LMFDB - Embedded newform 210.2.t.b.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			$-1.18614 - 1.26217i$ of defining polynomial
Character	$\chi$	$=$	210.89
Dual form			210.2.t.b.59.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.500000 + 0.866025i) q^{2} +(1.18614 + 1.26217i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(0.686141 - 2.12819i) q^{5} +(-1.68614 + 0.396143i) q^{6} +(2.50000 + 0.866025i) q^{7} +1.00000 q^{8} +(-0.186141 + 2.99422i) q^{9} +O(q^{10})$	\(q+(-0.500000 + 0.866025i) q^{2} +(1.18614 + 1.26217i) 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} +(-0.186141 + 2.99422i) q^{9} +(1.50000 + 1.65831i) q^{10} +(0.813859 - 0.469882i) q^{11} +(0.500000 - 1.65831i) q^{12} +2.00000 q^{13} +(-2.00000 + 1.73205i) q^{14} +(3.50000 - 1.65831i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-5.74456 + 3.31662i) q^{17} +(-2.50000 - 1.65831i) q^{18} +(-3.00000 - 1.73205i) q^{19} +(-2.18614 + 0.469882i) q^{20} +(1.87228 + 4.18265i) q^{21} +0.939764i q^{22} +(0.686141 - 1.18843i) q^{23} +(1.18614 + 1.26217i) 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} +(-0.313859 + 3.86025i) q^{30} +(6.55842 - 3.78651i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(1.55842 + 0.469882i) 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} +(2.37228 + 2.52434i) q^{39} +(0.686141 - 2.12819i) q^{40} +7.37228 q^{41} +(-4.55842 - 0.469882i) q^{42} -1.08724i q^{43} +(-0.813859 - 0.469882i) q^{44} +(6.24456 + 2.45060i) 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} +(-11.0000 - 3.31662i) q^{51} +(-1.00000 - 1.73205i) q^{52} +(2.18614 + 3.78651i) q^{53} +(-0.872281 - 5.12241i) 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} +(-3.18614 - 2.20193i) q^{60} +(-11.0584 - 6.38458i) q^{61} +7.57301i q^{62} +(-3.05842 + 7.32435i) q^{63} +1.00000 q^{64} +(1.37228 - 4.25639i) q^{65} +(-1.18614 + 1.11469i) 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} +(-0.186141 + 2.99422i) q^{72} +(-1.00000 - 1.73205i) q^{73} +(7.11684 - 4.10891i) q^{74} +(-1.12772 - 8.58652i) 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} +(-8.93070 - 1.11469i) q^{81} +(-3.68614 + 6.38458i) q^{82} -11.8294i q^{83} +(2.68614 - 3.71277i) q^{84} +(3.11684 + 14.5012i) q^{85} +(0.941578 + 0.543620i) q^{86} +(-4.18614 + 3.93398i) q^{87} +(0.813859 - 0.469882i) q^{88} +(-0.686141 + 1.18843i) q^{89} +(-5.24456 + 4.18265i) q^{90} +(5.00000 + 1.73205i) q^{91} -1.37228 q^{92} +(12.5584 + 3.78651i) q^{93} +(7.37228 - 4.25639i) q^{94} +(-5.74456 + 5.19615i) q^{95} +(0.500000 - 1.65831i) 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} - q^{3} - 2 q^{4} - 3 q^{5} - q^{6} + 10 q^{7} + 4 q^{8} + 5 q^{9}+O(q^{10}) $ 4 * q - 2 * q^2 - q^3 - 2 * q^4 - 3 * q^5 - q^6 + 10 * q^7 + 4 * q^8 + 5 * q^9	$ 4 q - 2 q^{2} - q^{3} - 2 q^{4} - 3 q^{5} - q^{6} + 10 q^{7} + 4 q^{8} + 5 q^{9} + 6 q^{10} + 9 q^{11} + 2 q^{12} + 8 q^{13} - 8 q^{14} + 14 q^{15} - 2 q^{16} - 10 q^{18} - 12 q^{19} - 3 q^{20} - 4 q^{21} - 3 q^{23} - q^{24} + q^{25} - 4 q^{26} - 16 q^{27} - 2 q^{28} - 7 q^{30} + 9 q^{31} - 2 q^{32} - 11 q^{33} - 3 q^{35} + 5 q^{36} + 6 q^{37} + 12 q^{38} - 2 q^{39} - 3 q^{40} + 18 q^{41} - q^{42} - 9 q^{44} + 2 q^{45} - 3 q^{46} - 18 q^{47} - q^{48} + 22 q^{49} + q^{50} - 44 q^{51} - 4 q^{52} + 3 q^{53} + 8 q^{54} - 19 q^{55} + 10 q^{56} + 6 q^{57} - 9 q^{59} - 7 q^{60} - 27 q^{61} + 5 q^{63} + 4 q^{64} - 6 q^{65} + q^{66} - 9 q^{67} + 15 q^{69} + 15 q^{70} + 5 q^{72} - 4 q^{73} - 6 q^{74} - 16 q^{75} + 27 q^{77} - 2 q^{78} - q^{79} + 6 q^{80} - 7 q^{81} - 9 q^{82} + 5 q^{84} - 22 q^{85} + 21 q^{86} - 11 q^{87} + 9 q^{88} + 3 q^{89} + 2 q^{90} + 20 q^{91} + 6 q^{92} + 33 q^{93} + 18 q^{94} + 2 q^{96} + 26 q^{97} - 26 q^{98} + 28 q^{99}+O(q^{100}) $ 4 * q - 2 * q^2 - q^3 - 2 * q^4 - 3 * q^5 - q^6 + 10 * q^7 + 4 * q^8 + 5 * q^9 + 6 * q^10 + 9 * q^11 + 2 * q^12 + 8 * q^13 - 8 * q^14 + 14 * q^15 - 2 * q^16 - 10 * q^18 - 12 * q^19 - 3 * q^20 - 4 * q^21 - 3 * q^23 - q^24 + q^25 - 4 * q^26 - 16 * q^27 - 2 * q^28 - 7 * q^30 + 9 * q^31 - 2 * q^32 - 11 * q^33 - 3 * q^35 + 5 * q^36 + 6 * q^37 + 12 * q^38 - 2 * q^39 - 3 * q^40 + 18 * q^41 - q^42 - 9 * q^44 + 2 * q^45 - 3 * q^46 - 18 * q^47 - q^48 + 22 * q^49 + q^50 - 44 * q^51 - 4 * q^52 + 3 * q^53 + 8 * q^54 - 19 * q^55 + 10 * q^56 + 6 * q^57 - 9 * q^59 - 7 * q^60 - 27 * q^61 + 5 * q^63 + 4 * q^64 - 6 * q^65 + q^66 - 9 * q^67 + 15 * q^69 + 15 * q^70 + 5 * q^72 - 4 * q^73 - 6 * q^74 - 16 * q^75 + 27 * q^77 - 2 * q^78 - q^79 + 6 * q^80 - 7 * q^81 - 9 * q^82 + 5 * q^84 - 22 * q^85 + 21 * q^86 - 11 * q^87 + 9 * q^88 + 3 * q^89 + 2 * q^90 + 20 * q^91 + 6 * q^92 + 33 * q^93 + 18 * q^94 + 2 * 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
$3$	1.18614	+	1.26217i	0.684819	+	0.728714i
$3$	1.18614	+	1.26217i	0.684819	+	0.728714i
$4$	−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
$9$	−0.186141	+	2.99422i	−0.0620469	+	0.998073i
$10$	1.50000	+	1.65831i	0.474342	+	0.524404i
$11$	0.813859	−	0.469882i	0.245388	−	0.141675i	−0.372263	−	0.928127i	$-0.621418\pi$
$11$	0.813859	−	0.469882i	0.245388	−	0.141675i	0.617651	+	0.786453i	$0.288085\pi$
$12$	0.500000	−	1.65831i	0.144338	−	0.478714i
$13$	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
$15$	3.50000	−	1.65831i	0.903696	−	0.428174i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	−5.74456	+	3.31662i	−1.39326	+	0.804400i	−0.993675	−	0.112296i	$-0.964180\pi$
$17$	−5.74456	+	3.31662i	−1.39326	+	0.804400i	−0.399586	+	0.916696i	$0.630846\pi$
$18$	−2.50000	−	1.65831i	−0.589256	−	0.390868i
$19$	−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
$21$	1.87228	+	4.18265i	0.408565	+	0.912729i
$22$			0.939764i			0.200358i
$23$	0.686141	−	1.18843i	0.143070	−	0.247805i	−0.785581	−	0.618759i	$-0.787636\pi$
$23$	0.686141	−	1.18843i	0.143070	−	0.247805i	0.928651	+	0.370954i	$0.120969\pi$
$24$	1.18614	+	1.26217i	0.242120	+	0.257639i
$25$	−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	$0.0996399\pi$
$29$			3.31662i			0.615882i	−0.951405	+	0.307941i	$0.900360\pi$
$30$	−0.313859	+	3.86025i	−0.0573026	+	0.704781i
$31$	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
$33$	1.55842	+	0.469882i	0.271286	+	0.0817959i
$34$		−	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
$39$	2.37228	+	2.52434i	0.379869	+	0.404218i
$40$	0.686141	−	2.12819i	0.108488	−	0.336497i
$41$	7.37228			1.15136			0.575678	−	0.817676i	$-0.304738\pi$
$41$	7.37228			1.15136			0.575678	+	0.817676i	$0.304738\pi$
