LMFDB - Embedded newform 315.2.cb.a.13.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [315,2,Mod(13,315)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(315, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([4, 9, 6]))

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

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

chi := DirichletCharacter("315.13");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 315 = 3^{2} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	315.cb (of order $12$, degree $4$, 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:	$2.51528766367$
Analytic rank:	$0$
Dimension:	$176$
Relative dimension:	$44$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			13.10
Character	$\chi$	$=$	315.13
Dual form			315.2.cb.a.97.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.73908 - 0.465984i) q^{2} +(1.63791 + 0.563241i) q^{3} +(1.07519 + 0.620762i) q^{4} +(2.23593 - 0.0247189i) q^{5} +(-2.58599 - 1.74276i) q^{6} +(0.0838463 - 2.64442i) q^{7} +(0.965609 + 0.965609i) q^{8} +(2.36552 + 1.84508i) q^{9} +O(q^{10})$	\(q+(-1.73908 - 0.465984i) q^{2} +(1.63791 + 0.563241i) q^{3} +(1.07519 + 0.620762i) q^{4} +(2.23593 - 0.0247189i) q^{5} +(-2.58599 - 1.74276i) q^{6} +(0.0838463 - 2.64442i) q^{7} +(0.965609 + 0.965609i) q^{8} +(2.36552 + 1.84508i) q^{9} +(-3.89997 - 0.998920i) q^{10} +(-0.941623 - 1.63094i) q^{11} +(1.41143 + 1.62235i) q^{12} +(-0.604322 - 2.25536i) q^{13} +(-1.37807 + 4.55978i) q^{14} +(3.67618 + 1.21888i) q^{15} +(-2.47083 - 4.27961i) q^{16} +(4.80500 + 4.80500i) q^{17} +(-3.25404 - 4.31103i) q^{18} -4.78276 q^{19} +(2.41940 + 1.36140i) q^{20} +(1.62678 - 4.28411i) q^{21} +(0.877563 + 3.27511i) q^{22} +(-1.17709 + 0.315401i) q^{23} +(1.03771 + 2.12545i) q^{24} +(4.99878 - 0.110540i) q^{25} +4.20385i q^{26} +(2.83529 + 4.35444i) q^{27} +(1.73171 - 2.79121i) q^{28} +(3.04168 - 1.75611i) q^{29} +(-5.82518 - 3.83277i) q^{30} +(2.07363 + 1.19721i) q^{31} +(1.59586 + 5.95584i) q^{32} +(-0.623685 - 3.20170i) q^{33} +(-6.11721 - 10.5953i) q^{34} +(0.122107 - 5.91482i) q^{35} +(1.39803 + 3.45224i) q^{36} +(6.27745 - 6.27745i) q^{37} +(8.31758 + 2.22869i) q^{38} +(0.280485 - 4.03446i) q^{39} +(2.18290 + 2.13517i) q^{40} +(-8.25634 - 4.76680i) q^{41} +(-4.82542 + 6.69233i) q^{42} +(0.808038 - 3.01564i) q^{43} -2.33810i q^{44} +(5.33475 + 4.06700i) q^{45} +2.19402 q^{46} +(-0.988021 + 3.68735i) q^{47} +(-1.63656 - 8.40130i) q^{48} +(-6.98594 - 0.443450i) q^{49} +(-8.74476 - 2.13711i) q^{50} +(5.16380 + 10.5766i) q^{51} +(0.750280 - 2.80008i) q^{52} +(9.33895 + 9.33895i) q^{53} +(-2.90168 - 8.89390i) q^{54} +(-2.14572 - 3.62339i) q^{55} +(2.63444 - 2.47252i) q^{56} +(-7.83374 - 2.69385i) q^{57} +(-6.10803 + 1.63664i) q^{58} +(-1.04478 + 1.80961i) q^{59} +(3.19597 + 3.59257i) q^{60} +(-0.501302 + 0.289427i) q^{61} +(-3.04832 - 3.04832i) q^{62} +(5.07751 - 6.10073i) q^{63} -1.21796i q^{64} +(-1.40697 - 5.02789i) q^{65} +(-0.407304 + 5.85862i) q^{66} +(1.55734 + 5.81205i) q^{67} +(2.18353 + 8.14906i) q^{68} +(-2.10562 - 0.146387i) q^{69} +(-2.96856 + 10.2294i) q^{70} -6.80320 q^{71} +(0.502540 + 4.06579i) q^{72} +(-6.00318 + 6.00318i) q^{73} +(-13.8421 + 7.99176i) q^{74} +(8.24982 + 2.63446i) q^{75} +(-5.14238 - 2.96896i) q^{76} +(-4.39184 + 2.35330i) q^{77} +(-2.36778 + 6.88554i) q^{78} +(-13.8204 + 7.97921i) q^{79} +(-5.63040 - 9.50783i) q^{80} +(2.19136 + 8.72914i) q^{81} +(12.1371 + 12.1371i) q^{82} +(-10.3282 - 2.76745i) q^{83} +(4.40851 - 3.59639i) q^{84} +(10.8624 + 10.6249i) q^{85} +(-2.81048 + 4.86789i) q^{86} +(5.97112 - 1.16316i) q^{87} +(0.665610 - 2.48409i) q^{88} -9.29108 q^{89} +(-7.38237 - 9.55872i) q^{90} +(-6.01480 + 1.40898i) q^{91} +(-1.46139 - 0.391578i) q^{92} +(2.72211 + 3.12888i) q^{93} +(3.43649 - 5.95217i) q^{94} +(-10.6939 + 0.118225i) q^{95} +(-0.740689 + 10.6540i) q^{96} +(-2.99388 + 11.1733i) q^{97} +(11.9424 + 4.02653i) q^{98} +(0.781786 - 5.59539i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 176 q - 4 q^{2} - 2 q^{7} - 32 q^{8}+O(q^{10}) $ 176 * q - 4 * q^2 - 2 * q^7 - 32 * q^8	$ 176 q - 4 q^{2} - 2 q^{7} - 32 q^{8} - 12 q^{11} - 20 q^{15} + 56 q^{16} - 8 q^{18} + 12 q^{22} - 12 q^{23} - 4 q^{25} - 32 q^{28} - 56 q^{30} + 48 q^{32} - 8 q^{35} - 80 q^{36} - 16 q^{37} + 38 q^{42} - 4 q^{43} - 80 q^{46} - 76 q^{50} - 28 q^{51} + 64 q^{53} - 52 q^{56} - 112 q^{57} - 44 q^{58} - 40 q^{60} + 24 q^{63} + 20 q^{65} - 4 q^{67} + 18 q^{70} - 64 q^{71} - 20 q^{72} + 26 q^{77} + 76 q^{78} - 64 q^{81} - 4 q^{85} + 80 q^{86} - 60 q^{88} - 16 q^{91} - 68 q^{92} + 88 q^{93} + 40 q^{95} - 120 q^{98}+O(q^{100}) $ 176 * q - 4 * q^2 - 2 * q^7 - 32 * q^8 - 12 * q^11 - 20 * q^15 + 56 * q^16 - 8 * q^18 + 12 * q^22 - 12 * q^23 - 4 * q^25 - 32 * q^28 - 56 * q^30 + 48 * q^32 - 8 * q^35 - 80 * q^36 - 16 * q^37 + 38 * q^42 - 4 * q^43 - 80 * q^46 - 76 * q^50 - 28 * q^51 + 64 * q^53 - 52 * q^56 - 112 * q^57 - 44 * q^58 - 40 * q^60 + 24 * q^63 + 20 * q^65 - 4 * q^67 + 18 * q^70 - 64 * q^71 - 20 * q^72 + 26 * q^77 + 76 * q^78 - 64 * q^81 - 4 * q^85 + 80 * q^86 - 60 * q^88 - 16 * q^91 - 68 * q^92 + 88 * q^93 + 40 * q^95 - 120 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/315\mathbb{Z}\right)^\times$.

$n$	$127$	$136$	$281$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$-1$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−1.73908	−	0.465984i	−1.22971	−	0.329500i	−0.415245	−	0.909710i	$-0.636304\pi$
$2$	−1.73908	−	0.465984i	−1.22971	−	0.329500i	−0.814467	+	0.580209i	$0.802971\pi$
$3$	1.63791	+	0.563241i	0.945650	+	0.325187i
$3$	1.63791	+	0.563241i	0.945650	+	0.325187i
$4$	1.07519	+	0.620762i	0.537596	+	0.310381i
$5$	2.23593	−	0.0247189i	0.999939	−	0.0110546i
$5$	2.23593	−	0.0247189i	0.999939	−	0.0110546i
$6$	−2.58599	−	1.74276i	−1.05573	−	0.711479i
$7$	0.0838463	−	2.64442i	0.0316909	−	0.999498i
$7$	0.0838463	−	2.64442i	0.0316909	−	0.999498i
$8$	0.965609	+	0.965609i	0.341394	+	0.341394i
$9$	2.36552	+	1.84508i	0.788506	+	0.615027i
$10$	−3.89997	−	0.998920i	−1.23328	−	0.315886i
$11$	−0.941623	−	1.63094i	−0.283910	−	0.491747i	0.688434	−	0.725299i	$-0.258298\pi$
$11$	−0.941623	−	1.63094i	−0.283910	−	0.491747i	−0.972344	+	0.233552i	$0.924965\pi$
$12$	1.41143	+	1.62235i	0.407445	+	0.468331i
$13$	−0.604322	−	2.25536i	−0.167609	−	0.625524i	−0.997693	−	0.0678865i	$-0.978374\pi$
$13$	−0.604322	−	2.25536i	−0.167609	−	0.625524i	0.830084	−	0.557638i	$-0.188292\pi$
$14$	−1.37807	+	4.55978i	−0.368306	+	1.21865i
$15$	3.67618	+	1.21888i	0.949187	+	0.314714i
$16$	−2.47083	−	4.27961i	−0.617708	−	1.06990i
$17$	4.80500	+	4.80500i	1.16538	+	1.16538i	0.983279	+	0.182105i	$0.0582912\pi$
$17$	4.80500	+	4.80500i	1.16538	+	1.16538i	0.182105	+	0.983279i	$0.441709\pi$
$18$	−3.25404	−	4.31103i	−0.766984	−	1.01612i
$19$	−4.78276			−1.09724			−0.548620	−	0.836072i	$-0.684847\pi$
$19$	−4.78276			−1.09724			−0.548620	+	0.836072i	$0.684847\pi$
$20$	2.41940	+	1.36140i	0.540994	+	0.304419i
$21$	1.62678	−	4.28411i	0.354993	−	0.934869i
$22$	0.877563	+	3.27511i	0.187097	+	0.698255i
$23$	−1.17709	+	0.315401i	−0.245441	+	0.0657656i	−0.379442	−	0.925216i	$-0.623884\pi$
$23$	−1.17709	+	0.315401i	−0.245441	+	0.0657656i	0.134001	+	0.990981i	$0.457217\pi$
$24$	1.03771	+	2.12545i	0.211822	+	0.433857i
$25$	4.99878	−	0.110540i	0.999756	−	0.0221079i
$26$			4.20385i			0.824442i
$27$	2.83529	+	4.35444i	0.545652	+	0.838012i
$28$	1.73171	−	2.79121i	0.327262	−	0.527490i
$29$	3.04168	−	1.75611i	0.564825	−	0.326102i	−0.190255	−	0.981735i	$-0.560931\pi$
$29$	3.04168	−	1.75611i	0.564825	−	0.326102i	0.755080	+	0.655633i	$0.227598\pi$
$30$	−5.82518	−	3.83277i	−1.06353	−	0.699765i
$31$	2.07363	+	1.19721i	0.372435	+	0.215026i	0.674522	−	0.738255i	$-0.264350\pi$
$31$	2.07363	+	1.19721i	0.372435	+	0.215026i	−0.302087	+	0.953280i	$0.597683\pi$
$32$	1.59586	+	5.95584i	0.282111	+	1.05285i
$33$	−0.623685	−	3.20170i	−0.108570	−	0.557344i
$34$	−6.11721	−	10.5953i	−1.04909	−	1.81708i
$35$	0.122107	−	5.91482i	0.0206399	−	0.999787i
$36$	1.39803	+	3.45224i	0.233005	+	0.575373i
$37$	6.27745	−	6.27745i	1.03201	−	1.03201i	0.0325351	−	0.999471i	$-0.489642\pi$
$37$	6.27745	−	6.27745i	1.03201	−	1.03201i	0.999471	−	0.0325351i	$-0.0103581\pi$
$38$	8.31758	+	2.22869i	1.34929	+	0.361541i
$39$	0.280485	−	4.03446i	0.0449135	−	0.646031i
$40$	2.18290	+	2.13517i	0.345147	+	0.337599i
$41$	−8.25634	−	4.76680i	−1.28942	−	0.744449i	−0.310872	−	0.950452i	$-0.600621\pi$
$41$	−8.25634	−	4.76680i	−1.28942	−	0.744449i	−0.978551	+	0.206003i	$0.933954\pi$
$42$	−4.82542	+	6.69233i	−0.744578	+	1.03265i
$43$	0.808038	−	3.01564i	0.123225	−	0.459880i	−0.876546	−	0.481319i	$-0.840158\pi$
$43$	0.808038	−	3.01564i	0.123225	−	0.459880i	0.999770	+	0.0214384i	$0.00682458\pi$
$44$		−	2.33810i		−	0.352481i
$45$	5.33475	+	4.06700i	0.795257	+	0.606272i
$46$	2.19402			0.323491
$47$	−0.988021	+	3.68735i	−0.144118	+	0.537855i	0.855675	+	0.517513i	$0.173142\pi$
$47$	−0.988021	+	3.68735i	−0.144118	+	0.537855i	−0.999793	+	0.0203417i	$0.993525\pi$
$48$	−1.63656	−	8.40130i	−0.236217	−	1.21262i
$49$	−6.98594	−	0.443450i	−0.997991	−	0.0633500i
$50$	−8.74476	−	2.13711i	−1.23670	−	0.302233i
$51$	5.16380	+	10.5766i	0.723077	+	1.48101i
$52$	0.750280	−	2.80008i	0.104045	−	0.388302i
$53$	9.33895	+	9.33895i	1.28280	+	1.28280i	0.939066	+	0.343737i	$0.111693\pi$
$53$	9.33895	+	9.33895i	1.28280	+	1.28280i	0.343737	+	0.939066i	$0.388307\pi$
$54$	−2.90168	−	8.89390i	−0.394869	−	1.21031i
$55$	−2.14572	−	3.62339i	−0.289329	−	0.488578i
$56$	2.63444	−	2.47252i	0.352042	−	0.330404i
$57$	−7.83374	−	2.69385i	−1.03760	−	0.356809i
$58$	−6.10803	+	1.63664i	−0.802023	+	0.214902i
