LMFDB - Embedded newform 370.2.q.f.97.1

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			97.1
Character	$\chi$	$=$	370.97
Dual form			370.2.q.f.103.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.500000 - 0.866025i) q^{2} +(-0.875179 + 3.26621i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.0954522 + 2.23403i) q^{5} +(2.39103 + 2.39103i) q^{6} +(-0.371808 + 1.38761i) q^{7} -1.00000 q^{8} +(-7.30413 - 4.21704i) q^{9} +O(q^{10})$	\(q+(0.500000 - 0.866025i) q^{2} +(-0.875179 + 3.26621i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.0954522 + 2.23403i) q^{5} +(2.39103 + 2.39103i) q^{6} +(-0.371808 + 1.38761i) q^{7} -1.00000 q^{8} +(-7.30413 - 4.21704i) q^{9} +(1.88700 + 1.19968i) q^{10} -3.50418i q^{11} +(3.26621 - 0.875179i) q^{12} +(2.36301 + 4.09285i) q^{13} +(1.01580 + 1.01580i) q^{14} +(-7.21328 - 2.26694i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-0.841769 - 0.485996i) q^{17} +(-7.30413 + 4.21704i) q^{18} +(-2.83888 - 0.760674i) q^{19} +(1.98245 - 1.03435i) q^{20} +(-4.20682 - 2.42881i) q^{21} +(-3.03471 - 1.75209i) q^{22} -4.40324 q^{23} +(0.875179 - 3.26621i) q^{24} +(-4.98178 - 0.426486i) q^{25} +4.72601 q^{26} +(12.9931 - 12.9931i) q^{27} +(1.38761 - 0.371808i) q^{28} +(7.48307 + 7.48307i) q^{29} +(-5.56987 + 5.11341i) q^{30} +(-3.66211 + 3.66211i) q^{31} +(0.500000 + 0.866025i) q^{32} +(11.4454 + 3.06678i) q^{33} +(-0.841769 + 0.485996i) q^{34} +(-3.06447 - 0.963081i) q^{35} +8.43408i q^{36} +(2.45454 + 5.56554i) q^{37} +(-2.07820 + 2.07820i) q^{38} +(-15.4362 + 4.13611i) q^{39} +(0.0954522 - 2.23403i) q^{40} +(3.39922 - 1.96254i) q^{41} +(-4.20682 + 2.42881i) q^{42} -2.05539 q^{43} +(-3.03471 + 1.75209i) q^{44} +(10.1182 - 15.9151i) q^{45} +(-2.20162 + 3.81332i) q^{46} +(7.19687 + 7.19687i) q^{47} +(-2.39103 - 2.39103i) q^{48} +(4.27496 + 2.46815i) q^{49} +(-2.86024 + 4.10110i) q^{50} +(2.32406 - 2.32406i) q^{51} +(2.36301 - 4.09285i) q^{52} +(-0.343321 - 1.28129i) q^{53} +(-4.75579 - 17.7488i) q^{54} +(7.82843 + 0.334481i) q^{55} +(0.371808 - 1.38761i) q^{56} +(4.96905 - 8.60664i) q^{57} +(10.2221 - 2.73899i) q^{58} +(1.29704 + 4.84063i) q^{59} +(1.64341 + 7.38035i) q^{60} +(1.28615 + 0.344624i) q^{61} +(1.34043 + 5.00254i) q^{62} +(8.56733 - 8.56733i) q^{63} +1.00000 q^{64} +(-9.36910 + 4.88836i) q^{65} +(8.37860 - 8.37860i) q^{66} +(1.91490 + 0.513096i) q^{67} +0.971991i q^{68} +(3.85362 - 14.3819i) q^{69} +(-2.36629 + 2.17237i) q^{70} +(-3.83717 - 6.64618i) q^{71} +(7.30413 + 4.21704i) q^{72} +(-8.69667 - 8.69667i) q^{73} +(6.04717 + 0.657081i) q^{74} +(5.75294 - 15.8983i) q^{75} +(0.760674 + 2.83888i) q^{76} +(4.86242 + 1.30288i) q^{77} +(-4.13611 + 15.4362i) q^{78} +(-2.35523 - 0.631083i) q^{79} +(-1.88700 - 1.19968i) q^{80} +(18.4157 + 31.8970i) q^{81} -3.92508i q^{82} +(0.907980 + 3.38863i) q^{83} +4.85762i q^{84} +(1.16608 - 1.83415i) q^{85} +(-1.02770 + 1.78002i) q^{86} +(-30.9903 + 17.8923i) q^{87} +3.50418i q^{88} +(8.16888 - 2.18884i) q^{89} +(-8.72379 - 16.7202i) q^{90} +(-6.55785 + 1.75717i) q^{91} +(2.20162 + 3.81332i) q^{92} +(-8.75623 - 15.1662i) q^{93} +(9.83111 - 2.63424i) q^{94} +(1.97035 - 6.26952i) q^{95} +(-3.26621 + 0.875179i) q^{96} +4.02372i q^{97} +(4.27496 - 2.46815i) q^{98} +(-14.7772 + 25.5949i) 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 $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{1}{4}\right)$

Coefficient data

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

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

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

$2$	0.500000	−	0.866025i	0.353553	−	0.612372i
$2$	0.500000	−	0.866025i	0.353553	−	0.612372i
$3$	−0.875179	+	3.26621i	−0.505285	+	1.88575i	−0.0428780	+	0.999080i	$0.513653\pi$
$3$	−0.875179	+	3.26621i	−0.505285	+	1.88575i	−0.462407	+	0.886668i	$0.653014\pi$
$4$	−0.500000	−	0.866025i	−0.250000	−	0.433013i
$5$	−0.0954522	+	2.23403i	−0.0426875	+	0.999088i
$5$	−0.0954522	+	2.23403i	−0.0426875	+	0.999088i
$6$	2.39103	+	2.39103i	0.976135	+	0.976135i
$7$	−0.371808	+	1.38761i	−0.140530	+	0.524466i	0.859383	+	0.511332i	$0.170848\pi$
$7$	−0.371808	+	1.38761i	−0.140530	+	0.524466i	−0.999914	+	0.0131346i	$0.995819\pi$
$8$	−1.00000			−0.353553
$9$	−7.30413	−	4.21704i	−2.43471	−	1.40568i
$10$	1.88700	+	1.19968i	0.596722	+	0.379372i
$11$		−	3.50418i		−	1.05655i	−0.849074	−	0.528274i	$-0.822839\pi$
$11$		−	3.50418i		−	1.05655i	0.849074	−	0.528274i	$-0.177161\pi$
$12$	3.26621	−	0.875179i	0.942874	−	0.252642i
$13$	2.36301	+	4.09285i	0.655380	+	1.13515i	0.981798	+	0.189926i	$0.0608250\pi$
$13$	2.36301	+	4.09285i	0.655380	+	1.13515i	−0.326418	+	0.945226i	$0.605842\pi$
$14$	1.01580	+	1.01580i	0.271484	+	0.271484i
$15$	−7.21328	−	2.26694i	−1.86246	−	0.585322i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	−0.841769	−	0.485996i	−0.204159	−	0.117871i	0.394435	−	0.918924i	$-0.370940\pi$
$17$	−0.841769	−	0.485996i	−0.204159	−	0.117871i	−0.598594	+	0.801053i	$0.704274\pi$
$18$	−7.30413	+	4.21704i	−1.72160	+	0.993966i
$19$	−2.83888	−	0.760674i	−0.651283	−	0.174511i	−0.0819740	−	0.996634i	$-0.526122\pi$
$19$	−2.83888	−	0.760674i	−0.651283	−	0.174511i	−0.569309	+	0.822124i	$0.692789\pi$
$20$	1.98245	−	1.03435i	0.443290	−	0.231288i
$21$	−4.20682	−	2.42881i	−0.918004	−	0.530010i
$22$	−3.03471	−	1.75209i	−0.647001	−	0.373546i
$23$	−4.40324			−0.918140			−0.459070	−	0.888400i	$-0.651817\pi$
$23$	−4.40324			−0.918140			−0.459070	+	0.888400i	$0.651817\pi$
$24$	0.875179	−	3.26621i	0.178645	−	0.666713i
$25$	−4.98178	−	0.426486i	−0.996356	−	0.0852972i
$26$	4.72601			0.926848
$27$	12.9931	−	12.9931i	2.50052	−	2.50052i
$28$	1.38761	−	0.371808i	0.262233	−	0.0702652i
$29$	7.48307	+	7.48307i	1.38957	+	1.38957i	0.826211	+	0.563361i	$0.190492\pi$
$29$	7.48307	+	7.48307i	1.38957	+	1.38957i	0.563361	+	0.826211i	$0.309508\pi$
$30$	−5.56987	+	5.11341i	−1.01691	+	0.933577i
$31$	−3.66211	+	3.66211i	−0.657735	+	0.657735i	−0.954844	−	0.297109i	$-0.903978\pi$
$31$	−3.66211	+	3.66211i	−0.657735	+	0.657735i	0.297109	+	0.954844i	$0.403978\pi$
$32$	0.500000	+	0.866025i	0.0883883	+	0.153093i
$33$	11.4454	+	3.06678i	1.99239	+	0.533858i
$34$	−0.841769	+	0.485996i	−0.144362	+	0.0833476i
$35$	−3.06447	−	0.963081i	−0.517989	−	0.162790i
$36$			8.43408i			1.40568i
$37$	2.45454	+	5.56554i	0.403523	+	0.914969i
$37$	2.45454	+	5.56554i	0.403523	+	0.914969i
$38$	−2.07820	+	2.07820i	−0.337129	+	0.337129i
$39$	−15.4362	+	4.13611i	−2.47176	+	0.662307i
$40$	0.0954522	−	2.23403i	0.0150923	−	0.353231i
$41$	3.39922	−	1.96254i	0.530869	−	0.306498i	−0.210501	−	0.977594i	$-0.567510\pi$
$41$	3.39922	−	1.96254i	0.530869	−	0.306498i	0.741370	+	0.671096i	$0.234176\pi$
$42$	−4.20682	+	2.42881i	−0.649127	+	0.374773i
$43$	−2.05539			−0.313445			−0.156722	−	0.987643i	$-0.550093\pi$
$43$	−2.05539			−0.313445			−0.156722	+	0.987643i	$0.550093\pi$
$44$	−3.03471	+	1.75209i	−0.457499	+	0.264137i
$45$	10.1182	−	15.9151i	1.50833	−	2.37248i
$46$	−2.20162	+	3.81332i	−0.324611	+	0.562243i
$47$	7.19687	+	7.19687i	1.04977	+	1.04977i	0.998695	+	0.0510766i	$0.0162653\pi$
$47$	7.19687	+	7.19687i	1.04977	+	1.04977i	0.0510766	+	0.998695i	$0.483735\pi$
$48$	−2.39103	−	2.39103i	−0.345116	−	0.345116i
$49$	4.27496	+	2.46815i	0.610709	+	0.352593i
$50$	−2.86024	+	4.10110i	−0.404499	+	0.579984i
$51$	2.32406	−	2.32406i	0.325434	−	0.325434i
$52$	2.36301	−	4.09285i	0.327690	−	0.567576i
$53$	−0.343321	−	1.28129i	−0.0471587	−	0.175999i	0.938330	−	0.345742i	$-0.112373\pi$
$53$	−0.343321	−	1.28129i	−0.0471587	−	0.175999i	−0.985488	+	0.169743i	$0.945706\pi$
$54$	−4.75579	−	17.7488i	−0.647181	−	2.41531i
$55$	7.82843	+	0.334481i	1.05559	+	0.0451015i
$56$	0.371808	−	1.38761i	0.0496850	−	0.185427i
$57$	4.96905	−	8.60664i	0.658166	−	1.13998i
$58$	10.2221	−	2.73899i	1.34222	−	0.359648i
$59$	1.29704	+	4.84063i	0.168861	+	0.630196i	0.997516	+	0.0704374i	$0.0224395\pi$
$59$	1.29704	+	4.84063i	0.168861	+	0.630196i	−0.828656	+	0.559759i	$0.810894\pi$
$60$	1.64341	+	7.38035i	0.212163	+	0.952799i
$61$	1.28615	+	0.344624i	0.164675	+	0.0441246i	0.340215	−	0.940348i	$-0.389500\pi$
$61$	1.28615	+	0.344624i	0.164675	+	0.0441246i	−0.175539	+	0.984472i	$0.556167\pi$
$62$	1.34043	+	5.00254i	0.170234	+	0.635323i
$63$	8.56733	−	8.56733i	1.07938	−	1.07938i
$64$	1.00000			0.125000
$65$	−9.36910	+	4.88836i	−1.16209	+	0.606326i
$66$	8.37860	−	8.37860i	1.03133	−	1.03133i
$67$	1.91490	+	0.513096i	0.233942	+	0.0626847i	0.373885	−	0.927475i	$-0.378025\pi$
$67$	1.91490	+	0.513096i	0.233942	+	0.0626847i	−0.139943	+	0.990160i	$0.544692\pi$
$68$			0.971991i			0.117871i
$69$	3.85362	−	14.3819i	0.463922	−	1.73138i
$70$	−2.36629	+	2.17237i	−0.282825	+	0.259647i
$71$	−3.83717	−	6.64618i	−0.455389	−	0.788756i	0.543322	−	0.839524i	$-0.317166\pi$
$71$	−3.83717	−	6.64618i	−0.455389	−	0.788756i	−0.998710	+	0.0507683i	$0.983833\pi$
$72$	7.30413	+	4.21704i	0.860799	+	0.496983i
$73$	−8.69667	−	8.69667i	−1.01787	−	1.01787i	−0.999837	−	0.0180303i	$-0.994260\pi$
$73$	−8.69667	−	8.69667i	−1.01787	−	1.01787i	−0.0180303	−	0.999837i	$-0.505740\pi$
$74$	6.04717	+	0.657081i	0.702969	+	0.0763841i
$75$	5.75294	−	15.8983i	0.664292	−	1.83578i
$76$	0.760674	+	2.83888i	0.0872553	+	0.325641i
$77$	4.86242	+	1.30288i	0.554124	+	0.148477i
$78$	−4.13611	+	15.4362i	−0.468322	+	1.74780i
