LMFDB - Embedded newform 315.2.cb.a.13.13

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			13.13
Character	$\chi$	$=$	315.13
Dual form			315.2.cb.a.97.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.44975 - 0.388459i) q^{2} +(-0.181894 - 1.72247i) q^{3} +(0.218820 + 0.126336i) q^{4} +(2.12297 + 0.702131i) q^{5} +(-0.405409 + 2.56781i) q^{6} +(0.203685 + 2.63790i) q^{7} +(1.85442 + 1.85442i) q^{8} +(-2.93383 + 0.626616i) q^{9} +O(q^{10})$	\(q+(-1.44975 - 0.388459i) q^{2} +(-0.181894 - 1.72247i) q^{3} +(0.218820 + 0.126336i) q^{4} +(2.12297 + 0.702131i) q^{5} +(-0.405409 + 2.56781i) q^{6} +(0.203685 + 2.63790i) q^{7} +(1.85442 + 1.85442i) q^{8} +(-2.93383 + 0.626616i) q^{9} +(-2.80503 - 1.84260i) q^{10} +(1.50520 + 2.60709i) q^{11} +(0.177808 - 0.399891i) q^{12} +(1.45210 + 5.41932i) q^{13} +(0.729423 - 3.90341i) q^{14} +(0.823246 - 3.78448i) q^{15} +(-2.22075 - 3.84645i) q^{16} +(1.04847 + 1.04847i) q^{17} +(4.49673 + 0.231236i) q^{18} -7.21291 q^{19} +(0.375844 + 0.421848i) q^{20} +(4.50666 - 0.830661i) q^{21} +(-1.16942 - 4.36433i) q^{22} +(5.45189 - 1.46083i) q^{23} +(2.85688 - 3.53150i) q^{24} +(4.01402 + 2.98121i) q^{25} -8.42074i q^{26} +(1.61298 + 4.93946i) q^{27} +(-0.288691 + 0.602958i) q^{28} +(4.88990 - 2.82318i) q^{29} +(-2.66361 + 5.16674i) q^{30} +(-4.98189 - 2.87630i) q^{31} +(0.367810 + 1.37268i) q^{32} +(4.21685 - 3.06689i) q^{33} +(-1.11273 - 1.92730i) q^{34} +(-1.41973 + 5.74320i) q^{35} +(-0.721144 - 0.233531i) q^{36} +(2.33216 - 2.33216i) q^{37} +(10.4569 + 2.80192i) q^{38} +(9.07051 - 3.48695i) q^{39} +(2.63484 + 5.23893i) q^{40} +(3.05504 + 1.76383i) q^{41} +(-6.85620 - 0.546403i) q^{42} +(-0.793762 + 2.96236i) q^{43} +0.760643i q^{44} +(-6.66840 - 0.729644i) q^{45} -8.47134 q^{46} +(-1.57778 + 5.88834i) q^{47} +(-6.22147 + 4.52483i) q^{48} +(-6.91702 + 1.07460i) q^{49} +(-4.66125 - 5.88129i) q^{50} +(1.61525 - 1.99667i) q^{51} +(-0.366905 + 1.36931i) q^{52} +(-6.84756 - 6.84756i) q^{53} +(-0.419632 - 7.78756i) q^{54} +(1.36499 + 6.59162i) q^{55} +(-4.51406 + 5.26950i) q^{56} +(1.31199 + 12.4240i) q^{57} +(-8.18581 + 2.19338i) q^{58} +(2.39004 - 4.13968i) q^{59} +(0.658257 - 0.724114i) q^{60} +(5.10293 - 2.94618i) q^{61} +(6.10517 + 6.10517i) q^{62} +(-2.25053 - 7.61151i) q^{63} +6.75007i q^{64} +(-0.722302 + 12.5246i) q^{65} +(-7.30473 + 2.80814i) q^{66} +(-0.865752 - 3.23103i) q^{67} +(0.0969666 + 0.361884i) q^{68} +(-3.50791 - 9.12501i) q^{69} +(4.28926 - 7.77469i) q^{70} -7.34107 q^{71} +(-6.60257 - 4.27854i) q^{72} +(3.61212 - 3.61212i) q^{73} +(-4.28699 + 2.47509i) q^{74} +(4.40493 - 7.45631i) q^{75} +(-1.57833 - 0.911248i) q^{76} +(-6.57065 + 4.50160i) q^{77} +(-14.5045 + 1.53169i) q^{78} +(8.69380 - 5.01937i) q^{79} +(-2.01388 - 9.72517i) q^{80} +(8.21470 - 3.67677i) q^{81} +(-3.74386 - 3.74386i) q^{82} +(0.559080 + 0.149805i) q^{83} +(1.09109 + 0.387587i) q^{84} +(1.48970 + 2.96203i) q^{85} +(2.30151 - 3.98633i) q^{86} +(-5.75230 - 7.90920i) q^{87} +(-2.04336 + 7.62592i) q^{88} +0.259914 q^{89} +(9.38407 + 3.64820i) q^{90} +(-13.9999 + 4.93434i) q^{91} +(1.37754 + 0.369110i) q^{92} +(-4.04817 + 9.10436i) q^{93} +(4.57476 - 7.92371i) q^{94} +(-15.3128 - 5.06441i) q^{95} +(2.29751 - 0.883226i) q^{96} +(-3.32166 + 12.3966i) q^{97} +(10.4454 + 1.12908i) q^{98} +(-6.04965 - 6.70556i) 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 $

$2$	−1.44975	−	0.388459i	−1.02513	−	0.274682i	−0.293190	−	0.956054i	$-0.594717\pi$
$2$	−1.44975	−	0.388459i	−1.02513	−	0.274682i	−0.731937	+	0.681372i	$0.761384\pi$
$3$	−0.181894	−	1.72247i	−0.105017	−	0.994470i
$3$	−0.181894	−	1.72247i	−0.105017	−	0.994470i
$4$	0.218820	+	0.126336i	0.109410	+	0.0631679i
$5$	2.12297	+	0.702131i	0.949422	+	0.314003i
$5$	2.12297	+	0.702131i	0.949422	+	0.314003i
$6$	−0.405409	+	2.56781i	−0.165508	+	1.04830i
$7$	0.203685	+	2.63790i	0.0769858	+	0.997032i
$7$	0.203685	+	2.63790i	0.0769858	+	0.997032i
$8$	1.85442	+	1.85442i	0.655637	+	0.655637i
$9$	−2.93383	+	0.626616i	−0.977943	+	0.208872i
$10$	−2.80503	−	1.84260i	−0.887027	−	0.582682i
$11$	1.50520	+	2.60709i	0.453836	+	0.786066i	0.998620	−	0.0525096i	$-0.0167220\pi$
$11$	1.50520	+	2.60709i	0.453836	+	0.786066i	−0.544785	+	0.838576i	$0.683389\pi$
$12$	0.177808	−	0.399891i	0.0513287	−	0.115439i
$13$	1.45210	+	5.41932i	0.402741	+	1.50305i	0.808184	+	0.588930i	$0.200451\pi$
$13$	1.45210	+	5.41932i	0.402741	+	1.50305i	−0.405443	+	0.914120i	$0.632883\pi$
$14$	0.729423	−	3.90341i	0.194947	−	1.04323i
$15$	0.823246	−	3.78448i	0.212561	−	0.977148i
$16$	−2.22075	−	3.84645i	−0.555188	−	0.961613i
$17$	1.04847	+	1.04847i	0.254291	+	0.254291i	0.822727	−	0.568437i	$-0.192452\pi$
$17$	1.04847	+	1.04847i	0.254291	+	0.254291i	−0.568437	+	0.822727i	$0.692452\pi$
$18$	4.49673	+	0.231236i	1.05989	+	0.0545028i
$19$	−7.21291			−1.65475			−0.827377	−	0.561646i	$-0.810168\pi$
$19$	−7.21291			−1.65475			−0.827377	+	0.561646i	$0.810168\pi$
$20$	0.375844	+	0.421848i	0.0840414	+	0.0943280i
$21$	4.50666	−	0.830661i	0.983434	−	0.181265i
$22$	−1.16942	−	4.36433i	−0.249321	−	0.930478i
$23$	5.45189	−	1.46083i	1.13680	−	0.304604i	0.359134	−	0.933286i	$-0.383072\pi$
$23$	5.45189	−	1.46083i	1.13680	−	0.304604i	0.777663	+	0.628682i	$0.216405\pi$
$24$	2.85688	−	3.53150i	0.583159	−	0.720865i
$25$	4.01402	+	2.98121i	0.802805	+	0.596242i
$26$		−	8.42074i		−	1.65144i
$27$	1.61298	+	4.93946i	0.310418	+	0.950600i
$28$	−0.288691	+	0.602958i	−0.0545574	+	0.113948i
$29$	4.88990	−	2.82318i	0.908031	−	0.524252i	0.0282341	−	0.999601i	$-0.491012\pi$
$29$	4.88990	−	2.82318i	0.908031	−	0.524252i	0.879797	+	0.475349i	$0.157678\pi$
$30$	−2.66361	+	5.16674i	−0.486307	+	0.943314i
$31$	−4.98189	−	2.87630i	−0.894775	−	0.516598i	−0.0192734	−	0.999814i	$-0.506135\pi$
$31$	−4.98189	−	2.87630i	−0.894775	−	0.516598i	−0.875501	+	0.483216i	$0.839469\pi$
$32$	0.367810	+	1.37268i	0.0650202	+	0.242659i
$33$	4.21685	−	3.06689i	0.734059	−	0.533876i
$34$	−1.11273	−	1.92730i	−0.190831	−	0.330529i
$35$	−1.41973	+	5.74320i	−0.239979	+	0.970778i
$36$	−0.721144	−	0.233531i	−0.120191	−	0.0389219i
$37$	2.33216	−	2.33216i	0.383404	−	0.383404i	−0.488923	−	0.872327i	$-0.662610\pi$
$37$	2.33216	−	2.33216i	0.383404	−	0.383404i	0.872327	+	0.488923i	$0.162610\pi$
$38$	10.4569	+	2.80192i	1.69633	+	0.454531i
$39$	9.07051	−	3.48695i	1.45244	−	0.558359i
$40$	2.63484	+	5.23893i	0.416604	+	0.828348i
$41$	3.05504	+	1.76383i	0.477117	+	0.275464i	0.719214	−	0.694788i	$-0.244502\pi$
$41$	3.05504	+	1.76383i	0.477117	+	0.275464i	−0.242097	+	0.970252i	$0.577835\pi$
$42$	−6.85620	−	0.546403i	−1.05794	−	0.0843118i
$43$	−0.793762	+	2.96236i	−0.121048	+	0.451755i	−0.999668	−	0.0257652i	$-0.991798\pi$
$43$	−0.793762	+	2.96236i	−0.121048	+	0.451755i	0.878621	+	0.477521i	$0.158464\pi$
$44$			0.760643i			0.114671i
$45$	−6.66840	−	0.729644i	−0.994067	−	0.108769i
$46$	−8.47134			−1.24903
$47$	−1.57778	+	5.88834i	−0.230142	+	0.858903i	0.750137	+	0.661283i	$0.229988\pi$
$47$	−1.57778	+	5.88834i	−0.230142	+	0.858903i	−0.980279	+	0.197620i	$0.936679\pi$
$48$	−6.22147	+	4.52483i	−0.897992	+	0.653103i
$49$	−6.91702	+	1.07460i	−0.988146	+	0.153515i
$50$	−4.66125	−	5.88129i	−0.659200	−	0.831740i
$51$	1.61525	−	1.99667i	0.226180	−	0.279589i
$52$	−0.366905	+	1.36931i	−0.0508806	+	0.189889i
$53$	−6.84756	−	6.84756i	−0.940585	−	0.940585i	0.0577465	−	0.998331i	$-0.481608\pi$
$53$	−6.84756	−	6.84756i	−0.940585	−	0.940585i	−0.998331	+	0.0577465i	$0.981608\pi$
$54$	−0.419632	−	7.78756i	−0.0571047	−	1.05975i
$55$	1.36499	+	6.59162i	0.184055	+	0.888814i
$56$	−4.51406	+	5.26950i	−0.603217	+	0.704166i
$57$	1.31199	+	12.4240i	0.173777	+	1.64560i
$58$	−8.18581	+	2.19338i	−1.07485	+	0.288005i
$59$	2.39004	−	4.13968i	0.311157	−	0.538940i	−0.667456	−	0.744649i	$-0.732617\pi$
$59$	2.39004	−	4.13968i	0.311157	−	0.538940i	0.978613	+	0.205709i	$0.0659501\pi$
$60$	0.658257	−	0.724114i	0.0849807	−	0.0934827i
$61$	5.10293	−	2.94618i	0.653364	−	0.377220i	−0.136380	−	0.990657i	$-0.543547\pi$
$61$	5.10293	−	2.94618i	0.653364	−	0.377220i	0.789744	+	0.613437i	$0.210214\pi$
$62$	6.10517	+	6.10517i	0.775358	+	0.775358i
$63$	−2.25053	−	7.61151i	−0.283540	−	0.958960i
$64$			6.75007i			0.843759i
$65$	−0.722302	+	12.5246i	−0.0895906	+	1.55349i
$66$	−7.30473	+	2.80814i	−0.899150	+	0.345658i
$67$	−0.865752	−	3.23103i	−0.105768	−	0.394733i	0.892663	−	0.450725i	$-0.148835\pi$
$67$	−0.865752	−	3.23103i	−0.105768	−	0.394733i	−0.998431	+	0.0559921i	$0.982168\pi$
$68$	0.0969666	+	0.361884i	0.0117589	+	0.0438849i
$69$	−3.50791	−	9.12501i	−0.422302	−	1.09852i
$70$	4.28926	−	7.77469i	0.512664	−	0.929253i
$71$	−7.34107			−0.871225			−0.435613	−	0.900134i	$-0.643468\pi$
$71$	−7.34107			−0.871225			−0.435613	+	0.900134i	$0.643468\pi$
$72$	−6.60257	−	4.27854i	−0.778120	−	0.504231i
$73$	3.61212	−	3.61212i	0.422767	−	0.422767i	−0.463389	−	0.886155i	$-0.653367\pi$
$73$	3.61212	−	3.61212i	0.422767	−	0.422767i	0.886155	+	0.463389i	$0.153367\pi$
$74$	−4.28699	+	2.47509i	−0.498352	+	0.287724i
$75$	4.40493	−	7.45631i	0.508637	−	0.860981i
$76$	−1.57833	−	0.911248i	−0.181047	−	0.104527i
$77$	−6.57065	+	4.50160i	−0.748795	+	0.513005i
$78$	−14.5045	+	1.53169i	−1.64231	+	0.173429i
$79$	8.69380	−	5.01937i	0.978128	−	0.564723i	0.0764239	−	0.997075i	$-0.475650\pi$
