	0.963317	−	0.268365i	$-0.0864832\pi$
$192$	−10.2364	−	3.69658i	−0.738749	−	0.266778i
$193$	1.58987	+	9.01658i	0.114441	+	0.649028i	0.987025	+	0.160564i	$0.0513313\pi$
$193$	1.58987	+	9.01658i	0.114441	+	0.649028i	−0.872584	+	0.488463i	$0.837558\pi$
$194$	7.68228	−	9.15538i	0.551555	−	0.657318i
$195$	−13.9354	+	16.2821i	−0.997932	+	1.16598i
$196$	−0.147870	+	0.838614i	−0.0105622	+	0.0599010i
$197$	0.705446	−	1.22187i	0.0502609	−	0.0870545i	−0.839800	−	0.542895i	$-0.817328\pi$
$197$	0.705446	−	1.22187i	0.0502609	−	0.0870545i	0.890061	+	0.455841i	$0.150661\pi$
$198$	10.3291	+	17.6842i	0.734058	+	1.25676i
$199$	−1.48146	+	0.539206i	−0.105018	+	0.0382233i	−0.393995	−	0.919113i	$-0.628907\pi$
$199$	−1.48146	+	0.539206i	−0.105018	+	0.0382233i	0.288977	+	0.957336i	$0.406685\pi$
$200$	1.24625	+	1.56155i	0.0881229	+	0.110418i
$201$	12.8582	+	22.1420i	0.906945	+	1.56178i
$202$	−10.5778	+	18.3213i	−0.744253	+	1.28908i
$203$	19.3598	+	3.41365i	1.35879	+	0.239591i
$204$	−6.78316	+	5.72092i	−0.474916	+	0.400545i
$205$	8.85431	+	5.25806i	0.618412	+	0.367239i
$206$	20.3558	−	3.58927i	1.41825	−	0.250076i
$207$	−13.0817	−	4.68687i	−0.909244	−	0.325760i
$208$	24.1714			1.67598
$209$	−7.70639	+	13.1886i	−0.533062	+	0.912272i
$210$	−19.0122	+	3.16132i	−1.31196	+	0.218152i
$211$	2.24144	−	6.15831i	0.154307	−	0.423956i	−0.838318	−	0.545182i	$-0.816461\pi$
$211$	2.24144	−	6.15831i	0.154307	−	0.423956i	0.992625	+	0.121226i	$0.0386827\pi$
$212$	20.4256	−	3.60158i	1.40283	−	0.247357i
$213$	7.67357	+	6.40602i	0.525784	+	0.438933i
$214$	3.84734	−	3.22831i	0.262999	−	0.220682i
$215$	−12.5795	−	0.154486i	−0.857912	−	0.0105358i
$216$	1.80589	+	1.02452i	0.122875	+	0.0697096i
$217$	3.19192	+	5.52857i	0.216682	+	0.375304i
$218$	−21.8600	+	7.95639i	−1.48055	+	0.538875i
$219$	−0.449436	−	1.22520i	−0.0303701	−	0.0827917i
$220$	10.8843	−	8.90754i	0.733819	−	0.600546i
$221$	7.89721	−	13.6784i	0.531224	−	0.920107i
$222$	−0.796627	−	0.138399i	−0.0534661	−	0.00928873i
$223$	−12.0353	+	10.0988i	−0.805943	+	0.676267i	−0.949636	−	0.313356i	$-0.898547\pi$
$223$	−12.0353	+	10.0988i	−0.805943	+	0.676267i	0.143692	+	0.989622i	$0.454102\pi$
$224$	15.0879	+	12.6603i	1.00811	+	0.845901i
$225$	7.24498	+	13.1343i	0.482998	+	0.875621i
$226$	−13.8821	−	5.05267i	−0.923423	−	0.336099i
$227$		−	16.9165i		−	1.12279i	−0.827549	−	0.561394i	$-0.810265\pi$
$227$		−	16.9165i		−	1.12279i	0.827549	−	0.561394i	$-0.189735\pi$
$228$	0.0365285	−	13.5510i	0.00241916	−	0.897438i
$229$	14.4657			0.955918			0.477959	−	0.878382i	$-0.341377\pi$
$229$	14.4657			0.955918			0.477959	+	0.878382i	$0.341377\pi$
$230$	−3.74741	+	19.8258i	−0.247097	+	1.30727i
$231$	−2.73089	−	15.2627i	−0.179679	−	1.00421i
$232$	−1.97655	+	2.35557i	−0.129767	+	0.154650i
$233$	22.1720	−	18.6045i	1.45254	−	1.21882i	0.521831	−	0.853049i	$-0.325249\pi$
$233$	22.1720	−	18.6045i	1.45254	−	1.21882i	0.930704	−	0.365773i	$-0.119195\pi$
$234$	31.8753	+	5.45506i	2.08375	+	0.356609i
$235$	7.29695	−	19.3071i	0.476000	−	1.25946i
$236$	5.32495	+	9.22309i	0.346625	+	0.600372i
$237$	5.33210	+	14.5358i	0.346357	+	0.944202i
$238$	13.3474	−	4.85804i	0.865181	−	0.314900i
$239$	20.4982	−	11.8346i	1.32592	−	0.765518i	0.341250	−	0.939972i	$-0.389150\pi$
$239$	20.4982	−	11.8346i	1.32592	−	0.765518i	0.984665	+	0.174455i	$0.0558163\pi$
$240$	5.94114	−	15.8403i	0.383499	−	1.02249i
$241$	−3.34902	−	0.590523i	−0.215729	−	0.0380389i	0.0647387	−	0.997902i	$-0.479379\pi$
$241$	−3.34902	−	0.590523i	−0.215729	−	0.0380389i	−0.280468	+	0.959863i	$0.590490\pi$
$242$	1.60322	+	1.91065i	0.103059	+	0.122821i
$243$	12.0667	+	9.86889i	0.774078	+	0.633090i
$244$	0.190664	+	1.08131i	0.0122060	+	0.0692239i
$245$	−1.04241	−	0.197033i	−0.0665969	−	0.0125879i
$246$	−0.0391376	−	15.5389i	−0.00249532	−	0.990725i
$247$	8.13127	+	22.7082i	0.517380	+	1.44489i
$248$	−0.998562			−0.0634087
$249$	7.11659	+	2.56995i	0.450996	+	0.162864i
$250$	17.1886	−	13.3758i	1.08710	−	0.845958i
$251$	3.29416	−	3.92582i	0.207925	−	0.247796i	−0.651996	−	0.758222i	$-0.726068\pi$
$251$	3.29416	−	3.92582i	0.207925	−	0.247796i	0.859921	+	0.510427i	$0.170513\pi$
$252$	8.89463	+	10.4924i	0.560309	+	0.660960i
$253$	−15.9855	−	2.81867i	−1.00500	−	0.177208i
$254$	−19.2013	−	11.0859i	−1.20480	−	0.695589i
$255$	−7.02283	−	8.53735i	−0.439786	−	0.534630i
$256$	−17.6301	+	6.41681i	−1.10188	+	0.401051i
$257$	0.466454	+	1.28157i	0.0290966	+	0.0799423i	0.953390	−	0.301739i	$-0.0975673\pi$
$257$	0.466454	+	1.28157i	0.0290966	+	0.0799423i	−0.924294	+	0.381682i	$0.875345\pi$
$258$	9.53298	+	16.4160i	0.593498	+	1.02201i
$259$	0.530142	+	0.306078i	0.0329414	+	0.0190187i
$260$	0.272720	−	22.2070i	0.0169134	−	1.37722i
$261$	−17.6104	+	14.9287i	−1.09006	+	0.924065i
$262$	−13.9038	−	11.6666i	−0.858977	−	0.720767i
$263$	−0.529373	−	3.00222i	−0.0326425	−	0.185125i	0.964127	−	0.265442i	$-0.0855178\pi$
$263$	−0.529373	−	3.00222i	−0.0326425	−	0.185125i	−0.996769	+	0.0803170i	$0.974407\pi$
$264$	2.28113	+	0.823762i	0.140394	+	0.0506991i
$265$	4.17404	+	25.4994i	0.256409	+	1.56642i
$266$	−7.52504	+	20.3442i	−0.461390	+	1.24738i
$267$	9.92580	−	0.0250000i	0.607449	−	0.00152997i
$268$	−24.9334	−	9.07500i	−1.52305	−	0.554344i
$269$	−1.78766	−	10.1383i	−0.108996	−	0.618144i	−0.989549	−	0.144197i	$-0.953940\pi$
$269$	−1.78766	−	10.1383i	−0.108996	−	0.618144i	0.880553	−	0.473947i	$-0.157171\pi$
$270$	11.4096	−	19.5482i	0.694366	−	1.18966i
$271$	−3.63495	+	3.05009i	−0.220808	+	0.185280i	−0.746481	−	0.665407i	$-0.768258\pi$
$271$	−3.63495	+	3.05009i	−0.220808	+	0.185280i	0.525673	+	0.850687i	$0.323814\pi$
$272$	−2.16506	+	12.2787i	−0.131276	+	0.744504i
$273$	−21.2340	−	12.1883i	−1.28514	−	0.737668i
$274$	−5.95485	+	3.43804i	−0.359746	+	0.207699i
$275$	10.9297	+	13.6949i	0.659085	+	0.825834i
$276$	13.5192	−	4.95919i	0.813761	−	0.298508i
$277$	7.37007	−	4.25511i	0.442825	−	0.255665i	−0.261970	−	0.965076i	$-0.584372\pi$
$277$	7.37007	−	4.25511i	0.442825	−	0.255665i	0.704795	+	0.709411i	$0.251039\pi$
$278$	−9.43913	−	5.44968i	−0.566121	−	0.326850i
$279$	−7.38969	−	1.26465i	−0.442409	−	0.0757128i
$280$	−1.48847	+	1.73029i	−0.0889532	+	0.103404i
$281$	−6.58010	−	5.52136i	−0.392536	−	0.329377i	0.425064	−	0.905163i	$-0.360252\pi$
$281$	−6.58010	−	5.52136i	−0.392536	−	0.329377i	−0.817600	+	0.575786i	$0.804696\pi$
$282$	−30.6579	+	5.48547i	−1.82565	+	0.326655i
$283$	0.0151674	−	0.0416721i	0.000901610	−	0.00247715i	−0.939241	−	0.343258i	$-0.888469\pi$
$283$	0.0151674	−	0.0416721i	0.000901610	−	0.00247715i	0.940143	+	0.340781i	$0.110692\pi$
$284$	−10.3587			−0.614673
$285$	16.8800	+	0.252811i	0.999888	+	0.0149752i
$286$	37.7752			2.23370
$287$	−4.02368	+	11.0550i	−0.237510	+	0.652554i
$288$	−22.7587	+	4.13129i	−1.34107	+	0.243439i
$289$	−6.78172	−	5.69054i	−0.398924	−	0.334737i
$290$	25.4125	+	21.8609i	1.49227	+	1.28372i
$291$	1.81888	−	10.4695i	0.106625	−	0.613734i
$292$	1.17119	+	0.676189i	0.0685389	+	0.0395710i
$293$	−18.5211	+	10.6932i	−1.08202	+	0.624702i	−0.931440	−	0.363896i	$-0.881446\pi$
$293$	−18.5211	+	10.6932i	−1.08202	+	0.624702i	−0.150576	+	0.988598i	$0.548113\pi$
$294$	0.551290	+	1.50287i	0.0321519	+	0.0876490i
$295$	−11.5707	+	6.49224i	−0.673674	+	0.377993i
$296$	−0.0829248	+	0.0478767i	−0.00481991	+	0.00278277i
$297$	15.8378	+	8.98511i	0.919005	+	0.521369i
