LMFDB - Embedded newform 370.2.v.b.289.9

Newspace parameters

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

Newform invariants

Self dual:	no
Analytic conductor:	$2.95446487479$
Analytic rank:	$0$
Dimension:	$60$
Relative dimension:	$10$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

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

$q$-expansion

$f(q)$	$=$	$q+(0.939693 - 0.342020i) q^{2} +(0.981253 - 2.69597i) q^{3} +(0.766044 - 0.642788i) q^{4} +(1.64845 + 1.51083i) q^{5} -2.86899i q^{6} +(-2.07208 + 0.365363i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-4.00726 - 3.36249i) q^{9} +O(q^{10})$	\(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 $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

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

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
$3$	0.981253	−	2.69597i	0.566526	−	1.55652i	−0.243363	−	0.969935i	$-0.578251\pi$
$3$	0.981253	−	2.69597i	0.566526	−	1.55652i	0.809889	−	0.586583i	$-0.199527\pi$
$4$	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	−0.550916	−	0.834560i	$-0.685722\pi$
$7$	−2.07208	+	0.365363i	−0.783172	+	0.138094i	−0.232255	+	0.972655i	$0.574611\pi$
$8$	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	0.0438115	−	0.999040i	$-0.486050\pi$
$11$	2.94218	−	5.09600i	0.887100	−	1.53650i	0.843288	−	0.537462i	$-0.180617\pi$
$12$	−0.981253	−	2.69597i	−0.283263	−	0.778259i
$13$	−4.66178	+	3.91170i	−1.29294	+	1.08491i	−0.301626	+	0.953426i	$0.597529\pi$
$13$	−4.66178	+	3.91170i	−1.29294	+	1.08491i	−0.991318	+	0.131483i	$0.958026\pi$
$14$	−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	0.997440	+	0.0715036i	$0.0227797\pi$
$17$	5.11703	+	4.29370i	1.24106	+	1.04137i	0.243621	+	0.969871i	$0.421665\pi$
$18$	−4.91563	−	1.78914i	−1.15863	−	0.421705i
$19$	−0.963675	+	2.64768i	−0.221082	+	0.607418i	−0.999801	−	0.0199549i	$-0.993648\pi$
$19$	−0.963675	+	2.64768i	−0.221082	+	0.607418i	0.778719	+	0.627373i	$0.215870\pi$
$20$	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	0.630178	−	0.776451i	$-0.282982\pi$
$23$	−1.71373	−	2.96826i	−0.357337	−	0.618926i	−0.987515	+	0.157525i	$0.949649\pi$
$24$	−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	0.685444	−	0.728125i	$-0.259608\pi$
$29$	2.14109	+	1.23616i	0.397591	+	0.229549i	−0.287853	+	0.957675i	$0.592941\pi$
$30$	4.33456	−	4.72939i	0.791378	−	0.863465i
$31$			2.15465i			0.386987i	0.981102	+	0.193494i	$0.0619818\pi$
$31$			2.15465i			0.386987i	−0.981102	+	0.193494i	$0.938018\pi$
$32$	−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	−0.734383	−	0.678735i	$-0.762528\pi$
$41$	−1.23890	+	1.03956i	−0.193483	+	0.162352i	0.540900	+	0.841087i	$0.318084\pi$
$42$	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	−0.973542	−	0.228508i	$-0.926615\pi$
$47$	−8.65471	+	4.99680i	−1.26242	+	0.728858i	−0.288877	+	0.957366i	$0.593282\pi$
$48$	−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	0.777483	−	0.628904i	$-0.216496\pi$
$53$	9.41304	+	1.65977i	1.29298	+	0.227987i	0.515497	+	0.856891i	$0.327607\pi$
$54$	−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	−0.245375	−	0.969428i	$-0.578911\pi$
