LMFDB - Embedded newform 370.2.v.a.289.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(99,370)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(370, base_ring=CyclotomicField(18))

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("370.99");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.v (of order $18$, degree $6$, 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:	$60$
Relative dimension:	$10$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			289.9
Character	$\chi$	$=$	370.289
Dual form			370.2.v.a.169.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.939693 + 0.342020i) q^{2} +(1.00832 - 2.77035i) q^{3} +(0.766044 - 0.642788i) q^{4} +(0.557866 - 2.16536i) q^{5} +2.94814i q^{6} +(-3.81365 + 0.672450i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-4.35998 - 3.65846i) q^{9} +O(q^{10})$	\(q+(-0.939693 + 0.342020i) q^{2} +(1.00832 - 2.77035i) q^{3} +(0.766044 - 0.642788i) q^{4} +(0.557866 - 2.16536i) q^{5} +2.94814i q^{6} +(-3.81365 + 0.672450i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-4.35998 - 3.65846i) q^{9} +(0.216374 + 2.22557i) q^{10} +(0.398832 - 0.690798i) q^{11} +(-1.00832 - 2.77035i) q^{12} +(2.06626 - 1.73380i) q^{13} +(3.35367 - 1.93624i) q^{14} +(-5.43629 - 3.72887i) q^{15} +(0.173648 - 0.984808i) q^{16} +(0.125279 + 0.105121i) q^{17} +(5.34831 + 1.94663i) q^{18} +(-1.41140 + 3.87778i) q^{19} +(-0.964516 - 2.01735i) q^{20} +(-1.98248 + 11.2432i) q^{21} +(-0.138513 + 0.785546i) q^{22} +(3.01846 + 5.22813i) q^{23} +(1.89503 + 2.25841i) q^{24} +(-4.37757 - 2.41596i) q^{25} +(-1.34865 + 2.33594i) q^{26} +(-6.87199 + 3.96754i) q^{27} +(-2.48918 + 2.96649i) q^{28} +(0.297824 + 0.171949i) q^{29} +(6.38379 + 1.64467i) q^{30} -8.59147i q^{31} +(0.173648 + 0.984808i) q^{32} +(-1.51160 - 1.80145i) q^{33} +(-0.153677 - 0.0559338i) q^{34} +(-0.671412 + 8.63307i) q^{35} -5.69155 q^{36} +(-2.54961 - 5.52264i) q^{37} -4.12665i q^{38} +(-2.71976 - 7.47248i) q^{39} +(1.59632 + 1.56581i) q^{40} +(8.50186 - 7.13391i) q^{41} +(-1.98248 - 11.2432i) q^{42} +9.32357 q^{43} +(-0.138513 - 0.785546i) q^{44} +(-10.3542 + 7.40000i) q^{45} +(-4.62455 - 3.88046i) q^{46} +(-6.52052 + 3.76462i) q^{47} +(-2.55317 - 1.47407i) q^{48} +(7.51390 - 2.73484i) q^{49} +(4.93988 + 0.773045i) q^{50} +(0.417544 - 0.241069i) q^{51} +(0.468383 - 2.65633i) q^{52} +(-6.98232 - 1.23117i) q^{53} +(5.10058 - 6.07863i) q^{54} +(-1.27333 - 1.24899i) q^{55} +(1.32447 - 3.63894i) q^{56} +(9.31966 + 7.82012i) q^{57} +(-0.338673 - 0.0597171i) q^{58} +(-4.82650 - 0.851041i) q^{59} +(-6.56131 + 0.637902i) q^{60} +(-5.93727 - 7.07577i) q^{61} +(2.93846 + 8.07334i) q^{62} +(19.0876 + 11.0202i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-2.60160 - 5.44142i) q^{65} +(2.03657 + 1.17582i) q^{66} +(8.06169 - 1.42149i) q^{67} +0.163540 q^{68} +(17.5273 - 3.09054i) q^{69} +(-2.32176 - 8.34207i) q^{70} +(5.42285 + 1.97375i) q^{71} +(5.34831 - 1.94663i) q^{72} -7.77329i q^{73} +(4.28470 + 4.31756i) q^{74} +(-11.1071 + 9.69132i) q^{75} +(1.41140 + 3.87778i) q^{76} +(-1.05648 + 2.90266i) q^{77} +(5.11148 + 6.09163i) q^{78} +(9.00388 - 1.58763i) q^{79} +(-2.03559 - 0.925402i) q^{80} +(1.09730 + 6.22312i) q^{81} +(-5.54920 + 9.61149i) q^{82} +(-5.14370 + 6.13003i) q^{83} +(5.70832 + 9.88710i) q^{84} +(0.297514 - 0.212630i) q^{85} +(-8.76129 + 3.18885i) q^{86} +(0.776661 - 0.651696i) q^{87} +(0.398832 + 0.690798i) q^{88} +(6.57356 + 1.15910i) q^{89} +(7.19879 - 10.4951i) q^{90} +(-6.71410 + 8.00155i) q^{91} +(5.67285 + 2.06475i) q^{92} +(-23.8014 - 8.66299i) q^{93} +(4.83971 - 5.76774i) q^{94} +(7.60942 + 5.21947i) q^{95} +(2.90336 + 0.511940i) q^{96} +(-7.58170 - 13.1319i) q^{97} +(-6.12539 + 5.13981i) q^{98} +(-4.26616 + 1.55275i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9}+O(q^{10}) $ 60 * q - 3 * q^5 - 30 * q^8 - 6 * q^9	$ 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9} + 9 q^{10} + 6 q^{11} - 3 q^{13} + 9 q^{14} + 18 q^{15} + 3 q^{17} + 12 q^{18} + 3 q^{19} - 6 q^{20} + 12 q^{21} - 3 q^{22} - 18 q^{23} - 15 q^{25} - 27 q^{26} + 6 q^{30} - 66 q^{33} + 21 q^{34} - 3 q^{35} - 72 q^{36} + 6 q^{37} + 12 q^{39} + 6 q^{40} - 57 q^{41} + 12 q^{42} + 60 q^{43} - 3 q^{44} + 45 q^{45} - 21 q^{46} - 18 q^{47} - 6 q^{49} + 36 q^{50} - 3 q^{52} - 6 q^{53} + 3 q^{55} + 30 q^{57} + 15 q^{58} - 12 q^{59} + 9 q^{60} + 42 q^{61} - 12 q^{62} - 9 q^{63} - 30 q^{64} - 30 q^{65} - 18 q^{67} - 24 q^{68} + 36 q^{69} + 18 q^{71} + 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} + 21 q^{77} + 6 q^{78} - 24 q^{79} - 36 q^{81} + 27 q^{82} + 30 q^{83} + 12 q^{84} + 33 q^{85} - 18 q^{86} - 30 q^{87} + 6 q^{88} + 3 q^{89} - 3 q^{90} + 57 q^{91} + 15 q^{92} + 60 q^{93} + 3 q^{94} - 150 q^{95} + 84 q^{97} - 6 q^{98} - 45 q^{99}+O(q^{100}) $ 60 * q - 3 * q^5 - 30 * q^8 - 6 * q^9 + 9 * q^10 + 6 * q^11 - 3 * q^13 + 9 * q^14 + 18 * q^15 + 3 * q^17 + 12 * q^18 + 3 * q^19 - 6 * q^20 + 12 * q^21 - 3 * q^22 - 18 * q^23 - 15 * q^25 - 27 * q^26 + 6 * q^30 - 66 * q^33 + 21 * q^34 - 3 * q^35 - 72 * q^36 + 6 * q^37 + 12 * q^39 + 6 * q^40 - 57 * q^41 + 12 * q^42 + 60 * q^43 - 3 * q^44 + 45 * q^45 - 21 * q^46 - 18 * q^47 - 6 * q^49 + 36 * q^50 - 3 * q^52 - 6 * q^53 + 3 * q^55 + 30 * q^57 + 15 * q^58 - 12 * q^59 + 9 * q^60 + 42 * q^61 - 12 * q^62 - 9 * q^63 - 30 * q^64 - 30 * q^65 - 18 * q^67 - 24 * q^68 + 36 * q^69 + 18 * q^71 + 12 * q^72 + 3 * q^74 - 78 * q^75 - 3 * q^76 + 21 * q^77 + 6 * q^78 - 24 * q^79 - 36 * q^81 + 27 * q^82 + 30 * q^83 + 12 * q^84 + 33 * q^85 - 18 * q^86 - 30 * q^87 + 6 * q^88 + 3 * q^89 - 3 * q^90 + 57 * q^91 + 15 * q^92 + 60 * q^93 + 3 * q^94 - 150 * q^95 + 84 * q^97 - 6 * q^98 - 45 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{7}{18}\right)$	$-1$

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 $

$2$	−0.939693	+	0.342020i	−0.664463	+	0.241845i
$2$	−0.939693	+	0.342020i	−0.664463	+	0.241845i
$3$	1.00832	−	2.77035i	0.582157	−	1.59946i	−0.202331	−	0.979317i	$-0.564852\pi$
$3$	1.00832	−	2.77035i	0.582157	−	1.59946i	0.784487	−	0.620145i	$-0.212926\pi$
$4$	0.766044	−	0.642788i	0.383022	−	0.321394i
$5$	0.557866	−	2.16536i	0.249485	−	0.968379i
$5$	0.557866	−	2.16536i	0.249485	−	0.968379i
$6$			2.94814i			1.20357i
$7$	−3.81365	+	0.672450i	−1.44142	+	0.254162i	−0.839051	−	0.544052i	$-0.816889\pi$
$7$	−3.81365	+	0.672450i	−1.44142	+	0.254162i	−0.602374	+	0.798214i	$0.705778\pi$
$8$	−0.500000	+	0.866025i	−0.176777	+	0.306186i
$9$	−4.35998	−	3.65846i	−1.45333	−	1.21949i
$10$	0.216374	+	2.22557i	0.0684235	+	0.703788i
$11$	0.398832	−	0.690798i	0.120252	−	0.208283i	−0.799615	−	0.600513i	$-0.794963\pi$
$11$	0.398832	−	0.690798i	0.120252	−	0.208283i	0.919867	+	0.392230i	$0.128296\pi$
$12$	−1.00832	−	2.77035i	−0.291078	−	0.799731i
$13$	2.06626	−	1.73380i	0.573077	−	0.480868i	−0.309589	−	0.950871i	$-0.600191\pi$
$13$	2.06626	−	1.73380i	0.573077	−	0.480868i	0.882665	+	0.470002i	$0.155747\pi$
$14$	3.35367	−	1.93624i	0.896306	−	0.517482i
$15$	−5.43629	−	3.72887i	−1.40365	−	0.962790i
$16$	0.173648	−	0.984808i	0.0434120	−	0.246202i
$17$	0.125279	+	0.105121i	0.0303845	+	0.0254956i	0.657853	−	0.753146i	$-0.271465\pi$
$17$	0.125279	+	0.105121i	0.0303845	+	0.0254956i	−0.627469	+	0.778642i	$0.715909\pi$
$18$	5.34831	+	1.94663i	1.26061	+	0.458824i
$19$	−1.41140	+	3.87778i	−0.323797	+	0.889624i	0.665848	+	0.746087i	$0.268070\pi$
$19$	−1.41140	+	3.87778i	−0.323797	+	0.889624i	−0.989645	+	0.143537i	$0.954152\pi$
$20$	−0.964516	−	2.01735i	−0.215672	−	0.451094i
$21$	−1.98248	+	11.2432i	−0.432612	+	2.45347i
$22$	−0.138513	+	0.785546i	−0.0295311	+	0.167479i
$23$	3.01846	+	5.22813i	0.629393	+	1.09014i	0.987674	+	0.156527i	$0.0500297\pi$
$23$	3.01846	+	5.22813i	0.629393	+	1.09014i	−0.358281	+	0.933614i	$0.616637\pi$
$24$	1.89503	+	2.25841i	0.386821	+	0.460996i
$25$	−4.37757	−	2.41596i	−0.875514	−	0.483193i
$26$	−1.34865	+	2.33594i	−0.264493	+	0.458115i
$27$	−6.87199	+	3.96754i	−1.32251	+	0.763554i
$28$	−2.48918	+	2.96649i	−0.470412	+	0.560615i
$29$	0.297824	+	0.171949i	0.0553045	+	0.0319301i	0.527397	−	0.849619i	$-0.323168\pi$
$29$	0.297824	+	0.171949i	0.0553045	+	0.0319301i	−0.472093	+	0.881549i	$0.656501\pi$
$30$	6.38379	+	1.64467i	1.16552	+	0.300274i
$31$		−	8.59147i		−	1.54307i	−0.636184	−	0.771537i	$-0.719488\pi$
$31$		−	8.59147i		−	1.54307i	0.636184	−	0.771537i	$-0.280512\pi$
$32$	0.173648	+	0.984808i	0.0306970	+	0.174091i
$33$	−1.51160	−	1.80145i	−0.263136	−	0.313593i
$34$	−0.153677	−	0.0559338i	−0.0263554	−	0.00959257i
$35$	−0.671412	+	8.63307i	−0.113489	+	1.45925i
$36$	−5.69155			−0.948592
$37$	−2.54961	−	5.52264i	−0.419153	−	0.907916i
$37$	−2.54961	−	5.52264i	−0.419153	−	0.907916i
$38$		−	4.12665i		−	0.669431i
$39$	−2.71976	−	7.47248i	−0.435510	−	1.19656i
$40$	1.59632	+	1.56581i	0.252401	+	0.247576i
$41$	8.50186	−	7.13391i	1.32777	−	1.11413i	0.343174	−	0.939272i	$-0.388498\pi$
$41$	8.50186	−	7.13391i	1.32777	−	1.11413i	0.984594	−	0.174858i	$-0.0559466\pi$
$42$	−1.98248	−	11.2432i	−0.305903	−	1.73486i
$43$	9.32357			1.42183			0.710915	−	0.703278i	$-0.248281\pi$
$43$	9.32357			1.42183			0.710915	+	0.703278i	$0.248281\pi$
$44$	−0.138513	−	0.785546i	−0.0208816	−	0.118426i
$45$	−10.3542	+	7.40000i	−1.54351	+	1.10313i
$46$	−4.62455	−	3.88046i	−0.681853	−	0.572143i
$47$	−6.52052	+	3.76462i	−0.951115	+	0.549127i	−0.893427	−	0.449208i	$-0.851706\pi$
$47$	−6.52052	+	3.76462i	−0.951115	+	0.549127i	−0.0576880	+	0.998335i	$0.518373\pi$
$48$	−2.55317	−	1.47407i	−0.368518	−	0.212764i
$49$	7.51390	−	2.73484i	1.07341	−	0.390691i
$50$	4.93988	+	0.773045i	0.698604	+	0.109325i
$51$	0.417544	−	0.241069i	0.0584678	−	0.0337564i
$52$	0.468383	−	2.65633i	0.0649530	−	0.368367i
