LMFDB - Embedded newform 91.2.ba.a.45.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [91,2,Mod(45,91)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(91, base_ring=CyclotomicField(12))

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

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

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

chi := DirichletCharacter("91.45");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 91 = 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	91.ba (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.726638658394$
Analytic rank:	$0$
Dimension:	$28$
Relative dimension:	$7$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			45.4
Character	$\chi$	$=$	91.45
Dual form			91.2.ba.a.89.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.193244 + 0.193244i) q^{2} +(2.17048 - 1.25313i) q^{3} +1.92531i q^{4} +(-0.383199 + 1.43012i) q^{5} +(-0.177273 + 0.661591i) q^{6} +(-2.15474 - 1.53528i) q^{7} +(-0.758543 - 0.758543i) q^{8} +(1.64065 - 2.84169i) q^{9} +O(q^{10})$	\(q+(-0.193244 + 0.193244i) q^{2} +(2.17048 - 1.25313i) q^{3} +1.92531i q^{4} +(-0.383199 + 1.43012i) q^{5} +(-0.177273 + 0.661591i) q^{6} +(-2.15474 - 1.53528i) q^{7} +(-0.758543 - 0.758543i) q^{8} +(1.64065 - 2.84169i) q^{9} +(-0.202311 - 0.350412i) q^{10} +(1.18808 - 4.43396i) q^{11} +(2.41266 + 4.17885i) q^{12} +(-2.80779 + 2.26193i) q^{13} +(0.713075 - 0.119706i) q^{14} +(0.960393 + 3.58423i) q^{15} -3.55746 q^{16} +2.34163 q^{17} +(0.232094 + 0.866185i) q^{18} +(-1.63673 + 0.438561i) q^{19} +(-2.75342 - 0.737778i) q^{20} +(-6.60072 - 0.632136i) q^{21} +(0.627247 + 1.08642i) q^{22} -4.79276i q^{23} +(-2.59695 - 0.695851i) q^{24} +(2.43173 + 1.40396i) q^{25} +(0.105485 - 0.979692i) q^{26} -0.705008i q^{27} +(2.95590 - 4.14855i) q^{28} +(-2.87534 + 4.98024i) q^{29} +(-0.878222 - 0.507042i) q^{30} +(-5.69764 + 1.52668i) q^{31} +(2.20454 - 2.20454i) q^{32} +(-2.97762 - 11.1126i) q^{33} +(-0.452505 + 0.452505i) q^{34} +(3.02133 - 2.49321i) q^{35} +(5.47114 + 3.15877i) q^{36} +(6.03398 + 6.03398i) q^{37} +(0.231540 - 0.401038i) q^{38} +(-3.25977 + 8.42798i) q^{39} +(1.37548 - 0.794133i) q^{40} +(-0.829479 + 0.222258i) q^{41} +(1.39771 - 1.15339i) q^{42} +(1.70069 - 0.981895i) q^{43} +(8.53676 + 2.28742i) q^{44} +(3.43525 + 3.43525i) q^{45} +(0.926173 + 0.926173i) q^{46} +(7.75739 + 2.07859i) q^{47} +(-7.72139 + 4.45794i) q^{48} +(2.28581 + 6.61627i) q^{49} +(-0.741225 + 0.198611i) q^{50} +(5.08245 - 2.93435i) q^{51} +(-4.35492 - 5.40588i) q^{52} +(6.54133 - 11.3299i) q^{53} +(0.136239 + 0.136239i) q^{54} +(5.88581 + 3.39817i) q^{55} +(0.469885 + 2.79904i) q^{56} +(-3.00292 + 3.00292i) q^{57} +(-0.406759 - 1.51804i) q^{58} +(1.09542 - 1.09542i) q^{59} +(-6.90078 + 1.84906i) q^{60} +(-8.45262 - 4.88012i) q^{61} +(0.806013 - 1.39606i) q^{62} +(-7.89797 + 3.60424i) q^{63} -6.26289i q^{64} +(-2.15888 - 4.88224i) q^{65} +(2.72285 + 1.57204i) q^{66} +(0.526925 + 0.141189i) q^{67} +4.50837i q^{68} +(-6.00594 - 10.4026i) q^{69} +(-0.102055 + 1.06565i) q^{70} +(1.77061 + 0.474435i) q^{71} +(-3.40005 + 0.911040i) q^{72} +(-0.611552 - 2.28234i) q^{73} -2.33206 q^{74} +7.03736 q^{75} +(-0.844368 - 3.15123i) q^{76} +(-9.36737 + 7.72999i) q^{77} +(-0.998725 - 2.25859i) q^{78} +(-2.13339 - 3.69514i) q^{79} +(1.36321 - 5.08758i) q^{80} +(4.03849 + 6.99486i) q^{81} +(0.117342 - 0.203242i) q^{82} +(3.88518 + 3.88518i) q^{83} +(1.21706 - 12.7085i) q^{84} +(-0.897309 + 3.34880i) q^{85} +(-0.138903 + 0.518394i) q^{86} +14.4127i q^{87} +(-4.26455 + 2.46214i) q^{88} +(-9.92055 + 9.92055i) q^{89} -1.32768 q^{90} +(9.52276 - 0.563113i) q^{91} +9.22757 q^{92} +(-10.4535 + 10.4535i) q^{93} +(-1.90074 + 1.09739i) q^{94} -2.50878i q^{95} +(2.02234 - 7.54749i) q^{96} +(0.734114 - 2.73975i) q^{97} +(-1.72027 - 0.836835i) q^{98} +(-10.6507 - 10.6507i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 28 q - 2 q^{2} - 6 q^{3} - 6 q^{5} - 12 q^{6} - 6 q^{7} - 4 q^{8} + 6 q^{9}+O(q^{10}) $ 28 * q - 2 * q^2 - 6 * q^3 - 6 * q^5 - 12 * q^6 - 6 * q^7 - 4 * q^8 + 6 * q^9	$ 28 q - 2 q^{2} - 6 q^{3} - 6 q^{5} - 12 q^{6} - 6 q^{7} - 4 q^{8} + 6 q^{9} - 6 q^{10} + 2 q^{11} - 8 q^{12} - 20 q^{14} + 10 q^{15} + 4 q^{16} - 12 q^{17} + 2 q^{18} + 14 q^{19} + 36 q^{20} - 6 q^{21} - 8 q^{22} - 18 q^{24} + 24 q^{26} + 2 q^{28} - 8 q^{29} - 30 q^{30} - 4 q^{31} + 10 q^{32} - 12 q^{33} - 12 q^{34} - 20 q^{35} + 54 q^{36} - 10 q^{37} - 20 q^{39} + 48 q^{40} - 18 q^{41} - 10 q^{42} + 48 q^{43} - 6 q^{44} - 6 q^{45} + 24 q^{46} - 6 q^{47} - 12 q^{48} - 50 q^{49} + 10 q^{50} - 12 q^{51} - 26 q^{52} + 12 q^{53} - 30 q^{54} + 6 q^{55} + 54 q^{56} + 12 q^{57} - 46 q^{58} + 42 q^{59} + 10 q^{60} + 30 q^{61} + 36 q^{62} + 54 q^{63} + 28 q^{65} + 66 q^{66} - 10 q^{67} - 42 q^{69} - 88 q^{70} - 42 q^{71} + 46 q^{72} + 40 q^{73} + 12 q^{74} - 40 q^{75} - 52 q^{76} - 62 q^{78} + 4 q^{79} + 30 q^{80} - 6 q^{81} - 54 q^{82} + 66 q^{83} + 104 q^{84} - 54 q^{85} - 18 q^{86} - 6 q^{88} + 72 q^{90} + 26 q^{91} - 156 q^{92} + 20 q^{93} - 18 q^{94} - 66 q^{96} - 62 q^{97} - 56 q^{98} - 36 q^{99}+O(q^{100}) $ 28 * q - 2 * q^2 - 6 * q^3 - 6 * q^5 - 12 * q^6 - 6 * q^7 - 4 * q^8 + 6 * q^9 - 6 * q^10 + 2 * q^11 - 8 * q^12 - 20 * q^14 + 10 * q^15 + 4 * q^16 - 12 * q^17 + 2 * q^18 + 14 * q^19 + 36 * q^20 - 6 * q^21 - 8 * q^22 - 18 * q^24 + 24 * q^26 + 2 * q^28 - 8 * q^29 - 30 * q^30 - 4 * q^31 + 10 * q^32 - 12 * q^33 - 12 * q^34 - 20 * q^35 + 54 * q^36 - 10 * q^37 - 20 * q^39 + 48 * q^40 - 18 * q^41 - 10 * q^42 + 48 * q^43 - 6 * q^44 - 6 * q^45 + 24 * q^46 - 6 * q^47 - 12 * q^48 - 50 * q^49 + 10 * q^50 - 12 * q^51 - 26 * q^52 + 12 * q^53 - 30 * q^54 + 6 * q^55 + 54 * q^56 + 12 * q^57 - 46 * q^58 + 42 * q^59 + 10 * q^60 + 30 * q^61 + 36 * q^62 + 54 * q^63 + 28 * q^65 + 66 * q^66 - 10 * q^67 - 42 * q^69 - 88 * q^70 - 42 * q^71 + 46 * q^72 + 40 * q^73 + 12 * q^74 - 40 * q^75 - 52 * q^76 - 62 * q^78 + 4 * q^79 + 30 * q^80 - 6 * q^81 - 54 * q^82 + 66 * q^83 + 104 * q^84 - 54 * q^85 - 18 * q^86 - 6 * q^88 + 72 * q^90 + 26 * q^91 - 156 * q^92 + 20 * q^93 - 18 * q^94 - 66 * q^96 - 62 * q^97 - 56 * q^98 - 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/91\mathbb{Z}\right)^\times$.

$n$	$15$	$66$
$\chi(n)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−0.193244	+	0.193244i	−0.136644	+	0.136644i	−0.772120	−	0.635476i	$-0.780804\pi$
$2$	−0.193244	+	0.193244i	−0.136644	+	0.136644i	0.635476	+	0.772120i	$0.280804\pi$
$3$	2.17048	−	1.25313i	1.25313	−	0.723493i	0.281397	−	0.959591i	$-0.409202\pi$
$3$	2.17048	−	1.25313i	1.25313	−	0.723493i	0.971729	+	0.236099i	$0.0758689\pi$
$4$			1.92531i			0.962657i
$5$	−0.383199	+	1.43012i	−0.171372	+	0.639568i	0.825770	+	0.564008i	$0.190741\pi$
$5$	−0.383199	+	1.43012i	−0.171372	+	0.639568i	−0.997141	+	0.0755602i	$0.975925\pi$
$6$	−0.177273	+	0.661591i	−0.0723713	+	0.270093i
$7$	−2.15474	−	1.53528i	−0.814415	−	0.580282i
$7$	−2.15474	−	1.53528i	−0.814415	−	0.580282i
$8$	−0.758543	−	0.758543i	−0.268186	−	0.268186i
$9$	1.64065	−	2.84169i	0.546883	−	0.947230i
$10$	−0.202311	−	0.350412i	−0.0639763	−	0.110810i
$11$	1.18808	−	4.43396i	0.358218	−	1.33689i	−0.518168	−	0.855279i	$-0.673386\pi$
$11$	1.18808	−	4.43396i	0.358218	−	1.33689i	0.876386	−	0.481609i	$-0.159948\pi$
$12$	2.41266	+	4.17885i	0.696475	+	1.20633i
$13$	−2.80779	+	2.26193i	−0.778741	+	0.627346i
$13$	−2.80779	+	2.26193i	−0.778741	+	0.627346i
$14$	0.713075	−	0.119706i	0.190577	−	0.0319929i
$15$	0.960393	+	3.58423i	0.247972	+	0.925445i
$16$	−3.55746			−0.889365
$17$	2.34163			0.567928			0.283964	−	0.958835i	$-0.408350\pi$
$17$	2.34163			0.567928			0.283964	+	0.958835i	$0.408350\pi$
$18$	0.232094	+	0.866185i	0.0547050	+	0.204162i
$19$	−1.63673	+	0.438561i	−0.375492	+	0.100613i	−0.441629	−	0.897198i	$-0.645599\pi$
$19$	−1.63673	+	0.438561i	−0.375492	+	0.100613i	0.0661367	+	0.997811i	$0.478933\pi$
$20$	−2.75342	−	0.737778i	−0.615684	−	0.164972i
$21$	−6.60072	−	0.632136i	−1.44040	−	0.137943i
$22$	0.627247	+	1.08642i	0.133730	+	0.231626i
$23$		−	4.79276i		−	0.999360i	−0.866210	−	0.499680i	$-0.833451\pi$
$23$		−	4.79276i		−	0.999360i	0.866210	−	0.499680i	$-0.166549\pi$
$24$	−2.59695	−	0.695851i	−0.530101	−	0.142040i
$25$	2.43173	+	1.40396i	0.486347	+	0.280792i
$26$	0.105485	−	0.979692i	0.0206873	−	0.192133i
$27$		−	0.705008i		−	0.135679i
$28$	2.95590	−	4.14855i	0.558613	−	0.784002i
$29$	−2.87534	+	4.98024i	−0.533938	+	0.924808i	0.465276	+	0.885166i	$0.345955\pi$
$29$	−2.87534	+	4.98024i	−0.533938	+	0.924808i	−0.999214	+	0.0396419i	$0.987378\pi$
$30$	−0.878222	−	0.507042i	−0.160341	−	0.0925727i
$31$	−5.69764	+	1.52668i	−1.02333	+	0.274199i	−0.731187	−	0.682177i	$-0.761033\pi$
$31$	−5.69764	+	1.52668i	−1.02333	+	0.274199i	−0.292139	+	0.956376i	$0.594367\pi$
$32$	2.20454	−	2.20454i	0.389712	−	0.389712i
$33$	−2.97762	−	11.1126i	−0.518336	−	1.93446i
$34$	−0.452505	+	0.452505i	−0.0776040	+	0.0776040i
$35$	3.02133	−	2.49321i	0.510698	−	0.421430i
$36$	5.47114	+	3.15877i	0.911857	+	0.526461i
$37$	6.03398	+	6.03398i	0.991979	+	0.991979i	0.999968	−	0.00798866i	$-0.00254290\pi$
$37$	6.03398	+	6.03398i	0.991979	+	0.991979i	−0.00798866	+	0.999968i	$0.502543\pi$
$38$	0.231540	−	0.401038i	0.0375607	−	0.0650570i
$39$	−3.25977	+	8.42798i	−0.521981	+	1.34956i
$40$	1.37548	−	0.794133i	0.217482	−	0.125563i
$41$	−0.829479	+	0.222258i	−0.129543	+	0.0347109i	−0.323008	−	0.946396i	$-0.604694\pi$
$41$	−0.829479	+	0.222258i	−0.129543	+	0.0347109i	0.193465	+	0.981107i	$0.438027\pi$
$42$	1.39771	−	1.15339i	0.215671	−	0.177972i
$43$	1.70069	−	0.981895i	0.259353	−	0.149738i	−0.364686	−	0.931130i	$-0.618824\pi$
$43$	1.70069	−	0.981895i	0.259353	−	0.149738i	0.624039	+	0.781393i	$0.285490\pi$
$44$	8.53676	+	2.28742i	1.28696	+	0.344841i
$45$	3.43525	+	3.43525i	0.512097	+	0.512097i
