LMFDB - Embedded newform 360.2.br.c.293.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [360,2,Mod(77,360)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(360, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 6, 10, 3]))

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

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

chi := DirichletCharacter("360.77");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 360 = 2^{3} \cdot 3^{2} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	360.br (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.87461447277$
Analytic rank:	$0$
Dimension:	$4$
Coefficient field:	$\Q(\zeta_{12})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{4} - x^{2} + 1 $ x^4 - x^2 + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			293.1
Root			$0.866025 - 0.500000i$ of defining polynomial
Character	$\chi$	$=$	360.293
Dual form			360.2.br.c.317.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.366025 + 1.36603i) q^{2} +(-1.50000 - 0.866025i) q^{3} +(-1.73205 + 1.00000i) q^{4} +(-1.23205 - 1.86603i) q^{5} +(0.633975 - 2.36603i) q^{6} +(2.86603 + 0.767949i) q^{7} +(-2.00000 - 2.00000i) q^{8} +(1.50000 + 2.59808i) q^{9} +O(q^{10})$	\(q+(0.366025 + 1.36603i) q^{2} +(-1.50000 - 0.866025i) q^{3} +(-1.73205 + 1.00000i) q^{4} +(-1.23205 - 1.86603i) q^{5} +(0.633975 - 2.36603i) q^{6} +(2.86603 + 0.767949i) q^{7} +(-2.00000 - 2.00000i) q^{8} +(1.50000 + 2.59808i) q^{9} +(2.09808 - 2.36603i) q^{10} +(1.00000 + 1.73205i) q^{11} +3.46410 q^{12} +(1.73205 + 6.46410i) q^{13} +4.19615i q^{14} +(0.232051 + 3.86603i) q^{15} +(2.00000 - 3.46410i) q^{16} +(3.00000 + 3.00000i) q^{17} +(-3.00000 + 3.00000i) q^{18} -1.26795 q^{19} +(4.00000 + 2.00000i) q^{20} +(-3.63397 - 3.63397i) q^{21} +(-2.00000 + 2.00000i) q^{22} +(-0.866025 - 3.23205i) q^{23} +(1.26795 + 4.73205i) q^{24} +(-1.96410 + 4.59808i) q^{25} +(-8.19615 + 4.73205i) q^{26} -5.19615i q^{27} +(-5.73205 + 1.53590i) q^{28} +(6.23205 - 3.59808i) q^{29} +(-5.19615 + 1.73205i) q^{30} +(-1.09808 + 1.90192i) q^{31} +(5.46410 + 1.46410i) q^{32} -3.46410i q^{33} +(-3.00000 + 5.19615i) q^{34} +(-2.09808 - 6.29423i) q^{35} +(-5.19615 - 3.00000i) q^{36} +(6.46410 + 6.46410i) q^{37} +(-0.464102 - 1.73205i) q^{38} +(3.00000 - 11.1962i) q^{39} +(-1.26795 + 6.19615i) q^{40} +(-0.401924 - 0.232051i) q^{41} +(3.63397 - 6.29423i) q^{42} +(0.633975 + 0.169873i) q^{43} +(-3.46410 - 2.00000i) q^{44} +(3.00000 - 6.00000i) q^{45} +(4.09808 - 2.36603i) q^{46} +(-1.50000 + 5.59808i) q^{47} +(-6.00000 + 3.46410i) q^{48} +(1.56218 + 0.901924i) q^{49} +(-7.00000 - 1.00000i) q^{50} +(-1.90192 - 7.09808i) q^{51} +(-9.46410 - 9.46410i) q^{52} +(5.19615 + 5.19615i) q^{53} +(7.09808 - 1.90192i) q^{54} +(2.00000 - 4.00000i) q^{55} +(-4.19615 - 7.26795i) q^{56} +(1.90192 + 1.09808i) q^{57} +(7.19615 + 7.19615i) q^{58} +(-10.5622 - 6.09808i) q^{59} +(-4.26795 - 6.46410i) q^{60} +(2.30385 - 1.33013i) q^{61} +(-3.00000 - 0.803848i) q^{62} +(2.30385 + 8.59808i) q^{63} +8.00000i q^{64} +(9.92820 - 11.1962i) q^{65} +(4.73205 - 1.26795i) q^{66} +(-4.96410 + 1.33013i) q^{67} +(-8.19615 - 2.19615i) q^{68} +(-1.50000 + 5.59808i) q^{69} +(7.83013 - 5.16987i) q^{70} -12.0000i q^{71} +(2.19615 - 8.19615i) q^{72} +(0.196152 + 0.196152i) q^{73} +(-6.46410 + 11.1962i) q^{74} +(6.92820 - 5.19615i) q^{75} +(2.19615 - 1.26795i) q^{76} +(1.53590 + 5.73205i) q^{77} +16.3923 q^{78} +(7.09808 - 4.09808i) q^{79} +(-8.92820 + 0.535898i) q^{80} +(-4.50000 + 7.79423i) q^{81} +(0.169873 - 0.633975i) q^{82} +(-2.66987 + 9.96410i) q^{83} +(9.92820 + 2.66025i) q^{84} +(1.90192 - 9.29423i) q^{85} +0.928203i q^{86} -12.4641 q^{87} +(1.46410 - 5.46410i) q^{88} -14.6603 q^{89} +(9.29423 + 1.90192i) q^{90} +19.8564i q^{91} +(4.73205 + 4.73205i) q^{92} +(3.29423 - 1.90192i) q^{93} -8.19615 q^{94} +(1.56218 + 2.36603i) q^{95} +(-6.92820 - 6.92820i) q^{96} +(-6.83013 - 1.83013i) q^{97} +(-0.660254 + 2.46410i) q^{98} +(-3.00000 + 5.19615i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 4 q - 2 q^{2} - 6 q^{3} + 2 q^{5} + 6 q^{6} + 8 q^{7} - 8 q^{8} + 6 q^{9}+O(q^{10}) $ 4 * q - 2 * q^2 - 6 * q^3 + 2 * q^5 + 6 * q^6 + 8 * q^7 - 8 * q^8 + 6 * q^9	$ 4 q - 2 q^{2} - 6 q^{3} + 2 q^{5} + 6 q^{6} + 8 q^{7} - 8 q^{8} + 6 q^{9} - 2 q^{10} + 4 q^{11} - 6 q^{15} + 8 q^{16} + 12 q^{17} - 12 q^{18} - 12 q^{19} + 16 q^{20} - 18 q^{21} - 8 q^{22} + 12 q^{24} + 6 q^{25} - 12 q^{26} - 16 q^{28} + 18 q^{29} + 6 q^{31} + 8 q^{32} - 12 q^{34} + 2 q^{35} + 12 q^{37} + 12 q^{38} + 12 q^{39} - 12 q^{40} - 12 q^{41} + 18 q^{42} + 6 q^{43} + 12 q^{45} + 6 q^{46} - 6 q^{47} - 24 q^{48} - 18 q^{49} - 28 q^{50} - 18 q^{51} - 24 q^{52} + 18 q^{54} + 8 q^{55} + 4 q^{56} + 18 q^{57} + 8 q^{58} - 18 q^{59} - 24 q^{60} + 30 q^{61} - 12 q^{62} + 30 q^{63} + 12 q^{65} + 12 q^{66} - 6 q^{67} - 12 q^{68} - 6 q^{69} + 14 q^{70} - 12 q^{72} - 20 q^{73} - 12 q^{74} - 12 q^{76} + 20 q^{77} + 24 q^{78} + 18 q^{79} - 8 q^{80} - 18 q^{81} + 18 q^{82} - 28 q^{83} + 12 q^{84} + 18 q^{85} - 36 q^{87} - 8 q^{88} - 24 q^{89} + 6 q^{90} + 12 q^{92} - 18 q^{93} - 12 q^{94} - 18 q^{95} - 10 q^{97} + 32 q^{98} - 12 q^{99}+O(q^{100}) $ 4 * q - 2 * q^2 - 6 * q^3 + 2 * q^5 + 6 * q^6 + 8 * q^7 - 8 * q^8 + 6 * q^9 - 2 * q^10 + 4 * q^11 - 6 * q^15 + 8 * q^16 + 12 * q^17 - 12 * q^18 - 12 * q^19 + 16 * q^20 - 18 * q^21 - 8 * q^22 + 12 * q^24 + 6 * q^25 - 12 * q^26 - 16 * q^28 + 18 * q^29 + 6 * q^31 + 8 * q^32 - 12 * q^34 + 2 * q^35 + 12 * q^37 + 12 * q^38 + 12 * q^39 - 12 * q^40 - 12 * q^41 + 18 * q^42 + 6 * q^43 + 12 * q^45 + 6 * q^46 - 6 * q^47 - 24 * q^48 - 18 * q^49 - 28 * q^50 - 18 * q^51 - 24 * q^52 + 18 * q^54 + 8 * q^55 + 4 * q^56 + 18 * q^57 + 8 * q^58 - 18 * q^59 - 24 * q^60 + 30 * q^61 - 12 * q^62 + 30 * q^63 + 12 * q^65 + 12 * q^66 - 6 * q^67 - 12 * q^68 - 6 * q^69 + 14 * q^70 - 12 * q^72 - 20 * q^73 - 12 * q^74 - 12 * q^76 + 20 * q^77 + 24 * q^78 + 18 * q^79 - 8 * q^80 - 18 * q^81 + 18 * q^82 - 28 * q^83 + 12 * q^84 + 18 * q^85 - 36 * q^87 - 8 * q^88 - 24 * q^89 + 6 * q^90 + 12 * q^92 - 18 * q^93 - 12 * q^94 - 18 * q^95 - 10 * q^97 + 32 * q^98 - 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/360\mathbb{Z}\right)^\times$.

$n$	$181$	$217$	$271$	$281$
$\chi(n)$	$-1$	$e\left(\frac{3}{4}\right)$	$1$	$e\left(\frac{5}{6}\right)$

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 $

$2$	0.366025	+	1.36603i	0.258819	+	0.965926i
$2$	0.366025	+	1.36603i	0.258819	+	0.965926i
$3$	−1.50000	−	0.866025i	−0.866025	−	0.500000i
$3$	−1.50000	−	0.866025i	−0.866025	−	0.500000i
$4$	−1.73205	+	1.00000i	−0.866025	+	0.500000i
$5$	−1.23205	−	1.86603i	−0.550990	−	0.834512i
$5$	−1.23205	−	1.86603i	−0.550990	−	0.834512i
$6$	0.633975	−	2.36603i	0.258819	−	0.965926i
$7$	2.86603	+	0.767949i	1.08326	+	0.290258i	0.755929	−	0.654654i	$-0.227186\pi$
$7$	2.86603	+	0.767949i	1.08326	+	0.290258i	0.327327	+	0.944911i	$0.393852\pi$
$8$	−2.00000	−	2.00000i	−0.707107	−	0.707107i
$9$	1.50000	+	2.59808i	0.500000	+	0.866025i
$10$	2.09808	−	2.36603i	0.663470	−	0.748203i
$11$	1.00000	+	1.73205i	0.301511	+	0.522233i	0.976478	−	0.215615i	$-0.0691756\pi$
$11$	1.00000	+	1.73205i	0.301511	+	0.522233i	−0.674967	+	0.737848i	$0.735842\pi$
$12$	3.46410			1.00000
$13$	1.73205	+	6.46410i	0.480384	+	1.79282i	0.600001	+	0.799999i	$0.295167\pi$
$13$	1.73205	+	6.46410i	0.480384	+	1.79282i	−0.119617	+	0.992820i	$0.538167\pi$
$14$			4.19615i			1.12147i
$15$	0.232051	+	3.86603i	0.0599153	+	0.998203i
$16$	2.00000	−	3.46410i	0.500000	−	0.866025i
$17$	3.00000	+	3.00000i	0.727607	+	0.727607i	0.970143	−	0.242536i	$-0.0779791\pi$
$17$	3.00000	+	3.00000i	0.727607	+	0.727607i	−0.242536	+	0.970143i	$0.577979\pi$
$18$	−3.00000	+	3.00000i	−0.707107	+	0.707107i
$19$	−1.26795			−0.290887			−0.145444	−	0.989367i	$-0.546461\pi$
$19$	−1.26795			−0.290887			−0.145444	+	0.989367i	$0.546461\pi$
$20$	4.00000	+	2.00000i	0.894427	+	0.447214i
$21$	−3.63397	−	3.63397i	−0.792998	−	0.792998i
$22$	−2.00000	+	2.00000i	−0.426401	+	0.426401i
$23$	−0.866025	−	3.23205i	−0.180579	−	0.673929i	−0.995534	−	0.0944051i	$-0.969905\pi$
$23$	−0.866025	−	3.23205i	−0.180579	−	0.673929i	0.814955	−	0.579524i	$-0.196762\pi$
$24$	1.26795	+	4.73205i	0.258819	+	0.965926i
$25$	−1.96410	+	4.59808i	−0.392820	+	0.919615i
$26$	−8.19615	+	4.73205i	−1.60740	+	0.928032i
$27$		−	5.19615i		−	1.00000i
$28$	−5.73205	+	1.53590i	−1.08326	+	0.290258i
$29$	6.23205	−	3.59808i	1.15726	−	0.668146i	0.206616	−	0.978422i	$-0.433755\pi$
$29$	6.23205	−	3.59808i	1.15726	−	0.668146i	0.950646	+	0.310276i	$0.100421\pi$
$30$	−5.19615	+	1.73205i	−0.948683	+	0.316228i
$31$	−1.09808	+	1.90192i	−0.197220	+	0.341596i	−0.947626	−	0.319382i	$-0.896525\pi$
$31$	−1.09808	+	1.90192i	−0.197220	+	0.341596i	0.750406	+	0.660977i	$0.229858\pi$
$32$	5.46410	+	1.46410i	0.965926	+	0.258819i
$33$		−	3.46410i		−	0.603023i
$34$	−3.00000	+	5.19615i	−0.514496	+	0.891133i
$35$	−2.09808	−	6.29423i	−0.354640	−	1.06392i
$36$	−5.19615	−	3.00000i	−0.866025	−	0.500000i
$37$	6.46410	+	6.46410i	1.06269	+	1.06269i	0.997899	+	0.0647930i	$0.0206387\pi$
$37$	6.46410	+	6.46410i	1.06269	+	1.06269i	0.0647930	+	0.997899i	$0.479361\pi$
$38$	−0.464102	−	1.73205i	−0.0752872	−	0.280976i
$39$	3.00000	−	11.1962i	0.480384	−	1.79282i
$40$	−1.26795	+	6.19615i	−0.200480	+	0.979698i
$41$	−0.401924	−	0.232051i	−0.0627700	−	0.0362402i	0.468287	−	0.883577i	$-0.344871\pi$
$41$	−0.401924	−	0.232051i	−0.0627700	−	0.0362402i	−0.531057	+	0.847336i	$0.678205\pi$
$42$	3.63397	−	6.29423i	0.560734	−	0.971221i
$43$	0.633975	+	0.169873i	0.0966802	+	0.0259054i	0.306835	−	0.951763i	$-0.400730\pi$
