LMFDB - Embedded newform 252.2.n.b.31.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(31,252)]

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, 1]))

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

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

chi := DirichletCharacter("252.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.n (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			31.15
Character	$\chi$	$=$	252.31
Dual form			252.2.n.b.187.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.795200 - 1.16947i) q^{2} +(0.815267 + 1.52818i) q^{3} +(-0.735314 + 1.85992i) q^{4} -1.91789i q^{5} +(1.13886 - 2.16864i) q^{6} +(1.85299 + 1.88850i) q^{7} +(2.75984 - 0.619084i) q^{8} +(-1.67068 + 2.49175i) q^{9} +O(q^{10})$	\(q+(-0.795200 - 1.16947i) q^{2} +(0.815267 + 1.52818i) q^{3} +(-0.735314 + 1.85992i) q^{4} -1.91789i q^{5} +(1.13886 - 2.16864i) q^{6} +(1.85299 + 1.88850i) q^{7} +(2.75984 - 0.619084i) q^{8} +(-1.67068 + 2.49175i) q^{9} +(-2.24291 + 1.52511i) q^{10} +0.206346i q^{11} +(-3.44178 + 0.392641i) q^{12} +(0.960331 + 0.554447i) q^{13} +(0.735050 - 3.66875i) q^{14} +(2.93088 - 1.56359i) q^{15} +(-2.91863 - 2.73525i) q^{16} +(4.54650 + 2.62492i) q^{17} +(4.24255 - 0.0276365i) q^{18} +(2.49766 + 4.32608i) q^{19} +(3.56713 + 1.41025i) q^{20} +(-1.37530 + 4.37133i) q^{21} +(0.241315 - 0.164086i) q^{22} -5.06964i q^{23} +(3.19608 + 3.71282i) q^{24} +1.32170 q^{25} +(-0.115246 - 1.56397i) q^{26} +(-5.16990 - 0.521654i) q^{27} +(-4.87500 + 2.05777i) q^{28} +(1.97233 + 3.41618i) q^{29} +(-4.15921 - 2.18421i) q^{30} +(-2.54371 - 4.40584i) q^{31} +(-0.877902 + 5.58832i) q^{32} +(-0.315334 + 0.168227i) 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} +(3.07307 - 6.36104i) q^{38} +(-0.0643697 + 1.91958i) q^{39} +(-1.18734 - 5.29308i) q^{40} +(-7.57882 - 4.37563i) q^{41} +(6.20577 - 1.86772i) q^{42} +(-0.498841 + 0.288006i) q^{43} +(-0.383788 - 0.151729i) q^{44} +(4.77891 + 3.20418i) q^{45} +(-5.92878 + 4.03138i) q^{46} +(2.99538 - 5.18815i) q^{47} +(1.80050 - 6.69016i) q^{48} +(-0.132882 + 6.99874i) q^{49} +(-1.05101 - 1.54568i) q^{50} +(-0.304746 + 9.08788i) q^{51} +(-1.73737 + 1.37845i) q^{52} +(-3.76097 + 6.51419i) q^{53} +(3.50105 + 6.46086i) q^{54} +0.395749 q^{55} +(6.28309 + 4.06482i) q^{56} +(-4.57477 + 7.34380i) q^{57} +(2.42672 - 5.02313i) q^{58} +(-5.39683 - 9.34759i) q^{59} +(0.753043 + 6.60095i) q^{60} +(-8.84666 - 5.10762i) q^{61} +(-3.12973 + 6.47831i) q^{62} +(-7.80143 + 1.46211i) q^{63} +(7.23347 - 3.41715i) q^{64} +(1.06337 - 1.84181i) q^{65} +(0.447490 + 0.234999i) q^{66} +(-7.33302 + 4.23372i) q^{67} +(-8.22525 + 6.52599i) q^{68} +(7.74733 - 4.13311i) q^{69} +(-7.03625 - 1.40974i) q^{70} +3.72234i q^{71} +(-3.06820 + 7.91114i) q^{72} +(-3.45583 - 1.99523i) q^{73} +(-3.37416 + 6.98427i) q^{74} +(1.07754 + 2.01979i) q^{75} +(-9.88275 + 1.46444i) q^{76} +(-0.389685 + 0.382356i) q^{77} +(2.29608 - 1.45117i) q^{78} +(15.1398 + 8.74099i) q^{79} +(-5.24592 + 5.59761i) q^{80} +(-3.41767 - 8.32584i) q^{81} +(0.909511 + 12.3427i) q^{82} +(-6.42780 - 11.1333i) q^{83} +(-7.11907 - 5.77225i) q^{84} +(5.03431 - 8.71968i) q^{85} +(0.733492 + 0.354356i) q^{86} +(-3.61256 + 5.79918i) q^{87} +(0.127745 + 0.569482i) 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} +(4.65911 - 7.47919i) q^{93} +(-8.44931 + 0.622614i) q^{94} +(8.29695 - 4.79025i) q^{95} +(-9.25569 + 3.21438i) q^{96} +(7.35194 - 4.24465i) q^{97} +(8.29047 - 5.41000i) q^{98} +(-0.514163 - 0.344738i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	$ 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

Display 100 coefficients 10 coefficients

Character values

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

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

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 $

$2$	−0.795200	−	1.16947i	−0.562291	−	0.826939i
$2$	−0.795200	−	1.16947i	−0.562291	−	0.826939i
$3$	0.815267	+	1.52818i	0.470695	+	0.882296i
$3$	0.815267	+	1.52818i	0.470695	+	0.882296i
$4$	−0.735314	+	1.85992i	−0.367657	+	0.929961i
$5$		−	1.91789i		−	0.857707i	−0.903374	−	0.428853i	$-0.858918\pi$
$5$		−	1.91789i		−	0.857707i	0.903374	−	0.428853i	$-0.141082\pi$
$6$	1.13886	−	2.16864i	0.464938	−	0.885343i
$7$	1.85299	+	1.88850i	0.700363	+	0.713787i
$7$	1.85299	+	1.88850i	0.700363	+	0.713787i
$8$	2.75984	−	0.619084i	0.975752	−	0.218879i
$9$	−1.67068	+	2.49175i	−0.556893	+	0.830584i
$10$	−2.24291	+	1.52511i	−0.709271	+	0.482281i
$11$			0.206346i			0.0622156i	0.999516	+	0.0311078i	$0.00990352\pi$
$11$			0.206346i			0.0622156i	−0.999516	+	0.0311078i	$0.990096\pi$
$12$	−3.44178	+	0.392641i	−0.993556	+	0.113346i
$13$	0.960331	+	0.554447i	0.266348	+	0.153776i	0.627227	−	0.778837i	$-0.284190\pi$
$13$	0.960331	+	0.554447i	0.266348	+	0.153776i	−0.360879	+	0.932613i	$0.617523\pi$
$14$	0.735050	−	3.66875i	0.196450	−	0.980514i
$15$	2.93088	−	1.56359i	0.756751	−	0.403718i
$16$	−2.91863	−	2.73525i	−0.729657	−	0.683814i
$17$	4.54650	+	2.62492i	1.10269	+	0.636637i	0.936926	−	0.349529i	$-0.113658\pi$
$17$	4.54650	+	2.62492i	1.10269	+	0.636637i	0.165762	+	0.986166i	$0.446992\pi$
$18$	4.24255	−	0.0276365i	0.999979	−	0.00651397i
$19$	2.49766	+	4.32608i	0.573004	+	0.992471i	0.996255	+	0.0864592i	$0.0275552\pi$
$19$	2.49766	+	4.32608i	0.573004	+	0.992471i	−0.423252	+	0.906012i	$0.639111\pi$
$20$	3.56713	+	1.41025i	0.797634	+	0.315342i
$21$	−1.37530	+	4.37133i	−0.300114	+	0.953903i
$22$	0.241315	−	0.164086i	0.0514486	−	0.0349833i
$23$		−	5.06964i		−	1.05709i	−0.848904	−	0.528546i	$-0.822737\pi$
$23$		−	5.06964i		−	1.05709i	0.848904	−	0.528546i	$-0.177263\pi$
$24$	3.19608	+	3.71282i	0.652398	+	0.757877i
$25$	1.32170			0.264339
$26$	−0.115246	−	1.56397i	−0.0226017	−	0.306720i
$27$	−5.16990	−	0.521654i	−0.994948	−	0.100392i
$28$	−4.87500	+	2.05777i	−0.921288	+	0.388882i
$29$	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	$0.713974\pi$
$30$	−4.15921	−	2.18421i	−0.759365	−	0.398780i
$31$	−2.54371	−	4.40584i	−0.456864	−	0.791312i	0.541929	−	0.840424i	$-0.317694\pi$
$31$	−2.54371	−	4.40584i	−0.456864	−	0.791312i	−0.998793	+	0.0491124i	$0.984361\pi$
$32$	−0.877902	+	5.58832i	−0.155193	+	0.987884i
$33$	−0.315334	+	0.168227i	−0.0548926	+	0.0292846i
$34$	−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	0.547595	−	0.836744i	$-0.315544\pi$
$37$	−2.74238	−	4.74993i	−0.450844	−	0.780884i	−0.998439	+	0.0558592i	$0.982210\pi$
$38$	3.07307	−	6.36104i	0.498518	−	1.03190i
$39$	−0.0643697	+	1.91958i	−0.0103074	+	0.307379i
$40$	−1.18734	−	5.29308i	−0.187734	−	0.836909i
$41$	−7.57882	−	4.37563i	−1.18361	−	0.683359i	−0.226765	−	0.973949i	$-0.572815\pi$
$41$	−7.57882	−	4.37563i	−1.18361	−	0.683359i	−0.956848	+	0.290590i	$0.906148\pi$
$42$	6.20577	−	1.86772i	0.957572	−	0.288196i
$43$	−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	$0.347318\pi$
$44$	−0.383788	−	0.151729i	−0.0578581	−	0.0228740i
$45$	4.77891	+	3.20418i	0.712398	+	0.477651i
$46$	−5.92878	+	4.03138i	−0.874152	+	0.594394i
$47$	2.99538	−	5.18815i	0.436921	−	0.756770i	−0.560529	−	0.828135i	$-0.689402\pi$
$47$	2.99538	−	5.18815i	0.436921	−	0.756770i	0.997450	+	0.0713650i	$0.0227355\pi$
$48$	1.80050	−	6.69016i	0.259880	−	0.965641i
$49$	−0.132882	+	6.99874i	−0.0189832	+	0.999820i
$50$	−1.05101	−	1.54568i	−0.148636	−	0.218593i
$51$	−0.304746	+	9.08788i	−0.0426729	+	1.27256i
$52$	−1.73737	+	1.37845i	−0.240930	+	0.191156i
$53$	−3.76097	+	6.51419i	−0.516609	+	0.894793i	0.483205	+	0.875507i	$0.339473\pi$
$53$	−3.76097	+	6.51419i	−0.516609	+	0.894793i	−0.999814	+	0.0192859i	$0.993861\pi$
$54$	3.50105	+	6.46086i	0.476432	+	0.879211i
$55$	0.395749			0.0533628
$56$	6.28309	+	4.06482i	0.839614	+	0.543184i
$57$	−4.57477	+	7.34380i	−0.605944	+	0.972710i
$58$	2.42672	−	5.02313i	0.318643	−	0.659569i
$59$	−5.39683	−	9.34759i	−0.702608	−	1.21695i	−0.967548	−	0.252688i	$-0.918685\pi$
$59$	−5.39683	−	9.34759i	−0.702608	−	1.21695i	0.264940	−	0.964265i	$-0.414648\pi$
$60$	0.753043	+	6.60095i	0.0972174	+	0.852179i
$61$	−8.84666	−	5.10762i	−1.13270	−	0.653964i	−0.188087	−	0.982152i	$-0.560229\pi$
$61$	−8.84666	−	5.10762i	−1.13270	−	0.653964i	−0.944612	+	0.328188i	$0.893562\pi$
$62$	−3.12973	+	6.47831i	−0.397476	+	0.822746i
$63$	−7.80143	+	1.46211i	−0.982887	+	0.184208i
$64$	7.23347	−	3.41715i	0.904184	−	0.427144i
$65$	1.06337	−	1.84181i	0.131895	−	0.228448i
$66$	0.447490	+	0.234999i	0.0550822	+	0.0289264i
$67$	−7.33302	+	4.23372i	−0.895871	+	0.517231i	−0.875858	−	0.482569i	$-0.839704\pi$
$67$	−7.33302	+	4.23372i	−0.895871	+	0.517231i	−0.0200125	+	0.999800i	$0.506371\pi$
$68$	−8.22525	+	6.52599i	−0.997458	+	0.791393i
$69$	7.74733	−	4.13311i	0.932669	−	0.497568i
$70$	−7.03625	−	1.40974i	−0.840993	−	0.168497i
$71$			3.72234i			0.441761i	0.975301	+	0.220880i	$0.0708931\pi$
