LMFDB - Embedded newform 370.2.r.d.193.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(23,370)]

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([9, 5]))

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

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

chi := DirichletCharacter("370.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.r (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:	$12$
Relative dimension:	$3$ over $\Q(\zeta_{12})$
Coefficient field:	$\mathbb{Q}[x]/(x^{12} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} - 2x^{11} - 4x^{10} + 6x^{8} + 44x^{7} + 56x^{6} + 32x^{5} + 92x^{4} - 16x^{3} + 36x^{2} - 24x + 4 $ x^12 - 2x^11 - 4x^10 + 6x^8 + 44x^7 + 56x^6 + 32x^5 + 92x^4 - 16x^3 + 36x^2 - 24x + 4
Coefficient ring:	$\Z[a_1, \ldots, a_{7}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			193.3
Root			$0.273238 - 1.01974i$ of defining polynomial
Character	$\chi$	$=$	370.193
Dual form			370.2.r.d.347.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.866025 + 0.500000i) q^{2} +(0.803766 + 2.99969i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-0.0397852 + 2.23571i) q^{5} +(-2.19593 - 2.19593i) q^{6} +(-0.886874 - 3.30986i) q^{7} +1.00000i q^{8} +(-5.75405 + 3.32210i) q^{9} +O(q^{10})$	\(q+(-0.866025 + 0.500000i) q^{2} +(0.803766 + 2.99969i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-0.0397852 + 2.23571i) q^{5} +(-2.19593 - 2.19593i) q^{6} +(-0.886874 - 3.30986i) q^{7} +1.00000i q^{8} +(-5.75405 + 3.32210i) q^{9} +(-1.08340 - 1.95608i) q^{10} +4.03948i q^{11} +(2.99969 + 0.803766i) q^{12} +(-3.29652 - 1.90324i) q^{13} +(2.42298 + 2.42298i) q^{14} +(-6.73844 + 1.67765i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(1.42969 + 2.47629i) q^{17} +(3.32210 - 5.75405i) q^{18} +(1.23682 + 4.61588i) q^{19} +(1.91629 + 1.15231i) q^{20} +(9.21572 - 5.32070i) q^{21} +(-2.01974 - 3.49829i) q^{22} -5.69196i q^{23} +(-2.99969 + 0.803766i) q^{24} +(-4.99683 - 0.177897i) q^{25} +3.80649 q^{26} +(-8.00242 - 8.00242i) q^{27} +(-3.30986 - 0.886874i) q^{28} +(2.30462 + 2.30462i) q^{29} +(4.99683 - 4.82210i) q^{30} +(1.95911 - 1.95911i) q^{31} +(0.866025 + 0.500000i) q^{32} +(-12.1172 + 3.24680i) q^{33} +(-2.47629 - 1.42969i) q^{34} +(7.43518 - 1.85111i) q^{35} +6.64421i q^{36} +(5.52666 - 2.54088i) q^{37} +(-3.37906 - 3.37906i) q^{38} +(3.05953 - 11.4183i) q^{39} +(-2.23571 - 0.0397852i) q^{40} +(4.19231 + 2.42043i) q^{41} +(-5.32070 + 9.21572i) q^{42} +8.10447i q^{43} +(3.49829 + 2.01974i) q^{44} +(-7.19835 - 12.9966i) q^{45} +(2.84598 + 4.92938i) q^{46} +(-5.47365 + 5.47365i) q^{47} +(2.19593 - 2.19593i) q^{48} +(-4.10644 + 2.37085i) q^{49} +(4.41633 - 2.34435i) q^{50} +(-6.27898 + 6.27898i) q^{51} +(-3.29652 + 1.90324i) q^{52} +(1.82819 - 6.82289i) q^{53} +(10.9315 + 2.92909i) q^{54} +(-9.03112 - 0.160712i) q^{55} +(3.30986 - 0.886874i) q^{56} +(-12.8521 + 7.42018i) q^{57} +(-3.14818 - 0.843551i) q^{58} +(-4.59917 - 1.23234i) q^{59} +(-1.91633 + 6.67448i) q^{60} +(2.89992 + 10.8227i) q^{61} +(-0.717083 + 2.67619i) q^{62} +(16.0988 + 16.0988i) q^{63} -1.00000 q^{64} +(4.38626 - 7.29435i) q^{65} +(8.87041 - 8.87041i) q^{66} +(5.28966 - 1.41736i) q^{67} +2.85938 q^{68} +(17.0741 - 4.57500i) q^{69} +(-5.51350 + 5.32070i) q^{70} +(-5.05611 + 8.75743i) q^{71} +(-3.32210 - 5.75405i) q^{72} +(7.11167 - 7.11167i) q^{73} +(-3.51578 + 4.96380i) q^{74} +(-3.48265 - 15.1320i) q^{75} +(4.61588 + 1.23682i) q^{76} +(13.3701 - 3.58251i) q^{77} +(3.05953 + 11.4183i) q^{78} +(2.88137 + 10.7534i) q^{79} +(1.95608 - 1.08340i) q^{80} +(7.60643 - 13.1747i) q^{81} -4.84086 q^{82} +(-0.739978 + 2.76164i) q^{83} -10.6414i q^{84} +(-5.59316 + 3.09785i) q^{85} +(-4.05223 - 7.01868i) q^{86} +(-5.06079 + 8.76555i) q^{87} -4.03948 q^{88} +(3.14045 - 11.7203i) q^{89} +(12.7322 + 7.65620i) q^{90} +(-3.37587 + 12.5989i) q^{91} +(-4.92938 - 2.84598i) q^{92} +(7.45138 + 4.30206i) q^{93} +(2.00350 - 7.47715i) q^{94} +(-10.3690 + 2.58154i) q^{95} +(-0.803766 + 2.99969i) q^{96} +10.0871 q^{97} +(2.37085 - 4.10644i) q^{98} +(-13.4196 - 23.2434i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q + 6 q^{3} + 6 q^{4} - 8 q^{5} + 6 q^{6} - 4 q^{7} - 18 q^{9}+O(q^{10}) $ 12 * q + 6 * q^3 + 6 * q^4 - 8 * q^5 + 6 * q^6 - 4 * q^7 - 18 * q^9	$ 12 q + 6 q^{3} + 6 q^{4} - 8 q^{5} + 6 q^{6} - 4 q^{7} - 18 q^{9} - 4 q^{10} - 6 q^{13} - 8 q^{14} - 14 q^{15} - 6 q^{16} + 12 q^{17} + 10 q^{18} + 8 q^{19} - 4 q^{20} + 54 q^{21} - 10 q^{22} - 10 q^{25} - 18 q^{27} + 4 q^{28} - 4 q^{29} + 10 q^{30} - 2 q^{31} - 28 q^{33} - 12 q^{34} + 14 q^{35} + 12 q^{37} + 16 q^{38} + 30 q^{39} - 2 q^{40} + 12 q^{41} - 22 q^{42} - 6 q^{44} + 24 q^{45} + 2 q^{46} - 28 q^{47} - 6 q^{48} - 24 q^{49} + 16 q^{50} - 8 q^{51} - 6 q^{52} + 14 q^{53} + 18 q^{54} - 32 q^{55} - 4 q^{56} - 72 q^{57} - 10 q^{58} + 14 q^{60} + 24 q^{61} - 16 q^{62} + 8 q^{63} - 12 q^{64} - 26 q^{65} + 8 q^{66} + 18 q^{67} + 24 q^{68} + 40 q^{69} + 6 q^{70} - 10 q^{72} + 28 q^{73} - 38 q^{74} - 30 q^{75} - 8 q^{76} + 26 q^{77} + 30 q^{78} + 56 q^{79} + 4 q^{80} + 4 q^{81} - 28 q^{82} + 14 q^{83} + 28 q^{85} - 22 q^{86} - 10 q^{87} - 20 q^{88} + 2 q^{89} + 42 q^{90} + 38 q^{91} - 18 q^{92} + 18 q^{93} + 16 q^{94} - 56 q^{95} - 6 q^{96} - 44 q^{97} + 22 q^{98} - 28 q^{99}+O(q^{100}) $ 12 * q + 6 * q^3 + 6 * q^4 - 8 * q^5 + 6 * q^6 - 4 * q^7 - 18 * q^9 - 4 * q^10 - 6 * q^13 - 8 * q^14 - 14 * q^15 - 6 * q^16 + 12 * q^17 + 10 * q^18 + 8 * q^19 - 4 * q^20 + 54 * q^21 - 10 * q^22 - 10 * q^25 - 18 * q^27 + 4 * q^28 - 4 * q^29 + 10 * q^30 - 2 * q^31 - 28 * q^33 - 12 * q^34 + 14 * q^35 + 12 * q^37 + 16 * q^38 + 30 * q^39 - 2 * q^40 + 12 * q^41 - 22 * q^42 - 6 * q^44 + 24 * q^45 + 2 * q^46 - 28 * q^47 - 6 * q^48 - 24 * q^49 + 16 * q^50 - 8 * q^51 - 6 * q^52 + 14 * q^53 + 18 * q^54 - 32 * q^55 - 4 * q^56 - 72 * q^57 - 10 * q^58 + 14 * q^60 + 24 * q^61 - 16 * q^62 + 8 * q^63 - 12 * q^64 - 26 * q^65 + 8 * q^66 + 18 * q^67 + 24 * q^68 + 40 * q^69 + 6 * q^70 - 10 * q^72 + 28 * q^73 - 38 * q^74 - 30 * q^75 - 8 * q^76 + 26 * q^77 + 30 * q^78 + 56 * q^79 + 4 * q^80 + 4 * q^81 - 28 * q^82 + 14 * q^83 + 28 * q^85 - 22 * q^86 - 10 * q^87 - 20 * q^88 + 2 * q^89 + 42 * q^90 + 38 * q^91 - 18 * q^92 + 18 * q^93 + 16 * q^94 - 56 * q^95 - 6 * q^96 - 44 * q^97 + 22 * q^98 - 28 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−0.866025	+	0.500000i	−0.612372	+	0.353553i
$2$	−0.866025	+	0.500000i	−0.612372	+	0.353553i
$3$	0.803766	+	2.99969i	0.464054	+	1.73187i	0.660006	+	0.751261i	$0.270554\pi$
$3$	0.803766	+	2.99969i	0.464054	+	1.73187i	−0.195951	+	0.980614i	$0.562779\pi$
$4$	0.500000	−	0.866025i	0.250000	−	0.433013i
$5$	−0.0397852	+	2.23571i	−0.0177925	+	0.999842i
$5$	−0.0397852	+	2.23571i	−0.0177925	+	0.999842i
$6$	−2.19593	−	2.19593i	−0.896484	−	0.896484i
$7$	−0.886874	−	3.30986i	−0.335207	−	1.25101i	−0.903645	−	0.428283i	$-0.859119\pi$
$7$	−0.886874	−	3.30986i	−0.335207	−	1.25101i	0.568438	−	0.822726i	$-0.307548\pi$
$8$			1.00000i			0.353553i
$9$	−5.75405	+	3.32210i	−1.91802	+	1.10737i
$10$	−1.08340	−	1.95608i	−0.342602	−	0.618566i
$11$			4.03948i			1.21795i	0.793190	+	0.608974i	$0.208419\pi$
$11$			4.03948i			1.21795i	−0.793190	+	0.608974i	$0.791581\pi$
$12$	2.99969	+	0.803766i	0.865937	+	0.232027i
$13$	−3.29652	−	1.90324i	−0.914289	−	0.527865i	−0.0324804	−	0.999472i	$-0.510341\pi$
$13$	−3.29652	−	1.90324i	−0.914289	−	0.527865i	−0.881809	+	0.471607i	$0.843674\pi$
$14$	2.42298	+	2.42298i	0.647570	+	0.647570i
$15$	−6.73844	+	1.67765i	−1.73986	+	0.433167i
$16$	−0.500000	−	0.866025i	−0.125000	−	0.216506i
$17$	1.42969	+	2.47629i	0.346750	+	0.600589i	0.985670	−	0.168684i	$-0.0539518\pi$
$17$	1.42969	+	2.47629i	0.346750	+	0.600589i	−0.638920	+	0.769273i	$0.720619\pi$
$18$	3.32210	−	5.75405i	0.783027	−	1.35624i
$19$	1.23682	+	4.61588i	0.283747	+	1.05896i	0.949750	+	0.313008i	$0.101337\pi$
$19$	1.23682	+	4.61588i	0.283747	+	1.05896i	−0.666004	+	0.745948i	$0.731997\pi$
$20$	1.91629	+	1.15231i	0.428496	+	0.257665i
$21$	9.21572	−	5.32070i	2.01104	−	1.16107i
$22$	−2.01974	−	3.49829i	−0.430610	−	0.745838i
$23$		−	5.69196i		−	1.18686i	−0.804887	−	0.593428i	$-0.797774\pi$
$23$		−	5.69196i		−	1.18686i	0.804887	−	0.593428i	$-0.202226\pi$
$24$	−2.99969	+	0.803766i	−0.612310	+	0.164068i
$25$	−4.99683	−	0.177897i	−0.999367	−	0.0355794i
$26$	3.80649			0.746514
$27$	−8.00242	−	8.00242i	−1.54007	−	1.54007i
$28$	−3.30986	−	0.886874i	−0.625504	−	0.167603i
$29$	2.30462	+	2.30462i	0.427958	+	0.427958i	0.887932	−	0.459974i	$-0.152141\pi$
$29$	2.30462	+	2.30462i	0.427958	+	0.427958i	−0.459974	+	0.887932i	$0.652141\pi$
$30$	4.99683	−	4.82210i	0.912293	−	0.880392i
$31$	1.95911	−	1.95911i	0.351866	−	0.351866i	−0.508938	−	0.860803i	$-0.669962\pi$
$31$	1.95911	−	1.95911i	0.351866	−	0.351866i	0.860803	+	0.508938i	$0.169962\pi$
$32$	0.866025	+	0.500000i	0.153093	+	0.0883883i
$33$	−12.1172	+	3.24680i	−2.10933	+	0.565195i
$34$	−2.47629	−	1.42969i	−0.424680	−	0.245189i
$35$	7.43518	−	1.85111i	1.25677	−	0.312895i
$36$			6.64421i			1.10737i
$37$	5.52666	−	2.54088i	0.908577	−	0.417718i
$37$	5.52666	−	2.54088i	0.908577	−	0.417718i
$38$	−3.37906	−	3.37906i	−0.548156	−	0.548156i
$39$	3.05953	−	11.4183i	0.489916	−	1.82839i
$40$	−2.23571	−	0.0397852i	−0.353497	−	0.00629060i
$41$	4.19231	+	2.42043i	0.654728	+	0.378008i	0.790265	−	0.612765i	$-0.209943\pi$
$41$	4.19231	+	2.42043i	0.654728	+	0.378008i	−0.135537	+	0.990772i	$0.543276\pi$
$42$	−5.32070	+	9.21572i	−0.821002	+	1.42202i
$43$			8.10447i			1.23592i	0.786210	+	0.617960i	$0.212041\pi$
$43$			8.10447i			1.23592i	−0.786210	+	0.617960i	$0.787959\pi$