$43$	0.633975	+	0.169873i	0.0966802	+	0.0259054i	−0.210155	+	0.977668i	$0.567397\pi$
$44$	−3.46410	−	2.00000i	−0.522233	−	0.301511i
$45$	3.00000	−	6.00000i	0.447214	−	0.894427i
$46$	4.09808	−	2.36603i	0.604228	−	0.348851i
$47$	−1.50000	+	5.59808i	−0.218797	+	0.816563i	0.765998	+	0.642843i	$0.222245\pi$
$47$	−1.50000	+	5.59808i	−0.218797	+	0.816563i	−0.984795	+	0.173720i	$0.944421\pi$
$48$	−6.00000	+	3.46410i	−0.866025	+	0.500000i
$49$	1.56218	+	0.901924i	0.223168	+	0.128846i
$50$	−7.00000	−	1.00000i	−0.989949	−	0.141421i
$51$	−1.90192	−	7.09808i	−0.266323	−	0.993929i
$52$	−9.46410	−	9.46410i	−1.31243	−	1.31243i
$53$	5.19615	+	5.19615i	0.713746	+	0.713746i	0.967317	−	0.253570i	$-0.0816050\pi$
$53$	5.19615	+	5.19615i	0.713746	+	0.713746i	−0.253570	+	0.967317i	$0.581605\pi$
$54$	7.09808	−	1.90192i	0.965926	−	0.258819i
$55$	2.00000	−	4.00000i	0.269680	−	0.539360i
$56$	−4.19615	−	7.26795i	−0.560734	−	0.971221i
$57$	1.90192	+	1.09808i	0.251916	+	0.145444i
$58$	7.19615	+	7.19615i	0.944901	+	0.944901i
$59$	−10.5622	−	6.09808i	−1.37508	−	0.793902i	−0.383516	−	0.923534i	$-0.625287\pi$
$59$	−10.5622	−	6.09808i	−1.37508	−	0.793902i	−0.991562	+	0.129632i	$0.958620\pi$
$60$	−4.26795	−	6.46410i	−0.550990	−	0.834512i
$61$	2.30385	−	1.33013i	0.294977	−	0.170305i	−0.345207	−	0.938527i	$-0.612191\pi$
$61$	2.30385	−	1.33013i	0.294977	−	0.170305i	0.640184	+	0.768221i	$0.278858\pi$
$62$	−3.00000	−	0.803848i	−0.381000	−	0.102089i
$63$	2.30385	+	8.59808i	0.290258	+	1.08326i
$64$			8.00000i			1.00000i
$65$	9.92820	−	11.1962i	1.23144	−	1.38871i
$66$	4.73205	−	1.26795i	0.582475	−	0.156074i
$67$	−4.96410	+	1.33013i	−0.606462	+	0.162501i	−0.548966	−	0.835845i	$-0.684978\pi$
$67$	−4.96410	+	1.33013i	−0.606462	+	0.162501i	−0.0574958	+	0.998346i	$0.518312\pi$
$68$	−8.19615	−	2.19615i	−0.993929	−	0.266323i
$69$	−1.50000	+	5.59808i	−0.180579	+	0.673929i
$70$	7.83013	−	5.16987i	0.935879	−	0.617918i
$71$		−	12.0000i		−	1.42414i	−0.702109	−	0.712069i	$-0.747758\pi$
$71$		−	12.0000i		−	1.42414i	0.702109	−	0.712069i	$-0.252242\pi$
$72$	2.19615	−	8.19615i	0.258819	−	0.965926i
$73$	0.196152	+	0.196152i	0.0229579	+	0.0229579i	0.718493	−	0.695535i	$-0.244832\pi$
$73$	0.196152	+	0.196152i	0.0229579	+	0.0229579i	−0.695535	+	0.718493i	$0.744832\pi$
$74$	−6.46410	+	11.1962i	−0.751437	+	1.30153i
$75$	6.92820	−	5.19615i	0.800000	−	0.600000i
$76$	2.19615	−	1.26795i	0.251916	−	0.145444i
$77$	1.53590	+	5.73205i	0.175032	+	0.653228i
$78$	16.3923			1.85606
$79$	7.09808	−	4.09808i	0.798596	−	0.461070i	−0.0443840	−	0.999015i	$-0.514133\pi$
$79$	7.09808	−	4.09808i	0.798596	−	0.461070i	0.842980	+	0.537945i	$0.180799\pi$
$80$	−8.92820	+	0.535898i	−0.998203	+	0.0599153i
$81$	−4.50000	+	7.79423i	−0.500000	+	0.866025i
$82$	0.169873	−	0.633975i	0.0187593	−	0.0700108i
$83$	−2.66987	+	9.96410i	−0.293057	+	1.09370i	0.649692	+	0.760198i	$0.274898\pi$
$83$	−2.66987	+	9.96410i	−0.293057	+	1.09370i	−0.942748	+	0.333505i	$0.891769\pi$
$84$	9.92820	+	2.66025i	1.08326	+	0.290258i
$85$	1.90192	−	9.29423i	0.206293	−	1.00810i
$86$			0.928203i			0.100091i
$87$	−12.4641			−1.33629
$88$	1.46410	−	5.46410i	0.156074	−	0.582475i
$89$	−14.6603			−1.55398			−0.776992	−	0.629511i	$-0.783255\pi$
$89$	−14.6603			−1.55398			−0.776992	+	0.629511i	$0.783255\pi$
$90$	9.29423	+	1.90192i	0.979698	+	0.200480i
$91$			19.8564i			2.08152i
$92$	4.73205	+	4.73205i	0.493350	+	0.493350i
$93$	3.29423	−	1.90192i	0.341596	−	0.197220i
$94$	−8.19615			−0.845369
$95$	1.56218	+	2.36603i	0.160276	+	0.242749i
$96$	−6.92820	−	6.92820i	−0.707107	−	0.707107i
$97$	−6.83013	−	1.83013i	−0.693494	−	0.185821i	−0.105180	−	0.994453i	$-0.533542\pi$
$97$	−6.83013	−	1.83013i	−0.693494	−	0.185821i	−0.588315	+	0.808632i	$0.700208\pi$
$98$	−0.660254	+	2.46410i	−0.0666957	+	0.248912i
$99$	−3.00000	+	5.19615i	−0.301511	+	0.522233i
$100$	−1.19615	−	9.92820i	−0.119615	−	0.992820i
$101$	−1.00000	−	1.73205i	−0.0995037	−	0.172345i	0.811976	−	0.583691i	$-0.198392\pi$
$101$	−1.00000	−	1.73205i	−0.0995037	−	0.172345i	−0.911479	+	0.411346i	$0.865059\pi$
$102$	9.00000	−	5.19615i	0.891133	−	0.514496i
$103$	12.8301	−	3.43782i	1.26419	−	0.338739i	0.436388	−	0.899759i	$-0.356258\pi$
$103$	12.8301	−	3.43782i	1.26419	−	0.338739i	0.827802	+	0.561020i	$0.189591\pi$
$104$	9.46410	−	16.3923i	0.928032	−	1.60740i
$105$	−2.30385	+	11.2583i	−0.224833	+	1.09870i
$106$	−5.19615	+	9.00000i	−0.504695	+	0.874157i
$107$	−0.901924	+	0.901924i	−0.0871923	+	0.0871923i	−0.749358	−	0.662165i	$-0.769638\pi$
$107$	−0.901924	+	0.901924i	−0.0871923	+	0.0871923i	0.662165	+	0.749358i	$0.269638\pi$
$108$	5.19615	+	9.00000i	0.500000	+	0.866025i
$109$	−8.66025			−0.829502			−0.414751	−	0.909935i	$-0.636131\pi$
$109$	−8.66025			−0.829502			−0.414751	+	0.909935i	$0.636131\pi$
$110$	6.19615	+	1.26795i	0.590780	+	0.120894i
$111$	−4.09808	−	15.2942i	−0.388972	−	1.45166i
$112$	8.39230	−	8.39230i	0.792998	−	0.792998i
$113$	−1.73205	−	6.46410i	−0.162938	−	0.608092i	−0.998294	−	0.0583831i	$-0.981405\pi$
$113$	−1.73205	−	6.46410i	−0.162938	−	0.608092i	0.835357	−	0.549708i	$-0.185261\pi$
$114$	−0.803848	+	3.00000i	−0.0752872	+	0.280976i
$115$	−4.96410	+	5.59808i	−0.462905	+	0.522023i
$116$	−7.19615	+	12.4641i	−0.668146	+	1.15726i
$117$	−14.1962	+	14.1962i	−1.31243	+	1.31243i
$118$	4.46410	−	16.6603i	0.410954	−	1.53370i
$119$	6.29423	+	10.9019i	0.576991	+	0.999378i
$120$	7.26795	−	8.19615i	0.663470	−	0.748203i
$121$	3.50000	−	6.06218i	0.318182	−	0.551107i
$122$	2.66025	+	2.66025i	0.240848	+	0.240848i
$123$	0.401924	+	0.696152i	0.0362402	+	0.0627700i
$124$		−	4.39230i		−	0.394441i
$125$	11.0000	−	2.00000i	0.983870	−	0.178885i
$126$	−10.9019	+	6.29423i	−0.971221	+	0.560734i
$127$	11.0981	−	11.0981i	0.984795	−	0.984795i	−0.0150911	−	0.999886i	$-0.504804\pi$
$127$	11.0981	−	11.0981i	0.984795	−	0.984795i	0.999886	+	0.0150911i	$0.00480383\pi$
$128$	−10.9282	+	2.92820i	−0.965926	+	0.258819i
$129$	−0.803848	−	0.803848i	−0.0707748	−	0.0707748i
$130$	18.9282	+	9.46410i	1.66011	+	0.830057i
$131$	9.09808	−	15.7583i	0.794903	−	1.37681i	−0.127998	−	0.991774i	$-0.540855\pi$
$131$	9.09808	−	15.7583i	0.794903	−	1.37681i	0.922901	−	0.385037i	$-0.125811\pi$
$132$	3.46410	+	6.00000i	0.301511	+	0.522233i
$133$	−3.63397	−	0.973721i	−0.315106	−	0.0844323i
$134$	−3.63397	−	6.29423i	−0.313928	−	0.543739i
$135$	−9.69615	+	6.40192i	−0.834512	+	0.550990i
$136$		−	12.0000i		−	1.02899i
$137$	−0.928203	+	3.46410i	−0.0793018	+	0.295958i	−0.994174	−	0.107785i	$-0.965624\pi$
$137$	−0.928203	+	3.46410i	−0.0793018	+	0.295958i	0.914873	+	0.403743i	$0.132291\pi$
$138$	−8.19615			−0.697703
$139$	3.46410	−	6.00000i	0.293821	−	0.508913i	−0.680889	−	0.732387i	$-0.738406\pi$
$139$	3.46410	−	6.00000i	0.293821	−	0.508913i	0.974710	+	0.223474i	$0.0717396\pi$
$140$	9.92820	+	8.80385i	0.839086	+	0.744061i
$141$	7.09808	−	7.09808i	0.597766	−	0.597766i
$142$	16.3923	−	4.39230i	1.37561	−	0.368594i
$143$	−9.46410	+	9.46410i	−0.791428	+	0.791428i
$144$	12.0000			1.00000
$145$	−14.3923	−	7.19615i	−1.19522	−	0.597608i
$146$	−0.196152	+	0.339746i	−0.0162337	+	0.0281176i
$147$	−1.56218	−	2.70577i	−0.128846	−	0.223168i
$148$	−17.6603	−	4.73205i	−1.45166	−	0.388972i
$149$	6.06218	+	3.50000i	0.496633	+	0.286731i	0.727322	−	0.686296i	$-0.240765\pi$
$149$	6.06218	+	3.50000i	0.496633	+	0.286731i	−0.230689	+	0.973028i	$0.574098\pi$
$150$	9.63397	+	7.56218i	0.786611	+	0.617449i
$151$	8.00000	+	13.8564i	0.651031	+	1.12762i	0.982873	+	0.184284i	$0.0589965\pi$
$151$	8.00000	+	13.8564i	0.651031	+	1.12762i	−0.331842	+	0.943335i	$0.607670\pi$
$152$	2.53590	+	2.53590i	0.205689	+	0.205689i
$153$	−3.29423	+	12.2942i	−0.266323	+	0.993929i
$154$	−7.26795	+	4.19615i	−0.585668	+	0.338136i
$155$	4.90192	−	0.294229i	0.393732	−	0.0236330i
$156$	6.00000	+	22.3923i	0.480384	+	1.79282i
$157$	−12.2942	+	3.29423i	−0.981186	+	0.262908i	−0.713544	−	0.700610i	$-0.752911\pi$
$157$	−12.2942	+	3.29423i	−0.981186	+	0.262908i	−0.267642	+	0.963518i	$0.586244\pi$
$158$	8.19615	+	8.19615i	0.652051	+	0.652051i
$159$	−3.29423	−	12.2942i	−0.261249	−	0.974996i
$160$	−4.00000	−	12.0000i	−0.316228	−	0.948683i
$161$		−	9.92820i		−	0.782452i
$162$	−12.2942	−	3.29423i	−0.965926	−	0.258819i
$163$	−0.464102	+	0.464102i	−0.0363512	+	0.0363512i	−0.725049	−	0.688698i	$-0.758183\pi$
$163$	−0.464102	+	0.464102i	−0.0363512	+	0.0363512i	0.688698	+	0.725049i	$0.258183\pi$
$164$	0.928203			0.0724805
$165$	−6.46410	+	4.26795i	−0.503230	+	0.332259i
$166$	−14.5885			−1.13228
$167$	−10.7942	+	2.89230i	−0.835282	+	0.223813i	−0.651017	−	0.759063i	$-0.725657\pi$
$167$	−10.7942	+	2.89230i	−0.835282	+	0.223813i	−0.184266	+	0.982876i	$0.558991\pi$
$168$			14.5359i			1.12147i
$169$	−27.5263	+	15.8923i	−2.11741	+	1.22248i
$170$	13.3923	−	0.803848i	1.02714	−	0.0616523i
$171$	−1.90192	−	3.29423i	−0.145444	−	0.251916i
$172$	−1.26795	+	0.339746i	−0.0966802	+	0.0259054i
$173$	−0.732051	+	2.73205i	−0.0556568	+	0.207714i	−0.988155	−	0.153462i	$-0.950958\pi$
$173$	−0.732051	+	2.73205i	−0.0556568	+	0.207714i	0.932498	+	0.361176i	$0.117625\pi$
$174$	−4.56218	−	17.0263i	−0.345858	−	1.29076i
$175$	−9.16025	+	11.6699i	−0.692450	+	0.882159i
$176$	8.00000			0.603023
$177$	10.5622	+	18.2942i	0.793902	+	1.37508i
$178$	−5.36603	−	20.0263i	−0.402201	−	1.50103i
$179$			14.3923i			1.07573i	0.843031	+	0.537866i	$0.180769\pi$
$179$			14.3923i			1.07573i	−0.843031	+	0.537866i	$0.819231\pi$
$180$	0.803848	+	13.3923i	0.0599153	+	0.998203i
$181$		−	3.00000i		−	0.222988i	−0.993765	−	0.111494i	$-0.964436\pi$
$181$		−	3.00000i		−	0.222988i	0.993765	−	0.111494i	$-0.0355636\pi$
$182$	−27.1244	+	7.26795i	−2.01059	+	0.538736i
$183$	−4.60770			−0.340611
