LMFDB - Embedded newform 210.2.t.d.89.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [210,2,Mod(59,210)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(210, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 1]))

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

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

chi := DirichletCharacter("210.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 210 = 2 \cdot 3 \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	210.t (of order $6$, degree $2$, 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:	$1.67685844245$
Analytic rank:	$0$
Dimension:	$4$
Relative dimension:	$2$ over $\Q(\zeta_{6})$
Coefficient field:	$\Q(\sqrt{-3}, \sqrt{-11})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{4} - x^{3} - 2x^{2} - 3x + 9 $ x^4 - x^3 - 2x^2 - 3x + 9
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			89.2
Root			$1.68614 - 0.396143i$ of defining polynomial
Character	$\chi$	$=$	210.89
Dual form			210.2.t.d.59.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.500000 - 0.866025i) q^{2} +(0.500000 + 1.65831i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.686141 + 2.12819i) q^{5} +(1.68614 + 0.396143i) q^{6} +(2.50000 + 0.866025i) q^{7} -1.00000 q^{8} +(-2.50000 + 1.65831i) q^{9} +O(q^{10})$	\(q+(0.500000 - 0.866025i) q^{2} +(0.500000 + 1.65831i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.686141 + 2.12819i) q^{5} +(1.68614 + 0.396143i) q^{6} +(2.50000 + 0.866025i) q^{7} -1.00000 q^{8} +(-2.50000 + 1.65831i) q^{9} +(1.50000 + 1.65831i) q^{10} +(-0.813859 + 0.469882i) q^{11} +(1.18614 - 1.26217i) q^{12} +2.00000 q^{13} +(2.00000 - 1.73205i) q^{14} +(-3.87228 - 0.0737384i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(5.74456 - 3.31662i) q^{17} +(0.186141 + 2.99422i) q^{18} +(-3.00000 - 1.73205i) q^{19} +(2.18614 - 0.469882i) q^{20} +(-0.186141 + 4.57879i) q^{21} +0.939764i q^{22} +(-0.686141 + 1.18843i) q^{23} +(-0.500000 - 1.65831i) q^{24} +(-4.05842 - 2.92048i) q^{25} +(1.00000 - 1.73205i) q^{26} +(-4.00000 - 3.31662i) q^{27} +(-0.500000 - 2.59808i) q^{28} -3.31662i q^{29} +(-2.00000 + 3.31662i) q^{30} +(6.55842 - 3.78651i) q^{31} +(0.500000 + 0.866025i) q^{32} +(-1.18614 - 1.11469i) q^{33} -6.63325i q^{34} +(-3.55842 + 4.72627i) q^{35} +(2.68614 + 1.33591i) q^{36} +(-7.11684 - 4.10891i) q^{37} +(-3.00000 + 1.73205i) q^{38} +(1.00000 + 3.31662i) q^{39} +(0.686141 - 2.12819i) q^{40} -7.37228 q^{41} +(3.87228 + 2.45060i) q^{42} -1.08724i q^{43} +(0.813859 + 0.469882i) q^{44} +(-1.81386 - 6.45832i) q^{45} +(0.686141 + 1.18843i) q^{46} +(7.37228 + 4.25639i) q^{47} +(-1.68614 - 0.396143i) q^{48} +(5.50000 + 4.33013i) q^{49} +(-4.55842 + 2.05446i) q^{50} +(8.37228 + 7.86797i) q^{51} +(-1.00000 - 1.73205i) q^{52} +(-2.18614 - 3.78651i) q^{53} +(-4.87228 + 1.80579i) q^{54} +(-0.441578 - 2.05446i) q^{55} +(-2.50000 - 0.866025i) q^{56} +(1.37228 - 5.84096i) q^{57} +(-2.87228 - 1.65831i) q^{58} +(6.55842 + 11.3595i) q^{59} +(1.87228 + 3.39036i) q^{60} +(-11.0584 - 6.38458i) q^{61} -7.57301i q^{62} +(-7.68614 + 1.98072i) q^{63} +1.00000 q^{64} +(-1.37228 + 4.25639i) q^{65} +(-1.55842 + 0.469882i) q^{66} +(2.05842 - 1.18843i) q^{67} +(-5.74456 - 3.31662i) q^{68} +(-2.31386 - 0.543620i) q^{69} +(2.31386 + 5.44482i) q^{70} -8.51278i q^{71} +(2.50000 - 1.65831i) q^{72} +(-1.00000 - 1.73205i) q^{73} +(-7.11684 + 4.10891i) q^{74} +(2.81386 - 8.19037i) q^{75} +3.46410i q^{76} +(-2.44158 + 0.469882i) q^{77} +(3.37228 + 0.792287i) q^{78} +(-4.55842 + 7.89542i) q^{79} +(-1.50000 - 1.65831i) q^{80} +(3.50000 - 8.29156i) q^{81} +(-3.68614 + 6.38458i) q^{82} +11.8294i q^{83} +(4.05842 - 2.12819i) q^{84} +(3.11684 + 14.5012i) q^{85} +(-0.941578 - 0.543620i) q^{86} +(5.50000 - 1.65831i) q^{87} +(0.813859 - 0.469882i) q^{88} +(0.686141 - 1.18843i) q^{89} +(-6.50000 - 1.65831i) q^{90} +(5.00000 + 1.73205i) q^{91} +1.37228 q^{92} +(9.55842 + 8.98266i) q^{93} +(7.37228 - 4.25639i) q^{94} +(5.74456 - 5.19615i) q^{95} +(-1.18614 + 1.26217i) q^{96} +15.1168 q^{97} +(6.50000 - 2.59808i) q^{98} +(1.25544 - 2.52434i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 4 q + 2 q^{2} + 2 q^{3} - 2 q^{4} + 3 q^{5} + q^{6} + 10 q^{7} - 4 q^{8} - 10 q^{9}+O(q^{10}) $ 4 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 + 3 * q^5 + q^6 + 10 * q^7 - 4 * q^8 - 10 * q^9	$ 4 q + 2 q^{2} + 2 q^{3} - 2 q^{4} + 3 q^{5} + q^{6} + 10 q^{7} - 4 q^{8} - 10 q^{9} + 6 q^{10} - 9 q^{11} - q^{12} + 8 q^{13} + 8 q^{14} - 4 q^{15} - 2 q^{16} - 5 q^{18} - 12 q^{19} + 3 q^{20} + 5 q^{21} + 3 q^{23} - 2 q^{24} + q^{25} + 4 q^{26} - 16 q^{27} - 2 q^{28} - 8 q^{30} + 9 q^{31} + 2 q^{32} + q^{33} + 3 q^{35} + 5 q^{36} + 6 q^{37} - 12 q^{38} + 4 q^{39} - 3 q^{40} - 18 q^{41} + 4 q^{42} + 9 q^{44} - 13 q^{45} - 3 q^{46} + 18 q^{47} - q^{48} + 22 q^{49} - q^{50} + 22 q^{51} - 4 q^{52} - 3 q^{53} - 8 q^{54} - 19 q^{55} - 10 q^{56} - 6 q^{57} + 9 q^{59} - 4 q^{60} - 27 q^{61} - 25 q^{63} + 4 q^{64} + 6 q^{65} + 11 q^{66} - 9 q^{67} - 15 q^{69} + 15 q^{70} + 10 q^{72} - 4 q^{73} + 6 q^{74} + 17 q^{75} - 27 q^{77} + 2 q^{78} - q^{79} - 6 q^{80} + 14 q^{81} - 9 q^{82} - q^{84} - 22 q^{85} - 21 q^{86} + 22 q^{87} + 9 q^{88} - 3 q^{89} - 26 q^{90} + 20 q^{91} - 6 q^{92} + 21 q^{93} + 18 q^{94} + q^{96} + 26 q^{97} + 26 q^{98} + 28 q^{99}+O(q^{100}) $ 4 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 + 3 * q^5 + q^6 + 10 * q^7 - 4 * q^8 - 10 * q^9 + 6 * q^10 - 9 * q^11 - q^12 + 8 * q^13 + 8 * q^14 - 4 * q^15 - 2 * q^16 - 5 * q^18 - 12 * q^19 + 3 * q^20 + 5 * q^21 + 3 * q^23 - 2 * q^24 + q^25 + 4 * q^26 - 16 * q^27 - 2 * q^28 - 8 * q^30 + 9 * q^31 + 2 * q^32 + q^33 + 3 * q^35 + 5 * q^36 + 6 * q^37 - 12 * q^38 + 4 * q^39 - 3 * q^40 - 18 * q^41 + 4 * q^42 + 9 * q^44 - 13 * q^45 - 3 * q^46 + 18 * q^47 - q^48 + 22 * q^49 - q^50 + 22 * q^51 - 4 * q^52 - 3 * q^53 - 8 * q^54 - 19 * q^55 - 10 * q^56 - 6 * q^57 + 9 * q^59 - 4 * q^60 - 27 * q^61 - 25 * q^63 + 4 * q^64 + 6 * q^65 + 11 * q^66 - 9 * q^67 - 15 * q^69 + 15 * q^70 + 10 * q^72 - 4 * q^73 + 6 * q^74 + 17 * q^75 - 27 * q^77 + 2 * q^78 - q^79 - 6 * q^80 + 14 * q^81 - 9 * q^82 - q^84 - 22 * q^85 - 21 * q^86 + 22 * q^87 + 9 * q^88 - 3 * q^89 - 26 * q^90 + 20 * q^91 - 6 * q^92 + 21 * q^93 + 18 * q^94 + q^96 + 26 * q^97 + 26 * q^98 + 28 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/210\mathbb{Z}\right)^\times$.

$n$	$31$	$71$	$127$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$-1$	$-1$

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 $

$2$	0.500000	−	0.866025i	0.353553	−	0.612372i
$2$	0.500000	−	0.866025i	0.353553	−	0.612372i
$3$	0.500000	+	1.65831i	0.288675	+	0.957427i
$3$	0.500000	+	1.65831i	0.288675	+	0.957427i
$4$	−0.500000	−	0.866025i	−0.250000	−	0.433013i
$5$	−0.686141	+	2.12819i	−0.306851	+	0.951757i
$5$	−0.686141	+	2.12819i	−0.306851	+	0.951757i
$6$	1.68614	+	0.396143i	0.688364	+	0.161725i
$7$	2.50000	+	0.866025i	0.944911	+	0.327327i
$7$	2.50000	+	0.866025i	0.944911	+	0.327327i
$8$	−1.00000			−0.353553
$9$	−2.50000	+	1.65831i	−0.833333	+	0.552771i
$10$	1.50000	+	1.65831i	0.474342	+	0.524404i
$11$	−0.813859	+	0.469882i	−0.245388	+	0.141675i	−0.617651	−	0.786453i	$-0.711915\pi$
$11$	−0.813859	+	0.469882i	−0.245388	+	0.141675i	0.372263	+	0.928127i	$0.378582\pi$
$12$	1.18614	−	1.26217i	0.342409	−	0.364357i
$13$	2.00000			0.554700			0.277350	−	0.960769i	$-0.410544\pi$
$13$	2.00000			0.554700			0.277350	+	0.960769i	$0.410544\pi$
$14$	2.00000	−	1.73205i	0.534522	−	0.462910i
$15$	−3.87228	−	0.0737384i	−0.999819	−	0.0190392i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	5.74456	−	3.31662i	1.39326	−	0.804400i	0.399586	−	0.916696i	$-0.369154\pi$
$17$	5.74456	−	3.31662i	1.39326	−	0.804400i	0.993675	+	0.112296i	$0.0358205\pi$
$18$	0.186141	+	2.99422i	0.0438738	+	0.705744i
$19$	−3.00000	−	1.73205i	−0.688247	−	0.397360i	0.114708	−	0.993399i	$-0.463407\pi$
$19$	−3.00000	−	1.73205i	−0.688247	−	0.397360i	−0.802955	+	0.596040i	$0.796740\pi$
$20$	2.18614	−	0.469882i	0.488836	−	0.105069i
$21$	−0.186141	+	4.57879i	−0.0406192	+	0.999175i
$22$			0.939764i			0.200358i
$23$	−0.686141	+	1.18843i	−0.143070	+	0.247805i	−0.928651	−	0.370954i	$-0.879031\pi$
$23$	−0.686141	+	1.18843i	−0.143070	+	0.247805i	0.785581	+	0.618759i	$0.212364\pi$
$24$	−0.500000	−	1.65831i	−0.102062	−	0.338502i
$25$	−4.05842	−	2.92048i	−0.811684	−	0.584096i
$26$	1.00000	−	1.73205i	0.196116	−	0.339683i
$27$	−4.00000	−	3.31662i	−0.769800	−	0.638285i
$28$	−0.500000	−	2.59808i	−0.0944911	−	0.490990i
$29$		−	3.31662i		−	0.615882i	−0.951405	−	0.307941i	$-0.900360\pi$
$29$		−	3.31662i		−	0.615882i	0.951405	−	0.307941i	$-0.0996399\pi$
$30$	−2.00000	+	3.31662i	−0.365148	+	0.605530i
$31$	6.55842	−	3.78651i	1.17793	−	0.680077i	0.222393	−	0.974957i	$-0.428613\pi$
$31$	6.55842	−	3.78651i	1.17793	−	0.680077i	0.955534	+	0.294880i	$0.0952798\pi$
$32$	0.500000	+	0.866025i	0.0883883	+	0.153093i
$33$	−1.18614	−	1.11469i	−0.206481	−	0.194043i
$34$		−	6.63325i		−	1.13759i
$35$	−3.55842	+	4.72627i	−0.601483	+	0.798886i
$36$	2.68614	+	1.33591i	0.447690	+	0.222651i
$37$	−7.11684	−	4.10891i	−1.17000	−	0.675501i	−0.216321	−	0.976322i	$-0.569406\pi$
$37$	−7.11684	−	4.10891i	−1.17000	−	0.675501i	−0.953681	+	0.300821i	$0.902739\pi$
$38$	−3.00000	+	1.73205i	−0.486664	+	0.280976i
$39$	1.00000	+	3.31662i	0.160128	+	0.531085i
$40$	0.686141	−	2.12819i	0.108488	−	0.336497i
$41$	−7.37228			−1.15136			−0.575678	−	0.817676i	$-0.695262\pi$
$41$	−7.37228			−1.15136			−0.575678	+	0.817676i	$0.695262\pi$
$42$	3.87228	+	2.45060i	0.597506	+	0.378136i
$43$		−	1.08724i		−	0.165803i	−0.996558	−	0.0829013i	$-0.973581\pi$
$43$		−	1.08724i		−	0.165803i	0.996558	−	0.0829013i	$-0.0264186\pi$
