LMFDB - Embedded newform 210.2.t.c.59.2

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			59.2
Root			$1.68614 + 0.396143i$ of defining polynomial
Character	$\chi$	$=$	210.59
Dual form			210.2.t.c.89.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.500000 + 0.866025i) q^{2} +(1.68614 - 0.396143i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.50000 - 1.65831i) q^{5} +(1.18614 + 1.26217i) q^{6} +(-2.50000 + 0.866025i) q^{7} -1.00000 q^{8} +(2.68614 - 1.33591i) q^{9} +O(q^{10})$	\(q+(0.500000 + 0.866025i) q^{2} +(1.68614 - 0.396143i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.50000 - 1.65831i) q^{5} +(1.18614 + 1.26217i) q^{6} +(-2.50000 + 0.866025i) q^{7} -1.00000 q^{8} +(2.68614 - 1.33591i) q^{9} +(2.18614 + 0.469882i) q^{10} +(3.68614 + 2.12819i) q^{11} +(-0.500000 + 1.65831i) q^{12} -2.00000 q^{13} +(-2.00000 - 1.73205i) q^{14} +(1.87228 - 3.39036i) 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} +(0.686141 + 2.12819i) q^{20} +(-3.87228 + 2.45060i) q^{21} +4.25639i q^{22} +(2.18614 + 3.78651i) q^{23} +(-1.68614 + 0.396143i) 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} +(3.87228 - 0.0737384i) q^{30} +(-2.05842 - 1.18843i) q^{31} +(0.500000 - 0.866025i) q^{32} +(7.05842 + 2.12819i) q^{33} -6.63325i q^{34} +(-2.31386 + 5.44482i) q^{35} +(-0.186141 + 2.99422i) q^{36} +(-10.1168 + 5.84096i) q^{37} +(-3.00000 - 1.73205i) q^{38} +(-3.37228 + 0.792287i) q^{39} +(-1.50000 + 1.65831i) q^{40} +1.62772 q^{41} +(-4.05842 - 2.12819i) q^{42} -11.0371i q^{43} +(-3.68614 + 2.12819i) q^{44} +(1.81386 - 6.45832i) q^{45} +(-2.18614 + 3.78651i) q^{46} +(1.62772 - 0.939764i) q^{47} +(-1.18614 - 1.26217i) q^{48} +(5.50000 - 4.33013i) q^{49} +(4.05842 - 2.92048i) q^{50} +(-11.0000 - 3.31662i) q^{51} +(1.00000 - 1.73205i) q^{52} +(0.686141 - 1.18843i) q^{53} +(4.87228 + 1.80579i) q^{54} +(9.05842 - 2.92048i) q^{55} +(2.50000 - 0.866025i) q^{56} +(-4.37228 + 4.10891i) q^{57} +(-2.87228 + 1.65831i) q^{58} +(2.05842 - 3.56529i) q^{59} +(2.00000 + 3.31662i) q^{60} +(-2.44158 + 1.40965i) q^{61} -2.37686i q^{62} +(-5.55842 + 5.66603i) q^{63} +1.00000 q^{64} +(-3.00000 + 3.31662i) q^{65} +(1.68614 + 7.17687i) q^{66} +(6.55842 + 3.78651i) q^{67} +(5.74456 - 3.31662i) q^{68} +(5.18614 + 5.51856i) q^{69} +(-5.87228 + 0.718549i) q^{70} -1.87953i q^{71} +(-2.68614 + 1.33591i) q^{72} +(1.00000 - 1.73205i) q^{73} +(-10.1168 - 5.84096i) q^{74} +(-2.81386 - 8.19037i) q^{75} -3.46410i q^{76} +(-11.0584 - 2.12819i) q^{77} +(-2.37228 - 2.52434i) q^{78} +(4.05842 + 7.02939i) q^{79} +(-2.18614 - 0.469882i) q^{80} +(5.43070 - 7.17687i) q^{81} +(0.813859 + 1.40965i) q^{82} +1.43710i q^{83} +(-0.186141 - 4.57879i) q^{84} +(-14.1168 + 4.55134i) q^{85} +(9.55842 - 5.51856i) q^{86} +(1.31386 + 5.59230i) q^{87} +(-3.68614 - 2.12819i) q^{88} +(2.18614 + 3.78651i) q^{89} +(6.50000 - 1.65831i) q^{90} +(5.00000 - 1.73205i) q^{91} -4.37228 q^{92} +(-3.94158 - 1.18843i) q^{93} +(1.62772 + 0.939764i) q^{94} +(-1.62772 + 7.57301i) q^{95} +(0.500000 - 1.65831i) q^{96} +2.11684 q^{97} +(6.50000 + 2.59808i) q^{98} +(12.7446 + 0.792287i) 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 $\left(\mathbb{Z}/210\mathbb{Z}\right)^\times$.

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

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
$3$	1.68614	−	0.396143i	0.973494	−	0.228714i
$3$	1.68614	−	0.396143i	0.973494	−	0.228714i
$4$	−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
$6$	1.18614	+	1.26217i	0.484240	+	0.515278i
$7$	−2.50000	+	0.866025i	−0.944911	+	0.327327i
$7$	−2.50000	+	0.866025i	−0.944911	+	0.327327i
$8$	−1.00000			−0.353553
$9$	2.68614	−	1.33591i	0.895380	−	0.445302i
$10$	2.18614	+	0.469882i	0.691318	+	0.148590i
$11$	3.68614	+	2.12819i	1.11141	+	0.641675i	0.939195	−	0.343384i	$-0.111573\pi$
$11$	3.68614	+	2.12819i	1.11141	+	0.641675i	0.172218	+	0.985059i	$0.444907\pi$
$12$	−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
$15$	1.87228	−	3.39036i	0.483421	−	0.875388i
$16$	−0.500000	−	0.866025i	−0.125000	−	0.216506i
$17$	−5.74456	−	3.31662i	−1.39326	−	0.804400i	−0.399586	−	0.916696i	$-0.630846\pi$
$17$	−5.74456	−	3.31662i	−1.39326	−	0.804400i	−0.993675	+	0.112296i	$0.964180\pi$
$18$	2.50000	+	1.65831i	0.589256	+	0.390868i
$19$	−3.00000	+	1.73205i	−0.688247	+	0.397360i	−0.802955	−	0.596040i	$-0.796740\pi$
$19$	−3.00000	+	1.73205i	−0.688247	+	0.397360i	0.114708	+	0.993399i	$0.463407\pi$
$20$	0.686141	+	2.12819i	0.153426	+	0.475879i
$21$	−3.87228	+	2.45060i	−0.845001	+	0.534765i
$22$			4.25639i			0.907465i
$23$	2.18614	+	3.78651i	0.455842	+	0.789541i	0.998736	−	0.0502598i	$-0.0160049\pi$
$23$	2.18614	+	3.78651i	0.455842	+	0.789541i	−0.542894	+	0.839801i	$0.682672\pi$
$24$	−1.68614	+	0.396143i	−0.344182	+	0.0808625i
$25$	−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	$0.900360\pi$
$30$	3.87228	−	0.0737384i	0.706979	−	0.0134627i
$31$	−2.05842	−	1.18843i	−0.369704	−	0.213448i	0.303625	−	0.952791i	$-0.401803\pi$
$31$	−2.05842	−	1.18843i	−0.369704	−	0.213448i	−0.673329	+	0.739343i	$0.735136\pi$
$32$	0.500000	−	0.866025i	0.0883883	−	0.153093i
$33$	7.05842	+	2.12819i	1.22871	+	0.370471i
$34$		−	6.63325i		−	1.13759i
$35$	−2.31386	+	5.44482i	−0.391114	+	0.920342i
$36$	−0.186141	+	2.99422i	−0.0310234	+	0.499037i
$37$	−10.1168	+	5.84096i	−1.66320	+	0.960248i	−0.692026	+	0.721873i	$0.743282\pi$
$37$	−10.1168	+	5.84096i	−1.66320	+	0.960248i	−0.971173	+	0.238376i	$0.923385\pi$
$38$	−3.00000	−	1.73205i	−0.486664	−	0.280976i
$39$	−3.37228	+	0.792287i	−0.539997	+	0.126867i
$40$	−1.50000	+	1.65831i	−0.237171	+	0.262202i
$41$	1.62772			0.254207			0.127103	−	0.991889i	$-0.459432\pi$
$41$	1.62772			0.254207			0.127103	+	0.991889i	$0.459432\pi$
$42$	−4.05842	−	2.12819i	−0.626228	−	0.328388i
$43$		−	11.0371i		−	1.68314i	−0.540145	−	0.841572i	$-0.681631\pi$
$43$		−	11.0371i		−	1.68314i	0.540145	−	0.841572i	$-0.318369\pi$
$44$	−3.68614	+	2.12819i	−0.555707	+	0.320837i
$45$	1.81386	−	6.45832i	0.270394	−	0.962750i
$46$	−2.18614	+	3.78651i	−0.322329	+	0.558290i
$47$	1.62772	−	0.939764i	0.237427	−	0.137079i	−0.376566	−	0.926390i	$-0.622895\pi$
$47$	1.62772	−	0.939764i	0.237427	−	0.137079i	0.613994	+	0.789311i	$0.289562\pi$
$48$	−1.18614	−	1.26217i	−0.171205	−	0.182178i
$49$	5.50000	−	4.33013i	0.785714	−	0.618590i
$50$	4.05842	−	2.92048i	0.573948	−	0.413018i
$51$	−11.0000	−	3.31662i	−1.54031	−	0.464420i
$52$	1.00000	−	1.73205i	0.138675	−	0.240192i
$53$	0.686141	−	1.18843i	0.0942487	−	0.163243i	−0.815046	−	0.579396i	$-0.803288\pi$
$53$	0.686141	−	1.18843i	0.0942487	−	0.163243i	0.909295	+	0.416153i	$0.136622\pi$
$54$	4.87228	+	1.80579i	0.663034	+	0.245737i
$55$	9.05842	−	2.92048i	1.22144	−	0.393798i
$56$	2.50000	−	0.866025i	0.334077	−	0.115728i
$57$	−4.37228	+	4.10891i	−0.579123	+	0.544239i
$58$	−2.87228	+	1.65831i	−0.377149	+	0.217747i
$59$	2.05842	−	3.56529i	0.267984	−	0.464161i	−0.700357	−	0.713792i	$-0.746976\pi$
$59$	2.05842	−	3.56529i	0.267984	−	0.464161i	0.968341	+	0.249631i	$0.0803093\pi$
$60$	2.00000	+	3.31662i	0.258199	+	0.428174i
$61$	−2.44158	+	1.40965i	−0.312612	+	0.180487i	−0.648095	−	0.761560i	$-0.724434\pi$
$61$	−2.44158	+	1.40965i	−0.312612	+	0.180487i	0.335483	+	0.942046i	$0.391101\pi$
$62$		−	2.37686i		−	0.301862i
$63$	−5.55842	+	5.66603i	−0.700295	+	0.713853i
$64$	1.00000			0.125000
$65$	−3.00000	+	3.31662i	−0.372104	+	0.411377i
$66$	1.68614	+	7.17687i	0.207550	+	0.883412i
$67$	6.55842	+	3.78651i	0.801239	+	0.462595i	0.843904	−	0.536494i	$-0.180252\pi$
$67$	6.55842	+	3.78651i	0.801239	+	0.462595i	−0.0426654	+	0.999089i	$0.513585\pi$
$68$	5.74456	−	3.31662i	0.696631	−	0.402200i
$69$	5.18614	+	5.51856i	0.624338	+	0.664356i
$70$	−5.87228	+	0.718549i	−0.701872	+	0.0858830i
$71$		−	1.87953i		−	0.223059i	−0.993761	−	0.111529i	$-0.964425\pi$
$71$		−	1.87953i		−	0.223059i	0.993761	−	0.111529i	$-0.0355749\pi$
$72$	−2.68614	+	1.33591i	−0.316565	+	0.157438i
$73$	1.00000	−	1.73205i	0.117041	−	0.202721i	−0.801553	−	0.597924i	$-0.795992\pi$
$73$	1.00000	−	1.73205i	0.117041	−	0.202721i	0.918594	+	0.395203i	$0.129326\pi$
$74$	−10.1168	−	5.84096i	−1.17606	−	0.678998i
$75$	−2.81386	−	8.19037i	−0.324916	−	0.945743i
$76$		−	3.46410i		−	0.397360i
$77$	−11.0584	−	2.12819i	−1.26022	−	0.242530i
$78$	−2.37228	−	2.52434i	−0.268608	−	0.285825i
$79$	4.05842	+	7.02939i	0.456608	+	0.790869i	0.998779	−	0.0493997i	$-0.0157308\pi$
$79$	4.05842	+	7.02939i	0.456608	+	0.790869i	−0.542171	+	0.840268i	$0.682397\pi$
$80$	−2.18614	−	0.469882i	−0.244418	−	0.0525344i
$81$	5.43070	−	7.17687i	0.603411	−	0.797430i
$82$	0.813859	+	1.40965i	0.0898757	+	0.155669i
$83$			1.43710i			0.157742i	0.996885	+	0.0788710i	$0.0251315\pi$
$83$			1.43710i			0.157742i	−0.996885	+	0.0788710i	$0.974868\pi$
$84$	−0.186141	−	4.57879i	−0.0203096	−	0.499587i
