LMFDB - Embedded newform 912.2.bv.b.539.1

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:	$0$
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			539.1
Root			$0.396143 + 1.68614i$ of defining polynomial
Character	$\chi$	$=$	912.539
Dual form			912.2.bv.b.467.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.36603 + 0.366025i) q^{2} +(-1.68614 + 0.396143i) q^{3} +(1.73205 + 1.00000i) q^{4} +(2.73205 + 0.732051i) q^{5} +(-2.44831 - 0.0760282i) q^{6} -2.00000 q^{7} +(2.00000 + 2.00000i) q^{8} +(2.68614 - 1.33591i) q^{9} +O(q^{10})$	\(q+(1.36603 + 0.366025i) q^{2} +(-1.68614 + 0.396143i) q^{3} +(1.73205 + 1.00000i) q^{4} +(2.73205 + 0.732051i) 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} +(-3.31662 - 1.00000i) q^{12} +(1.21397 + 4.53059i) q^{13} +(-2.73205 - 0.732051i) q^{14} +(-4.89662 - 0.152056i) q^{15} +(2.00000 + 3.46410i) q^{16} +(-3.46410 + 2.00000i) q^{17} +(4.15831 - 0.841688i) q^{18} +(1.31433 - 4.15602i) q^{19} +(4.00000 + 4.00000i) q^{20} +(3.37228 - 0.792287i) 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} +(-4.00000 + 3.31662i) q^{27} +(-3.46410 - 2.00000i) q^{28} +(8.62867 - 2.31205i) q^{29} +(-6.63325 - 2.00000i) q^{30} +3.68338i q^{31} +(1.46410 + 5.46410i) q^{32} +(0.329651 + 0.204223i) q^{33} +(-5.46410 + 1.46410i) q^{34} +(-5.46410 - 1.46410i) 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} +(-10.4272 - 2.79396i) q^{43} +(-0.115893 - 0.432518i) q^{44} +(8.31662 - 1.68338i) q^{45} +(4.31662 + 4.31662i) q^{46} +(1.00000 - 1.73205i) q^{47} +(-4.74456 - 5.04868i) q^{48} -3.00000 q^{49} +(3.00000 + 3.00000i) q^{50} +(5.04868 - 4.74456i) q^{51} +(-2.42794 + 9.06119i) q^{52} +(2.06191 + 7.69516i) 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} +(-0.789997 + 2.94831i) q^{59} +(-8.32914 - 5.15999i) q^{60} +(1.69589 + 6.32914i) q^{61} +(-1.34821 + 5.03158i) q^{62} +(-5.37228 + 2.67181i) q^{63} +8.00000i q^{64} +13.2665i q^{65} +(0.375562 + 0.399634i) q^{66} +(4.74685 - 1.27192i) q^{67} -8.00000 q^{68} +(-7.15831 - 2.15831i) q^{69} +(-6.92820 - 4.00000i) q^{70} +(2.00626 - 1.15831i) q^{71} +(8.04410 + 2.70047i) q^{72} +(5.78797 - 3.34169i) q^{73} +(-7.31662 - 12.6728i) q^{74} +(-4.97494 - 1.50000i) q^{75} +(6.43252 - 5.88411i) q^{76} +(0.316625 + 0.316625i) q^{77} +(-2.62772 - 11.1846i) q^{78} +(5.74456 - 3.31662i) q^{79} +(2.92820 + 10.9282i) q^{80} +(5.43070 - 7.17687i) q^{81} +(3.41012 + 12.7267i) q^{82} +(0.841688 - 0.841688i) q^{83} +(6.63325 + 2.00000i) q^{84} +(-10.9282 + 2.92820i) 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} +(-2.42794 - 9.06119i) q^{91} +(4.31662 + 7.47661i) q^{92} +(-1.45915 - 6.21069i) 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} +(-4.09808 - 1.09808i) q^{98} +(-0.636740 - 0.213759i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q + 4 q^{2} - 2 q^{3} + 8 q^{5} + 2 q^{6} - 16 q^{7} + 16 q^{8} + 10 q^{9}+O(q^{10}) $ 8 * q + 4 * q^2 - 2 * q^3 + 8 * q^5 + 2 * q^6 - 16 * q^7 + 16 * q^8 + 10 * q^9	$ 8 q + 4 q^{2} - 2 q^{3} + 8 q^{5} + 2 q^{6} - 16 q^{7} + 16 q^{8} + 10 q^{9} + 12 q^{11} - 8 q^{14} + 4 q^{15} + 16 q^{16} + 20 q^{18} - 18 q^{19} + 32 q^{20} + 4 q^{21} + 12 q^{22} - 4 q^{24} - 32 q^{27} + 12 q^{29} - 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} + 8 q^{48} - 24 q^{49} + 24 q^{50} + 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} + 6 q^{66} - 6 q^{67} - 64 q^{68} - 44 q^{69} + 20 q^{72} - 32 q^{74} + 36 q^{76} - 24 q^{77} - 44 q^{78} - 32 q^{80} - 14 q^{81} - 24 q^{82} + 20 q^{83} - 32 q^{85} - 56 q^{87} + 8 q^{92} + 22 q^{93} + 16 q^{94} + 16 q^{96} - 12 q^{98} + 26 q^{99}+O(q^{100}) $ 8 * q + 4 * q^2 - 2 * q^3 + 8 * q^5 + 2 * q^6 - 16 * q^7 + 16 * q^8 + 10 * q^9 + 12 * q^11 - 8 * q^14 + 4 * q^15 + 16 * q^16 + 20 * q^18 - 18 * q^19 + 32 * q^20 + 4 * q^21 + 12 * q^22 - 4 * q^24 - 32 * q^27 + 12 * q^29 - 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 + 8 * q^48 - 24 * q^49 + 24 * q^50 + 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 + 6 * q^66 - 6 * q^67 - 64 * q^68 - 44 * q^69 + 20 * q^72 - 32 * q^74 + 36 * q^76 - 24 * q^77 - 44 * q^78 - 32 * q^80 - 14 * q^81 - 24 * q^82 + 20 * q^83 - 32 * q^85 - 56 * q^87 + 8 * q^92 + 22 * q^93 + 16 * q^94 + 16 * q^96 - 12 * q^98 + 26 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

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 $

$2$	1.36603	+	0.366025i	0.965926	+	0.258819i
$2$	1.36603	+	0.366025i	0.965926	+	0.258819i
$3$	−1.68614	+	0.396143i	−0.973494	+	0.228714i
$3$	−1.68614	+	0.396143i	−0.973494	+	0.228714i
$4$	1.73205	+	1.00000i	0.866025	+	0.500000i
$5$	2.73205	+	0.732051i	1.22181	+	0.327383i	0.811386	−	0.584511i	$-0.198714\pi$
$5$	2.73205	+	0.732051i	1.22181	+	0.327383i	0.410425	+	0.911894i	$0.365380\pi$
$6$	−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	0.682837	−	0.730570i	$-0.260746\pi$
$11$	−0.158312	−	0.158312i	−0.0477330	−	0.0477330i	−0.730570	+	0.682837i	$0.760746\pi$
$12$	−3.31662	−	1.00000i	−0.957427	−	0.288675i
$13$	1.21397	+	4.53059i	0.336694	+	1.25656i	0.902021	+	0.431693i	$0.142084\pi$
$13$	1.21397	+	4.53059i	0.336694	+	1.25656i	−0.565326	+	0.824867i	$0.691250\pi$
$14$	−2.73205	−	0.732051i	−0.730171	−	0.195649i
$15$	−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	−0.857321	−	0.514782i	$-0.827873\pi$
$17$	−3.46410	+	2.00000i	−0.840168	+	0.485071i	0.0171533	+	0.999853i	$0.494540\pi$
$18$	4.15831	−	0.841688i	0.980124	−	0.198388i
$19$	1.31433	−	4.15602i	0.301529	−	0.953457i
$19$	1.31433	−	4.15602i	0.301529	−	0.953457i
$20$	4.00000	+	4.00000i	0.894427	+	0.894427i
$21$	3.37228	−	0.792287i	0.735892	−	0.172891i
$22$	−0.158312	−	0.274205i	−0.0337523	−	0.0584607i
$23$	3.73831	+	2.15831i	0.779491	+	0.450039i	0.836250	−	0.548349i	$-0.184743\pi$
$23$	3.73831	+	2.15831i	0.779491	+	0.450039i	−0.0567590	+	0.998388i	$0.518077\pi$
$24$	−4.16457	−	2.57999i	−0.850089	−	0.526639i
$25$	2.59808	+	1.50000i	0.519615	+	0.300000i
$26$			6.63325i			1.30089i
$27$	−4.00000	+	3.31662i	−0.769800	+	0.638285i
$28$	−3.46410	−	2.00000i	−0.654654	−	0.377964i
$29$	8.62867	−	2.31205i	1.60230	−	0.429336i	0.656566	−	0.754268i	$-0.272008\pi$
$29$	8.62867	−	2.31205i	1.60230	−	0.429336i	0.945737	+	0.324932i	$0.105341\pi$
$30$	−6.63325	−	2.00000i	−1.21106	−	0.365148i
$31$			3.68338i			0.661554i	0.943709	+	0.330777i	$0.107311\pi$
$31$			3.68338i			0.661554i	−0.943709	+	0.330777i	$0.892689\pi$
$32$	1.46410	+	5.46410i	0.258819	+	0.965926i
$33$	0.329651	+	0.204223i	0.0573849	+	0.0355506i
$34$	−5.46410	+	1.46410i	−0.937086	+	0.251091i
$35$	−5.46410	−	1.46410i	−0.923602	−	0.247478i
$36$	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	0.957934	+	0.286988i	$0.0926541\pi$
$41$	4.65831	+	8.06843i	0.727506	+	1.26008i	−0.230428	+	0.973089i	$0.574013\pi$
$42$	4.89662	+	0.152056i	0.755565	+	0.0234628i
$43$	−10.4272	−	2.79396i	−1.59014	−	0.426075i	−0.648091	−	0.761563i	$-0.724432\pi$
$43$	−10.4272	−	2.79396i	−1.59014	−	0.426075i	−0.942045	+	0.335488i	$0.891099\pi$
$44$	−0.115893	−	0.432518i	−0.0174715	−	0.0652045i
$45$	8.31662	−	1.68338i	1.23977	−	0.250943i
$46$	4.31662	+	4.31662i	0.636452	+	0.636452i
$47$	1.00000	−	1.73205i	0.145865	−	0.252646i	−0.783830	−	0.620975i	$-0.786737\pi$
