LMFDB - Embedded newform 370.2.q.f.267.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(97,370)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(370, base_ring=CyclotomicField(12))

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

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

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

chi := DirichletCharacter("370.97");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.q (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:	$2.95446487479$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$8$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			267.4
Character	$\chi$	$=$	370.267
Dual form			370.2.q.f.273.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.500000 + 0.866025i) q^{2} +(-0.243526 + 0.0652525i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(2.10570 + 0.752339i) q^{5} +(-0.178273 - 0.178273i) q^{6} +(-3.85162 + 1.03204i) q^{7} -1.00000 q^{8} +(-2.54303 + 1.46822i) q^{9} +O(q^{10})$	\(q+(0.500000 + 0.866025i) q^{2} +(-0.243526 + 0.0652525i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(2.10570 + 0.752339i) q^{5} +(-0.178273 - 0.178273i) q^{6} +(-3.85162 + 1.03204i) q^{7} -1.00000 q^{8} +(-2.54303 + 1.46822i) q^{9} +(0.401306 + 2.19976i) q^{10} +3.49925i q^{11} +(0.0652525 - 0.243526i) q^{12} +(-0.330739 + 0.572856i) q^{13} +(-2.81958 - 2.81958i) q^{14} +(-0.561885 - 0.0458116i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(5.47014 - 3.15819i) q^{17} +(-2.54303 - 1.46822i) q^{18} +(1.53404 + 5.72513i) q^{19} +(-1.70440 + 1.44742i) q^{20} +(0.870626 - 0.502656i) q^{21} +(-3.03044 + 1.74963i) q^{22} +3.13063 q^{23} +(0.243526 - 0.0652525i) q^{24} +(3.86797 + 3.16841i) q^{25} -0.661477 q^{26} +(1.05831 - 1.05831i) q^{27} +(1.03204 - 3.85162i) q^{28} +(-5.40729 - 5.40729i) q^{29} +(-0.241269 - 0.509513i) q^{30} +(-3.66847 + 3.66847i) q^{31} +(0.500000 - 0.866025i) q^{32} +(-0.228335 - 0.852158i) q^{33} +(5.47014 + 3.15819i) q^{34} +(-8.88681 - 0.724559i) q^{35} -2.93644i q^{36} +(-1.80999 - 5.80723i) q^{37} +(-4.19108 + 4.19108i) q^{38} +(0.0431631 - 0.161087i) q^{39} +(-2.10570 - 0.752339i) q^{40} +(0.539078 + 0.311237i) q^{41} +(0.870626 + 0.502656i) q^{42} +4.69251 q^{43} +(-3.03044 - 1.74963i) q^{44} +(-6.45946 + 1.17841i) q^{45} +(1.56531 + 2.71120i) q^{46} +(1.94610 + 1.94610i) q^{47} +(0.178273 + 0.178273i) q^{48} +(7.70770 - 4.45004i) q^{49} +(-0.809936 + 4.93396i) q^{50} +(-1.12604 + 1.12604i) q^{51} +(-0.330739 - 0.572856i) q^{52} +(13.2447 + 3.54891i) q^{53} +(1.44568 + 0.387368i) q^{54} +(-2.63263 + 7.36839i) q^{55} +(3.85162 - 1.03204i) q^{56} +(-0.747158 - 1.29412i) q^{57} +(1.97920 - 7.38649i) q^{58} +(1.80941 + 0.484830i) q^{59} +(0.320617 - 0.463701i) q^{60} +(-1.86714 - 6.96827i) q^{61} +(-5.01122 - 1.34275i) q^{62} +(8.27953 - 8.27953i) q^{63} +1.00000 q^{64} +(-1.12742 + 0.957437i) q^{65} +(0.623823 - 0.623823i) q^{66} +(-2.24730 - 8.38704i) q^{67} +6.31638i q^{68} +(-0.762389 + 0.204281i) q^{69} +(-3.81592 - 8.05849i) q^{70} +(3.54129 - 6.13370i) q^{71} +(2.54303 - 1.46822i) q^{72} +(5.89262 + 5.89262i) q^{73} +(4.12421 - 4.47111i) q^{74} +(-1.14870 - 0.519194i) q^{75} +(-5.72513 - 1.53404i) q^{76} +(-3.61136 - 13.4778i) q^{77} +(0.161087 - 0.0431631i) q^{78} +(3.09829 + 11.5630i) q^{79} +(-0.401306 - 2.19976i) q^{80} +(4.21599 - 7.30231i) q^{81} +0.622474i q^{82} +(-0.181321 - 0.0485847i) q^{83} +1.00531i q^{84} +(13.8945 - 2.53480i) q^{85} +(2.34625 + 4.06383i) q^{86} +(1.66965 + 0.963975i) q^{87} -3.49925i q^{88} +(0.308829 - 1.15257i) q^{89} +(-4.25027 - 5.00485i) q^{90} +(0.682670 - 2.54776i) q^{91} +(-1.56531 + 2.71120i) q^{92} +(0.653990 - 1.13274i) q^{93} +(-0.712322 + 2.65842i) q^{94} +(-1.07700 + 13.2095i) q^{95} +(-0.0652525 + 0.243526i) q^{96} +10.2644i q^{97} +(7.70770 + 4.45004i) q^{98} +(-5.13767 - 8.89870i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9}+O(q^{10}) $ 32 * q + 16 * q^2 - 2 * q^3 - 16 * q^4 + 6 * q^5 + 8 * q^6 - 10 * q^7 - 32 * q^8 + 12 * q^9	\( 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9} + 6 q^{10} + 10 q^{12} + 10 q^{13} - 8 q^{14} - 8 q^{15} - 16 q^{16} - 12 q^{17} + 12 q^{18} + 2 q^{19} - 54 q^{21} + 6 q^{22} + 12 q^{23} + 2 q^{24} - 16 q^{25} + 20 q^{26} + 40 q^{27} + 2 q^{28} + 6 q^{29} + 8 q^{30} - 4 q^{31} + 16 q^{32} + 26 q^{33} - 12 q^{34} - 12 q^{35} + 20 q^{37} - 26 q^{38} - 58 q^{39} - 6 q^{40} + 18 q^{41} - 54 q^{42} - 32 q^{43} + 6 q^{44} + 56 q^{45} + 6 q^{46} + 18 q^{47} - 8 q^{48} - 12 q^{49} - 14 q^{50} - 4 q^{51} + 10 q^{52} - 24 q^{53} + 20 q^{54} - 32 q^{55} + 10 q^{56} + 8 q^{57} + 36 q^{58} + 42 q^{59} + 16 q^{60} - 46 q^{61} - 14 q^{62} + 32 q^{64} - 18 q^{65} + 4 q^{66} + 50 q^{67} - 66 q^{69} + 12 q^{70} - 12 q^{71} - 12 q^{72} - 28 q^{73} + 16 q^{74} - 20 q^{75} - 28 q^{76} + 12 q^{77} - 26 q^{78} + 38 q^{79} - 6 q^{80} + 56 q^{81} - 8 q^{85} - 16 q^{86} + 18 q^{87} + 18 q^{89} + 4 q^{90} + 4 q^{91} - 6 q^{92} + 32 q^{93} + 30 q^{94} + 96 q^{95} - 10 q^{96} - 12 q^{98} - 26 q^{99}+O(q^{100}) \) 32 * q + 16 * q^2 - 2 * q^3 - 16 * q^4 + 6 * q^5 + 8 * q^6 - 10 * q^7 - 32 * q^8 + 12 * q^9 + 6 * q^10 + 10 * q^12 + 10 * q^13 - 8 * q^14 - 8 * q^15 - 16 * q^16 - 12 * q^17 + 12 * q^18 + 2 * q^19 - 54 * q^21 + 6 * q^22 + 12 * q^23 + 2 * q^24 - 16 * q^25 + 20 * q^26 + 40 * q^27 + 2 * q^28 + 6 * q^29 + 8 * q^30 - 4 * q^31 + 16 * q^32 + 26 * q^33 - 12 * q^34 - 12 * q^35 + 20 * q^37 - 26 * q^38 - 58 * q^39 - 6 * q^40 + 18 * q^41 - 54 * q^42 - 32 * q^43 + 6 * q^44 + 56 * q^45 + 6 * q^46 + 18 * q^47 - 8 * q^48 - 12 * q^49 - 14 * q^50 - 4 * q^51 + 10 * q^52 - 24 * q^53 + 20 * q^54 - 32 * q^55 + 10 * q^56 + 8 * q^57 + 36 * q^58 + 42 * q^59 + 16 * q^60 - 46 * q^61 - 14 * q^62 + 32 * q^64 - 18 * q^65 + 4 * q^66 + 50 * q^67 - 66 * q^69 + 12 * q^70 - 12 * q^71 - 12 * q^72 - 28 * q^73 + 16 * q^74 - 20 * q^75 - 28 * q^76 + 12 * q^77 - 26 * q^78 + 38 * q^79 - 6 * q^80 + 56 * q^81 - 8 * q^85 - 16 * q^86 + 18 * q^87 + 18 * q^89 + 4 * q^90 + 4 * q^91 - 6 * q^92 + 32 * q^93 + 30 * q^94 + 96 * q^95 - 10 * q^96 - 12 * q^98 - 26 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{4}\right)$

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 $

$2$	0.500000	+	0.866025i	0.353553	+	0.612372i
$2$	0.500000	+	0.866025i	0.353553	+	0.612372i
$3$	−0.243526	+	0.0652525i	−0.140600	+	0.0376736i	−0.328433	−	0.944527i	$-0.606520\pi$
$3$	−0.243526	+	0.0652525i	−0.140600	+	0.0376736i	0.187833	+	0.982201i	$0.439854\pi$
$4$	−0.500000	+	0.866025i	−0.250000	+	0.433013i
$5$	2.10570	+	0.752339i	0.941699	+	0.336456i
$5$	2.10570	+	0.752339i	0.941699	+	0.336456i
$6$	−0.178273	−	0.178273i	−0.0727798	−	0.0727798i
$7$	−3.85162	+	1.03204i	−1.45578	+	0.390074i	−0.898029	−	0.439937i	$-0.855001\pi$
$7$	−3.85162	+	1.03204i	−1.45578	+	0.390074i	−0.557747	+	0.830011i	$0.688334\pi$
$8$	−1.00000			−0.353553
$9$	−2.54303	+	1.46822i	−0.847676	+	0.489406i
$10$	0.401306	+	2.19976i	0.126904	+	0.695626i
$11$			3.49925i			1.05506i	0.849535	+	0.527532i	$0.176883\pi$
$11$			3.49925i			1.05506i	−0.849535	+	0.527532i	$0.823117\pi$
$12$	0.0652525	−	0.243526i	0.0188368	−	0.0702998i
$13$	−0.330739	+	0.572856i	−0.0917304	+	0.158882i	−0.908239	−	0.418451i	$-0.862573\pi$
$13$	−0.330739	+	0.572856i	−0.0917304	+	0.158882i	0.816509	+	0.577333i	$0.195906\pi$
$14$	−2.81958	−	2.81958i	−0.753565	−	0.753565i
$15$	−0.561885	−	0.0458116i	−0.145078	−	0.0118285i
$16$	−0.500000	−	0.866025i	−0.125000	−	0.216506i
$17$	5.47014	−	3.15819i	1.32670	−	0.765973i	0.341916	−	0.939730i	$-0.388924\pi$
$17$	5.47014	−	3.15819i	1.32670	−	0.765973i	0.984789	+	0.173757i	$0.0555908\pi$
$18$	−2.54303	−	1.46822i	−0.599398	−	0.346062i
$19$	1.53404	+	5.72513i	0.351934	+	1.31343i	0.884300	+	0.466920i	$0.154636\pi$
$19$	1.53404	+	5.72513i	0.351934	+	1.31343i	−0.532366	+	0.846514i	$0.678697\pi$
$20$	−1.70440	+	1.44742i	−0.381115	+	0.323654i
$21$	0.870626	−	0.502656i	0.189986	−	0.109689i
$22$	−3.03044	+	1.74963i	−0.646092	+	0.373022i
$23$	3.13063			0.652781			0.326391	−	0.945235i	$-0.394168\pi$
$23$	3.13063			0.652781			0.326391	+	0.945235i	$0.394168\pi$
$24$	0.243526	−	0.0652525i	0.0497095	−	0.0133196i
$25$	3.86797	+	3.16841i	0.773594	+	0.633681i
$26$	−0.661477			−0.129726
$27$	1.05831	−	1.05831i	0.203671	−	0.203671i
$28$	1.03204	−	3.85162i	0.195037	−	0.727888i
$29$	−5.40729	−	5.40729i	−1.00411	−	1.00411i	−0.999992	−	0.00411654i	$-0.998690\pi$
$29$	−5.40729	−	5.40729i	−1.00411	−	1.00411i	−0.00411654	−	0.999992i	$-0.501310\pi$
$30$	−0.241269	−	0.509513i	−0.0440494	−	0.0930238i
$31$	−3.66847	+	3.66847i	−0.658877	+	0.658877i	−0.955114	−	0.296238i	$-0.904268\pi$
$31$	−3.66847	+	3.66847i	−0.658877	+	0.658877i	0.296238	+	0.955114i	$0.404268\pi$
$32$	0.500000	−	0.866025i	0.0883883	−	0.153093i
$33$	−0.228335	−	0.852158i	−0.0397480	−	0.148342i
$34$	5.47014	+	3.15819i	0.938122	+	0.541625i
$35$	−8.88681	−	0.724559i	−1.50215	−	0.122473i
$36$		−	2.93644i		−	0.489406i
$37$	−1.80999	−	5.80723i	−0.297561	−	0.954703i
$37$	−1.80999	−	5.80723i	−0.297561	−	0.954703i
$38$	−4.19108	+	4.19108i	−0.679883	+	0.679883i
$39$	0.0431631	−	0.161087i	0.00691162	−	0.0257945i
$40$	−2.10570	−	0.752339i	−0.332941	−	0.118955i
$41$	0.539078	+	0.311237i	0.0841898	+	0.0486070i	0.541504	−	0.840698i	$-0.317855\pi$
$41$	0.539078	+	0.311237i	0.0841898	+	0.0486070i	−0.457314	+	0.889305i	$0.651188\pi$
$42$	0.870626	+	0.502656i	0.134340	+	0.0775615i
$43$	4.69251			0.715601			0.357800	−	0.933798i	$-0.383527\pi$
$43$	4.69251			0.715601			0.357800	+	0.933798i	$0.383527\pi$
$44$	−3.03044	−	1.74963i	−0.456856	−	0.263766i
$45$	−6.45946	+	1.17841i	−0.962920	+	0.175667i
$46$	1.56531	+	2.71120i	0.230793	+	0.399745i
$47$	1.94610	+	1.94610i	0.283868	+	0.283868i	0.834649	−	0.550782i	$-0.185670\pi$
