LMFDB - Embedded newform 192.2.s.a.11.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [192,2,Mod(11,192)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(192, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([8, 5, 8]))

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

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

chi := DirichletCharacter("192.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 192 = 2^{6} \cdot 3 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	192.s (of order $16$, degree $8$, 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:	$1.53312771881$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			11.10
Character	$\chi$	$=$	192.11
Dual form			192.2.s.a.35.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.745539 - 1.20174i) q^{2} +(-1.61975 + 0.613518i) q^{3} +(-0.888342 + 1.79188i) q^{4} +(1.55377 - 1.03819i) q^{5} +(1.94488 + 1.48911i) q^{6} +(-0.159818 + 0.385836i) q^{7} +(2.81567 - 0.268367i) q^{8} +(2.24719 - 1.98749i) q^{9} +O(q^{10})$	\(q+(-0.745539 - 1.20174i) q^{2} +(-1.61975 + 0.613518i) q^{3} +(-0.888342 + 1.79188i) q^{4} +(1.55377 - 1.03819i) q^{5} +(1.94488 + 1.48911i) q^{6} +(-0.159818 + 0.385836i) q^{7} +(2.81567 - 0.268367i) q^{8} +(2.24719 - 1.98749i) q^{9} +(-2.40603 - 1.09320i) q^{10} +(0.211080 - 1.06117i) q^{11} +(0.339540 - 3.44742i) q^{12} +(2.60135 - 3.89319i) q^{13} +(0.582824 - 0.0955962i) q^{14} +(-1.87977 + 2.63488i) q^{15} +(-2.42170 - 3.18361i) q^{16} +(-1.09336 - 1.09336i) q^{17} +(-4.06381 - 1.21878i) q^{18} +(4.15676 - 6.22104i) q^{19} +(0.480047 + 3.70644i) q^{20} +(0.0221488 - 0.723010i) q^{21} +(-1.43262 + 0.537483i) q^{22} +(1.51848 + 3.66593i) q^{23} +(-4.39603 + 2.16215i) q^{24} +(-0.577071 + 1.39317i) q^{25} +(-6.61800 - 0.223607i) q^{26} +(-2.42053 + 4.59794i) q^{27} +(-0.549400 - 0.629130i) q^{28} +(7.27872 - 1.44783i) q^{29} +(4.56787 + 0.294576i) q^{30} -1.30933 q^{31} +(-2.02039 + 5.28375i) q^{32} +(0.309151 + 1.84834i) q^{33} +(-0.498788 + 2.12908i) q^{34} +(0.152252 + 0.765422i) q^{35} +(1.56509 + 5.79228i) q^{36} +(-5.71900 + 3.82132i) q^{37} +(-10.5751 - 0.357307i) q^{38} +(-1.82499 + 7.90198i) q^{39} +(4.09627 - 3.34019i) q^{40} +(4.35794 - 1.80512i) q^{41} +(-0.885380 + 0.512415i) q^{42} +(0.518320 - 2.60577i) q^{43} +(1.71399 + 1.32092i) q^{44} +(1.42821 - 5.42112i) q^{45} +(3.27340 - 4.55791i) q^{46} +(0.379125 - 0.379125i) q^{47} +(5.87575 + 3.67090i) q^{48} +(4.82642 + 4.82642i) q^{49} +(2.10446 - 0.345178i) q^{50} +(2.44177 + 1.10018i) q^{51} +(4.66526 + 8.11980i) q^{52} +(-9.70998 - 1.93143i) q^{53} +(7.33011 - 0.519111i) q^{54} +(-0.773734 - 1.86796i) q^{55} +(-0.346450 + 1.12928i) q^{56} +(-2.91620 + 12.6268i) q^{57} +(-7.16648 - 7.66769i) q^{58} +(6.01144 + 8.99675i) q^{59} +(-3.05153 - 5.70900i) q^{60} +(-1.92861 + 0.383624i) q^{61} +(0.976154 + 1.57346i) q^{62} +(0.407704 + 1.18468i) q^{63} +(7.85596 - 1.51127i) q^{64} -8.74982i q^{65} +(1.99073 - 1.74953i) q^{66} +(-1.89938 - 9.54885i) q^{67} +(2.93045 - 0.987898i) q^{68} +(-4.70868 - 5.00629i) q^{69} +(0.806326 - 0.753619i) q^{70} +(-12.7079 - 5.26377i) q^{71} +(5.79396 - 6.19919i) q^{72} +(-9.04685 + 3.74733i) q^{73} +(8.85596 + 4.02379i) q^{74} +(0.0799747 - 2.61064i) q^{75} +(7.45475 + 12.9748i) q^{76} +(0.375704 + 0.251037i) q^{77} +(10.8567 - 3.69808i) q^{78} +(-9.12078 + 9.12078i) q^{79} +(-7.06796 - 2.43240i) q^{80} +(1.09973 - 8.93256i) q^{81} +(-5.41829 - 3.89131i) q^{82} +(-6.43541 - 4.30000i) q^{83} +(1.27587 + 0.681968i) q^{84} +(-2.83395 - 0.563708i) q^{85} +(-3.51788 + 1.31982i) q^{86} +(-10.9014 + 6.81075i) q^{87} +(0.309548 - 3.04456i) q^{88} +(8.08539 + 3.34908i) q^{89} +(-7.57955 + 2.32533i) q^{90} +(1.08639 + 1.62590i) q^{91} +(-7.91785 - 0.535663i) q^{92} +(2.12078 - 0.803295i) q^{93} +(-0.738261 - 0.172956i) q^{94} -13.9816i q^{95} +(0.0308551 - 9.79791i) q^{96} +16.2446i q^{97} +(2.20180 - 9.39837i) q^{98} +(-1.63474 - 2.80418i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{5}{16}\right)$

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 $

$2$	−0.745539	−	1.20174i	−0.527176	−	0.849756i
$2$	−0.745539	−	1.20174i	−0.527176	−	0.849756i
$3$	−1.61975	+	0.613518i	−0.935164	+	0.354215i
$3$	−1.61975	+	0.613518i	−0.935164	+	0.354215i
$4$	−0.888342	+	1.79188i	−0.444171	+	0.895942i
$5$	1.55377	−	1.03819i	0.694866	−	0.464295i	−0.157310	−	0.987549i	$-0.550282\pi$
$5$	1.55377	−	1.03819i	0.694866	−	0.464295i	0.852176	+	0.523255i	$0.175282\pi$
$6$	1.94488	+	1.48911i	0.793992	+	0.607928i
$7$	−0.159818	+	0.385836i	−0.0604057	+	0.145832i	−0.951200	−	0.308574i	$-0.900148\pi$
$7$	−0.159818	+	0.385836i	−0.0604057	+	0.145832i	0.890795	+	0.454406i	$0.150148\pi$
$8$	2.81567	−	0.268367i	0.995489	−	0.0948822i
$9$	2.24719	−	1.98749i	0.749064	−	0.662498i
$10$	−2.40603	−	1.09320i	−0.760854	−	0.345702i
$11$	0.211080	−	1.06117i	0.0636432	−	0.319956i	−0.935829	−	0.352455i	$-0.885347\pi$
$11$	0.211080	−	1.06117i	0.0636432	−	0.319956i	0.999472	+	0.0324997i	$0.0103468\pi$
$12$	0.339540	−	3.44742i	0.0980166	−	0.995185i
$13$	2.60135	−	3.89319i	0.721484	−	1.07978i	−0.271605	−	0.962409i	$-0.587554\pi$
$13$	2.60135	−	3.89319i	0.721484	−	1.07978i	0.993088	−	0.117368i	$-0.0374457\pi$
$14$	0.582824	−	0.0955962i	0.155766	−	0.0255491i
$15$	−1.87977	+	2.63488i	−0.485354	+	0.680324i
$16$	−2.42170	−	3.18361i	−0.605424	−	0.795903i
$17$	−1.09336	−	1.09336i	−0.265179	−	0.265179i	0.561975	−	0.827154i	$-0.310042\pi$
$17$	−1.09336	−	1.09336i	−0.265179	−	0.265179i	−0.827154	+	0.561975i	$0.810042\pi$
$18$	−4.06381	−	1.21878i	−0.957850	−	0.287268i
$19$	4.15676	−	6.22104i	0.953627	−	1.42720i	0.0500649	−	0.998746i	$-0.484057\pi$
$19$	4.15676	−	6.22104i	0.953627	−	1.42720i	0.903562	−	0.428457i	$-0.140943\pi$
$20$	0.480047	+	3.70644i	0.107342	+	0.828786i
$21$	0.0221488	−	0.723010i	0.00483327	−	0.157774i
$22$	−1.43262	+	0.537483i	−0.305436	+	0.114592i
$23$	1.51848	+	3.66593i	0.316625	+	0.764400i	0.999429	+	0.0337981i	$0.0107603\pi$
$23$	1.51848	+	3.66593i	0.316625	+	0.764400i	−0.682804	+	0.730602i	$0.739240\pi$
$24$	−4.39603	+	2.16215i	−0.897336	+	0.441347i
$25$	−0.577071	+	1.39317i	−0.115414	+	0.278635i
$26$	−6.61800	−	0.223607i	−1.29790	−	0.0438529i
$27$	−2.42053	+	4.59794i	−0.465830	+	0.884874i
$28$	−0.549400	−	0.629130i	−0.103827	−	0.118894i
$29$	7.27872	−	1.44783i	1.35162	−	0.268855i	0.534428	−	0.845214i	$-0.320527\pi$
$29$	7.27872	−	1.44783i	1.35162	−	0.268855i	0.817196	+	0.576359i	$0.195527\pi$
$30$	4.56787	+	0.294576i	0.833976	+	0.0537819i
$31$	−1.30933			−0.235162			−0.117581	−	0.993063i	$-0.537514\pi$
$31$	−1.30933			−0.235162			−0.117581	+	0.993063i	$0.537514\pi$
$32$	−2.02039	+	5.28375i	−0.357158	+	0.934044i
$33$	0.309151	+	1.84834i	0.0538163	+	0.321755i
$34$	−0.498788	+	2.12908i	−0.0855415	+	0.365134i
$35$	0.152252	+	0.765422i	0.0257353	+	0.129380i
$36$	1.56509	+	5.79228i	0.260848	+	0.965380i
$37$	−5.71900	+	3.82132i	−0.940199	+	0.628221i	−0.928349	−	0.371709i	$-0.878772\pi$
$37$	−5.71900	+	3.82132i	−0.940199	+	0.628221i	−0.0118493	+	0.999930i	$0.503772\pi$
$38$	−10.5751	−	0.357307i	−1.71550	−	0.0579629i
$39$	−1.82499	+	7.90198i	−0.292233	+	1.26533i
$40$	4.09627	−	3.34019i	0.647678	−	0.528130i
$41$	4.35794	−	1.80512i	0.680595	−	0.281912i	−0.0154804	−	0.999880i	$-0.504928\pi$
$41$	4.35794	−	1.80512i	0.680595	−	0.281912i	0.696076	+	0.717968i	$0.254928\pi$
$42$	−0.885380	+	0.512415i	−0.136617	+	0.0790674i
$43$	0.518320	−	2.60577i	0.0790431	−	0.397377i	−0.920928	−	0.389734i	$-0.872567\pi$
$43$	0.518320	−	2.60577i	0.0790431	−	0.397377i	0.999971	−	0.00764307i	$-0.00243289\pi$
$44$	1.71399	+	1.32092i	0.258393	+	0.199136i
$45$	1.42821	−	5.42112i	0.212904	−	0.808134i
$46$	3.27340	−	4.55791i	0.482636	−	0.672027i
$47$	0.379125	−	0.379125i	0.0553011	−	0.0553011i	−0.678915	−	0.734217i	$-0.737550\pi$
$47$	0.379125	−	0.379125i	0.0553011	−	0.0553011i	0.734217	+	0.678915i	$0.237550\pi$
$48$	5.87575	+	3.67090i	0.848092	+	0.529849i
$49$	4.82642	+	4.82642i	0.689489	+	0.689489i
$50$	2.10446	−	0.345178i	0.297615	−	0.0488155i
$51$	2.44177	+	1.10018i	0.341916	+	0.154056i
$52$	4.66526	+	8.11980i	0.646955	+	1.12601i
$53$	−9.70998	−	1.93143i	−1.33377	−	0.265303i	−0.523832	−	0.851822i	$-0.675498\pi$
$53$	−9.70998	−	1.93143i	−1.33377	−	0.265303i	−0.809936	+	0.586519i	$0.800498\pi$
$54$	7.33011	−	0.519111i	0.997502	−	0.0706420i
$55$	−0.773734	−	1.86796i	−0.104330	−	0.251876i
$56$	−0.346450	+	1.12928i	−0.0462963	+	0.150906i
$57$	−2.91620	+	12.6268i	−0.386261	+	1.67246i
$58$	−7.16648	−	7.66769i	−0.941005	−	1.00682i
$59$	6.01144	+	8.99675i	0.782623	+	1.17128i	0.981539	+	0.191261i	$0.0612577\pi$
$59$	6.01144	+	8.99675i	0.782623	+	1.17128i	−0.198917	+	0.980016i	$0.563742\pi$
$60$	−3.05153	−	5.70900i	−0.393951	−	0.737029i
$61$	−1.92861	+	0.383624i	−0.246933	+	0.0491181i	−0.317005	−	0.948424i	$-0.602677\pi$
$61$	−1.92861	+	0.383624i	−0.246933	+	0.0491181i	0.0700718	+	0.997542i	$0.477677\pi$
$62$	0.976154	+	1.57346i	0.123972	+	0.199830i
$63$	0.407704	+	1.18468i	0.0513659	+	0.149256i
$64$	7.85596	−	1.51127i	0.981995	−	0.188908i
$65$		−	8.74982i		−	1.08528i
$66$	1.99073	−	1.74953i	0.245042	−	0.215352i
$67$	−1.89938	−	9.54885i	−0.232047	−	1.16658i	−0.904512	−	0.426449i	$-0.859764\pi$
$67$	−1.89938	−	9.54885i	−0.232047	−	1.16658i	0.672465	−	0.740129i	$-0.265236\pi$
$68$	2.93045	−	0.987898i	0.355370	−	0.119800i
$69$	−4.70868	−	5.00629i	−0.566858	−	0.602686i
$70$	0.806326	−	0.753619i	0.0963743	−	0.0900747i