$184$	−4.73205	+	8.19615i	−0.348851	+	0.604228i
$185$	4.09808	−	20.0263i	0.301297	−	1.47236i
$186$	3.80385	+	3.80385i	0.278912	+	0.278912i
$187$	−2.19615	+	8.19615i	−0.160599	+	0.599362i
$188$	−3.00000	−	11.1962i	−0.218797	−	0.816563i
$189$	3.99038	−	14.8923i	0.290258	−	1.08326i
$190$	−2.66025	+	3.00000i	−0.192995	+	0.217643i
$191$	−10.9019	+	6.29423i	−0.788836	+	0.455434i	−0.839552	−	0.543279i	$-0.817183\pi$
$191$	−10.9019	+	6.29423i	−0.788836	+	0.455434i	0.0507169	+	0.998713i	$0.483849\pi$
$192$	6.92820	−	12.0000i	0.500000	−	0.866025i
$193$	13.6603	−	3.66025i	0.983287	−	0.263471i	0.268858	−	0.963180i	$-0.413354\pi$
$193$	13.6603	−	3.66025i	0.983287	−	0.263471i	0.714428	+	0.699709i	$0.246687\pi$
$194$		−	10.0000i		−	0.717958i
$195$	−24.5885	+	8.19615i	−1.76082	+	0.586939i
$196$	−3.60770			−0.257693
$197$	12.0000	−	12.0000i	0.854965	−	0.854965i	−0.135775	−	0.990740i	$-0.543352\pi$
$197$	12.0000	−	12.0000i	0.854965	−	0.854965i	0.990740	+	0.135775i	$0.0433525\pi$
$198$	−8.19615	−	2.19615i	−0.582475	−	0.156074i
$199$			6.19615i			0.439234i	0.975586	+	0.219617i	$0.0704807\pi$
$199$			6.19615i			0.439234i	−0.975586	+	0.219617i	$0.929519\pi$
$200$	13.1244	−	5.26795i	0.928032	−	0.372500i
$201$	8.59808	+	2.30385i	0.606462	+	0.162501i
$202$	2.00000	−	2.00000i	0.140720	−	0.140720i
$203$	20.6244	−	5.52628i	1.44755	−	0.387869i
$204$	10.3923	+	10.3923i	0.727607	+	0.727607i
$205$	0.0621778	+	1.03590i	0.00434269	+	0.0723503i
$206$	9.39230	+	16.2679i	0.654393	+	1.13344i
$207$	7.09808	−	7.09808i	0.493350	−	0.493350i
$208$	25.8564	+	6.92820i	1.79282	+	0.480384i
$209$	−1.26795	−	2.19615i	−0.0877059	−	0.151911i
$210$	−16.2224	+	0.973721i	−1.11945	+	0.0671931i
$211$		0			0		0.500000	−	0.866025i	$-0.333333\pi$
$211$		0			0		−0.500000	+	0.866025i	$0.666667\pi$
$212$	−14.1962	−	3.80385i	−0.974996	−	0.261249i
$213$	−10.3923	+	18.0000i	−0.712069	+	1.23334i
$214$	−1.56218	−	0.901924i	−0.106788	−	0.0616542i
$215$	−0.464102	−	1.39230i	−0.0316515	−	0.0949544i
$216$	−10.3923	+	10.3923i	−0.707107	+	0.707107i
$217$	−4.60770	+	4.60770i	−0.312791	+	0.312791i
$218$	−3.16987	−	11.8301i	−0.214691	−	0.801237i
$219$	−0.124356	−	0.464102i	−0.00840318	−	0.0313611i
$220$	0.535898	+	8.92820i	0.0361303	+	0.601939i
$221$	−14.1962	+	24.5885i	−0.954937	+	1.65400i
$222$	19.3923	−	11.1962i	1.30153	−	0.751437i
$223$	2.52628	−	9.42820i	0.169172	−	0.631359i	−0.828299	−	0.560286i	$-0.810691\pi$
$223$	2.52628	−	9.42820i	0.169172	−	0.631359i	0.997471	−	0.0710728i	$-0.0226423\pi$
$224$	14.5359	+	8.39230i	0.971221	+	0.560734i
$225$	−14.8923	+	1.79423i	−0.992820	+	0.119615i
$226$	8.19615	−	4.73205i	0.545200	−	0.314771i
$227$	−18.2942	−	4.90192i	−1.21423	−	0.325352i	−0.405810	−	0.913957i	$-0.633011\pi$
$227$	−18.2942	−	4.90192i	−1.21423	−	0.325352i	−0.808421	+	0.588605i	$0.799677\pi$
$228$	−4.39230			−0.290887
$229$	9.23205	−	15.9904i	0.610071	−	1.05667i	−0.381157	−	0.924510i	$-0.624474\pi$
$229$	9.23205	−	15.9904i	0.610071	−	1.05667i	0.991228	−	0.132164i	$-0.0421925\pi$
$230$	−9.46410	−	4.73205i	−0.624044	−	0.312022i
$231$	2.66025	−	9.92820i	0.175032	−	0.653228i
$232$	−19.6603	−	5.26795i	−1.29076	−	0.345858i
$233$	−6.12436	+	6.12436i	−0.401220	+	0.401220i	−0.878663	−	0.477443i	$-0.841564\pi$
$233$	−6.12436	+	6.12436i	−0.401220	+	0.401220i	0.477443	+	0.878663i	$0.341564\pi$
$234$	−24.5885	−	14.1962i	−1.60740	−	0.928032i
$235$	12.2942	−	4.09808i	0.801987	−	0.267329i
$236$	24.3923			1.58780
$237$	−14.1962			−0.922139
$238$	−12.5885	+	12.5885i	−0.815988	+	0.815988i
$239$	−2.53590	+	4.39230i	−0.164034	+	0.284115i	−0.936312	−	0.351170i	$-0.885784\pi$
$239$	−2.53590	+	4.39230i	−0.164034	+	0.284115i	0.772278	+	0.635285i	$0.219117\pi$
$240$	13.8564	+	6.92820i	0.894427	+	0.447214i
$241$	14.5981	+	25.2846i	0.940345	+	1.62872i	0.764814	+	0.644251i	$0.222831\pi$
$241$	14.5981	+	25.2846i	0.940345	+	1.62872i	0.175531	+	0.984474i	$0.443836\pi$
$242$	9.56218	+	2.56218i	0.614680	+	0.164703i
$243$	13.5000	−	7.79423i	0.866025	−	0.500000i
$244$	−2.66025	+	4.60770i	−0.170305	+	0.294977i
$245$	−0.241670	−	4.02628i	−0.0154397	−	0.257230i
$246$	−0.803848	+	0.803848i	−0.0512514	+	0.0512514i
$247$	−2.19615	−	8.19615i	−0.139738	−	0.521509i
$248$	6.00000	−	1.60770i	0.381000	−	0.102089i
$249$	12.6340	−	12.6340i	0.800646	−	0.800646i
$250$	6.75833	+	14.2942i	0.427434	+	0.904046i
$251$	4.58846			0.289621			0.144810	−	0.989459i	$-0.453743\pi$
$251$	4.58846			0.289621			0.144810	+	0.989459i	$0.453743\pi$
$252$	−12.5885	−	12.5885i	−0.792998	−	0.792998i
$253$	4.73205	−	4.73205i	0.297501	−	0.297501i
$254$	19.2224	+	11.0981i	1.20612	+	0.696355i
$255$	−10.9019	+	12.2942i	−0.682705	+	0.769894i
$256$	−8.00000	−	13.8564i	−0.500000	−	0.866025i
$257$	25.2224	−	6.75833i	1.57333	−	0.421573i	0.636478	−	0.771295i	$-0.280390\pi$
$257$	25.2224	−	6.75833i	1.57333	−	0.421573i	0.936854	+	0.349721i	$0.113724\pi$
$258$	0.803848	−	1.39230i	0.0500454	−	0.0866811i
$259$	13.5622	+	23.4904i	0.842713	+	1.45962i
$260$	−6.00000	+	29.3205i	−0.372104	+	1.81838i
$261$	18.6962	+	10.7942i	1.15726	+	0.668146i
$262$	24.8564	+	6.66025i	1.53563	+	0.411472i
$263$	5.36603	+	1.43782i	0.330883	+	0.0886599i	0.420436	−	0.907322i	$-0.361877\pi$
$263$	5.36603	+	1.43782i	0.330883	+	0.0886599i	−0.0895528	+	0.995982i	$0.528544\pi$
$264$	−6.92820	+	6.92820i	−0.426401	+	0.426401i
$265$	3.29423	−	16.0981i	0.202363	−	0.988897i
$266$		−	5.32051i		−	0.326221i
$267$	21.9904	+	12.6962i	1.34579	+	0.776992i
$268$	7.26795	−	7.26795i	0.443961	−	0.443961i
$269$			1.00000i			0.0609711i	0.999535	+	0.0304855i	$0.00970535\pi$
$269$			1.00000i			0.0609711i	−0.999535	+	0.0304855i	$0.990295\pi$
$270$	−12.2942	−	10.9019i	−0.748203	−	0.663470i
$271$	−26.5885			−1.61513			−0.807567	−	0.589776i	$-0.799216\pi$
$271$	−26.5885			−1.61513			−0.807567	+	0.589776i	$0.799216\pi$
$272$	16.3923	−	4.39230i	0.993929	−	0.266323i
$273$	17.1962	−	29.7846i	1.04076	−	1.80265i
$274$	−5.07180			−0.306398
$275$	−9.92820	+	1.19615i	−0.598693	+	0.0721307i
$276$	−3.00000	−	11.1962i	−0.180579	−	0.673929i
$277$	0.169873	−	0.633975i	0.0102067	−	0.0380918i	−0.960635	−	0.277815i	$-0.910390\pi$
$277$	0.169873	−	0.633975i	0.0102067	−	0.0380918i	0.970841	+	0.239723i	$0.0770566\pi$
$278$	9.46410	+	2.53590i	0.567619	+	0.152093i
$279$	−6.58846			−0.394441
$280$	−8.39230	+	16.7846i	−0.501536	+	1.00307i
$281$	13.7942	−	7.96410i	0.822895	−	0.475098i	−0.0285190	−	0.999593i	$-0.509079\pi$
$281$	13.7942	−	7.96410i	0.822895	−	0.475098i	0.851414	+	0.524495i	$0.175746\pi$
$282$	12.2942	+	7.09808i	0.732111	+	0.422684i
$283$	−4.50000	−	16.7942i	−0.267497	−	0.998313i	−0.960704	−	0.277575i	$-0.910469\pi$
$283$	−4.50000	−	16.7942i	−0.267497	−	0.998313i	0.693207	−	0.720739i	$-0.256197\pi$
$284$	12.0000	+	20.7846i	0.712069	+	1.23334i
$285$	−0.294229	−	4.90192i	−0.0174286	−	0.290365i
$286$	−16.3923	−	9.46410i	−0.969297	−	0.559624i
$287$	−0.973721	−	0.973721i	−0.0574769	−	0.0574769i
$288$	4.39230	+	16.3923i	0.258819	+	0.965926i
$289$			1.00000i			0.0588235i
$290$	4.56218	−	22.2942i	0.267900	−	1.30916i
$291$	8.66025	+	8.66025i	0.507673	+	0.507673i
$292$	−0.535898	−	0.143594i	−0.0313611	−	0.00840318i
$293$	15.2942	−	4.09808i	0.893498	−	0.239412i	0.217276	−	0.976110i	$-0.430283\pi$
$293$	15.2942	−	4.09808i	0.893498	−	0.239412i	0.676222	+	0.736698i	$0.263616\pi$
$294$	3.12436	−	3.12436i	0.182216	−	0.182216i
$295$	1.63397	+	27.2224i	0.0951337	+	1.58495i
$296$		−	25.8564i		−	1.50287i
$297$	9.00000	−	5.19615i	0.522233	−	0.301511i
$298$	−2.56218	+	9.56218i	−0.148423	+	0.553922i
$299$	19.3923	−	11.1962i	1.12149	−	0.647490i
$300$	−6.80385	+	15.9282i	−0.392820	+	0.919615i
$301$	1.68653	+	0.973721i	0.0972102	+	0.0561243i
$302$	−16.0000	+	16.0000i	−0.920697	+	0.920697i
$303$			3.46410i			0.199007i
$304$	−2.53590	+	4.39230i	−0.145444	+	0.251916i
$305$	−5.32051	−	2.66025i	−0.304651	−	0.152326i
$306$	−18.0000			−1.02899
$307$	−12.6340	−	12.6340i	−0.721059	−	0.721059i	0.247762	−	0.968821i	$-0.420305\pi$
$307$	−12.6340	−	12.6340i	−0.721059	−	0.721059i	−0.968821	+	0.247762i	$0.920305\pi$
$308$	−8.39230	−	8.39230i	−0.478196	−	0.478196i
$309$	−22.2224	−	5.95448i	−1.26419	−	0.338739i
$310$	2.19615	+	6.58846i	0.124733	+	0.374199i
$311$	−3.29423	−	1.90192i	−0.186799	−	0.107848i	0.403684	−	0.914898i	$-0.367729\pi$
$311$	−3.29423	−	1.90192i	−0.186799	−	0.107848i	−0.590483	+	0.807050i	$0.701063\pi$
$312$	−28.3923	+	16.3923i	−1.60740	+	0.928032i
$313$	7.53590	−	28.1244i	0.425954	−	1.58968i	−0.335876	−	0.941906i	$-0.609032\pi$
$313$	7.53590	−	28.1244i	0.425954	−	1.58968i	0.761830	−	0.647776i	$-0.224301\pi$
$314$	−9.00000	−	15.5885i	−0.507899	−	0.879708i
$315$	13.2058	−	14.8923i	0.744061	−	0.839086i
$316$	−8.19615	+	14.1962i	−0.461070	+	0.798596i
$317$	−13.6603	−	3.66025i	−0.767236	−	0.205580i	−0.146086	−	0.989272i	$-0.546668\pi$
$317$	−13.6603	−	3.66025i	−0.767236	−	0.205580i	−0.621150	+	0.783692i	$0.713334\pi$
$318$	15.5885	−	9.00000i	0.874157	−	0.504695i
$319$	12.4641	+	7.19615i	0.697856	+	0.402907i
$320$	14.9282	−	9.85641i	0.834512	−	0.550990i
$321$	2.13397	−	0.571797i	0.119107	−	0.0319146i
$322$	13.5622	−	3.63397i	0.755791	−	0.202513i
$323$	−3.80385	−	3.80385i	−0.211652	−	0.211652i
$324$		−	18.0000i		−	1.00000i
$325$	−33.1244	−	4.73205i	−1.83741	−	0.262487i
$326$	−0.803848	−	0.464102i	−0.0445210	−	0.0257042i
$327$	12.9904	+	7.50000i	0.718370	+	0.414751i
$328$	0.339746	+	1.26795i	0.0187593	+	0.0700108i
$329$	−8.59808	+	14.8923i	−0.474027	+	0.821039i
$330$	−8.19615	−	7.26795i	−0.451183	−	0.400087i
$331$	26.4904	−	15.2942i	1.45604	−	0.840647i	0.457230	−	0.889349i	$-0.348842\pi$
$331$	26.4904	−	15.2942i	1.45604	−	0.840647i	0.998813	+	0.0487018i	$0.0155084\pi$