$53$	−6.98232	−	1.23117i	−0.959095	−	0.169114i	−0.327877	−	0.944720i	$-0.606333\pi$
$53$	−6.98232	−	1.23117i	−0.959095	−	0.169114i	−0.631217	+	0.775606i	$0.717444\pi$
$54$	5.10058	−	6.07863i	0.694100	−	0.827197i
$55$	−1.27333	−	1.24899i	−0.171696	−	0.168414i
$56$	1.32447	−	3.63894i	0.176989	−	0.486274i
$57$	9.31966	+	7.82012i	1.23442	+	1.03580i
$58$	−0.338673	−	0.0597171i	−0.0444699	−	0.00784124i
$59$	−4.82650	−	0.851041i	−0.628356	−	0.110796i	−0.149604	−	0.988746i	$-0.547800\pi$
$59$	−4.82650	−	0.851041i	−0.628356	−	0.110796i	−0.478753	+	0.877950i	$0.658911\pi$
$60$	−6.56131	+	0.637902i	−0.847062	+	0.0823528i
$61$	−5.93727	−	7.07577i	−0.760190	−	0.905959i	0.237670	−	0.971346i	$-0.423616\pi$
$61$	−5.93727	−	7.07577i	−0.760190	−	0.905959i	−0.997860	+	0.0653869i	$0.979172\pi$
$62$	2.93846	+	8.07334i	0.373184	+	1.02532i
$63$	19.0876	+	11.0202i	2.40481	+	1.38842i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	−2.60160	−	5.44142i	−0.322688	−	0.674925i
$66$	2.03657	+	1.17582i	0.250685	+	0.144733i
$67$	8.06169	−	1.42149i	0.984892	−	0.173663i	0.342067	−	0.939676i	$-0.388873\pi$
$67$	8.06169	−	1.42149i	0.984892	−	0.173663i	0.642825	+	0.766013i	$0.277762\pi$
$68$	0.163540			0.0198321
$69$	17.5273	−	3.09054i	2.11004	−	0.372058i
$70$	−2.32176	−	8.34207i	−0.277504	−	0.997068i
$71$	5.42285	+	1.97375i	0.643573	+	0.234242i	0.643128	−	0.765758i	$-0.277636\pi$
$71$	5.42285	+	1.97375i	0.643573	+	0.234242i	0.000444939		1.00000i	$0.499858\pi$
$72$	5.34831	−	1.94663i	0.630304	−	0.229412i
$73$		−	7.77329i		−	0.909794i	−0.890544	−	0.454897i	$-0.849676\pi$
$73$		−	7.77329i		−	0.909794i	0.890544	−	0.454897i	$-0.150324\pi$
$74$	4.28470	+	4.31756i	0.498086	+	0.501907i
$75$	−11.1071	+	9.69132i	−1.28253	+	1.11906i
$76$	1.41140	+	3.87778i	0.161898	+	0.444812i
$77$	−1.05648	+	2.90266i	−0.120397	+	0.330788i
$78$	5.11148	+	6.09163i	0.578761	+	0.689741i
$79$	9.00388	−	1.58763i	1.01302	−	0.178622i	0.357588	−	0.933880i	$-0.383599\pi$
$79$	9.00388	−	1.58763i	1.01302	−	0.178622i	0.655428	+	0.755258i	$0.272488\pi$
$80$	−2.03559	−	0.925402i	−0.227586	−	0.103463i
$81$	1.09730	+	6.22312i	0.121923	+	0.691458i
$82$	−5.54920	+	9.61149i	−0.612806	+	1.06141i
$83$	−5.14370	+	6.13003i	−0.564595	+	0.672858i	−0.970512	−	0.241052i	$-0.922508\pi$
$83$	−5.14370	+	6.13003i	−0.564595	+	0.672858i	0.405917	+	0.913910i	$0.366952\pi$
$84$	5.70832	+	9.88710i	0.622829	+	1.07877i
$85$	0.297514	−	0.212630i	0.0322699	−	0.0230629i
$86$	−8.76129	+	3.18885i	−0.944754	+	0.343862i
$87$	0.776661	−	0.651696i	0.0832668	−	0.0698691i
$88$	0.398832	+	0.690798i	0.0425157	+	0.0736393i
$89$	6.57356	+	1.15910i	0.696796	+	0.122864i	0.510817	−	0.859690i	$-0.329343\pi$
$89$	6.57356	+	1.15910i	0.696796	+	0.122864i	0.185980	+	0.982554i	$0.440454\pi$
$90$	7.19879	−	10.4951i	0.758819	−	1.10628i
$91$	−6.71410	+	8.00155i	−0.703829	+	0.838790i
$92$	5.67285	+	2.06475i	0.591436	+	0.215265i
$93$	−23.8014	−	8.66299i	−2.46809	−	0.898311i
$94$	4.83971	−	5.76774i	0.499177	−	0.594897i
$95$	7.60942	+	5.21947i	0.780710	+	0.535506i
$96$	2.90336	+	0.511940i	0.296322	+	0.0522496i
$97$	−7.58170	−	13.1319i	−0.769805	−	1.33334i	−0.937668	−	0.347531i	$-0.887020\pi$
$97$	−7.58170	−	13.1319i	−0.769805	−	1.33334i	0.167863	−	0.985810i	$-0.446313\pi$
$98$	−6.12539	+	5.13981i	−0.618758	+	0.519200i
$99$	−4.26616	+	1.55275i	−0.428765	+	0.156058i
$100$	−4.90636	+	0.963113i	−0.490636	+	0.0963113i
$101$	6.68724	+	11.5826i	0.665405	+	1.15252i	0.979175	+	0.203016i	$0.0650745\pi$
$101$	6.68724	+	11.5826i	0.665405	+	1.15252i	−0.313770	+	0.949499i	$0.601592\pi$
$102$	−0.309912	+	0.369339i	−0.0306859	+	0.0365700i
$103$	−5.82874	+	10.0957i	−0.574323	+	0.994756i	0.421792	+	0.906692i	$0.361401\pi$
$103$	−5.82874	+	10.0957i	−0.574323	+	0.994756i	−0.996115	+	0.0880634i	$0.971932\pi$
$104$	0.468383	+	2.65633i	0.0459287	+	0.260475i
$105$	23.2396	+	10.5650i	2.26795	+	1.03104i
$106$	6.98232	−	1.23117i	0.678182	−	0.119582i
$107$	8.90238	+	10.6094i	0.860626	+	1.02565i	0.999376	+	0.0353266i	$0.0112472\pi$
$107$	8.90238	+	10.6094i	0.860626	+	1.02565i	−0.138750	+	0.990327i	$0.544308\pi$
$108$	−2.71396	+	7.45654i	−0.261151	+	0.717506i
$109$	−2.18848	−	6.01281i	−0.209619	−	0.575922i	0.789674	−	0.613527i	$-0.210250\pi$
$109$	−2.18848	−	6.01281i	−0.209619	−	0.575922i	−0.999293	+	0.0376041i	$0.988027\pi$
$110$	1.62372	+	0.738160i	0.154816	+	0.0703808i
$111$	−17.8705	+	1.49469i	−1.69619	+	0.141870i
$112$			3.87248i			0.365915i
$113$	17.5128	−	6.37414i	1.64747	−	0.599629i	0.659146	−	0.752015i	$-0.270918\pi$
$113$	17.5128	−	6.37414i	1.64747	−	0.599629i	0.988321	+	0.152386i	$0.0486957\pi$
$114$	−11.4323	−	4.16100i	−1.07073	−	0.389713i
$115$	13.0047	−	3.61946i	1.21269	−	0.337516i
$116$	0.338673	−	0.0597171i	0.0314450	−	0.00554460i
$117$	−15.3519			−1.41928
$118$	4.82650	−	0.851041i	0.444315	−	0.0783447i
$119$	−0.548458	−	0.316652i	−0.0502770	−	0.0290274i
$120$	5.94744	−	2.84353i	0.542925	−	0.259578i
$121$	5.18187	+	8.97525i	0.471079	+	0.815932i
$122$	7.99927	+	4.61838i	0.724220	+	0.418128i
$123$	−11.1908	−	30.7464i	−1.00904	−	2.77231i
$124$	−5.52249	−	6.58145i	−0.495934	−	0.591032i
$125$	−7.67353	+	8.13123i	−0.686341	+	0.727280i
$126$	−21.7056	−	3.82728i	−1.93369	−	0.340962i
$127$	14.1327	+	2.49197i	1.25407	+	0.221127i	0.760937	−	0.648825i	$-0.224739\pi$
$127$	14.1327	+	2.49197i	1.25407	+	0.221127i	0.493136	+	0.869952i	$0.335851\pi$
$128$	0.766044	+	0.642788i	0.0677094	+	0.0568149i
$129$	9.40118	−	25.8295i	0.827728	−	2.27416i
$130$	4.30578	+	4.22346i	0.377642	+	0.370422i
$131$	2.66320	−	3.17388i	0.232685	−	0.277303i	−0.637050	−	0.770823i	$-0.719845\pi$
$131$	2.66320	−	3.17388i	0.232685	−	0.277303i	0.869735	+	0.493520i	$0.164290\pi$
$132$	−2.31590	−	0.408356i	−0.201574	−	0.0355429i
$133$	2.77496	−	15.7376i	0.240620	−	1.36462i
$134$	−7.08933	+	4.09303i	−0.612425	+	0.353584i
$135$	4.75751	+	17.0937i	0.409461	+	1.47119i
$136$	−0.153677	+	0.0559338i	−0.0131777	+	0.00479629i
$137$	18.2905	+	10.5600i	1.56266	+	0.902202i	0.996987	+	0.0775718i	$0.0247167\pi$
$137$	18.2905	+	10.5600i	1.56266	+	0.902202i	0.565673	+	0.824630i	$0.308617\pi$
$138$	−15.4133	+	8.89886i	−1.31207	+	0.757521i
$139$	−5.04858	−	4.23626i	−0.428215	−	0.359315i	0.403063	−	0.915172i	$-0.367946\pi$
$139$	−5.04858	−	4.23626i	−0.428215	−	0.359315i	−0.831278	+	0.555857i	$0.812390\pi$
$140$	5.03490	+	7.04489i	0.425527	+	0.595402i
$141$	3.85452	+	21.8601i	0.324609	+	1.84095i
$142$	−5.77087			−0.484281
$143$	−0.373612	−	2.11886i	−0.0312430	−	0.177188i
$144$	−4.35998	+	3.65846i	−0.363332	+	0.304872i
$145$	0.538476	−	0.548971i	0.0447180	−	0.0455896i
$146$	2.65862	+	7.30450i	0.220029	+	0.604525i
$147$		−	23.5737i		−	1.94433i
$148$	−5.50299	−	2.59173i	−0.452343	−	0.213039i
$149$	6.23024			0.510401			0.255200	−	0.966888i	$-0.417859\pi$
$149$	6.23024			0.510401			0.255200	+	0.966888i	$0.417859\pi$
$150$	7.12261	−	12.9057i	0.581558	−	1.05375i
$151$	−0.747866	−	0.272201i	−0.0608605	−	0.0221514i	0.311411	−	0.950275i	$-0.399199\pi$
$151$	−0.747866	−	0.272201i	−0.0608605	−	0.0221514i	−0.372271	+	0.928124i	$0.621421\pi$
$152$	−2.65256	−	3.16120i	−0.215151	−	0.256407i
$153$	−0.161631	−	0.916653i	−0.0130671	−	0.0741070i
$154$		−	3.08894i		−	0.248914i
$155$	−18.6036	−	4.79289i	−1.49428	−	0.384974i
$156$	−6.88668	−	3.97603i	−0.551376	−	0.318337i
$157$	−2.07228	+	2.46965i	−0.165386	+	0.197099i	−0.842372	−	0.538897i	$-0.818841\pi$
$157$	−2.07228	+	2.46965i	−0.165386	+	0.197099i	0.676986	+	0.735996i	$0.263286\pi$
$158$	−7.91788	+	4.57139i	−0.629913	+	0.363680i
$159$	−10.4512	+	18.1020i	−0.828835	+	1.43558i
$160$	2.22934	+	0.173380i	0.176244	+	0.0137069i
$161$	−15.0270	−	17.9085i	−1.18429	−	1.41139i
$162$	−3.15956	−	5.47252i	−0.248238	−	0.429962i
$163$	1.47444	−	8.36199i	0.115487	−	0.654962i	−0.871020	−	0.491247i	$-0.836541\pi$
$163$	1.47444	−	8.36199i	0.115487	−	0.654962i	0.986508	−	0.163715i	$-0.0523476\pi$
$164$	1.92722	−	10.9298i	0.150490	−	0.853473i
$165$	−4.74407	+	2.26819i	−0.369325	+	0.176578i
$166$	2.73691	−	7.51959i	0.212425	−	0.583634i
$167$	−18.9774	−	6.90722i	−1.46852	−	0.534496i	−0.520820	−	0.853667i	$-0.674374\pi$
$167$	−18.9774	−	6.90722i	−1.46852	−	0.534496i	−0.947697	+	0.319170i	$0.896596\pi$
$168$	−8.74565	−	7.33847i	−0.674742	−	0.566176i
$169$	−0.994054	+	5.63756i	−0.0764657	+	0.433659i
$170$	−0.206848	+	0.301562i	−0.0158645	+	0.0231288i
$171$	20.3404	−	11.7435i	1.55547	−	0.898049i
$172$	7.14227	−	5.99307i	0.544593	−	0.456968i
$173$	4.26227	+	11.7105i	0.324054	+	0.890332i	0.989584	+	0.143960i	$0.0459837\pi$
$173$	4.26227	+	11.7105i	0.324054	+	0.890332i	−0.665529	+	0.746372i	$0.731794\pi$
$174$	−0.506929	+	0.878027i	−0.0384302	+	0.0665631i
$175$	18.3191	+	6.26994i	1.38480	+	0.473963i
$176$	−0.611047	−	0.512729i	−0.0460594	−	0.0386484i
$177$	−7.22436	+	12.5130i	−0.543016	+	0.940531i
$178$	−6.57356	+	1.15910i	−0.492709	+	0.0868780i
$179$			2.36988i			0.177133i	0.996070	+	0.0885666i	$0.0282286\pi$
$179$			2.36988i			0.177133i	−0.996070	+	0.0885666i	$0.971771\pi$
$180$	−3.17513	+	12.3243i	−0.236660	+	0.918596i
$181$	−7.43805	+	6.24127i	−0.552866	+	0.463910i	−0.875910	−	0.482474i	$-0.839738\pi$
$181$	−7.43805	+	6.24127i	−0.552866	+	0.463910i	0.323044	+	0.946384i	$0.395294\pi$
$182$	3.57250	−	9.81535i	0.264811	−	0.727562i
$183$	−25.5890	+	9.31365i	−1.89160	+	0.688485i
$184$	−6.03692			−0.445048
$185$	−13.3808	+	2.43993i	−0.983779	+	0.179387i
$186$	25.3289			1.85721
$187$	0.122583	−	0.0446164i	0.00896413	−	0.00326268i
$188$	−2.57515	+	7.07518i	−0.187812	+	0.516010i
$189$	23.5394	−	19.7519i	1.71224	−	1.43674i
$190$	−8.93568	−	2.30212i	−0.648262	−	0.167013i
$191$		−	11.8501i		−	0.857442i	−0.903437	−	0.428721i	$-0.858964\pi$
$191$		−	11.8501i		−	0.857442i	0.903437	−	0.428721i	$-0.141036\pi$
