LMFDB - Embedded newform 504.2.cz.b.187.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(187,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(504, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 4, 5]))

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

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

chi := DirichletCharacter("504.187");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.cz (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:	$4.02446026187$
Analytic rank:	$0$
Dimension:	$180$
Relative dimension:	$90$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			187.13
Character	$\chi$	$=$	504.187
Dual form			504.2.cz.b.283.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.26090 + 0.640415i) q^{2} +(-0.200514 + 1.72041i) q^{3} +(1.17974 - 1.61500i) q^{4} +0.275961 q^{5} +(-0.848945 - 2.29767i) q^{6} +(-0.484862 - 2.60094i) q^{7} +(-0.453262 + 2.79187i) q^{8} +(-2.91959 - 0.689930i) q^{9} +O(q^{10})$	\(q+(-1.26090 + 0.640415i) q^{2} +(-0.200514 + 1.72041i) q^{3} +(1.17974 - 1.61500i) q^{4} +0.275961 q^{5} +(-0.848945 - 2.29767i) q^{6} +(-0.484862 - 2.60094i) q^{7} +(-0.453262 + 2.79187i) q^{8} +(-2.91959 - 0.689930i) q^{9} +(-0.347959 + 0.176729i) q^{10} +4.10513 q^{11} +(2.54190 + 2.35346i) q^{12} +(-2.45339 - 4.24940i) q^{13} +(2.27705 + 2.96902i) q^{14} +(-0.0553340 + 0.474765i) q^{15} +(-1.21644 - 3.81055i) q^{16} +(4.45798 - 2.57382i) q^{17} +(4.12315 - 0.999815i) q^{18} +(1.75450 + 1.01296i) q^{19} +(0.325561 - 0.445676i) q^{20} +(4.57190 - 0.312633i) q^{21} +(-5.17616 + 2.62899i) q^{22} -6.01844i q^{23} +(-4.71227 - 1.33960i) q^{24} -4.92385 q^{25} +(5.81486 + 3.78688i) q^{26} +(1.77238 - 4.88453i) q^{27} +(-4.77253 - 2.28538i) q^{28} +(0.00789073 + 0.00455571i) q^{29} +(-0.234276 - 0.634067i) q^{30} +(0.0470784 - 0.0815421i) q^{31} +(3.97414 + 4.02569i) q^{32} +(-0.823136 + 7.06249i) q^{33} +(-3.97276 + 6.10028i) q^{34} +(-0.133803 - 0.717759i) q^{35} +(-4.55858 + 3.90119i) q^{36} +(9.86892 + 5.69782i) q^{37} +(-2.86096 - 0.153634i) q^{38} +(7.80263 - 3.36877i) q^{39} +(-0.125082 + 0.770448i) q^{40} +(-2.82672 + 1.63201i) q^{41} +(-5.56449 + 3.32211i) q^{42} +(5.02266 - 8.69951i) q^{43} +(4.84298 - 6.62978i) q^{44} +(-0.805692 - 0.190394i) q^{45} +(3.85430 + 7.58865i) q^{46} +(3.66018 + 6.33963i) q^{47} +(6.79960 - 1.32870i) q^{48} +(-6.52982 + 2.52220i) q^{49} +(6.20848 - 3.15330i) q^{50} +(3.53412 + 8.18562i) q^{51} +(-9.75714 - 1.05095i) q^{52} +(-4.01066 + 2.31556i) q^{53} +(0.893338 + 7.29397i) q^{54} +1.13286 q^{55} +(7.48127 - 0.174764i) q^{56} +(-2.09450 + 2.81533i) q^{57} +(-0.0128670 - 0.000690959i) q^{58} +(8.58550 + 4.95684i) q^{59} +(0.701464 + 0.649462i) q^{60} +(-1.09434 - 1.89546i) q^{61} +(-0.00714032 + 0.132966i) q^{62} +(-0.378873 + 7.92821i) q^{63} +(-7.58911 - 2.53090i) q^{64} +(-0.677040 - 1.17267i) q^{65} +(-3.48503 - 9.43224i) q^{66} +(6.76435 - 11.7162i) q^{67} +(1.10254 - 10.2361i) q^{68} +(10.3542 + 1.20678i) q^{69} +(0.628375 + 0.819333i) q^{70} +9.76955i q^{71} +(3.24953 - 7.83840i) q^{72} +(-7.04268 + 4.06609i) q^{73} +(-16.0927 - 0.864181i) q^{74} +(0.987299 - 8.47101i) q^{75} +(3.70577 - 1.63848i) q^{76} +(-1.99042 - 10.6772i) q^{77} +(-7.68093 + 9.24460i) q^{78} +(13.5847 - 7.84311i) q^{79} +(-0.335690 - 1.05156i) q^{80} +(8.04799 + 4.02862i) q^{81} +(2.51905 - 3.86808i) q^{82} +(-9.26928 - 5.35162i) q^{83} +(4.88874 - 7.75243i) q^{84} +(1.23023 - 0.710273i) q^{85} +(-0.761781 + 14.1858i) q^{86} +(-0.00941987 + 0.0126618i) q^{87} +(-1.86070 + 11.4610i) q^{88} +(1.87221 + 1.08092i) q^{89} +(1.13783 - 0.275910i) q^{90} +(-9.86290 + 8.44151i) q^{91} +(-9.71978 - 7.10018i) q^{92} +(0.130846 + 0.0973442i) q^{93} +(-8.67512 - 5.64960i) q^{94} +(0.484172 + 0.279537i) q^{95} +(-7.72269 + 6.02992i) q^{96} +(-13.1673 - 7.60212i) q^{97} +(6.61820 - 7.36203i) q^{98} +(-11.9853 - 2.83225i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 180 q + 3 q^{2} + q^{4} + 6 q^{6} - 8 q^{9}+O(q^{10}) $ 180 * q + 3 * q^2 + q^4 + 6 * q^6 - 8 * q^9	$ 180 q + 3 q^{2} + q^{4} + 6 q^{6} - 8 q^{9} + 16 q^{11} - 3 q^{12} + 7 q^{14} - 7 q^{16} - 18 q^{17} - 13 q^{18} - 6 q^{19} - 36 q^{20} - 16 q^{22} - 24 q^{24} + 156 q^{25} - 6 q^{26} + 16 q^{28} - 8 q^{30} + 13 q^{32} - 36 q^{33} + 12 q^{34} - 12 q^{35} + 2 q^{36} + 42 q^{41} + 31 q^{42} + 14 q^{43} - 21 q^{44} - 12 q^{46} + 9 q^{48} + 20 q^{49} + 15 q^{50} - 42 q^{51} - 12 q^{54} - 40 q^{56} - 26 q^{57} - 38 q^{58} + 18 q^{59} - 38 q^{60} - 8 q^{64} - 12 q^{65} - 21 q^{66} - 14 q^{67} - 42 q^{70} + 5 q^{72} + 18 q^{73} - 98 q^{74} - 48 q^{75} + 12 q^{76} - 33 q^{78} - 63 q^{80} + 8 q^{81} - 54 q^{82} - 6 q^{83} - 77 q^{84} + 26 q^{86} - 58 q^{88} - 66 q^{89} + 51 q^{90} + 2 q^{91} - 60 q^{92} + 9 q^{94} - 30 q^{96} + 6 q^{97} + 31 q^{98} + 4 q^{99}+O(q^{100}) $ 180 * q + 3 * q^2 + q^4 + 6 * q^6 - 8 * q^9 + 16 * q^11 - 3 * q^12 + 7 * q^14 - 7 * q^16 - 18 * q^17 - 13 * q^18 - 6 * q^19 - 36 * q^20 - 16 * q^22 - 24 * q^24 + 156 * q^25 - 6 * q^26 + 16 * q^28 - 8 * q^30 + 13 * q^32 - 36 * q^33 + 12 * q^34 - 12 * q^35 + 2 * q^36 + 42 * q^41 + 31 * q^42 + 14 * q^43 - 21 * q^44 - 12 * q^46 + 9 * q^48 + 20 * q^49 + 15 * q^50 - 42 * q^51 - 12 * q^54 - 40 * q^56 - 26 * q^57 - 38 * q^58 + 18 * q^59 - 38 * q^60 - 8 * q^64 - 12 * q^65 - 21 * q^66 - 14 * q^67 - 42 * q^70 + 5 * q^72 + 18 * q^73 - 98 * q^74 - 48 * q^75 + 12 * q^76 - 33 * q^78 - 63 * q^80 + 8 * q^81 - 54 * q^82 - 6 * q^83 - 77 * q^84 + 26 * q^86 - 58 * q^88 - 66 * q^89 + 51 * q^90 + 2 * q^91 - 60 * q^92 + 9 * q^94 - 30 * q^96 + 6 * q^97 + 31 * q^98 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/504\mathbb{Z}\right)^\times$.

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$-1$	$-1$	$e\left(\frac{2}{3}\right)$

Coefficient data

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

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

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

$2$	−1.26090	+	0.640415i	−0.891591	+	0.452842i
$2$	−1.26090	+	0.640415i	−0.891591	+	0.452842i
$3$	−0.200514	+	1.72041i	−0.115767	+	0.993276i
$3$	−0.200514	+	1.72041i	−0.115767	+	0.993276i
$4$	1.17974	−	1.61500i	0.589869	−	0.807499i
$5$	0.275961			0.123413			0.0617067	−	0.998094i	$-0.480346\pi$
$5$	0.275961			0.123413			0.0617067	+	0.998094i	$0.480346\pi$
$6$	−0.848945	−	2.29767i	−0.346580	−	0.938020i
$7$	−0.484862	−	2.60094i	−0.183260	−	0.983064i
$7$	−0.484862	−	2.60094i	−0.183260	−	0.983064i
$8$	−0.453262	+	2.79187i	−0.160252	+	0.987076i
$9$	−2.91959	−	0.689930i	−0.973196	−	0.229977i
$10$	−0.347959	+	0.176729i	−0.110034	+	0.0558868i
$11$	4.10513			1.23774			0.618872	−	0.785492i	$-0.287590\pi$
$11$	4.10513			1.23774			0.618872	+	0.785492i	$0.287590\pi$
$12$	2.54190	+	2.35346i	0.733783	+	0.679384i
$13$	−2.45339	−	4.24940i	−0.680449	−	1.17857i	−0.974844	−	0.222888i	$-0.928452\pi$
$13$	−2.45339	−	4.24940i	−0.680449	−	1.17857i	0.294395	−	0.955684i	$-0.404882\pi$
$14$	2.27705	+	2.96902i	0.608566	+	0.793503i
$15$	−0.0553340	+	0.474765i	−0.0142872	+	0.122584i
$16$	−1.21644	−	3.81055i	−0.304110	−	0.952637i
$17$	4.45798	−	2.57382i	1.08122	−	0.624242i	0.149994	−	0.988687i	$-0.452075\pi$
$17$	4.45798	−	2.57382i	1.08122	−	0.624242i	0.931225	+	0.364445i	$0.118741\pi$
$18$	4.12315	−	0.999815i	0.971836	−	0.235659i
$19$	1.75450	+	1.01296i	0.402509	+	0.232389i	0.687566	−	0.726122i	$-0.258679\pi$
$19$	1.75450	+	1.01296i	0.402509	+	0.232389i	−0.285057	+	0.958511i	$0.592013\pi$
$20$	0.325561	−	0.445676i	0.0727977	−	0.0996563i
$21$	4.57190	−	0.312633i	0.997670	−	0.0682222i
$22$	−5.17616	+	2.62899i	−1.10356	+	0.560502i
$23$		−	6.01844i		−	1.25493i	−0.778644	−	0.627466i	$-0.784092\pi$
$23$		−	6.01844i		−	1.25493i	0.778644	−	0.627466i	$-0.215908\pi$
$24$	−4.71227	−	1.33960i	−0.961888	−	0.273445i
$25$	−4.92385			−0.984769
$26$	5.81486	+	3.78688i	1.14039	+	0.742668i
$27$	1.77238	−	4.88453i	0.341094	−	0.940029i
$28$	−4.77253	−	2.28538i	−0.901923	−	0.431896i
$29$	0.00789073	+	0.00455571i	0.00146527	+	0.000845975i	0.500732	−	0.865602i	$-0.333064\pi$
$29$	0.00789073	+	0.00455571i	0.00146527	+	0.000845975i	−0.499267	+	0.866448i	$0.666397\pi$
$30$	−0.234276	−	0.634067i	−0.0427727	−	0.115764i
$31$	0.0470784	−	0.0815421i	0.00845553	−	0.0146454i	−0.861767	−	0.507305i	$-0.830642\pi$
$31$	0.0470784	−	0.0815421i	0.00845553	−	0.0146454i	0.870222	+	0.492659i	$0.163975\pi$
$32$	3.97414	+	4.02569i	0.702535	+	0.711649i
$33$	−0.823136	+	7.06249i	−0.143289	+	1.22942i
$34$	−3.97276	+	6.10028i	−0.681322	+	1.04619i
$35$	−0.133803	−	0.717759i	−0.0226168	−	0.121323i
$36$	−4.55858	+	3.90119i	−0.759764	+	0.650199i
$37$	9.86892	+	5.69782i	1.62244	+	0.936716i	0.986265	+	0.165172i	$0.0528179\pi$
$37$	9.86892	+	5.69782i	1.62244	+	0.936716i	0.636175	+	0.771544i	$0.280515\pi$
$38$	−2.86096	−	0.153634i	−0.464109	−	0.0249227i
$39$	7.80263	−	3.36877i	1.24942	−	0.539434i
$40$	−0.125082	+	0.770448i	−0.0197773	+	0.121818i
$41$	−2.82672	+	1.63201i	−0.441460	+	0.254877i	−0.704217	−	0.709985i	$-0.748702\pi$
$41$	−2.82672	+	1.63201i	−0.441460	+	0.254877i	0.262757	+	0.964862i	$0.415368\pi$
$42$	−5.56449	+	3.32211i	−0.858620	+	0.512613i
$43$	5.02266	−	8.69951i	0.765949	−	1.32666i	−0.173795	−	0.984782i	$-0.555603\pi$
$43$	5.02266	−	8.69951i	0.765949	−	1.32666i	0.939743	−	0.341880i	$-0.111064\pi$
$44$	4.84298	−	6.62978i	0.730106	−	0.999477i
$45$	−0.805692	−	0.190394i	−0.120106	−	0.0283822i
$46$	3.85430	+	7.58865i	0.568286	+	1.11889i
$47$	3.66018	+	6.33963i	0.533893	+	0.924729i	0.999216	+	0.0395886i	$0.0126047\pi$
$47$	3.66018	+	6.33963i	0.533893	+	0.924729i	−0.465323	+	0.885141i	$0.654062\pi$
$48$	6.79960	−	1.32870i	0.981438	−	0.191782i