$79$	8.69380	−	5.01937i	0.978128	−	0.564723i	0.901705	+	0.432353i	$0.142316\pi$
$80$	−2.01388	−	9.72517i	−0.225158	−	1.08731i
$81$	8.21470	−	3.67677i	0.912745	−	0.408530i
$82$	−3.74386	−	3.74386i	−0.413441	−	0.413441i
$83$	0.559080	+	0.149805i	0.0613670	+	0.0164432i	0.289372	−	0.957217i	$-0.406554\pi$
$83$	0.559080	+	0.149805i	0.0613670	+	0.0164432i	−0.228005	+	0.973660i	$0.573220\pi$
$84$	1.09109	+	0.387587i	0.119048	+	0.0422892i
$85$	1.48970	+	2.96203i	0.161581	+	0.321277i
$86$	2.30151	−	3.98633i	0.248178	−	0.429857i
$87$	−5.75230	−	7.90920i	−0.616712	−	0.847955i
$88$	−2.04336	+	7.62592i	−0.217823	+	0.812926i
$89$	0.259914			0.0275508			0.0137754	−	0.999905i	$-0.495615\pi$
$89$	0.259914			0.0275508			0.0137754	+	0.999905i	$0.495615\pi$
$90$	9.38407	+	3.64820i	0.989168	+	0.384554i
$91$	−13.9999	+	4.93434i	−1.46758	+	0.517259i
$92$	1.37754	+	0.369110i	0.143618	+	0.0384824i
$93$	−4.04817	+	9.10436i	−0.419776	+	0.944078i
$94$	4.57476	−	7.92371i	0.471850	−	0.817268i
$95$	−15.3128	−	5.06441i	−1.57106	−	0.519598i
$96$	2.29751	−	0.883226i	0.234489	−	0.0901439i
$97$	−3.32166	+	12.3966i	−0.337263	+	1.25868i	0.564131	+	0.825685i	$0.309211\pi$
$97$	−3.32166	+	12.3966i	−0.337263	+	1.25868i	−0.901395	+	0.432999i	$0.857456\pi$
$98$	10.4454	+	1.12908i	1.05514	+	0.114054i
$99$	−6.04965	−	6.70556i	−0.608013	−	0.673934i
$100$	0.501715	+	1.15946i	0.0501715	+	0.115946i
$101$	−2.10970	+	1.21804i	−0.209923	+	0.121199i	−0.601276	−	0.799042i	$-0.705341\pi$
$101$	−2.10970	+	1.21804i	−0.209923	+	0.121199i	0.391352	+	0.920241i	$0.372007\pi$
$102$	−3.11732	+	2.26721i	−0.308661	+	0.224487i
$103$	−1.28804	−	4.80703i	−0.126914	−	0.473651i	0.872986	−	0.487745i	$-0.162180\pi$
$103$	−1.28804	−	4.80703i	−0.126914	−	0.473651i	−0.999901	+	0.0140938i	$0.995514\pi$
$104$	−7.35690	+	12.7425i	−0.721403	+	1.24951i
$105$	10.1508	+	1.40080i	0.990612	+	0.136704i
$106$	7.26725	+	12.5872i	0.705857	+	1.22258i
$107$	−2.36251	+	2.36251i	−0.228392	+	0.228392i	−0.812021	−	0.583628i	$-0.801632\pi$
$107$	−2.36251	+	2.36251i	−0.228392	+	0.228392i	0.583628	+	0.812021i	$0.301632\pi$
$108$	−0.271079	+	1.28463i	−0.0260846	+	0.123614i
$109$			19.8506i			1.90134i	0.310197	+	0.950672i	$0.399605\pi$
$109$			19.8506i			1.90134i	−0.310197	+	0.950672i	$0.600395\pi$
$110$	0.581690	−	10.0864i	0.0554620	−	0.961704i
$111$	−4.44128	−	3.59287i	−0.421548	−	0.341020i
$112$	9.69422	−	6.64158i	0.916018	−	0.627570i
$113$	13.4552	−	3.60530i	1.26576	−	0.339159i	0.437353	−	0.899290i	$-0.355916\pi$
$113$	13.4552	−	3.60530i	1.26576	−	0.339159i	0.828404	+	0.560131i	$0.189249\pi$
$114$	2.92418	−	18.5214i	0.273875	−	1.73469i
$115$	12.5999	+	0.726642i	1.17495	+	0.0677598i
$116$	1.42668			0.132464
$117$	−7.65606	−	14.9895i	−0.707803	−	1.38578i
$118$	−5.07306	+	5.07306i	−0.467013	+	0.467013i
$119$	−2.55219	+	2.97931i	−0.233959	+	0.273113i
$120$	8.54466	−	5.49137i	0.780017	−	0.501291i
$121$	0.968732	−	1.67789i	0.0880665	−	0.152536i
$122$	−8.54244	+	2.28894i	−0.773396	+	0.207231i
$123$	2.48245	−	5.58305i	0.223835	−	0.503407i
$124$	−0.726759	−	1.25878i	−0.0652648	−	0.113042i
$125$	6.42846	+	9.14740i	0.574979	+	0.818168i
$126$	0.305940	+	11.9090i	0.0272553	+	1.06094i
$127$	3.90612	−	3.90612i	0.346612	−	0.346612i	−0.512234	−	0.858846i	$-0.671182\pi$
$127$	3.90612	−	3.90612i	0.346612	−	0.346612i	0.858846	+	0.512234i	$0.171182\pi$
$128$	3.35775	−	12.5313i	0.296786	−	1.10762i
$129$	5.24696	+	0.828397i	0.461969	+	0.0729363i
$130$	5.91247	−	17.8770i	0.518558	−	1.56792i
$131$	−0.235360	−	0.135885i	−0.0205635	−	0.0118724i	0.489683	−	0.871901i	$-0.337113\pi$
$131$	−0.235360	−	0.135885i	−0.0205635	−	0.0118724i	−0.510247	+	0.860028i	$0.670446\pi$
$132$	1.31019	−	0.138357i	0.114037	−	0.0120424i
$133$	−1.46916	−	19.0269i	−0.127393	−	1.64984i
$134$			5.02049i			0.433704i
$135$	−0.0438479	+	11.6189i	−0.00377383	+	0.999993i
$136$			3.88860i			0.333445i
$137$	5.09921	+	1.36633i	0.435655	+	0.116733i	0.469979	−	0.882677i	$-0.344261\pi$
$137$	5.09921	+	1.36633i	0.435655	+	0.116733i	−0.0343246	+	0.999411i	$0.510928\pi$
$138$	1.54089	+	14.5917i	0.131169	+	1.24212i
$139$	6.88691	−	11.9285i	0.584140	−	1.01176i	−0.410842	−	0.911706i	$-0.634765\pi$
$139$	6.88691	−	11.9285i	0.584140	−	1.01176i	0.994982	−	0.100053i	$-0.0319014\pi$
$140$	−1.03624	+	1.07736i	−0.0875781	+	0.0910538i
$141$	10.4295	+	1.64662i	0.878322	+	0.138670i
$142$	10.6427	+	2.85171i	0.893116	+	0.239310i
$143$	−11.9429	+	11.9429i	−0.998719	+	0.998719i
$144$	8.92555	+	9.89327i	0.743796	+	0.824439i
$145$	12.3634	−	2.56019i	1.02672	−	0.212612i
$146$	−6.63983	+	3.83351i	−0.549516	+	0.317263i
$147$	3.10914	+	11.7189i	0.256438	+	0.966561i
$148$	0.804957	−	0.215688i	0.0661670	−	0.0177294i
$149$	16.0919	+	9.29066i	1.31830	+	0.761120i	0.983455	−	0.181153i	$-0.0579830\pi$
$149$	16.0919	+	9.29066i	1.31830	+	0.761120i	0.334844	+	0.942274i	$0.391316\pi$
$150$	−9.28251	+	9.09865i	−0.757914	+	0.742901i
$151$	−7.74118	−	13.4081i	−0.629969	−	1.09114i	−0.987557	−	0.157258i	$-0.949734\pi$
$151$	−7.74118	−	13.4081i	−0.629969	−	1.09114i	0.357589	−	0.933879i	$-0.383599\pi$
$152$	−13.3758	−	13.3758i	−1.08492	−	1.08492i
$153$	−3.73301	−	2.41904i	−0.301796	−	0.195567i
$154$	11.2745	−	3.97376i	0.908523	−	0.320215i
$155$	−8.55688	−	9.60425i	−0.687306	−	0.771432i
$156$	2.42534	+	0.382915i	0.194182	+	0.0306577i
$157$	8.05187	−	2.15749i	0.642609	−	0.172187i	0.0772243	−	0.997014i	$-0.475394\pi$
$157$	8.05187	−	2.15749i	0.642609	−	0.172187i	0.565385	+	0.824827i	$0.308728\pi$
$158$	−14.5536	+	3.89964i	−1.15783	+	0.310238i
$159$	−10.5492	+	13.0403i	−0.836607	+	1.03416i
$160$	−0.182955	+	3.17242i	−0.0144639	+	0.250802i
$161$	4.96399	+	14.0840i	0.391217	+	1.10997i
$162$	−13.3375	+	2.13932i	−1.04790	+	0.168081i
$163$	5.84122	+	5.84122i	0.457520	+	0.457520i	0.897841	−	0.440321i	$-0.145135\pi$
$163$	5.84122	+	5.84122i	0.457520	+	0.457520i	−0.440321	+	0.897841i	$0.645135\pi$
$164$	0.445669	+	0.771921i	0.0348009	+	0.0602769i
$165$	11.1056	−	3.55013i	0.864571	−	0.276377i
$166$	−0.752332	−	0.434359i	−0.0583923	−	0.0337128i
$167$	5.69220	−	1.52522i	0.440475	−	0.118025i	−0.0317639	−	0.999495i	$-0.510112\pi$
$167$	5.69220	−	1.52522i	0.440475	−	0.118025i	0.472239	+	0.881470i	$0.343446\pi$
$168$	9.89765	+	6.81686i	0.763620	+	0.525932i
$169$	−16.0021	+	9.23884i	−1.23093	+	0.710680i
$170$	−1.00907	−	4.87288i	−0.0773922	−	0.373733i
$171$	21.1614	−	4.51973i	1.61826	−	0.345632i
$172$	−0.547943	+	0.547943i	−0.0417802	+	0.0417802i
$173$	−1.29400	−	0.346725i	−0.0983808	−	0.0263610i	0.209293	−	0.977853i	$-0.432884\pi$
$173$	−1.29400	−	0.346725i	−0.0983808	−	0.0263610i	−0.307674	+	0.951492i	$0.599550\pi$
$174$	5.26700	+	13.7009i	0.399290	+	1.03866i
$175$	−7.04654	+	11.1958i	−0.532668	+	0.846324i
$176$	6.68536	−	11.5794i	0.503928	−	0.872828i
$177$	−7.56522	−	3.36380i	−0.568637	−	0.252839i
$178$	−0.376810	−	0.100966i	−0.0282431	−	0.00756772i
$179$		−	15.1327i		−	1.13107i	−0.824724	−	0.565535i	$-0.808670\pi$
$179$		−	15.1327i		−	1.13107i	0.824724	−	0.565535i	$-0.191330\pi$
$180$	−1.36700	−	1.00212i	−0.101890	−	0.0746935i
$181$		−	17.1083i		−	1.27165i	−0.771834	−	0.635825i	$-0.780660\pi$
$181$		−	17.1083i		−	1.27165i	0.771834	−	0.635825i	$-0.219340\pi$
$182$	22.2131	−	1.71518i	1.64654	−	0.127138i
$183$	−6.00291	−	8.25377i	−0.443748	−	0.610136i
$184$	12.8191	+	7.40110i	0.945036	+	0.545617i
$185$	6.58858	−	3.31362i	0.484402	−	0.243622i
$186$	9.40550	−	11.6265i	0.689645	−	0.852496i
$187$	−1.15529	+	4.31160i	−0.0844831	+	0.315295i
$188$	−1.08916	+	1.08916i	−0.0794349	+	0.0794349i
$189$	−12.7013	+	5.26097i	−0.923881	+	0.382679i
$190$	20.2324	+	13.2905i	1.46781	+	0.964196i
$191$	−5.33828	−	9.24617i	−0.386264	−	0.669029i	0.605679	−	0.795709i	$-0.292901\pi$
$191$	−5.33828	−	9.24617i	−0.386264	−	0.669029i	−0.991944	+	0.126679i	$0.959568\pi$
$192$	11.6268	−	1.22780i	0.839094	−	0.0886089i
$193$	−18.9654	+	5.08177i	−1.36516	+	0.365793i	−0.865709	−	0.500548i	$-0.833132\pi$
$193$	−18.9654	+	5.08177i	−1.36516	+	0.365793i	−0.499451	+	0.866342i	$0.666465\pi$
$194$	9.63114	−	16.6816i	0.691475	−	1.19767i
$195$	21.7047	−	1.03402i	1.55431	−	0.0740474i
$196$	−1.64934	−	0.638723i	−0.117810	−	0.0456231i
$197$	6.33933	−	6.33933i	0.451659	−	0.451659i	−0.444246	−	0.895905i	$-0.646528\pi$
$197$	6.33933	−	6.33933i	0.451659	−	0.451659i	0.895905	+	0.444246i	$0.146528\pi$
$198$	6.16564	+	12.0714i	0.438173	+	0.857879i
$199$	−20.6723			−1.46542			−0.732710	−	0.680541i	$-0.761745\pi$
$199$	−20.6723			−1.46542			−0.732710	+	0.680541i	$0.761745\pi$
$200$	1.91527	+	12.9721i	0.135430	+	0.917267i
$201$	−5.40789	+	2.07894i	−0.381443	+	0.146637i
$202$	3.53170	−	0.946315i	0.248489	−	0.0665825i
$203$	8.44327	+	12.3240i	0.592602	+	0.864976i
$204$	0.605698	−	0.232847i	0.0424074	−	0.0163026i
$205$	5.24732	+	5.88960i	0.366489	+	0.411347i
$206$			7.46934i			0.520413i
$207$	−15.0795	+	7.70206i	−1.04810	+	0.535330i
$208$	17.6204	−	17.6204i	1.22176	−	1.22176i
$209$	−10.8569	−	18.8047i	−0.750987	−	1.30075i
$210$	−14.1719	−	5.97396i	−0.977953	−	0.412242i
$211$	−4.00114	+	6.93018i	−0.275450	+	0.477094i	−0.970249	−	0.242111i	$-0.922160\pi$
$211$	−4.00114	+	6.93018i	−0.275450	+	0.477094i	0.694798	+	0.719204i	$0.255494\pi$
$212$	−0.633291	−	2.36347i	−0.0434946	−	0.162324i
$213$	1.33530	+	12.6448i	0.0914932	+	0.866408i
