LMFDB - Embedded newform 252.2.bj.b.103.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(103,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 2, 5]))

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

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

chi := DirichletCharacter("252.103");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.bj (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$42$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			103.14
Character	$\chi$	$=$	252.103
Dual form			252.2.bj.b.115.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.615190 + 1.27340i) q^{2} +(1.73108 + 0.0580485i) q^{3} +(-1.24308 - 1.56676i) q^{4} +(1.66094 - 0.958945i) q^{5} +(-1.13886 + 2.16864i) q^{6} +(-0.708998 - 2.54898i) q^{7} +(2.75984 - 0.619084i) q^{8} +(2.99326 + 0.200973i) q^{9} +O(q^{10})$	\(q+(-0.615190 + 1.27340i) q^{2} +(1.73108 + 0.0580485i) q^{3} +(-1.24308 - 1.56676i) q^{4} +(1.66094 - 0.958945i) q^{5} +(-1.13886 + 2.16864i) q^{6} +(-0.708998 - 2.54898i) q^{7} +(2.75984 - 0.619084i) q^{8} +(2.99326 + 0.200973i) q^{9} +(0.199325 + 2.70497i) q^{10} +(-0.178701 - 0.103173i) q^{11} +(-2.06093 - 2.78435i) q^{12} +(-0.960331 - 0.554447i) q^{13} +(3.68204 + 0.665272i) q^{14} +(2.93088 - 1.56359i) q^{15} +(-0.909486 + 3.89523i) q^{16} +(4.54650 - 2.62492i) q^{17} +(-2.09734 + 3.68797i) q^{18} +(-2.49766 + 4.32608i) q^{19} +(-3.56713 - 1.41025i) q^{20} +(-1.07937 - 4.45365i) q^{21} +(0.241315 - 0.164086i) q^{22} +(-4.39044 + 2.53482i) q^{23} +(4.81344 - 0.911478i) q^{24} +(-0.660849 + 1.14462i) q^{25} +(1.29682 - 0.881793i) q^{26} +(5.16990 + 0.521654i) q^{27} +(-3.11231 + 4.27943i) q^{28} +(1.97233 + 3.41618i) q^{29} +(0.188027 + 4.69409i) q^{30} -5.08742 q^{31} +(-4.40067 - 3.55444i) q^{32} +(-0.303356 - 0.188974i) q^{33} +(0.545611 + 7.40432i) q^{34} +(-3.62194 - 3.55382i) q^{35} +(-3.40600 - 4.93955i) q^{36} +(-2.74238 + 4.74993i) q^{37} +(-3.97229 - 5.84188i) q^{38} +(-1.63022 - 1.01554i) q^{39} +(3.99027 - 3.67480i) q^{40} +(7.57882 + 4.37563i) q^{41} +(6.33528 + 1.36538i) q^{42} +(-0.498841 + 0.288006i) q^{43} +(0.0604926 + 0.408234i) q^{44} +(5.16435 - 2.53657i) q^{45} +(-0.526883 - 7.15017i) q^{46} +5.99076 q^{47} +(-1.80050 + 6.69016i) q^{48} +(-5.99464 + 3.61445i) q^{49} +(-1.05101 - 1.54568i) q^{50} +(8.02271 - 4.28002i) q^{51} +(0.325085 + 2.19383i) q^{52} +(-3.76097 - 6.51419i) q^{53} +(-3.84474 + 6.26242i) q^{54} -0.395749 q^{55} +(-3.53476 - 6.59587i) q^{56} +(-4.57477 + 7.34380i) q^{57} +(-5.56351 + 0.409965i) q^{58} -10.7937 q^{59} +(-6.09311 - 2.64832i) q^{60} -10.2152i q^{61} +(3.12973 - 6.47831i) q^{62} +(-1.60994 - 7.77226i) q^{63} +(7.23347 - 3.41715i) q^{64} -2.12674 q^{65} +(0.427260 - 0.270038i) q^{66} -8.46744i q^{67} +(-9.76430 - 3.86028i) q^{68} +(-7.74733 + 4.13311i) q^{69} +(6.75361 - 2.42589i) q^{70} +3.72234i q^{71} +(8.38535 - 1.29843i) q^{72} +(-3.45583 + 1.99523i) q^{73} +(-4.36147 - 6.41425i) q^{74} +(-1.21042 + 1.94307i) q^{75} +(9.88275 - 1.46444i) q^{76} +(-0.136288 + 0.528655i) q^{77} +(2.29608 - 1.45117i) q^{78} -17.4820i q^{79} +(2.22471 + 7.34190i) q^{80} +(8.91922 + 1.20313i) q^{81} +(-10.2343 + 6.95901i) q^{82} +(6.42780 + 11.1333i) q^{83} +(-5.63606 + 7.22736i) q^{84} +(5.03431 - 8.71968i) q^{85} +(-0.0598644 - 0.812401i) q^{86} +(3.21596 + 6.02816i) q^{87} +(-0.557059 - 0.174110i) q^{88} +(-2.60109 - 1.50174i) q^{89} +(0.0530037 + 8.13675i) q^{90} +(-0.732405 + 2.84097i) q^{91} +(9.42914 + 3.72778i) q^{92} +(-8.80672 - 0.295317i) q^{93} +(-3.68545 + 7.62862i) q^{94} +9.58049i q^{95} +(-7.41158 - 6.40847i) q^{96} +(-7.35194 + 4.24465i) q^{97} +(-0.914788 - 9.85714i) q^{98} +(-0.514163 - 0.344738i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9}+O(q^{10}) $ 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9	$ 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9} - 18 q^{10} - 6 q^{12} + 18 q^{13} + 14 q^{14} + 14 q^{16} + 6 q^{17} - 10 q^{18} - 24 q^{20} + 4 q^{21} + 6 q^{22} - 6 q^{24} + 16 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 11 q^{30} - 18 q^{32} - 18 q^{33} - 24 q^{34} - 38 q^{36} + 2 q^{37} + 33 q^{38} + 6 q^{40} + 6 q^{41} - 38 q^{42} - 13 q^{44} - 54 q^{45} + 10 q^{46} + 9 q^{48} - 28 q^{49} - 17 q^{50} - 27 q^{52} - 2 q^{53} - 39 q^{54} + 58 q^{56} + 6 q^{57} - 13 q^{58} - 31 q^{60} - 8 q^{64} - 100 q^{65} + 30 q^{66} - 18 q^{68} - 18 q^{69} - 19 q^{70} + 26 q^{72} + 30 q^{73} - 23 q^{74} - 2 q^{77} + 15 q^{78} + 3 q^{80} - 32 q^{81} - 18 q^{82} + 23 q^{84} - 50 q^{85} - 9 q^{86} + q^{88} - 102 q^{89} - 39 q^{90} + 28 q^{92} - 36 q^{93} + 63 q^{96} + 6 q^{97} + 21 q^{98}+O(q^{100}) $ 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9 - 18 * q^10 - 6 * q^12 + 18 * q^13 + 14 * q^14 + 14 * q^16 + 6 * q^17 - 10 * q^18 - 24 * q^20 + 4 * q^21 + 6 * q^22 - 6 * q^24 + 16 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 11 * q^30 - 18 * q^32 - 18 * q^33 - 24 * q^34 - 38 * q^36 + 2 * q^37 + 33 * q^38 + 6 * q^40 + 6 * q^41 - 38 * q^42 - 13 * q^44 - 54 * q^45 + 10 * q^46 + 9 * q^48 - 28 * q^49 - 17 * q^50 - 27 * q^52 - 2 * q^53 - 39 * q^54 + 58 * q^56 + 6 * q^57 - 13 * q^58 - 31 * q^60 - 8 * q^64 - 100 * q^65 + 30 * q^66 - 18 * q^68 - 18 * q^69 - 19 * q^70 + 26 * q^72 + 30 * q^73 - 23 * q^74 - 2 * q^77 + 15 * q^78 + 3 * q^80 - 32 * q^81 - 18 * q^82 + 23 * q^84 - 50 * q^85 - 9 * q^86 + q^88 - 102 * q^89 - 39 * q^90 + 28 * q^92 - 36 * q^93 + 63 * q^96 + 6 * q^97 + 21 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{6}\right)$	$-1$

Coefficient data

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

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

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

$2$	−0.615190	+	1.27340i	−0.435005	+	0.900428i
$2$	−0.615190	+	1.27340i	−0.435005	+	0.900428i
$3$	1.73108	+	0.0580485i	0.999438	+	0.0335143i
$3$	1.73108	+	0.0580485i	0.999438	+	0.0335143i
$4$	−1.24308	−	1.56676i	−0.621542	−	0.783381i
$5$	1.66094	−	0.958945i	0.742796	−	0.428853i	−0.0802892	−	0.996772i	$-0.525584\pi$
$5$	1.66094	−	0.958945i	0.742796	−	0.428853i	0.823085	+	0.567918i	$0.192251\pi$
$6$	−1.13886	+	2.16864i	−0.464938	+	0.885343i
$7$	−0.708998	−	2.54898i	−0.267976	−	0.963426i
$7$	−0.708998	−	2.54898i	−0.267976	−	0.963426i
$8$	2.75984	−	0.619084i	0.975752	−	0.218879i
$9$	2.99326	+	0.200973i	0.997754	+	0.0669910i
$10$	0.199325	+	2.70497i	0.0630320	+	0.855387i
$11$	−0.178701	−	0.103173i	−0.0538803	−	0.0311078i	0.472818	−	0.881160i	$-0.343237\pi$
$11$	−0.178701	−	0.103173i	−0.0538803	−	0.0311078i	−0.526698	+	0.850052i	$0.676570\pi$
$12$	−2.06093	−	2.78435i	−0.594938	−	0.803771i
$13$	−0.960331	−	0.554447i	−0.266348	−	0.153776i	0.360879	−	0.932613i	$-0.382477\pi$
$13$	−0.960331	−	0.554447i	−0.266348	−	0.153776i	−0.627227	+	0.778837i	$0.715810\pi$
$14$	3.68204	+	0.665272i	0.984066	+	0.177802i
$15$	2.93088	−	1.56359i	0.756751	−	0.403718i
$16$	−0.909486	+	3.89523i	−0.227372	+	0.973808i
$17$	4.54650	−	2.62492i	1.10269	−	0.636637i	0.165762	−	0.986166i	$-0.446992\pi$
$17$	4.54650	−	2.62492i	1.10269	−	0.636637i	0.936926	+	0.349529i	$0.113658\pi$
$18$	−2.09734	+	3.68797i	−0.494348	+	0.869264i
$19$	−2.49766	+	4.32608i	−0.573004	+	0.992471i	0.423252	+	0.906012i	$0.360889\pi$
$19$	−2.49766	+	4.32608i	−0.573004	+	0.992471i	−0.996255	+	0.0864592i	$0.972445\pi$
$20$	−3.56713	−	1.41025i	−0.797634	−	0.315342i
$21$	−1.07937	−	4.45365i	−0.235537	−	0.971865i
$22$	0.241315	−	0.164086i	0.0514486	−	0.0349833i
$23$	−4.39044	+	2.53482i	−0.915469	+	0.528546i	−0.882187	−	0.470899i	$-0.843929\pi$
$23$	−4.39044	+	2.53482i	−0.915469	+	0.528546i	−0.0332825	+	0.999446i	$0.510596\pi$
$24$	4.81344	−	0.911478i	0.982539	−	0.186055i
$25$	−0.660849	+	1.14462i	−0.132170	+	0.228925i
$26$	1.29682	−	0.881793i	0.254327	−	0.172934i
$27$	5.16990	+	0.521654i	0.994948	+	0.100392i
$28$	−3.11231	+	4.27943i	−0.588171	+	0.808737i
$29$	1.97233	+	3.41618i	0.366253	+	0.634369i	0.988976	−	0.148073i	$-0.0473072\pi$
$29$	1.97233	+	3.41618i	0.366253	+	0.634369i	−0.622724	+	0.782442i	$0.713974\pi$
$30$	0.188027	+	4.69409i	0.0343288	+	0.857019i
$31$	−5.08742			−0.913728			−0.456864	−	0.889537i	$-0.651027\pi$
$31$	−5.08742			−0.913728			−0.456864	+	0.889537i	$0.651027\pi$
$32$	−4.40067	−	3.55444i	−0.777937	−	0.628343i
$33$	−0.303356	−	0.188974i	−0.0528075	−	0.0328961i
$34$	0.545611	+	7.40432i	0.0935715	+	1.26983i
$35$	−3.62194	−	3.55382i	−0.612220	−	0.600706i
$36$	−3.40600	−	4.93955i	−0.567666	−	0.823259i
$37$	−2.74238	+	4.74993i	−0.450844	+	0.780884i	−0.998439	−	0.0558592i	$-0.982210\pi$
$37$	−2.74238	+	4.74993i	−0.450844	+	0.780884i	0.547595	+	0.836744i	$0.315544\pi$
$38$	−3.97229	−	5.84188i	−0.644390	−	0.947678i
$39$	−1.63022	−	1.01554i	−0.261044	−	0.162616i
$40$	3.99027	−	3.67480i	0.630917	−	0.581037i
$41$	7.57882	+	4.37563i	1.18361	+	0.683359i	0.956848	−	0.290590i	$-0.0938517\pi$
$41$	7.57882	+	4.37563i	1.18361	+	0.683359i	0.226765	+	0.973949i	$0.427185\pi$
$42$	6.33528	+	1.36538i	0.977555	+	0.210682i
$43$	−0.498841	+	0.288006i	−0.0760725	+	0.0439205i	−0.537554	−	0.843229i	$-0.680651\pi$
$43$	−0.498841	+	0.288006i	−0.0760725	+	0.0439205i	0.461481	+	0.887150i	$0.347318\pi$
$44$	0.0604926	+	0.408234i	0.00911960	+	0.0615436i
$45$	5.16435	−	2.53657i	0.769856	−	0.378129i
$46$	−0.526883	−	7.15017i	−0.0776847	−	1.05423i
$47$	5.99076			0.873842			0.436921	−	0.899500i	$-0.356069\pi$
$47$	5.99076			0.873842			0.436921	+	0.899500i	$0.356069\pi$
$48$	−1.80050	+	6.69016i	−0.259880	+	0.965641i
$49$	−5.99464	+	3.61445i	−0.856378	+	0.516350i
$50$	−1.05101	−	1.54568i	−0.148636	−	0.218593i
$51$	8.02271	−	4.28002i	1.12340	−	0.599323i
$52$	0.325085	+	2.19383i	0.0450811	+	0.304230i
