LMFDB - Embedded newform 280.2.br.a.107.39

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(67,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))

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

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

chi := DirichletCharacter("280.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.br (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:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$176$
Relative dimension:	$44$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			107.39
Character	$\chi$	$=$	280.107
Dual form			280.2.br.a.123.39

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.27815 + 0.605265i) q^{2} +(2.01658 + 0.540340i) q^{3} +(1.26731 + 1.54723i) q^{4} +(-2.01210 + 0.975426i) q^{5} +(2.25043 + 1.91120i) q^{6} +(2.04940 - 1.67330i) q^{7} +(0.683321 + 2.74464i) q^{8} +(1.17654 + 0.679275i) q^{9} +O(q^{10})$	\(q+(1.27815 + 0.605265i) q^{2} +(2.01658 + 0.540340i) q^{3} +(1.26731 + 1.54723i) q^{4} +(-2.01210 + 0.975426i) q^{5} +(2.25043 + 1.91120i) q^{6} +(2.04940 - 1.67330i) q^{7} +(0.683321 + 2.74464i) q^{8} +(1.17654 + 0.679275i) q^{9} +(-3.16215 + 0.0288829i) q^{10} +(-2.35929 - 4.08641i) q^{11} +(1.71960 + 3.80489i) q^{12} +(-3.68344 - 3.68344i) q^{13} +(3.63223 - 0.898295i) q^{14} +(-4.58461 + 0.879803i) q^{15} +(-0.787853 + 3.92164i) q^{16} +(-1.60409 + 5.98656i) q^{17} +(1.09265 + 1.58033i) q^{18} +(2.62179 + 1.51369i) q^{19} +(-4.05916 - 1.87702i) q^{20} +(5.03693 - 2.26697i) q^{21} +(-0.542155 - 6.65101i) q^{22} +(1.38751 - 0.371783i) q^{23} +(-0.105073 + 5.90401i) q^{24} +(3.09709 - 3.92531i) q^{25} +(-2.47852 - 6.93744i) q^{26} +(-2.42317 - 2.42317i) q^{27} +(5.18622 + 1.05031i) q^{28} +3.08965 q^{29} +(-6.39232 - 1.65039i) q^{30} +(-0.111644 + 0.0644574i) q^{31} +(-3.38062 + 4.53557i) q^{32} +(-2.54964 - 9.51537i) q^{33} +(-5.67371 + 6.68079i) q^{34} +(-2.49142 + 5.36590i) q^{35} +(0.440043 + 2.68123i) q^{36} +(-0.568688 - 2.12237i) q^{37} +(2.43484 + 3.52159i) q^{38} +(-5.43764 - 9.41826i) q^{39} +(-4.05211 - 4.85597i) q^{40} +1.37721 q^{41} +(7.81005 + 0.151156i) q^{42} +(2.05196 - 2.05196i) q^{43} +(3.33267 - 8.82911i) q^{44} +(-3.02989 - 0.219143i) q^{45} +(1.99847 + 0.364620i) q^{46} +(2.96456 + 11.0639i) q^{47} +(-3.70779 + 7.48259i) q^{48} +(1.40010 - 6.85855i) q^{49} +(6.33438 - 3.14255i) q^{50} +(-6.46955 + 11.2056i) q^{51} +(1.03108 - 10.3672i) q^{52} +(0.758163 - 2.82950i) q^{53} +(-1.63050 - 4.56382i) q^{54} +(8.73311 + 5.92095i) q^{55} +(5.99303 + 4.48148i) q^{56} +(4.46913 + 4.46913i) q^{57} +(3.94902 + 1.87006i) q^{58} +(-11.1239 + 6.42236i) q^{59} +(-7.17139 - 5.97848i) q^{60} +(-5.49729 - 3.17386i) q^{61} +(-0.181710 + 0.0148121i) q^{62} +(3.54783 - 0.576599i) q^{63} +(-7.06615 + 3.75095i) q^{64} +(11.0044 + 3.81853i) q^{65} +(2.50051 - 13.7052i) q^{66} +(-1.95145 + 7.28290i) q^{67} +(-11.2955 + 5.10492i) q^{68} +2.99892 q^{69} +(-6.43218 + 5.35043i) q^{70} +1.96950i q^{71} +(-1.06041 + 3.69334i) q^{72} +(-0.768076 - 0.205805i) q^{73} +(0.557731 - 3.05690i) q^{74} +(8.36652 - 6.24220i) q^{75} +(0.980587 + 5.97482i) q^{76} +(-11.6729 - 4.42689i) q^{77} +(-1.24955 - 15.3291i) q^{78} +(-0.00532584 + 0.00922462i) q^{79} +(-2.24003 - 8.65923i) q^{80} +(-5.61500 - 9.72546i) q^{81} +(1.76027 + 0.833574i) q^{82} +(4.27536 - 4.27536i) q^{83} +(9.89088 + 4.92035i) q^{84} +(-2.61185 - 13.6102i) q^{85} +(3.86467 - 1.38072i) q^{86} +(6.23052 + 1.66946i) q^{87} +(9.60358 - 9.26773i) q^{88} +(-6.15365 - 3.55281i) q^{89} +(-3.74000 - 2.11398i) q^{90} +(-13.7124 - 1.38534i) q^{91} +(2.33364 + 1.67564i) q^{92} +(-0.259967 + 0.0696579i) q^{93} +(-2.90744 + 15.9356i) q^{94} +(-6.75179 - 0.488335i) q^{95} +(-9.26803 + 7.31964i) q^{96} +(8.22842 + 8.22842i) q^{97} +(5.94077 - 7.91879i) q^{98} -6.41042i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$-1$	$e\left(\frac{1}{3}\right)$

Coefficient data

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

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

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

$2$	1.27815	+	0.605265i	0.903785	+	0.427987i
$2$	1.27815	+	0.605265i	0.903785	+	0.427987i
$3$	2.01658	+	0.540340i	1.16427	+	0.311966i	0.788671	−	0.614816i	$-0.210770\pi$
$3$	2.01658	+	0.540340i	1.16427	+	0.311966i	0.375601	+	0.926782i	$0.377436\pi$
$4$	1.26731	+	1.54723i	0.633655	+	0.773616i
$5$	−2.01210	+	0.975426i	−0.899838	+	0.436224i
$5$	−2.01210	+	0.975426i	−0.899838	+	0.436224i
$6$	2.25043	+	1.91120i	0.918734	+	0.780242i
$7$	2.04940	−	1.67330i	0.774601	−	0.632450i
$7$	2.04940	−	1.67330i	0.774601	−	0.632450i
$8$	0.683321	+	2.74464i	0.241590	+	0.970378i
$9$	1.17654	+	0.679275i	0.392179	+	0.226425i
$10$	−3.16215	+	0.0288829i	−0.999958	+	0.00913358i
$11$	−2.35929	−	4.08641i	−0.711352	−	1.23210i	−0.964350	−	0.264631i	$-0.914750\pi$
$11$	−2.35929	−	4.08641i	−0.711352	−	1.23210i	0.252998	−	0.967467i	$-0.418584\pi$
$12$	1.71960	+	3.80489i	0.496404	+	1.09838i
$13$	−3.68344	−	3.68344i	−1.02160	−	1.02160i	−0.999761	−	0.0218423i	$-0.993047\pi$
$13$	−3.68344	−	3.68344i	−1.02160	−	1.02160i	−0.0218423	−	0.999761i	$-0.506953\pi$
$14$	3.63223	−	0.898295i	0.970753	−	0.240079i
$15$	−4.58461	+	0.879803i	−1.18374	+	0.227164i
$16$	−0.787853	+	3.92164i	−0.196963	+	0.980411i
$17$	−1.60409	+	5.98656i	−0.389050	+	1.45195i	0.442633	+	0.896703i	$0.354044\pi$
$17$	−1.60409	+	5.98656i	−0.389050	+	1.45195i	−0.831683	+	0.555251i	$0.812622\pi$
$18$	1.09265	+	1.58033i	0.257539	+	0.372487i
$19$	2.62179	+	1.51369i	0.601479	+	0.347264i	0.769623	−	0.638498i	$-0.220444\pi$
$19$	2.62179	+	1.51369i	0.601479	+	0.347264i	−0.168144	+	0.985762i	$0.553777\pi$
$20$	−4.05916	−	1.87702i	−0.907656	−	0.419714i
$21$	5.03693	−	2.26697i	1.09915	−	0.494694i
$22$	−0.542155	−	6.65101i	−0.115588	−	1.41800i
$23$	1.38751	−	0.371783i	0.289316	−	0.0775221i	−0.111242	−	0.993793i	$-0.535483\pi$
$23$	1.38751	−	0.371783i	0.289316	−	0.0775221i	0.400558	+	0.916271i	$0.368816\pi$
$24$	−0.105073	+	5.90401i	−0.0214479	+	1.20515i
$25$	3.09709	−	3.92531i	0.619418	−	0.785061i
$26$	−2.47852	−	6.93744i	−0.486077	−	1.36054i
$27$	−2.42317	−	2.42317i	−0.466339	−	0.466339i
$28$	5.18622	+	1.05031i	0.980103	+	0.198489i
$29$	3.08965			0.573734			0.286867	−	0.957970i	$-0.407386\pi$
$29$	3.08965			0.573734			0.286867	+	0.957970i	$0.407386\pi$
$30$	−6.39232	−	1.65039i	−1.16707	−	0.301319i
$31$	−0.111644	+	0.0644574i	−0.0200518	+	0.0115769i	−0.509992	−	0.860179i	$-0.670352\pi$
$31$	−0.111644	+	0.0644574i	−0.0200518	+	0.0115769i	0.489941	+	0.871756i	$0.337018\pi$
$32$	−3.38062	+	4.53557i	−0.597615	+	0.801783i
$33$	−2.54964	−	9.51537i	−0.443835	−	1.65641i
$34$	−5.67371	+	6.68079i	−0.973034	+	1.14575i
$35$	−2.49142	+	5.36590i	−0.421127	+	0.907002i
$36$	0.440043	+	2.68123i	0.0733405	+	0.446871i
$37$	−0.568688	−	2.12237i	−0.0934917	−	0.348916i	0.903295	−	0.429020i	$-0.141141\pi$
$37$	−0.568688	−	2.12237i	−0.0934917	−	0.348916i	−0.996786	+	0.0801048i	$0.974474\pi$
$38$	2.43484	+	3.52159i	0.394983	+	0.571277i
$39$	−5.43764	−	9.41826i	−0.870719	−	1.50813i
$40$	−4.05211	−	4.85597i	−0.640694	−	0.767796i
$41$	1.37721			0.215083			0.107542	−	0.994201i	$-0.465702\pi$
$41$	1.37721			0.215083			0.107542	+	0.994201i	$0.465702\pi$
$42$	7.81005	+	0.151156i	1.20512	+	0.0233239i
$43$	2.05196	−	2.05196i	0.312920	−	0.312920i	−0.533120	−	0.846040i	$-0.678980\pi$
$43$	2.05196	−	2.05196i	0.312920	−	0.312920i	0.846040	+	0.533120i	$0.178980\pi$
$44$	3.33267	−	8.82911i	0.502419	−	1.33104i
$45$	−3.02989	−	0.219143i	−0.451670	−	0.0326679i
$46$	1.99847	+	0.364620i	0.294658	+	0.0537603i
$47$	2.96456	+	11.0639i	0.432425	+	1.61383i	0.747154	+	0.664650i	$0.231420\pi$
$47$	2.96456	+	11.0639i	0.432425	+	1.61383i	−0.314730	+	0.949181i	$0.601914\pi$
$48$	−3.70779	+	7.48259i	−0.535173	+	1.08002i
$49$	1.40010	−	6.85855i	0.200015	−	0.979793i
$50$	6.33438	−	3.14255i	0.895816	−	0.444424i
$51$	−6.46955	+	11.2056i	−0.905919	+	1.56910i
$52$	1.03108	−	10.3672i	0.142985	−	1.43767i
$53$	0.758163	−	2.82950i	0.104142	−	0.388662i	−0.894105	−	0.447858i	$-0.852187\pi$
$53$	0.758163	−	2.82950i	0.104142	−	0.388662i	0.998246	+	0.0591960i	$0.0188537\pi$
$54$	−1.63050	−	4.56382i	−0.221883	−	0.621057i
$55$	8.73311	+	5.92095i	1.17757	+	0.798380i
$56$	5.99303	+	4.48148i	0.800852	+	0.598863i
$57$	4.46913	+	4.46913i	0.591950	+	0.591950i
$58$	3.94902	+	1.87006i	0.518532	+	0.245550i
$59$	−11.1239	+	6.42236i	−1.44820	+	0.836120i	−0.998374	−	0.0569956i	$-0.981848\pi$
$59$	−11.1239	+	6.42236i	−1.44820	+	0.836120i	−0.449828	+	0.893115i	$0.648515\pi$
$60$	−7.17139	−	5.97848i	−0.925822	−	0.771818i
$61$	−5.49729	−	3.17386i	−0.703856	−	0.406372i	0.104926	−	0.994480i	$-0.466540\pi$
$61$	−5.49729	−	3.17386i	−0.703856	−	0.406372i	−0.808782	+	0.588108i	$0.799873\pi$
$62$	−0.181710	+	0.0148121i	−0.0230772	+	0.00188113i
$63$	3.54783	−	0.576599i	0.446985	−	0.0726447i
$64$	−7.06615	+	3.75095i	−0.883268	+	0.468868i
$65$	11.0044	+	3.81853i	1.36493	+	0.473630i
$66$	2.50051	−	13.7052i	0.307792	−	1.68700i
$67$	−1.95145	+	7.28290i	−0.238407	+	0.889748i	0.738176	+	0.674608i	$0.235687\pi$
$67$	−1.95145	+	7.28290i	−0.238407	+	0.889748i	−0.976583	+	0.215140i	$0.930979\pi$
$68$	−11.2955	+	5.10492i	−1.36978	+	0.619062i
$69$	2.99892			0.361027
$70$	−6.43218	+	5.35043i	−0.768793	+	0.639498i
$71$			1.96950i			0.233736i	0.993147	+	0.116868i	$0.0372855\pi$