$298$	5.35471	−	30.3680i	0.310190	−	1.75917i
$299$	−19.6347	+	16.4755i	−1.13551	+	0.952802i
$300$	−14.4860	−	5.63705i	−0.836349	−	0.325455i
$301$	−2.49568	−	14.1537i	−0.143849	−	0.815807i
$302$	25.2498	+	9.19016i	1.45296	+	0.528834i
$303$	0.0473762	+	18.8099i	0.00272169	+	1.08060i
$304$	−12.1627	−	14.6494i	−0.697578	−	0.840200i
$305$	−1.34991	+	0.220970i	−0.0772959	+	0.0126527i
$306$	−5.62620	+	15.7035i	−0.321629	+	0.897712i
$307$	−0.976405	−	5.53747i	−0.0557264	−	0.316040i	0.944184	−	0.329418i	$-0.106853\pi$
$307$	−0.976405	−	5.53747i	−0.0557264	−	0.316040i	−0.999911	+	0.0133782i	$0.995741\pi$
$308$	12.3085	+	10.3280i	0.701341	+	0.588495i
$309$	14.0485	−	11.8485i	0.799193	−	0.674040i
$310$	−0.133675	+	10.8849i	−0.00759224	+	0.618221i
$311$	−13.4363	−	7.75743i	−0.761901	−	0.439884i	0.0680770	−	0.997680i	$-0.478314\pi$
$311$	−13.4363	−	7.75743i	−0.761901	−	0.439884i	−0.829978	+	0.557796i	$0.811647\pi$
$312$	3.31178	−	1.92320i	0.187493	−	0.108880i
$313$	−2.10344	−	5.77917i	−0.118894	−	0.326658i	0.865943	−	0.500143i	$-0.166719\pi$
$313$	−2.10344	−	5.77917i	−0.118894	−	0.326658i	−0.984836	+	0.173485i	$0.944497\pi$
$314$	42.4487	−	15.4501i	2.39552	−	0.871898i
$315$	−13.2066	+	10.9196i	−0.744105	+	0.615249i
$316$	−13.8950	−	8.02229i	−0.781656	−	0.451289i
$317$	−31.3448	−	5.52694i	−1.76050	−	0.310424i	−0.802386	−	0.596805i	$-0.796437\pi$
$317$	−31.3448	−	5.52694i	−1.76050	−	0.310424i	−0.958116	+	0.286381i	$0.907548\pi$
$318$	29.8044	−	25.1370i	1.67135	−	1.40962i
$319$	−17.3346	+	20.6585i	−0.970549	+	1.15665i
$320$	4.64304	+	13.2611i	0.259554	+	0.741318i
$321$	1.51671	−	4.20002i	0.0846546	−	0.234422i
$322$	−23.0503			−1.28454
$323$	−12.2637	+	2.09655i	−0.682373	+	0.116655i
$324$	−16.1531	+	0.162744i	−0.897396	+	0.00904132i
$325$	27.6593	+	0.679458i	1.53426	+	0.0376896i
$326$	−6.39586	−	36.2727i	−0.354234	−	2.00896i
$327$	−13.2552	+	15.8780i	−0.733014	+	0.878054i
$328$	−1.18285	−	1.40967i	−0.0653122	−	0.0778360i
$329$	23.2213	+	4.09454i	1.28023	+	0.225739i
$330$	9.28486	−	24.7554i	0.511115	−	1.36274i
$331$	−8.90195	+	5.13954i	−0.489296	+	0.282495i	−0.724282	−	0.689504i	$-0.757829\pi$
$331$	−8.90195	+	5.13954i	−0.489296	+	0.282495i	0.234987	+	0.971999i	$0.424495\pi$
$332$	−7.36802	+	2.68174i	−0.404373	+	0.147180i
$333$	−0.674306	+	0.249281i	−0.0369517	+	0.0136605i
$334$	−5.26013	−	9.11082i	−0.287822	−	0.498522i
$335$	11.6862	−	30.9209i	0.638487	−	1.68939i
$336$	19.0419	+	3.30818i	1.03882	+	0.180476i
$337$	−16.9362	+	14.2112i	−0.922575	+	0.774132i	−0.974469	−	0.224520i	$-0.927918\pi$
$337$	−16.9362	+	14.2112i	−0.922575	+	0.774132i	0.0518946	+	0.998653i	$0.483474\pi$
$338$	22.0634	−	26.2941i	1.20009	−	1.43021i
$339$	−12.9297	+	2.31345i	−0.702244	+	0.125649i
$340$	11.2564	+	2.12765i	0.610464	+	0.115388i
$341$	−8.75747			−0.474244
$342$	−12.7331	−	22.0634i	−0.688527	−	1.19305i
$343$		−	19.0936i		−	1.03096i
$344$	2.11250	+	0.768888i	0.113898	+	0.0414556i
$345$	5.97088	+	16.9169i	0.321461	+	0.910773i
$346$	9.67291	+	8.11654i	0.520019	+	0.436348i
$347$	−6.04275	+	5.07047i	−0.324392	+	0.272197i	−0.790410	−	0.612578i	$-0.790132\pi$
$347$	−6.04275	+	5.07047i	−0.324392	+	0.272197i	0.466018	+	0.884775i	$0.345688\pi$
$348$	4.09503	−	23.5711i	0.219517	−	1.26354i
$349$	1.34444	−	2.32863i	0.0719660	−	0.124649i	−0.827797	−	0.561028i	$-0.810406\pi$
$349$	1.34444	−	2.32863i	0.0719660	−	0.124649i	0.899763	+	0.436379i	$0.143739\pi$
$350$	18.6619	+	16.4568i	0.997520	+	0.879655i
$351$	26.9440	−	10.0380i	1.43816	−	0.535789i
$352$	−25.3897	+	9.24111i	−1.35328	+	0.492553i
$353$	−4.72110	−	8.17719i	−0.251279	−	0.435228i	0.712599	−	0.701571i	$-0.247518\pi$
$353$	−4.72110	−	8.17719i	−0.251279	−	0.435228i	−0.963878	+	0.266343i	$0.914185\pi$
$354$	17.3632	+	9.96643i	0.922844	+	0.529710i
$355$	0.158469	−	12.9039i	0.00841068	−	0.684865i
$356$	−7.87946	+	6.61165i	−0.417610	+	0.350417i
$357$	8.09341	−	9.69484i	0.428349	−	0.513105i
$358$	31.5097	−	5.55602i	1.66534	−	0.293645i
$359$	3.47740	−	9.55408i	0.183530	−	0.504245i	−0.813473	−	0.581602i	$-0.802426\pi$
$359$	3.47740	−	9.55408i	0.183530	−	0.504245i	0.997003	+	0.0773574i	$0.0246483\pi$
$360$	−0.446324	−	2.64303i	−0.0235233	−	0.139300i
$361$	9.67108	−	16.3545i	0.509004	−	0.860764i
$362$	−8.72211			−0.458424
$363$	2.08579	+	0.753221i	0.109475	+	0.0395338i
$364$	24.9861	−	4.40573i	1.30963	−	0.230923i
$365$	−0.860251	+	1.44862i	−0.0450276	+	0.0758243i
$366$	1.33073	+	1.57782i	0.0695585	+	0.0824738i
$367$	25.2792	+	4.45740i	1.31956	+	0.232674i	0.788697	−	0.614782i	$-0.210756\pi$
$367$	25.2792	+	4.45740i	1.31956	+	0.232674i	0.530865	+	0.847457i	$0.321867\pi$
$368$	10.1167	−	17.5226i	0.527367	−	0.913427i
$369$	−6.96820	−	11.9301i	−0.362750	−	0.621056i
$370$	0.510783	+	0.910338i	0.0265543	+	0.0473262i
$371$	−27.7384	+	10.0960i	−1.44011	+	0.524156i
$372$	6.71842	−	3.90148i	0.348334	−	0.202282i
$373$	−6.43057	+	11.1381i	−0.332963	+	0.576708i	−0.983091	−	0.183116i	$-0.941382\pi$
$373$	−6.43057	+	11.1381i	−0.332963	+	0.576708i	0.650129	+	0.759824i	$0.274715\pi$
$374$	−3.38358	+	19.1892i	−0.174961	+	0.992251i
$375$	7.24372	−	17.9591i	0.374064	−	0.927403i
$376$	−2.37080	+	2.82541i	−0.122265	+	0.145709i
$377$	7.39456	+	41.9367i	0.380839	+	2.15985i
$378$	24.3644	+	8.66001i	1.25317	+	0.445423i
$379$			27.6812i			1.42189i	0.703249	+	0.710943i	$0.251732\pi$
$379$			27.6812i			1.42189i	−0.703249	+	0.710943i	$0.748268\pi$
$380$	−13.5961	+	11.0090i	−0.697466	+	0.564749i
$381$	−19.7133	+	0.0496517i	−1.00994	+	0.00254373i
$382$	13.5787	+	4.94223i	0.694745	+	0.252867i
$383$	21.3349	−	3.76192i	1.09016	−	0.192225i	0.400458	−	0.916315i	$-0.368851\pi$
$383$	21.3349	−	3.76192i	1.09016	−	0.192225i	0.689706	+	0.724090i	$0.257740\pi$
$384$	−3.52958	+	4.22797i	−0.180118	+	0.215757i
$385$	−13.0540	+	15.1748i	−0.665294	+	0.773378i
$386$	−17.5647	−	3.09713i	−0.894020	−	0.157640i
$387$	14.6594	+	8.36546i	0.745181	+	0.425240i
$388$	5.50591	+	9.53652i	0.279520	+	0.484143i
$389$	5.82967	+	16.0169i	0.295576	+	0.812089i	0.995225	+	0.0976024i	$0.0311173\pi$
$389$	5.82967	+	16.0169i	0.295576	+	0.812089i	−0.699649	+	0.714486i	$0.746660\pi$
$390$	−20.5206	−	36.3578i	−1.03910	−	1.84105i
$391$	−6.61059	−	11.4499i	−0.334312	−	0.579045i
$392$	0.164175	+	0.0947864i	0.00829208	+	0.00478744i
$393$	−15.8995	−	2.76223i	−0.802022	−	0.139336i
$394$	1.76669	+	2.10546i	0.0890045	+	0.106071i
$395$	10.2060	−	17.1864i	0.513520	−	0.864742i
$396$	−18.5662	+	3.37024i	−0.932986	+	0.169361i
$397$	−1.36013	+	3.73692i	−0.0682629	+	0.187551i	−0.969133	−	0.246537i	$-0.920707\pi$
$397$	−1.36013	+	3.73692i	−0.0682629	+	0.187551i	0.900870	+	0.434088i	$0.142929\pi$
$398$		−	3.07116i		−	0.153943i
$399$	3.29780	+	19.0022i	0.165097	+	0.951298i
$400$	−20.7009	+	6.96373i	−1.03505	+	0.348186i
$401$	−26.2223	−	9.54414i	−1.30948	−	0.476611i	−0.409407	−	0.912352i	$-0.634264\pi$
$401$	−26.2223	−	9.54414i	−1.30948	−	0.476611i	−0.900072	+	0.435740i	$0.856487\pi$
$402$	−49.0994	+	8.78511i	−2.44885	+	0.438162i
$403$	−8.88881	+	10.5933i	−0.442783	+	0.527688i
$404$	−12.5294	−	14.9320i	−0.623361	−	0.742893i
$405$	0.0443835	−	20.1246i	0.00220543	−	0.999998i
$406$	−19.1478	+	33.1649i	−0.950288	+	1.64595i
$407$	−0.727258	+	0.419882i	−0.0360488	+	0.0208128i
$408$	0.680313	+	1.85460i	0.0336805	+	0.0918163i
