LMFDB - Embedded newform 370.2.q.f.103.7

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			103.7
Character	$\chi$	$=$	370.103
Dual form			370.2.q.f.97.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.500000 + 0.866025i) q^{2} +(0.304778 + 1.13745i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(2.21062 + 0.336359i) q^{5} +(-0.832670 + 0.832670i) q^{6} +(0.993767 + 3.70879i) q^{7} -1.00000 q^{8} +(1.39718 - 0.806661i) q^{9} +O(q^{10})$	\(q+(0.500000 + 0.866025i) q^{2} +(0.304778 + 1.13745i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(2.21062 + 0.336359i) q^{5} +(-0.832670 + 0.832670i) q^{6} +(0.993767 + 3.70879i) q^{7} -1.00000 q^{8} +(1.39718 - 0.806661i) q^{9} +(0.814017 + 2.08264i) q^{10} -5.46031i q^{11} +(-1.13745 - 0.304778i) q^{12} +(0.988857 - 1.71275i) q^{13} +(-2.71502 + 2.71502i) q^{14} +(0.291159 + 2.61699i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-6.08991 + 3.51601i) q^{17} +(1.39718 + 0.806661i) q^{18} +(-1.64236 + 0.440070i) q^{19} +(-1.39661 + 1.74628i) q^{20} +(-3.91568 + 2.26072i) q^{21} +(4.72877 - 2.73016i) q^{22} -6.08345 q^{23} +(-0.304778 - 1.13745i) q^{24} +(4.77372 + 1.48713i) q^{25} +1.97771 q^{26} +(3.84137 + 3.84137i) q^{27} +(-3.70879 - 0.993767i) q^{28} +(4.74864 - 4.74864i) q^{29} +(-2.12080 + 1.56064i) q^{30} +(-0.415519 - 0.415519i) q^{31} +(0.500000 - 0.866025i) q^{32} +(6.21082 - 1.66418i) q^{33} +(-6.08991 - 3.51601i) q^{34} +(0.949360 + 8.53300i) q^{35} +1.61332i q^{36} +(4.05923 - 4.53019i) q^{37} +(-1.20229 - 1.20229i) q^{38} +(2.24955 + 0.602764i) q^{39} +(-2.21062 - 0.336359i) q^{40} +(-0.895698 - 0.517131i) q^{41} +(-3.91568 - 2.26072i) q^{42} -8.46619 q^{43} +(4.72877 + 2.73016i) q^{44} +(3.35996 - 1.31327i) q^{45} +(-3.04172 - 5.26842i) q^{46} +(-4.67697 + 4.67697i) q^{47} +(0.832670 - 0.832670i) q^{48} +(-6.70537 + 3.87135i) q^{49} +(1.09897 + 4.87773i) q^{50} +(-5.85535 - 5.85535i) q^{51} +(0.988857 + 1.71275i) q^{52} +(2.67928 - 9.99922i) q^{53} +(-1.40604 + 5.24741i) q^{54} +(1.83663 - 12.0707i) q^{55} +(-0.993767 - 3.70879i) q^{56} +(-1.00111 - 1.73398i) q^{57} +(6.48676 + 1.73812i) q^{58} +(-0.818273 + 3.05384i) q^{59} +(-2.41196 - 1.05634i) q^{60} +(2.58577 - 0.692854i) q^{61} +(0.152090 - 0.567609i) q^{62} +(4.38021 + 4.38021i) q^{63} +1.00000 q^{64} +(2.76209 - 3.45364i) q^{65} +(4.54664 + 4.54664i) q^{66} +(9.46427 - 2.53594i) q^{67} -7.03202i q^{68} +(-1.85410 - 6.91961i) q^{69} +(-6.91512 + 5.08867i) q^{70} +(2.59131 - 4.48828i) q^{71} +(-1.39718 + 0.806661i) q^{72} +(-2.88594 + 2.88594i) q^{73} +(5.95288 + 1.25030i) q^{74} +(-0.236604 + 5.88311i) q^{75} +(0.440070 - 1.64236i) q^{76} +(20.2511 - 5.42628i) q^{77} +(0.602764 + 2.24955i) q^{78} +(5.43524 - 1.45637i) q^{79} +(-0.814017 - 2.08264i) q^{80} +(-0.778613 + 1.34860i) q^{81} -1.03426i q^{82} +(2.80923 - 10.4842i) q^{83} -4.52143i q^{84} +(-14.6452 + 5.72418i) q^{85} +(-4.23309 - 7.33194i) q^{86} +(6.84861 + 3.95405i) q^{87} +5.46031i q^{88} +(-8.91075 - 2.38763i) q^{89} +(2.81731 + 2.25318i) q^{90} +(7.33493 + 1.96539i) q^{91} +(3.04172 - 5.26842i) q^{92} +(0.345990 - 0.599272i) q^{93} +(-6.38885 - 1.71189i) q^{94} +(-3.77867 + 0.420405i) q^{95} +(1.13745 + 0.304778i) q^{96} +3.18792i q^{97} +(-6.70537 - 3.87135i) q^{98} +(-4.40462 - 7.62902i) 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 $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{3}{4}\right)$

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
$3$	0.304778	+	1.13745i	0.175964	+	0.656706i	0.996385	+	0.0849470i	$0.0270721\pi$
$3$	0.304778	+	1.13745i	0.175964	+	0.656706i	−0.820422	+	0.571759i	$0.806261\pi$
$4$	−0.500000	+	0.866025i	−0.250000	+	0.433013i
$5$	2.21062	+	0.336359i	0.988621	+	0.150425i
$5$	2.21062	+	0.336359i	0.988621	+	0.150425i
$6$	−0.832670	+	0.832670i	−0.339936	+	0.339936i
$7$	0.993767	+	3.70879i	0.375609	+	1.40179i	0.852453	+	0.522803i	$0.175114\pi$
$7$	0.993767	+	3.70879i	0.375609	+	1.40179i	−0.476845	+	0.878987i	$0.658220\pi$
$8$	−1.00000			−0.353553
$9$	1.39718	−	0.806661i	0.465726	−	0.268887i
$10$	0.814017	+	2.08264i	0.257415	+	0.658588i
$11$		−	5.46031i		−	1.64635i	−0.567791	−	0.823173i	$-0.692202\pi$
$11$		−	5.46031i		−	1.64635i	0.567791	−	0.823173i	$-0.307798\pi$
$12$	−1.13745	−	0.304778i	−0.328353	−	0.0879819i
$13$	0.988857	−	1.71275i	0.274260	−	0.475032i	−0.695688	−	0.718344i	$-0.744901\pi$
$13$	0.988857	−	1.71275i	0.274260	−	0.475032i	0.969948	+	0.243312i	$0.0782339\pi$
$14$	−2.71502	+	2.71502i	−0.725620	+	0.725620i
$15$	0.291159	+	2.61699i	0.0751770	+	0.675703i
$16$	−0.500000	−	0.866025i	−0.125000	−	0.216506i
$17$	−6.08991	+	3.51601i	−1.47702	+	0.852758i	−0.999663	−	0.0259513i	$-0.991739\pi$
$17$	−6.08991	+	3.51601i	−1.47702	+	0.852758i	−0.477357	+	0.878709i	$0.658405\pi$
$18$	1.39718	+	0.806661i	0.329318	+	0.190132i
$19$	−1.64236	+	0.440070i	−0.376784	+	0.100959i	−0.442241	−	0.896896i	$-0.645816\pi$
$19$	−1.64236	+	0.440070i	−0.376784	+	0.100959i	0.0654567	+	0.997855i	$0.479150\pi$
$20$	−1.39661	+	1.74628i	−0.312291	+	0.390480i
$21$	−3.91568	+	2.26072i	−0.854471	+	0.493329i
$22$	4.72877	−	2.73016i	1.00818	−	0.582071i
$23$	−6.08345			−1.26849			−0.634243	−	0.773133i	$-0.718688\pi$
$23$	−6.08345			−1.26849			−0.634243	+	0.773133i	$0.718688\pi$
$24$	−0.304778	−	1.13745i	−0.0622126	−	0.232181i
$25$	4.77372	+	1.48713i	0.954745	+	0.297426i
$26$	1.97771			0.387862
$27$	3.84137	+	3.84137i	0.739273	+	0.739273i
$28$	−3.70879	−	0.993767i	−0.700895	−	0.187804i
$29$	4.74864	−	4.74864i	0.881799	−	0.881799i	−0.111918	−	0.993717i	$-0.535699\pi$
$29$	4.74864	−	4.74864i	0.881799	−	0.881799i	0.993717	+	0.111918i	$0.0356994\pi$
$30$	−2.12080	+	1.56064i	−0.387203	+	0.284933i
$31$	−0.415519	−	0.415519i	−0.0746294	−	0.0746294i	0.668807	−	0.743436i	$-0.266805\pi$
$31$	−0.415519	−	0.415519i	−0.0746294	−	0.0746294i	−0.743436	+	0.668807i	$0.766805\pi$
$32$	0.500000	−	0.866025i	0.0883883	−	0.153093i
$33$	6.21082	−	1.66418i	1.08116	−	0.289697i
$34$	−6.08991	−	3.51601i	−1.04441	−	0.602991i
$35$	0.949360	+	8.53300i	0.160471	+	1.44234i
$36$			1.61332i			0.268887i
$37$	4.05923	−	4.53019i	0.667333	−	0.744759i
$37$	4.05923	−	4.53019i	0.667333	−	0.744759i
$38$	−1.20229	−	1.20229i	−0.195038	−	0.195038i
$39$	2.24955	+	0.602764i	0.360216	+	0.0965196i
$40$	−2.21062	−	0.336359i	−0.349530	−	0.0531831i
$41$	−0.895698	−	0.517131i	−0.139884	−	0.0807623i	0.428424	−	0.903578i	$-0.359069\pi$
$41$	−0.895698	−	0.517131i	−0.139884	−	0.0807623i	−0.568309	+	0.822815i	$0.692402\pi$
$42$	−3.91568	−	2.26072i	−0.604202	−	0.348836i
$43$	−8.46619			−1.29108			−0.645541	−	0.763726i	$-0.723368\pi$
$43$	−8.46619			−1.29108			−0.645541	+	0.763726i	$0.723368\pi$
$44$	4.72877	+	2.73016i	0.712888	+	0.411586i
$45$	3.35996	−	1.31327i	0.500874	−	0.195771i
$46$	−3.04172	−	5.26842i	−0.448478	−	0.776786i
$47$	−4.67697	+	4.67697i	−0.682205	+	0.682205i	−0.960497	−	0.278291i	$-0.910232\pi$
$47$	−4.67697	+	4.67697i	−0.682205	+	0.682205i	0.278291	+	0.960497i	$0.410232\pi$
$48$	0.832670	−	0.832670i	0.120186	−	0.120186i
$49$	−6.70537	+	3.87135i	−0.957910	+	0.553049i
$50$	1.09897	+	4.87773i	0.155418	+	0.689815i
$51$	−5.85535	−	5.85535i	−0.819913	−	0.819913i
$52$	0.988857	+	1.71275i	0.137130	+	0.237516i
$53$	2.67928	−	9.99922i	0.368028	−	1.37350i	−0.495241	−	0.868755i	$-0.664920\pi$
$53$	2.67928	−	9.99922i	0.368028	−	1.37350i	0.863269	−	0.504744i	$-0.168413\pi$
$54$	−1.40604	+	5.24741i	−0.191338	+	0.714083i
$55$	1.83663	−	12.0707i	0.247651	−	1.62761i
$56$	−0.993767	−	3.70879i	−0.132798	−	0.495608i
$57$	−1.00111	−	1.73398i	−0.132601	−	0.229671i
$58$	6.48676	+	1.73812i	0.851753	+	0.228226i
$59$	−0.818273	+	3.05384i	−0.106530	+	0.397576i	−0.998514	−	0.0544909i	$-0.982646\pi$
$59$	−0.818273	+	3.05384i	−0.106530	+	0.397576i	0.891984	+	0.452067i	$0.149313\pi$
$60$	−2.41196	−	1.05634i	−0.311382	−	0.136373i
$61$	2.58577	−	0.692854i	0.331073	−	0.0887109i	−0.0894533	−	0.995991i	$-0.528512\pi$
$61$	2.58577	−	0.692854i	0.331073	−	0.0887109i	0.420527	+	0.907280i	$0.361845\pi$
$62$	0.152090	−	0.567609i	0.0193155	−	0.0720864i
$63$	4.38021	+	4.38021i	0.551854	+	0.551854i
$64$	1.00000			0.125000
$65$	2.76209	−	3.45364i	0.342595	−	0.428371i
$66$	4.54664	+	4.54664i	0.559652	+	0.559652i
$67$	9.46427	−	2.53594i	1.15625	−	0.309815i	0.370780	−	0.928721i	$-0.379090\pi$
$67$	9.46427	−	2.53594i	1.15625	−	0.309815i	0.785465	+	0.618906i	$0.212424\pi$
$68$		−	7.03202i		−	0.852758i
$69$	−1.85410	−	6.91961i	−0.223208	−	0.833023i
$70$	−6.91512	+	5.08867i	−0.826515	+	0.608213i
$71$	2.59131	−	4.48828i	0.307532	−	0.532661i	−0.670290	−	0.742099i	$-0.733830\pi$
$71$	2.59131	−	4.48828i	0.307532	−	0.532661i	0.977822	+	0.209438i	$0.0671635\pi$
$72$	−1.39718	+	0.806661i	−0.164659	+	0.0950659i
$73$	−2.88594	+	2.88594i	−0.337773	+	0.337773i	−0.855529	−	0.517755i	$-0.826768\pi$
$73$	−2.88594	+	2.88594i	−0.337773	+	0.337773i	0.517755	+	0.855529i	$0.326768\pi$
$74$	5.95288	+	1.25030i	0.692008	+	0.145344i
$75$	−0.236604	+	5.88311i	−0.0273207	+	0.679323i
$76$	0.440070	−	1.64236i	0.0504795	−	0.188392i