$59$	−1.04478	+	1.80961i	−0.136019	+	0.235592i	−0.925986	−	0.377557i	$-0.876764\pi$
$59$	−1.04478	+	1.80961i	−0.136019	+	0.235592i	0.789967	+	0.613149i	$0.210097\pi$
$60$	3.19597	+	3.59257i	0.412598	+	0.463798i
$61$	−0.501302	+	0.289427i	−0.0641852	+	0.0370573i	−0.531749	−	0.846902i	$-0.678465\pi$
$61$	−0.501302	+	0.289427i	−0.0641852	+	0.0370573i	0.467564	+	0.883959i	$0.345132\pi$
$62$	−3.04832	−	3.04832i	−0.387137	−	0.387137i
$63$	5.07751	−	6.10073i	0.639706	−	0.768619i
$64$		−	1.21796i		−	0.152245i
$65$	−1.40697	−	5.02789i	−0.174513	−	0.623633i
$66$	−0.407304	+	5.85862i	−0.0501357	+	0.721147i
$67$	1.55734	+	5.81205i	0.190259	+	0.710055i	0.993443	+	0.114325i	$0.0364706\pi$
$67$	1.55734	+	5.81205i	0.190259	+	0.710055i	−0.803185	+	0.595730i	$0.796863\pi$
$68$	2.18353	+	8.14906i	0.264793	+	0.988219i
$69$	−2.10562	−	0.146387i	−0.253487	−	0.0176230i
$70$	−2.96856	+	10.2294i	−0.354811	+	1.22265i
$71$	−6.80320			−0.807392			−0.403696	−	0.914893i	$-0.632275\pi$
$71$	−6.80320			−0.807392			−0.403696	+	0.914893i	$0.632275\pi$
$72$	0.502540	+	4.06579i	0.0592250	+	0.479158i
$73$	−6.00318	+	6.00318i	−0.702619	+	0.702619i	−0.964972	−	0.262353i	$-0.915502\pi$
$73$	−6.00318	+	6.00318i	−0.702619	+	0.702619i	0.262353	+	0.964972i	$0.415502\pi$
$74$	−13.8421	+	7.99176i	−1.60912	+	0.929024i
$75$	8.24982	+	2.63446i	0.952608	+	0.304202i
$76$	−5.14238	−	2.96896i	−0.589872	−	0.340563i
$77$	−4.39184	+	2.35330i	−0.500497	+	0.268184i
$78$	−2.36778	+	6.88554i	−0.268098	+	0.779633i
$79$	−13.8204	+	7.97921i	−1.55492	+	0.897732i	−0.557187	+	0.830387i	$0.688119\pi$
$79$	−13.8204	+	7.97921i	−1.55492	+	0.897732i	−0.997730	+	0.0673446i	$0.978547\pi$
$80$	−5.63040	−	9.50783i	−0.629498	−	1.06301i
$81$	2.19136	+	8.72914i	0.243484	+	0.969905i
$82$	12.1371	+	12.1371i	1.34032	+	1.34032i
$83$	−10.3282	−	2.76745i	−1.13367	−	0.303767i	−0.357268	−	0.934002i	$-0.616292\pi$
$83$	−10.3282	−	2.76745i	−1.13367	−	0.303767i	−0.776404	+	0.630235i	$0.782958\pi$
$84$	4.40851	−	3.59639i	0.481008	−	0.392399i
$85$	10.8624	+	10.6249i	1.17820	+	1.15243i
$86$	−2.81048	+	4.86789i	−0.303062	+	0.524918i
$87$	5.97112	−	1.16316i	0.640171	−	0.124704i
$88$	0.665610	−	2.48409i	0.0709543	−	0.264805i
$89$	−9.29108			−0.984852			−0.492426	−	0.870354i	$-0.663890\pi$
$89$	−9.29108			−0.984852			−0.492426	+	0.870354i	$0.663890\pi$
$90$	−7.38237	−	9.55872i	−0.778170	−	1.00758i
$91$	−6.01480	+	1.40898i	−0.630522	+	0.147701i
$92$	−1.46139	−	0.391578i	−0.152360	−	0.0408248i
$93$	2.72211	+	3.12888i	0.282270	+	0.324450i
$94$	3.43649	−	5.95217i	0.354447	−	0.613919i
$95$	−10.6939	+	0.118225i	−1.09717	+	0.0121296i
$96$	−0.740689	+	10.6540i	−0.0755963	+	1.08737i
$97$	−2.99388	+	11.1733i	−0.303982	+	1.13448i	0.629836	+	0.776728i	$0.283122\pi$
$97$	−2.99388	+	11.1733i	−0.303982	+	1.13448i	−0.933818	+	0.357748i	$0.883545\pi$
$98$	11.9424	+	4.02653i	1.20637	+	0.406741i
$99$	0.781786	−	5.59539i	0.0785725	−	0.562358i
$100$	5.44326	+	2.98420i	0.544326	+	0.298420i
$101$	−5.61728	+	3.24314i	−0.558941	+	0.322705i	−0.752720	−	0.658341i	$-0.771259\pi$
$101$	−5.61728	+	3.24314i	−0.558941	+	0.322705i	0.193780	+	0.981045i	$0.437925\pi$
$102$	−4.05174	−	20.7997i	−0.401182	−	2.05947i
$103$	−0.996777	−	3.72002i	−0.0982153	−	0.366545i	0.899272	−	0.437390i	$-0.144097\pi$
$103$	−0.996777	−	3.72002i	−0.0982153	−	0.366545i	−0.997487	+	0.0708453i	$0.977430\pi$
$104$	1.59426	−	2.76134i	0.156330	−	0.270771i
$105$	3.53147	−	9.61918i	0.344636	−	0.938736i
$106$	−11.8893	−	20.5929i	−1.15479	−	2.00016i
$107$	7.20778	−	7.20778i	0.696802	−	0.696802i	−0.266917	−	0.963719i	$-0.586005\pi$
$107$	7.20778	−	7.20778i	0.696802	−	0.696802i	0.963719	+	0.266917i	$0.0860051\pi$
$108$	0.345409	+	6.44190i	0.0332370	+	0.619872i
$109$		−	2.98406i		−	0.285821i	−0.989736	−	0.142910i	$-0.954354\pi$
$109$		−	2.98406i		−	0.285821i	0.989736	−	0.142910i	$-0.0456461\pi$
$110$	2.04313	+	7.30123i	0.194805	+	0.696144i
$111$	13.8176	−	6.74619i	1.31151	−	0.640320i
$112$	−11.5243	+	6.17510i	−1.08894	+	0.583492i
$113$	−4.29119	+	1.14982i	−0.403682	+	0.108166i	−0.454946	−	0.890519i	$-0.650341\pi$
$113$	−4.29119	+	1.14982i	−0.403682	+	0.108166i	0.0512646	+	0.998685i	$0.483675\pi$
$114$	12.3682	+	8.33520i	1.15839	+	0.780663i
$115$	−2.62410	+	0.734311i	−0.244699	+	0.0684748i
$116$	4.36052			0.404864
$117$	2.73179	−	6.45012i	0.252554	−	0.596314i
$118$	2.66020	−	2.66020i	0.244892	−	0.244892i
$119$	13.1093	−	12.3036i	1.20173	−	1.12787i
$120$	2.37279	+	4.72672i	0.216605	+	0.431488i
$121$	3.72669	−	6.45482i	0.338790	−	0.586802i
$122$	1.00667	−	0.269737i	0.0911397	−	0.0244208i
$123$	−10.8383	−	12.4579i	−0.977257	−	1.12329i
$124$	1.48637	+	2.57446i	0.133480	+	0.231194i
$125$	11.1742	−	0.370723i	0.999450	−	0.0331585i
$126$	−11.6730	+	8.24359i	−1.03991	+	0.734397i
$127$	4.97876	−	4.97876i	0.441793	−	0.441793i	−0.450821	−	0.892614i	$-0.648869\pi$
$127$	4.97876	−	4.97876i	0.441793	−	0.441793i	0.892614	+	0.450821i	$0.148869\pi$
$128$	2.62417	−	9.79354i	0.231946	−	0.865635i
$129$	3.02203	−	4.48423i	0.266075	−	0.394815i
$130$	0.103914	+	9.39951i	0.00911390	+	0.824392i
$131$	6.85015	+	3.95494i	0.598500	+	0.345544i	0.768451	−	0.639908i	$-0.221028\pi$
$131$	6.85015	+	3.95494i	0.598500	+	0.345544i	−0.169951	+	0.985453i	$0.554361\pi$
$132$	1.31691	−	3.82960i	0.114622	−	0.333324i
$133$	−0.401017	+	12.6476i	−0.0347726	+	1.09669i
$134$		−	10.8333i		−	0.935854i
$135$	6.44715	+	9.66614i	0.554882	+	0.831929i
$136$			9.27951i			0.795711i
$137$	−13.7561	−	3.68595i	−1.17527	−	0.314912i	−0.382219	−	0.924072i	$-0.624840\pi$
$137$	−13.7561	−	3.68595i	−1.17527	−	0.314912i	−0.793047	+	0.609160i	$0.791507\pi$
$138$	3.59362	+	1.23576i	0.305909	+	0.105195i
$139$	−3.61612	+	6.26330i	−0.306715	+	0.531246i	−0.977642	−	0.210278i	$-0.932563\pi$
$139$	−3.61612	+	6.26330i	−0.306715	+	0.531246i	0.670927	+	0.741524i	$0.265897\pi$
$140$	3.80298	−	6.28376i	0.321411	−	0.531075i
$141$	−3.69516	+	5.48306i	−0.311188	+	0.461757i
$142$	11.8313	+	3.17018i	0.992859	+	0.266036i
$143$	−3.10931	+	3.10931i	−0.260014	+	0.260014i
$144$	2.05142	−	14.6824i	0.170951	−	1.22353i
$145$	6.75757	−	4.00174i	0.561186	−	0.332326i
$146$	13.2374	−	7.64260i	1.09553	−	0.632506i
$147$	−11.1926	−	4.66110i	−0.923150	−	0.384441i
$148$	10.6463	−	2.85266i	0.875117	−	0.234487i
$149$	9.22151	+	5.32404i	0.755456	+	0.436163i	0.827662	−	0.561227i	$-0.189671\pi$
$149$	9.22151	+	5.32404i	0.755456	+	0.436163i	−0.0722061	+	0.997390i	$0.523004\pi$
$150$	−13.1194	−	8.42582i	−1.07120	−	0.687965i
$151$	−0.460557	−	0.797707i	−0.0374796	−	0.0649165i	0.846677	−	0.532107i	$-0.178600\pi$
$151$	−0.460557	−	0.797707i	−0.0374796	−	0.0649165i	−0.884157	+	0.467190i	$0.845266\pi$
$152$	−4.61828	−	4.61828i	−0.374592	−	0.374592i
$153$	2.50071	+	20.2319i	0.202170	+	1.63566i
$154$	8.73435	−	2.04604i	0.703834	−	0.164875i
$155$	4.66609	+	2.62562i	0.374789	+	0.210895i
$156$	2.80602	−	4.16371i	0.224661	−	0.333363i
$157$	−9.87265	+	2.64537i	−0.787923	+	0.211123i	−0.630275	−	0.776372i	$-0.717058\pi$
$157$	−9.87265	+	2.64537i	−0.787923	+	0.211123i	−0.157648	+	0.987495i	$0.550391\pi$
$158$	27.7529	−	7.43637i	2.20790	−	0.591606i
$159$	10.0363	+	20.5565i	0.795931	+	1.63023i
$160$	3.71546	+	13.2774i	0.293733	+	1.04967i
$161$	0.735358	+	3.13917i	0.0579543	+	0.247401i
$162$	0.256701	−	16.2018i	0.0201683	−	1.27293i
$163$	−14.4729	−	14.4729i	−1.13360	−	1.13360i	−0.989573	−	0.144030i	$-0.953994\pi$
$163$	−14.4729	−	14.4729i	−1.13360	−	1.13360i	−0.144030	−	0.989573i	$-0.546006\pi$
$164$	−5.91810	−	10.2504i	−0.462126	−	0.800425i
$165$	−1.47366	−	7.14336i	−0.114724	−	0.556110i
$166$	16.6720	+	9.62559i	1.29400	+	0.747091i
$167$	−9.11310	+	2.44185i	−0.705193	+	0.188956i	−0.593556	−	0.804793i	$-0.702276\pi$
$167$	−9.11310	+	2.44185i	−0.705193	+	0.188956i	−0.111638	+	0.993749i	$0.535610\pi$
$168$	5.70761	−	2.56594i	0.440351	−	0.197967i
$169$	6.53688	−	3.77407i	0.502837	−	0.290313i
$170$	−13.9396	−	23.5392i	−1.06912	−	1.80537i
$171$	−11.3137	−	8.82457i	−0.865181	−	0.674832i
$172$	2.74079	−	2.74079i	0.208983	−	0.208983i
$173$	−10.8127	−	2.89726i	−0.822077	−	0.220275i	−0.176823	−	0.984243i	$-0.556582\pi$
$173$	−10.8127	−	2.89726i	−0.822077	−	0.220275i	−0.645254	+	0.763968i	$0.723249\pi$
$174$	−10.9262	−	0.759616i	−0.828316	−	0.0575864i
$175$	0.126816	−	13.2281i	0.00958637	−	0.999954i
$176$	−4.65319	+	8.05956i	−0.350747	+	0.607512i
$177$	−2.73051	+	2.37553i	−0.205238	+	0.178556i
$178$	16.1579	+	4.32949i	1.21108	+	0.324509i
$179$			20.8710i			1.55997i	0.625796	+	0.779987i	$0.284774\pi$
$179$			20.8710i			1.55997i	−0.625796	+	0.779987i	$0.715226\pi$
$180$	3.21124	+	7.68441i	0.239351	+	0.572762i
$181$		−	15.8578i		−	1.17870i	−0.807878	−	0.589349i	$-0.799384\pi$
$181$		−	15.8578i		−	1.17870i	0.807878	−	0.589349i	$-0.200616\pi$
$182$	11.1167	+	0.352477i	0.824028	+	0.0261273i
$183$	−0.984106	+	0.191702i	−0.0727472	+	0.0141710i
$184$	−1.44116	−	0.832056i	−0.106244	−	0.0613400i
$185$	13.8808	−	14.1911i	1.02053	−	1.04335i
$186$	−3.27594	−	6.70982i	−0.240204	−	0.491988i
$187$	3.31217	−	12.3612i	0.242210	−	0.903939i
$188$	−3.35128	+	3.35128i	−0.244417	+	0.244417i
$189$	11.7527	−	7.13260i	0.854883	−	0.518820i
$190$	18.6526	+	4.77759i	1.35320	+	0.346603i
$191$	2.55760	+	4.42989i	0.185061	+	0.320536i	0.943597	−	0.331096i	$-0.107418\pi$
$191$	2.55760	+	4.42989i	0.185061	+	0.320536i	−0.758536	+	0.651631i	$0.774085\pi$
$192$	0.686007	−	1.99492i	0.0495083	−	0.143971i
$193$	11.4394	−	3.06517i	0.823425	−	0.220636i	0.177582	−	0.984106i	$-0.443173\pi$
$193$	11.4394	−	3.06517i	0.823425	−	0.220636i	0.645843	+	0.763470i	$0.276506\pi$
$194$	10.4132	−	18.0361i	0.747621	−	1.29492i
$195$	0.527417	−	9.02772i	0.0377691	−	0.646488i
