LMFDB - Embedded newform 91.2.w.a.24.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [91,2,Mod(19,91)]

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([10, 5]))

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

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

chi := DirichletCharacter("91.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 91 = 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	91.w (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			24.4
Character	$\chi$	$=$	91.24
Dual form			91.2.w.a.19.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.263976 - 0.0707322i) q^{2} +2.50625i q^{3} +(-1.66737 + 0.962657i) q^{4} +(-1.43012 - 0.383199i) q^{5} +(0.177273 + 0.661591i) q^{6} +(2.63370 + 0.252224i) q^{7} +(-0.758543 + 0.758543i) q^{8} -3.28130 q^{9} +O(q^{10})$	\(q+(0.263976 - 0.0707322i) q^{2} +2.50625i q^{3} +(-1.66737 + 0.962657i) q^{4} +(-1.43012 - 0.383199i) q^{5} +(0.177273 + 0.661591i) q^{6} +(2.63370 + 0.252224i) q^{7} +(-0.758543 + 0.758543i) q^{8} -3.28130 q^{9} -0.404621 q^{10} +(3.24588 - 3.24588i) 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} +(1.77873 - 3.08085i) q^{16} +(1.17081 + 2.02791i) q^{17} +(-0.866185 + 0.232094i) q^{18} +(-1.19817 + 1.19817i) q^{19} +(2.75342 - 0.737778i) q^{20} +(-0.632136 + 6.60072i) q^{21} +(0.627247 - 1.08642i) q^{22} +(-4.15065 - 2.39638i) q^{23} +(-1.90110 - 1.90110i) q^{24} +(-2.43173 - 1.40396i) q^{25} +(0.901181 + 0.398494i) q^{26} -0.705008i q^{27} +(-4.63416 + 2.11480i) q^{28} +(-2.87534 - 4.98024i) q^{29} -1.01408i q^{30} +(-1.52668 - 5.69764i) q^{31} +(0.806919 - 3.01146i) q^{32} +(8.13500 + 8.13500i) q^{33} +(0.452505 + 0.452505i) q^{34} +(-3.66985 - 1.36994i) q^{35} +(5.47114 - 3.15877i) q^{36} +(2.20859 + 8.24256i) q^{37} +(-0.231540 + 0.401038i) q^{38} +(-5.66896 + 7.03703i) q^{39} +(1.37548 - 0.794133i) q^{40} +(0.829479 + 0.222258i) q^{41} +(0.300015 + 1.78715i) q^{42} +(1.70069 + 0.981895i) q^{43} +(-2.28742 + 8.53676i) q^{44} +(4.69264 + 1.25739i) q^{45} +(-1.26518 - 0.339003i) q^{46} +(2.07859 - 7.75739i) q^{47} +(7.72139 + 4.45794i) q^{48} +(6.87277 + 1.32856i) q^{49} +(-0.741225 - 0.198611i) q^{50} +(-5.08245 + 2.93435i) q^{51} +(-6.85909 - 1.06853i) q^{52} +(6.54133 - 11.3299i) q^{53} +(-0.0498668 - 0.186105i) q^{54} +(-5.88581 + 3.39817i) q^{55} +(-2.18910 + 1.80645i) q^{56} +(-3.00292 - 3.00292i) q^{57} +(-1.11129 - 1.11129i) q^{58} +(-0.400951 + 1.49637i) q^{59} +(1.84906 + 6.90078i) q^{60} +9.76025i q^{61} +(-0.806013 - 1.39606i) q^{62} +(-8.64196 - 0.827621i) q^{63} +6.26289i q^{64} +(-3.14870 - 4.31076i) q^{65} +(2.72285 + 1.57204i) q^{66} +(-0.385736 - 0.385736i) q^{67} +(-3.90436 - 2.25418i) q^{68} +(6.00594 - 10.4026i) q^{69} +(-1.06565 - 0.102055i) q^{70} +(1.77061 - 0.474435i) q^{71} +(2.48901 - 2.48901i) q^{72} +(-2.28234 + 0.611552i) q^{73} +(1.16603 + 2.01962i) q^{74} +(3.51868 - 6.09453i) 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} +(-3.72437 + 3.72437i) q^{80} -8.07697 q^{81} +0.234683 q^{82} +(-3.88518 + 3.88518i) q^{83} +(-5.30022 - 11.6144i) q^{84} +(-0.897309 - 3.34880i) q^{85} +(0.518394 + 0.138903i) q^{86} +(12.4817 - 7.20634i) q^{87} +4.92428i q^{88} +(-13.5517 + 3.63117i) q^{89} +1.32768 q^{90} +(6.82437 + 6.66543i) q^{91} +9.22757 q^{92} +(14.2797 - 3.82624i) q^{93} -2.19479i q^{94} +(2.17267 - 1.25439i) q^{95} +(7.54749 + 2.02234i) q^{96} +(-0.734114 - 2.73975i) q^{97} +(1.90822 - 0.135417i) q^{98} +(-10.6507 + 10.6507i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9}+O(q^{10}) $ 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9	\( 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9} - 12 q^{10} + 2 q^{11} + 8 q^{12} - 20 q^{14} + 10 q^{15} - 2 q^{16} - 6 q^{17} - 4 q^{18} - 8 q^{19} - 36 q^{20} - 2 q^{21} - 8 q^{22} - 6 q^{23} + 12 q^{24} + 24 q^{26} - 18 q^{28} - 8 q^{29} - 38 q^{31} - 20 q^{32} + 18 q^{33} + 12 q^{34} - 2 q^{35} + 54 q^{36} - 16 q^{37} + 28 q^{39} + 48 q^{40} + 18 q^{41} - 4 q^{42} + 48 q^{43} - 6 q^{44} + 12 q^{45} + 18 q^{46} - 42 q^{47} + 12 q^{48} + 8 q^{49} + 10 q^{50} + 12 q^{51} - 28 q^{52} + 12 q^{53} - 30 q^{54} - 6 q^{55} - 24 q^{56} + 12 q^{57} + 62 q^{58} - 6 q^{59} + 16 q^{60} - 36 q^{62} - 38 q^{63} - 2 q^{65} + 66 q^{66} - 4 q^{67} + 30 q^{68} + 42 q^{69} + 68 q^{70} - 42 q^{71} - 38 q^{72} + 14 q^{73} - 6 q^{74} - 20 q^{75} + 52 q^{76} - 62 q^{78} + 4 q^{79} + 12 q^{80} + 12 q^{81} - 108 q^{82} - 66 q^{83} - 56 q^{84} - 54 q^{85} - 30 q^{86} + 42 q^{87} - 30 q^{89} - 72 q^{90} - 42 q^{91} - 156 q^{92} + 14 q^{93} - 6 q^{95} + 18 q^{96} + 62 q^{97} + 112 q^{98} - 36 q^{99}+O(q^{100}) \) 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9 - 12 * q^10 + 2 * q^11 + 8 * q^12 - 20 * q^14 + 10 * q^15 - 2 * q^16 - 6 * q^17 - 4 * q^18 - 8 * q^19 - 36 * q^20 - 2 * q^21 - 8 * q^22 - 6 * q^23 + 12 * q^24 + 24 * q^26 - 18 * q^28 - 8 * q^29 - 38 * q^31 - 20 * q^32 + 18 * q^33 + 12 * q^34 - 2 * q^35 + 54 * q^36 - 16 * q^37 + 28 * q^39 + 48 * q^40 + 18 * q^41 - 4 * q^42 + 48 * q^43 - 6 * q^44 + 12 * q^45 + 18 * q^46 - 42 * q^47 + 12 * q^48 + 8 * q^49 + 10 * q^50 + 12 * q^51 - 28 * q^52 + 12 * q^53 - 30 * q^54 - 6 * q^55 - 24 * q^56 + 12 * q^57 + 62 * q^58 - 6 * q^59 + 16 * q^60 - 36 * q^62 - 38 * q^63 - 2 * q^65 + 66 * q^66 - 4 * q^67 + 30 * q^68 + 42 * q^69 + 68 * q^70 - 42 * q^71 - 38 * q^72 + 14 * q^73 - 6 * q^74 - 20 * q^75 + 52 * q^76 - 62 * q^78 + 4 * q^79 + 12 * q^80 + 12 * q^81 - 108 * q^82 - 66 * q^83 - 56 * q^84 - 54 * q^85 - 30 * q^86 + 42 * q^87 - 30 * q^89 - 72 * q^90 - 42 * q^91 - 156 * q^92 + 14 * q^93 - 6 * q^95 + 18 * q^96 + 62 * q^97 + 112 * q^98 - 36 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$15$	$66$
$\chi(n)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	0.263976	−	0.0707322i	0.186659	−	0.0500152i	−0.164278	−	0.986414i	$-0.552530\pi$
$2$	0.263976	−	0.0707322i	0.186659	−	0.0500152i	0.350938	+	0.936399i	$0.385863\pi$
$3$			2.50625i			1.44699i	0.690332	+	0.723493i	$0.257464\pi$
$3$			2.50625i			1.44699i	−0.690332	+	0.723493i	$0.742536\pi$
$4$	−1.66737	+	0.962657i	−0.833685	+	0.481328i
$5$	−1.43012	−	0.383199i	−0.639568	−	0.171372i	−0.0755602	−	0.997141i	$-0.524075\pi$
$5$	−1.43012	−	0.383199i	−0.639568	−	0.171372i	−0.564008	+	0.825770i	$0.690741\pi$
$6$	0.177273	+	0.661591i	0.0723713	+	0.270093i
$7$	2.63370	+	0.252224i	0.995446	+	0.0953316i
$7$	2.63370	+	0.252224i	0.995446	+	0.0953316i
$8$	−0.758543	+	0.758543i	−0.268186	+	0.268186i
$9$	−3.28130			−1.09377
$10$	−0.404621			−0.127953
$11$	3.24588	−	3.24588i	0.978670	−	0.978670i	−0.0211071	−	0.999777i	$-0.506719\pi$
$11$	3.24588	−	3.24588i	0.978670	−	0.978670i	0.999777	+	0.0211071i	$0.00671910\pi$
$12$	−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
$16$	1.77873	−	3.08085i	0.444682	−	0.770213i
$17$	1.17081	+	2.02791i	0.283964	+	0.491840i	0.972357	−	0.233497i	$-0.0750171\pi$
$17$	1.17081	+	2.02791i	0.283964	+	0.491840i	−0.688393	+	0.725337i	$0.741684\pi$
$18$	−0.866185	+	0.232094i	−0.204162	+	0.0547050i
$19$	−1.19817	+	1.19817i	−0.274880	+	0.274880i	−0.831061	−	0.556181i	$-0.812266\pi$
$19$	−1.19817	+	1.19817i	−0.274880	+	0.274880i	0.556181	+	0.831061i	$0.312266\pi$
$20$	2.75342	−	0.737778i	0.615684	−	0.164972i
$21$	−0.632136	+	6.60072i	−0.137943	+	1.44040i
$22$	0.627247	−	1.08642i	0.133730	−	0.231626i
$23$	−4.15065	−	2.39638i	−0.865471	−	0.499680i	0.000369324	−	1.00000i	$-0.499882\pi$
$23$	−4.15065	−	2.39638i	−0.865471	−	0.499680i	−0.865841	+	0.500320i	$0.833216\pi$
$24$	−1.90110	−	1.90110i	−0.388061	−	0.388061i
$25$	−2.43173	−	1.40396i	−0.486347	−	0.280792i
$26$	0.901181	+	0.398494i	0.176736	+	0.0781510i
$27$		−	0.705008i		−	0.135679i
$28$	−4.63416	+	2.11480i	−0.875774	+	0.399660i
$29$	−2.87534	−	4.98024i	−0.533938	−	0.924808i	−0.999214	−	0.0396419i	$-0.987378\pi$
$29$	−2.87534	−	4.98024i	−0.533938	−	0.924808i	0.465276	−	0.885166i	$-0.345955\pi$
$30$		−	1.01408i		−	0.185145i
$31$	−1.52668	−	5.69764i	−0.274199	−	1.02333i	−0.956376	−	0.292139i	$-0.905633\pi$
$31$	−1.52668	−	5.69764i	−0.274199	−	1.02333i	0.682177	−	0.731187i	$-0.261033\pi$
$32$	0.806919	−	3.01146i	0.142644	−	0.532356i
$33$	8.13500	+	8.13500i	1.41612	+	1.41612i
$34$	0.452505	+	0.452505i	0.0776040	+	0.0776040i
$35$	−3.66985	−	1.36994i	−0.620318	−	0.231562i
$36$	5.47114	−	3.15877i	0.911857	−	0.526461i
$37$	2.20859	+	8.24256i	0.363090	+	1.35507i	0.869992	+	0.493066i	$0.164124\pi$
$37$	2.20859	+	8.24256i	0.363090	+	1.35507i	−0.506902	+	0.862003i	$0.669210\pi$
$38$	−0.231540	+	0.401038i	−0.0375607	+	0.0650570i
$39$	−5.66896	+	7.03703i	−0.907760	+	1.12683i
$40$	1.37548	−	0.794133i	0.217482	−	0.125563i
$41$	0.829479	+	0.222258i	0.129543	+	0.0347109i	0.323008	−	0.946396i	$-0.395306\pi$
$41$	0.829479	+	0.222258i	0.129543	+	0.0347109i	−0.193465	+	0.981107i	$0.561973\pi$
$42$	0.300015	+	1.78715i	0.0462933	+	0.275762i
$43$	1.70069	+	0.981895i	0.259353	+	0.149738i	0.624039	−	0.781393i	$-0.285490\pi$
$43$	1.70069	+	0.981895i	0.259353	+	0.149738i	−0.364686	+	0.931130i	$0.618824\pi$
$44$	−2.28742	+	8.53676i	−0.344841	+	1.28696i
$45$	4.69264	+	1.25739i	0.699538	+	0.187441i
$46$	−1.26518	−	0.339003i	−0.186540	−	0.0499832i
