LMFDB - Embedded newform 912.2.bv.b.11.1

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			11.1
Root			$-0.396143 + 1.68614i$ of defining polynomial
Character	$\chi$	$=$	912.11
Dual form			912.2.bv.b.83.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.366025 - 1.36603i) q^{2} +(-1.68614 - 0.396143i) q^{3} +(-1.73205 + 1.00000i) q^{4} +(-0.732051 - 2.73205i) q^{5} +(0.0760282 + 2.44831i) q^{6} -2.00000 q^{7} +(2.00000 + 2.00000i) q^{8} +(2.68614 + 1.33591i) q^{9} +O(q^{10})$	\(q+(-0.366025 - 1.36603i) q^{2} +(-1.68614 - 0.396143i) q^{3} +(-1.73205 + 1.00000i) q^{4} +(-0.732051 - 2.73205i) q^{5} +(0.0760282 + 2.44831i) q^{6} -2.00000 q^{7} +(2.00000 + 2.00000i) q^{8} +(2.68614 + 1.33591i) q^{9} +(-3.46410 + 2.00000i) q^{10} +(3.15831 + 3.15831i) q^{11} +(3.31662 - 1.00000i) q^{12} +(4.53059 + 1.21397i) q^{13} +(0.732051 + 2.73205i) q^{14} +(0.152056 + 4.89662i) q^{15} +(2.00000 - 3.46410i) q^{16} +(3.46410 + 2.00000i) q^{17} +(0.841688 - 4.15831i) q^{18} +(-2.94205 - 3.21626i) q^{19} +(4.00000 + 4.00000i) q^{20} +(3.37228 + 0.792287i) q^{21} +(3.15831 - 5.47036i) q^{22} +(2.00626 - 1.15831i) q^{23} +(-2.57999 - 4.16457i) q^{24} +(-2.59808 + 1.50000i) q^{25} -6.63325i q^{26} +(-4.00000 - 3.31662i) q^{27} +(3.46410 - 2.00000i) q^{28} +(0.115893 - 0.432518i) q^{29} +(6.63325 - 2.00000i) q^{30} +10.3166i q^{31} +(-5.46410 - 1.46410i) q^{32} +(-4.07421 - 6.57650i) q^{33} +(1.46410 - 5.46410i) q^{34} +(1.46410 + 5.46410i) q^{35} +(-5.98844 + 0.372281i) 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} +(-0.152056 - 4.89662i) q^{42} +(-2.06191 - 7.69516i) q^{43} +(-8.62867 - 2.31205i) q^{44} +(1.68338 - 8.31662i) q^{45} +(-2.31662 - 2.31662i) 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} +(-9.06119 + 2.42794i) q^{52} +(10.4272 + 2.79396i) q^{53} +(-3.06649 + 6.67807i) q^{54} +(6.31662 - 10.9407i) q^{55} +(-4.00000 - 4.00000i) q^{56} +(3.68662 + 6.58854i) q^{57} -0.633250 q^{58} +(-1.58228 + 0.423972i) q^{59} +(-5.15999 - 8.32914i) q^{60} +(11.7932 + 3.15999i) q^{61} +(14.0928 - 3.77615i) q^{62} +(-5.37228 - 2.67181i) q^{63} +8.00000i q^{64} -13.2665i q^{65} +(-7.49241 + 7.97265i) q^{66} +(2.36999 - 8.84493i) q^{67} -8.00000 q^{68} +(-3.84169 + 1.15831i) q^{69} +(6.92820 - 4.00000i) q^{70} +(3.73831 + 2.15831i) q^{71} +(2.70047 + 8.04410i) q^{72} +(-11.5325 - 6.65831i) q^{73} +(-0.683375 + 1.18364i) q^{74} +(4.97494 - 1.50000i) q^{75} +(8.31205 + 2.62867i) q^{76} +(-6.31662 - 6.31662i) q^{77} +(-2.62772 + 11.1846i) q^{78} +(5.74456 + 3.31662i) q^{79} +(-10.9282 - 2.92820i) q^{80} +(5.43070 + 7.17687i) q^{81} +(-3.66556 - 0.982183i) q^{82} +(4.15831 - 4.15831i) q^{83} +(-6.63325 + 2.00000i) q^{84} +(2.92820 - 10.9282i) q^{85} +(-9.75707 + 5.63325i) q^{86} +(-0.366750 + 0.683375i) q^{87} +12.6332i q^{88} +(-6.63325 - 11.4891i) q^{89} +(-11.9769 + 0.744563i) q^{90} +(-9.06119 - 2.42794i) q^{91} +(-2.31662 + 4.01251i) q^{92} +(4.08686 - 17.3953i) 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} +(1.09808 + 4.09808i) q^{98} +(4.26446 + 12.7029i) 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 $\left(\mathbb{Z}/912\mathbb{Z}\right)^\times$.

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

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.366025	−	1.36603i	−0.258819	−	0.965926i
$2$	−0.366025	−	1.36603i	−0.258819	−	0.965926i
$3$	−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
$5$	−0.732051	−	2.73205i	−0.327383	−	1.22181i	−0.911894	−	0.410425i	$-0.865380\pi$
$5$	−0.732051	−	2.73205i	−0.327383	−	1.22181i	0.584511	−	0.811386i	$-0.301286\pi$
$6$	0.0760282	+	2.44831i	0.0310384	+	0.999518i
$7$	−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
$11$	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
$13$	4.53059	+	1.21397i	1.25656	+	0.336694i	0.824867	−	0.565326i	$-0.191250\pi$
$13$	4.53059	+	1.21397i	1.25656	+	0.336694i	0.431693	+	0.902021i	$0.357916\pi$
$14$	0.732051	+	2.73205i	0.195649	+	0.730171i
$15$	0.152056	+	4.89662i	0.0392608	+	1.26430i
$16$	2.00000	−	3.46410i	0.500000	−	0.866025i
$17$	3.46410	+	2.00000i	0.840168	+	0.485071i	0.857321	−	0.514782i	$-0.172127\pi$
$17$	3.46410	+	2.00000i	0.840168	+	0.485071i	−0.0171533	+	0.999853i	$0.505460\pi$
$18$	0.841688	−	4.15831i	0.198388	−	0.980124i
$19$	−2.94205	−	3.21626i	−0.674953	−	0.737860i
$19$	−2.94205	−	3.21626i	−0.674953	−	0.737860i
$20$	4.00000	+	4.00000i	0.894427	+	0.894427i
$21$	3.37228	+	0.792287i	0.735892	+	0.172891i
$22$	3.15831	−	5.47036i	0.673354	−	1.16628i
$23$	2.00626	−	1.15831i	0.418333	−	0.241525i	−0.276031	−	0.961149i	$-0.589019\pi$
$23$	2.00626	−	1.15831i	0.418333	−	0.241525i	0.694364	+	0.719624i	$0.255686\pi$
$24$	−2.57999	−	4.16457i	−0.526639	−	0.850089i
$25$	−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
$29$	0.115893	−	0.432518i	0.0215207	−	0.0803165i	−0.954330	−	0.298754i	$-0.903429\pi$
$29$	0.115893	−	0.432518i	0.0215207	−	0.0803165i	0.975851	+	0.218437i	$0.0700958\pi$
$30$	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	$0.622836\pi$
$32$	−5.46410	−	1.46410i	−0.965926	−	0.258819i
$33$	−4.07421	−	6.57650i	−0.709230	−	1.14482i
$34$	1.46410	−	5.46410i	0.251091	−	0.937086i
$35$	1.46410	+	5.46410i	0.247478	+	0.923602i
$36$	−5.98844	+	0.372281i	−0.998073	+	0.0620469i
$37$	−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	−0.742032	−	0.670364i	$-0.766138\pi$
$41$	1.34169	−	2.32387i	0.209536	−	0.362928i	0.951569	+	0.307437i	$0.0994712\pi$
$42$	−0.152056	−	4.89662i	−0.0234628	−	0.755565i
$43$	−2.06191	−	7.69516i	−0.314439	−	1.17350i	−0.924511	−	0.381155i	$-0.875526\pi$
$43$	−2.06191	−	7.69516i	−0.314439	−	1.17350i	0.610072	−	0.792346i	$-0.291140\pi$
$44$	−8.62867	−	2.31205i	−1.30082	−	0.348554i
$45$	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	0.929695	−	0.368329i	$-0.120070\pi$
$47$	1.00000	+	1.73205i	0.145865	+	0.252646i	−0.783830	+	0.620975i	$0.786737\pi$
$48$	−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
$52$	−9.06119	+	2.42794i	−1.25656	+	0.336694i
$53$	10.4272	+	2.79396i	1.43229	+	0.383780i	0.889826	−	0.456300i	$-0.150826\pi$
$53$	10.4272	+	2.79396i	1.43229	+	0.383780i	0.542462	+	0.840080i	$0.317492\pi$
$54$	−3.06649	+	6.67807i	−0.417297	+	0.908770i
$55$	6.31662	−	10.9407i	0.851734	−	1.47525i
$56$	−4.00000	−	4.00000i	−0.534522	−	0.534522i
$57$	3.68662	+	6.58854i	0.488304	+	0.872673i
$58$	−0.633250			−0.0831497
$59$	−1.58228	+	0.423972i	−0.205996	+	0.0551964i	−0.360341	−	0.932821i	$-0.617340\pi$
$59$	−1.58228	+	0.423972i	−0.205996	+	0.0551964i	0.154345	+	0.988017i	$0.450673\pi$
$60$	−5.15999	−	8.32914i	−0.666152	−	1.07529i
$61$	11.7932	+	3.15999i	1.50997	+	0.404595i	0.916425	−	0.400206i	$-0.131062\pi$
$61$	11.7932	+	3.15999i	1.50997	+	0.404595i	0.593544	+	0.804801i	$0.297728\pi$
$62$	14.0928	−	3.77615i	1.78978	−	0.479571i
$63$	−5.37228	−	2.67181i	−0.676844	−	0.336617i
$64$			8.00000i			1.00000i
$65$		−	13.2665i		−	1.64551i
$66$	−7.49241	+	7.97265i	−0.922251	+	0.981365i
$67$	2.36999	−	8.84493i	0.289541	−	1.08058i	−0.655917	−	0.754833i	$-0.727718\pi$
$67$	2.36999	−	8.84493i	0.289541	−	1.08058i	0.945457	−	0.325747i	$-0.105616\pi$
$68$	−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	$-0.250881\pi$
$71$	3.73831	+	2.15831i	0.443655	+	0.256145i	−0.261492	+	0.965206i	$0.584214\pi$
$72$	2.70047	+	8.04410i	0.318253	+	0.948006i