$44$	0.813859	+	0.469882i	0.122694	+	0.0708374i
$45$	−1.81386	−	6.45832i	−0.270394	−	0.962750i
$46$	0.686141	+	1.18843i	0.101166	+	0.175225i
$47$	7.37228	+	4.25639i	1.07536	+	0.620858i	0.929640	−	0.368468i	$-0.120118\pi$
$47$	7.37228	+	4.25639i	1.07536	+	0.620858i	0.145717	+	0.989326i	$0.453451\pi$
$48$	−1.68614	−	0.396143i	−0.243373	−	0.0571784i
$49$	5.50000	+	4.33013i	0.785714	+	0.618590i
$50$	−4.55842	+	2.05446i	−0.644658	+	0.290544i
$51$	8.37228	+	7.86797i	1.17235	+	1.10174i
$52$	−1.00000	−	1.73205i	−0.138675	−	0.240192i
$53$	−2.18614	−	3.78651i	−0.300290	−	0.520117i	0.675912	−	0.736982i	$-0.263750\pi$
$53$	−2.18614	−	3.78651i	−0.300290	−	0.520117i	−0.976201	+	0.216866i	$0.930417\pi$
$54$	−4.87228	+	1.80579i	−0.663034	+	0.245737i
$55$	−0.441578	−	2.05446i	−0.0595424	−	0.277023i
$56$	−2.50000	−	0.866025i	−0.334077	−	0.115728i
$57$	1.37228	−	5.84096i	0.181763	−	0.773654i
$58$	−2.87228	−	1.65831i	−0.377149	−	0.217747i
$59$	6.55842	+	11.3595i	0.853834	+	1.47888i	0.877723	+	0.479169i	$0.159062\pi$
$59$	6.55842	+	11.3595i	0.853834	+	1.47888i	−0.0238889	+	0.999715i	$0.507605\pi$
$60$	1.87228	+	3.39036i	0.241710	+	0.437694i
$61$	−11.0584	−	6.38458i	−1.41589	−	0.817462i	−0.419952	−	0.907546i	$-0.637953\pi$
$61$	−11.0584	−	6.38458i	−1.41589	−	0.817462i	−0.995934	+	0.0900844i	$0.971286\pi$
$62$		−	7.57301i		−	0.961774i
$63$	−7.68614	+	1.98072i	−0.968363	+	0.249547i
$64$	1.00000			0.125000
$65$	−1.37228	+	4.25639i	−0.170211	+	0.527940i
$66$	−1.55842	+	0.469882i	−0.191828	+	0.0578385i
$67$	2.05842	−	1.18843i	0.251476	−	0.145190i	−0.368964	−	0.929444i	$-0.620287\pi$
$67$	2.05842	−	1.18843i	0.251476	−	0.145190i	0.620440	+	0.784254i	$0.286954\pi$
$68$	−5.74456	−	3.31662i	−0.696631	−	0.402200i
$69$	−2.31386	−	0.543620i	−0.278556	−	0.0654442i
$70$	2.31386	+	5.44482i	0.276559	+	0.650780i
$71$		−	8.51278i		−	1.01028i	−0.863037	−	0.505140i	$-0.831441\pi$
$71$		−	8.51278i		−	1.01028i	0.863037	−	0.505140i	$-0.168559\pi$
$72$	2.50000	−	1.65831i	0.294628	−	0.195434i
$73$	−1.00000	−	1.73205i	−0.117041	−	0.202721i	0.801553	−	0.597924i	$-0.204008\pi$
$73$	−1.00000	−	1.73205i	−0.117041	−	0.202721i	−0.918594	+	0.395203i	$0.870674\pi$
$74$	−7.11684	+	4.10891i	−0.827316	+	0.477651i
$75$	2.81386	−	8.19037i	0.324916	−	0.945743i
$76$			3.46410i			0.397360i
$77$	−2.44158	+	0.469882i	−0.278244	+	0.0535480i
$78$	3.37228	+	0.792287i	0.381836	+	0.0897088i
$79$	−4.55842	+	7.89542i	−0.512863	+	0.888304i	0.487026	+	0.873387i	$0.338082\pi$
$79$	−4.55842	+	7.89542i	−0.512863	+	0.888304i	−0.999889	+	0.0149166i	$0.995252\pi$
$80$	−1.50000	−	1.65831i	−0.167705	−	0.185405i
$81$	3.50000	−	8.29156i	0.388889	−	0.921285i
$82$	−3.68614	+	6.38458i	−0.407066	+	0.705059i
$83$			11.8294i			1.29845i	0.760598	+	0.649223i	$0.224906\pi$
$83$			11.8294i			1.29845i	−0.760598	+	0.649223i	$0.775094\pi$
$84$	4.05842	−	2.12819i	0.442810	−	0.232205i
$85$	3.11684	+	14.5012i	0.338069	+	1.57288i
$86$	−0.941578	−	0.543620i	−0.101533	−	0.0586201i
$87$	5.50000	−	1.65831i	0.589662	−	0.177790i
$88$	0.813859	−	0.469882i	0.0867577	−	0.0500896i
$89$	0.686141	−	1.18843i	0.0727308	−	0.125973i	−0.827366	−	0.561662i	$-0.810162\pi$
$89$	0.686141	−	1.18843i	0.0727308	−	0.125973i	0.900097	+	0.435689i	$0.143495\pi$
$90$	−6.50000	−	1.65831i	−0.685160	−	0.174801i
$91$	5.00000	+	1.73205i	0.524142	+	0.181568i
$92$	1.37228			0.143070
$93$	9.55842	+	8.98266i	0.991162	+	0.931458i
$94$	7.37228	−	4.25639i	0.760393	−	0.439013i
$95$	5.74456	−	5.19615i	0.589380	−	0.533114i
$96$	−1.18614	+	1.26217i	−0.121060	+	0.128820i
$97$	15.1168			1.53488			0.767441	−	0.641119i	$-0.221530\pi$
$97$	15.1168			1.53488			0.767441	+	0.641119i	$0.221530\pi$
$98$	6.50000	−	2.59808i	0.656599	−	0.262445i
$99$	1.25544	−	2.52434i	0.126176	−	0.253705i
$100$	−0.500000	+	4.97494i	−0.0500000	+	0.497494i
$101$	−5.31386	−	9.20387i	−0.528749	−	0.915820i	−0.999438	−	0.0335207i	$-0.989328\pi$
$101$	−5.31386	−	9.20387i	−0.528749	−	0.915820i	0.470689	−	0.882299i	$-0.344005\pi$
$102$	11.0000	−	3.31662i	1.08916	−	0.328395i
$103$	1.05842	−	1.83324i	0.104289	−	0.180635i	−0.809158	−	0.587591i	$-0.800077\pi$
$103$	1.05842	−	1.83324i	0.104289	−	0.180635i	0.913448	+	0.406956i	$0.133410\pi$
$104$	−2.00000			−0.196116
$105$	−9.61684	−	3.53784i	−0.938508	−	0.345258i
$106$	−4.37228			−0.424674
$107$	3.12772	−	5.41737i	0.302368	−	0.523717i	−0.674304	−	0.738454i	$-0.735556\pi$
$107$	3.12772	−	5.41737i	0.302368	−	0.523717i	0.976672	+	0.214737i	$0.0688895\pi$
$108$	−0.872281	+	5.12241i	−0.0839353	+	0.492905i
$109$	4.05842	+	7.02939i	0.388726	+	0.673294i	0.992278	−	0.124030i	$-0.0395818\pi$
$109$	4.05842	+	7.02939i	0.388726	+	0.673294i	−0.603552	+	0.797324i	$0.706248\pi$
$110$	−2.00000	−	0.644810i	−0.190693	−	0.0614802i
$111$	3.25544	−	13.8564i	0.308992	−	1.31519i
$112$	−2.00000	+	1.73205i	−0.188982	+	0.163663i
$113$	14.7446			1.38705			0.693526	−	0.720432i	$-0.256056\pi$
$113$	14.7446			1.38705			0.693526	+	0.720432i	$0.256056\pi$
$114$	−4.37228	−	4.10891i	−0.409502	−	0.384835i
$115$	−2.05842	−	2.27567i	−0.191949	−	0.212207i
$116$	−2.87228	+	1.65831i	−0.266685	+	0.153970i
$117$	−5.00000	+	3.31662i	−0.462250	+	0.306622i
$118$	13.1168			1.20750
$119$	17.2337	−	3.31662i	1.57981	−	0.304034i
$120$	3.87228	+	0.0737384i	0.353489	+	0.00673137i
$121$	−5.05842	+	8.76144i	−0.459857	+	0.796495i
$122$	−11.0584	+	6.38458i	−1.00118	+	0.578033i
$123$	−3.68614	−	12.2255i	−0.332368	−	1.10234i
$124$	−6.55842	−	3.78651i	−0.588964	−	0.340038i
$125$	9.00000	−	6.63325i	0.804984	−	0.593296i
$126$	−2.12772	+	7.64675i	−0.189552	+	0.681227i
$127$			7.57301i			0.671996i	0.941863	+	0.335998i	$0.109074\pi$
$127$			7.57301i			0.671996i	−0.941863	+	0.335998i	$0.890926\pi$
$128$	0.500000	−	0.866025i	0.0441942	−	0.0765466i
$129$	1.80298	−	0.543620i	0.158744	−	0.0478631i
$130$	3.00000	+	3.31662i	0.263117	+	0.290887i
$131$	−5.18614	+	8.98266i	−0.453115	+	0.784819i	−0.998578	−	0.0533167i	$-0.983021\pi$
$131$	−5.18614	+	8.98266i	−0.453115	+	0.784819i	0.545462	+	0.838135i	$0.316354\pi$
$132$	−0.372281	+	1.58457i	−0.0324029	+	0.137919i
$133$	−6.00000	−	6.92820i	−0.520266	−	0.600751i
$134$		−	2.37686i		−	0.205330i
$135$	9.80298	−	6.23711i	0.843707	−	0.536805i
$136$	−5.74456	+	3.31662i	−0.492592	+	0.284398i
$137$	−4.37228	−	7.57301i	−0.373549	−	0.647006i	0.616560	−	0.787308i	$-0.288526\pi$
$137$	−4.37228	−	7.57301i	−0.373549	−	0.647006i	−0.990109	+	0.140302i	$0.955193\pi$
$138$	−1.62772	+	1.73205i	−0.138561	+	0.147442i
$139$			8.21782i			0.697027i	0.937304	+	0.348513i	$0.113313\pi$
$139$			8.21782i			0.697027i	−0.937304	+	0.348513i	$0.886687\pi$
$140$	5.87228	+	0.718549i	0.496298	+	0.0607284i
$141$	−3.37228	+	14.3537i	−0.283997	+	1.20880i
$142$	−7.37228	−	4.25639i	−0.618668	−	0.357188i
$143$	−1.62772	+	0.939764i	−0.136117	+	0.0785870i
$144$	−0.186141	−	2.99422i	−0.0155117	−	0.249518i
$145$	7.05842	+	2.27567i	0.586170	+	0.188984i
$146$	−2.00000			−0.165521
$147$	−4.43070	+	11.2858i	−0.365438	+	0.930836i
$148$			8.21782i			0.675501i
$149$	−7.80298	−	4.50506i	−0.639245	−	0.369069i	0.145078	−	0.989420i	$-0.453657\pi$
$149$	−7.80298	−	4.50506i	−0.639245	−	0.369069i	−0.784324	+	0.620352i	$0.786990\pi$
$150$	−5.68614	−	6.53206i	−0.464271	−	0.533340i
$151$	−4.55842	−	7.89542i	−0.370959	−	0.642520i	0.618754	−	0.785585i	$-0.287638\pi$
$151$	−4.55842	−	7.89542i	−0.370959	−	0.642520i	−0.989713	+	0.143065i	$0.954304\pi$
$152$	3.00000	+	1.73205i	0.243332	+	0.140488i
$153$	−8.86141	+	17.8178i	−0.716402	+	1.44049i
$154$	−0.813859	+	2.34941i	−0.0655827	+	0.189321i
$155$	3.55842	+	16.5557i	0.285819	+	1.32978i
$156$	2.37228	−	2.52434i	0.189935	−	0.202109i
$157$	−4.00000	−	6.92820i	−0.319235	−	0.552931i	0.661094	−	0.750303i	$-0.270093\pi$
$157$	−4.00000	−	6.92820i	−0.319235	−	0.552931i	−0.980329	+	0.197372i	$0.936759\pi$
$158$	4.55842	+	7.89542i	0.362649	+	0.628126i
$159$	5.18614	−	5.51856i	0.411288	−	0.437650i
$160$	−2.18614	+	0.469882i	−0.172830	+	0.0371474i
$161$	−2.74456	+	2.37686i	−0.216302	+	0.187323i
$162$	−5.43070	−	7.17687i	−0.426676	−	0.563868i
$163$	−3.00000	−	1.73205i	−0.234978	−	0.135665i	0.377888	−	0.925851i	$-0.376650\pi$
$163$	−3.00000	−	1.73205i	−0.234978	−	0.135665i	−0.612866	+	0.790186i	$0.709984\pi$
$164$	3.68614	+	6.38458i	0.287839	+	0.498552i
$165$	3.18614	−	1.75950i	0.248041	−	0.136977i
$166$	10.2446	+	5.91470i	0.795132	+	0.459070i
$167$			14.6487i			1.13355i	0.823873	+	0.566775i	$0.191809\pi$
$167$			14.6487i			1.13355i	−0.823873	+	0.566775i	$0.808191\pi$
$168$	0.186141	−	4.57879i	0.0143611	−	0.353262i
$169$	−9.00000			−0.692308
$170$	14.1168	+	4.55134i	1.08271	+	0.349072i
$171$	10.3723	−	0.644810i	0.793188	−	0.0493099i
$172$	−0.941578	+	0.543620i	−0.0717947	+	0.0414507i
$173$	−14.7446	−	8.51278i	−1.12101	−	0.647214i	−0.179350	−	0.983785i	$-0.557400\pi$
$173$	−14.7446	−	8.51278i	−1.12101	−	0.647214i	−0.941658	+	0.336571i	$0.890733\pi$
$174$	1.31386	−	5.59230i	0.0996034	−	0.423951i
$175$	−7.61684	−	10.8159i	−0.575779	−	0.817605i
$176$		−	0.939764i		−	0.0708374i
$177$	−15.5584	+	16.5557i	−1.16944	+	1.24440i
$178$	−0.686141	−	1.18843i	−0.0514284	−	0.0890766i
$179$	−20.4891	+	11.8294i	−1.53143	+	0.884171i	−0.532133	+	0.846661i	$0.678609\pi$
$179$	−20.4891	+	11.8294i	−1.53143	+	0.884171i	−0.999296	+	0.0375102i	$0.988057\pi$
$180$	−4.68614	+	4.80001i	−0.349284	+	0.357772i
$181$			8.01544i			0.595783i	0.954600	+	0.297892i	$0.0962834\pi$
$181$			8.01544i			0.595783i	−0.954600	+	0.297892i	$0.903717\pi$
$182$	4.00000	−	3.46410i	0.296500	−	0.256776i
$183$	5.05842	−	21.5306i	0.373929	−	1.59159i
$184$	0.686141	−	1.18843i	0.0505830	−	0.0876123i
$185$	13.6277	−	12.3267i	1.00193	−	0.906280i
$186$	12.5584	−	3.78651i	0.920828	−	0.277640i
$187$	−3.11684	+	5.39853i	−0.227926	+	0.394780i
$188$		−	8.51278i		−	0.620858i