$71$			3.72234i			0.441761i	−0.975301	+	0.220880i	$0.929107\pi$
$72$	−3.06820	+	7.91114i	−0.361591	+	0.932337i
$73$	−3.45583	−	1.99523i	−0.404474	−	0.233523i	0.283938	−	0.958843i	$-0.408359\pi$
$73$	−3.45583	−	1.99523i	−0.404474	−	0.233523i	−0.688413	+	0.725319i	$0.741692\pi$
$74$	−3.37416	+	6.98427i	−0.392238	+	0.811905i
$75$	1.07754	+	2.01979i	0.124423	+	0.233226i
$76$	−9.88275	+	1.46444i	−1.13363	+	0.167982i
$77$	−0.389685	+	0.382356i	−0.0444087	+	0.0435735i
$78$	2.29608	−	1.45117i	0.259980	−	0.164313i
$79$	15.1398	+	8.74099i	1.70337	+	0.983439i	0.942303	+	0.334760i	$0.108655\pi$
$79$	15.1398	+	8.74099i	1.70337	+	0.983439i	0.761063	+	0.648678i	$0.224678\pi$
$80$	−5.24592	+	5.59761i	−0.586511	+	0.625831i
$81$	−3.41767	−	8.32584i	−0.379741	−	0.925093i
$82$	0.909511	+	12.3427i	0.100439	+	1.36302i
$83$	−6.42780	−	11.1333i	−0.705542	−	1.22204i	−0.966495	−	0.256684i	$-0.917370\pi$
$83$	−6.42780	−	11.1333i	−0.705542	−	1.22204i	0.260953	−	0.965352i	$-0.415963\pi$
$84$	−7.11907	−	5.77225i	−0.776754	−	0.629804i
$85$	5.03431	−	8.71968i	0.546048	−	0.945782i
$86$	0.733492	+	0.354356i	0.0790945	+	0.0382112i
$87$	−3.61256	+	5.79918i	−0.387308	+	0.621737i
$88$	0.127745	+	0.569482i	0.0136177	+	0.0607070i
$89$	−2.60109	+	1.50174i	−0.275716	+	0.159184i	−0.631482	−	0.775390i	$-0.717553\pi$
$89$	−2.60109	+	1.50174i	−0.275716	+	0.159184i	0.355767	+	0.934575i	$0.384220\pi$
$90$	−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
$93$	4.65911	−	7.47919i	0.483128	−	0.775556i
$94$	−8.44931	+	0.622614i	−0.871480	+	0.0642178i
$95$	8.29695	−	4.79025i	0.851249	−	0.491469i
$96$	−9.25569	+	3.21438i	−0.944655	+	0.328066i
$97$	7.35194	−	4.24465i	0.746477	−	0.430979i	−0.0779427	−	0.996958i	$-0.524835\pi$
$97$	7.35194	−	4.24465i	0.746477	−	0.430979i	0.824419	+	0.565979i	$0.191502\pi$
$98$	8.29047	−	5.41000i	0.837464	−	0.546492i
$99$	−0.514163	−	0.344738i	−0.0516753	−	0.0346474i
$100$	−0.971862	+	2.45826i	−0.0971862	+	0.245826i
$101$		−	13.4176i		−	1.33510i	−0.744563	−	0.667552i	$-0.767342\pi$
$101$		−	13.4176i		−	1.33510i	0.744563	−	0.667552i	$-0.232658\pi$
$102$	10.8703	−	6.87030i	1.07632	−	0.680261i
$103$	13.8786			1.36750			0.683752	−	0.729715i	$-0.260347\pi$
$103$	13.8786			1.36750			0.683752	+	0.729715i	$0.260347\pi$
$104$	2.99361	+	0.935662i	0.293548	+	0.0917492i
$105$	8.38374	+	2.63767i	0.818169	+	0.257410i
$106$	10.6089	−	0.781748i	1.03042	−	0.0759301i
$107$	−14.4769	+	8.35825i	−1.39954	+	0.808023i	−0.994344	−	0.106208i	$-0.966129\pi$
$107$	−14.4769	+	8.35825i	−1.39954	+	0.808023i	−0.405193	+	0.914231i	$0.632796\pi$
$108$	4.77174	−	9.23204i	0.459161	−	0.888353i
$109$	7.48608	−	12.9663i	0.717037	−	1.24194i	−0.245132	−	0.969490i	$-0.578831\pi$
$109$	7.48608	−	12.9663i	0.717037	−	1.24194i	0.962169	−	0.272454i	$-0.0878354\pi$
$110$	−0.314699	−	0.462816i	−0.0300054	−	0.0441278i
$111$	5.02299	−	8.06332i	0.476761	−	0.765336i
$112$	−0.242641	−	10.5802i	−0.0229275	−	0.999737i
$113$	−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	$0.972805\pi$
$114$	12.2262	−	0.489733i	1.14509	−	0.0458677i
$115$	−9.72301			−0.906676
$116$	−7.80411	+	1.15642i	−0.724594	+	0.107371i
$117$	−2.98595	+	1.46660i	−0.276051	+	0.135588i
$118$	−6.64015	+	13.7446i	−0.611276	+	1.26530i
$119$	3.46743	+	13.4500i	0.317858	+	1.23296i
$120$	7.12079	−	6.12974i	0.650036	−	0.559566i
$121$	10.9574			0.996129
$122$	1.06166	+	14.4075i	0.0961183	+	1.30439i
$123$	0.507998	−	15.1491i	0.0458047	−	1.36595i
$124$	10.0649	−	1.49143i	0.903859	−	0.133935i
$125$		−	12.1243i		−	1.08443i
$126$	7.91358	+	7.96086i	0.704998	+	0.709210i
$127$		−	14.4305i		−	1.28050i	−0.768168	−	0.640248i	$-0.778832\pi$
$127$		−	14.4305i		−	1.28050i	0.768168	−	0.640248i	$-0.221168\pi$
$128$	−9.74831	−	5.74200i	−0.861637	−	0.507526i
$129$	−0.846814	−	0.527518i	−0.0745578	−	0.0464453i
$130$	−2.99953	+	0.221030i	−0.263076	+	0.0193856i
$131$	8.79422			0.768354			0.384177	−	0.923259i	$-0.374485\pi$
$131$	8.79422			0.768354			0.384177	+	0.923259i	$0.374485\pi$
$132$	−0.0810199	−	0.710197i	−0.00705188	−	0.0618147i
$133$	−3.54168	+	12.7330i	−0.307102	+	1.10409i
$134$	10.7824	+	5.20908i	0.931459	+	0.449996i
$135$	−1.00048	+	9.91530i	−0.0861073	+	0.853373i
$136$	14.1727	+	4.42971i	1.21530	+	0.379844i
$137$	−13.1476			−1.12328			−0.561638	−	0.827383i	$-0.689829\pi$
$137$	−13.1476			−1.12328			−0.561638	+	0.827383i	$0.689829\pi$
$138$	−10.9942	−	5.77361i	−0.935890	−	0.491482i
$139$	4.02189	−	6.96611i	0.341132	−	0.590858i	−0.643511	−	0.765437i	$-0.722523\pi$
$139$	4.02189	−	6.96611i	0.341132	−	0.590858i	0.984643	+	0.174579i	$0.0558563\pi$
$140$	3.94658	+	9.34971i	0.333547	+	0.790194i
$141$	10.3705	+	0.347755i	0.873352	+	0.0292863i
$142$	4.35316	−	2.96001i	0.365309	−	0.248398i
$143$	−0.114408	+	0.198160i	−0.00956727	+	0.0165710i
$144$	11.6917	−	2.70277i	0.974305	−	0.225231i
$145$	6.55186	−	3.78272i	0.544102	−	0.314137i
$146$	0.414724	+	5.62809i	0.0343228	+	0.465784i
$147$	−10.8037	+	5.50277i	−0.891072	+	0.453861i
$148$	10.8510	−	1.60792i	0.891948	−	0.132170i
$149$	5.85260			0.479464			0.239732	−	0.970839i	$-0.422940\pi$
$149$	5.85260			0.479464			0.239732	+	0.970839i	$0.422940\pi$
$150$	1.50523	−	2.86629i	0.122901	−	0.234031i
$151$			6.03842i			0.491399i	0.969346	+	0.245700i	$0.0790177\pi$
$151$			6.03842i			0.491399i	−0.969346	+	0.245700i	$0.920982\pi$
$152$	9.57137	+	10.3930i	0.776341	+	0.842987i
$153$	−14.1364	+	6.94335i	−1.14286	+	0.561336i
$154$	0.757031	+	0.151674i	0.0610033	+	0.0122223i
$155$	−8.44991	+	4.87856i	−0.678713	+	0.391855i
$156$	−3.52294	−	1.53122i	−0.282061	−	0.122596i
$157$	−15.5077	+	8.95337i	−1.23765	+	0.714557i	−0.968613	−	0.248573i	$-0.920038\pi$
$157$	−15.5077	+	8.95337i	−1.23765	+	0.714557i	−0.269036	+	0.963130i	$0.586705\pi$
$158$	−1.81689	−	24.6564i	−0.144544	−	1.96156i
$159$	−13.0211	−	0.436638i	−1.03264	−	0.0346276i
$160$	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	$-0.671288\pi$
$163$	−0.321043	+	0.185354i	−0.0251460	+	0.0145181i	0.487374	+	0.873193i	$0.337955\pi$
$164$	13.7112	−	10.8786i	1.07066	−	0.849472i
$165$	0.322641	+	0.604776i	0.0251176	+	0.0470818i
$166$	−7.90863	+	16.3703i	−0.613829	+	1.27058i
$167$	−4.39096	+	7.60536i	−0.339783	+	0.588521i	−0.984392	−	0.175992i	$-0.943687\pi$
$167$	−4.39096	+	7.60536i	−0.339783	+	0.588521i	0.644609	+	0.764512i	$0.277020\pi$
$168$	−1.08938	+	12.9156i	−0.0840471	+	0.996462i
$169$	−5.88518	−	10.1934i	−0.452706	−	0.784110i
$170$	−14.2007	+	1.04642i	−1.08914	+	0.0802569i
$171$	−14.9523	−	1.00393i	−1.14343	−	0.0767722i
$172$	−0.168864	−	1.13958i	−0.0128758	−	0.0868922i
$173$	5.60547	+	3.23632i	0.426176	+	0.246053i	0.697716	−	0.716374i	$-0.254200\pi$
$173$	5.60547	+	3.23632i	0.426176	+	0.246053i	−0.271540	+	0.962427i	$0.587533\pi$
$174$	9.65467	−	0.386728i	0.731919	−	0.0293178i
$175$	2.44909	+	2.49603i	0.185134	+	0.188682i
$176$	0.564409	−	0.602247i	0.0425439	−	0.0453961i
$177$	9.88495	−	15.8681i	0.742999	−	1.19272i
$178$	3.82463	+	1.84771i	0.286668	+	0.138492i
$179$	2.55561	+	1.47548i	0.191016	+	0.110283i	0.592458	−	0.805601i	$-0.298158\pi$
$179$	2.55561	+	1.47548i	0.191016	+	0.110283i	−0.401442	+	0.915884i	$0.631491\pi$
$180$	−9.47352	+	6.53233i	−0.706115	+	0.486891i
$181$			9.25656i			0.688035i	0.938963	+	0.344017i	$0.111788\pi$
$181$			9.25656i			0.688035i	−0.938963	+	0.344017i	$0.888212\pi$
$182$	2.74002	−	3.11566i	0.203104	−	0.230948i
$183$	0.592980	−	17.6834i	0.0438343	−	1.30719i
$184$	−3.13853	−	13.9914i	−0.231376	−	1.03146i
$185$	−9.10985	+	5.25958i	−0.669770	+	0.386692i
$186$	−12.4516	+	0.498762i	−0.912996	+	0.0365710i
$187$	−0.541642	+	0.938151i	−0.0396088	+	0.0686044i
$188$	7.44702	+	9.38610i	0.543130	+	0.684552i
$189$	−8.59461	−	10.7300i	−0.625166	−	0.780492i
$190$	−12.1998	−	5.89382i	−0.885065	−	0.427583i
$191$	10.0896	+	5.82522i	0.730057	+	0.421498i	0.818443	−	0.574588i	$-0.194838\pi$
$191$	10.0896	+	5.82522i	0.730057	+	0.421498i	−0.0883862	+	0.996086i	$0.528171\pi$
$192$	11.1192	+	8.26816i	0.802462	+	0.596703i
$193$	11.1654	+	19.3391i	0.803704	+	1.39206i	0.917163	+	0.398513i	$0.130474\pi$
$193$	11.1654	+	19.3391i	0.803704	+	1.39206i	−0.113459	+	0.993543i	$0.536193\pi$
$194$	−10.8102	−	5.22252i	−0.776131	−	0.374955i
$195$	3.68155	+	0.123454i	0.263641	+	0.00884073i
$196$	−12.9194	−	5.39342i	−0.922815	−	0.385244i
$197$	−0.264829			−0.0188683			−0.00943413	−	0.999955i	$-0.503003\pi$
$197$	−0.264829			−0.0188683			−0.00943413	+	0.999955i	$0.503003\pi$
$198$	0.00570267	+	0.875433i	0.000405271	+	0.0622143i
$199$	3.40795	−	5.90274i	0.241583	−	0.418434i	−0.719582	−	0.694407i	$-0.755667\pi$
$199$	3.40795	−	5.90274i	0.241583	−	0.418434i	0.961165	+	0.275973i	$0.0890001\pi$
$200$	3.64768	−	0.818242i	0.257930	−	0.0578584i
$201$	−12.4483	−	7.75457i	−0.878033	−	0.546965i