$332$	−5.33975	−	19.9282i	−0.293057	−	1.09370i
$333$	−7.09808	+	26.4904i	−0.388972	+	1.45166i
$334$	−7.90192	−	13.6865i	−0.432374	−	0.748894i
$335$	8.59808	+	7.62436i	0.469763	+	0.416563i
$336$	−19.8564	+	5.32051i	−1.08326	+	0.290258i
$337$	−3.73205	−	13.9282i	−0.203298	−	0.758718i	−0.989962	−	0.141336i	$-0.954860\pi$
$337$	−3.73205	−	13.9282i	−0.203298	−	0.758718i	0.786664	−	0.617381i	$-0.211806\pi$
$338$	−31.7846	−	31.7846i	−1.72885	−	1.72885i
$339$	−3.00000	+	11.1962i	−0.162938	+	0.608092i
$340$	6.00000	+	18.0000i	0.325396	+	0.976187i
$341$	−4.39230			−0.237857
$342$	3.80385	−	3.80385i	0.205689	−	0.205689i
$343$	−10.9019	−	10.9019i	−0.588649	−	0.588649i
$344$	−0.928203	−	1.60770i	−0.0500454	−	0.0866811i
$345$	12.2942	−	4.09808i	0.661899	−	0.220633i
$346$	−4.00000			−0.215041
$347$	−1.90192	−	7.09808i	−0.102101	−	0.381045i	0.895899	−	0.444257i	$-0.146532\pi$
$347$	−1.90192	−	7.09808i	−0.102101	−	0.381045i	−0.998000	+	0.0632121i	$0.979866\pi$
$348$	21.5885	−	12.4641i	1.15726	−	0.668146i
$349$	−14.7679	−	25.5788i	−0.790510	−	1.36920i	−0.925651	−	0.378377i	$-0.876482\pi$
$349$	−14.7679	−	25.5788i	−0.790510	−	1.36920i	0.135141	−	0.990826i	$-0.456851\pi$
$350$	−19.2942	−	8.24167i	−1.03132	−	0.440536i
$351$	33.5885	−	9.00000i	1.79282	−	0.480384i
$352$	2.92820	+	10.9282i	0.156074	+	0.582475i
$353$	−3.46410	−	0.928203i	−0.184376	−	0.0494033i	0.165450	−	0.986218i	$-0.447092\pi$
$353$	−3.46410	−	0.928203i	−0.184376	−	0.0494033i	−0.349825	+	0.936815i	$0.613759\pi$
$354$	−21.1244	+	21.1244i	−1.12275	+	1.12275i
$355$	−22.3923	+	14.7846i	−1.18846	+	0.784686i
$356$	25.3923	−	14.6603i	1.34579	−	0.776992i
$357$		−	21.8038i		−	1.15398i
$358$	−19.6603	+	5.26795i	−1.03908	+	0.278420i
$359$	8.19615			0.432576			0.216288	−	0.976330i	$-0.430605\pi$
$359$	8.19615			0.432576			0.216288	+	0.976330i	$0.430605\pi$
$360$	−18.0000	+	6.00000i	−0.948683	+	0.316228i
$361$	−17.3923			−0.915384
$362$	4.09808	−	1.09808i	0.215390	−	0.0577136i
$363$	−10.5000	+	6.06218i	−0.551107	+	0.318182i
$364$	−19.8564	−	34.3923i	−1.04076	−	1.80265i
$365$	0.124356	−	0.607695i	0.00650907	−	0.0318082i
$366$	−1.68653	−	6.29423i	−0.0881565	−	0.329005i
$367$	−9.56218	−	2.56218i	−0.499142	−	0.133745i	0.000459976	−	1.00000i	$-0.499854\pi$
$367$	−9.56218	−	2.56218i	−0.499142	−	0.133745i	−0.499602	+	0.866255i	$0.666520\pi$
$368$	−12.9282	−	3.46410i	−0.673929	−	0.180579i
$369$		−	1.39230i		−	0.0724805i
$370$	28.8564	−	1.73205i	1.50017	−	0.0900450i
$371$	10.9019	+	18.8827i	0.566000	+	0.980340i
$372$	−3.80385	+	6.58846i	−0.197220	+	0.341596i
$373$	−5.36603	−	20.0263i	−0.277842	−	1.03692i	−0.953913	−	0.300084i	$-0.902985\pi$
$373$	−5.36603	−	20.0263i	−0.277842	−	1.03692i	0.676070	−	0.736837i	$-0.263682\pi$
$374$	−12.0000			−0.620505
$375$	−18.2321	−	6.52628i	−0.941499	−	0.337016i
$376$	14.1962	−	8.19615i	0.732111	−	0.422684i
$377$	34.0526	+	34.0526i	1.75380	+	1.75380i
$378$	21.8038			1.12147
$379$	8.87564			0.455911			0.227956	−	0.973672i	$-0.426796\pi$
$379$	8.87564			0.455911			0.227956	+	0.973672i	$0.426796\pi$
$380$	−5.07180	−	2.53590i	−0.260178	−	0.130089i
$381$	−26.2583	+	7.03590i	−1.34526	+	0.360460i
$382$	−12.5885	−	12.5885i	−0.644082	−	0.644082i
$383$	5.24167	+	19.5622i	0.267837	+	0.999581i	0.960491	+	0.278311i	$0.0897745\pi$
$383$	5.24167	+	19.5622i	0.267837	+	0.999581i	−0.692654	+	0.721270i	$0.743559\pi$
$384$	18.9282	+	5.07180i	0.965926	+	0.258819i
$385$	8.80385	−	9.92820i	0.448686	−	0.505988i
$386$	10.0000	+	17.3205i	0.508987	+	0.881591i
$387$	0.509619	+	1.90192i	0.0259054	+	0.0966802i
$388$	13.6603	−	3.66025i	0.693494	−	0.185821i
$389$	−2.93782	+	1.69615i	−0.148953	+	0.0859983i	−0.572624	−	0.819818i	$-0.694075\pi$
$389$	−2.93782	+	1.69615i	−0.148953	+	0.0859983i	0.423671	+	0.905816i	$0.360741\pi$
$390$	−20.1962	−	30.5885i	−1.02267	−	1.54891i
$391$	7.09808	−	12.2942i	0.358965	−	0.621746i
$392$	−1.32051	−	4.92820i	−0.0666957	−	0.248912i
$393$	−27.2942	+	15.7583i	−1.37681	+	0.794903i
$394$	20.7846	+	12.0000i	1.04711	+	0.604551i
$395$	−16.3923	−	8.19615i	−0.824786	−	0.412393i
$396$		−	12.0000i		−	0.603023i
$397$	11.1962	+	11.1962i	0.561919	+	0.561919i	0.929852	−	0.367933i	$-0.119935\pi$
$397$	11.1962	+	11.1962i	0.561919	+	0.561919i	−0.367933	+	0.929852i	$0.619935\pi$
$398$	−8.46410	+	2.26795i	−0.424267	+	0.113682i
$399$	4.60770	+	4.60770i	0.230673	+	0.230673i
$400$	12.0000	+	16.0000i	0.600000	+	0.800000i
$401$	−10.6077	−	6.12436i	−0.529723	−	0.305836i	0.211181	−	0.977447i	$-0.432269\pi$
$401$	−10.6077	−	6.12436i	−0.529723	−	0.305836i	−0.740904	+	0.671611i	$0.765603\pi$
$402$			12.5885i			0.627855i
$403$	−14.1962	−	3.80385i	−0.707161	−	0.189483i
$404$	3.46410	+	2.00000i	0.172345	+	0.0995037i
$405$	20.0885	−	1.20577i	0.998203	−	0.0599153i
$406$	15.0981	+	26.1506i	0.749305	+	1.29783i
$407$	−4.73205	+	17.6603i	−0.234559	+	0.875386i
$408$	−10.3923	+	18.0000i	−0.514496	+	0.891133i
$409$	−5.19615	−	3.00000i	−0.256933	−	0.148340i	0.366002	−	0.930614i	$-0.380726\pi$
$409$	−5.19615	−	3.00000i	−0.256933	−	0.148340i	−0.622935	+	0.782274i	$0.714060\pi$
$410$	−1.39230	+	0.464102i	−0.0687610	+	0.0229203i
$411$	4.39230	−	4.39230i	0.216656	−	0.216656i
$412$	−18.7846	+	18.7846i	−0.925451	+	0.925451i
$413$	−25.5885	−	25.5885i	−1.25913	−	1.25913i
$414$	12.2942	+	7.09808i	0.604228	+	0.348851i
$415$	21.8827	−	7.29423i	1.07418	−	0.358060i
$416$			37.8564i			1.85606i
$417$	−10.3923	+	6.00000i	−0.508913	+	0.293821i
$418$	2.53590	−	2.53590i	0.124035	−	0.124035i
$419$	7.26795	+	4.19615i	0.355063	+	0.204995i	0.666913	−	0.745136i	$-0.267615\pi$
$419$	7.26795	+	4.19615i	0.355063	+	0.204995i	−0.311850	+	0.950131i	$0.600949\pi$
$420$	−7.26795	−	21.8038i	−0.354640	−	1.06392i
$421$	25.3923	−	14.6603i	1.23755	−	0.714497i	0.268953	−	0.963153i	$-0.413322\pi$
$421$	25.3923	−	14.6603i	1.23755	−	0.714497i	0.968592	+	0.248656i	$0.0799889\pi$
$422$		0			0
$423$	−16.7942	+	4.50000i	−0.816563	+	0.218797i
$424$		−	20.7846i		−	1.00939i
$425$	−19.6865	+	7.90192i	−0.954937	+	0.383300i
$426$	−28.3923	−	7.60770i	−1.37561	−	0.368594i
$427$	7.62436	−	2.04294i	0.368968	−	0.0988648i
$428$	0.660254	−	2.46410i	0.0319146	−	0.119107i
$429$	22.3923	−	6.00000i	1.08111	−	0.289683i
$430$	1.73205	−	1.14359i	0.0835269	−	0.0551490i
$431$		−	16.0526i		−	0.773225i	−0.922242	−	0.386612i	$-0.873645\pi$
$431$		−	16.0526i		−	0.773225i	0.922242	−	0.386612i	$-0.126355\pi$
$432$	−18.0000	−	10.3923i	−0.866025	−	0.500000i
$433$	5.39230	+	5.39230i	0.259138	+	0.259138i	0.824703	−	0.565566i	$-0.191342\pi$
$433$	5.39230	+	5.39230i	0.259138	+	0.259138i	−0.565566	+	0.824703i	$0.691342\pi$
$434$	−7.98076	−	4.60770i	−0.383089	−	0.221176i
$435$	15.3564	+	23.2583i	0.736283	+	1.11515i
$436$	15.0000	−	8.66025i	0.718370	−	0.414751i
$437$	1.09808	+	4.09808i	0.0525281	+	0.196038i
$438$	0.588457	−	0.339746i	0.0281176	−	0.0162337i
$439$	19.7321	−	11.3923i	0.941759	−	0.543725i	0.0512480	−	0.998686i	$-0.483680\pi$
$439$	19.7321	−	11.3923i	0.941759	−	0.543725i	0.890511	+	0.454961i	$0.150347\pi$
$440$	−12.0000	+	4.00000i	−0.572078	+	0.190693i
$441$			5.41154i			0.257693i
$442$	−38.7846	−	10.3923i	−1.84480	−	0.494312i
$443$	−4.28461	+	15.9904i	−0.203568	+	0.759726i	0.786313	+	0.617828i	$0.211987\pi$
$443$	−4.28461	+	15.9904i	−0.203568	+	0.759726i	−0.989881	+	0.141898i	$0.954679\pi$
$444$	22.3923	+	22.3923i	1.06269	+	1.06269i
$445$	18.0622	+	27.3564i	0.856229	+	1.29682i
$446$	13.8038			0.653631
$447$	−6.06218	−	10.5000i	−0.286731	−	0.496633i
$448$	−6.14359	+	22.9282i	−0.290258	+	1.08326i
$449$	8.78461			0.414571			0.207286	−	0.978280i	$-0.433537\pi$
$449$	8.78461			0.414571			0.207286	+	0.978280i	$0.433537\pi$
$450$	−7.90192	−	19.6865i	−0.372500	−	0.928032i
$451$		−	0.928203i		−	0.0437074i
$452$	9.46410	+	9.46410i	0.445154	+	0.445154i
$453$		−	27.7128i		−	1.30206i
$454$		−	26.7846i		−	1.25706i
$455$	37.0526	−	24.4641i	1.73705	−	1.14689i
$456$	−1.60770	−	6.00000i	−0.0752872	−	0.280976i
$457$	−4.36603	−	1.16987i	−0.204234	−	0.0547243i	0.155252	−	0.987875i	$-0.450381\pi$
$457$	−4.36603	−	1.16987i	−0.204234	−	0.0547243i	−0.359486	+	0.933151i	$0.617048\pi$
$458$	25.2224	+	6.75833i	1.17857	+	0.315796i
$459$	15.5885	−	15.5885i	0.727607	−	0.727607i
$460$	3.00000	−	14.6603i	0.139876	−	0.683538i
$461$	−8.79423	−	15.2321i	−0.409588	−	0.709427i	0.585255	−	0.810849i	$-0.300994\pi$
$461$	−8.79423	−	15.2321i	−0.409588	−	0.709427i	−0.994844	+	0.101422i	$0.967661\pi$
$462$	14.5359			0.676271
$463$	20.7583	−	5.56218i	0.964721	−	0.258496i	0.258124	−	0.966112i	$-0.416896\pi$
$463$	20.7583	−	5.56218i	0.964721	−	0.258496i	0.706598	+	0.707616i	$0.250229\pi$
$464$		−	28.7846i		−	1.33629i
$465$	−7.60770	−	3.80385i	−0.352798	−	0.176399i
$466$	−10.6077	−	6.12436i	−0.491392	−	0.283705i
$467$	−29.3923	+	29.3923i	−1.36011	+	1.36011i	−0.486349	+	0.873765i	$0.661672\pi$
$467$	−29.3923	+	29.3923i	−1.36011	+	1.36011i	−0.873765	+	0.486349i	$0.838328\pi$
$468$	10.3923	−	38.7846i	0.480384	−	1.79282i
$469$	−15.2487			−0.704120
$470$	10.0981	+	15.2942i	0.465790	+	0.705470i
$471$	21.2942	+	5.70577i	0.981186	+	0.262908i
$472$	8.92820	+	33.3205i	0.410954	+	1.53370i
$473$	0.339746	+	1.26795i	0.0156215	+	0.0583004i
$474$	−5.19615	−	19.3923i	−0.238667	−	0.890718i
$475$	2.49038	−	5.83013i	0.114267	−	0.267505i
$476$	−21.8038	−	12.5885i	−0.999378	−	0.576991i
$477$	−5.70577	+	21.2942i	−0.261249	+	0.974996i
$478$	−6.92820	−	1.85641i	−0.316889	−	0.0849101i
$479$	−1.56218	−	2.70577i	−0.0713777	−	0.123630i	0.828128	−	0.560540i	$-0.189406\pi$
$479$	−1.56218	−	2.70577i	−0.0713777	−	0.123630i	−0.899505	+	0.436910i	$0.856073\pi$
$480$	−4.39230	+	21.4641i	−0.200480	+	0.979698i
$481$	−30.5885	+	52.9808i	−1.39471	+	2.41571i
