LMFDB - Embedded newform 370.2.v.a.289.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

chi = DirichletCharacter(H, H._module([9, 5]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("370.99");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

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

Embedding invariants

Embedding label			289.2
Character	$\chi$	$=$	370.289
Dual form			370.2.v.a.169.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.939693 + 0.342020i) q^{2} +(-0.981253 + 2.69597i) q^{3} +(0.766044 - 0.642788i) q^{4} +(1.03230 - 1.98352i) q^{5} -2.86899i q^{6} +(2.07208 - 0.365363i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-4.00726 - 3.36249i) q^{9} +O(q^{10})$	\(q+(-0.939693 + 0.342020i) q^{2} +(-0.981253 + 2.69597i) q^{3} +(0.766044 - 0.642788i) q^{4} +(1.03230 - 1.98352i) q^{5} -2.86899i q^{6} +(2.07208 - 0.365363i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-4.00726 - 3.36249i) q^{9} +(-0.291644 + 2.21697i) 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} +(4.33456 + 4.72939i) 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} +(-0.484191 - 2.18302i) 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} +(-2.86870 - 4.09519i) 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} +(-5.69070 - 2.96167i) q^{30} +2.15465i q^{31} +(0.173648 + 0.984808i) q^{32} +(10.8516 + 12.9325i) q^{33} +(6.27696 + 2.28463i) q^{34} +(1.41431 - 4.48717i) q^{35} -5.23111 q^{36} +(2.51354 + 5.53914i) q^{37} -2.81760i q^{38} +(5.97143 + 16.4064i) q^{39} +(1.20163 + 1.88576i) q^{40} +(-1.23890 + 1.03956i) q^{41} +(-1.04822 - 5.94477i) q^{42} -1.64162 q^{43} +(-1.02181 - 5.79496i) q^{44} +(-10.8063 + 4.47737i) 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} +(4.09633 + 2.86707i) 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} +(-7.07079 - 11.0965i) 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} +(6.36046 + 0.836725i) 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} +(-2.94656 - 13.2848i) q^{65} +(-14.6204 - 8.44108i) q^{66} +(-3.57966 + 0.631191i) q^{67} -6.67980 q^{68} +(-9.68395 + 1.70754i) q^{69} +(0.205689 + 4.70028i) 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} +(-13.7990 + 5.71733i) 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} +(8.62322 - 7.90331i) 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} +(4.25691 + 4.64467i) 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 - 3 q^{5} - 30 q^{8} - 6 q^{9}+O(q^{10}) $ 60 * q - 3 * q^5 - 30 * q^8 - 6 * q^9	$ 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9} + 9 q^{10} + 6 q^{11} - 3 q^{13} + 9 q^{14} + 18 q^{15} + 3 q^{17} + 12 q^{18} + 3 q^{19} - 6 q^{20} + 12 q^{21} - 3 q^{22} - 18 q^{23} - 15 q^{25} - 27 q^{26} + 6 q^{30} - 66 q^{33} + 21 q^{34} - 3 q^{35} - 72 q^{36} + 6 q^{37} + 12 q^{39} + 6 q^{40} - 57 q^{41} + 12 q^{42} + 60 q^{43} - 3 q^{44} + 45 q^{45} - 21 q^{46} - 18 q^{47} - 6 q^{49} + 36 q^{50} - 3 q^{52} - 6 q^{53} + 3 q^{55} + 30 q^{57} + 15 q^{58} - 12 q^{59} + 9 q^{60} + 42 q^{61} - 12 q^{62} - 9 q^{63} - 30 q^{64} - 30 q^{65} - 18 q^{67} - 24 q^{68} + 36 q^{69} + 18 q^{71} + 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} + 21 q^{77} + 6 q^{78} - 24 q^{79} - 36 q^{81} + 27 q^{82} + 30 q^{83} + 12 q^{84} + 33 q^{85} - 18 q^{86} - 30 q^{87} + 6 q^{88} + 3 q^{89} - 3 q^{90} + 57 q^{91} + 15 q^{92} + 60 q^{93} + 3 q^{94} - 150 q^{95} + 84 q^{97} - 6 q^{98} - 45 q^{99}+O(q^{100}) $ 60 * q - 3 * q^5 - 30 * q^8 - 6 * q^9 + 9 * q^10 + 6 * q^11 - 3 * q^13 + 9 * q^14 + 18 * q^15 + 3 * q^17 + 12 * q^18 + 3 * q^19 - 6 * q^20 + 12 * q^21 - 3 * q^22 - 18 * q^23 - 15 * q^25 - 27 * q^26 + 6 * q^30 - 66 * q^33 + 21 * q^34 - 3 * q^35 - 72 * q^36 + 6 * q^37 + 12 * q^39 + 6 * q^40 - 57 * q^41 + 12 * q^42 + 60 * q^43 - 3 * q^44 + 45 * q^45 - 21 * q^46 - 18 * q^47 - 6 * q^49 + 36 * q^50 - 3 * q^52 - 6 * q^53 + 3 * q^55 + 30 * q^57 + 15 * q^58 - 12 * q^59 + 9 * q^60 + 42 * q^61 - 12 * q^62 - 9 * q^63 - 30 * q^64 - 30 * q^65 - 18 * q^67 - 24 * q^68 + 36 * q^69 + 18 * q^71 + 12 * q^72 + 3 * q^74 - 78 * q^75 - 3 * q^76 + 21 * q^77 + 6 * q^78 - 24 * q^79 - 36 * q^81 + 27 * q^82 + 30 * q^83 + 12 * q^84 + 33 * q^85 - 18 * q^86 - 30 * q^87 + 6 * q^88 + 3 * q^89 - 3 * q^90 + 57 * q^91 + 15 * q^92 + 60 * q^93 + 3 * q^94 - 150 * q^95 + 84 * q^97 - 6 * q^98 - 45 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	−0.939693	+	0.342020i	−0.664463	+	0.241845i
$2$	−0.939693	+	0.342020i	−0.664463	+	0.241845i
$3$	−0.981253	+	2.69597i	−0.566526	+	1.55652i	0.243363	+	0.969935i	$0.421749\pi$
$3$	−0.981253	+	2.69597i	−0.566526	+	1.55652i	−0.809889	+	0.586583i	$0.800473\pi$
$4$	0.766044	−	0.642788i	0.383022	−	0.321394i
$5$	1.03230	−	1.98352i	0.461660	−	0.887057i
$5$	1.03230	−	1.98352i	0.461660	−	0.887057i
$6$		−	2.86899i		−	1.17126i
$7$	2.07208	−	0.365363i	0.783172	−	0.138094i	0.232255	−	0.972655i	$-0.425389\pi$
$7$	2.07208	−	0.365363i	0.783172	−	0.138094i	0.550916	+	0.834560i	$0.314278\pi$
$8$	−0.500000	+	0.866025i	−0.176777	+	0.306186i
$9$	−4.00726	−	3.36249i	−1.33575	−	1.12083i
$10$	−0.291644	+	2.21697i	−0.0922260	+	0.701067i
$11$	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	$-0.402471\pi$
$13$	4.66178	−	3.91170i	1.29294	−	1.08491i	0.991318	−	0.131483i	$-0.0419739\pi$
$14$	−1.82215	+	1.05202i	−0.486991	+	0.281165i
$15$	4.33456	+	4.72939i	1.11918	+	1.22112i
$16$	0.173648	−	0.984808i	0.0434120	−	0.246202i
$17$	−5.11703	−	4.29370i	−1.24106	−	1.04137i	−0.997440	−	0.0715036i	$-0.977220\pi$
$17$	−5.11703	−	4.29370i	−1.24106	−	1.04137i	−0.243621	−	0.969871i	$-0.578335\pi$
$18$	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	$0.215870\pi$
$20$	−0.484191	−	2.18302i	−0.108268	−	0.488137i
$21$	−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	$-0.0503514\pi$
$23$	1.71373	+	2.96826i	0.357337	+	0.618926i	−0.630178	+	0.776451i	$0.717018\pi$
$24$	−1.84415	−	2.19777i	−0.376436	−	0.448619i
