LMFDB - Embedded newform 252.2.n.b.31.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(31,252)]

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, 1]))

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

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

chi := DirichletCharacter("252.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.n (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			31.18
Character	$\chi$	$=$	252.31
Dual form			252.2.n.b.187.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.290988 - 1.38395i) q^{2} +(-1.20973 - 1.23958i) q^{3} +(-1.83065 + 0.805427i) q^{4} +2.88398i q^{5} +(-1.36351 + 2.03491i) q^{6} +(2.24777 + 1.39554i) q^{7} +(1.64737 + 2.29917i) q^{8} +(-0.0731219 + 2.99911i) q^{9} +O(q^{10})$	\(q+(-0.290988 - 1.38395i) q^{2} +(-1.20973 - 1.23958i) q^{3} +(-1.83065 + 0.805427i) q^{4} +2.88398i q^{5} +(-1.36351 + 2.03491i) q^{6} +(2.24777 + 1.39554i) q^{7} +(1.64737 + 2.29917i) q^{8} +(-0.0731219 + 2.99911i) q^{9} +(3.99129 - 0.839202i) q^{10} +2.30073i q^{11} +(3.21298 + 1.29490i) q^{12} +(-4.22314 - 2.43823i) q^{13} +(1.27729 - 3.51689i) q^{14} +(3.57492 - 3.48882i) q^{15} +(2.70257 - 2.94891i) q^{16} +(3.54408 + 2.04617i) q^{17} +(4.17190 - 0.771507i) q^{18} +(-0.308511 - 0.534357i) q^{19} +(-2.32283 - 5.27956i) q^{20} +(-0.989299 - 4.47452i) q^{21} +(3.18411 - 0.669485i) q^{22} +8.41949i q^{23} +(0.857136 - 4.82341i) q^{24} -3.31732 q^{25} +(-2.14552 + 6.55413i) q^{26} +(3.80610 - 3.53746i) q^{27} +(-5.23889 - 0.744338i) q^{28} +(-0.811434 - 1.40545i) q^{29} +(-5.86863 - 3.93232i) q^{30} +(-0.821847 - 1.42348i) q^{31} +(-4.86757 - 2.88214i) q^{32} +(2.85195 - 2.78326i) q^{33} +(1.80053 - 5.50025i) q^{34} +(-4.02471 + 6.48251i) q^{35} +(-2.28170 - 5.54922i) q^{36} +(4.02614 + 6.97347i) q^{37} +(-0.649752 + 0.582456i) q^{38} +(2.08646 + 8.18453i) q^{39} +(-6.63074 + 4.75098i) q^{40} +(0.216148 + 0.124793i) q^{41} +(-5.90465 + 2.67117i) q^{42} +(6.51826 - 3.76332i) q^{43} +(-1.85307 - 4.21184i) q^{44} +(-8.64936 - 0.210882i) q^{45} +(11.6522 - 2.44997i) q^{46} +(-1.47573 + 2.55604i) q^{47} +(-6.92479 + 0.217319i) q^{48} +(3.10493 + 6.27371i) q^{49} +(0.965299 + 4.59101i) q^{50} +(-1.75097 - 6.86849i) q^{51} +(9.69493 + 1.06212i) q^{52} +(-4.57041 + 7.91618i) q^{53} +(-6.00321 - 4.23810i) q^{54} -6.63526 q^{55} +(0.494324 + 7.46697i) q^{56} +(-0.289164 + 1.02885i) q^{57} +(-1.70895 + 1.53195i) q^{58} +(-0.762534 - 1.32075i) q^{59} +(-3.73445 + 9.26616i) q^{60} +(-8.38475 - 4.84094i) q^{61} +(-1.73088 + 1.55161i) q^{62} +(-4.34974 + 6.63926i) q^{63} +(-2.57234 + 7.57516i) q^{64} +(7.03181 - 12.1794i) q^{65} +(-4.68178 - 3.13706i) q^{66} +(7.07839 - 4.08671i) q^{67} +(-8.13602 - 0.891338i) q^{68} +(10.4366 - 10.1853i) q^{69} +(10.1426 + 3.68368i) q^{70} -11.6557i q^{71} +(-7.01591 + 4.77252i) q^{72} +(-4.66559 - 2.69368i) q^{73} +(8.47940 - 7.60118i) q^{74} +(4.01305 + 4.11208i) q^{75} +(0.995162 + 0.729738i) q^{76} +(-3.21077 + 5.17152i) q^{77} +(10.7199 - 5.26916i) q^{78} +(-2.05637 - 1.18725i) q^{79} +(8.50460 + 7.79416i) q^{80} +(-8.98931 - 0.438601i) q^{81} +(0.109811 - 0.335451i) q^{82} +(-3.53143 - 6.11661i) q^{83} +(5.41496 + 7.39447i) q^{84} +(-5.90112 + 10.2210i) q^{85} +(-7.10499 - 7.92589i) q^{86} +(-0.760549 + 2.70604i) q^{87} +(-5.28977 + 3.79016i) q^{88} +(12.0481 - 6.95597i) q^{89} +(2.22501 + 12.0317i) q^{90} +(-6.08999 - 11.3742i) q^{91} +(-6.78129 - 15.4132i) q^{92} +(-0.770309 + 2.74077i) q^{93} +(3.96686 + 1.29856i) q^{94} +(1.54107 - 0.889738i) q^{95} +(2.31579 + 9.52035i) q^{96} +(-10.3880 + 5.99749i) q^{97} +(7.77902 - 6.12265i) q^{98} +(-6.90015 - 0.168234i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	$ 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

Display 100 coefficients 10 coefficients

Character values

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

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

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 $

$2$	−0.290988	−	1.38395i	−0.205759	−	0.978603i
$2$	−0.290988	−	1.38395i	−0.205759	−	0.978603i
$3$	−1.20973	−	1.23958i	−0.698436	−	0.715672i
$3$	−1.20973	−	1.23958i	−0.698436	−	0.715672i
$4$	−1.83065	+	0.805427i	−0.915326	+	0.402713i
$5$			2.88398i			1.28975i	0.764287	+	0.644877i	$0.223091\pi$
$5$			2.88398i			1.28975i	−0.764287	+	0.644877i	$0.776909\pi$
$6$	−1.36351	+	2.03491i	−0.556649	+	0.830748i
$7$	2.24777	+	1.39554i	0.849577	+	0.527465i
$7$	2.24777	+	1.39554i	0.849577	+	0.527465i
$8$	1.64737	+	2.29917i	0.582433	+	0.812878i
$9$	−0.0731219	+	2.99911i	−0.0243740	+	0.999703i
$10$	3.99129	−	0.839202i	1.26216	−	0.265379i
$11$			2.30073i			0.693697i	0.937921	+	0.346849i	$0.112748\pi$
$11$			2.30073i			0.693697i	−0.937921	+	0.346849i	$0.887252\pi$
$12$	3.21298	+	1.29490i	0.927508	+	0.373804i
$13$	−4.22314	−	2.43823i	−1.17129	−	0.676244i	−0.217306	−	0.976104i	$-0.569727\pi$
$13$	−4.22314	−	2.43823i	−1.17129	−	0.676244i	−0.953983	+	0.299859i	$0.903060\pi$
$14$	1.27729	−	3.51689i	0.341370	−	0.939929i
$15$	3.57492	−	3.48882i	0.923041	−	0.900810i
$16$	2.70257	−	2.94891i	0.675644	−	0.737228i
$17$	3.54408	+	2.04617i	0.859565	+	0.496270i	0.863867	−	0.503720i	$-0.168036\pi$
$17$	3.54408	+	2.04617i	0.859565	+	0.496270i	−0.00430136	+	0.999991i	$0.501369\pi$
$18$	4.17190	−	0.771507i	0.983327	−	0.181846i
$19$	−0.308511	−	0.534357i	−0.0707773	−	0.122590i	0.828465	−	0.560041i	$-0.189215\pi$
$19$	−0.308511	−	0.534357i	−0.0707773	−	0.122590i	−0.899242	+	0.437451i	$0.855881\pi$
$20$	−2.32283	−	5.27956i	−0.519401	−	1.18054i
$21$	−0.989299	−	4.47452i	−0.215883	−	0.976419i
$22$	3.18411	−	0.669485i	0.678854	−	0.142735i
$23$			8.41949i			1.75559i	0.479041	+	0.877793i	$0.340985\pi$
$23$			8.41949i			1.75559i	−0.479041	+	0.877793i	$0.659015\pi$
$24$	0.857136	−	4.82341i	0.174962	−	0.984575i
$25$	−3.31732			−0.663464
$26$	−2.14552	+	6.55413i	−0.420771	+	1.28537i
$27$	3.80610	−	3.53746i	0.732483	−	0.680785i
$28$	−5.23889	−	0.744338i	−0.990057	−	0.140667i
$29$	−0.811434	−	1.40545i	−0.150680	−	0.260985i	0.780798	−	0.624784i	$-0.214813\pi$
$29$	−0.811434	−	1.40545i	−0.150680	−	0.260985i	−0.931477	+	0.363799i	$0.881479\pi$
$30$	−5.86863	−	3.93232i	−1.07146	−	0.717940i
$31$	−0.821847	−	1.42348i	−0.147608	−	0.255665i	0.782735	−	0.622355i	$-0.213824\pi$
$31$	−0.821847	−	1.42348i	−0.147608	−	0.255665i	−0.930343	+	0.366691i	$0.880491\pi$
$32$	−4.86757	−	2.88214i	−0.860474	−	0.509495i
$33$	2.85195	−	2.78326i	0.496460	−	0.484503i
$34$	1.80053	−	5.50025i	0.308788	−	0.943285i
$35$	−4.02471	+	6.48251i	−0.680300	+	1.09574i
$36$	−2.28170	−	5.54922i	−0.380284	−	0.924870i
$37$	4.02614	+	6.97347i	0.661893	+	1.14643i	0.980118	+	0.198416i	$0.0635799\pi$
$37$	4.02614	+	6.97347i	0.661893	+	1.14643i	−0.318225	+	0.948015i	$0.603087\pi$
$38$	−0.649752	+	0.582456i	−0.105404	+	0.0944868i
$39$	2.08646	+	8.18453i	0.334102	+	1.31057i
$40$	−6.63074	+	4.75098i	−1.04841	+	0.751195i
$41$	0.216148	+	0.124793i	0.0337566	+	0.0194894i	0.516783	−	0.856116i	$-0.327129\pi$
$41$	0.216148	+	0.124793i	0.0337566	+	0.0194894i	−0.483027	+	0.875606i	$0.660463\pi$
$42$	−5.90465	+	2.67117i	−0.911107	+	0.412171i
$43$	6.51826	−	3.76332i	0.994026	−	0.573901i	0.0875504	−	0.996160i	$-0.472096\pi$
$43$	6.51826	−	3.76332i	0.994026	−	0.573901i	0.906475	+	0.422259i	$0.138763\pi$
$44$	−1.85307	−	4.21184i	−0.279361	−	0.634959i
$45$	−8.64936	−	0.210882i	−1.28937	−	0.0314364i
$46$	11.6522	−	2.44997i	1.71802	−	0.361228i
$47$	−1.47573	+	2.55604i	−0.215257	+	0.372836i	−0.953352	−	0.301860i	$-0.902392\pi$
$47$	−1.47573	+	2.55604i	−0.215257	+	0.372836i	0.738095	+	0.674697i	$0.235726\pi$
$48$	−6.92479	+	0.217319i	−0.999508	+	0.0313673i
$49$	3.10493	+	6.27371i	0.443561	+	0.896244i
$50$	0.965299	+	4.59101i	0.136514	+	0.649267i
$51$	−1.75097	−	6.86849i	−0.245185	−	0.961780i
$52$	9.69493	+	1.06212i	1.34444	+	0.147290i
$53$	−4.57041	+	7.91618i	−0.627794	+	1.08737i	0.360199	+	0.932875i	$0.382709\pi$
$53$	−4.57041	+	7.91618i	−0.627794	+	1.08737i	−0.987993	+	0.154496i	$0.950625\pi$
$54$	−6.00321	−	4.23810i	−0.816933	−	0.576732i
$55$	−6.63526			−0.894698
$56$	0.494324	+	7.46697i	0.0660568	+	0.997816i
$57$	−0.289164	+	1.02885i	−0.0383008	+	0.136275i
$58$	−1.70895	+	1.53195i	−0.224396	+	0.201155i
$59$	−0.762534	−	1.32075i	−0.0992735	−	0.171947i	0.812111	−	0.583503i	$-0.198319\pi$
$59$	−0.762534	−	1.32075i	−0.0992735	−	0.171947i	−0.911384	+	0.411557i	$0.864985\pi$
$60$	−3.73445	+	9.26616i	−0.482115	+	1.19626i
$61$	−8.38475	−	4.84094i	−1.07356	−	0.619818i	−0.144406	−	0.989519i	$-0.546127\pi$
$61$	−8.38475	−	4.84094i	−1.07356	−	0.619818i	−0.929151	+	0.369700i	$0.879460\pi$
$62$	−1.73088	+	1.55161i	−0.219822	+	0.197055i
$63$	−4.34974	+	6.63926i	−0.548016	+	0.836468i
$64$	−2.57234	+	7.57516i	−0.321543	+	0.946895i
$65$	7.03181	−	12.1794i	0.872188	−	1.51067i
$66$	−4.68178	−	3.13706i	−0.576288	−	0.386146i
$67$	7.07839	−	4.08671i	0.864763	−	0.499271i	−0.000841386	−	1.00000i	$-0.500268\pi$
$67$	7.07839	−	4.08671i	0.864763	−	0.499271i	0.865604	+	0.500728i	$0.166934\pi$
$68$	−8.13602	−	0.891338i	−0.986637	−	0.108091i
$69$	10.4366	−	10.1853i	1.25642	−	1.22616i
$70$	10.1426	+	3.68368i	1.21228	+	0.440284i
$71$		−	11.6557i		−	1.38328i	−0.722244	−	0.691638i	$-0.756889\pi$