$214$	4.34278	−	2.50731i	0.296866	−	0.171396i
$215$	−3.76510	+	5.73168i	−0.256778	+	0.390897i
$216$	−6.16871	+	12.1510i	−0.419728	+	0.826770i
$217$	6.57265	−	13.7276i	0.446180	−	0.931890i
$218$	7.71115	−	28.7784i	0.522265	−	1.94912i
$219$	−6.87881	−	5.56476i	−0.464827	−	0.376031i
$220$	−0.534072	+	1.61482i	−0.0360071	+	0.108871i
$221$	−4.15950	+	7.20446i	−0.279798	+	0.484625i
$222$	5.04306	+	6.93402i	0.338468	+	0.465381i
$223$	−7.17043	−	1.92131i	−0.480168	−	0.128661i	0.0106130	−	0.999944i	$-0.496622\pi$
$223$	−7.17043	−	1.92131i	−0.480168	−	0.128661i	−0.490781	+	0.871283i	$0.663288\pi$
$224$	−3.54609	+	1.24984i	−0.236933	+	0.0835085i
$225$	−13.6445	−	6.23111i	−0.909635	−	0.415407i
$226$	−20.9071			−1.39072
$227$	2.44604	−	9.12876i	0.162350	−	0.605897i	−0.836014	−	0.548709i	$-0.815120\pi$
$227$	2.44604	−	9.12876i	0.162350	−	0.605897i	0.998363	−	0.0571887i	$-0.0182137\pi$
$228$	−1.28251	+	2.88438i	−0.0849364	+	0.191023i
$229$	−2.96181	+	5.13000i	−0.195722	+	0.339000i	−0.947137	−	0.320830i	$-0.896038\pi$
$229$	−2.96181	+	5.13000i	−0.195722	+	0.339000i	0.751415	+	0.659830i	$0.229372\pi$
$230$	−17.9844	−	5.94799i	−1.18586	−	0.392199i
$231$	8.94904	+	10.4989i	0.588804	+	0.690780i
$232$	14.3033	+	3.83256i	0.939058	+	0.251620i
$233$	6.93556	+	6.93556i	0.454364	+	0.454364i	0.896800	−	0.442436i	$-0.145886\pi$
$233$	6.93556	+	6.93556i	0.454364	+	0.454364i	−0.442436	+	0.896800i	$0.645886\pi$
$234$	5.27657	+	24.7050i	0.344940	+	1.61502i
$235$	−7.48396	+	11.3930i	−0.488200	+	0.743196i
$236$	1.04598	−	0.603896i	0.0680874	−	0.0393103i
$237$	−10.2271	−	14.0618i	−0.664320	−	0.913414i
$238$	4.85738	−	3.32782i	0.314857	−	0.215711i
$239$	−12.0682	−	6.96756i	−0.780625	−	0.450694i	0.0560266	−	0.998429i	$-0.482157\pi$
$239$	−12.0682	−	6.96756i	−0.780625	−	0.450694i	−0.836652	+	0.547735i	$0.815490\pi$
$240$	−16.3850	+	5.23780i	−1.05765	+	0.338099i
$241$	−11.0801	+	6.39710i	−0.713732	+	0.412073i	−0.812441	−	0.583043i	$-0.801862\pi$
$241$	−11.0801	+	6.39710i	−0.713732	+	0.412073i	0.0987094	+	0.995116i	$0.468529\pi$
$242$	−2.05621	+	2.05621i	−0.132178	+	0.132178i
$243$	−7.82735	−	13.4808i	−0.502125	−	0.864795i
$244$	1.48883			0.0953127
$245$	−15.4392	−	2.57531i	−0.986372	−	0.164531i
$246$	−5.76772	+	7.12969i	−0.367736	+	0.454573i
$247$	−10.4739	−	39.0891i	−0.666438	−	2.48718i
$248$	−3.90466	−	14.5724i	−0.247946	−	0.925349i
$249$	0.156342	−	0.990249i	0.00990775	−	0.0627545i
$250$	−5.76626	−	15.7586i	−0.364690	−	0.996663i
$251$		−	27.3432i		−	1.72589i	−0.505298	−	0.862945i	$-0.668617\pi$
$251$		−	27.3432i		−	1.72589i	0.505298	−	0.862945i	$-0.331383\pi$
$252$	0.469146	−	1.94987i	0.0295534	−	0.122830i
$253$	12.0147	+	12.0147i	0.755358	+	0.755358i
$254$	−7.18026	+	4.14553i	−0.450530	+	0.260113i
$255$	4.83104	−	3.10475i	0.302532	−	0.194427i
$256$	−2.98570	+	5.17139i	−0.186606	+	0.323212i
$257$	11.5126	−	3.08480i	0.718138	−	0.192425i	0.118797	−	0.992919i	$-0.462096\pi$
$257$	11.5126	−	3.08480i	0.718138	−	0.192425i	0.599341	+	0.800494i	$0.295429\pi$
$258$	−7.28498	−	3.23920i	−0.453543	−	0.201664i
$259$	6.62702	+	5.67697i	0.411783	+	0.352750i
$260$	−1.74036	+	2.64939i	−0.107933	+	0.164308i
$261$	−12.5771	+	11.3468i	−0.778501	+	0.702351i
$262$	0.288427	+	0.288427i	0.0178191	+	0.0178191i
$263$	−4.23331	+	15.7989i	−0.261037	+	0.974205i	0.703594	+	0.710602i	$0.251577\pi$
$263$	−4.23331	+	15.7989i	−0.261037	+	0.974205i	−0.964631	+	0.263602i	$0.915089\pi$
$264$	13.5071	+	2.13252i	0.831306	+	0.131247i
$265$	−9.72929	−	19.3451i	−0.597666	−	1.18836i
$266$	−5.26126	+	28.1550i	−0.322589	+	1.72629i
$267$	−0.0472769	−	0.447695i	−0.00289330	−	0.0273985i
$268$	0.218751	−	0.816389i	0.0133623	−	0.0498689i
$269$	−4.70963			−0.287151			−0.143576	−	0.989639i	$-0.545860\pi$
$269$	−4.70963			−0.287151			−0.143576	+	0.989639i	$0.545860\pi$
$270$	4.57702	−	16.8274i	0.278549	−	1.02408i
$271$			0.261497i			0.0158848i	0.999968	+	0.00794242i	$0.00252818\pi$
$271$			0.261497i			0.0158848i	−0.999968	+	0.00794242i	$0.997472\pi$
$272$	1.70449	−	6.36126i	0.103350	−	0.385708i
$273$	11.0458	+	23.2169i	0.668520	+	1.40515i
$274$	−6.86181	−	3.96167i	−0.414537	−	0.239333i
$275$	−1.73036	+	14.9522i	−0.104345	+	0.901654i
$276$	0.385216	−	2.43991i	0.0231873	−	0.146865i
$277$	−10.0347	−	2.68878i	−0.602924	−	0.161553i	−0.0555711	−	0.998455i	$-0.517698\pi$
$277$	−10.0347	−	2.68878i	−0.602924	−	0.161553i	−0.547353	+	0.836902i	$0.684365\pi$
$278$	−14.6180	+	14.6180i	−0.876730	+	0.876730i
$279$	16.4184	+	5.31683i	0.982942	+	0.318310i
$280$	−13.2831	+	8.01753i	−0.793817	+	0.479139i
$281$	−9.18006	−	15.9003i	−0.547636	−	0.948534i	−0.998436	−	0.0559087i	$-0.982194\pi$
$281$	−9.18006	−	15.9003i	−0.547636	−	0.948534i	0.450800	−	0.892625i	$-0.351139\pi$
$282$	−14.4805	−	6.43862i	−0.862301	−	0.383414i
$283$	−1.18238	−	4.41271i	−0.0702853	−	0.262308i	0.921838	−	0.387576i	$-0.126688\pi$
$283$	−1.18238	−	4.41271i	−0.0702853	−	0.262308i	−0.992123	+	0.125268i	$0.960021\pi$
$284$	−1.60637	−	0.927440i	−0.0953207	−	0.0550334i
$285$	−5.93800	+	27.2971i	−0.351737	+	1.61694i
$286$	21.9536	−	12.6749i	1.29814	−	0.749484i
$287$	−4.03053	+	8.41815i	−0.237915	+	0.496908i
$288$	−1.93924	−	3.79675i	−0.114271	−	0.223725i
$289$		−	14.8014i		−	0.870673i
$290$	−18.9183	−	1.09103i	−1.11092	−	0.0640674i
$291$	21.9570	+	3.46660i	1.28714	+	0.203215i
$292$	1.24674	−	0.334064i	0.0729602	−	0.0195496i
$293$	−6.27377	−	23.4140i	−0.366518	−	1.36786i	−0.865352	−	0.501165i	$-0.832905\pi$
$293$	−6.27377	−	23.4140i	−0.366518	−	1.36786i	0.498834	−	0.866697i	$-0.333762\pi$
$294$	0.0448488	−	18.1973i	0.00261564	−	1.06129i
$295$	7.98060	−	7.11030i	0.464648	−	0.413978i
$296$	8.64960			0.502748
$297$	−10.4498	+	11.6401i	−0.606356	+	0.675425i
$298$	−19.7202	−	19.7202i	−1.14236	−	1.14236i
$299$	15.8334	+	27.4243i	0.915670	+	1.58599i
$300$	1.90589	−	1.07509i	0.110036	−	0.0620703i
$301$	−7.97608	−	1.49047i	−0.459734	−	0.0859095i
$302$	6.01426	+	22.4455i	0.346082	+	1.29160i
$303$	2.48178	+	3.41235i	0.142575	+	0.196035i
$304$	16.0181	+	27.7441i	0.918699	+	1.59123i
$305$	12.9020	−	2.67173i	0.738766	−	0.152983i
$306$	4.47223	+	4.95711i	0.255660	+	0.283379i
$307$	−0.347114	−	0.347114i	−0.0198109	−	0.0198109i	0.697132	−	0.716943i	$-0.254459\pi$
$307$	−0.347114	−	0.347114i	−0.0198109	−	0.0198109i	−0.716943	+	0.697132i	$0.754459\pi$
$308$	−2.00650	+	0.154932i	−0.114331	+	0.00882806i
$309$	−8.04570	+	3.09299i	−0.457704	+	0.175954i
$310$	8.67448	+	17.2477i	0.492677	+	0.979606i
$311$	21.7696	+	12.5687i	1.23444	+	0.712706i	0.967953	−	0.251131i	$-0.0808026\pi$
$311$	21.7696	+	12.5687i	1.23444	+	0.712706i	0.266490	+	0.963838i	$0.414136\pi$
$312$	23.2868	+	10.3543i	1.31836	+	0.586195i
$313$	−11.4035	−	3.05557i	−0.644566	−	0.172711i	−0.0782951	−	0.996930i	$-0.524948\pi$
$313$	−11.4035	−	3.05557i	−0.644566	−	0.172711i	−0.566271	+	0.824219i	$0.691614\pi$
$314$	−12.5113			−0.706053
$315$	0.566473	−	17.7392i	0.0319171	−	0.999491i
$316$	2.53650			0.142689
$317$	−5.30450	−	1.42134i	−0.297931	−	0.0798303i	0.106757	−	0.994285i	$-0.465953\pi$
$317$	−5.30450	−	1.42134i	−0.297931	−	0.0798303i	−0.404688	+	0.914455i	$0.632620\pi$
$318$	20.3593	−	14.8072i	1.14169	−	0.830346i
$319$	14.7206	+	8.49893i	0.824194	+	0.475849i
$320$	−4.73944	+	14.3302i	−0.264943	+	0.801084i
$321$	4.49909	+	3.63963i	0.251114	+	0.203144i
$322$	−1.72549	−	22.3465i	−0.0961576	−	1.24532i
$323$	−7.56250	−	7.56250i	−0.420789	−	0.420789i
$324$	2.26205	+	0.233260i	0.125669	+	0.0129589i
$325$	−10.3274	+	26.0823i	−0.572860	+	1.44679i
$326$	−6.19923	−	10.7374i	−0.343343	−	0.594688i
$327$	34.1922	−	3.61072i	1.89083	−	0.199673i
$328$	2.39445	+	8.93621i	0.132211	+	0.493420i
$329$	−15.8542	−	2.96265i	−0.874071	−	0.163336i
$330$	−17.4794	+	0.832721i	−0.962211	+	0.0458398i
$331$	5.21617	+	9.03467i	0.286706	+	0.496590i	0.973022	−	0.230714i	$-0.0741062\pi$
$331$	5.21617	+	9.03467i	0.286706	+	0.496590i	−0.686315	+	0.727304i	$0.740773\pi$
$332$	0.103412	+	0.103412i	0.00567548	+	0.00567548i
$333$	−5.38078	+	8.30351i	−0.294865	+	0.455030i
$334$	−8.84474			−0.483963
$335$	0.430640	−	7.46726i	0.0235284	−	0.407980i
$336$	−13.2033	−	15.4900i	−0.720297	−	0.845047i
$337$	1.98461	+	7.40667i	0.108109	+	0.403467i	0.998679	−	0.0513780i	$-0.0163613\pi$
$337$	1.98461	+	7.40667i	0.108109	+	0.403467i	−0.890571	+	0.454845i	$0.849695\pi$
$338$	26.7880	−	7.17782i	1.45707	−	0.390422i
$339$	−8.65746	−	22.5204i	−0.470209	−	1.22314i
$340$	−0.0482329	+	0.836354i	−0.00261580	+	0.0453576i
$341$		−	17.3176i		−	0.937803i
$342$	−32.4345	−	1.66788i	−1.75386	−	0.0901888i
$343$	−4.24359	−	18.0275i	−0.229132	−	0.973395i
$344$	−6.96543	+	4.02149i	−0.375551	+	0.216824i
$345$	−1.04023	−	21.8352i	−0.0560040	−	1.17557i
$346$	1.74128	+	1.00533i	0.0936119	+	0.0540468i
$347$	8.43262	+	31.4710i	0.452687	+	1.68945i	0.694801	+	0.719202i	$0.255492\pi$
$347$	8.43262	+	31.4710i	0.452687	+	1.68945i	−0.242115	+	0.970248i	$0.577841\pi$
$348$	−0.259504	−	2.45741i	−0.0139109	−	0.131731i
$349$	11.1908	+	19.3830i	0.599028	+	1.03755i	0.992965	+	0.118409i	$0.0377795\pi$
$349$	11.1908	+	19.3830i	0.599028	+	1.03755i	−0.393937	+	0.919137i	$0.628887\pi$
$350$	14.5648	−	13.4938i	0.778523	−	0.721275i
$351$	−24.4263	+	15.9139i	−1.30378	+	0.849419i
$352$	−3.02508	+	3.02508i	−0.161237	+	0.161237i