$49$	−6.52982	+	2.52220i	−0.932831	+	0.360314i
$50$	6.20848	−	3.15330i	0.878011	−	0.445945i
$51$	3.53412	+	8.18562i	0.494876	+	1.14622i
$52$	−9.75714	−	1.05095i	−1.35307	−	0.145741i
$53$	−4.01066	+	2.31556i	−0.550907	+	0.318066i	−0.749488	−	0.662018i	$-0.769700\pi$
$53$	−4.01066	+	2.31556i	−0.550907	+	0.318066i	0.198581	+	0.980085i	$0.436367\pi$
$54$	0.893338	+	7.29397i	0.121568	+	0.992583i
$55$	1.13286			0.152754
$56$	7.48127	−	0.174764i	0.999727	−	0.0233538i
$57$	−2.09450	+	2.81533i	−0.277423	+	0.372900i
$58$	−0.0128670		0.000690959i	−0.00168952		9.07274e-5i
$59$	8.58550	+	4.95684i	1.11774	+	0.645326i	0.940822	−	0.338901i	$-0.110055\pi$
$59$	8.58550	+	4.95684i	1.11774	+	0.645326i	0.176915	+	0.984226i	$0.443388\pi$
$60$	0.701464	+	0.649462i	0.0905587	+	0.0838452i
$61$	−1.09434	−	1.89546i	−0.140116	−	0.242689i	0.787424	−	0.616412i	$-0.211414\pi$
$61$	−1.09434	−	1.89546i	−0.140116	−	0.242689i	−0.927540	+	0.373723i	$0.878081\pi$
$62$	−0.00714032	+	0.132966i	−0.000906821	+	0.0168867i
$63$	−0.378873	+	7.92821i	−0.0477335	+	0.998860i
$64$	−7.58911	−	2.53090i	−0.948638	−	0.316362i
$65$	−0.677040	−	1.17267i	−0.0839765	−	0.145452i
$66$	−3.48503	−	9.43224i	−0.428978	−	1.16103i
$67$	6.76435	−	11.7162i	0.826397	−	1.43136i	−0.0744491	−	0.997225i	$-0.523720\pi$
$67$	6.76435	−	11.7162i	0.826397	−	1.43136i	0.900847	−	0.434138i	$-0.142947\pi$
$68$	1.10254	−	10.2361i	0.133702	−	1.24130i
$69$	10.3542	+	1.20678i	1.24649	+	0.145279i
$70$	0.628375	+	0.819333i	0.0751052	+	0.0979290i
$71$			9.76955i			1.15943i	0.814818	+	0.579716i	$0.196837\pi$
$71$			9.76955i			1.15943i	−0.814818	+	0.579716i	$0.803163\pi$
$72$	3.24953	−	7.83840i	0.382961	−	0.923764i
$73$	−7.04268	+	4.06609i	−0.824284	+	0.475900i	−0.851891	−	0.523719i	$-0.824544\pi$
$73$	−7.04268	+	4.06609i	−0.824284	+	0.475900i	0.0276078	+	0.999619i	$0.491211\pi$
$74$	−16.0927	−	0.864181i	−1.87074	−	0.100459i
$75$	0.987299	−	8.47101i	0.114003	−	0.978148i
$76$	3.70577	−	1.63848i	0.425081	−	0.187947i
$77$	−1.99042	−	10.6772i	−0.226829	−	1.21678i
$78$	−7.68093	+	9.24460i	−0.869694	+	1.04674i
$79$	13.5847	−	7.84311i	1.52839	−	0.882419i	0.528965	−	0.848643i	$-0.322580\pi$
$79$	13.5847	−	7.84311i	1.52839	−	0.882419i	0.999429	−	0.0337757i	$-0.0107532\pi$
$80$	−0.335690	−	1.05156i	−0.0375313	−	0.117568i
$81$	8.04799	+	4.02862i	0.894221	+	0.447625i
$82$	2.51905	−	3.86808i	0.278183	−	0.427157i
$83$	−9.26928	−	5.35162i	−1.01744	−	0.587417i	−0.104076	−	0.994569i	$-0.533188\pi$
$83$	−9.26928	−	5.35162i	−1.01744	−	0.587417i	−0.913360	+	0.407152i	$0.866522\pi$
$84$	4.88874	−	7.75243i	0.533405	−	0.845860i
$85$	1.23023	−	0.710273i	0.133437	−	0.0770399i
$86$	−0.761781	+	14.1858i	−0.0821449	+	1.52969i
$87$	−0.00941987	+	0.0126618i	−0.00100992	+	0.00135748i
$88$	−1.86070	+	11.4610i	−0.198351	+	1.22175i
$89$	1.87221	+	1.08092i	0.198454	+	0.114578i	0.595934	−	0.803033i	$-0.296782\pi$
$89$	1.87221	+	1.08092i	0.198454	+	0.114578i	−0.397480	+	0.917611i	$0.630115\pi$
$90$	1.13783	−	0.275910i	0.119938	−	0.0290835i
$91$	−9.86290	+	8.44151i	−1.03391	+	0.884911i
$92$	−9.71978	−	7.10018i	−1.01336	−	0.740245i
$93$	0.130846	+	0.0973442i	0.0135681	+	0.0100941i
$94$	−8.67512	−	5.64960i	−0.894770	−	0.582711i
$95$	0.484172	+	0.279537i	0.0496750	+	0.0286799i
$96$	−7.72269	+	6.02992i	−0.788194	+	0.615427i
$97$	−13.1673	−	7.60212i	−1.33693	−	0.771878i	−0.350581	−	0.936533i	$-0.614016\pi$
$97$	−13.1673	−	7.60212i	−1.33693	−	0.771878i	−0.986351	+	0.164655i	$0.947349\pi$
$98$	6.61820	−	7.36203i	0.668539	−	0.743677i
$99$	−11.9853	−	2.83225i	−1.20457	−	0.284652i
$100$	−5.80884	+	7.95200i	−0.580884	+	0.795200i
$101$	−8.45367			−0.841172			−0.420586	−	0.907253i	$-0.638175\pi$
$101$	−8.45367			−0.841172			−0.420586	+	0.907253i	$0.638175\pi$
$102$	−9.69837	−	8.05794i	−0.960281	−	0.797855i
$103$	−3.49391			−0.344265			−0.172133	−	0.985074i	$-0.555066\pi$
$103$	−3.49391			−0.344265			−0.172133	+	0.985074i	$0.555066\pi$
$104$	12.9758	−	4.92347i	1.27238	−	0.482786i
$105$	1.26167	−	0.0862746i	0.123126	−	0.00841954i
$106$	3.57413	−	5.48817i	0.347150	−	0.533059i
$107$	1.41966	−	2.45893i	0.137244	−	0.237714i	−0.789208	−	0.614125i	$-0.789509\pi$
$107$	1.41966	−	2.45893i	0.137244	−	0.237714i	0.926452	+	0.376412i	$0.122842\pi$
$108$	−5.79758	−	8.62485i	−0.557872	−	0.829927i
$109$	2.25537	−	1.30214i	0.216025	−	0.124722i	−0.388083	−	0.921624i	$-0.626863\pi$
$109$	2.25537	−	1.30214i	0.216025	−	0.124722i	0.604108	+	0.796902i	$0.293529\pi$
$110$	−1.42842	+	0.725498i	−0.136194	+	0.0691735i
$111$	−11.7814	+	15.8360i	−1.11824	+	1.50309i
$112$	−9.32122	+	5.01148i	−0.880772	+	0.473540i
$113$	−3.25886	−	5.64452i	−0.306568	−	0.530992i	0.671041	−	0.741420i	$-0.265847\pi$
$113$	−3.25886	−	5.64452i	−0.306568	−	0.530992i	−0.977609	+	0.210429i	$0.932514\pi$
$114$	0.837975	−	4.89120i	0.0784835	−	0.458103i
$115$		−	1.66085i		−	0.154876i
$116$	0.0166665	−	0.00736897i	0.00154744	−	0.000684191i
$117$	4.23111	+	14.0992i	0.391166	+	1.30347i
$118$	−13.9999	−	0.751798i	−1.28879	−	0.0692086i
$119$	−8.85586	−	10.3470i	−0.811815	−	0.948509i
$120$	−1.30040	−	0.369678i	−0.118710	−	0.0337468i
$121$	5.85210			0.532009
$122$	2.59374	+	1.68915i	0.234826	+	0.152929i
$123$	−2.24092	−	5.19035i	−0.202057	−	0.467998i
$124$	−0.0761503	−	0.172230i	−0.00683850	−	0.0154667i
$125$	−2.73859			−0.244947
$126$	−4.59962	−	10.2393i	−0.409767	−	0.912190i
$127$		−	4.51856i		−	0.400957i	−0.979698	−	0.200478i	$-0.935750\pi$
$127$		−	4.51856i		−	0.400957i	0.979698	−	0.200478i	$-0.0642497\pi$
$128$	11.1899	−	1.66897i	0.989059	−	0.147517i
$129$	13.9596	+	10.3854i	1.22907	+	0.914382i
$130$	1.60467	+	1.04503i	0.140739	+	0.0916553i
$131$			7.98209i			0.697399i	0.937235	+	0.348699i	$0.113377\pi$
$131$			7.98209i			0.697399i	−0.937235	+	0.348699i	$0.886623\pi$
$132$	10.4348	+	9.66124i	0.908235	+	0.840903i
$133$	1.78396	−	5.05449i	0.154689	−	0.438280i
$134$	−1.02594	+	19.1050i	−0.0886278	+	1.65042i
$135$	0.489107	−	1.34794i	0.0420956	−	0.116012i
$136$	5.16514	+	13.6127i	0.442907	+	1.16728i
$137$	6.85957			0.586053			0.293026	−	0.956104i	$-0.405338\pi$
$137$	6.85957			0.586053			0.293026	+	0.956104i	$0.405338\pi$
$138$	−13.8284	+	5.10933i	−1.17715	+	0.434935i
$139$	−3.09890	+	1.78915i	−0.262845	+	0.151754i	−0.625632	−	0.780118i	$-0.715159\pi$
$139$	−3.09890	+	1.78915i	−0.262845	+	0.151754i	0.362786	+	0.931872i	$0.381825\pi$
$140$	−1.31703	−	0.630675i	−0.111309	−	0.0533018i
$141$	−11.6406	+	5.02582i	−0.980319	+	0.423250i
$142$	−6.25657	−	12.3184i	−0.525039	−	1.03374i
$143$	−10.0715	−	17.4443i	−0.842221	−	1.45877i
$144$	0.922491	+	11.9645i	0.0768742	+	0.997041i
$145$	0.00217753	+	0.00125720i	0.000180834	+	0.000104405i
$146$	6.27613	−	9.63718i	0.519416	−	0.797578i
$147$	−3.02988	−	11.7397i	−0.249900	−	0.968272i
$148$	20.8447	−	9.21635i	1.71342	−	0.757580i
$149$			2.35104i			0.192605i	0.995352	+	0.0963023i	$0.0307015\pi$
$149$			2.35104i			0.192605i	−0.995352	+	0.0963023i	$0.969298\pi$
$150$	4.18008	+	11.3134i	0.341302	+	0.923733i
$151$		−	7.01587i		−	0.570944i	−0.958387	−	0.285472i	$-0.907850\pi$
$151$		−	7.01587i		−	0.570944i	0.958387	−	0.285472i	$-0.0921503\pi$
$152$	−3.62330	+	4.43919i	−0.293888	+	0.360066i
$153$	−14.7912	+	4.43879i	−1.19580	+	0.358855i
$154$	9.34757	+	12.1882i	0.753249	+	0.982153i
$155$	0.0129918	−	0.0225024i	0.00104353	−	0.00180744i
$156$	3.76450	−	16.5755i	0.301402	−	1.32710i
$157$	2.00944	−	3.48045i	0.160371	−	0.277770i	−0.774631	−	0.632414i	$-0.782064\pi$
$157$	2.00944	−	3.48045i	0.160371	−	0.277770i	0.935002	+	0.354643i	$0.115398\pi$
$158$	−12.1061	+	18.5892i	−0.963107	+	1.47888i
$159$	−3.17950	−	7.36427i	−0.252151	−	0.584024i
$160$	1.09671	+	1.11093i	0.0867023	+	0.0878270i
$161$	−15.6536	+	2.91811i	−1.23368	+	0.229979i
$162$	−12.7277	+	0.0743629i	−0.999983	+	0.00584250i
$163$	4.39921	−	7.61966i	0.344573	−	0.596818i	−0.640703	−	0.767789i	$-0.721357\pi$
$163$	4.39921	−	7.61966i	0.344573	−	0.596818i	0.985276	+	0.170971i	$0.0546905\pi$
$164$	−0.699098	+	6.49049i	−0.0545904	+	0.506822i
$165$	−0.227153	+	1.94897i	−0.0176839	+	0.151727i
$166$	15.1149	+	0.811674i	1.17314	+	0.0629981i
$167$	−6.76620	−	11.7194i	−0.523584	−	0.906875i	−0.999623	−	0.0274504i	$-0.991261\pi$
$167$	−6.76620	−	11.7194i	−0.523584	−	0.906875i	0.476039	−	0.879424i	$-0.342072\pi$
$168$	−1.19943	+	12.9059i	−0.0925383	+	0.995709i
$169$	−5.53827	+	9.59257i	−0.426021	+	0.737890i
$170$	−1.09633	+	1.68344i	−0.0840843	+	0.129114i
$171$	−4.42354	−	4.16790i	−0.338276	−	0.318727i
$172$	−8.12427	−	18.3747i	−0.619469	−	1.40106i
$173$	7.64593	+	13.2431i	0.581309	+	1.00686i	0.995325	+	0.0965872i	$0.0307927\pi$
$173$	7.64593	+	13.2431i	0.581309	+	1.00686i	−0.414015	+	0.910270i	$0.635874\pi$
$174$	0.00376873	−	0.0219978i	0.000285707	−	0.00166765i
$175$	2.38738	+	12.8066i	0.180469	+	0.968091i
$176$	−4.99364	−	15.6428i	−0.376410	−	1.17912i
$177$	−10.2493	+	13.7766i	−0.770383	+	1.03551i
$178$	−3.05291	−	0.163942i	−0.228826	−	0.0122880i
$179$	2.47792	+	4.29188i	0.185208	+	0.320790i	0.943647	−	0.330955i	$-0.107371\pi$
$179$	2.47792	+	4.29188i	0.185208	+	0.320790i	−0.758438	+	0.651745i	$0.774037\pi$
$180$	−1.25799	+	1.07658i	−0.0937651	+	0.0802433i
$181$	−4.85071			−0.360551			−0.180275	−	0.983616i	$-0.557699\pi$
$181$	−4.85071			−0.360551			−0.180275	+	0.983616i	$0.557699\pi$
$182$	7.03006	−	16.9602i	0.521103	−	1.25718i
$183$	3.48039	−	1.50265i	0.257278	−	0.111079i
$184$	16.8027	+	2.72793i	1.23871	+	0.201106i
$185$	2.72344	+	1.57238i	0.200231	+	0.115603i
$186$	−0.227324	−	0.0389458i	−0.0166682	−	0.00285564i
$187$	18.3006	−	10.5659i	1.33827	−	0.772652i
$188$	14.5565	+	1.56790i	1.06164	+	0.114351i
$189$	−13.5638	−	2.24153i	−0.986618	−	0.163047i