$47$	2.07859	−	7.75739i	0.303193	−	1.13153i	−0.631297	−	0.775542i	$-0.717477\pi$
$47$	2.07859	−	7.75739i	0.303193	−	1.13153i	0.934490	−	0.355990i	$-0.115856\pi$
$48$	7.72139	+	4.45794i	1.11449	+	0.643449i
$49$	6.87277	+	1.32856i	0.981824	+	0.189795i
$50$	−0.741225	−	0.198611i	−0.104825	−	0.0280878i
$51$	−5.08245	+	2.93435i	−0.711685	+	0.410892i
$52$	−6.85909	−	1.06853i	−0.951184	−	0.148179i
$53$	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	$-0.188691\pi$
$54$	−0.0498668	−	0.186105i	−0.00678601	−	0.0253257i
$55$	−5.88581	+	3.39817i	−0.793642	+	0.458210i
$56$	−2.18910	+	1.80645i	−0.292531	+	0.241398i
$57$	−3.00292	−	3.00292i	−0.397747	−	0.397747i
$58$	−1.11129	−	1.11129i	−0.145919	−	0.145919i
$59$	−0.400951	+	1.49637i	−0.0521994	+	0.194811i	−0.987102	−	0.160094i	$-0.948820\pi$
$59$	−0.400951	+	1.49637i	−0.0521994	+	0.194811i	0.934902	+	0.354905i	$0.115487\pi$
$60$	1.84906	+	6.90078i	0.238712	+	0.890886i
$61$			9.76025i			1.24967i	0.780756	+	0.624836i	$0.214834\pi$
$61$			9.76025i			1.24967i	−0.780756	+	0.624836i	$0.785166\pi$
$62$	−0.806013	−	1.39606i	−0.102364	−	0.177299i
$63$	−8.64196	−	0.827621i	−1.08879	−	0.104270i
$64$			6.26289i			0.782861i
$65$	−3.14870	−	4.31076i	−0.390548	−	0.534684i
$66$	2.72285	+	1.57204i	0.335160	+	0.193505i
$67$	−0.385736	−	0.385736i	−0.0471252	−	0.0471252i	0.683152	−	0.730277i	$-0.260609\pi$
$67$	−0.385736	−	0.385736i	−0.0471252	−	0.0471252i	−0.730277	+	0.683152i	$0.760609\pi$
$68$	−3.90436	−	2.25418i	−0.473473	−	0.273360i
$69$	6.00594	−	10.4026i	0.723030	−	1.25232i
$70$	−1.06565	−	0.102055i	−0.127370	−	0.0121979i
$71$	1.77061	−	0.474435i	0.210133	−	0.0563050i	−0.152217	−	0.988347i	$-0.548641\pi$
$71$	1.77061	−	0.474435i	0.210133	−	0.0563050i	0.362350	+	0.932042i	$0.381975\pi$
$72$	2.48901	−	2.48901i	0.293332	−	0.293332i
$73$	−2.28234	+	0.611552i	−0.267128	+	0.0715768i	−0.389897	−	0.920859i	$-0.627489\pi$
$73$	−2.28234	+	0.611552i	−0.267128	+	0.0715768i	0.122769	+	0.992435i	$0.460823\pi$
$74$	1.16603	+	2.01962i	0.135548	+	0.234776i
$75$	3.51868	−	6.09453i	0.406302	−	0.703736i
$76$	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	$0.910489\pi$
$80$	−3.72437	+	3.72437i	−0.416397	+	0.416397i
$81$	−8.07697			−0.897441
$82$	0.234683			0.0259165
$83$	−3.88518	+	3.88518i	−0.426454	+	0.426454i	−0.887419	−	0.460965i	$-0.847504\pi$
$83$	−3.88518	+	3.88518i	−0.426454	+	0.426454i	0.460965	+	0.887419i	$0.347504\pi$
$84$	−5.30022	−	11.6144i	−0.578302	−	1.26723i
$85$	−0.897309	−	3.34880i	−0.0973268	−	0.363228i
$86$	0.518394	+	0.138903i	0.0558998	+	0.0149783i
$87$	12.4817	−	7.20634i	1.33818	−	0.772600i
$88$			4.92428i			0.524930i
$89$	−13.5517	+	3.63117i	−1.43648	+	0.384904i	−0.891299	−	0.453415i	$-0.850205\pi$
$89$	−13.5517	+	3.63117i	−1.43648	+	0.384904i	−0.545180	+	0.838319i	$0.683539\pi$
$90$	1.32768			0.139950
$91$	6.82437	+	6.66543i	0.715388	+	0.698727i
$92$	9.22757			0.962041
$93$	14.2797	−	3.82624i	1.48074	−	0.396762i
$94$		−	2.19479i		−	0.226375i
$95$	2.17267	−	1.25439i	0.222911	−	0.128698i
$96$	7.54749	+	2.02234i	0.770312	+	0.206404i
$97$	−0.734114	−	2.73975i	−0.0745380	−	0.278180i	0.918590	−	0.395212i	$-0.129329\pi$
$97$	−0.734114	−	2.73975i	−0.0745380	−	0.278180i	−0.993128	+	0.117032i	$0.962662\pi$
$98$	1.90822	−	0.135417i	0.192759	−	0.0136792i
$99$	−10.6507	+	10.6507i	−1.07044	+	1.07044i
$100$	5.40613			0.540613
$101$	−10.6403			−1.05875			−0.529374	−	0.848388i	$-0.677573\pi$
$101$	−10.6403			−1.05875			−0.529374	+	0.848388i	$0.677573\pi$
$102$	−1.13409	+	1.13409i	−0.112292	+	0.112292i
$103$	−8.60773	−	14.9090i	−0.848145	−	1.46903i	−0.882862	−	0.469633i	$-0.844386\pi$
$103$	−8.60773	−	14.9090i	−0.848145	−	1.46903i	0.0347173	−	0.999397i	$-0.488947\pi$
$104$	−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
$107$	2.02845	−	3.51338i	0.196097	−	0.339651i	−0.751162	−	0.660118i	$-0.770506\pi$
$107$	2.02845	−	3.51338i	0.196097	−	0.339651i	0.947260	+	0.320467i	$0.103840\pi$
$108$	0.678681	+	1.17551i	0.0653061	+	0.113113i
$109$	7.65154	−	2.05022i	0.732885	−	0.196376i	0.126971	−	0.991906i	$-0.459474\pi$
$109$	7.65154	−	2.05022i	0.732885	−	0.196376i	0.605914	+	0.795531i	$0.292808\pi$
$110$	−1.31335	+	1.31335i	−0.125223	+	0.125223i
$111$	−20.6579	+	5.53528i	−1.96077	+	0.525385i
$112$	5.46171	−	7.66540i	0.516083	−	0.724312i
$113$	−9.23138	+	15.9892i	−0.868415	+	1.50414i	−0.00479920	+	0.999988i	$0.501528\pi$
$113$	−9.23138	+	15.9892i	−0.868415	+	1.50414i	−0.863616	+	0.504150i	$0.831806\pi$
$114$	−1.00510	−	0.580297i	−0.0941365	−	0.0543497i
$115$	5.01763	+	5.01763i	0.467897	+	0.467897i
$116$	9.58853	+	5.53594i	0.890272	+	0.513999i
$117$	−9.21320	−	7.42206i	−0.851761	−	0.686170i
$118$			0.423366i			0.0389740i
$119$	2.57209	+	5.63621i	0.235783	+	0.516671i
$120$	1.99030	+	3.44730i	0.181688	+	0.314694i
$121$		−	10.0715i		−	0.915590i
$122$	0.690364	+	2.57647i	0.0625026	+	0.233263i
$123$	−0.557035	+	2.07888i	−0.0502262	+	0.187447i
$124$	8.03041	+	8.03041i	0.721152	+	0.721152i
$125$	8.17426	+	8.17426i	0.731128	+	0.731128i
$126$	−2.33981	+	0.392793i	−0.208447	+	0.0349928i
$127$	−2.52084	+	1.45541i	−0.223689	+	0.129147i	−0.607657	−	0.794200i	$-0.707890\pi$
$127$	−2.52084	+	1.45541i	−0.223689	+	0.129147i	0.383968	+	0.923346i	$0.374557\pi$
$128$	2.05683	+	7.67618i	0.181799	+	0.678485i
$129$	−2.46088	+	4.26236i	−0.216668	+	0.375280i
$130$	−1.13609	−	0.915224i	−0.0996419	−	0.0802705i
$131$	−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
$133$	−3.45784	+	2.85342i	−0.299832	+	0.247423i
$134$	−0.129109	−	0.0745412i	−0.0111533	−	0.00643938i
$135$	−0.270158	+	1.00824i	−0.0232515	+	0.0867758i
$136$	−2.42637	−	0.650144i	−0.208059	−	0.0557493i
$137$	0.526114	+	0.140972i	0.0449489	+	0.0120440i	0.281223	−	0.959642i	$-0.409260\pi$
$137$	0.526114	+	0.140972i	0.0449489	+	0.0120440i	−0.236275	+	0.971686i	$0.575926\pi$
$138$	0.849626	−	3.17085i	0.0723250	−	0.269921i
$139$	−3.32499	−	1.91968i	−0.282022	−	0.162825i	0.352317	−	0.935881i	$-0.385394\pi$
$139$	−3.32499	−	1.91968i	−0.282022	−	0.162825i	−0.634338	+	0.773056i	$0.718727\pi$
$140$	7.43778	−	1.24861i	0.628607	−	0.105527i
$141$	19.4420	+	5.20946i	1.63731	+	0.438716i
$142$	0.433842	−	0.250479i	0.0364072	−	0.0210197i
$143$	16.4557	−	1.77181i	1.37609	−	0.148166i
$144$	−5.83654	+	10.1092i	−0.486379	+	0.842433i
$145$	2.20366	+	8.22416i	0.183004	+	0.682979i
$146$	−0.559228	+	0.322870i	−0.0462820	+	0.0267210i
$147$	−3.32972	+	17.2249i	−0.274630	+	1.42068i
$148$	−11.6173	−	11.6173i	−0.954936	−	0.954936i
$149$	16.5393	+	16.5393i	1.35495	+	1.35495i	0.880029	+	0.474919i	$0.157523\pi$
$149$	16.5393	+	16.5393i	1.35495	+	1.35495i	0.474919	+	0.880029i	$0.342477\pi$
$150$	0.497768	−	1.85770i	0.0406426	−	0.151680i
$151$	−1.70623	−	6.36774i	−0.138851	−	0.518200i	−0.999952	−	0.00976596i	$-0.996891\pi$
$151$	−1.70623	−	6.36774i	−0.138851	−	0.518200i	0.861101	−	0.508434i	$-0.169775\pi$
$152$		−	1.81773i		−	0.147437i
$153$	−3.84179	−	6.65417i	−0.310590	−	0.537958i
$154$	1.92600	−	2.70311i	0.155202	−	0.217823i
$155$			8.73331i			0.701476i
$156$	2.67801	−	17.1906i	0.214412	−	1.37635i
$157$	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	$0.522563\pi$
$158$	−0.824529	−	0.824529i	−0.0655960	−	0.0655960i
$159$	28.3956	+	16.3942i	2.25192	+	1.30015i
$160$	−2.30798	+	3.99754i	−0.182462	+	0.316033i
$161$	−10.3272	−	7.35825i	−0.813894	−	0.579911i
$162$	−2.13213	+	0.571302i	−0.167516	+	0.0448857i
$163$	2.73418	−	2.73418i	0.214157	−	0.214157i	−0.591874	−	0.806031i	$-0.701612\pi$
$163$	2.73418	−	2.73418i	0.214157	−	0.214157i	0.806031	+	0.591874i	$0.201612\pi$
$164$	−1.59701	+	0.427917i	−0.124705	+	0.0334147i
$165$	−8.51668	−	14.7513i	−0.663023	−	1.14839i
$166$	−0.750788	+	1.30040i	−0.0582724	+	0.100931i
$167$	6.30900	−	23.5455i	0.488205	−	1.82201i	−0.0769673	−	0.997034i	$-0.524524\pi$
$167$	6.30900	−	23.5455i	0.488205	−	1.82201i	0.565172	−	0.824973i	$-0.308810\pi$
$168$	−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
$171$	3.93156	−	3.93156i	0.300654	−	0.300654i
$172$	−3.78091			−0.288292
$173$	−4.79982			−0.364924			−0.182462	−	0.983213i	$-0.558407\pi$
$173$	−4.79982			−0.364924			−0.182462	+	0.983213i	$0.558407\pi$
$174$	2.78516	−	2.78516i	0.211143	−	0.211143i
$175$	−6.05035	−	4.31096i	−0.457363	−	0.325878i
$176$	−4.22653	−	15.7736i	−0.318587	−	1.18898i
$177$	−3.75028	−	1.00488i	−0.281888	−	0.0755317i
$178$	−3.32049	+	1.91709i	−0.248881	+	0.143692i
$179$			11.1404i			0.832672i	0.909211	+	0.416336i	$0.136686\pi$
$179$			11.1404i			0.832672i	−0.909211	+	0.416336i	$0.863314\pi$
$180$	−9.03481	+	2.42087i	−0.673415	+	0.180441i
$181$	−4.32449			−0.321437			−0.160718	−	0.987000i	$-0.551381\pi$
$181$	−4.32449			−0.321437			−0.160718	+	0.987000i	$0.551381\pi$
$182$	2.27293	+	1.27681i	0.168481	+	0.0946436i
$183$	−24.4616			−1.80826
$184$	4.96621	−	1.33069i	0.366114	−	0.0980999i
$185$		−	12.6342i		−	0.928882i
$186$	3.49887	−	2.02007i	0.256549	−	0.148119i
$187$	10.3827	+	2.78203i	0.759256	+	0.203442i
$188$	4.00193	+	14.9354i	0.291871	+	1.08928i
$189$	0.177820	−	1.85678i	0.0129345	−	0.135061i
$190$	0.484806	−	0.484806i	0.0351715	−	0.0351715i
$191$	−6.31947			−0.457261			−0.228630	−	0.973513i	$-0.573425\pi$
$191$	−6.31947			−0.457261			−0.228630	+	0.973513i	$0.573425\pi$