$353$	−9.60326	−	2.57319i	−0.511130	−	0.136957i	−0.00596923	−	0.999982i	$-0.501900\pi$
$353$	−9.60326	−	2.57319i	−0.511130	−	0.136957i	−0.505161	+	0.863025i	$0.668567\pi$
$354$	9.66097	+	7.81545i	0.513475	+	0.415386i
$355$	−15.5849	−	5.15440i	−0.827160	−	0.273567i
$356$	0.0568744	+	0.0328364i	0.00301434	+	0.00174033i
$357$	5.59601	+	3.85416i	0.296172	+	0.203984i
$358$	−5.87843	+	21.9386i	−0.310685	+	1.15949i
$359$		−	21.1671i		−	1.11716i	−0.829452	−	0.558578i	$-0.811347\pi$
$359$		−	21.1671i		−	1.11716i	0.829452	−	0.558578i	$-0.188653\pi$
$360$	−11.0130	−	13.7191i	−0.580434	−	0.723060i
$361$	33.0261			1.73821
$362$	−6.64587	+	24.8027i	−0.349299	+	1.30360i
$363$	−3.06633	−	1.36342i	−0.160941	−	0.0715607i
$364$	−3.68683	−	0.688951i	−0.193242	−	0.0361108i
$365$	10.2046	−	5.13225i	0.534134	−	0.268634i
$366$	5.49646	+	14.2978i	0.287305	+	0.747357i
$367$	4.31241	−	16.0941i	0.225106	−	0.840107i	−0.757256	−	0.653118i	$-0.773461\pi$
$367$	4.31241	−	16.0941i	0.225106	−	0.840107i	0.982362	−	0.186989i	$-0.0598728\pi$
$368$	−17.7263	−	17.7263i	−0.924046	−	0.924046i
$369$	−10.0682	−	3.26043i	−0.524130	−	0.169731i
$370$	−10.8390	+	2.24453i	−0.563493	+	0.116687i
$371$	16.6684	−	19.4579i	0.865382	−	1.01020i
$372$	−2.03603	+	1.48079i	−0.105563	+	0.0767753i
$373$	1.36756	−	0.366437i	0.0708096	−	0.0189734i	−0.223240	−	0.974763i	$-0.571663\pi$
$373$	1.36756	−	0.366437i	0.0708096	−	0.0189734i	0.294050	+	0.955790i	$0.404997\pi$
$374$	3.34976	−	5.80195i	0.173212	−	0.300012i
$375$	14.5869	−	12.7367i	0.753262	−	0.657721i
$376$	−13.8453	+	7.99360i	−0.714018	+	0.412239i
$377$	22.4004	+	22.4004i	1.15368	+	1.15368i
$378$	20.4573	−	2.69316i	1.05221	−	0.138521i
$379$			12.7908i			0.657019i	0.944501	+	0.328510i	$0.106546\pi$
$379$			12.7908i			0.657019i	−0.944501	+	0.328510i	$0.893454\pi$
$380$	−2.71093	−	3.04275i	−0.139068	−	0.156090i
$381$	−7.43869	−	6.01769i	−0.381096	−	0.308295i
$382$	4.14741	+	15.4783i	0.212200	+	0.791940i
$383$	0.796856	+	2.97391i	0.0407174	+	0.151960i	0.983292	−	0.182037i	$-0.0582692\pi$
$383$	0.796856	+	2.97391i	0.0407174	+	0.151960i	−0.942574	+	0.333997i	$0.891603\pi$
$384$	−22.1955	−	3.50426i	−1.13266	−	0.178826i
$385$	−17.1100	+	4.94331i	−0.872007	+	0.251934i
$386$	29.4691			1.49994
$387$	0.472498	−	9.18844i	0.0240184	−	0.467075i
$388$	−2.29298	+	2.29298i	−0.116408	+	0.116408i
$389$	2.13469	−	1.23247i	0.108233	−	0.0624885i	−0.444906	−	0.895577i	$-0.646763\pi$
$389$	2.13469	−	1.23247i	0.108233	−	0.0624885i	0.553139	+	0.833089i	$0.313430\pi$
$390$	−31.8681	−	6.93234i	−1.61370	−	0.351033i
$391$	7.24775	+	4.18449i	0.366535	+	0.211619i
$392$	−14.8198	−	10.8343i	−0.748515	−	0.547216i
$393$	−0.191248	+	0.430119i	−0.00964719	+	0.0216966i
$394$	−11.6530	+	6.72787i	−0.587070	+	0.338945i
$395$	21.9809	−	4.55179i	1.10598	−	0.229025i
$396$	−0.476632	−	2.23160i	−0.0239516	−	0.112142i
$397$	21.2368	+	21.2368i	1.06585	+	1.06585i	0.997674	+	0.0681729i	$0.0217170\pi$
$397$	21.2368	+	21.2368i	1.06585	+	1.06585i	0.0681729	+	0.997674i	$0.478283\pi$
$398$	29.9696	+	8.03034i	1.50224	+	0.402524i
$399$	−32.5061	+	5.99149i	−1.62734	+	0.299949i
$400$	2.55294	−	22.0603i	0.127647	−	1.10301i
$401$	0.663976	−	1.15004i	0.0331574	−	0.0574302i	−0.848971	−	0.528440i	$-0.822777\pi$
$401$	0.663976	−	1.15004i	0.0331574	−	0.0574302i	0.882128	+	0.471010i	$0.156110\pi$
$402$	8.64766	−	0.913199i	0.431306	−	0.0455462i
$403$	8.35337	−	31.1752i	0.416111	−	1.55295i
$404$	−0.615527			−0.0306236
$405$	20.0212	−	2.03788i	0.994860	−	0.101263i
$406$	−7.45325	−	21.1466i	−0.369899	−	1.04949i
$407$	9.59050	+	2.56977i	0.475383	+	0.127379i
$408$	6.69801	−	0.707314i	0.331601	−	0.0350173i
$409$	2.10020	−	3.63765i	0.103848	−	0.179870i	−0.809419	−	0.587232i	$-0.800218\pi$
$409$	2.10020	−	3.63765i	0.103848	−	0.179870i	0.913267	+	0.407361i	$0.133551\pi$
$410$	−5.31943	−	10.5768i	−0.262708	−	0.522351i
$411$	1.42595	−	9.03178i	0.0703368	−	0.445505i
$412$	0.325451	−	1.21460i	0.0160338	−	0.0598390i
$413$	11.4069	+	5.46151i	0.561296	+	0.268743i
$414$	24.8535	−	5.30828i	1.22148	−	0.260888i
$415$	1.08173	+	0.710580i	0.0531000	+	0.0348810i
$416$	−6.90492	+	3.98656i	−0.338542	+	0.195457i
$417$	−21.7992	−	9.69279i	−1.06751	−	0.474658i
$418$	8.43491	+	31.4795i	0.412565	+	1.53971i
$419$	−9.60886	+	16.6430i	−0.469424	+	0.813065i	−0.999389	−	0.0349539i	$-0.988872\pi$
$419$	−9.60886	+	16.6430i	−0.469424	+	0.813065i	0.529965	+	0.848019i	$0.322205\pi$
$420$	2.04422	+	1.58893i	0.0997475	+	0.0775316i
$421$	7.94820	+	13.7667i	0.387371	+	0.670947i	0.992095	−	0.125488i	$-0.0400498\pi$
$421$	7.94820	+	13.7667i	0.387371	+	0.670947i	−0.604724	+	0.796435i	$0.706716\pi$
$422$	8.49275	−	8.49275i	0.413420	−	0.413420i
$423$	0.939194	−	18.2640i	0.0456652	−	0.888028i
$424$		−	25.3965i		−	1.23336i
$425$	1.08287	+	7.33427i	0.0525268	+	0.355764i
$426$	2.97614	−	18.8505i	0.144194	−	0.913309i
$427$	8.81112	+	12.8609i	0.426400	+	0.622384i
$428$	−0.815433	+	0.218495i	−0.0394155	+	0.0105613i
$429$	22.7437	+	18.3990i	1.09808	+	0.888314i
$430$	7.68497	−	6.84691i	0.370602	−	0.330187i
$431$	13.1962			0.635638			0.317819	−	0.948151i	$-0.397050\pi$
$431$	13.1962			0.635638			0.317819	+	0.948151i	$0.397050\pi$
$432$	15.4174	−	17.1736i	0.741770	−	0.826263i
$433$	9.58308	−	9.58308i	0.460533	−	0.460533i	−0.438297	−	0.898830i	$-0.644418\pi$
$433$	9.58308	−	9.58308i	0.460533	−	0.460533i	0.898830	+	0.438297i	$0.144418\pi$
$434$	−14.8613	+	17.3484i	−0.713365	+	0.832748i
$435$	−6.65869	−	20.8299i	−0.319260	−	0.998716i
$436$	−2.50784	+	4.34371i	−0.120104	+	0.208026i
$437$	−39.3240	+	10.5368i	−1.88112	+	0.504045i
$438$	7.81086	+	10.7396i	0.373217	+	0.513159i
$439$	−15.0035	−	25.9868i	−0.716079	−	1.24028i	−0.962542	−	0.271132i	$-0.912602\pi$
$439$	−15.0035	−	25.9868i	−0.716079	−	1.24028i	0.246464	−	0.969152i	$-0.420731\pi$
$440$	−9.69239	+	14.7549i	−0.462067	+	0.703413i
$441$	19.6200	−	7.48702i	0.934286	−	0.356525i
$442$	8.82887	−	8.82887i	0.419946	−	0.419946i
$443$	−8.78548	+	32.7879i	−0.417411	+	1.55780i	0.362547	+	0.931966i	$0.381907\pi$
$443$	−8.78548	+	32.7879i	−0.417411	+	1.55780i	−0.779957	+	0.625833i	$0.784759\pi$
$444$	−0.517933	−	1.34728i	−0.0245800	−	0.0639393i
$445$	0.551791	+	0.182494i	0.0261574	+	0.00865104i
$446$	9.64897	+	5.57084i	0.456892	+	0.263787i
$447$	13.0759	−	29.4078i	0.618468	−	1.39094i
$448$	−17.8060	+	1.37489i	−0.841255	+	0.0649575i
$449$			6.04212i			0.285145i	0.989784	+	0.142573i	$0.0455375\pi$
$449$			6.04212i			0.285145i	−0.989784	+	0.142573i	$0.954463\pi$
$450$	17.3606	+	14.3339i	0.818387	+	0.675706i
$451$			10.6197i			0.500061i
$452$	3.39974	+	0.910958i	0.159910	+	0.0428478i
$453$	−21.6871	+	15.7728i	−1.01895	+	0.741073i
$454$	−7.09230	+	12.2842i	−0.332858	+	0.576527i
$455$	−33.1859	+	0.645724i	−1.55578	+	0.0302720i
$456$	−20.6064	+	25.4724i	−0.964985	+	1.19285i
$457$	−21.3471	−	5.71993i	−0.998573	−	0.267567i	−0.277726	−	0.960660i	$-0.589581\pi$
$457$	−21.3471	−	5.71993i	−0.998573	−	0.267567i	−0.720848	+	0.693094i	$0.756247\pi$
$458$	6.28667	−	6.28667i	0.293757	−	0.293757i
$459$	−3.48771	+	6.87002i	−0.162792	+	0.320665i
$460$	2.66531	+	1.75082i	0.124271	+	0.0816325i
$461$	6.38312	−	3.68530i	0.297291	−	0.171641i	−0.343934	−	0.938994i	$-0.611760\pi$
$461$	6.38312	−	3.68530i	0.297291	−	0.171641i	0.641225	+	0.767353i	$0.278426\pi$
$462$	−8.89546	−	18.6972i	−0.413854	−	0.869871i
$463$	−15.8757	+	4.25388i	−0.737807	+	0.197695i	−0.608103	−	0.793858i	$-0.708069\pi$
$463$	−15.8757	+	4.25388i	−0.737807	+	0.197695i	−0.129704	+	0.991553i	$0.541403\pi$
$464$	−21.7185	−	12.5392i	−1.00826	−	0.582116i
$465$	−14.9866	+	16.4860i	−0.694987	+	0.764518i
$466$	−7.36064	−	12.7490i	−0.340975	−	0.590586i
$467$	5.96079	+	5.96079i	0.275832	+	0.275832i	0.831443	−	0.555610i	$-0.187515\pi$
$467$	5.96079	+	5.96079i	0.275832	+	0.275832i	−0.555610	+	0.831443i	$0.687515\pi$
$468$	0.218406	−	4.24723i	0.0100958	−	0.196328i
$469$	8.34679	−	2.94188i	0.385419	−	0.135843i
$470$	15.2756	−	13.6097i	0.704609	−	0.627770i
$471$	−5.18081	−	13.4767i	−0.238719	−	0.620974i
$472$	12.1089	−	3.24456i	0.557356	−	0.149343i
$473$	−8.91790	+	2.38954i	−0.410045	+	0.109871i
$474$	9.36424	+	24.3589i	0.430114	+	1.11884i
$475$	−28.9528	−	21.5032i	−1.32844	−	0.986635i
$476$	−0.934864	+	0.329499i	−0.0428494	+	0.0151025i
$477$	24.3804	+	15.7988i	1.11630	+	0.723376i
$478$	14.7892	+	14.7892i	0.676442	+	0.676442i
$479$	19.1885	+	33.2355i	0.876747	+	1.51857i	0.854891	+	0.518808i	$0.173624\pi$
$479$	19.1885	+	33.2355i	0.876747	+	1.51857i	0.0218561	+	0.999761i	$0.493042\pi$
$480$	5.49769	−	0.261910i	0.250934	−	0.0119545i
$481$	16.0252	+	9.25218i	0.730688	+	0.421863i
$482$	18.5484	−	4.97002i	0.844855	−	0.226378i
$483$	23.3564	−	11.1121i	1.06275	−	0.505620i
$484$	0.423956	−	0.244771i	0.0192707	−	0.0111259i
$485$	−15.7558	+	23.9854i	−0.715435	+	1.08912i
$486$	6.11094	+	22.5844i	0.277198	+	1.02445i
$487$	−6.98374	+	6.98374i	−0.316463	+	0.316463i	−0.847407	−	0.530944i	$-0.821838\pi$
$487$	−6.98374	+	6.98374i	−0.316463	+	0.316463i	0.530944	+	0.847407i	$0.321838\pi$
$488$	14.9264	+	3.99953i	0.675689	+	0.181050i
$489$	8.99886	−	11.1238i	0.406943	−	0.503037i
$490$	21.3825	+	9.73103i	0.965963	+	0.439603i
$491$	18.6711	−	32.3394i	0.842617	−	1.45945i	−0.0450583	−	0.998984i	$-0.514347\pi$
$491$	18.6711	−	32.3394i	0.842617	−	1.45945i	0.887675	−	0.460471i	$-0.152319\pi$