$71$		−	11.6557i		−	1.38328i	0.722244	−	0.691638i	$-0.243111\pi$
$72$	−7.01591	+	4.77252i	−0.826833	+	0.562447i
$73$	−4.66559	−	2.69368i	−0.546066	−	0.315272i	0.201468	−	0.979495i	$-0.435429\pi$
$73$	−4.66559	−	2.69368i	−0.546066	−	0.315272i	−0.747534	+	0.664224i	$0.768762\pi$
$74$	8.47940	−	7.60118i	0.985710	−	0.883619i
$75$	4.01305	+	4.11208i	0.463387	+	0.474823i
$76$	0.995162	+	0.729738i	0.114153	+	0.0837067i
$77$	−3.21077	+	5.17152i	−0.365901	+	0.589349i
$78$	10.7199	−	5.26916i	1.21379	−	0.596615i
$79$	−2.05637	−	1.18725i	−0.231360	−	0.133576i	0.379839	−	0.925052i	$-0.375979\pi$
$79$	−2.05637	−	1.18725i	−0.231360	−	0.133576i	−0.611199	+	0.791477i	$0.709313\pi$
$80$	8.50460	+	7.79416i	0.950843	+	0.871414i
$81$	−8.98931	−	0.438601i	−0.998812	−	0.0487334i
$82$	0.109811	−	0.335451i	0.0121266	−	0.0370444i
$83$	−3.53143	−	6.11661i	−0.387624	−	0.671385i	0.604505	−	0.796601i	$-0.293371\pi$
$83$	−3.53143	−	6.11661i	−0.387624	−	0.671385i	−0.992129	+	0.125216i	$0.960038\pi$
$84$	5.41496	+	7.39447i	0.590820	+	0.806803i
$85$	−5.90112	+	10.2210i	−0.640066	+	1.10863i
$86$	−7.10499	−	7.92589i	−0.766151	−	0.854670i
$87$	−0.760549	+	2.70604i	−0.0815394	+	0.290118i
$88$	−5.28977	+	3.79016i	−0.563892	+	0.404033i
$89$	12.0481	−	6.95597i	1.27710	−	0.737332i	0.300783	−	0.953693i	$-0.402752\pi$
$89$	12.0481	−	6.95597i	1.27710	−	0.737332i	0.976313	+	0.216361i	$0.0694188\pi$
$90$	2.22501	+	12.0317i	0.234536	+	1.26825i
$91$	−6.08999	−	11.3742i	−0.638405	−	1.19234i
$92$	−6.78129	−	15.4132i	−0.706998	−	1.60693i
$93$	−0.770309	+	2.74077i	−0.0798773	+	0.284204i
$94$	3.96686	+	1.29856i	0.409150	+	0.133937i
$95$	1.54107	−	0.889738i	0.158111	−	0.0912852i
$96$	2.31579	+	9.52035i	0.236354	+	0.971667i
$97$	−10.3880	+	5.99749i	−1.05474	+	0.608953i	−0.923972	−	0.382460i	$-0.875077\pi$
$97$	−10.3880	+	5.99749i	−1.05474	+	0.608953i	−0.130766	+	0.991413i	$0.541744\pi$
$98$	7.77902	−	6.12265i	0.785800	−	0.618481i
$99$	−6.90015	−	0.168234i	−0.693491	−	0.0169082i
$100$	6.07286	−	2.67186i	0.607286	−	0.267186i
$101$			4.08359i			0.406333i	0.979144	+	0.203166i	$0.0651232\pi$
$101$			4.08359i			0.406333i	−0.979144	+	0.203166i	$0.934877\pi$
$102$	−8.99615	+	4.42190i	−0.890752	+	0.437834i
$103$	6.39089			0.629713			0.314856	−	0.949139i	$-0.398044\pi$
$103$	6.39089			0.629713			0.314856	+	0.949139i	$0.398044\pi$
$104$	−1.35118	−	13.7264i	−0.132494	−	1.34598i
$105$	12.9044	−	2.85311i	1.25934	−	0.278435i
$106$	12.2856	+	4.02172i	1.19328	+	0.390624i
$107$	−5.06327	+	2.92328i	−0.489485	+	0.282604i	−0.724361	−	0.689421i	$-0.757865\pi$
$107$	−5.06327	+	2.92328i	−0.489485	+	0.282604i	0.234876	+	0.972025i	$0.424532\pi$
$108$	−4.11847	+	9.54139i	−0.396300	+	0.918121i
$109$	7.02228	−	12.1629i	0.672612	−	1.16500i	−0.304549	−	0.952497i	$-0.598506\pi$
$109$	7.02228	−	12.1629i	0.672612	−	1.16500i	0.977161	−	0.212502i	$-0.0681611\pi$
$110$	1.93078	+	9.18289i	0.184093	+	0.875554i
$111$	3.77366	−	13.4267i	0.358180	−	1.27441i
$112$	10.1901	−	2.85692i	0.962873	−	0.269953i
$113$	3.90522	−	6.76404i	0.367372	−	0.636308i	−0.621781	−	0.783191i	$-0.713591\pi$
$113$	3.90522	−	6.76404i	0.367372	−	0.636308i	0.989154	+	0.146883i	$0.0469241\pi$
$114$	1.50802	+	0.100807i	0.141239	+	0.00944145i
$115$	−24.2816			−2.26427
$116$	2.61744	+	1.91933i	0.243023	+	0.178205i
$117$	7.62133	−	12.4874i	0.704592	−	1.15446i
$118$	−1.60597	+	1.43963i	−0.147841	+	0.132529i
$119$	5.11075	+	9.54524i	0.468501	+	0.875010i
$120$	13.9106	+	2.47196i	1.26986	+	0.225658i
$121$	5.70662			0.518784
$122$	−4.25977	+	13.0127i	−0.385661	+	1.17812i
$123$	−0.106789	−	0.418898i	−0.00962881	−	0.0377707i
$124$	2.65103	+	1.94396i	0.238069	+	0.174573i
$125$			4.85281i			0.434049i
$126$	10.4541	+	4.08790i	0.931329	+	0.364179i
$127$			14.7826i			1.31174i	0.754872	+	0.655872i	$0.227699\pi$
$127$			14.7826i			1.31174i	−0.754872	+	0.655872i	$0.772301\pi$
$128$	11.2322	+	1.35572i	0.992794	+	0.119830i
$129$	−12.5503	−	3.52732i	−1.10499	−	0.310564i
$130$	−18.9020	−	6.18762i	−1.65781	−	0.542690i
$131$	−9.15379			−0.799770			−0.399885	−	0.916565i	$-0.630950\pi$
$131$	−9.15379			−0.799770			−0.399885	+	0.916565i	$0.630950\pi$
$132$	−2.97921	+	7.39221i	−0.259307	+	0.643410i
$133$	0.0522558	−	1.63165i	0.00453115	−	0.141482i
$134$	−7.71554	−	8.60698i	−0.666521	−	0.743530i
$135$	10.2020	+	10.9767i	0.878045	+	0.944723i
$136$	1.13391	+	11.5192i	0.0972322	+	0.987767i
$137$	20.9553			1.79033			0.895164	−	0.445737i	$-0.147058\pi$
$137$	20.9553			1.79033			0.895164	+	0.445737i	$0.147058\pi$
$138$	−17.1329	−	11.4800i	−1.45845	−	0.977245i
$139$	3.12470	−	5.41214i	0.265033	−	0.459051i	−0.702539	−	0.711645i	$-0.747950\pi$
$139$	3.12470	−	5.41214i	0.265033	−	0.459051i	0.967572	+	0.252594i	$0.0812836\pi$
$140$	2.14665	−	15.1088i	0.181425	−	1.27693i
$141$	4.95365	−	1.26282i	0.417172	−	0.106349i
$142$	−16.1309	+	3.39167i	−1.35368	+	0.284622i
$143$	5.60973	−	9.71633i	0.469109	−	0.812521i
$144$	8.64649	+	8.32095i	0.720541	+	0.693412i
$145$	4.05327	−	2.34016i	0.336606	−	0.194339i
$146$	−2.37030	+	7.24079i	−0.196167	+	0.599252i
$147$	4.02066	−	11.4383i	0.331618	−	0.943414i
$148$	−12.9871	−	9.52324i	−1.06753	−	0.782806i
$149$	9.43320			0.772798			0.386399	−	0.922332i	$-0.373719\pi$
$149$	9.43320			0.772798			0.386399	+	0.922332i	$0.373719\pi$
$150$	4.52318	−	6.75044i	0.369316	−	0.551171i
$151$		−	1.73869i		−	0.141493i	−0.997494	−	0.0707465i	$-0.977462\pi$
$151$		−	1.73869i		−	0.141493i	0.997494	−	0.0707465i	$-0.0225381\pi$
$152$	0.720344	−	1.58960i	0.0584276	−	0.128934i
$153$	−6.39585	+	10.4795i	−0.517074	+	0.847214i
$154$	8.09143	+	2.93871i	0.652026	+	0.236808i
$155$	4.10528	−	2.37019i	0.329744	−	0.190378i
$156$	−10.4116	−	13.3025i	−0.833597	−	1.06505i
$157$	19.3676	−	11.1819i	1.54570	−	0.892411i	0.547239	−	0.836977i	$-0.315679\pi$
$157$	19.3676	−	11.1819i	1.54570	−	0.892411i	0.998462	−	0.0554341i	$-0.0176543\pi$
$158$	−1.04471	+	3.19139i	−0.0831130	+	0.253894i
$159$	15.3417	−	3.91102i	1.21668	−	0.310164i
$160$	8.31202	−	14.0380i	0.657123	−	1.10980i
$161$	−11.7498	+	18.9251i	−0.926010	+	1.49150i
$162$	2.00878	+	12.5684i	0.157824	+	0.987467i
$163$	−7.26243	+	4.19297i	−0.568838	+	0.328419i	−0.756685	−	0.653780i	$-0.773182\pi$
$163$	−7.26243	+	4.19297i	−0.568838	+	0.328419i	0.187847	+	0.982198i	$0.439849\pi$
$164$	−0.496203	−	0.0543613i	−0.0387469	−	0.00424490i
$165$	8.02685	+	8.22494i	0.624890	+	0.640311i
$166$	−7.43750	+	6.66719i	−0.577262	+	0.517474i
$167$	2.80662	−	4.86122i	0.217183	−	0.376172i	−0.736763	−	0.676152i	$-0.763646\pi$
$167$	2.80662	−	4.86122i	0.217183	−	0.376172i	0.953946	+	0.299979i	$0.0969798\pi$
$168$	8.65792	−	9.64575i	0.667973	−	0.744186i
$169$	5.38997	+	9.33570i	0.414613	+	0.718131i
$170$	15.8626	+	5.19267i	1.21661	+	0.398260i
$171$	1.62515	−	0.886185i	0.124279	−	0.0677683i
$172$	−8.90159	+	12.1393i	−0.678740	+	0.925614i
$173$	−9.80186	−	5.65911i	−0.745222	−	0.430254i	0.0787430	−	0.996895i	$-0.474909\pi$
$173$	−9.80186	−	5.65911i	−0.745222	−	0.430254i	−0.823965	+	0.566641i	$0.808243\pi$
$174$	3.96635	+	0.265139i	0.300688	+	0.0201001i
$175$	−7.45656	−	4.62946i	−0.563663	−	0.349954i
$176$	6.78466	+	6.21791i	0.511413	+	0.468692i
$177$	−0.714716	+	2.54297i	−0.0537214	+	0.191141i
$178$	−13.1326	−	14.6499i	−0.984329	−	1.09806i
$179$	−1.87423	−	1.08209i	−0.140087	−	0.0808792i	0.428319	−	0.903628i	$-0.359106\pi$
$179$	−1.87423	−	1.08209i	−0.140087	−	0.0808792i	−0.568405	+	0.822749i	$0.692439\pi$
$180$	16.0038	−	6.58037i	1.19285	−	0.490472i
$181$		−	1.77875i		−	0.132213i	−0.997813	−	0.0661066i	$-0.978942\pi$
$181$		−	1.77875i		−	0.132213i	0.997813	−	0.0661066i	$-0.0210577\pi$
$182$	−13.9692	+	11.7380i	−1.03547	+	0.870079i
$183$	4.14252	+	16.2498i	0.306224	+	1.20122i
$184$	−19.3578	+	13.8700i	−1.42708	+	1.02251i
$185$	−20.1113	+	11.6113i	−1.47861	+	0.853678i
$186$	4.01725	+	0.268542i	0.294559	+	0.0196904i
$187$	−4.70770	+	8.15398i	−0.344261	+	0.596278i
$188$	0.642845	−	5.86781i	0.0468843	−	0.427954i
$189$	13.4919	−	2.63983i	0.981391	−	0.192019i
$190$	−1.67979	−	1.87387i	−0.121865	−	0.135945i
$191$	4.42849	+	2.55679i	0.320435	+	0.185003i	0.651586	−	0.758575i	$-0.274104\pi$
$191$	4.42849	+	2.55679i	0.320435	+	0.185003i	−0.331152	+	0.943578i	$0.607437\pi$
$192$	12.5019	−	5.97525i	0.902244	−	0.431227i
$193$	−3.61302	−	6.25794i	−0.260071	−	0.450456i	0.706189	−	0.708023i	$-0.250413\pi$
$193$	−3.61302	−	6.25794i	−0.260071	−	0.450456i	−0.966261	+	0.257566i	$0.917079\pi$
$194$	11.3230	+	12.6313i	0.812946	+	0.906872i
$195$	−23.6040	+	6.01731i	−1.69032	+	0.430909i
$196$	−10.7371	−	8.98419i	−0.766932	−	0.641728i
$197$	−4.34716			−0.309722			−0.154861	−	0.987936i	$-0.549493\pi$
$197$	−4.34716			−0.309722			−0.154861	+	0.987936i	$0.549493\pi$
$198$	1.77503	+	9.59844i	0.126146	+	0.682131i
$199$	10.2773	−	17.8008i	0.728540	−	1.26187i	−0.228961	−	0.973436i	$-0.573533\pi$
$199$	10.2773	−	17.8008i	0.728540	−	1.26187i	0.957500	−	0.288432i	$-0.0931339\pi$
$200$	−5.46485	−	7.62707i	−0.386423	−	0.539315i
$201$	−13.6287	−	3.83043i	−0.961296	−	0.270178i
$202$	5.65150	−	1.18828i	0.397638	−	0.0836068i
$203$	0.137441	−	4.29151i	0.00964649	−	0.301205i
$204$	8.73748	+	11.1635i	0.611746	+	0.781603i
$205$	−0.359900	+	0.623365i	−0.0251365	+	0.0435377i
