LMFDB - Embedded newform 360.2.br.d.77.1

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			77.1
Root			$-0.866025 + 0.500000i$ of defining polynomial
Character	$\chi$	$=$	360.77
Dual form			360.2.br.d.173.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.36603 + 0.366025i) q^{2} +(-0.866025 + 1.50000i) q^{3} +(1.73205 - 1.00000i) q^{4} +(2.23205 + 0.133975i) q^{5} +(0.633975 - 2.36603i) q^{6} +(-0.767949 + 2.86603i) q^{7} +(-2.00000 + 2.00000i) q^{8} +(-1.50000 - 2.59808i) q^{9} +O(q^{10})$	\(q+(-1.36603 + 0.366025i) q^{2} +(-0.866025 + 1.50000i) q^{3} +(1.73205 - 1.00000i) q^{4} +(2.23205 + 0.133975i) q^{5} +(0.633975 - 2.36603i) q^{6} +(-0.767949 + 2.86603i) q^{7} +(-2.00000 + 2.00000i) q^{8} +(-1.50000 - 2.59808i) q^{9} +(-3.09808 + 0.633975i) q^{10} +(1.00000 + 1.73205i) q^{11} +3.46410i q^{12} +(6.46410 - 1.73205i) q^{13} -4.19615i q^{14} +(-2.13397 + 3.23205i) 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} +(-3.23205 + 0.866025i) q^{23} +(-1.26795 - 4.73205i) q^{24} +(4.96410 + 0.598076i) q^{25} +(-8.19615 + 4.73205i) q^{26} +5.19615 q^{27} +(1.53590 + 5.73205i) q^{28} +(-6.23205 + 3.59808i) q^{29} +(1.73205 - 5.19615i) q^{30} +(-1.09808 + 1.90192i) q^{31} +(-1.46410 + 5.46410i) q^{32} -3.46410 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} +(-1.73205 + 0.464102i) q^{38} +(-3.00000 + 11.1962i) q^{39} +(-4.73205 + 4.19615i) q^{40} +(-0.401924 - 0.232051i) q^{41} +(6.29423 + 3.63397i) q^{42} +(0.169873 - 0.633975i) q^{43} +(3.46410 + 2.00000i) q^{44} +(-3.00000 - 6.00000i) q^{45} +(4.09808 - 2.36603i) q^{46} +(-5.59808 - 1.50000i) q^{47} +(3.46410 + 6.00000i) 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} +(-1.09808 + 1.90192i) q^{57} +(7.19615 - 7.19615i) q^{58} +(10.5622 + 6.09808i) q^{59} +(-0.464102 + 7.73205i) q^{60} +(2.30385 - 1.33013i) q^{61} +(0.803848 - 3.00000i) q^{62} +(8.59808 - 2.30385i) q^{63} -8.00000i q^{64} +(14.6603 - 3.00000i) q^{65} +(4.73205 - 1.26795i) q^{66} +(-1.33013 - 4.96410i) q^{67} +(-2.19615 + 8.19615i) q^{68} +(1.50000 - 5.59808i) q^{69} +(0.562178 - 9.36603i) q^{70} -12.0000i q^{71} +(8.19615 + 2.19615i) q^{72} +(0.196152 - 0.196152i) q^{73} +(6.46410 - 11.1962i) q^{74} +(-5.19615 + 6.92820i) q^{75} +(2.19615 - 1.26795i) q^{76} +(-5.73205 + 1.53590i) q^{77} -16.3923i q^{78} +(-7.09808 + 4.09808i) q^{79} +(4.92820 - 7.46410i) q^{80} +(-4.50000 + 7.79423i) q^{81} +(0.633975 + 0.169873i) q^{82} +(9.96410 + 2.66987i) q^{83} +(-9.92820 - 2.66025i) q^{84} +(-7.09808 + 6.29423i) q^{85} +0.928203i q^{86} -12.4641i q^{87} +(-5.46410 - 1.46410i) q^{88} +14.6603 q^{89} +(6.29423 + 7.09808i) q^{90} +19.8564i q^{91} +(-4.73205 + 4.73205i) q^{92} +(-1.90192 - 3.29423i) q^{93} +8.19615 q^{94} +(2.83013 + 0.169873i) q^{95} +(-6.92820 - 6.92820i) q^{96} +(1.83013 - 6.83013i) q^{97} +(2.46410 + 0.660254i) q^{98} +(3.00000 - 5.19615i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 4 q - 2 q^{2} + 2 q^{5} + 6 q^{6} - 10 q^{7} - 8 q^{8} - 6 q^{9}+O(q^{10}) $ 4 * q - 2 * q^2 + 2 * q^5 + 6 * q^6 - 10 * q^7 - 8 * q^8 - 6 * q^9	