$85$	−14.1168	+	4.55134i	−1.53119	+	0.493662i
$86$	9.55842	−	5.51856i	1.03071	−	0.595081i
$87$	1.31386	+	5.59230i	0.140861	+	0.599557i
$88$	−3.68614	−	2.12819i	−0.392944	−	0.226866i
$89$	2.18614	+	3.78651i	0.231730	+	0.401369i	0.958317	−	0.285706i	$-0.0922279\pi$
$89$	2.18614	+	3.78651i	0.231730	+	0.401369i	−0.726587	+	0.687074i	$0.758895\pi$
$90$	6.50000	−	1.65831i	0.685160	−	0.174801i
$91$	5.00000	−	1.73205i	0.524142	−	0.181568i
$92$	−4.37228			−0.455842
$93$	−3.94158	−	1.18843i	−0.408723	−	0.123235i
$94$	1.62772	+	0.939764i	0.167886	+	0.0969292i
$95$	−1.62772	+	7.57301i	−0.167000	+	0.776975i
$96$	0.500000	−	1.65831i	0.0510310	−	0.169251i
$97$	2.11684			0.214933			0.107466	−	0.994209i	$-0.465726\pi$
$97$	2.11684			0.214933			0.107466	+	0.994209i	$0.465726\pi$
$98$	6.50000	+	2.59808i	0.656599	+	0.262445i
$99$	12.7446	+	0.792287i	1.28088	+	0.0796278i
$100$	4.55842	+	2.05446i	0.455842	+	0.205446i
$101$	8.18614	−	14.1788i	0.814551	−	1.41084i	−0.0950981	−	0.995468i	$-0.530316\pi$
$101$	8.18614	−	14.1788i	0.814551	−	1.41084i	0.909650	−	0.415377i	$-0.136350\pi$
$102$	−2.62772	−	11.1846i	−0.260183	−	1.10744i
$103$	7.55842	+	13.0916i	0.744753	+	1.28995i	0.950310	+	0.311306i	$0.100766\pi$
$103$	7.55842	+	13.0916i	0.744753	+	1.28995i	−0.205556	+	0.978645i	$0.565900\pi$
$104$	2.00000			0.196116
$105$	−1.74456	+	10.0974i	−0.170252	+	0.985401i
$106$	1.37228			0.133288
$107$	8.87228	+	15.3672i	0.857716	+	1.48561i	0.874102	+	0.485742i	$0.161450\pi$
$107$	8.87228	+	15.3672i	0.857716	+	1.48561i	−0.0163866	+	0.999866i	$0.505216\pi$
$108$	0.872281	+	5.12241i	0.0839353	+	0.492905i
$109$	−4.55842	+	7.89542i	−0.436618	+	0.756244i	−0.997426	−	0.0717016i	$-0.977157\pi$
$109$	−4.55842	+	7.89542i	−0.436618	+	0.756244i	0.560808	+	0.827946i	$0.310490\pi$
$110$	7.05842	+	6.38458i	0.672994	+	0.608746i
$111$	−14.7446	+	13.8564i	−1.39949	+	1.31519i
$112$	2.00000	+	1.73205i	0.188982	+	0.163663i
$113$	3.25544			0.306246			0.153123	−	0.988207i	$-0.451067\pi$
$113$	3.25544			0.306246			0.153123	+	0.988207i	$0.451067\pi$
$114$	−5.74456	−	1.73205i	−0.538028	−	0.162221i
$115$	9.55842	+	2.05446i	0.891327	+	0.191579i
$116$	−2.87228	−	1.65831i	−0.266685	−	0.153970i
$117$	−5.37228	+	2.67181i	−0.496668	+	0.247009i
$118$	4.11684			0.378986
$119$	17.2337	+	3.31662i	1.57981	+	0.304034i
$120$	−1.87228	+	3.39036i	−0.170915	+	0.309496i
$121$	3.55842	+	6.16337i	0.323493	+	0.560306i
$122$	−2.44158	−	1.40965i	−0.221050	−	0.127623i
$123$	2.74456	−	0.644810i	0.247469	−	0.0581406i
$124$	2.05842	−	1.18843i	0.184852	−	0.106724i
$125$	−9.00000	−	6.63325i	−0.804984	−	0.593296i
$126$	−7.68614	−	1.98072i	−0.684736	−	0.176456i
$127$		−	2.37686i		−	0.210912i	−0.994424	−	0.105456i	$-0.966370\pi$
$127$		−	2.37686i		−	0.210912i	0.994424	−	0.105456i	$-0.0336303\pi$
$128$	0.500000	+	0.866025i	0.0441942	+	0.0765466i
$129$	−4.37228	−	18.6101i	−0.384958	−	1.63853i
$130$	−4.37228	−	0.939764i	−0.383474	−	0.0824227i
$131$	2.31386	+	4.00772i	0.202163	+	0.350156i	0.949225	−	0.314598i	$-0.101870\pi$
$131$	2.31386	+	4.00772i	0.202163	+	0.350156i	−0.747062	+	0.664754i	$0.768536\pi$
$132$	−5.37228	+	5.04868i	−0.467597	+	0.439431i
$133$	6.00000	−	6.92820i	0.520266	−	0.600751i
$134$			7.57301i			0.654209i
$135$	0.500000	−	11.6082i	0.0430331	−	0.999074i
$136$	5.74456	+	3.31662i	0.492592	+	0.284398i
$137$	1.37228	−	2.37686i	0.117242	−	0.203069i	−0.801432	−	0.598086i	$-0.795928\pi$
$137$	1.37228	−	2.37686i	0.117242	−	0.203069i	0.918674	+	0.395017i	$0.129261\pi$
$138$	−2.18614	+	7.25061i	−0.186097	+	0.617213i
$139$			11.6819i			0.990848i	0.868651	+	0.495424i	$0.164987\pi$
$139$			11.6819i			0.990848i	−0.868651	+	0.495424i	$0.835013\pi$
$140$	−3.55842	−	4.72627i	−0.300742	−	0.399443i
$141$	2.37228	−	2.22938i	0.199782	−	0.187748i
$142$	1.62772	−	0.939764i	0.136595	−	0.0788632i
$143$	−7.37228	−	4.25639i	−0.616501	−	0.355937i
$144$	−2.50000	−	1.65831i	−0.208333	−	0.138193i
$145$	5.50000	+	4.97494i	0.456750	+	0.413146i
$146$	2.00000			0.165521
$147$	7.55842	−	9.47999i	0.623408	−	0.781897i
$148$		−	11.6819i		−	0.960248i
$149$	−12.3030	+	7.10313i	−1.00790	+	0.581911i	−0.910576	−	0.413342i	$-0.864362\pi$
$149$	−12.3030	+	7.10313i	−1.00790	+	0.581911i	−0.0973237	+	0.995253i	$0.531028\pi$
$150$	5.68614	−	6.53206i	0.464271	−	0.533340i
$151$	4.05842	−	7.02939i	0.330270	−	0.572044i	−0.652295	−	0.757965i	$-0.726194\pi$
$151$	4.05842	−	7.02939i	0.330270	−	0.572044i	0.982565	+	0.185921i	$0.0595270\pi$
$152$	3.00000	−	1.73205i	0.243332	−	0.140488i
$153$	−19.8614	−	1.23472i	−1.60570	−	0.0998210i
$154$	−3.68614	−	10.6410i	−0.297038	−	0.857474i
$155$	−5.05842	+	1.63086i	−0.406302	+	0.130994i
$156$	1.00000	−	3.31662i	0.0800641	−	0.265543i
$157$	4.00000	−	6.92820i	0.319235	−	0.552931i	−0.661094	−	0.750303i	$-0.729907\pi$
$157$	4.00000	−	6.92820i	0.319235	−	0.552931i	0.980329	+	0.197372i	$0.0632408\pi$
$158$	−4.05842	+	7.02939i	−0.322871	+	0.559228i
$159$	0.686141	−	2.27567i	0.0544145	−	0.180472i
$160$	−0.686141	−	2.12819i	−0.0542442	−	0.168249i
$161$	−8.74456	−	7.57301i	−0.689168	−	0.596837i
$162$	8.93070	+	1.11469i	0.701662	+	0.0875785i
$163$	3.00000	−	1.73205i	0.234978	−	0.135665i	−0.377888	−	0.925851i	$-0.623350\pi$
$163$	3.00000	−	1.73205i	0.234978	−	0.135665i	0.612866	+	0.790186i	$0.290016\pi$
$164$	−0.813859	+	1.40965i	−0.0635517	+	0.110075i
$165$	14.1168	−	8.51278i	1.09899	−	0.662719i
$166$	−1.24456	+	0.718549i	−0.0965968	+	0.0557702i
$167$		−	11.3321i		−	0.876902i	−0.898755	−	0.438451i	$-0.855527\pi$
$167$		−	11.3321i		−	0.876902i	0.898755	−	0.438451i	$-0.144473\pi$
$168$	3.87228	−	2.45060i	0.298753	−	0.189068i
$169$	−9.00000			−0.692308
$170$	−11.0000	−	9.94987i	−0.843661	−	0.763121i
$171$	−5.74456	+	8.66025i	−0.439298	+	0.662266i
$172$	9.55842	+	5.51856i	0.728823	+	0.420786i
$173$	−3.25544	+	1.87953i	−0.247506	+	0.142898i	−0.618622	−	0.785689i	$-0.712309\pi$
$173$	−3.25544	+	1.87953i	−0.247506	+	0.142898i	0.371116	+	0.928587i	$0.378975\pi$
$174$	−4.18614	+	3.93398i	−0.317351	+	0.298235i
$175$	5.55842	+	12.0043i	0.420177	+	0.907442i
$176$		−	4.25639i		−	0.320837i
$177$	2.05842	−	6.82701i	0.154720	−	0.513150i
$178$	−2.18614	+	3.78651i	−0.163858	+	0.283811i
$179$	−2.48913	−	1.43710i	−0.186046	−	0.107414i	0.404084	−	0.914722i	$-0.367590\pi$
$179$	−2.48913	−	1.43710i	−0.186046	−	0.107414i	−0.590130	+	0.807308i	$0.700924\pi$
$180$	4.68614	+	4.80001i	0.349284	+	0.357772i
$181$		−	17.9653i		−	1.33535i	−0.744452	−	0.667676i	$-0.767289\pi$
$181$		−	17.9653i		−	1.33535i	0.744452	−	0.667676i	$-0.232711\pi$
$182$	4.00000	+	3.46410i	0.296500	+	0.256776i
$183$	−3.55842	+	3.34408i	−0.263046	+	0.247201i
$184$	−2.18614	−	3.78651i	−0.161164	−	0.279145i
$185$	−5.48913	+	25.5383i	−0.403569	+	1.87762i
$186$	−0.941578	−	4.00772i	−0.0690398	−	0.293860i
$187$	−14.1168	−	24.4511i	−1.03233	−	1.78804i
$188$			1.87953i			0.137079i
$189$	−7.12772	+	11.7557i	−0.518465	+	0.855099i
$190$	−7.37228	+	2.37686i	−0.534842	+	0.172436i
$191$	3.25544	−	1.87953i	0.235555	−	0.135998i	−0.377577	−	0.925978i	$-0.623243\pi$
$191$	3.25544	−	1.87953i	0.235555	−	0.135998i	0.613132	+	0.789980i	$0.289909\pi$
$192$	1.68614	−	0.396143i	0.121687	−	0.0285892i
$193$	6.94158	+	4.00772i	0.499666	+	0.288482i	0.728575	−	0.684966i	$-0.240183\pi$
$193$	6.94158	+	4.00772i	0.499666	+	0.288482i	−0.228910	+	0.973448i	$0.573516\pi$
$194$	1.05842	+	1.83324i	0.0759903	+	0.131619i
$195$	−3.74456	+	6.78073i	−0.268154	+	0.485578i
$196$	1.00000	+	6.92820i	0.0714286	+	0.494872i
$197$	20.2337			1.44159			0.720795	−	0.693148i	$-0.243777\pi$
$197$	20.2337			1.44159			0.720795	+	0.693148i	$0.243777\pi$
$198$	5.68614	+	11.4333i	0.404096	+	0.812526i
$199$	−16.1168	−	9.30506i	−1.14249	−	0.659619i	−0.195446	−	0.980714i	$-0.562615\pi$
$199$	−16.1168	−	9.30506i	−1.14249	−	0.659619i	−0.947047	+	0.321096i	$0.895949\pi$
$200$	0.500000	+	4.97494i	0.0353553	+	0.351781i
$201$	12.5584	+	3.78651i	0.885803	+	0.267080i
$202$	16.3723			1.15195
$203$	−2.87228	−	8.29156i	−0.201595	−	0.581954i
$204$	8.37228	−	7.86797i	0.586177	−	0.550868i
$205$	2.44158	−	2.69927i	0.170527	−	0.188525i
$206$	−7.55842	+	13.0916i	−0.526620	+	0.912133i
$207$	10.9307	+	7.25061i	0.759736	+	0.503952i
$208$	1.00000	+	1.73205i	0.0693375	+	0.120096i
$209$	−14.7446			−1.01990
$210$	−9.61684	+	3.53784i	−0.663625	+	0.244134i
$211$	−18.2337			−1.25526			−0.627629	−	0.778512i	$-0.715975\pi$
$211$	−18.2337			−1.25526			−0.627629	+	0.778512i	$0.715975\pi$
$212$	0.686141	+	1.18843i	0.0471243	+	0.0816217i
$213$	−0.744563	−	3.16915i	−0.0510166	−	0.217146i
$214$	−8.87228	+	15.3672i	−0.606497	+	1.05048i
$215$	−18.3030	−	16.5557i	−1.24825	−	1.12909i
$216$	−4.00000	+	3.31662i	−0.272166	+	0.225668i
$217$	6.17527	+	1.18843i	0.419204	+	0.0806759i
$218$	−9.11684			−0.617471
