LMFDB - Embedded newform 912.2.bv.b.539.2

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:	$0$
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			539.2
Root			$-1.26217 - 1.18614i$ of defining polynomial
Character	$\chi$	$=$	912.539
Dual form			912.2.bv.b.467.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.36603 + 0.366025i) q^{2} +(1.18614 - 1.26217i) q^{3} +(1.73205 + 1.00000i) q^{4} +(2.73205 + 0.732051i) q^{5} +(2.08228 - 1.29000i) q^{6} -2.00000 q^{7} +(2.00000 + 2.00000i) q^{8} +(-0.186141 - 2.99422i) q^{9} +O(q^{10})$	\(q+(1.36603 + 0.366025i) q^{2} +(1.18614 - 1.26217i) q^{3} +(1.73205 + 1.00000i) q^{4} +(2.73205 + 0.732051i) q^{5} +(2.08228 - 1.29000i) q^{6} -2.00000 q^{7} +(2.00000 + 2.00000i) q^{8} +(-0.186141 - 2.99422i) q^{9} +(3.46410 + 2.00000i) q^{10} +(3.15831 + 3.15831i) q^{11} +(3.31662 - 1.00000i) q^{12} +(-1.21397 - 4.53059i) q^{13} +(-2.73205 - 0.732051i) q^{14} +(4.16457 - 2.57999i) q^{15} +(2.00000 + 3.46410i) q^{16} +(-3.46410 + 2.00000i) q^{17} +(0.841688 - 4.15831i) q^{18} +(-3.21626 - 2.94205i) q^{19} +(4.00000 + 4.00000i) q^{20} +(-2.37228 + 2.52434i) q^{21} +(3.15831 + 5.47036i) q^{22} +(-2.00626 - 1.15831i) q^{23} +(4.89662 - 0.152056i) q^{24} +(2.59808 + 1.50000i) q^{25} -6.63325i q^{26} +(-4.00000 - 3.31662i) q^{27} +(-3.46410 - 2.00000i) q^{28} +(-0.432518 + 0.115893i) q^{29} +(6.63325 - 2.00000i) q^{30} +10.3166i q^{31} +(1.46410 + 5.46410i) q^{32} +(7.73253 - 0.240121i) q^{33} +(-5.46410 + 1.46410i) q^{34} +(-5.46410 - 1.46410i) q^{35} +(2.67181 - 5.37228i) q^{36} +(-0.683375 - 0.683375i) q^{37} +(-3.31662 - 5.19615i) q^{38} +(-7.15831 - 3.84169i) q^{39} +(4.00000 + 6.92820i) q^{40} +(1.34169 + 2.32387i) q^{41} +(-4.16457 + 2.57999i) q^{42} +(7.69516 + 2.06191i) q^{43} +(2.31205 + 8.62867i) q^{44} +(1.68338 - 8.31662i) q^{45} +(-2.31662 - 2.31662i) q^{46} +(1.00000 - 1.73205i) q^{47} +(6.74456 + 1.58457i) q^{48} -3.00000 q^{49} +(3.00000 + 3.00000i) q^{50} +(-1.58457 + 6.74456i) q^{51} +(2.42794 - 9.06119i) q^{52} +(-2.79396 - 10.4272i) q^{53} +(-4.25013 - 5.99470i) q^{54} +(6.31662 + 10.9407i) q^{55} +(-4.00000 - 4.00000i) q^{56} +(-7.52830 + 0.569772i) q^{57} -0.633250 q^{58} +(0.423972 - 1.58228i) q^{59} +(9.79324 - 0.304113i) q^{60} +(-3.15999 - 11.7932i) q^{61} +(-3.77615 + 14.0928i) q^{62} +(0.372281 + 5.98844i) q^{63} +8.00000i q^{64} -13.2665i q^{65} +(10.6507 + 2.50229i) q^{66} +(-8.84493 + 2.36999i) q^{67} -8.00000 q^{68} +(-3.84169 + 1.15831i) q^{69} +(-6.92820 - 4.00000i) q^{70} +(-3.73831 + 2.15831i) q^{71} +(5.61616 - 6.36072i) q^{72} +(11.5325 - 6.65831i) q^{73} +(-0.683375 - 1.18364i) q^{74} +(4.97494 - 1.50000i) q^{75} +(-2.62867 - 8.31205i) q^{76} +(-6.31662 - 6.31662i) q^{77} +(-8.37228 - 7.86797i) q^{78} +(-5.74456 + 3.31662i) q^{79} +(2.92820 + 10.9282i) q^{80} +(-8.93070 + 1.11469i) q^{81} +(0.982183 + 3.66556i) q^{82} +(4.15831 - 4.15831i) q^{83} +(-6.63325 + 2.00000i) q^{84} +(-10.9282 + 2.92820i) q^{85} +(9.75707 + 5.63325i) q^{86} +(-0.366750 + 0.683375i) q^{87} +12.6332i q^{88} +(-6.63325 + 11.4891i) q^{89} +(5.34363 - 10.7446i) q^{90} +(2.42794 + 9.06119i) q^{91} +(-2.31662 - 4.01251i) q^{92} +(13.0213 + 12.2370i) q^{93} +(2.00000 - 2.00000i) q^{94} +(-6.63325 - 10.3923i) q^{95} +(8.63325 + 4.63325i) q^{96} +(4.97494 + 8.61684i) q^{97} +(-4.09808 - 1.09808i) q^{98} +(8.86879 - 10.0446i) 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
$3$	1.18614	−	1.26217i	0.684819	−	0.728714i
$3$	1.18614	−	1.26217i	0.684819	−	0.728714i
$4$	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	$0.365380\pi$
$6$	2.08228	−	1.29000i	0.850089	−	0.526639i
$7$	−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
$9$	−0.186141	−	2.99422i	−0.0620469	−	0.998073i
$10$	3.46410	+	2.00000i	1.09545	+	0.632456i
$11$	3.15831	+	3.15831i	0.952267	+	0.952267i	0.998912	−	0.0466445i	$-0.0148528\pi$
$11$	3.15831	+	3.15831i	0.952267	+	0.952267i	−0.0466445	+	0.998912i	$0.514853\pi$
$12$	3.31662	−	1.00000i	0.957427	−	0.288675i
$13$	−1.21397	−	4.53059i	−0.336694	−	1.25656i	−0.902021	−	0.431693i	$-0.857916\pi$
$13$	−1.21397	−	4.53059i	−0.336694	−	1.25656i	0.565326	−	0.824867i	$-0.308750\pi$
$14$	−2.73205	−	0.732051i	−0.730171	−	0.195649i
$15$	4.16457	−	2.57999i	1.07529	−	0.666152i
$16$	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	$0.494540\pi$
$18$	0.841688	−	4.15831i	0.198388	−	0.980124i
$19$	−3.21626	−	2.94205i	−0.737860	−	0.674953i
$19$	−3.21626	−	2.94205i	−0.737860	−	0.674953i
$20$	4.00000	+	4.00000i	0.894427	+	0.894427i
$21$	−2.37228	+	2.52434i	−0.517674	+	0.550856i
$22$	3.15831	+	5.47036i	0.673354	+	1.16628i
$23$	−2.00626	−	1.15831i	−0.418333	−	0.241525i	0.276031	−	0.961149i	$-0.410981\pi$
$23$	−2.00626	−	1.15831i	−0.418333	−	0.241525i	−0.694364	+	0.719624i	$0.744314\pi$
$24$	4.89662	−	0.152056i	0.999518	−	0.0310384i
$25$	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
$29$	−0.432518	+	0.115893i	−0.0803165	+	0.0215207i	−0.298754	−	0.954330i	$-0.596571\pi$
$29$	−0.432518	+	0.115893i	−0.0803165	+	0.0215207i	0.218437	+	0.975851i	$0.429904\pi$
$30$	6.63325	−	2.00000i	1.21106	−	0.365148i
$31$			10.3166i			1.85292i	0.376393	+	0.926460i	$0.377164\pi$
$31$			10.3166i			1.85292i	−0.376393	+	0.926460i	$0.622836\pi$
$32$	1.46410	+	5.46410i	0.258819	+	0.965926i
$33$	7.73253	−	0.240121i	1.34606	−	0.0417997i
$34$	−5.46410	+	1.46410i	−0.937086	+	0.251091i
$35$	−5.46410	−	1.46410i	−0.923602	−	0.247478i
$36$	2.67181	−	5.37228i	0.445302	−	0.895380i
$37$	−0.683375	−	0.683375i	−0.112346	−	0.112346i	0.648699	−	0.761045i	$-0.275313\pi$
$37$	−0.683375	−	0.683375i	−0.112346	−	0.112346i	−0.761045	+	0.648699i	$0.775313\pi$
$38$	−3.31662	−	5.19615i	−0.538028	−	0.842927i
$39$	−7.15831	−	3.84169i	−1.14625	−	0.615162i
$40$	4.00000	+	6.92820i	0.632456	+	1.09545i
$41$	1.34169	+	2.32387i	0.209536	+	0.362928i	0.951569	−	0.307437i	$-0.0994712\pi$
$41$	1.34169	+	2.32387i	0.209536	+	0.362928i	−0.742032	+	0.670364i	$0.766138\pi$
$42$	−4.16457	+	2.57999i	−0.642607	+	0.398102i
$43$	7.69516	+	2.06191i	1.17350	+	0.314439i	0.792346	−	0.610072i	$-0.208860\pi$
$43$	7.69516	+	2.06191i	1.17350	+	0.314439i	0.381155	+	0.924511i	$0.375526\pi$
$44$	2.31205	+	8.62867i	0.348554	+	1.30082i
$45$	1.68338	−	8.31662i	0.250943	−	1.23977i
$46$	−2.31662	−	2.31662i	−0.341568	−	0.341568i
$47$	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	$0.120070\pi$
$48$	6.74456	+	1.58457i	0.973494	+	0.228714i
$49$	−3.00000			−0.428571
$50$	3.00000	+	3.00000i	0.424264	+	0.424264i
$51$	−1.58457	+	6.74456i	−0.221885	+	0.944428i
$52$	2.42794	−	9.06119i	0.336694	−	1.25656i
$53$	−2.79396	−	10.4272i	−0.383780	−	1.43229i	−0.840080	−	0.542462i	$-0.817492\pi$
$53$	−2.79396	−	10.4272i	−0.383780	−	1.43229i	0.456300	−	0.889826i	$-0.349174\pi$
$54$	−4.25013	−	5.99470i	−0.578370	−	0.815775i
$55$	6.31662	+	10.9407i	0.851734	+	1.47525i
$56$	−4.00000	−	4.00000i	−0.534522	−	0.534522i
$57$	−7.52830	+	0.569772i	−0.997148	+	0.0754682i
$58$	−0.633250			−0.0831497
$59$	0.423972	−	1.58228i	0.0551964	−	0.205996i	−0.932821	−	0.360341i	$-0.882660\pi$
$59$	0.423972	−	1.58228i	0.0551964	−	0.205996i	0.988017	+	0.154345i	$0.0493269\pi$
$60$	9.79324	−	0.304113i	1.26430	−	0.0392608i
$61$	−3.15999	−	11.7932i	−0.404595	−	1.50997i	−0.804801	−	0.593544i	$-0.797728\pi$
$61$	−3.15999	−	11.7932i	−0.404595	−	1.50997i	0.400206	−	0.916425i	$-0.368938\pi$
$62$	−3.77615	+	14.0928i	−0.479571	+	1.78978i
$63$	0.372281	+	5.98844i	0.0469030	+	0.754472i
$64$			8.00000i			1.00000i
$65$		−	13.2665i		−	1.64551i
$66$	10.6507	+	2.50229i	1.31101	+	0.308011i
$67$	−8.84493	+	2.36999i	−1.08058	+	0.289541i	−0.754833	−	0.655917i	$-0.772282\pi$
$67$	−8.84493	+	2.36999i	−1.08058	+	0.289541i	−0.325747	+	0.945457i	$0.605616\pi$
$68$	−8.00000			−0.970143
$69$	−3.84169	+	1.15831i	−0.462485	+	0.139444i
$70$	−6.92820	−	4.00000i	−0.828079	−	0.478091i
$71$	−3.73831	+	2.15831i	−0.443655	+	0.256145i	−0.705147	−	0.709061i	$-0.749119\pi$
$71$	−3.73831	+	2.15831i	−0.443655	+	0.256145i	0.261492	+	0.965206i	$0.415786\pi$
$72$	5.61616	−	6.36072i	0.661871	−	0.749618i
$73$	11.5325	−	6.65831i	1.34978	−	0.779297i	0.361563	−	0.932348i	$-0.382243\pi$
$73$	11.5325	−	6.65831i	1.34978	−	0.779297i	0.988218	+	0.153051i	$0.0489099\pi$
$74$	−0.683375	−	1.18364i	−0.0794408	−	0.137595i
$75$	4.97494	−	1.50000i	0.574456	−	0.173205i
$76$	−2.62867	−	8.31205i	−0.301529	−	0.953457i
$77$	−6.31662	−	6.31662i	−0.719846	−	0.719846i
$78$	−8.37228	−	7.86797i	−0.947974	−	0.890872i
$79$	−5.74456	+	3.31662i	−0.646314	+	0.373149i	−0.787043	−	0.616899i	$-0.788389\pi$
$79$	−5.74456	+	3.31662i	−0.646314	+	0.373149i	0.140729	+	0.990048i	$0.455055\pi$
$80$	2.92820	+	10.9282i	0.327383	+	1.22181i
$81$	−8.93070	+	1.11469i	−0.992300	+	0.123855i
$82$	0.982183	+	3.66556i	0.108464	+	0.404793i