$79$	−2.35523	−	0.631083i	−0.264985	−	0.0710024i	0.123880	−	0.992297i	$-0.460466\pi$
$79$	−2.35523	−	0.631083i	−0.264985	−	0.0710024i	−0.388865	+	0.921295i	$0.627133\pi$
$80$	−1.88700	−	1.19968i	−0.210973	−	0.134128i
$81$	18.4157	+	31.8970i	2.04619	+	3.54411i
$82$		−	3.92508i		−	0.433453i
$83$	0.907980	+	3.38863i	0.0996637	+	0.371950i	0.997685	−	0.0680016i	$-0.0216623\pi$
$83$	0.907980	+	3.38863i	0.0996637	+	0.371950i	−0.898022	+	0.439952i	$0.854996\pi$
$84$			4.85762i			0.530010i
$85$	1.16608	−	1.83415i	0.126479	−	0.198941i
$86$	−1.02770	+	1.78002i	−0.110819	+	0.191945i
$87$	−30.9903	+	17.8923i	−3.32251	+	1.91825i
$88$			3.50418i			0.373546i
$89$	8.16888	−	2.18884i	0.865899	−	0.232017i	0.201586	−	0.979471i	$-0.435391\pi$
$89$	8.16888	−	2.18884i	0.865899	−	0.232017i	0.664314	+	0.747454i	$0.268724\pi$
$90$	−8.72379	−	16.7202i	−0.919569	−	1.76246i
$91$	−6.55785	+	1.75717i	−0.687450	+	0.184202i
$92$	2.20162	+	3.81332i	0.229535	+	0.397566i
$93$	−8.75623	−	15.1662i	−0.907979	−	1.57267i
$94$	9.83111	−	2.63424i	1.01400	−	0.271701i
$95$	1.97035	−	6.26952i	0.202153	−	0.643240i
$96$	−3.26621	+	0.875179i	−0.333356	+	0.0893226i
$97$			4.02372i			0.408547i	0.978914	+	0.204274i	$0.0654832\pi$
$97$			4.02372i			0.408547i	−0.978914	+	0.204274i	$0.934517\pi$
$98$	4.27496	−	2.46815i	0.431837	−	0.249321i
$99$	−14.7772	+	25.5949i	−1.48517	+	2.57239i
$100$	2.12154	+	4.52759i	0.212154	+	0.452759i
$101$			4.01042i			0.399052i	0.979893	+	0.199526i	$0.0639402\pi$
$101$			4.01042i			0.399052i	−0.979893	+	0.199526i	$0.936060\pi$
$102$	−0.850666	−	3.17473i	−0.0842285	−	0.314345i
$103$			10.6403i			1.04842i	0.851588	+	0.524212i	$0.175640\pi$
$103$			10.6403i			1.04842i	−0.851588	+	0.524212i	$0.824360\pi$
$104$	−2.36301	−	4.09285i	−0.231712	−	0.401337i
$105$	5.82758	−	9.16633i	0.568714	−	0.894542i
$106$	−1.28129	−	0.343321i	−0.124450	−	0.0333462i
$107$	3.01308	−	11.2450i	0.291285	−	1.08709i	−0.652838	−	0.757498i	$-0.726422\pi$
$107$	3.01308	−	11.2450i	0.291285	−	1.08709i	0.944123	−	0.329594i	$-0.106912\pi$
$108$	−17.7488	−	4.75579i	−1.70788	−	0.457626i
$109$	−0.0575535	−	0.214793i	−0.00551263	−	0.0205734i	0.963115	−	0.269091i	$-0.0867233\pi$
$109$	−0.0575535	−	0.214793i	−0.00551263	−	0.0205734i	−0.968627	+	0.248518i	$0.920057\pi$
$110$	4.20389	−	6.61238i	0.400825	−	0.630466i
$111$	−20.3264	+	3.14619i	−1.92930	+	0.298623i
$112$	−1.01580	−	1.01580i	−0.0959840	−	0.0959840i
$113$	13.1272	+	7.57898i	1.23490	+	0.712971i	0.968048	−	0.250767i	$-0.0806826\pi$
$113$	13.1272	+	7.57898i	1.23490	+	0.712971i	0.266854	+	0.963737i	$0.414016\pi$
$114$	−4.96905	−	8.60664i	−0.465394	−	0.806086i
$115$	0.420299	−	9.83697i	0.0391931	−	0.917303i
$116$	2.73899	−	10.2221i	0.254309	−	0.949095i
$117$		−	39.8596i		−	3.68502i
$118$	4.84063	+	1.29704i	0.445616	+	0.119402i
$119$	0.987348	−	0.987348i	0.0905100	−	0.0905100i
$120$	7.21328	+	2.26694i	0.658479	+	0.206943i
$121$	−1.27925			−0.116295
$122$	0.941530	−	0.941530i	0.0852422	−	0.0852422i
$123$	3.43515	+	12.8202i	0.309737	+	1.15595i
$124$	5.00254	+	1.34043i	0.449241	+	0.120374i
$125$	1.42830	−	11.0887i	0.127751	−	0.991806i
$126$	−3.13586	−	11.7032i	−0.279365	−	1.04260i
$127$	2.57326	−	0.689503i	0.228340	−	0.0611835i	−0.142835	−	0.989747i	$-0.545622\pi$
$127$	2.57326	−	0.689503i	0.228340	−	0.0611835i	0.371175	+	0.928563i	$0.378955\pi$
$128$	0.500000	−	0.866025i	0.0441942	−	0.0765466i
$129$	1.79884	−	6.71335i	0.158379	−	0.591077i
$130$	−0.451109	+	10.5581i	−0.0395648	+	0.926003i
$131$	−4.93208	−	18.4068i	−0.430918	−	1.60821i	−0.750651	−	0.660699i	$-0.770260\pi$
$131$	−4.93208	−	18.4068i	−0.430918	−	1.60821i	0.319733	−	0.947508i	$-0.396407\pi$
$132$	−3.06678	−	11.4454i	−0.266929	−	0.996193i
$133$	2.11104	−	3.65642i	0.183050	−	0.317052i
$134$	1.40180	−	1.40180i	0.121097	−	0.121097i
$135$	27.7867	+	30.2671i	2.39150	+	2.60498i
$136$	0.841769	+	0.485996i	0.0721811	+	0.0416738i
$137$	3.56459	+	3.56459i	0.304544	+	0.304544i	0.842789	−	0.538245i	$-0.180912\pi$
$137$	3.56459	+	3.56459i	0.304544	+	0.304544i	−0.538245	+	0.842789i	$0.680912\pi$
$138$	−10.5283	−	10.5283i	−0.896228	−	0.896228i
$139$	−6.31257	+	10.9337i	−0.535425	+	0.927383i	0.463718	+	0.885983i	$0.346515\pi$
$139$	−6.31257	+	10.9337i	−0.535425	+	0.927383i	−0.999143	+	0.0414002i	$0.986818\pi$
$140$	0.698181	+	3.13545i	0.0590070	+	0.264994i
$141$	−29.8050	+	17.2080i	−2.51004	+	1.44917i
$142$	−7.67435			−0.644017
$143$	14.3421	−	8.28039i	1.19934	−	0.692441i
$144$	7.30413	−	4.21704i	0.608677	−	0.351420i
$145$	−17.4317	+	16.0031i	−1.44762	+	1.32899i
$146$	−11.8799	+	3.18320i	−0.983185	+	0.263444i
$147$	−11.8029	+	11.8029i	−0.973484	+	0.973484i
$148$	3.59263	−	4.90846i	0.295313	−	0.403473i
$149$			3.54527i			0.290440i	0.989399	+	0.145220i	$0.0463890\pi$
$149$			3.54527i			0.290440i	−0.989399	+	0.145220i	$0.953611\pi$
$150$	−10.8919	−	12.9313i	−0.889316	−	1.05584i
$151$	−2.07856	+	1.20006i	−0.169151	+	0.0976591i	−0.582185	−	0.813056i	$-0.697802\pi$
$151$	−2.07856	+	1.20006i	−0.169151	+	0.0976591i	0.413035	+	0.910715i	$0.364469\pi$
$152$	2.83888	+	0.760674i	0.230263	+	0.0616988i
$153$	4.09892	+	7.09955i	0.331378	+	0.573964i
$154$	3.55954	−	3.55954i	0.286836	−	0.286836i
$155$	−7.83171	−	8.53082i	−0.629058	−	0.685212i
$156$	11.3001	+	11.3001i	0.904729	+	0.904729i
$157$	−16.9559	+	4.54333i	−1.35323	+	0.362597i	−0.861326	−	0.508053i	$-0.830365\pi$
$157$	−16.9559	+	4.54333i	−1.35323	+	0.362597i	−0.491904	+	0.870650i	$0.663699\pi$
$158$	−1.72415	+	1.72415i	−0.137166	+	0.137166i
$159$	4.48543			0.355718
$160$	−1.98245	+	1.03435i	−0.156727	+	0.0817726i
$161$	1.63716	−	6.10997i	0.129026	−	0.481533i
$162$	36.8314			2.89375
$163$	1.35726	+	0.783615i	0.106309	+	0.0613775i	0.552212	−	0.833704i	$-0.313784\pi$
$163$	1.35726	+	0.783615i	0.106309	+	0.0613775i	−0.445903	+	0.895081i	$0.647117\pi$
$164$	−3.39922	−	1.96254i	−0.265435	−	0.153249i
$165$	−7.94377	+	25.2766i	−0.618421	+	1.96778i
$166$	3.38863	+	0.907980i	0.263008	+	0.0704729i
$167$	13.1746	−	7.60634i	1.01948	−	0.588596i	0.105525	−	0.994417i	$-0.466348\pi$
$167$	13.1746	−	7.60634i	1.01948	−	0.588596i	0.913953	+	0.405821i	$0.133014\pi$
$168$	4.20682	+	2.42881i	0.324563	+	0.187387i
$169$	−4.66761	+	8.08453i	−0.359047	+	0.621887i
$170$	−1.00538	−	1.92693i	−0.0771091	−	0.147789i
$171$	17.5277	+	17.5277i	1.34038	+	1.34038i
$172$	1.02770	+	1.78002i	0.0783611	+	0.135725i
$173$	20.4514	−	5.47994i	1.55489	−	0.416632i	0.623850	−	0.781544i	$-0.285568\pi$
$173$	20.4514	−	5.47994i	1.55489	−	0.416632i	0.931042	+	0.364912i	$0.118901\pi$
$174$			35.7845i			2.71282i
$175$	2.44406	−	6.75418i	0.184754	−	0.510568i
$176$	3.03471	+	1.75209i	0.228750	+	0.132069i
$177$	−16.9457			−1.27371
$178$	2.18884	−	8.16888i	0.164061	−	0.612283i
$179$	−0.921605	−	0.921605i	−0.0688840	−	0.0688840i	0.671825	−	0.740709i	$-0.265510\pi$
$179$	−0.921605	−	0.921605i	−0.0688840	−	0.0688840i	−0.740709	+	0.671825i	$0.765510\pi$
$180$	−18.8420	−	0.805051i	−1.40440	−	0.0600050i
$181$	−2.29210	−	3.97004i	−0.170371	−	0.295091i	0.768179	−	0.640235i	$-0.221163\pi$
$181$	−2.29210	−	3.97004i	−0.170371	−	0.295091i	−0.938549	+	0.345145i	$0.887830\pi$
$182$	−1.75717	+	6.55785i	−0.130250	+	0.486100i
$183$	−2.25123	+	3.89925i	−0.166416	+	0.288241i
$184$	4.40324			0.324611
$185$	−12.6679	+	4.95226i	−0.931361	+	0.364098i
$186$	−17.5125			−1.28408
$187$	−1.70301	+	2.94971i	−0.124537	+	0.215704i
$188$	2.63424	−	9.83111i	0.192121	−	0.717007i
$189$	13.1983	+	22.8602i	0.960038	+	1.66283i
$190$	−4.44439	−	4.84113i	−0.322430	−	0.351213i
$191$	−1.47776	−	1.47776i	−0.106927	−	0.106927i	0.651619	−	0.758546i	$-0.274090\pi$
$191$	−1.47776	−	1.47776i	−0.106927	−	0.106927i	−0.758546	+	0.651619i	$0.774090\pi$
$192$	−0.875179	+	3.26621i	−0.0631606	+	0.235719i
$193$	−9.35362			−0.673288			−0.336644	−	0.941632i	$-0.609292\pi$
$193$	−9.35362			−0.673288			−0.336644	+	0.941632i	$0.609292\pi$
$194$	3.48465	+	2.01186i	0.250183	+	0.144443i
$195$	−7.76677	−	34.8797i	−0.556190	−	2.49778i
$196$		−	4.93630i		−	0.352593i
$197$	8.55452	−	2.29218i	0.609484	−	0.163311i	0.0591415	−	0.998250i	$-0.481164\pi$
$197$	8.55452	−	2.29218i	0.609484	−	0.163311i	0.550343	+	0.834939i	$0.314497\pi$
$198$	14.7772	+	25.5949i	1.05017	+	1.81895i
$199$	11.6194	+	11.6194i	0.823677	+	0.823677i	0.986633	−	0.162956i	$-0.0521029\pi$
$199$	11.6194	+	11.6194i	0.823677	+	0.823677i	−0.162956	+	0.986633i	$0.552103\pi$
$200$	4.98178	+	0.426486i	0.352265	+	0.0301571i
$201$	−3.35176	+	5.80542i	−0.236415	+	0.409483i
$202$	3.47312	+	2.00521i	0.244368	+	0.141086i
$203$	−13.1658	+	7.60130i	−0.924061	+	0.533507i
$204$	−3.17473	−	0.850666i	−0.222276	−	0.0595585i
$205$	4.05991	+	7.78129i	0.283557	+	0.543469i
$206$	9.21480	+	5.32017i	0.642026	+	0.370674i
$207$	32.1618	+	18.5686i	2.23540	+	1.29061i
$208$	−4.72601			−0.327690
$209$	−2.66554	+	9.94792i	−0.184379	+	0.688112i
$210$	−5.02448	−	9.63000i	−0.346722	−	0.664533i
$211$	−3.02550			−0.208284			−0.104142	−	0.994562i	$-0.533210\pi$
$211$	−3.02550			−0.208284			−0.104142	+	0.994562i	$0.533210\pi$
$212$	−0.937969	+	0.937969i	−0.0644200	+	0.0644200i
$213$	25.0660	−	6.71642i	1.71750	−	0.460202i
$214$	−8.23188	−	8.23188i	−0.562720	−	0.562720i
$215$	0.196192	−	4.59181i	0.0133802	−	0.313159i
$216$	−12.9931	+	12.9931i	−0.884066	+	0.884066i
$217$	−3.71997	−	6.44318i	−0.252528	−	0.437391i
