LMFDB - Embedded newform 252.2.bj.b.103.28

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(103,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 2, 5]))

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

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

chi := DirichletCharacter("252.103");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.bj (of order $6$, degree $2$, 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:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$42$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			103.28
Character	$\chi$	$=$	252.103
Dual form			252.2.bj.b.115.27

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.667137 + 1.24697i) q^{2} +(-1.72831 + 0.113815i) q^{3} +(-1.10986 + 1.66380i) q^{4} +(-0.627749 + 0.362431i) q^{5} +(-1.29494 - 2.07921i) q^{6} +(-2.64477 - 0.0721413i) q^{7} +(-2.81513 - 0.273973i) q^{8} +(2.97409 - 0.393415i) q^{9} +O(q^{10})$	\(q+(0.667137 + 1.24697i) q^{2} +(-1.72831 + 0.113815i) q^{3} +(-1.10986 + 1.66380i) q^{4} +(-0.627749 + 0.362431i) q^{5} +(-1.29494 - 2.07921i) q^{6} +(-2.64477 - 0.0721413i) q^{7} +(-2.81513 - 0.273973i) q^{8} +(2.97409 - 0.393415i) q^{9} +(-0.870735 - 0.540991i) q^{10} +(-0.501838 - 0.289736i) q^{11} +(1.72881 - 3.00187i) q^{12} +(-3.35535 - 1.93721i) q^{13} +(-1.67447 - 3.34607i) q^{14} +(1.04369 - 0.697840i) q^{15} +(-1.53644 - 3.69315i) q^{16} +(-3.20279 + 1.84913i) q^{17} +(2.47470 + 3.44613i) q^{18} +(-2.04363 + 3.53967i) q^{19} +(0.0936991 - 1.44669i) q^{20} +(4.57918 - 0.176332i) q^{21} +(0.0264969 - 0.819070i) q^{22} +(4.47089 - 2.58127i) q^{23} +(4.89659 + 0.153105i) q^{24} +(-2.23729 + 3.87510i) q^{25} +(0.177162 - 5.47641i) q^{26} +(-5.09537 + 1.01844i) q^{27} +(3.05534 - 4.32029i) q^{28} +(4.56967 + 7.91490i) q^{29} +(1.56647 + 0.835897i) q^{30} -0.848671 q^{31} +(3.58022 - 4.37973i) q^{32} +(0.900307 + 0.443637i) q^{33} +(-4.44251 - 2.76015i) q^{34} +(1.68640 - 0.913260i) q^{35} +(-2.64625 + 5.38492i) q^{36} +(-1.73892 + 3.01190i) q^{37} +(-5.77724 - 0.186894i) q^{38} +(6.01957 + 2.96621i) q^{39} +(1.86649 - 0.848304i) q^{40} +(-0.854749 - 0.493490i) q^{41} +(3.27482 + 5.59245i) q^{42} +(-10.9509 + 6.32252i) q^{43} +(1.03903 - 0.513391i) q^{44} +(-1.72440 + 1.32487i) q^{45} +(6.20145 + 3.85299i) q^{46} +11.5806 q^{47} +(3.07578 + 6.20803i) q^{48} +(6.98959 + 0.381594i) q^{49} +(-6.32470 - 0.204604i) q^{50} +(5.32495 - 3.56039i) q^{51} +(6.94709 - 3.43260i) q^{52} +(-2.70941 - 4.69284i) q^{53} +(-4.66927 - 5.67432i) q^{54} +0.420038 q^{55} +(7.42559 + 0.927681i) q^{56} +(3.12915 - 6.35024i) q^{57} +(-6.82102 + 10.9786i) q^{58} -0.387839 q^{59} +(0.00271478 + 2.51100i) q^{60} -0.891401i q^{61} +(-0.566180 - 1.05827i) q^{62} +(-7.89416 + 0.825936i) q^{63} +(7.84988 + 1.54254i) q^{64} +2.80843 q^{65} +(0.0474277 + 1.41862i) q^{66} -3.15867i q^{67} +(0.478055 - 7.38106i) q^{68} +(-7.43328 + 4.97008i) q^{69} +(2.26386 + 1.49361i) q^{70} +7.56506i q^{71} +(-8.48023 + 0.292693i) q^{72} +(-10.1955 + 5.88637i) q^{73} +(-4.91584 - 0.159027i) q^{74} +(3.42568 - 6.95199i) q^{75} +(-3.62116 - 7.32871i) q^{76} +(1.30634 + 0.802489i) q^{77} +(0.317108 + 9.48508i) q^{78} -3.39987i q^{79} +(2.30301 + 1.76152i) q^{80} +(8.69045 - 2.34010i) q^{81} +(0.0451305 - 1.39507i) q^{82} +(-3.46587 - 6.00306i) q^{83} +(-4.78885 + 7.81453i) q^{84} +(1.34037 - 2.32158i) q^{85} +(-15.1897 - 9.43746i) q^{86} +(-8.79863 - 13.1593i) q^{87} +(1.33336 + 0.953134i) q^{88} +(-2.37662 - 1.37214i) q^{89} +(-2.80248 - 1.26640i) q^{90} +(8.73438 + 5.36554i) q^{91} +(-0.667333 + 10.3035i) q^{92} +(1.46676 - 0.0965916i) q^{93} +(7.72586 + 14.4406i) q^{94} -2.96270i q^{95} +(-5.68924 + 7.97700i) q^{96} +(9.32750 - 5.38523i) q^{97} +(4.18718 + 8.97037i) q^{98} +(-1.60650 - 0.664272i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9}+O(q^{10}) $ 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9	$ 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9} - 18 q^{10} - 6 q^{12} + 18 q^{13} + 14 q^{14} + 14 q^{16} + 6 q^{17} - 10 q^{18} - 24 q^{20} + 4 q^{21} + 6 q^{22} - 6 q^{24} + 16 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 11 q^{30} - 18 q^{32} - 18 q^{33} - 24 q^{34} - 38 q^{36} + 2 q^{37} + 33 q^{38} + 6 q^{40} + 6 q^{41} - 38 q^{42} - 13 q^{44} - 54 q^{45} + 10 q^{46} + 9 q^{48} - 28 q^{49} - 17 q^{50} - 27 q^{52} - 2 q^{53} - 39 q^{54} + 58 q^{56} + 6 q^{57} - 13 q^{58} - 31 q^{60} - 8 q^{64} - 100 q^{65} + 30 q^{66} - 18 q^{68} - 18 q^{69} - 19 q^{70} + 26 q^{72} + 30 q^{73} - 23 q^{74} - 2 q^{77} + 15 q^{78} + 3 q^{80} - 32 q^{81} - 18 q^{82} + 23 q^{84} - 50 q^{85} - 9 q^{86} + q^{88} - 102 q^{89} - 39 q^{90} + 28 q^{92} - 36 q^{93} + 63 q^{96} + 6 q^{97} + 21 q^{98}+O(q^{100}) $ 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9 - 18 * q^10 - 6 * q^12 + 18 * q^13 + 14 * q^14 + 14 * q^16 + 6 * q^17 - 10 * q^18 - 24 * q^20 + 4 * q^21 + 6 * q^22 - 6 * q^24 + 16 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 11 * q^30 - 18 * q^32 - 18 * q^33 - 24 * q^34 - 38 * q^36 + 2 * q^37 + 33 * q^38 + 6 * q^40 + 6 * q^41 - 38 * q^42 - 13 * q^44 - 54 * q^45 + 10 * q^46 + 9 * q^48 - 28 * q^49 - 17 * q^50 - 27 * q^52 - 2 * q^53 - 39 * q^54 + 58 * q^56 + 6 * q^57 - 13 * q^58 - 31 * q^60 - 8 * q^64 - 100 * q^65 + 30 * q^66 - 18 * q^68 - 18 * q^69 - 19 * q^70 + 26 * q^72 + 30 * q^73 - 23 * q^74 - 2 * q^77 + 15 * q^78 + 3 * q^80 - 32 * q^81 - 18 * q^82 + 23 * q^84 - 50 * q^85 - 9 * q^86 + q^88 - 102 * q^89 - 39 * q^90 + 28 * q^92 - 36 * q^93 + 63 * q^96 + 6 * q^97 + 21 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{6}\right)$	$-1$

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 $

$2$	0.667137	+	1.24697i	0.471737	+	0.881739i
$2$	0.667137	+	1.24697i	0.471737	+	0.881739i
$3$	−1.72831	+	0.113815i	−0.997839	+	0.0657112i
$3$	−1.72831	+	0.113815i	−0.997839	+	0.0657112i
$4$	−1.10986	+	1.66380i	−0.554928	+	0.831899i
$5$	−0.627749	+	0.362431i	−0.280738	+	0.162084i	−0.633757	−	0.773532i	$-0.718488\pi$
$5$	−0.627749	+	0.362431i	−0.280738	+	0.162084i	0.353019	+	0.935616i	$0.385155\pi$
$6$	−1.29494	−	2.07921i	−0.528658	−	0.848835i
$7$	−2.64477	−	0.0721413i	−0.999628	−	0.0272668i
$7$	−2.64477	−	0.0721413i	−0.999628	−	0.0272668i
$8$	−2.81513	−	0.273973i	−0.995298	−	0.0968640i
$9$	2.97409	−	0.393415i	0.991364	−	0.131138i
$10$	−0.870735	−	0.540991i	−0.275351	−	0.171077i
$11$	−0.501838	−	0.289736i	−0.151310	−	0.0873588i	0.422434	−	0.906394i	$-0.361176\pi$
$11$	−0.501838	−	0.289736i	−0.151310	−	0.0873588i	−0.573743	+	0.819035i	$0.694509\pi$
$12$	1.72881	−	3.00187i	0.499063	−	0.866565i
$13$	−3.35535	−	1.93721i	−0.930608	−	0.537287i	−0.0436041	−	0.999049i	$-0.513884\pi$
$13$	−3.35535	−	1.93721i	−0.930608	−	0.537287i	−0.887004	+	0.461762i	$0.847217\pi$
$14$	−1.67447	−	3.34607i	−0.447520	−	0.894274i
$15$	1.04369	−	0.697840i	0.269480	−	0.180181i
$16$	−1.53644	−	3.69315i	−0.384110	−	0.923287i
$17$	−3.20279	+	1.84913i	−0.776791	+	0.448480i	−0.835292	−	0.549807i	$-0.814701\pi$
$17$	−3.20279	+	1.84913i	−0.776791	+	0.448480i	0.0585009	+	0.998287i	$0.481368\pi$
$18$	2.47470	+	3.44613i	0.583293	+	0.812262i
$19$	−2.04363	+	3.53967i	−0.468841	+	0.812057i	−0.999366	−	0.0356130i	$-0.988662\pi$
$19$	−2.04363	+	3.53967i	−0.468841	+	0.812057i	0.530525	+	0.847670i	$0.321995\pi$
$20$	0.0936991	−	1.44669i	0.0209517	−	0.323491i
$21$	4.57918	−	0.176332i	0.999259	−	0.0384788i
$22$	0.0264969	−	0.819070i	0.00564915	−	0.174626i
$23$	4.47089	−	2.58127i	0.932244	−	0.538231i	0.0447236	−	0.998999i	$-0.485759\pi$
$23$	4.47089	−	2.58127i	0.932244	−	0.538231i	0.887521	+	0.460768i	$0.152426\pi$
$24$	4.89659	+	0.153105i	0.999512	+	0.0312524i
$25$	−2.23729	+	3.87510i	−0.447457	+	0.775019i
$26$	0.177162	−	5.47641i	0.0347442	−	1.07401i
$27$	−5.09537	+	1.01844i	−0.980604	+	0.195999i
$28$	3.05534	−	4.32029i	0.577405	−	0.816458i
$29$	4.56967	+	7.91490i	0.848566	+	1.46976i	0.882488	+	0.470335i	$0.155867\pi$
$29$	4.56967	+	7.91490i	0.848566	+	1.46976i	−0.0339219	+	0.999424i	$0.510800\pi$
$30$	1.56647	+	0.835897i	0.285997	+	0.152613i
$31$	−0.848671			−0.152426			−0.0762129	−	0.997092i	$-0.524283\pi$
$31$	−0.848671			−0.152426			−0.0762129	+	0.997092i	$0.524283\pi$
$32$	3.58022	−	4.37973i	0.632899	−	0.774234i
$33$	0.900307	+	0.443637i	0.156723	+	0.0772272i
$34$	−4.44251	−	2.76015i	−0.761884	−	0.473362i
$35$	1.68640	−	0.913260i	0.285053	−	0.154369i
$36$	−2.64625	+	5.38492i	−0.441042	+	0.897487i
$37$	−1.73892	+	3.01190i	−0.285877	+	0.495153i	−0.972821	−	0.231557i	$-0.925618\pi$
$37$	−1.73892	+	3.01190i	−0.285877	+	0.495153i	0.686945	+	0.726710i	$0.258951\pi$
$38$	−5.77724	−	0.186894i	−0.937192	−	0.0303181i
$39$	6.01957	+	2.96621i	0.963902	+	0.474974i
$40$	1.86649	−	0.848304i	0.295118	−	0.134129i
$41$	−0.854749	−	0.493490i	−0.133489	−	0.0770701i	0.431768	−	0.901985i	$-0.357890\pi$
$41$	−0.854749	−	0.493490i	−0.133489	−	0.0770701i	−0.565258	+	0.824914i	$0.691223\pi$
$42$	3.27482	+	5.59245i	0.505316	+	0.862934i
$43$	−10.9509	+	6.32252i	−1.67000	+	0.964175i	−0.702367	+	0.711815i	$0.747874\pi$
$43$	−10.9509	+	6.32252i	−1.67000	+	0.964175i	−0.967633	+	0.252360i	$0.918793\pi$
$44$	1.03903	−	0.513391i	0.156640	−	0.0773966i
$45$	−1.72440	+	1.32487i	−0.257058	+	0.197500i
$46$	6.20145	+	3.85299i	0.914354	+	0.568092i
$47$	11.5806			1.68921			0.844603	−	0.535394i	$-0.179837\pi$
$47$	11.5806			1.68921			0.844603	+	0.535394i	$0.179837\pi$
$48$	3.07578	+	6.20803i	0.443950	+	0.896051i
$49$	6.98959	+	0.381594i	0.998513	+	0.0545134i
$50$	−6.32470	−	0.204604i	−0.894447	−	0.0289353i
$51$	5.32495	−	3.56039i	0.745642	−	0.498555i
$52$	6.94709	−	3.43260i	0.963388	−	0.476016i
$53$	−2.70941	−	4.69284i	−0.372166	−	0.644611i	0.617732	−	0.786388i	$-0.288052\pi$