$25$	−2.86870	−	4.09519i	−0.573740	−	0.819038i
$26$	−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	$0.592941\pi$
$30$	−5.69070	−	2.96167i	−1.03897	−	0.540724i
$31$			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
$35$	1.41431	−	4.48717i	0.239062	−	0.758471i
$36$	−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
$40$	1.20163	+	1.88576i	0.189994	+	0.298165i
$41$	−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	$-0.539948\pi$
$43$	−1.64162			−0.250344			−0.125172	+	0.992135i	$0.539948\pi$
$44$	−1.02181	−	5.79496i	−0.154043	−	0.873623i
$45$	−10.8063	+	4.47737i	−1.61090	+	0.667447i
$46$	−2.62558	−	2.20313i	−0.387121	−	0.324833i
$47$	8.65471	−	4.99680i	1.26242	−	0.728858i	0.288877	−	0.957366i	$-0.406718\pi$
$47$	8.65471	−	4.99680i	1.26242	−	0.728858i	0.973542	+	0.228508i	$0.0733847\pi$
$48$	2.48462	+	1.43450i	0.358624	+	0.207052i
$49$	−2.41783	+	0.880019i	−0.345405	+	0.125717i
$50$	4.09633	+	2.86707i	0.579309	+	0.405464i
$51$	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	$-0.672393\pi$
$53$	−9.41304	−	1.65977i	−1.29298	−	0.227987i	−0.777483	+	0.628904i	$0.783504\pi$
$54$	−4.11450	+	4.90347i	−0.559912	+	0.667277i
$55$	−7.07079	−	11.0965i	−0.953426	−	1.49625i
$56$	−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	$0.690022\pi$
$60$	6.36046	+	0.836725i	0.821132	+	0.108021i
$61$	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
$65$	−2.94656	−	13.2848i	−0.365475	−	1.64777i
$66$	−14.6204	−	8.44108i	−1.79964	−	1.03902i
$67$	−3.57966	+	0.631191i	−0.437325	+	0.0771123i	−0.387976	−	0.921669i	$-0.626826\pi$
$67$	−3.57966	+	0.631191i	−0.437325	+	0.0771123i	−0.0493491	+	0.998782i	$0.515715\pi$
$68$	−6.67980			−0.810045
$69$	−9.68395	+	1.70754i	−1.16581	+	0.205564i
$70$	0.205689	+	4.70028i	0.0245845	+	0.561791i
$71$	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	$-0.983441\pi$
$73$		−	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	0.0417875	−	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	−0.762003	−	0.647574i	$-0.775784\pi$
$83$	0.0733685	−	0.0874372i	0.00805324	−	0.00959748i	0.770056	+	0.637976i	$0.220228\pi$
$84$	3.01824	+	5.22774i	0.329317	+	0.570394i
$85$	−13.7990	+	5.71733i	−1.49671	+	0.620131i
$86$	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	$0.553004\pi$
$90$	8.62322	−	7.90331i	0.908968	−	0.833082i
$91$	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
$95$	4.25691	+	4.64467i	0.436750	+	0.476533i
$96$	−2.82540	−	0.498195i	−0.288367	−	0.0508468i
$97$	9.05452	+	15.6829i	0.919347	+	1.59236i	0.800409	+	0.599455i	$0.204616\pi$
$97$	9.05452	+	15.6829i	0.919347	+	1.59236i	0.118939	+	0.992902i	$0.462051\pi$
$98$	1.97103	−	1.65389i	0.199105	−	0.167069i
$99$	−28.9253	+	10.5280i	−2.90710	+	1.05810i
$100$	−4.82989	−	1.29313i	−0.482989	−	0.129313i
$101$	−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	−0.929337	−	0.369232i	$-0.879621\pi$
$103$	−1.47062	+	2.54718i	−0.144904	+	0.250981i	0.784433	+	0.620213i	$0.212954\pi$
$104$	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	$-0.156214\pi$
$107$	2.73791	+	3.26291i	0.264684	+	0.315438i	−0.617291	+	0.786735i	$0.711770\pi$
$108$	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	−0.526187	−	0.850369i	$-0.676379\pi$
$113$	−4.06777	+	1.48055i	−0.382664	+	0.139278i	0.143524	+	0.989647i	$0.454157\pi$
$114$	7.59616	+	2.76477i	0.711445	+	0.258945i
$115$	7.65670	−	0.335064i	0.713991	−	0.0312449i
$116$	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
$120$	−6.26305	+	1.38914i	−0.571736	+	0.126811i
$121$	−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
$125$	−11.0843	+	1.46264i	−0.991406	+	0.130823i
$126$	10.8393	+	1.91125i	0.965638	+	0.170268i
$127$	21.5911	+	3.80710i	1.91590	+	0.337825i	0.998228	−	0.0595091i	$-0.0189535\pi$
$127$	21.5911	+	3.80710i	1.91590	+	0.337825i	0.917674	+	0.397334i	$0.130065\pi$
$128$	0.766044	+	0.642788i	0.0677094	+	0.0568149i
$129$	1.61084	−	4.42574i	0.141826	−	0.389665i
$130$	7.31252	+	11.4758i	0.641351	+	1.00650i
$131$	−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
$135$	−0.625756	−	14.2994i	−0.0538565	−	1.23070i
$136$	6.27696	−	2.28463i	0.538245	−	0.195905i
$137$	11.5810	+	6.68630i	0.989433	+	0.571249i	0.905105	−	0.425189i	$-0.139792\pi$
$137$	11.5810	+	6.68630i	0.989433	+	0.571249i	0.0843281	+	0.996438i	$0.473126\pi$
$138$	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	$0.659807\pi$
$140$	−1.80088	−	4.34647i	−0.152202	−	0.367344i
$141$	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
$145$	4.66220	−	2.97081i	0.387175	−	0.246712i
$146$	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	$0.456953\pi$
$150$	−11.7491	+	8.23027i	−0.959306	+	0.671999i
$151$	−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
$155$	4.27380	+	2.22426i	0.343280	+	0.178656i
$156$	15.1202	+	8.72965i	1.21058	+	0.698931i
$157$	6.07653	−	7.24172i	0.484960	−	0.577952i	−0.466969	−	0.884274i	$-0.654654\pi$
$157$	6.07653	−	7.24172i	0.484960	−	0.577952i	0.951928	+	0.306322i	$0.0990983\pi$
$158$	−3.30448	+	1.90784i	−0.262890	+	0.151780i
$159$	13.7113	−	23.7486i	1.08737	−	1.88339i
$160$	2.13264	+	0.672186i	0.168600	+	0.0531410i
$161$	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	$0.406064\pi$
$163$	−3.95392	+	22.4238i	−0.309695	+	1.75637i	−0.600539	+	0.799596i	$0.705047\pi$
$164$	−0.280835	+	1.59269i	−0.0219295	+	0.124369i
$165$	36.8540	−	8.17419i	2.86908	−	0.636360i
$166$	−0.0390386	+	0.107258i	−0.00302998	+	0.00832481i
$167$	−10.3496	−	3.76694i	−0.800874	−	0.291494i	−0.0910254	−	0.995849i	$-0.529014\pi$
$167$	−10.3496	−	3.76694i	−0.800874	−	0.291494i	−0.709849	+	0.704354i	$0.751237\pi$
$168$	−4.62421	−	3.88017i	−0.356766	−	0.299362i
$169$	4.17338	−	23.6684i	0.321029	−	1.82065i
$170$	11.0113	−	10.0920i	0.844531	−	0.774025i
$171$	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	$-0.990102\pi$
$173$	−3.33858	−	9.17268i	−0.253828	−	0.697386i	0.745689	−	0.666294i	$-0.232121\pi$