$189$	−7.12772	−	11.7557i	−0.518465	−	0.855099i
$190$	−1.62772	−	7.57301i	−0.118087	−	0.549404i
$191$	−14.7446	−	8.51278i	−1.06688	−	0.615963i	−0.139552	−	0.990215i	$-0.544566\pi$
$191$	−14.7446	−	8.51278i	−1.06688	−	0.615963i	−0.927327	+	0.374252i	$0.877900\pi$
$192$	0.500000	+	1.65831i	0.0360844	+	0.119678i
$193$	−15.5584	+	8.98266i	−1.11992	+	0.646586i	−0.941380	−	0.337347i	$-0.890470\pi$
$193$	−15.5584	+	8.98266i	−1.11992	+	0.646586i	−0.178539	+	0.983933i	$0.557137\pi$
$194$	7.55842	−	13.0916i	0.542663	−	0.939920i
$195$	−7.74456	−	0.147477i	−0.554600	−	0.0105610i
$196$	1.00000	−	6.92820i	0.0714286	−	0.494872i
$197$	−14.2337			−1.01411			−0.507054	−	0.861914i	$-0.669266\pi$
$197$	−14.2337			−1.01411			−0.507054	+	0.861914i	$0.669266\pi$
$198$	−1.55842	−	2.34941i	−0.110752	−	0.166965i
$199$	1.11684	−	0.644810i	0.0791710	−	0.0457094i	−0.459892	−	0.887975i	$-0.652112\pi$
$199$	1.11684	−	0.644810i	0.0791710	−	0.0457094i	0.539063	+	0.842266i	$0.318779\pi$
$200$	4.05842	+	2.92048i	0.286974	+	0.206509i
$201$	3.00000	+	2.81929i	0.211604	+	0.198857i
$202$	−10.6277			−0.747764
$203$	2.87228	−	8.29156i	0.201595	−	0.581954i
$204$	2.62772	−	11.1846i	0.183977	−	0.783078i
$205$	5.05842	−	15.6896i	0.353296	−	1.09581i
$206$	−1.05842	−	1.83324i	−0.0737438	−	0.127728i
$207$	−0.255437	−	4.10891i	−0.0177541	−	0.285589i
$208$	−1.00000	+	1.73205i	−0.0693375	+	0.120096i
$209$	3.25544			0.225183
$210$	−7.87228	+	6.55951i	−0.543239	+	0.452649i
$211$	16.2337			1.11757			0.558787	−	0.829311i	$-0.311267\pi$
$211$	16.2337			1.11757			0.558787	+	0.829311i	$0.311267\pi$
$212$	−2.18614	+	3.78651i	−0.150145	+	0.260058i
$213$	14.1168	−	4.25639i	0.967270	−	0.291643i
$214$	−3.12772	−	5.41737i	−0.213806	−	0.370324i
$215$	2.31386	+	0.746000i	0.157804	+	0.0508768i
$216$	4.00000	+	3.31662i	0.272166	+	0.225668i
$217$	19.6753	−	3.78651i	1.33564	−	0.257045i
$218$	8.11684			0.549742
$219$	2.37228	−	2.52434i	0.160304	−	0.170579i
$220$	−1.55842	+	1.40965i	−0.105069	+	0.0950383i
$221$	11.4891	−	6.63325i	0.772842	−	0.446201i
$222$	−10.3723	−	9.74749i	−0.696142	−	0.654209i
$223$	0.883156			0.0591405			0.0295703	−	0.999563i	$-0.490586\pi$
$223$	0.883156			0.0591405			0.0295703	+	0.999563i	$0.490586\pi$
$224$	0.500000	+	2.59808i	0.0334077	+	0.173591i
$225$	14.9891	+	0.571072i	0.999275	+	0.0380715i
$226$	7.37228	−	12.7692i	0.490397	−	0.849392i
$227$	−18.0475	+	10.4198i	−1.19786	+	0.691584i	−0.960077	−	0.279735i	$-0.909753\pi$
$227$	−18.0475	+	10.4198i	−1.19786	+	0.691584i	−0.237781	+	0.971319i	$0.576420\pi$
$228$	−5.74456	+	1.73205i	−0.380443	+	0.114708i
$229$	12.0000	+	6.92820i	0.792982	+	0.457829i	0.841011	−	0.541017i	$-0.181961\pi$
$229$	12.0000	+	6.92820i	0.792982	+	0.457829i	−0.0480291	+	0.998846i	$0.515294\pi$
$230$	−3.00000	+	0.644810i	−0.197814	+	0.0425175i
$231$	−2.00000	−	3.81396i	−0.131590	−	0.250940i
$232$			3.31662i			0.217747i
$233$	−0.255437	+	0.442430i	−0.0167343	+	0.0289846i	−0.874271	−	0.485438i	$-0.838660\pi$
$233$	−0.255437	+	0.442430i	−0.0167343	+	0.0289846i	0.857537	+	0.514422i	$0.171994\pi$
$234$	0.372281	+	5.98844i	0.0243368	+	0.391477i
$235$	−14.1168	+	12.7692i	−0.920881	+	0.832969i
$236$	6.55842	−	11.3595i	0.426917	−	0.739442i
$237$	−15.3723	−	3.61158i	−0.998537	−	0.234597i
$238$	5.74456	−	16.5831i	0.372365	−	1.07492i
$239$		−	23.6588i		−	1.53036i	−0.643816	−	0.765180i	$-0.722650\pi$
$239$		−	23.6588i		−	1.53036i	0.643816	−	0.765180i	$-0.277350\pi$
$240$	2.00000	−	3.31662i	0.129099	−	0.214087i
$241$	−16.6753	+	9.62747i	−1.07415	+	0.620160i	−0.929312	−	0.369296i	$-0.879599\pi$
$241$	−16.6753	+	9.62747i	−1.07415	+	0.620160i	−0.144836	+	0.989456i	$0.546266\pi$
$242$	5.05842	+	8.76144i	0.325168	+	0.563207i
$243$	15.5000	+	1.65831i	0.994325	+	0.106381i
$244$			12.7692i			0.817462i
$245$	−12.9891	+	8.73399i	−0.829845	+	0.557994i
$246$	−12.4307	−	2.92048i	−0.792553	−	0.186203i
$247$	−6.00000	−	3.46410i	−0.381771	−	0.220416i
$248$	−6.55842	+	3.78651i	−0.416460	+	0.240443i
$249$	−19.6168	+	5.91470i	−1.24317	+	0.374829i
$250$	−1.24456	−	11.1109i	−0.0787131	−	0.702712i
$251$	1.11684			0.0704946			0.0352473	−	0.999379i	$-0.488778\pi$
$251$	1.11684			0.0704946			0.0352473	+	0.999379i	$0.488778\pi$
$252$	5.55842	+	5.66603i	0.350148	+	0.356927i
$253$		−	1.28962i		−	0.0810777i
$254$	6.55842	+	3.78651i	0.411512	+	0.237587i
$255$	−22.4891	+	12.4193i	−1.40832	+	0.777727i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	−1.62772	−	0.939764i	−0.101534	−	0.0586209i	0.448373	−	0.893847i	$-0.352004\pi$
$257$	−1.62772	−	0.939764i	−0.101534	−	0.0586209i	−0.549907	+	0.835226i	$0.685337\pi$
$258$	0.430703	−	1.83324i	0.0268144	−	0.114133i
$259$	−14.2337	−	16.4356i	−0.884438	−	1.02126i
$260$	4.37228	−	0.939764i	0.271157	−	0.0582817i
$261$	5.50000	+	8.29156i	0.340441	+	0.513235i
$262$	5.18614	+	8.98266i	0.320401	+	0.554951i
$263$	3.68614	+	6.38458i	0.227297	+	0.393690i	0.957006	−	0.290068i	$-0.0936778\pi$
$263$	3.68614	+	6.38458i	0.227297	+	0.393690i	−0.729709	+	0.683758i	$0.760344\pi$
$264$	1.18614	+	1.11469i	0.0730019	+	0.0686046i
$265$	9.55842	−	2.05446i	0.587169	−	0.126204i
$266$	−9.00000	+	1.73205i	−0.551825	+	0.106199i
$267$	2.31386	+	0.543620i	0.141606	+	0.0332690i
$268$	−2.05842	−	1.18843i	−0.125738	−	0.0725949i
$269$	12.9891	+	22.4978i	0.791961	+	1.37172i	0.924751	+	0.380572i	$0.124273\pi$
$269$	12.9891	+	22.4978i	0.791961	+	1.37172i	−0.132790	+	0.991144i	$0.542394\pi$
$270$	−0.500000	−	11.6082i	−0.0304290	−	0.706452i
$271$	7.67527	+	4.43132i	0.466239	+	0.269183i	0.714664	−	0.699468i	$-0.246580\pi$
$271$	7.67527	+	4.43132i	0.466239	+	0.269183i	−0.248425	+	0.968651i	$0.579913\pi$
$272$			6.63325i			0.402200i
$273$	−0.372281	+	9.15759i	−0.0225315	+	0.554242i
$274$	−8.74456			−0.528278
$275$	4.67527	+	0.469882i	0.281929	+	0.0283349i
$276$	0.686141	+	2.27567i	0.0413008	+	0.136979i
$277$	7.88316	−	4.55134i	0.473653	−	0.273464i	−0.244115	−	0.969746i	$-0.578497\pi$
$277$	7.88316	−	4.55134i	0.473653	−	0.273464i	0.717768	+	0.696283i	$0.245164\pi$
$278$	7.11684	+	4.10891i	0.426840	+	0.246436i
$279$	−10.1168	+	20.3422i	−0.605680	+	1.21785i
$280$	3.55842	−	4.72627i	0.212656	−	0.282449i
$281$			11.3870i			0.679290i	0.940554	+	0.339645i	$0.110307\pi$
$281$			11.3870i			0.679290i	−0.940554	+	0.339645i	$0.889693\pi$
$282$	10.7446	+	10.0974i	0.639829	+	0.601289i
$283$	8.00000	+	13.8564i	0.475551	+	0.823678i	0.999608	−	0.0280052i	$-0.00891551\pi$
$283$	8.00000	+	13.8564i	0.475551	+	0.823678i	−0.524057	+	0.851683i	$0.675582\pi$
$284$	−7.37228	+	4.25639i	−0.437464	+	0.252570i
$285$	11.4891	+	6.92820i	0.680557	+	0.410391i
$286$			1.87953i			0.111139i
$287$	−18.4307	−	6.38458i	−1.08793	−	0.376870i
$288$	−2.68614	−	1.33591i	−0.158282	−	0.0787191i
$289$	13.5000	−	23.3827i	0.794118	−	1.37545i
$290$	5.50000	−	4.97494i	0.322971	−	0.292138i
$291$	7.55842	+	25.0684i	0.443083	+	1.46954i
$292$	−1.00000	+	1.73205i	−0.0585206	+	0.101361i
$293$		−	21.7244i		−	1.26915i	−0.772861	−	0.634576i	$-0.781175\pi$
$293$		−	21.7244i		−	1.26915i	0.772861	−	0.634576i	$-0.218825\pi$
$294$	7.55842	+	9.47999i	0.440816	+	0.552884i
$295$	−28.6753	+	6.16337i	−1.66954	+	0.358845i
$296$	7.11684	+	4.10891i	0.413658	+	0.238826i
$297$	4.81386	+	0.819738i	0.279328	+	0.0475660i
$298$	−7.80298	+	4.50506i	−0.452015	+	0.260971i
$299$	−1.37228	+	2.37686i	−0.0793611	+	0.137457i
$300$	−8.50000	+	1.65831i	−0.490748	+	0.0957427i
$301$	0.941578	−	2.71810i	0.0542717	−	0.156669i
$302$	−9.11684			−0.524615
$303$	12.6060	−	13.4140i	0.724194	−	0.770613i
$304$	3.00000	−	1.73205i	0.172062	−	0.0993399i
$305$	21.1753	−	19.1537i	1.21249	−	1.09674i
$306$	11.0000	+	16.5831i	0.628828	+	0.947994i
$307$	24.1168			1.37642			0.688210	−	0.725511i	$-0.258397\pi$
$307$	24.1168			1.37642			0.688210	+	0.725511i	$0.258397\pi$
$308$	1.62772	+	1.87953i	0.0927479	+	0.107096i
$309$	3.56930	+	0.838574i	0.203050	+	0.0477048i
$310$	16.1168	+	5.19615i	0.915375	+	0.295122i
$311$	−10.1168	−	17.5229i	−0.573674	−	0.993632i	−0.996184	−	0.0872739i	$-0.972184\pi$
$311$	−10.1168	−	17.5229i	−0.573674	−	0.993632i	0.422511	−	0.906358i	$-0.361149\pi$
$312$	−1.00000	−	3.31662i	−0.0566139	−	0.187767i
$313$	−1.55842	+	2.69927i	−0.0880872	+	0.152572i	−0.906703	−	0.421771i	$-0.861409\pi$
$313$	−1.55842	+	2.69927i	−0.0880872	+	0.152572i	0.818615	+	0.574342i	$0.194742\pi$
$314$	−8.00000			−0.451466
$315$	1.05842	−	17.7167i	0.0596353	−	0.998220i
$316$	9.11684			0.512863
$317$	−0.558422	+	0.967215i	−0.0313641	+	0.0543242i	−0.881281	−	0.472592i	$-0.843318\pi$
$317$	−0.558422	+	0.967215i	−0.0313641	+	0.0543242i	0.849917	+	0.526916i	$0.176652\pi$
$318$	−2.18614	−	7.25061i	−0.122593	−	0.406594i
$319$	1.55842	+	2.69927i	0.0872549	+	0.151130i
$320$	−0.686141	+	2.12819i	−0.0383564	+	0.118970i
$321$	10.5475	+	2.47805i	0.588707	+	0.138311i
$322$	0.686141	+	3.56529i	0.0382371	+	0.198686i
$323$	−22.9783			−1.27854
$324$	−8.93070	+	1.11469i	−0.496150	+	0.0619273i
$325$	−8.11684	−	5.84096i	−0.450241	−	0.323998i
$326$	−3.00000	+	1.73205i	−0.166155	+	0.0959294i
$327$	−9.62772	+	10.2448i	−0.532414	+	0.566540i
$328$	7.37228			0.407066
$329$	14.7446	+	17.0256i	0.812894	+	0.938649i
$330$	0.0692967	−	3.63903i	0.00381466	−	0.200322i
$331$	12.1168	−	20.9870i	0.666002	−	1.15355i	−0.313011	−	0.949750i	$-0.601338\pi$
$331$	12.1168	−	20.9870i	0.666002	−	1.15355i	0.979013	−	0.203800i	$-0.0653291\pi$
$332$	10.2446	−	5.91470i	0.562243	−	0.324611i
$333$	24.6060	−	1.52967i	1.34840	−	0.0838255i
$334$	12.6861	+	7.32435i	0.694155	+	0.400770i
$335$	1.11684	+	5.19615i	0.0610197	+	0.283896i
$336$	−3.87228	−	2.45060i	−0.211250	−	0.133691i
$337$			0.644810i			0.0351250i	0.999846	+	0.0175625i	$0.00559061\pi$
$337$			0.644810i			0.0351250i	−0.999846	+	0.0175625i	$0.994409\pi$