$53$	−3.76097	−	6.51419i	−0.516609	−	0.894793i	−0.999814	−	0.0192859i	$-0.993861\pi$
$53$	−3.76097	−	6.51419i	−0.516609	−	0.894793i	0.483205	−	0.875507i	$-0.339473\pi$
$54$	−3.84474	+	6.26242i	−0.523203	+	0.852208i
$55$	−0.395749			−0.0533628
$56$	−3.53476	−	6.59587i	−0.472352	−	0.881410i
$57$	−4.57477	+	7.34380i	−0.605944	+	0.972710i
$58$	−5.56351	+	0.409965i	−0.730525	+	0.0538311i
$59$	−10.7937			−1.40522			−0.702608	−	0.711577i	$-0.747981\pi$
$59$	−10.7937			−1.40522			−0.702608	+	0.711577i	$0.747981\pi$
$60$	−6.09311	−	2.64832i	−0.786618	−	0.341897i
$61$		−	10.2152i		−	1.30793i	−0.756526	−	0.653964i	$-0.773105\pi$
$61$		−	10.2152i		−	1.30793i	0.756526	−	0.653964i	$-0.226895\pi$
$62$	3.12973	−	6.47831i	0.397476	−	0.822746i
$63$	−1.60994	−	7.77226i	−0.202833	−	0.979213i
$64$	7.23347	−	3.41715i	0.904184	−	0.427144i
$65$	−2.12674			−0.263789
$66$	0.427260	−	0.270038i	0.0525921	−	0.0332394i
$67$		−	8.46744i		−	1.03446i	−0.855846	−	0.517231i	$-0.826963\pi$
$67$		−	8.46744i		−	1.03446i	0.855846	−	0.517231i	$-0.173037\pi$
$68$	−9.76430	−	3.86028i	−1.18410	−	0.468128i
$69$	−7.74733	+	4.13311i	−0.932669	+	0.497568i
$70$	6.75361	−	2.42589i	0.807211	−	0.289950i
$71$			3.72234i			0.441761i	0.975301	+	0.220880i	$0.0708931\pi$
$71$			3.72234i			0.441761i	−0.975301	+	0.220880i	$0.929107\pi$
$72$	8.38535	−	1.29843i	0.988223	−	0.153021i
$73$	−3.45583	+	1.99523i	−0.404474	+	0.233523i	−0.688413	−	0.725319i	$-0.741692\pi$
$73$	−3.45583	+	1.99523i	−0.404474	+	0.233523i	0.283938	+	0.958843i	$0.408359\pi$
$74$	−4.36147	−	6.41425i	−0.507011	−	0.745641i
$75$	−1.21042	+	1.94307i	−0.139768	+	0.224367i
$76$	9.88275	−	1.46444i	1.13363	−	0.167982i
$77$	−0.136288	+	0.528655i	−0.0155314	+	0.0602458i
$78$	2.29608	−	1.45117i	0.259980	−	0.164313i
$79$		−	17.4820i		−	1.96688i	−0.181241	−	0.983439i	$-0.558011\pi$
$79$		−	17.4820i		−	1.96688i	0.181241	−	0.983439i	$-0.441989\pi$
$80$	2.22471	+	7.34190i	0.248730	+	0.820849i
$81$	8.91922	+	1.20313i	0.991024	+	0.133681i
$82$	−10.2343	+	6.95901i	−1.13019	+	0.768494i
$83$	6.42780	+	11.1333i	0.705542	+	1.22204i	0.966495	+	0.256684i	$0.0826299\pi$
$83$	6.42780	+	11.1333i	0.705542	+	1.22204i	−0.260953	+	0.965352i	$0.584037\pi$
$84$	−5.63606	+	7.22736i	−0.614945	+	0.788570i
$85$	5.03431	−	8.71968i	0.546048	−	0.945782i
$86$	−0.0598644	−	0.812401i	−0.00645534	−	0.0876035i
$87$	3.21596	+	6.02816i	0.344787	+	0.646287i
$88$	−0.557059	−	0.174110i	−0.0593827	−	0.0185602i
$89$	−2.60109	−	1.50174i	−0.275716	−	0.159184i	0.355767	−	0.934575i	$-0.384220\pi$
$89$	−2.60109	−	1.50174i	−0.275716	−	0.159184i	−0.631482	+	0.775390i	$0.717553\pi$
$90$	0.0530037	+	8.13675i	0.00558708	+	0.857688i
$91$	−0.732405	+	2.84097i	−0.0767769	+	0.297815i
$92$	9.42914	+	3.72778i	0.983056	+	0.388648i
$93$	−8.80672	−	0.295317i	−0.913215	−	0.0306230i
$94$	−3.68545	+	7.62862i	−0.380126	+	0.786832i
$95$			9.58049i			0.982938i
$96$	−7.41158	−	6.40847i	−0.756441	−	0.654062i
$97$	−7.35194	+	4.24465i	−0.746477	+	0.430979i	−0.824419	−	0.565979i	$-0.808498\pi$
$97$	−7.35194	+	4.24465i	−0.746477	+	0.430979i	0.0779427	+	0.996958i	$0.475165\pi$
$98$	−0.914788	−	9.85714i	−0.0924076	−	0.995721i
$99$	−0.514163	−	0.344738i	−0.0516753	−	0.0346474i
$100$	2.61484	−	0.387470i	0.261484	−	0.0387470i
$101$	−11.6200	−	6.70881i	−1.15623	−	0.667552i	−0.205835	−	0.978587i	$-0.565991\pi$
$101$	−11.6200	−	6.70881i	−1.15623	−	0.667552i	−0.950399	+	0.311035i	$0.899324\pi$
$102$	0.514685	+	12.8491i	0.0509614	+	1.27225i
$103$	6.93932	+	12.0193i	0.683752	+	1.18429i	0.973827	+	0.227289i	$0.0729861\pi$
$103$	6.93932	+	12.0193i	0.683752	+	1.18429i	−0.290076	+	0.957004i	$0.593681\pi$
$104$	−2.99361	−	0.935662i	−0.293548	−	0.0917492i
$105$	−6.06357	−	6.36219i	−0.591743	−	0.620887i
$106$	10.6089	−	0.781748i	1.03042	−	0.0759301i
$107$	14.4769	+	8.35825i	1.39954	+	0.808023i	0.994344	−	0.106208i	$-0.0338710\pi$
$107$	14.4769	+	8.35825i	1.39954	+	0.808023i	0.405193	+	0.914231i	$0.367204\pi$
$108$	−5.60931	−	8.74846i	−0.539756	−	0.841821i
$109$	7.48608	+	12.9663i	0.717037	+	1.24194i	0.962169	+	0.272454i	$0.0878354\pi$
$109$	7.48608	+	12.9663i	0.717037	+	1.24194i	−0.245132	+	0.969490i	$0.578831\pi$
$110$	0.243461	−	0.503946i	0.0232131	−	0.0480493i
$111$	−5.02299	+	8.06332i	−0.476761	+	0.765336i
$112$	10.5737	−	0.443444i	0.999122	−	0.0419016i
$113$	−6.08126	+	10.5331i	−0.572077	+	0.990866i	0.424275	+	0.905533i	$0.360529\pi$
$113$	−6.08126	+	10.5331i	−0.572077	+	0.990866i	−0.996352	+	0.0853332i	$0.972805\pi$
$114$	−6.53722	−	10.3433i	−0.612267	−	0.968742i
$115$	−4.86151	+	8.42038i	−0.453338	+	0.785204i
$116$	2.90057	−	7.33677i	0.269311	−	0.681202i
$117$	−2.76309	−	1.85261i	−0.255448	−	0.171273i
$118$	6.64015	−	13.7446i	0.611276	−	1.26530i
$119$	−9.91434	−	9.72789i	−0.908846	−	0.891754i
$120$	7.12079	−	6.12974i	0.650036	−	0.559566i
$121$	−5.47871	−	9.48941i	−0.498065	−	0.862673i
$122$	13.0081	+	6.28431i	1.17770	+	0.568955i
$123$	12.8655	+	8.01450i	1.16005	+	0.722643i
$124$	6.32409	+	7.97078i	0.567920	+	0.715797i
$125$			12.1243i			1.08443i
$126$	10.8876	+	2.73132i	0.969945	+	0.243326i
$127$		−	14.4305i		−	1.28050i	−0.768168	−	0.640248i	$-0.778832\pi$
$127$		−	14.4305i		−	1.28050i	0.768168	−	0.640248i	$-0.221168\pi$
$128$	−0.0985633	+	11.3133i	−0.00871185	+	0.999962i
$129$	−0.880251	+	0.469604i	−0.0775018	+	0.0413463i
$130$	1.30835	−	2.70818i	0.114750	−	0.237523i
$131$	4.39711	+	7.61602i	0.384177	+	0.665414i	0.991655	−	0.128923i	$-0.0411518\pi$
$131$	4.39711	+	7.61602i	0.384177	+	0.665414i	−0.607478	+	0.794337i	$0.707819\pi$
$132$	0.0810199	+	0.710197i	0.00705188	+	0.0618147i
$133$	12.7980	+	3.29933i	1.10972	+	0.286088i
$134$	10.7824	+	5.20908i	0.931459	+	0.449996i
$135$	9.08714	−	4.09121i	0.782097	−	0.352116i
$136$	10.9226	−	10.0590i	0.936603	−	0.862555i
$137$	6.57381	−	11.3862i	0.561638	−	0.972786i	−0.435716	−	0.900084i	$-0.643505\pi$
$137$	6.57381	−	11.3862i	0.561638	−	0.972786i	0.997354	−	0.0727014i	$-0.0231620\pi$
$138$	−0.497019	−	12.4081i	−0.0423090	−	1.05625i
$139$	−4.02189	+	6.96611i	−0.341132	+	0.590858i	−0.984643	−	0.174579i	$-0.944144\pi$
$139$	−4.02189	+	6.96611i	−0.341132	+	0.590858i	0.643511	+	0.765437i	$0.277477\pi$
$140$	−1.06562	+	10.0924i	−0.0900616	+	0.852965i
$141$	10.3705	+	0.347755i	0.873352	+	0.0292863i
$142$	−4.74002	−	2.28995i	−0.397774	−	0.192168i
$143$	0.114408	+	0.198160i	0.00956727	+	0.0165710i
$144$	−3.50517	+	11.4767i	−0.292097	+	0.956389i
$145$	6.55186	+	3.78272i	0.544102	+	0.314137i
$146$	−0.414724	−	5.62809i	−0.0343228	−	0.465784i
$147$	−10.5870	+	5.90891i	−0.873202	+	0.487359i
$148$	10.8510	−	1.60792i	0.891948	−	0.132170i
$149$	−2.92630	−	5.06850i	−0.239732	−	0.415228i	0.720905	−	0.693034i	$-0.243726\pi$
$149$	−2.92630	−	5.06850i	−0.239732	−	0.415228i	−0.960637	+	0.277806i	$0.910393\pi$
$150$	−1.72966	−	2.73671i	−0.141226	−	0.223451i
$151$	−5.22942	−	3.01921i	−0.425564	−	0.245700i	0.271891	−	0.962328i	$-0.412351\pi$
$151$	−5.22942	−	3.01921i	−0.425564	−	0.245700i	−0.697455	+	0.716628i	$0.745684\pi$
$152$	−4.21495	+	13.4856i	−0.341878	+	1.09382i
$153$	14.1364	−	6.94335i	1.14286	−	0.561336i
$154$	−0.589345	−	0.498772i	−0.0474908	−	0.0401922i
$155$	−8.44991	+	4.87856i	−0.678713	+	0.391855i
$156$	0.435398	+	3.81657i	0.0348597	+	0.305570i
$157$			17.9067i			1.42911i	0.699577	+	0.714557i	$0.253372\pi$
$157$			17.9067i			1.42911i	−0.699577	+	0.714557i	$0.746628\pi$
$158$	22.2615	+	10.7547i	1.77103	+	0.855601i
$159$	−6.13239	−	11.4949i	−0.486330	−	0.911604i
$160$	−10.7178	−	1.68372i	−0.847315	−	0.133110i
$161$	9.57403	+	9.39397i	0.754539	+	0.740349i
$162$	−7.01907	+	10.6176i	−0.551471	+	0.834194i
$163$	0.321043	+	0.185354i	0.0251460	+	0.0145181i	0.512520	−	0.858675i	$-0.328712\pi$
$163$	0.321043	+	0.185354i	0.0251460	+	0.0145181i	−0.487374	+	0.873193i	$0.662045\pi$
$164$	−2.56553	−	17.3135i	−0.200334	−	1.35196i
$165$	−0.685072	−	0.0229726i	−0.0533328	−	0.00178842i
$166$	−18.1314	+	1.33607i	−1.40727	+	0.103699i
$167$	4.39096	−	7.60536i	0.339783	−	0.588521i	−0.644609	−	0.764512i	$-0.722980\pi$
$167$	4.39096	−	7.60536i	0.339783	−	0.588521i	0.984392	+	0.175992i	$0.0563132\pi$
$168$	−5.73606	−	11.6231i	−0.442547	−	0.896745i
$169$	−5.88518	−	10.1934i	−0.452706	−	0.784110i
$170$	8.00657	+	11.7749i	0.614076	+	0.903096i
$171$	−8.34559	+	12.4471i	−0.638203	+	0.951856i
$172$	1.07134	+	0.423550i	0.0816887	+	0.0322953i
$173$			6.47264i			0.492106i	0.969256	+	0.246053i	$0.0791337\pi$
$173$			6.47264i			0.492106i	−0.969256	+	0.246053i	$0.920866\pi$
$174$	−9.65467	+	0.386728i	−0.731919	+	0.0293178i
$175$	3.38617	+	0.872958i	0.255970	+	0.0659894i
$176$	0.564409	−	0.602247i	0.0425439	−	0.0453961i
$177$	−18.6847	−	0.626557i	−1.40443	−	0.0470949i
$178$	3.51248	−	2.38837i	0.263272	−	0.179016i
$179$	−2.55561	+	1.47548i	−0.191016	+	0.110283i	−0.592458	−	0.805601i	$-0.701842\pi$
$179$	−2.55561	+	1.47548i	−0.191016	+	0.110283i	0.401442	+	0.915884i	$0.368509\pi$
$180$	−10.3939	−	4.93815i	−0.774717	−	0.368068i
$181$		−	9.25656i		−	0.688035i	−0.938963	−	0.344017i	$-0.888212\pi$
$181$		−	9.25656i		−	0.688035i	0.938963	−	0.344017i	$-0.111788\pi$
$182$	−3.16712	−	2.68038i	−0.234762	−	0.198683i
$183$	0.592980	−	17.6834i	0.0438343	−	1.30719i
$184$	−10.5477	+	9.71376i	−0.777583	+	0.716108i
$185$			10.5192i			0.773383i
$186$	5.79386	−	11.0328i	0.424827	−	0.808963i
$187$	−1.08328			−0.0792175
$188$	−7.44702	−	9.38610i	−0.543130	−	0.684552i
$189$	−2.33576	−	13.5478i	−0.169901	−	0.985461i
$190$	−12.1998	−	5.89382i	−0.885065	−	0.427583i
$191$		−	11.6504i		−	0.842997i	−0.906829	−	0.421498i	$-0.861504\pi$
$191$		−	11.6504i		−	0.842997i	0.906829	−	0.421498i	$-0.138496\pi$
$192$	12.7201	−	5.49546i	0.917991	−	0.396601i
$193$	−22.3308			−1.60741			−0.803704	−	0.595030i	$-0.797140\pi$