$44$	3.49829	+	2.01974i	0.527387	+	0.304487i
$45$	−7.19835	−	12.9966i	−1.07307	−	1.93742i
$46$	2.84598	+	4.92938i	0.419617	+	0.726798i
$47$	−5.47365	+	5.47365i	−0.798414	+	0.798414i	−0.982845	−	0.184431i	$-0.940956\pi$
$47$	−5.47365	+	5.47365i	−0.798414	+	0.798414i	0.184431	+	0.982845i	$0.440956\pi$
$48$	2.19593	−	2.19593i	0.316955	−	0.316955i
$49$	−4.10644	+	2.37085i	−0.586634	+	0.338693i
$50$	4.41633	−	2.34435i	0.624564	−	0.331542i
$51$	−6.27898	+	6.27898i	−0.879234	+	0.879234i
$52$	−3.29652	+	1.90324i	−0.457145	+	0.263933i
$53$	1.82819	−	6.82289i	0.251121	−	0.937197i	−0.719086	−	0.694921i	$-0.755439\pi$
$53$	1.82819	−	6.82289i	0.251121	−	0.937197i	0.970207	−	0.242276i	$-0.0778939\pi$
$54$	10.9315	+	2.92909i	1.48759	+	0.398598i
$55$	−9.03112	−	0.160712i	−1.21776	−	0.0216704i
$56$	3.30986	−	0.886874i	0.442298	−	0.118513i
$57$	−12.8521	+	7.42018i	−1.70231	+	0.982827i
$58$	−3.14818	−	0.843551i	−0.413376	−	0.110764i
$59$	−4.59917	−	1.23234i	−0.598761	−	0.160438i	−0.0533070	−	0.998578i	$-0.516976\pi$
$59$	−4.59917	−	1.23234i	−0.598761	−	0.160438i	−0.545454	+	0.838141i	$0.683643\pi$
$60$	−1.91633	+	6.67448i	−0.247398	+	0.861672i
$61$	2.89992	+	10.8227i	0.371297	+	1.38570i	0.858681	+	0.512511i	$0.171285\pi$
$61$	2.89992	+	10.8227i	0.371297	+	1.38570i	−0.487384	+	0.873188i	$0.662049\pi$
$62$	−0.717083	+	2.67619i	−0.0910696	+	0.339876i
$63$	16.0988	+	16.0988i	2.02826	+	2.02826i
$64$	−1.00000			−0.125000
$65$	4.38626	−	7.29435i	0.544049	−	0.904752i
$66$	8.87041	−	8.87041i	1.09187	−	1.09187i
$67$	5.28966	−	1.41736i	0.646235	−	0.173158i	0.0792088	−	0.996858i	$-0.474761\pi$
$67$	5.28966	−	1.41736i	0.646235	−	0.173158i	0.567026	+	0.823700i	$0.308094\pi$
$68$	2.85938			0.346750
$69$	17.0741	−	4.57500i	2.05549	−	0.550766i
$70$	−5.51350	+	5.32070i	−0.658989	+	0.635945i
$71$	−5.05611	+	8.75743i	−0.600049	+	1.03932i	0.392763	+	0.919640i	$0.371519\pi$
$71$	−5.05611	+	8.75743i	−0.600049	+	1.03932i	−0.992813	+	0.119677i	$0.961814\pi$
$72$	−3.32210	−	5.75405i	−0.391514	−	0.678121i
$73$	7.11167	−	7.11167i	0.832359	−	0.832359i	−0.155480	−	0.987839i	$-0.549693\pi$
$73$	7.11167	−	7.11167i	0.832359	−	0.832359i	0.987839	+	0.155480i	$0.0496926\pi$
$74$	−3.51578	+	4.96380i	−0.408701	+	0.577030i
$75$	−3.48265	−	15.1320i	−0.402142	−	1.74729i
$76$	4.61588	+	1.23682i	0.529478	+	0.141873i
$77$	13.3701	−	3.58251i	1.52366	−	0.408265i
$78$	3.05953	+	11.4183i	0.346423	+	1.29287i
$79$	2.88137	+	10.7534i	0.324179	+	1.20985i	0.915134	+	0.403149i	$0.132084\pi$
$79$	2.88137	+	10.7534i	0.324179	+	1.20985i	−0.590955	+	0.806705i	$0.701249\pi$
$80$	1.95608	−	1.08340i	0.218696	−	0.121128i
$81$	7.60643	−	13.1747i	0.845159	−	1.46386i
$82$	−4.84086			−0.534583
$83$	−0.739978	+	2.76164i	−0.0812231	+	0.303129i	−0.994572	−	0.104049i	$-0.966820\pi$
$83$	−0.739978	+	2.76164i	−0.0812231	+	0.303129i	0.913349	+	0.407177i	$0.133487\pi$
$84$		−	10.6414i		−	1.16107i
$85$	−5.59316	+	3.09785i	−0.606663	+	0.336009i
$86$	−4.05223	−	7.01868i	−0.436964	−	0.756843i
$87$	−5.06079	+	8.76555i	−0.542574	+	0.939765i
$88$	−4.03948			−0.430610
$89$	3.14045	−	11.7203i	0.332887	−	1.24235i	−0.573256	−	0.819377i	$-0.694320\pi$
$89$	3.14045	−	11.7203i	0.332887	−	1.24235i	0.906142	−	0.422973i	$-0.139014\pi$
$90$	12.7322	+	7.65620i	1.34210	+	0.807034i
$91$	−3.37587	+	12.5989i	−0.353888	+	1.32073i
$92$	−4.92938	−	2.84598i	−0.513924	−	0.296714i
$93$	7.45138	+	4.30206i	0.772672	+	0.446103i
$94$	2.00350	−	7.47715i	0.206645	−	0.771209i
$95$	−10.3690	+	2.58154i	−1.06384	+	0.264860i
$96$	−0.803766	+	2.99969i	−0.0820340	+	0.306155i
$97$	10.0871			1.02419			0.512093	−	0.858930i	$-0.328870\pi$
$97$	10.0871			1.02419			0.512093	+	0.858930i	$0.328870\pi$
$98$	2.37085	−	4.10644i	0.239492	−	0.414813i
$99$	−13.4196	−	23.2434i	−1.34872	−	2.33605i
$100$	−2.65248	+	4.23844i	−0.265248	+	0.423844i
$101$		−	13.0100i		−	1.29454i	−0.762261	−	0.647270i	$-0.775911\pi$
$101$		−	13.0100i		−	1.29454i	0.762261	−	0.647270i	$-0.224089\pi$
$102$	2.29827	−	8.57725i	0.227562	−	0.849274i
$103$	−2.79311			−0.275213			−0.137606	−	0.990487i	$-0.543941\pi$
$103$	−2.79311			−0.275213			−0.137606	+	0.990487i	$0.543941\pi$
$104$	1.90324	−	3.29652i	0.186628	−	0.323250i
$105$	11.5289	+	20.8154i	1.12511	+	2.03138i
$106$	1.82819	+	6.82289i	0.177569	+	0.662698i
$107$	3.02498	+	11.2894i	0.292436	+	1.09138i	0.943233	+	0.332133i	$0.107768\pi$
$107$	3.02498	+	11.2894i	0.292436	+	1.09138i	−0.650797	+	0.759252i	$0.725565\pi$
$108$	−10.9315	+	2.92909i	−1.05188	+	0.281852i
$109$	−0.0531273	−	0.0142354i	−0.00508867	−	0.00136351i	0.256274	−	0.966604i	$-0.417505\pi$
$109$	−0.0531273	−	0.0142354i	−0.00508867	−	0.00136351i	−0.261362	+	0.965241i	$0.584172\pi$
$110$	7.90154	−	4.37638i	0.753382	−	0.417271i
$111$	12.0640	+	14.5360i	1.14506	+	1.37970i
$112$	−2.42298	+	2.42298i	−0.228950	+	0.228950i
$113$	10.0261	+	17.3656i	0.943172	+	1.63362i	0.759371	+	0.650658i	$0.225507\pi$
$113$	10.0261	+	17.3656i	0.943172	+	1.63362i	0.183801	+	0.982963i	$0.441160\pi$
$114$	7.42018	−	12.8521i	0.694963	−	1.20371i
$115$	12.7256	+	0.226456i	1.18667	+	0.0211171i
$116$	3.14818	−	0.843551i	0.292301	−	0.0783217i
$117$	25.2911			2.33816
$118$	4.59917	−	1.23234i	0.423388	−	0.113447i
$119$	6.92822	−	6.92822i	0.635109	−	0.635109i
$120$	−1.67765	−	6.73844i	−0.153147	−	0.615132i
$121$	−5.31740			−0.483400
$122$	−7.92273	−	7.92273i	−0.717291	−	0.717291i
$123$	−3.89092	+	14.5211i	−0.350832	+	1.30932i
$124$	−0.717083	−	2.67619i	−0.0643959	−	0.240329i
$125$	0.596527	−	11.1644i	0.0533550	−	0.998576i
$126$	−21.9914	−	5.89257i	−1.95915	−	0.524952i
$127$	−18.3221	−	4.90938i	−1.62582	−	0.435637i	−0.673116	−	0.739537i	$-0.735044\pi$
$127$	−18.3221	−	4.90938i	−1.62582	−	0.435637i	−0.952704	+	0.303900i	$0.901711\pi$
$128$	0.866025	−	0.500000i	0.0765466	−	0.0441942i
$129$	−24.3109	+	6.51409i	−2.14046	+	0.573534i
$130$	−0.151442	+	8.51022i	−0.0132823	+	0.746396i
$131$	16.8956	+	4.52715i	1.47617	+	0.395539i	0.905042	−	0.425322i	$-0.139839\pi$
$131$	16.8956	+	4.52715i	1.47617	+	0.395539i	0.571129	+	0.820860i	$0.306506\pi$
$132$	−3.24680	+	12.1172i	−0.282597	+	1.05467i
$133$	14.1810	−	8.18741i	1.22965	−	0.709939i
$134$	−3.87230	+	3.87230i	−0.334516	+	0.334516i
$135$	18.2095	−	17.5727i	1.56722	−	1.51242i
$136$	−2.47629	+	1.42969i	−0.212340	+	0.122595i
$137$	−5.74044	+	5.74044i	−0.490439	+	0.490439i	−0.908445	−	0.418005i	$-0.862729\pi$
$137$	−5.74044	+	5.74044i	−0.490439	+	0.490439i	0.418005	+	0.908445i	$0.362729\pi$
$138$	−12.4991	+	12.4991i	−1.06400	+	1.06400i
$139$	−7.23486	−	12.5312i	−0.613653	−	1.06288i	−0.990619	−	0.136651i	$-0.956366\pi$
$139$	−7.23486	−	12.5312i	−0.613653	−	1.06288i	0.376966	−	0.926227i	$-0.376967\pi$
$140$	2.11448	−	7.36461i	0.178706	−	0.622423i
$141$	−20.8188	−	12.0198i	−1.75326	−	1.01225i
$142$		−	10.1122i		−	0.848598i
$143$	7.68812	−	13.3162i	0.642913	−	1.11356i
$144$	5.75405	+	3.32210i	0.479504	+	0.276842i
$145$	−5.24417	+	5.06079i	−0.435505	+	0.420276i
$146$	−2.60305	+	9.71473i	−0.215430	+	0.803997i
$147$	−10.4124	−	10.4124i	−0.858804	−	0.858804i
$148$	0.562859	−	6.05666i	0.0462667	−	0.497855i
$149$			13.2362i			1.08435i	0.840265	+	0.542177i	$0.182400\pi$
$149$			13.2362i			1.08435i	−0.840265	+	0.542177i	$0.817600\pi$
$150$	10.5820	+	11.3633i	0.864020	+	0.927813i
$151$	−1.74401	−	1.00690i	−0.141925	−	0.0819406i	0.427356	−	0.904083i	$-0.359445\pi$
$151$	−1.74401	−	1.00690i	−0.141925	−	0.0819406i	−0.569281	+	0.822143i	$0.692778\pi$
$152$	−4.61588	+	1.23682i	−0.374398	+	0.100320i
$153$	−16.4530	−	9.49914i	−1.33015	−	0.767960i
$154$	−9.78760	+	9.78760i	−0.788707	+	0.788707i
$155$	4.30206	+	4.45794i	0.345550	+	0.358071i
$156$	−8.35878	−	8.35878i	−0.669238	−	0.669238i
$157$	−12.0426	−	3.22681i	−0.961105	−	0.257527i	−0.256037	−	0.966667i	$-0.582417\pi$
$157$	−12.0426	−	3.22681i	−0.961105	−	0.257527i	−0.705068	+	0.709140i	$0.749083\pi$
$158$	−7.87205	−	7.87205i	−0.626266	−	0.626266i
$159$	21.9360			1.73964
$160$	−1.15231	+	1.91629i	−0.0910983	+	0.151496i
$161$	−18.8396	+	5.04805i	−1.48477	+	0.397842i
$162$			15.2129i			1.19524i
$163$	−2.10908	−	3.65304i	−0.165196	−	0.286128i	0.771529	−	0.636194i	$-0.219492\pi$
$163$	−2.10908	−	3.65304i	−0.165196	−	0.286128i	−0.936725	+	0.350066i	$0.886159\pi$
$164$	4.19231	−	2.42043i	0.327364	−	0.189004i
$165$	−6.77682	−	27.2198i	−0.527575	−	2.11906i
$166$	−0.739978	−	2.76164i	−0.0574334	−	0.214344i
$167$	−1.16263	+	2.01373i	−0.0899667	+	0.155827i	−0.907497	−	0.420059i	$-0.862009\pi$
$167$	−1.16263	+	2.01373i	−0.0899667	+	0.155827i	0.817530	+	0.575886i	$0.195343\pi$
$168$	5.32070	+	9.21572i	0.410501	+	0.711009i
$169$	0.744678	+	1.28982i	0.0572829	+	0.0992169i
$170$	3.29489	−	5.47940i	0.252707	−	0.420251i
$171$	−22.4512	−	22.4512i	−1.71689	−	1.71689i
$172$	7.01868	+	4.05223i	0.535169	+	0.308980i
$173$	4.85456	+	1.30078i	0.369086	+	0.0988962i	0.438594	−	0.898685i	$-0.355477\pi$
$173$	4.85456	+	1.30078i	0.369086	+	0.0988962i	−0.0695088	+	0.997581i	$0.522143\pi$
$174$		−	10.1216i		−	0.767315i
$175$	3.84275	+	16.6966i	0.290484	+	1.26214i
$176$	3.49829	−	2.01974i	0.263694	−	0.152244i
$177$		−	14.7866i		−	1.11143i
$178$	3.14045	+	11.7203i	0.235386	+	0.878474i
$179$	2.90544	+	2.90544i	0.217163	+	0.217163i	0.807302	−	0.590139i	$-0.200927\pi$
$179$	2.90544	+	2.90544i	0.217163	+	0.217163i	−0.590139	+	0.807302i	$0.700927\pi$
$180$	−14.8545	−	0.264341i	−1.10719	−	0.0197028i
$181$	12.2925	−	21.2912i	0.913694	−	1.58256i	0.104892	−	0.994484i	$-0.466550\pi$
$181$	12.2925	−	21.2912i	0.913694	−	1.58256i	0.808802	−	0.588081i	$-0.200116\pi$
$182$	−3.37587	−	12.5989i	−0.250237	−	0.933895i
$183$	−30.1338	+	17.3978i	−2.22755	+	1.28608i