$202$	−15.6915	+	10.6697i	−1.10405	+	0.750717i
$203$	−2.79676	+	10.0549i	−0.196294	+	0.705715i
$204$	−16.6787	−	7.24925i	−1.16774	−	0.507549i
$205$	−8.39198	+	14.5353i	−0.586122	+	1.01519i
$206$	−11.0363	−	16.2306i	−0.768935	−	1.13084i
$207$	12.6323	+	8.46974i	0.878005	+	0.588687i
$208$	−1.28629	−	4.24497i	−0.0891884	−	0.294336i
$209$	−0.892669	+	0.515383i	−0.0617472	+	0.0356498i
$210$	−3.58208	−	11.9020i	−0.247187	−	0.821315i
$211$	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	$0.596970\pi$
$212$	−9.35040	−	11.7851i	−0.642188	−	0.809403i
$213$	−5.68842	+	3.03471i	−0.389764	+	0.207935i
$214$	21.2868	+	10.2838i	1.45513	+	0.702988i
$215$	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
$219$	0.231640	−	6.90778i	0.0156528	−	0.466785i
$220$	−0.291000	+	0.736062i	−0.0196192	+	0.0496253i
$221$	2.91076	+	5.04158i	0.195799	+	0.339134i
$222$	−13.4241	+	0.537715i	−0.900965	+	0.0360891i
$223$	−0.851991	−	1.47569i	−0.0570535	−	0.0988196i	0.836088	−	0.548595i	$-0.184837\pi$
$223$	−0.851991	−	1.47569i	−0.0570535	−	0.0988196i	−0.893142	+	0.449776i	$0.851504\pi$
$224$	−12.1803	+	8.69716i	−0.813830	+	0.581103i
$225$	−2.20813	+	3.29334i	−0.147209	+	0.219556i
$226$	17.1539	−	1.26404i	1.14106	−	0.0840827i
$227$	9.71010			0.644482			0.322241	−	0.946658i	$-0.395564\pi$
$227$	9.71010			0.644482			0.322241	+	0.946658i	$0.395564\pi$
$228$	−10.2950	−	13.9087i	−0.681803	−	0.921128i
$229$			5.67812i			0.375221i	0.982244	+	0.187610i	$0.0600742\pi$
$229$			5.67812i			0.375221i	−0.982244	+	0.187610i	$0.939926\pi$
$230$	7.73174	+	11.3708i	0.509816	+	0.749766i
$231$	−0.902007	−	0.283787i	−0.0593477	−	0.0186718i
$232$	7.55823	+	8.20708i	0.496222	+	0.538821i
$233$	12.4702	+	21.5990i	0.816951	+	1.41500i	0.907918	+	0.419147i	$0.137671\pi$
$233$	12.4702	+	21.5990i	0.816951	+	1.41500i	−0.0909673	+	0.995854i	$0.528996\pi$
$234$	4.08957	+	2.32573i	0.267344	+	0.152038i
$235$	−9.95031	−	5.74481i	−0.649086	−	0.374750i
$236$	21.3542	−	3.16428i	1.39004	−	0.205977i
$237$	−1.01480	+	30.2627i	−0.0659186	+	1.96577i
$238$	12.9721	−	14.7505i	0.840854	−	0.956133i
$239$	−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	$0.682550\pi$
$240$	−12.8310	−	3.45317i	−0.828236	−	0.222901i
$241$			18.7033i			1.20478i	0.798200	+	0.602392i	$0.205786\pi$
$241$			18.7033i			1.20478i	−0.798200	+	0.602392i	$0.794214\pi$
$242$	−8.71334	−	12.8144i	−0.560115	−	0.823738i
$243$	9.93708	−	12.0106i	0.637464	−	0.770480i
$244$	16.0049	−	12.6984i	1.02461	−	0.812932i
$245$	13.4228	+	0.254854i	0.857552	+	0.0162820i
$246$	−18.1204	+	11.4525i	−1.15531	+	0.730184i
$247$			5.53929i			0.352457i
$248$	−9.74783	−	10.5846i	−0.618988	−	0.672126i
$249$	11.7733	−	18.8994i	0.746102	−	1.19770i
$250$	−14.1790	+	9.64126i	−0.896760	+	0.609767i
$251$	2.65609			0.167651			0.0838256	−	0.996480i	$-0.473286\pi$
$251$	2.65609			0.167651			0.0838256	+	0.996480i	$0.473286\pi$
$252$	3.01709	−	15.5852i	0.190059	−	0.981773i
$253$	1.04610			0.0657677
$254$	−16.8760	+	11.4751i	−1.05889	+	0.720012i
$255$	17.4296	+	0.584469i	1.09148	+	0.0366008i
$256$	1.03677	+	15.9664i	0.0647979	+	0.997898i
$257$		−	12.3089i		−	0.767806i	−0.923374	−	0.383903i	$-0.874580\pi$
$257$		−	12.3089i		−	0.767806i	0.923374	−	0.383903i	$-0.125420\pi$
$258$	0.0564712	+	1.40980i	0.00351574	+	0.0877706i
$259$	3.88868	−	13.9805i	0.241631	−	0.868709i
$260$	2.64371	+	3.33209i	0.163956	+	0.206648i
$261$	−11.8074	−	0.792771i	−0.730860	−	0.0490713i
$262$	−6.99316	−	10.2846i	−0.432039	−	0.635382i
$263$		−	4.63035i		−	0.285520i	−0.989757	−	0.142760i	$-0.954402\pi$
$263$		−	4.63035i		−	0.285520i	0.989757	−	0.142760i	$-0.0455976\pi$
$264$	−0.766126	+	0.659499i	−0.0471518	+	0.0405893i
$265$	12.4935	+	7.21313i	0.767470	+	0.443099i
$266$	17.7072	−	5.98341i	1.08570	−	0.366867i
$267$	−4.41552	−	2.75062i	−0.270226	−	0.168335i
$268$	−2.48232	−	16.7520i	−0.151632	−	1.02329i
$269$	−11.0919	−	6.40393i	−0.676287	−	0.390454i	0.122168	−	0.992509i	$-0.461015\pi$
$269$	−11.0919	−	6.40393i	−0.676287	−	0.390454i	−0.798454	+	0.602055i	$0.794349\pi$
$270$	12.3912	−	6.71462i	0.754105	−	0.408639i
$271$	−6.47391	−	11.2131i	−0.393262	−	0.681150i	0.599616	−	0.800288i	$-0.295320\pi$
$271$	−6.47391	−	11.2131i	−0.393262	−	0.681150i	−0.992878	+	0.119138i	$0.961987\pi$
$272$	−6.08970	−	20.0970i	−0.369242	−	1.21856i
$273$	−3.74441	+	3.43540i	−0.226622	+	0.207920i
$274$	10.4550	+	15.3757i	0.631608	+	0.928881i
$275$			0.272727i			0.0164460i
$276$	1.99055	+	17.4486i	0.119817	+	1.05028i
$277$	−26.5825			−1.59719			−0.798594	−	0.601870i	$-0.794423\pi$
$277$	−26.5825			−1.59719			−0.798594	+	0.601870i	$0.794423\pi$
$278$	−11.3449	+	0.835982i	−0.680419	+	0.0501389i
$279$	15.2280	+	1.02244i	0.911675	+	0.0612116i
$280$	7.79587	−	12.0503i	0.465892	−	0.720142i
$281$	−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	$0.900449\pi$
$282$	−7.83991	−	12.4045i	−0.466860	−	0.738676i
$283$	−2.31190	−	4.00434i	−0.137428	−	0.238033i	0.789094	−	0.614272i	$-0.210550\pi$
$283$	−2.31190	−	4.00434i	−0.137428	−	0.238033i	−0.926523	+	0.376239i	$0.877217\pi$
$284$	−6.92327	−	2.73709i	−0.410821	−	0.162416i
$285$	14.0846	+	8.77391i	0.834300	+	0.519722i
$286$	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
$290$	−9.63380	−	4.65417i	−0.565716	−	0.273303i
$291$	12.4804	+	7.77458i	0.731614	+	0.455754i
$292$	6.25209	−	4.96046i	0.365876	−	0.290289i
$293$	−1.27196	−	0.734365i	−0.0743085	−	0.0429020i	0.462385	−	0.886679i	$-0.346994\pi$
$293$	−1.27196	−	0.734365i	−0.0743085	−	0.0429020i	−0.536694	+	0.843777i	$0.680327\pi$
$294$	15.0264	+	8.25876i	0.876358	+	0.481660i
$295$	−17.9277	+	10.3505i	−1.04379	+	0.602631i
$296$	−10.5091	−	11.4113i	−0.610831	−	0.663269i
$297$	0.107641	−	1.06679i	0.00624598	−	0.0619013i
$298$	−4.65399	−	6.84444i	−0.269598	−	0.396488i
$299$	2.81085	−	4.86853i	0.162556	−	0.281554i
$300$	−4.54899	+	0.518953i	−0.262636	+	0.0299618i
$301$	−1.46825	−	0.408391i	−0.0846283	−	0.0235393i
$302$	7.06174	−	4.80175i	0.406357	−	0.276310i
$303$	20.5046	−	10.9390i	1.17796	−	0.628426i
$304$	4.54318	−	19.4580i	0.260569	−	1.11599i
$305$	−9.79586	+	16.9669i	−0.560909	+	0.971523i
$306$	19.3613	+	11.0107i	1.10681	+	0.629440i
$307$	−20.8816			−1.19177			−0.595887	−	0.803068i	$-0.703199\pi$
$307$	−20.8816			−1.19177			−0.595887	+	0.803068i	$0.703199\pi$
$308$	−0.424612	−	1.00594i	−0.0241945	−	0.0573185i
$309$	11.3148	+	21.2091i	0.643677	+	1.20654i
$310$	12.4247	+	6.00248i	0.705675	+	0.340918i
$311$	5.69189	+	9.85864i	0.322757	+	0.559032i	0.981056	−	0.193725i	$-0.0620569\pi$
$311$	5.69189	+	9.85864i	0.322757	+	0.559032i	−0.658299	+	0.752757i	$0.728724\pi$
$312$	1.01073	+	5.33760i	0.0572215	+	0.302182i
$313$	−15.8712	−	9.16322i	−0.897091	−	0.517936i	−0.0208356	−	0.999783i	$-0.506633\pi$
$313$	−15.8712	−	9.16322i	−0.897091	−	0.517936i	−0.876255	+	0.481847i	$0.839966\pi$
$314$	22.8024	+	11.0160i	1.28681	+	0.621671i
$315$	2.80416	+	14.9623i	0.157996	+	0.843029i
$316$	−27.3901	+	21.7316i	−1.54081	+	1.22250i
$317$	−4.83733	+	8.37850i	−0.271692	+	0.470584i	−0.969295	−	0.245900i	$-0.920916\pi$
$317$	−4.83733	+	8.37850i	−0.271692	+	0.470584i	0.697604	+	0.716484i	$0.254250\pi$
$318$	9.84372	+	15.5749i	0.552008	+	0.873399i
$319$	−0.704915	+	0.406983i	−0.0394676	+	0.0227867i
$320$	−6.55372	−	13.8730i	−0.366364	−	0.775524i
$321$	−24.5755	−	15.3092i	−1.37167	−	0.854474i
$322$	−18.5992	−	3.72644i	−1.03649	−	0.207666i
$323$			26.2247i			1.45918i
$324$	17.9985	−	0.234498i	0.999915	−	0.0130277i
$325$	1.26927	+	0.732811i	0.0704062	+	0.0406491i
$326$	0.472059	+	0.228056i	0.0261449	+	0.0126308i
$327$	25.9180	+	0.869113i	1.43327	+	0.0480620i
$328$	−23.6252	−	7.38413i	−1.30449	−	0.407721i
$329$	15.3482	−	3.95679i	0.846176	−	0.218145i
$330$	0.450702	−	0.858237i	0.0248104	−	0.0472444i
$331$	−3.74675	−	2.16319i	−0.205940	−	0.118900i	0.393483	−	0.919332i	$-0.371270\pi$
$331$	−3.74675	−	2.16319i	−0.205940	−	0.118900i	−0.599423	+	0.800432i	$0.704603\pi$
$332$	25.4335	−	3.76876i	1.39584	−	0.206838i
$333$	16.4173	+	1.10229i	0.899662	+	0.0604050i
$334$	12.3859	−	0.912696i	0.677727	−	0.0499405i
$335$	8.11981	+	14.0639i	0.443633	+	0.768394i
$336$	15.9707	−	8.99651i	0.871272	−	0.490800i
$337$	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	$-0.159934\pi$
$338$	−7.24100	+	14.9883i	−0.393858	+	0.815258i
$339$	−21.0543	−	0.706017i	−1.14351	−	0.0383456i
$340$	12.5161	+	15.7751i	0.678783	+	0.855527i
$341$	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
$345$	−7.92685	−	14.8585i	−0.426768	−	0.799956i
$346$	−0.672695	−	9.12894i	−0.0361643	−	0.490775i
$347$	−19.4699	+	11.2409i	−1.04520	+	0.603444i	−0.921301	−	0.388851i	$-0.872872\pi$
$347$	−19.4699	+	11.2409i	−1.04520	+	0.603444i	−0.123896	+	0.992295i	$0.539539\pi$
$348$	−8.12966	−	10.9833i	−0.435796	−	0.588767i