$59$	−6.20265	−	1.09369i	−0.807517	−	0.142387i	−0.562141	+	0.827041i	$0.690022\pi$
$60$	2.45560	−	5.92668i	0.317017	−	0.765131i
$61$	5.62259	+	6.70074i	0.719898	+	0.857942i	0.994621	−	0.103582i	$-0.0330304\pi$
$61$	5.62259	+	6.70074i	0.719898	+	0.857942i	−0.274722	+	0.961524i	$0.588586\pi$
$62$	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	0.0493491	−	0.998782i	$-0.484285\pi$
$67$	3.57966	−	0.631191i	0.437325	−	0.0771123i	0.387976	+	0.921669i	$0.373174\pi$
$68$	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	0.761586	−	0.648064i	$-0.224421\pi$
$71$	7.82307	+	2.84737i	0.928428	+	0.337920i	0.166842	+	0.985984i	$0.446643\pi$
$72$	−4.91563	+	1.78914i	−0.579313	+	0.210853i
$73$			0.888551i			0.103997i	0.998647	+	0.0519985i	$0.0165591\pi$
$73$			0.888551i			0.103997i	−0.998647	+	0.0519985i	$0.983441\pi$
$74$	−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	0.0417875	−	0.999127i	$-0.486695\pi$
$79$	3.75772	−	0.662587i	0.422776	−	0.0745469i	0.380989	+	0.924580i	$0.375584\pi$
$80$	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	−0.770056	−	0.637976i	$-0.779772\pi$
$83$	−0.0733685	+	0.0874372i	−0.00805324	+	0.00959748i	0.762003	+	0.647574i	$0.224216\pi$
$84$	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	0.181537	−	0.983384i	$-0.441893\pi$
$89$	0.148951	+	0.0262641i	0.0157888	+	0.00278399i	−0.165748	+	0.986168i	$0.553004\pi$
$90$	−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	−0.800409	−	0.599455i	$-0.795384\pi$
$97$	−9.05452	−	15.6829i	−0.919347	−	1.59236i	−0.118939	−	0.992902i	$-0.537949\pi$
$98$	−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	−0.997000	−	0.0773985i	$-0.975339\pi$
$101$	−5.68350	−	9.84411i	−0.565529	−	0.979525i	0.431471	−	0.902127i	$-0.357995\pi$
$102$	12.3186	−	14.6807i	1.21972	−	1.45361i
$103$	1.47062	−	2.54718i	0.144904	−	0.250981i	−0.784433	−	0.620213i	$-0.787046\pi$
$103$	1.47062	−	2.54718i	0.144904	−	0.250981i	0.929337	+	0.369232i	$0.120379\pi$
$104$	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	0.617291	−	0.786735i	$-0.288230\pi$
$107$	−2.73791	−	3.26291i	−0.264684	−	0.315438i	−0.881974	+	0.471298i	$0.843786\pi$
$108$	−2.18928	+	6.01499i	−0.210663	+	0.578793i
$109$	2.93988	+	8.07726i	0.281590	+	0.773662i	0.997173	+	0.0751345i	$0.0239386\pi$
$109$	2.93988	+	8.07726i	0.281590	+	0.773662i	−0.715584	+	0.698527i	$0.753839\pi$
$110$	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	−0.143524	−	0.989647i	$-0.545843\pi$
$113$	4.06777	−	1.48055i	0.382664	−	0.139278i	0.526187	+	0.850369i	$0.323621\pi$
$114$	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	−0.917674	−	0.397334i	$-0.869935\pi$
$127$	−21.5911	−	3.80710i	−1.91590	−	0.337825i	−0.998228	+	0.0595091i	$0.981046\pi$
$128$	−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	−0.844167	−	0.536080i	$-0.819904\pi$
$131$	−1.94165	+	2.31397i	−0.169643	+	0.202173i	0.674524	+	0.738253i	$0.264349\pi$
$132$	−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	−0.0843281	−	0.996438i	$-0.526874\pi$
$137$	−11.5810	−	6.68630i	−0.989433	−	0.571249i	−0.905105	+	0.425189i	$0.860208\pi$