$42$	−4.55842	−	0.469882i	−0.703380	−	0.0725044i
$43$		−	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
$45$	6.24456	+	2.45060i	0.930884	+	0.365314i
$46$	0.686141	+	1.18843i	0.101166	+	0.175225i
$47$	−7.37228	−	4.25639i	−1.07536	−	0.620858i	−0.145717	−	0.989326i	$-0.546549\pi$
$47$	−7.37228	−	4.25639i	−1.07536	−	0.620858i	−0.929640	+	0.368468i	$0.879882\pi$
$48$	−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
$51$	−11.0000	−	3.31662i	−1.54031	−	0.464420i
$52$	−1.00000	−	1.73205i	−0.138675	−	0.240192i
$53$	2.18614	+	3.78651i	0.300290	+	0.520117i	0.976201	−	0.216866i	$-0.0695834\pi$
$53$	2.18614	+	3.78651i	0.300290	+	0.520117i	−0.675912	+	0.736982i	$0.736250\pi$
$54$	−0.872281	−	5.12241i	−0.118702	−	0.697072i
$55$	−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	$-0.840938\pi$
$59$	−6.55842	−	11.3595i	−0.853834	−	1.47888i	0.0238889	−	0.999715i	$-0.492395\pi$
$60$	−3.18614	−	2.20193i	−0.411329	−	0.284268i
$61$	−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
$63$	−3.05842	+	7.32435i	−0.385325	+	0.922781i
$64$	1.00000			0.125000
$65$	1.37228	−	4.25639i	0.170211	−	0.527940i
$66$	−1.18614	+	1.11469i	−0.146004	+	0.137209i
$67$	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	$0.168559\pi$
$71$			8.51278i			1.01028i	−0.863037	+	0.505140i	$0.831441\pi$
$72$	−0.186141	+	2.99422i	−0.0219369	+	0.352872i
$73$	−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
$75$	−1.12772	−	8.58652i	−0.130218	−	0.991485i
$76$			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
$81$	−8.93070	−	1.11469i	−0.992300	−	0.123855i
$82$	−3.68614	+	6.38458i	−0.407066	+	0.705059i
$83$		−	11.8294i		−	1.29845i	−0.760598	−	0.649223i	$-0.775094\pi$
$83$		−	11.8294i		−	1.29845i	0.760598	−	0.649223i	$-0.224906\pi$
$84$	2.68614	−	3.71277i	0.293082	−	0.405096i
$85$	3.11684	+	14.5012i	0.338069	+	1.57288i
$86$	0.941578	+	0.543620i	0.101533	+	0.0586201i
$87$	−4.18614	+	3.93398i	−0.448801	+	0.421767i
$88$	0.813859	−	0.469882i	0.0867577	−	0.0500896i
$89$	−0.686141	+	1.18843i	−0.0727308	+	0.125973i	−0.900097	−	0.435689i	$-0.856505\pi$
$89$	−0.686141	+	1.18843i	−0.0727308	+	0.125973i	0.827366	+	0.561662i	$0.189838\pi$
$90$	−5.24456	+	4.18265i	−0.552825	+	0.440890i
$91$	5.00000	+	1.73205i	0.524142	+	0.181568i
$92$	−1.37228			−0.143070
$93$	12.5584	+	3.78651i	1.30225	+	0.392642i
$94$	7.37228	−	4.25639i	0.760393	−	0.439013i
$95$	−5.74456	+	5.19615i	−0.589380	+	0.533114i
$96$	0.500000	−	1.65831i	0.0510310	−	0.169251i
$97$	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	$0.0106720\pi$
$101$	5.31386	+	9.20387i	0.528749	+	0.915820i	−0.470689	+	0.882299i	$0.655995\pi$
$102$	8.37228	−	7.86797i	0.828979	−	0.779045i
$103$	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
$105$	10.1861	−	1.11469i	0.994066	−	0.108783i
$106$	−4.37228			−0.424674
$107$	−3.12772	+	5.41737i	−0.302368	+	0.523717i	−0.976672	−	0.214737i	$-0.931110\pi$
$107$	−3.12772	+	5.41737i	−0.302368	+	0.523717i	0.674304	+	0.738454i	$0.264444\pi$
$108$	4.87228	+	1.80579i	0.468835	+	0.173762i
$109$	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	$-0.743944\pi$
$113$	−14.7446			−1.38705			−0.693526	+	0.720432i	$0.743944\pi$
$114$	5.74456	+	1.73205i	0.538028	+	0.162221i
$115$	−2.05842	−	2.27567i	−0.191949	−	0.212207i
$116$	2.87228	−	1.65831i	0.266685	−	0.153970i
$117$	−0.372281	+	5.98844i	−0.0344174	+	0.553631i
$118$	13.1168			1.20750
$119$	−17.2337	+	3.31662i	−1.57981	+	0.304034i
$120$	3.50000	−	1.65831i	0.319505	−	0.151383i
$121$	−5.05842	+	8.76144i	−0.459857	+	0.796495i
$122$	11.0584	−	6.38458i	1.00118	−	0.578033i
$123$	8.74456	+	9.30506i	0.788471	+	0.839009i
$124$	−6.55842	−	3.78651i	−0.588964	−	0.340038i
$125$	−9.00000	+	6.63325i	−0.804984	+	0.593296i
$126$	−4.81386	−	6.31084i	−0.428853	−	0.562215i
$127$			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
$129$	1.37228	−	1.28962i	0.120823	−	0.113545i
$130$	3.00000	+	3.31662i	0.263117	+	0.290887i
$131$	5.18614	−	8.98266i	0.453115	−	0.784819i	−0.545462	−	0.838135i	$-0.683646\pi$
$131$	5.18614	−	8.98266i	0.453115	−	0.784819i	0.998578	+	0.0533167i	$0.0169793\pi$
$132$	−0.372281	−	1.58457i	−0.0324029	−	0.137919i
$133$	−6.00000	−	6.92820i	−0.520266	−	0.600751i
$134$			2.37686i			0.205330i
$135$	4.31386	+	10.7884i	0.371278	+	0.928522i
$136$	−5.74456	+	3.31662i	−0.492592	+	0.284398i
$137$	4.37228	+	7.57301i	0.373549	+	0.647006i	0.990109	−	0.140302i	$-0.0448074\pi$
$137$	4.37228	+	7.57301i	0.373549	+	0.647006i	−0.616560	+	0.787308i	$0.711474\pi$
$138$	−0.686141	+	2.27567i	−0.0584082	+	0.193718i
$139$			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
$144$	−2.50000	−	1.65831i	−0.208333	−	0.138193i
$145$	7.05842	+	2.27567i	0.586170	+	0.188984i
$146$	2.00000			0.165521
$147$	1.05842	+	12.0781i	0.0872972	+	0.996182i
$148$			8.21782i			0.675501i
$149$	7.80298	+	4.50506i	0.639245	+	0.369069i	0.784324	−	0.620352i	$-0.213010\pi$
$149$	7.80298	+	4.50506i	0.639245	+	0.369069i	−0.145078	+	0.989420i	$0.546343\pi$
$150$	8.00000	+	3.31662i	0.653197	+	0.270801i
$151$	−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
$156$	1.00000	−	3.31662i	0.0800641	−	0.265543i
$157$	−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
$159$	−2.18614	+	7.25061i	−0.173372	+	0.575011i
$160$	−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
$165$	2.06930	−	2.99422i	0.161095	−	0.233100i
$166$	10.2446	+	5.91470i	0.795132	+	0.459070i
$167$		−	14.6487i		−	1.13355i	−0.823873	−	0.566775i	$-0.808191\pi$
$167$		−	14.6487i		−	1.13355i	0.823873	−	0.566775i	$-0.191809\pi$
$168$	1.87228	+	4.18265i	0.144450	+	0.322698i
$169$	−9.00000			−0.692308
$170$	−14.1168	−	4.55134i	−1.08271	−	0.349072i
$171$	5.74456	−	8.66025i	0.439298	−	0.662266i
$172$	−0.941578	+	0.543620i	−0.0717947	+	0.0414507i
$173$	14.7446	+	8.51278i	1.12101	+	0.647214i	0.941658	−	0.336571i	$-0.109267\pi$
$173$	14.7446	+	8.51278i	1.12101	+	0.647214i	0.179350	+	0.983785i	$0.442600\pi$
$174$	−1.31386	−	5.59230i	−0.0996034	−	0.423951i
$175$	−7.61684	−	10.8159i	−0.575779	−	0.817605i
$176$			0.939764i			0.0708374i
$177$	6.55842	−	21.7518i	0.492961	−	1.63497i
$178$	−0.686141	−	1.18843i	−0.0514284	−	0.0890766i
$179$	20.4891	−	11.8294i	1.53143	−	0.884171i	0.532133	−	0.846661i	$-0.321391\pi$
$179$	20.4891	−	11.8294i	1.53143	−	0.884171i	0.999296	−	0.0375102i	$-0.0119427\pi$
$180$	−1.00000	−	6.63325i	−0.0745356	−	0.494413i
$181$			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