$73$	−11.5325	−	6.65831i	−1.34978	−	0.779297i	−0.361563	−	0.932348i	$-0.617757\pi$
$73$	−11.5325	−	6.65831i	−1.34978	−	0.779297i	−0.988218	+	0.153051i	$0.951090\pi$
$74$	−0.683375	+	1.18364i	−0.0794408	+	0.137595i
$75$	4.97494	−	1.50000i	0.574456	−	0.173205i
$76$	8.31205	+	2.62867i	0.953457	+	0.301529i
$77$	−6.31662	−	6.31662i	−0.719846	−	0.719846i
$78$	−2.62772	+	11.1846i	−0.297531	+	1.26641i
$79$	5.74456	+	3.31662i	0.646314	+	0.373149i	0.787043	−	0.616899i	$-0.211611\pi$
$79$	5.74456	+	3.31662i	0.646314	+	0.373149i	−0.140729	+	0.990048i	$0.544945\pi$
$80$	−10.9282	−	2.92820i	−1.22181	−	0.327383i
$81$	5.43070	+	7.17687i	0.603411	+	0.797430i
$82$	−3.66556	−	0.982183i	−0.404793	−	0.108464i
$83$	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
$85$	2.92820	−	10.9282i	0.317608	−	1.18533i
$86$	−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	−0.967365	−	0.253388i	$-0.918455\pi$
$89$	−6.63325	−	11.4891i	−0.703123	−	1.21784i	0.264242	−	0.964457i	$-0.414878\pi$
$90$	−11.9769	+	0.744563i	−1.26247	+	0.0784838i
$91$	−9.06119	−	2.42794i	−0.949871	−	0.254517i
$92$	−2.31662	+	4.01251i	−0.241525	+	0.418333i
$93$	4.08686	−	17.3953i	0.423788	−	1.80381i
$94$	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	−0.494854	−	0.868976i	$-0.664778\pi$
$97$	4.97494	−	8.61684i	0.505128	−	0.874908i	0.999982	−	0.00593185i	$-0.00188818\pi$
$98$	1.09808	+	4.09808i	0.110922	+	0.413968i
$99$	4.26446	+	12.7029i	0.428594	+	1.27669i
$100$	3.00000	−	5.19615i	0.300000	−	0.519615i
$101$	13.6603	+	3.66025i	1.35925	+	0.364209i	0.863540	−	0.504281i	$-0.168242\pi$
$101$	13.6603	+	3.66025i	1.35925	+	0.364209i	0.495707	+	0.868490i	$0.334909\pi$
$102$	−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
$105$	−0.304113	−	9.79324i	−0.0296784	−	0.955722i
$106$		−	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	$0.347353\pi$
$108$	10.2448	+	1.74456i	0.985809	+	0.167871i
$109$	−0.847944	−	3.16457i	−0.0812183	−	0.303111i	0.913353	−	0.407169i	$-0.133484\pi$
$109$	−0.847944	−	3.16457i	−0.0812183	−	0.303111i	−0.994571	+	0.104058i	$0.966817\pi$
$110$	−17.2573	−	4.62409i	−1.64542	−	0.440890i
$111$	0.881552	+	1.42298i	0.0836732	+	0.135063i
$112$	−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	$0.970765\pi$
$114$	7.65072	−	7.44758i	0.716555	−	0.697530i
$115$	−4.63325	−	4.63325i	−0.432053	−	0.432053i
$116$	0.231785	+	0.865035i	0.0215207	+	0.0803165i
$117$	10.5481	+	9.31334i	0.975169	+	0.861019i
$118$	1.15831	+	2.00626i	0.106631	+	0.184691i
$119$	−6.92820	−	4.00000i	−0.635107	−	0.366679i
$120$	−9.48913	+	10.0974i	−0.866235	+	0.921758i
$121$			8.94987i			0.813625i
$122$		−	17.2665i		−	1.56324i
$123$	−3.18286	+	3.38687i	−0.286989	+	0.305384i
$124$	−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	$-0.737147\pi$
$127$	−4.28672	+	2.47494i	−0.380385	+	0.219615i	0.297601	+	0.954690i	$0.403814\pi$
$128$	10.9282	−	2.92820i	0.965926	−	0.258819i
$129$	0.428286	+	13.7919i	0.0377085	+	1.21431i
$130$	−18.1224	+	4.85588i	−1.58944	+	0.425888i
$131$	−2.73602	−	10.2110i	−0.239047	−	0.892135i	−0.976283	−	0.216500i	$-0.930536\pi$
$131$	−2.73602	−	10.2110i	−0.239047	−	0.892135i	0.737236	−	0.675636i	$-0.236131\pi$
$132$	13.6332	+	7.31662i	1.18662	+	0.636830i
$133$	5.88411	+	6.43252i	0.510217	+	0.557770i
$134$	−12.9499			−1.11870
$135$	−6.13298	+	13.3561i	−0.527843	+	1.14951i
$136$	2.92820	+	10.9282i	0.251091	+	0.937086i
$137$	1.65831	+	2.87228i	0.141679	+	0.245396i	0.928129	−	0.372259i	$-0.121417\pi$
$137$	1.65831	+	2.87228i	0.141679	+	0.245396i	−0.786450	+	0.617654i	$0.788083\pi$
$138$	2.98844	+	4.82387i	0.254393	+	0.410635i
$139$	3.81334	+	1.02178i	0.323444	+	0.0866665i	0.416888	−	0.908958i	$-0.363121\pi$
$139$	3.81334	+	1.02178i	0.323444	+	0.0866665i	−0.0934439	+	0.995625i	$0.529788\pi$
$140$	−8.00000	−	8.00000i	−0.676123	−	0.676123i
$141$	−1.00000	−	3.31662i	−0.0842152	−	0.279310i
$142$	1.57999	−	5.89662i	0.132590	−	0.494833i
$143$	10.4749	+	18.1431i	0.875958	+	1.51720i
$144$	10.0000	−	6.63325i	0.833333	−	0.552771i
$145$	−1.26650			−0.105177
$146$	−4.87422	+	18.1908i	−0.403394	+	1.50549i
$147$	5.05842	+	1.18843i	0.417212	+	0.0980201i
$148$	1.86702	+	0.500265i	0.153468	+	0.0411216i
$149$	0.481918	+	1.79854i	0.0394803	+	0.147342i	0.982852	−	0.184394i	$-0.0590322\pi$
$149$	0.481918	+	1.79854i	0.0394803	+	0.147342i	−0.943372	+	0.331736i	$0.892366\pi$
$150$	−3.86999	−	6.24685i	−0.315983	−	0.510053i
$151$	−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
$155$	28.1855	−	7.55229i	2.26392	−	0.606615i
$156$	16.2402	−	0.504314i	1.30026	−	0.0403775i
$157$	−2.54383	−	9.49370i	−0.203020	−	0.757680i	−0.990044	−	0.140758i	$-0.955046\pi$
$157$	−2.54383	−	9.49370i	−0.203020	−	0.757680i	0.787024	−	0.616922i	$-0.211621\pi$
$158$	2.42794	−	9.06119i	0.193156	−	0.720869i
$159$	−16.4749	−	8.84169i	−1.30655	−	0.701191i
$160$			16.0000i			1.26491i
$161$	−4.01251	+	2.31662i	−0.316230	+	0.182576i
$162$	7.81601	−	10.0454i	0.614084	−	0.789241i
$163$	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
$165$	−14.9848	+	15.9453i	−1.16657	+	1.24134i
$166$	−7.20241	−	4.15831i	−0.559015	−	0.322748i
$167$	5.74456	−	3.31662i	0.444528	−	0.256648i	−0.260989	−	0.965342i	$-0.584049\pi$
$167$	5.74456	−	3.31662i	0.444528	−	0.256648i	0.705516	+	0.708694i	$0.250715\pi$
$168$	5.15999	+	8.32914i	0.398102	+	0.642607i
$169$	7.79423	+	4.50000i	0.599556	+	0.346154i
$170$	−16.0000			−1.22714
$171$	−3.60615	−	12.5696i	−0.275769	−	0.961224i
$172$	11.2665	+	11.2665i	0.859063	+	0.859063i
$173$	19.0559	−	5.10601i	1.44879	−	0.388203i	0.553189	−	0.833056i	$-0.313411\pi$
$173$	19.0559	−	5.10601i	1.44879	−	0.388203i	0.895603	+	0.444853i	$0.146744\pi$
$174$	1.06775	+	0.250858i	0.0809458	+	0.0190175i
$175$	5.19615	−	3.00000i	0.392792	−	0.226779i
$176$	17.2573	−	4.62409i	1.30082	−	0.348554i
$177$	2.83591	−	0.0880645i	0.213160	−	0.00661933i
$178$	−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	$0.471040\pi$
$180$	5.40093	+	16.0882i	0.402562	+	1.19914i
$181$	1.94602	−	7.26264i	0.144647	−	0.539828i	−0.855124	−	0.518423i	$-0.826519\pi$
$181$	1.94602	−	7.26264i	0.144647	−	0.539828i	0.999771	−	0.0214052i	$-0.00681401\pi$
$182$			13.2665i			0.983378i
$183$	−18.6332	−	10.0000i	−1.37741	−	0.739221i
$184$	6.32914	+	1.69589i	0.466590	+	0.125022i
$185$	−1.36675	+	2.36728i	−0.100485	+	0.174046i
$186$	−25.2583	+	0.784355i	−1.85203	+	0.0575117i
$187$	4.62409	+	17.2573i	0.338147	+	1.26198i
$188$	−3.46410	−	2.00000i	−0.252646	−	0.145865i
$189$	8.00000	+	6.63325i	0.581914	+	0.482498i
$190$	16.6241	+	5.25734i	1.20604	+	0.381408i
$191$	2.63325			0.190535			0.0952676	−	0.995452i	$-0.469629\pi$
$191$	2.63325			0.190535			0.0952676	+	0.995452i	$0.469629\pi$
$192$	3.16915	−	13.4891i	0.228714	−	0.973494i
$193$	−9.63325	+	16.6853i	−0.693416	+	1.20103i	0.277295	+	0.960785i	$0.410562\pi$
$193$	−9.63325	+	16.6853i	−0.693416	+	1.20103i	−0.970712	+	0.240248i	$0.922771\pi$
$194$	−13.5918	−	3.64191i	−0.975833	−	0.261474i
$195$	−5.25544	+	22.3692i	−0.376350	+	1.60189i
$196$	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	0.764871	−	0.644183i	$-0.222803\pi$
$199$	−2.47494	−	4.28672i	−0.175444	−	0.303877i	−0.940315	+	0.340306i	$0.889469\pi$
$200$	−8.19615	−	2.19615i	−0.579555	−	0.155291i
$201$	−7.50000	+	13.9749i	−0.529009	+	0.985716i
$202$		−	20.0000i		−	1.40720i
$203$	−0.231785	+	0.865035i	−0.0162681	+	0.0607136i
$204$	13.4891	+	3.16915i	0.944428	+	0.221885i