$71$			1.96950i			0.233736i	−0.993147	+	0.116868i	$0.962715\pi$
$72$	−1.06041	+	3.69334i	−0.124971	+	0.435264i
$73$	−0.768076	−	0.205805i	−0.0898965	−	0.0240877i	0.213590	−	0.976923i	$-0.431484\pi$
$73$	−0.768076	−	0.205805i	−0.0898965	−	0.0240877i	−0.303487	+	0.952836i	$0.598151\pi$
$74$	0.557731	−	3.05690i	0.0648349	−	0.355358i
$75$	8.36652	−	6.24220i	0.966082	−	0.720787i
$76$	0.980587	+	5.97482i	0.112481	+	0.685359i
$77$	−11.6729	−	4.42689i	−1.33025	−	0.504490i
$78$	−1.24955	−	15.3291i	−0.141483	−	1.73568i
$79$	−0.00532584	+	0.00922462i	−0.000599203	+	0.00103785i	−0.866325	−	0.499481i	$-0.833524\pi$
$79$	−0.00532584	+	0.00922462i	−0.000599203	+	0.00103785i	0.865726	+	0.500519i	$0.166857\pi$
$80$	−2.24003	−	8.65923i	−0.250443	−	0.968131i
$81$	−5.61500	−	9.72546i	−0.623888	−	1.08061i
$82$	1.76027	+	0.833574i	0.194389	+	0.0920529i
$83$	4.27536	−	4.27536i	0.469281	−	0.469281i	−0.432400	−	0.901682i	$-0.642333\pi$
$83$	4.27536	−	4.27536i	0.469281	−	0.469281i	0.901682	+	0.432400i	$0.142333\pi$
$84$	9.89088	+	4.92035i	1.07918	+	0.536854i
$85$	−2.61185	−	13.6102i	−0.283295	−	1.47624i
$86$	3.86467	−	1.38072i	0.416738	−	0.148887i
$87$	6.23052	+	1.66946i	0.667981	+	0.178985i
$88$	9.60358	−	9.26773i	1.02375	−	0.987944i
$89$	−6.15365	−	3.55281i	−0.652286	−	0.376597i	0.137046	−	0.990565i	$-0.456239\pi$
$89$	−6.15365	−	3.55281i	−0.652286	−	0.376597i	−0.789331	+	0.613967i	$0.789573\pi$
$90$	−3.74000	−	2.11398i	−0.394231	−	0.222833i
$91$	−13.7124	−	1.38534i	−1.43745	−	0.145223i
$92$	2.33364	+	1.67564i	0.243299	+	0.174698i
$93$	−0.259967	+	0.0696579i	−0.0269573	+	0.00722318i
$94$	−2.90744	+	15.9356i	−0.299879	+	1.64363i
$95$	−6.75179	−	0.488335i	−0.692719	−	0.0501021i
$96$	−9.26803	+	7.31964i	−0.945915	+	0.747057i
$97$	8.22842	+	8.22842i	0.835470	+	0.835470i	0.988259	−	0.152789i	$-0.0488256\pi$
$97$	8.22842	+	8.22842i	0.835470	+	0.835470i	−0.152789	+	0.988259i	$0.548826\pi$
$98$	5.94077	−	7.91879i	0.600109	−	0.799918i
$99$		−	6.41042i		−	0.644271i
$100$	9.99833	−	0.182664i	0.999833	−	0.0182664i
$101$	−5.34223	+	3.08434i	−0.531572	+	0.306903i	−0.741656	−	0.670780i	$-0.765959\pi$
$101$	−5.34223	+	3.08434i	−0.531572	+	0.306903i	0.210085	+	0.977683i	$0.432626\pi$
$102$	−15.0514	+	10.4066i	−1.49031	+	1.03041i
$103$	−2.48923	+	0.666987i	−0.245271	+	0.0657202i	−0.379360	−	0.925249i	$-0.623856\pi$
$103$	−2.48923	+	0.666987i	−0.245271	+	0.0657202i	0.134089	+	0.990969i	$0.457189\pi$
$104$	7.59277	−	12.6267i	0.744533	−	1.23815i
$105$	−7.92354	+	9.47453i	−0.773259	+	0.924619i
$106$	2.68164	−	3.15763i	0.260464	−	0.306696i
$107$	6.37932	−	1.70933i	0.616712	−	0.165248i	0.0630795	−	0.998009i	$-0.479908\pi$
$107$	6.37932	−	1.70933i	0.616712	−	0.165248i	0.553633	+	0.832761i	$0.313241\pi$
$108$	0.678299	−	6.82011i	0.0652694	−	0.656266i
$109$	9.60779	+	16.6412i	0.920260	+	1.59394i	0.799013	+	0.601314i	$0.205356\pi$
$109$	9.60779	+	16.6412i	0.920260	+	1.59394i	0.121247	+	0.992622i	$0.461311\pi$
$110$	7.57844	+	12.8537i	0.722576	+	1.22555i
$111$		−	4.58721i		−	0.435399i
$112$	4.94748	+	9.35535i	0.467493	+	0.883997i
$113$	13.6117	−	13.6117i	1.28048	−	1.28048i	0.340089	−	0.940393i	$-0.389543\pi$
$113$	13.6117	−	13.6117i	1.28048	−	1.28048i	0.940393	−	0.340089i	$-0.110457\pi$
$114$	3.00719	+	8.41720i	0.281649	+	0.788343i
$115$	−2.42917	+	2.10148i	−0.226521	+	0.195964i
$116$	3.91554	+	4.78040i	0.363549	+	0.443849i
$117$	−1.83164	−	6.83578i	−0.169335	−	0.631968i
$118$	−18.1051	+	1.47583i	−1.66671	+	0.135861i
$119$	6.72990	+	14.9530i	0.616929	+	1.37074i
$120$	−5.54751	−	11.9820i	−0.506416	−	1.09380i
$121$	−5.63248	+	9.75574i	−0.512044	+	0.886886i
$122$	−5.10531	−	7.38398i	−0.462213	−	0.668514i
$123$	2.77724	+	0.744160i	0.250415	+	0.0670986i
$124$	−0.241217	−	0.0910509i	−0.0216620	−	0.00817661i
$125$	−2.40281	+	10.9191i	−0.214914	+	0.976633i
$126$	4.88364	+	1.41040i	0.435069	+	0.125648i
$127$	10.1170	−	10.1170i	0.897736	−	0.897736i	−0.0974998	−	0.995236i	$-0.531085\pi$
$127$	10.1170	−	10.1170i	0.897736	−	0.897736i	0.995236	+	0.0974998i	$0.0310845\pi$
$128$	−11.3019	+	0.517364i	−0.998954	+	0.0457290i
$129$	5.24668	−	3.02917i	0.461944	−	0.266704i
$130$	11.7540	+	11.5412i	1.03089	+	1.01223i
$131$	−5.32259	+	9.21899i	−0.465036	+	0.805467i	−0.999203	−	0.0399124i	$-0.987292\pi$
$131$	−5.32259	+	9.21899i	−0.465036	+	0.805467i	0.534167	+	0.845379i	$0.320625\pi$
$132$	11.4913	−	16.0038i	1.00019	−	1.39295i
$133$	7.90596	−	1.28489i	0.685534	−	0.111414i
$134$	−6.90231	+	8.12746i	−0.596269	+	0.702105i
$135$	7.23928	+	2.51204i	0.623058	+	0.216202i
$136$	−17.5271	−	0.311926i	−1.50293	−	0.0267475i
$137$	2.91449	−	10.8770i	0.249002	−	0.929288i	−0.722328	−	0.691551i	$-0.756928\pi$
$137$	2.91449	−	10.8770i	0.249002	−	0.929288i	0.971330	−	0.237737i	$-0.0764056\pi$
$138$	3.83305	+	1.81514i	0.326291	+	0.154515i
$139$		−	8.91218i		−	0.755921i	−0.925822	−	0.377961i	$-0.876625\pi$
$139$		−	8.91218i		−	0.755921i	0.925822	−	0.377961i	$-0.123375\pi$
$140$	−11.4597	+	2.94545i	−0.968520	+	0.248936i
$141$			23.9130i			2.01384i
$142$	−1.19207	+	2.51730i	−0.100036	+	0.211247i
$143$	−6.36175	+	23.7424i	−0.531996	+	1.98544i
$144$	−3.59081	+	4.07880i	−0.299234	+	0.339900i
$145$	−6.21668	+	3.01372i	−0.516267	+	0.250276i
$146$	−0.857146	−	0.727938i	−0.0709379	−	0.0602446i
$147$	6.52937	−	13.0743i	0.538533	−	1.07835i
$148$	2.56310	−	3.56959i	0.210685	−	0.293419i
$149$	−3.49054	+	6.04578i	−0.285956	+	0.495290i	−0.972841	−	0.231476i	$-0.925644\pi$
$149$	−3.49054	+	6.04578i	−0.285956	+	0.495290i	0.686885	+	0.726766i	$0.258978\pi$
$150$	14.4718	−	2.91448i	1.18162	−	0.237966i
$151$	−6.68363	+	3.85879i	−0.543906	+	0.314024i	−0.746660	−	0.665205i	$-0.768344\pi$
$151$	−6.68363	+	3.85879i	−0.543906	+	0.314024i	0.202755	+	0.979230i	$0.435011\pi$
$152$	−2.36302	+	8.23021i	−0.191666	+	0.667558i
$153$	−5.95379	+	5.95379i	−0.481336	+	0.481336i
$154$	−12.2403	−	12.7234i	−0.986349	−	1.02528i
$155$	0.161764	−	0.238595i	0.0129932	−	0.0191644i
$156$	7.68107	−	20.3491i	0.614978	−	1.62923i
$157$	8.17866	+	2.19146i	0.652728	+	0.174898i	0.569962	−	0.821671i	$-0.306958\pi$
$157$	8.17866	+	2.19146i	0.652728	+	0.174898i	0.0827660	+	0.996569i	$0.473625\pi$
$158$	−0.0123905	+	0.00856686i	−0.000985737	+	0.000681543i
$159$	3.05779	−	5.29624i	0.242498	−	0.420019i
$160$	2.37804	−	12.4236i	0.188000	−	0.982169i
$161$	2.22147	−	3.08367i	0.175076	−	0.243027i
$162$	−1.29030	−	15.8291i	−0.101376	−	1.24365i
$163$	1.43395	+	5.35158i	0.112316	+	0.419168i	0.999072	−	0.0430692i	$-0.0137136\pi$
$163$	1.43395	+	5.35158i	0.112316	+	0.419168i	−0.886756	+	0.462237i	$0.847047\pi$
$164$	1.74535	+	2.13086i	0.136289	+	0.166392i
$165$	14.4117	+	16.6589i	1.12195	+	1.29689i
$166$	8.05225	−	2.87680i	0.624976	−	0.223283i
$167$	−9.02405	+	9.02405i	−0.698302	+	0.698302i	−0.964044	−	0.265742i	$-0.914383\pi$
$167$	−9.02405	+	9.02405i	−0.698302	+	0.698302i	0.265742	+	0.964044i	$0.414383\pi$
$168$	9.66387	+	12.2755i	0.745584	+	0.947077i
$169$			14.1355i			1.08735i
$170$	4.89947	−	18.9767i	0.375772	−	1.45545i
$171$	2.05642	+	3.56183i	0.157258	+	0.272380i
$172$	5.77531	+	0.574388i	0.440363	+	0.0437967i
$173$	16.7111	−	4.47772i	1.27052	−	0.340435i	0.440290	−	0.897856i	$-0.354876\pi$
$173$	16.7111	−	4.47772i	1.27052	−	0.340435i	0.830230	+	0.557421i	$0.188209\pi$
$174$	6.95304	+	5.90492i	0.527108	+	0.447651i
$175$	−0.221051	−	13.2269i	−0.0167099	−	0.999860i
$176$	17.8842	−	6.03280i	1.34807	−	0.454739i
$177$	−25.9024	+	6.94052i	−1.94694	+	0.521681i
$178$	−5.71487	−	8.26560i	−0.428347	−	0.619533i
$179$	−16.6598	+	9.61857i	−1.24522	+	0.718925i	−0.970151	−	0.242500i	$-0.922032\pi$
$179$	−16.6598	+	9.61857i	−1.24522	+	0.718925i	−0.275064	+	0.961426i	$0.588699\pi$
$180$	−3.50075	−	4.96567i	−0.260930	−	0.370119i
$181$		−	7.24675i		−	0.538647i	−0.963050	−	0.269323i	$-0.913200\pi$
$181$		−	7.24675i		−	0.538647i	0.963050	−	0.269323i	$-0.0868000\pi$
$182$	−16.6879	−	10.0703i	−1.23699	−	0.746459i
$183$	−9.37075	−	9.37075i	−0.692706	−	0.692706i
$184$	1.96853	+	3.55418i	0.145122	+	0.262018i
$185$	3.21447	+	3.71571i	0.236333	+	0.273184i
$186$	−0.374437	−	0.0683158i	−0.0274550	−	0.00500916i
$187$	28.2480	−	7.56904i	2.06570	−	0.553503i
$188$	−13.3614	+	18.6082i	−0.974478	+	1.35714i
$189$	−9.02075	−	0.911350i	−0.656163	−	0.0662909i
$190$	−8.33419	−	4.71078i	−0.604626	−	0.341756i
$191$	−2.11821	−	1.22295i	−0.153268	−	0.0884893i	0.421405	−	0.906873i	$-0.361537\pi$
$191$	−2.11821	−	1.22295i	−0.153268	−	0.0884893i	−0.574673	+	0.818383i	$0.694871\pi$
$192$	−16.2762	+	3.74595i	−1.17463	+	0.270340i
$193$	−9.85623	−	2.64097i	−0.709467	−	0.190101i	−0.114000	−	0.993481i	$-0.536366\pi$
$193$	−9.85623	−	2.64097i	−0.709467	−	0.190101i	−0.595467	+	0.803380i	$0.703033\pi$
$194$	5.53674	+	15.4975i	0.397515	+	1.11265i
$195$	20.1279	+	13.6465i	1.44139	+	0.977244i
$196$	12.3861	−	6.52562i	0.884724	−	0.466116i
$197$	−10.1808	+	10.1808i	−0.725355	+	0.725355i	−0.969691	−	0.244336i	$-0.921430\pi$
$197$	−10.1808	+	10.1808i	−0.725355	+	0.725355i	0.244336	+	0.969691i	$0.421430\pi$
$198$	3.88000	−	8.19345i	0.275740	−	0.582283i
$199$	−7.97368	−	13.8108i	−0.565239	−	0.979023i	−0.997027	−	0.0770479i	$-0.975451\pi$
$199$	−7.97368	−	13.8108i	−0.565239	−	0.979023i	0.431788	−	0.901975i	$-0.357883\pi$
$200$	12.8899	+	5.81816i	0.911452	+	0.411406i
$201$	−7.87048	+	13.6321i	−0.555141	+	0.961533i