$46$	0.926173	+	0.926173i	0.136557	+	0.136557i
$47$	7.75739	+	2.07859i	1.13153	+	0.303193i	0.775542	−	0.631297i	$-0.217477\pi$
$47$	7.75739	+	2.07859i	1.13153	+	0.303193i	0.355990	+	0.934490i	$0.384144\pi$
$48$	−7.72139	+	4.45794i	−1.11449	+	0.643449i
$49$	2.28581	+	6.61627i	0.326545	+	0.945182i
$50$	−0.741225	+	0.198611i	−0.104825	+	0.0280878i
$51$	5.08245	−	2.93435i	0.711685	−	0.410892i
$52$	−4.35492	−	5.40588i	−0.603918	−	0.749660i
$53$	6.54133	−	11.3299i	0.898521	−	1.55628i	0.0691354	−	0.997607i	$-0.477976\pi$
$53$	6.54133	−	11.3299i	0.898521	−	1.55628i	0.829386	−	0.558677i	$-0.188691\pi$
$54$	0.136239	+	0.136239i	0.0185397	+	0.0185397i
$55$	5.88581	+	3.39817i	0.793642	+	0.458210i
$56$	0.469885	+	2.79904i	0.0627911	+	0.374038i
$57$	−3.00292	+	3.00292i	−0.397747	+	0.397747i
$58$	−0.406759	−	1.51804i	−0.0534100	−	0.199329i
$59$	1.09542	−	1.09542i	0.142611	−	0.142611i	−0.632197	−	0.774808i	$-0.717847\pi$
$59$	1.09542	−	1.09542i	0.142611	−	0.142611i	0.774808	+	0.632197i	$0.217847\pi$
$60$	−6.90078	+	1.84906i	−0.890886	+	0.238712i
$61$	−8.45262	−	4.88012i	−1.08225	−	0.624836i	−0.150746	−	0.988573i	$-0.548167\pi$
$61$	−8.45262	−	4.88012i	−1.08225	−	0.624836i	−0.931502	+	0.363737i	$0.881501\pi$
$62$	0.806013	−	1.39606i	0.102364	−	0.177299i
$63$	−7.89797	+	3.60424i	−0.995051	+	0.454092i
$64$		−	6.26289i		−	0.782861i
$65$	−2.15888	−	4.88224i	−0.267776	−	0.605567i
$66$	2.72285	+	1.57204i	0.335160	+	0.193505i
$67$	0.526925	+	0.141189i	0.0643742	+	0.0172490i	0.290862	−	0.956765i	$-0.406058\pi$
$67$	0.526925	+	0.141189i	0.0643742	+	0.0172490i	−0.226488	+	0.974014i	$0.572724\pi$
$68$			4.50837i			0.546720i
$69$	−6.00594	−	10.4026i	−0.723030	−	1.25232i
$70$	−0.102055	+	1.06565i	−0.0121979	+	0.127370i
$71$	1.77061	+	0.474435i	0.210133	+	0.0563050i	0.362350	−	0.932042i	$-0.381975\pi$
$71$	1.77061	+	0.474435i	0.210133	+	0.0563050i	−0.152217	+	0.988347i	$0.548641\pi$
$72$	−3.40005	+	0.911040i	−0.400699	+	0.107367i
$73$	−0.611552	−	2.28234i	−0.0715768	−	0.267128i	0.920859	−	0.389897i	$-0.127489\pi$
$73$	−0.611552	−	2.28234i	−0.0715768	−	0.267128i	−0.992435	+	0.122769i	$0.960823\pi$
$74$	−2.33206			−0.271096
$75$	7.03736			0.812605
$76$	−0.844368	−	3.15123i	−0.0968557	−	0.361470i
$77$	−9.36737	+	7.72999i	−1.06751	+	0.880915i
$78$	−0.998725	−	2.25859i	−0.113083	−	0.255735i
$79$	−2.13339	−	3.69514i	−0.240025	−	0.415736i	0.720696	−	0.693251i	$-0.243822\pi$
$79$	−2.13339	−	3.69514i	−0.240025	−	0.415736i	−0.960721	+	0.277516i	$0.910489\pi$
$80$	1.36321	−	5.08758i	0.152412	−	0.568809i
$81$	4.03849	+	6.99486i	0.448721	+	0.777207i
$82$	0.117342	−	0.203242i	0.0129582	−	0.0224443i
$83$	3.88518	+	3.88518i	0.426454	+	0.426454i	0.887419	−	0.460965i	$-0.152496\pi$
$83$	3.88518	+	3.88518i	0.426454	+	0.426454i	−0.460965	+	0.887419i	$0.652496\pi$
$84$	1.21706	−	12.7085i	0.132792	−	1.38661i
$85$	−0.897309	+	3.34880i	−0.0973268	+	0.363228i
$86$	−0.138903	+	0.518394i	−0.0149783	+	0.0558998i
$87$			14.4127i			1.54520i
$88$	−4.26455	+	2.46214i	−0.454603	+	0.262465i
$89$	−9.92055	+	9.92055i	−1.05158	+	1.05158i	−0.0529806	+	0.998596i	$0.516872\pi$
$89$	−9.92055	+	9.92055i	−1.05158	+	1.05158i	−0.998596	+	0.0529806i	$0.983128\pi$
$90$	−1.32768			−0.139950
$91$	9.52276	−	0.563113i	0.998256	−	0.0590303i
$92$	9.22757			0.962041
$93$	−10.4535	+	10.4535i	−1.08398	+	1.08398i
$94$	−1.90074	+	1.09739i	−0.196047	+	0.113188i
$95$		−	2.50878i		−	0.257395i
$96$	2.02234	−	7.54749i	0.206404	−	0.770312i
$97$	0.734114	−	2.73975i	0.0745380	−	0.278180i	−0.918590	−	0.395212i	$-0.870671\pi$
$97$	0.734114	−	2.73975i	0.0745380	−	0.278180i	0.993128	+	0.117032i	$0.0373380\pi$
$98$	−1.72027	−	0.836835i	−0.173774	−	0.0845331i
$99$	−10.6507	−	10.6507i	−1.07044	−	1.07044i
$100$	−2.70307	+	4.68185i	−0.270307	+	0.468185i
$101$	−5.32015	−	9.21476i	−0.529374	−	0.916903i	−0.999413	−	0.0342575i	$-0.989093\pi$
$101$	−5.32015	−	9.21476i	−0.529374	−	0.916903i	0.470039	−	0.882646i	$-0.344240\pi$
$102$	−0.415107	+	1.54920i	−0.0411017	+	0.153394i
$103$	8.60773	+	14.9090i	0.848145	+	1.46903i	0.882862	+	0.469633i	$0.155614\pi$
$103$	8.60773	+	14.9090i	0.848145	+	1.46903i	−0.0347173	+	0.999397i	$0.511053\pi$
$104$	3.84560	+	0.414061i	0.377092	+	0.0406020i
$105$	3.43342	−	9.19757i	0.335067	−	0.897591i
$106$	0.925366	+	3.45351i	0.0898794	+	0.335435i
$107$	−4.05690			−0.392195			−0.196097	−	0.980584i	$-0.562827\pi$
$107$	−4.05690			−0.392195			−0.196097	+	0.980584i	$0.562827\pi$
$108$	1.35736			0.130612
$109$	−2.05022	−	7.65154i	−0.196376	−	0.732885i	−0.991906	−	0.126971i	$-0.959474\pi$
$109$	−2.05022	−	7.65154i	−0.196376	−	0.732885i	0.795531	−	0.605914i	$-0.207192\pi$
$110$	−1.79407	+	0.480721i	−0.171058	+	0.0458349i
$111$	20.6579	+	5.53528i	1.96077	+	0.525385i
$112$	7.66540	+	5.46171i	0.724312	+	0.516083i
$113$	−9.23138	−	15.9892i	−0.868415	−	1.50414i	−0.863616	−	0.504150i	$-0.831806\pi$
$113$	−9.23138	−	15.9892i	−0.868415	−	1.50414i	−0.00479920	−	0.999988i	$-0.501528\pi$
$114$		−	1.16059i		−	0.108699i
$115$	6.85421	+	1.83658i	0.639159	+	0.171262i
$116$	−9.58853	−	5.53594i	−0.890272	−	0.513999i
$117$	1.82109	+	11.6899i	0.168360	+	1.08073i
$118$			0.423366i			0.0389740i
$119$	−5.04560	−	3.59506i	−0.462529	−	0.329559i
$120$	1.99030	−	3.44730i	0.181688	−	0.314694i
$121$	−8.72217	−	5.03575i	−0.792925	−	0.457795i
$122$	2.57647	−	0.690364i	0.233263	−	0.0625026i
$123$	−1.52185	+	1.52185i	−0.137220	+	0.137220i
$124$	−2.93933	−	10.9697i	−0.263960	−	0.985112i
$125$	−8.17426	+	8.17426i	−0.731128	+	0.731128i
$126$	0.829737	−	2.22273i	0.0739189	−	0.198017i
$127$	−2.52084	−	1.45541i	−0.223689	−	0.129147i	0.383968	−	0.923346i	$-0.374557\pi$
$127$	−2.52084	−	1.45541i	−0.223689	−	0.129147i	−0.607657	+	0.794200i	$0.707890\pi$
$128$	5.61935	+	5.61935i	0.496685	+	0.496685i
$129$	2.46088	−	4.26236i	0.216668	−	0.375280i
$130$	1.36065	+	0.526273i	0.119337	+	0.0461572i
$131$	−8.58252	+	4.95512i	−0.749858	+	0.432931i	−0.825643	−	0.564194i	$-0.809187\pi$
$131$	−8.58252	+	4.95512i	−0.749858	+	0.432931i	0.0757847	+	0.997124i	$0.475854\pi$
$132$	21.3953	−	5.73284i	1.86222	−	0.498980i
$133$	4.20005	+	1.56786i	0.364191	+	0.135951i
$134$	−0.129109	+	0.0745412i	−0.0111533	+	0.00643938i
$135$	1.00824	+	0.270158i	0.0867758	+	0.0232515i
$136$	−1.77623	−	1.77623i	−0.152310	−	0.152310i
$137$	−0.385142	−	0.385142i	−0.0329049	−	0.0329049i	0.690463	−	0.723368i	$-0.257407\pi$
$137$	−0.385142	−	0.385142i	−0.0329049	−	0.0329049i	−0.723368	+	0.690463i	$0.757407\pi$
$138$	3.17085	+	0.849626i	0.269921	+	0.0723250i
$139$	3.32499	−	1.91968i	0.282022	−	0.162825i	−0.352317	−	0.935881i	$-0.614606\pi$
$139$	3.32499	−	1.91968i	0.282022	−	0.162825i	0.634338	+	0.773056i	$0.281273\pi$
$140$	4.80022	+	5.81700i	0.405692	+	0.491627i
$141$	19.4420	−	5.20946i	1.63731	−	0.438716i
$142$	−0.433842	+	0.250479i	−0.0364072	+	0.0210197i
$143$	6.69342	+	15.1370i	0.559732	+	1.26582i
$144$	−5.83654	+	10.1092i	−0.486379	+	0.842433i
$145$	−6.02050	−	6.02050i	−0.499975	−	0.499975i
$146$	0.559228	+	0.322870i	0.0462820	+	0.0267210i
$147$	13.2523	+	11.4961i	1.09303	+	0.948179i
$148$	−11.6173	+	11.6173i	−0.954936	+	0.954936i
$149$	6.05379	+	22.5930i	0.495946	+	1.85089i	0.524668	+	0.851307i	$0.324189\pi$
$149$	6.05379	+	22.5930i	0.495946	+	1.85089i	−0.0287228	+	0.999587i	$0.509144\pi$
$150$	−1.35993	+	1.35993i	−0.111038	+	0.111038i
$151$	6.36774	−	1.70623i	0.518200	−	0.138851i	0.00976596	−	0.999952i	$-0.496891\pi$
$151$	6.36774	−	1.70623i	0.518200	−	0.138851i	0.508434	+	0.861101i	$0.330225\pi$
$152$	1.57420	+	0.908865i	0.127685	+	0.0737187i
$153$	3.84179	−	6.65417i	0.310590	−	0.537958i
$154$	0.316413	−	3.30396i	0.0254973	−	0.266241i
$155$		−	8.73331i		−	0.701476i
$156$	−16.2265	−	6.27608i	−1.29916	−	0.502488i
$157$	9.49287	+	5.48071i	0.757613	+	0.437408i	0.828438	−	0.560081i	$-0.189230\pi$
$157$	9.49287	+	5.48071i	0.757613	+	0.437408i	−0.0708249	+	0.997489i	$0.522563\pi$
$158$	1.12633	+	0.301799i	0.0896058	+	0.0240098i
$159$		−	32.7885i		−	2.60029i
$160$	2.30798	+	3.99754i	0.182462	+	0.316033i
$161$	−7.35825	+	10.3272i	−0.579911	+	0.813894i
$162$	−2.13213	−	0.571302i	−0.167516	−	0.0448857i
$163$	−3.73496	+	1.00078i	−0.292544	+	0.0783870i	−0.402106	−	0.915593i	$-0.631722\pi$
$163$	−3.73496	+	1.00078i	−0.292544	+	0.0783870i	0.109562	+	0.993980i	$0.465055\pi$
$164$	−0.427917	−	1.59701i	−0.0334147	−	0.124705i
$165$	17.0334			1.32605
$166$	−1.50158			−0.116545
$167$	−6.30900	−	23.5455i	−0.488205	−	1.82201i	−0.565172	−	0.824973i	$-0.691190\pi$
$167$	−6.30900	−	23.5455i	−0.488205	−	1.82201i	0.0769673	−	0.997034i	$-0.475476\pi$
$168$	4.52743	+	5.48643i	0.349299	+	0.423288i
$169$	2.76737	−	12.7020i	0.212875	−	0.977079i
$170$	−0.473736	−	0.820535i	−0.0363339	−	0.0629322i
$171$	−1.43905	+	5.37061i	−0.110047	+	0.410701i
$172$	1.89046	+	3.27436i	0.144146	+	0.249668i
$173$	−2.39991	+	4.15677i	−0.182462	+	0.316033i	−0.942718	−	0.333590i	$-0.891740\pi$
$173$	−2.39991	+	4.15677i	−0.182462	+	0.316033i	0.760257	+	0.649623i	$0.225073\pi$
$174$	−2.78516	−	2.78516i	−0.211143	−	0.211143i
$175$	−3.08427	−	6.75857i	−0.233149	−	0.510900i
$176$	−4.22653	+	15.7736i	−0.318587	+	1.18898i
$177$	1.00488	−	3.75028i	0.0755317	−	0.281888i
$178$		−	3.83417i		−	0.287383i
$179$	−9.64786	+	5.57019i	−0.721115	+	0.416336i	−0.815163	−	0.579232i	$-0.803353\pi$
$179$	−9.64786	+	5.57019i	−0.721115	+	0.416336i	0.0940481	+	0.995568i	$0.470019\pi$
$180$	−6.61394	+	6.61394i	−0.492974	+	0.492974i
$181$	4.32449			0.321437			0.160718	−	0.987000i	$-0.448619\pi$
$181$	4.32449			0.321437			0.160718	+	0.987000i	$0.448619\pi$
$182$	−1.73140	+	1.94903i	−0.128340	+	0.144472i
$183$	−24.4616			−1.80826
$184$	−3.63552	+	3.63552i	−0.268014	+	0.268014i
$185$	−10.9415	+	6.31708i	−0.804435	+	0.464441i
$186$		−	4.04014i		−	0.296238i
$187$	2.78203	−	10.3827i	0.203442	−	0.759256i
