LMFDB - Embedded newform 95.2.l.c.27.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [95,2,Mod(8,95)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(95, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([9, 2]))

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

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

chi := DirichletCharacter("95.8");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	95.l (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:	$0.758578819202$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$6$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			27.6
Character	$\chi$	$=$	95.27
Dual form			95.2.l.c.88.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.521416 + 1.94595i) q^{2} +(0.398044 - 0.106656i) q^{3} +(-1.78279 + 1.02930i) q^{4} +(2.20851 + 0.349979i) q^{5} +(0.415093 + 0.718962i) q^{6} +(-3.08761 - 3.08761i) q^{7} +(-0.0834685 - 0.0834685i) q^{8} +(-2.45101 + 1.41509i) q^{9} +O(q^{10})$	\(q+(0.521416 + 1.94595i) q^{2} +(0.398044 - 0.106656i) q^{3} +(-1.78279 + 1.02930i) q^{4} +(2.20851 + 0.349979i) q^{5} +(0.415093 + 0.718962i) q^{6} +(-3.08761 - 3.08761i) q^{7} +(-0.0834685 - 0.0834685i) q^{8} +(-2.45101 + 1.41509i) q^{9} +(0.470510 + 4.48013i) q^{10} -2.65768 q^{11} +(-0.599850 + 0.599850i) q^{12} +(1.43015 - 5.33739i) q^{13} +(4.39841 - 7.61827i) q^{14} +(0.916411 - 0.0962428i) q^{15} +(-1.93969 + 3.35964i) q^{16} +(4.42525 - 1.18574i) q^{17} +(-4.03170 - 4.03170i) q^{18} +(-0.164605 + 4.35579i) q^{19} +(-4.29755 + 1.64927i) q^{20} +(-1.55832 - 0.899695i) q^{21} +(-1.38576 - 5.17171i) q^{22} +(0.157845 + 0.0422943i) q^{23} +(-0.0421265 - 0.0243217i) q^{24} +(4.75503 + 1.54586i) q^{25} +11.1320 q^{26} +(-1.69885 + 1.69885i) q^{27} +(8.68265 + 2.32651i) q^{28} +(-0.0271863 - 0.0470881i) q^{29} +(0.665115 + 1.73311i) q^{30} -3.86065i q^{31} +(-7.77712 - 2.08387i) q^{32} +(-1.05787 + 0.283456i) q^{33} +(4.61479 + 7.99305i) q^{34} +(-5.73843 - 7.89963i) q^{35} +(2.91310 - 5.04564i) q^{36} +(-5.48165 + 5.48165i) q^{37} +(-8.56197 + 1.95086i) q^{38} -2.27705i q^{39} +(-0.155129 - 0.213553i) q^{40} +(-2.38598 - 1.37754i) q^{41} +(0.938230 - 3.50152i) q^{42} +(0.812333 + 3.03167i) q^{43} +(4.73809 - 2.73554i) q^{44} +(-5.90834 + 2.26744i) q^{45} +0.329210i q^{46} +(0.177627 - 0.662914i) q^{47} +(-0.413758 + 1.54416i) q^{48} +12.0667i q^{49} +(-0.528827 + 10.0591i) q^{50} +(1.63498 - 0.943955i) q^{51} +(2.94410 + 10.9875i) q^{52} +(0.484269 - 1.80732i) q^{53} +(-4.19168 - 2.42007i) q^{54} +(-5.86951 - 0.930132i) q^{55} +0.515437i q^{56} +(0.399049 + 1.75135i) q^{57} +(0.0774557 - 0.0774557i) q^{58} +(-1.52180 + 2.63583i) q^{59} +(-1.53471 + 1.11484i) q^{60} +(1.43364 + 2.48314i) q^{61} +(7.51263 - 2.01300i) q^{62} +(11.9370 + 3.19852i) q^{63} -8.46168i q^{64} +(5.02648 - 11.2872i) q^{65} +(-1.10318 - 1.91077i) q^{66} +(-5.31702 - 1.42469i) q^{67} +(-6.66883 + 6.66883i) q^{68} +0.0673400 q^{69} +(12.3802 - 15.2857i) q^{70} +(4.34378 + 2.50788i) q^{71} +(0.322698 + 0.0864666i) q^{72} +(2.19774 + 8.20207i) q^{73} +(-13.5252 - 7.80880i) q^{74} +(2.05759 + 0.108171i) q^{75} +(-4.18994 - 7.93490i) q^{76} +(8.20589 + 8.20589i) q^{77} +(4.43103 - 1.18729i) q^{78} +(2.36999 - 4.10495i) q^{79} +(-5.45963 + 6.74095i) q^{80} +(3.75025 - 6.49563i) q^{81} +(1.43655 - 5.36126i) q^{82} +(4.64315 - 4.64315i) q^{83} +3.70421 q^{84} +(10.1882 - 1.06998i) q^{85} +(-5.47591 + 3.16152i) q^{86} +(-0.0158436 - 0.0158436i) q^{87} +(0.221832 + 0.221832i) q^{88} +(3.46994 + 6.01011i) q^{89} +(-7.49303 - 10.3150i) q^{90} +(-20.8956 + 12.0641i) q^{91} +(-0.324938 + 0.0870668i) q^{92} +(-0.411760 - 1.53671i) q^{93} +1.38261 q^{94} +(-1.88797 + 9.56220i) q^{95} -3.31789 q^{96} +(-4.42044 - 16.4973i) q^{97} +(-23.4813 + 6.29178i) q^{98} +(6.51400 - 3.76086i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q + 6 q^{3} - 2 q^{5} - 20 q^{6} - 12 q^{7}+O(q^{10}) $ 24 * q + 6 * q^3 - 2 * q^5 - 20 * q^6 - 12 * q^7	$ 24 q + 6 q^{3} - 2 q^{5} - 20 q^{6} - 12 q^{7} - 24 q^{10} + 16 q^{11} - 12 q^{13} - 12 q^{15} - 4 q^{16} + 16 q^{17} + 16 q^{20} + 12 q^{21} - 24 q^{22} - 8 q^{25} + 32 q^{26} + 4 q^{28} + 76 q^{30} - 36 q^{32} - 36 q^{33} + 18 q^{35} - 52 q^{36} + 38 q^{38} - 60 q^{40} - 18 q^{42} + 2 q^{43} - 52 q^{45} + 2 q^{47} + 96 q^{48} - 6 q^{52} + 36 q^{53} - 22 q^{55} + 48 q^{57} - 56 q^{58} + 54 q^{60} + 12 q^{61} + 22 q^{62} + 30 q^{63} - 40 q^{66} + 48 q^{67} - 116 q^{68} + 42 q^{70} - 24 q^{71} + 96 q^{72} - 28 q^{73} + 8 q^{76} - 12 q^{77} + 84 q^{78} + 34 q^{80} + 24 q^{81} + 20 q^{82} - 24 q^{83} - 36 q^{85} - 12 q^{86} - 100 q^{87} + 54 q^{90} - 108 q^{91} - 4 q^{92} + 12 q^{93} - 18 q^{95} - 48 q^{96} - 6 q^{97} - 78 q^{98}+O(q^{100}) $ 24 * q + 6 * q^3 - 2 * q^5 - 20 * q^6 - 12 * q^7 - 24 * q^10 + 16 * q^11 - 12 * q^13 - 12 * q^15 - 4 * q^16 + 16 * q^17 + 16 * q^20 + 12 * q^21 - 24 * q^22 - 8 * q^25 + 32 * q^26 + 4 * q^28 + 76 * q^30 - 36 * q^32 - 36 * q^33 + 18 * q^35 - 52 * q^36 + 38 * q^38 - 60 * q^40 - 18 * q^42 + 2 * q^43 - 52 * q^45 + 2 * q^47 + 96 * q^48 - 6 * q^52 + 36 * q^53 - 22 * q^55 + 48 * q^57 - 56 * q^58 + 54 * q^60 + 12 * q^61 + 22 * q^62 + 30 * q^63 - 40 * q^66 + 48 * q^67 - 116 * q^68 + 42 * q^70 - 24 * q^71 + 96 * q^72 - 28 * q^73 + 8 * q^76 - 12 * q^77 + 84 * q^78 + 34 * q^80 + 24 * q^81 + 20 * q^82 - 24 * q^83 - 36 * q^85 - 12 * q^86 - 100 * q^87 + 54 * q^90 - 108 * q^91 - 4 * q^92 + 12 * q^93 - 18 * q^95 - 48 * q^96 - 6 * q^97 - 78 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{4}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.521416	+	1.94595i	0.368696	+	1.37599i	0.862340	+	0.506330i	$0.168998\pi$
$2$	0.521416	+	1.94595i	0.368696	+	1.37599i	−0.493643	+	0.869664i	$0.664335\pi$
$3$	0.398044	−	0.106656i	0.229811	−	0.0615776i	−0.142076	−	0.989856i	$-0.545378\pi$
$3$	0.398044	−	0.106656i	0.229811	−	0.0615776i	0.371887	+	0.928278i	$0.378711\pi$
$4$	−1.78279	+	1.02930i	−0.891397	+	0.514648i
$5$	2.20851	+	0.349979i	0.987676	+	0.156515i
$5$	2.20851	+	0.349979i	0.987676	+	0.156515i
$6$	0.415093	+	0.718962i	0.169461	+	0.293515i
$7$	−3.08761	−	3.08761i	−1.16701	−	1.16701i	−0.982907	−	0.184102i	$-0.941062\pi$
$7$	−3.08761	−	3.08761i	−1.16701	−	1.16701i	−0.184102	−	0.982907i	$-0.558938\pi$
$8$	−0.0834685	−	0.0834685i	−0.0295106	−	0.0295106i
$9$	−2.45101	+	1.41509i	−0.817004	+	0.471698i
$10$	0.470510	+	4.48013i	0.148788	+	1.41674i
$11$	−2.65768			−0.801320			−0.400660	−	0.916227i	$-0.631219\pi$
$11$	−2.65768			−0.801320			−0.400660	+	0.916227i	$0.631219\pi$
$12$	−0.599850	+	0.599850i	−0.173162	+	0.173162i
$13$	1.43015	−	5.33739i	0.396652	−	1.48033i	−0.422295	−	0.906458i	$-0.638775\pi$
$13$	1.43015	−	5.33739i	0.396652	−	1.48033i	0.818948	−	0.573868i	$-0.194558\pi$
$14$	4.39841	−	7.61827i	1.17553	−	2.03607i
$15$	0.916411	−	0.0962428i	0.236616	−	0.0248498i
$16$	−1.93969	+	3.35964i	−0.484922	+	0.839910i
$17$	4.42525	−	1.18574i	1.07328	−	0.287585i	0.321440	−	0.946930i	$-0.395833\pi$
$17$	4.42525	−	1.18574i	1.07328	−	0.287585i	0.751840	+	0.659345i	$0.229166\pi$
$18$	−4.03170	−	4.03170i	−0.950280	−	0.950280i
$19$	−0.164605	+	4.35579i	−0.0377630	+	0.999287i
$19$	−0.164605	+	4.35579i	−0.0377630	+	0.999287i
$20$	−4.29755	+	1.64927i	−0.960962	+	0.368788i
$21$	−1.55832	−	0.899695i	−0.340053	−	0.196330i
$22$	−1.38576	−	5.17171i	−0.295444	−	1.10261i
$23$	0.157845	+	0.0422943i	0.0329129	+	0.00881897i	0.275238	−	0.961376i	$-0.411243\pi$
$23$	0.157845	+	0.0422943i	0.0329129	+	0.00881897i	−0.242325	+	0.970195i	$0.577910\pi$
$24$	−0.0421265	−	0.0243217i	−0.00859904	−	0.00496466i
$25$	4.75503	+	1.54586i	0.951006	+	0.309173i
$26$	11.1320			2.18317
$27$	−1.69885	+	1.69885i	−0.326944	+	0.326944i
$28$	8.68265	+	2.32651i	1.64087	+	0.439669i
$29$	−0.0271863	−	0.0470881i	−0.00504838	−	0.00874405i	0.863490	−	0.504366i	$-0.168274\pi$
$29$	−0.0271863	−	0.0470881i	−0.00504838	−	0.00874405i	−0.868539	+	0.495622i	$0.834940\pi$
$30$	0.665115	+	1.73311i	0.121433	+	0.316421i
$31$		−	3.86065i		−	0.693394i	−0.937977	−	0.346697i	$-0.887303\pi$
$31$		−	3.86065i		−	0.693394i	0.937977	−	0.346697i	$-0.112697\pi$
$32$	−7.77712	−	2.08387i	−1.37481	−	0.368380i
$33$	−1.05787	+	0.283456i	−0.184152	+	0.0493434i
$34$	4.61479	+	7.99305i	0.791430	+	1.37080i
$35$	−5.73843	−	7.89963i	−0.969971	−	1.33528i
$36$	2.91310	−	5.04564i	0.485517	−	0.840940i
$37$	−5.48165	+	5.48165i	−0.901178	+	0.901178i	−0.995538	−	0.0943604i	$-0.969919\pi$
$37$	−5.48165	+	5.48165i	−0.901178	+	0.901178i	0.0943604	+	0.995538i	$0.469919\pi$
$38$	−8.56197	+	1.95086i	−1.38894	+	0.316472i
$39$		−	2.27705i		−	0.364620i
$40$	−0.155129	−	0.213553i	−0.0245280	−	0.0337657i
$41$	−2.38598	−	1.37754i	−0.372627	−	0.215136i	0.301979	−	0.953315i	$-0.402353\pi$
$41$	−2.38598	−	1.37754i	−0.372627	−	0.215136i	−0.674605	+	0.738178i	$0.735686\pi$
$42$	0.938230	−	3.50152i	0.144772	−	0.540297i
$43$	0.812333	+	3.03167i	0.123880	+	0.462325i	0.999797	−	0.0201356i	$-0.00640981\pi$
$43$	0.812333	+	3.03167i	0.123880	+	0.462325i	−0.875918	+	0.482461i	$0.839743\pi$
$44$	4.73809	−	2.73554i	0.714295	−	0.412398i
$45$	−5.90834	+	2.26744i	−0.880763	+	0.338010i
$46$			0.329210i			0.0485394i
$47$	0.177627	−	0.662914i	0.0259096	−	0.0966959i	−0.951760	−	0.306843i	$-0.900727\pi$
$47$	0.177627	−	0.662914i	0.0259096	−	0.0966959i	0.977670	+	0.210147i	$0.0673941\pi$
$48$	−0.413758	+	1.54416i	−0.0597208	+	0.222881i
$49$			12.0667i			1.72382i
$50$	−0.528827	+	10.0591i	−0.0747874	+	1.42257i
$51$	1.63498	−	0.943955i	0.228943	−	0.132180i
$52$	2.94410	+	10.9875i	0.408273	+	1.52370i
$53$	0.484269	−	1.80732i	0.0665194	−	0.248254i	−0.924657	−	0.380800i	$-0.875649\pi$
