LMFDB - Embedded newform 912.2.bv.a.11.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [912,2,Mod(11,912)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(912, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 3, 6, 8]))

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

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

chi := DirichletCharacter("912.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 912 = 2^{4} \cdot 3 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	912.bv (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$7.28235666434$
Analytic rank:	$1$
Dimension:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{12})$
Coefficient field:	8.0.303595776.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} + 5x^{6} + 16x^{4} + 45x^{2} + 81 $ x^8 + 5x^6 + 16x^4 + 45*x^2 + 81
Coefficient ring:	$\Z[a_1, \ldots, a_{19}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			11.2
Root			$0.396143 - 1.68614i$ of defining polynomial
Character	$\chi$	$=$	912.11
Dual form			912.2.bv.a.83.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.366025 + 1.36603i) q^{2} +(0.396143 - 1.68614i) q^{3} +(-1.73205 + 1.00000i) q^{4} +(0.732051 + 2.73205i) q^{5} +(2.44831 - 0.0760282i) q^{6} -2.00000 q^{7} +(-2.00000 - 2.00000i) q^{8} +(-2.68614 - 1.33591i) q^{9} +O(q^{10})$	\(q+(0.366025 + 1.36603i) q^{2} +(0.396143 - 1.68614i) q^{3} +(-1.73205 + 1.00000i) q^{4} +(0.732051 + 2.73205i) q^{5} +(2.44831 - 0.0760282i) q^{6} -2.00000 q^{7} +(-2.00000 - 2.00000i) q^{8} +(-2.68614 - 1.33591i) q^{9} +(-3.46410 + 2.00000i) q^{10} +(0.158312 + 0.158312i) q^{11} +(1.00000 + 3.31662i) q^{12} +(-4.53059 - 1.21397i) q^{13} +(-0.732051 - 2.73205i) q^{14} +(4.89662 - 0.152056i) q^{15} +(2.00000 - 3.46410i) q^{16} +(-3.46410 - 2.00000i) q^{17} +(0.841688 - 4.15831i) q^{18} +(-4.15602 + 1.31433i) q^{19} +(-4.00000 - 4.00000i) q^{20} +(-0.792287 + 3.37228i) q^{21} +(-0.158312 + 0.274205i) q^{22} +(3.73831 - 2.15831i) q^{23} +(-4.16457 + 2.57999i) q^{24} +(-2.59808 + 1.50000i) q^{25} -6.63325i q^{26} +(-3.31662 + 4.00000i) q^{27} +(3.46410 - 2.00000i) q^{28} +(2.31205 - 8.62867i) q^{29} +(2.00000 + 6.63325i) q^{30} +3.68338i q^{31} +(5.46410 + 1.46410i) q^{32} +(0.329651 - 0.204223i) q^{33} +(1.46410 - 5.46410i) q^{34} +(-1.46410 - 5.46410i) q^{35} +(5.98844 - 0.372281i) q^{36} +(-7.31662 - 7.31662i) q^{37} +(-3.31662 - 5.19615i) q^{38} +(-3.84169 + 7.15831i) q^{39} +(4.00000 - 6.92820i) q^{40} +(-4.65831 + 8.06843i) q^{41} +(-4.89662 + 0.152056i) q^{42} +(2.79396 + 10.4272i) q^{43} +(-0.432518 - 0.115893i) q^{44} +(1.68338 - 8.31662i) q^{45} +(4.31662 + 4.31662i) q^{46} +(-1.00000 - 1.73205i) q^{47} +(-5.04868 - 4.74456i) q^{48} -3.00000 q^{49} +(-3.00000 - 3.00000i) q^{50} +(-4.74456 + 5.04868i) q^{51} +(9.06119 - 2.42794i) q^{52} +(7.69516 + 2.06191i) q^{53} +(-6.67807 - 3.06649i) q^{54} +(-0.316625 + 0.548410i) q^{55} +(4.00000 + 4.00000i) q^{56} +(0.569772 + 7.52830i) q^{57} +12.6332 q^{58} +(-2.94831 + 0.789997i) q^{59} +(-8.32914 + 5.15999i) q^{60} +(-6.32914 - 1.69589i) q^{61} +(-5.03158 + 1.34821i) q^{62} +(5.37228 + 2.67181i) q^{63} +8.00000i q^{64} -13.2665i q^{65} +(0.399634 + 0.375562i) q^{66} +(-1.27192 + 4.74685i) q^{67} +8.00000 q^{68} +(-2.15831 - 7.15831i) q^{69} +(6.92820 - 4.00000i) q^{70} +(2.00626 + 1.15831i) q^{71} +(2.70047 + 8.04410i) q^{72} +(-5.78797 - 3.34169i) q^{73} +(7.31662 - 12.6728i) q^{74} +(1.50000 + 4.97494i) q^{75} +(5.88411 - 6.43252i) q^{76} +(-0.316625 - 0.316625i) q^{77} +(-11.1846 - 2.62772i) q^{78} +(-5.74456 - 3.31662i) q^{79} +(10.9282 + 2.92820i) q^{80} +(5.43070 + 7.17687i) q^{81} +(-12.7267 - 3.41012i) q^{82} +(-0.841688 + 0.841688i) q^{83} +(-2.00000 - 6.63325i) q^{84} +(2.92820 - 10.9282i) q^{85} +(-13.2212 + 7.63325i) q^{86} +(-13.6332 - 7.31662i) q^{87} -0.633250i q^{88} +(-6.63325 - 11.4891i) q^{89} +(11.9769 - 0.744563i) q^{90} +(9.06119 + 2.42794i) q^{91} +(-4.31662 + 7.47661i) q^{92} +(6.21069 + 1.45915i) q^{93} +(2.00000 - 2.00000i) q^{94} +(-6.63325 - 10.3923i) q^{95} +(4.63325 - 8.63325i) q^{96} +(-4.97494 + 8.61684i) q^{97} +(-1.09808 - 4.09808i) q^{98} +(-0.213759 - 0.636740i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q - 4 q^{2} - 8 q^{5} - 2 q^{6} - 16 q^{7} - 16 q^{8} - 10 q^{9}+O(q^{10}) $ 8 * q - 4 * q^2 - 8 * q^5 - 2 * q^6 - 16 * q^7 - 16 * q^8 - 10 * q^9	$ 8 q - 4 q^{2} - 8 q^{5} - 2 q^{6} - 16 q^{7} - 16 q^{8} - 10 q^{9} - 12 q^{11} + 8 q^{12} + 8 q^{14} - 4 q^{15} + 16 q^{16} + 20 q^{18} - 18 q^{19} - 32 q^{20} + 12 q^{22} - 4 q^{24} - 12 q^{29} + 16 q^{30} + 16 q^{32} + 8 q^{33} - 16 q^{34} + 16 q^{35} - 32 q^{37} - 44 q^{39} + 32 q^{40} - 24 q^{41} + 4 q^{42} - 4 q^{43} + 12 q^{44} + 40 q^{45} + 8 q^{46} - 8 q^{47} - 24 q^{49} - 24 q^{50} + 8 q^{51} - 4 q^{53} - 16 q^{54} + 24 q^{55} + 32 q^{56} + 22 q^{57} + 48 q^{58} - 2 q^{59} - 8 q^{60} + 8 q^{61} - 28 q^{62} + 20 q^{63} + 22 q^{66} - 6 q^{67} + 64 q^{68} - 4 q^{69} + 20 q^{72} + 32 q^{74} + 12 q^{75} + 36 q^{76} + 24 q^{77} + 32 q^{80} - 14 q^{81} - 24 q^{82} - 20 q^{83} - 16 q^{84} - 32 q^{85} - 56 q^{87} - 8 q^{92} + 14 q^{93} + 16 q^{94} - 16 q^{96} + 12 q^{98} + 4 q^{99}+O(q^{100}) $ 8 * q - 4 * q^2 - 8 * q^5 - 2 * q^6 - 16 * q^7 - 16 * q^8 - 10 * q^9 - 12 * q^11 + 8 * q^12 + 8 * q^14 - 4 * q^15 + 16 * q^16 + 20 * q^18 - 18 * q^19 - 32 * q^20 + 12 * q^22 - 4 * q^24 - 12 * q^29 + 16 * q^30 + 16 * q^32 + 8 * q^33 - 16 * q^34 + 16 * q^35 - 32 * q^37 - 44 * q^39 + 32 * q^40 - 24 * q^41 + 4 * q^42 - 4 * q^43 + 12 * q^44 + 40 * q^45 + 8 * q^46 - 8 * q^47 - 24 * q^49 - 24 * q^50 + 8 * q^51 - 4 * q^53 - 16 * q^54 + 24 * q^55 + 32 * q^56 + 22 * q^57 + 48 * q^58 - 2 * q^59 - 8 * q^60 + 8 * q^61 - 28 * q^62 + 20 * q^63 + 22 * q^66 - 6 * q^67 + 64 * q^68 - 4 * q^69 + 20 * q^72 + 32 * q^74 + 12 * q^75 + 36 * q^76 + 24 * q^77 + 32 * q^80 - 14 * q^81 - 24 * q^82 - 20 * q^83 - 16 * q^84 - 32 * q^85 - 56 * q^87 - 8 * q^92 + 14 * q^93 + 16 * q^94 - 16 * q^96 + 12 * q^98 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/912\mathbb{Z}\right)^\times$.

$n$	$97$	$229$	$305$	$799$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{4}\right)$	$-1$	$-1$

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 $

$2$	0.366025	+	1.36603i	0.258819	+	0.965926i
$2$	0.366025	+	1.36603i	0.258819	+	0.965926i
$3$	0.396143	−	1.68614i	0.228714	−	0.973494i
$3$	0.396143	−	1.68614i	0.228714	−	0.973494i
$4$	−1.73205	+	1.00000i	−0.866025	+	0.500000i
$5$	0.732051	+	2.73205i	0.327383	+	1.22181i	0.911894	+	0.410425i	$0.134620\pi$
$5$	0.732051	+	2.73205i	0.327383	+	1.22181i	−0.584511	+	0.811386i	$0.698714\pi$
$6$	2.44831	−	0.0760282i	0.999518	−	0.0310384i
$7$	−2.00000			−0.755929			−0.377964	−	0.925820i	$-0.623376\pi$
$7$	−2.00000			−0.755929			−0.377964	+	0.925820i	$0.623376\pi$
$8$	−2.00000	−	2.00000i	−0.707107	−	0.707107i
$9$	−2.68614	−	1.33591i	−0.895380	−	0.445302i
$10$	−3.46410	+	2.00000i	−1.09545	+	0.632456i
$11$	0.158312	+	0.158312i	0.0477330	+	0.0477330i	0.730570	−	0.682837i	$-0.239254\pi$
$11$	0.158312	+	0.158312i	0.0477330	+	0.0477330i	−0.682837	+	0.730570i	$0.739254\pi$
$12$	1.00000	+	3.31662i	0.288675	+	0.957427i
$13$	−4.53059	−	1.21397i	−1.25656	−	0.336694i	−0.431693	−	0.902021i	$-0.642084\pi$
$13$	−4.53059	−	1.21397i	−1.25656	−	0.336694i	−0.824867	+	0.565326i	$0.808750\pi$
$14$	−0.732051	−	2.73205i	−0.195649	−	0.730171i
$15$	4.89662	−	0.152056i	1.26430	−	0.0392608i
$16$	2.00000	−	3.46410i	0.500000	−	0.866025i
$17$	−3.46410	−	2.00000i	−0.840168	−	0.485071i	0.0171533	−	0.999853i	$-0.494540\pi$
$17$	−3.46410	−	2.00000i	−0.840168	−	0.485071i	−0.857321	+	0.514782i	$0.827873\pi$
$18$	0.841688	−	4.15831i	0.198388	−	0.980124i
$19$	−4.15602	+	1.31433i	−0.953457	+	0.301529i
$19$	−4.15602	+	1.31433i	−0.953457	+	0.301529i
$20$	−4.00000	−	4.00000i	−0.894427	−	0.894427i
$21$	−0.792287	+	3.37228i	−0.172891	+	0.735892i
$22$	−0.158312	+	0.274205i	−0.0337523	+	0.0584607i
$23$	3.73831	−	2.15831i	0.779491	−	0.450039i	−0.0567590	−	0.998388i	$-0.518077\pi$
$23$	3.73831	−	2.15831i	0.779491	−	0.450039i	0.836250	+	0.548349i	$0.184743\pi$
$24$	−4.16457	+	2.57999i	−0.850089	+	0.526639i
$25$	−2.59808	+	1.50000i	−0.519615	+	0.300000i
$26$		−	6.63325i		−	1.30089i
$27$	−3.31662	+	4.00000i	−0.638285	+	0.769800i
$28$	3.46410	−	2.00000i	0.654654	−	0.377964i
$29$	2.31205	−	8.62867i	0.429336	−	1.60230i	−0.324932	−	0.945737i	$-0.605341\pi$
$29$	2.31205	−	8.62867i	0.429336	−	1.60230i	0.754268	−	0.656566i	$-0.227992\pi$
$30$	2.00000	+	6.63325i	0.365148	+	1.21106i
$31$			3.68338i			0.661554i	0.943709	+	0.330777i	$0.107311\pi$
$31$			3.68338i			0.661554i	−0.943709	+	0.330777i	$0.892689\pi$
$32$	5.46410	+	1.46410i	0.965926	+	0.258819i
$33$	0.329651	−	0.204223i	0.0573849	−	0.0355506i
$34$	1.46410	−	5.46410i	0.251091	−	0.937086i
$35$	−1.46410	−	5.46410i	−0.247478	−	0.923602i
$36$	5.98844	−	0.372281i	0.998073	−	0.0620469i
$37$	−7.31662	−	7.31662i	−1.20285	−	1.20285i	−0.973297	−	0.229548i	$-0.926275\pi$
$37$	−7.31662	−	7.31662i	−1.20285	−	1.20285i	−0.229548	−	0.973297i	$-0.573725\pi$
$38$	−3.31662	−	5.19615i	−0.538028	−	0.842927i
$39$	−3.84169	+	7.15831i	−0.615162	+	1.14625i
$40$	4.00000	−	6.92820i	0.632456	−	1.09545i
$41$	−4.65831	+	8.06843i	−0.727506	+	1.26008i	0.230428	+	0.973089i	$0.425987\pi$
$41$	−4.65831	+	8.06843i	−0.727506	+	1.26008i	−0.957934	+	0.286988i	$0.907346\pi$
$42$	−4.89662	+	0.152056i	−0.755565	+	0.0234628i
$43$	2.79396	+	10.4272i	0.426075	+	1.59014i	0.761563	+	0.648091i	$0.224432\pi$
$43$	2.79396	+	10.4272i	0.426075	+	1.59014i	−0.335488	+	0.942045i	$0.608901\pi$
$44$	−0.432518	−	0.115893i	−0.0652045	−	0.0174715i
$45$	1.68338	−	8.31662i	0.250943	−	1.23977i