$196$	−7.23595	−	4.81340i	−0.516853	−	0.343814i
$197$	−13.2148	+	13.2148i	−0.941517	+	0.941517i	−0.998382	−	0.0568652i	$-0.981889\pi$
$197$	−13.2148	+	13.2148i	−0.941517	+	0.941517i	0.0568652	+	0.998382i	$0.481889\pi$
$198$	−3.96695	+	9.36650i	−0.281919	+	0.665648i
$199$	17.2832			1.22517			0.612587	−	0.790403i	$-0.290129\pi$
$199$	17.2832			1.22517			0.612587	+	0.790403i	$0.290129\pi$
$200$	4.93360	+	4.72013i	0.348858	+	0.333763i
$201$	−0.722808	+	10.3968i	−0.0509829	+	0.733333i
$202$	11.2801	−	3.02250i	0.793667	−	0.212663i
$203$	−4.38887	−	8.19073i	−0.308038	−	0.574876i
$204$	−1.01345	+	14.5773i	−0.0709555	+	1.02062i
$205$	−18.5784	−	10.4541i	−1.29757	−	0.730149i
$206$			6.93388i			0.483106i
$207$	−3.36637	−	1.42574i	−0.233979	−	0.0990959i
$208$	−8.15888	+	8.15888i	−0.565717	+	0.565717i
$209$	4.50356	+	7.80039i	0.311518	+	0.539564i
$210$	−10.6239	+	15.0829i	−0.733117	+	1.04082i
$211$	4.71970	−	8.17476i	0.324918	−	0.562774i	−0.656578	−	0.754258i	$-0.727997\pi$
$211$	4.71970	−	8.17476i	0.324918	−	0.562774i	0.981496	+	0.191484i	$0.0613301\pi$
$212$	4.24389	+	15.8384i	0.291472	+	1.08779i
$213$	−11.1431	−	3.83184i	−0.763510	−	0.262554i
$214$	−15.8936	+	9.17616i	−1.08646	+	0.627269i
$215$	1.73217	−	6.76273i	0.118133	−	0.461215i
$216$	−1.46690	+	6.94247i	−0.0998102	+	0.472375i
$217$	3.33980	−	5.38317i	0.226720	−	0.365434i
$218$	−1.39052	+	5.18950i	−0.0941781	+	0.351477i
$219$	−13.2139	+	6.45145i	−0.892914	+	0.435949i
$220$	−0.0577952	−	5.22782i	−0.00389655	−	0.352460i
$221$	7.93325	−	13.7408i	0.533648	−	0.924305i
$222$	−27.1735	+	5.29335i	−1.82377	+	0.355266i
$223$	11.1389	+	2.98465i	0.745915	+	0.199867i	0.611705	−	0.791086i	$-0.290484\pi$
$223$	11.1389	+	2.98465i	0.745915	+	0.199867i	0.134209	+	0.990953i	$0.457150\pi$
$224$	15.8836	−	3.72076i	1.06126	−	0.248604i
$225$	12.0287	+	8.96166i	0.801911	+	0.597444i
$226$	7.99851			0.532053
$227$	−1.43687	+	5.36248i	−0.0953685	+	0.355920i	−0.997075	−	0.0764284i	$-0.975648\pi$
$227$	−1.43687	+	5.36248i	−0.0953685	+	0.355920i	0.901707	+	0.432349i	$0.142315\pi$
$228$	−6.75054	−	7.75929i	−0.447065	−	0.513872i
$229$	−10.2036	+	17.6732i	−0.674275	+	1.16788i	0.302405	+	0.953180i	$0.402210\pi$
$229$	−10.2036	+	17.6732i	−0.674275	+	1.16788i	−0.976680	+	0.214699i	$0.931123\pi$
$230$	4.90568	−	0.0542338i	0.323471	−	0.00357607i
$231$	−8.51894	+	1.38084i	−0.560505	+	0.0908524i
$232$	4.63279	+	1.24135i	0.304158	+	0.0814988i
$233$	1.88569	+	1.88569i	0.123536	+	0.123536i	0.766172	−	0.642636i	$-0.222159\pi$
$233$	1.88569	+	1.88569i	0.123536	+	0.123536i	−0.642636	+	0.766172i	$0.722159\pi$
$234$	−7.75643	+	9.94428i	−0.507054	+	0.650078i
$235$	−2.11800	+	8.26907i	−0.138163	+	0.539415i
$236$	−2.24668	+	1.29712i	−0.146246	+	0.0844354i
$237$	−27.1308	+	5.28504i	−1.76234	+	0.343300i
$238$	−28.5314	+	15.2881i	−1.84942	+	0.990981i
$239$	−16.2459	−	9.37956i	−1.05086	−	0.606713i	−0.127968	−	0.991778i	$-0.540846\pi$
$239$	−16.2459	−	9.37956i	−1.05086	−	0.606713i	−0.922889	+	0.385065i	$0.874179\pi$
$240$	−3.86690	−	18.7443i	−0.249608	−	1.20994i
$241$	−0.205974	+	0.118919i	−0.0132680	+	0.00766026i	−0.506619	−	0.862170i	$-0.669105\pi$
$241$	−0.205974	+	0.118919i	−0.0132680	+	0.00766026i	0.493351	+	0.869830i	$0.335772\pi$
$242$	−9.48884	+	9.48884i	−0.609966	+	0.609966i
$243$	−1.32736	+	15.5318i	−0.0851499	+	0.996368i
$244$	−0.718661			−0.0460076
$245$	−15.6310	−	0.818839i	−0.998631	−	0.0523137i
$246$	13.0434	+	26.7157i	0.831620	+	1.70333i
$247$	2.89033	+	10.7868i	0.183907	+	0.686351i
$248$	0.846279	+	3.15835i	0.0537387	+	0.200556i
$249$	−15.3580	−	10.3501i	−0.973276	−	0.655913i
$250$	−19.6055	−	4.56228i	−1.23996	−	0.288544i
$251$			17.7072i			1.11767i	0.829279	+	0.558835i	$0.188751\pi$
$251$			17.7072i			1.11767i	−0.829279	+	0.558835i	$0.811249\pi$
$252$	9.24640	−	3.40752i	0.582468	−	0.214654i
$253$	1.62278	+	1.62278i	0.102023	+	0.102023i
$254$	−10.9785	+	6.33842i	−0.688850	+	0.397708i
$255$	11.8073	+	23.5208i	0.739405	+	1.47293i
$256$	−10.3452	+	17.9185i	−0.646577	+	1.11990i
$257$	23.4608	−	6.28631i	1.46345	−	0.392129i	0.562767	−	0.826615i	$-0.309737\pi$
$257$	23.4608	−	6.28631i	1.46345	−	0.392129i	0.900678	+	0.434486i	$0.143070\pi$
$258$	−7.34511	+	6.39020i	−0.457287	+	0.397837i
$259$	−16.0739	−	17.1266i	−0.998782	−	1.06419i
$260$	1.60836	−	6.27934i	0.0997463	−	0.389428i
$261$	10.4353	+	1.45802i	0.645930	+	0.0902491i
$262$	−10.0700	−	10.0700i	−0.622126	−	0.622126i
$263$	−0.764958	+	2.85486i	−0.0471693	+	0.176038i	−0.985492	−	0.169723i	$-0.945713\pi$
$263$	−0.764958	+	2.85486i	−0.0471693	+	0.176038i	0.938322	+	0.345761i	$0.112379\pi$
$264$	2.48935	−	3.69382i	0.153209	−	0.227339i
$265$	21.1121	+	20.6504i	1.29691	+	1.26854i
$266$	6.59099	−	21.8083i	0.404120	−	1.33715i
$267$	−15.2180	−	5.23312i	−0.931325	−	0.320262i
$268$	−1.93347	+	7.21581i	−0.118105	+	0.440776i
$269$	4.02189			0.245219			0.122609	−	0.992455i	$-0.460874\pi$
$269$	4.02189			0.245219			0.122609	+	0.992455i	$0.460874\pi$
$270$	−6.70781	−	19.8144i	−0.408225	−	1.20587i
$271$		−	27.1057i		−	1.64655i	−0.567642	−	0.823276i	$-0.692144\pi$
$271$		−	27.1057i		−	1.64655i	0.567642	−	0.823276i	$-0.307856\pi$
$272$	8.69117	−	32.4359i	0.526980	−	1.96671i
$273$	−10.6453	−	1.08000i	−0.644283	−	0.0653643i
$274$	22.2054	+	12.8203i	1.34148	+	0.774502i
$275$	−4.88725	−	8.04862i	−0.294712	−	0.485350i
$276$	−2.17307	−	1.46448i	−0.130804	−	0.0881516i
$277$	19.7658	+	5.29622i	1.18761	+	0.318219i	0.797940	−	0.602736i	$-0.205923\pi$
$277$	19.7658	+	5.29622i	1.18761	+	0.318219i	0.389668	+	0.920955i	$0.372590\pi$
$278$	9.20730	−	9.20730i	0.552217	−	0.552217i
$279$	2.69626	+	6.65804i	0.161421	+	0.398606i
$280$	5.82931	−	5.59350i	0.348368	−	0.334275i
$281$	−2.10549	−	3.64682i	−0.125603	−	0.217551i	0.796365	−	0.604816i	$-0.206753\pi$
$281$	−2.10549	−	3.64682i	−0.125603	−	0.217551i	−0.921969	+	0.387265i	$0.873420\pi$
$282$	8.98117	−	7.81357i	0.534821	−	0.465291i
$283$	−7.89867	−	29.4783i	−0.469527	−	1.75230i	−0.641425	−	0.767185i	$-0.721657\pi$
$283$	−7.89867	−	29.4783i	−0.469527	−	1.75230i	0.171898	−	0.985115i	$-0.445010\pi$
$284$	−7.31475	−	4.22317i	−0.434050	−	0.250599i
$285$	−17.5823	−	5.82961i	−1.04149	−	0.345317i
$286$	6.85622	−	3.95844i	0.405417	−	0.234067i
$287$	−13.2977	+	21.4336i	−0.784938	+	1.26518i
$288$	−7.21396	+	17.0331i	−0.425086	+	1.00369i
$289$			29.1761i			1.71624i
$290$	−13.6167	+	3.81040i	−0.799599	+	0.223754i
$291$	−11.1970	+	16.6146i	−0.656378	+	0.973966i
$292$	−10.1811	+	2.72802i	−0.595805	+	0.159645i
$293$	5.02863	+	18.7671i	0.293776	+	1.09639i	0.942185	+	0.335093i	$0.108768\pi$
$293$	5.02863	+	18.7671i	0.293776	+	1.09639i	−0.648409	+	0.761292i	$0.724565\pi$
$294$	17.2928	+	13.3216i	1.00853	+	0.776930i
$295$	−2.29133	+	4.07200i	−0.133406	+	0.237081i
$296$	12.1231			0.704642
$297$	4.43205	−	8.72443i	0.257174	−	0.506243i
$298$	−13.5560	−	13.5560i	−0.785277	−	0.785277i
$299$	1.42268	+	2.46416i	0.0822760	+	0.142506i
$300$	7.23477	+	7.95373i	0.417699	+	0.459209i
$301$	−7.90687	−	2.38964i	−0.455744	−	0.137737i
$302$	0.429224	+	1.60189i	0.0246991	+	0.0921781i
$303$	−11.0273	+	2.14810i	−0.633501	+	0.123405i
$304$	11.8174	+	20.4683i	0.677774	+	1.17394i
$305$	−1.11372	+	0.659530i	−0.0637716	+	0.0377646i
$306$	5.07883	−	36.3502i	0.290338	−	2.07800i
$307$	12.5886	+	12.5886i	0.718472	+	0.718472i	0.968292	−	0.249820i	$-0.0803715\pi$
$307$	12.5886	+	12.5886i	0.718472	+	0.718472i	−0.249820	+	0.968292i	$0.580371\pi$
$308$	−6.18292	−	0.196041i	−0.352304	−	0.0111705i
$309$	0.462635	−	6.65450i	0.0263184	−	0.378561i
$310$	−6.89118	−	6.74048i	−0.391393	−	0.382834i
$311$	−11.2018	−	6.46736i	−0.635195	−	0.366730i	0.147566	−	0.989052i	$-0.452856\pi$
$311$	−11.2018	−	6.46736i	−0.635195	−	0.366730i	−0.782761	+	0.622322i	$0.786189\pi$
$312$	4.16655	−	3.62488i	0.235885	−	0.205218i
$313$	−0.366706	−	0.0982587i	−0.0207275	−	0.00555391i	0.248440	−	0.968647i	$-0.420082\pi$
$313$	−0.366706	−	0.0982587i	−0.0207275	−	0.00555391i	−0.269168	+	0.963093i	$0.586749\pi$
$314$	18.4020			1.03848
$315$	11.2022	−	13.7663i	0.631170	−	0.775644i
$316$	−19.8128			−1.11456
$317$	28.9218	+	7.74958i	1.62441	+	0.435260i	0.952293	−	0.305184i	$-0.0987180\pi$
$317$	28.9218	+	7.74958i	1.62441	+	0.435260i	0.672118	+	0.740444i	$0.265385\pi$
$318$	−7.87491	−	40.4260i	−0.441603	−	2.26698i
$319$	−5.72823	−	3.30720i	−0.320719	−	0.185167i
$320$	−0.0301067	−	2.72328i	−0.00168302	−	0.152236i
$321$	15.8654	−	7.74600i	0.885522	−	0.432339i
$322$	0.183961	−	5.80192i	0.0102517	−	0.323328i
$323$	−22.9812	−	22.9812i	−1.27871	−	1.27871i
$324$	−3.06259	+	10.7458i	−0.170144	+	0.596990i
$325$	−3.27018	−	11.2072i	−0.181397	−	0.621666i
$326$	18.4253	+	31.9136i	1.02048	+	1.76753i
$327$	1.68074	−	4.88763i	0.0929454	−	0.270286i
$328$	−3.36953	−	12.5753i	−0.186051	−	0.694353i
$329$	9.66806	+	2.92192i	0.533017	+	0.161090i
$330$	−0.765886	+	13.1095i	−0.0421606	+	0.721657i
$331$	0.150566	+	0.260788i	0.00827586	+	0.0143342i	0.870134	−	0.492816i	$-0.164032\pi$
$331$	0.150566	+	0.260788i	0.00827586	+	0.0143342i	−0.861858	+	0.507150i	$0.830699\pi$
$332$	−9.38692	−	9.38692i	−0.515174	−	0.515174i
$333$	26.4318	−	3.26703i	1.44845	−	0.179032i
$334$	16.9862			0.929446
$335$	3.62576	+	12.9569i	0.198097	+	0.707909i
$336$	−22.3538	+	3.62333i	−1.21950	+	0.197669i
$337$	−5.13941	−	19.1805i	−0.279961	−	1.04483i	−0.952443	−	0.304716i	$-0.901438\pi$
$337$	−5.13941	−	19.1805i	−0.279961	−	1.04483i	0.672482	−	0.740114i	$-0.265228\pi$
$338$	−13.1268	+	3.51731i	−0.714003	+	0.191317i
$339$	−7.67623	−	0.533668i	−0.416916	−	0.0289849i
$340$	5.08367	+	18.1668i	0.275701	+	0.985232i
$341$		−	4.50929i		−	0.244192i
$342$	15.5633	+	20.6186i	0.841566	+	1.11493i
$343$	−1.75841	+	18.4366i	−0.0949455	+	0.995482i