$53$	−2.70941	−	4.69284i	−0.372166	−	0.644611i	−0.989899	+	0.141778i	$0.954718\pi$
$54$	−4.66927	−	5.67432i	−0.635407	−	0.772177i
$55$	0.420038			0.0566379
$56$	7.42559	+	0.927681i	0.992286	+	0.123967i
$57$	3.12915	−	6.35024i	0.414467	−	0.841110i
$58$	−6.82102	+	10.9786i	−0.895644	+	1.44155i
$59$	−0.387839			−0.0504924			−0.0252462	−	0.999681i	$-0.508037\pi$
$59$	−0.387839			−0.0504924			−0.0252462	+	0.999681i	$0.508037\pi$
$60$	0.00271478	+	2.51100i	0.000350476	+	0.324168i
$61$		−	0.891401i		−	0.114132i	−0.998370	−	0.0570661i	$-0.981825\pi$
$61$		−	0.891401i		−	0.114132i	0.998370	−	0.0570661i	$-0.0181746\pi$
$62$	−0.566180	−	1.05827i	−0.0719050	−	0.134400i
$63$	−7.89416	+	0.825936i	−0.994571	+	0.104058i
$64$	7.84988	+	1.54254i	0.981235	+	0.192817i
$65$	2.80843			0.348343
$66$	0.0474277	+	1.41862i	0.00583795	+	0.174620i
$67$		−	3.15867i		−	0.385893i	−0.981209	−	0.192947i	$-0.938196\pi$
$67$		−	3.15867i		−	0.385893i	0.981209	−	0.192947i	$-0.0618044\pi$
$68$	0.478055	−	7.38106i	0.0579726	−	0.895085i
$69$	−7.43328	+	4.97008i	−0.894862	+	0.598327i
$70$	2.26386	+	1.49361i	0.270583	+	0.178521i
$71$			7.56506i			0.897807i	0.893580	+	0.448904i	$0.148185\pi$
$71$			7.56506i			0.897807i	−0.893580	+	0.448904i	$0.851815\pi$
$72$	−8.48023	+	0.292693i	−0.999405	+	0.0344942i
$73$	−10.1955	+	5.88637i	−1.19329	+	0.688947i	−0.959051	−	0.283232i	$-0.908593\pi$
$73$	−10.1955	+	5.88637i	−1.19329	+	0.688947i	−0.234240	+	0.972179i	$0.575260\pi$
$74$	−4.91584	−	0.159027i	−0.571454	−	0.0184865i
$75$	3.42568	−	6.95199i	0.395563	−	0.802747i
$76$	−3.62116	−	7.32871i	−0.415376	−	0.840661i
$77$	1.30634	+	0.802489i	0.148872	+	0.0914521i
$78$	0.317108	+	9.48508i	0.0359054	+	1.07397i
$79$		−	3.39987i		−	0.382515i	−0.981540	−	0.191257i	$-0.938743\pi$
$79$		−	3.39987i		−	0.382515i	0.981540	−	0.191257i	$-0.0612565\pi$
$80$	2.30301	+	1.76152i	0.257485	+	0.196944i
$81$	8.69045	−	2.34010i	0.965606	−	0.260012i
$82$	0.0451305	−	1.39507i	0.00498383	−	0.154060i
$83$	−3.46587	−	6.00306i	−0.380428	−	0.658921i	0.610695	−	0.791866i	$-0.290890\pi$
$83$	−3.46587	−	6.00306i	−0.380428	−	0.658921i	−0.991123	+	0.132945i	$0.957557\pi$
$84$	−4.78885	+	7.81453i	−0.522506	+	0.852635i
$85$	1.34037	−	2.32158i	0.145383	−	0.251811i
$86$	−15.1897	−	9.43746i	−1.63795	−	1.01767i
$87$	−8.79863	−	13.1593i	−0.943312	−	1.41082i
$88$	1.33336	+	0.953134i	0.142136	+	0.101604i
$89$	−2.37662	−	1.37214i	−0.251921	−	0.145446i	0.368723	−	0.929539i	$-0.379795\pi$
$89$	−2.37662	−	1.37214i	−0.251921	−	0.145446i	−0.620643	+	0.784093i	$0.713129\pi$
$90$	−2.80248	−	1.26640i	−0.295407	−	0.133490i
$91$	8.73438	+	5.36554i	0.915612	+	0.562462i
$92$	−0.667333	+	10.3035i	−0.0695743	+	1.07421i
$93$	1.46676	−	0.0965916i	0.152096	−	0.0100161i
$94$	7.72586	+	14.4406i	0.796861	+	1.48944i
$95$		−	2.96270i		−	0.303967i
$96$	−5.68924	+	7.97700i	−0.580656	+	0.814149i
$97$	9.32750	−	5.38523i	0.947064	−	0.546788i	0.0548963	−	0.998492i	$-0.482517\pi$
$97$	9.32750	−	5.38523i	0.947064	−	0.546788i	0.892168	+	0.451704i	$0.149184\pi$
$98$	4.18718	+	8.97037i	0.422969	+	0.906144i
$99$	−1.60650	−	0.664272i	−0.161459	−	0.0667619i
$100$	−3.96431	−	8.02319i	−0.396431	−	0.802319i
$101$	−8.28966	−	4.78604i	−0.824852	−	0.476229i	0.0272346	−	0.999629i	$-0.491330\pi$
$101$	−8.28966	−	4.78604i	−0.824852	−	0.476229i	−0.852087	+	0.523400i	$0.824663\pi$
$102$	7.99217	+	4.26476i	0.791342	+	0.422275i
$103$	5.35055	+	9.26743i	0.527206	+	0.913147i	0.999497	+	0.0317044i	$0.0100935\pi$
$103$	5.35055	+	9.26743i	0.527206	+	0.913147i	−0.472292	+	0.881442i	$0.656573\pi$
$104$	8.91500	+	6.37278i	0.874188	+	0.624903i
$105$	−2.81067	+	1.77033i	−0.274293	+	0.172767i
$106$	4.04427	−	6.50932i	0.392814	−	0.632241i
$107$	−1.37590	−	0.794374i	−0.133013	−	0.0767950i	0.432017	−	0.901865i	$-0.357802\pi$
$107$	−1.37590	−	0.794374i	−0.133013	−	0.0767950i	−0.565030	+	0.825070i	$0.691135\pi$
$108$	3.96065	−	9.60798i	0.381114	−	0.924528i
$109$	−4.38392	−	7.59317i	−0.419903	−	0.727294i	0.576026	−	0.817431i	$-0.304603\pi$
$109$	−4.38392	−	7.59317i	−0.419903	−	0.727294i	−0.995929	+	0.0901375i	$0.971269\pi$
$110$	0.280223	+	0.523774i	0.0267182	+	0.0499399i
$111$	2.66259	−	5.40340i	0.252722	−	0.512868i
$112$	3.79710	+	9.87836i	0.358792	+	0.933417i
$113$	3.31031	−	5.73363i	0.311408	−	0.539375i	−0.667259	−	0.744825i	$-0.732533\pi$
$113$	3.31031	−	5.73363i	0.311408	−	0.539375i	0.978667	+	0.205451i	$0.0658660\pi$
$114$	10.0061	−	0.334527i	0.937159	−	0.0313314i
$115$	−1.87106	+	3.24078i	−0.174478	+	0.302204i
$116$	−18.2405	−	1.18139i	−1.69358	−	0.109690i
$117$	−10.7413	−	4.44141i	−0.993030	−	0.410608i
$118$	−0.258742	−	0.483623i	−0.0238191	−	0.0445211i
$119$	8.60404	−	4.65947i	0.788731	−	0.427133i
$120$	−3.12932	+	1.67856i	−0.285666	+	0.153231i
$121$	−5.33211	−	9.23548i	−0.484737	−	0.839589i
$122$	1.11155	−	0.594687i	0.100635	−	0.0538404i
$123$	1.53344	+	0.755618i	0.138265	+	0.0681318i
$124$	0.941902	−	1.41202i	0.0845853	−	0.126803i
$125$		−	6.86776i		−	0.614271i
$126$	−6.29641	−	9.29275i	−0.560929	−	0.827864i
$127$		−	9.20736i		−	0.817021i	−0.912754	−	0.408511i	$-0.866048\pi$
$127$		−	9.20736i		−	0.817021i	0.912754	−	0.408511i	$-0.133952\pi$
$128$	3.31345	+	10.8176i	0.292871	+	0.956152i
$129$	18.2070	−	12.1736i	1.60303	−	1.07183i
$130$	1.87361	+	3.50202i	0.164326	+	0.307147i
$131$	8.06936	+	13.9765i	0.705023	+	1.22114i	0.966683	+	0.255976i	$0.0823967\pi$
$131$	8.06936	+	13.9765i	0.705023	+	1.22114i	−0.261660	+	0.965160i	$0.584270\pi$
$132$	−1.73733	+	1.00555i	−0.151215	+	0.0875223i
$133$	5.66029	−	9.21418i	0.490809	−	0.798971i
$134$	3.93876	−	2.10727i	0.340257	−	0.182040i
$135$	2.82950	−	2.48604i	0.243525	−	0.213965i
$136$	9.52287	−	4.32806i	0.816580	−	0.371128i
$137$	1.14877	−	1.98972i	0.0981457	−	0.169993i	−0.812771	−	0.582583i	$-0.802042\pi$
$137$	1.14877	−	1.98972i	0.0981457	−	0.169993i	0.910917	+	0.412589i	$0.135376\pi$
$138$	−11.1565	−	5.95333i	−0.949708	−	0.506781i
$139$	−3.40486	+	5.89740i	−0.288797	+	0.500211i	−0.973523	−	0.228590i	$-0.926589\pi$
$139$	−3.40486	+	5.89740i	−0.288797	+	0.500211i	0.684726	+	0.728801i	$0.259922\pi$
$140$	−0.352179	+	3.81941i	−0.0297645	+	0.322799i
$141$	−20.0148	+	1.31805i	−1.68555	+	0.111000i
$142$	−9.43338	+	5.04693i	−0.791632	+	0.423529i
$143$	1.12256	+	1.94434i	0.0938734	+	0.162594i
$144$	−6.02246	−	10.3793i	−0.501871	−	0.864942i
$145$	−5.73721	−	3.31238i	−0.476449	−	0.275078i
$146$	−14.1419	−	8.78642i	−1.17039	−	0.727169i
$147$	−12.1236	+	0.136009i	−0.999937	+	0.0112179i
$148$	−3.08124	−	6.23598i	−0.253276	−	0.512594i
$149$	5.94517	+	10.2973i	0.487047	+	0.843590i	0.999889	−	0.0148927i	$-0.00474067\pi$
$149$	5.94517	+	10.2973i	0.487047	+	0.843590i	−0.512842	+	0.858483i	$0.671407\pi$
$150$	10.9543	−	0.366228i	0.894415	−	0.0299024i
$151$	11.9006	+	6.87083i	0.968459	+	0.559140i	0.898766	−	0.438428i	$-0.144465\pi$
$151$	11.9006	+	6.87083i	0.968459	+	0.559140i	0.0696928	+	0.997568i	$0.477798\pi$
$152$	6.72285	−	9.40473i	0.545295	−	0.762824i
$153$	−8.79792	+	6.75951i	−0.711270	+	0.546474i
$154$	−0.129167	+	2.16434i	−0.0104086	+	0.174407i
$155$	0.532753	−	0.307585i	0.0427917	−	0.0247058i
$156$	−11.6160	+	6.72327i	−0.930026	+	0.538292i
$157$		−	12.3209i		−	0.983317i	−0.870788	−	0.491659i	$-0.836391\pi$
$157$		−	12.3209i		−	0.983317i	0.870788	−	0.491659i	$-0.163609\pi$
$158$	4.23952	−	2.26818i	0.337278	−	0.180447i
$159$	5.21681	+	7.80229i	0.413720	+	0.618762i
$160$	−0.660129	+	4.04695i	−0.0521878	+	0.319940i
$161$	−12.0107	+	6.50432i	−0.946573	+	0.512612i
$162$	8.71576	+	9.27554i	0.684775	+	0.728755i
$163$	−4.96214	−	2.86489i	−0.388665	−	0.224396i	0.292917	−	0.956138i	$-0.405374\pi$
$163$	−4.96214	−	2.86489i	−0.388665	−	0.224396i	−0.681582	+	0.731742i	$0.738708\pi$
$164$	1.76971	−	0.874427i	0.138192	−	0.0682813i
$165$	−0.725955	+	0.0478066i	−0.0565155	+	0.00372174i
$166$	5.17341	−	8.32668i	0.401534	−	0.646276i
$167$	−4.19478	+	7.26556i	−0.324601	+	0.562226i	−0.981432	−	0.191812i	$-0.938564\pi$
$167$	−4.19478	+	7.26556i	−0.324601	+	0.562226i	0.656830	+	0.754039i	$0.271897\pi$
$168$	−12.9393	−	0.758174i	−0.998288	−	0.0584944i
$169$	1.00560	+	1.74175i	0.0773539	+	0.133981i
$170$	3.78915	+	0.122579i	0.290614	+	0.00940136i
$171$	−4.68539	+	11.3313i	−0.358300	+	0.866527i
$172$	1.63456	−	25.2372i	0.124634	−	1.92432i
$173$			17.8687i			1.35853i	0.733891	+	0.679267i	$0.237702\pi$
$173$			17.8687i			1.35853i	−0.733891	+	0.679267i	$0.762298\pi$
$174$	10.5393	−	19.7506i	0.798982	−	1.49729i
$175$	6.19666	−	10.0873i	0.468423	−	0.762530i
$176$	−0.298995	+	2.29853i	−0.0225376	+	0.173258i
$177$	0.670305	−	0.0441420i	0.0503832	−	0.00331791i
$178$	0.125484	−	3.87897i	0.00940546	−	0.290741i
$179$	−21.7765	+	12.5727i	−1.62765	+	0.939727i	−0.642864	+	0.765980i	$0.722254\pi$
$179$	−21.7765	+	12.5727i	−1.62765	+	0.939727i	−0.984790	+	0.173747i	$0.944413\pi$
$180$	−0.290481	−	4.33946i	−0.0216512	−	0.323444i
$181$			21.3865i			1.58965i	0.606841	+	0.794824i	$0.292437\pi$
$181$			21.3865i			1.58965i	−0.606841	+	0.794824i	$0.707563\pi$
$182$	−0.863626	+	14.4710i	−0.0640162	+	1.07266i
$183$	0.101455	+	1.54061i	0.00749976	+	0.113886i
$184$	−13.2933	+	6.04169i	−0.979996	+	0.445400i
$185$		−	2.52096i		−	0.185344i
$186$	1.09898	+	1.76457i	0.0805811	+	0.129384i
$187$	2.14304			0.156715
$188$	−12.8528	+	19.2678i	−0.937387	+	1.40525i
$189$	13.5495	−	2.32595i	0.985584	−	0.169188i
$190$	3.69439	−	1.97653i	0.268019	−	0.143393i
$191$			0.399022i			0.0288722i	0.999896	+	0.0144361i	$0.00459532\pi$
$191$			0.399022i			0.0288722i	−0.999896	+	0.0144361i	$0.995405\pi$
$192$	−13.7426	−	1.77254i	−0.991784	−	0.127922i
$193$	−16.1954			−1.16577			−0.582885	−	0.812554i	$-0.698076\pi$
$193$	−16.1954			−1.16577			−0.582885	+	0.812554i	$0.698076\pi$