$190$	−0.789512	−	0.0423970i	−0.0572773	−	0.00307580i
$191$	−14.8827	+	8.59252i	−1.07687	+	0.621733i	−0.930051	−	0.367430i	$-0.880238\pi$
$191$	−14.8827	+	8.59252i	−1.07687	+	0.621733i	−0.146822	+	0.989163i	$0.546904\pi$
$192$	5.87589	−	12.5489i	0.424056	−	0.905636i
$193$	2.09843	−	3.63459i	0.151048	−	0.261624i	−0.780565	−	0.625075i	$-0.785068\pi$
$193$	2.09843	−	3.63459i	0.151048	−	0.261624i	0.931613	+	0.363451i	$0.118402\pi$
$194$	21.4711	+	1.15300i	1.54153	+	0.0827808i
$195$	2.15322	−	0.929648i	0.154195	−	0.0665735i
$196$	−3.63013	+	13.5212i	−0.259295	+	0.965798i
$197$		−	19.1512i		−	1.36447i	−0.731135	−	0.682233i	$-0.761009\pi$
$197$		−	19.1512i		−	1.36447i	0.731135	−	0.682233i	$-0.238991\pi$
$198$	16.9261	−	4.10437i	1.20288	−	0.291685i
$199$	2.49460	+	4.32078i	0.176838	+	0.306292i	0.940796	−	0.338974i	$-0.110080\pi$
$199$	2.49460	+	4.32078i	0.176838	+	0.306292i	−0.763958	+	0.645266i	$0.776747\pi$
$200$	2.23179	−	13.7468i	0.157811	−	0.972042i
$201$	18.8003	+	13.9867i	1.32607	+	0.986545i
$202$	10.6592	−	5.41386i	0.749981	−	0.380918i
$203$	0.00802324	−	0.0227322i	0.000563121	−	0.00159549i
$204$	17.3891	+	3.94928i	1.21748	+	0.276505i
$205$	−0.780065	+	0.450371i	−0.0544821	+	0.0314553i
$206$	4.40547	−	2.23755i	0.306944	−	0.155898i
$207$	−4.15231	+	17.5714i	−0.288605	+	1.22130i
$208$	−13.2081	+	14.5179i	−0.915820	+	1.00664i
$209$	7.20243	+	4.15833i	0.498203	+	0.287638i
$210$	−1.53558	+	0.916773i	−0.105965	+	0.0632633i
$211$	8.96406	+	15.5262i	0.617111	+	1.06887i	0.990010	+	0.140996i	$0.0450304\pi$
$211$	8.96406	+	15.5262i	0.617111	+	1.06887i	−0.372899	+	0.927872i	$0.621636\pi$
$212$	−0.991908	+	9.20896i	−0.0681245	+	0.632474i
$213$	−16.8076	−	1.95893i	−1.15164	−	0.134224i
$214$	−0.215319	+	4.00964i	−0.0147189	+	0.274093i
$215$	1.38606	−	2.40072i	0.0945284	−	0.163728i
$216$	12.8336	+	7.16222i	0.873219	+	0.487328i
$217$	−0.234913	−	0.0829115i	−0.0159469	−	0.00562840i
$218$	−2.00988	+	3.08623i	−0.136127	+	0.209026i
$219$	−5.58317	−	12.9316i	−0.377276	−	0.873835i
$220$	1.33647	−	1.82956i	0.0901049	−	0.123349i
$221$	−21.8744	−	12.6292i	−1.47143	−	0.849530i
$222$	4.71355	−	27.5127i	0.316353	−	1.84653i
$223$	−8.15642	+	14.1273i	−0.546194	+	0.946036i	0.452337	+	0.891847i	$0.350591\pi$
$223$	−8.15642	+	14.1273i	−0.546194	+	0.946036i	−0.998531	+	0.0541888i	$0.982743\pi$
$224$	8.54369	−	12.2884i	0.570850	−	0.821055i
$225$	14.3756	+	3.39711i	0.958373	+	0.226474i
$226$	7.72394	+	5.03015i	0.513789	+	0.334600i
$227$			17.3976i			1.15472i	0.816491	+	0.577358i	$0.195916\pi$
$227$			17.3976i			1.15472i	−0.816491	+	0.577358i	$0.804084\pi$
$228$	2.07580	+	6.70397i	0.137473	+	0.443981i
$229$	15.0194			0.992508			0.496254	−	0.868177i	$-0.334709\pi$
$229$	15.0194			0.992508			0.496254	+	0.868177i	$0.334709\pi$
$230$	1.06364	+	2.09417i	0.0701341	+	0.138086i
$231$	18.7682	−	1.28340i	1.23486	−	0.0844416i
$232$	−0.0162955	+	0.0199650i	−0.00106985	+	0.00131077i
$233$	3.16471	−	5.48143i	0.207327	−	0.359100i	−0.743545	−	0.668686i	$-0.766857\pi$
$233$	3.16471	−	5.48143i	0.207327	−	0.359100i	0.950872	+	0.309586i	$0.100190\pi$
$234$	−14.3643	−	15.0680i	−0.939025	−	0.985025i
$235$	1.01007	+	1.74949i	0.0658896	+	0.114124i
$236$	18.1339	−	8.01780i	1.18042	−	0.521914i
$237$	10.7694	+	24.9438i	0.699549	+	1.62027i
$238$	17.7927	+	7.37513i	1.15333	+	0.478058i
$239$	−5.31791	+	3.07030i	−0.343987	+	0.198601i	−0.662034	−	0.749474i	$-0.730306\pi$
$239$	−5.31791	+	3.07030i	−0.343987	+	0.198601i	0.318047	+	0.948075i	$0.396973\pi$
$240$	1.87642	−	0.366670i	0.121123	−	0.0236684i
$241$			13.8453i			0.891852i	0.895070	+	0.445926i	$0.147126\pi$
$241$			13.8453i			0.891852i	−0.895070	+	0.445926i	$0.852874\pi$
$242$	−7.37891	+	3.74777i	−0.474334	+	0.240916i
$243$	−8.54460	+	13.0380i	−0.548136	+	0.836389i
$244$	−4.35220	−	0.468781i	−0.278621	−	0.0300106i
$245$	−1.80197	+	0.696027i	−0.115124	+	0.0444676i
$246$	6.14955	+	5.10939i	0.392081	+	0.325763i
$247$		−	9.94074i		−	0.632514i
$248$	0.206316	+	0.168397i	0.0131011	+	0.0106932i
$249$	11.0656	−	14.8738i	0.701253	−	0.942592i
$250$	3.45309	−	1.75384i	0.218393	−	0.110922i
$251$			9.54333i			0.602370i	0.953566	+	0.301185i	$0.0973821\pi$
$251$			9.54333i			0.602370i	−0.953566	+	0.301185i	$0.902618\pi$
$252$	12.3571	+	9.96508i	0.778422	+	0.627741i
$253$		−	24.7065i		−	1.55328i
$254$	2.89375	+	5.69745i	0.181570	+	0.357490i
$255$	0.975279	+	2.25891i	0.0610743	+	0.141458i
$256$	−13.0405	+	9.27060i	−0.815034	+	0.579413i
$257$		−	22.4081i		−	1.39778i	−0.715231	−	0.698888i	$-0.753678\pi$
$257$		−	22.4081i		−	1.39778i	0.715231	−	0.698888i	$-0.246322\pi$
$258$	−24.2526	−	4.15502i	−1.50990	−	0.258680i
$259$	10.0347	−	28.4312i	0.623523	−	1.76663i
$260$	−2.69259	−	0.290022i	−0.166987	−	0.0179864i
$261$	−0.0198946	−	0.0187449i	−0.00123144	−	0.00116028i
$262$	−5.11185	−	10.0646i	−0.315811	−	0.621794i
$263$			19.0973i			1.17759i	0.808283	+	0.588795i	$0.200397\pi$
$263$			19.0973i			1.17759i	−0.808283	+	0.588795i	$0.799603\pi$
$264$	−19.3445	−	5.49924i	−1.19057	−	0.338455i
$265$	−1.10679	+	0.639003i	−0.0679893	+	0.0392537i
$266$	0.987575	+	7.51568i	0.0605521	+	0.460816i
$267$	−2.23503	+	3.00423i	−0.136782	+	0.183856i
$268$	−10.9415	−	24.7465i	−0.668358	−	1.51163i
$269$	12.2197	+	21.1651i	0.745047	+	1.29046i	0.950173	+	0.311724i	$0.100907\pi$
$269$	12.2197	+	21.1651i	0.745047	+	1.29046i	−0.205125	+	0.978736i	$0.565760\pi$
$270$	0.246526	+	2.01285i	0.0150031	+	0.122498i
$271$	5.14420	−	8.91001i	0.312488	−	0.541245i	−0.666413	−	0.745583i	$-0.732171\pi$
$271$	5.14420	−	8.91001i	0.312488	−	0.541245i	0.978900	+	0.204339i	$0.0655043\pi$
$272$	−15.2305	−	13.8565i	−0.923486	−	0.840171i
$273$	−12.5452	−	18.6608i	−0.759268	−	1.12940i
$274$	−8.64923	+	4.39297i	−0.522519	+	0.265389i
$275$	−20.2130			−1.21889
$276$	14.1641	−	15.2983i	0.852581	−	0.920848i
$277$			10.4976i			0.630741i	0.948969	+	0.315370i	$0.102129\pi$
$277$			10.4976i			0.630741i	−0.948969	+	0.315370i	$0.897871\pi$
$278$	2.76161	−	4.24052i	0.165630	−	0.254330i
$279$	−0.193708	+	0.205589i	−0.0115970	+	0.0123083i
$280$	2.06454	−	0.0482281i	0.123380	−	0.00288218i
$281$	14.5764	−	25.2471i	0.869558	−	1.50612i	0.00710865	−	0.999975i	$-0.497737\pi$
$281$	14.5764	−	25.2471i	0.869558	−	1.50612i	0.862449	−	0.506144i	$-0.168929\pi$
$282$	11.4591	−	13.7919i	0.682378	−	0.821295i
$283$	19.0309	+	10.9875i	1.13127	+	0.653140i	0.944254	−	0.329216i	$-0.106785\pi$
$283$	19.0309	+	10.9875i	1.13127	+	0.653140i	0.187017	+	0.982357i	$0.440118\pi$
$284$	15.7778	+	11.5255i	0.936241	+	0.683913i
$285$	−0.578000	+	0.776921i	−0.0342378	+	0.0460209i
$286$	23.8708	+	15.5456i	1.41151	+	0.919233i
$287$	5.61533	+	6.56085i	0.331463	+	0.387275i
$288$	−8.82541	−	14.4952i	−0.520042	−	0.854141i
$289$	4.74906	−	8.22562i	0.279357	−	0.483860i
$290$	−0.00355078		0.000190678i	−0.000208509		1.11970e-5i
$291$	15.7189	−	21.1287i	0.921460	−	1.23859i
$292$	−1.74178	+	16.1708i	−0.101930	+	0.946327i
$293$	5.08832	+	8.81324i	0.297263	+	0.514875i	0.975509	−	0.219960i	$-0.0705928\pi$
$293$	5.08832	+	8.81324i	0.297263	+	0.514875i	−0.678246	+	0.734835i	$0.737260\pi$
$294$	11.3386	+	12.8622i	0.661283	+	0.750137i
$295$	2.36926	+	1.36789i	0.137944	+	0.0796419i
$296$	−20.3808	+	24.9702i	−1.18461	+	1.45136i
$297$	7.27584	−	20.0517i	0.422187	−	1.16351i
$298$	−1.50564	−	2.96442i	−0.0872194	−	0.171724i
$299$	−25.5748	+	14.7656i	−1.47903	+	0.853917i
$300$	−12.5159	−	11.5881i	−0.722607	−	0.669037i
$301$	−25.0622	−	8.84561i	−1.44456	−	0.509852i
$302$	4.49307	+	8.84632i	0.258547	+	0.509048i
$303$	1.69508	−	14.5437i	0.0973797	−	0.835516i
$304$	1.72569	−	7.91779i	0.0989751	−	0.454117i
$305$	−0.301996	−	0.523073i	−0.0172923	−	0.0299511i
$306$	15.8076	−	15.0694i	0.903660	−	0.861460i
$307$			24.1902i			1.38061i	0.723519	+	0.690305i	$0.242523\pi$
$307$			24.1902i			1.38061i	−0.723519	+	0.690305i	$0.757477\pi$
$308$	−19.5919	−	9.38178i	−1.11635	−	0.534577i
$309$	0.700577	−	6.01094i	0.0398545	−	0.341951i
$310$	−0.00197045	+	0.0366935i	−0.000111914	+	0.00208405i
$311$	1.21243	−	2.09998i	0.0687504	−	0.119079i	−0.829601	−	0.558357i	$-0.811432\pi$
$311$	1.21243	−	2.09998i	0.0687504	−	0.119079i	0.898351	+	0.439277i	$0.144765\pi$
$312$	5.86853	+	23.3109i	0.332240	+	1.31972i
$313$	−28.9828	+	16.7332i	−1.63821	+	0.945818i	−0.656754	+	0.754105i	$0.728071\pi$
$313$	−28.9828	+	16.7332i	−1.63821	+	0.945818i	−0.981451	+	0.191714i	$0.938596\pi$
$314$	−0.304769	+	5.67537i	−0.0171991	+	0.320280i
$315$	−0.104554	+	2.18787i	−0.00589096	+	0.123273i
$316$	3.35973	−	31.1920i	0.188999	−	1.75469i
$317$	−9.26670	+	5.35013i	−0.520470	+	0.300493i	−0.737127	−	0.675754i	$-0.763818\pi$
$317$	−9.26670	+	5.35013i	−0.520470	+	0.300493i	0.216657	+	0.976248i	$0.430485\pi$
$318$	8.72522	+	7.24940i	0.489286	+	0.406526i
$319$	0.0323925	+	0.0187018i	0.00181363	+	0.00104710i
$320$	−2.09430	−	0.698429i	−0.117075	−	0.0390434i
$321$	3.94569	+	2.93545i	0.220227	+	0.163841i
$322$	17.8689	−	13.7043i	0.995793	−	0.763709i
$323$	10.4287			0.580267
$324$	16.0007	−	8.24478i	0.888930	−	0.458043i
$325$	12.0801	+	20.9234i	0.670085	+	1.16062i
$326$	−0.667223	+	12.4249i	−0.0369540	+	0.688154i
$327$	1.78797	+	4.14124i	0.0988750	+	0.229011i
$328$	−3.27512	−	8.63158i	−0.180838	−	0.476599i
$329$	14.7143	−	12.5938i	0.811227	−	0.694317i
$330$	−0.961732	−	2.60293i	−0.0529416	−	0.143287i
$331$	7.03094	+	12.1779i	0.386455	+	0.669360i	0.991970	−	0.126474i	$-0.0403661\pi$
$331$	7.03094	+	12.1779i	0.386455	+	0.669360i	−0.605515	+	0.795834i	$0.707033\pi$
$332$	−19.5782	+	8.65637i	−1.07449	+	0.475080i
$333$	−24.8821	−	23.4442i	−1.36353	−	1.28473i
$334$	16.0368	+	10.4438i	0.877494	+	0.571460i
$335$	1.86670	−	3.23321i	0.101989	−	0.176649i
