LMFDB - Embedded newform 370.2.v.b.169.9

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			169.9
Character	$\chi$	$=$	370.169
Dual form			370.2.v.b.289.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.939693 + 0.342020i) q^{2} +(0.981253 + 2.69597i) q^{3} +(0.766044 + 0.642788i) q^{4} +(1.64845 - 1.51083i) q^{5} +2.86899i q^{6} +(-2.07208 - 0.365363i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-4.00726 + 3.36249i) q^{9} +O(q^{10})$	\(q+(0.939693 + 0.342020i) q^{2} +(0.981253 + 2.69597i) q^{3} +(0.766044 + 0.642788i) q^{4} +(1.64845 - 1.51083i) q^{5} +2.86899i q^{6} +(-2.07208 - 0.365363i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-4.00726 + 3.36249i) q^{9} +(2.06577 - 0.855912i) q^{10} +(2.94218 + 5.09600i) q^{11} +(-0.981253 + 2.69597i) q^{12} +(-4.66178 - 3.91170i) q^{13} +(-1.82215 - 1.05202i) q^{14} +(5.69070 + 2.96167i) q^{15} +(0.173648 + 0.984808i) q^{16} +(5.11703 - 4.29370i) q^{17} +(-4.91563 + 1.78914i) q^{18} +(-0.963675 - 2.64768i) q^{19} +(2.23393 - 0.0977587i) q^{20} +(-1.04822 - 5.94477i) q^{21} +(1.02181 + 5.79496i) q^{22} +(-1.71373 + 2.96826i) q^{23} +(-1.84415 + 2.19777i) q^{24} +(0.434785 - 4.98106i) q^{25} +(-3.04276 - 5.27021i) q^{26} +(-5.54345 - 3.20051i) q^{27} +(-1.35245 - 1.61179i) q^{28} +(2.14109 - 1.23616i) q^{29} +(4.33456 + 4.72939i) q^{30} -2.15465i q^{31} +(-0.173648 + 0.984808i) q^{32} +(-10.8516 + 12.9325i) q^{33} +(6.27696 - 2.28463i) q^{34} +(-3.96772 + 2.52827i) q^{35} -5.23111 q^{36} +(-2.51354 + 5.53914i) q^{37} -2.81760i q^{38} +(5.97143 - 16.4064i) q^{39} +(2.13264 + 0.672186i) q^{40} +(-1.23890 - 1.03956i) q^{41} +(1.04822 - 5.94477i) q^{42} +1.64162 q^{43} +(-1.02181 + 5.79496i) q^{44} +(-1.52562 + 11.5972i) q^{45} +(-2.62558 + 2.20313i) q^{46} +(-8.65471 - 4.99680i) q^{47} +(-2.48462 + 1.43450i) q^{48} +(-2.41783 - 0.880019i) q^{49} +(2.11219 - 4.53196i) q^{50} +(16.5968 + 9.58215i) q^{51} +(-1.05674 - 5.99307i) q^{52} +(9.41304 - 1.65977i) q^{53} +(-4.11450 - 4.90347i) q^{54} +(12.5492 + 3.95538i) q^{55} +(-0.719625 - 1.97715i) q^{56} +(6.19244 - 5.19608i) q^{57} +(2.43476 - 0.429314i) q^{58} +(-6.20265 + 1.09369i) q^{59} +(2.45560 + 5.92668i) q^{60} +(5.62259 - 6.70074i) q^{61} +(0.736935 - 2.02471i) q^{62} +(9.53188 - 5.50324i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-13.5946 + 0.594912i) q^{65} +(-14.6204 + 8.44108i) q^{66} +(3.57966 + 0.631191i) q^{67} +6.67980 q^{68} +(-9.68395 - 1.70754i) q^{69} +(-4.59316 + 1.01876i) q^{70} +(7.82307 - 2.84737i) q^{71} +(-4.91563 - 1.78914i) q^{72} -0.888551i q^{73} +(-4.25646 + 4.34541i) q^{74} +(13.8554 - 3.71551i) q^{75} +(0.963675 - 2.64768i) q^{76} +(-4.23453 - 11.6343i) q^{77} +(11.2226 - 13.3746i) q^{78} +(3.75772 + 0.662587i) q^{79} +(1.77413 + 1.36106i) q^{80} +(0.463840 - 2.63057i) q^{81} +(-0.808632 - 1.40059i) q^{82} +(-0.0733685 - 0.0874372i) q^{83} +(3.01824 - 5.22774i) q^{84} +(1.94813 - 14.8089i) q^{85} +(1.54261 + 0.561466i) q^{86} +(5.43360 + 4.55933i) q^{87} +(-2.94218 + 5.09600i) q^{88} +(0.148951 - 0.0262641i) q^{89} +(-5.40009 + 10.3760i) q^{90} +(8.23038 + 9.80858i) q^{91} +(-3.22076 + 1.17226i) q^{92} +(5.80888 - 2.11426i) q^{93} +(-6.42376 - 7.65554i) q^{94} +(-5.58876 - 2.90862i) q^{95} +(-2.82540 + 0.498195i) q^{96} +(-9.05452 + 15.6829i) q^{97} +(-1.97103 - 1.65389i) q^{98} +(-28.9253 - 10.5280i) 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 $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{11}{18}\right)$	$-1$

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
$3$	0.981253	+	2.69597i	0.566526	+	1.55652i	0.809889	+	0.586583i	$0.199527\pi$
$3$	0.981253	+	2.69597i	0.566526	+	1.55652i	−0.243363	+	0.969935i	$0.578251\pi$
$4$	0.766044	+	0.642788i	0.383022	+	0.321394i
$5$	1.64845	−	1.51083i	0.737210	−	0.675664i
$5$	1.64845	−	1.51083i	0.737210	−	0.675664i
$6$			2.86899i			1.17126i
$7$	−2.07208	−	0.365363i	−0.783172	−	0.138094i	−0.232255	−	0.972655i	$-0.574611\pi$
$7$	−2.07208	−	0.365363i	−0.783172	−	0.138094i	−0.550916	+	0.834560i	$0.685722\pi$
$8$	0.500000	+	0.866025i	0.176777	+	0.306186i
$9$	−4.00726	+	3.36249i	−1.33575	+	1.12083i
$10$	2.06577	−	0.855912i	0.653254	−	0.270663i
$11$	2.94218	+	5.09600i	0.887100	+	1.53650i	0.843288	+	0.537462i	$0.180617\pi$
$11$	2.94218	+	5.09600i	0.887100	+	1.53650i	0.0438115	+	0.999040i	$0.486050\pi$
$12$	−0.981253	+	2.69597i	−0.283263	+	0.778259i
$13$	−4.66178	−	3.91170i	−1.29294	−	1.08491i	−0.991318	−	0.131483i	$-0.958026\pi$
$13$	−4.66178	−	3.91170i	−1.29294	−	1.08491i	−0.301626	−	0.953426i	$-0.597529\pi$
$14$	−1.82215	−	1.05202i	−0.486991	−	0.281165i
$15$	5.69070	+	2.96167i	1.46933	+	0.764700i
$16$	0.173648	+	0.984808i	0.0434120	+	0.246202i
$17$	5.11703	−	4.29370i	1.24106	−	1.04137i	0.243621	−	0.969871i	$-0.421665\pi$
$17$	5.11703	−	4.29370i	1.24106	−	1.04137i	0.997440	−	0.0715036i	$-0.0227797\pi$
$18$	−4.91563	+	1.78914i	−1.15863	+	0.421705i
$19$	−0.963675	−	2.64768i	−0.221082	−	0.607418i	0.778719	−	0.627373i	$-0.215870\pi$
$19$	−0.963675	−	2.64768i	−0.221082	−	0.607418i	−0.999801	+	0.0199549i	$0.993648\pi$
$20$	2.23393	−	0.0977587i	0.499522	−	0.0218595i
$21$	−1.04822	−	5.94477i	−0.228741	−	1.29726i
$22$	1.02181	+	5.79496i	0.217850	+	1.23549i
$23$	−1.71373	+	2.96826i	−0.357337	+	0.618926i	−0.987515	−	0.157525i	$-0.949649\pi$
$23$	−1.71373	+	2.96826i	−0.357337	+	0.618926i	0.630178	+	0.776451i	$0.282982\pi$
$24$	−1.84415	+	2.19777i	−0.376436	+	0.448619i
$25$	0.434785	−	4.98106i	0.0869570	−	0.996212i
$26$	−3.04276	−	5.27021i	−0.596734	−	1.03357i
$27$	−5.54345	−	3.20051i	−1.06684	−	0.615939i
$28$	−1.35245	−	1.61179i	−0.255590	−	0.304600i
$29$	2.14109	−	1.23616i	0.397591	−	0.229549i	−0.287853	−	0.957675i	$-0.592941\pi$
$29$	2.14109	−	1.23616i	0.397591	−	0.229549i	0.685444	+	0.728125i	$0.259608\pi$
$30$	4.33456	+	4.72939i	0.791378	+	0.863465i
$31$		−	2.15465i		−	0.386987i	−0.981102	−	0.193494i	$-0.938018\pi$
$31$		−	2.15465i		−	0.386987i	0.981102	−	0.193494i	$-0.0619818\pi$
$32$	−0.173648	+	0.984808i	−0.0306970	+	0.174091i
$33$	−10.8516	+	12.9325i	−1.88903	+	2.25126i
$34$	6.27696	−	2.28463i	1.07649	−	0.391810i
$35$	−3.96772	+	2.52827i	−0.670667	+	0.427356i
$36$	−5.23111			−0.871851
$37$	−2.51354	+	5.53914i	−0.413224	+	0.910629i
$37$	−2.51354	+	5.53914i	−0.413224	+	0.910629i
$38$		−	2.81760i		−	0.457075i
$39$	5.97143	−	16.4064i	0.956194	−	2.62712i
$40$	2.13264	+	0.672186i	0.337200	+	0.106282i
$41$	−1.23890	−	1.03956i	−0.193483	−	0.162352i	0.540900	−	0.841087i	$-0.318084\pi$
$41$	−1.23890	−	1.03956i	−0.193483	−	0.162352i	−0.734383	+	0.678735i	$0.762528\pi$
$42$	1.04822	−	5.94477i	0.161744	−	0.917298i
$43$	1.64162			0.250344			0.125172	−	0.992135i	$-0.460052\pi$
$43$	1.64162			0.250344			0.125172	+	0.992135i	$0.460052\pi$
$44$	−1.02181	+	5.79496i	−0.154043	+	0.873623i
$45$	−1.52562	+	11.5972i	−0.227426	+	1.72881i
$46$	−2.62558	+	2.20313i	−0.387121	+	0.324833i
$47$	−8.65471	−	4.99680i	−1.26242	−	0.728858i	−0.288877	−	0.957366i	$-0.593282\pi$
$47$	−8.65471	−	4.99680i	−1.26242	−	0.728858i	−0.973542	+	0.228508i	$0.926615\pi$
$48$	−2.48462	+	1.43450i	−0.358624	+	0.207052i
$49$	−2.41783	−	0.880019i	−0.345405	−	0.125717i
$50$	2.11219	−	4.53196i	0.298708	−	0.640916i
$51$	16.5968	+	9.58215i	2.32401	+	1.34177i
$52$	−1.05674	−	5.99307i	−0.146543	−	0.831089i
$53$	9.41304	−	1.65977i	1.29298	−	0.227987i	0.515497	−	0.856891i	$-0.327607\pi$
$53$	9.41304	−	1.65977i	1.29298	−	0.227987i	0.777483	+	0.628904i	$0.216496\pi$
$54$	−4.11450	−	4.90347i	−0.559912	−	0.667277i
$55$	12.5492	+	3.95538i	1.69214	+	0.533343i
$56$	−0.719625	−	1.97715i	−0.0961639	−	0.264208i
$57$	6.19244	−	5.19608i	0.820209	−	0.688237i
$58$	2.43476	−	0.429314i	0.319700	−	0.0563717i
$59$	−6.20265	+	1.09369i	−0.807517	+	0.142387i	−0.562141	−	0.827041i	$-0.690022\pi$
$59$	−6.20265	+	1.09369i	−0.807517	+	0.142387i	−0.245375	+	0.969428i	$0.578911\pi$
$60$	2.45560	+	5.92668i	0.317017	+	0.765131i
$61$	5.62259	−	6.70074i	0.719898	−	0.857942i	−0.274722	−	0.961524i	$-0.588586\pi$
$61$	5.62259	−	6.70074i	0.719898	−	0.857942i	0.994621	+	0.103582i	$0.0330304\pi$
$62$	0.736935	−	2.02471i	0.0935908	−	0.257139i
$63$	9.53188	−	5.50324i	1.20090	−	0.693343i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	−13.5946	+	0.594912i	−1.68621	+	0.0737898i
$66$	−14.6204	+	8.44108i	−1.79964	+	1.03902i
$67$	3.57966	+	0.631191i	0.437325	+	0.0771123i	0.387976	−	0.921669i	$-0.373174\pi$
$67$	3.57966	+	0.631191i	0.437325	+	0.0771123i	0.0493491	+	0.998782i	$0.484285\pi$
$68$	6.67980			0.810045
$69$	−9.68395	−	1.70754i	−1.16581	−	0.205564i
$70$	−4.59316	+	1.01876i	−0.548988	+	0.121765i
$71$	7.82307	−	2.84737i	0.928428	−	0.337920i	0.166842	−	0.985984i	$-0.446643\pi$
$71$	7.82307	−	2.84737i	0.928428	−	0.337920i	0.761586	+	0.648064i	$0.224421\pi$
$72$	−4.91563	−	1.78914i	−0.579313	−	0.210853i
$73$		−	0.888551i		−	0.103997i	−0.998647	−	0.0519985i	$-0.983441\pi$
$73$		−	0.888551i		−	0.103997i	0.998647	−	0.0519985i	$-0.0165591\pi$
$74$	−4.25646	+	4.34541i	−0.494803	+	0.505143i
$75$	13.8554	−	3.71551i	1.59989	−	0.429030i
$76$	0.963675	−	2.64768i	0.110541	−	0.303709i
$77$	−4.23453	−	11.6343i	−0.482569	−	1.32585i