$47$	1.00000	−	1.73205i	0.145865	−	0.252646i	0.929695	+	0.368329i	$0.120070\pi$
$48$	−4.74456	−	5.04868i	−0.684819	−	0.728714i
$49$	−3.00000			−0.428571
$50$	3.00000	+	3.00000i	0.424264	+	0.424264i
$51$	5.04868	−	4.74456i	0.706956	−	0.664372i
$52$	−2.42794	+	9.06119i	−0.336694	+	1.25656i
$53$	2.06191	+	7.69516i	0.283225	+	1.05701i	0.950126	+	0.311865i	$0.100954\pi$
$53$	2.06191	+	7.69516i	0.283225	+	1.05701i	−0.666901	+	0.745146i	$0.732380\pi$
$54$	−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
$59$	−0.789997	+	2.94831i	−0.102849	+	0.383837i	−0.998092	−	0.0617403i	$-0.980335\pi$
$59$	−0.789997	+	2.94831i	−0.102849	+	0.383837i	0.895243	+	0.445577i	$0.147002\pi$
$60$	−8.32914	−	5.15999i	−1.07529	−	0.666152i
$61$	1.69589	+	6.32914i	0.217136	+	0.810363i	0.985404	+	0.170234i	$0.0544524\pi$
$61$	1.69589	+	6.32914i	0.217136	+	0.810363i	−0.768268	+	0.640129i	$0.778881\pi$
$62$	−1.34821	+	5.03158i	−0.171223	+	0.639012i
$63$	−5.37228	+	2.67181i	−0.676844	+	0.336617i
$64$			8.00000i			1.00000i
$65$			13.2665i			1.64551i
$66$	0.375562	+	0.399634i	0.0462284	+	0.0491915i
$67$	4.74685	−	1.27192i	0.579920	−	0.155389i	0.0430779	−	0.999072i	$-0.486284\pi$
$67$	4.74685	−	1.27192i	0.579920	−	0.155389i	0.536842	+	0.843683i	$0.319617\pi$
$68$	−8.00000			−0.970143
$69$	−7.15831	−	2.15831i	−0.861760	−	0.259830i
$70$	−6.92820	−	4.00000i	−0.828079	−	0.478091i
$71$	2.00626	−	1.15831i	0.238099	−	0.137466i	−0.376204	−	0.926537i	$-0.622771\pi$
$71$	2.00626	−	1.15831i	0.238099	−	0.137466i	0.614303	+	0.789071i	$0.289437\pi$
$72$	8.04410	+	2.70047i	0.948006	+	0.318253i
$73$	5.78797	−	3.34169i	0.677431	−	0.391115i	−0.121455	−	0.992597i	$-0.538756\pi$
$73$	5.78797	−	3.34169i	0.677431	−	0.391115i	0.798886	+	0.601482i	$0.205423\pi$
$74$	−7.31662	−	12.6728i	−0.850540	−	1.47318i
$75$	−4.97494	−	1.50000i	−0.574456	−	0.173205i
$76$	6.43252	−	5.88411i	0.737860	−	0.674953i
$77$	0.316625	+	0.316625i	0.0360827	+	0.0360827i
$78$	−2.62772	−	11.1846i	−0.297531	−	1.26641i
$79$	5.74456	−	3.31662i	0.646314	−	0.373149i	−0.140729	−	0.990048i	$-0.544945\pi$
$79$	5.74456	−	3.31662i	0.646314	−	0.373149i	0.787043	+	0.616899i	$0.211611\pi$
$80$	2.92820	+	10.9282i	0.327383	+	1.22181i
$81$	5.43070	−	7.17687i	0.603411	−	0.797430i
$82$	3.41012	+	12.7267i	0.376585	+	1.40543i
$83$	0.841688	−	0.841688i	0.0923872	−	0.0923872i	−0.659403	−	0.751790i	$-0.729191\pi$
$83$	0.841688	−	0.841688i	0.0923872	−	0.0923872i	0.751790	+	0.659403i	$0.229191\pi$
$84$	6.63325	+	2.00000i	0.723747	+	0.218218i
$85$	−10.9282	+	2.92820i	−1.18533	+	0.317608i
$86$	−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	−0.264242	−	0.964457i	$-0.585122\pi$
$89$	6.63325	−	11.4891i	0.703123	−	1.21784i	0.967365	−	0.253388i	$-0.0815450\pi$
$90$	11.9769	+	0.744563i	1.26247	+	0.0784838i
$91$	−2.42794	−	9.06119i	−0.254517	−	0.949871i
$92$	4.31662	+	7.47661i	0.450039	+	0.779491i
$93$	−1.45915	−	6.21069i	−0.151306	−	0.644018i
$94$	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	−0.999982	−	0.00593185i	$-0.998112\pi$
$97$	−4.97494	−	8.61684i	−0.505128	−	0.874908i	0.494854	−	0.868976i	$-0.335222\pi$
$98$	−4.09808	−	1.09808i	−0.413968	−	0.110922i
$99$	−0.636740	−	0.213759i	−0.0639948	−	0.0214836i
$100$	3.00000	+	5.19615i	0.300000	+	0.519615i
$101$	−3.66025	−	13.6603i	−0.364209	−	1.35925i	−0.868490	−	0.495707i	$-0.834909\pi$
$101$	−3.66025	−	13.6603i	−0.364209	−	1.35925i	0.504281	−	0.863540i	$-0.331758\pi$
$102$	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	0.358380	−	0.933576i	$-0.383329\pi$
$107$	−5.94987	−	5.94987i	−0.575196	−	0.575196i	−0.933576	+	0.358380i	$0.883329\pi$
$108$	−10.2448	+	1.74456i	−0.985809	+	0.167871i
$109$	−5.89662	−	1.57999i	−0.564794	−	0.151336i	−0.0348859	−	0.999391i	$-0.511107\pi$
$109$	−5.89662	−	1.57999i	−0.564794	−	0.151336i	−0.529908	+	0.848055i	$0.677773\pi$
$110$	−0.231785	−	0.865035i	−0.0220999	−	0.0824779i
$111$	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	$-0.680022\pi$
$113$		−	17.9499i		−	1.68858i	0.535885	−	0.844291i	$-0.319978\pi$
$114$	−3.53387	+	10.0753i	−0.330978	+	0.943639i
$115$	8.63325	+	8.63325i	0.805055	+	0.805055i
$116$	17.2573	+	4.62409i	1.60230	+	0.429336i
$117$	9.31334	+	10.5481i	0.861019	+	0.975169i
$118$	−2.15831	+	3.73831i	−0.198689	+	0.344139i
$119$	6.92820	−	4.00000i	0.635107	−	0.366679i
$120$	−9.48913	−	10.0974i	−0.866235	−	0.921758i
$121$		−	10.9499i		−	0.995443i
$122$			9.26650i			0.838949i
$123$	−11.0508	−	11.7592i	−0.996420	−	1.06029i
$124$	−3.68338	+	6.37979i	−0.330777	+	0.572922i
$125$	−4.00000	−	4.00000i	−0.357771	−	0.357771i
$126$	−8.31662	+	1.68338i	−0.740904	+	0.149967i
$127$	−12.9470	−	7.47494i	−1.14886	−	0.663293i	−0.200249	−	0.979745i	$-0.564175\pi$
$127$	−12.9470	−	7.47494i	−1.14886	−	0.663293i	−0.948609	+	0.316452i	$0.897509\pi$
$128$	−2.92820	+	10.9282i	−0.258819	+	0.965926i
$129$	18.6886	+	0.580343i	1.64544	+	0.0510963i
$130$	−4.85588	+	18.1224i	−0.425888	+	1.58944i
$131$	−3.38083	−	0.905890i	−0.295384	−	0.0791480i	0.108084	−	0.994142i	$-0.465529\pi$
$131$	−3.38083	−	0.905890i	−0.295384	−	0.0791480i	−0.403468	+	0.914994i	$0.632195\pi$
$132$	0.366750	+	0.683375i	0.0319215	+	0.0594802i
$133$	−2.62867	+	8.31205i	−0.227935	+	0.720746i
$134$	6.94987			0.600378
$135$	−13.3561	+	6.13298i	−1.14951	+	0.527843i
$136$	−10.9282	−	2.92820i	−0.937086	−	0.251091i
$137$	−1.65831	+	2.87228i	−0.141679	+	0.245396i	−0.928129	−	0.372259i	$-0.878583\pi$
$137$	−1.65831	+	2.87228i	−0.141679	+	0.245396i	0.786450	+	0.617654i	$0.211917\pi$
$138$	−8.98844	−	5.56843i	−0.765147	−	0.474017i
$139$	5.04806	+	18.8396i	0.428171	+	1.59796i	0.756899	+	0.653532i	$0.226713\pi$
$139$	5.04806	+	18.8396i	0.428171	+	1.59796i	−0.328728	+	0.944425i	$0.606620\pi$
$140$	−8.00000	−	8.00000i	−0.676123	−	0.676123i
$141$	−1.00000	+	3.31662i	−0.0842152	+	0.279310i
$142$	3.16457	−	0.847944i	0.265565	−	0.0711578i
$143$	0.525063	−	0.909435i	0.0439080	−	0.0760508i
$144$	10.0000	+	6.63325i	0.833333	+	0.552771i
$145$	25.2665			2.09827
$146$	9.12966	−	2.44629i	0.755576	−	0.202456i
$147$	5.05842	−	1.18843i	0.417212	−	0.0980201i
$148$	−5.35614	−	19.9894i	−0.440272	−	1.64312i
$149$	7.26264	+	1.94602i	0.594979	+	0.159424i	0.543728	−	0.839262i	$-0.317012\pi$
$149$	7.26264	+	1.94602i	0.594979	+	0.159424i	0.0512512	+	0.998686i	$0.483679\pi$
$150$	−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
$155$	−2.69642	+	10.0632i	−0.216581	+	0.808293i
$156$	0.504314	−	16.2402i	0.0403775	−	1.30026i
$157$	−17.6899	−	4.73998i	−1.41180	−	0.378292i	−0.529235	−	0.848475i	$-0.677521\pi$
$157$	−17.6899	−	4.73998i	−1.41180	−	0.378292i	−0.882569	+	0.470183i	$0.844188\pi$
$158$	9.06119	−	2.42794i	0.720869	−	0.193156i
$159$	−6.52506	−	12.1583i	−0.517471	−	0.964217i
$160$			16.0000i			1.26491i
$161$	−7.47661	−	4.31662i	−0.589240	−	0.340198i
$162$	10.0454	−	7.81601i	0.789241	−	0.614084i
$163$	−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
$165$	0.751123	+	0.799268i	0.0584749	+	0.0622229i
$166$	1.45785	−	0.841688i	0.113151	−	0.0653276i
$167$	5.74456	+	3.31662i	0.444528	+	0.256648i	0.705516	−	0.708694i	$-0.250715\pi$
$167$	5.74456	+	3.31662i	0.444528	+	0.256648i	−0.260989	+	0.965342i	$0.584049\pi$
$168$	8.32914	+	5.15999i	0.642607	+	0.398102i
$169$	−7.79423	+	4.50000i	−0.599556	+	0.346154i