$194$	12.9379	+	8.03840i	0.928890	+	0.577123i
$195$	−4.85383	+	0.319641i	−0.347590	+	0.0228900i
$196$	−8.39233	+	11.2057i	−0.599452	+	0.800411i
$197$	23.4117			1.66801			0.834006	−	0.551756i	$-0.186042\pi$
$197$	23.4117			1.66801			0.834006	+	0.551756i	$0.186042\pi$
$198$	−0.243430	−	2.44641i	−0.0172998	−	0.173859i
$199$	−6.11333	−	10.5886i	−0.433362	−	0.750606i	0.563798	−	0.825913i	$-0.309340\pi$
$199$	−6.11333	−	10.5886i	−0.433362	−	0.750606i	−0.997160	+	0.0753071i	$0.976006\pi$
$200$	7.35992	−	10.2959i	0.520425	−	0.728032i
$201$	0.359504	+	5.45916i	0.0253575	+	0.385059i
$202$	0.437691	−	13.5299i	0.0307959	−	0.951959i
$203$	−11.5147	−	21.2627i	−0.808175	−	1.49235i
$204$	0.0138509	+	12.8112i	0.000969754	+	0.896960i
$205$	0.715424			0.0499674
$206$	−7.98663	+	12.8546i	−0.556455	+	0.895623i
$207$	12.2813	−	9.43584i	0.853611	−	0.655836i
$208$	−1.99912	+	15.3682i	−0.138614	+	1.06560i
$209$	2.05114	−	1.18423i	0.141881	−	0.0819148i
$210$	−4.08265	−	2.32376i	−0.281729	−	0.160355i
$211$	−11.8107	−	6.81891i	−0.813082	−	0.469433i	0.0349433	−	0.999389i	$-0.488875\pi$
$211$	−11.8107	−	6.81891i	−0.813082	−	0.469433i	−0.848025	+	0.529956i	$0.822208\pi$
$212$	10.8150	+	0.700462i	0.742776	+	0.0481079i
$213$	−0.861018	−	13.0747i	−0.0589960	−	0.895867i
$214$	0.0726469	−	2.24565i	0.00496604	−	0.153510i
$215$	4.58296	−	7.93791i	0.312555	−	0.541361i
$216$	14.6231	−	1.47104i	0.994978	−	0.100092i
$217$	2.24454	+	0.0612242i	0.152369	+	0.00415617i
$218$	6.54376	−	10.5323i	0.443199	−	0.713337i
$219$	16.9510	−	11.3338i	1.14544	−	0.765870i
$220$	−0.466181	+	0.698858i	−0.0314299	+	0.0471170i
$221$	14.3287			0.963850
$222$	8.51418	−	0.284648i	0.571434	−	0.0191044i
$223$	8.37599	+	14.5076i	0.560898	+	0.971504i	0.997418	+	0.0718094i	$0.0228773\pi$
$223$	8.37599	+	14.5076i	0.560898	+	0.971504i	−0.436520	+	0.899694i	$0.643789\pi$
$224$	−9.78481	+	11.3251i	−0.653775	+	0.756689i
$225$	−5.12938	+	12.4051i	−0.341959	+	0.827005i
$226$	9.35809	+	0.302734i	0.622491	+	0.0201376i
$227$	−10.9841	+	19.0249i	−0.729037	+	1.26273i	0.228253	+	0.973602i	$0.426699\pi$
$227$	−10.9841	+	19.0249i	−0.729037	+	1.26273i	−0.957291	+	0.289128i	$0.906635\pi$
$228$	7.09260	+	12.2541i	0.469719	+	0.811549i
$229$	3.28647	−	1.89744i	0.217176	−	0.125386i	−0.387466	−	0.921884i	$-0.626650\pi$
$229$	3.28647	−	1.89744i	0.217176	−	0.125386i	0.604642	+	0.796497i	$0.293316\pi$
$230$	−5.28940	−	0.171112i	−0.348773	−	0.0112828i
$231$	−2.34910	−	1.23827i	−0.154559	−	0.0814719i
$232$	−10.6957	−	23.5334i	−0.702209	−	1.54504i
$233$	−10.3989	+	18.0115i	−0.681256	+	1.17997i	0.293341	+	0.956008i	$0.405233\pi$
$233$	−10.3989	+	18.0115i	−0.681256	+	1.17997i	−0.974598	+	0.223963i	$0.928101\pi$
$234$	−1.62760	−	16.3570i	−0.106400	−	1.06929i
$235$	−7.26972	+	4.19717i	−0.474224	+	0.273793i
$236$	0.430446	−	0.645286i	0.0280196	−	0.0420045i
$237$	0.386956	+	5.87601i	0.0251355	+	0.381688i
$238$	11.5503	+	7.62045i	0.748694	+	0.493960i
$239$	0.874254	+	0.504751i	0.0565508	+	0.0326496i	0.528009	−	0.849239i	$-0.322939\pi$
$239$	0.874254	+	0.504751i	0.0565508	+	0.0326496i	−0.471458	+	0.881888i	$0.656272\pi$
$240$	−4.18080	−	2.78233i	−0.269869	−	0.179598i
$241$	22.5421	+	13.0147i	1.45206	+	0.838349i	0.998598	−	0.0529249i	$-0.0168544\pi$
$241$	22.5421	+	13.0147i	1.45206	+	0.838349i	0.453465	+	0.891274i	$0.350188\pi$
$242$	7.95909	−	12.8103i	0.511630	−	0.823477i
$243$	−14.7534	+	5.03352i	−0.946433	+	0.322901i
$244$	1.48311	+	0.989326i	0.0949464	+	0.0633351i
$245$	−4.52601	+	2.29370i	−0.289156	+	0.146539i
$246$	0.0807806	+	2.41625i	0.00515039	+	0.154054i
$247$	13.7142	−	7.91790i	0.872614	−	0.503804i
$248$	2.38912	+	0.232513i	0.151709	+	0.0147646i
$249$	6.67332	+	9.98066i	0.422904	+	0.632498i
$250$	8.56388	−	4.58174i	0.541627	−	0.289775i
$251$	18.4201			1.16266			0.581332	−	0.813666i	$-0.302532\pi$
$251$	18.4201			1.16266			0.581332	+	0.813666i	$0.302532\pi$
$252$	7.38719	−	14.0510i	0.465349	−	0.885127i
$253$	−2.99155			−0.188077
$254$	11.4813	−	6.14258i	0.720400	−	0.385419i
$255$	−2.05233	+	4.16496i	−0.128522	+	0.260820i
$256$	−11.2787	+	11.3486i	−0.704919	+	0.709288i
$257$	10.8821	−	6.28280i	0.678809	−	0.391910i	−0.120597	−	0.992702i	$-0.538481\pi$
$257$	10.8821	−	6.28280i	0.678809	−	0.391910i	0.799406	+	0.600791i	$0.205148\pi$
$258$	27.3267	+	14.5820i	1.70128	+	0.907836i
$259$	4.81632	−	7.84032i	0.299272	−	0.487174i
$260$	−3.11695	+	4.67265i	−0.193305	+	0.289786i
$261$	16.7045	+	21.7419i	1.03398	+	1.34579i
$262$	−12.0449	+	19.3865i	−0.744137	+	1.19770i
$263$	−8.60780	−	4.96972i	−0.530780	−	0.306446i	0.210554	−	0.977582i	$-0.432473\pi$
$263$	−8.60780	−	4.96972i	−0.530780	−	0.306446i	−0.741334	+	0.671136i	$0.765806\pi$
$264$	−2.41293	−	1.49555i	−0.148506	−	0.0920449i
$265$	3.40166	+	1.96395i	0.208962	+	0.120645i
$266$	15.2660	+	0.911067i	0.936017	+	0.0558611i
$267$	4.26369	+	2.10098i	0.260934	+	0.128578i
$268$	5.25539	+	3.50567i	0.321024	+	0.214143i
$269$	6.20144	−	3.58040i	0.378108	−	0.218301i	−0.298887	−	0.954289i	$-0.596615\pi$
$269$	6.20144	−	3.58040i	0.378108	−	0.218301i	0.676995	+	0.735988i	$0.263282\pi$
$270$	4.98768	+	1.86976i	0.303541	+	0.113790i
$271$	3.11123	−	5.38881i	0.188994	−	0.327347i	−0.755921	−	0.654663i	$-0.772811\pi$
$271$	3.11123	−	5.38881i	0.188994	−	0.327347i	0.944915	+	0.327316i	$0.106144\pi$
$272$	11.7500	+	8.98730i	0.712450	+	0.544935i
$273$	−15.7064	−	8.27920i	−0.950593	−	0.501080i
$274$	3.24750	+	0.105057i	0.196189	+	0.00634670i
$275$	2.24551	−	1.29645i	0.135409	−	0.0781787i
$276$	−0.0193349	−	17.8835i	−0.00116382	−	1.07646i
$277$	−13.1171	+	22.7195i	−0.788130	+	1.36508i	0.138982	+	0.990295i	$0.455617\pi$
$277$	−13.1171	+	22.7195i	−0.788130	+	1.36508i	−0.927111	+	0.374786i	$0.877716\pi$
$278$	−9.62537	−	0.311381i	−0.577291	−	0.0186754i
$279$	−2.52403	+	0.333880i	−0.151109	+	0.0199889i
$280$	−4.99763	+	2.10891i	−0.298666	+	0.126032i
$281$	−4.29087	−	7.43201i	−0.255972	−	0.443357i	0.709187	−	0.705020i	$-0.249062\pi$
$281$	−4.29087	−	7.43201i	−0.255972	−	0.443357i	−0.965159	+	0.261664i	$0.915729\pi$
$282$	−14.9962	−	24.0785i	−0.893012	−	1.43386i
$283$	28.7140			1.70687			0.853435	−	0.521200i	$-0.174515\pi$
$283$	28.7140			1.70687			0.853435	+	0.521200i	$0.174515\pi$
$284$	−12.5867	−	8.39612i	−0.746885	−	0.498218i
$285$	0.337200	+	5.12046i	0.0199740	+	0.303310i
$286$	−1.67562	+	2.69694i	−0.0990815	+	0.159473i
$287$	2.22501	+	1.36683i	0.131338	+	0.0806813i
$288$	8.92485	−	14.4342i	0.525902	−	0.850545i
$289$	−1.66142	+	2.87767i	−0.0977307	+	0.169275i
$290$	0.302923	−	9.36393i	0.0177882	−	0.549869i
$291$	−15.5079	+	10.3689i	−0.909087	+	0.607839i
$292$	1.52180	−	23.4962i	0.0890565	−	1.37501i
$293$	−20.5937	−	11.8898i	−1.20310	−	0.694609i	−0.241855	−	0.970312i	$-0.577756\pi$
$293$	−20.5937	−	11.8898i	−1.20310	−	0.694609i	−0.961243	+	0.275704i	$0.911089\pi$
$294$	−8.25770	−	15.0270i	−0.481599	−	0.876392i
$295$	0.243466	−	0.140565i	0.0141751	−	0.00818401i
$296$	5.72046	−	8.00246i	0.332495	−	0.465133i
$297$	2.85213	+	0.965222i	0.165497	+	0.0560079i
$298$	−8.87419	+	14.2832i	−0.514068	+	0.827402i
$299$	−20.0019			−1.15674
$300$	7.76470	+	13.4153i	0.448295	+	0.774535i
$301$	29.4188	−	15.9316i	1.69567	−	0.918281i
$302$	−0.628349	+	19.4235i	−0.0361574	+	1.11770i
$303$	14.8718	+	7.32826i	0.854363	+	0.420997i
$304$	16.2125	+	2.10893i	0.929848	+	0.120956i
$305$	0.323072	+	0.559576i	0.0184990	+	0.0320412i
$306$	−14.2983	−	6.46119i	−0.817380	−	0.369362i
$307$	−12.4459			−0.710323			−0.355161	−	0.934805i	$-0.615574\pi$
$307$	−12.4459			−0.710323			−0.355161	+	0.934805i	$0.615574\pi$
$308$	−2.78503	+	1.28284i	−0.158692	+	0.0730968i
$309$	−10.3022	−	15.4080i	−0.586070	−	0.876530i
$310$	0.738967	+	0.459124i	0.0419705	+	0.0260765i
$311$	−27.7490			−1.57350			−0.786752	−	0.617269i	$-0.788239\pi$
$311$	−27.7490			−1.57350			−0.786752	+	0.617269i	$0.788239\pi$
$312$	−16.1332	−	9.99946i	−0.913362	−	0.566108i
$313$			25.0450i			1.41563i	0.706400	+	0.707813i	$0.250318\pi$
$313$			25.0450i			1.41563i	−0.706400	+	0.707813i	$0.749682\pi$
$314$	15.3638	−	8.21975i	0.867029	−	0.463867i
$315$	4.65621	−	3.37957i	0.262348	−	0.190417i
$316$	5.65669	+	3.77336i	0.318214	+	0.212268i
$317$	19.1683			1.07660			0.538300	−	0.842754i	$-0.319067\pi$
$317$	19.1683			1.07660			0.538300	+	0.842754i	$0.319067\pi$
$318$	−6.24888	+	11.7104i	−0.350420	+	0.656686i
$319$		−	5.29600i		−	0.296519i
$320$	−5.48682	+	1.87672i	−0.306722	+	0.104912i
$321$	2.46838	+	1.21632i	0.137772	+	0.0678886i
$322$	−16.1234	−	10.6376i	−0.898524	−	0.592813i
$323$		−	15.1158i		−	0.841064i
$324$	−5.75169	+	17.0563i	−0.319538	+	0.947573i
$325$	15.0138	−	8.66821i	0.832815	−	0.480826i
$326$	0.261999	−	8.09891i	0.0145108	−	0.448557i
$327$	8.44098	+	12.6244i	0.466787	+	0.698130i
$328$	2.27102	+	1.62341i	0.125396	+	0.0896380i
$329$	−30.6280	−	0.835440i	−1.68858	−	0.0460593i
$330$	−0.543925	−	0.873348i	−0.0299421	−	0.0480762i
$331$		−	7.75625i		−	0.426322i	−0.977017	−	0.213161i	$-0.931624\pi$
$331$		−	7.75625i		−	0.426322i	0.977017	−	0.213161i	$-0.0683759\pi$
$332$	13.8345	+	0.896028i	0.759265	+	0.0491759i
$333$	−3.98678	+	9.64178i	−0.218474	+	0.528366i
$334$	−11.8584	−	0.383619i	−0.648863	−	0.0209907i
$335$	1.14480	+	1.98285i	0.0625472	+	0.108335i
$336$	−7.68686	−	16.6407i	−0.419353	−	0.907823i
$337$	−16.8555	+	29.1945i	−0.918175	+	1.59033i	−0.115990	+	0.993250i	$0.537004\pi$
$337$	−16.8555	+	29.1945i	−0.918175	+	1.59033i	−0.802185	+	0.597076i	$0.796329\pi$
$338$	−1.50103	+	2.41594i	−0.0816455	+	0.131410i
$339$	−5.06867	+	10.2862i	−0.275292	+	0.558672i
$340$	2.37503	+	4.80672i	0.128804	+	0.260681i
$341$	0.425895	+	0.245891i	0.0230635	+	0.0133157i
$342$	−17.2556	+	1.71701i	−0.933074	+	0.0928454i