$219$	1.00000	−	3.31662i	0.0675737	−	0.224117i
$220$	−2.00000	+	9.30506i	−0.134840	+	0.627347i
$221$	11.4891	+	6.63325i	0.772842	+	0.446201i
$222$	−19.3723	−	5.84096i	−1.30018	−	0.392020i
$223$	−18.1168			−1.21319			−0.606597	−	0.795010i	$-0.707466\pi$
$223$	−18.1168			−1.21319			−0.606597	+	0.795010i	$0.707466\pi$
$224$	−0.500000	+	2.59808i	−0.0334077	+	0.173591i
$225$	−7.98913	−	12.6954i	−0.532608	−	0.846362i
$226$	1.62772	+	2.81929i	0.108274	+	0.187536i
$227$	13.5475	+	7.82168i	0.899182	+	0.519143i	0.876935	−	0.480609i	$-0.159584\pi$
$227$	13.5475	+	7.82168i	0.899182	+	0.519143i	0.0222475	+	0.999752i	$0.492918\pi$
$228$	−1.37228	−	5.84096i	−0.0908816	−	0.386827i
$229$	12.0000	−	6.92820i	0.792982	−	0.457829i	−0.0480291	−	0.998846i	$-0.515294\pi$
$229$	12.0000	−	6.92820i	0.792982	−	0.457829i	0.841011	+	0.541017i	$0.181961\pi$
$230$	3.00000	+	9.30506i	0.197814	+	0.613558i
$231$	−19.4891	+	0.792287i	−1.28229	+	0.0521287i
$232$		−	3.31662i		−	0.217747i
$233$	−11.7446	−	20.3422i	−0.769412	−	1.33266i	−0.937882	−	0.346954i	$-0.887216\pi$
$233$	−11.7446	−	20.3422i	−0.769412	−	1.33266i	0.168470	−	0.985707i	$-0.446117\pi$
$234$	−5.00000	−	3.31662i	−0.326860	−	0.216815i
$235$	0.883156	−	4.10891i	0.0576107	−	0.268036i
$236$	2.05842	+	3.56529i	0.133992	+	0.232081i
$237$	9.62772	+	10.2448i	0.625388	+	0.665473i
$238$	5.74456	+	16.5831i	0.372365	+	1.07492i
$239$			2.87419i			0.185916i	0.995670	+	0.0929581i	$0.0296323\pi$
$239$			2.87419i			0.185916i	−0.995670	+	0.0929581i	$0.970368\pi$
$240$	−3.87228	+	0.0737384i	−0.249955	+	0.00475979i
$241$	9.17527	+	5.29734i	0.591031	+	0.341232i	0.765505	−	0.643430i	$-0.222489\pi$
$241$	9.17527	+	5.29734i	0.591031	+	0.341232i	−0.174474	+	0.984662i	$0.555823\pi$
$242$	−3.55842	+	6.16337i	−0.228744	+	0.396196i
$243$	6.31386	−	14.2525i	0.405034	−	0.914302i
$244$		−	2.81929i		−	0.180487i
$245$	1.06930	−	15.6159i	0.0683149	−	0.997664i
$246$	1.93070	+	2.05446i	0.123097	+	0.130987i
$247$	6.00000	−	3.46410i	0.381771	−	0.220416i
$248$	2.05842	+	1.18843i	0.130710	+	0.0754654i
$249$	0.569297	+	2.42315i	0.0360777	+	0.153561i
$250$	1.24456	−	11.1109i	0.0787131	−	0.702712i
$251$	16.1168			1.01729			0.508643	−	0.860977i	$-0.330147\pi$
$251$	16.1168			1.01729			0.508643	+	0.860977i	$0.330147\pi$
$252$	−2.12772	−	7.64675i	−0.134034	−	0.481700i
$253$			18.6101i			1.17001i
$254$	2.05842	−	1.18843i	0.129157	−	0.0745688i
$255$	−22.0000	+	13.2665i	−1.37769	+	0.830780i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	−7.37228	+	4.25639i	−0.459870	+	0.265506i	−0.711990	−	0.702190i	$-0.752206\pi$
$257$	−7.37228	+	4.25639i	−0.459870	+	0.265506i	0.252119	+	0.967696i	$0.418872\pi$
$258$	13.9307	−	13.0916i	0.867288	−	0.815046i
$259$	20.2337	−	23.3639i	1.25726	−	1.45176i
$260$	−1.37228	−	4.25639i	−0.0851053	−	0.263970i
$261$	4.43070	+	8.90892i	0.274254	+	0.551448i
$262$	−2.31386	+	4.00772i	−0.142951	+	0.247598i
$263$	0.813859	−	1.40965i	0.0501847	−	0.0869225i	−0.839842	−	0.542831i	$-0.817352\pi$
$263$	0.813859	−	1.40965i	0.0501847	−	0.0869225i	0.890027	+	0.455909i	$0.150686\pi$
$264$	−7.05842	−	2.12819i	−0.434416	−	0.130981i
$265$	−0.941578	−	2.92048i	−0.0578407	−	0.179404i
$266$	9.00000	+	1.73205i	0.551825	+	0.106199i
$267$	5.18614	+	5.51856i	0.317387	+	0.337730i
$268$	−6.55842	+	3.78651i	−0.400619	+	0.231298i
$269$	9.98913	−	17.3017i	0.609048	−	1.05490i	−0.382350	−	0.924018i	$-0.624885\pi$
$269$	9.98913	−	17.3017i	0.609048	−	1.05490i	0.991398	−	0.130884i	$-0.0417815\pi$
$270$	10.3030	−	5.37108i	0.627020	−	0.326874i
$271$	−18.1753	+	10.4935i	−1.10407	+	0.637434i	−0.937287	−	0.348559i	$-0.886671\pi$
$271$	−18.1753	+	10.4935i	−1.10407	+	0.637434i	−0.166782	+	0.985994i	$0.553338\pi$
$272$			6.63325i			0.402200i
$273$	7.74456	−	4.90120i	0.468722	−	0.296634i
$274$	2.74456			0.165805
$275$	8.74456	−	19.4024i	0.527317	−	1.17001i
$276$	−7.37228	+	1.73205i	−0.443759	+	0.104257i
$277$	−25.1168	−	14.5012i	−1.50912	−	0.871294i	−0.999943	−	0.0106345i	$-0.996615\pi$
$277$	−25.1168	−	14.5012i	−1.50912	−	0.871294i	−0.509181	−	0.860659i	$-0.670052\pi$
$278$	−10.1168	+	5.84096i	−0.606768	+	0.350318i
$279$	−7.11684	−	0.442430i	−0.426074	−	0.0264876i
$280$	2.31386	−	5.44482i	0.138280	−	0.325390i
$281$		−	21.7793i		−	1.29924i	−0.760258	−	0.649621i	$-0.774927\pi$
$281$		−	21.7793i		−	1.29924i	0.760258	−	0.649621i	$-0.225073\pi$
$282$	3.11684	+	0.939764i	0.185605	+	0.0559621i
$283$	−8.00000	+	13.8564i	−0.475551	+	0.823678i	−0.999608	−	0.0280052i	$-0.991084\pi$
$283$	−8.00000	+	13.8564i	−0.475551	+	0.823678i	0.524057	+	0.851683i	$0.324418\pi$
$284$	1.62772	+	0.939764i	0.0965873	+	0.0557647i
$285$	0.255437	+	13.4140i	0.0151308	+	0.794575i
$286$		−	8.51278i		−	0.503371i
$287$	−4.06930	+	1.40965i	−0.240203	+	0.0832088i
$288$	0.186141	−	2.99422i	0.0109684	−	0.176436i
$289$	13.5000	+	23.3827i	0.794118	+	1.37545i
$290$	−1.55842	+	7.25061i	−0.0915137	+	0.425770i
$291$	3.56930	−	0.838574i	0.209236	−	0.0491581i
$292$	1.00000	+	1.73205i	0.0585206	+	0.101361i
$293$			25.0410i			1.46291i	0.681889	+	0.731455i	$0.261159\pi$
$293$			25.0410i			1.46291i	−0.681889	+	0.731455i	$0.738841\pi$
$294$	11.9891	+	1.80579i	0.699220	+	0.105316i
$295$	−2.82473	−	8.76144i	−0.164462	−	0.510111i
$296$	10.1168	−	5.84096i	0.588030	−	0.339499i
$297$	21.8030	−	3.71277i	1.26514	−	0.215437i
$298$	−12.3030	−	7.10313i	−0.712693	−	0.411473i
$299$	−4.37228	−	7.57301i	−0.252856	−	0.437959i
$300$	8.50000	+	1.65831i	0.490748	+	0.0957427i
$301$	9.55842	+	27.5928i	0.550938	+	1.59042i
$302$	8.11684			0.467072
$303$	8.18614	−	27.1504i	0.470281	−	1.55975i
$304$	3.00000	+	1.73205i	0.172062	+	0.0993399i
$305$	−1.32473	+	6.16337i	−0.0758541	+	0.352913i
$306$	−8.86141	−	17.8178i	−0.506573	−	1.01858i
$307$	−6.88316			−0.392842			−0.196421	−	0.980520i	$-0.562932\pi$
$307$	−6.88316			−0.392842			−0.196421	+	0.980520i	$0.562932\pi$
$308$	7.37228	−	8.51278i	0.420075	−	0.485060i
$309$	17.9307	+	19.0800i	1.02004	+	1.08542i
$310$	−3.94158	−	3.56529i	−0.223867	−	0.202495i
$311$	−7.11684	+	12.3267i	−0.403559	+	0.698985i	−0.994153	−	0.107984i	$-0.965560\pi$
$311$	−7.11684	+	12.3267i	−0.403559	+	0.698985i	0.590593	+	0.806969i	$0.298894\pi$
$312$	3.37228	−	0.792287i	0.190918	−	0.0448544i
$313$	−7.05842	−	12.2255i	−0.398966	−	0.691029i	0.594633	−	0.803997i	$-0.297297\pi$
$313$	−7.05842	−	12.2255i	−0.398966	−	0.691029i	−0.993599	+	0.112969i	$0.963964\pi$
$314$	8.00000			0.451466
$315$	1.05842	+	17.7167i	0.0596353	+	0.998220i
$316$	−8.11684			−0.456608
$317$	8.05842	+	13.9576i	0.452606	+	0.783937i	0.998547	−	0.0538869i	$-0.0171611\pi$
$317$	8.05842	+	13.9576i	0.452606	+	0.783937i	−0.545941	+	0.837824i	$0.683828\pi$
$318$	2.31386	−	0.543620i	0.129755	−	0.0304847i
$319$	−7.05842	+	12.2255i	−0.395196	+	0.684499i
$320$	1.50000	−	1.65831i	0.0838525	−	0.0927025i
$321$	21.0475	+	22.3966i	1.17476	+	1.25006i
$322$	2.18614	−	11.3595i	0.121829	−	0.633041i
$323$	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
$327$	−4.55842	+	15.1186i	−0.252081	+	0.836059i
$328$	−1.62772			−0.0898757
$329$	−3.25544	+	3.75906i	−0.179478	+	0.207243i
$330$	14.4307	+	7.96916i	0.794384	+	0.438688i
$331$	−5.11684	−	8.86263i	−0.281247	−	0.487134i	0.690445	−	0.723385i	$-0.257415\pi$
$331$	−5.11684	−	8.86263i	−0.281247	−	0.487134i	−0.971692	+	0.236250i	$0.924081\pi$
$332$	−1.24456	−	0.718549i	−0.0683042	−	0.0394355i
$333$	−19.3723	+	29.2048i	−1.06159	+	1.60041i
$334$	9.81386	−	5.66603i	0.536990	−	0.310032i
$335$	16.1168	−	5.19615i	0.880557	−	0.283896i
$336$	4.05842	+	2.12819i	0.221405	+	0.116103i
$337$		−	9.30506i		−	0.506879i	−0.967351	−	0.253440i	$-0.918438\pi$
$337$		−	9.30506i		−	0.506879i	0.967351	−	0.253440i	$-0.0815619\pi$
$338$	−4.50000	−	7.79423i	−0.244768	−	0.423950i
$339$	5.48913	−	1.28962i	0.298128	−	0.0700426i
$340$	3.11684	−	14.5012i	0.169035	−	0.786439i
$341$	−5.05842	−	8.76144i	−0.273929	−	0.474459i
$342$	−10.3723	−	0.644810i	−0.560869	−	0.0348673i
$343$	−10.0000	+	15.5885i	−0.539949	+	0.841698i
$344$			11.0371i			0.595081i
$345$	16.9307	−	0.322405i	0.911518	−	0.0173577i
$346$	−3.25544	−	1.87953i	−0.175013	−	0.101044i
$347$	9.55842	−	16.5557i	0.513123	−	0.888755i	−0.486761	−	0.873535i	$-0.661822\pi$
$347$	9.55842	−	16.5557i	0.513123	−	0.888755i	0.999884	−	0.0152200i	$-0.00484486\pi$
$348$	−5.50000	−	1.65831i	−0.294831	−	0.0888949i
$349$		−	24.0087i		−	1.28515i	−0.766221	−	0.642577i	$-0.777865\pi$
$349$		−	24.0087i		−	1.28515i	0.766221	−	0.642577i	$-0.222135\pi$
$350$	−7.61684	+	10.8159i	−0.407137	+	0.578134i
$351$	−8.00000	+	6.63325i	−0.427008	+	0.354057i
$352$	3.68614	−	2.12819i	0.196472	−	0.113433i
$353$	16.3723	+	9.45254i	0.871409	+	0.503108i	0.867816	−	0.496886i	$-0.165523\pi$
$353$	16.3723	+	9.45254i	0.871409	+	0.503108i	0.00359253	+	0.999994i	$0.498856\pi$
$354$	6.94158	−	1.63086i	0.368941	−	0.0866793i