$409$	−2.88865	−	7.93649i	−0.142834	−	0.392434i	0.847561	−	0.530698i	$-0.178070\pi$
$409$	−2.88865	−	7.93649i	−0.142834	−	0.392434i	−0.990395	+	0.138264i	$0.955848\pi$
$410$	−15.5246	+	12.7051i	−0.766705	+	0.627460i
$411$	−3.04349	+	5.30227i	−0.150124	+	0.261542i
$412$	−3.30707	+	18.7553i	−0.162928	+	0.924008i
$413$	−9.74286	−	11.6111i	−0.479415	−	0.571344i
$414$	17.2956	−	20.8242i	0.850033	−	1.02346i
$415$	−3.22795	−	9.21943i	−0.158454	−	0.452564i
$416$	−14.5922	+	40.0918i	−0.715442	+	1.96566i
$417$	−9.69084	+	0.0244082i	−0.474562	+	0.00119527i
$418$	−19.0080	−	22.8942i	−0.929710	−	1.11979i
$419$			28.7815i			1.40607i	0.711155	+	0.703035i	$0.248172\pi$
$419$			28.7815i			1.40607i	−0.711155	+	0.703035i	$0.751828\pi$
$420$	3.25418	−	17.4572i	0.158788	−	0.851822i
$421$	−30.5126	+	5.38020i	−1.48710	+	0.262215i	−0.857409	−	0.514635i	$-0.827927\pi$
$421$	−30.5126	+	5.38020i	−1.48710	+	0.262215i	−0.629686	+	0.776850i	$0.716816\pi$
$422$	9.77978	+	8.20621i	0.476072	+	0.399472i
$423$	−21.1230	+	17.9064i	−1.02704	+	0.870639i
$424$	0.801786	−	4.54715i	0.0389382	−	0.220829i
$425$	−2.82264	+	13.9896i	−0.136918	+	0.678597i
$426$	−16.8393	+	9.77881i	−0.815867	+	0.473785i
$427$	−0.534471	−	1.46845i	−0.0258649	−	0.0710631i
$428$	1.58269	+	4.34840i	0.0765022	+	0.210188i
$429$	29.0446	−	16.8666i	1.40229	−	0.814327i
$430$	8.66413	−	22.9246i	0.417821	−	1.10552i
$431$	2.95609	−	16.7648i	0.142390	−	0.807532i	−0.827036	−	0.562149i	$-0.809975\pi$
$431$	2.95609	−	16.7648i	0.142390	−	0.807532i	0.969426	−	0.245384i	$-0.0789140\pi$
$432$	−17.2767	+	14.7207i	−0.831224	+	0.708251i
$433$	18.8150	+	15.7877i	0.904194	+	0.758708i	0.971006	−	0.239057i	$-0.0768383\pi$
$433$	18.8150	+	15.7877i	0.904194	+	0.758708i	−0.0668120	+	0.997766i	$0.521283\pi$
$434$	−12.2471	+	2.15949i	−0.587880	+	0.103659i
$435$	29.3000	+	5.46181i	1.40483	+	0.261874i
$436$		−	21.4339i		−	1.02650i
$437$	19.8651	+	3.60966i	0.950278	+	0.172673i
$438$	2.54226	−	0.00640316i	0.121474	−	0.000305955i
$439$	−10.5919	+	29.1010i	−0.505524	+	1.38892i	0.380287	+	0.924869i	$0.375825\pi$
$439$	−10.5919	+	29.1010i	−0.505524	+	1.38892i	−0.885811	+	0.464047i	$0.846397\pi$
$440$	−1.03468	−	2.95516i	−0.0493262	−	0.140882i
$441$	1.09490	+	0.909375i	0.0521383	+	0.0433036i
$442$	19.7775	+	23.5699i	0.940718	+	1.12110i
$443$	0.686661	−	3.89425i	0.0326242	−	0.185021i	−0.964141	−	0.265391i	$-0.914499\pi$
$443$	0.686661	−	3.89425i	0.0326242	−	0.185021i	0.996765	+	0.0803697i	$0.0256101\pi$
$444$	0.370868	−	0.646114i	0.0176006	−	0.0306632i
$445$	−8.11564	−	9.91665i	−0.384718	−	0.470094i
$446$	−10.4678	−	28.7599i	−0.495663	−	1.36182i
$447$	−9.44218	−	25.7403i	−0.446600	−	1.21747i
$448$	−13.9010	+	8.02572i	−0.656758	+	0.379180i
$449$	−18.9524	+	32.8265i	−0.894419	+	1.54918i	−0.0598976	+	0.998205i	$0.519077\pi$
$449$	−18.9524	+	32.8265i	−0.894419	+	1.54918i	−0.834522	+	0.550975i	$0.814256\pi$
$450$	−28.8703	+	4.51138i	−1.36096	+	0.212669i
$451$	−10.3737	−	12.3629i	−0.488480	−	0.582148i
$452$	8.74931	−	10.4270i	0.411533	−	0.490446i
$453$	23.5174	−	4.20786i	1.10495	−	0.197703i
$454$	30.9667	+	11.2710i	1.45334	+	0.528973i
$455$	5.10601	+	31.1928i	0.239373	+	1.46234i
$456$	−2.83202	−	1.03943i	−0.132622	−	0.0486756i
$457$		−	32.7264i		−	1.53087i	−0.643511	−	0.765437i	$-0.722523\pi$
$457$		−	32.7264i		−	1.53087i	0.643511	−	0.765437i	$-0.277477\pi$
$458$	−9.63805	+	26.4803i	−0.450356	+	1.23734i
$459$	2.68574	+	14.5862i	0.125360	+	0.680827i
$460$	−15.9844	−	9.49222i	−0.745278	−	0.442577i
$461$	12.3014	+	14.6602i	0.572931	+	0.682793i	0.972230	−	0.234028i	$-0.0751908\pi$
$461$	12.3014	+	14.6602i	0.572931	+	0.682793i	−0.399299	+	0.916821i	$0.630746\pi$
$462$	29.7589	+	5.17005i	1.38451	+	0.240533i
$463$	−9.75289	−	5.63083i	−0.453255	−	0.261687i	0.255949	−	0.966690i	$-0.417612\pi$
$463$	−9.75289	−	5.63083i	−0.453255	−	0.261687i	−0.709204	+	0.705003i	$0.750945\pi$
$464$	−16.8077	−	29.1118i	−0.780278	−	1.35148i
$465$	4.75732	+	8.42888i	0.220616	+	0.390880i
$466$	19.2842	+	52.9829i	0.893323	+	2.45439i
$467$	8.21797	+	14.2339i	0.380282	+	0.658668i	0.991102	−	0.133101i	$-0.0424935\pi$
$467$	8.21797	+	14.2339i	0.380282	+	0.658668i	−0.610820	+	0.791769i	$0.709160\pi$
$468$	−14.7679	+	25.8789i	−0.682646	+	1.19625i
$469$	37.1894	+	6.55750i	1.71725	+	0.302797i
$470$	30.4812	+	26.2213i	1.40599	+	1.20950i
$471$	25.7395	−	30.8326i	1.18601	−	1.42069i
$472$	2.33487	−	0.411701i	0.107471	−	0.0189501i
$473$	18.5268	+	6.74321i	0.851864	+	0.310053i
$474$	−30.1613	+	0.0759669i	−1.38536	+	0.00348928i
$475$	−13.5060	−	17.1052i	−0.619697	−	0.784841i
$476$			13.0872i			0.599851i
$477$	11.6923	−	32.6350i	0.535355	−	1.49425i
$478$	8.00670	+	45.4083i	0.366218	+	2.07693i
$479$	25.4457	−	30.3250i	1.16264	−	1.38558i	0.254423	−	0.967093i	$-0.418114\pi$
$479$	25.4457	−	30.3250i	1.16264	−	1.38558i	0.908221	−	0.418492i	$-0.137441\pi$
$480$	22.6868	+	19.4170i	1.03551	+	0.886262i
$481$	−0.230263	+	1.30589i	−0.0104991	+	0.0595434i
$482$	3.31235	−	5.73715i	0.150873	−	0.261320i
$483$	−17.7229	+	10.2919i	−0.806421	+	0.468300i
$484$	−2.15948	+	0.785986i	−0.0981581	+	0.0357266i
$485$	−11.9639	+	6.71287i	−0.543255	+	0.304816i
$486$	−26.1053	+	15.5135i	−1.18416	+	0.703706i
$487$	9.63876	−	16.6948i	0.436774	−	0.756515i	−0.560665	−	0.828043i	$-0.689454\pi$
$487$	9.63876	−	16.6948i	0.436774	−	0.756515i	0.997439	+	0.0715284i	$0.0227876\pi$
$488$	0.240722	+	0.0424458i	0.0108970	+	0.00192143i
$489$	−21.1134	−	25.0336i	−0.954781	−	1.13206i
$490$	1.05521	−	1.77691i	0.0476693	−	0.0802728i
$491$	10.0136	−	1.76568i	0.451909	−	0.0796838i	0.0569390	−	0.998378i	$-0.481866\pi$
$491$	10.0136	−	1.76568i	0.451909	−	0.0796838i	0.394970	+	0.918694i	$0.370755\pi$
$492$	13.4661	+	4.86288i	0.607098	+	0.219236i
$493$	−21.9655			−0.989277
$494$	−46.9864	−	0.245004i	−2.11402	−	0.0110232i
$495$	−3.91430	−	23.1796i	−0.175935	−	1.04185i
$496$	3.73357	−	10.2579i	0.167642	−	0.460593i
$497$	14.5187	−	2.56004i	0.651253	−	0.114833i
$498$	−9.44603	+	11.3151i	−0.423287	+	0.507041i
$499$	−6.09705	+	5.11603i	−0.272942	+	0.229025i	−0.768976	−	0.639278i	$-0.779233\pi$
$499$	−6.09705	+	5.11603i	−0.272942	+	0.229025i	0.496034	+	0.868303i	$0.334789\pi$
$500$	6.16425	+	19.0972i	0.275674	+	0.854052i
$501$	−8.11238	−	4.65648i	−0.362435	−	0.208036i
$502$	4.99167	+	8.64583i	0.222789	+	0.385882i
$503$	7.33568	−	2.66997i	0.327082	−	0.119048i	−0.173260	−	0.984876i	$-0.555430\pi$
$503$	7.33568	−	2.66997i	0.327082	−	0.119048i	0.500342	+	0.865828i	$0.333208\pi$
$504$	2.87220	−	1.06181i	0.127938	−	0.0472968i
$505$	18.7925	−	15.3795i	0.836257	−	0.684381i
$506$	15.8104	−	27.3844i	0.702858	−	1.21739i
$507$	5.22380	−	30.0683i	0.231997	−	1.33538i
$508$	15.6491	−	13.1312i	0.694319	−	0.582602i
$509$	10.2192	+	8.57493i	0.452958	+	0.380077i	0.840532	−	0.541761i	$-0.182242\pi$
$509$	10.2192	+	8.57493i	0.452958	+	0.380077i	−0.387574	+	0.921839i	$0.626687\pi$
$510$	20.3073	−	7.16754i	0.899221	−	0.317384i
$511$	−1.80866	−	0.658298i	−0.0800104	−	0.0291214i
$512$		−	30.1887i		−	1.33416i
$513$	−19.6415	−	11.2788i	−0.867194	−	0.497971i
$514$	−2.65679			−0.117186
$515$	−23.3130	−	4.40656i	−1.02730	−	0.194176i
$516$	−17.2172	+	3.08060i	−0.757947	+	0.135616i
$517$	−20.7921	+	24.7791i	−0.914435	+	1.08978i
$518$	−0.913513	+	0.766528i	−0.0401375	+	0.0336793i