$186$	−9.55842	+	8.98266i	−0.700858	+	0.658641i
$187$	−3.11684	+	5.39853i	−0.227926	+	0.394780i
$188$			8.51278i			0.620858i
$189$	−12.8723	+	4.82746i	−0.936321	+	0.351146i
$190$	−1.62772	−	7.57301i	−0.118087	−	0.549404i
$191$	14.7446	+	8.51278i	1.06688	+	0.615963i	0.927327	−	0.374252i	$-0.122100\pi$
$191$	14.7446	+	8.51278i	1.06688	+	0.615963i	0.139552	+	0.990215i	$0.455434\pi$
$192$	1.18614	+	1.26217i	0.0856023	+	0.0910892i
$193$	−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
$195$	7.00000	−	3.31662i	0.501280	−	0.237508i
$196$	1.00000	−	6.92820i	0.0714286	−	0.494872i
$197$	14.2337			1.01411			0.507054	−	0.861914i	$-0.330734\pi$
$197$	14.2337			1.01411			0.507054	+	0.861914i	$0.330734\pi$
$198$	−2.81386	−	0.174928i	−0.199972	−	0.0124316i
$199$	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
$201$	3.94158	+	1.18843i	0.278017	+	0.0838254i
$202$	−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
$207$	3.43070	+	2.27567i	0.238450	+	0.158170i
$208$	−1.00000	+	1.73205i	−0.0693375	+	0.120096i
$209$	−3.25544			−0.225183
$210$	−4.12772	+	9.37880i	−0.284840	+	0.647199i
$211$	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
$213$	−10.7446	+	10.0974i	−0.736205	+	0.691859i
$214$	−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
$219$	1.00000	−	3.31662i	0.0675737	−	0.224117i
$220$	−1.55842	+	1.40965i	−0.105069	+	0.0950383i
$221$	−11.4891	+	6.63325i	−0.772842	+	0.446201i
$222$	13.6277	+	4.10891i	0.914633	+	0.275772i
$223$	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
$225$	9.50000	−	11.6082i	0.633333	−	0.773879i
$226$	7.37228	−	12.7692i	0.490397	−	0.849392i
$227$	18.0475	−	10.4198i	1.19786	−	0.691584i	0.237781	−	0.971319i	$-0.423580\pi$
$227$	18.0475	−	10.4198i	1.19786	−	0.691584i	0.960077	+	0.279735i	$0.0902467\pi$
$228$	−4.37228	+	4.10891i	−0.289561	+	0.272119i
$229$	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
$231$	3.48913	+	2.52434i	0.229568	+	0.166089i
$232$			3.31662i			0.217747i
$233$	0.255437	−	0.442430i	0.0167343	−	0.0289846i	−0.857537	−	0.514422i	$-0.828006\pi$
$233$	0.255437	−	0.442430i	0.0167343	−	0.0289846i	0.874271	+	0.485438i	$0.161340\pi$
$234$	−5.00000	−	3.31662i	−0.326860	−	0.216815i
$235$	−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	$0.277350\pi$
$239$			23.6588i			1.53036i	−0.643816	+	0.765180i	$0.722650\pi$
$240$	−0.313859	+	3.86025i	−0.0202595	+	0.249178i
$241$	−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
$243$	−9.18614	−	12.5942i	−0.589291	−	0.807921i
$244$			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
$249$	14.9307	−	14.0313i	0.946195	−	0.889200i
$250$	−1.24456	−	11.1109i	−0.0787131	−	0.702712i
$251$	−1.11684			−0.0704946			−0.0352473	−	0.999379i	$-0.511222\pi$
$251$	−1.11684			−0.0704946			−0.0352473	+	0.999379i	$0.511222\pi$
$252$	7.87228	−	1.01350i	0.495907	−	0.0638446i
$253$		−	1.28962i		−	0.0810777i
$254$	−6.55842	−	3.78651i	−0.411512	−	0.237587i
$255$	−14.6060	+	21.1345i	−0.914661	+	1.32349i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	1.62772	+	0.939764i	0.101534	+	0.0586209i	0.549907	−	0.835226i	$-0.314663\pi$
$257$	1.62772	+	0.939764i	0.101534	+	0.0586209i	−0.448373	+	0.893847i	$0.647996\pi$
$258$	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
$261$	−9.93070	−	0.617359i	−0.614695	−	0.0382135i
$262$	5.18614	+	8.98266i	0.320401	+	0.554951i
$263$	−3.68614	−	6.38458i	−0.227297	−	0.393690i	0.729709	−	0.683758i	$-0.239656\pi$
$263$	−3.68614	−	6.38458i	−0.227297	−	0.393690i	−0.957006	+	0.290068i	$0.906322\pi$
$264$	1.55842	+	0.469882i	0.0959142	+	0.0289192i
$265$	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	$-0.875727\pi$
$269$	−12.9891	−	22.4978i	−0.791961	−	1.37172i	0.132790	−	0.991144i	$-0.457606\pi$
$270$	−11.5000	−	1.65831i	−0.699868	−	0.100922i
$271$	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
$273$	3.74456	+	8.36530i	0.226631	+	0.506291i
$274$	−8.74456			−0.528278
$275$	−4.67527	−	0.469882i	−0.281929	−	0.0283349i
$276$	−1.62772	−	1.73205i	−0.0979772	−	0.104257i
$277$	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	$-0.889693\pi$
$281$		−	11.3870i		−	0.679290i	0.940554	−	0.339645i	$-0.110307\pi$
$282$	14.1168	+	4.25639i	0.840646	+	0.253464i
$283$	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
$285$	−13.3723	−	1.08724i	−0.792106	−	0.0644026i
$286$			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
$291$	17.9307	+	19.0800i	1.05112	+	1.11849i
$292$	−1.00000	+	1.73205i	−0.0585206	+	0.101361i
$293$			21.7244i			1.26915i	0.772861	+	0.634576i	$0.218825\pi$
$293$			21.7244i			1.26915i	−0.772861	+	0.634576i	$0.781175\pi$
$294$	−10.9891	−	5.12241i	−0.640899	−	0.298745i
$295$	−28.6753	+	6.16337i	−1.66954	+	0.358845i
$296$	−7.11684	−	4.10891i	−0.413658	−	0.238826i
$297$	−1.69702	+	4.57879i	−0.0984708	+	0.265689i
$298$	−7.80298	+	4.50506i	−0.452015	+	0.260971i
$299$	1.37228	−	2.37686i	0.0793611	−	0.137457i
$300$	−6.87228	+	5.26989i	−0.396771	+	0.304257i
$301$	0.941578	−	2.71810i	0.0542717	−	0.156669i
$302$	9.11684			0.524615
$303$	−5.31386	+	17.6241i	−0.305273	+	1.01248i
$304$	3.00000	−	1.73205i	0.172062	−	0.0993399i
$305$	−21.1753	+	19.1537i	−1.21249	+	1.09674i
$306$	19.8614	+	1.23472i	1.13540	+	0.0705841i
$307$	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	$0.0278155\pi$
$311$	10.1168	+	17.5229i	0.573674	+	0.993632i	−0.422511	+	0.906358i	$0.638851\pi$
$312$	2.37228	+	2.52434i	0.134304	+	0.142912i
$313$	−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
$315$	13.4891	+	11.5344i	0.760026	+	0.649893i
$316$	9.11684			0.512863
$317$	0.558422	−	0.967215i	0.0313641	−	0.0543242i	−0.849917	−	0.526916i	$-0.823348\pi$
$317$	0.558422	−	0.967215i	0.0313641	−	0.0543242i	0.881281	+	0.472592i	$0.156682\pi$
$318$	−5.18614	−	5.51856i	−0.290824	−	0.309465i
$319$	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
$324$	3.50000	+	8.29156i	0.194444	+	0.460642i
$325$	−8.11684	−	5.84096i	−0.450241	−	0.323998i
$326$	3.00000	−	1.73205i	0.166155	−	0.0959294i
$327$	−4.05842	+	13.4603i	−0.224431	+	0.744354i
$328$	7.37228			0.407066
$329$	−14.7446	−	17.0256i	−0.812894	−	0.938649i
$330$	1.55842	+	3.28917i	0.0857883	+	0.181063i
$331$	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
$333$	13.6277	−	20.5446i	0.746794	−	1.12583i
$334$	12.6861	+	7.32435i	0.694155	+	0.400770i
$335$	−1.11684	−	5.19615i	−0.0610197	−	0.283896i
$336$	−4.55842	−	0.469882i	−0.248682	−	0.0256342i
$337$			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