$170$	−16.0000			−1.22714
$171$	−2.02157	−	12.9195i	−0.154594	−	0.987978i
$172$	−15.2665	−	15.2665i	−1.16406	−	1.16406i
$173$	2.17781	−	8.12768i	0.165575	−	0.617936i	−0.832391	−	0.554189i	$-0.813028\pi$
$173$	2.17781	−	8.12768i	0.165575	−	0.617936i	0.997966	−	0.0637467i	$-0.0203050\pi$
$174$	−21.3014	+	5.00458i	−1.61486	+	0.379396i
$175$	−5.19615	−	3.00000i	−0.392792	−	0.226779i
$176$	0.231785	−	0.865035i	0.0174715	−	0.0652045i
$177$	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	−0.157288	−	0.987553i	$-0.550275\pi$
$179$	11.1082	−	11.1082i	0.830265	−	0.830265i	0.987553	+	0.157288i	$0.0502751\pi$
$180$	16.0882	+	5.40093i	1.19914	+	0.402562i
$181$	1.79854	−	0.481918i	0.133685	−	0.0358207i	−0.191356	−	0.981521i	$-0.561289\pi$
$181$	1.79854	−	0.481918i	0.133685	−	0.0358207i	0.325041	+	0.945700i	$0.394622\pi$
$182$		−	13.2665i		−	0.983378i
$183$	−5.36675	−	10.0000i	−0.396722	−	0.739221i
$184$	3.15999	+	11.7932i	0.232957	+	0.869409i
$185$	−14.6332	−	25.3455i	−1.07586	−	1.86344i
$186$	0.280041	−	9.01804i	0.0205336	−	0.661235i
$187$	0.865035	+	0.231785i	0.0632576	+	0.0169498i
$188$	3.46410	−	2.00000i	0.252646	−	0.145865i
$189$	8.00000	−	6.63325i	0.581914	−	0.482498i
$190$	12.8650	−	11.7682i	0.933328	−	0.853756i
$191$	−10.6332			−0.769395			−0.384697	−	0.923043i	$-0.625694\pi$
$191$	−10.6332			−0.769395			−0.384697	+	0.923043i	$0.625694\pi$
$192$	−3.16915	−	13.4891i	−0.228714	−	0.973494i
$193$	3.63325	+	6.29297i	0.261527	+	0.452978i	0.966648	−	0.256109i	$-0.0824406\pi$
$193$	3.63325	+	6.29297i	0.261527	+	0.452978i	−0.705121	+	0.709087i	$0.749107\pi$
$194$	−3.64191	−	13.5918i	−0.261474	−	0.975833i
$195$	−5.25544	−	22.3692i	−0.376350	−	1.60189i
$196$	−5.19615	−	3.00000i	−0.371154	−	0.214286i
$197$	2.68338	−	2.68338i	0.191183	−	0.191183i	−0.605024	−	0.796207i	$-0.706837\pi$
$197$	2.68338	−	2.68338i	0.191183	−	0.191183i	0.796207	+	0.605024i	$0.206837\pi$
$198$	−0.791562	−	0.525063i	−0.0562539	−	0.0373146i
$199$	7.47494	−	12.9470i	0.529884	−	0.917786i	−0.469508	−	0.882928i	$-0.655569\pi$
$199$	7.47494	−	12.9470i	0.529884	−	0.917786i	0.999392	−	0.0348582i	$-0.0110980\pi$
$200$	2.19615	+	8.19615i	0.155291	+	0.579555i
$201$	−7.50000	+	4.02506i	−0.529009	+	0.283906i
$202$		−	20.0000i		−	1.40720i
$203$	−17.2573	+	4.62409i	−1.21123	+	0.324548i
$204$	13.4891	−	3.16915i	0.944428	−	0.221885i
$205$	6.82024	+	25.4535i	0.476346	+	1.77775i
$206$	11.3607	+	3.04410i	0.791539	+	0.212092i
$207$	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
$210$	13.2665	+	4.00000i	0.915475	+	0.276026i
$211$	−1.09808	+	4.09808i	−0.0755947	+	0.282123i	−0.993367	−	0.114983i	$-0.963319\pi$
$211$	−1.09808	+	4.09808i	−0.0755947	+	0.282123i	0.917773	+	0.397106i	$0.129985\pi$
$212$	−4.12382	+	15.3903i	−0.283225	+	1.05701i
$213$	−2.92397	+	2.74784i	−0.200347	+	0.188279i
$214$	−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
$219$	−8.43555	+	7.92742i	−0.570022	+	0.535686i
$220$		−	1.26650i		−	0.0853874i
$221$	−13.2665	−	13.2665i	−0.892401	−	0.892401i
$222$	17.3571	+	18.4696i	1.16493	+	1.23960i
$223$	−4.37354	+	2.52506i	−0.292874	+	0.169091i	−0.639237	−	0.769010i	$-0.720750\pi$
$223$	−4.37354	+	2.52506i	−0.292874	+	0.169091i	0.346363	+	0.938100i	$0.387416\pi$
$224$	−2.92820	−	10.9282i	−0.195649	−	0.730171i
$225$	8.98266	+	0.558422i	0.598844	+	0.0372281i
$226$	6.57011	−	24.5200i	0.437037	−	1.63105i
$227$	8.52506	−	8.52506i	0.565828	−	0.565828i	−0.365129	−	0.930957i	$-0.618975\pi$
$227$	8.52506	−	8.52506i	0.565828	−	0.565828i	0.930957	+	0.365129i	$0.118975\pi$
$228$	−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	$-0.141965\pi$
$233$	1.18338	+	2.04967i	0.0775255	+	0.134278i	−0.824656	+	0.565634i	$0.808631\pi$
$234$	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
$237$	−8.37228	+	7.86797i	−0.543838	+	0.511079i
$238$	10.9282	−	2.92820i	0.708370	−	0.189807i
$239$	3.36675			0.217777			0.108888	−	0.994054i	$-0.465271\pi$
$239$	3.36675			0.217777			0.108888	+	0.994054i	$0.465271\pi$
$240$	−9.26650	−	17.2665i	−0.598150	−	1.11455i
$241$	−6.29156	+	10.8973i	−0.405275	+	0.701957i	−0.994353	−	0.106119i	$-0.966158\pi$
$241$	−6.29156	+	10.8973i	−0.405275	+	0.701957i	0.589078	+	0.808076i	$0.299491\pi$
$242$	4.00793	−	14.9578i	0.257640	−	0.961524i
$243$	−6.31386	+	14.2525i	−0.405034	+	0.914302i
$244$	−3.39177	+	12.6583i	−0.217136	+	0.810363i
$245$	−8.19615	−	2.19615i	−0.523633	−	0.140307i
$246$	−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
$251$	−9.34592	+	2.50423i	−0.589909	+	0.158066i	−0.541412	−	0.840758i	$-0.682110\pi$
$251$	−9.34592	+	2.50423i	−0.589909	+	0.158066i	−0.0484975	+	0.998823i	$0.515443\pi$
$252$	−11.9769	−	0.744563i	−0.754472	−	0.0469030i
$253$	−0.250133	−	0.933508i	−0.0157257	−	0.0586891i
$254$	−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	0.987455	+	0.157899i	$0.0504721\pi$
$257$	25.9374	+	14.9749i	1.61793	+	0.934111i	0.630472	+	0.776212i	$0.282861\pi$
$258$	25.3166	+	7.63325i	1.57614	+	0.475225i
$259$	14.6332	+	14.6332i	0.909266	+	0.909266i
$260$	−13.2665	+	22.9783i	−0.822753	+	1.42505i
$261$	20.0891	−	17.7376i	1.24349	−	1.09793i
$262$	−4.28672	−	2.47494i	−0.264834	−	0.152902i
$263$	−21.3330	+	12.3166i	−1.31545	+	0.759476i	−0.982993	−	0.183643i	$-0.941211\pi$
$263$	−21.3330	+	12.3166i	−1.31545	+	0.759476i	−0.332457	+	0.943118i	$0.607878\pi$
$264$	0.250858	+	1.06775i	0.0154392	+	0.0657153i
$265$			22.5330i			1.38419i
$266$	−6.63325	+	10.3923i	−0.406711	+	0.637193i
$267$	−6.63325	+	22.0000i	−0.405948	+	1.34638i
$268$	9.49370	+	2.54383i	0.579920	+	0.155389i
$269$	2.08026	−	7.76363i	0.126836	−	0.473357i	−0.873063	−	0.487608i	$-0.837870\pi$
$269$	2.08026	−	7.76363i	0.126836	−	0.473357i	0.999898	+	0.0142506i	$0.00453627\pi$
$270$	−20.4897	+	3.48913i	−1.24696	+	0.212341i
$271$	19.6010	−	11.3166i	1.19067	−	0.687436i	0.232215	−	0.972665i	$-0.425403\pi$
$271$	19.6010	−	11.3166i	1.19067	−	0.687436i	0.958460	+	0.285229i	$0.0920695\pi$
$272$	−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
$275$	−0.173839	−	0.648776i	−0.0104829	−	0.0391227i
$276$	−10.2402	−	10.8966i	−0.616391	−	0.655899i
$277$	−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	$-0.692367\pi$
$281$	7.18338	−	12.4420i	0.428524	−	0.742226i	0.996742	+	0.0806523i	$0.0257003\pi$
$282$	−2.57999	+	4.16457i	−0.153636	+	0.247996i
$283$	−1.08129	−	0.289732i	−0.0642762	−	0.0172228i	0.226538	−	0.974002i	$-0.427259\pi$
$283$	−1.08129	−	0.289732i	−0.0642762	−	0.0172228i	−0.290814	+	0.956780i	$0.593926\pi$
$284$	4.63325			0.274933
$285$	−7.06775	+	20.1506i	−0.418657	+	1.19362i
$286$	1.05013	−	1.05013i	0.0620952	−	0.0620952i
$287$	−9.31662	−	16.1369i	−0.549943	−	0.952529i
$288$	11.2323	+	12.7214i	0.661871	+	0.749618i
$289$	−0.500000	+	0.866025i	−0.0294118	+	0.0509427i
$290$	34.5147	+	9.24818i	2.02677	+	0.543072i
$291$	11.8020	+	12.5584i	0.691843	+	0.736188i
$292$	13.3668			0.782230
$293$	0.316625	−	0.316625i	0.0184974	−	0.0184974i	−0.697798	−	0.716295i	$-0.745836\pi$
$293$	0.316625	−	0.316625i	0.0184974	−	0.0184974i	0.716295	+	0.697798i	$0.245836\pi$
$294$	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
$299$	−5.24025	+	19.5569i	−0.303051	+	1.13100i
$300$	−7.11684	−	7.57301i	−0.410891	−	0.437228i
$301$	20.8544	+	5.58793i	1.20203	+	0.322083i