$78$	11.2226	−	13.3746i	1.27071	−	1.51437i
$79$	3.75772	+	0.662587i	0.422776	+	0.0745469i	0.380989	−	0.924580i	$-0.375584\pi$
$79$	3.75772	+	0.662587i	0.422776	+	0.0745469i	0.0417875	+	0.999127i	$0.486695\pi$
$80$	1.77413	+	1.36106i	0.198354	+	0.152171i
$81$	0.463840	−	2.63057i	0.0515378	−	0.292286i
$82$	−0.808632	−	1.40059i	−0.0892985	−	0.154670i
$83$	−0.0733685	−	0.0874372i	−0.00805324	−	0.00959748i	0.762003	−	0.647574i	$-0.224216\pi$
$83$	−0.0733685	−	0.0874372i	−0.00805324	−	0.00959748i	−0.770056	+	0.637976i	$0.779772\pi$
$84$	3.01824	−	5.22774i	0.329317	−	0.570394i
$85$	1.94813	−	14.8089i	0.211304	−	1.60625i
$86$	1.54261	+	0.561466i	0.166344	+	0.0605444i
$87$	5.43360	+	4.55933i	0.582543	+	0.488812i
$88$	−2.94218	+	5.09600i	−0.313637	+	0.543235i
$89$	0.148951	−	0.0262641i	0.0157888	−	0.00278399i	−0.165748	−	0.986168i	$-0.553004\pi$
$89$	0.148951	−	0.0262641i	0.0157888	−	0.00278399i	0.181537	+	0.983384i	$0.441893\pi$
$90$	−5.40009	+	10.3760i	−0.569219	+	1.09373i
$91$	8.23038	+	9.80858i	0.862778	+	1.02822i
$92$	−3.22076	+	1.17226i	−0.335787	+	0.122216i
$93$	5.80888	−	2.11426i	0.602352	−	0.219238i
$94$	−6.42376	−	7.65554i	−0.662560	−	0.789609i
$95$	−5.58876	−	2.90862i	−0.573395	−	0.298418i
$96$	−2.82540	+	0.498195i	−0.288367	+	0.0508468i
$97$	−9.05452	+	15.6829i	−0.919347	+	1.59236i	−0.118939	+	0.992902i	$0.537949\pi$
$97$	−9.05452	+	15.6829i	−0.919347	+	1.59236i	−0.800409	+	0.599455i	$0.795384\pi$
$98$	−1.97103	−	1.65389i	−0.199105	−	0.167069i
$99$	−28.9253	−	10.5280i	−2.90710	−	1.05810i
$100$	3.53483	−	3.53624i	0.353483	−	0.353624i
$101$	−5.68350	+	9.84411i	−0.565529	+	0.979525i	0.431471	+	0.902127i	$0.357995\pi$
$101$	−5.68350	+	9.84411i	−0.565529	+	0.979525i	−0.997000	+	0.0773985i	$0.975339\pi$
$102$	12.3186	+	14.6807i	1.21972	+	1.45361i
$103$	1.47062	+	2.54718i	0.144904	+	0.250981i	0.929337	−	0.369232i	$-0.120379\pi$
$103$	1.47062	+	2.54718i	0.144904	+	0.250981i	−0.784433	+	0.620213i	$0.787046\pi$
$104$	1.05674	−	5.99307i	0.103622	−	0.587668i
$105$	−10.7095	−	8.21598i	−1.04514	−	0.801798i
$106$	9.41304	+	1.65977i	0.914275	+	0.161211i
$107$	−2.73791	+	3.26291i	−0.264684	+	0.315438i	−0.881974	−	0.471298i	$-0.843786\pi$
$107$	−2.73791	+	3.26291i	−0.264684	+	0.315438i	0.617291	+	0.786735i	$0.288230\pi$
$108$	−2.18928	−	6.01499i	−0.210663	−	0.578793i
$109$	2.93988	−	8.07726i	0.281590	−	0.773662i	−0.715584	−	0.698527i	$-0.753839\pi$
$109$	2.93988	−	8.07726i	0.281590	−	0.773662i	0.997173	−	0.0751345i	$-0.0239386\pi$
$110$	10.4396	+	8.00893i	0.995376	+	0.763621i
$111$	−17.3998	−	1.34114i	−1.65151	−	0.127296i
$112$		−	2.10404i		−	0.198813i
$113$	4.06777	+	1.48055i	0.382664	+	0.139278i	0.526187	−	0.850369i	$-0.323621\pi$
$113$	4.06777	+	1.48055i	0.382664	+	0.139278i	−0.143524	+	0.989647i	$0.545843\pi$
$114$	7.59616	−	2.76477i	0.711445	−	0.258945i
$115$	1.65955	+	7.48219i	0.154753	+	0.697718i
$116$	2.43476	+	0.429314i	0.226062	+	0.0398608i
$117$	31.8340			2.94305
$118$	−6.20265	−	1.09369i	−0.571000	−	0.100683i
$119$	−12.1716	+	7.02730i	−1.11577	+	0.644191i
$120$	0.280469	+	6.40912i	0.0256032	+	0.585070i
$121$	−11.8128	+	20.4604i	−1.07389	+	1.86003i
$122$	7.57529	−	4.37360i	0.685835	−	0.395967i
$123$	1.58694	−	4.36010i	0.143090	−	0.393137i
$124$	1.38498	−	1.65056i	0.124375	−	0.148225i
$125$	−6.80881	−	8.86792i	−0.608999	−	0.793171i
$126$	10.8393	−	1.91125i	0.965638	−	0.170268i
$127$	−21.5911	+	3.80710i	−1.91590	+	0.337825i	−0.998228	−	0.0595091i	$-0.981046\pi$
$127$	−21.5911	+	3.80710i	−1.91590	+	0.337825i	−0.917674	+	0.397334i	$0.869935\pi$
$128$	−0.766044	+	0.642788i	−0.0677094	+	0.0568149i
$129$	1.61084	+	4.42574i	0.141826	+	0.389665i
$130$	−12.9782	−	4.09060i	−1.13827	−	0.358769i
$131$	−1.94165	−	2.31397i	−0.169643	−	0.202173i	0.674524	−	0.738253i	$-0.264349\pi$
$131$	−1.94165	−	2.31397i	−0.169643	−	0.202173i	−0.844167	+	0.536080i	$0.819904\pi$
$132$	−16.6257	+	2.93156i	−1.44708	+	0.255159i
$133$	1.02945	+	5.83828i	0.0892643	+	0.506243i
$134$	3.14790	+	1.81744i	0.271937	+	0.157003i
$135$	−13.9735	+	3.09932i	−1.20265	+	0.266747i
$136$	6.27696	+	2.28463i	0.538245	+	0.195905i
$137$	−11.5810	+	6.68630i	−0.989433	+	0.571249i	−0.905105	−	0.425189i	$-0.860208\pi$
$137$	−11.5810	+	6.68630i	−0.989433	+	0.571249i	−0.0843281	+	0.996438i	$0.526874\pi$
$138$	−8.51592	−	4.91667i	−0.724924	−	0.418535i
$139$	3.51922	−	2.95298i	0.298496	−	0.250468i	−0.481222	−	0.876599i	$-0.659807\pi$
$139$	3.51922	−	2.95298i	0.298496	−	0.250468i	0.779718	+	0.626131i	$0.215362\pi$
$140$	−4.66459	−	0.613632i	−0.394230	−	0.0518614i
$141$	4.97876	−	28.2360i	0.419287	−	2.37790i
$142$	8.32514			0.698630
$143$	6.21823	−	35.2653i	0.519994	−	2.94903i
$144$	−4.00726	−	3.36249i	−0.333938	−	0.280208i
$145$	1.66186	−	5.27258i	0.138010	−	0.437864i
$146$	0.303902	−	0.834965i	0.0251511	−	0.0691022i
$147$		−	7.38192i		−	0.608851i
$148$	−5.48598	+	2.62755i	−0.450945	+	0.215984i
$149$	3.29151			0.269651			0.134825	−	0.990869i	$-0.456953\pi$
$149$	3.29151			0.269651			0.134825	+	0.990869i	$0.456953\pi$
$150$	14.2906	+	1.24739i	1.16682	+	0.101849i
$151$	−7.42778	+	2.70349i	−0.604465	+	0.220007i	−0.626079	−	0.779759i	$-0.715341\pi$
$151$	−7.42778	+	2.70349i	−0.604465	+	0.220007i	0.0216149	+	0.999766i	$0.493119\pi$
$152$	1.81112	−	2.15840i	0.146901	−	0.175070i
$153$	−6.06775	+	34.4119i	−0.490548	+	2.78204i
$154$		−	12.3809i		−	0.997684i
$155$	−3.25531	−	3.55184i	−0.261473	−	0.285291i
$156$	15.1202	−	8.72965i	1.21058	−	0.698931i
$157$	−6.07653	−	7.24172i	−0.484960	−	0.577952i	0.466969	−	0.884274i	$-0.345346\pi$
$157$	−6.07653	−	7.24172i	−0.484960	−	0.577952i	−0.951928	+	0.306322i	$0.900902\pi$
$158$	3.30448	+	1.90784i	0.262890	+	0.151780i
$159$	13.7113	+	23.7486i	1.08737	+	1.88339i
$160$	1.20163	+	1.88576i	0.0949969	+	0.149082i
$161$	4.63547	−	5.52434i	0.365326	−	0.435379i
$162$	1.33558	−	2.31328i	0.104933	−	0.181749i
$163$	3.95392	+	22.4238i	0.309695	+	1.75637i	0.600539	+	0.799596i	$0.294953\pi$
$163$	3.95392	+	22.4238i	0.309695	+	1.75637i	−0.290844	+	0.956771i	$0.593936\pi$
$164$	−0.280835	−	1.59269i	−0.0219295	−	0.124369i
$165$	1.65038	+	37.7135i	0.128482	+	2.93600i
$166$	−0.0390386	−	0.107258i	−0.00302998	−	0.00832481i
$167$	10.3496	−	3.76694i	0.800874	−	0.291494i	0.0910254	−	0.995849i	$-0.470986\pi$
$167$	10.3496	−	3.76694i	0.800874	−	0.291494i	0.709849	+	0.704354i	$0.248763\pi$
$168$	4.62421	−	3.88017i	0.356766	−	0.299362i
$169$	4.17338	+	23.6684i	0.321029	+	1.82065i
$170$	6.89559	−	13.2495i	0.528867	−	1.01619i
$171$	12.7645	+	7.36958i	0.976124	+	0.563566i
$172$	1.25755	+	1.05521i	0.0958873	+	0.0804590i
$173$	3.33858	−	9.17268i	0.253828	−	0.697386i	−0.745689	−	0.666294i	$-0.767879\pi$
$173$	3.33858	−	9.17268i	0.253828	−	0.697386i	0.999517	−	0.0310917i	$-0.00989838\pi$
$174$	3.54653	+	6.14277i	0.268862	+	0.465682i
$175$	−2.72081	+	10.1623i	−0.205674	+	0.768197i
$176$	−4.50768	+	3.78239i	−0.339779	+	0.285108i
$177$	−9.03494	−	15.6490i	−0.679107	−	1.17625i
$178$	0.148951	+	0.0262641i	0.0111644	+	0.00196858i
$179$		−	20.9934i		−	1.56912i	−0.620052	−	0.784561i	$-0.712888\pi$
$179$		−	20.9934i		−	1.56912i	0.620052	−	0.784561i	$-0.287112\pi$
$180$	−8.62322	+	7.90331i	−0.642737	+	0.589078i
$181$	−1.39718	−	1.17237i	−0.103852	−	0.0871418i	0.589383	−	0.807853i	$-0.299371\pi$
$181$	−1.39718	−	1.17237i	−0.103852	−	0.0871418i	−0.693235	+	0.720712i	$0.743815\pi$
$182$	4.37929	+	12.0320i	0.324615	+	0.891872i
$183$	23.5822	+	8.58320i	1.74324	+	0.634489i
$184$	−3.42746			−0.252675
$185$	4.22525	+	12.9285i	0.310646	+	0.950526i
$186$	6.18168			0.453263
$187$	36.9359	+	13.4436i	2.70102	+	0.983090i
$188$	−3.41801	−	9.39091i	−0.249284	−	0.684903i
$189$	10.3171	+	8.65708i	0.750459	+	0.629710i
$190$	−4.25691	−	4.64467i	−0.308829	−	0.336960i
$191$			1.42419i			0.103051i	0.998672	+	0.0515254i	$0.0164083\pi$
$191$			1.42419i			0.103051i	−0.998672	+	0.0515254i	$0.983592\pi$
$192$	−2.82540	−	0.498195i	−0.203906	−	0.0359541i
$193$	−0.335107	−	0.580423i	−0.0241216	−	0.0417798i	0.853713	−	0.520744i	$-0.174346\pi$
$193$	−0.335107	−	0.580423i	−0.0241216	−	0.0417798i	−0.877834	+	0.478965i	$0.841012\pi$
$194$	−13.8723	+	11.6403i	−0.995975	+	0.835723i
$195$	−14.9436	−	36.0669i	−1.07014	−	2.58281i
$196$	−1.28650	−	2.22829i	−0.0918930	−	0.159163i
$197$	−5.72003	+	15.7157i	−0.407535	+	1.11969i	0.550947	+	0.834540i	$0.314267\pi$
$197$	−5.72003	+	15.7157i	−0.407535	+	1.11969i	−0.958482	+	0.285153i	$0.907955\pi$
$198$	−23.5801	−	19.7861i	−1.67577	−	1.40614i
$199$	−16.6438	−	9.60931i	−1.17985	−	0.681186i	−0.223869	−	0.974619i	$-0.571869\pi$
$199$	−16.6438	−	9.60931i	−1.17985	−	0.681186i	−0.955979	+	0.293434i	$0.905202\pi$
$200$	4.53112	−	2.11400i	0.320398	−	0.149482i
$201$	1.81088	+	10.2700i	0.127730	+	0.724391i
$202$	−8.70762	+	7.30656i	−0.612666	+	0.514088i
$203$	−4.88816	+	1.77914i	−0.343081	+	0.124871i
$204$	6.55457	+	18.0085i	0.458912	+	1.26085i
$205$	−3.61286	+	0.158102i	−0.252333	+	0.0110423i
$206$	0.510740	+	2.89655i	0.0355849	+	0.201812i
$207$	−3.11341	−	17.6570i	−0.216397	−	1.22725i
$208$	3.04276	−	5.27021i	0.210977	−	0.365424i
$209$	10.6573	−	12.7008i	0.737177	−	0.878534i