$519$	11.0613	+	1.92170i	0.485539	+	0.0843532i
$520$	−4.62484	−	1.74791i	−0.202812	−	0.0766510i
$521$	17.1069	+	29.6301i	0.749468	+	1.29812i	0.948078	+	0.318039i	$0.103024\pi$
$521$	17.1069	+	29.6301i	0.749468	+	1.29812i	−0.198609	+	0.980079i	$0.563643\pi$
$522$	−15.5947	−	42.1836i	−0.682560	−	1.84633i
$523$	1.82613	−	0.664658i	0.0798512	−	0.0290635i	−0.301786	−	0.953376i	$-0.597583\pi$
$523$	1.82613	−	0.664658i	0.0798512	−	0.0290635i	0.381637	+	0.924312i	$0.375360\pi$
$524$	14.4826	−	8.36152i	0.632674	−	0.365275i
$525$	21.6967	+	4.32082i	0.946923	+	0.188576i
$526$	5.84846	+	1.03124i	0.255005	+	0.0449643i
$527$	−4.58503	−	5.46423i	−0.199727	−	0.238026i
$528$	−16.9912	+	20.3533i	−0.739449	+	0.885762i
$529$	−0.268214	−	1.52112i	−0.0116615	−	0.0661356i
$530$	−49.4593	−	9.34865i	−2.14838	−	0.406080i
$531$	17.8002	−	0.0896669i	0.772464	−	0.00389121i
$532$	−15.2428	−	12.9263i	−0.660861	−	0.560426i
$533$	−25.4838			−1.10383
$534$	−6.56751	+	18.1865i	−0.284204	+	0.787005i
$535$	−5.44105	+	1.90505i	−0.235237	+	0.0823623i
$536$	−3.79689	+	4.52496i	−0.164001	+	0.195448i
$537$	21.7465	−	18.3410i	0.938429	−	0.791472i
$538$	19.7499	+	3.48244i	0.851479	+	0.150139i
$539$	1.43983	+	0.831285i	0.0620178	+	0.0358060i
$540$	13.3295	+	16.0387i	0.573610	+	0.690197i
$541$	−13.2123	+	4.80889i	−0.568042	+	0.206750i	−0.610045	−	0.792367i	$-0.708848\pi$
$541$	−13.2123	+	4.80889i	−0.568042	+	0.206750i	0.0420025	+	0.999118i	$0.486626\pi$
$542$	−3.16152	−	8.68620i	−0.135799	−	0.373104i
$543$	−6.70626	+	3.89441i	−0.287793	+	0.167125i
$544$	−19.0590	−	11.0037i	−0.817146	−	0.471779i
$545$	26.7004	+	0.327901i	1.14372	+	0.0140457i
$546$	36.4590	−	30.7496i	1.56030	−	1.31596i
$547$	−27.4917	−	23.0683i	−1.17546	−	0.986329i	−0.999998	−	0.00184341i	$-0.999413\pi$
$547$	−27.4917	−	23.0683i	−1.17546	−	0.986329i	−0.175463	−	0.984486i	$-0.556142\pi$
$548$	−1.10014	−	6.23920i	−0.0469956	−	0.266525i
$549$	1.72767	+	0.618982i	0.0737351	+	0.0264175i
$550$	−32.3515	+	10.8830i	−1.37947	+	0.464051i
$551$	21.6955	−	25.5835i	0.924257	−	1.08989i
$552$	−0.00807427	−	3.20575i	−0.000343664	−	0.136446i
$553$	21.4579	+	7.81004i	0.912483	+	0.332117i
$554$	2.87879	+	16.3264i	0.122308	+	0.693644i
$555$	0.799196	+	0.471877i	0.0339240	+	0.0200301i
$556$	7.69294	−	6.45514i	0.326253	−	0.273759i
$557$	−3.83879	+	21.7708i	−0.162655	+	0.922460i	0.788795	+	0.614656i	$0.210705\pi$
$557$	−3.83879	+	21.7708i	−0.162655	+	0.922460i	−0.951450	+	0.307804i	$0.900406\pi$
$558$	7.23857	−	12.6847i	0.306433	−	0.536986i
$559$	26.9614	−	15.5662i	1.14035	−	0.658380i
$560$	−12.2094	−	21.7600i	−0.515939	−	0.919528i
$561$	5.96640	+	16.2650i	0.251902	+	0.686708i
$562$	14.4913	−	8.36658i	0.611280	−	0.352923i
$563$	−13.4127	−	7.74383i	−0.565278	−	0.326364i	0.189983	−	0.981787i	$-0.439157\pi$
$563$	−13.4127	−	7.74383i	−0.565278	−	0.326364i	−0.755261	+	0.655424i	$0.772490\pi$
$564$	4.91182	−	28.2726i	0.206825	−	1.19049i
$565$	12.8552	+	11.0586i	0.540821	+	0.465239i
$566$	0.0661779	+	0.0555299i	0.00278167	+	0.00233409i
$567$	22.6000	−	4.22019i	0.949112	−	0.177231i
$568$	−0.788715	+	2.16698i	−0.0330938	+	0.0909243i
$569$	35.4538			1.48630			0.743150	−	0.669124i	$-0.233331\pi$
$569$	35.4538			1.48630			0.743150	+	0.669124i	$0.233331\pi$
$570$	−11.7095	+	30.7316i	−0.490456	+	1.28720i
$571$	32.9510			1.37896			0.689478	−	0.724307i	$-0.257840\pi$
$571$	32.9510			1.37896			0.689478	+	0.724307i	$0.257840\pi$
$572$	−11.9041	+	32.7062i	−0.497734	+	1.36751i
$573$	12.6471	−	2.26288i	0.528339	−	0.0945331i
$574$	−17.5560	−	14.7312i	−0.732772	−	0.614868i
$575$	12.0691	−	19.7667i	0.503315	−	0.824329i
$576$	3.17982	−	18.5805i	0.132493	−	0.774188i
$577$	−29.8370	−	17.2264i	−1.24213	−	0.717145i	−0.272603	−	0.962127i	$-0.587885\pi$
$577$	−29.8370	−	17.2264i	−1.24213	−	0.717145i	−0.969528	+	0.244982i	$0.921218\pi$
$578$	14.9354	−	8.62293i	0.621229	−	0.358667i
$579$	−14.8880	+	5.46130i	−0.618725	+	0.226964i
$580$	−26.9356	+	15.1133i	−1.11844	+	0.627548i
$581$	9.66426	−	5.57966i	0.400941	−	0.231483i
$582$	17.9533	+	10.3051i	0.744187	+	0.427161i
$583$	7.03173	−	39.8789i	0.291225	−	1.65162i
$584$	0.230631	−	0.193522i	0.00954357	−	0.00800801i
$585$	−32.0117	−	18.7924i	−1.32352	−	0.776969i
$586$	−7.23446	−	41.0287i	−0.298853	−	1.69488i
$587$	−33.0142	−	12.0162i	−1.36264	−	0.495961i	−0.445771	−	0.895147i	$-0.647070\pi$
$587$	−33.0142	−	12.0162i	−1.36264	−	0.495961i	−0.916870	+	0.399186i	$0.869293\pi$
$588$	−1.47493	+	0.00371487i	−0.0608249	+	0.000153199i
$589$	10.8929	+	0.0567995i	0.448835	+	0.00234038i
$590$	−4.17522	−	25.5066i	−0.171891	−	1.05009i
$591$	2.29846	+	0.830020i	0.0945459	+	0.0341425i
$592$	−0.181770	−	1.03087i	−0.00747069	−	0.0423684i
$593$	−1.12833	−	0.946783i	−0.0463350	−	0.0388797i	0.619326	−	0.785134i	$-0.287406\pi$
$593$	−1.12833	−	0.946783i	−0.0463350	−	0.0388797i	−0.665661	+	0.746254i	$0.731850\pi$
$594$	−27.0001	+	23.0057i	−1.10783	+	0.943934i
$595$	−16.3028	−	0.200211i	−0.668351	−	0.00820786i
$596$	24.6055	+	14.2060i	1.00788	+	0.581901i
$597$	−1.37127	−	2.36135i	−0.0561223	−	0.0966438i
$598$	−17.0774	−	46.9198i	−0.698347	−	1.91869i
$599$	1.19078	−	0.433410i	0.0486542	−	0.0177087i	−0.317578	−	0.948232i	$-0.602870\pi$
$599$	1.19078	−	0.433410i	0.0486542	−	0.0177087i	0.366233	+	0.930523i	$0.380647\pi$
$600$	−2.28222	+	2.60119i	−0.0931711	+	0.106193i
$601$	13.2246	+	7.63525i	0.539444	+	0.311448i	0.744854	−	0.667228i	$-0.232519\pi$
$601$	13.2246	+	7.63525i	0.539444	+	0.311448i	−0.205409	+	0.978676i	$0.565853\pi$
$602$	27.5721	+	4.86170i	1.12375	+	0.198148i
$603$	−33.8290	+	28.6775i	−1.37762	+	1.16784i
$604$	−15.9139	+	18.9654i	−0.647526	+	0.771692i
$605$	−0.946073	−	2.70210i	−0.0384633	−	0.109856i
$606$	−34.4643	−	12.4458i	−1.40002	−	0.505574i
$607$	11.2130			0.455120			0.227560	−	0.973764i	$-0.426925\pi$
$607$	11.2130			0.455120			0.227560	+	0.973764i	$0.426925\pi$
$608$	31.6408	−	11.3298i	1.28320	−	0.459485i
$609$	0.0857595	+	34.0493i	0.00347515	+	1.37975i
$610$	0.494909	−	2.61833i	0.0200383	−	0.106013i
$611$	8.86948	+	50.3013i	0.358821	+	2.03497i
$612$	−11.8233	−	9.81987i	−0.477929	−	0.396945i
$613$	−2.14081	−	2.55132i	−0.0864664	−	0.103047i	0.721077	−	0.692855i	$-0.243648\pi$
$613$	−2.14081	−	2.55132i	−0.0864664	−	0.103047i	−0.807543	+	0.589809i	$0.799203\pi$
$614$	10.7872	+	1.90208i	0.435338	+	0.0767618i
$615$	−6.26373	+	16.7004i	−0.252578	+	0.673426i
$616$	3.09775	−	1.78849i	0.124812	−	0.0720602i
$617$	−28.5170	+	10.3793i	−1.14805	+	0.417857i	−0.844815	−	0.535059i	$-0.820289\pi$
$617$	−28.5170	+	10.3793i	−1.14805	+	0.417857i	−0.303237	+	0.952915i	$0.598067\pi$
$618$	12.3294	+	33.6111i	0.495961	+	1.35204i
$619$	−12.9241	−	22.3852i	−0.519463	−	0.899737i	−0.999744	−	0.0226219i	$-0.992799\pi$
$619$	−12.9241	−	22.3852i	−0.519463	−	0.899737i	0.480281	−	0.877115i	$-0.340535\pi$
$620$	−9.38214	−	3.54589i	−0.376796	−	0.142406i
$621$	4.00025	−	23.7338i	0.160524	−	0.952405i
$622$	23.1527	−	19.4274i	0.928338	−	0.778968i
$623$	9.40985	−	11.2142i	0.376998	−	0.449288i
$624$	7.37378	+	41.2115i	0.295188	+	1.64978i
$625$	−23.8838	+	7.38670i	−0.955353	+	0.295468i
$626$	11.9806			0.478841
$627$	−24.8371	−	9.11586i	−0.991898	−	0.364052i
$628$			41.6213i			1.66087i
$629$	−0.642746	−	0.233941i	−0.0256280	−	0.00932782i