$193$	−22.3308			−1.60741			−0.803704	+	0.595030i	$0.797140\pi$
$194$	−0.882284	−	11.9732i	−0.0633443	−	0.859626i
$195$	−3.68155	−	0.123454i	−0.263641	−	0.00884073i
$196$	13.1148	+	4.89912i	0.936773	+	0.349937i
$197$	−0.264829			−0.0188683			−0.00943413	−	0.999955i	$-0.503003\pi$
$197$	−0.264829			−0.0188683			−0.00943413	+	0.999955i	$0.503003\pi$
$198$	0.755296	−	0.442655i	0.0536765	−	0.0314581i
$199$	−3.40795	−	5.90274i	−0.241583	−	0.418434i	0.719582	−	0.694407i	$-0.244333\pi$
$199$	−3.40795	−	5.90274i	−0.241583	−	0.418434i	−0.961165	+	0.275973i	$0.911000\pi$
$200$	−1.11522	+	3.56810i	−0.0788580	+	0.252303i
$201$	0.491523	−	14.6578i	0.0346693	−	1.03388i
$202$	15.6915	−	10.6697i	1.10405	−	0.750717i
$203$	7.30941	−	7.44951i	0.513020	−	0.522853i
$204$	−16.6787	−	7.24925i	−1.16774	−	0.507549i
$205$	16.7840			1.17224
$206$	−19.5743	+	1.44239i	−1.36381	+	0.100496i
$207$	−13.6512	+	6.70502i	−0.948821	+	0.466031i
$208$	3.03311	−	3.23645i	0.210308	−	0.224407i
$209$	0.892669	−	0.515383i	0.0617472	−	0.0356498i
$210$	11.8318	−	3.80737i	0.816475	−	0.262734i
$211$	5.46499	+	3.15522i	0.376226	+	0.217214i	0.676175	−	0.736741i	$-0.263636\pi$
$211$	5.46499	+	3.15522i	0.376226	+	0.217214i	−0.299949	+	0.953955i	$0.596970\pi$
$212$	−5.53099	+	13.9902i	−0.379870	+	0.960853i
$213$	−0.216077	+	6.44367i	−0.0148053	+	0.441513i
$214$	−19.5494	+	13.2930i	−1.33637	+	0.908689i
$215$	−0.552364	+	0.956722i	−0.0376709	+	0.0652479i
$216$	14.5911	−	1.76092i	0.992796	−	0.119815i
$217$	3.60697	+	12.9678i	0.244857	+	0.880309i
$218$	−21.1166	+	1.55604i	−1.43020	+	0.105389i
$219$	−6.09813	+	3.25328i	−0.412074	+	0.219837i
$220$	0.491949	+	0.620044i	0.0331672	+	0.0418034i
$221$	−5.82152			−0.391598
$222$	−7.17771	−	11.3567i	−0.481737	−	0.762214i
$223$	0.851991	+	1.47569i	0.0570535	+	0.0988196i	0.893142	−	0.449776i	$-0.148496\pi$
$223$	0.851991	+	1.47569i	0.0570535	+	0.0988196i	−0.836088	+	0.548595i	$0.815163\pi$
$224$	−5.94016	+	13.7373i	−0.396893	+	0.917865i
$225$	−2.20813	+	3.29334i	−0.147209	+	0.219556i
$226$	−9.67164	−	14.2237i	−0.643348	−	0.946146i
$227$	4.85505	−	8.40919i	0.322241	−	0.558138i	−0.658709	−	0.752398i	$-0.728897\pi$
$227$	4.85505	−	8.40919i	0.322241	−	0.558138i	0.980950	+	0.194260i	$0.0622305\pi$
$228$	17.1928	−	1.96137i	1.13862	−	0.129895i
$229$	−4.91739	+	2.83906i	−0.324951	+	0.187610i	−0.653597	−	0.756843i	$-0.726741\pi$
$229$	−4.91739	+	2.83906i	−0.324951	+	0.187610i	0.328647	+	0.944453i	$0.393408\pi$
$230$	−7.73174	−	11.3708i	−0.509816	−	0.749766i
$231$	−0.266612	+	0.907232i	−0.0175418	+	0.0596915i
$232$	7.55823	+	8.20708i	0.496222	+	0.538821i
$233$	12.4702	−	21.5990i	0.816951	−	1.41500i	−0.0909673	−	0.995854i	$-0.528996\pi$
$233$	12.4702	−	21.5990i	0.816951	−	1.41500i	0.907918	−	0.419147i	$-0.137671\pi$
$234$	4.05893	−	2.37881i	0.265340	−	0.155508i
$235$	9.95031	−	5.74481i	0.649086	−	0.374750i
$236$	13.4174	+	16.9111i	0.873400	+	1.10082i
$237$	1.01480	−	30.2627i	0.0659186	−	1.96577i
$238$	18.4867	−	6.64040i	1.19831	−	0.430433i
$239$	−1.33556	−	0.771087i	−0.0863903	−	0.0498775i	0.456183	−	0.889886i	$-0.349216\pi$
$239$	−1.33556	−	0.771087i	−0.0863903	−	0.0498775i	−0.542573	+	0.840009i	$0.682550\pi$
$240$	3.42496	+	12.8385i	0.221080	+	0.828724i
$241$	16.1975	+	9.35164i	1.04337	+	0.602392i	0.920787	−	0.390065i	$-0.127548\pi$
$241$	16.1975	+	9.35164i	1.04337	+	0.602392i	0.122587	+	0.992458i	$0.460881\pi$
$242$	15.4542	−	1.13879i	0.993436	−	0.0732045i
$243$	15.3700	+	2.60046i	0.985987	+	0.166820i
$244$	−16.0049	+	12.6984i	−1.02461	+	0.812932i
$245$	−6.49070	+	11.7519i	−0.414675	+	0.750803i
$246$	−18.1204	+	11.4525i	−1.15531	+	0.730184i
$247$	4.79717	−	2.76965i	0.305236	−	0.176228i
$248$	−14.0405	+	3.14954i	−0.891572	+	0.199996i
$249$	10.4807	+	19.6457i	0.664190	+	1.24499i
$250$	−15.4391	−	7.45876i	−0.976453	−	0.471733i
$251$	−2.65609			−0.167651			−0.0838256	−	0.996480i	$-0.526714\pi$
$251$	−2.65609			−0.167651			−0.0838256	+	0.996480i	$0.526714\pi$
$252$	−10.1760	+	12.1840i	−0.641028	+	0.767518i
$253$	1.04610			0.0657677
$254$	18.3757	+	8.87747i	1.15299	+	0.557022i
$255$	9.22095	−	14.8022i	0.577438	−	0.926950i
$256$	−14.3457	−	7.08532i	−0.896604	−	0.442833i
$257$	10.6598	−	6.15443i	0.664939	−	0.383903i	−0.129217	−	0.991616i	$-0.541246\pi$
$257$	10.6598	−	6.15443i	0.664939	−	0.383903i	0.794156	+	0.607714i	$0.207913\pi$
$258$	−0.0564712	−	1.40980i	−0.00351574	−	0.0877706i
$259$	14.0518	+	3.62258i	0.873139	+	0.225096i
$260$	2.64371	+	3.33209i	0.163956	+	0.206648i
$261$	5.21714	+	10.6219i	0.322933	+	0.657479i
$262$	−12.4033	+	0.913975i	−0.766277	+	0.0564656i
$263$	4.01000	+	2.31517i	0.247267	+	0.142760i	0.618512	−	0.785775i	$-0.287736\pi$
$263$	4.01000	+	2.31517i	0.247267	+	0.142760i	−0.371245	+	0.928535i	$0.621069\pi$
$264$	−0.954206	−	0.333735i	−0.0587273	−	0.0205400i
$265$	−12.4935	−	7.21313i	−0.767470	−	0.443099i
$266$	−12.0745	+	14.2672i	−0.740336	+	0.874777i
$267$	−4.41552	−	2.75062i	−0.270226	−	0.168335i
$268$	−13.2665	+	10.5257i	−0.810378	+	0.642962i
$269$	−11.0919	+	6.40393i	−0.676287	+	0.390454i	−0.798454	−	0.602055i	$-0.794349\pi$
$269$	−11.0919	+	6.40393i	−0.676287	+	0.390454i	0.122168	+	0.992509i	$0.461015\pi$
$270$	−0.380573	+	14.0884i	−0.0231609	+	0.857394i
$271$	6.47391	−	11.2131i	0.393262	−	0.681150i	−0.599616	−	0.800288i	$-0.704680\pi$
$271$	6.47391	−	11.2131i	0.393262	−	0.681150i	0.992878	+	0.119138i	$0.0380132\pi$
$272$	6.08970	+	20.0970i	0.369242	+	1.21856i
$273$	−1.43276	+	4.87542i	−0.0867148	+	0.295074i
$274$	10.4550	+	15.3757i	0.631608	+	0.928881i
$275$	0.236188	−	0.136363i	0.0142427	−	0.00822302i
$276$	16.1062	+	7.00042i	0.969478	+	0.421376i
$277$	13.2913	−	23.0211i	0.798594	−	1.38321i	−0.121937	−	0.992538i	$-0.538911\pi$
$277$	13.2913	−	23.0211i	0.798594	−	1.38321i	0.920532	−	0.390668i	$-0.127756\pi$
$278$	−6.39641	−	9.40694i	−0.383631	−	0.564191i
$279$	−15.2280	−	1.02244i	−0.911675	−	0.0612116i
$280$	−12.1961	−	7.56571i	−0.728857	−	0.452138i
$281$	−3.50835	−	6.07665i	−0.209291	−	0.362502i	0.742200	−	0.670178i	$-0.233782\pi$
$281$	−3.50835	−	6.07665i	−0.209291	−	0.362502i	−0.951491	+	0.307675i	$0.900449\pi$
$282$	−6.82264	+	12.9918i	−0.406282	+	0.773651i
$283$	−4.62381			−0.274857			−0.137428	−	0.990512i	$-0.543884\pi$
$283$	−4.62381			−0.274857			−0.137428	+	0.990512i	$0.543884\pi$
$284$	5.83203	−	4.62718i	0.346067	−	0.274573i
$285$	−0.556134	+	16.5846i	−0.0329425	+	0.982386i
$286$	−0.322719	+	0.0237806i	−0.0190828	+	0.00140618i
$287$	5.78006	−	22.4206i	0.341186	−	1.32345i
$288$	−12.4580	−	11.5238i	−0.734096	−	0.679046i
$289$	5.28042	−	9.14595i	0.310613	−	0.537997i
$290$	−8.84754	+	6.01603i	−0.519545	+	0.353274i
$291$	−12.9732	+	6.92104i	−0.760501	+	0.405719i
$292$	7.42193	+	2.93423i	0.434336	+	0.171713i
$293$	1.27196	+	0.734365i	0.0743085	+	0.0429020i	0.536694	−	0.843777i	$-0.319673\pi$
$293$	1.27196	+	0.734365i	0.0743085	+	0.0429020i	−0.462385	+	0.886679i	$0.653006\pi$
$294$	−1.01138	−	17.1166i	−0.0589847	−	0.998259i
$295$	−17.9277	+	10.3505i	−1.04379	+	0.602631i
$296$	−4.62792	+	14.8068i	−0.268992	+	0.860630i
$297$	−0.870045	−	0.626614i	−0.0504851	−	0.0363598i
$298$	8.25445	−	0.608256i	0.478167	−	0.0352353i
$299$	5.62169			0.325111
$300$	4.54899	−	0.518953i	0.262636	−	0.0299618i
$301$	1.08780	+	1.06734i	0.0626997	+	0.0615206i
$302$	7.06174	−	4.80175i	0.406357	−	0.276310i
$303$	−19.7257	−	12.2880i	−1.13321	−	0.705927i
$304$	−14.5795	−	13.6635i	−0.836192	−	0.783655i
$305$	−9.79586	−	16.9669i	−0.560909	−	0.971523i
$306$	0.145087	+	22.2727i	0.00829407	+	1.27325i
$307$	20.8816			1.19177			0.595887	−	0.803068i	$-0.296801\pi$
$307$	20.8816			1.19177			0.595887	+	0.803068i	$0.296801\pi$
$308$	0.997694	−	0.443632i	0.0568489	−	0.0252783i
$309$	11.3148	+	21.2091i	0.643677	+	1.20654i
$310$	−1.01405	−	13.7613i	−0.0575941	−	0.781591i
$311$	11.3838			0.645515			0.322757	−	0.946482i	$-0.395390\pi$
$311$	11.3838			0.645515			0.322757	+	0.946482i	$0.395390\pi$
$312$	−5.12786	−	1.79348i	−0.290308	−	0.101536i
$313$		−	18.3264i		−	1.03587i	−0.855420	−	0.517936i	$-0.826701\pi$
$313$		−	18.3264i		−	1.03587i	0.855420	−	0.517936i	$-0.173299\pi$
$314$	−22.8024	−	11.0160i	−1.28681	−	0.621671i
$315$	−10.1272	−	11.3654i	−0.570602	−	0.640370i
$316$	−27.3901	+	21.7316i	−1.54081	+	1.22250i
$317$	9.67466			0.543383			0.271692	−	0.962384i	$-0.412417\pi$
$317$	9.67466			0.543383			0.271692	+	0.962384i	$0.412417\pi$
$318$	18.4102	−	0.737438i	1.03239	−	0.0413535i
$319$		−	0.813965i		−	0.0455733i
$320$	8.73751	−	12.6122i	0.488442	−	0.705043i
$321$	24.5755	+	15.3092i	1.37167	+	0.854474i
$322$	−17.8521	+	6.41247i	−0.994859	+	0.357353i
$323$			26.2247i			1.45918i
$324$	−9.20232	−	15.4699i	−0.511240	−	0.859438i
$325$	1.26927	−	0.732811i	0.0704062	−	0.0406491i
$326$	−0.433532	+	0.294787i	−0.0240111	+	0.0163268i
$327$	12.2063	+	22.8802i	0.675011	+	1.26528i
$328$	23.6252	+	7.38413i	1.30449	+	0.407721i
$329$	−4.24744	−	15.2704i	−0.234169	−	0.841882i
$330$	0.450702	−	0.858237i	0.0248104	−	0.0472444i
$331$			4.32637i			0.237799i	0.992906	+	0.118900i	$0.0379366\pi$
$331$			4.32637i			0.237799i	−0.992906	+	0.118900i	$0.962063\pi$
$332$	9.45290	−	23.9104i	0.518795	−	1.31225i
$333$	−9.16326	+	13.6666i	−0.502143	+	0.748928i
$334$	6.98338	+	10.2702i	0.382114	+	0.561959i
$335$	−8.11981	−	14.0639i	−0.443633	−	0.768394i
$336$	18.3297	−	0.153848i	0.999965	−	0.00839311i
$337$	15.7004	−	27.1939i	0.855256	−	1.48135i	−0.0211504	−	0.999776i	$-0.506733\pi$
$337$	15.7004	−	27.1939i	0.855256	−	1.48135i	0.876407	−	0.481571i	$-0.159934\pi$
$338$	16.6008	−	1.22328i	0.902964	−	0.0665378i
$339$	−11.1386	+	17.8805i	−0.604964	+	0.971137i
$340$	−19.9197	+	2.95173i	−1.08030	+	0.160080i
$341$	0.909127	+	0.524884i	0.0492320	+	0.0284241i