$338$	−4.50000	+	7.79423i	−0.244768	+	0.423950i
$339$	7.37228	+	24.4511i	0.400407	+	1.32800i
$340$	11.0000	−	9.94987i	0.596559	−	0.539608i
$341$	−3.55842	+	6.16337i	−0.192699	+	0.333765i
$342$	4.62772	−	9.30506i	0.250238	−	0.503160i
$343$	10.0000	+	15.5885i	0.539949	+	0.841698i
$344$			1.08724i			0.0586201i
$345$	2.74456	−	4.55134i	0.147762	−	0.245036i
$346$	−14.7446	+	8.51278i	−0.792673	+	0.457650i
$347$	0.941578	+	1.63086i	0.0505466	+	0.0875492i	0.890192	−	0.455586i	$-0.150570\pi$
$347$	0.941578	+	1.63086i	0.0505466	+	0.0875492i	−0.839645	+	0.543135i	$0.817237\pi$
$348$	−4.18614	−	3.93398i	−0.224401	−	0.210884i
$349$		−	25.7407i		−	1.37787i	−0.724824	−	0.688934i	$-0.758079\pi$
$349$		−	25.7407i		−	1.37787i	0.724824	−	0.688934i	$-0.241921\pi$
$350$	−13.1753	+	1.18843i	−0.704248	+	0.0635243i
$351$	−8.00000	−	6.63325i	−0.427008	−	0.354057i
$352$	−0.813859	−	0.469882i	−0.0433788	−	0.0250448i
$353$	10.6277	−	6.13592i	0.565656	−	0.326582i	−0.189756	−	0.981831i	$-0.560770\pi$
$353$	10.6277	−	6.13592i	0.565656	−	0.326582i	0.755413	+	0.655249i	$0.227436\pi$
$354$	6.55842	+	21.7518i	0.348576	+	1.15610i
$355$	18.1168	+	5.84096i	0.961542	+	0.310006i
$356$	−1.37228			−0.0727308
$357$	14.1168	+	26.9205i	0.747143	+	1.42479i
$358$			23.6588i			1.25041i
$359$	−23.7446	−	13.7089i	−1.25319	−	0.723530i	−0.281448	−	0.959576i	$-0.590815\pi$
$359$	−23.7446	−	13.7089i	−1.25319	−	0.723530i	−0.971742	+	0.236047i	$0.924148\pi$
$360$	1.81386	+	6.45832i	0.0955988	+	0.340383i
$361$	−3.50000	−	6.06218i	−0.184211	−	0.319062i
$362$	6.94158	+	4.00772i	0.364841	+	0.210641i
$363$	−17.0584	−	4.00772i	−0.895335	−	0.210351i
$364$	−1.00000	−	5.19615i	−0.0524142	−	0.272352i
$365$	4.37228	−	0.939764i	0.228856	−	0.0491895i
$366$	−16.1168	−	15.1460i	−0.842441	−	0.791696i
$367$	−6.61684	−	11.4607i	−0.345396	−	0.598244i	0.640029	−	0.768351i	$-0.278922\pi$
$367$	−6.61684	−	11.4607i	−0.345396	−	0.598244i	−0.985426	+	0.170106i	$0.945589\pi$
$368$	−0.686141	−	1.18843i	−0.0357676	−	0.0619512i
$369$	18.4307	−	12.2255i	0.959464	−	0.636436i
$370$	−3.86141	−	17.9653i	−0.200745	−	0.933972i
$371$	−2.18614	−	11.3595i	−0.113499	−	0.589757i
$372$	3.00000	−	12.7692i	0.155543	−	0.662050i
$373$	20.2337	+	11.6819i	1.04766	+	0.604867i	0.921994	−	0.387205i	$-0.126560\pi$
$373$	20.2337	+	11.6819i	1.04766	+	0.604867i	0.125667	+	0.992072i	$0.459893\pi$
$374$	3.11684	+	5.39853i	0.161168	+	0.279151i
$375$	15.5000	+	11.6082i	0.800417	+	0.599444i
$376$	−7.37228	−	4.25639i	−0.380196	−	0.219506i
$377$		−	6.63325i		−	0.341630i
$378$	−13.7446	+	0.294954i	−0.706944	+	0.0151708i
$379$	−12.2337			−0.628402			−0.314201	−	0.949356i	$-0.601737\pi$
$379$	−12.2337			−0.628402			−0.314201	+	0.949356i	$0.601737\pi$
$380$	−7.37228	−	2.37686i	−0.378190	−	0.121930i
$381$	−12.5584	+	3.78651i	−0.643387	+	0.193989i
$382$	−14.7446	+	8.51278i	−0.754397	+	0.435552i
$383$	13.5475	+	7.82168i	0.692247	+	0.399669i	0.804453	−	0.594016i	$-0.202458\pi$
$383$	13.5475	+	7.82168i	0.692247	+	0.399669i	−0.112206	+	0.993685i	$0.535792\pi$
$384$	1.68614	+	0.396143i	0.0860455	+	0.0202156i
$385$	0.675266	−	5.51856i	0.0344147	−	0.281252i
$386$			17.9653i			0.914411i
$387$	1.80298	+	2.71810i	0.0916509	+	0.138169i
$388$	−7.55842	−	13.0916i	−0.383721	−	0.664624i
$389$	6.51087	−	3.75906i	0.330114	−	0.190592i	−0.325777	−	0.945446i	$-0.605626\pi$
$389$	6.51087	−	3.75906i	0.330114	−	0.190592i	0.655892	+	0.754855i	$0.272293\pi$
$390$	−4.00000	+	6.63325i	−0.202548	+	0.335888i
$391$			9.10268i			0.460343i
$392$	−5.50000	−	4.33013i	−0.277792	−	0.218704i
$393$	−17.4891	−	4.10891i	−0.882210	−	0.207267i
$394$	−7.11684	+	12.3267i	−0.358541	+	0.621012i
$395$	−13.6753	−	15.1186i	−0.688077	−	0.760698i
$396$	−2.81386	+	0.174928i	−0.141402	+	0.00879048i
$397$	−4.00000	+	6.92820i	−0.200754	+	0.347717i	−0.948772	−	0.315963i	$-0.897673\pi$
$397$	−4.00000	+	6.92820i	−0.200754	+	0.347717i	0.748017	+	0.663679i	$0.231006\pi$
$398$		−	1.28962i		−	0.0646428i
$399$	8.48913	−	13.4140i	0.424988	−	0.671539i
$400$	4.55842	−	2.05446i	0.227921	−	0.102723i
$401$	14.3139	+	8.26411i	0.714800	+	0.412690i	0.812836	−	0.582493i	$-0.197923\pi$
$401$	14.3139	+	8.26411i	0.714800	+	0.412690i	−0.0980358	+	0.995183i	$0.531256\pi$
$402$	3.94158	−	1.18843i	0.196588	−	0.0592735i
$403$	13.1168	−	7.57301i	0.653397	−	0.377239i
$404$	−5.31386	+	9.20387i	−0.264374	+	0.457910i
$405$	15.2446	+	13.1379i	0.757508	+	0.652825i
$406$	−5.74456	−	6.63325i	−0.285098	−	0.329203i
$407$	7.72281			0.382806
$408$	−8.37228	−	7.86797i	−0.414490	−	0.389522i
$409$	3.73369	−	2.15565i	0.184619	−	0.106590i	−0.404842	−	0.914387i	$-0.632673\pi$
$409$	3.73369	−	2.15565i	0.184619	−	0.106590i	0.589461	+	0.807797i	$0.299340\pi$
$410$	−11.0584	−	12.2255i	−0.546137	−	0.603777i
$411$	10.3723	−	11.0371i	0.511627	−	0.544421i
$412$	−2.11684			−0.104289
$413$	6.55842	+	34.0786i	0.322719	+	1.67690i
$414$	−3.68614	−	1.83324i	−0.181164	−	0.0900989i
$415$	−25.1753	−	8.11663i	−1.23581	−	0.398430i
$416$	1.00000	+	1.73205i	0.0490290	+	0.0849208i
$417$	−13.6277	+	4.10891i	−0.667352	+	0.201214i
$418$	1.62772	−	2.81929i	0.0796143	−	0.137896i
$419$	6.51087			0.318077			0.159039	−	0.987272i	$-0.449161\pi$
$419$	6.51087			0.318077			0.159039	+	0.987272i	$0.449161\pi$
$420$	1.74456	+	10.0974i	0.0851259	+	0.492700i
$421$	−2.11684			−0.103169			−0.0515843	−	0.998669i	$-0.516427\pi$
$421$	−2.11684			−0.103169			−0.0515843	+	0.998669i	$0.516427\pi$
$422$	8.11684	−	14.0588i	0.395122	−	0.684371i
$423$	−25.4891	+	1.58457i	−1.23932	+	0.0770446i
$424$	2.18614	+	3.78651i	0.106168	+	0.183889i
$425$	−33.0000	−	3.31662i	−1.60074	−	0.160880i
$426$	3.37228	−	14.3537i	0.163388	−	0.695441i
$427$	−22.1168	−	25.5383i	−1.07031	−	1.23589i
$428$	−6.25544			−0.302368
$429$	−2.37228	−	2.22938i	−0.114535	−	0.107636i
$430$	1.80298	−	1.63086i	0.0869476	−	0.0786471i
$431$	14.7446	−	8.51278i	0.710221	−	0.410046i	−0.100922	−	0.994894i	$-0.532179\pi$
$431$	14.7446	−	8.51278i	0.710221	−	0.410046i	0.811143	+	0.584848i	$0.198846\pi$
$432$	4.87228	−	1.80579i	0.234418	−	0.0868811i
$433$	−34.0000			−1.63394			−0.816968	−	0.576683i	$-0.804347\pi$
$433$	−34.0000			−1.63394			−0.816968	+	0.576683i	$0.804347\pi$
$434$	6.55842	−	18.9325i	0.314814	−	0.908791i
$435$	−0.244563	+	12.8429i	−0.0117259	+	0.615770i
$436$	4.05842	−	7.02939i	0.194363	−	0.336647i
$437$	4.11684	−	2.37686i	0.196935	−	0.113701i
$438$	−1.00000	−	3.31662i	−0.0477818	−	0.158474i
$439$	−2.44158	−	1.40965i	−0.116530	−	0.0672787i	0.440602	−	0.897703i	$-0.354765\pi$
$439$	−2.44158	−	1.40965i	−0.116530	−	0.0672787i	−0.557132	+	0.830424i	$0.688098\pi$
$440$	0.441578	+	2.05446i	0.0210514	+	0.0979423i
$441$	−20.9307	−	1.70460i	−0.996700	−	0.0811714i
$442$		−	13.2665i		−	0.631023i
$443$	4.50000	−	7.79423i	0.213801	−	0.370315i	−0.739100	−	0.673596i	$-0.764749\pi$
$443$	4.50000	−	7.79423i	0.213801	−	0.370315i	0.952901	+	0.303281i	$0.0980821\pi$
$444$	−13.6277	+	4.10891i	−0.646743	+	0.195000i
$445$	2.05842	+	2.27567i	0.0975786	+	0.107877i
$446$	0.441578	−	0.764836i	0.0209093	−	0.0362160i
$447$	3.56930	−	15.1923i	0.168822	−	0.718572i
$448$	2.50000	+	0.866025i	0.118114	+	0.0409159i
$449$		−	20.3971i		−	0.962598i	−0.876557	−	0.481299i	$-0.840165\pi$
$449$		−	20.3971i		−	0.962598i	0.876557	−	0.481299i	$-0.159835\pi$
$450$	7.98913	−	12.6954i	0.376611	−	0.598468i
$451$	6.00000	−	3.46410i	0.282529	−	0.163118i
$452$	−7.37228	−	12.7692i	−0.346763	−	0.600611i
$453$	10.8139	−	11.5070i	0.508079	−	0.540646i
$454$			20.8395i			0.978047i
$455$	−7.11684	+	9.45254i	−0.333643	+	0.443142i
$456$	−1.37228	+	5.84096i	−0.0642630	+	0.273528i
$457$	2.44158	+	1.40965i	0.114212	+	0.0659404i	0.556018	−	0.831170i	$-0.312329\pi$
$457$	2.44158	+	1.40965i	0.114212	+	0.0659404i	−0.441806	+	0.897111i	$0.645662\pi$
$458$	12.0000	−	6.92820i	0.560723	−	0.323734i
$459$	−33.9783	−	5.78606i	−1.58597	−	0.270070i
$460$	−0.941578	+	2.92048i	−0.0439013	+	0.136168i
$461$	23.4891			1.09400			0.546999	−	0.837133i	$-0.315770\pi$
$461$	23.4891			1.09400			0.546999	+	0.837133i	$0.315770\pi$
$462$	−4.30298	−	0.174928i	−0.200193	−	0.00813840i
$463$			6.72582i			0.312576i	0.987712	+	0.156288i	$0.0499527\pi$
$463$			6.72582i			0.312576i	−0.987712	+	0.156288i	$0.950047\pi$
$464$	2.87228	+	1.65831i	0.133342	+	0.0769852i
$465$	−25.6753	+	14.1788i	−1.19066	+	0.657527i
$466$	0.255437	+	0.442430i	0.0118329	+	0.0204952i
$467$	31.5475	+	18.2140i	1.45985	+	0.842843i	0.999003	−	0.0446389i	$-0.0142137\pi$
$467$	31.5475	+	18.2140i	1.45985	+	0.842843i	0.460843	+	0.887482i	$0.347547\pi$
$468$	5.37228	+	2.67181i	0.248334	+	0.123505i
$469$	6.17527	−	1.18843i	0.285147	−	0.0548766i
$470$	4.00000	+	18.6101i	0.184506	+	0.858421i
$471$	9.48913	−	10.0974i	0.437236	−	0.465261i
$472$	−6.55842	−	11.3595i	−0.301876	−	0.522864i
$473$	0.510875	+	0.884861i	0.0234900	+	0.0406859i
$474$	−10.8139	+	11.5070i	−0.496697	+	0.528534i
$475$	7.11684	+	15.7908i	0.326543	+	0.724533i
$476$	−11.4891	−	13.2665i	−0.526603	−	0.608069i
$477$	11.7446	+	5.84096i	0.537747	+	0.267439i
$478$	−20.4891	−	11.8294i	−0.937151	−	0.541064i
$479$	−1.37228	−	2.37686i	−0.0627011	−	0.108602i	0.832971	−	0.553317i	$-0.186638\pi$
$479$	−1.37228	−	2.37686i	−0.0627011	−	0.108602i	−0.895672	+	0.444715i	$0.853305\pi$
$480$	−1.87228	−	3.39036i	−0.0854576	−	0.154748i
$481$	−14.2337	−	8.21782i	−0.649000	−	0.374701i
$482$			19.2549i			0.877038i
$483$	−5.31386	−	3.36291i	−0.241789	−	0.153018i
$484$	10.1168			0.459857
$485$	−10.3723	+	32.1716i	−0.470981	+	1.46084i
$486$	9.18614	−	12.5942i	0.416692	−	0.571286i
$487$	12.5584	−	7.25061i	0.569076	−	0.328556i	−0.187704	−	0.982226i	$-0.560105\pi$
$487$	12.5584	−	7.25061i	0.569076	−	0.328556i	0.756780	+	0.653669i	$0.226771\pi$
$488$	11.0584	+	6.38458i	0.500591	+	0.289016i
$489$	1.37228	−	5.84096i	0.0620567	−	0.264137i
