LMFDB - Embedded newform 210.2.t.c.89.1

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			89.1
Root			$-1.18614 + 1.26217i$ of defining polynomial
Character	$\chi$	$=$	210.89
Dual form			210.2.t.c.59.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.500000 - 0.866025i) q^{2} +(-1.18614 - 1.26217i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(1.50000 - 1.65831i) q^{5} +(-1.68614 + 0.396143i) q^{6} +(-2.50000 - 0.866025i) q^{7} -1.00000 q^{8} +(-0.186141 + 2.99422i) q^{9} +O(q^{10})$	\(q+(0.500000 - 0.866025i) q^{2} +(-1.18614 - 1.26217i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(1.50000 - 1.65831i) q^{5} +(-1.68614 + 0.396143i) q^{6} +(-2.50000 - 0.866025i) q^{7} -1.00000 q^{8} +(-0.186141 + 2.99422i) q^{9} +(-0.686141 - 2.12819i) q^{10} +(0.813859 - 0.469882i) q^{11} +(-0.500000 + 1.65831i) q^{12} -2.00000 q^{13} +(-2.00000 + 1.73205i) q^{14} +(-3.87228 + 0.0737384i) 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} +(-0.500000 - 4.97494i) q^{25} +(-1.00000 + 1.73205i) q^{26} +(4.00000 - 3.31662i) q^{27} +(0.500000 + 2.59808i) q^{28} +3.31662i q^{29} +(-1.87228 + 3.39036i) q^{30} +(6.55842 - 3.78651i) q^{31} +(0.500000 + 0.866025i) q^{32} +(-1.55842 - 0.469882i) q^{33} -6.63325i q^{34} +(-5.18614 + 2.84674i) 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} +(-1.50000 + 1.65831i) q^{40} +7.37228 q^{41} +(4.55842 + 0.469882i) q^{42} +1.08724i q^{43} +(-0.813859 - 0.469882i) q^{44} +(4.68614 + 4.80001i) 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} +(2.00000 + 3.31662i) q^{60} +(-11.0584 - 6.38458i) q^{61} -7.57301i q^{62} +(3.05842 - 7.32435i) q^{63} +1.00000 q^{64} +(-3.00000 + 3.31662i) 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} +(-0.127719 + 5.91470i) q^{70} +8.51278i q^{71} +(0.186141 - 2.99422i) q^{72} +(1.00000 + 1.73205i) q^{73} +(7.11684 - 4.10891i) q^{74} +(-5.68614 + 6.53206i) q^{75} +3.46410i q^{76} +(-2.44158 + 0.469882i) q^{77} +(3.37228 - 0.792287i) q^{78} +(-4.55842 + 7.89542i) q^{79} +(0.686141 + 2.12819i) 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} +(6.50000 - 1.65831i) q^{90} +(5.00000 + 1.73205i) q^{91} +1.37228 q^{92} +(-12.5584 - 3.78651i) q^{93} +(7.37228 - 4.25639i) q^{94} +(-7.37228 + 2.37686i) 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} + 6 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 + 6 * q^5 - q^6 - 10 * q^7 - 4 * q^8 + 5 * q^9	$ 4 q + 2 q^{2} + q^{3} - 2 q^{4} + 6 q^{5} - q^{6} - 10 q^{7} - 4 q^{8} + 5 q^{9} + 3 q^{10} + 9 q^{11} - 2 q^{12} - 8 q^{13} - 8 q^{14} - 4 q^{15} - 2 q^{16} + 10 q^{18} - 12 q^{19} - 3 q^{20} - 4 q^{21} + 3 q^{23} - q^{24} - 2 q^{25} - 4 q^{26} + 16 q^{27} + 2 q^{28} + 4 q^{30} + 9 q^{31} + 2 q^{32} + 11 q^{33} - 15 q^{35} + 5 q^{36} - 6 q^{37} - 12 q^{38} - 2 q^{39} - 6 q^{40} + 18 q^{41} + q^{42} - 9 q^{44} + 13 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} + 8 q^{60} - 27 q^{61} - 5 q^{63} + 4 q^{64} - 12 q^{65} + q^{66} + 9 q^{67} + 15 q^{69} - 12 q^{70} - 5 q^{72} + 4 q^{73} - 6 q^{74} - 17 q^{75} - 27 q^{77} + 2 q^{78} - q^{79} - 3 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} + 26 q^{90} + 20 q^{91} - 6 q^{92} - 33 q^{93} + 18 q^{94} - 18 q^{95} + 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 + 6 * q^5 - q^6 - 10 * q^7 - 4 * q^8 + 5 * q^9 + 3 * q^10 + 9 * q^11 - 2 * q^12 - 8 * q^13 - 8 * q^14 - 4 * q^15 - 2 * q^16 + 10 * q^18 - 12 * q^19 - 3 * q^20 - 4 * q^21 + 3 * q^23 - q^24 - 2 * q^25 - 4 * q^26 + 16 * q^27 + 2 * q^28 + 4 * q^30 + 9 * q^31 + 2 * q^32 + 11 * q^33 - 15 * q^35 + 5 * q^36 - 6 * q^37 - 12 * q^38 - 2 * q^39 - 6 * q^40 + 18 * q^41 + q^42 - 9 * q^44 + 13 * 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 + 8 * q^60 - 27 * q^61 - 5 * q^63 + 4 * q^64 - 12 * q^65 + q^66 + 9 * q^67 + 15 * q^69 - 12 * q^70 - 5 * q^72 + 4 * q^73 - 6 * q^74 - 17 * q^75 - 27 * q^77 + 2 * q^78 - q^79 - 3 * 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 + 26 * q^90 + 20 * q^91 - 6 * q^92 - 33 * q^93 + 18 * q^94 - 18 * q^95 + 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
$5$	1.50000	−	1.65831i	0.670820	−	0.741620i
$5$	1.50000	−	1.65831i	0.670820	−	0.741620i
$6$	−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
$10$	−0.686141	−	2.12819i	−0.216977	−	0.672994i
$11$	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	$-0.589456\pi$
$13$	−2.00000			−0.554700			−0.277350	+	0.960769i	$0.589456\pi$
$14$	−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	$0.0358205\pi$
$18$	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	−0.928651	−	0.370954i	$-0.879031\pi$
$23$	−0.686141	+	1.18843i	−0.143070	+	0.247805i	0.785581	+	0.618759i	$0.212364\pi$
$24$	1.18614	+	1.26217i	0.242120	+	0.257639i
$25$	−0.500000	−	4.97494i	−0.100000	−	0.994987i
$26$	−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	$0.900360\pi$