$192$	−2.90336	+	0.511940i	−0.209532	+	0.0369461i
$193$	2.57663	−	4.46286i	0.185470	−	0.321244i	−0.758265	−	0.651947i	$-0.773953\pi$
$193$	2.57663	−	4.46286i	0.185470	−	0.321244i	0.943735	+	0.330703i	$0.107286\pi$
$194$	11.6158	+	9.74685i	0.833969	+	0.699783i
$195$	−17.6979	+	1.72062i	−1.26737	+	0.123216i
$196$	3.99806	−	6.92485i	0.285576	−	0.494632i
$197$	6.17205	+	16.9576i	0.439740	+	1.20818i	0.939661	+	0.342106i	$0.111140\pi$
$197$	6.17205	+	16.9576i	0.439740	+	1.20818i	−0.499921	+	0.866071i	$0.666638\pi$
$198$	3.47780	−	2.91822i	0.247157	−	0.207389i
$199$	−10.4514	+	6.03411i	−0.740879	+	0.427747i	−0.822389	−	0.568926i	$-0.807359\pi$
$199$	−10.4514	+	6.03411i	−0.740879	+	0.427747i	0.0815096	+	0.996673i	$0.474026\pi$
$200$	4.28107	−	2.58311i	0.302717	−	0.182653i
$201$	4.19077	−	23.7670i	0.295594	−	1.67640i
$202$	−10.2454	−	8.59695i	−0.720867	−	0.604879i
$203$	−1.25142	−	0.455481i	−0.0878327	−	0.0319685i
$204$	0.164901	−	0.453062i	0.0115454	−	0.0317207i
$205$	−10.7046	−	22.3894i	−0.747641	−	1.56374i
$206$	2.02430	−	11.4804i	0.141040	−	0.799875i
$207$	5.96646	−	33.8375i	0.414698	−	2.35187i
$208$	−1.34865	−	2.33594i	−0.0935123	−	0.161968i
$209$	2.11585	+	2.52157i	0.146357	+	0.174421i
$210$	−25.4515	−	1.97942i	−1.75632	−	0.136593i
$211$	0.743877	−	1.28843i	0.0512106	−	0.0886994i	−0.839284	−	0.543694i	$-0.817025\pi$
$211$	0.743877	−	1.28843i	0.0512106	−	0.0886994i	0.890494	+	0.454994i	$0.150359\pi$
$212$	−6.14015	+	3.54501i	−0.421707	+	0.243473i
$213$	10.9360	−	13.0330i	0.749321	−	0.893006i
$214$	−11.9941	−	6.92483i	−0.819903	−	0.473371i
$215$	5.20130	−	20.1889i	0.354726	−	1.37687i
$216$		−	7.93509i		−	0.539914i
$217$	5.77733	+	32.7649i	0.392191	+	2.22423i
$218$	4.11300	+	4.90169i	0.278568	+	0.331984i
$219$	−21.5347	−	7.83800i	−1.45518	−	0.529643i
$220$	−1.77826	−	0.138299i	−0.119890	−	0.00932413i
$221$	0.441116			0.0296727
$222$	16.2815	−	7.51661i	1.09274	−	0.504482i
$223$		−	15.5050i		−	1.03829i	−0.854685	−	0.519147i	$-0.826250\pi$
$223$		−	15.5050i		−	1.03829i	0.854685	−	0.519147i	$-0.173750\pi$
$224$	−1.32447	−	3.63894i	−0.0884947	−	0.243137i
$225$	10.2474	+	26.5487i	0.683162	+	1.76991i
$226$	−14.2766	+	11.9795i	−0.949664	+	0.796863i
$227$	−0.436526	−	2.47566i	−0.0289732	−	0.164315i	0.966888	−	0.255200i	$-0.0821415\pi$
$227$	−0.436526	−	2.47566i	−0.0289732	−	0.164315i	−0.995861	+	0.0908852i	$0.971030\pi$
$228$	12.1660			0.805710
$229$	2.42144	+	13.7326i	0.160013	+	0.907478i	0.954059	+	0.299620i	$0.0968600\pi$
$229$	2.42144	+	13.7326i	0.160013	+	0.907478i	−0.794046	+	0.607858i	$0.792029\pi$
$230$	−10.9825	+	7.84904i	−0.724163	+	0.517551i
$231$	6.97610	+	5.85364i	0.458994	+	0.385141i
$232$	−0.297824	+	0.171949i	−0.0195531	+	0.0112890i
$233$	−8.61561	−	4.97423i	−0.564428	−	0.325872i	0.190493	−	0.981689i	$-0.438991\pi$
$233$	−8.61561	−	4.97423i	−0.564428	−	0.325872i	−0.754921	+	0.655816i	$0.772325\pi$
$234$	14.4260	−	5.25065i	0.943060	−	0.343246i
$235$	4.51419	+	16.2194i	0.294473	+	1.05804i
$236$	−4.24435	+	2.45048i	−0.276284	+	0.159512i
$237$	4.68055	−	26.5447i	0.304035	−	1.72427i
$238$	0.623683	+	0.109972i	0.0404274	+	0.00712843i
$239$	−10.9231	+	13.0176i	−0.706554	+	0.842038i	−0.993251	−	0.115983i	$-0.962998\pi$
$239$	−10.9231	+	13.0176i	−0.706554	+	0.842038i	0.286698	+	0.958021i	$0.407443\pi$
$240$	−4.61622	+	4.70619i	−0.297976	+	0.303783i
$241$	−5.50076	+	15.1132i	−0.354335	+	0.973528i	0.626625	+	0.779321i	$0.284436\pi$
$241$	−5.50076	+	15.1132i	−0.354335	+	0.973528i	−0.980961	+	0.194207i	$0.937787\pi$
$242$	−7.93908	−	6.66168i	−0.510343	−	0.428229i
$243$	−5.09696	−	0.898731i	−0.326970	−	0.0576536i
$244$	−9.09643	−	1.60395i	−0.582339	−	0.102682i
$245$	−1.73016	−	17.7960i	−0.110536	−	1.13694i
$246$	21.0318	+	25.0647i	1.34094	+	1.59807i
$247$	3.80697	+	10.4596i	0.242232	+	0.665526i
$248$	7.44043	+	4.29574i	0.472468	+	0.272780i
$249$	11.7958	+	20.4309i	0.747528	+	1.29476i
$250$	4.42971	−	10.2654i	0.280160	−	0.649238i
$251$	2.24068	+	1.29366i	0.141431	+	0.0816550i	0.569046	−	0.822306i	$-0.307313\pi$
$251$	2.24068	+	1.29366i	0.141431	+	0.0816550i	−0.427615	+	0.903961i	$0.640646\pi$
$252$	21.7056	−	3.82728i	1.36732	−	0.241096i
$253$	4.81544			0.302744
$254$	−14.1327	+	2.49197i	−0.886764	+	0.156360i
$255$	−0.289068	−	1.03862i	−0.0181021	−	0.0650407i
$256$	−0.939693	−	0.342020i	−0.0587308	−	0.0213763i
$257$	19.5474	−	7.11468i	1.21934	−	0.443802i	0.349403	−	0.936973i	$-0.386385\pi$
$257$	19.5474	−	7.11468i	1.21934	−	0.443802i	0.869932	+	0.493171i	$0.164162\pi$
$258$			27.4872i			1.71128i
$259$	13.4370	+	19.3469i	0.834935	+	1.20216i
$260$	−5.49062	−	2.49609i	−0.340514	−	0.154801i
$261$	−0.669439	−	1.83927i	−0.0414372	−	0.113848i
$262$	−1.41706	+	3.89334i	−0.0875462	+	0.240531i
$263$	6.47713	+	7.71914i	0.399397	+	0.475982i	0.927836	−	0.372989i	$-0.121667\pi$
$263$	6.47713	+	7.71914i	0.399397	+	0.475982i	−0.528439	+	0.848971i	$0.677223\pi$
$264$	2.31590	−	0.408356i	0.142534	−	0.0251326i
$265$	−6.56113	+	14.4324i	−0.403047	+	0.886575i
$266$	2.77496	+	15.7376i	0.170144	+	0.964934i
$267$	9.83939	−	17.0423i	0.602161	−	1.04297i
$268$	5.26189	−	6.27088i	0.321421	−	0.383055i
$269$	−7.73859	−	13.4036i	−0.471830	−	0.817234i	0.527650	−	0.849462i	$-0.323073\pi$
$269$	−7.73859	−	13.4036i	−0.471830	−	0.817234i	−0.999481	+	0.0322277i	$0.989740\pi$
$270$	−10.3170	−	14.4356i	−0.627872	−	0.878525i
$271$	−17.9814	+	6.54471i	−1.09229	+	0.397563i	−0.824470	−	0.565905i	$-0.808527\pi$
$271$	−17.9814	+	6.54471i	−1.09229	+	0.397563i	−0.267824	+	0.963468i	$0.586305\pi$
$272$	0.125279	−	0.105121i	0.00759613	−	0.00637391i
$273$	15.3971	+	26.6686i	0.931875	+	1.61405i
$274$	−20.7991	−	3.66745i	−1.25652	−	0.221559i
$275$	−3.41486	+	2.06045i	−0.205924	+	0.124250i
$276$	11.4402	−	13.6338i	0.688616	−	0.820661i
$277$	23.2905	+	8.47705i	1.39939	+	0.509336i	0.927997	−	0.372587i	$-0.121529\pi$
$277$	23.2905	+	8.47705i	1.39939	+	0.509336i	0.471393	+	0.881923i	$0.343751\pi$
$278$	6.19300	+	2.25407i	0.371431	+	0.135190i
$279$	−31.4316	+	37.4587i	−1.88176	+	2.24259i
$280$	−7.14075	−	4.89799i	−0.426741	−	0.292711i
$281$	12.6433	+	2.22935i	0.754235	+	0.132992i	0.537529	−	0.843245i	$-0.319358\pi$
$281$	12.6433	+	2.22935i	0.754235	+	0.132992i	0.216706	+	0.976237i	$0.430469\pi$
$282$	−11.0986	−	19.2234i	−0.660915	−	1.14474i
$283$	−17.7216	+	14.8701i	−1.05344	+	0.883939i	−0.993451	−	0.114261i	$-0.963550\pi$
$283$	−17.7216	+	14.8701i	−1.05344	+	0.883939i	−0.0599861	+	0.998199i	$0.519106\pi$
$284$	5.42285	−	1.97375i	0.321787	−	0.117121i
$285$	22.1325	−	15.8178i	1.31102	−	0.936968i
$286$	1.07577	+	1.86329i	0.0636118	+	0.110179i
$287$	−27.6260	+	32.9233i	−1.63071	+	1.94340i
$288$	2.84578	−	4.92903i	0.167689	−	0.290446i
$289$	−2.94737	−	16.7154i	−0.173375	−	0.983258i
$290$	−0.318243	+	0.700034i	−0.0186879	+	0.0411074i
$291$	−44.0247	+	7.76275i	−2.58078	+	0.455060i
$292$	−4.99657	−	5.95468i	−0.292402	−	0.348471i
$293$	5.90009	−	16.2104i	0.344687	−	0.947019i	−0.639328	−	0.768934i	$-0.720788\pi$
$293$	5.90009	−	16.2104i	0.344687	−	0.947019i	0.984015	−	0.178085i	$-0.0569902\pi$
$294$	8.06270	+	22.1521i	0.470226	+	1.29194i
$295$	−4.53535	+	9.97633i	−0.264058	+	0.580845i
$296$	6.05755	+	0.553293i	0.352088	+	0.0321595i
$297$			6.32954i			0.367277i
$298$	−5.85451	+	2.13087i	−0.339142	+	0.123438i
$299$	15.3014	+	5.56927i	0.884905	+	0.322079i
$300$	−2.27905	+	14.5635i	−0.131581	+	0.840823i
$301$	−35.5568	+	6.26963i	−2.04946	+	0.361375i
$302$	0.795863			0.0457967
$303$	38.8309	−	6.84693i	2.23077	−	0.393346i
$304$	3.57378	+	2.06332i	0.204970	+	0.118340i
$305$	−18.6338	+	8.90900i	−1.06697	+	0.510128i
$306$	0.465397	+	0.806091i	0.0266050	+	0.0460812i
$307$	6.39993	+	3.69500i	0.365263	+	0.210885i	0.671387	−	0.741107i	$-0.265699\pi$
$307$	6.39993	+	3.69500i	0.365263	+	0.210885i	−0.306124	+	0.951992i	$0.599032\pi$
$308$	1.05648	+	2.90266i	0.0601986	+	0.165394i
$309$	22.0913	+	26.3273i	1.25673	+	1.49771i
$310$	19.1210	−	1.85897i	1.08600	−	0.105583i
$311$	3.13779	+	0.553278i	0.177928	+	0.0313735i	0.261902	−	0.965094i	$-0.415650\pi$
$311$	3.13779	+	0.553278i	0.177928	+	0.0313735i	−0.0839742	+	0.996468i	$0.526761\pi$
$312$	7.83124	+	1.38086i	0.443357	+	0.0781758i
$313$	18.9434	+	15.8954i	1.07074	+	0.898460i	0.995120	−	0.0986763i	$-0.0314609\pi$
$313$	18.9434	+	15.8954i	1.07074	+	0.898460i	0.0756235	+	0.997136i	$0.475905\pi$
$314$	1.10264	−	3.02947i	0.0622254	−	0.170963i
$315$	34.5111	−	35.1837i	1.94448	−	1.98238i
$316$	5.87687	−	7.00378i	0.330600	−	0.393993i
$317$	−28.0761	−	4.95057i	−1.57691	−	0.278052i	−0.684409	−	0.729098i	$-0.739940\pi$
$317$	−28.0761	−	4.95057i	−1.57691	−	0.278052i	−0.892500	+	0.451047i	$0.851051\pi$
$318$	3.62967	−	20.5849i	0.203542	−	1.15434i
$319$	0.237563	−	0.137157i	0.0133010	−	0.00767934i
$320$	−2.15419	+	0.599554i	−0.120423	+	0.0335161i
$321$	38.3684	−	13.9649i	2.14151	−	0.779447i
$322$	20.2458	+	11.6889i	1.12826	+	0.651399i
$323$	−0.584455	+	0.337435i	−0.0325199	+	0.0187754i
$324$	4.84073	+	4.06185i	0.268929	+	0.225658i
$325$	−13.2340	+	2.59781i	−0.734089	+	0.144101i
$326$	1.47444	+	8.36199i	0.0816619	+	0.463128i
$327$	−18.8643			−1.04320
$328$	1.92722	+	10.9298i	0.106413	+	0.603496i
$329$	22.3355	−	18.7417i	1.23139	−	1.03326i
$330$	3.68220	−	3.75396i	0.202698	−	0.206649i
$331$	−5.39084	−	14.8112i	−0.296308	−	0.814098i	−0.995109	−	0.0987826i	$-0.968505\pi$
$331$	−5.39084	−	14.8112i	−0.296308	−	0.814098i	0.698802	−	0.715316i	$-0.253717\pi$
$332$			8.00218i			0.439177i
$333$	−9.08810	+	33.4062i	−0.498025	+	1.83065i
$334$	20.1954			1.10504
$335$	1.41930	−	18.2495i	0.0775446	−	0.997075i
$336$	10.7281	+	3.90472i	0.585268	+	0.213020i
$337$	−8.45393	−	10.0750i	−0.460515	−	0.548820i	0.484951	−	0.874541i	$-0.338837\pi$