$47$	1.94610	+	1.94610i	0.283868	+	0.283868i	−0.550782	+	0.834649i	$0.685670\pi$
$48$	0.178273	+	0.178273i	0.0257315	+	0.0257315i
$49$	7.70770	−	4.45004i	1.10110	−	0.635721i
$50$	−0.809936	+	4.93396i	−0.114542	+	0.697768i
$51$	−1.12604	+	1.12604i	−0.157677	+	0.157677i
$52$	−0.330739	−	0.572856i	−0.0458652	−	0.0794408i
$53$	13.2447	+	3.54891i	1.81930	+	0.487480i	0.996703	−	0.0811418i	$-0.0258567\pi$
$53$	13.2447	+	3.54891i	1.81930	+	0.487480i	0.822599	+	0.568622i	$0.192523\pi$
$54$	1.44568	+	0.387368i	0.196732	+	0.0527141i
$55$	−2.63263	+	7.36839i	−0.354983	+	0.993553i
$56$	3.85162	−	1.03204i	0.514695	−	0.137912i
$57$	−0.747158	−	1.29412i	−0.0989635	−	0.171410i
$58$	1.97920	−	7.38649i	0.259882	−	0.969894i
$59$	1.80941	+	0.484830i	0.235565	+	0.0631195i	0.374670	−	0.927158i	$-0.377756\pi$
$59$	1.80941	+	0.484830i	0.235565	+	0.0631195i	−0.139105	+	0.990278i	$0.544423\pi$
$60$	0.320617	−	0.463701i	0.0413914	−	0.0598635i
$61$	−1.86714	−	6.96827i	−0.239063	−	0.892196i	−0.976275	−	0.216534i	$-0.930525\pi$
$61$	−1.86714	−	6.96827i	−0.239063	−	0.892196i	0.737212	−	0.675662i	$-0.236142\pi$
$62$	−5.01122	−	1.34275i	−0.636426	−	0.170530i
$63$	8.27953	−	8.27953i	1.04312	−	1.04312i
$64$	1.00000			0.125000
$65$	−1.12742	+	0.957437i	−0.139839	+	0.118755i
$66$	0.623823	−	0.623823i	0.0767873	−	0.0767873i
$67$	−2.24730	−	8.38704i	−0.274551	−	1.02464i	−0.956141	−	0.292905i	$-0.905378\pi$
$67$	−2.24730	−	8.38704i	−0.274551	−	1.02464i	0.681590	−	0.731734i	$-0.261289\pi$
$68$			6.31638i			0.765973i
$69$	−0.762389	+	0.204281i	−0.0917808	+	0.0245926i
$70$	−3.81592	−	8.05849i	−0.456090	−	0.963173i
$71$	3.54129	−	6.13370i	0.420274	−	0.727936i	−0.575692	−	0.817667i	$-0.695267\pi$
$71$	3.54129	−	6.13370i	0.420274	−	0.727936i	0.995966	+	0.0897307i	$0.0286006\pi$
$72$	2.54303	−	1.46822i	0.299699	−	0.173031i
$73$	5.89262	+	5.89262i	0.689679	+	0.689679i	0.962161	−	0.272482i	$-0.0878444\pi$
$73$	5.89262	+	5.89262i	0.689679	+	0.689679i	−0.272482	+	0.962161i	$0.587844\pi$
$74$	4.12421	−	4.47111i	0.479430	−	0.519757i
$75$	−1.14870	−	0.519194i	−0.132640	−	0.0599514i
$76$	−5.72513	−	1.53404i	−0.656717	−	0.175967i
$77$	−3.61136	−	13.4778i	−0.411553	−	1.53594i
$78$	0.161087	−	0.0431631i	0.0182395	−	0.00488725i
$79$	3.09829	+	11.5630i	0.348584	+	1.30093i	0.888369	+	0.459131i	$0.151839\pi$
$79$	3.09829	+	11.5630i	0.348584	+	1.30093i	−0.539784	+	0.841803i	$0.681494\pi$
$80$	−0.401306	−	2.19976i	−0.0448674	−	0.245941i
$81$	4.21599	−	7.30231i	0.468443	−	0.811367i
$82$			0.622474i			0.0687407i
$83$	−0.181321	−	0.0485847i	−0.0199025	−	0.00533286i	0.248854	−	0.968541i	$-0.419946\pi$
$83$	−0.181321	−	0.0485847i	−0.0199025	−	0.00533286i	−0.268757	+	0.963208i	$0.586613\pi$
$84$			1.00531i			0.109689i
$85$	13.8945	−	2.53480i	1.50707	−	0.274938i
$86$	2.34625	+	4.06383i	0.253003	+	0.438214i
$87$	1.66965	+	0.963975i	0.179006	+	0.103349i
$88$		−	3.49925i		−	0.373022i
$89$	0.308829	−	1.15257i	0.0327358	−	0.122172i	−0.947624	−	0.319387i	$-0.896523\pi$
$89$	0.308829	−	1.15257i	0.0327358	−	0.122172i	0.980360	+	0.197215i	$0.0631897\pi$
$90$	−4.25027	−	5.00485i	−0.448017	−	0.527558i
$91$	0.682670	−	2.54776i	0.0715633	−	0.267078i
$92$	−1.56531	+	2.71120i	−0.163195	+	0.282663i
$93$	0.653990	−	1.13274i	0.0678156	−	0.117460i
$94$	−0.712322	+	2.65842i	−0.0734704	+	0.274195i
$95$	−1.07700	+	13.2095i	−0.110498	+	1.35527i
$96$	−0.0652525	+	0.243526i	−0.00665981	+	0.0248547i
$97$			10.2644i			1.04219i	0.853498	+	0.521097i	$0.174477\pi$
$97$			10.2644i			1.04219i	−0.853498	+	0.521097i	$0.825523\pi$
$98$	7.70770	+	4.45004i	0.778596	+	0.449522i
$99$	−5.13767	−	8.89870i	−0.516355	−	0.894353i
$100$	−4.67791	+	1.76556i	−0.467791	+	0.176556i
$101$			16.7580i			1.66748i	0.552155	+	0.833741i	$0.313806\pi$
$101$			16.7580i			1.66748i	−0.552155	+	0.833741i	$0.686194\pi$
$102$	−1.53820	−	0.412160i	−0.152305	−	0.0408099i
$103$		−	12.1763i		−	1.19977i	−0.800086	−	0.599886i	$-0.795213\pi$
$103$		−	12.1763i		−	1.19977i	0.800086	−	0.599886i	$-0.204787\pi$
$104$	0.330739	−	0.572856i	0.0324316	−	0.0561731i
$105$	2.21145	−	0.403438i	0.215815	−	0.0393715i
$106$	3.54891	+	13.2447i	0.344701	+	1.28644i
$107$	−9.79986	+	2.62586i	−0.947388	+	0.253852i	−0.699253	−	0.714874i	$-0.746484\pi$
$107$	−9.79986	+	2.62586i	−0.947388	+	0.253852i	−0.248134	+	0.968726i	$0.579817\pi$
$108$	0.387368	+	1.44568i	0.0372745	+	0.139110i
$109$	−5.24001	−	1.40406i	−0.501902	−	0.134484i	−0.00101947	−	0.999999i	$-0.500325\pi$
$109$	−5.24001	−	1.40406i	−0.501902	−	0.134484i	−0.500883	+	0.865515i	$0.666991\pi$
$110$	−7.69752	+	1.40427i	−0.733930	+	0.133892i
$111$	0.819716	+	1.29610i	0.0778040	+	0.123021i
$112$	2.81958	+	2.81958i	0.266425	+	0.266425i
$113$	−5.85434	+	3.38000i	−0.550730	+	0.317964i	−0.749416	−	0.662099i	$-0.769666\pi$
$113$	−5.85434	+	3.38000i	−0.550730	+	0.317964i	0.198687	+	0.980063i	$0.436332\pi$
$114$	0.747158	−	1.29412i	0.0699778	−	0.121205i
$115$	6.59217	+	2.35530i	0.614723	+	0.219632i
$116$	7.38649	−	1.97920i	0.685819	−	0.183765i
$117$		−	1.94239i		−	0.179574i
$118$	0.484830	+	1.80941i	0.0446322	+	0.166570i
$119$	−17.8095	+	17.8095i	−1.63260	+	1.63260i
$120$	0.561885	+	0.0458116i	0.0512929	+	0.00418201i
$121$	−1.24476			−0.113160
$122$	5.10113	−	5.10113i	0.461835	−	0.461835i
$123$	−0.151588	−	0.0406180i	−0.0136683	−	0.00366240i
$124$	−1.34275	−	5.01122i	−0.120583	−	0.450021i
$125$	5.76108	+	9.58175i	0.515287	+	0.857018i
$126$	11.3100	+	3.03052i	1.00758	+	0.269980i
$127$	5.10411	−	19.0488i	0.452916	−	1.69031i	−0.241226	−	0.970469i	$-0.577549\pi$
$127$	5.10411	−	19.0488i	0.452916	−	1.69031i	0.694142	−	0.719838i	$-0.255784\pi$
$128$	0.500000	+	0.866025i	0.0441942	+	0.0765466i
$129$	−1.14275	+	0.306198i	−0.100613	+	0.0269592i
$130$	−1.39287	−	0.497655i	−0.122163	−	0.0436473i
$131$	0.412082	+	0.110417i	0.0360038	+	0.00964718i	0.276776	−	0.960934i	$-0.410734\pi$
$131$	0.412082	+	0.110417i	0.0360038	+	0.00964718i	−0.240772	+	0.970582i	$0.577401\pi$
$132$	0.852158	+	0.228335i	0.0741708	+	0.0198740i
$133$	−11.8171	−	20.4678i	−1.02467	−	1.77479i
$134$	6.13974	−	6.13974i	0.530393	−	0.530393i
$135$	3.02469	−	1.43228i	0.260324	−	0.123271i
$136$	−5.47014	+	3.15819i	−0.469061	+	0.270812i
$137$	−1.89828	−	1.89828i	−0.162181	−	0.162181i	0.621351	−	0.783532i	$-0.286584\pi$
$137$	−1.89828	−	1.89828i	−0.162181	−	0.162181i	−0.783532	+	0.621351i	$0.786584\pi$
$138$	−0.558107	−	0.558107i	−0.0475093	−	0.0475093i
$139$	−1.12051	−	1.94078i	−0.0950404	−	0.164615i	0.814585	−	0.580044i	$-0.196965\pi$
$139$	−1.12051	−	1.94078i	−0.0950404	−	0.164615i	−0.909625	+	0.415429i	$0.863631\pi$
$140$	5.07089	−	7.33393i	0.428569	−	0.619830i
$141$	−0.600913	−	0.346937i	−0.0506060	−	0.0292174i
$142$	7.08258			0.594357
$143$	−2.00457	−	1.15734i	−0.167630	−	0.0967814i
$144$	2.54303	+	1.46822i	0.211919	+	0.122352i
$145$	−7.31803	−	15.4543i	−0.607729	−	1.28341i
$146$	−2.15685	+	8.04947i	−0.178502	+	0.666179i
$147$	−1.58665	+	1.58665i	−0.130864	+	0.130864i
$148$	5.93421	+	1.33612i	0.487789	+	0.109828i
$149$			16.8130i			1.37737i	0.725060	+	0.688686i	$0.241812\pi$
$149$			16.8130i			1.37737i	−0.725060	+	0.688686i	$0.758188\pi$
$150$	−0.124713	−	1.25440i	−0.0101828	−	0.102421i
$151$	16.3055	+	9.41397i	1.32692	+	0.766098i	0.984822	−	0.173567i	$-0.0555292\pi$
$151$	16.3055	+	9.41397i	1.32692	+	0.766098i	0.342098	+	0.939664i	$0.388863\pi$
$152$	−1.53404	−	5.72513i	−0.124427	−	0.464369i
$153$	−9.27382	+	16.0627i	−0.749744	+	1.29859i
$154$	9.86643	−	9.86643i	0.795059	−	0.795059i
$155$	−10.4846	+	4.96477i	−0.842147	+	0.398780i
$156$	0.117924	+	0.117924i	0.00944145	+	0.00944145i
$157$	3.84105	−	14.3350i	0.306549	−	1.14406i	−0.625055	−	0.780581i	$-0.714923\pi$
$157$	3.84105	−	14.3350i	0.306549	−	1.14406i	0.931604	−	0.363476i	$-0.118410\pi$
$158$	−8.46467	+	8.46467i	−0.673413	+	0.673413i
$159$	−3.45701			−0.274158
$160$	1.70440	−	1.44742i	0.134744	−	0.114429i
$161$	−12.0580	+	3.23093i	−0.950303	+	0.254633i
$162$	8.43198			0.662479
$163$	−5.19470	+	2.99916i	−0.406880	+	0.234912i	−0.689448	−	0.724335i	$-0.742147\pi$
$163$	−5.19470	+	2.99916i	−0.406880	+	0.234912i	0.282568	+	0.959247i	$0.408814\pi$
$164$	−0.539078	+	0.311237i	−0.0420949	+	0.0243035i
$165$	0.160306	−	1.96618i	0.0124798	−	0.153067i
$166$	−0.0485847	−	0.181321i	−0.00377090	−	0.0140732i
$167$	−9.83872	−	5.68039i	−0.761343	−	0.439562i	0.0684346	−	0.997656i	$-0.478200\pi$
$167$	−9.83872	−	5.68039i	−0.761343	−	0.439562i	−0.829778	+	0.558094i	$0.811533\pi$
$168$	−0.870626	+	0.502656i	−0.0671702	+	0.0387808i
$169$	6.28122	+	10.8794i	0.483171	+	0.836877i
$170$	9.14247	+	10.7656i	0.701195	+	0.825685i
$171$	−12.3069	−	12.3069i	−0.941128	−	0.941128i
$172$	−2.34625	+	4.06383i	−0.178900	+	0.309864i
$173$	2.39706	−	8.94596i	0.182245	−	0.680149i	−0.812958	−	0.582322i	$-0.802144\pi$
$173$	2.39706	−	8.94596i	0.182245	−	0.680149i	0.995203	−	0.0978266i	$-0.0311891\pi$
$174$			1.92795i			0.146157i
$175$	−18.1679	−	8.21161i	−1.37336	−	0.620739i
$176$	3.03044	−	1.74963i	0.228428	−	0.131883i
$177$	−0.472275			−0.0354983
$178$	1.15257	−	0.308829i	0.0863885	−	0.0231477i
$179$	1.82073	+	1.82073i	0.136088	+	0.136088i	0.771869	−	0.635781i	$-0.219322\pi$
$179$	1.82073	+	1.82073i	0.136088	+	0.136088i	−0.635781	+	0.771869i	$0.719322\pi$
$180$	2.20920	−	6.18326i	0.164664	−	0.460873i
$181$	9.11415	−	15.7862i	0.677449	−	1.17338i	−0.298297	−	0.954473i	$-0.596419\pi$
$181$	9.11415	−	15.7862i	0.677449	−	1.17338i	0.975747	−	0.218903i	$-0.0702479\pi$
$182$	2.54776	−	0.682670i	0.188852	−	0.0506029i
$183$	0.909395	+	1.57512i	0.0672244	+	0.116436i
$184$	−3.13063			−0.230793
$185$	0.557702	−	13.5900i	0.0410030	−	0.999159i
$186$	1.30798			0.0959057
$187$	11.0513	+	19.1414i	0.808151	+	1.39976i
$188$	−2.65842	+	0.712322i	−0.193885	+	0.0519514i
