LMFDB - Embedded newform 370.2.v.b.289.2

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			289.2
Character	$\chi$	$=$	370.289
Dual form			370.2.v.b.169.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.939693 - 0.342020i) q^{2} +(-1.00832 + 2.77035i) q^{3} +(0.766044 - 0.642788i) q^{4} +(1.26482 + 1.84397i) q^{5} +2.94814i q^{6} +(3.81365 - 0.672450i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-4.35998 - 3.65846i) q^{9} +O(q^{10})$	\(q+(0.939693 - 0.342020i) q^{2} +(-1.00832 + 2.77035i) q^{3} +(0.766044 - 0.642788i) q^{4} +(1.26482 + 1.84397i) q^{5} +2.94814i q^{6} +(3.81365 - 0.672450i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-4.35998 - 3.65846i) q^{9} +(1.81922 + 1.30017i) 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} +(-6.38379 + 1.64467i) 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} +(2.15419 + 0.599554i) 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} +(-1.80046 + 4.66458i) 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} +(-5.43629 + 3.72887i) q^{30} -8.59147i q^{31} +(-0.173648 - 0.984808i) q^{32} +(1.51160 + 1.80145i) q^{33} +(-0.153677 - 0.0559338i) q^{34} +(6.06356 + 6.18174i) q^{35} -5.69155 q^{36} +(2.54961 + 5.52264i) q^{37} +4.12665i q^{38} +(-2.71976 - 7.47248i) q^{39} +(2.22934 - 0.173380i) q^{40} +(8.50186 - 7.13391i) q^{41} +(1.98248 + 11.2432i) q^{42} -9.32357 q^{43} +(-0.138513 - 0.785546i) q^{44} +(1.23150 - 12.6670i) 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} +(-0.0965003 + 4.99907i) 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} +(1.77826 - 0.138299i) 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} +(-3.83310 + 5.36331i) 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} +(-5.81051 - 1.61718i) q^{65} +(2.03657 + 1.17582i) q^{66} +(-8.06169 + 1.42149i) q^{67} -0.163540 q^{68} +(17.5273 - 3.09054i) q^{69} +(7.81216 + 3.73507i) 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} +(0.0353857 - 0.363969i) 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} +(-3.17513 - 12.3243i) 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} +(-8.93568 + 2.30212i) 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 + 6 q^{5} + 30 q^{8} - 6 q^{9}+O(q^{10}) $ 60 * q + 6 * q^5 + 30 * q^8 - 6 * q^9	$ 60 q + 6 q^{5} + 30 q^{8} - 6 q^{9} - 9 q^{10} + 6 q^{11} + 3 q^{13} + 9 q^{14} - 6 q^{15} - 3 q^{17} - 12 q^{18} + 3 q^{19} + 3 q^{20} + 12 q^{21} + 3 q^{22} + 18 q^{23} - 18 q^{25} - 27 q^{26} + 18 q^{30} + 66 q^{33} + 21 q^{34} + 9 q^{35} - 72 q^{36} - 6 q^{37} + 12 q^{39} + 12 q^{40} - 57 q^{41} - 12 q^{42} - 60 q^{43} - 3 q^{44} + 9 q^{45} - 21 q^{46} + 18 q^{47} - 6 q^{49} + 6 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} - 15 q^{65} + 18 q^{67} + 24 q^{68} + 36 q^{69} - 12 q^{70} + 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} - 30 q^{85} - 18 q^{86} + 30 q^{87} - 6 q^{88} + 3 q^{89} + 57 q^{91} - 15 q^{92} - 60 q^{93} + 3 q^{94} + 6 q^{95} - 84 q^{97} + 6 q^{98} - 45 q^{99}+O(q^{100}) $ 60 * q + 6 * q^5 + 30 * q^8 - 6 * q^9 - 9 * q^10 + 6 * q^11 + 3 * q^13 + 9 * q^14 - 6 * q^15 - 3 * q^17 - 12 * q^18 + 3 * q^19 + 3 * q^20 + 12 * q^21 + 3 * q^22 + 18 * q^23 - 18 * q^25 - 27 * q^26 + 18 * q^30 + 66 * q^33 + 21 * q^34 + 9 * q^35 - 72 * q^36 - 6 * q^37 + 12 * q^39 + 12 * q^40 - 57 * q^41 - 12 * q^42 - 60 * q^43 - 3 * q^44 + 9 * q^45 - 21 * q^46 + 18 * q^47 - 6 * q^49 + 6 * 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 - 15 * q^65 + 18 * q^67 + 24 * q^68 + 36 * q^69 - 12 * q^70 + 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 - 30 * q^85 - 18 * q^86 + 30 * q^87 - 6 * q^88 + 3 * q^89 + 57 * q^91 - 15 * q^92 - 60 * q^93 + 3 * q^94 + 6 * 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	$0.435148\pi$
$3$	−1.00832	+	2.77035i	−0.582157	+	1.59946i	−0.784487	+	0.620145i	$0.787074\pi$
$4$	0.766044	−	0.642788i	0.383022	−	0.321394i
$5$	1.26482	+	1.84397i	0.565645	+	0.824649i
$5$	1.26482	+	1.84397i	0.565645	+	0.824649i
$6$			2.94814i			1.20357i
$7$	3.81365	−	0.672450i	1.44142	−	0.254162i	0.602374	−	0.798214i	$-0.294222\pi$
$7$	3.81365	−	0.672450i	1.44142	−	0.254162i	0.839051	+	0.544052i	$0.183111\pi$
$8$	0.500000	−	0.866025i	0.176777	−	0.306186i
$9$	−4.35998	−	3.65846i	−1.45333	−	1.21949i
$10$	1.81922	+	1.30017i	0.575287	+	0.411151i
$11$	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	−0.882665	−	0.470002i	$-0.844253\pi$
$13$	−2.06626	+	1.73380i	−0.573077	+	0.480868i	0.309589	+	0.950871i	$0.399809\pi$
$14$	3.35367	−	1.93624i	0.896306	−	0.517482i
$15$	−6.38379	+	1.64467i	−1.64829	+	0.424652i
$16$	0.173648	−	0.984808i	0.0434120	−	0.246202i
$17$	−0.125279	−	0.105121i	−0.0303845	−	0.0254956i	0.627469	−	0.778642i	$-0.284091\pi$
$17$	−0.125279	−	0.105121i	−0.0303845	−	0.0254956i	−0.657853	+	0.753146i	$0.728535\pi$
$18$	−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	$0.954152\pi$
$20$	2.15419	+	0.599554i	0.481692	+	0.134064i
$21$	−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	$-0.949970\pi$
$23$	−3.01846	−	5.22813i	−0.629393	−	1.09014i	0.358281	−	0.933614i	$-0.383363\pi$
$24$	1.89503	+	2.25841i	0.386821	+	0.460996i
$25$	−1.80046	+	4.66458i	−0.360093	+	0.932917i
$26$	−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	$0.656501\pi$
$30$	−5.43629	+	3.72887i	−0.992527	+	0.680795i
$31$		−	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
$35$	6.06356	+	6.18174i	1.02493	+	1.04490i
$36$	−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
$40$	2.22934	−	0.173380i	0.352489	−	0.0274138i
$41$	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	$-0.751719\pi$
$43$	−9.32357			−1.42183			−0.710915	+	0.703278i	$0.751719\pi$
$44$	−0.138513	−	0.785546i	−0.0208816	−	0.118426i