$184$	5.69196			0.419617
$185$	5.46081	+	12.4571i	0.401486	+	0.915865i
$186$	−8.60412			−0.630884
$187$	−10.0029	+	5.77519i	−0.731487	+	0.422324i
$188$	2.00350	+	7.47715i	0.146120	+	0.545327i
$189$	−19.3897	+	33.5840i	−1.41040	+	2.44288i
$190$	7.68905	−	7.42018i	0.557823	−	0.538316i
$191$	4.24534	+	4.24534i	0.307182	+	0.307182i	0.843815	−	0.536634i	$-0.180304\pi$
$191$	4.24534	+	4.24534i	0.307182	+	0.307182i	−0.536634	+	0.843815i	$0.680304\pi$
$192$	−0.803766	−	2.99969i	−0.0580068	−	0.216484i
$193$		−	13.6135i		−	0.979921i	−0.871745	−	0.489960i	$-0.837011\pi$
$193$		−	13.6135i		−	0.979921i	0.871745	−	0.489960i	$-0.162989\pi$
$194$	−8.73566	+	5.04353i	−0.627184	+	0.362105i
$195$	25.4063	+	7.29450i	1.81939	+	0.522370i
$196$			4.74170i			0.338693i
$197$	−2.03538	−	0.545378i	−0.145015	−	0.0388566i	0.185581	−	0.982629i	$-0.440583\pi$
$197$	−2.03538	−	0.545378i	−0.145015	−	0.0388566i	−0.330596	+	0.943772i	$0.607250\pi$
$198$	23.2434	+	13.4196i	1.65183	+	0.953687i
$199$	8.66456	+	8.66456i	0.614214	+	0.614214i	0.944041	−	0.329827i	$-0.106990\pi$
$199$	8.66456	+	8.66456i	0.614214	+	0.614214i	−0.329827	+	0.944041i	$0.606990\pi$
$200$	0.177897	−	4.99683i	0.0125792	−	0.353330i
$201$	8.50329	+	14.7281i	0.599776	+	1.03884i
$202$	6.50498	+	11.2670i	0.457689	+	0.792741i
$203$	5.58407	−	9.67189i	0.391925	−	0.678834i
$204$	2.29827	+	8.57725i	0.160911	+	0.600528i
$205$	−5.57818	+	9.27650i	−0.389597	+	0.647899i
$206$	2.41890	−	1.39655i	0.168533	−	0.0973024i
$207$	18.9093	+	32.7518i	1.31429	+	2.27641i
$208$			3.80649i			0.263933i
$209$	−18.6458	+	4.99612i	−1.28976	+	0.345589i
$210$	−20.3920	−	12.2622i	−1.40718	−	0.846173i
$211$	4.42076			0.304338			0.152169	−	0.988355i	$-0.451374\pi$
$211$	4.42076			0.304338			0.152169	+	0.988355i	$0.451374\pi$
$212$	−4.99471	−	4.99471i	−0.343038	−	0.343038i
$213$	−30.3336	−	8.12785i	−2.07842	−	0.556911i
$214$	−8.26439	−	8.26439i	−0.564942	−	0.564942i
$215$	−18.1193	−	0.322438i	−1.23572	−	0.0219901i
$216$	8.00242	−	8.00242i	0.544496	−	0.544496i
$217$	−8.22184	−	4.74688i	−0.558135	−	0.322239i
$218$	0.0531273	−	0.0142354i	0.00359824	−	0.000964144i
$219$	27.0490	+	15.6167i	1.82780	+	1.05528i
$220$	−4.65474	+	7.74082i	−0.313823	+	0.521886i
$221$		−	10.8842i		−	0.732149i
$222$	−17.7157	−	6.55654i	−1.18900	−	0.440046i
$223$	−19.5061	−	19.5061i	−1.30623	−	1.30623i	−0.924118	−	0.382108i	$-0.875198\pi$
$223$	−19.5061	−	19.5061i	−1.30623	−	1.30623i	−0.382108	−	0.924118i	$-0.624802\pi$
$224$	0.886874	−	3.30986i	0.0592567	−	0.221149i
$225$	29.3430	−	15.5764i	1.95620	−	1.03842i
$226$	−17.3656	−	10.0261i	−1.15515	−	0.666923i
$227$	2.41904	−	4.18990i	0.160557	−	0.278093i	−0.774511	−	0.632560i	$-0.782004\pi$
$227$	2.41904	−	4.18990i	0.160557	−	0.278093i	0.935069	+	0.354467i	$0.115338\pi$
$228$			14.8404i			0.982827i
$229$	0.448138	+	0.258733i	0.0296138	+	0.0170975i	0.514734	−	0.857350i	$-0.327891\pi$
$229$	0.448138	+	0.258733i	0.0296138	+	0.0170975i	−0.485120	+	0.874448i	$0.661224\pi$
$230$	−11.1339	+	6.16668i	−0.734149	+	0.406619i
$231$	21.4929	+	37.2267i	1.41413	+	2.44934i
$232$	−2.30462	+	2.30462i	−0.151306	+	0.151306i
$233$	16.7606	−	16.7606i	1.09803	−	1.09803i	0.103384	−	0.994642i	$-0.467033\pi$
$233$	16.7606	−	16.7606i	1.09803	−	1.09803i	0.994642	−	0.103384i	$-0.0329671\pi$
$234$	−21.9027	+	12.6455i	−1.43183	+	0.826665i
$235$	−12.0198	−	12.4553i	−0.784082	−	0.812494i
$236$	−3.36683	+	3.36683i	−0.219162	+	0.219162i
$237$	−29.9410	+	17.2865i	−1.94488	+	1.12288i
$238$	−2.53590	+	9.46413i	−0.164378	+	0.613468i
$239$	6.31818	+	1.69295i	0.408689	+	0.109508i	0.457305	−	0.889310i	$-0.348815\pi$
$239$	6.31818	+	1.69295i	0.408689	+	0.109508i	−0.0486167	+	0.998818i	$0.515481\pi$
$240$	4.82210	+	4.99683i	0.311265	+	0.322544i
$241$	−15.0194	+	4.02443i	−0.967483	+	0.259236i	−0.707765	−	0.706448i	$-0.750296\pi$
$241$	−15.0194	+	4.02443i	−0.967483	+	0.259236i	−0.259718	+	0.965684i	$0.583630\pi$
$242$	4.60500	−	2.65870i	0.296021	−	0.170908i
$243$	12.8394	+	3.44031i	0.823649	+	0.220696i
$244$	10.8227	+	2.89992i	0.692850	+	0.185648i
$245$	−5.13717	−	9.27514i	−0.328202	−	0.592567i
$246$	−3.89092	−	14.5211i	−0.248076	−	0.925831i
$247$	4.70795	−	17.5703i	0.299560	−	1.11797i
$248$	1.95911	+	1.95911i	0.124403	+	0.124403i
$249$	−8.87883			−0.562673
$250$	5.06560	+	9.96693i	0.320377	+	0.630364i
$251$	9.26880	−	9.26880i	0.585042	−	0.585042i	−0.351243	−	0.936284i	$-0.614241\pi$
$251$	9.26880	−	9.26880i	0.585042	−	0.585042i	0.936284	+	0.351243i	$0.114241\pi$
$252$	21.9914	−	5.89257i	1.38533	−	0.371197i
$253$	22.9926			1.44553
$254$	18.3221	−	4.90938i	1.14963	−	0.308042i
$255$	−13.7882	−	14.2878i	−0.863451	−	0.894738i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	0.247029	+	0.427867i	0.0154093	+	0.0266896i	0.873627	−	0.486596i	$-0.161762\pi$
$257$	0.247029	+	0.427867i	0.0154093	+	0.0266896i	−0.858218	+	0.513285i	$0.828428\pi$
$258$	17.7968	−	17.7968i	1.10798	−	1.10798i
$259$	−13.3114	−	16.0390i	−0.827130	−	0.996615i
$260$	−4.12396	−	7.44579i	−0.255757	−	0.461768i
$261$	−20.9171	−	5.60473i	−1.29474	−	0.346924i
$262$	−16.8956	+	4.52715i	−1.04381	+	0.279688i
$263$	0.426201	+	1.59060i	0.0262807	+	0.0980808i	0.977820	−	0.209445i	$-0.0671657\pi$
$263$	0.426201	+	1.59060i	0.0262807	+	0.0980808i	−0.951540	+	0.307526i	$0.900499\pi$
$264$	−3.24680	−	12.1172i	−0.199826	−	0.745762i
$265$	15.1813	+	4.35876i	0.932580	+	0.267756i
$266$	−8.18741	+	14.1810i	−0.502003	+	0.869494i
$267$	37.6815			2.30607
$268$	1.41736	−	5.28966i	0.0865790	−	0.323117i
$269$		−	24.5663i		−	1.49783i	−0.662665	−	0.748916i	$-0.730575\pi$
$269$		−	24.5663i		−	1.49783i	0.662665	−	0.748916i	$-0.269425\pi$
$270$	−6.98352	+	24.3232i	−0.425003	+	1.48026i
$271$	4.49249	+	7.78123i	0.272900	+	0.472676i	0.969603	−	0.244683i	$-0.0786840\pi$
$271$	4.49249	+	7.78123i	0.272900	+	0.472676i	−0.696703	+	0.717359i	$0.745351\pi$
$272$	1.42969	−	2.47629i	0.0866875	−	0.150147i
$273$	−40.5064			−2.45156
$274$	2.10115	−	7.84159i	0.126935	−	0.473728i
$275$	0.718611	−	20.1846i	0.0433339	−	1.21718i
$276$	4.57500	−	17.0741i	0.275383	−	1.02774i
$277$	18.9961	+	10.9674i	1.14137	+	0.658968i	0.946768	−	0.321916i	$-0.104327\pi$
$277$	18.9961	+	10.9674i	1.14137	+	0.658968i	0.194597	+	0.980883i	$0.437660\pi$
$278$	12.5312	+	7.23486i	0.751569	+	0.433918i
$279$	−4.76445	+	17.7812i	−0.285240	+	1.06453i
$280$	1.85111	+	7.43518i	0.110625	+	0.444337i
$281$	5.77229	−	21.5425i	0.344346	−	1.28512i	−0.549028	−	0.835804i	$-0.685002\pi$
$281$	5.77229	−	21.5425i	0.344346	−	1.28512i	0.893374	−	0.449313i	$-0.148331\pi$
$282$	24.0395			1.43153
$283$	8.68754	−	15.0473i	0.516421	−	0.894467i	−0.483397	−	0.875401i	$-0.660597\pi$
$283$	8.68754	−	15.0473i	0.516421	−	0.894467i	0.999818	−	0.0190660i	$-0.00606926\pi$
$284$	5.05611	+	8.75743i	0.300025	+	0.519658i
$285$	−16.0781	−	29.0289i	−0.952383	−	1.71952i
$286$			15.3762i			0.909216i
$287$	4.29323	−	16.0226i	0.253421	−	0.945782i
$288$	−6.64421			−0.391514
$289$	4.41199	−	7.64179i	0.259529	−	0.449517i
$290$	2.01119	−	7.00486i	0.118101	−	0.411339i
$291$	8.10764	+	30.2581i	0.475278	+	1.77376i
$292$	−2.60305	−	9.71473i	−0.152332	−	0.568511i
$293$	8.02368	−	2.14994i	0.468748	−	0.125601i	−0.0167102	−	0.999860i	$-0.505319\pi$
$293$	8.02368	−	2.14994i	0.468748	−	0.125601i	0.485459	+	0.874260i	$0.338653\pi$
$294$	14.2237	+	3.81122i	0.829541	+	0.222275i
$295$	2.93815	−	10.2334i	0.171066	−	0.595812i
$296$	2.54088	+	5.52666i	0.147686	+	0.321230i
$297$	32.3256	−	32.3256i	1.87572	−	1.87572i
$298$	−6.61811	−	11.4629i	−0.383377	−	0.664028i
$299$	−10.8332	+	18.7636i	−0.626500	+	1.08513i
$300$	−14.8460	−	4.54992i	−0.857134	−	0.262690i
$301$	26.8246	−	7.18764i	1.54615	−	0.414289i
$302$	2.01381			0.115882
$303$	39.0259	−	10.4570i	2.24198	−	0.600737i
$304$	3.37906	−	3.37906i	0.193802	−	0.193802i
$305$	−24.3117	+	6.05281i	−1.39209	+	0.346583i
$306$	18.9983			1.08606
$307$	−12.2811	−	12.2811i	−0.700917	−	0.700917i	0.263690	−	0.964607i	$-0.415060\pi$
$307$	−12.2811	−	12.2811i	−0.700917	−	0.700917i	−0.964607	+	0.263690i	$0.915060\pi$
$308$	3.58251	−	13.3701i	0.204132	−	0.761832i
$309$	−2.24500	−	8.37846i	−0.127714	−	0.476634i
$310$	−5.95466	−	1.70966i	−0.338202	−	0.0971024i
$311$	22.1528	+	5.93582i	1.25617	+	0.336589i	0.824717	−	0.565546i	$-0.191335\pi$
$311$	22.1528	+	5.93582i	1.25617	+	0.336589i	0.431452	+	0.902136i	$0.358001\pi$
$312$	11.4183	+	3.05953i	0.646434	+	0.173212i
$313$	20.4884	−	11.8290i	1.15807	−	0.668614i	0.207232	−	0.978292i	$-0.433554\pi$
$313$	20.4884	−	11.8290i	1.15807	−	0.668614i	0.950842	+	0.309677i	$0.100221\pi$
$314$	12.0426	−	3.22681i	0.679604	−	0.182099i
$315$	−36.6328	+	35.3518i	−2.06403	+	1.99185i
$316$	10.7534	+	2.88137i	0.604927	+	0.162090i
$317$	−5.18259	+	19.3417i	−0.291083	+	1.08634i	0.653195	+	0.757190i	$0.273428\pi$
$317$	−5.18259	+	19.3417i	−0.291083	+	1.08634i	−0.944278	+	0.329148i	$0.893239\pi$
$318$	−18.9972	+	10.9680i	−1.06531	+	0.615056i
$319$	−9.30948	+	9.30948i	−0.521231	+	0.521231i
$320$	0.0397852	−	2.23571i	0.00222406	−	0.124980i
$321$	−31.4333	+	18.1480i	−1.75444	+	1.01292i
$322$	13.7915	−	13.7915i	0.768572	−	0.768572i
$323$	−9.66201	+	9.66201i	−0.537608	+	0.537608i
$324$	−7.60643	−	13.1747i	−0.422579	−	0.731929i
$325$	16.1336	+	10.0966i	0.894929	+	0.560061i
$326$	3.65304	+	2.10908i	0.202323	+	0.116811i
$327$		−	0.170808i		−	0.00944569i
$328$	−2.42043	+	4.19231i	−0.133646	+	0.231481i
$329$	22.9715	+	13.2626i	1.26646	+	0.731189i
$330$	19.4788	+	20.1846i	1.07227	+	1.11113i
$331$	6.47182	−	24.1532i	0.355723	−	1.32758i	−0.523849	−	0.851811i	$-0.675504\pi$
$331$	6.47182	−	24.1532i	0.355723	−	1.32758i	0.879572	−	0.475766i	$-0.157829\pi$