$492$	1.24855	−	0.908061i	0.0562889	−	0.0409385i
$493$	8.08691	+	2.16688i	0.364216	+	0.0975914i
$494$			60.7380i			2.73273i
$495$	−8.13505	−	18.4834i	−0.365643	−	0.830766i
$496$			25.5502i			1.14724i
$497$	−1.49527	−	19.3650i	−0.0670719	−	0.868639i
$498$	−0.611327	+	1.37488i	−0.0273942	+	0.0616099i
$499$	−12.8750	−	7.43339i	−0.576365	−	0.332764i	0.183323	−	0.983053i	$-0.441315\pi$
$499$	−12.8750	−	7.43339i	−0.576365	−	0.332764i	−0.759687	+	0.650288i	$0.774648\pi$
$500$	0.251031	+	2.81378i	0.0112264	+	0.125836i
$501$	−3.66253	−	9.52723i	−0.163630	−	0.425645i
$502$	−10.6217	+	39.6408i	−0.474071	+	1.76926i
$503$	17.1033	−	17.1033i	0.762598	−	0.762598i	−0.214193	−	0.976791i	$-0.568712\pi$
$503$	17.1033	−	17.1033i	0.762598	−	0.762598i	0.976791	+	0.214193i	$0.0687123\pi$
$504$	9.94153	−	18.2884i	0.442831	−	0.814629i
$505$	−5.33406	+	1.10457i	−0.237363	+	0.0491528i
$506$	−12.7511	−	22.0855i	−0.566855	−	0.981821i
$507$	18.8244	+	25.8828i	0.836019	+	1.14949i
$508$	1.34822	−	0.361254i	0.0598176	−	0.0160281i
$509$	20.1407	−	34.8848i	0.892722	−	1.54624i	0.0561241	−	0.998424i	$-0.482126\pi$
$509$	20.1407	−	34.8848i	0.892722	−	1.54624i	0.836598	−	0.547817i	$-0.184541\pi$
$510$	−8.20987	+	2.62445i	−0.363539	+	0.116212i
$511$	10.2641	+	8.79267i	0.454059	+	0.388965i
$512$	−12.0097	+	12.0097i	−0.530758	+	0.530758i
$513$	−11.6343	−	35.6279i	−0.513665	−	1.57301i
$514$	−17.8887			−0.789038
$515$	0.640694	−	11.1096i	0.0282324	−	0.489546i
$516$	1.04348	+	0.844149i	0.0459368	+	0.0371616i
$517$	−17.7263	+	4.74974i	−0.779601	+	0.208893i
$518$	−7.40224	−	10.8045i	−0.325236	−	0.474722i
$519$	−0.361855	+	2.29194i	−0.0158837	+	0.100605i
$520$	−24.5654	+	21.8865i	−1.07726	+	0.959787i
$521$		−	28.7800i		−	1.26088i	−0.776240	−	0.630438i	$-0.782875\pi$
$521$		−	28.7800i		−	1.26088i	0.776240	−	0.630438i	$-0.217125\pi$
$522$	22.6414	−	11.5644i	0.990986	−	0.506159i
$523$	−1.01735	+	1.01735i	−0.0444858	+	0.0444858i	−0.729000	−	0.684514i	$-0.760014\pi$
$523$	−1.01735	+	1.01735i	−0.0444858	+	0.0444858i	0.684514	+	0.729000i	$0.260014\pi$
$524$	−0.0343343	−	0.0594688i	−0.00149990	−	0.00259791i
$525$	20.5662	+	10.1010i	0.897583	+	0.440845i
$526$	12.2745	−	21.2600i	0.535193	−	0.926981i
$527$	−2.20765	−	8.23905i	−0.0961667	−	0.358899i
$528$	−21.1612	−	9.40913i	−0.920923	−	0.409480i
$529$	7.67047	−	4.42855i	0.333499	−	0.192545i
$530$	6.59026	+	31.8249i	0.286263	+	1.38239i
$531$	−4.41799	+	13.6428i	−0.191725	+	0.592045i
$532$	2.08230	−	4.34908i	0.0902791	−	0.188556i
$533$	−5.12252	+	19.1175i	−0.221881	+	0.828071i
$534$	−0.105372	+	0.667411i	−0.00455987	+	0.0288817i
$535$	−6.67433	+	3.35675i	−0.288557	+	0.145125i
$536$	4.38622	−	7.59716i	0.189456	−	0.328147i
$537$	−26.0657	+	2.75255i	−1.12482	+	0.118781i
$538$	6.82778	+	1.82950i	0.294366	+	0.0788753i
$539$	−13.2131	−	16.4158i	−0.569129	−	0.707078i
$540$	−1.47747	+	2.53690i	−0.0635803	+	0.109171i
$541$	27.2918			1.17337			0.586683	−	0.809817i	$-0.300433\pi$
$541$	27.2918			1.17337			0.586683	+	0.809817i	$0.300433\pi$
$542$	0.101581	−	0.379105i	0.00436328	−	0.0162840i
$543$	−29.4686	+	3.11190i	−1.26462	+	0.133544i
$544$	−1.05358	+	1.82485i	−0.0451718	+	0.0782398i
$545$	−13.9377	+	42.1423i	−0.597027	+	1.80518i
$546$	−6.99478	−	37.9494i	−0.299349	−	1.62409i
$547$	1.21098	+	0.324482i	0.0517779	+	0.0138738i	0.284615	−	0.958642i	$-0.408134\pi$
$547$	1.21098	+	0.324482i	0.0517779	+	0.0138738i	−0.232837	+	0.972516i	$0.574801\pi$
$548$	0.943192	+	0.943192i	0.0402912	+	0.0402912i
$549$	−13.1250	+	11.8412i	−0.560162	+	0.505369i
$550$	8.31692	−	21.0048i	0.354635	−	0.895648i
$551$	−35.2704	+	20.3634i	−1.50257	+	0.867509i
$552$	10.4165	−	23.4268i	0.443355	−	0.997109i
$553$	15.0114	+	21.9110i	0.638349	+	0.931750i
$554$	13.5033	+	7.79611i	0.573698	+	0.331225i
$555$	−6.90605	−	10.7459i	−0.293146	−	0.456139i
$556$	3.01399	−	1.74013i	0.127821	−	0.0737977i
$557$	−1.67807	+	1.67807i	−0.0711020	+	0.0711020i	−0.741764	−	0.670662i	$-0.766010\pi$
$557$	−1.67807	+	1.67807i	−0.0711020	+	0.0711020i	0.670662	+	0.741764i	$0.266010\pi$
$558$	−21.7371	−	14.0859i	−0.920206	−	0.596305i
$559$	−17.2066			−0.727762
$560$	25.2438	−	7.29328i	1.06675	−	0.308197i
$561$	7.63675	+	1.20570i	0.322424	+	0.0509047i
$562$	7.13215	+	26.6175i	0.300852	+	1.12279i
$563$	6.48916	+	24.2179i	0.273485	+	1.02066i	0.956850	+	0.290584i	$0.0938495\pi$
$563$	6.48916	+	24.2179i	0.273485	+	1.02066i	−0.683364	+	0.730078i	$0.739484\pi$
$564$	2.07415	+	1.67793i	0.0873377	+	0.0706537i
$565$	31.0964	+	1.79334i	1.30823	+	0.0754465i
$566$			6.85662i			0.288205i
$567$	11.3722	+	20.9207i	0.477586	+	0.878585i
$568$	−13.6134	−	13.6134i	−0.571207	−	0.571207i
$569$	22.1958	−	12.8148i	0.930498	−	0.537223i	0.0435292	−	0.999052i	$-0.486140\pi$
$569$	22.1958	−	12.8148i	0.930498	−	0.537223i	0.886969	+	0.461829i	$0.152807\pi$
$570$	19.2124	−	37.2673i	0.804719	−	1.56095i
$571$	−14.0363	+	24.3116i	−0.587400	+	1.01741i	0.407171	+	0.913352i	$0.366515\pi$
$571$	−14.0363	+	24.3116i	−0.587400	+	1.01741i	−0.994572	+	0.104055i	$0.966818\pi$
$572$	−4.12217	+	1.10453i	−0.172357	+	0.0461828i
$573$	−14.9553	+	10.8769i	−0.624766	+	0.454388i
$574$	9.11336	−	10.6385i	0.380384	−	0.444043i
$575$	26.2390	+	10.3894i	1.09424	+	0.433269i
$576$	−4.22971	−	19.8036i	−0.176238	−	0.825148i
$577$	−10.6783	−	10.6783i	−0.444542	−	0.444542i	0.448993	−	0.893535i	$-0.351783\pi$
$577$	−10.6783	−	10.6783i	−0.444542	−	0.444542i	−0.893535	+	0.448993i	$0.851783\pi$
$578$	−5.74975	+	21.4584i	−0.239158	+	0.892550i
$579$	12.2029	+	31.7431i	0.507135	+	1.31920i
$580$	3.02879	+	1.00171i	0.125764	+	0.0415939i
$581$	−0.281294	+	1.50531i	−0.0116701	+	0.0624508i
$582$	−30.4855	−	13.5551i	−1.26366	−	0.561876i
$583$	7.54522	−	28.1592i	0.312491	−	1.16623i
$584$	13.3968			0.554363
$585$	−5.72903	−	37.1978i	−0.236866	−	1.53794i
$586$			36.3816i			1.50291i
$587$	−0.894170	+	3.33709i	−0.0369064	+	0.137736i	−0.981921	−	0.189292i	$-0.939381\pi$
$587$	−0.894170	+	3.33709i	−0.0369064	+	0.137736i	0.945014	+	0.327029i	$0.106047\pi$
$588$	−0.800177	+	2.95713i	−0.0329988	+	0.121950i
$589$	35.9340	+	20.7465i	1.48063	+	0.854844i
$590$	−14.3319	+	7.20801i	−0.590036	+	0.296749i
$591$	−12.0724	−	9.76624i	−0.496593	−	0.401729i
$592$	−14.1497	−	3.79139i	−0.581547	−	0.155825i
$593$	−5.25283	+	5.25283i	−0.215708	+	0.215708i	−0.806687	−	0.590979i	$-0.798742\pi$
$593$	−5.25283	+	5.25283i	−0.215708	+	0.215708i	0.590979	+	0.806687i	$0.298742\pi$
$594$	19.6712	−	12.8159i	0.807119	−	0.525841i
$595$	−7.51010	+	4.53301i	−0.307884	+	0.185835i
$596$	2.34748	+	4.06596i	0.0961567	+	0.166548i
$597$	3.76017	+	35.6075i	0.153894	+	1.45732i
$598$	−12.3013	−	45.9089i	−0.503036	−	1.87736i
$599$	17.9987	+	10.3916i	0.735408	+	0.424588i	0.820397	−	0.571794i	$-0.193752\pi$
$599$	17.9987	+	10.3916i	0.735408	+	0.424588i	−0.0849891	+	0.996382i	$0.527086\pi$
$600$	21.9957	−	5.65855i	0.897972	−	0.231009i
$601$	22.0101	−	12.7076i	0.897812	−	0.518352i	0.0213224	−	0.999773i	$-0.493212\pi$
$601$	22.0101	−	12.7076i	0.897812	−	0.518352i	0.876490	+	0.481421i	$0.159879\pi$
$602$	10.9843	+	5.25919i	0.447688	+	0.214349i
$603$	4.56458	+	8.93679i	0.185884	+	0.363934i
$604$		−	3.91195i		−	0.159175i
$605$	3.23469	−	2.88194i	0.131509	−	0.117168i
$606$	−2.27240	−	5.91112i	−0.0923099	−	0.240123i
$607$	−12.7348	+	3.41228i	−0.516889	+	0.138500i	−0.507827	−	0.861459i	$-0.669551\pi$
$607$	−12.7348	+	3.41228i	−0.516889	+	0.138500i	−0.00906195	+	0.999959i	$0.502885\pi$
$608$	−2.65298	−	9.90105i	−0.107592	−	0.401541i
$609$	19.6920	−	16.7850i	0.797960	−	0.680162i
$610$	−19.7425	−	1.13856i	−0.799350	−	0.0460989i
$611$	−34.2019			−1.38366
$612$	−0.511246	−	1.00095i	−0.0206659	−	0.0404608i
$613$	−33.5992	−	33.5992i	−1.35706	−	1.35706i	−0.877523	−	0.479535i	$-0.840805\pi$
$613$	−33.5992	−	33.5992i	−1.35706	−	1.35706i	−0.479535	−	0.877523i	$-0.659195\pi$
$614$	0.368389	+	0.638068i	0.0148670	+	0.0257503i
$615$	9.19021	−	10.1097i	0.370585	−	0.407661i
$616$	−20.5326	−	3.83689i	−0.827282	−	0.154593i
$617$	−5.53916	−	20.6724i	−0.222998	−	0.832240i	−0.983197	−	0.182550i	$-0.941565\pi$
$617$	−5.53916	−	20.6724i	−0.222998	−	0.832240i	0.760199	−	0.649691i	$-0.225102\pi$
$618$	12.8657	−	1.35863i	0.517536	−	0.0546521i
$619$	5.07651	+	8.79277i	0.204042	+	0.353411i	0.949827	−	0.312776i	$-0.101259\pi$
$619$	5.07651	+	8.79277i	0.204042	+	0.353411i	−0.745785	+	0.666187i	$0.767925\pi$
$620$	−0.659057	−	3.18264i	−0.0264684	−	0.127818i
$621$	16.0095	+	24.5731i	0.642438	+	0.986085i
$622$	−26.6781	−	26.6781i	−1.06969	−	1.06969i
$623$	0.0529407	+	0.685627i	0.00212102	+	0.0274691i
$624$	−33.5557	−	27.1456i	−1.34330	−	1.08670i
$625$	7.22476	+	23.9333i	0.288990	+	0.957332i
$626$	15.3453	+	8.85961i	0.613321	+	0.354101i
$627$	−30.4158	+	22.1212i	−1.21469	+	0.883434i
$628$	2.03448	+	0.545137i	0.0811845	+	0.0217533i
$629$	4.89038			0.194992
$630$	−7.71219	+	25.4973i	−0.307261	+	1.01584i
$631$	9.71655			0.386810			0.193405	−	0.981119i	$-0.438047\pi$
$631$	9.71655			0.386810			0.193405	+	0.981119i	$0.438047\pi$
$632$	25.4300	+	6.81394i	1.01155	+	0.271044i
$633$	12.6648	+	5.63130i	0.503382	+	0.223824i
$634$	7.13807	+	4.12116i	0.283489	+	0.163672i
$635$	11.0352	−	5.54998i	0.437918	−	0.220244i
$636$	−3.95583	+	1.52073i	−0.156859	+	0.0603009i
$637$	−15.8679	−	35.9252i	−0.628707	−	1.42341i