$30$	−1.87228	+	3.39036i	−0.341830	+	0.618993i
$31$	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
$35$	−5.18614	+	2.84674i	−0.876618	+	0.481187i
$36$	2.68614	−	1.33591i	0.447690	−	0.222651i
$37$	7.11684	+	4.10891i	1.17000	+	0.675501i	0.953681	−	0.300821i	$-0.0972608\pi$
$37$	7.11684	+	4.10891i	1.17000	+	0.675501i	0.216321	+	0.976322i	$0.430594\pi$
$38$	−3.00000	+	1.73205i	−0.486664	+	0.280976i
$39$	2.37228	+	2.52434i	0.379869	+	0.404218i
$40$	−1.50000	+	1.65831i	−0.237171	+	0.262202i
$41$	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	$0.0264186\pi$
$43$			1.08724i			0.165803i	−0.996558	+	0.0829013i	$0.973581\pi$
$44$	−0.813859	−	0.469882i	−0.122694	−	0.0708374i
$45$	4.68614	+	4.80001i	0.698569	+	0.715543i
$46$	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
$51$	−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	0.675912	−	0.736982i	$-0.263750\pi$
$53$	−2.18614	−	3.78651i	−0.300290	−	0.520117i	−0.976201	+	0.216866i	$0.930417\pi$
$54$	−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	$-0.492395\pi$
$60$	2.00000	+	3.31662i	0.258199	+	0.428174i
$61$	−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
$65$	−3.00000	+	3.31662i	−0.372104	+	0.411377i
$66$	−1.18614	+	1.11469i	−0.146004	+	0.137209i
$67$	−2.05842	+	1.18843i	−0.251476	+	0.145190i	−0.620440	−	0.784254i	$-0.713046\pi$
$67$	−2.05842	+	1.18843i	−0.251476	+	0.145190i	0.368964	+	0.929444i	$0.379713\pi$
$68$	−5.74456	−	3.31662i	−0.696631	−	0.402200i
$69$	2.31386	−	0.543620i	0.278556	−	0.0654442i
$70$	−0.127719	+	5.91470i	−0.0152653	+	0.706942i
$71$			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	0.918594	−	0.395203i	$-0.129326\pi$
$73$	1.00000	+	1.73205i	0.117041	+	0.202721i	−0.801553	+	0.597924i	$0.795992\pi$
$74$	7.11684	−	4.10891i	0.827316	−	0.477651i
$75$	−5.68614	+	6.53206i	−0.656579	+	0.754257i
$76$			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	$0.995252\pi$
$80$	0.686141	+	2.12819i	0.0767129	+	0.237939i
$81$	−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	$0.224906\pi$
$83$			11.8294i			1.29845i	−0.760598	+	0.649223i	$0.775094\pi$
$84$	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	$0.189838\pi$
$90$	6.50000	−	1.65831i	0.685160	−	0.174801i
$91$	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
$95$	−7.37228	+	2.37686i	−0.756380	+	0.243861i
$96$	0.500000	−	1.65831i	0.0510310	−	0.169251i
$97$	−15.1168			−1.53488			−0.767441	−	0.641119i	$-0.778470\pi$
$97$	−15.1168			−1.53488			−0.767441	+	0.641119i	$0.778470\pi$
$98$	6.50000	−	2.59808i	0.656599	−	0.262445i
$99$	1.25544	+	2.52434i	0.126176	+	0.253705i
$100$	−4.05842	+	2.92048i	−0.405842	+	0.292048i
$101$	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	−0.913448	−	0.406956i	$-0.866590\pi$
$103$	−1.05842	+	1.83324i	−0.104289	+	0.180635i	0.809158	+	0.587591i	$0.199923\pi$
$104$	2.00000			0.196116
$105$	9.74456	+	3.16915i	0.950972	+	0.309277i
$106$	−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	$0.0688895\pi$
$108$	−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	$0.706248\pi$
$110$	−1.55842	−	1.40965i	−0.148590	−	0.134404i
$111$	−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	$0.256056\pi$
$114$	5.74456	+	1.73205i	0.538028	+	0.162221i
$115$	0.941578	+	2.92048i	0.0878026	+	0.272336i
$116$	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
$120$	3.87228	−	0.0737384i	0.353489	−	0.00673137i
$121$	−5.05842	+	8.76144i	−0.459857	+	0.796495i
$122$	−11.0584	+	6.38458i	−1.00118	+	0.578033i
$123$	−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	$-0.890926\pi$
$127$		−	7.57301i		−	0.671996i	0.941863	−	0.335998i	$-0.109074\pi$
$128$	0.500000	−	0.866025i	0.0441942	−	0.0765466i
$129$	1.37228	−	1.28962i	0.120823	−	0.113545i
$130$	1.37228	+	4.25639i	0.120357	+	0.373310i
$131$	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
$135$	0.500000	−	11.6082i	0.0430331	−	0.999074i
$136$	−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	$0.955193\pi$
$138$	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	$0.886687\pi$
$140$	5.05842	+	3.06796i	0.427515	+	0.259290i
$141$	−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
$145$	5.50000	+	4.97494i	0.456750	+	0.413146i
$146$	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	$0.546343\pi$
$150$	2.81386	+	8.19037i	0.229751	+	0.668741i
$151$	−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	0.980329	−	0.197372i	$-0.0632408\pi$
$157$	4.00000	+	6.92820i	0.319235	+	0.552931i	−0.661094	+	0.750303i	$0.729907\pi$
$158$	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	0.612866	−	0.790186i	$-0.290016\pi$
$163$	3.00000	+	1.73205i	0.234978	+	0.135665i	−0.377888	+	0.925851i	$0.623350\pi$
$164$	−3.68614	−	6.38458i	−0.287839	−	0.498552i
$165$	−3.11684	+	1.87953i	−0.242646	+	0.146321i
$166$	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	$0.808191\pi$