$210$	−7.25359	−	11.3834i	−0.500546	−	0.785526i
$211$	−7.19992	−	12.4706i	−0.495663	−	0.858513i	0.504325	−	0.863514i	$-0.331742\pi$
$211$	−7.19992	−	12.4706i	−0.495663	−	0.858513i	−0.999987	+	0.00500081i	$0.998408\pi$
$212$	8.27769	+	4.77913i	0.568514	+	0.328232i
$213$	15.3528	+	18.2968i	1.05196	+	1.25367i
$214$	−3.68877	+	2.12971i	−0.252159	+	0.145584i
$215$	2.70612	−	2.48020i	0.184556	−	0.169148i
$216$		−	6.40102i		−	0.435534i
$217$	−0.787231	+	4.46461i	−0.0534407	+	0.303077i
$218$	5.52517	−	6.58465i	0.374212	−	0.445968i
$219$	2.39551	−	0.871893i	0.161873	−	0.0589171i
$220$	7.07079	+	11.0965i	0.476713	+	0.748125i
$221$	−40.6501			−2.73442
$222$	−15.8917	−	7.21134i	−1.06658	−	0.483993i
$223$		−	11.8249i		−	0.791855i	−0.918282	−	0.395927i	$-0.870423\pi$
$223$		−	11.8249i		−	0.791855i	0.918282	−	0.395927i	$-0.129577\pi$
$224$	0.719625	−	1.97715i	0.0480820	−	0.132104i
$225$	15.0065	+	21.4224i	1.00043	+	1.42816i
$226$	3.31608	+	2.78252i	0.220582	+	0.185090i
$227$	−2.59526	+	14.7184i	−0.172253	+	0.976896i	0.769014	+	0.639232i	$0.220748\pi$
$227$	−2.59526	+	14.7184i	−0.172253	+	0.976896i	−0.941267	+	0.337664i	$0.890363\pi$
$228$	8.08366			0.535353
$229$	−1.71426	+	9.72206i	−0.113282	+	0.642452i	0.874305	+	0.485377i	$0.161318\pi$
$229$	−1.71426	+	9.72206i	−0.113282	+	0.642452i	−0.987587	+	0.157075i	$0.949794\pi$
$230$	−0.999598	+	7.59856i	−0.0659116	+	0.501034i
$231$	27.2105	−	22.8323i	1.79032	−	1.50226i
$232$	2.14109	+	1.23616i	0.140570	+	0.0811579i
$233$	0.625770	−	0.361288i	0.0409955	−	0.0236688i	−0.479362	−	0.877617i	$-0.659132\pi$
$233$	0.625770	−	0.361288i	0.0409955	−	0.0236688i	0.520358	+	0.853948i	$0.325799\pi$
$234$	29.9142	+	10.8879i	1.95555	+	0.711762i
$235$	−21.8162	+	4.83881i	−1.42313	+	0.315649i
$236$	−5.45452	−	3.14917i	−0.355059	−	0.204993i
$237$	1.90096	+	10.7809i	0.123480	+	0.700292i
$238$	−13.8411	+	2.44055i	−0.897184	+	0.158198i
$239$	−1.20852	−	1.44026i	−0.0781729	−	0.0931629i	0.725540	−	0.688180i	$-0.241590\pi$
$239$	−1.20852	−	1.44026i	−0.0781729	−	0.0931629i	−0.803713	+	0.595017i	$0.797145\pi$
$240$	−1.92849	+	6.11853i	−0.124484	+	0.394950i
$241$	6.65101	+	18.2735i	0.428429	+	1.17710i	0.946766	+	0.321923i	$0.104329\pi$
$241$	6.65101	+	18.2735i	0.428429	+	1.17710i	−0.518337	+	0.855177i	$0.673449\pi$
$242$	−18.0983	+	15.1863i	−1.16340	+	0.976209i
$243$	−11.3642	+	2.00382i	−0.729017	+	0.128545i
$244$	8.61430	−	1.51893i	0.551474	−	0.0972398i
$245$	−5.31524	+	2.20226i	−0.339578	+	0.140698i
$246$	2.98248	−	3.55438i	0.190156	−	0.226619i
$247$	−5.86446	+	16.1125i	−0.373147	+	1.02521i
$248$	1.86598	−	1.07733i	0.118490	−	0.0684103i
$249$	0.163735	−	0.283597i	0.0103763	−	0.0179722i
$250$	−3.36518	−	10.6619i	−0.212833	−	0.674316i
$251$	−15.0788	+	8.70576i	−0.951766	+	0.549502i	−0.893629	−	0.448806i	$-0.851849\pi$
$251$	−15.0788	+	8.70576i	−0.951766	+	0.549502i	−0.0581370	+	0.998309i	$0.518516\pi$
$252$	10.8393	+	1.91125i	0.682809	+	0.120398i
$253$	−20.1684			−1.26797
$254$	−21.5911	−	3.80710i	−1.35475	−	0.238878i
$255$	41.8360	−	9.27919i	2.61987	−	0.581085i
$256$	−0.939693	+	0.342020i	−0.0587308	+	0.0213763i
$257$	−22.5905	−	8.22227i	−1.40916	−	0.512891i	−0.478275	−	0.878210i	$-0.658738\pi$
$257$	−22.5905	−	8.22227i	−1.40916	−	0.512891i	−0.930882	+	0.365319i	$0.880960\pi$
$258$			4.70978i			0.293218i
$259$	7.23206	−	10.5592i	0.449378	−	0.656115i
$260$	−10.7965	−	8.28273i	−0.669570	−	0.513673i
$261$	−4.42334	+	12.1530i	−0.273798	+	0.752253i
$262$	−1.03313	−	2.83851i	−0.0638272	−	0.175364i
$263$	−8.07831	+	9.62736i	−0.498130	+	0.593648i	−0.955266	−	0.295749i	$-0.904431\pi$
$263$	−8.07831	+	9.62736i	−0.498130	+	0.593648i	0.457136	+	0.889397i	$0.348875\pi$
$264$	−16.6257	−	2.93156i	−1.02324	−	0.180425i
$265$	13.0093	−	16.9576i	0.799155	−	1.04169i
$266$	−1.02945	+	5.83828i	−0.0631194	+	0.357968i
$267$	0.216966	+	0.375796i	0.0132781	+	0.0229984i
$268$	2.33646	+	2.78448i	0.142722	+	0.170089i
$269$	−4.70913	+	8.15645i	−0.287120	+	0.497307i	−0.973121	−	0.230294i	$-0.926031\pi$
$269$	−4.70913	+	8.15645i	−0.287120	+	0.497307i	0.686001	+	0.727601i	$0.259365\pi$
$270$	−14.1909	−	1.86682i	−0.863628	−	0.113611i
$271$	24.3478	+	8.86188i	1.47902	+	0.538321i	0.950535	−	0.310618i	$-0.100536\pi$
$271$	24.3478	+	8.86188i	1.47902	+	0.538321i	0.528490	+	0.848939i	$0.322758\pi$
$272$	5.11703	+	4.29370i	0.310265	+	0.260344i
$273$	−18.3676	+	31.8135i	−1.11165	+	1.92544i
$274$	−13.1694	+	2.32213i	−0.795595	+	0.140285i
$275$	26.6627	−	12.4395i	1.60782	−	0.750130i
$276$	−6.32075	−	7.53278i	−0.380464	−	0.453420i
$277$	13.9706	−	5.08490i	0.839415	−	0.305522i	0.113698	−	0.993515i	$-0.463730\pi$
$277$	13.9706	−	5.08490i	0.839415	−	0.305522i	0.725717	+	0.687993i	$0.241508\pi$
$278$	4.31696	−	1.57125i	0.258914	−	0.0942371i
$279$	7.24500	+	8.63425i	0.433747	+	0.516919i
$280$	−4.17341	−	2.17201i	−0.249409	−	0.129802i
$281$	−7.42315	+	1.30890i	−0.442828	+	0.0780826i	−0.390617	−	0.920553i	$-0.627738\pi$
$281$	−7.42315	+	1.30890i	−0.442828	+	0.0780826i	−0.0522117	+	0.998636i	$0.516627\pi$
$282$	14.3358	−	24.8303i	0.853683	−	1.47862i
$283$	−0.0966131	−	0.0810680i	−0.00574305	−	0.00481899i	0.639912	−	0.768449i	$-0.278971\pi$
$283$	−0.0966131	−	0.0810680i	−0.00574305	−	0.00481899i	−0.645655	+	0.763630i	$0.723415\pi$
$284$	7.82307	+	2.84737i	0.464214	+	0.168960i
$285$	2.35755	−	17.9212i	0.139649	−	1.06156i
$286$	17.9047	−	31.0118i	1.05873	−	1.83377i
$287$	2.18727	+	2.60669i	0.129111	+	0.153868i
$288$	−2.61555	−	4.53027i	−0.154123	−	0.266949i
$289$	4.79613	−	27.2002i	0.282125	−	1.60001i
$290$	3.36496	−	4.38621i	0.197597	−	0.257567i
$291$	−51.1654	−	9.02183i	−2.99937	−	0.528869i
$292$	0.571150	−	0.680669i	0.0334240	−	0.0398332i
$293$	5.62993	+	15.4681i	0.328904	+	0.903657i	0.988390	+	0.151940i	$0.0485520\pi$
$293$	5.62993	+	15.4681i	0.328904	+	0.903657i	−0.659486	+	0.751717i	$0.729226\pi$
$294$	2.52477	−	6.93674i	0.147247	−	0.404559i
$295$	−8.57238	+	11.1741i	−0.499104	+	0.650579i
$296$	−6.05381	+	0.592777i	−0.351871	+	0.0344545i
$297$		−	37.6659i		−	2.18560i
$298$	3.09300	+	1.12576i	0.179173	+	0.0652136i
$299$	19.6000	−	7.13381i	1.13350	−	0.412559i
$300$	13.0022	+	6.05985i	0.750680	+	0.349865i
$301$	−3.40155	−	0.599786i	−0.196062	−	0.0345711i
$302$	−7.90448			−0.454852
$303$	−32.1164	−	5.66298i	−1.84504	−	0.325330i
$304$	2.44011	−	1.40880i	0.139950	−	0.0808002i
$305$	−0.855114	−	19.5406i	−0.0489637	−	1.11889i
$306$	−17.4714	+	30.2613i	−0.998772	+	1.72992i
$307$	11.6997	−	6.75480i	0.667735	−	0.385517i	−0.127483	−	0.991841i	$-0.540690\pi$
$307$	11.6997	−	6.75480i	0.667735	−	0.385517i	0.795218	+	0.606324i	$0.207357\pi$
$308$	4.23453	−	11.6343i	0.241285	−	0.662924i
$309$	−5.42408	+	6.46416i	−0.308565	+	0.367733i
$310$	−1.84419	−	4.45102i	−0.104743	−	0.252801i
$311$	6.31037	−	1.11269i	0.357829	−	0.0630948i	0.00815580	−	0.999967i	$-0.497404\pi$
$311$	6.31037	−	1.11269i	0.357829	−	0.0630948i	0.349673	+	0.936872i	$0.386293\pi$
$312$	17.1940	−	3.03177i	0.973421	−	0.171640i
$313$	7.30898	−	6.13296i	0.413128	−	0.346655i	−0.412414	−	0.910997i	$-0.635314\pi$
$313$	7.30898	−	6.13296i	0.413128	−	0.346655i	0.825542	+	0.564341i	$0.190870\pi$
$314$	−3.23325	−	8.88329i	−0.182463	−	0.501313i
$315$	7.39840	−	23.4729i	0.416852	−	1.32255i
$316$	2.45268	+	2.92299i	0.137974	+	0.164431i
$317$	25.1746	−	4.43895i	1.41394	−	0.249316i	0.586083	−	0.810251i	$-0.300669\pi$
$317$	25.1746	−	4.43895i	1.41394	−	0.249316i	0.827860	+	0.560934i	$0.189558\pi$
$318$	4.76187	+	27.0059i	0.267033	+	1.51442i
$319$	12.5989	+	7.27400i	0.705405	+	0.407266i
$320$	0.484191	+	2.18302i	0.0270671	+	0.122034i
$321$	−11.4833	−	4.17957i	−0.640935	−	0.233281i
$322$	6.24536	−	3.60576i	0.348040	−	0.200941i
$323$	−16.2995	−	9.41050i	−0.906926	−	0.523614i
$324$	2.04622	−	1.71698i	0.113679	−	0.0953879i
$325$	−21.5113	+	21.5198i	−1.19323	+	1.19371i
$326$	−3.95392	+	22.4238i	−0.218987	+	1.24194i
$327$	24.6608			1.36375
$328$	0.280835	−	1.59269i	0.0155065	−	0.0879419i
$329$	16.1076	+	13.5159i	0.888040	+	0.745154i
$330$	−11.3479	+	36.0036i	−0.624684	+	1.98193i
$331$	4.06167	−	11.1594i	0.223250	−	0.613374i	−0.776612	−	0.629979i	$-0.783064\pi$
$331$	4.06167	−	11.1594i	0.223250	−	0.613374i	0.999862	+	0.0166050i	$0.00528579\pi$
$332$		−	0.114141i		−	0.00626431i
$333$	−8.55288	−	30.6485i	−0.468695	−	1.67953i
$334$	11.0138			0.602648
$335$	6.85452	−	4.36777i	0.374503	−	0.238637i
$336$	5.67243	−	2.06460i	0.309457	−	0.112633i
$337$	16.7520	−	19.9643i	0.912541	−	1.08752i	−0.0833098	−	0.996524i	$-0.526549\pi$
$337$	16.7520	−	19.9643i	0.912541	−	1.08752i	0.995851	−	0.0910003i	$-0.0290064\pi$
$338$	−4.17338	+	23.6684i	−0.227002	+	1.28739i
$339$			12.4194i			0.674528i
$340$	11.0113	−	10.0920i	0.597173	−	0.547318i
$341$	10.9801	−	6.33937i	0.594606	−	0.343296i
$342$	9.47414	+	11.2908i	0.512303	+	0.610539i
$343$	17.4435	+	10.0710i	0.941860	+	0.543783i
$344$	0.820808	+	1.42168i	0.0442550	+	0.0766519i
$345$	−18.5433	+	11.8160i	−0.998339	+	0.636152i
$346$	6.27448	−	7.47764i	0.337318	−	0.402000i
$347$	0.295251	−	0.511390i	0.0158499	−	0.0274528i	−0.857992	−	0.513664i	$-0.828288\pi$