$344$	3.69218	−	2.13168i	0.199069	−	0.114932i
$345$	−4.71164	−	0.275263i	−0.253666	−	0.0148197i
$346$	17.4541	+	10.0771i	0.938337	+	0.541749i
$347$	−2.84589	−	10.6210i	−0.152775	−	0.570165i	−0.999286	−	0.0377927i	$-0.987967\pi$
$347$	−2.84589	−	10.6210i	−0.152775	−	0.570165i	0.846510	−	0.532372i	$-0.178699\pi$
$348$	7.14215	+	2.45602i	0.382859	+	0.131657i
$349$	0.939572	+	1.62739i	0.0502941	+	0.0871120i	0.890076	−	0.455811i	$-0.150651\pi$
$349$	0.939572	+	1.62739i	0.0502941	+	0.0871120i	−0.839782	+	0.542923i	$0.817317\pi$
$350$	−6.38465	+	22.9457i	−0.341274	+	1.22650i
$351$	8.10740	−	9.02608i	0.432741	−	0.481777i
$352$	8.21091	−	8.21091i	0.437643	−	0.437643i
$353$	10.8587	+	2.90957i	0.577948	+	0.154861i	0.535939	−	0.844257i	$-0.319958\pi$
$353$	10.8587	+	2.90957i	0.577948	+	0.154861i	0.0420085	+	0.999117i	$0.486624\pi$
$354$	5.85552	−	2.85885i	0.311217	−	0.151946i
$355$	−15.2115	+	0.168168i	−0.807343	+	0.00892542i
$356$	−9.98969	−	5.76755i	−0.529452	−	0.305679i
$357$	28.4018	−	12.7685i	1.50318	−	0.675779i
$358$	9.72556	−	36.2963i	0.514012	−	1.91832i
$359$		−	15.2439i		−	0.804541i	−0.915521	−	0.402271i	$-0.868221\pi$
$359$		−	15.2439i		−	0.804541i	0.915521	−	0.402271i	$-0.131779\pi$
$360$	1.22415	+	9.07841i	0.0645183	+	0.478474i
$361$	3.87479			0.203936
$362$	−7.38946	+	27.5779i	−0.388382	+	1.44946i
$363$	9.73961	−	8.47340i	0.511197	−	0.444738i
$364$	−7.34170	−	2.21884i	−0.384810	−	0.116299i
$365$	−13.2743	+	13.5711i	−0.694809	+	0.710343i
$366$	1.80077	+	0.125193i	0.0941275	+	0.00654395i
$367$	−1.17961	+	4.40236i	−0.0615751	+	0.229802i	−0.989855	−	0.142081i	$-0.954621\pi$
$367$	−1.17961	+	4.40236i	−0.0615751	+	0.229802i	0.928280	+	0.371882i	$0.121287\pi$
$368$	4.25819	+	4.25819i	0.221973	+	0.221973i
$369$	−10.7354	−	26.5096i	−0.558863	−	1.38003i
$370$	−30.7525	+	18.2112i	−1.59875	+	0.946755i
$371$	25.4792	−	23.9131i	1.32281	−	1.24151i
$372$	0.984497	+	5.05393i	0.0510438	+	0.262034i
$373$	9.14602	−	2.45067i	0.473563	−	0.126891i	−0.0141407	−	0.999900i	$-0.504501\pi$
$373$	9.14602	−	2.45067i	0.473563	−	0.126891i	0.487704	+	0.873009i	$0.337835\pi$
$374$	−11.5202	+	19.9536i	−0.595696	+	1.03178i
$375$	18.5112	+	5.68655i	0.955912	+	0.293652i
$376$	−4.51458	+	2.60649i	−0.232821	+	0.134420i
$377$	−5.79882	−	5.79882i	−0.298655	−	0.298655i
$378$	−23.7625	+	6.92756i	−1.22221	+	0.356315i
$379$		−	16.3621i		−	0.840465i	−0.907416	−	0.420233i	$-0.861948\pi$
$379$		−	16.3621i		−	0.840465i	0.907416	−	0.420233i	$-0.138052\pi$
$380$	−11.5714	−	6.51127i	−0.593601	−	0.334021i
$381$	10.9590	−	5.35053i	0.561447	−	0.274116i
$382$	−2.38360	−	8.89571i	−0.121956	−	0.455144i
$383$	0.204802	+	0.764331i	0.0104649	+	0.0390555i	0.970961	−	0.239238i	$-0.0768977\pi$
$383$	0.204802	+	0.764331i	0.0104649	+	0.0390555i	−0.960496	+	0.278294i	$0.910231\pi$
$384$	9.81429	−	14.5629i	0.500833	−	0.743161i
$385$	−9.76169	+	5.37038i	−0.497502	+	0.273700i
$386$	−21.3223			−1.08528
$387$	7.47552	−	5.64265i	0.380002	−	0.286832i
$388$	−10.1550	+	10.1550i	−0.515540	+	0.515540i
$389$	11.3052	−	6.52706i	0.573196	−	0.330935i	−0.185229	−	0.982695i	$-0.559303\pi$
$389$	11.3052	−	6.52706i	0.573196	−	0.330935i	0.758425	+	0.651761i	$0.225969\pi$
$390$	−5.12399	+	15.4541i	−0.259463	+	0.782549i
$391$	−7.17143	−	4.14043i	−0.362675	−	0.209390i
$392$	−6.31749	−	7.17389i	−0.319081	−	0.362336i
$393$	8.99237	+	10.3361i	0.453605	+	0.521389i
$394$	29.1395	−	16.8237i	1.46802	−	0.847564i
$395$	−30.7042	+	18.1826i	−1.54490	+	0.914866i
$396$	4.31398	−	5.53081i	0.216785	−	0.277934i
$397$	8.98110	+	8.98110i	0.450748	+	0.450748i	0.895603	−	0.444854i	$-0.146745\pi$
$397$	8.98110	+	8.98110i	0.450748	+	0.450748i	−0.444854	+	0.895603i	$0.646745\pi$
$398$	−30.0568	−	8.05369i	−1.50661	−	0.403695i
$399$	−7.78050	+	20.4899i	−0.389512	+	1.02578i
$400$	−12.8242	−	21.1197i	−0.641211	−	1.05598i
$401$	17.8246	−	30.8732i	0.890120	−	1.54173i	0.0503905	−	0.998730i	$-0.483953\pi$
$401$	17.8246	−	30.8732i	0.890120	−	1.54173i	0.839730	−	0.543004i	$-0.182713\pi$
$402$	6.10176	−	17.7440i	0.304328	−	0.884990i
$403$	1.44700	−	5.40029i	0.0720803	−	0.269007i
$404$	−8.05288			−0.400646
$405$	5.11550	+	19.4636i	0.254191	+	0.967154i
$406$	3.81584	+	16.2894i	0.189377	+	0.808431i
$407$	−16.1491	−	4.32714i	−0.800482	−	0.214489i
$408$	−5.22660	+	15.1990i	−0.258755	+	0.752464i
$409$	4.52503	−	7.83759i	0.223749	−	0.387544i	−0.732195	−	0.681095i	$-0.761504\pi$
$409$	4.52503	−	7.83759i	0.223749	−	0.387544i	0.955943	+	0.293552i	$0.0948372\pi$
$410$	27.4378	+	26.8378i	1.35506	+	1.32542i
$411$	−20.4553	−	13.7853i	−1.00899	−	0.679978i
$412$	1.23752	−	4.61850i	0.0609683	−	0.227537i
$413$	4.69778	+	2.91457i	0.231163	+	0.143417i
$414$	5.19000	+	4.04815i	0.255075	+	0.198956i
$415$	−23.1617	−	5.93252i	−1.13696	−	0.291216i
$416$	12.4681	−	7.19849i	0.611301	−	0.352935i
$417$	−9.45064	+	8.22199i	−0.462800	+	0.402633i
$418$	−4.19717	−	15.6641i	−0.205290	−	0.766154i
$419$	−19.9695	+	34.5882i	−0.975574	+	1.68974i	−0.297547	+	0.954707i	$0.596168\pi$
$419$	−19.9695	+	34.5882i	−0.975574	+	1.68974i	−0.678028	+	0.735037i	$0.737165\pi$
$420$	9.76823	−	8.15026i	0.476641	−	0.397692i
$421$	10.7959	+	18.6991i	0.526161	+	0.911337i	0.999535	+	0.0304761i	$0.00970234\pi$
$421$	10.7959	+	18.6991i	0.526161	+	0.911337i	−0.473375	+	0.880861i	$0.656964\pi$
$422$	−12.0172	+	12.0172i	−0.584989	+	0.584989i
$423$	−9.14063	+	6.89951i	−0.444433	+	0.335466i
$424$			18.0355i			0.875883i
$425$	24.5503	+	23.4880i	1.19086	+	1.13934i
$426$	17.5930	+	11.8564i	0.852386	+	0.574442i
$427$	0.723335	+	1.34992i	0.0350046	+	0.0653273i
$428$	12.2241	−	3.27543i	0.590872	−	0.158324i
$429$	−6.84408	+	3.34149i	−0.330435	+	0.161329i
$430$	−6.16371	+	10.9537i	−0.297240	+	0.528236i
$431$	16.5934			0.799277			0.399639	−	0.916673i	$-0.369136\pi$
$431$	16.5934			0.799277			0.399639	+	0.916673i	$0.369136\pi$
$432$	11.6298	−	22.8930i	0.559537	−	1.10144i
$433$	2.84834	−	2.84834i	0.136883	−	0.136883i	−0.635345	−	0.772228i	$-0.719142\pi$
$433$	2.84834	−	2.84834i	0.136883	−	0.136883i	0.772228	+	0.635345i	$0.219142\pi$
$434$	−8.31663	+	7.80545i	−0.399211	+	0.374674i
$435$	13.3223	−	2.74835i	0.638754	−	0.131773i
$436$	1.85239	−	3.20843i	0.0887134	−	0.153656i
$437$	5.62974	−	1.50849i	0.269307	−	0.0721607i
$438$	25.9863	−	5.06208i	1.24167	−	0.241876i
$439$	−2.97861	−	5.15911i	−0.142161	−	0.246231i	0.786149	−	0.618037i	$-0.212072\pi$
$439$	−2.97861	−	5.15911i	−0.142161	−	0.246231i	−0.928310	+	0.371806i	$0.878739\pi$
$440$	1.42685	−	5.57071i	0.0680226	−	0.265573i
$441$	−15.7072	−	13.9386i	−0.747961	−	0.663743i
$442$	−20.1995	+	20.1995i	−0.960792	+	0.960792i
$443$	−2.56021	+	9.55483i	−0.121639	+	0.453964i	−0.999698	−	0.0245897i	$-0.992172\pi$
$443$	−2.56021	+	9.55483i	−0.121639	+	0.453964i	0.878058	+	0.478554i	$0.158839\pi$
$444$	19.0444	+	1.32401i	0.903806	+	0.0628346i
$445$	−20.7742	+	0.229665i	−0.984792	+	0.0108872i
$446$	−17.9806	−	10.3811i	−0.851404	−	0.491558i
$447$	12.1053	+	13.9143i	0.572562	+	0.658122i
$448$	−3.22081	−	0.102122i	−0.152169	−	0.00482480i
$449$		−	2.10095i		−	0.0991499i	−0.998770	−	0.0495749i	$-0.984213\pi$
$449$		−	2.10095i		−	0.0991499i	0.998770	−	0.0495749i	$-0.0157867\pi$
$450$	−16.7428	−	21.1902i	−0.789261	−	0.998914i
$451$			17.9541i			0.845427i
$452$	−5.32762	−	1.42753i	−0.250590	−	0.0671454i
$453$	−0.305050	−	1.56598i	−0.0143325	−	0.0735761i
$454$	4.99766	−	8.65620i	0.234552	−	0.406255i
$455$	−13.4138	+	3.29906i	−0.628851	+	0.154662i
$456$	−4.96313	−	10.1655i	−0.232420	−	0.476045i
$457$	−8.01213	−	2.14684i	−0.374792	−	0.100425i	0.0665057	−	0.997786i	$-0.478815\pi$
$457$	−8.01213	−	2.14684i	−0.374792	−	0.100425i	−0.441297	+	0.897361i	$0.645482\pi$
$458$	25.9803	−	25.9803i	1.21398	−	1.21398i
$459$	−7.29952	+	34.5467i	−0.340712	+	1.61250i
$460$	−3.27724	−	0.839417i	−0.152802	−	0.0391380i
$461$	−1.48966	+	0.860057i	−0.0693805	+	0.0400569i	−0.534289	−	0.845302i	$-0.679421\pi$
$461$	−1.48966	+	0.860057i	−0.0693805	+	0.0400569i	0.464908	+	0.885359i	$0.346087\pi$
$462$	15.4585	+	1.56831i	0.719196	+	0.0729643i
$463$	34.7809	−	9.31951i	1.61641	−	0.433115i	0.666463	−	0.745538i	$-0.267808\pi$
$463$	34.7809	−	9.31951i	1.61641	−	0.433115i	0.949943	+	0.312424i	$0.101141\pi$
$464$	−15.0310	−	8.67813i	−0.697795	−	0.402872i
$465$	6.16379	+	6.92868i	0.285839	+	0.321310i
$466$	−2.40066	−	4.15806i	−0.111208	−	0.192618i
$467$	−23.8820	−	23.8820i	−1.10513	−	1.10513i	−0.993782	−	0.111344i	$-0.964484\pi$
$467$	−23.8820	−	23.8820i	−1.10513	−	1.10513i	−0.111344	−	0.993782i	$-0.535516\pi$
$468$	6.94118	−	5.23933i	0.320856	−	0.242188i
$469$	15.5001	−	3.63093i	0.715728	−	0.167661i
$470$	7.53662	−	13.3936i	0.347638	−	0.617800i
$471$	−17.6605	−	1.22780i	−0.813754	−	0.0565740i
$472$	−2.75623	+	0.738530i	−0.126866	+	0.0339936i
$473$	−5.67919	+	1.52173i	−0.261129	+	0.0699694i
$474$	49.6453	+	3.45145i	2.28029	+	0.158530i
$475$	−23.9080	+	0.528684i	−1.09697	+	0.0242577i
$476$	21.7326	−	5.09092i	0.996114	−	0.233342i
$477$	4.86035	+	39.3226i	0.222540	+	1.80046i
$478$	23.8821	+	23.8821i	1.09234	+	1.09234i
$479$	2.49821	+	4.32703i	0.114146	+	0.197707i	0.917438	−	0.397878i	$-0.130253\pi$
$479$	2.49821	+	4.32703i	0.114146	+	0.197707i	−0.803292	+	0.595586i	$0.796920\pi$
$480$	−1.39278	+	23.8399i	−0.0635712	+	1.08814i
$481$	−17.9515	−	10.3643i	−0.818518	−	0.472572i
$482$	0.413619	−	0.110829i	0.0188398	−	0.00504812i
$483$	−0.563658	+	5.55587i	−0.0256473	+	0.252801i
$484$	8.01381	−	4.62678i	0.364264	−	0.210308i
$485$	−6.41791	+	25.0567i	−0.291422	+	1.13777i
$486$	9.54596	−	26.3925i	0.433014	−	1.19719i
$487$	16.2393	−	16.2393i	0.735874	−	0.735874i	−0.235903	−	0.971777i	$-0.575805\pi$