$77$	20.2511	−	5.42628i	2.30783	−	0.618382i
$78$	0.602764	+	2.24955i	0.0682496	+	0.254711i
$79$	5.43524	−	1.45637i	0.611512	−	0.163854i	0.0602457	−	0.998184i	$-0.480812\pi$
$79$	5.43524	−	1.45637i	0.611512	−	0.163854i	0.551266	+	0.834330i	$0.314145\pi$
$80$	−0.814017	−	2.08264i	−0.0910098	−	0.232846i
$81$	−0.778613	+	1.34860i	−0.0865126	+	0.149844i
$82$		−	1.03426i		−	0.114215i
$83$	2.80923	−	10.4842i	0.308354	−	1.15079i	−0.621666	−	0.783282i	$-0.713544\pi$
$83$	2.80923	−	10.4842i	0.308354	−	1.15079i	0.930020	−	0.367509i	$-0.119789\pi$
$84$		−	4.52143i		−	0.493329i
$85$	−14.6452	+	5.72418i	−1.58849	+	0.620875i
$86$	−4.23309	−	7.33194i	−0.456466	−	0.790623i
$87$	6.84861	+	3.95405i	0.734248	+	0.423918i
$88$			5.46031i			0.582071i
$89$	−8.91075	−	2.38763i	−0.944538	−	0.253088i	−0.246495	−	0.969144i	$-0.579279\pi$
$89$	−8.91075	−	2.38763i	−0.944538	−	0.253088i	−0.698043	+	0.716056i	$0.745946\pi$
$90$	2.81731	+	2.25318i	0.296970	+	0.237506i
$91$	7.33493	+	1.96539i	0.768909	+	0.206029i
$92$	3.04172	−	5.26842i	0.317122	−	0.549271i
$93$	0.345990	−	0.599272i	0.0358775	−	0.0621416i
$94$	−6.38885	−	1.71189i	−0.658960	−	0.176568i
$95$	−3.77867	+	0.420405i	−0.387683	+	0.0431326i
$96$	1.13745	+	0.304778i	0.116090	+	0.0311063i
$97$			3.18792i			0.323684i	0.986817	+	0.161842i	$0.0517435\pi$
$97$			3.18792i			0.323684i	−0.986817	+	0.161842i	$0.948256\pi$
$98$	−6.70537	−	3.87135i	−0.677344	−	0.391065i
$99$	−4.40462	−	7.62902i	−0.442681	−	0.766746i
$100$	−3.67475	+	3.39060i	−0.367475	+	0.339060i
$101$		−	4.98949i		−	0.496473i	−0.968699	−	0.248237i	$-0.920149\pi$
$101$		−	4.98949i		−	0.496473i	0.968699	−	0.248237i	$-0.0798510\pi$
$102$	2.14321	−	7.99856i	0.212209	−	0.791976i
$103$			14.0366i			1.38307i	0.722344	+	0.691534i	$0.243065\pi$
$103$			14.0366i			1.38307i	−0.722344	+	0.691534i	$0.756935\pi$
$104$	−0.988857	+	1.71275i	−0.0969654	+	0.167949i
$105$	−9.41651	+	3.68052i	−0.918957	+	0.359182i
$106$	9.99922	−	2.67928i	0.971210	−	0.260235i
$107$	3.43329	+	12.8132i	0.331909	+	1.23870i	0.907181	+	0.420740i	$0.138229\pi$
$107$	3.43329	+	12.8132i	0.331909	+	1.23870i	−0.575272	+	0.817962i	$0.695104\pi$
$108$	−5.24741	+	1.40604i	−0.504933	+	0.135296i
$109$	−4.26226	+	15.9070i	−0.408251	+	1.52361i	0.389730	+	0.920929i	$0.372568\pi$
$109$	−4.26226	+	15.9070i	−0.408251	+	1.52361i	−0.797980	+	0.602683i	$0.794098\pi$
$110$	11.3718	−	4.44478i	1.08426	−	0.423793i
$111$	6.39003	+	3.23646i	0.606514	+	0.307191i
$112$	2.71502	−	2.71502i	0.256545	−	0.256545i
$113$	13.3365	−	7.69982i	1.25459	−	0.724338i	0.282573	−	0.959246i	$-0.408812\pi$
$113$	13.3365	−	7.69982i	1.25459	−	0.724338i	0.972018	+	0.234908i	$0.0754788\pi$
$114$	1.00111	−	1.73398i	0.0937628	−	0.162402i
$115$	−13.4482	−	2.04623i	−1.25405	−	0.190811i
$116$	1.73812	+	6.48676i	0.161380	+	0.602280i
$117$		−	3.19069i		−	0.294979i
$118$	−3.05384	+	0.818273i	−0.281128	+	0.0753282i
$119$	−19.0921	−	19.0921i	−1.75017	−	1.75017i
$120$	−0.291159	−	2.61699i	−0.0265791	−	0.238897i
$121$	−18.8150			−1.71045
$122$	1.89291	+	1.89291i	0.171376	+	0.171376i
$123$	0.315221	−	1.17642i	0.0284225	−	0.106074i
$124$	0.567609	−	0.152090i	0.0509728	−	0.0136581i
$125$	10.0527	+	4.89317i	0.899141	+	0.437659i
$126$	−1.60327	+	5.98347i	−0.142830	+	0.533050i
$127$	4.18716	+	1.12195i	0.371550	+	0.0995566i	0.439762	−	0.898114i	$-0.355063\pi$
$127$	4.18716	+	1.12195i	0.371550	+	0.0995566i	−0.0682118	+	0.997671i	$0.521729\pi$
$128$	0.500000	+	0.866025i	0.0441942	+	0.0765466i
$129$	−2.58031	−	9.62985i	−0.227184	−	0.847861i
$130$	4.37199	+	0.665223i	0.383448	+	0.0583439i
$131$	−3.34173	+	12.4715i	−0.291969	+	1.08964i	0.651626	+	0.758540i	$0.274087\pi$
$131$	−3.34173	+	12.4715i	−0.291969	+	1.08964i	−0.943595	+	0.331102i	$0.892580\pi$
$132$	−1.66418	+	6.21082i	−0.144849	+	0.540582i
$133$	−3.26425	−	5.65385i	−0.283047	−	0.490251i
$134$	6.92833	+	6.92833i	0.598517	+	0.598517i
$135$	7.19975	+	9.78392i	0.619656	+	0.842066i
$136$	6.08991	−	3.51601i	0.522206	−	0.301496i
$137$	8.52641	−	8.52641i	0.728460	−	0.728460i	−0.241853	−	0.970313i	$-0.577755\pi$
$137$	8.52641	−	8.52641i	0.728460	−	0.728460i	0.970313	+	0.241853i	$0.0777551\pi$
$138$	5.06550	−	5.06550i	0.431204	−	0.431204i
$139$	3.56517	+	6.17505i	0.302394	+	0.523761i	0.976678	−	0.214711i	$-0.0688809\pi$
$139$	3.56517	+	6.17505i	0.302394	+	0.523761i	−0.674284	+	0.738472i	$0.735548\pi$
$140$	−7.86448	−	3.44433i	−0.664670	−	0.291099i
$141$	−6.74524	−	3.89437i	−0.568052	−	0.327965i
$142$	5.18262			0.434916
$143$	−9.35215	−	5.39947i	−0.782066	−	0.451526i
$144$	−1.39718	−	0.806661i	−0.116431	−	0.0672218i
$145$	12.0947	−	8.90020i	1.00441	−	0.739122i
$146$	−3.94226	−	1.05633i	−0.326264	−	0.0874221i
$147$	−6.44710	−	6.44710i	−0.531748	−	0.531748i
$148$	1.89365	+	5.78049i	0.155657	+	0.475154i
$149$			15.1227i			1.23890i	0.785035	+	0.619451i	$0.212645\pi$
$149$			15.1227i			1.23890i	−0.785035	+	0.619451i	$0.787355\pi$
$150$	−5.21322	+	2.73665i	−0.425658	+	0.223446i
$151$	−6.36629	−	3.67558i	−0.518081	−	0.299114i	0.218068	−	0.975934i	$-0.430025\pi$
$151$	−6.36629	−	3.67558i	−0.518081	−	0.299114i	−0.736149	+	0.676819i	$0.763358\pi$
$152$	1.64236	−	0.440070i	0.133213	−	0.0356944i
$153$	−5.67246	+	9.82499i	−0.458591	+	0.794303i
$154$	14.8249	+	14.8249i	1.19462	+	1.19462i
$155$	−0.778792	−	1.05832i	−0.0625541	−	0.0850063i
$156$	−1.64678	+	1.64678i	−0.131848	+	0.131848i
$157$	−21.5637	−	5.77799i	−1.72097	−	0.461133i	−0.742901	−	0.669401i	$-0.766551\pi$
$157$	−21.5637	−	5.77799i	−1.72097	−	0.461133i	−0.978072	+	0.208267i	$0.933218\pi$
$158$	3.97887	+	3.97887i	0.316542	+	0.316542i
$159$	12.1902			0.966745
$160$	1.39661	−	1.74628i	0.110412	−	0.138055i
$161$	−6.04553	−	22.5622i	−0.476455	−	1.77815i
$162$	−1.55723			−0.122347
$163$	0.0374727	−	0.0216348i	0.00293509	−	0.00169457i	−0.498532	−	0.866871i	$-0.666127\pi$
$163$	0.0374727	−	0.0216348i	0.00293509	−	0.00169457i	0.501467	+	0.865177i	$0.332794\pi$
$164$	0.895698	−	0.517131i	0.0699422	−	0.0403812i
$165$	14.2896	−	1.58982i	1.11244	−	0.123767i
$166$	10.4842	−	2.80923i	0.813732	−	0.218039i
$167$	−9.62460	−	5.55677i	−0.744774	−	0.429996i	0.0790284	−	0.996872i	$-0.474818\pi$
$167$	−9.62460	−	5.55677i	−0.744774	−	0.429996i	−0.823803	+	0.566877i	$0.808152\pi$
$168$	3.91568	−	2.26072i	0.302101	−	0.174418i
$169$	4.54432	+	7.87100i	0.349563	+	0.605461i
$170$	−12.2799	−	9.82098i	−0.941823	−	0.753235i
$171$	−1.93969	+	1.93969i	−0.148331	+	0.148331i
$172$	4.23309	−	7.33194i	0.322770	−	0.559055i
$173$	−11.2921	−	3.02570i	−0.858519	−	0.230039i	−0.197402	−	0.980323i	$-0.563251\pi$
$173$	−11.2921	−	3.02570i	−0.858519	−	0.230039i	−0.661117	+	0.750283i	$0.729917\pi$
$174$			7.90809i			0.599511i
$175$	−0.771477	+	19.1826i	−0.0583182	+	1.45007i
$176$	−4.72877	+	2.73016i	−0.356444	+	0.205793i
$177$	−3.72297			−0.279836
$178$	−2.38763	−	8.91075i	−0.178960	−	0.667889i
$179$	−4.59580	+	4.59580i	−0.343506	+	0.343506i	−0.857684	−	0.514178i	$-0.828097\pi$
$179$	−4.59580	+	4.59580i	−0.343506	+	0.343506i	0.514178	+	0.857684i	$0.328097\pi$
$180$	−0.542656	+	3.56645i	−0.0404472	+	0.265827i
$181$	0.422608	−	0.731979i	0.0314122	−	0.0544076i	−0.849892	−	0.526957i	$-0.823333\pi$
$181$	0.422608	−	0.731979i	0.0314122	−	0.0544076i	0.881304	+	0.472549i	$0.156666\pi$
$182$	1.96539	+	7.33493i	0.145684	+	0.543701i
$183$	1.57617	+	2.73001i	0.116514	+	0.201808i
$184$	6.08345			0.448478
$185$	10.4972	−	8.64920i	0.771770	−	0.635902i
$186$	0.691980			0.0507384
$187$	19.1985	+	33.2528i	1.40393	+	2.43169i
$188$	−1.71189	−	6.38885i	−0.124852	−	0.465955i
$189$	−10.4294	+	18.0643i	−0.758628	+	1.31398i
$190$	−2.25342	−	3.06222i	−0.163480	−	0.222157i
$191$	−10.4745	+	10.4745i	−0.757906	+	0.757906i	−0.975941	−	0.218035i	$-0.930035\pi$
$191$	−10.4745	+	10.4745i	−0.757906	+	0.757906i	0.218035	+	0.975941i	$0.430035\pi$
$192$	0.304778	+	1.13745i	0.0219955	+	0.0820882i
$193$	4.98115			0.358551			0.179276	−	0.983799i	$-0.442625\pi$
$193$	4.98115			0.358551			0.179276	+	0.983799i	$0.442625\pi$
$194$	−2.76082	+	1.59396i	−0.198215	+	0.114440i
$195$	4.77016	+	2.08914i	0.341598	+	0.149607i
$196$		−	7.74269i		−	0.553049i
$197$	−18.2919	−	4.90131i	−1.30325	−	0.349204i	−0.460570	−	0.887623i	$-0.652355\pi$
$197$	−18.2919	−	4.90131i	−1.30325	−	0.349204i	−0.842677	+	0.538419i	$0.819022\pi$
$198$	4.40462	−	7.62902i	0.313023	−	0.542171i
$199$	9.19559	−	9.19559i	0.651858	−	0.651858i	−0.301582	−	0.953440i	$-0.597515\pi$
$199$	9.19559	−	9.19559i	0.651858	−	0.651858i	0.953440	+	0.301582i	$0.0975147\pi$
$200$	−4.77372	−	1.48713i	−0.337553	−	0.105156i
$201$	5.76901	+	9.99222i	0.406915	+	0.704797i
$202$	4.32103	−	2.49475i	0.304026	−	0.175530i
$203$	22.3307	+	12.8927i	1.56731	+	0.904887i
$204$	7.99856	−	2.14321i	0.560011	−	0.150055i
$205$	−1.80611	−	1.44446i	−0.126144	−	0.100885i
$206$	−12.1561	+	7.01831i	−0.846953	+	0.488988i
$207$	−8.49966	+	4.90728i	−0.590767	+	0.341080i
$208$	−1.97771			−0.137130
$209$	2.40292	+	8.96781i	0.166213	+	0.620316i
$210$	−7.89568	−	6.31467i	−0.544854	−	0.435754i
$211$	−15.0513			−1.03617			−0.518087	−	0.855328i	$-0.673356\pi$