$83$	4.15831	−	4.15831i	0.456434	−	0.456434i	−0.441049	−	0.897483i	$-0.645393\pi$
$83$	4.15831	−	4.15831i	0.456434	−	0.456434i	0.897483	+	0.441049i	$0.145393\pi$
$84$	−6.63325	+	2.00000i	−0.723747	+	0.218218i
$85$	−10.9282	+	2.92820i	−1.18533	+	0.317608i
$86$	9.75707	+	5.63325i	1.05213	+	0.607449i
$87$	−0.366750	+	0.683375i	−0.0393198	+	0.0732655i
$88$			12.6332i			1.34671i
$89$	−6.63325	+	11.4891i	−0.703123	+	1.21784i	0.264242	+	0.964457i	$0.414878\pi$
$89$	−6.63325	+	11.4891i	−0.703123	+	1.21784i	−0.967365	+	0.253388i	$0.918455\pi$
$90$	5.34363	−	10.7446i	0.563268	−	1.13258i
$91$	2.42794	+	9.06119i	0.254517	+	0.949871i
$92$	−2.31662	−	4.01251i	−0.241525	−	0.418333i
$93$	13.0213	+	12.2370i	1.35025	+	1.26891i
$94$	2.00000	−	2.00000i	0.206284	−	0.206284i
$95$	−6.63325	−	10.3923i	−0.680557	−	1.06623i
$96$	8.63325	+	4.63325i	0.881127	+	0.472879i
$97$	4.97494	+	8.61684i	0.505128	+	0.874908i	0.999982	+	0.00593185i	$0.00188818\pi$
$97$	4.97494	+	8.61684i	0.505128	+	0.874908i	−0.494854	+	0.868976i	$0.664778\pi$
$98$	−4.09808	−	1.09808i	−0.413968	−	0.110922i
$99$	8.86879	−	10.0446i	0.891347	−	1.00952i
$100$	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	$-0.331758\pi$
$102$	−4.63325	+	8.63325i	−0.458760	+	0.854819i
$103$	1.68338			0.165868			0.0829339	−	0.996555i	$-0.473571\pi$
$103$	1.68338			0.165868			0.0829339	+	0.996555i	$0.473571\pi$
$104$	6.63325	−	11.4891i	0.650444	−	1.12660i
$105$	−8.32914	+	5.15999i	−0.812841	+	0.503563i
$106$		−	15.2665i		−	1.48281i
$107$	13.9499	+	13.9499i	1.34859	+	1.34859i	0.887200	+	0.461385i	$0.152647\pi$
$107$	13.9499	+	13.9499i	1.34859	+	1.34859i	0.461385	+	0.887200i	$0.347353\pi$
$108$	−3.61158	−	9.74456i	−0.347524	−	0.937671i
$109$	3.16457	+	0.847944i	0.303111	+	0.0812183i	0.407169	−	0.913353i	$-0.366516\pi$
$109$	3.16457	+	0.847944i	0.303111	+	0.0812183i	−0.104058	+	0.994571i	$0.533183\pi$
$110$	4.62409	+	17.2573i	0.440890	+	1.64542i
$111$	−1.67311	+	0.0519558i	−0.158805	+	0.00493143i
$112$	−4.00000	−	6.92820i	−0.377964	−	0.654654i
$113$			1.94987i			0.183429i	0.995785	+	0.0917144i	$0.0292347\pi$
$113$			1.94987i			0.183429i	−0.995785	+	0.0917144i	$0.970765\pi$
$114$	−10.4924	−	1.97723i	−0.982704	−	0.185184i
$115$	−4.63325	−	4.63325i	−0.432053	−	0.432053i
$116$	−0.865035	−	0.231785i	−0.0803165	−	0.0215207i
$117$	−13.3396	+	4.47822i	−1.23325	+	0.414011i
$118$	1.15831	−	2.00626i	0.106631	−	0.184691i
$119$	6.92820	−	4.00000i	0.635107	−	0.366679i
$120$	13.4891	+	3.16915i	1.23138	+	0.289302i
$121$			8.94987i			0.813625i
$122$		−	17.2665i		−	1.56324i
$123$	4.52455	+	1.06300i	0.407965	+	0.0958476i
$124$	−10.3166	+	17.8689i	−0.926460	+	1.60468i
$125$	−4.00000	−	4.00000i	−0.357771	−	0.357771i
$126$	−1.68338	+	8.31662i	−0.149967	+	0.740904i
$127$	4.28672	+	2.47494i	0.380385	+	0.219615i	0.677986	−	0.735075i	$-0.262853\pi$
$127$	4.28672	+	2.47494i	0.380385	+	0.219615i	−0.297601	+	0.954690i	$0.596186\pi$
$128$	−2.92820	+	10.9282i	−0.258819	+	0.965926i
$129$	11.7300	−	7.26688i	1.03277	−	0.639813i
$130$	4.85588	−	18.1224i	0.425888	−	1.58944i
$131$	10.2110	+	2.73602i	0.892135	+	0.239047i	0.675636	−	0.737236i	$-0.263869\pi$
$131$	10.2110	+	2.73602i	0.892135	+	0.239047i	0.216500	+	0.976283i	$0.430536\pi$
$132$	13.6332	+	7.31662i	1.18662	+	0.636830i
$133$	6.43252	+	5.88411i	0.557770	+	0.510217i
$134$	−12.9499			−1.11870
$135$	−8.50027	−	11.9894i	−0.731586	−	1.03188i
$136$	−10.9282	−	2.92820i	−0.937086	−	0.251091i
$137$	1.65831	−	2.87228i	0.141679	−	0.245396i	−0.786450	−	0.617654i	$-0.788083\pi$
$137$	1.65831	−	2.87228i	0.141679	−	0.245396i	0.928129	+	0.372259i	$0.121417\pi$
$138$	−5.67181	+	0.176129i	−0.482817	+	0.0149931i
$139$	−1.02178	−	3.81334i	−0.0866665	−	0.323444i	0.908958	−	0.416888i	$-0.136879\pi$
$139$	−1.02178	−	3.81334i	−0.0866665	−	0.323444i	−0.995625	+	0.0934439i	$0.970212\pi$
$140$	−8.00000	−	8.00000i	−0.676123	−	0.676123i
$141$	−1.00000	−	3.31662i	−0.0842152	−	0.279310i
$142$	−5.89662	+	1.57999i	−0.494833	+	0.132590i
$143$	10.4749	−	18.1431i	0.875958	−	1.51720i
$144$	10.0000	−	6.63325i	0.833333	−	0.552771i
$145$	−1.26650			−0.105177
$146$	18.1908	−	4.87422i	1.50549	−	0.403394i
$147$	−3.55842	+	3.78651i	−0.293494	+	0.312306i
$148$	−0.500265	−	1.86702i	−0.0411216	−	0.153468i
$149$	−1.79854	−	0.481918i	−0.147342	−	0.0394803i	0.184394	−	0.982852i	$-0.440968\pi$
$149$	−1.79854	−	0.481918i	−0.147342	−	0.0394803i	−0.331736	+	0.943372i	$0.607634\pi$
$150$	7.34493	−	0.228085i	0.599711	−	0.0186230i
$151$	−24.2164			−1.97070			−0.985350	−	0.170543i	$-0.945448\pi$
$151$	−24.2164			−1.97070			−0.985350	+	0.170543i	$0.945448\pi$
$152$	−0.548410	−	12.3166i	−0.0444819	−	0.999010i
$153$	6.63325	+	10.0000i	0.536266	+	0.808452i
$154$	−6.31662	−	10.9407i	−0.509008	−	0.881628i
$155$	−7.55229	+	28.1855i	−0.606615	+	2.26392i
$156$	−8.55687	−	13.8123i	−0.685098	−	1.10587i
$157$	9.49370	+	2.54383i	0.757680	+	0.203020i	0.616922	−	0.787024i	$-0.288379\pi$
$157$	9.49370	+	2.54383i	0.757680	+	0.203020i	0.140758	+	0.990044i	$0.455046\pi$
$158$	−9.06119	+	2.42794i	−0.720869	+	0.193156i
$159$	−16.4749	−	8.84169i	−1.30655	−	0.701191i
$160$			16.0000i			1.26491i
$161$	4.01251	+	2.31662i	0.316230	+	0.182576i
$162$	−12.6076	−	1.74617i	−0.990545	−	0.137192i
$163$	6.79156	+	6.79156i	0.531956	+	0.531956i	0.921154	−	0.389198i	$-0.127248\pi$
$163$	6.79156	+	6.79156i	0.531956	+	0.531956i	−0.389198	+	0.921154i	$0.627248\pi$
$164$			5.36675i			0.419073i
$165$	21.3014	+	5.00458i	1.65831	+	0.389606i
$166$	7.20241	−	4.15831i	0.559015	−	0.322748i
$167$	−5.74456	−	3.31662i	−0.444528	−	0.256648i	0.260989	−	0.965342i	$-0.415951\pi$
$167$	−5.74456	−	3.31662i	−0.444528	−	0.256648i	−0.705516	+	0.708694i	$0.749285\pi$
$168$	−9.79324	+	0.304113i	−0.755565	+	0.0234628i
$169$	−7.79423	+	4.50000i	−0.599556	+	0.346154i
$170$	−16.0000			−1.22714
$171$	−8.21048	+	10.1778i	−0.627871	+	0.778317i
$172$	11.2665	+	11.2665i	0.859063	+	0.859063i
$173$	−5.10601	+	19.0559i	−0.388203	+	1.44879i	0.444853	+	0.895603i	$0.353256\pi$
$173$	−5.10601	+	19.0559i	−0.388203	+	1.44879i	−0.833056	+	0.553189i	$0.813411\pi$
$174$	−0.751123	+	0.799268i	−0.0569425	+	0.0605923i
$175$	−5.19615	−	3.00000i	−0.392792	−	0.226779i
$176$	−4.62409	+	17.2573i	−0.348554	+	1.30082i
$177$	−1.49422	−	2.41194i	−0.112312	−	0.181292i
$178$	−13.2665	+	13.2665i	−0.994366	+	0.994366i
$179$	−12.1082	+	12.1082i	−0.905008	+	0.905008i	−0.995864	−	0.0908557i	$-0.971040\pi$
$179$	−12.1082	+	12.1082i	−0.905008	+	0.905008i	0.0908557	+	0.995864i	$0.471040\pi$
$180$	11.2323	−	12.7214i	0.837207	−	0.948200i
$181$	−7.26264	+	1.94602i	−0.539828	+	0.144647i	−0.518423	−	0.855124i	$-0.673481\pi$
$181$	−7.26264	+	1.94602i	−0.539828	+	0.144647i	−0.0214052	+	0.999771i	$0.506814\pi$
$182$			13.2665i			0.983378i
$183$	−18.6332	−	10.0000i	−1.37741	−	0.739221i
$184$	−1.69589	−	6.32914i	−0.125022	−	0.466590i
$185$	−1.36675	−	2.36728i	−0.100485	−	0.174046i
$186$	13.3084	+	21.4821i	0.975820	+	1.57515i
$187$	−17.2573	−	4.62409i	−1.26198	−	0.338147i
$188$	3.46410	−	2.00000i	0.252646	−	0.145865i
$189$	8.00000	+	6.63325i	0.581914	+	0.482498i
$190$	−5.25734	−	16.6241i	−0.381408	−	1.20604i
$191$	2.63325			0.190535			0.0952676	−	0.995452i	$-0.469629\pi$
$191$	2.63325			0.190535			0.0952676	+	0.995452i	$0.469629\pi$
$192$	10.0974	+	9.48913i	0.728714	+	0.684819i
$193$	−9.63325	−	16.6853i	−0.693416	−	1.20103i	−0.970712	−	0.240248i	$-0.922771\pi$
$193$	−9.63325	−	16.6853i	−0.693416	−	1.20103i	0.277295	−	0.960785i	$-0.410562\pi$
$194$	3.64191	+	13.5918i	0.261474	+	0.975833i
$195$	−16.7446	−	15.7359i	−1.19910	−	1.12687i
$196$	−5.19615	−	3.00000i	−0.371154	−	0.214286i
$197$	9.31662	−	9.31662i	0.663782	−	0.663782i	−0.292487	−	0.956269i	$-0.594483\pi$
$197$	9.31662	−	9.31662i	0.663782	−	0.663782i	0.956269	+	0.292487i	$0.0944829\pi$
$198$	15.7916	−	10.4749i	1.12226	−	0.744421i
$199$	−2.47494	+	4.28672i	−0.175444	+	0.303877i	−0.940315	−	0.340306i	$-0.889469\pi$
$199$	−2.47494	+	4.28672i	−0.175444	+	0.303877i	0.764871	+	0.644183i	$0.222803\pi$
$200$	2.19615	+	8.19615i	0.155291	+	0.579555i
$201$	−7.50000	+	13.9749i	−0.529009	+	0.985716i
$202$		−	20.0000i		−	1.40720i
$203$	0.865035	−	0.231785i	0.0607136	−	0.0162681i
$204$	−9.48913	+	10.0974i	−0.664372	+	0.706956i
$205$	1.96437	+	7.33112i	0.137197	+	0.512027i
$206$	2.29953	+	0.616158i	0.160216	+	0.0429298i
$207$	−3.09480	+	6.22278i	−0.215103	+	0.432513i
$208$	13.2665	−	13.2665i	0.919866	−	0.919866i
$209$	−0.866025	−	19.4499i	−0.0599042	−	1.34538i
$210$	−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	$0.129985\pi$
$212$	5.58793	−	20.8544i	0.383780	−	1.43229i
$213$	−1.71000	+	7.27844i	−0.117167	+	0.498710i
$214$	13.9499	+	24.1619i	0.953594	+	1.65167i
$215$	19.5141	+	11.2665i	1.33085	+	0.768369i
$216$	−1.36675	−	14.6332i	−0.0929956	−	0.995667i
$217$		−	20.6332i		−	1.40068i