$487$	16.2393	−	16.2393i	0.735874	−	0.735874i	0.971777	+	0.235903i	$0.0758048\pi$
$488$	−0.763535	−	0.204589i	−0.0345636	−	0.00926129i
$489$	−15.5536	−	31.8570i	−0.703358	−	1.44063i
$490$	26.8020	+	8.70784i	1.21079	+	0.393380i
$491$	9.44428	−	16.3580i	0.426214	−	0.738225i	−0.570319	−	0.821423i	$-0.693180\pi$
$491$	9.44428	−	16.3580i	0.426214	−	0.738225i	0.996533	+	0.0831988i	$0.0265136\pi$
$492$	−3.91986	−	20.1227i	−0.176721	−	0.907199i
$493$	23.0534	+	6.17714i	1.03827	+	0.278204i
$494$		−	20.1060i		−	0.904611i
$495$	1.60971	−	12.5302i	0.0723510	−	0.563192i
$496$		−	11.8324i		−	0.531292i
$497$	−0.570424	+	17.9905i	−0.0255870	+	0.806986i
$498$	21.8858	+	25.1563i	0.980726	+	1.12728i
$499$	−0.0349444	−	0.0201752i	−0.00156433	−	0.000903164i	0.499218	−	0.866477i	$-0.333621\pi$
$499$	−0.0349444	−	0.0201752i	−0.00156433	−	0.000903164i	−0.500782	+	0.865573i	$0.666954\pi$
$500$	12.2445	+	6.53792i	0.547592	+	0.292385i
$501$	−16.3018	−	1.13334i	−0.728312	−	0.0506338i
$502$	8.25127	−	30.7942i	0.368272	−	1.37441i
$503$	−6.75303	+	6.75303i	−0.301103	+	0.301103i	−0.841445	−	0.540342i	$-0.818295\pi$
$503$	−6.75303	+	6.75303i	−0.301103	+	0.301103i	0.540342	+	0.841445i	$0.318295\pi$
$504$	10.7938	−	0.988028i	0.480794	−	0.0440102i
$505$	−12.4797	+	7.39029i	−0.555339	+	0.328864i
$506$	−2.06594	−	3.57832i	−0.0918424	−	0.159076i
$507$	12.8326	−	2.49976i	0.569914	−	0.111018i
$508$	8.44375	−	2.26249i	0.374631	−	0.100382i
$509$	−3.55311	+	6.15416i	−0.157489	+	0.272779i	−0.933962	−	0.357371i	$-0.883673\pi$
$509$	−3.55311	+	6.15416i	−0.157489	+	0.272779i	0.776474	+	0.630150i	$0.217006\pi$
$510$	−9.57356	−	46.4065i	−0.423924	−	2.05491i
$511$	15.3716	+	16.3783i	0.680000	+	0.724533i
$512$	12.0021	−	12.0021i	0.530423	−	0.530423i
$513$	−13.5605	−	20.8262i	−0.598711	−	0.919501i
$514$	−43.7295			−1.92882
$515$	−2.32068	−	8.29307i	−0.102261	−	0.365436i
$516$	6.03290	−	2.94545i	0.265584	−	0.129666i
$517$	6.94418	−	1.86069i	0.305405	−	0.0818330i
$518$	19.9730	+	37.2745i	0.877563	+	1.63775i
$519$	−16.0785	−	10.8356i	−0.705766	−	0.475632i
$520$	3.49639	−	6.21356i	0.153327	−	0.272483i
$521$		−	28.3782i		−	1.24327i	−0.783306	−	0.621636i	$-0.786468\pi$
$521$		−	28.3782i		−	1.24327i	0.783306	−	0.621636i	$-0.213532\pi$
$522$	−17.4684	−	7.39830i	−0.764571	−	0.323815i
$523$	−3.41574	+	3.41574i	−0.149360	+	0.149360i	−0.777832	−	0.628472i	$-0.783681\pi$
$523$	−3.41574	+	3.41574i	−0.149360	+	0.149360i	0.628472	+	0.777832i	$0.283681\pi$
$524$	4.91015	+	8.50463i	0.214501	+	0.371526i
$525$	7.65835	−	21.5951i	0.334238	−	0.942489i
$526$	2.66064	−	4.60836i	0.116009	−	0.200934i
$527$	4.21120	+	15.7164i	0.183443	+	0.684617i
$528$	−12.1610	+	10.5800i	−0.529239	+	0.460435i
$529$	−18.6325	+	10.7575i	−0.810109	+	0.467717i
$530$	−27.0928	−	45.7505i	−1.17683	−	1.98727i
$531$	−5.81033	+	2.35297i	−0.252147	+	0.102110i
$532$	−8.28234	+	13.3497i	−0.359085	+	0.578783i
$533$	−5.76136	+	21.5017i	−0.249552	+	0.931342i
$534$	24.0267	+	16.1921i	1.03974	+	0.700701i
$535$	15.9379	−	16.2943i	0.689057	−	0.704462i
$536$	−4.10839	+	7.11595i	−0.177456	+	0.307362i
$537$	−11.7554	+	34.1849i	−0.507284	+	1.47519i
$538$	−6.99436	−	1.87413i	−0.301548	−	0.0807997i
$539$	5.85488	+	11.8112i	0.252188	+	0.508745i
$540$	0.931547	+	14.3951i	0.0400874	+	0.619466i
$541$	−43.7150			−1.87946			−0.939728	−	0.341923i	$-0.888922\pi$
$541$	−43.7150			−1.87946			−0.939728	+	0.341923i	$0.888922\pi$
$542$	−12.6308	+	47.1388i	−0.542539	+	2.02478i
$543$	8.93175	−	25.9736i	0.383298	−	1.11464i
$544$	−20.9497	+	36.2859i	−0.898211	+	1.55575i
$545$	−0.0737627	−	6.67215i	−0.00315965	−	0.285803i
$546$	18.0097	+	6.83873i	0.770745	+	0.292671i
$547$	21.0701	+	5.64572i	0.900892	+	0.241393i	0.679400	−	0.733769i	$-0.262240\pi$
$547$	21.0701	+	5.64572i	0.900892	+	0.241393i	0.221493	+	0.975162i	$0.428907\pi$
$548$	−12.5024	−	12.5024i	−0.534076	−	0.534076i
$549$	−1.71986	−	0.240298i	−0.0734016	−	0.0102557i
$550$	4.74877	+	16.2745i	0.202488	+	0.693948i
$551$	−14.5476	+	8.39907i	−0.619749	+	0.357812i
$552$	−1.89185	−	2.17456i	−0.0805226	−	0.0925554i
$553$	19.9416	+	37.2160i	0.848004	+	1.58259i
$554$	−31.9062	−	18.4210i	−1.35556	−	0.782635i
$555$	30.7285	−	15.4256i	1.30435	−	0.654780i
$556$	−7.77604	+	4.48950i	−0.329778	+	0.190397i
$557$	24.3355	−	24.3355i	1.03113	−	1.03113i	0.0316305	−	0.999500i	$-0.489930\pi$
$557$	24.3355	−	24.3355i	1.03113	−	1.03113i	0.999500	−	0.0316305i	$-0.0100700\pi$
$558$	−1.58646	−	12.8353i	−0.0671604	−	0.543359i
$559$	−7.28967			−0.308320
$560$	−25.6148	+	14.0920i	−1.08242	+	0.595494i
$561$	12.3874	−	18.3810i	0.522995	−	0.776046i
$562$	1.96225	+	7.32322i	0.0827726	+	0.308911i
$563$	5.01170	+	18.7039i	0.211218	+	0.788276i	0.987464	+	0.157846i	$0.0504548\pi$
$563$	5.01170	+	18.7039i	0.211218	+	0.788276i	−0.776246	+	0.630430i	$0.782879\pi$
$564$	−7.37668	+	3.60152i	−0.310614	+	0.151651i
$565$	−9.56639	+	2.67700i	−0.402461	+	0.112622i
$566$			54.9456i			2.30953i
$567$	23.2673	−	5.06297i	0.977134	−	0.212625i
$568$	−6.56924	−	6.56924i	−0.275639	−	0.275639i
$569$	6.80191	−	3.92708i	0.285151	−	0.164632i	−0.350602	−	0.936525i	$-0.614023\pi$
$569$	6.80191	−	3.92708i	0.285151	−	0.164632i	0.635753	+	0.771893i	$0.280690\pi$
$570$	27.8604	+	18.3312i	1.16695	+	0.767810i
$571$	−20.4619	+	35.4411i	−0.856306	+	1.48316i	0.0191228	+	0.999817i	$0.493913\pi$
$571$	−20.4619	+	35.4411i	−0.856306	+	1.48316i	−0.875428	+	0.483348i	$0.839421\pi$
$572$	−5.27325	+	1.41296i	−0.220486	+	0.0590790i
$573$	1.69403	+	8.69632i	0.0707690	+	0.363294i
$574$	33.1134	−	31.0781i	1.38213	−	1.29717i
$575$	−5.84915	+	1.70673i	−0.243927	+	0.0711757i
$576$	2.24724	−	2.88112i	0.0936350	−	0.120047i
$577$	−30.9883	−	30.9883i	−1.29006	−	1.29006i	−0.934747	−	0.355313i	$-0.884374\pi$
$577$	−30.9883	−	30.9883i	−1.29006	−	1.29006i	−0.355313	−	0.934747i	$-0.615626\pi$
$578$	13.5956	−	50.7395i	0.565502	−	2.11048i
$579$	20.4632	+	1.42264i	0.850420	+	0.0591230i
$580$	9.74981	−	0.107787i	0.404839	−	0.00447562i
$581$	−8.18428	+	27.0802i	−0.339541	+	1.12348i
$582$	27.2145	−	23.6765i	1.12808	−	0.981421i
$583$	6.43749	−	24.0250i	0.266613	−	0.995015i
$584$	−11.5934			−0.479740
$585$	5.94864	−	14.4896i	0.245946	−	0.599069i
$586$		−	34.9806i		−	1.44504i
$587$	11.9275	−	44.5140i	0.492300	−	1.83729i	−0.0523552	−	0.998629i	$-0.516673\pi$
$587$	11.9275	−	44.5140i	0.492300	−	1.83729i	0.544655	−	0.838660i	$-0.316661\pi$
$588$	−9.14075	−	11.9595i	−0.376958	−	0.493202i
$589$	−9.91768	−	5.72597i	−0.408651	−	0.235935i
$590$	5.88228	−	6.01379i	0.242170	−	0.247584i
$591$	−29.0878	+	14.2016i	−1.19651	+	0.584175i
$592$	−42.3755	−	11.3545i	−1.74162	−	0.466667i
$593$	10.2834	−	10.2834i	0.422287	−	0.422287i	−0.463703	−	0.885990i	$-0.653480\pi$
$593$	10.2834	−	10.2834i	0.422287	−	0.422287i	0.885990	+	0.463703i	$0.153480\pi$
$594$	−11.7731	+	13.1072i	−0.483057	+	0.537794i
$595$	29.0075	−	27.8340i	1.18919	−	1.14108i
$596$	6.60993	+	11.4487i	0.270753	+	0.468958i
$597$	28.3084	+	9.73461i	1.15858	+	0.398411i
$598$	−1.32590	−	4.94831i	−0.0542199	−	0.202351i
$599$	−7.82836	−	4.51971i	−0.319858	−	0.184670i	0.331471	−	0.943465i	$-0.392455\pi$
$599$	−7.82836	−	4.51971i	−0.319858	−	0.184670i	−0.651329	+	0.758795i	$0.725788\pi$
$600$	5.42224	+	10.5100i	0.221362	+	0.429068i
$601$	−26.7067	+	15.4191i	−1.08939	+	0.628958i	−0.933413	−	0.358803i	$-0.883185\pi$
$601$	−26.7067	+	15.4191i	−1.08939	+	0.628958i	−0.155974	+	0.987761i	$0.549852\pi$
$602$	12.6371	+	7.84024i	0.515050	+	0.319544i
$603$	−7.03980	+	16.6219i	−0.286683	+	0.676897i
$604$		−	1.14358i		−	0.0465318i
$605$	8.17307	−	14.5246i	0.332282	−	0.590511i
$606$	20.1783	+	1.40284i	0.819686	+	0.0569864i
$607$	35.5688	−	9.53064i	1.44369	−	0.386837i	0.549868	−	0.835251i	$-0.314678\pi$
$607$	35.5688	−	9.53064i	1.44369	−	0.386837i	0.893826	+	0.448415i	$0.148011\pi$
$608$	−7.63262	−	28.4853i	−0.309544	−	1.15523i
$609$	−2.57524	−	15.8877i	−0.104354	−	0.643802i
$610$	2.24418	−	0.627996i	0.0908641	−	0.0254268i
$611$	8.91338			0.360597
$612$	−9.87048	+	23.3056i	−0.398991	+	0.942071i
$613$	−10.2993	−	10.2993i	−0.415983	−	0.415983i	0.467834	−	0.883817i	$-0.345035\pi$
$613$	−10.2993	−	10.2993i	−0.415983	−	0.415983i	−0.883817	+	0.467834i	$0.845035\pi$
$614$	−16.0265	−	27.7587i	−0.646777	−	1.12025i
$615$	−24.5417	−	27.5871i	−0.989615	−	1.11242i
$616$	−6.51317	−	1.96844i	−0.262423	−	0.0793105i
$617$	5.29172	+	19.7490i	0.213037	+	0.795063i	0.986848	+	0.161648i	$0.0516809\pi$
$617$	5.29172	+	19.7490i	0.213037	+	0.795063i	−0.773812	+	0.633415i	$0.781652\pi$
$618$	−3.90545	+	11.3571i	−0.157100	+	0.456849i
$619$	−8.78872	−	15.2225i	−0.353248	−	0.611844i	0.633568	−	0.773687i	$-0.281590\pi$
$619$	−8.78872	−	15.2225i	−0.353248	−	0.611844i	−0.986817	+	0.161843i	$0.948256\pi$
$620$	3.38705	+	5.71958i	0.136027	+	0.229704i
$621$	−4.71079	−	4.23132i	−0.189037	−	0.169797i
$622$	16.4671	+	16.4671i	0.660269	+	0.660269i
$623$	−0.779022	+	24.5695i	−0.0312109	+	0.984357i
$624$	−17.9590	+	8.76812i	−0.718934	+	0.351006i
$625$	24.9756	−	1.10513i	0.999022	−	0.0442050i
$626$	0.591943	+	0.341759i	0.0236588	+	0.0136594i
$627$	2.98294	+	15.3130i	0.119127	+	0.611540i
$628$	−12.2571	−	3.28429i	−0.489113	−	0.131057i
$629$	60.3263			2.40537
$630$	−25.8963	+	18.7206i	−1.03173	+	0.745848i
$631$	29.9712			1.19313			0.596567	−	0.802563i	$-0.296531\pi$
$631$	29.9712			1.19313			0.596567	+	0.802563i	$0.296531\pi$
$632$	−21.0499	−	5.64031i	−0.837320	−	0.224359i
$633$	12.3348	−	10.7312i	0.490265	−	0.426528i
$634$	−46.6861	−	26.9542i	−1.85414	−	1.07049i
$635$	11.0091	−	11.2552i	0.436883	−	0.446650i
$636$	−1.96972	+	28.3323i	−0.0781046	+	1.12345i
$637$	3.22162	+	16.0238i	0.127645	+	0.634886i
$638$	8.42073	+	8.42073i	0.333380	+	0.333380i