$211$	−15.0513			−1.03617			−0.518087	+	0.855328i	$0.673356\pi$
$212$	7.31994	+	7.31994i	0.502736	+	0.502736i
$213$	5.89497	+	1.57955i	0.403916	+	0.108229i
$214$	−9.37993	+	9.37993i	−0.641199	+	0.641199i
$215$	−18.7156	−	2.84768i	−1.27639	−	0.194210i
$216$	−3.84137	−	3.84137i	−0.261372	−	0.261372i
$217$	1.12814	−	1.95400i	0.0765833	−	0.132646i
$218$	−15.9070	+	4.26226i	−1.07736	+	0.288677i
$219$	−4.16217	−	2.40303i	−0.281254	−	0.162382i
$220$	9.53522	+	7.62591i	0.642864	+	0.514139i
$221$			13.9073i			0.935509i
$222$	0.392159	+	7.15215i	0.0263200	+	0.480021i
$223$	−16.4064	−	16.4064i	−1.09865	−	1.09865i	−0.994568	−	0.104085i	$-0.966809\pi$
$223$	−16.4064	−	16.4064i	−1.09865	−	1.09865i	−0.104085	−	0.994568i	$-0.533191\pi$
$224$	3.70879	+	0.993767i	0.247804	+	0.0663989i
$225$	7.86935	−	1.77299i	0.524623	−	0.118200i
$226$	13.3365	+	7.69982i	0.887129	+	0.512184i
$227$	−17.8211	−	10.2890i	−1.18283	−	0.682906i	−0.226160	−	0.974090i	$-0.572617\pi$
$227$	−17.8211	−	10.2890i	−1.18283	−	0.682906i	−0.956667	+	0.291184i	$0.905951\pi$
$228$	2.00223			0.132601
$229$	−11.3988	−	6.58111i	−0.753255	−	0.434892i	0.0736141	−	0.997287i	$-0.476547\pi$
$229$	−11.3988	−	6.58111i	−0.753255	−	0.434892i	−0.826869	+	0.562395i	$0.809880\pi$
$230$	−4.95203	−	12.6696i	−0.326527	−	0.835410i
$231$	12.3442	+	21.3808i	0.812190	+	1.40675i
$232$	−4.74864	+	4.74864i	−0.311763	+	0.311763i
$233$	9.59629	−	9.59629i	0.628674	−	0.628674i	−0.319061	−	0.947734i	$-0.603367\pi$
$233$	9.59629	−	9.59629i	0.628674	−	0.628674i	0.947734	+	0.319061i	$0.103367\pi$
$234$	2.76322	−	1.59535i	0.180637	−	0.104291i
$235$	−11.9122	+	8.76587i	−0.777063	+	0.571823i
$236$	−2.23556	−	2.23556i	−0.145523	−	0.145523i
$237$	3.31308	+	5.73843i	0.215208	+	0.372751i
$238$	6.98819	−	26.0803i	0.452977	−	1.69053i
$239$	5.72534	−	21.3673i	0.370341	−	1.38213i	−0.489692	−	0.871896i	$-0.662891\pi$
$239$	5.72534	−	21.3673i	0.370341	−	1.38213i	0.860033	−	0.510238i	$-0.170443\pi$
$240$	2.12080	−	1.56064i	0.136897	−	0.100739i
$241$	3.74860	+	13.9900i	0.241469	+	0.901174i	0.975125	+	0.221654i	$0.0711454\pi$
$241$	3.74860	+	13.9900i	0.241469	+	0.901174i	−0.733657	+	0.679520i	$0.762188\pi$
$242$	−9.40749	−	16.2943i	−0.604737	−	1.04743i
$243$	13.9710	+	3.74351i	0.896239	+	0.240146i
$244$	−0.692854	+	2.58577i	−0.0443554	+	0.165537i
$245$	−16.1252	+	6.30268i	−1.03020	+	0.402663i
$246$	1.17642	−	0.315221i	0.0750058	−	0.0200977i
$247$	−0.870332	+	3.24812i	−0.0553779	+	0.206673i
$248$	0.415519	+	0.415519i	0.0263855	+	0.0263855i
$249$	12.7814			0.809991
$250$	0.788742	+	11.1525i	0.0498844	+	0.705345i
$251$	13.9150	+	13.9150i	0.878305	+	0.878305i	0.993359	−	0.115054i	$-0.0367042\pi$
$251$	13.9150	+	13.9150i	0.878305	+	0.878305i	−0.115054	+	0.993359i	$0.536704\pi$
$252$	−5.98347	+	1.60327i	−0.376923	+	0.100996i
$253$			33.2175i			2.08837i
$254$	1.12195	+	4.18716i	0.0703972	+	0.262726i
$255$	−10.9745	−	14.9135i	−0.687249	−	0.933919i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	4.12982	−	2.38436i	0.257611	−	0.148732i	−0.365633	−	0.930759i	$-0.619147\pi$
$257$	4.12982	−	2.38436i	0.257611	−	0.148732i	0.623244	+	0.782027i	$0.285814\pi$
$258$	7.04954	−	7.04954i	0.438885	−	0.438885i
$259$	20.8355	+	10.5529i	1.29465	+	0.655723i
$260$	1.60989	+	4.11886i	0.0998413	+	0.255441i
$261$	2.80415	−	10.4652i	0.173572	−	0.647781i
$262$	−12.4715	+	3.34173i	−0.770493	+	0.206453i
$263$	−0.0627910	−	0.234339i	−0.00387186	−	0.0144500i	0.963963	−	0.266037i	$-0.0857143\pi$
$263$	−0.0627910	−	0.234339i	−0.00387186	−	0.0144500i	−0.967835	+	0.251587i	$0.919048\pi$
$264$	−6.21082	+	1.66418i	−0.382250	+	0.102423i
$265$	9.28622	−	21.2033i	0.570448	−	1.30251i
$266$	3.26425	−	5.65385i	0.200144	−	0.346660i
$267$		−	10.8632i		−	0.664818i
$268$	−2.53594	+	9.46427i	−0.154907	+	0.578123i
$269$		−	17.4363i		−	1.06311i	−0.847024	−	0.531554i	$-0.821608\pi$
$269$		−	17.4363i		−	1.06311i	0.847024	−	0.531554i	$-0.178392\pi$
$270$	−4.87325	+	11.1271i	−0.296576	+	0.677176i
$271$	5.34533	+	9.25838i	0.324705	+	0.562406i	0.981453	−	0.191704i	$-0.0614015\pi$
$271$	5.34533	+	9.25838i	0.324705	+	0.562406i	−0.656747	+	0.754111i	$0.728068\pi$
$272$	6.08991	+	3.51601i	0.369255	+	0.213190i
$273$			8.94211i			0.541201i
$274$	11.6473	+	3.12088i	0.703638	+	0.188539i
$275$	8.12019	−	26.0660i	0.489666	−	1.57184i
$276$	6.91961	+	1.85410i	0.416511	+	0.111604i
$277$	−13.1025	+	22.6941i	−0.787251	+	1.36356i	0.140395	+	0.990096i	$0.455163\pi$
$277$	−13.1025	+	22.6941i	−0.787251	+	1.36356i	−0.927645	+	0.373462i	$0.878170\pi$
$278$	−3.56517	+	6.17505i	−0.213825	+	0.370355i
$279$	−0.915736	−	0.245371i	−0.0548237	−	0.0146900i
$280$	−0.949360	−	8.53300i	−0.0567351	−	0.509945i
$281$	8.14474	+	2.18238i	0.485874	+	0.130190i	0.493437	−	0.869782i	$-0.335740\pi$
$281$	8.14474	+	2.18238i	0.485874	+	0.130190i	−0.00756218	+	0.999971i	$0.502407\pi$
$282$		−	7.78874i		−	0.463812i
$283$	−0.349853	−	0.201988i	−0.0207966	−	0.0120069i	0.489566	−	0.871966i	$-0.337155\pi$
$283$	−0.349853	−	0.201988i	−0.0207966	−	0.0120069i	−0.510362	+	0.859960i	$0.670489\pi$
$284$	2.59131	+	4.48828i	0.153766	+	0.266331i
$285$	−1.62985	−	4.16991i	−0.0965437	−	0.247004i
$286$		−	10.7989i		−	0.638554i
$287$	1.02782	−	3.83586i	0.0606701	−	0.226424i
$288$		−	1.61332i		−	0.0950659i
$289$	16.2247	−	28.1020i	0.954393	−	1.65306i
$290$	13.7552	+	6.02422i	0.807730	+	0.353754i
$291$	−3.62609	+	0.971609i	−0.212565	+	0.0569567i
$292$	−1.05633	−	3.94226i	−0.0618168	−	0.230703i
$293$	18.0248	−	4.82973i	1.05302	−	0.282156i	0.309520	−	0.950893i	$-0.399832\pi$
$293$	18.0248	−	4.82973i	1.05302	−	0.282156i	0.743499	+	0.668737i	$0.233165\pi$
$294$	2.35980	−	8.80691i	0.137627	−	0.513629i
$295$	−2.83608	+	6.47565i	−0.165123	+	0.377027i
$296$	−4.05923	+	4.53019i	−0.235938	+	0.263312i
$297$	20.9751	−	20.9751i	1.21710	−	1.21710i
$298$	−13.0967	+	7.56136i	−0.758670	+	0.438018i
$299$	−6.01566	+	10.4194i	−0.347895	+	0.602571i
$300$	−4.97662	−	3.14646i	−0.287325	−	0.181661i
$301$	−8.41342	−	31.3993i	−0.484941	−	1.80983i
$302$		−	7.35116i		−	0.423012i
$303$	5.67529	−	1.52069i	0.326037	−	0.0873613i
$304$	1.20229	+	1.20229i	0.0689562	+	0.0689562i
$305$	5.94921	−	0.661893i	0.340651	−	0.0378999i
$306$	−11.3449			−0.648546
$307$	−5.59294	−	5.59294i	−0.319206	−	0.319206i	0.529256	−	0.848462i	$-0.322471\pi$
$307$	−5.59294	−	5.59294i	−0.319206	−	0.319206i	−0.848462	+	0.529256i	$0.822471\pi$
$308$	−5.42628	+	20.2511i	−0.309191	+	1.15392i
$309$	−15.9659	+	4.27805i	−0.908269	+	0.243370i
$310$	0.527136	−	1.20361i	0.0299393	−	0.0683607i
$311$	0.485709	−	1.81269i	0.0275420	−	0.102788i	−0.950787	−	0.309847i	$-0.899722\pi$
$311$	0.485709	−	1.81269i	0.0275420	−	0.102788i	0.978329	+	0.207058i	$0.0663890\pi$
$312$	−2.24955	−	0.602764i	−0.127356	−	0.0341248i
$313$	7.56581	+	13.1044i	0.427645	+	0.740703i	0.996663	−	0.0816220i	$-0.0260100\pi$
$313$	7.56581	+	13.1044i	0.427645	+	0.740703i	−0.569018	+	0.822325i	$0.692677\pi$
$314$	−5.77799	−	21.5637i	−0.326071	−	1.21691i
$315$	8.20967	+	11.1563i	0.462562	+	0.628587i
$316$	−1.45637	+	5.43524i	−0.0819270	+	0.305756i
$317$	−4.08381	+	15.2410i	−0.229369	+	0.856018i	0.751237	+	0.660032i	$0.229457\pi$
$317$	−4.08381	+	15.2410i	−0.229369	+	0.856018i	−0.980607	+	0.195986i	$0.937209\pi$
$318$	6.09509	+	10.5570i	0.341796	+	0.592008i
$319$	−25.9290	−	25.9290i	−1.45175	−	1.45175i
$320$	2.21062	+	0.336359i	0.123578	+	0.0188031i
$321$	−13.5280	+	7.81039i	−0.755059	+	0.435933i
$322$	16.5167	−	16.5167i	0.920440	−	0.920440i
$323$	8.45455	−	8.45455i	0.470424	−	0.470424i
$324$	−0.778613	−	1.34860i	−0.0432563	−	0.0749221i
$325$	7.26761	−	6.70564i	0.403135	−	0.371962i
$326$	0.0374727	+	0.0216348i	0.00207542	+	0.00119824i
$327$	−19.3924			−1.07240
$328$	0.895698	+	0.517131i	0.0494566	+	0.0285538i
$329$	−21.9937	−	12.6981i	−1.21255	−	0.700067i
$330$	8.52160	+	11.5802i	0.469099	+	0.637470i
$331$	−10.3911	−	2.78429i	−0.571147	−	0.153038i	−0.0383242	−	0.999265i	$-0.512202\pi$
$331$	−10.3911	−	2.78429i	−0.571147	−	0.153038i	−0.532822	+	0.846227i	$0.678869\pi$
$332$	7.67497	+	7.67497i	0.421219	+	0.421219i
$333$	2.01713	−	9.60391i	0.110538	−	0.526291i
$334$		−	11.1135i		−	0.608106i
$335$	21.7749	−	2.42262i	1.18969	−	0.132362i
$336$	3.91568	+	2.26072i	0.213618	+	0.123332i
$337$	−13.0782	+	3.50429i	−0.712414	+	0.190891i	−0.596784	−	0.802402i	$-0.703555\pi$
$337$	−13.0782	+	3.50429i	−0.712414	+	0.190891i	−0.115630	+	0.993292i	$0.536889\pi$
$338$	−4.54432	+	7.87100i	−0.247179	+	0.428126i
$339$	12.8228	+	12.8228i	0.696440	+	0.696440i
$340$	2.36529	−	15.5452i	0.128276	−	0.843055i
$341$	−2.26886	+	2.26886i	−0.122866	+	0.122866i
$342$	−2.64966	−	0.709974i	−0.143277	−	0.0383910i
$343$	−2.01642	−	2.01642i	−0.108877	−	0.108877i
$344$	8.46619			0.456466
$345$	−1.77125	−	15.9203i	−0.0953610	−	0.857120i
$346$	−3.02570	−	11.2921i	−0.162662	−	0.607065i
$347$	−5.90909			−0.317217			−0.158608	−	0.987342i	$-0.550701\pi$
$347$	−5.90909			−0.317217			−0.158608	+	0.987342i	$0.550701\pi$
$348$	−6.84861	+	3.95405i	−0.367124	+	0.211959i