$336$	−6.75274	−	17.0411i	−0.368392	−	0.929670i
$337$	6.55650	+	11.3562i	0.357155	+	0.618611i	0.987484	−	0.157717i	$-0.0504133\pi$
$337$	6.55650	+	11.3562i	0.357155	+	0.618611i	−0.630329	+	0.776328i	$0.717080\pi$
$338$	0.839983	−	15.6421i	0.0456890	−	0.850816i
$339$	10.3643	−	4.47476i	0.562912	−	0.243036i
$340$	0.304257	−	2.82475i	0.0165007	−	0.153194i
$341$	0.193263	−	0.334741i	0.0104658	−	0.0181272i
$342$	8.24682	+	2.42241i	0.445937	+	0.130989i
$343$	9.72615	+	15.7608i	0.525163	+	0.851002i
$344$	22.0113	+	17.9658i	1.18677	+	0.968650i
$345$	2.85734	+	0.333024i	0.153834	+	0.0179294i
$346$	−18.1219	−	11.8017i	−0.974237	−	0.634464i
$347$	−6.97768	+	12.0857i	−0.374582	+	0.648794i	−0.990264	−	0.139200i	$-0.955547\pi$
$347$	−6.97768	+	12.0857i	−0.374582	+	0.648794i	0.615683	+	0.787994i	$0.288880\pi$
$348$	0.00933575	+	0.0301506i	0.000500449	+	0.00161624i
$349$	7.98605	−	13.8323i	0.427484	−	0.740423i	−0.569165	−	0.822223i	$-0.692733\pi$
$349$	7.98605	−	13.8323i	0.427484	−	0.740423i	0.996649	+	0.0817998i	$0.0260668\pi$
$350$	−11.2118	−	14.6190i	−0.599297	−	0.781418i
$351$	−25.1047	+	4.45214i	−1.33999	+	0.237638i
$352$	16.3144	+	16.5260i	0.869559	+	0.880839i
$353$			6.40602i			0.340958i	0.985361	+	0.170479i	$0.0545315\pi$
$353$			6.40602i			0.340958i	−0.985361	+	0.170479i	$0.945468\pi$
$354$	4.10057	−	23.9347i	0.217943	−	1.27212i
$355$			2.69601i			0.143090i
$356$	3.95441	−	1.74842i	0.209583	−	0.0926659i
$357$	19.5768	−	13.1609i	1.03611	−	0.696551i
$358$	−5.87299	−	3.82473i	−0.310397	−	0.202143i
$359$	1.88210	+	1.08663i	0.0993333	+	0.0573501i	0.548844	−	0.835925i	$-0.315068\pi$
$359$	1.88210	+	1.08663i	0.0993333	+	0.0573501i	−0.449510	+	0.893275i	$0.648402\pi$
$360$	0.896744	−	2.16309i	0.0472626	−	0.114005i
$361$	−7.44783	−	12.9000i	−0.391991	−	0.678948i
$362$	6.11626	−	3.10647i	0.321464	−	0.163272i
$363$	−1.17343	+	10.0680i	−0.0615889	+	0.528432i
$364$	1.99739	+	25.8873i	0.104692	+	1.35686i
$365$	−1.94350	+	1.12208i	−0.101728	+	0.0587325i
$366$	−3.42611	+	4.12359i	−0.179085	+	0.215543i
$367$	−17.5288			−0.914994			−0.457497	−	0.889211i	$-0.651254\pi$
$367$	−17.5288			−0.914994			−0.457497	+	0.889211i	$0.651254\pi$
$368$	−22.9336	+	7.32107i	−1.19549	+	0.381637i
$369$	9.37884	−	2.81455i	0.488243	−	0.146520i
$370$	−4.44095	−	0.238480i	−0.230874	−	0.0123980i
$371$	7.96725	+	9.30878i	0.413639	+	0.483288i
$372$	0.311574	−	0.0964749i	0.0161544	−	0.00500199i
$373$			20.2056i			1.04621i	0.852269	+	0.523104i	$0.175226\pi$
$373$			20.2056i			1.04621i	−0.852269	+	0.523104i	$0.824774\pi$
$374$	−16.3087	+	25.0425i	−0.843302	+	1.29491i
$375$	0.549126	−	4.71149i	0.0283567	−	0.243300i
$376$	−19.3584	+	7.34526i	−0.998336	+	0.378803i
$377$		−	0.0447078i		−	0.00230257i
$378$	18.5381	−	5.86009i	0.953494	−	0.301410i
$379$	3.65447			0.187718			0.0938588	−	0.995586i	$-0.470080\pi$
$379$	3.65447			0.187718			0.0938588	+	0.995586i	$0.470080\pi$
$380$	1.02265	−	0.452157i	0.0524607	−	0.0231952i
$381$	7.77375	+	0.906033i	0.398261	+	0.0464175i
$382$	13.2628	−	20.3654i	0.678583	−	1.04198i
$383$	−20.4781			−1.04638			−0.523192	−	0.852215i	$-0.675259\pi$
$383$	−20.4781			−1.04638			−0.523192	+	0.852215i	$0.675259\pi$
$384$	0.627567	+	19.5859i	0.0320254	+	0.999487i
$385$	−0.549278	−	2.94649i	−0.0279938	−	0.150167i
$386$	−0.318266	+	5.92672i	−0.0161993	+	0.301662i
$387$	−20.6662	+	21.9337i	−1.05052	+	1.11495i
$388$	−27.8113	+	12.2966i	−1.41191	+	0.624265i
$389$			27.7588i			1.40743i	0.710483	+	0.703714i	$0.248476\pi$
$389$			27.7588i			1.40743i	−0.710483	+	0.703714i	$0.751524\pi$
$390$	−2.11964	+	2.55115i	−0.107332	+	0.129182i
$391$	−15.4904	−	26.8301i	−0.783382	−	1.35686i
$392$	−4.08193	−	19.3736i	−0.206169	−	0.978516i
$393$	−13.7324	−	1.60052i	−0.692710	−	0.0807356i
$394$	12.2647	+	24.1477i	0.617887	+	1.21655i
$395$	3.74884	−	2.16439i	0.188624	−	0.108902i
$396$	−18.7136	+	16.0149i	−0.940393	+	0.804780i
$397$	−12.8116	+	22.1903i	−0.642995	+	1.11370i	0.341765	+	0.939785i	$0.388975\pi$
$397$	−12.8116	+	22.1903i	−0.642995	+	1.11370i	−0.984761	+	0.173915i	$0.944358\pi$
$398$	−5.91254	−	3.85049i	−0.296369	−	0.193008i
$399$	8.33806	+	4.08263i	0.417425	+	0.204387i
$400$	5.98956	+	18.7625i	0.299478	+	0.938127i
$401$	−25.0952			−1.25320			−0.626598	−	0.779342i	$-0.715553\pi$
$401$	−25.0952			−1.25320			−0.626598	+	0.779342i	$0.715553\pi$
$402$	−32.6626	−	5.59584i	−1.62906	−	0.279095i
$403$	−0.462007			−0.0230142
$404$	−9.97311	+	13.6527i	−0.496181	+	0.679246i
$405$	2.22093	+	1.11174i	0.110359	+	0.0552429i
$406$	0.00444155	+	0.0338013i	0.000220431	+	0.00167753i
$407$	40.5132	+	23.3903i	2.00816	+	1.15941i
$408$	−24.4551	+	6.15659i	−1.21071	+	0.304797i
$409$	12.1803	+	7.03227i	0.602275	+	0.347723i	0.769936	−	0.638121i	$-0.220288\pi$
$409$	12.1803	+	7.03227i	0.602275	+	0.347723i	−0.167661	+	0.985845i	$0.553621\pi$
$410$	0.695160	−	1.06744i	0.0343315	−	0.0527170i
$411$	−1.37544	+	11.8012i	−0.0678454	+	0.582112i
$412$	−4.12190	+	5.64266i	−0.203071	+	0.277994i
$413$	8.72968	−	24.7338i	0.429560	−	1.21707i
$414$	−6.01733	−	24.8149i	−0.295736	−	1.21959i
$415$	−2.55796	−	1.47684i	−0.125565	−	0.0724952i
$416$	7.35666	−	26.7643i	0.360690	−	1.31223i
$417$	−2.45669	−	5.69012i	−0.120305	−	0.278646i
$418$	−11.7446	−	0.630688i	−0.574447	−	0.0308480i
$419$	−22.0510	+	12.7311i	−1.07726	+	0.621957i	−0.930156	−	0.367164i	$-0.880329\pi$
$419$	−22.0510	+	12.7311i	−1.07726	+	0.621957i	−0.147105	+	0.989121i	$0.546995\pi$
$420$	1.34910	−	2.13937i	0.0658294	−	0.104391i
$421$	−3.97825	−	2.29684i	−0.193888	−	0.111941i	0.399913	−	0.916553i	$-0.369040\pi$
$421$	−3.97825	−	2.29684i	−0.193888	−	0.111941i	−0.593801	+	0.804612i	$0.702373\pi$
$422$	−21.2460	−	13.8363i	−1.03424	−	0.673539i
$423$	−6.31233	−	21.0344i	−0.306916	−	1.02273i
$424$	−4.64686	−	12.2468i	−0.225672	−	0.594758i
$425$	−21.9504	+	12.6731i	−1.06475	+	0.614734i
$426$	22.4472	−	8.29382i	1.08757	−	0.401837i
$427$	−4.39938	+	3.76536i	−0.212901	+	0.182219i
$428$	−2.29634	−	5.19365i	−0.110998	−	0.251044i
$429$	32.0308	−	13.8292i	1.54646	−	0.667681i
$430$	−0.210222	+	3.91472i	−0.0101378	+	0.188785i
$431$	30.8514	−	17.8120i	1.48606	−	0.857976i	0.486184	−	0.873857i	$-0.338389\pi$
$431$	30.8514	−	17.8120i	1.48606	−	0.857976i	0.999874	+	0.0158808i	$0.00505521\pi$
$432$	−20.7687	−	0.811988i	−0.999237	−	0.0390668i
$433$			7.91753i			0.380492i	0.981736	+	0.190246i	$0.0609286\pi$
$433$			7.91753i			0.380492i	−0.981736	+	0.190246i	$0.939071\pi$
$434$	0.349300	−	0.0458986i	0.0167669	−	0.00220321i
$435$	−0.00259952	+	0.00349415i	−0.000124637	+	0.000167532i
$436$	0.557792	−	5.17859i	0.0267134	−	0.248010i
$437$	6.09643	−	10.5593i	0.291632	−	0.505121i
$438$	15.3214	+	12.7299i	0.732085	+	0.608257i
$439$	−7.60121	−	13.1657i	−0.362786	−	0.628364i	0.625632	−	0.780118i	$-0.284841\pi$
$439$	−7.60121	−	13.1657i	−0.362786	−	0.628364i	−0.988418	+	0.151754i	$0.951508\pi$
$440$	−0.513480	+	3.16279i	−0.0244792	+	0.150780i
$441$	20.8045	−	2.85866i	0.990691	−	0.136126i
$442$	35.6693	+	1.91545i	1.69661	+	0.0911086i
$443$	−8.19173	−	14.1885i	−0.389201	−	0.674116i	0.603141	−	0.797634i	$-0.293916\pi$
$443$	−8.19173	−	14.1885i	−0.389201	−	0.674116i	−0.992342	+	0.123518i	$0.960582\pi$
$444$	11.6762	+	37.7093i	0.554128	+	1.78961i
$445$	0.516658	+	0.298293i	0.0244919	+	0.0141404i
$446$	1.23707	−	23.0366i	0.0585771	−	1.09082i
$447$	−4.04474	−	0.471416i	−0.191310	−	0.0222972i
$448$	−2.90306	+	20.9660i	−0.137156	+	0.990549i
$449$	−23.0294			−1.08682			−0.543411	−	0.839467i	$-0.682868\pi$
$449$	−23.0294			−1.08682			−0.543411	+	0.839467i	$0.682868\pi$
$450$	−20.3018	+	4.92294i	−0.957034	+	0.232069i
$451$	−11.6041	+	6.69961i	−0.546414	+	0.315472i
$452$	−12.9605	−	1.39599i	−0.609610	−	0.0656618i
$453$	12.0701	+	1.40678i	0.567105	+	0.0660963i
$454$	−11.1417	−	21.9366i	−0.522904	−	1.02953i
$455$	−2.72177	+	2.32953i	−0.127599	+	0.109210i
$456$	−6.91069	−	7.12366i	−0.323623	−	0.333596i
$457$	4.29702	+	7.44266i	0.201006	+	0.348153i	0.948853	−	0.315719i	$-0.102246\pi$
$457$	4.29702	+	7.44266i	0.201006	+	0.348153i	−0.747847	+	0.663871i	$0.768912\pi$
$458$	−18.9379	+	9.61863i	−0.884911	+	0.449449i
$459$	−4.67067	−	26.3369i	−0.218008	−	1.22930i
$460$	−2.68228	−	1.95937i	−0.125062	−	0.0913562i
$461$	16.2439	−	28.1352i	0.756553	−	1.31039i	−0.188046	−	0.982160i	$-0.560215\pi$
$461$	16.2439	−	28.1352i	0.756553	−	1.31039i	0.944599	−	0.328227i	$-0.106451\pi$
$462$	−22.8430	+	13.6377i	−1.06275	+	0.634483i
$463$	10.9453	−	6.31927i	0.508671	−	0.293681i	−0.223616	−	0.974677i	$-0.571786\pi$
$463$	10.9453	−	6.31927i	0.508671	−	0.293681i	0.732287	+	0.680996i	$0.238453\pi$
$464$	0.00776117	−	0.0356097i	0.000360303	−	0.00165314i
$465$	0.0361083	+	0.0268632i	0.00167448	+	0.00124575i
$466$	−0.479987	+	8.93826i	−0.0222350	+	0.414057i
$467$	−4.12855	−	2.38362i	−0.191047	−	0.110301i	0.401426	−	0.915892i	$-0.368515\pi$
$467$	−4.12855	−	2.38362i	−0.191047	−	0.110301i	−0.592472	+	0.805591i	$0.701848\pi$
$468$	27.7617	+	9.80009i	1.28329	+	0.453009i
$469$	−33.7530	−	11.9130i	−1.55857	−	0.550090i
$470$	−2.39399	−	1.55907i	−0.110427	−	0.0719144i
$471$	5.58486	+	4.15493i	0.257337	+	0.191449i
$472$	−17.7303	+	21.7229i	−0.816105	+	0.999876i
$473$	20.6187	−	35.7126i	0.948048	−	1.64207i
$474$	−29.5535	−	24.5547i	−1.35744	−	1.12784i
$475$	−8.63887	−	4.98765i	−0.396378	−	0.228849i
$476$	−27.1580	+	2.09544i	−1.24478	+	0.0960441i
$477$	13.3071	−	3.99340i	0.609288	−	0.182845i
$478$	4.73909	−	7.27701i	0.216761	−	0.332843i
$479$	1.00639			0.0459832			0.0229916	−	0.999736i	$-0.492681\pi$
$479$	1.00639			0.0459832			0.0229916	+	0.999736i	$0.492681\pi$
$480$	−2.13116	+	1.66402i	−0.0972738	+	0.0759519i
$481$		−	55.9160i		−	2.54955i