$174$	3.54653	−	6.14277i	0.268862	−	0.465682i
$175$	−7.44040	−	7.43743i	−0.562441	−	0.562217i
$176$	−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	$0.712888\pi$
$180$	−5.40009	+	10.3760i	−0.402499	+	0.773381i
$181$	−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
$185$	13.5817	+	0.732410i	0.998549	+	0.0538479i
$186$	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
$190$	−5.58876	−	2.90862i	−0.405451	−	0.211013i
$191$		−	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	−0.853713	−	0.520744i	$-0.825654\pi$
$193$	0.335107	−	0.580423i	0.0241216	−	0.0417798i	0.877834	+	0.478965i	$0.158988\pi$
$194$	−13.8723	−	11.6403i	−0.995975	−	0.835723i
$195$	38.7067	+	5.09190i	2.77184	+	0.364639i
$196$	−1.28650	+	2.22829i	−0.0918930	+	0.159163i
$197$	5.72003	+	15.7157i	0.407535	+	1.11969i	0.958482	+	0.285153i	$0.0920445\pi$
$197$	5.72003	+	15.7157i	0.407535	+	1.11969i	−0.550947	+	0.834540i	$0.685733\pi$
$198$	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	$0.571869\pi$
$200$	4.98089	−	0.436772i	0.352202	−	0.0308845i
$201$	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
$205$	0.783066	+	3.53051i	0.0546917	+	0.246582i
$206$	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
$210$	−12.8737	−	4.05764i	−0.888367	−	0.280004i
$211$	−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
$215$	−1.69465	+	3.25618i	−0.115574	+	0.222069i
$216$			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
$220$	−12.5492	−	3.95538i	−0.846069	−	0.266672i
$221$	−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
$225$	−2.27441	+	26.0565i	−0.151627	+	1.73710i
$226$	3.31608	−	2.78252i	0.220582	−	0.185090i
$227$	2.59526	+	14.7184i	0.172253	+	0.976896i	0.941267	+	0.337664i	$0.109637\pi$
$227$	2.59526	+	14.7184i	0.172253	+	0.976896i	−0.769014	+	0.639232i	$0.779252\pi$
$228$	−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	$-0.161318\pi$
$230$	−7.08034	+	2.93360i	−0.466864	+	0.193436i
$231$	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	$-0.340868\pi$
$233$	−0.625770	−	0.361288i	−0.0409955	−	0.0236688i	−0.520358	+	0.853948i	$0.674201\pi$
$234$	29.9142	−	10.8879i	1.95555	−	0.711762i
$235$	−0.976961	−	22.3250i	−0.0637299	−	1.45632i
$236$	−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	$0.241590\pi$
$240$	5.41023	−	3.44745i	0.349229	−	0.222532i
$241$	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
$245$	−0.750402	+	5.70426i	−0.0479414	+	0.364432i
$246$	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
$250$	9.91554	−	5.16547i	0.627114	−	0.326693i
$251$	−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
$255$	−1.87348	−	42.8117i	−0.117322	−	2.68097i
$256$	−0.939693	−	0.342020i	−0.0587308	−	0.0213763i
$257$	22.5905	−	8.22227i	1.40916	−	0.512891i	0.478275	−	0.878210i	$-0.341262\pi$
$257$	22.5905	−	8.22227i	1.40916	−	0.512891i	0.930882	+	0.365319i	$0.119040\pi$
$258$			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	$-0.0955691\pi$
$263$	8.07831	+	9.62736i	0.498130	+	0.593648i	−0.457136	+	0.889397i	$0.651125\pi$
$264$	−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	$0.926031\pi$
$270$	5.47871	+	13.2231i	0.333424	+	0.804729i
$271$	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
$275$	−29.3093	+	2.57012i	−1.76742	+	0.154984i
$276$	−6.32075	+	7.53278i	−0.380464	+	0.453420i
$277$	−13.9706	−	5.08490i	−0.839415	−	0.305522i	−0.113698	−	0.993515i	$-0.536270\pi$
$277$	−13.9706	−	5.08490i	−0.839415	−	0.305522i	−0.725717	+	0.687993i	$0.758492\pi$
$278$	−4.31696	−	1.57125i	−0.258914	−	0.0942371i
$279$	7.24500	−	8.63425i	0.433747	−	0.516919i
$280$	3.17885	+	3.46841i	0.189973	+	0.207277i
$281$	−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	−0.639912	−	0.768449i	$-0.721029\pi$
$283$	0.0966131	−	0.0810680i	0.00574305	−	0.00481899i	0.645655	+	0.763630i	$0.276585\pi$
$284$	7.82307	−	2.84737i	0.464214	−	0.168960i
$285$	−16.6990	+	6.91890i	−0.989163	+	0.409840i
$286$	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	$0.270774\pi$
$293$	−5.62993	+	15.4681i	−0.328904	+	0.903657i	−0.988390	+	0.151940i	$0.951448\pi$
$294$	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
$300$	8.22558	−	11.7523i	0.474904	−	0.678522i
$301$	−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
$305$	19.0953	−	4.23532i	1.09339	−	0.242513i
$306$	−17.4714	−	30.2613i	−0.998772	−	1.72992i
$307$	−11.6997	−	6.75480i	−0.667735	−	0.385517i	0.127483	−	0.991841i	$-0.459310\pi$
$307$	−11.6997	−	6.75480i	−0.667735	−	0.385517i	−0.795218	+	0.606324i	$0.792643\pi$
$308$	−4.23453	−	11.6343i	−0.241285	−	0.662924i
$309$	−5.42408	−	6.46416i	−0.308565	−	0.367733i
$310$	−4.77679	−	0.628392i	−0.271304	−	0.0356903i
$311$	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	0.412414	−	0.910997i	$-0.364686\pi$
$313$	−7.30898	−	6.13296i	−0.413128	−	0.346655i	−0.825542	+	0.564341i	$0.809130\pi$
$314$	−3.23325	+	8.88329i	−0.182463	+	0.501313i
$315$	−20.7556	+	13.2257i	−1.16944	+	0.745182i
$316$	2.45268	−	2.92299i	0.137974	−	0.164431i
$317$	−25.1746	−	4.43895i	−1.41394	−	0.249316i	−0.586083	−	0.810251i	$-0.699331\pi$
$317$	−25.1746	−	4.43895i	−1.41394	−	0.249316i	−0.827860	+	0.560934i	$0.810442\pi$
$318$	−4.76187	+	27.0059i	−0.267033	+	1.51442i
$319$	12.5989	−	7.27400i	0.705405	−	0.407266i
$320$	−2.23393	+	0.0977587i	−0.124880	+	0.00546488i
$321$	−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
$325$	−29.3924	−	7.86938i	−1.63040	−	0.436515i
$326$	−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
$330$	−31.8357	+	20.2860i	−1.75250	+	1.11671i
$331$	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
$335$	−2.44332	+	7.75191i	−0.133493	+	0.423532i
$336$	5.67243	+	2.06460i	0.309457	+	0.112633i
$337$	−16.7520	−	19.9643i	−0.912541	−	1.08752i	−0.995851	−	0.0910003i	$-0.970994\pi$
$337$	−16.7520	−	19.9643i	−0.912541	−	1.08752i	0.0833098	−	0.996524i	$-0.473451\pi$
$338$	4.17338	+	23.6684i	0.227002	+	1.28739i