$342$	−10.7160	−	18.2846i	−0.579456	−	0.988718i
$343$	13.4634	+	12.7176i	0.726953	+	0.686687i
$344$	−1.19842	+	1.10368i	−0.0646146	+	0.0595062i
$345$	−8.90444	+	14.2941i	−0.479399	+	0.769570i
$346$	−8.24224	−	3.98190i	−0.443106	−	0.214068i
$347$		−	22.4818i		−	1.20689i	−0.797405	−	0.603444i	$-0.793795\pi$
$347$		−	22.4818i		−	1.20689i	0.797405	−	0.603444i	$-0.206205\pi$
$348$	5.44699	−	12.5321i	0.291990	−	0.671794i
$349$	−14.4924	+	8.36721i	−0.775762	+	0.447886i	−0.834926	−	0.550362i	$-0.814490\pi$
$349$	−14.4924	+	8.36721i	−0.775762	+	0.447886i	0.0591641	+	0.998248i	$0.481156\pi$
$350$	−3.19476	+	3.77490i	−0.170767	+	0.201777i
$351$	−4.67558	−	3.36740i	−0.249564	−	0.179738i
$352$	0.419681	+	1.08921i	0.0223691	+	0.0580552i
$353$	6.82165	+	3.93848i	0.363080	+	0.209624i	0.670431	−	0.741972i	$-0.266109\pi$
$353$	6.82165	+	3.93848i	0.363080	+	0.209624i	−0.307351	+	0.951596i	$0.599443\pi$
$354$	12.2925	−	23.4076i	0.653338	−	1.24410i
$355$	3.56952	+	6.18259i	0.189451	+	0.328138i
$356$	0.880505	+	5.94209i	0.0466667	+	0.314930i
$357$	−16.5978	−	17.4152i	−0.878449	−	0.921712i
$358$	−0.306691	−	4.16201i	−0.0162091	−	0.219969i
$359$	−12.5114	−	7.22346i	−0.660327	−	0.381240i	0.132075	−	0.991240i	$-0.457836\pi$
$359$	−12.5114	−	7.22346i	−0.660327	−	0.381240i	−0.792401	+	0.610000i	$0.791169\pi$
$360$	12.6825	−	10.1977i	0.668424	−	0.537466i
$361$	−2.97666	−	5.15572i	−0.156666	−	0.271354i
$362$	11.7873	+	5.69454i	0.619526	+	0.299298i
$363$	−8.93323	−	16.7449i	−0.468873	−	0.878881i
$364$	5.36156	−	2.38406i	0.281022	−	0.124959i
$365$	−3.82662	+	6.62790i	−0.200295	+	0.346920i
$366$	22.1532	+	11.6337i	1.15797	+	0.608105i
$367$	−8.96744	+	15.5321i	−0.468097	+	0.810767i	−0.999335	−	0.0364549i	$-0.988393\pi$
$367$	−8.96744	+	15.5321i	−0.468097	+	0.810767i	0.531239	+	0.847222i	$0.321727\pi$
$368$	−5.88067	−	19.4072i	−0.306551	−	1.01167i
$369$	21.8060	+	14.6205i	1.13517	+	0.761115i
$370$	−13.3951	−	6.47127i	−0.696376	−	0.336425i
$371$	−13.9381	+	14.2052i	−0.723628	+	0.737497i
$372$	10.4848	+	14.1651i	0.543612	+	0.734429i
$373$	16.7439	+	29.0013i	0.866966	+	1.50163i	0.865082	+	0.501631i	$0.167266\pi$
$373$	16.7439	+	29.0013i	0.866966	+	1.50163i	0.00188404	+	0.999998i	$0.499400\pi$
$374$	0.666425	−	1.37945i	0.0344600	−	0.0713297i
$375$	−0.703799	+	20.9881i	−0.0363440	+	1.08382i
$376$	16.5336	−	3.70879i	0.852653	−	0.191266i
$377$		−	4.37422i		−	0.225284i
$378$	18.6887	+	5.36015i	0.961245	+	0.275696i
$379$			21.4768i			1.10319i	0.834113	+	0.551594i	$0.185980\pi$
$379$			21.4768i			1.10319i	−0.834113	+	0.551594i	$0.814020\pi$
$380$	15.0104	−	11.9094i	0.770015	−	0.610937i
$381$	0.837667	−	24.9802i	0.0429150	−	1.27978i
$382$	14.8357	+	7.16723i	0.759058	+	0.366708i
$383$	−5.35780	−	9.27999i	−0.273771	−	0.474185i	0.696053	−	0.717990i	$-0.254938\pi$
$383$	−5.35780	−	9.27999i	−0.273771	−	0.474185i	−0.969824	+	0.243805i	$0.921604\pi$
$384$	−0.827340	+	19.5784i	−0.0422200	+	0.999108i
$385$	0.280585	+	1.00876i	0.0142999	+	0.0514110i
$386$	13.7377	−	28.4360i	0.699230	−	1.44735i
$387$	−1.55104	+	0.761823i	−0.0788439	+	0.0387257i
$388$	15.7894	+	6.24230i	0.801587	+	0.316905i
$389$	−3.95855	+	6.85641i	−0.200706	+	0.347634i	−0.948756	−	0.316009i	$-0.897657\pi$
$389$	−3.95855	+	6.85641i	−0.200706	+	0.347634i	0.748050	+	0.663643i	$0.230990\pi$
$390$	2.42206	−	4.61213i	0.122646	−	0.233544i
$391$	−13.3074	+	23.0491i	−0.672984	+	1.16564i
$392$	−14.3066	+	13.6865i	−0.722594	+	0.691273i
$393$	7.16964	+	13.4392i	0.361660	+	0.677916i
$394$	0.162920	−	0.337232i	0.00820778	−	0.0169895i
$395$	−16.7643	−	29.0366i	−0.843502	−	1.46099i
$396$	0.0990259	+	1.23411i	0.00497624	+	0.0620163i
$397$	12.1759	+	7.02978i	0.611093	+	0.352815i	0.773393	−	0.633927i	$-0.218558\pi$
$397$	12.1759	+	7.02978i	0.611093	+	0.352815i	−0.162300	+	0.986741i	$0.551891\pi$
$398$	9.61306	−	0.708369i	0.481859	−	0.0355073i
$399$	21.9627	+	6.45429i	1.09951	+	0.323119i
$400$	−3.85754	−	3.61518i	−0.192877	−	0.180759i
$401$	−17.1489	−	29.7028i	−0.856377	−	1.48329i	−0.875362	−	0.483469i	$-0.839377\pi$
$401$	−17.1489	−	29.7028i	−0.856377	−	1.48329i	0.0189848	−	0.999820i	$-0.493957\pi$
$402$	18.3628	+	9.64323i	0.915854	+	0.480960i
$403$	4.88561	+	2.82071i	0.243369	+	0.140509i
$404$	3.93352	+	26.5454i	0.195700	+	1.32068i
$405$	15.9680	−	6.55471i	0.793458	−	0.325706i
$406$	4.98951	+	13.8906i	0.247625	+	0.689381i
$407$	0.980130	−	0.565878i	0.0485832	−	0.0280495i
$408$	19.4917	−	16.7789i	0.964984	−	0.830681i
$409$			1.52689i			0.0754999i	0.999287	+	0.0377499i	$0.0120190\pi$
$409$			1.52689i			0.0754999i	−0.999287	+	0.0377499i	$0.987981\pi$
$410$	−10.3253	+	21.3727i	−0.509931	+	1.05552i
$411$	12.0407	−	19.3287i	0.593925	−	0.953416i
$412$	10.2052	−	25.8132i	0.502772	−	1.27173i
$413$	7.65269	+	27.5129i	0.376564	+	1.35382i
$414$	−0.140107	−	21.5082i	−0.00688588	−	1.05707i
$415$	21.3524	+	12.3278i	1.04815	+	0.605148i
$416$	2.25535	+	5.85338i	0.110578	+	0.286986i
$417$	−7.36657	+	11.8254i	−0.360743	+	0.579093i
$418$	0.107127	+	1.45378i	0.00523973	+	0.0711068i
$419$	9.63559	−	16.6893i	0.470729	−	0.815327i	−0.528710	−	0.848802i	$-0.677324\pi$
$419$	9.63559	−	16.6893i	0.470729	−	0.815327i	0.999440	+	0.0334754i	$0.0106575\pi$
$420$	−2.43053	+	17.4089i	−0.118598	+	0.849468i
$421$	−11.0521	−	19.1429i	−0.538649	−	0.932967i	−0.998977	−	0.0452184i	$-0.985602\pi$
$421$	−11.0521	−	19.1429i	−0.538649	−	0.932967i	0.460328	−	0.887749i	$-0.347732\pi$
$422$	−7.37985	+	5.01806i	−0.359246	+	0.244275i
$423$	17.9319	+	1.20398i	0.871879	+	0.0585396i
$424$	−14.4125	−	15.6498i	−0.699934	−	0.760021i
$425$			6.93870i			0.336576i
$426$	−8.07242	−	4.23923i	−0.391110	−	0.205391i
$427$	−26.0385	+	7.24259i	−1.26009	+	0.350493i
$428$	−4.90063	−	33.0719i	−0.236881	−	1.59859i
$429$	0.186546	+	0.349672i	0.00900653	+	0.0168823i
$430$	−0.878479	−	1.29194i	−0.0423640	−	0.0623031i
$431$	10.6593	−	6.15416i	0.513441	−	0.296435i	−0.220806	−	0.975318i	$-0.570869\pi$
$431$	10.6593	−	6.15416i	0.513441	−	0.296435i	0.734247	+	0.678882i	$0.237535\pi$
$432$	−6.73392	+	19.6635i	−0.323986	+	0.946062i
$433$			2.02492i			0.0973115i	0.998816	+	0.0486558i	$0.0154937\pi$
$433$			2.02492i			0.0973115i	−0.998816	+	0.0486558i	$0.984506\pi$
$434$	−18.7321	−	3.38452i	−0.899169	−	0.162462i
$435$	11.1222	+	6.92850i	0.533268	+	0.332196i
$436$	11.0092	−	27.8471i	0.527247	−	1.33363i
$437$		−	25.3245i		−	1.21144i
$438$	−0.391217	−	9.76673i	−0.0186931	−	0.466673i
$439$	10.0867			0.481414			0.240707	−	0.970598i	$-0.422621\pi$
$439$	10.0867			0.481414			0.240707	+	0.970598i	$0.422621\pi$
$440$	−1.09220	+	0.245002i	−0.0520688	+	0.0116800i
$441$	−18.6699	+	9.61423i	−0.889045	+	0.457820i
$442$	3.58134	−	7.41311i	0.170347	−	0.352606i
$443$		−	21.1071i		−	1.00283i	−0.865208	−	0.501414i	$-0.832814\pi$
$443$		−	21.1071i		−	1.00283i	0.865208	−	0.501414i	$-0.167186\pi$
$444$	18.8773	−	2.15354i	0.895877	−	0.102202i
$445$	−5.76036			−0.273067
$446$	−2.40328	+	0.177093i	−0.113799	+	0.00838561i
$447$	−4.77144	−	8.94384i	−0.225681	−	0.423029i
$448$	−13.8388	−	16.0152i	−0.653821	−	0.756649i
$449$	−16.1016			−0.759883			−0.379942	−	0.925010i	$-0.624056\pi$
$449$	−16.1016			−0.759883			−0.379942	+	0.925010i	$0.624056\pi$
$450$	−2.83532	−	4.83786i	−0.133658	−	0.228059i
$451$	−0.902894	−	1.56386i	−0.0425156	−	0.0736392i
$452$	24.0623	−	3.56558i	1.13180	−	0.167711i
$453$	−8.87728	−	5.53005i	−0.417091	−	0.259824i
$454$	7.72147	+	11.3557i	0.362387	+	0.532947i
$455$	1.50785	+	5.42102i	0.0706892	+	0.254141i
$456$	−8.07923	+	23.0999i	−0.378345	+	1.08175i
$457$	−26.1804			−1.22467			−0.612333	−	0.790600i	$-0.709769\pi$
$457$	−26.1804			−1.22467			−0.612333	+	0.790600i	$0.709769\pi$
$458$	−0.590121	−	8.00836i	−0.0275746	−	0.374206i
$459$	24.8742	−	11.1989i	1.16103	−	0.522719i
$460$	19.2360	−	2.85041i	0.896882	−	0.132901i
$461$	−12.7071	+	7.33643i	−0.591828	+	0.341692i	−0.765820	−	0.643055i	$-0.777667\pi$
$461$	−12.7071	+	7.33643i	−0.591828	+	0.341692i	0.173992	+	0.984747i	$0.444333\pi$
$462$	−0.991250	−	0.897623i	−0.0461171	−	0.0417612i
$463$	−7.57578	−	4.37388i	−0.352076	−	0.203271i	0.313523	−	0.949581i	$-0.398491\pi$
$463$	−7.57578	−	4.37388i	−0.352076	−	0.203271i	−0.665599	+	0.746309i	$0.731824\pi$
$464$	−15.1006	+	4.57572i	−0.701029	+	0.212423i
$465$	−14.9106	+	7.95466i	−0.691465	+	0.368888i
$466$	19.8326	+	29.1671i	0.918729	+	1.35114i
$467$	−8.01884	+	13.8890i	−0.371067	+	0.642708i	−0.989730	−	0.142949i	$-0.954341\pi$
$467$	−8.01884	+	13.8890i	−0.371067	+	0.642708i	0.618663	+	0.785657i	$0.287675\pi$
$468$	0.532161	+	6.63205i	0.0245992	+	0.306567i
$469$	−21.5834	+	6.00340i	−0.996628	+	0.277211i
$470$	1.19411	+	16.2048i	0.0550800	+	0.747474i
$471$	−1.03946	+	30.9980i	−0.0478958	+	1.42831i
$472$	−29.7888	+	6.68219i	−1.37114	+	0.307573i
$473$	0.118858			0.00546508
$474$	37.9121	+	19.9095i	1.74136	+	0.914475i
$475$	−3.30116	−	5.71777i	−0.151467	−	0.262349i
$476$	−2.91693	+	27.6260i	−0.133697	+	1.26623i
$477$	−9.94839	−	20.2545i	−0.455505	−	0.927391i
$478$	1.80352	−	1.22634i	0.0824913	−	0.0560913i
$479$	−6.41147	+	11.1050i	−0.292947	+	0.507400i	−0.974505	−	0.224364i	$-0.927969\pi$
$479$	−6.41147	+	11.1050i	−0.292947	+	0.507400i	0.681558	+	0.731764i	$0.261303\pi$
$480$	−18.4556	−	3.53680i	−0.842378	−	0.161432i
$481$	5.26718	−	3.04101i	0.240163	−	0.138658i
$482$	−21.8729	+	14.8729i	−0.996284	+	0.677440i
$483$	16.0281	+	16.8175i	0.729303	+	0.765221i
$484$	−8.05714	+	20.3800i	−0.366234	+	0.926362i
$485$	−8.14077	+	14.1002i	−0.369653	+	0.640258i
$486$	−12.7669	+	17.9724i	−0.579118	+	0.815244i
$487$	−29.4492	+	17.0025i	−1.33447	+	0.770456i	−0.985981	−	0.166857i	$-0.946638\pi$
$487$	−29.4492	+	17.0025i	−1.33447	+	0.770456i	−0.348488	+	0.937313i	$0.613305\pi$