$205$	−7.33112	−	1.96437i	−0.512027	−	0.137197i
$206$	−0.616158	−	2.29953i	−0.0429298	−	0.160216i
$207$	6.93648	−	0.431218i	0.482119	−	0.0299717i
$208$	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
$211$	4.09808	−	1.09808i	0.282123	−	0.0755947i	−0.114983	−	0.993367i	$-0.536681\pi$
$211$	4.09808	−	1.09808i	0.282123	−	0.0755947i	0.397106	+	0.917773i	$0.370015\pi$
$212$	−20.8544	+	5.58793i	−1.43229	+	0.383780i
$213$	−5.44831	−	5.12012i	−0.373312	−	0.350825i
$214$	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
$219$	16.8078	+	15.7954i	1.13577	+	1.06735i
$220$			25.2665i			1.70347i
$221$	13.2665	+	13.2665i	0.892401	+	0.892401i
$222$	1.62116	−	1.72507i	0.108805	−	0.115779i
$223$	21.6072	+	12.4749i	1.44693	+	0.835384i	0.998297	−	0.0583342i	$-0.0185789\pi$
$223$	21.6072	+	12.4749i	1.44693	+	0.835384i	0.448630	+	0.893718i	$0.351912\pi$
$224$	10.9282	+	2.92820i	0.730171	+	0.195649i
$225$	−8.98266	+	0.558422i	−0.598844	+	0.0372281i
$226$	2.66358	−	0.713704i	0.177179	−	0.0474749i
$227$	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	$-0.0840007\pi$
$228$	−12.9739	−	7.72507i	−0.859221	−	0.511605i
$229$	−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
$231$	8.14843	+	13.1530i	0.536127	+	0.865404i
$232$	1.09682	−	0.633250i	0.0720098	−	0.0415749i
$233$	7.81662	−	13.5388i	0.512084	−	0.886956i	−0.487818	−	0.872946i	$-0.662207\pi$
$233$	7.81662	−	13.5388i	0.512084	−	0.886956i	0.999902	−	0.0140102i	$-0.00445973\pi$
$234$	8.86141	−	17.8178i	0.579288	−	1.16479i
$235$	4.00000	−	4.00000i	0.260931	−	0.260931i
$236$	2.31662	−	2.31662i	0.150799	−	0.150799i
$237$	−8.37228	−	7.86797i	−0.543838	−	0.511079i
$238$	−2.92820	+	10.9282i	−0.189807	+	0.708370i
$239$	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	0.979840	+	0.199784i	$0.0640240\pi$
$241$	10.2916	+	17.8255i	0.662938	+	1.14824i	−0.316902	+	0.948458i	$0.602643\pi$
$242$	12.2258	−	3.27588i	0.785901	−	0.210582i
$243$	−6.31386	−	14.2525i	−0.405034	−	0.914302i
$244$	−23.5865	+	6.31998i	−1.50997	+	0.404595i
$245$	2.19615	+	8.19615i	0.140307	+	0.523633i
$246$	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
$249$	−8.65879	+	5.36421i	−0.548728	+	0.339943i
$250$	−4.00000	+	6.92820i	−0.252982	+	0.438178i
$251$	3.71820	−	13.8765i	0.234691	−	0.875878i	−0.743597	−	0.668628i	$-0.766882\pi$
$251$	3.71820	−	13.8765i	0.234691	−	0.875878i	0.978288	−	0.207250i	$-0.0664513\pi$
$252$	11.9769	−	0.744563i	0.754472	−	0.0469030i
$253$	9.99470	+	2.67807i	0.628361	+	0.168369i
$254$	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	$-0.768153\pi$
$257$	−8.70366	+	5.02506i	−0.542920	+	0.313455i	0.203342	+	0.979108i	$0.434820\pi$
$258$	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
$261$	0.889107	−	1.00698i	0.0550344	−	0.0623306i
$262$	−12.9470	+	7.47494i	−0.799867	+	0.461803i
$263$	9.84389	+	5.68338i	0.607001	+	0.350452i	0.771791	−	0.635877i	$-0.219361\pi$
$263$	9.84389	+	5.68338i	0.607001	+	0.350452i	−0.164790	+	0.986329i	$0.552695\pi$
$264$	5.00458	−	21.3014i	0.308011	−	1.31101i
$265$		−	30.5330i		−	1.87563i
$266$	6.63325	−	10.3923i	0.406711	−	0.637193i
$267$	6.63325	+	22.0000i	0.405948	+	1.34638i
$268$	4.73998	+	17.6899i	0.289541	+	1.08058i
$269$	−16.8248	+	4.50820i	−1.02583	+	0.274870i	−0.732229	−	0.681059i	$-0.761520\pi$
$269$	−16.8248	+	4.50820i	−1.02583	+	0.274870i	−0.293599	+	0.955929i	$0.594853\pi$
$270$	20.4897	+	3.48913i	1.24696	+	0.212341i
$271$	−8.11184	−	4.68338i	−0.492759	−	0.284495i	0.232959	−	0.972487i	$-0.425159\pi$
$271$	−8.11184	−	4.68338i	−0.492759	−	0.284495i	−0.725719	+	0.687992i	$0.758493\pi$
$272$	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
$275$	−12.9430	−	3.46807i	−0.780493	−	0.209132i
$276$	5.49569	−	5.84794i	0.330801	−	0.352005i
$277$	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
$279$	−13.7821	+	27.7119i	−0.825110	+	1.65907i
$280$	−8.00000	+	13.8564i	−0.478091	+	0.828079i
$281$	13.8166	+	23.9311i	0.824231	+	1.42761i	0.902506	+	0.430678i	$0.141725\pi$
$281$	13.8166	+	23.9311i	0.824231	+	1.42761i	−0.0782751	+	0.996932i	$0.524941\pi$
$282$	−4.16457	+	2.57999i	−0.247996	+	0.153636i
$283$	−5.78011	−	21.5717i	−0.343592	−	1.28230i	−0.894248	−	0.447571i	$-0.852289\pi$
$283$	−5.78011	−	21.5717i	−0.343592	−	1.28230i	0.550656	−	0.834732i	$-0.314377\pi$
$284$	−8.63325			−0.512289
$285$	15.3014	−	14.8952i	0.906379	−	0.882314i
$286$	20.9499	−	20.9499i	1.23879	−	1.23879i
$287$	−2.68338	+	4.64774i	−0.158395	+	0.274348i
$288$	−12.7214	−	11.2323i	−0.749618	−	0.661871i
$289$	−0.500000	−	0.866025i	−0.0294118	−	0.0509427i
$290$	0.463571	+	1.73007i	0.0272218	+	0.101593i
$291$	−11.8020	+	12.5584i	−0.691843	+	0.736188i
$292$	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	$0.334032\pi$
$294$	−0.228085	−	7.34493i	−0.0133022	−	0.428365i
$295$	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
$299$	10.4957	−	2.81231i	0.606981	−	0.162640i
$300$	−7.11684	+	7.57301i	−0.410891	+	0.437228i
$301$	4.12382	+	15.3903i	0.237693	+	0.887084i
$302$	8.86381	+	33.0802i	0.510055	+	1.90355i
$303$	−21.5831	−	11.5831i	−1.23992	−	0.665433i
$304$	−17.0256	+	3.75906i	−0.976483	+	0.215597i
$305$		−	34.5330i		−	1.97735i
$306$	11.2323	−	12.7214i	0.642109	−	0.727236i
$307$	−14.7415	+	3.94999i	−0.841345	+	0.225438i	−0.653657	−	0.756791i	$-0.726766\pi$
$307$	−14.7415	+	3.94999i	−0.841345	+	0.225438i	−0.187688	+	0.982229i	$0.560099\pi$
$308$	17.2573	+	4.62409i	0.983328	+	0.263482i
$309$	−2.83841	−	0.666858i	−0.161471	−	0.0379362i
$310$	−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	$-0.761314\pi$
$313$	−8.97787	+	5.18338i	−0.507459	+	0.292982i	0.224329	+	0.974513i	$0.427981\pi$
$314$	−12.0375	+	6.94987i	−0.679317	+	0.392204i
$315$	−3.36675	+	16.6332i	−0.189695	+	0.937177i
$316$	−13.2665			−0.746299
$317$	−5.72217	+	21.3554i	−0.321389	+	1.19944i	0.596504	+	0.802610i	$0.296556\pi$
$317$	−5.72217	+	21.3554i	−0.321389	+	1.19944i	−0.917892	+	0.396829i	$0.870111\pi$
$318$	−6.04772	+	25.7415i	−0.339140	+	1.44351i
$319$	1.73205	−	1.00000i	0.0969762	−	0.0559893i
$320$	21.8564	−	5.85641i	1.22181	−	0.327383i
$321$	−17.9953	−	29.0476i	−1.00440	−	1.62128i
$322$	4.63325	+	4.63325i	0.258201	+	0.258201i
$323$	−3.75906	−	17.0256i	−0.209159	−	0.947327i
$324$	−16.5831	−	7.00000i	−0.921285	−	0.388889i
$325$	−13.5918	+	3.64191i	−0.753936	+	0.202017i
$326$	6.79156	−	11.7633i	0.376150	−	0.651511i
$327$	0.176129	+	5.67181i	0.00973995	+	0.313652i
$328$	7.33112	−	1.96437i	0.404793	−	0.108464i
$329$	−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	$0.277355\pi$
$332$	−3.04410	+	11.3607i	−0.167066	+	0.623501i
$333$	−0.922716	−	2.74857i	−0.0505645	−	0.150621i
$334$	−6.63325	−	6.63325i	−0.362955	−	0.362955i
$335$	−25.8997			−1.41505
$336$	9.48913	−	10.0974i	0.517674	−	0.550856i
$337$	8.50000	−	14.7224i	0.463025	−	0.801982i	−0.536085	−	0.844164i	$-0.680098\pi$
$337$	8.50000	−	14.7224i	0.463025	−	0.801982i	0.999110	+	0.0421818i	$0.0134309\pi$
$338$	3.29423	−	12.2942i	0.179182	−	0.668718i
$339$	0.772430	−	3.28776i	0.0419526	−	0.178567i
$340$	5.85641	+	21.8564i	0.317608	+	1.18533i
$341$	−32.5831	+	32.5831i	−1.76448	+	1.76448i
$342$	−15.8505	+	9.52689i	−0.857097	+	0.515155i
$343$	20.0000			1.07990
$344$	11.2665	−	19.5141i	0.607449	−	1.05213i
$345$	5.97688	+	9.64774i	0.321784	+	0.519417i
$346$	−13.9499	−	24.1619i	−0.749950	−	1.29895i
$347$	−17.5421	+	4.70038i	−0.941708	+	0.252330i	−0.696840	−	0.717227i	$-0.745411\pi$