$302$	30.3481	+	8.13176i	1.74634	+	0.467930i
$303$	11.5831	+	21.5831i	0.665433	+	1.23992i
$304$	17.0256	−	3.75906i	0.976483	−	0.215597i
$305$			18.5330i			1.06120i
$306$	−12.7214	+	11.2323i	−0.727236	+	0.642109i
$307$	−2.11986	+	7.91142i	−0.120987	+	0.451529i	−0.999665	−	0.0258859i	$-0.991759\pi$
$307$	−2.11986	+	7.91142i	−0.120987	+	0.451529i	0.878678	+	0.477415i	$0.158426\pi$
$308$	0.231785	+	0.865035i	0.0132072	+	0.0492899i
$309$	−14.0230	+	3.29458i	−0.797741	+	0.187422i
$310$	−7.36675	+	12.7596i	−0.418403	+	0.724696i
$311$			11.5831i			0.656819i	0.944535	+	0.328409i	$0.106513\pi$
$311$			11.5831i			0.656819i	−0.944535	+	0.328409i	$0.893487\pi$
$312$	6.63325	−	22.0000i	0.375534	−	1.24550i
$313$	20.4670	+	11.8166i	1.15686	+	0.667915i	0.950550	−	0.310571i	$-0.100520\pi$
$313$	20.4670	+	11.8166i	1.15686	+	0.667915i	0.206313	+	0.978486i	$0.433854\pi$
$314$	−22.4298	−	12.9499i	−1.26579	−	0.730804i
$315$	−16.6332	+	3.36675i	−0.937177	+	0.189695i
$316$	13.2665			0.746299
$317$	3.23304	−	0.866291i	0.181586	−	0.0486557i	−0.166880	−	0.985977i	$-0.553369\pi$
$317$	3.23304	−	0.866291i	0.181586	−	0.0486557i	0.348466	+	0.937321i	$0.386703\pi$
$318$	−4.46315	−	18.9969i	−0.250281	−	1.06529i
$319$	−1.73205	−	1.00000i	−0.0969762	−	0.0559893i
$320$	−5.85641	+	21.8564i	−0.327383	+	1.22181i
$321$	12.3893	+	7.67532i	0.691505	+	0.428395i
$322$	−8.63325	−	8.63325i	−0.481112	−	0.481112i
$323$	3.75906	+	17.0256i	0.209159	+	0.947327i
$324$	16.5831	−	7.00000i	0.921285	−	0.388889i
$325$	−3.64191	+	13.5918i	−0.202017	+	0.753936i
$326$	−9.79156	−	16.9595i	−0.542304	−	0.939299i
$327$	10.5684	+	0.328185i	0.584436	+	0.0181487i
$328$	−6.82024	+	25.4535i	−0.376585	+	1.40543i
$329$	−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	$0.989355\pi$
$332$	2.29953	−	0.616158i	0.126203	−	0.0338161i
$333$	−29.4278	−	9.87915i	−1.61263	−	0.541374i
$334$	6.63325	+	6.63325i	0.362955	+	0.362955i
$335$	13.8997			0.759424
$336$	9.48913	+	10.0974i	0.517674	+	0.550856i
$337$	8.50000	+	14.7224i	0.463025	+	0.801982i	0.999110	−	0.0421818i	$-0.0134309\pi$
$337$	8.50000	+	14.7224i	0.463025	+	0.801982i	−0.536085	+	0.844164i	$0.680098\pi$
$338$	−12.2942	+	3.29423i	−0.668718	+	0.179182i
$339$	7.11073	+	30.2660i	0.386202	+	1.64382i
$340$	−21.8564	−	5.85641i	−1.18533	−	0.317608i
$341$	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
$347$	5.91435	−	22.0727i	0.317499	−	1.18492i	−0.604141	−	0.796877i	$-0.706484\pi$
$347$	5.91435	−	22.0727i	0.317499	−	1.18492i	0.921640	−	0.388045i	$-0.126850\pi$
$348$	−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	$0.184521\pi$
$353$			20.5831i			1.09553i	−0.836633	+	0.547765i	$0.815479\pi$
$354$	2.15831	−	7.15831i	0.114713	−	0.380460i
$355$	6.32914	−	1.69589i	0.335916	−	0.0900083i
$356$	22.9783	−	13.2665i	1.21784	−	0.703123i
$357$	−10.0974	+	9.48913i	−0.534408	+	0.502218i
$358$	19.2399	−	11.1082i	1.01686	−	0.587086i
$359$	−24.9845	+	14.4248i	−1.31863	+	0.761312i	−0.983509	−	0.180862i	$-0.942111\pi$
$359$	−24.9845	+	14.4248i	−1.31863	+	0.761312i	−0.335123	+	0.942174i	$0.608778\pi$
$360$	20.0000	+	13.2665i	1.05409	+	0.699206i
$361$	−15.5450	−	10.9248i	−0.818160	−	0.574990i
$362$	2.63325			0.138401
$363$	4.33772	+	18.4630i	0.227671	+	0.969058i
$364$	4.85588	−	18.1224i	0.254517	−	0.949871i
$365$	18.2593	−	4.89257i	0.955737	−	0.256089i
$366$	−3.67086	−	15.6246i	−0.191879	−	0.816712i
$367$	−0.909435	−	0.525063i	−0.0474721	−	0.0274081i	0.476076	−	0.879404i	$-0.342059\pi$
$367$	−0.909435	−	0.525063i	−0.0474721	−	0.0274081i	−0.523548	+	0.851996i	$0.675392\pi$
$368$			17.2665i			0.900078i
$369$	23.2916	+	15.4499i	1.21251	+	0.804288i
$370$	−10.7123	−	39.9788i	−0.556905	−	2.07840i
$371$	−4.12382	−	15.3903i	−0.214098	−	0.799026i
$372$	3.68338	−	12.2164i	0.190974	−	0.633389i
$373$	−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
$376$	5.46410	−	1.46410i	0.281790	−	0.0755053i
$377$	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
$381$	24.7916	+	7.47494i	1.27011	+	0.382953i
$382$	−14.5253	−	3.89204i	−0.743178	−	0.199134i
$383$		0			0		0.866025	−	0.500000i	$-0.166667\pi$
$383$		0			0		−0.866025	+	0.500000i	$0.833333\pi$
$384$	0.608226	−	19.5865i	0.0310384	−	0.999518i
$385$	0.633250	+	1.09682i	0.0322734	+	0.0558991i
$386$	2.65972	+	9.92622i	0.135376	+	0.505231i
$387$	−31.7414	+	6.42481i	−1.61351	+	0.326592i
$388$		−	19.8997i		−	1.01026i
$389$	−8.40024	−	31.3501i	−0.425909	−	1.58951i	−0.761930	−	0.647659i	$-0.775748\pi$
$389$	−8.40024	−	31.3501i	−0.425909	−	1.58951i	0.336021	−	0.941854i	$-0.390919\pi$
$390$	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
$395$	18.1224	−	4.85588i	0.911836	−	0.244326i
$396$	−0.889107	−	1.00698i	−0.0446793	−	0.0506027i
$397$	−16.7563	−	4.48985i	−0.840977	−	0.225339i	−0.187480	−	0.982268i	$-0.560032\pi$
$397$	−16.7563	−	4.48985i	−0.840977	−	0.225339i	−0.653497	+	0.756929i	$0.726699\pi$
$398$	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	−0.208152	−	0.978096i	$-0.566745\pi$
$401$	10.7099	−	6.18338i	0.534828	−	0.308783i	0.742980	+	0.669313i	$0.233412\pi$
$402$	−11.7185	+	2.75315i	−0.584464	+	0.137315i
$403$	−16.6879	+	4.47150i	−0.831282	+	0.222741i
$404$	7.32051	−	27.3205i	0.364209	−	1.35925i
$405$	20.0908	−	15.6320i	0.998319	−	0.776761i
$406$	−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	$-0.431412\pi$
$409$	−10.6231	−	6.13325i	−0.525278	−	0.303270i	−0.739092	+	0.673605i	$0.764745\pi$
$410$			37.2665i			1.84046i
$411$	1.65831	−	5.50000i	0.0817985	−	0.271295i
$412$	14.4048	+	8.31662i	0.709674	+	0.409731i
$413$	1.57999	−	5.89662i	0.0777464	−	0.290154i
$414$	17.3617	+	5.82845i	0.853280	+	0.286453i
$415$	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
$418$	−1.34768	+	0.297553i	−0.0659171	+	0.0145538i
$419$	−13.6332	+	13.6332i	−0.666028	+	0.666028i	−0.956794	−	0.290766i	$-0.906090\pi$
$419$	−13.6332	+	13.6332i	−0.666028	+	0.666028i	0.290766	+	0.956794i	$0.406090\pi$
$420$	16.6583	+	10.3200i	0.812841	+	0.503563i
$421$	−0.366025	+	1.36603i	−0.0178390	+	0.0665760i	−0.974272	−	0.225377i	$-0.927639\pi$
$421$	−0.366025	+	1.36603i	−0.0178390	+	0.0665760i	0.956433	+	0.291953i	$0.0943052\pi$
$422$	−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
$427$	−3.39177	−	12.6583i	−0.164139	−	0.612577i
$428$	−4.35561	−	16.2554i	−0.210536	−	0.785732i
$429$	−0.525063	+	1.74144i	−0.0253503	+	0.0840773i
$430$	−30.5330	−	30.5330i	−1.47243	−	1.47243i
$431$	5.15831	−	8.93446i	0.248467	−	0.430358i	−0.714634	−	0.699499i	$-0.753407\pi$
$431$	5.15831	−	8.93446i	0.248467	−	0.430358i	0.963101	+	0.269141i	$0.0867399\pi$
$432$	−19.4891	−	7.22316i	−0.937671	−	0.347524i
$433$	−13.9499	+	24.1619i	−0.670388	+	1.16115i	0.307406	+	0.951578i	$0.400539\pi$
$433$	−13.9499	+	24.1619i	−0.670388	+	1.16115i	−0.977794	+	0.209568i	$0.932794\pi$
$434$	2.69642	−	10.0632i	0.129432	−	0.483048i
$435$	−42.6029	+	10.0092i	−2.04265	+	0.479902i
$436$	−8.63325	−	8.63325i	−0.413458	−	0.413458i
$437$	13.8834	−	12.6997i	0.664132	−	0.607511i
$438$	−14.4248	+	7.74144i	−0.689244	+	0.369900i
$439$	−5.84169	−	10.1181i	−0.278809	−	0.482911i	0.692280	−	0.721629i	$-0.256606\pi$
$439$	−5.84169	−	10.1181i	−0.278809	−	0.482911i	−0.971089	+	0.238718i	$0.923273\pi$
$440$	0.463571	−	1.73007i	0.0220999	−	0.0824779i