$138$	−8.51592	+	4.91667i	−0.724924	+	0.418535i
$139$	3.51922	+	2.95298i	0.298496	+	0.250468i	0.779718	−	0.626131i	$-0.215362\pi$
$139$	3.51922	+	2.95298i	0.298496	+	0.250468i	−0.481222	+	0.876599i	$0.659807\pi$
$140$	−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	0.0216149	−	0.999766i	$-0.493119\pi$
$151$	−7.42778	−	2.70349i	−0.604465	−	0.220007i	−0.626079	+	0.779759i	$0.715341\pi$
$152$	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	−0.951928	−	0.306322i	$-0.900902\pi$
$157$	−6.07653	+	7.24172i	−0.484960	+	0.577952i	0.466969	+	0.884274i	$0.345346\pi$
$158$	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	−0.290844	−	0.956771i	$-0.593936\pi$
$163$	3.95392	−	22.4238i	0.309695	−	1.75637i	0.600539	−	0.799596i	$-0.294953\pi$
$164$	−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	0.709849	−	0.704354i	$-0.248763\pi$
$167$	10.3496	+	3.76694i	0.800874	+	0.291494i	0.0910254	+	0.995849i	$0.470986\pi$
$168$	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	0.999517	+	0.0310917i	$0.00989838\pi$
$173$	3.33858	+	9.17268i	0.253828	+	0.697386i	−0.745689	+	0.666294i	$0.767879\pi$
$174$	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	$0.287112\pi$
$179$			20.9934i			1.56912i	−0.620052	+	0.784561i	$0.712888\pi$
$180$	−8.62322	−	7.90331i	−0.642737	−	0.589078i
$181$	−1.39718	+	1.17237i	−0.103852	+	0.0871418i	−0.693235	−	0.720712i	$-0.743815\pi$
$181$	−1.39718	+	1.17237i	−0.103852	+	0.0871418i	0.589383	+	0.807853i	$0.299371\pi$
$182$	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	$-0.983592\pi$
$191$		−	1.42419i		−	0.103051i	0.998672	−	0.0515254i	$-0.0164083\pi$
$192$	−2.82540	+	0.498195i	−0.203906	+	0.0359541i
$193$	−0.335107	+	0.580423i	−0.0241216	+	0.0417798i	−0.877834	−	0.478965i	$-0.841012\pi$
$193$	−0.335107	+	0.580423i	−0.0241216	+	0.0417798i	0.853713	+	0.520744i	$0.174346\pi$
$194$	−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	−0.958482	−	0.285153i	$-0.907955\pi$
$197$	−5.72003	−	15.7157i	−0.407535	−	1.11969i	0.550947	−	0.834540i	$-0.314267\pi$
$198$	−23.5801	+	19.7861i	−1.67577	+	1.40614i
$199$	−16.6438	+	9.60931i	−1.17985	+	0.681186i	−0.955979	−	0.293434i	$-0.905202\pi$
$199$	−16.6438	+	9.60931i	−1.17985	+	0.681186i	−0.223869	+	0.974619i	$0.571869\pi$
$200$	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	−0.999987	−	0.00500081i	$-0.998408\pi$
$211$	−7.19992	+	12.4706i	−0.495663	+	0.858513i	0.504325	+	0.863514i	$0.331742\pi$
$212$	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	$0.129577\pi$
$223$			11.8249i			0.791855i	−0.918282	+	0.395927i	$0.870423\pi$
$224$	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	−0.941267	−	0.337664i	$-0.890363\pi$
$227$	−2.59526	−	14.7184i	−0.172253	−	0.976896i	0.769014	−	0.639232i	$-0.220748\pi$
$228$	8.08366			0.535353
$229$	−1.71426	−	9.72206i	−0.113282	−	0.642452i	−0.987587	−	0.157075i	$-0.949794\pi$
$229$	−1.71426	−	9.72206i	−0.113282	−	0.642452i	0.874305	−	0.485377i	$-0.161318\pi$
$230$	−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	0.520358	−	0.853948i	$-0.325799\pi$
$233$	0.625770	+	0.361288i	0.0409955	+	0.0236688i	−0.479362	+	0.877617i	$0.659132\pi$