$482$	−8.86672	−	17.4575i	−0.403868	−	0.795167i
$483$	−1.88157	−	27.5157i	−0.0856142	−	1.25201i
$484$	6.90394	−	9.45112i	0.313815	−	0.429597i
$485$	−3.63365	−	2.09789i	−0.164995	−	0.0952601i
$486$	2.42415	−	21.9117i	0.109962	−	0.993936i
$487$	14.7320	−	8.50551i	0.667569	−	0.385421i	−0.127586	−	0.991828i	$-0.540723\pi$
$487$	14.7320	−	8.50551i	0.667569	−	0.385421i	0.795155	+	0.606406i	$0.207389\pi$
$488$	5.78791	−	2.19613i	0.262006	−	0.0994142i
$489$	12.2268	+	9.09627i	0.552915	+	0.411348i
$490$	1.82636	−	2.03163i	0.0825067	−	0.0917798i
$491$	10.6757	+	18.4908i	0.481786	+	0.834478i	0.999781	−	0.0209052i	$-0.00665482\pi$
$491$	10.6757	+	18.4908i	0.481786	+	0.834478i	−0.517995	+	0.855384i	$0.673321\pi$
$492$	−11.0261	−	2.50417i	−0.497095	−	0.112897i
$493$	0.0469023			0.00211237
$494$	6.36620	+	12.5343i	0.286429	+	0.563944i
$495$	−3.30747	−	0.781591i	−0.148660	−	0.0351299i
$496$	−0.367988	−	0.0802033i	−0.0165232	−	0.00360124i
$497$	25.4101	−	4.73688i	1.13980	−	0.212478i
$498$	−4.42715	+	25.8410i	−0.198386	+	1.15796i
$499$	8.10181			0.362687			0.181343	−	0.983420i	$-0.441955\pi$
$499$	8.10181			0.362687			0.181343	+	0.983420i	$0.441955\pi$
$500$	−3.23082	+	4.42282i	−0.144487	+	0.197795i
$501$	21.5188	−	9.29070i	0.961391	−	0.415078i
$502$	−6.11169	−	12.0332i	−0.272778	−	0.537067i
$503$	27.7543			1.23750			0.618751	−	0.785587i	$-0.287639\pi$
$503$	27.7543			1.23750			0.618751	+	0.785587i	$0.287639\pi$
$504$	−21.9628	−	4.65132i	−0.978302	−	0.207186i
$505$	−2.33288			−0.103812
$506$	15.8224	+	31.1524i	0.703392	+	1.38489i
$507$	−15.3926	−	11.4515i	−0.683610	−	0.508580i
$508$	−7.29746	−	5.33071i	−0.323772	−	0.236512i
$509$	−21.2702			−0.942785			−0.471393	−	0.881923i	$-0.656249\pi$
$509$	−21.2702			−0.942785			−0.471393	+	0.881923i	$0.656249\pi$
$510$	−2.67637	−	2.22368i	−0.118512	−	0.0984661i
$511$	13.9904	+	16.3461i	0.618899	+	0.723110i
$512$	10.5058	−	20.0407i	0.464295	−	0.885681i
$513$	8.05746	−	6.77455i	0.355746	−	0.299104i
$514$	14.3505	+	28.2543i	0.632972	+	1.24625i
$515$	−0.964183			−0.0424870
$516$	33.2410	−	10.2926i	1.46335	−	0.453108i
$517$	15.0255	+	26.0250i	0.660822	+	1.14458i
$518$	5.55504	+	42.2752i	0.244075	+	1.85747i
$519$	−24.3167	+	10.4987i	−1.06738	+	0.460840i
$520$	3.58082	−	1.35869i	0.157029	−	0.0595823i
$521$	−9.55936	+	5.51910i	−0.418803	+	0.241796i	−0.694565	−	0.719430i	$-0.744403\pi$
$521$	−9.55936	+	5.51910i	−0.418803	+	0.241796i	0.275762	+	0.961226i	$0.411070\pi$
$522$	0.0370895	+	0.0108946i	0.00162336	+	0.000476845i
$523$	−11.6969	−	6.75323i	−0.511471	−	0.295298i	0.221967	−	0.975054i	$-0.428752\pi$
$523$	−11.6969	−	6.75323i	−0.511471	−	0.295298i	−0.733438	+	0.679756i	$0.762086\pi$
$524$	12.8911	+	9.41677i	0.563149	+	0.411374i
$525$	−22.5113	+	1.53936i	−0.982475	+	0.0671831i
$526$	−12.2302	−	24.0798i	−0.533262	−	1.04993i
$527$		−	0.484684i		−	0.0211132i
$528$	27.9132	−	5.45449i	1.21477	−	0.237376i
$529$	−13.2217			−0.574855
$530$	0.986319	−	1.51452i	0.0428430	−	0.0657866i
$531$	−21.6463	−	20.3953i	−0.939367	−	0.885082i
$532$	−6.05839	−	8.84406i	−0.262664	−	0.383439i
$533$	13.8701	+	8.00792i	0.600782	+	0.346861i
$534$	0.894199	−	5.21938i	0.0386958	−	0.225865i
$535$	0.391772	−	0.678569i	0.0169378	−	0.0293371i
$536$	29.6441	+	24.1957i	1.28043	+	1.04510i
$537$	−7.88063	+	3.40244i	−0.340074	+	0.146826i
$538$	−28.9623	−	18.8614i	−1.24865	−	0.813174i
$539$	−26.8058	+	10.3539i	−1.15461	+	0.445976i
$540$	−1.59990	−	2.38012i	−0.0688489	−	0.102424i
$541$	1.45908	+	0.842402i	0.0627309	+	0.0362177i	0.531037	−	0.847348i	$-0.321802\pi$
$541$	1.45908	+	0.842402i	0.0627309	+	0.0362177i	−0.468307	+	0.883566i	$0.655136\pi$
$542$	−0.780214	+	14.5291i	−0.0335130	+	0.624076i
$543$	0.972635	−	8.34519i	0.0417398	−	0.358126i
$544$	28.0780	+	7.71776i	1.20384	+	0.330896i
$545$	0.622393	−	0.359339i	0.0266604	−	0.0153924i
$546$	27.7689	+	15.4953i	1.18840	+	0.663138i
$547$	−1.36277	+	2.36039i	−0.0582680	+	0.100923i	−0.893688	−	0.448689i	$-0.851891\pi$
$547$	−1.36277	+	2.36039i	−0.0582680	+	0.100923i	0.835420	+	0.549612i	$0.185224\pi$
$548$	8.09249	−	11.0782i	0.345694	−	0.473237i
$549$	1.88730	+	6.28898i	0.0805480	+	0.268407i
$550$	25.4866	−	12.9447i	1.08675	−	0.551965i
$551$	0.00922950	+	0.0159860i	0.000393190	+	0.000681025i
$552$	−8.06232	+	28.3605i	−0.343155	+	1.20710i
$553$	−26.9862	−	31.5301i	−1.14757	−	1.34080i
$554$	−6.72283	−	13.2365i	−0.285626	−	0.562363i
$555$	−3.25121	+	4.37013i	−0.138006	+	0.185502i
$556$	−0.766413	+	7.11545i	−0.0325032	+	0.301762i
$557$	4.11555	−	2.37612i	0.174382	−	0.100679i	−0.410269	−	0.911965i	$-0.634565\pi$
$557$	4.11555	−	2.37612i	0.174382	−	0.100679i	0.584650	+	0.811285i	$0.301232\pi$
$558$	0.112584	−	0.383280i	0.00476607	−	0.0162255i
$559$	−49.2903			−2.08476
$560$	−2.57229	+	1.38297i	−0.108699	+	0.0584412i
$561$	14.5080	+	33.6030i	0.612529	+	1.41872i
$562$	−2.21079	+	41.1691i	−0.0932566	+	1.73661i
$563$	18.6306	+	10.7564i	0.785188	+	0.453328i	0.838266	−	0.545262i	$-0.183570\pi$
$563$	18.6306	+	10.7564i	0.785188	+	0.453328i	−0.0530780	+	0.998590i	$0.516903\pi$
$564$	−5.61621	+	24.7288i	−0.236485	+	1.04127i
$565$	−0.899319	−	1.55767i	−0.0378346	−	0.0655315i
$566$	−31.0327	−	1.66646i	−1.30440	−	0.0700466i
$567$	6.57606	−	22.8857i	0.276169	−	0.961109i
$568$	−27.2753	−	4.42816i	−1.14445	−	0.185802i
$569$	−5.52663	−	9.57240i	−0.231688	−	0.401296i	0.726617	−	0.687043i	$-0.241092\pi$
$569$	−5.52663	−	9.57240i	−0.231688	−	0.401296i	−0.958305	+	0.285747i	$0.907758\pi$
$570$	0.231248	−	1.34978i	0.00968592	−	0.0565361i
$571$	−16.7405	+	28.9954i	−0.700569	+	1.21342i	0.267699	+	0.963503i	$0.413737\pi$
$571$	−16.7405	+	28.9954i	−0.700569	+	1.21342i	−0.968267	+	0.249918i	$0.919596\pi$
$572$	−40.0543	−	4.31429i	−1.67475	−	0.180390i
$573$	−11.7984	−	27.3272i	−0.492886	−	1.14161i
$574$	−11.2820	−	4.67643i	−0.470903	−	0.195190i
$575$			29.6339i			1.23582i
$576$	20.4109	+	12.6251i	0.850455	+	0.526047i
$577$	25.3990	−	14.6641i	1.05737	−	0.610475i	0.132670	−	0.991160i	$-0.457645\pi$
$577$	25.3990	−	14.6641i	1.05737	−	0.610475i	0.924705	+	0.380685i	$0.124312\pi$
$578$	−0.720284	+	13.4131i	−0.0299599	+	0.557910i
$579$	5.83220	+	4.33894i	0.242378	+	0.180320i
$580$	0.00459929	−	0.00203355i	0.000190975	−	8.44384e-5i
$581$	−9.42495	+	26.7037i	−0.391013	+	1.10786i
$582$	−6.28888	+	36.7078i	−0.260683	+	1.52159i
$583$	−16.4643	+	9.50566i	−0.681881	+	0.393684i
$584$	−8.15984	−	21.5053i	−0.337657	−	0.889895i
$585$	1.16762	+	3.89082i	0.0482752	+	0.160866i
$586$	−12.0600	−	7.85397i	−0.498194	−	0.324444i
$587$	12.6690	+	7.31446i	0.522906	+	0.301900i	0.738123	−	0.674666i	$-0.235712\pi$
$587$	12.6690	+	7.31446i	0.522906	+	0.301900i	−0.215217	+	0.976566i	$0.569046\pi$
$588$	−22.5340	−	8.95647i	−0.929287	−	0.369359i
$589$	0.165198	−	0.0953769i	0.00680685	−	0.00392994i
$590$	−3.86342	−	0.207467i	−0.159055	−	0.00854127i
$591$	32.9478	+	3.84008i	1.35529	+	0.157960i
$592$	9.70688	−	44.5370i	0.398950	−	1.83046i
$593$	4.32036	+	2.49436i	0.177416	+	0.102431i	0.586078	−	0.810255i	$-0.300671\pi$
$593$	4.32036	+	2.49436i	0.177416	+	0.102431i	−0.408662	+	0.912686i	$0.634005\pi$
$594$	3.66727	+	29.9427i	0.150470	+	1.22856i
$595$	−2.44387	−	2.85537i	−0.100189	−	0.117059i
$596$	3.79692	+	2.77361i	0.155528	+	0.113611i
$597$	−7.93370	+	3.42535i	−0.324705	+	0.140190i
$598$	22.7911	−	34.9964i	0.931998	−	1.43111i
$599$	20.2484	+	11.6904i	0.827326	+	0.477657i	0.852936	−	0.522015i	$-0.174819\pi$
$599$	20.2484	+	11.6904i	0.827326	+	0.477657i	−0.0256099	+	0.999672i	$0.508153\pi$
$600$	23.2025	+	6.59600i	0.947237	+	0.269280i
$601$	16.5489	+	9.55453i	0.675045	+	0.389737i	0.797985	−	0.602677i	$-0.205899\pi$
$601$	16.5489	+	9.55453i	0.675045	+	0.389737i	−0.122941	+	0.992414i	$0.539232\pi$
$602$	37.2658	−	4.89680i	1.51884	−	0.199579i
$603$	−27.8325	+	29.5396i	−1.13343	+	1.20294i
$604$	−11.3306	−	8.27689i	−0.461037	−	0.336782i
$605$	1.61495			0.0656570
$606$	7.17671	+	19.4238i	0.291534	+	0.789036i
$607$	47.4780			1.92707			0.963535	−	0.267581i	$-0.0862243\pi$
$607$	47.4780			1.92707			0.963535	+	0.267581i	$0.0862243\pi$
$608$	2.89475	+	11.0887i	0.117398	+	0.449706i
$609$	0.0374999	+	0.0183614i	0.00151957	+	0.000744040i
$610$	0.715771	+	0.466140i	0.0289807	+	0.0188734i
$611$	17.9597	−	31.1072i	0.726573	−	1.25846i
$612$	−10.2811	+	29.1244i	−0.415590	+	1.17728i
$613$	16.7509	−	9.67116i	0.676564	−	0.390615i	−0.121995	−	0.992531i	$-0.538929\pi$
$613$	16.7509	−	9.67116i	0.676564	−	0.390615i	0.798559	+	0.601916i	$0.205596\pi$
$614$	−15.4918	−	30.5015i	−0.625197	−	1.23094i
$615$	−0.618406	−	1.43233i	−0.0249365	−	0.0577573i
$616$	30.7116	−	0.717429i	1.23741	−	0.0289061i
$617$	8.86419	+	15.3532i	0.356859	+	0.618098i	0.987434	−	0.158030i	$-0.0505144\pi$
$617$	8.86419	+	15.3532i	0.356859	+	0.618098i	−0.630575	+	0.776128i	$0.717181\pi$
$618$	2.96614	+	8.02786i	0.119316	+	0.322928i
$619$		−	15.2302i		−	0.612155i	−0.952007	−	0.306078i	$-0.900983\pi$
$619$		−	15.2302i		−	0.612155i	0.952007	−	0.306078i	$-0.0990167\pi$
$620$	−0.0210145	−	0.0475287i	−0.000843963	−	0.00190880i
$621$	−29.3973	−	10.6670i	−1.17967	−	0.428050i
$622$	−0.183887	+	3.42432i	−0.00737320	+	0.137303i
$623$	1.90366	−	5.39362i	0.0762684	−	0.216091i
$624$	−22.3283	−	25.6344i	−0.893846	−	1.02620i
$625$	23.8635			0.954539
$626$	25.8282	−	39.6600i	1.03230	−	1.58513i
$627$	−8.59820	+	11.5573i	−0.343379	+	0.461554i
$628$	−3.25031	−	7.35126i	−0.129702	−	0.293347i
$629$	58.6606			2.33895
$630$	−1.26932	−	2.82565i	−0.0505707	−	0.112577i
$631$			11.4141i			0.454387i	0.973850	+	0.227194i	$0.0729550\pi$
$631$			11.4141i			0.454387i	−0.973850	+	0.227194i	$0.927045\pi$
$632$	15.7396	+	41.4817i	0.626086	+	1.65005i
$633$	−28.5088	+	12.3086i	−1.13312	+	0.489223i