$202$	−8.69499	+	0.708769i	−0.611777	+	0.0498688i
$203$	6.33194	−	5.16993i	0.444415	−	0.362858i
$204$	−25.5366	+	4.19106i	−1.78792	+	0.293433i
$205$	−2.77108	+	1.34336i	−0.193540	+	0.0938245i
$206$	−3.58530	−	0.654137i	−0.249800	−	0.0455759i
$207$	1.88501	+	0.505086i	0.131017	+	0.0351059i
$208$	17.3472	−	11.5431i	1.20281	−	0.800373i
$209$		−	14.2849i		−	0.988108i
$210$	−15.8620	+	7.31398i	−1.09458	+	0.504713i
$211$	9.53458			0.656387			0.328194	−	0.944610i	$-0.393560\pi$
$211$	9.53458			0.656387			0.328194	+	0.944610i	$0.393560\pi$
$212$	5.33872	−	2.41280i	0.366665	−	0.165712i
$213$	−1.06420	+	3.97164i	−0.0729176	+	0.272132i
$214$	9.18830	+	1.67640i	0.628099	+	0.114596i
$215$	−2.12721	+	6.13027i	−0.145074	+	0.418081i
$216$	4.99494	−	8.30654i	0.339862	−	0.565189i
$217$	−0.120946	+	0.318913i	−0.00821033	+	0.0216492i
$218$	2.20783	+	27.0851i	0.149533	+	1.83443i
$219$	−1.43768	−	0.830045i	−0.0971494	−	0.0560892i
$220$	1.90647	+	21.0158i	0.128534	+	1.41689i
$221$	27.9597	−	16.1426i	1.88078	−	1.08587i
$222$	2.77647	−	5.86312i	0.186345	−	0.393507i
$223$	4.00171	+	4.00171i	0.267974	+	0.267974i	0.828284	−	0.560309i	$-0.189318\pi$
$223$	4.00171	+	4.00171i	0.267974	+	0.267974i	−0.560309	+	0.828284i	$0.689318\pi$
$224$	0.661133	+	14.9520i	0.0441738	+	0.999024i
$225$	6.31021	−	2.51450i	0.420680	−	0.167633i
$226$	25.6364	−	9.15906i	1.70531	−	0.609251i
$227$	5.22959	−	19.5171i	0.347100	−	1.29540i	−0.543039	−	0.839708i	$-0.682726\pi$
$227$	5.22959	−	19.5171i	0.347100	−	1.29540i	0.890139	−	0.455689i	$-0.150607\pi$
$228$	−1.25101	+	12.5785i	−0.0828501	+	0.833034i
$229$	8.56971	−	14.8432i	0.566303	−	0.980865i	−0.430625	−	0.902531i	$-0.641707\pi$
$229$	8.56971	−	14.8432i	0.566303	−	0.980865i	0.996927	−	0.0783336i	$-0.0249599\pi$
$230$	−4.37678	+	1.21571i	−0.288596	+	0.0801614i
$231$	−21.1473	−	15.2345i	−1.39139	−	1.00236i
$232$	2.11122	+	8.47999i	0.138609	+	0.556739i
$233$	7.35502	+	27.4493i	0.481843	+	1.79826i	0.593874	+	0.804558i	$0.297598\pi$
$233$	7.35502	+	27.4493i	0.481843	+	1.79826i	−0.112031	+	0.993705i	$0.535735\pi$
$234$	1.79635	−	9.84575i	0.117431	−	0.643637i
$235$	−16.7570	−	19.3699i	−1.09310	−	1.26355i
$236$	−24.0342	−	9.07206i	−1.56450	−	0.590541i
$237$	−0.0157244	+	0.0157244i	−0.00102141	+	0.00102141i
$238$	−0.448734	+	23.1855i	−0.0290871	+	1.50289i
$239$	−0.960341			−0.0621193			−0.0310596	−	0.999518i	$-0.509888\pi$
$239$	−0.960341			−0.0621193			−0.0310596	+	0.999518i	$0.509888\pi$
$240$	0.161730	−	18.6724i	0.0104396	−	1.20530i
$241$	−2.93216	−	5.07865i	−0.188877	−	0.327145i	0.755999	−	0.654573i	$-0.227151\pi$
$241$	−2.93216	−	5.07865i	−0.188877	−	0.327145i	−0.944876	+	0.327428i	$0.893818\pi$
$242$	−13.1039	+	9.06012i	−0.842353	+	0.582406i
$243$	−3.40719	−	12.7158i	−0.218571	−	0.815719i
$244$	−2.05607	−	12.5279i	−0.131626	−	0.802014i
$245$	3.87286	+	15.1658i	0.247428	+	0.968906i
$246$	3.09930	+	2.63211i	0.197604	+	0.167817i
$247$	−4.08162	−	15.2328i	−0.259707	−	0.969240i
$248$	−0.253201	−	0.262377i	−0.0160783	−	0.0166609i
$249$	10.9317	−	6.31144i	0.692770	−	0.399971i
$250$	−9.68007	+	12.5018i	−0.612222	+	0.790686i
$251$	22.7221			1.43421			0.717104	−	0.696966i	$-0.245467\pi$
$251$	22.7221			1.43421			0.717104	+	0.696966i	$0.245467\pi$
$252$	5.38834	+	4.75859i	0.339433	+	0.299763i
$253$	−4.79280	−	4.79280i	−0.301321	−	0.301321i
$254$	19.0544	−	6.80751i	1.19558	−	0.427141i
$255$	2.08716	−	28.8573i	0.130703	−	1.80712i
$256$	−14.7586	−	6.17936i	−0.922411	−	0.386210i
$257$	4.53715	−	1.21572i	0.283019	−	0.0758348i	−0.114517	−	0.993421i	$-0.536532\pi$
$257$	4.53715	−	1.21572i	0.283019	−	0.0758348i	0.397536	+	0.917586i	$0.369865\pi$
$258$	8.53947	−	0.696092i	0.531644	−	0.0433368i
$259$	−4.71684	−	3.39801i	−0.293090	−	0.211142i
$260$	8.03781	+	21.8656i	0.498484	+	1.35605i
$261$	3.63509	+	2.09872i	0.225006	+	0.129908i
$262$	−12.3830	+	8.56163i	−0.765022	+	0.528939i
$263$	1.23847	−	4.62202i	0.0763671	−	0.285006i	−0.917173	−	0.398490i	$-0.869534\pi$
$263$	1.23847	−	4.62202i	0.0763671	−	0.285006i	0.993540	+	0.113484i	$0.0362011\pi$
$264$	24.3741	−	13.4999i	1.50012	−	0.830861i
$265$	1.23447	+	6.43277i	0.0758329	+	0.395162i
$266$	10.8827	+	3.14292i	0.667259	+	0.192705i
$267$	−10.4896	−	10.4896i	−0.641952	−	0.641952i
$268$	−13.7414	+	6.21035i	−0.839391	+	0.379357i
$269$	−5.61368	−	9.72317i	−0.342272	−	0.592832i	0.642582	−	0.766217i	$-0.277863\pi$
$269$	−5.61368	−	9.72317i	−0.342272	−	0.592832i	−0.984854	+	0.173384i	$0.944530\pi$
$270$	7.73240	+	7.59243i	0.470579	+	0.462060i
$271$	−10.6182	−	6.13044i	−0.645012	−	0.372398i	0.141531	−	0.989934i	$-0.454798\pi$
$271$	−10.6182	−	6.13044i	−0.645012	−	0.372398i	−0.786542	+	0.617536i	$0.788131\pi$
$272$	−22.2134	−	11.0072i	−1.34688	−	0.667410i
$273$	−26.9035	−	10.2030i	−1.62828	−	0.617513i
$274$	10.3086	−	12.1384i	0.622767	−	0.733307i
$275$	−23.3473	−	3.39504i	−1.40790	−	0.204728i
$276$	3.80055	+	4.64002i	0.228767	+	0.279296i
$277$	−15.1523	−	4.06005i	−0.910414	−	0.243945i	−0.226930	−	0.973911i	$-0.572869\pi$
$277$	−15.1523	−	4.06005i	−0.910414	−	0.243945i	−0.683483	+	0.729966i	$0.739536\pi$
$278$	5.39423	−	11.3911i	0.323524	−	0.683190i
$279$	−0.175137			−0.0104852
$280$	−16.4299	−	3.17143i	−0.981875	−	0.189529i
$281$	−17.7945			−1.06153			−0.530764	−	0.847520i	$-0.678095\pi$
$281$	−17.7945			−1.06153			−0.530764	+	0.847520i	$0.678095\pi$
$282$	−14.4737	+	30.5643i	−0.861897	+	1.82008i
$283$	10.7640	+	2.88420i	0.639851	+	0.171448i	0.564136	−	0.825682i	$-0.309209\pi$
$283$	10.7640	+	2.88420i	0.639851	+	0.171448i	0.0757152	+	0.997129i	$0.475876\pi$
$284$	−3.04727	+	2.49596i	−0.180822	+	0.148108i
$285$	−13.3516	−	4.63303i	−0.790882	−	0.274437i
$286$	−22.5016	+	26.4956i	−1.33055	+	1.56672i
$287$	2.82245	−	2.30449i	0.166604	−	0.136029i
$288$	−7.05833	+	3.03990i	−0.415916	+	0.179128i
$289$	−18.5433	−	10.7060i	−1.09078	−	0.629764i
$290$	−9.76992	+	0.0892381i	−0.573710	+	0.00524024i
$291$	12.1471	+	21.0394i	0.712075	+	1.23335i
$292$	−0.654962	−	1.44921i	−0.0383287	−	0.0848087i
$293$	−4.68908	−	4.68908i	−0.273939	−	0.273939i	0.556745	−	0.830684i	$-0.312050\pi$
$293$	−4.68908	−	4.68908i	−0.273939	−	0.273939i	−0.830684	+	0.556745i	$0.812050\pi$
$294$	16.2589	−	12.7588i	0.948236	−	0.744109i
$295$	16.1178	−	23.7729i	0.938412	−	1.38411i
$296$	5.43656	−	3.01111i	0.315993	−	0.175017i
$297$	−4.18510	+	15.6190i	−0.242844	+	0.906307i
$298$	−8.12071	+	5.61469i	−0.470420	+	0.325250i
$299$	−6.48027	−	3.74139i	−0.374764	−	0.216370i
$300$	20.2611	+	5.03414i	1.16978	+	0.290646i
$301$	0.771736	−	7.63883i	0.0444822	−	0.440295i
$302$	−10.8782	+	0.886735i	−0.625972	+	0.0510259i
$303$	−12.4396	+	3.33318i	−0.714637	+	0.191486i
$304$	−8.00173	+	9.08915i	−0.458931	+	0.521298i
$305$	14.1570	+	1.02393i	0.810626	+	0.0586300i
$306$	−11.2134	+	4.00619i	−0.641029	+	0.229019i
$307$	9.11221	+	9.11221i	0.520061	+	0.520061i	0.917590	−	0.397529i	$-0.130132\pi$
$307$	9.11221	+	9.11221i	0.520061	+	0.520061i	−0.397529	+	0.917590i	$0.630132\pi$
$308$	−7.94380	−	23.6710i	−0.452640	−	1.34878i
$309$	−5.38012			−0.306065
$310$	0.351171	−	0.207048i	0.0199452	−	0.0117596i
$311$	13.0961	−	7.56104i	0.742612	−	0.428747i	−0.0804065	−	0.996762i	$-0.525622\pi$
$311$	13.0961	−	7.56104i	0.742612	−	0.428747i	0.823018	+	0.568015i	$0.192288\pi$
$312$	22.1341	−	21.3601i	1.25310	−	1.20928i
$313$	−2.27208	−	8.47953i	−0.128426	−	0.479292i	0.871513	−	0.490373i	$-0.163139\pi$
$313$	−2.27208	−	8.47953i	−0.128426	−	0.479292i	−0.999939	+	0.0110812i	$0.996473\pi$
$314$	9.12710	+	7.75126i	0.515072	+	0.437429i
$315$	−6.57617	+	4.62082i	−0.370525	+	0.260354i
$316$	−0.0210221	+	0.00345014i	−0.00118259	+	0.000194086i
$317$	−8.23081	−	30.7178i	−0.462288	−	1.72528i	−0.665727	−	0.746195i	$-0.731878\pi$
$317$	−8.23081	−	30.7178i	−0.462288	−	1.72528i	0.203439	−	0.979088i	$-0.434788\pi$
$318$	7.11392	−	4.91860i	0.398929	−	0.275821i
$319$	−7.28937	−	12.6256i	−0.408127	−	0.706896i
$320$	10.5590	−	14.4398i	0.590267	−	0.807208i
$321$	13.7880			0.769572
$322$	4.70579	−	2.59680i	0.262243	−	0.144714i
$323$	−13.2674	+	13.2674i	−0.738217	+	0.738217i
$324$	7.93160	−	21.0129i	0.440644	−	1.16738i
$325$	−25.8666	+	3.05070i	−1.43482	+	0.169222i
$326$	−1.40632	+	7.70801i	−0.0778890	+	0.426907i
$327$	10.3830	+	38.7497i	0.574179	+	2.14286i
$328$	0.941074	+	3.77994i	0.0519621	+	0.208712i
$329$	24.5888	+	17.7137i	1.35562	+	0.976589i
$330$	8.33715	+	30.0154i	0.458945	+	1.65229i
$331$	−4.67452	+	8.09651i	−0.256935	+	0.445024i	−0.965419	−	0.260702i	$-0.916046\pi$
$331$	−4.67452	+	8.09651i	−0.256935	+	0.445024i	0.708484	+	0.705726i	$0.249379\pi$
$332$	12.0332	+	1.19677i	0.660406	+	0.0656812i
$333$	0.772590	−	2.88335i	0.0423377	−	0.158006i
$334$	−16.9960	+	6.07211i	−0.929979	+	0.332251i
$335$	−3.17742	−	16.5574i	−0.173601	−	0.904628i
$336$	4.92190	+	21.5391i	0.268512	+	1.17505i
$337$	−11.0658	−	11.0658i	−0.602794	−	0.602794i	0.338259	−	0.941053i	$-0.390162\pi$
$337$	−11.0658	−	11.0658i	−0.602794	−	0.602794i	−0.941053	+	0.338259i	$0.890162\pi$
$338$	−8.55574	+	18.0673i	−0.465371	+	0.982729i
$339$	34.8040	−	20.0941i	1.89029	−	1.09136i
$340$	17.7482	−	21.2895i	0.962529	−	1.15459i
$341$	0.526799	+	0.304147i	0.0285277	+	0.0164705i
$342$	0.472557	+	5.79721i	0.0255530	+	0.313477i
$343$	−8.60707	−	16.3987i	−0.464738	−	0.885448i
$344$	7.03403	+	4.22974i	0.379250	+	0.228052i
$345$	−6.03412	+	2.92522i	−0.324866	+	0.157489i