$45$	1.23150	−	12.6670i	0.183582	−	1.88828i
$46$	−4.62455	−	3.88046i	−0.681853	−	0.572143i
$47$	6.52052	−	3.76462i	0.951115	−	0.549127i	0.0576880	−	0.998335i	$-0.481627\pi$
$47$	6.52052	−	3.76462i	0.951115	−	0.549127i	0.893427	+	0.449208i	$0.148294\pi$
$48$	2.55317	+	1.47407i	0.368518	+	0.212764i
$49$	7.51390	−	2.73484i	1.07341	−	0.390691i
$50$	−0.0965003	+	4.99907i	−0.0136472	+	0.706975i
$51$	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	0.631217	−	0.775606i	$-0.282556\pi$
$53$	6.98232	+	1.23117i	0.959095	+	0.169114i	0.327877	+	0.944720i	$0.393667\pi$
$54$	5.10058	−	6.07863i	0.694100	−	0.827197i
$55$	1.77826	−	0.138299i	0.239781	−	0.0186483i
$56$	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	$0.658911\pi$
$60$	−3.83310	+	5.36331i	−0.494851	+	0.692401i
$61$	−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
$65$	−5.81051	−	1.61718i	−0.720706	−	0.200587i
$66$	2.03657	+	1.17582i	0.250685	+	0.144733i
$67$	−8.06169	+	1.42149i	−0.984892	+	0.173663i	−0.642825	−	0.766013i	$-0.722238\pi$
$67$	−8.06169	+	1.42149i	−0.984892	+	0.173663i	−0.342067	+	0.939676i	$0.611127\pi$
$68$	−0.163540			−0.0198321
$69$	17.5273	−	3.09054i	2.11004	−	0.372058i
$70$	7.81216	+	3.73507i	0.933732	+	0.446427i
$71$	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	$0.150324\pi$
$73$			7.77329i			0.909794i	−0.890544	+	0.454897i	$0.849676\pi$
$74$	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	−0.405917	−	0.913910i	$-0.633048\pi$
$83$	5.14370	−	6.13003i	0.564595	−	0.672858i	0.970512	+	0.241052i	$0.0774924\pi$
$84$	5.70832	+	9.88710i	0.622829	+	1.07877i
$85$	0.0353857	−	0.363969i	0.00383812	−	0.0394780i
$86$	−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	$0.440454\pi$
$90$	−3.17513	−	12.3243i	−0.334688	−	1.29909i
$91$	−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
$95$	−8.93568	+	2.30212i	−0.916781	+	0.236192i
$96$	2.90336	+	0.511940i	0.296322	+	0.0522496i
$97$	7.58170	+	13.1319i	0.769805	+	1.33334i	0.937668	+	0.347531i	$0.112980\pi$
$97$	7.58170	+	13.1319i	0.769805	+	1.33334i	−0.167863	+	0.985810i	$0.553687\pi$
$98$	6.12539	−	5.13981i	0.618758	−	0.519200i
$99$	−4.26616	+	1.55275i	−0.428765	+	0.156058i
$100$	1.61910	+	4.73059i	0.161910	+	0.473059i
$101$	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	$-0.638599\pi$
$103$	5.82874	−	10.0957i	0.574323	−	0.994756i	0.996115	−	0.0880634i	$-0.0280678\pi$
$104$	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	$-0.988753\pi$
$107$	−8.90238	−	10.6094i	−0.860626	−	1.02565i	0.138750	−	0.990327i	$-0.455692\pi$
$108$	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	−0.988321	−	0.152386i	$-0.951304\pi$
$113$	−17.5128	+	6.37414i	−1.64747	+	0.599629i	−0.659146	+	0.752015i	$0.729082\pi$
$114$	−11.4323	−	4.16100i	−1.07073	−	0.389713i
$115$	5.82271	−	12.1786i	0.542971	−	1.13566i
$116$	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
$120$	−1.76757	+	6.35086i	−0.161356	+	0.579752i
$121$	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
$125$	−10.8786	+	2.57985i	−0.973013	+	0.230749i
$126$	−21.7056	−	3.82728i	−1.93369	−	0.340962i
$127$	−14.1327	−	2.49197i	−1.25407	−	0.221127i	−0.493136	−	0.869952i	$-0.664149\pi$
$127$	−14.1327	−	2.49197i	−1.25407	−	0.221127i	−0.760937	+	0.648825i	$0.775261\pi$
$128$	−0.766044	−	0.642788i	−0.0677094	−	0.0568149i
$129$	9.40118	−	25.8295i	0.827728	−	2.27416i
$130$	−6.01321	+	0.467659i	−0.527393	+	0.0410164i
$131$	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
$135$	16.0079	+	7.65352i	1.37774	+	0.658710i
$136$	−0.153677	+	0.0559338i	−0.0131777	+	0.00479629i
$137$	−18.2905	−	10.5600i	−1.56266	−	0.902202i	−0.996987	−	0.0775718i	$-0.975283\pi$
$137$	−18.2905	−	10.5600i	−1.56266	−	0.902202i	−0.565673	−	0.824630i	$-0.691383\pi$
$138$	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	$0.812390\pi$
$140$	8.61850	+	0.837905i	0.728396	+	0.0708159i
$141$	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
$145$	0.0596249	+	0.766662i	0.00495158	+	0.0636678i
$146$	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	$0.417859\pi$
$150$	−13.7519	−	5.30802i	−1.12283	−	0.433398i
$151$	−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
$155$	15.8424	−	10.8667i	1.27249	−	0.872831i
$156$	−6.88668	−	3.97603i	−0.551376	−	0.318337i
$157$	2.07228	−	2.46965i	0.165386	−	0.197099i	−0.676986	−	0.735996i	$-0.736714\pi$
$157$	2.07228	−	2.46965i	0.165386	−	0.197099i	0.842372	+	0.538897i	$0.181159\pi$
$158$	7.91788	−	4.57139i	0.629913	−	0.363680i
$159$	−10.4512	+	18.1020i	−0.828835	+	1.43558i
$160$	1.59632	−	1.56581i	0.126200	−	0.123788i
$161$	−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	$0.163459\pi$
$163$	−1.47444	+	8.36199i	−0.115487	+	0.654962i	−0.986508	+	0.163715i	$0.947652\pi$
$164$	1.92722	−	10.9298i	0.150490	−	0.853473i
$165$	−1.40993	+	5.06586i	−0.109763	+	0.394377i
$166$	2.73691	−	7.51959i	0.212425	−	0.583634i
$167$	18.9774	+	6.90722i	1.46852	+	0.534496i	0.947697	−	0.319170i	$-0.103404\pi$
$167$	18.9774	+	6.90722i	1.46852	+	0.534496i	0.520820	+	0.853667i	$0.325626\pi$
$168$	8.74565	+	7.33847i	0.674742	+	0.566176i
$169$	−0.994054	+	5.63756i	−0.0764657	+	0.433659i
$170$	−0.0912332	−	0.354122i	−0.00699727	−	0.0271599i
$171$	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	$-0.954016\pi$
$173$	−4.26227	−	11.7105i	−0.324054	−	0.890332i	0.665529	−	0.746372i	$-0.268206\pi$
$174$	−0.506929	+	0.878027i	−0.0384302	+	0.0665631i
$175$	−3.72964	+	18.9998i	−0.281934	+	1.43625i
$176$	−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	$0.971771\pi$
$180$	−7.19879	−	10.4951i	−0.536566	−	0.782256i
$181$	−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