$218$	−0.214793	−	0.0575535i	−0.0145476	−	0.00389802i
$219$	36.0163	−	20.7940i	2.43376	−	1.40513i
$220$	−3.62455	−	6.94686i	−0.244367	−	0.468357i
$221$		−	4.59364i		−	0.309002i
$222$	−7.43852	+	19.1763i	−0.499241	+	1.28703i
$223$	12.3697	−	12.3697i	0.828335	−	0.828335i	−0.158951	−	0.987286i	$-0.550811\pi$
$223$	12.3697	−	12.3697i	0.828335	−	0.828335i	0.987286	+	0.158951i	$0.0508113\pi$
$224$	−1.38761	+	0.371808i	−0.0927134	+	0.0248425i
$225$	34.5890	+	24.1235i	2.30593	+	1.60823i
$226$	13.1272	−	7.57898i	0.873207	−	0.504146i
$227$	−16.0391	+	9.26019i	−1.06455	+	0.614621i	−0.926688	−	0.375830i	$-0.877358\pi$
$227$	−16.0391	+	9.26019i	−1.06455	+	0.614621i	−0.137866	+	0.990451i	$0.544024\pi$
$228$	−9.93810			−0.658166
$229$	−3.04556	+	1.75836i	−0.201257	+	0.116196i	−0.597241	−	0.802061i	$-0.703737\pi$
$229$	−3.04556	+	1.75836i	−0.201257	+	0.116196i	0.395985	+	0.918257i	$0.370403\pi$
$230$	−8.30892	−	5.28248i	−0.547874	−	0.348316i
$231$	−8.51098	+	14.7414i	−0.559981	+	0.969916i
$232$	−7.48307	−	7.48307i	−0.491288	−	0.491288i
$233$	−10.4880	−	10.4880i	−0.687091	−	0.687091i	0.274497	−	0.961588i	$-0.411489\pi$
$233$	−10.4880	−	10.4880i	−0.687091	−	0.687091i	−0.961588	+	0.274497i	$0.911489\pi$
$234$	−34.5194	−	19.9298i	−2.25660	−	1.30285i
$235$	−16.7650	+	15.3911i	−1.09363	+	1.00400i
$236$	3.54359	−	3.54359i	0.230668	−	0.230668i
$237$	4.12250	−	7.14038i	0.267785	−	0.463818i
$238$	−0.361394	−	1.34874i	−0.0234257	−	0.0874260i
$239$	−5.10887	−	19.0666i	−0.330466	−	1.23331i	−0.908702	−	0.417445i	$-0.862926\pi$
$239$	−5.10887	−	19.0666i	−0.330466	−	1.23331i	0.578236	−	0.815869i	$-0.303741\pi$
$240$	5.56987	−	5.11341i	0.359533	−	0.330069i
$241$	1.10073	−	4.10799i	0.0709044	−	0.264619i	−0.921369	−	0.388689i	$-0.872928\pi$
$241$	1.10073	−	4.10799i	0.0709044	−	0.264619i	0.992273	+	0.124070i	$0.0395948\pi$
$242$	−0.639625	+	1.10786i	−0.0411166	+	0.0712161i
$243$	−67.0527	+	17.9667i	−4.30143	+	1.15257i
$244$	−0.344624	−	1.28615i	−0.0220623	−	0.0823376i
$245$	−5.92198	+	9.31481i	−0.378341	+	0.595101i
$246$	12.8202	+	3.43515i	0.817383	+	0.219017i
$247$	−3.59496	−	13.4166i	−0.228742	−	0.853676i
$248$	3.66211	−	3.66211i	0.232544	−	0.232544i
$249$	−11.8626			−0.751763
$250$	−8.88897	−	6.78131i	−0.562188	−	0.428888i
$251$	17.5003	−	17.5003i	1.10461	−	1.10461i	0.110764	−	0.993847i	$-0.464670\pi$
$251$	17.5003	−	17.5003i	1.10461	−	1.10461i	0.993847	−	0.110764i	$-0.0353297\pi$
$252$	−11.7032	−	3.13586i	−0.737232	−	0.197541i
$253$			15.4297i			0.970059i
$254$	0.689503	−	2.57326i	0.0432633	−	0.161461i
$255$	4.97019	+	5.41386i	0.311245	+	0.339029i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	11.0066	+	6.35464i	0.686570	+	0.396391i	0.802326	−	0.596886i	$-0.203596\pi$
$257$	11.0066	+	6.35464i	0.686570	+	0.396391i	−0.115756	+	0.993278i	$0.536929\pi$
$258$	−4.91451	−	4.91451i	−0.305964	−	0.305964i
$259$	−8.63541	+	1.33662i	−0.536578	+	0.0830534i
$260$	8.91799	+	5.66970i	0.553070	+	0.351620i
$261$	−23.1009	−	86.2137i	−1.42991	−	5.33649i
$262$	−18.4068	−	4.93208i	−1.13717	−	0.304705i
$263$	−7.10198	+	26.5050i	−0.437927	+	1.63437i	0.296036	+	0.955177i	$0.404335\pi$
$263$	−7.10198	+	26.5050i	−0.437927	+	1.63437i	−0.733963	+	0.679189i	$0.762332\pi$
$264$	−11.4454	−	3.06678i	−0.704414	−	0.188747i
$265$	2.89521	−	0.644686i	0.177851	−	0.0396028i
$266$	−2.11104	−	3.65642i	−0.129436	−	0.224190i
$267$			28.5969i			1.75010i
$268$	−0.513096	−	1.91490i	−0.0313423	−	0.116971i
$269$		−	28.3433i		−	1.72812i	−0.503388	−	0.864061i	$-0.667913\pi$
$269$		−	28.3433i		−	1.72812i	0.503388	−	0.864061i	$-0.332087\pi$
$270$	40.1054	−	8.93041i	2.44074	−	0.543487i
$271$	−8.06381	+	13.9669i	−0.489842	+	0.848431i	−0.999932	−	0.0116905i	$-0.996279\pi$
$271$	−8.06381	+	13.9669i	−0.489842	+	0.848431i	0.510090	+	0.860121i	$0.329612\pi$
$272$	0.841769	−	0.485996i	0.0510397	−	0.0294678i
$273$		−	22.9572i		−	1.38943i
$274$	4.86932	−	1.30473i	0.294167	−	0.0788217i
$275$	−1.49448	+	17.4570i	−0.0901207	+	1.05270i
$276$	−14.3819	+	3.85362i	−0.865690	+	0.231961i
$277$	−4.75297	−	8.23239i	−0.285579	−	0.494637i	0.687171	−	0.726496i	$-0.258852\pi$
$277$	−4.75297	−	8.23239i	−0.285579	−	0.494637i	−0.972749	+	0.231859i	$0.925519\pi$
$278$	6.31257	+	10.9337i	0.378603	+	0.655759i
$279$	42.1918	−	11.3053i	2.52596	−	0.676828i
$280$	3.06447	+	0.963081i	0.183137	+	0.0575551i
$281$	15.8741	−	4.25345i	0.946968	−	0.253739i	0.247893	−	0.968787i	$-0.420262\pi$
$281$	15.8741	−	4.25345i	0.946968	−	0.253739i	0.699075	+	0.715048i	$0.253595\pi$
$282$			34.4159i			2.04944i
$283$	5.46001	−	3.15234i	0.324564	−	0.187387i	−0.328861	−	0.944378i	$-0.606665\pi$
$283$	5.46001	−	3.15234i	0.324564	−	0.187387i	0.653425	+	0.756991i	$0.273332\pi$
$284$	−3.83717	+	6.64618i	−0.227694	+	0.394378i
$285$	18.7532	+	11.9225i	1.11084	+	0.706229i
$286$		−	16.5608i		−	0.979260i
$287$	1.45938	+	5.44648i	0.0861444	+	0.321495i
$288$		−	8.43408i		−	0.496983i
$289$	−8.02762	−	13.9042i	−0.472213	−	0.817896i
$290$	5.14328	+	23.0978i	0.302024	+	1.35635i
$291$	−13.1423	−	3.52148i	−0.770417	−	0.206433i
$292$	−3.18320	+	11.8799i	−0.186283	+	0.695217i
$293$	0.387665	+	0.103875i	0.0226476	+	0.00606841i	0.270125	−	0.962825i	$-0.412935\pi$
$293$	0.387665	+	0.103875i	0.0226476	+	0.00606841i	−0.247477	+	0.968894i	$0.579602\pi$
$294$	4.32015	+	16.1230i	0.251956	+	0.940313i
$295$	−10.9379	+	2.43558i	−0.636830	+	0.141805i
$296$	−2.45454	−	5.56554i	−0.142667	−	0.323491i
$297$	−45.5300	−	45.5300i	−2.64192	−	2.64192i
$298$	3.07030	+	1.77264i	0.177857	+	0.102686i
$299$	−10.4049	−	18.0218i	−0.601731	−	1.04223i
$300$	−16.6448	+	2.96695i	−0.960988	+	0.171297i
$301$	0.764212	−	2.85208i	0.0440485	−	0.164391i
$302$			2.40011i			0.138111i
$303$	−13.0989	−	3.50983i	−0.752511	−	0.201635i
$304$	2.07820	−	2.07820i	0.119193	−	0.119193i
$305$	−0.892667	+	2.84041i	−0.0511139	+	0.162642i
$306$	8.19785			0.468640
$307$	20.6896	−	20.6896i	1.18082	−	1.18082i	0.201285	−	0.979533i	$-0.435488\pi$
$307$	20.6896	−	20.6896i	1.18082	−	1.18082i	0.979533	−	0.201285i	$-0.0645118\pi$
$308$	−1.30288	−	4.86242i	−0.0742386	−	0.277062i
$309$	−34.7536	−	9.31220i	−1.97706	−	0.529752i
$310$	−11.3038	+	2.51705i	−0.642011	+	0.142959i
$311$	−2.04408	−	7.62862i	−0.115909	−	0.432579i	0.883444	−	0.468537i	$-0.155219\pi$
$311$	−2.04408	−	7.62862i	−0.115909	−	0.432579i	−0.999353	+	0.0359575i	$0.988552\pi$
$312$	15.4362	−	4.13611i	0.873901	−	0.234161i
$313$	−14.1499	+	24.5084i	−0.799802	+	1.38530i	0.119943	+	0.992781i	$0.461729\pi$
$313$	−14.1499	+	24.5084i	−0.799802	+	1.38530i	−0.919745	+	0.392517i	$0.871605\pi$
$314$	−4.54333	+	16.9559i	−0.256395	+	0.956878i
$315$	18.3219	+	19.9574i	1.03232	+	1.12447i
$316$	0.631083	+	2.35523i	0.0355012	+	0.132492i
$317$	0.506204	+	1.88918i	0.0284312	+	0.106107i	0.978683	−	0.205375i	$-0.0658414\pi$
$317$	0.506204	+	1.88918i	0.0284312	+	0.106107i	−0.950252	+	0.311482i	$0.899175\pi$
$318$	2.24272	−	3.88450i	0.125765	−	0.217832i
$319$	26.2220	−	26.2220i	1.46815	−	1.46815i
$320$	−0.0954522	+	2.23403i	−0.00533594	+	0.124886i
$321$	34.0914	+	19.6827i	1.90280	+	1.09858i
$322$	−4.47281	−	4.47281i	−0.249260	−	0.249260i
$323$	2.01999	+	2.01999i	0.112395	+	0.112395i
$324$	18.4157	−	31.8970i	1.02310	−	1.77205i
$325$	−10.0264	−	21.3975i	−0.556166	−	1.18692i
$326$	1.35726	−	0.783615i	0.0751717	−	0.0434004i
$327$	0.751928			0.0415817
$328$	−3.39922	+	1.96254i	−0.187691	+	0.108363i
$329$	−12.6623	+	7.31058i	−0.698095	+	0.403045i
$330$	17.9183	+	19.5178i	0.986369	+	1.07442i
$331$	6.03742	−	1.61772i	0.331846	−	0.0889180i	−0.0890487	−	0.996027i	$-0.528383\pi$
$331$	6.03742	−	1.61772i	0.331846	−	0.0889180i	0.420895	+	0.907109i	$0.361716\pi$
$332$	2.48065	−	2.48065i	0.136143	−	0.136143i
$333$	5.54187	−	51.0023i	0.303693	−	2.79491i
$334$		−	15.2127i		−	0.832400i
$335$	−1.32905	+	4.22897i	−0.0726139	+	0.231053i
$336$	4.20682	−	2.42881i	0.229501	−	0.132502i
$337$	15.8708	+	4.25257i	0.864537	+	0.231652i	0.663724	−	0.747977i	$-0.268975\pi$
$337$	15.8708	+	4.25257i	0.864537	+	0.231652i	0.200813	+	0.979630i	$0.435642\pi$
$338$	4.66761	+	8.08453i	0.253884	+	0.439741i
$339$	−36.2432	+	36.2432i	−1.96846	+	1.96846i
$340$	−2.17146	−	0.0927787i	−0.117764	−	0.00503163i
$341$	12.8327	+	12.8327i	0.694929	+	0.694929i
$342$	23.9433	−	6.41559i	1.29471	−	0.346915i
$343$	−12.1249	+	12.1249i	−0.654682	+	0.654682i
$344$	2.05539			0.110819
$345$	31.7618	+	9.98190i	1.71000	+	0.537407i
$346$	5.47994	−	20.4514i	0.294603	−	1.09947i
$347$	−34.0867			−1.82987			−0.914934	−	0.403603i	$-0.867758\pi$
$347$	−34.0867			−1.82987			−0.914934	+	0.403603i	$0.867758\pi$
$348$	30.9903	+	17.8923i	1.66126	+	0.959127i
$349$	10.0882	+	5.82443i	0.540009	+	0.311774i	0.745083	−	0.666972i	$-0.232410\pi$
$349$	10.0882	+	5.82443i	0.540009	+	0.311774i	−0.205073	+	0.978747i	$0.565743\pi$
$350$	−4.62726	−	5.49371i	−0.247338	−	0.293651i
$351$	83.8813	+	22.4759i	4.47725	+	1.19968i
$352$	3.03471	−	1.75209i	0.161750	−	0.0933866i
$353$	−5.24895	−	3.03048i	−0.279373	−	0.161296i	0.353766	−	0.935334i	$-0.384901\pi$
$353$	−5.24895	−	3.03048i	−0.279373	−	0.161296i	−0.633140	+	0.774038i	$0.718234\pi$
$354$	−8.47283	+	14.6754i	−0.450326	+	0.779987i
$355$	15.2140	−	7.93797i	0.807477	−	0.421303i
$356$	−5.98003	−	5.98003i	−0.316941	−	0.316941i
$357$	2.36078	+	4.08899i	0.124946	+	0.216412i
$358$	−1.25894	+	0.337331i	−0.0665368	+	0.0178285i