$346$	24.0694	+	4.39145i	1.29398	+	0.236086i
$347$	−6.54308	+	24.4191i	−0.351251	+	1.31089i	0.533886	+	0.845557i	$0.320731\pi$
$347$	−6.54308	+	24.4191i	−0.351251	+	1.31089i	−0.885137	+	0.465330i	$0.845935\pi$
$348$	5.31295	+	11.7558i	0.284804	+	0.630176i
$349$	−5.51392			−0.295153			−0.147577	−	0.989051i	$-0.547147\pi$
$349$	−5.51392			−0.295153			−0.147577	+	0.989051i	$0.547147\pi$
$350$	7.72324	−	17.0397i	0.412825	−	0.910810i
$351$			17.8512i			0.952828i
$352$	26.5100	+	3.11388i	1.41299	+	0.165971i
$353$	11.4208	+	3.06019i	0.607868	+	0.162878i	0.549606	−	0.835424i	$-0.314778\pi$
$353$	11.4208	+	3.06019i	0.607868	+	0.162878i	0.0582613	+	0.998301i	$0.481444\pi$
$354$	−37.3078	−	6.80679i	−1.98289	−	0.361777i
$355$	−1.92110	−	3.96282i	−0.101961	−	0.210325i
$356$	−2.30156	−	14.0236i	−0.121982	−	0.743251i
$357$	5.49165	+	33.7903i	0.290649	+	1.78837i
$358$	−27.1155	+	2.21031i	−1.43310	+	0.116818i
$359$	−1.76552	+	3.05796i	−0.0931804	+	0.161393i	−0.908848	−	0.417128i	$-0.863037\pi$
$359$	−1.76552	+	3.05796i	−0.0931804	+	0.161393i	0.815667	+	0.578521i	$0.196370\pi$
$360$	−1.46892	−	8.46573i	−0.0774189	−	0.446183i
$361$	−4.91749	−	8.51734i	−0.258815	−	0.448281i
$362$	4.38620	−	9.26240i	0.230534	−	0.486821i
$363$	−16.6298	+	16.6298i	−0.872836	+	0.872836i
$364$	−15.2344	−	22.9719i	−0.798500	−	1.20405i
$365$	1.74619	−	0.335100i	0.0913999	−	0.0175400i
$366$	−6.30539	−	17.6490i	−0.329588	−	0.922526i
$367$	28.4684	+	7.62809i	1.48604	+	0.398183i	0.908398	−	0.418107i	$-0.137306\pi$
$367$	28.4684	+	7.62809i	1.48604	+	0.398183i	0.577642	+	0.816290i	$0.303973\pi$
$368$	0.364844	+	5.73424i	0.0190188	+	0.298918i
$369$	1.62034	+	0.935501i	0.0843513	+	0.0487003i
$370$	1.85957	+	6.69482i	0.0966746	+	0.348047i
$371$	−3.18084	−	7.06743i	−0.165141	−	0.366923i
$372$	−0.437235	−	0.313951i	−0.0226696	−	0.0162776i
$373$	32.7376	−	8.77201i	1.69509	−	0.454197i	0.723392	−	0.690437i	$-0.242582\pi$
$373$	32.7376	−	8.77201i	1.69509	−	0.454197i	0.971695	+	0.236240i	$0.0759151\pi$
$374$	40.6863	+	7.42320i	2.10384	+	0.383845i
$375$	−10.7455	+	20.7209i	−0.554893	+	1.07002i
$376$	−28.3407	+	15.6968i	−1.46156	+	0.809502i
$377$	−11.3806	−	11.3806i	−0.586128	−	0.586128i
$378$	−10.9782	−	6.62478i	−0.564659	−	0.340742i
$379$		−	0.336224i		−	0.0172706i	−0.999963	−	0.00863532i	$-0.997251\pi$
$379$		−	0.336224i		−	0.0172706i	0.999963	−	0.00863532i	$-0.00274874\pi$
$380$	−7.80104	−	11.0655i	−0.400185	−	0.567646i
$381$	25.8682	−	14.9350i	1.32527	−	0.765145i
$382$	−1.96717	−	2.84518i	−0.100649	−	0.145572i
$383$	3.89508	−	1.04368i	0.199029	−	0.0533297i	−0.157927	−	0.987451i	$-0.550481\pi$
$383$	3.89508	−	1.04368i	0.199029	−	0.0533297i	0.356956	+	0.934121i	$0.383814\pi$
$384$	−23.0706	−	5.06355i	−1.17732	−	0.258398i
$385$	27.8052	−	2.47875i	1.41708	−	0.126329i
$386$	−10.9992	−	9.34117i	−0.559845	−	0.475453i
$387$	3.80804	−	1.02036i	0.193574	−	0.0518679i
$388$	−2.30332	+	23.1592i	−0.116933	+	1.17573i
$389$	−11.3703	−	19.6940i	−0.576498	−	0.998525i	−0.995877	−	0.0907131i	$-0.971085\pi$
$389$	−11.3703	−	19.6940i	−0.576498	−	0.998525i	0.419379	−	0.907811i	$-0.362248\pi$
$390$	17.4666	+	29.6249i	0.884457	+	1.50011i
$391$			8.90280i			0.450234i
$392$	19.7810	−	0.843804i	0.999091	−	0.0426185i
$393$	−15.7148	+	15.7148i	−0.792706	+	0.792706i
$394$	−19.1747	+	6.85049i	−0.966007	+	0.345123i
$395$	0.00171818	−	0.0237558i	8.64511e−5	−	0.00119528i
$396$	9.91840	−	8.12399i	0.498419	−	0.408246i
$397$	−3.46328	−	12.9252i	−0.173817	−	0.648695i	−0.996750	−	0.0805561i	$-0.974330\pi$
$397$	−3.46328	−	12.9252i	−0.173817	−	0.648695i	0.822933	−	0.568139i	$-0.192336\pi$
$398$	−1.83232	−	22.4784i	−0.0918459	−	1.12674i
$399$	16.6373	+	1.68083i	0.832904	+	0.0841468i
$400$	12.9536	+	15.2382i	0.647680	+	0.761912i
$401$	14.9243	−	25.8496i	0.745283	−	1.29087i	−0.204780	−	0.978808i	$-0.565648\pi$
$401$	14.9243	−	25.8496i	0.745283	−	1.29087i	0.950063	−	0.312059i	$-0.101019\pi$
$402$	−18.3106	+	12.6600i	−0.913251	+	0.631426i
$403$	0.648658	+	0.173807i	0.0323120	+	0.00865796i
$404$	−11.5424	−	4.35686i	−0.574258	−	0.216762i
$405$	20.7844	+	14.0916i	1.03278	+	0.700216i
$406$	11.2223	−	2.77542i	0.556954	−	0.137742i
$407$	−7.33117	+	7.33117i	−0.363393	+	0.363393i
$408$	−35.1762	−	10.0996i	−1.74148	−	0.500005i
$409$	−4.12124	+	2.37940i	−0.203782	+	0.117654i	−0.598418	−	0.801184i	$-0.704204\pi$
$409$	−4.12124	+	2.37940i	−0.203782	+	0.117654i	0.394636	+	0.918837i	$0.370871\pi$
$410$	−4.35493	+	0.0397777i	−0.215075	+	0.00196448i
$411$	11.7546	−	20.3596i	0.579812	−	1.00426i
$412$	−4.18661	−	3.00614i	−0.206259	−	0.148102i
$413$	−12.0507	+	31.7756i	−0.592976	+	1.56357i
$414$	2.10360	+	1.78650i	0.103386	+	0.0878017i
$415$	−4.43215	+	12.7727i	−0.217566	+	0.626989i
$416$	29.1589	−	4.25418i	1.42963	−	0.208579i
$417$	4.81561	−	17.9721i	0.235821	−	0.880097i
$418$	8.64615	−	18.2582i	0.422897	−	0.893037i
$419$			1.48126i			0.0723644i	0.999345	+	0.0361822i	$0.0115197\pi$
$419$			1.48126i			0.0723644i	−0.999345	+	0.0361822i	$0.988480\pi$
$420$	−24.7009	−	0.252402i	−1.20528	−	0.0123159i
$421$			16.6901i			0.813426i	0.913556	+	0.406713i	$0.133325\pi$
$421$			16.6901i			0.813426i	−0.913556	+	0.406713i	$0.866675\pi$
$422$	12.1866	+	5.77094i	0.593233	+	0.280925i
$423$	−4.02750	+	15.0308i	−0.195824	+	0.730823i
$424$	8.28405	+	0.147430i	0.402309	+	0.00715982i
$425$	18.5311	+	24.8375i	0.898888	+	1.20479i
$426$	−3.76409	+	4.43221i	−0.182371	+	0.214741i
$427$	−16.5770	+	2.69412i	−0.802218	+	0.130378i
$428$	10.7293	+	7.70403i	0.518621	+	0.372389i
$429$	−25.6579	+	44.4408i	−1.23878	+	2.14562i
$430$	−6.42931	+	6.54785i	−0.310049	+	0.315765i
$431$	−9.77165	+	5.64167i	−0.470684	+	0.271750i	−0.716526	−	0.697560i	$-0.754269\pi$
$431$	−9.77165	+	5.64167i	−0.470684	+	0.271750i	0.245842	+	0.969310i	$0.420936\pi$
$432$	11.4119	−	7.59371i	0.549056	−	0.365352i
$433$	21.0924	−	21.0924i	1.01363	−	1.01363i	0.0137288	−	0.999906i	$-0.495630\pi$
$433$	21.0924	−	21.0924i	1.01363	−	1.01363i	0.999906	−	0.0137288i	$-0.00437013\pi$
$434$	−0.347613	+	0.334413i	−0.0166859	+	0.0160523i
$435$	−14.1649	+	2.71828i	−0.679153	+	0.130332i
$436$	−13.5717	+	35.9550i	−0.649968	+	1.72193i
$437$	4.20053	+	1.12553i	0.200938	+	0.0538413i
$438$	−1.33517	−	1.93109i	−0.0637967	−	0.0922712i
$439$	−1.85384	+	3.21094i	−0.0884788	+	0.153250i	−0.906868	−	0.421414i	$-0.861534\pi$
$439$	−1.85384	+	3.21094i	−0.0884788	+	0.153250i	0.818389	+	0.574664i	$0.194867\pi$
$440$	−10.2834	+	28.0152i	−0.490241	+	1.33557i
$441$	6.30611	−	7.11829i	0.300291	−	0.338966i
$442$	45.5071	−	3.70950i	2.16455	−	0.176443i
$443$	−2.37763	−	8.87345i	−0.112965	−	0.421591i	0.886162	−	0.463376i	$-0.153362\pi$
$443$	−2.37763	−	8.87345i	−0.112965	−	0.421591i	−0.999127	+	0.0417855i	$0.986695\pi$
$444$	7.09748	−	5.81341i	0.336831	−	0.275892i
$445$	15.8473	+	1.14618i	0.751232	+	0.0543342i
$446$	2.69267	+	7.53686i	0.127502	+	0.356881i
$447$	−10.3057	+	10.3057i	−0.487443	+	0.487443i
$448$	−8.20490	+	19.5110i	−0.387645	+	0.921809i
$449$			19.7729i			0.933141i	0.884484	+	0.466571i	$0.154511\pi$
$449$			19.7729i			0.933141i	−0.884484	+	0.466571i	$0.845489\pi$
$450$	9.58730	+	0.605449i	0.451949	+	0.0285411i
$451$	−3.24923	−	5.62783i	−0.153000	−	0.265004i
$452$	38.3107	+	3.81022i	1.80199	+	0.179218i
$453$	−15.5631	+	4.17012i	−0.731219	+	0.195929i
$454$	18.4972	−	21.7804i	0.868116	−	1.02221i
$455$	28.9420	−	10.5880i	1.35682	−	0.496372i
$456$	−9.21232	+	15.3200i	−0.431406	+	0.717425i
$457$	6.87286	−	1.84158i	0.321499	−	0.0861454i	−0.0944603	−	0.995529i	$-0.530113\pi$
$457$	6.87286	−	1.84158i	0.321499	−	0.0861454i	0.415959	+	0.909383i	$0.363446\pi$
$458$	19.9374	−	13.7848i	0.931613	−	0.644121i
$459$	18.3934	−	10.6195i	0.858532	−	0.495674i
$460$	−6.32998	−	1.09526i	−0.295137	−	0.0510667i
$461$		−	11.7518i		−	0.547338i	−0.961824	−	0.273669i	$-0.911763\pi$
$461$		−	11.7518i		−	0.547338i	0.961824	−	0.273669i	$-0.0882373\pi$
$462$	−17.8085	−	32.2717i	−0.828525	−	1.50141i
$463$	26.3580	+	26.3580i	1.22496	+	1.22496i	0.965846	+	0.259116i	$0.0834311\pi$
$463$	26.3580	+	26.3580i	1.22496	+	1.22496i	0.259116	+	0.965846i	$0.416569\pi$
$464$	−2.43419	+	12.1165i	−0.113004	+	0.562495i
$465$	0.455133	−	0.393737i	0.0211063	−	0.0182591i
$466$	−7.21331	+	39.5359i	−0.334150	+	1.83147i
$467$	−9.58494	+	2.56828i	−0.443538	+	0.118846i	−0.473674	−	0.880700i	$-0.657073\pi$
$467$	−9.58494	+	2.56828i	−0.443538	+	0.118846i	0.0301362	+	0.999546i	$0.490406\pi$
$468$	8.25528	−	11.4970i	0.381601	−	0.531450i
$469$	8.18721	+	18.1910i	0.378050	+	0.839980i
$470$	−9.69392	−	34.9000i	−0.447147	−	1.60981i
$471$	15.3088	+	8.83851i	0.705390	+	0.407257i
$472$	−25.2282	−	26.1425i	−1.16122	−	1.20331i
$473$	−13.2263	−	3.54397i	−0.608145	−	0.162952i
$474$	−0.0296155	+	0.0105806i	−0.00136028	+	0.000485985i
$475$	14.0616	−	5.60329i	0.645191	−	0.257096i
$476$	−14.6069	+	29.3628i	−0.669506	+	1.34584i
$477$	2.81402	−	2.81402i	0.128845	−	0.128845i
$478$	−1.22745	−	0.581260i	−0.0561425	−	0.0265862i
$479$	−0.691887	−	1.19838i	−0.0316131	−	0.0547556i	0.849786	−	0.527128i	$-0.176731\pi$
$479$	−0.691887	−	1.19838i	−0.0316131	−	0.0547556i	−0.881399	+	0.472372i	$0.843398\pi$
$480$	11.5084	−	23.7681i	0.525286	−	1.08486i
$481$	−5.72291	+	9.91236i	−0.260942	+	0.451965i
$482$	−0.673799	−	8.26599i	−0.0306907	−	0.376506i
$483$	6.14599	−	5.01810i	0.279652	−	0.228331i
$484$	−22.2325	+	3.64879i	−1.01057	+	0.165854i