$185$	−6.95879	+	11.6865i	−0.511620	+	0.859212i
$186$	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
$190$	−7.60942	+	5.21947i	−0.552045	+	0.378660i
$191$		−	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	−0.943735	−	0.330703i	$-0.892714\pi$
$193$	−2.57663	+	4.46286i	−0.185470	+	0.321244i	0.758265	+	0.651947i	$0.226047\pi$
$194$	11.6158	+	9.74685i	0.833969	+	0.699783i
$195$	10.3390	−	14.4665i	0.740394	−	1.03597i
$196$	3.99806	−	6.92485i	0.285576	−	0.494632i
$197$	−6.17205	−	16.9576i	−0.439740	−	1.20818i	−0.939661	−	0.342106i	$-0.888860\pi$
$197$	−6.17205	−	16.9576i	−0.439740	−	1.20818i	0.499921	−	0.866071i	$-0.333362\pi$
$198$	−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	$0.474026\pi$
$200$	3.13942	+	3.89154i	0.221990	+	0.275173i
$201$	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
$205$	23.9081	+	6.65409i	1.66981	+	0.464741i
$206$	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
$210$	−18.2247	+	17.8762i	−1.25762	+	1.23358i
$211$	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
$215$	−11.7926	−	17.1924i	−0.804251	−	1.17251i
$216$		−	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
$220$	1.27333	−	1.24899i	0.0858480	−	0.0842068i
$221$	0.441116			0.0296727
$222$	−16.2815	+	7.51661i	−1.09274	+	0.504482i
$223$			15.5050i			1.03829i	0.854685	+	0.519147i	$0.173750\pi$
$223$			15.5050i			1.03829i	−0.854685	+	0.519147i	$0.826250\pi$
$224$	−1.32447	−	3.63894i	−0.0884947	−	0.243137i
$225$	24.9152	−	13.7506i	1.66101	−	0.916705i
$226$	−14.2766	+	11.9795i	−0.949664	+	0.796863i
$227$	0.436526	+	2.47566i	0.0289732	+	0.164315i	0.995861	−	0.0908852i	$-0.0289696\pi$
$227$	0.436526	+	2.47566i	0.0289732	+	0.164315i	−0.966888	+	0.255200i	$0.917859\pi$
$228$	−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	$0.792029\pi$
$230$	1.30623	−	13.4356i	0.0861305	−	0.885919i
$231$	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	0.754921	−	0.655816i	$-0.227675\pi$
$233$	8.61561	+	4.97423i	0.564428	+	0.325872i	−0.190493	+	0.981689i	$0.561009\pi$
$234$	14.4260	−	5.25065i	0.943060	−	0.343246i
$235$	15.1891	+	7.26208i	0.990830	+	0.473726i
$236$	−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	$0.407443\pi$
$240$	0.511149	+	6.57240i	0.0329946	+	0.424247i
$241$	−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
$245$	14.5467	+	10.3964i	0.929354	+	0.664198i
$246$	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
$250$	−9.34020	+	6.14498i	−0.590726	+	0.388642i
$251$	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
$255$	0.972642	+	0.465030i	0.0609092	+	0.0291213i
$256$	−0.939693	−	0.342020i	−0.0587308	−	0.0213763i
$257$	−19.5474	+	7.11468i	−1.21934	+	0.443802i	−0.869932	−	0.493171i	$-0.835838\pi$
$257$	−19.5474	+	7.11468i	−1.21934	+	0.443802i	−0.349403	+	0.936973i	$0.613615\pi$
$258$		−	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	0.528439	−	0.848971i	$-0.322777\pi$
$263$	−6.47713	−	7.71914i	−0.399397	−	0.475982i	−0.927836	+	0.372989i	$0.878333\pi$
$264$	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	$0.989740\pi$
$270$	17.6601	+	1.71695i	1.07476	+	0.104490i
$271$	−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
$275$	2.50420	+	3.10414i	0.151009	+	0.187187i
$276$	11.4402	−	13.6338i	0.688616	−	0.820661i
$277$	−23.2905	−	8.47705i	−1.39939	−	0.509336i	−0.471393	−	0.881923i	$-0.656249\pi$
$277$	−23.2905	−	8.47705i	−1.39939	−	0.509336i	−0.927997	+	0.372587i	$0.878471\pi$
$278$	−6.19300	−	2.25407i	−0.371431	−	0.135190i
$279$	−31.4316	+	37.4587i	−1.88176	+	2.24259i
$280$	8.38532	−	2.16033i	0.501119	−	0.129104i
$281$	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	0.0599861	−	0.998199i	$-0.480894\pi$
$283$	17.7216	−	14.8701i	1.05344	−	0.883939i	0.993451	+	0.114261i	$0.0364499\pi$
$284$	5.42285	−	1.97375i	0.321787	−	0.117121i
$285$	2.63240	−	27.0762i	0.155930	−	1.60386i
$286$	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	$0.279212\pi$
$293$	−5.90009	+	16.2104i	−0.344687	+	0.947019i	−0.984015	+	0.178085i	$0.943010\pi$
$294$	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
$300$	−14.7380	−	0.284497i	−0.850897	−	0.0164254i
$301$	−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
$305$	5.53793	−	19.8977i	0.317101	−	1.13934i
$306$	0.465397	+	0.806091i	0.0266050	+	0.0460812i
$307$	−6.39993	−	3.69500i	−0.365263	−	0.210885i	0.306124	−	0.951992i	$-0.400968\pi$
$307$	−6.39993	−	3.69500i	−0.365263	−	0.210885i	−0.671387	+	0.741107i	$0.734301\pi$
$308$	−1.05648	−	2.90266i	−0.0601986	−	0.165394i
$309$	22.0913	+	26.3273i	1.25673	+	1.49771i
$310$	11.1704	−	15.6298i	0.634436	−	0.887710i
$311$	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	−0.0756235	−	0.997136i	$-0.524095\pi$
$313$	−18.9434	−	15.8954i	−1.07074	−	0.898460i	−0.995120	+	0.0986763i	$0.968539\pi$
$314$	1.10264	−	3.02947i	0.0622254	−	0.170963i
$315$	−3.82137	−	49.1356i	−0.215310	−	2.76848i
$316$	5.87687	−	7.00378i	0.330600	−	0.393993i
$317$	28.0761	+	4.95057i	1.57691	+	0.278052i	0.892500	−	0.451047i	$-0.148949\pi$
$317$	28.0761	+	4.95057i	1.57691	+	0.278052i	0.684409	+	0.729098i	$0.260060\pi$
$318$	−3.62967	+	20.5849i	−0.203542	+	1.15434i
$319$	0.237563	−	0.137157i	0.0133010	−	0.00767934i
$320$	0.964516	−	2.01735i	0.0539181	−	0.112773i
$321$	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
$325$	−4.36722	−	12.7599i	−0.242250	−	0.707790i
$326$	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
$330$	0.407726	+	5.24257i	0.0224446	+	0.288594i
$331$	−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
$335$	−12.8178	−	13.0676i	−0.700310	−	0.713959i
$336$	10.7281	+	3.90472i	0.585268	+	0.213020i
$337$	8.45393	+	10.0750i	0.460515	+	0.548820i	0.945466	−	0.325721i	$-0.105607\pi$