$359$		−	31.9848i		−	1.68809i	−0.536269	−	0.844047i	$-0.680167\pi$
$359$		−	31.9848i		−	1.68809i	0.536269	−	0.844047i	$-0.319833\pi$
$360$	−10.1182	+	15.9151i	−0.533275	+	0.838800i
$361$	−8.97389	−	5.18108i	−0.472310	−	0.272688i
$362$	−4.58420			−0.240940
$363$	1.11957	−	4.17830i	0.0587623	−	0.219304i
$364$	4.80068	+	4.80068i	0.251624	+	0.251624i
$365$	20.2587	−	18.5985i	1.06039	−	0.973490i
$366$	2.25123	+	3.89925i	0.117674	+	0.203817i
$367$	−3.40191	+	12.6961i	−0.177578	+	0.662732i	0.818520	+	0.574479i	$0.194795\pi$
$367$	−3.40191	+	12.6961i	−0.177578	+	0.662732i	−0.996098	+	0.0882533i	$0.971872\pi$
$368$	2.20162	−	3.81332i	0.114767	−	0.198783i
$369$	−33.1045			−1.72335
$370$	−2.04515	+	13.4468i	−0.106322	+	0.699068i
$371$	1.90558			0.0989326
$372$	−8.75623	+	15.1662i	−0.453989	+	0.786333i
$373$	5.94197	−	22.1757i	0.307664	−	1.14822i	−0.622964	−	0.782250i	$-0.714072\pi$
$373$	5.94197	−	22.1757i	0.307664	−	1.14822i	0.930628	−	0.365966i	$-0.119261\pi$
$374$	1.70301	+	2.94971i	0.0880608	+	0.152526i
$375$	34.9681	+	14.3698i	1.80575	+	0.742052i
$376$	−7.19687	−	7.19687i	−0.371150	−	0.371150i
$377$	−12.9445	+	48.3096i	−0.666677	+	2.48807i
$378$	26.3967			1.35770
$379$	−9.34232	−	5.39379i	−0.479883	−	0.277061i	0.240485	−	0.970653i	$-0.422694\pi$
$379$	−9.34232	−	5.39379i	−0.479883	−	0.277061i	−0.720368	+	0.693592i	$0.756027\pi$
$380$	−6.41474	+	1.42839i	−0.329069	+	0.0732750i
$381$			9.00825i			0.461507i
$382$	−2.01865	+	0.540896i	−0.103283	+	0.0276746i
$383$	14.5452	+	25.1931i	0.743227	+	1.28731i	0.951019	+	0.309134i	$0.100039\pi$
$383$	14.5452	+	25.1931i	0.743227	+	1.28731i	−0.207792	+	0.978173i	$0.566628\pi$
$384$	2.39103	+	2.39103i	0.122017	+	0.122017i
$385$	−3.37481	+	10.7384i	−0.171996	+	0.547281i
$386$	−4.67681	+	8.10047i	−0.238043	+	0.412303i
$387$	15.0129	+	8.66767i	0.763146	+	0.440603i
$388$	3.48465	−	2.01186i	0.176906	−	0.102137i
$389$	17.3546	+	4.65014i	0.879911	+	0.235771i	0.670369	−	0.742028i	$-0.266136\pi$
$389$	17.3546	+	4.65014i	0.879911	+	0.235771i	0.209542	+	0.977800i	$0.432803\pi$
$390$	−34.0901	−	10.7136i	−1.72622	−	0.542504i
$391$	3.70651	+	2.13996i	0.187446	+	0.108222i
$392$	−4.27496	−	2.46815i	−0.215918	−	0.124660i
$393$	64.4369			3.25041
$394$	2.29218	−	8.55452i	0.115478	−	0.430971i
$395$	1.63467	−	5.20143i	0.0822492	−	0.261712i
$396$	29.5545			1.48517
$397$	15.8249	−	15.8249i	0.794231	−	0.794231i	−0.187948	−	0.982179i	$-0.560184\pi$
$397$	15.8249	−	15.8249i	0.794231	−	0.794231i	0.982179	+	0.187948i	$0.0601837\pi$
$398$	15.8724	−	4.25300i	0.795611	−	0.213183i
$399$	10.0951	+	10.0951i	0.505388	+	0.505388i
$400$	2.86024	−	4.10110i	0.143012	−	0.205055i
$401$	−7.74231	+	7.74231i	−0.386632	+	0.386632i	−0.873484	−	0.486852i	$-0.838145\pi$
$401$	−7.74231	+	7.74231i	−0.386632	+	0.386632i	0.486852	+	0.873484i	$0.338145\pi$
$402$	3.35176	+	5.80542i	0.167171	+	0.289548i
$403$	−23.6421	−	6.33487i	−1.17770	−	0.315563i
$404$	3.47312	−	2.00521i	0.172794	−	0.0997629i
$405$	−73.0166	+	38.0966i	−3.62822	+	1.89304i
$406$			15.2026i			0.754492i
$407$	19.5026	−	8.60112i	0.966710	−	0.426342i
$408$	−2.32406	+	2.32406i	−0.115058	+	0.115058i
$409$	36.7385	−	9.84406i	1.81660	−	0.486757i	0.820244	−	0.572013i	$-0.193837\pi$
$409$	36.7385	−	9.84406i	1.81660	−	0.486757i	0.996359	+	0.0852560i	$0.0271708\pi$
$410$	8.76875	+	0.374658i	0.433058	+	0.0185030i
$411$	−14.7624	+	8.52306i	−0.728174	+	0.420411i
$412$	9.21480	−	5.32017i	0.453981	−	0.262106i
$413$	−7.19914			−0.354247
$414$	32.1618	−	18.5686i	1.58067	−	0.912599i
$415$	−7.65696	+	1.70500i	−0.375865	+	0.0836952i
$416$	−2.36301	+	4.09285i	−0.115856	+	0.200668i
$417$	−30.1871	−	30.1871i	−1.47827	−	1.47827i
$418$	7.28238	+	7.28238i	0.356193	+	0.356193i
$419$	17.6534	+	10.1922i	0.862425	+	0.497921i	0.864824	−	0.502076i	$-0.167430\pi$
$419$	17.6534	+	10.1922i	0.862425	+	0.497921i	−0.00239880	+	0.999997i	$0.500764\pi$
$420$	−10.8521	−	0.463671i	−0.529527	−	0.0226248i
$421$	−1.29404	+	1.29404i	−0.0630678	+	0.0630678i	−0.737937	−	0.674869i	$-0.764200\pi$
$421$	−1.29404	+	1.29404i	−0.0630678	+	0.0630678i	0.674869	+	0.737937i	$0.264200\pi$
$422$	−1.51275	+	2.62016i	−0.0736396	+	0.127548i
$423$	−22.2174	−	82.9163i	−1.08024	−	4.03153i
$424$	0.343321	+	1.28129i	0.0166731	+	0.0622249i
$425$	3.98624	+	2.78012i	0.193361	+	0.134856i
$426$	6.71642	−	25.0660i	0.325412	−	1.21445i
$427$	−0.956406	+	1.65654i	−0.0462837	+	0.0801658i
$428$	−11.2450	+	3.01308i	−0.543546	+	0.145643i
$429$	14.4936	+	54.0910i	0.699760	+	2.61154i
$430$	−3.87853	−	2.46581i	−0.187039	−	0.118912i
$431$	−11.0058	−	2.94898i	−0.530129	−	0.142048i	−0.0161811	−	0.999869i	$-0.505151\pi$
$431$	−11.0058	−	2.94898i	−0.530129	−	0.142048i	−0.513948	+	0.857821i	$0.671817\pi$
$432$	4.75579	+	17.7488i	0.228813	+	0.853942i
$433$	−21.0723	+	21.0723i	−1.01267	+	1.01267i	−0.0127495	+	0.999919i	$0.504058\pi$
$433$	−21.0723	+	21.0723i	−1.01267	+	1.01267i	−0.999919	+	0.0127495i	$0.995942\pi$
$434$	−7.43994			−0.357129
$435$	−37.0138	−	70.9412i	−1.77467	−	3.40137i
$436$	−0.157239	+	0.157239i	−0.00753039	+	0.00753039i
$437$	12.5003	+	3.34943i	0.597968	+	0.160225i
$438$		−	41.5880i		−	1.98715i
$439$	0.403179	−	1.50468i	0.0192427	−	0.0718146i	−0.955637	−	0.294547i	$-0.904831\pi$
$439$	0.403179	−	1.50468i	0.0192427	−	0.0718146i	0.974880	+	0.222733i	$0.0714978\pi$
$440$	−7.82843	−	0.334481i	−0.373206	−	0.0159458i
$441$	−20.8166	−	36.0554i	−0.991266	−	1.71692i
$442$	−3.97821	−	2.29682i	−0.189224	−	0.109249i
$443$	1.05231	+	1.05231i	0.0499967	+	0.0499967i	0.731663	−	0.681666i	$-0.238744\pi$
$443$	1.05231	+	1.05231i	0.0499967	+	0.0499967i	−0.681666	+	0.731663i	$0.738744\pi$
$444$	12.8879	+	16.0301i	0.611632	+	0.760754i
$445$	4.11021	+	18.4584i	0.194842	+	0.875014i
$446$	−4.52762	−	16.8973i	−0.214389	−	0.800110i
$447$	−11.5796	−	3.10275i	−0.547697	−	0.146755i
$448$	−0.371808	+	1.38761i	−0.0175663	+	0.0655583i
$449$	−5.25870	−	1.40906i	−0.248173	−	0.0664979i	0.132588	−	0.991171i	$-0.457671\pi$
$449$	−5.25870	−	1.40906i	−0.248173	−	0.0664979i	−0.380761	+	0.924673i	$0.624338\pi$
$450$	38.1860	−	17.8932i	1.80011	−	0.843495i
$451$	−6.87709	−	11.9115i	−0.323830	−	0.560889i
$452$		−	15.1580i		−	0.712971i
$453$	−2.10053	−	7.83927i	−0.0986913	−	0.368321i
$454$			18.5204i			0.869205i
$455$	−3.29961	−	14.8182i	−0.154688	−	0.694686i
$456$	−4.96905	+	8.60664i	−0.232697	+	0.403043i
$457$	−7.53632	+	4.35110i	−0.352534	+	0.203536i	−0.665801	−	0.746129i	$-0.731910\pi$
$457$	−7.53632	+	4.35110i	−0.352534	+	0.203536i	0.313267	+	0.949665i	$0.398577\pi$
$458$			3.51672i			0.164325i
$459$	−17.2517	+	4.62259i	−0.805242	+	0.215764i
$460$	−8.72922	+	4.55450i	−0.407002	+	0.212355i
$461$	−2.50982	+	0.672506i	−0.116894	+	0.0313217i	−0.316792	−	0.948495i	$-0.602606\pi$
$461$	−2.50982	+	0.672506i	−0.116894	+	0.0313217i	0.199898	+	0.979817i	$0.435939\pi$
$462$	8.51098	+	14.7414i	0.395966	+	0.685834i
$463$	−10.4928	−	18.1740i	−0.487641	−	0.844618i	0.512258	−	0.858831i	$-0.328809\pi$
$463$	−10.4928	−	18.1740i	−0.487641	−	0.844618i	−0.999899	+	0.0142131i	$0.995476\pi$
$464$	−10.2221	+	2.73899i	−0.474548	+	0.127155i
$465$	34.7176	−	18.1140i	1.60999	−	0.840018i
$466$	−14.3269	+	3.83887i	−0.663679	+	0.177832i
$467$		−	18.2736i		−	0.845603i	−0.906222	−	0.422801i	$-0.861047\pi$
$467$		−	18.2736i		−	0.845603i	0.906222	−	0.422801i	$-0.138953\pi$
$468$	−34.5194	+	19.9298i	−1.59566	+	0.921255i
$469$	−1.42395	+	2.46636i	−0.0657520	+	0.113886i
$470$	4.94656	+	22.2144i	0.228168	+	1.02468i
$471$		−	59.3578i		−	2.73507i
$472$	−1.29704	−	4.84063i	−0.0597012	−	0.222808i
$473$			7.20246i			0.331169i
$474$	−4.12250	−	7.14038i	−0.189353	−	0.327969i
$475$	13.8182	+	5.00025i	0.634024	+	0.229427i
$476$	−1.34874	−	0.361394i	−0.0618195	−	0.0165645i
$477$	−2.89559	+	10.8065i	−0.132580	+	0.494796i
$478$	−19.0666	−	5.10887i	−0.872085	−	0.233674i
$479$	−2.37853	−	8.87679i	−0.108678	−	0.405591i	0.890059	−	0.455846i	$-0.150663\pi$
$479$	−2.37853	−	8.87679i	−0.108678	−	0.405591i	−0.998736	+	0.0502551i	$0.983997\pi$
$480$	−1.64341	−	7.38035i	−0.0750110	−	0.336865i
$481$	−16.9788	+	23.1975i	−0.774168	+	1.05771i
$482$	−3.00726	−	3.00726i	−0.136977	−	0.136977i
$483$	18.5237	+	10.6946i	0.842856	+	0.486623i
$484$	0.639625	+	1.10786i	0.0290738	+	0.0503574i
$485$	−8.98912	−	0.384073i	−0.408175	−	0.0174399i
$486$	−17.9667	+	67.0527i	−0.814987	+	3.04157i
$487$			29.0662i			1.31711i	0.752531	+	0.658557i	$0.228833\pi$
$487$			29.0662i			1.31711i	−0.752531	+	0.658557i	$0.771167\pi$
$488$	−1.28615	−	0.344624i	−0.0582215	−	0.0156004i
$489$	−3.74730	+	3.74730i	−0.169459	+	0.169459i
$490$	5.10587	+	9.78599i	0.230660	+	0.442086i
$491$	13.6903			0.617836			0.308918	−	0.951089i	$-0.400033\pi$
$491$	13.6903			0.617836			0.308918	+	0.951089i	$0.400033\pi$
$492$	9.38501	−	9.38501i	0.423109	−	0.423109i
$493$	−2.66228	−	9.93576i	−0.119903	−	0.447484i
$494$	−13.4166	−	3.59496i	−0.603640	−	0.161745i
$495$	−55.7693	−	35.4559i	−2.50665	−	1.59362i
$496$	−1.34043	−	5.00254i	−0.0601869	−	0.224621i
$497$	10.6490	−	2.85339i	0.477672	−	0.127992i
$498$	−5.93131	+	10.2733i	−0.265788	+	0.460359i
$499$	−3.66772	+	13.6881i	−0.164190	+	0.612765i	0.833952	+	0.551836i	$0.186073\pi$
$499$	−3.66772	+	13.6881i	−0.164190	+	0.612765i	−0.998142	+	0.0609282i	$0.980594\pi$
$500$	−10.3173	+	4.30742i	−0.461403	+	0.192634i