$218$	4.01251	+	2.31662i	0.271762	+	0.156902i
$219$	5.27529	−	22.4537i	0.356471	−	1.51728i
$220$			25.2665i			1.70347i
$221$	13.2665	+	13.2665i	0.892401	+	0.892401i
$222$	−2.30453	−	0.541429i	−0.154670	−	0.0363384i
$223$	−21.6072	+	12.4749i	−1.44693	+	0.835384i	−0.998297	−	0.0583342i	$-0.981421\pi$
$223$	−21.6072	+	12.4749i	−1.44693	+	0.835384i	−0.448630	+	0.893718i	$0.648088\pi$
$224$	−2.92820	−	10.9282i	−0.195649	−	0.730171i
$225$	4.00772	−	8.05842i	0.267181	−	0.537228i
$226$	−0.713704	+	2.66358i	−0.0474749	+	0.177179i
$227$	18.4749	−	18.4749i	1.22622	−	1.22622i	0.260844	−	0.965381i	$-0.415999\pi$
$227$	18.4749	−	18.4749i	1.22622	−	1.22622i	0.965381	−	0.260844i	$-0.0840007\pi$
$228$	−13.6092	−	6.54143i	−0.901290	−	0.433217i
$229$	−12.3166	−	12.3166i	−0.813905	−	0.813905i	0.171311	−	0.985217i	$-0.445200\pi$
$229$	−12.3166	−	12.3166i	−0.813905	−	0.813905i	−0.985217	+	0.171311i	$0.945200\pi$
$230$	−4.63325	−	8.02502i	−0.305507	−	0.529154i
$231$	−15.4651	+	0.480242i	−1.01753	+	0.0315976i
$232$	−1.09682	−	0.633250i	−0.0720098	−	0.0415749i
$233$	7.81662	+	13.5388i	0.512084	+	0.886956i	0.999902	+	0.0140102i	$0.00445973\pi$
$233$	7.81662	+	13.5388i	0.512084	+	0.886956i	−0.487818	+	0.872946i	$0.662207\pi$
$234$	−19.8614	+	1.23472i	−1.29838	+	0.0807160i
$235$	4.00000	−	4.00000i	0.260931	−	0.260931i
$236$	2.31662	−	2.31662i	0.150799	−	0.150799i
$237$	−2.62772	+	11.1846i	−0.170689	+	0.726517i
$238$	10.9282	−	2.92820i	0.708370	−	0.189807i
$239$	16.6332			1.07592			0.537958	−	0.842972i	$-0.319196\pi$
$239$	16.6332			1.07592			0.537958	+	0.842972i	$0.319196\pi$
$240$	17.2665	+	9.26650i	1.11455	+	0.598150i
$241$	10.2916	−	17.8255i	0.662938	−	1.14824i	−0.316902	−	0.948458i	$-0.602643\pi$
$241$	10.2916	−	17.8255i	0.662938	−	1.14824i	0.979840	−	0.199784i	$-0.0640240\pi$
$242$	−3.27588	+	12.2258i	−0.210582	+	0.785901i
$243$	−9.18614	+	12.5942i	−0.589291	+	0.807921i
$244$	6.31998	−	23.5865i	0.404595	−	1.50997i
$245$	−8.19615	−	2.19615i	−0.523633	−	0.140307i
$246$	5.79156	+	3.10819i	0.369257	+	0.198171i
$247$	−9.42481	+	18.1431i	−0.599686	+	1.15442i
$248$	−20.6332	+	20.6332i	−1.31021	+	1.31021i
$249$	−0.316149	−	10.1808i	−0.0200351	−	0.645184i
$250$	−4.00000	−	6.92820i	−0.252982	−	0.438178i
$251$	−13.8765	+	3.71820i	−0.875878	+	0.234691i	−0.668628	−	0.743597i	$-0.733118\pi$
$251$	−13.8765	+	3.71820i	−0.875878	+	0.234691i	−0.207250	+	0.978288i	$0.566451\pi$
$252$	−5.34363	+	10.7446i	−0.336617	+	0.676844i
$253$	−2.67807	−	9.99470i	−0.168369	−	0.628361i
$254$	4.94987	+	4.94987i	0.310583	+	0.310583i
$255$	−9.26650	+	17.2665i	−0.580291	+	1.08127i
$256$	−8.00000	+	13.8564i	−0.500000	+	0.866025i
$257$	8.70366	+	5.02506i	0.542920	+	0.313455i	0.746261	−	0.665653i	$-0.231847\pi$
$257$	8.70366	+	5.02506i	0.542920	+	0.313455i	−0.203342	+	0.979108i	$0.565180\pi$
$258$	18.6834	−	5.63325i	1.16318	−	0.350711i
$259$	1.36675	+	1.36675i	0.0849257	+	0.0849257i
$260$	13.2665	−	22.9783i	0.822753	−	1.42505i
$261$	0.427517	+	1.27348i	0.0264627	+	0.0788264i
$262$	12.9470	+	7.47494i	0.799867	+	0.461803i
$263$	−9.84389	+	5.68338i	−0.607001	+	0.350452i	−0.771791	−	0.635877i	$-0.780639\pi$
$263$	−9.84389	+	5.68338i	−0.607001	+	0.350452i	0.164790	+	0.986329i	$0.447305\pi$
$264$	15.9453	+	14.9848i	0.981365	+	0.922251i
$265$		−	30.5330i		−	1.87563i
$266$	6.63325	+	10.3923i	0.406711	+	0.637193i
$267$	6.63325	+	22.0000i	0.405948	+	1.34638i
$268$	−17.6899	−	4.73998i	−1.08058	−	0.289541i
$269$	4.50820	−	16.8248i	0.274870	−	1.02583i	−0.681059	−	0.732229i	$-0.738480\pi$
$269$	4.50820	−	16.8248i	0.274870	−	1.02583i	0.955929	−	0.293599i	$-0.0948530\pi$
$270$	−7.22316	−	19.4891i	−0.439587	−	1.18607i
$271$	8.11184	−	4.68338i	0.492759	−	0.284495i	−0.232959	−	0.972487i	$-0.574841\pi$
$271$	8.11184	−	4.68338i	0.492759	−	0.284495i	0.725719	+	0.687992i	$0.241507\pi$
$272$	−13.8564	−	8.00000i	−0.840168	−	0.485071i
$273$	14.3166	+	7.68338i	0.866482	+	0.465019i
$274$	3.31662	−	3.31662i	0.200365	−	0.200365i
$275$	3.46807	+	12.9430i	0.209132	+	0.780493i
$276$	−7.81231	−	1.83543i	−0.470246	−	0.110480i
$277$	15.5831	+	15.5831i	0.936299	+	0.936299i	0.998089	−	0.0617900i	$-0.0196809\pi$
$277$	15.5831	+	15.5831i	0.936299	+	0.936299i	−0.0617900	+	0.998089i	$0.519681\pi$
$278$		−	5.58312i		−	0.334854i
$279$	30.8902	−	1.92034i	1.84935	−	0.114968i
$280$	−8.00000	−	13.8564i	−0.478091	−	0.828079i
$281$	13.8166	−	23.9311i	0.824231	−	1.42761i	−0.0782751	−	0.996932i	$-0.524941\pi$
$281$	13.8166	−	23.9311i	0.824231	−	1.42761i	0.902506	−	0.430678i	$-0.141725\pi$
$282$	−0.152056	−	4.89662i	−0.00905483	−	0.291589i
$283$	21.5717	+	5.78011i	1.28230	+	0.343592i	0.834732	−	0.550656i	$-0.185623\pi$
$283$	21.5717	+	5.78011i	1.28230	+	0.343592i	0.447571	+	0.894248i	$0.352289\pi$
$284$	−8.63325			−0.512289
$285$	−20.9848	−	3.95445i	−1.24303	−	0.234242i
$286$	20.9499	−	20.9499i	1.23879	−	1.23879i
$287$	−2.68338	−	4.64774i	−0.158395	−	0.274348i
$288$	16.0882	−	5.40093i	0.948006	−	0.318253i
$289$	−0.500000	+	0.866025i	−0.0294118	+	0.0509427i
$290$	−1.73007	−	0.463571i	−0.101593	−	0.0272218i
$291$	16.7769	+	3.94158i	0.983479	+	0.231059i
$292$	26.6332			1.55859
$293$	−6.31662	+	6.31662i	−0.369021	+	0.369021i	−0.867120	−	0.498099i	$-0.834032\pi$
$293$	−6.31662	+	6.31662i	−0.369021	+	0.369021i	0.498099	+	0.867120i	$0.334032\pi$
$294$	−6.24685	+	3.86999i	−0.364324	+	0.225702i
$295$	2.31662	−	4.01251i	0.134879	−	0.233617i
$296$		−	2.73350i		−	0.158882i
$297$	−2.15831	−	23.1082i	−0.125238	−	1.34087i
$298$	−2.28046	−	1.31662i	−0.132104	−	0.0762700i
$299$	−2.81231	+	10.4957i	−0.162640	+	0.606981i
$300$	10.1168	+	2.37686i	0.584096	+	0.137228i
$301$	−15.3903	−	4.12382i	−0.887084	−	0.237693i
$302$	−33.0802	−	8.86381i	−1.90355	−	0.510055i
$303$	−21.5831	−	11.5831i	−1.23992	−	0.665433i
$304$	3.75906	−	17.0256i	0.215597	−	0.976483i
$305$		−	34.5330i		−	1.97735i
$306$	5.40093	+	16.0882i	0.308751	+	0.919701i
$307$	3.94999	−	14.7415i	0.225438	−	0.841345i	−0.756791	−	0.653657i	$-0.773234\pi$
$307$	3.94999	−	14.7415i	0.225438	−	0.841345i	0.982229	−	0.187688i	$-0.0600993\pi$
$308$	−4.62409	−	17.2573i	−0.263482	−	0.983328i
$309$	1.99672	−	2.12470i	0.113589	−	0.120870i
$310$	−20.6332	+	35.7378i	−1.17189	+	2.02977i
$311$		−	21.5831i		−	1.22387i	−0.790909	−	0.611933i	$-0.790392\pi$
$311$		−	21.5831i		−	1.22387i	0.790909	−	0.611933i	$-0.209608\pi$
$312$	−6.63325	−	22.0000i	−0.375534	−	1.24550i
$313$	8.97787	+	5.18338i	0.507459	+	0.292982i	0.731789	−	0.681532i	$-0.238686\pi$
$313$	8.97787	+	5.18338i	0.507459	+	0.292982i	−0.224329	+	0.974513i	$0.572019\pi$
$314$	12.0375	+	6.94987i	0.679317	+	0.392204i
$315$	−3.36675	+	16.6332i	−0.189695	+	0.937177i
$316$	−13.2665			−0.746299
$317$	21.3554	−	5.72217i	1.19944	−	0.321389i	0.396829	−	0.917892i	$-0.370111\pi$
$317$	21.3554	−	5.72217i	1.19944	−	0.321389i	0.802610	+	0.596504i	$0.203444\pi$
$318$	−19.2689	−	18.1082i	−1.08055	−	1.01546i
$319$	−1.73205	−	1.00000i	−0.0969762	−	0.0559893i
$320$	−5.85641	+	21.8564i	−0.327383	+	1.22181i
$321$	34.1536	−	1.06058i	1.90627	−	0.0591960i
$322$	4.63325	+	4.63325i	0.258201	+	0.258201i
$323$	17.0256	+	3.75906i	0.947327	+	0.209159i
$324$	−16.5831	−	7.00000i	−0.921285	−	0.388889i
$325$	3.64191	−	13.5918i	0.202017	−	0.753936i
$326$	6.79156	+	11.7633i	0.376150	+	0.651511i
$327$	4.82387	−	2.98844i	0.266761	−	0.165261i
$328$	−1.96437	+	7.33112i	−0.108464	+	0.404793i
$329$	−2.00000	+	3.46410i	−0.110264	+	0.190982i
$330$	27.2665	+	14.6332i	1.50097	+	0.805534i
$331$	−2.20844	+	2.20844i	−0.121387	+	0.121387i	−0.765191	−	0.643804i	$-0.777355\pi$
$331$	−2.20844	+	2.20844i	−0.121387	+	0.121387i	0.643804	+	0.765191i	$0.277355\pi$
$332$	11.3607	−	3.04410i	0.623501	−	0.167066i
$333$	−1.91897	+	2.17338i	−0.105159	+	0.119100i
$334$	−6.63325	−	6.63325i	−0.362955	−	0.362955i
$335$	−25.8997			−1.41505
$336$	−13.4891	−	3.16915i	−0.735892	−	0.172891i
$337$	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
$339$	2.46107	+	2.31283i	0.133667	+	0.125615i
$340$	−21.8564	−	5.85641i	−1.18533	−	0.317608i
$341$	−32.5831	+	32.5831i	−1.76448	+	1.76448i
$342$	−14.9411	+	10.8979i	−0.807920	+	0.589292i
$343$	20.0000			1.07990
$344$	11.2665	+	19.5141i	0.607449	+	1.05213i
$345$	−11.3436	+	0.352258i	−0.610720	+	0.0189649i
$346$	−13.9499	+	24.1619i	−0.749950	+	1.29895i
$347$	4.70038	−	17.5421i	0.252330	−	0.941708i	−0.717227	−	0.696840i	$-0.754589\pi$
$347$	4.70038	−	17.5421i	0.252330	−	0.941708i	0.969556	−	0.244868i	$-0.0787446\pi$
$348$	−1.31861	+	0.816890i	−0.0706847	+	0.0437899i
$349$	−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
$351$	−10.1704	+	22.1487i	−0.542856	+	1.18221i
$352$	−12.6332	+	21.8814i	−0.673354	+	1.16628i
$353$		−	12.5831i		−	0.669732i	−0.942266	−	0.334866i	$-0.891309\pi$
$353$		−	12.5831i		−	0.669732i	0.942266	−	0.334866i	$-0.108691\pi$