$189$	−2.98399	+	5.16842i	−0.217053	+	0.375947i
$190$	−11.9783	+	5.67206i	−0.868997	+	0.411494i
$191$	−7.32759	−	7.32759i	−0.530206	−	0.530206i	0.390428	−	0.920634i	$-0.372327\pi$
$191$	−7.32759	−	7.32759i	−0.530206	−	0.530206i	−0.920634	+	0.390428i	$0.872327\pi$
$192$	−0.243526	+	0.0652525i	−0.0175750	+	0.00470920i
$193$	−8.53815			−0.614589			−0.307295	−	0.951614i	$-0.599424\pi$
$193$	−8.53815			−0.614589			−0.307295	+	0.951614i	$0.599424\pi$
$194$	−8.88924	+	5.13221i	−0.638210	+	0.368471i
$195$	0.212081	−	0.306728i	0.0151874	−	0.0219652i
$196$			8.90009i			0.635721i
$197$	−6.52137	+	24.3381i	−0.464628	+	1.73402i	0.193490	+	0.981102i	$0.438019\pi$
$197$	−6.52137	+	24.3381i	−0.464628	+	1.73402i	−0.658118	+	0.752914i	$0.728647\pi$
$198$	5.13767	−	8.89870i	0.365118	−	0.632403i
$199$	−4.25088	−	4.25088i	−0.301337	−	0.301337i	0.540200	−	0.841537i	$-0.318349\pi$
$199$	−4.25088	−	4.25088i	−0.301337	−	0.301337i	−0.841537	+	0.540200i	$0.818349\pi$
$200$	−3.86797	−	3.16841i	−0.273507	−	0.224040i
$201$	1.09455	+	1.89582i	0.0772037	+	0.133721i
$202$	−14.5128	+	8.37900i	−1.02112	+	0.589544i
$203$	26.4074	+	15.2463i	1.85343	+	1.07008i
$204$	−0.412160	−	1.53820i	−0.0288569	−	0.107696i
$205$	0.900982	+	1.06094i	0.0629273	+	0.0740994i
$206$	10.5450	−	6.08817i	0.734707	−	0.424183i
$207$	−7.96128	+	4.59645i	−0.553347	+	0.319475i
$208$	0.661477			0.0458652
$209$	−20.0337	+	5.36800i	−1.38576	+	0.371312i
$210$	1.45511	+	1.71345i	0.100412	+	0.118239i
$211$	0.242058			0.0166640			0.00833199	−	0.999965i	$-0.497348\pi$
$211$	0.242058			0.0166640			0.00833199	+	0.999965i	$0.497348\pi$
$212$	−9.69580	+	9.69580i	−0.665911	+	0.665911i
$213$	−0.462157	+	1.72479i	−0.0316664	+	0.118181i
$214$	−7.17399	−	7.17399i	−0.490404	−	0.490404i
$215$	9.88103	+	3.53036i	0.673880	+	0.240768i
$216$	−1.05831	+	1.05831i	−0.0720087	+	0.0720087i
$217$	10.3436	−	17.9156i	0.702166	−	1.21619i
$218$	−1.40406	−	5.24001i	−0.0950947	−	0.354898i
$219$	−1.81951	−	1.05050i	−0.122951	−	0.0709860i
$220$	−5.06490	−	5.96411i	−0.341475	−	0.402100i
$221$			4.17814i			0.281052i
$222$	−0.712601	+	1.35795i	−0.0478266	+	0.0911394i
$223$	−16.7108	+	16.7108i	−1.11904	+	1.11904i	−0.127154	+	0.991883i	$0.540584\pi$
$223$	−16.7108	+	16.7108i	−1.11904	+	1.11904i	−0.991883	+	0.127154i	$0.959416\pi$
$224$	−1.03204	+	3.85162i	−0.0689560	+	0.257347i
$225$	−14.4883	−	2.37833i	−0.965885	−	0.158555i
$226$	−5.85434	−	3.38000i	−0.389425	−	0.224834i
$227$	−0.332876	−	0.192186i	−0.0220937	−	0.0127558i	0.488912	−	0.872333i	$-0.337394\pi$
$227$	−0.332876	−	0.192186i	−0.0220937	−	0.0127558i	−0.511006	+	0.859577i	$0.670727\pi$
$228$	1.49432			0.0989635
$229$	9.65234	+	5.57278i	0.637844	+	0.368260i	0.783784	−	0.621034i	$-0.213287\pi$
$229$	9.65234	+	5.57278i	0.637844	+	0.368260i	−0.145939	+	0.989294i	$0.546620\pi$
$230$	1.25634	+	6.88664i	0.0828407	+	0.454091i
$231$	1.75892	+	3.04654i	0.115728	+	0.200448i
$232$	5.40729	+	5.40729i	0.355006	+	0.355006i
$233$	−8.49821	−	8.49821i	−0.556736	−	0.556736i	0.371640	−	0.928377i	$-0.378795\pi$
$233$	−8.49821	−	8.49821i	−0.556736	−	0.556736i	−0.928377	+	0.371640i	$0.878795\pi$
$234$	1.68216	−	0.971193i	0.109966	−	0.0634889i
$235$	2.63378	+	5.56203i	0.171809	+	0.362827i
$236$	−1.32458	+	1.32458i	−0.0862228	+	0.0862228i
$237$	−1.50902	−	2.61371i	−0.0980217	−	0.169779i
$238$	−24.3283	−	6.51875i	−1.57697	−	0.422548i
$239$	−14.2037	−	3.80588i	−0.918763	−	0.246182i	−0.231706	−	0.972786i	$-0.574431\pi$
$239$	−14.2037	−	3.80588i	−0.918763	−	0.246182i	−0.687056	+	0.726604i	$0.741098\pi$
$240$	0.241269	+	0.509513i	0.0155738	+	0.0328889i
$241$	18.1183	−	4.85478i	1.16710	−	0.312724i	0.377303	−	0.926090i	$-0.376852\pi$
$241$	18.1183	−	4.85478i	1.16710	−	0.312724i	0.789799	+	0.613366i	$0.210185\pi$
$242$	−0.622382	−	1.07800i	−0.0400082	−	0.0692963i
$243$	−1.71231	+	6.39043i	−0.109845	+	0.409946i
$244$	6.96827	+	1.86714i	0.446098	+	0.119532i
$245$	19.5781	−	3.57166i	1.25080	−	0.228185i
$246$	−0.0406180	−	0.151588i	−0.00258971	−	0.00966492i
$247$	−3.78704	−	1.01473i	−0.240964	−	0.0645660i
$248$	3.66847	−	3.66847i	0.232948	−	0.232948i
$249$	0.0473265			0.00299920
$250$	−5.41750	+	9.78012i	−0.342633	+	0.618549i
$251$	−11.9333	+	11.9333i	−0.753221	+	0.753221i	−0.975079	−	0.221858i	$-0.928788\pi$
$251$	−11.9333	+	11.9333i	−0.753221	+	0.753221i	0.221858	+	0.975079i	$0.428788\pi$
$252$	3.03052	+	11.3100i	0.190905	+	0.712466i
$253$			10.9549i			0.688726i
$254$	19.0488	−	5.10411i	1.19523	−	0.320260i
$255$	−3.21827	+	1.52394i	−0.201536	+	0.0954330i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	19.0959	−	11.0250i	1.19117	−	0.687723i	0.232599	−	0.972573i	$-0.425277\pi$
$257$	19.0959	−	11.0250i	1.19117	−	0.687723i	0.958572	+	0.284850i	$0.0919436\pi$
$258$	−0.836549	−	0.836549i	−0.0520812	−	0.0520812i
$259$	12.9647	+	20.4993i	0.805587	+	1.27376i
$260$	−0.265455	−	1.45509i	−0.0164628	−	0.0902410i
$261$	21.6900	+	5.81181i	1.34258	+	0.359742i
$262$	0.110417	+	0.412082i	0.00682159	+	0.0254585i
$263$	−2.52271	+	0.675958i	−0.155557	+	0.0416814i	−0.335757	−	0.941949i	$-0.608992\pi$
$263$	−2.52271	+	0.675958i	−0.155557	+	0.0416814i	0.180200	+	0.983630i	$0.442325\pi$
$264$	0.228335	+	0.852158i	0.0140531	+	0.0524467i
$265$	25.2194	+	17.4375i	1.54922	+	1.07118i
$266$	11.8171	−	20.4678i	0.724553	−	1.25496i
$267$			0.300832i			0.0184106i
$268$	8.38704	+	2.24730i	0.512320	+	0.137276i
$269$		−	4.06889i		−	0.248085i	−0.992277	−	0.124042i	$-0.960414\pi$
$269$		−	4.06889i		−	0.248085i	0.992277	−	0.124042i	$-0.0395858\pi$
$270$	2.75273	+	1.90332i	0.167526	+	0.115832i
$271$	−12.0391	−	20.8524i	−0.731325	−	1.26669i	−0.956317	−	0.292331i	$-0.905569\pi$
$271$	−12.0391	−	20.8524i	−0.731325	−	1.26669i	0.224992	−	0.974361i	$-0.427764\pi$
$272$	−5.47014	−	3.15819i	−0.331676	−	0.191493i
$273$			0.664991i			0.0402471i
$274$	0.694818	−	2.59310i	0.0419755	−	0.156655i
$275$	−11.0871	+	13.5350i	−0.668575	+	0.816191i
$276$	0.204281	−	0.762389i	0.0122963	−	0.0458904i
$277$	7.56331	−	13.1000i	0.454436	−	0.787105i	−0.544220	−	0.838943i	$-0.683174\pi$
$277$	7.56331	−	13.1000i	0.454436	−	0.787105i	0.998656	+	0.0518371i	$0.0165077\pi$
$278$	1.12051	−	1.94078i	0.0672037	−	0.116400i
$279$	3.94291	−	14.7151i	0.236056	−	0.880972i
$280$	8.88681	+	0.724559i	0.531089	+	0.0433007i
$281$	1.01756	−	3.79759i	0.0607026	−	0.226545i	−0.928910	−	0.370306i	$-0.879253\pi$
$281$	1.01756	−	3.79759i	0.0607026	−	0.226545i	0.989612	+	0.143761i	$0.0459195\pi$
$282$		−	0.693875i		−	0.0413196i
$283$	−9.68663	−	5.59258i	−0.575810	−	0.332444i	0.183656	−	0.982990i	$-0.441207\pi$
$283$	−9.68663	−	5.59258i	−0.575810	−	0.332444i	−0.759467	+	0.650546i	$0.774540\pi$
$284$	3.54129	+	6.13370i	0.210137	+	0.363968i
$285$	−0.599679	−	3.28714i	−0.0355219	−	0.194713i
$286$		−	2.31468i		−	0.136870i
$287$	−2.39753	−	0.642417i	−0.141522	−	0.0379207i
$288$			2.93644i			0.173031i
$289$	11.4483	−	19.8291i	0.673430	−	1.16642i
$290$	9.72477	−	14.0647i	0.571058	−	0.825909i
$291$	−0.669779	−	2.49965i	−0.0392631	−	0.146532i
$292$	−8.04947	+	2.15685i	−0.471060	+	0.126220i
$293$	−2.66416	−	9.94277i	−0.155642	−	0.580863i	−0.999050	−	0.0435888i	$-0.986121\pi$
$293$	−2.66416	−	9.94277i	−0.155642	−	0.580863i	0.843408	−	0.537274i	$-0.180546\pi$
$294$	−2.16740	−	0.580753i	−0.126405	−	0.0338702i
$295$	3.44532	+	2.38220i	0.200595	+	0.138697i
$296$	1.80999	+	5.80723i	0.105204	+	0.337538i
$297$	3.70329	+	3.70329i	0.214886	+	0.214886i
$298$	−14.5605	+	8.40649i	−0.843465	+	0.486975i
$299$	−1.03542	+	1.79340i	−0.0598799	+	0.103715i
$300$	1.02398	−	0.735204i	0.0591197	−	0.0424470i
$301$	−18.0738	+	4.84285i	−1.04175	+	0.279137i
$302$			18.8279i			1.08343i
$303$	−1.09350	−	4.08100i	−0.0628200	−	0.234448i
$304$	4.19108	−	4.19108i	0.240375	−	0.240375i
$305$	1.31086	−	16.0778i	0.0750595	−	0.920615i
$306$	−18.5476			−1.06030
$307$	−23.3432	+	23.3432i	−1.33227	+	1.33227i	−0.428929	+	0.903338i	$0.641109\pi$
$307$	−23.3432	+	23.3432i	−1.33227	+	1.33227i	−0.903338	+	0.428929i	$0.858891\pi$
$308$	13.4778	+	3.61136i	0.767968	+	0.205777i
$309$	0.794538	+	2.96526i	0.0451997	+	0.168687i
$310$	−9.54194	−	6.59758i	−0.541946	−	0.374717i
$311$	28.6775	+	7.68411i	1.62615	+	0.435726i	0.952801	−	0.303597i	$-0.0981876\pi$
$311$	28.6775	+	7.68411i	1.62615	+	0.435726i	0.673351	+	0.739323i	$0.264854\pi$
$312$	−0.0431631	+	0.161087i	−0.00244363	+	0.00911974i
$313$	−6.30826	−	10.9262i	−0.356564	−	0.617587i	0.630820	−	0.775929i	$-0.282718\pi$
$313$	−6.30826	−	10.9262i	−0.356564	−	0.617587i	−0.987384	+	0.158342i	$0.949385\pi$
$314$	14.3350	−	3.84105i	0.808970	−	0.216763i
$315$	23.6632	−	11.2052i	1.33327	−	0.631342i
$316$	−11.5630	−	3.09829i	−0.650467	−	0.174292i
$317$	−23.1074	−	6.19161i	−1.29784	−	0.347755i	−0.457207	−	0.889360i	$-0.651150\pi$
$317$	−23.1074	−	6.19161i	−1.29784	−	0.347755i	−0.840633	+	0.541605i	$0.817817\pi$
$318$	−1.72850	−	2.99385i	−0.0969296	−	0.167887i
$319$	18.9215	−	18.9215i	1.05940	−	1.05940i
$320$	2.10570	+	0.752339i	0.117712	+	0.0420571i
$321$	2.21517	−	1.27893i	0.123639	−	0.0713830i
$322$	−8.82706	−	8.82706i	−0.491913	−	0.491913i
$323$	26.4725	+	26.4725i	1.47297	+	1.47297i
$324$	4.21599	+	7.30231i	0.234222	+	0.405684i
$325$	−3.09433	+	1.16788i	−0.171642	+	0.0647821i
$326$	−5.19470	−	2.99916i	−0.287708	−	0.166108i
$327$	1.36770			0.0756338
$328$	−0.539078	−	0.311237i	−0.0297656	−	0.0171852i
$329$	−9.50408	−	5.48719i	−0.523977	−	0.302518i
$330$	1.78291	−	0.844259i	0.0981461	−	0.0464749i
$331$	−1.04271	+	3.89145i	−0.0573125	+	0.213893i	−0.988643	−	0.150281i	$-0.951982\pi$
$331$	−1.04271	+	3.89145i	−0.0573125	+	0.213893i	0.931331	+	0.364174i	$0.118649\pi$
$332$	0.132736	−	0.132736i	0.00728483	−	0.00728483i
$333$	13.1291	+	12.1105i	0.719473	+	0.663651i
$334$		−	11.3608i		−	0.621634i