$168$	−1.87228	−	4.18265i	−0.144450	−	0.322698i
$169$	−9.00000			−0.692308
$170$	−11.0000	−	9.94987i	−0.843661	−	0.763121i
$171$	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	−0.179350	−	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
$175$	−3.05842	+	12.8704i	−0.231195	+	0.972907i
$176$			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	$-0.0119427\pi$
$180$	1.81386	−	6.45832i	0.135197	−	0.481375i
$181$			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
$185$	17.4891	−	5.63858i	1.28583	−	0.414557i
$186$	−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	0.178539	−	0.983933i	$-0.442863\pi$
$193$	15.5584	−	8.98266i	1.11992	−	0.646586i	0.941380	+	0.337347i	$0.109530\pi$
$194$	−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	$0.669266\pi$
$198$	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	$0.318779\pi$
$200$	0.500000	+	4.97494i	0.0353553	+	0.351781i
$201$	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
$205$	11.0584	−	12.2255i	0.772354	−	0.853869i
$206$	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
$210$	7.61684	−	6.85446i	0.525612	−	0.473003i
$211$	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
$215$	1.80298	+	1.63086i	0.122963	+	0.111224i
$216$	−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
$220$	−2.00000	+	0.644810i	−0.134840	+	0.0434731i
$221$	−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	$-0.509414\pi$
$223$	−0.883156			−0.0591405			−0.0295703	+	0.999563i	$0.509414\pi$
$224$	−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	$0.576420\pi$
$228$	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	−0.874271	−	0.485438i	$-0.838660\pi$
$233$	−0.255437	+	0.442430i	−0.0167343	+	0.0289846i	0.857537	+	0.514422i	$0.171994\pi$
$234$	−5.00000	−	3.31662i	−0.326860	−	0.216815i
$235$	18.1168	−	5.84096i	1.18181	−	0.381022i
$236$	−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	$0.722650\pi$
$240$	1.87228	−	3.39036i	0.120855	−	0.218847i
$241$	−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
$245$	15.4307	−	2.62553i	0.985831	−	0.167739i
$246$	−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
$250$	−10.2446	+	4.47760i	−0.647923	+	0.283189i
$251$	−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
$255$	−22.0000	+	13.2665i	−1.37769	+	0.830780i
$256$	−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
$261$	−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	0.957006	−	0.290068i	$-0.0936778\pi$
$263$	3.68614	+	6.38458i	0.227297	+	0.393690i	−0.729709	+	0.683758i	$0.760344\pi$
$264$	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	$-0.457606\pi$
$270$	−9.80298	−	6.23711i	−0.596591	−	0.379578i
$271$	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
$275$	−2.74456	−	3.81396i	−0.165503	−	0.229990i
$276$	−1.62772	−	1.73205i	−0.0979772	−	0.104257i
$277$	−7.88316	+	4.55134i	−0.473653	+	0.273464i	−0.717768	−	0.696283i	$-0.754836\pi$
$277$	−7.88316	+	4.55134i	−0.473653	+	0.273464i	0.244115	+	0.969746i	$0.421503\pi$
$278$	7.11684	+	4.10891i	0.426840	+	0.246436i
$279$	10.1168	+	20.3422i	0.605680	+	1.21785i
$280$	5.18614	−	2.84674i	0.309931	−	0.170125i
$281$		−	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	0.524057	−	0.851683i	$-0.324418\pi$
$283$	−8.00000	−	13.8564i	−0.475551	−	0.823678i	−0.999608	+	0.0280052i	$0.991084\pi$
$284$	7.37228	−	4.25639i	0.437464	−	0.252570i
$285$	11.7446	+	6.48577i	0.695688	+	0.384184i
$286$			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
$290$	7.05842	−	2.27567i	0.414485	−	0.133632i
$291$	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	$-0.781175\pi$
$293$		−	21.7244i		−	1.26915i	0.772861	−	0.634576i	$-0.218825\pi$
$294$	−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
$300$	8.50000	+	1.65831i	0.490748	+	0.0957427i
$301$	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
$305$	−27.1753	+	8.76144i	−1.55605	+	0.501679i
$306$	19.8614	+	1.23472i	1.13540	+	0.0705841i
$307$	−24.1168			−1.37642			−0.688210	−	0.725511i	$-0.741603\pi$
$307$	−24.1168			−1.37642			−0.688210	+	0.725511i	$0.741603\pi$
$308$	1.62772	+	1.87953i	0.0927479	+	0.107096i
$309$	3.56930	−	0.838574i	0.203050	−	0.0477048i
$310$	−12.5584	−	11.3595i	−0.713270	−	0.645177i
$311$	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	−0.818615	−	0.574342i	$-0.805258\pi$
$313$	1.55842	−	2.69927i	0.0880872	−	0.152572i	0.906703	+	0.421771i	$0.138591\pi$
$314$	8.00000			0.451466
$315$	−7.55842	−	16.0583i	−0.425869	−	0.904785i
$316$	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	$0.176652\pi$
$318$	5.18614	+	5.51856i	0.290824	+	0.309465i
$319$	1.55842	+	2.69927i	0.0872549	+	0.151130i
$320$	1.50000	−	1.65831i	0.0838525	−	0.0927025i
$321$	−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
$325$	1.00000	+	9.94987i	0.0554700	+	0.551920i
$326$	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