$337$	−8.45393	−	10.0750i	−0.460515	−	0.548820i	−0.945466	+	0.325721i	$0.894393\pi$
$338$	−0.994054	−	5.63756i	−0.0540694	−	0.306643i
$339$		−	54.9438i		−	2.98414i
$340$	0.0912332	−	0.354122i	0.00494781	−	0.0192050i
$341$	−5.93497	−	3.42656i	−0.321397	−	0.185558i
$342$	−15.0972	+	17.9921i	−0.816362	+	0.972902i
$343$	−3.34069	+	1.92875i	−0.180380	+	0.104143i
$344$	−4.66178	+	8.07445i	−0.251347	+	0.435345i
$345$	3.08577	−	39.6771i	0.166132	−	2.13614i
$346$	−8.01044	−	9.54648i	−0.430644	−	0.513222i
$347$	3.36885	+	5.83501i	0.180849	+	0.313240i	0.942170	−	0.335135i	$-0.108782\pi$
$347$	3.36885	+	5.83501i	0.180849	+	0.313240i	−0.761321	+	0.648375i	$0.775449\pi$
$348$	0.176055	−	0.998456i	0.00943752	−	0.0535228i
$349$	−0.763511	+	4.33009i	−0.0408698	+	0.231784i	−0.998400	−	0.0565494i	$-0.981990\pi$
$349$	−0.763511	+	4.33009i	−0.0408698	+	0.231784i	0.957530	+	0.288334i	$0.0931013\pi$
$350$	−19.3588	+	0.373696i	−1.03477	+	0.0199749i
$351$	−7.32038	+	20.1126i	−0.390733	+	1.07353i
$352$	0.749560	+	0.272817i	0.0399517	+	0.0145412i
$353$	2.28922	+	1.92089i	0.121843	+	0.102238i	0.701673	−	0.712499i	$-0.252437\pi$
$353$	2.28922	+	1.92089i	0.121843	+	0.102238i	−0.579830	+	0.814737i	$0.696881\pi$
$354$	2.50899	−	14.2292i	0.133351	−	0.756274i
$355$	7.29911	−	10.6413i	0.387397	−	0.564783i
$356$	5.78070	−	3.33749i	0.306376	−	0.176886i
$357$	−1.43026	+	1.20013i	−0.0756974	+	0.0635177i
$358$	−0.810547	−	2.22696i	−0.0428387	−	0.117698i
$359$	−14.2744	+	24.7240i	−0.753374	+	1.30488i	0.192804	+	0.981237i	$0.438242\pi$
$359$	−14.2744	+	24.7240i	−0.753374	+	1.30488i	−0.946179	+	0.323645i	$0.895092\pi$
$360$	−1.23150	−	12.6670i	−0.0649060	−	0.667608i
$361$	1.50970	+	1.26679i	0.0794581	+	0.0666732i
$362$	4.85484	−	8.40884i	0.255165	−	0.441959i
$363$	30.0896	−	5.30561i	1.57929	−	0.278472i
$364$			10.4453i			0.547481i
$365$	−16.8320	−	4.33645i	−0.881025	−	0.226980i
$366$	20.8604	−	17.5039i	1.09039	−	0.914945i
$367$	4.86863	−	13.3765i	0.254141	−	0.698245i	−0.745361	−	0.666662i	$-0.767723\pi$
$367$	4.86863	−	13.3765i	0.254141	−	0.698245i	0.999501	−	0.0315839i	$-0.0100551\pi$
$368$	5.67285	−	2.06475i	0.295718	−	0.107633i
$369$	−63.1671			−3.28835
$370$	11.7394	−	6.86930i	0.610301	−	0.357118i
$371$	27.4560			1.42545
$372$	−23.8014	+	8.66299i	−1.23404	+	0.449155i
$373$	−6.22645	+	17.1070i	−0.322393	+	0.885768i	0.667583	+	0.744535i	$0.267329\pi$
$373$	−6.22645	+	17.1070i	−0.322393	+	0.885768i	−0.989976	+	0.141233i	$0.954893\pi$
$374$	−0.0999303	+	0.0838514i	−0.00516727	+	0.00433586i
$375$	14.7889	+	29.4573i	0.763698	+	1.52117i
$376$		−	7.52924i		−	0.388291i
$377$	0.913504	−	0.161075i	0.0470479	−	0.00829581i
$378$	−15.3642	+	26.6117i	−0.790252	+	1.36876i
$379$	22.0894	+	18.5352i	1.13466	+	0.952092i	0.999251	−	0.0386981i	$-0.0123211\pi$
$379$	22.0894	+	18.5352i	1.13466	+	0.952092i	0.135408	+	0.990790i	$0.456766\pi$
$380$	9.18416	−	0.892900i	0.471138	−	0.0458048i
$381$	21.1540	−	36.6398i	1.08375	−	1.87711i
$382$	4.05297	+	11.1354i	0.207368	+	0.569738i
$383$	16.9644	−	14.2348i	0.866840	−	0.727365i	−0.0965902	−	0.995324i	$-0.530794\pi$
$383$	16.9644	−	14.2348i	0.866840	−	0.727365i	0.963430	+	0.267959i	$0.0863492\pi$
$384$	2.55317	−	1.47407i	0.130291	−	0.0752234i
$385$	5.69592	+	3.90696i	0.290291	+	0.199117i
$386$	−0.894855	+	5.07498i	−0.0455469	+	0.258309i
$387$	−40.6506	−	34.1099i	−2.06639	−	1.73390i
$388$	−14.2489	−	5.18619i	−0.723380	−	0.263289i
$389$	0.256254	−	0.704052i	0.0129926	−	0.0356969i	−0.933027	−	0.359807i	$-0.882843\pi$
$389$	0.256254	−	0.704052i	0.0129926	−	0.0356969i	0.946019	+	0.324110i	$0.105065\pi$
$390$	16.0421	−	7.66988i	0.812323	−	0.388380i
$391$	−0.171439	+	0.972277i	−0.00867002	+	0.0491702i
$392$	−1.38851	+	7.87465i	−0.0701305	+	0.397730i
$393$	−6.10738	−	10.5783i	−0.308077	−	0.533604i
$394$	−11.5997	−	13.8239i	−0.584382	−	0.696440i
$395$	1.58518	−	20.3823i	0.0797589	−	1.02555i
$396$	−2.26998	+	3.93171i	−0.114071	+	0.197576i
$397$	0.366906	−	0.211833i	0.0184145	−	0.0106316i	−0.490764	−	0.871292i	$-0.663282\pi$
$397$	0.366906	−	0.211833i	0.0184145	−	0.0106316i	0.509179	+	0.860661i	$0.329949\pi$
$398$	7.75731	−	9.24480i	0.388839	−	0.463400i
$399$	−40.8006	−	23.5562i	−2.04258	−	1.17929i
$400$	−3.13942	+	3.89154i	−0.156971	+	0.194577i
$401$		−	14.9349i		−	0.745811i	−0.927869	−	0.372906i	$-0.878362\pi$
$401$		−	14.9349i		−	0.745811i	0.927869	−	0.372906i	$-0.121638\pi$
$402$	4.19077	+	23.7670i	0.209016	+	1.18539i
$403$	−14.8959	−	17.7522i	−0.742016	−	0.884300i
$404$	12.5679	+	4.57434i	0.625276	+	0.227582i
$405$	14.0874	+	1.09561i	0.700011	+	0.0544413i
$406$	1.33174			0.0660930
$407$	−4.83189	−	0.441343i	−0.239508	−	0.0218765i
$408$			0.482138i			0.0238694i
$409$	1.66787	+	4.58243i	0.0824707	+	0.226586i	0.974073	−	0.226232i	$-0.0726408\pi$
$409$	1.66787	+	4.58243i	0.0824707	+	0.226586i	−0.891603	+	0.452818i	$0.850419\pi$
$410$	17.7166	+	17.3779i	0.874962	+	0.858235i
$411$	47.6976	−	40.0230i	2.35275	−	1.97419i
$412$	2.02430	+	11.4804i	0.0997301	+	0.565597i
$413$	18.9789			0.933888
$414$	5.96646	+	33.8375i	0.293236	+	1.66302i
$415$	10.4042	+	14.5577i	0.510723	+	0.714610i
$416$	2.06626	+	1.73380i	0.101307	+	0.0850063i
$417$	−16.8265	+	9.71480i	−0.823998	+	0.475736i
$418$	−2.85068	−	1.64584i	−0.139431	−	0.0805007i
$419$	−2.48112	+	0.903055i	−0.121211	+	0.0441171i	−0.401913	−	0.915678i	$-0.631655\pi$
$419$	−2.48112	+	0.903055i	−0.121211	+	0.0441171i	0.280703	+	0.959795i	$0.409433\pi$
$420$	24.5936	−	6.84489i	1.20005	−	0.333996i
$421$	−21.3293	+	12.3145i	−1.03952	+	0.600170i	−0.919699	−	0.392625i	$-0.871567\pi$
$421$	−21.3293	+	12.3145i	−1.03952	+	0.600170i	−0.119826	+	0.992795i	$0.538234\pi$
$422$	−0.258346	+	1.46515i	−0.0125761	+	0.0713225i
$423$	42.2021	+	7.44136i	2.05193	+	0.361811i
$424$	4.55738	−	5.43128i	0.221326	−	0.263766i
$425$	−0.294447	−	0.762844i	−0.0142828	−	0.0370034i
$426$	−5.81891	+	15.9873i	−0.281927	+	0.774589i
$427$	27.4008	+	22.9920i	1.32602	+	1.11266i
$428$	13.6392	+	2.40497i	0.659278	+	0.116248i
$429$	−6.24670	−	1.10146i	−0.301594	−	0.0531791i
$430$	2.01738	+	20.7503i	0.0972866	+	1.00067i
$431$	−11.5541	−	13.7696i	−0.556539	−	0.663258i	0.412271	−	0.911061i	$-0.364736\pi$
$431$	−11.5541	−	13.7696i	−0.556539	−	0.663258i	−0.968810	+	0.247803i	$0.920291\pi$
$432$	2.71396	+	7.45654i	0.130575	+	0.358753i
$433$	−19.1016	−	11.0283i	−0.917965	−	0.529987i	−0.0349799	−	0.999388i	$-0.511137\pi$
$433$	−19.1016	−	11.0283i	−0.917965	−	0.529987i	−0.882985	+	0.469401i	$0.844470\pi$
$434$	−16.6352	−	28.8130i	−0.798514	−	1.38307i
$435$	−0.977883	−	2.04531i	−0.0468859	−	0.0980651i
$436$	−5.54143	−	3.19935i	−0.265387	−	0.153221i
$437$	−24.5338	+	4.32597i	−1.17361	+	0.206939i
$438$	22.9168			1.09501
$439$	12.8564	−	2.26694i	0.613604	−	0.108195i	0.141795	−	0.989896i	$-0.454712\pi$
$439$	12.8564	−	2.26694i	0.613604	−	0.108195i	0.471808	+	0.881701i	$0.343601\pi$
$440$	1.71832	−	0.478243i	0.0819178	−	0.0227993i
$441$	−42.7658	−	15.5655i	−2.03647	−	0.741213i
$442$	−0.414514	+	0.150871i	−0.0197164	+	0.00717619i
$443$			29.3309i			1.39355i	0.717288	+	0.696777i	$0.245383\pi$
$443$			29.3309i			1.39355i	−0.717288	+	0.696777i	$0.754617\pi$
$444$	−12.7288	+	12.6319i	−0.604082	+	0.599484i
$445$	6.17703	−	13.5875i	0.292819	−	0.644110i
$446$	5.30304	+	14.5700i	0.251106	+	0.689908i
$447$	6.28210	−	17.2599i	0.297133	−	0.816367i
$448$	2.48918	+	2.96649i	0.117603	+	0.140154i
$449$	−28.6341	+	5.04897i	−1.35133	+	0.238276i	−0.801997	−	0.597328i	$-0.796229\pi$
$449$	−28.6341	+	5.04897i	−1.35133	+	0.238276i	−0.549332	+	0.835604i	$0.685118\pi$
$450$	−18.7096	−	21.4428i	−0.881981	−	1.01082i
$451$	−1.53727	−	8.71830i	−0.0723873	−	0.410529i
$452$	9.31837	−	16.1399i	0.438299	−	0.759157i
$453$	−1.50818	+	1.79738i	−0.0708607	+	0.0844485i
$454$	1.25693	+	2.17706i	0.0589904	+	0.102174i
$455$	13.5807	+	19.0022i	0.636672	+	0.890838i
$456$	−11.4323	+	4.16100i	−0.535364	+	0.194857i
$457$	−2.66133	+	2.23312i	−0.124492	+	0.104461i	−0.702908	−	0.711281i	$-0.748115\pi$
$457$	−2.66133	+	2.23312i	−0.124492	+	0.104461i	0.578416	+	0.815742i	$0.303671\pi$
$458$	−6.97224	−	12.0763i	−0.325792	−	0.564288i
$459$	−1.27799	−	0.225343i	−0.0596513	−	0.0105181i
$460$	7.63562	−	11.1319i	0.356013	−	0.519028i
$461$	−5.46900	+	6.51769i	−0.254717	+	0.303559i	−0.878216	−	0.478265i	$-0.841266\pi$
$461$	−5.46900	+	6.51769i	−0.254717	+	0.303559i	0.623499	+	0.781824i	$0.285710\pi$
$462$	−8.55745	−	3.11466i	−0.398129	−	0.144907i
$463$	−16.0949	−	5.85806i	−0.747993	−	0.272247i	−0.0602320	−	0.998184i	$-0.519184\pi$
$463$	−16.0949	−	5.85806i	−0.747993	−	0.272247i	−0.687761	+	0.725937i	$0.741406\pi$
$464$	0.221053	−	0.263441i	0.0102621	−	0.0122299i
$465$	−32.0365	+	46.7058i	−1.48566	+	2.16593i
$466$	9.79731	+	1.72753i	0.453852	+	0.0800263i
$467$	16.0914	+	27.8712i	0.744622	+	1.28972i	0.950371	+	0.311119i	$0.100704\pi$
$467$	16.0914	+	27.8712i	0.744622	+	1.28972i	−0.205749	+	0.978605i	$0.565963\pi$
$468$	−11.7602	+	9.86799i	−0.543616	+	0.456148i
$469$	−29.7886	+	10.8422i	−1.37551	+	0.500644i
$470$	−9.78932	−	13.6973i	−0.451548	−	0.631811i
$471$	4.75225	+	8.23114i	0.218972	+	0.379271i
$472$	3.15027	−	3.75435i	0.145003	−	0.172808i
$473$	3.71854	−	6.44070i	0.170979	−	0.296144i
$474$	4.68055	+	26.5447i	0.214985	+	1.21924i
$475$	15.5471	−	13.5654i	0.713348	−	0.622422i
$476$	−0.623683	+	0.109972i	−0.0285865	+	0.00504056i
$477$	25.9386	+	30.9124i	1.18765	+	1.41538i
$478$	5.81204	−	15.9684i	0.265836	−	0.730379i
$479$	3.71800	+	10.2151i	0.169880	+	0.466741i	0.995193	−	0.0979346i	$-0.0312236\pi$
$479$	3.71800	+	10.2151i	0.169880	+	0.466741i	−0.825313	+	0.564675i	$0.809001\pi$
$480$	2.72822	−	6.00122i	0.124526	−	0.273917i
$481$	−14.8433	−	6.99069i	−0.676795	−	0.318748i