$639$	−16.0931	−	12.5525i	−0.636634	−	0.496568i
$640$	5.62538	−	21.9626i	0.222363	−	0.868146i
$641$	−10.4748	−	18.1429i	−0.413730	−	0.716601i	0.581564	−	0.813500i	$-0.302441\pi$
$641$	−10.4748	−	18.1429i	−0.413730	−	0.716601i	−0.995294	+	0.0968994i	$0.969107\pi$
$642$	−31.2007	+	6.07784i	−1.23139	+	0.239873i
$643$	−0.447624	−	1.67055i	−0.0176526	−	0.0658803i	0.956538	−	0.291609i	$-0.0941905\pi$
$643$	−0.447624	−	1.67055i	−0.0176526	−	0.0658803i	−0.974190	+	0.225728i	$0.927524\pi$
$644$	−1.15803	+	3.83169i	−0.0456327	+	0.150990i
$645$	6.64620	−	10.1011i	0.261694	−	0.397732i
$646$	29.2571	+	50.6749i	1.15111	+	1.99378i
$647$	10.1456	+	10.1456i	0.398867	+	0.398867i	0.877833	−	0.478967i	$-0.158988\pi$
$647$	10.1456	+	10.1456i	0.398867	+	0.398867i	−0.478967	+	0.877833i	$0.658988\pi$
$648$	−6.31294	+	10.5449i	−0.247996	+	0.414244i
$649$	3.93516			0.154469
$650$	0.464691	+	21.0141i	0.0182267	+	0.824241i
$651$	8.50233	−	6.93606i	0.333232	−	0.271846i
$652$	−6.57690	−	24.5453i	−0.257571	−	0.961270i
$653$	−40.1658	+	10.7624i	−1.57181	+	0.421165i	−0.936379	−	0.350992i	$-0.885845\pi$
$653$	−40.1658	+	10.7624i	−1.57181	+	0.421165i	−0.635432	+	0.772157i	$0.719178\pi$
$654$	−5.20050	+	7.71675i	−0.203356	+	0.301749i
$655$	15.4142	+	8.67364i	0.602284	+	0.338907i
$656$			47.1119i			1.83941i
$657$	−25.2770	+	3.12429i	−0.986149	+	0.121890i
$658$	−15.4519	−	9.58659i	−0.602378	−	0.373724i
$659$	32.4865	−	18.7561i	1.26549	−	0.730634i	0.291362	−	0.956613i	$-0.405891\pi$
$659$	32.4865	−	18.7561i	1.26549	−	0.730634i	0.974132	+	0.225979i	$0.0725581\pi$
$660$	2.84986	−	8.59527i	0.110931	−	0.334571i
$661$	20.6156	+	11.9024i	0.801856	+	0.462952i	0.844120	−	0.536155i	$-0.180124\pi$
$661$	20.6156	+	11.9024i	0.801856	+	0.462952i	−0.0422639	+	0.999106i	$0.513457\pi$
$662$	−0.140323	−	0.523692i	−0.00545380	−	0.0203538i
$663$	20.7333	−	18.0379i	0.805216	−	0.700533i
$664$	−7.30078	−	12.6453i	−0.283325	−	0.490734i
$665$	−0.584010	+	28.2892i	−0.0226469	+	1.09701i
$666$	−47.4893	−	6.63519i	−1.84017	−	0.257108i
$667$	−3.02645	+	3.02645i	−0.117185	+	0.117185i
$668$	−11.3141	−	3.03161i	−0.437757	−	0.117297i
$669$	16.5634	+	11.1625i	0.640380	+	0.431566i
$670$	−0.267787	−	24.2225i	−0.0103455	−	0.935797i
$671$	0.944076	+	0.545062i	0.0364456	+	0.0210419i
$672$	28.1116	+	2.85199i	1.08443	+	0.110018i
$673$	−7.94027	+	29.6335i	−0.306075	+	1.14229i	0.625941	+	0.779871i	$0.284715\pi$
$673$	−7.94027	+	29.6335i	−0.306075	+	1.14229i	−0.932016	+	0.362417i	$0.881952\pi$
$674$			35.7513i			1.37709i
$675$	14.6543	+	21.4535i	0.564045	+	0.825744i
$676$	9.37120			0.360431
$677$	−8.48980	+	31.6844i	−0.326289	+	1.21773i	0.586720	+	0.809790i	$0.300419\pi$
$677$	−8.48980	+	31.6844i	−0.326289	+	1.21773i	−0.913009	+	0.407939i	$0.866248\pi$
$678$	13.1009	+	4.50509i	0.503136	+	0.173017i
$679$	29.2959	+	8.85391i	1.12427	+	0.339782i
$680$	0.229379	+	20.7483i	0.00879630	+	0.795663i
$681$	−5.37384	+	7.97397i	−0.205926	+	0.305563i
$682$	−2.10126	+	7.84199i	−0.0804612	+	0.300285i
$683$	−9.74773	−	9.74773i	−0.372987	−	0.372987i	0.495577	−	0.868564i	$-0.334957\pi$
$683$	−9.74773	−	9.74773i	−0.372987	−	0.372987i	−0.868564	+	0.495577i	$0.834957\pi$
$684$	−6.68644	−	16.5112i	−0.255663	−	0.631323i
$685$	−30.8489	−	7.90149i	−1.17868	−	0.301900i
$686$	11.6492	−	31.2432i	0.444767	−	1.19287i
$687$	−26.6669	+	23.2001i	−1.01741	+	0.885138i
$688$	−14.9023	+	3.99305i	−0.568144	+	0.152234i
$689$	15.4190	−	26.7064i	0.587416	−	1.01743i
$690$	8.06563	+	2.67425i	0.307053	+	0.101807i
$691$	11.8818	−	6.85997i	0.452005	−	0.260965i	−0.256671	−	0.966499i	$-0.582626\pi$
$691$	11.8818	−	6.85997i	0.452005	−	0.260965i	0.708677	+	0.705533i	$0.249292\pi$
$692$	−9.82725	−	9.82725i	−0.373576	−	0.373576i
$693$	−14.7310	−	2.53653i	−0.559585	−	0.0963546i
$694$			19.7969i			0.751478i
$695$	−7.93057	+	14.0937i	−0.300824	+	0.534604i
$696$	6.88893	+	4.64261i	0.261124	+	0.175978i
$697$	−16.7672	−	62.5762i	−0.635105	−	2.37024i
$698$	−0.875650	−	3.26797i	−0.0331439	−	0.123695i
$699$	2.02650	+	4.15070i	0.0766493	+	0.156994i
$700$	8.34789	−	14.1441i	0.315520	−	0.534596i
$701$	17.2147			0.650191			0.325095	−	0.945681i	$-0.394604\pi$
$701$	17.2147			0.650191			0.325095	+	0.945681i	$0.394604\pi$
$702$	−18.3054	+	11.9191i	−0.690892	+	0.449858i
$703$	−30.0235	+	30.0235i	−1.13236	+	1.13236i
$704$	−1.98643	+	1.14686i	−0.0748662	+	0.0432240i
$705$	−8.12658	+	12.3511i	−0.306065	+	0.465169i
$706$	−17.5282	−	10.1199i	−0.659683	−	0.380868i
$707$	8.10524	+	15.1264i	0.304829	+	0.568887i
$708$	−4.41046	+	0.859150i	−0.165755	+	0.0322888i
$709$	27.7607	−	16.0277i	1.04258	−	0.601932i	0.122015	−	0.992528i	$-0.461065\pi$
$709$	27.7607	−	16.0277i	1.04258	−	0.601932i	0.920562	+	0.390596i	$0.127731\pi$
$710$	26.5323	+	6.79586i	0.995740	+	0.255044i
$711$	−47.4147	−	6.62477i	−1.77819	−	0.248448i
$712$	−8.97155	−	8.97155i	−0.336223	−	0.336223i
$713$	−2.81845	−	0.755203i	−0.105552	−	0.0282826i
$714$	−55.3428	+	8.97053i	−2.07115	+	0.335714i
$715$	−6.87535	+	7.02907i	−0.257124	+	0.262872i
$716$	−12.9559	+	22.4403i	−0.484186	+	0.838635i
$717$	−21.3264	−	24.5132i	−0.796448	−	0.915464i
$718$	−7.10340	+	26.5103i	−0.265097	+	0.989354i
$719$	−32.8378			−1.22464			−0.612322	−	0.790609i	$-0.709764\pi$
$719$	−32.8378			−1.22464			−0.612322	+	0.790609i	$0.709764\pi$
$720$	4.22390	−	32.8795i	0.157415	−	1.22535i
$721$	−9.92088	+	2.32399i	−0.369473	+	0.0865498i
$722$	−6.73855	−	1.80559i	−0.250783	−	0.0671971i
$723$	−0.404348	+	0.0787663i	−0.0150379	+	0.00292935i
$724$	9.84390	−	17.0501i	0.365846	−	0.633663i
$725$	15.0106	−	9.11465i	0.557478	−	0.338510i
$726$	−20.8864	+	10.1974i	−0.775167	+	0.378461i
$727$	0.358682	−	1.33862i	0.0133028	−	0.0496467i	−0.958955	−	0.283557i	$-0.908486\pi$
$727$	0.358682	−	1.33862i	0.0133028	−	0.0496467i	0.972258	+	0.233910i	$0.0751522\pi$
$728$	−7.16846	−	4.44742i	−0.265681	−	0.164832i
$729$	−10.9223	+	24.6922i	−0.404528	+	0.914525i
$730$	29.4089	−	17.4155i	1.08847	−	0.644578i
$731$	18.3728	−	10.6075i	0.679542	−	0.392334i
$732$	−1.17710	−	0.404779i	−0.0435070	−	0.0149611i
$733$	1.00849	+	3.76373i	0.0372493	+	0.139016i	0.982046	−	0.188640i	$-0.0604079\pi$
$733$	1.00849	+	3.76373i	0.0372493	+	0.139016i	−0.944797	+	0.327656i	$0.893741\pi$
$734$	4.10286	−	7.10636i	0.151439	−	0.262301i
$735$	−25.1411	−	10.1452i	−0.927343	−	0.374213i
$736$	−3.75695	−	6.50723i	−0.138483	−	0.239860i
$737$	8.01269	−	8.01269i	0.295151	−	0.295151i
$738$	6.31664	+	51.1046i	0.232519	+	1.88119i
$739$		−	20.7330i		−	0.762675i	−0.924436	−	0.381337i	$-0.875464\pi$
$739$		−	20.7330i		−	0.762675i	0.924436	−	0.381337i	$-0.124536\pi$
$740$	23.7338	−	6.64151i	0.872471	−	0.244147i
$741$	−1.34149	+	19.2959i	−0.0492809	+	0.708851i
$742$	−55.4533	+	29.7138i	−2.03575	+	1.09083i
$743$	−13.7294	+	3.67878i	−0.503682	+	0.134961i	−0.501708	−	0.865037i	$-0.667295\pi$
$743$	−13.7294	+	3.67878i	−0.503682	+	0.134961i	−0.00197382	+	0.999998i	$0.500628\pi$
$744$	−0.392784	+	5.64977i	−0.0144002	+	0.207131i
$745$	20.7503	+	11.6762i	0.760231	+	0.427785i
$746$	−17.0476			−0.624157
$747$	−19.3255	−	25.6029i	−0.707083	−	0.936761i
$748$	11.2346	−	11.2346i	0.410776	−	0.410776i
$749$	−18.4561	−	19.6648i	−0.674370	−	0.718534i
$750$	−29.5425	−	18.5152i	−1.07874	−	0.676081i
$751$	15.1423	−	26.2272i	0.552550	−	0.957045i	−0.445539	−	0.895262i	$-0.646988\pi$
$751$	15.1423	−	26.2272i	0.552550	−	0.957045i	0.998090	−	0.0617827i	$-0.0196786\pi$
$752$	18.2216	−	4.88247i	0.664474	−	0.178045i
$753$	−9.97343	+	29.0029i	−0.363452	+	1.05692i
$754$	7.38243	+	12.7867i	0.268852	+	0.465666i
$755$	−1.04949	−	1.77223i	−0.0381949	−	0.0644982i
$756$	17.0641	−	0.373278i	0.620614	−	0.0135760i
$757$	−17.8517	+	17.8517i	−0.648833	+	0.648833i	−0.952711	−	0.303878i	$-0.901718\pi$
$757$	−17.8517	+	17.8517i	−0.648833	+	0.648833i	0.303878	+	0.952711i	$0.401718\pi$
$758$	−7.62448	+	28.4550i	−0.276934	+	1.03353i
$759$	1.74395	+	3.57198i	0.0633015	+	0.129655i
$760$	−10.4403	−	10.2120i	−0.378710	−	0.370428i
$761$	18.9334	+	10.9312i	0.686334	+	0.396255i	0.802237	−	0.597006i	$-0.203643\pi$
$761$	18.9334	+	10.9312i	0.686334	+	0.396255i	−0.115903	+	0.993260i	$0.536976\pi$
$762$	−21.5518	+	4.19826i	−0.780740	+	0.152087i
$763$	−7.89111	−	0.250202i	−0.285677	−	0.00905793i
$764$			6.35064i			0.229758i
$765$	6.09153	+	45.1754i	0.220240	+	1.63332i
$766$		−	1.42466i		−	0.0514752i
$767$	4.71272	+	1.26277i	0.170166	+	0.0455959i
$768$	−27.0370	+	23.5220i	−0.975614	+	0.848778i
$769$	6.21557	−	10.7657i	0.224139	−	0.388221i	−0.731922	−	0.681389i	$-0.761376\pi$
$769$	6.21557	−	10.7657i	0.224139	−	0.388221i	0.956061	+	0.293168i	$0.0947096\pi$
$770$	19.4788	−	4.79071i	0.701968	−	0.172645i
$771$	41.9675	+	2.91767i	1.51142	+	0.105077i
$772$	14.2023	+	3.80549i	0.511151	+	0.136963i
$773$	3.32657	−	3.32657i	0.119648	−	0.119648i	−0.644747	−	0.764396i	$-0.723037\pi$
$773$	3.32657	−	3.32657i	0.119648	−	0.119648i	0.764396	+	0.644747i	$0.223037\pi$
$774$	−15.6299	+	6.32953i	−0.561805	+	0.227510i
$775$	10.4980	+	5.75538i	0.377098	+	0.206739i
$776$	−13.6800	+	7.89812i	−0.491082	+	0.283526i
$777$	−16.6812	−	37.1053i	−0.598436	−	1.33114i
$778$	−22.7021	+	6.08301i	−0.813909	+	0.218086i
$779$	39.4881	+	22.7985i	1.41481	+	0.816839i
$780$	6.17114	−	9.37912i	0.220962	−	0.335827i
$781$	6.40606	+	11.0956i	0.229227	+	0.397032i
$782$	10.5423	+	10.5423i	0.376991	+	0.376991i
$783$	16.2709	+	8.26571i	0.581475	+	0.295392i
$784$	15.3633	+	30.9928i	0.548689	+	1.10688i
$785$	−22.0092	+	6.15890i	−0.785541	+	0.219821i
$786$	−10.8219	−	22.1656i	−0.386006	−	0.790621i
$787$	10.8743	−	2.91377i	0.387628	−	0.103865i	−0.0597416	−	0.998214i	$-0.519028\pi$
$787$	10.8743	−	2.91377i	0.387628	−	0.103865i	0.447369	+	0.894349i	$0.352361\pi$