$53$	0.484269	−	1.80732i	0.0665194	−	0.248254i	0.991177	+	0.132546i	$0.0423153\pi$
$54$	−4.19168	−	2.42007i	−0.570415	−	0.329330i
$55$	−5.86951	−	0.930132i	−0.791444	−	0.125419i
$56$			0.515437i			0.0688782i
$57$	0.399049	+	1.75135i	0.0528554	+	0.231972i
$58$	0.0774557	−	0.0774557i	0.0101704	−	0.0101704i
$59$	−1.52180	+	2.63583i	−0.198121	+	0.343156i	−0.947919	−	0.318511i	$-0.896817\pi$
$59$	−1.52180	+	2.63583i	−0.198121	+	0.343156i	0.749798	+	0.661667i	$0.230151\pi$
$60$	−1.53471	+	1.11484i	−0.198130	+	0.143925i
$61$	1.43364	+	2.48314i	0.183559	+	0.317934i	0.943090	−	0.332537i	$-0.107905\pi$
$61$	1.43364	+	2.48314i	0.183559	+	0.317934i	−0.759531	+	0.650471i	$0.774571\pi$
$62$	7.51263	−	2.01300i	0.954105	−	0.255652i
$63$	11.9370	+	3.19852i	1.50393	+	0.402976i
$64$		−	8.46168i		−	1.05771i
$65$	5.02648	−	11.2872i	0.623458	−	1.40000i
$66$	−1.10318	−	1.91077i	−0.135792	−	0.235199i
$67$	−5.31702	−	1.42469i	−0.649578	−	0.174054i	−0.0810398	−	0.996711i	$-0.525824\pi$
$67$	−5.31702	−	1.42469i	−0.649578	−	0.174054i	−0.568538	+	0.822657i	$0.692491\pi$
$68$	−6.66883	+	6.66883i	−0.808714	+	0.808714i
$69$	0.0673400			0.00810678
$70$	12.3802	−	15.2857i	1.47971	−	1.82699i
$71$	4.34378	+	2.50788i	0.515511	+	0.297631i	0.735096	−	0.677963i	$-0.237137\pi$
$71$	4.34378	+	2.50788i	0.515511	+	0.297631i	−0.219585	+	0.975593i	$0.570470\pi$
$72$	0.322698	+	0.0864666i	0.0380303	+	0.0101902i
$73$	2.19774	+	8.20207i	0.257226	+	0.959979i	0.966839	+	0.255388i	$0.0822031\pi$
$73$	2.19774	+	8.20207i	0.257226	+	0.959979i	−0.709613	+	0.704592i	$0.751130\pi$
$74$	−13.5252	−	7.80880i	−1.57228	−	0.907754i
$75$	2.05759	+	0.108171i	0.237590	+	0.0124906i
$76$	−4.18994	−	7.93490i	−0.480619	−	0.910196i
$77$	8.20589	+	8.20589i	0.935148	+	0.935148i
$78$	4.43103	−	1.18729i	0.501715	−	0.134434i
$79$	2.36999	−	4.10495i	0.266645	−	0.461843i	−0.701348	−	0.712819i	$-0.747418\pi$
$79$	2.36999	−	4.10495i	0.266645	−	0.461843i	0.967993	+	0.250976i	$0.0807515\pi$
$80$	−5.45963	+	6.74095i	−0.610405	+	0.753661i
$81$	3.75025	−	6.49563i	0.416695	−	0.721737i
$82$	1.43655	−	5.36126i	0.158640	−	0.592052i
$83$	4.64315	−	4.64315i	0.509651	−	0.509651i	−0.404768	−	0.914419i	$-0.632648\pi$
$83$	4.64315	−	4.64315i	0.509651	−	0.509651i	0.914419	+	0.404768i	$0.132648\pi$
$84$	3.70421			0.404163
$85$	10.1882	−	1.06998i	1.10506	−	0.116055i
$86$	−5.47591	+	3.16152i	−0.590483	+	0.340915i
$87$	−0.0158436	−	0.0158436i	−0.00169861	−	0.00169861i
$88$	0.221832	+	0.221832i	0.0236474	+	0.0236474i
$89$	3.46994	+	6.01011i	0.367813	+	0.637070i	0.989223	−	0.146415i	$-0.0467734\pi$
$89$	3.46994	+	6.01011i	0.367813	+	0.637070i	−0.621411	+	0.783485i	$0.713440\pi$
$90$	−7.49303	−	10.3150i	−0.789835	−	1.08730i
$91$	−20.8956	+	12.0641i	−2.19045	+	1.26466i
$92$	−0.324938	+	0.0870668i	−0.0338771	+	0.00907734i
$93$	−0.411760	−	1.53671i	−0.0426975	−	0.159349i
$94$	1.38261			0.142606
$95$	−1.88797	+	9.56220i	−0.193701	+	0.981061i
$96$	−3.31789			−0.338631
$97$	−4.42044	−	16.4973i	−0.448827	−	1.67505i	−0.705628	−	0.708582i	$-0.749335\pi$
$97$	−4.42044	−	16.4973i	−0.448827	−	1.67505i	0.256801	−	0.966464i	$-0.417332\pi$
$98$	−23.4813	+	6.29178i	−2.37196	+	0.635566i
$99$	6.51400	−	3.76086i	0.654682	−	0.377981i
$100$	−10.0684	+	2.13838i	−1.00684	+	0.213838i
$101$	2.39510	+	4.14844i	0.238321	+	0.412785i	0.960233	−	0.279201i	$-0.0900695\pi$
$101$	2.39510	+	4.14844i	0.238321	+	0.412785i	−0.721911	+	0.691986i	$0.756736\pi$
$102$	2.68939	+	2.68939i	0.266290	+	0.266290i
$103$	−1.80617	−	1.80617i	−0.177967	−	0.177967i	0.612502	−	0.790469i	$-0.290163\pi$
$103$	−1.80617	−	1.80617i	−0.177967	−	0.177967i	−0.790469	+	0.612502i	$0.790163\pi$
$104$	−0.564877	+	0.326132i	−0.0553907	+	0.0319798i
$105$	−3.12669	−	2.53236i	−0.305133	−	0.247133i
$106$	3.76945			0.366121
$107$	9.24097	−	9.24097i	0.893358	−	0.893358i	−0.101480	−	0.994838i	$-0.532358\pi$
$107$	9.24097	−	9.24097i	0.893358	−	0.893358i	0.994838	+	0.101480i	$0.0323577\pi$
$108$	1.28008	−	4.77732i	0.123176	−	0.459698i
$109$	4.56820	−	7.91235i	0.437554	−	0.757866i	−0.559946	−	0.828529i	$-0.689178\pi$
$109$	4.56820	−	7.91235i	0.437554	−	0.757866i	0.997500	+	0.0706633i	$0.0225116\pi$
$110$	−1.25046	−	11.9068i	−0.119227	−	1.13526i
$111$	−1.59729	+	2.76659i	−0.151608	+	0.262593i
$112$	16.3623	−	4.38426i	1.54609	−	0.414274i
$113$	−3.98883	−	3.98883i	−0.375238	−	0.375238i	0.494143	−	0.869381i	$-0.335482\pi$
$113$	−3.98883	−	3.98883i	−0.375238	−	0.375238i	−0.869381	+	0.494143i	$0.835482\pi$
$114$	−3.19997	+	1.68971i	−0.299705	+	0.158256i
$115$	0.333799	+	0.148650i	0.0311269	+	0.0138617i
$116$	0.0969353	+	0.0559656i	0.00900022	+	0.00519628i
$117$	4.04759	+	15.1058i	0.374200	+	1.39653i
$118$	−5.92269	−	1.58698i	−0.545228	−	0.146093i
$119$	−17.3246	−	10.0024i	−1.58814	−	0.916914i
$120$	−0.0845247	−	0.0684582i	−0.00771601	−	0.00624935i
$121$	−3.93674			−0.357886
$122$	−4.08455	+	4.08455i	−0.369798	+	0.369798i
$123$	−1.09665	−	0.293846i	−0.0988813	−	0.0264952i
$124$	3.97376	+	6.88275i	0.356854	+	0.618089i
$125$	9.96051	+	5.07822i	0.890895	+	0.454209i
$126$			24.8966i			2.21797i
$127$	7.26790	+	1.94743i	0.644922	+	0.172806i	0.566432	−	0.824109i	$-0.308323\pi$
$127$	7.26790	+	1.94743i	0.644922	+	0.172806i	0.0784901	+	0.996915i	$0.474990\pi$
$128$	0.911769	−	0.244308i	0.0805897	−	0.0215940i
$129$	0.646689	+	1.12010i	0.0569378	+	0.0986191i
$130$	24.5851	+	3.89597i	2.15626	+	0.341699i
$131$	−0.0778614	+	0.134860i	−0.00680278	+	0.0117828i	−0.869407	−	0.494097i	$-0.835499\pi$
$131$	−0.0778614	+	0.134860i	−0.00680278	+	0.0117828i	0.862604	+	0.505880i	$0.168832\pi$
$132$	1.59421	−	1.59421i	0.138758	−	0.138758i
$133$	13.9572	−	12.9408i	1.21025	−	1.12211i
$134$		−	11.0895i		−	0.957988i
$135$	−4.34649	+	3.15736i	−0.374086	+	0.271743i
$136$	−0.468341	−	0.270397i	−0.0401599	−	0.0231863i
$137$	−2.92489	+	10.9159i	−0.249891	+	0.932604i	0.720971	+	0.692965i	$0.243696\pi$
$137$	−2.92489	+	10.9159i	−0.249891	+	0.932604i	−0.970862	+	0.239639i	$0.922971\pi$
$138$	0.0351121	+	0.131040i	0.00298894	+	0.0111549i
$139$	−16.0929	+	9.29124i	−1.36498	+	0.788073i	−0.990282	−	0.139073i	$-0.955588\pi$
$139$	−16.0929	+	9.29124i	−1.36498	+	0.788073i	−0.374700	+	0.927146i	$0.622254\pi$
$140$	18.3615	+	8.17687i	1.55183	+	0.691071i
$141$		−	0.282814i		−	0.0238172i
$142$	−2.61530	+	9.76042i	−0.219471	+	0.819076i
$143$	−3.80088	+	14.1851i	−0.317846	+	1.18622i
$144$		−	10.9794i		−	0.914947i
$145$	−0.0435615	−	0.113509i	−0.00361758	−	0.00942643i
$146$	−14.8149	+	8.55337i	−1.22609	+	0.707882i
$147$	1.28698	+	4.80309i	0.106149	+	0.396152i
$148$	4.13041	−	15.4149i	0.339518	−	1.26710i
$149$	14.1681	+	8.17994i	1.16069	+	0.670127i	0.951470	−	0.307741i	$-0.0995729\pi$
$149$	14.1681	+	8.17994i	1.16069	+	0.670127i	0.209224	+	0.977868i	$0.432906\pi$
$150$	0.862361	+	4.06036i	0.0704115	+	0.331527i
$151$		−	9.83117i		−	0.800050i	−0.916504	−	0.400025i	$-0.869001\pi$
$151$		−	9.83117i		−	0.800050i	0.916504	−	0.400025i	$-0.130999\pi$
$152$	0.377310	−	0.349832i	0.0306039	−	0.0283751i
$153$	−9.16841	+	9.16841i	−0.741222	+	0.741222i
$154$	−11.6896	+	20.2469i	−0.941972	+	1.63154i
$155$	1.35115	−	8.52629i	0.108527	−	0.684848i
$156$	2.34376	+	4.05951i	0.187651	+	0.325021i
$157$	−0.681626	+	0.182641i	−0.0543997	+	0.0145763i	−0.285916	−	0.958255i	$-0.592298\pi$
$157$	−0.681626	+	0.182641i	−0.0543997	+	0.0145763i	0.231517	+	0.972831i	$0.425631\pi$
$158$	9.22378	+	2.47150i	0.733804	+	0.196622i
$159$		−	0.771041i		−	0.0611475i
$160$	−16.4465	−	7.32408i	−1.30021	−	0.579019i
$161$	−0.356775	−	0.617952i	−0.0281178	−	0.0487014i
$162$	14.5956	+	3.91088i	1.14674	+	0.307268i
$163$	10.7983	−	10.7983i	0.845792	−	0.845792i	−0.143813	−	0.989605i	$-0.545936\pi$
$163$	10.7983	−	10.7983i	0.845792	−	0.845792i	0.989605	+	0.143813i	$0.0459364\pi$
$164$	5.67161			0.442878
$165$	−2.43553	+	0.255783i	−0.189606	+	0.0199126i
$166$	11.4563	+	6.61432i	0.889184	+	0.513371i
$167$	5.19116	+	1.39097i	0.401704	+	0.107636i	0.454014	−	0.890995i	$-0.349992\pi$
$167$	5.19116	+	1.39097i	0.401704	+	0.107636i	−0.0523099	+	0.998631i	$0.516658\pi$
$168$	0.0549742	+	0.205167i	0.00424135	+	0.0158289i
$169$	−15.1841	−	8.76655i	−1.16801	−	0.674350i
$170$	7.39441	+	19.2678i	0.567125	+	1.47777i
$171$	−5.76040	−	10.9090i	−0.440509	−	0.834234i
$172$	−4.56871	−	4.56871i	−0.348361	−	0.348361i
$173$	4.71542	−	1.26349i	0.358507	−	0.0960616i	−0.0750699	−	0.997178i	$-0.523918\pi$
$173$	4.71542	−	1.26349i	0.358507	−	0.0960616i	0.433577	+	0.901117i	$0.357251\pi$
$174$	0.0225697	−	0.0390919i	0.00171101	−	0.00296355i
$175$	−9.90867	−	19.4547i	−0.749025	−	1.47064i
$176$	5.15507	−	8.92885i	0.388578	−	0.673037i
$177$	−0.324617	+	1.21149i	−0.0243997	+	0.0910609i
$178$	−9.88609	+	9.88609i	−0.740994	+	0.740994i
$179$	−0.158275			−0.0118300			−0.00591501	−	0.999983i	$-0.501883\pi$
$179$	−0.158275			−0.0118300			−0.00591501	+	0.999983i	$0.501883\pi$
$180$	8.19948	−	10.1238i	0.611153	−	0.754585i
$181$	0.543364	−	0.313712i	0.0403880	−	0.0233180i	−0.479670	−	0.877449i	$-0.659244\pi$
$181$	0.543364	−	0.313712i	0.0403880	−	0.0233180i	0.520058	+	0.854131i	$0.325910\pi$
$182$	−34.3713	−	34.3713i	−2.54777	−	2.54777i
$183$	0.835495	+	0.835495i	0.0617615	+	0.0617615i
$184$	−0.00964480	−	0.0167053i	−0.000711024	−	0.00123153i
$185$	−14.0247	+	10.1878i	−1.03112	+	0.749023i
$186$	2.77566	−	1.60253i	0.203521	−	0.117503i
$187$	−11.7609	+	3.15132i	−0.860042	+	0.230447i
$188$	0.365662	+	1.36467i	0.0266687	+	0.0995288i
$189$	10.4908			0.763092
$190$	−19.5920	+	1.31199i	−1.42135	+	0.0951817i
$191$	18.9847			1.37368			0.686842	−	0.726807i	$-0.258997\pi$
$191$	18.9847			1.37368			0.686842	+	0.726807i	$0.258997\pi$
$192$	−0.902485	−	3.36812i	−0.0651313	−	0.243073i