$349$	4.07376	−	2.35198i	0.218063	−	0.125899i	−0.386990	−	0.922084i	$-0.626485\pi$
$349$	4.07376	−	2.35198i	0.218063	−	0.125899i	0.605053	+	0.796185i	$0.293152\pi$
$350$	−16.9984	+	8.92318i	−0.908600	+	0.476964i
$351$	10.3779	−	2.78075i	0.553931	−	0.148425i
$352$	−4.72877	−	2.73016i	−0.252044	−	0.145518i
$353$	−12.7692	+	7.37231i	−0.679637	+	0.392388i	−0.799718	−	0.600376i	$-0.795018\pi$
$353$	−12.7692	+	7.37231i	−0.679637	+	0.392388i	0.120081	+	0.992764i	$0.461684\pi$
$354$	−1.86149	−	3.22419i	−0.0989369	−	0.171364i
$355$	7.23809	−	9.05030i	0.384158	−	0.480340i
$356$	6.52312	−	6.52312i	0.345725	−	0.345725i
$357$	15.8974	−	27.5351i	0.841380	−	1.45731i
$358$	−6.27798	−	1.68218i	−0.331801	−	0.0889059i
$359$		−	7.93603i		−	0.418847i	−0.977825	−	0.209424i	$-0.932841\pi$
$359$		−	7.93603i		−	0.418847i	0.977825	−	0.209424i	$-0.0671588\pi$
$360$	−3.35996	+	1.31327i	−0.177086	+	0.0692155i
$361$	−13.9508	+	8.05449i	−0.734252	+	0.423921i
$362$	0.845216			0.0444236
$363$	−5.73440	−	21.4011i	−0.300978	−	1.12326i
$364$	−5.36954	+	5.36954i	−0.281440	+	0.281440i
$365$	−7.35043	+	5.40901i	−0.384739	+	0.283121i
$366$	−1.57617	+	2.73001i	−0.0823878	+	0.142700i
$367$	9.03720	+	33.7273i	0.471738	+	1.76055i	0.633522	+	0.773725i	$0.281609\pi$
$367$	9.03720	+	33.7273i	0.471738	+	1.76055i	−0.161784	+	0.986826i	$0.551725\pi$
$368$	3.04172	+	5.26842i	0.158561	+	0.274635i
$369$	−1.66860			−0.0868638
$370$	12.7390	+	4.76625i	0.662271	+	0.247785i
$371$	39.7476			2.06359
$372$	0.345990	+	0.599272i	0.0179387	+	0.0310708i
$373$	−1.29877	−	4.84708i	−0.0672478	−	0.250972i	0.924116	−	0.382112i	$-0.124803\pi$
$373$	−1.29877	−	4.84708i	−0.0672478	−	0.250972i	−0.991364	+	0.131140i	$0.958136\pi$
$374$	−19.1985	+	33.2528i	−0.992732	+	1.71946i
$375$	−2.50188	+	12.9258i	−0.129197	+	0.667483i
$376$	4.67697	−	4.67697i	0.241196	−	0.241196i
$377$	−3.43751	−	12.8290i	−0.177041	−	0.660725i
$378$	−20.8588			−1.07286
$379$	−1.97427	+	1.13985i	−0.101412	+	0.0585501i	−0.549848	−	0.835265i	$-0.685314\pi$
$379$	−1.97427	+	1.13985i	−0.101412	+	0.0585501i	0.448436	+	0.893815i	$0.351981\pi$
$380$	1.52525	−	3.48263i	0.0782438	−	0.178655i
$381$			5.10462i			0.261518i
$382$	−14.3084	−	3.83392i	−0.732081	−	0.196161i
$383$	−13.4222	+	23.2479i	−0.685843	+	1.18791i	0.287328	+	0.957832i	$0.407233\pi$
$383$	−13.4222	+	23.2479i	−0.685843	+	1.18791i	−0.973171	+	0.230082i	$0.926100\pi$
$384$	−0.832670	+	0.832670i	−0.0424920	+	0.0424920i
$385$	46.5929	−	5.18380i	2.37459	−	0.264191i
$386$	2.49058	+	4.31381i	0.126767	+	0.219567i
$387$	−11.8288	+	6.82935i	−0.601290	+	0.347155i
$388$	−2.76082	−	1.59396i	−0.140159	−	0.0809210i
$389$	29.8185	−	7.98985i	1.51186	−	0.405102i	0.594807	−	0.803868i	$-0.297228\pi$
$389$	29.8185	−	7.98985i	1.51186	−	0.405102i	0.917052	+	0.398767i	$0.130562\pi$
$390$	0.575830	+	5.17565i	0.0291583	+	0.262079i
$391$	37.0477	−	21.3895i	1.87358	−	1.08171i
$392$	6.70537	−	3.87135i	0.338672	−	0.195532i
$393$	−15.2042			−0.766950
$394$	−4.90131	−	18.2919i	−0.246925	−	0.921535i
$395$	12.5051	−	1.39129i	0.629201	−	0.0700033i
$396$	8.80924			0.442681
$397$	9.58770	+	9.58770i	0.481193	+	0.481193i	0.905512	−	0.424320i	$-0.139487\pi$
$397$	9.58770	+	9.58770i	0.481193	+	0.481193i	−0.424320	+	0.905512i	$0.639487\pi$
$398$	12.5614	+	3.36582i	0.629647	+	0.168713i
$399$	5.43609	−	5.43609i	0.272145	−	0.272145i
$400$	−1.09897	−	4.87773i	−0.0549485	−	0.243887i
$401$	−15.6700	−	15.6700i	−0.782521	−	0.782521i	0.197735	−	0.980256i	$-0.436641\pi$
$401$	−15.6700	−	15.6700i	−0.782521	−	0.782521i	−0.980256	+	0.197735i	$0.936641\pi$
$402$	−5.76901	+	9.99222i	−0.287732	+	0.498367i
$403$	−1.12257	+	0.300791i	−0.0559191	+	0.0149835i
$404$	4.32103	+	2.49475i	0.214979	+	0.124118i
$405$	−2.17483	+	2.71935i	−0.108068	+	0.135126i
$406$			25.7853i			1.27970i
$407$	−24.7363	−	22.1646i	−1.22613	−	1.09866i
$408$	5.85535	+	5.85535i	0.289883	+	0.289883i
$409$	5.75922	+	1.54318i	0.284775	+	0.0763053i	0.398379	−	0.917221i	$-0.369573\pi$
$409$	5.75922	+	1.54318i	0.284775	+	0.0763053i	−0.113604	+	0.993526i	$0.536239\pi$
$410$	0.347884	−	2.28637i	0.0171808	−	0.112916i
$411$	12.2970	+	7.09968i	0.606567	+	0.350201i
$412$	−12.1561	−	7.01831i	−0.598886	−	0.345767i
$413$	−12.1392			−0.597332
$414$	−8.49966	−	4.90728i	−0.417735	−	0.241180i
$415$	9.73663	−	22.2317i	0.477952	−	1.09131i
$416$	−0.988857	−	1.71275i	−0.0484827	−	0.0839745i
$417$	−5.93722	+	5.93722i	−0.290747	+	0.290747i
$418$	−6.56489	+	6.56489i	−0.321099	+	0.321099i
$419$	17.7139	−	10.2271i	0.865382	−	0.499629i	−0.000428900	−	1.00000i	$-0.500137\pi$
$419$	17.7139	−	10.2271i	0.865382	−	0.499629i	0.865811	+	0.500371i	$0.166803\pi$
$420$	1.52083	−	9.99519i	0.0742088	−	0.487716i
$421$	10.5229	+	10.5229i	0.512855	+	0.512855i	0.915400	−	0.402545i	$-0.131874\pi$
$421$	10.5229	+	10.5229i	0.512855	+	0.512855i	−0.402545	+	0.915400i	$0.631874\pi$
$422$	−7.52565	−	13.0348i	−0.366343	−	0.634525i
$423$	−2.76183	+	10.3073i	−0.134285	+	0.501157i
$424$	−2.67928	+	9.99922i	−0.130118	+	0.485605i
$425$	−34.3003	+	7.72799i	−1.66381	+	0.374863i
$426$	1.57955	+	5.89497i	0.0765295	+	0.285612i
$427$	5.13930	+	8.90153i	0.248708	+	0.430775i
$428$	−12.8132	−	3.43329i	−0.619351	−	0.165955i
$429$	3.29128	−	12.2832i	0.158905	−	0.593040i
$430$	−6.89162	−	17.6320i	−0.332343	−	0.850291i
$431$	−1.12101	+	0.300374i	−0.0539972	+	0.0144685i	−0.285717	−	0.958314i	$-0.592232\pi$
$431$	−1.12101	+	0.300374i	−0.0539972	+	0.0144685i	0.231719	+	0.972783i	$0.425565\pi$
$432$	1.40604	−	5.24741i	0.0676482	−	0.252466i
$433$	−5.89491	−	5.89491i	−0.283291	−	0.283291i	0.551129	−	0.834420i	$-0.314197\pi$
$433$	−5.89491	−	5.89491i	−0.283291	−	0.283291i	−0.834420	+	0.551129i	$0.814197\pi$
$434$	2.25629			0.108305
$435$	13.8097	+	11.0445i	0.662125	+	0.529543i
$436$	−11.6447	−	11.6447i	−0.557681	−	0.557681i
$437$	9.99123	−	2.67714i	0.477945	−	0.128065i
$438$		−	4.80606i		−	0.229643i
$439$	−1.04997	−	3.91853i	−0.0501121	−	0.187021i	0.936333	−	0.351114i	$-0.114197\pi$
$439$	−1.04997	−	3.91853i	−0.0501121	−	0.187021i	−0.986445	+	0.164093i	$0.947530\pi$
$440$	−1.83663	+	12.0707i	−0.0875577	+	0.575448i
$441$	−6.24573	+	10.8179i	−0.297416	+	0.515139i
$442$	−12.0441	+	6.95367i	−0.572880	+	0.330752i
$443$	10.0495	−	10.0495i	0.477465	−	0.477465i	−0.426855	−	0.904320i	$-0.640379\pi$
$443$	10.0495	−	10.0495i	0.477465	−	0.477465i	0.904320	+	0.426855i	$0.140379\pi$
$444$	−5.99787	+	3.91570i	−0.284646	+	0.185831i
$445$	−18.8952	−	8.27537i	−0.895720	−	0.392290i
$446$	6.00516	−	22.4116i	0.284352	−	1.06122i
$447$	−17.2013	+	4.60908i	−0.813594	+	0.218002i
$448$	0.993767	+	3.70879i	0.0469511	+	0.175224i
$449$	14.9542	−	4.00695i	0.705730	−	0.189100i	0.111934	−	0.993716i	$-0.464295\pi$
$449$	14.9542	−	4.00695i	0.705730	−	0.189100i	0.593796	+	0.804616i	$0.297629\pi$
$450$	5.47013	+	5.92856i	0.257865	+	0.279475i
$451$	−2.82370	+	4.89079i	−0.132963	+	0.230298i
$452$			15.3996i			0.724338i
$453$	2.24047	−	8.36156i	0.105267	−	0.392860i
$454$		−	20.5780i		−	0.965775i
$455$	15.5537	+	6.81191i	0.729168	+	0.319347i
$456$	1.00111	+	1.73398i	0.0468814	+	0.0812010i
$457$	−8.86233	−	5.11667i	−0.414562	−	0.239348i	0.278186	−	0.960527i	$-0.410267\pi$
$457$	−8.86233	−	5.11667i	−0.414562	−	0.239348i	−0.692748	+	0.721180i	$0.743600\pi$
$458$		−	13.1622i		−	0.615030i
$459$	−36.8999	−	9.88731i	−1.72234	−	0.461500i
$460$	8.49619	−	10.6234i	0.396137	−	0.495318i
$461$	−31.4798	−	8.43499i	−1.46616	−	0.392857i	−0.564548	−	0.825400i	$-0.690950\pi$
$461$	−31.4798	−	8.43499i	−1.46616	−	0.392857i	−0.901613	+	0.432543i	$0.857616\pi$
$462$	−12.3442	+	21.3808i	−0.574305	+	0.994725i
$463$	5.78036	−	10.0119i	0.268636	−	0.465291i	−0.699874	−	0.714266i	$-0.746760\pi$
$463$	5.78036	−	10.0119i	0.268636	−	0.465291i	0.968510	+	0.248975i	$0.0800938\pi$
$464$	−6.48676	−	1.73812i	−0.301140	−	0.0806902i
$465$	0.966425	−	1.20839i	0.0448169	−	0.0560377i
$466$	13.1088	+	3.51249i	0.607252	+	0.162713i
$467$		−	35.3131i		−	1.63410i	−0.576568	−	0.817049i	$-0.695609\pi$
$467$		−	35.3131i		−	1.63410i	0.576568	−	0.817049i	$-0.304391\pi$
$468$	2.76322	+	1.59535i	0.127730	+	0.0737449i
$469$	18.8106	+	32.5809i	0.868591	+	1.50444i
$470$	−13.5475	−	5.93329i	−0.624902	−	0.273682i
$471$		−	26.2886i		−	1.21132i
$472$	0.818273	−	3.05384i	0.0376641	−	0.140564i
$473$			46.2280i			2.12557i
$474$	−3.31308	+	5.73843i	−0.152175	+	0.263575i
$475$	−8.49463	−	0.341633i	−0.389760	−	0.0156752i
$476$	26.0803	−	6.98819i	1.19539	−	0.320303i
$477$	−4.32255	−	16.1320i	−0.197916	−	0.738632i
$478$	21.3673	−	5.72534i	0.977316	−	0.261871i
$479$	−7.88906	+	29.4424i	−0.360460	+	1.34526i	0.513012	+	0.858382i	$0.328530\pi$
$479$	−7.88906	+	29.4424i	−0.360460	+	1.34526i	−0.873472	+	0.486874i	$0.838137\pi$
$480$	2.41196	+	1.05634i	0.110090	+	0.0482152i
$481$	−3.74510	−	11.4322i	−0.170762	−	0.521262i
$482$	−10.2414	+	10.2414i	−0.466482	+	0.466482i
$483$	23.8208	−	13.7530i	1.08388	−	0.625781i
$484$	9.40749	−	16.2943i	0.427613	−	0.740648i
$485$	−1.07229	+	7.04729i	−0.0486900	+	0.320001i
$486$	3.74351	+	13.9710i	0.169809	+	0.633736i