$46$	4.31662	+	4.31662i	0.636452	+	0.636452i
$47$	−1.00000	−	1.73205i	−0.145865	−	0.252646i	0.783830	−	0.620975i	$-0.213263\pi$
$47$	−1.00000	−	1.73205i	−0.145865	−	0.252646i	−0.929695	+	0.368329i	$0.879930\pi$
$48$	−5.04868	−	4.74456i	−0.728714	−	0.684819i
$49$	−3.00000			−0.428571
$50$	−3.00000	−	3.00000i	−0.424264	−	0.424264i
$51$	−4.74456	+	5.04868i	−0.664372	+	0.706956i
$52$	9.06119	−	2.42794i	1.25656	−	0.336694i
$53$	7.69516	+	2.06191i	1.05701	+	0.283225i	0.745146	−	0.666901i	$-0.232380\pi$
$53$	7.69516	+	2.06191i	1.05701	+	0.283225i	0.311865	+	0.950126i	$0.399046\pi$
$54$	−6.67807	−	3.06649i	−0.908770	−	0.417297i
$55$	−0.316625	+	0.548410i	−0.0426937	+	0.0739476i
$56$	4.00000	+	4.00000i	0.534522	+	0.534522i
$57$	0.569772	+	7.52830i	0.0754682	+	0.997148i
$58$	12.6332			1.65883
$59$	−2.94831	+	0.789997i	−0.383837	+	0.102849i	−0.445577	−	0.895243i	$-0.647002\pi$
$59$	−2.94831	+	0.789997i	−0.383837	+	0.102849i	0.0617403	+	0.998092i	$0.480335\pi$
$60$	−8.32914	+	5.15999i	−1.07529	+	0.666152i
$61$	−6.32914	−	1.69589i	−0.810363	−	0.217136i	−0.170234	−	0.985404i	$-0.554452\pi$
$61$	−6.32914	−	1.69589i	−0.810363	−	0.217136i	−0.640129	+	0.768268i	$0.721119\pi$
$62$	−5.03158	+	1.34821i	−0.639012	+	0.171223i
$63$	5.37228	+	2.67181i	0.676844	+	0.336617i
$64$			8.00000i			1.00000i
$65$		−	13.2665i		−	1.64551i
$66$	0.399634	+	0.375562i	0.0491915	+	0.0462284i
$67$	−1.27192	+	4.74685i	−0.155389	+	0.579920i	0.843683	+	0.536842i	$0.180383\pi$
$67$	−1.27192	+	4.74685i	−0.155389	+	0.579920i	−0.999072	+	0.0430779i	$0.986284\pi$
$68$	8.00000			0.970143
$69$	−2.15831	−	7.15831i	−0.259830	−	0.861760i
$70$	6.92820	−	4.00000i	0.828079	−	0.478091i
$71$	2.00626	+	1.15831i	0.238099	+	0.137466i	0.614303	−	0.789071i	$-0.289437\pi$
$71$	2.00626	+	1.15831i	0.238099	+	0.137466i	−0.376204	+	0.926537i	$0.622771\pi$
$72$	2.70047	+	8.04410i	0.318253	+	0.948006i
$73$	−5.78797	−	3.34169i	−0.677431	−	0.391115i	0.121455	−	0.992597i	$-0.461244\pi$
$73$	−5.78797	−	3.34169i	−0.677431	−	0.391115i	−0.798886	+	0.601482i	$0.794577\pi$
$74$	7.31662	−	12.6728i	0.850540	−	1.47318i
$75$	1.50000	+	4.97494i	0.173205	+	0.574456i
$76$	5.88411	−	6.43252i	0.674953	−	0.737860i
$77$	−0.316625	−	0.316625i	−0.0360827	−	0.0360827i
$78$	−11.1846	−	2.62772i	−1.26641	−	0.297531i
$79$	−5.74456	−	3.31662i	−0.646314	−	0.373149i	0.140729	−	0.990048i	$-0.455055\pi$
$79$	−5.74456	−	3.31662i	−0.646314	−	0.373149i	−0.787043	+	0.616899i	$0.788389\pi$
$80$	10.9282	+	2.92820i	1.22181	+	0.327383i
$81$	5.43070	+	7.17687i	0.603411	+	0.797430i
$82$	−12.7267	−	3.41012i	−1.40543	−	0.376585i
$83$	−0.841688	+	0.841688i	−0.0923872	+	0.0923872i	−0.751790	−	0.659403i	$-0.770809\pi$
$83$	−0.841688	+	0.841688i	−0.0923872	+	0.0923872i	0.659403	+	0.751790i	$0.270809\pi$
$84$	−2.00000	−	6.63325i	−0.218218	−	0.723747i
$85$	2.92820	−	10.9282i	0.317608	−	1.18533i
$86$	−13.2212	+	7.63325i	−1.42568	+	0.823114i
$87$	−13.6332	−	7.31662i	−1.46164	−	0.784425i
$88$		−	0.633250i		−	0.0675046i
$89$	−6.63325	−	11.4891i	−0.703123	−	1.21784i	−0.967365	−	0.253388i	$-0.918455\pi$
$89$	−6.63325	−	11.4891i	−0.703123	−	1.21784i	0.264242	−	0.964457i	$-0.414878\pi$
$90$	11.9769	−	0.744563i	1.26247	−	0.0784838i
$91$	9.06119	+	2.42794i	0.949871	+	0.254517i
$92$	−4.31662	+	7.47661i	−0.450039	+	0.779491i
$93$	6.21069	+	1.45915i	0.644018	+	0.151306i
$94$	2.00000	−	2.00000i	0.206284	−	0.206284i
$95$	−6.63325	−	10.3923i	−0.680557	−	1.06623i
$96$	4.63325	−	8.63325i	0.472879	−	0.881127i
$97$	−4.97494	+	8.61684i	−0.505128	+	0.874908i	0.494854	+	0.868976i	$0.335222\pi$
$97$	−4.97494	+	8.61684i	−0.505128	+	0.874908i	−0.999982	+	0.00593185i	$0.998112\pi$
$98$	−1.09808	−	4.09808i	−0.110922	−	0.413968i
$99$	−0.213759	−	0.636740i	−0.0214836	−	0.0639948i
$100$	3.00000	−	5.19615i	0.300000	−	0.519615i
$101$	−13.6603	−	3.66025i	−1.35925	−	0.364209i	−0.495707	−	0.868490i	$-0.665091\pi$
$101$	−13.6603	−	3.66025i	−1.35925	−	0.364209i	−0.863540	+	0.504281i	$0.831758\pi$
$102$	−8.63325	−	4.63325i	−0.854819	−	0.458760i
$103$	8.31662			0.819461			0.409731	−	0.912207i	$-0.365623\pi$
$103$	8.31662			0.819461			0.409731	+	0.912207i	$0.365623\pi$
$104$	6.63325	+	11.4891i	0.650444	+	1.12660i
$105$	−9.79324	+	0.304113i	−0.955722	+	0.0296784i
$106$			11.2665i			1.09430i
$107$	5.94987	+	5.94987i	0.575196	+	0.575196i	0.933576	−	0.358380i	$-0.116671\pi$
$107$	5.94987	+	5.94987i	0.575196	+	0.575196i	−0.358380	+	0.933576i	$0.616671\pi$
$108$	1.74456	−	10.2448i	0.167871	−	0.985809i
$109$	1.57999	+	5.89662i	0.151336	+	0.564794i	0.999391	+	0.0348859i	$0.0111068\pi$
$109$	1.57999	+	5.89662i	0.151336	+	0.564794i	−0.848055	+	0.529908i	$0.822227\pi$
$110$	−0.865035	−	0.231785i	−0.0824779	−	0.0220999i
$111$	−15.2353	+	9.43843i	−1.44607	+	0.895856i
$112$	−4.00000	+	6.92820i	−0.377964	+	0.654654i
$113$			17.9499i			1.68858i	0.535885	+	0.844291i	$0.319978\pi$
$113$			17.9499i			1.68858i	−0.535885	+	0.844291i	$0.680022\pi$
$114$	−10.0753	+	3.53387i	−0.943639	+	0.330978i
$115$	8.63325	+	8.63325i	0.805055	+	0.805055i
$116$	4.62409	+	17.2573i	0.429336	+	1.60230i
$117$	10.5481	+	9.31334i	0.975169	+	0.861019i
$118$	−2.15831	−	3.73831i	−0.198689	−	0.344139i
$119$	6.92820	+	4.00000i	0.635107	+	0.366679i
$120$	−10.0974	−	9.48913i	−0.921758	−	0.866235i
$121$		−	10.9499i		−	0.995443i
$122$		−	9.26650i		−	0.838949i
$123$	11.7592	+	11.0508i	1.06029	+	0.996420i
$124$	−3.68338	−	6.37979i	−0.330777	−	0.572922i
$125$	4.00000	+	4.00000i	0.357771	+	0.357771i
$126$	−1.68338	+	8.31662i	−0.149967	+	0.740904i
$127$	12.9470	−	7.47494i	1.14886	−	0.663293i	0.200249	−	0.979745i	$-0.435825\pi$
$127$	12.9470	−	7.47494i	1.14886	−	0.663293i	0.948609	+	0.316452i	$0.102491\pi$
$128$	−10.9282	+	2.92820i	−0.965926	+	0.258819i
$129$	18.6886	−	0.580343i	1.64544	−	0.0510963i
$130$	18.1224	−	4.85588i	1.58944	−	0.425888i
$131$	−0.905890	−	3.38083i	−0.0791480	−	0.295384i	0.914994	−	0.403468i	$-0.132195\pi$
$131$	−0.905890	−	3.38083i	−0.0791480	−	0.295384i	−0.994142	+	0.108084i	$0.965529\pi$
$132$	−0.366750	+	0.683375i	−0.0319215	+	0.0594802i
$133$	8.31205	−	2.62867i	0.720746	−	0.227935i
$134$	−6.94987			−0.600378
$135$	−13.3561	−	6.13298i	−1.14951	−	0.527843i
$136$	2.92820	+	10.9282i	0.251091	+	0.937086i
$137$	1.65831	+	2.87228i	0.141679	+	0.245396i	0.928129	−	0.372259i	$-0.121417\pi$
$137$	1.65831	+	2.87228i	0.141679	+	0.245396i	−0.786450	+	0.617654i	$0.788083\pi$
$138$	8.98844	−	5.56843i	0.765147	−	0.474017i
$139$	−18.8396	−	5.04806i	−1.59796	−	0.428171i	−0.653532	−	0.756899i	$-0.726713\pi$
$139$	−18.8396	−	5.04806i	−1.59796	−	0.428171i	−0.944425	+	0.328728i	$0.893380\pi$
$140$	8.00000	+	8.00000i	0.676123	+	0.676123i
$141$	−3.31662	+	1.00000i	−0.279310	+	0.0842152i
$142$	−0.847944	+	3.16457i	−0.0711578	+	0.265565i
$143$	−0.525063	−	0.909435i	−0.0439080	−	0.0760508i
$144$	−10.0000	+	6.63325i	−0.833333	+	0.552771i
$145$	25.2665			2.09827
$146$	2.44629	−	9.12966i	0.202456	−	0.755576i
$147$	−1.18843	+	5.05842i	−0.0980201	+	0.417212i
$148$	19.9894	+	5.35614i	1.64312	+	0.440272i
$149$	1.94602	+	7.26264i	0.159424	+	0.594979i	0.998686	+	0.0512512i	$0.0163209\pi$
$149$	1.94602	+	7.26264i	0.159424	+	0.594979i	−0.839262	+	0.543728i	$0.817012\pi$
$150$	−6.24685	+	3.86999i	−0.510053	+	0.315983i
$151$	22.2164			1.80794			0.903971	−	0.427593i	$-0.140638\pi$
$151$	22.2164			1.80794			0.903971	+	0.427593i	$0.140638\pi$
$152$	10.9407	+	5.68338i	0.887409	+	0.460983i
$153$	6.63325	+	10.0000i	0.536266	+	0.808452i
$154$	0.316625	−	0.548410i	0.0255144	−	0.0441922i
$155$	−10.0632	+	2.69642i	−0.808293	+	0.216581i
$156$	−0.504314	−	16.2402i	−0.0403775	−	1.30026i
$157$	4.73998	+	17.6899i	0.378292	+	1.41180i	0.848475	+	0.529235i	$0.177521\pi$
$157$	4.73998	+	17.6899i	0.378292	+	1.41180i	−0.470183	+	0.882569i	$0.655812\pi$
$158$	2.42794	−	9.06119i	0.193156	−	0.720869i
$159$	6.52506	−	12.1583i	0.517471	−	0.964217i
$160$			16.0000i			1.26491i
$161$	−7.47661	+	4.31662i	−0.589240	+	0.340198i
$162$	−7.81601	+	10.0454i	−0.614084	+	0.789241i
$163$	−9.79156	−	9.79156i	−0.766934	−	0.766934i	0.210631	−	0.977566i	$-0.432448\pi$
$163$	−9.79156	−	9.79156i	−0.766934	−	0.766934i	−0.977566	+	0.210631i	$0.932448\pi$
$164$		−	18.6332i		−	1.45501i
$165$	0.799268	+	0.751123i	0.0622229	+	0.0584749i
$166$	−1.45785	−	0.841688i	−0.113151	−	0.0653276i
$167$	5.74456	−	3.31662i	0.444528	−	0.256648i	−0.260989	−	0.965342i	$-0.584049\pi$
$167$	5.74456	−	3.31662i	0.444528	−	0.256648i	0.705516	+	0.708694i	$0.250715\pi$
$168$	8.32914	−	5.15999i	0.642607	−	0.398102i
$169$	7.79423	+	4.50000i	0.599556	+	0.346154i
$170$	16.0000			1.22714
$171$	12.9195	+	2.02157i	0.987978	+	0.154594i
$172$	−15.2665	−	15.2665i	−1.16406	−	1.16406i
$173$	8.12768	−	2.17781i	0.617936	−	0.165575i	0.0637467	−	0.997966i	$-0.479695\pi$
$173$	8.12768	−	2.17781i	0.617936	−	0.165575i	0.554189	+	0.832391i	$0.313028\pi$
$174$	5.00458	−	21.3014i	0.379396	−	1.61486i
$175$	5.19615	−	3.00000i	0.392792	−	0.226779i
$176$	0.865035	−	0.231785i	0.0652045	−	0.0174715i
$177$	0.164093	+	5.28422i	0.0123340	+	0.397186i
$178$	13.2665	−	13.2665i	0.994366	−	0.994366i
$179$	−11.1082	+	11.1082i	−0.830265	+	0.830265i	−0.987553	−	0.157288i	$-0.949725\pi$
$179$	−11.1082	+	11.1082i	−0.830265	+	0.830265i	0.157288	+	0.987553i	$0.449725\pi$
$180$	5.40093	+	16.0882i	0.402562	+	1.19914i
$181$	−0.481918	+	1.79854i	−0.0358207	+	0.133685i	−0.981521	−	0.191356i	$-0.938711\pi$
$181$	−0.481918	+	1.79854i	−0.0358207	+	0.133685i	0.945700	+	0.325041i	$0.105378\pi$
$182$			13.2665i			0.983378i
$183$	−5.36675	+	10.0000i	−0.396722	+	0.739221i
$184$	−11.7932	−	3.15999i	−0.869409	−	0.232957i
$185$	14.6332	−	25.3455i	1.07586	−	1.86344i
$186$	0.280041	+	9.01804i	0.0205336	+	0.661235i