$482$	−29.1962	+	29.1962i	−1.32985	+	1.32985i
$483$	−8.59808	+	14.8923i	−0.391226	+	0.677623i
$484$			14.0000i			0.636364i
$485$	5.00000	+	15.0000i	0.227038	+	0.681115i
$486$	15.5885	+	15.5885i	0.707107	+	0.707107i
$487$	−17.3923	+	17.3923i	−0.788121	+	0.788121i	−0.981186	−	0.193065i	$-0.938157\pi$
$487$	−17.3923	+	17.3923i	−0.788121	+	0.788121i	0.193065	+	0.981186i	$0.438157\pi$
$488$	−7.26795	−	1.94744i	−0.329005	−	0.0881565i
$489$	1.09808	−	0.294229i	0.0496567	−	0.0133055i
$490$	5.41154	−	1.80385i	0.244469	−	0.0814895i
$491$	−8.39230	+	14.5359i	−0.378739	+	0.655996i	−0.990879	−	0.134754i	$-0.956976\pi$
$491$	−8.39230	+	14.5359i	−0.378739	+	0.655996i	0.612140	+	0.790750i	$0.290309\pi$
$492$	−1.39230	−	0.803848i	−0.0627700	−	0.0362402i
$493$	29.4904	+	7.90192i	1.32818	+	0.355885i
$494$	10.3923	−	6.00000i	0.467572	−	0.269953i
$495$	13.3923	−	0.803848i	0.601939	−	0.0361303i
$496$	4.39230	+	7.60770i	0.197220	+	0.341596i
$497$	9.21539	−	34.3923i	0.413367	−	1.54271i
$498$	21.8827	+	12.6340i	0.980587	+	0.566142i
$499$	7.39230	−	12.8038i	0.330925	−	0.573179i	−0.651768	−	0.758418i	$-0.725973\pi$
$499$	7.39230	−	12.8038i	0.330925	−	0.573179i	0.982693	+	0.185239i	$0.0593059\pi$
$500$	−17.0526	+	14.4641i	−0.762614	+	0.646854i
$501$	18.6962	+	5.00962i	0.835282	+	0.223813i
$502$	1.67949	+	6.26795i	0.0749594	+	0.279752i
$503$	−23.0263	+	23.0263i	−1.02669	+	1.02669i	−0.0270572	+	0.999634i	$0.508614\pi$
$503$	−23.0263	+	23.0263i	−1.02669	+	1.02669i	−0.999634	+	0.0270572i	$0.991386\pi$
$504$	12.5885	−	21.8038i	0.560734	−	0.971221i
$505$	−2.00000	+	4.00000i	−0.0889988	+	0.177998i
$506$	8.19615	+	4.73205i	0.364363	+	0.210365i
$507$	55.0526			2.44497
$508$	−8.12436	+	30.3205i	−0.360460	+	1.34526i
$509$	−20.4282	−	11.7942i	−0.905464	−	0.522770i	−0.0264952	−	0.999649i	$-0.508435\pi$
$509$	−20.4282	−	11.7942i	−0.905464	−	0.522770i	−0.878969	+	0.476879i	$0.841768\pi$
$510$	−20.7846	−	10.3923i	−0.920358	−	0.460179i
$511$	0.411543	+	0.712813i	0.0182056	+	0.0315330i
$512$	16.0000	−	16.0000i	0.707107	−	0.707107i
$513$			6.58846i			0.290887i
$514$	18.4641	+	31.9808i	0.814417	+	1.41061i
$515$	−22.2224	−	19.7058i	−0.979237	−	0.868340i
$516$	2.19615	+	0.588457i	0.0966802	+	0.0259054i
$517$	−11.1962	+	3.00000i	−0.492406	+	0.131940i
$518$	−27.1244	+	27.1244i	−1.19178	+	1.19178i
$519$	3.46410	−	3.46410i	0.152057	−	0.152057i
$520$	−42.2487	+	2.53590i	−1.85273	+	0.111207i
$521$			2.66025i			0.116548i	0.998301	+	0.0582739i	$0.0185597\pi$
$521$			2.66025i			0.116548i	−0.998301	+	0.0582739i	$0.981440\pi$
$522$	−7.90192	+	29.4904i	−0.345858	+	1.29076i
$523$	−10.5622	+	10.5622i	−0.461852	+	0.461852i	−0.899262	−	0.437410i	$-0.855896\pi$
$523$	−10.5622	+	10.5622i	−0.461852	+	0.461852i	0.437410	+	0.899262i	$0.355896\pi$
$524$			36.3923i			1.58981i
$525$	23.8468	−	9.57180i	1.04076	−	0.417747i
$526$			7.85641i			0.342556i
$527$	−9.00000	+	2.41154i	−0.392046	+	0.105048i
$528$	−12.0000	−	6.92820i	−0.522233	−	0.301511i
$529$	10.2224	−	5.90192i	0.444454	−	0.256605i
$530$	23.1962	−	1.39230i	1.00758	−	0.0604779i
$531$		−	36.5885i		−	1.58780i
$532$	7.26795	−	1.94744i	0.315106	−	0.0844323i
$533$	0.803848	−	3.00000i	0.0348185	−	0.129944i
$534$	−9.29423	+	34.6865i	−0.402201	+	1.50103i
$535$	2.79423	+	0.571797i	0.120805	+	0.0247209i
$536$	12.5885	+	7.26795i	0.543739	+	0.313928i
$537$	12.4641	−	21.5885i	0.537866	−	0.931611i
$538$	−1.36603	+	0.366025i	−0.0588935	+	0.0157805i
$539$			3.60770i			0.155394i
$540$	10.3923	−	20.7846i	0.447214	−	0.894427i
$541$			5.53590i			0.238007i	0.992894	+	0.119003i	$0.0379700\pi$
$541$			5.53590i			0.238007i	−0.992894	+	0.119003i	$0.962030\pi$
$542$	−9.73205	−	36.3205i	−0.418027	−	1.56010i
$543$	−2.59808	+	4.50000i	−0.111494	+	0.193113i
$544$	12.0000	+	20.7846i	0.514496	+	0.891133i
$545$	10.6699	+	16.1603i	0.457047	+	0.692229i
$546$	46.9808	+	12.5885i	2.01059	+	0.538736i
$547$	11.5526	−	43.1147i	0.493952	−	1.84345i	−0.0418717	−	0.999123i	$-0.513332\pi$
$547$	11.5526	−	43.1147i	0.493952	−	1.84345i	0.535823	−	0.844330i	$-0.320001\pi$
$548$	−1.85641	−	6.92820i	−0.0793018	−	0.295958i
$549$	6.91154	+	3.99038i	0.294977	+	0.170305i
$550$	−5.26795	−	13.1244i	−0.224626	−	0.559624i
$551$	−7.90192	+	4.56218i	−0.336633	+	0.194355i
$552$	14.1962	−	8.19615i	0.604228	−	0.348851i
$553$	23.4904	−	6.29423i	0.998913	−	0.267658i
$554$	0.928203			0.0394356
$555$	−23.4904	+	26.4904i	−0.997111	+	1.12445i
$556$			13.8564i			0.587643i
$557$	11.1962	−	11.1962i	0.474396	−	0.474396i	−0.428938	−	0.903334i	$-0.641112\pi$
$557$	11.1962	−	11.1962i	0.474396	−	0.474396i	0.903334	+	0.428938i	$0.141112\pi$
$558$	−2.41154	−	9.00000i	−0.102089	−	0.381000i
$559$			4.39230i			0.185775i
$560$	−26.0000	−	5.32051i	−1.09870	−	0.224833i
$561$	10.3923	−	10.3923i	0.438763	−	0.438763i
$562$	15.9282	+	15.9282i	0.671891	+	0.671891i
$563$	−3.40192	+	0.911543i	−0.143374	+	0.0384169i	−0.329792	−	0.944054i	$-0.606979\pi$
$563$	−3.40192	+	0.911543i	−0.143374	+	0.0384169i	0.186418	+	0.982470i	$0.440312\pi$
$564$	−5.19615	+	19.3923i	−0.218797	+	0.816563i
$565$	−9.92820	+	11.1962i	−0.417683	+	0.471026i
$566$	21.2942	−	12.2942i	0.895063	−	0.516765i
$567$	−18.8827	+	18.8827i	−0.792998	+	0.792998i
$568$	−24.0000	+	24.0000i	−1.00702	+	1.00702i
$569$	−4.73205	−	8.19615i	−0.198378	−	0.343601i	0.749625	−	0.661863i	$-0.230234\pi$
$569$	−4.73205	−	8.19615i	−0.198378	−	0.343601i	−0.948003	+	0.318263i	$0.896901\pi$
$570$	6.58846	−	2.19615i	0.275960	−	0.0919867i
$571$	3.00000	+	1.73205i	0.125546	+	0.0724841i	0.561458	−	0.827505i	$-0.310241\pi$
$571$	3.00000	+	1.73205i	0.125546	+	0.0724841i	−0.435912	+	0.899989i	$0.643574\pi$
$572$	6.92820	−	25.8564i	0.289683	−	1.08111i
$573$	21.8038			0.910869
$574$	0.973721	−	1.68653i	0.0406423	−	0.0703945i
$575$	16.5622	+	2.36603i	0.690691	+	0.0986701i
$576$	−20.7846	+	12.0000i	−0.866025	+	0.500000i
$577$	−15.3923	+	15.3923i	−0.640790	+	0.640790i	−0.950750	−	0.309960i	$-0.899684\pi$
$577$	−15.3923	+	15.3923i	−0.640790	+	0.640790i	0.309960	+	0.950750i	$0.399684\pi$
$578$	−1.36603	+	0.366025i	−0.0568192	+	0.0152246i
$579$	−23.6603	−	6.33975i	−0.983287	−	0.263471i
$580$	32.1244	−	1.92820i	1.33389	−	0.0800643i
$581$	−15.3038	+	26.5070i	−0.634911	+	1.09970i
$582$	−8.66025	+	15.0000i	−0.358979	+	0.621770i
$583$	−3.80385	+	14.1962i	−0.157539	+	0.587945i
$584$		−	0.784610i		−	0.0324674i
$585$	43.9808	+	9.00000i	1.81838	+	0.372104i
$586$	11.1962	+	19.3923i	0.462509	+	0.801089i
$587$	39.7487	+	10.6506i	1.64060	+	0.439599i	0.956961	−	0.290217i	$-0.0937275\pi$
$587$	39.7487	+	10.6506i	1.64060	+	0.439599i	0.683644	+	0.729816i	$0.260394\pi$
$588$	5.41154	+	3.12436i	0.223168	+	0.128846i
$589$	1.39230	−	2.41154i	0.0573689	−	0.0993659i
$590$	−36.5885	+	12.1962i	−1.50632	+	0.502108i
$591$	−28.3923	+	7.60770i	−1.16790	+	0.312939i
$592$	35.3205	−	9.46410i	1.45166	−	0.388972i
$593$	2.66025	−	2.66025i	0.109244	−	0.109244i	−0.650372	−	0.759616i	$-0.725387\pi$
$593$	2.66025	−	2.66025i	0.109244	−	0.109244i	0.759616	+	0.650372i	$0.225387\pi$
$594$	10.3923	+	10.3923i	0.426401	+	0.426401i
$595$	12.5885	−	25.1769i	0.516076	−	1.03215i
$596$	−14.0000			−0.573462
$597$	5.36603	−	9.29423i	0.219617	−	0.380387i
$598$	22.3923	+	22.3923i	0.915689	+	0.915689i
$599$	−0.294229	+	0.509619i	−0.0120219	+	0.0208225i	−0.871974	−	0.489553i	$-0.837160\pi$
$599$	−0.294229	+	0.509619i	−0.0120219	+	0.0208225i	0.859952	+	0.510375i	$0.170493\pi$
$600$	−24.2487	−	3.46410i	−0.989949	−	0.141421i
$601$	−10.8038	−	18.7128i	−0.440698	−	0.763312i	0.557043	−	0.830483i	$-0.311936\pi$
$601$	−10.8038	−	18.7128i	−0.440698	−	0.763312i	−0.997741	+	0.0671719i	$0.978602\pi$
$602$	−0.712813	+	2.66025i	−0.0290521	+	0.108424i
$603$	−10.9019	−	10.9019i	−0.443961	−	0.443961i
$604$	−27.7128	−	16.0000i	−1.12762	−	0.651031i
$605$	−15.6244	+	0.937822i	−0.635220	+	0.0381279i
$606$	−4.73205	+	1.26795i	−0.192226	+	0.0515069i
$607$	−5.74167	−	21.4282i	−0.233047	−	0.869744i	−0.979019	−	0.203767i	$-0.934682\pi$
$607$	−5.74167	−	21.4282i	−0.233047	−	0.869744i	0.745972	−	0.665977i	$-0.231985\pi$
$608$	−6.92820	−	1.85641i	−0.280976	−	0.0752872i
$609$	−35.7224	−	9.57180i	−1.44755	−	0.387869i
$610$	1.68653	−	8.24167i	0.0682857	−	0.333695i
$611$	−38.7846			−1.56906
$612$	−6.58846	−	24.5885i	−0.266323	−	0.993929i
$613$	17.7846	−	17.7846i	0.718314	−	0.718314i	−0.249946	−	0.968260i	$-0.580413\pi$
$613$	17.7846	−	17.7846i	0.718314	−	0.718314i	0.968260	+	0.249946i	$0.0804129\pi$
$614$	12.6340	−	21.8827i	0.509866	−	0.883113i
$615$	0.803848	−	1.60770i	0.0324143	−	0.0648285i
$616$	8.39230	−	14.5359i	0.338136	−	0.585668i
$617$	−37.5167	+	10.0526i	−1.51036	+	0.404701i	−0.916556	−	0.399906i	$-0.869043\pi$
$617$	−37.5167	+	10.0526i	−1.51036	+	0.404701i	−0.593808	+	0.804607i	$0.702376\pi$
$618$		−	32.5359i		−	1.30879i
$619$	7.09808	+	12.2942i	0.285296	+	0.494147i	0.972681	−	0.232146i	$-0.0745748\pi$
$619$	7.09808	+	12.2942i	0.285296	+	0.494147i	−0.687385	+	0.726293i	$0.741242\pi$
$620$	−8.19615	+	5.41154i	−0.329165	+	0.217333i
$621$	−16.7942	+	4.50000i	−0.673929	+	0.180579i
$622$	1.39230	−	5.19615i	0.0558263	−	0.208347i
$623$	−42.0167	−	11.2583i	−1.68336	−	0.451055i
$624$	−32.7846	−	32.7846i	−1.31243	−	1.31243i
$625$	−17.2846	−	18.0622i	−0.691384	−	0.722487i
$626$	41.1769			1.64576
$627$			4.39230i			0.175412i
$628$	18.0000	−	18.0000i	0.718278	−	0.718278i
$629$			38.7846i			1.54644i
$630$	25.1769	+	12.5885i	1.00307	+	0.501536i
$631$	−18.0000			−0.716569			−0.358284	−	0.933613i	$-0.616638\pi$
$631$	−18.0000			−0.716569			−0.358284	+	0.933613i	$0.616638\pi$
$632$	−22.3923	−	6.00000i	−0.890718	−	0.238667i
$633$		0			0
$634$		−	20.0000i		−	0.794301i