$441$	−8.05842	+	4.00772i	−0.383734	+	0.190844i
$442$	−13.2665	−	22.9783i	−0.631023	−	1.09296i
$443$	13.3755	−	3.58396i	0.635490	−	0.170279i	0.0733304	−	0.997308i	$-0.476637\pi$
$443$	13.3755	−	3.58396i	0.635490	−	0.170279i	0.562160	+	0.827029i	$0.309971\pi$
$444$	16.9499	+	31.5831i	0.804405	+	1.49887i
$445$	26.5330	−	26.5330i	1.25778	−	1.25778i
$446$	−6.89860	+	1.84847i	−0.326658	+	0.0875278i
$447$	−13.0167	−	0.404214i	−0.615671	−	0.0191186i
$448$		−	16.0000i		−	0.755929i
$449$			31.0000i			1.46298i	0.681852	+	0.731490i	$0.261175\pi$
$449$			31.0000i			1.46298i	−0.681852	+	0.731490i	$0.738825\pi$
$450$	12.0661	+	4.05070i	0.568803	+	0.190952i
$451$	0.539864	−	2.01480i	0.0254212	−	0.0948733i
$452$	17.9499	−	31.0901i	0.844291	−	1.46236i
$453$	−37.4599	+	8.80087i	−1.76002	+	0.413501i
$454$	14.7658	−	8.52506i	0.692995	−	0.400101i
$455$		−	26.5330i		−	1.24389i
$456$	−16.1962	+	13.9171i	−0.758454	+	0.651726i
$457$		−	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
$459$	7.22316	−	19.4891i	0.337148	−	0.909674i
$460$	6.31998	+	23.5865i	0.294670	+	1.09973i
$461$	0.481918	−	1.79854i	0.0224452	−	0.0837665i	−0.953795	−	0.300459i	$-0.902860\pi$
$461$	0.481918	−	1.79854i	0.0224452	−	0.0837665i	0.976240	+	0.216692i	$0.0695269\pi$
$462$	−0.751123	−	0.799268i	−0.0349454	−	0.0371853i
$463$			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
$466$	0.866291	+	3.23304i	0.0401301	+	0.149768i
$467$	−17.1082	+	17.1082i	−0.791672	+	0.791672i	−0.981766	−	0.190094i	$-0.939121\pi$
$467$	−17.1082	+	17.1082i	−0.791672	+	0.791672i	0.190094	+	0.981766i	$0.439121\pi$
$468$	5.58312	+	27.5831i	0.258080	+	1.27503i
$469$	−9.49370	+	2.54383i	−0.438379	+	0.117463i
$470$	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
$475$	9.64878	−	8.82616i	0.442716	−	0.404972i
$476$	16.0000			0.733359
$477$	15.8186	+	17.9158i	0.724284	+	0.820306i
$478$	4.59907	+	1.23232i	0.210356	+	0.0563648i
$479$	3.31662	−	5.74456i	0.151540	−	0.262476i	−0.780253	−	0.625463i	$-0.784910\pi$
$479$	3.31662	−	5.74456i	0.151540	−	0.262476i	0.931794	+	0.362988i	$0.118243\pi$
$480$	−6.33830	−	26.9783i	−0.289302	−	1.23138i
$481$	24.2665	−	42.0308i	1.10646	−	1.91644i
$482$	−12.5831	+	12.5831i	−0.573146	+	0.573146i
$483$	14.3166	+	4.31662i	0.651429	+	0.196413i
$484$	10.9499	−	18.9657i	0.497722	−	0.862079i
$485$	−7.28381	−	27.1836i	−0.330741	−	1.23434i
$486$	−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
$491$	1.71423	−	6.39761i	0.0773623	−	0.288720i	−0.916396	−	0.400272i	$-0.868916\pi$
$491$	1.71423	−	6.39761i	0.0773623	−	0.288720i	0.993759	+	0.111552i	$0.0355822\pi$
$492$	−7.38144	−	31.4183i	−0.332781	−	1.41645i
$493$	−25.2665	+	25.2665i	−1.13795	+	1.13795i
$494$	27.5679	+	8.71831i	1.24034	+	0.392255i
$495$	−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
$498$	−2.12470	+	1.99672i	−0.0952103	+	0.0894752i
$499$	−8.22640	+	30.7013i	−0.368264	+	1.37438i	0.494677	+	0.869077i	$0.335286\pi$
$499$	−8.22640	+	30.7013i	−0.368264	+	1.37438i	−0.862942	+	0.505304i	$0.831380\pi$
$500$	−2.92820	−	10.9282i	−0.130953	−	0.488724i
$501$	−11.0000	−	3.31662i	−0.491444	−	0.148176i
$502$	−13.6834			−0.610719
$503$	28.4486	+	16.4248i	1.26846	+	0.732346i	0.974697	−	0.223532i	$-0.0717587\pi$
$503$	28.4486	+	16.4248i	1.26846	+	0.732346i	0.293764	+	0.955878i	$0.405092\pi$
$504$	−16.0882	−	5.40093i	−0.716625	−	0.240577i
$505$		−	40.0000i		−	1.77998i
$506$		−	1.36675i		−	0.0607595i
$507$	11.3595	−	10.6753i	0.504494	−	0.474105i
$508$	−14.9499	−	25.8939i	−0.663293	−	1.14886i
$509$	−29.9156	+	8.01586i	−1.32599	+	0.355297i	−0.851217	−	0.524814i	$-0.824135\pi$
$509$	−29.9156	+	8.01586i	−1.32599	+	0.355297i	−0.474769	+	0.880110i	$0.657468\pi$
$510$	26.9783	−	6.33830i	1.19462	−	0.280664i
$511$	−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
$515$	22.7214	+	6.08819i	1.00123	+	0.268278i
$516$	31.7892	+	19.6937i	1.39944	+	0.866969i
$517$	−0.432518	+	0.115893i	−0.0190221	+	0.00509696i
$518$	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	$-0.391089\pi$
$521$	15.3166			0.671034			0.335517	+	0.942034i	$0.391089\pi$
$522$	33.9347	−	16.8769i	1.48528	−	0.738680i
$523$	9.61421	+	35.8807i	0.420400	+	1.56895i	0.773768	+	0.633469i	$0.218370\pi$
$523$	9.61421	+	35.8807i	0.420400	+	1.56895i	−0.353368	+	0.935484i	$0.614964\pi$
$524$	−4.94987	−	4.94987i	−0.216236	−	0.216236i
$525$	9.94987	+	3.00000i	0.434248	+	0.130931i
$526$	−33.6496	+	9.01640i	−1.46719	+	0.393134i
$527$	−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
$530$	−8.24765	+	30.7806i	−0.358255	+	1.33703i
$531$	1.81662	+	8.97494i	0.0788348	+	0.389479i
$532$	−12.8650	+	11.7682i	−0.557770	+	0.510217i
$533$	−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
$541$	−2.19615	−	8.19615i	−0.0944200	−	0.352380i	0.902511	−	0.430667i	$-0.141722\pi$
$541$	−2.19615	−	8.19615i	−0.0944200	−	0.352380i	−0.996931	+	0.0782869i	$0.975055\pi$
$542$	30.9176	−	8.28434i	1.32802	−	0.355843i
$543$	−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
$546$	5.25544	+	22.3692i	0.224912	+	0.957313i
$547$	37.6108	−	10.0778i	1.60812	−	0.430895i	0.660639	−	0.750704i	$-0.270286\pi$
$547$	37.6108	−	10.0778i	1.60812	−	0.430895i	0.947482	+	0.319809i	$0.103619\pi$
$548$	−5.74456	+	3.31662i	−0.245396	+	0.141679i
$549$	13.0105	+	14.7354i	0.555276	+	0.628892i
$550$		−	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
$555$	34.7142	+	36.9393i	1.47354	+	1.56798i
$556$	−10.0961	+	37.6792i	−0.428171	+	1.59796i
$557$	−15.5273	+	4.16052i	−0.657912	+	0.176287i	−0.572303	−	0.820042i	$-0.693950\pi$
$557$	−15.5273	+	4.16052i	−0.657912	+	0.176287i	−0.0856082	+	0.996329i	$0.527283\pi$
$558$	3.10025	+	15.3166i	0.131244	+	0.648404i
$559$		−	50.6332i		−	2.14156i
$560$	−5.85641	−	21.8564i	−0.247478	−	0.923602i
$561$	−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	−0.504262	−	0.863551i	$-0.668235\pi$
$563$	8.52506	−	8.52506i	0.359289	−	0.359289i	0.863551	+	0.504262i	$0.168235\pi$
$564$	−5.04868	+	4.74456i	−0.212588	+	0.199782i
$565$	13.1402	−	49.0400i	0.552813	−	2.06313i
$566$	−1.37103	−	0.791562i	−0.0576285	−	0.0332718i
$567$	−10.8614	+	14.3537i	−0.456136	+	0.602800i
$568$	6.32914	+	1.69589i	0.265565	+	0.0711578i
$569$	−32.5330			−1.36385			−0.681927	−	0.731420i	$-0.738858\pi$
$569$	−32.5330			−1.36385			−0.681927	+	0.731420i	$0.738858\pi$
$570$	−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
$573$	17.9292	−	4.21229i	0.749001	−	0.175971i
$574$	−6.82024	−	25.4535i	−0.284671	−	1.06241i
$575$	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
$579$	−8.61909	−	9.17155i	−0.358197	−	0.381157i
$580$	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
$584$	18.2593	+	4.89257i	0.755576	+	0.202456i
$585$	17.7228	+	35.6357i	0.732748	+	1.47335i
$586$	0.548410	−	0.316625i	0.0226546	−	0.0130796i
$587$	−6.68600	+	24.9525i	−0.275961	+	1.02990i	0.679234	+	0.733922i	$0.262312\pi$
$587$	−6.68600	+	24.9525i	−0.275961	+	1.02990i	−0.955195	+	0.295978i	$0.904354\pi$
$588$	9.94987	+	3.00000i	0.410326	+	0.123718i
$589$	15.3082	+	4.84119i	0.630763	+	0.199478i
$590$	−8.63325	+	8.63325i	−0.355425	+	0.355425i
$591$	−3.46155	+	5.58755i	−0.142389	+	0.229841i
$592$	10.7123	−	39.9788i	0.440272	−	1.64312i
$593$	−12.7162	−	7.34169i	−0.522191	−	0.301487i	0.215640	−	0.976473i	$-0.430816\pi$