$ 4 q - 2 q^{2} + 2 q^{5} + 6 q^{6} - 10 q^{7} - 8 q^{8} - 6 q^{9} - 2 q^{10} + 4 q^{11} + 12 q^{13} - 12 q^{15} + 8 q^{16} - 12 q^{17} + 12 q^{18} + 12 q^{19} + 16 q^{20} - 18 q^{21} - 8 q^{22} - 6 q^{23} - 12 q^{24} + 6 q^{25} - 12 q^{26} + 20 q^{28} - 18 q^{29} + 6 q^{31} + 8 q^{32} + 12 q^{34} + 2 q^{35} - 12 q^{37} - 12 q^{39} - 12 q^{40} - 12 q^{41} - 6 q^{42} + 18 q^{43} - 12 q^{45} + 6 q^{46} - 12 q^{47} + 18 q^{49} - 28 q^{50} - 18 q^{51} + 24 q^{52} - 18 q^{54} + 8 q^{55} + 4 q^{56} + 6 q^{57} + 8 q^{58} + 18 q^{59} + 12 q^{60} + 30 q^{61} + 24 q^{62} + 24 q^{63} + 24 q^{65} + 12 q^{66} + 12 q^{67} + 12 q^{68} + 6 q^{69} - 22 q^{70} + 12 q^{72} - 20 q^{73} + 12 q^{74} - 12 q^{76} - 16 q^{77} - 18 q^{79} - 8 q^{80} - 18 q^{81} + 6 q^{82} + 26 q^{83} - 12 q^{84} - 18 q^{85} - 8 q^{88} + 24 q^{89} - 6 q^{90} - 12 q^{92} - 18 q^{93} + 12 q^{94} - 6 q^{95} - 10 q^{97} - 4 q^{98} + 12 q^{99}+O(q^{100}) $ 4 * q - 2 * q^2 + 2 * q^5 + 6 * q^6 - 10 * q^7 - 8 * q^8 - 6 * q^9 - 2 * q^10 + 4 * q^11 + 12 * q^13 - 12 * q^15 + 8 * q^16 - 12 * q^17 + 12 * q^18 + 12 * q^19 + 16 * q^20 - 18 * q^21 - 8 * q^22 - 6 * q^23 - 12 * q^24 + 6 * q^25 - 12 * q^26 + 20 * q^28 - 18 * q^29 + 6 * q^31 + 8 * q^32 + 12 * q^34 + 2 * q^35 - 12 * q^37 - 12 * q^39 - 12 * q^40 - 12 * q^41 - 6 * q^42 + 18 * q^43 - 12 * q^45 + 6 * q^46 - 12 * q^47 + 18 * q^49 - 28 * q^50 - 18 * q^51 + 24 * q^52 - 18 * q^54 + 8 * q^55 + 4 * q^56 + 6 * q^57 + 8 * q^58 + 18 * q^59 + 12 * q^60 + 30 * q^61 + 24 * q^62 + 24 * q^63 + 24 * q^65 + 12 * q^66 + 12 * q^67 + 12 * q^68 + 6 * q^69 - 22 * q^70 + 12 * q^72 - 20 * q^73 + 12 * q^74 - 12 * q^76 - 16 * q^77 - 18 * q^79 - 8 * q^80 - 18 * q^81 + 6 * q^82 + 26 * q^83 - 12 * q^84 - 18 * q^85 - 8 * q^88 + 24 * q^89 - 6 * q^90 - 12 * q^92 - 18 * q^93 + 12 * q^94 - 6 * q^95 - 10 * q^97 - 4 * q^98 + 12 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

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 $

$2$	−1.36603	+	0.366025i	−0.965926	+	0.258819i
$2$	−1.36603	+	0.366025i	−0.965926	+	0.258819i
$3$	−0.866025	+	1.50000i	−0.500000	+	0.866025i
$3$	−0.866025	+	1.50000i	−0.500000	+	0.866025i
$4$	1.73205	−	1.00000i	0.866025	−	0.500000i
$5$	2.23205	+	0.133975i	0.998203	+	0.0599153i
$5$	2.23205	+	0.133975i	0.998203	+	0.0599153i
$6$	0.633975	−	2.36603i	0.258819	−	0.965926i
$7$	−0.767949	+	2.86603i	−0.290258	+	1.08326i	0.654654	+	0.755929i	$0.272814\pi$
$7$	−0.767949	+	2.86603i	−0.290258	+	1.08326i	−0.944911	+	0.327327i	$0.893852\pi$
$8$	−2.00000	+	2.00000i	−0.707107	+	0.707107i
$9$	−1.50000	−	2.59808i	−0.500000	−	0.866025i
$10$	−3.09808	+	0.633975i	−0.979698	+	0.200480i
$11$	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	$0.735842\pi$
$12$			3.46410i			1.00000i
$13$	6.46410	−	1.73205i	1.79282	−	0.480384i	0.799999	−	0.600001i	$-0.204833\pi$
$13$	6.46410	−	1.73205i	1.79282	−	0.480384i	0.992820	+	0.119617i	$0.0381666\pi$
$14$		−	4.19615i		−	1.12147i
$15$	−2.13397	+	3.23205i	−0.550990	+	0.834512i
$16$	2.00000	−	3.46410i	0.500000	−	0.866025i