$630$	−11.1899	−	31.4508i	−0.445815	−	1.25303i
$631$	22.2274	+	18.6510i	0.884860	+	0.742486i	0.967172	−	0.254121i	$-0.0817861\pi$
$631$	22.2274	+	18.6510i	0.884860	+	0.742486i	−0.0823126	+	0.996607i	$0.526231\pi$
$632$	−2.73620	+	2.29594i	−0.108840	+	0.0913277i
$633$	11.1835	+	1.94293i	0.444506	+	0.0772245i
$634$	31.0016	−	53.6963i	1.23123	−	2.13255i
$635$	16.1182	+	19.6951i	0.639632	+	0.781578i
$636$	12.3717	+	33.7264i	0.490569	+	1.33734i
$637$	2.46697	−	0.897902i	0.0977447	−	0.0355762i
$638$	−26.2672	−	45.4962i	−1.03993	−	1.80121i
$639$	−8.58118	+	15.0375i	−0.339466	+	0.594873i
$640$	7.10974	+	0.0873131i	0.281037	+	0.00345135i
$641$	4.90809	−	4.11838i	0.193858	−	0.162666i	−0.540692	−	0.841221i	$-0.681838\pi$
$641$	4.90809	−	4.11838i	0.193858	−	0.162666i	0.734550	+	0.678554i	$0.237393\pi$
$642$	6.67786	+	5.57479i	0.263554	+	0.220019i
$643$	31.2937	−	5.51792i	1.23410	−	0.217606i	0.481716	−	0.876327i	$-0.340014\pi$
$643$	31.2937	−	5.51792i	1.23410	−	0.217606i	0.752386	+	0.658722i	$0.228903\pi$
$644$	7.26383	−	19.9572i	0.286235	−	0.786424i
$645$	−3.57413	−	21.4948i	−0.140731	−	0.846356i
$646$	4.33310	−	23.8464i	0.170483	−	0.938226i
$647$	37.8062			1.48632			0.743158	−	0.669116i	$-0.233327\pi$
$647$	37.8062			1.48632			0.743158	+	0.669116i	$0.233327\pi$
$648$	−1.19587	+	3.39154i	−0.0469780	+	0.133232i
$649$	20.4770	−	3.61065i	0.803793	−	0.141730i
$650$	−19.6724	+	50.1795i	−0.771615	+	1.96820i
$651$	−8.45234	+	7.12871i	−0.331273	+	0.279396i
$652$	33.4208	+	5.89299i	1.30886	+	0.230787i
$653$	−19.1269	+	33.1288i	−0.748494	+	1.29643i	0.200050	+	0.979786i	$0.435890\pi$
$653$	−19.1269	+	33.1288i	−0.748494	+	1.29643i	−0.948544	+	0.316644i	$0.897444\pi$
$654$	−20.2341	−	34.8435i	−0.791216	−	1.36249i
$655$	10.1944	+	18.1690i	0.398330	+	0.709920i
$656$	18.9037	−	6.88038i	0.738065	−	0.268634i
$657$	1.95184	−	1.14004i	0.0761484	−	0.0444772i
$658$	−22.9670	+	39.7800i	−0.895346	+	1.55078i
$659$	−4.63216	+	26.2703i	−0.180443	+	1.02334i	0.751228	+	0.660043i	$0.229462\pi$
$659$	−4.63216	+	26.2703i	−0.180443	+	1.02334i	−0.931671	+	0.363302i	$0.881649\pi$
$660$	18.5075	+	15.8401i	0.720404	+	0.616574i
$661$	−0.258379	+	0.307924i	−0.0100498	+	0.0119768i	−0.771046	−	0.636780i	$-0.780266\pi$
$661$	−0.258379	+	0.307924i	−0.0100498	+	0.0119768i	0.760996	+	0.648756i	$0.224711\pi$
$662$	−3.47716	−	19.7199i	−0.135143	−	0.766437i
$663$	25.7304	+	9.29178i	0.999287	+	0.360863i
$664$			1.74554i			0.0677402i
$665$	16.3356	−	18.7904i	0.633466	−	0.728659i
$666$	−0.00705463	−	1.40045i	−0.000273361	−	0.0542663i
$667$	33.4961	+	12.1916i	1.29697	+	0.472060i
$668$	9.54586	−	1.68319i	0.369340	−	0.0651247i
$669$	−20.8897	−	17.4391i	−0.807644	−	0.674235i
$670$	48.8164	+	41.9941i	1.88594	+	1.62237i
$671$	2.11115	+	0.372253i	0.0815002	+	0.0143707i
$672$	−16.9827	+	29.5867i	−0.655122	+	1.14133i
$673$	7.58328	+	13.1346i	0.292314	+	0.506303i	0.974357	−	0.225010i	$-0.0722414\pi$
$673$	7.58328	+	13.1346i	0.292314	+	0.506303i	−0.682042	+	0.731313i	$0.738908\pi$
$674$	−14.7304	−	40.4713i	−0.567392	−	1.55890i
$675$	−20.1835	+	16.3593i	−0.776863	+	0.629669i
$676$	15.8129	+	27.3887i	0.608188	+	1.05341i
$677$	−38.2701	−	22.0953i	−1.47084	−	0.849190i	−0.471377	−	0.881932i	$-0.656243\pi$
$677$	−38.2701	−	22.0953i	−1.47084	−	0.849190i	−0.999464	+	0.0327417i	$0.989576\pi$
$678$	4.37976	−	25.2100i	0.168204	−	0.968184i
$679$	−10.0740	−	12.0057i	−0.386603	−	0.460735i
$680$	1.30217	−	2.19278i	0.0499358	−	0.0840894i
$681$	28.8422	−	5.16059i	1.10524	−	0.197754i
$682$	5.83485	−	16.0311i	0.223428	−	0.613863i
$683$		−	18.7207i		−	0.716326i	−0.933659	−	0.358163i	$-0.883403\pi$
$683$		−	18.7207i		−	0.716326i	0.933659	−	0.358163i	$-0.116597\pi$
$684$	23.1153	−	4.07163i	0.883835	−	0.155683i
$685$	7.78905	−	1.27500i	0.297604	−	0.0487153i
$686$	34.9520	+	12.7215i	1.33447	+	0.485709i
$687$	4.41293	+	24.6636i	0.168364	+	0.940974i
$688$	−15.7971	+	18.8262i	−0.602257	+	0.717742i
$689$	−41.1014	−	48.9827i	−1.56584	−	1.86609i
$690$	−34.9456	−	0.341132i	−1.33036	−	0.0129867i
$691$	−8.61883	+	14.9283i	−0.327876	+	0.567897i	−0.982090	−	0.188412i	$-0.939666\pi$
$691$	−8.61883	+	14.9283i	−0.327876	+	0.567897i	0.654214	+	0.756309i	$0.272999\pi$
$692$	−10.0756	+	5.81715i	−0.383017	+	0.221135i
$693$	25.1895	−	9.31218i	0.956869	−	0.353740i
$694$	−5.25571	−	14.4399i	−0.199504	−	0.548133i
$695$	7.92353	+	9.68190i	0.300557	+	0.367255i
$696$	−4.61915	−	2.65138i	−0.175089	−	0.100500i
$697$	2.28262	−	12.9454i	0.0864605	−	0.490342i
$698$	3.36695	+	4.01258i	0.127441	+	0.151878i
$699$	38.4841	+	32.1271i	1.45560	+	1.21516i
$700$	−20.1294	+	10.9716i	−0.760820	+	0.414689i
$701$	14.5422	−	39.9542i	0.549250	−	1.50905i	−0.285477	−	0.958386i	$-0.592152\pi$
$701$	14.5422	−	39.9542i	0.549250	−	1.50905i	0.834726	−	0.550665i	$-0.185626\pi$
$702$	0.423227	+	56.0107i	0.0159737	+	2.11399i
$703$	0.907318	−	0.517551i	0.0342201	−	0.0195198i
$704$		−	22.0196i		−	0.829896i
$705$	35.1442	+	6.55122i	1.32361	+	0.246733i
$706$	18.1144	−	3.19406i	0.681745	−	0.120210i
$707$	21.2515	+	17.8321i	0.799246	+	0.670647i
$708$	−14.1007	+	11.8925i	−0.529936	+	0.446949i
$709$	−4.83616	+	27.4273i	−0.181626	+	1.03005i	0.748588	+	0.663035i	$0.230732\pi$
$709$	−4.83616	+	27.4273i	−0.181626	+	1.03005i	−0.930214	+	0.367017i	$0.880379\pi$
$710$	23.5157	+	8.88755i	0.882530	+	0.333544i
$711$	−23.1565	+	13.5254i	−0.868438	+	0.507243i
$712$	0.783176	+	2.15176i	0.0293508	+	0.0806405i
$713$	3.95907	+	10.8775i	0.148268	+	0.407364i
$714$	12.3546	+	21.2749i	0.462360	+	0.796193i
$715$	−40.5602	−	15.3293i	−1.51687	−	0.573285i
$716$	−5.11918	+	29.0323i	−0.191313	+	1.08499i
$717$	26.4309	+	31.3385i	0.987081	+	1.17036i
$718$	15.1725	+	12.7312i	0.566231	+	0.475124i
$719$	14.7232	−	2.59609i	0.549081	−	0.0968178i	0.107776	−	0.994175i	$-0.465627\pi$
$719$	14.7232	−	2.59609i	0.549081	−	0.0968178i	0.441305	+	0.897357i	$0.354516\pi$
$720$	28.8197	+	5.29720i	1.07405	+	0.197415i
$721$		−	27.1048i		−	1.00943i
$722$	23.4944	+	28.6001i	0.874372	+	1.06438i
$723$	−0.0148354	−	5.89014i	−0.000551735	−	0.219057i
$724$	2.74859	−	7.55169i	0.102151	−	0.280656i
$725$	−18.4147	−	33.7851i	−0.683907	−	1.25475i
$726$	−2.76852	+	3.31632i	−0.102749	+	0.123080i
$727$	17.9590	+	21.4027i	0.666062	+	0.793781i	0.988242	−	0.152897i	$-0.0488603\pi$
$727$	17.9590	+	21.4027i	0.666062	+	0.793781i	−0.322181	+	0.946678i	$0.604416\pi$
$728$	0.980806	−	5.56243i	0.0363511	−	0.206157i
$729$	−13.1451	+	23.5840i	−0.486856	+	0.873482i
$730$	−2.07863	−	2.53992i	−0.0769336	−	0.0940066i
$731$	5.49241	+	15.0903i	0.203144	+	0.558134i
$732$	−1.78544	+	0.654946i	−0.0659919	+	0.0242075i
$733$	10.6649	−	6.15741i	0.393919	−	0.227429i	−0.289938	−	0.957045i	$-0.593635\pi$
$733$	10.6649	−	6.15741i	0.393919	−	0.227429i	0.683857	+	0.729616i	$0.260301\pi$
$734$	−25.0023	+	43.3053i	−0.922853	+	1.59843i
$735$	0.0179361	−	1.83738i	0.000661584	−	0.0677729i
$736$	22.9564	+	27.3583i	0.846182	+	1.00844i
$737$	−33.2990	+	39.6843i	−1.22659	+	1.46179i
$738$	26.4815	−	4.80707i	0.974798	−	0.176951i
$739$	2.98136	+	1.08513i	0.109671	+	0.0399170i	0.396273	−	0.918133i	$-0.370303\pi$
$739$	2.98136	+	1.08513i	0.109671	+	0.0399170i	−0.286602	+	0.958050i	$0.592526\pi$
$740$	−0.949143	+	0.155367i	−0.0348912	+	0.00571140i
$741$	−36.2363	+	20.7910i	−1.33118	+	0.763777i
$742$		−	57.5036i		−	2.11102i