$339$	−17.4891	−	18.6101i	−0.949879	−	1.01076i
$340$	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
$345$	0.430703	−	5.29734i	0.0231883	−	0.285199i
$346$	−14.7446	+	8.51278i	−0.792673	+	0.457650i
$347$	−0.941578	−	1.63086i	−0.0505466	−	0.0875492i	0.839645	−	0.543135i	$-0.182763\pi$
$347$	−0.941578	−	1.63086i	−0.0505466	−	0.0875492i	−0.890192	+	0.455586i	$0.849430\pi$
$348$	5.50000	+	1.65831i	0.294831	+	0.0888949i
$349$		−	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	−0.755413	−	0.655249i	$-0.772564\pi$
$353$	−10.6277	+	6.13592i	−0.565656	+	0.326582i	0.189756	+	0.981831i	$0.439230\pi$
$354$	15.5584	+	16.5557i	0.826921	+	0.879924i
$355$	18.1168	+	5.84096i	0.961542	+	0.310006i
$356$	1.37228			0.0727308
$357$	−24.6277	−	17.8178i	−1.30344	−	0.943020i
$358$			23.6588i			1.25041i
$359$	23.7446	+	13.7089i	1.25319	+	0.723530i	0.971742	−	0.236047i	$-0.0758518\pi$
$359$	23.7446	+	13.7089i	1.25319	+	0.723530i	0.281448	+	0.959576i	$0.409185\pi$
$360$	6.24456	+	2.45060i	0.329117	+	0.129158i
$361$	−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
$366$	21.1753	+	6.38458i	1.10685	+	0.333727i
$367$	−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
$369$	−1.37228	+	22.0742i	−0.0714381	+	1.14914i
$370$	−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
$375$	−19.0475	−	3.49155i	−0.983611	−	0.180303i
$376$	−7.37228	−	4.25639i	−0.380196	−	0.219506i
$377$			6.63325i			0.341630i
$378$	2.25544	−	13.5615i	0.116007	−	0.697526i
$379$	−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
$381$	−9.55842	+	8.98266i	−0.489693	+	0.460196i
$382$	−14.7446	+	8.51278i	−0.754397	+	0.435552i
$383$	−13.5475	−	7.82168i	−0.692247	−	0.399669i	0.112206	−	0.993685i	$-0.464208\pi$
$383$	−13.5475	−	7.82168i	−0.692247	−	0.399669i	−0.804453	+	0.594016i	$0.797542\pi$
$384$	−1.68614	+	0.396143i	−0.0860455	+	0.0202156i
$385$	0.675266	−	5.51856i	0.0344147	−	0.281252i
$386$		−	17.9653i		−	0.914411i
$387$	3.25544	+	0.202380i	0.165483	+	0.0102875i
$388$	−7.55842	−	13.0916i	−0.383721	−	0.664624i
$389$	−6.51087	+	3.75906i	−0.330114	+	0.190592i	−0.655892	−	0.754855i	$-0.727707\pi$
$389$	−6.51087	+	3.75906i	−0.330114	+	0.190592i	0.325777	+	0.945446i	$0.394374\pi$
$390$	−0.627719	+	7.72049i	−0.0317858	+	0.390942i
$391$			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
$396$	1.55842	−	2.34941i	0.0783137	−	0.118062i
$397$	−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
$399$	1.62772	−	15.7908i	0.0814879	−	0.790531i
$400$	4.55842	−	2.05446i	0.227921	−	0.102723i
$401$	−14.3139	−	8.26411i	−0.714800	−	0.412690i	0.0980358	−	0.995183i	$-0.468744\pi$
$401$	−14.3139	−	8.26411i	−0.714800	−	0.412690i	−0.812836	+	0.582493i	$0.802077\pi$
$402$	−3.00000	+	2.81929i	−0.149626	+	0.140613i
$403$	13.1168	−	7.57301i	0.653397	−	0.377239i
$404$	5.31386	−	9.20387i	0.264374	−	0.457910i
$405$	−8.50000	+	18.2414i	−0.422368	+	0.906424i
$406$	−5.74456	−	6.63325i	−0.285098	−	0.329203i
$407$	−7.72281			−0.382806
$408$	−11.0000	−	3.31662i	−0.544581	−	0.164197i
$409$	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
$411$	−4.37228	+	14.5012i	−0.215669	+	0.715292i
$412$	−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
$417$	−10.3723	+	9.74749i	−0.507933	+	0.477337i
$418$	1.62772	−	2.81929i	0.0796143	−	0.137896i
$419$	−6.51087			−0.318077			−0.159039	−	0.987272i	$-0.550839\pi$
$419$	−6.51087			−0.318077			−0.159039	+	0.987272i	$0.550839\pi$
$420$	−6.05842	−	8.26411i	−0.295621	−	0.403247i
$421$	−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
$423$	14.1168	−	21.2819i	0.686384	−	1.03476i
$424$	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
$429$	3.11684	+	0.939764i	0.150483	+	0.0453722i
$430$	1.80298	−	1.63086i	0.0869476	−	0.0786471i
$431$	−14.7446	+	8.51278i	−0.710221	+	0.410046i	−0.811143	−	0.584848i	$-0.801154\pi$
$431$	−14.7446	+	8.51278i	−0.710221	+	0.410046i	0.100922	+	0.994894i	$0.467821\pi$
$432$	−0.872281	−	5.12241i	−0.0419677	−	0.246452i
$433$	−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
$435$	5.50000	+	11.6082i	0.263705	+	0.556570i
$436$	4.05842	−	7.02939i	0.194363	−	0.336647i
$437$	−4.11684	+	2.37686i	−0.196935	+	0.113701i
$438$	2.37228	+	2.52434i	0.113352	+	0.120618i
$439$	−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
$441$	−13.9891	+	15.6622i	−0.666149	+	0.745819i
$442$		−	13.2665i		−	0.631023i
$443$	−4.50000	+	7.79423i	−0.213801	+	0.370315i	−0.952901	−	0.303281i	$-0.901918\pi$
$443$	−4.50000	+	7.79423i	−0.213801	+	0.370315i	0.739100	+	0.673596i	$0.235251\pi$
$444$	−10.3723	+	9.74749i	−0.492247	+	0.462596i
$445$	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	$0.159835\pi$
$449$			20.3971i			0.962598i	−0.876557	+	0.481299i	$0.840165\pi$
$450$	5.30298	+	14.0313i	0.249985	+	0.661443i
$451$	6.00000	−	3.46410i	0.282529	−	0.163118i
$452$	7.37228	+	12.7692i	0.346763	+	0.600611i
$453$	4.55842	−	15.1186i	0.214173	−	0.710333i
$454$			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
$459$	11.9783	−	32.3191i	0.559097	−	1.50852i
$460$	−0.941578	+	2.92048i	−0.0439013	+	0.136168i
$461$	−23.4891			−1.09400			−0.546999	−	0.837133i	$-0.684230\pi$
$461$	−23.4891			−1.09400			−0.546999	+	0.837133i	$0.684230\pi$
$462$	−3.93070	+	1.75950i	−0.182873	+	0.0818595i
$463$			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
$465$	16.6753	−	24.1287i	0.773297	−	1.11894i
$466$	0.255437	+	0.442430i	0.0118329	+	0.0204952i
$467$	−31.5475	−	18.2140i	−1.45985	−	0.842843i	−0.460843	−	0.887482i	$-0.652453\pi$
$467$	−31.5475	−	18.2140i	−1.45985	−	0.842843i	−0.999003	+	0.0446389i	$0.985786\pi$
$468$	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
$471$	4.00000	−	13.2665i	0.184310	−	0.611288i
$472$	−6.55842	−	11.3595i	−0.301876	−	0.522864i
$473$	−0.510875	−	0.884861i	−0.0234900	−	0.0406859i
$474$	4.55842	−	15.1186i	0.209375	−	0.694419i
$475$	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	0.895672	−	0.444715i	$-0.146695\pi$
$479$	1.37228	+	2.37686i	0.0627011	+	0.108602i	−0.832971	+	0.553317i	$0.813362\pi$
$480$	−3.18614	−	2.20193i	−0.145427	−	0.100504i
$481$	−14.2337	−	8.21782i	−0.649000	−	0.374701i
$482$		−	19.2549i		−	0.877038i
$483$	6.25544	+	0.644810i	0.284632	+	0.0293399i
$484$	10.1168			0.459857
$485$	10.3723	−	32.1716i	0.470981	−	1.46084i
$486$	15.5000	−	1.65831i	0.703094	−	0.0752226i
$487$	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	$-0.760983\pi$
$491$		−	30.2372i		−	1.36458i	0.731080	−	0.682292i	$-0.239017\pi$
$492$	3.68614	−	12.2255i	0.166184	−	0.551170i