$347$	−17.5421	+	4.70038i	−0.941708	+	0.252330i	−0.244868	+	0.969556i	$0.578745\pi$
$348$	−0.0481448	−	1.55039i	−0.00258083	−	0.0831097i
$349$	−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
$351$	−14.0961	−	19.8822i	−0.752394	−	1.06123i
$352$	−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
$355$	3.15999	−	11.7932i	0.167715	−	0.625920i
$356$	22.9783	+	13.2665i	1.21784	+	0.703123i
$357$	10.0974	+	9.48913i	0.534408	+	0.502218i
$358$	20.9720	+	12.1082i	1.10840	+	0.639938i
$359$	−26.7166	−	15.4248i	−1.41005	−	0.814090i	−0.414654	−	0.909979i	$-0.636097\pi$
$359$	−26.7166	−	15.4248i	−1.41005	−	0.814090i	−0.995392	+	0.0958888i	$0.969431\pi$
$360$	20.0000	−	13.2665i	1.05409	−	0.699206i
$361$	−1.68864	+	18.9248i	−0.0888758	+	0.996043i
$362$	−10.6332			−0.558871
$363$	3.54543	−	15.0907i	0.186087	−	0.792059i
$364$	18.1224	−	4.85588i	0.949871	−	0.254517i
$365$	−9.74845	+	36.3817i	−0.510257	+	1.90430i
$366$	−6.84001	+	29.1137i	−0.357533	+	1.52180i
$367$	18.1431	−	10.4749i	0.947063	−	0.546787i	0.0548959	−	0.998492i	$-0.482517\pi$
$367$	18.1431	−	10.4749i	0.947063	−	0.546787i	0.892167	+	0.451705i	$0.149184\pi$
$368$		−	9.26650i		−	0.483050i
$369$	6.70844	−	4.44987i	0.349227	−	0.231651i
$370$	3.73403	+	1.00053i	0.194123	+	0.0520151i
$371$	−20.8544	−	5.58793i	−1.08271	−	0.290111i
$372$	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
$375$	5.15999	+	8.32914i	0.266461	+	0.430115i
$376$	−1.46410	+	5.46410i	−0.0755053	+	0.281790i
$377$	1.05013	−	1.81887i	0.0540842	−	0.0936766i
$378$	6.13298	−	13.3561i	0.315447	−	0.686966i
$379$	−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
$382$	−0.963836	−	3.59709i	−0.0493142	−	0.184043i
$383$		0			0		−0.866025	−	0.500000i	$-0.833333\pi$
$383$		0			0		0.866025	+	0.500000i	$0.166667\pi$
$384$	−19.5865	+	0.608226i	−0.999518	+	0.0310384i
$385$	−12.6332	+	21.8814i	−0.643850	+	1.11518i
$386$	26.3185	+	7.05203i	1.33958	+	0.358939i
$387$	4.74144	−	23.4248i	0.241021	−	1.19075i
$388$			19.8997i			1.01026i
$389$	4.16655	+	1.11642i	0.211252	+	0.0566049i	0.362893	−	0.931831i	$-0.381789\pi$
$389$	4.16655	+	1.11642i	0.211252	+	0.0566049i	−0.151641	+	0.988436i	$0.548456\pi$
$390$	32.4805	−	1.00863i	1.64471	−	0.0510739i
$391$	9.26650			0.468627
$392$	−6.00000	−	6.00000i	−0.303046	−	0.303046i
$393$	0.568306	+	18.3010i	0.0286673	+	0.923161i
$394$	−16.1369	−	9.31662i	−0.812964	−	0.469365i
$395$	4.85588	−	18.1224i	0.244326	−	0.911836i
$396$	−20.0891	−	17.7376i	−1.00952	−	0.891347i
$397$	−5.22190	−	19.4884i	−0.262080	−	0.978095i	−0.964014	−	0.265853i	$-0.914347\pi$
$397$	−5.22190	−	19.4884i	−0.262080	−	0.978095i	0.701934	−	0.712242i	$-0.252320\pi$
$398$	−4.94987	+	4.94987i	−0.248115	+	0.248115i
$399$	−7.37323	−	13.1771i	−0.369123	−	0.659679i
$400$			12.0000i			0.600000i
$401$	−22.1990	−	12.8166i	−1.10857	−	0.640032i	−0.170109	−	0.985425i	$-0.554412\pi$
$401$	−22.1990	−	12.8166i	−1.10857	−	0.640032i	−0.938458	+	0.345393i	$0.887745\pi$
$402$	21.8353	+	5.13001i	1.08905	+	0.255862i
$403$	−12.5241	+	46.7404i	−0.623868	+	2.32831i
$404$	−27.3205	+	7.32051i	−1.35925	+	0.364209i
$405$	15.6320	−	20.0908i	0.776761	−	0.998319i
$406$	1.26650			0.0628553
$407$		−	4.31662i		−	0.213967i
$408$	−0.608226	−	19.5865i	−0.0301117	−	0.969675i
$409$	−12.3552	+	7.13325i	−0.610923	+	0.352716i	−0.773327	−	0.634008i	$-0.781409\pi$
$409$	−12.3552	+	7.13325i	−0.610923	+	0.352716i	0.162404	+	0.986724i	$0.448075\pi$
$410$			10.7335i			0.530090i
$411$	−1.65831	−	5.50000i	−0.0817985	−	0.271295i
$412$	−2.91569	+	1.68338i	−0.143646	+	0.0829339i
$413$	3.16457	−	0.847944i	0.155718	−	0.0417246i
$414$	−3.12798	−	9.31758i	−0.153732	−	0.457934i
$415$	−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
$418$	−26.8860	+	5.93614i	−1.31504	+	0.290346i
$419$	−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	$0.254033\pi$
$420$	10.3200	+	16.6583i	0.503563	+	0.812841i
$421$	1.36603	−	0.366025i	0.0665760	−	0.0178390i	−0.225377	−	0.974272i	$-0.572361\pi$
$421$	1.36603	−	0.366025i	0.0665760	−	0.0178390i	0.291953	+	0.956433i	$0.405695\pi$
$422$	−3.00000	−	5.19615i	−0.146038	−	0.252945i
$423$	0.372281	+	5.98844i	0.0181009	+	0.291168i
$424$	15.2665	+	26.4424i	0.741407	+	1.28415i
$425$	−12.0000			−0.582086
$426$	−5.00000	+	9.31662i	−0.242251	+	0.451392i
$427$	−23.5865	−	6.31998i	−1.14143	−	0.305845i
$428$	−38.1118	−	10.2120i	−1.84220	−	0.493616i
$429$	−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	0.906967	−	0.421203i	$-0.138392\pi$
$431$	1.84169	+	3.18990i	0.0887110	+	0.153652i	−0.818256	+	0.574855i	$0.805059\pi$
$432$	−19.4891	+	7.22316i	−0.937671	+	0.347524i
$433$	5.94987	+	10.3055i	0.285933	+	0.495250i	0.972835	−	0.231500i	$-0.0743633\pi$
$433$	5.94987	+	10.3055i	0.285933	+	0.495250i	−0.686902	+	0.726750i	$0.741030\pi$
$434$	−28.1855	+	7.55229i	−1.35295	+	0.362522i
$435$	2.13550	+	0.501715i	0.102389	+	0.0240554i
$436$	4.63325	+	4.63325i	0.221892	+	0.221892i
$437$	−9.62794	−	3.04482i	−0.460567	−	0.145654i
$438$	15.4248	−	28.7414i	0.737026	−	1.37332i
$439$	−9.15831	+	15.8627i	−0.437102	+	0.757084i	−0.997465	−	0.0711641i	$-0.977329\pi$
$439$	−9.15831	+	15.8627i	−0.437102	+	0.757084i	0.560362	+	0.828248i	$0.310662\pi$
$440$	34.5147	−	9.24818i	1.64542	−	0.440890i
$441$	−8.05842	−	4.00772i	−0.383734	−	0.190844i
$442$	13.2665	−	22.9783i	0.631023	−	1.09296i
$443$	2.48588	−	9.27745i	0.118108	−	0.440785i	−0.881393	−	0.472384i	$-0.843393\pi$
$443$	2.48588	−	9.27745i	0.118108	−	0.440785i	0.999501	+	0.0315995i	$0.0100601\pi$
$444$	−2.94987	−	1.58312i	−0.139995	−	0.0751317i
$445$	−26.5330	+	26.5330i	−1.25778	+	1.25778i
$446$	9.13229	−	34.0822i	0.432426	−	1.61384i
$447$	−0.100101	−	3.22351i	−0.00473460	−	0.152467i
$448$		−	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	$0.738825\pi$
$450$	4.05070	+	12.0661i	0.190952	+	0.568803i
$451$	11.5770	−	3.10204i	0.545139	−	0.146069i
$452$	−1.94987	−	3.37728i	−0.0917144	−	0.158854i
$453$	40.8322	+	9.59316i	1.91846	+	0.450726i
$454$	−31.9995	−	18.4749i	−1.50181	−	0.867072i
$455$			26.5330i			1.24389i
$456$	−5.80385	+	20.5503i	−0.271790	+	0.962357i
$457$		−	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
$459$	−7.22316	−	19.4891i	−0.337148	−	0.909674i
$460$	12.6583	+	3.39177i	0.590195	+	0.158142i
$461$	7.26264	−	1.94602i	0.338255	−	0.0906352i	−0.0856932	−	0.996322i	$-0.527310\pi$
$461$	7.26264	−	1.94602i	0.338255	−	0.0906352i	0.423948	+	0.905686i	$0.360644\pi$
$462$	14.9848	−	15.9453i	0.697157	−	0.741842i
$463$			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
$465$	−50.5166	+	1.56871i	−2.34265	+	0.0727472i
$466$	−21.3554	−	5.72217i	−0.989271	−	0.265074i
$467$	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
$469$	−4.73998	+	17.6899i	−0.218872	+	0.816842i
$470$	−6.92820	−	4.00000i	−0.319574	−	0.184506i
$471$	0.528387	+	17.0154i	0.0243468	+	0.784030i
$472$	−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
$475$	12.4681	+	3.94300i	0.572074	+	0.180917i
$476$	16.0000			0.733359
$477$	24.2765	+	21.4348i	1.11154	+	0.981431i
$478$	−6.08819	−	22.7214i	−0.278467	−	1.03925i
$479$	−3.31662	−	5.74456i	−0.151540	−	0.262476i	0.780253	−	0.625463i	$-0.215090\pi$
$479$	−3.31662	−	5.74456i	−0.151540	−	0.262476i	−0.931794	+	0.362988i	$0.881757\pi$
$480$	6.33830	−	26.9783i	0.289302	−	1.23138i
$481$	−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