$337$	8.45393	+	10.0750i	0.460515	+	0.548820i	−0.484951	+	0.874541i	$0.661163\pi$
$338$	0.994054	+	5.63756i	0.0540694	+	0.306643i
$339$		−	54.9438i		−	2.98414i
$340$	−0.206848	−	0.301562i	−0.0112179	−	0.0163545i
$341$	−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
$345$	27.8678	+	28.4109i	1.50035	+	1.52959i
$346$	−8.01044	−	9.54648i	−0.430644	−	0.513222i
$347$	−3.36885	−	5.83501i	−0.180849	−	0.313240i	0.761321	−	0.648375i	$-0.224551\pi$
$347$	−3.36885	−	5.83501i	−0.180849	−	0.313240i	−0.942170	+	0.335135i	$0.891218\pi$
$348$	−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	$0.0931013\pi$
$350$	2.99360	+	19.1296i	0.160015	+	1.02252i
$351$	−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	0.579830	−	0.814737i	$-0.303119\pi$
$353$	−2.28922	−	1.92089i	−0.121843	−	0.102238i	−0.701673	+	0.712499i	$0.747563\pi$
$354$	2.50899	−	14.2292i	0.133351	−	0.756274i
$355$	3.21937	+	12.4960i	0.170867	+	0.663220i
$356$	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	$0.895092\pi$
$360$	−10.3542	−	7.40000i	−0.545713	−	0.390014i
$361$	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
$365$	−14.3337	+	9.83181i	−0.750261	+	0.514620i
$366$	20.8604	−	17.5039i	1.09039	−	0.914945i
$367$	−4.86863	+	13.3765i	−0.254141	+	0.698245i	0.745361	+	0.666662i	$0.232277\pi$
$367$	−4.86863	+	13.3765i	−0.254141	+	0.698245i	−0.999501	+	0.0315839i	$0.989945\pi$
$368$	−5.67285	+	2.06475i	−0.295718	+	0.107633i
$369$	−63.1671			−3.28835
$370$	−2.54209	+	13.3618i	−0.132157	+	0.694647i
$371$	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	$-0.732671\pi$
$373$	6.22645	−	17.1070i	0.322393	−	0.885768i	0.989976	−	0.141233i	$-0.0451067\pi$
$374$	−0.0999303	+	0.0838514i	−0.00516727	+	0.00433586i
$375$	3.82208	−	32.7389i	0.197372	−	1.69063i
$376$		−	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	$0.456766\pi$
$380$	−5.36536	+	7.50727i	−0.275237	+	0.385115i
$381$	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	−0.963430	−	0.267959i	$-0.913651\pi$
$383$	−16.9644	+	14.2348i	−0.866840	+	0.727365i	0.0965902	+	0.995324i	$0.469206\pi$
$384$	2.55317	−	1.47407i	0.130291	−	0.0752234i
$385$	6.68868	−	1.72322i	0.340886	−	0.0878233i
$386$	−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	$0.105065\pi$
$390$	4.76768	−	17.1302i	0.241421	−	0.867423i
$391$	−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
$395$	14.3158	+	14.5948i	0.720307	+	0.734346i
$396$	−2.26998	+	3.93171i	−0.114071	+	0.197576i
$397$	−0.366906	+	0.211833i	−0.0184145	+	0.0106316i	−0.509179	−	0.860661i	$-0.670051\pi$
$397$	−0.366906	+	0.211833i	−0.0184145	+	0.0106316i	0.490764	+	0.871292i	$0.336718\pi$
$398$	−7.75731	+	9.24480i	−0.388839	+	0.463400i
$399$	−40.8006	−	23.5562i	−2.04258	−	1.17929i
$400$	4.28107	+	2.58311i	0.214054	+	0.129155i
$401$		−	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
$405$	−10.0874	+	9.89452i	−0.501245	+	0.491663i
$406$	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	$0.850419\pi$
$410$	24.7421	−	1.92424i	1.22192	−	0.0950315i
$411$	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
$415$	17.8095	+	1.73147i	0.874232	+	0.0849943i
$416$	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	$0.409433\pi$
$420$	−11.0115	+	23.0314i	−0.537308	+	1.12382i
$421$	−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
$425$	0.715906	−	0.395105i	0.0347265	−	0.0191654i
$426$	−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
$430$	−16.9616	−	12.1222i	−0.817961	−	0.584587i
$431$	−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	0.882985	−	0.469401i	$-0.155530\pi$
$433$	19.1016	+	11.0283i	0.917965	+	0.529987i	0.0349799	+	0.999388i	$0.488863\pi$
$434$	−16.6352	−	28.8130i	−0.798514	−	1.38307i
$435$	−2.18404	−	0.607863i	−0.104717	−	0.0291448i
$436$	−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	$0.343601\pi$
$440$	0.769361	−	1.60917i	0.0366778	−	0.0767142i
$441$	−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	$-0.754617\pi$
$443$		−	29.3309i		−	1.39355i	0.717288	−	0.696777i	$-0.245383\pi$
$444$	−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
$455$	−23.2467	−	2.26009i	−1.08982	−	0.105955i
$456$	−11.4323	+	4.16100i	−0.535364	+	0.194857i
$457$	2.66133	−	2.23312i	0.124492	−	0.104461i	−0.578416	−	0.815742i	$-0.696329\pi$
$457$	2.66133	−	2.23312i	0.124492	−	0.104461i	0.702908	+	0.711281i	$0.251885\pi$
$458$	6.97224	+	12.0763i	0.325792	+	0.564288i
$459$	−1.27799	−	0.225343i	−0.0596513	−	0.0105181i
$460$	−3.36780	−	13.0721i	−0.157024	−	0.609491i
$461$	−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	0.687761	−	0.725937i	$-0.258594\pi$
$463$	16.0949	+	5.85806i	0.747993	+	0.272247i	0.0602320	+	0.998184i	$0.480816\pi$
$464$	0.221053	−	0.263441i	0.0102621	−	0.0122299i
$465$	14.1301	+	54.8462i	0.655269	+	2.54343i
$466$	9.79731	+	1.72753i	0.453852	+	0.0800263i
$467$	−16.0914	−	27.8712i	−0.744622	−	1.28972i	−0.950371	−	0.311119i	$-0.899296\pi$
$467$	−16.0914	−	27.8712i	−0.744622	−	1.28972i	0.205749	−	0.978605i	$-0.434037\pi$
$468$	11.7602	−	9.86799i	0.543616	−	0.456148i
$469$	−29.7886	+	10.8422i	−1.37551	+	0.500644i
$470$	16.7569	+	1.62913i	0.772938	+	0.0751463i
$471$	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
$485$	−14.6253	+	30.5899i	−0.664103	+	1.38902i
$486$	5.09696	−	0.898731i	0.231203	−	0.0407673i
$487$	26.3538			1.19420			0.597102	−	0.802165i	$-0.296319\pi$
$487$	26.3538			1.19420			0.597102	+	0.802165i	$0.296319\pi$
$488$	−9.09643	+	1.60395i	−0.411776	+	0.0726072i
$489$	−21.6789	−	12.5163i	−0.980355	−	0.566008i
$490$	17.2252	+	4.79411i	0.778155	+	0.216576i
$491$	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
$495$	−8.25916	−	5.90272i	−0.371221	−	0.265308i