$485$	−24.5826	−	8.53019i	−1.11624	−	0.387336i
$486$	3.34154	−	18.3149i	0.151576	−	0.830781i
$487$	−29.1326	−	7.80606i	−1.32012	−	0.353726i	−0.471100	−	0.882080i	$-0.656143\pi$
$487$	−29.1326	−	7.80606i	−1.32012	−	0.353726i	−0.849024	+	0.528354i	$0.822809\pi$
$488$	4.95471	−	17.2569i	0.224289	−	0.781182i
$489$			11.5667i			0.523064i
$490$	−4.22924	+	21.7282i	−0.191057	+	0.981579i
$491$	−18.0078			−0.812682			−0.406341	−	0.913722i	$-0.633195\pi$
$491$	−18.0078			−0.812682			−0.406341	+	0.913722i	$0.633195\pi$
$492$	2.36824	+	5.24012i	0.106768	+	0.236243i
$493$	−4.95609	+	18.4964i	−0.223211	+	0.833034i
$494$	4.00298	−	21.9402i	0.180102	−	0.987135i
$495$	6.25289	+	12.8984i	0.281046	+	0.579740i
$496$	−0.164820	−	0.488609i	−0.00740065	−	0.0219392i
$497$	3.29557	+	4.03629i	0.147826	+	0.181052i
$498$	17.7924	−	1.45034i	0.797298	−	0.0649915i
$499$	31.9266	+	18.4328i	1.42923	+	0.825166i	0.997060	−	0.0766262i	$-0.0244148\pi$
$499$	31.9266	+	18.4328i	1.42923	+	0.825166i	0.432170	+	0.901792i	$0.357748\pi$
$500$	−19.9395	+	10.1202i	−0.891720	+	0.452588i
$501$	−23.0737	+	13.3216i	−1.03086	+	0.595167i
$502$	29.0422	+	13.7529i	1.29622	+	0.613822i
$503$	−11.0315	−	11.0315i	−0.491869	−	0.491869i	0.417026	−	0.908895i	$-0.363072\pi$
$503$	−11.0315	−	11.0315i	−0.491869	−	0.491869i	−0.908895	+	0.417026i	$0.863072\pi$
$504$	4.00687	+	9.34354i	0.178480	+	0.416194i
$505$	7.74056	−	11.4169i	0.344450	−	0.508047i
$506$	−3.22498	−	9.02681i	−0.143368	−	0.401290i
$507$	−7.63799	+	28.5054i	−0.339215	+	1.26597i
$508$	28.4746	+	2.83197i	1.26336	+	0.125648i
$509$	13.7230	−	23.7690i	0.608263	−	1.05354i	−0.383264	−	0.923639i	$-0.625200\pi$
$509$	13.7230	−	23.7690i	0.608263	−	1.05354i	0.991527	−	0.129903i	$-0.0414667\pi$
$510$	20.1340	−	35.6206i	0.891549	−	1.57731i
$511$	−1.91847	+	0.863447i	−0.0848682	+	0.0381967i
$512$	−15.1235	−	16.8310i	−0.668369	−	0.743830i
$513$	−2.68511	−	10.0210i	−0.118550	−	0.442436i
$514$	6.53497	+	1.19230i	0.288245	+	0.0525902i
$515$	4.35798	−	3.77010i	0.192036	−	0.166131i
$516$	11.3360	+	4.27893i	0.499039	+	0.188369i
$517$	38.2173	−	38.2173i	1.68079	−	1.68079i
$518$	−3.97212	−	7.19808i	−0.174525	−	0.316266i
$519$	36.1187			1.58543
$520$	−2.96098	+	32.8124i	−0.129848	+	1.43892i
$521$	−5.65625	−	9.79692i	−0.247805	−	0.429211i	0.715111	−	0.699010i	$-0.246376\pi$
$521$	−5.65625	−	9.79692i	−0.247805	−	0.429211i	−0.962917	+	0.269800i	$0.913043\pi$
$522$	3.37589	+	4.88266i	0.147759	+	0.213708i
$523$	9.65245	+	36.0234i	0.422072	+	1.57520i	0.770234	+	0.637761i	$0.220139\pi$
$523$	9.65245	+	36.0234i	0.422072	+	1.57520i	−0.348162	+	0.937434i	$0.613194\pi$
$524$	−21.0093	+	3.44804i	−0.917795	+	0.150628i
$525$	6.70126	−	26.7925i	0.292467	−	1.16932i
$526$	4.38048	−	5.15801i	0.190998	−	0.224900i
$527$	−0.206791	−	0.771756i	−0.00900798	−	0.0336182i
$528$	39.3246	−	2.50205i	1.71139	−	0.108888i
$529$	−18.1316	+	10.4683i	−0.788331	+	0.455143i
$530$	−2.31570	+	8.96920i	−0.100587	+	0.389597i
$531$	−17.4502			−0.757273
$532$	12.0073	+	10.6040i	0.520583	+	0.459742i
$533$	−5.07286	−	5.07286i	−0.219730	−	0.219730i
$534$	−7.05824	−	19.7562i	−0.305440	−	0.854934i
$535$	−11.1685	+	9.66190i	−0.482856	+	0.417721i
$536$	−21.3224	−	0.379472i	−0.920989	−	0.0163907i
$537$	−38.7932	+	10.3946i	−1.67405	+	0.448560i
$538$	−1.29000	−	15.8254i	−0.0556159	−	0.682281i
$539$	−31.3301	+	10.4599i	−1.34948	+	0.450540i
$540$	5.28771	+	14.3844i	0.227547	+	0.619005i
$541$	13.8909	+	8.01989i	0.597215	+	0.344802i	0.767945	−	0.640516i	$-0.221279\pi$
$541$	13.8909	+	8.01989i	0.597215	+	0.344802i	−0.170730	+	0.985318i	$0.554613\pi$
$542$	−9.86110	−	14.2624i	−0.423571	−	0.612624i
$543$	3.91571	−	14.6136i	0.168039	−	0.627131i
$544$	−21.7296	−	27.5138i	−0.931650	−	1.17964i
$545$	−35.5641	−	24.1120i	−1.52340	−	1.03285i
$546$	−28.2111	−	29.3247i	−1.20732	−	1.25498i
$547$	9.55550	+	9.55550i	0.408564	+	0.408564i	0.881238	−	0.472674i	$-0.156711\pi$
$547$	9.55550	+	9.55550i	0.408564	+	0.408564i	−0.472674	+	0.881238i	$0.656711\pi$
$548$	20.5229	−	9.27518i	0.876693	−	0.396216i
$549$	−4.31185	−	7.46835i	−0.184025	−	0.318741i
$550$	−27.7864	−	18.4707i	−1.18482	−	0.787592i
$551$	8.10040	+	4.67677i	0.345089	+	0.199237i
$552$	2.04922	+	8.23096i	0.0872207	+	0.350333i
$553$	0.00452081	+	0.0278167i	0.000192245	+	0.00118289i
$554$	−16.9094	−	14.3605i	−0.718413	−	0.610118i
$555$	4.47448	+	9.22992i	0.189931	+	0.391788i
$556$	13.7892	−	11.2945i	0.584793	−	0.478993i
$557$	13.9885	+	3.74820i	0.592710	+	0.158816i	0.542692	−	0.839932i	$-0.317405\pi$
$557$	13.9885	+	3.74820i	0.592710	+	0.158816i	0.0500187	+	0.998748i	$0.484072\pi$
$558$	−0.223851	−	0.106004i	−0.00947636	−	0.00448752i
$559$	−15.1165			−0.639361
$560$	−19.0803	−	13.9980i	−0.806288	−	0.591523i
$561$	61.0542			2.57771
$562$	−22.7439	−	10.7704i	−0.959394	−	0.454320i
$563$	−25.0909	−	6.72308i	−1.05745	−	0.283344i	−0.312125	−	0.950041i	$-0.601041\pi$
$563$	−25.0909	−	6.72308i	−1.05745	−	0.283344i	−0.745329	+	0.666697i	$0.767707\pi$
$564$	−36.9990	+	30.3052i	−1.55794	+	1.27608i
$565$	−14.1109	+	40.6653i	−0.593650	+	1.71080i
$566$	12.0122	+	10.2015i	0.504911	+	0.428800i
$567$	−27.7810	−	10.5358i	−1.16669	−	0.442461i
$568$	−5.40557	+	1.34580i	−0.226813	+	0.0564684i
$569$	−22.1009	−	12.7599i	−0.926516	−	0.534925i	−0.0408083	−	0.999167i	$-0.512993\pi$
$569$	−22.1009	−	12.7599i	−0.926516	−	0.534925i	−0.885708	+	0.464242i	$0.846327\pi$
$570$	−14.2611	−	14.0029i	−0.597332	−	0.586519i
$571$	10.9626	+	18.9878i	0.458770	+	0.794613i	0.998896	−	0.0469709i	$-0.0149568\pi$
$571$	10.9626	+	18.9878i	0.458770	+	0.794613i	−0.540126	+	0.841584i	$0.681623\pi$
$572$	−44.7972	+	20.2458i	−1.87307	+	0.846520i
$573$	−3.61072	−	3.61072i	−0.150840	−	0.150840i
$574$	5.00232	−	1.23714i	0.208793	−	0.0516371i
$575$	2.83789	−	6.59786i	0.118348	−	0.275150i
$576$	−10.8615	−	0.386723i	−0.452563	−	0.0161135i
$577$	−4.99523	+	18.6424i	−0.207954	+	0.776095i	0.780575	+	0.625062i	$0.214927\pi$
$577$	−4.99523	+	18.6424i	−0.207954	+	0.776095i	−0.988529	+	0.151033i	$0.951740\pi$
$578$	−17.2211	−	24.9074i	−0.716303	−	1.03601i
$579$	−18.4488	−	10.6514i	−0.766707	−	0.442659i
$580$	−12.5414	−	5.79933i	−0.520753	−	0.240804i
$581$	1.60795	−	15.9159i	0.0667092	−	0.660303i
$582$	2.79135	+	34.2436i	0.115705	+	1.41944i
$583$	−13.3512	+	3.57745i	−0.552951	+	0.148163i
$584$	0.0400202	−	2.24873i	0.00165605	−	0.0930530i
$585$	10.3532	+	11.9676i	0.428054	+	0.494801i
$586$	−3.15519	−	8.83145i	−0.130340	−	0.364824i
$587$	−31.2202	−	31.2202i	−1.28859	−	1.28859i	−0.935641	−	0.352954i	$-0.885177\pi$
$587$	−31.2202	−	31.2202i	−1.28859	−	1.28859i	−0.352954	−	0.935641i	$-0.614823\pi$
$588$	28.5036	−	6.46669i	1.17547	−	0.266682i
$589$	−0.390274			−0.0160810
$590$	34.9897	−	20.6297i	1.44050	−	0.849312i
$591$	−26.0316	+	15.0293i	−1.07080	+	0.618224i
$592$	8.77122	−	0.558074i	0.360495	−	0.0229367i
$593$	−4.31871	−	16.1176i	−0.177348	−	0.661872i	−0.996140	−	0.0877812i	$-0.972022\pi$
$593$	−4.31871	−	16.1176i	−0.177348	−	0.661872i	0.818792	−	0.574091i	$-0.194644\pi$
$594$	−14.8028	+	17.4303i	−0.607366	+	0.715173i
$595$	−28.1268	−	23.5224i	−1.15309	−	0.964325i
$596$	−13.7778	+	2.26121i	−0.564361	+	0.0926229i
$597$	−8.61700	−	32.1591i	−0.352670	−	1.31618i
$598$	−6.01820	−	8.70431i	−0.246102	−	0.355946i
$599$	10.1866	+	17.6436i	0.416212	+	0.720899i	0.995555	−	0.0941842i	$-0.0300243\pi$
$599$	10.1866	+	17.6436i	0.416212	+	0.720899i	−0.579343	+	0.815084i	$0.696691\pi$
$600$	22.8496	+	18.6977i	0.932833	+	0.763330i
$601$	−11.5508			−0.471166			−0.235583	−	0.971854i	$-0.575700\pi$
$601$	−11.5508			−0.471166			−0.235583	+	0.971854i	$0.575700\pi$
$602$	5.60990	−	9.29643i	0.228643	−	0.378894i
$603$	−7.24304	+	7.24304i	−0.294959	+	0.294959i
$604$	−14.4407	−	5.45083i	−0.587583	−	0.221791i
$605$	1.81711	−	25.1236i	0.0738760	−	1.02142i
$606$	−17.9171	−	3.26896i	−0.727832	−	0.132793i
$607$	−9.60220	−	35.8359i	−0.389741	−	1.45453i	−0.830556	−	0.556936i	$-0.811977\pi$
$607$	−9.60220	−	35.8359i	−0.389741	−	1.45453i	0.440814	−	0.897598i	$-0.354690\pi$
$608$	−15.7287	+	6.77408i	−0.637884	+	0.274725i
$609$	15.5624	−	7.00415i	0.630618	−	0.283823i
$610$	17.4749	+	9.87744i	0.707539	+	0.399926i
$611$	29.8334	−	51.6729i	1.20693	−	2.09046i
$612$	−16.7572	−	1.66660i	−0.677370	−	0.0673683i
$613$	4.85483	−	18.1185i	0.196085	−	0.731798i	−0.795899	−	0.605430i	$-0.793001\pi$
$613$	4.85483	−	18.1185i	0.196085	−	0.731798i	0.991983	−	0.126368i	$-0.0403321\pi$
$614$	6.13143	+	17.1620i	0.247444	+	0.692603i
$615$	−6.31396	+	1.21167i	−0.254603	+	0.0488592i
$616$	4.17387	−	35.0630i	0.168170	−	1.41273i
$617$	24.5397	+	24.5397i	0.987932	+	0.987932i	0.999928	−	0.0119960i	$-0.00381855\pi$
$617$	24.5397	+	24.5397i	0.987932	+	0.987932i	−0.0119960	+	0.999928i	$0.503819\pi$
$618$	−6.87658	−	3.25640i	−0.276617	−	0.130992i
$619$	13.2073	−	7.62523i	0.530845	−	0.306484i	−0.210515	−	0.977591i	$-0.567514\pi$
$619$	13.2073	−	7.62523i	0.530845	−	0.306484i	0.741361	+	0.671107i	$0.234181\pi$
$620$	0.574167	−	0.0520862i	0.0230591	−	0.00209183i
$621$	−4.26307	−	2.46129i	−0.171071	−	0.0987680i
$622$	21.3151	−	1.73750i	0.854659	−	0.0696672i
$623$	−18.5562	+	3.01579i	−0.743440	+	0.120825i
$624$	41.2191	−	13.9043i	1.65009	−	0.556616i
$625$	−5.81607	−	24.3141i	−0.232643	−	0.972562i
$626$	2.22831	−	12.2133i	0.0890611	−	0.488141i
$627$	7.71871	−	28.8066i	0.308256	−	1.15043i