$206$	−1.85967	−	8.84469i	−0.129569	−	0.616238i
$207$	−25.2510	−	0.615649i	−1.75506	−	0.0427906i
$208$	−18.6035	+	5.86418i	−1.28992	+	0.406608i
$209$	1.22941	−	0.709802i	0.0850403	−	0.0490980i
$210$	−7.70360	−	17.0289i	−0.531599	−	1.17510i
$211$	4.36555	+	2.52045i	0.300537	+	0.173515i	0.642684	−	0.766131i	$-0.277821\pi$
$211$	4.36555	+	2.52045i	0.300537	+	0.173515i	−0.342147	+	0.939646i	$0.611154\pi$
$212$	1.99092	−	18.1729i	0.136737	−	1.24812i
$213$	−14.4482	+	14.1002i	−0.989973	+	0.966130i
$214$	5.51903	+	6.15669i	0.377273	+	0.420862i
$215$	10.8533	+	18.7985i	0.740191	+	1.28205i
$216$	14.4033	+	2.92334i	0.980018	+	0.198908i
$217$	0.139205	−	4.34658i	0.00944985	−	0.295065i
$218$	−18.8763	−	6.17923i	−1.27847	−	0.418511i
$219$	2.30506	+	9.04200i	0.155761	+	0.611002i
$220$	12.1469	−	5.34422i	0.818941	−	0.360307i
$221$	−9.97811	−	17.2826i	−0.671200	−	1.16255i
$222$	−19.6800	−	1.31555i	−1.32084	−	0.0882943i
$223$	12.5132	+	21.6734i	0.837943	+	1.45136i	0.891611	+	0.452801i	$0.149575\pi$
$223$	12.5132	+	21.6734i	0.837943	+	1.45136i	−0.0536683	+	0.998559i	$0.517091\pi$
$224$	−6.91903	−	13.2713i	−0.462297	−	0.886725i
$225$	0.242569	−	9.94900i	0.0161712	−	0.663267i
$226$	−10.4975	−	3.43639i	−0.698283	−	0.228585i
$227$	−11.1012			−0.736810			−0.368405	−	0.929665i	$-0.620096\pi$
$227$	−11.1012			−0.736810			−0.368405	+	0.929665i	$0.620096\pi$
$228$	−0.299304	−	2.11637i	−0.0198219	−	0.140160i
$229$			24.7571i			1.63599i	0.575224	+	0.817996i	$0.304915\pi$
$229$			24.7571i			1.63599i	−0.575224	+	0.817996i	$0.695085\pi$
$230$	7.06565	+	33.6046i	0.465895	+	2.21582i
$231$	10.2947	−	2.27611i	0.677339	−	0.149757i
$232$	1.89462	−	4.18091i	0.124388	−	0.274490i
$233$	−9.46392	−	16.3920i	−0.620002	−	1.07387i	−0.989485	−	0.144637i	$-0.953799\pi$
$233$	−9.46392	−	16.3920i	−0.620002	−	1.07387i	0.369483	−	0.929238i	$-0.379535\pi$
$234$	−19.4997	−	6.91389i	−1.27473	−	0.451975i
$235$	−7.37155	−	4.25597i	−0.480867	−	0.277629i
$236$	2.45970	+	1.80367i	0.160113	+	0.117409i
$237$	1.01596	+	3.98528i	0.0659936	+	0.258872i
$238$	11.7230	−	9.85058i	0.759889	−	0.638518i
$239$	−4.90588	−	2.83241i	−0.317335	−	0.183213i	0.332869	−	0.942973i	$-0.391983\pi$
$239$	−4.90588	−	2.83241i	−0.317335	−	0.183213i	−0.650204	+	0.759760i	$0.725317\pi$
$240$	−0.626743	−	19.9709i	−0.0404561	−	1.28912i
$241$		−	6.47555i		−	0.417127i	−0.978009	−	0.208563i	$-0.933121\pi$
$241$		−	6.47555i		−	0.417127i	0.978009	−	0.208563i	$-0.0668788\pi$
$242$	−1.66056	−	7.89770i	−0.106745	−	0.507683i
$243$	10.3309	+	11.6736i	0.662729	+	0.748859i
$244$	19.2486	+	2.10877i	1.23226	+	0.135000i
$245$	−18.0932	+	8.95453i	−1.15593	+	0.572084i
$246$	−0.548661	+	0.269685i	−0.0349813	+	0.0171945i
$247$			3.00889i			0.191451i
$248$	1.91893	−	4.23456i	0.121852	−	0.268895i
$249$	−3.30997	+	11.7769i	−0.209761	+	0.746332i
$250$	6.71607	−	1.41211i	0.424761	−	0.0893097i
$251$	22.7077			1.43330			0.716650	−	0.697433i	$-0.245675\pi$
$251$	22.7077			1.43330			0.716650	+	0.697433i	$0.245675\pi$
$252$	2.61543	−	15.6576i	0.164757	−	0.986334i
$253$	−19.3710			−1.21784
$254$	20.4584	−	4.30156i	1.28368	−	0.269904i
$255$	19.8085	−	5.04975i	1.24046	−	0.316228i
$256$	−1.39218	−	15.9393i	−0.0870111	−	0.996207i
$257$		−	9.24937i		−	0.576960i	−0.957486	−	0.288480i	$-0.906850\pi$
$257$		−	9.24937i		−	0.576960i	0.957486	−	0.288480i	$-0.0931499\pi$
$258$	−1.22968	+	18.3954i	−0.0765565	+	1.14525i
$259$	−0.681950	+	21.2934i	−0.0423743	+	1.32311i
$260$	−3.06314	+	27.9599i	−0.189968	+	1.73400i
$261$	4.27442	−	2.33081i	0.264580	−	0.144274i
$262$	2.66364	+	12.6684i	0.164560	+	0.782657i
$263$		−	17.1809i		−	1.05942i	−0.848179	−	0.529710i	$-0.822301\pi$
$263$		−	17.1809i		−	1.05942i	0.848179	−	0.529710i	$-0.177699\pi$
$264$	11.0974	+	1.97204i	0.682997	+	0.121371i
$265$	−22.8301	−	13.1810i	−1.40244	−	0.809699i
$266$	−2.27333	+	0.402471i	−0.139387	+	0.0246771i
$267$	−23.1974	−	6.51977i	−1.41966	−	0.399003i
$268$	−9.66652	+	13.1825i	−0.590477	+	0.805248i
$269$	6.56990	+	3.79313i	0.400574	+	0.231271i	0.686731	−	0.726911i	$-0.259045\pi$
$269$	6.56990	+	3.79313i	0.400574	+	0.231271i	−0.286158	+	0.958182i	$0.592378\pi$
$270$	12.2226	−	17.3131i	0.743842	−	1.05364i
$271$	−7.21584	−	12.4982i	−0.438331	−	0.759212i	0.559230	−	0.829013i	$-0.311097\pi$
$271$	−7.21584	−	12.4982i	−0.438331	−	0.759212i	−0.997561	+	0.0698007i	$0.977764\pi$
$272$	15.6121	−	4.92124i	0.946624	−	0.298394i
$273$	−6.73196	+	21.3087i	−0.407437	+	1.28966i
$274$	−6.09772	−	29.0011i	−0.368377	−	1.75202i
$275$		−	7.63227i		−	0.460243i
$276$	−10.9024	+	27.0517i	−0.656245	+	1.62832i
$277$	−7.47063			−0.448867			−0.224433	−	0.974489i	$-0.572053\pi$
$277$	−7.47063			−0.448867			−0.224433	+	0.974489i	$0.572053\pi$
$278$	−8.39939	−	2.74957i	−0.503762	−	0.164908i
$279$	4.32927	−	2.36072i	0.259186	−	0.141333i
$280$	−21.5346	+	1.42562i	−1.28694	+	0.0851969i
$281$	−1.25478	−	2.17335i	−0.0748540	−	0.129651i	0.826169	−	0.563423i	$-0.190516\pi$
$281$	−1.25478	−	2.17335i	−0.0748540	−	0.129651i	−0.901023	+	0.433772i	$0.857182\pi$
$282$	−3.18914	−	6.48815i	−0.189910	−	0.386364i
$283$	5.45325	+	9.44531i	0.324162	+	0.561465i	0.981342	−	0.192268i	$-0.0615843\pi$
$283$	5.45325	+	9.44531i	0.324162	+	0.561465i	−0.657180	+	0.753733i	$0.728251\pi$
$284$	9.38781	+	21.3375i	0.557064	+	1.26615i
$285$	−2.96718	−	0.833943i	−0.175761	−	0.0493985i
$286$	−15.0793	−	4.93626i	−0.891658	−	0.291887i
$287$	0.311696	+	0.582148i	0.0183988	+	0.0343631i
$288$	8.99977	−	14.3876i	0.530317	−	0.847800i
$289$	−0.126337	−	0.218822i	−0.00743160	−	0.0128719i
$290$	−4.41812	−	4.92858i	−0.259441	−	0.289416i
$291$	20.0010	+	5.62139i	1.17248	+	0.329532i
$292$	10.7106	+	1.17340i	0.626793	+	0.0686680i
$293$	−1.64025	−	0.947001i	−0.0958246	−	0.0553244i	0.451322	−	0.892361i	$-0.350953\pi$
$293$	−1.64025	−	0.947001i	−0.0958246	−	0.0553244i	−0.547147	+	0.837037i	$0.684286\pi$
$294$	−17.0000	−	2.23600i	−0.991461	−	0.130406i
$295$	3.80901	−	2.19913i	0.221769	−	0.128038i
$296$	−9.40064	+	20.7447i	−0.546401	+	1.20576i
$297$	8.13876	+	8.75681i	0.472259	+	0.508122i
$298$	−2.74495	−	13.0551i	−0.159010	−	0.756262i
$299$	20.5287	−	35.5567i	1.18720	−	2.05630i
$300$	−10.6585	−	4.29558i	−0.615368	−	0.248005i
$301$	19.9034	+	0.637434i	1.14721	+	0.0367411i
$302$	−2.40627	+	0.505939i	−0.138465	+	0.0291135i
$303$	5.06195	−	4.94003i	0.290801	−	0.283798i
$304$	−2.40955	−	0.534367i	−0.138197	−	0.0306480i
$305$	13.9611	−	24.1814i	0.799413	−	1.38462i
$306$	16.3642	+	5.80216i	0.935479	+	0.331688i
$307$	6.05907			0.345809			0.172905	−	0.984939i	$-0.444685\pi$
$307$	6.05907			0.345809			0.172905	+	0.984939i	$0.444685\pi$
$308$	1.71252	−	12.0533i	0.0975801	−	0.686800i
$309$	−7.73123	−	7.92202i	−0.439814	−	0.450668i
$310$	−4.47481	−	4.99182i	−0.254152	−	0.283517i
$311$	8.17065	+	14.1520i	0.463315	+	0.802485i	0.999124	−	0.0418540i	$-0.0133264\pi$
$311$	8.17065	+	14.1520i	0.463315	+	0.802485i	−0.535809	+	0.844340i	$0.679993\pi$
$312$	−15.3804	+	18.2801i	−0.870745	+	1.03491i
$313$	7.76756	+	4.48460i	0.439049	+	0.253485i	0.703194	−	0.710998i	$-0.251757\pi$
$313$	7.76756	+	4.48460i	0.439049	+	0.253485i	−0.264145	+	0.964483i	$0.585090\pi$
$314$	−21.1109	−	23.5500i	−1.19136	−	1.32900i
$315$	−19.1475	−	12.5446i	−1.07884	−	0.706806i
$316$	4.72074	+	0.517178i	0.265562	+	0.0290936i
$317$	−11.9737	+	20.7391i	−0.672511	+	1.16482i	0.304679	+	0.952455i	$0.401451\pi$
$317$	−11.9737	+	20.7391i	−0.672511	+	1.16482i	−0.977190	+	0.212367i	$0.931883\pi$
$318$	−9.87692	−	20.0941i	−0.553870	−	1.12682i
$319$	3.23356	−	1.86689i	0.181044	−	0.104526i
$320$	−21.8466	−	7.41857i	−1.22126	−	0.414711i
$321$	9.74881	+	2.73996i	0.544126	+	0.152930i
$322$	29.6104	+	10.7541i	1.65013	+	0.599305i
$323$		−	2.52507i		−	0.140499i
$324$	16.8096	−	6.43730i	0.933864	−	0.357628i
$325$	14.0095	+	8.08840i	0.777108	+	0.448664i
$326$	7.91615	+	8.83076i	0.438435	+	0.489091i
$327$	−23.5720	+	6.00915i	−1.30353	+	0.332307i
$328$	0.0691555	+	0.702540i	0.00381847	+	0.0387913i
$329$	−6.88416	+	3.68594i	−0.379536	+	0.203212i
$330$	9.04722	−	13.5021i	0.498033	−	0.743269i
$331$	1.77373	+	1.02407i	0.0974932	+	0.0562877i	0.547954	−	0.836509i	$-0.315407\pi$
$331$	1.77373	+	1.02407i	0.0974932	+	0.0562877i	−0.450461	+	0.892796i	$0.648740\pi$
$332$	11.3913	+	8.35308i	0.625178	+	0.458435i
$333$	−21.2086	+	11.5649i	−1.16222	+	0.633753i
$334$	−7.54439	−	2.46968i	−0.412810	−	0.135135i
$335$	11.7860	+	20.4139i	0.643937	+	1.11533i
$336$	−15.8686	−	9.17536i	−0.865704	−	0.500557i
$337$	−9.20885	+	15.9502i	−0.501638	+	0.868863i	0.498360	+	0.866970i	$0.333936\pi$
$337$	−9.20885	+	15.9502i	−0.501638	+	0.868863i	−0.999998	+	0.00189247i	$0.999398\pi$
$338$	11.3518	−	10.1760i	0.617454	−	0.553503i
$339$	−13.1088	+	3.34181i	−0.711974	+	0.181502i
$340$	2.57060	−	23.4641i	0.139410	−	1.27252i
$341$	3.27505	−	1.89085i	0.177354	−	0.102395i
$342$	−1.69934	−	1.99127i	−0.0918897	−	0.107675i
$343$	−1.77607	+	18.4349i	−0.0958987	+	0.995391i
$344$	19.3905	+	8.78699i	1.04547	+	0.473763i
$345$	29.3741	+	30.0990i	1.58145	+	1.62048i
$346$	−4.97972	+	15.2121i	−0.267711	+	0.817805i
$347$	3.05104	−	1.76152i	0.163789	−	0.0945634i	−0.415865	−	0.909426i	$-0.636521\pi$
$347$	3.05104	−	1.76152i	0.163789	−	0.0945634i	0.579654	+	0.814863i	$0.303188\pi$