$192$	−15.6964			−1.13279
$193$	8.42328	−	8.42328i	0.606321	−	0.606321i	−0.335662	−	0.941983i	$-0.608960\pi$
$193$	8.42328	−	8.42328i	0.606321	−	0.606321i	0.941983	+	0.335662i	$0.108960\pi$
$194$	−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	−0.982323	−	0.187192i	$-0.940061\pi$
$197$	−0.533499	+	1.99105i	−0.0380103	+	0.141856i	0.944313	+	0.329048i	$0.106728\pi$
$198$	−2.05819	+	3.56488i	−0.146269	+	0.253345i
$199$	−9.28142	−	16.0759i	−0.657942	−	1.13959i	−0.981147	−	0.193261i	$-0.938094\pi$
$199$	−9.28142	−	16.0759i	−0.657942	−	1.13959i	0.323205	−	0.946329i	$-0.395240\pi$
$200$	2.90954	−	0.779609i	0.205736	−	0.0551267i
$201$	0.966752	−	0.966752i	0.0681894	−	0.0681894i
$202$	−2.80878	+	0.752611i	−0.197625	+	0.0529536i
$203$	−6.31666	−	13.8417i	−0.443343	−	0.971497i
$204$	5.64955	−	9.78531i	0.395548	−	0.685109i
$205$	−1.10108	−	0.635711i	−0.0769030	−	0.0443999i
$206$	−3.32678	−	3.32678i	−0.231788	−	0.231788i
$207$	13.6195	+	7.86325i	0.946624	+	0.546533i
$208$	11.9630	−	4.62703i	0.829482	−	0.320826i
$209$			7.77825i			0.538033i
$210$	0.255776	−	2.67079i	0.0176502	−	0.184302i
$211$	−1.40368	−	2.43124i	−0.0966332	−	0.167374i	0.813656	−	0.581347i	$-0.197474\pi$
$211$	−1.40368	−	2.43124i	−0.0966332	−	0.167374i	−0.910289	+	0.413973i	$0.864141\pi$
$212$			25.1882i			1.72993i
$213$	1.18905	+	4.43761i	0.0814726	+	0.304060i
$214$	0.286953	−	1.07092i	0.0196157	−	0.0732069i
$215$	−2.05593	−	2.05593i	−0.140213	−	0.140213i
$216$	0.534779	+	0.534779i	0.0363871	+	0.0363871i
$217$	−2.58373	−	15.3909i	−0.175395	−	1.04481i
$218$	1.87481	−	1.08242i	0.126978	−	0.0733108i
$219$	−1.53270	−	5.72013i	−0.103571	−	0.386531i
$220$	6.54255	−	11.3320i	0.441099	−	0.764005i
$221$	−1.29958	+	8.34224i	−0.0874193	+	0.561160i
$222$	−5.06168	+	2.92236i	−0.339718	+	0.196136i
$223$	15.6678	+	4.19816i	1.04919	+	0.281130i	0.741917	−	0.670491i	$-0.233917\pi$
$223$	15.6678	+	4.19816i	1.04919	+	0.281130i	0.307274	+	0.951621i	$0.400583\pi$
$224$	2.88475	−	7.72777i	0.192745	−	0.516333i
$225$	7.97924	+	4.60682i	0.531950	+	0.307121i
$226$	−1.30591	+	4.87373i	−0.0868679	+	0.324196i
$227$	1.69538	+	0.454277i	0.112527	+	0.0301514i	0.314643	−	0.949210i	$-0.398115\pi$
$227$	1.69538	+	0.454277i	0.112527	+	0.0301514i	−0.202116	+	0.979362i	$0.564782\pi$
$228$	7.89777	+	2.11620i	0.523042	+	0.140149i
$229$	2.88434	−	10.7645i	0.190602	−	0.711338i	−0.802759	−	0.596304i	$-0.796635\pi$
$229$	2.88434	−	10.7645i	0.190602	−	0.711338i	0.993362	−	0.115034i	$-0.0366978\pi$
$230$	1.67944	+	0.969627i	0.110739	+	0.0639353i
$231$	19.3733	+	23.4770i	1.27467	+	1.54467i
$232$	5.95880	+	1.59666i	0.391214	+	0.104826i
$233$	−17.6370	+	10.1827i	−1.15544	+	0.667091i	−0.950206	−	0.311623i	$-0.899128\pi$
$233$	−17.6370	+	10.1827i	−1.15544	+	0.667091i	−0.205230	+	0.978714i	$0.565794\pi$
$234$	−2.95704	−	1.30758i	−0.193308	−	0.0854790i
$235$	−5.94525	+	10.2975i	−0.387825	+	0.671733i
$236$	−0.771957	−	2.88098i	−0.0502501	−	0.187536i
$237$	9.26095	−	5.34681i	0.601563	−	0.347313i
$238$	1.07763	+	1.30590i	0.0698525	+	0.0846487i
$239$	14.6160	+	14.6160i	0.945430	+	0.945430i	0.998586	−	0.0531558i	$-0.0169280\pi$
$239$	14.6160	+	14.6160i	0.945430	+	0.945430i	−0.0531558	+	0.998586i	$0.516928\pi$
$240$	−9.33421	−	9.33421i	−0.602521	−	0.602521i
$241$	−3.69524	+	13.7908i	−0.238031	+	0.888345i	0.738728	+	0.674004i	$0.235427\pi$
$241$	−3.69524	+	13.7908i	−0.238031	+	0.888345i	−0.976759	+	0.214341i	$0.931240\pi$
$242$	−0.712379	−	2.65863i	−0.0457935	−	0.170904i
$243$		−	22.3580i		−	1.43426i
$244$	−9.39577	−	16.2740i	−0.601503	−	1.04183i
$245$	−9.31976	−	4.53364i	−0.595418	−	0.289643i
$246$			0.588176i			0.0375007i
$247$	−6.07439	+	0.654039i	−0.386504	+	0.0416155i
$248$	5.47995	+	3.16385i	0.347977	+	0.200905i
$249$	−9.73724	−	9.73724i	−0.617073	−	0.617073i
$250$	2.73599	+	1.57963i	0.173039	+	0.0999043i
$251$	3.24540	−	5.62120i	0.204848	−	0.354807i	−0.745236	−	0.666801i	$-0.767663\pi$
$251$	3.24540	−	5.62120i	0.204848	−	0.354807i	0.950084	+	0.311993i	$0.100997\pi$
$252$	15.2061	−	6.93929i	0.957892	−	0.437134i
$253$	−21.2509	+	5.69416i	−1.33603	+	0.357989i
$254$	−0.562498	+	0.562498i	−0.0352943	+	0.0352943i
$255$	8.39294	−	2.24888i	0.525586	−	0.140830i
$256$	−5.17698	−	8.96680i	−0.323561	−	0.560425i
$257$	−11.0980	+	19.2224i	−0.692277	+	1.19906i	0.278813	+	0.960345i	$0.410059\pi$
$257$	−11.0980	+	19.2224i	−0.692277	+	1.19906i	−0.971090	+	0.238713i	$0.923274\pi$
$258$	−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
$262$	−1.91509	+	1.91509i	−0.118315	+	0.118315i
$263$	10.1064			0.623187			0.311594	−	0.950215i	$-0.399137\pi$
$263$	10.1064			0.623187			0.311594	+	0.950215i	$0.399137\pi$
$264$	−12.3415			−0.759566
$265$	−13.6965	+	13.6965i	−0.841368	+	0.841368i
$266$	−0.710957	+	0.997815i	−0.0435916	+	0.0611800i
$267$	−9.10063	−	33.9640i	−0.556950	−	2.07857i
$268$	1.01450	+	0.271834i	0.0619702	+	0.0166049i
$269$	−8.97049	+	5.17912i	−0.546940	+	0.315776i	−0.747887	−	0.663826i	$-0.768932\pi$
$269$	−8.97049	+	5.17912i	−0.546940	+	0.315776i	0.200947	+	0.979602i	$0.435598\pi$
$270$			0.285261i			0.0173604i
$271$	−3.15801	+	0.846186i	−0.191835	+	0.0514022i	−0.353458	−	0.935451i	$-0.614994\pi$
$271$	−3.15801	+	0.846186i	−0.191835	+	0.0514022i	0.161622	+	0.986853i	$0.448327\pi$
$272$	8.33024			0.505095
$273$	−16.7053	+	17.1036i	−1.01105	+	1.03516i
$274$	0.148853			0.00899252
$275$	−12.4502	+	3.33602i	−0.750776	+	0.201170i
$276$			23.1266i			1.39206i
$277$	−14.4303	+	8.33132i	−0.867030	+	0.500580i	−0.866360	−	0.499420i	$-0.833547\pi$
$277$	−14.4303	+	8.33132i	−0.867030	+	0.500580i	−0.000670170		1.00000i	$0.500213\pi$
$278$	−1.01350	−	0.271567i	−0.0607857	−	0.0162875i
$279$	5.00949	+	18.6957i	0.299910	+	1.11928i
$280$	3.82290	−	1.74458i	0.228462	−	0.104259i
$281$	8.02095	−	8.02095i	0.478490	−	0.478490i	−0.426159	−	0.904648i	$-0.640134\pi$
$281$	8.02095	−	8.02095i	0.478490	−	0.478490i	0.904648	+	0.426159i	$0.140134\pi$
$282$	5.50070			0.327562
$283$	14.4404			0.858390			0.429195	−	0.903212i	$-0.358797\pi$
$283$	14.4404			0.858390			0.429195	+	0.903212i	$0.358797\pi$
$284$	−2.49555	+	2.49555i	−0.148084	+	0.148084i
$285$	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
$289$	5.75839	−	9.97383i	0.338729	−	0.586696i
$290$	1.16343	+	2.01511i	0.0683187	+	0.118331i
$291$	6.86651	−	1.83988i	0.402522	−	0.107855i
$292$	3.21680	−	3.21680i	0.188249	−	0.188249i
$293$	−15.9091	+	4.26283i	−0.929420	+	0.249037i	−0.691607	−	0.722274i	$-0.743097\pi$
$293$	−15.9091	+	4.26283i	−0.929420	+	0.249037i	−0.237812	+	0.971311i	$0.576430\pi$
$294$	0.339389	+	4.78248i	0.0197935	+	0.278920i
$295$	1.14681	−	1.98634i	0.0667701	−	0.115649i
$296$	−7.92765	−	4.57703i	−0.460785	−	0.266035i
$297$	−2.28837	−	2.28837i	−0.132785	−	0.132785i
$298$	5.53583	+	3.19611i	0.320682	+	0.185146i
$299$	−6.23373	−	16.1170i	−0.360506	−	0.932071i
$300$			13.5491i			0.782259i
$301$	4.23146	+	3.01497i	0.243897	+	0.173780i
$302$	−0.900809	−	1.56025i	−0.0518357	−	0.0897821i
$303$		−	26.6673i		−	1.53199i
$304$	1.56016	+	5.82261i	0.0894816	+	0.333950i
$305$	3.74012	−	13.9583i	0.214158	−	0.799250i
$306$	−1.48481	−	1.48481i	−0.0848807	−	0.0848807i
$307$	8.27574	+	8.27574i	0.472322	+	0.472322i	0.902665	−	0.430344i	$-0.141608\pi$
$307$	8.27574	+	8.27574i	0.472322	+	0.472322i	−0.430344	+	0.902665i	$0.641608\pi$
$308$	−8.17755	+	21.9063i	−0.465959	+	1.24823i
$309$	37.3658	−	21.5731i	2.12566	−	1.22725i
$310$	0.617726	+	2.30539i	0.0350845	+	0.130937i
$311$	−6.45124	+	11.1739i	−0.365816	+	0.633612i	−0.988907	−	0.148538i	$-0.952543\pi$
$311$	−6.45124	+	11.1739i	−0.365816	+	0.633612i	0.623091	+	0.782150i	$0.285877\pi$
$312$	−1.03774	−	9.63804i	−0.0587506	−	0.545647i
$313$	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
$315$	12.0419	+	4.49519i	0.678483	+	0.253275i
$316$	7.11430	+	4.10744i	0.400211	+	0.231062i
$317$	3.34843	−	12.4965i	0.188066	−	0.701873i	−0.805887	−	0.592070i	$-0.798311\pi$
$317$	3.34843	−	12.4965i	0.188066	−	0.701873i	0.993953	−	0.109804i	$-0.0350223\pi$
$318$	8.65537	+	2.31920i	0.485369	+	0.130054i
$319$	−25.4983	−	6.83225i	−1.42763	−	0.382532i
$320$	2.39993	−	8.95667i	0.134160	−	0.500693i
$321$	8.80540	+	5.08380i	0.491470	+	0.283750i
$322$	−3.24659	−	1.21194i	−0.180925	−	0.0675387i
$323$	−3.83262	−	1.02695i	−0.213253	−	0.0571409i
$324$	13.4673	−	7.77535i	0.748184	−	0.431964i
$325$	−3.65214	−	9.44243i	−0.202584	−	0.523772i
$326$	0.528363	−	0.915152i	0.0292633	−	0.0506856i
$327$	5.13838	+	19.1767i	0.284153	+	1.06047i
$328$	−0.797788	+	0.460603i	−0.0440505	+	0.0254325i
$329$	7.43097	−	19.9064i	0.409683	−	1.09747i
$330$	−3.29159	−	3.29159i	−0.181196	−	0.181196i
$331$	−7.06614	−	7.06614i	−0.388390	−	0.388390i	0.485723	−	0.874113i	$-0.338556\pi$
$331$	−7.06614	−	7.06614i	−0.388390	−	0.388390i	−0.874113	+	0.485723i	$0.838556\pi$
$332$	2.73794	−	10.2181i	0.150264	−	0.560793i
$333$	−7.24704	−	27.0463i	−0.397135	−	1.48213i
$334$		−	6.66170i		−	0.364512i
$335$	0.403834	+	0.699462i	0.0220638	+	0.0382157i
$336$	19.2114	+	13.6884i	1.04807	+	0.746764i
$337$		−	17.5327i		−	0.955069i	−0.878613	−	0.477534i	$-0.841531\pi$
$337$		−	17.5327i		−	0.955069i	0.878613	−	0.477534i	$-0.158469\pi$