$485$	−27.1836	−	7.28381i	−1.23434	−	0.330741i
$486$	−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
$489$	−8.76110	−	14.1420i	−0.396190	−	0.639522i
$490$	10.3923	−	6.00000i	0.469476	−	0.271052i
$491$	−15.4588	+	4.14217i	−0.697646	+	0.186934i	−0.590176	−	0.807275i	$-0.700942\pi$
$491$	−15.4588	+	4.14217i	−0.697646	+	0.186934i	−0.107470	+	0.994208i	$0.534275\pi$
$492$	2.12600	−	9.04910i	0.0958476	−	0.407965i
$493$	1.26650	−	1.26650i	0.0570403	−	0.0570403i
$494$	−21.3342	+	19.5154i	−0.959873	+	0.878038i
$495$	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
$498$	10.4970	+	9.86469i	0.470381	+	0.442047i
$499$	17.1096	−	4.58449i	0.765929	−	0.205230i	0.145357	−	0.989379i	$-0.453567\pi$
$499$	17.1096	−	4.58449i	0.765929	−	0.205230i	0.620572	+	0.784149i	$0.286900\pi$
$500$	10.9282	+	2.92820i	0.488724	+	0.130953i
$501$	−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	$-0.462397\pi$
$503$	23.2525	−	13.4248i	1.03678	−	0.598583i	0.918918	+	0.394448i	$0.129064\pi$
$504$	−5.40093	−	16.0882i	−0.240577	−	0.716625i
$505$		−	40.0000i		−	1.77998i
$506$		−	14.6332i		−	0.650527i
$507$	−11.3595	−	10.6753i	−0.504494	−	0.474105i
$508$	4.94987	−	8.57343i	0.219615	−	0.380385i
$509$	−6.55176	+	24.4515i	−0.290402	+	1.08379i	0.654399	+	0.756149i	$0.272922\pi$
$509$	−6.55176	+	24.4515i	−0.290402	+	1.08379i	−0.944801	+	0.327645i	$0.893745\pi$
$510$	26.9783	+	6.33830i	1.19462	+	0.280664i
$511$	23.0651	+	13.3166i	1.02034	+	0.589093i
$512$	−16.0000	+	16.0000i	−0.707107	+	0.707107i
$513$	1.10109	+	22.6227i	0.0486144	+	0.998818i
$514$	10.0501	+	10.0501i	0.443292	+	0.443292i
$515$	−1.23232	−	4.59907i	−0.0543023	−	0.202659i
$516$	−14.5338	−	23.4601i	−0.639813	−	1.03277i
$517$	−2.31205	+	8.62867i	−0.101684	+	0.379488i
$518$	1.36675	−	2.36728i	0.0600516	−	0.104012i
$519$	−34.1536	+	1.06058i	−1.49918	+	0.0465545i
$520$	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	$0.439082\pi$
$522$	−1.70100	−	0.845963i	−0.0744506	−	0.0370268i
$523$	0.364045	+	0.0975455i	0.0159186	+	0.00426537i	0.266770	−	0.963760i	$-0.414044\pi$
$523$	0.364045	+	0.0975455i	0.0159186	+	0.00426537i	−0.250851	+	0.968026i	$0.580710\pi$
$524$	14.9499	+	14.9499i	0.653088	+	0.653088i
$525$	−9.94987	+	3.00000i	−0.434248	+	0.130931i
$526$	4.16052	−	15.5273i	0.181407	−	0.677021i
$527$	−20.6332	+	35.7378i	−0.898798	+	1.55676i
$528$	−30.9301	+	0.960484i	−1.34606	+	0.0417997i
$529$	−8.81662	+	15.2708i	−0.383332	+	0.663950i
$530$	−41.7089	+	11.1759i	−1.81172	+	0.485448i
$531$	−4.81662	−	0.974937i	−0.209024	−	0.0423087i
$532$	−16.6241	−	5.25734i	−0.720746	−	0.227935i
$533$	8.89975	−	8.89975i	0.385491	−	0.385491i
$534$	27.6246	−	17.1137i	1.19543	−	0.740584i
$535$	27.8997	−	48.3238i	1.20621	−	2.08922i
$536$	22.4298	−	12.9499i	0.968822	−	0.559349i
$537$	25.2127	−	15.6195i	1.08801	−	0.674032i
$538$	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
$541$	8.19615	+	2.19615i	0.352380	+	0.0944200i	0.430667	−	0.902511i	$-0.358278\pi$
$541$	8.19615	+	2.19615i	0.352380	+	0.0944200i	−0.0782869	+	0.996931i	$0.524945\pi$
$542$	−3.42847	+	12.7952i	−0.147265	+	0.549602i
$543$	−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
$546$	5.25544	−	22.3692i	0.224912	−	0.957313i
$547$	9.34573	−	34.8787i	0.399594	−	1.49131i	−0.414217	−	0.910178i	$-0.635945\pi$
$547$	9.34573	−	34.8787i	0.399594	−	1.49131i	0.813812	−	0.581129i	$-0.197389\pi$
$548$	−5.74456	−	3.31662i	−0.245396	−	0.141679i
$549$	27.4568	+	24.2428i	1.17183	+	1.03466i
$550$			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
$555$	3.24232	−	3.45014i	0.137629	−	0.146450i
$556$	−7.62669	+	2.04357i	−0.323444	+	0.0866665i
$557$	9.01640	−	33.6496i	0.382037	−	1.42578i	−0.460748	−	0.887531i	$-0.652419\pi$
$557$	9.01640	−	33.6496i	0.382037	−	1.42578i	0.842785	−	0.538250i	$-0.180914\pi$
$558$	42.8997	+	8.68338i	1.81609	+	0.367597i
$559$		−	37.3668i		−	1.58045i
$560$	21.8564	+	5.85641i	0.923602	+	0.247478i
$561$	−0.960484	−	30.9301i	−0.0405517	−	1.30587i
$562$	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	$0.0644098\pi$
$564$	5.04868	+	4.74456i	0.212588	+	0.199782i
$565$	5.32716	−	1.42741i	0.224115	−	0.0600515i
$566$	−27.3518	+	15.7916i	−1.14968	+	0.663769i
$567$	−10.8614	−	14.3537i	−0.456136	−	0.602800i
$568$	3.15999	+	11.7932i	0.132590	+	0.494833i
$569$	20.5330			0.860788			0.430394	−	0.902641i	$-0.358375\pi$
$569$	20.5330			0.860788			0.430394	+	0.902641i	$0.358375\pi$
$570$	−25.9479	−	15.4501i	−1.08684	−	0.647135i
$571$	−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
$573$	−4.44003	−	1.04314i	−0.185485	−	0.0435780i
$574$	7.33112	+	1.96437i	0.305995	+	0.0819911i
$575$	−3.47494	+	6.01877i	−0.144915	+	0.251000i
$576$	−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
$579$	22.8528	−	24.3176i	0.949729	−	1.01060i
$580$	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
$584$	−9.74845	−	36.3817i	−0.403394	−	1.50549i
$585$	17.7228	−	35.6357i	0.732748	−	1.47335i
$586$	10.9407	+	6.31662i	0.451957	+	0.260937i
$587$	−11.2922	+	3.02575i	−0.466081	+	0.124886i	−0.484214	−	0.874950i	$-0.660894\pi$
$587$	−11.2922	+	3.02575i	−0.466081	+	0.124886i	0.0181331	+	0.999836i	$0.494228\pi$
$588$	−9.94987	+	3.00000i	−0.410326	+	0.123718i
$589$	33.1809	−	30.3521i	1.36720	−	1.25063i
$590$	4.63325	−	4.63325i	0.190748	−	0.190748i
$591$	−19.3999	+	12.0184i	−0.798004	+	0.494372i
$592$	−3.73403	+	1.00053i	−0.153468	+	0.0411216i
$593$	18.4607	−	10.6583i	0.758092	−	0.437684i	−0.0705185	−	0.997510i	$-0.522465\pi$
$593$	18.4607	−	10.6583i	0.758092	−	0.437684i	0.828610	+	0.559826i	$0.189132\pi$
$594$	−30.7764	+	11.4065i	−1.26277	+	0.468014i
$595$	−5.85641	+	21.8564i	−0.240089	+	0.896025i
$596$	−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	$-0.501184\pi$
$599$	21.0588	−	12.1583i	0.860440	−	0.496775i	0.864160	+	0.503218i	$0.167851\pi$
$600$	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
$603$	18.1821	−	20.5926i	0.740434	−	0.838597i
$604$	41.9440	−	24.2164i	1.70668	−	0.985350i
$605$	24.4515	−	6.55176i	0.994095	−	0.266367i
$606$	−7.92287	+	33.7228i	−0.321845	+	1.36990i
$607$		−	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
$610$	−47.1730	+	12.6400i	−1.90998	+	0.511777i
$611$	2.42794	+	9.06119i	0.0982239	+	0.366576i
$612$	−21.4891	−	10.6873i	−0.868646	−	0.432007i
$613$	−34.5832	+	9.26653i	−1.39680	+	0.374272i	−0.877195	−	0.480135i	$-0.840588\pi$
$613$	−34.5832	+	9.26653i	−1.39680	+	0.374272i	−0.519606	+	0.854406i	$0.673921\pi$
$614$	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	−0.999999	−	0.00140130i	$-0.999554\pi$
$617$	−12.4499	−	21.5638i	−0.501213	−	0.868127i	0.498786	−	0.866725i	$-0.333779\pi$
$618$	0.127984	+	4.12142i	0.00514827	+	0.165788i
$619$	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
$621$	−11.8667	−	2.02075i	−0.476195	−	0.0810898i
$622$	−29.4831	+	7.89997i	−1.18216	+	0.316760i
$623$	13.2665	+	22.9783i	0.531511	+	0.920604i
$624$	−27.6246	+	17.1137i	−1.10587	+	0.685098i
$625$	−15.5000	+	26.8468i	−0.620000	+	1.07387i
$626$	10.3668	+	10.3668i	0.414339	+	0.414339i
$627$	−9.16518	+	32.4522i	−0.366022	+	1.29601i
$628$	13.8997	+	13.8997i	0.554660	+	0.554660i
$629$	−1.00053	−	3.73403i	−0.0398938	−	0.148886i
$630$	23.9538	−	1.48913i	0.954341	−	0.0593282i
$631$	11.3166	+	19.6010i	0.450508	+	0.780302i	0.998418	−	0.0562351i	$-0.0179096\pi$
$631$	11.3166	+	19.6010i	0.450508	+	0.780302i	−0.547910	+	0.836537i	$0.684576\pi$