$788$	−22.4117	+	6.00520i	−0.798384	+	0.213926i
$789$	−2.86091	+	4.24516i	−0.101851	+	0.151132i
$790$	61.8698	−	17.3132i	2.20123	−	0.615977i
$791$	2.68081	+	11.4441i	0.0953188	+	0.406907i
$792$	6.15786	−	4.64806i	0.218810	−	0.165162i
$793$	0.955710	+	0.955710i	0.0339383	+	0.0339383i
$794$	−11.4338	−	19.8039i	−0.405769	−	0.702813i
$795$	22.9486	+	45.7148i	0.813904	+	1.62134i
$796$	18.5828	+	10.7288i	0.658648	+	0.380271i
$797$	11.6753	−	3.12838i	0.413559	−	0.110813i	−0.0460394	−	0.998940i	$-0.514660\pi$
$797$	11.6753	−	3.12838i	0.413559	−	0.110813i	0.459599	+	0.888127i	$0.347993\pi$
$798$	23.0788	−	32.0078i	0.816981	−	1.13306i
$799$	−22.4652	+	12.9703i	−0.794760	+	0.458855i
$800$	8.63571	+	29.5955i	0.305319	+	1.04636i
$801$	−21.9782	−	17.1428i	−0.776562	−	0.605710i
$802$	−45.3848	+	45.3848i	−1.60259	+	1.60259i
$803$	15.4436	+	4.13809i	0.544991	+	0.146030i
$804$	−7.23109	+	10.7299i	−0.255021	+	0.378413i
$805$	1.72181	+	7.00080i	0.0606857	+	0.246746i
$806$	−5.03289	+	8.71723i	−0.177276	+	0.307051i
$807$	6.58750	+	2.26529i	0.231891	+	0.0797421i
$808$	−8.55571	−	2.29249i	−0.300989	−	0.0806497i
$809$		−	18.3821i		−	0.646279i	−0.946351	−	0.323140i	$-0.895262\pi$
$809$		−	18.3821i		−	0.646279i	0.946351	−	0.323140i	$-0.104738\pi$
$810$	0.173475	−	36.2324i	0.00609530	−	1.27308i
$811$			17.6092i			0.618343i	0.951006	+	0.309171i	$0.100052\pi$
$811$			17.6092i			0.618343i	−0.951006	+	0.309171i	$0.899948\pi$
$812$	0.365613	−	11.5310i	0.0128305	−	0.404660i
$813$	15.2670	−	44.3967i	0.535438	−	1.55706i
$814$	26.0682	+	15.0505i	0.913689	+	0.527518i
$815$	−32.7181	−	32.0026i	−1.14607	−	1.12100i
$816$	32.5046	−	48.2319i	1.13789	−	1.68846i
$817$	−3.86465	+	14.4231i	−0.135207	+	0.504599i
$818$	−11.5216	+	11.5216i	−0.402842	+	0.402842i
$819$	−16.8278	−	7.76481i	−0.588011	−	0.271325i
$820$	−13.4858	−	22.7730i	−0.470946	−	0.795268i
$821$	−7.33816	−	12.7101i	−0.256103	−	0.443584i	0.709091	−	0.705117i	$-0.249105\pi$
$821$	−7.33816	−	12.7101i	−0.256103	−	0.443584i	−0.965195	+	0.261533i	$0.915772\pi$
$822$	29.1496	+	33.5055i	1.01671	+	1.16864i
$823$	26.3348	−	7.05640i	0.917975	−	0.245971i	0.231255	−	0.972893i	$-0.425717\pi$
$823$	26.3348	−	7.05640i	0.917975	−	0.245971i	0.686720	+	0.726922i	$0.259050\pi$
$824$	2.62959	−	4.55458i	0.0916061	−	0.158666i
$825$	−3.47158	−	15.9356i	−0.120865	−	0.554808i
$826$	−6.81166	−	7.25775i	−0.237008	−	0.252530i
$827$	17.9120	−	17.9120i	0.622862	−	0.622862i	−0.323400	−	0.946262i	$-0.604826\pi$
$827$	17.9120	−	17.9120i	0.622862	−	0.622862i	0.946262	+	0.323400i	$0.104826\pi$
$828$	−2.73445	−	3.62266i	−0.0950286	−	0.125896i
$829$	5.95501			0.206826			0.103413	−	0.994638i	$-0.467024\pi$
$829$	5.95501			0.206826			0.103413	+	0.994638i	$0.467024\pi$
$830$	37.5154	+	21.1101i	1.30218	+	0.732741i
$831$	29.3915	+	19.8076i	1.01958	+	0.687119i
$832$	−2.74695	+	0.736042i	−0.0952333	+	0.0255177i
$833$	−31.4367	−	35.6982i	−1.08922	−	1.23687i
$834$	20.2667	−	9.89483i	0.701778	−	0.342630i
$835$	−20.3159	+	5.68507i	−0.703061	+	0.196740i
$836$			11.1826i			0.386757i
$837$	0.666161	+	12.4239i	0.0230259	+	0.429434i
$838$	50.8460	−	50.8460i	1.75645	−	1.75645i
$839$	−6.89230	−	11.9378i	−0.237948	−	0.412139i	0.722177	−	0.691708i	$-0.243142\pi$
$839$	−6.89230	−	11.9378i	−0.237948	−	0.412139i	−0.960125	+	0.279569i	$0.909808\pi$
$840$	12.6984	−	5.87835i	0.438136	−	0.202822i
$841$	−8.33213	+	14.4317i	−0.287315	+	0.497644i
$842$	−10.0614	−	37.5498i	−0.346740	−	1.29405i
$843$	−1.39458	−	7.15908i	−0.0480317	−	0.246572i
$844$	10.1492	−	5.85962i	0.349349	−	0.201697i
$845$	14.5227	−	8.60015i	0.499597	−	0.295854i
$846$	19.1113	−	7.73938i	0.657060	−	0.266085i
$847$	−16.7568	−	10.3962i	−0.575770	−	0.357216i
$848$	16.8921	−	63.0420i	0.580076	−	2.16487i
$849$	3.66602	−	52.7317i	0.125818	−	1.80975i
$850$	−31.7498	−	52.2874i	−1.08901	−	1.79344i
$851$	−5.40922	+	9.36904i	−0.185426	+	0.321166i
$852$	−9.60226	−	11.0372i	−0.328968	−	0.378127i
$853$	33.4347	+	8.95880i	1.14478	+	0.306743i	0.780872	−	0.624691i	$-0.214775\pi$
$853$	33.4347	+	8.95880i	1.14478	+	0.306743i	0.363910	+	0.931434i	$0.381442\pi$
$854$	−0.628892	−	2.68468i	−0.0215202	−	0.0918678i
$855$	−25.5148	−	19.4515i	−0.872588	−	0.665227i
$856$	13.9198			0.475769
$857$	−1.94474	+	7.25786i	−0.0664309	+	0.247924i	−0.991154	−	0.132717i	$-0.957630\pi$
$857$	−1.94474	+	7.25786i	−0.0664309	+	0.247924i	0.924723	+	0.380641i	$0.124297\pi$
$858$	13.4594	−	2.62188i	0.459498	−	0.0895094i
$859$	−10.4065	+	18.0246i	−0.355066	+	0.614993i	−0.987129	−	0.159924i	$-0.948875\pi$
$859$	−10.4065	+	18.0246i	−0.355066	+	0.614993i	0.632063	+	0.774917i	$0.282208\pi$
$860$	6.06047	−	6.19597i	0.206660	−	0.211281i
$861$	−33.8527	+	27.6165i	−1.15370	+	0.941168i
$862$	−28.8572	−	7.73227i	−0.982881	−	0.263362i
$863$	37.8223	+	37.8223i	1.28749	+	1.28749i	0.936308	+	0.351179i	$0.114219\pi$
$863$	37.8223	+	37.8223i	1.28749	+	1.28749i	0.351179	+	0.936308i	$0.385781\pi$
$864$	−21.4096	+	23.8356i	−0.728369	+	0.810904i
$865$	−24.2481	−	6.21080i	−0.824462	−	0.211174i
$866$	−6.28076	+	3.62620i	−0.213429	+	0.123223i
$867$	−16.4332	+	47.7879i	−0.558100	+	1.62296i
$868$	6.93259	−	3.71472i	0.235308	−	0.126086i
$869$	26.0272	+	15.0268i	0.882913	+	0.509750i
$870$	−24.4491	−	1.42837i	−0.828902	−	0.0484261i
$871$	12.1671	−	7.02470i	0.412268	−	0.238023i
$872$	2.88143	−	2.88143i	0.0975776	−	0.0975776i
$873$	−27.6977	+	20.9067i	−0.937425	+	0.707585i
$874$	−10.4935			−0.354947
$875$	−0.0434342	−	29.5804i	−0.00146834	−	0.999999i
$876$	−18.2123	−	1.26616i	−0.615337	−	0.0427796i
$877$	0.212544	+	0.793224i	0.00717710	+	0.0267853i	0.969422	−	0.245402i	$-0.0789198\pi$
$877$	0.212544	+	0.793224i	0.00717710	+	0.0267853i	−0.962244	+	0.272187i	$0.912253\pi$
$878$	2.77597	+	10.3601i	0.0936845	+	0.349635i
$879$	−2.33394	+	33.5712i	−0.0787220	+	1.13233i
$880$	−10.2050	+	18.1356i	−0.344010	+	0.611352i
$881$		−	32.6460i		−	1.09987i	−0.835207	−	0.549936i	$-0.814652\pi$
$881$		−	32.6460i		−	1.09987i	0.835207	−	0.549936i	$-0.185348\pi$
$882$	20.8208	+	31.5596i	0.701072	+	1.06267i
$883$	13.8848	+	13.8848i	0.467261	+	0.467261i	0.901026	−	0.433765i	$-0.142815\pi$
$883$	13.8848	+	13.8848i	0.467261	+	0.467261i	−0.433765	+	0.901026i	$0.642815\pi$
$884$	17.0595	−	9.84932i	0.573774	−	0.331268i
$885$	−6.04651	+	5.37901i	−0.203251	+	0.180813i
$886$	8.90480	−	15.4236i	0.299163	−	0.518165i
$887$	−1.69432	+	0.453991i	−0.0568897	+	0.0152435i	−0.287152	−	0.957885i	$-0.592708\pi$
$887$	−1.69432	+	0.453991i	−0.0568897	+	0.0152435i	0.230262	+	0.973129i	$0.426042\pi$
$888$	19.8566	+	6.82824i	0.666344	+	0.229141i
$889$	−12.7485	−	13.5834i	−0.427571	−	0.455572i
$890$	36.2349	+	9.28104i	1.21460	+	0.311101i
$891$	12.1733	−	11.7935i	0.407820	−	0.395098i
$892$	10.1237	+	10.1237i	0.338966	+	0.338966i
$893$	4.72547	−	17.6357i	0.158132	−	0.590156i
$894$	−14.5682	−	29.8388i	−0.487235	−	0.997959i
$895$	0.515909	+	46.6662i	0.0172449	+	1.55988i
$896$	−25.6782	−	7.76057i	−0.857850	−	0.259263i
$897$	0.942316	+	4.83740i	0.0314630	+	0.161516i
$898$	−0.979008	+	3.65371i	−0.0326699	+	0.121926i
$899$	8.40976			0.280481
$900$	7.37005	+	17.1024i	0.245668	+	0.570081i
$901$			89.7473i			2.98992i
$902$	8.36633	−	31.2236i	0.278568	−	1.03963i
$903$	−11.6048	−	8.36750i	−0.386184	−	0.278453i
$904$	−5.25389	−	3.03334i	−0.174742	−	0.100887i
$905$	−0.391987	−	35.4569i	−0.0130301	−	1.17863i
$906$	−0.199216	+	2.86551i	−0.00661852	+	0.0952000i
$907$	−1.18033	−	0.316269i	−0.0391923	−	0.0105015i	0.239170	−	0.970978i	$-0.423125\pi$
$907$	−1.18033	−	0.316269i	−0.0391923	−	0.0105015i	−0.278362	+	0.960476i	$0.589791\pi$
$908$	−4.87374	+	4.87374i	−0.161741	+	0.161741i
$909$	−19.2716	−	2.69263i	−0.639200	−	0.0893089i
$910$	24.8650	+	0.513320i	0.824266	+	0.0170164i
$911$	8.09456	+	14.0202i	0.268185	+	0.464510i	0.968393	−	0.249429i	$-0.0802429\pi$
$911$	8.09456	+	14.0202i	0.268185	+	0.464510i	−0.700208	+	0.713939i	$0.746910\pi$
$912$	7.82727	+	40.1814i	0.259187	+	1.33054i
$913$	5.21178	+	19.4506i	0.172485	+	0.643722i
$914$	12.9333	+	7.46705i	0.427796	+	0.246988i
$915$	−2.19566	+	0.452959i	−0.0725861	+	0.0149744i
$916$	−21.9417	+	12.6681i	−0.724975	+	0.418564i
$917$	11.0329	−	17.7831i	0.364338	−	0.587249i
$918$	28.7926	−	56.6778i	0.950297	−	1.87065i
$919$		−	28.2166i		−	0.930778i	−0.885106	−	0.465389i	$-0.845914\pi$
$919$		−	28.2166i		−	0.930778i	0.885106	−	0.465389i	$-0.154086\pi$
$920$	−3.24291	−	1.82480i	−0.106916	−	0.0601618i
$921$	13.5287	+	27.7096i	0.445785	+	0.913061i
$922$	2.99141	−	0.801546i	0.0985168	−	0.0263975i
$923$	4.11133	+	15.3437i	0.135326	+	0.505043i
$924$	−10.0167	−	3.80357i	−0.329524	−	0.125128i
$925$	30.6856	−	32.0735i	1.00894	−	1.05457i
$926$	−64.8294			−2.13042
$927$	4.50584	−	10.6389i	0.147991	−	0.349428i
$928$	15.3132	+	15.3132i	0.502681	+	0.502681i
$929$	−17.3906	−	30.1213i	−0.570566	−	0.988249i	−0.996508	−	0.0834986i	$-0.973391\pi$
$929$	−17.3906	−	30.1213i	−0.570566	−	0.988249i	0.425942	−	0.904750i	$-0.359943\pi$
$930$	−7.49064	−	14.9217i	−0.245628	−	0.489303i
$931$	33.4121	+	2.12091i	1.09504	+	0.0695102i
$932$	0.856914	+	3.19805i	0.0280691	+	0.104755i
$933$	−14.7049	−	16.9023i	−0.481416	−	0.553356i
$934$	30.4039	+	52.6612i	0.994848	+	1.72313i
$935$	7.10022	−	27.7206i	0.232202	−	0.906561i
$936$	8.86613	−	3.59046i	0.289799	−	0.117358i
$937$	15.9980	+	15.9980i	0.522633	+	0.522633i	0.918366	−	0.395732i	$-0.129509\pi$
$937$	15.9980	+	15.9980i	0.522633	+	0.522633i	−0.395732	+	0.918366i	$0.629509\pi$
$938$	−28.6478	−	0.908331i	−0.935384	−	0.0296581i
$939$	−0.545290	−	0.367483i	−0.0177949	−	0.0119924i
$940$	−7.41038	+	7.57606i	−0.241700	+	0.247104i
$941$	−18.8157	−	10.8632i	−0.613373	−	0.354131i	0.160911	−	0.986969i	$-0.448557\pi$