$343$	−18.4583	−	1.51347i	−0.996655	−	0.0817195i
$344$	32.5604	−	14.7984i	1.75554	−	0.797878i
$345$	2.86492	−	5.81401i	0.154242	−	0.313016i
$346$	−22.2817	+	11.9209i	−1.19787	+	0.640872i
$347$			0.861953i			0.0462721i	0.999732	+	0.0231360i	$0.00736509\pi$
$347$			0.861953i			0.0462721i	−0.999732	+	0.0231360i	$0.992635\pi$
$348$	31.6596	−	0.0342290i	1.69713	−	0.00183486i
$349$	29.7538	−	17.1783i	1.59268	−	0.919535i	0.599838	−	0.800122i	$-0.295232\pi$
$349$	29.7538	−	17.1783i	1.59268	−	0.919535i	0.992845	−	0.119414i	$-0.0381015\pi$
$350$	16.7126	+	0.997401i	0.893325	+	0.0533133i
$351$	19.0697	+	6.45360i	1.01787	+	0.344468i
$352$	−3.06566	+	1.16060i	−0.163400	+	0.0618599i
$353$	−22.9489	−	13.2495i	−1.22145	−	0.705202i	−0.256220	−	0.966619i	$-0.582477\pi$
$353$	−22.9489	−	13.2495i	−1.22145	−	0.705202i	−0.965226	+	0.261416i	$0.915810\pi$
$354$	0.502229	+	0.806400i	0.0266932	+	0.0428597i
$355$	−2.74181	−	4.74896i	−0.145520	−	0.252049i
$356$	4.92066	−	2.43133i	0.260795	−	0.128860i
$357$	−14.3401	+	9.03227i	−0.758959	+	0.478038i
$358$	−30.2057	−	18.7669i	−1.59642	−	0.991863i
$359$	−20.6811	−	11.9402i	−1.09150	−	0.630181i	−0.157528	−	0.987515i	$-0.550352\pi$
$359$	−20.6811	−	11.9402i	−1.09150	−	0.630181i	−0.933977	+	0.357334i	$0.883686\pi$
$360$	5.21738	−	3.25724i	0.274980	−	0.171672i
$361$	1.14715	+	1.98692i	0.0603761	+	0.104574i
$362$	−26.6683	+	14.2677i	−1.40165	+	0.749896i
$363$	10.2667	+	15.3549i	0.538860	+	0.805922i
$364$	−18.6211	+	8.57726i	−0.976009	+	0.449570i
$365$	4.26680	−	7.39032i	0.223335	−	0.386827i
$366$	−1.85341	+	1.15431i	−0.0968794	+	0.0603369i
$367$	0.770528	−	1.33459i	0.0402212	−	0.0696652i	−0.845214	−	0.534428i	$-0.820527\pi$
$367$	0.770528	−	1.33459i	0.0402212	−	0.0696652i	0.885435	+	0.464763i	$0.153860\pi$
$368$	−16.4023	−	12.5457i	−0.855027	−	0.653989i
$369$	−2.73625	−	1.13141i	−0.142443	−	0.0588990i
$370$	3.14355	−	1.68182i	0.163425	−	0.0874338i
$371$	6.82722	+	12.6069i	0.354451	+	0.654519i
$372$	−1.46719	+	2.54760i	−0.0760702	+	0.132087i
$373$	−15.7744	−	27.3221i	−0.816770	−	1.41469i	−0.908050	−	0.418862i	$-0.862429\pi$
$373$	−15.7744	−	27.3221i	−0.816770	−	1.41469i	0.0912800	−	0.995825i	$-0.470904\pi$
$374$	1.42970	+	2.67230i	0.0739282	+	0.138182i
$375$	0.781655	+	11.8696i	0.0403645	+	0.612944i
$376$	−32.6009	−	3.17277i	−1.68126	−	0.163623i
$377$		−	35.4097i		−	1.82369i
$378$	11.9398	+	15.3441i	0.614116	+	0.789216i
$379$		−	21.4907i		−	1.10390i	−0.833876	−	0.551951i	$-0.813883\pi$
$379$		−	21.4907i		−	1.10390i	0.833876	−	0.551951i	$-0.186117\pi$
$380$	4.92934	+	3.28817i	0.252870	+	0.168680i
$381$	1.04794	+	15.9132i	0.0536874	+	0.815256i
$382$	−0.497567	+	0.266202i	−0.0254578	+	0.0136201i
$383$	−2.12781	−	3.68547i	−0.108726	−	0.188319i	0.806529	−	0.591195i	$-0.201344\pi$
$383$	−2.12781	−	3.68547i	−0.108726	−	0.188319i	−0.915254	+	0.402877i	$0.868010\pi$
$384$	−6.95788	−	18.3191i	−0.355068	−	0.934841i
$385$	−1.11090	−	0.0303021i	−0.0566168	−	0.00154434i
$386$	−10.8046	−	20.1951i	−0.549938	−	1.02791i
$387$	−30.0817	+	23.1120i	−1.52914	+	1.17485i
$388$	−1.39224	+	21.4959i	−0.0706803	+	1.09129i
$389$	4.66309	−	8.07672i	0.236428	−	0.409506i	−0.723259	−	0.690577i	$-0.757357\pi$
$389$	4.66309	−	8.07672i	0.236428	−	0.409506i	0.959687	+	0.281072i	$0.0906898\pi$
$390$	−3.63675	−	5.83932i	−0.184154	−	0.295685i
$391$	−9.54621	+	16.5345i	−0.482773	+	0.836187i
$392$	−19.5720	−	2.98919i	−0.988537	−	0.150977i
$393$	−15.5371	−	23.2373i	−0.783742	−	1.17217i
$394$	15.6188	+	29.1936i	0.786863	+	1.47075i
$395$	1.23222	+	2.13426i	0.0619996	+	0.107386i
$396$	2.88820	−	1.93564i	0.145137	−	0.0972697i
$397$	−6.08981	−	3.51595i	−0.305639	−	0.176461i	0.339334	−	0.940666i	$-0.389798\pi$
$397$	−6.08981	−	3.51595i	−0.305639	−	0.176461i	−0.644973	+	0.764205i	$0.723131\pi$
$398$	9.12520	−	14.6872i	0.457405	−	0.736201i
$399$	−8.73400	+	16.5692i	−0.437247	+	0.829496i
$400$	17.7488	+	2.30878i	0.887438	+	0.115439i
$401$	−2.90076	−	5.02426i	−0.144857	−	0.250899i	0.784463	−	0.620176i	$-0.212939\pi$
$401$	−2.90076	−	5.02426i	−0.144857	−	0.250899i	−0.929320	+	0.369277i	$0.879605\pi$
$402$	−6.56755	+	4.09030i	−0.327560	+	0.204005i
$403$	2.84759	+	1.64406i	0.141849	+	0.0818964i
$404$	17.1633	−	8.48050i	0.853907	−	0.421921i
$405$	−4.60730	+	4.61869i	−0.228938	+	0.229504i
$406$	18.8320	−	28.5436i	0.934618	−	1.41660i
$407$	1.74531	−	1.00766i	0.0865119	−	0.0499477i
$408$	−15.9659	+	8.56407i	−0.790427	+	0.423985i
$409$			23.0535i			1.13992i	0.821671	+	0.569961i	$0.193042\pi$
$409$			23.0535i			1.13992i	−0.821671	+	0.569961i	$0.806958\pi$
$410$	0.477286	+	0.892111i	0.0235715	+	0.0440582i
$411$	−1.75896	+	3.56959i	−0.0867631	+	0.176075i
$412$	−21.3575	−	1.38327i	−1.05221	−	0.0681490i
$413$	1.02574	+	0.0279792i	0.0504736	+	0.00137677i
$414$	19.9595	+	9.01940i	0.980957	+	0.443280i
$415$	4.35139	+	2.51228i	0.213601	+	0.123323i
$416$	−20.4974	+	7.75989i	−1.00497	+	0.380460i
$417$	5.21344	−	10.5800i	0.255303	−	0.518107i
$418$	2.84509	+	1.76767i	0.139158	+	0.0864594i
$419$	7.60902	−	13.1792i	0.371725	−	0.643847i	−0.618106	−	0.786095i	$-0.712100\pi$
$419$	7.60902	−	13.1792i	0.371725	−	0.643847i	0.989831	+	0.142248i	$0.0454331\pi$
$420$	0.173967	−	6.64120i	0.00848870	−	0.324057i
$421$	−3.47824	−	6.02448i	−0.169519	−	0.293615i	0.768732	−	0.639571i	$-0.220888\pi$
$421$	−3.47824	−	6.02448i	−0.169519	−	0.293615i	−0.938251	+	0.345956i	$0.887555\pi$
$422$	0.623601	−	19.2767i	0.0303564	−	0.938375i
$423$	34.4418	−	4.55598i	1.67462	−	0.221519i
$424$	6.34163	+	13.9532i	0.307977	+	0.677629i
$425$		−	16.5482i		−	0.802704i
$426$	15.7294	−	9.79631i	0.762090	−	0.474633i
$427$	−0.0643068	+	2.35755i	−0.00311203	+	0.114090i
$428$	2.84872	−	1.40757i	0.137698	−	0.0680375i
$429$	−2.16143	−	3.23265i	−0.104355	−	0.156074i
$430$	12.9558	+	0.419119i	0.624783	+	0.0202117i
$431$	27.3227	−	15.7748i	1.31609	−	0.759845i	0.332993	−	0.942929i	$-0.391941\pi$
$431$	27.3227	−	15.7748i	1.31609	−	0.759845i	0.983097	+	0.183084i	$0.0586081\pi$
$432$	11.5900	+	17.2532i	0.557623	+	0.830094i
$433$			9.13238i			0.438874i	0.975627	+	0.219437i	$0.0704221\pi$
$433$			9.13238i			0.438874i	−0.975627	+	0.219437i	$0.929578\pi$
$434$	1.42107	+	2.83971i	0.0682136	+	0.136310i
$435$	10.2927	+	5.07183i	0.493495	+	0.243176i
$436$	17.4990	+	1.13337i	0.838051	+	0.0542786i
$437$			21.1006i			1.00938i
$438$	25.4416	+	13.5761i	1.21565	+	0.648690i
$439$	−22.1491			−1.05712			−0.528560	−	0.848896i	$-0.677268\pi$
$439$	−22.1491			−1.05712			−0.528560	+	0.848896i	$0.677268\pi$
$440$	−1.18246	−	0.115079i	−0.0563716	−	0.00548617i
$441$	20.9378	−	1.61491i	0.997039	−	0.0769006i
$442$	9.55919	+	17.8674i	0.454684	+	0.849864i
$443$			12.4878i			0.593313i	0.954984	+	0.296656i	$0.0958716\pi$
$443$			12.4878i			0.593313i	−0.954984	+	0.296656i	$0.904128\pi$
$444$	6.03507	+	10.4270i	0.286412	+	0.494844i
$445$	1.98922			0.0942983
$446$	−12.5026	+	20.1232i	−0.592016	+	0.952860i
$447$	−11.4471	−	17.1203i	−0.541428	−	0.809763i
$448$	−20.6498	−	4.64595i	−0.975612	−	0.219500i
$449$	23.2620			1.09780			0.548901	−	0.835888i	$-0.315047\pi$
$449$	23.2620			1.09780			0.548901	+	0.835888i	$0.315047\pi$
$450$	−18.8907	+	1.87972i	−0.890517	+	0.0886108i
$451$	0.285964	+	0.495304i	0.0134655	+	0.0233229i
$452$	5.86563	+	11.8712i	0.275896	+	0.558374i
$453$	−21.3499	−	10.5204i	−1.00311	−	0.494293i
$454$	−31.0514	−	1.00451i	−1.45731	−	0.0471440i
$455$	−7.42764	−	0.202604i	−0.348213	−	0.00949821i
$456$	−10.5488	+	17.0194i	−0.493991	+	0.797007i
$457$	−5.31974			−0.248847			−0.124423	−	0.992229i	$-0.539708\pi$
$457$	−5.31974			−0.248847			−0.124423	+	0.992229i	$0.539708\pi$
$458$	4.55857	+	2.83226i	0.213008	+	0.132343i
$459$	14.4362	−	12.6839i	0.673823	−	0.592032i
$460$	−3.31539	−	6.70986i	−0.154581	−	0.312849i
$461$	7.88185	−	4.55059i	0.367094	−	0.211942i	−0.305094	−	0.952322i	$-0.598688\pi$
$461$	7.88185	−	4.55059i	0.367094	−	0.211942i	0.672188	+	0.740380i	$0.265355\pi$
$462$	−0.0230942	−	3.75534i	−0.00107444	−	0.174714i
$463$	−0.490550	−	0.283219i	−0.0227978	−	0.0131623i	0.488558	−	0.872532i	$-0.337523\pi$
$463$	−0.490550	−	0.283219i	−0.0227978	−	0.0131623i	−0.511356	+	0.859369i	$0.670856\pi$
$464$	22.2099	−	29.0372i	1.03107	−	1.34802i
$465$	−0.885752	+	0.592236i	−0.0410758	+	0.0274643i
$466$	−29.3972	−	0.951000i	−1.36180	−	0.0440542i
$467$	4.77345	−	8.26785i	0.220889	−	0.382591i	−0.734189	−	0.678945i	$-0.762438\pi$
$467$	4.77345	−	8.26785i	0.220889	−	0.382591i	0.955078	+	0.296354i	$0.0957709\pi$
$468$	19.3109	−	12.9420i	0.892644	−	0.598242i
$469$	−0.227871	+	8.35395i	−0.0105221	+	0.385750i
$470$	−10.0836	−	6.26501i	−0.465124	−	0.288983i
$471$	1.40231	+	21.2944i	0.0646149	+	0.981192i
$472$	1.09182	+	0.106257i	0.0502549	+	0.00489089i
$473$	7.32745			0.336917
$474$	−7.06905	+	4.40263i	−0.324692	+	0.202220i
$475$	−9.14438	−	15.8385i	−0.419573	−	0.726722i
$476$	−1.79682	+	19.4867i	−0.0823572	+	0.893172i
$477$	−9.90427	−	12.8910i	−0.453485	−	0.590239i
$478$	−0.0461603	+	1.42690i	−0.00211132	+	0.0652651i
$479$	11.9617	−	20.7183i	0.546545	−	0.946644i	−0.451963	−	0.892037i	$-0.649276\pi$
$479$	11.9617	−	20.7183i	0.546545	−	0.946644i	0.998508	−	0.0546071i	$-0.0173906\pi$
$480$	0.680302	−	7.06951i	0.0310514	−	0.322678i
$481$	11.6694	−	6.73732i	0.532078	−	0.307195i
$482$	−1.19021	+	36.7918i	−0.0542128	+	1.67582i
$483$	20.0178	−	12.6085i	0.910843	−	0.573705i
$484$	21.2838	+	1.37851i	0.967447	+	0.0626593i
$485$	−3.90355	+	6.76115i	−0.177251	+	0.307008i
$486$	−16.1192	−	15.0390i	−0.731182	−	0.682183i
$487$	−13.0207	+	7.51748i	−0.590022	+	0.340650i	−0.765106	−	0.643904i	$-0.777314\pi$
$487$	−13.0207	+	7.51748i	−0.590022	+	0.340650i	0.175084	+	0.984553i	$0.443980\pi$
$488$	−0.244220	+	2.50941i	−0.0110553	+	0.113596i