$482$		−	16.0832i		−	0.732567i
$483$	−64.7649	+	23.5725i	−2.94691	+	1.07259i
$484$	9.73872	+	3.54460i	0.442669	+	0.161118i
$485$	−32.6648	+	9.09127i	−1.48323	+	0.412814i
$486$	5.09696	−	0.898731i	0.231203	−	0.0407673i
$487$	−26.3538			−1.19420			−0.597102	−	0.802165i	$-0.703681\pi$
$487$	−26.3538			−1.19420			−0.597102	+	0.802165i	$0.703681\pi$
$488$	9.09643	−	1.60395i	0.411776	−	0.0726072i
$489$	−21.6789	−	12.5163i	−0.980355	−	0.566008i
$490$	7.71240	+	16.1310i	0.348411	+	0.728725i
$491$	0.680593	+	1.17882i	0.0307147	+	0.0531995i	0.880974	−	0.473164i	$-0.156888\pi$
$491$	0.680593	+	1.17882i	0.0307147	+	0.0531995i	−0.850259	+	0.526364i	$0.823555\pi$
$492$	−28.3361	−	16.3598i	−1.27749	−	0.737558i
$493$	0.0192355	+	0.0528491i	0.000866323	+	0.00238020i
$494$	−7.15477	−	8.52672i	−0.321908	−	0.383635i
$495$	0.982328	+	10.1040i	0.0441523	+	0.454141i
$496$	−8.46095	−	1.49189i	−0.379908	−	0.0669880i
$497$	−22.0081	−	3.88062i	−0.987198	−	0.174070i
$498$	−18.0722	−	15.1644i	−0.809835	−	0.679532i
$499$	3.96043	−	10.8812i	0.177293	−	0.487109i	−0.818935	−	0.573887i	$-0.805435\pi$
$499$	3.96043	−	10.8812i	0.177293	−	0.487109i	0.996228	+	0.0867780i	$0.0276571\pi$
$500$	−0.651607	+	11.1613i	−0.0291408	+	0.499150i
$501$	−38.2708	+	45.6094i	−1.70981	+	2.03768i
$502$	−2.54801	−	0.449283i	−0.113723	−	0.0200525i
$503$	2.09964	−	11.9077i	0.0936184	−	0.530936i	−0.901544	−	0.432688i	$-0.857565\pi$
$503$	2.09964	−	11.9077i	0.0936184	−	0.530936i	0.995162	−	0.0982481i	$-0.0313239\pi$
$504$	−19.0876	+	11.0202i	−0.850229	+	0.490880i
$505$	28.8112	−	8.01872i	1.28208	−	0.356828i
$506$	−4.52503	+	1.64698i	−0.201162	+	0.0732171i
$507$	14.6157	+	8.43837i	0.649105	+	0.374761i
$508$	12.4281	−	7.17535i	0.551407	−	0.318355i
$509$	12.4192	+	10.4209i	0.550472	+	0.461900i	0.875101	−	0.483941i	$-0.160795\pi$
$509$	12.4192	+	10.4209i	0.550472	+	0.461900i	−0.324629	+	0.945841i	$0.605239\pi$
$510$	0.626863	+	0.877114i	0.0277580	+	0.0388393i
$511$	5.22714	+	29.6446i	0.231235	+	1.31140i
$512$	1.00000			0.0441942
$513$	−5.68616	−	32.2478i	−0.251050	−	1.42378i
$514$	−15.9352	+	13.3712i	−0.702872	+	0.589780i
$515$	18.6091	+	18.2533i	0.820015	+	0.804339i
$516$	−9.40118	−	25.8295i	−0.413864	−	1.13708i
$517$			6.00581i			0.264135i
$518$	−19.2437	−	13.5844i	−0.845519	−	0.596866i
$519$	36.7399			1.61270
$520$	6.01321	+	0.467659i	0.263696	+	0.0205082i
$521$	32.2261	+	11.7293i	1.41185	+	0.513872i	0.931673	−	0.363299i	$-0.118350\pi$
$521$	32.2261	+	11.7293i	1.41185	+	0.513872i	0.480179	+	0.877171i	$0.340572\pi$
$522$	1.25813	+	1.49939i	0.0550670	+	0.0656263i
$523$	−2.77399	−	15.7321i	−0.121298	−	0.687915i	−0.983438	−	0.181245i	$-0.941987\pi$
$523$	−2.77399	−	15.7321i	−0.121298	−	0.687915i	0.862140	−	0.506670i	$-0.169124\pi$
$524$		−	4.14320i		−	0.180997i
$525$	35.8416	−	44.4283i	1.56425	−	1.93901i
$526$	−8.72661	−	5.03831i	−0.380498	−	0.219681i
$527$	0.903146	−	1.07633i	0.0393416	−	0.0468856i
$528$	−2.03657	+	1.17582i	−0.0886304	+	0.0511708i
$529$	−6.72223	+	11.6432i	−0.292271	+	0.506228i
$530$	1.22927	−	15.8061i	0.0533961	−	0.686571i
$531$	17.9299	+	21.3681i	0.778093	+	0.927295i
$532$	−7.99019	−	13.8394i	−0.346419	−	0.600015i
$533$	5.19829	−	29.4810i	0.225163	−	1.27696i
$534$	−3.41718	+	19.3798i	−0.147876	+	0.838647i
$535$	27.9396	−	13.3582i	1.20794	−	0.577526i
$536$	−2.79980	+	7.69237i	−0.120933	+	0.332260i
$537$	6.56540	+	2.38961i	0.283318	+	0.103119i
$538$	11.8562	+	9.94854i	0.511158	+	0.428912i
$539$	1.10757	−	6.28133i	0.0477063	−	0.270556i
$540$	14.6321	+	10.0365i	0.629664	+	0.431900i
$541$	24.1482	−	13.9420i	1.03821	−	0.599413i	0.118887	−	0.992908i	$-0.462067\pi$
$541$	24.1482	−	13.9420i	1.03821	−	0.599413i	0.919327	+	0.393494i	$0.128734\pi$
$542$	14.6586	−	12.3000i	0.629641	−	0.528331i
$543$	9.79052	+	26.8992i	0.420151	+	1.15436i
$544$	−0.0817698	+	0.141629i	−0.00350585	+	0.00607231i
$545$	−14.2408	+	1.38451i	−0.610008	+	0.0593060i
$546$	−23.5897	−	19.7941i	−1.00955	−	0.847110i
$547$	14.5924	−	25.2747i	0.623924	−	1.08067i	−0.364824	−	0.931077i	$-0.618871\pi$
$547$	14.5924	−	25.2747i	0.623924	−	1.08067i	0.988748	−	0.149592i	$-0.0477959\pi$
$548$	20.7991	−	3.66745i	0.888495	−	0.156666i
$549$			52.5715i			2.24370i
$550$	2.50420	−	3.10414i	0.106779	−	0.132361i
$551$	−1.08713	+	0.912207i	−0.0463131	+	0.0388613i
$552$	−6.08718	+	16.7244i	−0.259088	+	0.711837i
$553$	−33.2701	+	12.1093i	−1.41479	+	0.514940i
$554$	−24.7852			−1.05302
$555$	−6.73278	+	39.5298i	−0.285791	+	1.67795i
$556$	−6.59045			−0.279497
$557$	24.5192	−	8.92426i	1.03891	−	0.378133i	0.234444	−	0.972130i	$-0.424673\pi$
$557$	24.5192	−	8.92426i	1.03891	−	0.378133i	0.804468	+	0.593997i	$0.202451\pi$
$558$	16.7244	−	45.9499i	0.708000	−	1.94521i
$559$	19.2649	−	16.1652i	0.814818	−	0.683713i
$560$	8.38532	+	2.16033i	0.354345	+	0.0912905i
$561$		−	0.384585i		−	0.0162372i
$562$	−12.6433	+	2.22935i	−0.533325	+	0.0940395i
$563$	−18.2845	+	31.6696i	−0.770599	+	1.33472i	0.166637	+	0.986018i	$0.446709\pi$
$563$	−18.2845	+	31.6696i	−0.770599	+	1.33472i	−0.937235	+	0.348698i	$0.886624\pi$
$564$	17.0041	+	14.2681i	0.716002	+	0.600797i
$565$	−4.03251	−	41.4775i	−0.169649	−	1.74497i
$566$	11.5669	−	20.0345i	0.486194	−	0.842113i
$567$	−8.36947	−	22.9949i	−0.351485	−	0.965696i
$568$	−4.42074	+	3.70944i	−0.185490	+	0.155645i
$569$	13.2062	−	7.62462i	0.553634	−	0.319641i	−0.196952	−	0.980413i	$-0.563104\pi$
$569$	13.2062	−	7.62462i	0.553634	−	0.319641i	0.750586	+	0.660772i	$0.229771\pi$
$570$	−15.3877	+	22.4337i	−0.644521	+	0.939643i
$571$	−2.59364	+	14.7092i	−0.108540	+	0.615563i	0.881207	+	0.472731i	$0.156732\pi$
$571$	−2.59364	+	14.7092i	−0.108540	+	0.615563i	−0.989747	+	0.142832i	$0.954379\pi$
$572$	−1.64818	−	1.38299i	−0.0689139	−	0.0578256i
$573$	−32.8289	−	11.9487i	−1.37145	−	0.499165i
$574$	14.6995	−	40.3864i	0.613544	−	1.68570i
$575$	−0.582565	−	30.1790i	−0.0242946	−	1.25855i
$576$	−0.988328	+	5.60509i	−0.0411803	+	0.233545i
$577$	3.26162	−	18.4976i	0.135783	−	0.770063i	−0.838528	−	0.544858i	$-0.816584\pi$
$577$	3.26162	−	18.4976i	0.135783	−	0.770063i	0.974311	−	0.225205i	$-0.0723053\pi$
$578$	8.48663	+	14.6993i	0.352997	+	0.611409i
$579$	−9.76560	−	11.6382i	−0.405844	−	0.483666i
$580$	0.0596249	−	0.766662i	0.00247579	−	0.0318339i
$581$	15.4942	−	26.8367i	0.642806	−	1.11337i
$582$	38.7147	−	22.3519i	1.60478	−	0.926518i
$583$	−3.63526	+	4.33234i	−0.150557	+	0.179427i
$584$	6.73186	+	3.88664i	0.278567	+	0.160830i
$585$	−8.56429	+	33.2423i	−0.354090	+	1.37440i
$586$			17.2507i			0.712620i
$587$	−6.48792	−	36.7948i	−0.267785	−	1.51869i	−0.760985	−	0.648769i	$-0.775284\pi$
$587$	−6.48792	−	36.7948i	−0.267785	−	1.51869i	0.493200	−	0.869916i	$-0.335827\pi$
$588$	−15.1529	−	18.0585i	−0.624895	−	0.744721i
$589$	33.3158	+	12.1260i	1.37276	+	0.499642i
$590$	0.849727	−	10.9259i	0.0349827	−	0.449811i
$591$	53.2018			2.18843
$592$	−5.88147	+	1.55188i	−0.241727	+	0.0637818i
$593$		−	4.19652i		−	0.172330i	−0.996281	−	0.0861652i	$-0.972539\pi$
$593$		−	4.19652i		−	0.172330i	0.996281	−	0.0861652i	$-0.0274613\pi$
$594$	−2.16483	−	5.94782i	−0.0888240	−	0.244042i
$595$	−0.991632	+	1.01096i	−0.0406529	+	0.0414453i
$596$	4.77264	−	4.00472i	0.195495	−	0.164040i
$597$	6.17820	+	35.0383i	0.252857	+	1.43402i
$598$	−16.2834			−0.665879
$599$	−2.66748	−	15.1281i	−0.108990	−	0.618116i	−0.989551	−	0.144182i	$-0.953945\pi$
$599$	−2.66748	−	15.1281i	−0.108990	−	0.618116i	0.880561	−	0.473933i	$-0.157166\pi$
$600$	−2.83940	−	14.4647i	−0.115918	−	0.590518i
$601$	0.596444	+	0.500476i	0.0243295	+	0.0204148i	0.654871	−	0.755740i	$-0.272723\pi$
$601$	0.596444	+	0.500476i	0.0243295	+	0.0204148i	−0.630542	+	0.776155i	$0.717167\pi$
$602$	31.2682	−	18.0527i	1.27439	−	0.735772i
$603$	−40.3493	−	23.2957i	−1.64315	−	0.948673i
$604$	−0.747866	+	0.272201i	−0.0304302	+	0.0110757i
$605$	22.3254	−	6.21362i	0.907659	−	0.252619i
$606$	−34.1473	+	19.7149i	−1.38714	+	0.800865i
$607$	−3.06873	+	17.4036i	−0.124556	+	0.706392i	0.857015	+	0.515292i	$0.172317\pi$
$607$	−3.06873	+	17.4036i	−0.124556	+	0.706392i	−0.981571	+	0.191100i	$0.938795\pi$
$608$	−4.06395	−	0.716585i	−0.164815	−	0.0290614i
$609$	−2.52368	+	3.00761i	−0.102265	+	0.121874i
$610$	14.4630	−	14.7449i	0.585589	−	0.597002i
$611$	−6.94598	+	19.0839i	−0.281004	+	0.772053i
$612$	−0.713030	−	0.598303i	−0.0288225	−	0.0241850i
$613$	16.7722	+	2.95738i	0.677421	+	0.119448i	0.501765	−	0.865004i	$-0.332684\pi$
$613$	16.7722	+	2.95738i	0.677421	+	0.119448i	0.175656	+	0.984452i	$0.443795\pi$
$614$	−7.27773	−	1.28326i	−0.293705	−	0.0517882i
$615$	−72.8201	+	7.07969i	−2.93639	+	0.285481i
$616$	−1.98553	−	2.36627i	−0.0799995	−	0.0953396i
$617$	−1.15260	−	3.16674i	−0.0464019	−	0.127488i	0.914327	−	0.404976i	$-0.132720\pi$
$617$	−1.15260	−	3.16674i	−0.0464019	−	0.127488i	−0.960729	+	0.277488i	$0.910498\pi$
$618$	−29.7635	−	17.1840i	−1.19726	−	0.691240i
$619$	2.09576	+	3.62997i	0.0842359	+	0.145901i	0.905065	−	0.425272i	$-0.139822\pi$
$619$	2.09576	+	3.62997i	0.0842359	+	0.145901i	−0.820829	+	0.571173i	$0.806488\pi$
$620$	−17.3320	+	8.28662i	−0.696071	+	0.332799i
$621$	−41.4857	−	23.9518i	−1.66476	−	0.961151i
$622$	−3.13779	+	0.553278i	−0.125814	+	0.0221844i
$623$	−25.8487			−1.03561
$624$	−7.83124	+	1.38086i	−0.313501	+	0.0552786i
$625$	13.3262	+	21.1521i	0.533050	+	0.846084i
$626$	−23.2375	−	8.45776i	−0.928757	−	0.338040i
$627$	9.11911	−	3.31908i	0.364182	−	0.132551i
$628$			3.22389i			0.128647i
$629$	0.261135	−	0.959885i	0.0104121	−	0.0382731i
$630$	−20.3963	+	44.8653i	−0.812607	+	1.78748i
$631$	12.5727	+	34.5431i	0.500510	+	1.37514i	0.890778	+	0.454439i	$0.150160\pi$
$631$	12.5727	+	34.5431i	0.500510	+	1.37514i	−0.390268	+	0.920701i	$0.627618\pi$
$632$	−3.12702	+	8.59140i	−0.124386	+	0.341748i