$354$	−1.15831	−	3.84169i	−0.0615636	−	0.204183i
$355$	−11.7932	+	3.15999i	−0.625920	+	0.167715i
$356$	−22.9783	+	13.2665i	−1.21784	+	0.703123i
$357$	3.16915	−	13.4891i	0.167729	−	0.713920i
$358$	−20.9720	+	12.1082i	−1.10840	+	0.639938i
$359$	26.7166	−	15.4248i	1.41005	−	0.814090i	0.414654	−	0.909979i	$-0.363903\pi$
$359$	26.7166	−	15.4248i	1.41005	−	0.814090i	0.995392	+	0.0958888i	$0.0305693\pi$
$360$	20.0000	−	13.2665i	1.05409	−	0.699206i
$361$	1.68864	+	18.9248i	0.0888758	+	0.996043i
$362$	−10.6332			−0.558871
$363$	11.2963	+	10.6158i	0.592900	+	0.557186i
$364$	−4.85588	+	18.1224i	−0.254517	+	0.949871i
$365$	36.3817	−	9.74845i	1.90430	−	0.510257i
$366$	−21.7932	−	20.4805i	−1.13915	−	1.07053i
$367$	−18.1431	−	10.4749i	−0.947063	−	0.546787i	−0.0548959	−	0.998492i	$-0.517483\pi$
$367$	−18.1431	−	10.4749i	−0.947063	−	0.546787i	−0.892167	+	0.451705i	$0.850816\pi$
$368$		−	9.26650i		−	0.483050i
$369$	6.70844	−	4.44987i	0.349227	−	0.231651i
$370$	−1.00053	−	3.73403i	−0.0520151	−	0.194123i
$371$	5.58793	+	20.8544i	0.290111	+	1.08271i
$372$	10.3166	+	34.2164i	0.534892	+	1.77404i
$373$	12.6332	+	12.6332i	0.654125	+	0.654125i	0.953984	−	0.299859i	$-0.0969396\pi$
$373$	12.6332	+	12.6332i	0.654125	+	0.654125i	−0.299859	+	0.953984i	$0.596940\pi$
$374$	−21.8814	−	12.6332i	−1.13146	−	0.653250i
$375$	−9.79324	+	0.304113i	−0.505721	+	0.0157043i
$376$	5.46410	−	1.46410i	0.281790	−	0.0755053i
$377$	1.05013	+	1.81887i	0.0540842	+	0.0936766i
$378$	8.50027	+	11.9894i	0.437206	+	0.616668i
$379$	−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	$0.380829\pi$
$380$	−1.09682	−	24.6332i	−0.0562657	−	1.26366i
$381$	8.20844	−	2.47494i	0.420531	−	0.126795i
$382$	3.59709	+	0.963836i	0.184043	+	0.0493142i
$383$		0			0		0.866025	−	0.500000i	$-0.166667\pi$
$383$		0			0		−0.866025	+	0.500000i	$0.833333\pi$
$384$	10.3200	+	16.6583i	0.526639	+	0.850089i
$385$	−12.6332	−	21.8814i	−0.643850	−	1.11518i
$386$	−7.05203	−	26.3185i	−0.358939	−	1.33958i
$387$	4.74144	−	23.4248i	0.241021	−	1.19075i
$388$			19.8997i			1.01026i
$389$	−1.11642	−	4.16655i	−0.0566049	−	0.211252i	0.931831	−	0.362893i	$-0.118211\pi$
$389$	−1.11642	−	4.16655i	−0.0566049	−	0.211252i	−0.988436	+	0.151641i	$0.951544\pi$
$390$	−17.1137	−	27.6246i	−0.866588	−	1.39883i
$391$	9.26650			0.468627
$392$	−6.00000	−	6.00000i	−0.303046	−	0.303046i
$393$	15.5649	−	9.64265i	0.785148	−	0.486407i
$394$	16.1369	−	9.31662i	0.812964	−	0.469365i
$395$	−18.1224	+	4.85588i	−0.911836	+	0.244326i
$396$	25.4058	−	8.52892i	1.27669	−	0.428594i
$397$	19.4884	+	5.22190i	0.978095	+	0.262080i	0.712242	−	0.701934i	$-0.247680\pi$
$397$	19.4884	+	5.22190i	0.978095	+	0.262080i	0.265853	+	0.964014i	$0.414347\pi$
$398$	−4.94987	+	4.94987i	−0.248115	+	0.248115i
$399$	15.0566	−	1.13954i	0.753773	−	0.0570486i
$400$			12.0000i			0.600000i
$401$	22.1990	−	12.8166i	1.10857	−	0.640032i	0.170109	−	0.985425i	$-0.445588\pi$
$401$	22.1990	−	12.8166i	1.10857	−	0.640032i	0.938458	+	0.345393i	$0.112255\pi$
$402$	−15.3604	+	16.3449i	−0.766106	+	0.815211i
$403$	46.7404	−	12.5241i	2.32831	−	0.623868i
$404$	7.32051	−	27.3205i	0.364209	−	1.35925i
$405$	−25.2151	−	3.49233i	−1.25295	−	0.173535i
$406$	1.26650			0.0628553
$407$		−	4.31662i		−	0.213967i
$408$	−16.6583	+	10.3200i	−0.824707	+	0.510915i
$409$	12.3552	+	7.13325i	0.610923	+	0.352716i	0.773327	−	0.634008i	$-0.218591\pi$
$409$	12.3552	+	7.13325i	0.610923	+	0.352716i	−0.162404	+	0.986724i	$0.551925\pi$
$410$			10.7335i			0.530090i
$411$	−1.65831	−	5.50000i	−0.0817985	−	0.271295i
$412$	2.91569	+	1.68338i	0.143646	+	0.0829339i
$413$	−0.847944	+	3.16457i	−0.0417246	+	0.155718i
$414$	−6.50527	+	7.36770i	−0.319716	+	0.362103i
$415$	14.4048	−	8.31662i	0.707105	−	0.408247i
$416$	22.9783	−	13.2665i	1.12660	−	0.650444i
$417$	−6.02506	−	3.23350i	−0.295049	−	0.158345i
$418$	5.93614	−	26.8860i	0.290346	−	1.31504i
$419$	−0.366750	+	0.366750i	−0.0179169	+	0.0179169i	−0.716008	−	0.698092i	$-0.754033\pi$
$419$	−0.366750	+	0.366750i	−0.0179169	+	0.0179169i	0.698092	+	0.716008i	$0.254033\pi$
$420$	−19.5865	+	0.608226i	−0.955722	+	0.0296784i
$421$	−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
$423$	−5.37228	−	2.67181i	−0.261209	−	0.129908i
$424$	15.2665	−	26.4424i	0.741407	−	1.28415i
$425$	−12.0000			−0.582086
$426$	−5.00000	+	9.31662i	−0.242251	+	0.451392i
$427$	6.31998	+	23.5865i	0.305845	+	1.14143i
$428$	10.2120	+	38.1118i	0.493616	+	1.84220i
$429$	−10.4749	−	34.7414i	−0.505735	−	1.67733i
$430$	22.5330	+	22.5330i	1.08664	+	1.08664i
$431$	1.84169	−	3.18990i	0.0887110	−	0.153652i	−0.818256	−	0.574855i	$-0.805059\pi$
$431$	1.84169	−	3.18990i	0.0887110	−	0.153652i	0.906967	+	0.421203i	$0.138392\pi$
$432$	3.48913	−	20.4897i	0.167871	−	0.985809i
$433$	5.94987	−	10.3055i	0.285933	−	0.495250i	−0.686902	−	0.726750i	$-0.741030\pi$
$433$	5.94987	−	10.3055i	0.285933	−	0.495250i	0.972835	+	0.231500i	$0.0743633\pi$
$434$	7.55229	−	28.1855i	0.362522	−	1.35295i
$435$	−1.50225	+	1.59854i	−0.0720272	+	0.0766439i
$436$	4.63325	+	4.63325i	0.221892	+	0.221892i
$437$	3.04482	+	9.62794i	0.145654	+	0.460567i
$438$	15.4248	−	28.7414i	0.737026	−	1.37332i
$439$	−9.15831	−	15.8627i	−0.437102	−	0.757084i	0.560362	−	0.828248i	$-0.310662\pi$
$439$	−9.15831	−	15.8627i	−0.437102	−	0.757084i	−0.997465	+	0.0711641i	$0.977329\pi$
$440$	−9.24818	+	34.5147i	−0.440890	+	1.64542i
$441$	0.558422	+	8.98266i	0.0265915	+	0.427746i
$442$	13.2665	+	22.9783i	0.631023	+	1.09296i
$443$	−9.27745	+	2.48588i	−0.440785	+	0.118108i	−0.472384	−	0.881393i	$-0.656607\pi$
$443$	−9.27745	+	2.48588i	−0.440785	+	0.118108i	0.0315995	+	0.999501i	$0.489940\pi$
$444$	−2.94987	−	1.58312i	−0.139995	−	0.0751317i
$445$	−26.5330	+	26.5330i	−1.25778	+	1.25778i
$446$	−34.0822	+	9.13229i	−1.61384	+	0.432426i
$447$	−2.74159	+	1.69844i	−0.129673	+	0.0803336i
$448$		−	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	$0.738825\pi$
$450$	8.42424	−	9.54108i	0.397122	−	0.449771i
$451$	−3.10204	+	11.5770i	−0.146069	+	0.545139i
$452$	−1.94987	+	3.37728i	−0.0917144	+	0.158854i
$453$	−28.7240	+	30.5652i	−1.34957	+	1.43608i
$454$	31.9995	−	18.4749i	1.50181	−	0.867072i
$455$			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	$-0.0223532\pi$
$458$	−12.3166	−	21.3330i	−0.575518	−	0.996827i
$459$	20.4897	+	3.48913i	0.956375	+	0.162858i
$460$	−3.39177	−	12.6583i	−0.158142	−	0.590195i
$461$	−1.94602	+	7.26264i	−0.0906352	+	0.338255i	−0.996322	−	0.0856932i	$-0.972690\pi$
$461$	−1.94602	+	7.26264i	−0.0906352	+	0.338255i	0.905686	+	0.423948i	$0.139356\pi$
$462$	−21.3014	−	5.00458i	−0.991032	−	0.232834i
$463$			32.3166i			1.50188i	0.660370	+	0.750940i	$0.270399\pi$
$463$			32.3166i			1.50188i	−0.660370	+	0.750940i	$0.729601\pi$
$464$	−1.26650	−	1.26650i	−0.0587957	−	0.0587957i
$465$	26.6168	+	42.9643i	1.23433	+	1.99242i
$466$	5.72217	+	21.3554i	0.265074	+	0.989271i
$467$	6.10819	−	6.10819i	0.282653	−	0.282653i	−0.551513	−	0.834166i	$-0.685949\pi$
$467$	6.10819	−	6.10819i	0.282653	−	0.282653i	0.834166	+	0.551513i	$0.185949\pi$
$468$	−27.5831	−	5.58312i	−1.27503	−	0.258080i
$469$	17.6899	−	4.73998i	0.816842	−	0.218872i
$470$	6.92820	−	4.00000i	0.319574	−	0.184506i
$471$	14.4716	−	8.96532i	0.666817	−	0.413100i
$472$	4.01251	−	2.31662i	0.184691	−	0.106631i
$473$	17.7916	+	30.8159i	0.818057	+	1.41692i
$474$	−7.68338	+	14.3166i	−0.352909	+	0.657584i
$475$	−3.94300	−	12.4681i	−0.180917	−	0.572074i
$476$	16.0000			0.733359
$477$	−30.7013	+	10.3067i	−1.40572	+	0.471910i
$478$	22.7214	+	6.08819i	1.03925	+	0.278467i
$479$	−3.31662	+	5.74456i	−0.151540	+	0.262476i	−0.931794	−	0.362988i	$-0.881757\pi$
$479$	−3.31662	+	5.74456i	−0.151540	+	0.262476i	0.780253	+	0.625463i	$0.215090\pi$
$480$	20.1947	+	18.9783i	0.921758	+	0.866235i
$481$	−2.26650	+	3.92569i	−0.103343	+	0.178996i
$482$	20.5831	−	20.5831i	0.937536	−	0.937536i
$483$	7.68338	−	2.31662i	0.349606	−	0.105410i
$484$	−8.94987	+	15.5016i	−0.406812	+	0.704620i
$485$	7.28381	+	27.1836i	0.330741	+	1.23434i
$486$	−17.1583	+	13.8417i	−0.778317	+	0.627872i
$487$	24.3166			1.10189			0.550946	−	0.834541i	$-0.314267\pi$
$487$	24.3166			1.10189			0.550946	+	0.834541i	$0.314267\pi$
$488$	17.2665	−	29.9065i	0.781618	−	1.35380i
$489$	16.6278	−	0.516350i	0.751937	−	0.0233502i
$490$	−10.3923	−	6.00000i	−0.469476	−	0.271052i
$491$	4.14217	−	15.4588i	0.186934	−	0.697646i	−0.807275	−	0.590176i	$-0.799058\pi$
$491$	4.14217	−	15.4588i	0.186934	−	0.697646i	0.994208	−	0.107470i	$-0.0342749\pi$
$492$	6.77375	+	6.36572i	0.305384	+	0.286989i
$493$	1.26650	−	1.26650i	0.0570403	−	0.0570403i
$494$	−19.5154	+	21.3342i	−0.878038	+	0.959873i
$495$	31.5831	−	20.9499i	1.41956	−	0.941627i
$496$	−35.7378	+	20.6332i	−1.60468	+	0.926460i
$497$	7.47661	−	4.31662i	0.335372	−	0.193627i
$498$	3.29458	−	14.0230i	0.147634	−	0.628386i