$489$	8.90217	+	4.38665i	0.402570	+	0.198371i
$490$	−5.87964	−	4.11358i	−0.265615	−	0.185832i
$491$	13.4272	+	7.75218i	0.605960	+	0.349851i	0.771383	−	0.636372i	$-0.219566\pi$
$491$	13.4272	+	7.75218i	0.605960	+	0.349851i	−0.165423	+	0.986223i	$0.552899\pi$
$492$	−2.95909	+	1.71270i	−0.133406	+	0.0772144i
$493$	−29.2714	−	16.8998i	−1.31832	−	0.761130i
$494$	19.0226	+	11.8188i	0.855869	+	0.531755i
$495$	1.24923	−	0.165249i	0.0561488	−	0.00742740i
$496$	1.30393	+	3.13427i	0.0585483	+	0.140733i
$497$	0.545753	−	20.0078i	0.0244804	−	0.897474i
$498$	−7.99353	+	14.9799i	−0.358199	+	0.671264i
$499$	−0.376114	+	0.217150i	−0.0168372	+	0.00972096i	−0.508395	−	0.861124i	$-0.669761\pi$
$499$	−0.376114	+	0.217150i	−0.0168372	+	0.00972096i	0.491558	+	0.870845i	$0.336428\pi$
$500$	11.4266	+	7.62222i	0.511011	+	0.340876i
$501$	6.42293	−	13.0346i	0.286955	−	0.582341i
$502$	12.2887	+	22.9692i	0.548472	+	1.02517i
$503$	16.6525			0.742496			0.371248	−	0.928534i	$-0.378930\pi$
$503$	16.6525			0.742496			0.371248	+	0.928534i	$0.378930\pi$
$504$	22.4494	−	0.162329i	0.999974	−	0.00723072i
$505$	6.93844			0.308756
$506$	−1.99577	−	3.73036i	−0.0887229	−	0.165835i
$507$	−1.93623	−	2.89583i	−0.0859908	−	0.128608i
$508$	15.3192	+	10.2188i	0.679679	+	0.453388i
$509$	−9.83654	+	5.67913i	−0.435997	+	0.251723i	−0.701898	−	0.712277i	$-0.747664\pi$
$509$	−9.83654	+	5.67913i	−0.435997	+	0.251723i	0.265901	+	0.964000i	$0.414330\pi$
$510$	−6.56276	+	0.219408i	−0.290604	+	0.00971556i
$511$	27.3893	−	14.8326i	1.21163	−	0.656154i
$512$	−21.6758	−	6.49309i	−0.957944	−	0.286957i
$513$	6.80812	−	20.1172i	0.300586	−	0.888198i
$514$	15.0943	+	9.37817i	0.665782	+	0.413653i
$515$	−6.71761	−	3.87841i	−0.296013	−	0.170903i
$516$	0.0473586	+	43.8037i	0.00208485	+	1.92835i
$517$	−5.81159	−	3.35532i	−0.255593	−	0.147567i
$518$	12.9898	+	0.775225i	0.570738	+	0.0340614i
$519$	−2.03373	−	30.8827i	−0.0892709	−	1.35560i
$520$	−7.90608	−	0.769433i	−0.346705	−	0.0337418i
$521$	−30.1497	+	17.4069i	−1.32088	+	0.762612i	−0.983869	−	0.178888i	$-0.942750\pi$
$521$	−30.1497	+	17.4069i	−1.32088	+	0.762612i	−0.337013	+	0.941500i	$0.609417\pi$
$522$	−15.9672	+	35.3347i	−0.698867	+	1.54656i
$523$	11.7500	−	20.3516i	0.513791	−	0.889912i	−0.486081	−	0.873914i	$-0.661574\pi$
$523$	11.7500	−	20.3516i	0.513791	−	0.889912i	0.999872	−	0.0159982i	$-0.00509259\pi$
$524$	−32.2099	−	2.08616i	−1.40710	−	0.0911345i
$525$	−9.56164	+	18.1393i	−0.417304	+	0.791663i
$526$	0.454489	−	14.0491i	0.0198167	−	0.612571i
$527$	2.71812	−	1.56930i	0.118403	−	0.0683600i
$528$	0.255148	−	4.00659i	0.0111039	−	0.174364i
$529$	1.82588	−	3.16252i	0.0793862	−	0.137501i
$530$	−0.179607	+	5.55199i	−0.00780161	+	0.241163i
$531$	−1.15347	+	0.152582i	−0.0500563	+	0.00662148i
$532$	9.04843	+	19.6440i	0.392299	+	0.851674i
$533$	1.91199	+	3.31167i	0.0828175	+	0.143444i
$534$	0.224609	+	6.71833i	0.00971979	+	0.290731i
$535$	1.15162			0.0497890
$536$	−0.865390	+	8.89206i	−0.0373791	+	0.384079i
$537$	36.2056	−	24.2080i	1.56239	−	1.04465i
$538$	8.60185	+	5.34437i	0.370852	+	0.230412i
$539$	−3.39708	−	2.21664i	−0.146323	−	0.0954773i
$540$	0.995937	+	7.46686i	0.0428583	+	0.321323i
$541$	3.83947	−	6.65016i	0.165072	−	0.285913i	−0.771609	−	0.636097i	$-0.780548\pi$
$541$	3.83947	−	6.65016i	0.165072	−	0.285913i	0.936681	+	0.350184i	$0.113881\pi$
$542$	8.79529	+	0.284527i	0.377790	+	0.0122215i
$543$	−2.43411	−	36.9625i	−0.104458	−	1.58621i
$544$	−3.36799	+	20.6477i	−0.144402	+	0.885261i
$545$	5.50400	+	3.17774i	0.235766	+	0.136119i
$546$	−0.154411	−	25.1087i	−0.00660818	−	1.07455i
$547$	3.76933	−	2.17622i	0.161165	−	0.0930485i	−0.417248	−	0.908792i	$-0.637006\pi$
$547$	3.76933	−	2.17622i	0.161165	−	0.0930485i	0.578413	+	0.815744i	$0.303672\pi$
$548$	2.03553	+	4.11961i	0.0869534	+	0.175981i
$549$	−0.350690	−	2.65111i	−0.0149671	−	0.113147i
$550$	3.11469	+	1.93517i	0.132811	+	0.0825160i
$551$	−37.3549			−1.59137
$552$	22.2873	−	11.9549i	0.948610	−	0.508834i
$553$	−0.245271	+	8.99186i	−0.0104300	+	0.382373i
$554$	−37.0813	−	1.19958i	−1.57544	−	0.0509653i
$555$	0.286923	+	4.35699i	0.0121792	+	0.184944i
$556$	−6.03316	−	12.2103i	−0.255863	−	0.517830i
$557$	16.1918	+	28.0450i	0.686068	+	1.18830i	0.973100	+	0.230384i	$0.0739981\pi$
$557$	16.1918	+	28.0450i	0.686068	+	1.18830i	−0.287032	+	0.957921i	$0.592669\pi$
$558$	−2.10021	−	2.92463i	−0.0889089	−	0.123810i
$559$	48.9923			2.07215
$560$	−5.96385	−	4.82495i	−0.252019	−	0.203891i
$561$	−3.70384	+	0.243911i	−0.156376	+	0.0102979i
$562$	6.40487	−	10.3088i	0.270173	−	0.434848i
$563$	15.0531			0.634411			0.317205	−	0.948357i	$-0.397256\pi$
$563$	15.0531			0.634411			0.317205	+	0.948357i	$0.397256\pi$
$564$	20.0206	−	34.7635i	0.843020	−	1.46381i
$565$			4.79904i			0.201897i
$566$	19.1562	+	35.8054i	0.805194	+	1.50501i
$567$	−23.1530	+	5.56209i	−0.972336	+	0.233586i
$568$	2.07262	−	21.2966i	0.0869652	−	0.893586i
$569$	−31.4512			−1.31850			−0.659252	−	0.751922i	$-0.729127\pi$
$569$	−31.4512			−1.31850			−0.659252	+	0.751922i	$0.729127\pi$
$570$	−6.16009	+	3.83653i	−0.258018	+	0.160694i
$571$			0.980970i			0.0410523i	0.999789	+	0.0205262i	$0.00653414\pi$
$571$			0.980970i			0.0410523i	−0.999789	+	0.0205262i	$0.993466\pi$
$572$	−4.48086	−	0.290215i	−0.187354	−	0.0121345i
$573$	−0.0454147	−	0.689633i	−0.00189723	−	0.0288098i
$574$	−0.220002	+	3.68638i	−0.00918270	+	0.153867i
$575$			23.1001i			0.963343i
$576$	23.9531	+	1.49938i	0.998047	+	0.0624744i
$577$	−6.71704	+	3.87808i	−0.279634	+	0.161447i	−0.633258	−	0.773941i	$-0.718283\pi$
$577$	−6.71704	+	3.87808i	−0.279634	+	0.161447i	0.353624	+	0.935388i	$0.384949\pi$
$578$	−4.69675	−	0.151940i	−0.195359	−	0.00631986i
$579$	27.9906	−	1.84328i	1.16325	−	0.0766042i
$580$	11.8786	−	5.86929i	0.493232	−	0.243709i
$581$	8.73334	+	16.1267i	0.362320	+	0.669049i
$582$	−23.2756	−	12.4203i	−0.964805	−	0.514837i
$583$			3.14006i			0.130048i
$584$	30.3143	−	13.7776i	1.25441	−	0.570120i
$585$	8.35252	−	1.10488i	0.345334	−	0.0456811i
$586$	1.08734	−	33.6118i	0.0449176	−	1.38849i
$587$	9.68642	+	16.7774i	0.399801	+	0.692476i	0.993701	−	0.112063i	$-0.0357458\pi$
$587$	9.68642	+	16.7774i	0.399801	+	0.692476i	−0.593900	+	0.804539i	$0.702412\pi$
$588$	13.2291	−	20.3221i	0.545561	−	0.838071i
$589$	1.73437	−	3.00402i	0.0714635	−	0.123778i
$590$	0.337705	+	0.209818i	0.0139031	+	0.00863806i
$591$	−40.4625	+	2.66460i	−1.66441	+	0.109607i
$592$	13.7951	+	1.79449i	0.566976	+	0.0737529i
$593$	8.54276	+	4.93217i	0.350809	+	0.202540i	0.665042	−	0.746806i	$-0.268414\pi$
$593$	8.54276	+	4.93217i	0.350809	+	0.202540i	−0.314232	+	0.949346i	$0.601747\pi$
$594$	0.699160	+	4.20045i	0.0286869	+	0.172346i
$595$	−3.71244	+	6.04335i	−0.152195	+	0.247753i
$596$	−23.7309	−	1.53700i	−0.972058	−	0.0629580i
$597$	11.7709	+	17.6046i	0.481749	+	0.720507i
$598$	−13.3440	−	24.9417i	−0.545677	−	1.01994i
$599$			30.9174i			1.26325i	0.775274	+	0.631625i	$0.217612\pi$
$599$			30.9174i			1.26325i	−0.775274	+	0.631625i	$0.782388\pi$
$600$	−11.5484	+	18.6322i	−0.471460	+	0.760656i
$601$	13.3705	−	7.71949i	0.545396	−	0.314885i	−0.201867	−	0.979413i	$-0.564701\pi$
$601$	13.3705	−	7.71949i	0.545396	−	0.314885i	0.747263	+	0.664528i	$0.231368\pi$
$602$	39.4925	+	26.0557i	1.60960	+	1.06195i
$603$	−1.24267	−	9.39418i	−0.0506054	−	0.382561i
$604$	−24.6396	+	12.1746i	−1.00257	+	0.495377i
$605$	6.69445	+	3.86504i	0.272168	+	0.157136i
$606$	0.783440	+	23.4336i	0.0318251	+	0.951925i
$607$	−4.56330	−	7.90387i	−0.185219	−	0.320808i	0.758432	−	0.651753i	$-0.225966\pi$
$607$	−4.56330	−	7.90387i	−0.185219	−	0.320808i	−0.943650	+	0.330945i	$0.892633\pi$
$608$	8.18616	+	21.6234i	0.331993	+	0.876943i
$609$	22.3210	+	35.4380i	0.904492	+	1.43602i
$610$	−0.482240	+	0.776174i	−0.0195253	+	0.0314264i
$611$	−38.8570	−	22.4341i	−1.57199	−	0.907587i
$612$	−1.48204	−	22.1400i	−0.0599080	−	0.894958i
$613$	−10.5959	−	18.3526i	−0.427963	−	0.741253i	0.568729	−	0.822525i	$-0.307435\pi$
$613$	−10.5959	−	18.3526i	−0.427963	−	0.741253i	−0.996692	+	0.0812716i	$0.974102\pi$
$614$	−8.30309	−	15.5196i	−0.335086	−	0.626319i
$615$	−1.23647	+	0.0814261i	−0.0498594	+	0.00328342i
$616$	−3.45766	−	2.61701i	−0.139313	−	0.105442i
$617$	−1.36130	+	2.35785i	−0.0548040	+	0.0949233i	−0.892126	−	0.451787i	$-0.850787\pi$
$617$	−1.36130	+	2.35785i	−0.0548040	+	0.0949233i	0.837322	+	0.546710i	$0.184120\pi$
$618$	12.3403	−	23.1257i	0.496400	−	0.930253i
$619$	−9.77457	+	16.9300i	−0.392873	+	0.680476i	−0.992827	−	0.119558i	$-0.961852\pi$
$619$	−9.77457	+	16.9300i	−0.392873	+	0.680476i	0.599954	+	0.800034i	$0.295185\pi$
$620$	−0.0795197	+	1.22777i	−0.00319359	+	0.0493083i
$621$	−20.1520	+	17.7058i	−0.808670	+	0.710511i
$622$	−18.5124	−	34.6022i	−0.742281	−	1.38742i
$623$	6.18661	+	3.80044i	0.247861	+	0.152262i
$624$	1.70595	−	26.7886i	0.0682928	−	1.07240i
$625$	−8.69734	−	15.0642i	−0.347894	−	0.602570i
$626$	−31.2303	+	16.7084i	−1.24821	+	0.667803i
$627$	−3.41022	+	2.28016i	−0.136191	+	0.0910609i
$628$	20.4995	+	13.6745i	0.818020	+	0.545670i
$629$		−	12.8620i		−	0.512840i
$630$	7.32055	+	3.55150i	0.291658	+	0.141495i
$631$			47.6971i			1.89879i	0.314080	+	0.949396i	$0.398304\pi$
$631$			47.6971i			1.89879i	−0.314080	+	0.949396i	$0.601696\pi$
$632$	−0.931471	+	9.57106i	−0.0370519	+	0.380716i
$633$	21.1886	+	10.4409i	0.842171	+	0.414990i
$634$	12.7879	+	23.9023i	0.507872	+	0.949280i
$635$	3.33704	+	5.77992i	0.132426	+	0.229369i
$636$	−18.7713	+	0.0202948i	−0.744332	+	0.000804740i
$637$	−22.7133	−	14.8207i	−0.899935	−	0.587218i
$638$	6.60393	−	3.53316i	0.261452	−	0.139879i
$639$	2.97621	+	22.4992i	0.117737	+	0.890054i
$640$	−6.00066	−	5.58986i	−0.237197	−	0.220958i
$641$	3.91165	−	6.77517i	0.154501	−	0.267603i	−0.778376	−	0.627798i	$-0.783956\pi$