$234$	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	−0.803713	−	0.595017i	$-0.797145\pi$
$239$	−1.20852	+	1.44026i	−0.0781729	+	0.0931629i	0.725540	+	0.688180i	$0.241590\pi$
$240$	−1.92849	−	6.11853i	−0.124484	−	0.394950i
$241$	6.65101	−	18.2735i	0.428429	−	1.17710i	−0.518337	−	0.855177i	$-0.673449\pi$
$241$	6.65101	−	18.2735i	0.428429	−	1.17710i	0.946766	−	0.321923i	$-0.104329\pi$
$242$	−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	−0.0581370	−	0.998309i	$-0.518516\pi$
$251$	−15.0788	−	8.70576i	−0.951766	−	0.549502i	−0.893629	+	0.448806i	$0.851849\pi$
$252$	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	−0.930882	−	0.365319i	$-0.880960\pi$
$257$	−22.5905	+	8.22227i	−1.40916	+	0.512891i	−0.478275	+	0.878210i	$0.658738\pi$
$258$		−	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	0.457136	−	0.889397i	$-0.348875\pi$
$263$	−8.07831	−	9.62736i	−0.498130	−	0.593648i	−0.955266	+	0.295749i	$0.904431\pi$
$264$	−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	0.686001	−	0.727601i	$-0.259365\pi$
$269$	−4.70913	−	8.15645i	−0.287120	−	0.497307i	−0.973121	+	0.230294i	$0.926031\pi$
$270$	−14.1909	+	1.86682i	−0.863628	+	0.113611i
$271$	24.3478	−	8.86188i	1.47902	−	0.538321i	0.528490	−	0.848939i	$-0.322758\pi$
$271$	24.3478	−	8.86188i	1.47902	−	0.538321i	0.950535	+	0.310618i	$0.100536\pi$
$272$	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	0.725717	−	0.687993i	$-0.241508\pi$
$277$	13.9706	+	5.08490i	0.839415	+	0.305522i	0.113698	+	0.993515i	$0.463730\pi$
$278$	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	−0.0522117	−	0.998636i	$-0.516627\pi$
$281$	−7.42315	−	1.30890i	−0.442828	−	0.0780826i	−0.390617	+	0.920553i	$0.627738\pi$
$282$	14.3358	+	24.8303i	0.853683	+	1.47862i
$283$	−0.0966131	+	0.0810680i	−0.00574305	+	0.00481899i	−0.645655	−	0.763630i	$-0.723415\pi$
$283$	−0.0966131	+	0.0810680i	−0.00574305	+	0.00481899i	0.639912	+	0.768449i	$0.278971\pi$
$284$	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	−0.659486	−	0.751717i	$-0.729226\pi$
$293$	5.62993	−	15.4681i	0.328904	−	0.903657i	0.988390	−	0.151940i	$-0.0485520\pi$
$294$	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	0.795218	−	0.606324i	$-0.207357\pi$
$307$	11.6997	+	6.75480i	0.667735	+	0.385517i	−0.127483	+	0.991841i	$0.540690\pi$
$308$	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	0.349673	−	0.936872i	$-0.386293\pi$
$311$	6.31037	+	1.11269i	0.357829	+	0.0630948i	0.00815580	+	0.999967i	$0.497404\pi$
$312$	17.1940	+	3.03177i	0.973421	+	0.171640i
$313$	7.30898	+	6.13296i	0.413128	+	0.346655i	0.825542	−	0.564341i	$-0.190870\pi$
$313$	7.30898	+	6.13296i	0.413128	+	0.346655i	−0.412414	+	0.910997i	$0.635314\pi$
$314$	−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	0.827860	−	0.560934i	$-0.189558\pi$
$317$	25.1746	+	4.43895i	1.41394	+	0.249316i	0.586083	+	0.810251i	$0.300669\pi$
$318$	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	0.999862	−	0.0166050i	$-0.00528579\pi$
$331$	4.06167	+	11.1594i	0.223250	+	0.613374i	−0.776612	+	0.629979i	$0.783064\pi$
$332$			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	0.995851	+	0.0910003i	$0.0290064\pi$