$187$	−0.231785	−	0.865035i	−0.0169498	−	0.0632576i
$188$	3.46410	+	2.00000i	0.252646	+	0.145865i
$189$	6.63325	−	8.00000i	0.482498	−	0.581914i
$190$	11.7682	−	12.8650i	0.853756	−	0.933328i
$191$	10.6332			0.769395			0.384697	−	0.923043i	$-0.374306\pi$
$191$	10.6332			0.769395			0.384697	+	0.923043i	$0.374306\pi$
$192$	13.4891	+	3.16915i	0.973494	+	0.228714i
$193$	3.63325	−	6.29297i	0.261527	−	0.452978i	−0.705121	−	0.709087i	$-0.749107\pi$
$193$	3.63325	−	6.29297i	0.261527	−	0.452978i	0.966648	+	0.256109i	$0.0824406\pi$
$194$	−13.5918	−	3.64191i	−0.975833	−	0.261474i
$195$	−22.3692	−	5.25544i	−1.60189	−	0.376350i
$196$	5.19615	−	3.00000i	0.371154	−	0.214286i
$197$	−2.68338	+	2.68338i	−0.191183	+	0.191183i	−0.796207	−	0.605024i	$-0.793163\pi$
$197$	−2.68338	+	2.68338i	−0.191183	+	0.191183i	0.605024	+	0.796207i	$0.293163\pi$
$198$	0.791562	−	0.525063i	0.0562539	−	0.0373146i
$199$	7.47494	+	12.9470i	0.529884	+	0.917786i	0.999392	+	0.0348582i	$0.0110980\pi$
$199$	7.47494	+	12.9470i	0.529884	+	0.917786i	−0.469508	+	0.882928i	$0.655569\pi$
$200$	8.19615	+	2.19615i	0.579555	+	0.155291i
$201$	7.50000	+	4.02506i	0.529009	+	0.283906i
$202$		−	20.0000i		−	1.40720i
$203$	−4.62409	+	17.2573i	−0.324548	+	1.21123i
$204$	3.16915	−	13.4891i	0.221885	−	0.944428i
$205$	−25.4535	−	6.82024i	−1.77775	−	0.476346i
$206$	3.04410	+	11.3607i	0.212092	+	0.791539i
$207$	−12.9249	+	0.803499i	−0.898344	+	0.0558471i
$208$	−13.2665	+	13.2665i	−0.919866	+	0.919866i
$209$	−0.866025	−	0.449874i	−0.0599042	−	0.0311185i
$210$	−4.00000	−	13.2665i	−0.276026	−	0.915475i
$211$	4.09808	−	1.09808i	0.282123	−	0.0755947i	−0.114983	−	0.993367i	$-0.536681\pi$
$211$	4.09808	−	1.09808i	0.282123	−	0.0755947i	0.397106	+	0.917773i	$0.370015\pi$
$212$	−15.3903	+	4.12382i	−1.05701	+	0.283225i
$213$	2.74784	−	2.92397i	0.188279	−	0.200347i
$214$	−5.94987	+	10.3055i	−0.406725	+	0.704468i
$215$	−26.4424	+	15.2665i	−1.80335	+	1.04117i
$216$	14.6332	−	1.36675i	0.995667	−	0.0929956i
$217$		−	7.36675i		−	0.500088i
$218$	−7.47661	+	4.31662i	−0.506380	+	0.292359i
$219$	−7.92742	+	8.43555i	−0.535686	+	0.570022i
$220$		−	1.26650i		−	0.0853874i
$221$	13.2665	+	13.2665i	0.892401	+	0.892401i
$222$	−18.4696	−	17.3571i	−1.23960	−	1.16493i
$223$	4.37354	+	2.52506i	0.292874	+	0.169091i	0.639237	−	0.769010i	$-0.279250\pi$
$223$	4.37354	+	2.52506i	0.292874	+	0.169091i	−0.346363	+	0.938100i	$0.612584\pi$
$224$	−10.9282	−	2.92820i	−0.730171	−	0.195649i
$225$	8.98266	−	0.558422i	0.598844	−	0.0372281i
$226$	−24.5200	+	6.57011i	−1.63105	+	0.437037i
$227$	−8.52506	+	8.52506i	−0.565828	+	0.565828i	−0.930957	−	0.365129i	$-0.881025\pi$
$227$	−8.52506	+	8.52506i	−0.565828	+	0.565828i	0.365129	+	0.930957i	$0.381025\pi$
$228$	−8.51518	−	12.4696i	−0.563931	−	0.825822i
$229$	−5.68338	−	5.68338i	−0.375568	−	0.375568i	0.493932	−	0.869500i	$-0.335559\pi$
$229$	−5.68338	−	5.68338i	−0.375568	−	0.375568i	−0.869500	+	0.493932i	$0.835559\pi$
$230$	−8.63325	+	14.9532i	−0.569260	+	0.985987i
$231$	−0.659303	+	0.408445i	−0.0433789	+	0.0268737i
$232$	−21.8814	+	12.6332i	−1.43659	+	0.829413i
$233$	−1.18338	+	2.04967i	−0.0775255	+	0.134278i	−0.902182	−	0.431356i	$-0.858035\pi$
$233$	−1.18338	+	2.04967i	−0.0775255	+	0.134278i	0.824656	+	0.565634i	$0.191369\pi$
$234$	−8.86141	+	17.8178i	−0.579288	+	1.16479i
$235$	4.00000	−	4.00000i	0.260931	−	0.260931i
$236$	4.31662	−	4.31662i	0.280988	−	0.280988i
$237$	−7.86797	+	8.37228i	−0.511079	+	0.543838i
$238$	−2.92820	+	10.9282i	−0.189807	+	0.708370i
$239$	−3.36675			−0.217777			−0.108888	−	0.994054i	$-0.534729\pi$
$239$	−3.36675			−0.217777			−0.108888	+	0.994054i	$0.534729\pi$
$240$	9.26650	−	17.2665i	0.598150	−	1.11455i
$241$	−6.29156	−	10.8973i	−0.405275	−	0.701957i	0.589078	−	0.808076i	$-0.299491\pi$
$241$	−6.29156	−	10.8973i	−0.405275	−	0.701957i	−0.994353	+	0.106119i	$0.966158\pi$
$242$	14.9578	−	4.00793i	0.961524	−	0.257640i
$243$	14.2525	−	6.31386i	0.914302	−	0.405034i
$244$	12.6583	−	3.39177i	0.810363	−	0.217136i
$245$	−2.19615	−	8.19615i	−0.140307	−	0.523633i
$246$	−10.7916	+	20.1082i	−0.688045	+	1.28205i
$247$	20.4248	−	0.909435i	1.29960	−	0.0578660i
$248$	7.36675	−	7.36675i	0.467789	−	0.467789i
$249$	1.08577	+	1.75263i	0.0688082	+	0.111069i
$250$	−4.00000	+	6.92820i	−0.252982	+	0.438178i
$251$	−2.50423	+	9.34592i	−0.158066	+	0.589909i	0.840758	+	0.541412i	$0.182110\pi$
$251$	−2.50423	+	9.34592i	−0.158066	+	0.589909i	−0.998823	+	0.0484975i	$0.984557\pi$
$252$	−11.9769	+	0.744563i	−0.754472	+	0.0469030i
$253$	0.933508	+	0.250133i	0.0586891	+	0.0157257i
$254$	14.9499	+	14.9499i	0.938039	+	0.938039i
$255$	−17.2665	−	9.26650i	−1.08127	−	0.580291i
$256$	−8.00000	−	13.8564i	−0.500000	−	0.866025i
$257$	25.9374	−	14.9749i	1.61793	−	0.934111i	0.630472	−	0.776212i	$-0.282861\pi$
$257$	25.9374	−	14.9749i	1.61793	−	0.934111i	0.987455	−	0.157899i	$-0.0504721\pi$
$258$	7.63325	+	25.3166i	0.475225	+	1.57614i
$259$	14.6332	+	14.6332i	0.909266	+	0.909266i
$260$	13.2665	+	22.9783i	0.822753	+	1.42505i
$261$	−17.7376	+	20.0891i	−1.09793	+	1.24349i
$262$	4.28672	−	2.47494i	0.264834	−	0.152902i
$263$	−21.3330	−	12.3166i	−1.31545	−	0.759476i	−0.332457	−	0.943118i	$-0.607878\pi$
$263$	−21.3330	−	12.3166i	−1.31545	−	0.759476i	−0.982993	+	0.183643i	$0.941211\pi$
$264$	−1.06775	−	0.250858i	−0.0657153	−	0.0154392i
$265$			22.5330i			1.38419i
$266$	6.63325	+	10.3923i	0.406711	+	0.637193i
$267$	−22.0000	+	6.63325i	−1.34638	+	0.405948i
$268$	−2.54383	−	9.49370i	−0.155389	−	0.579920i
$269$	7.76363	−	2.08026i	0.473357	−	0.126836i	−0.0142506	−	0.999898i	$-0.504536\pi$
$269$	7.76363	−	2.08026i	0.473357	−	0.126836i	0.487608	+	0.873063i	$0.337870\pi$
$270$	3.48913	−	20.4897i	0.212341	−	1.24696i
$271$	−19.6010	−	11.3166i	−1.19067	−	0.687436i	−0.232215	−	0.972665i	$-0.574597\pi$
$271$	−19.6010	−	11.3166i	−1.19067	−	0.687436i	−0.958460	+	0.285229i	$0.907930\pi$
$272$	−13.8564	+	8.00000i	−0.840168	+	0.485071i
$273$	7.68338	−	14.3166i	0.465019	−	0.866482i
$274$	−3.31662	+	3.31662i	−0.200365	+	0.200365i
$275$	−0.648776	−	0.173839i	−0.0391227	−	0.0104829i
$276$	10.8966	+	10.2402i	0.655899	+	0.616391i
$277$	−17.5831	−	17.5831i	−1.05647	−	1.05647i	−0.998307	−	0.0581603i	$-0.981477\pi$
$277$	−17.5831	−	17.5831i	−1.05647	−	1.05647i	−0.0581603	−	0.998307i	$-0.518523\pi$
$278$		−	27.5831i		−	1.65433i
$279$	4.92065	−	9.89406i	0.294591	−	0.592342i
$280$	−8.00000	+	13.8564i	−0.478091	+	0.828079i
$281$	−7.18338	−	12.4420i	−0.428524	−	0.742226i	0.568218	−	0.822878i	$-0.307633\pi$
$281$	−7.18338	−	12.4420i	−0.428524	−	0.742226i	−0.996742	+	0.0806523i	$0.974300\pi$
$282$	−2.57999	−	4.16457i	−0.153636	−	0.247996i
$283$	0.289732	+	1.08129i	0.0172228	+	0.0642762i	0.974002	−	0.226538i	$-0.0727406\pi$
$283$	0.289732	+	1.08129i	0.0172228	+	0.0642762i	−0.956780	+	0.290814i	$0.906074\pi$
$284$	−4.63325			−0.274933
$285$	−20.1506	+	7.06775i	−1.19362	+	0.418657i
$286$	1.05013	−	1.05013i	0.0620952	−	0.0620952i
$287$	9.31662	−	16.1369i	0.549943	−	0.952529i
$288$	−12.7214	−	11.2323i	−0.749618	−	0.661871i
$289$	−0.500000	−	0.866025i	−0.0294118	−	0.0509427i
$290$	9.24818	+	34.5147i	0.543072	+	2.02677i
$291$	12.5584	+	11.8020i	0.736188	+	0.691843i
$292$	13.3668			0.782230
$293$	−0.316625	+	0.316625i	−0.0184974	+	0.0184974i	−0.716295	−	0.697798i	$-0.754164\pi$
$293$	−0.316625	+	0.316625i	−0.0184974	+	0.0184974i	0.697798	+	0.716295i	$0.254164\pi$
$294$	−7.34493	+	0.228085i	−0.428365	+	0.0133022i
$295$	−4.31662	−	7.47661i	−0.251324	−	0.435305i
$296$			29.2665i			1.70108i
$297$	−1.15831	+	0.108187i	−0.0672121	+	0.00627763i
$298$	−9.20866	+	5.31662i	−0.533444	+	0.307984i
$299$	−19.5569	+	5.24025i	−1.13100	+	0.303051i
$300$	−7.57301	−	7.11684i	−0.437228	−	0.410891i
$301$	−5.58793	−	20.8544i	−0.322083	−	1.20203i
$302$	8.13176	+	30.3481i	0.467930	+	1.74634i
$303$	−11.5831	+	21.5831i	−0.665433	+	1.23992i
$304$	−3.75906	+	17.0256i	−0.215597	+	0.976483i
$305$		−	18.5330i		−	1.06120i
$306$	−11.2323	+	12.7214i	−0.642109	+	0.727236i
$307$	7.91142	−	2.11986i	0.451529	−	0.120987i	−0.0258859	−	0.999665i	$-0.508241\pi$
$307$	7.91142	−	2.11986i	0.451529	−	0.120987i	0.477415	+	0.878678i	$0.341574\pi$
$308$	0.865035	+	0.231785i	0.0492899	+	0.0132072i
$309$	3.29458	−	14.0230i	0.187422	−	0.797741i
$310$	−7.36675	−	12.7596i	−0.418403	−	0.724696i
$311$		−	11.5831i		−	0.656819i	−0.944535	−	0.328409i	$-0.893487\pi$
$311$		−	11.5831i		−	0.656819i	0.944535	−	0.328409i	$-0.106513\pi$
$312$	22.0000	−	6.63325i	1.24550	−	0.375534i
$313$	−20.4670	+	11.8166i	−1.15686	+	0.667915i	−0.950550	−	0.310571i	$-0.899480\pi$
$313$	−20.4670	+	11.8166i	−1.15686	+	0.667915i	−0.206313	+	0.978486i	$0.566146\pi$
$314$	−22.4298	+	12.9499i	−1.26579	+	0.730804i
$315$	−3.36675	+	16.6332i	−0.189695	+	0.937177i
$316$	13.2665			0.746299
$317$	0.866291	−	3.23304i	0.0486557	−	0.181586i	−0.937321	−	0.348466i	$-0.886703\pi$
$317$	0.866291	−	3.23304i	0.0486557	−	0.181586i	0.985977	+	0.166880i	$0.0533693\pi$
$318$	18.9969	+	4.46315i	1.06529	+	0.250281i
$319$	1.73205	−	1.00000i	0.0969762	−	0.0559893i
$320$	−21.8564	+	5.85641i	−1.22181	+	0.327383i
$321$	12.3893	−	7.67532i	0.691505	−	0.428395i
$322$	−8.63325	−	8.63325i	−0.481112	−	0.481112i
$323$	17.0256	+	3.75906i	0.947327	+	0.209159i
$324$	−16.5831	−	7.00000i	−0.921285	−	0.388889i
$325$	13.5918	−	3.64191i	0.753936	−	0.202017i
$326$	9.79156	−	16.9595i	0.542304	−	0.939299i
$327$	10.5684	−	0.328185i	0.584436	−	0.0181487i
$328$	25.4535	−	6.82024i	1.40543	−	0.376585i
$329$	2.00000	+	3.46410i	0.110264	+	0.190982i
$330$	−0.733501	+	1.36675i	−0.0403779	+	0.0752371i
$331$	−18.7916	+	18.7916i	−1.03288	+	1.03288i	−0.0334368	+	0.999441i	$0.510645\pi$