$501$	13.3138	+	49.6878i	0.594817	+	2.21989i
$502$	−6.40556	−	23.9059i	−0.285894	−	1.06697i
$503$	−9.38391	+	16.2534i	−0.418408	+	0.724704i	−0.995780	−	0.0917777i	$-0.970745\pi$
$503$	−9.38391	+	16.2534i	−0.418408	+	0.724704i	0.577372	+	0.816482i	$0.304078\pi$
$504$	−8.56733	+	8.56733i	−0.381619	+	0.381619i
$505$	−8.95939	−	0.382803i	−0.398688	−	0.0170345i
$506$	13.3625	+	7.71487i	0.594038	+	0.342968i
$507$	−22.3208	−	22.3208i	−0.991302	−	0.991302i
$508$	−1.88376	−	1.88376i	−0.0835782	−	0.0835782i
$509$	−12.9359	+	22.4056i	−0.573372	+	0.993110i	0.422844	+	0.906202i	$0.361032\pi$
$509$	−12.9359	+	22.4056i	−0.573372	+	0.993110i	−0.996216	+	0.0869073i	$0.972302\pi$
$510$	7.17364	−	1.59738i	0.317654	−	0.0707331i
$511$	15.3011	−	8.83407i	0.676879	−	0.390796i
$512$	−1.00000			−0.0441942
$513$	−46.7692	+	27.0022i	−2.06491	+	1.19218i
$514$	11.0066	−	6.35464i	0.485478	−	0.280291i
$515$	−23.7708	−	1.01564i	−1.04747	−	0.0447546i
$516$	−6.71335	+	1.79884i	−0.295539	+	0.0791894i
$517$	25.2191	−	25.2191i	1.10913	−	1.10913i
$518$	−3.16016	+	8.14679i	−0.138849	+	0.357949i
$519$			71.5946i			3.14265i
$520$	9.36910	−	4.88836i	0.410862	−	0.214369i
$521$	−27.8533	+	16.0811i	−1.22027	+	0.704525i	−0.964976	−	0.262337i	$-0.915507\pi$
$521$	−27.8533	+	16.0811i	−1.22027	+	0.704525i	−0.255297	+	0.966863i	$0.582173\pi$
$522$	−86.2137	−	23.1009i	−3.77347	−	1.01110i
$523$	0.986968	+	1.70948i	0.0431571	+	0.0747503i	0.886797	−	0.462159i	$-0.152925\pi$
$523$	0.986968	+	1.70948i	0.0431571	+	0.0747503i	−0.843640	+	0.536909i	$0.819592\pi$
$524$	−13.4747	+	13.4747i	−0.588645	+	0.588645i
$525$	19.9216	+	13.8939i	0.869450	+	0.606381i
$526$	19.4030	+	19.4030i	0.846010	+	0.846010i
$527$	4.86242	−	1.30288i	0.211810	−	0.0567544i
$528$	−8.37860	+	8.37860i	−0.364632	+	0.364632i
$529$	−3.61146			−0.157020
$530$	0.889290	−	2.82967i	0.0386283	−	0.122913i
$531$	10.9394	−	40.8262i	0.474728	−	1.77171i
$532$	−4.22207			−0.183050
$533$	16.0648	+	9.27500i	0.695843	+	0.401745i
$534$	24.7657	+	14.2985i	1.07171	+	0.618755i
$535$	24.8340	+	7.80466i	1.07367	+	0.337425i
$536$	−1.91490	−	0.513096i	−0.0827111	−	0.0221624i
$537$	3.81673	−	2.20359i	0.164704	−	0.0950919i
$538$	−24.5460	−	14.1716i	−1.05825	−	0.610983i
$539$	8.64884	−	14.9802i	0.372532	−	0.645244i
$540$	12.3187	−	39.1975i	0.530114	−	1.68679i
$541$	18.3493	+	18.3493i	0.788896	+	0.788896i	0.981313	−	0.192417i	$-0.0616326\pi$
$541$	18.3493	+	18.3493i	0.788896	+	0.788896i	−0.192417	+	0.981313i	$0.561633\pi$
$542$	8.06381	+	13.9669i	0.346370	+	0.599931i
$543$	14.9730	−	4.01200i	0.642552	−	0.172171i
$544$		−	0.971991i		−	0.0416738i
$545$	0.485347	−	0.108074i	0.0207900	−	0.00462938i
$546$	−19.8815	−	11.4786i	−0.850850	−	0.491238i
$547$	25.4508			1.08820			0.544100	−	0.839021i	$-0.316871\pi$
$547$	25.4508			1.08820			0.544100	+	0.839021i	$0.316871\pi$
$548$	1.30473	−	4.86932i	0.0557354	−	0.208007i
$549$	−7.94094	−	7.94094i	−0.338911	−	0.338911i
$550$	14.3710	+	10.0228i	0.612781	+	0.427372i
$551$	−15.5513	−	26.9357i	−0.662509	−	1.14750i
$552$	−3.85362	+	14.3819i	−0.164021	+	0.612135i
$553$	1.75139	−	3.03350i	0.0744768	−	0.128998i
$554$	−9.50595			−0.403869
$555$	−5.08848	−	45.7101i	−0.215994	−	1.94028i
$556$	12.6251			0.535425
$557$	−3.24385	+	5.61851i	−0.137446	+	0.238064i	−0.926529	−	0.376223i	$-0.877223\pi$
$557$	−3.24385	+	5.61851i	−0.137446	+	0.238064i	0.789083	+	0.614287i	$0.210556\pi$
$558$	11.3053	−	42.1918i	0.478590	−	1.78612i
$559$	−4.85691	−	8.41241i	−0.205425	−	0.355807i
$560$	2.36629	−	2.17237i	0.0999938	−	0.0917992i
$561$	−8.14393	−	8.14393i	−0.343837	−	0.343837i
$562$	4.25345	−	15.8741i	0.179421	−	0.669607i
$563$	42.7468			1.80156			0.900781	−	0.434274i	$-0.142995\pi$
$563$	42.7468			1.80156			0.900781	+	0.434274i	$0.142995\pi$
$564$	29.8050	+	17.2080i	1.25502	+	0.724586i
$565$	−18.1847	+	28.6031i	−0.765036	+	1.20334i
$566$		−	6.30467i		−	0.265005i
$567$	−51.1076	+	13.6942i	−2.14632	+	0.575104i
$568$	3.83717	+	6.64618i	0.161004	+	0.278867i
$569$	14.2239	+	14.2239i	0.596296	+	0.596296i	0.939325	−	0.343029i	$-0.111453\pi$
$569$	14.2239	+	14.2239i	0.596296	+	0.596296i	−0.343029	+	0.939325i	$0.611453\pi$
$570$	19.7018	−	10.2795i	0.825218	−	0.430560i
$571$	3.21182	−	5.56303i	0.134410	−	0.232806i	−0.790962	−	0.611866i	$-0.790419\pi$
$571$	3.21182	−	5.56303i	0.134410	−	0.232806i	0.925372	+	0.379060i	$0.123753\pi$
$572$	−14.3421	−	8.28039i	−0.599672	−	0.346221i
$573$	6.11996	−	3.53336i	0.255665	−	0.147608i
$574$	5.44648	+	1.45938i	0.227332	+	0.0609133i
$575$	21.9360	+	1.87792i	0.914793	+	0.0783148i
$576$	−7.30413	−	4.21704i	−0.304339	−	0.175710i
$577$	13.0854	+	7.55484i	0.544751	+	0.314512i	0.747002	−	0.664821i	$-0.231492\pi$
$577$	13.0854	+	7.55484i	0.544751	+	0.314512i	−0.202251	+	0.979334i	$0.564826\pi$
$578$	−16.0552			−0.667810
$579$	8.18609	−	30.5509i	0.340202	−	1.26965i
$580$	22.5750	+	7.09471i	0.937374	+	0.294592i
$581$	−5.03968			−0.209081
$582$	−9.62085	+	9.62085i	−0.398797	+	0.398797i
$583$	−4.48986	+	1.20306i	−0.185951	+	0.0498255i
$584$	8.69667	+	8.69667i	0.359871	+	0.359871i
$585$	89.0475	+	3.80468i	3.68166	+	0.157304i
$586$	0.283790	−	0.283790i	0.0117233	−	0.0117233i
$587$	2.10966	+	3.65404i	0.0870751	+	0.150818i	0.906274	−	0.422692i	$-0.138915\pi$
$587$	2.10966	+	3.65404i	0.0870751	+	0.150818i	−0.819198	+	0.573510i	$0.805581\pi$
$588$	16.1230	+	4.32015i	0.664902	+	0.178160i
$589$	13.1820	−	7.61061i	0.543153	−	0.313590i
$590$	−3.35968	+	10.6903i	−0.138316	+	0.440113i
$591$			29.9469i			1.23185i
$592$	−6.04717	−	0.657081i	−0.248537	−	0.0270058i
$593$	−19.1963	+	19.1963i	−0.788298	+	0.788298i	−0.981215	−	0.192917i	$-0.938205\pi$
$593$	−19.1963	+	19.1963i	−0.788298	+	0.788298i	0.192917	+	0.981215i	$0.438205\pi$
$594$	−62.1951	+	16.6651i	−2.55190	+	0.683778i
$595$	2.11152	+	2.30001i	0.0865639	+	0.0942912i
$596$	3.07030	−	1.77264i	0.125764	−	0.0726100i
$597$	−48.1205	+	27.7824i	−1.96944	+	1.13706i
$598$	−20.8098			−0.850976
$599$	2.18083	−	1.25910i	0.0891062	−	0.0514455i	−0.454785	−	0.890601i	$-0.650284\pi$
$599$	2.18083	−	1.25910i	0.0891062	−	0.0514455i	0.543891	+	0.839156i	$0.316950\pi$
$600$	−5.75294	+	15.8983i	−0.234863	+	0.649045i
$601$	9.51906	−	16.4875i	0.388291	−	0.672539i	−0.603929	−	0.797038i	$-0.706399\pi$
$601$	9.51906	−	16.4875i	0.388291	−	0.672539i	0.992220	+	0.124499i	$0.0397324\pi$
$602$	−2.08787	−	2.08787i	−0.0850951	−	0.0850951i
$603$	−11.8229	−	11.8229i	−0.481467	−	0.481467i
$604$	2.07856	+	1.20006i	0.0845753	+	0.0488296i
$605$	0.122107	−	2.85788i	0.00496436	−	0.116189i
$606$	−9.58904	+	9.58904i	−0.389528	+	0.389528i
$607$	−9.01879	+	15.6210i	−0.366061	+	0.634037i	−0.988946	−	0.148277i	$-0.952627\pi$
$607$	−9.01879	+	15.6210i	−0.366061	+	0.634037i	0.622884	+	0.782314i	$0.285961\pi$
$608$	−0.760674	−	2.83888i	−0.0308494	−	0.115132i
$609$	−13.3050	−	49.6549i	−0.539146	−	2.01212i
$610$	2.01354	+	2.19328i	0.0815257	+	0.0888032i
$611$	−12.4494	+	46.4620i	−0.503651	+	1.87965i
$612$	4.09892	−	7.09955i	0.165689	−	0.286982i
$613$	5.21096	−	1.39627i	0.210469	−	0.0563949i	−0.152044	−	0.988374i	$-0.548586\pi$
$613$	5.21096	−	1.39627i	0.210469	−	0.0563949i	0.362513	+	0.931979i	$0.381919\pi$
$614$	−7.57292	−	28.2625i	−0.305618	−	1.14058i
$615$	−28.9685	+	6.45052i	−1.16812	+	0.260110i
$616$	−4.86242	−	1.30288i	−0.195913	−	0.0524946i
$617$	3.09849	+	11.5637i	0.124741	+	0.465538i	0.999830	−	0.0184227i	$-0.00586446\pi$
$617$	3.09849	+	11.5637i	0.124741	+	0.465538i	−0.875090	+	0.483961i	$0.839198\pi$
$618$	−25.4414	+	25.4414i	−1.02340	+	1.02340i
$619$	30.2107			1.21427			0.607135	−	0.794598i	$-0.292319\pi$
$619$	30.2107			1.21427			0.607135	+	0.794598i	$0.292319\pi$
$620$	−3.47206	+	11.0479i	−0.139441	+	0.443693i
$621$	−57.2116	+	57.2116i	−2.29582	+	2.29582i
$622$	−7.62862	−	2.04408i	−0.305880	−	0.0819602i
$623$			12.1490i			0.486741i
$624$	4.13611	−	15.4362i	0.165577	−	0.617941i
$625$	24.6362	+	4.24932i	0.985449	+	0.169973i
$626$	14.1499	+	24.5084i	0.565545	+	0.979553i
$627$	−30.1592	−	17.4124i	−1.20444	−	0.695385i
$628$	12.4126	+	12.4126i	0.495316	+	0.495316i
$629$	0.638677	−	5.87779i	0.0254657	−	0.234363i
$630$	26.4446	−	5.88851i	1.05358	−	0.234604i
$631$	0.702127	+	2.62037i	0.0279512	+	0.104315i	0.978492	−	0.206284i	$-0.0661370\pi$
$631$	0.702127	+	2.62037i	0.0279512	+	0.104315i	−0.950541	+	0.310599i	$0.899470\pi$
$632$	2.35523	+	0.631083i	0.0936862	+	0.0251031i
$633$	2.64786	−	9.88194i	0.105243	−	0.392772i
$634$	1.88918	+	0.506204i	0.0750289	+	0.0201039i
$635$	1.29475	+	5.81455i	0.0513804	+	0.230743i
$636$	−2.24272	−	3.88450i	−0.0889294	−	0.154030i
$637$			23.3290i			0.924330i
$638$	−9.59792	−	35.8199i	−0.379985	−	1.41812i
$639$			64.7260i			2.56052i
$640$	1.88700	+	1.19968i	0.0745902	+	0.0474215i
$641$	22.6822	−	39.2868i	0.895895	−	1.55174i	0.0632015	−	0.998001i	$-0.479869\pi$
$641$	22.6822	−	39.2868i	0.895895	−	1.55174i	0.832693	−	0.553734i	$-0.186798\pi$
$642$	34.0914	−	19.6827i	1.34548	−	0.776814i
$643$			39.8599i			1.57192i	0.618276	+	0.785961i	$0.287832\pi$
$643$			39.8599i			1.57192i	−0.618276	+	0.785961i	$0.712168\pi$
$644$	−6.10997	+	1.63716i	−0.240767	+	0.0645132i
$645$	14.8261	+	4.65946i	0.583778	+	0.183466i
$646$	2.75936	−	0.739369i	0.108566	−	0.0290901i
$647$	−6.86778	−	11.8953i	−0.270000	−	0.467654i	0.698861	−	0.715257i	$-0.253690\pi$