$337$	16.7520	+	19.9643i	0.912541	+	1.08752i	−0.0833098	+	0.996524i	$0.526549\pi$
$338$	−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	0.873842	−	0.486211i	$-0.161621\pi$
$347$	0.295251	+	0.511390i	0.0158499	+	0.0274528i	−0.857992	+	0.513664i	$0.828288\pi$
$348$	1.23170	−	6.98530i	0.0660259	−	0.374452i
$349$	1.07927	−	6.12084i	0.0577719	−	0.327641i	−0.942201	−	0.335049i	$-0.891247\pi$
$349$	1.07927	−	6.12084i	0.0577719	−	0.327641i	0.999973	+	0.00740828i	$0.00235815\pi$
$350$	−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	0.999750	+	0.0223472i	$0.00711392\pi$
$353$	22.4588	+	18.8452i	1.19536	+	1.00303i	0.195612	+	0.980681i	$0.437331\pi$
$354$	−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	−0.683989	−	0.729493i	$-0.739756\pi$
$359$	5.49026	−	9.50942i	0.289765	−	0.501888i	0.973754	+	0.227605i	$0.0730895\pi$
$360$	−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	−0.855216	−	0.518271i	$-0.826576\pi$
$367$	2.54898	−	7.00326i	0.133056	−	0.365567i	0.988272	+	0.152704i	$0.0487980\pi$
$368$	−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	0.685819	+	0.727772i	$0.259444\pi$
$373$	−5.93595	+	16.3089i	−0.307352	+	0.844442i	−0.993171	+	0.116670i	$0.962778\pi$
$374$	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	0.355215	−	0.934785i	$-0.384408\pi$
$379$	−9.80571	−	8.22797i	−0.503685	−	0.422642i	−0.858901	+	0.512142i	$0.828852\pi$
$380$	−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	−0.272053	−	0.962282i	$-0.587703\pi$
$383$	12.2974	−	10.3188i	0.628369	−	0.527264i	0.900422	+	0.435018i	$0.143258\pi$
$384$	−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	0.517545	+	0.855656i	$0.326846\pi$
$389$	−8.45968	+	23.2428i	−0.428923	+	1.17846i	−0.946467	+	0.322799i	$0.895376\pi$
$390$	−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	−0.191173	−	0.981556i	$-0.561229\pi$
$397$	11.2235	−	6.47991i	0.563293	−	0.325218i	0.754466	+	0.656339i	$0.227896\pi$
$398$	−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	$-0.949548\pi$
$401$		−	6.32131i		−	0.315671i	0.987465	−	0.157836i	$-0.0504516\pi$
$402$	−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	−0.987338	−	0.158634i	$-0.949291\pi$
$409$	−6.73372	−	18.5007i	−0.332961	−	0.914802i	0.654377	−	0.756169i	$-0.272931\pi$
$410$	−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	−0.629894	−	0.776681i	$-0.716902\pi$
$419$	−12.5515	+	4.56836i	−0.613180	+	0.223179i	0.0167141	+	0.999860i	$0.494679\pi$
$420$	−2.92281	+	13.1777i	−0.142619	+	0.643007i
$421$	24.6766	−	14.2470i	1.20266	−	0.694359i	0.241518	−	0.970396i	$-0.422355\pi$
$421$	24.6766	−	14.2470i	1.20266	−	0.694359i	0.961147	+	0.276038i	$0.0890215\pi$
$422$	−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	0.940695	−	0.339252i	$-0.110174\pi$
$431$	9.20205	+	10.9666i	0.443247	+	0.528241i	−0.497448	+	0.867494i	$0.665730\pi$
$432$	2.18928	+	6.01499i	0.105332	+	0.289396i
$433$	18.8435	+	10.8793i	0.905561	+	0.522826i	0.879000	−	0.476821i	$-0.158211\pi$
$433$	18.8435	+	10.8793i	0.905561	+	0.522826i	0.0265609	+	0.999647i	$0.491544\pi$
$434$	−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	−0.0993936	−	0.995048i	$-0.531690\pi$