$487$		−	5.21694i		−	0.236402i	−0.992990	−	0.118201i	$-0.962287\pi$
$487$		−	5.21694i		−	0.236402i	0.992990	−	0.118201i	$-0.0377127\pi$
$488$	−2.58577	+	0.692854i	−0.117052	+	0.0313640i
$489$	0.0360294	+	0.0360294i	0.00162930	+	0.00162930i
$490$	−13.5209	−	10.8135i	−0.610811	−	0.488504i
$491$	15.6799			0.707626			0.353813	−	0.935316i	$-0.384885\pi$
$491$	15.6799			0.707626			0.353813	+	0.935316i	$0.384885\pi$
$492$	0.861199	+	0.861199i	0.0388259	+	0.0388259i
$493$	−12.2225	+	45.6150i	−0.550474	+	2.05440i
$494$	−3.24812	+	0.870332i	−0.146140	+	0.0391581i
$495$	−7.17087	−	18.3464i	−0.322306	−	0.824611i
$496$	−0.152090	+	0.567609i	−0.00682906	+	0.0254864i
$497$	19.2213	+	5.15032i	0.862191	+	0.231023i
$498$	6.39072	+	11.0690i	0.286375	+	0.496016i
$499$	−7.54976	−	28.1761i	−0.337974	−	1.26134i	−0.900609	−	0.434630i	$-0.856879\pi$
$499$	−7.54976	−	28.1761i	−0.337974	−	1.26134i	0.562635	−	0.826705i	$-0.309788\pi$
$500$	−9.26396	+	6.25931i	−0.414297	+	0.279925i
$501$	3.38716	−	12.6411i	0.151327	−	0.564761i
$502$	−5.09323	+	19.0082i	−0.227322	+	0.848377i
$503$	−18.7714	−	32.5130i	−0.836974	−	1.44968i	−0.892413	−	0.451219i	$-0.850989\pi$
$503$	−18.7714	−	32.5130i	−0.836974	−	1.44968i	0.0554390	−	0.998462i	$-0.482344\pi$
$504$	−4.38021	−	4.38021i	−0.195110	−	0.195110i
$505$	1.67826	−	11.0299i	0.0746817	−	0.490824i
$506$	−28.7672	+	16.6088i	−1.27886	+	0.738349i
$507$	−7.56784	+	7.56784i	−0.336100	+	0.336100i
$508$	−3.06521	+	3.06521i	−0.135997	+	0.135997i
$509$	17.1627	+	29.7266i	0.760722	+	1.31761i	0.942479	+	0.334265i	$0.108488\pi$
$509$	17.1627	+	29.7266i	0.760722	+	1.31761i	−0.181757	+	0.983343i	$0.558179\pi$
$510$	7.42822	−	16.9609i	0.328927	−	0.751043i
$511$	−13.5713	−	7.83538i	−0.600358	−	0.346617i
$512$	−1.00000			−0.0441942
$513$	−7.99940	−	4.61846i	−0.353182	−	0.203910i
$514$	4.12982	+	2.38436i	0.182159	+	0.105169i
$515$	−4.72135	+	31.0297i	−0.208047	+	1.36733i
$516$	9.62985	+	2.58031i	0.423931	+	0.113592i
$517$	25.5377	+	25.5377i	1.12315	+	1.12315i
$518$	1.27868	+	23.3205i	0.0561821	+	1.02464i
$519$		−	13.7663i		−	0.604273i
$520$	−2.76209	+	3.45364i	−0.121126	+	0.151452i
$521$	37.3873	+	21.5855i	1.63797	+	0.945680i	0.981533	+	0.191295i	$0.0612688\pi$
$521$	37.3873	+	21.5855i	1.63797	+	0.945680i	0.656433	+	0.754384i	$0.272065\pi$
$522$	10.4652	−	2.80415i	0.458051	−	0.122734i
$523$	−14.0259	+	24.2937i	−0.613312	+	1.06229i	0.377366	+	0.926064i	$0.376830\pi$
$523$	−14.0259	+	24.2937i	−0.613312	+	1.06229i	−0.990678	+	0.136223i	$0.956504\pi$
$524$	−9.12979	−	9.12979i	−0.398837	−	0.398837i
$525$	−22.0543	+	4.96892i	−0.962530	+	0.216862i
$526$	0.171548	−	0.171548i	0.00747986	−	0.00747986i
$527$	3.99144	+	1.06950i	0.173870	+	0.0465883i
$528$	−4.54664	−	4.54664i	−0.197867	−	0.197867i
$529$	14.0083			0.609059
$530$	23.0057	−	2.55956i	0.999305	−	0.111180i
$531$	1.32014	+	4.92682i	0.0572891	+	0.213806i
$532$	6.52850			0.283047
$533$	−1.77143	+	1.02274i	−0.0767293	+	0.0442997i
$534$	9.40782	−	5.43161i	0.407116	−	0.235049i
$535$	3.27988	+	29.4801i	0.141801	+	1.27453i
$536$	−9.46427	+	2.53594i	−0.408794	+	0.109536i
$537$	−6.62818	−	3.82678i	−0.286027	−	0.165138i
$538$	15.1003	−	8.71814i	0.651018	−	0.375866i
$539$	21.1387	+	36.6134i	0.910510	+	1.57705i
$540$	−12.0730	+	1.34321i	−0.519539	+	0.0578026i
$541$	−5.96873	+	5.96873i	−0.256616	+	0.256616i	−0.823676	−	0.567060i	$-0.808081\pi$
$541$	−5.96873	+	5.96873i	−0.256616	+	0.256616i	0.567060	+	0.823676i	$0.308081\pi$
$542$	−5.34533	+	9.25838i	−0.229601	+	0.397681i
$543$	0.961390	+	0.257604i	0.0412572	+	0.0110548i
$544$			7.03202i			0.301496i
$545$	−14.7727	+	33.7307i	−0.632794	+	1.44487i
$546$	−7.74409	+	4.47105i	−0.331416	+	0.191343i
$547$	13.9648			0.597094			0.298547	−	0.954395i	$-0.403498\pi$
$547$	13.9648			0.597094			0.298547	+	0.954395i	$0.403498\pi$
$548$	3.12088	+	11.6473i	0.133317	+	0.497547i
$549$	3.05388	−	3.05388i	0.130336	−	0.130336i
$550$	26.6339	−	6.00072i	1.13567	−	0.255872i
$551$	−5.70925	+	9.88871i	−0.243222	+	0.421273i
$552$	1.85410	+	6.91961i	0.0789159	+	0.294518i
$553$	10.8027	+	18.7109i	0.459378	+	0.795666i
$554$	−26.2049			−1.11334
$555$	13.0373	+	9.30394i	0.553404	+	0.394930i
$556$	−7.13034			−0.302394
$557$	17.7859	+	30.8061i	0.753612	+	1.30529i	0.946061	+	0.323988i	$0.105024\pi$
$557$	17.7859	+	30.8061i	0.753612	+	1.30529i	−0.192449	+	0.981307i	$0.561643\pi$
$558$	−0.245371	−	0.915736i	−0.0103874	−	0.0387662i
$559$	−8.37185	+	14.5005i	−0.354092	+	0.613305i
$560$	6.91512	−	5.08867i	0.292217	−	0.215036i
$561$	−31.9720	+	31.9720i	−1.34986	+	1.34986i
$562$	2.18238	+	8.14474i	0.0920580	+	0.343565i
$563$	18.6702			0.786853			0.393427	−	0.919356i	$-0.371290\pi$
$563$	18.6702			0.786853			0.393427	+	0.919356i	$0.371290\pi$
$564$	6.74524	−	3.89437i	0.284026	−	0.163982i
$565$	32.0719	−	12.5356i	1.34927	−	0.527375i
$566$		−	0.403975i		−	0.0169803i
$567$	−5.77542	−	1.54752i	−0.242545	−	0.0649897i
$568$	−2.59131	+	4.48828i	−0.108729	+	0.188324i
$569$	−15.6912	+	15.6912i	−0.657811	+	0.657811i	−0.954862	−	0.297051i	$-0.903997\pi$
$569$	−15.6912	+	15.6912i	−0.657811	+	0.657811i	0.297051	+	0.954862i	$0.403997\pi$
$570$	2.79633	−	3.49644i	0.117125	−	0.146450i
$571$	−3.06630	−	5.31099i	−0.128321	−	0.222258i	0.794705	−	0.606995i	$-0.207625\pi$
$571$	−3.06630	−	5.31099i	−0.128321	−	0.222258i	−0.923026	+	0.384737i	$0.874292\pi$
$572$	9.35215	−	5.39947i	0.391033	−	0.225763i
$573$	−15.1066	−	8.72178i	−0.631086	−	0.364357i
$574$	3.83586	−	1.02782i	0.160106	−	0.0429002i
$575$	−29.0407	−	9.04687i	−1.21108	−	0.377281i
$576$	1.39718	−	0.806661i	0.0582157	−	0.0336109i
$577$	−19.3777	+	11.1877i	−0.806702	+	0.465750i	−0.845809	−	0.533485i	$-0.820882\pi$
$577$	−19.3777	+	11.1877i	−0.806702	+	0.465750i	0.0391071	+	0.999235i	$0.487549\pi$
$578$	32.4494			1.34972
$579$	1.51815	+	5.66580i	0.0630921	+	0.235463i
$580$	1.66045	+	14.9244i	0.0689465	+	0.619703i
$581$	41.6754			1.72899
$582$	−2.65448	−	2.65448i	−0.110032	−	0.110032i
$583$	−54.5989	−	14.6297i	−2.26125	−	0.605901i
$584$	2.88594	−	2.88594i	0.119421	−	0.119421i
$585$	1.07322	−	7.05342i	0.0443721	−	0.291623i
$586$	13.1951	+	13.1951i	0.545083	+	0.545083i
$587$	−16.4333	+	28.4633i	−0.678276	+	1.17481i	0.297224	+	0.954808i	$0.403939\pi$
$587$	−16.4333	+	28.4633i	−0.678276	+	1.17481i	−0.975500	+	0.220000i	$0.929394\pi$
$588$	8.80691	−	2.35980i	0.363191	−	0.0973167i
$589$	0.865290	+	0.499575i	0.0356536	+	0.0205846i
$590$	−7.02612	+	0.781708i	−0.289261	+	0.0321824i
$591$		−	22.2999i		−	0.917297i
$592$	−5.95288	−	1.25030i	−0.244662	−	0.0513869i
$593$	31.0412	+	31.0412i	1.27471	+	1.27471i	0.943589	+	0.331120i	$0.107427\pi$
$593$	31.0412	+	31.0412i	1.27471	+	1.27471i	0.331120	+	0.943589i	$0.392573\pi$
$594$	28.6525	+	7.67742i	1.17563	+	0.315008i
$595$	−35.7837	−	48.6273i	−1.46699	−	1.99352i
$596$	−13.0967	−	7.56136i	−0.536460	−	0.309726i
$597$	13.2621	+	7.65689i	0.542783	+	0.313376i
$598$	−12.0313			−0.491997
$599$	−30.9335	−	17.8595i	−1.26391	−	0.729718i	−0.290080	−	0.957003i	$-0.593682\pi$
$599$	−30.9335	−	17.8595i	−1.26391	−	0.729718i	−0.973828	+	0.227285i	$0.927015\pi$
$600$	0.236604	−	5.88311i	0.00965933	−	0.240177i
$601$	11.3482	+	19.6557i	0.462904	+	0.801773i	0.999104	−	0.0423179i	$-0.0134742\pi$
$601$	11.3482	+	19.6557i	0.462904	+	0.801773i	−0.536201	+	0.844091i	$0.680141\pi$
$602$	22.9859	−	22.9859i	0.936835	−	0.936835i
$603$	11.1776	−	11.1776i	0.455188	−	0.455188i
$604$	6.36629	−	3.67558i	0.259041	−	0.149557i
$605$	−41.5929	−	6.32860i	−1.69099	−	0.257294i
$606$	4.15460	+	4.15460i	0.168769	+	0.168769i
$607$	−15.5550	−	26.9421i	−0.631358	−	1.09354i	−0.987274	−	0.159027i	$-0.949164\pi$
$607$	−15.5550	−	26.9421i	−0.631358	−	1.09354i	0.355916	−	0.934518i	$-0.384169\pi$
$608$	−0.440070	+	1.64236i	−0.0178472	+	0.0666066i
$609$	−7.85880	+	29.3294i	−0.318455	+	1.18849i
$610$	3.54782	+	4.82122i	0.143647	+	0.195205i
$611$	3.38563	+	12.6353i	0.136968	+	0.511171i
$612$	−5.67246	−	9.82499i	−0.229296	−	0.397152i
$613$	20.4830	+	5.48841i	0.827302	+	0.221675i	0.647536	−	0.762035i	$-0.275799\pi$
$613$	20.4830	+	5.48841i	0.827302	+	0.221675i	0.179766	+	0.983709i	$0.442466\pi$
$614$	2.04716	−	7.64010i	0.0826166	−	0.308330i
$615$	1.09253	−	2.49460i	0.0440553	−	0.100592i
$616$	−20.2511	+	5.42628i	−0.815942	+	0.218631i
$617$	9.78630	−	36.5230i	0.393981	−	1.47036i	−0.429527	−	0.903054i	$-0.641320\pi$
$617$	9.78630	−	36.5230i	0.393981	−	1.47036i	0.823508	−	0.567305i	$-0.192014\pi$
$618$	−11.6879	−	11.6879i	−0.470155	−	0.470155i
$619$	32.3769			1.30134			0.650670	−	0.759361i	$-0.274488\pi$
$619$	32.3769			1.30134			0.650670	+	0.759361i	$0.274488\pi$
$620$	1.30593	−	0.145294i	0.0524473	−	0.00583515i
$621$	−23.3688	−	23.3688i	−0.937758	−	0.937758i
$622$	1.81269	−	0.485709i	0.0726822	−	0.0194751i
$623$		−	35.4208i		−	1.41911i
$624$	−0.602764	−	2.24955i	−0.0241299	−	0.0900540i
$625$	20.5769	+	14.1983i	0.823076	+	0.567932i
$626$	−7.56581	+	13.1044i	−0.302391	+	0.523756i
$627$	−9.46806	+	5.46639i	−0.378118	+	0.218306i
$628$	15.7857	−	15.7857i	0.629920	−	0.629920i