$338$	1.62896	+	3.15729i	0.0886039	+	0.171734i
$339$	−40.0730	−	23.1362i	−2.17647	−	1.25658i
$340$	4.71989	+	4.71989i	0.255972	+	0.255972i
$341$	−23.4493	−	13.5384i	−1.26985	−	0.733148i
$342$	0.759751	−	1.31593i	0.0410826	−	0.0711572i
$343$	17.7657	+	5.23251i	0.959259	+	0.282529i
$344$	−2.03486	+	0.545238i	−0.109712	+	0.0293973i
$345$	−12.5755	+	12.5755i	−0.677040	+	0.677040i
$346$	−1.26704	+	0.339502i	−0.0681164	+	0.0182517i
$347$	13.1271	+	22.7368i	0.704700	+	1.22058i	0.966800	+	0.255535i	$0.0822516\pi$
$347$	13.1271	+	22.7368i	0.704700	+	1.22058i	−0.262100	+	0.965041i	$0.584415\pi$
$348$	−13.8745	+	24.0313i	−0.743749	+	1.28821i
$349$	−2.90133	+	10.8279i	−0.155304	+	0.579604i	0.843775	+	0.536698i	$0.180328\pi$
$349$	−2.90133	+	10.8279i	−0.155304	+	0.579604i	−0.999079	+	0.0429064i	$0.986338\pi$
$350$	−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
$353$	−4.95246	+	4.95246i	−0.263593	+	0.263593i	−0.826512	−	0.562919i	$-0.809678\pi$
$353$	−4.95246	+	4.95246i	−0.263593	+	0.263593i	0.562919	+	0.826512i	$0.309678\pi$
$354$	−1.06106			−0.0563948
$355$	−2.71399			−0.144044
$356$	19.1002	−	19.1002i	1.01231	−	1.01231i
$357$	−14.1258	+	6.44630i	−0.747615	+	0.341174i
$358$	0.787984	+	2.94080i	0.0416463	+	0.155426i
$359$	−4.93737	−	1.32297i	−0.260585	−	0.0698234i	0.126161	−	0.992010i	$-0.459734\pi$
$359$	−4.93737	−	1.32297i	−0.260585	−	0.0698234i	−0.386746	+	0.922186i	$0.626401\pi$
$360$	−4.51336	+	2.60579i	−0.237875	+	0.137337i
$361$			16.1288i			0.848882i
$362$	−1.14156	+	0.305881i	−0.0599992	+	0.0160767i
$363$	25.2417			1.32485
$364$	−17.7953	−	4.54422i	−0.932726	−	0.238182i
$365$	3.49837			0.183113
$366$	−6.45729	+	1.73023i	−0.337528	+	0.0904404i
$367$			18.3774i			0.959291i	0.877462	+	0.479645i	$0.159235\pi$
$367$			18.3774i			0.959291i	−0.877462	+	0.479645i	$0.840765\pi$
$368$	−14.7658	+	8.52503i	−0.769720	+	0.444398i
$369$	−2.72177	−	0.729296i	−0.141690	−	0.0379656i
$370$	−0.893642	−	3.33512i	−0.0464582	−	0.173385i
$371$	20.0856	−	28.1897i	1.04279	−	1.46354i
$372$	−20.1262	+	20.1262i	−1.04350	+	1.04350i
$373$	20.8520			1.07967			0.539837	−	0.841770i	$-0.318486\pi$
$373$	20.8520			1.07967			0.539837	+	0.841770i	$0.318486\pi$
$374$	2.93756			0.151897
$375$	−20.4868	+	20.4868i	−1.05793	+	1.05793i
$376$	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	−0.488399	−	0.872620i	$-0.662419\pi$
$379$	7.22021	−	26.9462i	0.370877	−	1.38413i	0.859276	−	0.511512i	$-0.170914\pi$
$380$	−2.41509	+	4.18306i	−0.123892	+	0.214587i
$381$	−3.64762	−	6.31787i	−0.186873	−	0.323674i
$382$	−1.66819	+	0.446990i	−0.0853520	+	0.0228700i
$383$	17.3797	−	17.3797i	0.888063	−	0.888063i	−0.106274	−	0.994337i	$-0.533892\pi$
$383$	17.3797	−	17.3797i	0.888063	−	0.888063i	0.994337	+	0.106274i	$0.0338921\pi$
$384$	−19.2384	+	5.15492i	−0.981758	+	0.263061i
$385$	−16.3586	+	7.46523i	−0.833710	+	0.380464i
$386$	1.62775	−	2.81934i	0.0828502	−	0.143501i
$387$	−5.58048	−	3.22189i	−0.283672	−	0.163778i
$388$	3.86148	+	3.86148i	0.196037	+	0.196037i
$389$	−21.2079	−	12.2444i	−1.07528	−	0.620815i	−0.145663	−	0.989334i	$-0.546532\pi$
$389$	−21.2079	−	12.2444i	−1.07528	−	0.620815i	−0.929620	+	0.368519i	$0.879865\pi$
$390$	2.29378	−	2.84733i	0.116150	−	0.144180i
$391$		−	11.2229i		−	0.567565i
$392$	−6.22106	+	4.20552i	−0.314211	+	0.212411i
$393$	−12.4188	−	21.5099i	−0.626444	−	1.08503i
$394$			0.563325i			0.0283799i
$395$	1.63502	+	6.10199i	0.0822670	+	0.307025i
$396$	7.50570	−	28.0117i	0.377176	−	1.40764i
$397$	13.6915	+	13.6915i	0.687155	+	0.687155i	0.961602	−	0.274448i	$-0.0884950\pi$
$397$	13.6915	+	13.6915i	0.687155	+	0.687155i	−0.274448	+	0.961602i	$0.588495\pi$
$398$	−3.58716	−	3.58716i	−0.179808	−	0.179808i
$399$	−7.15139	−	8.66621i	−0.358017	−	0.433853i
$400$	−8.65079	+	4.99454i	−0.432539	+	0.249727i
$401$	−3.42360	−	12.7770i	−0.170966	−	0.638055i	−0.997204	−	0.0747328i	$-0.976190\pi$
$401$	−3.42360	−	12.7770i	−0.170966	−	0.638055i	0.826237	−	0.563322i	$-0.190477\pi$
$402$	0.186819	−	0.323580i	0.00931768	−	0.0161387i
$403$	8.60105	−	19.4510i	0.428449	−	0.968924i
$404$	17.7413	−	10.2430i	0.882663	−	0.509606i
$405$	11.5510	+	3.09509i	0.573975	+	0.153796i
$406$	−2.64650	−	3.20709i	−0.131344	−	0.159165i
$407$	33.9232	+	19.5856i	1.68151	+	0.970821i
$408$	1.62942	−	6.08109i	0.0806685	−	0.301059i
$409$	24.0538	+	6.44521i	1.18939	+	0.318695i	0.798643	−	0.601805i	$-0.205551\pi$
$409$	24.0538	+	6.44521i	1.18939	+	0.318695i	0.390743	+	0.920500i	$0.372218\pi$
$410$	−0.335625	−	0.0899304i	−0.0165753	−	0.00444135i
$411$	−0.353311	+	1.31857i	−0.0174275	+	0.0650405i
$412$	28.7045	+	16.5726i	1.41417	+	0.816472i
$413$	−1.43341	+	3.83986i	−0.0705333	+	0.188947i
$414$	4.15142	+	1.11237i	0.204031	+	0.0546700i
$415$	7.04506	−	4.06747i	0.345828	−	0.199664i
$416$	9.07737	−	6.63037i	0.445055	−	0.325080i
$417$	4.81121	−	8.33325i	0.235606	−	0.408081i
$418$	0.550173	+	2.05327i	0.0269098	+	0.100429i
$419$	−13.9899	+	8.07708i	−0.683452	+	0.394591i	−0.801154	−	0.598458i	$-0.795780\pi$
$419$	−13.9899	+	8.07708i	−0.683452	+	0.394591i	0.117703	+	0.993049i	$0.462447\pi$
$420$	3.12933	+	18.6410i	0.152695	+	0.909586i
$421$	−12.8050	−	12.8050i	−0.624080	−	0.624080i	0.322492	−	0.946572i	$-0.395479\pi$
$421$	−12.8050	−	12.8050i	−0.624080	−	0.624080i	−0.946572	+	0.322492i	$0.895479\pi$
$422$	−0.542505	−	0.542505i	−0.0264087	−	0.0264087i
$423$	−6.82047	+	25.4543i	−0.331622	+	1.23763i
$424$	3.63235	+	13.5561i	0.176403	+	0.658343i
$425$		−	6.57511i		−	0.318940i
$426$	0.627763	+	1.08732i	0.0304152	+	0.0526807i
$427$	−2.46177	+	25.7056i	−0.119133	+	1.24398i
$428$			7.81080i			0.377549i
$429$	4.44060	+	41.2421i	0.214394	+	1.99119i
$430$	−0.688136	−	0.397296i	−0.0331849	−	0.0191593i
$431$	15.8111	+	15.8111i	0.761594	+	0.761594i	0.976611	−	0.215016i	$-0.0689804\pi$
$431$	15.8111	+	15.8111i	0.761594	+	0.761594i	−0.215016	+	0.976611i	$0.568980\pi$
$432$	−2.17202	−	1.25402i	−0.104502	−	0.0603340i
$433$	9.21467	−	15.9603i	0.442829	−	0.767002i	−0.555069	−	0.831804i	$-0.687308\pi$
$433$	9.21467	−	15.9603i	0.442829	−	0.767002i	0.997898	+	0.0648019i	$0.0206415\pi$
$434$	−1.77068	−	3.88009i	−0.0849953	−	0.186250i
$435$	−20.6118	+	5.52292i	−0.988261	+	0.264804i
$436$	−10.7843	+	10.7843i	−0.516474	+	0.516474i
$437$	7.84448	−	2.10192i	0.375252	−	0.100549i
$438$	−0.809195	−	1.40157i	−0.0386648	−	0.0669694i
$439$	−7.79998	+	13.5100i	−0.372273	+	0.644795i	−0.989915	−	0.141664i	$-0.954755\pi$
$439$	−7.79998	+	13.5100i	−0.372273	+	0.644795i	0.617642	+	0.786459i	$0.288088\pi$
$440$	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	$0.585210\pi$
$444$	29.1159	−	29.1159i	1.38178	−	1.38178i
$445$	20.7720			0.984688
$446$	4.43286			0.209902
$447$	−41.4515	+	41.4515i	−1.96059	+	1.96059i
$448$	−1.57965	+	16.4946i	−0.0746314	+	0.779296i
$449$	−2.50811	−	9.36041i	−0.118365	−	0.441745i	0.881151	−	0.472834i	$-0.156769\pi$
$449$	−2.50811	−	9.36041i	−0.118365	−	0.441745i	−0.999517	+	0.0310893i	$0.990102\pi$
$450$	2.43218	+	0.651701i	0.114654	+	0.0307215i
$451$	3.41381	−	1.97097i	0.160750	−	0.0928092i
$452$		−	35.5466i		−	1.67197i
$453$	15.9592	−	4.27625i	0.749827	−	0.200916i
$454$	0.479673			0.0225122
$455$	−7.20547	−	12.1474i	−0.337797	−	0.569481i
$456$	4.55569			0.213340
$457$	−33.4816	+	8.97136i	−1.56620	+	0.419663i	−0.934621	−	0.355646i	$-0.884261\pi$
$457$	−33.4816	+	8.97136i	−1.56620	+	0.419663i	−0.631582	+	0.775309i	$0.717594\pi$
$458$		−	3.04559i		−	0.142311i
$459$	1.42969	−	0.825433i	0.0667323	−	0.0385279i
$460$	−13.1965	−	3.53599i	−0.615291	−	0.164867i
$461$	−2.45042	−	9.14508i	−0.114127	−	0.425929i	0.885093	−	0.465414i	$-0.154095\pi$
$461$	−2.45042	−	9.14508i	−0.114127	−	0.425929i	−0.999220	+	0.0394858i	$0.987428\pi$
$462$	6.77467	+	4.82705i	0.315186	+	0.224575i
$463$	3.59580	−	3.59580i	0.167111	−	0.167111i	−0.618597	−	0.785708i	$-0.712299\pi$
$463$	3.59580	−	3.59580i	0.167111	−	0.167111i	0.785708	+	0.618597i	$0.212299\pi$
$464$	−20.4578			−0.949731
$465$	−21.8879			−1.01503
$466$	−3.93549	+	3.93549i	−0.182308	+	0.182308i
$467$	12.0623	+	20.8926i	0.558179	+	0.966794i	0.997649	+	0.0685368i	$0.0218331\pi$
$467$	12.0623	+	20.8926i	0.558179	+	0.966794i	−0.439470	+	0.898257i	$0.644834\pi$
$468$	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
$471$	−13.7360	+	23.7915i	−0.632923	+	1.09626i
$472$	−0.830922	−	1.43920i	−0.0382463	−	0.0662445i
$473$	8.70736	−	2.33313i	0.400365	−	0.107277i
$474$	2.06648	−	2.06648i	0.0949165	−	0.0949165i
$475$	4.59582	−	1.23145i	0.210871	−	0.0565027i
$476$	−9.71436	−	6.92162i	−0.445257	−	0.317252i
$477$	−21.4641	+	37.1769i	−0.982772	+	1.70221i
$478$	4.89210	+	2.82445i	0.223759	+	0.129188i
$479$	−17.3217	−	17.3217i	−0.791451	−	0.791451i	0.190279	−	0.981730i	$-0.439061\pi$
$479$	−17.3217	−	17.3217i	−0.791451	−	0.791451i	−0.981730	+	0.190279i	$0.939061\pi$
$480$	−10.0188	−	5.78437i	−0.457295	−	0.264019i
$481$	−12.4428	+	28.1391i	−0.567344	+	1.28303i
$482$			3.90182i			0.177723i
$483$	18.4416	−	25.8825i	0.839123	−	1.17769i
$484$	9.69539	+	16.7929i	0.440700	+	0.763314i
$485$			4.19948i			0.190689i
$486$	−1.58143	−	5.90197i	−0.0717350	−	0.267719i
$487$	−9.89230	+	36.9186i	−0.448263	+	1.67294i	0.258911	+	0.965901i	$0.416636\pi$
$487$	−9.89230	+	36.9186i	−0.448263	+	1.67294i	−0.707174	+	0.707039i	$0.750030\pi$