$348$	−0.787218	−	5.56639i	−0.0421993	−	0.298390i
$349$	28.0774	−	16.2105i	1.50295	−	0.867727i	0.502953	−	0.864314i	$-0.332247\pi$
$349$	28.0774	−	16.2105i	1.50295	−	0.867727i	0.999994	−	0.00341285i	$-0.00108635\pi$
$350$	−4.23718	+	11.6666i	−0.226487	+	0.623609i
$351$	−24.6989	+	5.65906i	−1.31833	+	0.302058i
$352$	6.63104	−	11.1990i	0.353435	−	0.596908i
$353$			10.2823i			0.547270i	0.961834	+	0.273635i	$0.0882261\pi$
$353$			10.2823i			0.547270i	−0.961834	+	0.273635i	$0.911774\pi$
$354$	3.72732	+	0.249161i	0.198105	+	0.0132428i
$355$	33.6147			1.78409
$356$	−16.4534	+	22.4378i	−0.872026	+	1.18920i
$357$	5.64949	−	17.8823i	0.299003	−	0.946432i
$358$	−0.952182	+	2.90873i	−0.0503244	+	0.153731i
$359$	−28.6039	+	16.5145i	−1.50966	+	0.871600i	−0.509720	+	0.860341i	$0.670251\pi$
$359$	−28.6039	+	16.5145i	−1.50966	+	0.871600i	−0.999937	+	0.0112597i	$0.996416\pi$
$360$	−13.7638	−	20.2337i	−0.725418	−	1.06641i
$361$	9.30964	−	16.1248i	0.489981	−	0.848672i
$362$	−2.46170	+	0.517594i	−0.129384	+	0.0272041i
$363$	−6.90346	−	7.07382i	−0.362337	−	0.371279i
$364$	20.3097	+	15.9171i	1.06452	+	0.834282i
$365$	7.76851	−	13.4555i	0.406623	−	0.704291i
$366$	21.2835	−	10.4615i	1.11251	−	0.546834i
$367$	32.2874			1.68539			0.842694	−	0.538393i	$-0.180968\pi$
$367$	32.2874			1.68539			0.842694	+	0.538393i	$0.180968\pi$
$368$	24.8283	+	22.7543i	1.29427	+	1.18615i
$369$	−0.390073	+	0.639125i	−0.0203064	+	0.0332715i
$370$	21.9216	+	24.4544i	1.13965	+	1.27132i
$371$	−21.3206	+	11.4155i	−1.10691	+	0.592666i
$372$	−0.797320	−	5.63782i	−0.0413391	−	0.292307i
$373$	18.9378			0.980562			0.490281	−	0.871564i	$-0.336894\pi$
$373$	18.9378			0.980562			0.490281	+	0.871564i	$0.336894\pi$
$374$	12.6546	+	4.14253i	0.654354	+	0.214205i
$375$	6.01546	−	5.87058i	0.310637	−	0.303155i
$376$	−8.30783	+	0.817793i	−0.428444	+	0.0421745i
$377$			7.91386i			0.407585i
$378$	−7.57938	−	17.9040i	−0.389841	−	0.920882i
$379$		−	13.4461i		−	0.690679i	−0.938478	−	0.345340i	$-0.887764\pi$
$379$		−	13.4461i		−	0.690679i	0.938478	−	0.345340i	$-0.112236\pi$
$380$	−2.10455	+	2.87002i	−0.107961	+	0.147229i
$381$	18.3242	−	17.8829i	0.938780	−	0.916170i
$382$	2.24984	−	6.87282i	0.115112	−	0.351644i
$383$	−1.26005			−0.0643853			−0.0321927	−	0.999482i	$-0.510249\pi$
$383$	−1.26005			−0.0643853			−0.0321927	+	0.999482i	$0.510249\pi$
$384$	−11.9074	−	15.5633i	−0.607645	−	0.794209i
$385$	−14.9145	−	9.25978i	−0.760115	−	0.471922i
$386$	−7.60935	+	6.82124i	−0.387306	+	0.347192i
$387$	10.8100	+	19.8242i	0.549502	+	1.00772i
$388$	14.1862	−	19.3461i	0.720196	−	0.982148i
$389$	7.89072			0.400075			0.200038	−	0.979788i	$-0.435894\pi$
$389$	7.89072			0.400075			0.200038	+	0.979788i	$0.435894\pi$
$390$	15.1961	+	30.9158i	0.769487	+	1.56548i
$391$	−17.2278	+	29.8393i	−0.871245	+	1.50904i
$392$	−9.30934	+	17.4739i	−0.470193	+	0.882564i
$393$	11.0736	+	11.3469i	0.558588	+	0.572373i
$394$	1.26497	+	6.01627i	0.0637283	+	0.303095i
$395$	3.42399	−	5.93052i	0.172280	−	0.298397i
$396$	12.7673	−	5.24959i	0.641580	−	0.263802i
$397$	0.706070	−	0.407650i	0.0354366	−	0.0204593i	−0.482177	−	0.876074i	$-0.660154\pi$
$397$	0.706070	−	0.407650i	0.0354366	−	0.0204593i	0.517614	+	0.855614i	$0.326820\pi$
$398$	−27.6261	−	9.04350i	−1.38477	−	0.453310i
$399$	−2.08578	+	1.90908i	−0.104419	+	0.0955733i
$400$	−8.96530	+	9.78248i	−0.448265	+	0.489124i
$401$	9.69896			0.484343			0.242171	−	0.970233i	$-0.422140\pi$
$401$	9.69896			0.484343			0.242171	+	0.970233i	$0.422140\pi$
$402$	−1.33535	+	19.9761i	−0.0666011	+	0.996319i
$403$			8.01542i			0.399276i
$404$	−3.28904	−	7.47564i	−0.163636	−	0.371927i
$405$	1.26491	−	25.9249i	0.0628541	−	1.28822i
$406$	−5.97924	+	1.05856i	−0.296744	+	0.0525356i
$407$	−16.0441	+	9.26307i	−0.795277	+	0.459153i
$408$	12.9073	−	15.3407i	0.639007	−	0.759478i
$409$	−7.14429	+	4.12476i	−0.353262	+	0.203956i	−0.666121	−	0.745844i	$-0.732047\pi$
$409$	−7.14429	+	4.12476i	−0.353262	+	0.203956i	0.312859	+	0.949800i	$0.398713\pi$
$410$	0.967434	+	0.316693i	0.0477781	+	0.0156403i
$411$	−25.3501	−	25.9757i	−1.25043	−	1.28129i
$412$	−11.6995	+	5.14739i	−0.576392	+	0.253594i
$413$	0.129159	−	4.03289i	0.00635548	−	0.198445i
$414$	6.49569	+	35.1253i	0.319246	+	1.72631i
$415$	17.6402	−	10.1845i	0.865921	−	0.499940i
$416$	13.5291	+	24.0400i	0.663321	+	1.17866i
$417$	−10.4888	+	2.67389i	−0.513639	+	0.130941i
$418$	−1.34008	−	1.49491i	−0.0655453	−	0.0731182i
$419$	3.43548	−	5.95043i	0.167834	−	0.290698i	−0.769824	−	0.638256i	$-0.779656\pi$
$419$	3.43548	−	5.95043i	0.167834	−	0.290698i	0.937658	+	0.347559i	$0.112989\pi$
$420$	−21.3255	+	15.6166i	−1.04058	+	0.762012i
$421$	12.0431	+	20.8593i	0.586947	+	1.01662i	0.994630	+	0.103498i	$0.0330036\pi$
$421$	12.0431	+	20.8593i	0.586947	+	1.01662i	−0.407683	+	0.913124i	$0.633663\pi$
$422$	2.21786	−	6.77513i	0.107964	−	0.329808i
$423$	−7.55793	−	4.61277i	−0.367479	−	0.224281i
$424$	−25.7298	+	2.53275i	−1.24955	+	0.123001i
$425$	−11.7568	−	6.78781i	−0.570290	−	0.329257i
$426$	23.7183	+	15.8926i	1.14915	+	0.770000i
$427$	−12.0912	−	22.5826i	−0.585136	−	1.09285i
$428$	6.91459	−	9.42960i	0.334230	−	0.455797i
$429$	−18.8304	+	4.80040i	−0.909141	+	0.231765i
$430$	22.8581	−	20.4906i	1.10231	−	0.988146i
$431$	−30.1452	−	17.4043i	−1.45204	−	0.838337i	−0.453445	−	0.891284i	$-0.649805\pi$
$431$	−30.1452	−	17.4043i	−1.45204	−	0.838337i	−0.998597	+	0.0529473i	$0.983138\pi$
$432$	−0.145409	−	20.7841i	−0.00699600	−	0.999976i
$433$		−	17.6046i		−	0.846022i	−0.906125	−	0.423011i	$-0.860973\pi$
$433$		−	17.6046i		−	0.846022i	0.906125	−	0.423011i	$-0.139027\pi$
$434$	−6.05596	+	1.07215i	−0.290696	+	0.0514647i
$435$	−7.80416	−	2.19341i	−0.374181	−	0.105166i
$436$	−3.05899	+	27.9220i	−0.146499	+	1.33722i
$437$	4.49901	−	2.59751i	0.215217	−	0.124256i
$438$	11.8430	−	5.82120i	0.565879	−	0.278148i
$439$	−1.73743	+	3.00931i	−0.0829228	+	0.143626i	−0.904504	−	0.426465i	$-0.859759\pi$
$439$	−1.73743	+	3.00931i	−0.0829228	+	0.143626i	0.821581	+	0.570091i	$0.193092\pi$
$440$	−10.9307	−	15.2556i	−0.521102	−	0.727281i
$441$	−19.0426	+	8.85327i	−0.906789	+	0.421584i
$442$	−21.0148	+	18.8383i	−0.999571	+	0.896044i
$443$	−11.6348	−	6.71735i	−0.552786	−	0.319151i	0.197459	−	0.980311i	$-0.436731\pi$
$443$	−11.6348	−	6.71735i	−0.552786	−	0.319151i	−0.750245	+	0.661160i	$0.770064\pi$
$444$	3.90598	+	27.6191i	0.185370	+	1.31074i
$445$	20.0609	+	34.7464i	0.950976	+	1.64714i
$446$	26.3538	−	23.6243i	1.24789	−	1.11864i
$447$	−11.4116	−	11.6932i	−0.539750	−	0.553070i
$448$	−16.3535	+	13.4374i	−0.772629	+	0.634857i
$449$	13.7666			0.649687			0.324843	−	0.945768i	$-0.394688\pi$
$449$	13.7666			0.649687			0.324843	+	0.945768i	$0.394688\pi$
$450$	−13.8395	+	2.55933i	−0.652402	+	0.120648i
$451$	−0.287115	+	0.497298i	−0.0135197	+	0.0234169i
$452$	−1.70116	+	15.5280i	−0.0800159	+	0.730375i
$453$	−2.15525	+	2.10335i	−0.101263	+	0.0988238i
$454$	3.23030	+	15.3635i	0.151606	+	0.721044i
$455$	32.8028	−	17.5634i	1.53782	−	0.823385i
$456$	−2.84186	+	1.03006i	−0.133082	+	0.0482370i
$457$	13.2983	−	23.0333i	0.622068	−	1.07745i	−0.367033	−	0.930208i	$-0.619626\pi$
$457$	13.2983	−	23.0333i	0.622068	−	1.07745i	0.989100	−	0.147244i	$-0.0470404\pi$
$458$	34.2626	−	7.20400i	1.60099	−	0.336621i
$459$	20.7274	−	4.74911i	0.967471	−	0.221669i
$460$	44.4512	−	19.5571i	2.07255	−	0.911853i
$461$	−22.4719	+	12.9742i	−1.04662	+	0.604268i	−0.921702	−	0.387899i	$-0.873201\pi$
$461$	−22.4719	+	12.9742i	−1.04662	+	0.604268i	−0.124921	+	0.992167i	$0.539868\pi$
$462$	−6.14566	−	13.5850i	−0.285922	−	0.632032i
$463$	8.26087	+	4.76941i	0.383915	+	0.221653i	0.679520	−	0.733657i	$-0.262188\pi$
$463$	8.26087	+	4.76941i	0.383915	+	0.221653i	−0.295605	+	0.955310i	$0.595521\pi$
$464$	−6.33750	−	1.40547i	−0.294211	−	0.0652474i
$465$	−7.90431	−	2.22155i	−0.366554	−	0.103022i
$466$	−19.9319	+	17.8675i	−0.923325	+	0.827695i
$467$	3.31730	+	5.74573i	0.153506	+	0.265880i	0.932514	−	0.361134i	$-0.117610\pi$
$467$	3.31730	+	5.74573i	0.153506	+	0.265880i	−0.779008	+	0.627014i	$0.784277\pi$
$468$	−3.89434	+	28.9985i	−0.180016	+	1.34046i
$469$	21.6138	+	0.692210i	0.998031	+	0.0319633i
$470$	−3.74503	+	11.4403i	−0.172745	+	0.527703i
$471$	−37.2903	−	10.4807i	−1.71825	−	0.482924i
$472$	1.78044	−	3.92896i	0.0819516	−	0.180845i
$473$	8.65840	+	14.9968i	0.398114	+	0.689553i
$474$	5.21981	−	2.56571i	0.239754	−	0.117847i
$475$	1.02343	+	1.77263i	0.0469582	+	0.0813339i
$476$	−17.0440	−	13.3577i	−0.781210	−	0.612248i
$477$	−23.4073	−	14.2860i	−1.07175	−	0.654111i
$478$	−2.49237	+	7.61370i	−0.113998	+	0.348242i
$479$	−27.9090			−1.27520			−0.637598	−	0.770369i	$-0.720072\pi$
$479$	−27.9090			−1.27520			−0.637598	+	0.770369i	$0.720072\pi$
$480$	−27.4565	+	6.67868i	−1.25321	+	0.304839i
$481$		−	39.2666i		−	1.79040i
$482$	−8.96186	+	1.88431i	−0.408201	+	0.0858278i
$483$	37.6731	−	8.32939i	1.71419	−	0.379001i
$484$	−10.4468	+	4.59627i	−0.474857	+	0.208921i
$485$	−17.2966	−	29.9586i	−0.785400	−	1.36035i
$486$	13.1495	−	17.6944i	0.596473	−	0.802633i
$487$	32.6742	+	18.8645i	1.48061	+	0.854831i	0.999759	−	0.0219714i	$-0.00699428\pi$
$487$	32.6742	+	18.8645i	1.48061	+	0.854831i	0.480851	+	0.876802i	$0.340328\pi$
$488$	−2.68266	−	27.2528i	−0.121438	−	1.23367i