$347$	0.295251	−	0.511390i	0.0158499	−	0.0274528i	0.873842	+	0.486211i	$0.161621\pi$
$348$	1.23170	+	6.98530i	0.0660259	+	0.374452i
$349$	1.07927	+	6.12084i	0.0577719	+	0.327641i	0.999973	−	0.00740828i	$-0.00235815\pi$
$349$	1.07927	+	6.12084i	0.0577719	+	0.327641i	−0.942201	+	0.335049i	$0.891247\pi$
$350$	−6.03243	+	8.61886i	−0.322447	+	0.460697i
$351$	13.3229	+	36.6043i	0.711123	+	1.95380i
$352$	−5.52948	+	2.01257i	−0.294722	+	0.107270i
$353$	22.4588	−	18.8452i	1.19536	−	1.00303i	0.195612	−	0.980681i	$-0.437331\pi$
$353$	22.4588	−	18.8452i	1.19536	−	1.00303i	0.999750	−	0.0223472i	$-0.00711392\pi$
$354$	−3.13780	−	17.7953i	−0.166772	−	0.945812i
$355$	8.59407	−	16.5131i	0.456126	−	0.876423i
$356$	0.130986	+	0.0756245i	0.00694222	+	0.00400809i
$357$	−30.8888	−	25.9188i	−1.63481	−	1.37177i
$358$	7.18017	−	19.7274i	0.379484	−	1.04262i
$359$	5.49026	+	9.50942i	0.289765	+	0.501888i	0.973754	−	0.227605i	$-0.0730895\pi$
$359$	5.49026	+	9.50942i	0.289765	+	0.501888i	−0.683989	+	0.729493i	$0.739756\pi$
$360$	−10.8063	+	4.47737i	−0.569541	+	0.235978i
$361$	8.47333	−	7.10997i	0.445965	−	0.374209i
$362$	−0.911944	−	1.57953i	−0.0479307	−	0.0830185i
$363$	−66.7519	−	11.7702i	−3.50357	−	0.617773i
$364$			12.8042i			0.671122i
$365$	−1.34245	−	1.46473i	−0.0702670	−	0.0766676i
$366$	19.2244	+	16.1311i	1.00487	+	0.843189i
$367$	2.54898	+	7.00326i	0.133056	+	0.365567i	0.988272	−	0.152704i	$-0.0487980\pi$
$367$	2.54898	+	7.00326i	0.133056	+	0.365567i	−0.855216	+	0.518271i	$0.826576\pi$
$368$	−3.22076	−	1.17226i	−0.167894	−	0.0611082i
$369$	8.46008			0.440414
$370$	−0.451391	+	13.5940i	−0.0234667	+	0.706717i
$371$	−20.1110			−1.04411
$372$	5.80888	+	2.11426i	0.301176	+	0.109619i
$373$	−5.93595	−	16.3089i	−0.307352	−	0.844442i	−0.993171	−	0.116670i	$-0.962778\pi$
$373$	−5.93595	−	16.3089i	−0.307352	−	0.844442i	0.685819	−	0.727772i	$-0.259444\pi$
$374$	30.1104	+	25.2656i	1.55697	+	1.30645i
$375$	17.2265	−	27.0580i	0.889572	−	1.39727i
$376$		−	9.99360i		−	0.515380i
$377$	−14.8168	−	2.61260i	−0.763103	−	0.134556i
$378$	6.73401	+	11.6637i	0.346360	+	0.599913i
$379$	−9.80571	+	8.22797i	−0.503685	+	0.422642i	−0.858901	−	0.512142i	$-0.828852\pi$
$379$	−9.80571	+	8.22797i	−0.503685	+	0.422642i	0.355215	+	0.934785i	$0.384408\pi$
$380$	−2.41162	−	5.82051i	−0.123713	−	0.298586i
$381$	−31.4502	−	54.4733i	−1.61124	−	2.79075i
$382$	−0.487102	+	1.33830i	−0.0249223	+	0.0684734i
$383$	12.2974	+	10.3188i	0.628369	+	0.527264i	0.900422	−	0.435018i	$-0.143258\pi$
$383$	12.2974	+	10.3188i	0.628369	+	0.527264i	−0.272053	+	0.962282i	$0.587703\pi$
$384$	−2.48462	−	1.43450i	−0.126793	−	0.0732038i
$385$	−24.5578	−	12.7809i	−1.25158	−	0.651374i
$386$	−0.116382	−	0.660033i	−0.00592367	−	0.0335948i
$387$	−6.57838	+	5.51992i	−0.334398	+	0.280593i
$388$	−17.0169	+	6.19366i	−0.863904	+	0.314435i
$389$	−8.45968	−	23.2428i	−0.428923	−	1.17846i	−0.946467	−	0.322799i	$-0.895376\pi$
$389$	−8.45968	−	23.2428i	−0.428923	−	1.17846i	0.517545	−	0.855656i	$-0.326846\pi$
$390$	−1.70680	−	39.0028i	−0.0864271	−	1.97499i
$391$	3.97563	+	22.5469i	0.201056	+	1.14025i
$392$	−0.446797	−	2.53391i	−0.0225667	−	0.127982i
$393$	4.33315	−	7.50523i	0.218578	−	0.378589i
$394$	−10.7501	+	12.8115i	−0.541584	+	0.645435i
$395$	7.19547	−	4.58503i	0.362043	−	0.230698i
$396$	−15.3908	−	26.6577i	−0.773419	−	1.33960i
$397$	11.2235	+	6.47991i	0.563293	+	0.325218i	0.754466	−	0.656339i	$-0.227896\pi$
$397$	11.2235	+	6.47991i	0.563293	+	0.325218i	−0.191173	+	0.981556i	$0.561229\pi$
$398$	−12.3535	−	14.7223i	−0.619224	−	0.737963i
$399$	−14.7297	+	8.50418i	−0.737406	+	0.425742i
$400$	4.98089	−	0.436772i	0.249044	−	0.0218386i
$401$			6.32131i			0.315671i	0.987465	+	0.157836i	$0.0504516\pi$
$401$			6.32131i			0.315671i	−0.987465	+	0.157836i	$0.949548\pi$
$402$	−1.81088	+	10.2700i	−0.0903186	+	0.512222i
$403$	−8.42835	+	10.0445i	−0.419846	+	0.500353i
$404$	−10.6815	+	3.88774i	−0.531424	+	0.193422i
$405$	−3.20973	−	5.03715i	−0.159493	−	0.250298i
$406$	−5.20187			−0.258164
$407$	−35.6228	+	3.48811i	−1.76575	+	0.172899i
$408$			19.1643i			0.948774i
$409$	−6.73372	+	18.5007i	−0.332961	+	0.914802i	0.654377	+	0.756169i	$0.272931\pi$
$409$	−6.73372	+	18.5007i	−0.332961	+	0.914802i	−0.987338	+	0.158634i	$0.949291\pi$
$410$	−3.44905	−	1.08710i	−0.170336	−	0.0536882i
$411$	−29.3900	−	24.6611i	−1.44970	−	1.21644i
$412$	−0.510740	+	2.89655i	−0.0251623	+	0.142703i
$413$	13.2520			0.652087
$414$	3.11341	−	17.6570i	0.153016	−	0.867794i
$415$	−0.253047	−	0.0332886i	−0.0124216	−	0.00163407i
$416$	4.66178	−	3.91170i	0.228562	−	0.191787i
$417$	11.4144	+	6.59009i	0.558965	+	0.322718i
$418$	14.3585	−	8.28987i	0.702296	−	0.405471i
$419$	−12.5515	−	4.56836i	−0.613180	−	0.223179i	0.0167141	−	0.999860i	$-0.494679\pi$
$419$	−12.5515	−	4.56836i	−0.613180	−	0.223179i	−0.629894	+	0.776681i	$0.716902\pi$
$420$	−2.92281	−	13.1777i	−0.142619	−	0.643007i
$421$	24.6766	+	14.2470i	1.20266	+	0.694359i	0.961147	−	0.276038i	$-0.0890215\pi$
$421$	24.6766	+	14.2470i	1.20266	+	0.694359i	0.241518	+	0.970396i	$0.422355\pi$
$422$	−2.50051	−	14.1811i	−0.121723	−	0.690324i
$423$	51.4834	−	9.07790i	2.50321	−	0.441383i
$424$	6.14393	+	7.32205i	0.298375	+	0.355590i
$425$	−19.1623	−	27.3551i	−0.929510	−	1.32692i
$426$	8.16906	+	22.4443i	0.395792	+	1.08743i
$427$	−14.0986	+	11.8302i	−0.682281	+	0.572502i
$428$	−4.19472	+	0.739642i	−0.202759	+	0.0357519i
$429$	101.176	−	17.8400i	4.88482	−	0.861325i
$430$	3.39120	−	1.40508i	0.163538	−	0.0677589i
$431$	9.20205	−	10.9666i	0.443247	−	0.528241i	−0.497448	−	0.867494i	$-0.665730\pi$
$431$	9.20205	−	10.9666i	0.443247	−	0.528241i	0.940695	+	0.339252i	$0.110174\pi$
$432$	2.18928	−	6.01499i	0.105332	−	0.289396i
$433$	18.8435	−	10.8793i	0.905561	−	0.522826i	0.0265609	−	0.999647i	$-0.491544\pi$
$433$	18.8435	−	10.8793i	0.905561	−	0.522826i	0.879000	+	0.476821i	$0.158211\pi$
$434$	−2.26674	+	3.92611i	−0.108807	+	0.188459i
$435$	15.8454	−	0.693409i	0.759729	−	0.0332464i
$436$	7.44405	−	4.29782i	0.356505	−	0.205828i
$437$	9.51048	+	1.67695i	0.454948	+	0.0802196i
$438$	2.54924			0.121808
$439$	3.09117	+	0.545057i	0.147534	+	0.0260141i	0.246927	−	0.969034i	$-0.420579\pi$
$439$	3.09117	+	0.545057i	0.147534	+	0.0260141i	−0.0993936	+	0.995048i	$0.531690\pi$
$440$	2.84915	+	12.8456i	0.135828	+	0.612392i
$441$	12.6479	−	4.60347i	0.602283	−	0.219213i
$442$	−38.1986	−	13.9031i	−1.81692	−	0.661305i
$443$			16.9377i			0.804734i	0.915479	+	0.402367i	$0.131812\pi$
$443$			16.9377i			0.804734i	−0.915479	+	0.402367i	$0.868188\pi$
$444$	−12.4669	−	12.2117i	−0.591654	−	0.579543i
$445$	0.205858	−	0.268335i	0.00975862	−	0.0127203i
$446$	4.04436	−	11.1118i	0.191506	−	0.526158i
$447$	3.22980	+	8.87380i	0.152764	+	0.419716i
$448$	1.35245	−	1.61179i	0.0638974	−	0.0761499i
$449$	19.2264	+	3.39014i	0.907352	+	0.159991i	0.607801	−	0.794090i	$-0.292052\pi$
$449$	19.2264	+	3.39014i	0.907352	+	0.159991i	0.299551	+	0.954080i	$0.403163\pi$
$450$	6.77459	+	25.2630i	0.319357	+	1.19091i
$451$	1.65253	−	9.37198i	0.0778147	−	0.441309i
$452$	2.16442	+	3.74888i	0.101806	+	0.176332i
$453$	−14.5771	−	17.3723i	−0.684890	−	0.816220i
$454$	−7.47274	+	12.9432i	−0.350713	+	0.607453i
$455$	28.3865	+	3.73427i	1.33078	+	0.175065i
$456$	7.59616	+	2.76477i	0.355723	+	0.129472i
$457$	9.90846	+	8.31418i	0.463498	+	0.388921i	0.844416	−	0.535688i	$-0.179948\pi$
$457$	9.90846	+	8.31418i	0.463498	+	0.388921i	−0.380918	+	0.924609i	$0.624392\pi$
$458$	−4.93602	+	8.54944i	−0.230645	+	0.399489i
$459$	−42.1080	+	7.42477i	−1.96543	+	0.346559i
$460$	−3.53818	+	6.79843i	−0.164968	+	0.316978i
$461$	−21.5804	−	25.7185i	−1.00510	−	1.19783i	−0.980173	−	0.198142i	$-0.936509\pi$
$461$	−21.5804	−	25.7185i	−1.00510	−	1.19783i	−0.0249265	−	0.999689i	$-0.507935\pi$
$462$	33.3786	−	12.1488i	1.55291	−	0.565214i
$463$	−8.47983	+	3.08640i	−0.394091	+	0.143437i	−0.531462	−	0.847082i	$-0.678357\pi$
$463$	−8.47983	+	3.08640i	−0.394091	+	0.143437i	0.137371	+	0.990520i	$0.456135\pi$
$464$	1.58918	+	1.89391i	0.0737757	+	0.0879224i
$465$	6.38137	−	12.2615i	0.295929	−	0.568612i
$466$	0.711599	−	0.125474i	0.0329642	−	0.00581247i
$467$	0.0801869	−	0.138888i	0.00371061	−	0.00642696i	−0.864164	−	0.503210i	$-0.832152\pi$
$467$	0.0801869	−	0.138888i	0.00371061	−	0.00642696i	0.867875	+	0.496783i	$0.165486\pi$
$468$	24.3863	+	20.4625i	1.12725	+	0.945879i
$469$	−7.18673	−	2.61575i	−0.331852	−	0.120784i
$470$	−22.1555	−	2.91458i	−1.02196	−	0.134439i
$471$	13.5609	−	23.4881i	0.624851	−	1.08227i
$472$	−4.04849	−	4.82481i	−0.186347	−	0.222080i
$473$	4.82992	+	8.36567i	0.222080	+	0.384654i
$474$	−1.90096	+	10.7809i	−0.0873138	+	0.495181i
$475$	−13.6072	+	3.64895i	−0.624342	+	0.167425i
$476$	−13.8411	−	2.44055i	−0.634405	−	0.111863i
$477$	−32.1395	+	38.3024i	−1.47157	+	1.75375i
$478$	−0.643042	−	1.76674i	−0.0294121	−	0.0808090i
$479$	2.88185	−	7.91783i	0.131675	−	0.361775i	−0.856281	−	0.516511i	$-0.827231\pi$
$479$	2.88185	−	7.91783i	0.131675	−	0.361775i	0.987956	+	0.154736i	$0.0494528\pi$
$480$	−3.90485	+	5.08996i	−0.178231	+	0.232324i
$481$	33.3850	−	15.9900i	1.52223	−	0.729082i
$482$			19.4463i			0.885753i
$483$	19.4420	+	7.07632i	0.884643	+	0.321984i