$330$	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
$333$	−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	$-0.994409\pi$
$337$		−	0.644810i		−	0.0351250i	0.999846	−	0.0175625i	$-0.00559061\pi$
$338$	−4.50000	+	7.79423i	−0.244768	+	0.423950i
$339$	−17.4891	−	18.6101i	−0.949879	−	1.01076i
$340$	−14.1168	+	4.55134i	−0.765593	+	0.246831i
$341$	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
$345$	2.56930	−	4.65253i	0.138326	−	0.250484i
$346$	−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	$0.817237\pi$
$348$	−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	$-0.241921\pi$
$350$	9.61684	+	9.08385i	0.514042	+	0.485552i
$351$	−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	$0.227436\pi$
$354$	15.5584	+	16.5557i	0.826921	+	0.879924i
$355$	14.1168	+	12.7692i	0.749244	+	0.677717i
$356$	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	$0.409185\pi$
$360$	−4.68614	−	4.80001i	−0.246981	−	0.252983i
$361$	−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	0.985426	−	0.170106i	$-0.0544111\pi$
$367$	6.61684	+	11.4607i	0.345396	+	0.598244i	−0.640029	+	0.768351i	$0.721078\pi$
$368$	−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	−0.125667	−	0.992072i	$-0.540107\pi$
$373$	−20.2337	−	11.6819i	−1.04766	−	0.604867i	−0.921994	+	0.387205i	$0.873440\pi$
$374$	−3.11684	−	5.39853i	−0.161168	−	0.279151i
$375$	2.30298	+	19.2275i	0.118926	+	0.992903i
$376$	−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	$0.601737\pi$
$380$	5.74456	+	5.19615i	0.294690	+	0.266557i
$381$	−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	0.804453	−	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
$385$	−2.88316	+	4.75372i	−0.146939	+	0.242272i
$386$		−	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	$0.394374\pi$
$390$	3.74456	−	6.78073i	0.189613	−	0.343355i
$391$			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
$395$	6.25544	+	19.4024i	0.314745	+	0.976241i
$396$	1.55842	−	2.34941i	0.0783137	−	0.118062i
$397$	4.00000	−	6.92820i	0.200754	−	0.347717i	−0.748017	−	0.663679i	$-0.768994\pi$
$397$	4.00000	−	6.92820i	0.200754	−	0.347717i	0.948772	+	0.315963i	$0.102327\pi$
$398$		−	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
$405$	−15.2446	+	13.1379i	−0.757508	+	0.652825i
$406$	−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	$0.299340\pi$
$410$	−5.05842	−	15.6896i	−0.249818	−	0.774856i
$411$	−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
$415$	19.6168	+	17.7441i	0.962953	+	0.871024i
$416$	−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	$0.550839\pi$
$420$	−2.12772	−	10.0236i	−0.103822	−	0.489102i
$421$	−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
$425$	−19.3723	−	26.9205i	−0.939694	−	1.30584i
$426$	−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
$430$	2.31386	−	0.746000i	0.111584	−	0.0359753i
$431$	−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	$-0.195653\pi$
$433$	34.0000			1.63394			0.816968	+	0.576683i	$0.195653\pi$
$434$	−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
$438$	−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	−0.739100	−	0.673596i	$-0.764749\pi$
$443$	4.50000	−	7.79423i	0.213801	−	0.370315i	0.952901	+	0.303281i	$0.0980821\pi$
$444$	−10.3723	+	9.74749i	−0.492247	+	0.462596i
$445$	0.941578	+	2.92048i	0.0446351	+	0.138444i
$446$	−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	$0.840165\pi$
$450$	7.00000	−	13.2665i	0.329983	−	0.625389i
$451$	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
$455$	10.3723	−	5.69349i	0.486260	−	0.266915i
$456$	−1.37228	−	5.84096i	−0.0642630	−	0.273528i
$457$	−2.44158	−	1.40965i	−0.114212	−	0.0659404i	0.441806	−	0.897111i	$-0.354338\pi$
$457$	−2.44158	−	1.40965i	−0.114212	−	0.0659404i	−0.556018	+	0.831170i	$0.687671\pi$
$458$	12.0000	−	6.92820i	0.560723	−	0.323734i
$459$	11.9783	−	32.3191i	0.559097	−	1.50852i
$460$	2.05842	−	2.27567i	0.0959744	−	0.106104i
$461$	−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	$-0.950047\pi$
$463$		−	6.72582i		−	0.312576i	0.987712	−	0.156288i	$-0.0499527\pi$
$464$	−2.87228	−	1.65831i	−0.133342	−	0.0769852i
$465$	−25.1168	+	15.1460i	−1.16477	+	0.702380i
$466$	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
$471$	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	$0.813362\pi$
$480$	−2.00000	−	3.31662i	−0.0912871	−	0.151383i
$481$	−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
$485$	−22.6753	+	25.0684i	−1.02963	+	1.13830i
$486$	15.5000	−	1.65831i	0.703094	−	0.0752226i
$487$	−12.5584	+	7.25061i	−0.569076	+	0.328556i	−0.756780	−	0.653669i	$-0.773229\pi$
$487$	−12.5584	+	7.25061i	−0.569076	+	0.328556i	0.187704	+	0.982226i	$0.439895\pi$
$488$	11.0584	+	6.38458i	0.500591	+	0.289016i
$489$	−1.37228	−	5.84096i	−0.0620567	−	0.264137i
$490$	5.44158	−	14.6761i	0.245825	−	0.663001i