$332$	2.02166	+	2.02166i	0.110953	+	0.110953i
$333$	−23.3596	+	32.9805i	−1.28010	+	1.80732i
$334$		−	2.32525i		−	0.127232i
$335$	2.95836	+	11.8826i	0.161633	+	0.649213i
$336$	−9.21572	−	5.32070i	−0.502759	−	0.290268i
$337$	3.59809	−	0.964106i	0.196001	−	0.0525182i	−0.159483	−	0.987201i	$-0.550983\pi$
$337$	3.59809	−	0.964106i	0.196001	−	0.0525182i	0.355484	+	0.934682i	$0.384316\pi$
$338$	−1.28982	−	0.744678i	−0.0701570	−	0.0405051i
$339$	−44.0330	+	44.0330i	−2.39154	+	2.39154i
$340$	−0.113761	+	6.39274i	−0.00616955	+	0.346695i
$341$	7.91377	+	7.91377i	0.428555	+	0.428555i
$342$	30.6689	+	8.21770i	1.65838	+	0.444363i
$343$	−5.47181	−	5.47181i	−0.295450	−	0.295450i
$344$	−8.10447			−0.436964
$345$	9.54910	+	38.3549i	0.514106	+	2.06496i
$346$	−4.85456	+	1.30078i	−0.260983	+	0.0699301i
$347$			11.3933i			0.611624i	0.952092	+	0.305812i	$0.0989280\pi$
$347$			11.3933i			0.611624i	−0.952092	+	0.305812i	$0.901072\pi$
$348$	5.06079	+	8.76555i	0.271287	+	0.469883i
$349$	−16.8428	+	9.72420i	−0.901574	+	0.520524i	−0.877711	−	0.479191i	$-0.840930\pi$
$349$	−16.8428	+	9.72420i	−0.901574	+	0.520524i	−0.0238638	+	0.999715i	$0.507597\pi$
$350$	−11.6762	−	12.5383i	−0.624120	−	0.670200i
$351$	11.1495	+	41.6107i	0.595118	+	2.22101i
$352$	−2.01974	+	3.49829i	−0.107652	+	0.186460i
$353$	−9.70560	−	16.8106i	−0.516577	−	0.894738i	−0.999815	−	0.0192485i	$-0.993873\pi$
$353$	−9.70560	−	16.8106i	−0.516577	−	0.894738i	0.483238	−	0.875489i	$-0.339461\pi$
$354$	7.39332	+	12.8056i	0.392950	+	0.680610i
$355$	−19.3780	−	11.6524i	−1.02848	−	0.618447i
$356$	−8.57986	−	8.57986i	−0.454732	−	0.454732i
$357$	26.3512	+	15.2139i	1.39465	+	0.805204i
$358$	−3.96891	−	1.06346i	−0.209763	−	0.0562059i
$359$		−	20.5092i		−	1.08243i	−0.840884	−	0.541216i	$-0.817964\pi$
$359$		−	20.5092i		−	1.08243i	0.840884	−	0.541216i	$-0.182036\pi$
$360$	12.9966	−	7.19835i	0.684980	−	0.379386i
$361$	−3.32218	+	1.91806i	−0.174851	+	0.100951i
$362$			24.5850i			1.29216i
$363$	−4.27394	−	15.9506i	−0.224324	−	0.837188i
$364$	9.22306	+	9.22306i	0.483420	+	0.483420i
$365$	15.6167	+	16.1826i	0.817417	+	0.847037i
$366$	17.3978	−	30.1338i	0.909395	−	1.57512i
$367$	4.08056	+	15.2289i	0.213003	+	0.794940i	0.986860	+	0.161579i	$0.0516585\pi$
$367$	4.08056	+	15.2289i	0.213003	+	0.794940i	−0.773856	+	0.633361i	$0.781675\pi$
$368$	−4.92938	+	2.84598i	−0.256962	+	0.148357i
$369$	−32.1637			−1.67437
$370$	−10.9578	−	8.05777i	−0.569666	−	0.418904i
$371$	−24.2042			−1.25662
$372$	7.45138	−	4.30206i	0.386336	−	0.223051i
$373$	1.13591	+	4.23927i	0.0588151	+	0.219501i	0.989078	−	0.147392i	$-0.0470880\pi$
$373$	1.13591	+	4.23927i	0.0588151	+	0.219501i	−0.930263	+	0.366893i	$0.880421\pi$
$374$	5.77519	−	10.0029i	0.298628	−	0.517239i
$375$	33.9693	−	7.18418i	1.75417	−	0.370989i
$376$	−5.47365	−	5.47365i	−0.282282	−	0.282282i
$377$	−3.21097	−	11.9835i	−0.165373	−	0.617181i
$378$		−	38.7795i		−	1.99460i
$379$	10.9340	−	6.31273i	0.561640	−	0.324263i	−0.192163	−	0.981363i	$-0.561550\pi$
$379$	10.9340	−	6.31273i	0.561640	−	0.324263i	0.753804	+	0.657100i	$0.228217\pi$
$380$	−2.94883	+	10.2706i	−0.151272	+	0.526870i
$381$		−	58.9066i		−	3.01788i
$382$	−5.79924	−	1.55390i	−0.296715	−	0.0795045i
$383$	−6.81396	−	3.93404i	−0.348177	−	0.201020i	0.315705	−	0.948857i	$-0.397759\pi$
$383$	−6.81396	−	3.93404i	−0.348177	−	0.201020i	−0.663882	+	0.747837i	$0.731092\pi$
$384$	2.19593	+	2.19593i	0.112061	+	0.112061i
$385$	7.47753	+	30.0343i	0.381090	+	1.53069i
$386$	6.80675	+	11.7896i	0.346454	+	0.600077i
$387$	−26.9239	−	46.6335i	−1.36862	−	2.37052i
$388$	5.04353	−	8.73566i	0.256047	−	0.443486i
$389$	4.63315	+	17.2911i	0.234910	+	0.876695i	0.978189	+	0.207715i	$0.0666025\pi$
$389$	4.63315	+	17.2911i	0.234910	+	0.876695i	−0.743280	+	0.668981i	$0.766731\pi$
$390$	−25.6498	+	6.38594i	−1.29883	+	0.323365i
$391$	14.0950	−	8.13772i	0.712812	−	0.411542i
$392$	−2.37085	−	4.10644i	−0.119746	−	0.207406i
$393$			54.3203i			2.74009i
$394$	2.03538	−	0.545378i	0.102541	−	0.0274757i
$395$	−24.1562	+	6.01409i	−1.21543	+	0.302602i
$396$	−26.8391			−1.34872
$397$	−12.1540	−	12.1540i	−0.609993	−	0.609993i	0.332951	−	0.942944i	$-0.391956\pi$
$397$	−12.1540	−	12.1540i	−0.609993	−	0.609993i	−0.942944	+	0.332951i	$0.891956\pi$
$398$	−11.8360	−	3.17145i	−0.593286	−	0.158970i
$399$	35.9580	+	35.9580i	1.80015	+	1.80015i
$400$	2.34435	+	4.41633i	0.117218	+	0.220817i
$401$	−6.06065	+	6.06065i	−0.302655	+	0.302655i	−0.842052	−	0.539397i	$-0.818652\pi$
$401$	−6.06065	+	6.06065i	−0.302655	+	0.302655i	0.539397	+	0.842052i	$0.318652\pi$
$402$	−14.7281	−	8.50329i	−0.734573	−	0.424106i
$403$	−10.1869	+	2.72957i	−0.507445	+	0.135969i
$404$	−11.2670	−	6.50498i	−0.560552	−	0.323635i
$405$	29.1523	+	17.5300i	1.44859	+	0.871071i
$406$			11.1681i			0.554265i
$407$	10.2638	+	22.3248i	0.508760	+	1.10660i
$408$	−6.27898	−	6.27898i	−0.310856	−	0.310856i
$409$	−3.48612	+	13.0104i	−0.172378	+	0.643322i	0.824606	+	0.565708i	$0.191397\pi$
$409$	−3.48612	+	13.0104i	−0.172378	+	0.643322i	−0.996983	+	0.0776146i	$0.975270\pi$
$410$	0.192595	−	10.8228i	0.00951158	−	0.534499i
$411$	−21.8336	−	12.6056i	−1.07697	−	0.621789i
$412$	−1.39655	+	2.41890i	−0.0688032	+	0.119171i
$413$			16.3155i			0.802835i
$414$	−32.7518	−	18.9093i	−1.60966	−	0.929340i
$415$	−6.14479	−	1.76425i	−0.301636	−	0.0866037i
$416$	−1.90324	−	3.29652i	−0.0933142	−	0.161625i
$417$	31.7745	−	31.7745i	1.55600	−	1.55600i
$418$	13.6497	−	13.6497i	0.667626	−	0.667626i
$419$	−2.90102	+	1.67490i	−0.141724	+	0.0818243i	−0.569185	−	0.822209i	$-0.692741\pi$
$419$	−2.90102	+	1.67490i	−0.141724	+	0.0818243i	0.427461	+	0.904034i	$0.359408\pi$
$420$	23.7911	+	0.423371i	1.16089	+	0.0206584i
$421$	−10.5185	+	10.5185i	−0.512640	+	0.512640i	−0.915334	−	0.402695i	$-0.868074\pi$
$421$	−10.5185	+	10.5185i	−0.512640	+	0.512640i	0.402695	+	0.915334i	$0.368074\pi$
$422$	−3.82849	+	2.21038i	−0.186368	+	0.107600i
$423$	13.3116	−	49.6797i	0.647234	−	2.41551i
$424$	6.82289	+	1.82819i	0.331349	+	0.0887847i
$425$	−6.70339	−	12.6280i	−0.325162	−	0.612546i
$426$	30.3336	−	8.12785i	1.46967	−	0.393796i
$427$	33.2496	−	19.1967i	1.60906	−	0.928991i
$428$	11.2894	+	3.02498i	0.545692	+	0.146218i
$429$	46.1240	+	12.3589i	2.22689	+	0.596693i
$430$	15.8530	−	8.78040i	0.764498	−	0.423428i
$431$	0.486767	+	1.81664i	0.0234467	+	0.0875044i	0.976658	−	0.214801i	$-0.0689104\pi$
$431$	0.486767	+	1.81664i	0.0234467	+	0.0875044i	−0.953211	+	0.302306i	$0.902244\pi$
$432$	−2.92909	+	10.9315i	−0.140926	+	0.525942i
$433$	6.87841	+	6.87841i	0.330555	+	0.330555i	0.852797	−	0.522242i	$-0.174904\pi$
$433$	6.87841	+	6.87841i	0.330555	+	0.330555i	−0.522242	+	0.852797i	$0.674904\pi$
$434$	9.49377			0.455715
$435$	−19.3959	−	11.6632i	−0.929963	−	0.559209i
$436$	−0.0388919	+	0.0388919i	−0.00186258	+	0.00186258i
$437$	26.2734	−	7.03994i	1.25683	−	0.336766i
$438$	−31.2335			−1.49239
$439$	7.77356	−	2.08292i	0.371012	−	0.0994123i	−0.0684953	−	0.997651i	$-0.521820\pi$
$439$	7.77356	−	2.08292i	0.371012	−	0.0994123i	0.439507	+	0.898239i	$0.355153\pi$
$440$	0.160712	−	9.03112i	0.00766163	−	0.430542i
$441$	15.7524	−	27.2840i	0.750116	−	1.29924i
$442$	5.44209	+	9.42598i	0.258854	+	0.448348i
$443$	−29.2964	+	29.2964i	−1.39192	+	1.39192i	−0.570888	+	0.821028i	$0.693401\pi$
$443$	−29.2964	+	29.2964i	−1.39192	+	1.39192i	−0.821028	+	0.570888i	$0.806599\pi$
$444$	18.6206	−	3.17973i	0.883692	−	0.150904i
$445$	26.0783	+	7.48744i	1.23623	+	0.354938i
$446$	26.6458	+	7.13973i	1.26172	+	0.338076i
$447$	−39.7046	+	10.6388i	−1.87796	+	0.503199i
$448$	0.886874	+	3.30986i	0.0419008	+	0.156376i
$449$	−5.33860	−	19.9239i	−0.251944	−	0.940268i	−0.969765	−	0.244040i	$-0.921527\pi$
$449$	−5.33860	−	19.9239i	−0.251944	−	0.940268i	0.717821	−	0.696228i	$-0.245140\pi$
$450$	−17.6236	+	28.1610i	−0.830786	+	1.32752i
$451$	−9.77728	+	16.9347i	−0.460394	+	0.797426i
$452$	20.0521			0.943172
$453$	1.61863	−	6.04080i	0.0760498	−	0.283822i
$454$			4.83808i			0.227062i
$455$	−28.0333	−	8.04874i	−1.31422	−	0.377331i
$456$	−7.42018	−	12.8521i	−0.347482	−	0.601856i
$457$	−14.6546	+	25.3825i	−0.685512	+	1.18734i	0.287764	+	0.957701i	$0.407088\pi$
$457$	−14.6546	+	25.3825i	−0.685512	+	1.18734i	−0.973276	+	0.229640i	$0.926245\pi$
$458$	−0.517465			−0.0241796
$459$	8.37536	−	31.2573i	0.390928	−	1.45896i
$460$	6.55891	−	10.9075i	0.305811	−	0.508563i
$461$	−5.21268	+	19.4540i	−0.242779	+	0.906062i	0.731708	+	0.681618i	$0.238723\pi$
$461$	−5.21268	+	19.4540i	−0.242779	+	0.906062i	−0.974487	+	0.224444i	$0.927943\pi$
$462$	−37.2267	−	21.4929i	−1.73194	−	0.999938i
$463$	−20.3891	−	11.7717i	−0.947562	−	0.547075i	−0.0552391	−	0.998473i	$-0.517592\pi$
$463$	−20.3891	−	11.7717i	−0.947562	−	0.547075i	−0.892323	+	0.451398i	$0.850925\pi$
$464$	0.843551	−	3.14818i	0.0391609	−	0.146150i
$465$	−9.91463	+	16.4880i	−0.459780	+	0.764613i
$466$	−6.13482	+	22.8955i	−0.284190	+	1.06061i
$467$	−7.63393			−0.353256			−0.176628	−	0.984278i	$-0.556519\pi$
$467$	−7.63393			−0.353256			−0.176628	+	0.984278i	$0.556519\pi$
$468$	12.6455	−	21.9027i	0.584541	−	1.01245i
$469$	−9.38252	−	16.2510i	−0.433244	−	0.750401i
$470$	16.6371	+	4.77672i	0.767410	+	0.220334i
$471$		−	38.7177i		−	1.78402i
$472$	1.23234	−	4.59917i	0.0567233	−	0.211694i
$473$	−32.7378			−1.50529
$474$	17.2865	−	29.9410i	0.793993	−	1.37524i
$475$	−5.35905	−	23.2848i	−0.245890	−	1.06838i
$476$	−2.53590	−	9.46413i	−0.116233	−	0.433787i
$477$	12.1469	+	45.3327i	0.556167	+	2.07564i
$478$	−6.31818	+	1.69295i	−0.288987	+	0.0774337i
$479$	−29.9224	−	8.01768i	−1.36719	−	0.366337i	−0.500738	−	0.865599i	$-0.666938\pi$