$349$	14.4924	−	8.36721i	0.775762	−	0.447886i	−0.0591641	−	0.998248i	$-0.518844\pi$
$349$	14.4924	−	8.36721i	0.775762	−	0.447886i	0.834926	+	0.550362i	$0.185510\pi$
$350$	0.971513	−	4.84897i	0.0519296	−	0.259189i
$351$	−4.67558	−	3.36740i	−0.249564	−	0.179738i
$352$	−1.15313	−	0.181152i	−0.0614618	−	0.00965541i
$353$			7.87697i			0.419249i	0.977782	+	0.209624i	$0.0672241\pi$
$353$			7.87697i			0.419249i	−0.977782	+	0.209624i	$0.932776\pi$
$354$	−26.4178	+	1.05819i	−1.40409	+	0.0562423i
$355$	7.13905			0.378901
$356$	−0.880505	−	5.94209i	−0.0466667	−	0.314930i
$357$	−17.7272	+	16.2642i	−0.938222	+	0.860793i
$358$	−0.306691	−	4.16201i	−0.0162091	−	0.219969i
$359$	12.5114	−	7.22346i	0.660327	−	0.381240i	−0.132075	−	0.991240i	$-0.542164\pi$
$359$	12.5114	−	7.22346i	0.660327	−	0.381240i	0.792401	+	0.610000i	$0.208831\pi$
$360$	15.1727	+	5.88448i	0.799671	+	0.310139i
$361$	−2.97666	+	5.15572i	−0.156666	+	0.271354i
$362$	10.8253	−	7.36082i	0.568963	−	0.386876i
$363$	8.93323	+	16.7449i	0.468873	+	0.878881i
$364$	−5.82253	−	0.726788i	−0.305184	−	0.0380940i
$365$	−3.82662	+	6.62790i	−0.200295	+	0.346920i
$366$	−21.1517	+	13.3684i	−1.10562	+	0.698775i
$367$	−17.9349			−0.936194			−0.468097	−	0.883677i	$-0.655060\pi$
$367$	−17.9349			−0.936194			−0.468097	+	0.883677i	$0.655060\pi$
$368$	−13.8668	+	14.7964i	−0.722855	+	0.771315i
$369$	23.5648	−	11.5743i	1.22673	−	0.602533i
$370$	13.3951	+	6.47127i	0.696376	+	0.336425i
$371$	−19.2711	+	4.96811i	−1.00051	+	0.257931i
$372$	10.4848	+	14.1651i	0.543612	+	0.734429i
$373$	−33.4878			−1.73393			−0.866966	−	0.498367i	$-0.833933\pi$
$373$	−33.4878			−1.73393			−0.866966	+	0.498367i	$0.833933\pi$
$374$	1.52785	−	0.112585i	0.0790033	−	0.00582161i
$375$	18.5282	−	9.88456i	0.956790	−	0.510437i
$376$	5.05488	−	16.1729i	0.260686	−	0.834053i
$377$			4.37422i			0.225284i
$378$	−5.71395	+	18.5836i	−0.293894	+	0.955838i
$379$			21.4768i			1.10319i	0.834113	+	0.551594i	$0.185980\pi$
$379$			21.4768i			1.10319i	−0.834113	+	0.551594i	$0.814020\pi$
$380$	2.80863	+	18.9540i	0.144079	+	0.972321i
$381$	22.0524	−	11.7647i	1.12978	−	0.602723i
$382$	−1.21082	−	16.4317i	−0.0619510	−	0.840717i
$383$	−10.7156			−0.547542			−0.273771	−	0.961795i	$-0.588271\pi$
$383$	−10.7156			−0.547542			−0.273771	+	0.961795i	$0.588271\pi$
$384$	0.827340	−	19.5784i	0.0422200	−	0.999108i
$385$	0.733317	+	0.747373i	0.0373733	+	0.0380896i
$386$	13.7377	−	28.4360i	0.699230	−	1.44735i
$387$	0.115763	−	1.72415i	0.00588456	−	0.0876437i
$388$	2.48873	+	16.7952i	0.126346	+	0.852647i
$389$	7.91710			0.401413			0.200706	−	0.979651i	$-0.435676\pi$
$389$	7.91710			0.401413			0.200706	+	0.979651i	$0.435676\pi$
$390$	−2.78319	−	4.40363i	−0.140932	−	0.222986i
$391$	13.3074	−	23.0491i	0.672984	−	1.16564i
$392$	3.96607	+	19.3977i	0.200317	+	0.979731i
$393$	7.16964	+	13.4392i	0.361660	+	0.677916i
$394$	0.210592	+	0.309709i	0.0106095	+	0.0156029i
$395$	16.7643	−	29.0366i	0.843502	−	1.46099i
$396$	1.01926	−	0.702813i	0.0512196	−	0.0353177i
$397$	12.1759	−	7.02978i	0.611093	−	0.352815i	−0.162300	−	0.986741i	$-0.551891\pi$
$397$	12.1759	−	7.02978i	0.611093	−	0.352815i	0.773393	+	0.633927i	$0.218558\pi$
$398$	−9.61306	+	0.708369i	−0.481859	+	0.0355073i
$399$	−22.3458	+	4.96849i	−1.11869	+	0.248735i
$400$	−3.85754	−	3.61518i	−0.192877	−	0.180759i
$401$	34.2979			1.71275			0.856377	−	0.516351i	$-0.172710\pi$
$401$	34.2979			1.71275			0.856377	+	0.516351i	$0.172710\pi$
$402$	0.830133	+	20.7243i	0.0414033	+	1.03363i
$403$		−	5.64141i		−	0.281019i
$404$	24.9558	+	9.86617i	1.24160	+	0.490860i
$405$	−15.9680	+	6.55471i	−0.793458	+	0.325706i
$406$	13.9829	−	4.72493i	0.693958	−	0.234494i
$407$	0.980130	−	0.565878i	0.0485832	−	0.0280495i
$408$	4.78512	+	25.2698i	0.236898	+	1.25104i
$409$	−1.32233	+	0.763445i	−0.0653848	+	0.0377499i	−0.532336	−	0.846533i	$-0.678686\pi$
$409$	−1.32233	+	0.763445i	−0.0653848	+	0.0377499i	0.466951	+	0.884283i	$0.345352\pi$
$410$	23.6719	−	1.74434i	1.16907	−	0.0861469i
$411$	−10.7188	−	20.0919i	−0.528720	−	0.991062i
$412$	−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
$416$	−3.94150	+	4.87988i	−0.193248	+	0.239256i
$417$	13.9244	+	0.466929i	0.681881	+	0.0228656i
$418$	1.31257	+	0.634116i	0.0642001	+	0.0310156i
$419$	−9.63559	+	16.6893i	−0.470729	+	0.815327i	−0.999440	−	0.0334754i	$-0.989342\pi$
$419$	−9.63559	+	16.6893i	−0.470729	+	0.815327i	0.528710	+	0.848802i	$0.322676\pi$
$420$	−11.0705	+	13.6536i	−0.540187	+	0.666227i
$421$	−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	$-0.347732\pi$
$422$	−0.655837	−	8.90017i	−0.0319257	−	0.433253i
$423$	7.92328	+	16.1315i	0.385243	+	0.784340i
$424$	−6.34686	+	20.3065i	−0.308231	+	0.986171i
$425$	6.00909	+	3.46935i	0.291484	+	0.168288i
$426$	8.07242	+	4.23923i	0.391110	+	0.205391i
$427$	−6.74699	−	26.1713i	−0.326510	−	1.26652i
$428$	−4.90063	−	33.0719i	−0.236881	−	1.59859i
$429$	−0.396098	−	0.0132824i	−0.0191238	−	0.000641282i
$430$	0.679617	−	1.40676i	0.0327740	−	0.0678399i
$431$	−10.6593	−	6.15416i	−0.513441	−	0.296435i	0.220806	−	0.975318i	$-0.429131\pi$
$431$	−10.6593	−	6.15416i	−0.513441	−	0.296435i	−0.734247	+	0.678882i	$0.762465\pi$
$432$	13.6622	+	15.6635i	0.657321	+	0.753611i
$433$		−	2.02492i		−	0.0973115i	−0.998816	−	0.0486558i	$-0.984506\pi$
$433$		−	2.02492i		−	0.0973115i	0.998816	−	0.0486558i	$-0.0154937\pi$
$434$	−18.0337	+	6.09372i	−0.865643	+	0.292508i
$435$	11.1222	+	6.92850i	0.533268	+	0.332196i
$436$	18.6117	+	23.4578i	0.891337	+	1.12343i
$437$	21.9317	−	12.6623i	1.04913	−	0.605718i
$438$	−8.26263	+	5.22217i	−0.394804	+	0.249525i
$439$	5.04337	−	8.73538i	0.240707	−	0.416917i	−0.720209	−	0.693757i	$-0.755954\pi$
$439$	5.04337	−	8.73538i	0.240707	−	0.416917i	0.960916	+	0.276840i	$0.0892873\pi$
$440$	1.09220	−	0.245002i	0.0520688	−	0.0116800i
$441$	−17.2171	−	12.0238i	−0.819863	−	0.572560i
$442$	3.58134	−	7.41311i	0.170347	−	0.352606i
$443$	18.2793	+	10.5535i	0.868474	+	0.501414i	0.866841	−	0.498585i	$-0.166147\pi$
$443$	18.2793	+	10.5535i	0.868474	+	0.501414i	0.00163300	+	0.999999i	$0.499480\pi$
$444$	11.3037	+	15.2714i	0.536448	+	0.724751i
$445$	2.88018	+	4.98861i	0.136534	+	0.236483i
$446$	−1.04827	+	2.16985i	−0.0496371	+	0.102745i
$447$	4.77144	+	8.94384i	0.225681	+	0.423029i
$448$	19.8568	+	7.32849i	0.938146	+	0.346239i
$449$	−16.1016			−0.759883			−0.379942	−	0.925010i	$-0.624056\pi$
$449$	−16.1016			−0.759883			−0.379942	+	0.925010i	$0.624056\pi$
$450$	5.60737	−	0.0365270i	0.264334	−	0.00172190i
$451$	0.902894	−	1.56386i	0.0425156	−	0.0736392i
$452$	−15.1190	−	19.0558i	−0.711139	−	0.896308i
$453$	−9.22780	+	4.92292i	−0.433560	+	0.231299i
$454$	−7.72147	−	11.3557i	−0.362387	−	0.532947i
$455$	5.44867	−	1.40467i	0.255437	−	0.0658520i
$456$	−8.07923	+	23.0999i	−0.378345	+	1.08175i
$457$	13.0902	−	22.6729i	0.612333	−	1.06059i	−0.378513	−	0.925596i	$-0.623565\pi$
$457$	13.0902	−	22.6729i	0.612333	−	1.06059i	0.990846	−	0.134996i	$-0.0431021\pi$
$458$	6.64038	−	4.51524i	0.310285	−	0.210983i
$459$	−22.1356	−	15.9423i	−1.03320	−	0.744122i
$460$	7.14947	−	18.0841i	0.333346	−	0.843173i
$461$	12.7071	−	7.33643i	0.591828	−	0.341692i	−0.173992	−	0.984747i	$-0.555667\pi$
$461$	12.7071	−	7.33643i	0.591828	−	0.341692i	0.765820	+	0.643055i	$0.222333\pi$
$462$	0.385396	+	1.28054i	0.0179303	+	0.0595759i
$463$	−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	$0.731824\pi$
$464$	3.58762	−	15.3654i	0.166551	−	0.713320i
$465$	−14.3443	−	8.93567i	−0.665199	−	0.414382i
$466$	15.3431	−	31.7591i	0.710755	−	1.47121i
$467$	8.01884	+	13.8890i	0.371067	+	0.642708i	0.989730	−	0.142949i	$-0.0456585\pi$
$467$	8.01884	+	13.8890i	0.371067	+	0.642708i	−0.618663	+	0.785657i	$0.712325\pi$
$468$	−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
$471$	−26.3253	−	16.3992i	−1.21301	−	0.755634i
$472$	−20.6814	−	22.4568i	−0.951937	−	1.03366i
$473$	−0.0594288	−	0.102934i	−0.00273254	−	0.00473290i
$474$	36.1982	−	22.8781i	1.66264	−	1.05083i
$475$	3.30116	+	5.71777i	0.151467	+	0.262349i
$476$	−27.5656	−	3.44083i	−1.26347	−	0.157710i
$477$	−9.94839	−	20.2545i	−0.455505	−	0.927391i
$478$	0.160277	+	2.17507i	0.00733088	+	0.0994852i
$479$	−12.8229			−0.585895			−0.292947	−	0.956129i	$-0.594636\pi$
$479$	−12.8229			−0.585895			−0.292947	+	0.956129i	$0.594636\pi$
$480$	6.16482	+	17.7514i	0.281384	+	0.810237i
$481$		−	6.08201i		−	0.277316i
$482$	21.8729	−	14.8729i	0.996284	−	0.677440i
$483$	22.1611	+	6.97225i	1.00836	+	0.317248i
$484$	−8.05714	+	20.3800i	−0.366234	+	0.926362i
$485$	−8.14077	−	14.1002i	−0.369653	−	0.640258i
$486$	−21.9480	−	2.07027i	−0.995581	−	0.0939093i
$487$	29.4492	+	17.0025i	1.33447	+	0.770456i	0.985981	−	0.166857i	$-0.0533618\pi$
$487$	29.4492	+	17.0025i	1.33447	+	0.770456i	0.348488	+	0.937313i	$0.386695\pi$
$488$	−27.5774	−	8.61941i	−1.24837	−	0.390182i