$331$	−18.7916	+	18.7916i	−1.03288	+	1.03288i	−0.999441	+	0.0334368i	$0.989355\pi$
$332$	0.616158	−	2.29953i	0.0338161	−	0.126203i
$333$	9.87915	+	29.4278i	0.541374	+	1.61263i
$334$	6.63325	+	6.63325i	0.362955	+	0.362955i
$335$	−13.8997			−0.759424
$336$	10.0974	+	9.48913i	0.550856	+	0.517674i
$337$	8.50000	−	14.7224i	0.463025	−	0.801982i	−0.536085	−	0.844164i	$-0.680098\pi$
$337$	8.50000	−	14.7224i	0.463025	−	0.801982i	0.999110	+	0.0421818i	$0.0134309\pi$
$338$	−3.29423	+	12.2942i	−0.179182	+	0.668718i
$339$	30.2660	+	7.11073i	1.64382	+	0.386202i
$340$	5.85641	+	21.8564i	0.317608	+	1.18533i
$341$	−0.583124	+	0.583124i	−0.0315779	+	0.0315779i
$342$	1.96734	+	18.3883i	0.106382	+	0.994325i
$343$	20.0000			1.07990
$344$	15.2665	−	26.4424i	0.823114	−	1.42568i
$345$	17.9769	−	11.1369i	0.967843	−	0.599589i
$346$	5.94987	+	10.3055i	0.319867	+	0.554026i
$347$	22.0727	−	5.91435i	1.18492	−	0.317499i	0.388045	−	0.921640i	$-0.373150\pi$
$347$	22.0727	−	5.91435i	1.18492	−	0.317499i	0.796877	+	0.604141i	$0.206484\pi$
$348$	30.9301	−	0.960484i	1.65803	−	0.0514873i
$349$	−16.0000	+	16.0000i	−0.856460	+	0.856460i	−0.990919	−	0.134459i	$-0.957070\pi$
$349$	−16.0000	+	16.0000i	−0.856460	+	0.856460i	0.134459	+	0.990919i	$0.457070\pi$
$350$	6.00000	+	6.00000i	0.320713	+	0.320713i
$351$	19.8822	−	14.0961i	1.06123	−	0.752394i
$352$	0.633250	+	1.09682i	0.0337523	+	0.0584607i
$353$		−	20.5831i		−	1.09553i	−0.836633	−	0.547765i	$-0.815479\pi$
$353$		−	20.5831i		−	1.09553i	0.836633	−	0.547765i	$-0.184521\pi$
$354$	−7.15831	+	2.15831i	−0.380460	+	0.114713i
$355$	−1.69589	+	6.32914i	−0.0900083	+	0.335916i
$356$	22.9783	+	13.2665i	1.21784	+	0.703123i
$357$	9.48913	−	10.0974i	0.502218	−	0.534408i
$358$	−19.2399	−	11.1082i	−1.01686	−	0.587086i
$359$	−24.9845	−	14.4248i	−1.31863	−	0.761312i	−0.335123	−	0.942174i	$-0.608778\pi$
$359$	−24.9845	−	14.4248i	−1.31863	−	0.761312i	−0.983509	+	0.180862i	$0.942111\pi$
$360$	−20.0000	+	13.2665i	−1.05409	+	0.699206i
$361$	15.5450	−	10.9248i	0.818160	−	0.574990i
$362$	−2.63325			−0.138401
$363$	−18.4630	−	4.33772i	−0.969058	−	0.227671i
$364$	−18.1224	+	4.85588i	−0.949871	+	0.254517i
$365$	4.89257	−	18.2593i	0.256089	−	0.955737i
$366$	−15.6246	−	3.67086i	−0.816712	−	0.191879i
$367$	0.909435	−	0.525063i	0.0474721	−	0.0274081i	−0.476076	−	0.879404i	$-0.657941\pi$
$367$	0.909435	−	0.525063i	0.0474721	−	0.0274081i	0.523548	+	0.851996i	$0.324608\pi$
$368$		−	17.2665i		−	0.900078i
$369$	23.2916	−	15.4499i	1.21251	−	0.804288i
$370$	39.9788	+	10.7123i	2.07840	+	0.556905i
$371$	−15.3903	−	4.12382i	−0.799026	−	0.214098i
$372$	−12.2164	+	3.68338i	−0.633389	+	0.190974i
$373$	−0.633250	−	0.633250i	−0.0327884	−	0.0327884i	0.690522	−	0.723311i	$-0.257381\pi$
$373$	−0.633250	−	0.633250i	−0.0327884	−	0.0327884i	−0.723311	+	0.690522i	$0.757381\pi$
$374$	1.09682	−	0.633250i	0.0567152	−	0.0327446i
$375$	8.32914	−	5.15999i	0.430115	−	0.266461i
$376$	−1.46410	+	5.46410i	−0.0755053	+	0.281790i
$377$	−20.9499	+	36.2862i	−1.07897	+	1.86884i
$378$	13.3561	+	6.13298i	0.686966	+	0.315447i
$379$	−11.0000	+	11.0000i	−0.565032	+	0.565032i	−0.930733	−	0.365701i	$-0.880829\pi$
$379$	−11.0000	+	11.0000i	−0.565032	+	0.565032i	0.365701	+	0.930733i	$0.380829\pi$
$380$	21.8814	+	11.3668i	1.12249	+	0.583102i
$381$	−7.47494	−	24.7916i	−0.382953	−	1.27011i
$382$	3.89204	+	14.5253i	0.199134	+	0.743178i
$383$		0			0		−0.866025	−	0.500000i	$-0.833333\pi$
$383$		0			0		0.866025	+	0.500000i	$0.166667\pi$
$384$	0.608226	+	19.5865i	0.0310384	+	0.999518i
$385$	0.633250	−	1.09682i	0.0322734	−	0.0558991i
$386$	9.92622	+	2.65972i	0.505231	+	0.135376i
$387$	6.42481	−	31.7414i	0.326592	−	1.61351i
$388$		−	19.8997i		−	1.01026i
$389$	−31.3501	−	8.40024i	−1.58951	−	0.425909i	−0.647659	−	0.761930i	$-0.724252\pi$
$389$	−31.3501	−	8.40024i	−1.58951	−	0.425909i	−0.941854	+	0.336021i	$0.890919\pi$
$390$	−1.00863	−	32.4805i	−0.0510739	−	1.64471i
$391$	−17.2665			−0.873204
$392$	6.00000	+	6.00000i	0.303046	+	0.303046i
$393$	−6.05941	+	0.188165i	−0.305657	+	0.00949167i
$394$	−4.64774	−	2.68338i	−0.234150	−	0.135186i
$395$	4.85588	−	18.1224i	0.244326	−	0.911836i
$396$	1.00698	+	0.889107i	0.0506027	+	0.0446793i
$397$	4.48985	+	16.7563i	0.225339	+	0.840977i	0.982268	+	0.187480i	$0.0600321\pi$
$397$	4.48985	+	16.7563i	0.225339	+	0.840977i	−0.756929	+	0.653497i	$0.773301\pi$
$398$	−14.9499	+	14.9499i	−0.749369	+	0.749369i
$399$	−1.13954	−	15.0566i	−0.0570486	−	0.753773i
$400$			12.0000i			0.600000i
$401$	10.7099	+	6.18338i	0.534828	+	0.308783i	0.742980	−	0.669313i	$-0.233412\pi$
$401$	10.7099	+	6.18338i	0.534828	+	0.308783i	−0.208152	+	0.978096i	$0.566745\pi$
$402$	−2.75315	+	11.7185i	−0.137315	+	0.584464i
$403$	4.47150	−	16.6879i	0.222741	−	0.831282i
$404$	27.3205	−	7.32051i	1.35925	−	0.364209i
$405$	−15.6320	+	20.0908i	−0.776761	+	0.998319i
$406$	−25.2665			−1.25396
$407$		−	2.31662i		−	0.114831i
$408$	19.5865	−	0.608226i	0.969675	−	0.0301117i
$409$	10.6231	−	6.13325i	0.525278	−	0.303270i	−0.213813	−	0.976875i	$-0.568588\pi$
$409$	10.6231	−	6.13325i	0.525278	−	0.303270i	0.739092	+	0.673605i	$0.235255\pi$
$410$		−	37.2665i		−	1.84046i
$411$	5.50000	−	1.65831i	0.271295	−	0.0817985i
$412$	−14.4048	+	8.31662i	−0.709674	+	0.409731i
$413$	5.89662	−	1.57999i	0.290154	−	0.0777464i
$414$	−5.82845	−	17.3617i	−0.286453	−	0.853280i
$415$	−2.91569	−	1.68338i	−0.143126	−	0.0826336i
$416$	−22.9783	−	13.2665i	−1.12660	−	0.650444i
$417$	−15.9749	+	29.7665i	−0.782296	+	1.45767i
$418$	0.297553	−	1.34768i	0.0145538	−	0.0659171i
$419$	13.6332	−	13.6332i	0.666028	−	0.666028i	−0.290766	−	0.956794i	$-0.593910\pi$
$419$	13.6332	−	13.6332i	0.666028	−	0.666028i	0.956794	+	0.290766i	$0.0939102\pi$
$420$	16.6583	−	10.3200i	0.812841	−	0.503563i
$421$	1.36603	−	0.366025i	0.0665760	−	0.0178390i	−0.225377	−	0.974272i	$-0.572361\pi$
$421$	1.36603	−	0.366025i	0.0665760	−	0.0178390i	0.291953	+	0.956433i	$0.405695\pi$
$422$	3.00000	+	5.19615i	0.146038	+	0.252945i
$423$	0.372281	+	5.98844i	0.0181009	+	0.291168i
$424$	−11.2665	−	19.5141i	−0.547150	−	0.947691i
$425$	12.0000			0.582086
$426$	5.00000	+	2.68338i	0.242251	+	0.130010i
$427$	12.6583	+	3.39177i	0.612577	+	0.164139i
$428$	−16.2554	−	4.35561i	−0.785732	−	0.210536i
$429$	−1.74144	+	0.525063i	−0.0840773	+	0.0253503i
$430$	−30.5330	−	30.5330i	−1.47243	−	1.47243i
$431$	−5.15831	−	8.93446i	−0.248467	−	0.430358i	0.714634	−	0.699499i	$-0.246593\pi$
$431$	−5.15831	−	8.93446i	−0.248467	−	0.430358i	−0.963101	+	0.269141i	$0.913260\pi$
$432$	7.22316	+	19.4891i	0.347524	+	0.937671i
$433$	−13.9499	−	24.1619i	−0.670388	−	1.16115i	−0.977794	−	0.209568i	$-0.932794\pi$
$433$	−13.9499	−	24.1619i	−0.670388	−	1.16115i	0.307406	−	0.951578i	$-0.400539\pi$
$434$	10.0632	−	2.69642i	0.483048	−	0.129432i
$435$	10.0092	−	42.6029i	0.479902	−	2.04265i
$436$	−8.63325	−	8.63325i	−0.413458	−	0.413458i
$437$	−12.6997	+	13.8834i	−0.607511	+	0.664132i
$438$	−14.4248	−	7.74144i	−0.689244	−	0.369900i
$439$	−5.84169	+	10.1181i	−0.278809	+	0.482911i	−0.971089	−	0.238718i	$-0.923273\pi$
$439$	−5.84169	+	10.1181i	−0.278809	+	0.482911i	0.692280	+	0.721629i	$0.256606\pi$
$440$	1.73007	−	0.463571i	0.0824779	−	0.0220999i
$441$	8.05842	+	4.00772i	0.383734	+	0.190844i
$442$	−13.2665	+	22.9783i	−0.631023	+	1.09296i
$443$	3.58396	−	13.3755i	0.170279	−	0.635490i	−0.827029	−	0.562160i	$-0.809971\pi$
$443$	3.58396	−	13.3755i	0.170279	−	0.635490i	0.997308	−	0.0733304i	$-0.0233628\pi$
$444$	16.9499	−	31.5831i	0.804405	−	1.49887i
$445$	26.5330	−	26.5330i	1.25778	−	1.25778i
$446$	−1.84847	+	6.89860i	−0.0875278	+	0.326658i
$447$	13.0167	−	0.404214i	0.615671	−	0.0191186i
$448$		−	16.0000i		−	0.755929i
$449$		−	31.0000i		−	1.46298i	−0.681852	−	0.731490i	$-0.738825\pi$
$449$		−	31.0000i		−	1.46298i	0.681852	−	0.731490i	$-0.261175\pi$
$450$	4.05070	+	12.0661i	0.190952	+	0.568803i
$451$	−2.01480	+	0.539864i	−0.0948733	+	0.0254212i
$452$	−17.9499	−	31.0901i	−0.844291	−	1.46236i
$453$	8.80087	−	37.4599i	0.413501	−	1.76002i
$454$	−14.7658	−	8.52506i	−0.692995	−	0.400101i
$455$			26.5330i			1.24389i
$456$	13.9171	−	16.1962i	0.651726	−	0.758454i
$457$		−	3.00000i		−	0.140334i	−0.997535	−	0.0701670i	$-0.977647\pi$
$457$		−	3.00000i		−	0.140334i	0.997535	−	0.0701670i	$-0.0223532\pi$
$458$	5.68338	−	9.84389i	0.265567	−	0.459975i
$459$	19.4891	−	7.22316i	0.909674	−	0.337148i
$460$	−23.5865	−	6.31998i	−1.09973	−	0.294670i
$461$	1.79854	−	0.481918i	0.0837665	−	0.0224452i	−0.216692	−	0.976240i	$-0.569527\pi$
$461$	1.79854	−	0.481918i	0.0837665	−	0.0224452i	0.300459	+	0.953795i	$0.402860\pi$
$462$	−0.799268	−	0.751123i	−0.0371853	−	0.0349454i
$463$			25.6834i			1.19361i	0.802387	+	0.596804i	$0.203563\pi$
$463$			25.6834i			1.19361i	−0.802387	+	0.596804i	$0.796437\pi$
$464$	−25.2665	−	25.2665i	−1.17297	−	1.17297i
$465$	0.560081	+	18.0361i	0.0259731	+	0.836403i
$466$	−3.23304	−	0.866291i	−0.149768	−	0.0401301i
$467$	17.1082	−	17.1082i	0.791672	−	0.791672i	−0.190094	−	0.981766i	$-0.560879\pi$
$467$	17.1082	−	17.1082i	0.791672	−	0.791672i	0.981766	+	0.190094i	$0.0608791\pi$
$468$	−27.5831	−	5.58312i	−1.27503	−	0.258080i
$469$	2.54383	−	9.49370i	0.117463	−	0.438379i
$470$	6.92820	+	4.00000i	0.319574	+	0.184506i
$471$	31.7053	−	0.984556i	1.46090	−	0.0453660i
$472$	7.47661	+	4.31662i	0.344139	+	0.198689i
$473$	−1.20844	+	2.09308i	−0.0555640	+	0.0962397i
$474$	−14.3166	−	7.68338i	−0.657584	−	0.352909i
$475$	8.82616	−	9.64878i	0.404972	−	0.442716i
$476$	−16.0000			−0.733359
$477$	−17.9158	−	15.8186i	−0.820306	−	0.724284i
$478$	−1.23232	−	4.59907i	−0.0563648	−	0.210356i
$479$	−3.31662	−	5.74456i	−0.151540	−	0.262476i	0.780253	−	0.625463i	$-0.215090\pi$