$188$	−4.00193	+	14.9354i	−0.291871	+	1.08928i
$189$	−1.08239	+	1.51911i	−0.0787320	+	0.110499i
$190$	0.484806	+	0.484806i	0.0351715	+	0.0351715i
$191$	3.15973	−	5.47282i	0.228630	−	0.395999i	−0.728772	−	0.684756i	$-0.759909\pi$
$191$	3.15973	−	5.47282i	0.228630	−	0.395999i	0.957402	+	0.288757i	$0.0932420\pi$
$192$	−7.84819	−	13.5935i	−0.566394	−	0.981024i
$193$	3.08313	−	11.5064i	0.221929	−	0.828250i	−0.761683	−	0.647950i	$-0.775627\pi$
$193$	3.08313	−	11.5064i	0.221929	−	0.828250i	0.983612	−	0.180300i	$-0.0577068\pi$
$194$	0.387577	+	0.671304i	0.0278264	+	0.0481968i
$195$	−10.8039	−	7.89144i	−0.773680	−	0.565118i
$196$	−12.7384	+	4.40091i	−0.909886	+	0.314351i
$197$	−0.533499	−	1.99105i	−0.0380103	−	0.141856i	0.944313	−	0.329048i	$-0.106728\pi$
$197$	−0.533499	−	1.99105i	−0.0380103	−	0.141856i	−0.982323	+	0.187192i	$0.940061\pi$
$198$	4.11637			0.292538
$199$	−18.5628			−1.31588			−0.657942	−	0.753068i	$-0.728573\pi$
$199$	−18.5628			−1.31588			−0.657942	+	0.753068i	$0.728573\pi$
$200$	−0.779609	−	2.90954i	−0.0551267	−	0.205736i
$201$	1.32061	−	0.353856i	0.0931485	−	0.0249591i
$202$	2.80878	+	0.752611i	0.197625	+	0.0529536i
$203$	13.8417	−	6.31666i	0.971497	−	0.443343i
$204$	5.64955	+	9.78531i	0.395548	+	0.685109i
$205$		−	1.27142i		−	0.0887999i
$206$	−4.54447	−	1.21769i	−0.316628	−	0.0848403i
$207$	−13.6195	−	7.86325i	−0.946624	−	0.546533i
$208$	9.98860	−	8.04671i	0.692585	−	0.557939i
$209$			7.77825i			0.538033i
$210$	1.11389	+	2.44086i	0.0768656	+	0.168435i
$211$	−1.40368	+	2.43124i	−0.0966332	+	0.167374i	−0.910289	−	0.413973i	$-0.864141\pi$
$211$	−1.40368	+	2.43124i	−0.0966332	+	0.167374i	0.813656	+	0.581347i	$0.197474\pi$
$212$	21.8136	+	12.5941i	1.49817	+	0.864967i
$213$	4.43761	−	1.18905i	0.304060	−	0.0814726i
$214$	0.783971	−	0.783971i	0.0535911	−	0.0535911i
$215$	0.752522	+	2.80845i	0.0513216	+	0.191535i
$216$	−0.534779	+	0.534779i	−0.0363871	+	0.0363871i
$217$	14.6208	+	5.45789i	0.992525	+	0.370506i
$218$	1.87481	+	1.08242i	0.126978	+	0.0733108i
$219$	−4.18743	−	4.18743i	−0.282960	−	0.282960i
$220$	−6.54255	+	11.3320i	−0.441099	+	0.764005i
$221$	−6.57480	+	5.29659i	−0.442269	+	0.356287i
$222$	−5.06168	+	2.92236i	−0.339718	+	0.196136i
$223$	−15.6678	+	4.19816i	−1.04919	+	0.281130i	−0.741917	−	0.670491i	$-0.766083\pi$
$223$	−15.6678	+	4.19816i	−1.04919	+	0.281130i	−0.307274	+	0.951621i	$0.599417\pi$
$224$	−8.13482	+	1.36562i	−0.543530	+	0.0912444i
$225$	7.97924	−	4.60682i	0.531950	−	0.307121i
$226$	4.87373	+	1.30591i	0.324196	+	0.0868679i
$227$	1.24111	+	1.24111i	0.0823752	+	0.0823752i	0.747094	−	0.664719i	$-0.231449\pi$
$227$	1.24111	+	1.24111i	0.0823752	+	0.0823752i	−0.664719	+	0.747094i	$0.731449\pi$
$228$	−5.78157	−	5.78157i	−0.382894	−	0.382894i
$229$	10.7645	+	2.88434i	0.711338	+	0.190602i	0.596304	−	0.802759i	$-0.296635\pi$
$229$	10.7645	+	2.88434i	0.711338	+	0.190602i	0.115034	+	0.993362i	$0.463302\pi$
$230$	−1.67944	+	0.969627i	−0.110739	+	0.0639353i
$231$	−10.6450	+	28.5163i	−0.700391	+	1.87623i
$232$	5.95880	−	1.59666i	0.391214	−	0.104826i
$233$	17.6370	−	10.1827i	1.15544	−	0.667091i	0.205230	−	0.978714i	$-0.434206\pi$
$233$	17.6370	−	10.1827i	1.15544	−	0.667091i	0.950206	+	0.311623i	$0.100872\pi$
$234$	−2.61092	−	1.90709i	−0.170681	−	0.124670i
$235$	−5.94525	+	10.2975i	−0.387825	+	0.671733i
$236$	2.10902	+	2.10902i	0.137286	+	0.137286i
$237$	−9.26095	−	5.34681i	−0.601563	−	0.347313i
$238$	1.66976	−	0.280308i	0.108234	−	0.0181697i
$239$	14.6160	−	14.6160i	0.945430	−	0.945430i	−0.0531558	−	0.998586i	$-0.516928\pi$
$239$	14.6160	−	14.6160i	0.945430	−	0.945430i	0.998586	+	0.0531558i	$0.0169280\pi$
$240$	−3.41656	−	12.7508i	−0.220538	−	0.823059i
$241$	10.0956	−	10.0956i	0.650314	−	0.650314i	−0.302755	−	0.953069i	$-0.597906\pi$
$241$	10.0956	−	10.0956i	0.650314	−	0.650314i	0.953069	+	0.302755i	$0.0979063\pi$
$242$	2.65863	−	0.712379i	0.170904	−	0.0457935i
$243$	19.3626	+	11.1790i	1.24211	+	0.717132i
$244$	9.39577	−	16.2740i	0.601503	−	1.04183i
$245$	−10.3380	+	0.733634i	−0.660468	+	0.0468702i
$246$		−	0.588176i		−	0.0375007i
$247$	3.60361	−	4.93356i	0.229292	−	0.313915i
$248$	5.47995	+	3.16385i	0.347977	+	0.200905i
$249$	13.3013	+	3.56408i	0.842937	+	0.225864i
$250$		−	3.15925i		−	0.199809i
$251$	−3.24540	−	5.62120i	−0.204848	−	0.354807i	0.745236	−	0.666801i	$-0.232337\pi$
$251$	−3.24540	−	5.62120i	−0.204848	−	0.354807i	−0.950084	+	0.311993i	$0.899003\pi$
$252$	−6.93929	−	15.2061i	−0.437134	−	0.957892i
$253$	−21.2509	−	5.69416i	−1.33603	−	0.357989i
$254$	0.768387	−	0.205889i	0.0482129	−	0.0129186i
$255$	2.24888	+	8.39294i	0.140830	+	0.525586i
$256$	10.3540			0.647123
$257$	−22.1961			−1.38455			−0.692277	−	0.721632i	$-0.743392\pi$
$257$	−22.1961			−1.38455			−0.692277	+	0.721632i	$0.743392\pi$
$258$	0.348126	+	1.29923i	0.0216734	+	0.0808862i
$259$	−3.73779	−	22.2655i	−0.232255	−	1.38351i
$260$	9.39984	−	4.15652i	0.582953	−	0.257776i
$261$	9.43486	+	16.3417i	0.584003	+	1.01152i
$262$	0.700973	−	2.61607i	0.0433062	−	0.161621i
$263$	−5.05320	−	8.75240i	−0.311594	−	0.539696i	0.667114	−	0.744956i	$-0.267529\pi$
$263$	−5.05320	−	8.75240i	−0.311594	−	0.539696i	−0.978708	+	0.205260i	$0.934196\pi$
$264$	−6.17075	+	10.6880i	−0.379783	+	0.657804i
$265$	13.6965	+	13.6965i	0.841368	+	0.841368i
$266$	−1.11461	+	0.508655i	−0.0683414	+	0.0311876i
$267$	−9.10063	+	33.9640i	−0.556950	+	2.07857i
$268$	−0.271834	+	1.01450i	−0.0166049	+	0.0619702i
$269$		−	10.3582i		−	0.631552i	−0.948834	−	0.315776i	$-0.897735\pi$
$269$		−	10.3582i		−	0.631552i	0.948834	−	0.315776i	$-0.102265\pi$
$270$	−0.247044	+	0.142631i	−0.0150346	+	0.00868022i
$271$	−2.31182	+	2.31182i	−0.140433	+	0.140433i	−0.773828	−	0.633395i	$-0.781661\pi$
$271$	−2.31182	+	2.31182i	−0.140433	+	0.140433i	0.633395	+	0.773828i	$0.281661\pi$
$272$	−8.33024			−0.505095
$273$	19.9633	−	13.1554i	1.20823	−	0.796203i
$274$	0.148853			0.00899252
$275$	9.11419	−	9.11419i	0.549606	−	0.549606i
$276$	20.0282	−	11.5633i	1.20556	−	0.696030i
$277$			16.6626i			1.00116i	0.865690	+	0.500580i	$0.166880\pi$
$277$			16.6626i			1.00116i	−0.865690	+	0.500580i	$0.833120\pi$
$278$	−0.271567	+	1.01350i	−0.0162875	+	0.0607857i
$279$	−5.00949	+	18.6957i	−0.299910	+	1.11928i
$280$	−4.18302	−	0.400598i	−0.249983	−	0.0239403i
$281$	8.02095	+	8.02095i	0.478490	+	0.478490i	0.904648	−	0.426159i	$-0.140134\pi$
$281$	8.02095	+	8.02095i	0.478490	+	0.478490i	−0.426159	+	0.904648i	$0.640134\pi$
$282$	−2.75035	+	4.76374i	−0.163781	+	0.283677i
$283$	7.22018	+	12.5057i	0.429195	+	0.743388i	0.996802	−	0.0799119i	$-0.0254639\pi$
$283$	7.22018	+	12.5057i	0.429195	+	0.743388i	−0.567607	+	0.823300i	$0.692131\pi$
$284$	−0.913435	+	3.40899i	−0.0542024	+	0.202286i
$285$	−3.14381	−	5.44525i	−0.186223	−	0.322549i
$286$	−4.21859	−	1.63166i	−0.249450	−	0.0964823i
$287$	2.12854	+	0.794576i	0.125644	+	0.0469023i
$288$	−2.64774	−	9.88151i	−0.156020	−	0.582274i
$289$	−11.5168			−0.677458
$290$	2.32685			0.136637
$291$	−1.83988	−	6.86651i	−0.107855	−	0.402522i
$292$	4.39423	−	1.17743i	0.257153	−	0.0689039i
$293$	15.9091	+	4.26283i	0.929420	+	0.249037i	0.691607	−	0.722274i	$-0.256903\pi$
$293$	15.9091	+	4.26283i	0.929420	+	0.249037i	0.237812	+	0.971311i	$0.423570\pi$
$294$	−4.78248	+	0.339389i	−0.278920	+	0.0197935i
$295$	1.14681	+	1.98634i	0.0667701	+	0.115649i
$296$		−	9.15406i		−	0.532069i
$297$	−3.12597	−	0.837602i	−0.181387	−	0.0486026i
$298$	−5.53583	−	3.19611i	−0.320682	−	0.185146i
$299$	10.8409	+	13.4571i	0.626944	+	0.778243i
$300$			13.5491i			0.782259i
$301$	−5.17204	−	0.495314i	−0.298111	−	0.0285494i
$302$	−0.900809	+	1.56025i	−0.0518357	+	0.0897821i
$303$	−23.0945	−	13.3336i	−1.32675	−	0.765997i
$304$	5.82261	−	1.56016i	0.333950	−	0.0894816i
$305$	10.2182	−	10.2182i	0.585092	−	0.585092i
$306$	0.543477	+	2.02828i	0.0310685	+	0.115949i
$307$	−8.27574	+	8.27574i	−0.472322	+	0.472322i	−0.902665	−	0.430344i	$-0.858392\pi$
$307$	−8.27574	+	8.27574i	−0.472322	+	0.472322i	0.430344	+	0.902665i	$0.358392\pi$
$308$	−14.8827	−	18.0351i	−0.848018	−	1.02765i
$309$	37.3658	+	21.5731i	2.12566	+	1.22725i
$310$	1.68766	+	1.68766i	0.0958526	+	0.0958526i
$311$	6.45124	−	11.1739i	0.365816	−	0.633612i	−0.623091	−	0.782150i	$-0.714123\pi$
$311$	6.45124	−	11.1739i	0.365816	−	0.633612i	0.988907	+	0.148538i	$0.0474566\pi$
$312$	8.86566	−	3.92031i	0.501919	−	0.221944i
$313$	5.16307	−	2.98090i	0.291834	−	0.168490i	−0.346935	−	0.937889i	$-0.612777\pi$
$313$	5.16307	−	2.98090i	0.291834	−	0.168490i	0.638769	+	0.769399i	$0.279444\pi$
$314$	−2.89355	+	0.775325i	−0.163293	+	0.0437541i
$315$	−2.12799	−	12.6762i	−0.119899	−	0.714221i
$316$	7.11430	−	4.10744i	0.400211	−	0.231062i
$317$	−12.4965	−	3.34843i	−0.701873	−	0.188066i	−0.109804	−	0.993953i	$-0.535022\pi$
$317$	−12.4965	−	3.34843i	−0.701873	−	0.188066i	−0.592070	+	0.805887i	$0.701689\pi$
$318$	6.33617	+	6.33617i	0.355315	+	0.355315i
$319$	18.6660	+	18.6660i	1.04510	+	1.04510i
$320$	8.95667	+	2.39993i	0.500693	+	0.134160i
$321$	−8.80540	+	5.08380i	−0.491470	+	0.283750i
$322$	−0.573725	−	3.41760i	−0.0319724	−	0.190455i
$323$	−3.83262	+	1.02695i	−0.213253	+	0.0571409i
$324$	−13.4673	+	7.77535i	−0.748184	+	0.431964i
$325$	−10.0035	+	1.55837i	−0.554892	+	0.0864429i
$326$	0.528363	−	0.915152i	0.0292633	−	0.0506856i
$327$	−14.0383	−	14.0383i	−0.776321	−	0.776321i
$328$	0.797788	+	0.460603i	0.0440505	+	0.0254325i
$329$	−13.5239	−	16.3886i	−0.745599	−	0.903533i
$330$	−3.29159	+	3.29159i	−0.181196	+	0.181196i
$331$	−2.58639	−	9.65252i	−0.142161	−	0.530551i	−0.999865	−	0.0164080i	$-0.994777\pi$
$331$	−2.58639	−	9.65252i	−0.142161	−	0.530551i	0.857705	−	0.514142i	$-0.171890\pi$
$332$	−7.48019	+	7.48019i	−0.410529	+	0.410529i
$333$	27.0463	−	7.24704i	1.48213	−	0.397135i
$334$	5.76920	+	3.33085i	0.315677	+	0.182256i
$335$	−0.403834	+	0.699462i	−0.0220638	+	0.0382157i