$641$	3.91165	−	6.77517i	0.154501	−	0.267603i	0.932877	+	0.360195i	$0.117290\pi$
$642$	0.130033	+	3.88945i	0.00513200	+	0.153504i
$643$	−20.8295	+	36.0777i	−0.821435	+	1.42277i	0.0831794	+	0.996535i	$0.473493\pi$
$643$	−20.8295	+	36.0777i	−0.821435	+	1.42277i	−0.904614	+	0.426232i	$0.859841\pi$
$644$	2.50825	−	27.2022i	0.0988388	−	1.07192i
$645$	−7.01730	+	14.2408i	−0.276306	+	0.560730i
$646$	18.8489	−	10.0843i	0.741599	−	0.396761i
$647$	9.38911	+	16.2624i	0.369124	+	0.639342i	0.989429	−	0.145019i	$-0.0463244\pi$
$647$	9.38911	+	16.2624i	0.369124	+	0.639342i	−0.620305	+	0.784361i	$0.712991\pi$
$648$	−25.1058	+	4.20674i	−0.986251	+	0.165257i
$649$	0.194632	+	0.112371i	0.00763999	+	0.00441095i
$650$	20.8252	+	12.9388i	0.816833	+	0.507502i
$651$	−3.88622	+	0.149648i	−0.152313	+	0.00586517i
$652$	10.2739	−	5.07638i	0.402355	−	0.198806i
$653$	−0.450392	−	0.780101i	−0.0176252	−	0.0305277i	0.857078	−	0.515186i	$-0.172277\pi$
$653$	−0.450392	−	0.780101i	−0.0176252	−	0.0305277i	−0.874703	+	0.484658i	$0.838944\pi$
$654$	−10.1109	+	18.9478i	−0.395367	+	0.740918i
$655$	−10.1311	−	5.84917i	−0.395854	−	0.228546i
$656$	−0.509259	+	3.91493i	−0.0198832	+	0.152852i
$657$	−28.0065	+	21.5176i	−1.09264	+	0.839483i
$658$	−19.3913	−	38.7495i	−0.755953	−	1.51061i
$659$	11.5880	−	6.69033i	0.451404	−	0.260618i	−0.257019	−	0.966406i	$-0.582740\pi$
$659$	11.5880	−	6.69033i	0.451404	−	0.260618i	0.708423	+	0.705788i	$0.249407\pi$
$660$	0.726164	−	1.26090i	0.0282659	−	0.0490805i
$661$		−	1.69061i		−	0.0657571i	−0.999459	−	0.0328785i	$-0.989533\pi$
$661$		−	1.69061i		−	0.0657571i	0.999459	−	0.0328785i	$-0.0104674\pi$
$662$	9.67179	−	5.17449i	0.375905	−	0.201112i
$663$	−24.7643	+	1.63082i	−0.961767	+	0.0633357i
$664$	8.11218	+	17.8489i	0.314814	+	0.692672i
$665$	−0.213733	+	7.83566i	−0.00828822	+	0.303854i
$666$	−14.6827	+	1.46100i	−0.568944	+	0.0566127i
$667$	40.8609	+	23.5911i	1.58214	+	0.913450i
$668$	−7.43283	−	15.0430i	−0.287585	−	0.582030i
$669$	−16.1275	−	24.1204i	−0.623524	−	0.932547i
$670$	−1.70881	+	2.75037i	−0.0660173	+	0.106256i
$671$	−0.258271	+	0.447339i	−0.00997045	+	0.0172693i
$672$	15.6222	−	20.6869i	0.602639	−	0.798014i
$673$	12.6580	+	21.9243i	0.487930	+	0.845119i	0.999904	−	0.0138817i	$-0.00441883\pi$
$673$	12.6580	+	21.9243i	0.487930	+	0.845119i	−0.511974	+	0.859001i	$0.671085\pi$
$674$	−47.6495	−	1.54146i	−1.83539	−	0.0593748i
$675$	7.45326	−	22.0236i	0.286876	−	0.847688i
$676$	−4.01399	−	0.259977i	−0.154384	−	0.00999913i
$677$			32.9850i			1.26772i	0.773449	+	0.633859i	$0.218530\pi$
$677$			32.9850i			1.26772i	−0.773449	+	0.633859i	$0.781470\pi$
$678$	−16.2081	+	0.541874i	−0.622469	+	0.0208106i
$679$	−25.0576	+	13.5698i	−0.961621	+	0.520761i
$680$	−4.40935	+	6.16833i	−0.169091	+	0.236544i
$681$	16.8185	−	34.1311i	0.644486	−	1.30791i
$682$	−0.0224871	+	0.695121i	−0.000861077	+	0.0266175i
$683$	5.67586	−	3.27696i	0.217181	−	0.125389i	−0.387463	−	0.921885i	$-0.626649\pi$
$683$	5.67586	−	3.27696i	0.217181	−	0.125389i	0.604644	+	0.796496i	$0.293315\pi$
$684$	−13.6529	−	20.3716i	−0.522031	−	0.778929i
$685$			1.66539i			0.0636314i
$686$	−10.4270	−	24.0266i	−0.398104	−	0.917340i
$687$	−5.46407	+	3.65341i	−0.208467	+	0.139386i
$688$	40.1755	+	30.7292i	1.53168	+	1.17154i
$689$			20.9948i			0.799840i
$690$	9.16118	−	0.306279i	0.348760	−	0.0116599i
$691$	0.410768			0.0156264			0.00781318	−	0.999969i	$-0.497513\pi$
$691$	0.410768			0.0156264			0.00781318	+	0.999969i	$0.497513\pi$
$692$	−29.7299	−	19.8317i	−1.13016	−	0.753889i
$693$	4.20090	+	1.87274i	0.159579	+	0.0711395i
$694$	−1.07483	+	0.575041i	−0.0407999	+	0.0218283i
$695$		−	4.93611i		−	0.187237i
$696$	21.1640	+	39.4556i	0.802218	+	1.49556i
$697$	3.65011			0.138258
$698$	41.2707	+	25.6417i	1.56212	+	0.970551i
$699$	15.9226	−	32.3129i	0.602247	−	1.22219i
$700$	9.90587	+	21.5055i	0.374407	+	0.812830i
$701$	17.5496			0.662841			0.331420	−	0.943483i	$-0.392472\pi$
$701$	17.5496			0.662841			0.331420	+	0.943483i	$0.392472\pi$
$702$	4.67468	+	28.0847i	0.176434	+	1.05999i
$703$	−7.10742	−	12.3104i	−0.268061	−	0.464296i
$704$	−3.49244	−	3.04850i	−0.131626	−	0.114895i
$705$	12.0866	−	8.08141i	0.455208	−	0.304363i
$706$	1.21169	−	37.4558i	0.0456027	−	1.40967i
$707$	21.5790	+	13.2560i	0.811560	+	0.498543i
$708$	−0.670499	+	1.16424i	−0.0251989	+	0.0437549i
$709$	−16.8431			−0.632557			−0.316279	−	0.948666i	$-0.602433\pi$
$709$	−16.8431			−0.632557			−0.316279	+	0.948666i	$0.602433\pi$
$710$	4.09263	−	6.58716i	0.153594	−	0.247212i
$711$	−1.33756	−	10.1115i	−0.0501623	−	0.379212i
$712$	6.31454	+	4.51387i	0.236648	+	0.169165i
$713$	−3.79431	+	2.19065i	−0.142098	+	0.0820404i
$714$	−20.8298	−	11.8559i	−0.779534	−	0.443695i
$715$	−1.40938	−	0.813704i	−0.0527077	−	0.0304308i
$716$	3.25041	−	50.1856i	0.121473	−	1.87552i
$717$	−1.56843	−	0.772861i	−0.0585740	−	0.0288630i
$718$	1.09195	−	33.7544i	0.0407513	−	1.25970i
$719$	−15.7871	+	27.3440i	−0.588759	+	1.01976i	0.405636	+	0.914035i	$0.367050\pi$
$719$	−15.7871	+	27.3440i	−0.588759	+	1.01976i	−0.994395	+	0.105726i	$0.966283\pi$
$720$	7.54238	+	4.33288i	0.281088	+	0.161477i
$721$	−13.4824	−	24.8962i	−0.502111	−	0.927182i
$722$	−1.71231	+	2.75600i	−0.0637258	+	0.102568i
$723$	−40.4409	−	19.9277i	−1.50401	−	0.741121i
$724$	−35.5828	−	23.7359i	−1.32243	−	0.882139i
$725$	−40.8946			−1.51879
$726$	−12.2978	+	23.0460i	−0.456412	+	0.855317i
$727$	−14.8377	−	25.6997i	−0.550301	−	0.953150i	−0.998253	−	0.0590918i	$-0.981180\pi$
$727$	−14.8377	−	25.6997i	−0.550301	−	0.953150i	0.447951	−	0.894058i	$-0.352154\pi$
$728$	−23.1184	−	17.4977i	−0.856824	−	0.648507i
$729$	24.9256	−	10.3786i	0.923169	−	0.384394i
$730$	12.0620	+	0.390207i	0.446436	+	0.0144422i
$731$	23.3823	−	40.4994i	0.864827	−	1.49792i
$732$	−2.67587	−	1.54106i	−0.0989030	−	0.0569592i
$733$	−13.7406	+	7.93312i	−0.507519	+	0.293016i	−0.731813	−	0.681505i	$-0.761326\pi$
$733$	−13.7406	+	7.93312i	−0.507519	+	0.293016i	0.224294	+	0.974522i	$0.427992\pi$
$734$	2.17824	+	0.0704661i	0.0804004	+	0.00260095i
$735$	7.56128	−	4.47935i	0.278902	−	0.165223i
$736$	4.70150	−	28.8228i	0.173300	−	1.06242i
$737$	−0.915182	+	1.58514i	−0.0337112	+	0.0583894i
$738$	−0.414619	−	4.16682i	−0.0152623	−	0.153383i
$739$	0.242332	−	0.139910i	0.00891432	−	0.00514668i	−0.495536	−	0.868587i	$-0.665028\pi$
$739$	0.242332	−	0.139910i	0.00891432	−	0.00514668i	0.504451	+	0.863441i	$0.331695\pi$
$740$	4.19436	+	2.79790i	0.154188	+	0.102853i
$741$	−22.8012	+	15.2455i	−0.837623	+	0.560056i
$742$	−11.1657	+	16.9239i	−0.409907	+	0.621295i
$743$	8.28791	+	4.78503i	0.304054	+	0.175546i	0.644263	−	0.764804i	$-0.277164\pi$
$743$	8.28791	+	4.78503i	0.304054	+	0.175546i	−0.340209	+	0.940350i	$0.610498\pi$
$744$	−4.15559	−	0.129936i	−0.152351	−	0.00476368i
$745$	−7.46415	−	4.30943i	−0.273465	−	0.157885i
$746$	23.5461	−	37.8978i	0.862084	−	1.38754i
$747$	−12.6695	−	16.4901i	−0.463553	−	0.603342i
$748$	−2.37847	+	3.56559i	−0.0869654	+	0.130371i
$749$	3.58162	+	2.20019i	0.130870	+	0.0803933i
$750$	−14.2795	+	8.89335i	−0.521415	+	0.324739i
$751$	−25.5319	+	14.7409i	−0.931674	+	0.537902i	−0.887341	−	0.461115i	$-0.847450\pi$
$751$	−25.5319	+	14.7409i	−0.931674	+	0.537902i	−0.0443332	+	0.999017i	$0.514116\pi$
$752$	−17.7929	−	42.7689i	−0.648841	−	1.55962i
$753$	−31.8355	+	2.09648i	−1.16015	+	0.0764000i
$754$	44.1548	−	23.6231i	1.60802	−	0.860304i
$755$	−9.96081			−0.362511
$756$	−11.1681	+	25.1251i	−0.406181	+	0.913793i
$757$	27.0636			0.983643			0.491821	−	0.870696i	$-0.336331\pi$
$757$	27.0636			0.983643			0.491821	+	0.870696i	$0.336331\pi$
$758$	26.7982	−	14.3372i	0.973354	−	0.520752i
$759$	5.17031	−	0.340483i	0.187671	−	0.0123588i
$760$	−0.811699	+	8.34038i	−0.0294434	+	0.302537i
$761$	30.1287	−	17.3948i	1.09216	−	0.630561i	0.158012	−	0.987437i	$-0.449491\pi$
$761$	30.1287	−	17.3948i	1.09216	−	0.630561i	0.934152	+	0.356876i	$0.116158\pi$
$762$	−19.1441	+	11.9230i	−0.693516	+	0.431925i
$763$	11.0467	+	20.3984i	0.399916	+	0.738473i
$764$	−0.663892	−	0.442857i	−0.0240188	−	0.0160220i
$765$	3.07303	−	7.43192i	0.111106	−	0.268702i
$766$	3.17612	−	5.11202i	0.114758	−	0.184705i
$767$	1.30134	+	0.751328i	0.0469886	+	0.0271289i
$768$	18.2014	−	20.8976i	0.656787	−	0.754076i
$769$	40.8103	+	23.5618i	1.47166	+	0.849661i	0.999493	−	0.0318496i	$-0.0101398\pi$
$769$	40.8103	+	23.5618i	1.47166	+	0.849661i	0.472164	+	0.881511i	$0.343473\pi$
$770$	−0.703339	−	1.40548i	−0.0253466	−	0.0506498i
$771$	−18.0926	+	12.0972i	−0.651589	+	0.435669i
$772$	17.9746	−	26.9459i	0.646919	−	0.969803i
$773$	34.1954	−	19.7427i	1.22992	−	0.710096i	0.262909	−	0.964821i	$-0.415318\pi$
$773$	34.1954	−	19.7427i	1.22992	−	0.710096i	0.967014	+	0.254724i	$0.0819848\pi$
$774$	−48.8885	−	22.0920i	−1.75726	−	0.794081i
$775$	1.89872	−	3.28868i	0.0682041	−	0.118133i
$776$	−27.7335	+	12.6046i	−0.995575	+	0.452480i
$777$	−7.43174	+	14.0987i	−0.266612	+	0.505786i
$778$	13.1823	+	0.426448i	0.472609	+	0.0152889i
$779$	3.49358	−	2.01702i	0.125171	−	0.0722673i
$780$	4.85523	−	8.43054i	0.173845	−	0.301862i
$781$	2.19187	−	3.79643i	0.0784314	−	0.135847i
$782$	−26.9866	−	0.873017i	−0.965040	−	0.0312190i
$783$	−31.3450	−	35.6754i	−1.12018	−	1.27493i
$784$	−9.32981	−	26.3999i	−0.333208	−	0.942853i
$785$	4.46549	+	7.73445i	0.159380	+	0.276055i
$786$	18.6108	−	34.8767i	0.663827	−	1.24401i
$787$	31.0153			1.10558			0.552788	−	0.833322i	$-0.313564\pi$
$787$	31.0153			1.10558			0.552788	+	0.833322i	$0.313564\pi$
$788$	−25.9836	+	38.9522i	−0.925626	+	1.38762i
$789$	15.4426	+	7.60950i	0.549769	+	0.270905i
$790$	−1.83930	+	2.96038i	−0.0654393	+	0.105326i
$791$	−9.16864	+	14.9253i	−0.325999	+	0.530683i
$792$	4.34051	+	2.31015i	0.154233	+	0.0820875i