$633$	−2.81934	−	3.35996i	−0.112059	−	0.133546i
$634$	28.0761	−	4.95057i	1.11504	−	0.196612i
$635$	13.2802	−	29.2122i	0.527008	−	1.15925i
$636$	3.62967	+	20.5849i	0.143926	+	0.816243i
$637$	10.7840	−	18.6785i	0.427278	−	0.740067i
$638$	−0.176326	+	0.210137i	−0.00698081	+	0.00831941i
$639$	−16.4226	−	28.4448i	−0.649668	−	1.12526i
$640$	1.81922	−	1.30017i	0.0719109	−	0.0513938i
$641$	9.61124	−	3.49821i	0.379621	−	0.138171i	−0.145159	−	0.989408i	$-0.546370\pi$
$641$	9.61124	−	3.49821i	0.379621	−	0.138171i	0.524781	+	0.851237i	$0.324147\pi$
$642$	−31.2782	+	26.2455i	−1.23445	+	1.03583i
$643$	2.48328	+	4.30116i	0.0979310	+	0.169621i	0.910828	−	0.412786i	$-0.135444\pi$
$643$	2.48328	+	4.30116i	0.0979310	+	0.169621i	−0.812897	+	0.582407i	$0.802111\pi$
$644$	−23.0227	−	4.05953i	−0.907223	−	0.159968i
$645$	−50.6856	−	34.7664i	−1.99575	−	1.36892i
$646$	0.433798	−	0.516980i	0.0170676	−	0.0203403i
$647$	−7.86241	−	2.86168i	−0.309103	−	0.112504i	0.182811	−	0.983148i	$-0.441480\pi$
$647$	−7.86241	−	2.86168i	−0.309103	−	0.112504i	−0.491914	+	0.870644i	$0.663703\pi$
$648$	−5.93803	−	2.16127i	−0.233268	−	0.0849026i
$649$	−2.51286	+	2.99471i	−0.0986384	+	0.117553i
$650$	11.5474	−	6.96743i	0.452925	−	0.273285i
$651$	96.5956	+	17.0324i	3.78588	+	0.667553i
$652$	−4.24549	−	7.35341i	−0.166266	−	0.287982i
$653$	−3.46235	+	2.90525i	−0.135492	+	0.113691i	−0.708015	−	0.706197i	$-0.750409\pi$
$653$	−3.46235	+	2.90525i	−0.135492	+	0.113691i	0.572523	+	0.819889i	$0.305965\pi$
$654$	17.7266	−	6.45196i	0.693166	−	0.252292i
$655$	−5.38688	−	7.53739i	−0.210483	−	0.294510i
$656$	−5.54920	−	9.61149i	−0.216660	−	0.375266i
$657$	−28.4383	+	33.8914i	−1.10948	+	1.32223i
$658$	−14.5784	+	25.2506i	−0.568327	+	0.984371i
$659$	−3.22134	−	18.2691i	−0.125486	−	0.711664i	−0.981018	−	0.193915i	$-0.937881\pi$
$659$	−3.22134	−	18.2691i	−0.125486	−	0.711664i	0.855533	−	0.517749i	$-0.173230\pi$
$660$	−2.17620	+	4.78696i	−0.0847086	+	0.186332i
$661$	15.5952	−	2.74985i	0.606582	−	0.106957i	0.138083	−	0.990421i	$-0.455906\pi$
$661$	15.5952	−	2.74985i	0.606582	−	0.106957i	0.468499	+	0.883464i	$0.344795\pi$
$662$	10.1315	+	12.0742i	0.393771	+	0.469278i
$663$	0.444789	−	1.22205i	0.0172742	−	0.0474604i
$664$	−2.73691	−	7.51959i	−0.106213	−	0.291817i
$665$	−32.5295	−	14.7883i	−1.26144	−	0.573465i
$666$	−2.88558	−	34.4999i	−0.111814	−	1.33684i
$667$			2.07608i			0.0803862i
$668$	−18.9774	+	6.90722i	−0.734259	+	0.267248i
$669$	−42.9544	−	15.6341i	−1.66071	−	0.604450i
$670$	4.90798	+	17.6343i	0.189612	+	0.681273i
$671$	−7.25590	+	1.27941i	−0.280111	+	0.0493911i
$672$	−11.4166			−0.440406
$673$	−32.3329	+	5.70117i	−1.24634	+	0.219764i	−0.757632	−	0.652682i	$-0.773644\pi$
$673$	−32.3329	+	5.70117i	−1.24634	+	0.219764i	−0.488711	+	0.872446i	$0.662533\pi$
$674$	11.3899	+	6.57599i	0.438724	+	0.253298i
$675$	39.6680	−	0.765738i	1.52682	−	0.0294733i
$676$	2.86227	+	4.95759i	0.110087	+	0.190677i
$677$	−24.1428	−	13.9389i	−0.927884	−	0.535714i	−0.0417425	−	0.999128i	$-0.513291\pi$
$677$	−24.1428	−	13.9389i	−0.927884	−	0.535714i	−0.886142	+	0.463414i	$0.846624\pi$
$678$	18.7919	+	51.6303i	0.721698	+	1.98285i
$679$	37.7445	+	44.9821i	1.44850	+	1.72626i
$680$	0.0353857	+	0.363969i	0.00135698	+	0.0139576i
$681$	−7.29860	−	1.28694i	−0.279683	−	0.0493157i
$682$	6.74900	+	1.19003i	0.258433	+	0.0455686i
$683$	2.48936	+	2.08882i	0.0952526	+	0.0799264i	0.689170	−	0.724599i	$-0.257975\pi$
$683$	2.48936	+	2.08882i	0.0952526	+	0.0799264i	−0.593918	+	0.804526i	$0.702420\pi$
$684$	8.03304	−	22.0706i	0.307151	−	0.843890i
$685$	33.0698	−	33.7144i	1.26353	−	1.28816i
$686$	2.47955	−	2.95501i	0.0946697	−	0.112823i
$687$	40.4858	+	7.13874i	1.54463	+	0.272360i
$688$	1.61902	−	9.18192i	0.0617246	−	0.350057i
$689$	−16.5619	+	9.56200i	−0.630957	+	0.364283i
$690$	10.6707	+	38.3397i	0.406226	+	1.45957i
$691$	−34.4952	+	12.5552i	−1.31226	+	0.477624i	−0.900970	−	0.433881i	$-0.857144\pi$
$691$	−34.4952	+	12.5552i	−1.31226	+	0.477624i	−0.411290	+	0.911504i	$0.634922\pi$
$692$	10.7924	+	6.23102i	0.410267	+	0.236868i
$693$	15.2255	−	8.79044i	0.578369	−	0.333921i
$694$	−5.16137	−	4.33091i	−0.195923	−	0.164399i
$695$	−11.9895	+	8.56872i	−0.454786	+	0.325030i
$696$	0.176055	+	0.998456i	0.00667334	+	0.0378464i
$697$	1.81503			0.0687490
$698$	−0.763511	−	4.33009i	−0.0288993	−	0.163896i
$699$	−22.4677	+	18.8526i	−0.849806	+	0.713072i
$700$	18.0635	−	6.97226i	0.682737	−	0.263527i
$701$	11.2257	+	30.8424i	0.423989	+	1.16490i	0.949405	+	0.314055i	$0.101688\pi$
$701$	11.2257	+	30.8424i	0.423989	+	1.16490i	−0.525416	+	0.850846i	$0.676090\pi$
$702$		−	21.4034i		−	0.807818i
$703$	25.0141	−	2.09219i	0.943424	−	0.0789083i
$704$	−0.797665			−0.0300631
$705$	49.4852	+	3.84857i	1.86372	+	0.144946i
$706$	−2.80815	−	1.02208i	−0.105686	−	0.0384666i
$707$	−33.2915	−	39.6753i	−1.25206	−	1.49214i
$708$	2.50899	+	14.2292i	0.0942937	+	0.534766i
$709$		−	27.2528i		−	1.02350i	−0.859135	−	0.511750i	$-0.828998\pi$
$709$		−	27.2528i		−	1.02350i	0.859135	−	0.511750i	$-0.171002\pi$
$710$	−3.21937	+	12.4960i	−0.120821	+	0.468967i
$711$	−45.0650	−	26.0183i	−1.69007	−	0.975763i
$712$	−4.29059	+	5.11333i	−0.160797	+	0.191630i
$713$	44.9173	−	25.9330i	1.68217	−	0.971200i
$714$	0.933536	−	1.61693i	0.0349367	−	0.0605121i
$715$	−4.79652	−	0.373035i	−0.179380	−	0.0139507i
$716$	1.52333	+	1.81543i	0.0569295	+	0.0678459i
$717$	25.0493	+	43.3866i	0.935483	+	1.62030i
$718$	4.95745	−	28.1151i	0.185010	−	1.04925i
$719$	−1.83023	+	10.3798i	−0.0682562	+	0.387100i	0.931473	+	0.363811i	$0.118525\pi$
$719$	−1.83023	+	10.3798i	−0.0682562	+	0.387100i	−0.999729	+	0.0232885i	$0.992586\pi$
$720$	5.48960	+	11.4819i	0.204585	+	0.427904i
$721$	15.4399	−	42.4209i	0.575014	−	1.57984i
$722$	−1.85192	−	0.674046i	−0.0689215	−	0.0250854i
$723$	36.3223	+	30.4781i	1.35084	+	1.13349i
$724$	−1.68607	+	9.56218i	−0.0626623	+	0.355375i
$725$	−0.888323	−	1.47225i	−0.0329915	−	0.0546779i
$726$	−26.4603	+	15.2769i	−0.982035	+	0.566978i
$727$	15.5437	−	13.0427i	0.576484	−	0.483728i	−0.307306	−	0.951611i	$-0.599428\pi$
$727$	15.5437	−	13.0427i	0.576484	−	0.483728i	0.883790	+	0.467883i	$0.154983\pi$
$728$	−3.57250	−	9.81535i	−0.132406	−	0.363781i
$729$	−17.1079	+	29.6317i	−0.633625	+	1.09747i
$730$	17.3000	−	1.68194i	0.640303	−	0.0622513i
$731$	1.16804	+	0.980104i	0.0432016	+	0.0362505i
$732$	−13.6156	+	23.5830i	−0.503249	+	0.871652i
$733$	−19.6726	+	3.46880i	−0.726622	+	0.128123i	−0.524711	−	0.851281i	$-0.675827\pi$
$733$	−19.6726	+	3.46880i	−0.726622	+	0.128123i	−0.201912	+	0.979404i	$0.564715\pi$
$734$			14.2349i			0.525421i
$735$	−51.0456	−	13.1510i	−1.88285	−	0.485082i
$736$	−4.62455	+	3.88046i	−0.170463	+	0.143036i
$737$	2.23330	−	6.13593i	0.0822646	−	0.226020i
$738$	59.3577	−	21.6044i	2.18499	−	0.795270i
$739$	53.9320			1.98392			0.991960	−	0.126556i	$-0.0403923\pi$
$739$	53.9320			1.98392			0.991960	+	0.126556i	$0.0403923\pi$
$740$	−8.68196	+	10.4701i	−0.319155	+	0.384890i
$741$	32.8153			1.20550
$742$	−25.8002	+	9.39051i	−0.947156	+	0.344737i
$743$	4.61508	−	12.6798i	0.169311	−	0.465178i	−0.825797	−	0.563967i	$-0.809275\pi$
$743$	4.61508	−	12.6798i	0.169311	−	0.465178i	0.995108	+	0.0987887i	$0.0314968\pi$
$744$	19.4031	−	16.2811i	0.711351	−	0.596894i
$745$	3.47564	−	13.4907i	0.127338	−	0.494261i
$746$		−	18.2049i		−	0.666529i
$747$	44.8529	−	7.90878i	1.64108	−	0.289367i
$748$	0.0652248	−	0.112973i	0.00238486	−	0.00413069i
$749$	−41.0849	−	34.4743i	−1.50121	−	1.25966i
$750$	−23.9720	−	22.6227i	−0.875335	−	0.826063i
$751$	2.42478	−	4.19985i	0.0884816	−	0.153255i	−0.818388	−	0.574666i	$-0.805132\pi$
$751$	2.42478	−	4.19985i	0.0884816	−	0.153255i	0.906870	+	0.421412i	$0.138465\pi$
$752$	2.57515	+	7.07518i	0.0939062	+	0.258005i
$753$	5.84322	−	4.90304i	0.212939	−	0.178677i
$754$	−0.803322	+	0.463798i	−0.0292553	+	0.0168905i
$755$	−1.00662	+	1.46755i	−0.0366348	+	0.0534095i
$756$	5.33595	−	30.2617i	0.194067	−	1.10061i
$757$	35.5047	+	29.7919i	1.29044	+	1.08281i	0.991714	+	0.128467i	$0.0410058\pi$
$757$	35.5047	+	29.7919i	1.29044	+	1.08281i	0.298725	+	0.954339i	$0.403439\pi$
$758$	−27.0967	−	9.86240i	−0.984197	−	0.358219i
$759$	4.85553	−	13.3405i	0.176244	−	0.484228i
$760$	−8.32490	+	3.98022i	−0.301976	+	0.144378i
$761$	−2.23666	+	12.6848i	−0.0810790	+	0.459822i	0.917055	+	0.398761i	$0.130560\pi$
$761$	−2.23666	+	12.6848i	−0.0810790	+	0.459822i	−0.998134	+	0.0610612i	$0.980552\pi$
$762$	−7.34670	+	41.6652i	−0.266143	+	1.50937i
$763$	12.3894	+	21.4591i	0.448527	+	0.776872i
$764$	−7.61709	−	9.07769i	−0.275576	−	0.328419i
$765$	−2.07505	−	0.161381i	−0.0750237	−	0.00583475i
$766$	−11.0727	+	19.1785i	−0.400074	+	0.692948i
$767$	−11.4483	+	6.60969i	−0.413375	+	0.238662i
$768$	−1.89503	+	2.25841i	−0.0683810	+	0.0814933i
$769$	10.7551	+	6.20947i	0.387840	+	0.223919i	0.681224	−	0.732075i	$-0.261448\pi$
$769$	10.7551	+	6.20947i	0.387840	+	0.223919i	−0.293384	+	0.955995i	$0.594781\pi$
$770$	−6.68868	−	1.72322i	−0.241043	−	0.0621004i
$771$		−	61.3271i		−	2.20864i
$772$	−0.894855	−	5.07498i	−0.0322065	−	0.182652i
$773$	17.7155	+	21.1125i	0.637181	+	0.759362i	0.983922	−	0.178599i	$-0.0571563\pi$
$773$	17.7155	+	21.1125i	0.637181	+	0.759362i	−0.346741	+	0.937961i	$0.612712\pi$
$774$	49.8653	+	18.1495i	1.79237	+	0.652370i
$775$	−20.7567	+	37.6098i	−0.745602	+	1.35098i
$776$	15.1634			0.544334
$777$	67.1466	−	17.7172i	2.40887	−	0.635602i
$778$			0.749237i			0.0268614i
$779$	15.6642	+	43.0371i	0.561230	+	1.54197i
$780$	−12.4514	+	12.6941i	−0.445831	+	0.454520i
$781$	3.52627	−	2.95889i	0.126180	−	0.105878i
$782$	−0.171439	−	0.972277i	−0.00613063	−	0.0347685i
$783$	−2.72885			−0.0975213
$784$	−1.38851	−	7.87465i	−0.0495898	−	0.281238i