$355$	−3.11684	−	2.81929i	−0.165425	−	0.149632i
$356$	−4.37228			−0.231730
$357$	30.3723	−	1.23472i	1.60747	−	0.0653482i
$358$		−	2.87419i		−	0.151906i
$359$	12.2554	−	7.07568i	0.646817	−	0.373440i	−0.140419	−	0.990092i	$-0.544845\pi$
$359$	12.2554	−	7.07568i	0.646817	−	0.373440i	0.787236	+	0.616652i	$0.211511\pi$
$360$	−1.81386	+	6.45832i	−0.0955988	+	0.340383i
$361$	−3.50000	+	6.06218i	−0.184211	+	0.319062i
$362$	15.5584	−	8.98266i	0.817733	−	0.472118i
$363$	8.44158	+	8.98266i	0.443068	+	0.471467i
$364$	−1.00000	+	5.19615i	−0.0524142	+	0.272352i
$365$	−1.37228	−	4.25639i	−0.0718285	−	0.222790i
$366$	−4.67527	−	1.40965i	−0.244380	−	0.0736834i
$367$	−10.6168	+	18.3889i	−0.554195	+	0.959893i	0.443771	+	0.896140i	$0.353640\pi$
$367$	−10.6168	+	18.3889i	−0.554195	+	0.959893i	−0.997966	+	0.0637532i	$0.979693\pi$
$368$	2.18614	−	3.78651i	0.113960	−	0.197385i
$369$	4.37228	−	2.17448i	0.227612	−	0.113199i
$370$	−24.8614	+	8.01544i	−1.29248	+	0.416703i
$371$	−0.686141	+	3.56529i	−0.0356226	+	0.185101i
$372$	3.00000	−	2.81929i	0.155543	−	0.146173i
$373$	14.2337	−	8.21782i	0.736992	−	0.425503i	−0.0839823	−	0.996467i	$-0.526764\pi$
$373$	14.2337	−	8.21782i	0.736992	−	0.425503i	0.820975	+	0.570964i	$0.193431\pi$
$374$	14.1168	−	24.4511i	0.729965	−	1.26434i
$375$	−17.8030	−	7.61930i	−0.919342	−	0.393459i
$376$	−1.62772	+	0.939764i	−0.0839432	+	0.0484646i
$377$		−	6.63325i		−	0.341630i
$378$	−13.7446	−	0.294954i	−0.706944	−	0.0151708i
$379$	22.2337			1.14207			0.571034	−	0.820926i	$-0.306542\pi$
$379$	22.2337			1.14207			0.571034	+	0.820926i	$0.306542\pi$
$380$	−5.74456	−	5.19615i	−0.294690	−	0.266557i
$381$	−0.941578	−	4.00772i	−0.0482385	−	0.205322i
$382$	3.25544	+	1.87953i	0.166563	+	0.0961650i
$383$	−18.0475	+	10.4198i	−0.922187	+	0.532425i	−0.884332	−	0.466859i	$-0.845386\pi$
$383$	−18.0475	+	10.4198i	−0.922187	+	0.532425i	−0.0378546	+	0.999283i	$0.512052\pi$
$384$	1.18614	+	1.26217i	0.0605300	+	0.0644098i
$385$	−20.1168	+	15.1460i	−1.02525	+	0.771913i
$386$			8.01544i			0.407975i
$387$	−14.7446	−	29.6472i	−0.749508	−	1.50705i
$388$	−1.05842	+	1.83324i	−0.0537332	+	0.0930687i
$389$	−29.4891	−	17.0256i	−1.49516	−	0.863230i	−0.495173	−	0.868794i	$-0.664896\pi$
$389$	−29.4891	−	17.0256i	−1.49516	−	0.863230i	−0.999985	+	0.00556424i	$0.998229\pi$
$390$	−7.74456	+	0.147477i	−0.392161	+	0.00746778i
$391$		−	29.0024i		−	1.46672i
$392$	−5.50000	+	4.33013i	−0.277792	+	0.218704i
$393$	5.48913	+	5.84096i	0.276890	+	0.294638i
$394$	10.1168	+	17.5229i	0.509679	+	0.882790i
$395$	17.7446	+	3.81396i	0.892826	+	0.191901i
$396$	−7.05842	+	10.6410i	−0.354699	+	0.534729i
$397$	4.00000	+	6.92820i	0.200754	+	0.347717i	0.948772	−	0.315963i	$-0.102327\pi$
$397$	4.00000	+	6.92820i	0.200754	+	0.347717i	−0.748017	+	0.663679i	$0.768994\pi$
$398$		−	18.6101i		−	0.932841i
$399$	7.37228	−	14.0588i	0.369076	−	0.703820i
$400$	−4.05842	+	2.92048i	−0.202921	+	0.146024i
$401$	−17.1861	+	9.92242i	−0.858235	+	0.495502i	−0.863421	−	0.504484i	$-0.831683\pi$
$401$	−17.1861	+	9.92242i	−0.858235	+	0.495502i	0.00518590	+	0.999987i	$0.498349\pi$
$402$	3.00000	+	12.7692i	0.149626	+	0.636868i
$403$	4.11684	+	2.37686i	0.205075	+	0.118400i
$404$	8.18614	+	14.1788i	0.407276	+	0.705422i
$405$	−3.75544	−	19.7711i	−0.186609	−	0.982434i
$406$	5.74456	−	6.63325i	0.285098	−	0.329203i
$407$	−49.7228			−2.46467
$408$	11.0000	+	3.31662i	0.544581	+	0.164197i
$409$	−30.7337	−	17.7441i	−1.51968	−	0.877389i	−0.999731	−	0.0231940i	$-0.992616\pi$
$409$	−30.7337	−	17.7441i	−1.51968	−	0.877389i	−0.519952	−	0.854195i	$-0.674050\pi$
$410$	3.55842	+	0.764836i	0.175738	+	0.0377725i
$411$	1.37228	−	4.55134i	0.0676896	−	0.224501i
$412$	−15.1168			−0.744753
$413$	−2.05842	+	10.6959i	−0.101288	+	0.526310i
$414$	−0.813859	+	13.0916i	−0.0399990	+	0.643416i
$415$	2.38316	+	2.15565i	0.116985	+	0.105816i
$416$	−1.00000	+	1.73205i	−0.0490290	+	0.0849208i
$417$	4.62772	+	19.6974i	0.226620	+	0.964584i
$418$	−7.37228	−	12.7692i	−0.360590	−	0.624560i
$419$	−29.4891			−1.44064			−0.720319	−	0.693643i	$-0.756005\pi$
$419$	−29.4891			−1.44064			−0.720319	+	0.693643i	$0.756005\pi$
$420$	−7.87228	−	6.55951i	−0.384128	−	0.320071i
$421$	15.1168			0.736750			0.368375	−	0.929677i	$-0.379914\pi$
$421$	15.1168			0.736750			0.368375	+	0.929677i	$0.379914\pi$
$422$	−9.11684	−	15.7908i	−0.443801	−	0.768686i
$423$	3.11684	−	4.69882i	0.151546	−	0.228464i
$424$	−0.686141	+	1.18843i	−0.0333219	+	0.0577153i
$425$	−13.6277	+	30.2372i	−0.661041	+	1.46672i
$426$	2.37228	−	2.22938i	0.114937	−	0.108014i
$427$	4.88316	−	5.63858i	0.236312	−	0.272870i
$428$	−17.7446			−0.857716
$429$	−14.1168	−	4.25639i	−0.681568	−	0.205500i
$430$	5.18614	−	24.1287i	0.250098	−	1.16359i
$431$	−3.25544	−	1.87953i	−0.156809	−	0.0905337i	0.419542	−	0.907736i	$-0.362191\pi$
$431$	−3.25544	−	1.87953i	−0.156809	−	0.0905337i	−0.576351	+	0.817202i	$0.695524\pi$
$432$	−4.87228	−	1.80579i	−0.234418	−	0.0868811i
$433$	34.0000			1.63394			0.816968	−	0.576683i	$-0.195653\pi$
$433$	34.0000			1.63394			0.816968	+	0.576683i	$0.195653\pi$
$434$	2.05842	+	5.94215i	0.0988074	+	0.285232i
$435$	11.2446	+	6.20965i	0.539136	+	0.297730i
$436$	−4.55842	−	7.89542i	−0.218309	−	0.378122i
$437$	−13.1168	−	7.57301i	−0.627464	−	0.362266i
$438$	3.37228	−	0.792287i	0.161134	−	0.0378569i
$439$	−11.0584	+	6.38458i	−0.527790	+	0.304720i	−0.740116	−	0.672479i	$-0.765229\pi$
$439$	−11.0584	+	6.38458i	−0.527790	+	0.304720i	0.212326	+	0.977199i	$0.431896\pi$
$440$	−9.05842	+	2.92048i	−0.431843	+	0.139228i
$441$	8.98913	−	18.9788i	0.428054	−	0.903753i
$442$			13.2665i			0.631023i
$443$	4.50000	+	7.79423i	0.213801	+	0.370315i	0.952901	−	0.303281i	$-0.0980821\pi$
$443$	4.50000	+	7.79423i	0.213801	+	0.370315i	−0.739100	+	0.673596i	$0.764749\pi$
$444$	−4.62772	−	19.6974i	−0.219622	−	0.934796i
$445$	9.55842	+	2.05446i	0.453113	+	0.0973905i
$446$	−9.05842	−	15.6896i	−0.428929	−	0.742926i
$447$	−17.9307	+	16.8506i	−0.848093	+	0.797007i
$448$	−2.50000	+	0.866025i	−0.118114	+	0.0409159i
$449$			35.9855i			1.69826i	0.528182	+	0.849131i	$0.322874\pi$
$449$			35.9855i			1.69826i	−0.528182	+	0.849131i	$0.677126\pi$
$450$	7.00000	−	13.2665i	0.329983	−	0.625389i
$451$	6.00000	+	3.46410i	0.282529	+	0.163118i
$452$	−1.62772	+	2.81929i	−0.0765614	+	0.132608i
$453$	4.05842	−	13.4603i	0.190681	−	0.632418i
$454$			15.6434i			0.734179i
$455$	4.62772	−	10.8896i	0.216951	−	0.510514i
$456$	4.37228	−	4.10891i	0.204751	−	0.192417i
$457$	−11.0584	+	6.38458i	−0.517291	+	0.298658i	−0.735826	−	0.677171i	$-0.763206\pi$
$457$	−11.0584	+	6.38458i	−0.517291	+	0.298658i	0.218534	+	0.975829i	$0.429872\pi$
$458$	12.0000	+	6.92820i	0.560723	+	0.323734i
$459$	−33.9783	+	5.78606i	−1.58597	+	0.270070i
$460$	−6.55842	+	7.25061i	−0.305788	+	0.338061i
$461$	−0.510875			−0.0237938			−0.0118969	−	0.999929i	$-0.503787\pi$
$461$	−0.510875			−0.0237938			−0.0118969	+	0.999929i	$0.503787\pi$
$462$	−10.4307	−	16.4819i	−0.485280	−	0.766809i
$463$			36.5754i			1.69981i	0.526940	+	0.849903i	$0.323339\pi$
$463$			36.5754i			1.69981i	−0.526940	+	0.849903i	$0.676661\pi$
$464$	2.87228	−	1.65831i	0.133342	−	0.0769852i
$465$	−7.88316	+	4.75372i	−0.365573	+	0.220449i
$466$	11.7446	−	20.3422i	0.544056	−	0.942333i
$467$	−0.0475473	+	0.0274514i	−0.00220023	+	0.00127030i	−0.501100	−	0.865390i	$-0.667071\pi$
$467$	−0.0475473	+	0.0274514i	−0.00220023	+	0.00127030i	0.498899	+	0.866660i	$0.333738\pi$
$468$	0.372281	−	5.98844i	0.0172087	−	0.276816i
$469$	−19.6753	−	3.78651i	−0.908519	−	0.174845i
$470$	4.00000	−	1.28962i	0.184506	−	0.0594858i
$471$	4.00000	−	13.2665i	0.184310	−	0.611288i
$472$	−2.05842	+	3.56529i	−0.0947466	+	0.164106i
$473$	23.4891	−	40.6844i	1.08003	−	1.87067i
$474$	−4.05842	+	13.4603i	−0.186409	+	0.618250i
$475$	10.1168	+	14.0588i	0.464193	+	0.645061i
$476$	−11.4891	+	13.2665i	−0.526603	+	0.608069i
$477$	0.255437	−	4.10891i	0.0116957	−	0.188134i
$478$	−2.48913	+	1.43710i	−0.113850	+	0.0657313i
$479$	−4.37228	+	7.57301i	−0.199775	+	0.346020i	−0.948455	−	0.316911i	$-0.897354\pi$
$479$	−4.37228	+	7.57301i	−0.199775	+	0.346020i	0.748681	+	0.662931i	$0.230688\pi$
$480$	−2.00000	−	3.31662i	−0.0912871	−	0.151383i
$481$	20.2337	−	11.6819i	0.922577	−	0.532650i
$482$			10.5947i			0.482575i
$483$	−17.7446	−	9.30506i	−0.807406	−	0.423395i
$484$	−7.11684			−0.323493
$485$	3.17527	−	3.51039i	0.144181	−	0.159399i
$486$	15.5000	−	1.65831i	0.703094	−	0.0752226i
$487$	−3.94158	−	2.27567i	−0.178610	−	0.103121i	0.408029	−	0.912969i	$-0.366216\pi$
$487$	−3.94158	−	2.27567i	−0.178610	−	0.103121i	−0.586639	+	0.809848i	$0.699549\pi$
$488$	2.44158	−	1.40965i	0.110525	−	0.0638117i
$489$	4.37228	−	4.10891i	0.197721	−	0.185811i
$490$	14.0584	−	6.88192i	0.635095	−	0.310893i
$491$			26.9205i			1.21491i	0.794355	+	0.607453i	$0.207809\pi$