$629$	−8.79212	+	41.8608i	−0.350565	+	1.66910i
$630$	−5.55682	+	12.6879i	−0.221389	+	0.505500i
$631$	−1.10156	+	4.11109i	−0.0438525	+	0.163660i	−0.984380	−	0.176059i	$-0.943665\pi$
$631$	−1.10156	+	4.11109i	−0.0438525	+	0.163660i	0.940527	+	0.339719i	$0.110332\pi$
$632$	−5.43524	+	1.45637i	−0.216202	+	0.0579312i
$633$	−4.58731	−	17.1201i	−0.182329	−	0.680462i
$634$	−15.2410	+	4.08381i	−0.605296	+	0.162189i
$635$	8.87886	+	3.88859i	0.352347	+	0.154314i
$636$	−6.09509	+	10.5570i	−0.241686	+	0.418613i
$637$			15.3128i			0.606717i
$638$	9.49068	−	35.4197i	0.375740	−	1.40228i
$639$		−	8.36124i		−	0.330766i
$640$	0.814017	+	2.08264i	0.0321768	+	0.0823235i
$641$	18.3265	+	31.7425i	0.723855	+	1.25375i	0.959444	+	0.281900i	$0.0909647\pi$
$641$	18.3265	+	31.7425i	0.723855	+	1.25375i	−0.235589	+	0.971853i	$0.575702\pi$
$642$	−13.5280	−	7.81039i	−0.533907	−	0.308251i
$643$		−	3.20122i		−	0.126244i	−0.998006	−	0.0631219i	$-0.979894\pi$
$643$		−	3.20122i		−	0.126244i	0.998006	−	0.0631219i	$-0.0201057\pi$
$644$	22.5622	+	6.04553i	0.889076	+	0.238227i
$645$	−2.46501	−	22.1559i	−0.0970596	−	0.872388i
$646$	11.5491	+	3.09458i	0.454395	+	0.121755i
$647$	7.58907	−	13.1446i	0.298357	−	0.516769i	−0.677403	−	0.735612i	$-0.736895\pi$
$647$	7.58907	−	13.1446i	0.298357	−	0.516769i	0.975760	+	0.218842i	$0.0702281\pi$
$648$	0.778613	−	1.34860i	0.0305868	−	0.0529779i
$649$	16.6749	+	4.46803i	0.654547	+	0.175385i
$650$	9.44107	+	2.94112i	0.370309	+	0.115360i
$651$	2.56641	+	0.687667i	0.100585	+	0.0269518i
$652$			0.0432697i			0.00169457i
$653$	−28.3063	−	16.3427i	−1.10771	−	0.639538i	−0.169477	−	0.985534i	$-0.554208\pi$
$653$	−28.3063	−	16.3427i	−1.10771	−	0.639538i	−0.938236	+	0.345996i	$0.887541\pi$
$654$	−9.69621	−	16.7943i	−0.379152	−	0.656710i
$655$	−11.5822	+	26.4458i	−0.452555	+	1.03332i
$656$			1.03426i			0.0403812i
$657$	−1.70419	+	6.36014i	−0.0664869	+	0.248133i
$658$		−	25.3961i		−	0.990044i
$659$	−8.99916	+	15.5870i	−0.350557	+	0.607183i	−0.986347	−	0.164679i	$-0.947341\pi$
$659$	−8.99916	+	15.5870i	−0.350557	+	0.607183i	0.635790	+	0.771862i	$0.280675\pi$
$660$	−5.76795	+	13.1700i	−0.224517	+	0.512643i
$661$	−0.342112	+	0.0916686i	−0.0133066	+	0.00356549i	−0.265466	−	0.964120i	$-0.585526\pi$
$661$	−0.342112	+	0.0916686i	−0.0133066	+	0.00356549i	0.252160	+	0.967686i	$0.418859\pi$
$662$	−2.78429	−	10.3911i	−0.108214	−	0.403862i
$663$	−15.8189	+	4.23865i	−0.614354	+	0.164616i
$664$	−2.80923	+	10.4842i	−0.109019	+	0.406866i
$665$	−5.31431	−	13.5965i	−0.206080	−	0.527250i
$666$	9.32580	−	3.05507i	0.361367	−	0.118381i
$667$	−28.8881	+	28.8881i	−1.11855	+	1.11855i
$668$	9.62460	−	5.55677i	0.372387	−	0.214998i
$669$	13.6611	−	23.6617i	0.528169	−	0.914816i
$670$	12.9855	+	17.6463i	0.501675	+	0.681738i
$671$	−3.78320	−	14.1191i	−0.146049	−	0.545061i
$672$			4.52143i			0.174418i
$673$	−10.0934	+	2.70452i	−0.389072	+	0.104252i	−0.448052	−	0.894008i	$-0.647882\pi$
$673$	−10.0934	+	2.70452i	−0.389072	+	0.104252i	0.0589796	+	0.998259i	$0.481215\pi$
$674$	−9.57389	−	9.57389i	−0.368773	−	0.368773i
$675$	12.6250	+	24.0503i	0.485938	+	0.925696i
$676$	−9.08864			−0.349563
$677$	0.343771	+	0.343771i	0.0132122	+	0.0132122i	0.713682	−	0.700470i	$-0.247026\pi$
$677$	0.343771	+	0.343771i	0.0132122	+	0.0132122i	−0.700470	+	0.713682i	$0.747026\pi$
$678$	−4.69348	+	17.5163i	−0.180252	+	0.672709i
$679$	−11.8233	+	3.16805i	−0.453737	+	0.121579i
$680$	14.6452	−	5.72418i	0.561616	−	0.219512i
$681$	6.27174	−	23.4064i	0.240333	−	0.896937i
$682$	−3.09932	−	0.830461i	−0.118679	−	0.0318000i
$683$	−0.493495	−	0.854759i	−0.0188831	−	0.0327064i	0.856429	−	0.516264i	$-0.172678\pi$
$683$	−0.493495	−	0.854759i	−0.0188831	−	0.0327064i	−0.875313	+	0.483558i	$0.839344\pi$
$684$	−0.709974	−	2.64966i	−0.0271465	−	0.101312i
$685$	21.7166	−	15.9807i	0.829749	−	0.610593i
$686$	0.738062	−	2.75448i	0.0281793	−	0.105167i
$687$	4.01156	−	14.9713i	0.153050	−	0.571192i
$688$	4.23309	+	7.33194i	0.161385	+	0.279527i
$689$	−14.4768	−	14.4768i	−0.551520	−	0.551520i
$690$	12.9018	−	9.49410i	0.491162	−	0.361434i
$691$	29.7528	−	17.1778i	1.13185	−	0.653475i	0.187451	−	0.982274i	$-0.439977\pi$
$691$	29.7528	−	17.1778i	1.13185	−	0.653475i	0.944400	+	0.328799i	$0.106644\pi$
$692$	8.26636	−	8.26636i	0.314240	−	0.314240i
$693$	23.9173	−	23.9173i	0.908542	−	0.908542i
$694$	−2.95455	−	5.11742i	−0.112153	−	0.194255i
$695$	5.80421	+	14.8499i	0.220166	+	0.563289i
$696$	−6.84861	−	3.95405i	−0.259596	−	0.149878i
$697$	7.27296			0.275483
$698$	4.07376	+	2.35198i	0.154194	+	0.0890239i
$699$	13.8400	+	7.99054i	0.523478	+	0.302230i
$700$	−16.2269	−	10.2594i	−0.613318	−	0.387770i
$701$	7.67813	+	2.05735i	0.289999	+	0.0777050i	0.400886	−	0.916128i	$-0.368702\pi$
$701$	7.67813	+	2.05735i	0.289999	+	0.0777050i	−0.110887	+	0.993833i	$0.535369\pi$
$702$	7.59714	+	7.59714i	0.286736	+	0.286736i
$703$	−4.67312	+	9.22657i	−0.176250	+	0.347987i
$704$		−	5.46031i		−	0.205793i
$705$	−13.6013	−	10.8778i	−0.512254	−	0.409682i
$706$	−12.7692	−	7.37231i	−0.480576	−	0.277460i
$707$	18.5050	−	4.95839i	0.695951	−	0.186480i
$708$	1.86149	−	3.22419i	0.0699589	−	0.121172i
$709$	−6.97419	−	6.97419i	−0.261921	−	0.261921i	0.563913	−	0.825834i	$-0.309295\pi$
$709$	−6.97419	−	6.97419i	−0.261921	−	0.261921i	−0.825834	+	0.563913i	$0.809295\pi$
$710$	11.4568	+	1.74322i	0.429967	+	0.0654220i
$711$	6.41920	−	6.41920i	0.240739	−	0.240739i
$712$	8.91075	+	2.38763i	0.333944	+	0.0894802i
$713$	2.52779	+	2.52779i	0.0946664	+	0.0946664i
$714$	31.7948			1.18989
$715$	−18.8579	−	15.0819i	−0.705247	−	0.564030i
$716$	−1.68218	−	6.27798i	−0.0628660	−	0.234619i
$717$	26.0491			0.972822
$718$	6.87280	−	3.96801i	0.256491	−	0.148085i
$719$	4.88756	−	2.82183i	0.182275	−	0.105237i	−0.406086	−	0.913835i	$-0.633107\pi$
$719$	4.88756	−	2.82183i	0.182275	−	0.105237i	0.588361	+	0.808598i	$0.299773\pi$
$720$	−2.81731	−	2.25318i	−0.104995	−	0.0839710i
$721$	−52.0588	+	13.9491i	−1.93877	+	0.519492i
$722$	−13.9508	−	8.05449i	−0.519195	−	0.299757i
$723$	−14.7704	+	8.52768i	−0.549316	+	0.317148i
$724$	0.422608	+	0.731979i	0.0157061	+	0.0272038i
$725$	29.7305	−	15.6068i	1.10416	−	0.579624i
$726$	15.6667	−	15.6667i	0.581445	−	0.581445i
$727$	15.3630	−	26.6094i	0.569781	−	0.986890i	−0.426806	−	0.904343i	$-0.640361\pi$
$727$	15.3630	−	26.6094i	0.569781	−	0.986890i	0.996587	−	0.0825466i	$-0.0263053\pi$
$728$	−7.33493	−	1.96539i	−0.271850	−	0.0728421i
$729$			21.7039i			0.803848i
$730$	−8.35956	−	3.66116i	−0.309401	−	0.135505i
$731$	51.5583	−	29.7672i	1.90695	−	1.10098i
$732$	−3.15234			−0.116514
$733$	−0.627808	−	2.34301i	−0.0231886	−	0.0865411i	0.953362	−	0.301830i	$-0.0975974\pi$
$733$	−0.627808	−	2.34301i	−0.0231886	−	0.0865411i	−0.976550	+	0.215289i	$0.930931\pi$
$734$	−24.6901	+	24.6901i	−0.911328	+	0.911328i
$735$	−12.0836	−	16.4207i	−0.445710	−	0.605686i
$736$	−3.04172	+	5.26842i	−0.112119	+	0.194197i
$737$	−13.8470	−	51.6779i	−0.510062	−	1.90358i
$738$	−0.834299	−	1.44505i	−0.0307110	−	0.0531930i
$739$	−16.1724			−0.594910			−0.297455	−	0.954736i	$-0.596138\pi$
$739$	−16.1724			−0.594910			−0.297455	+	0.954736i	$0.596138\pi$
$740$	2.24183	+	13.4154i	0.0824111	+	0.493162i
$741$	−3.95983			−0.145468
$742$	19.8738	+	34.4224i	0.729590	+	1.26369i
$743$	−3.38367	−	12.6280i	−0.124135	−	0.463277i	0.875673	−	0.482905i	$-0.160418\pi$
$743$	−3.38367	−	12.6280i	−0.124135	−	0.463277i	−0.999807	+	0.0196281i	$0.993752\pi$
$744$	−0.345990	+	0.599272i	−0.0126846	+	0.0219704i
$745$	−5.08667	+	33.4307i	−0.186361	+	1.22481i
$746$	3.54831	−	3.54831i	0.129913	−	0.129913i
$747$	−4.53220	−	16.9144i	−0.165825	−	0.618866i
$748$	−38.3970			−1.40393
$749$	−44.1097	+	25.4667i	−1.61173	+	0.930534i
$750$	−12.4450	+	4.29619i	−0.454426	+	0.156875i
$751$		−	34.3572i		−	1.25371i	−0.779136	−	0.626855i	$-0.784342\pi$
$751$		−	34.3572i		−	1.25371i	0.779136	−	0.626855i	$-0.215658\pi$
$752$	6.38885	+	1.71189i	0.232978	+	0.0624261i
$753$	−11.5866	+	20.0685i	−0.422238	+	0.731338i
$754$	9.39145	−	9.39145i	0.342016	−	0.342016i
$755$	−12.8372	−	10.2667i	−0.467192	−	0.373643i
$756$	−10.4294	−	18.0643i	−0.379314	−	0.656991i
$757$	−9.83235	+	5.67671i	−0.357363	+	0.206324i	−0.667923	−	0.744230i	$-0.732817\pi$
$757$	−9.83235	+	5.67671i	−0.357363	+	0.206324i	0.310560	+	0.950554i	$0.399483\pi$
$758$	−1.97427	−	1.13985i	−0.0717089	−	0.0414011i
$759$	−37.7832	+	10.1240i	−1.37144	+	0.367477i
$760$	3.77867	−	0.420405i	0.137067	−	0.0152497i
$761$	−35.2567	+	20.3554i	−1.27805	+	0.737884i	−0.976490	−	0.215562i	$-0.930842\pi$
$761$	−35.2567	+	20.3554i	−1.27805	+	0.737884i	−0.301563	+	0.953446i	$0.597508\pi$
$762$	−4.42073	+	2.55231i	−0.160146	+	0.0924605i
$763$	−63.2313			−2.28913
$764$	−3.83392	−	14.3084i	−0.138706	−	0.517660i
$765$	−15.8444	+	19.8114i	−0.572856	+	0.716282i
$766$	−26.8444			−0.969928
$767$	4.42131	+	4.42131i	0.159644	+	0.159644i
$768$	−1.13745	−	0.304778i	−0.0410441	−	0.0109977i
$769$	−6.70170	+	6.70170i	−0.241669	+	0.241669i	−0.817541	−	0.575871i	$-0.804663\pi$
$769$	−6.70170	+	6.70170i	−0.241669	+	0.241669i	0.575871	+	0.817541i	$0.304663\pi$