$638$	−18.0396	−	18.0396i	−0.714196	−	0.714196i
$639$	21.5375	−	4.60004i	0.852008	−	0.181975i
$640$	15.9270	−	24.2460i	0.629570	−	0.958406i
$641$	6.43683	+	11.1489i	0.254239	+	0.440356i	0.964689	−	0.263393i	$-0.0848416\pi$
$641$	6.43683	+	11.1489i	0.254239	+	0.440356i	−0.710449	+	0.703748i	$0.751508\pi$
$642$	−5.10870	−	7.02426i	−0.201624	−	0.277225i
$643$	6.65065	+	24.8205i	0.262276	+	0.978827i	0.963897	+	0.266276i	$0.0857934\pi$
$643$	6.65065	+	24.8205i	0.262276	+	0.978827i	−0.701621	+	0.712550i	$0.747540\pi$
$644$	−0.693091	+	3.70898i	−0.0273116	+	0.146154i
$645$	10.5575	+	5.44272i	0.415702	+	0.214307i
$646$	8.02600	+	13.9014i	0.315779	+	0.546945i
$647$	−18.7373	−	18.7373i	−0.736638	−	0.736638i	0.235288	−	0.971926i	$-0.424397\pi$
$647$	−18.7373	−	18.7373i	−0.736638	−	0.736638i	−0.971926	+	0.235288i	$0.924397\pi$
$648$	22.0518	+	8.41524i	0.866277	+	0.330582i
$649$	14.3900			0.564857
$650$	25.1040	−	33.8010i	0.984660	−	1.32579i
$651$	−24.8409	−	8.82424i	−0.973593	−	0.345849i
$652$	0.540220	+	2.01613i	0.0211567	+	0.0789578i
$653$	−35.4230	+	9.49156i	−1.38621	+	0.371433i	−0.873372	−	0.487053i	$-0.838072\pi$
$653$	−35.4230	+	9.49156i	−1.38621	+	0.371433i	−0.512836	+	0.858487i	$0.671405\pi$
$654$	−50.9727	−	8.04762i	−1.99319	−	0.314687i
$655$	−0.404254	−	0.453735i	−0.0157955	−	0.0177289i
$656$		−	15.6681i		−	0.611736i
$657$	−8.33393	+	12.8608i	−0.325138	+	0.501746i
$658$	21.8338	+	10.4538i	0.851169	+	0.407532i
$659$	1.28824	−	0.743765i	0.0501826	−	0.0289730i	−0.474699	−	0.880148i	$-0.657443\pi$
$659$	1.28824	−	0.743765i	0.0501826	−	0.0289730i	0.524881	+	0.851175i	$0.324110\pi$
$660$	2.87864	+	0.626197i	0.112051	+	0.0243747i
$661$	−38.9886	−	22.5101i	−1.51648	−	0.875541i	−0.999813	−	0.0193567i	$-0.993838\pi$
$661$	−38.9886	−	22.5101i	−1.51648	−	0.875541i	−0.516670	−	0.856185i	$-0.672828\pi$
$662$	−4.05253	−	15.1243i	−0.157506	−	0.587821i
$663$	13.1661	+	5.85417i	0.511328	+	0.227357i
$664$	0.758968	+	1.31457i	0.0294537	+	0.0510153i
$665$	10.2404	−	41.4252i	0.397106	−	1.60640i
$666$	11.0264	−	9.94780i	0.427262	−	0.385469i
$667$	22.5350	−	22.5350i	0.872558	−	0.872558i
$668$	1.43826	+	0.385380i	0.0556478	+	0.0149108i
$669$	−2.00515	+	12.7004i	−0.0775234	+	0.491024i
$670$	−3.52504	+	10.6584i	−0.136184	+	0.411768i
$671$	15.3619	+	8.86919i	0.593039	+	0.342391i
$672$	2.79783	+	5.88070i	0.107929	+	0.226853i
$673$	4.60757	−	17.1957i	0.177609	−	0.662845i	−0.818484	−	0.574529i	$-0.805185\pi$
$673$	4.60757	−	17.1957i	0.177609	−	0.662845i	0.996093	−	0.0883151i	$-0.0281482\pi$
$674$		−	11.5087i		−	0.443300i
$675$	−8.25106	+	24.6357i	−0.317583	+	0.948230i
$676$	−4.66878			−0.179569
$677$	5.98665	−	22.3425i	0.230085	−	0.858691i	−0.750218	−	0.661191i	$-0.770051\pi$
$677$	5.98665	−	22.3425i	0.230085	−	0.858691i	0.980303	−	0.197500i	$-0.0632821\pi$
$678$	3.80289	+	36.0120i	0.146049	+	1.38303i
$679$	−33.3775	−	6.23720i	−1.28091	−	0.239362i
$680$	−2.73031	+	8.25539i	−0.104703	+	0.316580i
$681$	−16.1690	−	2.55278i	−0.619596	−	0.0978226i
$682$	−6.72719	+	25.1062i	−0.257598	+	0.961367i
$683$	22.8715	+	22.8715i	0.875154	+	0.875154i	0.993028	−	0.117875i	$-0.0376082\pi$
$683$	22.8715	+	22.8715i	0.875154	+	0.875154i	−0.117875	+	0.993028i	$0.537608\pi$
$684$	5.20155	+	1.68444i	0.198886	+	0.0644062i
$685$	9.86614	+	6.48099i	0.376966	+	0.247626i
$686$	−0.850821	+	27.7839i	−0.0324845	+	1.06079i
$687$	9.37503	+	4.16852i	0.357680	+	0.159039i
$688$	13.1573	−	3.52549i	0.501618	−	0.134408i
$689$	27.1658	−	47.0525i	1.03493	−	1.79256i
$690$	−6.97400	+	32.0596i	−0.265495	+	1.22049i
$691$	−21.8834	+	12.6344i	−0.832485	+	0.480636i	−0.854703	−	0.519118i	$-0.826261\pi$
$691$	−21.8834	+	12.6344i	−0.832485	+	0.480636i	0.0222176	+	0.999753i	$0.492927\pi$
$692$	−0.239348	−	0.239348i	−0.00909866	−	0.00909866i
$693$	16.4564	−	17.3242i	0.625126	−	0.658092i
$694$		−	48.9007i		−	1.85625i
$695$	22.9961	−	20.4883i	0.872291	−	0.777166i
$696$	3.99979	−	25.3342i	0.151612	−	0.960290i
$697$	1.35379	+	5.05242i	0.0512785	+	0.191374i
$698$	−8.69431	−	32.4476i	−0.329084	−	1.22816i
$699$	10.6848	−	13.2079i	0.404136	−	0.499567i
$700$	−2.95635	+	1.55964i	−0.111740	+	0.0589488i
$701$	−47.6479			−1.79964			−0.899818	−	0.436266i	$-0.856301\pi$
$701$	−47.6479			−1.79964			−0.899818	+	0.436266i	$0.856301\pi$
$702$	41.5939	−	13.5825i	1.56986	−	0.512637i
$703$	−16.8216	+	16.8216i	−0.634440	+	0.634440i
$704$	−17.5980	+	10.1602i	−0.663251	+	0.382928i
$705$	20.9854	+	10.8186i	0.790355	+	0.407452i
$706$	12.9227	+	7.46094i	0.486353	+	0.280796i
$707$	−3.64278	−	5.31709i	−0.137001	−	0.199970i
$708$	−1.23045	−	1.69183i	−0.0462432	−	0.0635827i
$709$	−26.7407	+	15.4388i	−1.00427	+	0.579815i	−0.909509	−	0.415685i	$-0.863542\pi$
$709$	−26.7407	+	15.4388i	−1.00427	+	0.579815i	−0.0947608	+	0.995500i	$0.530209\pi$
$710$	20.5919	+	13.5267i	0.772800	+	0.507647i
$711$	−22.3609	+	20.1736i	−0.838599	+	0.756570i
$712$	0.481990	+	0.481990i	0.0180634	+	0.0180634i
$713$	−31.3625	−	8.40356i	−1.17454	−	0.314716i
$714$	−6.61562	−	7.76139i	−0.247583	−	0.290463i
$715$	−33.7400	+	16.9690i	−1.26181	+	0.634605i
$716$	1.91180	−	3.31134i	0.0714473	−	0.123750i
$717$	−9.80631	+	22.0545i	−0.366223	+	0.823639i
$718$	−8.22255	+	30.6870i	−0.306863	+	1.14523i
$719$	−17.2432			−0.643061			−0.321531	−	0.946899i	$-0.604197\pi$
$719$	−17.2432			−0.643061			−0.321531	+	0.946899i	$0.604197\pi$
$720$	12.0023	+	27.2701i	0.447300	+	1.01629i
$721$	12.4181	−	4.37684i	0.462475	−	0.163002i
$722$	−47.8795	−	12.8293i	−1.78189	−	0.477456i
$723$	13.0342	+	17.9216i	0.484749	+	0.666511i
$724$	2.16139	−	3.74363i	0.0803274	−	0.139131i
$725$	28.0447	+	3.24549i	1.04155	+	0.120535i
$726$	3.91578	+	3.16775i	0.145328	+	0.117566i
$727$	0.676408	−	2.52439i	0.0250866	−	0.0936244i	−0.952248	−	0.305327i	$-0.901234\pi$
$727$	0.676408	−	2.52439i	0.0250866	−	0.0936244i	0.977334	+	0.211703i	$0.0679009\pi$
$728$	−35.1120	−	16.8113i	−1.30134	−	0.623068i
$729$	−21.7966	+	15.9345i	−0.807282	+	0.590166i
$730$	−16.7878	+	3.47640i	−0.621344	+	0.128667i
$731$	−3.93817	+	2.27370i	−0.145658	+	0.0840959i
$732$	−0.270810	−	2.56447i	−0.0100094	−	0.0947856i
$733$	4.33803	+	16.1897i	0.160229	+	0.597982i	0.998601	+	0.0528833i	$0.0168411\pi$
$733$	4.33803	+	16.1897i	0.160229	+	0.597982i	−0.838372	+	0.545099i	$0.816492\pi$
$734$	−12.5038	+	21.6572i	−0.461524	+	0.799384i
$735$	−1.62761	+	27.0620i	−0.0600352	+	0.998196i
$736$	4.01051	+	6.94641i	0.147829	+	0.256048i
$737$	7.12044	−	7.12044i	0.262285	−	0.262285i
$738$	13.3298	+	8.63789i	0.490677	+	0.317965i
$739$		−	19.4170i		−	0.714265i	−0.934054	−	0.357132i	$-0.883754\pi$
$739$		−	19.4170i		−	0.714265i	0.934054	−	0.357132i	$-0.116246\pi$
$740$	1.86034	+	0.107287i	0.0683875	+	0.00394394i
$741$	−65.4248	+	25.1511i	−2.40344	+	0.923948i
$742$	−31.7236	+	21.7341i	−1.16461	+	0.797884i
$743$	31.6175	−	8.47189i	1.15993	−	0.310804i	0.372995	−	0.927833i	$-0.378331\pi$
$743$	31.6175	−	8.47189i	1.15993	−	0.310804i	0.786940	+	0.617030i	$0.211664\pi$
$744$	−24.3903	+	9.37632i	−0.894193	+	0.343752i
$745$	27.6394	+	31.0224i	1.01263	+	1.13657i
$746$	−2.12497			−0.0778005
$747$	−1.73412	−	0.0891737i	−0.0634480	−	0.00326269i
$748$	−0.797509	+	0.797509i	−0.0291598	+	0.0291598i
$749$	−6.71327	−	5.75085i	−0.245297	−	0.210132i
$750$	−26.0950	+	12.7986i	−0.952853	+	0.467340i
$751$	−1.68889	+	2.92525i	−0.0616286	+	0.106744i	−0.895194	−	0.445678i	$-0.852963\pi$
$751$	−1.68889	+	2.92525i	−0.0616286	+	0.106744i	0.833565	+	0.552422i	$0.186296\pi$
$752$	26.1531	−	7.00769i	0.953704	−	0.255544i
$753$	−47.0980	+	4.97358i	−1.71635	+	0.181247i
$754$	−23.7733	−	41.1766i	−0.865772	−	1.49956i
$755$	−7.02005	−	33.9004i	−0.255486	−	1.23376i
$756$	−3.44394	−	0.453420i	−0.125255	−	0.0164907i
$757$	−17.8925	+	17.8925i	−0.650313	+	0.650313i	−0.953068	−	0.302755i	$-0.902093\pi$
$757$	−17.8925	+	17.8925i	−0.650313	+	0.650313i	0.302755	+	0.953068i	$0.402093\pi$
$758$	4.96870	−	18.5434i	0.180471	−	0.673528i
$759$	18.5096	−	22.8804i	0.671856	−	0.830506i
$760$	−19.0048	−	37.7880i	−0.689378	−	1.37071i
$761$	−9.86040	−	5.69290i	−0.357439	−	0.206368i	0.310518	−	0.950568i	$-0.399498\pi$
$761$	−9.86040	−	5.69290i	−0.357439	−	0.206368i	−0.667957	+	0.744200i	$0.732831\pi$
$762$	8.44661	+	11.6138i	0.305988	+	0.420722i
$763$	−52.3639	+	4.04328i	−1.89570	+	0.146376i
$764$		−	2.69766i		−	0.0975980i
$765$	−6.22659	−	7.75661i	−0.225123	−	0.280441i
$766$		−	4.62096i		−	0.166962i
$767$	25.9049	+	6.94118i	0.935370	+	0.250632i
$768$	9.45066	+	4.20215i	0.341021	+	0.151632i
$769$	24.3209	−	42.1251i	0.877035	−	1.51907i	0.0224562	−	0.999748i	$-0.492851\pi$
$769$	24.3209	−	42.1251i	0.877035	−	1.51907i	0.854579	−	0.519322i	$-0.173815\pi$
$770$	26.7255	−	0.520019i	0.963120	−	0.0187402i
$771$	−7.40757	−	19.2691i	−0.266777	−	0.693959i
$772$	−4.79202	−	1.28402i	−0.172468	−	0.0462128i
$773$	−30.6490	+	30.6490i	−1.10237	+	1.10237i	−0.108245	+	0.994124i	$0.534523\pi$
$773$	−30.6490	+	30.6490i	−1.10237	+	1.10237i	−0.994124	+	0.108245i	$0.965477\pi$
$774$	−4.25433	+	13.1374i	−0.152919	+	0.472213i
$775$	−11.4226	−	26.3976i	−0.410311	−	0.948230i
$776$	−29.1483	+	16.8288i	−1.04636	+	0.604117i
$777$	8.57301	−	12.4475i	0.307555	−	0.446551i
$778$	−3.57353	+	0.957525i	−0.128117	+	0.0343289i
$779$	−22.0357	−	12.7223i	−0.789511	−	0.455825i