$499$	−4.58449	+	17.1096i	−0.205230	+	0.765929i	0.784149	+	0.620572i	$0.213100\pi$
$499$	−4.58449	+	17.1096i	−0.205230	+	0.765929i	−0.989379	+	0.145357i	$0.953567\pi$
$500$	−2.92820	−	10.9282i	−0.130953	−	0.488724i
$501$	−11.0000	+	3.31662i	−0.491444	+	0.148176i
$502$	−20.3166			−0.906775
$503$	−23.2525	−	13.4248i	−1.03678	−	0.598583i	−0.117857	−	0.993031i	$-0.537603\pi$
$503$	−23.2525	−	13.4248i	−1.03678	−	0.598583i	−0.918918	+	0.394448i	$0.870936\pi$
$504$	−11.2323	+	12.7214i	−0.500327	+	0.566658i
$505$		−	40.0000i		−	1.77998i
$506$		−	14.6332i		−	0.650527i
$507$	−3.56529	+	15.1753i	−0.158340	+	0.673957i
$508$	4.94987	+	8.57343i	0.219615	+	0.380385i
$509$	24.4515	−	6.55176i	1.08379	−	0.290402i	0.327645	−	0.944801i	$-0.393745\pi$
$509$	24.4515	−	6.55176i	1.08379	−	0.290402i	0.756149	+	0.654399i	$0.227078\pi$
$510$	−18.9783	+	20.1947i	−0.840371	+	0.894236i
$511$	−23.0651	+	13.3166i	−1.02034	+	0.589093i
$512$	−16.0000	+	16.0000i	−0.707107	+	0.707107i
$513$	3.10735	+	22.4353i	0.137193	+	0.990544i
$514$	10.0501	+	10.0501i	0.443292	+	0.443292i
$515$	4.59907	+	1.23232i	0.202659	+	0.0543023i
$516$	27.5839	−	0.856572i	1.21431	−	0.0377085i
$517$	8.62867	−	2.31205i	0.379488	−	0.101684i
$518$	1.36675	+	2.36728i	0.0600516	+	0.104012i
$519$	17.9953	+	29.0476i	0.789906	+	1.27505i
$520$	26.5330	−	26.5330i	1.16355	−	1.16355i
$521$	8.68338			0.380426			0.190213	−	0.981743i	$-0.439082\pi$
$521$	8.68338			0.380426			0.190213	+	0.981743i	$0.439082\pi$
$522$	0.117873	+	1.89609i	0.00515918	+	0.0829895i
$523$	−0.0975455	−	0.364045i	−0.00426537	−	0.0159186i	0.963760	−	0.266770i	$-0.0859563\pi$
$523$	−0.0975455	−	0.364045i	−0.00426537	−	0.0159186i	−0.968026	+	0.250851i	$0.919290\pi$
$524$	14.9499	+	14.9499i	0.653088	+	0.653088i
$525$	−9.94987	+	3.00000i	−0.434248	+	0.130931i
$526$	−15.5273	+	4.16052i	−0.677021	+	0.181407i
$527$	−20.6332	−	35.7378i	−0.898798	−	1.55676i
$528$	16.2969	+	26.3060i	0.709230	+	1.14482i
$529$	−8.81662	−	15.2708i	−0.383332	−	0.663950i
$530$	11.1759	−	41.7089i	0.485448	−	1.81172i
$531$	−4.81662	−	0.974937i	−0.209024	−	0.0423087i
$532$	5.25734	+	16.6241i	0.227935	+	0.720746i
$533$	8.89975	−	8.89975i	0.385491	−	0.385491i
$534$	1.00863	+	32.4805i	0.0436476	+	1.40557i
$535$	27.8997	+	48.3238i	1.20621	+	2.08922i
$536$	−22.4298	−	12.9499i	−0.968822	−	0.559349i
$537$	0.920564	+	29.6446i	0.0397253	+	1.27926i
$538$	12.3166	−	21.3330i	0.531007	−	0.919732i
$539$	−9.47494	−	9.47494i	−0.408114	−	0.408114i
$540$	−2.73350	−	29.2665i	−0.117631	−	1.25943i
$541$	−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	$0.975055\pi$
$542$	12.7952	−	3.42847i	0.549602	−	0.147265i
$543$	−6.15831	+	11.4749i	−0.264278	+	0.492437i
$544$	−16.0000	−	16.0000i	−0.685994	−	0.685994i
$545$	8.02502	+	4.63325i	0.343754	+	0.198467i
$546$	16.7446	+	15.7359i	0.716601	+	0.673436i
$547$	−34.8787	+	9.34573i	−1.49131	+	0.399594i	−0.910178	−	0.414217i	$-0.864055\pi$
$547$	−34.8787	+	9.34573i	−1.49131	+	0.399594i	−0.581129	+	0.813812i	$0.697389\pi$
$548$	5.74456	−	3.31662i	0.245396	−	0.141679i
$549$	−34.7233	+	11.6569i	−1.48196	+	0.497504i
$550$			18.9499i			0.808025i
$551$	1.73205	+	0.899749i	0.0737878	+	0.0383306i
$552$	−10.0000	−	5.36675i	−0.425628	−	0.228424i
$553$	11.4891	−	6.63325i	0.488567	−	0.282074i
$554$	15.5831	+	26.9908i	0.662063	+	1.14673i
$555$	−4.60907	−	1.08286i	−0.195644	−	0.0459648i
$556$	2.04357	−	7.62669i	0.0866665	−	0.323444i
$557$	−33.6496	+	9.01640i	−1.42578	+	0.382037i	−0.887531	−	0.460748i	$-0.847581\pi$
$557$	−33.6496	+	9.01640i	−1.42578	+	0.382037i	−0.538250	+	0.842785i	$0.680914\pi$
$558$	42.8997	+	8.68338i	1.81609	+	0.367597i
$559$		−	37.3668i		−	1.58045i
$560$	−5.85641	−	21.8564i	−0.247478	−	0.923602i
$561$	−26.3060	+	16.2969i	−1.11064	+	0.688054i
$562$	27.6332	−	27.6332i	1.16564	−	1.16564i
$563$	18.4749	−	18.4749i	0.778626	−	0.778626i	−0.200971	−	0.979597i	$-0.564410\pi$
$563$	18.4749	−	18.4749i	0.778626	−	0.778626i	0.979597	+	0.200971i	$0.0644098\pi$
$564$	1.58457	−	6.74456i	0.0667226	−	0.283997i
$565$	−1.42741	+	5.32716i	−0.0600515	+	0.224115i
$566$	27.3518	+	15.7916i	1.14968	+	0.663769i
$567$	17.8614	−	2.22938i	0.750109	−	0.0936253i
$568$	−11.7932	−	3.15999i	−0.494833	−	0.132590i
$569$	20.5330			0.860788			0.430394	−	0.902641i	$-0.358375\pi$
$569$	20.5330			0.860788			0.430394	+	0.902641i	$0.358375\pi$
$570$	−27.2184	−	13.0829i	−1.14005	−	0.547981i
$571$	−4.84169	+	4.84169i	−0.202618	+	0.202618i	−0.801121	−	0.598503i	$-0.795763\pi$
$571$	−4.84169	+	4.84169i	−0.202618	+	0.202618i	0.598503	+	0.801121i	$0.295763\pi$
$572$	36.2862	−	20.9499i	1.51720	−	0.875958i
$573$	3.12340	−	3.32361i	0.130482	−	0.138846i
$574$	−1.96437	−	7.33112i	−0.0819911	−	0.305995i
$575$	−3.47494	−	6.01877i	−0.144915	−	0.251000i
$576$	23.9538	−	1.48913i	0.998073	−	0.0620469i
$577$	−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
$579$	−32.4860	−	7.63230i	−1.35007	−	0.317187i
$580$	−2.19364	−	1.26650i	−0.0910860	−	0.0525885i
$581$	−8.31662	+	8.31662i	−0.345032	+	0.345032i
$582$	21.4749	+	11.5251i	0.890165	+	0.477729i
$583$	24.1082	−	41.7566i	0.998459	−	1.72938i
$584$	36.3817	+	9.74845i	1.50549	+	0.403394i
$585$	−39.7228	+	2.46943i	−1.64234	+	0.102099i
$586$	−10.9407	+	6.31662i	−0.451957	+	0.260937i
$587$	3.02575	−	11.2922i	0.124886	−	0.466081i	−0.874950	−	0.484214i	$-0.839106\pi$
$587$	3.02575	−	11.2922i	0.124886	−	0.466081i	0.999836	+	0.0181331i	$0.00577226\pi$
$588$	−9.94987	+	3.00000i	−0.410326	+	0.123718i
$589$	30.3521	−	33.1809i	1.25063	−	1.36720i
$590$	4.63325	−	4.63325i	0.190748	−	0.190748i
$591$	−0.708327	−	22.8100i	−0.0291367	−	0.938277i
$592$	1.00053	−	3.73403i	0.0411216	−	0.153468i
$593$	−18.4607	−	10.6583i	−0.758092	−	0.437684i	0.0705185	−	0.997510i	$-0.477535\pi$
$593$	−18.4607	−	10.6583i	−0.758092	−	0.437684i	−0.828610	+	0.559826i	$0.810868\pi$
$594$	5.50987	−	32.3564i	0.226073	−	1.32760i
$595$	21.8564	−	5.85641i	0.896025	−	0.240089i
$596$	−2.63325	−	2.63325i	−0.107862	−	0.107862i
$597$	2.47494	+	8.20844i	0.101292	+	0.335949i
$598$	−7.68338	+	13.3080i	−0.314197	+	0.544204i
$599$	−21.0588	−	12.1583i	−0.860440	−	0.496775i	0.00371971	−	0.999993i	$-0.498816\pi$
$599$	−21.0588	−	12.1583i	−0.860440	−	0.496775i	−0.864160	+	0.503218i	$0.832149\pi$
$600$	12.9499	+	6.94987i	0.528676	+	0.283727i
$601$			22.0501i			0.899443i	0.893169	+	0.449722i	$0.148477\pi$
$601$			22.0501i			0.899443i	−0.893169	+	0.449722i	$0.851523\pi$
$602$	−19.5141	−	11.2665i	−0.795337	−	0.459188i
$603$	8.74268	+	26.0425i	0.356029	+	1.06053i
$604$	−41.9440	−	24.2164i	−1.70668	−	0.985350i
$605$	−6.55176	+	24.4515i	−0.266367	+	0.994095i
$606$	−25.2434	−	23.7228i	−1.02544	−	0.963673i
$607$		−	17.3668i		−	0.704895i	−0.935832	−	0.352447i	$-0.885350\pi$
$607$		−	17.3668i		−	0.704895i	0.935832	−	0.352447i	$-0.114650\pi$
$608$	11.3668	−	21.8814i	0.460983	−	0.887409i
$609$	0.733501	−	1.36675i	0.0297230	−	0.0553835i
$610$	12.6400	−	47.1730i	0.511777	−	1.90998i
$611$	−9.06119	−	2.42794i	−0.366576	−	0.0982239i
$612$	1.48913	+	23.9538i	0.0601943	+	0.968273i
$613$	9.26653	−	34.5832i	0.374272	−	1.39680i	−0.480135	−	0.877195i	$-0.659412\pi$
$613$	9.26653	−	34.5832i	0.374272	−	1.39680i	0.854406	−	0.519606i	$-0.173921\pi$
$614$	10.7916	−	18.6915i	0.435512	−	0.754329i
$615$	11.5831	+	6.21637i	0.467077	+	0.250668i
$616$		−	25.2665i		−	1.01802i
$617$	−12.4499	+	21.5638i	−0.501213	+	0.868127i	0.498786	+	0.866725i	$0.333779\pi$
$617$	−12.4499	+	21.5638i	−0.501213	+	0.868127i	−0.999999	+	0.00140130i	$0.999554\pi$
$618$	3.50527	−	2.17155i	0.141002	−	0.0873525i
$619$	32.2665	−	32.2665i	1.29690	−	1.29690i	0.366470	−	0.930430i	$-0.380566\pi$
$619$	32.2665	−	32.2665i	1.29690	−	1.29690i	0.930430	−	0.366470i	$-0.119434\pi$
$620$	−41.2665	+	41.2665i	−1.65730	+	1.65730i
$621$	4.18334	+	11.2872i	0.167871	+	0.452942i
$622$	7.89997	−	29.4831i	0.316760	−	1.18216i
$623$	13.2665	−	22.9783i	0.531511	−	0.920604i
$624$	−1.00863	−	32.4805i	−0.0403775	−	1.30026i
$625$	−15.5000	−	26.8468i	−0.620000	−	1.07387i
$626$	10.3668	+	10.3668i	0.414339	+	0.414339i
$627$	−25.5763	−	21.9772i	−1.02142	−	0.877685i
$628$	13.8997	+	13.8997i	0.554660	+	0.554660i
$629$	3.73403	+	1.00053i	0.148886	+	0.0398938i
$630$	−10.6873	+	21.4891i	−0.425791	+	0.856147i
$631$	11.3166	−	19.6010i	0.450508	−	0.780302i	−0.547910	−	0.836537i	$-0.684576\pi$
$631$	11.3166	−	19.6010i	0.450508	−	0.780302i	0.998418	+	0.0562351i	$0.0179096\pi$
$632$	−18.1224	−	4.85588i	−0.720869	−	0.193156i
$633$	3.86999	+	6.24685i	0.153818	+	0.248290i
$634$	31.2665			1.24175
$635$	9.89975	+	9.89975i	0.392860	+	0.392860i
$636$	−19.6937	−	31.7892i	−0.780908	−	1.26052i
$637$	3.64191	+	13.5918i	0.144298	+	0.538526i
$638$	−2.00000	−	2.00000i	−0.0791808	−	0.0791808i
$639$	7.15831	+	10.7916i	0.283178	+	0.426908i
$640$	−16.0000	+	27.7128i	−0.632456	+	1.09545i