$489$	13.9831	+	3.93003i	0.632337	+	0.177722i
$490$	17.6576	+	22.4345i	0.797687	+	1.01349i
$491$	−2.27638	−	1.31427i	−0.102732	−	0.0593121i	0.447754	−	0.894157i	$-0.352224\pi$
$491$	−2.27638	−	1.31427i	−0.102732	−	0.0593121i	−0.550486	+	0.834845i	$0.685557\pi$
$492$	0.532884	+	0.680846i	0.0240243	+	0.0306949i
$493$		−	6.64134i		−	0.299111i
$494$	4.16416	−	0.875550i	0.187354	−	0.0393928i
$495$	0.485183	−	19.8999i	0.0218073	−	0.894433i
$496$	−6.41882	−	1.42351i	−0.288214	−	0.0639174i
$497$	16.2660	−	26.1993i	0.729630	−	1.17520i
$498$	17.2619	+	1.15391i	0.773522	+	0.0517078i
$499$		−	30.8820i		−	1.38247i	−0.722631	−	0.691234i	$-0.757067\pi$
$499$		−	30.8820i		−	1.38247i	0.722631	−	0.691234i	$-0.242933\pi$
$500$	−3.90859	−	8.88381i	−0.174797	−	0.397296i
$501$	−9.42112	+	2.40171i	−0.420905	+	0.107300i
$502$	−6.60767	−	31.4264i	−0.294915	−	1.40263i
$503$	19.7686			0.881436			0.440718	−	0.897646i	$-0.354724\pi$
$503$	19.7686			0.881436			0.440718	+	0.897646i	$0.354724\pi$
$504$	−22.4304	+	0.936531i	−0.999129	+	0.0417164i
$505$	−11.7770			−0.524069
$506$	5.63673	+	26.8086i	0.250583	+	1.19179i
$507$	5.05196	−	17.9749i	0.224366	−	0.798295i
$508$	−11.9063	−	27.0618i	−0.528257	−	1.20067i
$509$			24.8342i			1.10076i	0.834915	+	0.550379i	$0.185517\pi$
$509$			24.8342i			1.10076i	−0.834915	+	0.550379i	$0.814483\pi$
$510$	−12.7527	−	25.9447i	−0.564697	−	1.14885i
$511$	−6.72803	−	12.5658i	−0.297630	−	0.555878i
$512$	−21.6542	+	6.56485i	−0.956988	+	0.290128i
$513$	−3.06449	−	0.942467i	−0.135300	−	0.0416109i
$514$	−12.8007	+	2.69145i	−0.564615	+	0.118715i
$515$			18.4312i			0.812174i
$516$	25.8162	−	3.65101i	1.13649	−	0.160727i
$517$	−5.88076	−	3.39526i	−0.258636	−	0.149323i
$518$	29.6675	−	5.25233i	1.30351	−	0.230774i
$519$	4.84265	+	18.9962i	0.212569	+	0.833840i
$520$	39.5866	−	3.89676i	1.73599	−	0.170884i
$521$	−28.0791	−	16.2115i	−1.23017	−	0.710238i	−0.263104	−	0.964768i	$-0.584746\pi$
$521$	−28.0791	−	16.2115i	−1.23017	−	0.710238i	−0.967065	+	0.254529i	$0.918079\pi$
$522$	−4.46954	−	5.23735i	−0.195626	−	0.229233i
$523$	−3.72094	−	6.44486i	−0.162705	−	0.281814i	0.773133	−	0.634244i	$-0.218689\pi$
$523$	−3.72094	−	6.44486i	−0.162705	−	0.281814i	−0.935838	+	0.352430i	$0.885355\pi$
$524$	16.7574	−	7.37270i	0.732050	−	0.322078i
$525$	3.28182	+	14.8434i	0.143230	+	0.647819i
$526$	−23.7776	+	4.99944i	−1.03675	+	0.217986i
$527$		−	6.72657i		−	0.293014i
$528$	−0.499993	−	15.9321i	−0.0217594	−	0.693356i
$529$	−47.8878			−2.08208
$530$	−11.5985	+	35.4313i	−0.503809	+	1.53904i
$531$	4.01683	−	2.19035i	0.174315	−	0.0950530i
$532$	1.21851	+	3.02907i	0.0528292	+	0.131327i
$533$	−0.608548	−	1.05404i	−0.0263592	−	0.0456554i
$534$	−2.27289	+	34.0013i	−0.0983576	+	1.47138i
$535$	−8.43067	−	14.6023i	−0.364490	−	0.631314i
$536$	21.0568	+	9.54208i	0.909514	+	0.412155i
$537$	0.925974	+	3.63230i	0.0399587	+	0.156745i
$538$	3.33776	−	10.1962i	0.143901	−	0.439589i
$539$	−14.4341	+	7.14361i	−0.621722	+	0.307697i
$540$	−27.5172	−	11.8776i	−1.18415	−	0.511129i
$541$	−14.4680	−	25.0594i	−0.622030	−	1.07739i	−0.989107	−	0.147197i	$-0.952975\pi$
$541$	−14.4680	−	25.0594i	−0.622030	−	1.07739i	0.367078	−	0.930190i	$-0.380358\pi$
$542$	−15.1972	+	13.6232i	−0.652776	+	0.585167i
$543$	−2.20490	+	2.15180i	−0.0946213	+	0.0923425i
$544$	−11.3537	−	20.1744i	−0.486786	−	0.864972i
$545$	35.0776	+	20.2521i	1.50256	+	0.867504i
$546$	31.4491	+	3.11616i	1.34590	+	0.133359i
$547$	12.0358	−	6.94888i	0.514614	−	0.297113i	−0.220114	−	0.975474i	$-0.570643\pi$
$547$	12.0358	−	6.94888i	0.514614	−	0.297113i	0.734728	+	0.678361i	$0.237310\pi$
$548$	−38.3618	+	16.8779i	−1.63873	+	0.720989i
$549$	15.1316	−	24.7928i	0.645801	−	1.05813i
$550$	−10.5627	+	2.22090i	−0.450395	+	0.0946993i
$551$	−0.500673	+	0.867191i	−0.0213294	+	0.0369436i
$552$	40.6107	+	7.21665i	1.72851	+	0.307161i
$553$	−2.96539	−	5.53840i	−0.126101	−	0.235517i
$554$	2.17386	+	10.3390i	0.0923586	+	0.439262i
$555$	38.7223	+	10.8831i	1.64367	+	0.461964i
$556$	−1.36116	+	12.4245i	−0.0577259	+	0.526914i
$557$	3.43086	−	5.94243i	0.145370	−	0.251789i	−0.784141	−	0.620583i	$-0.786896\pi$
$557$	3.43086	−	5.94243i	0.145370	−	0.251789i	0.929511	+	0.368794i	$0.120229\pi$
$558$	−4.52689	−	5.30456i	−0.191639	−	0.224560i
$559$	−36.7034			−1.55239
$560$	8.23928	+	29.3880i	0.348173	+	1.24187i
$561$	15.8026	−	4.02851i	0.667184	−	0.170084i
$562$	−2.64268	+	2.36898i	−0.111475	+	0.0999293i
$563$	19.8978	+	34.4640i	0.838593	+	1.45249i	0.891071	+	0.453863i	$0.149954\pi$
$563$	19.8978	+	34.4640i	0.838593	+	1.45249i	−0.0524789	+	0.998622i	$0.516712\pi$
$564$	−8.05129	+	6.30159i	−0.339021	+	0.265345i
$565$	19.5073	+	11.2626i	0.820680	+	0.473820i
$566$	11.4850	−	10.2955i	0.482752	−	0.432753i
$567$	−19.5938	−	13.5308i	−0.822862	−	0.568241i
$568$	26.7984	−	19.2012i	1.12444	−	0.805666i
$569$	0.133857	−	0.231848i	0.00561159	−	0.00971956i	−0.863206	−	0.504852i	$-0.831547\pi$
$569$	0.133857	−	0.231848i	0.00561159	−	0.00971956i	0.868818	+	0.495132i	$0.164880\pi$
$570$	−0.290725	+	4.34910i	−0.0121771	+	0.182164i
$571$	−28.5925	+	16.5079i	−1.19656	+	0.690834i	−0.959786	−	0.280732i	$-0.909423\pi$
$571$	−28.5925	+	16.5079i	−1.19656	+	0.690834i	−0.236772	+	0.971565i	$0.576090\pi$
$572$	−2.44366	+	22.3054i	−0.102175	+	0.932638i
$573$	−2.18792	−	8.58250i	−0.0914016	−	0.358539i
$574$	0.714966	−	0.600771i	0.0298421	−	0.0250757i
$575$		−	27.9301i		−	1.16477i
$576$	−22.5306	−	8.26864i	−0.938777	−	0.344527i
$577$	2.15927	+	1.24665i	0.0898915	+	0.0518989i	0.544272	−	0.838909i	$-0.316806\pi$
$577$	2.15927	+	1.24665i	0.0898915	+	0.0518989i	−0.454380	+	0.890808i	$0.650139\pi$
$578$	−0.266077	+	0.238519i	−0.0110674	+	0.00992110i
$579$	−3.38645	+	12.0490i	−0.140736	+	0.500741i
$580$	−5.53530	+	7.54863i	−0.229841	+	0.313440i
$581$	0.598155	−	18.6770i	0.0248157	−	0.774851i
$582$	1.95970	−	29.3162i	0.0812323	−	1.21519i
$583$	−18.2130	−	10.5153i	−0.754306	−	0.435499i
$584$	−1.49274	−	15.1645i	−0.0617699	−	0.627510i
$585$	36.0133	+	21.9797i	1.48897	+	0.908750i
$586$	−0.833311	+	2.54560i	−0.0344238	+	0.105158i
$587$	2.07534	+	3.59459i	0.0856583	+	0.148365i	0.905672	−	0.423980i	$-0.139367\pi$
$587$	2.07534	+	3.59459i	0.0856583	+	0.148365i	−0.820013	+	0.572345i	$0.806034\pi$
$588$	1.85227	+	24.1779i	0.0763865	+	0.997078i
$589$	−0.507098	+	0.878319i	−0.0208946	+	0.0361905i
$590$	−4.15187	−	4.63157i	−0.170930	−	0.190679i
$591$	5.25888	+	5.38866i	0.216321	+	0.221660i
$592$	31.4451	+	6.97361i	1.29239	+	0.286613i
$593$	−10.8901	+	6.28739i	−0.447202	+	0.258192i	−0.706648	−	0.707565i	$-0.749793\pi$
$593$	−10.8901	+	6.28739i	−0.447202	+	0.258192i	0.259446	+	0.965758i	$0.416460\pi$
$594$	9.75074	−	13.8118i	0.400078	−	0.566704i
$595$	−27.5282	+	14.7393i	−1.12855	+	0.604251i
$596$	−17.2689	+	7.59775i	−0.707362	+	0.311216i
$597$	−34.4983	+	8.79458i	−1.41192	+	0.359938i
$598$	−55.1824	−	18.0642i	−2.25658	−	0.738699i
$599$	−5.00849	+	2.89165i	−0.204641	+	0.118150i	−0.598819	−	0.800885i	$-0.704363\pi$
$599$	−5.00849	+	2.89165i	−0.204641	+	0.118150i	0.394177	+	0.919034i	$0.371030\pi$
$600$	−2.84339	+	16.0008i	−0.116081	+	0.653230i
$601$	−22.7080	+	13.1105i	−0.926280	+	0.534788i	−0.885633	−	0.464386i	$-0.846275\pi$
$601$	−22.7080	+	13.1105i	−0.926280	+	0.534788i	−0.0406466	+	0.999174i	$0.512942\pi$
$602$	−4.90947	−	27.7309i	−0.200095	−	1.13023i
$603$	11.7389	+	21.5277i	0.478045	+	0.876675i
$604$	1.40039	+	3.18295i	0.0569811	+	0.129512i
$605$			16.4578i			0.669103i
$606$	−8.30974	−	5.56801i	−0.337560	−	0.226185i
$607$	1.67256			0.0678871			0.0339436	−	0.999424i	$-0.489193\pi$
$607$	1.67256			0.0678871			0.0339436	+	0.999424i	$0.489193\pi$
$608$	−0.0383904	+	3.49019i	−0.00155694	+	0.141546i
$609$	−5.48593	+	5.02118i	−0.222301	+	0.203468i
$610$	−37.5285	−	12.2851i	−1.51948	−	0.497408i
$611$	12.4644	−	7.19635i	0.504257	−	0.291133i
$612$	3.26814	−	24.3356i	0.132107	−	0.983710i
$613$	−20.0588	+	34.7428i	−0.810166	+	1.40325i	0.102582	+	0.994725i	$0.467290\pi$
$613$	−20.0588	+	34.7428i	−0.810166	+	1.40325i	−0.912748	+	0.408524i	$0.866044\pi$
$614$	−1.76311	−	8.38546i	−0.0711535	−	0.338410i
$615$	1.20809	−	0.307976i	0.0487149	−	0.0124188i
$616$	−17.1795	+	1.13731i	−0.692182	+	0.0458234i
$617$	−1.39950	+	2.42400i	−0.0563416	+	0.0975865i	−0.892821	−	0.450413i	$-0.851277\pi$
$617$	−1.39950	+	2.42400i	−0.0563416	+	0.0975865i	0.836479	+	0.547999i	$0.184610\pi$
$618$	−8.71401	+	13.0049i	−0.350529	+	0.523132i
$619$	−24.9098			−1.00121			−0.500605	−	0.865676i	$-0.666889\pi$
$619$	−24.9098			−1.00121			−0.500605	+	0.865676i	$0.666889\pi$
$620$	−5.60633	+	7.64549i	−0.225156	+	0.307050i
$621$	29.7836	+	32.0454i	1.19518	+	1.28594i
$622$	17.2081	−	15.4259i	0.689983	−	0.618520i
$623$	36.7887	+	1.17821i	1.47391	+	0.0472039i
$624$	29.7743	+	15.9665i	1.19193	+	0.639171i
$625$	−30.5820			−1.22328
$626$	3.94622	−	12.0549i	0.157723	−	0.481811i
$627$	−2.36711	−	0.665290i	−0.0945333	−	0.0265691i
$628$	−26.4491	+	36.0693i	−1.05543	+	1.43932i
$629$			32.9527i			1.31391i
$630$	−11.7894	+	30.1495i	−0.469701	+	1.20118i
$631$			24.4900i			0.974933i	0.873142	+	0.487466i	$0.162079\pi$
$631$			24.4900i			0.974933i	−0.873142	+	0.487466i	$0.837921\pi$
$632$	−0.657927	−	6.68377i	−0.0261709	−	0.265866i