$193$	−21.0530	+	5.64114i	−1.51543	+	0.406058i	−0.918235	−	0.396037i	$-0.870385\pi$
$193$	−21.0530	+	5.64114i	−1.51543	+	0.406058i	−0.597196	+	0.802095i	$0.703719\pi$
$194$	29.7980	−	17.2039i	2.13937	−	1.23517i
$195$	0.796920	−	5.02889i	0.0570686	−	0.360126i
$196$	−12.4202	−	21.5125i	−0.887161	−	1.53661i
$197$	−8.92720	−	8.92720i	−0.636037	−	0.636037i	0.313539	−	0.949575i	$-0.398485\pi$
$197$	−8.92720	−	8.92720i	−0.636037	−	0.636037i	−0.949575	+	0.313539i	$0.898485\pi$
$198$	10.7149	+	10.7149i	0.761478	+	0.761478i
$199$	−16.2695	+	9.39320i	−1.15331	+	0.665867i	−0.949693	−	0.313183i	$-0.898605\pi$
$199$	−16.2695	+	9.39320i	−1.15331	+	0.665867i	−0.203622	+	0.979050i	$0.565271\pi$
$200$	−0.267864	−	0.525926i	−0.0189409	−	0.0371886i
$201$	−2.26836			−0.159998
$202$	−6.82380	+	6.82380i	−0.480121	+	0.480121i
$203$	−0.0614491	+	0.229331i	−0.00431288	+	0.0160959i
$204$	−1.94322	+	3.36576i	−0.136053	+	0.235650i
$205$	−4.78734	−	3.87736i	−0.334362	−	0.270807i
$206$	2.57295	−	4.45648i	0.179266	−	0.310498i
$207$	−0.446729	+	0.119701i	−0.0310498	+	0.00831978i
$208$	15.1577	+	15.1577i	1.05100	+	1.05100i
$209$	0.437468	−	11.5763i	0.0302603	−	0.800749i
$210$	3.29755	−	7.40479i	0.227553	−	0.510979i
$211$	11.9985	+	6.92735i	0.826013	+	0.476899i	0.852486	−	0.522751i	$-0.175094\pi$
$211$	11.9985	+	6.92735i	0.826013	+	0.476899i	−0.0264727	+	0.999650i	$0.508428\pi$
$212$	0.996913	+	3.72053i	0.0684682	+	0.255527i
$213$	1.99649	+	0.534959i	0.136798	+	0.0366548i
$214$	22.8008	+	13.1641i	1.55863	+	0.899877i
$215$	0.733025	+	6.97977i	0.0499919	+	0.476016i
$216$	0.283601			0.0192966
$217$	−11.9202	+	11.9202i	−0.809196	+	0.809196i
$218$	17.7790	+	4.76386i	1.20414	+	0.322649i
$219$	1.74959	+	3.03038i	0.118226	+	0.204774i
$220$	11.4215	−	4.38323i	0.770038	−	0.295518i
$221$		−	25.3151i		−	1.70288i
$222$	−6.21649	−	1.66570i	−0.417223	−	0.111795i
$223$	−20.9018	+	5.60063i	−1.39969	+	0.375046i	−0.878234	−	0.478232i	$-0.841278\pi$
$223$	−20.9018	+	5.60063i	−1.39969	+	0.375046i	−0.521457	+	0.853278i	$0.674611\pi$
$224$	17.5785	+	30.4469i	1.17452	+	2.03432i
$225$	−13.8422	+	2.93988i	−0.922812	+	0.195992i
$226$	5.68222	−	9.84190i	0.377976	−	0.654674i
$227$	18.2677	−	18.2677i	1.21247	−	1.21247i	0.242260	−	0.970211i	$-0.422111\pi$
$227$	18.2677	−	18.2677i	1.21247	−	1.21247i	0.970211	−	0.242260i	$-0.0778886\pi$
$228$	−2.51408	−	2.71156i	−0.166499	−	0.179578i
$229$		−	12.5472i		−	0.829140i	−0.910017	−	0.414570i	$-0.863932\pi$
$229$		−	12.5472i		−	0.829140i	0.910017	−	0.414570i	$-0.136068\pi$
$230$	−0.115217	+	0.727064i	−0.00759717	+	0.0479412i
$231$	4.14151	+	2.39110i	0.272491	+	0.157323i
$232$	−0.00166117	+	0.00619958i	−0.000109061	+	0.000407022i
$233$	−3.30020	−	12.3165i	−0.216203	−	0.806881i	−0.985740	−	0.168278i	$-0.946179\pi$
$233$	−3.30020	−	12.3165i	−0.216203	−	0.806881i	0.769536	−	0.638603i	$-0.220487\pi$
$234$	−27.2847	+	15.7528i	−1.78366	+	1.02979i
$235$	0.624297	−	1.40189i	0.0407247	−	0.0914490i
$236$		−	6.26553i		−	0.407851i
$237$	0.505546	−	1.88672i	0.0328388	−	0.122556i
$238$	10.4308	−	38.9281i	0.676126	−	2.52334i
$239$		−	13.5474i		−	0.876307i	−0.898900	−	0.438153i	$-0.855633\pi$
$239$		−	13.5474i		−	0.876307i	0.898900	−	0.438153i	$-0.144367\pi$
$240$	−1.45421	+	3.26549i	−0.0938690	+	0.210787i
$241$	17.0885	−	9.86608i	1.10077	−	0.635530i	0.164347	−	0.986403i	$-0.447448\pi$
$241$	17.0885	−	9.86608i	1.10077	−	0.635530i	0.936423	+	0.350873i	$0.114115\pi$
$242$	−2.05268	−	7.66071i	−0.131951	−	0.492449i
$243$	2.66544	−	9.94754i	0.170988	−	0.638135i
$244$	−5.11178	−	2.95129i	−0.327248	−	0.188937i
$245$	−4.22310	+	26.6495i	−0.269804	+	1.70257i
$246$		−	2.28723i		−	0.145829i
$247$	23.0132	+	7.10800i	1.46429	+	0.452271i
$248$	−0.322243	+	0.322243i	−0.0204624	+	0.0204624i
$249$	1.35296	−	2.34339i	0.0857403	−	0.148507i
$250$	−4.68839	+	22.0305i	−0.296520	+	1.39333i
$251$	13.4788	+	23.3459i	0.850772	+	1.47358i	0.880513	+	0.474023i	$0.157199\pi$
$251$	13.4788	+	23.3459i	0.850772	+	1.47358i	−0.0297407	+	0.999558i	$0.509468\pi$
$252$	−24.5735	+	6.58446i	−1.54799	+	0.414782i
$253$	−0.419500	−	0.112405i	−0.0263737	−	0.00706682i
$254$			15.1584i			0.951122i
$255$	3.94123	−	1.51253i	0.246809	−	0.0947181i
$256$	−7.51086	−	13.0092i	−0.469429	−	0.813074i
$257$	−21.3492	−	5.72050i	−1.33173	−	0.356835i	−0.478368	−	0.878159i	$-0.658772\pi$
$257$	−21.3492	−	5.72050i	−1.33173	−	0.356835i	−0.853359	+	0.521324i	$0.825438\pi$
$258$	−1.84246	+	1.84246i	−0.114707	+	0.114707i
$259$	33.8504			2.10336
$260$	2.65667	+	25.2964i	0.164759	+	1.56882i
$261$	0.133268	+	0.0769424i	0.00824909	+	0.00476262i
$262$	−0.303029	−	0.0811963i	−0.0187212	−	0.00501632i
$263$	2.96872	+	11.0794i	0.183059	+	0.683187i	0.995038	+	0.0994990i	$0.0317240\pi$
$263$	2.96872	+	11.0794i	0.183059	+	0.683187i	−0.811978	+	0.583687i	$0.801609\pi$
$264$	0.111959	+	0.0646394i	0.00689058	+	0.00397828i
$265$	1.70203	−	3.82199i	0.104555	−	0.234783i
$266$	32.4596	+	20.4126i	1.99023	+	1.25157i
$267$	2.02220	+	2.02220i	0.123757	+	0.123757i
$268$	10.9456	−	2.93286i	0.668608	−	0.179153i
$269$	7.48276	−	12.9605i	0.456232	−	0.790217i	−0.542526	−	0.840039i	$-0.682532\pi$
$269$	7.48276	−	12.9605i	0.456232	−	0.790217i	0.998758	+	0.0498222i	$0.0158655\pi$
$270$	−8.41039	−	6.81174i	−0.511840	−	0.414549i
$271$	−8.29720	+	14.3712i	−0.504019	+	0.872986i	0.495970	+	0.868339i	$0.334812\pi$
$271$	−8.29720	+	14.3712i	−0.504019	+	0.872986i	−0.999989	+	0.00464666i	$0.998521\pi$
$272$	−4.59994	+	17.1672i	−0.278913	+	1.04092i
$273$	−7.03066	+	7.03066i	−0.425515	+	0.425515i
$274$	−22.7668			−1.37539
$275$	−12.6373	−	4.10841i	−0.762060	−	0.247746i
$276$	−0.120053	+	0.0693129i	−0.00722636	+	0.00417214i
$277$	7.29514	+	7.29514i	0.438322	+	0.438322i	0.891447	−	0.453125i	$-0.149691\pi$
$277$	7.29514	+	7.29514i	0.438322	+	0.438322i	−0.453125	+	0.891447i	$0.649691\pi$
$278$	−26.4714	−	26.4714i	−1.58765	−	1.58765i
$279$	5.46318	+	9.46251i	0.327072	+	0.566505i
$280$	−0.180392	+	1.13835i	−0.0107805	+	0.0680293i
$281$	−8.01873	+	4.62961i	−0.478357	+	0.276180i	−0.719732	−	0.694252i	$-0.755735\pi$
$281$	−8.01873	+	4.62961i	−0.478357	+	0.276180i	0.241375	+	0.970432i	$0.422402\pi$
$282$	0.550342	−	0.147464i	0.0327724	−	0.00878133i
$283$	0.649100	+	2.42247i	0.0385850	+	0.144001i	0.982531	−	0.186098i	$-0.0595843\pi$
$283$	0.649100	+	2.42247i	0.0385850	+	0.144001i	−0.943946	+	0.330100i	$0.892918\pi$
$284$	−10.3254			−0.612701
$285$	0.268367	+	4.00754i	0.0158967	+	0.237386i
$286$	−29.5853			−1.74941
$287$	3.11365	+	11.6203i	0.183793	+	0.685925i
$288$	22.0107	−	5.89774i	1.29699	−	0.347528i
$289$	3.45442	−	1.99441i	0.203201	−	0.117318i
$290$	0.198170	−	0.143954i	0.0116369	−	0.00845326i
$291$	−3.51906	−	6.09519i	−0.206291	−	0.357306i
$292$	−12.3605	−	12.3605i	−0.723342	−	0.723342i
$293$	1.18973	+	1.18973i	0.0695050	+	0.0695050i	0.741005	−	0.671500i	$-0.234350\pi$
$293$	1.18973	+	1.18973i	0.0695050	+	0.0695050i	−0.671500	+	0.741005i	$0.734350\pi$
$294$	−8.67552	+	5.00881i	−0.505967	+	0.292120i
$295$	−4.28339	+	5.28867i	−0.249389	+	0.307918i
$296$	0.915090			0.0531885
$297$	4.51499	−	4.51499i	0.261987	−	0.261987i
$298$	−8.53030	+	31.8355i	−0.494147	+	1.84418i
$299$	0.451483	−	0.781991i	0.0261099	−	0.0452237i
$300$	−3.77959	+	1.92502i	−0.218215	+	0.111141i
$301$	6.85245	−	11.8688i	0.394969	−	0.684106i
$302$	19.1310	−	5.12613i	1.10086	−	0.294976i
$303$	1.39581	+	1.39581i	0.0801871	+	0.0801871i
$304$	−14.3146	−	9.00190i	−0.820999	−	0.516294i
$305$	2.29717	+	5.98579i	0.131535	+	0.342746i
$306$	−22.6218	−	13.0607i	−1.29320	−	0.746631i
$307$	−2.87080	−	10.7140i	−0.163845	−	0.611478i	−0.998185	−	0.0602272i	$-0.980817\pi$
$307$	−2.87080	−	10.7140i	−0.163845	−	0.611478i	0.834340	−	0.551251i	$-0.185849\pi$
$308$	−23.0757	−	6.18312i	−1.31486	−	0.352316i
$309$	−0.911574	−	0.526298i	−0.0518576	−	0.0299400i
$310$	17.2962	−	1.81648i	0.982360	−	0.103169i
$311$	−2.83000			−0.160474			−0.0802372	−	0.996776i	$-0.525568\pi$
$311$	−2.83000			−0.160474			−0.0802372	+	0.996776i	$0.525568\pi$
$312$	−0.190062	+	0.190062i	−0.0107601	+	0.0107601i
$313$	2.46950	+	0.661700i	0.139584	+	0.0374015i	0.327935	−	0.944700i	$-0.393647\pi$
$313$	2.46950	+	0.661700i	0.139584	+	0.0374015i	−0.188350	+	0.982102i	$0.560314\pi$
$314$	−0.710821	−	1.23118i	−0.0401139	−	0.0694794i
$315$	25.2437	+	11.2417i	1.42232	+	0.633397i
$316$			9.75771i			0.548914i
$317$	−22.9386	−	6.14637i	−1.28836	−	0.345215i	−0.451322	−	0.892361i	$-0.649047\pi$
$317$	−22.9386	−	6.14637i	−1.28836	−	0.345215i	−0.837037	+	0.547147i	$0.815714\pi$
$318$	1.50041	−	0.402033i	0.0841387	−	0.0225449i
$319$	0.0722526	+	0.125145i	0.00404537	+	0.00700678i
$320$	2.96141	−	18.6877i	0.165548	−	1.04467i
$321$	2.69271	−	4.66391i	0.150292	−	0.260314i
$322$	1.01648	−	1.01648i	0.0566459	−	0.0566459i
$323$	4.43642	+	19.4706i	0.246849	+	1.08338i
$324$			15.4405i			0.857805i
$325$	15.0513	−	23.1686i	0.834895	−	1.28517i
$326$	26.6435	+	15.3826i	1.47565	+	0.851964i
$327$	0.974447	−	3.63669i	0.0538871	−	0.201109i
$328$	0.0841723	+	0.314135i	0.00464764	+	0.0173452i
$329$	−2.59527	+	1.49838i	−0.143082	+	0.0826083i
$330$	−1.76766	−	4.60604i	−0.0973066	−	0.253554i
$331$			16.8946i			0.928611i	0.885675	+	0.464305i	$0.153696\pi$
$331$			16.8946i			0.928611i	−0.885675	+	0.464305i	$0.846304\pi$
$332$	−3.49860	+	13.0569i	−0.192011	+	0.716593i
$333$	5.67855	−	21.1926i	0.311183	−	1.16135i
$334$			10.8270i			0.592427i
$335$	−11.2441	−	5.00729i	−0.614330	−	0.273578i
$336$	6.04531	−	3.49026i	0.329799	−	0.190409i
$337$	4.87161	+	18.1811i	0.265373	+	0.990387i	0.962021	+	0.272974i	$0.0880073\pi$
$337$	4.87161	+	18.1811i	0.265373	+	0.990387i	−0.696648	+	0.717413i	$0.745326\pi$