$71$	−12.7079	−	5.26377i	−1.50814	−	0.624694i	−0.532971	−	0.846134i	$-0.678924\pi$
$71$	−12.7079	−	5.26377i	−1.50814	−	0.624694i	−0.975174	+	0.221440i	$0.928924\pi$
$72$	5.79396	−	6.19919i	0.682825	−	0.730582i
$73$	−9.04685	+	3.74733i	−1.05885	+	0.438592i	−0.843044	−	0.537844i	$-0.819239\pi$
$73$	−9.04685	+	3.74733i	−1.05885	+	0.438592i	−0.215809	+	0.976435i	$0.569239\pi$
$74$	8.85596	+	4.02379i	1.02948	+	0.467757i
$75$	0.0799747	−	2.61064i	0.00923469	−	0.301450i
$76$	7.45475	+	12.9748i	0.855118	+	1.48832i
$77$	0.375704	+	0.251037i	0.0428155	+	0.0286084i
$78$	10.8567	−	3.69808i	1.22928	−	0.418725i
$79$	−9.12078	+	9.12078i	−1.02617	+	1.02617i	−0.0265198	+	0.999648i	$0.508443\pi$
$79$	−9.12078	+	9.12078i	−1.02617	+	1.02617i	−0.999648	+	0.0265198i	$0.991557\pi$
$80$	−7.06796	−	2.43240i	−0.790222	−	0.271951i
$81$	1.09973	−	8.93256i	0.122192	−	0.992506i
$82$	−5.41829	−	3.89131i	−0.598350	−	0.429723i
$83$	−6.43541	−	4.30000i	−0.706378	−	0.471986i	0.149768	−	0.988721i	$-0.452147\pi$
$83$	−6.43541	−	4.30000i	−0.706378	−	0.471986i	−0.856146	+	0.516735i	$0.827147\pi$
$84$	1.27587	+	0.681968i	0.139209	+	0.0744088i
$85$	−2.83395	−	0.563708i	−0.307385	−	0.0611427i
$86$	−3.51788	+	1.31982i	−0.379343	+	0.142320i
$87$	−10.9014	+	6.81075i	−1.16876	+	0.730189i
$88$	0.309548	−	3.04456i	0.0329979	−	0.324551i
$89$	8.08539	+	3.34908i	0.857050	+	0.355002i	0.767553	−	0.640986i	$-0.221474\pi$
$89$	8.08539	+	3.34908i	0.857050	+	0.355002i	0.0894967	+	0.995987i	$0.471474\pi$
$90$	−7.57955	+	2.32533i	−0.798955	+	0.245112i
$91$	1.08639	+	1.62590i	0.113885	+	0.170440i
$92$	−7.91785	−	0.535663i	−0.825493	−	0.0558467i
$93$	2.12078	−	0.803295i	0.219915	−	0.0832978i
$94$	−0.738261	−	0.172956i	−0.0761459	−	0.0178390i
$95$		−	13.9816i		−	1.43448i
$96$	0.0308551	−	9.79791i	0.00314914	−	0.999995i
$97$			16.2446i			1.64939i	0.565575	+	0.824697i	$0.308654\pi$
$97$			16.2446i			1.64939i	−0.565575	+	0.824697i	$0.691346\pi$
$98$	2.20180	−	9.39837i	0.222415	−	0.949379i
$99$	−1.63474	−	2.80418i	−0.164297	−	0.281831i
$100$	−1.98377	−	2.27166i	−0.198377	−	0.227166i
$101$	−2.68254	−	4.01471i	−0.266923	−	0.399478i	0.673661	−	0.739041i	$-0.264721\pi$
$101$	−2.68254	−	4.01471i	−0.266923	−	0.399478i	−0.940583	+	0.339562i	$0.889721\pi$
$102$	−0.498314	−	3.75459i	−0.0493404	−	0.371760i
$103$	4.85601	+	2.01142i	0.478477	+	0.198192i	0.608869	−	0.793271i	$-0.291624\pi$
$103$	4.85601	+	2.01142i	0.478477	+	0.198192i	−0.130392	+	0.991463i	$0.541624\pi$
$104$	6.27972	−	11.6600i	0.615777	−	1.14336i
$105$	−0.716210	−	1.14638i	−0.0698950	−	0.111876i
$106$	4.91810	+	13.1088i	0.477688	+	1.27324i
$107$	19.9047	+	3.95929i	1.92426	+	0.382759i	1.00000		0.000993314i	$0.000316182\pi$
$107$	19.9047	+	3.95929i	1.92426	+	0.382759i	0.924259	+	0.381766i	$0.124684\pi$
$108$	−6.08872	−	8.42185i	−0.585887	−	0.810392i
$109$	−9.53799	−	6.37308i	−0.913573	−	0.610430i	0.00743521	−	0.999972i	$-0.497633\pi$
$109$	−9.53799	−	6.37308i	−0.913573	−	0.610430i	−0.921009	+	0.389542i	$0.872633\pi$
$110$	−1.66795	+	2.32246i	−0.159032	+	0.221438i
$111$	6.91892	−	9.69830i	0.656715	−	0.920522i
$112$	1.61538	−	0.425578i	0.152639	−	0.0402133i
$113$	4.21231	−	4.21231i	0.396261	−	0.396261i	−0.480651	−	0.876912i	$-0.659600\pi$
$113$	4.21231	−	4.21231i	0.396261	−	0.396261i	0.876912	+	0.480651i	$0.159600\pi$
$114$	17.3482	−	5.90925i	1.62481	−	0.553452i
$115$	6.16531	+	4.11953i	0.574918	+	0.384148i
$116$	−3.87165	+	14.3288i	−0.359474	+	1.33039i
$117$	−1.89197	−	13.9189i	−0.174913	−	1.28680i
$118$	6.32996	−	13.9316i	0.582720	−	1.28251i
$119$	0.596597	−	0.247119i	0.0546900	−	0.0226533i
$120$	−4.58568	+	7.92342i	−0.418613	+	0.723306i
$121$	9.08114	+	3.76153i	0.825558	+	0.341957i
$122$	1.89887	+	2.03167i	0.171916	+	0.183939i
$123$	−5.95130	+	5.59751i	−0.536611	+	0.504711i
$124$	1.16313	−	2.34616i	0.104452	−	0.210691i
$125$	2.37258	+	11.9277i	0.212210	+	1.06685i
$126$	1.11972	−	1.37318i	0.0997526	−	0.122333i
$127$		−	8.79200i		−	0.780164i	−0.920780	−	0.390082i	$-0.872447\pi$
$127$		−	8.79200i		−	0.780164i	0.920780	−	0.390082i	$-0.127553\pi$
$128$	−7.67307	−	8.31408i	−0.678210	−	0.734868i
$129$	0.759139	+	4.53870i	0.0668385	+	0.399611i
$130$	−10.5150	+	6.52333i	−0.922225	+	0.572134i
$131$	0.371117	−	0.0738198i	0.0324246	−	0.00644966i	−0.178851	−	0.983876i	$-0.557238\pi$
$131$	0.371117	−	0.0738198i	0.0324246	−	0.00644966i	0.211276	+	0.977426i	$0.432238\pi$
$132$	−3.58664	−	1.08799i	−0.312177	−	0.0946977i
$133$	1.73597	+	2.59806i	0.150528	+	0.225281i
$134$	−10.0591	+	9.40160i	−0.868977	+	0.812175i
$135$	1.01262	+	9.65711i	0.0871525	+	0.831151i
$136$	−3.37196	−	2.78512i	−0.289143	−	0.238822i
$137$	−0.649896	−	1.56899i	−0.0555244	−	0.134048i	0.893683	−	0.448699i	$-0.148112\pi$
$137$	−0.649896	−	1.56899i	−0.0555244	−	0.134048i	−0.949207	+	0.314651i	$0.898112\pi$
$138$	−2.50573	+	9.39097i	−0.213302	+	0.799413i
$139$	11.1346	+	2.21480i	0.944422	+	0.187857i	0.643201	−	0.765697i	$-0.277606\pi$
$139$	11.1346	+	2.21480i	0.944422	+	0.187857i	0.301221	+	0.953554i	$0.402606\pi$
$140$	−1.50680	−	0.407139i	−0.127348	−	0.0344095i
$141$	−0.381488	+	0.846689i	−0.0321271	+	0.0713041i
$142$	3.14855	+	19.1958i	0.264220	+	1.61088i
$143$	−3.58226	−	3.58226i	−0.299563	−	0.299563i
$144$	−11.7694	−	2.34107i	−0.980785	−	0.195089i
$145$	9.80631	−	9.80631i	0.814370	−	0.814370i
$146$	11.2481	+	8.07815i	0.930898	+	0.668553i
$147$	−10.7787	−	4.85650i	−0.889012	−	0.400558i
$148$	−1.76693	−	13.6424i	−0.145240	−	1.12140i
$149$	−3.78898	+	19.0485i	−0.310405	+	1.56051i	0.439053	+	0.898461i	$0.355314\pi$
$149$	−3.78898	+	19.0485i	−0.310405	+	1.56051i	−0.749458	+	0.662052i	$0.769686\pi$
$150$	−3.19692	+	1.85022i	−0.261028	+	0.151070i
$151$	7.68408	−	3.18285i	0.625322	−	0.259017i	−0.0474423	−	0.998874i	$-0.515107\pi$
$151$	7.68408	−	3.18285i	0.625322	−	0.259017i	0.672764	+	0.739857i	$0.265107\pi$
$152$	10.0345	−	18.6319i	0.813908	−	1.51125i
$153$	−4.63004	−	0.283942i	−0.374317	−	0.0229553i
$154$	0.0215787	−	0.638656i	0.00173886	−	0.0514643i
$155$	−2.03439	+	1.35933i	−0.163406	+	0.109184i
$156$	−12.5382	−	10.2898i	−1.00386	−	0.823846i
$157$	3.93877	+	19.8015i	0.314348	+	1.58033i	0.738187	+	0.674596i	$0.235682\pi$
$157$	3.93877	+	19.8015i	0.314348	+	1.58033i	−0.423839	+	0.905737i	$0.639318\pi$
$158$	17.7607	+	4.16087i	1.41296	+	0.331021i
$159$	16.9127	−	2.82880i	1.34127	−	0.224339i
$160$	2.34634	+	10.3073i	0.185494	+	0.814862i
$161$	−1.65713			−0.130600
$162$	−11.5545	+	5.33799i	−0.907805	+	0.419392i
$163$	−15.2390	+	3.03122i	−1.19361	+	0.237424i	−0.751620	−	0.659597i	$-0.770727\pi$
$163$	−15.2390	+	3.03122i	−1.19361	+	0.237424i	−0.441989	+	0.897020i	$0.645727\pi$
$164$	−0.636778	+	9.41248i	−0.0497240	+	0.734991i
$165$	2.39928	+	2.55093i	0.186784	+	0.198590i
$166$	−0.369620	+	10.9395i	−0.0286880	+	0.849069i
$167$	−2.30683	+	5.56917i	−0.178508	+	0.430955i	−0.987654	−	0.156652i	$-0.949930\pi$
$167$	−2.30683	+	5.56917i	−0.178508	+	0.430955i	0.809146	+	0.587607i	$0.199930\pi$
$168$	−0.131668	−	2.04170i	−0.0101584	−	0.157520i
$169$	−3.41505	−	8.24465i	−0.262696	−	0.634204i
$170$	1.43539	+	3.82593i	0.110090	+	0.293435i
$171$	−3.02324	−	22.2414i	−0.231193	−	1.70084i
$172$	4.20880	+	3.24359i	0.320918	+	0.247321i
$173$	−0.755889	+	1.13127i	−0.0574692	+	0.0860087i	−0.859091	−	0.511822i	$-0.828971\pi$
$173$	−0.755889	+	1.13127i	−0.0574692	+	0.0860087i	0.801622	+	0.597831i	$0.203971\pi$
$174$	16.3122	+	8.02299i	1.23662	+	0.608221i
$175$	−0.445309	−	0.445309i	−0.0336622	−	0.0336622i
$176$	−3.88954	+	1.89784i	−0.293185	+	0.143055i
$177$	−15.2567	−	10.8844i	−1.14676	−	0.818120i
$178$	−2.00327	−	12.2134i	−0.150151	−	0.915431i
$179$	2.13257	−	3.19161i	0.159395	−	0.238552i	−0.743172	−	0.669100i	$-0.766680\pi$
$179$	2.13257	−	3.19161i	0.159395	−	0.238552i	0.902568	+	0.430548i	$0.141680\pi$
$180$	8.44529	+	7.37499i	0.629475	+	0.549699i
$181$	1.53549	−	7.71944i	0.114132	−	0.573781i	−0.880822	−	0.473448i	$-0.843009\pi$
$181$	1.53549	−	7.71944i	0.114132	−	0.573781i	0.994954	−	0.100333i	$-0.0319909\pi$
$182$	1.14395	−	2.51772i	0.0847955	−	0.186626i
$183$	2.88851	−	1.80461i	0.213525	−	0.133401i
$184$	5.25935	+	9.91453i	0.387724	+	0.730909i
$185$	−4.91873	+	11.8749i	−0.361633	+	0.873058i
$186$	−2.54648	−	1.94973i	−0.186717	−	0.142961i
$187$	−1.39103	+	0.929458i	−0.101722	+	0.0679687i
$188$	0.342556	+	1.01614i	0.0249834	+	0.0741097i
$189$	−1.38721	−	1.66876i	−0.100904	−	0.121385i
$190$	−16.8022	+	10.4238i	−1.21896	+	0.756223i
$191$	11.1504			0.806817			0.403409	−	0.915020i	$-0.367825\pi$
$191$	11.1504			0.806817			0.403409	+	0.915020i	$0.367825\pi$
$192$	−11.7975	+	7.26765i	−0.851412	+	0.524497i
$193$	−3.53852			−0.254708			−0.127354	−	0.991857i	$-0.540648\pi$
$193$	−3.53852			−0.254708			−0.127354	+	0.991857i	$0.540648\pi$
$194$	19.5218	−	12.1110i	1.40158	−	0.869521i
$195$	5.36817	+	14.1725i	0.384423	+	1.01492i
$196$	−12.9359	+	4.36087i	−0.923993	+	0.311491i
$197$	−19.4717	+	13.0105i	−1.38730	+	0.926963i	−0.387311	+	0.921949i	$0.626596\pi$
$197$	−19.4717	+	13.0105i	−1.38730	+	0.926963i	−0.999987	+	0.00501414i	$0.998404\pi$
$198$	−2.15112	+	4.05515i	−0.152874	+	0.288187i
$199$	−1.16494	+	2.81241i	−0.0825803	+	0.199367i	−0.959776	−	0.280766i	$-0.909411\pi$
$199$	−1.16494	+	2.81241i	−0.0825803	+	0.199367i	0.877196	+	0.480133i	$0.159411\pi$
$200$	−1.25096	+	4.07758i	−0.0884561	+	0.288328i
$201$	8.93493	+	14.3015i	0.630221	+	1.00875i
$202$	−2.82468	+	6.21683i	−0.198744	+	0.437415i