$633$	−2.15682	−	8.46050i	−0.0857258	−	0.336275i
$634$	32.1861	+	10.5362i	1.27827	+	0.418447i
$635$	−42.6327			−1.69183
$636$	−24.9353	+	19.5163i	−0.988747	+	0.773873i
$637$	2.18422	−	34.0653i	0.0865418	−	1.34972i
$638$	−3.52462	−	3.93185i	−0.139541	−	0.155663i
$639$	34.9567	+	0.852286i	1.38287	+	0.0337159i
$640$	−3.90986	+	32.3934i	−0.154551	+	1.28046i
$641$	−7.93158			−0.313279			−0.156639	−	0.987656i	$-0.550066\pi$
$641$	−7.93158			−0.313279			−0.156639	+	0.987656i	$0.550066\pi$
$642$	0.955192	−	14.2892i	0.0376984	−	0.563949i
$643$	−11.6480	+	20.1750i	−0.459354	+	0.795625i	−0.998927	−	0.0463143i	$-0.985252\pi$
$643$	−11.6480	+	20.1750i	−0.459354	+	0.795625i	0.539573	+	0.841939i	$0.318586\pi$
$644$	6.26695	−	44.1088i	0.246952	−	1.73813i
$645$	10.1727	−	36.1946i	0.400550	−	1.42516i
$646$	−3.49458	+	0.734765i	−0.137492	+	0.0289089i
$647$	−14.6952	+	25.4529i	−0.577729	+	1.00066i	0.418010	+	0.908442i	$0.362728\pi$
$647$	−14.6952	+	25.4529i	−0.577729	+	1.00066i	−0.995739	+	0.0922139i	$0.970606\pi$
$648$	−13.8003	−	21.3905i	−0.542127	−	0.840297i
$649$	3.03869	−	1.75439i	0.119279	−	0.0688658i
$650$	7.11736	−	21.7421i	0.279166	−	0.852797i
$651$	−5.55633	+	5.08561i	−0.217770	+	0.199321i
$652$	9.91786	−	13.5252i	0.388413	−	0.529689i
$653$	−46.1517			−1.80606			−0.903028	−	0.429582i	$-0.858661\pi$
$653$	−46.1517			−1.80606			−0.903028	+	0.429582i	$0.858661\pi$
$654$	15.1755	+	30.8739i	0.593411	+	1.20727i
$655$		−	26.3993i		−	1.03151i
$656$	0.952158	−	0.300138i	0.0371755	−	0.0117184i
$657$	8.41980	−	13.7957i	0.328488	−	0.538220i
$658$	7.10437	+	8.45478i	0.276957	+	0.329602i
$659$	13.7222	−	7.92254i	0.534543	−	0.308618i	−0.208322	−	0.978060i	$-0.566800\pi$
$659$	13.7222	−	7.92254i	0.534543	−	0.308618i	0.742864	+	0.669442i	$0.233467\pi$
$660$	−21.3190	−	8.59197i	−0.829840	−	0.334442i
$661$	11.5391	−	6.66210i	0.448819	−	0.259126i	−0.258512	−	0.966008i	$-0.583232\pi$
$661$	11.5391	−	6.66210i	0.448819	−	0.259126i	0.707331	+	0.706882i	$0.249899\pi$
$662$	0.901124	−	2.75275i	0.0350232	−	0.106989i
$663$	−9.35238	+	33.2759i	−0.363216	+	1.29233i
$664$	8.24554	−	18.1957i	0.319989	−	0.706129i
$665$	4.70564	+	0.150705i	0.182477	+	0.00584407i
$666$	22.1767	+	25.9865i	0.859331	+	1.00695i
$667$	11.8331	−	6.83186i	0.458181	−	0.264531i
$668$	−1.22260	+	11.1597i	−0.0473038	+	0.431783i
$669$	11.7285	−	41.7300i	0.453449	−	1.61338i
$670$	24.8223	−	22.2514i	0.958970	−	0.859648i
$671$	11.1377	−	19.2911i	0.429966	−	0.744724i
$672$	−8.08069	+	24.6313i	−0.311719	+	0.950174i
$673$	6.69218	+	11.5912i	0.257965	+	0.446808i	0.965697	−	0.259673i	$-0.0836149\pi$
$673$	6.69218	+	11.5912i	0.257965	+	0.446808i	−0.707732	+	0.706481i	$0.750282\pi$
$674$	24.7540	+	8.10330i	0.953488	+	0.312128i
$675$	−12.6260	+	11.7349i	−0.485976	+	0.451676i
$676$	−17.3864	−	12.7492i	−0.668707	−	0.490354i
$677$	−4.05452	−	2.34088i	−0.155828	−	0.0899672i	0.420059	−	0.907497i	$-0.362010\pi$
$677$	−4.05452	−	2.34088i	−0.155828	−	0.0899672i	−0.575886	+	0.817530i	$0.695343\pi$
$678$	8.43941	+	17.1696i	0.324114	+	0.659394i
$679$	−31.7195	−	1.01586i	−1.21728	−	0.0389851i
$680$	−33.2212	+	3.27018i	−1.27398	+	0.125406i
$681$	13.4294	+	13.7608i	0.514615	+	0.527315i
$682$	−3.56985	−	3.98230i	−0.136697	−	0.152490i
$683$	31.2594	+	18.0476i	1.19611	+	0.690573i	0.959685	−	0.281078i	$-0.0906918\pi$
$683$	31.2594	+	18.0476i	1.19611	+	0.690573i	0.236422	+	0.971650i	$0.424025\pi$
$684$	−2.26133	+	2.93124i	−0.0864642	+	0.112079i
$685$			60.4344i			2.30908i
$686$	26.0299	−	2.90634i	0.993824	−	0.110964i
$687$	30.6884	−	29.9493i	1.17083	−	1.14264i
$688$	6.51839	−	29.3924i	0.248511	−	1.12058i
$689$	38.6030	−	22.2875i	1.47066	−	0.849084i
$690$	33.1081	−	49.4109i	1.26040	−	1.88104i
$691$	−4.37292	+	7.57411i	−0.166354	+	0.288133i	−0.937135	−	0.348967i	$-0.886533\pi$
$691$	−4.37292	+	7.57411i	−0.166354	+	0.288133i	0.770782	+	0.637099i	$0.219866\pi$
$692$	22.5018	+	2.46517i	0.855390	+	0.0937119i
$693$	−15.2752	−	10.0076i	−0.580256	−	0.380157i
$694$	−3.32568	−	3.70992i	−0.126241	−	0.140827i
$695$	15.6085	+	9.01156i	0.592063	+	0.341828i
$696$	−7.47455	+	2.70923i	−0.283322	+	0.102693i
$697$	0.510696	+	0.884552i	0.0193440	+	0.0335048i
$698$	−30.6047	−	34.1407i	−1.15841	−	1.29224i
$699$	−8.87044	+	31.5611i	−0.335511	+	1.19375i
$700$	17.3791	+	2.46921i	0.656867	+	0.0933273i
$701$	40.7123			1.53768			0.768841	−	0.639440i	$-0.220834\pi$
$701$	40.7123			1.53768			0.768841	+	0.639440i	$0.220834\pi$
$702$	15.0189	+	32.5353i	0.566853	+	1.22797i
$703$	2.48421	−	4.30279i	0.0936939	−	0.162283i
$704$	−17.4284	−	5.91827i	−0.656859	−	0.223053i
$705$	3.64195	+	14.2862i	0.137164	+	0.538049i
$706$	14.2302	−	2.99202i	0.535560	−	0.112606i
$707$	−5.69883	+	9.17898i	−0.214326	+	0.345211i
$708$	−0.739778	−	5.23094i	−0.0278026	−	0.196591i
$709$	−9.47395	+	16.4094i	−0.355802	+	0.616267i	−0.987255	−	0.159147i	$-0.949125\pi$
$709$	−9.47395	+	16.4094i	−0.355802	+	0.616267i	0.631453	+	0.775414i	$0.282459\pi$
$710$	−9.78148	−	46.5212i	−0.367092	−	1.74591i
$711$	3.71104	−	6.08046i	0.139175	−	0.228035i
$712$	35.8406	+	16.2415i	1.34318	+	0.608677i
$713$	11.9850	−	6.91953i	0.448841	−	0.259139i
$714$	−26.3922	−	2.61509i	−0.987704	−	0.0978673i
$715$	28.0217	+	16.1783i	1.04795	+	0.605035i
$716$	4.30262	+	0.471371i	0.160796	+	0.0176160i
$717$	2.42377	+	9.50767i	0.0905173	+	0.355070i
$718$	31.1786	+	34.7809i	1.16358	+	1.29801i
$719$	−9.16079	−	15.8669i	−0.341640	−	0.591737i	0.643098	−	0.765784i	$-0.277649\pi$
$719$	−9.16079	−	15.8669i	−0.341640	−	0.591737i	−0.984737	+	0.174047i	$0.944316\pi$
$720$	−23.9974	+	24.9363i	−0.894331	+	0.929320i
$721$	14.3652	+	8.91875i	0.534989	+	0.332151i
$722$	−25.0249	−	8.19200i	−0.931331	−	0.304874i
$723$	−8.02697	+	7.83365i	−0.298526	+	0.291336i
$724$	1.43265	+	3.25627i	0.0532440	+	0.121018i
$725$	2.69179	+	4.66231i	0.0999704	+	0.173154i
$726$	−7.78102	+	11.6125i	−0.288781	+	0.430979i
$727$	−24.7364	−	42.8448i	−0.917424	−	1.58902i	−0.803314	−	0.595556i	$-0.796932\pi$
$727$	−24.7364	−	42.8448i	−0.917424	−	1.58902i	−0.114110	−	0.993468i	$-0.536402\pi$
$728$	16.1186	−	32.7394i	0.597396	−	1.21340i
$729$	1.97273	−	26.9278i	0.0730640	−	0.997327i
$730$	−20.8823	−	6.83588i	−0.772887	−	0.253007i
$731$	30.8016			1.13924
$732$	−20.6715	−	26.4112i	−0.764042	−	0.976186i
$733$			28.1521i			1.03982i	0.854220	+	0.519911i	$0.174035\pi$
$733$			28.1521i			1.03982i	−0.854220	+	0.519911i	$0.825965\pi$
$734$	−9.39524	−	44.6842i	−0.346784	−	1.64932i
$735$	32.9877	+	11.5955i	1.21677	+	0.427706i
$736$	24.2661	−	40.9825i	0.894462	−	1.51063i
$737$	9.40243	+	16.2855i	0.346343	+	0.599884i
$738$	0.998025	+	0.353864i	0.0367378	+	0.0130259i
$739$	0.274010	+	0.158200i	0.0100796	+	0.00581948i	0.505031	−	0.863101i	$-0.331481\pi$
$739$	0.274010	+	0.158200i	0.0100796	+	0.00581948i	−0.494952	+	0.868920i	$0.664814\pi$
$740$	27.4648	−	37.4544i	1.00963	−	1.37685i
$741$	3.72976	−	3.63993i	0.137016	−	0.133716i
$742$	22.0026	+	26.1849i	0.807741	+	0.961278i
$743$	−13.3820	−	7.72609i	−0.490937	−	0.283443i	0.234026	−	0.972230i	$-0.424810\pi$
$743$	−13.3820	−	7.72609i	−0.490937	−	0.283443i	−0.724963	+	0.688788i	$0.758143\pi$
$744$	−7.57047	+	2.74399i	−0.277547	+	0.100600i
$745$			27.2051i			0.996719i
$746$	−5.51067	−	26.2090i	−0.201760	−	0.959581i
$747$	18.6026	−	10.1439i	0.680634	−	0.371145i
$748$	2.05073	−	18.7188i	0.0749822	−	0.684428i
$749$	−15.4606	−	0.495147i	−0.564918	−	0.0180923i
$750$	−9.87503	−	6.61684i	−0.360585	−	0.241613i
$751$		−	47.1347i		−	1.71997i	−0.510318	−	0.859986i	$-0.670472\pi$
$751$		−	47.1347i		−	1.71997i	0.510318	−	0.859986i	$-0.329528\pi$
$752$	3.54927	+	11.2597i	0.129428	+	0.410598i
$753$	−27.4702	−	28.1481i	−1.00107	−	1.02577i
$754$	10.9524	−	2.30284i	0.398863	−	0.0838644i
$755$	5.01435			0.182491
$756$	−22.5728	+	15.6993i	−0.820964	+	0.570980i
$757$	12.2405			0.444888			0.222444	−	0.974945i	$-0.428596\pi$
$757$	12.2405			0.444888			0.222444	+	0.974945i	$0.428596\pi$
$758$	−18.6088	+	3.91265i	−0.675901	+	0.142114i
$759$	23.4336	+	24.0119i	0.850587	+	0.871578i
$760$	4.58437	+	2.07745i	0.166293	+	0.0753572i
$761$		−	4.78888i		−	0.173597i	−0.996226	−	0.0867985i	$-0.972336\pi$
$761$		−	4.78888i		−	0.173597i	0.996226	−	0.0867985i	$-0.0276636\pi$
$762$	−30.0813	−	20.1562i	−1.08973	−	0.730182i
$763$	32.7583	−	17.5396i	1.18593	−	0.634976i
$764$	−10.1663	−	1.11377i	−0.367805	−	0.0402948i
$765$	−30.2225	−	18.4455i	−1.09270	−	0.666898i
$766$	0.366658	+	1.74384i	0.0132479	+	0.0630076i
$767$			7.43695i			0.268533i
$768$	−18.0739	+	21.0079i	−0.652186	+	0.758059i
$769$	−23.0936	−	13.3331i	−0.832775	−	0.480803i	0.0220266	−	0.999757i	$-0.492988\pi$
$769$	−23.0936	−	13.3331i	−0.832775	−	0.480803i	−0.854802	+	0.518954i	$0.826321\pi$
$770$	−8.47516	+	23.3355i	−0.305424	+	0.840953i
$771$	−11.4653	+	11.1892i	−0.412914	+	0.402970i
$772$	11.6545	+	8.54609i	0.419455	+	0.307580i
$773$	−11.8079	−	6.81730i	−0.424701	−	0.245201i	0.272386	−	0.962188i	$-0.412187\pi$
$773$	−11.8079	−	6.81730i	−0.424701	−	0.245201i	−0.697087	+	0.716987i	$0.745521\pi$
$774$	24.2901	−	20.7291i	0.873091	−	0.745092i
$775$	2.72633	+	4.72214i	0.0979326	+	0.169624i
$776$	−30.9021	−	14.0036i	−1.10932	−	0.502699i
$777$	27.2199	−	24.9139i	0.976507	−	0.893780i