$647$	−6.86778	−	11.8953i	−0.270000	−	0.467654i	−0.968862	+	0.247603i	$0.920357\pi$
$648$	−18.4157	−	31.8970i	−0.723438	−	1.25303i
$649$	16.9624	−	4.54506i	0.665833	−	0.178409i
$650$	−23.5440	−	2.01558i	−0.923470	−	0.0790575i
$651$	24.3004	−	6.51128i	0.952409	−	0.255197i
$652$		−	1.56723i		−	0.0613775i
$653$	42.4731	−	24.5219i	1.66210	−	0.959614i	0.690391	−	0.723437i	$-0.257439\pi$
$653$	42.4731	−	24.5219i	1.66210	−	0.959614i	0.971710	−	0.236178i	$-0.0758947\pi$
$654$	0.375964	−	0.651189i	0.0147014	−	0.0254635i
$655$	41.5921	−	9.26145i	1.62514	−	0.361875i
$656$			3.92508i			0.153249i
$657$	26.8474	+	100.196i	1.04742	+	3.90901i
$658$			14.6212i			0.569992i
$659$	12.3022	+	21.3080i	0.479226	+	0.830043i	0.999716	−	0.0238243i	$-0.00758424\pi$
$659$	12.3022	+	21.3080i	0.479226	+	0.830043i	−0.520491	+	0.853867i	$0.674251\pi$
$660$	25.8621	−	5.75879i	1.00668	−	0.224161i
$661$	27.3954	+	7.34058i	1.06556	+	0.285515i	0.748667	−	0.662947i	$-0.230694\pi$
$661$	27.3954	+	7.34058i	1.06556	+	0.285515i	0.316891	+	0.948462i	$0.397361\pi$
$662$	1.61772	−	6.03742i	0.0628745	−	0.234651i
$663$	15.0038	+	4.02026i	0.582700	+	0.156134i
$664$	−0.907980	−	3.38863i	−0.0352364	−	0.131504i
$665$	7.96705	+	5.06513i	0.308949	+	0.196417i
$666$	−41.3983	−	30.3005i	−1.60415	−	1.17412i
$667$	−32.9498	−	32.9498i	−1.27582	−	1.27582i
$668$	−13.1746	−	7.60634i	−0.509739	−	0.294298i
$669$	29.5763	+	51.2277i	1.14349	+	1.98058i
$670$	2.99787	+	3.26548i	0.115818	+	0.126156i
$671$	1.20762	−	4.50691i	0.0466198	−	0.173987i
$672$		−	4.85762i		−	0.187387i
$673$	−38.3933	−	10.2874i	−1.47995	−	0.396552i	−0.573621	−	0.819121i	$-0.694462\pi$
$673$	−38.3933	−	10.2874i	−1.47995	−	0.396552i	−0.906331	+	0.422569i	$0.861128\pi$
$674$	11.6182	−	11.6182i	0.447518	−	0.447518i
$675$	−70.2699	+	59.1872i	−2.70469	+	2.27812i
$676$	9.33521			0.359047
$677$	−32.3047	+	32.3047i	−1.24157	+	1.24157i	−0.282222	+	0.959349i	$0.591071\pi$
$677$	−32.3047	+	32.3047i	−1.24157	+	1.24157i	−0.959349	+	0.282222i	$0.908929\pi$
$678$	13.2659	+	49.5091i	0.509475	+	1.90139i
$679$	−5.58335	−	1.49605i	−0.214269	−	0.0574133i
$680$	−1.16608	+	1.83415i	−0.0447170	+	0.0703364i
$681$	−16.2086	−	60.4915i	−0.621117	−	2.31804i
$682$	17.5298	−	4.69709i	0.671250	−	0.179861i
$683$	0.929575	−	1.61007i	0.0355692	−	0.0616077i	−0.847693	−	0.530487i	$-0.822009\pi$
$683$	0.929575	−	1.61007i	0.0355692	−	0.0616077i	0.883262	+	0.468880i	$0.155342\pi$
$684$	6.41559	−	23.9433i	0.245306	−	0.915495i
$685$	−8.30365	+	7.62316i	−0.317266	+	0.291266i
$686$	4.43802	+	16.5629i	0.169444	+	0.632375i
$687$	−3.07775	−	11.4863i	−0.117424	−	0.438231i
$688$	1.02770	−	1.78002i	0.0391806	−	0.0678627i
$689$	4.43286	−	4.43286i	0.168878	−	0.168878i
$690$	24.5255	−	22.5156i	0.933669	−	0.857154i
$691$	3.86457	+	2.23121i	0.147015	+	0.0848793i	0.571703	−	0.820460i	$-0.306283\pi$
$691$	3.86457	+	2.23121i	0.147015	+	0.0848793i	−0.424688	+	0.905340i	$0.639616\pi$
$692$	−14.9715	−	14.9715i	−0.569130	−	0.569130i
$693$	−30.0214	−	30.0214i	−1.14042	−	1.14042i
$694$	−17.0433	+	29.5199i	−0.646956	+	1.12056i
$695$	−23.8236	−	15.1461i	−0.903682	−	0.574525i
$696$	30.9903	−	17.8923i	1.17469	−	0.678205i
$697$	−3.81515			−0.144509
$698$	10.0882	−	5.82443i	0.381844	−	0.220458i
$699$	43.4349	−	25.0771i	1.64286	−	0.948504i
$700$	−7.07132	+	1.26047i	−0.267271	+	0.0476413i
$701$	−20.2624	+	5.42929i	−0.765300	+	0.205061i	−0.620294	−	0.784369i	$-0.712987\pi$
$701$	−20.2624	+	5.42929i	−0.765300	+	0.205061i	−0.145006	+	0.989431i	$0.546320\pi$
$702$	61.4054	−	61.4054i	2.31760	−	2.31760i
$703$	−2.73456	−	17.6670i	−0.103136	−	0.666323i
$704$		−	3.50418i		−	0.132069i
$705$	−35.5981	−	68.2279i	−1.34070	−	2.56961i
$706$	−5.24895	+	3.03048i	−0.197547	+	0.114054i
$707$	−5.56489	−	1.49111i	−0.209289	−	0.0560788i
$708$	8.47283	+	14.6754i	0.318428	+	0.551534i
$709$	−29.2845	+	29.2845i	−1.09980	+	1.09980i	−0.105371	+	0.994433i	$0.533603\pi$
$709$	−29.2845	+	29.2845i	−1.09980	+	1.09980i	−0.994433	+	0.105371i	$0.966397\pi$
$710$	0.732533	−	17.1447i	0.0274915	−	0.643430i
$711$	14.5416	+	14.5416i	0.545354	+	0.545354i
$712$	−8.16888	+	2.18884i	−0.306142	+	0.0820304i
$713$	16.1252	−	16.1252i	0.603892	−	0.603892i
$714$	4.72156			0.176700
$715$	17.1297	+	32.8310i	0.640613	+	1.22781i
$716$	−0.337331	+	1.25894i	−0.0126066	+	0.0470487i
$717$	66.7467			2.49270
$718$	−27.6997	−	15.9924i	−1.03374	−	0.596831i
$719$	−27.3472	−	15.7889i	−1.01988	−	0.588826i	−0.105809	−	0.994386i	$-0.533743\pi$
$719$	−27.3472	−	15.7889i	−1.01988	−	0.588826i	−0.914068	+	0.405560i	$0.867077\pi$
$720$	8.72379	+	16.7202i	0.325117	+	0.623124i
$721$	−14.7646	−	3.95617i	−0.549863	−	0.147335i
$722$	−8.97389	+	5.18108i	−0.333974	+	0.192820i
$723$	12.4542	+	7.19045i	0.463177	+	0.267416i
$724$	−2.29210	+	3.97004i	−0.0851853	+	0.147545i
$725$	−34.0876	−	40.4704i	−1.26598	−	1.50303i
$726$	−3.05873	−	3.05873i	−0.113520	−	0.113520i
$727$	−25.0660	−	43.4156i	−0.929647	−	1.61020i	−0.783912	−	0.620872i	$-0.786779\pi$
$727$	−25.0660	−	43.4156i	−0.929647	−	1.61020i	−0.145734	−	0.989324i	$-0.546554\pi$
$728$	6.55785	−	1.75717i	0.243050	−	0.0651251i
$729$		−	124.238i		−	4.60141i
$730$	−5.97741	−	26.8438i	−0.221234	−	0.993534i
$731$	1.73017	+	0.998912i	0.0639925	+	0.0369461i
$732$	4.50246			0.166416
$733$	−7.99651	+	29.8434i	−0.295358	+	1.10229i	0.645575	+	0.763697i	$0.276618\pi$
$733$	−7.99651	+	29.8434i	−0.295358	+	1.10229i	−0.940933	+	0.338594i	$0.890049\pi$
$734$	9.29420	+	9.29420i	0.343055	+	0.343055i
$735$	−25.2413	−	27.4946i	−0.931041	−	1.01415i
$736$	−2.20162	−	3.81332i	−0.0811528	−	0.140561i
$737$	1.79798	−	6.71015i	0.0662294	−	0.247171i
$738$	−16.5522	+	28.6693i	−0.609296	+	1.05533i
$739$	12.6410			0.465008			0.232504	−	0.972595i	$-0.425308\pi$
$739$	12.6410			0.465008			0.232504	+	0.972595i	$0.425308\pi$
$740$	10.6227	+	8.49457i	0.390499	+	0.312267i
$741$	46.9676			1.72540
$742$	0.952788	−	1.65028i	0.0349780	−	0.0605836i
$743$	−6.29439	+	23.4910i	−0.230919	+	0.861801i	0.749027	+	0.662539i	$0.230521\pi$
$743$	−6.29439	+	23.4910i	−0.230919	+	0.861801i	−0.979946	+	0.199262i	$0.936146\pi$
$744$	8.75623	+	15.1662i	0.321019	+	0.556021i
$745$	−7.92024	−	0.338404i	−0.290175	−	0.0123982i
$746$	−16.2338	−	16.2338i	−0.594361	−	0.594361i
$747$	7.65797	−	28.5799i	0.280190	−	1.04568i
$748$	3.40603			0.124537
$749$	14.4833	+	8.36194i	0.529209	+	0.305539i
$750$	29.9286	−	23.0984i	1.09284	−	0.843434i
$751$			2.01126i			0.0733919i	0.999326	+	0.0366959i	$0.0116833\pi$
$751$			2.01126i			0.0733919i	−0.999326	+	0.0366959i	$0.988317\pi$
$752$	−9.83111	+	2.63424i	−0.358504	+	0.0960607i
$753$	41.8438	+	72.4757i	1.52487	+	2.64116i
$754$	35.3651	+	35.3651i	1.28792	+	1.28792i
$755$	−2.48256	−	4.75811i	−0.0903495	−	0.173165i
$756$	13.1983	−	22.8602i	0.480019	−	0.831417i
$757$	23.6621	+	13.6613i	0.860014	+	0.496529i	0.864017	−	0.503463i	$-0.167941\pi$
$757$	23.6621	+	13.6613i	0.860014	+	0.496529i	−0.00400317	+	0.999992i	$0.501274\pi$
$758$	−9.34232	+	5.39379i	−0.339328	+	0.195911i
$759$	−50.3968	−	13.5038i	−1.82929	−	0.490156i
$760$	−1.97035	+	6.26952i	−0.0714720	+	0.227420i
$761$	−4.73002	−	2.73088i	−0.171463	−	0.0989942i	0.411813	−	0.911269i	$-0.364896\pi$
$761$	−4.73002	−	2.73088i	−0.171463	−	0.0989942i	−0.583275	+	0.812274i	$0.698229\pi$
$762$	7.80137	+	4.50412i	0.282614	+	0.163167i
$763$	0.319447			0.0115648
$764$	−0.540896	+	2.01865i	−0.0195689	+	0.0730322i
$765$	−16.2518	+	8.47945i	−0.587587	+	0.306575i
$766$	29.0905			1.05108
$767$	−16.7470	+	16.7470i	−0.604700	+	0.604700i
$768$	3.26621	−	0.875179i	0.117859	−	0.0315803i
$769$	−24.5717	−	24.5717i	−0.886078	−	0.886078i	0.108065	−	0.994144i	$-0.465534\pi$
$769$	−24.5717	−	24.5717i	−0.886078	−	0.886078i	−0.994144	+	0.108065i	$0.965534\pi$
$770$	7.61235	+	8.29188i	0.274330	+	0.298819i
$771$	−30.3883	+	30.3883i	−1.09441	+	1.09441i
$772$	4.67681	+	8.10047i	0.168322	+	0.291542i
$773$	−28.4194	−	7.61495i	−1.02217	−	0.273891i	−0.291466	−	0.956581i	$-0.594143\pi$
$773$	−28.4194	−	7.61495i	−1.02217	−	0.273891i	−0.730708	+	0.682690i	$0.760810\pi$
$774$	15.0129	−	8.66767i	0.539626	−	0.311553i
$775$	19.8057	−	16.6820i	0.711441	−	0.599235i
$776$		−	4.02372i		−	0.144443i
$777$	3.19185	−	29.3748i	0.114507	−	1.05382i
$778$	12.7044	−	12.7044i	0.455475	−	0.455475i
$779$	−11.1428	+	2.98571i	−0.399233	+	0.106974i
$780$	−26.3233	+	24.1660i	−0.942525	+	0.865283i
$781$	−23.2894	+	13.4461i	−0.833359	+	0.481140i
$782$	3.70651	−	2.13996i	0.132545	−	0.0765247i
$783$	194.456			6.94929
$784$	−4.27496	+	2.46815i	−0.152677	+	0.0881483i
$785$	−8.53144	−	38.3137i	−0.304500	−	1.36747i
$786$	32.2184	−	55.8040i	1.14919	−	1.99046i
$787$	35.7691	+	35.7691i	1.27503	+	1.27503i	0.943415	+	0.331614i	$0.107593\pi$
$787$	35.7691	+	35.7691i	1.27503	+	1.27503i	0.331614	+	0.943415i	$0.392407\pi$
$788$	−6.26234	−	6.26234i	−0.223087	−	0.223087i
$789$	−80.3553	−	46.3932i	−2.86072	−	1.65164i
$790$	−3.68723	−	4.01638i	−0.131186	−	0.142896i
$791$	−15.3974	+	15.3974i	−0.547470	+	0.547470i
$792$	14.7772	−	25.5949i	0.525087	−	0.909477i
$793$	1.62870	+	6.07838i	0.0578368	+	0.215850i
$794$	−5.79233	−	21.6173i	−0.205562	−	0.767168i
$795$	−0.428144	+	10.0206i	−0.0151847	+	0.355394i
$796$	4.25300	−	15.8724i	0.150743	−	0.562582i
$797$	−7.08703	+	12.2751i	−0.251035	+	0.434806i	−0.963811	−	0.266586i	$-0.914104\pi$
$797$	−7.08703	+	12.2751i	−0.251035	+	0.434806i	0.712776	+	0.701392i	$0.247438\pi$