$336$	23.4818	+	2.24880i	1.28104	+	0.122682i
$337$			17.5327i			0.955069i	0.878613	+	0.477534i	$0.158469\pi$
$337$			17.5327i			0.955069i	−0.878613	+	0.477534i	$0.841531\pi$
$338$	1.91981	+	2.98937i	0.104424	+	0.162600i
$339$	−40.0730	−	23.1362i	−2.17647	−	1.25658i
$340$	−6.44749	−	1.72760i	−0.349664	−	0.0936923i
$341$			27.0769i			1.46630i
$342$	−0.759751	−	1.31593i	−0.0410826	−	0.0711572i
$343$	5.23251	−	17.7657i	0.282529	−	0.959259i
$344$	−2.03486	−	0.545238i	−0.109712	−	0.0293973i
$345$	17.1784	−	4.60294i	0.924853	−	0.247814i
$346$	−0.339502	−	1.26704i	−0.0182517	−	0.0681164i
$347$	−26.2542			−1.40940			−0.704700	−	0.709506i	$-0.748918\pi$
$347$	−26.2542			−1.40940			−0.704700	+	0.709506i	$0.748918\pi$
$348$	−27.7489			−1.48750
$349$	2.90133	+	10.8279i	0.155304	+	0.579604i	0.999079	+	0.0429064i	$0.0136617\pi$
$349$	2.90133	+	10.8279i	0.155304	+	0.579604i	−0.843775	+	0.536698i	$0.819672\pi$
$350$	1.90207	+	0.710035i	0.101670	+	0.0379530i
$351$	1.59468	+	1.97951i	0.0851175	+	0.105659i
$352$	−7.15569	−	12.3940i	−0.381399	−	0.660603i
$353$	1.81273	−	6.76519i	0.0964817	−	0.360075i	−0.900758	−	0.434321i	$-0.856988\pi$
$353$	1.81273	−	6.76519i	0.0964817	−	0.360075i	0.997240	+	0.0742463i	$0.0236551\pi$
$354$	0.530531	+	0.918907i	0.0281974	+	0.0488394i
$355$	−1.35699	+	2.35038i	−0.0720218	+	0.124745i
$356$	−19.1002	−	19.1002i	−1.01231	−	1.01231i
$357$	−15.4564	−	1.48023i	−0.818041	−	0.0783419i
$358$	0.787984	−	2.94080i	0.0416463	−	0.155426i
$359$	1.32297	−	4.93737i	0.0698234	−	0.260585i	−0.922186	−	0.386746i	$-0.873599\pi$
$359$	1.32297	−	4.93737i	0.0698234	−	0.260585i	0.992010	+	0.126161i	$0.0402657\pi$
$360$		−	5.21158i		−	0.274674i
$361$	−13.9679	+	8.06438i	−0.735154	+	0.424441i
$362$	−0.835682	+	0.835682i	−0.0439225	+	0.0439225i
$363$	−25.2417			−1.32485
$364$	1.08417	+	18.3343i	0.0568259	+	0.960978i
$365$	3.49837			0.183113
$366$	4.72707	−	4.72707i	0.247088	−	0.247088i
$367$	15.9153	−	9.18868i	0.830770	−	0.479645i	−0.0233461	−	0.999727i	$-0.507432\pi$
$367$	15.9153	−	9.18868i	0.830770	−	0.479645i	0.854116	+	0.520082i	$0.174099\pi$
$368$			17.0501i			0.888796i
$369$	−0.729296	+	2.72177i	−0.0379656	+	0.141690i
$370$	0.893642	−	3.33512i	0.0464582	−	0.173385i
$371$	−31.4895	+	14.3702i	−1.63485	+	0.746066i
$372$	−20.1262	−	20.1262i	−1.04350	−	1.04350i
$373$	−10.4260	+	18.0583i	−0.539837	+	0.935025i	0.459075	+	0.888397i	$0.348181\pi$
$373$	−10.4260	+	18.0583i	−0.539837	+	0.935025i	−0.998912	+	0.0466277i	$0.985153\pi$
$374$	1.46878	+	2.54400i	0.0759487	+	0.131547i
$375$	−7.49867	+	27.9854i	−0.387230	+	1.44516i
$376$	−4.30762	−	7.46101i	−0.222148	−	0.384772i
$377$	−3.19158	−	20.4873i	−0.164375	−	1.05515i
$378$	−0.0843940	−	0.502723i	−0.00434076	−	0.0258573i
$379$	7.22021	+	26.9462i	0.370877	+	1.38413i	0.859276	+	0.511512i	$0.170914\pi$
$379$	7.22021	+	26.9462i	0.370877	+	1.38413i	−0.488399	+	0.872620i	$0.662419\pi$
$380$	4.83018			0.247783
$381$	−7.29524			−0.373747
$382$	0.446990	+	1.66819i	0.0228700	+	0.0853520i
$383$	23.7412	−	6.36142i	1.21312	−	0.325054i	0.405132	−	0.914258i	$-0.367225\pi$
$383$	23.7412	−	6.36142i	1.21312	−	0.325054i	0.807984	+	0.589204i	$0.200559\pi$
$384$	19.2384	+	5.15492i	0.981758	+	0.263061i
$385$	−7.46523	−	16.3586i	−0.380464	−	0.833710i
$386$	1.62775	+	2.81934i	0.0828502	+	0.143501i
$387$		−	6.44378i		−	0.327556i
$388$	5.27488	+	1.41340i	0.267792	+	0.0717545i
$389$	21.2079	+	12.2444i	1.07528	+	0.620815i	0.929620	−	0.368519i	$-0.120135\pi$
$389$	21.2079	+	12.2444i	1.07528	+	0.620815i	0.145663	+	0.989334i	$0.453468\pi$
$390$	3.61275	−	0.562807i	0.182939	−	0.0284988i
$391$		−	11.2229i		−	0.567565i
$392$	3.28484	−	6.75262i	0.165909	−	0.341059i
$393$	−12.4188	+	21.5099i	−0.626444	+	1.08503i
$394$	0.487853	+	0.281662i	0.0245777	+	0.0141899i
$395$	6.10199	−	1.63502i	0.307025	−	0.0822670i
$396$	20.5060	−	20.5060i	1.03046	−	1.03046i
$397$	−5.01142	−	18.7029i	−0.251516	−	0.938671i	−0.969996	−	0.243122i	$-0.921828\pi$
$397$	−5.01142	−	18.7029i	−0.251516	−	0.938671i	0.718480	−	0.695548i	$-0.244838\pi$
$398$	3.58716	−	3.58716i	0.179808	−	0.179808i
$399$	11.0809	−	1.86018i	0.554736	−	0.0931256i
$400$	−8.65079	−	4.99454i	−0.432539	−	0.249727i
$401$	−9.35345	−	9.35345i	−0.467089	−	0.467089i	0.433881	−	0.900970i	$-0.357144\pi$
$401$	−9.35345	−	9.35345i	−0.467089	−	0.467089i	−0.900970	+	0.433881i	$0.857144\pi$
$402$	−0.186819	+	0.323580i	−0.00931768	+	0.0161387i
$403$	12.5445	−	17.1742i	0.624888	−	0.855509i
$404$	17.7413	−	10.2430i	0.882663	−	0.509606i
$405$	−11.5510	+	3.09509i	−0.573975	+	0.153796i
$406$	−1.45417	+	3.89548i	−0.0721691	+	0.193330i
$407$	33.9232	−	19.5856i	1.68151	−	0.970821i
$408$	−6.08109	−	1.62942i	−0.301059	−	0.0806685i
$409$	17.6086	+	17.6086i	0.870691	+	0.870691i	0.992548	−	0.121857i	$-0.0388848\pi$
$409$	17.6086	+	17.6086i	0.870691	+	0.870691i	−0.121857	+	0.992548i	$0.538885\pi$
$410$	0.245694	+	0.245694i	0.0121340	+	0.0121340i
$411$	−1.31857	−	0.353311i	−0.0650405	−	0.0174275i
$412$	−28.7045	+	16.5726i	−1.41417	+	0.816472i
$413$	−4.04212	+	0.678566i	−0.198900	+	0.0333900i
$414$	4.15142	−	1.11237i	0.204031	−	0.0546700i
$415$	−7.04506	+	4.06747i	−0.345828	+	0.199664i
$416$	−1.20338	+	11.1764i	−0.0590006	+	0.547969i
$417$	4.81121	−	8.33325i	0.235606	−	0.408081i
$418$	−1.50310	−	1.50310i	−0.0735190	−	0.0735190i
$419$	13.9899	+	8.07708i	0.683452	+	0.394591i	0.801154	−	0.598458i	$-0.204220\pi$
$419$	13.9899	+	8.07708i	0.683452	+	0.394591i	−0.117703	+	0.993049i	$0.537553\pi$
$420$	17.7082	+	6.61040i	0.864072	+	0.322555i
$421$	−12.8050	+	12.8050i	−0.624080	+	0.624080i	−0.946572	−	0.322492i	$-0.895479\pi$
$421$	−12.8050	+	12.8050i	−0.624080	+	0.624080i	0.322492	+	0.946572i	$0.395479\pi$
$422$	−0.198570	−	0.741075i	−0.00966626	−	0.0360750i
$423$	18.6339	−	18.6339i	0.906009	−	0.906009i
$424$	−13.5561	+	3.63235i	−0.658343	+	0.176403i
$425$	5.69421	+	3.28755i	0.276210	+	0.159470i
$426$	−0.627763	+	1.08732i	−0.0304152	+	0.0526807i
$427$	10.7208	+	23.4926i	0.518818	+	1.13689i
$428$		−	7.81080i		−	0.377549i
$429$	33.4964	+	24.4667i	1.61722	+	1.18127i
$430$	−0.688136	−	0.397296i	−0.0331849	−	0.0191593i
$431$	−21.5984	−	5.78727i	−1.04036	−	0.278763i	−0.302096	−	0.953278i	$-0.597686\pi$
$431$	−21.5984	−	5.78727i	−1.04036	−	0.278763i	−0.738261	+	0.674515i	$0.764353\pi$
$432$			2.50804i			0.120668i
$433$	−9.21467	−	15.9603i	−0.442829	−	0.767002i	0.555069	−	0.831804i	$-0.312692\pi$
$433$	−9.21467	−	15.9603i	−0.442829	−	0.767002i	−0.997898	+	0.0648019i	$0.979358\pi$
$434$	−3.88009	+	1.77068i	−0.186250	+	0.0849953i
$435$	−20.6118	−	5.52292i	−0.988261	−	0.264804i
$436$	14.7316	−	3.94732i	0.705517	−	0.189043i
$437$	2.10192	+	7.84448i	0.100549	+	0.375252i
$438$	1.61839			0.0773297
$439$	−15.6000			−0.744546			−0.372273	−	0.928123i	$-0.621421\pi$
$439$	−15.6000			−0.744546			−0.372273	+	0.928123i	$0.621421\pi$
$440$	−1.88698	−	7.04230i	−0.0899582	−	0.335729i
$441$	22.5516	+	4.35942i	1.07389	+	0.207591i
$442$	0.247006	−	2.29407i	0.0117489	−	0.109118i
$443$	14.7949	+	25.6255i	0.702926	+	1.21750i	0.967435	+	0.253120i	$0.0814567\pi$
$443$	14.7949	+	25.6255i	0.702926	+	1.21750i	−0.264509	+	0.964383i	$0.585210\pi$
$444$	−10.6571	+	39.7730i	−0.505766	+	1.88754i
$445$	−10.3860	−	17.9891i	−0.492344	−	0.852765i
$446$	2.21643	−	3.83897i	0.104951	−	0.181781i
$447$	41.4515	+	41.4515i	1.96059	+	1.96059i
$448$	−9.61531	+	13.4949i	−0.454280	+	0.637574i
$449$	−2.50811	+	9.36041i	−0.118365	+	0.441745i	−0.999517	−	0.0310893i	$-0.990102\pi$
$449$	−2.50811	+	9.36041i	−0.118365	+	0.441745i	0.881151	+	0.472834i	$0.156769\pi$
$450$	−0.651701	+	2.43218i	−0.0307215	+	0.114654i
$451$			3.94193i			0.185618i
$452$	30.7843	−	17.7733i	1.44797	−	0.835986i
$453$	11.6829	−	11.6829i	0.548912	−	0.548912i
$454$	−0.479673			−0.0225122
$455$	−2.84379	+	13.8344i	−0.133319	+	0.648569i
$456$	4.55569			0.213340
$457$	24.5102	−	24.5102i	1.14654	−	1.14654i	0.159312	−	0.987228i	$-0.449073\pi$
$457$	24.5102	−	24.5102i	1.14654	−	1.14654i	0.987228	−	0.159312i	$-0.0509275\pi$
$458$	−2.63756	+	1.52279i	−0.123245	+	0.0711555i
$459$		−	1.65087i		−	0.0770558i
$460$	−3.53599	+	13.1965i	−0.164867	+	0.615291i
$461$	2.45042	−	9.14508i	0.114127	−	0.425929i	−0.885093	−	0.465414i	$-0.845905\pi$
$461$	2.45042	−	9.14508i	0.114127	−	0.425929i	0.999220	+	0.0394858i	$0.0125720\pi$
$462$	−3.45351	−	7.56768i	−0.160672	−	0.352081i
$463$	3.59580	+	3.59580i	0.167111	+	0.167111i	0.785708	−	0.618597i	$-0.212299\pi$
$463$	3.59580	+	3.59580i	0.167111	+	0.167111i	−0.618597	+	0.785708i	$0.712299\pi$
$464$	10.2289	−	17.7170i	0.474866	−	0.822491i
$465$	−10.9439	−	18.9555i	−0.507513	−	0.879038i
$466$	−1.44049	+	5.37598i	−0.0667294	+	0.249038i
$467$	−12.0623	−	20.8926i	−0.558179	−	0.966794i	−0.997649	−	0.0685368i	$-0.978167\pi$
$467$	−12.0623	−	20.8926i	−0.558179	−	0.966794i	0.439470	−	0.898257i	$-0.355166\pi$
$468$	−22.5067	+	3.50617i	−1.04037	+	0.162073i
$469$	−0.918622	−	1.11321i	−0.0424180	−	0.0514031i
$470$	−0.841041	−	3.13881i	−0.0387943	−	0.144782i
$471$	27.4721			1.26585
$472$	−1.66184			−0.0764926
$473$	−2.33313	−	8.70736i	−0.107277	−	0.400365i
$474$	2.82286	−	0.756384i	0.129658	−	0.0347418i
$475$	−4.59582	−	1.23145i	−0.210871	−	0.0565027i
$476$	6.92162	−	9.71436i	0.317252	−	0.445257i
$477$	−21.4641	−	37.1769i	−0.982772	−	1.70221i
$478$			5.64891i			0.258375i
$479$	−23.6619	−	6.34020i	−1.08114	−	0.289691i	−0.326078	−	0.945343i	$-0.605727\pi$
$479$	−23.6619	−	6.34020i	−1.08114	−	0.289691i	−0.755063	+	0.655652i	$0.772394\pi$
$480$	10.0188	+	5.78437i	0.457295	+	0.264019i
$481$	−30.5905	−	3.29373i	−1.39481	−	0.150181i
$482$			3.90182i			0.177723i
$483$	−3.02968	+	31.6357i	−0.137855	+	1.43947i
$484$	9.69539	−	16.7929i	0.440700	−	0.763314i
$485$	3.63686	+	2.09974i	0.165141	+	0.0953443i
$486$	−5.90197	+	1.58143i	−0.267719	+	0.0717350i