$489$	−0.544990	−	0.339498i	−0.0246453	−	0.0153527i
$490$	−10.3758	−	15.9002i	−0.468730	−	0.718299i
$491$	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	$0.616490\pi$
$492$	27.8027	+	12.0842i	1.25344	+	0.544798i
$493$			20.7089i			0.932680i
$494$	6.47803	−	4.40485i	0.291460	−	0.198183i
$495$	−0.661169	+	0.986108i	−0.0297173	+	0.0443223i
$496$	−4.62694	+	19.8167i	−0.207756	+	0.889796i
$497$	−7.02965	+	6.89745i	−0.315323	+	0.309393i
$498$	−31.4644	+	1.26034i	−1.40995	+	0.0564772i
$499$			18.2788i			0.818272i	0.912473	+	0.409136i	$0.134170\pi$
$499$			18.2788i			0.818272i	−0.912473	+	0.409136i	$0.865830\pi$
$500$	22.5503	+	8.91518i	1.00848	+	0.398699i
$501$	−15.2022	−	0.509777i	−0.679183	−	0.0227752i
$502$	−2.11213	−	3.10622i	−0.0942688	−	0.138637i
$503$	−12.6145			−0.562454			−0.281227	−	0.959641i	$-0.590741\pi$
$503$	−12.6145			−0.562454			−0.281227	+	0.959641i	$0.590741\pi$
$504$	−20.6255	+	8.86492i	−0.918735	+	0.394875i
$505$	−25.7335			−1.14513
$506$	−0.831858	−	1.22338i	−0.0369806	−	0.0543859i
$507$	10.7794	−	17.3040i	0.478731	−	0.768497i
$508$	26.8395	+	10.6109i	1.19081	+	0.470783i
$509$			19.1541i			0.848990i	0.905430	+	0.424495i	$0.139548\pi$
$509$			19.1541i			0.848990i	−0.905430	+	0.424495i	$0.860452\pi$
$510$	−13.1765	−	20.8481i	−0.583464	−	0.923169i
$511$	−2.63562	−	10.2235i	−0.116593	−	0.452260i
$512$	17.8477	−	13.9089i	0.788766	−	0.614694i
$513$	−10.6560	−	23.6683i	−0.470472	−	1.04498i
$514$	−14.3948	+	9.78801i	−0.634929	+	0.431730i
$515$		−	26.6177i		−	1.17292i
$516$	1.60382	−	1.18712i	0.0706041	−	0.0522600i
$517$	1.07055	+	0.618085i	0.0470829	+	0.0271833i
$518$	−19.4421	+	6.56965i	−0.854236	+	0.288654i
$519$	−0.375727	+	11.2046i	−0.0164926	+	0.491829i
$520$	1.79450	−	5.74142i	0.0786939	−	0.251778i
$521$	11.0086	+	6.35582i	0.482296	+	0.278454i	0.721373	−	0.692547i	$-0.243511\pi$
$521$	11.0086	+	6.35582i	0.482296	+	0.278454i	−0.239077	+	0.971001i	$0.576845\pi$
$522$	8.46213	+	14.4388i	0.370377	+	0.631969i
$523$	−6.03699	−	10.4564i	−0.263979	−	0.457225i	0.703317	−	0.710877i	$-0.251702\pi$
$523$	−6.03699	−	10.4564i	−0.263979	−	0.457225i	−0.967296	+	0.253652i	$0.918368\pi$
$524$	−6.46651	+	16.3566i	−0.282491	+	0.714540i
$525$	−1.81772	+	5.77758i	−0.0793320	+	0.252154i
$526$	−5.41505	+	3.68205i	−0.236107	+	0.160545i
$527$		−	26.7082i		−	1.16343i
$528$	1.38049	+	0.371527i	0.0600780	+	0.0161686i
$529$	−2.70125			−0.117446
$530$	−1.49931	−	20.3466i	−0.0651258	−	0.883802i
$531$	32.3083	+	2.16924i	1.40206	+	0.0941369i
$532$	−21.0782	−	15.9500i	−0.913855	−	0.691521i
$533$	−4.85211	−	8.40411i	−0.210168	−	0.364022i
$534$	0.294456	+	7.35111i	0.0127424	+	0.318114i
$535$	16.0302	+	27.7651i	0.693047	+	1.20039i
$536$	−17.6170	+	16.2242i	−0.760936	+	0.700777i
$537$	−0.171299	+	5.10836i	−0.00739211	+	0.220442i
$538$	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	0.858905	−	0.512135i	$-0.171145\pi$
$541$	−0.327250	−	0.566813i	−0.0140696	−	0.0243692i	−0.872974	+	0.487766i	$0.837812\pi$
$542$	−7.96537	+	16.4877i	−0.342142	+	0.708209i
$543$	−14.1457	+	7.54657i	−0.607051	+	0.323854i
$544$	−18.6603	+	23.1028i	−0.800052	+	0.990526i
$545$	−24.8679	−	14.3575i	−1.06522	−	0.615007i
$546$	6.99515	+	1.64714i	0.299365	+	0.0704913i
$547$	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	$0.315694\pi$
$548$	9.66762	−	24.4535i	0.412980	−	1.04460i
$549$	27.5069	−	13.5105i	1.17396	−	0.576614i
$550$	0.318946	−	0.216872i	0.0135999	−	0.00924747i
$551$	−9.85245	+	17.0649i	−0.419728	+	0.726991i
$552$	18.8227	−	16.2030i	0.801146	−	0.689645i
$553$	11.5465	+	44.7886i	0.491009	+	1.90460i
$554$	21.1384	+	31.0874i	0.898085	+	1.32078i
$555$	−15.4646	−	9.63355i	−0.656434	−	0.408921i
$556$	9.99909	+	12.6027i	0.424056	+	0.534473i
$557$	12.8703	−	22.2921i	0.545333	−	0.944545i	−0.453253	−	0.891382i	$-0.649736\pi$
$557$	12.8703	−	22.2921i	0.545333	−	0.944545i	0.998586	−	0.0531628i	$-0.0169302\pi$
$558$	−10.9136	−	18.6217i	−0.462009	−	0.788319i
$559$	−0.638736			−0.0270157
$560$	−20.2917	+	0.465360i	−0.857481	+	0.0196650i
$561$	−1.87525	−	0.0628830i	−0.0791730	−	0.00265492i
$562$	−4.31661	+	8.93506i	−0.182085	+	0.376903i
$563$	14.6760	+	25.4196i	0.618521	+	1.07131i	0.989756	+	0.142771i	$0.0456013\pi$
$563$	14.6760	+	25.4196i	0.618521	+	1.07131i	−0.371234	+	0.928539i	$0.621065\pi$
$564$	−8.27235	+	19.0326i	−0.348329	+	0.801416i
$565$	20.2012	+	11.6632i	0.849873	+	0.490674i
$566$	−2.84452	+	5.88795i	−0.119564	+	0.247489i
$567$	9.39047	−	21.8819i	0.394363	−	0.918955i
$568$	2.30444	+	10.2731i	0.0966923	+	0.431049i
$569$	−17.1281	+	29.6668i	−0.718048	+	1.24369i	0.243725	+	0.969844i	$0.421631\pi$
$569$	−17.1281	+	29.6668i	−0.718048	+	1.24369i	−0.961772	+	0.273850i	$0.911703\pi$
$570$	−0.939255	−	23.4485i	−0.0393410	−	0.982150i
$571$	−33.6729	+	19.4411i	−1.40917	+	0.813583i	−0.995308	−	0.0967579i	$-0.969153\pi$
$571$	−33.6729	+	19.4411i	−1.40917	+	0.813583i	−0.413859	+	0.910341i	$0.635819\pi$
$572$	−0.284437	−	0.358500i	−0.0118929	−	0.0149896i
$573$	−0.676292	+	20.1678i	−0.0282525	+	0.842523i
$574$	−21.6239	+	24.5885i	−0.902564	+	1.02630i
$575$		−	6.70053i		−	0.279431i
$576$	−3.57010	+	23.7330i	−0.148754	+	0.988874i
$577$	4.51115	+	2.60451i	0.187801	+	0.108427i	0.590953	−	0.806706i	$-0.298752\pi$
$577$	4.51115	+	2.60451i	0.187801	+	0.108427i	−0.403151	+	0.915133i	$0.632085\pi$
$578$	6.49692	−	13.4481i	0.270236	−	0.559369i
$579$	−20.4508	+	32.8293i	−0.849906	+	1.36434i
$580$	2.21789	+	14.9674i	0.0920928	+	0.621489i
$581$	9.11459	−	32.7687i	0.378137	−	1.35948i
$582$	−0.832275	−	20.7778i	−0.0344989	−	0.861267i
$583$	−1.34418	−	0.776061i	−0.0556701	−	0.0321412i
$584$	−10.7728	−	3.36706i	−0.445780	−	0.139330i
$585$	2.81279	+	5.72672i	0.116294	+	0.236771i
$586$	0.152644	+	2.07148i	0.00630565	+	0.0855721i
$587$	−16.2370	−	28.1233i	−0.670172	−	1.16077i	−0.977855	−	0.209283i	$-0.932887\pi$
$587$	−16.2370	−	28.1233i	−0.670172	−	1.16077i	0.307683	−	0.951489i	$-0.400446\pi$
$588$	−2.29064	−	24.1403i	−0.0944645	−	0.995528i
$589$	12.7067	−	22.0086i	0.523569	−	0.906849i
$590$	26.3607	+	12.7351i	1.08525	+	0.524295i
$591$	−0.215906	−	0.404706i	−0.00888119	−	0.0166474i
$592$	−4.98831	+	21.3644i	−0.205018	+	0.878071i
$593$	−35.7119	+	20.6182i	−1.46651	+	0.846690i	−0.999298	−	0.0374554i	$-0.988075\pi$
$593$	−35.7119	+	20.6182i	−1.46651	+	0.846690i	−0.467212	+	0.884145i	$0.654741\pi$
$594$	−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
$597$	11.7988	+	0.395653i	0.482894	+	0.0161930i
$598$	−7.92878	+	0.584258i	−0.324232	+	0.0238921i
$599$	12.6663	−	7.31287i	0.517530	−	0.298796i	−0.218394	−	0.975861i	$-0.570082\pi$
$599$	12.6663	−	7.31287i	0.517530	−	0.298796i	0.735923	+	0.677065i	$0.236748\pi$
$600$	4.22425	+	4.90723i	0.172454	+	0.200337i
$601$	27.8605	−	16.0853i	1.13645	−	0.656131i	0.190903	−	0.981609i	$-0.438859\pi$
$601$	27.8605	−	16.0853i	1.13645	−	0.656131i	0.945550	+	0.325478i	$0.105525\pi$
$602$	0.689948	+	2.04182i	0.0281202	+	0.0832183i
$603$	1.70173	−	25.3453i	0.0692997	−	1.03214i
$604$	−11.2310	−	4.44013i	−0.456983	−	0.180666i
$605$		−	21.0151i		−	0.854387i
$606$	−29.0980	−	15.2808i	−1.18203	−	0.620740i
$607$	−48.3223			−1.96134			−0.980672	−	0.195661i	$-0.937315\pi$
$607$	−48.3223			−1.96134			−0.980672	+	0.195661i	$0.937315\pi$
$608$	−26.3682	+	10.1599i	−1.06937	+	0.412037i
$609$	−17.6458	+	3.92347i	−0.715044	+	0.158987i
$610$	27.6320	−	2.03615i	1.11879	−	0.0824413i
$611$	5.75311	−	3.32156i	0.232746	−	0.134376i
$612$	−2.51941	−	31.3981i	−0.101841	−	1.26919i
$613$	4.32207	−	7.48605i	0.174567	−	0.302359i	−0.765444	−	0.643502i	$-0.777481\pi$
$613$	4.32207	−	7.48605i	0.174567	−	0.302359i	0.940011	+	0.341143i	$0.110814\pi$
$614$	16.6050	+	24.4203i	0.670124	+	0.985525i
$615$	−29.0544	−	0.974285i	−1.17158	−	0.0392870i
$616$	−0.838758	+	1.29649i	−0.0337945	+	0.0522371i
$617$	−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	$0.944545\pi$
$618$	15.8058	−	30.0978i	0.635804	−	1.21071i
$619$	26.3208			1.05792			0.528962	−	0.848646i	$-0.322581\pi$
$619$	26.3208			1.05792			0.528962	+	0.848646i	$0.322581\pi$
$620$	−2.86041	−	19.3035i	−0.114877	−	0.775245i
$621$	−2.64460	+	26.2095i	−0.106124	+	1.05175i
$622$	7.00318	−	14.4961i	0.280802	−	0.581239i
$623$	−7.65584	−	2.12946i	−0.306725	−	0.0853152i
$624$	5.43842	−	5.42648i	0.217711	−	0.217233i
$625$	−16.6446			−0.665785
$626$	1.90465	+	25.8474i	0.0761251	+	1.03307i
$627$	−1.51536	−	0.943986i	−0.0605178	−	0.0376992i
$628$	−5.24956	−	35.4267i	−0.209480	−	1.41368i
$629$		−	28.7941i		−	1.14810i
$630$	15.2680	−	15.1774i	0.608294	−	0.604681i
$631$		−	13.6883i		−	0.544924i	−0.962167	−	0.272462i	$-0.912162\pi$
$631$		−	13.6883i		−	0.544924i	0.962167	−	0.272462i	$-0.0878379\pi$
$632$	47.1950	+	14.7509i	1.87732	+	0.586761i
$633$	−0.366311	+	10.9238i	−0.0145596	+	0.434184i