$778$	−2.29610	−	10.9204i	−0.0823192	−	0.391515i
$779$		−	0.154000i		−	0.00551762i
$780$	38.3642	−	30.0269i	1.37366	−	1.07513i
$781$	26.8167			0.959575
$782$	46.3093	+	15.1595i	1.65602	+	0.542103i
$783$	−8.06010	−	2.47884i	−0.288045	−	0.0885866i
$784$	26.8919	+	7.79901i	0.960426	+	0.278536i
$785$	32.2483	+	55.8556i	1.15099	+	1.99357i
$786$	12.4812	−	18.6271i	0.445191	−	0.664407i
$787$	23.0646	+	39.9490i	0.822163	+	1.42403i	0.904068	+	0.427389i	$0.140566\pi$
$787$	23.0646	+	39.9490i	0.822163	+	1.42403i	−0.0819047	+	0.996640i	$0.526100\pi$
$788$	7.95814	−	3.50132i	0.283497	−	0.124729i
$789$	−21.2971	+	20.7842i	−0.758198	+	0.739937i
$790$	−9.20390	−	3.01293i	−0.327460	−	0.107195i
$791$	18.2175	−	9.75410i	0.647741	−	0.346816i
$792$	−10.9803	−	16.1417i	−0.390168	−	0.573572i
$793$	23.6067	+	40.8879i	0.838297	+	1.45197i
$794$	−0.769626	−	0.858546i	−0.0273130	−	0.0304687i
$795$	11.2793	+	44.2451i	0.400036	+	1.56921i
$796$	−4.47692	+	40.8648i	−0.158680	+	1.44841i
$797$	10.2839	+	5.93744i	0.364276	+	0.210315i	0.670955	−	0.741498i	$-0.265884\pi$
$797$	10.2839	+	5.93744i	0.364276	+	0.210315i	−0.306679	+	0.951813i	$0.599218\pi$
$798$	3.24901	+	2.33110i	0.115014	+	0.0825201i
$799$	−10.4602	+	6.03920i	−0.370055	+	0.213652i
$800$	16.1473	+	9.56097i	0.570893	+	0.338031i
$801$	19.9807	+	36.6422i	0.705985	+	1.29469i
$802$	−2.82228	−	13.4229i	−0.0996581	−	0.473979i
$803$	6.19744	−	10.7343i	0.218703	−	0.378805i
$804$	28.0346	−	3.96475i	0.988704	−	0.139826i
$805$	−54.5794	−	33.8860i	−1.92367	−	1.19432i
$806$	11.0930	−	2.33239i	0.390733	−	0.0821549i
$807$	−3.24589	−	12.7326i	−0.114261	−	0.448208i
$808$	−9.38887	+	6.72719i	−0.330299	+	0.236662i
$809$	−0.118023	+	0.204421i	−0.00414946	+	0.00718707i	−0.868093	−	0.496402i	$-0.834654\pi$
$809$	−0.118023	+	0.204421i	−0.00414946	+	0.00718707i	0.863943	+	0.503589i	$0.167987\pi$
$810$	−36.2470	+	5.79326i	−1.27359	+	0.203554i
$811$	38.4776			1.35113			0.675565	−	0.737300i	$-0.263900\pi$
$811$	38.4776			1.35113			0.675565	+	0.737300i	$0.263900\pi$
$812$	3.20489	+	7.96695i	0.112469	+	0.279585i
$813$	−6.76334	+	24.0640i	−0.237201	+	0.843963i
$814$	17.4883	+	19.5088i	0.612964	+	0.683785i
$815$	−12.0924	−	20.9447i	−0.423579	−	0.733660i
$816$	−24.9867	−	13.3991i	−0.874709	−	0.469064i
$817$	−4.02191	−	2.32205i	−0.140709	−	0.0812383i
$818$	7.78737	+	8.68711i	0.272279	+	0.303738i
$819$	34.5577	−	17.4329i	1.20754	−	0.609153i
$820$	0.156777	−	1.43104i	0.00547487	−	0.0499740i
$821$	5.77846	−	10.0086i	0.201670	−	0.349302i	−0.747397	−	0.664378i	$-0.768697\pi$
$821$	5.77846	−	10.0086i	0.201670	−	0.349302i	0.949067	+	0.315076i	$0.102030\pi$
$822$	−28.5726	+	42.6420i	−0.996584	+	1.48731i
$823$	13.9739	−	8.06786i	0.487101	−	0.281228i	−0.236270	−	0.971687i	$-0.575925\pi$
$823$	13.9739	−	8.06786i	0.487101	−	0.281228i	0.723371	+	0.690460i	$0.242592\pi$
$824$	10.5282	+	14.6937i	0.366766	+	0.511880i
$825$	−9.46081	+	9.23296i	−0.329383	+	0.321450i
$826$	−5.61891	+	0.994771i	−0.195507	+	0.0346125i
$827$		−	38.7636i		−	1.34794i	−0.738758	−	0.673971i	$-0.764587\pi$
$827$		−	38.7636i		−	1.34794i	0.738758	−	0.673971i	$-0.235413\pi$
$828$	46.7216	−	19.2108i	1.62369	−	0.667620i
$829$	−37.3363	−	21.5561i	−1.29674	−	0.748675i	−0.316904	−	0.948458i	$-0.602643\pi$
$829$	−37.3363	−	21.5561i	−1.29674	−	0.748675i	−0.979840	+	0.199782i	$0.935976\pi$
$830$	−19.2280	−	21.4496i	−0.667414	−	0.744525i
$831$	9.03743	+	9.26046i	0.313505	+	0.321242i
$832$	29.3334	−	25.7190i	1.01695	−	0.891647i
$833$	−1.83300	+	28.5877i	−0.0635098	+	0.990507i
$834$	6.75266	+	13.7380i	0.233825	+	0.475707i
$835$	14.0196	+	8.09424i	0.485169	+	0.280113i
$836$	−1.67893	+	2.28960i	−0.0580671	+	0.0791875i
$837$	−8.16354	−	2.51065i	−0.282173	−	0.0867808i
$838$	−9.23481	−	3.02305i	−0.319011	−	0.104429i
$839$	−7.11267	−	12.3195i	−0.245557	−	0.425316i	0.716731	−	0.697349i	$-0.245637\pi$
$839$	−7.11267	−	12.3195i	−0.245557	−	0.425316i	−0.962288	+	0.272033i	$0.912304\pi$
$840$	27.8181	+	24.9692i	0.959816	+	0.861520i
$841$	13.1831	−	22.8339i	0.454591	−	0.787375i
$842$	25.3639	−	22.7370i	0.874099	−	0.783567i
$843$	−1.17610	+	4.18456i	−0.0405069	+	0.144124i
$844$	−10.0218	−	1.09794i	−0.344966	−	0.0377926i
$845$	−26.9239	+	15.5445i	−0.926211	+	0.534748i
$846$	−4.18460	+	11.8021i	−0.143869	+	0.405764i
$847$	12.8272	+	7.96383i	0.440747	+	0.273640i
$848$	10.9923	+	34.8718i	0.377476	+	1.19750i
$849$	5.11128	−	18.1860i	0.175419	−	0.624141i
$850$	−5.97292	+	18.2461i	−0.204869	+	0.625835i
$851$	−58.7131	+	33.8980i	−2.01266	+	1.16201i
$852$	15.0929	−	37.4495i	0.517074	−	1.28300i
$853$	0.104188	−	0.0601528i	0.00356732	−	0.00205959i	−0.498215	−	0.867053i	$-0.666011\pi$
$853$	0.104188	−	0.0601528i	0.00356732	−	0.00205959i	0.501783	+	0.864994i	$0.332678\pi$
$854$	−27.7348	+	23.3050i	−0.949066	+	0.797479i
$855$	2.55574	+	4.68690i	0.0874043	+	0.160289i
$856$	−15.0622	−	6.82558i	−0.514815	−	0.233293i
$857$		−	37.2946i		−	1.27396i	−0.770880	−	0.636980i	$-0.780183\pi$
$857$		−	37.2946i		−	1.27396i	0.770880	−	0.636980i	$-0.219817\pi$
$858$	12.1229	+	24.6636i	0.413871	+	0.842000i
$859$	−47.6470			−1.62569			−0.812847	−	0.582477i	$-0.802083\pi$
$859$	−47.6470			−1.62569			−0.812847	+	0.582477i	$0.802083\pi$
$860$	−35.0095	−	25.6720i	−1.19381	−	0.875407i
$861$	0.344553	−	1.09061i	0.0117423	−	0.0371680i
$862$	−15.3149	+	46.7840i	−0.521627	+	1.59347i
$863$	−22.9114	+	13.2279i	−0.779913	+	0.450283i	−0.836400	−	0.548120i	$-0.815344\pi$
$863$	−22.9114	+	13.2279i	−0.779913	+	0.450283i	0.0564863	+	0.998403i	$0.482010\pi$
$864$	−28.7219	+	6.24916i	−0.977139	+	0.212601i
$865$	16.3207	−	28.2683i	0.554922	−	0.961152i
$866$	−24.3639	+	5.12272i	−0.827919	+	0.174077i
$867$	−0.118415	+	0.421320i	−0.00402157	+	0.0143088i
$868$	3.24601	+	8.06919i	0.110177	+	0.273886i
$869$	2.73154	−	4.73116i	0.0926610	−	0.160494i
$870$	−0.764655	+	11.4389i	−0.0259242	+	0.387813i
$871$	−39.8574			−1.35052
$872$	39.5329	−	3.89148i	1.33875	−	0.131782i
$873$	−17.2276	−	31.5932i	−0.583064	−	1.06927i
$874$	−4.90398	−	5.47058i	−0.165880	−	0.185045i
$875$	−6.77230	+	10.9080i	−0.228946	+	0.368758i
$876$	−11.5024	−	14.6962i	−0.388631	−	0.496539i
$877$	−1.14693			−0.0387290			−0.0193645	−	0.999812i	$-0.506164\pi$
$877$	−1.14693			−0.0387290			−0.0193645	+	0.999812i	$0.506164\pi$
$878$	4.67031	+	1.52884i	0.157615	+	0.0515959i
$879$	0.810375	+	3.17884i	0.0273333	+	0.107220i
$880$	−17.9323	+	19.5668i	−0.604497	+	0.659597i
$881$		−	15.3416i		−	0.516872i	−0.966028	−	0.258436i	$-0.916793\pi$
$881$		−	15.3416i		−	0.516872i	0.966028	−	0.258436i	$-0.0832070\pi$
$882$	17.7937	+	23.7778i	0.599144	+	0.800641i
$883$		−	3.77848i		−	0.127156i	−0.997977	−	0.0635781i	$-0.979749\pi$
$883$		−	3.77848i		−	0.127156i	0.997977	−	0.0635781i	$-0.0202512\pi$
$884$	32.1863	+	23.6018i	1.08254	+	0.793813i
$885$	−7.33386	−	2.06122i	−0.246525	−	0.0692873i
$886$	−5.91092	+	18.0567i	−0.198581	+	0.606626i
$887$	−34.0188			−1.14224			−0.571119	−	0.820867i	$-0.693491\pi$
$887$	−34.0188			−1.14224			−0.571119	+	0.820867i	$0.693491\pi$
$888$	37.0869	−	13.4425i	1.24455	−	0.451101i
$889$	−20.6298	+	33.2279i	−0.691900	+	1.11443i
$890$	42.2500	−	37.8741i	1.41622	−	1.26954i
$891$	1.00910	−	20.6820i	0.0338063	−	0.692873i
$892$	−40.3636	−	29.5981i	−1.35147	−	0.991017i
$893$	1.82111			0.0609413
$894$	−12.8622	+	19.1957i	−0.430177	+	0.642000i
$895$	3.12072	−	5.40525i	0.104314	−	0.180677i
$896$	23.3554	+	18.7223i	0.780249	+	0.625469i
$897$	−68.9096	+	17.5670i	−2.30082	+	0.586544i
$898$	−4.00592	−	19.0523i	−0.133679	−	0.635785i
$899$	−1.33375	+	2.31012i	−0.0444830	+	0.0770469i
$900$	7.56913	+	18.4085i	0.252304	+	0.613618i
$901$	−32.3958	+	18.7037i	−1.07926	+	0.623111i
$902$	0.771784	+	0.252646i	0.0256976	+	0.00841220i
$903$	−23.2875	−	25.4430i	−0.774961	−	0.846690i
$904$	21.9850	−	2.16413i	0.731211	−	0.0719778i
$905$	5.12986			0.170522
$906$	3.53808	+	2.37072i	0.117545	+	0.0787619i
$907$		−	54.8033i		−	1.81971i	−0.414921	−	0.909857i	$-0.636191\pi$
$907$		−	54.8033i		−	1.81971i	0.414921	−	0.909857i	$-0.363809\pi$
$908$	20.3224	−	8.94118i	0.674422	−	0.296723i
$909$	−12.2471	−	0.298600i	−0.406212	−	0.00990394i
$910$	−33.8521	−	40.2868i	−1.12219	−	1.33549i
$911$	−10.6659	+	6.15799i	−0.353379	+	0.204023i	−0.666172	−	0.745798i	$-0.732068\pi$
$911$	−10.6659	+	6.15799i	−0.353379	+	0.204023i	0.312794	+	0.949821i	$0.398735\pi$
$912$	2.25250	+	3.63327i	0.0745878	+	0.120309i
$913$	14.0727	−	8.12487i	0.465738	−	0.268894i
$914$	−35.7467	−	11.7018i	−1.18239	−	0.387061i
$915$	−46.8640	+	11.9469i	−1.54928	+	0.394953i
$916$	−19.9400	−	45.3216i	−0.658836	−	1.49747i
$917$	−20.5756	−	12.7745i	−0.679466	−	0.421851i
$918$	−12.6040	−	27.3038i	−0.415992	−	0.901159i
$919$	−15.5914	+	9.00170i	−0.514313	+	0.296939i	−0.734605	−	0.678495i	$-0.762632\pi$
$919$	−15.5914	+	9.00170i	−0.514313	+	0.296939i	0.220292	+	0.975434i	$0.429299\pi$
$920$	−40.0008	−	55.8275i	−1.31879	−	1.84058i
$921$	−7.32981	−	7.51070i	−0.241526	−	0.247486i
$922$	24.4947	+	27.3248i	0.806690	+	0.899894i
$923$	−28.4193	+	49.2237i	−0.935433	+	1.62022i
$924$	−17.0127	+	12.4584i	−0.559677	+	0.409850i
$925$	−13.3560	−	23.1332i	−0.439142	−	0.760616i
$926$	4.19683	−	12.8205i	0.137916	−	0.421307i
$927$	−0.467314	+	19.1670i	−0.0153486	+	0.629526i