$490$	1.06930	+	15.6159i	0.0483059	+	0.705455i
$491$			30.2372i			1.36458i	0.731080	+	0.682292i	$0.239017\pi$
$491$			30.2372i			1.36458i	−0.731080	+	0.682292i	$0.760983\pi$
$492$	−8.74456	+	9.30506i	−0.394235	+	0.419505i
$493$	−11.0000	−	19.0526i	−0.495415	−	0.858084i
$494$	−6.00000	+	3.46410i	−0.269953	+	0.155857i
$495$	4.51087	+	4.40387i	0.202749	+	0.197939i
$496$			7.57301i			0.340038i
$497$	7.37228	−	21.2819i	0.330692	−	0.954626i
$498$	−4.68614	+	19.9460i	−0.209991	+	0.893803i
$499$	3.11684	−	5.39853i	0.139529	−	0.241671i	−0.787789	−	0.615945i	$-0.788774\pi$
$499$	3.11684	−	5.39853i	0.139529	−	0.241671i	0.927318	+	0.374273i	$0.122108\pi$
$500$	−10.2446	−	4.47760i	−0.458151	−	0.200245i
$501$	−24.2921	+	7.32435i	−1.08529	+	0.327228i
$502$	0.558422	−	0.967215i	0.0249236	−	0.0431689i
$503$		−	6.13592i		−	0.273587i	−0.990600	−	0.136793i	$-0.956320\pi$
$503$		−	6.13592i		−	0.273587i	0.990600	−	0.136793i	$-0.0436797\pi$
$504$	7.68614	−	1.98072i	0.342368	−	0.0882282i
$505$	23.2337	−	4.99377i	1.03389	−	0.222220i
$506$	−1.11684	−	0.644810i	−0.0496498	−	0.0286653i
$507$	−4.50000	−	14.9248i	−0.199852	−	0.662834i
$508$	6.55842	−	3.78651i	0.290983	−	0.167999i
$509$	5.87228	−	10.1711i	0.260284	−	0.450826i	−0.706033	−	0.708179i	$-0.749517\pi$
$509$	5.87228	−	10.1711i	0.260284	−	0.450826i	0.966317	+	0.257353i	$0.0828504\pi$
$510$	−0.489125	+	25.6858i	−0.0216588	+	1.13739i
$511$	−1.00000	−	5.19615i	−0.0442374	−	0.229864i
$512$	−1.00000			−0.0441942
$513$	6.25544	+	16.8781i	0.276184	+	0.745185i
$514$	−1.62772	+	0.939764i	−0.0717956	+	0.0414512i
$515$	3.17527	+	3.51039i	0.139919	+	0.154686i
$516$	−1.37228	−	1.28962i	−0.0604113	−	0.0567724i
$517$	−8.00000			−0.351840
$518$	−21.3505	+	4.10891i	−0.938089	+	0.180535i
$519$	6.74456	−	28.7075i	0.296053	−	1.26012i
$520$	1.37228	−	4.25639i	0.0601785	−	0.186655i
$521$	7.37228	+	12.7692i	0.322986	+	0.559427i	0.981103	−	0.193488i	$-0.0619802\pi$
$521$	7.37228	+	12.7692i	0.322986	+	0.559427i	−0.658117	+	0.752916i	$0.728647\pi$
$522$	9.93070	−	0.617359i	0.434655	−	0.0270211i
$523$	−5.11684	+	8.86263i	−0.223744	+	0.387536i	−0.955942	−	0.293556i	$-0.905161\pi$
$523$	−5.11684	+	8.86263i	−0.223744	+	0.387536i	0.732198	+	0.681092i	$0.238495\pi$
$524$	10.3723			0.453115
$525$	14.1277	−	18.0391i	0.616584	−	0.787289i
$526$	7.37228			0.321447
$527$	25.1168	−	43.5036i	1.09411	−	1.89505i
$528$	1.55842	−	0.469882i	0.0678216	−	0.0204490i
$529$	10.5584	+	18.2877i	0.459062	+	0.795118i
$530$	3.00000	−	9.30506i	0.130312	−	0.404186i
$531$	−35.2337	−	17.5229i	−1.52901	−	0.760429i
$532$	−3.00000	+	8.66025i	−0.130066	+	0.375470i
$533$	−14.7446			−0.638658
$534$	1.62772	−	1.73205i	0.0704383	−	0.0749532i
$535$	9.38316	+	10.3735i	0.405669	+	0.448484i
$536$	−2.05842	+	1.18843i	−0.0889103	+	0.0513324i
$537$	−29.8614	−	28.0627i	−1.28861	−	1.21099i
$538$	25.9783			1.12000
$539$	−6.51087	−	0.939764i	−0.280443	−	0.0404785i
$540$	−10.3030	−	5.37108i	−0.443370	−	0.231135i
$541$	−19.1753	+	33.2125i	−0.824409	+	1.42792i	0.0779610	+	0.996956i	$0.475159\pi$
$541$	−19.1753	+	33.2125i	−0.824409	+	1.42792i	−0.902370	+	0.430962i	$0.858174\pi$
$542$	7.67527	−	4.43132i	0.329681	−	0.190341i
$543$	−13.2921	+	4.00772i	−0.570419	+	0.171988i
$544$	5.74456	+	3.31662i	0.246296	+	0.142199i
$545$	−17.7446	+	3.81396i	−0.760094	+	0.163372i
$546$	7.74456	+	4.90120i	0.331437	+	0.209752i
$547$			9.30506i			0.397856i	0.980014	+	0.198928i	$0.0637460\pi$
$547$			9.30506i			0.397856i	−0.980014	+	0.198928i	$0.936254\pi$
$548$	−4.37228	+	7.57301i	−0.186775	+	0.323503i
$549$	38.2337	−	2.37686i	1.63177	−	0.101442i
$550$	2.74456	−	3.81396i	0.117029	−	0.162628i
$551$	−5.74456	+	9.94987i	−0.244727	+	0.423879i
$552$	2.31386	+	0.543620i	0.0984844	+	0.0231380i
$553$	−18.2337	+	15.7908i	−0.775375	+	0.671495i
$554$		−	9.10268i		−	0.386736i
$555$	27.2554	+	16.4356i	1.15693	+	0.697654i
$556$	7.11684	−	4.10891i	0.301821	−	0.174257i
$557$	13.9307	+	24.1287i	0.590263	+	1.02237i	0.994197	+	0.107577i	$0.0343092\pi$
$557$	13.9307	+	24.1287i	0.590263	+	1.02237i	−0.403934	+	0.914788i	$0.632357\pi$
$558$	12.5584	+	18.9325i	0.531640	+	0.801478i
$559$		−	2.17448i		−	0.0919708i
$560$	−2.31386	−	5.44482i	−0.0977784	−	0.230086i
$561$	−10.5109	−	2.46943i	−0.443769	−	0.104260i
$562$	9.86141	+	5.69349i	0.415978	+	0.240165i
$563$	1.24456	−	0.718549i	0.0524521	−	0.0302832i	−0.473545	−	0.880770i	$-0.657026\pi$
$563$	1.24456	−	0.718549i	0.0524521	−	0.0302832i	0.525997	+	0.850487i	$0.323692\pi$
$564$	14.1168	−	4.25639i	0.594426	−	0.179226i
$565$	−10.1168	+	31.3793i	−0.425619	+	1.32014i
$566$	16.0000			0.672530
$567$	15.9307	−	17.6978i	0.669027	−	0.743238i
$568$			8.51278i			0.357188i
$569$	−9.86141	−	5.69349i	−0.413412	−	0.238683i	0.278843	−	0.960337i	$-0.410049\pi$
$569$	−9.86141	−	5.69349i	−0.413412	−	0.238683i	−0.692255	+	0.721653i	$0.743382\pi$
$570$	11.7446	−	6.48577i	0.491926	−	0.271659i
$571$	0.116844	+	0.202380i	0.00488977	+	0.00846933i	0.868460	−	0.495759i	$-0.165110\pi$
$571$	0.116844	+	0.202380i	0.00488977	+	0.00846933i	−0.863570	+	0.504229i	$0.831777\pi$
$572$	1.62772	+	0.939764i	0.0680583	+	0.0392935i
$573$	6.74456	−	28.7075i	0.281758	−	1.19927i
$574$	−14.7446	+	12.7692i	−0.615426	+	0.532975i
$575$	6.25544	−	2.81929i	0.260870	−	0.117573i
$576$	−2.50000	+	1.65831i	−0.104167	+	0.0690963i
$577$	17.5584	+	30.4121i	0.730967	+	1.26607i	0.956470	+	0.291829i	$0.0942639\pi$
$577$	17.5584	+	30.4121i	0.730967	+	1.26607i	−0.225504	+	0.974242i	$0.572403\pi$
$578$	−13.5000	−	23.3827i	−0.561526	−	0.972592i
$579$	−22.6753	−	21.3094i	−0.942352	−	0.885588i
$580$	−1.55842	−	7.25061i	−0.0647100	−	0.301065i
$581$	−10.2446	+	29.5735i	−0.425016	+	1.22692i
$582$	25.4891	+	5.98844i	1.05656	+	0.248229i
$583$	3.55842	+	2.05446i	0.147375	+	0.0850869i
$584$	1.00000	+	1.73205i	0.0413803	+	0.0716728i
$585$	−3.62772	−	12.9166i	−0.149988	−	0.534037i
$586$	−18.8139	−	10.8622i	−0.777193	−	0.448713i
$587$		−	0.0549029i		−	0.00226608i	−0.999999	−	0.00113304i	$-0.999639\pi$
$587$		−	0.0549029i		−	0.00226608i	0.999999	−	0.00113304i	$-0.000360659\pi$
$588$	11.9891	−	1.80579i	0.494423	−	0.0744695i
$589$	−26.2337			−1.08094
$590$	−9.00000	+	27.9152i	−0.370524	+	1.14925i
$591$	−7.11684	−	23.6039i	−0.292748	−	0.970935i
$592$	7.11684	−	4.10891i	0.292500	−	0.168875i
$593$	−23.7446	−	13.7089i	−0.975072	−	0.562958i	−0.0742935	−	0.997236i	$-0.523670\pi$
$593$	−23.7446	−	13.7089i	−0.975072	−	0.562958i	−0.900779	+	0.434278i	$0.857003\pi$
$594$	3.11684	−	3.75906i	0.127886	−	0.154236i
$595$	−4.76631	+	38.9523i	−0.195400	+	1.59689i
$596$			9.01011i			0.369069i
$597$	1.62772	+	1.52967i	0.0666181	+	0.0626053i
$598$	1.37228	+	2.37686i	0.0561168	+	0.0971971i
$599$	1.62772	−	0.939764i	0.0665068	−	0.0383977i	−0.466378	−	0.884586i	$-0.654441\pi$
$599$	1.62772	−	0.939764i	0.0665068	−	0.0383977i	0.532885	+	0.846188i	$0.321108\pi$
$600$	−2.81386	+	8.19037i	−0.114875	+	0.334371i
$601$			19.2549i			0.785425i	0.919661	+	0.392713i	$0.128463\pi$
$601$			19.2549i			0.785425i	−0.919661	+	0.392713i	$0.871537\pi$
$602$	−1.88316	−	2.17448i	−0.0767517	−	0.0886252i
$603$	−3.17527	+	6.38458i	−0.129307	+	0.260000i
$604$	−4.55842	+	7.89542i	−0.185480	+	0.321260i
$605$	−15.1753	−	16.7769i	−0.616962	−	0.682077i
$606$	−5.31386	−	17.6241i	−0.215861	−	0.715929i
$607$	20.7337	−	35.9118i	0.841554	−	1.45762i	−0.0470257	−	0.998894i	$-0.514974\pi$
$607$	20.7337	−	35.9118i	0.841554	−	1.45762i	0.888580	−	0.458721i	$-0.151692\pi$
$608$		−	3.46410i		−	0.140488i
$609$	15.1861	+	0.617359i	0.615373	+	0.0250166i
$610$	−6.00000	−	27.9152i	−0.242933	−	1.13025i
$611$	14.7446	+	8.51278i	0.596501	+	0.344390i
$612$	19.8614	−	1.23472i	0.802850	−	0.0499105i
$613$	23.2337	−	13.4140i	0.938400	−	0.541785i	0.0489415	−	0.998802i	$-0.484415\pi$
$613$	23.2337	−	13.4140i	0.938400	−	0.541785i	0.889458	+	0.457016i	$0.151082\pi$
$614$	12.0584	−	20.8858i	0.486638	−	0.842882i
$615$	28.5475	+	0.543620i	1.15115	+	0.0219209i
$616$	2.44158	−	0.469882i	0.0983740	−	0.0189321i
$617$	46.9783			1.89127			0.945637	−	0.325225i	$-0.105440\pi$
$617$	46.9783			1.89127			0.945637	+	0.325225i	$0.105440\pi$
$618$	2.51087	−	2.67181i	0.101002	−	0.107476i
$619$	−14.2337	+	8.21782i	−0.572100	+	0.330302i	−0.757988	−	0.652269i	$-0.773817\pi$
$619$	−14.2337	+	8.21782i	−0.572100	+	0.330302i	0.185888	+	0.982571i	$0.440484\pi$
$620$	12.5584	−	11.3595i	0.504358	−	0.456209i
$621$	6.68614	−	2.47805i	0.268306	−	0.0994408i
$622$	−20.2337			−0.811297
$623$	2.74456	−	2.37686i	0.109959	−	0.0952269i
$624$	−3.37228	−	0.792287i	−0.134999	−	0.0317169i
$625$	7.94158	+	23.7051i	0.317663	+	0.948204i
$626$	1.55842	+	2.69927i	0.0622871	+	0.107884i
$627$	1.62772	+	5.39853i	0.0650048	+	0.215597i
$628$	−4.00000	+	6.92820i	−0.159617	+	0.276465i
$629$	−54.5109			−2.17349
$630$	−14.8139	−	9.77495i	−0.590198	−	0.389443i
$631$	12.8832			0.512870			0.256435	−	0.966561i	$-0.417452\pi$
$631$	12.8832			0.512870			0.256435	+	0.966561i	$0.417452\pi$
$632$	4.55842	−	7.89542i	0.181324	−	0.314063i
$633$	8.11684	+	26.9205i	0.322616	+	1.06999i
$634$	0.558422	+	0.967215i	0.0221778	+	0.0384130i
$635$	−16.1168	−	5.19615i	−0.639577	−	0.206203i
$636$	−7.37228	−	1.73205i	−0.292330	−	0.0686803i
$637$	11.0000	+	8.66025i	0.435836	+	0.343132i
$638$	3.11684			0.123397
$639$	14.1168	+	21.2819i	0.558454	+	0.841901i
$640$	1.50000	+	1.65831i	0.0592927	+	0.0655506i
$641$	7.80298	−	4.50506i	0.308199	−	0.177939i	−0.337921	−	0.941174i	$-0.609724\pi$
$641$	7.80298	−	4.50506i	0.308199	−	0.177939i	0.646120	+	0.763235i	$0.276390\pi$
$642$	7.41983	−	7.89542i	0.292837	−	0.311607i
$643$	−18.2337			−0.719066			−0.359533	−	0.933132i	$-0.617064\pi$
$643$	−18.2337			−0.719066			−0.359533	+	0.933132i	$0.617064\pi$
$644$	3.43070	+	1.18843i	0.135189	+	0.0468307i