$479$	−29.9224	−	8.01768i	−1.36719	−	0.366337i	−0.866451	+	0.499262i	$0.833605\pi$
$480$	−6.67448	−	1.91633i	−0.304647	−	0.0874683i
$481$	−23.0546	−	2.14252i	−1.05120	−	0.0976904i
$482$	10.9950	−	10.9950i	0.500806	−	0.500806i
$483$	−30.2852	−	52.4555i	−1.37803	−	2.38681i
$484$	−2.65870	+	4.60500i	−0.120850	+	0.209318i
$485$	−0.401317	+	22.5518i	−0.0182228	+	1.02402i
$486$	−12.8394	+	3.44031i	−0.582408	+	0.156056i
$487$	−9.36250			−0.424255			−0.212128	−	0.977242i	$-0.568039\pi$
$487$	−9.36250			−0.424255			−0.212128	+	0.977242i	$0.568039\pi$
$488$	−10.8227	+	2.89992i	−0.489919	+	0.131273i
$489$	9.26279	−	9.26279i	0.418878	−	0.418878i
$490$	9.08649	+	5.46392i	0.410486	+	0.246835i
$491$	−14.8428			−0.669845			−0.334922	−	0.942246i	$-0.608710\pi$
$491$	−14.8428			−0.669845			−0.334922	+	0.942246i	$0.608710\pi$
$492$	10.6302	+	10.6302i	0.479246	+	0.479246i
$493$	−2.41203	+	9.00181i	−0.108632	+	0.405421i
$494$	4.70795	+	17.5703i	0.211821	+	0.790526i
$495$	52.4994	−	29.0776i	2.35967	−	1.30694i
$496$	−2.67619	−	0.717083i	−0.120164	−	0.0321980i
$497$	33.4700	+	8.96826i	1.50133	+	0.402281i
$498$	7.68929	−	4.43942i	0.344565	−	0.198935i
$499$	−1.46926	+	0.393687i	−0.0657730	+	0.0176238i	−0.291556	−	0.956554i	$-0.594173\pi$
$499$	−1.46926	+	0.393687i	−0.0657730	+	0.0176238i	0.225782	+	0.974178i	$0.427506\pi$
$500$	−9.37040	−	6.09881i	−0.419057	−	0.272747i
$501$	−6.97504	−	1.86896i	−0.311622	−	0.0834989i
$502$	−3.39262	+	12.6614i	−0.151420	+	0.565107i
$503$	18.8716	−	10.8955i	0.841444	−	0.485808i	−0.0163106	−	0.999867i	$-0.505192\pi$
$503$	18.8716	−	10.8955i	0.841444	−	0.485808i	0.857755	+	0.514059i	$0.171859\pi$
$504$	−16.0988	+	16.0988i	−0.717098	+	0.717098i
$505$	29.0866	+	0.517605i	1.29434	+	0.0230331i
$506$	−19.9121	+	11.4963i	−0.885203	+	0.511072i
$507$	−3.27052	+	3.27052i	−0.145249	+	0.145249i
$508$	−13.4127	+	13.4127i	−0.595091	+	0.595091i
$509$	−10.0086	−	17.3355i	−0.443625	−	0.768382i	0.554330	−	0.832297i	$-0.312975\pi$
$509$	−10.0086	−	17.3355i	−0.443625	−	0.768382i	−0.997955	+	0.0639153i	$0.979641\pi$
$510$	19.0848	+	5.47952i	0.845091	+	0.242637i
$511$	−29.8458	−	17.2315i	−1.32030	−	0.762276i
$512$		−	1.00000i		−	0.0441942i
$513$	27.0407	−	46.8358i	1.19387	−	2.06785i
$514$	−0.427867	−	0.247029i	−0.0188724	−	0.0108960i
$515$	0.111124	−	6.24458i	0.00489672	−	0.275169i
$516$	−6.51409	+	24.3109i	−0.286767	+	1.07023i
$517$	−22.1107	−	22.1107i	−0.972428	−	0.972428i
$518$	19.5475	+	7.23448i	0.858869	+	0.317865i
$519$			15.6077i			0.685103i
$520$	7.29435	+	4.38626i	0.319878	+	0.192350i
$521$	4.96089	+	2.86417i	0.217340	+	0.125482i	0.604718	−	0.796440i	$-0.293286\pi$
$521$	4.96089	+	2.86417i	0.217340	+	0.125482i	−0.387378	+	0.921921i	$0.626619\pi$
$522$	20.9171	−	5.60473i	0.915518	−	0.245312i
$523$	28.9672	+	16.7242i	1.26665	+	0.731299i	0.974352	−	0.225029i	$-0.0722476\pi$
$523$	28.9672	+	16.7242i	1.26665	+	0.731299i	0.292296	+	0.956328i	$0.405581\pi$
$524$	12.3684	−	12.3684i	0.540316	−	0.540316i
$525$	−46.9960	+	24.9472i	−2.05107	+	1.08879i
$526$	−1.16440	−	1.16440i	−0.0507703	−	0.0507703i
$527$	7.65223	+	2.05041i	0.333336	+	0.0893172i
$528$	8.87041	+	8.87041i	0.386035	+	0.386035i
$529$	−9.39841			−0.408626
$530$	−15.3268	+	3.81586i	−0.665753	+	0.165750i
$531$	30.5579	−	8.18795i	1.32610	−	0.355327i
$532$		−	16.3748i		−	0.709939i
$533$	−9.21334	−	15.9580i	−0.399074	−	0.691216i
$534$	−32.6332	+	18.8408i	−1.41217	+	0.815319i
$535$	−25.3602	+	6.31383i	−1.09641	+	0.272971i
$536$	1.41736	+	5.28966i	0.0612206	+	0.228478i
$537$	−6.38014	+	11.0507i	−0.275323	+	0.476874i
$538$	12.2831	+	21.2750i	0.529563	+	0.917231i
$539$	−9.57701	−	16.5879i	−0.412511	−	0.714490i
$540$	−6.11369	−	24.5563i	−0.263091	−	1.05673i
$541$	19.0331	+	19.0331i	0.818298	+	0.818298i	0.985861	−	0.167563i	$-0.0535898\pi$
$541$	19.0331	+	19.0331i	0.818298	+	0.818298i	−0.167563	+	0.985861i	$0.553590\pi$
$542$	−7.78123	−	4.49249i	−0.334232	−	0.192969i
$543$	73.7475	+	19.7606i	3.16481	+	0.848007i
$544$			2.85938i			0.122595i
$545$	0.0339400	−	0.118211i	0.00145383	−	0.00506361i
$546$	35.0795	−	20.2532i	1.50127	−	0.866756i
$547$			14.7785i			0.631885i	0.948778	+	0.315942i	$0.102321\pi$
$547$			14.7785i			0.631885i	−0.948778	+	0.315942i	$0.897679\pi$
$548$	2.10115	+	7.84159i	0.0897566	+	0.334976i
$549$	−52.6403	−	52.6403i	−2.24663	−	2.24663i
$550$	9.46997	+	17.8397i	0.403801	+	0.760687i
$551$	−7.78747	+	13.4883i	−0.331757	+	0.574620i
$552$	4.57500	+	17.0741i	0.194725	+	0.726724i
$553$	33.0369	−	19.0738i	1.40487	−	0.811102i
$554$	−21.9348			−0.931921
$555$	−32.9783	+	26.3933i	−1.39985	+	1.12034i
$556$	−14.4697			−0.613653
$557$	0.893063	−	0.515610i	0.0378403	−	0.0218471i	−0.480961	−	0.876742i	$-0.659712\pi$
$557$	0.893063	−	0.515610i	0.0378403	−	0.0218471i	0.518801	+	0.854895i	$0.326379\pi$
$558$	−4.76445	−	17.7812i	−0.201695	−	0.752736i
$559$	15.4248	−	26.7165i	0.652399	−	1.12999i
$560$	−5.32070	−	5.51350i	−0.224841	−	0.232988i
$561$	−25.3638	−	25.3638i	−1.07086	−	1.07086i
$562$	5.77229	+	21.5425i	0.243489	+	0.908715i
$563$			35.0874i			1.47876i	0.673290	+	0.739379i	$0.264881\pi$
$563$			35.0874i			1.47876i	−0.673290	+	0.739379i	$0.735119\pi$
$564$	−20.8188	+	12.0198i	−0.876631	+	0.506123i
$565$	−39.2235	+	21.7245i	−1.65014	+	0.913956i
$566$			17.3751i			0.730329i
$567$	−50.3524	−	13.4919i	−2.11460	−	0.566606i
$568$	−8.75743	−	5.05611i	−0.367454	−	0.212150i
$569$	4.61383	+	4.61383i	0.193422	+	0.193422i	0.797173	−	0.603751i	$-0.206328\pi$
$569$	4.61383	+	4.61383i	0.193422	+	0.193422i	−0.603751	+	0.797173i	$0.706328\pi$
$570$	28.4385	+	17.1007i	1.19116	+	0.716271i
$571$	−0.165880	−	0.287312i	−0.00694184	−	0.0120236i	0.862534	−	0.506000i	$-0.168876\pi$
$571$	−0.165880	−	0.287312i	−0.00694184	−	0.0120236i	−0.869475	+	0.493976i	$0.835543\pi$
$572$	−7.68812	−	13.3162i	−0.321456	−	0.556779i
$573$	−9.32246	+	16.1470i	−0.389451	+	0.674549i
$574$	4.29323	+	16.0226i	0.179196	+	0.668769i
$575$	−1.01258	+	28.4418i	−0.0422276	+	1.18610i
$576$	5.75405	−	3.32210i	0.239752	−	0.138421i
$577$	−5.73386	−	9.93134i	−0.238704	−	0.413447i	0.721639	−	0.692270i	$-0.243389\pi$
$577$	−5.73386	−	9.93134i	−0.238704	−	0.413447i	−0.960343	+	0.278823i	$0.910056\pi$
$578$			8.82397i			0.367029i
$579$	40.8363	−	10.9421i	1.69710	−	0.454737i
$580$	1.76069	+	7.07198i	0.0731086	+	0.293648i
$581$	9.79689			0.406443
$582$	−22.1505	−	22.1505i	−0.918167	−	0.918167i
$583$	27.5609	+	7.38493i	1.14146	+	0.305853i
$584$	7.11167	+	7.11167i	0.294283	+	0.294283i
$585$	−1.00621	+	56.5437i	−0.0416018	+	2.33779i
$586$	−5.87374	+	5.87374i	−0.242642	+	0.242642i
$587$	−4.29987	−	2.48253i	−0.177475	−	0.102465i	0.408631	−	0.912700i	$-0.366006\pi$
$587$	−4.29987	−	2.48253i	−0.177475	−	0.102465i	−0.586106	+	0.810235i	$0.699340\pi$
$588$	−14.2237	+	3.81122i	−0.586574	+	0.157172i
$589$	11.4661	+	6.61994i	0.472451	+	0.272770i
$590$	2.57219	+	10.3315i	0.105895	+	0.425340i
$591$		−	6.54387i		−	0.269179i
$592$	−4.96380	−	3.51578i	−0.204011	−	0.144498i
$593$	−3.07829	−	3.07829i	−0.126410	−	0.126410i	0.641071	−	0.767481i	$-0.278490\pi$
$593$	−3.07829	−	3.07829i	−0.126410	−	0.126410i	−0.767481	+	0.641071i	$0.778490\pi$
$594$	−11.8320	+	44.1576i	−0.485473	+	1.81181i
$595$	15.2139	+	15.7652i	0.623708	+	0.646309i
$596$	11.4629	+	6.61811i	0.469539	+	0.271088i
$597$	−19.0268	+	32.9553i	−0.778713	+	1.34877i
$598$		−	21.6664i		−	0.886004i
$599$	4.14590	+	2.39363i	0.169397	+	0.0978012i	0.582301	−	0.812973i	$-0.302152\pi$
$599$	4.14590	+	2.39363i	0.169397	+	0.0978012i	−0.412905	+	0.910774i	$0.635486\pi$
$600$	15.1320	−	3.48265i	0.617760	−	0.142179i
$601$	3.20750	+	5.55556i	0.130837	+	0.226616i	0.923999	−	0.382394i	$-0.124900\pi$
$601$	3.20750	+	5.55556i	0.130837	+	0.226616i	−0.793163	+	0.609010i	$0.791567\pi$
$602$	−19.6370	+	19.6370i	−0.800344	+	0.800344i
$603$	−25.7284	+	25.7284i	−1.04774	+	1.04774i
$604$	−1.74401	+	1.00690i	−0.0709626	+	0.0409703i
$605$	0.211554	−	11.8882i	0.00860089	−	0.483323i
$606$	−28.5690	+	28.5690i	−1.16053	+	1.16053i
$607$	−3.97865	+	2.29707i	−0.161488	+	0.0932353i	−0.578566	−	0.815635i	$-0.696388\pi$
$607$	−3.97865	+	2.29707i	−0.161488	+	0.0932353i	0.417078	+	0.908871i	$0.363054\pi$
$608$	−1.23682	+	4.61588i	−0.0501598	+	0.187199i
$609$	33.5010	+	8.97656i	1.35753	+	0.363749i
$610$	18.0282	−	17.3978i	0.729939	−	0.704415i
$611$	28.4617	−	7.62629i	1.15144	−	0.308526i
$612$	−16.4530	+	9.49914i	−0.665073	+	0.383980i
$613$	37.7449	+	10.1137i	1.52450	+	0.408489i	0.921221	−	0.389040i	$-0.127193\pi$
$613$	37.7449	+	10.1137i	1.52450	+	0.408489i	0.603281	+	0.797529i	$0.293860\pi$
$614$	16.7762	+	4.49518i	0.677034	+	0.181411i
$615$	−32.3102	−	9.27670i	−1.30287	−	0.374073i
$616$	3.58251	+	13.3701i	0.144343	+	0.538697i
$617$	10.0588	−	37.5401i	0.404954	−	1.51131i	−0.399187	−	0.916870i	$-0.630708\pi$
$617$	10.0588	−	37.5401i	0.404954	−	1.51131i	0.804141	−	0.594439i	$-0.202626\pi$
$618$	6.13346	+	6.13346i	0.246724	+	0.246724i
$619$	−7.81097			−0.313950			−0.156975	−	0.987603i	$-0.550174\pi$
$619$	−7.81097			−0.313950			−0.156975	+	0.987603i	$0.550174\pi$
$620$	6.01172	−	1.49672i	0.241437	−	0.0601097i
$621$	−45.5494	+	45.5494i	−1.82784	+	1.82784i
$622$	−22.1528	+	5.93582i	−0.888245	+	0.238005i
$623$	−41.5777			−1.66578
$624$	−11.4183	+	3.05953i	−0.457098	+	0.122479i
$625$	24.9367	+	1.77784i	0.997468	+	0.0711137i
$626$	−11.8290	+	20.4884i	−0.472782	+	0.818882i
$627$	−29.9737	−	51.9159i	−1.19703	−	2.07332i
$628$	−8.81580	+	8.81580i	−0.351789	+	0.351789i
$629$	14.1934	+	10.0529i	0.565926	+	0.400837i
$630$	14.0490	−	48.9320i	0.559727	−	1.94950i
$631$	17.0253	+	4.56193i	0.677768	+	0.181607i	0.581251	−	0.813724i	$-0.302563\pi$