$484$	−22.2008	+	8.08044i	−1.00913	+	0.367293i
$485$	8.76824	+	39.5323i	0.398145	+	1.79507i
$486$	−11.3642	−	2.00382i	−0.515493	−	0.0908953i
$487$	−7.66479			−0.347325			−0.173662	−	0.984805i	$-0.555560\pi$
$487$	−7.66479			−0.347325			−0.173662	+	0.984805i	$0.555560\pi$
$488$	8.61430	+	1.51893i	0.389951	+	0.0687589i
$489$	−56.5740	+	32.6630i	−2.55837	+	1.47707i
$490$	−5.74791	+	0.251533i	−0.259664	+	0.0113631i
$491$	9.81933	−	17.0076i	0.443140	−	0.767542i	−0.554780	−	0.831997i	$-0.687198\pi$
$491$	9.81933	−	17.0076i	0.443140	−	0.767542i	0.997921	+	0.0644553i	$0.0205310\pi$
$492$	4.01829	−	2.31996i	0.181158	−	0.104592i
$493$	5.64833	−	15.5187i	0.254388	−	0.698925i
$494$	−11.0216	+	13.1350i	−0.495885	+	0.590972i
$495$	−63.5879	+	26.3464i	−2.85806	+	1.18418i
$496$	2.12192	−	0.374152i	0.0952770	−	0.0167999i
$497$	−17.2503	+	3.04170i	−0.773783	+	0.136439i
$498$	0.250857	−	0.210494i	0.0112412	−	0.00943245i
$499$	11.7837	+	32.3755i	0.527512	+	1.44933i	0.861990	+	0.506924i	$0.169218\pi$
$499$	11.7837	+	32.3755i	0.527512	+	1.44933i	−0.334478	+	0.942403i	$0.608560\pi$
$500$	0.484338	−	11.1698i	0.0216602	−	0.499531i
$501$	20.3111	+	24.2058i	0.907432	+	1.08144i
$502$	−17.1470	+	3.02348i	−0.765308	+	0.134944i
$503$	−0.232750	−	1.31999i	−0.0103778	−	0.0588554i	0.979179	−	0.202998i	$-0.0650686\pi$
$503$	−0.232750	−	1.31999i	−0.0103778	−	0.0588554i	−0.989557	+	0.144143i	$0.953957\pi$
$504$	9.53188	+	5.50324i	0.424584	+	0.245134i
$505$	5.50380	+	24.8143i	0.244916	+	1.10422i
$506$	−18.9521	−	6.89799i	−0.842522	−	0.306653i
$507$	−59.7142	+	34.4760i	−2.65200	+	1.53113i
$508$	−18.9869	−	10.9621i	−0.842408	−	0.486364i
$509$	−2.68804	+	2.25554i	−0.119145	+	0.0999748i	−0.700414	−	0.713737i	$-0.747001\pi$
$509$	−2.68804	+	2.25554i	−0.119145	+	0.0999748i	0.581268	+	0.813712i	$0.302557\pi$
$510$	42.4866	+	5.58916i	1.88134	+	0.247492i
$511$	−0.324644	+	1.84115i	−0.0143614	+	0.0814475i
$512$	−1.00000			−0.0441942
$513$	−3.13183	+	17.7615i	−0.138274	+	0.784189i
$514$	−18.4160	−	15.4528i	−0.812293	−	0.681595i
$515$	6.27260	+	1.97705i	0.276404	+	0.0871194i
$516$	−1.61084	+	4.42574i	−0.0709132	+	0.194833i
$517$		−	58.8059i		−	2.58628i
$518$	10.4074	−	7.44887i	0.457273	−	0.327285i
$519$	28.0053			1.22929
$520$	−7.31252	−	11.4758i	−0.320675	−	0.503249i
$521$	7.59964	−	2.76604i	0.332946	−	0.121183i	−0.170137	−	0.985420i	$-0.554421\pi$
$521$	7.59964	−	2.76604i	0.332946	−	0.121183i	0.503083	+	0.864238i	$0.332199\pi$
$522$	−8.31315	+	9.90723i	−0.363857	+	0.433628i
$523$	2.82778	−	16.0372i	0.123650	−	0.701256i	−0.858450	−	0.512897i	$-0.828572\pi$
$523$	2.82778	−	16.0372i	0.123650	−	0.701256i	0.982100	−	0.188359i	$-0.0603167\pi$
$524$		−	3.02068i		−	0.131959i
$525$	−30.0670	+	2.63657i	−1.31223	+	0.115069i
$526$	−10.8839	+	6.28381i	−0.474560	+	0.273987i
$527$	−9.25142	−	11.0254i	−0.402998	−	0.480275i
$528$	−14.6204	−	8.44108i	−0.636270	−	0.367351i
$529$	5.62627	+	9.74498i	0.244620	+	0.423695i
$530$	18.0246	−	11.4854i	0.782938	−	0.498896i
$531$	21.1781	−	25.2391i	0.919051	−	1.09528i
$532$	−2.96417	+	5.13410i	−0.128513	+	0.222591i
$533$	1.70903	+	9.69237i	0.0740262	+	0.419823i
$534$	0.0753515	+	0.427340i	0.00326078	+	0.0184928i
$535$	0.416396	+	9.51526i	0.0180024	+	0.411381i
$536$	1.24320	+	3.41568i	0.0536982	+	0.147535i
$537$	56.5976	−	20.5998i	2.44237	−	0.888949i
$538$	−7.21480	+	6.05394i	−0.311052	+	0.261004i
$539$	−2.62911	−	14.9104i	−0.113244	−	0.642238i
$540$	−12.6966	−	6.60780i	−0.546373	−	0.284354i
$541$	−9.41169	−	5.43384i	−0.404640	−	0.233619i	0.283844	−	0.958870i	$-0.408390\pi$
$541$	−9.41169	−	5.43384i	−0.404640	−	0.233619i	−0.688484	+	0.725251i	$0.741724\pi$
$542$	19.8485	+	16.6549i	0.852567	+	0.715389i
$543$	1.78970	−	4.91715i	0.0768032	−	0.211015i
$544$	3.33990	+	5.78488i	0.143197	+	0.248025i
$545$	−7.35712	−	17.7566i	−0.315144	−	0.760611i
$546$	−28.1407	+	23.6129i	−1.20431	+	1.01054i
$547$	3.77572	+	6.53975i	0.161438	+	0.279619i	0.935385	−	0.353632i	$-0.115053\pi$
$547$	3.77572	+	6.53975i	0.161438	+	0.279619i	−0.773946	+	0.633251i	$0.781720\pi$
$548$	−13.1694	−	2.32213i	−0.562571	−	0.0991964i
$549$			45.7575i			1.95288i
$550$	29.3093	−	2.57012i	1.24975	−	0.109590i
$551$	−5.33627	−	4.47766i	−0.227333	−	0.190755i
$552$	−3.36320	−	9.24032i	−0.143147	−	0.393294i
$553$	−7.54420	−	2.74586i	−0.320812	−	0.116766i
$554$	14.8672			0.631649
$555$	−30.7089	+	24.0773i	−1.30352	+	1.02202i
$556$	4.59402			0.194830
$557$	−28.9406	−	10.5335i	−1.22625	−	0.446319i	−0.353940	−	0.935268i	$-0.615158\pi$
$557$	−28.9406	−	10.5335i	−1.22625	−	0.446319i	−0.872312	+	0.488949i	$0.837380\pi$
$558$	3.85498	+	10.5915i	0.163194	+	0.448373i
$559$	−7.65285	−	6.42150i	−0.323681	−	0.271601i
$560$	−3.17885	−	3.46841i	−0.134331	−	0.146567i
$561$			112.769i			4.76113i
$562$	−7.42315	−	1.30890i	−0.313127	−	0.0552127i
$563$	17.3836	+	30.1092i	0.732630	+	1.26895i	0.955755	+	0.294163i	$0.0950407\pi$
$563$	17.3836	+	30.1092i	0.732630	+	1.26895i	−0.223125	+	0.974790i	$0.571626\pi$
$564$	21.9637	−	18.4297i	0.924837	−	0.776031i
$565$	8.94238	−	3.70510i	0.376209	−	0.155875i
$566$	−0.0630597	−	0.109223i	−0.00265060	−	0.00459097i
$567$	−1.92223	+	5.28128i	−0.0807259	+	0.221793i
$568$	6.37743	+	5.35130i	0.267591	+	0.224535i
$569$	19.5332	+	11.2775i	0.818873	+	0.472776i	0.850028	−	0.526738i	$-0.176585\pi$
$569$	19.5332	+	11.2775i	0.818873	+	0.472776i	−0.0311548	+	0.999515i	$0.509918\pi$
$570$	8.34479	−	16.0341i	0.349525	−	0.671594i
$571$	3.81171	+	21.6173i	0.159515	+	0.904655i	0.954541	+	0.298080i	$0.0963461\pi$
$571$	3.81171	+	21.6173i	0.159515	+	0.904655i	−0.795026	+	0.606575i	$0.792543\pi$
$572$	27.4315	−	23.0178i	1.14697	−	0.962423i
$573$	−3.83957	+	1.39749i	−0.160400	+	0.0583810i
$574$	1.16382	+	3.19758i	0.0485771	+	0.133464i
$575$	14.0400	+	9.82674i	0.585509	+	0.409803i
$576$	−0.908372	−	5.15163i	−0.0378488	−	0.214651i
$577$	−1.21153	−	6.87094i	−0.0504368	−	0.286041i	0.949149	−	0.314828i	$-0.101947\pi$
$577$	−1.21153	−	6.87094i	−0.0504368	−	0.286041i	−0.999586	+	0.0287867i	$0.990836\pi$
$578$	13.8099	−	23.9194i	0.574416	−	0.994917i
$579$	1.23598	−	1.47298i	0.0513655	−	0.0612150i
$580$	4.66220	−	2.97081i	0.193588	−	0.123356i
$581$	0.120079	+	0.207983i	0.00498172	+	0.00862858i
$582$	−44.9941	−	25.9773i	−1.86506	−	1.07680i
$583$	36.1530	+	43.0855i	1.49731	+	1.78442i
$584$	0.769508	−	0.444275i	0.0318425	−	0.0183842i
$585$	52.4768	−	48.0958i	2.16965	−	1.98851i
$586$			16.4608i			0.679990i
$587$	−4.38796	+	24.8854i	−0.181110	+	1.02713i	0.749741	+	0.661731i	$0.230178\pi$
$587$	−4.38796	+	24.8854i	−0.181110	+	1.02713i	−0.930852	+	0.365397i	$0.880933\pi$
$588$	4.74501	−	5.65488i	0.195681	−	0.233203i
$589$	−5.70482	+	2.07639i	−0.235063	+	0.0855560i
$590$	−11.8772	+	7.56825i	−0.488975	+	0.311580i
$591$	−47.9817			−1.97370
$592$	−5.89146	−	1.51350i	−0.242138	−	0.0622043i
$593$			17.2145i			0.706916i	0.935450	+	0.353458i	$0.114994\pi$
$593$			17.2145i			0.706916i	−0.935450	+	0.353458i	$0.885006\pi$
$594$	12.8825	−	35.3943i	0.528575	−	1.45225i
$595$	−9.44730	+	29.9734i	−0.387302	+	1.22879i
$596$	2.52144	+	2.11574i	0.103282	+	0.0866640i
$597$	9.57461	−	54.3003i	0.391863	−	2.22236i
$598$	20.8579			0.852941
$599$	2.51307	−	14.2523i	0.102681	−	0.582335i	−0.889440	−	0.457052i	$-0.848905\pi$
$599$	2.51307	−	14.2523i	0.102681	−	0.582335i	0.992121	−	0.125282i	$-0.0399837\pi$
$600$	10.1454	+	10.1414i	0.414186	+	0.414020i
$601$	31.4944	−	26.4269i	1.28468	−	1.07798i	0.292102	−	0.956387i	$-0.405645\pi$
$601$	31.4944	−	26.4269i	1.28468	−	1.07798i	0.992580	−	0.121590i	$-0.0387992\pi$
$602$	−2.99128	−	1.72701i	−0.121915	−	0.0703879i
$603$	−16.4670	+	9.50724i	−0.670589	+	0.387165i
$604$	−7.42778	−	2.70349i	−0.302232	−	0.110004i
$605$	11.4393	+	51.5751i	0.465074	+	2.09683i
$606$	−28.2426	−	16.3059i	−1.14728	−	0.662382i
$607$	4.20024	+	23.8207i	0.170482	+	0.966853i	0.943230	+	0.332140i	$0.107771\pi$
$607$	4.20024	+	23.8207i	0.170482	+	0.966853i	−0.772748	+	0.634713i	$0.781118\pi$
$608$	2.77479	−	0.489271i	0.112533	−	0.0198425i
$609$	−9.59303	−	11.4325i	−0.388729	−	0.463270i
$610$	5.87974	−	18.6546i	0.238064	−	0.755304i
$611$	20.8004	+	57.1486i	0.841493	+	2.31198i
$612$	−26.7677	+	22.4608i	−1.08202	+	0.907923i
$613$	2.25639	−	0.397863i	0.0911348	−	0.0160695i	−0.127895	−	0.991788i	$-0.540822\pi$
$613$	2.25639	−	0.397863i	0.0911348	−	0.0160695i	0.219030	+	0.975718i	$0.429711\pi$
$614$	13.3044	−	2.34592i	0.536920	−	0.0946735i
$615$	−3.97136	−	9.58501i	−0.160141	−	0.386505i
$616$	7.95831	−	9.48434i	0.320649	−	0.382135i
$617$	−2.27649	+	6.25459i	−0.0916479	+	0.251800i	−0.977044	−	0.213036i	$-0.931665\pi$
$617$	−2.27649	+	6.25459i	−0.0916479	+	0.251800i	0.885396	+	0.464837i	$0.153887\pi$
$618$	−7.30784	+	4.21918i	−0.293964	+	0.169720i
$619$	15.7360	−	27.2556i	0.632484	−	1.09550i	−0.354558	−	0.935034i	$-0.615369\pi$
$619$	15.7360	−	27.2556i	0.632484	−	1.09550i	0.987042	−	0.160461i	$-0.0512981\pi$
$620$	−0.210636	−	4.81334i	−0.00845935	−	0.193309i
$621$	18.9999	−	10.9696i	0.762441	−	0.440195i
$622$	6.31037	+	1.11269i	0.253023	+	0.0446148i
$623$	−0.318234			−0.0127498
$624$	17.1940	+	3.03177i	0.688313	+	0.121368i