$335$	1.57775	−	19.3513i	0.0862019	−	1.05728i
$336$	−0.870626	−	0.502656i	−0.0474965	−	0.0274221i
$337$	5.65427	+	21.1020i	0.308008	+	1.14950i	0.930325	+	0.366735i	$0.119525\pi$
$337$	5.65427	+	21.1020i	0.308008	+	1.14950i	−0.622318	+	0.782765i	$0.713809\pi$
$338$	−6.28122	+	10.8794i	−0.341654	+	0.591761i
$339$	1.20513	−	1.20513i	0.0654536	−	0.0654536i
$340$	−4.75206	+	13.3004i	−0.257717	+	0.721316i
$341$	−12.8369	−	12.8369i	−0.695157	−	0.695157i
$342$	4.50462	−	16.8115i	0.243582	−	0.909060i
$343$	−5.35745	+	5.35745i	−0.289275	+	0.289275i
$344$	−4.69251			−0.253003
$345$	−1.75905	−	0.143419i	−0.0947043	−	0.00772142i
$346$	8.94596	−	2.39706i	0.480938	−	0.128867i
$347$	19.5229			1.04805			0.524023	−	0.851704i	$-0.324430\pi$
$347$	19.5229			1.04805			0.524023	+	0.851704i	$0.324430\pi$
$348$	−1.66965	+	0.963975i	−0.0895028	+	0.0516745i
$349$	−26.8051	+	15.4759i	−1.43484	+	0.828408i	−0.997485	−	0.0708792i	$-0.977420\pi$
$349$	−26.8051	+	15.4759i	−1.43484	+	0.828408i	−0.437359	+	0.899287i	$0.644086\pi$
$350$	−1.97248	−	19.8396i	−0.105433	−	1.06047i
$351$	0.256235	+	0.956281i	0.0136768	+	0.0510425i
$352$	3.03044	+	1.74963i	0.161523	+	0.0932554i
$353$	1.70801	−	0.986123i	0.0909084	−	0.0524860i	−0.453857	−	0.891075i	$-0.649952\pi$
$353$	1.70801	−	0.986123i	0.0909084	−	0.0524860i	0.544765	+	0.838589i	$0.316619\pi$
$354$	−0.236137	−	0.409002i	−0.0125506	−	0.0217382i
$355$	12.0715	−	10.2515i	0.640690	−	0.544093i
$356$	0.843737	+	0.843737i	0.0447180	+	0.0447180i
$357$	3.17497	−	5.49920i	0.168037	−	0.291049i
$358$	−0.666433	+	2.48716i	−0.0352221	+	0.131451i
$359$		−	25.4844i		−	1.34501i	−0.740091	−	0.672507i	$-0.765218\pi$
$359$		−	25.4844i		−	1.34501i	0.740091	−	0.672507i	$-0.234782\pi$
$360$	6.45946	−	1.17841i	0.340444	−	0.0621077i
$361$	−13.9693	+	8.06517i	−0.735226	+	0.424483i
$362$	18.2283			0.958058
$363$	0.303132	−	0.0812240i	0.0159103	−	0.00426316i
$364$	1.86509	+	1.86509i	0.0977572	+	0.0977572i
$365$	7.97486	+	16.8414i	0.417423	+	0.881518i
$366$	−0.909395	+	1.57512i	−0.0475349	+	0.0823328i
$367$	10.9143	−	2.92447i	0.569720	−	0.152656i	0.0375519	−	0.999295i	$-0.488044\pi$
$367$	10.9143	−	2.92447i	0.569720	−	0.152656i	0.532168	+	0.846639i	$0.321377\pi$
$368$	−1.56531	−	2.71120i	−0.0815976	−	0.141331i
$369$	−1.82785			−0.0951543
$370$	12.0482	−	6.31203i	0.626354	−	0.328147i
$371$	−54.6762			−2.83865
$372$	0.653990	+	1.13274i	0.0339078	+	0.0587300i
$373$	15.1322	−	4.05465i	0.783514	−	0.209942i	0.155180	−	0.987886i	$-0.450404\pi$
$373$	15.1322	−	4.05465i	0.783514	−	0.209942i	0.628333	+	0.777944i	$0.283737\pi$
$374$	−11.0513	+	19.1414i	−0.571449	+	0.989779i
$375$	−2.02821	−	1.95748i	−0.104736	−	0.101084i
$376$	−1.94610	−	1.94610i	−0.100362	−	0.100362i
$377$	4.88600	−	1.30920i	0.251642	−	0.0674272i
$378$	−5.96797			−0.306959
$379$	25.0754	−	14.4773i	1.28804	−	0.743648i	0.309733	−	0.950824i	$-0.399760\pi$
$379$	25.0754	−	14.4773i	1.28804	−	0.743648i	0.978304	+	0.207175i	$0.0664270\pi$
$380$	−10.9013	−	7.53748i	−0.559225	−	0.386664i
$381$			4.97193i			0.254720i
$382$	2.68209	−	10.0097i	0.137227	−	0.512140i
$383$	14.7843	−	25.6071i	0.755440	−	1.30846i	−0.189715	−	0.981839i	$-0.560756\pi$
$383$	14.7843	−	25.6071i	0.755440	−	1.30846i	0.945155	−	0.326622i	$-0.105910\pi$
$384$	−0.178273	−	0.178273i	−0.00909747	−	0.00909747i
$385$	2.53542	−	31.0972i	0.129217	−	1.58486i
$386$	−4.26907	−	7.39425i	−0.217290	−	0.376358i
$387$	−11.9332	+	6.88963i	−0.606598	+	0.350219i
$388$	−8.88924	−	5.13221i	−0.451283	−	0.260548i
$389$	4.70574	+	17.5620i	0.238590	+	0.890431i	0.976497	+	0.215529i	$0.0691475\pi$
$389$	4.70574	+	17.5620i	0.238590	+	0.890431i	−0.737907	+	0.674902i	$0.764186\pi$
$390$	0.371674	+	0.0303033i	0.0188205	+	0.00153447i
$391$	17.1250	−	9.88712i	0.866048	−	0.500013i
$392$	−7.70770	+	4.45004i	−0.389298	+	0.224761i
$393$	−0.107558			−0.00542556
$394$	−24.3381	+	6.52137i	−1.22614	+	0.328542i
$395$	−2.17520	+	26.6791i	−0.109446	+	1.34237i
$396$	10.2753			0.516355
$397$	13.2144	−	13.2144i	0.663210	−	0.663210i	−0.292925	−	0.956135i	$-0.594629\pi$
$397$	13.2144	−	13.2144i	0.663210	−	0.663210i	0.956135	+	0.292925i	$0.0946287\pi$
$398$	1.55593	−	5.80682i	0.0779918	−	0.291069i
$399$	4.21335	+	4.21335i	0.210931	+	0.210931i
$400$	0.809936	−	4.93396i	0.0404968	−	0.246698i
$401$	−20.1272	+	20.1272i	−1.00511	+	1.00511i	−0.00511921	+	0.999987i	$0.501630\pi$
$401$	−20.1272	+	20.1272i	−1.00511	+	1.00511i	−0.999987	+	0.00511921i	$0.998370\pi$
$402$	−1.09455	+	1.89582i	−0.0545912	+	0.0945548i
$403$	−0.888200	−	3.31481i	−0.0442444	−	0.165122i
$404$	−14.5128	−	8.37900i	−0.722041	−	0.416871i
$405$	14.3714	−	12.2046i	0.714122	−	0.606453i
$406$			30.4926i			1.51332i
$407$	20.3210	−	6.33362i	1.00727	−	0.313946i
$408$	1.12604	−	1.12604i	0.0557473	−	0.0557473i
$409$	8.80310	−	32.8536i	0.435285	−	1.62451i	−0.305098	−	0.952321i	$-0.598689\pi$
$409$	8.80310	−	32.8536i	0.435285	−	1.62451i	0.740383	−	0.672185i	$-0.234644\pi$
$410$	−0.468311	+	1.31074i	−0.0231283	+	0.0647331i
$411$	0.586148	+	0.338412i	0.0289125	+	0.0166927i
$412$	10.5450	+	6.08817i	0.519516	+	0.299943i
$413$	−7.46953			−0.367551
$414$	−7.96128	−	4.59645i	−0.391276	−	0.225903i
$415$	−0.345255	−	0.238720i	−0.0169479	−	0.0117183i
$416$	0.330739	+	0.572856i	0.0162158	+	0.0280866i
$417$	0.399514	+	0.399514i	0.0195643	+	0.0195643i
$418$	−14.6657	−	14.6657i	−0.717321	−	0.717321i
$419$	29.5974	−	17.0881i	1.44593	−	0.834807i	0.447692	−	0.894188i	$-0.352246\pi$
$419$	29.5974	−	17.0881i	1.44593	−	0.834807i	0.998235	+	0.0593810i	$0.0189127\pi$
$420$	−0.756336	+	2.11689i	−0.0369054	+	0.103294i
$421$	−9.40351	+	9.40351i	−0.458299	+	0.458299i	−0.898097	−	0.439798i	$-0.855050\pi$
$421$	−9.40351	+	9.40351i	−0.458299	+	0.458299i	0.439798	+	0.898097i	$0.355050\pi$
$422$	0.121029	+	0.209629i	0.00589161	+	0.0102046i
$423$	−7.80628	−	2.09169i	−0.379555	−	0.101701i
$424$	−13.2447	−	3.54891i	−0.643220	−	0.172350i
$425$	31.1648	+	5.11586i	1.51171	+	0.248156i
$426$	−1.72479	+	0.462157i	−0.0835664	+	0.0223916i
$427$	14.3831	+	24.9122i	0.696045	+	1.20559i
$428$	2.62586	−	9.79986i	0.126926	−	0.473694i
$429$	0.563683	+	0.151038i	0.0272149	+	0.00729220i
$430$	1.88313	+	10.3224i	0.0908128	+	0.497790i
$431$	−10.1909	−	38.0331i	−0.490881	−	1.83199i	−0.551976	−	0.833860i	$-0.686126\pi$
$431$	−10.1909	−	38.0331i	−0.490881	−	1.83199i	0.0610956	−	0.998132i	$-0.480541\pi$
$432$	−1.44568	−	0.387368i	−0.0695551	−	0.0186372i
$433$	8.24704	−	8.24704i	0.396328	−	0.396328i	−0.480608	−	0.876936i	$-0.659584\pi$
$433$	8.24704	−	8.24704i	0.396328	−	0.396328i	0.876936	+	0.480608i	$0.159584\pi$
$434$	20.6871			0.993013
$435$	2.79056	+	3.28599i	0.133797	+	0.157551i
$436$	3.83595	−	3.83595i	0.183709	−	0.183709i
$437$	4.80252	+	17.9232i	0.229736	+	0.857385i
$438$		−	2.10099i		−	0.100389i
$439$	−17.2173	+	4.61335i	−0.821735	+	0.220183i	−0.645105	−	0.764094i	$-0.723186\pi$
$439$	−17.2173	+	4.61335i	−0.821735	+	0.220183i	−0.176630	+	0.984277i	$0.556520\pi$
$440$	2.63263	−	7.36839i	0.125505	−	0.351274i
$441$	−13.0673	+	22.6332i	−0.622251	+	1.07777i
$442$	−3.61837	+	2.08907i	−0.172109	+	0.0993669i
$443$	5.43590	+	5.43590i	0.258267	+	0.258267i	0.824349	−	0.566082i	$-0.191541\pi$
$443$	5.43590	+	5.43590i	0.258267	+	0.258267i	−0.566082	+	0.824349i	$0.691541\pi$
$444$	−1.53232	+	0.0618434i	−0.0727206	+	0.00293496i
$445$	1.51742	−	2.19462i	0.0719328	−	0.104035i
$446$	−22.8274	−	6.11657i	−1.08091	−	0.289628i
$447$	−1.09709	−	4.09439i	−0.0518905	−	0.193658i
$448$	−3.85162	+	1.03204i	−0.181972	+	0.0487592i
$449$	−1.11262	−	4.15237i	−0.0525080	−	0.195962i	0.934690	−	0.355465i	$-0.115678\pi$
$449$	−1.11262	−	4.15237i	−0.0525080	−	0.195962i	−0.987197	+	0.159503i	$0.949011\pi$
$450$	−5.18445	−	13.7364i	−0.244397	−	0.647539i
$451$	−1.08910	+	1.88637i	−0.0512835	+	0.0888257i
$452$		−	6.76000i		−	0.317964i
$453$	−4.58509	−	1.22857i	−0.215426	−	0.0577233i
$454$		−	0.384372i		−	0.0180395i
$455$	3.35428	−	4.85122i	0.157251	−	0.227429i
$456$	0.747158	+	1.29412i	0.0349889	+	0.0606025i
$457$	10.5579	+	6.09561i	0.493878	+	0.285141i	0.726182	−	0.687503i	$-0.241293\pi$
$457$	10.5579	+	6.09561i	0.493878	+	0.285141i	−0.232304	+	0.972643i	$0.574626\pi$
$458$			11.1456i			0.520798i
$459$	2.44676	−	9.13143i	0.114205	−	0.426219i
$460$	−5.33583	+	4.53134i	−0.248784	+	0.211275i
$461$	1.32575	−	4.94778i	0.0617465	−	0.230441i	−0.928156	−	0.372192i	$-0.878606\pi$
$461$	1.32575	−	4.94778i	0.0617465	−	0.230441i	0.989902	+	0.141751i	$0.0452731\pi$
$462$	−1.75892	+	3.04654i	−0.0818324	+	0.141738i
$463$	14.1538	−	24.5151i	0.657782	−	1.13931i	−0.323406	−	0.946260i	$-0.604828\pi$
$463$	14.1538	−	24.5151i	0.657782	−	1.13931i	0.981188	−	0.193052i	$-0.0618387\pi$
$464$	−1.97920	+	7.38649i	−0.0918823	+	0.342909i
$465$	2.22932	−	1.89320i	0.103382	−	0.0877950i
$466$	3.11056	−	11.6088i	0.144094	−	0.537766i
$467$		−	8.14480i		−	0.376896i	−0.982083	−	0.188448i	$-0.939654\pi$
$467$		−	8.14480i		−	0.376896i	0.982083	−	0.188448i	$-0.0603457\pi$
$468$	1.68216	+	0.971193i	0.0777577	+	0.0448934i
$469$	17.3115	+	29.9844i	0.799371	+	1.38455i
$470$	−3.49997	+	5.06194i	−0.161442	+	0.233490i
$471$			3.74158i			0.172403i
$472$	−1.80941	−	0.484830i	−0.0832849	−	0.0223161i
$473$			16.4203i			0.755005i
$474$	1.50902	−	2.61371i	0.0693118	−	0.120052i
$475$	−12.2059	+	27.0051i	−0.560045	+	1.23908i
$476$	−6.51875	−	24.3283i	−0.298786	−	1.11509i
$477$	−38.8923	+	10.4212i	−1.78075	+	0.477152i
$478$	−3.80588	−	14.2037i	−0.174077	−	0.649663i
$479$	−28.2666	−	7.57402i	−1.29153	−	0.346066i	−0.453291	−	0.891362i	$-0.649750\pi$
$479$	−28.2666	−	7.57402i	−1.29153	−	0.346066i	−0.838243	+	0.545297i	$0.816417\pi$
$480$	−0.320617	+	0.463701i	−0.0146341	+	0.0211650i
$481$	3.92534	+	0.883810i	0.178980	+	0.0402983i