$487$	−27.0263	+	27.0263i	−1.22468	+	1.22468i	−0.258727	+	0.965951i	$0.583303\pi$
$487$	−27.0263	+	27.0263i	−1.22468	+	1.22468i	−0.965951	+	0.258727i	$0.916697\pi$
$488$	2.70989	+	10.1135i	0.122671	+	0.457815i
$489$	−6.85254	+	6.85254i	−0.309883	+	0.309883i
$490$	1.85598	−	2.13952i	0.0838446	−	0.0966537i
$491$	10.2155	+	5.89793i	0.461020	+	0.266170i	0.712473	−	0.701700i	$-0.247575\pi$
$491$	10.2155	+	5.89793i	0.461020	+	0.266170i	−0.251453	+	0.967869i	$0.580908\pi$
$492$	−2.93003	−	2.93003i	−0.132096	−	0.132096i
$493$	−6.73298	+	11.6619i	−0.303238	+	0.525224i
$494$	0.257005	+	1.64976i	0.0115632	+	0.0742261i
$495$	19.3131	−	11.1504i	0.868060	−	0.501174i
$496$	20.2691	−	5.43109i	0.910110	−	0.243863i
$497$	−3.08682	−	3.74068i	−0.138463	−	0.167792i
$498$	−3.25914	+	1.88166i	−0.146045	+	0.0843193i
$499$	−14.7901	−	3.96298i	−0.662094	−	0.177408i	−0.0879031	−	0.996129i	$-0.528017\pi$
$499$	−14.7901	−	3.96298i	−0.662094	−	0.177408i	−0.574191	+	0.818722i	$0.694683\pi$
$500$	−15.7380	−	15.7380i	−0.703825	−	0.703825i
$501$	−43.1990	−	43.1990i	−1.92999	−	1.92999i
$502$	1.71342	+	0.459109i	0.0764736	+	0.0204910i
$503$	21.5683	−	12.4524i	0.961682	−	0.555227i	0.0649915	−	0.997886i	$-0.479298\pi$
$503$	21.5683	−	12.4524i	0.961682	−	0.555227i	0.896690	+	0.442659i	$0.145965\pi$
$504$	8.72492	+	3.25698i	0.388639	+	0.145077i
$505$	15.2169	−	4.07735i	0.677142	−	0.181440i
$506$	5.20697	−	3.00625i	0.231478	−	0.133644i
$507$	−9.91072	−	31.0374i	−0.440151	−	1.37842i
$508$	2.80212	−	4.85341i	0.124324	−	0.215335i
$509$	23.6813	+	23.6813i	1.04966	+	1.04966i	0.998701	+	0.0509546i	$0.0162264\pi$
$509$	23.6813	+	23.6813i	1.04966	+	1.04966i	0.0509546	+	0.998701i	$0.483774\pi$
$510$	−2.05647	−	1.18730i	−0.0910619	−	0.0525746i
$511$	−2.18631	+	5.85677i	−0.0967165	+	0.259088i
$512$	−13.2395	+	13.2395i	−0.585111	+	0.585111i
$513$	0.309189	+	1.15391i	0.0136510	+	0.0509464i
$514$	4.28926	−	4.28926i	0.189191	−	0.189191i
$515$	−24.6201	+	6.59694i	−1.08489	+	0.290696i
$516$	8.20638	+	4.73796i	0.361266	+	0.208577i
$517$	18.4327	−	31.9264i	0.810670	−	1.40412i
$518$	5.02498	+	3.58037i	0.220785	+	0.157312i
$519$			12.0296i			0.528039i
$520$	−2.06579	+	5.34099i	−0.0905907	+	0.234218i
$521$	19.8845	+	11.4803i	0.871155	+	0.502962i	0.867732	−	0.497032i	$-0.165577\pi$
$521$	19.8845	+	11.4803i	0.871155	+	0.502962i	0.00342331	+	0.999994i	$0.498910\pi$
$522$	−4.98116	−	1.33470i	−0.218019	−	0.0584181i
$523$			3.37998i			0.147796i	0.997266	+	0.0738980i	$0.0235439\pi$
$523$			3.37998i			0.147796i	−0.997266	+	0.0738980i	$0.976456\pi$
$524$	−9.54015	−	16.5240i	−0.416764	−	0.721856i
$525$	−15.1637	−	10.8043i	−0.661798	−	0.471540i
$526$	2.66785	+	0.714848i	0.116324	+	0.0311688i
$527$	−13.3417	+	3.57491i	−0.581175	+	0.155725i
$528$	10.5927	+	39.5327i	0.460990	+	1.72044i
$529$	0.0294194			0.00127910
$530$	−5.29353			−0.229936
$531$	−1.31564	−	4.91004i	−0.0570939	−	0.213078i
$532$	−3.01863	+	8.08642i	−0.130874	+	0.350591i
$533$	1.82627	−	2.50027i	0.0791046	−	0.108299i
$534$	−4.80470	−	8.32199i	−0.207920	−	0.360128i
$535$	1.55460	−	5.80184i	0.0672111	−	0.250835i
$536$	−0.292598	−	0.506794i	−0.0126383	−	0.0218902i
$537$	−13.9603	+	24.1800i	−0.602432	+	1.04344i
$538$	2.00167	+	2.00167i	0.0862979	+	0.0862979i
$539$	32.0520	−	2.27457i	1.38058	−	0.0979726i
$540$	−0.520139	+	1.94119i	−0.0223832	+	0.0835353i
$541$	−8.32634	+	31.0743i	−0.357977	+	1.33599i	0.518719	+	0.854945i	$0.326409\pi$
$541$	−8.32634	+	31.0743i	−0.357977	+	1.33599i	−0.876696	+	0.481044i	$0.840258\pi$
$542$		−	0.893492i		−	0.0383788i
$543$	9.38621	−	5.41913i	0.402801	−	0.232557i
$544$	5.16222	−	5.16222i	0.221328	−	0.221328i
$545$	11.7282			0.502383
$546$	−1.31557	+	6.39999i	−0.0563014	+	0.273894i
$547$	−13.1782			−0.563460			−0.281730	−	0.959494i	$-0.590908\pi$
$547$	−13.1782			−0.563460			−0.281730	+	0.959494i	$0.590908\pi$
$548$	0.741519	−	0.741519i	0.0316761	−	0.0316761i
$549$	−27.7356	+	16.0132i	−1.18373	+	0.683425i
$550$			3.52252i			0.150201i
$551$	2.52203	−	9.41234i	0.107442	−	0.400979i
$552$	−3.33505	+	12.4466i	−0.141949	+	0.529761i
$553$	−1.07618	+	11.2374i	−0.0457639	+	0.477864i
$554$	−3.21995	−	3.21995i	−0.136803	−	0.136803i
$555$	−15.8322	+	27.4222i	−0.672039	+	1.16401i
$556$	3.69599	+	6.40164i	0.156745	+	0.271490i
$557$	−1.05682	+	3.94410i	−0.0447788	+	0.167117i	−0.984694	−	0.174290i	$-0.944237\pi$
$557$	−1.05682	+	3.94410i	−0.0447788	+	0.167117i	0.939916	+	0.341407i	$0.110903\pi$
$558$	−2.64477	−	4.58088i	−0.111962	−	0.193924i
$559$	−2.55421	+	6.60379i	−0.108032	+	0.279311i
$560$	−10.7483	+	8.86951i	−0.454197	+	0.374805i
$561$	−6.97247	−	26.0216i	−0.294378	−	1.09863i
$562$	−3.10000			−0.130766
$563$	20.4603			0.862298			0.431149	−	0.902281i	$-0.358108\pi$
$563$	20.4603			0.862298			0.431149	+	0.902281i	$0.358108\pi$
$564$	10.0298	+	37.4319i	0.422333	+	1.57617i
$565$	26.4039	−	7.07491i	1.11082	−	0.297644i
$566$	−3.81191	−	1.02140i	−0.160227	−	0.0429326i
$567$	2.03720	−	21.2723i	0.0855545	−	0.893354i
$568$	−0.983208	−	1.70297i	−0.0412545	−	0.0714549i
$569$			9.24906i			0.387741i	0.981027	+	0.193870i	$0.0621041\pi$
$569$			9.24906i			0.387741i	−0.981027	+	0.193870i	$0.937896\pi$
$570$	1.65978	+	0.444738i	0.0695207	+	0.0186280i
$571$	35.2658	+	20.3607i	1.47583	+	0.852069i	0.999628	−	0.0272690i	$-0.00868107\pi$
$571$	35.2658	+	20.3607i	1.47583	+	0.852069i	0.476198	+	0.879338i	$0.342014\pi$
$572$	−29.1434	+	12.8869i	−1.21855	+	0.538830i
$573$		−	15.8382i		−	0.661650i
$574$	−0.564875	+	0.257781i	−0.0235774	+	0.0107596i
$575$	6.72885	−	11.6547i	0.280613	−	0.486035i
$576$	−17.7972	−	10.2752i	−0.741549	−	0.428134i
$577$	10.5574	−	2.82885i	0.439511	−	0.117767i	−0.0322762	−	0.999479i	$-0.510276\pi$
$577$	10.5574	−	2.82885i	0.439511	−	0.117767i	0.471788	+	0.881712i	$0.343609\pi$
$578$	2.22555	−	2.22555i	0.0925706	−	0.0925706i
$579$	−7.72711	−	28.8380i	−0.321128	−	1.19847i
$580$	11.5914	−	11.5914i	0.481305	−	0.481305i
$581$	−2.40670	−	14.3364i	−0.0998469	−	0.594774i
$582$	1.68246	+	0.971367i	0.0697401	+	0.0402644i
$583$	−42.4648	−	42.4648i	−1.75871	−	1.75871i
$584$	−1.26737	+	2.19515i	−0.0524441	+	0.0908358i
$585$	−17.4158	−	1.87518i	−0.720053	−	0.0775292i
$586$	−3.89810	+	2.25057i	−0.161029	+	0.0929703i
$587$	15.6037	−	4.18099i	0.644033	−	0.172568i	0.0780032	−	0.996953i	$-0.475146\pi$
$587$	15.6037	−	4.18099i	0.644033	−	0.172568i	0.566029	+	0.824385i	$0.308479\pi$
$588$	−22.1335	+	25.5149i	−0.912771	+	1.05222i
$589$	8.65597	−	4.99753i	0.356663	−	0.205920i
$590$	−0.605463	−	0.162233i	−0.0249265	−	0.00667904i
$591$	−3.65298	−	3.65298i	−0.150264	−	0.150264i
$592$	−21.4656	−	21.4656i	−0.882232	−	0.882232i
$593$	−44.6856	−	11.9735i	−1.83502	−	0.491691i	−0.836594	−	0.547824i	$-0.815456\pi$
$593$	−44.6856	−	11.9735i	−1.83502	−	0.491691i	−0.998423	+	0.0561324i	$0.982123\pi$
$594$	0.765937	−	0.442214i	0.0314268	−	0.0181443i
$595$	7.07482	−	5.83818i	0.290040	−	0.239342i
$596$	−43.4987	+	11.6554i	−1.78178	+	0.477425i
$597$	−40.2902	+	23.2616i	−1.64897	+	0.952033i
$598$	−4.69543	−	0.505564i	−0.192011	−	0.0206741i
$599$	5.89887	−	10.2171i	0.241021	−	0.417461i	−0.719984	−	0.693990i	$-0.755851\pi$
$599$	5.89887	−	10.2171i	0.241021	−	0.417461i	0.961005	+	0.276529i	$0.0891843\pi$
$600$	−5.33814	−	5.33814i	−0.217929	−	0.217929i
$601$	11.5727	+	6.68152i	0.472062	+	0.272545i	0.717102	−	0.696968i	$-0.245468\pi$
$601$	11.5727	+	6.68152i	0.472062	+	0.272545i	−0.245041	+	0.969513i	$0.578801\pi$
$602$	1.09518	−	0.903748i	0.0446363	−	0.0368340i
$603$	1.26572	−	1.26572i	0.0515439	−	0.0515439i
$604$	3.28503	+	12.2599i	0.133666	+	0.498848i
$605$	10.5440	−	10.5440i	0.428676	−	0.428676i
$606$	7.03952	−	1.88623i	0.285961	−	0.0766230i
$607$	29.5465	+	17.0587i	1.19926	+	0.692392i	0.960390	−	0.278660i	$-0.0898904\pi$
$607$	29.5465	+	17.0587i	1.19926	+	0.692392i	0.238868	+	0.971052i	$0.423224\pi$
$608$	−2.64142	+	4.57508i	−0.107124	+	0.185544i
$609$	22.1275	−	31.0556i	0.896653	−	1.25844i
$610$			3.94921i			0.159899i
$611$	−26.4827	+	11.7104i	−1.07138	+	0.473753i
$612$	12.8114	+	7.39665i	0.517869	+	0.298992i
$613$	3.92990	+	1.05301i	0.158727	+	0.0425308i	0.337307	−	0.941395i	$-0.390484\pi$
$613$	3.92990	+	1.05301i	0.158727	+	0.0425308i	−0.178580	+	0.983925i	$0.557150\pi$
$614$		−	3.19847i		−	0.129080i
$615$	−1.59325	−	2.75959i	−0.0642461	−	0.111277i
$616$	12.9691	+	1.24202i	0.522540	+	0.0500424i
$617$	−17.7169	−	4.74724i	−0.713257	−	0.191117i	−0.116096	−	0.993238i	$-0.537038\pi$
$617$	−17.7169	−	4.74724i	−0.713257	−	0.191117i	−0.597161	+	0.802121i	$0.703705\pi$
$618$	−11.3896	+	3.05183i	−0.458156	+	0.122763i
$619$	−9.38547	−	35.0270i	−0.377234	−	1.40786i	−0.850053	−	0.526697i	$-0.823430\pi$
$619$	−9.38547	−	35.0270i	−0.377234	−	1.40786i	0.472820	−	0.881159i	$-0.343236\pi$
$620$	16.8144			0.675281
$621$	−3.37894			−0.135592
$622$	0.912620	+	3.40595i	0.0365927	+	0.136566i
$623$	36.6071	−	6.14536i	1.46663	−	0.246209i
$624$	11.5965	−	29.9822i	0.464231	−	1.20025i
$625$	−1.53798	−	2.66385i	−0.0615191	−	0.106554i
$626$	−0.421691	+	1.57377i	−0.0168542	+	0.0629006i
$627$	9.74713	+	16.8825i	0.389263	+	0.674223i
$628$	−10.5521	+	18.2767i	−0.421074	+	0.729321i
$629$	14.1293	+	14.1293i	0.563373	+	0.563373i
$630$	2.86081	+	2.03837i	0.113978	+	0.0812106i
$631$	6.52992	−	24.3700i	0.259952	−	0.970153i	−0.705316	−	0.708893i	$-0.749195\pi$
$631$	6.52992	−	24.3700i	0.259952	−	0.970153i	0.965268	−	0.261261i	$-0.0841383\pi$
$632$	−1.18465	+	4.42119i	−0.0471230	+	0.175866i
$633$			7.03594i			0.279654i
$634$	3.06194	−	1.76781i	0.121605	−	0.0702087i
$635$	3.04739	−	3.04739i	0.120932	−	0.120932i
$636$	63.1280			2.50319
$637$	−21.3836	−	13.4068i	−0.847249	−	0.531195i
$638$	−7.21420			−0.285613
$639$	4.25315	−	4.25315i	0.168252	−	0.168252i
$640$	−10.1897	+	5.88301i	−0.402782	+	0.232546i
$641$			11.3468i			0.448171i	0.974570	+	0.224085i	$0.0719394\pi$