$488$	−7.40357	−	7.40357i	−0.335144	−	0.335144i
$489$	6.85254	+	6.85254i	0.309883	+	0.309883i
$490$	−2.78087	−	0.537565i	−0.125627	−	0.0242847i
$491$	10.2155	−	5.89793i	0.461020	−	0.266170i	−0.251453	−	0.967869i	$-0.580908\pi$
$491$	10.2155	−	5.89793i	0.461020	−	0.266170i	0.712473	+	0.701700i	$0.247575\pi$
$492$	−1.07247	−	4.00250i	−0.0483505	−	0.180447i
$493$	6.73298	−	11.6619i	0.303238	−	0.525224i
$494$	−1.55723	+	0.602306i	−0.0700633	+	0.0270990i
$495$	19.3131	−	11.1504i	0.868060	−	0.501174i
$496$	−20.2691	−	5.43109i	−0.910110	−	0.243863i
$497$	4.78293	−	0.802928i	0.214544	−	0.0360163i
$498$	−3.25914	−	1.88166i	−0.146045	−	0.0843193i
$499$	3.96298	−	14.7901i	0.177408	−	0.662094i	−0.818722	−	0.574191i	$-0.805317\pi$
$499$	3.96298	−	14.7901i	0.177408	−	0.662094i	0.996129	−	0.0879031i	$-0.0280166\pi$
$500$	−21.4985	−	5.76051i	−0.961443	−	0.257618i
$501$	59.0110	+	15.8119i	2.63642	+	0.706426i
$502$	0.459109	−	1.71342i	0.0204910	−	0.0764736i
$503$	−21.5683	−	12.4524i	−0.961682	−	0.555227i	−0.0649915	−	0.997886i	$-0.520702\pi$
$503$	−21.5683	−	12.4524i	−0.961682	−	0.555227i	−0.896690	+	0.442659i	$0.854035\pi$
$504$	7.18309	−	5.92752i	0.319960	−	0.264033i
$505$	15.2169	+	4.07735i	0.677142	+	0.181440i
$506$	−5.20697	+	3.00625i	−0.231478	+	0.133644i
$507$	−31.8345	+	6.93574i	−1.41382	+	0.308027i
$508$	2.80212	−	4.85341i	0.124324	−	0.215335i
$509$	−8.66796	−	32.3493i	−0.384201	−	1.43386i	−0.839423	−	0.543478i	$-0.817107\pi$
$509$	−8.66796	−	32.3493i	−0.384201	−	1.43386i	0.455222	−	0.890378i	$-0.349560\pi$
$510$	2.05647	−	1.18730i	0.0910619	−	0.0525746i
$511$	−6.16526	+	1.03499i	−0.272735	+	0.0457850i
$512$	−13.2395	−	13.2395i	−0.585111	−	0.585111i
$513$	0.844721	+	0.844721i	0.0372953	+	0.0372953i
$514$	−1.56998	+	5.85924i	−0.0692488	+	0.258440i
$515$	6.59694	+	24.6201i	0.290696	+	1.08489i
$516$		−	9.47591i		−	0.417154i
$517$	−18.4327	−	31.9264i	−0.810670	−	1.40412i
$518$	2.56158	+	5.61318i	0.112549	+	0.246629i
$519$		−	12.0296i		−	0.528039i
$520$	5.65833	+	0.881473i	0.248134	+	0.0386551i
$521$	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	$0.498910\pi$
$522$	3.64646	+	3.64646i	0.159601	+	0.159601i
$523$	−2.92715	−	1.68999i	−0.127995	−	0.0738980i	0.434635	−	0.900607i	$-0.356877\pi$
$523$	−2.92715	−	1.68999i	−0.127995	−	0.0738980i	−0.562630	+	0.826709i	$0.690211\pi$
$524$	9.54015	−	16.5240i	0.416764	−	0.721856i
$525$	10.8043	−	15.1637i	0.471540	−	0.661798i
$526$	2.66785	−	0.714848i	0.116324	−	0.0311688i
$527$	9.76683	−	9.76683i	0.425450	−	0.425450i
$528$	39.5327	−	10.5927i	1.72044	−	0.460990i
$529$	−0.0147097	−	0.0254780i	−0.000639552	−	0.00110774i
$530$	−2.64676	+	4.58433i	−0.114968	+	0.199130i
$531$	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
$535$	−4.24724	+	4.24724i	−0.183624	+	0.183624i
$536$	0.585195			0.0252766
$537$	−27.9206			−1.20486
$538$	−2.00167	+	2.00167i	−0.0862979	+	0.0862979i
$539$	26.6205	−	17.9958i	1.14663	−	0.775135i
$540$	−0.520139	−	1.94119i	−0.0223832	−	0.0835353i
$541$	31.0743	+	8.32634i	1.33599	+	0.357977i	0.854945	−	0.518719i	$-0.173591\pi$
$541$	31.0743	+	8.32634i	1.33599	+	0.357977i	0.481044	+	0.876696i	$0.340258\pi$
$542$	−0.773787	+	0.446746i	−0.0332370	+	0.0191894i
$543$		−	10.8383i		−	0.465114i
$544$	7.05172	−	1.88950i	0.302340	−	0.0810118i
$545$	−11.7282			−0.502383
$546$	−3.20001	+	5.69654i	−0.136948	+	0.243789i
$547$	−13.1782			−0.563460			−0.281730	−	0.959494i	$-0.590908\pi$
$547$	−13.1782			−0.563460			−0.281730	+	0.959494i	$0.590908\pi$
$548$	−1.01293	+	0.271415i	−0.0432704	+	0.0115943i
$549$		−	32.0263i		−	1.36685i
$550$	−3.05059	+	1.76126i	−0.130078	+	0.0751004i
$551$	9.41234	+	2.52203i	0.400979	+	0.107442i
$552$	3.33505	+	12.4466i	0.141949	+	0.529761i
$553$	−4.68671	−	10.2700i	−0.199299	−	0.436724i
$554$	−3.21995	+	3.21995i	−0.136803	+	0.136803i
$555$	31.6644			1.34408
$556$	7.39198			0.313490
$557$	−2.88728	+	2.88728i	−0.122338	+	0.122338i	−0.765625	−	0.643287i	$-0.777570\pi$
$557$	−2.88728	+	2.88728i	−0.122338	+	0.122338i	0.643287	+	0.765625i	$0.277570\pi$
$558$	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
$562$	1.55000	−	2.68468i	0.0653828	−	0.113246i
$563$	10.2301	+	17.7191i	0.431149	+	0.746772i	0.996973	−	0.0777545i	$-0.0247750\pi$
$563$	10.2301	+	17.7191i	0.431149	+	0.746772i	−0.565824	+	0.824526i	$0.691442\pi$
$564$	−37.4319	+	10.0298i	−1.57617	+	0.422333i
$565$	19.3290	−	19.3290i	0.813177	−	0.813177i
$566$	3.81191	−	1.02140i	0.160227	−	0.0429326i
$567$	−21.2723	−	2.03720i	−0.893354	−	0.0855545i
$568$	−0.983208	+	1.70297i	−0.0412545	+	0.0714549i
$569$	8.00992	+	4.62453i	0.335793	+	0.193870i	0.658410	−	0.752659i	$-0.271229\pi$
$569$	8.00992	+	4.62453i	0.335793	+	0.193870i	−0.322617	+	0.946530i	$0.604563\pi$
$570$	1.21505	+	1.21505i	0.0508927	+	0.0508927i
$571$	−35.2658	−	20.3607i	−1.47583	−	0.852069i	−0.476198	−	0.879338i	$-0.657986\pi$
$571$	−35.2658	−	20.3607i	−1.47583	−	0.852069i	−0.999628	+	0.0272690i	$0.991319\pi$
$572$	−25.7321	+	18.7955i	−1.07591	+	0.785877i
$573$		−	15.8382i		−	0.661650i
$574$	0.618086	+	0.0591927i	0.0257984	+	0.00247066i
$575$	6.72885	+	11.6547i	0.280613	+	0.486035i
$576$		−	20.5504i		−	0.856267i
$577$	2.82885	+	10.5574i	0.117767	+	0.439511i	0.999479	−	0.0322762i	$-0.0102756\pi$
$577$	2.82885	+	10.5574i	0.117767	+	0.439511i	−0.881712	+	0.471788i	$0.843609\pi$
$578$	0.814608	−	3.04016i	0.0338832	−	0.126454i
$579$	21.1109	+	21.1109i	0.877337	+	0.877337i
$580$	−11.5914	−	11.5914i	−0.481305	−	0.481305i
$581$	−11.2123	+	9.25247i	−0.465166	+	0.383857i
$582$	1.68246	−	0.971367i	0.0697401	−	0.0402644i
$583$	−15.5432	−	58.0080i	−0.643733	−	2.40244i
$584$	1.26737	−	2.19515i	0.0524441	−	0.0908358i
$585$	10.3318	+	14.1449i	0.427169	+	0.584820i
$586$	−3.89810	+	2.25057i	−0.161029	+	0.0929703i
$587$	−15.6037	−	4.18099i	−0.644033	−	0.172568i	−0.0780032	−	0.996953i	$-0.524854\pi$
$587$	−15.6037	−	4.18099i	−0.644033	−	0.172568i	−0.566029	+	0.824385i	$0.691521\pi$
$588$	−11.0298	−	31.9256i	−0.454861	−	1.31659i
$589$	8.65597	+	4.99753i	0.356663	+	0.205920i
$590$	0.162233	−	0.605463i	0.00667904	−	0.0249265i
$591$	−4.99007	−	1.33708i	−0.205264	−	0.0550003i
$592$	29.3226	+	7.85696i	1.20515	+	0.322919i
$593$	−11.9735	+	44.6856i	−0.491691	+	1.83502i	0.0561324	+	0.998423i	$0.482123\pi$
$593$	−11.9735	+	44.6856i	−0.491691	+	1.83502i	−0.547824	+	0.836594i	$0.684544\pi$
$594$	−0.765937	−	0.442214i	−0.0314268	−	0.0181443i
$595$	−1.51860	−	9.04607i	−0.0622564	−	0.370853i
$596$	−43.4987	−	11.6554i	−1.78178	−	0.477425i
$597$	40.2902	−	23.2616i	1.64897	−	0.952033i
$598$	−2.78555	−	3.81358i	−0.113910	−	0.155949i
$599$	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	$0.0891843\pi$
$600$	1.95390	+	7.29204i	0.0797675	+	0.297696i
$601$	−11.5727	+	6.68152i	−0.472062	+	0.272545i	−0.717102	−	0.696968i	$-0.754532\pi$
$601$	−11.5727	+	6.68152i	−0.472062	+	0.272545i	0.245041	+	0.969513i	$0.421199\pi$
$602$	1.33026	+	0.496581i	0.0542173	+	0.0202391i
$603$	1.26572	+	1.26572i	0.0515439	+	0.0515439i
$604$	8.97487	+	8.97487i	0.365182	+	0.365182i
$605$	−3.85938	+	14.4034i	−0.156906	+	0.585582i
$606$	−1.88623	−	7.03952i	−0.0766230	−	0.285961i
$607$		−	34.1174i		−	1.38478i	−0.721522	−	0.692392i	$-0.756557\pi$
$607$		−	34.1174i		−	1.38478i	0.721522	−	0.692392i	$-0.243443\pi$
$608$	2.64142	+	4.57508i	0.107124	+	0.185544i
$609$	34.6908	−	15.8311i	1.40574	−	0.641510i
$610$		−	3.94921i		−	0.159899i
$611$	23.3829	−	17.0795i	0.945970	−	0.690963i
$612$	12.8114	+	7.39665i	0.517869	+	0.298992i
$613$	−2.87688	−	2.87688i	−0.116196	−	0.116196i	0.646618	−	0.762814i	$-0.276183\pi$
$613$	−2.87688	−	2.87688i	−0.116196	−	0.116196i	−0.762814	+	0.646618i	$0.776183\pi$
$614$	2.76996	+	1.59924i	0.111787	+	0.0645400i
$615$	1.59325	−	2.75959i	0.0642461	−	0.111277i
$616$	−1.24202	+	12.9691i	−0.0500424	+	0.522540i
$617$	−17.7169	+	4.74724i	−0.713257	+	0.191117i	−0.597161	−	0.802121i	$-0.703705\pi$
$617$	−17.7169	+	4.74724i	−0.713257	+	0.191117i	−0.116096	+	0.993238i	$0.537038\pi$
$618$	8.33776	−	8.33776i	0.335394	−	0.335394i
$619$	−35.0270	+	9.38547i	−1.40786	+	0.377234i	−0.881159	−	0.472820i	$-0.843236\pi$
$619$	−35.0270	+	9.38547i	−1.40786	+	0.377234i	−0.526697	+	0.850053i	$0.676570\pi$
$620$	−8.40718	−	14.5617i	−0.337641	−	0.584811i
$621$	−1.68947	+	2.92624i	−0.0677960	+	0.117426i
$622$	−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
$626$	1.15208	−	1.15208i	0.0460465	−	0.0460465i
$627$	−19.4943			−0.778526
$628$	−21.1042			−0.842148
$629$	−14.1293	+	14.1293i	−0.563373	+	0.563373i
$630$	3.49672	+	0.334873i	0.139313	+	0.0133417i
$631$	6.52992	+	24.3700i	0.259952	+	0.970153i	0.965268	+	0.261261i	$0.0841383\pi$
$631$	6.52992	+	24.3700i	0.259952	+	0.970153i	−0.705316	+	0.708893i	$0.749195\pi$
$632$	4.42119	+	1.18465i	0.175866	+	0.0471230i
$633$	6.09330	−	3.51797i	0.242187	−	0.139827i
$634$		−	3.53562i		−	0.140417i
$635$	4.16281	−	1.11542i	0.165196	−	0.0442642i
$636$	−63.1280			−2.50319
$637$	16.2922	+	19.2760i	0.645519	+	0.763744i
$638$	−7.21420			−0.285613
$639$	−5.80992	+	1.55676i	−0.229837	+	0.0615846i
$640$		−	11.7660i		−	0.465092i
$641$	−9.82660	+	5.67339i	−0.388127	+	0.224085i	−0.681348	−	0.731959i	$-0.738606\pi$