$496$	−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	$0.0276571\pi$
$500$	−6.67521	+	8.96892i	−0.298524	+	0.401102i
$501$	−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	$0.142435\pi$
$503$	−2.09964	+	11.9077i	−0.0936184	+	0.530936i	−0.995162	+	0.0982481i	$0.968676\pi$
$504$	−19.0876	+	11.0202i	−0.850229	+	0.490880i
$505$	−12.8999	+	26.9810i	−0.574038	+	1.20064i
$506$	−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	$0.605239\pi$
$510$	1.07303	+	0.104322i	0.0475148	+	0.00461946i
$511$	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
$515$	25.9884	−	2.02117i	1.14519	−	0.0890636i
$516$	−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
$520$	−4.30578	+	4.22346i	−0.188821	+	0.185211i
$521$	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	$0.0580127\pi$
$523$	2.77399	+	15.7321i	0.121298	+	0.687915i	−0.862140	+	0.506670i	$0.830876\pi$
$524$		−	4.14320i		−	0.180997i
$525$	−48.8754	−	29.4904i	−2.13310	−	1.28707i
$526$	−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
$530$	11.1016	+	11.3180i	0.482223	+	0.491622i
$531$	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
$535$	8.30361	−	29.8348i	0.358996	−	1.28987i
$536$	−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
$540$	17.1823	−	4.42672i	0.739409	−	0.190496i
$541$	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
$545$	8.31941	−	11.6406i	0.356364	−	0.498629i
$546$	−23.5897	−	19.7941i	−1.00955	−	0.847110i
$547$	−14.5924	+	25.2747i	−0.623924	+	1.08067i	0.364824	+	0.931077i	$0.381129\pi$
$547$	−14.5924	+	25.2747i	−0.623924	+	1.08067i	−0.988748	+	0.149592i	$0.952204\pi$
$548$	−20.7991	+	3.66745i	−0.888495	+	0.156666i
$549$			52.5715i			2.24370i
$550$	3.41486	+	2.06045i	0.145610	+	0.0878580i
$551$	−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
$555$	−25.3591	−	31.0621i	−1.07643	−	1.31851i
$556$	−6.59045			−0.279497
$557$	−24.5192	+	8.92426i	−1.03891	+	0.378133i	−0.804468	−	0.593997i	$-0.797549\pi$
$557$	−24.5192	+	8.92426i	−1.03891	+	0.378133i	−0.234444	+	0.972130i	$0.575327\pi$
$558$	−16.7244	+	45.9499i	−0.708000	+	1.94521i
$559$	19.2649	−	16.1652i	0.814818	−	0.683713i
$560$	7.14075	−	4.89799i	0.301752	−	0.206978i
$561$		−	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	$-0.553291\pi$
$563$	18.2845	−	31.6696i	0.770599	−	1.33472i	0.937235	−	0.348698i	$-0.113376\pi$
$564$	17.0041	+	14.2681i	0.716002	+	0.600797i
$565$	−33.9043	−	24.2310i	−1.42636	−	1.01941i
$566$	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	$0.229771\pi$
$570$	−6.78697	−	26.3437i	−0.284275	−	1.10341i
$571$	−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
$575$	29.8217	−	4.66681i	1.24365	−	0.194620i
$576$	−0.988328	+	5.60509i	−0.0411803	+	0.233545i
$577$	−3.26162	+	18.4976i	−0.135783	+	0.770063i	0.838528	+	0.544858i	$0.183416\pi$
$577$	−3.26162	+	18.4976i	−0.135783	+	0.770063i	−0.974311	+	0.225205i	$0.927695\pi$
$578$	−8.48663	−	14.6993i	−0.352997	−	0.611409i
$579$	−9.76560	−	11.6382i	−0.405844	−	0.483666i
$580$	0.538476	+	0.548971i	0.0223590	+	0.0227948i
$581$	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
$585$	19.4173	+	28.3084i	0.802808	+	1.17041i
$586$			17.2507i			0.712620i
$587$	6.48792	+	36.7948i	0.267785	+	1.51869i	0.760985	+	0.648769i	$0.224716\pi$
$587$	6.48792	+	36.7948i	0.267785	+	1.51869i	−0.493200	+	0.869916i	$0.664173\pi$
$588$	15.1529	+	18.0585i	0.624895	+	0.744721i
$589$	33.3158	+	12.1260i	1.37276	+	0.499642i
$590$	−7.67394	−	7.82351i	−0.315931	−	0.322089i
$591$	53.2018			2.18843
$592$	5.88147	−	1.55188i	0.241727	−	0.0637818i
$593$			4.19652i			0.172330i	0.996281	+	0.0861652i	$0.0274613\pi$
$593$			4.19652i			0.172330i	−0.996281	+	0.0861652i	$0.972539\pi$
$594$	−2.16483	−	5.94782i	−0.0888240	−	0.244042i
$595$	−0.109802	−	1.41185i	−0.00450146	−	0.0578801i
$596$	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	$-0.157166\pi$
$600$	−13.9465	+	4.77334i	−0.569362	+	0.194871i
$601$	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
$605$	−9.99599	+	20.9073i	−0.406395	+	0.850002i
$606$	−34.1473	+	19.7149i	−1.38714	+	0.800865i
$607$	3.06873	−	17.4036i	0.124556	−	0.706392i	−0.857015	−	0.515292i	$-0.827683\pi$
$607$	3.06873	−	17.4036i	0.124556	−	0.706392i	0.981571	−	0.191100i	$-0.0612054\pi$
$608$	4.06395	+	0.716585i	0.164815	+	0.0290614i
$609$	−2.52368	+	3.00761i	−0.102265	+	0.121874i
$610$	−1.60147	−	20.5918i	−0.0648416	−	0.833739i
$611$	−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	−0.175656	−	0.984452i	$-0.556205\pi$
$613$	−16.7722	−	2.95738i	−0.677421	−	0.119448i	−0.501765	+	0.865004i	$0.667316\pi$
$614$	−7.27773	−	1.28326i	−0.293705	−	0.0517882i
$615$	−42.5412	+	59.5242i	−1.71543	+	2.40025i
$616$	−1.98553	−	2.36627i	−0.0799995	−	0.0953396i
$617$	1.15260	+	3.16674i	0.0464019	+	0.127488i	0.960729	−	0.277488i	$-0.0895019\pi$
$617$	1.15260	+	3.16674i	0.0464019	+	0.127488i	−0.914327	+	0.404976i	$0.867280\pi$
$618$	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	$0.806488\pi$
$620$	5.15105	−	18.5077i	0.206871	−	0.743286i
$621$	−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
$625$	−18.5167	−	16.7968i	−0.740667	−	0.671873i
$626$	−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
$640$	0.216374	−	2.22557i	0.00855294	−	0.0879736i
$641$	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	0.812897	−	0.582407i	$-0.197889\pi$
$643$	−2.48328	−	4.30116i	−0.0979310	−	0.169621i	−0.910828	+	0.412786i	$0.864556\pi$
$644$	−23.0227	−	4.05953i	−0.907223	−	0.159968i
$645$	59.5197	−	15.3342i	2.34359	−	0.603783i
$646$	0.433798	−	0.516980i	0.0170676	−	0.0203403i
$647$	7.86241	+	2.86168i	0.309103	+	0.112504i	0.491914	−	0.870644i	$-0.336297\pi$
$647$	7.86241	+	2.86168i	0.309103	+	0.112504i	−0.182811	+	0.983148i	$0.558520\pi$