$338$	9.14203	−	34.1185i	0.497261	−	1.85580i
$339$	−2.01316	−	1.16230i	−0.109340	−	0.0631274i
$340$	−17.0621	+	12.3942i	−0.925324	+	0.672171i
$341$			10.2604i			0.555630i
$342$	18.2249	−	16.8976i	0.985487	−	0.913716i
$343$	15.6441	−	15.6441i	0.844703	−	0.844703i
$344$	0.185244	−	0.320853i	0.00998771	−	0.0172992i
$345$	0.148721	+	0.0235676i	0.00800687	+	0.00126884i
$346$	4.91739	+	8.51717i	0.264360	+	0.457886i
$347$	−0.861837	+	0.230929i	−0.0462658	+	0.0123969i	−0.281878	−	0.959450i	$-0.590957\pi$
$347$	−0.861837	+	0.230929i	−0.0462658	+	0.0123969i	0.235612	+	0.971847i	$0.424291\pi$
$348$	0.0445536	+	0.0119381i	0.00238832	+	0.000639949i
$349$			1.76463i			0.0944582i	0.998884	+	0.0472291i	$0.0150391\pi$
$349$			1.76463i			0.0944582i	−0.998884	+	0.0472291i	$0.984961\pi$
$350$	32.6914	−	29.4258i	1.74743	−	1.57287i
$351$	6.63782	+	11.4970i	0.354300	+	0.613666i
$352$	20.6691	+	5.53826i	1.10167	+	0.295190i
$353$	−17.6396	+	17.6396i	−0.938863	+	0.938863i	−0.998236	−	0.0593733i	$-0.981090\pi$
$353$	−17.6396	+	17.6396i	−0.938863	+	0.938863i	0.0593733	+	0.998236i	$0.481090\pi$
$354$	−2.52675			−0.134295
$355$	8.71557	+	7.05891i	0.462574	+	0.374648i
$356$	−12.3724	−	7.14319i	−0.655734	−	0.378588i
$357$	−7.96275	−	2.13361i	−0.421434	−	0.112923i
$358$	−0.0825271	−	0.307995i	−0.00436169	−	0.0162781i
$359$	5.58189	+	3.22271i	0.294601	+	0.170088i	0.640015	−	0.768362i	$-0.278928\pi$
$359$	5.58189	+	3.22271i	0.294601	+	0.170088i	−0.345414	+	0.938450i	$0.612261\pi$
$360$	0.682420	+	0.303900i	0.0359667	+	0.0160169i
$361$	−18.9458	−	1.43397i	−0.997148	−	0.0754722i
$362$	0.893785	+	0.893785i	0.0469763	+	0.0469763i
$363$	−1.56700	+	0.419876i	−0.0822461	+	0.0220378i
$364$	24.8350	−	43.0155i	1.30171	−	2.25462i
$365$	1.98317	+	18.8835i	0.103804	+	0.988408i
$366$	−1.19019	+	2.06147i	−0.0622123	+	0.107755i
$367$	8.48432	−	31.6639i	0.442878	−	1.65284i	−0.278602	−	0.960407i	$-0.589871\pi$
$367$	8.48432	−	31.6639i	0.442878	−	1.65284i	0.721480	−	0.692435i	$-0.243462\pi$
$368$	−0.448263	+	0.448263i	−0.0233673	+	0.0233673i
$369$	7.79741			0.405917
$370$	−27.1377	−	21.9793i	−1.41082	−	1.14265i
$371$	−7.07553	+	4.08506i	−0.367343	+	0.212086i
$372$	2.31581	+	2.31581i	0.120069	+	0.120069i
$373$	0.406611	+	0.406611i	0.0210535	+	0.0210535i	0.717555	−	0.696502i	$-0.245261\pi$
$373$	0.406611	+	0.406611i	0.0210535	+	0.0210535i	−0.696502	+	0.717555i	$0.745261\pi$
$374$	−12.2646	−	21.2430i	−0.634189	−	1.09845i
$375$	4.50634	+	0.959010i	0.232706	+	0.0495230i
$376$	−0.0701587	+	0.0405061i	−0.00361816	+	0.00208894i
$377$	−0.290209	+	0.0777611i	−0.0149465	+	0.00400490i
$378$	5.47006	+	20.4145i	0.281349	+	1.05001i
$379$	−36.2240			−1.86070			−0.930351	−	0.366669i	$-0.880498\pi$
$379$	−36.2240			−1.86070			−0.930351	+	0.366669i	$0.880498\pi$
$380$	−6.47648	−	18.9907i	−0.332236	−	0.974203i
$381$	3.10065			0.158851
$382$	9.89891	+	36.9432i	0.506472	+	1.89018i
$383$	1.47655	−	0.395641i	0.0754482	−	0.0202163i	−0.220897	−	0.975297i	$-0.570899\pi$
$383$	1.47655	−	0.395641i	0.0754482	−	0.0202163i	0.296346	+	0.955081i	$0.404232\pi$
$384$	0.336867	−	0.194490i	0.0171907	−	0.00992505i
$385$	15.2509	+	20.9947i	0.777258	+	1.06999i
$386$	−21.9548	−	38.0268i	−1.11747	−	1.93551i
$387$	−6.28113	−	6.28113i	−0.319288	−	0.319288i
$388$	24.8613	+	24.8613i	1.26214	+	1.26214i
$389$	−10.5629	+	6.09850i	−0.535561	+	0.309206i	−0.743278	−	0.668983i	$-0.766730\pi$
$389$	−10.5629	+	6.09850i	−0.535561	+	0.309206i	0.207717	+	0.978189i	$0.433397\pi$
$390$	10.2015	−	1.07138i	0.516573	−	0.0542512i
$391$	0.748652			0.0378609
$392$	1.00719	−	1.00719i	0.0508709	−	0.0508709i
$393$	−0.0166087	+	0.0619845i	−0.000837798	+	0.00312671i
$394$	12.7171	−	22.0267i	0.640678	−	1.10969i
$395$	6.67080	−	8.23637i	0.335644	−	0.414417i
$396$	−7.74209	+	13.4097i	−0.389054	+	0.673862i
$397$	−13.8162	+	3.70204i	−0.693415	+	0.185800i	−0.588279	−	0.808658i	$-0.700194\pi$
$397$	−13.8162	+	3.70204i	−0.693415	+	0.185800i	−0.105136	+	0.994458i	$0.533528\pi$
$398$	−26.7619	−	26.7619i	−1.34145	−	1.34145i
$399$	4.17539	−	6.63961i	0.209031	−	0.332396i
$400$	−14.4168	+	12.9767i	−0.720842	+	0.648835i
$401$	−26.1983	−	15.1256i	−1.30828	−	0.755336i	−0.326471	−	0.945207i	$-0.605860\pi$
$401$	−26.1983	−	15.1256i	−1.30828	−	0.755336i	−0.981809	+	0.189871i	$0.939193\pi$
$402$	−1.18276	−	4.41412i	−0.0589906	−	0.220156i
$403$	−20.6058	−	5.52131i	−1.02645	−	0.275036i
$404$	−8.53994	−	4.93054i	−0.424878	−	0.245303i
$405$	10.5558	−	13.0331i	0.524522	−	0.647622i
$406$	−0.478307			−0.0237380
$407$	14.5685	−	14.5685i	0.722132	−	0.722132i
$408$	−0.215260	−	0.0576786i	−0.0106569	−	0.00285552i
$409$	−4.51840	−	7.82611i	−0.223421	−	0.386976i	0.732424	−	0.680849i	$-0.238389\pi$
$409$	−4.51840	−	7.82611i	−0.223421	−	0.386976i	−0.955844	+	0.293873i	$0.905056\pi$
$410$	5.04895	−	11.3376i	0.249350	−	0.559926i
$411$			4.65695i			0.229710i
$412$	5.07912	+	1.36095i	0.250230	+	0.0670490i
$413$	12.8372	−	3.43971i	0.631676	−	0.169257i
$414$	−0.465863	−	0.806899i	−0.0228959	−	0.0396569i
$415$	11.8794	−	8.62943i	0.583139	−	0.423602i
$416$	−22.2449	+	38.5293i	−1.09065	+	1.88905i
$417$	−5.41472	+	5.41472i	−0.265160	+	0.265160i
$418$	22.7550	−	5.18477i	1.11298	−	0.253595i
$419$			33.2576i			1.62474i	0.583142	+	0.812370i	$0.301823\pi$
$419$			33.2576i			1.62474i	−0.583142	+	0.812370i	$0.698177\pi$
$420$	8.18079	+	1.29640i	0.399182	+	0.0632577i
$421$	27.5301	+	15.8945i	1.34174	+	0.774652i	0.987062	−	0.160338i	$-0.0512583\pi$
$421$	27.5301	+	15.8945i	1.34174	+	0.774652i	0.354675	+	0.934990i	$0.384592\pi$
$422$	−7.22406	+	26.9606i	−0.351662	+	1.31242i
$423$	0.502718	+	1.87617i	0.0244430	+	0.0912225i
$424$	−0.191275	+	0.110433i	−0.00928914	+	0.00536309i
$425$	22.8752	+	1.20260i	1.10961	+	0.0583344i
$426$			4.16401i			0.201747i
$427$	3.24045	−	12.0935i	0.156816	−	0.585247i
$428$	−6.96305	+	25.9864i	−0.336572	+	1.25610i
$429$			6.05167i			0.292177i
$430$	−13.2001	+	5.06579i	−0.636564	+	0.244294i
$431$	−18.0367	+	10.4135i	−0.868795	+	0.501599i	−0.866948	−	0.498399i	$-0.833921\pi$
$431$	−18.0367	+	10.4135i	−0.868795	+	0.501599i	−0.00184753	+	0.999998i	$0.500588\pi$
$432$	−2.41228	−	9.00276i	−0.116061	−	0.433146i
$433$	0.645189	−	2.40788i	0.0310058	−	0.115715i	−0.948689	−	0.316212i	$-0.897589\pi$
$433$	0.645189	−	2.40788i	0.0310058	−	0.115715i	0.979694	+	0.200497i	$0.0642556\pi$
$434$	−29.4115	−	16.9807i	−1.41180	−	0.815102i
$435$	−0.0294458	−	0.0405356i	−0.00141182	−	0.00194353i
$436$			18.8081i			0.900746i
$437$	−0.210207	+	0.680576i	−0.0100556	+	0.0325564i
$438$	−4.98471	+	4.98471i	−0.238179	+	0.238179i
$439$	9.67657	−	16.7603i	0.461838	−	0.799926i	−0.537215	−	0.843445i	$-0.680524\pi$
$439$	9.67657	−	16.7603i	0.461838	−	0.799926i	0.999053	+	0.0435193i	$0.0138570\pi$
$440$	0.412282	+	0.567556i	0.0196548	+	0.0270571i
$441$	−17.0755	−	29.5757i	−0.813121	−	1.40837i
$442$	49.2619	−	13.1997i	2.34315	−	0.627845i
$443$	−20.7699	−	5.56529i	−0.986809	−	0.264415i	−0.270899	−	0.962608i	$-0.587321\pi$
$443$	−20.7699	−	5.56529i	−0.986809	−	0.264415i	−0.715910	+	0.698193i	$0.753988\pi$
$444$		−	6.57634i		−	0.312099i
$445$	5.55998	+	14.4878i	0.263568	+	0.686787i
$446$	−21.7971	−	37.7537i	−1.03212	−	1.78769i
$447$	6.51196	+	1.74487i	0.308005	+	0.0825297i
$448$	−26.1264	+	26.1264i	−1.23436	+	1.23436i
$449$	−19.7125			−0.930289			−0.465144	−	0.885235i	$-0.653998\pi$
$449$	−19.7125			−0.930289			−0.465144	+	0.885235i	$0.653998\pi$
$450$	−12.9384	−	25.4033i	−0.609921	−	1.19752i
$451$	6.34116	+	3.66107i	0.298593	+	0.172393i
$452$	11.2170	+	3.00557i	0.527601	+	0.141370i
$453$	−1.04855	−	3.91324i	−0.0492652	−	0.183860i
$454$	45.0731	+	26.0230i	2.11539	+	1.22132i
$455$	−50.3702	+	19.3306i	−2.36139	+	0.906232i
$456$	0.112875	−	0.179491i	0.00528584	−	0.00840542i
$457$	−10.5895	−	10.5895i	−0.495358	−	0.495358i	0.414631	−	0.909990i	$-0.363911\pi$
$457$	−10.5895	−	10.5895i	−0.495358	−	0.495358i	−0.909990	+	0.414631i	$0.863911\pi$
$458$	24.4162	−	6.54229i	1.14089	−	0.305701i
$459$	−5.50343	+	9.53223i	−0.256878	+	0.444926i
$460$	−0.748100	+	0.0785665i	−0.0348803	+	0.00366318i
$461$	−17.6460	+	30.5639i	−0.821858	+	1.42350i	0.0824383	+	0.996596i	$0.473729\pi$
$461$	−17.6460	+	30.5639i	−0.821858	+	1.42350i	−0.904297	+	0.426904i	$0.859604\pi$
$462$	−2.49351	+	9.30592i	−0.116009	+	0.432951i
$463$	−25.7196	+	25.7196i	−1.19529	+	1.19529i	−0.219731	+	0.975561i	$0.570518\pi$
$463$	−25.7196	+	25.7196i	−1.19529	+	1.19529i	−0.975561	+	0.219731i	$0.929482\pi$
$464$	0.210932			0.00979229
$465$	−0.371560	−	3.53795i	−0.0172307	−	0.164068i
$466$	22.2465	−	12.8440i	1.03055	−	0.594988i
$467$	26.0086	+	26.0086i	1.20353	+	1.20353i	0.973085	+	0.230448i	$0.0740192\pi$
$467$	26.0086	+	26.0086i	1.20353	+	1.20353i	0.230448	+	0.973085i	$0.425981\pi$
$468$	−22.7644	−	22.7644i	−1.05228	−	1.05228i
$469$	12.0180	+	20.8158i	0.554941	+	0.961185i
$470$	3.05352	+	0.483886i	0.140848	+	0.0223200i
$471$	−0.251837	+	0.145398i	−0.0116041	+	0.00669961i
$472$	0.347031	−	0.0929867i	0.0159734	−	0.00428006i
$473$	−2.15892	−	8.05720i	−0.0992672	−	0.370470i
$474$	3.93507			0.180744
$475$	−7.51616	+	20.4575i	−0.344865	+	0.938652i
$476$	41.1816			1.88755
$477$	1.37057	+	5.11504i	0.0627541	+	0.234202i
$478$	26.3625	−	7.06381i	1.20579	−	0.323091i
$479$	11.4243	−	6.59583i	0.521990	−	0.301371i	−0.215759	−	0.976447i	$-0.569222\pi$
$479$	11.4243	−	6.59583i	0.521990	−	0.301371i	0.737748	+	0.675076i	$0.235889\pi$
$480$	−7.32760	−	1.16119i	−0.334457	−	0.0530009i
$481$	21.4181	+	37.0973i	0.976583	+	1.69149i
$482$	28.1091	+	28.1091i	1.28034	+	1.28034i
$483$	−0.207920	−	0.207920i	−0.00946069	−	0.00946069i
$484$	7.01841	−	4.05208i	0.319018	−	0.184185i
$485$	−3.98887	−	37.9815i	−0.181125	−	1.72465i