$479$	−3.31662	−	5.74456i	−0.151540	−	0.262476i	−0.931794	+	0.362988i	$0.881757\pi$
$480$	26.9783	+	6.33830i	1.23138	+	0.289302i
$481$	24.2665	+	42.0308i	1.10646	+	1.91644i
$482$	12.5831	−	12.5831i	0.573146	−	0.573146i
$483$	4.31662	+	14.3166i	0.196413	+	0.651429i
$484$	10.9499	+	18.9657i	0.497722	+	0.862079i
$485$	−27.1836	−	7.28381i	−1.23434	−	0.330741i
$486$	13.8417	+	17.1583i	0.627872	+	0.778317i
$487$	17.6834			0.801310			0.400655	−	0.916229i	$-0.368783\pi$
$487$	17.6834			0.801310			0.400655	+	0.916229i	$0.368783\pi$
$488$	9.26650	+	16.0500i	0.419475	+	0.726552i
$489$	−20.3888	+	12.6311i	−0.922014	+	0.571198i
$490$	10.3923	−	6.00000i	0.469476	−	0.271052i
$491$	6.39761	−	1.71423i	0.288720	−	0.0773623i	−0.111552	−	0.993759i	$-0.535582\pi$
$491$	6.39761	−	1.71423i	0.288720	−	0.0773623i	0.400272	+	0.916396i	$0.368916\pi$
$492$	−31.4183	−	7.38144i	−1.41645	−	0.332781i
$493$	−25.2665	+	25.2665i	−1.13795	+	1.13795i
$494$	8.71831	+	27.5679i	0.392255	+	1.24034i
$495$	1.58312	−	1.05013i	0.0711561	−	0.0471996i
$496$	12.7596	+	7.36675i	0.572922	+	0.330777i
$497$	−4.01251	−	2.31662i	−0.179986	−	0.103915i
$498$	−1.99672	+	2.12470i	−0.0894752	+	0.0952103i
$499$	30.7013	−	8.22640i	1.37438	−	0.368264i	0.505304	−	0.862942i	$-0.331380\pi$
$499$	30.7013	−	8.22640i	1.37438	−	0.368264i	0.869077	+	0.494677i	$0.164714\pi$
$500$	−10.9282	−	2.92820i	−0.488724	−	0.130953i
$501$	−3.31662	−	11.0000i	−0.148176	−	0.491444i
$502$	−13.6834			−0.610719
$503$	28.4486	−	16.4248i	1.26846	−	0.732346i	0.293764	−	0.955878i	$-0.405092\pi$
$503$	28.4486	−	16.4248i	1.26846	−	0.732346i	0.974697	+	0.223532i	$0.0717587\pi$
$504$	−5.40093	−	16.0882i	−0.240577	−	0.716625i
$505$		−	40.0000i		−	1.77998i
$506$			1.36675i			0.0607595i
$507$	10.6753	−	11.3595i	0.474105	−	0.504494i
$508$	−14.9499	+	25.8939i	−0.663293	+	1.14886i
$509$	−8.01586	+	29.9156i	−0.355297	+	1.32599i	0.524814	+	0.851217i	$0.324135\pi$
$509$	−8.01586	+	29.9156i	−0.355297	+	1.32599i	−0.880110	+	0.474769i	$0.842532\pi$
$510$	6.33830	−	26.9783i	0.280664	−	1.19462i
$511$	11.5759	+	6.68338i	0.512090	+	0.295655i
$512$	16.0000	−	16.0000i	0.707107	−	0.707107i
$513$	8.52663	−	20.9832i	0.376460	−	0.926433i
$514$	29.9499	+	29.9499i	1.32103	+	1.32103i
$515$	6.08819	+	22.7214i	0.268278	+	1.00123i
$516$	−31.7892	+	19.6937i	−1.39944	+	0.866969i
$517$	0.115893	−	0.432518i	0.00509696	−	0.0190221i
$518$	−14.6332	+	25.3455i	−0.642948	+	1.11362i
$519$	−0.452358	−	14.5671i	−0.0198563	−	0.639426i
$520$	−26.5330	+	26.5330i	−1.16355	+	1.16355i
$521$	−15.3166			−0.671034			−0.335517	−	0.942034i	$-0.608911\pi$
$521$	−15.3166			−0.671034			−0.335517	+	0.942034i	$0.608911\pi$
$522$	−33.9347	−	16.8769i	−1.48528	−	0.738680i
$523$	−35.8807	−	9.61421i	−1.56895	−	0.420400i	−0.633469	−	0.773768i	$-0.718370\pi$
$523$	−35.8807	−	9.61421i	−1.56895	−	0.420400i	−0.935484	+	0.353368i	$0.885036\pi$
$524$	4.94987	+	4.94987i	0.216236	+	0.216236i
$525$	−3.00000	−	9.94987i	−0.130931	−	0.434248i
$526$	9.01640	−	33.6496i	0.393134	−	1.46719i
$527$	7.36675	−	12.7596i	0.320901	−	0.555816i
$528$	−0.0481448	−	1.55039i	−0.00209524	−	0.0674721i
$529$	−2.18338	+	3.78172i	−0.0949294	+	0.164422i
$530$	−30.7806	+	8.24765i	−1.33703	+	0.358255i
$531$	8.97494	+	1.81662i	0.389479	+	0.0788348i
$532$	−11.7682	+	12.8650i	−0.510217	+	0.557770i
$533$	30.8997	−	30.8997i	1.33842	−	1.33842i
$534$	−17.1137	−	27.6246i	−0.740584	−	1.19543i
$535$	−11.8997	+	20.6110i	−0.514471	+	0.891090i
$536$	12.0375	−	6.94987i	0.519942	−	0.300189i
$537$	14.3295	+	23.1304i	0.618365	+	0.998150i
$538$	5.68338	+	9.84389i	0.245028	+	0.424400i
$539$	−0.474937	−	0.474937i	−0.0204570	−	0.0204570i
$540$	29.2665	−	2.73350i	1.25943	−	0.117631i
$541$	8.19615	+	2.19615i	0.352380	+	0.0944200i	0.430667	−	0.902511i	$-0.358278\pi$
$541$	8.19615	+	2.19615i	0.352380	+	0.0944200i	−0.0782869	+	0.996931i	$0.524945\pi$
$542$	8.28434	−	30.9176i	0.355843	−	1.32802i
$543$	2.84169	+	1.52506i	0.121948	+	0.0654467i
$544$	−16.0000	−	16.0000i	−0.685994	−	0.685994i
$545$	−14.9532	+	8.63325i	−0.640526	+	0.369808i
$546$	22.3692	+	5.25544i	0.957313	+	0.224912i
$547$	−10.0778	+	37.6108i	−0.430895	+	1.60812i	0.319809	+	0.947482i	$0.396381\pi$
$547$	−10.0778	+	37.6108i	−0.430895	+	1.60812i	−0.750704	+	0.660639i	$0.770286\pi$
$548$	−5.74456	−	3.31662i	−0.245396	−	0.141679i
$549$	14.7354	+	13.0105i	0.628892	+	0.555276i
$550$		−	0.949874i		−	0.0405028i
$551$	1.73205	+	38.8997i	0.0737878	+	1.65719i
$552$	−10.0000	+	18.6332i	−0.425628	+	0.793084i
$553$	11.4891	+	6.63325i	0.488567	+	0.282074i
$554$	17.5831	−	30.4549i	0.747035	−	1.29390i
$555$	−36.9393	−	34.7142i	−1.56798	−	1.47354i
$556$	37.6792	−	10.0961i	1.59796	−	0.428171i
$557$	−4.16052	+	15.5273i	−0.176287	+	0.657912i	0.820042	+	0.572303i	$0.193950\pi$
$557$	−4.16052	+	15.5273i	−0.176287	+	0.657912i	−0.996329	+	0.0856082i	$0.972717\pi$
$558$	15.3166	+	3.10025i	0.648404	+	0.131244i
$559$		−	50.6332i		−	2.14156i
$560$	−21.8564	−	5.85641i	−0.923602	−	0.247478i
$561$	−1.55039	+	0.0481448i	−0.0654576	+	0.00203268i
$562$	14.3668	−	14.3668i	0.606025	−	0.606025i
$563$	−8.52506	+	8.52506i	−0.359289	+	0.359289i	−0.863551	−	0.504262i	$-0.831765\pi$
$563$	−8.52506	+	8.52506i	−0.359289	+	0.359289i	0.504262	+	0.863551i	$0.331765\pi$
$564$	4.74456	−	5.04868i	0.199782	−	0.212588i
$565$	−49.0400	+	13.1402i	−2.06313	+	0.552813i
$566$	−1.37103	+	0.791562i	−0.0576285	+	0.0332718i
$567$	−10.8614	−	14.3537i	−0.456136	−	0.602800i
$568$	−1.69589	−	6.32914i	−0.0711578	−	0.265565i
$569$	32.5330			1.36385			0.681927	−	0.731420i	$-0.261142\pi$
$569$	32.5330			1.36385			0.681927	+	0.731420i	$0.261142\pi$
$570$	−17.0304	−	24.9393i	−0.713323	−	1.04459i
$571$	−8.15831	+	8.15831i	−0.341415	+	0.341415i	−0.856899	−	0.515484i	$-0.827612\pi$
$571$	−8.15831	+	8.15831i	−0.341415	+	0.341415i	0.515484	+	0.856899i	$0.327612\pi$
$572$	1.81887	+	1.05013i	0.0760508	+	0.0439080i
$573$	4.21229	−	17.9292i	0.175971	−	0.749001i
$574$	25.4535	+	6.82024i	1.06241	+	0.284671i
$575$	−6.47494	+	11.2149i	−0.270024	+	0.467695i
$576$	10.6873	−	21.4891i	0.445302	−	0.895380i
$577$	−3.00000			−0.124892			−0.0624458	−	0.998048i	$-0.519890\pi$
$577$	−3.00000			−0.124892			−0.0624458	+	0.998048i	$0.519890\pi$
$578$	1.00000	−	1.00000i	0.0415945	−	0.0415945i
$579$	−9.17155	−	8.61909i	−0.381157	−	0.358197i
$580$	−43.7629	+	25.2665i	−1.81715	+	1.04913i
$581$	1.68338	−	1.68338i	0.0698382	−	0.0698382i
$582$	−11.5251	+	21.4749i	−0.477729	+	0.890165i
$583$	0.891813	+	1.54467i	0.0369351	+	0.0639735i
$584$	4.89257	+	18.2593i	0.202456	+	0.755576i
$585$	−17.7228	+	35.6357i	−0.732748	+	1.47335i
$586$	−0.548410	−	0.316625i	−0.0226546	−	0.0130796i
$587$	−24.9525	+	6.68600i	−1.02990	+	0.275961i	−0.733922	−	0.679234i	$-0.762312\pi$
$587$	−24.9525	+	6.68600i	−1.02990	+	0.275961i	−0.295978	+	0.955195i	$0.595646\pi$
$588$	−3.00000	−	9.94987i	−0.123718	−	0.410326i
$589$	−4.84119	−	15.3082i	−0.199478	−	0.630763i
$590$	8.63325	−	8.63325i	0.355425	−	0.355425i
$591$	3.46155	+	5.58755i	0.142389	+	0.229841i
$592$	−39.9788	+	10.7123i	−1.64312	+	0.440272i
$593$	−12.7162	+	7.34169i	−0.522191	+	0.301487i	−0.737831	−	0.674986i	$-0.764150\pi$
$593$	−12.7162	+	7.34169i	−0.522191	+	0.301487i	0.215640	+	0.976473i	$0.430816\pi$
$594$	−0.571758	−	1.54269i	−0.0234595	−	0.0632971i
$595$	−5.85641	+	21.8564i	−0.240089	+	0.896025i
$596$	−10.6332	−	10.6332i	−0.435555	−	0.435555i
$597$	24.7916	−	7.47494i	1.01465	−	0.305929i
$598$	−14.3166	−	24.7971i	−0.585450	−	1.01403i
$599$	−15.3143	+	8.84169i	−0.625723	+	0.361262i	−0.779094	−	0.626907i	$-0.784321\pi$
$599$	−15.3143	+	8.84169i	−0.625723	+	0.361262i	0.153371	+	0.988169i	$0.450987\pi$
$600$	6.94987	−	12.9499i	0.283727	−	0.528676i
$601$			41.9499i			1.71117i	0.517661	+	0.855586i	$0.326803\pi$
$601$			41.9499i			1.71117i	−0.517661	+	0.855586i	$0.673197\pi$
$602$	26.4424	−	15.2665i	1.07771	−	0.622216i
$603$	9.75790	−	11.0516i	0.397372	−	0.450054i
$604$	−38.4799	+	22.2164i	−1.56572	+	0.903971i
$605$	29.9156	−	8.01586i	1.21624	−	0.325891i
$606$	−33.7228	−	7.92287i	−1.36990	−	0.321845i
$607$		−	30.6332i		−	1.24337i	−0.783269	−	0.621683i	$-0.786449\pi$
$607$		−	30.6332i		−	1.24337i	0.783269	−	0.621683i	$-0.213551\pi$
$608$	−24.6332	+	1.09682i	−0.999010	+	0.0444819i
$609$	27.2665	+	14.6332i	1.10489	+	0.592969i
$610$	25.3165	−	6.78355i	1.02504	−	0.274658i
$611$	2.42794	+	9.06119i	0.0982239	+	0.366576i
$612$	−21.4891	−	10.6873i	−0.868646	−	0.432007i
$613$	−25.5220	+	6.83859i	−1.03082	+	0.276208i	−0.734305	−	0.678819i	$-0.762492\pi$
$613$	−25.5220	+	6.83859i	−1.03082	+	0.276208i	−0.296517	+	0.955027i	$0.595825\pi$
$614$	5.79156	+	10.0313i	0.233728	+	0.404829i
$615$	−21.5831	+	40.2164i	−0.870316	+	1.62168i
$616$			1.26650i			0.0510287i
$617$	−7.44987	−	12.9036i	−0.299921	−	0.519478i	0.676197	−	0.736721i	$-0.263627\pi$
$617$	−7.44987	−	12.9036i	−0.299921	−	0.519478i	−0.976118	+	0.217243i	$0.930294\pi$
$618$	20.3617	−	0.632298i	0.819067	−	0.0254348i
$619$	5.73350	−	5.73350i	0.230449	−	0.230449i	−0.582431	−	0.812880i	$-0.697898\pi$
$619$	5.73350	−	5.73350i	0.230449	−	0.230449i	0.812880	+	0.582431i	$0.197898\pi$
$620$	14.7335	−	14.7335i	0.591712	−	0.591712i
$621$	−3.76531	+	22.1115i	−0.151097	+	0.887306i
$622$	15.8228	−	4.23972i	0.634438	−	0.169997i
$623$	13.2665	+	22.9783i	0.531511	+	0.920604i
$624$	17.1137	+	27.6246i	0.685098	+	1.10587i
$625$	−15.5000	+	26.8468i	−0.620000	+	1.07387i
$626$	−23.6332	−	23.6332i	−0.944575	−	0.944575i
$627$	−1.10162	+	1.28203i	−0.0439945	+	0.0511992i
$628$	−25.8997	−	25.8997i	−1.03351	−	1.03351i
$629$	10.7123	+	39.9788i	0.427127	+	1.59406i
$630$	−23.9538	+	1.48913i	−0.954341	+	0.0593282i
$631$	4.68338	+	8.11184i	0.186442	+	0.322927i	0.944062	−	0.329769i	$-0.106971\pi$