$493$	−11.0000	−	19.0526i	−0.495415	−	0.858084i
$494$	6.00000	−	3.46410i	0.269953	−	0.155857i
$495$	6.23369	−	0.939764i	0.280183	−	0.0422392i
$496$			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
$501$	18.4891	−	17.3754i	0.826033	−	0.776276i
$502$	0.558422	−	0.967215i	0.0249236	−	0.0431689i
$503$			6.13592i			0.273587i	0.990600	+	0.136793i	$0.0436797\pi$
$503$			6.13592i			0.273587i	−0.990600	+	0.136793i	$0.956320\pi$
$504$	−3.05842	+	7.32435i	−0.136233	+	0.326252i
$505$	23.2337	−	4.99377i	1.03389	−	0.222220i
$506$	1.11684	+	0.644810i	0.0496498	+	0.0286653i
$507$	−10.6753	−	11.3595i	−0.474105	−	0.504494i
$508$	6.55842	−	3.78651i	0.290983	−	0.167999i
$509$	−5.87228	+	10.1711i	−0.260284	+	0.450826i	−0.966317	−	0.257353i	$-0.917150\pi$
$509$	−5.87228	+	10.1711i	−0.260284	+	0.450826i	0.706033	+	0.708179i	$0.250483\pi$
$510$	−11.0000	−	23.2164i	−0.487088	−	1.02804i
$511$	−1.00000	−	5.19615i	−0.0442374	−	0.229864i
$512$	1.00000			0.0441942
$513$	17.7446	−	3.02167i	0.783442	−	0.133410i
$514$	−1.62772	+	0.939764i	−0.0717956	+	0.0414512i
$515$	−3.17527	−	3.51039i	−0.139919	−	0.154686i
$516$	−1.80298	−	0.543620i	−0.0793720	−	0.0239316i
$517$	−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	0.658117	−	0.752916i	$-0.271353\pi$
$521$	−7.37228	−	12.7692i	−0.322986	−	0.559427i	−0.981103	+	0.193488i	$0.938020\pi$
$522$	5.50000	−	8.29156i	0.240728	−	0.362912i
$523$	−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
$525$	4.61684	−	22.4429i	0.201496	−	0.979489i
$526$	7.37228			0.321447
$527$	−25.1168	+	43.5036i	−1.09411	+	1.89505i
$528$	−1.18614	+	1.11469i	−0.0516201	+	0.0485107i
$529$	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
$534$	0.686141	−	2.27567i	0.0296922	−	0.0984779i
$535$	9.38316	+	10.3735i	0.405669	+	0.448484i
$536$	2.05842	−	1.18843i	0.0889103	−	0.0513324i
$537$	39.2337	+	11.8294i	1.69306	+	0.510476i
$538$	25.9783			1.12000
$539$	6.51087	+	0.939764i	0.280443	+	0.0404785i
$540$	7.18614	−	9.13014i	0.309242	−	0.392898i
$541$	−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
$543$	−10.1168	+	9.50744i	−0.434155	+	0.408003i
$544$	5.74456	+	3.31662i	0.246296	+	0.142199i
$545$	17.7446	−	3.81396i	0.760094	−	0.163372i
$546$	−9.11684	−	0.939764i	−0.390165	−	0.0402182i
$547$			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
$549$	21.1753	−	31.9229i	0.903738	−	1.36244i
$550$	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
$555$	−31.7228	−	2.57924i	−1.34656	−	0.109483i
$556$	7.11684	−	4.10891i	0.301821	−	0.174257i
$557$	−13.9307	−	24.1287i	−0.590263	−	1.02237i	−0.994197	−	0.107577i	$-0.965691\pi$
$557$	−13.9307	−	24.1287i	−0.590263	−	1.02237i	0.403934	−	0.914788i	$-0.367643\pi$
$558$	−22.6753	−	1.40965i	−0.959921	−	0.0596751i
$559$		−	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	−0.525997	−	0.850487i	$-0.676308\pi$
$563$	−1.24456	+	0.718549i	−0.0524521	+	0.0302832i	0.473545	+	0.880770i	$0.342974\pi$
$564$	−10.7446	+	10.0974i	−0.452428	+	0.425175i
$565$	−10.1168	+	31.3793i	−0.425619	+	1.32014i
$566$	−16.0000			−0.672530
$567$	−21.3614	−	10.5209i	−0.897095	−	0.441838i
$568$			8.51278i			0.357188i
$569$	9.86141	+	5.69349i	0.413412	+	0.238683i	0.692255	−	0.721653i	$-0.256618\pi$
$569$	9.86141	+	5.69349i	0.413412	+	0.238683i	−0.278843	+	0.960337i	$0.589951\pi$
$570$	7.62772	−	11.0371i	0.319490	−	0.462294i
$571$	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
$576$	−0.186141	+	2.99422i	−0.00775586	+	0.124759i
$577$	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
$579$	−29.7921	−	8.98266i	−1.23812	−	0.373307i
$580$	−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
$585$	12.4891	+	4.90120i	0.516362	+	0.202640i
$586$	−18.8139	−	10.8622i	−0.777193	−	0.448713i
$587$			0.0549029i			0.00226608i	0.999999	+	0.00113304i	$0.000360659\pi$
$587$			0.0549029i			0.00226608i	−0.999999	+	0.00113304i	$0.999639\pi$
$588$	9.93070	−	6.95565i	0.409535	−	0.286846i
$589$	−26.2337			−1.08094
$590$	9.00000	−	27.9152i	0.370524	−	1.14925i
$591$	16.8832	+	17.9653i	0.694480	+	0.738994i
$592$	7.11684	−	4.10891i	0.292500	−	0.168875i
$593$	23.7446	+	13.7089i	0.975072	+	0.562958i	0.900779	−	0.434278i	$-0.142997\pi$
$593$	23.7446	+	13.7089i	0.975072	+	0.562958i	0.0742935	+	0.997236i	$0.476330\pi$
$594$	−3.11684	−	3.75906i	−0.127886	−	0.154236i
$595$	−4.76631	+	38.9523i	−0.195400	+	1.59689i
$596$		−	9.01011i		−	0.369069i
$597$	2.13859	+	0.644810i	0.0875268	+	0.0263903i
$598$	1.37228	+	2.37686i	0.0561168	+	0.0971971i
$599$	−1.62772	+	0.939764i	−0.0665068	+	0.0383977i	−0.532885	−	0.846188i	$-0.678892\pi$
$599$	−1.62772	+	0.939764i	−0.0665068	+	0.0383977i	0.466378	+	0.884586i	$0.345559\pi$
$600$	−1.12772	−	8.58652i	−0.0460389	−	0.350543i
$601$			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
$606$	−12.6060	−	13.4140i	−0.512082	−	0.544906i
$607$	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
$609$	−13.8723	+	6.20965i	−0.562133	+	0.251628i
$610$	−6.00000	−	27.9152i	−0.242933	−	1.13025i
$611$	−14.7446	−	8.51278i	−0.596501	−	0.344390i
$612$	−11.0000	+	16.5831i	−0.444649	+	0.670333i
$613$	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
$615$	25.8030	−	12.2255i	1.04048	−	0.492982i
$616$	2.44158	−	0.469882i	0.0983740	−	0.0189321i
$617$	−46.9783			−1.89127			−0.945637	−	0.325225i	$-0.894560\pi$
$617$	−46.9783			−1.89127			−0.945637	+	0.325225i	$0.894560\pi$
$618$	−1.05842	+	3.51039i	−0.0425760	+	0.141209i
$619$	−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
$621$	1.19702	+	7.02939i	0.0480346	+	0.282080i
$622$	−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
$627$	−3.86141	−	4.10891i	−0.154210	−	0.164094i
$628$	−4.00000	+	6.92820i	−0.159617	+	0.276465i
$629$	54.5109			2.17349
$630$	−16.7337	+	5.91470i	−0.666686	+	0.235647i
$631$	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
$633$	19.2554	+	20.4897i	0.765335	+	0.814391i
$634$	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
$639$	−25.4891	−	1.58457i	−1.00833	−	0.0626848i
$640$	1.50000	+	1.65831i	0.0592927	+	0.0655506i
$641$	−7.80298	+	4.50506i	−0.308199	+	0.177939i	−0.646120	−	0.763235i	$-0.723610\pi$
$641$	−7.80298	+	4.50506i	−0.308199	+	0.177939i	0.337921	+	0.941174i	$0.390276\pi$
$642$	3.12772	−	10.3735i	0.123441	−	0.409408i
$643$	−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
$645$	−1.80298	−	3.80534i	−0.0709925	−	0.149835i
$646$	−11.4891	+	19.8997i	−0.452034	+	0.782945i
$647$	36.4307	−	21.0333i	1.43224	−	0.826903i	0.434947	−	0.900456i	$-0.356767\pi$