$770$	27.7857	+	37.7587i	1.00133	+	1.36073i
$771$	3.97076	+	3.97076i	0.143003	+	0.143003i
$772$	−2.49058	+	4.31381i	−0.0896378	+	0.155257i
$773$	−16.1768	+	4.33457i	−0.581840	+	0.155904i	−0.537721	−	0.843123i	$-0.680715\pi$
$773$	−16.1768	+	4.33457i	−0.581840	+	0.155904i	−0.0441187	+	0.999026i	$0.514048\pi$
$774$	−11.8288	−	6.82935i	−0.425176	−	0.245476i
$775$	−1.36564	−	2.60150i	−0.0490553	−	0.0934487i
$776$		−	3.18792i		−	0.114440i
$777$	−5.65314	+	26.9155i	−0.202805	+	0.965590i
$778$	21.8287	+	21.8287i	0.782596	+	0.782596i
$779$	1.69863	+	0.455148i	0.0608599	+	0.0163074i
$780$	−4.19433	+	3.08651i	−0.150181	+	0.110515i
$781$	−24.5074	−	14.1494i	−0.876944	−	0.506304i
$782$	37.0477	+	21.3895i	1.32482	+	0.764886i
$783$	36.4826			1.30378
$784$	6.70537	+	3.87135i	0.239477	+	0.138262i
$785$	−45.7258	−	20.0261i	−1.63203	−	0.714763i
$786$	−7.60210	−	13.1672i	−0.271158	−	0.469659i
$787$	8.59293	−	8.59293i	0.306305	−	0.306305i	−0.537169	−	0.843474i	$-0.680506\pi$
$787$	8.59293	−	8.59293i	0.306305	−	0.306305i	0.843474	+	0.537169i	$0.180506\pi$
$788$	13.3906	−	13.3906i	0.477022	−	0.477022i
$789$	0.247411	−	0.142843i	0.00880808	−	0.00508535i
$790$	7.45746	+	10.1341i	0.265324	+	0.360556i
$791$	41.8104	+	41.8104i	1.48661	+	1.48661i
$792$	4.40462	+	7.62902i	0.156511	+	0.271086i
$793$	1.37027	−	5.11391i	0.0486596	−	0.181600i
$794$	−3.50934	+	13.0970i	−0.124542	+	0.464797i
$795$	26.9479	+	4.10028i	0.955744	+	0.145422i
$796$	3.36582	+	12.5614i	0.119298	+	0.445227i
$797$	−10.0155	−	17.3473i	−0.354767	−	0.614474i	0.632311	−	0.774714i	$-0.282106\pi$
$797$	−10.0155	−	17.3473i	−0.354767	−	0.614474i	−0.987078	+	0.160241i	$0.948773\pi$
$798$	7.42583	+	1.98975i	0.262872	+	0.0704363i
$799$	12.0380	−	44.9266i	0.425875	−	1.58939i
$800$	3.67475	−	3.39060i	0.129922	−	0.119876i
$801$	−14.3759	+	3.85201i	−0.507948	+	0.136104i
$802$	5.73560	−	21.4056i	0.202531	−	0.755857i
$803$	15.7581	+	15.7581i	0.556091	+	0.556091i
$804$	−11.5380			−0.406915
$805$	−5.77538	−	51.9101i	−0.203556	−	1.82959i
$806$	−0.821777	−	0.821777i	−0.0289459	−	0.0289459i
$807$	19.8329	−	5.31420i	0.698150	−	0.187069i
$808$			4.98949i			0.175530i
$809$	−4.57318	−	17.0673i	−0.160784	−	0.600056i	−0.998540	−	0.0540108i	$-0.982799\pi$
$809$	−4.57318	−	17.0673i	−0.160784	−	0.600056i	0.837756	−	0.546045i	$-0.183867\pi$
$810$	−3.44244	−	0.523788i	−0.120955	−	0.0184040i
$811$	25.0711	−	43.4244i	0.880365	−	1.52484i	0.0294284	−	0.999567i	$-0.490631\pi$
$811$	25.0711	−	43.4244i	0.880365	−	1.52484i	0.850936	−	0.525269i	$-0.176035\pi$
$812$	−22.3307	+	12.8927i	−0.783655	+	0.452443i
$813$	−8.90178	+	8.90178i	−0.312199	+	0.312199i
$814$	6.82701	−	32.5046i	0.239287	−	1.13928i
$815$	0.0901151	−	0.0352223i	0.00315659	−	0.00123378i
$816$	−2.14321	+	7.99856i	−0.0750273	+	0.280006i
$817$	13.9046	−	3.72571i	0.486459	−	0.130346i
$818$	1.54318	+	5.75922i	0.0539560	+	0.201366i
$819$	11.8336	−	3.17080i	0.413499	−	0.110797i
$820$	2.15399	−	0.841907i	0.0752207	−	0.0294007i
$821$	12.7614	−	22.1033i	0.445375	−	0.771412i	−0.552703	−	0.833378i	$-0.686404\pi$
$821$	12.7614	−	22.1033i	0.445375	−	0.771412i	0.998078	+	0.0619661i	$0.0197371\pi$
$822$			14.1994i			0.495260i
$823$	1.14691	−	4.28034i	0.0399789	−	0.149203i	−0.943051	−	0.332648i	$-0.892058\pi$
$823$	1.14691	−	4.28034i	0.0399789	−	0.149203i	0.983030	+	0.183444i	$0.0587247\pi$
$824$		−	14.0366i		−	0.488988i
$825$	32.1236	+	1.29193i	1.11840	+	0.0449793i
$826$	−6.06961	−	10.5129i	−0.211189	−	0.365789i
$827$	39.5518	+	22.8353i	1.37535	+	0.794060i	0.991596	−	0.129375i	$-0.0412970\pi$
$827$	39.5518	+	22.8353i	1.37535	+	0.794060i	0.383756	+	0.923434i	$0.374630\pi$
$828$		−	9.81456i		−	0.341080i
$829$	9.51201	+	2.54873i	0.330366	+	0.0885212i	0.420189	−	0.907436i	$-0.361964\pi$
$829$	9.51201	+	2.54873i	0.330366	+	0.0885212i	−0.0898237	+	0.995958i	$0.528630\pi$
$830$	24.1216	−	2.68370i	0.837272	−	0.0931527i
$831$	−29.8067	−	7.98669i	−1.03398	−	0.277055i
$832$	0.988857	−	1.71275i	0.0342825	−	0.0593790i
$833$	27.2234	−	47.1523i	0.943235	−	1.63373i
$834$	−8.11039	−	2.17317i	−0.280840	−	0.0752508i
$835$	−19.4073	−	15.5213i	−0.671618	−	0.537135i
$836$	−8.96781	−	2.40292i	−0.310158	−	0.0831066i
$837$		−	3.19233i		−	0.110343i
$838$	17.7139	+	10.2271i	0.611917	+	0.353291i
$839$	−10.3121	−	17.8612i	−0.356015	−	0.616635i	0.631276	−	0.775558i	$-0.282531\pi$
$839$	−10.3121	−	17.8612i	−0.356015	−	0.616635i	−0.987291	+	0.158922i	$0.949198\pi$
$840$	9.41651	−	3.68052i	0.324900	−	0.126990i
$841$		−	16.0991i		−	0.555140i
$842$	−3.85165	+	14.3746i	−0.132737	+	0.495380i
$843$			9.92936i			0.341985i
$844$	7.52565	−	13.0348i	0.259044	−	0.448677i
$845$	7.39831	+	18.9283i	0.254510	+	0.651155i
$846$	−10.3073	+	2.76183i	−0.354372	+	0.0949536i
$847$	−18.6977	−	69.7808i	−0.642461	−	2.39770i
$848$	−9.99922	+	2.67928i	−0.343375	+	0.0920070i
$849$	0.123123	−	0.459501i	0.00422556	−	0.0157700i
$850$	−23.8428	−	25.8410i	−0.817801	−	0.886337i
$851$	−24.6941	+	27.5592i	−0.846503	+	0.944717i
$852$	−4.31541	+	4.31541i	−0.147844	+	0.147844i
$853$	30.6854	−	17.7162i	1.05065	−	0.606592i	0.127817	−	0.991798i	$-0.459203\pi$
$853$	30.6854	−	17.7162i	1.05065	−	0.606592i	0.922831	+	0.385206i	$0.125870\pi$
$854$	−5.13930	+	8.90153i	−0.175863	+	0.304604i
$855$	−4.94035	+	3.63549i	−0.168956	+	0.124331i
$856$	−3.43329	−	12.8132i	−0.117348	−	0.437947i
$857$			36.7729i			1.25614i	0.778157	+	0.628070i	$0.216155\pi$
$857$			36.7729i			1.25614i	−0.778157	+	0.628070i	$0.783845\pi$
$858$	12.2832	−	3.29128i	0.419343	−	0.112362i
$859$	21.4568	+	21.4568i	0.732097	+	0.732097i	0.971035	−	0.238938i	$-0.0767991\pi$
$859$	21.4568	+	21.4568i	0.732097	+	0.732097i	−0.238938	+	0.971035i	$0.576799\pi$
$860$	11.8240	−	14.7843i	0.403193	−	0.504141i
$861$	4.67635			0.159370
$862$	−0.820637	−	0.820637i	−0.0279510	−	0.0279510i
$863$	−8.86145	+	33.0714i	−0.301647	+	1.12576i	0.634146	+	0.773213i	$0.281352\pi$
$863$	−8.86145	+	33.0714i	−0.301647	+	1.12576i	−0.935793	+	0.352550i	$0.885315\pi$
$864$	5.24741	−	1.40604i	0.178521	−	0.0478345i
$865$	−23.9448	−	10.4869i	−0.814147	−	0.356564i
$866$	2.15769	−	8.05259i	0.0733212	−	0.273638i
$867$	36.9095	+	9.88986i	1.25351	+	0.335877i
$868$	1.12814	+	1.95400i	0.0382917	+	0.0663231i
$869$	−7.95221	−	29.6781i	−0.269760	−	1.00676i
$870$	−2.65996	+	17.4818i	−0.0901811	+	0.592689i
$871$	5.01537	−	18.7176i	0.169939	−	0.634223i
$872$	4.26226	−	15.9070i	0.144338	−	0.538678i
$873$	2.57157	+	4.45409i	0.0870345	+	0.150748i
$874$	7.31409	+	7.31409i	0.247403	+	0.247403i
$875$	−8.15769	+	42.1460i	−0.275780	+	1.42480i
$876$	4.16217	−	2.40303i	0.140627	−	0.0811909i
$877$	6.65023	−	6.65023i	0.224562	−	0.224562i	−0.585854	−	0.810416i	$-0.699241\pi$
$877$	6.65023	−	6.65023i	0.224562	−	0.224562i	0.810416	+	0.585854i	$0.199241\pi$
$878$	2.86856	−	2.86856i	0.0968092	−	0.0968092i
$879$	10.9871	+	19.0303i	0.370587	+	0.641875i
$880$	−11.3718	+	4.44478i	−0.383345	+	0.149834i
$881$	−8.98181	−	5.18565i	−0.302605	−	0.174709i	0.341008	−	0.940061i	$-0.389232\pi$
$881$	−8.98181	−	5.18565i	−0.302605	−	0.174709i	−0.643612	+	0.765352i	$0.722565\pi$
$882$	−12.4915			−0.420609
$883$	22.3998	+	12.9325i	0.753812	+	0.435214i	0.827070	−	0.562099i	$-0.190006\pi$
$883$	22.3998	+	12.9325i	0.753812	+	0.435214i	−0.0732576	+	0.997313i	$0.523340\pi$
$884$	−12.0441	−	6.95367i	−0.405087	−	0.233877i
$885$	−8.23010	−	1.25226i	−0.276652	−	0.0420942i
$886$	13.7278	+	3.67836i	0.461196	+	0.123577i
$887$	4.23639	+	4.23639i	0.142244	+	0.142244i	0.774643	−	0.632399i	$-0.217930\pi$
$887$	4.23639	+	4.23639i	0.142244	+	0.142244i	−0.632399	+	0.774643i	$0.717930\pi$
$888$	−6.39003	−	3.23646i	−0.214435	−	0.108608i
$889$			16.6442i			0.558230i
$890$	−2.28094	−	20.5014i	−0.0764571	−	0.687209i
$891$	7.36376	+	4.25147i	0.246695	+	0.142430i
$892$	22.4116	−	6.00516i	0.750394	−	0.201068i
$893$	5.62308	−	9.73946i	0.188169	−	0.325919i
$894$	−12.5922	−	12.5922i	−0.421147	−	0.421147i
$895$	−11.7054	+	8.61375i	−0.391269	+	0.287926i
$896$	−2.71502	+	2.71502i	−0.0907025	+	0.0907025i
$897$	−13.6850	−	3.66689i	−0.456929	−	0.122434i
$898$	10.9472	+	10.9472i	0.365313	+	0.365313i
$899$	−3.94629			−0.131616
$900$	−2.39922	+	7.70156i	−0.0799739	+	0.256719i
$901$	18.8408	+	70.3148i	0.627678	+	2.34252i
$902$	−5.64739			−0.188038
$903$	33.1509	−	19.1397i	1.10319	−	0.636928i
$904$	−13.3365	+	7.69982i	−0.443565	+	0.256092i
$905$	1.18044	−	1.47598i	0.0392390	−	0.0490633i
$906$	8.36156	−	2.24047i	0.277794	−	0.0744348i
$907$	−3.07441	−	1.77501i	−0.102084	−	0.0589382i	0.448089	−	0.893989i	$-0.352105\pi$
$907$	−3.07441	−	1.77501i	−0.102084	−	0.0589382i	−0.550173	+	0.835051i	$0.685438\pi$
$908$	17.8211	−	10.2890i	0.591414	−	0.341453i
$909$	−4.02483	−	6.97121i	−0.133495	−	0.231220i
$910$	1.87756	+	16.8758i	0.0622406	+	0.559429i
$911$	−28.6675	+	28.6675i	−0.949796	+	0.949796i	−0.998799	−	0.0490028i	$-0.984396\pi$
$911$	−28.6675	+	28.6675i	−0.949796	+	0.949796i	0.0490028	+	0.998799i	$0.484396\pi$
$912$	−1.00111	+	1.73398i	−0.0331502	+	0.0574178i