$648$	5.93803	+	2.16127i	0.233268	+	0.0849026i
$649$	−2.51286	+	2.99471i	−0.0986384	+	0.117553i
$650$	−8.46797	−	10.4967i	−0.332141	−	0.411713i
$651$	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	−0.572523	−	0.819889i	$-0.694035\pi$
$653$	3.46235	−	2.90525i	0.135492	−	0.113691i	0.708015	+	0.706197i	$0.249591\pi$
$654$	17.7266	−	6.45196i	0.693166	−	0.252292i
$655$	9.22101	+	0.896482i	0.360295	+	0.0350284i
$656$	−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
$670$	−16.5141	−	7.89558i	−0.637997	−	0.305033i
$671$	−7.25590	+	1.27941i	−0.280111	+	0.0493911i
$672$	11.4166			0.440406
$673$	32.3329	−	5.70117i	1.24634	−	0.219764i	0.488711	−	0.872446i	$-0.337467\pi$
$673$	32.3329	−	5.70117i	1.24634	−	0.219764i	0.757632	+	0.652682i	$0.226356\pi$
$674$	11.3899	+	6.57599i	0.438724	+	0.253298i
$675$	6.13418	+	39.1984i	0.236105	+	1.50875i
$676$	2.86227	+	4.95759i	0.110087	+	0.190677i
$677$	24.1428	+	13.9389i	0.927884	+	0.535714i	0.886142	−	0.463414i	$-0.153376\pi$
$677$	24.1428	+	13.9389i	0.927884	+	0.535714i	0.0417425	+	0.999128i	$0.486709\pi$
$678$	−18.7919	−	51.6303i	−0.721698	−	1.98285i
$679$	37.7445	+	44.9821i	1.44850	+	1.72626i
$680$	−0.297514	−	0.212630i	−0.0114091	−	0.00815397i
$681$	−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	0.593918	−	0.804526i	$-0.297580\pi$
$683$	−2.48936	−	2.08882i	−0.0952526	−	0.0799264i	−0.689170	+	0.724599i	$0.742025\pi$
$684$	8.03304	−	22.0706i	0.307151	−	0.843890i
$685$	−3.66179	−	47.0836i	−0.139910	−	1.79897i
$686$	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
$690$	35.9043	+	17.1662i	1.36685	+	0.653506i
$691$	−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
$695$	1.42600	−	14.6675i	0.0540914	−	0.556371i
$696$	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
$700$	9.35578	+	16.9521i	0.353615	+	0.640728i
$701$	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
$705$	−35.4341	+	34.7567i	−1.33452	+	1.30901i
$706$	−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	$-0.171002\pi$
$710$	7.29911	+	10.6413i	0.273931	+	0.399362i
$711$	−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
$715$	−3.43457	+	3.36891i	−0.128445	+	0.125990i
$716$	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	$0.992586\pi$
$720$	−12.2607	−	3.41239i	−0.456929	−	0.127172i
$721$	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
$725$	−1.33829	+	1.07964i	−0.0497028	+	0.0400967i
$726$	−26.4603	+	15.2769i	−0.982035	+	0.566978i
$727$	−15.5437	+	13.0427i	−0.576484	+	0.483728i	−0.883790	−	0.467883i	$-0.845017\pi$
$727$	−15.5437	+	13.0427i	−0.576484	+	0.483728i	0.307306	+	0.951611i	$0.400572\pi$
$728$	3.57250	+	9.81535i	0.132406	+	0.363781i
$729$	−17.1079	+	29.6317i	−0.633625	+	1.09747i
$730$	−10.1066	+	14.1413i	−0.374063	+	0.523393i
$731$	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	0.201912	−	0.979404i	$-0.435285\pi$
$733$	19.6726	−	3.46880i	0.726622	−	0.128123i	0.524711	+	0.851281i	$0.324173\pi$
$734$			14.2349i			0.525421i
$735$	−43.4693	+	29.8165i	−1.60339	+	1.09980i
$736$	−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	$0.0403923\pi$
$740$	2.18122	+	13.4254i	0.0801833	+	0.493529i
$741$	32.8153			1.20550
$742$	25.8002	−	9.39051i	0.947156	−	0.344737i
$743$	−4.61508	+	12.6798i	−0.169311	+	0.465178i	−0.995108	−	0.0987887i	$-0.968503\pi$
$743$	−4.61508	+	12.6798i	−0.169311	+	0.465178i	0.825797	+	0.563967i	$0.190725\pi$
$744$	19.4031	−	16.2811i	0.711351	−	0.596894i
$745$	7.88012	+	11.4884i	0.288705	+	0.420902i
$746$		−	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
$750$	−7.60578	−	32.0717i	−0.277724	−	1.17109i
$751$	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
$755$	−0.443985	−	1.72333i	−0.0161583	−	0.0627184i
$756$	5.33595	−	30.2617i	0.194067	−	1.10061i
$757$	−35.5047	−	29.7919i	−1.29044	−	1.08281i	−0.991714	−	0.128467i	$-0.958994\pi$
$757$	−35.5047	−	29.7919i	−1.29044	−	1.08281i	−0.298725	−	0.954339i	$-0.596561\pi$
$758$	27.0967	+	9.86240i	0.984197	+	0.358219i
$759$	4.85553	−	13.3405i	0.176244	−	0.484228i
$760$	−2.47415	+	8.88958i	−0.0897468	+	0.322459i
$761$	−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
$765$	−1.48585	+	1.45744i	−0.0537210	+	0.0526940i
$766$	−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	$0.594781\pi$
$770$	5.69592	−	3.90696i	0.205267	−	0.140797i
$771$		−	61.3271i		−	2.20864i
$772$	0.894855	+	5.07498i	0.0322065	+	0.182652i
$773$	−17.7155	−	21.1125i	−0.637181	−	0.759362i	0.346741	−	0.937961i	$-0.387288\pi$
$773$	−17.7155	−	21.1125i	−0.637181	−	0.759362i	−0.983922	+	0.178599i	$0.942844\pi$
$774$	49.8653	+	18.1495i	1.79237	+	0.652370i
$775$	40.0756	+	15.4686i	1.43956	+	0.555649i
$776$	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
$780$	−1.37873	−	17.7278i	−0.0493664	−	0.634757i
$781$	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
$785$	7.17502	+	0.697567i	0.256087	+	0.0248972i
$786$	9.35705	+	7.85150i	0.333755	+	0.280054i
$787$	16.4519	−	9.49851i	0.586447	−	0.338585i	−0.177244	−	0.984167i	$-0.556718\pi$
$787$	16.4519	−	9.49851i	0.586447	−	0.338585i	0.763691	+	0.645582i	$0.223385\pi$
$788$	−15.6282	−	9.02293i	−0.556731	−	0.321429i
$789$	27.9158	−	10.1605i	0.993827	−	0.361723i
$790$	18.4442	+	8.81836i	0.656215	+	0.313743i
$791$	−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
$795$	−46.5985	+	3.62406i	−1.65268	+	0.128532i
$796$	−4.12758	+	11.3404i	−0.146298	+	0.401951i
$797$	29.3109	+	24.5947i	1.03824	+	0.871190i	0.991809	−	0.127731i	$-0.0407694\pi$
$797$	29.3109	+	24.5947i	1.03824	+	0.871190i	0.0464355	+	0.998921i	$0.485214\pi$
$798$	−46.3967	−	8.18099i	−1.64243	−	0.289604i
$799$	−1.21262	−	0.213818i	−0.0428995	−	0.00756434i