$793$	−1.72684	+	2.99097i	−0.0613217	+	0.106212i
$794$	0.321540	−	9.93942i	0.0114110	−	0.352737i
$795$	−6.10264	−	3.00715i	−0.216438	−	0.106653i
$796$	24.4022	+	1.58047i	0.864913	+	0.0560184i
$797$	8.30567	+	4.79528i	0.294202	+	0.169857i	0.639835	−	0.768512i	$-0.279003\pi$
$797$	8.30567	+	4.79528i	0.294202	+	0.169857i	−0.345633	+	0.938370i	$0.612336\pi$
$798$	−26.4880	+	0.162893i	−0.937664	+	0.00576635i
$799$	−37.0903	+	21.4141i	−1.31216	+	0.757575i
$800$	8.96189	+	23.6724i	0.316851	+	0.836946i
$801$	−7.60809	−	3.14587i	−0.268819	−	0.111154i
$802$	4.32988	−	6.96902i	0.152893	−	0.246085i
$803$	6.82198			0.240742
$804$	−9.48192	−	5.46073i	−0.334402	−	0.192585i
$805$	5.18232	−	8.43612i	0.182653	−	0.297334i
$806$	−0.150352	+	4.64767i	−0.00529592	+	0.163707i
$807$	−10.3105	+	6.89385i	−0.362946	+	0.242675i
$808$	22.0252	+	15.7444i	0.774844	+	0.553888i
$809$	−7.65189	−	13.2535i	−0.269026	−	0.465967i	0.699584	−	0.714550i	$-0.253368\pi$
$809$	−7.65189	−	13.2535i	−0.269026	−	0.465967i	−0.968611	+	0.248583i	$0.920035\pi$
$810$	−8.83305	−	2.66385i	−0.310362	−	0.0935981i
$811$	−7.91368			−0.277887			−0.138943	−	0.990300i	$-0.544371\pi$
$811$	−7.91368			−0.277887			−0.138943	+	0.990300i	$0.544371\pi$
$812$	48.1565	+	4.44040i	1.68996	+	0.155827i
$813$	−4.76384	+	9.66763i	−0.167075	+	0.339059i
$814$	2.42088	+	1.50410i	0.0848517	+	0.0527188i
$815$	4.15331			0.145484
$816$	−21.3305	−	14.1955i	−0.746718	−	0.496941i
$817$		−	51.6836i		−	1.80818i
$818$	−28.7470	+	15.3799i	−1.00511	+	0.537744i
$819$	28.0877	+	12.5214i	0.981465	+	0.437533i
$820$	−0.794018	+	1.19032i	−0.0277283	+	0.0415678i
$821$	25.0583			0.874541			0.437271	−	0.899330i	$-0.355945\pi$
$821$	25.0583			0.874541			0.437271	+	0.899330i	$0.355945\pi$
$822$	−5.62464	+	0.188045i	−0.196182	+	0.00655881i
$823$		−	34.5185i		−	1.20324i	−0.798783	−	0.601619i	$-0.794522\pi$
$823$		−	34.5185i		−	1.20324i	0.798783	−	0.601619i	$-0.205478\pi$
$824$	−12.5235	−	27.5549i	−0.436275	−	0.959920i
$825$	−3.73338	+	2.49623i	−0.129980	+	0.0869076i
$826$	0.649423	+	1.29774i	0.0225963	+	0.0451540i
$827$			22.6614i			0.788016i	0.919107	+	0.394008i	$0.128912\pi$
$827$			22.6614i			0.788016i	−0.919107	+	0.394008i	$0.871088\pi$
$828$	2.06883	+	30.9060i	0.0718969	+	1.07406i
$829$	7.67197	−	4.42941i	0.266458	−	0.153840i	−0.360819	−	0.932636i	$-0.617503\pi$
$829$	7.67197	−	4.42941i	0.266458	−	0.153840i	0.627277	+	0.778796i	$0.284169\pi$
$830$	−0.229752	+	7.10207i	−0.00797480	+	0.246517i
$831$	20.0845	−	40.7592i	0.696725	−	1.41392i
$832$	−23.3509	−	20.3827i	−0.809547	−	0.706641i
$833$	−23.0918	+	11.7025i	−0.800084	+	0.405468i
$834$	16.6710	−	0.557351i	0.577271	−	0.0192995i
$835$		−	6.08127i		−	0.210451i
$836$	−0.306158	+	4.72701i	−0.0105887	+	0.163487i
$837$	4.32429	−	0.864319i	0.149469	−	0.0298752i
$838$	21.5103	+	0.695858i	0.743061	+	0.0240380i
$839$	−15.4881	−	26.8261i	−0.534707	−	0.926140i	−0.999177	−	0.0405511i	$-0.987089\pi$
$839$	−15.4881	−	26.8261i	−0.534707	−	0.926140i	0.464470	−	0.885589i	$-0.346245\pi$
$840$	8.39741	−	4.21366i	0.289738	−	0.145385i
$841$	−27.2637	+	47.2222i	−0.940129	+	1.62835i
$842$	5.19187	−	8.35640i	0.178924	−	0.287981i
$843$	8.26182	+	12.3564i	0.284552	+	0.425578i
$844$	24.4534	−	12.0826i	0.841722	−	0.415900i
$845$	−1.26253	−	0.728922i	−0.0434324	−	0.0250757i
$846$	28.6586	+	39.9083i	0.985302	+	1.37208i
$847$	13.4359	+	24.8104i	0.461664	+	0.852494i
$848$	−13.1685	+	17.2165i	−0.452208	+	0.591218i
$849$	−49.6266	+	3.26808i	−1.70318	+	0.112160i
$850$	20.6350	−	11.0399i	0.707775	−	0.378665i
$851$			17.9545i			0.615471i
$852$	22.7093	+	13.0785i	0.778009	+	0.448063i
$853$	−7.55084	+	4.35948i	−0.258536	+	0.149266i	−0.623666	−	0.781691i	$-0.714358\pi$
$853$	−7.55084	+	4.35948i	−0.258536	+	0.149266i	0.365131	+	0.930956i	$0.381024\pi$
$854$	−2.98269	+	1.49262i	−0.102065	+	0.0510764i
$855$	−1.16557	−	8.81135i	−0.0398617	−	0.301342i
$856$	3.65569	+	2.61322i	0.124949	+	0.0893181i
$857$	39.9949	+	23.0911i	1.36620	+	0.788776i	0.990440	−	0.137941i	$-0.0440484\pi$
$857$	39.9949	+	23.0911i	1.36620	+	0.788776i	0.375760	+	0.926717i	$0.377382\pi$
$858$	2.58903	−	4.85185i	0.0883882	−	0.165639i
$859$	−15.4027	−	26.6783i	−0.525534	−	0.910252i	−0.999558	−	0.0297395i	$-0.990532\pi$
$859$	−15.4027	−	26.6783i	−0.525534	−	0.910252i	0.474024	−	0.880512i	$-0.342801\pi$
$860$	8.12066	+	16.4350i	0.276912	+	0.560430i
$861$	−4.00107	−	2.10906i	−0.136356	−	0.0718765i
$862$	37.8987	+	23.5466i	1.29083	+	0.802001i
$863$	12.2843	+	7.09233i	0.418161	+	0.241426i	0.694290	−	0.719695i	$-0.255718\pi$
$863$	12.2843	+	7.09233i	0.418161	+	0.241426i	−0.276129	+	0.961121i	$0.589052\pi$
$864$	−13.7821	+	25.9626i	−0.468875	+	0.883265i
$865$	−6.47619	−	11.2171i	−0.220197	−	0.381392i
$866$	−11.3878	+	6.09255i	−0.386973	+	0.207033i
$867$	2.54393	−	5.16259i	0.0863962	−	0.175331i
$868$	−2.59298	+	3.66651i	−0.0880114	+	0.124449i
$869$	−0.985065	+	1.70618i	−0.0334160	+	0.0578783i
$870$	0.542212	+	16.2182i	0.0183827	+	0.549849i
$871$	−6.11903	+	10.5985i	−0.207335	+	0.359115i
$872$	10.2610	+	22.5768i	0.347480	+	0.764547i
$873$	25.6222	−	19.6858i	0.867180	−	0.666262i
$874$	−26.3118	+	14.0770i	−0.890010	+	0.476162i
$875$	−0.495449	+	18.1636i	−0.0167492	+	0.614043i
$876$	0.0440916	+	40.7819i	0.00148972	+	1.37789i
$877$	17.4251	+	30.1812i	0.588405	+	1.01915i	0.994442	+	0.105290i	$0.0335772\pi$
$877$	17.4251	+	30.1812i	0.588405	+	1.01915i	−0.406037	+	0.913857i	$0.633089\pi$
$878$	−14.7765	−	27.6192i	−0.498683	−	0.932103i
$879$	36.9455	+	18.2053i	1.24614	+	0.614050i
$880$	−0.645364	−	1.55126i	−0.0217552	−	0.0522931i
$881$			23.0498i			0.776567i	0.921540	+	0.388283i	$0.126932\pi$
$881$			23.0498i			0.776567i	−0.921540	+	0.388283i	$0.873068\pi$
$882$	15.9821	+	25.0314i	0.538147	+	0.842851i
$883$			1.28738i			0.0433239i	0.999765	+	0.0216620i	$0.00689576\pi$
$883$			1.28738i			0.0433239i	−0.999765	+	0.0216620i	$0.993104\pi$
$884$	−15.9027	+	23.8400i	−0.534867	+	0.801825i
$885$	−0.404785	+	0.270650i	−0.0136067	+	0.00909779i
$886$	−15.5719	+	8.33107i	−0.523147	+	0.279888i
$887$	−2.51116	−	4.34946i	−0.0843165	−	0.146040i	0.820783	−	0.571240i	$-0.193537\pi$
$887$	−2.51116	−	4.34946i	−0.0843165	−	0.146040i	−0.905100	+	0.425199i	$0.860204\pi$
$888$	−8.97591	+	14.4818i	−0.301212	+	0.485977i
$889$	−0.664231	+	24.3513i	−0.0222776	+	0.816718i
$890$	1.32709	+	2.48050i	0.0444840	+	0.0831465i
$891$	−5.03921	−	1.34359i	−0.168820	−	0.0450118i
$892$	−33.4339	−	2.16544i	−1.11945	−	0.0725043i
$893$	−23.6665	+	40.9916i	−0.791969	+	1.37173i
$894$	13.7117	−	25.6957i	0.458588	−	0.859393i
$895$	9.11347	−	15.7850i	0.304630	−	0.527634i
$896$	−7.98292	−	28.8491i	−0.266691	−	0.963782i
$897$	34.5694	−	2.27651i	1.15424	−	0.0760106i
$898$	15.5189	+	29.0069i	0.517874	+	0.967974i
$899$	−3.87815	−	6.71714i	−0.129343	−	0.224029i
$900$	−14.9467	−	22.3021i	−0.498222	−	0.743403i
$901$	17.3554	+	10.0201i	0.578191	+	0.333819i
$902$	−0.426851	+	0.687023i	−0.0142126	+	0.0228754i
$903$	−49.0314	+	30.8830i	−1.63166	+	1.02772i
$904$	−10.8898	+	15.2340i	−0.362190	+	0.506674i
$905$	−7.75114	−	13.4254i	−0.257657	−	0.446274i
$906$	−1.12470	−	33.6412i	−0.0373658	−	1.11766i
$907$	23.9555	+	13.8307i	0.795430	+	0.459242i	0.841871	−	0.539680i	$-0.181455\pi$
$907$	23.9555	+	13.8307i	0.795430	+	0.459242i	−0.0464409	+	0.998921i	$0.514788\pi$
$908$	−19.4629	−	39.3902i	−0.645900	−	1.30721i
$909$	−26.5371	−	10.9728i	−0.880181	−	0.363946i
$910$	−4.70262	−	9.39719i	−0.155890	−	0.311514i
$911$	−9.94522	+	5.74187i	−0.329500	+	0.190237i	−0.655619	−	0.755092i	$-0.727592\pi$
$911$	−9.94522	+	5.74187i	−0.329500	+	0.190237i	0.326119	+	0.945329i	$0.394259\pi$
$912$	−28.2601	−	1.79966i	−0.935787	−	0.0595929i
$913$			4.01675i			0.132935i
$914$	−3.54900	−	6.63354i	−0.117390	−	0.219418i
$915$	−0.622055	−	0.930349i	−0.0205645	−	0.0307564i
$916$	−0.490544	+	7.57390i	−0.0162080	+	0.250249i
$917$	−20.3333	−	37.5468i	−0.671464	−	1.23991i
$918$	25.4473	+	9.53956i	0.839885	+	0.314853i
$919$	−23.5746	−	13.6108i	−0.777656	−	0.448980i	0.0579432	−	0.998320i	$-0.481546\pi$
$919$	−23.5746	−	13.6108i	−0.777656	−	0.448980i	−0.835599	+	0.549340i	$0.814879\pi$
$920$	6.15517	−	8.61058i	0.202930	−	0.283882i
$921$	21.5103	−	1.41653i	0.708787	−	0.0466761i
$922$	10.9327	+	6.79254i	0.360050	+	0.223701i
$923$	14.6551	−	25.3835i	0.482380	−	0.835507i
$924$	4.66738	−	2.53413i	0.153546	−	0.0833666i
$925$	−7.78093	−	13.4770i	−0.255835	−	0.443120i
$926$	0.0259009	−	0.800646i	0.000851156	−	0.0263109i
$927$	19.5590	+	25.4572i	0.642401	+	0.836124i
$928$	51.0255	+	8.32316i	1.67499	+	0.273221i
$929$		−	28.0193i		−	0.919284i	−0.888104	−	0.459642i	$-0.847978\pi$
$929$		−	28.0193i		−	0.919284i	0.888104	−	0.459642i	$-0.152022\pi$
$930$	−1.32942	−	0.709401i	−0.0435933	−	0.0232622i
$931$	−15.6349	+	23.9610i	−0.512412	+	0.785291i
$932$	−18.4261	−	37.2918i	−0.603568	−	1.22153i
$933$	47.9589	−	3.15826i	1.57010	−	0.103397i
$934$	13.4943	+	0.436540i	0.441547	+	0.0142840i
$935$	−1.34529	+	0.776706i	−0.0439958	+	0.0254010i
$936$	29.0212	+	15.4459i	0.948587	+	0.504866i
$937$			7.31723i			0.239043i	0.992832	+	0.119522i	$0.0381361\pi$
$937$			7.31723i			0.239043i	−0.992832	+	0.119522i	$0.961864\pi$
$938$	−10.5691	+	5.28909i	−0.345094	+	0.172695i
$939$	−2.85049	−	43.2854i	−0.0930224	−	1.41257i
$940$	1.08509	−	16.7536i	0.0353918	−	0.546442i
$941$		−	17.3706i		−	0.566266i	−0.959081	−	0.283133i	$-0.908626\pi$
$941$		−	17.3706i		−	0.566266i	0.959081	−	0.283133i	$-0.0913738\pi$
$942$	−25.6178	+	15.9549i	−0.834674	+	0.519838i
$943$	−5.09532			−0.165926
$944$	0.595892	+	1.43235i	0.0193946	+	0.0466190i
$945$	−7.66272	+	6.37089i	−0.249268	+	0.207245i
$946$	4.88842	+	9.13710i	0.158936	+	0.297073i