$635$	−34.3827	−	7.03590i	−1.36444	−	0.279211i
$636$	18.0000	+	18.0000i	0.713746	+	0.713746i
$637$	−3.12436	+	11.6603i	−0.123791	+	0.461996i
$638$	−5.26795	+	19.6603i	−0.208560	+	0.778357i
$639$	31.1769	−	18.0000i	1.23334	−	0.712069i
$640$	18.9282	+	16.7846i	0.748203	+	0.663470i
$641$	0.186533	−	0.107695i	0.00736763	−	0.00425370i	−0.496312	−	0.868144i	$-0.665313\pi$
$641$	0.186533	−	0.107695i	0.00736763	−	0.00425370i	0.503679	+	0.863891i	$0.331979\pi$
$642$	1.56218	+	2.70577i	0.0616542	+	0.106788i
$643$	10.2058	+	38.0885i	0.402476	+	1.50206i	0.808663	+	0.588272i	$0.200192\pi$
$643$	10.2058	+	38.0885i	0.402476	+	1.50206i	−0.406187	+	0.913790i	$0.633142\pi$
$644$	9.92820	+	17.1962i	0.391226	+	0.677623i
$645$	−0.509619	+	2.49038i	−0.0200662	+	0.0980587i
$646$	3.80385	−	6.58846i	0.149660	−	0.259219i
$647$	−16.6865	−	16.6865i	−0.656015	−	0.656015i	0.298419	−	0.954435i	$-0.403541\pi$
$647$	−16.6865	−	16.6865i	−0.656015	−	0.656015i	−0.954435	+	0.298419i	$0.903541\pi$
$648$	24.5885	−	6.58846i	0.965926	−	0.258819i
$649$		−	24.3923i		−	0.957482i
$650$	−5.66025	−	46.9808i	−0.222013	−	1.84274i
$651$	10.9019	−	2.92116i	0.427280	−	0.114489i
$652$	0.339746	−	1.26795i	0.0133055	−	0.0496567i
$653$	−0.830127	+	0.222432i	−0.0324854	+	0.00870443i	−0.275025	−	0.961437i	$-0.588686\pi$
$653$	−0.830127	+	0.222432i	−0.0324854	+	0.00870443i	0.242540	+	0.970141i	$0.422020\pi$
$654$	−5.49038	+	20.4904i	−0.214691	+	0.801237i
$655$	−40.6147	+	2.43782i	−1.58695	+	0.0952536i
$656$	−1.60770	+	0.928203i	−0.0627700	+	0.0362402i
$657$	−0.215390	+	0.803848i	−0.00840318	+	0.0313611i
$658$	−23.4904	−	6.29423i	−0.915750	−	0.245375i
$659$	−7.26795	+	4.19615i	−0.283119	+	0.163459i	−0.634835	−	0.772648i	$-0.718932\pi$
$659$	−7.26795	+	4.19615i	−0.283119	+	0.163459i	0.351716	+	0.936107i	$0.385598\pi$
$660$	6.92820	−	13.8564i	0.269680	−	0.539360i
$661$	−6.00000	−	3.46410i	−0.233373	−	0.134738i	0.378754	−	0.925497i	$-0.376353\pi$
$661$	−6.00000	−	3.46410i	−0.233373	−	0.134738i	−0.612127	+	0.790759i	$0.709686\pi$
$662$	30.5885	+	30.5885i	1.18885	+	1.18885i
$663$	42.5885	−	24.5885i	1.65400	−	0.954937i
$664$	25.2679	−	14.5885i	0.980587	−	0.566142i
$665$	2.66025	+	7.98076i	0.103160	+	0.309481i
$666$	−38.7846			−1.50287
$667$	−17.0263	−	17.0263i	−0.659260	−	0.659260i
$668$	15.8038	−	15.8038i	0.611469	−	0.611469i
$669$	−11.9545	+	11.9545i	−0.462187	+	0.462187i
$670$	−7.26795	+	14.5359i	−0.280785	+	0.561571i
$671$	4.60770	+	2.66025i	0.177878	+	0.102698i
$672$	−14.5359	−	25.1769i	−0.560734	−	0.971221i
$673$	−12.6603	+	47.2487i	−0.488017	+	1.82130i	0.0780562	+	0.996949i	$0.475129\pi$
$673$	−12.6603	+	47.2487i	−0.488017	+	1.82130i	−0.566073	+	0.824355i	$0.691538\pi$
$674$	17.6603	−	10.1962i	0.680248	−	0.392741i
$675$	23.8923	+	10.2058i	0.919615	+	0.392820i
$676$	31.7846	−	55.0526i	1.22248	−	2.11741i
$677$	17.4641	+	4.67949i	0.671200	+	0.179847i	0.578295	−	0.815828i	$-0.303718\pi$
$677$	17.4641	+	4.67949i	0.671200	+	0.179847i	0.0929047	+	0.995675i	$0.470385\pi$
$678$	−16.3923			−0.629543
$679$	−18.1699	−	10.4904i	−0.697296	−	0.402584i
$680$	−22.3923	+	14.7846i	−0.858706	+	0.566964i
$681$	23.1962	+	23.1962i	0.888878	+	0.888878i
$682$	−1.60770	−	6.00000i	−0.0615618	−	0.229752i
$683$	−7.00000	−	7.00000i	−0.267848	−	0.267848i	0.560385	−	0.828232i	$-0.310653\pi$
$683$	−7.00000	−	7.00000i	−0.267848	−	0.267848i	−0.828232	+	0.560385i	$0.810653\pi$
$684$	6.58846	+	3.80385i	0.251916	+	0.145444i
$685$	7.60770	−	2.53590i	0.290675	−	0.0968917i
$686$	10.9019	−	18.8827i	0.416237	−	0.720944i
$687$	−27.6962	+	15.9904i	−1.05667	+	0.610071i
$688$	1.85641	−	1.85641i	0.0707748	−	0.0707748i
$689$	−24.5885	+	42.5885i	−0.936746	+	1.62249i
$690$	10.0981	+	15.2942i	0.384427	+	0.582241i
$691$	−37.4711	+	21.6340i	−1.42547	+	0.822995i	−0.996759	−	0.0804467i	$-0.974365\pi$
$691$	−37.4711	+	21.6340i	−1.42547	+	0.822995i	−0.428711	+	0.903442i	$0.641032\pi$
$692$	−1.46410	−	5.46410i	−0.0556568	−	0.207714i
$693$	−12.5885	+	12.5885i	−0.478196	+	0.478196i
$694$	9.00000	−	5.19615i	0.341635	−	0.197243i
$695$	−15.4641	+	0.928203i	−0.586587	+	0.0352088i
$696$	24.9282	+	24.9282i	0.944901	+	0.944901i
$697$	−0.509619	−	1.90192i	−0.0193032	−	0.0720405i
$698$	29.5359	−	29.5359i	1.11795	−	1.11795i
$699$	14.4904	−	3.88269i	0.548077	−	0.146857i
$700$	4.19615	−	29.3731i	0.158600	−	1.11020i
$701$	−12.1769			−0.459916			−0.229958	−	0.973201i	$-0.573859\pi$
$701$	−12.1769			−0.459916			−0.229958	+	0.973201i	$0.573859\pi$
$702$	24.5885	+	42.5885i	0.928032	+	1.60740i
$703$	−8.19615	−	8.19615i	−0.309124	−	0.309124i
$704$	−13.8564	+	8.00000i	−0.522233	+	0.301511i
$705$	−21.9904	−	4.50000i	−0.828206	−	0.169480i
$706$		−	5.07180i		−	0.190880i
$707$	−1.53590	−	5.73205i	−0.0577634	−	0.215576i
$708$	−36.5885	−	21.1244i	−1.37508	−	0.793902i
$709$	23.4282	+	40.5788i	0.879865	+	1.52397i	0.851489	+	0.524373i	$0.175700\pi$
$709$	23.4282	+	40.5788i	0.879865	+	1.52397i	0.0283759	+	0.999597i	$0.490966\pi$
$710$	−28.3923	−	25.1769i	−1.06554	−	0.944873i
$711$	21.2942	+	12.2942i	0.798596	+	0.461070i
$712$	29.3205	+	29.3205i	1.09883	+	1.09883i
$713$	7.09808	+	1.90192i	0.265825	+	0.0712276i
$714$	29.7846	−	7.98076i	1.11466	−	0.298673i
$715$	29.3205	+	6.00000i	1.09652	+	0.224387i
$716$	−14.3923	−	24.9282i	−0.537866	−	0.931611i
$717$	7.60770	−	4.39230i	0.284115	−	0.164034i
$718$	3.00000	+	11.1962i	0.111959	+	0.417837i
$719$	43.5167			1.62290			0.811449	−	0.584424i	$-0.198679\pi$
$719$	43.5167			1.62290			0.811449	+	0.584424i	$0.198679\pi$
$720$	−14.7846	−	22.3923i	−0.550990	−	0.834512i
$721$	39.4115			1.46776
$722$	−6.36603	−	23.7583i	−0.236919	−	0.884193i
$723$		−	50.5692i		−	1.88069i
$724$	3.00000	+	5.19615i	0.111494	+	0.193113i
$725$	4.30385	+	35.7224i	0.159841	+	1.32670i
$726$	−12.1244	−	12.1244i	−0.449977	−	0.449977i
$727$	−4.23205	−	1.13397i	−0.156958	−	0.0420568i	0.179484	−	0.983761i	$-0.442557\pi$
$727$	−4.23205	−	1.13397i	−0.156958	−	0.0420568i	−0.336442	+	0.941704i	$0.609224\pi$
$728$	39.7128	−	39.7128i	1.47185	−	1.47185i
$729$	−27.0000			−1.00000
$730$	0.875644	−	0.0525589i	0.0324091	−	0.00194529i
$731$	1.39230	+	2.41154i	0.0514963	+	0.0891941i
$732$	7.98076	−	4.60770i	0.294977	−	0.170305i
$733$	−1.56218	−	5.83013i	−0.0577004	−	0.215341i	0.931056	−	0.364876i	$-0.118889\pi$
$733$	−1.56218	−	5.83013i	−0.0577004	−	0.215341i	−0.988756	+	0.149536i	$0.952222\pi$
$734$		−	14.0000i		−	0.516749i
$735$	−3.12436	+	6.24871i	−0.115244	+	0.230487i
$736$		−	18.9282i		−	0.697703i
$737$	−7.26795	−	7.26795i	−0.267718	−	0.267718i
$738$	1.90192	−	0.509619i	0.0700108	−	0.0187593i
$739$	−19.2679			−0.708783			−0.354391	−	0.935097i	$-0.615312\pi$
$739$	−19.2679			−0.708783			−0.354391	+	0.935097i	$0.615312\pi$
$740$	12.9282	+	38.7846i	0.475250	+	1.42575i
$741$	−3.80385	+	14.1962i	−0.139738	+	0.521509i
$742$	−21.8038	+	21.8038i	−0.800444	+	0.800444i
$743$	7.45448	+	27.8205i	0.273478	+	1.02064i	0.956854	+	0.290569i	$0.0938444\pi$
$743$	7.45448	+	27.8205i	0.273478	+	1.02064i	−0.683376	+	0.730067i	$0.739489\pi$
$744$	−10.3923	−	2.78461i	−0.381000	−	0.102089i
$745$	−0.937822	−	15.6244i	−0.0343591	−	0.572432i
$746$	25.3923	−	14.6603i	0.929678	−	0.536750i
$747$	−29.8923	+	8.00962i	−1.09370	+	0.293057i
$748$	−4.39230	−	16.3923i	−0.160599	−	0.599362i
$749$	−3.27757	+	1.89230i	−0.119760	+	0.0691433i
$750$	2.24167	−	27.2942i	0.0818542	−	0.996644i
$751$	−17.1962	+	29.7846i	−0.627497	+	1.08686i	0.360556	+	0.932738i	$0.382587\pi$
$751$	−17.1962	+	29.7846i	−0.627497	+	1.08686i	−0.988052	+	0.154118i	$0.950746\pi$
$752$	16.3923	+	16.3923i	0.597766	+	0.597766i
$753$	−6.88269	−	3.97372i	−0.250819	−	0.144810i
$754$	−34.0526	+	58.9808i	−1.24012	+	2.14795i
$755$	16.0000	−	32.0000i	0.582300	−	1.16460i
$756$	7.98076	+	29.7846i	0.290258	+	1.08326i
$757$	4.05256	+	4.05256i	0.147293	+	0.147293i	0.776908	−	0.629615i	$-0.216787\pi$
$757$	4.05256	+	4.05256i	0.147293	+	0.147293i	−0.629615	+	0.776908i	$0.716787\pi$
$758$	3.24871	+	12.1244i	0.117999	+	0.440376i
$759$	−11.1962	+	3.00000i	−0.406395	+	0.108893i
$760$	1.60770	−	7.85641i	0.0583172	−	0.284982i
$761$	−30.4808	−	17.5981i	−1.10493	−	0.637930i	−0.167416	−	0.985886i	$-0.553542\pi$
$761$	−30.4808	−	17.5981i	−1.10493	−	0.637930i	−0.937511	+	0.347957i	$0.886876\pi$
$762$	−19.2224	−	33.2942i	−0.696355	−	1.20612i
$763$	−24.8205	−	6.65064i	−0.898563	−	0.240769i
$764$	12.5885	−	21.8038i	0.455434	−	0.788836i
$765$	27.0000	−	9.00000i	0.976187	−	0.325396i
$766$	−24.8038	+	14.3205i	−0.896199	+	0.517421i
$767$	21.1244	−	78.8372i	0.762756	−	2.84665i
$768$			27.7128i			1.00000i
$769$	42.0622	+	24.2846i	1.51680	+	0.875725i	0.999805	+	0.0197374i	$0.00628303\pi$
$769$	42.0622	+	24.2846i	1.51680	+	0.875725i	0.516996	+	0.855988i	$0.327050\pi$
$770$	16.7846	+	8.39230i	0.604875	+	0.302438i
$771$	−43.6865	−	11.7058i	−1.57333	−	0.421573i
$772$	−20.0000	+	20.0000i	−0.719816	+	0.719816i
$773$	−5.80385	−	5.80385i	−0.208750	−	0.208750i	0.594986	−	0.803736i	$-0.297158\pi$
$773$	−5.80385	−	5.80385i	−0.208750	−	0.208750i	−0.803736	+	0.594986i	$0.797158\pi$
$774$	−2.41154	+	1.39230i	−0.0866811	+	0.0500454i
$775$	−6.58846	−	8.78461i	−0.236664	−	0.315552i
$776$	10.0000	+	17.3205i	0.358979	+	0.621770i
$777$		−	46.9808i		−	1.68543i
$778$	−3.39230	−	3.39230i	−0.121620	−	0.121620i
$779$	0.509619	+	0.294229i	0.0182590	+	0.0105418i
$780$	34.3923	−	38.7846i	1.23144	−	1.38871i
$781$	20.7846	−	12.0000i	0.743732	−	0.429394i
$782$	19.3923	+	5.19615i	0.693467	+	0.185814i
$783$	−18.6962	−	32.3827i	−0.668146	−	1.15726i
$784$	6.24871	−	3.60770i	0.223168	−	0.128846i
$785$	21.2942	+	18.8827i	0.760024	+	0.673952i
$786$	−31.5167	−	31.5167i	−1.12416	−	1.12416i