$634$	13.6450	−	1.00548i	0.541914	−	0.0399327i
$635$	−27.6760			−1.09829
$636$	10.3867	−	23.8971i	0.411859	−	0.947582i
$637$	−4.00804	+	6.64743i	−0.158804	+	0.263381i
$638$	1.03650	+	0.500743i	0.0410355	+	0.0198246i
$639$	−9.27516	−	6.21884i	−0.366920	−	0.246013i
$640$	−11.0125	+	18.6962i	−0.435308	+	0.739031i
$641$	−12.8772			−0.508617			−0.254309	−	0.967123i	$-0.581848\pi$
$641$	−12.8772			−0.508617			−0.254309	+	0.967123i	$0.581848\pi$
$642$	1.63886	+	40.9141i	0.0646805	+	1.61475i
$643$	9.10286	−	15.7666i	0.358982	−	0.621774i	−0.628809	−	0.777560i	$-0.716457\pi$
$643$	9.10286	−	15.7666i	0.358982	−	0.621774i	0.987791	+	0.155785i	$0.0497907\pi$
$644$	10.4322	+	24.7145i	0.411084	+	0.973887i
$645$	−1.01172	+	1.62410i	−0.0398365	+	0.0639487i
$646$	30.6689	−	20.8539i	1.20665	−	0.820485i
$647$	−6.55058	+	11.3459i	−0.257530	+	0.446055i	−0.965580	−	0.260108i	$-0.916242\pi$
$647$	−6.55058	+	11.3459i	−0.257530	+	0.446055i	0.708050	+	0.706162i	$0.249575\pi$
$648$	−14.5866	−	20.8622i	−0.573017	−	0.819544i
$649$	1.92884	−	1.11361i	0.0757135	−	0.0437132i
$650$	−0.152321	−	2.06710i	−0.00597451	−	0.0810783i
$651$	22.7577	−	5.06009i	0.891946	−	0.198320i
$652$	−0.108677	−	0.733408i	−0.00425613	−	0.0287225i
$653$	−4.23758			−0.165829			−0.0829147	−	0.996557i	$-0.526423\pi$
$653$	−4.23758			−0.165829			−0.0829147	+	0.996557i	$0.526423\pi$
$654$	−19.5936	−	31.0014i	−0.766170	−	1.21225i
$655$		−	16.8663i		−	0.659023i
$656$	10.1513	+	33.5008i	0.396341	+	1.30799i
$657$	10.7452	−	5.27770i	0.419210	−	0.205903i
$658$	−16.8323	−	14.8028i	−0.656190	−	0.577075i
$659$	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	$0.312211\pi$
$660$	−1.36208	+	0.155387i	−0.0530189	+	0.00604844i
$661$	14.6802	−	8.47559i	0.570992	−	0.329662i	−0.186553	−	0.982445i	$-0.559732\pi$
$661$	14.6802	−	8.47559i	0.570992	−	0.329662i	0.757545	+	0.652782i	$0.226398\pi$
$662$	0.449636	+	6.10187i	0.0174756	+	0.237156i
$663$	−5.33141	+	8.55841i	−0.207055	+	0.332381i
$664$	−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
$668$	−10.9167	−	13.7592i	−0.422378	−	0.532358i
$669$	1.56052	−	2.50508i	0.0603334	−	0.0968520i
$670$	9.99044	−	20.6795i	0.385965	−	0.798919i
$671$	1.05394	−	1.82547i	0.0406868	−	0.0704716i
$672$	−23.2210	−	11.5232i	−0.895771	−	0.444517i
$673$	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	$0.564864\pi$
$674$	−44.2874	+	3.26346i	−1.70589	+	0.125704i
$675$	−6.83304	−	0.689469i	−0.263004	−	0.0265377i
$676$	23.2864	−	3.45061i	0.895632	−	0.132716i
$677$	29.6586	+	17.1234i	1.13987	+	0.658106i	0.946399	−	0.322999i	$-0.104691\pi$
$677$	29.6586	+	17.1234i	1.13987	+	0.658106i	0.193474	+	0.981105i	$0.438024\pi$
$678$	15.9167	+	25.1837i	0.611277	+	0.967176i
$679$	21.6391	+	6.01889i	0.830432	+	0.230984i
$680$	8.49569	−	27.1816i	0.325795	−	1.04237i
$681$	7.91633	+	14.8388i	0.303354	+	0.568624i
$682$	−1.33677	−	0.645807i	−0.0511877	−	0.0247292i
$683$	25.4622	+	14.7006i	0.974283	+	0.562503i	0.900539	−	0.434775i	$-0.143172\pi$
$683$	25.4622	+	14.7006i	0.974283	+	0.562503i	0.0737438	+	0.997277i	$0.476505\pi$
$684$	12.8619	−	27.0720i	0.491786	−	1.03512i
$685$			25.2157i			0.963441i
$686$	25.5789	+	5.63193i	0.976608	+	0.215028i
$687$	−8.67719	+	4.62918i	−0.331056	+	0.176614i
$688$	2.24370	+	0.523875i	0.0855403	+	0.0199725i
$689$	−7.22355	+	4.17052i	−0.275195	+	0.158884i
$690$	−11.0731	+	21.0857i	−0.421548	+	0.802719i
$691$	−12.0839	+	20.9299i	−0.459692	+	0.796210i	−0.998944	−	0.0459342i	$-0.985374\pi$
$691$	−12.0839	+	20.9299i	−0.459692	+	0.796210i	0.539252	+	0.842144i	$0.318707\pi$
$692$	−10.1411	+	8.04603i	−0.385506	+	0.305864i
$693$	−0.301699	−	1.60979i	−0.0114606	−	0.0611510i
$694$	28.6283	+	13.8306i	1.08672	+	0.525002i
$695$	−13.3602	−	7.71354i	−0.506783	−	0.292591i
$696$	−6.37993	+	18.2413i	−0.241831	+	0.691435i
$697$	−22.9714	−	39.7876i	−0.870103	−	1.50706i
$698$	−21.3096	−	10.2948i	−0.806579	−	0.389665i
$699$	−22.8407	+	36.6658i	−0.863915	+	1.38683i
$700$	−6.44327	+	2.71975i	−0.243533	+	0.102797i
$701$	−36.3119			−1.37148			−0.685742	−	0.727845i	$-0.740522\pi$
$701$	−36.3119			−1.37148			−0.685742	+	0.727845i	$0.740522\pi$
$702$	−0.220041	+	8.14570i	−0.00830492	+	0.307440i
$703$	13.6991	−	23.7275i	0.516670	−	0.894899i
$704$	0.705115	+	1.49260i	0.0265750	+	0.0562544i
$705$	0.666956	−	19.8894i	0.0251190	−	0.749079i
$706$	9.21187	−	6.26376i	0.346693	−	0.235740i
$707$	25.3392	−	24.8627i	0.952980	−	0.935057i
$708$	22.2450	+	30.0533i	0.836017	+	1.12947i
$709$	−18.1009	+	31.3516i	−0.679792	+	1.17743i	0.295251	+	0.955420i	$0.404597\pi$
$709$	−18.1009	+	31.3516i	−0.679792	+	1.17743i	−0.975043	+	0.222015i	$0.928737\pi$
$710$	−5.67697	−	8.34889i	−0.213053	−	0.313328i
$711$	−47.0742	+	23.1214i	−1.76542	+	0.867119i
$712$	−6.24891	+	5.75487i	−0.234188	+	0.215673i
$713$	−22.3360	+	12.8957i	−0.836490	+	0.482948i
$714$	33.1171	+	7.79808i	1.23938	+	0.291836i
$715$	0.380050	+	0.219422i	0.0142131	+	0.00820591i
$716$	−4.62346	+	3.66830i	−0.172787	+	0.137091i
$717$	0.0895209	−	2.66962i	0.00334322	−	0.0996989i
$718$	−18.3967	−	8.88760i	−0.686558	−	0.331682i
$719$	10.8091	+	18.7219i	0.403112	+	0.698210i	0.994100	−	0.108470i	$-0.0345952\pi$
$719$	10.8091	+	18.7219i	0.403112	+	0.698210i	−0.590988	+	0.806680i	$0.701262\pi$
$720$	−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
$723$	−28.5820	+	15.2482i	−1.06298	+	0.567086i
$724$	−17.2165	−	6.80648i	−0.639846	−	0.252961i
$725$	2.60683	+	4.51515i	0.0968151	+	0.167689i
$726$	12.4790	−	23.7627i	0.463138	−	0.881916i
$727$	16.4474	+	28.4878i	0.610002	+	1.05655i	0.991239	+	0.132077i	$0.0421646\pi$
$727$	16.4474	+	28.4878i	0.610002	+	1.05655i	−0.381238	+	0.924477i	$0.624502\pi$
$728$	3.78012	+	7.38721i	0.140101	+	0.273788i
$729$	26.4558	+	5.39380i	0.979843	+	0.199771i
$730$	10.7941	−	0.795395i	0.399506	−	0.0294389i
$731$	−3.02397			−0.111846
$732$	32.4537	+	14.1057i	1.19952	+	0.521363i
$733$		−	2.95663i		−	0.109206i	−0.998508	−	0.0546028i	$-0.982611\pi$
$733$		−	2.95663i		−	0.109206i	0.998508	−	0.0546028i	$-0.0173893\pi$
$734$	14.2618	+	20.9743i	0.526413	+	0.774175i
$735$	10.5537	+	20.7203i	0.389280	+	0.764279i
$736$	28.3308	+	4.45065i	1.04429	+	0.164053i
$737$	−0.873611	−	1.51314i	−0.0321799	−	0.0557372i
$738$	−32.2745	−	18.3544i	−1.18804	−	0.675635i
$739$	32.4483	+	18.7340i	1.19363	+	0.689142i	0.959128	−	0.282974i	$-0.0913210\pi$
$739$	32.4483	+	18.7340i	1.19363	+	0.689142i	0.234501	+	0.972116i	$0.424654\pi$
$740$	−3.08380	−	20.8111i	−0.113363	−	0.765030i
$741$	−8.46504	+	4.51600i	−0.310971	+	0.165900i
$742$	21.1344	+	18.5863i	0.775869	+	0.682325i
$743$	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	$0.325567\pi$
$744$	8.22818	−	23.5258i	0.301660	−	0.862497i
$745$		−	11.2247i		−	0.411239i
$746$	26.6295	+	39.1629i	0.974975	+	1.43386i
$747$	38.4801	+	2.58363i	1.40792	+	0.0945300i
$748$	−1.34661	−	1.69725i	−0.0492370	−	0.0620575i
$749$	−42.6101	−	11.8520i	−1.55694	−	0.433062i
$750$	−26.2933	−	13.8079i	−0.960095	−	0.504193i
$751$		−	4.86825i		−	0.177645i	−0.996047	−	0.0888226i	$-0.971690\pi$
$751$		−	4.86825i		−	0.177645i	0.996047	−	0.0888226i	$-0.0283104\pi$
$752$	−22.9333	+	6.94915i	−0.836292	+	0.253409i
$753$	2.16543	+	4.05899i	0.0789125	+	0.147918i
$754$	5.11551	−	3.47838i	0.186296	−	0.126675i
$755$	11.5810			0.421477
$756$	26.2767	−	8.09540i	0.955674	−	0.294427i
$757$	9.72844			0.353586			0.176793	−	0.984248i	$-0.443428\pi$
$757$	9.72844			0.353586			0.176793	+	0.984248i	$0.443428\pi$
$758$	25.1164	−	17.0783i	0.912270	−	0.620313i
$759$	0.852851	+	1.59863i	0.0309565	+	0.0580266i
$760$	19.9327	−	18.3568i	0.723036	−	0.665873i
$761$		−	22.2908i		−	0.808041i	−0.914750	−	0.404021i	$-0.867612\pi$
$761$		−	22.2908i		−	0.808041i	0.914750	−	0.404021i	$-0.132388\pi$
$762$	−31.2945	−	16.4343i	−1.13368	−	0.595351i
$763$	38.3585	−	9.88885i	1.38867	−	0.358000i
$764$	−18.2535	+	14.4825i	−0.660388	+	0.523958i
$765$	13.3166	+	27.1120i	0.481462	+	0.980238i
$766$	8.52105	+	12.5316i	0.307878	+	0.452784i
$767$		−	11.9690i		−	0.432177i
$768$	−23.5543	+	14.6012i	−0.849942	+	0.526877i
$769$	17.7681	+	10.2584i	0.640734	+	0.369928i	0.784897	−	0.619626i	$-0.212716\pi$
$769$	17.7681	+	10.2584i	0.640734	+	0.369928i	−0.144163	+	0.989554i	$0.546049\pi$
$770$	0.290895	−	1.45190i	0.0104831	−	0.0523229i
$771$	18.8102	−	10.0350i	0.677432	−	0.361402i
$772$	−44.1792	+	6.54652i	−1.59005	+	0.235615i
$773$	34.3590	+	19.8372i	1.23581	+	0.713493i	0.968234	−	0.250044i	$-0.0804452\pi$
$773$	34.3590	+	19.8372i	1.23581	+	0.713493i	0.267573	+	0.963538i	$0.413779\pi$
$774$	−2.10840	+	1.23567i	−0.0757848	+	0.0444151i
$775$	−3.36202	−	5.82318i	−0.120767	−	0.209175i
$776$	17.6624	−	16.2660i	0.634044	−	0.583917i
$777$	24.5351	−	5.45528i	0.880193	−	0.195707i
$778$	−6.29568	−	9.25880i	−0.225711	−	0.331944i
$779$		−	43.7155i		−	1.56627i