$625$	−24.6219	−	4.33138i	−0.984877	−	0.173255i
$626$	8.96579	−	3.26328i	0.358345	−	0.130427i
$627$	44.6985	+	16.2689i	1.78508	+	0.649718i
$628$		−	9.45340i		−	0.377232i
$629$	10.9215	+	39.1363i	0.435469	+	1.56047i
$630$	14.9804	−	19.5269i	0.596834	−	0.777970i
$631$	−7.25105	+	19.9221i	−0.288660	+	0.793086i	0.707595	+	0.706618i	$0.249780\pi$
$631$	−7.25105	+	19.9221i	−0.288660	+	0.793086i	−0.996255	+	0.0864679i	$0.972442\pi$
$632$	1.30504	+	3.58557i	0.0519118	+	0.142626i
$633$	26.5555	−	31.6476i	1.05549	−	1.25788i
$634$	25.1746	+	4.43895i	0.999809	+	0.176293i
$635$	−29.8400	+	38.8963i	−1.18417	+	1.54355i
$636$	−4.76187	+	27.0059i	−0.188821	+	1.07085i
$637$	7.82903	+	13.5603i	0.310197	+	0.537278i
$638$	9.35128	+	11.1444i	0.370221	+	0.441212i
$639$	−21.7748	+	37.7151i	−0.861399	+	1.49199i
$640$	−0.291644	+	2.21697i	−0.0115283	+	0.0876333i
$641$	17.2568	+	6.28097i	0.681603	+	0.248083i	0.659536	−	0.751673i	$-0.270753\pi$
$641$	17.2568	+	6.28097i	0.681603	+	0.248083i	0.0220675	+	0.999756i	$0.492975\pi$
$642$	−9.36126	−	7.85503i	−0.369460	−	0.310013i
$643$	22.8453	−	39.5692i	0.900931	−	1.56046i	0.0746421	−	0.997210i	$-0.476219\pi$
$643$	22.8453	−	39.5692i	0.900931	−	1.56046i	0.826288	−	0.563247i	$-0.190448\pi$
$644$	7.10196	−	1.25227i	0.279856	−	0.0493462i
$645$	9.34194	+	4.86192i	0.367838	+	0.191438i
$646$	−12.0979	−	14.4177i	−0.475986	−	0.567258i
$647$	−20.4189	+	7.43188i	−0.802751	+	0.292177i	−0.710626	−	0.703570i	$-0.751588\pi$
$647$	−20.4189	+	7.43188i	−0.802751	+	0.292177i	−0.0921249	+	0.995747i	$0.529366\pi$
$648$	2.51006	−	0.913587i	0.0986045	−	0.0358891i
$649$	−23.8228	−	28.3909i	−0.935125	−	1.11444i
$650$	−27.5742	+	12.8648i	−1.08155	+	0.504597i
$651$	−12.8089	+	2.25856i	−0.502021	+	0.0885199i
$652$	−11.3849	+	19.7191i	−0.445865	+	0.772261i
$653$	−25.3325	−	21.2565i	−0.991336	−	0.831830i	−0.00557554	−	0.999984i	$-0.501775\pi$
$653$	−25.3325	−	21.2565i	−0.991336	−	0.831830i	−0.985761	+	0.168155i	$0.946219\pi$
$654$	23.1736	+	8.43450i	0.906159	+	0.329815i
$655$	−6.69674	−	0.880964i	−0.261663	−	0.0344221i
$656$	0.808632	−	1.40059i	0.0315718	−	0.0546839i
$657$	2.98774	+	3.56065i	0.116563	+	0.138914i
$658$	10.5135	+	18.2099i	0.409858	+	0.709895i
$659$	3.79657	−	21.5314i	0.147893	−	0.838745i	−0.817105	−	0.576489i	$-0.804422\pi$
$659$	3.79657	−	21.5314i	0.147893	−	0.838745i	0.964998	−	0.262256i	$-0.0844665\pi$
$660$	−22.9775	+	29.9511i	−0.894399	+	1.16584i
$661$	16.0545	+	2.83084i	0.624447	+	0.110107i	0.476913	−	0.878950i	$-0.341756\pi$
$661$	16.0545	+	2.83084i	0.624447	+	0.110107i	0.147533	+	0.989057i	$0.452867\pi$
$662$	7.63345	−	9.09719i	0.296682	−	0.353572i
$663$	−39.8880	−	109.591i	−1.54912	−	4.25618i
$664$	0.0390386	−	0.107258i	0.00151499	−	0.00416240i
$665$	10.5176	+	8.06881i	0.407857	+	0.312895i
$666$	2.44534	−	31.7255i	0.0947550	−	1.22934i
$667$			8.47377i			0.328106i
$668$	10.3496	+	3.76694i	0.400437	+	0.145747i
$669$	31.8796	−	11.6032i	1.23254	−	0.448607i
$670$	7.93501	−	1.75998i	0.306556	−	0.0679940i
$671$	50.6896	+	8.93794i	1.95685	+	0.345046i
$672$	6.03648			0.232862
$673$	−10.1539	−	1.79041i	−0.391405	−	0.0690153i	−0.0255176	−	0.999674i	$-0.508123\pi$
$673$	−10.1539	−	1.79041i	−0.391405	−	0.0690153i	−0.365887	+	0.930659i	$0.619234\pi$
$674$	22.5699	−	13.0308i	0.869362	−	0.501926i
$675$	−18.3521	+	26.2207i	−0.706374	+	1.00924i
$676$	−12.0168	+	20.8137i	−0.462183	+	0.800525i
$677$	−4.68137	+	2.70279i	−0.179920	+	0.103877i	−0.587255	−	0.809402i	$-0.699791\pi$
$677$	−4.68137	+	2.70279i	−0.179920	+	0.103877i	0.407335	+	0.913279i	$0.366458\pi$
$678$	−4.24768	+	11.6704i	−0.163131	+	0.448199i
$679$	24.4916	−	29.1880i	0.939902	−	1.12013i
$680$	13.7990	−	5.71733i	0.529166	−	0.219249i
$681$	−42.2270	+	7.44576i	−1.61814	+	0.285322i
$682$	12.4861	−	2.20164i	0.478118	−	0.0843051i
$683$	26.7395	−	22.4371i	1.02316	−	0.858533i	0.0331383	−	0.999451i	$-0.489450\pi$
$683$	26.7395	−	22.4371i	1.02316	−	0.858533i	0.990021	+	0.140918i	$0.0450054\pi$
$684$	5.04109	+	13.8503i	0.192751	+	0.529578i
$685$	−8.98888	+	28.5190i	−0.343447	+	1.08965i
$686$	12.9470	+	15.4297i	0.494320	+	0.589108i
$687$	−27.8925	+	4.91820i	−1.06417	+	0.187641i
$688$	0.285064	+	1.61668i	0.0108679	+	0.0616352i
$689$	−50.3740	−	29.0835i	−1.91910	−	1.10799i
$690$	−21.4663	+	4.76122i	−0.817210	+	0.181257i
$691$	−37.4128	−	13.6171i	−1.42325	−	0.518020i	−0.488261	−	0.872698i	$-0.662368\pi$
$691$	−37.4128	−	13.6171i	−1.42325	−	0.518020i	−0.934989	+	0.354677i	$0.884591\pi$
$692$	8.45359	−	4.88068i	0.321357	−	0.185536i
$693$	56.0890	+	32.3830i	2.13064	+	1.23013i
$694$	0.452351	−	0.379567i	0.0171710	−	0.0144082i
$695$	1.33982	−	10.1848i	0.0508222	−	0.386331i
$696$	−1.23170	+	6.98530i	−0.0466874	+	0.264777i
$697$	−10.8030			−0.409193
$698$	−1.07927	+	6.12084i	−0.0408509	+	0.231677i
$699$	1.58806	+	1.33254i	0.0600659	+	0.0504013i
$700$	−8.61645	+	6.03587i	−0.325671	+	0.228134i
$701$	8.90067	−	24.4544i	0.336174	−	0.923630i	−0.650295	−	0.759682i	$-0.725355\pi$
$701$	8.90067	−	24.4544i	0.336174	−	0.923630i	0.986469	−	0.163948i	$-0.0524229\pi$
$702$			38.9535i			1.47021i
$703$	17.0881	+	1.31712i	0.644490	+	0.0496760i
$704$	−5.88435			−0.221775
$705$	−34.4525	−	54.0677i	−1.29756	−	2.03631i
$706$	27.5498	−	10.0273i	1.03685	−	0.377383i
$707$	15.3733	−	18.3212i	0.578173	−	0.689040i
$708$	3.13780	−	17.7953i	0.117926	−	0.668790i
$709$		−	30.5640i		−	1.14785i	−0.818906	−	0.573927i	$-0.805419\pi$
$709$		−	30.5640i		−	1.14785i	0.818906	−	0.573927i	$-0.194581\pi$
$710$	13.7236	−	12.5779i	0.515037	−	0.472039i
$711$	−17.2861	+	9.98013i	−0.648279	+	0.374284i
$712$	0.0972210	+	0.115863i	0.00364351	+	0.00434217i
$713$	6.39558	+	3.69249i	0.239516	+	0.138285i
$714$	−20.1612	−	34.9203i	−0.754516	−	1.30686i
$715$	−43.0295	−	67.5279i	−1.60921	−	2.52540i
$716$	13.4943	−	16.0819i	0.504306	−	0.601009i
$717$	2.69704	−	4.67141i	0.100723	−	0.174457i
$718$	1.90675	+	10.8137i	0.0711592	+	0.403564i
$719$	8.40136	+	47.6465i	0.313318	+	1.77691i	0.581500	+	0.813546i	$0.302466\pi$
$719$	8.40136	+	47.6465i	0.313318	+	1.77691i	−0.268183	+	0.963368i	$0.586423\pi$
$720$	−11.6859	+	0.511386i	−0.435509	+	0.0190582i
$721$	−2.11658	−	5.81527i	−0.0788257	−	0.216572i
$722$	10.3941	−	3.78313i	0.386827	−	0.140794i
$723$	−42.7385	+	35.8618i	−1.58946	+	1.33372i
$724$	−0.316715	−	1.79618i	−0.0117706	−	0.0667545i
$725$	−5.22647	−	11.2024i	−0.194106	−	0.416046i
$726$	−58.7006	−	33.8908i	−2.17858	−	1.25781i
$727$	5.96800	+	5.00775i	0.221341	+	0.185727i	0.746715	−	0.665144i	$-0.231630\pi$
$727$	5.96800	+	5.00775i	0.221341	+	0.185727i	−0.525374	+	0.850872i	$0.676074\pi$
$728$	−4.37929	+	12.0320i	−0.162307	+	0.445936i
$729$	−20.5602	−	35.6113i	−0.761488	−	1.31894i
$730$	−0.760522	−	1.83554i	−0.0281482	−	0.0679365i
$731$	8.40019	−	7.04860i	0.310692	−	0.260702i
$732$	12.5478	+	21.7334i	0.463780	+	0.803291i
$733$	−39.3185	−	6.93291i	−1.45226	−	0.256073i	−0.608826	−	0.793303i	$-0.708359\pi$
$733$	−39.3185	−	6.93291i	−1.45226	−	0.256073i	−0.843435	+	0.537231i	$0.819471\pi$
$734$			7.45272i			0.275085i
$735$	−11.1528	−	12.1687i	−0.411378	−	0.448851i
$736$	−2.62558	−	2.20313i	−0.0967803	−	0.0812083i
$737$	7.31545	+	20.0990i	0.269468	+	0.740358i
$738$	7.94988	+	2.89352i	0.292639	+	0.106512i
$739$	31.9702			1.17604			0.588022	−	0.808845i	$-0.299907\pi$
$739$	31.9702			1.17604			0.588022	+	0.808845i	$0.299907\pi$
$740$	−5.07358	+	12.6198i	−0.186509	+	0.463912i
$741$	−49.1933			−1.80716
$742$	−18.8981	−	6.87836i	−0.693772	−	0.252512i
$743$	4.09772	+	11.2584i	0.150331	+	0.413030i	0.991884	−	0.127143i	$-0.0405808\pi$
$743$	4.09772	+	11.2584i	0.150331	+	0.413030i	−0.841554	+	0.540174i	$0.818359\pi$
$744$	4.73544	+	3.97351i	0.173610	+	0.145676i
$745$	5.42589	−	4.97290i	0.198789	−	0.182193i
$746$		−	17.3555i		−	0.635432i
$747$	0.588014	+	0.103683i	0.0215143	+	0.00379355i
$748$	19.6532	+	34.0403i	0.718591	+	1.24464i
$749$	6.86531	−	5.76068i	0.250853	−	0.210491i
$750$	25.4420	−	19.5344i	0.929010	−	0.713296i
$751$	−2.01246	−	3.48568i	−0.0734357	−	0.127194i	0.826969	−	0.562247i	$-0.190063\pi$
$751$	−2.01246	−	3.48568i	−0.0734357	−	0.127194i	−0.900405	+	0.435053i	$0.856730\pi$
$752$	3.41801	−	9.39091i	0.124642	−	0.342451i
$753$	−38.2666	−	32.1095i	−1.39451	−	1.17013i
$754$	−13.0297	−	7.52268i	−0.474512	−	0.273960i
$755$	−8.15983	+	15.6787i	−0.296966	+	0.570606i
$756$	2.33870	+	13.2634i	0.0850576	+	0.482386i
$757$	7.30721	−	6.13148i	0.265585	−	0.222852i	−0.500264	−	0.865873i	$-0.666764\pi$
$757$	7.30721	−	6.13148i	0.265585	−	0.222852i	0.765849	+	0.643021i	$0.222319\pi$
$758$	−12.0285	+	4.37801i	−0.436894	+	0.159016i
$759$	−19.7903	−	54.3733i	−0.718341	−	1.97363i
$760$	−0.275445	−	6.29432i	−0.00999143	−	0.228319i
$761$	−9.47330	−	53.7258i	−0.343407	−	1.94756i	−0.318676	−	0.947864i	$-0.603238\pi$
$761$	−9.47330	−	53.7258i	−0.343407	−	1.94756i	−0.0247308	−	0.999694i	$-0.507873\pi$
$762$	−10.9225	−	61.9447i	−0.395681	−	2.24402i
$763$	−9.04280	+	15.6626i	−0.327371	+	0.567024i
$764$	−0.915452	+	1.09099i	−0.0331199	+	0.0394707i
$765$	41.9881	+	65.8937i	1.51808	+	2.38239i
$766$	8.02657	+	13.9024i	0.290012	+	0.502315i