$491$		−	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
$495$	6.06930	+	1.70460i	0.272795	+	0.0766160i
$496$			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	$0.122108\pi$
$500$	−1.24456	+	11.1109i	−0.0556585	+	0.496892i
$501$	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	$-0.956320\pi$
$503$		−	6.13592i		−	0.273587i	0.990600	−	0.136793i	$-0.0436797\pi$
$504$	−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	$0.250483\pi$
$510$	0.489125	+	25.6858i	0.0216588	+	1.13739i
$511$	−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
$515$	1.45245	+	4.50506i	0.0640027	+	0.198516i
$516$	−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
$520$	3.00000	−	3.31662i	0.131559	−	0.145444i
$521$	−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	−0.732198	−	0.681092i	$-0.761505\pi$
$523$	5.11684	−	8.86263i	0.223744	−	0.387536i	0.955942	+	0.293556i	$0.0948387\pi$
$524$	−10.3723			−0.453115
$525$	19.8723	−	11.4058i	0.867297	−	0.497790i
$526$	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
$530$	−6.55842	+	7.25061i	−0.284880	+	0.314946i
$531$	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
$535$	−4.29211	−	13.3128i	−0.185564	−	0.575562i
$536$	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
$540$	−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
$543$	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	$-0.936254\pi$
$547$		−	9.30506i		−	0.397856i	0.980014	−	0.198928i	$-0.0637460\pi$
$548$	−4.37228	+	7.57301i	−0.186775	+	0.323503i
$549$	21.1753	−	31.9229i	0.903738	−	1.36244i
$550$	−4.67527	+	0.469882i	−0.199354	+	0.0200358i
$551$	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
$555$	−27.8614	−	15.3861i	−1.18265	−	0.653103i
$556$	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	$0.632357\pi$
$558$	22.6753	+	1.40965i	0.959921	+	0.0596751i
$559$		−	2.17448i		−	0.0919708i
$560$	0.127719	−	5.91470i	0.00539710	−	0.249942i
$561$	−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	$0.323692\pi$
$564$	−10.7446	+	10.0974i	−0.452428	+	0.425175i
$565$	22.1168	−	24.4511i	0.930463	−	1.02867i
$566$	−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	$0.589951\pi$
$570$	11.4891	−	6.92820i	0.481227	−	0.290191i
$571$	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	$-0.905736\pi$
$577$	−17.5584	−	30.4121i	−0.730967	−	1.26607i	0.225504	−	0.974242i	$-0.427597\pi$
$578$	−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
$585$	−9.37228	−	9.60002i	−0.387496	−	0.396912i
$586$	−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	$-0.000360659\pi$
$588$	−9.93070	+	6.95565i	−0.409535	+	0.286846i
$589$	−26.2337			−1.08094
$590$	−19.6753	+	21.7518i	−0.810018	+	0.895508i
$591$	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	−0.0742935	−	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
$595$	−20.3505	+	33.5538i	−0.834290	+	1.37557i
$596$		−	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	$0.345559\pi$
$600$	5.68614	−	6.53206i	0.232136	−	0.266670i
$601$			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
$605$	6.94158	+	21.5306i	0.282215	+	0.875344i
$606$	−12.6060	−	13.4140i	−0.512082	−	0.544906i
$607$	−20.7337	+	35.9118i	−0.841554	+	1.45762i	0.0470257	+	0.998894i	$0.485026\pi$
$607$	−20.7337	+	35.9118i	−0.841554	+	1.45762i	−0.888580	+	0.458721i	$0.848308\pi$
$608$		−	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	−0.889458	−	0.457016i	$-0.848918\pi$
$613$	−23.2337	+	13.4140i	−0.938400	+	0.541785i	−0.0489415	+	0.998802i	$0.515585\pi$
$614$	−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	$0.105440\pi$
$618$	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	$0.440484\pi$
$620$	−16.1168	+	5.19615i	−0.647268	+	0.208683i
$621$	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
$625$	−24.5000	+	4.97494i	−0.980000	+	0.198997i
$626$	−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
$630$	−17.6861	−	1.48338i	−0.704633	−	0.0590994i
$631$	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
$635$	−12.5584	−	11.3595i	−0.498366	−	0.450789i
$636$	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
$640$	−0.686141	−	2.12819i	−0.0271221	−	0.0841243i
$641$	−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	$-0.382936\pi$
$643$	18.2337			0.719066			0.359533	+	0.933132i	$0.382936\pi$
$644$	−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	$0.643233\pi$
$648$	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	−0.980560	−	0.196220i	$-0.937133\pi$
$653$	−8.18614	+	14.1788i	−0.320348	+	0.554860i	0.660211	+	0.751080i	$0.270467\pi$
$654$	−9.62772	−	10.2448i	−0.376474	−	0.400604i
$655$	−7.11684	−	22.0742i	−0.278078	−	0.862512i
$656$	−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	$-0.101795\pi$
$660$	3.18614	+	1.75950i	0.124020	+	0.0684885i
$661$	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