$785$	4.19162	+	5.86496i	0.149605	+	0.209330i
$786$	9.35705	+	7.85150i	0.333755	+	0.280054i
$787$	−16.4519	+	9.49851i	−0.586447	+	0.338585i	−0.763691	−	0.645582i	$-0.776615\pi$
$787$	−16.4519	+	9.49851i	−0.586447	+	0.338585i	0.177244	+	0.984167i	$0.443282\pi$
$788$	15.6282	+	9.02293i	0.556731	+	0.321429i
$789$	27.9158	−	10.1605i	0.993827	−	0.361723i
$790$	5.48159	+	19.6953i	0.195026	+	0.700727i
$791$	−62.5015	+	36.0853i	−2.22230	+	1.28304i
$792$	0.788354	−	4.47098i	0.0280129	−	0.158869i
$793$	−24.5359	−	4.32634i	−0.871294	−	0.153633i
$794$	−0.272328	+	0.324547i	−0.00966455	+	0.0115178i
$795$	33.3670	+	32.7292i	1.18341	+	1.16078i
$796$	−4.12758	+	11.3404i	−0.146298	+	0.401951i
$797$	−29.3109	−	24.5947i	−1.03824	−	0.871190i	−0.0464355	−	0.998921i	$-0.514786\pi$
$797$	−29.3109	−	24.5947i	−1.03824	−	0.871190i	−0.991809	+	0.127731i	$0.959231\pi$
$798$	46.3967	+	8.18099i	1.64243	+	0.289604i
$799$	−1.21262	−	0.213818i	−0.0428995	−	0.00756434i
$800$	1.61910	−	4.73059i	0.0572439	−	0.167252i
$801$	−24.4201	−	29.1028i	−0.862842	−	1.02830i
$802$	5.10802	+	14.0342i	0.180370	+	0.495564i
$803$	−5.36977	−	3.10024i	−0.189495	−	0.109405i
$804$	−12.0668	−	20.9004i	−0.425564	−	0.737099i
$805$	−47.1614	+	22.5484i	−1.66222	+	0.794725i
$806$	20.0691	+	11.5869i	0.706905	+	0.408132i
$807$	−44.9358	+	7.92339i	−1.58181	+	0.278916i
$808$	−13.3745			−0.470512
$809$	14.0675	−	2.48047i	0.494586	−	0.0872088i	0.0792086	−	0.996858i	$-0.474761\pi$
$809$	14.0675	−	2.48047i	0.494586	−	0.0872088i	0.415377	+	0.909649i	$0.363650\pi$
$810$	−13.6126	+	3.78865i	−0.478298	+	0.133120i
$811$	−28.7034	−	10.4472i	−1.00791	−	0.366850i	−0.215282	−	0.976552i	$-0.569067\pi$
$811$	−28.7034	−	10.4472i	−1.00791	−	0.366850i	−0.792631	+	0.609702i	$0.791289\pi$
$812$	−1.25142	+	0.455481i	−0.0439163	+	0.0159842i
$813$			56.4140i			1.97853i
$814$	4.69144	−	1.23788i	0.164435	−	0.0433876i
$815$	−17.2842	−	7.85758i	−0.605438	−	0.275239i
$816$	−0.164901	−	0.453062i	−0.00577269	−	0.0158603i
$817$	−13.1593	+	36.1547i	−0.460384	+	1.26489i
$818$	−3.13456	−	3.73563i	−0.109597	−	0.130613i
$819$	58.5467	−	10.3234i	2.04579	−	0.360727i
$820$	−22.5918	−	10.2705i	−0.788940	−	0.358661i
$821$	4.10533	+	23.2825i	0.143277	+	0.812564i	0.968734	+	0.248100i	$0.0798061\pi$
$821$	4.10533	+	23.2825i	0.143277	+	0.812564i	−0.825458	+	0.564464i	$0.809083\pi$
$822$	−31.1324	+	53.9229i	−1.08587	+	1.88078i
$823$	8.89406	−	10.5995i	0.310028	−	0.369477i	−0.588421	−	0.808554i	$-0.700250\pi$
$823$	8.89406	−	10.5995i	0.310028	−	0.369477i	0.898449	+	0.439078i	$0.144695\pi$
$824$	−5.82874	−	10.0957i	−0.203054	−	0.351699i
$825$	2.26489	+	11.5380i	0.0788532	+	0.401700i
$826$	−17.8343	+	6.49115i	−0.620534	+	0.225856i
$827$	36.7036	−	30.7980i	1.27631	−	1.07095i	0.282568	−	0.959247i	$-0.408814\pi$
$827$	36.7036	−	30.7980i	1.27631	−	1.07095i	0.993742	−	0.111704i	$-0.0356308\pi$
$828$	−17.1797	−	29.7562i	−0.597037	−	1.03410i
$829$	18.7751	+	3.31056i	0.652086	+	0.114980i	0.489898	−	0.871780i	$-0.337034\pi$
$829$	18.7751	+	3.31056i	0.652086	+	0.114980i	0.162188	+	0.986760i	$0.448145\pi$
$830$	−14.7558	−	10.1213i	−0.512181	−	0.351316i
$831$	46.9688	−	55.9752i	1.62933	−	1.94176i
$832$	−2.53464	−	0.922534i	−0.0878728	−	0.0319831i
$833$	1.22882	+	0.447254i	0.0425761	+	0.0154964i
$834$	12.4891	−	14.8839i	0.432462	−	0.515388i
$835$	−25.5435	+	37.2397i	−0.883968	+	1.28873i
$836$	3.24167	+	0.571594i	0.112116	+	0.0197690i
$837$	34.0870	+	59.0405i	1.17822	+	2.04074i
$838$	2.02263	−	1.69719i	0.0698706	−	0.0586284i
$839$	29.5076	−	10.7399i	1.01871	−	0.370782i	0.221941	−	0.975060i	$-0.428761\pi$
$839$	29.5076	−	10.7399i	1.01871	−	0.370782i	0.796773	+	0.604278i	$0.206538\pi$
$840$	−20.7693	+	14.8436i	−0.716611	+	0.512153i
$841$	−14.4409	−	25.0123i	−0.497961	−	0.862494i
$842$	15.8312	−	18.8668i	0.545578	−	0.650194i
$843$	18.9246	−	32.7784i	0.651799	−	1.12895i
$844$	−0.258346	−	1.46515i	−0.00889263	−	0.0504326i
$845$	11.6528	+	5.29749i	0.400869	+	0.182239i
$846$	−42.2021	+	7.44136i	−1.45094	+	0.255839i
$847$	−25.7972	−	30.7440i	−0.886404	−	1.05637i
$848$	−2.42493	+	6.66245i	−0.0832725	+	0.228789i
$849$	23.3264	+	64.0888i	0.800561	+	2.19952i
$850$	0.537597	+	0.616132i	0.0184394	+	0.0211331i
$851$	21.1772	−	29.9995i	0.725944	−	1.02837i
$852$		−	17.0134i		−	0.582868i
$853$	−13.6179	+	4.95650i	−0.466267	+	0.169707i	−0.564461	−	0.825460i	$-0.690916\pi$
$853$	−13.6179	+	4.95650i	−0.466267	+	0.169707i	0.0981933	+	0.995167i	$0.468694\pi$
$854$	−33.6120	−	12.2338i	−1.15018	−	0.418631i
$855$	−14.0817	−	50.5955i	−0.481585	−	1.73033i
$856$	−13.6392	+	2.40497i	−0.466180	+	0.0822001i
$857$	5.95010			0.203252			0.101626	−	0.994823i	$-0.467596\pi$
$857$	5.95010			0.203252			0.101626	+	0.994823i	$0.467596\pi$
$858$	6.24670	−	1.10146i	0.213259	−	0.0376033i
$859$	−28.8645	−	16.6649i	−0.984842	−	0.568599i	−0.0811138	−	0.996705i	$-0.525848\pi$
$859$	−28.8645	−	16.6649i	−0.984842	−	0.568599i	−0.903729	+	0.428106i	$0.859181\pi$
$860$	−8.99273	−	18.8089i	−0.306650	−	0.641379i
$861$	63.3532	+	109.731i	2.15907	+	3.73962i
$862$	15.5667	+	8.98746i	0.530205	+	0.306114i
$863$	9.77575	+	26.8587i	0.332770	+	0.914279i	0.987388	+	0.158319i	$0.0506074\pi$
$863$	9.77575	+	26.8587i	0.332770	+	0.914279i	−0.654618	+	0.755960i	$0.727170\pi$
$864$	−5.10058	−	6.07863i	−0.173525	−	0.206799i
$865$	27.7352	−	2.69646i	0.943025	−	0.0916825i
$866$	21.7216	+	3.83010i	0.738129	+	0.130152i
$867$	−49.2794	−	8.68929i	−1.67362	−	0.295104i
$868$	25.4866	+	21.3858i	0.865070	+	0.725880i
$869$	2.49431	−	6.85306i	0.0846136	−	0.232474i
$870$	1.61845	+	1.58751i	0.0548705	+	0.0538215i
$871$	14.1929	−	16.9145i	0.480910	−	0.573126i
$872$	6.30149	+	1.11112i	0.213395	+	0.0376273i
$873$	−14.9864	+	84.9922i	−0.507213	+	2.87655i
$874$	21.5746	−	12.4561i	0.729773	−	0.421335i
$875$	23.7963	−	36.1698i	0.804462	−	1.22276i
$876$	−21.5347	+	7.83800i	−0.727591	+	0.264821i
$877$	−35.4666	−	20.4767i	−1.19762	−	0.691448i	−0.237598	−	0.971363i	$-0.576360\pi$
$877$	−35.4666	−	20.4767i	−1.19762	−	0.691448i	−0.960025	+	0.279916i	$0.909694\pi$
$878$	−11.3058	+	6.52738i	−0.381551	+	0.220288i
$879$	−38.9591	−	32.6906i	−1.31406	−	1.10263i
$880$	−1.45113	+	1.03710i	−0.0489174	+	0.0349607i
$881$	4.92660	+	27.9401i	0.165981	+	0.941327i	0.948047	+	0.318131i	$0.103055\pi$
$881$	4.92660	+	27.9401i	0.165981	+	0.941327i	−0.782065	+	0.623196i	$0.785834\pi$
$882$	45.5104			1.53241
$883$	3.47457	+	19.7053i	0.116929	+	0.663136i	0.985777	+	0.168058i	$0.0537494\pi$
$883$	3.47457	+	19.7053i	0.116929	+	0.663136i	−0.868848	+	0.495078i	$0.835139\pi$
$884$	0.337915	−	0.283544i	0.0113653	−	0.00953662i
$885$	23.0648	+	22.6239i	0.775316	+	0.760494i
$886$	−10.0318	−	27.5620i	−0.337024	−	0.925965i
$887$		−	38.6910i		−	1.29912i	−0.760312	−	0.649558i	$-0.774954\pi$
$887$		−	38.6910i		−	1.29912i	0.760312	−	0.649558i	$-0.225046\pi$
$888$	7.64079	−	16.2236i	0.256408	−	0.544429i
$889$	−55.5729			−1.86385
$890$	−1.15731	+	14.8808i	−0.0387930	+	0.498804i
$891$	4.73656	+	1.72397i	0.158681	+	0.0577550i
$892$	−9.96645	−	11.8776i	−0.333701	−	0.397690i
$893$	−5.39534	−	30.5985i	−0.180548	−	1.02394i
$894$			18.3676i			0.614306i
$895$	5.13165	+	1.32208i	0.171532	+	0.0441921i
$896$	−3.35367	−	1.93624i	−0.112038	−	0.0646853i
$897$	30.8576	−	36.7747i	1.03031	−	1.22787i
$898$	25.1804	−	14.5379i	0.840282	−	0.485137i
$899$	1.47729	−	2.55874i	0.0492704	−	0.0853389i
$900$	24.9152	+	13.7506i	0.830506	+	0.458353i
$901$	−0.745312	−	0.888229i	−0.0248300	−	0.0295912i
$902$	4.42640	+	7.66675i	0.147383	+	0.255275i
$903$	−18.4838	+	104.827i	−0.615101	+	3.48841i
$904$	−3.23624	+	18.3536i	−0.107636	+	0.610432i
$905$	9.36515	+	19.5879i	0.311308	+	0.651122i
$906$	0.802488	−	2.20482i	0.0266609	−	0.0732502i
$907$	−31.8558	−	11.5946i	−1.05775	−	0.384991i	−0.246170	−	0.969227i	$-0.579172\pi$
$907$	−31.8558	−	11.5946i	−1.05775	−	0.384991i	−0.811584	+	0.584236i	$0.801394\pi$
$908$	−1.92572	−	1.61587i	−0.0639073	−	0.0536246i
$909$	13.2184	−	74.9651i	0.438426	−	2.48644i
$910$	−19.2608	−	13.2114i	−0.638489	−	0.437953i
$911$	24.7495	−	14.2891i	0.819986	−	0.473419i	−0.0304254	−	0.999537i	$-0.509686\pi$
$911$	24.7495	−	14.2891i	0.819986	−	0.473419i	0.850412	+	0.526118i	$0.176353\pi$
$912$	9.31966	−	7.82012i	0.308605	−	0.258950i
$913$	2.18313	+	5.99811i	0.0722512	+	0.198509i
$914$	1.73706	−	3.00868i	0.0574569	−	0.0995182i
$915$	5.89215	+	60.6053i	0.194788	+	2.00355i
$916$	10.6821	+	8.96334i	0.352946	+	0.296157i
$917$	−8.02224	+	13.8949i	−0.264918	+	0.458851i
$918$	1.27799	−	0.225343i	0.0421798	−	0.00743744i
$919$		−	43.0419i		−	1.41982i	−0.704292	−	0.709910i	$-0.748736\pi$
$919$		−	43.0419i		−	1.41982i	0.704292	−	0.709910i	$-0.251264\pi$
$920$	−3.36780	+	13.0721i	−0.111033	+	0.430975i
$921$	16.6897	−	14.0043i	0.549943	−	0.461457i
$922$	2.90999	−	7.99514i	0.0958355	−	0.263306i
$923$	14.6271	−	5.32382i	0.481456	−	0.175236i
$924$	9.10665			0.299587
$925$	−2.18140	+	30.3355i	−0.0717239	+	0.997425i
$926$	17.1278			0.562855
$927$	62.3478	−	22.6927i	2.04777	−	0.745327i
$928$	−0.117620	+	0.323158i	−0.00386106	+	0.0106082i
$929$	2.01884	−	1.69401i	0.0662360	−	0.0555786i	−0.609069	−	0.793118i	$-0.708457\pi$
$929$	2.01884	−	1.69401i	0.0662360	−	0.0555786i	0.675305	+	0.737539i	$0.264012\pi$
$930$	14.1301	−	54.8462i	0.463345	−	1.79848i
$931$			32.9972i			1.08144i
$932$	−9.79731	+	1.72753i	−0.320922	+	0.0565871i
$933$	4.69669	−	8.13490i	0.153763	−	0.266325i
$934$	−24.6535	−	20.6867i	−0.806687	−	0.676891i
$935$	−0.0282259	−	0.290326i	−0.000923087	−	0.00949466i
$936$	7.67594	−	13.2951i	0.250896	−	0.434564i
$937$	1.12300	+	3.08542i	0.0366869	+	0.100796i	0.956684	−	0.291130i	$-0.0940311\pi$
$937$	1.12300	+	3.08542i	0.0366869	+	0.100796i	−0.919997	+	0.391926i	$0.871809\pi$