$743$	−10.0823	+	27.7008i	−0.369882	+	1.01624i	0.605524	+	0.795827i	$0.292963\pi$
$743$	−10.0823	+	27.7008i	−0.369882	+	1.01624i	−0.975406	+	0.220415i	$0.929259\pi$
$744$	−0.304624	−	1.70252i	−0.0111681	−	0.0624175i
$745$	−18.0730	+	30.4340i	−0.662142	+	1.11501i
$746$	−16.1045	−	19.1926i	−0.589627	−	0.702690i
$747$	−2.21069	+	12.9176i	−0.0808848	+	0.472630i
$748$	−15.5480	−	8.97662i	−0.568490	−	0.328218i
$749$	−3.29296	−	5.70358i	−0.120322	−	0.208404i
$750$	28.0490	+	25.2257i	1.02420	+	0.921113i
$751$	−12.3530	−	33.9396i	−0.450768	−	1.23847i	−0.932185	−	0.361982i	$-0.882100\pi$
$751$	−12.3530	−	33.9396i	−0.450768	−	1.23847i	0.481417	−	0.876491i	$-0.340122\pi$
$752$	−20.1602	−	34.9184i	−0.735166	−	1.27334i
$753$	7.69835	+	4.41883i	0.280544	+	0.161031i
$754$	−81.6945	−	14.4050i	−2.97514	−	0.524597i
$755$	−23.3819	−	20.1142i	−0.850955	−	0.732030i
$756$	−15.1759	+	18.3660i	−0.551941	+	0.667963i
$757$	−17.0273	+	3.00238i	−0.618868	+	0.109123i	−0.474288	−	0.880370i	$-0.657294\pi$
$757$	−17.0273	+	3.00238i	−0.618868	+	0.109123i	−0.144581	+	0.989493i	$0.546183\pi$
$758$	−50.6722	−	18.4432i	−1.84050	−	0.669886i
$759$	−0.0708120	−	28.1147i	−0.00257031	−	1.02050i
$760$	1.26781	+	3.68247i	0.0459882	+	0.133577i
$761$		−	24.0874i		−	0.873169i	−0.899663	−	0.436584i	$-0.856188\pi$
$761$		−	24.0874i		−	0.873169i	0.899663	−	0.436584i	$-0.143812\pi$
$762$	13.0435	−	36.1196i	0.472517	−	1.30847i
$763$	5.29718	+	30.0418i	0.191771	+	1.08759i
$764$	−8.55807	+	10.1991i	−0.309620	+	0.368991i
$765$	12.4136	−	14.5782i	0.448813	−	0.527075i
$766$	−7.32840	+	41.5614i	−0.264786	+	1.50167i
$767$	16.4166	−	28.4343i	0.592768	−	1.02670i
$768$	−16.3188	−	28.1013i	−0.588853	−	1.01402i
$769$	17.6844	−	6.43658i	0.637714	−	0.232109i	−0.00287114	−	0.999996i	$-0.500914\pi$
$769$	17.6844	−	6.43658i	0.637714	−	0.232109i	0.640586	+	0.767887i	$0.278692\pi$
$770$	−19.0809	−	34.0067i	−0.687627	−	1.22552i
$771$	−2.04275	+	1.18625i	−0.0735679	+	0.0427218i
$772$	8.21668	−	14.2317i	0.295725	−	0.512210i
$773$	4.60924	+	0.812733i	0.165783	+	0.0292320i	0.255923	−	0.966697i	$-0.417621\pi$
$773$	4.60924	+	0.812733i	0.165783	+	0.0292320i	−0.0901406	+	0.995929i	$0.528732\pi$
$774$	−25.0807	+	21.2614i	−0.901506	+	0.764225i
$775$	4.56067	−	11.6332i	0.163824	−	0.417875i
$776$	2.41422	−	0.425691i	0.0866653	−	0.0152814i
$777$	−0.360128	+	0.997251i	−0.0129195	+	0.0357762i
$778$	−33.2041			−1.19042
$779$	12.8231	+	15.4448i	0.459436	+	0.553369i
$780$	37.9456	−	6.30956i	1.35867	−	0.225919i
$781$	−6.91710	+	19.0046i	−0.247513	+	0.680037i
$782$	25.3642	−	4.47239i	0.907021	−	0.159932i
$783$	−30.8254	−	25.4711i	−1.10161	−	0.910264i
$784$	−1.58755	+	1.33211i	−0.0566982	+	0.0475754i
$785$	−51.8480	−	0.636733i	−1.85053	−	0.0227260i
$786$	15.6498	−	27.2646i	0.558210	−	0.972496i
$787$	7.97026	+	13.8049i	0.284109	+	0.492091i	0.972393	−	0.233350i	$-0.0749689\pi$
$787$	7.97026	+	13.8049i	0.284109	+	0.492091i	−0.688284	+	0.725442i	$0.741636\pi$
$788$	−2.37966	+	0.866127i	−0.0847720	+	0.0308545i
$789$	4.95722	−	1.81843i	0.176482	−	0.0647379i
$790$	24.6609	+	30.1335i	0.877394	+	1.07210i
$791$	−9.68611	+	16.7768i	−0.344398	+	0.596515i
$792$	−0.708606	+	4.14056i	−0.0251792	+	0.147129i
$793$	2.59310	−	2.17587i	0.0920838	−	0.0772674i
$794$	−5.93446	−	4.97961i	−0.210606	−	0.176720i
$795$	−42.2025	+	14.8955i	−1.49677	+	0.528290i
$796$	2.65904	+	0.967812i	0.0942472	+	0.0343032i
$797$		−	16.1919i		−	0.573548i	−0.957998	−	0.286774i	$-0.907417\pi$
$797$		−	16.1919i		−	0.573548i	0.957998	−	0.286774i	$-0.0925828\pi$
$798$	−36.9819	−	6.62374i	−1.30914	−	0.234478i
$799$	−26.3467			−0.932081
$800$	0.946732	−	38.5395i	0.0334720	−	1.36258i
$801$	3.07061	+	16.9156i	0.108495	+	0.597683i
$802$	34.9423	−	41.6426i	1.23386	−	1.47045i
$803$	2.02265	−	1.69721i	0.0713778	−	0.0598931i
$804$	7.86641	−	45.2792i	0.277427	−	1.59687i
$805$	24.7497	+	9.35391i	0.872313	+	0.329682i
$806$	−13.4693	−	23.3295i	−0.474436	−	0.821747i
$807$	16.7402	−	6.14074i	0.589284	−	0.216164i
$808$	−4.07769	+	1.48416i	−0.143453	+	0.0522125i
$809$	−12.4793	+	7.20495i	−0.438750	+	0.253313i	−0.703067	−	0.711123i	$-0.748187\pi$
$809$	−12.4793	+	7.20495i	−0.438750	+	0.253313i	0.264317	+	0.964436i	$0.414853\pi$
$810$	36.8097	+	13.4897i	1.29336	+	0.473978i
$811$	12.4664	+	2.19816i	0.437753	+	0.0771877i	0.388182	−	0.921583i	$-0.373103\pi$
$811$	12.4664	+	2.19816i	0.437753	+	0.0771877i	0.0495716	+	0.998771i	$0.484214\pi$
$812$	−22.6805	−	27.0296i	−0.795930	−	0.948552i
$813$	−6.30921	−	5.26703i	−0.221274	−	0.184723i
$814$	−0.284071	−	1.61105i	−0.00995669	−	0.0564672i
$815$	−7.85223	+	41.5424i	−0.275052	+	1.45517i
$816$	−21.5953	+	0.0543918i	−0.755987	+	0.00190409i
$817$	−23.0007	−	8.50766i	−0.804694	−	0.297645i
$818$	16.4529			0.575262
$819$	14.3030	−	39.9217i	0.499786	−	1.39498i
$820$	−6.10795	−	17.4451i	−0.213299	−	0.609209i
$821$	−13.4872	+	16.0734i	−0.470706	+	0.560965i	−0.948202	−	0.317669i	$-0.897100\pi$
$821$	−13.4872	+	16.0734i	−0.470706	+	0.560965i	0.477496	+	0.878634i	$0.341544\pi$
$822$	−7.67836	−	9.10405i	−0.267814	−	0.317540i
$823$	−30.2693	−	5.33729i	−1.05512	−	0.186046i	−0.380930	−	0.924604i	$-0.624396\pi$
$823$	−30.2693	−	5.33729i	−1.05512	−	0.186046i	−0.674190	+	0.738558i	$0.735507\pi$
$824$	3.67171	+	2.11986i	0.127910	+	0.0738490i
$825$	−20.0152	+	22.8126i	−0.696841	+	0.794234i
$826$	27.7462	−	10.0988i	0.965415	−	0.351382i
$827$	14.4840	+	39.7944i	0.503657	+	1.38379i	0.887679	+	0.460462i	$0.152316\pi$
$827$	14.4840	+	39.7944i	0.503657	+	1.38379i	−0.384023	+	0.923324i	$0.625462\pi$
$828$	12.5795	+	21.5370i	0.437168	+	0.748464i
$829$	6.00879	+	3.46918i	0.208694	+	0.120489i	0.600704	−	0.799471i	$-0.294887\pi$
$829$	6.00879	+	3.46918i	0.208694	+	0.120489i	−0.392010	+	0.919961i	$0.628220\pi$
$830$	19.0274	+	0.233672i	0.660452	+	0.00811086i
$831$	9.50319	+	11.2677i	0.329662	+	0.390872i
$832$	−26.6355	−	22.3499i	−0.923421	−	0.774842i
$833$	0.235151	+	1.33361i	0.00814749	+	0.0462067i
$834$	6.41204	−	17.7560i	0.222031	−	0.614839i
$835$	1.95073	+	11.9171i	0.0675078	+	0.412408i
$836$	25.8120	−	9.24266i	0.892726	−	0.319664i
$837$	−0.0981173	−	12.9850i	−0.00339143	−	0.448828i
$838$	−52.6865	−	19.1763i	−1.82002	−	0.662434i
$839$	4.31817	+	24.4896i	0.149080	+	0.845474i	0.964000	+	0.265901i	$0.0856695\pi$
$839$	4.31817	+	24.4896i	0.149080	+	0.845474i	−0.814920	+	0.579573i	$0.803219\pi$
$840$	−3.40417	−	2.00996i	−0.117455	−	0.0693502i
$841$	23.1511	−	19.4260i	0.798312	−	0.669864i
$842$	10.4809	−	59.4400i	0.361195	−	2.04844i
$843$	7.40643	−	12.9033i	0.255091	−	0.444412i
$844$	−10.1869	+	5.88142i	−0.350648	+	0.202447i
$845$	−34.3603	+	19.2793i	−1.18203	+	0.663226i
$846$	−18.7052	−	50.5975i	−0.643097	−	1.73958i
$847$	2.83248	−	1.63533i	0.0973252	−	0.0561907i
$848$	43.7135	+	25.2380i	1.50113	+	0.866677i
$849$	0.0756769	+	0.0131474i	0.00259723	+	0.000451219i
$850$	−23.7283	−	14.4879i	−0.813874	−	0.496931i
$851$	0.850305	+	0.713491i	0.0291481	+	0.0244581i
$852$	−3.16004	−	17.6612i	−0.108261	−	0.605064i
$853$	11.6554	−	32.0229i	0.399073	−	1.09644i	−0.563664	−	0.826004i	$-0.690609\pi$
$853$	11.6554	−	32.0229i	0.399073	−	1.09644i	0.962737	−	0.270439i	$-0.0871689\pi$
$854$	3.04419			0.104170
$855$	4.71844	+	28.8572i	0.161367	+	0.986894i
$856$	1.03017			0.0352105