$482$	13.2635	+	13.2635i	0.604136	+	0.604136i
$483$	2.72561	−	1.57363i	0.124019	−	0.0716026i
$484$	0.622382	−	1.07800i	0.0282901	−	0.0489999i
$485$	−7.72232	+	21.6138i	−0.350653	+	0.981432i
$486$	−6.39043	+	1.71231i	−0.289876	+	0.0776720i
$487$			11.8536i			0.537137i	0.963261	+	0.268569i	$0.0865506\pi$
$487$			11.8536i			0.537137i	−0.963261	+	0.268569i	$0.913449\pi$
$488$	1.86714	+	6.96827i	0.0845216	+	0.315439i
$489$	1.06934	−	1.06934i	0.0483572	−	0.0483572i
$490$	12.8822	+	15.1693i	0.581958	+	0.685278i
$491$	34.5719			1.56021			0.780103	−	0.625651i	$-0.215167\pi$
$491$	34.5719			1.56021			0.780103	+	0.625651i	$0.215167\pi$
$492$	0.110970	−	0.110970i	0.00500293	−	0.00500293i
$493$	−46.6559	−	12.5014i	−2.10127	−	0.563035i
$494$	−1.01473	−	3.78704i	−0.0456550	−	0.170387i
$495$	−4.12356	−	22.6033i	−0.185340	−	1.01594i
$496$	5.01122	+	1.34275i	0.225011	+	0.0602914i
$497$	−7.30950	+	27.2794i	−0.327876	+	1.22365i
$498$	0.0236633	+	0.0409860i	0.00106038	+	0.00183662i
$499$	21.7099	−	5.81715i	0.971868	−	0.260411i	0.262252	−	0.964999i	$-0.415535\pi$
$499$	21.7099	−	5.81715i	0.971868	−	0.260411i	0.709617	+	0.704588i	$0.248868\pi$
$500$	−11.1786	+	0.198366i	−0.499921	+	0.00887119i
$501$	2.76664	+	0.741320i	0.123604	+	0.0331197i
$502$	−16.3011	−	4.36788i	−0.727556	−	0.194948i
$503$	−1.05703	−	1.83083i	−0.0471306	−	0.0816326i	0.841498	−	0.540261i	$-0.181674\pi$
$503$	−1.05703	−	1.83083i	−0.0471306	−	0.0816326i	−0.888628	+	0.458628i	$0.848341\pi$
$504$	−8.27953	+	8.27953i	−0.368799	+	0.368799i
$505$	−12.6077	+	35.2874i	−0.561035	+	1.57027i
$506$	−9.48719	+	5.47743i	−0.421757	+	0.243501i
$507$	−2.23955	−	2.23955i	−0.0994618	−	0.0994618i
$508$	13.9447	+	13.9447i	0.618695	+	0.618695i
$509$	1.98984	+	3.44650i	0.0881980	+	0.152763i	0.906749	−	0.421670i	$-0.138556\pi$
$509$	1.98984	+	3.44650i	0.0881980	+	0.152763i	−0.818551	+	0.574433i	$0.805223\pi$
$510$	−2.92891	−	2.02514i	−0.129694	−	0.0896745i
$511$	−28.7776	−	16.6147i	−1.27304	−	0.734993i
$512$	−1.00000			−0.0441942
$513$	7.68244	+	4.43546i	0.339188	+	0.195830i
$514$	19.0959	+	11.0250i	0.842285	+	0.486294i
$515$	9.16075	−	25.6398i	0.403671	−	1.12982i
$516$	0.306198	−	1.14275i	0.0134796	−	0.0503066i
$517$	−6.80989	+	6.80989i	−0.299499	+	0.299499i
$518$	−11.2705	+	21.4774i	−0.495199	+	0.943662i
$519$			2.33499i			0.102495i
$520$	1.12742	−	0.957437i	0.0494406	−	0.0419864i
$521$	−8.52199	−	4.92017i	−0.373355	−	0.215557i	0.301568	−	0.953445i	$-0.402490\pi$
$521$	−8.52199	−	4.92017i	−0.373355	−	0.215557i	−0.674923	+	0.737888i	$0.735823\pi$
$522$	5.81181	+	21.6900i	0.254376	+	0.949344i
$523$	−4.78893	+	8.29467i	−0.209405	+	0.362701i	−0.951527	−	0.307564i	$-0.900486\pi$
$523$	−4.78893	+	8.29467i	−0.209405	+	0.362701i	0.742122	+	0.670265i	$0.233819\pi$
$524$	−0.301665	+	0.301665i	−0.0131783	+	0.0131783i
$525$	4.96017	+	0.814238i	0.216480	+	0.0355363i
$526$	−1.84675	−	1.84675i	−0.0805222	−	0.0805222i
$527$	−8.48133	+	31.6528i	−0.369453	+	1.37882i
$528$	−0.623823	+	0.623823i	−0.0271484	+	0.0271484i
$529$	−13.1992			−0.573877
$530$	−2.49157	+	30.5594i	−0.108227	+	1.32742i
$531$	−5.31322	+	1.42367i	−0.230574	+	0.0617822i
$532$	23.6342			1.02467
$533$	−0.356588	+	0.205876i	−0.0154455	+	0.00891748i
$534$	−0.260528	+	0.150416i	−0.0112741	+	0.00650913i
$535$	−22.6111	−	1.84353i	−0.977564	−	0.0797027i
$536$	2.24730	+	8.38704i	0.0970686	+	0.362265i
$537$	−0.562202	−	0.324587i	−0.0242608	−	0.0140070i
$538$	3.52376	−	2.03444i	0.151920	−	0.0877111i
$539$	15.5718	+	26.9712i	0.670726	+	1.16173i
$540$	−0.271958	+	3.33560i	−0.0117032	+	0.143541i
$541$	25.9549	+	25.9549i	1.11589	+	1.11589i	0.992338	+	0.123550i	$0.0394278\pi$
$541$	25.9549	+	25.9549i	1.11589	+	1.11589i	0.123550	+	0.992338i	$0.460572\pi$
$542$	12.0391	−	20.8524i	0.517125	−	0.895686i
$543$	−1.18944	+	4.43906i	−0.0510439	+	0.190498i
$544$		−	6.31638i		−	0.270812i
$545$	−9.97758	−	6.89879i	−0.427393	−	0.295512i
$546$	−0.575899	+	0.332496i	−0.0246462	+	0.0142295i
$547$	20.4472			0.874257			0.437129	−	0.899399i	$-0.355995\pi$
$547$	20.4472			0.874257			0.437129	+	0.899399i	$0.355995\pi$
$548$	2.59310	−	0.694818i	0.110772	−	0.0296812i
$549$	14.9792	+	14.9792i	0.639295	+	0.639295i
$550$	−17.2652	−	2.83417i	−0.736190	−	0.120849i
$551$	22.6624	−	39.2524i	0.965450	−	1.67221i
$552$	0.762389	−	0.204281i	0.0324494	−	0.00869480i
$553$	−23.8668	−	41.3386i	−1.01492	−	1.75790i
$554$	15.1266			0.642669
$555$	0.750969	+	3.34591i	0.0318769	+	0.142026i
$556$	2.24102			0.0950404
$557$	6.28738	+	10.8901i	0.266405	+	0.461426i	0.967931	−	0.251217i	$-0.0808309\pi$
$557$	6.28738	+	10.8901i	0.266405	+	0.461426i	−0.701526	+	0.712644i	$0.747498\pi$
$558$	14.7151	−	3.94291i	0.622942	−	0.166917i
$559$	−1.55199	+	2.68813i	−0.0656423	+	0.113696i
$560$	3.81592	+	8.05849i	0.161252	+	0.340533i
$561$	−3.94030	−	3.94030i	−0.166360	−	0.166360i
$562$	3.79759	−	1.01756i	0.160192	−	0.0429232i
$563$	−22.4435			−0.945881			−0.472941	−	0.881094i	$-0.656808\pi$
$563$	−22.4435			−0.945881			−0.472941	+	0.881094i	$0.656808\pi$
$564$	0.600913	−	0.346937i	0.0253030	−	0.0146087i
$565$	−14.8704	+	2.71283i	−0.625602	+	0.114130i
$566$		−	11.1852i		−	0.470147i
$567$	−8.70213	+	32.4768i	−0.365455	+	1.36390i
$568$	−3.54129	+	6.13370i	−0.148589	+	0.257364i
$569$	−9.44384	−	9.44384i	−0.395906	−	0.395906i	0.480880	−	0.876786i	$-0.340317\pi$
$569$	−9.44384	−	9.44384i	−0.395906	−	0.395906i	−0.876786	+	0.480880i	$0.840317\pi$
$570$	2.54691	−	2.16291i	0.106678	−	0.0905942i
$571$	−11.6441	−	20.1682i	−0.487292	−	0.844015i	0.512601	−	0.858627i	$-0.328682\pi$
$571$	−11.6441	−	20.1682i	−0.487292	−	0.844015i	−0.999893	+	0.0146123i	$0.995349\pi$
$572$	2.00457	−	1.15734i	0.0838152	−	0.0483907i
$573$	2.26260	+	1.30631i	0.0945216	+	0.0545721i
$574$	−0.642417	−	2.39753i	−0.0268140	−	0.100071i
$575$	12.1092	+	9.91911i	0.504988	+	0.413655i
$576$	−2.54303	+	1.46822i	−0.105960	+	0.0611758i
$577$	−14.4562	+	8.34631i	−0.601821	+	0.347461i	−0.769757	−	0.638336i	$-0.779623\pi$
$577$	−14.4562	+	8.34631i	−0.601821	+	0.347461i	0.167937	+	0.985798i	$0.446290\pi$
$578$	22.8966			0.952374
$579$	2.07926	−	0.557136i	0.0864111	−	0.0231538i
$580$	17.0428	+	1.38953i	0.707663	+	0.0576972i
$581$	0.748519			0.0310538
$582$	1.82987	−	1.82987i	0.0758506	−	0.0758506i
$583$	−12.4185	+	46.3466i	−0.514323	+	1.91948i
$584$	−5.89262	−	5.89262i	−0.243839	−	0.243839i
$585$	1.46133	−	4.09009i	0.0604187	−	0.169104i
$586$	7.27861	−	7.27861i	0.300677	−	0.300677i
$587$	−7.09344	+	12.2862i	−0.292777	+	0.507105i	−0.974465	−	0.224538i	$-0.927913\pi$
$587$	−7.09344	+	12.2862i	−0.292777	+	0.507105i	0.681688	+	0.731643i	$0.261246\pi$
$588$	−0.580753	−	2.16740i	−0.0239499	−	0.0893821i
$589$	−26.6300	−	15.3749i	−1.09727	−	0.633510i
$590$	−0.340383	+	4.17484i	−0.0140133	+	0.171875i
$591$		−	6.35249i		−	0.261306i
$592$	−4.12421	+	4.47111i	−0.169504	+	0.183762i
$593$	−14.1130	+	14.1130i	−0.579551	+	0.579551i	−0.934780	−	0.355228i	$-0.884403\pi$
$593$	−14.1130	+	14.1130i	−0.579551	+	0.579551i	0.355228	+	0.934780i	$0.384403\pi$
$594$	−1.35550	+	5.05878i	−0.0556167	+	0.207564i
$595$	−50.9004	+	24.1028i	−2.08671	+	0.988118i
$596$	−14.5605	−	8.40649i	−0.596420	−	0.344343i
$597$	1.31258	+	0.757819i	0.0537204	+	0.0310155i
$598$	−2.07084			−0.0846829
$599$	−5.57615	−	3.21939i	−0.227836	−	0.131541i	0.381738	−	0.924271i	$-0.375326\pi$
$599$	−5.57615	−	3.21939i	−0.227836	−	0.131541i	−0.609573	+	0.792730i	$0.708659\pi$
$600$	1.14870	+	0.519194i	0.0468954	+	0.0211960i
$601$	−0.410804	−	0.711534i	−0.0167571	−	0.0290241i	0.857525	−	0.514442i	$-0.172001\pi$
$601$	−0.410804	−	0.711534i	−0.0167571	−	0.0290241i	−0.874282	+	0.485418i	$0.838668\pi$
$602$	−13.2309	−	13.2309i	−0.539252	−	0.539252i
$603$	18.0290	+	18.0290i	0.734196	+	0.734196i
$604$	−16.3055	+	9.41397i	−0.663460	+	0.383049i
$605$	−2.62110	−	0.936485i	−0.106563	−	0.0380735i
$606$	2.98750	−	2.98750i	0.121359	−	0.121359i
$607$	−3.39829	−	5.88602i	−0.137932	−	0.238906i	0.788781	−	0.614674i	$-0.210712\pi$
$607$	−3.39829	−	5.88602i	−0.137932	−	0.238906i	−0.926714	+	0.375768i	$0.877379\pi$
$608$	5.72513	+	1.53404i	0.232184	+	0.0622136i
$609$	−7.42573	−	1.98972i	−0.300906	−	0.0806275i
$610$	14.5792	−	6.90369i	0.590297	−	0.279522i
$611$	−1.75848	+	0.471184i	−0.0711407	+	0.0190621i
$612$	−9.27382	−	16.0627i	−0.374872	−	0.649297i
$613$	6.92319	−	25.8377i	0.279625	−	1.04357i	−0.673053	−	0.739594i	$-0.735017\pi$
$613$	6.92319	−	25.8377i	0.279625	−	1.04357i	0.952678	−	0.303981i	$-0.0983159\pi$
$614$	−31.8874	−	8.54421i	−1.28687	−	0.344816i
$615$	−0.288642	−	0.199575i	−0.0116392	−	0.00804765i
$616$	3.61136	+	13.4778i	0.145506	+	0.543036i
$617$	20.8754	+	5.59354i	0.840412	+	0.225188i	0.653251	−	0.757142i	$-0.273405\pi$
$617$	20.8754	+	5.59354i	0.840412	+	0.225188i	0.187161	+	0.982329i	$0.440071\pi$
$618$	−2.17072	+	2.17072i	−0.0873191	+	0.0873191i
$619$	39.9451			1.60553			0.802765	−	0.596296i	$-0.203361\pi$
$619$	39.9451			1.60553			0.802765	+	0.596296i	$0.203361\pi$
$620$	0.942701	−	11.5624i	0.0378598	−	0.464355i
$621$	3.31317	−	3.31317i	0.132953	−	0.132953i
$622$	7.68411	+	28.6775i	0.308105	+	1.14986i
$623$			4.75797i			0.190624i
$624$	−0.161087	+	0.0431631i	−0.00644863	+	0.00172791i
$625$	4.92239	+	24.5106i	0.196896	+	0.980424i
$626$	6.30826	−	10.9262i	0.252129	−	0.436700i
$627$	4.52844	−	2.61449i	0.180848	−	0.104413i
$628$	10.4939	+	10.4939i	0.418754	+	0.418754i
$629$	−28.2412	−	26.0501i	−1.12605	−	1.03868i
$630$	21.5356	+	14.8904i	0.857999	+	0.593246i
$631$	−16.6431	−	4.45951i	−0.662553	−	0.177530i	−0.0881549	−	0.996107i	$-0.528097\pi$
$631$	−16.6431	−	4.45951i	−0.662553	−	0.177530i	−0.574398	+	0.818576i	$0.694764\pi$
$632$	−3.09829	−	11.5630i	−0.123243	−	0.459950i
$633$	−0.0589475	+	0.0157949i	−0.00234295	+	0.000627792i