$641$			11.3468i			0.448171i	−0.974570	+	0.224085i	$0.928061\pi$
$642$	0.719177	−	2.68401i	0.0283837	−	0.105929i
$643$	−2.92632	+	10.9212i	−0.115403	+	0.430690i	−0.999317	−	0.0369602i	$-0.988233\pi$
$643$	−2.92632	+	10.9212i	−0.115403	+	0.430690i	0.883914	+	0.467650i	$0.154899\pi$
$644$	−19.8830	−	14.1669i	−0.783501	−	0.558255i
$645$	5.15267	+	5.15267i	0.202886	+	0.202886i
$646$	0.542179	−	0.939082i	0.0213318	−	0.0369477i
$647$	9.64081	+	16.6984i	0.379020	+	0.656481i	0.990920	−	0.134454i	$-0.0429280\pi$
$647$	9.64081	+	16.6984i	0.379020	+	0.656481i	−0.611900	+	0.790935i	$0.709595\pi$
$648$	2.24254	−	8.36927i	0.0880953	−	0.328776i
$649$	−3.55560	−	6.15848i	−0.139569	−	0.241741i
$650$	1.63196	−	2.23425i	0.0640108	−	0.0876346i
$651$	38.5736	−	6.47549i	1.51182	−	0.253794i
$652$	−1.92681	−	7.19096i	−0.0754598	−	0.281620i
$653$	3.98817			0.156069			0.0780346	−	0.996951i	$-0.475136\pi$
$653$	3.98817			0.156069			0.0780346	+	0.996951i	$0.475136\pi$
$654$	5.42564			0.212159
$655$	−3.79759	−	14.1728i	−0.148384	−	0.553777i
$656$	2.95084	−	0.790674i	0.115211	−	0.0308706i
$657$	−7.48906	−	2.00669i	−0.292176	−	0.0782883i
$658$	5.78042	+	0.553578i	0.225344	+	0.0215807i
$659$	−13.3526	−	23.1273i	−0.520143	−	0.900913i	−0.999726	−	0.0234170i	$-0.992545\pi$
$659$	−13.3526	−	23.1273i	−0.520143	−	0.900913i	0.479583	−	0.877496i	$-0.340788\pi$
$660$			32.7946i			1.27653i
$661$	13.7159	+	3.67516i	0.533486	+	0.142947i	0.515498	−	0.856891i	$-0.327607\pi$
$661$	13.7159	+	3.67516i	0.533486	+	0.142947i	0.0179886	+	0.999838i	$0.494274\pi$
$662$	2.36509	+	1.36549i	0.0919220	+	0.0530712i
$663$	−7.63316	+	19.7352i	−0.296447	+	0.766451i
$664$		−	5.89415i		−	0.228738i
$665$	−3.85168	+	5.40576i	−0.149362	+	0.209627i
$666$	−3.82609	+	6.62699i	−0.148258	+	0.256790i
$667$	23.8691	+	13.7808i	0.924216	+	0.533596i
$668$	45.3325	−	12.1468i	1.75397	−	0.469974i
$669$	−28.7457	+	28.7457i	−1.11137	+	1.11137i
$670$	−0.0571282	−	0.213205i	−0.00220705	−	0.00823684i
$671$	−31.6806	+	31.6806i	−1.22302	+	1.22302i
$672$	−15.9451	+	13.1580i	−0.615097	+	0.507581i
$673$	34.5521	+	19.9487i	1.33189	+	0.768965i	0.985589	−	0.169159i	$-0.0541052\pi$
$673$	34.5521	+	19.9487i	1.33189	+	0.768965i	0.346298	+	0.938124i	$0.387439\pi$
$674$	−3.38809	−	3.38809i	−0.130505	−	0.130505i
$675$	0.989804	−	1.71439i	0.0380976	−	0.0659869i
$676$	24.4554	+	5.32806i	0.940592	+	0.204926i
$677$	5.68825	−	3.28411i	0.218617	−	0.126219i	−0.386693	−	0.922209i	$-0.626383\pi$
$677$	5.68825	−	3.28411i	0.218617	−	0.126219i	0.605310	+	0.795990i	$0.293049\pi$
$678$	12.2148	−	3.27294i	0.469106	−	0.125697i
$679$	−5.78812	+	4.77638i	−0.222128	+	0.183301i
$680$	3.22086	−	1.85956i	0.123514	−	0.0713110i
$681$	4.24906	+	1.13853i	0.162824	+	0.0436286i
$682$	−5.23244	−	5.23244i	−0.200361	−	0.200361i
$683$	8.25678	+	8.25678i	0.315937	+	0.315937i	0.847204	−	0.531267i	$-0.178284\pi$
$683$	8.25678	+	8.25678i	0.315937	+	0.315937i	−0.531267	+	0.847204i	$0.678284\pi$
$684$	−10.3401	−	2.77063i	−0.395364	−	0.105938i
$685$	0.698384	−	0.403212i	0.0266839	−	0.0154060i
$686$	2.42197	+	4.44427i	0.0924711	+	0.169683i
$687$	26.9785	−	7.22888i	1.02930	−	0.275799i
$688$	−6.05014	+	3.49305i	−0.230659	+	0.133171i
$689$	7.26076	+	46.6080i	0.276613	+	1.77563i
$690$	−2.43013	+	4.20911i	−0.0925135	+	0.160238i
$691$	13.9233	+	13.9233i	0.529669	+	0.529669i	0.920474	−	0.390805i	$-0.127803\pi$
$691$	13.9233	+	13.9233i	0.529669	+	0.529669i	−0.390805	+	0.920474i	$0.627803\pi$
$692$	−8.00308	−	4.62058i	−0.304231	−	0.175648i
$693$	6.59766	+	39.3014i	0.250625	+	1.49294i
$694$	5.07347	−	5.07347i	0.192586	−	0.192586i
$695$	1.47124	+	5.49074i	0.0558073	+	0.208276i
$696$	10.9326	−	10.9326i	0.414400	−	0.414400i
$697$	−1.94233	+	0.520446i	−0.0735710	+	0.0197133i
$698$	−2.65309	−	1.53176i	−0.100421	−	0.0579780i
$699$	25.5204	−	44.2027i	0.965271	−	1.67190i
$700$	13.0124	−	5.93820i	0.491821	−	0.224443i
$701$		−	1.58634i		−	0.0599153i	−0.999551	−	0.0299577i	$-0.990463\pi$
$701$		−	1.58634i		−	0.0599153i	0.999551	−	0.0299577i	$-0.00953725\pi$
$702$	−0.690691	−	0.0743677i	−0.0260684	−	0.00280683i
$703$	−12.5223	−	7.22974i	−0.472287	−	0.272675i
$704$	−27.7694	−	7.44078i	−1.04660	−	0.280435i
$705$			29.8006i			1.12235i
$706$	0.957033	+	1.65763i	0.0360184	+	0.0623857i
$707$	−2.68373	+	28.0234i	−0.100932	+	1.05393i
$708$	7.22047	+	1.93472i	0.271362	+	0.0727111i
$709$	16.6679	−	4.46614i	0.625975	−	0.167730i	0.0681325	−	0.997676i	$-0.478296\pi$
$709$	16.6679	−	4.46614i	0.625975	−	0.167730i	0.557843	+	0.829947i	$0.311629\pi$
$710$	−0.191966	−	0.716428i	−0.00720437	−	0.0268871i
$711$	−14.0006			−0.525063
$712$	15.0503			0.564035
$713$	7.31700	+	27.3074i	0.274024	+	1.02267i
$714$	3.27291	−	2.70082i	0.122485	−	0.101075i
$715$	−24.2125	+	3.77191i	−0.905498	+	0.141061i
$716$	−10.7244	−	18.5751i	−0.400788	−	0.694186i
$717$	13.4080	−	50.0394i	0.500732	−	1.86876i
$718$	0.698463	+	1.20977i	0.0260664	+	0.0451483i
$719$	11.5856	−	20.0668i	0.432069	−	0.748365i	−0.564983	−	0.825103i	$-0.691117\pi$
$719$	11.5856	−	20.0668i	0.432069	−	0.748365i	0.997051	+	0.0767379i	$0.0244505\pi$
$720$	−12.2208	−	12.2208i	−0.455441	−	0.455441i
$721$	4.34215	−	45.3404i	0.161710	−	1.68856i
$722$	1.14082	−	4.25761i	0.0424570	−	0.158452i
$723$	9.26120	−	34.5633i	0.344428	−	1.28542i
$724$			8.32600i			0.309433i
$725$	−13.9841	+	8.07374i	−0.519358	+	0.299851i
$726$	4.87781	−	4.87781i	0.181032	−	0.181032i
$727$	−18.3365			−0.680062			−0.340031	−	0.940414i	$-0.610438\pi$
$727$	−18.3365			−0.680062			−0.340031	+	0.940414i	$0.610438\pi$
$728$	−7.65057	−	6.79628i	−0.283549	−	0.251887i
$729$	31.8037			1.17792
$730$	−0.676038	+	0.676038i	−0.0250213	+	0.0250213i
$731$	3.98239	−	2.29923i	0.147294	−	0.0850401i
$732$		−	47.0963i		−	1.74073i
$733$	−5.26026	+	19.6316i	−0.194292	+	0.725108i	0.798157	+	0.602450i	$0.205809\pi$
$733$	−5.26026	+	19.6316i	−0.194292	+	0.725108i	−0.992449	+	0.122658i	$0.960858\pi$
$734$	−1.29987	+	4.85119i	−0.0479791	+	0.179061i
$735$	−21.5190	+	14.5471i	−0.793740	+	0.536578i
$736$	−10.5659	−	10.5659i	−0.389463	−	0.389463i
$737$	1.25205	−	2.16862i	0.0461200	−	0.0798822i
$738$	−0.385033	−	0.666897i	−0.0141733	−	0.0245488i
$739$	−8.59704	+	32.0846i	−0.316247	+	1.18025i	0.606576	+	0.795026i	$0.292543\pi$
$739$	−8.59704	+	32.0846i	−0.316247	+	1.18025i	−0.922823	+	0.385225i	$0.874124\pi$
$740$	−12.1624	−	21.0658i	−0.447097	−	0.774395i
$741$	1.63919	−	15.2240i	0.0602170	−	0.559266i
$742$	3.30819	−	8.86212i	0.121448	−	0.325339i
$743$	1.88756	+	7.04445i	0.0692477	+	0.258436i	0.991868	−	0.127275i	$-0.0406230\pi$
$743$	1.88756	+	7.04445i	0.0692477	+	0.258436i	−0.922620	+	0.385711i	$0.873956\pi$
$744$	15.8588			0.581413
$745$	−34.6305			−1.26876
$746$	−1.47491	−	5.50442i	−0.0540001	−	0.201531i
$747$	17.4147	−	4.66625i	0.637170	−	0.170729i
$748$	19.9899	+	5.35628i	0.730903	+	0.195845i
$749$	8.74156	+	6.22848i	0.319410	+	0.227584i
$750$	−3.95894	−	6.85709i	−0.144560	−	0.250385i
$751$			7.15760i			0.261185i	0.991436	+	0.130592i	$0.0416879\pi$
$751$			7.15760i			0.261185i	−0.991436	+	0.130592i	$0.958312\pi$
$752$	−27.5966	−	7.39449i	−1.00634	−	0.269649i
$753$	−14.0882	−	8.13380i	−0.513401	−	0.296412i
$754$	4.57580	+	3.34229i	0.166641	+	0.121719i
$755$			9.76045i			0.355219i
$756$	−2.92476	−	2.08393i	−0.106373	−	0.0757919i
$757$	7.08185	−	12.2661i	0.257394	−	0.445820i	−0.708149	−	0.706063i	$-0.750469\pi$
$757$	7.08185	−	12.2661i	0.257394	−	0.445820i	0.965543	+	0.260243i	$0.0838027\pi$
$758$	−6.60245	−	3.81192i	−0.239812	−	0.138455i
$759$	−53.2601	+	14.2710i	−1.93322	+	0.518005i
$760$	−1.90302	+	1.90302i	−0.0690296	+	0.0690296i
$761$	3.73637	+	13.9443i	0.135443	+	0.505481i	0.999996	+	0.00293843i	$0.000935334\pi$
$761$	3.73637	+	13.9443i	0.135443	+	0.505481i	−0.864552	+	0.502543i	$0.832398\pi$
$762$	1.40976	−	1.40976i	0.0510703	−	0.0510703i
$763$	−7.32958	+	19.6348i	−0.265349	+	0.710826i
$764$	10.5369	+	6.08348i	0.381212	+	0.220093i
$765$	8.04408	+	8.04408i	0.290834	+	0.290834i
$766$	−3.35853	+	5.81714i	−0.121349	+	0.210182i
$767$	−0.597949	+	5.55346i	−0.0215907	+	0.200524i
$768$	22.4731	−	12.9748i	0.810926	−	0.468189i
$769$	−48.9223	+	13.1087i	−1.76418	+	0.472711i	−0.987559	−	0.157252i	$-0.949737\pi$
$769$	−48.9223	+	13.1087i	−1.76418	+	0.472711i	−0.776625	+	0.629963i	$0.783070\pi$
$770$	4.60381	+	1.71858i	0.165910	+	0.0619334i
$771$	−48.1761	+	27.8145i	−1.73502	+	1.00171i
$772$	22.1535	+	5.93600i	0.797320	+	0.213641i
$773$	−8.28259	−	8.28259i	−0.297904	−	0.297904i	0.542288	−	0.840192i	$-0.317558\pi$
$773$	−8.28259	−	8.28259i	−0.297904	−	0.297904i	−0.840192	+	0.542288i	$0.817558\pi$
$774$	1.24522	+	1.24522i	0.0447586	+	0.0447586i
$775$	−15.9985	−	4.28679i	−0.574684	−	0.153986i
$776$	−2.63508	+	1.52136i	−0.0945938	+	0.0546137i
$777$	−36.0143	−	43.6429i	−1.29201	−	1.56568i
$778$	−6.46445	+	1.73215i	−0.231762	+	0.0621004i
$779$	1.26016	−	0.727555i	0.0451500	−	0.0260674i
$780$	15.1935	−	20.8008i	0.544015	−	0.744789i
$781$	4.20725	−	7.28716i	0.150547	−	0.260755i
$782$	2.16875	+	2.16875i	0.0775544	+	0.0775544i
$783$	3.51111	+	2.02714i	0.125477	+	0.0724441i
$784$	−8.13169	−	23.5371i	−0.290417	−	0.840611i
$785$	−11.4757	+	11.4757i	−0.409586	+	0.409586i
$786$	−1.75681	−	6.55652i	−0.0626635	−	0.233863i
$787$	−24.8664	+	24.8664i	−0.886390	+	0.886390i	−0.994174	−	0.107784i	$-0.965624\pi$
$787$	−24.8664	+	24.8664i	−0.886390	+	0.886390i	0.107784	+	0.994174i	$0.465624\pi$
$788$	3.83339	−	1.02715i	0.136559	−	0.0365908i
$789$	−21.9357	−	12.6646i	−0.780932	−	0.450871i
$790$	−0.863215	+	1.49513i	−0.0307118	+	0.0531944i
$791$	−4.65674	+	48.6254i	−0.165575	+	1.72892i
$792$			16.1580i			0.574151i
$793$	34.7717	−	5.41685i	1.23478	−	0.192358i
$794$	4.58265	+	2.64579i	0.162632	+	0.0938956i
$795$	46.8913	+	12.5645i	1.66306	+	0.445617i