$439$	3.09117	−	0.545057i	0.147534	−	0.0260141i	0.246927	+	0.969034i	$0.420579\pi$
$440$	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	$-0.868188\pi$
$443$		−	16.9377i		−	0.804734i	0.915479	−	0.402367i	$-0.131812\pi$
$444$	−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	0.299551	−	0.954080i	$-0.403163\pi$
$449$	19.2264	−	3.39014i	0.907352	−	0.159991i	0.607801	+	0.794090i	$0.292052\pi$
$450$	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	−0.380918	−	0.924609i	$-0.624392\pi$
$457$	9.90846	−	8.31418i	0.463498	−	0.388921i	0.844416	+	0.535688i	$0.179948\pi$
$458$	−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	−0.0249265	+	0.999689i	$0.507935\pi$
$461$	−21.5804	+	25.7185i	−1.00510	+	1.19783i	−0.980173	+	0.198142i	$0.936509\pi$
$462$	33.3786	+	12.1488i	1.55291	+	0.565214i
$463$	−8.47983	−	3.08640i	−0.394091	−	0.143437i	0.137371	−	0.990520i	$-0.456135\pi$
$463$	−8.47983	−	3.08640i	−0.394091	−	0.143437i	−0.531462	+	0.847082i	$0.678357\pi$
$464$	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	0.867875	−	0.496783i	$-0.165486\pi$
$467$	0.0801869	+	0.138888i	0.00371061	+	0.00642696i	−0.864164	+	0.503210i	$0.832152\pi$
$468$	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	0.987956	−	0.154736i	$-0.0494528\pi$
$479$	2.88185	+	7.91783i	0.131675	+	0.361775i	−0.856281	+	0.516511i	$0.827231\pi$
$480$	−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	0.997921	−	0.0644553i	$-0.0205310\pi$
$491$	9.81933	+	17.0076i	0.443140	+	0.767542i	−0.554780	+	0.831997i	$0.687198\pi$
$492$	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	−0.334478	−	0.942403i	$-0.608560\pi$
$499$	11.7837	−	32.3755i	0.527512	−	1.44933i	0.861990	−	0.506924i	$-0.169218\pi$
$500$	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	−0.989557	−	0.144143i	$-0.953957\pi$
$503$	−0.232750	+	1.31999i	−0.0103778	+	0.0588554i	0.979179	+	0.202998i	$0.0650686\pi$
$504$	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	0.581268	−	0.813712i	$-0.302557\pi$
$509$	−2.68804	−	2.25554i	−0.119145	−	0.0999748i	−0.700414	+	0.713737i	$0.747001\pi$
$510$	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	0.503083	−	0.864238i	$-0.332199\pi$
$521$	7.59964	+	2.76604i	0.332946	+	0.121183i	−0.170137	+	0.985420i	$0.554421\pi$
$522$	−8.31315	−	9.90723i	−0.363857	−	0.433628i
$523$	2.82778	+	16.0372i	0.123650	+	0.701256i	0.982100	+	0.188359i	$0.0603167\pi$
$523$	2.82778	+	16.0372i	0.123650	+	0.701256i	−0.858450	+	0.512897i	$0.828572\pi$
$524$			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	−0.688484	−	0.725251i	$-0.741724\pi$
$541$	−9.41169	+	5.43384i	−0.404640	+	0.233619i	0.283844	+	0.958870i	$0.408390\pi$
$542$	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	−0.773946	−	0.633251i	$-0.781720\pi$
$547$	3.77572	−	6.53975i	0.161438	−	0.279619i	0.935385	+	0.353632i	$0.115053\pi$
$548$	−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	−0.872312	−	0.488949i	$-0.837380\pi$
$557$	−28.9406	+	10.5335i	−1.22625	+	0.446319i	−0.353940	+	0.935268i	$0.615158\pi$
$558$	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	−0.223125	−	0.974790i	$-0.571626\pi$