$634$	−6.19161	−	23.1074i	−0.245900	−	0.917712i
$635$	25.0789	−	36.2711i	0.995226	−	1.43937i
$636$	1.72850	−	2.99385i	0.0685396	−	0.118714i
$637$			5.88720i			0.233260i
$638$	25.8472	+	6.92574i	1.02330	+	0.274192i
$639$			20.7976i			0.822739i
$640$	0.401306	+	2.19976i	0.0158630	+	0.0869532i
$641$	22.6242	+	39.1863i	0.893603	+	1.54777i	0.835524	+	0.549454i	$0.185164\pi$
$641$	22.6242	+	39.1863i	0.893603	+	1.54777i	0.0580792	+	0.998312i	$0.481502\pi$
$642$	2.21517	+	1.27893i	0.0874259	+	0.0504754i
$643$			30.7121i			1.21117i	0.795782	+	0.605584i	$0.207060\pi$
$643$			30.7121i			1.21117i	−0.795782	+	0.605584i	$0.792940\pi$
$644$	3.23093	−	12.0580i	0.127316	−	0.475152i
$645$	−2.63665	−	0.214971i	−0.103818	−	0.00846448i
$646$	−9.68959	+	36.1621i	−0.381232	+	1.42278i
$647$	7.05683	−	12.2228i	0.277433	−	0.480527i	−0.693313	−	0.720636i	$-0.743850\pi$
$647$	7.05683	−	12.2228i	0.277433	−	0.480527i	0.970746	+	0.240109i	$0.0771831\pi$
$648$	−4.21599	+	7.30231i	−0.165620	+	0.286862i
$649$	−1.69654	+	6.33158i	−0.0665951	+	0.248536i
$650$	−2.55857	−	2.09583i	−0.100356	−	0.0822052i
$651$	−1.34989	+	5.03784i	−0.0529062	+	0.197449i
$652$		−	5.99832i		−	0.234912i
$653$	−10.4365	−	6.02550i	−0.408411	−	0.235796i	0.281696	−	0.959504i	$-0.409103\pi$
$653$	−10.4365	−	6.02550i	−0.408411	−	0.235796i	−0.690107	+	0.723708i	$0.742436\pi$
$654$	0.683848	+	1.18446i	0.0267406	+	0.0463160i
$655$	0.784651	+	0.542531i	0.0306589	+	0.0211984i
$656$		−	0.622474i		−	0.0243035i
$657$	−23.6368	−	6.33346i	−0.922158	−	0.247092i
$658$		−	10.9744i		−	0.427826i
$659$	−9.95776	+	17.2473i	−0.387899	+	0.671861i	−0.992167	−	0.124920i	$-0.960132\pi$
$659$	−9.95776	+	17.2473i	−0.387899	+	0.671861i	0.604268	+	0.796782i	$0.293466\pi$
$660$	1.62261	+	1.12192i	0.0631599	+	0.0436706i
$661$	−4.15573	−	15.5094i	−0.161639	−	0.603246i	−0.998445	−	0.0557459i	$-0.982246\pi$
$661$	−4.15573	−	15.5094i	−0.161639	−	0.603246i	0.836806	−	0.547500i	$-0.184420\pi$
$662$	−3.89145	+	1.04271i	−0.151245	+	0.0405261i
$663$	−0.272634	−	1.01748i	−0.0105882	−	0.0395158i
$664$	0.181321	+	0.0485847i	0.00703660	+	0.00188545i
$665$	−9.48456	−	51.9896i	−0.367795	−	2.01607i
$666$	−3.92342	+	17.4254i	−0.152029	+	0.675221i
$667$	−16.9282	−	16.9282i	−0.655463	−	0.655463i
$668$	9.83872	−	5.68039i	0.380672	−	0.219781i
$669$	2.97909	−	5.15993i	0.115178	−	0.199494i
$670$	17.5476	−	8.30930i	0.677924	−	0.321016i
$671$	24.3837	−	6.53361i	0.941324	−	0.252227i
$672$		−	1.00531i		−	0.0387808i
$673$	1.75736	+	6.55857i	0.0677414	+	0.252814i	0.991490	−	0.130186i	$-0.0415575\pi$
$673$	1.75736	+	6.55857i	0.0677414	+	0.252814i	−0.923748	+	0.383000i	$0.874891\pi$
$674$	−15.4477	+	15.4477i	−0.595025	+	0.595025i
$675$	7.44665	−	0.740354i	0.286622	−	0.0284962i
$676$	−12.5624			−0.483171
$677$	−1.03478	+	1.03478i	−0.0397699	+	0.0397699i	−0.726712	−	0.686942i	$-0.758953\pi$
$677$	−1.03478	+	1.03478i	−0.0397699	+	0.0397699i	0.686942	+	0.726712i	$0.258953\pi$
$678$	1.64624	+	0.441107i	0.0632233	+	0.0169406i
$679$	−10.5933	−	39.5346i	−0.406532	−	1.51720i
$680$	−13.8945	+	2.53480i	−0.532831	+	0.0972053i
$681$	0.0936044	+	0.0250812i	0.00358693	+	0.000961115i
$682$	4.69863	−	17.5355i	0.179920	−	0.671470i
$683$	−21.6130	−	37.4349i	−0.827000	−	1.43241i	−0.900381	−	0.435102i	$-0.856712\pi$
$683$	−21.6130	−	37.4349i	−0.827000	−	1.43241i	0.0733807	−	0.997304i	$-0.476621\pi$
$684$	16.8115	−	4.50462i	0.642803	−	0.172238i
$685$	−2.56906	−	5.42536i	−0.0981588	−	0.207292i
$686$	−7.31842	−	1.96096i	−0.279419	−	0.0748700i
$687$	−2.71423	−	0.727276i	−0.103554	−	0.0277473i
$688$	−2.34625	−	4.06383i	−0.0894501	−	0.154932i
$689$	−6.41355	+	6.41355i	−0.244337	+	0.244337i
$690$	−0.755322	−	1.59509i	−0.0287546	−	0.0607242i
$691$	14.9884	−	8.65358i	0.570187	−	0.329198i	−0.187037	−	0.982353i	$-0.559888\pi$
$691$	14.9884	−	8.65358i	0.570187	−	0.329198i	0.757224	+	0.653155i	$0.226555\pi$
$692$	6.54890	+	6.54890i	0.248952	+	0.248952i
$693$	28.9721	+	28.9721i	1.10056	+	1.10056i
$694$	9.76147	+	16.9074i	0.370541	+	0.641795i
$695$	−0.899335	−	4.92971i	−0.0341137	−	0.186994i
$696$	−1.66965	−	0.963975i	−0.0632880	−	0.0365394i
$697$	3.93178			0.148927
$698$	−26.8051	−	15.4759i	−1.01459	−	0.585773i
$699$	2.62406	+	1.51500i	0.0992512	+	0.0573027i
$700$	16.1954	−	11.6280i	0.612129	−	0.439499i
$701$	−4.37941	+	16.3442i	−0.165408	+	0.617311i	0.832580	+	0.553905i	$0.186863\pi$
$701$	−4.37941	+	16.3442i	−0.165408	+	0.617311i	−0.997988	+	0.0634057i	$0.979804\pi$
$702$	−0.700047	+	0.700047i	−0.0264216	+	0.0264216i
$703$	30.4705	−	19.2710i	1.14922	−	0.726819i
$704$			3.49925i			0.131883i
$705$	−1.00433	−	1.18264i	−0.0378253	−	0.0445407i
$706$	1.70801	+	0.986123i	0.0642820	+	0.0371132i
$707$	−17.2949	−	64.5454i	−0.650442	−	2.42748i
$708$	0.236137	−	0.409002i	0.00887458	−	0.0153712i
$709$	20.4544	−	20.4544i	0.768183	−	0.768183i	−0.209604	−	0.977786i	$-0.567217\pi$
$709$	20.4544	−	20.4544i	0.768183	−	0.768183i	0.977786	+	0.209604i	$0.0672173\pi$
$710$	14.9138	+	5.32851i	0.559706	+	0.199975i
$711$	−24.8560	−	24.8560i	−0.932172	−	0.932172i
$712$	−0.308829	+	1.15257i	−0.0115739	+	0.0431943i
$713$	−11.4846	+	11.4846i	−0.430102	+	0.430102i
$714$	6.34993			0.237640
$715$	−3.35031	−	3.94512i	−0.125295	−	0.147539i
$716$	−2.48716	+	0.666433i	−0.0929496	+	0.0249058i
$717$	3.70732			0.138452
$718$	22.0701	−	12.7422i	0.823649	−	0.475534i
$719$	−23.2344	+	13.4144i	−0.866495	+	0.500271i	−0.866182	−	0.499729i	$-0.833433\pi$
$719$	−23.2344	+	13.4144i	−0.866495	+	0.500271i	−0.000313253		1.00000i	$0.500100\pi$
$720$	4.25027	+	5.00485i	0.158398	+	0.186520i
$721$	12.5665	+	46.8987i	0.468000	+	1.74660i
$722$	−13.9693	−	8.06517i	−0.519883	−	0.300155i
$723$	−4.09548	+	2.36453i	−0.152313	+	0.0879378i
$724$	9.11415	+	15.7862i	0.338725	+	0.586688i
$725$	−3.78274	−	38.0477i	−0.140487	−	1.41306i
$726$	0.221908	+	0.221908i	0.00823578	+	0.00823578i
$727$	17.9856	−	31.1519i	0.667047	−	1.15536i	−0.311678	−	0.950188i	$-0.600891\pi$
$727$	17.9856	−	31.1519i	0.667047	−	1.15536i	0.978726	−	0.205172i	$-0.0657755\pi$
$728$	−0.682670	+	2.54776i	−0.0253014	+	0.0944262i
$729$			23.6280i			0.875110i
$730$	−10.5976	+	15.3271i	−0.392236	+	0.567282i
$731$	25.6687	−	14.8198i	0.949391	−	0.548131i
$732$	−1.81879			−0.0672244
$733$	−18.4081	+	4.93244i	−0.679920	+	0.182184i	−0.582219	−	0.813032i	$-0.697815\pi$
$733$	−18.4081	+	4.93244i	−0.679920	+	0.182184i	−0.0977006	+	0.995216i	$0.531149\pi$
$734$	7.98980	+	7.98980i	0.294909	+	0.294909i
$735$	−4.53471	+	2.14731i	−0.167265	+	0.0792048i
$736$	1.56531	−	2.71120i	0.0576982	−	0.0999363i
$737$	29.3484	−	7.86387i	1.08106	−	0.289669i
$738$	−0.913927	−	1.58297i	−0.0336421	−	0.0582699i
$739$	32.0107			1.17753			0.588767	−	0.808303i	$-0.299614\pi$
$739$	32.0107			1.17753			0.588767	+	0.808303i	$0.299614\pi$
$740$	11.4905	+	7.27800i	0.422398	+	0.267545i
$741$	0.988456			0.0363118
$742$	−27.3381	−	47.3510i	−1.00361	−	1.73831i
$743$	−22.6677	+	6.07379i	−0.831597	+	0.222826i	−0.649410	−	0.760438i	$-0.724984\pi$
$743$	−22.6677	+	6.07379i	−0.831597	+	0.222826i	−0.182187	+	0.983264i	$0.558318\pi$
$744$	−0.653990	+	1.13274i	−0.0239764	+	0.0415284i
$745$	−12.6491	+	35.4031i	−0.463426	+	1.29707i
$746$	11.0775	+	11.0775i	0.405576	+	0.405576i
$747$	0.532436	−	0.142666i	0.0194808	−	0.00521987i
$748$	−22.1026			−0.808151
$749$	35.0353	−	20.2277i	1.28016	−	0.739103i
$750$	0.681124	−	2.73522i	0.0248711	−	0.0998760i
$751$			17.8792i			0.652422i	0.945297	+	0.326211i	$0.105772\pi$
$751$			17.8792i			0.652422i	−0.945297	+	0.326211i	$0.894228\pi$
$752$	0.712322	−	2.65842i	0.0259757	−	0.0969426i
$753$	2.12738	−	3.68473i	0.0775261	−	0.134279i
$754$	3.57680	+	3.57680i	0.130259	+	0.130259i
$755$	27.2520	+	32.0903i	0.991801	+	1.16788i
$756$	−2.98399	−	5.16842i	−0.108527	−	0.187973i
$757$	24.7703	−	14.3011i	0.900292	−	0.519784i	0.0229971	−	0.999736i	$-0.492679\pi$
$757$	24.7703	−	14.3011i	0.900292	−	0.519784i	0.877295	+	0.479952i	$0.159346\pi$
$758$	25.0754	+	14.4773i	0.910780	+	0.525839i
$759$	−0.714832	−	2.66779i	−0.0259468	−	0.0968347i
$760$	1.07700	−	13.2095i	0.0390669	−	0.479160i
$761$	7.27829	−	4.20212i	0.263838	−	0.152327i	−0.362246	−	0.932082i	$-0.617990\pi$
$761$	7.27829	−	4.20212i	0.263838	−	0.152327i	0.626084	+	0.779756i	$0.284657\pi$
$762$	−4.30582	+	2.48596i	−0.155983	+	0.0900570i
$763$	21.6316			0.783116
$764$	10.0097	−	2.68209i	0.362138	−	0.0970345i
$765$	−31.6125	+	26.8463i	−1.14295	+	0.970629i
$766$	29.5685			1.06835
$767$	−0.876180	+	0.876180i	−0.0316370	+	0.0316370i
$768$	0.0652525	−	0.243526i	0.00235460	−	0.00878748i
$769$	−19.0077	−	19.0077i	−0.685436	−	0.685436i	0.275784	−	0.961220i	$-0.411063\pi$
$769$	−19.0077	−	19.0077i	−0.685436	−	0.685436i	−0.961220	+	0.275784i	$0.911063\pi$
$770$	28.1987	−	13.3529i	1.01621	−	0.481204i
$771$	−3.93094	+	3.93094i	−0.141569	+	0.141569i
$772$	4.26907	−	7.39425i	0.153647	−	0.266125i
$773$	−11.5772	−	43.2069i	−0.416404	−	1.55404i	−0.782006	−	0.623271i	$-0.785803\pi$
$773$	−11.5772	−	43.2069i	−0.416404	−	1.55404i	0.365602	−	0.930771i	$-0.380863\pi$
$774$	−11.9332	−	6.88963i	−0.428929	−	0.247643i
$775$	−25.8127	+	2.56633i	−0.927221	+	0.0921852i
$776$		−	10.2644i		−	0.368471i
$777$	−4.49487	−	4.14612i	−0.161252	−	0.148741i
$778$	−12.8563	+	12.8563i	−0.460921	+	0.460921i
$779$	−0.954901	+	3.56374i	−0.0342129	+	0.127684i
$780$	0.159594	+	0.337031i	0.00571437	+	0.0120676i
$781$	21.4634	+	12.3919i	0.768019	+	0.443416i
$782$	17.1250	+	9.88712i	0.612388	+	0.353563i
$783$	−11.4452			−0.409016
$784$	−7.70770	−	4.45004i	−0.275275	−	0.158930i
$785$	18.8729	−	27.2955i	0.673602	−	0.974217i
$786$	−0.0537788	−	0.0931476i	−0.00191823	−	0.00332247i
$787$	−3.26612	−	3.26612i	−0.116425	−	0.116425i	0.646494	−	0.762919i	$-0.276234\pi$