$928$	−0.100973	+	9.17977i	−0.00331460	+	0.301341i
$929$	37.3308	+	21.5530i	1.22479	+	0.707130i	0.965934	−	0.258787i	$-0.0833228\pi$
$929$	37.3308	+	21.5530i	1.22479	+	0.707130i	0.258851	+	0.965917i	$0.416656\pi$
$930$	−0.774467	+	11.5856i	−0.0253958	+	0.379908i
$931$	2.39450	−	3.59465i	0.0784764	−	0.117810i
$932$	30.5277	+	22.3855i	0.999968	+	0.733262i
$933$	7.65827	−	27.2482i	0.250721	−	0.892067i
$934$	6.98652	−	6.26292i	0.228606	−	0.204929i
$935$	−23.5159	−	13.5769i	−0.769052	−	0.444012i
$936$	41.2657	−	3.04863i	1.34881	−	0.0996475i
$937$			9.29097i			0.303523i	0.988417	+	0.151761i	$0.0484945\pi$
$937$			9.29097i			0.303523i	−0.988417	+	0.151761i	$0.951505\pi$
$938$	−5.33135	−	30.1139i	−0.174075	−	0.983252i
$939$	−3.83760	−	15.0537i	−0.125235	−	0.491258i
$940$	16.9226	+	1.85395i	0.551955	+	0.0604692i
$941$	25.8051	−	14.8986i	0.841222	−	0.485680i	−0.0164571	−	0.999865i	$-0.505239\pi$
$941$	25.8051	−	14.8986i	0.841222	−	0.485680i	0.857680	+	0.514185i	$0.171905\pi$
$942$	−3.65372	+	54.6578i	−0.119045	+	1.78085i
$943$	−1.05069	+	1.81985i	−0.0342153	+	0.0592626i
$944$	−5.95558	−	1.32077i	−0.193838	−	0.0429875i
$945$	7.61321	+	38.9103i	0.247658	+	1.26575i
$946$	18.2354	−	16.3467i	0.592883	−	0.531477i
$947$	0.869750	+	0.502150i	0.0282631	+	0.0163177i	0.514065	−	0.857751i	$-0.328139\pi$
$947$	0.869750	+	0.502150i	0.0282631	+	0.0163177i	−0.485802	+	0.874069i	$0.661472\pi$
$948$	−5.06972	−	6.47738i	−0.164657	−	0.210376i
$949$	13.1357	+	22.7516i	0.426401	+	0.738549i
$950$	2.15543	−	1.93219i	0.0699315	−	0.0626886i
$951$	40.1927	−	10.2462i	1.30334	−	0.332257i
$952$	−13.5268	+	27.4750i	−0.438406	+	0.890470i
$953$	−27.1024			−0.877932			−0.438966	−	0.898504i	$-0.644655\pi$
$953$	−27.1024			−0.877932			−0.438966	+	0.898504i	$0.644655\pi$
$954$	−12.9599	+	36.5516i	−0.419593	+	1.18340i
$955$	−7.37373	+	12.7717i	−0.238608	+	0.413282i
$956$	11.2623	+	1.23383i	0.364247	+	0.0399049i
$957$	−6.22588	−	1.74982i	−0.201254	−	0.0565637i
$958$	8.12119	+	38.6248i	0.262384	+	1.24791i
$959$	47.1026	+	29.2439i	1.52102	+	0.944336i
$960$	17.2325	+	36.0551i	0.556176	+	1.16367i
$961$	14.1491	−	24.5070i	0.456424	−	0.790549i
$962$	−54.3432	+	11.4261i	−1.75209	+	0.368393i
$963$	−8.39700	−	15.3990i	−0.270589	−	0.496227i
$964$	5.21558	+	11.8545i	0.167983	+	0.381807i
$965$	18.0478	−	10.4199i	0.580978	−	0.335428i
$966$	−22.4899	−	49.7141i	−0.723601	−	1.59953i
$967$	28.1124	+	16.2307i	0.904033	+	0.521944i	0.878506	−	0.477730i	$-0.158540\pi$
$967$	28.1124	+	16.2307i	0.904033	+	0.521944i	0.0255266	+	0.999674i	$0.491874\pi$
$968$	9.40092	+	13.1205i	0.302157	+	0.421708i
$969$	−3.13003	+	3.05464i	−0.100551	+	0.0981293i
$970$	−36.4282	+	32.6553i	−1.16964	+	1.04850i
$971$	20.1407	+	34.8847i	0.646345	+	1.11950i	0.983989	+	0.178228i	$0.0570366\pi$
$971$	20.1407	+	34.8847i	0.646345	+	1.11950i	−0.337644	+	0.941274i	$0.609630\pi$
$972$	−28.3145	−	13.0494i	−0.908189	−	0.418560i
$973$	14.5765	−	7.80458i	0.467300	−	0.250203i
$974$	16.5997	−	50.7089i	0.531890	−	1.62482i
$975$	−6.92146	−	27.1507i	−0.221664	−	0.869518i
$976$	−36.9359	+	11.6429i	−1.18229	+	0.372680i
$977$	4.87670	+	8.44669i	0.156019	+	0.270234i	0.933430	−	0.358760i	$-0.116800\pi$
$977$	4.87670	+	8.44669i	0.156019	+	0.270234i	−0.777410	+	0.628994i	$0.783467\pi$
$978$	1.37007	−	20.4955i	0.0438099	−	0.655374i
$979$	16.0038	+	27.7195i	0.511485	+	0.885918i
$980$	25.9102	−	30.9654i	0.827671	−	0.989154i
$981$	35.9645	+	21.9499i	1.14826	+	0.700808i
$982$	−1.15649	+	3.53284i	−0.0369050	+	0.112738i
$983$	−19.7170			−0.628876			−0.314438	−	0.949278i	$-0.601816\pi$
$983$	−19.7170			−0.628876			−0.314438	+	0.949278i	$0.601816\pi$
$984$	0.787195	−	0.935605i	0.0250949	−	0.0298260i
$985$		−	12.5371i		−	0.399466i
$986$	−9.19131	+	1.93255i	−0.292711	+	0.0615449i
$987$	12.8970	+	4.07449i	0.410515	+	0.129692i
$988$	−2.42344	−	5.50823i	−0.0770999	−	0.175240i
$989$	31.6852	+	54.8804i	1.00753	+	1.74510i
$990$	−27.6817	+	5.11915i	−0.879781	+	0.162697i
$991$	−9.26536	−	5.34936i	−0.294324	−	0.169928i	0.345566	−	0.938394i	$-0.387687\pi$
$991$	−9.26536	−	5.34936i	−0.294324	−	0.169928i	−0.639890	+	0.768466i	$0.721020\pi$
$992$	−0.102269	+	9.29757i	−0.00324704	+	0.295198i
$993$	−0.876321	−	3.43752i	−0.0278092	−	0.109087i
$994$	−40.9918	−	14.8877i	−1.30018	−	0.472210i
$995$	51.3372	+	29.6395i	1.62750	+	0.939636i
$996$	−3.42604	−	24.2254i	−0.108558	−	0.767610i
$997$			33.7280i			1.06818i	0.845429	+	0.534088i	$0.179345\pi$
$997$			33.7280i			1.06818i	−0.845429	+	0.534088i	$0.820655\pi$
$998$	−42.7392	+	8.98629i	−1.35289	+	0.284456i
$999$	39.9922	+	12.2994i	1.26530	+	0.389136i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.n.b.31.18	✓	84
3.2	odd	2		756.2.n.b.199.25		84
4.3	odd	2	inner	252.2.n.b.31.39	yes	84
7.5	odd	6		252.2.bj.b.103.12	yes	84
9.2	odd	6		756.2.bj.b.451.31		84
9.7	even	3		252.2.bj.b.115.12	yes	84
12.11	even	2		756.2.n.b.199.4		84
21.5	even	6		756.2.bj.b.523.31		84
28.19	even	6		252.2.bj.b.103.11	yes	84
36.7	odd	6		252.2.bj.b.115.11	yes	84
36.11	even	6		756.2.bj.b.451.32		84
63.47	even	6		756.2.n.b.19.4		84
63.61	odd	6	inner	252.2.n.b.187.39	yes	84
84.47	odd	6		756.2.bj.b.523.32		84
252.47	odd	6		756.2.n.b.19.25		84
252.187	even	6	inner	252.2.n.b.187.18	yes	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.n.b.31.18	✓	84	1.1	even	1	trivial
252.2.n.b.31.39	yes	84	4.3	odd	2	inner
252.2.n.b.187.18	yes	84	252.187	even	6	inner
252.2.n.b.187.39	yes	84	63.61	odd	6	inner
252.2.bj.b.103.11	yes	84	28.19	even	6
252.2.bj.b.103.12	yes	84	7.5	odd	6
252.2.bj.b.115.11	yes	84	36.7	odd	6
252.2.bj.b.115.12	yes	84	9.7	even	3
756.2.n.b.19.4		84	63.47	even	6
756.2.n.b.19.25		84	252.47	odd	6
756.2.n.b.199.4		84	12.11	even	2
756.2.n.b.199.25		84	3.2	odd	2
756.2.bj.b.451.31		84	9.2	odd	6
756.2.bj.b.451.32		84	36.11	even	6
756.2.bj.b.523.31		84	21.5	even	6
756.2.bj.b.523.32		84	84.47	odd	6

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.n (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.290988 - 1.38395i) q^{2} +(-1.20973 - 1.23958i) q^{3} +(-1.83065 + 0.805427i) q^{4} +2.88398i q^{5} +(-1.36351 + 2.03491i) q^{6} +(2.24777 + 1.39554i) q^{7} +(1.64737 + 2.29917i) q^{8} +(-0.0731219 + 2.99911i) q^{9} +O(q^{10})\)	\(q+(-0.290988 - 1.38395i) q^{2} +(-1.20973 - 1.23958i) q^{3} +(-1.83065 + 0.805427i) q^{4} +2.88398i q^{5} +(-1.36351 + 2.03491i) q^{6} +(2.24777 + 1.39554i) q^{7} +(1.64737 + 2.29917i) q^{8} +(-0.0731219 + 2.99911i) q^{9} +(3.99129 - 0.839202i) q^{10} +2.30073i q^{11} +(3.21298 + 1.29490i) q^{12} +(-4.22314 - 2.43823i) q^{13} +(1.27729 - 3.51689i) q^{14} +(3.57492 - 3.48882i) q^{15} +(2.70257 - 2.94891i) q^{16} +(3.54408 + 2.04617i) q^{17} +(4.17190 - 0.771507i) q^{18} +(-0.308511 - 0.534357i) q^{19} +(-2.32283 - 5.27956i) q^{20} +(-0.989299 - 4.47452i) q^{21} +(3.18411 - 0.669485i) q^{22} +8.41949i q^{23} +(0.857136 - 4.82341i) q^{24} -3.31732 q^{25} +(-2.14552 + 6.55413i) q^{26} +(3.80610 - 3.53746i) q^{27} +(-5.23889 - 0.744338i) q^{28} +(-0.811434 - 1.40545i) q^{29} +(-5.86863 - 3.93232i) q^{30} +(-0.821847 - 1.42348i) q^{31} +(-4.86757 - 2.88214i) q^{32} +(2.85195 - 2.78326i) q^{33} +(1.80053 - 5.50025i) q^{34} +(-4.02471 + 6.48251i) q^{35} +(-2.28170 - 5.54922i) q^{36} +(4.02614 + 6.97347i) q^{37} +(-0.649752 + 0.582456i) q^{38} +(2.08646 + 8.18453i) q^{39} +(-6.63074 + 4.75098i) q^{40} +(0.216148 + 0.124793i) q^{41} +(-5.90465 + 2.67117i) q^{42} +(6.51826 - 3.76332i) q^{43} +(-1.85307 - 4.21184i) q^{44} +(-8.64936 - 0.210882i) q^{45} +(11.6522 - 2.44997i) q^{46} +(-1.47573 + 2.55604i) q^{47} +(-6.92479 + 0.217319i) q^{48} +(3.10493 + 6.27371i) q^{49} +(0.965299 + 4.59101i) q^{50} +(-1.75097 - 6.86849i) q^{51} +(9.69493 + 1.06212i) q^{52} +(-4.57041 + 7.91618i) q^{53} +(-6.00321 - 4.23810i) q^{54} -6.63526 q^{55} +(0.494324 + 7.46697i) q^{56} +(-0.289164 + 1.02885i) q^{57} +(-1.70895 + 1.53195i) q^{58} +(-0.762534 - 1.32075i) q^{59} +(-3.73445 + 9.26616i) q^{60} +(-8.38475 - 4.84094i) q^{61} +(-1.73088 + 1.55161i) q^{62} +(-4.34974 + 6.63926i) q^{63} +(-2.57234 + 7.57516i) q^{64} +(7.03181 - 12.1794i) q^{65} +(-4.68178 - 3.13706i) q^{66} +(7.07839 - 4.08671i) q^{67} +(-8.13602 - 0.891338i) q^{68} +(10.4366 - 10.1853i) q^{69} +(10.1426 + 3.68368i) q^{70} -11.6557i q^{71} +(-7.01591 + 4.77252i) q^{72} +(-4.66559 - 2.69368i) q^{73} +(8.47940 - 7.60118i) q^{74} +(4.01305 + 4.11208i) q^{75} +(0.995162 + 0.729738i) q^{76} +(-3.21077 + 5.17152i) q^{77} +(10.7199 - 5.26916i) q^{78} +(-2.05637 - 1.18725i) q^{79} +(8.50460 + 7.79416i) q^{80} +(-8.98931 - 0.438601i) q^{81} +(0.109811 - 0.335451i) q^{82} +(-3.53143 - 6.11661i) q^{83} +(5.41496 + 7.39447i) q^{84} +(-5.90112 + 10.2210i) q^{85} +(-7.10499 - 7.92589i) q^{86} +(-0.760549 + 2.70604i) q^{87} +(-5.28977 + 3.79016i) q^{88} +(12.0481 - 6.95597i) q^{89} +(2.22501 + 12.0317i) q^{90} +(-6.08999 - 11.3742i) q^{91} +(-6.78129 - 15.4132i) q^{92} +(-0.770309 + 2.74077i) q^{93} +(3.96686 + 1.29856i) q^{94} +(1.54107 - 0.889738i) q^{95} +(2.31579 + 9.52035i) q^{96} +(-10.3880 + 5.99749i) q^{97} +(7.77902 - 6.12265i) q^{98} +(-6.90015 - 0.168234i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

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