$947$			39.3196i			1.27772i	0.769324	+	0.638858i	$0.220593\pi$
$947$			39.3196i			1.27772i	−0.769324	+	0.638858i	$0.779407\pi$
$948$	−10.2060	−	5.87771i	−0.331474	−	0.190899i
$949$	45.6126			1.48065
$950$	13.6496	−	21.9692i	0.442851	−	0.712775i
$951$	−33.1287	+	2.18164i	−1.07427	+	0.0707446i
$952$	−25.4980	+	10.7597i	−0.826396	+	0.348725i
$953$	−33.5157			−1.08568			−0.542840	−	0.839836i	$-0.682651\pi$
$953$	−33.5157			−1.08568			−0.542840	+	0.839836i	$0.682651\pi$
$954$	9.46716	−	20.9504i	0.306511	−	0.678294i
$955$	−0.144618	−	0.250486i	−0.00467973	−	0.00810553i
$956$	−1.81010	+	0.894381i	−0.0585428	+	0.0289263i
$957$	0.602764	+	9.15311i	0.0194846	+	0.295878i
$958$	33.8152	+	1.09392i	1.09252	+	0.0353430i
$959$	−3.18176	+	5.17947i	−0.102744	+	0.167254i
$960$	9.26931	−	3.86802i	0.299166	−	0.124840i
$961$	−30.2798			−0.976766
$962$	16.1863	+	10.0566i	0.521867	+	0.324239i
$963$	−4.40456	−	1.82124i	−0.141935	−	0.0586888i
$964$	−46.6722	+	23.0610i	−1.50321	+	0.742746i
$965$	10.1667	−	5.86972i	0.327276	−	0.188953i
$966$	29.0770	+	16.5500i	0.935537	+	0.532488i
$967$	17.2860	+	9.98006i	0.555879	+	0.320937i	0.751490	−	0.659745i	$-0.229336\pi$
$967$	17.2860	+	9.98006i	0.555879	+	0.320937i	−0.195611	+	0.980682i	$0.562669\pi$
$968$	12.4803	+	27.4599i	0.401132	+	0.882594i
$969$	1.72040	+	26.1247i	0.0552673	+	0.839246i
$970$	−11.0351	−	0.356987i	−0.354317	−	0.0114621i
$971$	26.7791	−	46.3827i	0.859381	−	1.48849i	−0.0131389	−	0.999914i	$-0.504182\pi$
$971$	26.7791	−	46.3827i	0.859381	−	1.48849i	0.872520	−	0.488578i	$-0.162484\pi$
$972$	7.99941	−	30.1332i	0.256581	−	0.966523i
$973$	9.43052	−	15.3516i	0.302329	−	0.492150i
$974$	−18.0606	−	11.2211i	−0.578700	−	0.359549i
$975$	−24.9619	+	16.6901i	−0.799419	+	0.534512i
$976$	−3.29208	+	1.36959i	−0.105377	+	0.0438394i
$977$	46.1501			1.47647			0.738236	−	0.674543i	$-0.235659\pi$
$977$	46.1501			1.47647			0.738236	+	0.674543i	$0.235659\pi$
$978$	0.468962	+	14.0272i	0.0149958	+	0.448541i
$979$	0.795117	+	1.37718i	0.0254121	+	0.0440150i
$980$	1.20697	−	10.0760i	0.0385552	−	0.321867i
$981$	−16.0254	−	20.8581i	−0.511653	−	0.665948i
$982$	−0.708950	+	21.9150i	−0.0226235	+	0.699336i
$983$	14.9059	−	25.8179i	0.475426	−	0.823462i	−0.524178	−	0.851609i	$-0.675627\pi$
$983$	14.9059	−	25.8179i	0.475426	−	0.823462i	0.999604	+	0.0281471i	$0.00896069\pi$
$984$	−4.10980	−	2.54728i	−0.131016	−	0.0812044i
$985$	−14.6966	+	8.48511i	−0.468274	+	0.270358i
$986$	1.54552	−	47.7750i	0.0492193	−	1.52147i
$987$	53.0297	−	2.04203i	1.68795	−	0.0649986i
$988$	−2.04701	+	31.6054i	−0.0651240	+	1.00550i
$989$	−32.6402	+	56.5345i	−1.03790	+	1.79769i
$990$	1.03947	+	1.44751i	0.0330365	+	0.0460048i
$991$	−34.7638	+	20.0709i	−1.10431	+	0.637574i	−0.937350	−	0.348390i	$-0.886729\pi$
$991$	−34.7638	+	20.0709i	−1.10431	+	0.637574i	−0.166960	+	0.985964i	$0.553395\pi$
$992$	−3.03843	+	3.71695i	−0.0964702	+	0.118013i
$993$	0.882778	+	13.4052i	0.0280141	+	0.425401i
$994$	25.3132	−	12.6674i	0.802886	−	0.401787i
$995$	7.67527	+	4.43132i	0.243323	+	0.140482i
$996$	−24.0122	+	0.0259610i	−0.760856	+	0.000822604i
$997$	−39.4866	−	22.7976i	−1.25055	−	0.722007i	−0.279333	−	0.960194i	$-0.590113\pi$
$997$	−39.4866	−	22.7976i	−1.25055	−	0.722007i	−0.971219	+	0.238187i	$0.923447\pi$
$998$	−0.521699	−	0.324134i	−0.0165141	−	0.0102603i
$999$	5.79301	−	17.1177i	0.183283	−	0.541580i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.bj.b.103.28	yes	84
3.2	odd	2		756.2.bj.b.523.15		84
4.3	odd	2	inner	252.2.bj.b.103.27	yes	84
7.3	odd	6		252.2.n.b.31.1	✓	84
9.2	odd	6		756.2.n.b.19.13		84
9.7	even	3		252.2.n.b.187.30	yes	84
12.11	even	2		756.2.bj.b.523.16		84
21.17	even	6		756.2.n.b.199.42		84
28.3	even	6		252.2.n.b.31.30	yes	84
36.7	odd	6		252.2.n.b.187.1	yes	84
36.11	even	6		756.2.n.b.19.42		84
63.38	even	6		756.2.bj.b.451.15		84
63.52	odd	6	inner	252.2.bj.b.115.28	yes	84
84.59	odd	6		756.2.n.b.199.13		84
252.115	even	6	inner	252.2.bj.b.115.27	yes	84
252.227	odd	6		756.2.bj.b.451.16		84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.n.b.31.1	✓	84	7.3	odd	6
252.2.n.b.31.30	yes	84	28.3	even	6
252.2.n.b.187.1	yes	84	36.7	odd	6
252.2.n.b.187.30	yes	84	9.7	even	3
252.2.bj.b.103.27	yes	84	4.3	odd	2	inner
252.2.bj.b.103.28	yes	84	1.1	even	1	trivial
252.2.bj.b.115.27	yes	84	252.115	even	6	inner
252.2.bj.b.115.28	yes	84	63.52	odd	6	inner
756.2.n.b.19.13		84	9.2	odd	6
756.2.n.b.19.42		84	36.11	even	6
756.2.n.b.199.13		84	84.59	odd	6
756.2.n.b.199.42		84	21.17	even	6
756.2.bj.b.451.15		84	63.38	even	6
756.2.bj.b.451.16		84	252.227	odd	6
756.2.bj.b.523.15		84	3.2	odd	2
756.2.bj.b.523.16		84	12.11	even	2

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:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.bj (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.667137 + 1.24697i) q^{2} +(-1.72831 + 0.113815i) q^{3} +(-1.10986 + 1.66380i) q^{4} +(-0.627749 + 0.362431i) q^{5} +(-1.29494 - 2.07921i) q^{6} +(-2.64477 - 0.0721413i) q^{7} +(-2.81513 - 0.273973i) q^{8} +(2.97409 - 0.393415i) q^{9} +O(q^{10})\)	\(q+(0.667137 + 1.24697i) q^{2} +(-1.72831 + 0.113815i) q^{3} +(-1.10986 + 1.66380i) q^{4} +(-0.627749 + 0.362431i) q^{5} +(-1.29494 - 2.07921i) q^{6} +(-2.64477 - 0.0721413i) q^{7} +(-2.81513 - 0.273973i) q^{8} +(2.97409 - 0.393415i) q^{9} +(-0.870735 - 0.540991i) q^{10} +(-0.501838 - 0.289736i) q^{11} +(1.72881 - 3.00187i) q^{12} +(-3.35535 - 1.93721i) q^{13} +(-1.67447 - 3.34607i) q^{14} +(1.04369 - 0.697840i) q^{15} +(-1.53644 - 3.69315i) q^{16} +(-3.20279 + 1.84913i) q^{17} +(2.47470 + 3.44613i) q^{18} +(-2.04363 + 3.53967i) q^{19} +(0.0936991 - 1.44669i) q^{20} +(4.57918 - 0.176332i) q^{21} +(0.0264969 - 0.819070i) q^{22} +(4.47089 - 2.58127i) q^{23} +(4.89659 + 0.153105i) q^{24} +(-2.23729 + 3.87510i) q^{25} +(0.177162 - 5.47641i) q^{26} +(-5.09537 + 1.01844i) q^{27} +(3.05534 - 4.32029i) q^{28} +(4.56967 + 7.91490i) q^{29} +(1.56647 + 0.835897i) q^{30} -0.848671 q^{31} +(3.58022 - 4.37973i) q^{32} +(0.900307 + 0.443637i) q^{33} +(-4.44251 - 2.76015i) q^{34} +(1.68640 - 0.913260i) q^{35} +(-2.64625 + 5.38492i) q^{36} +(-1.73892 + 3.01190i) q^{37} +(-5.77724 - 0.186894i) q^{38} +(6.01957 + 2.96621i) q^{39} +(1.86649 - 0.848304i) q^{40} +(-0.854749 - 0.493490i) q^{41} +(3.27482 + 5.59245i) q^{42} +(-10.9509 + 6.32252i) q^{43} +(1.03903 - 0.513391i) q^{44} +(-1.72440 + 1.32487i) q^{45} +(6.20145 + 3.85299i) q^{46} +11.5806 q^{47} +(3.07578 + 6.20803i) q^{48} +(6.98959 + 0.381594i) q^{49} +(-6.32470 - 0.204604i) q^{50} +(5.32495 - 3.56039i) q^{51} +(6.94709 - 3.43260i) q^{52} +(-2.70941 - 4.69284i) q^{53} +(-4.66927 - 5.67432i) q^{54} +0.420038 q^{55} +(7.42559 + 0.927681i) q^{56} +(3.12915 - 6.35024i) q^{57} +(-6.82102 + 10.9786i) q^{58} -0.387839 q^{59} +(0.00271478 + 2.51100i) q^{60} -0.891401i q^{61} +(-0.566180 - 1.05827i) q^{62} +(-7.89416 + 0.825936i) q^{63} +(7.84988 + 1.54254i) q^{64} +2.80843 q^{65} +(0.0474277 + 1.41862i) q^{66} -3.15867i q^{67} +(0.478055 - 7.38106i) q^{68} +(-7.43328 + 4.97008i) q^{69} +(2.26386 + 1.49361i) q^{70} +7.56506i q^{71} +(-8.48023 + 0.292693i) q^{72} +(-10.1955 + 5.88637i) q^{73} +(-4.91584 - 0.159027i) q^{74} +(3.42568 - 6.95199i) q^{75} +(-3.62116 - 7.32871i) q^{76} +(1.30634 + 0.802489i) q^{77} +(0.317108 + 9.48508i) q^{78} -3.39987i q^{79} +(2.30301 + 1.76152i) q^{80} +(8.69045 - 2.34010i) q^{81} +(0.0451305 - 1.39507i) q^{82} +(-3.46587 - 6.00306i) q^{83} +(-4.78885 + 7.81453i) q^{84} +(1.34037 - 2.32158i) q^{85} +(-15.1897 - 9.43746i) q^{86} +(-8.79863 - 13.1593i) q^{87} +(1.33336 + 0.953134i) q^{88} +(-2.37662 - 1.37214i) q^{89} +(-2.80248 - 1.26640i) q^{90} +(8.73438 + 5.36554i) q^{91} +(-0.667333 + 10.3035i) q^{92} +(1.46676 - 0.0965916i) q^{93} +(7.72586 + 14.4406i) q^{94} -2.96270i q^{95} +(-5.68924 + 7.97700i) q^{96} +(9.32750 - 5.38523i) q^{97} +(4.18718 + 8.97037i) q^{98} +(-1.60650 - 0.664272i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9}+O(q^{10}) \) 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9	\( 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9} - 18 q^{10} - 6 q^{12} + 18 q^{13} + 14 q^{14} + 14 q^{16} + 6 q^{17} - 10 q^{18} - 24 q^{20} + 4 q^{21} + 6 q^{22} - 6 q^{24} + 16 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 11 q^{30} - 18 q^{32} - 18 q^{33} - 24 q^{34} - 38 q^{36} + 2 q^{37} + 33 q^{38} + 6 q^{40} + 6 q^{41} - 38 q^{42} - 13 q^{44} - 54 q^{45} + 10 q^{46} + 9 q^{48} - 28 q^{49} - 17 q^{50} - 27 q^{52} - 2 q^{53} - 39 q^{54} + 58 q^{56} + 6 q^{57} - 13 q^{58} - 31 q^{60} - 8 q^{64} - 100 q^{65} + 30 q^{66} - 18 q^{68} - 18 q^{69} - 19 q^{70} + 26 q^{72} + 30 q^{73} - 23 q^{74} - 2 q^{77} + 15 q^{78} + 3 q^{80} - 32 q^{81} - 18 q^{82} + 23 q^{84} - 50 q^{85} - 9 q^{86} + q^{88} - 102 q^{89} - 39 q^{90} + 28 q^{92} - 36 q^{93} + 63 q^{96} + 6 q^{97} + 21 q^{98}+O(q^{100}) \) 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9 - 18 * q^10 - 6 * q^12 + 18 * q^13 + 14 * q^14 + 14 * q^16 + 6 * q^17 - 10 * q^18 - 24 * q^20 + 4 * q^21 + 6 * q^22 - 6 * q^24 + 16 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 11 * q^30 - 18 * q^32 - 18 * q^33 - 24 * q^34 - 38 * q^36 + 2 * q^37 + 33 * q^38 + 6 * q^40 + 6 * q^41 - 38 * q^42 - 13 * q^44 - 54 * q^45 + 10 * q^46 + 9 * q^48 - 28 * q^49 - 17 * q^50 - 27 * q^52 - 2 * q^53 - 39 * q^54 + 58 * q^56 + 6 * q^57 - 13 * q^58 - 31 * q^60 - 8 * q^64 - 100 * q^65 + 30 * q^66 - 18 * q^68 - 18 * q^69 - 19 * q^70 + 26 * q^72 + 30 * q^73 - 23 * q^74 - 2 * q^77 + 15 * q^78 + 3 * q^80 - 32 * q^81 - 18 * q^82 + 23 * q^84 - 50 * q^85 - 9 * q^86 + q^88 - 102 * q^89 - 39 * q^90 + 28 * q^92 - 36 * q^93 + 63 * q^96 + 6 * q^97 + 21 * q^98

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