$780$	−2.93671	+	6.75662i	−0.105151	+	0.241926i
$781$	−0.768090			−0.0274844
$782$	−37.5372	+	2.76605i	−1.34233	+	0.0989138i
$783$	−8.41470	−	18.6902i	−0.300717	−	0.667933i
$784$	19.5312	−	20.0632i	0.697542	−	0.716544i
$785$	17.1716	+	29.7421i	0.612880	+	1.06154i
$786$	10.0154	−	19.0715i	0.357237	−	0.680257i
$787$	13.9358	+	24.1375i	0.496757	+	0.860409i	0.999993	−	0.00374012i	$-0.00119052\pi$
$787$	13.9358	+	24.1375i	0.496757	+	0.860409i	−0.503236	+	0.864149i	$0.667857\pi$
$788$	0.194732	−	0.492561i	0.00693705	−	0.0175468i
$789$	7.07601	−	3.77497i	0.251913	−	0.134393i
$790$	−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
$794$	−17.9034	−	8.64930i	−0.635369	−	0.306952i
$795$	−0.837423	+	24.9730i	−0.0297003	+	0.885700i
$796$	8.47272	+	10.6789i	0.300308	+	0.378503i
$797$	−4.31188	−	2.48946i	−0.152734	−	0.0881813i	0.421685	−	0.906742i	$-0.361439\pi$
$797$	−4.31188	−	2.48946i	−0.152734	−	0.0881813i	−0.574419	+	0.818561i	$0.694772\pi$
$798$	23.5799	+	22.1817i	0.834718	+	0.785225i
$799$	27.2370	−	15.7253i	0.963575	−	0.556320i
$800$	−1.16032	+	7.38606i	−0.0410235	+	0.261137i
$801$	0.603620	−	8.99022i	0.0213279	−	0.317654i
$802$	−27.2737	−	40.1103i	−0.963067	−	1.41634i
$803$	0.411707	−	0.713097i	0.0145288	−	0.0251646i
$804$	23.5763	−	17.4508i	0.831471	−	0.615441i
$805$	−18.0166	−	18.3619i	−0.635002	−	0.647173i
$806$	−6.59746	+	4.48605i	−0.232385	+	0.158014i
$807$	0.743477	−	22.1714i	0.0261716	−	0.780470i
$808$	−8.30664	−	37.0305i	−0.292227	−	1.30273i
$809$	−3.64441	+	6.31230i	−0.128130	+	0.221929i	−0.922952	−	0.384914i	$-0.874231\pi$
$809$	−3.64441	+	6.31230i	−0.128130	+	0.221929i	0.794822	+	0.606843i	$0.207564\pi$
$810$	20.3633	+	13.4618i	0.715494	+	0.473000i
$811$	11.2145			0.393793			0.196896	−	0.980424i	$-0.436914\pi$
$811$	11.2145			0.393793			0.196896	+	0.980424i	$0.436914\pi$
$812$	−16.6448	−	12.5953i	−0.584119	−	0.442007i
$813$	11.8578	−	19.0350i	0.415870	−	0.667587i
$814$	−1.44118	−	0.696245i	−0.0505132	−	0.0244034i
$815$	0.355489	+	0.615725i	0.0124522	+	0.0215679i
$816$	25.7471	−	25.6906i	0.901329	−	0.899350i
$817$	−2.49187	−	1.43868i	−0.0871797	−	0.0503332i
$818$	1.94434	+	0.939327i	0.0679822	+	0.0328428i
$819$	−8.30261	−	2.92137i	−0.290117	−	0.102081i
$820$	−20.8639	−	26.2965i	−0.728598	−	0.918313i
$821$	0.0166394	−	0.0288203i	0.000580720	−	0.00100584i	−0.865735	−	0.500503i	$-0.833148\pi$
$821$	0.0166394	−	0.0288203i	0.000580720	−	0.00100584i	0.866316	+	0.499497i	$0.166482\pi$
$822$	−14.9733	+	28.5124i	−0.522253	+	0.994485i
$823$	0.0975951	−	0.0563466i	0.00340195	−	0.00196412i	−0.498298	−	0.867006i	$-0.666041\pi$
$823$	0.0975951	−	0.0563466i	0.00340195	−	0.00196412i	0.501700	+	0.865042i	$0.332708\pi$
$824$	38.3029	−	8.59205i	1.33434	−	0.299318i
$825$	−0.416776	+	0.222345i	−0.0145103	+	0.00774107i
$826$	−38.2609	+	12.9287i	−1.33127	+	0.449846i
$827$		−	35.3779i		−	1.23021i	−0.788445	−	0.615106i	$-0.789113\pi$
$827$		−	35.3779i		−	1.23021i	0.788445	−	0.615106i	$-0.210887\pi$
$828$	−25.0418	+	17.2672i	−0.870261	+	0.600076i
$829$	−12.5623	−	7.25282i	−0.436305	−	0.251901i	0.265724	−	0.964049i	$-0.414389\pi$
$829$	−12.5623	−	7.25282i	−0.436305	−	0.251901i	−0.702029	+	0.712148i	$0.747722\pi$
$830$	31.3964	+	15.1679i	1.08979	+	0.526485i
$831$	−21.6719	−	40.6229i	−0.751788	−	1.40919i
$832$	8.84115	+	0.728982i	0.306512	+	0.0252729i
$833$	−18.9753	+	31.4709i	−0.657455	+	1.09040i
$834$	−10.5266	−	16.6555i	−0.364507	−	0.576731i
$835$	14.5862	+	8.42137i	0.504778	+	0.291434i
$836$	−0.302180	−	2.03926i	−0.0104511	−	0.0705294i
$837$	10.8524	+	24.1047i	0.375114	+	0.833180i
$838$	27.1799	−	2.00284i	0.938913	−	0.0691868i
$839$	9.63552	+	16.6892i	0.332655	+	0.576175i	0.983032	−	0.183437i	$-0.0587222\pi$
$839$	9.63552	+	16.6892i	0.332655	+	0.576175i	−0.650377	+	0.759612i	$0.725389\pi$
$840$	24.7707	+	2.08930i	0.854672	+	0.0720878i
$841$	6.71981	−	11.6391i	0.231718	−	0.401347i
$842$	−13.5983	+	28.1476i	−0.468630	+	0.970029i
$843$	6.42598	−	10.3155i	0.221322	−	0.355285i
$844$	−9.88695	+	7.84439i	−0.340323	+	0.270015i
$845$	−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
$849$	4.23453	−	6.79761i	0.145329	−	0.233294i
$850$	−0.721133	−	9.78627i	−0.0247347	−	0.335666i
$851$	−24.0805	+	13.9029i	−0.825467	+	0.476584i
$852$	−1.46155	−	12.8115i	−0.0500717	−	0.438914i
$853$	27.8501	−	16.0792i	0.953568	−	0.550543i	0.0593808	−	0.998235i	$-0.481087\pi$
$853$	27.8501	−	16.0792i	0.953568	−	0.550543i	0.894188	+	0.447692i	$0.147754\pi$
$854$	−25.2413	+	28.7018i	−0.863740	+	0.982155i
$855$	−1.92542	+	28.6769i	−0.0658480	+	0.980730i
$856$	−34.7796	+	32.0299i	−1.18874	+	1.09476i
$857$			7.33350i			0.250508i	0.992125	+	0.125254i	$0.0399745\pi$
$857$			7.33350i			0.250508i	−0.992125	+	0.125254i	$0.960025\pi$
$858$	0.299444	+	0.473786i	0.0102228	+	0.0161748i
$859$	11.4917			0.392093			0.196046	−	0.980595i	$-0.437190\pi$
$859$	11.4917			0.392093			0.196046	+	0.980595i	$0.437190\pi$
$860$	−2.18559	+	0.323863i	−0.0745280	+	0.0110436i
$861$	29.5505	−	27.1118i	1.00708	−	0.923966i
$862$	1.27919	+	17.3595i	0.0435694	+	0.591268i
$863$	−20.6674	+	11.9323i	−0.703525	+	0.406180i	−0.808659	−	0.588278i	$-0.799806\pi$
$863$	−20.6674	+	11.9323i	−0.703525	+	0.406180i	0.105134	+	0.994458i	$0.466473\pi$
$864$	7.45384	−	28.4331i	0.253585	−	0.967313i
$865$	6.20691	−	10.7507i	0.211041	−	0.365534i
$866$	−2.36808	+	1.61022i	−0.0804707	+	0.0547174i
$867$	−9.67172	+	15.5258i	−0.328469	+	0.527285i
$868$	21.4668	+	16.2441i	0.728630	+	0.551359i
$869$	−1.80367	+	3.12405i	−0.0611853	+	0.105976i
$870$	−0.741702	−	18.5166i	−0.0251460	−	0.627771i
$871$	−9.38950			−0.318151
$872$	12.6332	−	40.4194i	0.427814	−	1.36877i
$873$	−1.70612	+	25.4107i	−0.0577434	+	0.860021i
$874$	−32.2482	−	15.5794i	−1.09081	−	0.526980i
$875$	22.8968	−	22.4662i	0.774053	−	0.759496i
$876$	12.6776	+	5.51022i	0.428337	+	0.186173i
$877$	−49.4254			−1.66898			−0.834489	−	0.551025i	$-0.814237\pi$
$877$	−49.4254			−1.66898			−0.834489	+	0.551025i	$0.814237\pi$
$878$	−14.2262	+	1.04831i	−0.480113	+	0.0353786i
$879$	0.0852576	−	2.54248i	0.00287567	−	0.0857559i
$880$	−1.15504	−	1.08247i	−0.0389365	−	0.0364902i
$881$		−	12.3809i		−	0.417124i	−0.978009	−	0.208562i	$-0.933122\pi$
$881$		−	12.3809i		−	0.417124i	0.978009	−	0.208562i	$-0.0668783\pi$
$882$	−0.370340	+	29.6962i	−0.0124700	+	0.999922i
$883$			6.02028i			0.202599i	0.994856	+	0.101299i	$0.0323000\pi$
$883$			6.02028i			0.202599i	−0.994856	+	0.101299i	$0.967700\pi$
$884$	−11.5173	+	1.70664i	−0.387368	+	0.0574006i
$885$	−30.4333	−	18.9583i	−1.02301	−	0.637275i
$886$	−2.19364	−	29.7692i	−0.0736967	−	1.00012i
$887$	15.2916			0.513442			0.256721	−	0.966486i	$-0.417358\pi$
$887$	15.2916			0.513442			0.256721	+	0.966486i	$0.417358\pi$
$888$	8.87080	−	25.3631i	0.297685	−	0.851131i
$889$	27.2520	−	26.7394i	0.914001	−	0.896812i
$890$	3.54371	−	7.33522i	0.118785	−	0.245877i
$891$	1.71800	−	0.705222i	0.0575552	−	0.0236258i
$892$	3.37115	−	0.499541i	0.112875	−	0.0167259i
$893$	29.9258			1.00143
$894$	6.66530	−	12.6922i	0.222921	−	0.424490i
$895$	2.82982	−	4.90139i	0.0945903	−	0.163835i
$896$	−7.21970	−	29.0495i	−0.241193	−	0.970477i
$897$	9.73159	+	0.326331i	0.324928	+	0.0108959i
$898$	12.8040	+	18.8304i	0.427276	+	0.628377i
$899$	10.0341	−	17.3795i	0.334655	−	0.579640i
$900$	−4.50170	−	6.52860i	−0.150057	−	0.217620i
$901$	−34.1985	+	19.7445i	−1.13932	+	0.657785i
$902$	−2.54686	+	0.187674i	−0.0848013	+	0.00624886i
$903$	−0.572917	−	2.57669i	−0.0190655	−	0.0857470i
$904$	−10.2625	+	32.8344i	−0.341325	+	1.09206i
$905$	17.7531			0.590132
$906$	13.0952	+	6.87691i	0.435057	+	0.228470i
$907$		−	11.7197i		−	0.389145i	−0.980888	−	0.194573i	$-0.937668\pi$
$907$		−	11.7197i		−	0.389145i	0.980888	−	0.194573i	$-0.0623320\pi$
$908$	−7.13997	+	18.0600i	−0.236948	+	0.599343i
$909$	33.4334	+	22.4165i	1.10892	+	0.743510i
$910$	−5.97550	−	5.25505i	−0.198086	−	0.174203i
$911$	−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	$0.366756\pi$
$912$	33.4392	−	8.92064i	1.10728	−	0.295392i
$913$	2.29731	−	1.32635i	0.0760297	−	0.0438958i
$914$	−36.9245	+	2.72090i	−1.22135	+	0.0899994i
$915$	−33.9148	−	1.13727i	−1.12119	−	0.0375970i
$916$	−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	$-0.753586\pi$
$919$	−14.1603	+	8.17545i	−0.467105	+	0.269683i	0.247922	+	0.968780i	$0.420252\pi$
$920$	−26.8340	+	6.01936i	−0.884690	+	0.198453i
$921$	−17.0241	−	31.9108i	−0.560962	−	1.05150i
$922$	−18.6844	−	9.02660i	−0.615338	−	0.297275i
$923$	−2.06384	+	3.57468i	−0.0679322	+	0.117662i
$924$	1.19108	−	1.46899i	0.0391836	−	0.0483263i
$925$	−3.62459	−	6.27798i	−0.119176	−	0.206419i
$926$	0.909146	+	12.3377i	0.0298764	+	0.405443i
$927$	−23.1867	+	34.5821i	−0.761553	+	1.13583i
$928$	−20.8222	+	8.02294i	−0.683522	+	0.263366i
$929$	−42.0728	−	24.2908i	−1.38036	−	0.796954i	−0.388162	−	0.921591i	$-0.626890\pi$