$632$	4.85588	+	18.1224i	0.193156	+	0.720869i
$633$	−7.34493	+	0.228085i	−0.291935	+	0.00906555i
$634$	31.2665			1.24175
$635$	9.89975	+	9.89975i	0.392860	+	0.392860i
$636$	37.3771	−	1.16069i	1.48210	−	0.0460242i
$637$	−13.5918	−	3.64191i	−0.538526	−	0.144298i
$638$	−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	$-0.0848568\pi$
$641$	30.8593	+	17.8166i	1.21887	+	0.703714i	0.254193	+	0.967154i	$0.418190\pi$
$642$	−33.0930	+	35.2142i	−1.30608	+	1.38979i
$643$	−45.2266	+	12.1184i	−1.78356	+	0.477905i	−0.991226	−	0.132178i	$-0.957803\pi$
$643$	−45.2266	+	12.1184i	−1.78356	+	0.477905i	−0.792338	+	0.610082i	$0.791136\pi$
$644$	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	$0.859841\pi$
$648$	−3.49233	+	25.2151i	−0.137192	+	0.990545i
$649$	−6.33638	−	3.65831i	−0.248725	−	0.143601i
$650$	9.94987	+	17.2337i	0.390266	+	0.675961i
$651$	−8.17373	+	34.7906i	−0.320354	+	1.36355i
$652$	−18.5549	−	4.97177i	−0.726666	−	0.194709i
$653$	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
$659$	−40.3428	−	10.8098i	−1.57153	−	0.421091i	−0.635241	−	0.772314i	$-0.719099\pi$
$659$	−40.3428	−	10.8098i	−1.57153	−	0.421091i	−0.936292	+	0.351223i	$0.885766\pi$
$660$	10.0092	−	42.6029i	0.389606	−	1.65831i
$661$	−3.39177	+	12.6583i	−0.131925	+	0.492350i	−0.999992	−	0.00409750i	$-0.998696\pi$
$661$	−3.39177	+	12.6583i	−0.131925	+	0.492350i	0.868067	+	0.496447i	$0.165362\pi$
$662$	3.82513	+	2.20844i	0.148668	+	0.0858334i
$663$	−17.1137	−	27.6246i	−0.664643	−	1.07285i
$664$	16.6332			0.645495
$665$	13.2665	−	20.7846i	0.514453	−	0.805993i
$666$	−3.41688	+	2.26650i	−0.132401	+	0.0878251i
$667$	−0.268480	−	1.00198i	−0.0103956	−	0.0387969i
$668$	−6.63325	+	11.4891i	−0.256648	+	0.444528i
$669$	−31.4910	−	29.5941i	−1.21751	−	1.14417i
$670$	9.47997	+	35.3797i	0.366243	+	1.36684i
$671$	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	$0.792715\pi$
$674$	−23.2224	−	6.22243i	−0.894495	−	0.239679i
$675$	15.3672	+	2.61684i	0.591485	+	0.100722i
$676$	−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	$0.143801\pi$
$678$	−4.77390	+	0.148246i	−0.183340	+	0.00569333i
$679$	−9.94987	+	17.2337i	−0.381841	+	0.661368i
$680$	27.7128	−	16.0000i	1.06274	−	0.613572i
$681$	−38.4701	+	23.8326i	−1.47418	+	0.913268i
$682$	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	$0.585450\pi$
$684$	18.8157	+	18.1651i	0.719435	+	0.694560i
$685$	6.63325	−	6.63325i	0.253443	−	0.253443i
$686$	−7.32051	−	27.3205i	−0.279498	−	1.04310i
$687$	15.8884	+	25.6467i	0.606181	+	0.978483i
$688$	−30.7806	−	8.24765i	−1.17350	−	0.314439i
$689$	43.8497	+	25.3166i	1.67054	+	0.964487i
$690$	10.9914	−	11.6959i	0.418434	−	0.445255i
$691$	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
$693$	−8.52892	−	25.4058i	−0.323987	−	0.965085i
$694$	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
$699$	−18.5432	+	19.7318i	−0.701369	+	0.746325i
$700$	−6.00000	+	10.3923i	−0.226779	+	0.392792i
$701$	−18.6918	+	5.00846i	−0.705981	+	0.189167i	−0.593908	−	0.804533i	$-0.702416\pi$
$701$	−18.6918	+	5.00846i	−0.705981	+	0.189167i	−0.112073	+	0.993700i	$0.535749\pi$
$702$	−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
$705$	−8.32914	+	5.15999i	−0.313693	+	0.194336i
$706$	−17.1889	+	4.60574i	−0.646912	+	0.173339i
$707$	−27.3205	−	7.32051i	−1.02749	−	0.275316i
$708$	−4.82387	+	2.98844i	−0.181292	+	0.112312i
$709$	8.76626	−	32.7161i	0.329224	−	1.22868i	−0.580773	−	0.814065i	$-0.697250\pi$
$709$	8.76626	−	32.7161i	0.329224	−	1.22868i	0.909997	−	0.414615i	$-0.136084\pi$
$710$	−17.2665			−0.648000
$711$	11.0000	+	16.5831i	0.412532	+	0.621916i
$712$	9.71175	−	36.2447i	0.363963	−	1.35833i
$713$	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
$716$	8.86381	−	33.0802i	0.331256	−	1.23626i
$717$	−28.0460	−	6.58915i	−1.04740	−	0.246076i
$718$	−11.2917	+	42.1414i	−0.421404	+	1.57270i
$719$	3.79156	−	6.56718i	0.141401	−	0.244914i	−0.786623	−	0.617433i	$-0.788173\pi$
$719$	3.79156	−	6.56718i	0.141401	−	0.244914i	0.928025	+	0.372519i	$0.121506\pi$
$720$	−25.4429	−	22.4646i	−0.948200	−	0.837207i
$721$	−3.36675			−0.125384
$722$	26.4699	−	4.62024i	0.985106	−	0.171947i
$723$	−10.2916	−	34.1332i	−0.382747	−	1.26943i
$724$	3.89204	+	14.5253i	0.144647	+	0.539828i
$725$	0.347678	+	1.29755i	0.0129124	+	0.0481899i
$726$	−21.9121	+	0.680443i	−0.813233	+	0.0252536i
$727$	10.2665	−	17.7821i	0.380763	−	0.659502i	−0.610408	−	0.792087i	$-0.708995\pi$
$727$	10.2665	−	17.7821i	0.380763	−	0.659502i	0.991172	+	0.132585i	$0.0423279\pi$
$728$	−13.2665	−	22.9783i	−0.491689	−	0.851631i
$729$	5.00000	+	26.5330i	0.185185	+	0.982704i
$730$	53.2665			1.97148
$731$	8.24765	−	30.7806i	0.305050	−	1.13846i
$732$	42.2737	−	1.31274i	1.56248	−	0.0485203i
$733$	−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
$735$	−0.456169	−	14.6899i	−0.0168261	−	0.541844i
$736$	−12.6583	+	3.39177i	−0.466590	+	0.125022i
$737$	35.4202	−	20.4499i	1.30472	−	0.753281i
$738$	−8.53410	−	7.53513i	−0.314145	−	0.277372i
$739$	44.2931	−	11.8683i	1.62935	−	0.436583i	0.675620	−	0.737250i	$-0.263876\pi$
$739$	44.2931	−	11.8683i	1.62935	−	0.436583i	0.953729	+	0.300668i	$0.0972095\pi$
$740$		−	5.46700i		−	0.200971i
$741$	8.70428	+	34.3254i	0.319760	+	1.26098i
$742$			30.5330i			1.12090i
$743$	3.73831	+	2.15831i	0.137145	+	0.0791808i	0.567003	−	0.823716i	$-0.308103\pi$
$743$	3.73831	+	2.15831i	0.137145	+	0.0791808i	−0.429858	+	0.902897i	$0.641436\pi$
$744$	42.9643	−	26.6168i	1.57515	−	0.975820i
$745$	4.56092	−	2.63325i	0.167099	−	0.0964748i
$746$	12.6332	−	21.8814i	0.462536	−	0.801136i
$747$	16.7249	−	5.61469i	0.611933	−	0.205431i
$748$	−25.2665	−	25.2665i	−0.923835	−	0.923835i
$749$	−27.8997	−	27.8997i	−1.01943	−	1.01943i
$750$	9.48913	−	10.0974i	0.346494	−	0.368703i
$751$	−29.1707	+	16.8417i	−1.06445	+	0.614562i	−0.926661	−	0.375899i	$-0.877334\pi$
$751$	−29.1707	+	16.8417i	−1.06445	+	0.614562i	−0.137792	+	0.990461i	$0.544001\pi$
$752$	8.00000			0.291730
$753$	−11.7665	+	21.9248i	−0.428795	+	0.798985i
$754$	−2.86900	−	0.768745i	−0.104483	−	0.0279961i
$755$	17.7276	+	66.1604i	0.645174	+	2.40782i
$756$	−20.4897	−	3.48913i	−0.745202	−	0.126898i
$757$	−22.7899	+	6.10654i	−0.828314	+	0.221946i	−0.647978	−	0.761659i	$-0.724385\pi$
$757$	−22.7899	+	6.10654i	−0.828314	+	0.221946i	−0.180336	+	0.983605i	$0.557718\pi$
$758$	19.0526	+	11.0000i	0.692020	+	0.399538i
$759$	−15.7916	−	8.47494i	−0.573197	−	0.307621i
$760$	−34.0511	+	7.51811i	−1.23516	+	0.272711i
$761$	22.5831			0.818638			0.409319	−	0.912391i	$-0.365766\pi$
$761$	22.5831			0.818638			0.409319	+	0.912391i	$0.365766\pi$
$762$	−6.38532	−	10.3070i	−0.231316	−	0.373385i
$763$	1.69589	+	6.32914i	0.0613952	+	0.229130i
$764$	−4.56092	+	2.63325i	−0.165008	+	0.0952676i
$765$	22.4646	−	25.4429i	0.812210	−	0.919889i
$766$		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	0.841309	−	0.540554i	$-0.181785\pi$
$769$	−1.31662	−	2.28046i	−0.0474787	−	0.0822355i	−0.888788	+	0.458318i	$0.848452\pi$
$770$	34.5147	+	9.24818i	1.24382	+	0.333281i
$771$	16.6662	−	5.02506i	0.600220	−	0.180973i
$772$		−	38.5330i		−	1.38683i
$773$	−23.7234	−	6.35667i	−0.853272	−	0.228634i	−0.194432	−	0.980916i	$-0.562286\pi$
$773$	−23.7234	−	6.35667i	−0.853272	−	0.228634i	−0.658841	+	0.752283i	$0.728953\pi$
$774$	−33.7344	+	2.09715i	−1.21256	+	0.0753806i
$775$	−15.4749	−	26.8034i	−0.555876	−	0.962806i