$203$	−0.604650	+	3.03978i	−0.0424381	+	0.213351i
$204$	−4.14052	+	3.39804i	−0.289894	+	0.237910i
$205$	4.89716	−	7.32912i	0.342032	−	0.511888i
$206$	−1.20314	−	7.33524i	−0.0838270	−	0.511070i
$207$	10.6983	+	5.22008i	0.743586	+	0.362821i
$208$	−18.6941	+	1.14645i	−1.29620	+	0.0794921i
$209$	−5.72419	−	5.72419i	−0.395950	−	0.395950i
$210$	−0.843688	+	1.71537i	−0.0582200	+	0.118372i
$211$	6.66680	−	9.97757i	0.458961	−	0.686884i	−0.527744	−	0.849403i	$-0.676962\pi$
$211$	6.66680	−	9.97757i	0.458961	−	0.686884i	0.986705	+	0.162519i	$0.0519620\pi$
$212$	12.0867	−	15.6834i	0.830117	−	1.07714i
$213$	23.8130	+	0.729491i	1.63164	+	0.0499839i
$214$	−10.0817	−	26.8720i	−0.689171	−	1.83693i
$215$	−1.89995	−	4.58688i	−0.129575	−	0.312823i
$216$	−5.58146	+	13.5959i	−0.379770	+	0.925081i
$217$	0.209254	−	0.505185i	0.0142051	−	0.0342942i
$218$	−0.547817	+	16.2135i	−0.0371029	+	1.09812i
$219$	12.3546	−	11.6202i	0.834846	−	0.785217i
$220$	4.03451	+	0.272945i	0.272006	+	0.0184019i
$221$	−7.10088	+	1.41245i	−0.477657	+	0.0950118i
$222$	−16.8131	−	1.08425i	−1.12842	−	0.0727704i
$223$	13.6037			0.910969			0.455484	−	0.890244i	$-0.349466\pi$
$223$	13.6037			0.910969			0.455484	+	0.890244i	$0.349466\pi$
$224$	−1.71576	−	1.62398i	−0.114639	−	0.108507i
$225$	1.47213	+	4.27765i	0.0981423	+	0.285177i
$226$	−8.20253	−	1.92164i	−0.545624	−	0.127826i
$227$	−0.238245	−	1.19774i	−0.0158129	−	0.0794968i	0.972073	−	0.234678i	$-0.0754037\pi$
$227$	−0.238245	−	1.19774i	−0.0158129	−	0.0794968i	−0.987886	+	0.155182i	$0.950404\pi$
$228$	−20.0351	−	16.4424i	−1.32686	−	1.08892i
$229$	−13.9930	+	9.34985i	−0.924686	+	0.617856i	−0.924103	−	0.382144i	$-0.875186\pi$
$229$	−13.9930	+	9.34985i	−0.924686	+	0.617856i	−0.000583505		1.00000i	$0.500186\pi$
$230$	0.354107	−	10.4804i	0.0233491	−	0.691054i
$231$	−0.762563	−	0.176117i	−0.0501730	−	0.0115876i
$232$	20.1059	−	6.02997i	1.32002	−	0.395887i
$233$	−13.2823	+	5.50170i	−0.870150	+	0.360428i	−0.772669	−	0.634809i	$-0.781079\pi$
$233$	−13.2823	+	5.50170i	−0.870150	+	0.360428i	−0.0974815	+	0.995237i	$0.531079\pi$
$234$	−15.3163	+	12.6507i	−1.00126	+	0.827005i
$235$	0.195467	−	0.982678i	0.0127509	−	0.0641029i
$236$	−21.4614	+	2.77961i	−1.39702	+	0.180937i
$237$	9.17763	−	20.3692i	0.596151	−	1.32312i
$238$	−0.741758	−	0.532716i	−0.0480810	−	0.0345308i
$239$	−5.35176	+	5.35176i	−0.346177	+	0.346177i	−0.858683	−	0.512507i	$-0.828717\pi$
$239$	−5.35176	+	5.35176i	−0.346177	+	0.346177i	0.512507	+	0.858683i	$0.328717\pi$
$240$	12.9407	−	0.396441i	0.835316	−	0.0255901i
$241$	−4.50040	−	4.50040i	−0.289896	−	0.289896i	0.547143	−	0.837039i	$-0.315715\pi$
$241$	−4.50040	−	4.50040i	−0.289896	−	0.289896i	−0.837039	+	0.547143i	$0.815715\pi$
$242$	−2.24998	−	13.7175i	−0.144634	−	0.881795i
$243$	3.69900	+	15.1432i	0.237291	+	0.971439i
$244$	1.02585	−	3.79663i	0.0656736	−	0.243055i
$245$	12.5099	+	2.48837i	0.799228	+	0.158976i
$246$	11.1637	+	2.97873i	0.711769	+	0.189917i
$247$	−13.4065	−	32.3661i	−0.853035	−	2.05941i
$248$	−3.68662	+	0.351380i	−0.234101	+	0.0223127i
$249$	13.0619	+	3.01669i	0.827764	+	0.191175i
$250$	12.5652	−	11.7438i	0.794691	−	0.742744i
$251$	−6.10665	−	9.13925i	−0.385448	−	0.576864i	0.587115	−	0.809504i	$-0.300264\pi$
$251$	−6.10665	−	9.13925i	−0.385448	−	0.576864i	−0.972563	+	0.232640i	$0.925264\pi$
$252$	−2.48500	−	0.321847i	−0.156540	−	0.0202744i
$253$	4.21071	−	0.837563i	0.264725	−	0.0526571i
$254$	−10.5657	+	6.55478i	−0.662949	+	0.411284i
$255$	4.93614	−	0.825614i	0.309113	−	0.0517019i
$256$	−4.27076	+	15.4195i	−0.266923	+	0.963718i
$257$		−	12.7130i		−	0.793015i	−0.918032	−	0.396507i	$-0.870222\pi$
$257$		−	12.7130i		−	0.793015i	0.918032	−	0.396507i	$-0.129778\pi$
$258$	4.88836	−	4.29607i	0.304336	−	0.267461i
$259$	−0.560398	−	2.81731i	−0.0348215	−	0.175059i
$260$	15.6787	+	7.77283i	0.972349	+	0.482050i
$261$	13.4791	−	17.7200i	0.834337	−	1.09684i
$262$	−0.365394	−	0.390949i	−0.0225741	−	0.0241529i
$263$	0.751076	+	0.311106i	0.0463133	+	0.0191836i	0.405720	−	0.913997i	$-0.367021\pi$
$263$	0.751076	+	0.311106i	0.0463133	+	0.0191836i	−0.359407	+	0.933181i	$0.617021\pi$
$264$	1.36650	+	5.12134i	0.0841023	+	0.315197i
$265$	−17.0923	+	7.07984i	−1.04997	+	0.434911i
$266$	1.82795	−	4.02314i	0.112079	−	0.246674i
$267$	−15.1510	−	0.464140i	−0.927229	−	0.0284049i
$268$	18.7977	+	5.07917i	1.14825	+	0.310259i
$269$	10.4048	+	6.95224i	0.634389	+	0.423885i	0.830750	−	0.556646i	$-0.187912\pi$
$269$	10.4048	+	6.95224i	0.634389	+	0.423885i	−0.196360	+	0.980532i	$0.562912\pi$
$270$	10.8504	−	8.41666i	0.660331	−	0.512221i
$271$	−3.28666	+	3.28666i	−0.199650	+	0.199650i	−0.799850	−	0.600200i	$-0.795088\pi$
$271$	−3.28666	+	3.28666i	−0.199650	+	0.199650i	0.600200	+	0.799850i	$0.295088\pi$
$272$	−0.833047	+	6.12863i	−0.0505109	+	0.371603i
$273$	−2.75720	−	1.96703i	−0.166873	−	0.119050i
$274$	−1.40099	+	1.95075i	−0.0846367	+	0.117849i
$275$	1.35659	+	0.906444i	0.0818054	+	0.0546606i
$276$	13.1536	−	3.99011i	0.791754	−	0.240176i
$277$	20.0739	+	3.99294i	1.20612	+	0.239913i	0.756914	−	0.653514i	$-0.226706\pi$
$277$	20.0739	+	3.99294i	1.20612	+	0.239913i	0.449209	+	0.893427i	$0.351706\pi$
$278$	−5.63965	−	15.0321i	−0.338244	−	0.901563i
$279$	−2.94230	+	2.60228i	−0.176151	+	0.155794i
$280$	0.634105	+	2.11431i	0.0378950	+	0.126354i
$281$	7.08026	+	2.93274i	0.422373	+	0.174953i	0.583738	−	0.811942i	$-0.301590\pi$
$281$	7.08026	+	2.93274i	0.422373	+	0.174953i	−0.161365	+	0.986895i	$0.551590\pi$
$282$	1.30191	−	0.172791i	0.0775277	−	0.0102896i
$283$	15.8175	+	23.6725i	0.940250	+	1.40718i	0.913183	+	0.407550i	$0.133617\pi$
$283$	15.8175	+	23.6725i	0.940250	+	1.40718i	0.0270673	+	0.999634i	$0.491383\pi$
$284$	20.7210	−	18.0950i	1.22956	−	1.07374i
$285$	8.57795	+	22.6467i	0.508114	+	1.34147i
$286$	−1.63422	+	6.97564i	−0.0966332	+	0.412478i
$287$			1.96994i			0.116282i
$288$	5.96122	+	15.8891i	0.351268	+	0.936275i
$289$		−	14.6091i		−	0.859360i
$290$	−19.0956	−	4.47361i	−1.12133	−	0.262700i
$291$	−9.96639	−	26.3123i	−0.584240	−	1.54245i
$292$	1.32192	−	19.5398i	0.0773594	−	1.14348i
$293$	−12.3196	−	18.4377i	−0.719721	−	1.07714i	−0.993331	−	0.115298i	$-0.963218\pi$
$293$	−12.3196	−	18.4377i	−0.719721	−	1.07714i	0.273609	−	0.961841i	$-0.411782\pi$
$294$	2.19971	+	16.5739i	0.128289	+	0.966608i
$295$	18.6808	+	7.73782i	1.08764	+	0.450513i
$296$	−15.0773	+	12.2943i	−0.876350	+	0.714594i
$297$	4.36829	+	3.53913i	0.253474	+	0.205361i
$298$	25.7161	−	9.64805i	1.48969	−	0.558896i
$299$	18.2223	+	3.62463i	1.05382	+	0.209618i
$300$	4.60691	+	2.46244i	0.265980	+	0.142169i
$301$	0.922563	+	0.616437i	0.0531757	+	0.0355308i
$302$	−9.55373	−	6.86130i	−0.549755	−	0.394823i
$303$	6.80815	+	4.85704i	0.391118	+	0.279030i
$304$	−29.8718	+	1.83195i	−1.71326	+	0.105069i
$305$	−2.59833	+	2.59833i	−0.148780	+	0.148780i
$306$	3.11065	+	5.77578i	0.177824	+	0.330179i
$307$	7.83435	+	5.23474i	0.447130	+	0.298763i	0.758676	−	0.651469i	$-0.225847\pi$
$307$	7.83435	+	5.23474i	0.447130	+	0.298763i	−0.311546	+	0.950231i	$0.600847\pi$
$308$	−0.783584	+	0.450211i	−0.0446488	+	0.0256532i
$309$	−9.09957	−	0.278758i	−0.517657	−	0.0158580i
$310$	3.15028	+	1.43136i	0.178924	+	0.0812958i
$311$	−18.4427	+	7.63923i	−1.04579	+	0.433181i	−0.838387	−	0.545075i	$-0.816501\pi$
$311$	−18.4427	+	7.63923i	−1.04579	+	0.433181i	−0.207403	+	0.978256i	$0.566501\pi$
$312$	−3.01794	+	22.7391i	−0.170857	+	1.28735i
$313$	−1.38125	−	0.572132i	−0.0780727	−	0.0323388i	0.343305	−	0.939224i	$-0.388453\pi$
$313$	−1.38125	−	0.572132i	−0.0780727	−	0.0323388i	−0.421378	+	0.906885i	$0.638453\pi$
$314$	20.8597	−	19.4962i	1.17718	−	1.10023i
$315$	1.86341	+	1.41745i	0.104991	+	0.0798642i
$316$	−8.24101	−	24.4458i	−0.463593	−	1.37518i
$317$	−4.76553	−	23.9580i	−0.267659	−	1.34561i	−0.847462	−	0.530856i	$-0.821870\pi$
$317$	−4.76553	−	23.9580i	−0.267659	−	1.34561i	0.579803	−	0.814757i	$-0.303130\pi$
$318$	−16.0086	−	18.2157i	−0.897717	−	1.02148i
$319$		−	8.02959i		−	0.449571i
$320$	10.6373	−	10.5042i	0.594646	−	0.587201i
$321$	−34.6697	+	5.79883i	−1.93508	+	0.323659i
$322$	1.23546	+	1.99143i	0.0688492	+	0.110978i
$323$	−11.3467	+	2.25700i	−0.631346	+	0.125583i
$324$	15.0292	+	9.90576i	0.834954	+	0.550320i
$325$	3.92273	+	5.87077i	0.217594	+	0.325652i
$326$	15.0040	+	16.0533i	0.830994	+	0.889113i
$327$	19.3592	+	4.47108i	1.07056	+	0.247251i
$328$	11.7861	−	6.25213i	0.650776	−	0.345216i
$329$	0.0856889	+	0.206871i	0.00472418	+	0.0114052i
$330$	1.27679	−	4.78513i	0.0702847	−	0.263413i
$331$	−29.9631	−	5.96002i	−1.64692	−	0.327593i	−0.717483	−	0.696576i	$-0.754706\pi$
$331$	−29.9631	−	5.96002i	−1.64692	−	0.327593i	−0.929436	+	0.368983i	$0.879706\pi$
$332$	13.4219	−	7.71163i	0.736625	−	0.423231i
$333$	−5.25685	+	19.9537i	−0.288073	+	1.09346i
$334$	8.41251	−	1.37984i	0.460312	−	0.0755014i
$335$	−12.8648	−	12.8648i	−0.702877	−	0.702877i
$336$	−2.35542	+	1.68040i	−0.128499	+	0.0916732i
$337$	7.51787	−	7.51787i	0.409524	−	0.409524i	−0.472048	−	0.881573i	$-0.656485\pi$
$337$	7.51787	−	7.51787i	0.409524	−	0.409524i	0.881573	+	0.472048i	$0.156485\pi$
$338$	−7.36185	+	10.2507i	−0.400432	+	0.557565i
$339$	−4.23857	+	9.40722i	−0.230207	+	0.510930i
$340$	3.52762	−	4.57735i	0.191312	−	0.248241i
$341$	−0.276373	+	1.38942i	−0.0149664	+	0.0752414i
$342$	−24.4744	+	20.2150i	−1.32342	+	1.09310i
$343$	−5.33441	+	2.20958i	−0.288031	+	0.119306i
$344$	0.760113	−	7.47609i	0.0409826	−	0.403084i