$787$	−22.5622	+	6.04552i	−0.804255	+	0.215499i	−0.637451	−	0.770491i	$-0.720011\pi$
$787$	−22.5622	+	6.04552i	−0.804255	+	0.215499i	−0.166804	+	0.985990i	$0.553345\pi$
$788$	−8.78461	+	32.7846i	−0.312939	+	1.16790i
$789$	−6.80385	−	6.80385i	−0.242223	−	0.242223i
$790$	5.19615	−	25.3923i	0.184871	−	0.903418i
$791$		−	19.8564i		−	0.706013i
$792$	16.3923	−	4.39230i	0.582475	−	0.156074i
$793$	12.5885	+	12.5885i	0.447029	+	0.447029i
$794$	−11.1962	+	19.3923i	−0.397337	+	0.688207i
$795$	−18.8827	+	21.2942i	−0.669700	+	0.755228i
$796$	−6.19615	−	10.7321i	−0.219617	−	0.380387i
$797$	−2.12436	−	7.92820i	−0.0752485	−	0.280831i	0.918041	−	0.396485i	$-0.129770\pi$
$797$	−2.12436	−	7.92820i	−0.0752485	−	0.280831i	−0.993290	+	0.115654i	$0.963104\pi$
$798$	−4.60770	+	7.98076i	−0.163111	+	0.282516i
$799$	−21.2942	+	12.2942i	−0.753336	+	0.434939i
$800$	−17.4641	+	22.2487i	−0.617449	+	0.786611i
$801$	−21.9904	−	38.0885i	−0.776992	−	1.34579i
$802$	4.48334	−	16.7321i	0.158312	−	0.590829i
$803$	−0.143594	+	0.535898i	−0.00506731	+	0.0189114i
$804$	−17.1962	+	4.60770i	−0.606462	+	0.162501i
$805$	−18.5263	+	12.2321i	−0.652966	+	0.431123i
$806$		−	20.7846i		−	0.732107i
$807$	0.866025	−	1.50000i	0.0304855	−	0.0528025i
$808$	−1.46410	+	5.46410i	−0.0515069	+	0.192226i
$809$	9.71281			0.341484			0.170742	−	0.985316i	$-0.445383\pi$
$809$	9.71281			0.341484			0.170742	+	0.985316i	$0.445383\pi$
$810$	9.00000	+	27.0000i	0.316228	+	0.948683i
$811$			13.2679i			0.465901i	0.972489	+	0.232950i	$0.0748380\pi$
$811$			13.2679i			0.465901i	−0.972489	+	0.232950i	$0.925162\pi$
$812$	−30.1962	+	30.1962i	−1.05968	+	1.05968i
$813$	39.8827	+	23.0263i	1.39875	+	0.807567i
$814$	−25.8564			−0.906267
$815$	1.43782	+	0.294229i	0.0503647	+	0.0103064i
$816$	−28.3923	−	7.60770i	−0.993929	−	0.266323i
$817$	−0.803848	−	0.215390i	−0.0281231	−	0.00753555i
$818$	2.19615	−	8.19615i	0.0767867	−	0.286572i
$819$	−51.5885	+	29.7846i	−1.80265	+	1.04076i
$820$	−1.14359	−	1.73205i	−0.0399360	−	0.0604858i
$821$	−27.2846	−	47.2583i	−0.952239	−	1.64933i	−0.740563	−	0.671987i	$-0.765441\pi$
$821$	−27.2846	−	47.2583i	−0.952239	−	1.64933i	−0.211677	−	0.977340i	$-0.567892\pi$
$822$	7.60770	+	4.39230i	0.265349	+	0.153199i
$823$	−3.96410	+	1.06218i	−0.138180	+	0.0370252i	−0.327246	−	0.944939i	$-0.606121\pi$
$823$	−3.96410	+	1.06218i	−0.138180	+	0.0370252i	0.189066	+	0.981964i	$0.439454\pi$
$824$	−32.5359	−	18.7846i	−1.13344	−	0.654393i
$825$	15.9282	+	6.80385i	0.554549	+	0.236880i
$826$	25.5885	−	44.3205i	0.890336	−	1.54211i
$827$	6.29423	−	6.29423i	0.218872	−	0.218872i	−0.589151	−	0.808023i	$-0.700538\pi$
$827$	6.29423	−	6.29423i	0.218872	−	0.218872i	0.808023	+	0.589151i	$0.200538\pi$
$828$	−5.19615	+	19.3923i	−0.180579	+	0.673929i
$829$	13.0526			0.453334			0.226667	−	0.973972i	$-0.427217\pi$
$829$	13.0526			0.453334			0.226667	+	0.973972i	$0.427217\pi$
$830$	17.9737	+	27.2224i	0.623877	+	0.944904i
$831$	−0.803848	+	0.803848i	−0.0278852	+	0.0278852i
$832$	−51.7128	+	13.8564i	−1.79282	+	0.480384i
$833$	1.98076	+	7.39230i	0.0686293	+	0.256128i
$834$	−12.0000	−	12.0000i	−0.415526	−	0.415526i
$835$	18.6962	+	16.5788i	0.647007	+	0.573734i
$836$	4.39230	+	2.53590i	0.151911	+	0.0877059i
$837$	9.88269	+	5.70577i	0.341596	+	0.197220i
$838$	−3.07180	+	11.4641i	−0.106113	+	0.396021i
$839$	−5.02628	−	8.70577i	−0.173526	−	0.300557i	0.766124	−	0.642693i	$-0.222183\pi$
$839$	−5.02628	−	8.70577i	−0.173526	−	0.300557i	−0.939650	+	0.342136i	$0.888850\pi$
$840$	27.1244	−	17.9090i	0.935879	−	0.617918i
$841$	11.3923	−	19.7321i	0.392838	−	0.680416i
$842$	29.3205	+	29.3205i	1.01045	+	1.01045i
$843$	−27.5885			−0.950197
$844$		0			0
$845$	63.5692	+	31.7846i	2.18685	+	1.09342i
$846$	−12.2942	−	21.2942i	−0.422684	−	0.732111i
$847$	14.6865	−	14.6865i	0.504635	−	0.504635i
$848$	28.3923	−	7.60770i	0.974996	−	0.261249i
$849$	−7.79423	+	29.0885i	−0.267497	+	0.998313i
$850$	−18.0000	−	24.0000i	−0.617395	−	0.823193i
$851$	15.2942	−	26.4904i	0.524279	−	0.908079i
$852$		−	41.5692i		−	1.42414i
$853$	−12.0000	−	3.21539i	−0.410872	−	0.110093i	0.0474615	−	0.998873i	$-0.484887\pi$
$853$	−12.0000	−	3.21539i	−0.410872	−	0.110093i	−0.458334	+	0.888780i	$0.651554\pi$
$854$	5.58142	+	9.66730i	0.190992	+	0.330808i
$855$	−3.80385	+	7.60770i	−0.130089	+	0.260178i
$856$	3.60770			0.123308
$857$	−14.0718	+	52.5167i	−0.480683	+	1.79393i	0.118074	+	0.993005i	$0.462328\pi$
$857$	−14.0718	+	52.5167i	−0.480683	+	1.79393i	−0.598758	+	0.800930i	$0.704339\pi$
$858$	16.3923	+	28.3923i	0.559624	+	0.969297i
$859$	8.66025	−	15.0000i	0.295484	−	0.511793i	−0.679613	−	0.733571i	$-0.737852\pi$
$859$	8.66025	−	15.0000i	0.295484	−	0.511793i	0.975097	+	0.221777i	$0.0711857\pi$
$860$	2.19615	+	1.94744i	0.0748882	+	0.0664072i
$861$	0.617314	+	2.30385i	0.0210380	+	0.0785149i
$862$	21.9282	−	5.87564i	0.746878	−	0.200125i
$863$	27.4186	−	27.4186i	0.933339	−	0.933339i	−0.0645735	−	0.997913i	$-0.520569\pi$
$863$	27.4186	−	27.4186i	0.933339	−	0.933339i	0.997913	+	0.0645735i	$0.0205687\pi$
$864$	7.60770	−	28.3923i	0.258819	−	0.965926i
$865$	6.00000	−	2.00000i	0.204006	−	0.0680020i
$866$	−5.39230	+	9.33975i	−0.183238	+	0.317377i
$867$	0.866025	−	1.50000i	0.0294118	−	0.0509427i
$868$	3.37307	−	12.5885i	0.114489	−	0.427280i
$869$	14.1962	+	8.19615i	0.481571	+	0.278035i
$870$	−26.1506	+	29.4904i	−0.886590	+	0.999818i
$871$	−17.1962	−	29.7846i	−0.582669	−	1.00921i
$872$	17.3205	+	17.3205i	0.586546	+	0.586546i
$873$	−5.49038	−	20.4904i	−0.185821	−	0.693494i
$874$	−5.19615	+	3.00000i	−0.175762	+	0.101477i
$875$	33.0622	+	2.71539i	1.11771	+	0.0917969i
$876$	0.679492	+	0.679492i	0.0229579	+	0.0229579i
$877$	−0.464102	+	0.124356i	−0.0156716	+	0.00419919i	−0.266646	−	0.963794i	$-0.585916\pi$
$877$	−0.464102	+	0.124356i	−0.0156716	+	0.00419919i	0.250975	+	0.967994i	$0.419249\pi$
$878$	22.7846	+	22.7846i	0.768943	+	0.768943i
$879$	−26.4904	−	7.09808i	−0.893498	−	0.239412i
$880$	−9.85641	−	14.9282i	−0.332259	−	0.503230i
$881$		−	15.9282i		−	0.536635i	−0.963331	−	0.268317i	$-0.913532\pi$
$881$		−	15.9282i		−	0.536635i	0.963331	−	0.268317i	$-0.0864676\pi$
$882$	−7.39230	+	1.98076i	−0.248912	+	0.0666957i
$883$	−12.4186	+	12.4186i	−0.417919	+	0.417919i	−0.884486	−	0.466567i	$-0.845491\pi$
$883$	−12.4186	+	12.4186i	−0.417919	+	0.417919i	0.466567	+	0.884486i	$0.345491\pi$
$884$		−	56.7846i		−	1.90987i
$885$	21.1244	−	42.2487i	0.710087	−	1.42017i
$886$	−23.4115			−0.786526
$887$	39.4186	−	10.5622i	1.32355	−	0.354643i	0.473241	−	0.880933i	$-0.343084\pi$
$887$	39.4186	−	10.5622i	1.32355	−	0.354643i	0.850305	+	0.526290i	$0.176417\pi$
$888$	−22.3923	+	38.7846i	−0.751437	+	1.30153i
$889$	40.3301	−	23.2846i	1.35263	−	0.780941i
$890$	−30.7583	+	34.6865i	−1.03102	+	1.16270i
$891$	−18.0000			−0.603023
$892$	5.05256	+	18.8564i	0.169172	+	0.631359i
$893$	1.90192	−	7.09808i	0.0636455	−	0.237528i
$894$	12.1244	−	12.1244i	0.405499	−	0.405499i
$895$	26.8564	−	17.7321i	0.897711	−	0.592717i
$896$	−33.5692			−1.12147
$897$	−38.7846			−1.29498
$898$	3.21539	+	12.0000i	0.107299	+	0.400445i
$899$			15.8038i			0.527088i
$900$	24.0000	−	18.0000i	0.800000	−	0.600000i
$901$			31.1769i			1.03865i
$902$	1.26795	−	0.339746i	0.0422181	−	0.0113123i
$903$	−1.68653	−	2.92116i	−0.0561243	−	0.0972102i
$904$	−9.46410	+	16.3923i	−0.314771	+	0.545200i
$905$	−5.59808	+	3.69615i	−0.186086	+	0.122864i
$906$	37.8564	−	10.1436i	1.25769	−	0.336998i
$907$	15.5263	−	57.9449i	0.515542	−	1.92403i	0.170925	−	0.985284i	$-0.445324\pi$
$907$	15.5263	−	57.9449i	0.515542	−	1.92403i	0.344616	−	0.938744i	$-0.388009\pi$
$908$	36.5885	−	9.80385i	1.21423	−	0.325352i
$909$	3.00000	−	5.19615i	0.0995037	−	0.172345i
$910$	46.9808	+	41.6603i	1.55740	+	1.38102i
$911$	−2.49038	+	1.43782i	−0.0825100	+	0.0476372i	−0.540687	−	0.841224i	$-0.681836\pi$
$911$	−2.49038	+	1.43782i	−0.0825100	+	0.0476372i	0.458177	+	0.888861i	$0.348502\pi$
$912$	7.60770	−	4.39230i	0.251916	−	0.145444i
$913$	−19.9282	+	5.33975i	−0.659527	+	0.176720i
$914$		−	6.39230i		−	0.211439i
$915$	5.67691	+	8.59808i	0.187673	+	0.284244i
$916$			36.9282i			1.22014i
$917$	38.1769	−	38.1769i	1.26071	−	1.26071i
$918$	27.0000	+	15.5885i	0.891133	+	0.514496i
$919$			9.80385i			0.323399i	0.986840	+	0.161700i	$0.0516975\pi$
$919$			9.80385i			0.323399i	−0.986840	+	0.161700i	$0.948302\pi$
$920$	21.1244	−	1.26795i	0.696449	−	0.0418030i
$921$	8.00962	+	29.8923i	0.263926	+	0.984985i
$922$	17.5885	−	17.5885i	0.579245	−	0.579245i
$923$	77.5692	−	20.7846i	2.55322	−	0.684134i
$924$	5.32051	+	19.8564i	0.175032	+	0.653228i
$925$	−42.4186	+	17.0263i	−1.39471	+	0.559821i
$926$	15.1962	+	26.3205i	0.499377	+	0.864946i
$927$	28.1769	+	28.1769i	0.925451	+	0.925451i
$928$	39.3205	−	10.5359i	1.29076	−	0.345858i
$929$	−8.19615	−	14.1962i	−0.268907	−	0.465761i	0.699673	−	0.714463i	$-0.253329\pi$
$929$	−8.19615	−	14.1962i	−0.268907	−	0.465761i	−0.968580	+	0.248703i	$0.919996\pi$
$930$	2.41154	−	11.7846i	0.0790776	−	0.386433i
$931$	−1.98076	−	1.14359i	−0.0649169	−	0.0374798i
$932$	4.48334	−	16.7321i	0.146857	−	0.548077i
$933$	3.29423	+	5.70577i	0.107848	+	0.186799i
$934$	−50.9090	−	29.3923i	−1.66579	−	0.961746i
$935$	18.0000	−	6.00000i	0.588663	−	0.196221i
$936$	56.7846			1.85606
$937$	26.5885	−	26.5885i	0.868607	−	0.868607i	−0.123711	−	0.992318i	$-0.539480\pi$
$937$	26.5885	−	26.5885i	0.868607	−	0.868607i	0.992318	+	0.123711i	$0.0394796\pi$
$938$	−5.58142	−	20.8301i	−0.182240	−	0.680128i
$939$	−35.6603	+	35.6603i	−1.16373	+	1.16373i
$940$	−17.1962	+	19.3923i	−0.560877	+	0.632507i
$941$	9.59808	−	16.6244i	0.312888	−	0.541939i	−0.666098	−	0.745864i	$-0.732037\pi$
$941$	9.59808	−	16.6244i	0.312888	−	0.541939i	0.978986	+	0.203926i	$0.0653701\pi$