$787$	−3.26612	−	3.26612i	−0.116425	−	0.116425i	−0.762919	+	0.646494i	$0.776234\pi$
$788$	−17.8167	−	17.8167i	−0.634694	−	0.634694i
$789$	0.570237	−	0.329227i	0.0203010	−	0.0117208i
$790$	−24.1924	+	11.4558i	−0.860727	+	0.407578i
$791$	19.0604	−	19.0604i	0.677709	−	0.677709i
$792$	5.13767	+	8.89870i	0.182559	+	0.316202i
$793$	4.60935	+	1.23507i	0.163683	+	0.0438587i
$794$	18.0512	+	4.83679i	0.640612	+	0.171651i
$795$	−7.27943	−	2.60084i	−0.258175	−	0.0922423i
$796$	5.80682	−	1.55593i	0.205817	−	0.0551485i
$797$	−13.4129	−	23.2319i	−0.475111	−	0.822916i	0.524483	−	0.851421i	$-0.324259\pi$
$797$	−13.4129	−	23.2319i	−0.475111	−	0.822916i	−0.999594	+	0.0285051i	$0.990925\pi$
$798$	−1.54219	+	5.75554i	−0.0545930	+	0.203744i
$799$	16.7916	+	4.49929i	0.594044	+	0.159174i
$800$	4.67791	−	1.76556i	0.165389	−	0.0624219i
$801$	0.906858	+	3.38444i	0.0320423	+	0.119583i
$802$	−27.4943	−	7.36708i	−0.970858	−	0.260141i
$803$	−20.6198	+	20.6198i	−0.727656	+	0.727656i
$804$	−2.18910			−0.0772037
$805$	−27.8213	−	2.26833i	−0.980572	−	0.0799480i
$806$	2.42661	−	2.42661i	0.0854736	−	0.0854736i
$807$	0.265505	+	0.990879i	0.00934623	+	0.0348806i
$808$		−	16.7580i		−	0.589544i
$809$	−9.47699	+	2.53935i	−0.333193	+	0.0892788i	−0.421537	−	0.906811i	$-0.638509\pi$
$809$	−9.47699	+	2.53935i	−0.333193	+	0.0892788i	0.0883439	+	0.996090i	$0.471843\pi$
$810$	17.7552	+	6.34371i	0.623855	+	0.222895i
$811$	−20.1721	+	34.9390i	−0.708337	+	1.22687i	0.257137	+	0.966375i	$0.417221\pi$
$811$	−20.1721	+	34.9390i	−0.708337	+	1.22687i	−0.965474	+	0.260500i	$0.916113\pi$
$812$	−26.4074	+	15.2463i	−0.926716	+	0.535040i
$813$	4.29251	+	4.29251i	0.150545	+	0.150545i
$814$	15.6456	+	14.4317i	0.548377	+	0.505829i
$815$	−13.1949	+	2.40716i	−0.462196	+	0.0843193i
$816$	1.53820	+	0.412160i	0.0538478	+	0.0144285i
$817$	7.19851	+	26.8652i	0.251844	+	0.939894i
$818$	32.8536	−	8.80310i	1.14870	−	0.307793i
$819$	2.00462	+	7.48133i	0.0700470	+	0.261419i
$820$	−1.36929	+	0.249803i	−0.0478178	+	0.00872349i
$821$	−26.2264	+	45.4255i	−0.915308	+	1.58536i	−0.108858	+	0.994057i	$0.534720\pi$
$821$	−26.2264	+	45.4255i	−0.915308	+	1.58536i	−0.806450	+	0.591303i	$0.798614\pi$
$822$			0.676825i			0.0236070i
$823$	−19.5837	−	5.24743i	−0.682644	−	0.182914i	−0.0992004	−	0.995067i	$-0.531628\pi$
$823$	−19.5837	−	5.24743i	−0.682644	−	0.182914i	−0.583444	+	0.812154i	$0.698295\pi$
$824$			12.1763i			0.424183i
$825$	1.81679	−	4.01958i	0.0632525	−	0.139944i
$826$	−3.73476	−	6.46880i	−0.129949	−	0.225078i
$827$	−39.0298	−	22.5339i	−1.35720	−	0.783580i	−0.367954	−	0.929844i	$-0.619942\pi$
$827$	−39.0298	−	22.5339i	−1.35720	−	0.783580i	−0.989246	+	0.146264i	$0.953275\pi$
$828$		−	9.19289i		−	0.319475i
$829$	4.08225	−	15.2352i	0.141782	−	0.529139i	−0.858095	−	0.513491i	$-0.828352\pi$
$829$	4.08225	−	15.2352i	0.141782	−	0.529139i	0.999878	−	0.0156485i	$-0.00498129\pi$
$830$	0.0341097	−	0.418359i	0.00118396	−	0.0145215i
$831$	−0.987051	+	3.68372i	−0.0342404	+	0.127787i
$832$	−0.330739	+	0.572856i	−0.0114663	+	0.0198602i
$833$	28.1082	−	48.6848i	0.973890	−	1.68683i
$834$	−0.146232	+	0.545746i	−0.00506361	+	0.0188976i
$835$	−16.4438	−	19.3633i	−0.569063	−	0.670094i
$836$	5.36800	−	20.0337i	0.185656	−	0.692878i
$837$			7.76474i			0.268389i
$838$	29.5974	+	17.0881i	1.02243	+	0.590297i
$839$	−23.3984	−	40.5273i	−0.807804	−	1.39916i	−0.914382	−	0.404853i	$-0.867323\pi$
$839$	−23.3984	−	40.5273i	−0.807804	−	1.39916i	0.106578	−	0.994304i	$-0.466010\pi$
$840$	−2.21145	+	0.403438i	−0.0763022	+	0.0139199i
$841$			29.4775i			1.01647i
$842$	−12.8454	−	3.44193i	−0.442683	−	0.118617i
$843$			0.991210i			0.0341391i
$844$	−0.121029	+	0.209629i	−0.00416600	+	0.00721572i
$845$	5.04139	+	27.6344i	0.173429	+	0.950652i
$846$	−2.09169	−	7.80628i	−0.0719137	−	0.268386i
$847$	4.79436	−	1.28464i	0.164736	−	0.0441409i
$848$	−3.54891	−	13.2447i	−0.121870	−	0.454825i
$849$	2.72387	+	0.729860i	0.0934831	+	0.0250487i
$850$	11.1519	+	29.5474i	0.382508	+	1.01347i
$851$	−5.66641	−	18.1803i	−0.194242	−	0.623212i
$852$	−1.26264	−	1.26264i	−0.0432572	−	0.0432572i
$853$	−2.63017	+	1.51853i	−0.0900555	+	0.0519936i	−0.544351	−	0.838857i	$-0.683224\pi$
$853$	−2.63017	+	1.51853i	−0.0900555	+	0.0519936i	0.454296	+	0.890851i	$0.349891\pi$
$854$	−14.3831	+	24.9122i	−0.492178	+	0.852478i
$855$	−16.6556	−	35.1735i	−0.569611	−	1.20291i
$856$	9.79986	−	2.62586i	0.334952	−	0.0897502i
$857$		−	4.69750i		−	0.160464i	−0.996776	−	0.0802318i	$-0.974434\pi$
$857$		−	4.69750i		−	0.160464i	0.996776	−	0.0802318i	$-0.0255661\pi$
$858$	0.151038	+	0.563683i	0.00515637	+	0.0192438i
$859$	−2.19097	+	2.19097i	−0.0747548	+	0.0747548i	−0.743496	−	0.668741i	$-0.766834\pi$
$859$	−2.19097	+	2.19097i	−0.0747548	+	0.0747548i	0.668741	+	0.743496i	$0.266834\pi$
$860$	−7.99789	+	6.79204i	−0.272726	+	0.231607i
$861$	0.625780			0.0213265
$862$	27.8422	−	27.8422i	0.948309	−	0.948309i
$863$	43.9596	+	11.7789i	1.49640	+	0.400959i	0.911893	−	0.410429i	$-0.134621\pi$
$863$	43.9596	+	11.7789i	1.49640	+	0.400959i	0.584508	+	0.811388i	$0.301288\pi$
$864$	−0.387368	−	1.44568i	−0.0131785	−	0.0491829i
$865$	11.7779	−	17.0341i	0.400461	−	0.579178i
$866$	11.2657	+	3.01863i	0.382823	+	0.102577i
$867$	−1.49406	+	5.57592i	−0.0507410	+	0.189368i
$868$	10.3436	+	17.9156i	0.351083	+	0.608094i
$869$	−40.4617	+	10.8417i	−1.37257	+	0.367779i
$870$	−1.45047	+	4.05969i	−0.0491756	+	0.137636i
$871$	5.54783	+	1.48654i	0.187981	+	0.0503694i
$872$	5.24001	+	1.40406i	0.177449	+	0.0475474i
$873$	−15.0704	−	26.1027i	−0.510056	−	0.883443i
$874$	−13.1207	+	13.1207i	−0.443815	+	0.443815i
$875$	−32.0782	−	30.9596i	−1.08444	−	1.04663i
$876$	1.81951	−	1.05050i	0.0614757	−	0.0354930i
$877$	−3.80922	−	3.80922i	−0.128628	−	0.128628i	0.639862	−	0.768490i	$-0.278992\pi$
$877$	−3.80922	−	3.80922i	−0.128628	−	0.128628i	−0.768490	+	0.639862i	$0.778992\pi$
$878$	−12.6039	−	12.6039i	−0.425361	−	0.425361i
$879$	1.29758	+	2.24748i	0.0437663	+	0.0758055i
$880$	7.69752	−	1.40427i	0.259483	−	0.0473380i
$881$	−30.4163	−	17.5608i	−1.02475	−	0.591640i	−0.109274	−	0.994012i	$-0.534852\pi$
$881$	−30.4163	−	17.5608i	−1.02475	−	0.591640i	−0.915476	+	0.402372i	$0.868186\pi$
$882$	−26.1346			−0.879996
$883$	50.6992	+	29.2712i	1.70617	+	0.985055i	0.939203	+	0.343363i	$0.111566\pi$
$883$	50.6992	+	29.2712i	1.70617	+	0.985055i	0.766963	+	0.641692i	$0.221767\pi$
$884$	−3.61837	−	2.08907i	−0.121699	−	0.0702630i
$885$	−0.994470	−	0.355311i	−0.0334287	−	0.0119436i
$886$	−1.98968	+	7.42557i	−0.0668445	+	0.249467i
$887$	35.0984	−	35.0984i	1.17849	−	1.17849i	0.198359	−	0.980130i	$-0.436439\pi$
$887$	35.0984	−	35.0984i	1.17849	−	1.17849i	0.980130	−	0.198359i	$-0.0635611\pi$
$888$	−0.819716	−	1.29610i	−0.0275079	−	0.0434944i
$889$			78.6364i			2.63738i
$890$	2.65931	+	0.216819i	0.0891402	+	0.00726778i
$891$	25.5526	+	14.7528i	0.856045	+	0.494238i
$892$	−6.11657	−	22.8274i	−0.204798	−	0.764316i
$893$	−8.15626	+	14.1271i	−0.272939	+	0.472744i
$894$	2.99730	−	2.99730i	0.100245	−	0.100245i
$895$	2.46411	+	5.20372i	0.0823660	+	0.173941i
$896$	−2.81958	−	2.81958i	−0.0941956	−	0.0941956i
$897$	0.135128	−	0.504303i	0.00451178	−	0.0168382i
$898$	3.03974	−	3.03974i	0.101438	−	0.101438i
$899$	39.6729			1.32317
$900$	9.30383	−	11.3581i	0.310128	−	0.378602i
$901$	83.6586	−	22.4163i	2.78707	−	0.746794i
$902$	−2.17819			−0.0725259
$903$	4.08542	−	2.35872i	0.135954	−	0.0784932i
$904$	5.85434	−	3.38000i	0.194712	−	0.112417i
$905$	31.0682	−	26.3840i	1.03274	−	0.877035i
$906$	−1.22857	−	4.58509i	−0.0408165	−	0.152329i
$907$	11.1454	+	6.43477i	0.370075	+	0.213663i	0.673491	−	0.739195i	$-0.264794\pi$
$907$	11.1454	+	6.43477i	0.370075	+	0.213663i	−0.303416	+	0.952858i	$0.598127\pi$
$908$	0.332876	−	0.192186i	0.0110469	−	0.00637791i
$909$	−24.6044	−	42.6161i	−0.816076	−	1.41349i
$910$	5.87842	+	0.479279i	0.194868	+	0.0158880i
$911$	2.64866	+	2.64866i	0.0877540	+	0.0877540i	0.749621	−	0.661867i	$-0.230236\pi$
$911$	2.64866	+	2.64866i	0.0877540	+	0.0877540i	−0.661867	+	0.749621i	$0.730236\pi$
$912$	−0.747158	+	1.29412i	−0.0247409	+	0.0428524i
$913$	0.170010	−	0.634486i	0.00562651	−	0.0209984i
$914$			12.1912i			0.403250i
$915$	0.729892	+	4.00091i	0.0241295	+	0.132266i
$916$	−9.65234	+	5.57278i	−0.318922	+	0.184130i
$917$	−1.70114			−0.0561765
$918$	9.13143	−	2.44676i	0.301382	−	0.0807551i
$919$	17.4200	+	17.4200i	0.574633	+	0.574633i	0.933420	−	0.358787i	$-0.116809\pi$
$919$	17.4200	+	17.4200i	0.574633	+	0.574633i	−0.358787	+	0.933420i	$0.616809\pi$
$920$	−6.59217	−	2.35530i	−0.217338	−	0.0776518i
$921$	4.16147	−	7.20788i	0.137125	−	0.237508i
$922$	4.94778	−	1.32575i	0.162946	−	0.0436614i
$923$	2.34248	+	4.05730i	0.0771038	+	0.133548i
$924$	−3.51784			−0.115728
$925$	11.3987	−	28.1970i	0.374786	−	0.927111i
$926$	28.3076			0.930245
$927$	17.8775	+	30.9648i	0.587176	+	1.01702i
$928$	−7.38649	+	1.97920i	−0.242473	+	0.0649706i
$929$	5.85449	−	10.1403i	0.192080	−	0.332692i	−0.753860	−	0.657035i	$-0.771810\pi$
$929$	5.85449	−	10.1403i	0.192080	−	0.332692i	0.945939	+	0.324344i	$0.105144\pi$
$930$	2.75422	+	0.984045i	0.0903143	+	0.0322681i
$931$	37.3010	+	37.3010i	1.22249	+	1.22249i
$932$	11.6088	−	3.11056i	0.380258	−	0.101890i
$933$	−7.48512			−0.245052
$934$	7.05360	−	4.07240i	0.230801	−	0.133253i
$935$	8.86991	+	48.6205i	0.290077	+	1.59006i
$936$			1.94239i			0.0634889i
$937$	9.62298	−	35.9134i	0.314369	−	1.17324i	−0.610206	−	0.792242i	$-0.708914\pi$
$937$	9.62298	−	35.9134i	0.314369	−	1.17324i	0.924576	−	0.380999i	$-0.124420\pi$
$938$	−17.3115	+	29.9844i	−0.565240	+	0.979025i
$939$	2.24919	+	2.24919i	0.0733995	+	0.0733995i
$940$	−6.13375	−	0.500097i	−0.200061	−	0.0163114i
$941$	−3.91312	−	6.77772i	−0.127564	−	0.220947i	0.795168	−	0.606389i	$-0.207383\pi$