$345$	−12.5137	−	2.89008i	−0.673714	−	0.155597i
$346$	1.92303	+	0.0649747i	0.103383	+	0.00349306i
$347$	−9.43352	+	6.30328i	−0.506418	+	0.338378i	−0.782391	−	0.622788i	$-0.786000\pi$
$347$	−9.43352	+	6.30328i	−0.506418	+	0.338378i	0.275973	+	0.961165i	$0.411000\pi$
$348$	−2.51986	−	25.5844i	−0.135079	−	1.37147i
$349$	−1.09053	−	5.48249i	−0.0583750	−	0.293471i	0.940559	−	0.339630i	$-0.110302\pi$
$349$	−1.09053	−	5.48249i	−0.0583750	−	0.293471i	−0.998934	+	0.0461592i	$0.985302\pi$
$350$	−0.203149	+	0.867140i	−0.0108588	+	0.0463506i
$351$	11.6040	+	21.3844i	0.619377	+	1.14142i
$352$	5.18051	+	3.25928i	0.276122	+	0.173720i
$353$	11.6534			0.620249			0.310125	−	0.950696i	$-0.399629\pi$
$353$	11.6534			0.620249			0.310125	+	0.950696i	$0.399629\pi$
$354$	−1.70568	+	26.4493i	−0.0906557	+	1.40576i
$355$	−25.2099	+	5.01455i	−1.33800	+	0.266145i
$356$	−13.1838	+	11.5130i	−0.698737	+	0.610185i
$357$	−0.814727	+	0.766294i	−0.0431199	+	0.0405566i
$358$	−5.42539	−	0.183311i	−0.286741	−	0.00968829i
$359$	−3.22570	+	7.78753i	−0.170246	+	0.411010i	−0.985857	−	0.167591i	$-0.946401\pi$
$359$	−3.22570	+	7.78753i	−0.170246	+	0.411010i	0.815611	+	0.578601i	$0.196401\pi$
$360$	2.56650	−	15.6474i	0.135266	−	0.824689i
$361$	−14.1516	−	34.1650i	−0.744822	−	1.79816i
$362$	−10.4215	+	3.90989i	−0.547742	+	0.205499i
$363$	−17.0170	−	0.521301i	−0.893159	−	0.0273612i
$364$	−3.87850	+	0.502332i	−0.203289	+	0.0263293i
$365$	−10.1662	+	15.2149i	−0.532126	+	0.796383i
$366$	−4.32217	−	2.12582i	−0.225923	−	0.111118i
$367$	2.55760	+	2.55760i	0.133506	+	0.133506i	0.770702	−	0.637196i	$-0.219906\pi$
$367$	2.55760	+	2.55760i	0.133506	+	0.133506i	−0.637196	+	0.770702i	$0.719906\pi$
$368$	7.99361	−	13.7120i	0.416696	−	0.714789i
$369$	6.20545	−	12.7178i	0.323043	−	0.662063i
$370$	17.9376	−	2.94216i	0.932531	−	0.152956i
$371$	2.29705	−	3.43778i	0.119257	−	0.178481i
$372$	−0.444568	+	4.51380i	−0.0230498	+	0.234029i
$373$	−5.12752	+	25.7778i	−0.265493	+	1.33472i	0.585981	+	0.810325i	$0.300709\pi$
$373$	−5.12752	+	25.7778i	−0.265493	+	1.33472i	−0.851474	+	0.524397i	$0.824291\pi$
$374$	2.15403	+	0.978707i	0.111382	+	0.0506077i
$375$	−11.1609	−	17.8644i	−0.576345	−	0.922512i
$376$	0.965745	−	1.16924i	0.0498045	−	0.0602987i
$377$	13.2978	−	32.1037i	0.684872	−	1.65343i
$378$	−0.971195	+	2.91118i	−0.0499529	+	0.149735i
$379$	−29.4298	+	19.6644i	−1.51171	+	1.01009i	−0.524364	+	0.851494i	$0.675697\pi$
$379$	−29.4298	+	19.6644i	−1.51171	+	1.01009i	−0.987343	+	0.158597i	$0.949303\pi$
$380$	25.0534	+	12.4204i	1.28521	+	0.637154i
$381$	5.39405	+	14.2409i	0.276346	+	0.729581i
$382$	−8.31309	−	13.3999i	−0.425335	−	0.685598i
$383$	−1.21040			−0.0618486			−0.0309243	−	0.999522i	$-0.509845\pi$
$383$	−1.21040			−0.0618486			−0.0309243	+	0.999522i	$0.509845\pi$
$384$	17.5293	+	8.75918i	0.894539	+	0.446990i
$385$	0.844383			0.0430337
$386$	2.63811	+	4.25237i	0.134276	+	0.216440i
$387$	−4.01419	−	6.88583i	−0.204053	−	0.350026i
$388$	−29.1085	−	14.4308i	−1.47776	−	0.732613i
$389$	0.284535	−	0.190120i	0.0144265	−	0.00963949i	−0.548336	−	0.836258i	$-0.684739\pi$
$389$	0.284535	−	0.190120i	0.0144265	−	0.00963949i	0.562763	+	0.826619i	$0.309739\pi$
$390$	13.0295	−	17.0173i	0.659773	−	0.861705i
$391$	2.34794	−	5.66843i	0.118741	−	0.286665i
$392$	14.8848	+	12.2943i	0.751798	+	0.620958i
$393$	−0.555828	+	0.347257i	−0.0280378	+	0.0175168i
$394$	30.1521	+	13.6999i	1.51904	+	0.690193i
$395$	−4.70243	+	23.6407i	−0.236605	+	1.18949i
$396$	6.47697	−	0.438191i	0.325480	−	0.0220199i
$397$	19.5251	−	29.2213i	0.979935	−	1.46658i	0.0980106	−	0.995185i	$-0.468752\pi$
$397$	19.5251	−	29.2213i	0.979935	−	1.46658i	0.881924	−	0.471391i	$-0.156248\pi$
$398$	4.24829	−	0.696814i	0.212947	−	0.0349281i
$399$	−4.40580	−	3.14317i	−0.220566	−	0.157355i
$400$	5.83281	−	1.53667i	0.291641	−	0.0768336i
$401$	23.1584	+	23.1584i	1.15648	+	1.15648i	0.985228	+	0.171248i	$0.0547799\pi$
$401$	23.1584	+	23.1584i	1.15648	+	1.15648i	0.171248	+	0.985228i	$0.445220\pi$
$402$	10.5252	−	21.3997i	0.524952	−	1.06732i
$403$	−3.40601	+	5.09745i	−0.169665	+	0.253922i
$404$	9.57691	−	1.24037i	0.476469	−	0.0617108i
$405$	−7.56500	−	15.0209i	−0.375908	−	0.746392i
$406$	4.10381	−	1.53965i	0.203668	−	0.0764113i
$407$	2.84791	+	6.87546i	0.141166	+	0.340804i
$408$	7.17046	+	2.44244i	0.354991	+	0.120919i
$409$	1.93819	−	4.67920i	0.0958372	−	0.231371i	−0.868689	−	0.495357i	$-0.835037\pi$
$409$	1.93819	−	4.67920i	0.0958372	−	0.231371i	0.964527	+	0.263986i	$0.0850372\pi$
$410$	−12.4587	−	0.420950i	−0.615291	−	0.0207892i
$411$	2.01527	+	2.14265i	0.0994061	+	0.105689i
$412$	−7.91804	+	6.91457i	−0.390094	+	0.340656i
$413$	−4.43201	+	0.881581i	−0.218085	+	0.0433798i
$414$	−1.70287	−	16.7484i	−0.0836914	−	0.823137i
$415$	−14.4634			−0.709978
$416$	15.3149	+	21.6106i	0.750875	+	1.05955i
$417$	−19.3941	+	3.24383i	−0.949732	+	0.158851i
$418$	−2.61136	+	11.1466i	−0.127726	+	0.545197i
$419$	5.69288	+	28.6200i	0.278115	+	1.39818i	0.826962	+	0.562258i	$0.190067\pi$
$419$	5.69288	+	28.6200i	0.278115	+	1.39818i	−0.548847	+	0.835923i	$0.684933\pi$
$420$	2.69043	−	0.264985i	0.131279	−	0.0129300i
$421$	−2.22508	+	1.48675i	−0.108444	+	0.0724599i	−0.608610	−	0.793470i	$-0.708272\pi$
$421$	−2.22508	+	1.48675i	−0.108444	+	0.0724599i	0.500166	+	0.865930i	$0.333272\pi$
$422$	−16.9608	−	0.573065i	−0.825637	−	0.0278964i
$423$	0.0984573	−	1.60548i	0.00478716	−	0.0780609i
$424$	−27.8584	−	2.83244i	−1.35292	−	0.137555i
$425$	2.15419	−	0.892294i	0.104493	−	0.0432826i
$426$	−16.8769	−	29.1608i	−0.817687	−	1.41285i
$427$	0.160211	−	0.805437i	0.00775317	−	0.0389778i
$428$	−24.7768	+	32.1497i	−1.19763	+	1.55401i
$429$	8.00015	+	3.60459i	0.386251	+	0.174031i
$430$	−4.09574	+	5.70294i	−0.197514	+	0.275020i
$431$	−5.33618	+	5.33618i	−0.257035	+	0.257035i	−0.823847	−	0.566812i	$-0.808177\pi$
$431$	−5.33618	+	5.33618i	−0.257035	+	0.257035i	0.566812	+	0.823847i	$0.308177\pi$
$432$	20.4998	−	3.42880i	0.986299	−	0.164968i
$433$	5.90242	+	5.90242i	0.283652	+	0.283652i	0.834564	−	0.550912i	$-0.185720\pi$
$433$	5.90242	+	5.90242i	0.283652	+	0.283652i	−0.550912	+	0.834564i	$0.685720\pi$
$434$	−0.763106	+	0.125166i	−0.0366303	+	0.00600818i
$435$	−9.86744	+	21.9001i	−0.473107	+	1.05003i
$436$	19.8928	−	11.4295i	0.952693	−	0.547373i
$437$	29.1179	+	5.79190i	1.39290	+	0.277064i
$438$	−23.1752	−	6.18369i	−1.10735	−	0.295468i
$439$	9.06518	+	21.8853i	0.432658	+	1.04453i	0.978427	+	0.206593i	$0.0662374\pi$
$439$	9.06518	+	21.8853i	0.432658	+	1.04453i	−0.545769	+	0.837935i	$0.683763\pi$
$440$	−2.67988	−	5.05191i	−0.127758	−	0.240840i
$441$	20.4384	+	1.25340i	0.973256	+	0.0596858i
$442$	6.99138	+	7.48034i	0.332546	+	0.355804i
$443$	−12.9127	−	19.3252i	−0.613499	−	0.918166i	0.386492	−	0.922293i	$-0.373687\pi$
$443$	−12.9127	−	19.3252i	−0.613499	−	0.918166i	−0.999991	+	0.00412643i	$0.998687\pi$
$444$	11.2319	+	21.0133i	0.533040	+	0.997247i
$445$	16.0398	−	3.19052i	0.760360	−	0.151245i
$446$	−10.1421	−	16.3480i	−0.480241	−	0.774101i
$447$	−5.54939	−	33.1784i	−0.262477	−	1.56929i
$448$	−0.672427	+	3.27264i	−0.0317692	+	0.154618i
$449$		−	30.4105i		−	1.43516i	−0.696476	−	0.717580i	$-0.745250\pi$
$449$		−	30.4105i		−	1.43516i	0.696476	−	0.717580i	$-0.254750\pi$
$450$	4.04307	−	4.95827i	0.190592	−	0.233735i
$451$	−0.995666	−	5.00555i	−0.0468841	−	0.235702i
$452$	3.80600	+	11.2899i	0.179019	+	0.531034i
$453$	−10.4936	+	9.86975i	−0.493031	+	0.463721i
$454$	−1.26175	+	1.17927i	−0.0592167	+	0.0553459i
$455$	3.37599	+	1.39838i	0.158269	+	0.0655572i
$456$	−4.82244	+	36.3354i	−0.225832	+	1.70156i
$457$	−9.19465	+	3.80855i	−0.430108	+	0.178156i	−0.587225	−	0.809423i	$-0.699780\pi$
$457$	−9.19465	+	3.80855i	−0.430108	+	0.178156i	0.157118	+	0.987580i	$0.449780\pi$
$458$	21.6684	+	9.84527i	1.01250	+	0.460039i
$459$	7.67372	−	2.38070i	0.358178	−	0.111122i
$460$	−12.8586	+	7.38798i	−0.599537	+	0.344466i
$461$	−3.55212	−	2.37345i	−0.165439	−	0.110543i	0.470095	−	0.882616i	$-0.344220\pi$
$461$	−3.55212	−	2.37345i	−0.165439	−	0.110543i	−0.635533	+	0.772073i	$0.719220\pi$
$462$	0.356875	+	1.04770i	0.0166033	+	0.0487435i
$463$	−24.5696	+	24.5696i	−1.14185	+	1.14185i	−0.153737	+	0.988112i	$0.549131\pi$
$463$	−24.5696	+	24.5696i	−1.14185	+	1.14185i	−0.988112	+	0.153737i	$0.950869\pi$
$464$	−22.2362	−	19.6664i	−1.03229	−	0.912990i
$465$	2.46123	−	3.44992i	0.114137	−	0.159986i
$466$	16.5140	+	11.8601i	0.764998	+	0.549407i
$467$	25.9545	+	17.3422i	1.20103	+	0.802502i	0.984775	−	0.173835i	$-0.0556160\pi$
$467$	25.9545	+	17.3422i	1.20103	+	0.802502i	0.216254	+	0.976337i	$0.430616\pi$
$468$	26.6218	+	8.97455i	1.23059	+	0.414849i
$469$	3.98784	+	0.793232i	0.184142	+	0.0366280i
$470$	−1.32665	+	0.497726i	−0.0611937	+	0.0229584i
$471$	−18.5284	−	29.6570i	−0.853744	−	1.36652i
$472$	19.3406	+	23.7186i	0.890225	+	1.09174i
$473$	−2.65577	−	1.10006i	−0.122112	−	0.0505806i
$474$	−31.3207	+	4.15692i	−1.43861	+	0.190934i
$475$	6.26823	+	9.38107i	0.287606	+	0.430433i
$476$	−0.0871743	+	1.28856i	−0.00399563	+	0.0590610i
$477$	−25.6589	+	14.9582i	−1.17484	+	0.684890i
$478$	10.4214	+	2.44146i	0.476662	+	0.111670i
$479$			12.3662i			0.565025i	0.959264	+	0.282512i	$0.0911678\pi$
$479$			12.3662i			0.565025i	−0.959264	+	0.282512i	$0.908832\pi$
$480$	−10.1242	−	15.2557i	−0.462104	−	0.696325i
$481$			32.2057i			1.46846i
$482$	−2.05307	+	8.76352i	−0.0935148	+	0.399168i
$483$	2.68414	−	1.01668i	0.122132	−	0.0462605i
$484$	−14.8074	+	12.9308i	−0.673063	+	0.587765i