$631$	17.0253	+	4.56193i	0.677768	+	0.181607i	0.0965165	+	0.995331i	$0.469230\pi$
$632$	−10.7534	+	2.88137i	−0.427748	+	0.114615i
$633$	3.55325	+	13.2609i	0.141229	+	0.527074i
$634$	−5.18259	−	19.3417i	−0.205827	−	0.768157i
$635$	11.7049	−	40.7676i	0.464496	−	1.61781i
$636$	10.9680	−	18.9972i	0.434910	−	0.753287i
$637$	18.0492			0.715137
$638$	3.40751	−	12.7170i	0.134904	−	0.503470i
$639$		−	67.1876i		−	2.65790i
$640$	1.08340	+	1.95608i	0.0428252	+	0.0773208i
$641$	−7.16902	−	12.4171i	−0.283159	−	0.490446i	0.689002	−	0.724760i	$-0.258049\pi$
$641$	−7.16902	−	12.4171i	−0.283159	−	0.490446i	−0.972161	+	0.234313i	$0.924716\pi$
$642$	18.1480	−	31.4333i	0.716245	−	1.24057i
$643$	−11.4607			−0.451966			−0.225983	−	0.974131i	$-0.572559\pi$
$643$	−11.4607			−0.451966			−0.225983	+	0.974131i	$0.572559\pi$
$644$	−5.04805	+	18.8396i	−0.198921	+	0.742383i
$645$	−13.5964	−	54.6114i	−0.535359	−	2.15032i
$646$	3.53654	−	13.1985i	0.139143	−	0.519290i
$647$	14.9982	+	8.65924i	0.589642	+	0.340430i	0.764956	−	0.644083i	$-0.222761\pi$
$647$	14.9982	+	8.65924i	0.589642	+	0.340430i	−0.175314	+	0.984513i	$0.556094\pi$
$648$	13.1747	+	7.60643i	0.517552	+	0.298809i
$649$	4.97803	−	18.5783i	0.195405	−	0.729261i
$650$	−19.0204	−	0.677162i	−0.746041	−	0.0265605i
$651$	7.63076	−	28.4784i	0.299073	−	1.11616i
$652$	−4.21817			−0.165196
$653$	−6.81254	+	11.7997i	−0.266595	+	0.461757i	−0.967980	−	0.251026i	$-0.919232\pi$
$653$	−6.81254	+	11.7997i	−0.266595	+	0.461757i	0.701385	+	0.712783i	$0.252565\pi$
$654$	0.0854038	+	0.147924i	0.00333955	+	0.00578428i
$655$	−10.7936	+	37.5935i	−0.421741	+	1.46890i
$656$		−	4.84086i		−	0.189004i
$657$	−17.2952	+	64.5467i	−0.674751	+	2.51821i
$658$	−26.5252			−1.03406
$659$	−14.0244	+	24.2909i	−0.546312	+	0.946240i	0.452211	+	0.891911i	$0.350635\pi$
$659$	−14.0244	+	24.2909i	−0.546312	+	0.946240i	−0.998523	+	0.0543290i	$0.982698\pi$
$660$	−26.9614	−	7.74099i	−1.04947	−	0.301318i
$661$	4.43982	+	16.5696i	0.172689	+	0.644484i	0.996934	+	0.0782501i	$0.0249333\pi$
$661$	4.43982	+	16.5696i	0.172689	+	0.644484i	−0.824245	+	0.566233i	$0.808400\pi$
$662$	6.47182	+	24.1532i	0.251534	+	0.938739i
$663$	32.6492	−	8.74833i	1.26799	−	0.339757i
$664$	−2.76164	−	0.739978i	−0.107172	−	0.0287167i
$665$	17.7405	+	32.0304i	0.687948	+	1.24209i
$666$	3.73975	−	40.2417i	0.144912	−	1.55934i
$667$	13.1178	−	13.1178i	0.507924	−	0.507924i
$668$	1.16263	+	2.01373i	0.0449833	+	0.0779134i
$669$	42.8340	−	74.1907i	1.65606	−	2.86838i
$670$	−8.50329	−	8.81141i	−0.328511	−	0.340415i
$671$	−43.7179	+	11.7142i	−1.68771	+	0.452221i
$672$	10.6414			0.410501
$673$	38.4139	−	10.2930i	1.48075	−	0.396765i	0.574145	−	0.818753i	$-0.305334\pi$
$673$	38.4139	−	10.2930i	1.48075	−	0.396765i	0.906601	+	0.421989i	$0.138668\pi$
$674$	−2.63399	+	2.63399i	−0.101457	+	0.101457i
$675$	38.5631	+	41.4104i	1.48430	+	1.59389i
$676$	1.48936			0.0572829
$677$	8.89493	+	8.89493i	0.341860	+	0.341860i	0.857066	−	0.515206i	$-0.172285\pi$
$677$	8.89493	+	8.89493i	0.341860	+	0.341860i	−0.515206	+	0.857066i	$0.672285\pi$
$678$	16.1172	−	60.1502i	0.618977	−	2.31005i
$679$	−8.94596	−	33.3868i	−0.343314	−	1.28127i
$680$	−3.09785	−	5.59316i	−0.118797	−	0.214488i
$681$	14.5128	+	3.88868i	0.556130	+	0.149015i
$682$	−10.8104	−	2.89664i	−0.413952	−	0.110918i
$683$	−41.0110	+	23.6777i	−1.56924	+	0.906002i	−0.572983	+	0.819567i	$0.694214\pi$
$683$	−41.0110	+	23.6777i	−1.56924	+	0.906002i	−0.996258	+	0.0864347i	$0.972453\pi$
$684$	−30.6689	+	8.21770i	−1.17265	+	0.314212i
$685$	−12.6056	−	13.0624i	−0.481635	−	0.499088i
$686$	7.47464	+	2.00282i	0.285383	+	0.0764681i
$687$	−0.415921	+	1.55224i	−0.0158684	+	0.0592215i
$688$	7.01868	−	4.05223i	0.267584	−	0.154490i
$689$	−19.0123	+	19.0123i	−0.724311	+	0.724311i
$690$	−27.4472	−	28.4418i	−1.04490	−	1.08276i
$691$	13.8183	−	7.97799i	0.525672	−	0.303497i	−0.213580	−	0.976926i	$-0.568512\pi$
$691$	13.8183	−	7.97799i	0.525672	−	0.303497i	0.739252	+	0.673429i	$0.235179\pi$
$692$	3.55379	−	3.55379i	0.135095	−	0.135095i
$693$	−65.0308	+	65.0308i	−2.47032	+	2.47032i
$694$	−5.69665	−	9.86689i	−0.216242	−	0.374542i
$695$	28.3039	−	15.6765i	1.07363	−	0.594645i
$696$	−8.76555	−	5.06079i	−0.332257	−	0.191829i
$697$			13.8418i			0.524297i
$698$	9.72420	−	16.8428i	0.368066	−	0.637509i
$699$	63.7484	+	36.8052i	2.41119	+	1.39210i
$700$	16.3810	+	5.02037i	0.619145	+	0.189752i
$701$	11.5726	−	43.1895i	0.437091	−	1.63125i	−0.298921	−	0.954278i	$-0.596627\pi$
$701$	11.5726	−	43.1895i	0.437091	−	1.63125i	0.736012	−	0.676968i	$-0.236707\pi$
$702$	−30.4611	−	30.4611i	−1.14968	−	1.14968i
$703$	18.5639	+	22.3678i	0.700151	+	0.843617i
$704$		−	4.03948i		−	0.152244i
$705$	27.7010	−	46.0667i	1.04328	−	1.73497i
$706$	16.8106	+	9.70560i	0.632675	+	0.365275i
$707$	−43.0611	+	11.5382i	−1.61948	+	0.433939i
$708$	−12.8056	−	7.39332i	−0.481264	−	0.277858i
$709$	1.65467	−	1.65467i	0.0621426	−	0.0621426i	−0.675352	−	0.737495i	$-0.736008\pi$
$709$	1.65467	−	1.65467i	0.0621426	−	0.0621426i	0.737495	+	0.675352i	$0.236008\pi$
$710$	22.6080	+	0.402317i	0.848464	+	0.0150987i
$711$	−52.3035	−	52.3035i	−1.96153	−	1.96153i
$712$	11.7203	+	3.14045i	0.439237	+	0.117693i
$713$	−11.1512	−	11.1512i	−0.417614	−	0.417614i
$714$	−30.4278			−1.13873
$715$	29.4654	+	17.7182i	1.10194	+	0.662624i
$716$	3.96891	−	1.06346i	0.148325	−	0.0397435i
$717$			20.3133i			0.758615i
$718$	10.2546	+	17.7615i	0.382697	+	0.662851i
$719$	5.43531	−	3.13808i	0.202703	−	0.117030i	−0.395213	−	0.918590i	$-0.629329\pi$
$719$	5.43531	−	3.13808i	0.202703	−	0.117030i	0.597916	+	0.801559i	$0.295996\pi$
$720$	−7.65620	+	12.7322i	−0.285330	+	0.474503i
$721$	2.47713	+	9.24478i	0.0922532	+	0.344294i
$722$	1.91806	−	3.32218i	0.0713828	−	0.123639i
$723$	−24.1441	−	41.8189i	−0.897930	−	1.55526i
$724$	−12.2925	−	21.2912i	−0.456847	−	0.791282i
$725$	−11.1058	−	11.9258i	−0.412461	−	0.442913i
$726$	11.6766	+	11.6766i	0.433360	+	0.433360i
$727$	−23.6154	−	13.6344i	−0.875848	−	0.505671i	−0.00656062	−	0.999978i	$-0.502088\pi$
$727$	−23.6154	−	13.6344i	−0.875848	−	0.505671i	−0.869287	+	0.494308i	$0.835422\pi$
$728$	−12.5989	−	3.37587i	−0.466948	−	0.125118i
$729$		−	4.35906i		−	0.161447i
$730$	−21.6158	−	6.20619i	−0.800036	−	0.229701i
$731$	−20.0690	+	11.5869i	−0.742280	+	0.428555i
$732$			34.7955i			1.28608i
$733$	6.31776	+	23.5782i	0.233352	+	0.870881i	0.978885	+	0.204413i	$0.0655284\pi$
$733$	6.31776	+	23.5782i	0.233352	+	0.870881i	−0.745533	+	0.666469i	$0.767805\pi$
$734$	−11.1483	−	11.1483i	−0.411491	−	0.411491i
$735$	23.6935	−	22.8650i	0.873948	−	0.843388i
$736$	2.84598	−	4.92938i	0.104904	−	0.181699i
$737$	5.72540	+	21.3675i	0.210898	+	0.787081i
$738$	27.8546	−	16.0818i	1.02534	−	0.591980i
$739$	30.0904			1.10689			0.553447	−	0.832884i	$-0.313312\pi$
$739$	30.0904			1.10689			0.553447	+	0.832884i	$0.313312\pi$
$740$	13.5186	+	1.49936i	0.496953	+	0.0551175i
$741$	56.4897			2.07520
$742$	20.9614	−	12.1021i	0.769519	−	0.444282i
$743$	4.86228	+	18.1463i	0.178380	+	0.665722i	0.995951	+	0.0898950i	$0.0286532\pi$
$743$	4.86228	+	18.1463i	0.178380	+	0.665722i	−0.817572	+	0.575827i	$0.804680\pi$
$744$	−4.30206	+	7.45138i	−0.157721	+	0.273181i
$745$	−29.5924	−	0.526606i	−1.08418	−	0.0192934i
$746$	−3.10336	−	3.10336i	−0.113622	−	0.113622i
$747$	−4.91657	−	18.3489i	−0.179888	−	0.671350i
$748$			11.5504i			0.422324i
$749$	34.6834	−	20.0245i	1.26731	−	0.731679i
$750$	−25.8262	+	23.2063i	−0.943039	+	0.847375i
$751$			22.5151i			0.821587i	0.911728	+	0.410794i	$0.134748\pi$
$751$			22.5151i			0.821587i	−0.911728	+	0.410794i	$0.865252\pi$
$752$	7.47715	+	2.00350i	0.272664	+	0.0730600i
$753$	35.2535	+	20.3536i	1.28471	+	0.741727i
$754$	8.77253	+	8.77253i	0.319477	+	0.319477i
$755$	2.32053	−	3.85904i	0.0844528	−	0.140445i
$756$	19.3897	+	33.5840i	0.705198	+	1.22144i
$757$	6.41436	+	11.1100i	0.233134	+	0.403800i	0.958729	−	0.284322i	$-0.0917686\pi$
$757$	6.41436	+	11.1100i	0.233134	+	0.403800i	−0.725595	+	0.688122i	$0.758435\pi$
$758$	−6.31273	+	10.9340i	−0.229289	+	0.397140i
$759$	18.4806	+	68.9706i	0.670804	+	2.50348i
$760$	−2.58154	−	10.3690i	−0.0936422	−	0.376123i
$761$	2.88185	−	1.66383i	0.104467	−	0.0603140i	−0.446856	−	0.894606i	$-0.647456\pi$
$761$	2.88185	−	1.66383i	0.104467	−	0.0603140i	0.551323	+	0.834292i	$0.314123\pi$
$762$	29.4533	+	51.0146i	1.06698	+	1.84806i
$763$			0.188469i			0.00682303i
$764$	5.79924	−	1.55390i	0.209809	−	0.0562182i
$765$	21.8919	−	36.4063i	0.791505	−	1.31627i
$766$	7.86808			0.284285
$767$	12.8158	+	12.8158i	0.462752	+	0.462752i
$768$	−2.99969	−	0.803766i	−0.108242	−	0.0290034i
$769$	−22.7310	−	22.7310i	−0.819701	−	0.819701i	0.166363	−	0.986064i	$-0.446797\pi$
$769$	−22.7310	−	22.7310i	−0.819701	−	0.819701i	−0.986064	+	0.166363i	$0.946797\pi$
$770$	−21.4929	−	22.2717i	−0.774549	−	0.802615i
$771$	−1.08492	+	1.08492i	−0.0390723	+	0.0390723i
$772$	−11.7896	−	6.80675i	−0.424318	−	0.244980i
$773$	−44.4329	+	11.9057i	−1.59814	+	0.428220i	−0.944480	−	0.328569i	$-0.893434\pi$
$773$	−44.4329	+	11.9057i	−1.59814	+	0.428220i	−0.653659	+	0.756789i	$0.726767\pi$
$774$	46.6335	+	26.9239i	1.67621	+	0.967759i
$775$	−10.1378	+	9.44081i	−0.364162	+	0.339124i
$776$			10.0871i			0.362105i
$777$	37.4129	−	52.8217i	1.34218	−	1.89497i
$778$	−12.6580	−	12.6580i	−0.453811	−	0.453811i
$779$	−5.98728	+	22.3448i	−0.214517	+	0.800587i
$780$	19.0204	−	18.3553i	0.681039	−	0.657224i
$781$	−35.3755	−	20.4240i	−1.26583	−	0.730830i
$782$	−8.13772	+	14.0950i	−0.291004	+	0.504034i
$783$		−	36.8851i		−	1.31817i
$784$	4.10644	+	2.37085i	0.146658	+	0.0846733i
$785$	7.69333	−	26.7954i	0.274587	−	0.956370i
$786$	−27.1601	−	47.0427i	−0.968770	−	1.67796i