$665$	20.4891	+	0.442430i	0.794534	+	0.0171567i
$666$	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
$670$	3.94158	+	3.56529i	0.152276	+	0.137739i
$671$	−12.0000			−0.463255
$672$	−2.68614	+	3.71277i	−0.103620	+	0.143223i
$673$			46.9678i			1.81047i	0.424907	+	0.905237i	$0.360307\pi$
$673$			46.9678i			1.81047i	−0.424907	+	0.905237i	$0.639693\pi$
$674$	−0.558422	−	0.322405i	−0.0215096	−	0.0124186i
$675$	−18.5000	−	18.2414i	−0.712065	−	0.702113i
$676$	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
$681$	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	$0.0428904\pi$
$683$	15.9891	+	27.6940i	0.611807	+	1.05968i	−0.379129	+	0.925344i	$0.623776\pi$
$684$	−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
$690$	−2.74456	−	4.55134i	−0.104484	−	0.173267i
$691$	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
$695$	13.6277	+	12.3267i	0.516929	+	0.467580i
$696$	−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
$700$	12.6753	−	3.78651i	0.479080	−	0.143117i
$701$			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
$705$	−28.8614	−	15.9383i	−1.08698	−	0.600272i
$706$		−	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	$0.239731\pi$
$710$	18.1168	−	5.84096i	0.679913	−	0.219207i
$711$	−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	$-0.147487\pi$
$720$	−6.50000	+	1.65831i	−0.242241	+	0.0618017i
$721$	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
$725$	16.5000	−	1.65831i	0.612795	−	0.0615882i
$726$	5.05842	−	16.7769i	0.187736	−	0.622649i
$727$	19.0000			0.704671			0.352335	−	0.935874i	$-0.385388\pi$
$727$	19.0000			0.704671			0.352335	+	0.935874i	$0.385388\pi$
$728$	−5.00000	−	1.73205i	−0.185312	−	0.0641941i
$729$	5.00000	−	26.5330i	0.185185	−	0.982704i
$730$	3.00000	−	3.31662i	0.111035	−	0.122754i
$731$	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	$0.371342\pi$
$733$	−16.2337	+	28.1176i	−0.599605	+	1.03855i	−0.992879	+	0.119125i	$0.961991\pi$
$734$	13.2337			0.488464
$735$	−21.6168	−	16.3619i	−0.797349	−	0.603518i
$736$	−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	$0.822990\pi$
$740$	−13.6277	−	12.3267i	−0.500965	−	0.453140i
$741$	−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	$0.629714\pi$
$744$	12.5584	+	3.78651i	0.460414	+	0.138820i
$745$	19.1753	−	6.18220i	0.702527	−	0.226498i
$746$	−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
$750$	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
$753$	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	$0.153623\pi$
$757$			25.5383i			0.928206i	−0.885781	+	0.464103i	$0.846377\pi$
$758$	−6.11684	+	10.5947i	−0.222174	+	0.384816i
$759$	1.62772	−	1.52967i	0.0590824	−	0.0555235i
$760$	7.37228	−	2.37686i	0.267421	−	0.0862178i
$761$	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
$765$	42.8397	+	12.0318i	1.54887	+	0.435010i
$766$	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	$-0.185566\pi$
$770$	2.67527	+	4.87375i	0.0964099	+	0.175638i
$771$	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	$0.382256\pi$
$774$	−1.80298	+	2.71810i	−0.0648069	+	0.0977001i
$775$	−22.1168	−	30.7345i	−0.794460	−	1.10402i
$776$	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
$780$	−4.00000	−	6.63325i	−0.143223	−	0.237508i
$781$	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	0.940558	−	0.339633i	$-0.110303\pi$
$787$	4.94158	+	8.55906i	0.176148	+	0.305098i	−0.764410	+	0.644731i	$0.776970\pi$
$788$	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
$795$	8.74456	+	14.5012i	0.310138	+	0.514305i
$796$	−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	$-0.00529822\pi$
$798$	−12.8614	−	9.30506i	−0.455289	−	0.329396i
$799$	56.4674			1.99767
$800$	4.05842	−	2.92048i	0.143487	−	0.103255i
$801$	−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
$805$	0.175266	−	8.11663i	0.00617731	−	0.286074i
$806$			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	$0.0683998\pi$
$810$	3.75544	+	19.7711i	0.131953	+	0.694686i
$811$		−	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
$815$	7.37228	−	2.37686i	0.258240	−	0.0832578i
$816$	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	−0.691728	−	0.722158i	$-0.743150\pi$
$823$	−11.8247	+	6.82701i	−0.412184	+	0.237975i	0.279544	+	0.960133i	$0.409817\pi$
$824$	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	$0.694516\pi$
$828$	−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	$0.326204\pi$
$830$	25.1753	−	8.11663i	0.873846	−	0.281732i
$831$	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
$835$	24.2921	+	21.9730i	0.840663	+	0.760408i
$836$	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	$0.911831\pi$
$840$	−9.74456	−	3.16915i	−0.336219	−	0.109346i
$841$	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
$845$	−13.5000	+	14.9248i	−0.464414	+	0.513429i
$846$	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