$485$	16.8651	+	25.2404i	0.765805	+	1.14611i
$486$	15.4404	−	15.7351i	0.700392	−	0.713758i
$487$	26.8010	+	11.1013i	1.21447	+	0.503049i	0.895647	−	0.444766i	$-0.146713\pi$
$487$	26.8010	+	11.1013i	1.21447	+	0.503049i	0.318821	+	0.947815i	$0.396713\pi$
$488$	−5.32737	+	1.59773i	−0.241159	+	0.0723260i
$489$	22.8237	−	14.2592i	1.03212	−	0.644824i
$490$	−6.33625	−	16.8888i	−0.286243	−	0.762957i
$491$	−33.2845	−	6.62070i	−1.50211	−	0.298788i	−0.625588	−	0.780153i	$-0.715141\pi$
$491$	−33.2845	−	6.62070i	−1.50211	−	0.298788i	−0.876520	+	0.481366i	$0.840141\pi$
$492$	−4.74330	−	15.6365i	−0.213845	−	0.704950i
$493$	−9.54127	−	6.37527i	−0.429717	−	0.287128i
$494$	−28.9005	+	40.2413i	−1.30030	+	1.81054i
$495$	−5.45129	−	2.65987i	−0.245017	−	0.119552i
$496$	3.17079	+	4.16838i	0.142373	+	0.187166i
$497$	4.06190	−	4.06190i	0.182201	−	0.182201i
$498$	−6.11288	−	17.9460i	−0.273925	−	0.804180i
$499$	−13.5941	−	9.08331i	−0.608557	−	0.406625i	0.212754	−	0.977106i	$-0.431757\pi$
$499$	−13.5941	−	9.08331i	−0.608557	−	0.406625i	−0.821311	+	0.570481i	$0.806757\pi$
$500$	−23.4808	−	6.34454i	−1.05009	−	0.283736i
$501$	0.319697	−	10.4360i	0.0142830	−	0.466244i
$502$	−6.43022	+	14.1523i	−0.286995	+	0.631646i
$503$	17.0658	−	7.06889i	0.760927	−	0.315186i	0.0317356	−	0.999496i	$-0.489897\pi$
$503$	17.0658	−	7.06889i	0.760927	−	0.315186i	0.729191	+	0.684310i	$0.239897\pi$
$504$	1.46589	+	3.22626i	0.0652959	+	0.143709i
$505$	−8.33609	−	3.45292i	−0.370951	−	0.153653i
$506$	−4.14578	−	4.43573i	−0.184302	−	0.197192i
$507$	10.5898	+	11.2591i	0.470308	+	0.500034i
$508$	15.7542	+	7.81030i	0.698982	+	0.346526i
$509$	−5.19666	−	26.1254i	−0.230338	−	1.15799i	−0.906817	−	0.421525i	$-0.861495\pi$
$509$	−5.19666	−	26.1254i	−0.230338	−	1.15799i	0.676479	−	0.736462i	$-0.263505\pi$
$510$	−4.67226	−	5.31641i	−0.206891	−	0.235415i
$511$		−	4.08949i		−	0.180908i
$512$	21.7142	−	6.36350i	0.959640	−	0.281230i
$513$	18.5424	+	34.1707i	0.818667	+	1.50867i
$514$	−15.2777	+	9.47804i	−0.673869	+	0.418058i
$515$	9.63336	−	1.91619i	0.424496	−	0.0844376i
$516$	−8.80721	−	2.67163i	−0.387716	−	0.117612i
$517$	−0.322292	−	0.482344i	−0.0141744	−	0.0212134i
$518$	−2.96787	+	2.77387i	−0.130401	+	0.121877i
$519$	0.530299	−	2.29612i	0.0232775	−	0.100789i
$520$	−2.34816	−	24.6366i	−0.102974	−	1.08039i
$521$	−4.39754	−	10.6166i	−0.192660	−	0.465122i	0.797800	−	0.602922i	$-0.205997\pi$
$521$	−4.39754	−	10.6166i	−0.192660	−	0.465122i	−0.990460	+	0.137800i	$0.955997\pi$
$522$	−31.3439	−	2.98742i	−1.37189	−	0.130756i
$523$	36.3927	+	7.23897i	1.59134	+	0.316538i	0.909738	−	0.415182i	$-0.136282\pi$
$523$	36.3927	+	7.23897i	1.59134	+	0.316538i	0.681605	+	0.731720i	$0.261282\pi$
$524$	−0.197402	+	0.730576i	−0.00862356	+	0.0319154i
$525$	0.994496	+	0.448085i	0.0434034	+	0.0195560i
$526$	−0.186089	−	1.13454i	−0.00811388	−	0.0494682i
$527$	1.43157	+	1.43157i	0.0623600	+	0.0623600i
$528$	5.13572	−	5.46034i	0.223504	−	0.237631i
$529$	5.13017	−	5.13017i	0.223051	−	0.223051i
$530$	21.2511	+	15.2621i	0.923087	+	0.662943i
$531$	31.3898	+	8.26972i	1.36220	+	0.358875i
$532$	−6.19757	+	0.802690i	−0.268699	+	0.0348010i
$533$	4.30884	−	21.6620i	0.186637	−	0.938286i
$534$	10.7379	+	18.5536i	0.464676	+	0.802893i
$535$	35.0378	−	14.5131i	1.51481	−	0.627457i
$536$	−7.91063	−	26.3766i	−0.341687	−	1.13930i
$537$	−1.49612	+	6.47798i	−0.0645621	+	0.279546i
$538$	0.597601	−	17.6869i	0.0257644	−	0.762538i
$539$	6.14043	−	4.10291i	0.264487	−	0.176725i
$540$	−18.2040	−	6.76431i	−0.783374	−	0.291090i
$541$	−2.58599	−	13.0007i	−0.111181	−	0.558942i	−0.995716	−	0.0924686i	$-0.970524\pi$
$541$	−2.58599	−	13.0007i	−0.111181	−	0.558942i	0.884535	−	0.466474i	$-0.154476\pi$
$542$	6.40003	+	1.49936i	0.274905	+	0.0644032i
$543$	2.24890	+	13.4456i	0.0965096	+	0.577007i
$544$	7.98606	−	3.56803i	0.342400	−	0.152978i
$545$	−21.4363			−0.918231
$546$	−0.308251	+	4.77992i	−0.0131919	+	0.204562i
$547$	7.74908	−	1.54139i	0.331327	−	0.0659049i	−0.0266239	−	0.999646i	$-0.508476\pi$
$547$	7.74908	−	1.54139i	0.331327	−	0.0659049i	0.357950	+	0.933741i	$0.383476\pi$
$548$	3.38877	+	0.229259i	0.144761	+	0.00979347i
$549$	−3.57150	+	4.69518i	−0.152428	+	0.200385i
$550$	0.0779161	−	2.30605i	0.00332235	−	0.0983304i
$551$	21.2489	−	51.2994i	0.905235	−	2.18543i
$552$	−14.6016	−	12.8324i	−0.621485	−	0.546182i
$553$	−2.06146	−	4.97679i	−0.0876620	−	0.211635i
$554$	−10.1674	−	27.1004i	−0.431972	−	1.15139i
$555$	0.681674	−	22.2521i	0.0289355	−	0.944548i
$556$	−13.8600	+	17.9844i	−0.587794	+	0.762707i
$557$	−15.2965	+	22.8928i	−0.648134	+	0.970000i	0.351297	+	0.936264i	$0.385741\pi$
$557$	−15.2965	+	22.8928i	−0.648134	+	0.970000i	−0.999431	+	0.0337364i	$0.989259\pi$
$558$	5.32085	+	1.59577i	0.225250	+	0.0675545i
$559$	−8.79644	−	8.79644i	−0.372050	−	0.372050i
$560$	2.06810	−	2.33833i	0.0873931	−	0.0988125i
$561$	1.68289	−	2.35892i	0.0710516	−	0.0995935i
$562$	−1.75423	−	10.6951i	−0.0739978	−	0.451145i
$563$	14.0340	−	21.0034i	0.591463	−	0.885187i	−0.408153	−	0.912914i	$-0.633827\pi$
$563$	14.0340	−	21.0034i	0.591463	−	0.885187i	0.999616	+	0.0277269i	$0.00882688\pi$
$564$	−1.17828	−	1.43573i	−0.0496144	−	0.0604552i
$565$	2.17175	−	10.9181i	0.0913664	−	0.459330i
$566$	16.6556	−	36.6572i	0.700086	−	1.54082i
$567$	3.27074	+	1.85190i	0.137358	+	0.0777726i
$568$	−37.1937	−	11.4106i	−1.56061	−	0.478780i
$569$	11.2443	−	27.1460i	0.471384	−	1.13802i	−0.492168	−	0.870500i	$-0.663796\pi$
$569$	11.2443	−	27.1460i	0.471384	−	1.13802i	0.963552	−	0.267521i	$-0.0862044\pi$
$570$	20.8201	−	27.1924i	0.872059	−	1.13897i
$571$	13.6981	−	9.15280i	0.573249	−	0.383033i	−0.234892	−	0.972021i	$-0.575474\pi$
$571$	13.6981	−	9.15280i	0.573249	−	0.383033i	0.808141	+	0.588989i	$0.200474\pi$
$572$	9.60126	−	3.23672i	0.401449	−	0.135334i
$573$	−18.0609	+	6.84100i	−0.754507	+	0.285787i
$574$	2.36735	−	1.46867i	0.0988112	−	0.0613010i
$575$	−5.98355			−0.249531
$576$	14.6502	−	19.0098i	0.610425	−	0.792074i
$577$	16.6429			0.692854			0.346427	−	0.938077i	$-0.387395\pi$
$577$	16.6429			0.692854			0.346427	+	0.938077i	$0.387395\pi$
$578$	−17.5563	+	10.8917i	−0.730247	+	0.453034i
$579$	5.73153	−	2.17095i	0.238194	−	0.0902215i
$580$	8.86042	+	26.2831i	0.367909	+	1.09135i
$581$	2.68759	−	1.79579i	0.111500	−	0.0745020i
$582$	−24.1901	+	31.5938i	−1.00271	+	1.30961i
$583$	−4.09917	+	9.89628i	−0.169770	+	0.409862i
$584$	−24.4673	+	12.9791i	−1.01246	+	0.537079i
$585$	−17.3902	−	19.6625i	−0.718997	−	0.812945i
$586$	−12.9724	+	28.5510i	−0.535886	+	1.17943i
$587$	4.31446	−	21.6903i	0.178077	−	0.895253i	−0.783642	−	0.621213i	$-0.786640\pi$
$587$	4.31446	−	21.6903i	0.178077	−	0.895253i	0.961718	−	0.274040i	$-0.0883599\pi$
$588$	18.2775	−	14.9999i	0.753750	−	0.618587i
$589$	−5.44255	+	8.14536i	−0.224257	+	0.335624i
$590$	−4.62842	−	28.2182i	−0.190549	−	1.16172i
$591$	23.5570	−	33.0201i	0.969007	−	1.35826i
$592$	26.0153	+	8.95302i	1.06922	+	0.367967i
$593$	16.7792	+	16.7792i	0.689038	+	0.689038i	0.962019	−	0.272981i	$-0.0880098\pi$
$593$	16.7792	+	16.7792i	0.689038	+	0.689038i	−0.272981	+	0.962019i	$0.588010\pi$
$594$	0.996377	−	7.88809i	0.0408818	−	0.323652i
$595$	0.670416	−	1.00335i	0.0274844	−	0.0411333i
$596$	−30.7668	−	23.7110i	−1.26026	−	0.971240i
$597$	0.161446	−	5.27012i	0.00660754	−	0.215692i
$598$	−9.22956	−	24.6007i	−0.377425	−	1.00600i
$599$	12.1713	+	29.3840i	0.497304	+	1.20060i	0.950930	+	0.309406i	$0.100130\pi$
$599$	12.1713	+	29.3840i	0.497304	+	1.20060i	−0.453626	+	0.891192i	$0.649870\pi$
$600$	−0.475427	−	7.37215i	−0.0194092	−	0.300967i
$601$	4.40982	−	10.6463i	0.179880	−	0.434270i	−0.808061	−	0.589099i	$-0.799483\pi$
$601$	4.40982	−	10.6463i	0.179880	−	0.434270i	0.987941	+	0.154829i	$0.0494828\pi$
$602$	0.0529877	−	1.56826i	0.00215962	−	0.0639174i
$603$	−23.2466	−	17.6831i	−0.946673	−	0.720110i
$604$	−1.12279	+	16.5964i	−0.0456857	+	0.675300i
$605$	18.0152	−	3.58344i	0.732421	−	0.145688i
$606$	0.761141	−	11.8027i	0.0309192	−	0.479453i
$607$	−14.8380			−0.602255			−0.301128	−	0.953584i	$-0.597363\pi$
$607$	−14.8380			−0.602255			−0.301128	+	0.953584i	$0.597363\pi$
$608$	24.4721	+	34.5322i	0.992475	+	1.40047i
$609$	−0.885578	−	5.29465i	−0.0358854	−	0.214550i
$610$	5.05967	+	1.18535i	0.204860	+	0.0479935i
$611$	−0.489771	−	2.46224i	−0.0198140	−	0.0996117i
$612$	4.62185	−	8.04426i	0.186827	−	0.325170i
$613$	−19.1975	+	12.8274i	−0.775381	+	0.518093i	−0.879171	−	0.476506i	$-0.841903\pi$
$613$	−19.1975	+	12.8274i	−0.775381	+	0.518093i	0.103790	+	0.994599i	$0.466903\pi$
$614$	0.449968	−	13.3175i	0.0181592	−	0.537452i
$615$	−3.43563	+	14.8758i	−0.138538	+	0.599852i
$616$	1.12523	+	0.606011i	0.0453367	+	0.0244169i
$617$	−19.4169	+	8.04275i	−0.781696	+	0.323789i	−0.737600	−	0.675238i	$-0.764041\pi$
$617$	−19.4169	+	8.04275i	−0.781696	+	0.323789i	−0.0440962	+	0.999027i	$0.514041\pi$
$618$	6.44910	+	11.1431i	0.259421	+	0.448242i
$619$	−2.16722	+	10.8953i	−0.0871079	+	0.437921i	0.912477	+	0.409127i	$0.134167\pi$
$619$	−2.16722	+	10.8953i	−0.0871079	+	0.437921i	−0.999585	+	0.0287940i	$0.990833\pi$
$620$	−0.628538	−	4.85294i	−0.0252427	−	0.194899i
$621$	−20.5313	−	1.89161i	−0.823891	−	0.0759077i
$622$	22.9301	+	16.4680i	0.919414	+	0.660305i
$623$	−2.58439	+	2.58439i	−0.103541	+	0.103541i
$624$	29.5764	−	13.3261i	1.18400	−	0.533472i
$625$	10.7383	+	10.7383i	0.429532	+	0.429532i
$626$	0.342223	+	2.08644i	0.0136780	+	0.0833910i
$627$	12.7837	+	5.75987i	0.510530	+	0.230027i