$787$	−8.17558	+	8.17558i	−0.291428	+	0.291428i	−0.837644	−	0.546216i	$-0.816068\pi$
$787$	−8.17558	+	8.17558i	−0.291428	+	0.291428i	0.546216	+	0.837644i	$0.316068\pi$
$788$	−1.49000	+	1.49000i	−0.0530791	+	0.0530791i
$789$	−4.42876	+	2.55694i	−0.157668	+	0.0910296i
$790$	17.9128	−	17.2865i	0.637310	−	0.615024i
$791$	48.5859	−	48.5859i	1.72752	−	1.72752i
$792$	23.2434	−	13.4196i	0.825917	−	0.476844i
$793$	11.0385	−	41.1963i	0.391989	−	1.46292i
$794$	16.6027	+	4.44868i	0.589208	+	0.157878i
$795$	−0.872730	+	49.0427i	−0.0309526	+	1.73937i
$796$	11.8360	−	3.17145i	0.419516	−	0.112409i
$797$	24.0817	−	13.9035i	0.853016	−	0.492489i	−0.00865136	−	0.999963i	$-0.502754\pi$
$797$	24.0817	−	13.9035i	0.853016	−	0.492489i	0.861667	+	0.507474i	$0.169421\pi$
$798$	−49.1195	−	13.1615i	−1.73881	−	0.465913i
$799$	−21.3800	−	5.72875i	−0.756369	−	0.202669i
$800$	−4.23844	−	2.65248i	−0.149851	−	0.0937793i
$801$	20.8658	+	77.8721i	0.737256	+	2.75148i
$802$	2.21835	−	8.27901i	0.0783328	−	0.292342i
$803$	28.7275	+	28.7275i	1.01377	+	1.01377i
$804$	17.0066			0.599776
$805$	−10.5365	−	42.3207i	−0.371361	−	1.49161i
$806$	7.45732	−	7.45732i	0.262673	−	0.262673i
$807$	73.6913	−	19.7455i	2.59406	−	0.695075i
$808$	13.0100			0.457689
$809$	−52.5815	+	14.0892i	−1.84867	+	0.495349i	−0.999465	−	0.0327172i	$-0.989584\pi$
$809$	−52.5815	+	14.0892i	−1.84867	+	0.495349i	−0.849203	+	0.528066i	$0.822917\pi$
$810$	−34.0116	−	0.605247i	−1.19505	−	0.0212662i
$811$	−14.8932	+	25.7958i	−0.522971	+	0.905813i	0.476672	+	0.879081i	$0.341843\pi$
$811$	−14.8932	+	25.7958i	−0.522971	+	0.905813i	−0.999643	+	0.0267311i	$0.991490\pi$
$812$	−5.58407	−	9.67189i	−0.195962	−	0.339417i
$813$	−19.7304	+	19.7304i	−0.691975	+	0.691975i
$814$	−20.0512	−	14.2019i	−0.702793	−	0.497777i
$815$	8.25106	−	4.56997i	0.289022	−	0.160079i
$816$	8.57725	+	2.29827i	0.300264	+	0.0804555i
$817$	−37.4093	+	10.0238i	−1.30879	+	0.350688i
$818$	−3.48612	−	13.0104i	−0.121889	−	0.454898i
$819$	−22.4300	−	83.7099i	−0.783768	−	2.92506i
$820$	5.24460	+	9.46910i	0.183149	+	0.330675i
$821$	−13.8090	+	23.9179i	−0.481937	+	0.834740i	−0.999785	−	0.0207329i	$-0.993400\pi$
$821$	−13.8090	+	23.9179i	−0.481937	+	0.834740i	0.517848	+	0.855473i	$0.326733\pi$
$822$	25.2112			0.879342
$823$	12.7827	−	47.7057i	0.445577	−	1.66292i	−0.268832	−	0.963187i	$-0.586637\pi$
$823$	12.7827	−	47.7057i	0.445577	−	1.66292i	0.714409	−	0.699729i	$-0.246696\pi$
$824$		−	2.79311i		−	0.0973024i
$825$	61.1253	−	14.0681i	2.12811	−	0.489788i
$826$	−8.15777	−	14.1297i	−0.283845	−	0.491634i
$827$	−10.9759	+	19.0108i	−0.381668	+	0.661069i	−0.991301	−	0.131615i	$-0.957984\pi$
$827$	−10.9759	+	19.0108i	−0.381668	+	0.661069i	0.609632	+	0.792684i	$0.291317\pi$
$828$	37.8186			1.31429
$829$	−11.0915	+	41.3939i	−0.385222	+	1.43767i	0.452594	+	0.891717i	$0.350499\pi$
$829$	−11.0915	+	41.3939i	−0.385222	+	1.43767i	−0.837816	+	0.545952i	$0.816168\pi$
$830$	6.20367	−	1.54451i	0.215332	−	0.0536106i
$831$	−17.6305	+	65.7977i	−0.611594	+	2.28250i
$832$	3.29652	+	1.90324i	0.114286	+	0.0659831i
$833$	−11.7418	−	6.77916i	−0.406831	−	0.234884i
$834$	−11.6303	+	43.4048i	−0.402723	+	1.50298i
$835$	−4.45586	−	2.67941i	−0.154201	−	0.0927250i
$836$	−4.99612	+	18.6458i	−0.172794	+	0.644878i
$837$	−31.3552			−1.08379
$838$	1.67490	−	2.90102i	0.0578585	−	0.100214i
$839$	−10.4034	−	18.0193i	−0.359166	−	0.622094i	0.628656	−	0.777684i	$-0.283606\pi$
$839$	−10.4034	−	18.0193i	−0.359166	−	0.622094i	−0.987822	+	0.155590i	$0.950272\pi$
$840$	−20.8154	+	11.5289i	−0.718200	+	0.397785i
$841$		−	18.3774i		−	0.633704i
$842$	3.85004	−	14.3685i	0.132681	−	0.495172i
$843$	69.2604			2.38546
$844$	2.21038	−	3.82849i	0.0760844	−	0.131782i
$845$	−2.91330	+	1.61357i	−0.100220	+	0.0555085i
$846$	13.3116	+	49.6797i	0.457664	+	1.70802i
$847$	4.71586	+	17.5998i	0.162039	+	0.604737i
$848$	−6.82289	+	1.82819i	−0.234299	+	0.0627803i
$849$	52.1199	+	13.9655i	1.78875	+	0.479295i
$850$	12.1193	+	7.58444i	0.415688	+	0.260144i
$851$	−14.4626	−	31.4575i	−0.495772	−	1.07835i
$852$	−22.2057	+	22.2057i	−0.760755	+	0.760755i
$853$	−7.69466	−	13.3276i	−0.263460	−	0.456327i	0.703699	−	0.710498i	$-0.251530\pi$
$853$	−7.69466	−	13.3276i	−0.263460	−	0.456327i	−0.967159	+	0.254172i	$0.918197\pi$
$854$	−19.1967	+	33.2496i	−0.656896	+	1.13778i
$855$	51.0877	−	49.3012i	1.74716	−	1.68607i
$856$	−11.2894	+	3.02498i	−0.385863	+	0.103392i
$857$	−0.431363			−0.0147351			−0.00736754	−	0.999973i	$-0.502345\pi$
$857$	−0.431363			−0.0147351			−0.00736754	+	0.999973i	$0.502345\pi$
$858$	−46.1240	+	12.3589i	−1.57465	+	0.421926i
$859$	18.2738	−	18.2738i	0.623493	−	0.623493i	−0.322930	−	0.946423i	$-0.604668\pi$
$859$	18.2738	−	18.2738i	0.623493	−	0.623493i	0.946423	+	0.322930i	$0.104668\pi$
$860$	−9.33888	+	15.5305i	−0.318453	+	0.529587i
$861$	51.5135			1.75558
$862$	−1.32987	−	1.32987i	−0.0452956	−	0.0452956i
$863$	1.81110	−	6.75912i	0.0616506	−	0.230083i	−0.928225	−	0.372018i	$-0.878666\pi$
$863$	1.81110	−	6.75912i	0.0616506	−	0.230083i	0.989876	+	0.141935i	$0.0453325\pi$
$864$	−2.92909	−	10.9315i	−0.0996496	−	0.371897i
$865$	−3.10130	+	10.8017i	−0.105447	+	0.367267i
$866$	−9.39608	−	2.51767i	−0.319292	−	0.0855540i
$867$	26.4692	+	7.09241i	0.898942	+	0.240871i
$868$	−8.22184	+	4.74688i	−0.279068	+	0.161120i
$869$	−43.4382	+	11.6392i	−1.47354	+	0.394834i
$870$	22.6290	+	0.402690i	0.767194	+	0.0136525i
$871$	−20.1350	−	5.39516i	−0.682249	−	0.182808i
$872$	0.0142354	−	0.0531273i	0.000482072	−	0.00179912i
$873$	−58.0415	+	33.5103i	−1.96441	+	1.13415i
$874$	−19.2335	+	19.2335i	−0.650582	+	0.650582i
$875$	−37.4817	+	7.92701i	−1.26711	+	0.267982i
$876$	27.0490	−	15.6167i	0.913900	−	0.527640i
$877$	15.5055	−	15.5055i	0.523583	−	0.523583i	−0.395069	−	0.918652i	$-0.629279\pi$
$877$	15.5055	−	15.5055i	0.523583	−	0.523583i	0.918652	+	0.395069i	$0.129279\pi$
$878$	−5.69064	+	5.69064i	−0.192050	+	0.192050i
$879$	12.8983	+	22.3405i	0.435050	+	0.753528i
$880$	4.37638	+	7.90154i	0.147528	+	0.266361i
$881$	11.9260	+	6.88550i	0.401798	+	0.231978i	0.687260	−	0.726412i	$-0.258813\pi$
$881$	11.9260	+	6.88550i	0.401798	+	0.231978i	−0.285461	+	0.958390i	$0.592147\pi$
$882$			31.5049i			1.06082i
$883$	−1.81730	+	3.14766i	−0.0611571	+	0.105927i	−0.894983	−	0.446100i	$-0.852812\pi$
$883$	−1.81730	+	3.14766i	−0.0611571	+	0.105927i	0.833826	+	0.552028i	$0.186146\pi$
$884$	−9.42598	−	5.44209i	−0.317030	−	0.183037i
$885$	33.0587	+	0.588290i	1.11126	+	0.0197751i
$886$	10.7232	−	40.0197i	0.360254	−	1.34449i
$887$	24.7433	+	24.7433i	0.830800	+	0.830800i	0.987626	−	0.156826i	$-0.0501262\pi$
$887$	24.7433	+	24.7433i	0.830800	+	0.830800i	−0.156826	+	0.987626i	$0.550126\pi$
$888$	−14.5360	+	12.0640i	−0.487796	+	0.404842i
$889$			64.9974i			2.17994i
$890$	−26.3282	+	6.55484i	−0.882523	+	0.219719i
$891$	53.2190	+	30.7260i	1.78290	+	1.02936i
$892$	−26.6458	+	7.13973i	−0.892169	+	0.239056i
$893$	−32.0357	−	18.4958i	−1.07203	−	0.618939i
$894$	29.0658	−	29.0658i	0.972106	−	0.972106i
$895$	−6.61133	+	6.38014i	−0.220992	+	0.213265i
$896$	−2.42298	−	2.42298i	−0.0809462	−	0.0809462i
$897$	−64.9925	−	17.4147i	−2.17004	−	0.581460i
$898$	14.5853	+	14.5853i	0.486718	+	0.486718i
$899$	9.03001			0.301168
$900$	1.18198	−	33.2000i	0.0393994	−	1.10667i
$901$	19.5092	−	5.22748i	0.649946	−	0.174153i
$902$		−	19.5546i		−	0.651095i
$903$	43.1214	+	74.6885i	1.43499	+	2.48548i
$904$	−17.3656	+	10.0261i	−0.577573	+	0.333462i
$905$	47.1120	+	28.3296i	1.56606	+	0.941707i
$906$	1.61863	+	6.04080i	0.0537753	+	0.200692i
$907$	23.5139	−	40.7272i	0.780765	−	1.35232i	−0.150732	−	0.988575i	$-0.548163\pi$
$907$	23.5139	−	40.7272i	0.780765	−	1.35232i	0.931497	−	0.363750i	$-0.118504\pi$
$908$	−2.41904	−	4.18990i	−0.0802786	−	0.139047i
$909$	43.2205	+	74.8600i	1.43353	+	2.48295i
$910$	28.3019	−	7.04624i	0.938200	−	0.233581i
$911$	−8.11445	−	8.11445i	−0.268844	−	0.268844i	0.559791	−	0.828634i	$-0.310882\pi$
$911$	−8.11445	−	8.11445i	−0.268844	−	0.268844i	−0.828634	+	0.559791i	$0.810882\pi$
$912$	12.8521	+	7.42018i	0.425576	+	0.245707i
$913$	−11.1556	−	2.98913i	−0.369195	−	0.0989256i
$914$		−	29.3091i		−	0.969460i
$915$	−37.6975	−	68.0627i	−1.24624	−	2.25008i
$916$	0.448138	−	0.258733i	0.0148069	−	0.00854876i
$917$		−	59.9369i		−	1.97929i
$918$	8.37536	+	31.2573i	0.276428	+	1.03164i
$919$	−24.4861	−	24.4861i	−0.807722	−	0.807722i	0.176566	−	0.984289i	$-0.443501\pi$
$919$	−24.4861	−	24.4861i	−0.807722	−	0.807722i	−0.984289	+	0.176566i	$0.943501\pi$
$920$	−0.226456	+	12.7256i	−0.00746603	+	0.419550i
$921$	26.9683	−	46.7105i	0.888636	−	1.53916i
$922$	−5.21268	−	19.4540i	−0.171670	−	0.640683i
$923$	33.3351	−	19.2460i	1.09724	−	0.633490i
$924$	42.9857			1.41413
$925$	−28.0678	+	11.7132i	−0.922863	+	0.385127i
$926$	23.5433			0.773681
$927$	16.0717	−	9.27898i	0.527863	−	0.304762i
$928$	0.843551	+	3.14818i	0.0276909	+	0.103344i
$929$	−12.1234	+	20.9983i	−0.397755	+	0.688932i	−0.993449	−	0.114280i	$-0.963544\pi$
$929$	−12.1234	+	20.9983i	−0.397755	+	0.688932i	0.595694	+	0.803212i	$0.296877\pi$
$930$	0.342317	−	19.2363i	0.0112250	−	0.630784i
$931$	−16.0225	−	16.0225i	−0.525117	−	0.525117i
$932$	−6.13482	−	22.8955i	−0.200953	−	0.749965i
$933$			71.2226i			2.33172i
$934$	6.61118	−	3.81696i	0.216324	−	0.124895i
$935$	−12.5137	−	22.5935i	−0.409242	−	0.738885i
$936$			25.2911i			0.826665i
$937$	−19.1461	−	5.13019i	−0.625477	−	0.167596i	−0.0678607	−	0.997695i	$-0.521617\pi$
$937$	−19.1461	−	5.13019i	−0.625477	−	0.167596i	−0.557616	+	0.830099i	$0.688284\pi$
$938$	16.2510	+	9.38252i	0.530614	+	0.306350i
$939$	51.9513	+	51.9513i	1.69537	+	1.69537i
$940$	−16.7965	+	4.18176i	−0.547841	+	0.136394i