$628$	6.97419	+	15.4315i	0.278300	+	0.615786i
$629$	13.6179			0.542982
$630$	−11.2021	+	1.92576i	−0.446303	+	0.0767243i
$631$		−	5.77307i		−	0.229822i	−0.993376	−	0.114911i	$-0.963342\pi$
$631$		−	5.77307i		−	0.229822i	0.993376	−	0.114911i	$-0.0366583\pi$
$632$	−0.0289576	−	0.00831415i	−0.00115187	−	0.000330719i
$633$	19.2272	+	5.15191i	0.764213	+	0.204770i
$634$	8.07223	−	44.2436i	0.320589	−	1.75714i
$635$	−10.4880	+	30.2247i	−0.416203	+	1.19943i
$636$	12.0697	−	1.98087i	0.478594	−	0.0785467i
$637$	−30.4203	+	20.1059i	−1.20530	+	0.796624i
$638$	−1.67507	−	20.5493i	−0.0663166	−	0.813555i
$639$	−1.33783	+	2.31719i	−0.0529237	+	0.0916665i
$640$	22.2358	−	12.0651i	0.878949	−	0.476916i
$641$	−2.16994	−	3.75844i	−0.0857073	−	0.148449i	0.819985	−	0.572385i	$-0.193982\pi$
$641$	−2.16994	−	3.75844i	−0.0857073	−	0.148449i	−0.905692	+	0.423935i	$0.860648\pi$
$642$	17.6231	+	8.34540i	0.695527	+	0.329367i
$643$	−14.7272	+	14.7272i	−0.580786	+	0.580786i	−0.935119	−	0.354334i	$-0.884708\pi$
$643$	−14.7272	+	14.7272i	−0.580786	+	0.580786i	0.354334	+	0.935119i	$0.384708\pi$
$644$	7.58643	−	0.470834i	0.298947	−	0.0185535i
$645$	−7.60211	+	11.2127i	−0.299333	+	0.441501i
$646$	−24.9879	+	8.92736i	−0.983136	+	0.351242i
$647$	26.2452	+	7.03239i	1.03181	+	0.276472i	0.734714	−	0.678377i	$-0.237316\pi$
$647$	26.2452	+	7.03239i	1.03181	+	0.276472i	0.297092	+	0.954849i	$0.403983\pi$
$648$	22.8561	−	22.0568i	0.897872	−	0.866472i
$649$	52.4887	+	30.3044i	2.06036	+	1.18955i
$650$	−34.9078	−	11.7569i	−1.36919	−	0.461144i
$651$	−0.416218	+	0.577760i	−0.0163129	+	0.0226442i
$652$	−6.46287	+	9.00076i	−0.253106	+	0.352497i
$653$	24.4017	−	6.53841i	0.954911	−	0.255868i	0.252466	−	0.967606i	$-0.418758\pi$
$653$	24.4017	−	6.53841i	0.954911	−	0.255868i	0.702445	+	0.711738i	$0.252092\pi$
$654$	−10.1829	+	55.8122i	−0.398183	+	2.18243i
$655$	1.71713	−	23.7413i	0.0670940	−	0.927650i
$656$	−1.08504	+	5.40091i	−0.0423635	+	0.210870i
$657$	−0.763873	−	0.763873i	−0.0298015	−	0.0298015i
$658$	20.7066	+	37.5234i	0.807226	+	1.46282i
$659$			6.74876i			0.262894i	0.991323	+	0.131447i	$0.0419624\pi$
$659$			6.74876i			0.262894i	−0.991323	+	0.131447i	$0.958038\pi$
$660$	−7.51114	+	43.4102i	−0.292371	+	1.68974i
$661$	−36.8300	+	21.2638i	−1.43252	+	0.827067i	−0.997313	−	0.0732628i	$-0.976659\pi$
$661$	−36.8300	+	21.2638i	−1.43252	+	0.827067i	−0.435209	+	0.900330i	$0.643325\pi$
$662$	−10.8752	+	7.51919i	−0.422678	+	0.292242i
$663$	65.1054	−	17.4449i	2.52849	−	0.677506i
$664$	14.6558	+	8.81289i	0.568754	+	0.342007i
$665$	−14.6543	+	10.2970i	−0.568268	+	0.399301i
$666$	2.73267	−	3.21771i	0.105889	−	0.124684i
$667$	4.28693	−	1.14868i	0.165991	−	0.0444770i
$668$	−25.3986	−	2.52603i	−0.982700	−	0.0977352i
$669$	5.90747	+	10.2320i	0.228396	+	0.395593i
$670$	5.96041	−	23.0859i	0.230271	−	0.891888i
$671$			29.9522i			1.15629i
$672$	−6.74595	+	30.5091i	−0.260231	+	1.17692i
$673$	−21.0916	+	21.0916i	−0.813021	+	0.813021i	−0.985086	−	0.172065i	$-0.944956\pi$
$673$	−21.0916	+	21.0916i	−0.813021	+	0.813021i	0.172065	+	0.985086i	$0.444956\pi$
$674$	−7.44598	−	20.8415i	−0.286808	−	0.802784i
$675$	−17.0165	+	2.00691i	−0.654964	+	0.0772461i
$676$	−21.8709	+	17.9141i	−0.841190	+	0.689004i
$677$	6.65529	+	24.8379i	0.255784	+	0.954597i	0.967653	+	0.252285i	$0.0811822\pi$
$677$	6.65529	+	24.8379i	0.255784	+	0.954597i	−0.711869	+	0.702312i	$0.752151\pi$
$678$	56.6468	−	4.61755i	2.17551	−	0.177336i
$679$	30.6320	+	3.09469i	1.17555	+	0.118763i
$680$	35.5705	−	16.4687i	1.36407	−	0.631547i
$681$	21.0918	−	36.5320i	0.808238	−	1.39991i
$682$	0.489235	+	0.707597i	0.0187338	+	0.0270953i
$683$	33.1059	+	8.87070i	1.26676	+	0.339428i	0.828790	−	0.559560i	$-0.189030\pi$
$683$	33.1059	+	8.87070i	1.26676	+	0.339428i	0.437973	+	0.898988i	$0.355697\pi$
$684$	−2.90485	+	7.69570i	−0.111070	+	0.294252i
$685$	4.74549	+	24.7286i	0.181316	+	0.944829i
$686$	−1.07551	−	26.1695i	−0.0410632	−	0.999157i
$687$	25.3018	−	25.3018i	0.965326	−	0.965326i
$688$	6.43040	+	9.66368i	0.245157	+	0.368424i
$689$	−13.2150	+	7.62966i	−0.503450	+	0.290667i
$690$	−9.48301	+	0.0866175i	−0.361012	+	0.00329747i
$691$	−0.933578	+	1.61700i	−0.0355150	+	0.0615138i	−0.883237	−	0.468928i	$-0.844640\pi$
$691$	−0.933578	+	1.61700i	−0.0355150	+	0.0615138i	0.847722	+	0.530441i	$0.177974\pi$
$692$	28.1062	+	20.1813i	1.06844	+	0.767177i
$693$	−10.7266	−	13.1375i	−0.407469	−	0.499054i
$694$	−23.1430	+	27.2509i	−0.878498	+	1.03443i
$695$	8.69317	+	17.9322i	0.329751	+	0.680207i
$696$	−0.324638	+	18.2413i	−0.0123054	+	0.691436i
$697$	−2.20917	+	8.24472i	−0.0836782	+	0.312291i
$698$	−7.04759	−	3.33738i	−0.266755	−	0.126322i
$699$			59.3278i			2.24398i
$700$	20.1850	−	17.1046i	0.762920	−	0.646493i
$701$			4.84076i			0.182833i	0.995813	+	0.0914165i	$0.0291395\pi$
$701$			4.84076i			0.182833i	−0.995813	+	0.0914165i	$0.970861\pi$
$702$	−10.8047	+	22.8165i	−0.407798	+	0.861151i
$703$	1.72163	−	6.42522i	0.0649326	−	0.242332i
$704$	31.9990	+	20.0256i	1.20601	+	0.754743i
$705$	−23.3254	−	48.1154i	−0.878484	−	1.81213i
$706$	12.7452	+	10.8240i	0.479672	+	0.407366i
$707$	−5.78734	+	15.2602i	−0.217655	+	0.573920i
$708$	−43.5649	−	31.2812i	−1.63727	−	1.17562i
$709$	−2.27309	+	3.93711i	−0.0853677	+	0.147861i	−0.905548	−	0.424244i	$-0.860540\pi$
$709$	−2.27309	+	3.93711i	−0.0853677	+	0.147861i	0.820180	+	0.572105i	$0.193873\pi$
$710$	−0.0568848	−	6.22783i	−0.00213485	−	0.233726i
$711$	−0.0125321	+	0.00723541i	−0.000469990	+	0.000271349i
$712$	5.54629	−	19.3173i	0.207856	−	0.723946i
$713$	−0.130943	+	0.130943i	−0.00490384	+	0.00490384i
$714$	−13.4330	+	46.5128i	−0.502716	+	1.74070i
$715$	−10.3584	−	53.9774i	−0.387384	−	2.01864i
$716$	−35.9953	−	13.5869i	−1.34521	−	0.507768i
$717$	−1.93660	−	0.518911i	−0.0723237	−	0.0193791i
$718$	−4.10746	+	2.83992i	−0.153289	+	0.105985i
$719$	−17.0696	+	29.5654i	−0.636589	+	1.10260i	0.349588	+	0.936904i	$0.386322\pi$
$719$	−17.0696	+	29.5654i	−0.636589	+	1.10260i	−0.986176	+	0.165700i	$0.947012\pi$
$720$	3.24651	−	11.7095i	0.120990	−	0.436388i
$721$	−3.98536	+	5.53217i	−0.148423	+	0.206029i
$722$	−1.13002	−	13.8628i	−0.0420550	−	0.515919i
$723$	−3.16873	−	11.8259i	−0.117846	−	0.439808i
$724$	11.2124	−	9.18387i	0.416706	−	0.341316i
$725$	9.56892	−	12.1278i	0.355381	−	0.450416i
$726$	−31.3206	+	11.1898i	−1.16242	+	0.415294i
$727$	−37.6337	+	37.6337i	−1.39576	+	1.39576i	−0.584017	+	0.811741i	$0.698520\pi$
$727$	−37.6337	+	37.6337i	−1.39576	+	1.39576i	−0.811741	+	0.584017i	$0.801480\pi$
$728$	−5.56770	−	38.5823i	−0.206353	−	1.42995i
$729$			6.20653i			0.229872i
$730$	2.43471	+	0.628602i	0.0901128	+	0.0232656i
$731$	8.99262	+	15.5757i	0.332604	+	0.576087i
$732$	2.62308	−	26.3744i	0.0969519	−	0.974824i
$733$	−31.2975	+	8.38615i	−1.15600	+	0.309749i	−0.785367	−	0.619030i	$-0.787526\pi$
$733$	−31.2975	+	8.38615i	−1.15600	+	0.309749i	−0.370633	+	0.928779i	$0.620859\pi$
$734$	31.7698	+	26.9807i	1.17264	+	0.995877i
$735$	−0.384764	+	32.6756i	−0.0141922	+	1.20526i
$736$	−3.00441	+	7.55002i	−0.110744	+	0.278297i
$737$	34.3649	−	9.20805i	1.26585	−	0.339183i
$738$	1.50480	+	2.17644i	0.0553924	+	0.0801158i
$739$	−26.8817	+	15.5201i	−0.988858	+	0.570917i	−0.904933	−	0.425555i	$-0.860079\pi$
$739$	−26.8817	+	15.5201i	−0.988858	+	0.570917i	−0.0839249	+	0.996472i	$0.526746\pi$
$740$	−1.67533	+	9.68249i	−0.0615865	+	0.355935i
$741$		−	32.9236i		−	1.20948i
$742$	0.212091	−	10.9584i	0.00778610	−	0.402297i
$743$	−21.2074	−	21.2074i	−0.778023	−	0.778023i	0.201472	−	0.979494i	$-0.435428\pi$
$743$	−21.2074	−	21.2074i	−0.778023	−	0.778023i	−0.979494	+	0.201472i	$0.935428\pi$
$744$	−0.368827	−	0.665917i	−0.0135218	−	0.0244137i
$745$	1.12609	−	15.5695i	0.0412568	−	0.570422i
$746$	47.1527	+	8.60300i	1.72638	+	0.314978i
$747$	7.93426	−	2.12598i	0.290300	−	0.0777855i
$748$	47.5100	+	34.1139i	1.73714	+	1.24733i
$749$	10.2136	−	14.1777i	0.373195	−	0.518040i
$750$	−26.2759	+	19.9804i	−0.959459	+	0.729581i
$751$	46.2516	+	26.7034i	1.68775	+	0.974420i	0.956240	+	0.292585i	$0.0945155\pi$
$751$	46.2516	+	26.7034i	1.68775	+	0.974420i	0.731506	+	0.681835i	$0.238818\pi$
$752$	−45.7242	+	2.90923i	−1.66739	+	0.106089i
$753$	45.8209	+	12.2777i	1.66981	+	0.447424i
$754$	−7.65775	−	21.4342i	−0.278879	−	0.780589i
$755$	9.68416	−	14.2837i	0.352443	−	0.519836i
$756$	−10.0220	−	15.1122i	−0.364497	−	0.549624i
$757$	8.54789	−	8.54789i	0.310678	−	0.310678i	−0.534494	−	0.845172i	$-0.679498\pi$
$757$	8.54789	−	8.54789i	0.310678	−	0.310678i	0.845172	+	0.534494i	$0.179498\pi$
$758$	0.203504	−	0.429743i	0.00739161	−	0.0156090i
$759$	−7.07531	−	12.2548i	−0.256817	−	0.444821i
$760$	−3.27333	−	18.8649i	−0.118736	−	0.684303i
$761$	4.37462	−	7.57706i	0.158580	−	0.274668i	−0.775777	−	0.631007i	$-0.782642\pi$
$761$	4.37462	−	7.57706i	0.158580	−	0.274668i	0.934357	+	0.356339i	$0.115975\pi$
$762$	42.1030	−	3.43201i	1.52523	−	0.124329i
$763$	47.5360	+	18.0277i	1.72092	+	0.652648i
$764$	−0.792240	−	4.82721i	−0.0286623	−	0.174642i
$765$	6.17214	−	17.7871i	0.223154	−	0.643094i
$766$	5.61018	+	1.02357i	0.202704	+	0.0369833i
$767$	64.6305	+	17.3177i	2.33367	+	0.625305i
$768$	−26.4228	−	20.4358i	−0.953452	−	0.737413i
$769$		−	18.9788i		−	0.684394i	−0.939628	−	0.342197i	$-0.888829\pi$
$769$		−	18.9788i		−	0.684394i	0.939628	−	0.342197i	$-0.111171\pi$
$770$	37.0394	+	13.6613i	1.33481	+	0.492319i
$771$	9.80641			0.353169