$628$	−38.9810	−	10.5327i	−1.55551	−	0.420301i
$629$	10.4310	+	2.07486i	0.415912	+	0.0827300i
$630$	0.314154	−	3.29609i	0.0125162	−	0.131319i
$631$	−0.659241	−	1.59155i	−0.0262440	−	0.0633585i	0.910214	−	0.414138i	$-0.135917\pi$
$631$	−0.659241	−	1.59155i	−0.0262440	−	0.0633585i	−0.936458	+	0.350779i	$0.885917\pi$
$632$	−23.2334	+	28.1288i	−0.924173	+	1.11890i
$633$	−4.67714	+	20.2514i	−0.185899	+	0.804920i
$634$	−25.2383	+	23.5885i	−1.00234	+	0.936820i
$635$	−9.12781	−	13.6607i	−0.362226	−	0.542109i
$636$	−9.95539	+	32.8186i	−0.394757	+	1.30134i
$637$	31.3454	−	6.23498i	1.24195	−	0.247039i
$638$	−9.64945	+	5.98638i	−0.382026	+	0.237003i
$639$	−39.0187	+	13.4281i	−1.54355	+	0.531208i
$640$	−20.5538	−	4.95202i	−0.812460	−	0.195746i
$641$			43.2196i			1.70707i	0.521035	+	0.853535i	$0.325546\pi$
$641$			43.2196i			1.70707i	−0.521035	+	0.853535i	$0.674454\pi$
$642$	32.8163	+	37.3406i	1.29516	+	1.47372i
$643$	−5.01480	−	25.2111i	−0.197765	−	0.994230i	−0.944351	−	0.328941i	$-0.893308\pi$
$643$	−5.01480	−	25.2111i	−0.197765	−	0.994230i	0.746586	−	0.665289i	$-0.231692\pi$
$644$	1.47210	−	2.96938i	0.0580088	−	0.117010i
$645$	5.89158	+	6.26396i	0.231981	+	0.246643i
$646$	11.1717	+	11.9530i	0.439545	+	0.470286i
$647$	−22.2652	−	9.22255i	−0.875336	−	0.362576i	−0.100650	−	0.994922i	$-0.532092\pi$
$647$	−22.2652	−	9.22255i	−0.875336	−	0.362576i	−0.774686	+	0.632346i	$0.782092\pi$
$648$	0.699269	−	25.4462i	0.0274699	−	0.999623i
$649$	10.8160	−	4.48014i	0.424566	−	0.175861i
$650$	4.13058	−	9.09098i	0.162015	−	0.356577i
$651$	−0.0290000	+	0.946655i	−0.00113660	+	0.0371023i
$652$	8.10583	−	29.9992i	0.317449	−	1.17486i
$653$	−17.1291	−	11.4453i	−0.670314	−	0.447889i	0.173279	−	0.984873i	$-0.444564\pi$
$653$	−17.1291	−	11.4453i	−0.670314	−	0.447889i	−0.843593	+	0.536983i	$0.819564\pi$
$654$	−9.05997	−	26.5980i	−0.354273	−	1.04006i
$655$	0.499990	−	0.499990i	0.0195362	−	0.0195362i
$656$	−16.3004	−	9.50253i	−0.636423	−	0.371011i
$657$	−12.8822	+	26.4015i	−0.502583	+	1.03002i
$658$	0.184720	−	0.257206i	0.00720115	−	0.0100269i
$659$	−2.27271	−	1.51858i	−0.0885324	−	0.0591554i	0.510516	−	0.859868i	$-0.329454\pi$
$659$	−2.27271	−	1.51858i	−0.0885324	−	0.0591554i	−0.599049	+	0.800713i	$0.704454\pi$
$660$	−6.70236	+	2.03314i	−0.260889	+	0.0791399i
$661$	9.49701	+	1.88907i	0.369391	+	0.0734764i	0.376295	−	0.926500i	$-0.377198\pi$
$661$	9.49701	+	1.88907i	0.369391	+	0.0734764i	−0.00690453	+	0.999976i	$0.502198\pi$
$662$	15.1763	+	40.4511i	0.589842	+	1.57218i
$663$	10.6351	−	6.64434i	0.413033	−	0.258045i
$664$	−19.2739	−	10.3803i	−0.747974	−	0.402834i
$665$	5.39459	+	2.23451i	0.209193	+	0.0866507i
$666$	27.8983	−	8.55894i	1.08104	−	0.331652i
$667$	16.3602	+	24.4848i	0.633470	+	0.948055i
$668$	−7.93006	−	9.08089i	−0.306823	−	0.351350i
$669$	−22.0346	+	8.34610i	−0.851905	+	0.322679i
$670$	−5.86887	+	25.0512i	−0.226734	+	0.967814i
$671$			2.12756i			0.0821337i
$672$	3.77545	+	1.57779i	0.145641	+	0.0608646i
$673$		−	9.33053i		−	0.359665i	−0.983697	−	0.179833i	$-0.942444\pi$
$673$		−	9.33053i		−	0.359665i	0.983697	−	0.179833i	$-0.0575556\pi$
$674$	−14.6394	−	3.42963i	−0.563887	−	0.132104i
$675$	−5.00891	−	6.02555i	−0.192793	−	0.231923i
$676$	17.8072	+	1.20470i	0.684892	+	0.0463347i
$677$	−25.5295	−	38.2076i	−0.981177	−	1.46844i	−0.880801	−	0.473486i	$-0.842995\pi$
$677$	−25.5295	−	38.2076i	−0.981177	−	1.46844i	−0.100376	−	0.994950i	$-0.532005\pi$
$678$	14.4650	−	1.91982i	0.555526	−	0.0737301i
$679$	−6.26777	−	2.59619i	−0.240535	−	0.0996328i
$680$	−8.13074	−	0.826674i	−0.311800	−	0.0317015i
$681$	1.12073	+	1.79387i	0.0429466	+	0.0687414i
$682$	1.87577	−	0.703741i	0.0718268	−	0.0269476i
$683$	15.3278	+	3.04889i	0.586503	+	0.116663i	0.479417	−	0.877587i	$-0.340848\pi$
$683$	15.3278	+	3.04889i	0.586503	+	0.116663i	0.107086	+	0.994250i	$0.465848\pi$
$684$	42.5397	+	14.3407i	1.62654	+	0.548329i
$685$	−2.63870	−	1.76312i	−0.100820	−	0.0673655i
$686$	6.63235	+	4.76322i	0.253224	+	0.181861i
$687$	16.9289	−	23.7294i	0.645880	−	0.905334i
$688$	−9.55098	+	4.66026i	−0.364128	+	0.177671i
$689$	−32.7785	+	32.7785i	−1.24876	+	1.24876i
$690$	5.85633	+	17.1928i	0.222946	+	0.654520i
$691$	−2.32753	−	1.55521i	−0.0885436	−	0.0591629i	0.510510	−	0.859872i	$-0.329456\pi$
$691$	−2.32753	−	1.55521i	−0.0885436	−	0.0591629i	−0.599054	+	0.800709i	$0.704456\pi$
$692$	−1.35561	−	2.35942i	−0.0515327	−	0.0896916i
$693$	1.34321	−	0.182581i	0.0510245	−	0.00693567i
$694$	14.6079	+	6.63727i	0.554510	+	0.251947i
$695$	19.5999	−	8.11856i	0.743468	−	0.307955i
$696$	−28.8671	+	22.1024i	−1.09420	+	0.837789i
$697$	−6.73844	−	2.79115i	−0.255237	−	0.105722i
$698$	−5.77547	+	5.39794i	−0.218605	+	0.204315i
$699$	18.1386	−	17.0603i	0.686064	−	0.645280i
$700$	1.19353	−	0.402356i	0.0451112	−	0.0152076i
$701$	3.87641	+	19.4880i	0.146410	+	0.736052i	0.982324	+	0.187191i	$0.0599383\pi$
$701$	3.87641	+	19.4880i	0.146410	+	0.736052i	−0.835914	+	0.548861i	$0.815062\pi$
$702$	17.0472	−	29.8879i	0.643404	−	1.12805i
$703$			51.4624i			1.94094i
$704$	0.0545249	−	8.65553i	0.00205498	−	0.326218i
$705$	0.286283	+	1.71162i	0.0107821	+	0.0644632i
$706$	−8.68809	−	14.0043i	−0.326980	−	0.527061i
$707$	1.97774	−	0.393397i	0.0743805	−	0.0147952i
$708$	33.0567	−	17.6692i	1.24235	−	0.664049i
$709$	−18.0277	−	26.9804i	−0.677045	−	1.01327i	−0.997812	−	0.0661113i	$-0.978941\pi$
$709$	−18.0277	−	26.9804i	−0.677045	−	1.01327i	0.320767	−	0.947158i	$-0.396059\pi$
$710$	24.8211	+	26.5571i	0.931520	+	0.996669i
$711$	−2.36863	+	38.6236i	−0.0888306	+	1.44850i
$712$	23.6645	+	7.26003i	0.886866	+	0.272081i
$713$	−1.98818	−	4.79990i	−0.0744580	−	0.179758i
$714$	1.52829	+	0.407785i	0.0571950	+	0.0152610i
$715$	−9.28507	−	1.84692i	−0.347242	−	0.0690707i
$716$	3.82455	+	6.65655i	0.142930	+	0.248767i
$717$	5.38512	−	11.9519i	0.201111	−	0.446353i
$718$	11.7634	−	1.92947i	0.439008	−	0.0720071i
$719$	1.45736	+	1.45736i	0.0543505	+	0.0543505i	0.733760	−	0.679409i	$-0.237764\pi$
$719$	1.45736	+	1.45736i	0.0543505	+	0.0543505i	−0.679409	+	0.733760i	$0.737764\pi$
$720$	−20.7174	+	8.58147i	−0.772093	+	0.319813i
$721$	−1.55216	+	1.55216i	−0.0578054	+	0.0578054i
$722$	−30.5068	+	42.4779i	−1.13534	+	1.58086i
$723$	10.0506	+	4.52845i	0.373786	+	0.168415i
$724$	12.4683	+	9.60893i	0.463381	+	0.357113i
$725$	−2.18326	+	10.9760i	−0.0810844	+	0.407639i
$726$	12.0603	+	20.8386i	0.447602	+	0.773391i
$727$	−40.4130	+	16.7396i	−1.49883	+	0.620837i	−0.973218	−	0.229885i	$-0.926165\pi$
$727$	−40.4130	+	16.7396i	−1.49883	+	0.620837i	−0.525616	+	0.850722i	$0.676165\pi$
$728$	3.49525	+	4.28643i	0.129543	+	0.158866i
$729$	−15.2821	−	22.2589i	−0.566004	−	0.824403i
$730$	25.8636	+	0.873871i	0.957255	+	0.0323434i
$731$	−3.41576	+	2.28234i	−0.126337	+	0.0844154i
$732$	0.667675	+	6.77898i	0.0246780	+	0.250558i
$733$	−5.01311	−	25.2026i	−0.185163	−	0.930880i	−0.955893	−	0.293717i	$-0.905108\pi$
$733$	−5.01311	−	25.2026i	−0.185163	−	0.930880i	0.770729	−	0.637163i	$-0.219892\pi$
$734$	1.16677	−	4.98035i	0.0430663	−	0.183828i
$735$	−21.7896	+	3.64450i	−0.803721	+	0.134430i
$736$	−22.4378	+	0.616644i	−0.827068	+	0.0227298i
$737$	−10.5339			−0.388021
$738$	−19.9099	+	2.02431i	−0.732893	+	0.0745159i
$739$	19.8215	−	3.94273i	0.729144	−	0.145036i	0.183460	−	0.983027i	$-0.441270\pi$
$739$	19.8215	−	3.94273i	0.729144	−	0.145036i	0.545684	+	0.837991i	$0.316270\pi$
$740$	−16.9089	−	19.3628i	−0.621583	−	0.711789i
$741$	41.5724	+	44.2000i	1.52720	+	1.62373i
$742$	−5.84385	−	0.197450i	−0.214534	−	0.00724861i
$743$	6.99983	−	16.8991i	0.256799	−	0.619967i	−0.741924	−	0.670484i	$-0.766087\pi$
$743$	6.99983	−	16.8991i	0.256799	−	0.619967i	0.998723	+	0.0505163i	$0.0160867\pi$
$744$	5.75584	−	2.83096i	0.211019	−	0.103788i
$745$	13.8888	+	33.5306i	0.508848	+	1.22847i
$746$	34.8008	−	13.0564i	1.27415	−	0.478029i
$747$	−23.0078	+	3.12741i	−0.841812	+	0.114426i
$748$	−0.429769	−	3.31825i	−0.0157139	−	0.121327i
$749$	−4.70877	+	7.04717i	−0.172055	+	0.257498i
$750$	−13.1474	+	26.7310i	−0.480075	+	0.976079i
$751$	−15.6818	−	15.6818i	−0.572236	−	0.572236i	0.360517	−	0.932753i	$-0.382600\pi$
$751$	−15.6818	−	15.6818i	−0.572236	−	0.572236i	−0.932753	+	0.360517i	$0.882600\pi$
$752$	−2.12511	−	0.288861i	−0.0774949	−	0.0105337i
$753$	15.4983	+	11.0568i	0.564791	+	0.402931i
$754$	−48.4943	+	7.95415i	−1.76606	+	0.289673i
$755$	8.63486	−	12.9230i	0.314255	−	0.470315i
$756$	4.22254	−	1.00328i	0.153572	−	0.0364890i
$757$	2.99099	−	15.0367i	0.108709	−	0.546518i	−0.887595	−	0.460625i	$-0.847625\pi$
$757$	2.99099	−	15.0367i	0.108709	−	0.546518i	0.996304	−	0.0858937i	$-0.0273746\pi$
$758$	45.5725	+	20.7063i	1.65527	+	0.752087i
$759$	−6.30645	+	3.93999i	−0.228909	+	0.143013i
$760$	−3.75220	−	39.3674i	−0.136106	−	1.42801i
$761$	−17.8467	+	43.0858i	−0.646944	+	1.56186i	0.170190	+	0.985411i	$0.445562\pi$
$761$	−17.8467	+	43.0858i	−0.646944	+	1.56186i	−0.817133	+	0.576449i	$0.804438\pi$
$762$	13.0923	−	17.0994i	0.474283	−	0.619444i
$763$	3.98331	−	2.66156i	0.144205	−	0.0963550i
$764$	−9.90540	+	19.9803i	−0.358365	+	0.722862i
$765$	−7.48879	+	4.36570i	−0.270758	+	0.157842i
$766$	0.902402	+	1.45458i	0.0326051	+	0.0525562i
$767$	50.6639			1.82937
$768$	−2.54256	−	27.5959i	−0.0917468	−	0.995782i
$769$	18.2208			0.657058			0.328529	−	0.944494i	$-0.393447\pi$
$769$	18.2208			0.657058			0.328529	+	0.944494i	$0.393447\pi$
$770$	−0.629520	−	1.01473i	−0.0226863	−	0.0365682i
$771$	7.79965	+	20.5919i	0.280898	+	0.741599i