$647$	36.4307	−	21.0333i	1.43224	−	0.826903i	0.997291	+	0.0735524i	$0.0234336\pi$
$648$	−8.93070	−	1.11469i	−0.350831	−	0.0437892i
$649$	−10.6753	−	6.16337i	−0.419041	−	0.241933i
$650$	9.11684	−	4.10891i	0.357592	−	0.161165i
$651$	28.1168	+	20.3422i	1.10199	+	0.797273i
$652$			3.46410i			0.135665i
$653$	8.18614	−	14.1788i	0.320348	−	0.554860i	−0.660211	−	0.751080i	$-0.729533\pi$
$653$	8.18614	−	14.1788i	0.320348	−	0.554860i	0.980560	+	0.196220i	$0.0628667\pi$
$654$	−9.62772	−	10.2448i	−0.376474	−	0.400604i
$655$	−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	$-0.898205\pi$
$659$		−	16.1407i		−	0.628752i	0.949299	−	0.314376i	$-0.101795\pi$
$660$	−3.62772	−	0.294954i	−0.141209	−	0.0114811i
$661$	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
$663$	−22.0000	−	6.63325i	−0.854409	−	0.257614i
$664$		−	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
$669$	1.04755	+	1.11469i	0.0405005	+	0.0430965i
$670$	5.05842	+	1.63086i	0.195424	+	0.0630057i
$671$	−12.0000			−0.463255
$672$	2.68614	−	3.71277i	0.103620	−	0.143223i
$673$		−	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
$675$	25.9198	−	1.77834i	0.997655	−	0.0684483i
$676$	4.50000	+	7.79423i	0.173077	+	0.299778i
$677$	−1.58017	−	0.912312i	−0.0607309	−	0.0350630i	0.469327	−	0.883024i	$-0.344497\pi$
$677$	−1.58017	−	0.912312i	−0.0607309	−	0.0350630i	−0.530058	+	0.847961i	$0.677830\pi$
$678$	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
$681$	34.5584	+	10.4198i	1.32428	+	0.399286i
$682$	3.55842	+	6.16337i	0.136259	+	0.236008i
$683$	−15.9891	−	27.6940i	−0.611807	−	1.05968i	−0.990936	−	0.134337i	$-0.957110\pi$
$683$	−15.9891	−	27.6940i	−0.611807	−	1.05968i	0.379129	−	0.925344i	$-0.376224\pi$
$684$	−10.3723	−	0.644810i	−0.396594	−	0.0246549i
$685$	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
$690$	4.37228	+	3.02167i	0.166450	+	0.115033i
$691$	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
$693$	0.952453	+	7.39809i	0.0361807	+	0.281030i
$694$	1.88316			0.0714836
$695$	17.4891	+	5.63858i	0.663400	+	0.213884i
$696$	−4.18614	+	3.93398i	−0.158675	+	0.149117i
$697$	−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	$0.265731\pi$
$701$			39.2473i			1.48235i	−0.671313	+	0.741174i	$0.734269\pi$
$702$	−1.74456	−	10.2448i	−0.0658443	−	0.386666i
$703$	14.2337	+	24.6535i	0.536834	+	0.929823i
$704$	0.813859	−	0.469882i	0.0306735	−	0.0177093i
$705$	−32.8614	−	2.67181i	−1.23763	−	0.100626i
$706$		−	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
$711$	−22.7921	−	15.1186i	−0.854771	−	0.566991i
$712$	−0.686141	+	1.18843i	−0.0257142	+	0.0445383i
$713$		−	10.3923i		−	0.389195i
$714$	27.7446	−	12.4193i	1.03831	−	0.464781i
$715$	−0.883156	−	4.10891i	−0.0330282	−	0.153665i
$716$	−20.4891	−	11.8294i	−0.765715	−	0.442086i
$717$	−29.8614	+	28.0627i	−1.11519	+	1.04802i
$718$	−23.7446	+	13.7089i	−0.886139	+	0.511613i
$719$	22.3723	−	38.7499i	0.834345	−	1.44513i	−0.0602171	−	0.998185i	$-0.519179\pi$
$719$	22.3723	−	38.7499i	0.834345	−	1.44513i	0.894562	−	0.446943i	$-0.147487\pi$
$720$	−5.24456	+	4.18265i	−0.195453	+	0.155878i
$721$	4.23369	−	3.66648i	0.157671	−	0.136547i
$722$	7.00000			0.260513
$723$	−31.9307	−	9.62747i	−1.18752	−	0.358049i
$724$	6.94158	−	4.00772i	0.257982	−	0.148946i
$725$	9.68614	−	13.4603i	0.359734	−	0.499902i
$726$	5.05842	−	16.7769i	0.187736	−	0.622649i
$727$	−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
$732$	−16.1168	+	15.1460i	−0.595696	+	0.559813i
$733$	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
$735$	26.4307	+	6.03473i	0.974911	+	0.222594i
$736$	−1.37228			−0.0505830
$737$	1.11684	−	1.93443i	0.0411395	−	0.0712557i
$738$	−18.4307	−	12.2255i	−0.678444	−	0.450029i
$739$	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	$-0.370286\pi$
$743$	21.6060			0.792646			0.396323	+	0.918111i	$0.370286\pi$
$744$	12.5584	+	3.78651i	0.460414	+	0.138820i
$745$	14.9416	−	13.5152i	0.547417	−	0.495157i
$746$	−20.2337	+	11.6819i	−0.740808	+	0.427706i
$747$	35.4198	+	2.20193i	1.29594	+	0.0805645i
$748$	6.23369			0.227926
$749$	−12.5109	+	10.8347i	−0.457137	+	0.395893i
$750$	12.5475	−	14.7499i	0.458172	−	0.538590i
$751$	−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
$753$	−1.32473	−	1.40965i	−0.0482760	−	0.0513703i
$754$	−5.74456	−	3.31662i	−0.209205	−	0.120784i
$755$	−19.9307	+	4.28384i	−0.725353	+	0.155905i
$756$	10.6168	+	8.73399i	0.386131	+	0.317652i
$757$		−	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
$759$	1.62772	−	1.52967i	0.0590824	−	0.0555235i
$760$	−5.74456	+	5.19615i	−0.208377	+	0.188484i
$761$	3.51087	−	6.08101i	0.127269	−	0.220437i	−0.795349	−	0.606152i	$-0.792712\pi$
$761$	3.51087	−	6.08101i	0.127269	−	0.220437i	0.922618	+	0.385716i	$0.126045\pi$
$762$	−3.00000	−	12.7692i	−0.108679	−	0.462578i
$763$	4.05842	+	21.0882i	0.146925	+	0.763443i
$764$		−	17.0256i		−	0.615963i
$765$	−44.0000	+	6.63325i	−1.59082	+	0.239826i
$766$	13.5475	−	7.82168i	0.489493	−	0.282609i
$767$	−13.1168	−	22.7190i	−0.473622	−	0.820337i
$768$	0.500000	−	1.65831i	0.0180422	−	0.0598392i
$769$		−	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	−0.361525	−	0.932363i	$-0.617744\pi$
$773$	7.37228	−	4.25639i	0.265163	−	0.153092i	0.626687	+	0.779271i	$0.284410\pi$
$774$	−1.80298	+	2.71810i	−0.0648069	+	0.0977001i
$775$	−37.6753	−	3.78651i	−1.35334	−	0.136015i
$776$	15.1168			0.542663
$777$	3.86141	−	37.4603i	0.138527	−	1.34388i
$778$		−	7.51811i		−	0.269537i
$779$	−22.1168	−	12.7692i	−0.792418	−	0.457503i
$780$	−6.37228	−	4.40387i	−0.228164	−	0.157684i
$781$	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
$786$	−5.18614	+	17.2005i	−0.184984	+	0.613521i
$787$	−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
$789$	3.68614	−	12.2255i	0.131230	−	0.435241i
$790$	−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
$795$	13.9307	+	9.62747i	0.494071	+	0.341451i
$796$	−1.11684	−	0.644810i	−0.0395855	−	0.0228547i
$797$			0.939764i			0.0332881i	0.999861	+	0.0166441i	$0.00529822\pi$
$797$			0.939764i			0.0332881i	−0.999861	+	0.0166441i	$0.994702\pi$
$798$	12.8614	+	9.30506i	0.455289	+	0.329396i
$799$	56.4674			1.99767
$800$	−0.500000	+	4.97494i	−0.0176777	+	0.175891i
$801$	−3.43070	−	2.27567i	−0.121218	−	0.0804069i
$802$	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
$807$	12.9891	−	43.0801i	0.457239	−	1.51649i
$808$	5.31386	+	9.20387i	0.186941	+	0.323791i
$809$	36.4307	−	21.0333i	1.28084	−	0.739491i	0.303834	−	0.952725i	$-0.401733\pi$