$772$	−8.40471	−	18.5968i	−0.302492	−	0.669314i
$773$	6.42184	−	23.9666i	0.230977	−	0.862020i	−0.748944	−	0.662634i	$-0.769439\pi$
$773$	6.42184	−	23.9666i	0.230977	−	0.862020i	0.979921	−	0.199386i	$-0.0638947\pi$
$774$	5.48482	+	1.00070i	0.197148	+	0.0359695i
$775$	−0.0927548	+	0.637866i	−0.00333185	+	0.0229128i
$776$	−16.9614	+	28.2067i	−0.608880	+	1.01256i
$777$	−7.67580	−	9.40104i	−0.275368	−	0.337260i
$778$	−2.61286	−	32.0538i	−0.0936754	−	1.14919i
$779$	3.61074	+	2.08466i	0.129368	+	0.0746908i
$780$	4.39400	+	48.4368i	0.157330	+	1.73432i
$781$	8.04816	−	4.64661i	0.287986	−	0.166269i
$782$	−5.38855	+	11.3791i	−0.192694	+	0.406915i
$783$	−7.48675	−	7.48675i	−0.267554	−	0.267554i
$784$	25.7937	+	10.8942i	0.921204	+	0.389080i
$785$	−18.5939	+	3.56823i	−0.663644	+	0.127356i
$786$	−29.5974	+	10.5742i	−1.05570	+	0.377168i
$787$	−3.99705	+	14.9172i	−0.142479	+	0.531740i	0.857375	+	0.514692i	$0.172094\pi$
$787$	−3.99705	+	14.9172i	−0.142479	+	0.531740i	−0.999855	+	0.0170486i	$0.994573\pi$
$788$	−28.6544	−	2.84984i	−1.02077	−	0.101521i
$789$	4.99492	−	8.65146i	0.177824	−	0.308000i
$790$	0.0165746	−	0.0293234i	0.000589699	−	0.00104328i
$791$	5.11934	−	50.6724i	0.182023	−	1.80170i
$792$	17.5943	−	4.38037i	0.625187	−	0.155650i
$793$	8.55823	+	31.9397i	0.303911	+	1.13421i
$794$	3.39656	−	18.6164i	0.120539	−	0.660672i
$795$	−0.986481	+	13.6392i	−0.0349869	+	0.483733i
$796$	11.2634	−	29.8397i	0.399221	−	1.05764i
$797$	−29.4180	+	29.4180i	−1.04204	+	1.04204i	−0.0429641	+	0.999077i	$0.513680\pi$
$797$	−29.4180	+	29.4180i	−1.04204	+	1.04204i	−0.999077	+	0.0429641i	$0.986320\pi$
$798$	20.2475	+	12.2183i	0.716753	+	0.432523i
$799$	−70.9899			−2.51144
$800$	7.33342	+	27.3170i	0.259275	+	0.965803i
$801$	−4.82667	−	8.36004i	−0.170542	−	0.295387i
$802$	34.7212	−	24.0064i	1.22605	−	0.847696i
$803$	0.971108	+	3.62423i	0.0342697	+	0.127896i
$804$	−31.0663	+	5.09860i	−1.09562	+	0.179814i
$805$	−1.46193	+	8.37152i	−0.0515261	+	0.295057i
$806$	0.723880	+	0.614761i	0.0254976	+	0.0216540i
$807$	−6.06659	−	22.6408i	−0.213554	−	0.796995i
$808$	−12.1159	−	12.5549i	−0.426235	−	0.441681i
$809$	−4.08427	+	2.35805i	−0.143595	+	0.0829047i	−0.570076	−	0.821592i	$-0.693086\pi$
$809$	−4.08427	+	2.35805i	−0.143595	+	0.0829047i	0.426481	+	0.904496i	$0.359753\pi$
$810$	18.0363	+	30.5911i	0.633732	+	1.07486i
$811$	−6.29734			−0.221129			−0.110565	−	0.993869i	$-0.535266\pi$
$811$	−6.29734			−0.221129			−0.110565	+	0.993869i	$0.535266\pi$
$812$	16.0236	+	3.24508i	0.562318	+	0.113880i
$813$	−18.1000	−	18.1000i	−0.634793	−	0.634793i
$814$	−13.8076	+	4.93300i	−0.483956	+	0.172902i
$815$	−8.10532	−	9.36919i	−0.283917	−	0.328189i
$816$	−38.8473	−	34.1996i	−1.35993	−	1.19723i
$817$	8.48581	−	2.27377i	0.296881	−	0.0795490i
$818$	−6.70770	+	0.546776i	−0.234529	+	0.0191176i
$819$	−15.1921	−	10.9444i	−0.530856	−	0.382428i
$820$	−5.59030	−	2.58504i	−0.195222	−	0.0902736i
$821$	−37.2935	−	21.5314i	−1.30155	−	0.751452i	−0.320882	−	0.947119i	$-0.603979\pi$
$821$	−37.2935	−	21.5314i	−1.30155	−	0.751452i	−0.980670	+	0.195667i	$0.937313\pi$
$822$	27.3470	−	18.9078i	0.953836	−	0.659486i
$823$	−9.74251	+	36.3595i	−0.339603	+	1.26741i	0.559190	+	0.829040i	$0.311112\pi$
$823$	−9.74251	+	36.3595i	−0.339603	+	1.26741i	−0.898792	+	0.438375i	$0.855554\pi$
$824$	−3.53159	−	6.37629i	−0.123029	−	0.222128i
$825$	−45.2472	−	19.4619i	−1.57531	−	0.677575i
$826$	−34.6352	+	33.3200i	−1.20511	+	1.15935i
$827$	−3.81552	−	3.81552i	−0.132679	−	0.132679i	0.637649	−	0.770327i	$-0.279907\pi$
$827$	−3.81552	−	3.81552i	−0.132679	−	0.132679i	−0.770327	+	0.637649i	$0.779907\pi$
$828$	1.60740	+	3.55664i	0.0558610	+	0.123602i
$829$	11.0476	+	19.1351i	0.383701	+	0.664589i	0.991588	−	0.129434i	$-0.0413161\pi$
$829$	11.0476	+	19.1351i	0.383701	+	0.664589i	−0.607887	+	0.794023i	$0.707983\pi$
$830$	−13.3958	+	13.6428i	−0.464976	+	0.473548i
$831$	−28.3620	−	16.3748i	−0.983866	−	0.568035i
$832$	39.8442	+	12.2114i	1.38135	+	0.423353i
$833$	38.8132	+	19.3836i	1.34480	+	0.671600i
$834$	17.0329	−	20.0562i	0.589802	−	0.694490i
$835$	9.35500	−	26.9596i	0.323743	−	0.932975i
$836$	22.1021	−	18.1034i	0.764416	−	0.626120i
$837$	0.426722	+	0.114340i	0.0147497	+	0.00395217i
$838$	−0.896556	+	1.89327i	−0.0309710	+	0.0654019i
$839$	11.3212			0.390852			0.195426	−	0.980718i	$-0.437391\pi$
$839$	11.3212			0.390852			0.195426	+	0.980718i	$0.437391\pi$
$840$	−31.4185	−	15.2732i	−1.08404	−	0.526974i
$841$	−19.4541			−0.670830
$842$	−10.1019	+	21.3324i	−0.348135	+	0.735162i
$843$	−35.8839	−	9.61506i	−1.23591	−	0.331160i
$844$	12.0833	+	14.7522i	0.415923	+	0.507792i
$845$	−13.7882	−	28.4421i	−0.474327	−	0.978438i
$846$	−14.2453	+	16.7739i	−0.489765	+	0.576697i
$847$	4.78111	+	29.4183i	0.164281	+	1.01083i
$848$	10.4990	+	5.20248i	0.360536	+	0.178654i
$849$	20.1479	+	11.6324i	0.691474	+	0.399223i
$850$	8.65214	+	42.9621i	0.296766	+	1.47359i
$851$	−1.57812	−	2.73339i	−0.0540974	−	0.0936994i
$852$	−7.49372	+	3.38674i	−0.256731	+	0.116028i
$853$	−11.5571	−	11.5571i	−0.395709	−	0.395709i	0.481007	−	0.876717i	$-0.340271\pi$
$853$	−11.5571	−	11.5571i	−0.395709	−	0.395709i	−0.876717	+	0.481007i	$0.840271\pi$
$854$	−22.8185	−	6.59000i	−0.780832	−	0.225505i
$855$	−7.61202	−	5.16086i	−0.260326	−	0.176498i
$856$	9.05064	+	16.3409i	0.309344	+	0.558522i
$857$	7.46243	−	27.8502i	0.254912	−	0.951343i	−0.713228	−	0.700932i	$-0.752768\pi$
$857$	7.46243	−	27.8502i	0.254912	−	0.951343i	0.968140	−	0.250411i	$-0.0805658\pi$
$858$	−59.6930	+	41.2720i	−2.03788	+	1.40900i
$859$	3.24355	+	1.87267i	0.110669	+	0.0638945i	0.554313	−	0.832309i	$-0.312981\pi$
$859$	3.24355	+	1.87267i	0.110669	+	0.0638945i	−0.443644	+	0.896203i	$0.646315\pi$
$860$	−12.1808	+	4.47766i	−0.415361	+	0.152687i
$861$	6.93689	−	3.12209i	0.236409	−	0.106401i
$862$	−15.9043	+	1.29643i	−0.541702	+	0.0441567i
$863$	−7.38095	+	1.97772i	−0.251250	+	0.0673223i	−0.382246	−	0.924061i	$-0.624849\pi$
$863$	−7.38095	+	1.97772i	−0.251250	+	0.0673223i	0.130996	+	0.991383i	$0.458183\pi$
$864$	19.1823	−	2.79863i	0.652594	−	0.0952114i
$865$	−29.2567	+	25.3100i	−0.994757	+	0.860567i
$866$	39.7256	−	14.1926i	1.34993	−	0.482286i
$867$	−31.6092	−	31.6092i	−1.07350	−	1.07350i
$868$	−0.646708	+	0.217030i	−0.0219507	+	0.00736649i
$869$	0.0502607			0.00170498
$870$	−19.7500	−	5.09913i	−0.669588	−	0.172877i
$871$	34.0142	−	19.6381i	1.15253	−	0.665412i
$872$	−39.1089	+	37.7412i	−1.32440	+	1.27808i
$873$	4.09169	+	15.2704i	0.138483	+	0.516825i
$874$	4.68764	+	3.98102i	0.158562	+	0.134660i
$875$	13.3466	+	26.3982i	0.451199	+	0.892423i
$876$	−0.537713	−	3.27635i	−0.0181677	−	0.110698i
$877$	9.68004	+	36.1264i	0.326872	+	1.21990i	0.912417	+	0.409262i	$0.134214\pi$
$877$	9.68004	+	36.1264i	0.326872	+	1.21990i	−0.585545	+	0.810640i	$0.699119\pi$
$878$	−4.31294	+	2.98199i	−0.145555	+	0.100637i
$879$	−6.92219	−	11.9896i	−0.233480	−	0.404399i
$880$	−30.1003	+	29.5833i	−1.01468	+	0.997253i
$881$	−1.03453			−0.0348543			−0.0174272	−	0.999848i	$-0.505548\pi$
$881$	−1.03453			−0.0348543			−0.0174272	+	0.999848i	$0.505548\pi$
$882$	12.3686	−	5.28134i	0.416472	−	0.177832i
$883$	20.2957	−	20.2957i	0.683005	−	0.683005i	−0.277671	−	0.960676i	$-0.589563\pi$
$883$	20.2957	−	20.2957i	0.683005	−	0.683005i	0.960676	+	0.277671i	$0.0895625\pi$
$884$	60.4099	+	22.8026i	2.03181	+	0.766934i
$885$	45.3482	−	39.2308i	1.52436	−	1.31873i
$886$	2.33183	−	12.7807i	0.0783392	−	0.429375i
$887$	−12.6656	−	47.2687i	−0.425270	−	1.58713i	−0.763333	−	0.646005i	$-0.776439\pi$
$887$	−12.6656	−	47.2687i	−0.425270	−	1.58713i	0.338064	−	0.941123i	$-0.390228\pi$
$888$	12.5903	−	3.13453i	0.422501	−	0.105188i
$889$	3.80497	−	37.6625i	0.127615	−	1.26316i
$890$	19.5614	+	11.0568i	0.655698	+	0.370624i
$891$	−26.4948	+	45.8903i	−0.887609	+	1.53738i
$892$	−1.12017	+	11.2630i	−0.0375060	+	0.377112i
$893$	−8.97483	+	33.4945i	−0.300331	+	1.12085i
$894$	−19.4099	+	6.93451i	−0.649163	+	0.231925i
$895$	24.1391	−	35.6040i	0.806880	−	1.19011i
$896$	−22.2964	+	19.9718i	−0.744870	+	0.667210i
$897$	−11.0463	−	11.0463i	−0.368827	−	0.368827i
$898$	−11.9678	+	25.2726i	−0.399372	+	0.843359i
$899$	−0.344939	+	0.199151i	−0.0115044	+	0.00664205i
$900$	11.8875	+	6.57670i	0.396250	+	0.219223i
$901$	15.7228	+	9.07757i	0.523803	+	0.302418i
$902$	−0.746659	−	9.15982i	−0.0248610	−	0.304989i
$903$	5.68383	−	14.9873i	0.189146	−	0.498746i
$904$	46.6605	+	28.0581i	1.55190	+	0.933200i
$905$	7.06867	+	14.5812i	0.234970	+	0.484695i
$906$	−22.4159	−	4.08978i	−0.744720	−	0.135874i
$907$	−5.51062	+	20.5659i	−0.182977	+	0.682880i	0.812077	+	0.583550i	$0.198337\pi$
$907$	−5.51062	+	20.5659i	−0.182977	+	0.682880i	−0.995055	+	0.0993301i	$0.968330\pi$
$908$	36.8250	−	16.6428i	1.22208	−	0.552312i
$909$	−8.38045			−0.277962
$910$	43.4006	+	3.98458i	1.43872	+	0.132088i
$911$			10.3363i			0.342456i	0.985231	+	0.171228i	$0.0547735\pi$
$911$			10.3363i			0.342456i	−0.985231	+	0.171228i	$0.945227\pi$
$912$	−21.0473	+	14.0053i	−0.696947	+	0.463762i
$913$	−27.5576	−	7.38405i	−0.912025	−	0.244376i
$914$	9.89916	+	1.80610i	0.327435	+	0.0597404i
$915$	27.9953	+	9.71441i	0.925498	+	0.321149i
$916$	33.8263	−	5.55157i	1.11765	−	0.183429i
$917$	4.51805	+	27.7997i	0.149199	+	0.918028i
$918$	29.9371	−	2.44031i	0.988070	−	0.0805422i
$919$	−1.35277	+	2.34306i	−0.0446236	+	0.0772904i	−0.887475	−	0.460857i	$-0.847542\pi$