$772$	3.14342	−	6.34062i	0.113134	−	0.228204i
$773$	34.7208	−	23.1997i	1.24882	−	0.834435i	0.257548	−	0.966265i	$-0.417085\pi$
$773$	34.7208	−	23.1997i	1.24882	−	0.834435i	0.991272	+	0.131830i	$0.0420853\pi$
$774$	−5.28221	+	9.95766i	−0.189865	+	0.357921i
$775$	0.755574	−	1.82412i	0.0271410	−	0.0655242i
$776$	4.35953	+	45.7395i	0.156498	+	1.64195i
$777$	2.63618	+	4.21953i	0.0945724	+	0.151375i
$778$	−0.440607	−	0.200194i	−0.0157965	−	0.00717731i
$779$	6.88522	−	34.6143i	0.246688	−	1.24019i
$780$	−30.1643	−	2.97091i	−1.08006	−	0.106376i
$781$	−8.26815	+	12.3742i	−0.295858	+	0.442782i
$782$	−8.56245	+	1.40443i	−0.306193	+	0.0502224i
$783$	−10.9613	+	36.9716i	−0.391725	+	1.32126i
$784$	3.67732	−	27.0536i	0.131333	−	0.966199i
$785$	26.6778	+	26.6778i	0.952170	+	0.952170i
$786$	0.831703	+	0.409065i	0.0296658	+	0.0145909i
$787$	−1.97931	+	2.96225i	−0.0705549	+	0.105593i	−0.865069	−	0.501653i	$-0.832726\pi$
$787$	−1.97931	+	2.96225i	−0.0705549	+	0.105593i	0.794514	+	0.607246i	$0.207726\pi$
$788$	−6.01590	−	46.4488i	−0.214308	−	1.65467i
$789$	−1.40743	−	0.0431153i	−0.0501057	−	0.00153495i
$790$	31.9158	−	11.9740i	1.13551	−	0.426016i
$791$	0.952055	+	2.29846i	0.0338512	+	0.0817240i
$792$	−5.35543	−	7.45693i	−0.190297	−	0.264970i
$793$	−3.52346	+	8.50639i	−0.125122	+	0.302071i
$794$	−49.6730	−	1.67834i	−1.76283	−	0.0595619i
$795$	23.3416	−	21.9540i	0.827841	−	0.778628i
$796$	−4.00465	−	4.58582i	−0.141941	−	0.162540i
$797$	8.57757	−	1.70618i	0.303833	−	0.0604361i	−0.0408193	−	0.999167i	$-0.512997\pi$
$797$	8.57757	−	1.70618i	0.303833	−	0.0604361i	0.344652	+	0.938730i	$0.387997\pi$
$798$	−0.492562	+	7.63797i	−0.0174365	+	0.270381i
$799$	−0.829042			−0.0293294
$800$	−6.19527	−	5.86385i	−0.219036	−	0.207319i
$801$	24.8257	−	8.54365i	0.877172	−	0.301875i
$802$	10.5648	−	45.0958i	0.373056	−	1.59239i
$803$	2.06695	+	10.3913i	0.0729411	+	0.366700i
$804$	−33.5638	+	3.30577i	−1.18370	+	0.116585i
$805$	−2.57479	+	1.72042i	−0.0907495	+	0.0606369i
$806$	8.66511	+	0.292774i	0.305216	+	0.0103125i
$807$	−21.1185	−	4.87739i	−0.743405	−	0.171692i
$808$	−8.63056	−	10.5842i	−0.303622	−	0.372350i
$809$	−17.9321	+	7.42772i	−0.630459	+	0.261145i	−0.674948	−	0.737865i	$-0.735834\pi$
$809$	−17.9321	+	7.42772i	−0.630459	+	0.261145i	0.0444892	+	0.999010i	$0.485834\pi$
$810$	−12.4111	+	20.2898i	−0.436082	+	0.712910i
$811$	1.46929	−	7.38661i	0.0515937	−	0.259379i	−0.946376	−	0.323067i	$-0.895286\pi$
$811$	1.46929	−	7.38661i	0.0515937	−	0.259379i	0.997970	+	0.0636878i	$0.0202862\pi$
$812$	−4.90980	−	3.78383i	−0.172300	−	0.132786i
$813$	3.30714	−	7.33999i	0.115987	−	0.257425i
$814$	6.13926	−	8.54836i	0.215181	−	0.299620i
$815$	−20.5308	+	20.5308i	−0.719164	+	0.719164i
$816$	−2.41069	−	10.4379i	−0.0843912	−	0.365401i
$817$	−14.0561	−	14.0561i	−0.491760	−	0.491760i
$818$	−7.06816	+	1.15934i	−0.247132	+	0.0405352i
$819$	5.67278	+	1.49451i	0.198223	+	0.0522223i
$820$	8.78257	+	15.2859i	0.306701	+	0.533807i
$821$	22.7355	+	4.52238i	0.793475	+	0.157832i	0.575154	−	0.818045i	$-0.304942\pi$
$821$	22.7355	+	4.52238i	0.793475	+	0.157832i	0.218321	+	0.975877i	$0.429942\pi$
$822$	1.07243	−	4.01926i	0.0374054	−	0.140188i
$823$	6.85511	+	16.5497i	0.238954	+	0.576887i	0.997175	−	0.0751111i	$-0.0239311\pi$
$823$	6.85511	+	16.5497i	0.238954	+	0.576887i	−0.758221	+	0.651998i	$0.773931\pi$
$824$	14.2127	+	4.36031i	0.495123	+	0.151899i
$825$	−2.75346	−	0.635922i	−0.0958631	−	0.0221399i
$826$	4.36367	+	4.66885i	0.151831	+	0.162450i
$827$	−4.11849	−	6.16375i	−0.143214	−	0.214335i	0.752927	−	0.658104i	$-0.228641\pi$
$827$	−4.11849	−	6.16375i	−0.143214	−	0.214335i	−0.896141	+	0.443769i	$0.853641\pi$
$828$	−18.8576	+	14.5330i	−0.655345	+	0.505055i
$829$	−39.0970	+	7.77688i	−1.35790	+	0.270102i	−0.819737	−	0.572741i	$-0.805880\pi$
$829$	−39.0970	+	7.77688i	−1.35790	+	0.270102i	−0.538159	+	0.842843i	$0.680880\pi$
$830$	10.7830	+	17.3812i	0.374284	+	0.603309i
$831$	−34.9645	+	5.84812i	−1.21290	+	0.202869i
$832$	14.5524	−	34.5161i	0.504515	−	1.19663i
$833$		−	10.5540i		−	0.365676i
$834$	18.3573	+	20.8882i	0.635661	+	0.723298i
$835$	2.19761	+	11.0481i	0.0760514	+	0.382336i
$836$	15.3421	−	5.17204i	0.530618	−	0.178879i
$837$	3.16926	−	6.02020i	0.109546	−	0.208089i
$838$	30.1495	−	28.1787i	1.04150	−	0.973418i
$839$	−5.16322	−	2.13868i	−0.178254	−	0.0738353i	0.291771	−	0.956488i	$-0.405755\pi$
$839$	−5.16322	−	2.13868i	−0.178254	−	0.0738353i	−0.470026	+	0.882653i	$0.655755\pi$
$840$	−2.32426	−	3.03563i	−0.0801946	−	0.104739i
$841$	24.0910	−	9.97884i	0.830726	−	0.344098i
$842$	3.44557	+	1.56553i	0.118742	+	0.0539517i
$843$	−13.2675	−	0.406441i	−0.456959	−	0.0139986i
$844$	11.9562	+	20.8096i	0.411551	+	0.716297i
$845$	−13.8657	−	9.26479i	−0.476996	−	0.318719i
$846$	−2.00276	+	1.07863i	−0.0688564	+	0.0370839i
$847$	−2.90267	+	2.90267i	−0.0997368	+	0.0997368i
$848$	17.3657	+	35.5901i	0.596340	+	1.22217i
$849$	−40.1439	−	28.6393i	−1.37773	−	0.982897i
$850$	−2.67833	−	1.92353i	−0.0918661	−	0.0659764i
$851$	−22.6929	−	15.1629i	−0.777902	−	0.519777i
$852$	−22.4612	+	42.0221i	−0.769509	+	1.43965i
$853$	−43.4071	−	8.63420i	−1.48623	−	0.295629i	−0.615792	−	0.787909i	$-0.711164\pi$
$853$	−43.4071	−	8.63420i	−1.48623	−	0.295629i	−0.870437	+	0.492279i	$0.836164\pi$
$854$	−1.08737	+	0.407953i	−0.0372089	+	0.0139599i
$855$	−27.7883	−	31.4193i	−0.950340	−	1.07452i
$856$	57.1075	+	5.80627i	1.95189	+	0.198454i
$857$	−0.0260493	−	0.0107900i	−0.000889829	−	0.000368579i	0.382238	−	0.924064i	$-0.375153\pi$
$857$	−0.0260493	−	0.0107900i	−0.000889829	−	0.000368579i	−0.383128	+	0.923695i	$0.625153\pi$
$858$	−1.63266	−	12.3014i	−0.0557381	−	0.419964i
$859$	−26.3771	−	39.4761i	−0.899974	−	1.34691i	−0.937637	−	0.347616i	$-0.886991\pi$
$859$	−26.3771	−	39.4761i	−0.899974	−	1.34691i	0.0376625	−	0.999291i	$-0.488009\pi$
$860$	9.90697	+	0.670232i	0.337825	+	0.0228547i
$861$	−1.20859	−	3.19081i	−0.0411888	−	0.108743i
$862$	10.3910	+	2.43435i	0.353919	+	0.0829143i
$863$			5.13442i			0.174778i	0.996174	+	0.0873888i	$0.0278522\pi$
$863$			5.13442i			0.174778i	−0.996174	+	0.0873888i	$0.972148\pi$
$864$	−19.4040	−	22.0791i	−0.660136	−	0.751146i
$865$			2.54249i			0.0864471i
$866$	2.69267	−	11.4936i	0.0915005	−	0.390570i
$867$	8.96296	+	23.6632i	0.304398	+	0.803643i
$868$	0.719343	+	0.823736i	0.0244161	+	0.0279594i
$869$	7.75351	+	11.6039i	0.263020	+	0.393637i
$870$	33.6748	−	4.46936i	1.14168	−	0.151525i
$871$	−42.1165	−	17.4452i	−1.42706	−	0.591108i
$872$	−28.5661	−	15.3848i	−0.967371	−	0.520994i
$873$	32.2861	+	36.5048i	1.09272	+	1.23550i
$874$	−14.7482	−	39.3101i	−0.498864	−	1.32968i
$875$	−4.98133	−	0.990849i	−0.168400	−	0.0334968i
$876$	9.84686	+	32.4607i	0.332694	+	1.09674i
$877$	−10.9915	−	7.34429i	−0.371157	−	0.247999i	0.355977	−	0.934495i	$-0.384148\pi$
$877$	−10.9915	−	7.34429i	−0.371157	−	0.247999i	−0.727134	+	0.686496i	$0.759148\pi$
$878$	19.5419	−	27.2103i	0.659507	−	0.918304i
$879$	31.2666	+	22.3061i	1.05460	+	0.752366i
$880$	−4.07311	+	6.98690i	−0.137304	+	0.235528i
$881$	1.16995	−	1.16995i	0.0394166	−	0.0394166i	−0.687124	−	0.726540i	$-0.741127\pi$
$881$	1.16995	−	1.16995i	0.0394166	−	0.0394166i	0.726540	+	0.687124i	$0.241127\pi$
$882$	−13.7314	−	25.4960i	−0.462359	−	0.858495i
$883$	−24.5680	−	16.4158i	−0.826780	−	0.552436i	0.0686494	−	0.997641i	$-0.478131\pi$
$883$	−24.5680	−	16.4158i	−0.826780	−	0.552436i	−0.895429	+	0.445204i	$0.853131\pi$
$884$	3.77706	−	13.9787i	0.127036	−	0.470154i
$885$	−35.0055	−	1.07236i	−1.17670	−	0.0360471i
$886$	−13.5969	+	29.9253i	−0.456795	+	1.00536i
$887$	39.5980	−	16.4020i	1.32957	−	0.550726i	0.399037	−	0.916935i	$-0.369344\pi$
$887$	39.5980	−	16.4020i	1.32957	−	0.550726i	0.930533	+	0.366209i	$0.119344\pi$
$888$	16.8787	−	29.1640i	0.566411	−	0.978679i
$889$	3.39227	+	1.40512i	0.113773	+	0.0471263i
$890$	−15.7925	−	16.8970i	−0.529365	−	0.566388i
$891$	−9.24686	−	3.05249i	−0.309781	−	0.102262i
$892$	−12.0847	+	24.3762i	−0.404626	+	0.816175i
$893$	−0.782618	−	3.93449i	−0.0261893	−	0.131663i
$894$	−35.7345	+	31.4047i	−1.19514	+	1.05033i
$895$		−	7.17304i		−	0.239768i
$896$	4.43417	−	1.63180i	0.148135	−	0.0545147i
$897$	−31.7393	+	5.30869i	−1.05975	+	0.177252i
$898$	−36.5454	+	22.6722i	−1.21954	+	0.756582i
$899$	−9.53021	+	1.89568i	−0.317850	+	0.0632244i
$900$	−8.97281	−	1.16212i	−0.299094	−	0.0387374i
$901$	8.50476	+	12.7283i	0.283334	+	0.424040i
$902$	−5.27305	+	4.92836i	−0.175573	+	0.164097i
$903$	−1.87252	−	0.432465i	−0.0623135	−	0.0143915i
$904$	10.7300	−	12.9909i	0.356875	−	0.432071i
$905$	−5.62848	−	13.5884i	−0.187097	−	0.451692i
$906$	19.6842	+	5.25221i	0.653964	+	0.174493i
$907$	19.4169	+	3.86227i	0.644728	+	0.128244i	0.506616	−	0.862172i	$-0.330896\pi$
$907$	19.4169	+	3.86227i	0.644728	+	0.128244i	0.138113	+	0.990417i	$0.455896\pi$
$908$	2.35785	+	0.637094i	0.0782481	+	0.0211427i
$909$	−14.0074	−	3.69028i	−0.464596	−	0.122399i
$910$	−0.836449	−	5.09960i	−0.0277280	−	0.169050i
$911$	6.81886	+	6.81886i	0.225919	+	0.225919i	0.810985	−	0.585066i	$-0.198932\pi$
$911$	6.81886	+	6.81886i	0.225919	+	0.225919i	−0.585066	+	0.810985i	$0.698932\pi$
$912$	47.2609	−	21.2942i	1.56497	−	0.705121i
$913$	−5.92143	+	5.92143i	−0.195971	+	0.195971i
$914$	11.4318	+	8.21012i	0.378132	+	0.271567i
$915$	2.61453	−	5.80278i	0.0864337	−	0.191834i
$916$	−4.32324	−	33.3798i	−0.142844	−	1.10290i
$917$	−0.0308290	+	0.154988i	−0.00101806	+	0.00511815i