$780$	4.88006	+	2.51582i	0.174734	+	0.0900809i
$781$	−11.0498	−	19.1388i	−0.395393	−	0.684841i
$782$	−8.88192	−	8.88192i	−0.317617	−	0.317617i
$783$	21.8323	+	19.5997i	0.780223	+	0.700438i
$784$	19.4944	+	24.2196i	0.696228	+	0.864985i
$785$	18.6087	+	1.07318i	0.664175	+	0.0383033i
$786$	0.444345	−	0.549272i	0.0158493	−	0.0195919i
$787$	44.1650	−	11.8340i	1.57431	−	0.421835i	0.637152	−	0.770738i	$-0.280112\pi$
$787$	44.1650	−	11.8340i	1.57431	−	0.421835i	0.937159	+	0.348903i	$0.113446\pi$
$788$	2.18806	−	0.586288i	0.0779463	−	0.0208856i
$789$	27.9833	+	4.41803i	0.996231	+	0.157286i
$790$	−33.6350	−	1.93975i	−1.19668	−	0.0690132i
$791$	12.2511	+	34.7591i	0.435597	+	1.23589i
$792$	1.21634	−	23.6535i	0.0432207	−	0.840492i
$793$	23.3763	+	23.3763i	0.830116	+	0.830116i
$794$	−22.5384	−	39.0377i	−0.799859	−	1.38540i
$795$	−31.5517	+	20.2772i	−1.11902	+	0.719158i
$796$	−4.52351	−	2.61165i	−0.160332	−	0.0925675i
$797$	11.5740	−	3.10125i	0.409972	−	0.109852i	−0.0479376	−	0.998850i	$-0.515265\pi$
$797$	11.5740	−	3.10125i	0.409972	−	0.109852i	0.457910	+	0.888999i	$0.348598\pi$
$798$	49.4532	+	3.94116i	1.75062	+	0.139515i
$799$	−7.82797	+	4.51948i	−0.276934	+	0.159888i
$800$	−2.61587	+	6.60651i	−0.0924848	+	0.233575i
$801$	−0.762544	+	0.162866i	−0.0269432	+	0.00575460i
$802$	−1.40934	+	1.40934i	−0.0497656	+	0.0497656i
$803$	14.8541	+	3.98014i	0.524189	+	0.140456i
$804$	−1.44600	−	0.228296i	−0.0509964	−	0.00805137i
$805$	0.649603	+	33.3853i	0.0228955	+	1.17668i
$806$	−24.2206	+	41.9512i	−0.853133	+	1.47767i
$807$	0.856655	+	8.11221i	0.0301557	+	0.285563i
$808$	−6.17103	−	1.65352i	−0.217096	−	0.0581708i
$809$		−	37.0882i		−	1.30395i	−0.758240	−	0.651976i	$-0.773940\pi$
$809$		−	37.0882i		−	1.30395i	0.758240	−	0.651976i	$-0.226060\pi$
$810$	−29.8173	−	4.82299i	−1.04767	−	0.169463i
$811$			7.45819i			0.261892i	0.991389	+	0.130946i	$0.0418015\pi$
$811$			7.45819i			0.261892i	−0.991389	+	0.130946i	$0.958198\pi$
$812$	0.290593	+	3.76343i	0.0101978	+	0.132070i
$813$	0.450422	−	0.0475649i	0.0157970	−	0.00166817i
$814$	−12.9056	−	7.45103i	−0.452340	−	0.261159i
$815$	8.29944	+	16.5021i	0.290717	+	0.578042i
$816$	−11.2671	−	1.77887i	−0.394429	−	0.0622729i
$817$	5.72533	−	21.3672i	0.200304	−	0.747545i
$818$	−4.45784	+	4.45784i	−0.155865	+	0.155865i
$819$	37.9813	−	23.2490i	1.32717	−	0.812387i
$820$	0.404153	+	1.95169i	0.0141136	+	0.0681558i
$821$	16.8906	+	29.2554i	0.589486	+	1.02102i	0.994300	+	0.106621i	$0.0340031\pi$
$821$	16.8906	+	29.2554i	0.589486	+	1.02102i	−0.404814	+	0.914399i	$0.632664\pi$
$822$	−5.57574	+	12.5399i	−0.194476	+	0.437379i
$823$	45.2440	−	12.1231i	1.57711	−	0.422585i	0.639079	−	0.769141i	$-0.279316\pi$
$823$	45.2440	−	12.1231i	1.57711	−	0.422585i	0.938029	+	0.346556i	$0.112649\pi$
$824$	6.52569	−	11.3028i	0.227333	−	0.393753i
$825$	26.0696	+	0.260773i	0.907626	+	0.00907896i
$826$	−14.4155	−	12.3489i	−0.501580	−	0.429674i
$827$	5.53246	−	5.53246i	0.192383	−	0.192383i	−0.604342	−	0.796725i	$-0.706564\pi$
$827$	5.53246	−	5.53246i	0.192383	−	0.192383i	0.796725	+	0.604342i	$0.206564\pi$
$828$	−4.27275	−	0.219718i	−0.148488	−	0.00763573i
$829$	11.3905			0.395609			0.197805	−	0.980241i	$-0.436619\pi$
$829$	11.3905			0.395609			0.197805	+	0.980241i	$0.436619\pi$
$830$	−1.29220	−	1.45037i	−0.0448530	−	0.0503430i
$831$	−2.80610	+	17.7735i	−0.0973426	+	0.616556i
$832$	−36.5808	+	9.80181i	−1.26821	+	0.339816i
$833$	−8.37896	−	6.12559i	−0.290314	−	0.212239i
$834$	27.8381	+	22.5202i	0.963953	+	0.779811i
$835$	13.1553	+	0.758672i	0.455257	+	0.0262549i
$836$		−	5.48645i		−	0.189753i
$837$	6.17169	−	29.2473i	0.213325	−	1.01093i
$838$	20.3956	−	20.3956i	0.704553	−	0.704553i
$839$	5.35271	+	9.27116i	0.184796	+	0.320076i	0.943508	−	0.331351i	$-0.107504\pi$
$839$	5.35271	+	9.27116i	0.184796	+	0.320076i	−0.758712	+	0.651426i	$0.774171\pi$
$840$	16.2261	+	21.4214i	0.559854	+	0.739110i
$841$	1.44074	−	2.49543i	0.0496805	−	0.0860492i
$842$	−6.17510	−	23.0458i	−0.212808	−	0.794210i
$843$	−25.7181	+	18.7046i	−0.885778	+	0.644220i
$844$	−1.75106	+	1.01098i	−0.0602740	+	0.0347992i
$845$	−40.4590	+	8.37819i	−1.39183	+	0.288219i
$846$	−8.45643	+	26.1134i	−0.290738	+	0.897798i
$847$	4.62343	+	2.21365i	0.158863	+	0.0760621i
$848$	−11.1321	+	41.5455i	−0.382278	+	1.42668i
$849$	−7.38570	+	2.83927i	−0.253477	+	0.0974434i
$850$	1.27918	−	11.0535i	0.0438754	−	0.379132i
$851$	9.30777	−	16.1215i	0.319066	−	0.552639i
$852$	−1.30530	+	2.93563i	−0.0447189	+	0.100573i
$853$	52.8674	+	14.1658i	1.81015	+	0.485027i	0.995486	−	0.0949126i	$-0.0302572\pi$
$853$	52.8674	+	14.1658i	1.81015	+	0.485027i	0.814660	+	0.579940i	$0.196924\pi$
$854$	−7.77796	−	22.0679i	−0.266156	−	0.755147i
$855$	48.0986	+	5.26286i	1.64494	+	0.179986i
$856$	−8.76218			−0.299485
$857$	−3.00069	+	11.1987i	−0.102502	+	0.382542i	−0.998050	−	0.0624231i	$-0.980117\pi$
$857$	−3.00069	+	11.1987i	−0.102502	+	0.382542i	0.895548	+	0.444965i	$0.146784\pi$
$858$	−25.8254	−	35.5090i	−0.881666	−	1.21226i
$859$	−1.72732	+	2.99181i	−0.0589355	+	0.102079i	−0.893988	−	0.448091i	$-0.852104\pi$
$859$	−1.72732	+	2.99181i	−0.0589355	+	0.102079i	0.835052	+	0.550171i	$0.185437\pi$
$860$	−1.54799	+	0.778539i	−0.0527862	+	0.0265480i
$861$	15.2332	+	5.41127i	0.519145	+	0.184416i
$862$	−19.1312	−	5.12618i	−0.651610	−	0.174598i
$863$	13.6278	+	13.6278i	0.463897	+	0.463897i	0.899930	−	0.436034i	$-0.143617\pi$
$863$	13.6278	+	13.6278i	0.463897	+	0.463897i	−0.436034	+	0.899930i	$0.643617\pi$
$864$	−6.18706	+	4.03089i	−0.210488	+	0.137134i
$865$	−2.50367	−	1.64464i	−0.0851274	−	0.0559196i
$866$	−17.6157	+	10.1704i	−0.598605	+	0.345605i
$867$	−25.4951	+	2.69230i	−0.865858	+	0.0914352i
$868$	3.17251	−	2.17351i	0.107682	−	0.0737738i
$869$	26.1718	+	15.1103i	0.887819	+	0.512583i
$870$	1.56187	+	32.7847i	0.0529522	+	1.11151i
$871$	16.2528	−	9.38358i	0.550706	−	0.317950i
$872$	−36.8114	+	36.8114i	−1.24659	+	1.24659i
$873$	1.97727	−	38.4509i	0.0669203	−	1.30137i
$874$	61.1030			2.06684
$875$	−22.8205	+	18.8208i	−0.771475	+	0.636260i
$876$	−0.802192	−	2.08672i	−0.0271036	−	0.0705037i
$877$	2.56630	+	9.57755i	0.0866577	+	0.323411i	0.995623	−	0.0934610i	$-0.0297930\pi$
$877$	2.56630	+	9.57755i	0.0866577	+	0.323411i	−0.908965	+	0.416872i	$0.863126\pi$
$878$	11.6565	+	43.5026i	0.393388	+	1.46814i
$879$	−39.1889	+	15.0653i	−1.32181	+	0.508139i
$880$	22.3231	−	19.8887i	0.752511	−	0.670448i
$881$		−	6.90193i		−	0.232532i	−0.993218	−	0.116266i	$-0.962907\pi$
$881$		−	6.90193i		−	0.232532i	0.993218	−	0.116266i	$-0.0370925\pi$
$882$	−31.3525	+	3.23273i	−1.05569	+	0.108852i
$883$	9.91036	+	9.91036i	0.333510	+	0.333510i	0.853918	−	0.520408i	$-0.174220\pi$
$883$	9.91036	+	9.91036i	0.333510	+	0.333510i	−0.520408	+	0.853918i	$0.674220\pi$
$884$	−1.82036	+	1.05099i	−0.0612254	+	0.0353485i
$885$	−13.6989	−	12.4530i	−0.460484	−	0.418604i
$886$	25.4735	−	44.1214i	0.855798	−	1.48229i
$887$	−27.2043	+	7.28938i	−0.913432	+	0.244753i	−0.684776	−	0.728754i	$-0.740100\pi$
$887$	−27.2043	+	7.28938i	−0.913432	+	0.244753i	−0.228656	+	0.973507i	$0.573433\pi$
$888$	−1.57331	−	14.8987i	−0.0527969	−	0.499968i
$889$	11.0996	+	9.50833i	0.372268	+	0.318899i
$890$	−0.729066	−	0.478918i	−0.0244384	−	0.0160534i
$891$	21.9505	+	15.8822i	0.735368	+	0.532073i
$892$	−1.32630	−	1.32630i	−0.0444079	−	0.0444079i
$893$	11.3804	−	42.4721i	0.380829	−	1.42127i
$894$	−30.3805	+	37.5544i	−1.01607	+	1.25601i
$895$	10.6251	−	32.1263i	0.355159	−	1.07386i
$896$	33.7402	+	6.30496i	1.12718	+	0.210634i
$897$	44.3576	−	32.2609i	1.48106	−	1.07716i
$898$	2.34712	−	8.75956i	0.0783243	−	0.292310i
$899$	−32.4813			−1.08331
$900$	−2.19848	−	3.08728i	−0.0732828	−	0.102909i
$901$		−	14.3589i		−	0.478364i
$902$	4.12531	−	15.3958i	0.137358	−	0.512626i
$903$	−1.11650	+	14.0097i	−0.0371547	+	0.466213i
$904$	31.6373	+	18.2658i	1.05224	+	0.607512i
$905$	12.0123	−	36.3204i	0.399301	−	1.20733i
$906$	37.5679	−	14.4421i	1.24811	−	0.479808i
$907$	54.4535	+	14.5908i	1.80810	+	0.484479i	0.995195	−	0.0979168i	$-0.0312179\pi$
$907$	54.4535	+	14.5908i	1.80810	+	0.484479i	0.812905	+	0.582396i	$0.197885\pi$
$908$	1.68853	−	1.68853i	0.0560359	−	0.0560359i
$909$	5.42627	−	4.89549i	0.179978	−	0.162373i
$910$	48.3620	+	11.9552i	1.60318	+	0.396311i
$911$	3.23617	+	5.60520i	0.107219	+	0.185709i	0.914643	−	0.404263i	$-0.132472\pi$
$911$	3.23617	+	5.60520i	0.107219	+	0.185709i	−0.807424	+	0.589972i	$0.799139\pi$
$912$	44.8749	−	32.6372i	1.48596	−	1.08073i
$913$	0.450974	+	1.68306i	0.0149251	+	0.0557011i
$914$	28.7259	+	16.5849i	0.950169	+	0.548580i
$915$	−6.94878	−	21.7374i	−0.229720	−	0.718615i
$916$	−1.29621	+	0.748364i	−0.0428278	+	0.0247267i
$917$	0.310512	−	0.648535i	0.0102540	−	0.0214165i
$918$	7.72502	−	8.60496i	0.254964	−	0.284006i
$919$			21.4278i			0.706839i	0.935465	+	0.353420i	$0.114981\pi$
$919$			21.4278i			0.706839i	−0.935465	+	0.353420i	$0.885019\pi$
$920$	22.0180	+	24.7130i	0.725913	+	0.814764i
$921$	−0.534757	+	0.661034i	−0.0176209	+	0.0217818i
$922$	−10.6855	+	2.86317i	−0.351908	+	0.0942935i
$923$	−10.6600	−	39.7836i	−0.350878	−	1.30949i
$924$	0.631837	+	3.42796i	0.0207859	+	0.112772i
$925$	16.3140	−	2.40868i	0.536400	−	0.0791968i
$926$	24.6683			0.810649
$927$	6.79105	+	13.2959i	0.223047	+	0.436695i
$928$	5.67389	+	5.67389i	0.186255	+	0.186255i