$641$	−30.8593	+	17.8166i	−1.21887	+	0.703714i	−0.964676	−	0.263439i	$-0.915143\pi$
$641$	−30.8593	+	17.8166i	−1.21887	+	0.703714i	−0.254193	+	0.967154i	$0.581810\pi$
$642$	47.0429	+	11.0523i	1.85664	+	0.436200i
$643$	12.1184	−	45.2266i	0.477905	−	1.78356i	−0.132178	−	0.991226i	$-0.542197\pi$
$643$	12.1184	−	45.2266i	0.477905	−	1.78356i	0.610082	−	0.792338i	$-0.291136\pi$
$644$	4.63325	+	8.02502i	0.182576	+	0.316230i
$645$	37.3668	−	11.2665i	1.47131	−	0.443618i
$646$	21.8814	+	11.3668i	0.860913	+	0.447219i
$647$			21.6834i			0.852461i	0.904614	+	0.426231i	$0.140159\pi$
$647$			21.6834i			0.852461i	−0.904614	+	0.426231i	$0.859841\pi$
$648$	−20.0908	−	15.6320i	−0.789241	−	0.614084i
$649$	6.33638	−	3.65831i	0.248725	−	0.143601i
$650$	9.94987	−	17.2337i	0.390266	−	0.675961i
$651$	−26.0426	−	24.4739i	−1.02069	−	0.959209i
$652$	4.97177	+	18.5549i	0.194709	+	0.726666i
$653$	15.3668	+	15.3668i	0.601347	+	0.601347i	0.940670	−	0.339323i	$-0.110198\pi$
$653$	15.3668	+	15.3668i	0.601347	+	0.601347i	−0.339323	+	0.940670i	$0.610198\pi$
$654$	7.68338	−	2.31662i	0.300444	−	0.0905872i
$655$	25.8939	+	14.9499i	1.01176	+	0.584140i
$656$	−5.36675	+	9.29548i	−0.209536	+	0.362928i
$657$	−22.0831	−	33.2916i	−0.861545	−	1.29883i
$658$	−4.00000	+	4.00000i	−0.155936	+	0.155936i
$659$	10.8098	+	40.3428i	0.421091	+	1.57153i	0.772314	+	0.635241i	$0.219099\pi$
$659$	10.8098	+	40.3428i	0.421091	+	1.57153i	−0.351223	+	0.936292i	$0.614234\pi$
$660$	31.8906	+	29.9696i	1.24134	+	1.16657i
$661$	12.6583	−	3.39177i	0.492350	−	0.131925i	−0.00409750	−	0.999992i	$-0.501304\pi$
$661$	12.6583	−	3.39177i	0.492350	−	0.131925i	0.496447	+	0.868067i	$0.334638\pi$
$662$	−3.82513	+	2.20844i	−0.148668	+	0.0858334i
$663$	32.4805	−	1.00863i	1.26144	−	0.0391719i
$664$	16.6332			0.645495
$665$	13.2665	+	20.7846i	0.514453	+	0.805993i
$666$	−3.41688	+	2.26650i	−0.132401	+	0.0878251i
$667$	1.00198	+	0.268480i	0.0387969	+	0.0103956i
$668$	−6.63325	−	11.4891i	−0.256648	−	0.444528i
$669$	−9.88373	+	42.0690i	−0.382127	+	1.62648i
$670$	−35.3797	−	9.47997i	−1.36684	−	0.366243i
$671$	27.2665	−	47.2270i	1.05261	−	1.82318i
$672$	−17.2665	−	9.26650i	−0.666070	−	0.357463i
$673$	−41.2665			−1.59071			−0.795353	−	0.606146i	$-0.792715\pi$
$673$	−41.2665			−1.59071			−0.795353	+	0.606146i	$0.792715\pi$
$674$	6.22243	+	23.2224i	0.239679	+	0.894495i
$675$	−5.41737	−	14.6168i	−0.208515	−	0.562603i
$676$	−18.0000			−0.692308
$677$	12.0501	−	12.0501i	0.463124	−	0.463124i	−0.436554	−	0.899678i	$-0.643801\pi$
$677$	12.0501	−	12.0501i	0.463124	−	0.463124i	0.899678	+	0.436554i	$0.143801\pi$
$678$	2.51533	+	4.06019i	0.0966008	+	0.155931i
$679$	−9.94987	−	17.2337i	−0.381841	−	0.661368i
$680$	−27.7128	−	16.0000i	−1.06274	−	0.613572i
$681$	−1.40462	−	45.2324i	−0.0538250	−	1.73331i
$682$	−56.4356	+	32.5831i	−2.16103	+	1.24767i
$683$	18.2665	+	18.2665i	0.698948	+	0.698948i	0.964184	−	0.265235i	$-0.0854497\pi$
$683$	18.2665	+	18.2665i	0.698948	+	0.698948i	−0.265235	+	0.964184i	$0.585450\pi$
$684$	−24.3988	+	9.41802i	−0.932911	+	0.360107i
$685$	6.63325	−	6.63325i	0.253443	−	0.253443i
$686$	27.3205	+	7.32051i	1.04310	+	0.279498i
$687$	−30.1549	+	0.936411i	−1.15048	+	0.0357263i
$688$	8.24765	+	30.7806i	0.314439	+	1.17350i
$689$	−43.8497	+	25.3166i	−1.67054	+	0.964487i
$690$	−15.6246	−	3.67086i	−0.594819	−	0.139747i
$691$	34.8997	+	34.8997i	1.32765	+	1.32765i	0.907416	+	0.420233i	$0.138052\pi$
$691$	34.8997	+	34.8997i	1.32765	+	1.32765i	0.420233	+	0.907416i	$0.361948\pi$
$692$	−27.8997	+	27.8997i	−1.06059	+	1.06059i
$693$	−17.7376	+	20.0891i	−0.673795	+	0.763123i
$694$	12.8417	−	22.2425i	0.487464	−	0.844312i
$695$		−	11.1662i		−	0.423560i
$696$	−2.10025	+	0.633250i	−0.0796098	+	0.0240033i
$697$	−9.29548	−	5.36675i	−0.352092	−	0.203280i
$698$	−27.7128	+	16.0000i	−1.04895	+	0.605609i
$699$	26.3599	+	6.19301i	0.997021	+	0.234241i
$700$	−6.00000	−	10.3923i	−0.226779	−	0.392792i
$701$	5.00846	−	18.6918i	0.189167	−	0.705981i	−0.804533	−	0.593908i	$-0.797584\pi$
$701$	5.00846	−	18.6918i	0.189167	−	0.705981i	0.993700	−	0.112073i	$-0.0357490\pi$
$702$	−22.0000	+	26.5330i	−0.830336	+	1.00142i
$703$	0.187385	+	4.20844i	0.00706736	+	0.158724i
$704$	−25.2665	+	25.2665i	−0.952267	+	0.952267i
$705$	−0.304113	−	9.79324i	−0.0114536	−	0.368835i
$706$	4.60574	−	17.1889i	0.173339	−	0.646912i
$707$	7.32051	+	27.3205i	0.275316	+	1.02749i
$708$	−0.176129	−	5.67181i	−0.00661933	−	0.213160i
$709$	−32.7161	+	8.76626i	−1.22868	+	0.329224i	−0.814065	−	0.580773i	$-0.802750\pi$
$709$	−32.7161	+	8.76626i	−1.22868	+	0.329224i	−0.414615	+	0.909997i	$0.636084\pi$
$710$	−17.2665			−0.648000
$711$	11.0000	+	16.5831i	0.412532	+	0.621916i
$712$	−36.2447	+	9.71175i	−1.35833	+	0.363963i
$713$	11.9499	−	20.6978i	0.447526	−	0.775138i
$714$	9.26650	−	17.2665i	0.346790	−	0.646182i
$715$	41.8997	−	41.8997i	1.56696	−	1.56696i
$716$	−33.0802	+	8.86381i	−1.23626	+	0.331256i
$717$	19.7294	−	20.9940i	0.736807	−	0.784034i
$718$	42.1414	−	11.2917i	1.57270	−	0.421404i
$719$	3.79156	+	6.56718i	0.141401	+	0.244914i	0.928025	−	0.372519i	$-0.121506\pi$
$719$	3.79156	+	6.56718i	0.141401	+	0.244914i	−0.786623	+	0.617433i	$0.788173\pi$
$720$	32.1764	−	10.8019i	1.19914	−	0.402562i
$721$	−3.36675			−0.125384
$722$	−4.62024	+	26.4699i	−0.171947	+	0.985106i
$723$	−10.2916	−	34.1332i	−0.382747	−	1.26943i
$724$	−14.5253	−	3.89204i	−0.539828	−	0.144647i
$725$	−1.29755	−	0.347678i	−0.0481899	−	0.0129124i
$726$	11.5453	+	18.6362i	0.428487	+	0.691654i
$727$	10.2665	+	17.7821i	0.380763	+	0.659502i	0.991172	−	0.132585i	$-0.0423279\pi$
$727$	10.2665	+	17.7821i	0.380763	+	0.659502i	−0.610408	+	0.792087i	$0.708995\pi$
$728$	−13.2665	+	22.9783i	−0.491689	+	0.851631i
$729$	5.00000	+	26.5330i	0.185185	+	0.982704i
$730$	53.2665			1.97148
$731$	−30.7806	+	8.24765i	−1.13846	+	0.305050i
$732$	−22.2737	−	35.9538i	−0.823261	−	1.32889i
$733$	−0.0501256	+	0.0501256i	−0.00185143	+	0.00185143i	−0.708032	−	0.706180i	$-0.750417\pi$
$733$	−0.0501256	+	0.0501256i	−0.00185143	+	0.00185143i	0.706180	+	0.708032i	$0.250417\pi$
$734$	−20.9499	−	20.9499i	−0.773274	−	0.773274i
$735$	−12.4937	+	7.73998i	−0.460837	+	0.285494i
$736$	3.39177	−	12.6583i	0.125022	−	0.466590i
$737$	−35.4202	−	20.4499i	−1.30472	−	0.753281i
$738$	10.7927	−	3.62318i	0.397283	−	0.133371i
$739$	−11.8683	+	44.2931i	−0.436583	+	1.62935i	0.300668	+	0.953729i	$0.402790\pi$
$739$	−11.8683	+	44.2931i	−0.436583	+	1.62935i	−0.737250	+	0.675620i	$0.763876\pi$
$740$		−	5.46700i		−	0.200971i
$741$	11.7205	+	33.4160i	0.430565	+	1.22757i
$742$			30.5330i			1.12090i
$743$	−3.73831	+	2.15831i	−0.137145	+	0.0791808i	−0.567003	−	0.823716i	$-0.691897\pi$
$743$	−3.73831	+	2.15831i	−0.137145	+	0.0791808i	0.429858	+	0.902897i	$0.358564\pi$
$744$	1.56871	+	50.5166i	0.0575117	+	1.85203i
$745$	−4.56092	−	2.63325i	−0.167099	−	0.0964748i
$746$	12.6332	+	21.8814i	0.462536	+	0.801136i
$747$	−13.2249	−	11.6769i	−0.483875	−	0.427234i
$748$	−25.2665	−	25.2665i	−0.923835	−	0.923835i
$749$	−27.8997	−	27.8997i	−1.01943	−	1.01943i
$750$	−13.4891	−	3.16915i	−0.492553	−	0.115721i
$751$	29.1707	+	16.8417i	1.06445	+	0.614562i	0.926661	−	0.375899i	$-0.122666\pi$
$751$	29.1707	+	16.8417i	1.06445	+	0.614562i	0.137792	+	0.990461i	$0.455999\pi$
$752$	8.00000			0.291730
$753$	−11.7665	+	21.9248i	−0.428795	+	0.798985i
$754$	0.768745	+	2.86900i	0.0279961	+	0.104483i
$755$	−66.1604	−	17.7276i	−2.40782	−	0.645174i
$756$	7.22316	+	19.4891i	0.262704	+	0.708813i
$757$	6.10654	−	22.7899i	0.221946	−	0.828314i	−0.761659	−	0.647978i	$-0.775615\pi$
$757$	6.10654	−	22.7899i	0.221946	−	0.828314i	0.983605	−	0.180336i	$-0.0577184\pi$
$758$	−19.0526	+	11.0000i	−0.692020	+	0.399538i
$759$	−15.7916	−	8.47494i	−0.573197	−	0.307621i
$760$	7.51811	−	34.0511i	0.272711	−	1.23516i
$761$	22.5831			0.818638			0.409319	−	0.912391i	$-0.365766\pi$
$761$	22.5831			0.818638			0.409319	+	0.912391i	$0.365766\pi$
$762$	12.1188	−	0.376330i	0.439019	−	0.0136330i
$763$	−6.32914	−	1.69589i	−0.229130	−	0.0613952i
$764$	4.56092	+	2.63325i	0.165008	+	0.0952676i
$765$	10.8019	+	32.1764i	0.390542	+	1.16334i
$766$		0			0
$767$	−7.68338			−0.277431
$768$	8.00000	+	26.5330i	0.288675	+	0.957427i
$769$	−1.31662	+	2.28046i	−0.0474787	+	0.0822355i	−0.888788	−	0.458318i	$-0.848452\pi$
$769$	−1.31662	+	2.28046i	−0.0474787	+	0.0822355i	0.841309	+	0.540554i	$0.181785\pi$
$770$	−9.24818	−	34.5147i	−0.333281	−	1.24382i
$771$	16.6662	−	5.02506i	0.600220	−	0.180973i
$772$		−	38.5330i		−	1.38683i
$773$	6.35667	+	23.7234i	0.228634	+	0.853272i	0.980916	+	0.194432i	$0.0622862\pi$
$773$	6.35667	+	23.7234i	0.228634	+	0.853272i	−0.752283	+	0.658841i	$0.771047\pi$
$774$	15.0510	−	30.2634i	0.540997	−	1.08780i
$775$	−15.4749	+	26.8034i	−0.555876	+	0.962806i
$776$	−7.28381	+	27.1836i	−0.261474	+	0.975833i