$486$	20.7472			0.941113
$487$	0.0662320	−	0.0662320i	0.00300126	−	0.00300126i	−0.705605	−	0.708606i	$-0.749324\pi$
$487$	0.0662320	−	0.0662320i	0.00300126	−	0.00300126i	0.708606	+	0.705605i	$0.249324\pi$
$488$	0.0876002	−	0.326928i	0.00396547	−	0.0147993i
$489$	3.14651	−	5.44992i	0.142290	−	0.246454i
$490$	−54.0606	+	5.67752i	−2.44221	+	0.256484i
$491$	16.6133	−	28.7751i	0.749748	−	1.29860i	−0.198195	−	0.980163i	$-0.563508\pi$
$491$	16.6133	−	28.7751i	0.749748	−	1.29860i	0.947943	−	0.318440i	$-0.103159\pi$
$492$	2.25755	−	0.604909i	0.101778	−	0.0272714i
$493$	−0.176141	−	0.176141i	−0.00793298	−	0.00793298i
$494$	−1.83239	+	48.4887i	−0.0824429	+	2.18161i
$495$	15.7025	−	6.02613i	0.705773	−	0.270855i
$496$	12.9704	+	7.48847i	0.582388	+	0.336242i
$497$	−5.66854	−	21.1553i	−0.254269	−	0.948944i
$498$	5.26558	+	1.41091i	0.235956	+	0.0632243i
$499$	12.8188	+	7.40092i	0.573847	+	0.331311i	0.758684	−	0.651458i	$-0.225842\pi$
$499$	12.8188	+	7.40092i	0.573847	+	0.331311i	−0.184837	+	0.982769i	$0.559176\pi$
$500$	−22.9845	+	1.19891i	−1.02790	+	0.0536167i
$501$	2.21466			0.0989439
$502$	−38.4019	+	38.4019i	−1.71396	+	1.71396i
$503$	32.5159	+	8.71260i	1.44981	+	0.388476i	0.895958	−	0.444139i	$-0.146490\pi$
$503$	32.5159	+	8.71260i	1.44981	+	0.388476i	0.553853	+	0.832614i	$0.313157\pi$
$504$	−0.729391	−	1.26334i	−0.0324897	−	0.0562737i
$505$	3.83774	+	10.0001i	0.170777	+	0.444998i
$506$		−	0.874935i		−	0.0388956i
$507$	−6.97895	−	1.87000i	−0.309946	−	0.0830498i
$508$	−14.9617	+	4.00896i	−0.663816	+	0.177869i
$509$	9.63691	+	16.6916i	0.427149	+	0.739843i	0.996618	−	0.0821691i	$-0.0261848\pi$
$509$	9.63691	+	16.6916i	0.427149	+	0.739843i	−0.569470	+	0.822012i	$0.692851\pi$
$510$	4.99832	+	6.88078i	0.221329	+	0.304686i
$511$	18.5391	−	32.1106i	0.820120	−	1.42049i
$512$	22.7339	−	22.7339i	1.00470	−	1.00470i
$513$	−7.12019	−	7.67947i	−0.314364	−	0.339057i
$514$		−	44.5272i		−	1.96401i
$515$	−3.35683	−	4.62107i	−0.147919	−	0.203629i
$516$	−2.30583	−	1.33127i	−0.101508	−	0.0586059i
$517$	−0.472076	+	1.76181i	−0.0207619	+	0.0774844i
$518$	17.6502	+	65.8713i	0.775503	+	2.89422i
$519$	1.74219	−	1.00585i	0.0764735	−	0.0441520i
$520$	−1.36167	+	0.522570i	−0.0597134	+	0.0229162i
$521$		−	40.7583i		−	1.78565i	−0.450401	−	0.892826i	$-0.648719\pi$
$521$		−	40.7583i		−	1.78565i	0.450401	−	0.892826i	$-0.351281\pi$
$522$	−0.0802379	+	0.299452i	−0.00351192	+	0.0131067i
$523$	−3.42228	+	12.7721i	−0.149646	+	0.558486i	0.849859	+	0.527011i	$0.176687\pi$
$523$	−3.42228	+	12.7721i	−0.149646	+	0.558486i	−0.999505	+	0.0314754i	$0.989979\pi$
$524$		−	0.320570i		−	0.0140042i
$525$	−6.01904	−	6.68703i	−0.262693	−	0.291846i
$526$	−20.0121	+	11.5540i	−0.872567	+	0.503777i
$527$	−4.57774	−	17.0844i	−0.199409	−	0.744206i
$528$	1.09963	−	4.10389i	0.0478554	−	0.178599i
$529$	−19.8955	−	11.4866i	−0.865020	−	0.499419i
$530$	8.32487	+	1.31923i	0.361609	+	0.0573036i
$531$		−	8.61395i		−	0.373813i
$532$	−11.5630	+	37.4369i	−0.501320	+	1.62309i
$533$	−10.7648	+	10.7648i	−0.466275	+	0.466275i
$534$	−2.88069	+	4.98950i	−0.124660	+	0.215917i
$535$	23.6429	−	17.1746i	1.02217	−	0.742524i
$536$	0.324887	+	0.562721i	0.0140330	+	0.0243058i
$537$	−0.0630004	+	0.0168809i	−0.00271867	+	0.000728465i
$538$	29.1221	+	7.80325i	1.25554	+	0.336422i
$539$		−	32.0695i		−	1.38133i
$540$	4.49903	−	10.1028i	0.193607	−	0.434753i
$541$	−0.481964	−	0.834787i	−0.0207213	−	0.0358903i	0.855479	−	0.517838i	$-0.173263\pi$
$541$	−0.481964	−	0.834787i	−0.0207213	−	0.0358903i	−0.876200	+	0.481948i	$0.839930\pi$
$542$	−32.2918	−	8.65257i	−1.38705	−	0.371660i
$543$	0.182824	−	0.182824i	0.00784572	−	0.00784572i
$544$	−36.8866			−1.58150
$545$	12.8581	−	15.8757i	0.550779	−	0.680041i
$546$	−17.3472	−	10.0154i	−0.742392	−	0.428620i
$547$	12.0600	+	3.23147i	0.515649	+	0.138168i	0.507253	−	0.861797i	$-0.330661\pi$
$547$	12.0600	+	3.23147i	0.515649	+	0.138168i	0.00839590	+	0.999965i	$0.497327\pi$
$548$	−6.02117	−	22.4713i	−0.257211	−	0.959926i
$549$	−7.02776	−	4.05748i	−0.299937	−	0.173169i
$550$	1.40545	−	26.7338i	0.0599286	−	1.13993i
$551$	0.209581	−	0.110667i	0.00892845	−	0.00471458i
$552$	−0.00562077	−	0.00562077i	−0.000239236	−	0.000239236i
$553$	−19.9921	+	5.35688i	−0.850152	+	0.227798i
$554$	−10.3922	+	17.9998i	−0.441521	+	0.764737i
$555$	−4.49588	+	5.55102i	−0.190839	+	0.235627i
$556$	19.1269	−	33.1288i	0.811161	−	1.40497i
$557$	5.45822	−	20.3704i	0.231272	−	0.863120i	−0.748522	−	0.663111i	$-0.769236\pi$
$557$	5.45822	−	20.3704i	0.231272	−	0.863120i	0.979794	−	0.200010i	$-0.0640974\pi$
$558$	−15.5650	+	15.5650i	−0.658918	+	0.658918i
$559$	17.3430			0.733529
$560$	37.6707	−	3.95623i	1.59188	−	0.167181i
$561$	−4.34525	+	2.50873i	−0.183456	+	0.105919i
$562$	−13.1901	−	13.1901i	−0.556390	−	0.556390i
$563$	14.5847	+	14.5847i	0.614673	+	0.614673i	0.944160	−	0.329487i	$-0.106876\pi$
$563$	14.5847	+	14.5847i	0.614673	+	0.614673i	−0.329487	+	0.944160i	$0.606876\pi$
$564$	0.291099	+	0.504199i	0.0122575	+	0.0212306i
$565$	−7.41336	−	10.2054i	−0.311883	−	0.429343i
$566$	−4.37556	+	2.52623i	−0.183919	+	0.106185i
$567$	−31.6353	+	8.47666i	−1.32856	+	0.355986i
$568$	−0.153239	−	0.571897i	−0.00642978	−	0.0239963i
$569$	45.5066			1.90773			0.953867	−	0.300228i	$-0.0970629\pi$
$569$	45.5066			1.90773			0.953867	+	0.300228i	$0.0970629\pi$
$570$	−7.65853	+	2.61182i	−0.320781	+	0.109397i
$571$	−26.0904			−1.09185			−0.545925	−	0.837834i	$-0.683822\pi$
$571$	−26.0904			−1.09185			−0.545925	+	0.837834i	$0.683822\pi$
$572$	−7.82447	−	29.2013i	−0.327157	−	1.22097i
$573$	7.55674	−	2.02482i	0.315687	−	0.0845881i
$574$	−20.9890	+	12.1180i	−0.876065	+	0.505796i
$575$	0.685174	+	0.445117i	0.0285737	+	0.0185627i
$576$	11.9741	+	20.7397i	0.498919	+	0.864154i
$577$	−4.98609	−	4.98609i	−0.207574	−	0.207574i	0.595662	−	0.803235i	$-0.296890\pi$
$577$	−4.98609	−	4.98609i	−0.207574	−	0.207574i	−0.803235	+	0.595662i	$0.796890\pi$
$578$	5.68221	+	5.68221i	0.236349	+	0.236349i
$579$	−7.77838	+	4.49085i	−0.323258	+	0.186633i
$580$	0.194496	+	0.157526i	0.00807600	+	0.00654091i
$581$	−28.6725			−1.18954
$582$	10.0260	−	10.0260i	0.415592	−	0.415592i
$583$	−1.28703	+	4.80326i	−0.0533034	+	0.198931i
$584$	0.501172	−	0.868056i	0.0207387	−	0.0359204i
$585$	3.65243	+	34.7779i	0.151009	+	1.43789i
$586$	−1.69482	+	2.93551i	−0.0700122	+	0.121265i
$587$	−26.6505	+	7.14099i	−1.09999	+	0.294740i	−0.762759	−	0.646683i	$-0.776155\pi$
$587$	−26.6505	+	7.14099i	−1.09999	+	0.294740i	−0.337227	+	0.941424i	$0.609489\pi$
$588$	−7.23823	−	7.23823i	−0.298500	−	0.298500i
$589$	16.8162	+	0.635483i	0.692899	+	0.0261846i
$590$	−12.5249	−	5.57768i	−0.515642	−	0.229629i
$591$	−4.50555	−	2.60128i	−0.185334	−	0.107002i
$592$	−7.78368	−	29.0491i	−0.319907	−	1.19391i
$593$	4.25820	+	1.14098i	0.174863	+	0.0468545i	0.345188	−	0.938533i	$-0.387815\pi$
$593$	4.25820	+	1.14098i	0.174863	+	0.0468545i	−0.170325	+	0.985388i	$0.554482\pi$
$594$	11.1401	+	6.43176i	0.457085	+	0.263898i
$595$	−34.7609	−	28.1535i	−1.42506	−	1.15418i
$596$	−33.6784			−1.37952
$597$	−5.47414	+	5.47414i	−0.224042	+	0.224042i
$598$	1.75713	+	0.470820i	0.0718542	+	0.0192533i
$599$	−3.21622	−	5.57065i	−0.131411	−	0.227611i	0.792810	−	0.609469i	$-0.208617\pi$
$599$	−3.21622	−	5.57065i	−0.131411	−	0.227611i	−0.924221	+	0.381859i	$0.875284\pi$
$600$	−0.162715	−	0.180772i	−0.00664280	−	0.00738001i
$601$			7.99550i			0.326143i	0.986614	+	0.163072i	$0.0521402\pi$
$601$			7.99550i			0.326143i	−0.986614	+	0.163072i	$0.947860\pi$
$602$	26.6690	+	7.14595i	1.08695	+	0.291247i
$603$	15.0482	−	4.03214i	0.612808	−	0.164202i
$604$	10.1192	+	17.5270i	0.411744	+	0.713162i
$605$	−8.69434	−	1.37778i	−0.353475	−	0.0560146i
$606$	−1.98838	+	3.44397i	−0.0807723	+	0.139902i
$607$	−6.21209	+	6.21209i	−0.252141	+	0.252141i	−0.821848	−	0.569707i	$-0.807057\pi$
$607$	−6.21209	+	6.21209i	−0.252141	+	0.252141i	0.569707	+	0.821848i	$0.307057\pi$
$608$	10.3571	−	33.5325i	0.420034	−	1.35992i
$609$			0.0978377i			0.00396458i
$610$	−10.4503	+	7.59126i	−0.423119	+	0.307361i
$611$	−3.28420	−	1.89613i	−0.132864	−	0.0767093i
$612$	6.90837	−	25.7824i	0.279254	−	1.04219i
$613$	−11.7925	−	44.0103i	−0.476295	−	1.77756i	−0.616412	−	0.787424i	$-0.711414\pi$
$613$	−11.7925	−	44.0103i	−0.476295	−	1.77756i	0.140117	−	0.990135i	$-0.455252\pi$
$614$	19.3519	−	11.1728i	0.780981	−	0.450899i
$615$	−2.31911	−	1.03276i	−0.0935157	−	0.0416451i
$616$		−	1.36987i		−	0.0551935i
$617$	−9.11410	+	34.0143i	−0.366920	+	1.36936i	0.497880	+	0.867246i	$0.334112\pi$
$617$	−9.11410	+	34.0143i	−0.366920	+	1.36936i	−0.864800	+	0.502117i	$0.832555\pi$
$618$	0.548840	−	2.04830i	0.0220776	−	0.0823946i
$619$		−	36.6468i		−	1.47296i	−0.676460	−	0.736479i	$-0.736487\pi$
$619$		−	36.6468i		−	1.47296i	0.676460	−	0.736479i	$-0.263513\pi$
$620$	6.36726	+	16.5913i	0.255715	+	0.666325i
$621$	−0.340006	+	0.196302i	−0.0136440	+	0.00787734i
$622$	−1.47560	−	5.50703i	−0.0591663	−	0.220812i
$623$	7.84307	−	29.2707i	0.314226	−	1.17271i
$624$	7.65008	+	4.41677i	0.306248	+	0.176812i
$625$	20.2206	+	14.7013i	0.808824	+	0.588050i
$626$			5.15054i			0.205857i
$627$	−1.06054	−	4.65453i	−0.0423541	−	0.185884i
$628$	1.02721	−	1.02721i	0.0409900	−	0.0409900i
$629$	−17.7578	+	30.7575i	−0.708052	+	1.22638i
$630$	−8.71330	+	54.9845i	−0.347146	+	2.19063i
$631$	−3.14922	−	5.45461i	−0.125368	−	0.217145i	0.796508	−	0.604627i	$-0.206678\pi$
$631$	−3.14922	−	5.45461i	−0.125368	−	0.217145i	−0.921877	+	0.387483i	$0.873345\pi$
$632$	−0.540454	+	0.144814i	−0.0214981	+	0.00576040i
$633$	5.51478	+	1.47768i	0.219193	+	0.0587326i
$634$		−	47.8421i		−	1.90005i
$635$	15.3697	+	6.84453i	0.609927	+	0.271617i