$641$	−9.82660	+	5.67339i	−0.388127	+	0.224085i	0.293221	+	0.956045i	$0.405273\pi$
$642$	2.68401	+	0.719177i	0.105929	+	0.0283837i
$643$	2.92632	+	10.9212i	0.115403	+	0.430690i	0.999317	−	0.0369602i	$-0.0117675\pi$
$643$	2.92632	+	10.9212i	0.115403	+	0.430690i	−0.883914	+	0.467650i	$0.845101\pi$
$644$	24.3027	+	2.32741i	0.957659	+	0.0917129i
$645$	5.15267	−	5.15267i	0.202886	−	0.202886i
$646$	−1.08436			−0.0426635
$647$	19.2816			0.758039			0.379020	−	0.925389i	$-0.376261\pi$
$647$	19.2816			0.758039			0.379020	+	0.925389i	$0.376261\pi$
$648$	6.12673	−	6.12673i	0.240681	−	0.240681i
$649$	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
$653$	−1.99409	+	3.45386i	−0.0780346	+	0.135160i	−0.902402	−	0.430895i	$-0.858198\pi$
$653$	−1.99409	+	3.45386i	−0.0780346	+	0.135160i	0.824367	+	0.566055i	$0.191531\pi$
$654$	2.71282	+	4.69874i	0.106080	+	0.183735i
$655$	14.1728	−	3.79759i	0.553777	−	0.148384i
$656$	2.16016	−	2.16016i	0.0843402	−	0.0843402i
$657$	7.48906	−	2.00669i	0.292176	−	0.0782883i
$658$	0.553578	−	5.78042i	0.0215807	−	0.225344i
$659$	−13.3526	+	23.1273i	−0.520143	+	0.900913i	0.479583	+	0.877496i	$0.340788\pi$
$659$	−13.3526	+	23.1273i	−0.520143	+	0.900913i	−0.999726	+	0.0234170i	$0.992545\pi$
$660$	28.4009	+	16.3973i	1.10550	+	0.638263i
$661$	10.0407	+	10.0407i	0.390539	+	0.390539i	0.874880	−	0.484340i	$-0.160940\pi$
$661$	10.0407	+	10.0407i	0.390539	+	0.390539i	−0.484340	+	0.874880i	$0.660940\pi$
$662$	−2.36509	−	1.36549i	−0.0919220	−	0.0530712i
$663$	−20.9077	−	3.25708i	−0.811990	−	0.126494i
$664$		−	5.89415i		−	0.228738i
$665$	6.03854	−	2.75569i	0.234164	−	0.106861i
$666$	−3.82609	−	6.62699i	−0.148258	−	0.256790i
$667$			27.5617i			1.06719i
$668$	12.1468	+	45.3325i	0.469974	+	1.75397i
$669$	−10.5217	+	39.2674i	−0.406791	+	1.51816i
$670$	0.156077	+	0.156077i	0.00602978	+	0.00602978i
$671$	31.6806	+	31.6806i	1.22302	+	1.22302i
$672$	19.3677	+	7.22990i	0.747127	+	0.278899i
$673$	34.5521	−	19.9487i	1.33189	−	0.768965i	0.346298	−	0.938124i	$-0.387439\pi$
$673$	34.5521	−	19.9487i	1.33189	−	0.768965i	0.985589	+	0.169159i	$0.0541052\pi$
$674$	−1.24013	−	4.62822i	−0.0477680	−	0.178273i
$675$	−0.989804	+	1.71439i	−0.0380976	+	0.0659869i
$676$	−16.8419	−	18.5150i	−0.647767	−	0.712114i
$677$	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
$679$	−1.24241	−	7.40085i	−0.0476792	−	0.284019i
$680$	3.22086	+	1.85956i	0.123514	+	0.0713110i
$681$	−1.13853	+	4.24906i	−0.0436286	+	0.162824i
$682$	−7.14765	−	1.91521i	−0.273698	−	0.0733371i
$683$	−11.2790	−	3.02219i	−0.431578	−	0.115641i	0.0364888	−	0.999334i	$-0.488383\pi$
$683$	−11.2790	−	3.02219i	−0.431578	−	0.115641i	−0.468067	+	0.883693i	$0.655049\pi$
$684$	−2.77063	+	10.3401i	−0.105938	+	0.395364i
$685$	−0.698384	−	0.403212i	−0.0266839	−	0.0154060i
$686$	5.05983	+	0.124651i	0.193185	+	0.00475918i
$687$	26.9785	+	7.22888i	1.02930	+	0.275799i
$688$	6.05014	−	3.49305i	0.230659	−	0.133171i
$689$	43.9941	−	17.0160i	1.67604	−	0.648259i
$690$	−2.43013	+	4.20911i	−0.0925135	+	0.160238i
$691$	−5.09630	−	19.0196i	−0.193872	−	0.723541i	−0.992556	−	0.121790i	$-0.961137\pi$
$691$	−5.09630	−	19.0196i	−0.193872	−	0.723541i	0.798684	−	0.601751i	$-0.205530\pi$
$692$	8.00308	−	4.62058i	0.304231	−	0.175648i
$693$	−30.7372	+	25.3644i	−1.16761	+	0.963515i
$694$	5.07347	+	5.07347i	0.192586	+	0.192586i
$695$	4.01950	+	4.01950i	0.152468	+	0.152468i
$696$	−4.00162	+	14.9343i	−0.151681	+	0.566081i
$697$	0.520446	+	1.94233i	0.0197133	+	0.0735710i
$698$			3.06352i			0.115956i
$699$	−25.5204	−	44.2027i	−0.965271	−	1.67190i
$700$	14.2381	+	1.36355i	0.538151	+	0.0515375i
$701$			1.58634i			0.0599153i	0.999551	+	0.0299577i	$0.00953725\pi$
$701$			1.58634i			0.0599153i	−0.999551	+	0.0299577i	$0.990463\pi$
$702$	0.280941	−	0.635340i	0.0106034	−	0.0239793i
$703$	−12.5223	−	7.22974i	−0.472287	−	0.272675i
$704$	20.3286	+	20.3286i	0.766163	+	0.766163i
$705$	−25.8081	−	14.9003i	−0.971988	−	0.561177i
$706$	−0.957033	+	1.65763i	−0.0360184	+	0.0623857i
$707$	−28.0234	−	2.68373i	−1.05393	−	0.100932i
$708$	7.22047	−	1.93472i	0.271362	−	0.0727111i
$709$	−12.2017	+	12.2017i	−0.458246	+	0.458246i	−0.898079	−	0.439834i	$-0.855037\pi$
$709$	−12.2017	+	12.2017i	−0.458246	+	0.458246i	0.439834	+	0.898079i	$0.355037\pi$
$710$	−0.716428	+	0.191966i	−0.0268871	+	0.00720437i
$711$	7.00029	+	12.1249i	0.262531	+	0.454718i
$712$	7.52517	−	13.0340i	0.282017	−	0.488469i
$713$	−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
$717$	−36.6314	+	36.6314i	−1.36802	+	1.36802i
$718$	−1.39693			−0.0521328
$719$	23.1711			0.864137			0.432069	−	0.901841i	$-0.357784\pi$
$719$	23.1711			0.864137			0.432069	+	0.901841i	$0.357784\pi$
$720$	12.2208	−	12.2208i	0.455441	−	0.455441i
$721$	−18.9098	−	41.4370i	−0.704237	−	1.54319i
$722$	1.14082	+	4.25761i	0.0424570	+	0.158452i
$723$	−34.5633	−	9.26120i	−1.28542	−	0.344428i
$724$	7.21053	−	4.16300i	0.267977	−	0.154717i
$725$			16.1475i			0.599703i
$726$	6.66321	−	1.78540i	0.247295	−	0.0662625i
$727$	18.3365			0.680062			0.340031	−	0.940414i	$-0.389562\pi$
$727$	18.3365			0.680062			0.340031	+	0.940414i	$0.389562\pi$
$728$	−10.2326	+	0.120562i	−0.379245	+	0.00446834i
$729$	31.8037			1.17792
$730$	0.923485	−	0.247447i	0.0341797	−	0.00915843i
$731$			4.59846i			0.170080i
$732$	40.7866	−	23.5482i	1.50752	−	0.870365i
$733$	−19.6316	−	5.26026i	−0.725108	−	0.194292i	−0.122658	−	0.992449i	$-0.539142\pi$
$733$	−19.6316	−	5.26026i	−0.725108	−	0.194292i	−0.602450	+	0.798157i	$0.705809\pi$
$734$	1.29987	+	4.85119i	0.0479791	+	0.179061i
$735$	11.3624	−	23.3577i	0.419110	−	0.861560i
$736$	−10.5659	+	10.5659i	−0.389463	+	0.389463i
$737$	−2.50411			−0.0922400
$738$	−0.770067			−0.0283465
$739$	−23.4876	+	23.4876i	−0.864004	+	0.864004i	−0.991800	−	0.127797i	$-0.959209\pi$
$739$	−23.4876	+	23.4876i	−0.864004	+	0.864004i	0.127797	+	0.991800i	$0.459209\pi$
$740$	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	−0.922620	−	0.385711i	$-0.873956\pi$
$743$	1.88756	−	7.04445i	0.0692477	−	0.258436i	0.991868	+	0.127275i	$0.0406230\pi$
$744$	−7.92941	+	13.7341i	−0.290706	+	0.503518i
$745$	−17.3153	−	29.9909i	−0.634382	−	1.09878i
$746$	5.50442	−	1.47491i	0.201531	−	0.0540001i
$747$	12.7484	−	12.7484i	0.466441	−	0.466441i
$748$	−19.9899	+	5.35628i	−0.730903	+	0.195845i
$749$	6.22848	−	8.74156i	0.227584	−	0.319410i
$750$	−3.95894	+	6.85709i	−0.144560	+	0.250385i
$751$	6.19866	+	3.57880i	0.226192	+	0.130592i	0.608814	−	0.793313i	$-0.291645\pi$
$751$	6.19866	+	3.57880i	0.226192	+	0.130592i	−0.382622	+	0.923905i	$0.624979\pi$
$752$	−20.2021	−	20.2021i	−0.736695	−	0.736695i
$753$	14.0882	+	8.13380i	0.513401	+	0.296412i
$754$	−0.606610	−	5.63390i	−0.0220915	−	0.205175i
$755$			9.76045i			0.355219i
$756$	1.49095	+	3.26712i	0.0542254	+	0.118824i
$757$	7.08185	+	12.2661i	0.257394	+	0.445820i	0.965543	−	0.260243i	$-0.0838027\pi$
$757$	7.08185	+	12.2661i	0.257394	+	0.445820i	−0.708149	+	0.706063i	$0.750469\pi$
$758$		−	7.62385i		−	0.276911i
$759$	−14.2710	−	53.2601i	−0.518005	−	1.93322i
$760$	−0.696552	+	2.59957i	−0.0252666	+	0.0942963i
$761$	−10.2079	−	10.2079i	−0.370038	−	0.370038i	0.497453	−	0.867491i	$-0.334269\pi$
$761$	−10.2079	−	10.2079i	−0.370038	−	0.370038i	−0.867491	+	0.497453i	$0.834269\pi$
$762$	−1.40976	−	1.40976i	−0.0510703	−	0.0510703i
$763$	20.6690	−	3.46978i	0.748268	−	0.125614i
$764$	10.5369	−	6.08348i	0.381212	−	0.220093i
$765$	2.94434	+	10.9884i	0.106453	+	0.397287i
$766$	3.35853	−	5.81714i	0.121349	−	0.210182i
$767$	−4.51047	+	3.29457i	−0.162863	+	0.118960i
$768$	22.4731	−	12.9748i	0.810926	−	0.468189i
$769$	48.9223	+	13.1087i	1.76418	+	0.472711i	0.987559	−	0.157252i	$-0.0502635\pi$
$769$	48.9223	+	13.1087i	1.76418	+	0.472711i	0.776625	+	0.629963i	$0.216930\pi$
$770$	−3.79024	+	3.12772i	−0.136591	+	0.112715i
$771$	−48.1761	−	27.8145i	−1.73502	−	1.00171i
$772$	−5.93600	+	22.1535i	−0.213641	+	0.797320i
$773$	−11.3142	−	3.03164i	−0.406944	−	0.109040i	0.0495394	−	0.998772i	$-0.484225\pi$
$773$	−11.3142	−	3.03164i	−0.406944	−	0.109040i	−0.456484	+	0.889732i	$0.650891\pi$
$774$	−1.70100	−	0.455783i	−0.0611414	−	0.0163828i
$775$	−4.28679	+	15.9985i	−0.153986	+	0.574684i
$776$	2.63508	+	1.52136i	0.0945938	+	0.0546137i
$777$	−55.8030	+	9.36785i	−2.00192	+	0.336070i
$778$	−6.46445	−	1.73215i	−0.231762	−	0.0621004i
$779$	−1.26016	+	0.727555i	−0.0451500	+	0.0260674i
$780$	−10.4173	+	23.5584i	−0.372999	+	0.843525i
$781$	4.20725	−	7.28716i	0.150547	−	0.260755i
$782$	−0.793818	−	2.96257i	−0.0283869	−	0.105941i
$783$	−3.51111	+	2.02714i	−0.125477	+	0.0724441i
$784$	16.3179	−	18.8108i	0.582782	−	0.671815i
$785$	−11.4757	−	11.4757i	−0.409586	−	0.409586i
$786$	−4.79971	−	4.79971i	−0.171200	−	0.171200i
$787$	9.10172	−	33.9681i	0.324441	−	1.21083i	−0.590431	−	0.807088i	$-0.701042\pi$
$787$	9.10172	−	33.9681i	0.324441	−	1.21083i	0.914872	−	0.403743i	$-0.132291\pi$
$788$	−1.02715	−	3.83339i	−0.0365908	−	0.136559i
$789$			25.3292i			0.901743i
$790$	0.863215	+	1.49513i	0.0307118	+	0.0531944i
$791$	−28.3456	+	39.7825i	−1.00785	+	1.41450i
$792$		−	16.1580i		−	0.574151i
$793$	−22.0770	+	27.4047i	−0.783976	+	0.973171i
$794$	4.58265	+	2.64579i	0.162632	+	0.0938956i