$809$	36.4307	−	21.0333i	1.28084	−	0.739491i	0.977001	+	0.213234i	$0.0683998\pi$
$810$	−11.5475	−	16.4819i	−0.405739	−	0.579116i
$811$		−	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
$816$	8.37228	−	7.86797i	0.293088	−	0.275434i
$817$	−1.88316	+	3.26172i	−0.0658833	+	0.114113i
$818$			4.31129i			0.150741i
$819$	−6.11684	+	14.6487i	−0.213740	+	0.511867i
$820$	−16.1168	+	3.46410i	−0.562825	+	0.120972i
$821$	4.06930	+	2.34941i	0.142019	+	0.0819950i	0.569326	−	0.822112i	$-0.307204\pi$
$821$	4.06930	+	2.34941i	0.142019	+	0.0819950i	−0.427307	+	0.904107i	$0.640538\pi$
$822$	−10.3723	−	11.0371i	−0.361775	−	0.384964i
$823$	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
$825$	−4.95245	−	6.45832i	−0.172422	−	0.224850i
$826$	32.7921	+	11.3595i	1.14098	+	0.395248i
$827$	33.0000			1.14752			0.573761	−	0.819023i	$-0.305484\pi$
$827$	33.0000			1.14752			0.573761	+	0.819023i	$0.305484\pi$
$828$	0.255437	−	4.10891i	0.00887706	−	0.142795i
$829$	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
$831$	15.0951	+	4.55134i	0.523643	+	0.157884i
$832$	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
$837$	−13.6753	+	36.8979i	−0.472686	+	1.27538i
$838$	3.25544	−	5.63858i	0.112457	−	0.194782i
$839$	−55.7228			−1.92377			−0.961883	−	0.273463i	$-0.911831\pi$
$839$	−55.7228			−1.92377			−0.961883	+	0.273463i	$0.911831\pi$
$840$	10.1861	−	1.11469i	0.351455	−	0.0384605i
$841$	18.0000			0.620690
$842$	1.05842	−	1.83324i	0.0364756	−	0.0631776i
$843$	14.3723	−	13.5065i	0.495008	−	0.465190i
$844$	−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
$849$	−8.00000	+	26.5330i	−0.274559	+	0.910610i
$850$	−19.3723	+	26.9205i	−0.664464	+	0.923366i
$851$	−9.76631	+	5.63858i	−0.334785	+	0.193288i
$852$	14.1168	+	4.25639i	0.483635	+	0.145821i
$853$	−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
$855$	−14.4891	−	18.1677i	−0.495518	−	0.621322i
$856$	−3.12772	+	5.41737i	−0.106903	+	0.185162i
$857$	21.2554	−	12.2718i	0.726072	−	0.419198i	−0.0909115	−	0.995859i	$-0.528978\pi$
$857$	21.2554	−	12.2718i	0.726072	−	0.419198i	0.816983	+	0.576661i	$0.195645\pi$
$858$	−2.37228	+	2.22938i	−0.0809883	+	0.0761099i
$859$	−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
$861$	13.8030	+	30.8357i	0.470404	+	1.05088i
$862$		−	17.0256i		−	0.579893i
$863$	−6.68614	+	11.5807i	−0.227599	+	0.394213i	−0.957096	−	0.289771i	$-0.906421\pi$
$863$	−6.68614	+	11.5807i	−0.227599	+	0.394213i	0.729497	+	0.683984i	$0.239754\pi$
$864$	4.87228	+	1.80579i	0.165758	+	0.0614342i
$865$	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
$870$	−12.8030	−	1.04095i	−0.434062	−	0.0352916i
$871$	4.11684	−	2.37686i	0.139494	−	0.0805369i
$872$	4.05842	+	7.02939i	0.137436	+	0.238045i
$873$	−2.81386	+	45.2632i	−0.0952347	+	1.53193i
$874$		−	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
$879$	−27.4198	+	25.7682i	−0.924848	+	0.869139i
$880$	2.00000	+	0.644810i	0.0674200	+	0.0217365i
$881$	0.350532			0.0118097			0.00590486	−	0.999983i	$-0.498120\pi$
$881$	0.350532			0.0118097			0.00590486	+	0.999983i	$0.498120\pi$
$882$	−6.56930	−	19.9460i	−0.221200	−	0.671618i
$883$		−	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
$885$	−41.7921	−	28.8824i	−1.40483	−	0.970872i
$886$	−4.50000	−	7.79423i	−0.151180	−	0.261852i
$887$	7.03667	+	4.06262i	0.236268	+	0.136410i	0.613460	−	0.789725i	$-0.289777\pi$
$887$	7.03667	+	4.06262i	0.236268	+	0.136410i	−0.377192	+	0.926135i	$0.623110\pi$
$888$	−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
$891$	−7.79211	+	3.28917i	−0.261046	+	0.110191i
$892$	−0.441578	−	0.764836i	−0.0147851	−	0.0256086i
$893$	14.7446	+	25.5383i	0.493408	+	0.854608i
$894$	−14.9416	−	4.50506i	−0.499721	−	0.150672i
$895$	−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
$900$	−14.8030	−	2.42315i	−0.493433	−	0.0807716i
$901$	−25.1168	−	14.5012i	−0.836763	−	0.483106i
$902$			6.92820i			0.230684i
$903$	4.54755	−	2.03562i	0.151333	−	0.0677412i
$904$	−14.7446			−0.490397
$905$	17.0584	+	5.49972i	0.567041	+	0.182817i
$906$	10.8139	+	11.5070i	0.359266	+	0.382294i
$907$	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	$-0.784547\pi$
$911$		−	37.8102i		−	1.25271i	0.779539	−	0.626353i	$-0.215453\pi$
$912$	5.74456	+	1.73205i	0.190221	+	0.0573539i
$913$	−5.55842	−	9.62747i	−0.183957	−	0.318623i
$914$	−2.44158	+	1.40965i	−0.0807602	+	0.0466269i
$915$	−49.2921	−	4.00772i	−1.62955	−	0.132491i
$916$		−	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
$921$	28.6060	+	30.4395i	0.942599	+	1.00302i
$922$	11.7446	−	20.3422i	0.386787	−	0.669934i
$923$			17.0256i			0.560403i
$924$	0.441578	−	4.28384i	0.0145269	−	0.140928i
$925$	16.8832	+	37.4603i	0.555115	+	1.23169i
$926$	−5.82473	−	3.36291i	−0.191413	−	0.110512i
$927$	5.29211	+	3.51039i	0.173816	+	0.115296i
$928$	2.87228	−	1.65831i	0.0942873	−	0.0544368i
$929$	−17.0584	+	29.5461i	−0.559669	+	0.969375i	0.437855	+	0.899046i	$0.355738\pi$
$929$	−17.0584	+	29.5461i	−0.559669	+	0.969375i	−0.997524	+	0.0703291i	$0.977595\pi$
$930$	12.5584	+	26.5055i	0.411807	+	0.869151i
$931$	−9.00000	−	22.5167i	−0.294963	−	0.737954i
$932$	−0.510875			−0.0167343
$933$	−10.1168	+	33.5538i	−0.331211	+	1.09850i
$934$	31.5475	−	18.2140i	1.03227	−	0.595980i
$935$	9.35053	+	10.3374i	0.305795	+	0.338069i
$936$	−0.372281	+	5.98844i	−0.0121684	+	0.195738i
$937$	−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	0.552307	−	0.833641i	$-0.313748\pi$
$941$	−13.6753	−	23.6863i	−0.445801	−	0.772150i	−0.998108	+	0.0614911i	$0.980414\pi$
$942$	9.48913	+	10.0974i	0.309172	+	0.328989i
$943$	5.05842	−	8.76144i	0.164725	−	0.285312i
$944$	13.1168			0.426917
$945$	1.44158	+	30.7070i	0.0468945	+	0.998900i
$946$	1.02175			0.0332199
$947$	−12.9416	+	22.4155i	−0.420545	+	0.728405i	−0.995993	−	0.0894334i	$-0.971494\pi$
$947$	−12.9416	+	22.4155i	−0.420545	+	0.728405i	0.575448	+	0.817838i	$0.304828\pi$
$948$	10.8139	+	11.5070i	0.351218	+	0.373730i
$949$	−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	$-0.783480\pi$
$953$	−48.0000			−1.55487			−0.777436	+	0.628962i	$0.783480\pi$
$954$	0.813859	−	13.0916i	0.0263497	−	0.423855i
$955$	28.2337	−	25.5383i	0.913621	−	0.826401i
$956$	20.4891	−	11.8294i	0.662666	−	0.382590i
$957$	−1.55842	+	5.16870i	−0.0503766	+	0.167080i
$958$	−2.74456			−0.0886728
$959$	4.37228	+	22.7190i	0.141188	+	0.733636i
$960$	3.50000	−	1.65831i	0.112962	−	0.0535218i
$961$	13.1753	−	22.8202i	0.425009	−	0.736136i