$636$	0.793630	+	1.37461i	0.0314695	+	0.0545068i
$637$	64.4049	+	17.2572i	2.55182	+	0.683757i
$638$	−0.205852	+	0.205852i	−0.00814978	+	0.00814978i
$639$	−14.1955			−0.561567
$640$	2.09915	−	0.220456i	0.0829763	−	0.00871429i
$641$	38.7188	+	22.3543i	1.52930	+	0.882941i	0.999391	+	0.0348856i	$0.0111067\pi$
$641$	38.7188	+	22.3543i	1.52930	+	0.882941i	0.529907	+	0.848055i	$0.322227\pi$
$642$	10.4798	+	2.80804i	0.413603	+	0.110825i
$643$	0.330622	+	1.23390i	0.0130385	+	0.0486602i	0.972139	−	0.234407i	$-0.0753148\pi$
$643$	0.330622	+	1.23390i	0.0130385	+	0.0486602i	−0.959100	+	0.283067i	$0.908648\pi$
$644$	1.27211	+	0.734454i	0.0501282	+	0.0289415i
$645$	1.03621	+	2.70007i	0.0408006	+	0.106315i
$646$	−35.5757	+	18.7854i	−1.39971	+	0.739100i
$647$	−0.125349	−	0.125349i	−0.00492797	−	0.00492797i	0.704639	−	0.709566i	$-0.251109\pi$
$647$	−0.125349	−	0.125349i	−0.00492797	−	0.00492797i	−0.709566	+	0.704639i	$0.751109\pi$
$648$	−0.855208	+	0.229152i	−0.0335957	+	0.00900195i
$649$	4.04445	−	7.00520i	0.158759	−	0.274978i
$650$	52.9330	+	17.2086i	2.07620	+	0.674975i
$651$	−3.47341	+	6.01612i	−0.136134	+	0.235790i
$652$	−8.13653	+	30.3659i	−0.318651	+	1.18922i
$653$	12.1197	−	12.1197i	0.474280	−	0.474280i	−0.429017	−	0.903297i	$-0.641140\pi$
$653$	12.1197	−	12.1197i	0.474280	−	0.474280i	0.903297	+	0.429017i	$0.141140\pi$
$654$	7.58490			0.296593
$655$	−0.219156	+	0.270589i	−0.00856312	+	0.0105728i
$656$	9.25611	−	5.34402i	0.361390	−	0.208649i
$657$	−16.9934	−	16.9934i	−0.662974	−	0.662974i
$658$	−4.26898	−	4.26898i	−0.166422	−	0.166422i
$659$	−12.8179	−	22.2013i	−0.499316	−	0.864841i	0.500684	−	0.865630i	$-0.333082\pi$
$659$	−12.8179	−	22.2013i	−0.499316	−	0.864841i	−1.00000		0.000789690i	$0.999749\pi$
$660$	4.07877	−	2.96289i	0.158766	−	0.115330i
$661$	34.5955	−	19.9737i	1.34561	−	0.776889i	0.357986	−	0.933727i	$-0.383463\pi$
$661$	34.5955	−	19.9737i	1.34561	−	0.776889i	0.987624	+	0.156838i	$0.0501301\pi$
$662$	−32.8760	+	8.80910i	−1.27776	+	0.342376i
$663$	−2.70000	−	10.0765i	−0.104859	−	0.391340i
$664$	−0.775112			−0.0300802
$665$	35.3537	−	23.6951i	1.37096	−	0.918855i
$666$	44.2007			1.71274
$667$	−0.00229966	−	0.00858243i	−8.90430e−5	−	0.000332313i
$668$	−10.6865	+	2.86343i	−0.413473	+	0.110790i
$669$	−7.72251	+	4.45860i	−0.298570	+	0.172379i
$670$	3.88110	−	24.4913i	0.149940	−	0.946181i
$671$	−3.81016	−	6.59940i	−0.147090	−	0.254767i
$672$	10.2444	+	10.2444i	0.395185	+	0.395185i
$673$	−7.40579	−	7.40579i	−0.285472	−	0.285472i	0.549814	−	0.835287i	$-0.314698\pi$
$673$	−7.40579	−	7.40579i	−0.285472	−	0.285472i	−0.835287	+	0.549814i	$0.814698\pi$
$674$	−32.8394	+	18.9598i	−1.26492	+	0.730305i
$675$	−10.7043	+	5.45189i	−0.412007	+	0.209843i
$676$	36.0935			1.38821
$677$	21.7948	−	21.7948i	0.837641	−	0.837641i	−0.150907	−	0.988548i	$-0.548220\pi$
$677$	21.7948	−	21.7948i	0.837641	−	0.837641i	0.988548	+	0.150907i	$0.0482195\pi$
$678$	1.21208	−	4.52355i	0.0465497	−	0.173726i
$679$	−37.2887	+	64.5859i	−1.43101	+	2.47858i
$680$	−0.939702	−	0.761083i	−0.0360359	−	0.0291862i
$681$	5.32300	−	9.21971i	0.203978	−	0.353300i
$682$	−19.9662	+	5.34992i	−0.764544	+	0.204859i
$683$	28.8085	+	28.8085i	1.10233	+	1.10233i	0.994130	+	0.108196i	$0.0345073\pi$
$683$	28.8085	+	28.8085i	1.10233	+	1.10233i	0.108196	+	0.994130i	$0.465493\pi$
$684$	21.4982	+	13.5194i	0.822005	+	0.516927i
$685$	−10.2800	+	23.0841i	−0.392778	+	0.881999i
$686$	38.5997	+	22.2856i	1.47375	+	0.850867i
$687$	−1.33823	−	4.99432i	−0.0510565	−	0.190545i
$688$	−11.7610	−	3.15135i	−0.448384	−	0.120144i
$689$	−8.95378	−	5.16947i	−0.341112	−	0.196941i
$690$	0.0316841	+	0.301692i	0.00120619	+	0.0114852i
$691$	21.7275			0.826552			0.413276	−	0.910606i	$-0.364385\pi$
$691$	21.7275			0.826552			0.413276	+	0.910606i	$0.364385\pi$
$692$	−7.10612	+	7.10612i	−0.270134	+	0.270134i
$693$	−31.7248	−	8.50064i	−1.20513	−	0.322913i
$694$	−0.898750	−	1.55668i	−0.0341161	−	0.0590908i
$695$	−38.7931	+	14.8876i	−1.47151	+	0.564720i
$696$			0.00264488i			0.000100254i
$697$	−12.1920	−	3.26682i	−0.461803	−	0.123740i
$698$	−3.43387	+	0.920103i	−0.129974	+	0.0348264i
$699$	−2.62725	−	4.55053i	−0.0993716	−	0.172117i
$700$	37.6898	+	24.4848i	1.42454	+	0.925439i
$701$	−20.8358	+	36.0886i	−0.786956	+	1.36305i	0.140868	+	0.990028i	$0.455011\pi$
$701$	−20.8358	+	36.0886i	−0.786956	+	1.36305i	−0.927824	+	0.373019i	$0.878323\pi$
$702$	−18.9116	+	18.9116i	−0.713772	+	0.713772i
$703$	−22.9746	−	24.7792i	−0.866504	−	0.934566i
$704$			22.4884i			0.847565i
$705$	0.0989789	−	0.624597i	0.00372776	−	0.0235237i
$706$	−43.5234	−	25.1282i	−1.63802	−	0.945714i
$707$	5.41362	−	20.2039i	0.203600	−	0.759847i
$708$	−0.668254	−	2.49396i	−0.0251145	−	0.0937287i
$709$	3.53623	−	2.04164i	0.132806	−	0.0766755i	−0.432125	−	0.901814i	$-0.642236\pi$
$709$	3.53623	−	2.04164i	0.132806	−	0.0766755i	0.564931	+	0.825138i	$0.308903\pi$
$710$	−9.19185	+	20.6407i	−0.344964	+	0.774631i
$711$			13.4150i			0.503103i
$712$	0.212024	−	0.791285i	0.00794594	−	0.0296547i
$713$	0.163284	−	0.609383i	0.00611502	−	0.0228216i
$714$		−	16.6076i		−	0.621524i
$715$	−13.3588	+	29.9977i	−0.499589	+	1.12185i
$716$	0.282172	−	0.162912i	0.0105453	−	0.00608831i
$717$	−1.44490	−	5.39245i	−0.0539609	−	0.201385i
$718$	−3.36074	+	12.5425i	−0.125422	+	0.468080i
$719$	31.0184	+	17.9085i	1.15679	+	0.667873i	0.950533	−	0.310625i	$-0.100538\pi$
$719$	31.0184	+	17.9085i	1.15679	+	0.667873i	0.206258	+	0.978498i	$0.433872\pi$
$720$	3.84255	−	24.2480i	0.143203	−	0.903671i
$721$			11.1535i			0.415379i
$722$	−7.08820	−	37.6153i	−0.263796	−	1.39990i
$723$	5.74972	−	5.74972i	0.213834	−	0.213834i
$724$	−0.645805	+	1.11857i	−0.0240011	+	0.0415712i
$725$	−0.0564800	−	0.265932i	−0.00209762	−	0.00987646i
$726$	−1.63411	−	2.83037i	−0.0606477	−	0.105045i
$727$	−38.0926	+	10.2069i	−1.41278	+	0.378552i	−0.882915	−	0.469533i	$-0.844422\pi$
$727$	−38.0926	+	10.2069i	−1.41278	+	0.378552i	−0.529860	+	0.848085i	$0.677756\pi$
$728$	2.75109	+	0.737152i	0.101962	+	0.0273207i
$729$			18.2577i			0.676210i
$730$	−35.7123	+	13.7053i	−1.32177	+	0.507256i
$731$	7.18955	+	12.4527i	0.265915	+	0.460579i
$732$	−2.34949	−	0.629543i	−0.0868395	−	0.0232686i
$733$	2.29726	−	2.29726i	0.0848513	−	0.0848513i	−0.663407	−	0.748259i	$-0.730890\pi$
$733$	2.29726	−	2.29726i	0.0848513	−	0.0848513i	0.748259	+	0.663407i	$0.230890\pi$
$734$	66.0402			2.43759
$735$	1.16134	+	11.0581i	0.0428365	+	0.407884i
$736$	−1.13944	−	0.657856i	−0.0420003	−	0.0242489i
$737$	14.1309	+	3.78637i	0.520520	+	0.139473i
$738$	4.06569	+	15.1734i	0.149660	+	0.558539i
$739$	7.28086	+	4.20361i	0.267831	+	0.154632i	0.627901	−	0.778293i	$-0.283914\pi$
$739$	7.28086	+	4.20361i	0.267831	+	0.154632i	−0.360071	+	0.932925i	$0.617247\pi$
$740$	14.5169	−	32.5984i	0.533653	−	1.19834i
$741$	9.91836	+	0.374815i	0.364360	+	0.0137692i
$742$	−11.6386	−	11.6386i	−0.427267	−	0.427267i
$743$	20.7766	−	5.56707i	0.762219	−	0.204236i	0.143287	−	0.989681i	$-0.454233\pi$
$743$	20.7766	−	5.56707i	0.762219	−	0.204236i	0.618931	+	0.785445i	$0.287566\pi$
$744$	−0.0938978	+	0.162636i	−0.00344246	+	0.00596252i
$745$	28.4275	+	23.0240i	1.04150	+	0.843535i
$746$	−0.579232	+	1.00326i	−0.0212072	+	0.0367319i
$747$	−4.80993	+	17.9509i	−0.175986	+	0.656789i
$748$	17.7236	−	17.7236i	0.648039	−	0.648039i
$749$	−57.0651			−2.08511
$750$	0.483492	+	9.26915i	0.0176546	+	0.338462i
$751$	−29.7173	+	17.1573i	−1.08440	+	0.626079i	−0.932080	−	0.362252i	$-0.882008\pi$
$751$	−29.7173	+	17.1573i	−1.08440	+	0.626079i	−0.152321	+	0.988331i	$0.548675\pi$
$752$	1.88261	+	1.88261i	0.0686518	+	0.0686518i
$753$	7.85511	+	7.85511i	0.286256	+	0.286256i
$754$	−0.302638	−	0.524185i	−0.0110214	−	0.0190897i
$755$	3.44070	−	21.7122i	0.125220	−	0.790189i
$756$	−18.7029	+	10.7981i	−0.680218	+	0.392724i
$757$	31.0845	−	8.32907i	1.12979	−	0.302725i	0.354948	−	0.934886i	$-0.384498\pi$
$757$	31.0845	−	8.32907i	1.12979	−	0.302725i	0.774837	+	0.632161i	$0.217832\pi$
$758$	−18.8878	−	70.4901i	−0.686035	−	2.56032i
$759$	−0.178968			−0.00649613
$760$	0.955727	−	0.640556i	0.0346679	−	0.0232354i
$761$	−29.3042			−1.06227			−0.531137	−	0.847286i	$-0.678235\pi$
$761$	−29.3042			−1.06227			−0.531137	+	0.847286i	$0.678235\pi$
$762$	1.61673	+	6.03371i	0.0585678	+	0.218578i
$763$	−38.5351	+	10.3255i	−1.39507	+	0.373807i
$764$	−33.8458	+	19.5409i	−1.22450	+	0.706964i
$765$	−23.4573	+	17.0398i	−0.848099	+	0.616074i
$766$	1.53979	+	2.66700i	0.0556350	+	0.0963627i
$767$	11.8921	+	11.8921i	0.429398	+	0.429398i
$768$	−4.37716	−	4.37716i	−0.157947	−	0.157947i
$769$	6.41378	−	3.70300i	0.231287	−	0.133534i	−0.379879	−	0.925036i	$-0.624034\pi$
$769$	6.41378	−	3.70300i	0.231287	−	0.133534i	0.611166	+	0.791503i	$0.290701\pi$
$770$	−32.9025	+	40.6244i	−1.18572	+	1.46400i
$771$	−9.10805			−0.328018
$772$	31.7268	−	31.7268i	1.14187	−	1.14187i
$773$	−0.504652	+	1.88339i	−0.0181511	+	0.0677408i	−0.974407	−	0.224789i	$-0.927831\pi$
$773$	−0.504652	+	1.88339i	−0.0181511	+	0.0677408i	0.956256	+	0.292530i	$0.0944972\pi$
$774$	8.94768	−	15.4978i	0.321618	−	0.557058i
$775$	5.96804	−	18.3575i	0.214378	−	0.659421i
$776$	−1.00804	+	1.74597i	−0.0361864	+	0.0626767i
$777$	13.4740	−	3.61034i	0.483376	−	0.129520i
$778$	−17.3750	−	17.3750i	−0.622925	−	0.622925i
$779$	6.39304	−	10.1661i	0.229054	−	0.364237i
$780$	3.75548	+	9.78574i	0.134468	+	0.350386i
$781$	−11.5444	−	6.66514i	−0.413090	−	0.238498i
$782$	0.390359	+	1.45684i	0.0139592	+	0.0520964i
$783$	0.126181	+	0.0338101i	0.00450935	+	0.00120828i
$784$	−40.5399	−	23.4057i	−1.44785	−	0.835918i
$785$	−1.56930	+	0.164810i	−0.0560106	+	0.00588232i
$786$	−0.129279			−0.00461122
$787$	2.86497	−	2.86497i	0.102125	−	0.102125i	−0.654198	−	0.756323i	$-0.726994\pi$