$796$		−	35.7393i		−	1.26675i
$797$	4.21417	+	7.29915i	0.149273	+	0.258549i	0.930959	−	0.365123i	$-0.118973\pi$
$797$	4.21417	+	7.29915i	0.149273	+	0.258549i	−0.781686	+	0.623673i	$0.785640\pi$
$798$	−1.78184	+	2.50078i	−0.0630764	+	0.0885265i
$799$	18.1649	+	4.86727i	0.642629	+	0.172192i
$800$	8.45596	−	2.26577i	0.298963	−	0.0801069i
$801$	11.9150	+	44.4673i	0.420995	+	1.57117i
$802$	3.61499			0.127650
$803$	−10.8464			−0.382761
$804$	0.681283	+	2.54258i	0.0240270	+	0.0896700i
$805$	−11.9494	−	14.4805i	−0.421160	−	0.510371i
$806$	0.894660	+	5.74297i	0.0315130	+	0.202288i
$807$	−12.9802	−	22.4823i	−0.456924	−	0.791415i
$808$	−2.95424	+	11.0254i	−0.103930	+	0.387871i
$809$	−19.4561	−	33.6989i	−0.684040	−	1.18479i	−0.973738	−	0.227673i	$-0.926888\pi$
$809$	−19.4561	−	33.6989i	−0.684040	−	1.18479i	0.289698	−	0.957118i	$-0.406445\pi$
$810$	1.63406	−	2.83027i	0.0574149	−	0.0994456i
$811$	−33.4503	−	33.4503i	−1.17460	−	1.17460i	−0.981101	−	0.193499i	$-0.938016\pi$
$811$	−33.4503	−	33.4503i	−1.17460	−	1.17460i	−0.193499	−	0.981101i	$-0.561984\pi$
$812$	12.1616	+	26.6496i	0.426787	+	0.935218i
$813$	−2.12076	+	7.91477i	−0.0743782	+	0.277583i
$814$	−2.77066	+	10.3402i	−0.0971116	+	0.362425i
$815$		−	5.72492i		−	0.200535i
$816$	−18.0806	+	10.4388i	−0.632948	+	0.365433i
$817$	−2.35296	+	2.35296i	−0.0823196	+	0.0823196i
$818$	−6.80553			−0.237950
$819$	14.0233	−	27.9846i	0.490014	−	0.977860i
$820$	2.44788			0.0854838
$821$	−33.6195	+	33.6195i	−1.17333	+	1.17333i	−0.191918	+	0.981411i	$0.561471\pi$
$821$	−33.6195	+	33.6195i	−1.17333	+	1.17333i	−0.981411	+	0.191918i	$0.938529\pi$
$822$	0.323082	−	0.186531i	0.0112688	−	0.00650603i
$823$		−	36.4458i		−	1.27042i	−0.772340	−	0.635210i	$-0.780914\pi$
$823$		−	36.4458i		−	1.27042i	0.772340	−	0.635210i	$-0.219086\pi$
$824$	4.77980	−	17.8385i	0.166512	−	0.621433i
$825$	8.36092	−	31.2034i	0.291090	−	1.08636i
$826$	0.649987	−	0.912244i	0.0226159	−	0.0317410i
$827$	4.04107	+	4.04107i	0.140522	+	0.140522i	0.773868	−	0.633347i	$-0.218319\pi$
$827$	4.04107	+	4.04107i	0.140522	+	0.140522i	−0.633347	+	0.773868i	$0.718319\pi$
$828$	15.1392	−	26.2219i	0.526124	−	0.911274i
$829$	−17.7840	−	30.8028i	−0.617664	−	1.06983i	−0.989911	−	0.141692i	$-0.954746\pi$
$829$	−17.7840	−	30.8028i	−0.617664	−	1.06983i	0.372247	−	0.928134i	$-0.378588\pi$
$830$	0.575402	−	2.14743i	0.0199725	−	0.0745383i
$831$	20.8804	+	36.1659i	0.724332	+	1.25458i
$832$	14.1662	+	17.5849i	0.491124	+	0.609646i
$833$	5.35252	+	15.4928i	0.185454	+	0.536795i
$834$	0.680614	+	2.54009i	0.0235677	+	0.0879560i
$835$	36.0904			1.24896
$836$	−14.9756			−0.517941
$837$	1.07632	+	4.01688i	0.0372030	+	0.138844i
$838$	−4.26431	+	1.14262i	−0.147308	+	0.0394711i
$839$	−14.5158	−	3.88950i	−0.501142	−	0.134280i	−0.000611847	−	1.00000i	$-0.500195\pi$
$839$	−14.5158	−	3.88950i	−0.501142	−	0.134280i	−0.500530	+	0.865719i	$0.666861\pi$
$840$	−9.58115	+	4.37236i	−0.330581	+	0.150861i
$841$	−2.03520	−	3.52507i	−0.0701793	−	0.121554i
$842$		−	4.94900i		−	0.170554i
$843$	27.4605	+	7.35803i	0.945791	+	0.253424i
$844$	−4.68090	−	2.70252i	−0.161123	−	0.0930246i
$845$	17.1049	+	8.82507i	0.588428	+	0.303592i
$846$			7.20176i			0.247602i
$847$	11.0627	+	24.2417i	0.380119	+	0.832956i
$848$	−23.2705	+	40.3057i	−0.799113	+	1.38410i
$849$	31.3425	+	18.0956i	1.07567	+	0.621039i
$850$	−1.73567	+	0.465072i	−0.0595331	+	0.0159518i
$851$	28.9194	−	28.9194i	0.991345	−	0.991345i
$852$	2.28930	+	8.54378i	0.0784301	+	0.292705i
$853$	11.5963	−	11.5963i	0.397050	−	0.397050i	−0.480141	−	0.877191i	$-0.659415\pi$
$853$	11.5963	−	11.5963i	0.397050	−	0.397050i	0.877191	+	0.480141i	$0.159415\pi$
$854$	−6.61154	−	2.46806i	−0.226242	−	0.0844553i
$855$	−7.12916	−	4.11603i	−0.243812	−	0.140765i
$856$	3.07733	+	3.07733i	0.105181	+	0.105181i
$857$	−23.4161	+	40.5579i	−0.799880	+	1.38543i	0.119814	+	0.992796i	$0.461770\pi$
$857$	−23.4161	+	40.5579i	−0.799880	+	1.38543i	−0.919694	+	0.392637i	$0.871563\pi$
$858$	−11.2010	+	1.74493i	−0.382397	+	0.0595711i
$859$	−17.1191	+	9.88371i	−0.584095	+	0.337228i	−0.762759	−	0.646683i	$-0.776156\pi$
$859$	−17.1191	+	9.88371i	−0.584095	+	0.337228i	0.178664	+	0.983910i	$0.442823\pi$
$860$	−5.40715	+	1.44884i	−0.184382	+	0.0494050i
$861$	5.61565	−	0.942720i	0.191381	−	0.0321278i
$862$	5.29211	−	3.05540i	0.180250	−	0.104067i
$863$	−6.94395	−	1.86062i	−0.236375	−	0.0633364i	0.138687	−	0.990336i	$-0.455712\pi$
$863$	−6.94395	−	1.86062i	−0.236375	−	0.0633364i	−0.375062	+	0.927000i	$0.622378\pi$
$864$	−1.55422	−	1.55422i	−0.0528757	−	0.0528757i
$865$	−5.02502	−	5.02502i	−0.170856	−	0.170856i
$866$	4.86491	+	1.30355i	0.165316	+	0.0442964i
$867$	−24.9969	+	14.4320i	−0.848940	+	0.490136i
$868$	−10.5082	+	28.1496i	−0.356670	+	0.955461i
$869$	−18.9187	+	5.06925i	−0.641773	+	0.171963i
$870$	5.05038	−	2.91584i	0.171224	−	0.0988562i
$871$	−1.79886	+	0.795437i	−0.0609519	+	0.0269523i
$872$	−4.24884	+	7.35921i	−0.143884	+	0.249214i
$873$	−6.58110	−	6.58110i	−0.222736	−	0.222736i
$874$	−1.92208	−	1.10971i	−0.0650154	−	0.0375366i
$875$	30.1632	−	5.06361i	1.01970	−	0.171181i
$876$	8.06211	−	8.06211i	0.272393	−	0.272393i
$877$	−8.22456	−	30.6945i	−0.277724	−	1.03648i	−0.953994	−	0.299825i	$-0.903072\pi$
$877$	−8.22456	−	30.6945i	−0.277724	−	1.03648i	0.676270	−	0.736653i	$-0.263595\pi$
$878$	3.01460	−	3.01460i	0.101738	−	0.101738i
$879$	39.8722	−	10.6837i	1.34486	−	0.360353i
$880$	−20.9385	−	12.0889i	−0.705838	−	0.407516i
$881$	−8.45038	+	14.6365i	−0.284701	+	0.493116i	−0.972537	−	0.232750i	$-0.925228\pi$
$881$	−8.45038	+	14.6365i	−0.284701	+	0.493116i	0.687836	+	0.725866i	$0.258561\pi$
$882$	−5.20039	+	3.51553i	−0.175106	+	0.118374i
$883$		−	21.1502i		−	0.711760i	−0.934532	−	0.355880i	$-0.884181\pi$
$883$		−	21.1502i		−	0.711760i	0.934532	−	0.355880i	$-0.115819\pi$
$884$	−10.1976	−	12.6585i	−0.342982	−	0.425753i
$885$	4.97827	+	2.87421i	0.167343	+	0.0966154i
$886$	−7.81099	−	2.09295i	−0.262415	−	0.0703140i
$887$			10.2044i			0.342631i	0.985216	+	0.171316i	$0.0548018\pi$
$887$			10.2044i			0.342631i	−0.985216	+	0.171316i	$0.945198\pi$
$888$	−11.4712	−	19.8687i	−0.384948	−	0.666750i
$889$	3.19730	+	7.00623i	0.107234	+	0.234982i
$890$	5.48332	+	1.46925i	0.183801	+	0.0492494i
$891$	35.8129	−	9.59605i	1.19978	−	0.321480i
$892$	−8.08278	−	30.1654i	−0.270632	−	1.01001i
$893$	−13.6084			−0.455387
$894$	−16.0205			−0.535806
$895$	−4.26898	−	15.9321i	−0.142696	−	0.532550i
$896$	−3.48095	−	20.7355i	−0.116290	−	0.692726i
$897$	40.3933	+	15.6233i	1.34869	+	0.521647i
$898$	−1.32416	−	2.29352i	−0.0441879	−	0.0765357i
$899$	8.77944	−	32.7653i	0.292811	−	1.09278i
$900$	8.86957	+	15.3625i	0.295652	+	0.512085i
$901$	15.3174	−	26.5304i	0.510295	−	0.883857i
$902$	−0.761755	−	0.761755i	−0.0253637	−	0.0253637i
$903$	−11.8465	+	5.40614i	−0.394226	+	0.179905i
$904$	−5.12611	+	19.1309i	−0.170492	+	0.636285i
$905$	−1.65714	+	6.18453i	−0.0550852	+	0.205581i
$906$			4.51531i			0.150011i
$907$	13.5900	−	7.84622i	0.451250	−	0.260529i	−0.257108	−	0.966383i	$-0.582770\pi$
$907$	13.5900	−	7.84622i	0.451250	−	0.260529i	0.708358	+	0.705853i	$0.249436\pi$
$908$	−2.38952	+	2.38952i	−0.0792990	+	0.0792990i
$909$	−34.9140			−1.15802
$910$	−2.12388	−	3.22297i	−0.0704059	−	0.106840i
$911$	−23.8232			−0.789296			−0.394648	−	0.918832i	$-0.629134\pi$
$911$	−23.8232			−0.789296			−0.394648	+	0.918832i	$0.629134\pi$
$912$	10.6828	−	10.6828i	0.353742	−	0.353742i
$913$	21.8426	−	12.6108i	0.722885	−	0.417358i
$914$			9.47291i			0.313336i
$915$	9.37367	−	34.9830i	0.309884	−	1.15650i
$916$	−5.55326	+	20.7250i	−0.183485	+	0.684774i
$917$	26.1006	+	2.49960i	0.861918	+	0.0825439i
$918$	0.319020	+	0.319020i	0.0105292	+	0.0105292i
$919$	4.01647	−	6.95674i	0.132491	−	0.229482i	−0.792145	−	0.610333i	$-0.791036\pi$
$919$	4.01647	−	6.95674i	0.132491	−	0.229482i	0.924636	+	0.380851i	$0.124369\pi$
$920$	−3.80609	−	6.59234i	−0.125483	−	0.217343i
$921$	−7.59177	+	28.3329i	−0.250157	+	0.933600i
$922$	1.29370	+	2.24076i	0.0426058	+	0.0737955i
$923$	−6.04465	+	2.67289i	−0.198962	+	0.0879791i
$924$	−54.9028	−	20.4950i	−1.80617	−	0.674236i
$925$	6.20155	+	23.1445i	0.203906	+	0.760986i
$926$	−1.38973			−0.0456695
$927$	56.4891			1.85534
$928$	4.64034	+	17.3180i	0.152327	+	0.568491i
$929$	−12.3985	+	3.32217i	−0.406781	+	0.108997i	−0.456407	−	0.889771i	$-0.650864\pi$
$929$	−12.3985	+	3.32217i	−0.406781	+	0.108997i	0.0496256	+	0.998768i	$0.484197\pi$
$930$	5.77788	+	1.54818i	0.189464	+	0.0507668i
$931$	−6.64291	−	9.82661i	−0.217713	−	0.322054i
$932$	19.6049	+	33.9567i	0.642180	+	1.11229i
$933$		−	32.3369i		−	1.05866i
$934$	6.36835	+	1.70639i	0.208379	+	0.0558349i
$935$	13.7824	+	7.95725i	0.450732	+	0.260230i
$936$	7.48592	−	10.2487i	0.244685	−	0.334988i
$937$			19.3918i			0.633501i	0.948509	+	0.316751i	$0.102592\pi$
$937$			19.3918i			0.633501i	−0.948509	+	0.316751i	$0.897408\pi$
$938$	0.392638	+	0.0376021i	0.0128201	+	0.00122775i
$939$	7.47089	−	12.9400i	0.243803	−	0.422279i
$940$	−19.8259	−	11.4465i	−0.646648	−	0.373342i
$941$	−2.57085	+	0.688857i	−0.0838073	+	0.0224561i	−0.300479	−	0.953788i	$-0.597147\pi$
$941$	−2.57085	+	0.688857i	−0.0838073	+	0.0224561i	0.216672	+	0.976245i	$0.430480\pi$
$942$	−5.30881	+	5.30881i	−0.172970	+	0.172970i
$943$	1.06523	+	3.97550i	0.0346887	+	0.129460i
$944$	−3.89691	+	3.89691i	−0.126834	+	0.126834i
$945$	−1.75773	−	2.13006i	−0.0571791	−	0.0692909i
$946$	2.13351	+	1.23178i	0.0693663	+	0.0400487i
$947$	14.2267	+	14.2267i	0.462307	+	0.462307i	0.899411	−	0.437104i	$-0.143996\pi$
$947$	14.2267	+	14.2267i	0.462307	+	0.462307i	−0.437104	+	0.899411i	$0.643996\pi$
$948$	10.2943	−	17.8302i	0.334343	−	0.579099i
$949$	6.87961	+	5.02506i	0.223321	+	0.163120i
$950$	1.12608	−	0.650145i	0.0365350	−	0.0210935i
$951$	−31.3194	+	8.39200i	−1.01560	+	0.272129i
$952$	1.10030	+	6.55431i	0.0356608	+	0.212426i