$913$	−57.2470	−	15.3393i	−1.89460	−	0.507657i
$914$		−	10.2333i		−	0.338489i
$915$	2.56606	+	6.56518i	0.0848313	+	0.217038i
$916$	11.3988	−	6.58111i	0.376627	−	0.217446i
$917$	−49.5751			−1.63712
$918$	−9.88731	−	36.8999i	−0.326330	−	1.21788i
$919$	34.5510	−	34.5510i	1.13973	−	1.13973i	0.151235	−	0.988498i	$-0.451675\pi$
$919$	34.5510	−	34.5510i	1.13973	−	1.13973i	0.988498	−	0.151235i	$-0.0483250\pi$
$920$	13.4482	+	2.04623i	0.443375	+	0.0674620i
$921$	4.65708	−	8.06629i	0.153456	−	0.265793i
$922$	−8.43499	−	31.4798i	−0.277792	−	1.03673i
$923$	−5.12488	−	8.87654i	−0.168687	−	0.292175i
$924$	−24.6884			−0.812190
$925$	26.1146	−	15.5893i	0.858644	−	0.512573i
$926$	11.5607			0.379909
$927$	11.3228	+	19.6116i	0.371889	+	0.644131i
$928$	−1.73812	−	6.48676i	−0.0570566	−	0.212938i
$929$	1.89221	−	3.27741i	0.0620815	−	0.107528i	−0.833314	−	0.552800i	$-0.813559\pi$
$929$	1.89221	−	3.27741i	0.0620815	−	0.107528i	0.895396	+	0.445271i	$0.146893\pi$
$930$	1.52971	+	0.232754i	0.0501611	+	0.00763230i
$931$	9.30898	−	9.30898i	0.305090	−	0.305090i
$932$	3.51249	+	13.1088i	0.115055	+	0.429392i
$933$	2.20987			0.0723480
$934$	30.5821	−	17.6566i	1.00068	−	0.577741i
$935$	31.2558	+	79.9671i	1.02217	+	2.61520i
$936$			3.19069i			0.104291i
$937$	4.91143	+	1.31601i	0.160449	+	0.0429923i	0.338150	−	0.941092i	$-0.390199\pi$
$937$	4.91143	+	1.31601i	0.160449	+	0.0429923i	−0.177700	+	0.984085i	$0.556866\pi$
$938$	−18.8106	+	32.5809i	−0.614187	+	1.06380i
$939$	−12.5996	+	12.5996i	−0.411174	+	0.411174i
$940$	−1.63539	−	14.6992i	−0.0533406	−	0.479434i
$941$	11.8857	+	20.5867i	0.387464	+	0.671107i	0.992108	−	0.125389i	$-0.0400179\pi$
$941$	11.8857	+	20.5867i	0.387464	+	0.671107i	−0.604644	+	0.796496i	$0.706685\pi$
$942$	22.7666	−	13.1443i	0.741777	−	0.428265i
$943$	5.44893	+	3.14594i	0.177442	+	0.102446i
$944$	3.05384	−	0.818273i	0.0993939	−	0.0266325i
$945$	−29.1316	+	36.4253i	−0.947651	+	1.18492i
$946$	−40.0346	+	23.1140i	−1.30164	+	0.751501i
$947$	−7.83661	+	4.52447i	−0.254656	+	0.147025i	−0.621894	−	0.783101i	$-0.713637\pi$
$947$	−7.83661	+	4.52447i	−0.254656	+	0.147025i	0.367239	+	0.930127i	$0.380303\pi$
$948$	−6.62617			−0.215208
$949$	2.08911	+	7.79667i	0.0678154	+	0.253091i
$950$	−3.95145	−	7.52738i	−0.128202	−	0.244220i
$951$	−18.5805			−0.602513
$952$	19.0921	+	19.0921i	0.618778	+	0.618778i
$953$	34.1356	+	9.14662i	1.10576	+	0.296288i	0.765109	−	0.643901i	$-0.222685\pi$
$953$	34.1356	+	9.14662i	1.10576	+	0.296288i	0.340653	+	0.940189i	$0.389352\pi$
$954$	11.8094	−	11.8094i	0.382344	−	0.382344i
$955$	−26.6783	+	19.6319i	−0.863290	+	0.635275i
$956$	15.6419	+	15.6419i	0.505896	+	0.505896i
$957$	21.5903	−	37.3955i	0.697916	−	1.20883i
$958$	−29.4424	+	7.88906i	−0.951239	+	0.254884i
$959$	40.0959	+	23.1494i	1.29476	+	0.747533i
$960$	0.291159	+	2.61699i	0.00939712	+	0.0844629i
$961$		−	30.6547i		−	0.988861i
$962$	8.02800	−	8.95943i	0.258833	−	0.288864i
$963$	15.1329	+	15.1329i	0.487649	+	0.487649i
$964$	−13.9900	−	3.74860i	−0.450587	−	0.120734i
$965$	11.0115	+	1.67546i	0.354472	+	0.0539349i
$966$	23.8208	+	13.7530i	0.766422	+	0.442494i
$967$	−11.5206	−	6.65140i	−0.370476	−	0.213895i	0.303190	−	0.952930i	$-0.401948\pi$
$967$	−11.5206	−	6.65140i	−0.370476	−	0.213895i	−0.673667	+	0.739035i	$0.735282\pi$
$968$	18.8150			0.604737
$969$	12.1934	+	7.03985i	0.391708	+	0.226153i
$970$	−6.63928	+	2.59502i	−0.213174	+	0.0833210i
$971$	−0.343929	−	0.595702i	−0.0110372	−	0.0191170i	0.860454	−	0.509528i	$-0.170180\pi$
$971$	−0.343929	−	0.595702i	−0.0110372	−	0.0191170i	−0.871491	+	0.490411i	$0.836847\pi$
$972$	−10.2275	+	10.2275i	−0.328046	+	0.328046i
$973$	−19.3590	+	19.3590i	−0.620622	+	0.620622i
$974$	4.51800	−	2.60847i	0.144766	−	0.0835807i
$975$	9.84233	+	6.22280i	0.315207	+	0.199289i
$976$	−1.89291	−	1.89291i	−0.0605907	−	0.0605907i
$977$	16.0660	+	27.8272i	0.513998	+	0.890271i	0.999868	+	0.0162399i	$0.00516954\pi$
$977$	16.0660	+	27.8272i	0.513998	+	0.890271i	−0.485870	+	0.874031i	$0.661497\pi$
$978$	−0.0131877	+	0.0492170i	−0.000421695	+	0.00157379i
$979$	−13.0372	+	48.6555i	−0.416670	+	1.55504i
$980$	2.60433	−	17.1162i	0.0831922	−	0.546756i
$981$	6.87640	+	25.6631i	0.219547	+	0.819359i
$982$	7.83997	+	13.5792i	0.250184	+	0.433331i
$983$	12.8190	+	3.43483i	0.408861	+	0.109554i	0.457387	−	0.889268i	$-0.348786\pi$
$983$	12.8190	+	3.43483i	0.408861	+	0.109554i	−0.0485254	+	0.998822i	$0.515452\pi$
$984$	−0.315221	+	1.17642i	−0.0100489	+	0.0375029i
$985$	−38.7880	−	16.9876i	−1.23589	−	0.541271i
$986$	−45.6150	+	12.2225i	−1.45268	+	0.389244i
$987$	7.74019	−	28.8868i	0.246373	−	0.919476i
$988$	−2.37779	−	2.37779i	−0.0756476	−	0.0756476i
$989$	51.5036			1.63772
$990$	12.3031	−	15.3834i	0.391017	−	0.488916i
$991$	3.74285	+	3.74285i	0.118895	+	0.118895i	0.764051	−	0.645156i	$-0.223207\pi$
$991$	3.74285	+	3.74285i	0.118895	+	0.118895i	−0.645156	+	0.764051i	$0.723207\pi$
$992$	−0.567609	+	0.152090i	−0.0180216	+	0.00482888i
$993$		−	12.6679i		−	0.402005i
$994$	5.15032	+	19.2213i	0.163358	+	0.609661i
$995$	23.4210	−	17.2350i	0.742496	−	0.546386i
$996$	−6.39072	+	11.0690i	−0.202498	+	0.350736i
$997$	−5.80081	+	3.34910i	−0.183713	+	0.106067i	−0.589036	−	0.808107i	$-0.700492\pi$
$997$	−5.80081	+	3.34910i	−0.183713	+	0.106067i	0.405323	+	0.914174i	$0.367159\pi$
$998$	20.6263	−	20.6263i	0.652915	−	0.652915i
$999$	32.9952	−	1.80916i	1.04392	−	0.0572392i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.q.f.103.7	yes	32
5.2	odd	4		370.2.r.f.177.7	yes	32
37.23	odd	12		370.2.r.f.23.7	yes	32
185.97	even	12	inner	370.2.q.f.97.7	✓	32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.q.f.97.7	✓	32	185.97	even	12	inner
370.2.q.f.103.7	yes	32	1.1	even	1	trivial
370.2.r.f.23.7	yes	32	37.23	odd	12
370.2.r.f.177.7	yes	32	5.2	odd	4

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)

\(f(q)\)	\(=\)	\(q+(0.500000 + 0.866025i) q^{2} +(0.304778 + 1.13745i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(2.21062 + 0.336359i) q^{5} +(-0.832670 + 0.832670i) q^{6} +(0.993767 + 3.70879i) q^{7} -1.00000 q^{8} +(1.39718 - 0.806661i) q^{9} +O(q^{10})\)	\(q+(0.500000 + 0.866025i) q^{2} +(0.304778 + 1.13745i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(2.21062 + 0.336359i) q^{5} +(-0.832670 + 0.832670i) q^{6} +(0.993767 + 3.70879i) q^{7} -1.00000 q^{8} +(1.39718 - 0.806661i) q^{9} +(0.814017 + 2.08264i) q^{10} -5.46031i q^{11} +(-1.13745 - 0.304778i) q^{12} +(0.988857 - 1.71275i) q^{13} +(-2.71502 + 2.71502i) q^{14} +(0.291159 + 2.61699i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-6.08991 + 3.51601i) q^{17} +(1.39718 + 0.806661i) q^{18} +(-1.64236 + 0.440070i) q^{19} +(-1.39661 + 1.74628i) q^{20} +(-3.91568 + 2.26072i) q^{21} +(4.72877 - 2.73016i) q^{22} -6.08345 q^{23} +(-0.304778 - 1.13745i) q^{24} +(4.77372 + 1.48713i) q^{25} +1.97771 q^{26} +(3.84137 + 3.84137i) q^{27} +(-3.70879 - 0.993767i) q^{28} +(4.74864 - 4.74864i) q^{29} +(-2.12080 + 1.56064i) q^{30} +(-0.415519 - 0.415519i) q^{31} +(0.500000 - 0.866025i) q^{32} +(6.21082 - 1.66418i) q^{33} +(-6.08991 - 3.51601i) q^{34} +(0.949360 + 8.53300i) q^{35} +1.61332i q^{36} +(4.05923 - 4.53019i) q^{37} +(-1.20229 - 1.20229i) q^{38} +(2.24955 + 0.602764i) q^{39} +(-2.21062 - 0.336359i) q^{40} +(-0.895698 - 0.517131i) q^{41} +(-3.91568 - 2.26072i) q^{42} -8.46619 q^{43} +(4.72877 + 2.73016i) q^{44} +(3.35996 - 1.31327i) q^{45} +(-3.04172 - 5.26842i) q^{46} +(-4.67697 + 4.67697i) q^{47} +(0.832670 - 0.832670i) q^{48} +(-6.70537 + 3.87135i) q^{49} +(1.09897 + 4.87773i) q^{50} +(-5.85535 - 5.85535i) q^{51} +(0.988857 + 1.71275i) q^{52} +(2.67928 - 9.99922i) q^{53} +(-1.40604 + 5.24741i) q^{54} +(1.83663 - 12.0707i) q^{55} +(-0.993767 - 3.70879i) q^{56} +(-1.00111 - 1.73398i) q^{57} +(6.48676 + 1.73812i) q^{58} +(-0.818273 + 3.05384i) q^{59} +(-2.41196 - 1.05634i) q^{60} +(2.58577 - 0.692854i) q^{61} +(0.152090 - 0.567609i) q^{62} +(4.38021 + 4.38021i) q^{63} +1.00000 q^{64} +(2.76209 - 3.45364i) q^{65} +(4.54664 + 4.54664i) q^{66} +(9.46427 - 2.53594i) q^{67} -7.03202i q^{68} +(-1.85410 - 6.91961i) q^{69} +(-6.91512 + 5.08867i) q^{70} +(2.59131 - 4.48828i) q^{71} +(-1.39718 + 0.806661i) q^{72} +(-2.88594 + 2.88594i) q^{73} +(5.95288 + 1.25030i) q^{74} +(-0.236604 + 5.88311i) q^{75} +(0.440070 - 1.64236i) q^{76} +(20.2511 - 5.42628i) q^{77} +(0.602764 + 2.24955i) q^{78} +(5.43524 - 1.45637i) q^{79} +(-0.814017 - 2.08264i) q^{80} +(-0.778613 + 1.34860i) q^{81} -1.03426i q^{82} +(2.80923 - 10.4842i) q^{83} -4.52143i q^{84} +(-14.6452 + 5.72418i) q^{85} +(-4.23309 - 7.33194i) q^{86} +(6.84861 + 3.95405i) q^{87} +5.46031i q^{88} +(-8.91075 - 2.38763i) q^{89} +(2.81731 + 2.25318i) q^{90} +(7.33493 + 1.96539i) q^{91} +(3.04172 - 5.26842i) q^{92} +(0.345990 - 0.599272i) q^{93} +(-6.38885 - 1.71189i) q^{94} +(-3.77867 + 0.420405i) q^{95} +(1.13745 + 0.304778i) q^{96} +3.18792i q^{97} +(-6.70537 - 3.87135i) q^{98} +(-4.40462 - 7.62902i) 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

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