$941$	−3.91312	−	6.77772i	−0.127564	−	0.220947i	−0.922732	+	0.385441i	$0.874049\pi$
$942$	−3.24030	+	1.87079i	−0.105575	+	0.0609536i
$943$	1.68765	+	0.974367i	0.0549575	+	0.0317298i
$944$	−0.484830	−	1.80941i	−0.0157799	−	0.0588913i
$945$	−10.1718	+	8.63818i	−0.330888	+	0.281000i
$946$	−14.2204	+	8.21013i	−0.462344	+	0.266934i
$947$	−10.0963	+	5.82908i	−0.328085	+	0.189420i	−0.654990	−	0.755637i	$-0.727327\pi$
$947$	−10.0963	+	5.82908i	−0.328085	+	0.189420i	0.326906	+	0.945057i	$0.393994\pi$
$948$	3.01805			0.0980217
$949$	−5.32454	+	1.42671i	−0.172842	+	0.0463129i
$950$	−29.4900	+	2.93193i	−0.956783	+	0.0951243i
$951$	6.03126			0.195577
$952$	17.8095	−	17.8095i	0.577211	−	0.577211i
$953$	−13.3359	+	49.7704i	−0.431994	+	1.61222i	0.316166	+	0.948704i	$0.397604\pi$
$953$	−13.3359	+	49.7704i	−0.431994	+	1.61222i	−0.748160	+	0.663519i	$0.769062\pi$
$954$	−28.4711	−	28.4711i	−0.921787	−	0.921787i
$955$	−9.91690	−	20.9426i	−0.320903	−	0.677686i
$956$	10.3979	−	10.3979i	0.336291	−	0.336291i
$957$	−3.37319	+	5.84254i	−0.109040	+	0.188862i
$958$	−7.57402	−	28.2666i	−0.244705	−	0.913253i
$959$	9.27055	+	5.35235i	0.299362	+	0.172837i
$960$	−0.561885	−	0.0458116i	−0.0181348	−	0.00147856i
$961$			4.08467i			0.131763i
$962$	1.19727	+	3.84135i	0.0386015	+	0.123850i
$963$	21.0660	−	21.0660i	0.678842	−	0.678842i
$964$	−4.85478	+	18.1183i	−0.156362	+	0.583551i
$965$	−17.9788	−	6.42358i	−0.578758	−	0.206783i
$966$	2.72561	+	1.57363i	0.0876949	+	0.0506307i
$967$	−16.3646	−	9.44808i	−0.526249	−	0.303830i	0.213239	−	0.977000i	$-0.431599\pi$
$967$	−16.3646	−	9.44808i	−0.526249	−	0.303830i	−0.739488	+	0.673170i	$0.764932\pi$
$968$	1.24476			0.0400082
$969$	−8.17412	−	4.71933i	−0.262591	−	0.151607i
$970$	−22.5793	+	4.11917i	−0.724976	+	0.132259i
$971$	3.07608	+	5.32793i	0.0987161	+	0.170981i	0.911153	−	0.412067i	$-0.135193\pi$
$971$	3.07608	+	5.32793i	0.0987161	+	0.170981i	−0.812437	+	0.583048i	$0.801860\pi$
$972$	−4.67812	−	4.67812i	−0.150051	−	0.150051i
$973$	6.31874	+	6.31874i	0.202569	+	0.202569i
$974$	−10.2655	+	5.92680i	−0.328928	+	0.189907i
$975$	0.677342	−	0.486321i	0.0216923	−	0.0155747i
$976$	−5.10113	+	5.10113i	−0.163283	+	0.163283i
$977$	2.83965	+	4.91842i	0.0908484	+	0.157354i	0.907868	−	0.419255i	$-0.137709\pi$
$977$	2.83965	+	4.91842i	0.0908484	+	0.157354i	−0.817020	+	0.576609i	$0.804375\pi$
$978$	1.46075	+	0.391406i	0.0467095	+	0.0125158i
$979$	4.03312	+	1.08067i	0.128899	+	0.0345384i
$980$	−6.69589	+	18.7409i	−0.213892	+	0.598657i
$981$	15.3870	−	4.12292i	0.491268	−	0.131635i
$982$	17.2859	+	29.9401i	0.551616	+	0.955427i
$983$	8.54790	−	31.9012i	0.272636	−	1.01749i	−0.684773	−	0.728756i	$-0.740099\pi$
$983$	8.54790	−	31.9012i	0.272636	−	1.01749i	0.957409	−	0.288734i	$-0.0932345\pi$
$984$	0.151588	+	0.0406180i	0.00483246	+	0.00129485i
$985$	−32.0426	+	46.3425i	−1.02096	+	1.47659i
$986$	−12.5014	−	46.6559i	−0.398126	−	1.48583i
$987$	2.67254	+	0.716106i	0.0850680	+	0.0227939i
$988$	2.77231	−	2.77231i	0.0881988	−	0.0881988i
$989$	14.6905			0.467131
$990$	17.5132	−	14.8728i	0.556607	−	0.472687i
$991$	−9.36901	+	9.36901i	−0.297616	+	0.297616i	−0.840080	−	0.542463i	$-0.817492\pi$
$991$	−9.36901	+	9.36901i	−0.297616	+	0.297616i	0.542463	+	0.840080i	$0.317492\pi$
$992$	1.34275	+	5.01122i	0.0426324	+	0.159106i
$993$		−	1.01571i		−	0.0322325i
$994$	−27.2794	+	7.30950i	−0.865251	+	0.231843i
$995$	−5.75299	−	12.1492i	−0.182382	−	0.385156i
$996$	−0.0236633	+	0.0409860i	−0.000749799	+	0.00129869i
$997$	−9.80685	+	5.66199i	−0.310586	+	0.179317i	−0.647189	−	0.762330i	$-0.724055\pi$
$997$	−9.80685	+	5.66199i	−0.310586	+	0.179317i	0.336603	+	0.941647i	$0.390722\pi$
$998$	15.8927	+	15.8927i	0.503076	+	0.503076i
$999$	−8.06137	−	4.23031i	−0.255050	−	0.133841i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.q.f.267.4	✓	32
5.3	odd	4		370.2.r.f.193.4	yes	32
37.14	odd	12		370.2.r.f.347.4	yes	32
185.88	even	12	inner	370.2.q.f.273.4	yes	32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.q.f.267.4	✓	32	1.1	even	1	trivial
370.2.q.f.273.4	yes	32	185.88	even	12	inner
370.2.r.f.193.4	yes	32	5.3	odd	4
370.2.r.f.347.4	yes	32	37.14	odd	12

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 370 = 2 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	370.q (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.500000 + 0.866025i) q^{2} +(-0.243526 + 0.0652525i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(2.10570 + 0.752339i) q^{5} +(-0.178273 - 0.178273i) q^{6} +(-3.85162 + 1.03204i) q^{7} -1.00000 q^{8} +(-2.54303 + 1.46822i) q^{9} +O(q^{10})\)	\(q+(0.500000 + 0.866025i) q^{2} +(-0.243526 + 0.0652525i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(2.10570 + 0.752339i) q^{5} +(-0.178273 - 0.178273i) q^{6} +(-3.85162 + 1.03204i) q^{7} -1.00000 q^{8} +(-2.54303 + 1.46822i) q^{9} +(0.401306 + 2.19976i) q^{10} +3.49925i q^{11} +(0.0652525 - 0.243526i) q^{12} +(-0.330739 + 0.572856i) q^{13} +(-2.81958 - 2.81958i) q^{14} +(-0.561885 - 0.0458116i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(5.47014 - 3.15819i) q^{17} +(-2.54303 - 1.46822i) q^{18} +(1.53404 + 5.72513i) q^{19} +(-1.70440 + 1.44742i) q^{20} +(0.870626 - 0.502656i) q^{21} +(-3.03044 + 1.74963i) q^{22} +3.13063 q^{23} +(0.243526 - 0.0652525i) q^{24} +(3.86797 + 3.16841i) q^{25} -0.661477 q^{26} +(1.05831 - 1.05831i) q^{27} +(1.03204 - 3.85162i) q^{28} +(-5.40729 - 5.40729i) q^{29} +(-0.241269 - 0.509513i) q^{30} +(-3.66847 + 3.66847i) q^{31} +(0.500000 - 0.866025i) q^{32} +(-0.228335 - 0.852158i) q^{33} +(5.47014 + 3.15819i) q^{34} +(-8.88681 - 0.724559i) q^{35} -2.93644i q^{36} +(-1.80999 - 5.80723i) q^{37} +(-4.19108 + 4.19108i) q^{38} +(0.0431631 - 0.161087i) q^{39} +(-2.10570 - 0.752339i) q^{40} +(0.539078 + 0.311237i) q^{41} +(0.870626 + 0.502656i) q^{42} +4.69251 q^{43} +(-3.03044 - 1.74963i) q^{44} +(-6.45946 + 1.17841i) q^{45} +(1.56531 + 2.71120i) q^{46} +(1.94610 + 1.94610i) q^{47} +(0.178273 + 0.178273i) q^{48} +(7.70770 - 4.45004i) q^{49} +(-0.809936 + 4.93396i) q^{50} +(-1.12604 + 1.12604i) q^{51} +(-0.330739 - 0.572856i) q^{52} +(13.2447 + 3.54891i) q^{53} +(1.44568 + 0.387368i) q^{54} +(-2.63263 + 7.36839i) q^{55} +(3.85162 - 1.03204i) q^{56} +(-0.747158 - 1.29412i) q^{57} +(1.97920 - 7.38649i) q^{58} +(1.80941 + 0.484830i) q^{59} +(0.320617 - 0.463701i) q^{60} +(-1.86714 - 6.96827i) q^{61} +(-5.01122 - 1.34275i) q^{62} +(8.27953 - 8.27953i) q^{63} +1.00000 q^{64} +(-1.12742 + 0.957437i) q^{65} +(0.623823 - 0.623823i) q^{66} +(-2.24730 - 8.38704i) q^{67} +6.31638i q^{68} +(-0.762389 + 0.204281i) q^{69} +(-3.81592 - 8.05849i) q^{70} +(3.54129 - 6.13370i) q^{71} +(2.54303 - 1.46822i) q^{72} +(5.89262 + 5.89262i) q^{73} +(4.12421 - 4.47111i) q^{74} +(-1.14870 - 0.519194i) q^{75} +(-5.72513 - 1.53404i) q^{76} +(-3.61136 - 13.4778i) q^{77} +(0.161087 - 0.0431631i) q^{78} +(3.09829 + 11.5630i) q^{79} +(-0.401306 - 2.19976i) q^{80} +(4.21599 - 7.30231i) q^{81} +0.622474i q^{82} +(-0.181321 - 0.0485847i) q^{83} +1.00531i q^{84} +(13.8945 - 2.53480i) q^{85} +(2.34625 + 4.06383i) q^{86} +(1.66965 + 0.963975i) q^{87} -3.49925i q^{88} +(0.308829 - 1.15257i) q^{89} +(-4.25027 - 5.00485i) q^{90} +(0.682670 - 2.54776i) q^{91} +(-1.56531 + 2.71120i) q^{92} +(0.653990 - 1.13274i) q^{93} +(-0.712322 + 2.65842i) q^{94} +(-1.07700 + 13.2095i) q^{95} +(-0.0652525 + 0.243526i) q^{96} +10.2644i q^{97} +(7.70770 + 4.45004i) q^{98} +(-5.13767 - 8.89870i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9}+O(q^{10}) \) 32 * q + 16 * q^2 - 2 * q^3 - 16 * q^4 + 6 * q^5 + 8 * q^6 - 10 * q^7 - 32 * q^8 + 12 * q^9	\( 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9} + 6 q^{10} + 10 q^{12} + 10 q^{13} - 8 q^{14} - 8 q^{15} - 16 q^{16} - 12 q^{17} + 12 q^{18} + 2 q^{19} - 54 q^{21} + 6 q^{22} + 12 q^{23} + 2 q^{24} - 16 q^{25} + 20 q^{26} + 40 q^{27} + 2 q^{28} + 6 q^{29} + 8 q^{30} - 4 q^{31} + 16 q^{32} + 26 q^{33} - 12 q^{34} - 12 q^{35} + 20 q^{37} - 26 q^{38} - 58 q^{39} - 6 q^{40} + 18 q^{41} - 54 q^{42} - 32 q^{43} + 6 q^{44} + 56 q^{45} + 6 q^{46} + 18 q^{47} - 8 q^{48} - 12 q^{49} - 14 q^{50} - 4 q^{51} + 10 q^{52} - 24 q^{53} + 20 q^{54} - 32 q^{55} + 10 q^{56} + 8 q^{57} + 36 q^{58} + 42 q^{59} + 16 q^{60} - 46 q^{61} - 14 q^{62} + 32 q^{64} - 18 q^{65} + 4 q^{66} + 50 q^{67} - 66 q^{69} + 12 q^{70} - 12 q^{71} - 12 q^{72} - 28 q^{73} + 16 q^{74} - 20 q^{75} - 28 q^{76} + 12 q^{77} - 26 q^{78} + 38 q^{79} - 6 q^{80} + 56 q^{81} - 8 q^{85} - 16 q^{86} + 18 q^{87} + 18 q^{89} + 4 q^{90} + 4 q^{91} - 6 q^{92} + 32 q^{93} + 30 q^{94} + 96 q^{95} - 10 q^{96} - 12 q^{98} - 26 q^{99}+O(q^{100}) \) 32 * q + 16 * q^2 - 2 * q^3 - 16 * q^4 + 6 * q^5 + 8 * q^6 - 10 * q^7 - 32 * q^8 + 12 * q^9 + 6 * q^10 + 10 * q^12 + 10 * q^13 - 8 * q^14 - 8 * q^15 - 16 * q^16 - 12 * q^17 + 12 * q^18 + 2 * q^19 - 54 * q^21 + 6 * q^22 + 12 * q^23 + 2 * q^24 - 16 * q^25 + 20 * q^26 + 40 * q^27 + 2 * q^28 + 6 * q^29 + 8 * q^30 - 4 * q^31 + 16 * q^32 + 26 * q^33 - 12 * q^34 - 12 * q^35 + 20 * q^37 - 26 * q^38 - 58 * q^39 - 6 * q^40 + 18 * q^41 - 54 * q^42 - 32 * q^43 + 6 * q^44 + 56 * q^45 + 6 * q^46 + 18 * q^47 - 8 * q^48 - 12 * q^49 - 14 * q^50 - 4 * q^51 + 10 * q^52 - 24 * q^53 + 20 * q^54 - 32 * q^55 + 10 * q^56 + 8 * q^57 + 36 * q^58 + 42 * q^59 + 16 * q^60 - 46 * q^61 - 14 * q^62 + 32 * q^64 - 18 * q^65 + 4 * q^66 + 50 * q^67 - 66 * q^69 + 12 * q^70 - 12 * q^71 - 12 * q^72 - 28 * q^73 + 16 * q^74 - 20 * q^75 - 28 * q^76 + 12 * q^77 - 26 * q^78 + 38 * q^79 - 6 * q^80 + 56 * q^81 - 8 * q^85 - 16 * q^86 + 18 * q^87 + 18 * q^89 + 4 * q^90 + 4 * q^91 - 6 * q^92 + 32 * q^93 + 30 * q^94 + 96 * q^95 - 10 * q^96 - 12 * q^98 - 26 * q^99

Introduction

L-functions

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