$339$		−	12.4194i		−	0.674528i
$340$	−6.89559	+	13.2495i	−0.373966	+	0.718556i
$341$	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
$345$	−6.60983	+	20.9710i	−0.355861	+	1.12904i
$346$	6.27448	+	7.47764i	0.337318	+	0.402000i
$347$	−0.295251	−	0.511390i	−0.0158499	−	0.0274528i	0.857992	−	0.513664i	$-0.171712\pi$
$347$	−0.295251	−	0.511390i	−0.0158499	−	0.0274528i	−0.873842	+	0.486211i	$0.838379\pi$
$348$	−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	$0.00235815\pi$
$350$	9.53544	+	4.44413i	0.509691	+	0.237549i
$351$	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	$-0.992886\pi$
$353$	−22.4588	−	18.8452i	−1.19536	−	1.00303i	−0.195612	−	0.980681i	$-0.562669\pi$
$354$	−3.13780	+	17.7953i	−0.166772	+	0.945812i
$355$	13.7236	−	12.5779i	0.728373	−	0.667564i
$356$	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	$0.0730895\pi$
$360$	1.52562	−	11.5972i	0.0804074	−	0.611226i
$361$	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
$365$	−1.76246	−	0.917254i	−0.0922513	−	0.0480113i
$366$	19.2244	−	16.1311i	1.00487	−	0.843189i
$367$	−2.54898	+	7.00326i	−0.133056	+	0.365567i	−0.988272	−	0.152704i	$-0.951202\pi$
$367$	−2.54898	+	7.00326i	−0.133056	+	0.365567i	0.855216	+	0.518271i	$0.173424\pi$
$368$	3.22076	−	1.17226i	0.167894	−	0.0611082i
$369$	8.46008			0.440414
$370$	−13.0132	+	3.95699i	−0.676522	+	0.205714i
$371$	−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	$-0.740556\pi$
$373$	5.93595	−	16.3089i	0.307352	−	0.844442i	0.993171	−	0.116670i	$-0.0372219\pi$
$374$	30.1104	−	25.2656i	1.55697	−	1.30645i
$375$	6.93321	−	31.3180i	0.358029	−	1.61726i
$376$			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	$0.828852\pi$
$380$	6.24652	+	0.821736i	0.320440	+	0.0421542i
$381$	−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	$-0.856742\pi$
$383$	−12.2974	+	10.3188i	−0.628369	+	0.527264i	0.272053	+	0.962282i	$0.412297\pi$
$384$	−2.48462	+	1.43450i	−0.126793	+	0.0732038i
$385$	−18.7055	−	20.4094i	−0.953320	−	1.04016i
$386$	−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	$0.895376\pi$
$390$	−38.1139	+	8.45364i	−1.92997	+	0.428067i
$391$	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
$395$	2.56485	−	8.13750i	0.129052	−	0.409442i
$396$	−15.3908	+	26.6577i	−0.773419	+	1.33960i
$397$	−11.2235	+	6.47991i	−0.563293	+	0.325218i	−0.754466	−	0.656339i	$-0.772104\pi$
$397$	−11.2235	+	6.47991i	−0.563293	+	0.325218i	0.191173	+	0.981556i	$0.438771\pi$
$398$	12.3535	−	14.7223i	0.619224	−	0.737963i
$399$	−14.7297	−	8.50418i	−0.737406	−	0.425742i
$400$	−4.53112	+	2.11400i	−0.226556	+	0.105700i
$401$		−	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
$405$	5.69661	+	1.79551i	0.283067	+	0.0892196i
$406$	−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	$-0.272931\pi$
$410$	−1.94335	−	3.04977i	−0.0959751	−	0.150618i
$411$	−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
$415$	−0.0976948	−	0.235790i	−0.00479565	−	0.0115745i
$416$	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	$0.494679\pi$
$420$	13.4851	−	0.590118i	0.658004	−	0.0287948i
$421$	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
$425$	−2.90428	+	33.2725i	−0.140878	+	1.61395i
$426$	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
$430$	0.478768	−	3.63941i	0.0230882	−	0.175508i
$431$	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	−0.0265609	−	0.999647i	$-0.508456\pi$
$433$	−18.8435	−	10.8793i	−0.905561	−	0.522826i	−0.879000	+	0.476821i	$0.841789\pi$
$434$	−2.26674	−	3.92611i	−0.108807	−	0.188459i
$435$	3.43440	+	15.4843i	0.164667	+	0.742414i
$436$	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	$0.420579\pi$
$440$	13.1452	−	0.575247i	0.626674	−	0.0274238i
$441$	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	0.299551	−	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
$455$	−10.9593	−	26.4505i	−0.513778	−	1.24002i
$456$	7.59616	−	2.76477i	0.355723	−	0.129472i
$457$	−9.90846	+	8.31418i	−0.463498	+	0.388921i	−0.844416	−	0.535688i	$-0.820052\pi$
$457$	−9.90846	+	8.31418i	−0.463498	+	0.388921i	0.380918	+	0.924609i	$0.375608\pi$
$458$	4.93602	+	8.54944i	0.230645	+	0.399489i
$459$	−42.1080	−	7.42477i	−1.96543	−	0.346559i
$460$	5.65000	−	5.17830i	0.263432	−	0.241440i
$461$	−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	0.531462	−	0.847082i	$-0.321643\pi$
$463$	8.47983	+	3.08640i	0.394091	+	0.143437i	−0.137371	+	0.990520i	$0.543865\pi$
$464$	1.58918	−	1.89391i	0.0737757	−	0.0879224i
$465$	−10.1902	+	9.33946i	−0.472559	+	0.433107i
$466$	0.711599	+	0.125474i	0.0329642	+	0.00581247i
$467$	−0.0801869	−	0.138888i	−0.00371061	−	0.00642696i	0.864164	−	0.503210i	$-0.167848\pi$
$467$	−0.0801869	−	0.138888i	−0.00371061	−	0.00642696i	−0.867875	+	0.496783i	$0.834514\pi$
$468$	−24.3863	+	20.4625i	−1.12725	+	0.945879i
$469$	−7.18673	+	2.61575i	−0.331852	+	0.120784i
$470$	8.55364	+	20.6445i	0.394550	+	0.952260i
$471$	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
$485$	40.4543	−	1.77032i	1.83694	−	0.0803859i
$486$	−11.3642	+	2.00382i	−0.515493	+	0.0908953i
$487$	7.66479			0.347325			0.173662	−	0.984805i	$-0.444440\pi$
$487$	7.66479			0.347325			0.173662	+	0.984805i	$0.444440\pi$
$488$	−8.61430	+	1.51893i	−0.389951	+	0.0687589i
$489$	−56.5740	−	32.6630i	−2.55837	−	1.47707i
$490$	−1.24583	−	5.61691i	−0.0562807	−	0.253746i
$491$	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
$495$	−8.97730	+	68.2420i	−0.403500	+	3.06725i
$496$	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	$-0.169218\pi$
$500$	−7.55086	+	8.24527i	−0.337685	+	0.368740i
$501$	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	$-0.934931\pi$
$503$	0.232750	−	1.31999i	0.0103778	−	0.0588554i	0.989557	+	0.144143i	$0.0460425\pi$
$504$	9.53188	−	5.50324i	0.424584	−	0.245134i
$505$	−25.3931	+	1.11122i	−1.12998	+	0.0494488i
$506$	−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	$0.747001\pi$
$510$	16.4030	+	39.5891i	0.726335	+	1.75303i