$953$	24.0417	−	13.8805i	0.778788	−	0.449634i	−0.0572123	−	0.998362i	$-0.518221\pi$
$953$	24.0417	−	13.8805i	0.778788	−	0.449634i	0.836001	+	0.548728i	$0.184888\pi$
$954$	11.3320	+	3.03640i	0.366887	+	0.0983071i
$955$	6.61597	+	6.61597i	0.214088	+	0.214088i
$956$	28.1404	+	28.1404i	0.910125	+	0.910125i
$957$	63.9052	+	17.1233i	2.06576	+	0.553519i
$958$	5.79773	−	3.34732i	0.187316	−	0.108147i
$959$	0.238579	+	1.42118i	0.00770413	+	0.0458924i
$960$	22.4477	−	6.01483i	0.724495	−	0.194128i
$961$	3.28554	−	1.89691i	0.105985	−	0.0611906i
$962$	6.54793	−	5.27495i	0.211114	−	0.170071i
$963$	−6.65595	+	11.5284i	−0.214485	+	0.371499i
$964$	19.4372	+	19.4372i	0.626029	+	0.626029i
$965$	15.2741	+	8.81849i	0.491690	+	0.283877i
$966$	−5.52794	−	6.69887i	−0.177859	−	0.215533i
$967$	−4.10934	+	4.10934i	−0.132147	+	0.132147i	−0.770087	−	0.637939i	$-0.779787\pi$
$967$	−4.10934	+	4.10934i	−0.132147	+	0.132147i	0.637939	+	0.770087i	$0.279787\pi$
$968$	2.79631	+	10.4360i	0.0898768	+	0.335425i
$969$	−7.03172	+	7.03172i	−0.225891	+	0.225891i
$970$	−1.10856	+	0.297038i	−0.0355938	+	0.00953733i
$971$	−18.8523	−	10.8844i	−0.604999	−	0.349296i	0.166007	−	0.986125i	$-0.446913\pi$
$971$	−18.8523	−	10.8844i	−0.604999	−	0.349296i	−0.771006	+	0.636828i	$0.780246\pi$
$972$	−21.5230	+	37.2790i	−0.690352	+	1.19572i
$973$	−10.1117	−	0.968378i	−0.324167	−	0.0310448i
$974$		−	10.4453i		−	0.334690i
$975$	−19.7594	+	15.9180i	−0.632809	+	0.509784i
$976$	30.0699	+	17.3608i	0.962513	+	0.555707i
$977$	8.93483	+	2.39408i	0.285850	+	0.0765934i	0.398895	−	0.916996i	$-0.369394\pi$
$977$	8.93483	+	2.39408i	0.285850	+	0.0765934i	−0.113045	+	0.993590i	$0.536060\pi$
$978$		−	2.64842i		−	0.0846873i
$979$	32.2009	+	55.7736i	1.02915	+	1.78253i
$980$	−1.41248	−	19.9038i	−0.0451199	−	0.635804i
$981$	−25.1070	−	6.72740i	−0.801605	−	0.214789i
$982$	−3.11383	+	0.834347i	−0.0993662	+	0.0266251i
$983$	−14.2329	−	53.1178i	−0.453958	−	1.69420i	−0.691132	−	0.722729i	$-0.742888\pi$
$983$	−14.2329	−	53.1178i	−0.453958	−	1.69420i	0.237174	−	0.971467i	$-0.423779\pi$
$984$	2.30877			0.0736010
$985$	3.05187			0.0972406
$986$	−0.952477	−	3.55469i	−0.0303331	−	0.113205i
$987$	−49.8904	−	18.6239i	−1.58803	−	0.592805i
$988$	9.49865	+	6.93808i	0.302192	+	0.220730i
$989$	−4.70599	−	8.15101i	−0.149642	−	0.259187i
$990$	−1.57739	+	5.88689i	−0.0501327	+	0.187098i
$991$	2.34950	+	4.06946i	0.0746345	+	0.129271i	0.900927	−	0.433970i	$-0.142888\pi$
$991$	2.34950	+	4.06946i	0.0746345	+	0.129271i	−0.826293	+	0.563241i	$0.809554\pi$
$992$	−9.19506	+	15.9263i	−0.291944	+	0.505661i
$993$	−17.7095	−	17.7095i	−0.561995	−	0.561995i
$994$	1.31937	+	0.126353i	0.0418480	+	0.00400769i
$995$	7.11326	−	26.5470i	0.225505	−	0.841598i
$996$	−6.86197	+	25.6092i	−0.217430	+	0.811459i
$997$			16.8903i			0.534921i	0.963569	+	0.267461i	$0.0861845\pi$
$997$			16.8903i			0.534921i	−0.963569	+	0.267461i	$0.913816\pi$
$998$	3.62391	−	2.09227i	0.114713	−	0.0662295i
$999$	4.25400	−	4.25400i	0.134591	−	0.134591i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	91.2.ba.a.45.4	yes	28
3.2	odd	2		819.2.et.b.136.4		28
7.2	even	3		637.2.x.a.19.4		28
7.3	odd	6		637.2.bd.a.97.4		28
7.4	even	3		637.2.bd.b.97.4		28
7.5	odd	6		91.2.w.a.19.4	✓	28
7.6	odd	2		637.2.bb.a.227.4		28
13.11	odd	12		91.2.w.a.24.4	yes	28
21.5	even	6		819.2.gh.b.19.4		28
39.11	even	12		819.2.gh.b.388.4		28
91.11	odd	12		637.2.bd.a.440.4		28
91.24	even	12		637.2.bd.b.440.4		28
91.37	odd	12		637.2.bb.a.362.4		28
91.76	even	12		637.2.x.a.570.4		28
91.89	even	12	inner	91.2.ba.a.89.4	yes	28
273.89	odd	12		819.2.et.b.271.4		28

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
91.2.w.a.19.4	✓	28	7.5	odd	6
91.2.w.a.24.4	yes	28	13.11	odd	12
91.2.ba.a.45.4	yes	28	1.1	even	1	trivial
91.2.ba.a.89.4	yes	28	91.89	even	12	inner
637.2.x.a.19.4		28	7.2	even	3
637.2.x.a.570.4		28	91.76	even	12
637.2.bb.a.227.4		28	7.6	odd	2
637.2.bb.a.362.4		28	91.37	odd	12
637.2.bd.a.97.4		28	7.3	odd	6
637.2.bd.a.440.4		28	91.11	odd	12
637.2.bd.b.97.4		28	7.4	even	3
637.2.bd.b.440.4		28	91.24	even	12
819.2.et.b.136.4		28	3.2	odd	2
819.2.et.b.271.4		28	273.89	odd	12
819.2.gh.b.19.4		28	21.5	even	6
819.2.gh.b.388.4		28	39.11	even	12

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:	\( N \)	\(=\)	\( 91 = 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	91.ba (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.193244 + 0.193244i) q^{2} +(2.17048 - 1.25313i) q^{3} +1.92531i q^{4} +(-0.383199 + 1.43012i) q^{5} +(-0.177273 + 0.661591i) q^{6} +(-2.15474 - 1.53528i) q^{7} +(-0.758543 - 0.758543i) q^{8} +(1.64065 - 2.84169i) q^{9} +O(q^{10})\)	\(q+(-0.193244 + 0.193244i) q^{2} +(2.17048 - 1.25313i) q^{3} +1.92531i q^{4} +(-0.383199 + 1.43012i) q^{5} +(-0.177273 + 0.661591i) q^{6} +(-2.15474 - 1.53528i) q^{7} +(-0.758543 - 0.758543i) q^{8} +(1.64065 - 2.84169i) q^{9} +(-0.202311 - 0.350412i) q^{10} +(1.18808 - 4.43396i) q^{11} +(2.41266 + 4.17885i) q^{12} +(-2.80779 + 2.26193i) q^{13} +(0.713075 - 0.119706i) q^{14} +(0.960393 + 3.58423i) q^{15} -3.55746 q^{16} +2.34163 q^{17} +(0.232094 + 0.866185i) q^{18} +(-1.63673 + 0.438561i) q^{19} +(-2.75342 - 0.737778i) q^{20} +(-6.60072 - 0.632136i) q^{21} +(0.627247 + 1.08642i) q^{22} -4.79276i q^{23} +(-2.59695 - 0.695851i) q^{24} +(2.43173 + 1.40396i) q^{25} +(0.105485 - 0.979692i) q^{26} -0.705008i q^{27} +(2.95590 - 4.14855i) q^{28} +(-2.87534 + 4.98024i) q^{29} +(-0.878222 - 0.507042i) q^{30} +(-5.69764 + 1.52668i) q^{31} +(2.20454 - 2.20454i) q^{32} +(-2.97762 - 11.1126i) q^{33} +(-0.452505 + 0.452505i) q^{34} +(3.02133 - 2.49321i) q^{35} +(5.47114 + 3.15877i) q^{36} +(6.03398 + 6.03398i) q^{37} +(0.231540 - 0.401038i) q^{38} +(-3.25977 + 8.42798i) q^{39} +(1.37548 - 0.794133i) q^{40} +(-0.829479 + 0.222258i) q^{41} +(1.39771 - 1.15339i) q^{42} +(1.70069 - 0.981895i) q^{43} +(8.53676 + 2.28742i) q^{44} +(3.43525 + 3.43525i) q^{45} +(0.926173 + 0.926173i) q^{46} +(7.75739 + 2.07859i) q^{47} +(-7.72139 + 4.45794i) q^{48} +(2.28581 + 6.61627i) q^{49} +(-0.741225 + 0.198611i) q^{50} +(5.08245 - 2.93435i) q^{51} +(-4.35492 - 5.40588i) q^{52} +(6.54133 - 11.3299i) q^{53} +(0.136239 + 0.136239i) q^{54} +(5.88581 + 3.39817i) q^{55} +(0.469885 + 2.79904i) q^{56} +(-3.00292 + 3.00292i) q^{57} +(-0.406759 - 1.51804i) q^{58} +(1.09542 - 1.09542i) q^{59} +(-6.90078 + 1.84906i) q^{60} +(-8.45262 - 4.88012i) q^{61} +(0.806013 - 1.39606i) q^{62} +(-7.89797 + 3.60424i) q^{63} -6.26289i q^{64} +(-2.15888 - 4.88224i) q^{65} +(2.72285 + 1.57204i) q^{66} +(0.526925 + 0.141189i) q^{67} +4.50837i q^{68} +(-6.00594 - 10.4026i) q^{69} +(-0.102055 + 1.06565i) q^{70} +(1.77061 + 0.474435i) q^{71} +(-3.40005 + 0.911040i) q^{72} +(-0.611552 - 2.28234i) q^{73} -2.33206 q^{74} +7.03736 q^{75} +(-0.844368 - 3.15123i) q^{76} +(-9.36737 + 7.72999i) q^{77} +(-0.998725 - 2.25859i) q^{78} +(-2.13339 - 3.69514i) q^{79} +(1.36321 - 5.08758i) q^{80} +(4.03849 + 6.99486i) q^{81} +(0.117342 - 0.203242i) q^{82} +(3.88518 + 3.88518i) q^{83} +(1.21706 - 12.7085i) q^{84} +(-0.897309 + 3.34880i) q^{85} +(-0.138903 + 0.518394i) q^{86} +14.4127i q^{87} +(-4.26455 + 2.46214i) q^{88} +(-9.92055 + 9.92055i) q^{89} -1.32768 q^{90} +(9.52276 - 0.563113i) q^{91} +9.22757 q^{92} +(-10.4535 + 10.4535i) q^{93} +(-1.90074 + 1.09739i) q^{94} -2.50878i q^{95} +(2.02234 - 7.54749i) q^{96} +(0.734114 - 2.73975i) q^{97} +(-1.72027 - 0.836835i) q^{98} +(-10.6507 - 10.6507i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 28 q - 2 q^{2} - 6 q^{3} - 6 q^{5} - 12 q^{6} - 6 q^{7} - 4 q^{8} + 6 q^{9}+O(q^{10}) \) 28 * q - 2 * q^2 - 6 * q^3 - 6 * q^5 - 12 * q^6 - 6 * q^7 - 4 * q^8 + 6 * q^9	\( 28 q - 2 q^{2} - 6 q^{3} - 6 q^{5} - 12 q^{6} - 6 q^{7} - 4 q^{8} + 6 q^{9} - 6 q^{10} + 2 q^{11} - 8 q^{12} - 20 q^{14} + 10 q^{15} + 4 q^{16} - 12 q^{17} + 2 q^{18} + 14 q^{19} + 36 q^{20} - 6 q^{21} - 8 q^{22} - 18 q^{24} + 24 q^{26} + 2 q^{28} - 8 q^{29} - 30 q^{30} - 4 q^{31} + 10 q^{32} - 12 q^{33} - 12 q^{34} - 20 q^{35} + 54 q^{36} - 10 q^{37} - 20 q^{39} + 48 q^{40} - 18 q^{41} - 10 q^{42} + 48 q^{43} - 6 q^{44} - 6 q^{45} + 24 q^{46} - 6 q^{47} - 12 q^{48} - 50 q^{49} + 10 q^{50} - 12 q^{51} - 26 q^{52} + 12 q^{53} - 30 q^{54} + 6 q^{55} + 54 q^{56} + 12 q^{57} - 46 q^{58} + 42 q^{59} + 10 q^{60} + 30 q^{61} + 36 q^{62} + 54 q^{63} + 28 q^{65} + 66 q^{66} - 10 q^{67} - 42 q^{69} - 88 q^{70} - 42 q^{71} + 46 q^{72} + 40 q^{73} + 12 q^{74} - 40 q^{75} - 52 q^{76} - 62 q^{78} + 4 q^{79} + 30 q^{80} - 6 q^{81} - 54 q^{82} + 66 q^{83} + 104 q^{84} - 54 q^{85} - 18 q^{86} - 6 q^{88} + 72 q^{90} + 26 q^{91} - 156 q^{92} + 20 q^{93} - 18 q^{94} - 66 q^{96} - 62 q^{97} - 56 q^{98} - 36 q^{99}+O(q^{100}) \) 28 * q - 2 * q^2 - 6 * q^3 - 6 * q^5 - 12 * q^6 - 6 * q^7 - 4 * q^8 + 6 * q^9 - 6 * q^10 + 2 * q^11 - 8 * q^12 - 20 * q^14 + 10 * q^15 + 4 * q^16 - 12 * q^17 + 2 * q^18 + 14 * q^19 + 36 * q^20 - 6 * q^21 - 8 * q^22 - 18 * q^24 + 24 * q^26 + 2 * q^28 - 8 * q^29 - 30 * q^30 - 4 * q^31 + 10 * q^32 - 12 * q^33 - 12 * q^34 - 20 * q^35 + 54 * q^36 - 10 * q^37 - 20 * q^39 + 48 * q^40 - 18 * q^41 - 10 * q^42 + 48 * q^43 - 6 * q^44 - 6 * q^45 + 24 * q^46 - 6 * q^47 - 12 * q^48 - 50 * q^49 + 10 * q^50 - 12 * q^51 - 26 * q^52 + 12 * q^53 - 30 * q^54 + 6 * q^55 + 54 * q^56 + 12 * q^57 - 46 * q^58 + 42 * q^59 + 10 * q^60 + 30 * q^61 + 36 * q^62 + 54 * q^63 + 28 * q^65 + 66 * q^66 - 10 * q^67 - 42 * q^69 - 88 * q^70 - 42 * q^71 + 46 * q^72 + 40 * q^73 + 12 * q^74 - 40 * q^75 - 52 * q^76 - 62 * q^78 + 4 * q^79 + 30 * q^80 - 6 * q^81 - 54 * q^82 + 66 * q^83 + 104 * q^84 - 54 * q^85 - 18 * q^86 - 6 * q^88 + 72 * q^90 + 26 * q^91 - 156 * q^92 + 20 * q^93 - 18 * q^94 - 66 * q^96 - 62 * q^97 - 56 * q^98 - 36 * q^99

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