$563$	17.3836	−	30.1092i	0.732630	−	1.26895i	0.955755	−	0.294163i	$-0.0950407\pi$
$564$	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	−0.0311548	−	0.999515i	$-0.509918\pi$
$569$	19.5332	−	11.2775i	0.818873	−	0.472776i	0.850028	+	0.526738i	$0.176585\pi$
$570$	8.34479	+	16.0341i	0.349525	+	0.671594i
$571$	3.81171	−	21.6173i	0.159515	−	0.904655i	−0.795026	−	0.606575i	$-0.792543\pi$
$571$	3.81171	−	21.6173i	0.159515	−	0.904655i	0.954541	−	0.298080i	$-0.0963461\pi$
$572$	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	−0.999586	−	0.0287867i	$-0.990836\pi$
$577$	−1.21153	+	6.87094i	−0.0504368	+	0.286041i	0.949149	+	0.314828i	$0.101947\pi$
$578$	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	−0.930852	−	0.365397i	$-0.880933\pi$
$587$	−4.38796	−	24.8854i	−0.181110	−	1.02713i	0.749741	−	0.661731i	$-0.230178\pi$
$588$	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	$-0.885006\pi$
$593$		−	17.2145i		−	0.706916i	0.935450	−	0.353458i	$-0.114994\pi$
$594$	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	0.992121	+	0.125282i	$0.0399837\pi$
$599$	2.51307	+	14.2523i	0.102681	+	0.582335i	−0.889440	+	0.457052i	$0.848905\pi$
$600$	10.1454	−	10.1414i	0.414186	−	0.414020i
$601$	31.4944	+	26.4269i	1.28468	+	1.07798i	0.992580	+	0.121590i	$0.0387992\pi$
$601$	31.4944	+	26.4269i	1.28468	+	1.07798i	0.292102	+	0.956387i	$0.405645\pi$
$602$	−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	−0.772748	−	0.634713i	$-0.781118\pi$
$607$	4.20024	−	23.8207i	0.170482	−	0.966853i	0.943230	−	0.332140i	$-0.107771\pi$
$608$	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	0.219030	−	0.975718i	$-0.429711\pi$
$613$	2.25639	+	0.397863i	0.0911348	+	0.0160695i	−0.127895	+	0.991788i	$0.540822\pi$
$614$	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	0.885396	−	0.464837i	$-0.153887\pi$
$617$	−2.27649	−	6.25459i	−0.0916479	−	0.251800i	−0.977044	+	0.213036i	$0.931665\pi$
$618$	−7.30784	−	4.21918i	−0.293964	−	0.169720i
$619$	15.7360	+	27.2556i	0.632484	+	1.09550i	0.987042	+	0.160461i	$0.0512981\pi$
$619$	15.7360	+	27.2556i	0.632484	+	1.09550i	−0.354558	+	0.935034i	$0.615369\pi$
$620$	−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	−0.996255	−	0.0864679i	$-0.972442\pi$
$631$	−7.25105	−	19.9221i	−0.288660	−	0.793086i	0.707595	−	0.706618i	$-0.249780\pi$
$632$	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	0.0220675	−	0.999756i	$-0.492975\pi$
$641$	17.2568	−	6.28097i	0.681603	−	0.248083i	0.659536	+	0.751673i	$0.270753\pi$
$642$	−9.36126	+	7.85503i	−0.369460	+	0.310013i
$643$	22.8453	+	39.5692i	0.900931	+	1.56046i	0.826288	+	0.563247i	$0.190448\pi$
$643$	22.8453	+	39.5692i	0.900931	+	1.56046i	0.0746421	+	0.997210i	$0.476219\pi$
$644$	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	−0.0921249	−	0.995747i	$-0.529366\pi$
$647$	−20.4189	−	7.43188i	−0.802751	−	0.292177i	−0.710626	+	0.703570i	$0.751588\pi$
$648$	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	−0.985761	−	0.168155i	$-0.946219\pi$
$653$	−25.3325	+	21.2565i	−0.991336	+	0.831830i	−0.00557554	+	0.999984i	$0.501775\pi$