$777$	3.34623	−	0.103912i	0.120045	−	0.00372781i
$778$		−	6.10025i		−	0.218705i
$779$	2.52174	−	11.4215i	0.0903507	−	0.409217i
$780$	−13.2665	−	44.0000i	−0.475017	−	1.57545i
$781$	−18.6234	−	4.99012i	−0.666396	−	0.178560i
$782$	12.6583	+	3.39177i	0.452659	+	0.121290i
$783$	2.11444	+	0.970927i	0.0755640	+	0.0346981i
$784$	−6.00000	−	10.3923i	−0.214286	−	0.371154i
$785$	24.0751	+	13.8997i	0.859276	+	0.496103i
$786$	24.7916	−	7.47494i	0.884286	−	0.266622i
$787$	−20.4749	−	20.4749i	−0.729853	−	0.729853i	0.240738	−	0.970590i	$-0.422611\pi$
$787$	−20.4749	−	20.4749i	−0.729853	−	0.729853i	−0.970590	+	0.240738i	$0.922611\pi$
$788$	25.4535	−	6.82024i	0.906743	−	0.242961i
$789$	−4.50286	+	19.1659i	−0.160306	+	0.682326i
$790$	−26.5330			−0.944002
$791$		−	3.89975i		−	0.138659i
$792$	37.8267	−	2.35156i	1.34411	−	0.0835591i
$793$	−49.5942	+	28.6332i	−1.76114	+	1.01680i
$794$	24.7103	+	14.2665i	0.876936	+	0.506299i
$795$	−38.5378	−	36.2164i	−1.36679	−	1.28446i
$796$	−8.57343	+	4.94987i	−0.303877	+	0.175444i
$797$	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	$0.693901\pi$
$798$	20.9848	+	3.95445i	0.742854	+	0.139986i
$799$			8.00000i			0.283020i
$800$	−4.39230	+	16.3923i	−0.155291	+	0.579555i
$801$	35.6357	+	17.7228i	1.25912	+	0.626205i
$802$	35.0157	−	9.38242i	1.23645	−	0.331305i
$803$	57.4524	+	15.3943i	2.02745	+	0.543254i
$804$	−26.9653	+	16.7053i	−0.950993	+	0.589151i
$805$	9.26650	+	9.26650i	0.326601	+	0.326601i
$806$	68.4327			2.41044
$807$	−15.8884	−	25.6467i	−0.559299	−	0.902807i
$808$	20.0000	−	34.6410i	0.703598	−	1.21867i
$809$	−14.5831			−0.512715			−0.256358	−	0.966582i	$-0.582522\pi$
$809$	−14.5831			−0.512715			−0.256358	+	0.966582i	$0.582522\pi$
$810$	−33.1662	−	14.0000i	−1.16534	−	0.491910i
$811$	8.03421	+	29.9841i	0.282119	+	1.05288i	0.950919	+	0.309441i	$0.100142\pi$
$811$	8.03421	+	29.9841i	0.282119	+	1.05288i	−0.668799	+	0.743443i	$0.733191\pi$
$812$	1.73007	+	0.463571i	0.0607136	+	0.0162681i
$813$	3.71058	−	15.7937i	0.130136	−	0.553908i
$814$	1.57999	−	5.89662i	0.0553788	−	0.206676i
$815$	13.5831	+	23.5267i	0.475796	+	0.824103i
$816$	−26.5330	+	8.00000i	−0.928841	+	0.280056i
$817$	−18.6834	−	29.2712i	−0.653649	−	1.02407i
$818$	14.2665	+	14.2665i	0.498816	+	0.498816i
$819$	26.6792	−	8.95643i	0.932248	−	0.312963i
$820$	−3.92873	+	14.6622i	−0.137197	+	0.512027i
$821$	9.84599	+	36.7457i	0.343627	+	1.28244i	0.894207	+	0.447653i	$0.147740\pi$
$821$	9.84599	+	36.7457i	0.343627	+	1.28244i	−0.550580	+	0.834782i	$0.685593\pi$
$822$	−0.252157	−	8.12012i	−0.00879499	−	0.283222i
$823$	8.15831	−	14.1306i	0.284381	−	0.492562i	−0.688078	−	0.725637i	$-0.741545\pi$
$823$	8.15831	−	14.1306i	0.284381	−	0.492562i	0.972459	+	0.233075i	$0.0748786\pi$
$824$	3.36675	+	3.36675i	0.117286	+	0.117286i
$825$	20.4499	+	10.9749i	0.711973	+	0.382098i
$826$	−2.31662	+	4.01251i	−0.0806057	+	0.139613i
$827$	−7.97989	+	2.13821i	−0.277488	+	0.0743527i	−0.394879	−	0.918733i	$-0.629214\pi$
$827$	−7.97989	+	2.13821i	−0.277488	+	0.0743527i	0.117391	+	0.993086i	$0.462547\pi$
$828$	−11.5831	+	7.68338i	−0.402541	+	0.267016i
$829$	−30.2164	+	30.2164i	−1.04946	+	1.04946i	−0.0507465	+	0.998712i	$0.516160\pi$
$829$	−30.2164	+	30.2164i	−1.04946	+	1.04946i	−0.998712	+	0.0507465i	$0.983840\pi$
$830$	22.7214	−	6.08819i	0.788673	−	0.211324i
$831$	38.1523	−	1.18476i	1.32349	−	0.0410988i
$832$	36.2447	−	9.71175i	1.25656	−	0.336694i
$833$	10.3923	−	6.00000i	0.360072	−	0.207888i
$834$	−7.04685	−	6.62237i	−0.244012	−	0.229314i
$835$	−13.2665	−	13.2665i	−0.459106	−	0.459106i
$836$	17.9499	−	34.5542i	0.620809	−	1.19508i
$837$	34.2164	−	41.2665i	1.18269	−	1.42638i
$838$	−0.635230	+	0.366750i	−0.0219437	+	0.0126692i
$839$	−16.1369	+	9.31662i	−0.557107	+	0.321646i	−0.751983	−	0.659182i	$-0.770903\pi$
$839$	−16.1369	+	9.31662i	−0.557107	+	0.321646i	0.194877	+	0.980828i	$0.437569\pi$
$840$	−26.9783	−	6.33830i	−0.930838	−	0.218692i
$841$	−24.9411	+	14.3997i	−0.860038	+	0.496543i
$842$	−1.00000	+	1.73205i	−0.0344623	+	0.0596904i
$843$	−13.8166	−	45.8246i	−0.475870	−	1.57828i
$844$	−6.00000	+	6.00000i	−0.206529	+	0.206529i
$845$	−24.5885	+	6.58846i	−0.845869	+	0.226650i
$846$	−6.36072	−	5.61616i	−0.218686	−	0.193087i
$847$		−	17.8997i		−	0.615043i
$848$	30.5330	−	30.5330i	1.04851	−	1.04851i
$849$	32.8825	−	20.3711i	1.12853	−	0.699133i
$850$	−16.3923	−	4.39230i	−0.562251	−	0.150655i
$851$	0.579464	+	2.16259i	0.0198638	+	0.0741325i
$852$	−10.2402	+	10.8966i	−0.350825	+	0.373312i
$853$	2.90986	−	10.8597i	0.0996316	−	0.371830i	−0.898049	−	0.439895i	$-0.855016\pi$
$853$	2.90986	−	10.8597i	0.0996316	−	0.371830i	0.997681	+	0.0680647i	$0.0216824\pi$
$854$			34.5330i			1.18169i
$855$	−29.8821	+	21.7958i	−1.02195	+	0.745402i
$856$			55.7995i			1.90719i
$857$	−21.6082	−	37.4265i	−0.738122	−	1.27846i	−0.953340	−	0.301898i	$-0.902380\pi$
$857$	−21.6082	−	37.4265i	−0.738122	−	1.27846i	0.215219	−	0.976566i	$-0.430954\pi$
$858$	−1.59278	−	51.2918i	−0.0543767	−	1.75107i
$859$	−3.12039	−	11.6455i	−0.106466	−	0.397338i	0.892041	−	0.451954i	$-0.149273\pi$
$859$	−3.12039	−	11.6455i	−0.106466	−	0.397338i	−0.998507	+	0.0546166i	$0.982606\pi$
$860$	22.5330	+	39.0283i	0.768369	+	1.33085i
$861$	−9.04910	−	2.12600i	−0.308392	−	0.0724540i
$862$	3.68338	−	3.68338i	0.125456	−	0.125456i
$863$	10.2164			0.347769			0.173885	−	0.984766i	$-0.444368\pi$
$863$	10.2164			0.347769			0.173885	+	0.984766i	$0.444368\pi$
$864$	12.2660	−	26.7123i	0.417297	−	0.908770i
$865$	−27.8997	+	48.3238i	−0.948620	+	1.64306i
$866$	11.8997	−	11.8997i	0.404370	−	0.404370i
$867$	0.500000	+	1.65831i	0.0169809	+	0.0563192i
$868$	20.6332	−	35.7378i	0.700338	−	1.21302i
$869$	−28.6181	−	7.66819i	−0.970801	−	0.260125i
$870$	−2.63721	+	1.63378i	−0.0894098	+	0.0553903i
$871$	21.4749	+	37.1957i	0.727650	+	1.26033i
$872$	4.63325	+	8.02502i	0.156902	+	0.271762i
$873$	24.8747	−	16.5000i	0.841881	−	0.558440i
$874$	0.635230	+	14.2665i	0.0214870	+	0.482572i
$875$	8.00000	+	8.00000i	0.270449	+	0.270449i
$876$	31.5908	−	33.6157i	1.06735	−	1.13577i
$877$	15.5273	+	4.16052i	0.524319	+	0.140491i	0.511263	−	0.859424i	$-0.329178\pi$
$877$	15.5273	+	4.16052i	0.524319	+	0.140491i	0.0130552	+	0.999915i	$0.495844\pi$
$878$	−6.70435	−	25.0210i	−0.226261	−	0.844417i
$879$	0.480242	+	15.4651i	0.0161982	+	0.521623i
$880$	−25.2665	+	43.7629i	−0.851734	+	1.47525i
$881$		−	1.21637i		−	0.0409807i	−0.999790	−	0.0204903i	$-0.993477\pi$
$881$		−	1.21637i		−	0.0409807i	0.999790	−	0.0204903i	$-0.00652273\pi$
$882$	−2.52506	+	12.4749i	−0.0850233	+	0.420053i
$883$	−10.1425	+	2.71767i	−0.341322	+	0.0914569i	−0.425408	−	0.905002i	$-0.639869\pi$
$883$	−10.1425	+	2.71767i	−0.341322	+	0.0914569i	0.0840865	+	0.996458i	$0.473203\pi$
$884$	9.71175	+	36.2447i	0.326642	+	1.21904i
$885$	−2.31662	−	7.68338i	−0.0778725	−	0.258274i
$886$	−13.5831			−0.456334
$887$	−29.9065	−	17.2665i	−1.00416	−	0.579752i	−0.0946838	−	0.995507i	$-0.530184\pi$
$887$	−29.9065	−	17.2665i	−1.00416	−	0.579752i	−0.909477	+	0.415755i	$0.863517\pi$
$888$	−3.45014	−	3.24232i	−0.115779	−	0.108805i
$889$	−8.57343	−	4.94987i	−0.287544	−	0.166013i
$890$	−45.9565	+	26.5330i	−1.54047	+	0.889388i
$891$	−31.7265	−	24.6854i	−1.06288	−	0.826992i
$892$	−49.8997			−1.67077
$893$	−8.31205	+	2.62867i	−0.278152	+	0.0879651i
$894$	−4.36675	+	1.31662i	−0.146046	+	0.0440345i
$895$	−41.9440	+	24.2164i	−1.40203	+	0.809464i
$896$	5.85641	−	21.8564i	0.195649	−	0.730171i
$897$	9.91153	+	15.9990i	0.330936	+	0.534190i
$898$	−11.3468	+	42.3468i	−0.378647	+	1.41313i
$899$	−1.19562	−	4.46212i	−0.0398762	−	0.148820i
$900$	15.0000	−	9.94987i	0.500000	−	0.331662i
$901$	30.5330	+	30.5330i	1.01720	+	1.01720i
$902$	−8.47494	+	14.6790i	−0.282185	+	0.488758i
$903$	−23.4601	+	14.5338i	−0.780702	+	0.483653i
$904$	−3.89975	+	3.89975i	−0.129704	+	0.129704i
$905$	−21.2665			−0.706922
$906$	−50.4254	+	31.2391i	−1.67527	+	1.03785i
$907$	−28.4703	−	7.62859i	−0.945340	−	0.253303i	−0.246956	−	0.969027i	$-0.579430\pi$
$907$	−28.4703	−	7.62859i	−0.945340	−	0.253303i	−0.698384	+	0.715724i	$0.746097\pi$
$908$	50.4745	−	13.5246i	1.67505	−	0.448829i
$909$	−40.2205	+	13.5023i	−1.33403	+	0.447844i
$910$	−9.71175	+	36.2447i	−0.321941	+	1.20150i
$911$	6.41688			0.212601			0.106300	−	0.994334i	$-0.466100\pi$
$911$	6.41688			0.212601			0.106300	+	0.994334i	$0.466100\pi$
$912$	−17.0304	−	24.9393i	−0.563931	−	0.825822i
$913$	26.2665			0.869294
$914$	1.09808	−	4.09808i	0.0363211	−	0.135552i
$915$	−43.5865	−	40.9610i	−1.44092	−	1.35413i
$916$	−9.01640	−	33.6496i	−0.297910	−	1.11182i
$917$	−20.4219	−	5.47203i	−0.674391	−	0.180702i
$918$	26.7123	+	12.2660i	0.881637	+	0.404837i
$919$	−2.41688			−0.0797254			−0.0398627	−	0.999205i	$-0.512692\pi$
$919$	−2.41688			−0.0797254			−0.0398627	+	0.999205i	$0.512692\pi$
$920$		−	18.5330i		−	0.611015i