$795$	−34.3268	−	34.3268i	−1.21745	−	1.21745i
$796$	30.9511	+	17.8696i	1.09703	+	0.633373i
$797$	−4.21417	+	7.29915i	−0.149273	+	0.258549i	−0.930959	−	0.365123i	$-0.881027\pi$
$797$	−4.21417	+	7.29915i	−0.149273	+	0.258549i	0.781686	+	0.623673i	$0.214360\pi$
$798$	−2.50078	−	1.78184i	−0.0885265	−	0.0630764i
$799$	18.1649	−	4.86727i	0.642629	−	0.172192i
$800$	−6.19019	+	6.19019i	−0.218856	+	0.218856i
$801$	44.4673	−	11.9150i	1.57117	−	0.420995i
$802$	−1.80750	−	3.13068i	−0.0638249	−	0.110548i
$803$	−5.42319	+	9.39325i	−0.191380	+	0.331480i
$804$	−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
$808$	8.07112	−	8.07112i	0.283941	−	0.283941i
$809$	38.9122			1.36808			0.684040	−	0.729445i	$-0.260222\pi$
$809$	38.9122			1.36808			0.684040	+	0.729445i	$0.260222\pi$
$810$	3.26812			0.114830
$811$	33.4503	−	33.4503i	1.17460	−	1.17460i	0.193499	−	0.981101i	$-0.438016\pi$
$811$	33.4503	−	33.4503i	1.17460	−	1.17460i	0.981101	−	0.193499i	$-0.0619836\pi$
$812$	23.8570	+	16.9985i	0.837217	+	0.596529i
$813$	−2.12076	−	7.91477i	−0.0743782	−	0.277583i
$814$	10.3402	+	2.77066i	0.362425	+	0.0971116i
$815$	−4.95793	+	2.86246i	−0.173669	+	0.100268i
$816$			20.8777i			0.730865i
$817$	−3.21420	+	0.861242i	−0.112451	+	0.0301311i
$818$	6.80553			0.237950
$819$	−22.3928	−	21.8713i	−0.782468	−	0.764244i
$820$	2.44788			0.0854838
$821$	45.9251	−	12.3056i	1.60280	−	0.429468i	0.656912	−	0.753968i	$-0.271862\pi$
$821$	45.9251	−	12.3056i	1.60280	−	0.429468i	0.945886	+	0.324499i	$0.105196\pi$
$822$			0.373063i			0.0130121i
$823$	31.5629	−	18.2229i	1.10022	−	0.635210i	0.163938	−	0.986471i	$-0.447580\pi$
$823$	31.5629	−	18.2229i	1.10022	−	0.635210i	0.936278	+	0.351261i	$0.114247\pi$
$824$	17.8385	+	4.77980i	0.621433	+	0.166512i
$825$	−8.36092	−	31.2034i	−0.291090	−	1.08636i
$826$	−0.106783	+	1.11502i	−0.00371545	+	0.0387965i
$827$	4.04107	−	4.04107i	0.140522	−	0.140522i	−0.633347	−	0.773868i	$-0.718319\pi$
$827$	4.04107	−	4.04107i	0.140522	−	0.140522i	0.773868	+	0.633347i	$0.218319\pi$
$828$	−30.2784			−1.05225
$829$	−35.5680			−1.23533			−0.617664	−	0.786442i	$-0.711921\pi$
$829$	−35.5680			−1.23533			−0.617664	+	0.786442i	$0.711921\pi$
$830$	1.57203	−	1.57203i	0.0545659	−	0.0545659i
$831$	−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
$835$	−18.0452	+	31.2552i	−0.624481	+	1.08163i
$836$	−7.48778	−	12.9692i	−0.258970	−	0.448550i
$837$	−4.01688	+	1.07632i	−0.138844	+	0.0372030i
$838$	−3.12169	+	3.12169i	−0.107837	+	0.107837i
$839$	14.5158	−	3.88950i	0.501142	−	0.134280i	0.000611847	−	1.00000i	$-0.499805\pi$
$839$	14.5158	−	3.88950i	0.501142	−	0.134280i	0.500530	+	0.865719i	$0.333139\pi$
$840$	4.37236	+	9.58115i	0.150861	+	0.330581i
$841$	−2.03520	+	3.52507i	−0.0701793	+	0.121554i
$842$	−4.28596	−	2.47450i	−0.147704	−	0.0852769i
$843$	20.1025	+	20.1025i	0.692367	+	0.692367i
$844$	4.68090	+	2.70252i	0.161123	+	0.0930246i
$845$	0.909733	−	19.2259i	0.0312958	−	0.661389i
$846$			7.20176i			0.247602i
$847$	2.54027	−	26.5253i	0.0872847	−	0.911420i
$848$	−23.2705	−	40.3057i	−0.799113	−	1.38410i
$849$			36.1912i			1.24208i
$850$	−0.465072	−	1.73567i	−0.0159518	−	0.0595331i
$851$	10.5852	−	39.5047i	0.362857	−	1.35420i
$852$	−6.25448	−	6.25448i	−0.214275	−	0.214275i
$853$	−11.5963	−	11.5963i	−0.397050	−	0.397050i	0.480141	−	0.877191i	$-0.340585\pi$
$853$	−11.5963	−	11.5963i	−0.397050	−	0.397050i	−0.877191	+	0.480141i	$0.840585\pi$
$854$	1.16836	+	6.95979i	0.0399806	+	0.238159i
$855$	−7.12916	+	4.11603i	−0.243812	+	0.140765i
$856$	1.12638	+	4.20371i	0.0384989	+	0.143680i
$857$	23.4161	−	40.5579i	0.799880	−	1.38543i	−0.119814	−	0.992796i	$-0.538230\pi$
$857$	23.4161	−	40.5579i	0.799880	−	1.38543i	0.919694	−	0.392637i	$-0.128437\pi$
$858$	4.08936	+	10.5728i	0.139608	+	0.360951i
$859$	−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
$861$	−1.99141	+	5.33466i	−0.0678670	+	0.181805i
$862$	5.29211	+	3.05540i	0.180250	+	0.104067i
$863$	1.86062	−	6.94395i	0.0633364	−	0.236375i	−0.927000	−	0.375062i	$-0.877622\pi$
$863$	1.86062	−	6.94395i	0.0633364	−	0.236375i	0.990336	+	0.138687i	$0.0442882\pi$
$864$	−2.12311	−	0.568884i	−0.0722295	−	0.0193538i
$865$	6.86431	+	1.83929i	0.233393	+	0.0625376i
$866$	1.30355	−	4.86491i	0.0442964	−	0.165316i
$867$	24.9969	+	14.4320i	0.848940	+	0.490136i
$868$	19.1242	+	23.1751i	0.649119	+	0.786616i
$869$	−18.9187	−	5.06925i	−0.641773	−	0.171963i
$870$	−5.05038	+	2.91584i	−0.171224	+	0.0988562i
$871$	−0.210559	−	1.95557i	−0.00713453	−	0.0662621i
$872$	−4.24884	+	7.35921i	−0.143884	+	0.249214i
$873$	2.40885	+	8.98995i	0.0815272	+	0.304264i
$874$	1.92208	−	1.10971i	0.0650154	−	0.0375366i
$875$	19.4668	+	23.5903i	0.658099	+	0.797498i
$876$	8.06211	+	8.06211i	0.272393	+	0.272393i
$877$	−22.4699	−	22.4699i	−0.758755	−	0.758755i	0.217341	−	0.976096i	$-0.430262\pi$
$877$	−22.4699	−	22.4699i	−0.758755	−	0.758755i	−0.976096	+	0.217341i	$0.930262\pi$
$878$	−1.10342	+	4.11802i	−0.0372386	+	0.138976i
$879$	−10.6837	−	39.8722i	−0.360353	−	1.34486i
$880$			24.1777i			0.815031i
$881$	8.45038	+	14.6365i	0.284701	+	0.493116i	0.972537	−	0.232750i	$-0.0747725\pi$
$881$	8.45038	+	14.6365i	0.284701	+	0.493116i	−0.687836	+	0.725866i	$0.741439\pi$
$882$	−6.26144	+	0.444343i	−0.210834	+	0.0149618i
$883$			21.1502i			0.711760i	0.934532	+	0.355880i	$0.115819\pi$
$883$			21.1502i			0.711760i	−0.934532	+	0.355880i	$0.884181\pi$
$884$	−5.86383	−	15.1606i	−0.197222	−	0.509908i
$885$	4.97827	+	2.87421i	0.167343	+	0.0966154i
$886$	5.71804	+	5.71804i	0.192101	+	0.192101i
$887$	−8.83730	−	5.10222i	−0.296727	−	0.171316i	0.344244	−	0.938880i	$-0.388135\pi$
$887$	−8.83730	−	5.10222i	−0.296727	−	0.171316i	−0.640972	+	0.767564i	$0.721468\pi$
$888$	11.4712	−	19.8687i	0.384948	−	0.666750i
$889$	−7.00623	+	3.19730i	−0.234982	+	0.107234i
$890$	5.48332	−	1.46925i	0.183801	−	0.0492494i
$891$	−26.2169	+	26.2169i	−0.878299	+	0.878299i
$892$	−30.1654	+	8.08278i	−1.01001	+	0.270632i
$893$	6.80419	+	11.7852i	0.227693	+	0.394377i
$894$	−8.01026	+	13.8742i	−0.267903	+	0.464022i
$895$	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
$899$	−23.9859	+	23.9859i	−0.799974	+	0.799974i
$900$	−17.7391			−0.591305
$901$	30.6347			1.02059
$902$	0.761755	−	0.761755i	0.0253637	−	0.0253637i
$903$	−7.55628	+	10.6051i	−0.251457	+	0.352916i
$904$	−5.12611	−	19.1309i	−0.170492	−	0.636285i
$905$	6.18453	+	1.65714i	0.205581	+	0.0550852i
$906$	3.91037	−	2.25765i	0.129913	−	0.0750056i
$907$		−	15.6924i		−	0.521059i	−0.965466	−	0.260529i	$-0.916103\pi$
$907$		−	15.6924i		−	0.521059i	0.965466	−	0.260529i	$-0.0838971\pi$
$908$	−3.26415	+	0.874625i	−0.108324	+	0.0290255i
$909$	34.9140			1.15802
$910$	−2.76129	−	2.69698i	−0.0915358	−	0.0894039i
$911$	−23.8232			−0.789296			−0.394648	−	0.918832i	$-0.629134\pi$
$911$	−23.8232			−0.789296			−0.394648	+	0.918832i	$0.629134\pi$
$912$	−14.5929	+	3.91017i	−0.483220	+	0.129479i
$913$			25.2217i			0.834715i
$914$	−8.20378	+	4.73645i	−0.271357	+	0.156668i
$915$	34.9830	+	9.37367i	1.15650	+	0.309884i
$916$	5.55326	+	20.7250i	0.183485	+	0.684774i
$917$	−23.8536	+	10.8856i	−0.787715	+	0.359474i
$918$	0.319020	−	0.319020i	0.0105292	−	0.0105292i
$919$	−8.03295			−0.264983			−0.132491	−	0.991184i	$-0.542298\pi$
$919$	−8.03295			−0.264983			−0.132491	+	0.991184i	$0.542298\pi$
$920$	−7.61218			−0.250966
$921$	−20.7411	+	20.7411i	−0.683442	+	0.683442i
$922$	−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
$926$	0.694867	−	1.20355i	0.0228348	−	0.0395509i
$927$	28.2445	+	48.9210i	0.927672	+	1.60678i
$928$	−17.3180	+	4.64034i	−0.568491	+	0.152327i
$929$	−9.07632	+	9.07632i	−0.297785	+	0.297785i	−0.840146	−	0.542361i	$-0.817531\pi$
$929$	−9.07632	+	9.07632i	−0.297785	+	0.297785i	0.542361	+	0.840146i	$0.317531\pi$
$930$	−5.77788	+	1.54818i	−0.189464	+	0.0507668i
$931$	−9.82661	+	6.64291i	−0.322054	+	0.217713i
$932$	19.6049	−	33.9567i	0.642180	−	1.11229i
$933$	−28.0045	−	16.1684i	−0.916827	−	0.529331i
$934$	4.66195	+	4.66195i	0.152544	+	0.152544i
$935$	−13.7824	−	7.95725i	−0.450732	−	0.260230i
$936$	12.6186	−	1.35866i	0.412451	−	0.0444092i
$937$			19.3918i			0.633501i	0.948509	+	0.316751i	$0.102592\pi$
$937$			19.3918i			0.633501i	−0.948509	+	0.316751i	$0.897408\pi$
$938$	−0.321234	−	0.228884i	−0.0104887	−	0.00747331i
$939$	7.47089	+	12.9400i	0.243803	+	0.422279i
$940$		−	22.8929i		−	0.746685i
$941$	−0.688857	−	2.57085i	−0.0224561	−	0.0838073i	0.953788	−	0.300479i	$-0.0971465\pi$
$941$	−0.688857	−	2.57085i	−0.0224561	−	0.0838073i	−0.976245	+	0.216672i	$0.930480\pi$
$942$	−1.94316	+	7.25197i	−0.0633116	+	0.236282i
$943$	−2.91026	−	2.91026i	−0.0947713	−	0.0947713i
$944$	3.89691	+	3.89691i	0.126834	+	0.126834i
$945$	−0.965819	+	2.58727i	−0.0314181	+	0.0841640i
$946$	2.13351	−	1.23178i	0.0693663	−	0.0400487i
$947$	5.20734	+	19.4341i	0.169216	+	0.631523i	0.997465	+	0.0711620i	$0.0226707\pi$
$947$	5.20734	+	19.4341i	0.169216	+	0.631523i	−0.828249	+	0.560360i	$0.810663\pi$
$948$	−10.2943	+	17.8302i	−0.334343	+	0.579099i
$949$	−7.79163	−	3.44538i	−0.252927	−	0.111842i
$950$	1.12608	−	0.650145i	0.0365350	−	0.0210935i
$951$	31.3194	+	8.39200i	1.01560	+	0.272129i
$952$	−6.22635	−	2.32427i	−0.201797	−	0.0753301i