$941$	−18.8157	−	10.8632i	−0.613373	−	0.354131i	−0.774285	+	0.632838i	$0.781890\pi$
$942$	30.1408	+	10.3648i	0.982042	+	0.337702i
$943$	11.2219	+	3.00690i	0.365436	+	0.0979183i
$944$	10.3259			0.336080
$945$	26.1019	−	16.2385i	0.849096	−	0.528239i
$946$	10.5856			0.344169
$947$	−31.0439	−	8.31818i	−1.00879	−	0.270305i	−0.283667	−	0.958923i	$-0.591551\pi$
$947$	−31.0439	−	8.31818i	−1.00879	−	0.270305i	−0.725124	+	0.688618i	$0.758218\pi$
$948$	−32.4516	−	11.1594i	−1.05398	−	0.362439i
$949$	17.1672	+	9.91148i	0.557271	+	0.321740i
$950$	41.8241	+	10.2213i	1.35695	+	0.331623i
$951$	43.0066	+	28.9831i	1.39458	+	0.939841i
$952$	24.5389	+	0.778052i	0.795312	+	0.0252168i
$953$	−25.9446	−	25.9446i	−0.840429	−	0.840429i	0.148486	−	0.988915i	$-0.452560\pi$
$953$	−25.9446	−	25.9446i	−0.840429	−	0.840429i	−0.988915	+	0.148486i	$0.952560\pi$
$954$	9.87116	−	70.6497i	0.319591	−	2.28737i
$955$	5.82812	+	9.84171i	0.188593	+	0.318470i
$956$	−11.6449	−	20.1696i	−0.376624	−	0.652333i
$957$	−7.51960	−	8.64327i	−0.243074	−	0.279397i
$958$	−2.32825	−	8.68916i	−0.0752225	−	0.280734i
$959$	−10.9006	+	36.0680i	−0.351999	+	1.16470i
$960$	1.48455	−	4.47746i	0.0479137	−	0.144509i
$961$	−12.6334	−	21.8816i	−0.407528	−	0.705859i
$962$	26.3894	+	26.3894i	0.850829	+	0.850829i
$963$	30.3491	−	3.75121i	0.977985	−	0.120881i
$964$	−0.295282			−0.00951040
$965$	25.5019	−	7.13629i	0.820936	−	0.229725i
$966$	3.56919	−	9.39943i	0.114837	−	0.302422i
$967$	8.48009	+	31.6481i	0.272701	+	1.01774i	0.957366	+	0.288877i	$0.0932820\pi$
$967$	8.48009	+	31.6481i	0.272701	+	1.01774i	−0.684665	+	0.728858i	$0.740051\pi$
$968$	9.83136	−	2.63430i	0.315992	−	0.0846697i
$969$	−24.6972	−	50.5851i	−0.793389	−	1.62503i
$970$	22.8373	−	40.5849i	0.733260	−	1.30310i
$971$			3.61708i			0.116078i	0.998314	+	0.0580388i	$0.0184847\pi$
$971$			3.61708i			0.116078i	−0.998314	+	0.0580388i	$0.981515\pi$
$972$	−11.0687	+	15.8757i	−0.355030	+	0.509214i
$973$	16.2596	+	10.0877i	0.521259	+	0.323397i
$974$	−35.8087	+	20.6741i	−1.14738	+	0.662442i
$975$	0.956113	−	20.1984i	0.0306201	−	0.646866i
$976$	2.47727	+	1.43025i	0.0792954	+	0.0457812i
$977$	−9.32312	−	34.7944i	−0.298273	−	1.11317i	−0.938583	−	0.345054i	$-0.887861\pi$
$977$	−9.32312	−	34.7944i	−0.298273	−	1.11317i	0.640310	−	0.768117i	$-0.278806\pi$
$978$	12.2040	+	62.6495i	0.390241	+	2.00331i
$979$	8.74870	+	15.1532i	0.279610	+	0.484298i
$980$	−16.2981	−	10.5836i	−0.520622	−	0.338080i
$981$	5.50583	−	7.05885i	0.175787	−	0.225372i
$982$	−24.0469	+	24.0469i	−0.767366	+	0.767366i
$983$	−7.72623	−	2.07024i	−0.246429	−	0.0660303i	0.133490	−	0.991050i	$-0.457381\pi$
$983$	−7.72623	−	2.07024i	−0.246429	−	0.0660303i	−0.379919	+	0.925020i	$0.624048\pi$
$984$	1.56390	−	22.4950i	0.0498555	−	0.717116i
$985$	−29.2208	+	29.8741i	−0.931051	+	0.951867i
$986$	−37.2132	−	21.4850i	−1.18511	−	0.684223i
$987$	14.1897	+	10.2313i	0.451663	+	0.325666i
$988$	−3.58841	+	13.3921i	−0.114163	+	0.426060i
$989$			3.80454i			0.120977i
$990$	−8.63829	+	21.0409i	−0.274543	+	0.668724i
$991$	24.1040			0.765690			0.382845	−	0.923813i	$-0.374944\pi$
$991$	24.1040			0.765690			0.382845	+	0.923813i	$0.374944\pi$
$992$	−3.82117	+	14.2608i	−0.121322	+	0.452781i
$993$	0.0997276	+	0.511953i	0.00316476	+	0.0162463i
$994$	9.37531	−	31.0211i	0.297367	−	0.983930i
$995$	38.6440	−	0.427222i	1.22510	−	0.0135438i
$996$	−10.0879	−	20.6621i	−0.319646	−	0.654702i
$997$	−7.31339	+	27.2939i	−0.231617	+	0.864408i	0.748027	+	0.663668i	$0.231001\pi$
$997$	−7.31339	+	27.2939i	−0.231617	+	0.864408i	−0.979645	+	0.200740i	$0.935665\pi$
$998$	0.0513696	+	0.0513696i	0.00162608	+	0.00162608i
$999$	45.1331	+	9.53637i	1.42795	+	0.301718i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	315.2.cb.a.13.10	yes	176
3.2	odd	2		945.2.ce.a.118.35		176
5.2	odd	4	inner	315.2.cb.a.202.36	yes	176
7.6	odd	2	inner	315.2.cb.a.13.9	✓	176
9.2	odd	6		945.2.ce.a.748.10		176
9.7	even	3	inner	315.2.cb.a.223.35	yes	176
15.2	even	4		945.2.ce.a.307.9		176
21.20	even	2		945.2.ce.a.118.36		176
35.27	even	4	inner	315.2.cb.a.202.35	yes	176
45.2	even	12		945.2.ce.a.937.36		176
45.7	odd	12	inner	315.2.cb.a.97.9	yes	176
63.20	even	6		945.2.ce.a.748.9		176
63.34	odd	6	inner	315.2.cb.a.223.36	yes	176
105.62	odd	4		945.2.ce.a.307.10		176
315.97	even	12	inner	315.2.cb.a.97.10	yes	176
315.272	odd	12		945.2.ce.a.937.35		176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
315.2.cb.a.13.9	✓	176	7.6	odd	2	inner
315.2.cb.a.13.10	yes	176	1.1	even	1	trivial
315.2.cb.a.97.9	yes	176	45.7	odd	12	inner
315.2.cb.a.97.10	yes	176	315.97	even	12	inner
315.2.cb.a.202.35	yes	176	35.27	even	4	inner
315.2.cb.a.202.36	yes	176	5.2	odd	4	inner
315.2.cb.a.223.35	yes	176	9.7	even	3	inner
315.2.cb.a.223.36	yes	176	63.34	odd	6	inner
945.2.ce.a.118.35		176	3.2	odd	2
945.2.ce.a.118.36		176	21.20	even	2
945.2.ce.a.307.9		176	15.2	even	4
945.2.ce.a.307.10		176	105.62	odd	4
945.2.ce.a.748.9		176	63.20	even	6
945.2.ce.a.748.10		176	9.2	odd	6
945.2.ce.a.937.35		176	315.272	odd	12
945.2.ce.a.937.36		176	45.2	even	12

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:	\( N \)	\(=\)	\( 315 = 3^{2} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	315.cb (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.73908 - 0.465984i) q^{2} +(1.63791 + 0.563241i) q^{3} +(1.07519 + 0.620762i) q^{4} +(2.23593 - 0.0247189i) q^{5} +(-2.58599 - 1.74276i) q^{6} +(0.0838463 - 2.64442i) q^{7} +(0.965609 + 0.965609i) q^{8} +(2.36552 + 1.84508i) q^{9} +O(q^{10})\)	\(q+(-1.73908 - 0.465984i) q^{2} +(1.63791 + 0.563241i) q^{3} +(1.07519 + 0.620762i) q^{4} +(2.23593 - 0.0247189i) q^{5} +(-2.58599 - 1.74276i) q^{6} +(0.0838463 - 2.64442i) q^{7} +(0.965609 + 0.965609i) q^{8} +(2.36552 + 1.84508i) q^{9} +(-3.89997 - 0.998920i) q^{10} +(-0.941623 - 1.63094i) q^{11} +(1.41143 + 1.62235i) q^{12} +(-0.604322 - 2.25536i) q^{13} +(-1.37807 + 4.55978i) q^{14} +(3.67618 + 1.21888i) q^{15} +(-2.47083 - 4.27961i) q^{16} +(4.80500 + 4.80500i) q^{17} +(-3.25404 - 4.31103i) q^{18} -4.78276 q^{19} +(2.41940 + 1.36140i) q^{20} +(1.62678 - 4.28411i) q^{21} +(0.877563 + 3.27511i) q^{22} +(-1.17709 + 0.315401i) q^{23} +(1.03771 + 2.12545i) q^{24} +(4.99878 - 0.110540i) q^{25} +4.20385i q^{26} +(2.83529 + 4.35444i) q^{27} +(1.73171 - 2.79121i) q^{28} +(3.04168 - 1.75611i) q^{29} +(-5.82518 - 3.83277i) q^{30} +(2.07363 + 1.19721i) q^{31} +(1.59586 + 5.95584i) q^{32} +(-0.623685 - 3.20170i) q^{33} +(-6.11721 - 10.5953i) q^{34} +(0.122107 - 5.91482i) q^{35} +(1.39803 + 3.45224i) q^{36} +(6.27745 - 6.27745i) q^{37} +(8.31758 + 2.22869i) q^{38} +(0.280485 - 4.03446i) q^{39} +(2.18290 + 2.13517i) q^{40} +(-8.25634 - 4.76680i) q^{41} +(-4.82542 + 6.69233i) q^{42} +(0.808038 - 3.01564i) q^{43} -2.33810i q^{44} +(5.33475 + 4.06700i) q^{45} +2.19402 q^{46} +(-0.988021 + 3.68735i) q^{47} +(-1.63656 - 8.40130i) q^{48} +(-6.98594 - 0.443450i) q^{49} +(-8.74476 - 2.13711i) q^{50} +(5.16380 + 10.5766i) q^{51} +(0.750280 - 2.80008i) q^{52} +(9.33895 + 9.33895i) q^{53} +(-2.90168 - 8.89390i) q^{54} +(-2.14572 - 3.62339i) q^{55} +(2.63444 - 2.47252i) q^{56} +(-7.83374 - 2.69385i) q^{57} +(-6.10803 + 1.63664i) q^{58} +(-1.04478 + 1.80961i) q^{59} +(3.19597 + 3.59257i) q^{60} +(-0.501302 + 0.289427i) q^{61} +(-3.04832 - 3.04832i) q^{62} +(5.07751 - 6.10073i) q^{63} -1.21796i q^{64} +(-1.40697 - 5.02789i) q^{65} +(-0.407304 + 5.85862i) q^{66} +(1.55734 + 5.81205i) q^{67} +(2.18353 + 8.14906i) q^{68} +(-2.10562 - 0.146387i) q^{69} +(-2.96856 + 10.2294i) q^{70} -6.80320 q^{71} +(0.502540 + 4.06579i) q^{72} +(-6.00318 + 6.00318i) q^{73} +(-13.8421 + 7.99176i) q^{74} +(8.24982 + 2.63446i) q^{75} +(-5.14238 - 2.96896i) q^{76} +(-4.39184 + 2.35330i) q^{77} +(-2.36778 + 6.88554i) q^{78} +(-13.8204 + 7.97921i) q^{79} +(-5.63040 - 9.50783i) q^{80} +(2.19136 + 8.72914i) q^{81} +(12.1371 + 12.1371i) q^{82} +(-10.3282 - 2.76745i) q^{83} +(4.40851 - 3.59639i) q^{84} +(10.8624 + 10.6249i) q^{85} +(-2.81048 + 4.86789i) q^{86} +(5.97112 - 1.16316i) q^{87} +(0.665610 - 2.48409i) q^{88} -9.29108 q^{89} +(-7.38237 - 9.55872i) q^{90} +(-6.01480 + 1.40898i) q^{91} +(-1.46139 - 0.391578i) q^{92} +(2.72211 + 3.12888i) q^{93} +(3.43649 - 5.95217i) q^{94} +(-10.6939 + 0.118225i) q^{95} +(-0.740689 + 10.6540i) q^{96} +(-2.99388 + 11.1733i) q^{97} +(11.9424 + 4.02653i) q^{98} +(0.781786 - 5.59539i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 176 q - 4 q^{2} - 2 q^{7} - 32 q^{8}+O(q^{10}) \) 176 * q - 4 * q^2 - 2 * q^7 - 32 * q^8	\( 176 q - 4 q^{2} - 2 q^{7} - 32 q^{8} - 12 q^{11} - 20 q^{15} + 56 q^{16} - 8 q^{18} + 12 q^{22} - 12 q^{23} - 4 q^{25} - 32 q^{28} - 56 q^{30} + 48 q^{32} - 8 q^{35} - 80 q^{36} - 16 q^{37} + 38 q^{42} - 4 q^{43} - 80 q^{46} - 76 q^{50} - 28 q^{51} + 64 q^{53} - 52 q^{56} - 112 q^{57} - 44 q^{58} - 40 q^{60} + 24 q^{63} + 20 q^{65} - 4 q^{67} + 18 q^{70} - 64 q^{71} - 20 q^{72} + 26 q^{77} + 76 q^{78} - 64 q^{81} - 4 q^{85} + 80 q^{86} - 60 q^{88} - 16 q^{91} - 68 q^{92} + 88 q^{93} + 40 q^{95} - 120 q^{98}+O(q^{100}) \) 176 * q - 4 * q^2 - 2 * q^7 - 32 * q^8 - 12 * q^11 - 20 * q^15 + 56 * q^16 - 8 * q^18 + 12 * q^22 - 12 * q^23 - 4 * q^25 - 32 * q^28 - 56 * q^30 + 48 * q^32 - 8 * q^35 - 80 * q^36 - 16 * q^37 + 38 * q^42 - 4 * q^43 - 80 * q^46 - 76 * q^50 - 28 * q^51 + 64 * q^53 - 52 * q^56 - 112 * q^57 - 44 * q^58 - 40 * q^60 + 24 * q^63 + 20 * q^65 - 4 * q^67 + 18 * q^70 - 64 * q^71 - 20 * q^72 + 26 * q^77 + 76 * q^78 - 64 * q^81 - 4 * q^85 + 80 * q^86 - 60 * q^88 - 16 * q^91 - 68 * q^92 + 88 * q^93 + 40 * q^95 - 120 * q^98

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