$491$			26.9205i			1.21491i	−0.794355	+	0.607453i	$0.792191\pi$
$492$	−0.813859	+	2.69927i	−0.0366916	+	0.121692i
$493$	11.0000	−	19.0526i	0.495415	−	0.858084i
$494$	6.00000	+	3.46410i	0.269953	+	0.155857i
$495$	20.4307	−	19.9460i	0.918292	−	0.896508i
$496$			2.37686i			0.106724i
$497$	1.62772	+	4.69882i	0.0730132	+	0.210771i
$498$	−1.81386	+	1.70460i	−0.0812810	+	0.0763849i
$499$	−14.1168	−	24.4511i	−0.631957	−	1.09458i	−0.987151	−	0.159789i	$-0.948919\pi$
$499$	−14.1168	−	24.4511i	−0.631957	−	1.09458i	0.355195	−	0.934792i	$-0.384415\pi$
$500$	10.2446	−	4.47760i	0.458151	−	0.200245i
$501$	−4.48913	−	19.1075i	−0.200559	−	0.853658i
$502$	8.05842	+	13.9576i	0.359665	+	0.622958i
$503$			9.45254i			0.421468i	0.977543	+	0.210734i	$0.0675854\pi$
$503$			9.45254i			0.421468i	−0.977543	+	0.210734i	$0.932415\pi$
$504$	5.55842	−	5.66603i	0.247592	−	0.252385i
$505$	−11.2337	−	34.8434i	−0.499893	−	1.55051i
$506$	−16.1168	+	9.30506i	−0.716481	+	0.413661i
$507$	−15.1753	+	3.56529i	−0.673957	+	0.158340i
$508$	2.05842	+	1.18843i	0.0913277	+	0.0527281i
$509$	−0.127719	−	0.221215i	−0.00566103	−	0.00980519i	0.863181	−	0.504895i	$-0.168469\pi$
$509$	−0.127719	−	0.221215i	−0.00566103	−	0.00980519i	−0.868842	+	0.495089i	$0.835135\pi$
$510$	−22.4891	−	12.4193i	−0.995835	−	0.549936i
$511$	−1.00000	+	5.19615i	−0.0442374	+	0.229864i
$512$	−1.00000			−0.0441942
$513$	−6.25544	+	16.8781i	−0.276184	+	0.745185i
$514$	−7.37228	−	4.25639i	−0.325177	−	0.187741i
$515$	33.0475	+	7.10313i	1.45625	+	0.313001i
$516$	18.3030	+	5.51856i	0.805744	+	0.242941i
$517$	8.00000			0.351840
$518$	30.3505	+	5.84096i	1.33353	+	0.256637i
$519$	−4.74456	+	4.45877i	−0.208263	+	0.195718i
$520$	3.00000	−	3.31662i	0.131559	−	0.145444i
$521$	−1.62772	+	2.81929i	−0.0713116	+	0.123515i	−0.899476	−	0.436969i	$-0.856052\pi$
$521$	−1.62772	+	2.81929i	−0.0713116	+	0.123515i	0.828165	+	0.560485i	$0.189385\pi$
$522$	−5.50000	+	8.29156i	−0.240728	+	0.362912i
$523$	−12.1168	−	20.9870i	−0.529833	−	0.917697i	−0.999394	−	0.0347974i	$-0.988921\pi$
$523$	−12.1168	−	20.9870i	−0.529833	−	0.917697i	0.469562	−	0.882900i	$-0.344412\pi$
$524$	−4.62772			−0.202163
$525$	14.1277	+	18.0391i	0.616584	+	0.787289i
$526$	1.62772			0.0709719
$527$	7.88316	+	13.6540i	0.343396	+	0.594779i
$528$	−1.68614	−	7.17687i	−0.0733799	−	0.312333i
$529$	1.94158	−	3.36291i	0.0844164	−	0.146214i
$530$	2.05842	−	2.27567i	0.0894121	−	0.0988488i
$531$	0.766312	−	12.3267i	0.0332551	−	0.534935i
$532$	3.00000	+	8.66025i	0.130066	+	0.375470i
$533$	−3.25544			−0.141009
$534$	−2.18614	+	7.25061i	−0.0946036	+	0.313765i
$535$	38.7921	+	8.33785i	1.67713	+	0.360477i
$536$	−6.55842	−	3.78651i	−0.283281	−	0.163552i
$537$	−4.76631	−	1.43710i	−0.205682	−	0.0620153i
$538$	19.9783			0.861324
$539$	29.4891	−	4.25639i	1.27019	−	0.183336i
$540$	9.80298	+	6.23711i	0.421853	+	0.268402i
$541$	6.67527	+	11.5619i	0.286992	+	0.497085i	0.973090	−	0.230424i	$-0.0740113\pi$
$541$	6.67527	+	11.5619i	0.286992	+	0.497085i	−0.686098	+	0.727509i	$0.740678\pi$
$542$	−18.1753	−	10.4935i	−0.780695	−	0.450734i
$543$	−7.11684	−	30.2921i	−0.305413	−	1.29996i
$544$	−5.74456	+	3.31662i	−0.246296	+	0.142199i
$545$	6.25544	+	19.4024i	0.267953	+	0.831108i
$546$	8.11684	+	4.25639i	0.347369	+	0.182157i
$547$		−	0.644810i		−	0.0275701i	−0.999905	−	0.0137850i	$-0.995612\pi$
$547$		−	0.644810i		−	0.0275701i	0.999905	−	0.0137850i	$-0.00438806\pi$
$548$	1.37228	+	2.37686i	0.0586210	+	0.101534i
$549$	−4.67527	+	7.04823i	−0.199535	+	0.300811i
$550$	21.1753	−	2.12819i	0.902916	−	0.0907465i
$551$	−5.74456	−	9.94987i	−0.244727	−	0.423879i
$552$	−5.18614	−	5.51856i	−0.220737	−	0.234885i
$553$	−16.2337	−	14.0588i	−0.690327	−	0.597840i
$554$		−	29.0024i		−	1.23220i
$555$	0.861407	+	45.2357i	0.0365647	+	1.92015i
$556$	−10.1168	−	5.84096i	−0.429050	−	0.247712i
$557$	−0.430703	+	0.746000i	−0.0182495	+	0.0316090i	−0.875006	−	0.484112i	$-0.839143\pi$
$557$	−0.430703	+	0.746000i	−0.0182495	+	0.0316090i	0.856756	+	0.515721i	$0.172476\pi$
$558$	−3.17527	−	6.38458i	−0.134420	−	0.270281i
$559$			22.0742i			0.933640i
$560$	5.87228	−	0.718549i	0.248149	−	0.0303642i
$561$	−33.4891	−	35.6357i	−1.41391	−	1.50454i
$562$	18.8614	−	10.8896i	0.795620	−	0.459352i
$563$	−10.2446	−	5.91470i	−0.431757	−	0.249275i	0.268338	−	0.963325i	$-0.413526\pi$
$563$	−10.2446	−	5.91470i	−0.431757	−	0.249275i	−0.700095	+	0.714050i	$0.746859\pi$
$564$	0.744563	+	3.16915i	0.0313517	+	0.133445i
$565$	4.88316	−	5.39853i	0.205436	−	0.227118i
$566$	−16.0000			−0.672530
$567$	−7.36141	+	22.6453i	−0.309150	+	0.951013i
$568$			1.87953i			0.0788632i
$569$	−18.8614	+	10.8896i	−0.790711	+	0.456517i	−0.840213	−	0.542257i	$-0.817570\pi$
$569$	−18.8614	+	10.8896i	−0.790711	+	0.456517i	0.0495016	+	0.998774i	$0.484237\pi$
$570$	−11.4891	+	6.92820i	−0.481227	+	0.290191i
$571$	−17.1168	+	29.6472i	−0.716318	+	1.24070i	0.246132	+	0.969236i	$0.420840\pi$
$571$	−17.1168	+	29.6472i	−0.716318	+	1.24070i	−0.962449	+	0.271462i	$0.912493\pi$
$572$	7.37228	−	4.25639i	0.308251	−	0.177969i
$573$	4.74456	−	4.45877i	0.198207	−	0.186268i
$574$	−3.25544	−	2.81929i	−0.135879	−	0.117675i
$575$	17.7446	−	12.7692i	0.739999	−	0.532511i
$576$	2.68614	−	1.33591i	0.111923	−	0.0556628i
$577$	−8.94158	+	15.4873i	−0.372243	+	0.644743i	−0.989910	−	0.141696i	$-0.954744\pi$
$577$	−8.94158	+	15.4873i	−0.372243	+	0.644743i	0.617667	+	0.786439i	$0.288078\pi$
$578$	−13.5000	+	23.3827i	−0.561526	+	0.972592i
$579$	13.2921	+	4.00772i	0.552401	+	0.166555i
$580$	−7.05842	+	2.27567i	−0.293085	+	0.0944921i
$581$	−1.24456	−	3.59274i	−0.0516332	−	0.149052i
$582$	2.51087	+	2.67181i	0.104079	+	0.110750i
$583$	5.05842	−	2.92048i	0.209498	−	0.120954i
$584$	−1.00000	+	1.73205i	−0.0413803	+	0.0716728i
$585$	−3.62772	+	12.9166i	−0.149988	+	0.534037i
$586$	−21.6861	+	12.5205i	−0.895846	+	0.517217i
$587$		−	36.4280i		−	1.50354i	−0.659424	−	0.751772i	$-0.729200\pi$
$587$		−	36.4280i		−	1.50354i	0.659424	−	0.751772i	$-0.270800\pi$
$588$	4.43070	+	11.2858i	0.182719	+	0.465418i
$589$	8.23369			0.339263
$590$	6.17527	−	6.82701i	0.254232	−	0.281064i
$591$	34.1168	−	8.01544i	1.40338	−	0.329711i
$592$	10.1168	+	5.84096i	0.415800	+	0.240062i
$593$	−12.2554	+	7.07568i	−0.503270	+	0.290563i	−0.730063	−	0.683380i	$-0.760509\pi$
$593$	−12.2554	+	7.07568i	−0.503270	+	0.290563i	0.226793	+	0.973943i	$0.427176\pi$
$594$	14.1168	+	17.0256i	0.579221	+	0.698567i
$595$	31.3505	−	23.6039i	1.28525	−	0.967666i
$596$		−	14.2063i		−	0.581911i
$597$	−30.8614	−	9.30506i	−1.26307	−	0.380831i
$598$	4.37228	−	7.57301i	0.178796	−	0.309684i
$599$	−7.37228	−	4.25639i	−0.301223	−	0.173911i	0.341769	−	0.939784i	$-0.388974\pi$
$599$	−7.37228	−	4.25639i	−0.301223	−	0.173911i	−0.642992	+	0.765873i	$0.722307\pi$
$600$	2.81386	+	8.19037i	0.114875	+	0.334371i
$601$			10.5947i			0.432166i	0.976375	+	0.216083i	$0.0693282\pi$
$601$			10.5947i			0.432166i	−0.976375	+	0.216083i	$0.930672\pi$
$602$	−19.1168	+	22.0742i	−0.779144	+	0.899678i
$603$	22.6753	+	1.40965i	0.923408	+	0.0574052i
$604$	4.05842	+	7.02939i	0.165135	+	0.286022i
$605$	15.5584	+	3.34408i	0.632540	+	0.135956i
$606$	27.6060	−	6.48577i	1.12142	−	0.263467i
$607$	13.7337	+	23.7874i	0.557433	+	0.965503i	0.997710	+	0.0676404i	$0.0215471\pi$
$607$	13.7337	+	23.7874i	0.557433	+	0.965503i	−0.440277	+	0.897862i	$0.645120\pi$
$608$			3.46410i			0.140488i
$609$	−8.12772	−	12.8429i	−0.329352	−	0.520421i
$610$	−6.00000	+	1.93443i	−0.242933	+	0.0783228i
$611$	−3.25544	+	1.87953i	−0.131701	+	0.0760375i
$612$	11.0000	−	16.5831i	0.444649	−	0.670333i
$613$	11.2337	+	6.48577i	0.453724	+	0.261958i	0.709402	−	0.704804i	$-0.248965\pi$
$613$	11.2337	+	6.48577i	0.453724	+	0.261958i	−0.255677	+	0.966762i	$0.582299\pi$
$614$	−3.44158	−	5.96099i	−0.138891	−	0.240566i
$615$	3.04755	−	5.51856i	0.122889	−	0.222530i
$616$	11.0584	+	2.12819i	0.445557	+	0.0857474i
$617$	1.02175			0.0411341			0.0205670	−	0.999788i	$-0.493453\pi$
$617$	1.02175			0.0411341			0.0205670	+	0.999788i	$0.493453\pi$
$618$	−7.55842	+	25.0684i	−0.304044	+	1.00840i
$619$	20.2337	+	11.6819i	0.813261	+	0.469536i	0.848087	−	0.529857i	$-0.177754\pi$
$619$	20.2337	+	11.6819i	0.813261	+	0.469536i	−0.0348263	+	0.999393i	$0.511088\pi$
$620$	1.11684	−	5.19615i	0.0448535	−	0.208683i
$621$	21.3030	+	7.89542i	0.854859	+	0.316832i
$622$	−14.2337			−0.570719
$623$	−8.74456	−	7.57301i	−0.350344	−	0.303406i
$624$	2.37228	+	2.52434i	0.0949673	+	0.101054i
$625$	−24.5000	+	4.97494i	−0.980000	+	0.198997i
$626$	7.05842	−	12.2255i	0.282111	−	0.488631i
$627$	−24.8614	+	5.84096i	−0.992869	+	0.233266i
$628$	4.00000	+	6.92820i	0.159617	+	0.276465i
$629$	77.4891			3.08969
$630$	−14.8139	+	9.77495i	−0.590198	+	0.389443i
$631$	30.1168			1.19893			0.599466	−	0.800400i	$-0.295380\pi$