$850$	−33.0000	+	3.31662i	−1.13189	+	0.113759i
$851$	−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	$-0.271171\pi$
$853$	38.4674			1.31710			0.658549	+	0.752538i	$0.271171\pi$
$854$	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	$0.471022\pi$
$858$	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	−0.729497	−	0.683984i	$-0.760246\pi$
$863$	6.68614	−	11.5807i	0.227599	−	0.394213i	0.957096	+	0.289771i	$0.0935792\pi$
$864$	4.87228	+	1.80579i	0.165758	+	0.0614342i
$865$	−36.2337	+	11.6819i	−1.23198	+	0.397197i
$866$	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
$870$	−11.2446	−	6.20965i	−0.381226	−	0.210527i
$871$	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
$875$	16.7554	+	24.3774i	0.566437	+	0.824105i
$876$	−3.37228	+	0.792287i	−0.113939	+	0.0267689i
$877$	−24.3505	−	14.0588i	−0.822259	−	0.474731i	0.0289358	−	0.999581i	$-0.490788\pi$
$877$	−24.3505	−	14.0588i	−0.822259	−	0.474731i	−0.851195	+	0.524850i	$0.824121\pi$
$878$	−2.44158	+	1.40965i	−0.0823993	+	0.0475732i
$879$	−27.4198	+	25.7682i	−0.924848	+	0.869139i
$880$	1.55842	+	1.40965i	0.0525344	+	0.0475191i
$881$	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	$0.269787\pi$
$883$			44.5532i			1.49934i	−0.661815	+	0.749668i	$0.730213\pi$
$884$	11.4891	+	6.63325i	0.386421	+	0.223100i
$885$	26.2337	+	43.5036i	0.881836	+	1.46236i
$886$	−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
$891$	−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
$900$	−7.98913	−	12.6954i	−0.266304	−	0.423181i
$901$	−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
$905$	13.2921	+	12.0232i	0.441845	+	0.399664i
$906$	10.8139	+	11.5070i	0.359266	+	0.382294i
$907$	−4.29211	+	2.47805i	−0.142517	+	0.0822823i	−0.569563	−	0.821948i	$-0.692888\pi$
$907$	−4.29211	+	2.47805i	−0.142517	+	0.0822823i	0.427046	+	0.904230i	$0.359554\pi$
$908$	18.0475	+	10.4198i	0.598929	+	0.345792i
$909$	−28.5475	+	14.1976i	−0.946862	+	0.470906i
$910$	0.255437	−	11.8294i	0.00846767	−	0.392141i
$911$		−	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
$915$	43.2921	+	23.9075i	1.43119	+	0.790357i
$916$		−	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	$0.252947\pi$
$920$	−0.941578	−	2.92048i	−0.0310429	−	0.0962854i
$921$	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	$0.977595\pi$
$930$	0.558422	+	29.3248i	0.0183114	+	0.961599i
$931$	−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
$935$	−4.27719	−	13.2665i	−0.139879	−	0.433861i
$936$	−0.372281	+	5.98844i	−0.0121684	+	0.195738i
$937$	1.35053			0.0441200			0.0220600	−	0.999757i	$-0.492978\pi$
$937$	1.35053			0.0441200			0.0220600	+	0.999757i	$0.492978\pi$
$938$	2.05842	−	5.94215i	0.0672099	−	0.194018i
$939$	−5.25544	+	1.23472i	−0.171505	+	0.0402935i
$940$	−14.1168	−	12.7692i	−0.460441	−	0.416484i
$941$	−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
$945$	−11.3030	+	28.5875i	−0.367686	+	0.929950i
$946$	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	$0.0285056\pi$
$948$	−10.8139	−	11.5070i	−0.351218	−	0.373730i
$949$	−2.00000	−	3.46410i	−0.0649227	−	0.112449i
$950$	10.1168	+	14.0588i	0.328234	+	0.456127i
$951$	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	$0.216520\pi$
$954$	0.813859	−	13.0916i	0.0263497	−	0.423855i
$955$	36.2337	−	11.6819i	1.17249	−	0.378018i
$956$	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
$960$	−3.87228	+	0.0737384i	−0.124977	+	0.00237990i
$961$	13.1753	−	22.8202i	0.425009	−	0.736136i
$962$	−14.2337	+	8.21782i	−0.458913	+	0.264953i
$963$	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	$-0.853209\pi$
$967$		−	27.6751i		−	0.889973i	0.895537	−	0.444986i	$-0.146791\pi$
$968$	5.05842	−	8.76144i	0.162584	−	0.281603i
$969$	27.2554	+	29.0024i	0.875571	+	0.931692i
$970$	10.3723	+	32.1716i	0.333034	+	1.03297i
$971$	−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
$975$	11.3723	−	13.0641i	0.364204	−	0.418387i
$976$	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	$0.682838\pi$
$978$	−5.74456	−	1.73205i	−0.183691	−	0.0553849i
$979$			1.28962i			0.0412164i
$980$	−9.98913	−	12.0506i	−0.319091	−	0.384943i
$981$	−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	$0.202572\pi$
$984$	8.74456	+	9.30506i	0.278766	+	0.296635i
$985$	−21.3505	+	23.6039i	−0.680285	+	0.752083i
$986$	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
$990$	4.51087	−	4.40387i	0.143365	−	0.139964i
$991$	−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	$-0.958183\pi$
$997$	−19.2337	−	33.3137i	−0.609137	−	1.05506i	0.382246	−	0.924061i	$-0.375151\pi$
$998$	−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.c.89.1	yes	4
3.2	odd	2		210.2.t.a.89.1	yes	4
5.2	odd	4		1050.2.s.d.551.3		8
5.3	odd	4		1050.2.s.d.551.2		8
5.4	even	2		210.2.t.b.89.2	yes	4
7.2	even	3		1470.2.d.b.1469.3		4
7.3	odd	6		210.2.t.d.59.1	yes	4