$593$	−12.7162	−	7.34169i	−0.522191	−	0.301487i	−0.737831	+	0.674986i	$0.764150\pi$
$594$	1.54269	+	0.571758i	0.0632971	+	0.0234595i
$595$	21.8564	−	5.85641i	0.896025	−	0.240089i
$596$	10.6332	+	10.6332i	0.435555	+	0.435555i
$597$	−7.47494	+	24.7916i	−0.305929	+	1.01465i
$598$	−14.3166	+	24.7971i	−0.585450	+	1.01403i
$599$	−15.3143	−	8.84169i	−0.625723	−	0.361262i	0.153371	−	0.988169i	$-0.450987\pi$
$599$	−15.3143	−	8.84169i	−0.625723	−	0.361262i	−0.779094	+	0.626907i	$0.784321\pi$
$600$	−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
$603$	11.0516	−	9.75790i	0.450054	−	0.397372i
$604$	38.4799	+	22.2164i	1.56572	+	0.903971i
$605$	8.01586	−	29.9156i	0.325891	−	1.21624i
$606$	7.92287	+	33.7228i	0.321845	+	1.36990i
$607$		−	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
$610$	−6.78355	+	25.3165i	−0.274658	+	1.02504i
$611$	9.06119	+	2.42794i	0.366576	+	0.0982239i
$612$	−21.4891	+	10.6873i	−0.868646	+	0.432007i
$613$	6.83859	−	25.5220i	0.276208	−	1.03082i	−0.678819	−	0.734305i	$-0.737508\pi$
$613$	6.83859	−	25.5220i	0.276208	−	1.03082i	0.955027	−	0.296517i	$-0.0958252\pi$
$614$	−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	$-0.736373\pi$
$617$	7.44987	−	12.9036i	0.299921	−	0.519478i	0.976118	+	0.217243i	$0.0697065\pi$
$618$	−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
$621$	−22.1115	+	3.76531i	−0.887306	+	0.151097i
$622$	−4.23972	+	15.8228i	−0.169997	+	0.634438i
$623$	−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
$627$	1.28203	−	1.10162i	0.0511992	−	0.0439945i
$628$	−25.8997	−	25.8997i	−1.03351	−	1.03351i
$629$	39.9788	+	10.7123i	1.59406	+	0.427127i
$630$	−23.9538	−	1.48913i	−0.954341	−	0.0593282i
$631$	4.68338	−	8.11184i	0.186442	−	0.322927i	−0.757619	−	0.652697i	$-0.773638\pi$
$631$	4.68338	−	8.11184i	0.186442	−	0.322927i	0.944062	+	0.329769i	$0.106971\pi$
$632$	18.1224	+	4.85588i	0.720869	+	0.193156i
$633$	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
$637$	−3.64191	−	13.5918i	−0.144298	−	0.538526i
$638$	−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	−0.831115	−	0.556100i	$-0.812297\pi$
$641$	−19.3702	+	11.1834i	−0.765076	+	0.441717i	0.0660393	+	0.997817i	$0.478964\pi$
$642$	14.1148	+	15.0195i	0.557066	+	0.592772i
$643$	3.62065	−	13.5125i	0.142785	−	0.532880i	−0.857059	−	0.515218i	$-0.827711\pi$
$643$	3.62065	−	13.5125i	0.142785	−	0.532880i	0.999844	−	0.0176620i	$-0.00562228\pi$
$644$	−8.63325	−	14.9532i	−0.340198	−	0.589240i
$645$	50.6332	+	15.2665i	1.99368	+	0.601118i
$646$	−1.09682	+	24.6332i	−0.0431538	+	0.969182i
$647$			28.3166i			1.11324i	0.830767	+	0.556621i	$0.187902\pi$
$647$			28.3166i			1.11324i	−0.830767	+	0.556621i	$0.812098\pi$
$648$	25.2151	−	3.49233i	0.990545	−	0.137192i
$649$	0.591820	−	0.341688i	0.0232310	−	0.0134124i
$650$	−9.94987	+	17.2337i	−0.390266	+	0.675961i
$651$	2.91829	+	12.4214i	0.114377	+	0.486832i
$652$	−7.16792	−	26.7510i	−0.280717	−	1.04765i
$653$	28.6332	+	28.6332i	1.12051	+	1.12051i	0.991665	+	0.128840i	$0.0411255\pi$
$653$	28.6332	+	28.6332i	1.12051	+	1.12051i	0.128840	+	0.991665i	$0.458875\pi$
$654$	14.3166	+	4.31662i	0.559824	+	0.168793i
$655$	−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
$659$	−8.61368	−	32.1467i	−0.335541	−	1.25226i	−0.903281	−	0.429049i	$-0.858849\pi$
$659$	−8.61368	−	32.1467i	−0.335541	−	1.25226i	0.567740	−	0.823208i	$-0.307818\pi$
$660$	0.501715	+	2.13550i	0.0195292	+	0.0831241i
$661$	−23.5865	+	6.31998i	−0.917408	+	0.245819i	−0.686477	−	0.727152i	$-0.740844\pi$
$661$	−23.5865	+	6.31998i	−0.917408	+	0.245819i	−0.230931	+	0.972970i	$0.574177\pi$
$662$	−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
$667$	37.2467	+	9.98023i	1.44220	+	0.386436i
$668$	6.63325	+	11.4891i	0.256648	+	0.444528i
$669$	6.37411	−	5.99016i	0.246437	−	0.231593i
$670$	18.9874	+	5.08766i	0.733548	+	0.196553i
$671$	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	$0.591651\pi$
$674$	6.22243	+	23.2224i	0.239679	+	0.894495i
$675$	−15.3672	+	2.61684i	−0.591485	+	0.100722i
$676$	−18.0000			−0.692308
$677$	31.9499	−	31.9499i	1.22793	−	1.22793i	0.263189	−	0.964744i	$-0.415226\pi$
$677$	31.9499	−	31.9499i	1.22793	−	1.22793i	0.964744	−	0.263189i	$-0.0847743\pi$
$678$	−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	0.531039	−	0.847348i	$-0.321802\pi$
$683$	−8.26650	−	8.26650i	−0.316309	−	0.316309i	−0.847348	+	0.531039i	$0.821802\pi$
$684$	9.41802	−	24.3988i	0.360107	−	0.932911i
$685$	−6.63325	+	6.63325i	−0.253443	+	0.253443i
$686$	27.3205	+	7.32051i	1.04310	+	0.279498i
$687$	11.8344	+	7.33154i	0.451511	+	0.279716i
$688$	−11.1759	−	41.7089i	−0.426075	−	1.59014i
$689$	−32.3606	+	18.6834i	−1.23284	+	0.711780i
$690$	−20.4805	−	21.7932i	−0.779679	−	0.829654i
$691$	−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
$693$	1.27348	+	0.427517i	0.0483755	+	0.0162400i
$694$	16.1583	−	27.9870i	0.613361	−	1.06237i
$695$			55.1662i			2.09258i
$696$	−41.8997	−	12.6332i	−1.58821	−	0.478862i
$697$	−32.2737	−	18.6332i	−1.22245	−	0.705785i
$698$	−27.7128	+	16.0000i	−1.04895	+	0.605609i
$699$	−2.80730	−	2.98724i	−0.106182	−	0.112988i
$700$	−6.00000	−	10.3923i	−0.226779	−	0.392792i
$701$	7.43640	−	27.7530i	0.280869	−	1.04822i	−0.670936	−	0.741515i	$-0.734108\pi$
$701$	7.43640	−	27.7530i	0.280869	−	1.04822i	0.951805	−	0.306702i	$-0.0992257\pi$
$702$	−22.0000	−	26.5330i	−0.830336	−	1.00142i
$703$	−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
$706$	−7.53395	+	28.1171i	−0.283544	+	1.05820i
$707$	7.32051	+	27.3205i	0.275316	+	1.02749i
$708$	5.56843	−	8.98844i	0.209275	−	0.337806i
$709$	−5.53257	+	1.48245i	−0.207780	+	0.0556745i	−0.361208	−	0.932485i	$-0.617635\pi$
$709$	−5.53257	+	1.48245i	−0.207780	+	0.0556745i	0.153428	+	0.988160i	$0.450969\pi$
$710$	9.26650			0.347766
$711$	11.0000	−	16.5831i	0.412532	−	0.621916i
$712$	36.2447	−	9.71175i	1.35833	−	0.363963i
$713$	−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
$716$	30.3481	−	8.13176i	1.13416	−	0.303898i
$717$	−5.67681	+	1.33372i	−0.212005	+	0.0498085i
$718$	−39.4093	+	10.5597i	−1.47074	+	0.394084i
$719$	−12.7916	−	22.1556i	−0.477045	−	0.826266i	0.522609	−	0.852572i	$-0.324959\pi$
$719$	−12.7916	−	22.1556i	−0.477045	−	0.826266i	−0.999654	+	0.0263066i	$0.991625\pi$
$720$	22.4646	+	25.4429i	0.837207	+	0.948200i
$721$	−16.6332			−0.619455
$722$	−17.2362	−	20.6135i	−0.641464	−	0.767153i
$723$	6.29156	−	20.8668i	0.233986	−	0.776043i
$724$	3.59709	+	0.963836i	0.133685	+	0.0358207i
$725$	25.8860	+	6.93614i	0.961382	+	0.257602i
$726$	−0.832500	+	26.8087i	−0.0308970	+	0.994964i
$727$	−16.2665	−	28.1744i	−0.603291	−	1.04493i	−0.992319	−	0.123705i	$-0.960522\pi$
$727$	−16.2665	−	28.1744i	−0.603291	−	1.04493i	0.389028	−	0.921226i	$-0.372811\pi$
$728$	13.2665	−	22.9783i	0.491689	−	0.851631i
$729$	5.00000	−	26.5330i	0.185185	−	0.982704i
$730$	26.7335			0.989451
$731$	41.7089	−	11.1759i	1.54266	−	0.413354i
$732$	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
$736$	−6.31998	+	23.5865i	−0.232957	+	0.869409i
$737$	−0.952846	−	0.550126i	−0.0350985	−	0.0202641i
$738$	26.1618	+	29.6302i	0.963030	+	1.09070i
$739$	−0.942584	+	3.51777i	−0.0346735	+	0.129403i	−0.981093	−	0.193536i	$-0.938004\pi$