$776$	27.1836	−	7.28381i	0.975833	−	0.261474i
$777$	−1.76310	−	2.84596i	−0.0632510	−	0.102098i
$778$		−	6.10025i		−	0.218705i
$779$	−11.4215	+	2.52174i	−0.409217	+	0.0903507i
$780$	−13.2665	−	44.0000i	−0.475017	−	1.57545i
$781$	4.99012	+	18.6234i	0.178560	+	0.666396i
$782$	−3.39177	−	12.6583i	−0.121290	−	0.452659i
$783$	−1.89807	+	1.34570i	−0.0678315	+	0.0480913i
$784$	−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	$0.922611\pi$
$788$	−6.82024	+	25.4535i	−0.242961	+	0.906743i
$789$	−14.3468	−	13.4826i	−0.510758	−	0.479992i
$790$	−26.5330			−0.944002
$791$		−	3.89975i		−	0.138659i
$792$	−16.8769	+	33.9347i	−0.599693	+	1.20582i
$793$	49.5942	+	28.6332i	1.76114	+	1.01680i
$794$	−24.7103	+	14.2665i	−0.876936	+	0.506299i
$795$	−12.0954	+	51.4829i	−0.428981	+	1.82591i
$796$	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	$0.693901\pi$
$798$	−15.3014	+	14.8952i	−0.541665	+	0.527283i
$799$			8.00000i			0.283020i
$800$	16.3923	−	4.39230i	0.579555	−	0.155291i
$801$	−2.46943	−	39.7228i	−0.0872532	−	1.40354i
$802$	−9.38242	+	35.0157i	−0.331305	+	1.23645i
$803$	−15.3943	−	57.4524i	−0.543254	−	2.02745i
$804$	−0.984556	−	31.7053i	−0.0347226	−	1.11816i
$805$	9.26650	+	9.26650i	0.326601	+	0.326601i
$806$	68.4327			2.41044
$807$	30.1549	−	0.936411i	1.06150	−	0.0329632i
$808$	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
$811$	−29.9841	−	8.03421i	−1.05288	−	0.282119i	−0.309441	−	0.950919i	$-0.600142\pi$
$811$	−29.9841	−	8.03421i	−1.05288	−	0.282119i	−0.743443	+	0.668799i	$0.766809\pi$
$812$	−0.463571	−	1.73007i	−0.0162681	−	0.0607136i
$813$	11.8224	+	11.1103i	0.414630	+	0.389655i
$814$	−5.89662	+	1.57999i	−0.206676	+	0.0553788i
$815$	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
$819$	−21.0961	−	18.6267i	−0.737158	−	0.650869i
$820$	14.6622	−	3.92873i	0.512027	−	0.137197i
$821$	−36.7457	−	9.84599i	−1.28244	−	0.343627i	−0.447653	−	0.894207i	$-0.647740\pi$
$821$	−36.7457	−	9.84599i	−1.28244	−	0.343627i	−0.834782	+	0.550580i	$0.814407\pi$
$822$	−6.90616	+	4.27844i	−0.240880	+	0.149228i
$823$	8.15831	+	14.1306i	0.284381	+	0.492562i	0.972459	−	0.233075i	$-0.0748786\pi$
$823$	8.15831	+	14.1306i	0.284381	+	0.492562i	−0.688078	+	0.725637i	$0.741545\pi$
$824$	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
$827$	2.13821	−	7.97989i	0.0743527	−	0.277488i	−0.918733	−	0.394879i	$-0.870786\pi$
$827$	2.13821	−	7.97989i	0.0743527	−	0.277488i	0.993086	+	0.117391i	$0.0374531\pi$
$828$	−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	$0.983840\pi$
$830$	−6.08819	+	22.7214i	−0.211324	+	0.788673i
$831$	−20.1022	−	32.4485i	−0.697337	−	1.12563i
$832$	−9.71175	+	36.2447i	−0.336694	+	1.25656i
$833$	−10.3923	−	6.00000i	−0.360072	−	0.207888i
$834$	−2.21172	+	9.41393i	−0.0765855	+	0.325978i
$835$	−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	$-0.229097\pi$
$839$	16.1369	+	9.31662i	0.557107	+	0.321646i	−0.194877	+	0.980828i	$0.562431\pi$
$840$	18.9783	−	20.1947i	0.654812	−	0.696783i
$841$	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
$845$	6.58846	−	24.5885i	0.226650	−	0.845869i
$846$	8.04410	−	2.70047i	0.276562	−	0.0928440i
$847$		−	17.8997i		−	0.615043i
$848$	30.5330	−	30.5330i	1.04851	−	1.04851i
$849$	1.20060	+	38.6626i	0.0412046	+	1.32690i
$850$	4.39230	+	16.3923i	0.150655	+	0.562251i
$851$	−2.16259	−	0.579464i	−0.0741325	−	0.0198638i
$852$	14.5569	+	3.42001i	0.498710	+	0.117167i
$853$	−10.8597	+	2.90986i	−0.371830	+	0.0996316i	−0.439895	−	0.898049i	$-0.644984\pi$
$853$	−10.8597	+	2.90986i	−0.371830	+	0.0996316i	0.0680647	+	0.997681i	$0.478318\pi$
$854$			34.5330i			1.18169i
$855$	−31.7010	+	19.0538i	−1.08415	+	0.651626i
$856$			55.7995i			1.90719i
$857$	−21.6082	+	37.4265i	−0.738122	+	1.27846i	0.215219	+	0.976566i	$0.430954\pi$
$857$	−21.6082	+	37.4265i	−0.738122	+	1.27846i	−0.953340	+	0.301898i	$0.902380\pi$
$858$	−43.6236	+	27.0253i	−1.48928	+	0.922628i
$859$	11.6455	+	3.12039i	0.397338	+	0.106466i	0.451954	−	0.892041i	$-0.350727\pi$
$859$	11.6455	+	3.12039i	0.397338	+	0.106466i	−0.0546166	+	0.998507i	$0.517394\pi$
$860$	22.5330	−	39.0283i	0.768369	−	1.33085i
$861$	6.36572	−	6.77375i	0.216943	−	0.230849i
$862$	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	$0.444368\pi$
$864$	17.0005	+	23.9788i	0.578370	+	0.815775i
$865$	−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
$869$	7.66819	+	28.6181i	0.260125	+	0.970801i
$870$	−0.0962897	−	3.10078i	−0.00326453	−	0.105126i
$871$	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
$876$	−44.9074	−	10.5506i	−1.51728	−	0.356471i
$877$	−4.16052	−	15.5273i	−0.140491	−	0.524319i	−0.999915	−	0.0130552i	$-0.995844\pi$
$877$	−4.16052	−	15.5273i	−0.140491	−	0.524319i	0.859424	−	0.511263i	$-0.170822\pi$
$878$	25.0210	+	6.70435i	0.844417	+	0.226261i
$879$	13.1530	−	8.14843i	0.443640	−	0.274840i
$880$	−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
$883$	2.71767	−	10.1425i	0.0914569	−	0.341322i	−0.905002	−	0.425408i	$-0.860131\pi$
$883$	2.71767	−	10.1425i	0.0914569	−	0.341322i	0.996458	+	0.0840865i	$0.0267972\pi$
$884$	−36.2447	−	9.71175i	−1.21904	−	0.326642i
$885$	−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	$-0.469816\pi$
$887$	29.9065	−	17.2665i	1.00416	−	0.579752i	0.909477	+	0.415755i	$0.136483\pi$
$888$	−1.08286	+	4.60907i	−0.0363384	+	0.154670i
$889$	8.57343	−	4.94987i	0.287544	−	0.166013i
$890$	45.9565	+	26.5330i	1.54047	+	0.889388i
$891$	−5.51494	+	39.8187i	−0.184757	+	1.33398i
$892$	−49.8997			−1.67077
$893$	2.62867	−	8.31205i	0.0879651	−	0.278152i
$894$	−4.36675	+	1.31662i	−0.146046	+	0.0440345i
$895$	41.9440	+	24.2164i	1.40203	+	0.809464i
$896$	−21.8564	+	5.85641i	−0.730171	+	0.195649i
$897$	−18.8113	+	0.584153i	−0.628090	+	0.0195043i
$898$	42.3468	−	11.3468i	1.41313	−	0.378647i
$899$	4.46212	+	1.19562i	0.148820	+	0.0398762i
$900$	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
$903$	−0.856572	−	27.5839i	−0.0285049	−	0.917934i
$904$	−3.89975	+	3.89975i	−0.129704	+	0.129704i
$905$	−21.2665			−0.706922
$906$	−1.84113	−	59.2892i	−0.0611674	−	1.96975i
$907$	7.62859	+	28.4703i	0.253303	+	0.945340i	0.969027	+	0.246956i	$0.0794304\pi$
$907$	7.62859	+	28.4703i	0.253303	+	0.945340i	−0.715724	+	0.698384i	$0.753903\pi$
$908$	−13.5246	+	50.4745i	−0.448829	+	1.67505i
$909$	31.8036	+	28.0808i	1.05486	+	0.931381i
$910$	36.2447	−	9.71175i	1.20150	−	0.321941i
$911$	6.41688			0.212601			0.106300	−	0.994334i	$-0.466100\pi$
$911$	6.41688			0.212601			0.106300	+	0.994334i	$0.466100\pi$
$912$	30.1966	+	0.406267i	0.999910	+	0.0134528i
$913$	26.2665			0.869294
$914$	−4.09808	+	1.09808i	−0.135552	+	0.0363211i
$915$	−13.6800	+	58.2275i	−0.452248	+	1.92494i
$916$	33.6496	+	9.01640i	1.11182	+	0.297910i
$917$	5.47203	+	20.4219i	0.180702	+	0.674391i
$918$	−23.9788	+	17.0005i	−0.791418	+	0.561101i
$919$	−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
$921$	26.4211	−	0.820463i	0.870604	−	0.0270352i
$922$	−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
$925$	2.80052	+	0.750398i	0.0920807	+	0.0246729i
$926$	44.1453	−	11.8287i	1.45071	−	0.388715i
$927$	4.52178	+	2.24883i	0.148515	+	0.0738614i
$928$	−1.26650	+	2.19364i	−0.0415749	+	0.0720098i
$929$	44.6289	+	25.7665i	1.46423	+	0.845371i	0.999203	−	0.0399268i	$-0.0127125\pi$
$929$	44.6289	+	25.7665i	1.46423	+	0.845371i	0.465024	+	0.885298i	$0.346046\pi$
$930$	20.6332	+	68.4327i	0.676591	+	2.24400i