7.5	odd	6		1470.2.d.a.1469.2		4
15.2	even	4		1050.2.s.e.551.1		8
15.8	even	4		1050.2.s.e.551.4		8
15.14	odd	2		210.2.t.d.89.2	yes	4
21.2	odd	6		1470.2.d.d.1469.4		4
21.5	even	6		1470.2.d.c.1469.1		4
21.17	even	6		210.2.t.b.59.2	yes	4
35.3	even	12		1050.2.s.e.101.4		8
35.9	even	6		1470.2.d.c.1469.2		4
35.17	even	12		1050.2.s.e.101.1		8
35.19	odd	6		1470.2.d.d.1469.3		4
35.24	odd	6		210.2.t.a.59.2	✓	4
105.17	odd	12		1050.2.s.d.101.3		8
105.38	odd	12		1050.2.s.d.101.2		8
105.44	odd	6		1470.2.d.a.1469.1		4
105.59	even	6	inner	210.2.t.c.59.1	yes	4
105.89	even	6		1470.2.d.b.1469.4		4

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

\(f(q)\)	\(=\)	\(q+(0.500000 - 0.866025i) q^{2} +(-1.18614 - 1.26217i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(1.50000 - 1.65831i) q^{5} +(-1.68614 + 0.396143i) q^{6} +(-2.50000 - 0.866025i) q^{7} -1.00000 q^{8} +(-0.186141 + 2.99422i) q^{9} +O(q^{10})\)	\(q+(0.500000 - 0.866025i) q^{2} +(-1.18614 - 1.26217i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(1.50000 - 1.65831i) q^{5} +(-1.68614 + 0.396143i) q^{6} +(-2.50000 - 0.866025i) q^{7} -1.00000 q^{8} +(-0.186141 + 2.99422i) q^{9} +(-0.686141 - 2.12819i) q^{10} +(0.813859 - 0.469882i) q^{11} +(-0.500000 + 1.65831i) q^{12} -2.00000 q^{13} +(-2.00000 + 1.73205i) q^{14} +(-3.87228 + 0.0737384i) 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} +(-0.500000 - 4.97494i) q^{25} +(-1.00000 + 1.73205i) q^{26} +(4.00000 - 3.31662i) q^{27} +(0.500000 + 2.59808i) q^{28} +3.31662i q^{29} +(-1.87228 + 3.39036i) q^{30} +(6.55842 - 3.78651i) q^{31} +(0.500000 + 0.866025i) q^{32} +(-1.55842 - 0.469882i) q^{33} -6.63325i q^{34} +(-5.18614 + 2.84674i) 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} +(-1.50000 + 1.65831i) q^{40} +7.37228 q^{41} +(4.55842 + 0.469882i) q^{42} +1.08724i q^{43} +(-0.813859 - 0.469882i) q^{44} +(4.68614 + 4.80001i) 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} +(2.00000 + 3.31662i) q^{60} +(-11.0584 - 6.38458i) q^{61} -7.57301i q^{62} +(3.05842 - 7.32435i) q^{63} +1.00000 q^{64} +(-3.00000 + 3.31662i) 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} +(-0.127719 + 5.91470i) q^{70} +8.51278i q^{71} +(0.186141 - 2.99422i) q^{72} +(1.00000 + 1.73205i) q^{73} +(7.11684 - 4.10891i) q^{74} +(-5.68614 + 6.53206i) q^{75} +3.46410i q^{76} +(-2.44158 + 0.469882i) q^{77} +(3.37228 - 0.792287i) q^{78} +(-4.55842 + 7.89542i) q^{79} +(0.686141 + 2.12819i) 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} +(6.50000 - 1.65831i) q^{90} +(5.00000 + 1.73205i) q^{91} +1.37228 q^{92} +(-12.5584 - 3.78651i) q^{93} +(7.37228 - 4.25639i) q^{94} +(-7.37228 + 2.37686i) 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})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 4 q + 2 q^{2} + q^{3} - 2 q^{4} + 6 q^{5} - q^{6} - 10 q^{7} - 4 q^{8} + 5 q^{9}+O(q^{10}) \) 4 * q + 2 * q^2 + q^3 - 2 * q^4 + 6 * q^5 - q^6 - 10 * q^7 - 4 * q^8 + 5 * q^9	\( 4 q + 2 q^{2} + q^{3} - 2 q^{4} + 6 q^{5} - q^{6} - 10 q^{7} - 4 q^{8} + 5 q^{9} + 3 q^{10} + 9 q^{11} - 2 q^{12} - 8 q^{13} - 8 q^{14} - 4 q^{15} - 2 q^{16} + 10 q^{18} - 12 q^{19} - 3 q^{20} - 4 q^{21} + 3 q^{23} - q^{24} - 2 q^{25} - 4 q^{26} + 16 q^{27} + 2 q^{28} + 4 q^{30} + 9 q^{31} + 2 q^{32} + 11 q^{33} - 15 q^{35} + 5 q^{36} - 6 q^{37} - 12 q^{38} - 2 q^{39} - 6 q^{40} + 18 q^{41} + q^{42} - 9 q^{44} + 13 q^{45} - 3 q^{46} + 18 q^{47} + q^{48} + 22 q^{49} - q^{50} - 44 q^{51} + 4 q^{52} - 3 q^{53} + 8 q^{54} + 19 q^{55} + 10 q^{56} - 6 q^{57} - 9 q^{59} + 8 q^{60} - 27 q^{61} - 5 q^{63} + 4 q^{64} - 12 q^{65} + q^{66} + 9 q^{67} + 15 q^{69} - 12 q^{70} - 5 q^{72} + 4 q^{73} - 6 q^{74} - 17 q^{75} - 27 q^{77} + 2 q^{78} - q^{79} - 3 q^{80} - 7 q^{81} + 9 q^{82} + 5 q^{84} - 22 q^{85} + 21 q^{86} + 11 q^{87} - 9 q^{88} + 3 q^{89} + 26 q^{90} + 20 q^{91} - 6 q^{92} - 33 q^{93} + 18 q^{94} - 18 q^{95} + 2 q^{96} - 26 q^{97} + 26 q^{98} + 28 q^{99}+O(q^{100}) \) 4 * q + 2 * q^2 + q^3 - 2 * q^4 + 6 * q^5 - q^6 - 10 * q^7 - 4 * q^8 + 5 * q^9 + 3 * q^10 + 9 * q^11 - 2 * q^12 - 8 * q^13 - 8 * q^14 - 4 * q^15 - 2 * q^16 + 10 * q^18 - 12 * q^19 - 3 * q^20 - 4 * q^21 + 3 * q^23 - q^24 - 2 * q^25 - 4 * q^26 + 16 * q^27 + 2 * q^28 + 4 * q^30 + 9 * q^31 + 2 * q^32 + 11 * q^33 - 15 * q^35 + 5 * q^36 - 6 * q^37 - 12 * q^38 - 2 * q^39 - 6 * q^40 + 18 * q^41 + q^42 - 9 * q^44 + 13 * 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 + 8 * q^60 - 27 * q^61 - 5 * q^63 + 4 * q^64 - 12 * q^65 + q^66 + 9 * q^67 + 15 * q^69 - 12 * q^70 - 5 * q^72 + 4 * q^73 - 6 * q^74 - 17 * q^75 - 27 * q^77 + 2 * q^78 - q^79 - 3 * 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 + 26 * q^90 + 20 * q^91 - 6 * q^92 - 33 * q^93 + 18 * q^94 - 18 * q^95 + 2 * q^96 - 26 * q^97 + 26 * q^98 + 28 * q^99

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