$739$	−0.942584	+	3.51777i	−0.0346735	+	0.129403i	0.946420	+	0.322939i	$0.104671\pi$
$740$		−	58.5330i		−	2.15172i
$741$	−34.7994	+	6.55772i	−1.27839	+	0.240904i
$742$		−	22.5330i		−	0.827212i
$743$	2.00626	−	1.15831i	0.0736024	−	0.0424944i	−0.462747	−	0.886490i	$-0.653136\pi$
$743$	2.00626	−	1.15831i	0.0736024	−	0.0424944i	0.536350	+	0.843996i	$0.319803\pi$
$744$	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
$747$	1.13647	−	3.38531i	0.0415814	−	0.123862i
$748$	1.26650	+	1.26650i	0.0463078	+	0.0463078i
$749$	11.8997	+	11.8997i	0.434807	+	0.434807i
$750$	9.48913	+	10.0974i	0.346494	+	0.368703i
$751$	34.9152	+	20.1583i	1.27407	+	0.735587i	0.975752	−	0.218878i	$-0.0702397\pi$
$751$	34.9152	+	20.1583i	1.27407	+	0.735587i	0.298322	+	0.954465i	$0.403573\pi$
$752$	8.00000			0.291730
$753$	14.7665	−	7.92481i	0.538121	−	0.288796i
$754$	15.3364	+	57.2361i	0.558518	+	2.08442i
$755$	60.6963	+	16.2635i	2.20896	+	0.591890i
$756$	20.4897	−	3.48913i	0.745202	−	0.126898i
$757$	8.53448	−	31.8511i	0.310191	−	1.15765i	−0.618193	−	0.786026i	$-0.712135\pi$
$757$	8.53448	−	31.8511i	0.310191	−	1.15765i	0.928384	−	0.371622i	$-0.121198\pi$
$758$	−19.0526	+	11.0000i	−0.692020	+	0.399538i
$759$	0.791562	+	1.47494i	0.0287319	+	0.0535368i
$760$	34.0511	−	7.51811i	1.23516	−	0.272711i
$761$	−10.5831			−0.383638			−0.191819	−	0.981430i	$-0.561439\pi$
$761$	−10.5831			−0.383638			−0.191819	+	0.981430i	$0.561439\pi$
$762$	31.1299	+	19.2853i	1.12772	+	0.698633i
$763$	11.7932	+	3.15999i	0.426944	+	0.114399i
$764$	−18.4173	−	10.6332i	−0.666316	−	0.384697i
$765$	−25.4429	+	22.4646i	−0.919889	+	0.812210i
$766$		0			0
$767$	−14.3166			−0.516943
$768$	8.00000	−	26.5330i	0.288675	−	0.957427i
$769$	5.31662	−	9.20866i	0.191722	−	0.332073i	−0.754099	−	0.656761i	$-0.771926\pi$
$769$	5.31662	−	9.20866i	0.191722	−	0.332073i	0.945821	+	0.324688i	$0.105259\pi$
$770$	0.463571	+	1.73007i	0.0167059	+	0.0623474i
$771$	−49.6662	−	14.9749i	−1.78869	−	0.539309i
$772$			14.5330i			0.523054i
$773$	11.2125	+	41.8458i	0.403287	+	1.50509i	0.807193	+	0.590288i	$0.200986\pi$
$773$	11.2125	+	41.8458i	0.403287	+	1.50509i	−0.403905	+	0.914801i	$0.632348\pi$
$774$	−45.7113	−	2.84172i	−1.64306	−	0.102143i
$775$	−5.52506	+	9.56969i	−0.198466	+	0.343753i
$776$	7.28381	−	27.1836i	0.261474	−	0.975833i
$777$	−30.4706	−	18.8769i	−1.09313	−	0.677203i
$778$		−	45.8997i		−	1.64559i
$779$	39.6552	−	8.75543i	1.42079	−	0.313696i
$780$	13.2665	−	44.0000i	0.475017	−	1.57545i
$781$	−0.500990	−	0.134240i	−0.0179268	−	0.00480348i
$782$	−23.5865	−	6.31998i	−0.843451	−	0.226002i
$783$	−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
$786$	8.20844	+	2.47494i	0.292785	+	0.0882781i
$787$	−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	$0.835468\pi$
$788$	7.33112	−	1.96437i	0.261160	−	0.0699777i
$789$	31.0913	−	29.2185i	1.10688	−	1.04021i
$790$	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
$795$	−8.92630	−	37.9938i	−0.316583	−	1.34750i
$796$	25.8939	−	14.9499i	0.917786	−	0.529884i
$797$	7.00000	+	7.00000i	0.247953	+	0.247953i	0.820130	−	0.572177i	$-0.193901\pi$
$797$	7.00000	+	7.00000i	0.247953	+	0.247953i	−0.572177	+	0.820130i	$0.693901\pi$
$798$	7.06775	−	20.1506i	0.250196	−	0.713324i
$799$			8.00000i			0.283020i
$800$	−4.39230	+	16.3923i	−0.155291	+	0.579555i
$801$	2.46943	−	39.7228i	0.0872532	−	1.40354i
$802$	16.8933	−	4.52654i	0.596523	−	0.159838i
$803$	−1.44534	−	0.387277i	−0.0510049	−	0.0136667i
$804$	−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	$-0.394072\pi$
$809$	18.5831			0.653348			0.326674	+	0.945137i	$0.394072\pi$
$810$	33.1662	−	14.0000i	1.16534	−	0.491910i
$811$	0.750398	+	2.80052i	0.0263500	+	0.0983397i	0.977849	−	0.209314i	$-0.0671230\pi$
$811$	0.750398	+	2.80052i	0.0263500	+	0.0983397i	−0.951499	+	0.307653i	$0.900456\pi$
$812$	−34.5147	−	9.24818i	−1.21123	−	0.324548i
$813$	−28.5670	+	26.8462i	−1.00189	+	0.941538i
$814$	−0.847944	+	3.16457i	−0.0297204	+	0.110918i
$815$	−19.5831	−	33.9190i	−0.685967	−	1.18813i
$816$	26.5330	+	8.00000i	0.928841	+	0.280056i
$817$	−25.3166	+	39.6635i	−0.885717	+	1.38765i
$818$	−12.2665	−	12.2665i	−0.428888	−	0.428888i
$819$	−18.6267	−	21.0961i	−0.650869	−	0.737158i
$820$	−13.6405	+	50.9070i	−0.476346	+	1.77775i
$821$	−4.72164	−	17.6214i	−0.164786	−	0.614991i	−0.998067	−	0.0621411i	$-0.980207\pi$
$821$	−4.72164	−	17.6214i	−0.164786	−	0.614991i	0.833281	−	0.552849i	$-0.186460\pi$
$822$	4.27844	−	6.90616i	0.149228	−	0.240880i
$823$	4.84169	−	8.38605i	0.168771	−	0.292319i	−0.769217	−	0.638987i	$-0.779354\pi$
$823$	4.84169	−	8.38605i	0.168771	−	0.292319i	0.937988	+	0.346668i	$0.112687\pi$
$824$	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
$827$	−12.5105	+	3.35217i	−0.435032	+	0.116567i	−0.469687	−	0.882833i	$-0.655633\pi$
$827$	−12.5105	+	3.35217i	−0.435032	+	0.116567i	0.0346552	+	0.999399i	$0.488967\pi$
$828$	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	$0.119616\pi$
$830$	4.59907	−	1.23232i	0.159636	−	0.0427743i
$831$	36.6131	+	22.6822i	1.27009	+	0.786836i
$832$	−36.2447	+	9.71175i	−1.25656	+	0.336694i
$833$	10.3923	−	6.00000i	0.360072	−	0.207888i
$834$	−10.9269	−	46.5090i	−0.378367	−	1.61048i
$835$	13.2665	+	13.2665i	0.459106	+	0.459106i
$836$	−1.94987	−	0.0868201i	−0.0674378	−	0.00300274i
$837$	−12.2164	−	14.7335i	−0.422260	−	0.509264i
$838$	−23.6135	+	13.6332i	−0.815714	+	0.470953i
$839$	−4.64774	+	2.68338i	−0.160458	+	0.0926404i	−0.578079	−	0.815981i	$-0.696197\pi$
$839$	−4.64774	+	2.68338i	−0.160458	+	0.0926404i	0.417621	+	0.908621i	$0.362864\pi$
$840$	18.9783	+	20.1947i	0.654812	+	0.696783i
$841$	43.9937	−	25.3997i	1.51702	−	0.875853i
$842$	−1.00000	+	1.73205i	−0.0344623	+	0.0596904i
$843$	−7.18338	+	23.8246i	−0.247409	+	0.820561i
$844$	−6.00000	+	6.00000i	−0.206529	+	0.206529i
$845$	−24.5885	+	6.58846i	−0.845869	+	0.226650i
$846$	2.70047	−	8.04410i	0.0928440	−	0.276562i
$847$			21.8997i			0.752484i
$848$	−22.5330	+	22.5330i	−0.773786	+	0.773786i
$849$	1.93799	+	0.0601811i	0.0665116	+	0.00206541i
$850$	−16.3923	−	4.39230i	−0.562251	−	0.150655i
$851$	−11.5602	−	43.1433i	−0.396279	−	1.47893i
$852$	−7.81231	+	1.83543i	−0.267645	+	0.0628809i
$853$	−4.37396	+	16.3238i	−0.149761	+	0.558917i	0.849736	+	0.527209i	$0.176761\pi$
$853$	−4.37396	+	16.3238i	−0.149761	+	0.558917i	−0.999497	+	0.0317085i	$0.989905\pi$
$854$		−	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	$-0.149172\pi$
$857$	1.60819	+	2.78546i	0.0549346	+	0.0951495i	−0.837250	+	0.546820i	$0.815838\pi$
$858$	−1.35466	+	2.18666i	−0.0462473	+	0.0746513i
$859$	−6.76230	−	25.2372i	−0.230727	−	0.861083i	−0.980029	−	0.198855i	$-0.936278\pi$
$859$	−6.76230	−	25.2372i	−0.230727	−	0.861083i	0.749302	−	0.662228i	$-0.230389\pi$
$860$	−30.5330	−	52.8847i	−1.04117	−	1.80335i
$861$	22.1017	+	23.5183i	0.753222	+	0.801502i
$862$	10.3166	−	10.3166i	0.351386	−	0.351386i
$863$	−36.2164			−1.23282			−0.616410	−	0.787425i	$-0.711414\pi$
$863$	−36.2164			−1.23282			−0.616410	+	0.787425i	$0.711414\pi$
$864$	−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
$867$	0.500000	−	1.65831i	0.0169809	−	0.0563192i
$868$	7.36675	−	12.7596i	0.250044	−	0.433089i
$869$	−1.43450	−	0.384373i	−0.0486620	−	0.0130389i
$870$	−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