$767$	33.1936	+	19.1643i	1.19855	+	0.691984i
$768$	−1.84415	−	2.19777i	−0.0665451	−	0.0793053i
$769$	−16.8451	+	9.72555i	−0.607452	+	0.350712i	−0.771967	−	0.635662i	$-0.780727\pi$
$769$	−16.8451	+	9.72555i	−0.607452	+	0.350712i	0.164516	+	0.986374i	$0.447394\pi$
$770$	−18.7055	−	20.4094i	−0.674099	−	0.735503i
$771$		−	68.9715i		−	2.48395i
$772$	0.116382	−	0.660033i	0.00418866	−	0.0237551i
$773$	20.4112	−	24.3251i	0.734140	−	0.874914i	−0.261782	−	0.965127i	$-0.584310\pi$
$773$	20.4112	−	24.3251i	0.734140	−	0.874914i	0.995923	+	0.0902128i	$0.0287547\pi$
$774$	−8.06958	+	2.93709i	−0.290055	+	0.105571i
$775$	−10.7325	−	0.936811i	−0.385521	−	0.0336512i
$776$	−18.1090			−0.650077
$777$	35.5637	+	9.13619i	1.27584	+	0.327759i
$778$		−	24.7344i		−	0.886773i
$779$	−1.55852	+	4.28199i	−0.0558397	+	0.153418i
$780$	11.7359	−	37.2344i	0.420212	−	1.33321i
$781$	37.5270	+	31.4889i	1.34282	+	1.12676i
$782$	−3.97563	+	22.5469i	−0.142168	+	0.806276i
$783$	−15.8254			−0.565553
$784$	0.446797	−	2.53391i	0.0159570	−	0.0904969i
$785$	−20.9579	−	2.75703i	−0.748018	−	0.0984026i
$786$	6.63877	−	5.57059i	0.236797	−	0.198696i
$787$	−10.4776	−	6.04924i	−0.373486	−	0.215632i	0.301494	−	0.953468i	$-0.402515\pi$
$787$	−10.4776	−	6.04924i	−0.373486	−	0.215632i	−0.674980	+	0.737836i	$0.735848\pi$
$788$	−14.4836	+	8.36212i	−0.515958	+	0.297888i
$789$	−33.8819	−	12.3320i	−1.20623	−	0.439031i
$790$	8.32970	−	1.84752i	0.296358	−	0.0657319i
$791$	−7.88780	−	4.55402i	−0.280458	−	0.161922i
$792$	−5.34518	−	30.3140i	−0.189933	−	1.07716i
$793$	−52.4225	+	9.24350i	−1.86158	+	0.328246i
$794$	8.33042	+	9.92780i	0.295635	+	0.352325i
$795$	58.4825	+	18.4330i	2.07416	+	0.653753i
$796$	−6.57315	−	18.0596i	−0.232979	−	0.640105i
$797$	27.3961	−	22.9880i	0.970419	−	0.814278i	−0.0121975	−	0.999926i	$-0.503883\pi$
$797$	27.3961	−	22.9880i	0.970419	−	0.814278i	0.982616	+	0.185647i	$0.0594382\pi$
$798$	−16.7500	+	2.95347i	−0.592943	+	0.104552i
$799$	−65.7411	+	11.5919i	−2.32575	+	0.410093i
$800$	4.82989	+	1.29313i	0.170762	+	0.0457191i
$801$	−0.508573	+	0.606094i	−0.0179696	+	0.0214153i
$802$	−2.16202	+	5.94009i	−0.0763434	+	0.209752i
$803$	4.52805	−	2.61427i	0.159792	−	0.0922557i
$804$	−5.21423	+	9.03130i	−0.183892	+	0.318510i
$805$	−0.704989	−	16.1100i	−0.0248476	−	0.567804i
$806$	−11.3555	+	6.55609i	−0.399980	+	0.230928i
$807$	−26.6104	−	4.69213i	−0.936729	−	0.165171i
$808$	−11.3670			−0.399890
$809$	−2.06711	−	0.364486i	−0.0726756	−	0.0128147i	0.137192	−	0.990544i	$-0.456192\pi$
$809$	−2.06711	−	0.364486i	−0.0726756	−	0.0128147i	−0.209868	+	0.977730i	$0.567303\pi$
$810$	−1.29335	−	5.83116i	−0.0454436	−	0.204886i
$811$	−5.47441	+	1.99252i	−0.192232	+	0.0699669i	−0.436343	−	0.899781i	$-0.643726\pi$
$811$	−5.47441	+	1.99252i	−0.192232	+	0.0699669i	0.244110	+	0.969748i	$0.421504\pi$
$812$	−4.88816	−	1.77914i	−0.171541	−	0.0624357i
$813$			74.3367i			2.60710i
$814$	−34.6674	−	8.90595i	−1.21509	−	0.312153i
$815$	40.3964	+	30.9908i	1.41502	+	1.08556i
$816$	−6.55457	+	18.0085i	−0.229456	+	0.630425i
$817$	−1.58198	−	4.34646i	−0.0553466	−	0.152064i
$818$	−12.6552	+	15.0819i	−0.442480	+	0.527327i
$819$	−65.9625	−	11.6310i	−2.30492	−	0.406419i
$820$	−2.86923	−	2.20119i	−0.100198	−	0.0768687i
$821$	0.984391	−	5.58276i	0.0343555	−	0.194840i	−0.962800	−	0.270216i	$-0.912905\pi$
$821$	0.984391	−	5.58276i	0.0343555	−	0.194840i	0.997155	+	0.0753767i	$0.0240159\pi$
$822$	−19.1829	−	33.2258i	−0.669082	−	1.15888i
$823$	16.6196	+	19.8065i	0.579323	+	0.690410i	0.973516	−	0.228617i	$-0.0734205\pi$
$823$	16.6196	+	19.8065i	0.579323	+	0.690410i	−0.394194	+	0.919027i	$0.628976\pi$
$824$	−1.47062	+	2.54718i	−0.0512313	+	0.0887353i
$825$	59.6993	+	59.6755i	2.07846	+	2.07763i
$826$	12.4528	+	4.53244i	0.433288	+	0.157704i
$827$	−3.58350	−	3.00691i	−0.124610	−	0.104561i	0.578353	−	0.815787i	$-0.303696\pi$
$827$	−3.58350	−	3.00691i	−0.124610	−	0.104561i	−0.702963	+	0.711226i	$0.748140\pi$
$828$	8.96469	−	15.5273i	0.311545	−	0.539611i
$829$	−50.8001	+	8.95743i	−1.76436	+	0.311104i	−0.959363	−	0.282174i	$-0.908945\pi$
$829$	−50.8001	+	8.95743i	−1.76436	+	0.311104i	−0.804997	+	0.593278i	$0.797833\pi$
$830$	−0.226401	−	0.117828i	−0.00785850	−	0.00408988i
$831$	27.4175	+	32.6749i	0.951101	+	1.13348i
$832$	5.71852	−	2.08137i	0.198254	−	0.0721585i
$833$	−16.1506	+	5.87835i	−0.559587	+	0.203673i
$834$	8.47206	+	10.0966i	0.293364	+	0.349617i
$835$	11.3696	−	21.8461i	0.393460	−	0.756014i
$836$	16.3279	−	2.87904i	0.564711	−	0.0995737i
$837$	−6.89599	+	11.9442i	−0.238360	+	0.412852i
$838$	−10.2321	−	8.58572i	−0.353461	−	0.296589i
$839$	48.3073	+	17.5824i	1.66775	+	0.607013i	0.991553	−	0.129703i	$-0.0414024\pi$
$839$	48.3073	+	17.5824i	1.66775	+	0.607013i	0.676202	+	0.736716i	$0.263625\pi$
$840$	1.76050	−	13.3827i	0.0607432	−	0.461746i
$841$	−11.4438	+	19.8213i	−0.394614	+	0.683492i
$842$	18.3157	+	21.8277i	0.631199	+	0.752234i
$843$	−10.8127	−	18.7282i	−0.372411	−	0.645034i
$844$	2.50051	−	14.1811i	0.0860710	−	0.488133i
$845$	42.6386	+	32.7110i	1.46681	+	1.12529i
$846$	51.4834	+	9.07790i	1.77003	+	0.312105i
$847$	31.9525	−	38.0795i	1.09790	−	1.30843i
$848$	3.26911	+	8.98182i	0.112262	+	0.308437i
$849$	0.123755	−	0.340014i	0.00424726	−	0.0116692i
$850$	−8.65074	−	32.2593i	−0.296718	−	1.10648i
$851$	−12.1341	−	16.9535i	−0.415952	−	0.581157i
$852$			23.8847i			0.818278i
$853$	−46.9636	−	17.0933i	−1.60800	−	0.585265i	−0.626959	−	0.779053i	$-0.715700\pi$
$853$	−46.9636	−	17.0933i	−1.60800	−	0.585265i	−0.981043	+	0.193788i	$0.937923\pi$
$854$	−17.2945	+	6.29470i	−0.591807	+	0.215400i
$855$	32.1758	−	7.13657i	1.10039	−	0.244066i
$856$	−4.19472	−	0.739642i	−0.143373	−	0.0252804i
$857$	43.7989			1.49614			0.748071	−	0.663619i	$-0.230980\pi$
$857$	43.7989			1.49614			0.748071	+	0.663619i	$0.230980\pi$
$858$	101.176	+	17.8400i	3.45409	+	0.609049i
$859$	−35.4140	+	20.4463i	−1.20831	+	0.697617i	−0.962390	−	0.271673i	$-0.912423\pi$
$859$	−35.4140	+	20.4463i	−1.20831	+	0.697617i	−0.245919	+	0.969290i	$0.579090\pi$
$860$	3.66725	−	0.160482i	0.125052	−	0.00547240i
$861$	−4.88129	+	8.45465i	−0.166354	+	0.288134i
$862$	12.3979	−	7.15792i	0.422274	−	0.243800i
$863$	15.7049	−	43.1488i	0.534601	−	1.46880i	−0.318939	−	0.947775i	$-0.603326\pi$
$863$	15.7049	−	43.1488i	0.534601	−	1.46880i	0.853539	−	0.521028i	$-0.174451\pi$
$864$	4.11450	−	4.90347i	0.139978	−	0.166819i
$865$	−8.35487	−	20.1648i	−0.284074	−	0.685622i
$866$	21.4280	−	3.77834i	0.728155	−	0.128393i
$867$	78.0370	−	13.7600i	2.65028	−	0.467315i
$868$	−3.47285	+	2.91407i	−0.117876	+	0.0989098i
$869$	7.67933	+	21.0988i	0.260503	+	0.715727i
$870$	15.1270	+	4.76786i	0.512852	+	0.161645i
$871$	−14.2186	−	16.9450i	−0.481778	−	0.574160i
$872$	8.46506	−	1.49262i	0.286663	−	0.0505464i
$873$	−16.4497	−	93.2912i	−0.556740	−	3.15743i
$874$	8.36338	+	4.82860i	0.282895	+	0.163330i
$875$	10.8684	+	20.8627i	0.367418	+	0.705289i
$876$	2.39551	+	0.871893i	0.0809366	+	0.0294585i
$877$	−40.5136	+	23.3905i	−1.36805	+	0.789842i	−0.990679	−	0.136221i	$-0.956504\pi$
$877$	−40.5136	+	23.3905i	−1.36805	+	0.789842i	−0.377369	+	0.926063i	$0.623171\pi$
$878$	2.71833	+	1.56943i	0.0917392	+	0.0529657i
$879$	−36.1772	+	30.3563i	−1.22023	+	1.02389i
$880$	−1.71614	+	13.0454i	−0.0578510	+	0.439761i
$881$	−4.58962	+	26.0290i	−0.154628	+	0.876940i	0.804497	+	0.593957i	$0.202435\pi$
$881$	−4.58962	+	26.0290i	−0.154628	+	0.876940i	−0.959125	+	0.282983i	$0.908676\pi$
$882$	13.4597			0.453210
$883$	4.83462	−	27.4185i	0.162698	−	0.922705i	−0.788709	−	0.614767i	$-0.789250\pi$
$883$	4.83462	−	27.4185i	0.162698	−	0.922705i	0.951406	−	0.307938i	$-0.0996389\pi$
$884$	−31.1398	−	26.1294i	−1.04734	−	0.878826i
$885$	−38.5366	−	12.1463i	−1.29539	−	0.408294i
$886$	−5.79303	+	15.9162i	−0.194621	+	0.534716i
$887$			46.9612i			1.57680i	0.615162	+	0.788401i	$0.289091\pi$
$887$			46.9612i			1.57680i	−0.615162	+	0.788401i	$0.710909\pi$
$888$	−7.53843	−	15.7392i	−0.252973	−	0.528174i
$889$	46.1294			1.54713
$890$	0.285219	−	0.181745i	0.00956058	−	0.00609210i
$891$	14.7701	−	5.37587i	0.494816	−	0.180098i
$892$	7.60091	−	9.05841i	0.254497	−	0.303298i
$893$	−4.88957	+	27.7302i	−0.163623	+	0.927954i
$894$			9.44330i			0.315831i
$895$	−31.7175	−	34.6066i	−1.06020	−	1.15677i
$896$	1.82215	−	1.05202i	0.0608739	−	0.0351456i
$897$	38.4650	+	45.8409i	1.28431	+	1.53058i
$898$	16.9074	+	9.76152i	0.564209	+	0.325746i
$899$	−2.66350	−	4.61331i	−0.0888326	−	0.153863i
$900$	−2.27441	+	26.0565i	−0.0758136	+	0.868548i
$901$	41.0402	−	48.9098i	1.36725	−	1.62942i
$902$	4.75828	−	8.24158i	0.158433	−	0.274415i
$903$	−1.72078	−	9.75903i	−0.0572640	−	0.324760i
$904$	0.751694	+	4.26307i	0.0250010	+	0.141787i
$905$	−4.07444	+	0.178301i	−0.135439	+	0.00592693i
$906$	−7.75629	−	21.3102i	−0.257686	−	0.707985i
$907$	2.41532	−	0.879106i	0.0801995	−	0.0291902i	−0.301609	−	0.953432i	$-0.597524\pi$
$907$	2.41532	−	0.879106i	0.0801995	−	0.0291902i	0.381808	+	0.924242i	$0.375301\pi$
$908$	−11.4489	+	9.60677i	−0.379945	+	0.318812i
$909$	−10.3255	−	58.5586i	−0.342474	−	1.94227i
$910$	25.3974	+	13.2178i	0.841915	+	0.438166i