$511$	−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
$515$	3.53426	+	5.54646i	0.155738	+	0.244406i
$516$	−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
$520$	12.9782	+	4.09060i	0.569133	+	0.179385i
$521$	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	$-0.939683\pi$
$523$	−2.82778	−	16.0372i	−0.123650	−	0.701256i	0.858450	−	0.512897i	$-0.171428\pi$
$524$			3.02068i			0.131959i
$525$	27.3520	−	12.7611i	1.19374	−	0.556940i
$526$	−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
$530$	6.42492	−	20.3843i	0.279081	−	0.885439i
$531$	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
$535$	9.29840	−	2.06238i	0.402005	−	0.0891644i
$536$	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
$540$	−9.67085	−	10.5518i	−0.416167	−	0.454076i
$541$	−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
$545$	19.0563	+	2.50687i	0.816281	+	0.107383i
$546$	−28.1407	−	23.6129i	−1.20431	−	1.01054i
$547$	−3.77572	+	6.53975i	−0.161438	+	0.279619i	−0.935385	−	0.353632i	$-0.884947\pi$
$547$	−3.77572	+	6.53975i	−0.161438	+	0.279619i	0.773946	+	0.633251i	$0.218280\pi$
$548$	13.1694	−	2.32213i	0.562571	−	0.0991964i
$549$		−	45.7575i		−	1.95288i
$550$	26.6627	−	12.4395i	1.13690	−	0.530422i
$551$	−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
$555$	−15.3017	+	35.8973i	−0.649520	+	1.52375i
$556$	4.59402			0.194830
$557$	28.9406	−	10.5335i	1.22625	−	0.446319i	0.353940	−	0.935268i	$-0.384842\pi$
$557$	28.9406	−	10.5335i	1.22625	−	0.446319i	0.872312	+	0.488949i	$0.162620\pi$
$558$	−3.85498	+	10.5915i	−0.163194	+	0.448373i
$559$	−7.65285	+	6.42150i	−0.323681	+	0.271601i
$560$	−4.17341	−	2.17201i	−0.176359	−	0.0917842i
$561$		−	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	$0.428374\pi$
$563$	−17.3836	+	30.1092i	−0.732630	+	1.26895i	−0.955755	+	0.294163i	$0.904959\pi$
$564$	21.9637	+	18.4297i	0.924837	+	0.776031i
$565$	−1.26248	+	9.59688i	−0.0531129	+	0.403744i
$566$	−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	$0.176585\pi$
$570$	13.3255	−	12.2130i	0.558145	−	0.511548i
$571$	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
$575$	7.23943	−	15.5331i	0.301905	−	0.647775i
$576$	−0.908372	+	5.15163i	−0.0378488	+	0.214651i
$577$	1.21153	−	6.87094i	0.0504368	−	0.286041i	−0.949149	−	0.314828i	$-0.898053\pi$
$577$	1.21153	−	6.87094i	0.0504368	−	0.286041i	0.999586	+	0.0287867i	$0.00916434\pi$
$578$	−13.8099	−	23.9194i	−0.574416	−	0.994917i
$579$	1.23598	+	1.47298i	0.0513655	+	0.0612150i
$580$	1.66186	−	5.27258i	0.0690049	−	0.218932i
$581$	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
$585$	−32.8623	+	63.1433i	−1.35869	+	2.61066i
$586$		−	16.4608i		−	0.679990i
$587$	4.38796	+	24.8854i	0.181110	+	1.02713i	0.930852	+	0.365397i	$0.119067\pi$
$587$	4.38796	+	24.8854i	0.181110	+	1.02713i	−0.749741	+	0.661731i	$0.769822\pi$
$588$	−4.74501	−	5.65488i	−0.195681	−	0.233203i
$589$	−5.70482	−	2.07639i	−0.235063	−	0.0855560i
$590$	4.23365	−	13.4321i	0.174297	−	0.552991i
$591$	−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
$595$	−26.5036	+	16.8884i	−1.08654	+	0.692356i
$596$	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	$0.848905\pi$
$600$	−3.70998	+	13.8569i	−0.151459	+	0.565706i
$601$	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
$605$	−52.7780	+	2.30961i	−2.14573	+	0.0938990i
$606$	−28.2426	+	16.3059i	−1.14728	+	0.662382i
$607$	−4.20024	+	23.8207i	−0.170482	+	0.966853i	0.772748	+	0.634713i	$0.218882\pi$
$607$	−4.20024	+	23.8207i	−0.170482	+	0.966853i	−0.943230	+	0.332140i	$0.892229\pi$
$608$	−2.77479	−	0.489271i	−0.112533	−	0.0198425i
$609$	−9.59303	+	11.4325i	−0.388729	+	0.463270i
$610$	−16.4951	+	10.5109i	−0.667868	+	0.425572i
$611$	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	$-0.459178\pi$
$613$	−2.25639	−	0.397863i	−0.0911348	−	0.0160695i	−0.219030	+	0.975718i	$0.570289\pi$
$614$	13.3044	+	2.34592i	0.536920	+	0.0946735i
$615$	−10.2865	−	1.35321i	−0.414793	−	0.0545665i
$616$	7.95831	+	9.48434i	0.320649	+	0.382135i
$617$	2.27649	+	6.25459i	0.0916479	+	0.251800i	0.977044	−	0.213036i	$-0.0683352\pi$
$617$	2.27649	+	6.25459i	0.0916479	+	0.251800i	−0.885396	+	0.464837i	$0.846113\pi$
$618$	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	$0.615369\pi$
$620$	4.70364	−	1.04326i	0.188903	−	0.0418985i
$621$	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
$625$	−8.54113	+	23.4957i	−0.341645	+	0.939829i
$626$	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
$640$	2.06577	−	0.855912i	0.0816568	−	0.0338329i
$641$	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	$-0.809552\pi$
$643$	−22.8453	−	39.5692i	−0.900931	−	1.56046i	−0.0746421	−	0.997210i	$-0.523781\pi$
$644$	7.10196	+	1.25227i	0.279856	+	0.0493462i
$645$	−7.11568	−	7.76384i	−0.280179	−	0.305701i
$646$	−12.0979	+	14.4177i	−0.475986	+	0.567258i
$647$	20.4189	+	7.43188i	0.802751	+	0.292177i	0.710626	−	0.703570i	$-0.248412\pi$
$647$	20.4189	+	7.43188i	0.802751	+	0.292177i	0.0921249	+	0.995747i	$0.470634\pi$
$648$	−2.51006	−	0.913587i	−0.0986045	−	0.0358891i
$649$	−23.8228	+	28.3909i	−0.935125	+	1.11444i
$650$	30.3113	−	2.65799i	1.18891	−	0.104255i
$651$	−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	$-0.498225\pi$
$653$	25.3325	−	21.2565i	0.991336	−	0.831830i	0.985761	+	0.168155i	$0.0537808\pi$
$654$	23.1736	−	8.43450i	0.906159	−	0.329815i
$655$	2.58544	+	6.24003i	0.101021	+	0.243818i
$656$	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
$670$	−0.355342	−	8.12008i	−0.0137280	−	0.313706i
$671$	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	$-0.491877\pi$
$673$	10.1539	−	1.79041i	0.391405	−	0.0690153i	0.365887	+	0.930659i	$0.380766\pi$
$674$	22.5699	+	13.0308i	0.869362	+	0.501926i
$675$	−29.0092	−	13.5202i	−1.11656	−	0.520391i
$676$	−12.0168	−	20.8137i	−0.462183	−	0.800525i
$677$	4.68137	+	2.70279i	0.179920	+	0.103877i	0.587255	−	0.809402i	$-0.300209\pi$