$631$	4.68338	+	8.11184i	0.186442	+	0.322927i	−0.757619	+	0.652697i	$0.773638\pi$
$632$	4.85588	+	18.1224i	0.193156	+	0.720869i
$633$	−0.228085	−	7.34493i	−0.00906555	−	0.291935i
$634$	4.73350			0.187991
$635$	29.8997	+	29.8997i	1.18654	+	1.18654i
$636$	0.856572	+	27.5839i	0.0339653	+	1.09377i
$637$	13.5918	+	3.64191i	0.538526	+	0.144298i
$638$	2.00000	+	2.00000i	0.0791808	+	0.0791808i
$639$	−3.84169	−	5.79156i	−0.151975	−	0.229111i
$640$	−16.0000	−	27.7128i	−0.632456	−	1.09545i
$641$	−19.3702	−	11.1834i	−0.765076	−	0.441717i	0.0660393	−	0.997817i	$-0.478964\pi$
$641$	−19.3702	−	11.1834i	−0.765076	−	0.441717i	−0.831115	+	0.556100i	$0.812297\pi$
$642$	15.0195	+	14.1148i	0.592772	+	0.557066i
$643$	−13.5125	+	3.62065i	−0.532880	+	0.142785i	−0.515218	−	0.857059i	$-0.672289\pi$
$643$	−13.5125	+	3.62065i	−0.532880	+	0.142785i	−0.0176620	+	0.999844i	$0.505622\pi$
$644$	8.63325	−	14.9532i	0.340198	−	0.589240i
$645$	15.2665	+	50.6332i	0.601118	+	1.99368i
$646$	1.09682	+	24.6332i	0.0431538	+	0.969182i
$647$		−	28.3166i		−	1.11324i	−0.830767	−	0.556621i	$-0.812098\pi$
$647$		−	28.3166i		−	1.11324i	0.830767	−	0.556621i	$-0.187902\pi$
$648$	3.49233	−	25.2151i	0.137192	−	0.990545i
$649$	−0.591820	−	0.341688i	−0.0232310	−	0.0134124i
$650$	9.94987	+	17.2337i	0.390266	+	0.675961i
$651$	−12.4214	−	2.91829i	−0.486832	−	0.114377i
$652$	26.7510	+	7.16792i	1.04765	+	0.280717i
$653$	−28.6332	−	28.6332i	−1.12051	−	1.12051i	−0.991665	−	0.128840i	$-0.958875\pi$
$653$	−28.6332	−	28.6332i	−1.12051	−	1.12051i	−0.128840	−	0.991665i	$-0.541125\pi$
$654$	4.31662	+	14.3166i	0.168793	+	0.559824i
$655$	8.57343	−	4.94987i	0.334992	−	0.193408i
$656$	18.6332	+	32.2737i	0.727506	+	1.26008i
$657$	11.0831	+	16.7084i	0.432394	+	0.651858i
$658$	−4.00000	+	4.00000i	−0.155936	+	0.155936i
$659$	−32.1467	−	8.61368i	−1.25226	−	0.335541i	−0.429049	−	0.903281i	$-0.641151\pi$
$659$	−32.1467	−	8.61368i	−1.25226	−	0.335541i	−0.823208	+	0.567740i	$0.807818\pi$
$660$	−2.13550	−	0.501715i	−0.0831241	−	0.0195292i
$661$	6.31998	−	23.5865i	0.245819	−	0.917408i	−0.727152	−	0.686477i	$-0.759156\pi$
$661$	6.31998	−	23.5865i	0.245819	−	0.917408i	0.972970	−	0.230931i	$-0.0741771\pi$
$662$	−32.5479	−	18.7916i	−1.26501	−	0.730355i
$663$	27.6246	−	17.1137i	1.07285	−	0.664643i
$664$	3.36675			0.130655
$665$	13.2665	+	20.7846i	0.514453	+	0.805993i
$666$	−36.5831	+	24.2665i	−1.41757	+	0.940308i
$667$	−9.98023	−	37.2467i	−0.386436	−	1.44220i
$668$	−6.63325	+	11.4891i	−0.256648	+	0.444528i
$669$	5.99016	−	6.37411i	0.231593	−	0.246437i
$670$	−5.08766	−	18.9874i	−0.196553	−	0.733548i
$671$	−0.733501	−	1.27046i	−0.0283165	−	0.0490456i
$672$	−9.26650	+	17.2665i	−0.357463	+	0.666070i
$673$	−14.7335			−0.567935			−0.283967	−	0.958834i	$-0.591651\pi$
$673$	−14.7335			−0.567935			−0.283967	+	0.958834i	$0.591651\pi$
$674$	23.2224	+	6.22243i	0.894495	+	0.239679i
$675$	2.61684	−	15.3672i	0.100722	−	0.591485i
$676$	−18.0000			−0.692308
$677$	−31.9499	+	31.9499i	−1.22793	+	1.22793i	−0.263189	+	0.964744i	$0.584774\pi$
$677$	−31.9499	+	31.9499i	−1.22793	+	1.22793i	−0.964744	+	0.263189i	$0.915226\pi$
$678$	1.36470	+	43.9468i	0.0524109	+	1.68777i
$679$	9.94987	−	17.2337i	0.381841	−	0.661368i
$680$	−27.7128	+	16.0000i	−1.06274	+	0.613572i
$681$	10.9973	+	17.7516i	0.421418	+	0.680243i
$682$	−1.01000	−	0.583124i	−0.0386749	−	0.0223290i
$683$	8.26650	+	8.26650i	0.316309	+	0.316309i	0.847348	−	0.531039i	$-0.178198\pi$
$683$	8.26650	+	8.26650i	0.316309	+	0.316309i	−0.531039	+	0.847348i	$0.678198\pi$
$684$	−24.3988	+	9.41802i	−0.932911	+	0.360107i
$685$	−6.63325	+	6.63325i	−0.253443	+	0.253443i
$686$	7.32051	+	27.3205i	0.279498	+	1.04310i
$687$	−11.8344	+	7.33154i	−0.451511	+	0.279716i
$688$	41.7089	+	11.1759i	1.59014	+	0.426075i
$689$	−32.3606	−	18.6834i	−1.23284	−	0.711780i
$690$	21.7932	+	20.4805i	0.829654	+	0.779679i
$691$	−4.89975	−	4.89975i	−0.186395	−	0.186395i	0.607740	−	0.794136i	$-0.292076\pi$
$691$	−4.89975	−	4.89975i	−0.186395	−	0.186395i	−0.794136	+	0.607740i	$0.792076\pi$
$692$	−11.8997	+	11.8997i	−0.452361	+	0.452361i
$693$	0.427517	+	1.27348i	0.0162400	+	0.0483755i
$694$	16.1583	+	27.9870i	0.613361	+	1.06237i
$695$		−	55.1662i		−	2.09258i
$696$	12.6332	+	41.8997i	0.478862	+	1.58821i
$697$	32.2737	−	18.6332i	1.22245	−	0.705785i
$698$	−27.7128	−	16.0000i	−1.04895	−	0.605609i
$699$	2.98724	+	2.80730i	0.112988	+	0.106182i
$700$	−6.00000	+	10.3923i	−0.226779	+	0.392792i
$701$	27.7530	−	7.43640i	1.04822	−	0.280869i	0.306702	−	0.951805i	$-0.400774\pi$
$701$	27.7530	−	7.43640i	1.04822	−	0.280869i	0.741515	+	0.670936i	$0.234108\pi$
$702$	26.5330	+	22.0000i	1.00142	+	0.830336i
$703$	40.0246	+	20.7916i	1.50955	+	0.784169i
$704$	−1.26650	+	1.26650i	−0.0477330	+	0.0477330i
$705$	−5.15999	−	8.32914i	−0.194336	−	0.313693i
$706$	28.1171	−	7.53395i	1.05820	−	0.283544i
$707$	27.3205	+	7.32051i	1.02749	+	0.275316i
$708$	−5.56843	−	8.98844i	−0.209275	−	0.337806i
$709$	1.48245	−	5.53257i	0.0556745	−	0.207780i	−0.932485	−	0.361208i	$-0.882365\pi$
$709$	1.48245	−	5.53257i	0.0556745	−	0.207780i	0.988160	+	0.153428i	$0.0490312\pi$
$710$	−9.26650			−0.347766
$711$	11.0000	+	16.5831i	0.412532	+	0.621916i
$712$	−9.71175	+	36.2447i	−0.363963	+	1.35833i
$713$	7.94987	+	13.7696i	0.297725	+	0.515675i
$714$	17.2665	+	9.26650i	0.646182	+	0.346790i
$715$	2.10025	−	2.10025i	0.0785449	−	0.0785449i
$716$	8.13176	−	30.3481i	0.303898	−	1.13416i
$717$	−1.33372	+	5.67681i	−0.0498085	+	0.212005i
$718$	10.5597	−	39.4093i	0.394084	−	1.47074i
$719$	12.7916	−	22.1556i	0.477045	−	0.826266i	−0.522609	−	0.852572i	$-0.675041\pi$
$719$	12.7916	−	22.1556i	0.477045	−	0.826266i	0.999654	+	0.0263066i	$0.00837462\pi$
$720$	−25.4429	−	22.4646i	−0.948200	−	0.837207i
$721$	−16.6332			−0.619455
$722$	20.6135	+	17.2362i	0.767153	+	0.641464i
$723$	−20.8668	+	6.29156i	−0.776043	+	0.233986i
$724$	−0.963836	−	3.59709i	−0.0358207	−	0.133685i
$725$	6.93614	+	25.8860i	0.257602	+	0.961382i
$726$	−0.832500	−	26.8087i	−0.0308970	−	0.994964i
$727$	−16.2665	+	28.1744i	−0.603291	+	1.04493i	0.389028	+	0.921226i	$0.372811\pi$
$727$	−16.2665	+	28.1744i	−0.603291	+	1.04493i	−0.992319	+	0.123705i	$0.960522\pi$
$728$	−13.2665	−	22.9783i	−0.491689	−	0.851631i
$729$	−5.00000	−	26.5330i	−0.185185	−	0.982704i
$730$	26.7335			0.989451
$731$	11.1759	−	41.7089i	0.413354	−	1.54266i
$732$	−0.704516	−	22.6873i	−0.0260396	−	0.838545i
$733$	−19.9499	+	19.9499i	−0.736865	+	0.736865i	−0.971970	−	0.235105i	$-0.924457\pi$
$733$	−19.9499	+	19.9499i	−0.736865	+	0.736865i	0.235105	+	0.971970i	$0.424457\pi$
$734$	1.05013	+	1.05013i	0.0387608	+	0.0387608i
$735$	−14.6899	+	0.456169i	−0.541844	+	0.0168261i
$736$	23.5865	−	6.31998i	0.869409	−	0.232957i
$737$	−0.952846	+	0.550126i	−0.0350985	+	0.0202641i
$738$	29.6302	+	26.1618i	1.09070	+	0.963030i
$739$	3.51777	−	0.942584i	0.129403	−	0.0346735i	−0.193536	−	0.981093i	$-0.561996\pi$
$739$	3.51777	−	0.942584i	0.129403	−	0.0346735i	0.322939	+	0.946420i	$0.395329\pi$
$740$			58.5330i			2.15172i
$741$	6.55772	−	34.7994i	0.240904	−	1.27839i
$742$		−	22.5330i		−	0.827212i
$743$	2.00626	+	1.15831i	0.0736024	+	0.0424944i	0.536350	−	0.843996i	$-0.319803\pi$
$743$	2.00626	+	1.15831i	0.0736024	+	0.0424944i	−0.462747	+	0.886490i	$0.653136\pi$
$744$	−9.50309	−	15.3397i	−0.348400	−	0.562380i
$745$	−18.4173	+	10.6332i	−0.674759	+	0.389572i
$746$	0.633250	−	1.09682i	0.0231849	−	0.0401574i
$747$	3.38531	−	1.13647i	0.123862	−	0.0415814i
$748$	1.26650	+	1.26650i	0.0463078	+	0.0463078i
$749$	−11.8997	−	11.8997i	−0.434807	−	0.434807i
$750$	10.0974	+	9.48913i	0.368703	+	0.346494i
$751$	−34.9152	+	20.1583i	−1.27407	+	0.735587i	−0.975752	−	0.218878i	$-0.929760\pi$
$751$	−34.9152	+	20.1583i	−1.27407	+	0.735587i	−0.298322	+	0.954465i	$0.596427\pi$
$752$	−8.00000			−0.291730
$753$	14.7665	+	7.92481i	0.538121	+	0.288796i
$754$	−57.2361	−	15.3364i	−2.08442	−	0.558518i
$755$	16.2635	+	60.6963i	0.591890	+	2.20896i
$756$	−3.48913	+	20.4897i	−0.126898	+	0.745202i
$757$	−31.8511	+	8.53448i	−1.15765	+	0.310191i	−0.786026	−	0.618193i	$-0.787865\pi$
$757$	−31.8511	+	8.53448i	−1.15765	+	0.310191i	−0.371622	+	0.928384i	$0.621198\pi$
$758$	−19.0526	−	11.0000i	−0.692020	−	0.399538i
$759$	0.791562	−	1.47494i	0.0287319	−	0.0535368i
$760$	−7.51811	+	34.0511i	−0.272711	+	1.23516i
$761$	10.5831			0.383638			0.191819	−	0.981430i	$-0.438561\pi$
$761$	10.5831			0.383638			0.191819	+	0.981430i	$0.438561\pi$
$762$	31.1299	−	19.2853i	1.12772	−	0.698633i
$763$	−3.15999	−	11.7932i	−0.114399	−	0.426944i
$764$	−18.4173	+	10.6332i	−0.666316	+	0.384697i
$765$	−22.4646	+	25.4429i	−0.812210	+	0.919889i
$766$		0			0
$767$	14.3166			0.516943
$768$	−26.5330	+	8.00000i	−0.957427	+	0.288675i
$769$	5.31662	+	9.20866i	0.191722	+	0.332073i	0.945821	−	0.324688i	$-0.105259\pi$
$769$	5.31662	+	9.20866i	0.191722	+	0.332073i	−0.754099	+	0.656761i	$0.771926\pi$
$770$	1.73007	+	0.463571i	0.0623474	+	0.0167059i
$771$	−14.9749	−	49.6662i	−0.539309	−	1.78869i
$772$			14.5330i			0.523054i
$773$	41.8458	+	11.2125i	1.50509	+	0.403287i	0.914801	−	0.403905i	$-0.132348\pi$
$773$	41.8458	+	11.2125i	1.50509	+	0.403287i	0.590288	+	0.807193i	$0.299014\pi$
$774$	45.7113	−	2.84172i	1.64306	−	0.102143i
$775$	−5.52506	−	9.56969i	−0.198466	−	0.343753i
$776$	27.1836	−	7.28381i	0.975833	−	0.261474i
$777$	30.4706	−	18.8769i	1.09313	−	0.677203i
$778$		−	45.8997i		−	1.64559i
$779$	8.75543	−	39.6552i	0.313696	−	1.42079i
$780$	44.0000	−	13.2665i	1.57545	−	0.475017i
$781$	0.134240	+	0.500990i	0.00480348	+	0.0179268i
$782$	−6.31998	−	23.5865i	−0.226002	−	0.843451i
$783$	26.8465	+	37.8662i	0.959415	+	1.35323i
$784$	−6.00000	+	10.3923i	−0.214286	+	0.371154i