$488$	−6.32410	−	28.1925i	−0.286278	−	1.27621i
$489$	0.544990	+	0.339498i	0.0246453	+	0.0153527i
$490$	−10.9719	−	15.4949i	−0.495658	−	0.699988i
$491$	6.02499	+	3.47853i	0.271904	+	0.156984i	0.629753	−	0.776796i	$-0.283156\pi$
$491$	6.02499	+	3.47853i	0.271904	+	0.156984i	−0.357849	+	0.933780i	$0.616490\pi$
$492$	−3.43611	−	30.1199i	−0.154912	−	1.35791i
$493$	17.9344	+	10.3544i	0.807725	+	0.466340i
$494$	0.575693	+	7.81256i	0.0259017	+	0.351504i
$495$	−1.18458	−	0.0795349i	−0.0532429	−	0.00357483i
$496$	4.62694	−	19.8167i	0.207756	−	0.889796i
$497$	9.48820	−	2.63913i	0.425604	−	0.118381i
$498$	−31.4644	+	1.26034i	−1.40995	+	0.0564772i
$499$	15.8299	−	9.13941i	0.708644	−	0.409136i	−0.101914	−	0.994793i	$-0.532497\pi$
$499$	15.8299	−	9.13941i	0.708644	−	0.409136i	0.810559	+	0.585657i	$0.199163\pi$
$500$	18.9959	−	15.0715i	0.849524	−	0.674020i
$501$	8.04257	−	12.9106i	0.359316	−	0.576802i
$502$	1.63400	−	3.38226i	0.0729290	−	0.150958i
$503$	12.6145			0.562454			0.281227	−	0.959641i	$-0.409259\pi$
$503$	12.6145			0.562454			0.281227	+	0.959641i	$0.409259\pi$
$504$	−9.25486	−	20.4535i	−0.412244	−	0.911073i
$505$	−25.7335			−1.14513
$506$	−0.643550	+	1.33210i	−0.0286093	+	0.0592191i
$507$	−9.59599	−	17.9872i	−0.426173	−	0.798841i
$508$	−22.6091	+	17.9383i	−1.00312	+	0.795882i
$509$	−16.5879	+	9.57704i	−0.735247	+	0.424495i	−0.820338	−	0.571878i	$-0.806215\pi$
$509$	−16.5879	+	9.57704i	−0.735247	+	0.424495i	0.0850919	+	0.996373i	$0.472882\pi$
$510$	13.1765	+	20.8481i	0.583464	+	0.923169i
$511$	7.53597	+	7.39425i	0.333372	+	0.327102i
$512$	17.8477	−	13.9089i	0.788766	−	0.614694i
$513$	−15.1694	+	21.0625i	−0.669745	+	0.929932i
$514$	1.27925	+	17.3603i	0.0564252	+	0.765729i
$515$	23.0516	+	13.3089i	1.01578	+	0.586458i
$516$	1.82998	+	0.795387i	0.0805605	+	0.0350150i
$517$	−1.07055	−	0.618085i	−0.0470829	−	0.0271833i
$518$	−13.2575	+	15.6650i	−0.582503	+	0.688281i
$519$	−0.375727	+	11.2046i	−0.0164926	+	0.491829i
$520$	−5.86946	+	1.31663i	−0.257393	+	0.0577380i
$521$	11.0086	−	6.35582i	0.482296	−	0.278454i	−0.239077	−	0.971001i	$-0.576845\pi$
$521$	11.0086	−	6.35582i	0.482296	−	0.278454i	0.721373	+	0.692547i	$0.243511\pi$
$522$	−16.7354	+	0.109017i	−0.732490	+	0.00477152i
$523$	6.03699	−	10.4564i	0.263979	−	0.457225i	−0.703317	−	0.710877i	$-0.748298\pi$
$523$	6.03699	−	10.4564i	0.263979	−	0.457225i	0.967296	+	0.253652i	$0.0816317\pi$
$524$	6.46651	−	16.3566i	0.282491	−	0.714540i
$525$	5.81105	+	1.70772i	0.253615	+	0.0745310i
$526$	−5.41505	+	3.68205i	−0.236107	+	0.160545i
$527$	−23.1299	+	13.3541i	−1.00756	+	0.581713i
$528$	1.01199	−	1.00977i	0.0440414	−	0.0439447i
$529$	1.35062	−	2.33935i	0.0587228	−	0.101711i
$530$	16.8711	−	11.4718i	0.732832	−	0.498301i
$531$	−32.3083	−	2.16924i	−1.40206	−	0.0941369i
$532$	−10.7397	−	24.1527i	−0.465624	−	1.04715i
$533$	−4.85211	−	8.40411i	−0.210168	−	0.364022i
$534$	6.21902	−	3.93056i	0.269123	−	0.170092i
$535$	32.0604			1.38609
$536$	−5.24206	−	23.3688i	−0.226422	−	1.00938i
$537$	−4.50962	+	2.40583i	−0.194604	+	0.103819i
$538$	−1.33111	−	18.0641i	−0.0573881	−	0.778797i
$539$	1.44416	−	0.0274198i	0.0622044	−	0.00118105i
$540$	−17.7060	−	9.15167i	−0.761946	−	0.393825i
$541$	−0.327250	+	0.566813i	−0.0140696	+	0.0243692i	−0.872974	−	0.487766i	$-0.837812\pi$
$541$	−0.327250	+	0.566813i	−0.0140696	+	0.0243692i	0.858905	+	0.512135i	$0.171145\pi$
$542$	10.2961	+	15.1421i	0.442256	+	0.650408i
$543$	0.537330	−	16.0238i	0.0230590	−	0.687648i
$544$	−29.3378	−	4.60885i	−1.25785	−	0.197603i
$545$	24.8679	+	14.3575i	1.06522	+	0.615007i
$546$	−5.32693	−	4.82379i	−0.227972	−	0.206439i
$547$	2.24367	−	1.29539i	0.0959326	−	0.0553867i	−0.451266	−	0.892389i	$-0.649028\pi$
$547$	2.24367	−	1.29539i	0.0959326	−	0.0553867i	0.547199	+	0.837003i	$0.315694\pi$
$548$	−26.0112	+	3.85437i	−1.11114	+	0.164650i
$549$	2.05299	−	30.5769i	0.0876194	−	1.30499i
$550$	0.0283443	+	0.384651i	0.00120860	+	0.0164016i
$551$	−19.7049			−0.839457
$552$	−18.8227	+	16.2030i	−0.801146	+	0.689645i
$553$	−44.5613	+	12.3947i	−1.89494	+	0.527076i
$554$	21.1384	+	31.0874i	0.898085	+	1.32078i
$555$	−0.610621	+	18.2095i	−0.0259194	+	0.772949i
$556$	15.9138	−	2.35812i	0.674895	−	0.100007i
$557$	12.8703	+	22.2921i	0.545333	+	0.944545i	0.998586	+	0.0531628i	$0.0169302\pi$
$557$	12.8703	+	22.2921i	0.545333	+	0.944545i	−0.453253	+	0.891382i	$0.649736\pi$
$558$	10.6701	−	18.7623i	0.451700	−	0.794271i
$559$	0.638736			0.0270157
$560$	17.1371	−	10.8761i	0.724174	−	0.459601i
$561$	−1.87525	−	0.0628830i	−0.0791730	−	0.00265492i
$562$	9.89629	−	0.729240i	0.417450	−	0.0307611i
$563$	29.3521			1.23704			0.618521	−	0.785768i	$-0.287732\pi$
$563$	29.3521			1.23704			0.618521	+	0.785768i	$0.287732\pi$
$564$	−12.3465	−	16.6804i	−0.519882	−	0.702370i
$565$			23.3264i			0.981348i
$566$	2.84452	−	5.88795i	0.119564	−	0.247489i
$567$	−3.25695	−	23.5880i	−0.136779	−	0.990602i
$568$	2.30444	+	10.2731i	0.0966923	+	0.431049i
$569$	34.2562			1.43610			0.718048	−	0.695994i	$-0.245036\pi$
$569$	34.2562			1.43610			0.718048	+	0.695994i	$0.245036\pi$
$570$	−20.7766	−	10.9108i	−0.870238	−	0.457005i
$571$		−	38.8821i		−	1.62717i	−0.581449	−	0.813583i	$-0.697514\pi$
$571$		−	38.8821i		−	1.62717i	0.581449	−	0.813583i	$-0.302486\pi$
$572$	0.168251	−	0.425580i	0.00703495	−	0.0177944i
$573$	0.676292	−	20.1678i	0.0282525	−	0.842523i
$574$	24.9945	+	21.1532i	1.04325	+	0.882919i
$575$		−	6.70053i		−	0.279431i
$576$	22.3384	−	8.77469i	0.930767	−	0.365612i
$577$	4.51115	−	2.60451i	0.187801	−	0.108427i	−0.403151	−	0.915133i	$-0.632085\pi$
$577$	4.51115	−	2.60451i	0.187801	−	0.108427i	0.590953	+	0.806706i	$0.298752\pi$
$578$	8.39798	+	12.3506i	0.349310	+	0.513716i
$579$	−38.6564	−	1.29627i	−1.60650	−	0.0538712i
$580$	−2.21789	−	14.9674i	−0.0920928	−	0.621489i
$581$	23.8212	−	24.2778i	0.988272	−	1.00721i
$582$	−0.832275	−	20.7778i	−0.0344989	−	0.861267i
$583$			1.55212i			0.0642823i
$584$	−8.30234	+	7.64596i	−0.343553	+	0.316392i
$585$	−6.36588	−	0.427417i	−0.263197	−	0.0176715i
$586$	−1.71763	+	1.16793i	−0.0709548	+	0.0482469i
$587$	16.2370	+	28.1233i	0.670172	+	1.16077i	0.977855	+	0.209283i	$0.0671130\pi$
$587$	16.2370	+	28.1233i	0.670172	+	1.16077i	−0.307683	+	0.951489i	$0.599554\pi$
$588$	22.4184	+	9.24205i	0.924519	+	0.381136i
$589$	12.7067	−	22.0086i	0.523569	−	0.906849i
$590$	−2.15144	−	29.1966i	−0.0885735	−	1.20200i
$591$	−0.458439	−	0.0153729i	−0.0188577	−	0.000632357i
$592$	−16.0079	−	15.0022i	−0.657922	−	0.616586i
$593$	−35.7119	−	20.6182i	−1.46651	−	0.846690i	−0.467212	−	0.884145i	$-0.654741\pi$
$593$	−35.7119	−	20.6182i	−1.46651	−	0.846690i	−0.999298	+	0.0374554i	$0.988075\pi$
$594$	1.33317	−	0.722427i	0.0547007	−	0.0296415i
$595$	−25.7956	−	6.65014i	−1.05752	−	0.272629i
$596$	−4.30350	+	10.8854i	−0.176278	+	0.445883i
$597$	−5.55677	−	10.4159i	−0.227424	−	0.426295i
$598$	−3.45841	+	7.15865i	−0.141425	+	0.292739i
$599$			14.6257i			0.597592i	0.954317	+	0.298796i	$0.0965850\pi$
$599$			14.6257i			0.597592i	−0.954317	+	0.298796i	$0.903415\pi$
$600$	−2.13766	+	6.11193i	−0.0872695	+	0.249518i
$601$	−27.8605	+	16.0853i	−1.13645	+	0.656131i	−0.945550	−	0.325478i	$-0.894475\pi$
$601$	−27.8605	+	16.0853i	−1.13645	+	0.656131i	−0.190903	+	0.981609i	$0.561141\pi$
$602$	−2.02835	+	0.728584i	−0.0826695	+	0.0296949i
$603$	1.70173	−	25.3453i	0.0692997	−	1.03214i
$604$	1.77023	+	11.9464i	0.0720296	+	0.486092i
$605$	−18.1996	−	10.5076i	−0.739920	−	0.427193i
$606$	27.7826	−	17.5592i	1.12859	−	0.713294i
$607$	−24.1612	−	41.8484i	−0.980672	−	1.69857i	−0.659783	−	0.751456i	$-0.729352\pi$
$607$	−24.1612	−	41.8484i	−0.980672	−	1.69857i	−0.320889	−	0.947117i	$-0.603982\pi$
$608$	26.3682	−	10.1599i	1.06937	−	0.412037i
$609$	13.0856	−	12.4714i	0.530255	−	0.505366i
$610$	27.6320	−	2.03615i	1.11879	−	0.0824413i
$611$	−5.75311	−	3.32156i	−0.232746	−	0.134376i
$612$	−28.4513	−	13.5172i	−1.15008	−	0.546400i
$613$	4.32207	+	7.48605i	0.174567	+	0.302359i	0.940011	−	0.341143i	$-0.110814\pi$
$613$	4.32207	+	7.48605i	0.174567	+	0.302359i	−0.765444	+	0.643502i	$0.777481\pi$
$614$	−12.8461	+	26.5905i	−0.518427	+	1.07311i
$615$	29.0544	+	0.974285i	1.17158	+	0.0392870i
$616$	−0.0488510	+	1.54338i	−0.00196826	+	0.0621845i
$617$	−15.9605	+	27.6444i	−0.642545	+	1.11292i	0.342318	+	0.939584i	$0.388788\pi$
$617$	−15.9605	+	27.6444i	−0.642545	+	1.11292i	−0.984863	+	0.173336i	$0.944545\pi$
$618$	−33.9683	+	1.36064i	−1.36641	+	0.0547329i
$619$	13.1604	−	22.7945i	0.528962	−	0.916189i	−0.470468	−	0.882417i	$-0.655915\pi$
$619$	13.1604	−	22.7945i	0.528962	−	0.916189i	0.999430	−	0.0337717i	$-0.0107519\pi$
$620$	18.1475	+	7.17454i	0.728821	+	0.288137i
$621$	−24.0204	+	10.8145i	−0.963906	+	0.433970i
$622$	−7.00318	+	14.4961i	−0.280802	+	0.581239i
$623$	−1.98375	+	7.69488i	−0.0794772	+	0.308289i
$624$	5.43842	−	5.42648i	0.217711	−	0.217233i
$625$	8.32231	+	14.4147i	0.332893	+	0.576587i
$626$	23.3368	+	11.2742i	0.932728	+	0.450609i
$627$	1.57520	−	0.840350i	0.0629073	−	0.0335603i
$628$	28.0556	−	22.2596i	1.11954	−	0.888254i
$629$			28.7941i			1.14810i
$630$	20.7029	−	5.90404i	0.824822	−	0.235223i
$631$		−	13.6883i		−	0.544924i	−0.962167	−	0.272462i	$-0.912162\pi$
$631$		−	13.6883i		−	0.544924i	0.962167	−	0.272462i	$-0.0878379\pi$
$632$	−10.8228	−	48.2476i	−0.430509	−	1.91918i
$633$	9.27718	+	5.77916i	0.368735	+	0.229701i
$634$	−5.95175	+	12.3197i	−0.236374	+	0.489278i
$635$	−13.8380	−	23.9682i	−0.549145	−	0.951147i
$636$	−10.3867	+	23.8971i	−0.411859	+	0.947582i
$637$	7.76086	−	0.147353i	0.307497	−	0.00583832i
$638$	1.03650	+	0.500743i	0.0410355	+	0.0198246i
$639$	−0.748091	+	11.1419i	−0.0295940	+	0.440768i
$640$	10.6851	+	18.8852i	0.422366	+	0.746504i