$941$	−6.80028	−	11.7784i	−0.221683	−	0.383966i	0.733636	−	0.679542i	$-0.237822\pi$
$941$	−6.80028	−	11.7784i	−0.221683	−	0.383966i	−0.955319	+	0.295576i	$0.904488\pi$
$942$	19.3589	+	33.5305i	0.630746	+	1.09248i
$943$	13.7770	−	23.8624i	0.448640	−	0.777068i
$944$	1.23234	+	4.59917i	0.0401094	+	0.149690i
$945$	−74.3128	−	44.6860i	−2.41740	−	1.45364i
$946$	28.3518	−	16.3689i	0.921796	−	0.532199i
$947$	1.88947	+	3.27266i	0.0613996	+	0.106347i	0.895091	−	0.445883i	$-0.147110\pi$
$947$	1.88947	+	3.27266i	0.0613996	+	0.106347i	−0.833692	+	0.552230i	$0.813777\pi$
$948$			34.5729i			1.12288i
$949$	−36.9790	+	9.90849i	−1.20039	+	0.321643i
$950$	16.2835	+	17.4857i	0.528306	+	0.567312i
$951$	−62.1847			−2.01648
$952$	6.92822	+	6.92822i	0.224545	+	0.224545i
$953$	9.83653	+	2.63569i	0.318637	+	0.0853784i	0.414592	−	0.910007i	$-0.363924\pi$
$953$	9.83653	+	2.63569i	0.318637	+	0.0853784i	−0.0959560	+	0.995386i	$0.530591\pi$
$954$	−33.1859	−	33.1859i	−1.07443	−	1.07443i
$955$	−9.66026	+	9.32246i	−0.312599	+	0.301668i
$956$	4.62523	−	4.62523i	0.149590	−	0.149590i
$957$	−35.4082	−	20.4430i	−1.14459	−	0.660827i
$958$	29.9224	−	8.01768i	0.966748	−	0.259039i
$959$	24.0911	+	13.9090i	0.777942	+	0.449145i
$960$	6.73844	−	1.67765i	0.217482	−	0.0541458i
$961$			23.3238i			0.752381i
$962$	21.0372	−	9.67184i	0.678265	−	0.311833i
$963$	−54.9103	−	54.9103i	−1.76946	−	1.76946i
$964$	−4.02443	+	15.0194i	−0.129618	+	0.483742i
$965$	30.4359	+	0.541616i	0.979766	+	0.0174352i
$966$	52.4555	+	30.2852i	1.68773	+	0.974411i
$967$	17.6702	−	30.6056i	0.568234	−	0.984211i	−0.428507	−	0.903539i	$-0.640960\pi$
$967$	17.6702	−	30.6056i	0.568234	−	0.984211i	0.996741	−	0.0806718i	$-0.0257066\pi$
$968$		−	5.31740i		−	0.170908i
$969$	−36.7491	−	21.2171i	−1.18055	−	0.681591i
$970$	−10.9284	−	19.7311i	−0.350888	−	0.633527i
$971$	13.6065	+	23.5671i	0.436653	+	0.756304i	0.997429	−	0.0716629i	$-0.0228306\pi$
$971$	13.6065	+	23.5671i	0.436653	+	0.756304i	−0.560776	+	0.827967i	$0.689497\pi$
$972$	9.39910	−	9.39910i	0.301476	−	0.301476i
$973$	−35.0599	+	35.0599i	−1.12397	+	1.12397i
$974$	8.10816	−	4.68125i	0.259802	−	0.149997i
$975$	−17.3192	+	56.5111i	−0.554659	+	1.80980i
$976$	7.92273	−	7.92273i	0.253601	−	0.253601i
$977$	−24.3406	+	14.0530i	−0.778724	+	0.449597i	−0.835978	−	0.548763i	$-0.815099\pi$
$977$	−24.3406	+	14.0530i	−0.778724	+	0.449597i	0.0572539	+	0.998360i	$0.481766\pi$
$978$	−3.39042	+	12.6532i	−0.108414	+	0.404605i
$979$	47.3439	+	12.6858i	1.51312	+	0.405439i
$980$	−10.6011	−	0.188650i	−0.338640	−	0.00602620i
$981$	0.352989	−	0.0945831i	0.0112701	−	0.00301981i
$982$	12.8542	−	7.42138i	0.410194	−	0.236826i
$983$	−23.7628	−	6.36723i	−0.757917	−	0.203083i	−0.140890	−	0.990025i	$-0.544996\pi$
$983$	−23.7628	−	6.36723i	−0.757917	−	0.203083i	−0.617027	+	0.786942i	$0.711663\pi$
$984$	−14.5211	−	3.89092i	−0.462916	−	0.124038i
$985$	1.30029	−	4.52883i	0.0414306	−	0.144300i
$986$	−2.41203	−	9.00181i	−0.0768146	−	0.286676i
$987$	−21.3200	+	79.5674i	−0.678623	+	2.53266i
$988$	−12.8624	−	12.8624i	−0.409206	−	0.409206i
$989$	46.1303			1.46686
$990$	−30.9271	+	51.4316i	−0.982926	+	1.63460i
$991$	−31.5560	+	31.5560i	−1.00241	+	1.00241i	−0.00241350	+	0.999997i	$0.500768\pi$
$991$	−31.5560	+	31.5560i	−1.00241	+	1.00241i	−0.999997	+	0.00241350i	$0.999232\pi$
$992$	2.67619	−	0.717083i	0.0849691	−	0.0227674i
$993$	77.6539			2.46427
$994$	−33.4700	+	8.96826i	−1.06160	+	0.284456i
$995$	−19.7162	+	19.0268i	−0.625046	+	0.603189i
$996$	−4.43942	+	7.68929i	−0.140668	+	0.243645i
$997$	−4.92730	−	8.53434i	−0.156049	−	0.270285i	0.777391	−	0.629017i	$-0.216543\pi$
$997$	−4.92730	−	8.53434i	−0.156049	−	0.270285i	−0.933441	+	0.358732i	$0.883209\pi$
$998$	1.07557	−	1.07557i	0.0340466	−	0.0340466i
$999$	−64.5598	−	23.8934i	−2.04258	−	0.755954i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.r.d.193.3	yes	12
5.2	odd	4		370.2.q.d.267.3	✓	12
37.14	odd	12		370.2.q.d.273.3	yes	12
185.162	even	12	inner	370.2.r.d.347.3	yes	12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.q.d.267.3	✓	12	5.2	odd	4
370.2.q.d.273.3	yes	12	37.14	odd	12
370.2.r.d.193.3	yes	12	1.1	even	1	trivial
370.2.r.d.347.3	yes	12	185.162	even	12	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.866025 + 0.500000i) q^{2} +(0.803766 + 2.99969i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-0.0397852 + 2.23571i) q^{5} +(-2.19593 - 2.19593i) q^{6} +(-0.886874 - 3.30986i) q^{7} +1.00000i q^{8} +(-5.75405 + 3.32210i) q^{9} +O(q^{10})\)	\(q+(-0.866025 + 0.500000i) q^{2} +(0.803766 + 2.99969i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-0.0397852 + 2.23571i) q^{5} +(-2.19593 - 2.19593i) q^{6} +(-0.886874 - 3.30986i) q^{7} +1.00000i q^{8} +(-5.75405 + 3.32210i) q^{9} +(-1.08340 - 1.95608i) q^{10} +4.03948i q^{11} +(2.99969 + 0.803766i) q^{12} +(-3.29652 - 1.90324i) q^{13} +(2.42298 + 2.42298i) q^{14} +(-6.73844 + 1.67765i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(1.42969 + 2.47629i) q^{17} +(3.32210 - 5.75405i) q^{18} +(1.23682 + 4.61588i) q^{19} +(1.91629 + 1.15231i) q^{20} +(9.21572 - 5.32070i) q^{21} +(-2.01974 - 3.49829i) q^{22} -5.69196i q^{23} +(-2.99969 + 0.803766i) q^{24} +(-4.99683 - 0.177897i) q^{25} +3.80649 q^{26} +(-8.00242 - 8.00242i) q^{27} +(-3.30986 - 0.886874i) q^{28} +(2.30462 + 2.30462i) q^{29} +(4.99683 - 4.82210i) q^{30} +(1.95911 - 1.95911i) q^{31} +(0.866025 + 0.500000i) q^{32} +(-12.1172 + 3.24680i) q^{33} +(-2.47629 - 1.42969i) q^{34} +(7.43518 - 1.85111i) q^{35} +6.64421i q^{36} +(5.52666 - 2.54088i) q^{37} +(-3.37906 - 3.37906i) q^{38} +(3.05953 - 11.4183i) q^{39} +(-2.23571 - 0.0397852i) q^{40} +(4.19231 + 2.42043i) q^{41} +(-5.32070 + 9.21572i) q^{42} +8.10447i q^{43} +(3.49829 + 2.01974i) q^{44} +(-7.19835 - 12.9966i) q^{45} +(2.84598 + 4.92938i) q^{46} +(-5.47365 + 5.47365i) q^{47} +(2.19593 - 2.19593i) q^{48} +(-4.10644 + 2.37085i) q^{49} +(4.41633 - 2.34435i) q^{50} +(-6.27898 + 6.27898i) q^{51} +(-3.29652 + 1.90324i) q^{52} +(1.82819 - 6.82289i) q^{53} +(10.9315 + 2.92909i) q^{54} +(-9.03112 - 0.160712i) q^{55} +(3.30986 - 0.886874i) q^{56} +(-12.8521 + 7.42018i) q^{57} +(-3.14818 - 0.843551i) q^{58} +(-4.59917 - 1.23234i) q^{59} +(-1.91633 + 6.67448i) q^{60} +(2.89992 + 10.8227i) q^{61} +(-0.717083 + 2.67619i) q^{62} +(16.0988 + 16.0988i) q^{63} -1.00000 q^{64} +(4.38626 - 7.29435i) q^{65} +(8.87041 - 8.87041i) q^{66} +(5.28966 - 1.41736i) q^{67} +2.85938 q^{68} +(17.0741 - 4.57500i) q^{69} +(-5.51350 + 5.32070i) q^{70} +(-5.05611 + 8.75743i) q^{71} +(-3.32210 - 5.75405i) q^{72} +(7.11167 - 7.11167i) q^{73} +(-3.51578 + 4.96380i) q^{74} +(-3.48265 - 15.1320i) q^{75} +(4.61588 + 1.23682i) q^{76} +(13.3701 - 3.58251i) q^{77} +(3.05953 + 11.4183i) q^{78} +(2.88137 + 10.7534i) q^{79} +(1.95608 - 1.08340i) q^{80} +(7.60643 - 13.1747i) q^{81} -4.84086 q^{82} +(-0.739978 + 2.76164i) q^{83} -10.6414i q^{84} +(-5.59316 + 3.09785i) q^{85} +(-4.05223 - 7.01868i) q^{86} +(-5.06079 + 8.76555i) q^{87} -4.03948 q^{88} +(3.14045 - 11.7203i) q^{89} +(12.7322 + 7.65620i) q^{90} +(-3.37587 + 12.5989i) q^{91} +(-4.92938 - 2.84598i) q^{92} +(7.45138 + 4.30206i) q^{93} +(2.00350 - 7.47715i) q^{94} +(-10.3690 + 2.58154i) q^{95} +(-0.803766 + 2.99969i) q^{96} +10.0871 q^{97} +(2.37085 - 4.10644i) q^{98} +(-13.4196 - 23.2434i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q + 6 q^{3} + 6 q^{4} - 8 q^{5} + 6 q^{6} - 4 q^{7} - 18 q^{9}+O(q^{10}) \) 12 * q + 6 * q^3 + 6 * q^4 - 8 * q^5 + 6 * q^6 - 4 * q^7 - 18 * q^9	\( 12 q + 6 q^{3} + 6 q^{4} - 8 q^{5} + 6 q^{6} - 4 q^{7} - 18 q^{9} - 4 q^{10} - 6 q^{13} - 8 q^{14} - 14 q^{15} - 6 q^{16} + 12 q^{17} + 10 q^{18} + 8 q^{19} - 4 q^{20} + 54 q^{21} - 10 q^{22} - 10 q^{25} - 18 q^{27} + 4 q^{28} - 4 q^{29} + 10 q^{30} - 2 q^{31} - 28 q^{33} - 12 q^{34} + 14 q^{35} + 12 q^{37} + 16 q^{38} + 30 q^{39} - 2 q^{40} + 12 q^{41} - 22 q^{42} - 6 q^{44} + 24 q^{45} + 2 q^{46} - 28 q^{47} - 6 q^{48} - 24 q^{49} + 16 q^{50} - 8 q^{51} - 6 q^{52} + 14 q^{53} + 18 q^{54} - 32 q^{55} - 4 q^{56} - 72 q^{57} - 10 q^{58} + 14 q^{60} + 24 q^{61} - 16 q^{62} + 8 q^{63} - 12 q^{64} - 26 q^{65} + 8 q^{66} + 18 q^{67} + 24 q^{68} + 40 q^{69} + 6 q^{70} - 10 q^{72} + 28 q^{73} - 38 q^{74} - 30 q^{75} - 8 q^{76} + 26 q^{77} + 30 q^{78} + 56 q^{79} + 4 q^{80} + 4 q^{81} - 28 q^{82} + 14 q^{83} + 28 q^{85} - 22 q^{86} - 10 q^{87} - 20 q^{88} + 2 q^{89} + 42 q^{90} + 38 q^{91} - 18 q^{92} + 18 q^{93} + 16 q^{94} - 56 q^{95} - 6 q^{96} - 44 q^{97} + 22 q^{98} - 28 q^{99}+O(q^{100}) \) 12 * q + 6 * q^3 + 6 * q^4 - 8 * q^5 + 6 * q^6 - 4 * q^7 - 18 * q^9 - 4 * q^10 - 6 * q^13 - 8 * q^14 - 14 * q^15 - 6 * q^16 + 12 * q^17 + 10 * q^18 + 8 * q^19 - 4 * q^20 + 54 * q^21 - 10 * q^22 - 10 * q^25 - 18 * q^27 + 4 * q^28 - 4 * q^29 + 10 * q^30 - 2 * q^31 - 28 * q^33 - 12 * q^34 + 14 * q^35 + 12 * q^37 + 16 * q^38 + 30 * q^39 - 2 * q^40 + 12 * q^41 - 22 * q^42 - 6 * q^44 + 24 * q^45 + 2 * q^46 - 28 * q^47 - 6 * q^48 - 24 * q^49 + 16 * q^50 - 8 * q^51 - 6 * q^52 + 14 * q^53 + 18 * q^54 - 32 * q^55 - 4 * q^56 - 72 * q^57 - 10 * q^58 + 14 * q^60 + 24 * q^61 - 16 * q^62 + 8 * q^63 - 12 * q^64 - 26 * q^65 + 8 * q^66 + 18 * q^67 + 24 * q^68 + 40 * q^69 + 6 * q^70 - 10 * q^72 + 28 * q^73 - 38 * q^74 - 30 * q^75 - 8 * q^76 + 26 * q^77 + 30 * q^78 + 56 * q^79 + 4 * q^80 + 4 * q^81 - 28 * q^82 + 14 * q^83 + 28 * q^85 - 22 * q^86 - 10 * q^87 - 20 * q^88 + 2 * q^89 + 42 * q^90 + 38 * q^91 - 18 * q^92 + 18 * q^93 + 16 * q^94 - 56 * q^95 - 6 * q^96 - 44 * q^97 + 22 * q^98 - 28 * q^99

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