$800$	4.90636	+	0.963113i	0.173466	+	0.0340512i
$801$	−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
$805$	14.0163	−	50.3604i	0.494010	−	1.77497i
$806$	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	$0.363650\pi$
$810$	−6.09490	+	12.7479i	−0.214153	+	0.447915i
$811$	−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	−0.898449	−	0.439078i	$-0.855305\pi$
$823$	−8.89406	+	10.5995i	−0.310028	+	0.369477i	0.588421	+	0.808554i	$0.299750\pi$
$824$	−5.82874	−	10.0957i	−0.203054	−	0.351699i
$825$	−11.1246	+	3.80753i	−0.387309	+	0.132561i
$826$	−17.8343	+	6.49115i	−0.620534	+	0.225856i
$827$	−36.7036	+	30.7980i	−1.27631	+	1.07095i	−0.282568	+	0.959247i	$0.591186\pi$
$827$	−36.7036	+	30.7980i	−1.27631	+	1.07095i	−0.993742	+	0.111704i	$0.964369\pi$
$828$	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	$0.448145\pi$
$830$	17.3276	−	4.46415i	0.601450	−	0.154953i
$831$	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
$835$	11.2663	+	43.7302i	0.389887	+	1.51335i
$836$	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	$0.206538\pi$
$840$	−2.47027	+	25.4086i	−0.0852322	+	0.876679i
$841$	−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	−0.0981933	−	0.995167i	$-0.531306\pi$
$853$	13.6179	−	4.95650i	0.466267	−	0.169707i	0.564461	+	0.825460i	$0.309084\pi$
$854$	−33.6120	−	12.2338i	−1.15018	−	0.418631i
$855$	47.3816	+	22.6536i	1.62042	+	0.774738i
$856$	−13.6392	+	2.40497i	−0.466180	+	0.0822001i
$857$	−5.95010			−0.203252			−0.101626	−	0.994823i	$-0.532404\pi$
$857$	−5.95010			−0.203252			−0.101626	+	0.994823i	$0.532404\pi$
$858$	−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	$0.859181\pi$
$860$	−20.0847	−	5.58998i	−0.684884	−	0.190617i
$861$	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	$-0.949393\pi$
$863$	−9.77575	−	26.8587i	−0.332770	−	0.914279i	0.654618	−	0.755960i	$-0.272830\pi$
$864$	−5.10058	−	6.07863i	−0.173525	−	0.206799i
$865$	16.2028	−	22.6712i	0.550912	−	0.770842i
$866$	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
$870$	−2.26023	+	0.175783i	−0.0766290	+	0.00595960i
$871$	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
$875$	−39.7524	+	17.1540i	−1.34388	+	0.579911i
$876$	−21.5347	+	7.83800i	−0.727591	+	0.264821i
$877$	35.4666	+	20.4767i	1.19762	+	0.691448i	0.960025	−	0.279916i	$-0.0903065\pi$
$877$	35.4666	+	20.4767i	1.19762	+	0.691448i	0.237598	+	0.971363i	$0.423640\pi$
$878$	11.3058	−	6.52738i	0.381551	−	0.220288i
$879$	−38.9591	−	32.6906i	−1.31406	−	1.10263i
$880$	0.172594	−	1.77526i	0.00581814	−	0.0598441i
$881$	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	$-0.946251\pi$
$883$	−3.47457	−	19.7053i	−0.116929	−	0.663136i	0.868848	−	0.495078i	$-0.164861\pi$
$884$	0.337915	−	0.283544i	0.0113653	−	0.00953662i
$885$	32.2110	−	2.50512i	1.08276	−	0.0842086i
$886$	−10.0318	−	27.5620i	−0.337024	−	0.925965i
$887$			38.6910i			1.29912i	0.760312	+	0.649558i	$0.225046\pi$
$887$			38.6910i			1.29912i	−0.760312	+	0.649558i	$0.774954\pi$
$888$	−7.64079	+	16.2236i	−0.256408	+	0.544429i
$889$	−55.5729			−1.86385
$890$	10.4517	+	10.6554i	0.350342	+	0.357170i
$891$	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
$895$	−4.36999	+	2.99747i	−0.146073	+	0.100194i
$896$	−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
$900$	10.2474	−	26.5487i	0.341581	−	0.884957i
$901$	−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
$905$	−20.9165	−	5.82148i	−0.695288	−	0.193513i
$906$	0.802488	−	2.20482i	0.0266609	−	0.0732502i
$907$	31.8558	+	11.5946i	1.05775	+	0.384991i	0.811584	−	0.584236i	$-0.198606\pi$
$907$	31.8558	+	11.5946i	1.05775	+	0.384991i	0.246170	+	0.969227i	$0.420828\pi$
$908$	1.92572	+	1.61587i	0.0639073	+	0.0536246i
$909$	13.2184	−	74.9651i	0.438426	−	2.48644i
$910$	−22.6178	+	5.82707i	−0.749773	+	0.193165i
$911$	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
$915$	49.5396	+	35.4054i	1.63773	+	1.17047i
$916$	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	$-0.251264\pi$
$920$	−7.63562	−	11.1319i	−0.251739	−	0.367008i
$921$	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
$925$	−30.3513	+	1.94955i	−0.997943	+	0.0641009i
$926$	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	$0.264012\pi$
$930$	32.0365	+	46.7058i	1.05052	+	1.53154i
$931$			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
$935$	−0.237316	−	0.169607i	−0.00776107	−	0.00554675i
$936$	7.67594	−	13.2951i	0.250896	−	0.434564i
$937$	−1.12300	−	3.08542i	−0.0366869	−	0.100796i	0.919997	−	0.391926i	$-0.128191\pi$
$937$	−1.12300	−	3.08542i	−0.0366869	−	0.100796i	−0.956684	+	0.291130i	$0.905969\pi$
$938$	−24.2839	+	20.3766i	−0.792897	+	0.665319i
$939$	63.1368	−	36.4521i	2.06039	−	1.18957i
$940$	16.3035	−	4.20031i	0.531762	−	0.136999i
$941$	−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
$945$	66.1950	+	18.4234i	2.15332	+	0.599313i
$946$	−1.29144	+	7.32409i	−0.0419882	+	0.238127i
$947$	5.84127	−	33.1275i	0.189816	−	1.07650i	−0.729794	−	0.683667i	$-0.760384\pi$
$947$	5.84127	−	33.1275i	0.189816	−	1.07650i	0.919610	−	0.392832i	$-0.128505\pi$
$948$	13.4771	+	23.3431i	0.437716	+	0.758147i
$949$	−13.4773	−	16.0616i	−0.437491	−	0.521382i
$950$	−19.2491	−	7.42988i	−0.624523	−	0.241057i
$951$	−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	−0.759466	−	0.650547i	$-0.774540\pi$
$953$	0.403689	−	0.481098i	0.0130768	−	0.0155843i	0.772543	+	0.634962i	$0.218984\pi$
$954$	−34.9470	−	20.1766i	−1.13145	−	0.653243i
$955$	21.8512	−	14.9882i	0.707089	−	0.485007i
$956$			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
$960$	4.61622	+	4.70619i	0.148988	+	0.151892i
$961$	−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
$965$	−11.4884	+	0.893474i	−0.369823	+	0.0287619i