$645$	−0.0801714	+	4.21010i	−0.00315675	+	0.165773i
$646$	−11.4891	+	19.8997i	−0.452034	+	0.782945i
$647$	−36.4307	+	21.0333i	−1.43224	+	0.826903i	−0.997291	−	0.0735524i	$-0.976566\pi$
$647$	−36.4307	+	21.0333i	−1.43224	+	0.826903i	−0.434947	+	0.900456i	$0.643233\pi$
$648$	−3.50000	+	8.29156i	−0.137493	+	0.325723i
$649$	−10.6753	−	6.16337i	−0.419041	−	0.241933i
$650$	−9.11684	+	4.10891i	−0.357592	+	0.161165i
$651$	16.1168	+	30.7345i	0.631669	+	1.20458i
$652$			3.46410i			0.135665i
$653$	−8.18614	+	14.1788i	−0.320348	+	0.554860i	−0.980560	−	0.196220i	$-0.937133\pi$
$653$	−8.18614	+	14.1788i	−0.320348	+	0.554860i	0.660211	+	0.751080i	$0.270467\pi$
$654$	4.05842	+	13.4603i	0.158697	+	0.526338i
$655$	−15.5584	−	17.2005i	−0.607918	−	0.672078i
$656$	3.68614	−	6.38458i	0.143920	−	0.249276i
$657$	5.37228	+	2.67181i	0.209593	+	0.104237i
$658$	22.1168	−	4.25639i	0.862204	−	0.165931i
$659$			16.1407i			0.628752i	0.949299	+	0.314376i	$0.101795\pi$
$659$			16.1407i			0.628752i	−0.949299	+	0.314376i	$0.898205\pi$
$660$	−3.11684	−	1.87953i	−0.121323	−	0.0731605i
$661$	11.0584	−	6.38458i	0.430123	−	0.248331i	−0.269276	−	0.963063i	$-0.586784\pi$
$661$	11.0584	−	6.38458i	0.430123	−	0.248331i	0.699399	+	0.714732i	$0.253451\pi$
$662$	−12.1168	−	20.9870i	−0.470935	−	0.815683i
$663$	16.7446	+	15.7359i	0.650305	+	0.611133i
$664$		−	11.8294i		−	0.459070i
$665$	18.8614	−	8.01544i	0.731414	−	0.310826i
$666$	10.9783	−	22.0742i	0.425399	−	0.855359i
$667$	3.94158	+	2.27567i	0.152619	+	0.0881143i
$668$	12.6861	−	7.32435i	0.490842	−	0.283387i
$669$	0.441578	+	1.46455i	0.0170724	+	0.0566227i
$670$	5.05842	+	1.63086i	0.195424	+	0.0630057i
$671$	12.0000			0.463255
$672$	−4.05842	+	2.12819i	−0.156557	+	0.0820969i
$673$		−	46.9678i		−	1.81047i	−0.424907	−	0.905237i	$-0.639693\pi$
$673$		−	46.9678i		−	1.81047i	0.424907	−	0.905237i	$-0.360307\pi$
$674$	0.558422	+	0.322405i	0.0215096	+	0.0124186i
$675$	6.54755	+	25.1422i	0.252015	+	0.967723i
$676$	4.50000	+	7.79423i	0.173077	+	0.299778i
$677$	1.58017	+	0.912312i	0.0607309	+	0.0350630i	0.530058	−	0.847961i	$-0.322170\pi$
$677$	1.58017	+	0.912312i	0.0607309	+	0.0350630i	−0.469327	+	0.883024i	$0.655503\pi$
$678$	24.8614	+	5.84096i	0.954797	+	0.224321i
$679$	37.7921	+	13.0916i	1.45033	+	0.502408i
$680$	−3.11684	−	14.5012i	−0.119526	−	0.556096i
$681$	−26.3030	−	24.7186i	−1.00793	−	0.947219i
$682$	3.55842	+	6.16337i	0.136259	+	0.236008i
$683$	15.9891	+	27.6940i	0.611807	+	1.05968i	0.990936	+	0.134337i	$0.0428904\pi$
$683$	15.9891	+	27.6940i	0.611807	+	1.05968i	−0.379129	+	0.925344i	$0.623776\pi$
$684$	−5.74456	−	8.66025i	−0.219649	−	0.331133i
$685$	19.1168	−	4.10891i	0.730417	−	0.156993i
$686$	18.5000	−	0.866025i	0.706333	−	0.0330650i
$687$	−5.48913	+	23.3639i	−0.209423	+	0.891386i
$688$	0.941578	+	0.543620i	0.0358973	+	0.0207253i
$689$	−4.37228	−	7.57301i	−0.166571	−	0.288509i
$690$	−2.56930	−	4.65253i	−0.0978115	−	0.177119i
$691$	8.23369	+	4.75372i	0.313224	+	0.180840i	0.648368	−	0.761327i	$-0.275452\pi$
$691$	8.23369	+	4.75372i	0.313224	+	0.180840i	−0.335144	+	0.942167i	$0.608785\pi$
$692$			17.0256i			0.647214i
$693$	5.32473	−	5.22360i	0.202270	−	0.198428i
$694$	1.88316			0.0714836
$695$	−17.4891	−	5.63858i	−0.663400	−	0.213884i
$696$	−5.50000	+	1.65831i	−0.208477	+	0.0628582i
$697$	−42.3505	+	24.4511i	−1.60414	+	0.926151i
$698$	−22.2921	−	12.8704i	−0.843769	−	0.487150i
$699$	−0.861407	−	0.202380i	−0.0325814	−	0.00765470i
$700$	−5.55842	+	12.0043i	−0.210089	+	0.453721i
$701$		−	39.2473i		−	1.48235i	−0.671313	−	0.741174i	$-0.734269\pi$
$701$		−	39.2473i		−	1.48235i	0.671313	−	0.741174i	$-0.265731\pi$
$702$	−9.74456	+	3.61158i	−0.367785	+	0.136310i
$703$	14.2337	+	24.6535i	0.536834	+	0.929823i
$704$	−0.813859	+	0.469882i	−0.0306735	+	0.0177093i
$705$	−28.2337	−	17.0256i	−1.06334	−	0.641219i
$706$		−	12.2718i		−	0.461857i
$707$	−5.31386	−	27.6116i	−0.199848	−	1.03844i
$708$	22.1168	+	5.19615i	0.831202	+	0.195283i
$709$	−6.05842	+	10.4935i	−0.227529	+	0.394091i	−0.957075	−	0.289840i	$-0.906398\pi$
$709$	−6.05842	+	10.4935i	−0.227529	+	0.394091i	0.729546	+	0.683931i	$0.239731\pi$
$710$	14.1168	−	12.7692i	0.529796	−	0.479218i
$711$	−1.69702	−	27.2978i	−0.0636430	−	1.02375i
$712$	−0.686141	+	1.18843i	−0.0257142	+	0.0445383i
$713$			10.3923i			0.389195i
$714$	30.3723	+	1.23472i	1.13665	+	0.0462081i
$715$	−0.883156	−	4.10891i	−0.0330282	−	0.153665i
$716$	20.4891	+	11.8294i	0.765715	+	0.442086i
$717$	39.2337	−	11.8294i	1.46521	−	0.441777i
$718$	−23.7446	+	13.7089i	−0.886139	+	0.511613i
$719$	−22.3723	+	38.7499i	−0.834345	+	1.44513i	0.0602171	+	0.998185i	$0.480821\pi$
$719$	−22.3723	+	38.7499i	−0.834345	+	1.44513i	−0.894562	+	0.446943i	$0.852513\pi$
$720$	6.50000	+	1.65831i	0.242241	+	0.0618017i
$721$	4.23369	−	3.66648i	0.157671	−	0.136547i
$722$	−7.00000			−0.260513
$723$	−24.3030	−	22.8391i	−0.903838	−	0.849394i
$724$	6.94158	−	4.00772i	0.257982	−	0.148946i
$725$	−9.68614	+	13.4603i	−0.359734	+	0.499902i
$726$	−12.0000	+	12.7692i	−0.445362	+	0.473908i
$727$	−19.0000			−0.704671			−0.352335	−	0.935874i	$-0.614612\pi$
$727$	−19.0000			−0.704671			−0.352335	+	0.935874i	$0.614612\pi$
$728$	−5.00000	−	1.73205i	−0.185312	−	0.0641941i
$729$	5.00000	+	26.5330i	0.185185	+	0.982704i
$730$	1.37228	−	4.25639i	0.0507904	−	0.157536i
$731$	−3.60597	−	6.24572i	−0.133372	−	0.231006i
$732$	−21.1753	+	6.38458i	−0.782660	+	0.235981i
$733$	16.2337	−	28.1176i	0.599605	−	1.03855i	−0.393274	−	0.919421i	$-0.628658\pi$
$733$	16.2337	−	28.1176i	0.599605	−	1.03855i	0.992879	−	0.119125i	$-0.0380089\pi$
$734$	−13.2337			−0.488464
$735$	−20.9783	−	17.1730i	−0.773794	−	0.633437i
$736$	−1.37228			−0.0505830
$737$	−1.11684	+	1.93443i	−0.0411395	+	0.0712557i
$738$	−1.37228	−	22.0742i	−0.0505144	−	0.812564i
$739$	0.883156	+	1.52967i	0.0324874	+	0.0562699i	0.881812	−	0.471601i	$-0.156324\pi$
$739$	0.883156	+	1.52967i	0.0324874	+	0.0562699i	−0.849325	+	0.527871i	$0.822990\pi$
$740$	−17.4891	−	5.63858i	−0.642913	−	0.207278i
$741$	2.74456	−	11.6819i	0.100824	−	0.429146i
$742$	−10.9307	−	3.78651i	−0.401279	−	0.139007i
$743$	−21.6060			−0.792646			−0.396323	−	0.918111i	$-0.629714\pi$
$743$	−21.6060			−0.792646			−0.396323	+	0.918111i	$0.629714\pi$
$744$	−9.55842	−	8.98266i	−0.350429	−	0.329320i
$745$	14.9416	−	13.5152i	0.547417	−	0.495157i
$746$	20.2337	−	11.6819i	0.740808	−	0.427706i
$747$	−19.6168	−	29.5735i	−0.717743	−	1.08204i
$748$	6.23369			0.227926
$749$	12.5109	−	10.8347i	0.457137	−	0.395893i
$750$	17.8030	−	7.61930i	0.650073	−	0.278218i
$751$	−12.4416	+	21.5494i	−0.454000	+	0.786350i	−0.998630	−	0.0523257i	$-0.983337\pi$
$751$	−12.4416	+	21.5494i	−0.454000	+	0.786350i	0.544630	+	0.838676i	$0.316670\pi$
$752$	−7.37228	+	4.25639i	−0.268839	+	0.155215i
$753$	0.558422	+	1.85208i	0.0203500	+	0.0674934i
$754$	−5.74456	−	3.31662i	−0.209205	−	0.120784i
$755$	19.9307	−	4.28384i	0.725353	−	0.155905i
$756$	−6.61684	+	12.0506i	−0.240652	+	0.438277i
$757$		−	25.5383i		−	0.928206i	−0.885781	−	0.464103i	$-0.846377\pi$
$757$		−	25.5383i		−	0.928206i	0.885781	−	0.464103i	$-0.153623\pi$
$758$	−6.11684	+	10.5947i	−0.222174	+	0.384816i
$759$	2.13859	−	0.644810i	0.0776260	−	0.0234051i
$760$	−5.74456	+	5.19615i	−0.208377	+	0.188484i
$761$	−3.51087	+	6.08101i	−0.127269	+	0.220437i	−0.922618	−	0.385716i	$-0.873955\pi$
$761$	−3.51087	+	6.08101i	−0.127269	+	0.220437i	0.795349	+	0.606152i	$0.207288\pi$
$762$	−3.00000	+	12.7692i	−0.108679	+	0.462578i
$763$	4.05842	+	21.0882i	0.146925	+	0.763443i
$764$			17.0256i			0.615963i
$765$	−31.8397	−	31.0843i	−1.15117	−	1.12386i
$766$	13.5475	−	7.82168i	0.489493	−	0.282609i
$767$	13.1168	+	22.7190i	0.473622	+	0.820337i
$768$	1.18614	−	1.26217i	0.0428012	−	0.0455446i
$769$		−	30.5321i		−	1.10102i	−0.834830	−	0.550508i	$-0.814434\pi$
$769$		−	30.5321i		−	1.10102i	0.834830	−	0.550508i	$-0.185566\pi$
$770$	−4.44158	−	3.34408i	−0.160063	−	0.120512i
$771$	0.744563	−	3.16915i	0.0268148	−	0.114134i
$772$	15.5584	+	8.98266i	0.559960	+	0.323293i
$773$	−7.37228	+	4.25639i	−0.265163	+	0.153092i	−0.626687	−	0.779271i	$-0.715590\pi$
$773$	−7.37228	+	4.25639i	−0.265163	+	0.153092i	0.361525	+	0.932363i	$0.382256\pi$
$774$	3.25544	−	0.202380i	0.117014	−	0.00727439i
$775$	−37.6753	−	3.78651i	−1.35334	−	0.136015i
$776$	−15.1168			−0.542663
$777$	20.1386	−	31.8217i	0.722468	−	1.14160i
$778$		−	7.51811i		−	0.269537i
$779$	22.1168	+	12.7692i	0.792418	+	0.457503i
$780$	3.74456	+	6.78073i	0.134077	+	0.242789i
$781$	4.00000	+	6.92820i	0.143131	+	0.247911i
$782$	7.88316	+	4.55134i	0.281901	+	0.162756i
$783$	−11.0000	+	13.2665i	−0.393108	+	0.474106i
$784$	−6.50000	+	2.59808i	−0.232143	+	0.0927884i
$785$	17.4891	−	3.75906i	0.624214	−	0.134166i
$786$	−12.3030	+	13.0916i	−0.438833	+	0.466961i
$787$	−4.94158	−	8.55906i	−0.176148	−	0.305098i	0.764410	−	0.644731i	$-0.223030\pi$
$787$	−4.94158	−	8.55906i	−0.176148	−	0.305098i	−0.940558	+	0.339633i	$0.889697\pi$
$788$	7.11684	+	12.3267i	0.253527	+	0.439122i
$789$	−8.74456	+	9.30506i	−0.311315	+	0.331269i
$790$	−19.9307	+	4.28384i	−0.709103	+	0.152412i
$791$	36.8614	+	12.7692i	1.31064	+	0.454019i
$792$	−1.25544	+	2.52434i	−0.0446100	+	0.0896984i
$793$	−22.1168	−	12.7692i	−0.785392	−	0.453446i
$794$	4.00000	+	6.92820i	0.141955	+	0.245873i
$795$	8.18614	+	14.8236i	0.290332	+	0.525740i
$796$	−1.11684	−	0.644810i	−0.0395855	−	0.0228547i
$797$		−	0.939764i		−	0.0332881i	−0.999861	−	0.0166441i	$-0.994702\pi$
$797$		−	0.939764i		−	0.0332881i	0.999861	−	0.0166441i	$-0.00529822\pi$
$798$	−7.37228	−	14.0588i	−0.260976	−	0.497676i
$799$	56.4674			1.99767
$800$	0.500000	−	4.97494i	0.0176777	−	0.175891i
$801$	0.255437	+	4.10891i	0.00902544	+	0.145181i
$802$	14.3139	−	8.26411i	0.505440	−	0.291816i