$962$	14.2337	−	8.21782i	0.458913	−	0.264953i
$963$	−15.6386	−	10.3735i	−0.503947	−	0.334280i
$964$	16.6753	+	9.62747i	0.537074	+	0.310080i
$965$	8.44158	+	39.2747i	0.271744	+	1.26430i
$966$	−3.68614	+	5.09496i	−0.118600	+	0.163928i
$967$			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
$969$	27.2554	+	29.0024i	0.875571	+	0.931692i
$970$	22.6753	+	25.0684i	0.728059	+	0.804899i
$971$	−17.1861	+	29.7673i	−0.551530	+	0.955277i	0.446635	+	0.894716i	$0.352622\pi$
$971$	−17.1861	+	29.7673i	−0.551530	+	0.955277i	−0.998165	+	0.0605609i	$0.980711\pi$
$972$	−6.31386	+	14.2525i	−0.202517	+	0.457151i
$973$	−7.11684	+	20.5446i	−0.228156	+	0.658628i
$974$			14.5012i			0.464649i
$975$	−2.25544	−	17.1730i	−0.0722318	−	0.549977i
$976$	11.0584	−	6.38458i	0.353971	−	0.204366i
$977$	−14.2337	−	24.6535i	−0.455376	−	0.788734i	0.543334	−	0.839517i	$-0.317162\pi$
$977$	−14.2337	−	24.6535i	−0.455376	−	0.788734i	−0.998710	+	0.0507824i	$0.983829\pi$
$978$	5.74456	+	1.73205i	0.183691	+	0.0553849i
$979$			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	−0.804241	−	0.594303i	$-0.797428\pi$
$983$	−21.6861	+	12.5205i	−0.691680	+	0.399342i	0.112561	+	0.993645i	$0.464095\pi$
$984$	8.74456	+	9.30506i	0.278766	+	0.296635i
$985$	9.76631	−	30.2921i	0.311181	−	0.965185i
$986$	22.0000			0.700623
$987$	4.00000	−	38.8048i	0.127321	−	1.23517i
$988$			6.92820i			0.220416i
$989$	−1.29211	−	0.746000i	−0.0410867	−	0.0237214i
$990$	−2.30298	+	5.86841i	−0.0731937	+	0.186510i
$991$	−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
$996$	−19.6168	−	5.91470i	−0.621583	−	0.187414i
$997$	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
$999$	42.0951	−	7.16825i	1.33183	−	0.226794i

Twists

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

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

\(f(q)\)	\(=\)	\(q+(-0.500000 + 0.866025i) q^{2} +(1.18614 + 1.26217i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(0.686141 - 2.12819i) q^{5} +(-1.68614 + 0.396143i) q^{6} +(2.50000 + 0.866025i) q^{7} +1.00000 q^{8} +(-0.186141 + 2.99422i) q^{9} +O(q^{10})\)	\(q+(-0.500000 + 0.866025i) q^{2} +(1.18614 + 1.26217i) 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} +(-0.186141 + 2.99422i) q^{9} +(1.50000 + 1.65831i) q^{10} +(0.813859 - 0.469882i) q^{11} +(0.500000 - 1.65831i) q^{12} +2.00000 q^{13} +(-2.00000 + 1.73205i) q^{14} +(3.50000 - 1.65831i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-5.74456 + 3.31662i) q^{17} +(-2.50000 - 1.65831i) q^{18} +(-3.00000 - 1.73205i) q^{19} +(-2.18614 + 0.469882i) q^{20} +(1.87228 + 4.18265i) q^{21} +0.939764i q^{22} +(0.686141 - 1.18843i) q^{23} +(1.18614 + 1.26217i) 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} +(-0.313859 + 3.86025i) q^{30} +(6.55842 - 3.78651i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(1.55842 + 0.469882i) 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} +(2.37228 + 2.52434i) q^{39} +(0.686141 - 2.12819i) q^{40} +7.37228 q^{41} +(-4.55842 - 0.469882i) q^{42} -1.08724i q^{43} +(-0.813859 - 0.469882i) q^{44} +(6.24456 + 2.45060i) 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} +(-11.0000 - 3.31662i) q^{51} +(-1.00000 - 1.73205i) q^{52} +(2.18614 + 3.78651i) q^{53} +(-0.872281 - 5.12241i) 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} +(-3.18614 - 2.20193i) q^{60} +(-11.0584 - 6.38458i) q^{61} +7.57301i q^{62} +(-3.05842 + 7.32435i) q^{63} +1.00000 q^{64} +(1.37228 - 4.25639i) q^{65} +(-1.18614 + 1.11469i) 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} +(-0.186141 + 2.99422i) q^{72} +(-1.00000 - 1.73205i) q^{73} +(7.11684 - 4.10891i) q^{74} +(-1.12772 - 8.58652i) 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} +(-8.93070 - 1.11469i) q^{81} +(-3.68614 + 6.38458i) q^{82} -11.8294i q^{83} +(2.68614 - 3.71277i) q^{84} +(3.11684 + 14.5012i) q^{85} +(0.941578 + 0.543620i) q^{86} +(-4.18614 + 3.93398i) q^{87} +(0.813859 - 0.469882i) q^{88} +(-0.686141 + 1.18843i) q^{89} +(-5.24456 + 4.18265i) q^{90} +(5.00000 + 1.73205i) q^{91} -1.37228 q^{92} +(12.5584 + 3.78651i) q^{93} +(7.37228 - 4.25639i) q^{94} +(-5.74456 + 5.19615i) q^{95} +(0.500000 - 1.65831i) q^{96} +15.1168 q^{97} +(-6.50000 + 2.59808i) q^{98} +(1.25544 + 2.52434i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 4 q - 2 q^{2} - q^{3} - 2 q^{4} - 3 q^{5} - q^{6} + 10 q^{7} + 4 q^{8} + 5 q^{9}+O(q^{10}) \) 4 * q - 2 * q^2 - q^3 - 2 * q^4 - 3 * q^5 - q^6 + 10 * q^7 + 4 * q^8 + 5 * q^9	\( 4 q - 2 q^{2} - q^{3} - 2 q^{4} - 3 q^{5} - q^{6} + 10 q^{7} + 4 q^{8} + 5 q^{9} + 6 q^{10} + 9 q^{11} + 2 q^{12} + 8 q^{13} - 8 q^{14} + 14 q^{15} - 2 q^{16} - 10 q^{18} - 12 q^{19} - 3 q^{20} - 4 q^{21} - 3 q^{23} - q^{24} + q^{25} - 4 q^{26} - 16 q^{27} - 2 q^{28} - 7 q^{30} + 9 q^{31} - 2 q^{32} - 11 q^{33} - 3 q^{35} + 5 q^{36} + 6 q^{37} + 12 q^{38} - 2 q^{39} - 3 q^{40} + 18 q^{41} - q^{42} - 9 q^{44} + 2 q^{45} - 3 q^{46} - 18 q^{47} - q^{48} + 22 q^{49} + q^{50} - 44 q^{51} - 4 q^{52} + 3 q^{53} + 8 q^{54} - 19 q^{55} + 10 q^{56} + 6 q^{57} - 9 q^{59} - 7 q^{60} - 27 q^{61} + 5 q^{63} + 4 q^{64} - 6 q^{65} + q^{66} - 9 q^{67} + 15 q^{69} + 15 q^{70} + 5 q^{72} - 4 q^{73} - 6 q^{74} - 16 q^{75} + 27 q^{77} - 2 q^{78} - q^{79} + 6 q^{80} - 7 q^{81} - 9 q^{82} + 5 q^{84} - 22 q^{85} + 21 q^{86} - 11 q^{87} + 9 q^{88} + 3 q^{89} + 2 q^{90} + 20 q^{91} + 6 q^{92} + 33 q^{93} + 18 q^{94} + 2 q^{96} + 26 q^{97} - 26 q^{98} + 28 q^{99}+O(q^{100}) \) 4 * q - 2 * q^2 - q^3 - 2 * q^4 - 3 * q^5 - q^6 + 10 * q^7 + 4 * q^8 + 5 * q^9 + 6 * q^10 + 9 * q^11 + 2 * q^12 + 8 * q^13 - 8 * q^14 + 14 * q^15 - 2 * q^16 - 10 * q^18 - 12 * q^19 - 3 * q^20 - 4 * q^21 - 3 * q^23 - q^24 + q^25 - 4 * q^26 - 16 * q^27 - 2 * q^28 - 7 * q^30 + 9 * q^31 - 2 * q^32 - 11 * q^33 - 3 * q^35 + 5 * q^36 + 6 * q^37 + 12 * q^38 - 2 * q^39 - 3 * q^40 + 18 * q^41 - q^42 - 9 * q^44 + 2 * q^45 - 3 * q^46 - 18 * q^47 - q^48 + 22 * q^49 + q^50 - 44 * q^51 - 4 * q^52 + 3 * q^53 + 8 * q^54 - 19 * q^55 + 10 * q^56 + 6 * q^57 - 9 * q^59 - 7 * q^60 - 27 * q^61 + 5 * q^63 + 4 * q^64 - 6 * q^65 + q^66 - 9 * q^67 + 15 * q^69 + 15 * q^70 + 5 * q^72 - 4 * q^73 - 6 * q^74 - 16 * q^75 + 27 * q^77 - 2 * q^78 - q^79 + 6 * q^80 - 7 * q^81 - 9 * q^82 + 5 * q^84 - 22 * q^85 + 21 * q^86 - 11 * q^87 + 9 * q^88 + 3 * q^89 + 2 * q^90 + 20 * q^91 + 6 * q^92 + 33 * q^93 + 18 * q^94 + 2 * q^96 + 26 * q^97 - 26 * q^98 + 28 * q^99

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