$787$	2.86497	−	2.86497i	0.102125	−	0.102125i	0.756323	+	0.654198i	$0.226994\pi$
$788$	25.1041	+	6.72662i	0.894296	+	0.239626i
$789$	2.36336	+	4.09347i	0.0841380	+	0.145731i
$790$	19.5058	+	8.68647i	0.693986	+	0.309051i
$791$			24.6319i			0.875811i
$792$	−0.857627	−	0.229801i	−0.0304745	−	0.00816561i
$793$	15.3038	−	4.10065i	0.543456	−	0.145618i
$794$	−14.4080	−	24.9553i	−0.511319	−	0.885631i
$795$	0.269848	−	1.70285i	0.00957053	−	0.0603939i
$796$	19.3368	−	33.4923i	0.685374	−	1.18710i
$797$	−27.0607	+	27.0607i	−0.958540	+	0.958540i	−0.999174	−	0.0406340i	$-0.987062\pi$
$797$	−27.0607	+	27.0607i	−0.958540	+	0.958540i	0.0406340	+	0.999174i	$0.487062\pi$
$798$	15.0975	+	4.66310i	0.534444	+	0.165072i
$799$		−	3.14418i		−	0.111233i
$800$	−33.7590	−	21.9312i	−1.19356	−	0.775386i
$801$	−17.0097	−	9.82057i	−0.601009	−	0.346993i
$802$	15.7734	−	58.8673i	0.556979	−	2.07868i
$803$	−5.84088	−	21.7985i	−0.206120	−	0.769251i
$804$	4.04402	−	2.33482i	0.142622	−	0.0823426i
$805$	−0.571670	−	1.48962i	−0.0201487	−	0.0525021i
$806$		−	42.9768i		−	1.51379i
$807$	1.59616	−	5.95693i	0.0561873	−	0.209694i
$808$	0.146348	−	0.546179i	0.00514851	−	0.0192145i
$809$		−	29.8714i		−	1.05022i	−0.851034	−	0.525111i	$-0.824024\pi$
$809$		−	29.8714i		−	1.05022i	0.851034	−	0.525111i	$-0.175976\pi$
$810$	30.8658	+	13.7454i	1.08451	+	0.482963i
$811$	40.9136	−	23.6215i	1.43667	−	0.829462i	0.439054	−	0.898461i	$-0.355314\pi$
$811$	40.9136	−	23.6215i	1.43667	−	0.829462i	0.997617	+	0.0689982i	$0.0219803\pi$
$812$	−0.126499	−	0.472099i	−0.00443923	−	0.0165674i
$813$	−1.76988	+	6.60530i	−0.0620726	+	0.231658i
$814$	35.9457	+	20.7533i	1.25990	+	0.727402i
$815$	27.6275	−	20.0691i	0.967747	−	0.702989i
$816$			7.32392i			0.256389i
$817$	−13.3390	+	3.03932i	−0.466673	+	0.106332i
$818$	12.8732	−	12.8732i	0.450102	−	0.450102i
$819$	34.1435	−	59.1383i	1.19307	−	2.06646i
$820$	12.5258	+	1.98494i	0.437420	+	0.0693172i
$821$	−15.6376	−	27.0852i	−0.545757	−	0.945278i	−0.998559	−	0.0536673i	$-0.982909\pi$
$821$	−15.6376	−	27.0852i	−0.545757	−	0.945278i	0.452802	−	0.891611i	$-0.350424\pi$
$822$	−9.06218	+	2.42820i	−0.316080	+	0.0846933i
$823$	7.40386	+	1.98386i	0.258082	+	0.0691530i	0.385540	−	0.922691i	$-0.374015\pi$
$823$	7.40386	+	1.98386i	0.258082	+	0.0691530i	−0.127458	+	0.991844i	$0.540682\pi$
$824$			0.301517i			0.0105038i
$825$	−5.46840	−	0.287485i	−0.190385	−	0.0100089i
$826$	13.3870	+	23.1870i	0.465793	+	0.806778i
$827$	−7.26481	−	1.94660i	−0.252622	−	0.0676899i	0.130286	−	0.991477i	$-0.458411\pi$
$827$	−7.26481	−	1.94660i	−0.252622	−	0.0676899i	−0.382908	+	0.923787i	$0.625077\pi$
$828$	0.673219	−	0.673219i	0.0233960	−	0.0233960i
$829$	48.3980			1.68093			0.840466	−	0.541865i	$-0.182282\pi$
$829$	48.3980			1.68093			0.840466	+	0.541865i	$0.182282\pi$
$830$	22.9866	+	18.6173i	0.797875	+	0.646215i
$831$	3.68185	+	2.12572i	0.127722	+	0.0737404i
$832$	−45.1633	−	12.1015i	−1.56576	−	0.419543i
$833$	14.3080	+	53.3983i	0.495744	+	1.85014i
$834$	−13.3601	−	7.71346i	−0.462622	−	0.267095i
$835$	10.9779	+	4.88876i	0.379906	+	0.169182i
$836$	11.1355	+	21.0884i	0.385130	+	0.729358i
$837$	6.55866	+	6.55866i	0.226701	+	0.226701i
$838$	−64.7176	+	17.3410i	−2.23563	+	0.599036i
$839$	−19.5689	+	33.8943i	−0.675593	+	1.17016i	0.300703	+	0.953718i	$0.402779\pi$
$839$	−19.5689	+	33.8943i	−0.675593	+	1.17016i	−0.976295	+	0.216443i	$0.930555\pi$
$840$	0.0496071	+	0.472352i	0.00171161	+	0.0162977i
$841$	14.4985	−	25.1122i	0.499949	−	0.865937i
$842$	−16.5753	+	61.8599i	−0.571223	+	2.13183i
$843$	−2.69803	+	2.69803i	−0.0929252	+	0.0929252i
$844$	−28.5212			−0.981741
$845$	−30.4662	−	24.6751i	−1.04807	−	0.848850i
$846$	−3.38881	+	1.95653i	−0.116510	+	0.0672668i
$847$	12.1552	+	12.1552i	0.417656	+	0.417656i
$848$	5.13260	+	5.13260i	0.176254	+	0.176254i
$849$	0.516741	+	0.895021i	0.0177345	+	0.0307171i
$850$	9.58729	+	45.1410i	0.328841	+	1.54832i
$851$	−1.09709	+	0.633406i	−0.0376078	+	0.0217129i
$852$	−4.10997	+	1.10126i	−0.140805	+	0.0377287i
$853$	3.77409	+	14.0851i	0.129222	+	0.482264i	0.999955	−	0.00949261i	$-0.00302164\pi$
$853$	3.77409	+	14.0851i	0.129222	+	0.482264i	−0.870733	+	0.491757i	$0.836355\pi$
$854$	25.2230			0.863114
$855$	−8.90396	−	26.1087i	−0.304509	−	0.892899i
$856$	−1.54266			−0.0527270
$857$	10.6853	+	39.8779i	0.365002	+	1.36220i	0.867419	+	0.497579i	$0.165778\pi$
$857$	10.6853	+	39.8779i	0.365002	+	1.36220i	−0.502417	+	0.864625i	$0.667556\pi$
$858$	−11.7762	+	3.15544i	−0.402034	+	0.107725i
$859$	−26.1141	+	15.0770i	−0.891001	+	0.514420i	−0.874270	−	0.485440i	$-0.838659\pi$
$859$	−26.1141	+	15.0770i	−0.891001	+	0.514420i	−0.0167315	+	0.999860i	$0.505326\pi$
$860$	−8.49108	−	11.6890i	−0.289544	−	0.398591i
$861$	2.47874	+	4.29330i	0.0844752	+	0.146315i
$862$	−29.6687	−	29.6687i	−1.01052	−	1.01052i
$863$	9.53529	+	9.53529i	0.324585	+	0.324585i	0.850523	−	0.525938i	$-0.176286\pi$
$863$	9.53529	+	9.53529i	0.324585	+	0.324585i	−0.525938	+	0.850523i	$0.676286\pi$
$864$	16.7523	−	9.67196i	0.569926	−	0.329047i
$865$	10.8562	−	1.14014i	0.369124	−	0.0387659i
$866$	5.02202			0.170655
$867$	1.16230	−	1.16230i	0.0394737	−	0.0394737i
$868$	8.98185	−	33.5207i	0.304864	−	1.13777i
$869$	−6.29868	+	10.9096i	−0.213668	+	0.370084i
$870$	0.0635268	−	0.0784359i	0.00215376	−	0.00265923i
$871$	−15.2083	+	26.3415i	−0.515313	+	0.892548i
$872$	−1.04173	+	0.279131i	−0.0352775	+	0.00945258i
$873$	34.1798	+	34.1798i	1.15681	+	1.15681i
$874$	−1.43397	−	0.0541898i	−0.0485048	−	0.00183300i
$875$	−15.0746	−	46.4338i	−0.509616	−	1.56975i
$876$	−6.23833	−	3.60170i	−0.210774	−	0.121690i
$877$	3.99881	+	14.9237i	0.135030	+	0.503939i	0.999998	+	0.00211152i	$0.000672117\pi$
$877$	3.99881	+	14.9237i	0.135030	+	0.503939i	−0.864968	+	0.501828i	$0.832661\pi$
$878$	37.6602	+	10.0910i	1.27097	+	0.340556i
$879$	0.600458	+	0.346675i	0.0202530	+	0.0116931i
$880$	14.5099	−	17.9153i	0.489130	−	0.603924i
$881$	54.2451			1.82756			0.913781	−	0.406206i	$-0.133148\pi$
$881$	54.2451			1.82756			0.913781	+	0.406206i	$0.133148\pi$
$882$	48.6494	−	48.6494i	1.63811	−	1.63811i
$883$	37.4088	+	10.0237i	1.25891	+	0.337323i	0.825771	−	0.564006i	$-0.190740\pi$
$883$	37.4088	+	10.0237i	1.25891	+	0.337323i	0.433136	+	0.901329i	$0.357407\pi$
$884$	26.0567	+	45.1316i	0.876383	+	1.51794i
$885$	−1.14091	+	2.56197i	−0.0383514	+	0.0861197i
$886$		−	43.3191i		−	1.45533i
$887$	−17.9661	−	4.81399i	−0.603241	−	0.161638i	−0.0557434	−	0.998445i	$-0.517753\pi$
$887$	−17.9661	−	4.81399i	−0.603241	−	0.161638i	−0.547498	+	0.836807i	$0.684420\pi$
$888$	0.364246	−	0.0975994i	0.0122233	−	0.00327522i
$889$	−16.4276	−	28.4534i	−0.550963	−	0.954296i
$890$	−25.2934	+	18.3736i	−0.847838	+	0.615884i
$891$	−9.96697	+	17.2633i	−0.333906	+	0.578342i
$892$	31.4990	−	31.4990i	1.05466	−	1.05466i
$893$	2.85828	+	0.882826i	0.0956485	+	0.0295426i
$894$			13.5817i			0.454241i
$895$	−0.349552	−	0.0553929i	−0.0116842	−	0.00185158i
$896$	−3.56952	−	2.06086i	−0.119249	−	0.0688486i
$897$	0.0963063	−	0.359420i	0.00321558	−	0.0120007i
$898$	−10.2784	−	38.3595i	−0.342994	−	1.28007i
$899$	−0.181791	+	0.104957i	−0.00606307	+	0.00350051i
$900$	21.6518	−	19.4889i	0.721725	−	0.649630i
$901$		−	8.57204i		−	0.285576i
$902$	−3.81788	+	14.2485i	−0.127121	+	0.474424i
$903$	1.46170	−	5.45516i	0.0486425	−	0.181536i
$904$			0.665883i			0.0221469i
$905$	1.30982	−	0.502669i	0.0435398	−	0.0167093i
$906$	7.06824	−	4.08085i	0.234826	−	0.135577i
$907$	3.09639	+	11.5559i	0.102814	+	0.383706i	0.998088	−	0.0618092i	$-0.0196870\pi$
$907$	3.09639	+	11.5559i	0.102814	+	0.383706i	−0.895274	+	0.445516i	$0.853020\pi$
$908$	−13.7647	+	51.3705i	−0.456797	+	1.70479i
$909$	−11.7408	−	6.77858i	−0.389419	−	0.224831i
$910$	−63.8802	−	87.9387i	−2.11761	−	2.91514i
$911$		−	48.0599i		−	1.59230i	−0.605102	−	0.796148i	$-0.706868\pi$
$911$		−	48.0599i		−	1.59230i	0.605102	−	0.796148i	$-0.293132\pi$
$912$	−6.65795	−	2.05642i	−0.220467	−	0.0680948i
$913$	−12.3400	+	12.3400i	−0.408394	+	0.408394i
$914$	15.0852	−	26.1283i	0.498973	−	0.864247i
$915$	1.55279	+	2.13760i	0.0513337	+	0.0706670i
$916$	12.9148	+	22.3690i	0.426716	+	0.739093i
$917$	0.656801	−	0.175989i	0.0216895	−	0.00581168i
$918$	−21.4188	−	5.73915i	−0.706926	−	0.189420i
$919$			16.5265i			0.545160i	0.962133	+	0.272580i	$0.0878769\pi$
$919$			16.5265i			0.545160i	−0.962133	+	0.272580i	$0.912123\pi$
$920$	−0.0154541	−	0.0402693i	−0.000509508	−	0.00132764i
$921$	−2.28541	−	3.95844i	−0.0753067	−	0.130435i
$922$	−68.6766	−	18.4019i	−2.26174	−	0.606033i
$923$	19.5978	−	19.5978i	0.645070	−	0.645070i
$924$	−9.84461			−0.323864
$925$	−34.5393	+	17.5915i	−1.13564	+	0.578406i
$926$	−63.4596	−	36.6384i	−2.08541	−	1.20401i
$927$	6.98285	+	1.87105i	0.229347	+	0.0614533i
$928$	0.113306	+	0.422863i	0.00371944	+	0.0138812i
$929$	11.0075	+	6.35518i	0.361144	+	0.208507i	0.669582	−	0.742738i	$-0.266473\pi$
$929$	11.0075	+	6.35518i	0.361144	+	0.208507i	−0.308438	+	0.951244i	$0.599806\pi$
$930$	6.69093	−	2.56778i	0.219404	−	0.0842007i
$931$	−52.5601	−	1.98625i	−1.72259	−	0.0650966i
$932$	18.5609	+	18.5609i	0.607983	+	0.607983i
$933$	−1.12646	+	0.301835i	−0.0368787	+	0.00988163i
$934$	−37.0501	+	64.1726i	−1.21232	+	2.09979i
$935$	−27.0769	+	2.84366i	−0.885511	+	0.0929976i
$936$	0.923013	−	1.59871i	0.0301696	−	0.0522553i
$937$	2.86288	−	10.6844i	0.0935262	−	0.349044i	−0.903266	−	0.429082i	$-0.858837\pi$
$937$	2.86288	−	10.6844i	0.0935262	−	0.349044i	0.996792	+	0.0800372i	$0.0255039\pi$
$938$	−34.2401	+	34.2401i	−1.11798	+	1.11798i
$939$	1.05354			0.0343811
$940$	0.329963	+	3.14186i	0.0107622	+	0.102476i
$941$	34.9649	−	20.1870i	1.13982	−	0.658077i	0.193436	−	0.981113i	$-0.438037\pi$