$803$	1.62772	+	0.939764i	0.0574409	+	0.0331635i
$804$	0.941578	−	4.00772i	0.0332069	−	0.141341i
$805$	−3.17527	−	7.47182i	−0.111913	−	0.263347i
$806$		−	15.1460i		−	0.533496i
$807$	−30.8139	+	32.7889i	−1.08470	+	1.15423i
$808$	5.31386	+	9.20387i	0.186941	+	0.323791i
$809$	−36.4307	+	21.0333i	−1.28084	+	0.739491i	−0.977001	−	0.213234i	$-0.931600\pi$
$809$	−36.4307	+	21.0333i	−1.28084	+	0.739491i	−0.303834	+	0.952725i	$0.598267\pi$
$810$	19.0000	−	6.63325i	0.667592	−	0.233069i
$811$		−	10.3923i		−	0.364923i	−0.983213	−	0.182462i	$-0.941593\pi$
$811$		−	10.3923i		−	0.364923i	0.983213	−	0.182462i	$-0.0584065\pi$
$812$	−8.61684	+	1.65831i	−0.302392	+	0.0581954i
$813$	−3.51087	+	14.9436i	−0.123132	+	0.524097i
$814$	3.86141	−	6.68815i	0.135342	−	0.234420i
$815$	5.74456	−	5.19615i	0.201223	−	0.182013i
$816$	−11.0000	+	3.31662i	−0.385077	+	0.116105i
$817$	−1.88316	+	3.26172i	−0.0658833	+	0.114113i
$818$		−	4.31129i		−	0.150741i
$819$	−15.3723	+	3.96143i	−0.537151	+	0.138424i
$820$	−16.1168	+	3.46410i	−0.562825	+	0.120972i
$821$	−4.06930	−	2.34941i	−0.142019	−	0.0819950i	0.427307	−	0.904107i	$-0.359462\pi$
$821$	−4.06930	−	2.34941i	−0.142019	−	0.0819950i	−0.569326	+	0.822112i	$0.692796\pi$
$822$	−4.37228	−	14.5012i	−0.152501	−	0.505788i
$823$	11.8247	−	6.82701i	0.412184	−	0.237975i	−0.279544	−	0.960133i	$-0.590183\pi$
$823$	11.8247	−	6.82701i	0.412184	−	0.237975i	0.691728	+	0.722158i	$0.256850\pi$
$824$	−1.05842	+	1.83324i	−0.0368719	+	0.0638640i
$825$	1.55842	+	7.98799i	0.0542573	+	0.278106i
$826$	32.7921	+	11.3595i	1.14098	+	0.395248i
$827$	−33.0000			−1.14752			−0.573761	−	0.819023i	$-0.694516\pi$
$827$	−33.0000			−1.14752			−0.573761	+	0.819023i	$0.694516\pi$
$828$	−3.43070	+	2.27567i	−0.119225	+	0.0790850i
$829$	1.11684	−	0.644810i	0.0387896	−	0.0223952i	−0.480480	−	0.877006i	$-0.659537\pi$
$829$	1.11684	−	0.644810i	0.0387896	−	0.0223952i	0.519269	+	0.854611i	$0.326204\pi$
$830$	−19.6168	+	17.7441i	−0.680911	+	0.615907i
$831$	11.4891	+	10.7971i	0.398553	+	0.374546i
$832$	2.00000			0.0693375
$833$	45.9565	+	6.63325i	1.59230	+	0.229828i
$834$	−3.25544	+	13.8564i	−0.112727	+	0.479808i
$835$	−31.1753	−	10.0511i	−1.07886	−	0.347831i
$836$	−1.62772	−	2.81929i	−0.0562958	−	0.0975072i
$837$	−38.7921	−	6.60580i	−1.34085	−	0.228330i
$838$	3.25544	−	5.63858i	0.112457	−	0.194782i
$839$	55.7228			1.92377			0.961883	−	0.273463i	$-0.0881690\pi$
$839$	55.7228			1.92377			0.961883	+	0.273463i	$0.0881690\pi$
$840$	9.61684	+	3.53784i	0.331813	+	0.122067i
$841$	18.0000			0.620690
$842$	−1.05842	+	1.83324i	−0.0364756	+	0.0631776i
$843$	−18.8832	+	5.69349i	−0.650370	+	0.196094i
$844$	−8.11684	−	14.0588i	−0.279393	−	0.483923i
$845$	6.17527	−	19.1537i	0.212436	−	0.658909i
$846$	−11.3723	+	22.8665i	−0.390987	+	0.786167i
$847$	−20.2337	+	17.5229i	−0.695238	+	0.602094i
$848$	4.37228			0.150145
$849$	−18.9783	+	20.1947i	−0.651332	+	0.693080i
$850$	−19.3723	+	26.9205i	−0.664464	+	0.923366i
$851$	9.76631	−	5.63858i	0.334785	−	0.193288i
$852$	−10.7446	−	10.0974i	−0.368103	−	0.345930i
$853$	−38.4674			−1.31710			−0.658549	−	0.752538i	$-0.728829\pi$
$853$	−38.4674			−1.31710			−0.658549	+	0.752538i	$0.728829\pi$
$854$	−33.1753	+	6.38458i	−1.13523	+	0.218476i
$855$	−5.74456	+	22.5167i	−0.196460	+	0.770054i
$856$	−3.12772	+	5.41737i	−0.106903	+	0.185162i
$857$	−21.2554	+	12.2718i	−0.726072	+	0.419198i	−0.816983	−	0.576661i	$-0.804355\pi$
$857$	−21.2554	+	12.2718i	−0.726072	+	0.419198i	0.0909115	+	0.995859i	$0.471022\pi$
$858$	−3.11684	+	0.939764i	−0.106407	+	0.0320830i
$859$	−40.4674	−	23.3639i	−1.38073	−	0.797164i	−0.388483	−	0.921456i	$-0.627001\pi$
$859$	−40.4674	−	23.3639i	−1.38073	−	0.797164i	−0.992246	+	0.124291i	$0.960334\pi$
$860$	−0.510875	−	2.37686i	−0.0174207	−	0.0810503i
$861$	1.37228	−	33.7562i	0.0467672	−	1.15041i
$862$		−	17.0256i		−	0.579893i
$863$	6.68614	−	11.5807i	0.227599	−	0.394213i	−0.729497	−	0.683984i	$-0.760246\pi$
$863$	6.68614	−	11.5807i	0.227599	−	0.394213i	0.957096	+	0.289771i	$0.0935792\pi$
$864$	0.872281	−	5.12241i	0.0296756	−	0.174268i
$865$	28.2337	−	25.5383i	0.959974	−	0.868329i
$866$	−17.0000	+	29.4449i	−0.577684	+	1.00058i
$867$	45.5258	+	10.6959i	1.54614	+	0.363251i
$868$	−13.1168	−	15.1460i	−0.445215	−	0.514090i
$869$		−	8.56768i		−	0.290639i
$870$	11.0000	+	6.63325i	0.372935	+	0.224888i
$871$	4.11684	−	2.37686i	0.139494	−	0.0805369i
$872$	−4.05842	−	7.02939i	−0.137436	−	0.238045i
$873$	−37.7921	+	25.0684i	−1.27907	+	0.848438i
$874$		−	4.75372i		−	0.160797i
$875$	28.2446	−	8.78890i	0.954840	−	0.297119i
$876$	−3.37228	−	0.792287i	−0.113939	−	0.0267689i
$877$	24.3505	+	14.0588i	0.822259	+	0.474731i	0.851195	−	0.524850i	$-0.175879\pi$
$877$	24.3505	+	14.0588i	0.822259	+	0.474731i	−0.0289358	+	0.999581i	$0.509212\pi$
$878$	−2.44158	+	1.40965i	−0.0823993	+	0.0475732i
$879$	36.0258	−	10.8622i	1.21512	−	0.366372i
$880$	2.00000	+	0.644810i	0.0674200	+	0.0217365i
$881$	−0.350532			−0.0118097			−0.00590486	−	0.999983i	$-0.501880\pi$
$881$	−0.350532			−0.0118097			−0.00590486	+	0.999983i	$0.501880\pi$
$882$	−11.9416	+	17.2742i	−0.402094	+	0.581653i
$883$		−	44.5532i		−	1.49934i	−0.661815	−	0.749668i	$-0.730213\pi$
$883$		−	44.5532i		−	1.49934i	0.661815	−	0.749668i	$-0.269787\pi$
$884$	−11.4891	−	6.63325i	−0.386421	−	0.223100i
$885$	−24.5584	−	44.4709i	−0.825522	−	1.49487i
$886$	−4.50000	−	7.79423i	−0.151180	−	0.261852i
$887$	−7.03667	−	4.06262i	−0.236268	−	0.136410i	0.377192	−	0.926135i	$-0.376890\pi$
$887$	−7.03667	−	4.06262i	−0.236268	−	0.136410i	−0.613460	+	0.789725i	$0.710223\pi$
$888$	−3.25544	+	13.8564i	−0.109245	+	0.464991i
$889$	−6.55842	+	18.9325i	−0.219962	+	0.634977i
$890$	3.00000	−	0.644810i	0.100560	−	0.0216141i
$891$	1.04755	+	8.39275i	0.0350942	+	0.281168i
$892$	−0.441578	−	0.764836i	−0.0147851	−	0.0256086i
$893$	−14.7446	−	25.5383i	−0.493408	−	0.854608i
$894$	−11.3723	−	10.6873i	−0.380346	−	0.357435i
$895$	−11.1168	−	51.7215i	−0.371595	−	1.72886i
$896$	2.00000	−	1.73205i	0.0668153	−	0.0578638i
$897$	−4.62772	−	1.08724i	−0.154515	−	0.0363019i
$898$	−17.6644	−	10.1985i	−0.589468	−	0.340330i
$899$	−12.5584	−	21.7518i	−0.418847	−	0.725464i
$900$	−7.00000	−	13.2665i	−0.233333	−	0.442217i
$901$	−25.1168	−	14.5012i	−0.836763	−	0.483106i
$902$		−	6.92820i		−	0.230684i
$903$	4.97825	+	0.202380i	0.165666	+	0.00673477i
$904$	−14.7446			−0.490397
$905$	−17.0584	−	5.49972i	−0.567041	−	0.182817i
$906$	−4.55842	−	15.1186i	−0.151443	−	0.502281i
$907$	4.29211	−	2.47805i	0.142517	−	0.0822823i	−0.427046	−	0.904230i	$-0.640446\pi$
$907$	4.29211	−	2.47805i	0.142517	−	0.0822823i	0.569563	+	0.821948i	$0.307112\pi$
$908$	18.0475	+	10.4198i	0.598929	+	0.345792i
$909$	28.5475	+	14.1976i	0.946862	+	0.470906i
$910$	4.62772	+	10.8896i	0.153407	+	0.360988i
$911$			37.8102i			1.25271i	0.779539	+	0.626353i	$0.215453\pi$
$911$			37.8102i			1.25271i	−0.779539	+	0.626353i	$0.784547\pi$
$912$	4.37228	+	4.10891i	0.144781	+	0.136060i
$913$	−5.55842	−	9.62747i	−0.183957	−	0.318623i
$914$	2.44158	−	1.40965i	0.0807602	−	0.0466269i
$915$	42.3505	+	25.5383i	1.40007	+	0.844271i
$916$		−	13.8564i		−	0.457829i
$917$	−20.7446	+	17.9653i	−0.685046	+	0.593267i
$918$	−22.0000	+	26.5330i	−0.726108	+	0.875719i
$919$	−8.11684	+	14.0588i	−0.267750	+	0.463757i	−0.968280	−	0.249866i	$-0.919613\pi$
$919$	−8.11684	+	14.0588i	−0.267750	+	0.463757i	0.700530	+	0.713622i	$0.252947\pi$
$920$	2.05842	+	2.27567i	0.0678642	+	0.0750267i
$921$	12.0584	+	39.9933i	0.397339	+	1.31782i
$922$	11.7446	−	20.3422i	0.386787	−	0.669934i
$923$		−	17.0256i		−	0.560403i
$924$	−2.30298	+	3.63903i	−0.0757626	+	0.119715i
$925$	16.8832	+	37.4603i	0.555115	+	1.23169i
$926$	5.82473	+	3.36291i	0.191413	+	0.110512i
$927$	0.394031	+	6.33830i	0.0129417	+	0.208177i
$928$	2.87228	−	1.65831i	0.0942873	−	0.0544368i
$929$	17.0584	−	29.5461i	0.559669	−	0.969375i	−0.437855	−	0.899046i	$-0.644262\pi$
$929$	17.0584	−	29.5461i	0.559669	−	0.969375i	0.997524	−	0.0703291i	$-0.0224049\pi$
$930$	−0.558422	+	29.3248i	−0.0183114	+	0.961599i
$931$	−9.00000	−	22.5167i	−0.294963	−	0.737954i
$932$	0.510875			0.0167343
$933$	24.0000	−	25.5383i	0.785725	−	0.836087i
$934$	31.5475	−	18.2140i	1.03227	−	0.595980i
$935$	−9.35053	−	10.3374i	−0.305795	−	0.338069i
$936$	5.00000	−	3.31662i	0.163430	−	0.108407i
$937$	−1.35053			−0.0441200			−0.0220600	−	0.999757i	$-0.507022\pi$
$937$	−1.35053			−0.0441200			−0.0220600	+	0.999757i	$0.507022\pi$
$938$	2.05842	−	5.94215i	0.0672099	−	0.194018i
$939$	−5.25544	−	1.23472i	−0.171505	−	0.0402935i
$940$	18.1168	+	5.84096i	0.590906	+	0.190511i
$941$	13.6753	+	23.6863i	0.445801	+	0.772150i	0.998108	−	0.0614911i	$-0.0195856\pi$
$941$	13.6753	+	23.6863i	0.445801	+	0.772150i	−0.552307	+	0.833641i	$0.686252\pi$
$942$	−4.00000	−	13.2665i	−0.130327	−	0.432246i
$943$	5.05842	−	8.76144i	0.164725	−	0.285312i
$944$	−13.1168			−0.426917
$945$	29.9090	−	7.10313i	0.972938	−	0.231065i
$946$	1.02175			0.0332199
$947$	12.9416	−	22.4155i	0.420545	−	0.728405i	−0.575448	−	0.817838i	$-0.695172\pi$
$947$	12.9416	−	22.4155i	0.420545	−	0.728405i	0.995993	+	0.0894334i	$0.0285056\pi$
$948$	4.55842	+	15.1186i	0.148051	+	0.491029i
$949$	−2.00000	−	3.46410i	−0.0649227	−	0.112449i
$950$	17.2337	+	1.73205i	0.559135	+	0.0561951i
$951$	−1.88316	−	0.442430i	−0.0610655	−	0.0143468i
$952$	−17.2337	+	3.31662i	−0.558547	+	0.107492i
$953$	48.0000			1.55487			0.777436	−	0.628962i	$-0.216520\pi$
$953$	48.0000			1.55487			0.777436	+	0.628962i	$0.216520\pi$
$954$	10.9307	−	7.25061i	0.353895	−	0.234747i
$955$	28.2337	−	25.5383i	0.913621	−	0.826401i
$956$	−20.4891	+	11.8294i	−0.662666	+	0.382590i
$957$	−3.69702	+	3.93398i	−0.119508	+	0.127168i
$958$	−2.74456			−0.0886728
$959$	−4.37228	−	22.7190i	−0.141188	−	0.733636i