$631$	30.1168			1.19893			0.599466	+	0.800400i	$0.295380\pi$
$632$	−4.05842	−	7.02939i	−0.161435	−	0.279614i
$633$	−30.7446	+	7.22316i	−1.22199	+	0.287095i
$634$	−8.05842	+	13.9576i	−0.320041	+	0.554327i
$635$	−3.94158	−	3.56529i	−0.156417	−	0.141484i
$636$	1.62772	+	1.73205i	0.0645432	+	0.0686803i
$637$	−11.0000	+	8.66025i	−0.435836	+	0.343132i
$638$	−14.1168			−0.558891
$639$	−2.51087	−	5.04868i	−0.0993287	−	0.199723i
$640$	2.18614	+	0.469882i	0.0864148	+	0.0185737i
$641$	12.3030	+	7.10313i	0.485939	+	0.280557i	0.722888	−	0.690965i	$-0.242814\pi$
$641$	12.3030	+	7.10313i	0.485939	+	0.280557i	−0.236949	+	0.971522i	$0.576148\pi$
$642$	−8.87228	+	29.4260i	−0.350161	+	1.16135i
$643$	−16.2337			−0.640194			−0.320097	−	0.947385i	$-0.603716\pi$
$643$	−16.2337			−0.640194			−0.320097	+	0.947385i	$0.603716\pi$
$644$	10.9307	−	3.78651i	0.430730	−	0.149209i
$645$	−37.4198	−	20.6646i	−1.47340	−	0.813667i
$646$	11.4891	+	19.8997i	0.452034	+	0.782945i
$647$	−22.0693	−	12.7417i	−0.867634	−	0.500928i	−0.00107245	−	0.999999i	$-0.500341\pi$
$647$	−22.0693	−	12.7417i	−0.867634	−	0.500928i	−0.866561	+	0.499071i	$0.833675\pi$
$648$	−5.43070	+	7.17687i	−0.213338	+	0.281934i
$649$	15.1753	−	8.76144i	0.595681	−	0.343917i
$650$	−8.11684	+	5.84096i	−0.318369	+	0.229101i
$651$	10.8832	−	0.442430i	0.426545	−	0.0173402i
$652$			3.46410i			0.135665i
$653$	−5.31386	−	9.20387i	−0.207947	−	0.360175i	0.743120	−	0.669158i	$-0.233345\pi$
$653$	−5.31386	−	9.20387i	−0.207947	−	0.360175i	−0.951068	+	0.308982i	$0.900012\pi$
$654$	−15.3723	+	3.61158i	−0.601104	+	0.141224i
$655$	10.1168	+	2.17448i	0.395298	+	0.0849640i
$656$	−0.813859	−	1.40965i	−0.0317759	−	0.0550374i
$657$	0.372281	−	5.98844i	0.0145241	−	0.233631i
$658$	−4.88316	−	0.939764i	−0.190365	−	0.0366358i
$659$		−	36.9253i		−	1.43841i	−0.694800	−	0.719203i	$-0.744507\pi$
$659$		−	36.9253i		−	1.43841i	0.694800	−	0.719203i	$-0.255493\pi$
$660$	0.313859	+	16.4819i	0.0122170	+	0.641558i
$661$	2.44158	+	1.40965i	0.0949664	+	0.0548289i	0.546731	−	0.837308i	$-0.315872\pi$
$661$	2.44158	+	1.40965i	0.0949664	+	0.0548289i	−0.451765	+	0.892137i	$0.649205\pi$
$662$	5.11684	−	8.86263i	0.198872	−	0.344456i
$663$	22.0000	+	6.63325i	0.854409	+	0.257614i
$664$		−	1.43710i		−	0.0557702i
$665$	−2.48913	−	20.3422i	−0.0965241	−	0.788836i
$666$	−34.9783	−	2.17448i	−1.35538	−	0.0842594i
$667$	−12.5584	+	7.25061i	−0.486264	+	0.280745i
$668$	9.81386	+	5.66603i	0.379710	+	0.219225i
$669$	−30.5475	+	7.17687i	−1.18104	+	0.277474i
$670$	12.5584	+	11.3595i	0.485174	+	0.438857i
$671$	−12.0000			−0.463255
$672$	0.186141	+	4.57879i	0.00718053	+	0.176631i
$673$		−	17.1181i		−	0.659855i	−0.944006	−	0.329928i	$-0.892976\pi$
$673$		−	17.1181i		−	0.659855i	0.944006	−	0.329928i	$-0.107024\pi$
$674$	8.05842	−	4.65253i	0.310399	−	0.179209i
$675$	−18.5000	−	18.2414i	−0.712065	−	0.702113i
$676$	4.50000	−	7.79423i	0.173077	−	0.299778i
$677$	38.9198	−	22.4704i	1.49581	−	0.863607i	0.495822	−	0.868424i	$-0.334867\pi$
$677$	38.9198	−	22.4704i	1.49581	−	0.863607i	0.999988	+	0.00481749i	$0.00153346\pi$
$678$	3.86141	+	4.10891i	0.148296	+	0.157802i
$679$	−5.29211	+	1.83324i	−0.203093	+	0.0703533i
$680$	14.1168	−	4.55134i	0.541356	−	0.174536i
$681$	25.9416	+	7.82168i	0.994083	+	0.299727i
$682$	5.05842	−	8.76144i	0.193697	−	0.335493i
$683$	−6.98913	+	12.1055i	−0.267431	+	0.463205i	−0.968198	−	0.250186i	$-0.919508\pi$
$683$	−6.98913	+	12.1055i	−0.267431	+	0.463205i	0.700766	+	0.713391i	$0.252842\pi$
$684$	−4.62772	−	9.30506i	−0.176945	−	0.355788i
$685$	−1.88316	−	5.84096i	−0.0719517	−	0.223172i
$686$	−18.5000	−	0.866025i	−0.706333	−	0.0330650i
$687$	17.4891	−	16.4356i	0.667252	−	0.627059i
$688$	−9.55842	+	5.51856i	−0.364411	+	0.210393i
$689$	−1.37228	+	2.37686i	−0.0522798	+	0.0905512i
$690$	8.74456	+	14.5012i	0.332900	+	0.552052i
$691$	−26.2337	+	15.1460i	−0.997977	+	0.576182i	−0.907649	−	0.419730i	$-0.862125\pi$
$691$	−26.2337	+	15.1460i	−0.997977	+	0.576182i	−0.0903276	+	0.995912i	$0.528791\pi$
$692$		−	3.75906i		−	0.142898i
$693$	−32.5475	+	9.05640i	−1.23638	+	0.344024i
$694$	19.1168			0.725665
$695$	19.3723	+	17.5229i	0.734833	+	0.664681i
$696$	−1.31386	−	5.59230i	−0.0498017	−	0.211975i
$697$	−9.35053	−	5.39853i	−0.354177	−	0.204484i
$698$	20.7921	−	12.0043i	0.786993	−	0.454371i
$699$	−27.8614	−	29.6472i	−1.05382	−	1.12136i
$700$	−13.1753	−	1.18843i	−0.497978	−	0.0449185i
$701$		−	12.7143i		−	0.480211i	−0.970747	−	0.240106i	$-0.922818\pi$
$701$		−	12.7143i		−	0.480211i	0.970747	−	0.240106i	$-0.0771821\pi$
$702$	−9.74456	−	3.61158i	−0.367785	−	0.136310i
$703$	20.2337	−	35.0458i	0.763128	−	1.32178i
$704$	3.68614	+	2.12819i	0.138927	+	0.0802093i
$705$	−0.138593	−	7.27806i	−0.00521973	−	0.274108i
$706$			18.9051i			0.711502i
$707$	−8.18614	+	42.5364i	−0.307872	+	1.59975i
$708$	4.88316	+	5.19615i	0.183520	+	0.195283i
$709$	2.55842	+	4.43132i	0.0960836	+	0.166422i	0.910060	−	0.414476i	$-0.136035\pi$
$709$	2.55842	+	4.43132i	0.0960836	+	0.166422i	−0.813977	+	0.580897i	$0.802702\pi$
$710$	0.883156	−	4.10891i	0.0331443	−	0.154205i
$711$	20.2921	+	13.4603i	0.761014	+	0.504799i
$712$	−2.18614	−	3.78651i	−0.0819291	−	0.141905i
$713$		−	10.3923i		−	0.389195i
$714$	16.2554	+	25.6858i	0.608344	+	0.961267i
$715$	−18.1168	+	5.84096i	−0.677532	+	0.218440i
$716$	2.48913	−	1.43710i	0.0930230	−	0.0537068i
$717$	1.13859	+	4.84630i	0.0425215	+	0.180988i
$718$	12.2554	+	7.07568i	0.457369	+	0.264062i
$719$	16.6277	+	28.8001i	0.620109	+	1.07406i	0.989465	+	0.144773i	$0.0462451\pi$
$719$	16.6277	+	28.8001i	0.620109	+	1.07406i	−0.369356	+	0.929288i	$0.620422\pi$
$720$	−6.50000	+	1.65831i	−0.242241	+	0.0618017i
$721$	−30.2337	−	26.1831i	−1.12596	−	0.975111i
$722$	−7.00000			−0.260513
$723$	17.5693	+	5.29734i	0.653409	+	0.197010i
$724$	15.5584	+	8.98266i	0.578224	+	0.333838i
$725$	16.5000	−	1.65831i	0.612795	−	0.0615882i
$726$	−3.55842	+	11.8020i	−0.132065	+	0.438011i
$727$	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
$731$	−36.6060	+	63.4034i	−1.35392	+	2.34506i
$732$	−1.11684	−	4.75372i	−0.0412797	−	0.175703i
$733$	18.2337	+	31.5817i	0.673477	+	1.16650i	0.976912	+	0.213644i	$0.0685331\pi$
$733$	18.2337	+	31.5817i	0.673477	+	1.16650i	−0.303435	+	0.952852i	$0.598134\pi$
$734$	−21.2337			−0.783750
$735$	−4.38316	−	26.7542i	−0.161675	−	0.986844i
$736$	4.37228			0.161164
$737$	16.1168	+	27.9152i	0.593672	+	1.02827i
$738$	4.06930	+	2.69927i	0.149793	+	0.0993614i
$739$	18.1168	−	31.3793i	0.666439	−	1.15431i	−0.312454	−	0.949933i	$-0.601151\pi$
$739$	18.1168	−	31.3793i	0.666439	−	1.15431i	0.978893	−	0.204373i	$-0.0655156\pi$
$740$	−19.3723	−	17.5229i	−0.712139	−	0.644154i
$741$	8.74456	−	8.21782i	0.321240	−	0.301889i
$742$	−3.43070	+	1.18843i	−0.125945	+	0.0436287i
$743$	18.6060			0.682587			0.341293	−	0.939957i	$-0.389135\pi$
$743$	18.6060			0.682587			0.341293	+	0.939957i	$0.389135\pi$
$744$	3.94158	+	1.18843i	0.144505	+	0.0435700i
$745$	−6.67527	+	31.0569i	−0.244563	+	1.13784i
$746$	14.2337	+	8.21782i	0.521132	+	0.300876i
$747$	1.91983	+	3.86025i	0.0702429	+	0.141239i
$748$	28.2337			1.03233
$749$	−35.4891	−	30.7345i	−1.29674	−	1.12301i
$750$	−2.30298	−	19.2275i	−0.0840931	−	0.702089i
$751$	−21.0584	−	36.4743i	−0.768433	−	1.33096i	−0.938412	−	0.345517i	$-0.887704\pi$
$751$	−21.0584	−	36.4743i	−0.768433	−	1.33096i	0.169980	−	0.985448i	$-0.445630\pi$
$752$	−1.62772	−	0.939764i	−0.0593568	−	0.0342697i
$753$	27.1753	−	6.38458i	0.990322	−	0.232667i
$754$	5.74456	−	3.31662i	0.209205	−	0.120784i
$755$	−5.56930	−	17.2742i	−0.202687	−	0.628673i
$756$	−6.61684	−	12.0506i	−0.240652	−	0.438277i
$757$		−	5.63858i		−	0.204938i	−0.994736	−	0.102469i	$-0.967326\pi$
$757$		−	5.63858i		−	0.204938i	0.994736	−	0.102469i	$-0.0326742\pi$
$758$	11.1168	+	19.2549i	0.403782	+	0.699371i
$759$	7.37228	+	31.3793i	0.267597	+	1.13900i
$760$	1.62772	−	7.57301i	0.0590436	−	0.274702i
$761$	26.4891	+	45.8805i	0.960230	+	1.66317i	0.721918	+	0.691979i	$0.243261\pi$
$761$	26.4891	+	45.8805i	0.960230	+	1.66317i	0.238312	+	0.971189i	$0.423406\pi$
$762$	3.00000	−	2.81929i	0.108679	−	0.102132i
$763$	4.55842	−	23.6863i	0.165026	−	0.857500i
$764$			3.75906i			0.135998i
$765$	−31.8397	+	31.0843i	−1.15117	+	1.12386i
$766$	−18.0475	−	10.4198i	−0.652084	−	0.376481i
$767$	−4.11684	+	7.13058i	−0.148651	+	0.257470i
$768$	−0.500000	+	1.65831i	−0.0180422	+	0.0598392i
$769$			40.4820i			1.45982i	0.683545	+	0.729909i	$0.260437\pi$
$769$			40.4820i			1.45982i	−0.683545	+	0.729909i	$0.739563\pi$
$770$	−23.1753	−	9.84868i	−0.835179	−	0.354922i
$771$	−10.7446	+	10.0974i	−0.386956	+	0.363647i
$772$	−6.94158	+	4.00772i	−0.249833	+	0.144241i
$773$	−1.62772	−	0.939764i	−0.0585450	−	0.0338010i	0.470442	−	0.882431i	$-0.344095\pi$
$773$	−1.62772	−	0.939764i	−0.0585450	−	0.0338010i	−0.528987	+	0.848630i	$0.677428\pi$