$966$	52.7968	−	44.3018i	1.69871	−	1.42539i
$967$	−1.91892	−	10.8827i	−0.0617083	−	0.349965i	−0.999992	−	0.00409744i	$-0.998696\pi$
$967$	−1.91892	−	10.8827i	−0.0617083	−	0.349965i	0.938283	−	0.345868i	$-0.112415\pi$
$968$	10.3637			0.333103
$969$	0.345493	+	1.95939i	0.0110988	+	0.0629446i
$970$	−3.28097	+	33.7473i	−0.105345	+	1.08356i
$971$	−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
$975$	39.7529	+	0.767375i	1.27311	+	0.0245757i
$976$	−7.99927	+	4.61838i	−0.256050	+	0.147831i
$977$	7.42269	−	42.0962i	0.237473	−	1.34678i	−0.599870	−	0.800097i	$-0.704781\pi$
$977$	7.42269	−	42.0962i	0.237473	−	1.34678i	0.837343	−	0.546678i	$-0.184108\pi$
$978$	−24.6524	−	4.34688i	−0.788295	−	0.138998i
$979$	3.42245	−	4.07872i	0.109382	−	0.130356i
$980$	17.8261	−	1.38637i	0.569433	−	0.0442860i
$981$	−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	−0.560149	−	0.828392i	$-0.689256\pi$
$983$	−42.9485	−	7.57298i	−1.36984	−	0.241541i	−0.809695	+	0.586851i	$0.800367\pi$
$984$	32.2226	+	5.68171i	1.02722	+	0.181126i
$985$	23.4627	−	32.8294i	0.747585	−	1.04603i
$986$	−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
$990$	−9.77992	−	2.72194i	−0.310826	−	0.0865091i
$991$	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
$995$	−24.3459	−	11.6400i	−0.771815	−	0.369013i
$996$	22.1688	+	8.06880i	0.702447	+	0.255670i
$997$	−45.5813	+	16.5902i	−1.44358	+	0.525418i	−0.940789	−	0.338992i	$-0.889914\pi$
$997$	−45.5813	+	16.5902i	−1.44358	+	0.525418i	−0.502786	+	0.864411i	$0.667692\pi$
$998$		−	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.b.289.2	yes	60
5.4	even	2		370.2.v.a.289.9	yes	60
37.21	even	18		370.2.v.a.169.9	✓	60
185.169	even	18	inner	370.2.v.b.169.2	yes	60

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

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)

\(f(q)\)	\(=\)	\(q+(0.939693 - 0.342020i) q^{2} +(-1.00832 + 2.77035i) q^{3} +(0.766044 - 0.642788i) q^{4} +(1.26482 + 1.84397i) q^{5} +2.94814i q^{6} +(3.81365 - 0.672450i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-4.35998 - 3.65846i) q^{9} +O(q^{10})\)	\(q+(0.939693 - 0.342020i) q^{2} +(-1.00832 + 2.77035i) q^{3} +(0.766044 - 0.642788i) q^{4} +(1.26482 + 1.84397i) q^{5} +2.94814i q^{6} +(3.81365 - 0.672450i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-4.35998 - 3.65846i) q^{9} +(1.81922 + 1.30017i) 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} +(-6.38379 + 1.64467i) 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} +(2.15419 + 0.599554i) 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} +(-1.80046 + 4.66458i) 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} +(-5.43629 + 3.72887i) q^{30} -8.59147i q^{31} +(-0.173648 - 0.984808i) q^{32} +(1.51160 + 1.80145i) q^{33} +(-0.153677 - 0.0559338i) q^{34} +(6.06356 + 6.18174i) q^{35} -5.69155 q^{36} +(2.54961 + 5.52264i) q^{37} +4.12665i q^{38} +(-2.71976 - 7.47248i) q^{39} +(2.22934 - 0.173380i) q^{40} +(8.50186 - 7.13391i) q^{41} +(1.98248 + 11.2432i) q^{42} -9.32357 q^{43} +(-0.138513 - 0.785546i) q^{44} +(1.23150 - 12.6670i) 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} +(-0.0965003 + 4.99907i) 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} +(1.77826 - 0.138299i) 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} +(-3.83310 + 5.36331i) 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} +(-5.81051 - 1.61718i) q^{65} +(2.03657 + 1.17582i) q^{66} +(-8.06169 + 1.42149i) q^{67} -0.163540 q^{68} +(17.5273 - 3.09054i) q^{69} +(7.81216 + 3.73507i) 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} +(0.0353857 - 0.363969i) 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} +(-3.17513 - 12.3243i) 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} +(-8.93568 + 2.30212i) 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})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 60 q + 6 q^{5} + 30 q^{8} - 6 q^{9}+O(q^{10}) \) 60 * q + 6 * q^5 + 30 * q^8 - 6 * q^9	\( 60 q + 6 q^{5} + 30 q^{8} - 6 q^{9} - 9 q^{10} + 6 q^{11} + 3 q^{13} + 9 q^{14} - 6 q^{15} - 3 q^{17} - 12 q^{18} + 3 q^{19} + 3 q^{20} + 12 q^{21} + 3 q^{22} + 18 q^{23} - 18 q^{25} - 27 q^{26} + 18 q^{30} + 66 q^{33} + 21 q^{34} + 9 q^{35} - 72 q^{36} - 6 q^{37} + 12 q^{39} + 12 q^{40} - 57 q^{41} - 12 q^{42} - 60 q^{43} - 3 q^{44} + 9 q^{45} - 21 q^{46} + 18 q^{47} - 6 q^{49} + 6 q^{50} + 3 q^{52} + 6 q^{53} + 3 q^{55} - 30 q^{57} - 15 q^{58} - 12 q^{59} - 9 q^{60} + 42 q^{61} + 12 q^{62} + 9 q^{63} - 30 q^{64} - 15 q^{65} + 18 q^{67} + 24 q^{68} + 36 q^{69} - 12 q^{70} + 18 q^{71} - 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} - 21 q^{77} - 6 q^{78} - 24 q^{79} - 36 q^{81} - 27 q^{82} - 30 q^{83} + 12 q^{84} - 30 q^{85} - 18 q^{86} + 30 q^{87} - 6 q^{88} + 3 q^{89} + 57 q^{91} - 15 q^{92} - 60 q^{93} + 3 q^{94} + 6 q^{95} - 84 q^{97} + 6 q^{98} - 45 q^{99}+O(q^{100}) \) 60 * q + 6 * q^5 + 30 * q^8 - 6 * q^9 - 9 * q^10 + 6 * q^11 + 3 * q^13 + 9 * q^14 - 6 * q^15 - 3 * q^17 - 12 * q^18 + 3 * q^19 + 3 * q^20 + 12 * q^21 + 3 * q^22 + 18 * q^23 - 18 * q^25 - 27 * q^26 + 18 * q^30 + 66 * q^33 + 21 * q^34 + 9 * q^35 - 72 * q^36 - 6 * q^37 + 12 * q^39 + 12 * q^40 - 57 * q^41 - 12 * q^42 - 60 * q^43 - 3 * q^44 + 9 * q^45 - 21 * q^46 + 18 * q^47 - 6 * q^49 + 6 * 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 - 15 * q^65 + 18 * q^67 + 24 * q^68 + 36 * q^69 - 12 * q^70 + 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 - 30 * q^85 - 18 * q^86 + 30 * q^87 - 6 * q^88 + 3 * q^89 + 57 * q^91 - 15 * q^92 - 60 * q^93 + 3 * q^94 + 6 * q^95 - 84 * q^97 + 6 * q^98 - 45 * q^99

Introduction

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