$960$	−3.87228	−	0.0737384i	−0.124977	−	0.00237990i
$961$	13.1753	−	22.8202i	0.425009	−	0.736136i
$962$	−14.2337	+	8.21782i	−0.458913	+	0.264953i
$963$	1.16439	+	18.7302i	0.0375220	+	0.603571i
$964$	16.6753	+	9.62747i	0.537074	+	0.310080i
$965$	−8.44158	−	39.2747i	−0.271744	−	1.26430i
$966$	−5.56930	+	2.92048i	−0.179189	+	0.0939649i
$967$			27.6751i			0.889973i	0.895537	+	0.444986i	$0.146791\pi$
$967$			27.6751i			0.889973i	−0.895537	+	0.444986i	$0.853209\pi$
$968$	5.05842	−	8.76144i	0.162584	−	0.281603i
$969$	−11.4891	−	38.1051i	−0.369084	−	1.22411i
$970$	22.6753	+	25.0684i	0.728059	+	0.804899i
$971$	17.1861	−	29.7673i	0.551530	−	0.955277i	−0.446635	−	0.894716i	$-0.647378\pi$
$971$	17.1861	−	29.7673i	0.551530	−	0.955277i	0.998165	−	0.0605609i	$-0.0192889\pi$
$972$	−6.31386	−	14.2525i	−0.202517	−	0.457151i
$973$	−7.11684	+	20.5446i	−0.228156	+	0.658628i
$974$		−	14.5012i		−	0.464649i
$975$	5.62772	−	16.3807i	0.180231	−	0.524604i
$976$	11.0584	−	6.38458i	0.353971	−	0.204366i
$977$	14.2337	+	24.6535i	0.455376	+	0.788734i	0.998710	−	0.0507824i	$-0.0161715\pi$
$977$	14.2337	+	24.6535i	0.455376	+	0.788734i	−0.543334	+	0.839517i	$0.682838\pi$
$978$	−4.37228	−	4.10891i	−0.139810	−	0.131389i
$979$			1.28962i			0.0412164i
$980$	14.0584	+	6.88192i	0.449080	+	0.219835i
$981$	−21.8030	−	10.8434i	−0.696116	−	0.346202i
$982$	26.1861	+	15.1186i	0.835633	+	0.482453i
$983$	21.6861	−	12.5205i	0.691680	−	0.399342i	−0.112561	−	0.993645i	$-0.535905\pi$
$983$	21.6861	−	12.5205i	0.691680	−	0.399342i	0.804241	+	0.594303i	$0.202572\pi$
$984$	3.68614	+	12.2255i	0.117510	+	0.389736i
$985$	9.76631	−	30.2921i	0.311181	−	0.965185i
$986$	−22.0000			−0.700623
$987$	−20.8614	+	32.9639i	−0.664026	+	1.04925i
$988$			6.92820i			0.220416i
$989$	1.29211	+	0.746000i	0.0410867	+	0.0237214i
$990$	6.06930	−	1.70460i	0.192895	−	0.0541757i
$991$	−11.6753	−	20.2222i	−0.370877	−	0.642378i	0.618824	−	0.785530i	$-0.287610\pi$
$991$	−11.6753	−	20.2222i	−0.370877	−	0.642378i	−0.989701	+	0.143152i	$0.954276\pi$
$992$	6.55842	+	3.78651i	0.208230	+	0.120222i
$993$	40.8614	+	9.60002i	1.29670	+	0.304647i
$994$	−14.7446	−	17.0256i	−0.467669	−	0.540018i
$995$	0.605969	+	2.81929i	0.0192105	+	0.0893775i
$996$	14.9307	+	14.0313i	0.473097	+	0.444600i
$997$	19.2337	+	33.3137i	0.609137	+	1.05506i	0.991383	+	0.130996i	$0.0418174\pi$
$997$	19.2337	+	33.3137i	0.609137	+	1.05506i	−0.382246	+	0.924061i	$0.624849\pi$
$998$	−3.11684	−	5.39853i	−0.0986620	−	0.170888i
$999$	14.8397	+	40.0395i	0.469506	+	1.26680i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	210.2.t.d.89.2	yes	4
3.2	odd	2		210.2.t.b.89.2	yes	4
5.2	odd	4		1050.2.s.e.551.4		8
5.3	odd	4		1050.2.s.e.551.1		8
5.4	even	2		210.2.t.a.89.1	yes	4
7.2	even	3		1470.2.d.a.1469.1		4
7.3	odd	6		210.2.t.c.59.1	yes	4
7.5	odd	6		1470.2.d.b.1469.4		4
15.2	even	4		1050.2.s.d.551.2		8
15.8	even	4		1050.2.s.d.551.3		8
15.14	odd	2		210.2.t.c.89.1	yes	4
21.2	odd	6		1470.2.d.c.1469.2		4
21.5	even	6		1470.2.d.d.1469.3		4
21.17	even	6		210.2.t.a.59.2	✓	4
35.3	even	12		1050.2.s.d.101.3		8
35.9	even	6		1470.2.d.d.1469.4		4
35.17	even	12		1050.2.s.d.101.2		8
35.19	odd	6		1470.2.d.c.1469.1		4
35.24	odd	6		210.2.t.b.59.2	yes	4
105.17	odd	12		1050.2.s.e.101.4		8
105.38	odd	12		1050.2.s.e.101.1		8
105.44	odd	6		1470.2.d.b.1469.3		4
105.59	even	6	inner	210.2.t.d.59.1	yes	4
105.89	even	6		1470.2.d.a.1469.2		4

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
210.2.t.a.59.2	✓	4	21.17	even	6
210.2.t.a.89.1	yes	4	5.4	even	2
210.2.t.b.59.2	yes	4	35.24	odd	6
210.2.t.b.89.2	yes	4	3.2	odd	2
210.2.t.c.59.1	yes	4	7.3	odd	6
210.2.t.c.89.1	yes	4	15.14	odd	2
210.2.t.d.59.1	yes	4	105.59	even	6	inner
210.2.t.d.89.2	yes	4	1.1	even	1	trivial
1050.2.s.d.101.2		8	35.17	even	12
1050.2.s.d.101.3		8	35.3	even	12
1050.2.s.d.551.2		8	15.2	even	4
1050.2.s.d.551.3		8	15.8	even	4
1050.2.s.e.101.1		8	105.38	odd	12
1050.2.s.e.101.4		8	105.17	odd	12
1050.2.s.e.551.1		8	5.3	odd	4
1050.2.s.e.551.4		8	5.2	odd	4
1470.2.d.a.1469.1		4	7.2	even	3
1470.2.d.a.1469.2		4	105.89	even	6
1470.2.d.b.1469.3		4	105.44	odd	6
1470.2.d.b.1469.4		4	7.5	odd	6
1470.2.d.c.1469.1		4	35.19	odd	6
1470.2.d.c.1469.2		4	21.2	odd	6
1470.2.d.d.1469.3		4	21.5	even	6
1470.2.d.d.1469.4		4	35.9	even	6

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:	\( N \)	\(=\)	\( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	210.t (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.500000 - 0.866025i) q^{2} +(0.500000 + 1.65831i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.686141 + 2.12819i) q^{5} +(1.68614 + 0.396143i) q^{6} +(2.50000 + 0.866025i) q^{7} -1.00000 q^{8} +(-2.50000 + 1.65831i) q^{9} +O(q^{10})\)	\(q+(0.500000 - 0.866025i) q^{2} +(0.500000 + 1.65831i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.686141 + 2.12819i) q^{5} +(1.68614 + 0.396143i) q^{6} +(2.50000 + 0.866025i) q^{7} -1.00000 q^{8} +(-2.50000 + 1.65831i) q^{9} +(1.50000 + 1.65831i) q^{10} +(-0.813859 + 0.469882i) q^{11} +(1.18614 - 1.26217i) q^{12} +2.00000 q^{13} +(2.00000 - 1.73205i) q^{14} +(-3.87228 - 0.0737384i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(5.74456 - 3.31662i) q^{17} +(0.186141 + 2.99422i) q^{18} +(-3.00000 - 1.73205i) q^{19} +(2.18614 - 0.469882i) q^{20} +(-0.186141 + 4.57879i) q^{21} +0.939764i q^{22} +(-0.686141 + 1.18843i) q^{23} +(-0.500000 - 1.65831i) q^{24} +(-4.05842 - 2.92048i) q^{25} +(1.00000 - 1.73205i) q^{26} +(-4.00000 - 3.31662i) q^{27} +(-0.500000 - 2.59808i) q^{28} -3.31662i q^{29} +(-2.00000 + 3.31662i) q^{30} +(6.55842 - 3.78651i) q^{31} +(0.500000 + 0.866025i) q^{32} +(-1.18614 - 1.11469i) q^{33} -6.63325i q^{34} +(-3.55842 + 4.72627i) q^{35} +(2.68614 + 1.33591i) q^{36} +(-7.11684 - 4.10891i) q^{37} +(-3.00000 + 1.73205i) q^{38} +(1.00000 + 3.31662i) q^{39} +(0.686141 - 2.12819i) q^{40} -7.37228 q^{41} +(3.87228 + 2.45060i) q^{42} -1.08724i q^{43} +(0.813859 + 0.469882i) q^{44} +(-1.81386 - 6.45832i) q^{45} +(0.686141 + 1.18843i) q^{46} +(7.37228 + 4.25639i) q^{47} +(-1.68614 - 0.396143i) q^{48} +(5.50000 + 4.33013i) q^{49} +(-4.55842 + 2.05446i) q^{50} +(8.37228 + 7.86797i) q^{51} +(-1.00000 - 1.73205i) q^{52} +(-2.18614 - 3.78651i) q^{53} +(-4.87228 + 1.80579i) q^{54} +(-0.441578 - 2.05446i) q^{55} +(-2.50000 - 0.866025i) q^{56} +(1.37228 - 5.84096i) q^{57} +(-2.87228 - 1.65831i) q^{58} +(6.55842 + 11.3595i) q^{59} +(1.87228 + 3.39036i) q^{60} +(-11.0584 - 6.38458i) q^{61} -7.57301i q^{62} +(-7.68614 + 1.98072i) q^{63} +1.00000 q^{64} +(-1.37228 + 4.25639i) q^{65} +(-1.55842 + 0.469882i) q^{66} +(2.05842 - 1.18843i) q^{67} +(-5.74456 - 3.31662i) q^{68} +(-2.31386 - 0.543620i) q^{69} +(2.31386 + 5.44482i) q^{70} -8.51278i q^{71} +(2.50000 - 1.65831i) q^{72} +(-1.00000 - 1.73205i) q^{73} +(-7.11684 + 4.10891i) q^{74} +(2.81386 - 8.19037i) q^{75} +3.46410i q^{76} +(-2.44158 + 0.469882i) q^{77} +(3.37228 + 0.792287i) q^{78} +(-4.55842 + 7.89542i) q^{79} +(-1.50000 - 1.65831i) q^{80} +(3.50000 - 8.29156i) q^{81} +(-3.68614 + 6.38458i) q^{82} +11.8294i q^{83} +(4.05842 - 2.12819i) q^{84} +(3.11684 + 14.5012i) q^{85} +(-0.941578 - 0.543620i) q^{86} +(5.50000 - 1.65831i) q^{87} +(0.813859 - 0.469882i) q^{88} +(0.686141 - 1.18843i) q^{89} +(-6.50000 - 1.65831i) q^{90} +(5.00000 + 1.73205i) q^{91} +1.37228 q^{92} +(9.55842 + 8.98266i) q^{93} +(7.37228 - 4.25639i) q^{94} +(5.74456 - 5.19615i) q^{95} +(-1.18614 + 1.26217i) q^{96} +15.1168 q^{97} +(6.50000 - 2.59808i) q^{98} +(1.25544 - 2.52434i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 4 q + 2 q^{2} + 2 q^{3} - 2 q^{4} + 3 q^{5} + q^{6} + 10 q^{7} - 4 q^{8} - 10 q^{9}+O(q^{10}) \) 4 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 + 3 * q^5 + q^6 + 10 * q^7 - 4 * q^8 - 10 * q^9	\( 4 q + 2 q^{2} + 2 q^{3} - 2 q^{4} + 3 q^{5} + q^{6} + 10 q^{7} - 4 q^{8} - 10 q^{9} + 6 q^{10} - 9 q^{11} - q^{12} + 8 q^{13} + 8 q^{14} - 4 q^{15} - 2 q^{16} - 5 q^{18} - 12 q^{19} + 3 q^{20} + 5 q^{21} + 3 q^{23} - 2 q^{24} + q^{25} + 4 q^{26} - 16 q^{27} - 2 q^{28} - 8 q^{30} + 9 q^{31} + 2 q^{32} + q^{33} + 3 q^{35} + 5 q^{36} + 6 q^{37} - 12 q^{38} + 4 q^{39} - 3 q^{40} - 18 q^{41} + 4 q^{42} + 9 q^{44} - 13 q^{45} - 3 q^{46} + 18 q^{47} - q^{48} + 22 q^{49} - q^{50} + 22 q^{51} - 4 q^{52} - 3 q^{53} - 8 q^{54} - 19 q^{55} - 10 q^{56} - 6 q^{57} + 9 q^{59} - 4 q^{60} - 27 q^{61} - 25 q^{63} + 4 q^{64} + 6 q^{65} + 11 q^{66} - 9 q^{67} - 15 q^{69} + 15 q^{70} + 10 q^{72} - 4 q^{73} + 6 q^{74} + 17 q^{75} - 27 q^{77} + 2 q^{78} - q^{79} - 6 q^{80} + 14 q^{81} - 9 q^{82} - q^{84} - 22 q^{85} - 21 q^{86} + 22 q^{87} + 9 q^{88} - 3 q^{89} - 26 q^{90} + 20 q^{91} - 6 q^{92} + 21 q^{93} + 18 q^{94} + q^{96} + 26 q^{97} + 26 q^{98} + 28 q^{99}+O(q^{100}) \) 4 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 + 3 * q^5 + q^6 + 10 * q^7 - 4 * q^8 - 10 * q^9 + 6 * q^10 - 9 * q^11 - q^12 + 8 * q^13 + 8 * q^14 - 4 * q^15 - 2 * q^16 - 5 * q^18 - 12 * q^19 + 3 * q^20 + 5 * q^21 + 3 * q^23 - 2 * q^24 + q^25 + 4 * q^26 - 16 * q^27 - 2 * q^28 - 8 * q^30 + 9 * q^31 + 2 * q^32 + q^33 + 3 * q^35 + 5 * q^36 + 6 * q^37 - 12 * q^38 + 4 * q^39 - 3 * q^40 - 18 * q^41 + 4 * q^42 + 9 * q^44 - 13 * q^45 - 3 * q^46 + 18 * q^47 - q^48 + 22 * q^49 - q^50 + 22 * q^51 - 4 * q^52 - 3 * q^53 - 8 * q^54 - 19 * q^55 - 10 * q^56 - 6 * q^57 + 9 * q^59 - 4 * q^60 - 27 * q^61 - 25 * q^63 + 4 * q^64 + 6 * q^65 + 11 * q^66 - 9 * q^67 - 15 * q^69 + 15 * q^70 + 10 * q^72 - 4 * q^73 + 6 * q^74 + 17 * q^75 - 27 * q^77 + 2 * q^78 - q^79 - 6 * q^80 + 14 * q^81 - 9 * q^82 - q^84 - 22 * q^85 - 21 * q^86 + 22 * q^87 + 9 * q^88 - 3 * q^89 - 26 * q^90 + 20 * q^91 - 6 * q^92 + 21 * q^93 + 18 * q^94 + q^96 + 26 * q^97 + 26 * q^98 + 28 * q^99

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