$774$	18.3030	−	27.5928i	0.657887	−	0.991802i
$775$	−4.88316	+	10.8347i	−0.175408	+	0.389195i
$776$	−2.11684			−0.0759903
$777$	24.8614	−	47.4102i	0.891898	−	1.70083i
$778$		−	34.0511i		−	1.22079i
$779$	−4.88316	+	2.81929i	−0.174957	+	0.101012i
$780$	−4.00000	−	6.63325i	−0.143223	−	0.237508i
$781$	4.00000	−	6.92820i	0.143131	−	0.247911i
$782$	25.1168	−	14.5012i	0.898177	−	0.518562i
$783$	11.0000	+	13.2665i	0.393108	+	0.474106i
$784$	−6.50000	−	2.59808i	−0.232143	−	0.0927884i
$785$	−5.48913	−	17.0256i	−0.195915	−	0.607668i
$786$	−2.31386	+	7.67420i	−0.0825326	+	0.273730i
$787$	13.5584	−	23.4839i	0.483306	−	0.837110i	−0.516511	−	0.856281i	$-0.672769\pi$
$787$	13.5584	−	23.4839i	0.483306	−	0.837110i	0.999816	+	0.0191710i	$0.00610269\pi$
$788$	−10.1168	+	17.5229i	−0.360398	+	0.624227i
$789$	0.813859	−	2.69927i	0.0289742	−	0.0960964i
$790$	5.56930	+	17.2742i	0.198147	+	0.614589i
$791$	−8.13859	+	2.81929i	−0.289375	+	0.100242i
$792$	−12.7446	−	0.792287i	−0.452858	−	0.0281527i
$793$	4.88316	−	2.81929i	0.173406	−	0.100116i
$794$	−4.00000	+	6.92820i	−0.141955	+	0.245873i
$795$	−2.74456	−	4.55134i	−0.0973396	−	0.161419i
$796$	16.1168	−	9.30506i	0.571246	−	0.329809i
$797$			4.25639i			0.150769i	0.997155	+	0.0753845i	$0.0240184\pi$
$797$			4.25639i			0.150769i	−0.997155	+	0.0753845i	$0.975982\pi$
$798$	15.8614	−	0.644810i	0.561488	−	0.0228260i
$799$	−12.4674			−0.441064
$800$	−4.55842	−	2.05446i	−0.161165	−	0.0726360i
$801$	10.9307	+	7.25061i	0.386217	+	0.256188i
$802$	−17.1861	−	9.92242i	−0.606864	−	0.350373i
$803$	7.37228	−	4.25639i	0.260162	−	0.150205i
$804$	−9.55842	+	8.98266i	−0.337100	+	0.316794i
$805$	−25.6753	+	3.14170i	−0.904934	+	0.110730i
$806$			4.75372i			0.167443i
$807$	9.98913	−	33.1302i	0.351634	−	1.16624i
$808$	−8.18614	+	14.1788i	−0.287987	+	0.498809i
$809$	22.0693	+	12.7417i	0.775915	+	0.447975i	0.834981	−	0.550279i	$-0.185479\pi$
$809$	22.0693	+	12.7417i	0.775915	+	0.447975i	−0.0590655	+	0.998254i	$0.518812\pi$
$810$	15.2446	−	13.1379i	0.535639	−	0.461617i
$811$			10.3923i			0.364923i	0.983213	+	0.182462i	$0.0584065\pi$
$811$			10.3923i			0.364923i	−0.983213	+	0.182462i	$0.941593\pi$
$812$	8.61684	+	1.65831i	0.302392	+	0.0581954i
$813$	−26.4891	+	24.8935i	−0.929014	+	0.873054i
$814$	−24.8614	−	43.0612i	−0.871392	−	1.50929i
$815$	1.62772	−	7.57301i	0.0570165	−	0.265271i
$816$	2.62772	+	11.1846i	0.0919886	+	0.391539i
$817$	19.1168	+	33.1113i	0.668814	+	1.15842i
$818$		−	35.4882i		−	1.24082i
$819$	11.1168	−	11.3321i	0.388454	−	0.395975i
$820$	1.11684	+	3.46410i	0.0390019	+	0.120972i
$821$	18.4307	−	10.6410i	0.643236	−	0.371372i	−0.142624	−	0.989777i	$-0.545554\pi$
$821$	18.4307	−	10.6410i	0.643236	−	0.371372i	0.785860	+	0.618404i	$0.212221\pi$
$822$	4.62772	−	1.08724i	0.161410	−	0.0379219i
$823$	−37.6753	−	21.7518i	−1.31328	−	0.758221i	−0.330640	−	0.943757i	$-0.607265\pi$
$823$	−37.6753	−	21.7518i	−1.31328	−	0.758221i	−0.982637	+	0.185536i	$0.940598\pi$
$824$	−7.55842	−	13.0916i	−0.263310	−	0.456066i
$825$	7.05842	−	36.1793i	0.245743	−	1.25960i
$826$	−10.2921	+	3.56529i	−0.358108	+	0.124052i
$827$	−33.0000			−1.14752			−0.573761	−	0.819023i	$-0.694516\pi$
$827$	−33.0000			−1.14752			−0.573761	+	0.819023i	$0.694516\pi$
$828$	−11.7446	+	5.84096i	−0.408152	+	0.202987i
$829$	−16.1168	−	9.30506i	−0.559761	−	0.323178i	0.193288	−	0.981142i	$-0.438085\pi$
$829$	−16.1168	−	9.30506i	−0.559761	−	0.323178i	−0.753050	+	0.657964i	$0.771418\pi$
$830$	−0.675266	+	3.14170i	−0.0234388	+	0.109050i
$831$	−48.0951	−	14.5012i	−1.66840	−	0.503042i
$832$	−2.00000			−0.0693375
$833$	−45.9565	+	6.63325i	−1.59230	+	0.229828i
$834$	−14.7446	+	13.8564i	−0.510562	+	0.479808i
$835$	−18.7921	−	16.9981i	−0.650328	−	0.588244i
$836$	7.37228	−	12.7692i	0.254976	−	0.441631i
$837$	−12.1753	+	2.07329i	−0.420839	+	0.0716634i
$838$	−14.7446	−	25.5383i	−0.509342	−	0.882207i
$839$	1.72281			0.0594781			0.0297391	−	0.999558i	$-0.490532\pi$
$839$	1.72281			0.0594781			0.0297391	+	0.999558i	$0.490532\pi$
$840$	1.74456	−	10.0974i	0.0601931	−	0.348392i
$841$	18.0000			0.620690
$842$	7.55842	+	13.0916i	0.260480	+	0.451165i
$843$	−8.62772	−	36.7229i	−0.297154	−	1.26480i
$844$	9.11684	−	15.7908i	0.313815	−	0.543543i
$845$	−13.5000	+	14.9248i	−0.464414	+	0.513429i
$846$	5.62772	+	0.349857i	0.193485	+	0.0120283i
$847$	−14.2337	−	12.3267i	−0.489075	−	0.423552i
$848$	−1.37228			−0.0471243
$849$	−8.00000	+	26.5330i	−0.274559	+	0.910610i
$850$	−33.0000	+	3.31662i	−1.13189	+	0.113759i
$851$	−44.2337	−	25.5383i	−1.51631	−	0.875443i
$852$	3.11684	+	0.939764i	0.106781	+	0.0321958i
$853$	−30.4674			−1.04318			−0.521592	−	0.853195i	$-0.674661\pi$
$853$	−30.4674			−1.04318			−0.521592	+	0.853195i	$0.674661\pi$
$854$	7.32473	+	1.40965i	0.250647	+	0.0482371i
$855$	5.74456	+	22.5167i	0.196460	+	0.770054i
$856$	−8.87228	−	15.3672i	−0.303248	−	0.525242i
$857$	−32.7446	−	18.9051i	−1.11853	−	0.645785i	−0.177507	−	0.984120i	$-0.556803\pi$
$857$	−32.7446	−	18.9051i	−1.11853	−	0.645785i	−0.941026	+	0.338334i	$0.890137\pi$
$858$	−3.37228	−	14.3537i	−0.115128	−	0.490029i
$859$	28.4674	−	16.4356i	0.971294	−	0.560777i	0.0716637	−	0.997429i	$-0.477169\pi$
$859$	28.4674	−	16.4356i	0.971294	−	0.560777i	0.899631	+	0.436652i	$0.143836\pi$
$860$	23.4891	−	7.57301i	0.800973	−	0.258238i
$861$	−6.30298	+	3.98889i	−0.214805	+	0.135941i
$862$		−	3.75906i		−	0.128034i
$863$	3.81386	+	6.60580i	0.129825	+	0.224864i	0.923609	−	0.383336i	$-0.125225\pi$
$863$	3.81386	+	6.60580i	0.129825	+	0.224864i	−0.793783	+	0.608200i	$0.791892\pi$
$864$	−0.872281	−	5.12241i	−0.0296756	−	0.174268i
$865$	−1.76631	+	8.21782i	−0.0600564	+	0.279414i
$866$	17.0000	+	29.4449i	0.577684	+	1.00058i
$867$	32.0258	+	34.0786i	1.08765	+	1.15737i
$868$	−4.11684	+	4.75372i	−0.139735	+	0.161352i
$869$			34.5484i			1.17198i
$870$	0.244563	+	12.8429i	0.00829145	+	0.435415i
$871$	−13.1168	−	7.57301i	−0.444447	−	0.256602i
$872$	4.55842	−	7.89542i	0.154368	−	0.267373i
$873$	5.68614	−	2.82791i	0.192447	−	0.0957102i
$874$		−	15.1460i		−	0.512322i
$875$	28.2446	+	8.78890i	0.954840	+	0.297119i
$876$	2.37228	+	2.52434i	0.0801520	+	0.0852895i
$877$	27.3505	−	15.7908i	0.923562	−	0.533219i	0.0387922	−	0.999247i	$-0.487649\pi$
$877$	27.3505	−	15.7908i	0.923562	−	0.533219i	0.884770	+	0.466029i	$0.154316\pi$
$878$	−11.0584	−	6.38458i	−0.373204	−	0.215469i
$879$	9.91983	+	42.2226i	0.334588	+	1.42413i
$880$	−7.05842	−	6.38458i	−0.237939	−	0.215224i
$881$	−51.3505			−1.73004			−0.865022	−	0.501734i	$-0.832695\pi$
$881$	−51.3505			−1.73004			−0.865022	+	0.501734i	$0.832695\pi$
$882$	20.9307	−	1.70460i	0.704773	−	0.0573968i
$883$			54.9455i			1.84906i	0.381104	+	0.924532i	$0.375544\pi$
$883$			54.9455i			1.84906i	−0.381104	+	0.924532i	$0.624456\pi$
$884$	−11.4891	+	6.63325i	−0.386421	+	0.223100i
$885$	−8.23369	−	13.6540i	−0.276772	−	0.458975i
$886$	−4.50000	+	7.79423i	−0.151180	+	0.261852i
$887$	47.5367	−	27.4453i	1.59613	−	0.921523i	0.603901	−	0.797059i	$-0.293612\pi$
$887$	47.5367	−	27.4453i	1.59613	−	0.921523i	0.992224	−	0.124464i	$-0.0397212\pi$
$888$	14.7446	−	13.8564i	0.494795	−	0.464991i
$889$	2.05842	+	5.94215i	0.0690373	+	0.199293i
$890$	3.00000	+	9.30506i	0.100560	+	0.311906i
$891$	35.2921	−	14.8974i	1.18233	−	0.499080i
$892$	9.05842	−	15.6896i	0.303298	−	0.525328i
$893$	−3.25544	+	5.63858i	−0.108939	+	0.188688i
$894$	−23.5584	−	7.10313i	−0.787911	−	0.237564i
$895$	−6.11684	+	1.97210i	−0.204464	+	0.0659201i
$896$	−2.00000	−	1.73205i	−0.0668153	−	0.0578638i
$897$	−10.3723	−	11.0371i	−0.346320	−	0.368519i
$898$	−31.1644	+	17.9928i	−1.03997	+	0.600427i
$899$	3.94158	−	6.82701i	0.131459	−	0.227694i
$900$	14.9891	−	0.571072i	0.499638	−	0.0190357i
$901$	−7.88316	+	4.55134i	−0.262626	+	0.151627i
$902$			6.92820i			0.230684i
$903$	27.0475	+	42.7388i	0.900086	+	1.42226i
$904$	−3.25544			−0.108274
$905$	−29.7921	−	26.9480i	−0.990323	−	0.895781i
$906$	13.6861	−	3.21543i	0.454692	−	0.106826i
$907$	38.7921	+	22.3966i	1.28807	+	0.743668i	0.978310	−	0.207146i	$-0.0664177\pi$
$907$	38.7921	+	22.3966i	1.28807	+	0.743668i	0.309761	+	0.950814i	$0.399751\pi$
$908$	−13.5475	+	7.82168i	−0.449591	+	0.259572i
$909$	3.04755	−	49.0222i	0.101081	−	1.62596i
$910$	11.7446	−	1.43710i	0.389328	−	0.0476393i
$911$			24.5437i			0.813168i	0.913613	+	0.406584i	$0.133280\pi$
$911$			24.5437i			0.813168i	−0.913613	+	0.406584i	$0.866720\pi$
$912$	5.74456	+	1.73205i	0.190221	+	0.0573539i
$913$	−3.05842	+	5.29734i	−0.101219	+	0.175316i
$914$	−11.0584	−	6.38458i	−0.365780	−	0.211183i
$915$	0.207890	+	10.9171i	0.00687263	+	0.360908i
$916$			13.8564i			0.457829i
$917$	−9.25544	−	8.01544i	−0.305641	−	0.264693i
$918$	−22.0000	−	26.5330i	−0.726108	−	0.875719i
$919$	9.11684	+	15.7908i	0.300737	+	0.520892i	0.976303	−	0.216408i	$-0.0694341\pi$