$785$	−44.8597	+	25.8997i	−1.60111	+	0.924402i
$786$	−2.47494	−	8.20844i	−0.0882781	−	0.292785i
$787$	−10.5251	−	10.5251i	−0.375178	−	0.375178i	0.494181	−	0.869359i	$-0.335468\pi$
$787$	−10.5251	−	10.5251i	−0.375178	−	0.375178i	−0.869359	+	0.494181i	$0.835468\pi$
$788$	1.96437	−	7.33112i	0.0699777	−	0.261160i
$789$	−29.2185	+	31.0913i	−1.04021	+	1.10688i
$790$	26.5330			0.944002
$791$		−	35.8997i		−	1.27645i
$792$	−0.845963	+	1.70100i	−0.0300600	+	0.0604423i
$793$	26.6160	+	15.3668i	0.945162	+	0.545689i
$794$	−21.2462	+	12.2665i	−0.753999	+	0.435322i
$795$	37.9938	+	8.92630i	1.34750	+	0.316583i
$796$	−25.8939	−	14.9499i	−0.917786	−	0.529884i
$797$	−7.00000	−	7.00000i	−0.247953	−	0.247953i	0.572177	−	0.820130i	$-0.306099\pi$
$797$	−7.00000	−	7.00000i	−0.247953	−	0.247953i	−0.820130	+	0.572177i	$0.806099\pi$
$798$	20.1506	−	7.06775i	0.713324	−	0.250196i
$799$			8.00000i			0.283020i
$800$	−16.3923	+	4.39230i	−0.579555	+	0.155291i
$801$	2.46943	+	39.7228i	0.0872532	+	1.40354i
$802$	−4.52654	+	16.8933i	−0.159838	+	0.596523i
$803$	−0.387277	−	1.44534i	−0.0136667	−	0.0510049i
$804$	−17.0154	+	0.528387i	−0.600088	+	0.0186348i
$805$	−17.2665	−	17.2665i	−0.608564	−	0.608564i
$806$	24.4327			0.860607
$807$	−0.432097	−	13.9147i	−0.0152105	−	0.489819i
$808$	20.0000	+	34.6410i	0.703598	+	1.21867i
$809$	−18.5831			−0.653348			−0.326674	−	0.945137i	$-0.605928\pi$
$809$	−18.5831			−0.653348			−0.326674	+	0.945137i	$0.605928\pi$
$810$	−33.1662	−	14.0000i	−1.16534	−	0.491910i
$811$	−2.80052	−	0.750398i	−0.0983397	−	0.0263500i	0.209314	−	0.977849i	$-0.432877\pi$
$811$	−2.80052	−	0.750398i	−0.0983397	−	0.0263500i	−0.307653	+	0.951499i	$0.599544\pi$
$812$	−9.24818	−	34.5147i	−0.324548	−	1.21123i
$813$	−26.8462	+	28.5670i	−0.941538	+	1.00189i
$814$	3.16457	−	0.847944i	0.110918	−	0.0297204i
$815$	19.5831	−	33.9190i	0.685967	−	1.18813i
$816$	8.00000	+	26.5330i	0.280056	+	0.928841i
$817$	−25.3166	−	39.6635i	−0.885717	−	1.38765i
$818$	12.2665	+	12.2665i	0.428888	+	0.428888i
$819$	−21.0961	−	18.6267i	−0.737158	−	0.650869i
$820$	50.9070	−	13.6405i	1.77775	−	0.476346i
$821$	−17.6214	−	4.72164i	−0.614991	−	0.164786i	−0.0621411	−	0.998067i	$-0.519793\pi$
$821$	−17.6214	−	4.72164i	−0.614991	−	0.164786i	−0.552849	+	0.833281i	$0.686460\pi$
$822$	4.27844	+	6.90616i	0.149228	+	0.240880i
$823$	4.84169	+	8.38605i	0.168771	+	0.292319i	0.937988	−	0.346668i	$-0.112687\pi$
$823$	4.84169	+	8.38605i	0.168771	+	0.292319i	−0.769217	+	0.638987i	$0.779354\pi$
$824$	−16.6332	−	16.6332i	−0.579447	−	0.579447i
$825$	−0.550126	+	1.02506i	−0.0191529	+	0.0356881i
$826$	4.31662	+	7.47661i	0.150195	+	0.260145i
$827$	−3.35217	+	12.5105i	−0.116567	+	0.435032i	−0.999399	−	0.0346552i	$-0.988967\pi$
$827$	−3.35217	+	12.5105i	−0.116567	+	0.435032i	0.882833	+	0.469687i	$0.155633\pi$
$828$	21.5831	−	14.3166i	0.750065	−	0.497537i
$829$	16.2164	−	16.2164i	0.563218	−	0.563218i	−0.367002	−	0.930220i	$-0.619616\pi$
$829$	16.2164	−	16.2164i	0.563218	−	0.563218i	0.930220	+	0.367002i	$0.119616\pi$
$830$	1.23232	−	4.59907i	0.0427743	−	0.159636i
$831$	−36.6131	+	22.6822i	−1.27009	+	0.786836i
$832$	9.71175	−	36.2447i	0.336694	−	1.25656i
$833$	10.3923	+	6.00000i	0.360072	+	0.207888i
$834$	−46.5090	−	10.9269i	−1.61048	−	0.378367i
$835$	13.2665	+	13.2665i	0.459106	+	0.459106i
$836$	1.94987	−	0.0868201i	0.0674378	−	0.00300274i
$837$	−14.7335	−	12.2164i	−0.509264	−	0.422260i
$838$	23.6135	+	13.6332i	0.815714	+	0.470953i
$839$	−4.64774	−	2.68338i	−0.160458	−	0.0926404i	0.417621	−	0.908621i	$-0.362864\pi$
$839$	−4.64774	−	2.68338i	−0.160458	−	0.0926404i	−0.578079	+	0.815981i	$0.696197\pi$
$840$	20.1947	+	18.9783i	0.696783	+	0.654812i
$841$	−43.9937	−	25.3997i	−1.51702	−	0.875853i
$842$	1.00000	+	1.73205i	0.0344623	+	0.0596904i
$843$	−23.8246	+	7.18338i	−0.820561	+	0.247409i
$844$	−6.00000	+	6.00000i	−0.206529	+	0.206529i
$845$	−6.58846	+	24.5885i	−0.226650	+	0.845869i
$846$	−8.04410	+	2.70047i	−0.276562	+	0.0928440i
$847$			21.8997i			0.752484i
$848$	22.5330	−	22.5330i	0.773786	−	0.773786i
$849$	1.93799	−	0.0601811i	0.0665116	−	0.00206541i
$850$	4.39230	+	16.3923i	0.150655	+	0.562251i
$851$	−43.1433	−	11.5602i	−1.47893	−	0.396279i
$852$	−1.83543	+	7.81231i	−0.0628809	+	0.267645i
$853$	16.3238	−	4.37396i	0.558917	−	0.149761i	0.0317085	−	0.999497i	$-0.489905\pi$
$853$	16.3238	−	4.37396i	0.558917	−	0.149761i	0.527209	+	0.849736i	$0.323239\pi$
$854$			18.5330i			0.634186i
$855$	3.93469	+	36.7766i	0.134563	+	1.25773i
$856$		−	23.7995i		−	0.813450i
$857$	−1.60819	+	2.78546i	−0.0549346	+	0.0951495i	−0.892185	−	0.451670i	$-0.850828\pi$
$857$	−1.60819	+	2.78546i	−0.0549346	+	0.0951495i	0.837250	+	0.546820i	$0.184162\pi$
$858$	−1.35466	−	2.18666i	−0.0462473	−	0.0746513i
$859$	25.2372	+	6.76230i	0.861083	+	0.230727i	0.662228	−	0.749302i	$-0.269611\pi$
$859$	25.2372	+	6.76230i	0.861083	+	0.230727i	0.198855	+	0.980029i	$0.436278\pi$
$860$	30.5330	−	52.8847i	1.04117	−	1.80335i
$861$	−23.5183	−	22.1017i	−0.801502	−	0.753222i
$862$	10.3166	−	10.3166i	0.351386	−	0.351386i
$863$	36.2164			1.23282			0.616410	−	0.787425i	$-0.288586\pi$
$863$	36.2164			1.23282			0.616410	+	0.787425i	$0.288586\pi$
$864$	−23.9788	+	17.0005i	−0.815775	+	0.578370i
$865$	11.8997	+	20.6110i	0.404604	+	0.700794i
$866$	27.8997	−	27.8997i	0.948072	−	0.948072i
$867$	−1.65831	+	0.500000i	−0.0563192	+	0.0169809i
$868$	7.36675	+	12.7596i	0.250044	+	0.433089i
$869$	−0.384373	−	1.43450i	−0.0130389	−	0.0486620i
$870$	61.8602	−	1.92097i	2.09726	−	0.0651269i
$871$	11.5251	−	19.9620i	0.390512	−	0.676386i
$872$	8.63325	−	14.9532i	0.292359	−	0.506380i
$873$	24.8747	−	16.5000i	0.841881	−	0.558440i
$874$	−23.6135	−	12.2665i	−0.798738	−	0.414921i
$875$	−8.00000	−	8.00000i	−0.270449	−	0.270449i
$876$	5.29515	−	22.5382i	0.178907	−	0.761496i
$877$	−9.01640	−	33.6496i	−0.304462	−	1.13627i	−0.933407	−	0.358818i	$-0.883180\pi$
$877$	−9.01640	−	33.6496i	−0.304462	−	1.13627i	0.628945	−	0.777449i	$-0.283487\pi$
$878$	−15.9598	−	4.27641i	−0.538617	−	0.144322i
$879$	0.408445	+	0.659303i	0.0137765	+	0.0222377i
$880$	1.26650	+	2.19364i	0.0426937	+	0.0739476i
$881$		−	45.2164i		−	1.52338i	−0.647943	−	0.761689i	$-0.724370\pi$
$881$		−	45.2164i		−	1.52338i	0.647943	−	0.761689i	$-0.275630\pi$
$882$	−2.52506	+	12.4749i	−0.0850233	+	0.420053i
$883$	−8.20805	+	30.6329i	−0.276223	+	1.03088i	0.678795	+	0.734328i	$0.262503\pi$
$883$	−8.20805	+	30.6329i	−0.276223	+	1.03088i	−0.955017	+	0.296550i	$0.904164\pi$
$884$	−36.2447	−	9.71175i	−1.21904	−	0.326642i
$885$	−14.3166	+	4.31662i	−0.481248	+	0.145102i
$886$	19.5831			0.657908
$887$	16.0500	−	9.26650i	0.538908	−	0.311139i	−0.205728	−	0.978609i	$-0.565956\pi$
$887$	16.0500	−	9.26650i	0.538908	−	0.311139i	0.744636	+	0.667471i	$0.232623\pi$
$888$	49.3474	+	11.5937i	1.65599	+	0.389060i
$889$	−25.8939	+	14.9499i	−0.868455	+	0.501403i
$890$	45.9565	+	26.5330i	1.54047	+	0.889388i
$891$	−0.276440	+	1.99594i	−0.00926108	+	0.0668663i
$892$	−10.1003			−0.338181
$893$	6.43252	+	5.88411i	0.215256	+	0.196904i
$894$	5.31662	+	17.6332i	0.177815	+	0.589744i
$895$	−38.4799	−	22.2164i	−1.28624	−	0.742611i
$896$	21.8564	−	5.85641i	0.730171	−	0.195649i
$897$	1.08847	+	35.0515i	0.0363429	+	1.17034i
$898$	42.3468	−	11.3468i	1.41313	−	0.378647i
$899$	31.7826	+	8.51613i	1.06001	+	0.284029i
$900$	−15.0000	+	9.94987i	−0.500000	+	0.331662i
$901$	−22.5330	−	22.5330i	−0.750683	−	0.750683i
$902$	−1.47494	−	2.55467i	−0.0491100	−	0.0850611i
$903$	−37.3771	+	1.16069i	−1.24383	+	0.0386252i
$904$	35.8997	−	35.8997i	1.19401	−	1.19401i
$905$	−5.26650			−0.175064
$906$	54.3926	−	1.68907i	1.80707	−	0.0561156i
$907$	8.84256	+	33.0009i	0.293612	+	1.09578i	0.942313	+	0.334732i	$0.108646\pi$
$907$	8.84256	+	33.0009i	0.293612	+	1.09578i	−0.648701	+	0.761043i	$0.724687\pi$
$908$	6.24078	−	23.2909i	0.207108	−	0.772936i
$909$	31.8036	+	28.0808i	1.05486	+	0.931381i
$910$	−36.2447	+	9.71175i	−1.20150	+	0.321941i
$911$	−39.5831			−1.31145			−0.655724	−	0.755001i	$-0.727636\pi$
$911$	−39.5831			−1.31145			−0.655724	+	0.755001i	$0.727636\pi$
$912$	27.2184	+	13.0829i	0.901290	+	0.433217i
$913$	−0.266499			−0.00881983
$914$	4.09808	−	1.09808i	0.135552	−	0.0363211i
$915$	−31.2492	−	7.34173i	−1.03307	−	0.242710i
$916$	15.5273	+	4.16052i	0.513035	+	0.137467i
$917$	1.81178	+	6.76165i	0.0598302	+	0.223289i
$918$	17.0005	+	23.9788i	0.561101	+	0.791418i
$919$	−35.5831			−1.17378			−0.586889	−	0.809667i	$-0.699648\pi$
$919$	−35.5831			−1.17378			−0.586889	+	0.809667i	$0.699648\pi$
$920$		−	34.5330i		−	1.13852i
$921$	−0.440322	−	14.1795i	−0.0145091	−	0.467232i
$922$	1.31662	+	2.28046i	0.0433607	+	0.0751030i
$923$	−7.68338	−	7.68338i	−0.252901	−	0.252901i
$924$	0.733501	−	1.36675i	0.0241304	−	0.0449628i
$925$	29.9841	+	8.03421i	0.985871	+	0.264163i
$926$	−35.0841	+	9.40077i	−1.15294	+	0.308928i
$927$	−22.3396	−	11.1102i	−0.733730	−	0.364908i
$928$	25.2665	−	43.7629i	0.829413	−	1.43659i
$929$	1.32762	+	0.766499i	0.0435577	+	0.0251480i	0.521621	−	0.853178i	$-0.325328\pi$
$929$	1.32762	+	0.766499i	0.0435577	+	0.0251480i	−0.478063	+	0.878326i	$0.658661\pi$
$930$	−24.4327	+	7.36675i	−0.801181	+	0.241565i
$931$	12.4681	−	3.94300i	0.408624	−	0.129227i
$932$		−	4.73350i		−	0.155051i
$933$	−19.5308	−	4.58858i	−0.639409	−	0.150223i
$934$	29.6322	+	17.1082i	0.969597	+	0.559797i
$935$	2.19364	−	1.26650i	0.0717397	−	0.0414190i
$936$	−2.46943	−	39.7228i	−0.0807160	−	1.29838i
$937$	18.9223	−	10.9248i	0.618166	−	0.356898i	−0.157989	−	0.987441i	$-0.550501\pi$
$937$	18.9223	−	10.9248i	0.618166	−	0.356898i	0.776154	+	0.630543i	$0.217168\pi$
$938$	13.8997			0.453843
$939$	11.8166	+	39.1913i	0.385621	+	1.27896i
$940$	−2.92820	+	10.9282i	−0.0955075	+	0.356439i