$929$	−42.0728	−	24.2908i	−1.38036	−	0.796954i	−0.992202	+	0.124637i	$0.960223\pi$
$930$	0.956571	+	23.8808i	0.0313672	+	0.783083i
$931$	−30.6090	+	16.9056i	−1.00317	+	0.554060i
$932$	−49.3421	+	7.31156i	−1.61625	+	0.239498i
$933$	−10.4254	+	16.7357i	−0.341312	+	0.547901i
$934$	9.86621	−	20.4223i	0.322832	−	0.668239i
$935$	1.79927	+	1.03881i	0.0588424	+	0.0339727i
$936$	−7.33280	+	5.89615i	−0.239680	+	0.192722i
$937$			34.8301i			1.13785i	0.822389	+	0.568925i	$0.192641\pi$
$937$			34.8301i			1.13785i	−0.822389	+	0.568925i	$0.807359\pi$
$938$	10.1423	+	30.0150i	0.331158	+	0.980024i
$939$	1.06382	−	31.7245i	0.0347165	−	1.03529i
$940$	18.0015	−	14.2826i	0.587144	−	0.465846i
$941$	−42.8752	+	24.7540i	−1.39769	+	0.806958i	−0.994151	−	0.108003i	$-0.965554\pi$
$941$	−42.8752	+	24.7540i	−1.39769	+	0.806958i	−0.403542	+	0.914961i	$0.632221\pi$
$942$	1.75555	+	43.8272i	0.0571988	+	1.42797i
$943$	−22.1829	+	38.4219i	−0.722374	+	1.25119i
$944$	−9.81670	+	42.0438i	−0.319506	+	1.36841i
$945$	−20.5789	+	16.4835i	−0.669433	+	0.536209i
$946$	−0.0731200	+	0.151353i	−0.00237734	+	0.00492091i
$947$	14.5072	+	8.37576i	0.471422	+	0.272176i	0.716835	−	0.697243i	$-0.245590\pi$
$947$	14.5072	+	8.37576i	0.471422	+	0.272176i	−0.245413	+	0.969419i	$0.578924\pi$
$948$	−55.5401	−	24.1400i	−1.80386	−	0.784032i
$949$	−2.21249	−	3.83215i	−0.0718206	−	0.124397i
$950$	4.06167	−	8.40737i	0.131778	−	0.272771i
$951$	−16.7476	−	0.561600i	−0.543078	−	0.0182111i
$952$	17.8962	+	34.9733i	0.580021	+	1.13349i
$953$	15.3949			0.498690			0.249345	−	0.968415i	$-0.419785\pi$
$953$	15.3949			0.498690			0.249345	+	0.968415i	$0.419785\pi$
$954$	−15.7761	+	27.7407i	−0.510769	+	0.898139i
$955$	11.1721	−	19.3507i	0.361522	−	0.626174i
$956$	2.41622	−	1.91705i	0.0781461	−	0.0620019i
$957$	−1.19664	−	0.745438i	−0.0386818	−	0.0240966i
$958$	10.1968	+	14.9960i	0.329443	+	0.484499i
$959$	−24.3623	−	24.8293i	−0.786701	−	0.801780i
$960$	15.8574	−	21.3255i	0.511796	−	0.688277i
$961$	2.55907	−	4.43243i	0.0825505	−	0.142982i
$962$	−7.11272	+	4.83641i	−0.229323	+	0.155932i
$963$	3.35957	−	50.0369i	0.108261	−	1.61242i
$964$	−34.7867	−	13.7528i	−1.12040	−	0.442948i
$965$	37.0902	−	21.4140i	1.19398	−	0.689342i
$966$	−9.46867	−	31.4610i	−0.304649	−	1.01224i
$967$	−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	$0.847726\pi$
$968$	30.2408	−	6.78357i	0.971975	−	0.218032i
$969$	−40.0761	+	21.3801i	−1.28743	+	0.686829i
$970$	−10.0162	+	20.7329i	−0.321602	+	0.665692i
$971$	−0.831660	−	1.44048i	−0.0266892	−	0.0462271i	0.852372	−	0.522935i	$-0.175163\pi$
$971$	−0.831660	−	1.44048i	−0.0266892	−	0.0462271i	−0.879062	+	0.476708i	$0.841830\pi$
$972$	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
$975$	−0.0850773	+	2.53711i	−0.00272465	+	0.0812525i
$976$	11.8495	+	39.1051i	0.379292	+	1.25172i
$977$	5.90880	+	10.2343i	0.189039	+	0.327426i	0.944930	−	0.327272i	$-0.106129\pi$
$977$	5.90880	+	10.2343i	0.189039	+	0.327426i	−0.755891	+	0.654698i	$0.772796\pi$
$978$	0.0363436	+	0.907318i	0.00116214	+	0.0290128i
$979$	−0.309879	−	0.536725i	−0.00990376	−	0.0171538i
$980$	−10.3440	+	24.7780i	−0.330427	+	0.791504i
$981$	19.8019	+	40.3160i	0.632227	+	1.28719i
$982$	−0.723040	−	9.81216i	−0.0230731	−	0.313119i
$983$	−55.9628			−1.78494			−0.892468	−	0.451110i	$-0.851028\pi$
$983$	−55.9628			−1.78494			−0.892468	+	0.451110i	$0.851028\pi$
$984$	−7.97659	−	42.1237i	−0.254284	−	1.34285i
$985$			0.507912i			0.0161834i
$986$	24.2184	−	16.4677i	0.771270	−	0.524438i
$987$	18.5596	+	20.2291i	0.590759	+	0.643898i
$988$	−10.3027	−	4.07312i	−0.327771	−	0.129583i
$989$	1.46009	+	2.52894i	0.0464280	+	0.0804157i
$990$	1.67898	−	0.0109371i	0.0533616	−	0.000347604i
$991$	11.4916	+	6.63469i	0.365044	+	0.210758i	0.671291	−	0.741194i	$-0.265740\pi$
$991$	11.4916	+	6.63469i	0.365044	+	0.210758i	−0.306247	+	0.951952i	$0.599073\pi$
$992$	26.8543	−	10.3472i	0.852626	−	0.328523i
$993$	0.251140	−	7.48929i	0.00796968	−	0.237665i
$994$	13.6563	+	2.73611i	0.433153	+	0.0867840i
$995$	−11.3208	−	6.53607i	−0.358893	−	0.207207i
$996$	26.4944	+	35.7944i	0.839508	+	1.13419i
$997$		−	60.4610i		−	1.91482i	−0.288736	−	0.957409i	$-0.593235\pi$
$997$		−	60.4610i		−	1.91482i	0.288736	−	0.957409i	$-0.406765\pi$
$998$	21.3765	−	14.5353i	0.676661	−	0.460107i
$999$	11.7000	+	25.9873i	0.370171	+	0.822201i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.n.b.31.15	✓	84
3.2	odd	2		756.2.n.b.199.28		84
4.3	odd	2	inner	252.2.n.b.31.42	yes	84
7.5	odd	6		252.2.bj.b.103.14	yes	84
9.2	odd	6		756.2.bj.b.451.29		84
9.7	even	3		252.2.bj.b.115.14	yes	84
12.11	even	2		756.2.n.b.199.1		84
21.5	even	6		756.2.bj.b.523.29		84
28.19	even	6		252.2.bj.b.103.13	yes	84
36.7	odd	6		252.2.bj.b.115.13	yes	84
36.11	even	6		756.2.bj.b.451.30		84
63.47	even	6		756.2.n.b.19.1		84
63.61	odd	6	inner	252.2.n.b.187.42	yes	84
84.47	odd	6		756.2.bj.b.523.30		84
252.47	odd	6		756.2.n.b.19.28		84
252.187	even	6	inner	252.2.n.b.187.15	yes	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.n.b.31.15	✓	84	1.1	even	1	trivial
252.2.n.b.31.42	yes	84	4.3	odd	2	inner
252.2.n.b.187.15	yes	84	252.187	even	6	inner
252.2.n.b.187.42	yes	84	63.61	odd	6	inner
252.2.bj.b.103.13	yes	84	28.19	even	6
252.2.bj.b.103.14	yes	84	7.5	odd	6
252.2.bj.b.115.13	yes	84	36.7	odd	6
252.2.bj.b.115.14	yes	84	9.7	even	3
756.2.n.b.19.1		84	63.47	even	6
756.2.n.b.19.28		84	252.47	odd	6
756.2.n.b.199.1		84	12.11	even	2
756.2.n.b.199.28		84	3.2	odd	2
756.2.bj.b.451.29		84	9.2	odd	6
756.2.bj.b.451.30		84	36.11	even	6
756.2.bj.b.523.29		84	21.5	even	6
756.2.bj.b.523.30		84	84.47	odd	6

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.795200 - 1.16947i) q^{2} +(0.815267 + 1.52818i) q^{3} +(-0.735314 + 1.85992i) q^{4} -1.91789i q^{5} +(1.13886 - 2.16864i) q^{6} +(1.85299 + 1.88850i) q^{7} +(2.75984 - 0.619084i) q^{8} +(-1.67068 + 2.49175i) q^{9} +O(q^{10})\)	\(q+(-0.795200 - 1.16947i) q^{2} +(0.815267 + 1.52818i) q^{3} +(-0.735314 + 1.85992i) q^{4} -1.91789i q^{5} +(1.13886 - 2.16864i) q^{6} +(1.85299 + 1.88850i) q^{7} +(2.75984 - 0.619084i) q^{8} +(-1.67068 + 2.49175i) q^{9} +(-2.24291 + 1.52511i) q^{10} +0.206346i q^{11} +(-3.44178 + 0.392641i) q^{12} +(0.960331 + 0.554447i) q^{13} +(0.735050 - 3.66875i) q^{14} +(2.93088 - 1.56359i) q^{15} +(-2.91863 - 2.73525i) q^{16} +(4.54650 + 2.62492i) q^{17} +(4.24255 - 0.0276365i) q^{18} +(2.49766 + 4.32608i) q^{19} +(3.56713 + 1.41025i) q^{20} +(-1.37530 + 4.37133i) q^{21} +(0.241315 - 0.164086i) q^{22} -5.06964i q^{23} +(3.19608 + 3.71282i) q^{24} +1.32170 q^{25} +(-0.115246 - 1.56397i) q^{26} +(-5.16990 - 0.521654i) q^{27} +(-4.87500 + 2.05777i) q^{28} +(1.97233 + 3.41618i) q^{29} +(-4.15921 - 2.18421i) q^{30} +(-2.54371 - 4.40584i) q^{31} +(-0.877902 + 5.58832i) q^{32} +(-0.315334 + 0.168227i) 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} +(3.07307 - 6.36104i) q^{38} +(-0.0643697 + 1.91958i) q^{39} +(-1.18734 - 5.29308i) q^{40} +(-7.57882 - 4.37563i) q^{41} +(6.20577 - 1.86772i) q^{42} +(-0.498841 + 0.288006i) q^{43} +(-0.383788 - 0.151729i) q^{44} +(4.77891 + 3.20418i) q^{45} +(-5.92878 + 4.03138i) q^{46} +(2.99538 - 5.18815i) q^{47} +(1.80050 - 6.69016i) q^{48} +(-0.132882 + 6.99874i) q^{49} +(-1.05101 - 1.54568i) q^{50} +(-0.304746 + 9.08788i) q^{51} +(-1.73737 + 1.37845i) q^{52} +(-3.76097 + 6.51419i) q^{53} +(3.50105 + 6.46086i) q^{54} +0.395749 q^{55} +(6.28309 + 4.06482i) q^{56} +(-4.57477 + 7.34380i) q^{57} +(2.42672 - 5.02313i) q^{58} +(-5.39683 - 9.34759i) q^{59} +(0.753043 + 6.60095i) q^{60} +(-8.84666 - 5.10762i) q^{61} +(-3.12973 + 6.47831i) q^{62} +(-7.80143 + 1.46211i) q^{63} +(7.23347 - 3.41715i) q^{64} +(1.06337 - 1.84181i) q^{65} +(0.447490 + 0.234999i) q^{66} +(-7.33302 + 4.23372i) q^{67} +(-8.22525 + 6.52599i) q^{68} +(7.74733 - 4.13311i) q^{69} +(-7.03625 - 1.40974i) q^{70} +3.72234i q^{71} +(-3.06820 + 7.91114i) q^{72} +(-3.45583 - 1.99523i) q^{73} +(-3.37416 + 6.98427i) q^{74} +(1.07754 + 2.01979i) q^{75} +(-9.88275 + 1.46444i) q^{76} +(-0.389685 + 0.382356i) q^{77} +(2.29608 - 1.45117i) q^{78} +(15.1398 + 8.74099i) q^{79} +(-5.24592 + 5.59761i) q^{80} +(-3.41767 - 8.32584i) q^{81} +(0.909511 + 12.3427i) q^{82} +(-6.42780 - 11.1333i) q^{83} +(-7.11907 - 5.77225i) q^{84} +(5.03431 - 8.71968i) q^{85} +(0.733492 + 0.354356i) q^{86} +(-3.61256 + 5.79918i) q^{87} +(0.127745 + 0.569482i) 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} +(4.65911 - 7.47919i) q^{93} +(-8.44931 + 0.622614i) q^{94} +(8.29695 - 4.79025i) q^{95} +(-9.25569 + 3.21438i) q^{96} +(7.35194 - 4.24465i) q^{97} +(8.29047 - 5.41000i) q^{98} +(-0.514163 - 0.344738i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

Introduction

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