$938$	24.2839	−	20.3766i	0.792897	−	0.665319i
$939$	63.1368	−	36.4521i	2.06039	−	1.18957i
$940$	13.8837	+	9.52314i	0.452837	+	0.310610i
$941$	−0.269228	+	1.52687i	−0.00877657	+	0.0497744i	−0.988882	−	0.148706i	$-0.952489\pi$
$941$	−0.269228	+	1.52687i	−0.00877657	+	0.0497744i	0.980105	+	0.198480i	$0.0636005\pi$
$942$	−7.28087	−	6.10938i	−0.237224	−	0.199054i
$943$	62.9596	+	22.9154i	2.05025	+	0.746228i
$944$	−1.67622	+	4.60539i	−0.0545565	+	0.149893i
$945$	−29.6381	−	61.9902i	−0.964129	−	2.01654i
$946$	−1.29144	+	7.32409i	−0.0419882	+	0.238127i
$947$	−5.84127	+	33.1275i	−0.189816	+	1.07650i	0.729794	+	0.683667i	$0.239616\pi$
$947$	−5.84127	+	33.1275i	−0.189816	+	1.07650i	−0.919610	+	0.392832i	$0.871495\pi$
$948$	−13.4771	−	23.3431i	−0.437716	−	0.758147i
$949$	−13.4773	−	16.0616i	−0.437491	−	0.521382i
$950$	−9.96983	+	18.0647i	−0.323464	+	0.586096i
$951$	−42.0246	+	72.7888i	−1.36274	+	2.36034i
$952$	0.548458	−	0.316652i	0.0177756	−	0.0102628i
$953$	−0.403689	+	0.481098i	−0.0130768	+	0.0155843i	−0.772543	−	0.634962i	$-0.781016\pi$
$953$	−0.403689	+	0.481098i	−0.0130768	+	0.0155843i	0.759466	+	0.650547i	$0.225460\pi$
$954$	−34.9470	−	20.1766i	−1.13145	−	0.653243i
$955$	−25.6597	−	6.61076i	−0.830328	−	0.213919i
$956$			16.9933i			0.549601i
$957$	−0.140433	−	0.796433i	−0.00453954	−	0.0257450i
$958$	−6.98755	−	8.32744i	−0.225758	−	0.269047i
$959$	−76.8545	−	27.9728i	−2.48176	−	0.903287i
$960$	−0.511149	+	6.57240i	−0.0164973	+	0.212123i
$961$	−42.8134			−1.38108
$962$	16.3391	+	1.49240i	0.526793	+	0.0481170i
$963$		−	78.8260i		−	2.54013i
$964$	5.50076	+	15.1132i	0.177168	+	0.486764i
$965$	−8.22628	−	8.06902i	−0.264813	−	0.259751i
$966$	52.7968	−	44.3018i	1.69871	−	1.42539i
$967$	1.91892	+	10.8827i	0.0617083	+	0.349965i	0.999992	+	0.00409744i	$0.00130426\pi$
$967$	1.91892	+	10.8827i	0.0617083	+	0.349965i	−0.938283	+	0.345868i	$0.887585\pi$
$968$	−10.3637			−0.333103
$969$	0.345493	+	1.95939i	0.0110988	+	0.0629446i
$970$	27.5855	−	19.7150i	0.885718	−	0.633012i
$971$	−30.8491	−	25.8855i	−0.989995	−	0.830704i	−0.00442767	−	0.999990i	$-0.501409\pi$
$971$	−30.8491	−	25.8855i	−0.989995	−	0.830704i	−0.985567	+	0.169286i	$0.945854\pi$
$972$	−4.48219	+	2.58779i	−0.143766	+	0.0830035i
$973$	22.1022	+	12.7607i	0.708564	+	0.409089i
$974$	24.7645	−	9.01352i	0.793504	−	0.288812i
$975$	−6.14729	+	39.2822i	−0.196871	+	1.25804i
$976$	−7.99927	+	4.61838i	−0.256050	+	0.147831i
$977$	−7.42269	+	42.0962i	−0.237473	+	1.34678i	0.599870	+	0.800097i	$0.295219\pi$
$977$	−7.42269	+	42.0962i	−0.237473	+	1.34678i	−0.837343	+	0.546678i	$0.815892\pi$
$978$	24.6524	+	4.34688i	0.788295	+	0.138998i
$979$	3.42245	−	4.07872i	0.109382	−	0.130356i
$980$	−12.7644	−	12.5204i	−0.407744	−	0.399949i
$981$	−12.4559	+	34.2222i	−0.397685	+	1.09263i
$982$	−1.04273	−	0.874954i	−0.0332748	−	0.0279209i
$983$	42.9485	+	7.57298i	1.36984	+	0.241541i	0.809695	−	0.586851i	$-0.199633\pi$
$983$	42.9485	+	7.57298i	1.36984	+	0.241541i	0.560149	+	0.828392i	$0.310744\pi$
$984$	32.2226	+	5.68171i	1.02722	+	0.181126i
$985$	40.1624	−	3.90466i	1.27968	−	0.124413i
$986$	−0.0361509	−	0.0430829i	−0.00115128	−	0.00137204i
$987$	−29.3996	−	80.7747i	−0.935799	−	2.57109i
$988$	9.63959	+	5.56542i	0.306676	+	0.177060i
$989$	28.1428	+	48.7448i	0.894890	+	1.54999i
$990$	−4.37886	−	9.15868i	−0.139169	−	0.291082i
$991$	12.1673	+	7.02480i	0.386507	+	0.223150i	0.680646	−	0.732613i	$-0.261699\pi$
$991$	12.1673	+	7.02480i	0.386507	+	0.223150i	−0.294138	+	0.955763i	$0.595033\pi$
$992$	8.46095	−	1.49189i	0.268635	−	0.0473677i
$993$	−46.4680			−1.47462
$994$	22.0081	−	3.88062i	0.698054	−	0.123086i
$995$	7.23555	+	25.9973i	0.229382	+	0.824168i
$996$	22.1688	+	8.06880i	0.702447	+	0.255670i
$997$	45.5813	−	16.5902i	1.44358	−	0.525418i	0.502786	−	0.864411i	$-0.332308\pi$
$997$	45.5813	−	16.5902i	1.44358	−	0.525418i	0.940789	+	0.338992i	$0.110086\pi$
$998$			11.5795i			0.366543i
$999$	39.4322	+	27.8358i	1.24758	+	0.880686i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.v.a.289.9	yes	60
5.4	even	2		370.2.v.b.289.2	yes	60
37.21	even	18		370.2.v.b.169.2	yes	60
185.169	even	18	inner	370.2.v.a.169.9	✓	60

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.v.a.169.9	✓	60	185.169	even	18	inner
370.2.v.a.289.9	yes	60	1.1	even	1	trivial
370.2.v.b.169.2	yes	60	37.21	even	18
370.2.v.b.289.2	yes	60	5.4	even	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 370 = 2 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	370.v (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.939693 + 0.342020i) q^{2} +(1.00832 - 2.77035i) q^{3} +(0.766044 - 0.642788i) q^{4} +(0.557866 - 2.16536i) q^{5} +2.94814i q^{6} +(-3.81365 + 0.672450i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-4.35998 - 3.65846i) q^{9} +O(q^{10})\)	\(q+(-0.939693 + 0.342020i) q^{2} +(1.00832 - 2.77035i) q^{3} +(0.766044 - 0.642788i) q^{4} +(0.557866 - 2.16536i) q^{5} +2.94814i q^{6} +(-3.81365 + 0.672450i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-4.35998 - 3.65846i) q^{9} +(0.216374 + 2.22557i) q^{10} +(0.398832 - 0.690798i) q^{11} +(-1.00832 - 2.77035i) q^{12} +(2.06626 - 1.73380i) q^{13} +(3.35367 - 1.93624i) q^{14} +(-5.43629 - 3.72887i) q^{15} +(0.173648 - 0.984808i) q^{16} +(0.125279 + 0.105121i) q^{17} +(5.34831 + 1.94663i) q^{18} +(-1.41140 + 3.87778i) q^{19} +(-0.964516 - 2.01735i) q^{20} +(-1.98248 + 11.2432i) q^{21} +(-0.138513 + 0.785546i) q^{22} +(3.01846 + 5.22813i) q^{23} +(1.89503 + 2.25841i) q^{24} +(-4.37757 - 2.41596i) q^{25} +(-1.34865 + 2.33594i) q^{26} +(-6.87199 + 3.96754i) q^{27} +(-2.48918 + 2.96649i) q^{28} +(0.297824 + 0.171949i) q^{29} +(6.38379 + 1.64467i) q^{30} -8.59147i q^{31} +(0.173648 + 0.984808i) q^{32} +(-1.51160 - 1.80145i) q^{33} +(-0.153677 - 0.0559338i) q^{34} +(-0.671412 + 8.63307i) q^{35} -5.69155 q^{36} +(-2.54961 - 5.52264i) q^{37} -4.12665i q^{38} +(-2.71976 - 7.47248i) q^{39} +(1.59632 + 1.56581i) q^{40} +(8.50186 - 7.13391i) q^{41} +(-1.98248 - 11.2432i) q^{42} +9.32357 q^{43} +(-0.138513 - 0.785546i) q^{44} +(-10.3542 + 7.40000i) q^{45} +(-4.62455 - 3.88046i) q^{46} +(-6.52052 + 3.76462i) q^{47} +(-2.55317 - 1.47407i) q^{48} +(7.51390 - 2.73484i) q^{49} +(4.93988 + 0.773045i) q^{50} +(0.417544 - 0.241069i) q^{51} +(0.468383 - 2.65633i) q^{52} +(-6.98232 - 1.23117i) q^{53} +(5.10058 - 6.07863i) q^{54} +(-1.27333 - 1.24899i) q^{55} +(1.32447 - 3.63894i) q^{56} +(9.31966 + 7.82012i) q^{57} +(-0.338673 - 0.0597171i) q^{58} +(-4.82650 - 0.851041i) q^{59} +(-6.56131 + 0.637902i) q^{60} +(-5.93727 - 7.07577i) q^{61} +(2.93846 + 8.07334i) q^{62} +(19.0876 + 11.0202i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-2.60160 - 5.44142i) q^{65} +(2.03657 + 1.17582i) q^{66} +(8.06169 - 1.42149i) q^{67} +0.163540 q^{68} +(17.5273 - 3.09054i) q^{69} +(-2.32176 - 8.34207i) q^{70} +(5.42285 + 1.97375i) q^{71} +(5.34831 - 1.94663i) q^{72} -7.77329i q^{73} +(4.28470 + 4.31756i) q^{74} +(-11.1071 + 9.69132i) q^{75} +(1.41140 + 3.87778i) q^{76} +(-1.05648 + 2.90266i) q^{77} +(5.11148 + 6.09163i) q^{78} +(9.00388 - 1.58763i) q^{79} +(-2.03559 - 0.925402i) q^{80} +(1.09730 + 6.22312i) q^{81} +(-5.54920 + 9.61149i) q^{82} +(-5.14370 + 6.13003i) q^{83} +(5.70832 + 9.88710i) q^{84} +(0.297514 - 0.212630i) q^{85} +(-8.76129 + 3.18885i) q^{86} +(0.776661 - 0.651696i) q^{87} +(0.398832 + 0.690798i) q^{88} +(6.57356 + 1.15910i) q^{89} +(7.19879 - 10.4951i) q^{90} +(-6.71410 + 8.00155i) q^{91} +(5.67285 + 2.06475i) q^{92} +(-23.8014 - 8.66299i) q^{93} +(4.83971 - 5.76774i) q^{94} +(7.60942 + 5.21947i) q^{95} +(2.90336 + 0.511940i) q^{96} +(-7.58170 - 13.1319i) q^{97} +(-6.12539 + 5.13981i) q^{98} +(-4.26616 + 1.55275i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9}+O(q^{10}) \) 60 * q - 3 * q^5 - 30 * q^8 - 6 * q^9	\( 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9} + 9 q^{10} + 6 q^{11} - 3 q^{13} + 9 q^{14} + 18 q^{15} + 3 q^{17} + 12 q^{18} + 3 q^{19} - 6 q^{20} + 12 q^{21} - 3 q^{22} - 18 q^{23} - 15 q^{25} - 27 q^{26} + 6 q^{30} - 66 q^{33} + 21 q^{34} - 3 q^{35} - 72 q^{36} + 6 q^{37} + 12 q^{39} + 6 q^{40} - 57 q^{41} + 12 q^{42} + 60 q^{43} - 3 q^{44} + 45 q^{45} - 21 q^{46} - 18 q^{47} - 6 q^{49} + 36 q^{50} - 3 q^{52} - 6 q^{53} + 3 q^{55} + 30 q^{57} + 15 q^{58} - 12 q^{59} + 9 q^{60} + 42 q^{61} - 12 q^{62} - 9 q^{63} - 30 q^{64} - 30 q^{65} - 18 q^{67} - 24 q^{68} + 36 q^{69} + 18 q^{71} + 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} + 21 q^{77} + 6 q^{78} - 24 q^{79} - 36 q^{81} + 27 q^{82} + 30 q^{83} + 12 q^{84} + 33 q^{85} - 18 q^{86} - 30 q^{87} + 6 q^{88} + 3 q^{89} - 3 q^{90} + 57 q^{91} + 15 q^{92} + 60 q^{93} + 3 q^{94} - 150 q^{95} + 84 q^{97} - 6 q^{98} - 45 q^{99}+O(q^{100}) \) 60 * q - 3 * q^5 - 30 * q^8 - 6 * q^9 + 9 * q^10 + 6 * q^11 - 3 * q^13 + 9 * q^14 + 18 * q^15 + 3 * q^17 + 12 * q^18 + 3 * q^19 - 6 * q^20 + 12 * q^21 - 3 * q^22 - 18 * q^23 - 15 * q^25 - 27 * q^26 + 6 * q^30 - 66 * q^33 + 21 * q^34 - 3 * q^35 - 72 * q^36 + 6 * q^37 + 12 * q^39 + 6 * q^40 - 57 * q^41 + 12 * q^42 + 60 * q^43 - 3 * q^44 + 45 * q^45 - 21 * q^46 - 18 * q^47 - 6 * q^49 + 36 * q^50 - 3 * q^52 - 6 * q^53 + 3 * q^55 + 30 * q^57 + 15 * q^58 - 12 * q^59 + 9 * q^60 + 42 * q^61 - 12 * q^62 - 9 * q^63 - 30 * q^64 - 30 * q^65 - 18 * q^67 - 24 * q^68 + 36 * q^69 + 18 * q^71 + 12 * q^72 + 3 * q^74 - 78 * q^75 - 3 * q^76 + 21 * q^77 + 6 * q^78 - 24 * q^79 - 36 * q^81 + 27 * q^82 + 30 * q^83 + 12 * q^84 + 33 * q^85 - 18 * q^86 - 30 * q^87 + 6 * q^88 + 3 * q^89 - 3 * q^90 + 57 * q^91 + 15 * q^92 + 60 * q^93 + 3 * q^94 - 150 * q^95 + 84 * q^97 - 6 * q^98 - 45 * q^99

Introduction

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