$857$	4.54402	−	12.4846i	0.155221	−	0.426466i	−0.837569	−	0.546331i	$-0.816024\pi$
$857$	4.54402	−	12.4846i	0.155221	−	0.426466i	0.992790	+	0.119865i	$0.0382463\pi$
$858$	11.5238	+	64.4058i	0.393416	+	2.19878i
$859$	21.9899	+	18.4517i	0.750286	+	0.629564i	0.935578	−	0.353119i	$-0.114879\pi$
$859$	21.9899	+	18.4517i	0.750286	+	0.629564i	−0.185293	+	0.982683i	$0.559323\pi$
$860$	17.1180	+	14.7257i	0.583720	+	0.502142i
$861$	−20.0759	−	3.48781i	−0.684185	−	0.118864i
$862$	28.7195	+	16.5812i	0.978190	+	0.564758i
$863$	46.1080	−	26.6205i	1.56954	−	0.906172i	0.573313	−	0.819337i	$-0.305658\pi$
$863$	46.1080	−	26.6205i	1.56954	−	0.906172i	0.996223	−	0.0868350i	$-0.0276753\pi$
$864$	−13.9866	−	37.5428i	−0.475834	−	1.27723i
$865$	−7.09233	−	12.6402i	−0.241146	−	0.429781i
$866$	−41.4363	+	23.9233i	−1.40806	+	0.812946i
$867$	7.63337	−	13.2986i	0.259243	−	0.451645i
$868$	1.98971	−	11.2842i	0.0675350	−	0.383010i
$869$	−23.9967	+	20.1356i	−0.814032	+	0.683054i
$870$	−29.5200	+	49.9966i	−1.00082	+	1.69504i
$871$	14.2047	+	80.5588i	0.481308	+	2.72963i
$872$	−4.48386	−	1.63199i	−0.151843	−	0.0552663i
$873$	18.4051	−	0.0927141i	0.622919	−	0.00313790i
$874$	−19.8433	+	33.9594i	−0.671209	+	1.14869i
$875$	−13.3595	−	25.2432i	−0.451633	−	0.853376i
$876$	−0.795597	+	2.20313i	−0.0268807	+	0.0744370i
$877$	−4.59423	−	26.0552i	−0.155136	−	0.879820i	−0.958661	−	0.284550i	$-0.908156\pi$
$877$	−4.59423	−	26.0552i	−0.155136	−	0.879820i	0.803525	−	0.595271i	$-0.202955\pi$
$878$	−46.2142	−	38.7783i	−1.55965	−	1.30870i
$879$	−23.8817	−	28.3160i	−0.805510	−	0.955074i
$880$	34.2260	+	0.420322i	1.15376	+	0.0141690i
$881$	−15.5636	−	8.98563i	−0.524350	−	0.302734i	0.214363	−	0.976754i	$-0.431233\pi$
$881$	−15.5636	−	8.98563i	−0.524350	−	0.302734i	−0.738713	+	0.674021i	$0.764566\pi$
$882$	−2.39417	+	1.39840i	−0.0806160	+	0.0470867i
$883$	−0.189089	−	0.519518i	−0.00636335	−	0.0174832i	0.936470	−	0.350747i	$-0.114072\pi$
$883$	−0.189089	−	0.519518i	−0.00636335	−	0.0174832i	−0.942834	+	0.333264i	$0.891850\pi$
$884$	−26.6395	+	9.69598i	−0.895983	+	0.326111i
$885$	−14.5989	−	17.7473i	−0.490737	−	0.596568i
$886$	6.67117	+	3.85160i	0.224122	+	0.129397i
$887$	−8.22180	−	1.44973i	−0.276061	−	0.0486770i	0.0339036	−	0.999425i	$-0.489206\pi$
$887$	−8.22180	−	1.44973i	−0.276061	−	0.0486770i	−0.309965	+	0.950748i	$0.600317\pi$
$888$	−0.106926	−	0.126779i	−0.00358819	−	0.00425443i
$889$	−18.6886	+	22.2722i	−0.626796	+	0.746987i
$890$	23.5603	−	8.24903i	0.789742	−	0.276508i
$891$	−10.4878	+	29.7441i	−0.351356	+	0.996466i
$892$	28.1994			0.944184
$893$	26.0228	−	30.6864i	0.870821	−	1.02688i
$894$	53.4103	−	0.134524i	1.78631	−	0.00449914i
$895$	−36.0875	−	6.82115i	−1.20627	−	0.228006i
$896$	1.41052	+	7.99948i	0.0471223	+	0.267244i
$897$	−34.0801	−	28.4506i	−1.13790	−	0.949939i
$898$	−47.4636	−	56.5650i	−1.58388	−	1.88760i
$899$	18.9393	+	3.33952i	0.631662	+	0.111379i
$900$	5.19188	−	26.4179i	0.173063	−	0.880597i
$901$	28.5640	−	16.4914i	0.951604	−	0.549409i
$902$	29.5429	−	10.7527i	0.983670	−	0.358027i
$903$	23.3704	−	8.57284i	0.777717	−	0.285286i
$904$	−1.51510	−	2.62423i	−0.0503915	−	0.0872806i
$905$	9.36515	+	3.53947i	0.311308	+	0.117656i
$906$	−7.96623	+	45.8538i	−0.264660	+	1.52339i
$907$	−32.8273	+	27.5454i	−1.09001	+	0.914629i	−0.996713	−	0.0810093i	$-0.974186\pi$
$907$	−32.8273	+	27.5454i	−1.09001	+	0.914629i	−0.0932989	+	0.995638i	$0.529741\pi$
$908$	−19.5170	+	23.2595i	−0.647696	+	0.771894i
$909$	−32.0559	+	5.81897i	−1.06323	+	0.193003i
$910$	−60.5025	−	11.4360i	−2.00564	−	0.379100i
$911$	−28.5862			−0.947105			−0.473552	−	0.880766i	$-0.657029\pi$
$911$	−28.5862			−0.947105			−0.473552	+	0.880766i	$0.657029\pi$
$912$	21.2664	−	25.2061i	0.704202	−	0.834656i
$913$			15.3086i			0.506639i
$914$	59.9077	+	21.8046i	1.98157	+	0.721233i
$915$	−0.788557	−	2.23416i	−0.0260689	−	0.0738590i
$916$	−19.8897	−	16.6894i	−0.657174	−	0.551435i
$917$	−18.2323	+	15.2987i	−0.602085	+	0.505209i
$918$	−28.4905	−	4.80196i	−0.940326	−	0.158488i
$919$	3.56382	−	6.17271i	0.117559	−	0.203619i	−0.801241	−	0.598342i	$-0.795826\pi$
$919$	3.56382	−	6.17271i	0.117559	−	0.203619i	0.918800	+	0.394723i	$0.129160\pi$
$920$	−3.20279	+	2.62112i	−0.105593	+	0.0864157i
$921$	9.14337	−	3.35402i	0.301284	−	0.110519i
$922$	−35.0324	+	12.7508i	−1.15373	+	0.419924i
$923$	15.9676	+	27.6567i	0.525580	+	0.910331i
$924$	−13.8542	+	24.1363i	−0.455769	+	0.794027i
$925$	−0.179021	−	1.18473i	−0.00588619	−	0.0389537i
$926$	16.8057	−	14.1016i	0.552268	−	0.463408i
$927$	24.4872	+	20.3378i	0.804264	+	0.667982i
$928$	58.4330	−	10.3033i	1.91816	−	0.338223i
$929$	18.3319	−	50.3666i	0.601451	−	1.65247i	−0.146884	−	0.989154i	$-0.546924\pi$
$929$	18.3319	−	50.3666i	0.601451	−	1.65247i	0.748335	−	0.663320i	$-0.230853\pi$
$930$	−18.5993	+	3.09267i	−0.609894	+	0.101413i
$931$	−1.78553	−	1.04333i	−0.0585183	−	0.0341937i
$932$	−51.9501			−1.70168
$933$	9.12732	−	25.2750i	0.298815	−	0.827466i
$934$	−31.5315	+	5.55986i	−1.03174	+	0.181924i
$935$	11.4201	−	19.2309i	0.373477	−	0.628917i
$936$	4.28930	+	5.05981i	0.140200	+	0.165385i
$937$	7.79147	+	1.37385i	0.254536	+	0.0448816i	0.299460	−	0.954109i	$-0.403193\pi$
$937$	7.79147	+	1.37385i	0.254536	+	0.0448816i	−0.0449239	+	0.998990i	$0.514305\pi$
$938$	−36.7822	+	63.7086i	−1.20098	+	2.08016i
$939$	9.21165	−	5.34933i	0.300611	−	0.174569i
$940$	−32.3082	+	18.1279i	−1.05378	+	0.591265i
$941$	−27.1792	+	9.89241i	−0.886016	+	0.322483i	−0.744635	−	0.667472i	$-0.767376\pi$
$941$	−27.1792	+	9.89241i	−0.886016	+	0.322483i	−0.141381	+	0.989955i	$0.545154\pi$
$942$	39.2915	+	67.6607i	1.28019	+	2.20450i
$943$	−10.6660	+	18.4740i	−0.347332	+	0.601597i
$944$	−4.50069	+	25.5247i	−0.146485	+	0.830757i
$945$	−22.6465	−	19.1857i	−0.736689	−	0.624110i
$946$	−24.6878	+	29.4217i	−0.802669	+	0.956583i
$947$	−8.10253	−	45.9518i	−0.263297	−	1.49323i	−0.773841	−	0.633380i	$-0.781667\pi$
$947$	−8.10253	−	45.9518i	−0.263297	−	1.49323i	0.510544	−	0.859852i	$-0.329444\pi$
$948$	9.43895	−	26.1379i	0.306563	−	0.848921i
$949$		−	4.16931i		−	0.135342i
$950$	40.3108	−	13.3269i	1.30786	−	0.432381i
$951$	−0.138851	−	55.1282i	−0.00450254	−	1.78765i
$952$	2.73778	+	0.996469i	0.0887318	+	0.0322957i
$953$	−50.6942	+	8.93875i	−1.64215	+	0.289555i	−0.916954	−	0.398992i	$-0.869360\pi$
$953$	−50.6942	+	8.93875i	−1.64215	+	0.289555i	−0.725192	+	0.688547i	$0.758249\pi$
$954$	51.9502	+	43.1473i	1.68195	+	1.39695i
$955$	−12.5742	−	10.8169i	−0.406891	−	0.350026i
$956$	−41.8381	−	7.37718i	−1.35314	−	0.238595i
$957$	−40.5104	−	23.2528i	−1.30951	−	0.751657i
$958$	38.5581	+	66.7847i	1.24576	+	2.15771i
$959$	3.08391	+	8.47298i	0.0995847	+	0.273607i
$960$	−21.1934	+	11.9617i	−0.684015	+	0.386063i
$961$	−12.3774	−	21.4383i	−0.399271	−	0.691557i
$962$	−2.23710	−	1.29159i	−0.0721269	−	0.0416425i
$963$	7.62361	+	1.30469i	0.245667	+	0.0420429i
$964$	3.92347	+	4.67581i	0.126366	+	0.150598i
$965$	17.6029	+	10.4533i	0.566656	+	0.336504i
$966$	−7.03179	−	39.3002i	−0.226244	−	1.26446i
$967$	−0.937274	+	2.57514i	−0.0301407	+	0.0828109i	−0.953850	−	0.300283i	$-0.902919\pi$
$967$	−0.937274	+	2.57514i	−0.0301407	+	0.0828109i	0.923710	+	0.383093i	$0.125141\pi$
$968$			0.511598i			0.0164434i
$969$	−7.31578	−	20.2698i	−0.235017	−	0.651159i
$970$	−4.31710	−	26.3734i	−0.138614	−	0.846798i