$798$	13.7902	−	3.69507i	0.488167	−	0.130804i
$799$	−2.56046	−	9.55575i	−0.0905824	−	0.338058i
$800$	−2.12154	−	4.52759i	−0.0750078	−	0.160074i
$801$	−68.8969	−	18.4609i	−2.43435	−	0.652283i
$802$	2.83388	+	10.5762i	0.100068	+	0.373458i
$803$	−30.4746	+	30.4746i	−1.07543	+	1.07543i
$804$	6.70352			0.236415
$805$	13.4936	+	4.24068i	0.475587	+	0.149464i
$806$	−17.3072	+	17.3072i	−0.609620	+	0.609620i
$807$	92.5752	+	24.8055i	3.25880	+	0.873193i
$808$		−	4.01042i		−	0.141086i
$809$	0.159692	−	0.595977i	0.00561446	−	0.0209534i	−0.963062	−	0.269281i	$-0.913214\pi$
$809$	0.159692	−	0.595977i	0.00561446	−	0.0209534i	0.968676	+	0.248327i	$0.0798808\pi$
$810$	−3.51564	+	82.2825i	−0.123527	+	2.89111i
$811$	0.826008	+	1.43069i	0.0290051	+	0.0502383i	0.880164	−	0.474671i	$-0.157433\pi$
$811$	0.826008	+	1.43069i	0.0290051	+	0.0502383i	−0.851158	+	0.524909i	$0.824099\pi$
$812$	13.1658	+	7.60130i	0.462030	+	0.266753i
$813$	−38.5617	−	38.5617i	−1.35242	−	1.35242i
$814$	2.30253	−	21.1903i	0.0807035	−	0.742721i
$815$	−1.88017	+	2.95736i	−0.0658596	+	0.103592i
$816$	0.850666	+	3.17473i	0.0297793	+	0.111138i
$817$	5.83501	+	1.56349i	0.204141	+	0.0546994i
$818$	9.84406	−	36.7385i	0.344189	−	1.28453i
$819$	55.3094	+	14.8201i	1.93267	+	0.517857i
$820$	4.70884	−	7.40664i	0.164440	−	0.258651i
$821$	9.77472	+	16.9303i	0.341140	+	0.590872i	0.984645	−	0.174570i	$-0.0558536\pi$
$821$	9.77472	+	16.9303i	0.341140	+	0.590872i	−0.643505	+	0.765442i	$0.722520\pi$
$822$			17.0461i			0.594552i
$823$	−11.9558	−	44.6198i	−0.416754	−	1.55535i	−0.781296	−	0.624161i	$-0.785441\pi$
$823$	−11.9558	−	44.6198i	−0.416754	−	1.55535i	0.364541	−	0.931187i	$-0.381226\pi$
$824$		−	10.6403i		−	0.370674i
$825$	−55.7104	−	20.1593i	−1.93959	−	0.701857i
$826$	−3.59957	+	6.23464i	−0.125245	+	0.216931i
$827$	−3.11021	+	1.79568i	−0.108152	+	0.0624419i	−0.553101	−	0.833115i	$-0.686555\pi$
$827$	−3.11021	+	1.79568i	−0.108152	+	0.0624419i	0.444948	+	0.895556i	$0.353222\pi$
$828$		−	37.1373i		−	1.29061i
$829$	−26.7372	+	7.16420i	−0.928620	+	0.248823i	−0.691266	−	0.722600i	$-0.742947\pi$
$829$	−26.7372	+	7.16420i	−0.928620	+	0.248823i	−0.237354	+	0.971423i	$0.576280\pi$
$830$	−2.35191	+	7.48362i	−0.0816358	+	0.259760i
$831$	31.0484	−	8.31940i	1.07706	−	0.288597i
$832$	2.36301	+	4.09285i	0.0819225	+	0.141894i
$833$	−2.39902	−	4.15523i	−0.0831212	−	0.143970i
$834$	−41.2364	+	11.0492i	−1.42790	+	0.382604i
$835$	15.7352	+	30.1584i	0.544540	+	1.04367i
$836$	9.94792	−	2.66554i	0.344056	−	0.0921895i
$837$			95.1641i			3.28935i
$838$	17.6534	−	10.1922i	0.609826	−	0.352083i
$839$	−11.9347	+	20.6714i	−0.412030	+	0.713657i	−0.995112	−	0.0987566i	$-0.968513\pi$
$839$	−11.9347	+	20.6714i	−0.412030	+	0.713657i	0.583082	+	0.812414i	$0.301847\pi$
$840$	−5.82758	+	9.16633i	−0.201071	+	0.316268i
$841$			82.9928i			2.86182i
$842$	0.473653	+	1.76770i	0.0163232	+	0.0609188i
$843$			55.5706i			1.91395i
$844$	1.51275	+	2.62016i	0.0520711	+	0.0901897i
$845$	−17.6156	−	11.1993i	−0.605993	−	0.385266i
$846$	−82.9163	−	22.2174i	−2.85072	−	0.763849i
$847$	0.475636	−	1.77510i	0.0163430	−	0.0609930i
$848$	1.28129	+	0.343321i	0.0439997	+	0.0117897i
$849$	5.51772	+	20.5924i	0.189368	+	0.706729i
$850$	4.40078	−	2.06212i	0.150945	−	0.0707301i
$851$	−10.8079	−	24.5064i	−0.370491	−	0.840070i
$852$	−18.3496	−	18.3496i	−0.628647	−	0.628647i
$853$	−0.183861	−	0.106152i	−0.00629527	−	0.00363458i	0.496849	−	0.867837i	$-0.334490\pi$
$853$	−0.183861	−	0.106152i	−0.00629527	−	0.00363458i	−0.503144	+	0.864202i	$0.667824\pi$
$854$	0.956406	+	1.65654i	0.0327275	+	0.0566858i
$855$	−40.8305	+	37.4844i	−1.39637	+	1.28194i
$856$	−3.01308	+	11.2450i	−0.102985	+	0.384345i
$857$		−	27.1108i		−	0.926089i	−0.886335	−	0.463044i	$-0.846757\pi$
$857$		−	27.1108i		−	0.926089i	0.886335	−	0.463044i	$-0.153243\pi$
$858$	54.0910	+	14.4936i	1.84664	+	0.494805i
$859$	21.9845	−	21.9845i	0.750100	−	0.750100i	−0.224398	−	0.974498i	$-0.572041\pi$
$859$	21.9845	−	21.9845i	0.750100	−	0.750100i	0.974498	+	0.224398i	$0.0720415\pi$
$860$	−4.07472	+	2.12600i	−0.138947	+	0.0724959i
$861$	−19.0666			−0.649787
$862$	−8.05678	+	8.05678i	−0.274415	+	0.274415i
$863$	5.91079	+	22.0594i	0.201206	+	0.750910i	0.990573	+	0.136988i	$0.0437423\pi$
$863$	5.91079	+	22.0594i	0.201206	+	0.750910i	−0.789367	+	0.613922i	$0.789591\pi$
$864$	17.7488	+	4.75579i	0.603828	+	0.161795i
$865$	10.2902	+	46.2121i	0.349878	+	1.57126i
$866$	7.71298	+	28.7852i	0.262098	+	0.978162i
$867$	52.4398	−	14.0512i	1.78095	−	0.477204i
$868$	−3.71997	+	6.44318i	−0.126264	+	0.218696i
$869$	−2.21143	+	8.25316i	−0.0750175	+	0.279969i
$870$	−79.9437	−	3.41571i	−2.71035	−	0.115804i
$871$	2.42490	+	9.04985i	0.0821646	+	0.306642i
$872$	0.0575535	+	0.214793i	0.00194901	+	0.00727380i
$873$	16.9682	−	29.3898i	0.574286	−	0.994693i
$874$	9.15082	−	9.15082i	0.309531	−	0.309531i
$875$	14.8558	+	6.10481i	0.502216	+	0.206380i
$876$	−36.0163	−	20.7940i	−1.21688	−	0.702565i
$877$	−21.9585	−	21.9585i	−0.741486	−	0.741486i	0.231378	−	0.972864i	$-0.425677\pi$
$877$	−21.9585	−	21.9585i	−0.741486	−	0.741486i	−0.972864	+	0.231378i	$0.925677\pi$
$878$	−1.10150	−	1.10150i	−0.0371740	−	0.0371740i
$879$	−0.678552	+	1.17529i	−0.0228870	+	0.0396415i
$880$	−4.20389	+	6.61238i	−0.141713	+	0.222903i
$881$	18.6571	−	10.7717i	0.628573	−	0.362907i	−0.151626	−	0.988438i	$-0.548451\pi$
$881$	18.6571	−	10.7717i	0.628573	−	0.362907i	0.780199	+	0.625531i	$0.215118\pi$
$882$	−41.6332			−1.40186
$883$	19.6654	−	11.3538i	0.661793	−	0.382086i	−0.131167	−	0.991360i	$-0.541872\pi$
$883$	19.6654	−	11.3538i	0.661793	−	0.382086i	0.792960	+	0.609274i	$0.208539\pi$
$884$	−3.97821	+	2.29682i	−0.133802	+	0.0772505i
$885$	1.61750	−	37.8571i	0.0543717	−	1.27255i
$886$	1.43748	−	0.385172i	0.0482931	−	0.0129401i
$887$	−0.00361556	+	0.00361556i	−0.000121399	+	0.000121399i	−0.707167	−	0.707046i	$-0.750027\pi$
$887$	−0.00361556	+	0.00361556i	−0.000121399	+	0.000121399i	0.707046	+	0.707167i	$0.250027\pi$
$888$	20.3264	−	3.14619i	0.682109	−	0.105579i
$889$			3.82704i			0.128355i
$890$	18.0406	+	5.66968i	0.604722	+	0.190048i
$891$	111.773	−	64.5319i	3.74452	−	2.16190i
$892$	−16.8973	−	4.52762i	−0.565763	−	0.151596i
$893$	−14.9565	−	25.9055i	−0.500502	−	0.866894i
$894$	−8.47686	+	8.47686i	−0.283509	+	0.283509i
$895$	2.14686	−	1.97092i	0.0717617	−	0.0658807i
$896$	1.01580	+	1.01580i	0.0339355	+	0.0339355i
$897$	67.9692	−	18.2123i	2.26942	−	0.608091i
$898$	−3.84964	+	3.84964i	−0.128464	+	0.128464i
$899$	−54.8077			−1.82794
$900$	3.59702	−	42.0167i	0.119901	−	1.40056i
$901$	−0.333705	+	1.24540i	−0.0111173	+	0.0414904i
$902$	−13.7542			−0.457964
$903$	8.64667	+	4.99216i	0.287743	+	0.166129i
$904$	−13.1272	−	7.57898i	−0.436604	−	0.252073i
$905$	9.08797	−	4.74167i	0.302094	−	0.157619i
$906$	−7.83927	−	2.10053i	−0.260442	−	0.0697853i
$907$	36.3982	−	21.0145i	1.20858	−	0.697776i	0.246133	−	0.969236i	$-0.420840\pi$
$907$	36.3982	−	21.0145i	1.20858	−	0.697776i	0.962450	+	0.271460i	$0.0875066\pi$
$908$	16.0391	+	9.26019i	0.532277	+	0.307310i
$909$	16.9121	−	29.2926i	0.560939	−	0.971574i
$910$	−14.4827	−	4.55154i	−0.480097	−	0.150882i
$911$	19.3975	+	19.3975i	0.642668	+	0.642668i	0.951210	−	0.308543i	$-0.0998413\pi$
$911$	19.3975	+	19.3975i	0.642668	+	0.642668i	−0.308543	+	0.951210i	$0.599841\pi$
$912$	4.96905	+	8.60664i	0.164542	+	0.284994i
$913$	11.8743	−	3.18172i	0.392983	−	0.105300i
$914$			8.70219i			0.287843i
$915$	−8.49614	−	5.40151i	−0.280874	−	0.178568i
$916$	3.04556	+	1.75836i	0.100628	+	0.0580978i
$917$	27.3752			0.904008
$918$	−4.62259	+	17.2517i	−0.152568	+	0.569392i
$919$	7.19621	+	7.19621i	0.237381	+	0.237381i	0.815765	−	0.578384i	$-0.196316\pi$
$919$	7.19621	+	7.19621i	0.237381	+	0.237381i	−0.578384	+	0.815765i	$0.696316\pi$
$920$	−0.420299	+	9.83697i	−0.0138569	+	0.324315i
$921$	49.4695	+	85.6837i	1.63008	+	2.82337i
$922$	−0.672506	+	2.50982i	−0.0221478	+	0.0826567i
$923$	18.1345	−	31.4099i	0.596905	−	1.03387i
$924$	17.0220			0.559981
$925$	−9.85432	−	28.7731i	−0.324008	−	0.946054i
$926$	−20.9855			−0.689628
$927$	44.8707	−	77.7184i	1.47375	−	2.55261i
$928$	−2.73899	+	10.2221i	−0.0899119	+	0.335556i
$929$	−6.98717	−	12.1021i	−0.229242	−	0.397058i	0.728342	−	0.685214i	$-0.240291\pi$
$929$	−6.98717	−	12.1021i	−0.229242	−	0.397058i	−0.957584	+	0.288156i	$0.906958\pi$
$930$	1.67160	−	39.1234i	0.0548140	−	1.28291i
$931$	−10.2586	−	10.2586i	−0.336213	−	0.336213i
$932$	−3.83887	+	14.3269i	−0.125746	+	0.469292i
$933$	26.7056			0.874303
$934$	−15.8254	−	9.13682i	−0.517824	−	0.298966i
$935$	−6.42718	−	4.08614i	−0.210191	−	0.133631i
$936$			39.8596i			1.30285i
$937$	6.60041	−	1.76857i	0.215626	−	0.0577768i	−0.149389	−	0.988779i	$-0.547731\pi$
$937$	6.60041	−	1.76857i	0.215626	−	0.0577768i	0.365015	+	0.931002i	$0.381064\pi$
$938$	1.42395	+	2.46636i	0.0464937	+	0.0805294i
$939$	−67.6659	−	67.6659i	−2.20819	−	2.20819i
$940$	21.7115	+	6.82336i	0.708152	+	0.222554i
$941$	18.5811	−	32.1834i	0.605727	−	1.04915i	−0.386209	−	0.922411i	$-0.626216\pi$
$941$	18.5811	−	32.1834i	0.605727	−	1.04915i	0.991936	−	0.126739i	$-0.0404510\pi$
$942$	−51.4054	−	29.6789i	−1.67488	−	0.966992i
$943$	−14.9676	+	8.64155i	−0.487412	+	0.281408i
$944$	−4.84063	−	1.29704i	−0.157549	−	0.0422151i
$945$	−52.3302	+	27.3034i	−1.70230	+	0.888181i