$654$	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	0.964998	+	0.262256i	$0.0844665\pi$
$659$	3.79657	+	21.5314i	0.147893	+	0.838745i	−0.817105	+	0.576489i	$0.804422\pi$
$660$	−22.9775	−	29.9511i	−0.894399	−	1.16584i
$661$	16.0545	−	2.83084i	0.624447	−	0.110107i	0.147533	−	0.989057i	$-0.452867\pi$
$661$	16.0545	−	2.83084i	0.624447	−	0.110107i	0.476913	+	0.878950i	$0.341756\pi$
$662$	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	−0.365887	−	0.930659i	$-0.619234\pi$
$673$	−10.1539	+	1.79041i	−0.391405	+	0.0690153i	−0.0255176	+	0.999674i	$0.508123\pi$
$674$	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	0.407335	−	0.913279i	$-0.366458\pi$
$677$	−4.68137	−	2.70279i	−0.179920	−	0.103877i	−0.587255	+	0.809402i	$0.699791\pi$
$678$	−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	0.990021	−	0.140918i	$-0.0450054\pi$
$683$	26.7395	+	22.4371i	1.02316	+	0.858533i	0.0331383	+	0.999451i	$0.489450\pi$
$684$	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	−0.934989	−	0.354677i	$-0.884591\pi$
$691$	−37.4128	+	13.6171i	−1.42325	+	0.518020i	−0.488261	+	0.872698i	$0.662368\pi$
$692$	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	0.986469	+	0.163948i	$0.0524229\pi$
$701$	8.90067	+	24.4544i	0.336174	+	0.923630i	−0.650295	+	0.759682i	$0.725355\pi$
$702$		−	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	$0.194581\pi$
$709$			30.5640i			1.14785i	−0.818906	+	0.573927i	$0.805419\pi$
$710$	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	−0.268183	−	0.963368i	$-0.586423\pi$
$719$	8.40136	−	47.6465i	0.313318	−	1.77691i	0.581500	−	0.813546i	$-0.302466\pi$
$720$	−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	−0.525374	−	0.850872i	$-0.676074\pi$
$727$	5.96800	−	5.00775i	0.221341	−	0.185727i	0.746715	+	0.665144i	$0.231630\pi$
$728$	−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	−0.843435	−	0.537231i	$-0.819471\pi$
$733$	−39.3185	+	6.93291i	−1.45226	+	0.256073i	−0.608826	+	0.793303i	$0.708359\pi$
$734$		−	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	−0.841554	−	0.540174i	$-0.818359\pi$
$743$	4.09772	−	11.2584i	0.150331	−	0.413030i	0.991884	+	0.127143i	$0.0405808\pi$
$744$	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	−0.900405	−	0.435053i	$-0.856730\pi$
$751$	−2.01246	+	3.48568i	−0.0734357	+	0.127194i	0.826969	+	0.562247i	$0.190063\pi$
$752$	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	0.765849	−	0.643021i	$-0.222319\pi$
$757$	7.30721	+	6.13148i	0.265585	+	0.222852i	−0.500264	+	0.865873i	$0.666764\pi$
$758$	−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	−0.0247308	+	0.999694i	$0.507873\pi$
$761$	−9.47330	+	53.7258i	−0.343407	+	1.94756i	−0.318676	+	0.947864i	$0.603238\pi$
$762$	−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	0.164516	−	0.986374i	$-0.447394\pi$
$769$	−16.8451	−	9.72555i	−0.607452	−	0.350712i	−0.771967	+	0.635662i	$0.780727\pi$
$770$	−18.7055	+	20.4094i	−0.674099	+	0.735503i
$771$			68.9715i			2.48395i
$772$	0.116382	+	0.660033i	0.00418866	+	0.0237551i

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

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