$941$	0.402720	−	1.50297i	0.0131283	−	0.0489955i	−0.959051	−	0.283234i	$-0.908593\pi$
$941$	0.402720	−	1.50297i	0.0131283	−	0.0489955i	0.972179	+	0.234238i	$0.0752595\pi$
$942$	12.9499	+	42.9499i	0.421930	+	1.39938i
$943$			40.2164i			1.30963i
$944$	−3.15999	+	11.7932i	−0.102849	+	0.383837i
$945$	26.7123	+	12.2660i	0.868951	+	0.399012i
$946$	−3.30151	−	0.884638i	−0.107341	−	0.0287621i
$947$	13.9698	+	52.1361i	0.453958	+	1.69419i	0.691133	+	0.722728i	$0.257112\pi$
$947$	13.9698	+	52.1361i	0.453958	+	1.69419i	−0.237175	+	0.971467i	$0.576221\pi$
$948$	5.25544	−	22.3692i	0.170689	−	0.726517i
$949$	22.1662	+	22.1662i	0.719547	+	0.719547i
$950$	16.4111	+	8.52506i	0.532446	+	0.276590i
$951$	−5.10819	−	2.74144i	−0.165644	−	0.0888972i
$952$	−5.85641	−	21.8564i	−0.189807	−	0.708370i
$953$	−13.9248	+	24.1185i	−0.451069	+	0.781274i	−0.998453	−	0.0556074i	$-0.982290\pi$
$953$	−13.9248	+	24.1185i	−0.451069	+	0.781274i	0.547384	+	0.836882i	$0.315624\pi$
$954$	15.0510	−	30.2634i	0.487294	−	0.979814i
$955$	7.78408	+	29.0506i	0.251887	+	0.940055i
$956$	5.83138	−	3.36675i	0.188600	−	0.108888i
$957$	−1.00000	−	3.31662i	−0.0323254	−	0.107211i
$958$	6.63325	−	6.63325i	0.214311	−	0.214311i
$959$	−3.31662	−	5.74456i	−0.107099	−	0.185502i
$960$	1.21645	+	39.1730i	0.0392608	+	1.26430i
$961$	17.4327			0.562347
$962$	−48.5330	+	48.5330i	−1.56477	+	1.56477i
$963$	−8.03372	−	23.9307i	−0.258883	−	0.771155i
$964$	21.7946	+	12.5831i	0.701957	+	0.405275i
$965$	19.8524	+	5.31945i	0.639073	+	0.171239i
$966$	−17.9769	+	11.1369i	−0.578397	+	0.358323i
$967$	25.6913	−	44.4987i	0.826177	−	1.43098i	−0.0748397	−	0.997196i	$-0.523845\pi$
$967$	25.6913	−	44.4987i	0.826177	−	1.43098i	0.901017	−	0.433785i	$-0.142822\pi$
$968$	−21.8997	+	21.8997i	−0.703885	+	0.703885i
$969$	13.0829	−	27.2184i	0.420282	−	0.874380i
$970$		−	39.7995i		−	1.27788i
$971$	−23.7343	+	6.35958i	−0.761669	+	0.204089i	−0.618688	−	0.785637i	$-0.712335\pi$
$971$	−23.7343	+	6.35958i	−0.761669	+	0.204089i	−0.142981	+	0.989725i	$0.545669\pi$
$972$	−18.3723	+	25.1885i	−0.589291	+	0.807921i
$973$	37.6792	+	10.0961i	1.20794	+	0.323667i
$974$	6.47256	+	24.1559i	0.207394	+	0.774006i
$975$	−0.756471	−	24.3604i	−0.0242265	−	0.780156i
$976$	−18.5330	+	18.5330i	−0.593227	+	0.593227i
$977$			48.8997i			1.56444i	0.623001	+	0.782221i	$0.285913\pi$
$977$			48.8997i			1.56444i	−0.623001	+	0.782221i	$0.714087\pi$
$978$	−24.7172	−	23.2283i	−0.790369	−	0.742760i
$979$	0.768745	−	2.86900i	0.0245692	−	0.0916935i
$980$	12.0000	+	12.0000i	0.383326	+	0.383326i
$981$	3.63325	−	17.9499i	0.116001	−	0.573095i
$982$	4.68338	+	8.11184i	0.149453	+	0.258859i
$983$	51.8747	+	29.9499i	1.65455	+	0.955253i	0.975169	+	0.221464i	$0.0710834\pi$
$983$	51.8747	+	29.9499i	1.65455	+	0.955253i	0.679377	+	0.733789i	$0.262250\pi$
$984$	−1.41665	−	45.6200i	−0.0451613	−	1.45431i
$985$	−9.29548	−	5.36675i	−0.296179	−	0.170999i
$986$	−43.7629	−	25.2665i	−1.39369	−	0.804649i
$987$	6.63325	−	2.00000i	0.211139	−	0.0636607i
$988$	−34.4674	+	22.0000i	−1.09655	+	0.699913i
$989$	32.9499	+	32.9499i	1.04775	+	1.04775i
$990$	2.01396	+	1.77821i	0.0640079	+	0.0565154i
$991$	21.9683	+	12.6834i	0.697844	+	0.402901i	0.806544	−	0.591174i	$-0.201335\pi$
$991$	21.9683	+	12.6834i	0.697844	+	0.402901i	−0.108700	+	0.994075i	$0.534669\pi$
$992$	−5.39284	+	20.1263i	−0.171223	+	0.639012i
$993$	24.2411	+	39.1294i	0.769267	+	1.24173i
$994$	1.69589	−	6.32914i	0.0537903	−	0.200748i
$995$	−29.8997	+	29.8997i	−0.947886	+	0.947886i
$996$	−3.63325	−	1.94987i	−0.115124	−	0.0617841i
$997$	4.66078	−	17.3943i	0.147609	−	0.550883i	−0.852017	−	0.523514i	$-0.824621\pi$
$997$	4.66078	−	17.3943i	0.147609	−	0.550883i	0.999625	−	0.0273682i	$-0.00871267\pi$
$998$	22.4749	+	38.9277i	0.711432	+	1.23224i
$999$	53.5330	−	5.00000i	1.69371	−	0.158193i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	912.2.bv.a.11.2	✓	8
3.2	odd	2		912.2.bv.b.11.2	yes	8
16.3	odd	4		912.2.bv.b.467.1	yes	8
19.7	even	3	inner	912.2.bv.a.539.2	yes	8
48.35	even	4	inner	912.2.bv.a.467.2	yes	8
57.26	odd	6		912.2.bv.b.539.1	yes	8
304.83	odd	12		912.2.bv.b.83.2	yes	8
912.83	even	12	inner	912.2.bv.a.83.2	yes	8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
912.2.bv.a.11.2	✓	8	1.1	even	1	trivial
912.2.bv.a.83.2	yes	8	912.83	even	12	inner
912.2.bv.a.467.2	yes	8	48.35	even	4	inner
912.2.bv.a.539.2	yes	8	19.7	even	3	inner
912.2.bv.b.11.2	yes	8	3.2	odd	2
912.2.bv.b.83.2	yes	8	304.83	odd	12
912.2.bv.b.467.1	yes	8	16.3	odd	4
912.2.bv.b.539.1	yes	8	57.26	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:	\( N \)	\(=\)	\( 912 = 2^{4} \cdot 3 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	912.bv (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.366025 + 1.36603i) q^{2} +(0.396143 - 1.68614i) q^{3} +(-1.73205 + 1.00000i) q^{4} +(0.732051 + 2.73205i) q^{5} +(2.44831 - 0.0760282i) q^{6} -2.00000 q^{7} +(-2.00000 - 2.00000i) q^{8} +(-2.68614 - 1.33591i) q^{9} +O(q^{10})\)	\(q+(0.366025 + 1.36603i) q^{2} +(0.396143 - 1.68614i) q^{3} +(-1.73205 + 1.00000i) q^{4} +(0.732051 + 2.73205i) q^{5} +(2.44831 - 0.0760282i) q^{6} -2.00000 q^{7} +(-2.00000 - 2.00000i) q^{8} +(-2.68614 - 1.33591i) q^{9} +(-3.46410 + 2.00000i) q^{10} +(0.158312 + 0.158312i) q^{11} +(1.00000 + 3.31662i) q^{12} +(-4.53059 - 1.21397i) q^{13} +(-0.732051 - 2.73205i) q^{14} +(4.89662 - 0.152056i) q^{15} +(2.00000 - 3.46410i) q^{16} +(-3.46410 - 2.00000i) q^{17} +(0.841688 - 4.15831i) q^{18} +(-4.15602 + 1.31433i) q^{19} +(-4.00000 - 4.00000i) q^{20} +(-0.792287 + 3.37228i) q^{21} +(-0.158312 + 0.274205i) q^{22} +(3.73831 - 2.15831i) q^{23} +(-4.16457 + 2.57999i) q^{24} +(-2.59808 + 1.50000i) q^{25} -6.63325i q^{26} +(-3.31662 + 4.00000i) q^{27} +(3.46410 - 2.00000i) q^{28} +(2.31205 - 8.62867i) q^{29} +(2.00000 + 6.63325i) q^{30} +3.68338i q^{31} +(5.46410 + 1.46410i) q^{32} +(0.329651 - 0.204223i) q^{33} +(1.46410 - 5.46410i) q^{34} +(-1.46410 - 5.46410i) q^{35} +(5.98844 - 0.372281i) q^{36} +(-7.31662 - 7.31662i) q^{37} +(-3.31662 - 5.19615i) q^{38} +(-3.84169 + 7.15831i) q^{39} +(4.00000 - 6.92820i) q^{40} +(-4.65831 + 8.06843i) q^{41} +(-4.89662 + 0.152056i) q^{42} +(2.79396 + 10.4272i) q^{43} +(-0.432518 - 0.115893i) q^{44} +(1.68338 - 8.31662i) q^{45} +(4.31662 + 4.31662i) q^{46} +(-1.00000 - 1.73205i) q^{47} +(-5.04868 - 4.74456i) q^{48} -3.00000 q^{49} +(-3.00000 - 3.00000i) q^{50} +(-4.74456 + 5.04868i) q^{51} +(9.06119 - 2.42794i) q^{52} +(7.69516 + 2.06191i) q^{53} +(-6.67807 - 3.06649i) q^{54} +(-0.316625 + 0.548410i) q^{55} +(4.00000 + 4.00000i) q^{56} +(0.569772 + 7.52830i) q^{57} +12.6332 q^{58} +(-2.94831 + 0.789997i) q^{59} +(-8.32914 + 5.15999i) q^{60} +(-6.32914 - 1.69589i) q^{61} +(-5.03158 + 1.34821i) q^{62} +(5.37228 + 2.67181i) q^{63} +8.00000i q^{64} -13.2665i q^{65} +(0.399634 + 0.375562i) q^{66} +(-1.27192 + 4.74685i) q^{67} +8.00000 q^{68} +(-2.15831 - 7.15831i) q^{69} +(6.92820 - 4.00000i) q^{70} +(2.00626 + 1.15831i) q^{71} +(2.70047 + 8.04410i) q^{72} +(-5.78797 - 3.34169i) q^{73} +(7.31662 - 12.6728i) q^{74} +(1.50000 + 4.97494i) q^{75} +(5.88411 - 6.43252i) q^{76} +(-0.316625 - 0.316625i) q^{77} +(-11.1846 - 2.62772i) q^{78} +(-5.74456 - 3.31662i) q^{79} +(10.9282 + 2.92820i) q^{80} +(5.43070 + 7.17687i) q^{81} +(-12.7267 - 3.41012i) q^{82} +(-0.841688 + 0.841688i) q^{83} +(-2.00000 - 6.63325i) q^{84} +(2.92820 - 10.9282i) q^{85} +(-13.2212 + 7.63325i) q^{86} +(-13.6332 - 7.31662i) q^{87} -0.633250i q^{88} +(-6.63325 - 11.4891i) q^{89} +(11.9769 - 0.744563i) q^{90} +(9.06119 + 2.42794i) q^{91} +(-4.31662 + 7.47661i) q^{92} +(6.21069 + 1.45915i) q^{93} +(2.00000 - 2.00000i) q^{94} +(-6.63325 - 10.3923i) q^{95} +(4.63325 - 8.63325i) q^{96} +(-4.97494 + 8.61684i) q^{97} +(-1.09808 - 4.09808i) q^{98} +(-0.213759 - 0.636740i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q - 4 q^{2} - 8 q^{5} - 2 q^{6} - 16 q^{7} - 16 q^{8} - 10 q^{9}+O(q^{10}) \) 8 * q - 4 * q^2 - 8 * q^5 - 2 * q^6 - 16 * q^7 - 16 * q^8 - 10 * q^9	\( 8 q - 4 q^{2} - 8 q^{5} - 2 q^{6} - 16 q^{7} - 16 q^{8} - 10 q^{9} - 12 q^{11} + 8 q^{12} + 8 q^{14} - 4 q^{15} + 16 q^{16} + 20 q^{18} - 18 q^{19} - 32 q^{20} + 12 q^{22} - 4 q^{24} - 12 q^{29} + 16 q^{30} + 16 q^{32} + 8 q^{33} - 16 q^{34} + 16 q^{35} - 32 q^{37} - 44 q^{39} + 32 q^{40} - 24 q^{41} + 4 q^{42} - 4 q^{43} + 12 q^{44} + 40 q^{45} + 8 q^{46} - 8 q^{47} - 24 q^{49} - 24 q^{50} + 8 q^{51} - 4 q^{53} - 16 q^{54} + 24 q^{55} + 32 q^{56} + 22 q^{57} + 48 q^{58} - 2 q^{59} - 8 q^{60} + 8 q^{61} - 28 q^{62} + 20 q^{63} + 22 q^{66} - 6 q^{67} + 64 q^{68} - 4 q^{69} + 20 q^{72} + 32 q^{74} + 12 q^{75} + 36 q^{76} + 24 q^{77} + 32 q^{80} - 14 q^{81} - 24 q^{82} - 20 q^{83} - 16 q^{84} - 32 q^{85} - 56 q^{87} - 8 q^{92} + 14 q^{93} + 16 q^{94} - 16 q^{96} + 12 q^{98} + 4 q^{99}+O(q^{100}) \) 8 * q - 4 * q^2 - 8 * q^5 - 2 * q^6 - 16 * q^7 - 16 * q^8 - 10 * q^9 - 12 * q^11 + 8 * q^12 + 8 * q^14 - 4 * q^15 + 16 * q^16 + 20 * q^18 - 18 * q^19 - 32 * q^20 + 12 * q^22 - 4 * q^24 - 12 * q^29 + 16 * q^30 + 16 * q^32 + 8 * q^33 - 16 * q^34 + 16 * q^35 - 32 * q^37 - 44 * q^39 + 32 * q^40 - 24 * q^41 + 4 * q^42 - 4 * q^43 + 12 * q^44 + 40 * q^45 + 8 * q^46 - 8 * q^47 - 24 * q^49 - 24 * q^50 + 8 * q^51 - 4 * q^53 - 16 * q^54 + 24 * q^55 + 32 * q^56 + 22 * q^57 + 48 * q^58 - 2 * q^59 - 8 * q^60 + 8 * q^61 - 28 * q^62 + 20 * q^63 + 22 * q^66 - 6 * q^67 + 64 * q^68 - 4 * q^69 + 20 * q^72 + 32 * q^74 + 12 * q^75 + 36 * q^76 + 24 * q^77 + 32 * q^80 - 14 * q^81 - 24 * q^82 - 20 * q^83 - 16 * q^84 - 32 * q^85 - 56 * q^87 - 8 * q^92 + 14 * q^93 + 16 * q^94 - 16 * q^96 + 12 * q^98 + 4 * q^99

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