$634$	8.25808	−	12.6805i	0.327970	−	0.503608i
$635$		−	1.24694i		−	0.0494835i
$636$	−15.6443	−	3.55301i	−0.620335	−	0.140886i
$637$	26.7380	+	21.5599i	1.05940	+	0.854233i
$638$	−0.0528206	−	0.00283648i	−0.00209119	−	0.000112297i
$639$	6.74031	−	28.5231i	0.266642	−	1.12836i
$640$	3.08798	−	0.460570i	0.122063	−	0.0182056i
$641$	23.8024			0.940137			0.470068	−	0.882630i	$-0.344229\pi$
$641$	23.8024			0.940137			0.470068	+	0.882630i	$0.344229\pi$
$642$	−6.85503	−	1.17442i	−0.270546	−	0.0463508i
$643$	−5.94344	+	3.43145i	−0.234386	+	0.135323i	−0.612594	−	0.790398i	$-0.709874\pi$
$643$	−5.94344	+	3.43145i	−0.234386	+	0.135323i	0.378208	+	0.925721i	$0.376541\pi$
$644$	−13.7544	+	28.7232i	−0.542000	+	1.13185i
$645$	3.85229	+	2.86596i	0.151684	+	0.112847i
$646$	−13.1495	+	6.67868i	−0.517361	+	0.262769i
$647$	−13.6767	−	23.6887i	−0.537687	−	0.931301i	−0.999028	−	0.0440779i	$-0.985965\pi$
$647$	−13.6767	−	23.6887i	−0.537687	−	0.931301i	0.461341	−	0.887223i	$-0.347368\pi$
$648$	−14.8953	+	20.6430i	−0.585141	+	0.810932i
$649$	35.2446	+	20.3485i	1.38347	+	0.798748i
$650$	−28.6315	−	18.6460i	−1.12302	−	0.731357i
$651$	0.189745	−	0.387521i	0.00743668	−	0.0151881i
$652$	−7.11582	−	16.0939i	−0.278677	−	0.630286i
$653$			4.25358i			0.166455i	0.996531	+	0.0832277i	$0.0265229\pi$
$653$			4.25358i			0.166455i	−0.996531	+	0.0832277i	$0.973477\pi$
$654$	−4.90656	−	4.07665i	−0.191862	−	0.159410i
$655$			2.20275i			0.0860684i
$656$	9.65739	+	8.78612i	0.377058	+	0.343040i
$657$	23.3671	−	7.01236i	0.911636	−	0.273578i
$658$	−10.4881	+	25.3028i	−0.408867	+	0.986405i
$659$	15.5543	−	26.9408i	0.605909	−	1.04946i	−0.385998	−	0.922500i	$-0.626143\pi$
$659$	15.5543	−	26.9408i	0.605909	−	1.04946i	0.991907	−	0.126965i	$-0.0405237\pi$
$660$	2.87960	+	2.66613i	0.112088	+	0.103779i
$661$	17.4715	−	30.2616i	0.679565	−	1.17704i	−0.295548	−	0.955328i	$-0.595502\pi$
$661$	17.4715	−	30.2616i	0.679565	−	1.17704i	0.975112	−	0.221712i	$-0.0711646\pi$
$662$	−16.6642	−	10.8524i	−0.647674	−	0.421792i
$663$	26.1134	−	35.1004i	1.01416	−	1.36319i
$664$	19.1425	−	23.4530i	0.742872	−	0.910152i
$665$	0.492303	−	1.39484i	0.0190907	−	0.0540896i
$666$	46.3878	+	13.6259i	1.79749	+	0.527992i
$667$	0.0274183	−	0.0474899i	0.00106164	−	0.00183882i
$668$	−26.9092	−	2.89841i	−1.04115	−	0.112143i
$669$	−22.6693	−	16.8651i	−0.876444	−	0.652041i
$670$	−0.283120	+	5.27222i	−0.0109379	+	0.203684i
$671$	−4.49243	−	7.78111i	−0.173428	−	0.300386i
$672$	19.4279	+	17.1626i	0.749449	+	0.662062i
$673$	−10.5946	+	18.3504i	−0.408392	+	0.707355i	−0.994710	−	0.102726i	$-0.967244\pi$
$673$	−10.5946	+	18.3504i	−0.408392	+	0.707355i	0.586318	+	0.810081i	$0.300577\pi$
$674$	−15.5398	−	10.1201i	−0.598570	−	0.389813i
$675$	−8.72691	+	24.0507i	−0.335899	+	0.925712i
$676$	8.95828	+	20.2610i	0.344549	+	0.779270i
$677$	−0.340993	−	0.590618i	−0.0131054	−	0.0226993i	0.859398	−	0.511307i	$-0.170838\pi$
$677$	−0.340993	−	0.590618i	−0.0131054	−	0.0226993i	−0.872504	+	0.488607i	$0.837505\pi$
$678$	−10.2026	+	12.2797i	−0.391830	+	0.471598i
$679$	−13.3884	+	37.9333i	−0.513799	+	1.45574i
$680$	1.42538	+	3.75658i	0.0546607	+	0.144058i
$681$	−29.9309	−	3.48845i	−1.14695	−	0.133678i
$682$	−0.0293119	+	0.545843i	−0.00112241	+	0.0209014i
$683$	3.62314	+	6.27546i	0.138635	+	0.240124i	0.926980	−	0.375110i	$-0.122395\pi$
$683$	3.62314	+	6.27546i	0.138635	+	0.240124i	−0.788345	+	0.615234i	$0.789062\pi$
$684$	−11.9498	+	2.22697i	−0.456911	+	0.0851504i
$685$	1.89297			0.0723268
$686$	−22.3571	−	13.6440i	−0.853599	−	0.520930i
$687$	−3.01159	+	25.8394i	−0.114899	+	0.985834i
$688$	−39.2596	−	8.55667i	−1.49676	−	0.326220i
$689$	19.6795	+	11.3619i	0.749728	+	0.432856i
$690$	−3.81610	+	1.40997i	−0.145276	+	0.0536768i
$691$	28.9887	−	16.7366i	1.10278	−	0.636691i	0.165831	−	0.986154i	$-0.446969\pi$
$691$	28.9887	−	16.7366i	1.10278	−	0.636691i	0.936950	+	0.349463i	$0.113636\pi$
$692$	30.4078	+	3.27526i	1.15593	+	0.124507i
$693$	−1.55532	+	32.5463i	−0.0590818	+	1.23633i
$694$	1.05830	−	19.7075i	0.0401724	−	0.748085i
$695$	−0.855176	+	0.493736i	−0.0324387	+	0.0187285i
$696$	−0.0310804	−	0.0320382i	−0.00117810	−	0.00121440i
$697$	−8.40098	+	14.5509i	−0.318210	+	0.551156i
$698$	−1.21123	+	22.5555i	−0.0458459	+	0.853737i
$699$	8.79572	+	6.54368i	0.332685	+	0.247505i
$700$	23.4992	+	11.2529i	0.888186	+	0.425318i
$701$		−	17.8000i		−	0.672298i	−0.941809	−	0.336149i	$-0.890875\pi$
$701$		−	17.8000i		−	0.672298i	0.941809	−	0.336149i	$-0.109125\pi$
$702$	28.8033	−	21.6911i	1.08711	−	0.818679i
$703$	11.5433	+	19.9936i	0.435364	+	0.754073i
$704$	−31.1543	−	10.3897i	−1.17417	−	0.391575i
$705$	−3.21236	+	1.38693i	−0.120985	+	0.0522348i
$706$	−4.10251	−	8.07735i	−0.154400	−	0.303995i
$707$	4.09886	+	21.9875i	0.154154	+	0.826926i
$708$	10.1578	+	32.8054i	0.381752	+	1.23290i
$709$	−16.1783	+	9.34054i	−0.607589	+	0.350791i	−0.772021	−	0.635597i	$-0.780754\pi$
$709$	−16.1783	+	9.34054i	−0.607589	+	0.350791i	0.164432	+	0.986388i	$0.447421\pi$
$710$	−1.72657	−	3.39940i	−0.0647969	−	0.127577i
$711$	−45.0728	+	13.5262i	−1.69036	+	0.507272i
$712$	−3.86640	+	4.73704i	−0.144900	+	0.177528i
$713$	−0.490757	−	0.283338i	−0.0183790	−	0.0106111i
$714$	−16.2559	+	29.1319i	−0.608362	+	1.09023i
$715$	−2.77934	−	4.81396i	−0.103941	−	0.180032i
$716$	9.85467	+	1.06146i	0.368286	+	0.0396685i
$717$	−4.21584	−	9.76460i	−0.157444	−	0.364666i
$718$	−3.06903	−	0.164808i	−0.114535	−	0.00615057i
$719$	22.9903	−	39.8204i	0.857394	−	1.48505i	−0.0170127	−	0.999855i	$-0.505416\pi$
$719$	22.9903	−	39.8204i	0.857394	−	1.48505i	0.874406	−	0.485194i	$-0.161251\pi$
$720$	0.254571	+	3.30173i	0.00948732	+	0.123048i
$721$	1.69406	+	9.08747i	0.0630902	+	0.338435i
$722$	17.6523	+	11.4959i	0.656952	+	0.427834i
$723$	−23.8195	−	2.77617i	−0.885856	−	0.103247i
$724$	−5.72257	+	7.83389i	−0.212678	+	0.291144i
$725$	−0.0388527	−	0.0224316i	−0.00144295	−	0.000833090i
$726$	−4.96811	−	13.4462i	−0.184384	−	0.499035i
$727$	2.72623	−	4.72197i	0.101110	−	0.175128i	−0.811032	−	0.585002i	$-0.801094\pi$
$727$	2.72623	−	4.72197i	0.101110	−	0.175128i	0.912142	+	0.409873i	$0.134427\pi$
$728$	−19.0971	−	31.3622i	−0.707787	−	1.16236i
$729$	−20.7174	−	17.3145i	−0.767310	−	0.641277i
$730$	1.73197	−	2.65948i	0.0641029	−	0.0984319i
$731$		−	51.7096i		−	1.91255i
$732$	1.67917	−	7.39356i	0.0620639	−	0.273274i
$733$	−45.7431			−1.68956			−0.844779	−	0.535115i	$-0.820268\pi$
$733$	−45.7431			−1.68956			−0.844779	+	0.535115i	$0.820268\pi$
$734$	22.1020	−	11.2257i	0.815800	−	0.414347i
$735$	−0.836129	−	3.23969i	−0.0308411	−	0.119498i
$736$	24.2284	−	23.9181i	0.893071	−	0.881634i
$737$	27.7686	−	48.0966i	1.02287	−	1.77166i
$738$	−10.0233	+	9.55522i	−0.368963	+	0.351732i
$739$	1.73319	+	3.00197i	0.0637563	+	0.110429i	0.896142	−	0.443768i	$-0.146359\pi$
$739$	1.73319	+	3.00197i	0.0637563	+	0.110429i	−0.832385	+	0.554197i	$0.813025\pi$
$740$	5.75232	−	2.54335i	0.211460	−	0.0934955i
$741$	17.1021	+	1.99326i	0.628262	+	0.0732241i
$742$	−16.0074	−	6.63510i	−0.587650	−	0.243582i
$743$	−27.6269	+	15.9504i	−1.01353	+	0.585164i	−0.912224	−	0.409691i	$-0.865637\pi$
$743$	−27.6269	+	15.9504i	−1.01353	+	0.585164i	−0.101310	+	0.994855i	$0.532303\pi$
$744$	−0.331080	+	0.321182i	−0.0121380	+	0.0117751i
$745$			0.648795i			0.0237700i
$746$	−12.9400	−	25.4773i	−0.473767	−	0.932790i
$747$	23.3702	+	22.0197i	0.855072	+	0.805658i
$748$	4.52606	−	42.0204i	0.165489	−	1.53642i
$749$	−7.08388	−	2.50023i	−0.258839	−	0.0913562i
$750$	2.32492	+	6.29239i	0.0848939	+	0.229765i
$751$			41.5182i			1.51502i	0.652823	+	0.757510i	$0.273584\pi$
$751$			41.5182i			1.51502i	−0.652823	+	0.757510i	$0.726416\pi$
$752$	19.7051	−	21.6591i	0.718569	−	0.789825i
$753$	−16.4184	−	1.91357i	−0.598320	−	0.0697344i
$754$	0.0286316	+	0.0563721i	0.00104270	+	0.00205295i
$755$		−	1.93611i		−	0.0704621i
$756$	−19.6217	+	19.2610i	−0.713636	+	0.700517i
$757$		−	38.4629i		−	1.39796i	−0.715142	−	0.698979i	$-0.753638\pi$
$757$		−	38.4629i		−	1.39796i	0.715142	−	0.698979i	$-0.246362\pi$
$758$	−4.60792	+	2.34038i	−0.167367	+	0.0850064i
$759$	42.5052	+	4.95399i	1.54284	+	0.179819i
$760$	−0.999888	+	1.22504i	−0.0362698	+	0.0444370i
$761$			25.3032i			0.917240i	0.888633	+	0.458620i	$0.151656\pi$
$761$			25.3032i			0.917240i	−0.888633	+	0.458620i	$0.848344\pi$
$762$	−10.3822	+	3.83601i	−0.376106	+	0.138964i
$763$	−4.48033	−	5.23473i	−0.162199	−	0.189510i
$764$	−3.68075	+	34.1724i	−0.133165	+	1.23631i
$765$	−4.08180	+	1.22493i	−0.147578	+	0.0442875i
$766$	25.8209	−	13.1145i	0.932946	−	0.473846i
$767$		−	48.6443i		−	1.75644i
$768$	−13.3344	−	24.2939i	−0.481163	−	0.876631i
$769$	−37.0339	+	21.3815i	−1.33548	+	0.771038i	−0.986133	−	0.165956i	$-0.946929\pi$
$769$	−37.0339	+	21.3815i	−1.33548	+	0.771038i	−0.349344	+	0.936994i	$0.613596\pi$
$770$	2.57956	+	3.36347i	0.0929610	+	0.121211i
$771$	38.5510	+	4.49313i	1.38838	+	0.161816i
$772$	−3.39426	−	7.67683i	−0.122162	−	0.276295i
$773$	20.3165	+	35.1891i	0.730732	+	1.26567i	0.956571	+	0.291501i	$0.0941546\pi$
$773$	20.3165	+	35.1891i	0.730732	+	1.26567i	−0.225838	+	0.974165i	$0.572512\pi$
$774$	12.0113	−	40.8911i	0.431737	−	1.46980i
$775$	−0.231807	+	0.401501i	−0.00832674	+	0.0144223i
$776$	27.1924	−	33.3155i	0.976149	−	1.19596i
$777$	46.9010	+	22.9645i	1.68257	+	0.823847i
$778$	−17.7772	−	35.0011i	−0.637342	−	1.25485i
$779$	−6.61263			−0.236922
$780$	1.03886	−	4.57419i	0.0371970	−	0.163782i
$781$			40.1053i			1.43508i
$782$	36.7142	+	23.9098i	1.31290	+	0.855013i
$783$	0.0362379	−	0.0304681i	0.00129504	−	0.00108884i
$784$	17.5541	+	21.8141i	0.626931	+	0.779074i
$785$	0.554527	−	0.960468i	0.0197919	−	0.0342806i
$786$	18.3402	−	6.77636i	0.654174	−	0.241705i