$911$	−40.9722	−	23.6553i	−1.35747	−	0.783735i	−0.368187	−	0.929752i	$-0.620021\pi$
$911$	−40.9722	−	23.6553i	−1.35747	−	0.783735i	−0.989282	+	0.146017i	$0.953355\pi$
$912$	6.19244	+	5.19608i	0.205052	+	0.172059i
$913$	0.229717	−	0.631142i	0.00760252	−	0.0208877i
$914$	6.46729	+	11.2017i	0.213919	+	0.370518i
$915$	51.8418	−	21.4796i	1.71384	−	0.710095i
$916$	−7.56242	+	6.34562i	−0.249869	+	0.209665i
$917$	3.17782	+	5.50414i	0.104941	+	0.181763i
$918$	−42.1080	−	7.42477i	−1.38977	−	0.245054i
$919$		−	7.81488i		−	0.257789i	−0.991658	−	0.128895i	$-0.958857\pi$
$919$		−	7.81488i		−	0.257789i	0.991658	−	0.128895i	$-0.0411429\pi$
$920$	−5.65000	+	5.17830i	−0.186275	+	0.170724i
$921$	29.6910	+	24.9137i	0.978353	+	0.820936i
$922$	−11.4827	−	31.5484i	−0.378162	−	1.03899i
$923$	−47.6075	−	17.3277i	−1.56702	−	0.570348i
$924$	35.5208			1.16855
$925$	26.4979	+	14.9285i	0.871247	+	0.490845i
$926$	−9.02404			−0.296548
$927$	−14.4580	−	5.26229i	−0.474863	−	0.172836i
$928$	0.845583	+	2.32322i	0.0277576	+	0.0762635i
$929$	12.8683	+	10.7978i	0.422196	+	0.354265i	0.828998	−	0.559252i	$-0.188911\pi$
$929$	12.8683	+	10.7978i	0.422196	+	0.354265i	−0.406802	+	0.913517i	$0.633356\pi$
$930$	10.1902	−	9.33946i	0.334150	−	0.306253i
$931$			7.24969i			0.237599i
$932$	0.711599	+	0.125474i	0.0233092	+	0.00411004i
$933$	9.19185	+	15.9207i	0.300928	+	0.521222i
$934$	0.122853	−	0.103086i	0.00401989	−	0.00337309i
$935$	81.1979	−	33.6428i	2.65546	−	1.10024i
$936$	15.9170	+	27.5690i	0.520263	+	0.901122i
$937$	18.2233	−	50.0680i	0.595328	−	1.63565i	−0.165137	−	0.986271i	$-0.552807\pi$
$937$	18.2233	−	50.0680i	0.595328	−	1.63565i	0.760465	−	0.649379i	$-0.224971\pi$
$938$	−5.85867	−	4.91601i	−0.191292	−	0.160513i
$939$	23.7062	+	13.6868i	0.773624	+	0.446652i
$940$	−19.8225	−	10.3164i	−0.646539	−	0.336485i
$941$	−4.18220	−	23.7185i	−0.136336	−	0.773199i	−0.973920	−	0.226891i	$-0.927144\pi$
$941$	−4.18220	−	23.7185i	−0.136336	−	0.773199i	0.837584	−	0.546308i	$-0.183967\pi$
$942$	20.7764	−	17.4335i	0.676933	−	0.568014i
$943$	5.20881	−	1.89585i	0.169622	−	0.0617375i
$944$	−2.15416	−	5.91850i	−0.0701119	−	0.192631i
$945$	30.0866	−	1.31662i	0.978718	−	0.0428295i
$946$	1.67741	+	9.51309i	0.0545374	+	0.309297i
$947$	4.67975	+	26.5402i	0.152072	+	0.862441i	0.961414	+	0.275104i	$0.0887124\pi$
$947$	4.67975	+	26.5402i	0.152072	+	0.862441i	−0.809343	+	0.587337i	$0.800176\pi$
$948$	−5.47358	+	9.48053i	−0.177774	+	0.307913i
$949$	−3.47574	+	4.14223i	−0.112827	+	0.134462i
$950$	−14.0346	−	1.22505i	−0.455343	−	0.0397459i
$951$	36.6699	+	63.5141i	1.18910	+	2.05959i
$952$	−12.1716	−	7.02730i	−0.394485	−	0.227756i
$953$	25.7257	+	30.6587i	0.833336	+	0.993131i	0.999975	+	0.00711327i	$0.00226424\pi$
$953$	25.7257	+	30.6587i	0.833336	+	0.993131i	−0.166639	+	0.986018i	$0.553291\pi$
$954$	−43.3015	+	25.0001i	−1.40194	+	0.809408i
$955$	2.15171	+	2.34771i	0.0696277	+	0.0759701i
$956$		−	1.88013i		−	0.0608077i
$957$	−7.24774	+	41.1040i	−0.234286	+	1.32870i
$958$	5.41611	−	6.45467i	0.174987	−	0.208541i
$959$	26.4397	−	9.62326i	0.853782	−	0.310751i
$960$	−5.41023	+	3.44745i	−0.174614	+	0.111266i
$961$	26.3575			0.850241
$962$	36.8406	−	3.60736i	1.18779	−	0.116306i
$963$		−	22.2815i		−	0.718012i
$964$	−6.65101	+	18.2735i	−0.214215	+	0.588550i
$965$	−1.42933	−	0.450509i	−0.0460117	−	0.0145024i
$966$	15.8493	+	13.2991i	0.509942	+	0.427892i
$967$	−4.48052	+	25.4103i	−0.144084	+	0.817140i	0.824014	+	0.566569i	$0.191730\pi$
$967$	−4.48052	+	25.4103i	−0.144084	+	0.817140i	−0.968098	+	0.250571i	$0.919382\pi$
$968$	−23.6256			−0.759356
$969$	9.37653	−	53.1769i	0.301217	−	1.70829i
$970$	−5.28140	+	40.1472i	−0.169576	+	1.28905i
$971$	−34.9754	+	29.3479i	−1.12242	+	0.941818i	−0.998724	−	0.0505024i	$-0.983918\pi$
$971$	−34.9754	+	29.3479i	−1.12242	+	0.941818i	−0.123691	+	0.992321i	$0.539473\pi$
$972$	−9.99355	−	5.76978i	−0.320543	−	0.185066i
$973$	−8.37101	+	4.83300i	−0.268362	+	0.154939i
$974$	−7.20254	−	2.62151i	−0.230784	−	0.0839986i
$975$	−79.1248	−	36.8773i	−2.53402	−	1.18102i
$976$	7.57529	+	4.37360i	0.242479	+	0.139995i
$977$	−8.67570	−	49.2023i	−0.277560	−	1.57412i	−0.730710	−	0.682687i	$-0.760811\pi$
$977$	−8.67570	−	49.2023i	−0.277560	−	1.57412i	0.453150	−	0.891434i	$-0.350300\pi$
$978$	−64.3336	+	11.3438i	−2.05716	+	0.362733i
$979$	0.572083	+	0.681782i	0.0182838	+	0.0217898i
$980$	−5.48730	−	1.72954i	−0.175285	−	0.0552480i
$981$	15.3788	+	42.2530i	0.491009	+	1.34904i
$982$	15.0441	−	12.6235i	0.480076	−	0.402832i
$983$	6.00341	−	1.05856i	0.191479	−	0.0337629i	−0.0770861	−	0.997024i	$-0.524562\pi$
$983$	6.00341	−	1.05856i	0.191479	−	0.0337629i	0.268565	+	0.963262i	$0.413451\pi$
$984$	4.56943	−	0.805713i	0.145668	−	0.0256852i
$985$	14.3145	+	34.5485i	0.456097	+	1.10081i
$986$	10.6154	−	12.6509i	0.338063	−	0.402888i
$987$	−20.6328	+	56.6880i	−0.656748	+	1.80440i
$988$	−14.8493	+	8.57327i	−0.472421	+	0.272752i
$989$	−2.81328	+	4.87275i	−0.0894572	+	0.154944i
$990$	−68.7641	+	3.00918i	−2.18547	+	0.0956379i
$991$	−32.2883	+	18.6416i	−1.02567	+	0.592171i	−0.915741	−	0.401768i	$-0.868396\pi$
$991$	−32.2883	+	18.6416i	−1.02567	+	0.592171i	−0.109929	+	0.993939i	$0.535062\pi$
$992$	2.12192	+	0.374152i	0.0673710	+	0.0118793i
$993$	34.0708			1.08120
$994$	−17.2503	−	3.04170i	−0.547147	−	0.0964769i
$995$	−41.9545	+	9.30549i	−1.33005	+	0.295004i
$996$	0.307721	−	0.112001i	0.00975052	−	0.00354890i
$997$	17.8082	+	6.48164i	0.563990	+	0.205276i	0.608252	−	0.793744i	$-0.291871\pi$
$997$	17.8082	+	6.48164i	0.563990	+	0.205276i	−0.0442612	+	0.999020i	$0.514093\pi$
$998$			34.4533i			1.09060i
$999$	31.6618	−	22.6613i	1.00173	−	0.716972i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.v.a.169.2	✓	60	5.4	even	2
370.2.v.a.289.2	yes	60	37.30	even	18
370.2.v.b.169.9	yes	60	1.1	even	1	trivial
370.2.v.b.289.9	yes	60	185.104	even	18	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(0.939693 + 0.342020i) q^{2} +(0.981253 + 2.69597i) q^{3} +(0.766044 + 0.642788i) q^{4} +(1.64845 - 1.51083i) q^{5} +2.86899i q^{6} +(-2.07208 - 0.365363i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-4.00726 + 3.36249i) q^{9} +O(q^{10})\)	\(q+(0.939693 + 0.342020i) q^{2} +(0.981253 + 2.69597i) q^{3} +(0.766044 + 0.642788i) q^{4} +(1.64845 - 1.51083i) q^{5} +2.86899i q^{6} +(-2.07208 - 0.365363i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-4.00726 + 3.36249i) q^{9} +(2.06577 - 0.855912i) q^{10} +(2.94218 + 5.09600i) q^{11} +(-0.981253 + 2.69597i) q^{12} +(-4.66178 - 3.91170i) q^{13} +(-1.82215 - 1.05202i) q^{14} +(5.69070 + 2.96167i) q^{15} +(0.173648 + 0.984808i) q^{16} +(5.11703 - 4.29370i) q^{17} +(-4.91563 + 1.78914i) q^{18} +(-0.963675 - 2.64768i) q^{19} +(2.23393 - 0.0977587i) q^{20} +(-1.04822 - 5.94477i) q^{21} +(1.02181 + 5.79496i) q^{22} +(-1.71373 + 2.96826i) q^{23} +(-1.84415 + 2.19777i) q^{24} +(0.434785 - 4.98106i) q^{25} +(-3.04276 - 5.27021i) q^{26} +(-5.54345 - 3.20051i) q^{27} +(-1.35245 - 1.61179i) q^{28} +(2.14109 - 1.23616i) q^{29} +(4.33456 + 4.72939i) q^{30} -2.15465i q^{31} +(-0.173648 + 0.984808i) q^{32} +(-10.8516 + 12.9325i) q^{33} +(6.27696 - 2.28463i) q^{34} +(-3.96772 + 2.52827i) q^{35} -5.23111 q^{36} +(-2.51354 + 5.53914i) q^{37} -2.81760i q^{38} +(5.97143 - 16.4064i) q^{39} +(2.13264 + 0.672186i) q^{40} +(-1.23890 - 1.03956i) q^{41} +(1.04822 - 5.94477i) q^{42} +1.64162 q^{43} +(-1.02181 + 5.79496i) q^{44} +(-1.52562 + 11.5972i) q^{45} +(-2.62558 + 2.20313i) q^{46} +(-8.65471 - 4.99680i) q^{47} +(-2.48462 + 1.43450i) q^{48} +(-2.41783 - 0.880019i) q^{49} +(2.11219 - 4.53196i) q^{50} +(16.5968 + 9.58215i) q^{51} +(-1.05674 - 5.99307i) q^{52} +(9.41304 - 1.65977i) q^{53} +(-4.11450 - 4.90347i) q^{54} +(12.5492 + 3.95538i) q^{55} +(-0.719625 - 1.97715i) q^{56} +(6.19244 - 5.19608i) q^{57} +(2.43476 - 0.429314i) q^{58} +(-6.20265 + 1.09369i) q^{59} +(2.45560 + 5.92668i) q^{60} +(5.62259 - 6.70074i) q^{61} +(0.736935 - 2.02471i) q^{62} +(9.53188 - 5.50324i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-13.5946 + 0.594912i) q^{65} +(-14.6204 + 8.44108i) q^{66} +(3.57966 + 0.631191i) q^{67} +6.67980 q^{68} +(-9.68395 - 1.70754i) q^{69} +(-4.59316 + 1.01876i) q^{70} +(7.82307 - 2.84737i) q^{71} +(-4.91563 - 1.78914i) q^{72} -0.888551i q^{73} +(-4.25646 + 4.34541i) q^{74} +(13.8554 - 3.71551i) q^{75} +(0.963675 - 2.64768i) q^{76} +(-4.23453 - 11.6343i) q^{77} +(11.2226 - 13.3746i) q^{78} +(3.75772 + 0.662587i) q^{79} +(1.77413 + 1.36106i) q^{80} +(0.463840 - 2.63057i) q^{81} +(-0.808632 - 1.40059i) q^{82} +(-0.0733685 - 0.0874372i) q^{83} +(3.01824 - 5.22774i) q^{84} +(1.94813 - 14.8089i) q^{85} +(1.54261 + 0.561466i) q^{86} +(5.43360 + 4.55933i) q^{87} +(-2.94218 + 5.09600i) q^{88} +(0.148951 - 0.0262641i) q^{89} +(-5.40009 + 10.3760i) q^{90} +(8.23038 + 9.80858i) q^{91} +(-3.22076 + 1.17226i) q^{92} +(5.80888 - 2.11426i) q^{93} +(-6.42376 - 7.65554i) q^{94} +(-5.58876 - 2.90862i) q^{95} +(-2.82540 + 0.498195i) q^{96} +(-9.05452 + 15.6829i) q^{97} +(-1.97103 - 1.65389i) q^{98} +(-28.9253 - 10.5280i) 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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