$919$	−1.35277	+	2.34306i	−0.0446236	+	0.0772904i	0.842851	+	0.538147i	$0.180876\pi$
$920$	−7.42772	−	5.23122i	−0.244885	−	0.172468i
$921$	13.4518	+	23.2992i	0.443251	+	0.767733i
$922$	7.11298	−	15.0206i	0.234253	−	0.494676i
$923$	7.25453	−	7.25453i	0.238786	−	0.238786i
$924$	−3.22891	−	52.0267i	−0.106223	−	1.71155i
$925$	−10.0922	−	4.34090i	−0.331831	−	0.142728i
$926$	17.7358	+	49.6430i	0.582835	+	1.63137i
$927$	−3.38174	−	0.906135i	−0.111071	−	0.0297614i
$928$	−10.4449	+	14.0133i	−0.342872	+	0.460010i
$929$	−28.6701	−	16.5527i	−0.940636	−	0.543076i	−0.0504764	−	0.998725i	$-0.516074\pi$
$929$	−28.6701	−	16.5527i	−0.940636	−	0.543076i	−0.890160	+	0.455649i	$0.849407\pi$
$930$	0.820041	−	0.227777i	0.0268902	−	0.00746910i
$931$	14.0525	−	15.8623i	0.460552	−	0.519867i
$932$	−33.1493	+	46.1667i	−1.08584	+	1.51224i
$933$	30.4948	−	8.17106i	0.998356	−	0.267509i
$934$	−13.8054	−	2.51879i	−0.451727	−	0.0824174i
$935$	−49.4548	+	42.7835i	−1.61735	+	1.39917i
$936$	17.5102	−	9.69824i	0.572339	−	0.316997i
$937$	22.4864	+	22.4864i	0.734598	+	0.734598i	0.971527	−	0.236929i	$-0.0761409\pi$
$937$	22.4864	+	22.4864i	0.734598	+	0.734598i	−0.236929	+	0.971527i	$0.576141\pi$
$938$	−0.545904	+	28.2061i	−0.0178244	+	0.920962i
$939$		−	18.3273i		−	0.598090i
$940$	8.73348	−	50.4746i	0.284855	−	1.64630i
$941$	−28.0033	+	16.1677i	−0.912882	+	0.527053i	−0.881357	−	0.472450i	$-0.843370\pi$
$941$	−28.0033	+	16.1677i	−0.912882	+	0.527053i	−0.0315250	+	0.999503i	$0.510036\pi$
$942$	14.2172	+	20.5628i	0.463220	+	0.669971i
$943$	1.91089	−	0.512022i	0.0622272	−	0.0166737i
$944$	−16.4222	−	48.6837i	−0.534498	−	1.58452i
$945$	19.0396	−	6.96535i	0.619358	−	0.226583i
$946$	−14.7601	−	12.5351i	−0.479891	−	0.407551i
$947$	18.9356	−	5.07379i	0.615326	−	0.164876i	0.0623239	−	0.998056i	$-0.480149\pi$
$947$	18.9356	−	5.07379i	0.615326	−	0.164876i	0.553002	+	0.833180i	$0.313482\pi$
$948$	−0.0442569	−	0.00440161i	−0.00143740	−	0.000142958i
$949$	2.07109	+	3.58724i	0.0672305	+	0.116447i
$950$	21.3642	+	1.34918i	0.693147	+	0.0437731i
$951$		−	66.3922i		−	2.15292i
$952$	−36.4420	+	28.6889i	−1.18109	+	0.929812i
$953$	11.5752	−	11.5752i	0.374958	−	0.374958i	−0.494321	−	0.869279i	$-0.664583\pi$
$953$	11.5752	−	11.5752i	0.374958	−	0.374958i	0.869279	+	0.494321i	$0.164583\pi$
$954$	5.29995	−	1.89350i	0.171592	−	0.0613042i
$955$	5.45494	+	0.394538i	0.176518	+	0.0127670i
$956$	−1.21705	−	1.48587i	−0.0393622	−	0.0480565i
$957$	−7.87748	−	29.3992i	−0.254643	−	0.950340i
$958$	−0.158993	−	1.95048i	−0.00513683	−	0.0630172i
$959$	−12.2276	−	27.1683i	−0.394851	−	0.877309i
$960$	29.0955	−	23.4135i	0.939052	−	0.755666i
$961$	−15.4917	+	26.8324i	−0.499732	+	0.865561i
$962$	−13.3143	+	9.20557i	−0.429271	+	0.296799i
$963$	8.66662	+	2.32221i	0.279278	+	0.0748323i
$964$	4.14190	−	10.9730i	0.133402	−	0.353415i
$965$	22.4078	−	4.30013i	0.721332	−	0.138426i
$966$	10.8927	−	2.69391i	0.350468	−	0.0866752i
$967$	−8.88144	+	8.88144i	−0.285608	+	0.285608i	−0.835341	−	0.549733i	$-0.814730\pi$
$967$	−8.88144	+	8.88144i	−0.285608	+	0.285608i	0.549733	+	0.835341i	$0.314730\pi$
$968$	−30.6248	−	8.79286i	−0.984320	−	0.282613i
$969$	−33.9236	+	19.5858i	−1.08978	+	0.629186i
$970$	−26.2571	−	25.7818i	−0.843066	−	0.827804i
$971$	12.6400	−	21.8931i	0.405637	−	0.702583i	−0.588759	−	0.808309i	$-0.700383\pi$
$971$	12.6400	−	21.8931i	0.405637	−	0.702583i	0.994395	+	0.105726i	$0.0337165\pi$
$972$	15.3563	−	21.3866i	0.492555	−	0.685975i
$973$	−14.9128	−	18.2646i	−0.478082	−	0.585538i
$974$	−32.5110	−	27.6102i	−1.04172	−	0.884688i
$975$	−53.8104	−	7.82481i	−1.72331	−	0.250594i
$976$	16.7778	−	19.0579i	0.537045	−	0.610028i
$977$	13.9166	−	51.9375i	0.445232	−	1.66163i	−0.270093	−	0.962834i	$-0.587054\pi$
$977$	13.9166	−	51.9375i	0.445232	−	1.66163i	0.715324	−	0.698792i	$-0.246279\pi$
$978$	−7.00091	+	14.7839i	−0.223864	+	0.472737i
$979$			33.5284i			1.07157i
$980$	−18.5569	+	25.2120i	−0.592778	+	0.805366i
$981$			26.1053i			0.833479i
$982$	−23.0166	−	10.8995i	−0.734490	−	0.347817i
$983$	−4.81108	+	17.9552i	−0.153450	+	0.572682i	0.845783	+	0.533526i	$0.179133\pi$
$983$	−4.81108	+	17.9552i	−0.153450	+	0.572682i	−0.999233	+	0.0391556i	$0.987533\pi$
$984$	−0.144707	+	8.13104i	−0.00461308	+	0.259208i
$985$	10.5542	−	30.4155i	0.336285	−	0.969119i
$986$	−17.5298	+	20.6413i	−0.558262	+	0.657353i
$987$	40.0138	+	49.0074i	1.27365	+	1.55992i
$988$	18.3960	−	25.6199i	0.585255	−	0.815077i
$989$	2.08423	−	3.61000i	0.0662747	−	0.114791i
$990$	0.185152	+	20.2707i	0.00588451	+	0.644244i
$991$	17.3770	−	10.0326i	0.551999	−	0.318696i	−0.197929	−	0.980216i	$-0.563422\pi$
$991$	17.3770	−	10.0326i	0.551999	−	0.318696i	0.749928	+	0.661520i	$0.230088\pi$
$992$	0.0850735	−	0.724273i	0.00270109	−	0.0229957i
$993$	−13.8014	+	13.8014i	−0.437974	+	0.437974i
$994$	1.76919	+	7.15366i	0.0561153	+	0.226900i
$995$	29.5153	+	20.0110i	0.935697	+	0.634392i
$996$	23.6191	+	8.91538i	0.748401	+	0.282495i
$997$	37.2396	+	9.97833i	1.17939	+	0.316017i	0.794685	−	0.607022i	$-0.207636\pi$
$997$	37.2396	+	9.97833i	1.17939	+	0.316017i	0.384706	+	0.923039i	$0.374303\pi$
$998$	29.6501	+	42.8838i	0.938556	+	1.35746i
$999$	−3.76484	+	6.52089i	−0.119114	+	0.206312i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.br.a.107.39	yes	176
5.3	odd	4	inner	280.2.br.a.163.28	yes	176
7.4	even	3	inner	280.2.br.a.67.10	✓	176
8.3	odd	2	inner	280.2.br.a.107.32	yes	176
35.18	odd	12	inner	280.2.br.a.123.32	yes	176
40.3	even	4	inner	280.2.br.a.163.10	yes	176
56.11	odd	6	inner	280.2.br.a.67.28	yes	176
280.123	even	12	inner	280.2.br.a.123.39	yes	176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.br.a.67.10	✓	176	7.4	even	3	inner
280.2.br.a.67.28	yes	176	56.11	odd	6	inner
280.2.br.a.107.32	yes	176	8.3	odd	2	inner
280.2.br.a.107.39	yes	176	1.1	even	1	trivial
280.2.br.a.123.32	yes	176	35.18	odd	12	inner
280.2.br.a.123.39	yes	176	280.123	even	12	inner
280.2.br.a.163.10	yes	176	40.3	even	4	inner
280.2.br.a.163.28	yes	176	5.3	odd	4	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.br (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.27815 + 0.605265i) q^{2} +(2.01658 + 0.540340i) q^{3} +(1.26731 + 1.54723i) q^{4} +(-2.01210 + 0.975426i) q^{5} +(2.25043 + 1.91120i) q^{6} +(2.04940 - 1.67330i) q^{7} +(0.683321 + 2.74464i) q^{8} +(1.17654 + 0.679275i) q^{9} +O(q^{10})\)	\(q+(1.27815 + 0.605265i) q^{2} +(2.01658 + 0.540340i) q^{3} +(1.26731 + 1.54723i) q^{4} +(-2.01210 + 0.975426i) q^{5} +(2.25043 + 1.91120i) q^{6} +(2.04940 - 1.67330i) q^{7} +(0.683321 + 2.74464i) q^{8} +(1.17654 + 0.679275i) q^{9} +(-3.16215 + 0.0288829i) q^{10} +(-2.35929 - 4.08641i) q^{11} +(1.71960 + 3.80489i) q^{12} +(-3.68344 - 3.68344i) q^{13} +(3.63223 - 0.898295i) q^{14} +(-4.58461 + 0.879803i) q^{15} +(-0.787853 + 3.92164i) q^{16} +(-1.60409 + 5.98656i) q^{17} +(1.09265 + 1.58033i) q^{18} +(2.62179 + 1.51369i) q^{19} +(-4.05916 - 1.87702i) q^{20} +(5.03693 - 2.26697i) q^{21} +(-0.542155 - 6.65101i) q^{22} +(1.38751 - 0.371783i) q^{23} +(-0.105073 + 5.90401i) q^{24} +(3.09709 - 3.92531i) q^{25} +(-2.47852 - 6.93744i) q^{26} +(-2.42317 - 2.42317i) q^{27} +(5.18622 + 1.05031i) q^{28} +3.08965 q^{29} +(-6.39232 - 1.65039i) q^{30} +(-0.111644 + 0.0644574i) q^{31} +(-3.38062 + 4.53557i) q^{32} +(-2.54964 - 9.51537i) q^{33} +(-5.67371 + 6.68079i) q^{34} +(-2.49142 + 5.36590i) q^{35} +(0.440043 + 2.68123i) q^{36} +(-0.568688 - 2.12237i) q^{37} +(2.43484 + 3.52159i) q^{38} +(-5.43764 - 9.41826i) q^{39} +(-4.05211 - 4.85597i) q^{40} +1.37721 q^{41} +(7.81005 + 0.151156i) q^{42} +(2.05196 - 2.05196i) q^{43} +(3.33267 - 8.82911i) q^{44} +(-3.02989 - 0.219143i) q^{45} +(1.99847 + 0.364620i) q^{46} +(2.96456 + 11.0639i) q^{47} +(-3.70779 + 7.48259i) q^{48} +(1.40010 - 6.85855i) q^{49} +(6.33438 - 3.14255i) q^{50} +(-6.46955 + 11.2056i) q^{51} +(1.03108 - 10.3672i) q^{52} +(0.758163 - 2.82950i) q^{53} +(-1.63050 - 4.56382i) q^{54} +(8.73311 + 5.92095i) q^{55} +(5.99303 + 4.48148i) q^{56} +(4.46913 + 4.46913i) q^{57} +(3.94902 + 1.87006i) q^{58} +(-11.1239 + 6.42236i) q^{59} +(-7.17139 - 5.97848i) q^{60} +(-5.49729 - 3.17386i) q^{61} +(-0.181710 + 0.0148121i) q^{62} +(3.54783 - 0.576599i) q^{63} +(-7.06615 + 3.75095i) q^{64} +(11.0044 + 3.81853i) q^{65} +(2.50051 - 13.7052i) q^{66} +(-1.95145 + 7.28290i) q^{67} +(-11.2955 + 5.10492i) q^{68} +2.99892 q^{69} +(-6.43218 + 5.35043i) q^{70} +1.96950i q^{71} +(-1.06041 + 3.69334i) q^{72} +(-0.768076 - 0.205805i) q^{73} +(0.557731 - 3.05690i) q^{74} +(8.36652 - 6.24220i) q^{75} +(0.980587 + 5.97482i) q^{76} +(-11.6729 - 4.42689i) q^{77} +(-1.24955 - 15.3291i) q^{78} +(-0.00532584 + 0.00922462i) q^{79} +(-2.24003 - 8.65923i) q^{80} +(-5.61500 - 9.72546i) q^{81} +(1.76027 + 0.833574i) q^{82} +(4.27536 - 4.27536i) q^{83} +(9.89088 + 4.92035i) q^{84} +(-2.61185 - 13.6102i) q^{85} +(3.86467 - 1.38072i) q^{86} +(6.23052 + 1.66946i) q^{87} +(9.60358 - 9.26773i) q^{88} +(-6.15365 - 3.55281i) q^{89} +(-3.74000 - 2.11398i) q^{90} +(-13.7124 - 1.38534i) q^{91} +(2.33364 + 1.67564i) q^{92} +(-0.259967 + 0.0696579i) q^{93} +(-2.90744 + 15.9356i) q^{94} +(-6.75179 - 0.488335i) q^{95} +(-9.26803 + 7.31964i) q^{96} +(8.22842 + 8.22842i) q^{97} +(5.94077 - 7.91879i) q^{98} -6.41042i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Introduction

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