$787$	−5.15962	−	2.97891i	−0.183920	−	0.106187i	0.405213	−	0.914222i	$-0.367197\pi$
$787$	−5.15962	−	2.97891i	−0.183920	−	0.106187i	−0.589133	+	0.808036i	$0.700531\pi$
$788$	−30.9291	−	22.5934i	−1.10181	−	0.804856i
$789$	−32.8551	−	3.82927i	−1.16967	−	0.136326i
$790$	−3.34080	+	5.12989i	−0.118860	+	0.182513i
$791$	−13.1010	+	11.2129i	−0.465817	+	0.398686i
$792$	13.3398	−	32.1777i	0.474008	−	1.14338i
$793$	−5.36971	+	9.30062i	−0.190684	+	0.330275i
$794$	1.94312	−	36.1845i	0.0689587	−	1.28414i
$795$	−0.877419	−	2.03225i	−0.0311188	−	0.0720765i
$796$	9.92104	+	1.06861i	0.351642	+	0.0378757i
$797$	−11.3030	−	19.5775i	−0.400375	−	0.693469i	0.593396	−	0.804910i	$-0.297787\pi$
$797$	−11.3030	−	19.5775i	−0.400375	−	0.693469i	−0.993771	+	0.111441i	$0.964453\pi$
$798$	−13.1280	+	0.192031i	−0.464728	+	0.00679782i
$799$	32.6341	+	18.8413i	1.15451	+	0.666557i
$800$	−19.5681	−	19.8219i	−0.691835	−	0.700810i
$801$	−4.72033	−	4.44755i	−0.166785	−	0.157146i
$802$	31.6426	−	16.0714i	1.11734	−	0.567500i
$803$	−28.9111	+	16.6918i	−1.02025	+	0.589042i
$804$	44.7679	−	13.8618i	1.57884	−	0.488868i
$805$	−4.31979	+	0.805285i	−0.152253	+	0.0283826i
$806$	0.582545	−	0.295876i	0.0205193	−	0.0104218i
$807$	−38.8628	+	16.7789i	−1.36804	+	0.590646i
$808$	3.83173	−	23.6016i	0.134800	−	0.830301i
$809$	20.3250	+	35.2039i	0.714588	+	1.23770i	0.963118	+	0.269078i	$0.0867190\pi$
$809$	20.3250	+	35.2039i	0.714588	+	1.23770i	−0.248531	+	0.968624i	$0.579948\pi$
$810$	−3.51235	+	0.0205213i	−0.123411	+	0.000721044i
$811$		−	32.5744i		−	1.14384i	−0.820309	−	0.571921i	$-0.806198\pi$
$811$		−	32.5744i		−	1.14384i	0.820309	−	0.571921i	$-0.193802\pi$
$812$	−0.0272472	−	0.0397756i	−0.000956189	−	0.00139585i
$813$	14.2973	+	10.6367i	0.501430	+	0.373045i
$814$	−66.0626	−	3.54758i	−2.31549	−	0.124343i
$815$	1.21401	−	2.10273i	0.0425249	−	0.0736553i
$816$	26.8927	−	23.4242i	0.941431	−	0.820013i
$817$	17.6245	−	10.1755i	0.616603	−	0.355996i
$818$	−19.8616	−	1.06658i	−0.694446	−	0.0372919i
$819$	34.6197	−	17.8410i	1.20971	−	0.623416i
$820$	−0.192924	+	1.79112i	−0.00673719	+	0.0625487i
$821$	−12.2971	+	7.09976i	−0.429173	+	0.247783i	−0.698994	−	0.715127i	$-0.746369\pi$
$821$	−12.2971	+	7.09976i	−0.429173	+	0.247783i	0.269821	+	0.962910i	$0.413035\pi$
$822$	−5.82340	−	15.7610i	−0.203114	−	0.549729i
$823$	−43.2683	−	24.9810i	−1.50824	−	0.870782i	−0.999954	−	0.00959286i	$-0.996946\pi$
$823$	−43.2683	−	24.9810i	−1.50824	−	0.870782i	−0.508285	−	0.861189i	$-0.669720\pi$
$824$	1.58366	−	9.75455i	0.0551693	−	0.339816i
$825$	4.05299	−	34.7746i	0.141107	−	1.21070i
$826$	4.83263	+	36.7774i	0.168149	+	1.27965i
$827$	−28.1430			−0.978629			−0.489314	−	0.872107i	$-0.662753\pi$
$827$	−28.1430			−0.978629			−0.489314	+	0.872107i	$0.662753\pi$
$828$	23.4791	+	27.4356i	0.815956	+	0.953452i
$829$	−11.4156	−	19.7724i	−0.396480	−	0.686723i	0.596809	−	0.802383i	$-0.296435\pi$
$829$	−11.4156	−	19.7724i	−0.396480	−	0.686723i	−0.993289	+	0.115660i	$0.963102\pi$
$830$	4.17112	+	0.223990i	0.144782	+	0.00777481i
$831$	−18.0602	−	2.10492i	−0.626500	−	0.0730188i
$832$	7.86426	+	38.4584i	0.272644	+	1.33331i
$833$	−22.6181	+	28.0505i	−0.783672	+	0.971891i
$834$	6.74168	+	5.60136i	0.233445	+	0.193959i
$835$	−1.86721	−	3.23410i	−0.0646173	−	0.111921i
$836$	15.2127	−	6.72619i	0.526141	−	0.232630i
$837$	−0.314855	−	0.374479i	−0.0108830	−	0.0129439i
$838$	19.6509	−	30.1745i	0.678828	−	1.04236i
$839$	−27.1825	+	47.0814i	−0.938443	+	1.62543i	−0.170068	+	0.985432i	$0.554399\pi$
$839$	−27.1825	+	47.0814i	−0.938443	+	1.62543i	−0.768375	+	0.639999i	$0.778935\pi$
$840$	−0.330997	+	3.56151i	−0.0114205	+	0.122884i
$841$	−14.5000	−	25.1147i	−0.499999	−	0.866023i
$842$	6.48710	+	0.348359i	0.223560	+	0.0120052i
$843$	40.5125	+	30.1398i	1.39533	+	1.03807i
$844$	35.6500	+	3.83990i	1.22712	+	0.132175i
$845$	−1.52835	+	2.64717i	−0.0525767	+	0.0910656i
$846$	21.4299	+	22.4797i	0.736777	+	0.772869i
$847$	−2.83746	−	15.2210i	−0.0974962	−	0.522999i
$848$	13.7023	+	12.4661i	0.470538	+	0.428087i
$849$	−22.7190	+	30.5378i	−0.779712	+	1.04805i
$850$	19.5612	−	30.0369i	0.670945	−	1.03026i
$851$	34.2920	−	59.3955i	1.17552	−	2.03605i
$852$	−22.9922	+	24.8332i	−0.787700	+	0.850772i
$853$	−16.5576	+	28.6785i	−0.566920	+	0.981934i	0.429948	+	0.902853i	$0.358532\pi$
$853$	−16.5576	+	28.6785i	−0.566920	+	0.981934i	−0.996868	+	0.0790805i	$0.974802\pi$
$854$	3.13578	−	7.56518i	0.107304	−	0.258875i
$855$	−1.22072	−	1.15018i	−0.0417478	−	0.0393353i
$856$	6.22154	+	5.07806i	0.212648	+	0.173565i
$857$		−	18.0871i		−	0.617845i	−0.951087	−	0.308923i	$-0.900032\pi$
$857$		−	18.0871i		−	0.617845i	0.951087	−	0.308923i	$-0.0999684\pi$
$858$	−31.5312	+	37.9503i	−1.07646	+	1.29560i
$859$		−	13.7282i		−	0.468401i	−0.972188	−	0.234201i	$-0.924753\pi$
$859$		−	13.7282i		−	0.468401i	0.972188	−	0.234201i	$-0.0752473\pi$
$860$	−2.24198	−	5.07071i	−0.0764509	−	0.172910i
$861$	−12.4133	+	8.34511i	−0.423043	+	0.284401i
$862$	−27.4934	+	42.2169i	−0.936428	+	1.43791i
$863$	9.69498	+	5.59740i	0.330021	+	0.190538i	0.655850	−	0.754891i	$-0.272310\pi$
$863$	9.69498	+	5.59740i	0.330021	+	0.190538i	−0.325829	+	0.945429i	$0.605644\pi$
$864$	26.7073	−	12.2768i	0.908601	−	0.417664i
$865$	2.10998	+	3.65459i	0.0717414	+	0.124260i
$866$	−5.07051	−	9.98322i	−0.172303	−	0.339243i
$867$	13.1991	+	9.81967i	0.448267	+	0.333493i
$868$	−0.411038	+	0.281570i	−0.0139515	+	0.00955712i
$869$	55.7668	−	32.1970i	1.89176	−	1.09221i
$870$	0.00104002	−	0.00607055i	3.52601e−5	−	0.000205811i
$871$	−66.3825			−2.24928
$872$	2.61313	+	6.88691i	0.0884917	+	0.233220i
$873$	33.1980	+	31.2795i	1.12358	+	1.05865i
$874$	−0.924638	+	17.2185i	−0.0312764	+	0.582425i
$875$	1.32784	+	7.12293i	0.0448892	+	0.240799i
$876$	−27.4712	−	6.23904i	−0.928164	−	0.210798i
$877$		−	6.93947i		−	0.234329i	−0.993113	−	0.117165i	$-0.962619\pi$
$877$		−	6.93947i		−	0.234329i	0.993113	−	0.117165i	$-0.0373805\pi$
$878$	18.0159	+	11.7327i	0.608006	+	0.395959i
$879$	−16.1826	+	6.98680i	−0.545826	+	0.235659i
$880$	−1.37805	−	4.31680i	−0.0464541	−	0.145519i
$881$		−	19.3070i		−	0.650470i	−0.945633	−	0.325235i	$-0.894557\pi$
$881$		−	19.3070i		−	0.650470i	0.945633	−	0.325235i	$-0.105443\pi$
$882$	−24.4017	+	16.9280i	−0.821648	+	0.569996i
$883$	−28.8544			−0.971029			−0.485515	−	0.874229i	$-0.661368\pi$
$883$	−28.8544			−0.971029			−0.485515	+	0.874229i	$0.661368\pi$
$884$	−46.2021	+	20.4280i	−1.55394	+	0.687066i
$885$	−2.82840	+	3.80181i	−0.0950757	+	0.127796i
$886$	19.4155	+	12.6442i	0.652276	+	0.424789i
$887$	34.2759			1.15087			0.575436	−	0.817847i	$-0.304832\pi$
$887$	34.2759			1.15087			0.575436	+	0.817847i	$0.304832\pi$
$888$	−38.8722	−	40.0701i	−1.30446	−	1.34466i
$889$	−11.7525	+	2.19087i	−0.394167	+	0.0734796i
$890$	−0.842485	−	0.0452416i	−0.0282402	−	0.00151650i
$891$	33.0381	+	16.5380i	1.10682	+	0.554045i
$892$	13.1932	+	29.8391i	0.441741	+	0.999088i
$893$			14.8305i			0.496283i
$894$	5.40191	−	1.99590i	0.180667	−	0.0667530i
$895$	0.683808	+	1.18439i	0.0228572	+	0.0395898i
$896$	−9.76646	−	28.2952i	−0.326275	−	0.945275i
$897$	−20.2747	−	46.9597i	−0.676953	−	1.56794i
$898$	29.0377	−	14.7483i	0.969001	−	0.492159i
$899$	0.000742965	0	0.000428951i	2.47793e−5	0	1.43063e-5i
$900$	22.4458	−	19.2089i	0.748192	−	0.640296i
$901$	−11.9196	+	20.6454i	−0.397101	+	0.687799i
$902$	10.3410	−	15.8790i	0.344319	−	0.528711i
$903$	20.2433	−	41.3435i	0.673656	−	1.37583i
$904$	17.2359	−	6.53989i	0.573257	−	0.217514i
$905$	−1.33861			−0.0444968
$906$	−16.1202	+	5.95609i	−0.535557	+	0.197878i
$907$	14.1422			0.469583			0.234792	−	0.972046i	$-0.424559\pi$
$907$	14.1422			0.469583			0.234792	+	0.972046i	$0.424559\pi$
$908$	28.0970	+	20.5245i	0.932433	+	0.681131i
$909$	24.6812	+	5.83244i	0.818625	+	0.193450i
$910$	1.94002	−	4.68036i	0.0643111	−	0.155153i
$911$	−37.5941	−	21.7050i	−1.24555	−	0.719118i	−0.275331	−	0.961350i	$-0.588787\pi$
$911$	−37.5941	−	21.7050i	−1.24555	−	0.719118i	−0.970218	+	0.242232i	$0.922121\pi$
$912$	13.2758	+	4.55651i	0.439605	+	0.150881i
$913$	−38.0516	−	21.9691i	−1.25932	−	0.727071i
$914$	−10.1845	−	6.63257i	−0.336874	−	0.219386i
$915$	0.960452	−	0.414673i	0.0317516	−	0.0137087i
$916$	17.7189	−	24.2563i	0.585449	−	0.801449i
$917$	20.7610	−	3.87021i	0.685588	−	0.127806i
$918$	22.7558	+	30.2171i	0.751054	+	0.997312i
$919$	−22.8339	−	13.1832i	−0.753221	−	0.434872i	0.0736354	−	0.997285i	$-0.476540\pi$
$919$	−22.8339	−	13.1832i	−0.753221	−	0.434872i	−0.826857	+	0.562413i	$0.809873\pi$
$920$	4.63690	+	0.752802i	0.152874	+	0.0248191i
$921$	−41.6170	−	4.85048i	−1.37133	−	0.159829i
$922$	−2.46369	+	45.8785i	−0.0811372	+	1.51093i
$923$	41.5147	−	23.9685i	1.36647	−	0.788934i
$924$	20.0689	−	31.8248i	0.660219	−	1.04696i
$925$	−48.5930	−	28.0552i	−1.59773	−	0.922449i
$926$	−9.75397	+	14.9775i	−0.320535	+	0.492191i
$927$	10.2008	+	2.41055i	0.335038	+	0.0791730i
$928$	0.0130190	+	0.0498707i	0.000427368	+	0.00163709i
$929$	−45.6292	+	26.3440i	−1.49704	+	0.864319i	−0.999994	−	0.00340223i	$-0.998917\pi$
$929$	−45.6292	+	26.3440i	−1.49704	+	0.864319i	−0.497051	+	0.867722i	$0.665584\pi$
$930$	−0.0627325	−	0.0107475i	−0.00205708	−	0.000352425i
$931$	−14.0114	−	2.18925i	−0.459206	−	0.0717499i
$932$	−5.11898	−	11.5776i	−0.167678	−	0.379238i
$933$	3.36971	+	2.50694i	0.110319	+	0.0820735i
$934$	6.73220	+	0.361521i	0.220284	+	0.0118293i
$935$	5.05025	−	2.91576i	0.165161	−	0.0953556i
$936$	−41.2809	+	5.42210i	−1.34931	+	0.177227i
$937$		−	22.5990i		−	0.738278i	−0.929374	−	0.369139i	$-0.879653\pi$
$937$		−	22.5990i		−	0.738278i	0.929374	−	0.369139i	$-0.120347\pi$
$938$	50.1884	−	6.59485i	1.63871	−	0.215329i