$929$	−8.45190	−	14.6391i	−0.277298	−	0.480294i	0.693415	−	0.720539i	$-0.256106\pi$
$929$	−8.45190	−	14.6391i	−0.277298	−	0.480294i	−0.970712	+	0.240245i	$0.922772\pi$
$930$	28.1309	−	18.0788i	0.922450	−	0.592828i
$931$	49.8919	−	7.75101i	1.63514	−	0.254029i
$932$	0.641430	+	2.39385i	0.0210107	+	0.0784132i
$933$	17.6895	−	39.7838i	0.579128	−	1.30246i
$934$	−6.32612	−	10.9572i	−0.206997	−	0.358530i
$935$	−5.47996	+	8.34224i	−0.179214	+	0.272820i
$936$	13.5992	−	41.9943i	0.444504	−	1.37263i
$937$	−7.14404	−	7.14404i	−0.233386	−	0.233386i	0.580719	−	0.814104i	$-0.302772\pi$
$937$	−7.14404	−	7.14404i	−0.233386	−	0.233386i	−0.814104	+	0.580719i	$0.802772\pi$
$938$	−13.2435	+	1.02260i	−0.432417	+	0.0333891i
$939$	−3.18890	+	20.1981i	−0.104066	+	0.659139i
$940$	−3.07698	+	1.54752i	−0.100360	+	0.0504745i
$941$	−40.8266	−	23.5713i	−1.33091	−	0.768401i	−0.345471	−	0.938430i	$-0.612281\pi$
$941$	−40.8266	−	23.5713i	−1.33091	−	0.768401i	−0.985439	+	0.170028i	$0.945614\pi$
$942$	2.27573	+	21.5504i	0.0741474	+	0.702149i
$943$	19.2324	+	5.15330i	0.626292	+	0.167815i
$944$	−21.2308			−0.691003
$945$	−30.6583	+	2.25093i	−0.997316	+	0.0732226i
$946$	13.8570			0.450528
$947$	−29.0118	−	7.77368i	−0.942755	−	0.252611i	−0.245470	−	0.969404i	$-0.578942\pi$
$947$	−29.0118	−	7.77368i	−0.942755	−	0.252611i	−0.697285	+	0.716794i	$0.745609\pi$
$948$	−0.461375	−	4.36906i	−0.0149848	−	0.141900i
$949$	24.8204	+	14.3301i	0.805705	+	0.465174i
$950$	33.6211	+	42.4212i	1.09081	+	1.37633i
$951$	−1.48336	+	9.39540i	−0.0481011	+	0.304667i
$952$	−10.2577	+	0.792050i	−0.332455	+	0.0256705i
$953$	−0.938800	−	0.938800i	−0.0304107	−	0.0304107i	0.691738	−	0.722149i	$-0.256845\pi$
$953$	−0.938800	−	0.938800i	−0.0304107	−	0.0304107i	−0.722149	+	0.691738i	$0.756845\pi$
$954$	−29.2082	−	32.3750i	−0.945651	−	1.04818i
$955$	−4.84099	−	23.3775i	−0.156651	−	0.756479i
$956$	−1.76050	−	3.04928i	−0.0569388	−	0.0986209i
$957$	11.9616	−	26.9017i	0.386663	−	0.869608i
$958$	−14.9079	−	55.6371i	−0.481653	−	1.79755i
$959$	−2.56560	+	13.7295i	−0.0828477	+	0.443349i
$960$	25.5455	+	5.55697i	0.824477	+	0.179350i
$961$	1.04618	+	1.81204i	0.0337478	+	0.0584530i
$962$	−19.6385	−	19.6385i	−0.633170	−	0.633170i
$963$	5.45081	−	8.41158i	0.175650	−	0.271059i
$964$	−3.23273			−0.104119
$965$	−43.8311	−	2.52776i	−1.41097	−	0.0813715i
$966$	−38.1775	+	7.03681i	−1.22834	+	0.226406i
$967$	4.20788	+	15.7040i	0.135316	+	0.505007i	0.999996	+	0.00268441i	$0.000854474\pi$
$967$	4.20788	+	15.7040i	0.135316	+	0.505007i	−0.864680	+	0.502323i	$0.832479\pi$
$968$	4.90796	−	1.31508i	0.157748	−	0.0422684i
$969$	−11.6506	+	14.4018i	−0.374272	+	0.462652i
$970$	32.1593	−	28.6523i	1.03257	−	0.919970i
$971$		−	37.3169i		−	1.19755i	−0.800915	−	0.598777i	$-0.795653\pi$
$971$		−	37.3169i		−	1.19755i	0.800915	−	0.598777i	$-0.204347\pi$
$972$	−0.00966949	−	3.93875i	−0.000310149	−	0.126335i
$973$	32.8689	+	15.7373i	1.05373	+	0.504515i
$974$	12.8376	−	7.41177i	0.411342	−	0.237488i
$975$	46.8046	+	13.0444i	1.49895	+	0.417755i
$976$	−22.6647	−	13.0855i	−0.725479	−	0.418855i
$977$	−11.7392	−	43.8114i	−0.375572	−	1.40165i	−0.852508	−	0.522714i	$-0.824919\pi$
$977$	−11.7392	−	43.8114i	−0.375572	−	1.40165i	0.476936	−	0.878938i	$-0.341747\pi$
$978$	−17.3672	+	12.6311i	−0.555343	+	0.403897i
$979$	0.391223	+	0.677619i	0.0125036	+	0.0216568i
$980$	−3.05304	−	2.51405i	−0.0975259	−	0.0803083i
$981$	−12.4387	−	58.2383i	−0.397138	−	1.85941i
$982$	−39.6310	+	39.6310i	−1.26468	+	1.26468i
$983$	18.0238	+	4.82947i	0.574871	+	0.154036i	0.534530	−	0.845150i	$-0.320489\pi$
$983$	18.0238	+	4.82947i	0.574871	+	0.154036i	0.0403415	+	0.999186i	$0.487155\pi$
$984$	14.9568	−	5.74982i	0.476807	−	0.183298i
$985$	17.9093	−	9.00718i	0.570637	−	0.286993i
$986$	−10.8822	−	6.28287i	−0.346561	−	0.200087i
$987$	−2.21929	+	27.8474i	−0.0706407	+	0.886391i
$988$	2.64645	−	9.87670i	0.0841949	−	0.314220i
$989$			17.3100i			0.550426i
$990$	4.61375	+	29.9564i	0.146635	+	0.952076i
$991$	11.6129			0.368897			0.184449	−	0.982842i	$-0.440950\pi$
$991$	11.6129			0.368897			0.184449	+	0.982842i	$0.440950\pi$
$992$	2.11586	−	7.89650i	0.0671786	−	0.250714i
$993$	14.6132	−	10.6281i	0.463735	−	0.337271i
$994$	−5.35475	+	28.6552i	−0.169842	+	0.908889i
$995$	−43.8867	−	14.5147i	−1.39130	−	0.460146i
$996$	0.159315	−	0.196935i	0.00504807	−	0.00624012i
$997$	−1.46849	+	5.48047i	−0.0465074	+	0.173568i	−0.985273	−	0.170988i	$-0.945304\pi$
$997$	−1.46849	+	5.48047i	−0.0465074	+	0.173568i	0.938766	+	0.344556i	$0.111971\pi$
$998$	15.7780	+	15.7780i	0.499443	+	0.499443i
$999$	15.2813	+	7.75789i	0.483479	+	0.245449i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	315.2.cb.a.13.13	✓	176
3.2	odd	2		945.2.ce.a.118.31		176
5.2	odd	4	inner	315.2.cb.a.202.31	yes	176
7.6	odd	2	inner	315.2.cb.a.13.14	yes	176
9.2	odd	6		945.2.ce.a.748.14		176
9.7	even	3	inner	315.2.cb.a.223.32	yes	176
15.2	even	4		945.2.ce.a.307.13		176
21.20	even	2		945.2.ce.a.118.32		176
35.27	even	4	inner	315.2.cb.a.202.32	yes	176
45.2	even	12		945.2.ce.a.937.32		176
45.7	odd	12	inner	315.2.cb.a.97.14	yes	176
63.20	even	6		945.2.ce.a.748.13		176
63.34	odd	6	inner	315.2.cb.a.223.31	yes	176
105.62	odd	4		945.2.ce.a.307.14		176
315.97	even	12	inner	315.2.cb.a.97.13	yes	176
315.272	odd	12		945.2.ce.a.937.31		176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
315.2.cb.a.13.13	✓	176	1.1	even	1	trivial
315.2.cb.a.13.14	yes	176	7.6	odd	2	inner
315.2.cb.a.97.13	yes	176	315.97	even	12	inner
315.2.cb.a.97.14	yes	176	45.7	odd	12	inner
315.2.cb.a.202.31	yes	176	5.2	odd	4	inner
315.2.cb.a.202.32	yes	176	35.27	even	4	inner
315.2.cb.a.223.31	yes	176	63.34	odd	6	inner
315.2.cb.a.223.32	yes	176	9.7	even	3	inner
945.2.ce.a.118.31		176	3.2	odd	2
945.2.ce.a.118.32		176	21.20	even	2
945.2.ce.a.307.13		176	15.2	even	4
945.2.ce.a.307.14		176	105.62	odd	4
945.2.ce.a.748.13		176	63.20	even	6
945.2.ce.a.748.14		176	9.2	odd	6
945.2.ce.a.937.31		176	315.272	odd	12
945.2.ce.a.937.32		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)

\(f(q)\)	\(=\)	\(q+(-1.44975 - 0.388459i) q^{2} +(-0.181894 - 1.72247i) q^{3} +(0.218820 + 0.126336i) q^{4} +(2.12297 + 0.702131i) q^{5} +(-0.405409 + 2.56781i) q^{6} +(0.203685 + 2.63790i) q^{7} +(1.85442 + 1.85442i) q^{8} +(-2.93383 + 0.626616i) q^{9} +O(q^{10})\)	\(q+(-1.44975 - 0.388459i) q^{2} +(-0.181894 - 1.72247i) q^{3} +(0.218820 + 0.126336i) q^{4} +(2.12297 + 0.702131i) q^{5} +(-0.405409 + 2.56781i) q^{6} +(0.203685 + 2.63790i) q^{7} +(1.85442 + 1.85442i) q^{8} +(-2.93383 + 0.626616i) q^{9} +(-2.80503 - 1.84260i) q^{10} +(1.50520 + 2.60709i) q^{11} +(0.177808 - 0.399891i) q^{12} +(1.45210 + 5.41932i) q^{13} +(0.729423 - 3.90341i) q^{14} +(0.823246 - 3.78448i) q^{15} +(-2.22075 - 3.84645i) q^{16} +(1.04847 + 1.04847i) q^{17} +(4.49673 + 0.231236i) q^{18} -7.21291 q^{19} +(0.375844 + 0.421848i) q^{20} +(4.50666 - 0.830661i) q^{21} +(-1.16942 - 4.36433i) q^{22} +(5.45189 - 1.46083i) q^{23} +(2.85688 - 3.53150i) q^{24} +(4.01402 + 2.98121i) q^{25} -8.42074i q^{26} +(1.61298 + 4.93946i) q^{27} +(-0.288691 + 0.602958i) q^{28} +(4.88990 - 2.82318i) q^{29} +(-2.66361 + 5.16674i) q^{30} +(-4.98189 - 2.87630i) q^{31} +(0.367810 + 1.37268i) q^{32} +(4.21685 - 3.06689i) q^{33} +(-1.11273 - 1.92730i) q^{34} +(-1.41973 + 5.74320i) q^{35} +(-0.721144 - 0.233531i) q^{36} +(2.33216 - 2.33216i) q^{37} +(10.4569 + 2.80192i) q^{38} +(9.07051 - 3.48695i) q^{39} +(2.63484 + 5.23893i) q^{40} +(3.05504 + 1.76383i) q^{41} +(-6.85620 - 0.546403i) q^{42} +(-0.793762 + 2.96236i) q^{43} +0.760643i q^{44} +(-6.66840 - 0.729644i) q^{45} -8.47134 q^{46} +(-1.57778 + 5.88834i) q^{47} +(-6.22147 + 4.52483i) q^{48} +(-6.91702 + 1.07460i) q^{49} +(-4.66125 - 5.88129i) q^{50} +(1.61525 - 1.99667i) q^{51} +(-0.366905 + 1.36931i) q^{52} +(-6.84756 - 6.84756i) q^{53} +(-0.419632 - 7.78756i) q^{54} +(1.36499 + 6.59162i) q^{55} +(-4.51406 + 5.26950i) q^{56} +(1.31199 + 12.4240i) q^{57} +(-8.18581 + 2.19338i) q^{58} +(2.39004 - 4.13968i) q^{59} +(0.658257 - 0.724114i) q^{60} +(5.10293 - 2.94618i) q^{61} +(6.10517 + 6.10517i) q^{62} +(-2.25053 - 7.61151i) q^{63} +6.75007i q^{64} +(-0.722302 + 12.5246i) q^{65} +(-7.30473 + 2.80814i) q^{66} +(-0.865752 - 3.23103i) q^{67} +(0.0969666 + 0.361884i) q^{68} +(-3.50791 - 9.12501i) q^{69} +(4.28926 - 7.77469i) q^{70} -7.34107 q^{71} +(-6.60257 - 4.27854i) q^{72} +(3.61212 - 3.61212i) q^{73} +(-4.28699 + 2.47509i) q^{74} +(4.40493 - 7.45631i) q^{75} +(-1.57833 - 0.911248i) q^{76} +(-6.57065 + 4.50160i) q^{77} +(-14.5045 + 1.53169i) q^{78} +(8.69380 - 5.01937i) q^{79} +(-2.01388 - 9.72517i) q^{80} +(8.21470 - 3.67677i) q^{81} +(-3.74386 - 3.74386i) q^{82} +(0.559080 + 0.149805i) q^{83} +(1.09109 + 0.387587i) q^{84} +(1.48970 + 2.96203i) q^{85} +(2.30151 - 3.98633i) q^{86} +(-5.75230 - 7.90920i) q^{87} +(-2.04336 + 7.62592i) q^{88} +0.259914 q^{89} +(9.38407 + 3.64820i) q^{90} +(-13.9999 + 4.93434i) q^{91} +(1.37754 + 0.369110i) q^{92} +(-4.04817 + 9.10436i) q^{93} +(4.57476 - 7.92371i) q^{94} +(-15.3128 - 5.06441i) q^{95} +(2.29751 - 0.883226i) q^{96} +(-3.32166 + 12.3966i) q^{97} +(10.4454 + 1.12908i) q^{98} +(-6.04965 - 6.70556i) 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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