$876$	−22.5382	+	5.29515i	−0.761496	+	0.178907i
$877$	33.6496	+	9.01640i	1.13627	+	0.304462i	0.777449	−	0.628945i	$-0.216513\pi$
$877$	33.6496	+	9.01640i	1.13627	+	0.304462i	0.358818	+	0.933407i	$0.383180\pi$
$878$	−4.27641	−	15.9598i	−0.144322	−	0.538617i
$879$	−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	$0.275630\pi$
$881$			45.2164i			1.52338i	−0.647943	+	0.761689i	$0.724370\pi$
$882$	−12.4749	+	2.52506i	−0.420053	+	0.0850233i
$883$	30.6329	−	8.20805i	1.03088	−	0.276223i	0.296550	−	0.955017i	$-0.404164\pi$
$883$	30.6329	−	8.20805i	1.03088	−	0.276223i	0.734328	+	0.678795i	$0.237497\pi$
$884$	−9.71175	−	36.2447i	−0.326642	−	1.21904i
$885$	4.31662	−	14.3166i	0.145102	−	0.481248i
$886$	19.5831			0.657908
$887$	16.0500	+	9.26650i	0.538908	+	0.311139i	0.744636	−	0.667471i	$-0.232623\pi$
$887$	16.0500	+	9.26650i	0.538908	+	0.311139i	−0.205728	+	0.978609i	$0.565956\pi$
$888$	11.5937	+	49.3474i	0.389060	+	1.65599i
$889$	25.8939	+	14.9499i	0.868455	+	0.501403i
$890$	45.9565	−	26.5330i	1.54047	−	0.889388i
$891$	−1.99594	+	0.276440i	−0.0668663	+	0.00926108i
$892$	−10.1003			−0.338181
$893$	−5.88411	−	6.43252i	−0.196904	−	0.215256i
$894$	−17.6332	−	5.31662i	−0.589744	−	0.177815i
$895$	38.4799	−	22.2164i	1.28624	−	0.742611i
$896$	5.85641	−	21.8564i	0.195649	−	0.730171i
$897$	1.08847	−	35.0515i	0.0363429	−	1.17034i
$898$	−11.3468	+	42.3468i	−0.378647	+	1.41313i
$899$	8.51613	+	31.7826i	0.284029	+	1.06001i
$900$	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
$907$	−33.0009	−	8.84256i	−1.09578	−	0.293612i	−0.334732	−	0.942313i	$-0.608646\pi$
$907$	−33.0009	−	8.84256i	−1.09578	−	0.293612i	−0.761043	+	0.648701i	$0.775313\pi$
$908$	23.2909	−	6.24078i	0.772936	−	0.207108i
$909$	−28.0808	−	31.8036i	−0.931381	−	1.05486i
$910$	9.71175	−	36.2447i	0.321941	−	1.20150i
$911$	39.5831			1.31145			0.655724	−	0.755001i	$-0.272364\pi$
$911$	39.5831			1.31145			0.655724	+	0.755001i	$0.272364\pi$
$912$	−27.2184	+	13.0829i	−0.901290	+	0.433217i
$913$	−0.266499			−0.00881983
$914$	1.09808	−	4.09808i	0.0363211	−	0.135552i
$915$	−7.34173	−	31.2492i	−0.242710	−	1.03307i
$916$	−4.16052	−	15.5273i	−0.137467	−	0.513035i
$917$	6.76165	+	1.81178i	0.223289	+	0.0598302i
$918$	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
$925$	−8.03421	−	29.9841i	−0.264163	−	0.985871i
$926$	−9.40077	+	35.0841i	−0.308928	+	1.15294i
$927$	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	−0.478063	−	0.878326i	$-0.658661\pi$
$929$	1.32762	−	0.766499i	0.0435577	−	0.0251480i	0.521621	+	0.853178i	$0.325328\pi$
$930$	7.36675	−	24.4327i	0.241565	−	0.801181i
$931$	−3.94300	+	12.4681i	−0.129227	+	0.408624i
$932$			4.73350i			0.155051i
$933$	−4.58858	−	19.5308i	−0.150223	−	0.639409i
$934$	−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	$-0.449499\pi$
$937$	−18.9223	−	10.9248i	−0.618166	−	0.356898i	−0.776154	+	0.630543i	$0.782832\pi$
$938$	−13.8997			−0.453843
$939$	−39.1913	−	11.8166i	−1.27896	−	0.385621i
$940$	10.9282	−	2.92820i	0.356439	−	0.0955075i
$941$	1.50297	−	0.402720i	0.0489955	−	0.0131283i	−0.234238	−	0.972179i	$-0.575260\pi$
$941$	1.50297	−	0.402720i	0.0489955	−	0.0131283i	0.283234	+	0.959051i	$0.408593\pi$
$942$	42.9499	+	12.9499i	1.39938	+	0.421930i
$943$			40.2164i			1.30963i
$944$	−11.7932	+	3.15999i	−0.383837	+	0.102849i
$945$	26.7123	−	12.2660i	0.868951	−	0.399012i
$946$	0.884638	+	3.30151i	0.0287621	+	0.107341i
$947$	52.1361	+	13.9698i	1.69419	+	0.453958i	0.971467	−	0.237175i	$-0.0762215\pi$
$947$	52.1361	+	13.9698i	1.69419	+	0.453958i	0.722728	+	0.691133i	$0.242888\pi$
$948$	−22.3692	+	5.25544i	−0.726517	+	0.170689i
$949$	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
$952$	21.8564	+	5.85641i	0.708370	+	0.189807i
$953$	13.9248	+	24.1185i	0.451069	+	0.781274i	0.998453	−	0.0556074i	$-0.0177095\pi$
$953$	13.9248	+	24.1185i	0.451069	+	0.781274i	−0.547384	+	0.836882i	$0.684376\pi$
$954$	15.0510	+	30.2634i	0.487294	+	0.979814i
$955$	−29.0506	−	7.78408i	−0.940055	−	0.251887i
$956$	5.83138	+	3.36675i	0.188600	+	0.108888i
$957$	3.31662	+	1.00000i	0.107211	+	0.0323254i
$958$	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
$963$	−23.9307	−	8.03372i	−0.771155	−	0.258883i
$964$	−21.7946	+	12.5831i	−0.701957	+	0.405275i
$965$	5.31945	+	19.8524i	0.171239	+	0.639073i
$966$	17.9769	+	11.1369i	0.578397	+	0.358323i
$967$	25.6913	+	44.4987i	0.826177	+	1.43098i	0.901017	+	0.433785i	$0.142822\pi$
$967$	25.6913	+	44.4987i	0.826177	+	1.43098i	−0.0748397	+	0.997196i	$0.523845\pi$
$968$	21.8997	−	21.8997i	0.703885	−	0.703885i
$969$	−13.0829	−	27.2184i	−0.420282	−	0.874380i
$970$		−	39.7995i		−	1.27788i
$971$	−6.35958	+	23.7343i	−0.204089	+	0.761669i	0.785637	+	0.618688i	$0.212335\pi$
$971$	−6.35958	+	23.7343i	−0.204089	+	0.761669i	−0.989725	+	0.142981i	$0.954331\pi$
$972$	−25.1885	+	18.3723i	−0.807921	+	0.589291i
$973$	−10.0961	−	37.6792i	−0.323667	−	1.20794i
$974$	24.1559	+	6.47256i	0.774006	+	0.207394i
$975$	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	$-0.714087\pi$
$977$		−	48.8997i		−	1.56444i	0.623001	−	0.782221i	$-0.285913\pi$
$978$	23.2283	+	24.7172i	0.742760	+	0.790369i
$979$	−2.86900	+	0.768745i	−0.0916935	+	0.0245692i
$980$	−12.0000	−	12.0000i	−0.383326	−	0.383326i
$981$	−17.9499	+	3.63325i	−0.573095	+	0.116001i
$982$	4.68338	−	8.11184i	0.149453	−	0.258859i
$983$	51.8747	−	29.9499i	1.65455	−	0.955253i	0.679377	−	0.733789i	$-0.262250\pi$
$983$	51.8747	−	29.9499i	1.65455	−	0.955253i	0.975169	−	0.221464i	$-0.0710834\pi$
$984$	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
$987$	2.00000	−	6.63325i	0.0636607	−	0.211139i
$988$	34.4674	+	22.0000i	1.09655	+	0.699913i
$989$	−32.9499	−	32.9499i	−1.04775	−	1.04775i
$990$	−1.77821	−	2.01396i	−0.0565154	−	0.0640079i
$991$	−21.9683	+	12.6834i	−0.697844	+	0.402901i	−0.806544	−	0.591174i	$-0.798665\pi$
$991$	−21.9683	+	12.6834i	−0.697844	+	0.402901i	0.108700	+	0.994075i	$0.465331\pi$
$992$	−20.1263	+	5.39284i	−0.639012	+	0.171223i
$993$	24.2411	−	39.1294i	0.769267	−	1.24173i
$994$	−6.32914	+	1.69589i	−0.200748	+	0.0537903i
$995$	29.8997	−	29.8997i	0.947886	−	0.947886i
$996$	−3.63325	+	1.94987i	−0.115124	+	0.0617841i
$997$	−17.3943	+	4.66078i	−0.550883	+	0.147609i	−0.523514	−	0.852017i	$-0.675379\pi$
$997$	−17.3943	+	4.66078i	−0.550883	+	0.147609i	−0.0273682	+	0.999625i	$0.508713\pi$
$998$	−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.b.539.1	yes	8
3.2	odd	2		912.2.bv.a.539.2	yes	8
16.3	odd	4		912.2.bv.a.83.2	yes	8
19.11	even	3	inner	912.2.bv.b.11.2	yes	8
48.35	even	4	inner	912.2.bv.b.83.2	yes	8
57.11	odd	6		912.2.bv.a.11.2	✓	8
304.163	odd	12		912.2.bv.a.467.2	yes	8
912.467	even	12	inner	912.2.bv.b.467.1	yes	8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
912.2.bv.a.11.2	✓	8	57.11	odd	6
912.2.bv.a.83.2	yes	8	16.3	odd	4
912.2.bv.a.467.2	yes	8	304.163	odd	12
912.2.bv.a.539.2	yes	8	3.2	odd	2
912.2.bv.b.11.2	yes	8	19.11	even	3	inner
912.2.bv.b.83.2	yes	8	48.35	even	4	inner
912.2.bv.b.467.1	yes	8	912.467	even	12	inner
912.2.bv.b.539.1	yes	8	1.1	even	1	trivial

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)

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

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