$931$	8.82616	+	9.64878i	0.289266	+	0.316226i
$932$			31.2665i			1.02417i
$933$	−8.55001	+	36.3922i	−0.279915	+	1.19143i
$934$	−10.5797	−	6.10819i	−0.346178	−	0.199866i
$935$	43.7629	−	25.2665i	1.43120	−	0.826303i
$936$	2.46943	+	39.7228i	0.0807160	+	1.29838i
$937$	−32.7787	+	18.9248i	−1.07083	+	0.618247i	−0.928409	−	0.371559i	$-0.878823\pi$
$937$	−32.7787	+	18.9248i	−1.07083	+	0.618247i	−0.142425	+	0.989806i	$0.545490\pi$
$938$	25.8997			0.845657
$939$	17.1913	−	5.18338i	0.561017	−	0.169153i
$940$	−2.92820	+	10.9282i	−0.0955075	+	0.356439i
$941$	−14.9703	+	55.8701i	−0.488019	+	1.82131i	0.0780421	+	0.996950i	$0.475133\pi$
$941$	−14.9703	+	55.8701i	−0.488019	+	1.82131i	−0.566062	+	0.824363i	$0.691534\pi$
$942$	23.0501	−	6.94987i	0.751014	−	0.226439i
$943$		−	6.21637i		−	0.202433i
$944$	−1.69589	+	6.32914i	−0.0551964	+	0.205996i
$945$	12.2660	−	26.7123i	0.399012	−	0.868951i
$946$	−48.6075	−	13.0243i	−1.58036	−	0.423457i
$947$	10.3096	+	38.4758i	0.335016	+	1.25030i	0.903852	+	0.427845i	$0.140727\pi$
$947$	10.3096	+	38.4758i	0.335016	+	1.25030i	−0.568836	+	0.822451i	$0.692606\pi$
$948$	22.3692	+	5.25544i	0.726517	+	0.170689i
$949$	−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
$952$	−5.85641	−	21.8564i	−0.189807	−	0.708370i
$953$	−15.9248	+	27.5826i	−0.515855	+	0.893487i	0.483975	+	0.875082i	$0.339192\pi$
$953$	−15.9248	+	27.5826i	−0.515855	+	0.893487i	−0.999831	+	0.0184059i	$0.994141\pi$
$954$	20.3946	−	41.0080i	0.660300	−	1.32768i
$955$	−1.92767	−	7.19417i	−0.0623780	−	0.232798i
$956$	−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
$960$	−39.1730	+	1.21645i	−1.26430	+	0.0392608i
$961$	−75.4327			−2.43331
$962$	−4.53300	+	4.53300i	−0.146150	+	0.146150i
$963$	18.8356	+	56.1071i	0.606968	+	1.80802i
$964$	−35.6510	−	20.5831i	−1.14824	−	0.662938i
$965$	52.6371	+	14.1041i	1.69445	+	0.454026i
$966$	−5.97688	−	9.64774i	−0.192303	−	0.310411i
$967$	−30.6913	+	53.1589i	−0.986966	+	1.70948i	−0.354115	+	0.935202i	$0.615218\pi$
$967$	−30.6913	+	53.1589i	−0.986966	+	1.70948i	−0.632851	+	0.774273i	$0.718116\pi$
$968$	−17.8997	+	17.8997i	−0.575320	+	0.575320i
$969$	−0.406267	+	30.1966i	−0.0130512	+	0.970055i
$970$			39.7995i			1.27788i
$971$	−44.2246	+	11.8500i	−1.41924	+	0.380283i	−0.885213	−	0.465186i	$-0.845987\pi$
$971$	−44.2246	+	11.8500i	−1.41924	+	0.380283i	−0.534024	+	0.845470i	$0.679321\pi$
$972$	25.1885	+	18.3723i	0.807921	+	0.589291i
$973$	−7.62669	−	2.04357i	−0.244500	−	0.0655137i
$974$	−8.90050	−	33.2171i	−0.285190	−	1.06435i
$975$	24.3604	−	0.756471i	0.780156	−	0.0242265i
$976$	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	$-0.0465021\pi$
$978$	−16.1115	+	17.1442i	−0.515189	+	0.548211i
$979$	15.3364	−	57.2361i	0.490153	−	1.82927i
$980$	−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	$-0.437201\pi$
$983$	−17.4073	−	10.0501i	−0.555208	−	0.320549i	−0.751220	+	0.660052i	$0.770534\pi$
$984$	−13.1395	+	0.408025i	−0.418871	+	0.0130073i
$985$	−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
$990$	−40.1783	−	35.4752i	−1.27695	−	1.12747i
$991$	33.4574	+	19.3166i	1.06281	+	0.613613i	0.926208	−	0.377013i	$-0.123049\pi$
$991$	33.4574	+	19.3166i	1.06281	+	0.613613i	0.136601	+	0.990626i	$0.456382\pi$
$992$	15.1046	−	56.3711i	0.479571	−	1.78978i
$993$	4.59860	−	2.84888i	0.145932	−	0.0904064i
$994$	−3.15999	+	11.7932i	−0.100229	+	0.374059i
$995$	−9.89975	+	9.89975i	−0.313843	+	0.313843i
$996$	9.63325	−	17.9499i	0.305241	−	0.568764i
$997$	14.3725	−	53.6390i	0.455183	−	1.69877i	−0.232367	−	0.972628i	$-0.574647\pi$
$997$	14.3725	−	53.6390i	0.455183	−	1.69877i	0.687550	−	0.726137i	$-0.258686\pi$
$998$	−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.11.1	yes	8
3.2	odd	2		912.2.bv.a.11.1	✓	8
16.3	odd	4		912.2.bv.a.467.1	yes	8
19.7	even	3	inner	912.2.bv.b.539.2	yes	8
48.35	even	4	inner	912.2.bv.b.467.2	yes	8
57.26	odd	6		912.2.bv.a.539.1	yes	8
304.83	odd	12		912.2.bv.a.83.1	yes	8
912.83	even	12	inner	912.2.bv.b.83.1	yes	8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
912.2.bv.a.11.1	✓	8	3.2	odd	2
912.2.bv.a.83.1	yes	8	304.83	odd	12
912.2.bv.a.467.1	yes	8	16.3	odd	4
912.2.bv.a.539.1	yes	8	57.26	odd	6
912.2.bv.b.11.1	yes	8	1.1	even	1	trivial
912.2.bv.b.83.1	yes	8	912.83	even	12	inner
912.2.bv.b.467.2	yes	8	48.35	even	4	inner
912.2.bv.b.539.2	yes	8	19.7	even	3	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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

\(f(q)\)	\(=\)	\(q+(-0.366025 - 1.36603i) q^{2} +(-1.68614 - 0.396143i) q^{3} +(-1.73205 + 1.00000i) q^{4} +(-0.732051 - 2.73205i) q^{5} +(0.0760282 + 2.44831i) q^{6} -2.00000 q^{7} +(2.00000 + 2.00000i) q^{8} +(2.68614 + 1.33591i) q^{9} +O(q^{10})\)	\(q+(-0.366025 - 1.36603i) q^{2} +(-1.68614 - 0.396143i) q^{3} +(-1.73205 + 1.00000i) q^{4} +(-0.732051 - 2.73205i) q^{5} +(0.0760282 + 2.44831i) q^{6} -2.00000 q^{7} +(2.00000 + 2.00000i) q^{8} +(2.68614 + 1.33591i) q^{9} +(-3.46410 + 2.00000i) q^{10} +(3.15831 + 3.15831i) q^{11} +(3.31662 - 1.00000i) q^{12} +(4.53059 + 1.21397i) q^{13} +(0.732051 + 2.73205i) q^{14} +(0.152056 + 4.89662i) q^{15} +(2.00000 - 3.46410i) q^{16} +(3.46410 + 2.00000i) q^{17} +(0.841688 - 4.15831i) q^{18} +(-2.94205 - 3.21626i) q^{19} +(4.00000 + 4.00000i) q^{20} +(3.37228 + 0.792287i) q^{21} +(3.15831 - 5.47036i) q^{22} +(2.00626 - 1.15831i) q^{23} +(-2.57999 - 4.16457i) q^{24} +(-2.59808 + 1.50000i) q^{25} -6.63325i q^{26} +(-4.00000 - 3.31662i) q^{27} +(3.46410 - 2.00000i) q^{28} +(0.115893 - 0.432518i) q^{29} +(6.63325 - 2.00000i) q^{30} +10.3166i q^{31} +(-5.46410 - 1.46410i) q^{32} +(-4.07421 - 6.57650i) q^{33} +(1.46410 - 5.46410i) q^{34} +(1.46410 + 5.46410i) q^{35} +(-5.98844 + 0.372281i) 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} +(-0.152056 - 4.89662i) q^{42} +(-2.06191 - 7.69516i) q^{43} +(-8.62867 - 2.31205i) q^{44} +(1.68338 - 8.31662i) q^{45} +(-2.31662 - 2.31662i) 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} +(-9.06119 + 2.42794i) q^{52} +(10.4272 + 2.79396i) q^{53} +(-3.06649 + 6.67807i) q^{54} +(6.31662 - 10.9407i) q^{55} +(-4.00000 - 4.00000i) q^{56} +(3.68662 + 6.58854i) q^{57} -0.633250 q^{58} +(-1.58228 + 0.423972i) q^{59} +(-5.15999 - 8.32914i) q^{60} +(11.7932 + 3.15999i) q^{61} +(14.0928 - 3.77615i) q^{62} +(-5.37228 - 2.67181i) q^{63} +8.00000i q^{64} -13.2665i q^{65} +(-7.49241 + 7.97265i) q^{66} +(2.36999 - 8.84493i) q^{67} -8.00000 q^{68} +(-3.84169 + 1.15831i) q^{69} +(6.92820 - 4.00000i) q^{70} +(3.73831 + 2.15831i) q^{71} +(2.70047 + 8.04410i) q^{72} +(-11.5325 - 6.65831i) q^{73} +(-0.683375 + 1.18364i) q^{74} +(4.97494 - 1.50000i) q^{75} +(8.31205 + 2.62867i) q^{76} +(-6.31662 - 6.31662i) q^{77} +(-2.62772 + 11.1846i) q^{78} +(5.74456 + 3.31662i) q^{79} +(-10.9282 - 2.92820i) q^{80} +(5.43070 + 7.17687i) q^{81} +(-3.66556 - 0.982183i) q^{82} +(4.15831 - 4.15831i) q^{83} +(-6.63325 + 2.00000i) q^{84} +(2.92820 - 10.9282i) q^{85} +(-9.75707 + 5.63325i) q^{86} +(-0.366750 + 0.683375i) q^{87} +12.6332i q^{88} +(-6.63325 - 11.4891i) q^{89} +(-11.9769 + 0.744563i) q^{90} +(-9.06119 - 2.42794i) q^{91} +(-2.31662 + 4.01251i) q^{92} +(4.08686 - 17.3953i) 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} +(1.09808 + 4.09808i) q^{98} +(4.26446 + 12.7029i) 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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