$919$	9.11684	+	15.7908i	0.300737	+	0.520892i	−0.675566	+	0.737299i	$0.736101\pi$
$920$	−9.55842	−	2.05446i	−0.315132	−	0.0677334i
$921$	−11.6060	+	2.72672i	−0.382430	+	0.0898484i
$922$	−0.255437	−	0.442430i	−0.00841238	−	0.0145707i
$923$			3.75906i			0.123731i
$924$	9.05842	−	17.2742i	0.298000	−	0.568280i
$925$	34.1168	+	47.4102i	1.12175	+	1.55884i
$926$	−31.6753	+	18.2877i	−1.04091	+	0.600972i
$927$	37.7921	+	25.0684i	1.24126	+	0.823356i
$928$	2.87228	+	1.65831i	0.0942873	+	0.0544368i
$929$	−8.44158	−	14.6212i	−0.276959	−	0.479707i	0.693668	−	0.720295i	$-0.255993\pi$
$929$	−8.44158	−	14.6212i	−0.276959	−	0.479707i	−0.970628	+	0.240587i	$0.922660\pi$
$930$	−8.05842	−	4.45015i	−0.264246	−	0.145926i
$931$	−9.00000	+	22.5167i	−0.294963	+	0.737954i
$932$	23.4891			0.769412
$933$	−7.11684	+	23.6039i	−0.232995	+	0.772757i
$934$	−0.0475473	−	0.0274514i	−0.00155579	−	0.000898238i
$935$	−61.7228	−	13.2665i	−2.01855	−	0.433861i
$936$	5.37228	−	2.67181i	0.175599	−	0.0873310i
$937$	−50.3505			−1.64488			−0.822440	−	0.568852i	$-0.807388\pi$
$937$	−50.3505			−1.64488			−0.822440	+	0.568852i	$0.807388\pi$
$938$	−6.55842	−	18.9325i	−0.214140	−	0.618169i
$939$	−16.7446	−	17.8178i	−0.546438	−	0.581463i
$940$	3.11684	+	2.81929i	0.101660	+	0.0919551i
$941$	12.1753	−	21.0882i	0.396902	−	0.687455i	−0.596440	−	0.802658i	$-0.703418\pi$
$941$	12.1753	−	21.0882i	0.396902	−	0.687455i	0.993342	+	0.115203i	$0.0367518\pi$
$942$	13.4891	−	3.16915i	0.439499	−	0.103256i
$943$	3.55842	+	6.16337i	0.115878	+	0.200707i
$944$	−4.11684			−0.133992
$945$	8.80298	+	29.4535i	0.286361	+	0.958122i
$946$	46.9783			1.52739
$947$	21.5584	+	37.3403i	0.700555	+	1.21340i	0.968272	+	0.249899i	$0.0803973\pi$
$947$	21.5584	+	37.3403i	0.700555	+	1.21340i	−0.267717	+	0.963497i	$0.586269\pi$
$948$	−13.6861	+	3.21543i	−0.444505	+	0.104432i
$949$	−2.00000	+	3.46410i	−0.0649227	+	0.112449i
$950$	−7.11684	+	15.7908i	−0.230901	+	0.512322i
$951$	19.1168	+	20.3422i	0.619906	+	0.659640i
$952$	−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	$0.216520\pi$
$954$	3.68614	−	1.83324i	0.119343	−	0.0593534i
$955$	1.76631	−	8.21782i	0.0571565	−	0.265923i
$956$	−2.48913	−	1.43710i	−0.0805041	−	0.0464790i
$957$	−7.05842	+	23.4101i	−0.228166	+	0.756742i
$958$	−8.74456			−0.282524
$959$	−1.37228	+	7.13058i	−0.0443133	+	0.230259i
$960$	1.87228	−	3.39036i	0.0604276	−	0.109424i
$961$	−12.6753	−	21.9542i	−0.408880	−	0.708200i
$962$	20.2337	+	11.6819i	0.652360	+	0.376640i
$963$	44.3614	+	29.4260i	1.42953	+	0.948241i
$964$	−9.17527	+	5.29734i	−0.295515	+	0.170616i
$965$	17.0584	−	5.49972i	0.549130	−	0.177042i
$966$	−0.813859	−	20.0198i	−0.0261855	−	0.644126i
$967$		−	51.9239i		−	1.66976i	−0.550433	−	0.834879i	$-0.685537\pi$
$967$		−	51.9239i		−	1.66976i	0.550433	−	0.834879i	$-0.314463\pi$
$968$	−3.55842	−	6.16337i	−0.114372	−	0.198098i
$969$	38.7446	−	9.10268i	1.24465	−	0.292420i
$970$	4.62772	+	0.994667i	0.148587	+	0.0319368i
$971$	−14.3139	−	24.7923i	−0.459354	−	0.795624i	0.539573	−	0.841939i	$-0.318586\pi$
$971$	−14.3139	−	24.7923i	−0.459354	−	0.795624i	−0.998927	+	0.0463149i	$0.985252\pi$
$972$	9.18614	+	12.5942i	0.294646	+	0.403960i
$973$	−10.1168	−	29.2048i	−0.324331	−	0.936263i
$974$		−	4.55134i		−	0.145834i
$975$	5.62772	+	16.3807i	0.180231	+	0.524604i
$976$	2.44158	+	1.40965i	0.0781530	+	0.0451217i
$977$	−20.2337	+	35.0458i	−0.647333	+	1.12121i	0.336424	+	0.941710i	$0.390782\pi$
$977$	−20.2337	+	35.0458i	−0.647333	+	1.12121i	−0.983757	+	0.179503i	$0.942551\pi$
$978$	5.74456	+	1.73205i	0.183691	+	0.0553849i
$979$			18.6101i			0.594782i
$980$	12.9891	+	8.73399i	0.414922	+	0.278997i
$981$	−1.69702	+	27.2978i	−0.0541815	+	0.871553i
$982$	−23.3139	+	13.4603i	−0.743975	+	0.429534i
$983$	18.8139	+	10.8622i	0.600069	+	0.346450i	0.769069	−	0.639166i	$-0.220720\pi$
$983$	18.8139	+	10.8622i	0.600069	+	0.346450i	−0.169000	+	0.985616i	$0.554054\pi$
$984$	−2.74456	+	0.644810i	−0.0874935	+	0.0205558i
$985$	30.3505	−	33.5538i	0.967048	−	1.06911i
$986$	22.0000			0.700623
$987$	−4.00000	+	7.62792i	−0.127321	+	0.242799i
$988$			6.92820i			0.220416i
$989$	41.7921	−	24.1287i	1.32891	−	0.767248i
$990$	27.4891	+	7.72049i	0.873662	+	0.245373i
$991$	14.1753	−	24.5523i	0.450292	−	0.779929i	−0.548112	−	0.836405i	$-0.684653\pi$
$991$	14.1753	−	24.5523i	0.450292	−	0.779929i	0.998404	+	0.0564762i	$0.0179865\pi$
$992$	−2.05842	+	1.18843i	−0.0653550	+	0.0377327i
$993$	−12.1386	−	12.9166i	−0.385207	−	0.409897i
$994$	−3.25544	+	3.75906i	−0.103256	+	0.119230i
$995$	−39.6060	+	12.7692i	−1.25559	+	0.404810i
$996$	−2.38316	−	0.718549i	−0.0755132	−	0.0227681i
$997$	15.2337	−	26.3855i	0.482456	−	0.835638i	−0.517341	−	0.855779i	$-0.673078\pi$
$997$	15.2337	−	26.3855i	0.482456	−	0.835638i	0.999797	+	0.0201413i	$0.00641159\pi$
$998$	14.1168	−	24.4511i	0.446861	−	0.773986i
$999$	−21.0951	+	56.9176i	−0.667419	+	1.80079i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
210.2.t.a.59.1	✓	4	3.2	odd	2
210.2.t.a.89.2	yes	4	35.19	odd	6
210.2.t.b.59.1	yes	4	5.4	even	2
210.2.t.b.89.1	yes	4	21.5	even	6
210.2.t.c.59.2	yes	4	1.1	even	1	trivial
210.2.t.c.89.2	yes	4	105.89	even	6	inner
210.2.t.d.59.2	yes	4	15.14	odd	2
210.2.t.d.89.1	yes	4	7.5	odd	6
1050.2.s.d.101.1		8	5.2	odd	4
1050.2.s.d.101.4		8	5.3	odd	4
1050.2.s.d.551.1		8	105.47	odd	12
1050.2.s.d.551.4		8	105.68	odd	12
1050.2.s.e.101.2		8	15.8	even	4
1050.2.s.e.101.3		8	15.2	even	4
1050.2.s.e.551.2		8	35.33	even	12
1050.2.s.e.551.3		8	35.12	even	12
1470.2.d.a.1469.3		4	105.74	odd	6
1470.2.d.a.1469.4		4	7.3	odd	6
1470.2.d.b.1469.1		4	7.4	even	3
1470.2.d.b.1469.2		4	105.59	even	6
1470.2.d.c.1469.3		4	21.17	even	6
1470.2.d.c.1469.4		4	35.4	even	6
1470.2.d.d.1469.1		4	35.24	odd	6
1470.2.d.d.1469.2		4	21.11	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)

\(f(q)\)	\(=\)	\(q+(0.500000 + 0.866025i) q^{2} +(1.68614 - 0.396143i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.50000 - 1.65831i) q^{5} +(1.18614 + 1.26217i) q^{6} +(-2.50000 + 0.866025i) q^{7} -1.00000 q^{8} +(2.68614 - 1.33591i) q^{9} +O(q^{10})\)	\(q+(0.500000 + 0.866025i) q^{2} +(1.68614 - 0.396143i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(1.50000 - 1.65831i) q^{5} +(1.18614 + 1.26217i) q^{6} +(-2.50000 + 0.866025i) q^{7} -1.00000 q^{8} +(2.68614 - 1.33591i) q^{9} +(2.18614 + 0.469882i) q^{10} +(3.68614 + 2.12819i) q^{11} +(-0.500000 + 1.65831i) q^{12} -2.00000 q^{13} +(-2.00000 - 1.73205i) q^{14} +(1.87228 - 3.39036i) 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} +(0.686141 + 2.12819i) q^{20} +(-3.87228 + 2.45060i) q^{21} +4.25639i q^{22} +(2.18614 + 3.78651i) q^{23} +(-1.68614 + 0.396143i) 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} +(3.87228 - 0.0737384i) q^{30} +(-2.05842 - 1.18843i) q^{31} +(0.500000 - 0.866025i) q^{32} +(7.05842 + 2.12819i) q^{33} -6.63325i q^{34} +(-2.31386 + 5.44482i) q^{35} +(-0.186141 + 2.99422i) q^{36} +(-10.1168 + 5.84096i) q^{37} +(-3.00000 - 1.73205i) q^{38} +(-3.37228 + 0.792287i) q^{39} +(-1.50000 + 1.65831i) q^{40} +1.62772 q^{41} +(-4.05842 - 2.12819i) q^{42} -11.0371i q^{43} +(-3.68614 + 2.12819i) q^{44} +(1.81386 - 6.45832i) q^{45} +(-2.18614 + 3.78651i) q^{46} +(1.62772 - 0.939764i) q^{47} +(-1.18614 - 1.26217i) q^{48} +(5.50000 - 4.33013i) q^{49} +(4.05842 - 2.92048i) q^{50} +(-11.0000 - 3.31662i) q^{51} +(1.00000 - 1.73205i) q^{52} +(0.686141 - 1.18843i) q^{53} +(4.87228 + 1.80579i) q^{54} +(9.05842 - 2.92048i) q^{55} +(2.50000 - 0.866025i) q^{56} +(-4.37228 + 4.10891i) q^{57} +(-2.87228 + 1.65831i) q^{58} +(2.05842 - 3.56529i) q^{59} +(2.00000 + 3.31662i) q^{60} +(-2.44158 + 1.40965i) q^{61} -2.37686i q^{62} +(-5.55842 + 5.66603i) q^{63} +1.00000 q^{64} +(-3.00000 + 3.31662i) q^{65} +(1.68614 + 7.17687i) q^{66} +(6.55842 + 3.78651i) q^{67} +(5.74456 - 3.31662i) q^{68} +(5.18614 + 5.51856i) q^{69} +(-5.87228 + 0.718549i) q^{70} -1.87953i q^{71} +(-2.68614 + 1.33591i) q^{72} +(1.00000 - 1.73205i) q^{73} +(-10.1168 - 5.84096i) q^{74} +(-2.81386 - 8.19037i) q^{75} -3.46410i q^{76} +(-11.0584 - 2.12819i) q^{77} +(-2.37228 - 2.52434i) q^{78} +(4.05842 + 7.02939i) q^{79} +(-2.18614 - 0.469882i) q^{80} +(5.43070 - 7.17687i) q^{81} +(0.813859 + 1.40965i) q^{82} +1.43710i q^{83} +(-0.186141 - 4.57879i) q^{84} +(-14.1168 + 4.55134i) q^{85} +(9.55842 - 5.51856i) q^{86} +(1.31386 + 5.59230i) q^{87} +(-3.68614 - 2.12819i) q^{88} +(2.18614 + 3.78651i) q^{89} +(6.50000 - 1.65831i) q^{90} +(5.00000 - 1.73205i) q^{91} -4.37228 q^{92} +(-3.94158 - 1.18843i) q^{93} +(1.62772 + 0.939764i) q^{94} +(-1.62772 + 7.57301i) q^{95} +(0.500000 - 1.65831i) q^{96} +2.11684 q^{97} +(6.50000 + 2.59808i) q^{98} +(12.7446 + 0.792287i) 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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