$946$	6.23751	+	3.60123i	0.202799	+	0.117086i
$947$	−42.4086	−	24.4846i	−1.37810	−	0.795644i	−0.386166	−	0.922429i	$-0.626201\pi$
$947$	−42.4086	−	24.4846i	−1.37810	−	0.795644i	−0.991930	+	0.126785i	$0.959534\pi$
$948$	−8.24501			−0.267785
$949$	15.0439	−	56.1444i	0.488344	−	1.82253i
$950$	11.2395	−	9.46681i	0.364656	−	0.307144i
$951$	−6.61348			−0.214457
$952$	−0.987348	+	0.987348i	−0.0320001	+	0.0320001i
$953$	−19.3616	+	5.18793i	−0.627185	+	0.168054i	−0.558392	−	0.829577i	$-0.688581\pi$
$953$	−19.3616	+	5.18793i	−0.627185	+	0.168054i	−0.0687928	+	0.997631i	$0.521915\pi$
$954$	7.91090	+	7.91090i	0.256125	+	0.256125i
$955$	3.44240	−	3.16029i	0.111394	−	0.102265i
$956$	−13.9577	+	13.9577i	−0.451424	+	0.451424i
$957$	62.6977	+	108.596i	2.02673	+	3.51040i
$958$	−8.87679	−	2.37853i	−0.286796	−	0.0768468i
$959$	−6.27160	+	3.62091i	−0.202521	+	0.116925i
$960$	−7.21328	−	2.26694i	−0.232807	−	0.0731653i
$961$			4.17787i			0.134770i
$962$	11.6002	+	26.3028i	0.374005	+	0.848037i
$963$	−69.4284	+	69.4284i	−2.23730	+	2.23730i
$964$	−4.10799	+	1.10073i	−0.132309	+	0.0354522i
$965$	0.892823	−	20.8963i	0.0287410	−	0.672674i
$966$	18.5237	−	10.6946i	0.595989	−	0.344094i
$967$	−28.5379	+	16.4763i	−0.917716	+	0.529843i	−0.882906	−	0.469551i	$-0.844416\pi$
$967$	−28.5379	+	16.4763i	−0.917716	+	0.529843i	−0.0348101	+	0.999394i	$0.511083\pi$
$968$	1.27925			0.0411166
$969$	−8.36558	+	4.82987i	−0.268741	+	0.155158i
$970$	−4.82718	+	7.59277i	−0.154991	+	0.243789i
$971$	−6.88036	+	11.9171i	−0.220801	+	0.382439i	−0.955052	−	0.296440i	$-0.904201\pi$
$971$	−6.88036	+	11.9171i	−0.220801	+	0.382439i	0.734250	+	0.678879i	$0.237534\pi$
$972$	49.0860	+	49.0860i	1.57443	+	1.57443i
$973$	−12.8246	−	12.8246i	−0.411138	−	0.411138i
$974$	25.1720	+	14.5331i	0.806564	+	0.465670i
$975$	78.6635	−	14.0219i	2.51925	−	0.449059i
$976$	−0.941530	+	0.941530i	−0.0301377	+	0.0301377i
$977$	11.6348	−	20.1521i	0.372231	−	0.644724i	−0.617677	−	0.786432i	$-0.711926\pi$
$977$	11.6348	−	20.1521i	0.372231	−	0.644724i	0.989908	+	0.141708i	$0.0452594\pi$
$978$	1.37161	+	5.11891i	0.0438591	+	0.163685i
$979$	−7.67010	−	28.6252i	−0.245137	−	0.914865i
$980$	11.0278	+	0.471181i	0.352272	+	0.0150513i
$981$	−0.485411	+	1.81158i	−0.0154980	+	0.0578392i
$982$	6.84516	−	11.8562i	0.218438	−	0.378345i
$983$	6.32309	−	1.69427i	0.201675	−	0.0540387i	−0.156567	−	0.987667i	$-0.550043\pi$
$983$	6.32309	−	1.69427i	0.201675	−	0.0540387i	0.358242	+	0.933629i	$0.383376\pi$
$984$	−3.43515	−	12.8202i	−0.109509	−	0.408692i
$985$	4.30424	+	19.3298i	0.137145	+	0.615900i
$986$	−9.93576	−	2.66228i	−0.316419	−	0.0847842i
$987$	−12.7961	−	47.7558i	−0.407305	−	1.52008i
$988$	−9.82161	+	9.82161i	−0.312467	+	0.312467i
$989$	9.05039			0.287786
$990$	−58.5904	+	30.5697i	−1.86212	+	0.971569i
$991$	30.4823	−	30.4823i	0.968304	−	0.968304i	−0.0312093	−	0.999513i	$-0.509936\pi$
$991$	30.4823	−	30.4823i	0.968304	−	0.968304i	0.999513	+	0.0312093i	$0.00993585\pi$
$992$	−5.00254	−	1.34043i	−0.158831	−	0.0425586i
$993$			21.1353i			0.670708i
$994$	2.85339	−	10.6490i	0.0905039	−	0.337765i
$995$	−27.0672	+	24.8490i	−0.858087	+	0.787766i
$996$	5.93131	+	10.2733i	0.187941	+	0.325523i
$997$	1.24079	+	0.716368i	0.0392961	+	0.0226876i	0.519519	−	0.854459i	$-0.326111\pi$
$997$	1.24079	+	0.716368i	0.0392961	+	0.0226876i	−0.480223	+	0.877146i	$0.659444\pi$
$998$	10.0204	+	10.0204i	0.317190	+	0.317190i
$999$	104.205	+	40.4215i	3.29691	+	1.27888i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.q.f.97.1	✓	32
5.3	odd	4		370.2.r.f.23.1	yes	32
37.29	odd	12		370.2.r.f.177.1	yes	32
185.103	even	12	inner	370.2.q.f.103.1	yes	32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.q.f.97.1	✓	32	1.1	even	1	trivial
370.2.q.f.103.1	yes	32	185.103	even	12	inner
370.2.r.f.23.1	yes	32	5.3	odd	4
370.2.r.f.177.1	yes	32	37.29	odd	12

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(0.500000 - 0.866025i) q^{2} +(-0.875179 + 3.26621i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.0954522 + 2.23403i) q^{5} +(2.39103 + 2.39103i) q^{6} +(-0.371808 + 1.38761i) q^{7} -1.00000 q^{8} +(-7.30413 - 4.21704i) q^{9} +O(q^{10})\)	\(q+(0.500000 - 0.866025i) q^{2} +(-0.875179 + 3.26621i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.0954522 + 2.23403i) q^{5} +(2.39103 + 2.39103i) q^{6} +(-0.371808 + 1.38761i) q^{7} -1.00000 q^{8} +(-7.30413 - 4.21704i) q^{9} +(1.88700 + 1.19968i) q^{10} -3.50418i q^{11} +(3.26621 - 0.875179i) q^{12} +(2.36301 + 4.09285i) q^{13} +(1.01580 + 1.01580i) q^{14} +(-7.21328 - 2.26694i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-0.841769 - 0.485996i) q^{17} +(-7.30413 + 4.21704i) q^{18} +(-2.83888 - 0.760674i) q^{19} +(1.98245 - 1.03435i) q^{20} +(-4.20682 - 2.42881i) q^{21} +(-3.03471 - 1.75209i) q^{22} -4.40324 q^{23} +(0.875179 - 3.26621i) q^{24} +(-4.98178 - 0.426486i) q^{25} +4.72601 q^{26} +(12.9931 - 12.9931i) q^{27} +(1.38761 - 0.371808i) q^{28} +(7.48307 + 7.48307i) q^{29} +(-5.56987 + 5.11341i) q^{30} +(-3.66211 + 3.66211i) q^{31} +(0.500000 + 0.866025i) q^{32} +(11.4454 + 3.06678i) q^{33} +(-0.841769 + 0.485996i) q^{34} +(-3.06447 - 0.963081i) q^{35} +8.43408i q^{36} +(2.45454 + 5.56554i) q^{37} +(-2.07820 + 2.07820i) q^{38} +(-15.4362 + 4.13611i) q^{39} +(0.0954522 - 2.23403i) q^{40} +(3.39922 - 1.96254i) q^{41} +(-4.20682 + 2.42881i) q^{42} -2.05539 q^{43} +(-3.03471 + 1.75209i) q^{44} +(10.1182 - 15.9151i) q^{45} +(-2.20162 + 3.81332i) q^{46} +(7.19687 + 7.19687i) q^{47} +(-2.39103 - 2.39103i) q^{48} +(4.27496 + 2.46815i) q^{49} +(-2.86024 + 4.10110i) q^{50} +(2.32406 - 2.32406i) q^{51} +(2.36301 - 4.09285i) q^{52} +(-0.343321 - 1.28129i) q^{53} +(-4.75579 - 17.7488i) q^{54} +(7.82843 + 0.334481i) q^{55} +(0.371808 - 1.38761i) q^{56} +(4.96905 - 8.60664i) q^{57} +(10.2221 - 2.73899i) q^{58} +(1.29704 + 4.84063i) q^{59} +(1.64341 + 7.38035i) q^{60} +(1.28615 + 0.344624i) q^{61} +(1.34043 + 5.00254i) q^{62} +(8.56733 - 8.56733i) q^{63} +1.00000 q^{64} +(-9.36910 + 4.88836i) q^{65} +(8.37860 - 8.37860i) q^{66} +(1.91490 + 0.513096i) q^{67} +0.971991i q^{68} +(3.85362 - 14.3819i) q^{69} +(-2.36629 + 2.17237i) q^{70} +(-3.83717 - 6.64618i) q^{71} +(7.30413 + 4.21704i) q^{72} +(-8.69667 - 8.69667i) q^{73} +(6.04717 + 0.657081i) q^{74} +(5.75294 - 15.8983i) q^{75} +(0.760674 + 2.83888i) q^{76} +(4.86242 + 1.30288i) q^{77} +(-4.13611 + 15.4362i) q^{78} +(-2.35523 - 0.631083i) q^{79} +(-1.88700 - 1.19968i) q^{80} +(18.4157 + 31.8970i) q^{81} -3.92508i q^{82} +(0.907980 + 3.38863i) q^{83} +4.85762i q^{84} +(1.16608 - 1.83415i) q^{85} +(-1.02770 + 1.78002i) q^{86} +(-30.9903 + 17.8923i) q^{87} +3.50418i q^{88} +(8.16888 - 2.18884i) q^{89} +(-8.72379 - 16.7202i) q^{90} +(-6.55785 + 1.75717i) q^{91} +(2.20162 + 3.81332i) q^{92} +(-8.75623 - 15.1662i) q^{93} +(9.83111 - 2.63424i) q^{94} +(1.97035 - 6.26952i) q^{95} +(-3.26621 + 0.875179i) q^{96} +4.02372i q^{97} +(4.27496 - 2.46815i) q^{98} +(-14.7772 + 25.5949i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9}+O(q^{10}) \) 32 * q + 16 * q^2 - 2 * q^3 - 16 * q^4 + 6 * q^5 + 8 * q^6 - 10 * q^7 - 32 * q^8 + 12 * q^9	\( 32 q + 16 q^{2} - 2 q^{3} - 16 q^{4} + 6 q^{5} + 8 q^{6} - 10 q^{7} - 32 q^{8} + 12 q^{9} + 6 q^{10} + 10 q^{12} + 10 q^{13} - 8 q^{14} - 8 q^{15} - 16 q^{16} - 12 q^{17} + 12 q^{18} + 2 q^{19} - 54 q^{21} + 6 q^{22} + 12 q^{23} + 2 q^{24} - 16 q^{25} + 20 q^{26} + 40 q^{27} + 2 q^{28} + 6 q^{29} + 8 q^{30} - 4 q^{31} + 16 q^{32} + 26 q^{33} - 12 q^{34} - 12 q^{35} + 20 q^{37} - 26 q^{38} - 58 q^{39} - 6 q^{40} + 18 q^{41} - 54 q^{42} - 32 q^{43} + 6 q^{44} + 56 q^{45} + 6 q^{46} + 18 q^{47} - 8 q^{48} - 12 q^{49} - 14 q^{50} - 4 q^{51} + 10 q^{52} - 24 q^{53} + 20 q^{54} - 32 q^{55} + 10 q^{56} + 8 q^{57} + 36 q^{58} + 42 q^{59} + 16 q^{60} - 46 q^{61} - 14 q^{62} + 32 q^{64} - 18 q^{65} + 4 q^{66} + 50 q^{67} - 66 q^{69} + 12 q^{70} - 12 q^{71} - 12 q^{72} - 28 q^{73} + 16 q^{74} - 20 q^{75} - 28 q^{76} + 12 q^{77} - 26 q^{78} + 38 q^{79} - 6 q^{80} + 56 q^{81} - 8 q^{85} - 16 q^{86} + 18 q^{87} + 18 q^{89} + 4 q^{90} + 4 q^{91} - 6 q^{92} + 32 q^{93} + 30 q^{94} + 96 q^{95} - 10 q^{96} - 12 q^{98} - 26 q^{99}+O(q^{100}) \) 32 * q + 16 * q^2 - 2 * q^3 - 16 * q^4 + 6 * q^5 + 8 * q^6 - 10 * q^7 - 32 * q^8 + 12 * q^9 + 6 * q^10 + 10 * q^12 + 10 * q^13 - 8 * q^14 - 8 * q^15 - 16 * q^16 - 12 * q^17 + 12 * q^18 + 2 * q^19 - 54 * q^21 + 6 * q^22 + 12 * q^23 + 2 * q^24 - 16 * q^25 + 20 * q^26 + 40 * q^27 + 2 * q^28 + 6 * q^29 + 8 * q^30 - 4 * q^31 + 16 * q^32 + 26 * q^33 - 12 * q^34 - 12 * q^35 + 20 * q^37 - 26 * q^38 - 58 * q^39 - 6 * q^40 + 18 * q^41 - 54 * q^42 - 32 * q^43 + 6 * q^44 + 56 * q^45 + 6 * q^46 + 18 * q^47 - 8 * q^48 - 12 * q^49 - 14 * q^50 - 4 * q^51 + 10 * q^52 - 24 * q^53 + 20 * q^54 - 32 * q^55 + 10 * q^56 + 8 * q^57 + 36 * q^58 + 42 * q^59 + 16 * q^60 - 46 * q^61 - 14 * q^62 + 32 * q^64 - 18 * q^65 + 4 * q^66 + 50 * q^67 - 66 * q^69 + 12 * q^70 - 12 * q^71 - 12 * q^72 - 28 * q^73 + 16 * q^74 - 20 * q^75 - 28 * q^76 + 12 * q^77 - 26 * q^78 + 38 * q^79 - 6 * q^80 + 56 * q^81 - 8 * q^85 - 16 * q^86 + 18 * q^87 + 18 * q^89 + 4 * q^90 + 4 * q^91 - 6 * q^92 + 32 * q^93 + 30 * q^94 + 96 * q^95 - 10 * q^96 - 12 * q^98 - 26 * q^99

Introduction

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