$941$	34.9649	−	20.1870i	1.13982	−	0.658077i	0.946387	+	0.323036i	$0.104703\pi$
$942$	−0.414250	−	0.414250i	−0.0134970	−	0.0134970i
$943$	−0.318351	−	0.318351i	−0.0103669	−	0.0103669i
$944$	−5.90364	−	10.2254i	−0.192147	−	0.332808i
$945$	23.1690	+	3.67155i	0.753687	+	0.119436i
$946$	14.5532	−	8.40230i	0.473166	−	0.273182i
$947$	47.9839	−	12.8572i	1.55927	−	0.417804i	0.626835	−	0.779152i	$-0.284350\pi$
$947$	47.9839	−	12.8572i	1.55927	−	0.417804i	0.932431	+	0.361348i	$0.117683\pi$
$948$	1.04071	+	3.88400i	0.0338008	+	0.126146i
$949$	46.9208			1.52311
$950$	−43.7282	−	3.95924i	−1.41873	−	0.128455i
$951$	−9.78611			−0.317336
$952$	0.611175	+	2.28094i	0.0198083	+	0.0739256i
$953$	−40.2720	+	10.7908i	−1.30454	+	0.349550i	−0.843164	−	0.537657i	$-0.819310\pi$
$953$	−40.2720	+	10.7908i	−1.30454	+	0.349550i	−0.461373	+	0.887206i	$0.652643\pi$
$954$	−9.23897	+	5.33412i	−0.299123	+	0.172699i
$955$	41.9278	+	6.64424i	1.35675	+	0.215002i
$956$	13.9443	+	24.1522i	0.450990	+	0.781137i
$957$	0.0421071	+	0.0421071i	0.00136113	+	0.00136113i
$958$	18.7920	+	18.7920i	0.607141	+	0.607141i
$959$	42.7349	−	24.6730i	1.37998	−	0.796733i
$960$	−0.814376	−	7.75438i	−0.0262839	−	0.250272i
$961$	16.0954			0.519205
$962$	−61.0217	+	61.0217i	−1.96742	+	1.96742i
$963$	−9.57290	+	35.7265i	−0.308482	+	1.15127i
$964$	−20.3102	+	35.1784i	−0.654149	+	1.13302i
$965$	−48.4701	+	5.09040i	−1.56031	+	0.163866i
$966$	0.296189	−	0.513015i	0.00952973	−	0.0165060i
$967$	−49.0491	+	13.1427i	−1.57731	+	0.422639i	−0.938092	−	0.346385i	$-0.887409\pi$
$967$	−49.0491	+	13.1427i	−1.57731	+	0.422639i	−0.639219	+	0.769025i	$0.720742\pi$
$968$	0.328594	+	0.328594i	0.0105614	+	0.0105614i
$969$	3.84254	+	7.27700i	0.123440	+	0.233771i
$970$	71.8302	−	27.5663i	2.30633	−	0.885100i
$971$	13.6177	+	7.86216i	0.437011	+	0.252309i	0.702329	−	0.711852i	$-0.252144\pi$
$971$	13.6177	+	7.86216i	0.437011	+	0.252309i	−0.265318	+	0.964161i	$0.585477\pi$
$972$	5.48705	+	20.4780i	0.175997	+	0.656831i
$973$	78.3765	+	21.0009i	2.51263	+	0.673258i
$974$	0.163418	+	0.0943497i	0.00523626	+	0.00302316i
$975$	3.52001	−	10.8274i	0.112731	−	0.346756i
$976$	−11.1233			−0.356048
$977$	16.4715	−	16.4715i	0.526971	−	0.526971i	−0.392697	−	0.919668i	$-0.628458\pi$
$977$	16.4715	−	16.4715i	0.526971	−	0.526971i	0.919668	+	0.392697i	$0.128458\pi$
$978$	12.2459	+	3.28128i	0.391581	+	0.104924i
$979$	−9.22198	−	15.9729i	−0.294736	−	0.510497i
$980$	−19.9013	−	51.8574i	−0.635724	−	1.65652i
$981$			25.8577i			0.825573i
$982$	64.6573	+	17.3249i	2.06330	+	0.552859i
$983$	−25.7864	+	6.90945i	−0.822460	+	0.220377i	−0.645421	−	0.763827i	$-0.723318\pi$
$983$	−25.7864	+	6.90945i	−0.822460	+	0.220377i	−0.177038	+	0.984204i	$0.556652\pi$
$984$	0.0670086	+	0.116062i	0.00213615	+	0.00369993i
$985$	−16.5915	−	22.8401i	−0.528648	−	0.727747i
$986$	0.250918	−	0.434604i	0.00799087	−	0.0138406i
$987$	−0.873220	+	0.873220i	−0.0277949	+	0.0277949i
$988$	−48.3440	+	11.0153i	−1.53803	+	0.350442i
$989$			0.512889i			0.0163089i
$990$	19.9141	+	27.4141i	0.632910	+	0.871277i
$991$	−12.2772	−	7.08824i	−0.389998	−	0.225165i	0.292161	−	0.956369i	$-0.405626\pi$
$991$	−12.2772	−	7.08824i	−0.389998	−	0.225165i	−0.682159	+	0.731204i	$0.738959\pi$
$992$	−8.04511	+	30.0247i	−0.255432	+	0.953287i
$993$	1.80190	+	6.72479i	0.0571817	+	0.213405i
$994$	38.2114	−	22.0614i	1.21199	−	0.699745i
$995$	−39.2188	+	15.0510i	−1.24332	+	0.477149i
$996$			5.57039i			0.176504i
$997$	2.11981	−	7.91123i	0.0671350	−	0.250551i	−0.924200	−	0.381909i	$-0.875267\pi$
$997$	2.11981	−	7.91123i	0.0671350	−	0.250551i	0.991335	+	0.131357i	$0.0419336\pi$
$998$	−7.71791	+	28.8036i	−0.244306	+	0.911763i
$999$		−	18.6250i		−	0.589269i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.2.l.c.27.6	yes	24
3.2	odd	2		855.2.cj.e.217.1		24
5.2	odd	4		475.2.p.h.293.1		24
5.3	odd	4	inner	95.2.l.c.8.6	✓	24
5.4	even	2		475.2.p.h.407.1		24
15.8	even	4		855.2.cj.e.388.1		24
19.12	odd	6	inner	95.2.l.c.12.6	yes	24
57.50	even	6		855.2.cj.e.487.1		24
95.12	even	12		475.2.p.h.468.1		24
95.69	odd	6		475.2.p.h.107.1		24
95.88	even	12	inner	95.2.l.c.88.6	yes	24
285.278	odd	12		855.2.cj.e.658.1		24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.l.c.8.6	✓	24	5.3	odd	4	inner
95.2.l.c.12.6	yes	24	19.12	odd	6	inner
95.2.l.c.27.6	yes	24	1.1	even	1	trivial
95.2.l.c.88.6	yes	24	95.88	even	12	inner
475.2.p.h.107.1		24	95.69	odd	6
475.2.p.h.293.1		24	5.2	odd	4
475.2.p.h.407.1		24	5.4	even	2
475.2.p.h.468.1		24	95.12	even	12
855.2.cj.e.217.1		24	3.2	odd	2
855.2.cj.e.388.1		24	15.8	even	4
855.2.cj.e.487.1		24	57.50	even	6
855.2.cj.e.658.1		24	285.278	odd	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:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	95.l (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.521416 + 1.94595i) q^{2} +(0.398044 - 0.106656i) q^{3} +(-1.78279 + 1.02930i) q^{4} +(2.20851 + 0.349979i) q^{5} +(0.415093 + 0.718962i) q^{6} +(-3.08761 - 3.08761i) q^{7} +(-0.0834685 - 0.0834685i) q^{8} +(-2.45101 + 1.41509i) q^{9} +O(q^{10})\)	\(q+(0.521416 + 1.94595i) q^{2} +(0.398044 - 0.106656i) q^{3} +(-1.78279 + 1.02930i) q^{4} +(2.20851 + 0.349979i) q^{5} +(0.415093 + 0.718962i) q^{6} +(-3.08761 - 3.08761i) q^{7} +(-0.0834685 - 0.0834685i) q^{8} +(-2.45101 + 1.41509i) q^{9} +(0.470510 + 4.48013i) q^{10} -2.65768 q^{11} +(-0.599850 + 0.599850i) q^{12} +(1.43015 - 5.33739i) q^{13} +(4.39841 - 7.61827i) q^{14} +(0.916411 - 0.0962428i) q^{15} +(-1.93969 + 3.35964i) q^{16} +(4.42525 - 1.18574i) q^{17} +(-4.03170 - 4.03170i) q^{18} +(-0.164605 + 4.35579i) q^{19} +(-4.29755 + 1.64927i) q^{20} +(-1.55832 - 0.899695i) q^{21} +(-1.38576 - 5.17171i) q^{22} +(0.157845 + 0.0422943i) q^{23} +(-0.0421265 - 0.0243217i) q^{24} +(4.75503 + 1.54586i) q^{25} +11.1320 q^{26} +(-1.69885 + 1.69885i) q^{27} +(8.68265 + 2.32651i) q^{28} +(-0.0271863 - 0.0470881i) q^{29} +(0.665115 + 1.73311i) q^{30} -3.86065i q^{31} +(-7.77712 - 2.08387i) q^{32} +(-1.05787 + 0.283456i) q^{33} +(4.61479 + 7.99305i) q^{34} +(-5.73843 - 7.89963i) q^{35} +(2.91310 - 5.04564i) q^{36} +(-5.48165 + 5.48165i) q^{37} +(-8.56197 + 1.95086i) q^{38} -2.27705i q^{39} +(-0.155129 - 0.213553i) q^{40} +(-2.38598 - 1.37754i) q^{41} +(0.938230 - 3.50152i) q^{42} +(0.812333 + 3.03167i) q^{43} +(4.73809 - 2.73554i) q^{44} +(-5.90834 + 2.26744i) q^{45} +0.329210i q^{46} +(0.177627 - 0.662914i) q^{47} +(-0.413758 + 1.54416i) q^{48} +12.0667i q^{49} +(-0.528827 + 10.0591i) q^{50} +(1.63498 - 0.943955i) q^{51} +(2.94410 + 10.9875i) q^{52} +(0.484269 - 1.80732i) q^{53} +(-4.19168 - 2.42007i) q^{54} +(-5.86951 - 0.930132i) q^{55} +0.515437i q^{56} +(0.399049 + 1.75135i) q^{57} +(0.0774557 - 0.0774557i) q^{58} +(-1.52180 + 2.63583i) q^{59} +(-1.53471 + 1.11484i) q^{60} +(1.43364 + 2.48314i) q^{61} +(7.51263 - 2.01300i) q^{62} +(11.9370 + 3.19852i) q^{63} -8.46168i q^{64} +(5.02648 - 11.2872i) q^{65} +(-1.10318 - 1.91077i) q^{66} +(-5.31702 - 1.42469i) q^{67} +(-6.66883 + 6.66883i) q^{68} +0.0673400 q^{69} +(12.3802 - 15.2857i) q^{70} +(4.34378 + 2.50788i) q^{71} +(0.322698 + 0.0864666i) q^{72} +(2.19774 + 8.20207i) q^{73} +(-13.5252 - 7.80880i) q^{74} +(2.05759 + 0.108171i) q^{75} +(-4.18994 - 7.93490i) q^{76} +(8.20589 + 8.20589i) q^{77} +(4.43103 - 1.18729i) q^{78} +(2.36999 - 4.10495i) q^{79} +(-5.45963 + 6.74095i) q^{80} +(3.75025 - 6.49563i) q^{81} +(1.43655 - 5.36126i) q^{82} +(4.64315 - 4.64315i) q^{83} +3.70421 q^{84} +(10.1882 - 1.06998i) q^{85} +(-5.47591 + 3.16152i) q^{86} +(-0.0158436 - 0.0158436i) q^{87} +(0.221832 + 0.221832i) q^{88} +(3.46994 + 6.01011i) q^{89} +(-7.49303 - 10.3150i) q^{90} +(-20.8956 + 12.0641i) q^{91} +(-0.324938 + 0.0870668i) q^{92} +(-0.411760 - 1.53671i) q^{93} +1.38261 q^{94} +(-1.88797 + 9.56220i) q^{95} -3.31789 q^{96} +(-4.42044 - 16.4973i) q^{97} +(-23.4813 + 6.29178i) q^{98} +(6.51400 - 3.76086i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + 6 q^{3} - 2 q^{5} - 20 q^{6} - 12 q^{7}+O(q^{10}) \) 24 * q + 6 * q^3 - 2 * q^5 - 20 * q^6 - 12 * q^7	\( 24 q + 6 q^{3} - 2 q^{5} - 20 q^{6} - 12 q^{7} - 24 q^{10} + 16 q^{11} - 12 q^{13} - 12 q^{15} - 4 q^{16} + 16 q^{17} + 16 q^{20} + 12 q^{21} - 24 q^{22} - 8 q^{25} + 32 q^{26} + 4 q^{28} + 76 q^{30} - 36 q^{32} - 36 q^{33} + 18 q^{35} - 52 q^{36} + 38 q^{38} - 60 q^{40} - 18 q^{42} + 2 q^{43} - 52 q^{45} + 2 q^{47} + 96 q^{48} - 6 q^{52} + 36 q^{53} - 22 q^{55} + 48 q^{57} - 56 q^{58} + 54 q^{60} + 12 q^{61} + 22 q^{62} + 30 q^{63} - 40 q^{66} + 48 q^{67} - 116 q^{68} + 42 q^{70} - 24 q^{71} + 96 q^{72} - 28 q^{73} + 8 q^{76} - 12 q^{77} + 84 q^{78} + 34 q^{80} + 24 q^{81} + 20 q^{82} - 24 q^{83} - 36 q^{85} - 12 q^{86} - 100 q^{87} + 54 q^{90} - 108 q^{91} - 4 q^{92} + 12 q^{93} - 18 q^{95} - 48 q^{96} - 6 q^{97} - 78 q^{98}+O(q^{100}) \) 24 * q + 6 * q^3 - 2 * q^5 - 20 * q^6 - 12 * q^7 - 24 * q^10 + 16 * q^11 - 12 * q^13 - 12 * q^15 - 4 * q^16 + 16 * q^17 + 16 * q^20 + 12 * q^21 - 24 * q^22 - 8 * q^25 + 32 * q^26 + 4 * q^28 + 76 * q^30 - 36 * q^32 - 36 * q^33 + 18 * q^35 - 52 * q^36 + 38 * q^38 - 60 * q^40 - 18 * q^42 + 2 * q^43 - 52 * q^45 + 2 * q^47 + 96 * q^48 - 6 * q^52 + 36 * q^53 - 22 * q^55 + 48 * q^57 - 56 * q^58 + 54 * q^60 + 12 * q^61 + 22 * q^62 + 30 * q^63 - 40 * q^66 + 48 * q^67 - 116 * q^68 + 42 * q^70 - 24 * q^71 + 96 * q^72 - 28 * q^73 + 8 * q^76 - 12 * q^77 + 84 * q^78 + 34 * q^80 + 24 * q^81 + 20 * q^82 - 24 * q^83 - 36 * q^85 - 12 * q^86 - 100 * q^87 + 54 * q^90 - 108 * q^91 - 4 * q^92 + 12 * q^93 - 18 * q^95 - 48 * q^96 - 6 * q^97 - 78 * q^98

Introduction

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