$971$	−1.18548	−	0.431479i	−0.0380438	−	0.0138468i	0.322928	−	0.946423i	$-0.395333\pi$
$971$	−1.18548	−	0.431479i	−0.0380438	−	0.0138468i	−0.360972	+	0.932577i	$0.617555\pi$
$972$	−5.20519	−	27.4910i	−0.166957	−	0.881775i
$973$	−9.18710	+	10.9488i	−0.294525	+	0.351001i
$974$	24.1389	+	28.7676i	0.773461	+	0.921775i
$975$	7.27937	+	47.3657i	0.233126	+	1.51692i
$976$	−1.33608	+	2.31416i	−0.0427668	+	0.0740743i
$977$	37.6775	−	21.7531i	1.20541	−	0.695944i	0.243658	−	0.969861i	$-0.421653\pi$
$977$	37.6775	−	21.7531i	1.20541	−	0.695944i	0.961753	+	0.273917i	$0.0883194\pi$
$978$	59.8929	−	21.9702i	1.91516	−	0.702531i
$979$	6.86852	+	18.8711i	0.219519	+	0.603123i
$980$	1.20594	+	1.47357i	0.0385225	+	0.0470713i
$981$	−31.1152	−	17.7560i	−0.993432	−	0.566905i
$982$	−3.43962	+	19.5070i	−0.109763	+	0.622495i
$983$	26.2034	+	31.2280i	0.835760	+	0.996020i	0.999954	+	0.00959199i	$0.00305327\pi$
$983$	26.2034	+	31.2280i	0.835760	+	0.996020i	−0.164194	+	0.986428i	$0.552502\pi$
$984$	2.04261	−	2.44677i	0.0651159	−	0.0780003i
$985$	−1.04254	−	2.97762i	−0.0332180	−	0.0948747i
$986$	14.6350	−	40.2093i	0.466073	−	1.28052i
$987$	0.102865	+	40.8408i	0.00327423	+	1.29998i
$988$	15.0189	−	40.6041i	0.477816	−	1.29179i
$989$		−	26.0602i		−	0.828667i
$990$	45.0397	+	8.27851i	1.43146	+	0.263108i
$991$	−13.0199	+	2.29576i	−0.413592	+	0.0729274i	−0.376572	−	0.926387i	$-0.622897\pi$
$991$	−13.0199	+	2.29576i	−0.413592	+	0.0729274i	−0.0370192	+	0.999315i	$0.511786\pi$
$992$	14.7603	+	12.3853i	0.468639	+	0.393235i
$993$	−11.4784	−	13.6097i	−0.364257	−	0.431891i
$994$	−4.98707	+	28.2831i	−0.158180	+	0.897085i
$995$	−1.24629	+	3.29758i	−0.0395100	+	0.104540i
$996$	−6.82000	−	11.7442i	−0.216100	−	0.372129i
$997$	7.86398	+	21.6061i	0.249055	+	0.684273i	0.999722	+	0.0235916i	$0.00751015\pi$
$997$	7.86398	+	21.6061i	0.249055	+	0.684273i	−0.750667	+	0.660681i	$0.770268\pi$
$998$	−5.30294	−	14.5697i	−0.167862	−	0.461196i
$999$	−0.630723	−	1.07363i	−0.0199552	−	0.0339681i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	285.2.bf.c.224.8	yes	192
3.2	odd	2	inner	285.2.bf.c.224.26	yes	192
5.4	even	2	inner	285.2.bf.c.224.25	yes	192
15.14	odd	2	inner	285.2.bf.c.224.7	yes	192
19.14	odd	18	inner	285.2.bf.c.14.7	✓	192
57.14	even	18	inner	285.2.bf.c.14.25	yes	192
95.14	odd	18	inner	285.2.bf.c.14.26	yes	192
285.14	even	18	inner	285.2.bf.c.14.8	yes	192

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
285.2.bf.c.14.7	✓	192	19.14	odd	18	inner
285.2.bf.c.14.8	yes	192	285.14	even	18	inner
285.2.bf.c.14.25	yes	192	57.14	even	18	inner
285.2.bf.c.14.26	yes	192	95.14	odd	18	inner
285.2.bf.c.224.7	yes	192	15.14	odd	2	inner
285.2.bf.c.224.8	yes	192	1.1	even	1	trivial
285.2.bf.c.224.25	yes	192	5.4	even	2	inner
285.2.bf.c.224.26	yes	192	3.2	odd	2	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 285 = 3 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	285.bf (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.666271 + 1.83056i) q^{2} +(0.305063 + 1.70497i) q^{3} +(-1.37496 - 1.15373i) q^{4} +(1.45824 - 1.69515i) q^{5} +(-3.32432 - 0.577538i) q^{6} +(2.21228 + 1.27726i) q^{7} +(-0.346045 + 0.199789i) q^{8} +(-2.81387 + 1.04025i) q^{9} +O(q^{10})\)	\(q+(-0.666271 + 1.83056i) q^{2} +(0.305063 + 1.70497i) q^{3} +(-1.37496 - 1.15373i) q^{4} +(1.45824 - 1.69515i) q^{5} +(-3.32432 - 0.577538i) q^{6} +(2.21228 + 1.27726i) q^{7} +(-0.346045 + 0.199789i) q^{8} +(-2.81387 + 1.04025i) q^{9} +(2.13149 + 3.79884i) q^{10} +(-3.03484 + 1.75217i) q^{11} +(1.54763 - 2.69623i) q^{12} +(-0.960888 + 5.44947i) q^{13} +(-3.81208 + 3.19872i) q^{14} +(3.33504 + 1.96914i) q^{15} +(-0.758523 - 4.30180i) q^{16} +(-2.68218 - 0.976232i) q^{17} +(-0.0294389 - 5.84406i) q^{18} +(3.78623 - 2.15974i) q^{19} +(-3.96077 + 0.648345i) q^{20} +(-1.50281 + 4.16152i) q^{21} +(-1.18543 - 6.72289i) q^{22} +(3.54832 + 2.97739i) q^{23} +(-0.446200 - 0.529049i) q^{24} +(-0.747055 - 4.94388i) q^{25} +(-9.33539 - 5.38979i) q^{26} +(-2.63200 - 4.48024i) q^{27} +(-1.56818 - 4.30855i) q^{28} +(7.23146 - 2.63203i) q^{29} +(-5.82668 + 4.79302i) q^{30} +(2.16423 + 1.24952i) q^{31} +(7.59309 + 1.33887i) q^{32} +(-3.91321 - 4.63980i) q^{33} +(3.57411 - 4.25946i) q^{34} +(5.39118 - 1.88759i) q^{35} +(5.06913 + 1.81615i) q^{36} +0.239636 q^{37} +(1.43088 + 8.36991i) q^{38} +(-9.58433 + 0.0241399i) q^{39} +(-0.165945 + 0.877938i) q^{40} +(0.799710 + 4.53538i) q^{41} +(-6.61665 - 5.52369i) q^{42} +(-3.61641 - 4.30987i) q^{43} +(6.19431 + 1.09222i) q^{44} +(-2.33994 + 6.28687i) q^{45} +(-7.81445 + 4.51167i) q^{46} +(8.67384 - 3.15702i) q^{47} +(7.10306 - 2.60558i) q^{48} +(-0.237216 - 0.410871i) q^{49} +(9.54782 + 1.92643i) q^{50} +(0.846219 - 4.87085i) q^{51} +(7.60839 - 6.38419i) q^{52} +(-7.42770 + 8.85198i) q^{53} +(9.95500 - 1.83300i) q^{54} +(-1.45535 + 7.69959i) q^{55} -1.02073 q^{56} +(4.83733 + 5.79657i) q^{57} +14.9913i q^{58} +(-5.57565 - 2.02937i) q^{59} +(-2.31369 - 6.55522i) q^{60} +(-0.468616 - 0.393216i) q^{61} +(-3.72929 + 3.12925i) q^{62} +(-7.55374 - 1.29273i) q^{63} +(-3.14177 + 5.44171i) q^{64} +(7.83644 + 9.57549i) q^{65} +(11.1007 - 4.07202i) q^{66} +(13.8914 - 5.05604i) q^{67} +(2.56158 + 4.43678i) q^{68} +(-3.99392 + 6.95808i) q^{69} +(-0.136643 + 11.1266i) q^{70} +(4.42101 - 3.70966i) q^{71} +(0.765896 - 0.922153i) q^{72} +(-0.742016 + 0.130837i) q^{73} +(-0.159663 + 0.438669i) q^{74} +(8.20128 - 2.78190i) q^{75} +(-7.69766 - 1.39873i) q^{76} -8.95188 q^{77} +(6.34157 - 17.5608i) q^{78} +(8.80326 - 1.55225i) q^{79} +(-8.39830 - 4.98726i) q^{80} +(6.83577 - 5.85425i) q^{81} +(-8.83513 - 1.55787i) q^{82} +(2.18423 - 3.78320i) q^{83} +(6.86757 - 3.98809i) q^{84} +(-5.56612 + 3.12310i) q^{85} +(10.2990 - 3.74853i) q^{86} +(6.69360 + 11.5265i) q^{87} +(0.700127 - 1.21266i) q^{88} +(0.995122 - 5.64362i) q^{89} +(-9.94948 - 8.47216i) q^{90} +(-9.08613 + 10.8284i) q^{91} +(-1.44369 - 8.18759i) q^{92} +(-1.47017 + 4.07114i) q^{93} +17.9815i q^{94} +(1.86017 - 9.56764i) q^{95} +(0.0336357 + 13.3545i) q^{96} +(-5.76513 - 2.09834i) q^{97} +(0.910176 - 0.160489i) q^{98} +(6.71697 - 8.08736i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 192 q - 12 q^{4} - 30 q^{6} - 12 q^{9}+O(q^{10}) \) 192 * q - 12 * q^4 - 30 * q^6 - 12 * q^9	\( 192 q - 12 q^{4} - 30 q^{6} - 12 q^{9} + 18 q^{10} + 15 q^{15} - 36 q^{16} - 48 q^{19} - 30 q^{21} - 156 q^{24} - 12 q^{25} - 24 q^{30} - 36 q^{31} + 24 q^{34} - 6 q^{36} - 6 q^{40} - 30 q^{45} + 36 q^{46} + 60 q^{49} + 24 q^{51} - 6 q^{54} - 90 q^{55} + 90 q^{60} + 12 q^{61} - 60 q^{64} + 108 q^{66} + 90 q^{69} - 18 q^{70} - 132 q^{76} - 120 q^{79} + 36 q^{81} + 198 q^{84} - 66 q^{85} - 114 q^{90} - 72 q^{91} + 144 q^{96} + 78 q^{99}+O(q^{100}) \) 192 * q - 12 * q^4 - 30 * q^6 - 12 * q^9 + 18 * q^10 + 15 * q^15 - 36 * q^16 - 48 * q^19 - 30 * q^21 - 156 * q^24 - 12 * q^25 - 24 * q^30 - 36 * q^31 + 24 * q^34 - 6 * q^36 - 6 * q^40 - 30 * q^45 + 36 * q^46 + 60 * q^49 + 24 * q^51 - 6 * q^54 - 90 * q^55 + 90 * q^60 + 12 * q^61 - 60 * q^64 + 108 * q^66 + 90 * q^69 - 18 * q^70 - 132 * q^76 - 120 * q^79 + 36 * q^81 + 198 * q^84 - 66 * q^85 - 114 * q^90 - 72 * q^91 + 144 * q^96 + 78 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

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