$953$	24.0417	+	13.8805i	0.778788	+	0.449634i	0.836001	−	0.548728i	$-0.184888\pi$
$953$	24.0417	+	13.8805i	0.778788	+	0.449634i	−0.0572123	+	0.998362i	$0.518221\pi$
$954$	−3.03640	+	11.3320i	−0.0983071	+	0.366887i
$955$	9.03758	+	2.42161i	0.292449	+	0.0783616i
$956$	−38.4405	−	10.3001i	−1.24325	−	0.333129i
$957$	17.1233	−	63.9052i	0.553519	−	2.06576i
$958$	−5.79773	−	3.34732i	−0.187316	−	0.108147i
$959$	1.35007	+	0.503976i	0.0435960	+	0.0162742i
$960$	22.4477	+	6.01483i	0.724495	+	0.194128i
$961$	−3.28554	+	1.89691i	−0.105985	+	0.0611906i
$962$	−1.29427	+	8.30815i	−0.0417290	+	0.267865i
$963$	−6.65595	+	11.5284i	−0.214485	+	0.371499i
$964$	−7.11450	−	26.5517i	−0.229143	−	0.855171i
$965$	−15.2741	+	8.81849i	−0.491690	+	0.283877i
$966$	3.03742	−	8.13677i	0.0977275	−	0.261796i
$967$	−4.10934	−	4.10934i	−0.132147	−	0.132147i	0.637939	−	0.770087i	$-0.279787\pi$
$967$	−4.10934	−	4.10934i	−0.132147	−	0.132147i	−0.770087	+	0.637939i	$0.779787\pi$
$968$	7.63966	+	7.63966i	0.245548	+	0.245548i
$969$	2.57379	−	9.60551i	0.0826820	−	0.308573i
$970$	0.297038	+	1.10856i	0.00953733	+	0.0355938i
$971$			21.7688i			0.698593i	0.937012	+	0.349296i	$0.113579\pi$
$971$			21.7688i			0.698593i	−0.937012	+	0.349296i	$0.886421\pi$
$972$	21.5230	+	37.2790i	0.690352	+	1.19572i
$973$	−8.27283	−	5.89451i	−0.265215	−	0.188969i
$974$			10.4453i			0.334690i
$975$	23.6651	−	9.15318i	0.757890	−	0.293136i
$976$	30.0699	+	17.3608i	0.962513	+	0.555707i
$977$	−6.54075	−	6.54075i	−0.209257	−	0.209257i	0.594695	−	0.803952i	$-0.297273\pi$
$977$	−6.54075	−	6.54075i	−0.209257	−	0.209257i	−0.803952	+	0.594695i	$0.797273\pi$
$978$	2.29360	+	1.32421i	0.0733413	+	0.0423436i
$979$	−32.2009	+	55.7736i	−1.02915	+	1.78253i
$980$	19.9038	−	1.41248i	0.635804	−	0.0451199i
$981$	−25.1070	+	6.72740i	−0.801605	+	0.214789i
$982$	2.27948	−	2.27948i	0.0727411	−	0.0727411i
$983$	−53.1178	+	14.2329i	−1.69420	+	0.453958i	−0.971467	−	0.237174i	$-0.923779\pi$
$983$	−53.1178	+	14.2329i	−1.69420	+	0.453958i	−0.722729	+	0.691132i	$0.757112\pi$
$984$	−1.15439	−	1.99946i	−0.0368005	−	0.0637404i
$985$	1.52593	−	2.64299i	0.0486203	−	0.0842128i
$986$	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
$990$	4.30951	−	4.30951i	0.136965	−	0.136965i
$991$	−4.69901			−0.149269			−0.0746345	−	0.997211i	$-0.523779\pi$
$991$	−4.69901			−0.149269			−0.0746345	+	0.997211i	$0.523779\pi$
$992$	−18.3901			−0.583887
$993$	17.7095	−	17.7095i	0.561995	−	0.561995i
$994$	1.20579	−	0.550261i	0.0382453	−	0.0174532i
$995$	7.11326	+	26.5470i	0.225505	+	0.841598i
$996$	25.6092	+	6.86197i	0.811459	+	0.217430i
$997$	14.6274	−	8.44515i	0.463255	−	0.267461i	−0.250157	−	0.968205i	$-0.580482\pi$
$997$	14.6274	−	8.44515i	0.463255	−	0.267461i	0.713412	+	0.700745i	$0.247149\pi$
$998$		−	4.18453i		−	0.132459i
$999$	5.81107	−	1.55707i	0.183854	−	0.0492636i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	91.2.w.a.24.4	yes	28
3.2	odd	2		819.2.gh.b.388.4		28
7.2	even	3		637.2.bb.a.362.4		28
7.3	odd	6		637.2.bd.b.440.4		28
7.4	even	3		637.2.bd.a.440.4		28
7.5	odd	6		91.2.ba.a.89.4	yes	28
7.6	odd	2		637.2.x.a.570.4		28
13.6	odd	12		91.2.ba.a.45.4	yes	28
21.5	even	6		819.2.et.b.271.4		28
39.32	even	12		819.2.et.b.136.4		28
91.6	even	12		637.2.bb.a.227.4		28
91.19	even	12	inner	91.2.w.a.19.4	✓	28
91.32	odd	12		637.2.bd.b.97.4		28
91.45	even	12		637.2.bd.a.97.4		28
91.58	odd	12		637.2.x.a.19.4		28
273.110	odd	12		819.2.gh.b.19.4		28

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
91.2.w.a.19.4	✓	28	91.19	even	12	inner
91.2.w.a.24.4	yes	28	1.1	even	1	trivial
91.2.ba.a.45.4	yes	28	13.6	odd	12
91.2.ba.a.89.4	yes	28	7.5	odd	6
637.2.x.a.19.4		28	91.58	odd	12
637.2.x.a.570.4		28	7.6	odd	2
637.2.bb.a.227.4		28	91.6	even	12
637.2.bb.a.362.4		28	7.2	even	3
637.2.bd.a.97.4		28	91.45	even	12
637.2.bd.a.440.4		28	7.4	even	3
637.2.bd.b.97.4		28	91.32	odd	12
637.2.bd.b.440.4		28	7.3	odd	6
819.2.et.b.136.4		28	39.32	even	12
819.2.et.b.271.4		28	21.5	even	6
819.2.gh.b.19.4		28	273.110	odd	12
819.2.gh.b.388.4		28	3.2	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(0.263976 - 0.0707322i) q^{2} +2.50625i q^{3} +(-1.66737 + 0.962657i) q^{4} +(-1.43012 - 0.383199i) q^{5} +(0.177273 + 0.661591i) q^{6} +(2.63370 + 0.252224i) q^{7} +(-0.758543 + 0.758543i) q^{8} -3.28130 q^{9} +O(q^{10})\)	\(q+(0.263976 - 0.0707322i) q^{2} +2.50625i q^{3} +(-1.66737 + 0.962657i) q^{4} +(-1.43012 - 0.383199i) q^{5} +(0.177273 + 0.661591i) q^{6} +(2.63370 + 0.252224i) q^{7} +(-0.758543 + 0.758543i) q^{8} -3.28130 q^{9} -0.404621 q^{10} +(3.24588 - 3.24588i) 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} +(1.77873 - 3.08085i) q^{16} +(1.17081 + 2.02791i) q^{17} +(-0.866185 + 0.232094i) q^{18} +(-1.19817 + 1.19817i) q^{19} +(2.75342 - 0.737778i) q^{20} +(-0.632136 + 6.60072i) q^{21} +(0.627247 - 1.08642i) q^{22} +(-4.15065 - 2.39638i) q^{23} +(-1.90110 - 1.90110i) q^{24} +(-2.43173 - 1.40396i) q^{25} +(0.901181 + 0.398494i) q^{26} -0.705008i q^{27} +(-4.63416 + 2.11480i) q^{28} +(-2.87534 - 4.98024i) q^{29} -1.01408i q^{30} +(-1.52668 - 5.69764i) q^{31} +(0.806919 - 3.01146i) q^{32} +(8.13500 + 8.13500i) q^{33} +(0.452505 + 0.452505i) q^{34} +(-3.66985 - 1.36994i) q^{35} +(5.47114 - 3.15877i) q^{36} +(2.20859 + 8.24256i) q^{37} +(-0.231540 + 0.401038i) q^{38} +(-5.66896 + 7.03703i) q^{39} +(1.37548 - 0.794133i) q^{40} +(0.829479 + 0.222258i) q^{41} +(0.300015 + 1.78715i) q^{42} +(1.70069 + 0.981895i) q^{43} +(-2.28742 + 8.53676i) q^{44} +(4.69264 + 1.25739i) q^{45} +(-1.26518 - 0.339003i) q^{46} +(2.07859 - 7.75739i) q^{47} +(7.72139 + 4.45794i) q^{48} +(6.87277 + 1.32856i) q^{49} +(-0.741225 - 0.198611i) q^{50} +(-5.08245 + 2.93435i) q^{51} +(-6.85909 - 1.06853i) q^{52} +(6.54133 - 11.3299i) q^{53} +(-0.0498668 - 0.186105i) q^{54} +(-5.88581 + 3.39817i) q^{55} +(-2.18910 + 1.80645i) q^{56} +(-3.00292 - 3.00292i) q^{57} +(-1.11129 - 1.11129i) q^{58} +(-0.400951 + 1.49637i) q^{59} +(1.84906 + 6.90078i) q^{60} +9.76025i q^{61} +(-0.806013 - 1.39606i) q^{62} +(-8.64196 - 0.827621i) q^{63} +6.26289i q^{64} +(-3.14870 - 4.31076i) q^{65} +(2.72285 + 1.57204i) q^{66} +(-0.385736 - 0.385736i) q^{67} +(-3.90436 - 2.25418i) q^{68} +(6.00594 - 10.4026i) q^{69} +(-1.06565 - 0.102055i) q^{70} +(1.77061 - 0.474435i) q^{71} +(2.48901 - 2.48901i) q^{72} +(-2.28234 + 0.611552i) q^{73} +(1.16603 + 2.01962i) q^{74} +(3.51868 - 6.09453i) 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} +(-3.72437 + 3.72437i) q^{80} -8.07697 q^{81} +0.234683 q^{82} +(-3.88518 + 3.88518i) q^{83} +(-5.30022 - 11.6144i) q^{84} +(-0.897309 - 3.34880i) q^{85} +(0.518394 + 0.138903i) q^{86} +(12.4817 - 7.20634i) q^{87} +4.92428i q^{88} +(-13.5517 + 3.63117i) q^{89} +1.32768 q^{90} +(6.82437 + 6.66543i) q^{91} +9.22757 q^{92} +(14.2797 - 3.82624i) q^{93} -2.19479i q^{94} +(2.17267 - 1.25439i) q^{95} +(7.54749 + 2.02234i) q^{96} +(-0.734114 - 2.73975i) q^{97} +(1.90822 - 0.135417i) q^{98} +(-10.6507 + 10.6507i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9}+O(q^{10}) \) 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9	\( 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9} - 12 q^{10} + 2 q^{11} + 8 q^{12} - 20 q^{14} + 10 q^{15} - 2 q^{16} - 6 q^{17} - 4 q^{18} - 8 q^{19} - 36 q^{20} - 2 q^{21} - 8 q^{22} - 6 q^{23} + 12 q^{24} + 24 q^{26} - 18 q^{28} - 8 q^{29} - 38 q^{31} - 20 q^{32} + 18 q^{33} + 12 q^{34} - 2 q^{35} + 54 q^{36} - 16 q^{37} + 28 q^{39} + 48 q^{40} + 18 q^{41} - 4 q^{42} + 48 q^{43} - 6 q^{44} + 12 q^{45} + 18 q^{46} - 42 q^{47} + 12 q^{48} + 8 q^{49} + 10 q^{50} + 12 q^{51} - 28 q^{52} + 12 q^{53} - 30 q^{54} - 6 q^{55} - 24 q^{56} + 12 q^{57} + 62 q^{58} - 6 q^{59} + 16 q^{60} - 36 q^{62} - 38 q^{63} - 2 q^{65} + 66 q^{66} - 4 q^{67} + 30 q^{68} + 42 q^{69} + 68 q^{70} - 42 q^{71} - 38 q^{72} + 14 q^{73} - 6 q^{74} - 20 q^{75} + 52 q^{76} - 62 q^{78} + 4 q^{79} + 12 q^{80} + 12 q^{81} - 108 q^{82} - 66 q^{83} - 56 q^{84} - 54 q^{85} - 30 q^{86} + 42 q^{87} - 30 q^{89} - 72 q^{90} - 42 q^{91} - 156 q^{92} + 14 q^{93} - 6 q^{95} + 18 q^{96} + 62 q^{97} + 112 q^{98} - 36 q^{99}+O(q^{100}) \) 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9 - 12 * q^10 + 2 * q^11 + 8 * q^12 - 20 * q^14 + 10 * q^15 - 2 * q^16 - 6 * q^17 - 4 * q^18 - 8 * q^19 - 36 * q^20 - 2 * q^21 - 8 * q^22 - 6 * q^23 + 12 * q^24 + 24 * q^26 - 18 * q^28 - 8 * q^29 - 38 * q^31 - 20 * q^32 + 18 * q^33 + 12 * q^34 - 2 * q^35 + 54 * q^36 - 16 * q^37 + 28 * q^39 + 48 * q^40 + 18 * q^41 - 4 * q^42 + 48 * q^43 - 6 * q^44 + 12 * q^45 + 18 * q^46 - 42 * q^47 + 12 * q^48 + 8 * q^49 + 10 * q^50 + 12 * q^51 - 28 * q^52 + 12 * q^53 - 30 * q^54 - 6 * q^55 - 24 * q^56 + 12 * q^57 + 62 * q^58 - 6 * q^59 + 16 * q^60 - 36 * q^62 - 38 * q^63 - 2 * q^65 + 66 * q^66 - 4 * q^67 + 30 * q^68 + 42 * q^69 + 68 * q^70 - 42 * q^71 - 38 * q^72 + 14 * q^73 - 6 * q^74 - 20 * q^75 + 52 * q^76 - 62 * q^78 + 4 * q^79 + 12 * q^80 + 12 * q^81 - 108 * q^82 - 66 * q^83 - 56 * q^84 - 54 * q^85 - 30 * q^86 + 42 * q^87 - 30 * q^89 - 72 * q^90 - 42 * q^91 - 156 * q^92 + 14 * q^93 - 6 * q^95 + 18 * q^96 + 62 * q^97 + 112 * q^98 - 36 * q^99

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