$641$	6.43858	−	11.1519i	0.254309	−	0.440476i	−0.710399	−	0.703799i	$-0.751485\pi$
$641$	6.43858	−	11.1519i	0.254309	−	0.440476i	0.964708	+	0.263324i	$0.0848188\pi$
$642$	−34.6132	+	21.8763i	−1.36608	+	0.863391i
$643$	−9.10286	+	15.7666i	−0.358982	+	0.621774i	−0.987791	−	0.155785i	$-0.950209\pi$
$643$	−9.10286	+	15.7666i	−0.358982	+	0.621774i	0.628809	+	0.777560i	$0.283543\pi$
$644$	2.81681	−	26.6777i	0.110998	−	1.05125i
$645$	−1.01172	+	1.62410i	−0.0398365	+	0.0639487i
$646$	−33.3945	−	16.1332i	−1.31389	−	0.634750i
$647$	6.55058	+	11.3459i	0.257530	+	0.446055i	0.965580	−	0.260108i	$-0.0837581\pi$
$647$	6.55058	+	11.3459i	0.257530	+	0.446055i	−0.708050	+	0.706162i	$0.750425\pi$
$648$	25.3605	−	2.20130i	0.996254	−	0.0864752i
$649$	1.92884	+	1.11361i	0.0757135	+	0.0437132i
$650$	0.152321	+	2.06710i	0.00597451	+	0.0810783i
$651$	5.49119	+	22.6576i	0.215217	+	0.888021i
$652$	−0.108677	−	0.733408i	−0.00425613	−	0.0287225i
$653$	2.11879	+	3.66985i	0.0829147	+	0.143612i	0.904501	−	0.426472i	$-0.140244\pi$
$653$	2.11879	+	3.66985i	0.0829147	+	0.143612i	−0.821586	+	0.570085i	$0.806910\pi$
$654$	−36.6448	+	1.46785i	−1.43292	+	0.0573973i
$655$	14.6067	+	8.43317i	0.570730	+	0.329511i
$656$	−23.9369	+	25.5417i	−0.934581	+	0.997235i
$657$	−10.7452	+	5.27770i	−0.419210	+	0.205903i
$658$	22.0582	+	3.98549i	0.859919	+	0.155371i
$659$	2.94836	−	1.70223i	0.114852	−	0.0663096i	−0.441474	−	0.897274i	$-0.645544\pi$
$659$	2.94836	−	1.70223i	0.114852	−	0.0663096i	0.556325	+	0.830965i	$0.312211\pi$
$660$	0.815609	+	1.10190i	0.0317475	+	0.0428915i
$661$		−	16.9512i		−	0.659325i	−0.944099	−	0.329662i	$-0.893065\pi$
$661$		−	16.9512i		−	0.659325i	0.944099	−	0.329662i	$-0.106935\pi$
$662$	−5.50919	−	2.66154i	−0.214121	−	0.103444i
$663$	−10.0775	−	0.337931i	−0.391378	−	0.0131241i
$664$	24.6321	+	26.7467i	0.955913	+	1.03797i
$665$	24.4205	−	6.79255i	0.946987	−	0.263404i
$666$	−11.7659	−	20.0760i	−0.455921	−	0.777931i
$667$	−17.3188	−	9.99901i	−0.670587	−	0.387163i
$668$	−17.3741	+	2.57451i	−0.672225	+	0.0996110i
$669$	1.38920	+	2.60399i	0.0537096	+	0.100676i
$670$	22.9042	−	1.68777i	0.884866	−	0.0652042i
$671$	−1.05394	+	1.82547i	−0.0406868	+	0.0704716i
$672$	−11.0803	+	23.4356i	−0.427432	+	0.904048i
$673$	19.3769	+	33.5617i	0.746923	+	1.29371i	0.949291	+	0.314399i	$0.101803\pi$
$673$	19.3769	+	33.5617i	0.746923	+	1.29371i	−0.202368	+	0.979310i	$0.564864\pi$
$674$	24.9700	+	36.7223i	0.961807	+	1.41449i
$675$	−4.01362	+	5.57286i	−0.154484	+	0.214499i
$676$	−8.65490	+	21.8920i	−0.332881	+	0.841998i
$677$			34.2468i			1.31621i	0.752925	+	0.658106i	$0.228642\pi$
$677$			34.2468i			1.31621i	−0.752925	+	0.658106i	$0.771358\pi$
$678$	−15.9167	−	25.1837i	−0.611277	−	0.967176i
$679$	16.0321	+	15.7305i	0.615254	+	0.603683i
$680$	8.49569	−	27.1816i	0.325795	−	1.04237i
$681$	8.89261	−	14.2751i	0.340766	−	0.547025i
$682$	−1.22767	+	0.834776i	−0.0470100	+	0.0319652i
$683$	−25.4622	+	14.7006i	−0.974283	+	0.562503i	−0.900539	−	0.434775i	$-0.856828\pi$
$683$	−25.4622	+	14.7006i	−0.974283	+	0.562503i	−0.0737438	+	0.997277i	$0.523495\pi$
$684$	29.8759	−	2.39727i	1.14234	−	0.0916619i
$685$		−	25.2157i		−	0.963441i
$686$	−24.4771	+	9.32047i	−0.934540	+	0.355857i
$687$	−8.67719	+	4.62918i	−0.331056	+	0.176614i
$688$	−0.668161	−	2.20504i	−0.0254734	−	0.0840663i
$689$			8.34104i			0.317768i
$690$	−12.7242	−	20.1325i	−0.484402	−	0.766431i
$691$	−24.1677			−0.919384			−0.459692	−	0.888078i	$-0.652040\pi$
$691$	−24.1677			−0.919384			−0.459692	+	0.888078i	$0.652040\pi$
$692$	10.1411	−	8.04603i	0.385506	−	0.305864i
$693$	−0.514190	+	1.55501i	−0.0195325	+	0.0590700i
$694$	28.6283	+	13.8306i	1.08672	+	0.525002i
$695$			15.4271i			0.585182i
$696$	12.6075	+	14.6458i	0.477885	+	0.555149i
$697$	45.9428			1.74021
$698$	−1.73919	−	23.6021i	−0.0658294	−	0.893351i
$699$	22.8407	−	36.6658i	0.863915	−	1.38683i
$700$	−2.84157	−	6.39048i	−0.107401	−	0.241537i
$701$	−36.3119			−1.37148			−0.685742	−	0.727845i	$-0.740522\pi$
$701$	−36.3119			−1.37148			−0.685742	+	0.727845i	$0.740522\pi$
$702$	7.16441	−	3.88229i	0.270403	−	0.146528i
$703$	−13.6991	−	23.7275i	−0.516670	−	0.894899i
$704$	−1.64518	−	0.135651i	−0.0620052	−	0.00511254i
$705$	17.5582	−	9.36712i	0.661281	−	0.352786i
$706$	−9.21187	+	6.26376i	−0.346693	+	0.235740i
$707$	−8.86210	+	34.3758i	−0.333294	+	1.29283i
$708$	22.2450	+	30.0533i	0.836017	+	1.12947i
$709$	36.2017			1.35958			0.679792	−	0.733405i	$-0.262070\pi$
$709$	36.2017			1.35958			0.679792	+	0.733405i	$0.262070\pi$
$710$	−10.0688	+	0.741954i	−0.377877	+	0.0278451i
$711$	3.51341	−	52.3282i	0.131763	−	1.96246i
$712$	−8.10832	−	2.53428i	−0.303872	−	0.0949761i
$713$	22.3360	−	12.8957i	0.836490	−	0.482948i
$714$	32.3873	−	10.4219i	1.21207	−	0.390031i
$715$	0.380050	+	0.219422i	0.0142131	+	0.00820591i
$716$	5.48857	+	2.16989i	0.205118	+	0.0810925i
$717$	−2.26720	−	1.41234i	−0.0846702	−	0.0527448i
$718$	16.8952	−	11.4882i	0.630524	−	0.428736i
$719$	−10.8091	+	18.7219i	−0.403112	+	0.698210i	−0.994100	−	0.108470i	$-0.965405\pi$
$719$	−10.8091	+	18.7219i	−0.403112	+	0.698210i	0.590988	+	0.806680i	$0.298738\pi$
$720$	5.18361	+	22.4233i	0.193182	+	0.835668i
$721$	25.7169	−	26.2098i	0.957749	−	0.976106i
$722$	8.39649	−	0.618722i	0.312485	−	0.0230265i
$723$	27.4963	+	17.1287i	1.02260	+	0.637022i
$724$	−14.5028	+	11.5067i	−0.538993	+	0.427642i
$725$	−5.21365			−0.193630
$726$	26.8186	−	1.07425i	0.995331	−	0.0398690i
$727$	−16.4474	−	28.4878i	−0.610002	−	1.05655i	−0.991239	−	0.132077i	$-0.957835\pi$
$727$	−16.4474	−	28.4878i	−0.610002	−	1.05655i	0.381238	−	0.924477i	$-0.375498\pi$
$728$	−0.262523	+	8.29405i	−0.00972976	+	0.307398i
$729$	26.4558	+	5.39380i	0.979843	+	0.199771i
$730$	−6.08586	−	8.95023i	−0.225248	−	0.331263i
$731$	−1.51199	+	2.61884i	−0.0559228	+	0.0968611i
$732$	−28.4428	+	21.0529i	−1.05128	+	0.778136i
$733$	2.56052	−	1.47831i	0.0945748	−	0.0546028i	−0.451967	−	0.892035i	$-0.649277\pi$
$733$	2.56052	−	1.47831i	0.0945748	−	0.0546028i	0.546541	+	0.837432i	$0.315944\pi$
$734$	−14.2618	−	20.9743i	−0.526413	−	0.774175i
$735$	−11.9181	+	19.9667i	−0.439605	+	0.736483i
$736$	28.3308	+	4.45065i	1.04429	+	0.164053i
$737$	−0.873611	+	1.51314i	−0.0321799	+	0.0557372i
$738$	−32.0326	+	18.7733i	−1.17914	+	0.691055i
$739$	−32.4483	+	18.7340i	−1.19363	+	0.689142i	−0.959128	−	0.282974i	$-0.908679\pi$
$739$	−32.4483	+	18.7340i	−1.19363	+	0.689142i	−0.234501	+	0.972116i	$0.575346\pi$
$740$	16.4810	−	13.0762i	0.605854	−	0.480690i
$741$	8.46504	−	4.51600i	0.310971	−	0.165900i
$742$	−9.51433	−	26.4876i	−0.349282	−	0.972390i
$743$	41.4508	+	23.9316i	1.52068	+	0.877966i	0.999702	+	0.0243973i	$0.00776666\pi$
$743$	41.4508	+	23.9316i	1.52068	+	0.877966i	0.520980	+	0.853569i	$0.325567\pi$
$744$	−24.4880	+	4.63707i	−0.897774	+	0.170003i
$745$	−9.72083	−	5.61233i	−0.356144	−	0.205620i
$746$	−47.2308	+	3.48035i	−1.72924	+	0.127425i
$747$	17.0026	+	34.6166i	0.622092	+	1.26656i
$748$	1.34661	+	1.69725i	0.0492370	+	0.0620575i
$749$	11.0410	−	42.8274i	0.403428	−	1.56488i
$750$	−26.2933	−	13.8079i	−0.960095	−	0.504193i
$751$	−4.21603	+	2.43413i	−0.153845	+	0.0888226i	−0.574946	−	0.818191i	$-0.694977\pi$
$751$	−4.21603	+	2.43413i	−0.153845	+	0.0888226i	0.421101	+	0.907014i	$0.361644\pi$
$752$	−5.44852	+	23.3354i	−0.198687	+	0.850955i
$753$	−4.59790	−	0.154182i	−0.167557	−	0.00561872i
$754$	5.57012	+	2.69097i	0.202852	+	0.0979994i
$755$	−11.5810			−0.421477
$756$	−18.3227	+	20.5007i	−0.666391	+	0.745603i
$757$	9.72844			0.353586			0.176793	−	0.984248i	$-0.443428\pi$
$757$	9.72844			0.353586			0.176793	+	0.984248i	$0.443428\pi$
$758$	−27.3485	−	13.2123i	−0.993342	−	0.479892i
$759$	1.81088	+	0.0607246i	0.0657308	+	0.00220416i
$760$	5.93113	+	26.4407i	0.215145	+	0.959103i
$761$	19.3044	−	11.1454i	0.699784	−	0.404021i	−0.107483	−	0.994207i	$-0.534279\pi$
$761$	19.3044	−	11.1454i	0.699784	−	0.404021i	0.807267	+	0.590186i	$0.200946\pi$
$762$	31.2945	+	16.4343i	1.13368	+	0.595351i
$763$	27.7432	−	28.2750i	1.00437	−	1.02362i
$764$	−18.2535	+	14.4825i	−0.660388	+	0.523958i
$765$	16.8214	−	25.0885i	0.608180	−	0.907077i
$766$	15.1132	−	1.11366i	0.546061	−	0.0402383i
$767$	10.3655	+	5.98452i	0.374276	+	0.216088i
$768$	−24.4222	−	13.0980i	−0.881259	−	0.472633i
$769$	−17.7681	−	10.2584i	−0.640734	−	0.369928i	0.144163	−	0.989554i	$-0.453951\pi$
$769$	−17.7681	−	10.2584i	−0.640734	−	0.369928i	−0.784897	+	0.619626i	$0.787284\pi$
$770$	−1.45716	−	0.263281i	−0.0525125	−	0.00948798i
$771$	18.8102	−	10.0350i	0.677432	−	0.361402i
$772$	27.7591	+	34.9871i	0.999071	+	1.25921i
$773$	34.3590	−	19.8372i	1.23581	−	0.713493i	0.267573	−	0.963538i	$-0.413779\pi$
$773$	34.3590	−	19.8372i	1.23581	−	0.713493i	0.968234	+	0.250044i	$0.0804452\pi$
$774$	−0.0159189	−	2.44376i	−0.000572194	−	0.0878391i
$775$	3.36202	−	5.82318i	0.120767	−	0.209175i
$776$	−17.6624	+	16.2660i	−0.634044	+	0.583917i
$777$	24.1146	+	7.08666i	0.865105	+	0.254232i
$778$	−6.29568	−	9.25880i	−0.225711	−	0.331944i
$779$	−37.8587	+	21.8577i	−1.35643	+	0.783134i
$780$	4.38305	+	5.92157i	0.156938	+	0.212026i
$781$	0.384045	−	0.665186i	0.0137422	−	0.0238022i
$782$	−21.1641	−	31.1252i	−0.756826	−	1.11303i
$783$	8.41470	+	18.6902i	0.300717	+	0.667933i
$784$	−8.62707	−	26.6378i	−0.308110	−	0.951351i
$785$	17.1716	+	29.7421i	0.612880	+	1.06154i
$786$	−21.5241	+	0.862170i	−0.767739	+	0.0307526i
$787$	27.8716			0.993515			0.496757	−	0.867889i	$-0.334524\pi$
$787$	27.8716			0.993515			0.496757	+	0.867889i	$0.334524\pi$
$788$	0.329204	+	0.414924i	0.0117274	+	0.0147810i
$789$	6.80723	+	4.24052i	0.242344	+	0.150967i
$790$	47.2883	−	3.48459i	1.68244	−	0.123976i
$791$	31.1602	+	8.03313i	1.10793	+	0.285625i