$939$	−22.9765	−	53.2174i	−0.749809	−	1.73668i
$940$	4.01704	+	0.432679i	0.131021	+	0.0141124i
$941$	−27.1324	+	46.9947i	−0.884491	+	1.53198i	−0.0381954	+	0.999270i	$0.512161\pi$
$941$	−27.1324	+	46.9947i	−0.884491	+	1.53198i	−0.846296	+	0.532713i	$0.821172\pi$
$942$	−9.70283	−	1.66232i	−0.316135	−	0.0541612i
$943$	9.82215	+	17.0125i	0.319853	+	0.554002i
$944$	8.44454	−	38.7452i	0.274846	−	1.26105i
$945$	−3.74307	−	0.618575i	−0.121762	−	0.0201222i
$946$	−3.12721	+	58.2345i	−0.101674	+	1.89337i
$947$	13.4607	+	23.3146i	0.437415	+	0.757624i	0.997489	−	0.0708178i	$-0.0225609\pi$
$947$	13.4607	+	23.3146i	0.437415	+	0.757624i	−0.560075	+	0.828442i	$0.689228\pi$
$948$	52.9893	+	12.0345i	1.72101	+	0.390863i
$949$	34.5569	+	19.9515i	1.12177	+	0.647652i
$950$	14.0869	+	0.756471i	0.457040	+	0.0245432i
$951$	−7.34630	−	17.0153i	−0.238220	−	0.551758i
$952$	32.9016	−	20.0345i	1.06635	−	0.649323i
$953$	28.1996			0.913476			0.456738	−	0.889601i	$-0.349018\pi$
$953$	28.1996			0.913476			0.456738	+	0.889601i	$0.349018\pi$
$954$	−14.2214	+	13.5573i	−0.460436	+	0.438934i
$955$	−4.10704	+	2.37120i	−0.132901	+	0.0767302i
$956$	−1.31521	+	12.2106i	−0.0425371	+	0.394918i
$957$	−0.0386698	+	0.0519782i	−0.00125002	+	0.00168022i
$958$	−1.26896	+	0.644509i	−0.0409982	+	0.0208231i
$959$	−3.32594	−	17.8414i	−0.107400	−	0.576127i
$960$	1.62152	−	3.46299i	0.0523342	−	0.111768i
$961$	15.4956	+	26.8391i	0.499857	+	0.865778i
$962$	35.8094	+	70.5045i	1.15454	+	2.27316i
$963$	−5.84132	+	6.19959i	−0.188234	+	0.199779i
$964$	22.3601	+	16.3338i	0.720170	+	0.526076i
$965$	0.579085	−	1.00300i	0.0186414	−	0.0322879i
$966$	19.9939	+	33.4896i	0.643294	+	1.07751i
$967$	26.0661	−	15.0493i	0.838230	−	0.483953i	−0.0184319	−	0.999830i	$-0.505867\pi$
$967$	26.0661	−	15.0493i	0.838230	−	0.483953i	0.856662	+	0.515878i	$0.172534\pi$
$968$	−2.65253	+	16.3383i	−0.0852556	+	0.525133i
$969$	−2.09109	+	17.9416i	−0.0671756	+	0.576366i
$970$	5.92518	+	0.318184i	0.190246	+	0.0102163i
$971$	26.4287	+	15.2586i	0.848137	+	0.489672i	0.860022	−	0.510257i	$-0.170450\pi$
$971$	26.4287	+	15.2586i	0.848137	+	0.489672i	−0.0118846	+	0.999929i	$0.503783\pi$
$972$	10.9760	+	29.1809i	0.352055	+	0.935979i
$973$	6.15602	+	7.19258i	0.197353	+	0.230583i
$974$	−13.1285	+	20.1592i	−0.420664	+	0.645942i
$975$	−38.4190	+	16.5873i	−1.23039	+	0.531218i
$976$	−5.89154	+	6.47576i	−0.188584	+	0.207284i
$977$	−21.5053	+	37.2482i	−0.688014	+	1.19168i	0.284465	+	0.958686i	$0.408184\pi$
$977$	−21.5053	+	37.2482i	−0.688014	+	1.19168i	−0.972479	+	0.232989i	$0.925149\pi$
$978$	−21.2422	−	3.63927i	−0.679249	−	0.116371i
$979$	7.68568	+	4.43733i	0.245636	+	0.141818i
$980$	−1.00177	+	3.73132i	−0.0320005	+	0.119192i
$981$	−7.48313	+	2.24566i	−0.238918	+	0.0716983i
$982$	−25.3027	−	16.4782i	−0.807443	−	0.525840i
$983$	9.00005			0.287057			0.143529	−	0.989646i	$-0.454155\pi$
$983$	9.00005			0.287057			0.143529	+	0.989646i	$0.454155\pi$
$984$	15.5065	−	3.90378i	0.494330	−	0.124448i
$985$		−	5.28498i		−	0.168393i
$986$	−0.0591391	+	0.0300369i	−0.00188337	+	0.000956571i
$987$	18.7160	+	27.8398i	0.595736	+	0.886152i
$988$	−16.0543	−	11.7275i	−0.510755	−	0.373100i
$989$	−52.3575	−	30.2286i	−1.66487	−	0.961214i
$990$	4.67093	−	1.13265i	0.148452	−	0.0359979i
$991$	12.3258	−	7.11632i	0.391543	−	0.226057i	−0.291286	−	0.956636i	$-0.594083\pi$
$991$	12.3258	−	7.11632i	0.391543	−	0.226057i	0.682828	+	0.730579i	$0.260750\pi$
$992$	0.515360	−	0.134537i	0.0163627	−	0.00427155i
$993$	−22.3608	+	9.65421i	−0.709598	+	0.306367i
$994$	−29.0060	+	22.2457i	−0.920013	+	0.705591i
$995$	0.688413	+	1.19237i	0.0218242	+	0.0378006i
$996$	−10.9668	−	35.4181i	−0.347495	−	1.12227i
$997$	45.9088			1.45395			0.726973	−	0.686666i	$-0.240926\pi$
$997$	45.9088			1.45395			0.726973	+	0.686666i	$0.240926\pi$
$998$	−10.2156	+	5.18852i	−0.323368	+	0.164240i
$999$	45.3227	−	38.1064i	1.43395	−	1.20563i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.cz.b.187.13	yes	180
7.3	odd	6		504.2.bf.b.115.49	✓	180
8.3	odd	2	inner	504.2.cz.b.187.73	yes	180
9.4	even	3		504.2.bf.b.355.49	yes	180
56.3	even	6		504.2.bf.b.115.50	yes	180
63.31	odd	6	inner	504.2.cz.b.283.73	yes	180
72.67	odd	6		504.2.bf.b.355.50	yes	180
504.283	even	6	inner	504.2.cz.b.283.13	yes	180

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.bf.b.115.49	✓	180	7.3	odd	6
504.2.bf.b.115.50	yes	180	56.3	even	6
504.2.bf.b.355.49	yes	180	9.4	even	3
504.2.bf.b.355.50	yes	180	72.67	odd	6
504.2.cz.b.187.13	yes	180	1.1	even	1	trivial
504.2.cz.b.187.73	yes	180	8.3	odd	2	inner
504.2.cz.b.283.13	yes	180	504.283	even	6	inner
504.2.cz.b.283.73	yes	180	63.31	odd	6	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	504.cz (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.26090 + 0.640415i) q^{2} +(-0.200514 + 1.72041i) q^{3} +(1.17974 - 1.61500i) q^{4} +0.275961 q^{5} +(-0.848945 - 2.29767i) q^{6} +(-0.484862 - 2.60094i) q^{7} +(-0.453262 + 2.79187i) q^{8} +(-2.91959 - 0.689930i) q^{9} +O(q^{10})\)	\(q+(-1.26090 + 0.640415i) q^{2} +(-0.200514 + 1.72041i) q^{3} +(1.17974 - 1.61500i) q^{4} +0.275961 q^{5} +(-0.848945 - 2.29767i) q^{6} +(-0.484862 - 2.60094i) q^{7} +(-0.453262 + 2.79187i) q^{8} +(-2.91959 - 0.689930i) q^{9} +(-0.347959 + 0.176729i) q^{10} +4.10513 q^{11} +(2.54190 + 2.35346i) q^{12} +(-2.45339 - 4.24940i) q^{13} +(2.27705 + 2.96902i) q^{14} +(-0.0553340 + 0.474765i) q^{15} +(-1.21644 - 3.81055i) q^{16} +(4.45798 - 2.57382i) q^{17} +(4.12315 - 0.999815i) q^{18} +(1.75450 + 1.01296i) q^{19} +(0.325561 - 0.445676i) q^{20} +(4.57190 - 0.312633i) q^{21} +(-5.17616 + 2.62899i) q^{22} -6.01844i q^{23} +(-4.71227 - 1.33960i) q^{24} -4.92385 q^{25} +(5.81486 + 3.78688i) q^{26} +(1.77238 - 4.88453i) q^{27} +(-4.77253 - 2.28538i) q^{28} +(0.00789073 + 0.00455571i) q^{29} +(-0.234276 - 0.634067i) q^{30} +(0.0470784 - 0.0815421i) q^{31} +(3.97414 + 4.02569i) q^{32} +(-0.823136 + 7.06249i) q^{33} +(-3.97276 + 6.10028i) q^{34} +(-0.133803 - 0.717759i) q^{35} +(-4.55858 + 3.90119i) q^{36} +(9.86892 + 5.69782i) q^{37} +(-2.86096 - 0.153634i) q^{38} +(7.80263 - 3.36877i) q^{39} +(-0.125082 + 0.770448i) q^{40} +(-2.82672 + 1.63201i) q^{41} +(-5.56449 + 3.32211i) q^{42} +(5.02266 - 8.69951i) q^{43} +(4.84298 - 6.62978i) q^{44} +(-0.805692 - 0.190394i) q^{45} +(3.85430 + 7.58865i) q^{46} +(3.66018 + 6.33963i) q^{47} +(6.79960 - 1.32870i) q^{48} +(-6.52982 + 2.52220i) q^{49} +(6.20848 - 3.15330i) q^{50} +(3.53412 + 8.18562i) q^{51} +(-9.75714 - 1.05095i) q^{52} +(-4.01066 + 2.31556i) q^{53} +(0.893338 + 7.29397i) q^{54} +1.13286 q^{55} +(7.48127 - 0.174764i) q^{56} +(-2.09450 + 2.81533i) q^{57} +(-0.0128670 - 0.000690959i) q^{58} +(8.58550 + 4.95684i) q^{59} +(0.701464 + 0.649462i) q^{60} +(-1.09434 - 1.89546i) q^{61} +(-0.00714032 + 0.132966i) q^{62} +(-0.378873 + 7.92821i) q^{63} +(-7.58911 - 2.53090i) q^{64} +(-0.677040 - 1.17267i) q^{65} +(-3.48503 - 9.43224i) q^{66} +(6.76435 - 11.7162i) q^{67} +(1.10254 - 10.2361i) q^{68} +(10.3542 + 1.20678i) q^{69} +(0.628375 + 0.819333i) q^{70} +9.76955i q^{71} +(3.24953 - 7.83840i) q^{72} +(-7.04268 + 4.06609i) q^{73} +(-16.0927 - 0.864181i) q^{74} +(0.987299 - 8.47101i) q^{75} +(3.70577 - 1.63848i) q^{76} +(-1.99042 - 10.6772i) q^{77} +(-7.68093 + 9.24460i) q^{78} +(13.5847 - 7.84311i) q^{79} +(-0.335690 - 1.05156i) q^{80} +(8.04799 + 4.02862i) q^{81} +(2.51905 - 3.86808i) q^{82} +(-9.26928 - 5.35162i) q^{83} +(4.88874 - 7.75243i) q^{84} +(1.23023 - 0.710273i) q^{85} +(-0.761781 + 14.1858i) q^{86} +(-0.00941987 + 0.0126618i) q^{87} +(-1.86070 + 11.4610i) q^{88} +(1.87221 + 1.08092i) q^{89} +(1.13783 - 0.275910i) q^{90} +(-9.86290 + 8.44151i) q^{91} +(-9.71978 - 7.10018i) q^{92} +(0.130846 + 0.0973442i) q^{93} +(-8.67512 - 5.64960i) q^{94} +(0.484172 + 0.279537i) q^{95} +(-7.72269 + 6.02992i) q^{96} +(-13.1673 - 7.60212i) q^{97} +(6.61820 - 7.36203i) q^{98} +(-11.9853 - 2.83225i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 180 q + 3 q^{2} + q^{4} + 6 q^{6} - 8 q^{9}+O(q^{10}) \) 180 * q + 3 * q^2 + q^4 + 6 * q^6 - 8 * q^9	\( 180 q + 3 q^{2} + q^{4} + 6 q^{6} - 8 q^{9} + 16 q^{11} - 3 q^{12} + 7 q^{14} - 7 q^{16} - 18 q^{17} - 13 q^{18} - 6 q^{19} - 36 q^{20} - 16 q^{22} - 24 q^{24} + 156 q^{25} - 6 q^{26} + 16 q^{28} - 8 q^{30} + 13 q^{32} - 36 q^{33} + 12 q^{34} - 12 q^{35} + 2 q^{36} + 42 q^{41} + 31 q^{42} + 14 q^{43} - 21 q^{44} - 12 q^{46} + 9 q^{48} + 20 q^{49} + 15 q^{50} - 42 q^{51} - 12 q^{54} - 40 q^{56} - 26 q^{57} - 38 q^{58} + 18 q^{59} - 38 q^{60} - 8 q^{64} - 12 q^{65} - 21 q^{66} - 14 q^{67} - 42 q^{70} + 5 q^{72} + 18 q^{73} - 98 q^{74} - 48 q^{75} + 12 q^{76} - 33 q^{78} - 63 q^{80} + 8 q^{81} - 54 q^{82} - 6 q^{83} - 77 q^{84} + 26 q^{86} - 58 q^{88} - 66 q^{89} + 51 q^{90} + 2 q^{91} - 60 q^{92} + 9 q^{94} - 30 q^{96} + 6 q^{97} + 31 q^{98} + 4 q^{99}+O(q^{100}) \) 180 * q + 3 * q^2 + q^4 + 6 * q^6 - 8 * q^9 + 16 * q^11 - 3 * q^12 + 7 * q^14 - 7 * q^16 - 18 * q^17 - 13 * q^18 - 6 * q^19 - 36 * q^20 - 16 * q^22 - 24 * q^24 + 156 * q^25 - 6 * q^26 + 16 * q^28 - 8 * q^30 + 13 * q^32 - 36 * q^33 + 12 * q^34 - 12 * q^35 + 2 * q^36 + 42 * q^41 + 31 * q^42 + 14 * q^43 - 21 * q^44 - 12 * q^46 + 9 * q^48 + 20 * q^49 + 15 * q^50 - 42 * q^51 - 12 * q^54 - 40 * q^56 - 26 * q^57 - 38 * q^58 + 18 * q^59 - 38 * q^60 - 8 * q^64 - 12 * q^65 - 21 * q^66 - 14 * q^67 - 42 * q^70 + 5 * q^72 + 18 * q^73 - 98 * q^74 - 48 * q^75 + 12 * q^76 - 33 * q^78 - 63 * q^80 + 8 * q^81 - 54 * q^82 - 6 * q^83 - 77 * q^84 + 26 * q^86 - 58 * q^88 - 66 * q^89 + 51 * q^90 + 2 * q^91 - 60 * q^92 + 9 * q^94 - 30 * q^96 + 6 * q^97 + 31 * q^98 + 4 * q^99

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