$677$	4.68137	+	2.70279i	0.179920	+	0.103877i	−0.407335	+	0.913279i	$0.633542\pi$
$678$	4.24768	+	11.6704i	0.163131	+	0.448199i
$679$	24.4916	+	29.1880i	0.939902	+	1.12013i
$680$	1.94813	−	14.8089i	0.0747073	−	0.567896i
$681$	−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	$-0.510550\pi$
$683$	−26.7395	−	22.4371i	−1.02316	−	0.858533i	−0.990021	+	0.140918i	$0.954995\pi$
$684$	5.04109	−	13.8503i	0.192751	−	0.529578i
$685$	25.2175	−	16.0689i	0.963512	−	0.613960i
$686$	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
$690$	−0.961295	−	21.9670i	−0.0365959	−	0.836269i
$691$	−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
$695$	9.49019	−	3.93207i	0.359983	−	0.149152i
$696$	−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
$700$	−10.4804	−	0.914807i	−0.396121	−	0.0345764i
$701$	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
$705$	61.1462	+	19.2726i	2.30290	+	0.725848i
$706$	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	$0.805419\pi$
$710$	−8.59407	+	16.5131i	−0.322530	+	0.619725i
$711$	−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
$715$	−76.3685	−	24.0705i	−2.85602	−	0.900187i
$716$	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	$-0.302466\pi$
$720$	2.53286	+	11.4196i	0.0943940	+	0.425583i
$721$	−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
$725$	−1.07984	−	12.3143i	−0.0401043	−	0.457343i
$726$	−58.7006	+	33.8908i	−2.17858	+	1.25781i
$727$	−5.96800	+	5.00775i	−0.221341	+	0.185727i	−0.746715	−	0.665144i	$-0.768370\pi$
$727$	−5.96800	+	5.00775i	−0.221341	+	0.185727i	0.525374	+	0.850872i	$0.323926\pi$
$728$	4.37929	+	12.0320i	0.162307	+	0.445936i
$729$	−20.5602	+	35.6113i	−0.761488	+	1.31894i
$730$	1.96989	+	0.259141i	0.0729088	+	0.00959123i
$731$	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	$-0.291641\pi$
$733$	39.3185	−	6.93291i	1.45226	−	0.256073i	0.843435	+	0.537231i	$0.180529\pi$
$734$		−	7.45272i		−	0.275085i
$735$	−14.6422	−	7.62038i	−0.540085	−	0.281082i
$736$	−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	$0.299907\pi$
$740$	10.8750	−	8.16911i	0.399773	−	0.300303i
$741$	−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	$-0.959419\pi$
$743$	−4.09772	+	11.2584i	−0.150331	+	0.413030i	0.841554	+	0.540174i	$0.181641\pi$
$744$	4.73544	−	3.97351i	0.173610	−	0.145676i
$745$	3.39783	−	6.52876i	0.124487	−	0.239195i
$746$			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
$750$	4.19631	+	31.8006i	0.153228	+	1.16119i
$751$	−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
$755$	−13.0302	+	11.9423i	−0.474216	+	0.434626i
$756$	2.33870	−	13.2634i	0.0850576	−	0.482386i
$757$	−7.30721	−	6.13148i	−0.265585	−	0.222852i	0.500264	−	0.865873i	$-0.333236\pi$
$757$	−7.30721	−	6.13148i	−0.265585	−	0.222852i	−0.765849	+	0.643021i	$0.777681\pi$
$758$	12.0285	+	4.37801i	0.436894	+	0.159016i
$759$	−19.7903	+	54.3733i	−0.718341	+	1.97363i
$760$	−6.15086	+	1.36426i	−0.223115	+	0.0494868i
$761$	−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
$765$	74.5204	+	23.4880i	2.69429	+	0.849212i
$766$	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	$0.780727\pi$
$770$	24.5578	+	12.7809i	0.885002	+	0.460591i
$771$			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	$-0.415690\pi$
$773$	−20.4112	−	24.3251i	−0.734140	−	0.874914i	−0.995923	+	0.0902128i	$0.971245\pi$
$774$	−8.06958	−	2.93709i	−0.290055	−	0.105571i
$775$	8.82371	−	6.18105i	0.316957	−	0.222030i
$776$	−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
$780$	32.9241	−	20.9796i	1.17887	−	0.751188i
$781$	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
$785$	−8.09128	−	19.5286i	−0.288790	−	0.697004i
$786$	6.63877	+	5.57059i	0.236797	+	0.198696i
$787$	10.4776	−	6.04924i	0.373486	−	0.215632i	−0.301494	−	0.953468i	$-0.597485\pi$
$787$	10.4776	−	6.04924i	0.373486	−	0.215632i	0.674980	+	0.737836i	$0.264152\pi$
$788$	14.4836	+	8.36212i	0.515958	+	0.297888i
$789$	−33.8819	+	12.3320i	−1.20623	+	0.439031i
$790$	0.373017	+	8.52398i	0.0132713	+	0.303269i
$791$	−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
$795$	−32.9516	−	51.7123i	−1.16867	−	1.83405i
$796$	−6.57315	+	18.0596i	−0.232979	+	0.640105i
$797$	−27.3961	−	22.9880i	−0.970419	−	0.814278i	0.0121975	−	0.999926i	$-0.496117\pi$
$797$	−27.3961	−	22.9880i	−0.970419	−	0.814278i	−0.982616	+	0.185647i	$0.940562\pi$
$798$	16.7500	+	2.95347i	0.592943	+	0.104552i
$799$	−65.7411	−	11.5919i	−2.32575	−	0.410093i
$800$	3.53483	−	3.53624i	0.124975	−	0.125025i
$801$	−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
$805$	15.7429	−	3.49175i	0.554863	−	0.123068i
$806$	−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	−0.209868	−	0.977730i	$-0.567303\pi$
$809$	−2.06711	+	0.364486i	−0.0726756	+	0.0128147i	0.137192	+	0.990544i	$0.456192\pi$
$810$	−5.96716	+	0.261128i	−0.209665	+	0.00917511i
$811$	−5.47441	−	1.99252i	−0.192232	−	0.0699669i	0.244110	−	0.969748i	$-0.421504\pi$
$811$	−5.47441	−	1.99252i	−0.192232	−	0.0699669i	−0.436343	+	0.899781i	$0.643726\pi$
$812$	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	0.997155	−	0.0753767i	$-0.0240159\pi$
$821$	0.984391	+	5.58276i	0.0343555	+	0.194840i	−0.962800	+	0.270216i	$0.912905\pi$
$822$	19.1829	−	33.2258i	0.669082	−	1.15888i
$823$	−16.6196	+	19.8065i	−0.579323	+	0.690410i	−0.973516	−	0.228617i	$-0.926579\pi$
$823$	−16.6196	+	19.8065i	−0.579323	+	0.690410i	0.394194	+	0.919027i	$0.371024\pi$
$824$	−1.47062	−	2.54718i	−0.0512313	−	0.0887353i
$825$	21.8308	−	81.5389i	0.760053	−	2.83882i
$826$	12.4528	−	4.53244i	0.433288	−	0.157704i
$827$	3.58350	−	3.00691i	0.124610	−	0.104561i	−0.578353	−	0.815787i	$-0.696304\pi$
$827$	3.58350	−	3.00691i	0.124610	−	0.104561i	0.702963	+	0.711226i	$0.251860\pi$
$828$	−8.96469	−	15.5273i	−0.311545	−	0.539611i
$829$	−50.8001	−	8.95743i	−1.76436	−	0.311104i	−0.804997	−	0.593278i	$-0.797833\pi$
$829$	−50.8001	−	8.95743i	−1.76436	−	0.311104i	−0.959363	+	0.282174i	$0.908945\pi$