$792$	−1.63243	−	0.633112i	−0.0580059	−	0.0224966i
$793$	−5.66381	+	9.81001i	−0.201128	+	0.348364i
$794$	−16.4422	+	11.1802i	−0.583513	+	0.396769i
$795$	−21.2085	−	13.2117i	−0.752189	−	0.468571i
$796$	−5.01182	+	12.6770i	−0.177639	+	0.449326i
$797$	4.31188	+	2.48946i	0.152734	+	0.0881813i	0.574419	−	0.818561i	$-0.305228\pi$
$797$	4.31188	+	2.48946i	0.152734	+	0.0881813i	−0.421685	+	0.906742i	$0.638561\pi$
$798$	−21.7301	+	23.9967i	−0.769238	+	0.849473i
$799$	27.2370	−	15.7253i	0.963575	−	0.556320i
$800$	6.97668	−	2.68816i	0.246663	−	0.0950410i
$801$	−7.48395	−	5.01786i	−0.264432	−	0.177297i
$802$	48.3734	−	3.56455i	1.70812	−	0.125868i
$803$	0.823413			0.0290576
$804$	−23.5763	+	17.4508i	−0.831471	+	0.615441i
$805$	24.9102	+	6.42188i	0.877969	+	0.226341i
$806$	−6.59746	+	4.48605i	−0.232385	+	0.158014i
$807$	−19.5727	+	10.4418i	−0.688992	+	0.367570i
$808$	−36.2227	−	11.3215i	−1.27431	−	0.398289i
$809$	−3.64441	−	6.31230i	−0.128130	−	0.221929i	0.794822	−	0.606843i	$-0.207564\pi$
$809$	−3.64441	−	6.31230i	−0.128130	−	0.221929i	−0.922952	+	0.384914i	$0.874231\pi$
$810$	−1.47661	+	24.3661i	−0.0518829	+	0.856136i
$811$	−11.2145			−0.393793			−0.196896	−	0.980424i	$-0.563086\pi$
$811$	−11.2145			−0.393793			−0.196896	+	0.980424i	$0.563086\pi$
$812$	−20.7578	−	2.19174i	−0.728456	−	0.0769151i
$813$	11.8578	−	19.0350i	0.415870	−	0.667587i
$814$	0.117622	+	1.59622i	0.00412266	+	0.0559474i
$815$	0.710978			0.0249045
$816$	9.37514	+	35.1429i	0.328196	+	1.23025i
$817$		−	2.87737i		−	0.100666i
$818$	−1.94434	−	0.939327i	−0.0679822	−	0.0328428i
$819$	−2.76324	+	8.35657i	−0.0965553	+	0.292002i
$820$	−20.8639	−	26.2965i	−0.728598	−	0.918313i
$821$	−0.0332788			−0.00116144			−0.000580720	−	1.00000i	$-0.500185\pi$
$821$	−0.0332788			−0.00116144			−0.000580720		1.00000i	$0.500185\pi$
$822$	17.2058	+	27.2235i	0.600123	+	0.949527i
$823$			0.112693i			0.00392824i	0.999998	+	0.00196412i	$0.000625198\pi$
$823$			0.112693i			0.00392824i	−0.999998	+	0.00196412i	$0.999375\pi$
$824$	26.5924	+	28.8752i	0.926389	+	1.00592i
$825$	0.416776	−	0.222345i	0.0145103	−	0.00774107i
$826$	−39.7427	−	7.18073i	−1.38283	−	0.249850i
$827$		−	35.3779i		−	1.23021i	−0.788445	−	0.615106i	$-0.789113\pi$
$827$		−	35.3779i		−	1.23021i	0.788445	−	0.615106i	$-0.210887\pi$
$828$	27.4747	+	13.0532i	0.954812	+	0.453630i
$829$	−12.5623	+	7.25282i	−0.436305	+	0.251901i	−0.702029	−	0.712148i	$-0.747722\pi$
$829$	−12.5623	+	7.25282i	−0.436305	+	0.251901i	0.265724	+	0.964049i	$0.414389\pi$
$830$	−28.8340	+	19.6061i	−1.00084	+	0.680539i
$831$	24.3445	−	39.0798i	0.844503	−	1.35566i
$832$	−8.84115	−	0.728982i	−0.306512	−	0.0252729i
$833$	−17.7670	+	32.1685i	−0.615590	+	1.11457i
$834$	−10.5266	−	16.6555i	−0.364507	−	0.576731i
$835$		−	16.8427i		−	0.582867i
$836$	−1.91715	−	0.757936i	−0.0663058	−	0.0262138i
$837$	−26.3015	−	2.65388i	−0.909112	−	0.0917314i
$838$	15.3244	+	22.5370i	0.529374	+	0.778529i
$839$	−9.63552	−	16.6892i	−0.332655	−	0.576175i	0.650377	−	0.759612i	$-0.274611\pi$
$839$	−9.63552	−	16.6892i	−0.332655	−	0.576175i	−0.983032	+	0.183437i	$0.941278\pi$
$840$	−20.6732	−	13.8048i	−0.713294	−	0.476311i
$841$	6.71981	−	11.6391i	0.231718	−	0.401347i
$842$	31.1757	−	2.29728i	1.07438	−	0.0791695i
$843$	−5.72049	−	10.7228i	−0.197024	−	0.369313i
$844$	−1.84997	−	12.4845i	−0.0636787	−	0.429736i
$845$	−19.5499	−	11.2871i	−0.672536	−	0.388289i
$846$	−12.5647	+	22.0938i	−0.431982	+	0.759600i
$847$	−20.3040	+	20.6931i	−0.697652	+	0.711024i
$848$	28.7948	−	8.72529i	0.988819	−	0.299628i
$849$	−8.00417	−	0.268405i	−0.274702	−	0.00921165i
$850$	−8.83573	−	4.26862i	−0.303063	−	0.146412i
$851$		−	27.8057i		−	0.953168i
$852$	10.3643	−	7.67147i	0.355075	−	0.262820i
$853$	−27.8501	+	16.0792i	−0.953568	+	0.550543i	−0.894188	−	0.447692i	$-0.852246\pi$
$853$	−27.8501	+	16.0792i	−0.953568	+	0.550543i	−0.0593808	+	0.998235i	$0.518913\pi$
$854$	6.79592	−	37.6129i	0.232552	−	1.28709i
$855$	−1.92542	+	28.6769i	−0.0658480	+	0.980730i
$856$	45.1285	+	14.1050i	1.54246	+	0.482100i
$857$	6.35100	+	3.66675i	0.216946	+	0.125254i	0.604535	−	0.796578i	$-0.293359\pi$
$857$	6.35100	+	3.66675i	0.216946	+	0.125254i	−0.387589	+	0.921832i	$0.626692\pi$
$858$	−0.560033	+	0.0224327i	−0.0191192	+	0.000765840i
$859$	5.74586	+	9.95212i	0.196046	+	0.339562i	0.947243	−	0.320516i	$-0.103856\pi$
$859$	5.74586	+	9.95212i	0.196046	+	0.339562i	−0.751197	+	0.660078i	$0.770523\pi$
$860$	2.18559	−	0.323863i	0.0745280	−	0.0110436i
$861$	11.3072	−	38.4763i	0.385349	−	1.31127i
$862$	1.27919	+	17.3595i	0.0435694	+	0.591268i
$863$	20.6674	+	11.9323i	0.703525	+	0.406180i	0.808659	−	0.588278i	$-0.200194\pi$
$863$	20.6674	+	11.9323i	0.703525	+	0.406180i	−0.105134	+	0.994458i	$0.533527\pi$
$864$	−20.8969	−	20.6718i	−0.710925	−	0.703267i
$865$	6.20691	+	10.7507i	0.211041	+	0.365534i
$866$	−2.57853	−	1.24571i	−0.0876220	−	0.0423310i
$867$	9.67172	−	15.5258i	0.328469	−	0.527285i
$868$	15.8336	−	21.7713i	0.537428	−	0.738965i
$869$	−1.80367	+	3.12405i	−0.0611853	+	0.105976i
$870$	−15.6650	+	9.90063i	−0.531093	+	0.335663i
$871$	−4.69475	+	8.13154i	−0.159075	+	0.275527i
$872$	28.6876	+	31.1504i	0.971486	+	1.05488i
$873$	−22.8593	+	11.2278i	−0.773672	+	0.380003i
$874$	32.2482	+	15.5794i	1.09081	+	0.526980i
$875$	30.9047	−	8.59612i	1.04477	−	0.290602i
$876$	12.6776	+	5.51022i	0.428337	+	0.186173i
$877$	24.7127	+	42.8037i	0.834489	+	1.44538i	0.894446	+	0.447176i	$0.147570\pi$
$877$	24.7127	+	42.8037i	0.834489	+	1.44538i	−0.0599569	+	0.998201i	$0.519096\pi$
$878$	−6.20526	+	12.8444i	−0.209417	+	0.433479i
$879$	2.15923	+	1.34508i	0.0728289	+	0.0453683i
$880$	0.359928	−	1.54153i	0.0121332	−	0.0519651i
$881$			12.3809i			0.417124i	0.978009	+	0.208562i	$0.0668783\pi$
$881$			12.3809i			0.417124i	−0.978009	+	0.208562i	$0.933122\pi$
$882$	−0.757181	−	29.6888i	−0.0254956	−	0.999675i
$883$			6.02028i			0.202599i	0.994856	+	0.101299i	$0.0323000\pi$
$883$			6.02028i			0.202599i	−0.994856	+	0.101299i	$0.967700\pi$
$884$	7.23664	+	9.12094i	0.243394	+	0.306770i
$885$	−31.6350	+	16.8769i	−1.06340	+	0.567311i
$886$	26.8777	+	12.9848i	0.902974	+	0.436235i
$887$	7.64580	+	13.2429i	0.256721	+	0.444654i	0.965362	−	0.260916i	$-0.0840246\pi$
$887$	7.64580	+	13.2429i	0.256721	+	0.444654i	−0.708641	+	0.705570i	$0.750691\pi$
$888$	−8.87080	+	25.3631i	−0.297685	+	0.851131i
$889$	−36.7830	+	10.2312i	−1.23366	+	0.343142i
$890$	3.54371	−	7.33522i	0.118785	−	0.245877i
$891$	−1.46974	−	1.13522i	−0.0492382	−	0.0380314i
$892$	1.25296	−	3.16928i	0.0419523	−	0.106115i
$893$	−14.9629	+	25.9165i	−0.500715	+	0.867264i
$894$	14.3244	−	0.573779i	0.479080	−	0.0191900i
$895$	−2.82982	+	4.90139i	−0.0945903	+	0.163835i
$896$	28.9073	−	7.76985i	0.965724	−	0.259573i
$897$	9.73159	+	0.326331i	0.324928	+	0.0108959i
$898$	9.90556	−	20.5038i	0.330553	−	0.684220i
$899$	−10.0341	−	17.3795i	−0.334655	−	0.579640i
$900$	7.90478	−	0.634286i	0.263493	−	0.0211429i
$901$	−34.1985	−	19.7445i	−1.13932	−	0.657785i
$902$	2.54686	−	0.187674i	0.0848013	−	0.00624886i
$903$	1.82111	+	1.91080i	0.0606027	+	0.0635874i
$904$	−10.2625	+	32.8344i	−0.341325	+	1.09206i
$905$	−8.87654	−	15.3746i	−0.295066	−	0.511069i
$906$	12.5032	−	7.90228i	0.415390	−	0.262536i
$907$	10.1495	+	5.85983i	0.337010	+	0.194573i	0.658949	−	0.752188i	$-0.271001\pi$
$907$	10.1495	+	5.85983i	0.337010	+	0.194573i	−0.321939	+	0.946760i	$0.604335\pi$
$908$	−19.2104	+	2.84662i	−0.637521	+	0.0944685i
$909$	−33.4334	−	22.4165i	−1.10892	−	0.743510i
$910$	−7.83073	−	1.41486i	−0.259586	−	0.0469022i
$911$	−5.47911	+	3.16337i	−0.181531	+	0.104807i	−0.588012	−	0.808852i	$-0.700089\pi$
$911$	−5.47911	+	3.16337i	−0.181531	+	0.104807i	0.406481	+	0.913659i	$0.366756\pi$
$912$	−24.4451	−	24.4989i	−0.809458	−	0.811239i
$913$		−	2.65270i		−	0.0877915i
$914$	16.1059	−	33.3380i	0.532735	−	1.10272i
$915$	−15.9725	−	29.9397i	−0.528034	−	0.989776i
$916$	10.5609	+	4.17520i	0.348941	+	0.137952i
$917$	16.2956	−	16.6079i	0.538127	−	0.548441i
$918$	−1.04174	+	38.5642i	−0.0343826	+	1.27281i
$919$	14.1603	+	8.17545i	0.467105	+	0.269683i	0.715027	−	0.699097i	$-0.246414\pi$
$919$	14.1603	+	8.17545i	0.467105	+	0.269683i	−0.247922	+	0.968780i	$0.579748\pi$
$920$	−8.20407	+	26.2486i	−0.270480	+	0.865391i
$921$	36.1476	+	1.21214i	1.19110	+	0.0399415i
$922$	−1.52494	−	20.6945i	−0.0502211	−	0.681536i
$923$	2.06384	−	3.57468i	0.0679322	−	0.117662i
$924$	1.75284	−	0.710047i	0.0576641	−	0.0233588i
$925$	−3.62459	−	6.27798i	−0.119176	−	0.206419i
$926$	10.2302	−	6.95621i	0.336186	−	0.228595i
$927$	18.3556	+	37.3714i	0.602879	+	1.22744i
$928$	3.46303	−	22.0440i	0.113680	−	0.723631i
$929$		−	48.5815i		−	1.59391i	−0.604040	−	0.796954i	$-0.706443\pi$
$929$		−	48.5815i		−	1.59391i	0.604040	−	0.796954i	$-0.293557\pi$
$930$	−0.956571	−	23.8808i	−0.0313672	−	0.783083i
$931$	−0.663792	−	34.9610i	−0.0217549	−	1.14580i
$932$	−49.3421	+	7.31156i	−1.61625	+	0.239498i
$933$	19.7062	+	0.660811i	0.645152	+	0.0216340i
$934$	−12.7532	−	18.7556i	−0.417296	−	0.613700i
$935$	−1.79927	+	1.03881i	−0.0588424	+	0.0339727i
$936$	−8.77262	−	3.40231i	−0.286742	−	0.111208i
$937$		−	34.8301i		−	1.13785i	−0.822389	−	0.568925i	$-0.807359\pi$
$937$		−	34.8301i		−	1.13785i	0.822389	−	0.568925i	$-0.192641\pi$
$938$	5.63315	−	31.1774i	0.183929	−	1.01798i
$939$	1.06382	−	31.7245i	0.0347165	−	1.03529i
$940$	−21.3698	−	8.44848i	−0.697007	−	0.275559i
$941$			49.5080i			1.61392i	0.590609	+	0.806958i	$0.298888\pi$
$941$			49.5080i			1.61392i	−0.590609	+	0.806958i	$0.701112\pi$
$942$	−38.8333	−	20.3933i	−1.26526	−	0.664449i
$943$	−44.3658			−1.44475
$944$	9.81670	−	42.0438i	0.319506	−	1.36841i
$945$	−16.8712	−	20.2623i	−0.548820	−	0.659133i
$946$	−0.0731200	+	0.151353i	−0.00237734	+	0.00492091i