$921$	−13.9211	−	22.4711i	−0.458715	−	0.740448i
$922$	−5.31662	+	9.20866i	−0.175094	+	0.303271i
$923$	14.3166	+	14.3166i	0.471237	+	0.471237i
$924$	−27.2665	−	14.6332i	−0.897002	−	0.481399i
$925$	−0.750398	−	2.80052i	−0.0246729	−	0.0920807i
$926$	−11.8287	+	44.1453i	−0.388715	+	1.45071i
$927$	−0.313345	−	5.04040i	−0.0102916	−	0.165548i
$928$	−1.26650	−	2.19364i	−0.0415749	−	0.0720098i
$929$	−44.6289	+	25.7665i	−1.46423	+	0.845371i	−0.999203	−	0.0399268i	$-0.987288\pi$
$929$	−44.6289	+	25.7665i	−1.46423	+	0.845371i	−0.465024	+	0.885298i	$0.653954\pi$
$930$	20.6332	+	68.4327i	0.676591	+	2.24400i
$931$	9.64878	+	8.82616i	0.316226	+	0.289266i
$932$			31.2665i			1.02417i
$933$	−27.2415	−	25.6006i	−0.891848	−	0.838127i
$934$	10.5797	−	6.10819i	0.346178	−	0.199866i
$935$	−43.7629	−	25.2665i	−1.43120	−	0.826303i
$936$	−35.6357	−	17.7228i	−1.16479	−	0.579288i
$937$	32.7787	+	18.9248i	1.07083	+	0.618247i	0.928409	−	0.371559i	$-0.121177\pi$
$937$	32.7787	+	18.9248i	1.07083	+	0.618247i	0.142425	+	0.989806i	$0.454510\pi$
$938$	25.8997			0.845657
$939$	17.1913	−	5.18338i	0.561017	−	0.169153i
$940$	10.9282	−	2.92820i	0.356439	−	0.0955075i
$941$	55.8701	−	14.9703i	1.82131	−	0.488019i	0.824363	−	0.566062i	$-0.191534\pi$
$941$	55.8701	−	14.9703i	1.82131	−	0.488019i	0.996950	+	0.0780421i	$0.0248669\pi$
$942$	23.0501	−	6.94987i	0.751014	−	0.226439i
$943$		−	6.21637i		−	0.202433i
$944$	6.32914	−	1.69589i	0.205996	−	0.0551964i
$945$	17.0005	+	23.9788i	0.553027	+	0.780030i
$946$	13.0243	+	48.6075i	0.423457	+	1.58036i
$947$	−38.4758	−	10.3096i	−1.25030	−	0.335016i	−0.427845	−	0.903852i	$-0.640727\pi$
$947$	−38.4758	−	10.3096i	−1.25030	−	0.335016i	−0.822451	+	0.568836i	$0.807394\pi$
$948$	−15.7359	+	16.7446i	−0.511079	+	0.543838i
$949$	−44.1662	−	44.1662i	−1.43370	−	1.43370i
$950$	−0.822615	−	18.4749i	−0.0266892	−	0.599406i
$951$	18.1082	−	33.7414i	0.587198	−	1.09414i
$952$	21.8564	+	5.85641i	0.708370	+	0.189807i
$953$	−15.9248	−	27.5826i	−0.515855	−	0.893487i	−0.999831	−	0.0184059i	$-0.994141\pi$
$953$	−15.9248	−	27.5826i	−0.515855	−	0.893487i	0.483975	−	0.875082i	$-0.339192\pi$
$954$	−45.7113	+	2.84172i	−1.47996	+	0.0920040i
$955$	7.19417	+	1.92767i	0.232798	+	0.0623780i
$956$	28.8096	+	16.6332i	0.931770	+	0.537958i
$957$	−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
$960$	20.6400	+	33.3165i	0.666152	+	1.07529i
$961$	−75.4327			−2.43331
$962$	−4.53300	+	4.53300i	−0.146150	+	0.146150i
$963$	39.1723	−	44.3656i	1.26231	−	1.42966i
$964$	35.6510	−	20.5831i	1.14824	−	0.662938i
$965$	−14.1041	−	52.6371i	−0.454026	−	1.69445i
$966$	11.3436	−	0.352258i	0.364975	−	0.0113337i
$967$	−30.6913	−	53.1589i	−0.986966	−	1.70948i	−0.632851	−	0.774273i	$-0.718116\pi$
$967$	−30.6913	−	53.1589i	−0.986966	−	1.70948i	−0.354115	−	0.935202i	$-0.615218\pi$
$968$	−17.8997	+	17.8997i	−0.575320	+	0.575320i
$969$	24.9393	−	17.0304i	0.801165	−	0.547094i
$970$			39.7995i			1.27788i
$971$	11.8500	−	44.2246i	0.380283	−	1.41924i	−0.465186	−	0.885213i	$-0.654013\pi$
$971$	11.8500	−	44.2246i	0.380283	−	1.41924i	0.845470	−	0.534024i	$-0.179321\pi$
$972$	−28.5051	+	12.6277i	−0.914302	+	0.405034i
$973$	2.04357	+	7.62669i	0.0655137	+	0.244500i
$974$	33.2171	+	8.90050i	1.06435	+	0.285190i
$975$	−12.8353	−	20.7185i	−0.411059	−	0.663522i
$976$	34.5330	−	34.5330i	1.10537	−	1.10537i
$977$		−	9.10025i		−	0.291143i	−0.989348	−	0.145571i	$-0.953498\pi$
$977$		−	9.10025i		−	0.291143i	0.989348	−	0.145571i	$-0.0465021\pi$
$978$	22.9031	+	5.38087i	0.732359	+	0.172061i
$979$	−57.2361	+	15.3364i	−1.82927	+	0.490153i
$980$	−12.0000	−	12.0000i	−0.383326	−	0.383326i
$981$	1.94987	−	9.63325i	0.0622547	−	0.307566i
$982$	11.3166	−	19.6010i	0.361128	−	0.625492i
$983$	17.4073	−	10.0501i	0.555208	−	0.320549i	−0.196012	−	0.980601i	$-0.562799\pi$
$983$	17.4073	−	10.0501i	0.555208	−	0.320549i	0.751220	+	0.660052i	$0.229466\pi$
$984$	6.92309	+	11.1751i	0.220700	+	0.356249i
$985$	32.2737	−	18.6332i	1.02833	−	0.593705i
$986$	2.19364	−	1.26650i	0.0698598	−	0.0403336i
$987$	2.00000	+	6.63325i	0.0636607	+	0.211139i
$988$	−34.4674	+	22.0000i	−1.09655	+	0.699913i
$989$	−13.0501	−	13.0501i	−0.414970	−	0.414970i
$990$	50.8115	−	17.0578i	1.61490	−	0.542134i
$991$	−33.4574	+	19.3166i	−1.06281	+	0.613613i	−0.926208	−	0.377013i	$-0.876951\pi$
$991$	−33.4574	+	19.3166i	−1.06281	+	0.613613i	−0.136601	+	0.990626i	$0.543618\pi$
$992$	−56.3711	+	15.1046i	−1.78978	+	0.479571i
$993$	0.167904	+	5.40694i	0.00532826	+	0.171584i
$994$	11.7932	−	3.15999i	0.374059	−	0.100229i
$995$	−9.89975	+	9.89975i	−0.313843	+	0.313843i
$996$	9.63325	−	17.9499i	0.305241	−	0.568764i
$997$	−53.6390	+	14.3725i	−1.69877	+	0.455183i	−0.972628	−	0.232367i	$-0.925353\pi$
$997$	−53.6390	+	14.3725i	−1.69877	+	0.455183i	−0.726137	+	0.687550i	$0.758686\pi$
$998$	−12.5251	+	21.6940i	−0.396474	+	0.686713i
$999$	0.467002	+	5.00000i	0.0147753	+	0.158193i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	912.2.bv.b.539.2	yes	8
3.2	odd	2		912.2.bv.a.539.1	yes	8
16.3	odd	4		912.2.bv.a.83.1	yes	8
19.11	even	3	inner	912.2.bv.b.11.1	yes	8
48.35	even	4	inner	912.2.bv.b.83.1	yes	8
57.11	odd	6		912.2.bv.a.11.1	✓	8
304.163	odd	12		912.2.bv.a.467.1	yes	8
912.467	even	12	inner	912.2.bv.b.467.2	yes	8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
912.2.bv.a.11.1	✓	8	57.11	odd	6
912.2.bv.a.83.1	yes	8	16.3	odd	4
912.2.bv.a.467.1	yes	8	304.163	odd	12
912.2.bv.a.539.1	yes	8	3.2	odd	2
912.2.bv.b.11.1	yes	8	19.11	even	3	inner
912.2.bv.b.83.1	yes	8	48.35	even	4	inner
912.2.bv.b.467.2	yes	8	912.467	even	12	inner
912.2.bv.b.539.2	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)

\(f(q)\)	\(=\)	\(q+(1.36603 + 0.366025i) q^{2} +(1.18614 - 1.26217i) q^{3} +(1.73205 + 1.00000i) q^{4} +(2.73205 + 0.732051i) q^{5} +(2.08228 - 1.29000i) q^{6} -2.00000 q^{7} +(2.00000 + 2.00000i) q^{8} +(-0.186141 - 2.99422i) q^{9} +O(q^{10})\)	\(q+(1.36603 + 0.366025i) q^{2} +(1.18614 - 1.26217i) q^{3} +(1.73205 + 1.00000i) q^{4} +(2.73205 + 0.732051i) q^{5} +(2.08228 - 1.29000i) q^{6} -2.00000 q^{7} +(2.00000 + 2.00000i) q^{8} +(-0.186141 - 2.99422i) q^{9} +(3.46410 + 2.00000i) q^{10} +(3.15831 + 3.15831i) q^{11} +(3.31662 - 1.00000i) q^{12} +(-1.21397 - 4.53059i) q^{13} +(-2.73205 - 0.732051i) q^{14} +(4.16457 - 2.57999i) q^{15} +(2.00000 + 3.46410i) q^{16} +(-3.46410 + 2.00000i) q^{17} +(0.841688 - 4.15831i) q^{18} +(-3.21626 - 2.94205i) q^{19} +(4.00000 + 4.00000i) q^{20} +(-2.37228 + 2.52434i) q^{21} +(3.15831 + 5.47036i) q^{22} +(-2.00626 - 1.15831i) q^{23} +(4.89662 - 0.152056i) q^{24} +(2.59808 + 1.50000i) q^{25} -6.63325i q^{26} +(-4.00000 - 3.31662i) q^{27} +(-3.46410 - 2.00000i) q^{28} +(-0.432518 + 0.115893i) q^{29} +(6.63325 - 2.00000i) q^{30} +10.3166i q^{31} +(1.46410 + 5.46410i) q^{32} +(7.73253 - 0.240121i) q^{33} +(-5.46410 + 1.46410i) q^{34} +(-5.46410 - 1.46410i) q^{35} +(2.67181 - 5.37228i) q^{36} +(-0.683375 - 0.683375i) q^{37} +(-3.31662 - 5.19615i) q^{38} +(-7.15831 - 3.84169i) q^{39} +(4.00000 + 6.92820i) q^{40} +(1.34169 + 2.32387i) q^{41} +(-4.16457 + 2.57999i) q^{42} +(7.69516 + 2.06191i) q^{43} +(2.31205 + 8.62867i) q^{44} +(1.68338 - 8.31662i) q^{45} +(-2.31662 - 2.31662i) q^{46} +(1.00000 - 1.73205i) q^{47} +(6.74456 + 1.58457i) q^{48} -3.00000 q^{49} +(3.00000 + 3.00000i) q^{50} +(-1.58457 + 6.74456i) q^{51} +(2.42794 - 9.06119i) q^{52} +(-2.79396 - 10.4272i) q^{53} +(-4.25013 - 5.99470i) q^{54} +(6.31662 + 10.9407i) q^{55} +(-4.00000 - 4.00000i) q^{56} +(-7.52830 + 0.569772i) q^{57} -0.633250 q^{58} +(0.423972 - 1.58228i) q^{59} +(9.79324 - 0.304113i) q^{60} +(-3.15999 - 11.7932i) q^{61} +(-3.77615 + 14.0928i) q^{62} +(0.372281 + 5.98844i) q^{63} +8.00000i q^{64} -13.2665i q^{65} +(10.6507 + 2.50229i) q^{66} +(-8.84493 + 2.36999i) q^{67} -8.00000 q^{68} +(-3.84169 + 1.15831i) q^{69} +(-6.92820 - 4.00000i) q^{70} +(-3.73831 + 2.15831i) q^{71} +(5.61616 - 6.36072i) q^{72} +(11.5325 - 6.65831i) q^{73} +(-0.683375 - 1.18364i) q^{74} +(4.97494 - 1.50000i) q^{75} +(-2.62867 - 8.31205i) q^{76} +(-6.31662 - 6.31662i) q^{77} +(-8.37228 - 7.86797i) q^{78} +(-5.74456 + 3.31662i) q^{79} +(2.92820 + 10.9282i) q^{80} +(-8.93070 + 1.11469i) q^{81} +(0.982183 + 3.66556i) q^{82} +(4.15831 - 4.15831i) q^{83} +(-6.63325 + 2.00000i) q^{84} +(-10.9282 + 2.92820i) q^{85} +(9.75707 + 5.63325i) q^{86} +(-0.366750 + 0.683375i) q^{87} +12.6332i q^{88} +(-6.63325 + 11.4891i) q^{89} +(5.34363 - 10.7446i) q^{90} +(2.42794 + 9.06119i) q^{91} +(-2.31662 - 4.01251i) q^{92} +(13.0213 + 12.2370i) q^{93} +(2.00000 - 2.00000i) q^{94} +(-6.63325 - 10.3923i) q^{95} +(8.63325 + 4.63325i) q^{96} +(4.97494 + 8.61684i) q^{97} +(-4.09808 - 1.09808i) q^{98} +(8.86879 - 10.0446i) 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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