$830$	0.172448	+	0.188156i	0.00598576	+	0.00653100i
$831$	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
$835$	−18.1557	+	16.6400i	−0.628304	+	0.575849i
$836$	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	0.676202	−	0.736716i	$-0.263625\pi$
$839$	48.3073	−	17.5824i	1.66775	−	0.607013i	0.991553	+	0.129703i	$0.0414024\pi$
$840$	−12.4700	+	5.16670i	−0.430256	+	0.178268i
$841$	−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	$-0.284300\pi$
$853$	46.9636	−	17.0933i	1.60800	−	0.585265i	0.981043	+	0.193788i	$0.0620773\pi$
$854$	−17.2945	−	6.29470i	−0.591807	−	0.215400i
$855$	−1.44088	−	32.9262i	−0.0492771	−	1.12605i
$856$	−4.19472	+	0.739642i	−0.143373	+	0.0252804i
$857$	−43.7989			−1.49614			−0.748071	−	0.663619i	$-0.769020\pi$
$857$	−43.7989			−1.49614			−0.748071	+	0.663619i	$0.769020\pi$
$858$	−101.176	+	17.8400i	−3.45409	+	0.609049i
$859$	−35.4140	−	20.4463i	−1.20831	−	0.697617i	−0.245919	−	0.969290i	$-0.579090\pi$
$859$	−35.4140	−	20.4463i	−1.20831	−	0.697617i	−0.962390	+	0.271673i	$0.912423\pi$
$860$	0.794856	+	3.58367i	0.0271044	+	0.122202i
$861$	−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	−0.853539	−	0.521028i	$-0.825549\pi$
$863$	−15.7049	−	43.1488i	−0.534601	−	1.46880i	0.318939	−	0.947775i	$-0.396674\pi$
$864$	4.11450	+	4.90347i	0.139978	+	0.166819i
$865$	−21.6406	−	2.84685i	−0.735803	−	0.0967957i
$866$	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
$870$	−8.52321	−	13.3758i	−0.288964	−	0.453483i
$871$	−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
$875$	−22.4330	+	7.08049i	−0.758375	+	0.239364i
$876$	2.39551	−	0.871893i	0.0809366	−	0.0294585i
$877$	40.5136	+	23.3905i	1.36805	+	0.789842i	0.990679	−	0.136221i	$-0.0434956\pi$
$877$	40.5136	+	23.3905i	1.36805	+	0.789842i	0.377369	+	0.926063i	$0.376829\pi$
$878$	−2.71833	+	1.56943i	−0.0917392	+	0.0529657i
$879$	−36.1772	−	30.3563i	−1.22023	−	1.02389i
$880$	−12.1557	+	5.03649i	−0.409770	+	0.169780i
$881$	−4.58962	−	26.0290i	−0.154628	−	0.876940i	−0.959125	−	0.282983i	$-0.908676\pi$
$881$	−4.58962	−	26.0290i	−0.154628	−	0.876940i	0.804497	−	0.593957i	$-0.202435\pi$
$882$	−13.4597			−0.453210
$883$	−4.83462	−	27.4185i	−0.162698	−	0.922705i	−0.951406	−	0.307938i	$-0.900361\pi$
$883$	−4.83462	−	27.4185i	−0.162698	−	0.922705i	0.788709	−	0.614767i	$-0.210750\pi$
$884$	−31.1398	+	26.1294i	−1.04734	+	0.878826i
$885$	−21.7132	−	34.0755i	−0.729882	−	1.14543i
$886$	−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
$890$	−0.101667	+	0.322560i	−0.00340790	+	0.0108122i
$891$	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
$895$	41.6409	+	21.6716i	1.39190	+	0.724401i
$896$	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
$900$	15.0065	+	21.4224i	0.500216	+	0.714079i
$901$	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
$905$	0.883111	+	3.98158i	0.0293556	+	0.132352i
$906$	−7.75629	+	21.3102i	−0.257686	+	0.707985i
$907$	−2.41532	−	0.879106i	−0.0801995	−	0.0291902i	0.301609	−	0.953432i	$-0.402476\pi$
$907$	−2.41532	−	0.879106i	−0.0801995	−	0.0291902i	−0.381808	+	0.924242i	$0.624699\pi$
$908$	11.4489	+	9.60677i	0.379945	+	0.318812i
$909$	−10.3255	+	58.5586i	−0.342474	+	1.94227i
$910$	19.3450	+	21.1071i	0.641279	+	0.699693i
$911$	−40.9722	+	23.6553i	−1.35747	+	0.783735i	−0.989282	−	0.146017i	$-0.953355\pi$
$911$	−40.9722	+	23.6553i	−1.35747	+	0.783735i	−0.368187	+	0.929752i	$0.620021\pi$
$912$	−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
$915$	−7.31899	+	55.6361i	−0.241958	+	1.83927i
$916$	−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	$0.0411429\pi$
$919$			7.81488i			0.257789i	−0.991658	+	0.128895i	$0.958857\pi$
$920$	−3.53818	+	6.79843i	−0.116650	+	0.224138i
$921$	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
$925$	15.4732	−	26.1836i	0.508756	−	0.860910i
$926$	−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	−0.406802	−	0.913517i	$-0.633356\pi$
$929$	12.8683	−	10.7978i	0.422196	−	0.354265i	0.828998	+	0.559252i	$0.188911\pi$
$930$	6.38137	−	12.2615i	0.209253	−	0.402070i
$931$		−	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
$935$	−11.4635	+	87.1408i	−0.374895	+	2.84981i
$936$	15.9170	−	27.5690i	0.520263	−	0.901122i
$937$	−18.2233	−	50.0680i	−0.595328	−	1.63565i	−0.760465	−	0.649379i	$-0.775029\pi$
$937$	−18.2233	−	50.0680i	−0.595328	−	1.63565i	0.165137	−	0.986271i	$-0.447193\pi$
$938$	5.85867	−	4.91601i	0.191292	−	0.160513i
$939$	23.7062	−	13.6868i	0.773624	−	0.446652i
$940$	−15.0986	−	16.4740i	−0.492463	−	0.537321i
$941$	−4.18220	+	23.7185i	−0.136336	+	0.773199i	0.837584	+	0.546308i	$0.183967\pi$
$941$	−4.18220	+	23.7185i	−0.136336	+	0.773199i	−0.973920	+	0.226891i	$0.927144\pi$
$942$	−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
$945$	−6.52110	−	29.4009i	−0.212131	−	0.956412i
$946$	1.67741	−	9.51309i	0.0545374	−	0.309297i
$947$	−4.67975	+	26.5402i	−0.152072	+	0.862441i	0.809343	+	0.587337i	$0.199824\pi$
$947$	−4.67975	+	26.5402i	−0.152072	+	0.862441i	−0.961414	+	0.275104i	$0.911288\pi$
$948$	5.47358	+	9.48053i	0.177774	+	0.307913i
$949$	−3.47574	−	4.14223i	−0.112827	−	0.134462i
$950$	−11.5386	+	8.08284i	−0.374361	+	0.262242i
$951$	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	0.166639	+	0.986018i	$0.446709\pi$
$953$	−25.7257	+	30.6587i	−0.833336	+	0.993131i	−0.999975	+	0.00711327i	$0.997736\pi$
$954$	−43.3015	−	25.0001i	−1.40194	−	0.809408i
$955$	−2.82491	−	1.47020i	−0.0914119	−	0.0475744i
$956$			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
$960$	1.92849	−	6.11853i	0.0622419	−	0.197475i
$961$	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
$965$	−0.805348	−	1.26386i	−0.0259251	−	0.0406852i
$966$	15.8493	−	13.2991i	0.509942	−	0.427892i
$967$	4.48052	+	25.4103i	0.144084	+	0.817140i	0.968098	+	0.250571i	$0.0806185\pi$
$967$	4.48052	+	25.4103i	0.144084	+	0.817140i	−0.824014	+	0.566569i	$0.808270\pi$
$968$	23.6256			0.759356
$969$	9.37653	+	53.1769i	0.301217	+	1.70829i