$947$		−	16.7515i		−	0.544351i	−0.962248	−	0.272176i	$-0.912257\pi$
$947$		−	16.7515i		−	0.544351i	0.962248	−	0.272176i	$-0.0877431\pi$
$948$	−48.6759	+	36.0291i	−1.58092	+	1.17017i
$949$	4.42499			0.143641
$950$	9.31183	−	0.686172i	0.302116	−	0.0222624i
$951$	16.7476	+	0.561600i	0.543078	+	0.0182111i
$952$	−33.3844	−	20.7096i	−1.08199	−	0.671203i
$953$	15.3949			0.498690			0.249345	−	0.968415i	$-0.419785\pi$
$953$	15.3949			0.498690			0.249345	+	0.968415i	$0.419785\pi$
$954$	31.9122	−	0.207880i	1.03320	−	0.00673036i
$955$	−11.1721	−	19.3507i	−0.361522	−	0.626174i
$956$	0.452105	+	3.05103i	0.0146221	+	0.0986774i
$957$	0.0472495	−	1.40904i	0.00152736	−	0.0455477i
$958$	−10.1968	−	14.9960i	−0.329443	−	0.484499i
$959$	−33.6840	−	8.68376i	−1.08771	−	0.280413i
$960$	15.8574	−	21.3255i	0.511796	−	0.688277i
$961$	−5.11813			−0.165101
$962$	0.632098	+	8.57800i	0.0203796	+	0.276566i
$963$	41.6534	+	27.9279i	1.34226	+	0.899964i
$964$	−5.48307	−	37.0025i	−0.176598	−	1.19177i
$965$	−37.0902	+	21.4140i	−1.19398	+	0.689342i
$966$	−31.2756	+	10.0642i	−1.00628	+	0.323810i
$967$	−29.0113	−	16.7497i	−0.932939	−	0.538633i	−0.0451993	−	0.998978i	$-0.514392\pi$
$967$	−29.0113	−	16.7497i	−0.932939	−	0.538633i	−0.887740	+	0.460345i	$0.847726\pi$
$968$	−20.9951	−	22.7975i	−0.674809	−	0.732739i
$969$	−1.52230	+	45.3970i	−0.0489035	+	1.45836i
$970$	−12.9471	−	19.0407i	−0.415706	−	0.611361i
$971$	0.831660	−	1.44048i	0.0266892	−	0.0462271i	−0.852372	−	0.522935i	$-0.824837\pi$
$971$	0.831660	−	1.44048i	0.0266892	−	0.0462271i	0.879062	+	0.476708i	$0.158170\pi$
$972$	−15.0319	−	27.3138i	−0.482149	−	0.876089i
$973$	20.6080	+	5.31277i	0.660663	+	0.170320i
$974$	−3.53411	−	47.9603i	−0.113240	−	1.53675i
$975$	2.23974	−	1.19487i	0.0717290	−	0.0382666i
$976$	39.7907	+	9.29063i	1.27367	+	0.297386i
$977$	−11.8176			−0.378078			−0.189039	−	0.981970i	$-0.560537\pi$
$977$	−11.8176			−0.378078			−0.189039	+	0.981970i	$0.560537\pi$
$978$	−0.767589	+	0.485134i	−0.0245448	+	0.0155129i
$979$	0.309879	+	0.536725i	0.00990376	+	0.0171538i
$980$	26.4809	−	4.43925i	0.845903	−	0.141807i
$981$	19.8019	+	40.3160i	0.632227	+	1.28719i
$982$	−8.13606	+	5.53225i	−0.259632	+	0.176541i
$983$	−27.9814	+	48.4652i	−0.892468	+	1.54580i	−0.0555613	+	0.998455i	$0.517695\pi$
$983$	−27.9814	+	48.4652i	−0.892468	+	1.54580i	−0.836907	+	0.547345i	$0.815639\pi$
$984$	40.4685	+	14.1539i	1.29009	+	0.451211i
$985$	−0.439865	+	0.253956i	−0.0140153	+	0.00809172i
$986$	−24.2184	+	16.4677i	−0.771270	+	0.524438i
$987$	−6.46622	−	26.6807i	−0.205822	−	0.849257i
$988$	−10.3027	−	4.07312i	−0.327771	−	0.129583i
$989$	1.46009	−	2.52894i	0.0464280	−	0.0804157i
$990$	0.830020	−	1.45951i	0.0263798	−	0.0463863i
$991$	−11.4916	+	6.63469i	−0.365044	+	0.210758i	−0.671291	−	0.741194i	$-0.734260\pi$
$991$	−11.4916	+	6.63469i	−0.365044	+	0.210758i	0.306247	+	0.951952i	$0.400927\pi$
$992$	22.3881	+	18.0830i	0.710822	+	0.574135i
$993$	−0.251140	+	7.48929i	−0.00796968	+	0.237665i
$994$	−2.47637	+	13.7058i	−0.0785458	+	0.434722i
$995$	−11.3208	−	6.53607i	−0.358893	−	0.207207i
$996$	17.7517	−	40.8421i	0.562483	−	1.29413i
$997$	−52.3607	−	30.2305i	−1.65828	−	0.957409i	−0.973508	−	0.228652i	$-0.926568\pi$
$997$	−52.3607	−	30.2305i	−1.65828	−	0.957409i	−0.684773	−	0.728757i	$-0.740098\pi$
$998$	1.89970	+	25.7803i	0.0601340	+	0.816060i
$999$	−16.6556	+	23.1261i	−0.526961	+	0.731678i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.bj.b.103.14	yes	84
3.2	odd	2		756.2.bj.b.523.29		84
4.3	odd	2	inner	252.2.bj.b.103.13	yes	84
7.3	odd	6		252.2.n.b.31.15	✓	84
9.2	odd	6		756.2.n.b.19.1		84
9.7	even	3		252.2.n.b.187.42	yes	84
12.11	even	2		756.2.bj.b.523.30		84
21.17	even	6		756.2.n.b.199.28		84
28.3	even	6		252.2.n.b.31.42	yes	84
36.7	odd	6		252.2.n.b.187.15	yes	84
36.11	even	6		756.2.n.b.19.28		84
63.38	even	6		756.2.bj.b.451.29		84
63.52	odd	6	inner	252.2.bj.b.115.14	yes	84
84.59	odd	6		756.2.n.b.199.1		84
252.115	even	6	inner	252.2.bj.b.115.13	yes	84
252.227	odd	6		756.2.bj.b.451.30		84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.n.b.31.15	✓	84	7.3	odd	6
252.2.n.b.31.42	yes	84	28.3	even	6
252.2.n.b.187.15	yes	84	36.7	odd	6
252.2.n.b.187.42	yes	84	9.7	even	3
252.2.bj.b.103.13	yes	84	4.3	odd	2	inner
252.2.bj.b.103.14	yes	84	1.1	even	1	trivial
252.2.bj.b.115.13	yes	84	252.115	even	6	inner
252.2.bj.b.115.14	yes	84	63.52	odd	6	inner
756.2.n.b.19.1		84	9.2	odd	6
756.2.n.b.19.28		84	36.11	even	6
756.2.n.b.199.1		84	84.59	odd	6
756.2.n.b.199.28		84	21.17	even	6
756.2.bj.b.451.29		84	63.38	even	6
756.2.bj.b.451.30		84	252.227	odd	6
756.2.bj.b.523.29		84	3.2	odd	2
756.2.bj.b.523.30		84	12.11	even	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.bj (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.615190 + 1.27340i) q^{2} +(1.73108 + 0.0580485i) q^{3} +(-1.24308 - 1.56676i) q^{4} +(1.66094 - 0.958945i) q^{5} +(-1.13886 + 2.16864i) q^{6} +(-0.708998 - 2.54898i) q^{7} +(2.75984 - 0.619084i) q^{8} +(2.99326 + 0.200973i) q^{9} +O(q^{10})\)	\(q+(-0.615190 + 1.27340i) q^{2} +(1.73108 + 0.0580485i) q^{3} +(-1.24308 - 1.56676i) q^{4} +(1.66094 - 0.958945i) q^{5} +(-1.13886 + 2.16864i) q^{6} +(-0.708998 - 2.54898i) q^{7} +(2.75984 - 0.619084i) q^{8} +(2.99326 + 0.200973i) q^{9} +(0.199325 + 2.70497i) q^{10} +(-0.178701 - 0.103173i) q^{11} +(-2.06093 - 2.78435i) q^{12} +(-0.960331 - 0.554447i) q^{13} +(3.68204 + 0.665272i) q^{14} +(2.93088 - 1.56359i) q^{15} +(-0.909486 + 3.89523i) q^{16} +(4.54650 - 2.62492i) q^{17} +(-2.09734 + 3.68797i) q^{18} +(-2.49766 + 4.32608i) q^{19} +(-3.56713 - 1.41025i) q^{20} +(-1.07937 - 4.45365i) q^{21} +(0.241315 - 0.164086i) q^{22} +(-4.39044 + 2.53482i) q^{23} +(4.81344 - 0.911478i) q^{24} +(-0.660849 + 1.14462i) q^{25} +(1.29682 - 0.881793i) q^{26} +(5.16990 + 0.521654i) q^{27} +(-3.11231 + 4.27943i) q^{28} +(1.97233 + 3.41618i) q^{29} +(0.188027 + 4.69409i) q^{30} -5.08742 q^{31} +(-4.40067 - 3.55444i) q^{32} +(-0.303356 - 0.188974i) q^{33} +(0.545611 + 7.40432i) q^{34} +(-3.62194 - 3.55382i) q^{35} +(-3.40600 - 4.93955i) q^{36} +(-2.74238 + 4.74993i) q^{37} +(-3.97229 - 5.84188i) q^{38} +(-1.63022 - 1.01554i) q^{39} +(3.99027 - 3.67480i) q^{40} +(7.57882 + 4.37563i) q^{41} +(6.33528 + 1.36538i) q^{42} +(-0.498841 + 0.288006i) q^{43} +(0.0604926 + 0.408234i) q^{44} +(5.16435 - 2.53657i) q^{45} +(-0.526883 - 7.15017i) q^{46} +5.99076 q^{47} +(-1.80050 + 6.69016i) q^{48} +(-5.99464 + 3.61445i) q^{49} +(-1.05101 - 1.54568i) q^{50} +(8.02271 - 4.28002i) q^{51} +(0.325085 + 2.19383i) q^{52} +(-3.76097 - 6.51419i) q^{53} +(-3.84474 + 6.26242i) q^{54} -0.395749 q^{55} +(-3.53476 - 6.59587i) q^{56} +(-4.57477 + 7.34380i) q^{57} +(-5.56351 + 0.409965i) q^{58} -10.7937 q^{59} +(-6.09311 - 2.64832i) q^{60} -10.2152i q^{61} +(3.12973 - 6.47831i) q^{62} +(-1.60994 - 7.77226i) q^{63} +(7.23347 - 3.41715i) q^{64} -2.12674 q^{65} +(0.427260 - 0.270038i) q^{66} -8.46744i q^{67} +(-9.76430 - 3.86028i) q^{68} +(-7.74733 + 4.13311i) q^{69} +(6.75361 - 2.42589i) q^{70} +3.72234i q^{71} +(8.38535 - 1.29843i) q^{72} +(-3.45583 + 1.99523i) q^{73} +(-4.36147 - 6.41425i) q^{74} +(-1.21042 + 1.94307i) q^{75} +(9.88275 - 1.46444i) q^{76} +(-0.136288 + 0.528655i) q^{77} +(2.29608 - 1.45117i) q^{78} -17.4820i q^{79} +(2.22471 + 7.34190i) q^{80} +(8.91922 + 1.20313i) q^{81} +(-10.2343 + 6.95901i) q^{82} +(6.42780 + 11.1333i) q^{83} +(-5.63606 + 7.22736i) q^{84} +(5.03431 - 8.71968i) q^{85} +(-0.0598644 - 0.812401i) q^{86} +(3.21596 + 6.02816i) q^{87} +(-0.557059 - 0.174110i) q^{88} +(-2.60109 - 1.50174i) q^{89} +(0.0530037 + 8.13675i) q^{90} +(-0.732405 + 2.84097i) q^{91} +(9.42914 + 3.72778i) q^{92} +(-8.80672 - 0.295317i) q^{93} +(-3.68545 + 7.62862i) q^{94} +9.58049i q^{95} +(-7.41158 - 6.40847i) q^{96} +(-7.35194 + 4.24465i) q^{97} +(-0.914788 - 9.85714i) q^{98} +(-0.514163 - 0.344738i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9}+O(q^{10}) \) 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9	\( 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9} - 18 q^{10} - 6 q^{12} + 18 q^{13} + 14 q^{14} + 14 q^{16} + 6 q^{17} - 10 q^{18} - 24 q^{20} + 4 q^{21} + 6 q^{22} - 6 q^{24} + 16 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 11 q^{30} - 18 q^{32} - 18 q^{33} - 24 q^{34} - 38 q^{36} + 2 q^{37} + 33 q^{38} + 6 q^{40} + 6 q^{41} - 38 q^{42} - 13 q^{44} - 54 q^{45} + 10 q^{46} + 9 q^{48} - 28 q^{49} - 17 q^{50} - 27 q^{52} - 2 q^{53} - 39 q^{54} + 58 q^{56} + 6 q^{57} - 13 q^{58} - 31 q^{60} - 8 q^{64} - 100 q^{65} + 30 q^{66} - 18 q^{68} - 18 q^{69} - 19 q^{70} + 26 q^{72} + 30 q^{73} - 23 q^{74} - 2 q^{77} + 15 q^{78} + 3 q^{80} - 32 q^{81} - 18 q^{82} + 23 q^{84} - 50 q^{85} - 9 q^{86} + q^{88} - 102 q^{89} - 39 q^{90} + 28 q^{92} - 36 q^{93} + 63 q^{96} + 6 q^{97} + 21 q^{98}+O(q^{100}) \) 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9 - 18 * q^10 - 6 * q^12 + 18 * q^13 + 14 * q^14 + 14 * q^16 + 6 * q^17 - 10 * q^18 - 24 * q^20 + 4 * q^21 + 6 * q^22 - 6 * q^24 + 16 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 11 * q^30 - 18 * q^32 - 18 * q^33 - 24 * q^34 - 38 * q^36 + 2 * q^37 + 33 * q^38 + 6 * q^40 + 6 * q^41 - 38 * q^42 - 13 * q^44 - 54 * q^45 + 10 * q^46 + 9 * q^48 - 28 * q^49 - 17 * q^50 - 27 * q^52 - 2 * q^53 - 39 * q^54 + 58 * q^56 + 6 * q^57 - 13 * q^58 - 31 * q^60 - 8 * q^64 - 100 * q^65 + 30 * q^66 - 18 * q^68 - 18 * q^69 - 19 * q^70 + 26 * q^72 + 30 * q^73 - 23 * q^74 - 2 * q^77 + 15 * q^78 + 3 * q^80 - 32 * q^81 - 18 * q^82 + 23 * q^84 - 50 * q^85 - 9 * q^86 + q^88 - 102 * q^89 - 39 * q^90 + 28 * q^92 - 36 * q^93 + 63 * q^96 + 6 * q^97 + 21 * q^98

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