$942$			31.1769i			1.01580i
$943$	−0.401924	+	1.50000i	−0.0130884	+	0.0488467i
$944$	−42.2487	+	24.3923i	−1.37508	+	0.793902i
$945$	−32.7058	+	10.9019i	−1.06392	+	0.354640i
$946$	−1.60770	+	0.928203i	−0.0522707	+	0.0301785i
$947$	30.1865	+	8.08846i	0.980931	+	0.262840i	0.713436	−	0.700720i	$-0.247138\pi$
$947$	30.1865	+	8.08846i	0.980931	+	0.262840i	0.267494	+	0.963559i	$0.413804\pi$
$948$	24.5885	−	14.1962i	0.798596	−	0.461070i
$949$	−0.928203	+	1.60770i	−0.0301308	+	0.0521880i
$950$	8.87564	+	1.26795i	0.287964	+	0.0411377i
$951$	17.3205	+	17.3205i	0.561656	+	0.561656i
$952$	9.21539	−	34.3923i	0.298673	−	1.11466i
$953$	−11.0718	+	11.0718i	−0.358651	+	0.358651i	−0.863315	−	0.504665i	$-0.831616\pi$
$953$	−11.0718	+	11.0718i	−0.358651	+	0.358651i	0.504665	+	0.863315i	$0.331616\pi$
$954$	−31.1769			−1.00939
$955$	25.1769	+	12.5885i	0.814706	+	0.407353i
$956$		−	10.1436i		−	0.328067i
$957$	−12.4641	−	21.5885i	−0.402907	−	0.697856i
$958$	3.12436	−	3.12436i	0.100943	−	0.100943i
$959$	−5.32051	+	9.21539i	−0.171808	+	0.297580i
$960$	−30.9282	+	1.85641i	−0.998203	+	0.0599153i
$961$	13.0885	+	22.6699i	0.422208	+	0.731286i
$962$	−83.5692	−	22.3923i	−2.69438	−	0.721957i
$963$	−3.69615	−	0.990381i	−0.119107	−	0.0319146i
$964$	−50.5692	−	29.1962i	−1.62872	−	0.940345i
$965$	−23.6603	−	20.9808i	−0.761651	−	0.675395i
$966$	−23.4904	−	6.29423i	−0.755791	−	0.202513i
$967$	9.03590	+	33.7224i	0.290575	+	1.08444i	0.944668	+	0.328027i	$0.106384\pi$
$967$	9.03590	+	33.7224i	0.290575	+	1.08444i	−0.654094	+	0.756414i	$0.726950\pi$
$968$	−19.1244	+	5.12436i	−0.614680	+	0.164703i
$969$	2.41154	+	9.00000i	0.0774699	+	0.289122i
$970$	−18.6603	+	12.3205i	−0.599145	+	0.395588i
$971$	40.1962			1.28996			0.644978	−	0.764201i	$-0.276867\pi$
$971$	40.1962			1.28996			0.644978	+	0.764201i	$0.276867\pi$
$972$	−15.5885	+	27.0000i	−0.500000	+	0.866025i
$973$	14.5359	−	14.5359i	0.466000	−	0.466000i
$974$	−30.1244	−	17.3923i	−0.965247	−	0.557285i
$975$	45.5885	+	35.7846i	1.46000	+	1.14602i
$976$		−	10.6410i		−	0.340611i
$977$	−7.26795	+	1.94744i	−0.232522	+	0.0623042i	−0.373199	−	0.927751i	$-0.621739\pi$
$977$	−7.26795	+	1.94744i	−0.232522	+	0.0623042i	0.140676	+	0.990056i	$0.455072\pi$
$978$	0.803848	+	1.39230i	0.0257042	+	0.0445210i
$979$	−14.6603	−	25.3923i	−0.468544	−	0.811542i
$980$	4.44486	+	6.73205i	0.141986	+	0.215047i
$981$	−12.9904	−	22.5000i	−0.414751	−	0.718370i
$982$	−22.9282	−	6.14359i	−0.731668	−	0.196050i
$983$	17.4282	+	4.66987i	0.555873	+	0.148946i	0.525810	−	0.850602i	$-0.323762\pi$
$983$	17.4282	+	4.66987i	0.555873	+	0.148946i	0.0300636	+	0.999548i	$0.490429\pi$
$984$	0.588457	−	2.19615i	0.0187593	−	0.0700108i
$985$	−37.1769	−	7.60770i	−1.18455	−	0.242401i
$986$			43.1769i			1.37503i
$987$	25.7942	−	14.8923i	0.821039	−	0.474027i
$988$	12.0000	+	12.0000i	0.381771	+	0.381771i
$989$		−	2.19615i		−	0.0698336i
$990$	6.00000	+	18.0000i	0.190693	+	0.572078i
$991$	−0.196152			−0.00623099			−0.00311549	−	0.999995i	$-0.500992\pi$
$991$	−0.196152			−0.00623099			−0.00311549	+	0.999995i	$0.500992\pi$
$992$	−8.78461	+	8.78461i	−0.278912	+	0.278912i
$993$	−52.9808			−1.68129
$994$	50.3538			1.59713
$995$	11.5622	−	7.63397i	0.366546	−	0.242013i
$996$	−9.24871	+	34.5167i	−0.293057	+	1.09370i
$997$	−8.36603	+	31.2224i	−0.264955	+	0.988824i	0.697323	+	0.716757i	$0.254374\pi$
$997$	−8.36603	+	31.2224i	−0.264955	+	0.988824i	−0.962278	+	0.272068i	$0.912293\pi$
$998$	20.1962	+	5.41154i	0.639298	+	0.171299i
$999$	33.5885	−	33.5885i	1.06269	−	1.06269i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	360.2.br.c.293.1	yes	4
5.2	odd	4		360.2.br.d.77.1	yes	4
8.5	even	2		360.2.br.b.293.1	yes	4
9.2	odd	6		360.2.br.a.173.1	yes	4
40.37	odd	4		360.2.br.a.77.1	✓	4
45.2	even	12		360.2.br.b.317.1	yes	4
72.29	odd	6		360.2.br.d.173.1	yes	4
360.317	even	12	inner	360.2.br.c.317.1	yes	4

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
360.2.br.a.77.1	✓	4	40.37	odd	4
360.2.br.a.173.1	yes	4	9.2	odd	6
360.2.br.b.293.1	yes	4	8.5	even	2
360.2.br.b.317.1	yes	4	45.2	even	12
360.2.br.c.293.1	yes	4	1.1	even	1	trivial
360.2.br.c.317.1	yes	4	360.317	even	12	inner
360.2.br.d.77.1	yes	4	5.2	odd	4
360.2.br.d.173.1	yes	4	72.29	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:	\( N \)	\(=\)	\( 360 = 2^{3} \cdot 3^{2} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	360.br (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.366025 + 1.36603i) q^{2} +(-1.50000 - 0.866025i) q^{3} +(-1.73205 + 1.00000i) q^{4} +(-1.23205 - 1.86603i) q^{5} +(0.633975 - 2.36603i) q^{6} +(2.86603 + 0.767949i) q^{7} +(-2.00000 - 2.00000i) q^{8} +(1.50000 + 2.59808i) q^{9} +O(q^{10})\)	\(q+(0.366025 + 1.36603i) q^{2} +(-1.50000 - 0.866025i) q^{3} +(-1.73205 + 1.00000i) q^{4} +(-1.23205 - 1.86603i) q^{5} +(0.633975 - 2.36603i) q^{6} +(2.86603 + 0.767949i) q^{7} +(-2.00000 - 2.00000i) q^{8} +(1.50000 + 2.59808i) q^{9} +(2.09808 - 2.36603i) q^{10} +(1.00000 + 1.73205i) q^{11} +3.46410 q^{12} +(1.73205 + 6.46410i) q^{13} +4.19615i q^{14} +(0.232051 + 3.86603i) q^{15} +(2.00000 - 3.46410i) q^{16} +(3.00000 + 3.00000i) q^{17} +(-3.00000 + 3.00000i) q^{18} -1.26795 q^{19} +(4.00000 + 2.00000i) q^{20} +(-3.63397 - 3.63397i) q^{21} +(-2.00000 + 2.00000i) q^{22} +(-0.866025 - 3.23205i) q^{23} +(1.26795 + 4.73205i) q^{24} +(-1.96410 + 4.59808i) q^{25} +(-8.19615 + 4.73205i) q^{26} -5.19615i q^{27} +(-5.73205 + 1.53590i) q^{28} +(6.23205 - 3.59808i) q^{29} +(-5.19615 + 1.73205i) q^{30} +(-1.09808 + 1.90192i) q^{31} +(5.46410 + 1.46410i) q^{32} -3.46410i q^{33} +(-3.00000 + 5.19615i) q^{34} +(-2.09808 - 6.29423i) q^{35} +(-5.19615 - 3.00000i) q^{36} +(6.46410 + 6.46410i) q^{37} +(-0.464102 - 1.73205i) q^{38} +(3.00000 - 11.1962i) q^{39} +(-1.26795 + 6.19615i) q^{40} +(-0.401924 - 0.232051i) q^{41} +(3.63397 - 6.29423i) q^{42} +(0.633975 + 0.169873i) q^{43} +(-3.46410 - 2.00000i) q^{44} +(3.00000 - 6.00000i) q^{45} +(4.09808 - 2.36603i) q^{46} +(-1.50000 + 5.59808i) q^{47} +(-6.00000 + 3.46410i) q^{48} +(1.56218 + 0.901924i) q^{49} +(-7.00000 - 1.00000i) q^{50} +(-1.90192 - 7.09808i) q^{51} +(-9.46410 - 9.46410i) q^{52} +(5.19615 + 5.19615i) q^{53} +(7.09808 - 1.90192i) q^{54} +(2.00000 - 4.00000i) q^{55} +(-4.19615 - 7.26795i) q^{56} +(1.90192 + 1.09808i) q^{57} +(7.19615 + 7.19615i) q^{58} +(-10.5622 - 6.09808i) q^{59} +(-4.26795 - 6.46410i) q^{60} +(2.30385 - 1.33013i) q^{61} +(-3.00000 - 0.803848i) q^{62} +(2.30385 + 8.59808i) q^{63} +8.00000i q^{64} +(9.92820 - 11.1962i) q^{65} +(4.73205 - 1.26795i) q^{66} +(-4.96410 + 1.33013i) q^{67} +(-8.19615 - 2.19615i) q^{68} +(-1.50000 + 5.59808i) q^{69} +(7.83013 - 5.16987i) q^{70} -12.0000i q^{71} +(2.19615 - 8.19615i) q^{72} +(0.196152 + 0.196152i) q^{73} +(-6.46410 + 11.1962i) q^{74} +(6.92820 - 5.19615i) q^{75} +(2.19615 - 1.26795i) q^{76} +(1.53590 + 5.73205i) q^{77} +16.3923 q^{78} +(7.09808 - 4.09808i) q^{79} +(-8.92820 + 0.535898i) q^{80} +(-4.50000 + 7.79423i) q^{81} +(0.169873 - 0.633975i) q^{82} +(-2.66987 + 9.96410i) q^{83} +(9.92820 + 2.66025i) q^{84} +(1.90192 - 9.29423i) q^{85} +0.928203i q^{86} -12.4641 q^{87} +(1.46410 - 5.46410i) q^{88} -14.6603 q^{89} +(9.29423 + 1.90192i) q^{90} +19.8564i q^{91} +(4.73205 + 4.73205i) q^{92} +(3.29423 - 1.90192i) q^{93} -8.19615 q^{94} +(1.56218 + 2.36603i) q^{95} +(-6.92820 - 6.92820i) q^{96} +(-6.83013 - 1.83013i) q^{97} +(-0.660254 + 2.46410i) q^{98} +(-3.00000 + 5.19615i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 4 q - 2 q^{2} - 6 q^{3} + 2 q^{5} + 6 q^{6} + 8 q^{7} - 8 q^{8} + 6 q^{9}+O(q^{10}) \) 4 * q - 2 * q^2 - 6 * q^3 + 2 * q^5 + 6 * q^6 + 8 * q^7 - 8 * q^8 + 6 * q^9	\( 4 q - 2 q^{2} - 6 q^{3} + 2 q^{5} + 6 q^{6} + 8 q^{7} - 8 q^{8} + 6 q^{9} - 2 q^{10} + 4 q^{11} - 6 q^{15} + 8 q^{16} + 12 q^{17} - 12 q^{18} - 12 q^{19} + 16 q^{20} - 18 q^{21} - 8 q^{22} + 12 q^{24} + 6 q^{25} - 12 q^{26} - 16 q^{28} + 18 q^{29} + 6 q^{31} + 8 q^{32} - 12 q^{34} + 2 q^{35} + 12 q^{37} + 12 q^{38} + 12 q^{39} - 12 q^{40} - 12 q^{41} + 18 q^{42} + 6 q^{43} + 12 q^{45} + 6 q^{46} - 6 q^{47} - 24 q^{48} - 18 q^{49} - 28 q^{50} - 18 q^{51} - 24 q^{52} + 18 q^{54} + 8 q^{55} + 4 q^{56} + 18 q^{57} + 8 q^{58} - 18 q^{59} - 24 q^{60} + 30 q^{61} - 12 q^{62} + 30 q^{63} + 12 q^{65} + 12 q^{66} - 6 q^{67} - 12 q^{68} - 6 q^{69} + 14 q^{70} - 12 q^{72} - 20 q^{73} - 12 q^{74} - 12 q^{76} + 20 q^{77} + 24 q^{78} + 18 q^{79} - 8 q^{80} - 18 q^{81} + 18 q^{82} - 28 q^{83} + 12 q^{84} + 18 q^{85} - 36 q^{87} - 8 q^{88} - 24 q^{89} + 6 q^{90} + 12 q^{92} - 18 q^{93} - 12 q^{94} - 18 q^{95} - 10 q^{97} + 32 q^{98} - 12 q^{99}+O(q^{100}) \) 4 * q - 2 * q^2 - 6 * q^3 + 2 * q^5 + 6 * q^6 + 8 * q^7 - 8 * q^8 + 6 * q^9 - 2 * q^10 + 4 * q^11 - 6 * q^15 + 8 * q^16 + 12 * q^17 - 12 * q^18 - 12 * q^19 + 16 * q^20 - 18 * q^21 - 8 * q^22 + 12 * q^24 + 6 * q^25 - 12 * q^26 - 16 * q^28 + 18 * q^29 + 6 * q^31 + 8 * q^32 - 12 * q^34 + 2 * q^35 + 12 * q^37 + 12 * q^38 + 12 * q^39 - 12 * q^40 - 12 * q^41 + 18 * q^42 + 6 * q^43 + 12 * q^45 + 6 * q^46 - 6 * q^47 - 24 * q^48 - 18 * q^49 - 28 * q^50 - 18 * q^51 - 24 * q^52 + 18 * q^54 + 8 * q^55 + 4 * q^56 + 18 * q^57 + 8 * q^58 - 18 * q^59 - 24 * q^60 + 30 * q^61 - 12 * q^62 + 30 * q^63 + 12 * q^65 + 12 * q^66 - 6 * q^67 - 12 * q^68 - 6 * q^69 + 14 * q^70 - 12 * q^72 - 20 * q^73 - 12 * q^74 - 12 * q^76 + 20 * q^77 + 24 * q^78 + 18 * q^79 - 8 * q^80 - 18 * q^81 + 18 * q^82 - 28 * q^83 + 12 * q^84 + 18 * q^85 - 36 * q^87 - 8 * q^88 - 24 * q^89 + 6 * q^90 + 12 * q^92 - 18 * q^93 - 12 * q^94 - 18 * q^95 - 10 * q^97 + 32 * q^98 - 12 * q^99

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