$970$	−37.4092	+	15.4998i	−1.20114	+	0.497667i
$971$	−34.9754	−	29.3479i	−1.12242	−	0.941818i	−0.123691	−	0.992321i	$-0.539473\pi$
$971$	−34.9754	−	29.3479i	−1.12242	−	0.941818i	−0.998724	+	0.0505024i	$0.983918\pi$
$972$	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
$975$	50.0569	−	71.5191i	1.60310	−	2.29044i
$976$	7.57529	−	4.37360i	0.242479	−	0.139995i
$977$	8.67570	−	49.2023i	0.277560	−	1.57412i	−0.453150	−	0.891434i	$-0.649700\pi$
$977$	8.67570	−	49.2023i	0.277560	−	1.57412i	0.730710	−	0.682687i	$-0.239189\pi$
$978$	64.3336	+	11.3438i	2.05716	+	0.362733i
$979$	0.572083	−	0.681782i	0.0182838	−	0.0217898i
$980$	3.09179	+	4.85207i	0.0987636	+	0.154994i
$981$	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	$-0.475438\pi$
$983$	−6.00341	−	1.05856i	−0.191479	−	0.0337629i	−0.268565	+	0.963262i	$0.586549\pi$
$984$	4.56943	+	0.805713i	0.145668	+	0.0256852i
$985$	37.0771	+	4.87753i	1.18137	+	0.155411i
$986$	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
$990$	−14.9042	−	67.1969i	−0.473687	−	2.13566i
$991$	−32.2883	−	18.6416i	−1.02567	−	0.592171i	−0.109929	−	0.993939i	$-0.535062\pi$
$991$	−32.2883	−	18.6416i	−1.02567	−	0.592171i	−0.915741	+	0.401768i	$0.868396\pi$
$992$	−2.12192	+	0.374152i	−0.0673710	+	0.0118793i
$993$	−34.0708			−1.08120
$994$	−17.2503	+	3.04170i	−0.547147	+	0.0964769i
$995$	1.87879	+	42.9330i	0.0595615	+	1.36107i
$996$	0.307721	+	0.112001i	0.00975052	+	0.00354890i
$997$	−17.8082	+	6.48164i	−0.563990	+	0.205276i	−0.608252	−	0.793744i	$-0.708129\pi$
$997$	−17.8082	+	6.48164i	−0.563990	+	0.205276i	0.0442612	+	0.999020i	$0.485907\pi$
$998$			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.a.289.2	yes	60
5.4	even	2		370.2.v.b.289.9	yes	60
37.21	even	18		370.2.v.b.169.9	yes	60
185.169	even	18	inner	370.2.v.a.169.2	✓	60

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

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.939693 + 0.342020i) q^{2} +(-0.981253 + 2.69597i) q^{3} +(0.766044 - 0.642788i) q^{4} +(1.03230 - 1.98352i) q^{5} -2.86899i q^{6} +(2.07208 - 0.365363i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-4.00726 - 3.36249i) q^{9} +O(q^{10})\)	\(q+(-0.939693 + 0.342020i) q^{2} +(-0.981253 + 2.69597i) q^{3} +(0.766044 - 0.642788i) q^{4} +(1.03230 - 1.98352i) q^{5} -2.86899i q^{6} +(2.07208 - 0.365363i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-4.00726 - 3.36249i) q^{9} +(-0.291644 + 2.21697i) 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} +(4.33456 + 4.72939i) 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} +(-0.484191 - 2.18302i) 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} +(-2.86870 - 4.09519i) 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} +(-5.69070 - 2.96167i) q^{30} +2.15465i q^{31} +(0.173648 + 0.984808i) q^{32} +(10.8516 + 12.9325i) q^{33} +(6.27696 + 2.28463i) q^{34} +(1.41431 - 4.48717i) q^{35} -5.23111 q^{36} +(2.51354 + 5.53914i) q^{37} -2.81760i q^{38} +(5.97143 + 16.4064i) q^{39} +(1.20163 + 1.88576i) q^{40} +(-1.23890 + 1.03956i) q^{41} +(-1.04822 - 5.94477i) q^{42} -1.64162 q^{43} +(-1.02181 - 5.79496i) q^{44} +(-10.8063 + 4.47737i) 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} +(4.09633 + 2.86707i) 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} +(-7.07079 - 11.0965i) 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} +(6.36046 + 0.836725i) 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} +(-2.94656 - 13.2848i) q^{65} +(-14.6204 - 8.44108i) q^{66} +(-3.57966 + 0.631191i) q^{67} -6.67980 q^{68} +(-9.68395 + 1.70754i) q^{69} +(0.205689 + 4.70028i) 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} +(-13.7990 + 5.71733i) 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} +(8.62322 - 7.90331i) 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} +(4.25691 + 4.64467i) 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})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9}+O(q^{10}) \) 60 * q - 3 * q^5 - 30 * q^8 - 6 * q^9	\( 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9} + 9 q^{10} + 6 q^{11} - 3 q^{13} + 9 q^{14} + 18 q^{15} + 3 q^{17} + 12 q^{18} + 3 q^{19} - 6 q^{20} + 12 q^{21} - 3 q^{22} - 18 q^{23} - 15 q^{25} - 27 q^{26} + 6 q^{30} - 66 q^{33} + 21 q^{34} - 3 q^{35} - 72 q^{36} + 6 q^{37} + 12 q^{39} + 6 q^{40} - 57 q^{41} + 12 q^{42} + 60 q^{43} - 3 q^{44} + 45 q^{45} - 21 q^{46} - 18 q^{47} - 6 q^{49} + 36 q^{50} - 3 q^{52} - 6 q^{53} + 3 q^{55} + 30 q^{57} + 15 q^{58} - 12 q^{59} + 9 q^{60} + 42 q^{61} - 12 q^{62} - 9 q^{63} - 30 q^{64} - 30 q^{65} - 18 q^{67} - 24 q^{68} + 36 q^{69} + 18 q^{71} + 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} + 21 q^{77} + 6 q^{78} - 24 q^{79} - 36 q^{81} + 27 q^{82} + 30 q^{83} + 12 q^{84} + 33 q^{85} - 18 q^{86} - 30 q^{87} + 6 q^{88} + 3 q^{89} - 3 q^{90} + 57 q^{91} + 15 q^{92} + 60 q^{93} + 3 q^{94} - 150 q^{95} + 84 q^{97} - 6 q^{98} - 45 q^{99}+O(q^{100}) \) 60 * q - 3 * q^5 - 30 * q^8 - 6 * q^9 + 9 * q^10 + 6 * q^11 - 3 * q^13 + 9 * q^14 + 18 * q^15 + 3 * q^17 + 12 * q^18 + 3 * q^19 - 6 * q^20 + 12 * q^21 - 3 * q^22 - 18 * q^23 - 15 * q^25 - 27 * q^26 + 6 * q^30 - 66 * q^33 + 21 * q^34 - 3 * q^35 - 72 * q^36 + 6 * q^37 + 12 * q^39 + 6 * q^40 - 57 * q^41 + 12 * q^42 + 60 * q^43 - 3 * q^44 + 45 * q^45 - 21 * q^46 - 18 * q^47 - 6 * q^49 + 36 * q^50 - 3 * q^52 - 6 * q^53 + 3 * q^55 + 30 * q^57 + 15 * q^58 - 12 * q^59 + 9 * q^60 + 42 * q^61 - 12 * q^62 - 9 * q^63 - 30 * q^64 - 30 * q^65 - 18 * q^67 - 24 * q^68 + 36 * q^69 + 18 * q^71 + 12 * q^72 + 3 * q^74 - 78 * q^75 - 3 * q^76 + 21 * q^77 + 6 * q^78 - 24 * q^79 - 36 * q^81 + 27 * q^82 + 30 * q^83 + 12 * q^84 + 33 * q^85 - 18 * q^86 - 30 * q^87 + 6 * q^88 + 3 * q^89 - 3 * q^90 + 57 * q^91 + 15 * q^92 + 60 * q^93 + 3 * q^94 - 150 * q^95 + 84 * q^97 - 6 * q^98 - 45 * q^99

Introduction

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