$918$	−8.58203	−	7.44688i	−0.283249	−	0.245784i
$919$	−4.98982	+	2.06685i	−0.164599	+	0.0681791i	−0.463462	−	0.886117i	$-0.653393\pi$
$919$	−4.98982	+	2.06685i	−0.164599	+	0.0681791i	0.298863	+	0.954296i	$0.403393\pi$
$920$	18.4650	+	9.94466i	0.608774	+	0.327866i
$921$	−15.9013	−	3.67247i	−0.523966	−	0.121012i
$922$	−0.204017	+	6.03821i	−0.00671894	+	0.198858i
$923$	−53.5504	+	35.7812i	−1.76263	+	1.17775i
$924$	0.992998	−	1.20997i	0.0326672	−	0.0398052i
$925$	−2.02348	−	10.1727i	−0.0665317	−	0.334477i
$926$	47.8439	+	11.2086i	1.57225	+	0.368338i
$927$	14.9101	−	5.13124i	0.489711	−	0.168532i
$928$	−7.05591	+	41.3841i	−0.231621	+	1.35850i
$929$	−24.6790			−0.809692			−0.404846	−	0.914385i	$-0.632675\pi$
$929$	−24.6790			−0.809692			−0.404846	+	0.914385i	$0.632675\pi$
$930$	−5.98083	−	0.385696i	−0.196119	−	0.0126475i
$931$	50.0876	−	9.96305i	1.64156	−	0.326526i
$932$	1.94079	−	28.6877i	0.0635728	−	0.939696i
$933$	25.1858	−	23.6886i	0.824547	−	0.775530i
$934$	1.49070	−	44.1197i	0.0487773	−	1.44364i
$935$	−1.19638	+	2.88832i	−0.0391259	+	0.0944583i
$936$	−9.06255	−	38.6833i	−0.296219	−	1.26440i
$937$	2.23115	+	5.38647i	0.0728885	+	0.175968i	0.956125	−	0.292960i	$-0.0946403\pi$
$937$	2.23115	+	5.38647i	0.0728885	+	0.175968i	−0.883236	+	0.468928i	$0.844640\pi$
$938$	−2.01984	−	5.38372i	−0.0659501	−	0.175785i
$939$	2.58829	+	0.0792902i	0.0844657	+	0.00258754i
$940$	1.58720	+	1.22321i	0.0517689	+	0.0398966i
$941$	6.49586	−	9.72173i	0.211759	−	0.316919i	−0.710351	−	0.703848i	$-0.751464\pi$
$941$	6.49586	−	9.72173i	0.211759	−	0.316919i	0.922110	+	0.386928i	$0.126464\pi$
$942$	−21.8263	+	44.3768i	−0.711139	+	1.44587i
$943$	13.2349	+	13.2349i	0.430987	+	0.430987i
$944$	14.0843	−	40.9255i	0.458404	−	1.33201i
$945$	−3.88789	−	1.15268i	−0.126473	−	0.0374966i
$946$	0.658003	+	4.01167i	0.0213935	+	0.130431i
$947$	−4.29877	+	6.43356i	−0.139691	+	0.209063i	−0.894718	−	0.446631i	$-0.852624\pi$
$947$	−4.29877	+	6.43356i	−0.139691	+	0.209063i	0.755027	+	0.655694i	$0.227624\pi$
$948$	28.3463	+	34.5400i	0.920645	+	1.12181i
$949$	−8.94494	+	44.9692i	−0.290365	+	1.45976i
$950$	6.60036	−	14.5267i	0.214144	−	0.471309i
$951$	22.4176	+	35.8822i	0.726941	+	1.16356i
$952$	1.61350	−	0.855911i	0.0522938	−	0.0277402i
$953$	14.4190	−	34.8105i	0.467076	−	1.12762i	−0.498357	−	0.866972i	$-0.666063\pi$
$953$	14.4190	−	34.8105i	0.467076	−	1.12762i	0.965433	−	0.260650i	$-0.0839369\pi$
$954$	37.1056	+	19.6833i	1.20134	+	0.637270i
$955$	17.3252	−	11.5763i	0.560630	−	0.374601i
$956$	−4.83554	−	14.3439i	−0.156393	−	0.463916i
$957$	4.92630	+	13.0059i	0.159245	+	0.420422i
$958$	14.8609	−	9.21947i	0.480133	−	0.297867i
$959$	0.709237			0.0229025
$960$	−10.7854	+	23.5403i	−0.348096	+	0.759761i
$961$	−29.2857			−0.944699
$962$	38.7028	−	24.0107i	1.24783	−	0.774135i
$963$	52.5987	−	30.6632i	1.69497	−	0.988107i
$964$	12.0621	−	4.06630i	0.388494	−	0.130967i
$965$	−5.49804	+	3.67367i	−0.176988	+	0.118260i
$966$	−3.22291	−	2.46765i	−0.103695	−	0.0793954i
$967$	20.0466	−	48.3967i	0.644654	−	1.55633i	−0.175679	−	0.984448i	$-0.556212\pi$
$967$	20.0466	−	48.3967i	0.644654	−	1.55633i	0.820333	−	0.571886i	$-0.193788\pi$
$968$	26.5789	+	8.15414i	0.854279	+	0.262084i
$969$	16.9941	−	10.6172i	0.545929	−	0.341073i
$970$	17.7587	−	39.0851i	0.570198	−	1.25495i
$971$	−1.33635	+	6.71831i	−0.0428856	+	0.215601i	−0.996286	−	0.0861080i	$-0.972557\pi$
$971$	−1.33635	+	6.71831i	−0.0428856	+	0.215601i	0.953400	+	0.301709i	$0.0975570\pi$
$972$	−30.4209	−	6.82419i	−0.975750	−	0.218886i
$973$	−2.63406	+	3.94215i	−0.0844441	+	0.126380i
$974$	−6.64031	−	40.4842i	−0.212769	−	1.29720i
$975$	−9.95567	−	7.10253i	−0.318837	−	0.227463i
$976$	5.89182	+	5.21092i	0.188593	+	0.166798i
$977$	−27.7848	−	27.7848i	−0.888916	−	0.888916i	0.105503	−	0.994419i	$-0.466355\pi$
$977$	−27.7848	−	27.7848i	−0.888916	−	0.888916i	−0.994419	+	0.105503i	$0.966355\pi$
$978$	−34.1518	−	16.7972i	−1.09205	−	0.537116i
$979$	5.26062	−	7.87307i	0.168130	−	0.251625i
$980$	−15.5719	+	20.2058i	−0.497427	+	0.645449i
$981$	−34.1001	+	4.63517i	−1.08873	+	0.147990i
$982$	16.8586	+	44.9352i	0.537979	+	1.43394i
$983$	1.06225	+	2.56451i	0.0338806	+	0.0817950i	0.939914	−	0.341411i	$-0.110905\pi$
$983$	1.06225	+	2.56451i	0.0338806	+	0.0817950i	−0.906034	+	0.423206i	$0.860905\pi$
$984$	−15.2547	+	17.3579i	−0.486302	+	0.553349i
$985$	−16.7470	+	40.4307i	−0.533603	+	1.28823i
$986$	−0.548006	+	16.2191i	−0.0174521	+	0.516522i
$987$	−0.265714	−	0.282508i	−0.00845777	−	0.00899234i
$988$	69.9059	+	4.72932i	2.22400	+	0.150460i
$989$	10.3396	−	2.05668i	0.328782	−	0.0653987i
$990$	0.867688	+	8.53405i	0.0275769	+	0.271230i
$991$	−3.73190			−0.118548			−0.0592739	−	0.998242i	$-0.518879\pi$
$991$	−3.73190			−0.118548			−0.0592739	+	0.998242i	$0.518879\pi$
$992$	2.64535	−	6.91815i	0.0839899	−	0.219651i
$993$	52.1893	−	8.72913i	1.65618	−	0.277011i
$994$	−7.90964	−	1.85303i	−0.250878	−	0.0587744i
$995$	1.10978	+	5.57927i	0.0351825	+	0.176875i
$996$	−17.0090	+	20.7255i	−0.538950	+	0.656714i
$997$	34.6204	−	23.1326i	1.09644	−	0.732617i	0.130516	−	0.991446i	$-0.458337\pi$
$997$	34.6204	−	23.1326i	1.09644	−	0.732617i	0.965923	+	0.258829i	$0.0833367\pi$
$998$	−0.780783	+	23.1085i	−0.0247153	+	0.731488i
$999$	−3.72718	−	35.5452i	−0.117923	−	1.12460i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.11.10	✓	240
3.2	odd	2	inner	192.2.s.a.11.21	yes	240
4.3	odd	2		768.2.s.a.719.27		240
12.11	even	2		768.2.s.a.719.1		240
64.29	even	16		768.2.s.a.47.1		240
64.35	odd	16	inner	192.2.s.a.35.21	yes	240
192.29	odd	16		768.2.s.a.47.27		240
192.35	even	16	inner	192.2.s.a.35.10	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.11.10	✓	240	1.1	even	1	trivial
192.2.s.a.11.21	yes	240	3.2	odd	2	inner
192.2.s.a.35.10	yes	240	192.35	even	16	inner
192.2.s.a.35.21	yes	240	64.35	odd	16	inner
768.2.s.a.47.1		240	64.29	even	16
768.2.s.a.47.27		240	192.29	odd	16
768.2.s.a.719.1		240	12.11	even	2
768.2.s.a.719.27		240	4.3	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:	\( N \)	\(=\)	\( 192 = 2^{6} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	192.s (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.745539 - 1.20174i) q^{2} +(-1.61975 + 0.613518i) q^{3} +(-0.888342 + 1.79188i) q^{4} +(1.55377 - 1.03819i) q^{5} +(1.94488 + 1.48911i) q^{6} +(-0.159818 + 0.385836i) q^{7} +(2.81567 - 0.268367i) q^{8} +(2.24719 - 1.98749i) q^{9} +O(q^{10})\)	\(q+(-0.745539 - 1.20174i) q^{2} +(-1.61975 + 0.613518i) q^{3} +(-0.888342 + 1.79188i) q^{4} +(1.55377 - 1.03819i) q^{5} +(1.94488 + 1.48911i) q^{6} +(-0.159818 + 0.385836i) q^{7} +(2.81567 - 0.268367i) q^{8} +(2.24719 - 1.98749i) q^{9} +(-2.40603 - 1.09320i) q^{10} +(0.211080 - 1.06117i) q^{11} +(0.339540 - 3.44742i) q^{12} +(2.60135 - 3.89319i) q^{13} +(0.582824 - 0.0955962i) q^{14} +(-1.87977 + 2.63488i) q^{15} +(-2.42170 - 3.18361i) q^{16} +(-1.09336 - 1.09336i) q^{17} +(-4.06381 - 1.21878i) q^{18} +(4.15676 - 6.22104i) q^{19} +(0.480047 + 3.70644i) q^{20} +(0.0221488 - 0.723010i) q^{21} +(-1.43262 + 0.537483i) q^{22} +(1.51848 + 3.66593i) q^{23} +(-4.39603 + 2.16215i) q^{24} +(-0.577071 + 1.39317i) q^{25} +(-6.61800 - 0.223607i) q^{26} +(-2.42053 + 4.59794i) q^{27} +(-0.549400 - 0.629130i) q^{28} +(7.27872 - 1.44783i) q^{29} +(4.56787 + 0.294576i) q^{30} -1.30933 q^{31} +(-2.02039 + 5.28375i) q^{32} +(0.309151 + 1.84834i) q^{33} +(-0.498788 + 2.12908i) q^{34} +(0.152252 + 0.765422i) q^{35} +(1.56509 + 5.79228i) q^{36} +(-5.71900 + 3.82132i) q^{37} +(-10.5751 - 0.357307i) q^{38} +(-1.82499 + 7.90198i) q^{39} +(4.09627 - 3.34019i) q^{40} +(4.35794 - 1.80512i) q^{41} +(-0.885380 + 0.512415i) q^{42} +(0.518320 - 2.60577i) q^{43} +(1.71399 + 1.32092i) q^{44} +(1.42821 - 5.42112i) q^{45} +(3.27340 - 4.55791i) q^{46} +(0.379125 - 0.379125i) q^{47} +(5.87575 + 3.67090i) q^{48} +(4.82642 + 4.82642i) q^{49} +(2.10446 - 0.345178i) q^{50} +(2.44177 + 1.10018i) q^{51} +(4.66526 + 8.11980i) q^{52} +(-9.70998 - 1.93143i) q^{53} +(7.33011 - 0.519111i) q^{54} +(-0.773734 - 1.86796i) q^{55} +(-0.346450 + 1.12928i) q^{56} +(-2.91620 + 12.6268i) q^{57} +(-7.16648 - 7.66769i) q^{58} +(6.01144 + 8.99675i) q^{59} +(-3.05153 - 5.70900i) q^{60} +(-1.92861 + 0.383624i) q^{61} +(0.976154 + 1.57346i) q^{62} +(0.407704 + 1.18468i) q^{63} +(7.85596 - 1.51127i) q^{64} -8.74982i q^{65} +(1.99073 - 1.74953i) q^{66} +(-1.89938 - 9.54885i) q^{67} +(2.93045 - 0.987898i) q^{68} +(-4.70868 - 5.00629i) q^{69} +(0.806326 - 0.753619i) q^{70} +(-12.7079 - 5.26377i) q^{71} +(5.79396 - 6.19919i) q^{72} +(-9.04685 + 3.74733i) q^{73} +(8.85596 + 4.02379i) q^{74} +(0.0799747 - 2.61064i) q^{75} +(7.45475 + 12.9748i) q^{76} +(0.375704 + 0.251037i) q^{77} +(10.8567 - 3.69808i) q^{78} +(-9.12078 + 9.12078i) q^{79} +(-7.06796 - 2.43240i) q^{80} +(1.09973 - 8.93256i) q^{81} +(-5.41829 - 3.89131i) q^{82} +(-6.43541 - 4.30000i) q^{83} +(1.27587 + 0.681968i) q^{84} +(-2.83395 - 0.563708i) q^{85} +(-3.51788 + 1.31982i) q^{86} +(-10.9014 + 6.81075i) q^{87} +(0.309548 - 3.04456i) q^{88} +(8.08539 + 3.34908i) q^{89} +(-7.57955 + 2.32533i) q^{90} +(1.08639 + 1.62590i) q^{91} +(-7.91785 - 0.535663i) q^{92} +(2.12078 - 0.803295i) q^{93} +(-0.738261 - 0.172956i) q^{94} -13.9816i q^{95} +(0.0308551 - 9.79791i) q^{96} +16.2446i q^{97} +(2.20180 - 9.39837i) q^{98} +(-1.63474 - 2.80418i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Introduction

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