$17$	−3.00000	+	3.00000i	−0.727607	+	0.727607i	−0.970143	−	0.242536i	$-0.922021\pi$
$17$	−3.00000	+	3.00000i	−0.727607	+	0.727607i	0.242536	+	0.970143i	$0.422021\pi$
$18$	3.00000	+	3.00000i	0.707107	+	0.707107i
$19$	1.26795			0.290887			0.145444	−	0.989367i	$-0.453539\pi$
$19$	1.26795			0.290887			0.145444	+	0.989367i	$0.453539\pi$
$20$	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
$23$	−3.23205	+	0.866025i	−0.673929	+	0.180579i	−0.579524	−	0.814955i	$-0.696762\pi$
$23$	−3.23205	+	0.866025i	−0.673929	+	0.180579i	−0.0944051	+	0.995534i	$0.530095\pi$
$24$	−1.26795	−	4.73205i	−0.258819	−	0.965926i
$25$	4.96410	+	0.598076i	0.992820	+	0.119615i
$26$	−8.19615	+	4.73205i	−1.60740	+	0.928032i
$27$	5.19615			1.00000
$28$	1.53590	+	5.73205i	0.290258	+	1.08326i
$29$	−6.23205	+	3.59808i	−1.15726	+	0.668146i	−0.950646	−	0.310276i	$-0.899579\pi$
$29$	−6.23205	+	3.59808i	−1.15726	+	0.668146i	−0.206616	+	0.978422i	$0.566245\pi$
$30$	1.73205	−	5.19615i	0.316228	−	0.948683i
$31$	−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	$0.229858\pi$
$32$	−1.46410	+	5.46410i	−0.258819	+	0.965926i
$33$	−3.46410			−0.603023
$34$	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	−0.0647930	+	0.997899i	$0.520639\pi$
$37$	−6.46410	+	6.46410i	−1.06269	+	1.06269i	−0.997899	+	0.0647930i	$0.979361\pi$
$38$	−1.73205	+	0.464102i	−0.280976	+	0.0752872i
$39$	−3.00000	+	11.1962i	−0.480384	+	1.79282i
$40$	−4.73205	+	4.19615i	−0.748203	+	0.663470i
$41$	−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	$0.678205\pi$
$42$	6.29423	+	3.63397i	0.971221	+	0.560734i
$43$	0.169873	−	0.633975i	0.0259054	−	0.0966802i	−0.951763	−	0.306835i	$-0.900730\pi$
$43$	0.169873	−	0.633975i	0.0259054	−	0.0966802i	0.977668	+	0.210155i	$0.0673967\pi$
$44$	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
$47$	−5.59808	−	1.50000i	−0.816563	−	0.218797i	−0.173720	−	0.984795i	$-0.555579\pi$
$47$	−5.59808	−	1.50000i	−0.816563	−	0.218797i	−0.642843	+	0.765998i	$0.722245\pi$
$48$	3.46410	+	6.00000i	0.500000	+	0.866025i
$49$	−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	−0.253570	−	0.967317i	$-0.581605\pi$
$53$	5.19615	−	5.19615i	0.713746	−	0.713746i	0.967317	+	0.253570i	$0.0816050\pi$
$54$	−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
$57$	−1.09808	+	1.90192i	−0.145444	+	0.251916i
$58$	7.19615	−	7.19615i	0.944901	−	0.944901i
$59$	10.5622	+	6.09808i	1.37508	+	0.793902i	0.991562	−	0.129632i	$-0.0413797\pi$
$59$	10.5622	+	6.09808i	1.37508	+	0.793902i	0.383516	+	0.923534i	$0.374713\pi$
$60$	−0.464102	+	7.73205i	−0.0599153	+	0.998203i
$61$	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	$0.278858\pi$
$62$	0.803848	−	3.00000i	0.102089	−	0.381000i
$63$	8.59808	−	2.30385i	1.08326	−	0.290258i
$64$		−	8.00000i		−	1.00000i
$65$	14.6603	−	3.00000i	1.81838	−	0.372104i
$66$	4.73205	−	1.26795i	0.582475	−	0.156074i
$67$	−1.33013	−	4.96410i	−0.162501	−	0.606462i	−0.998346	−	0.0574958i	$-0.981688\pi$
$67$	−1.33013	−	4.96410i	−0.162501	−	0.606462i	0.835845	−	0.548966i	$-0.184978\pi$
$68$	−2.19615	+	8.19615i	−0.266323	+	0.993929i
$69$	1.50000	−	5.59808i	0.180579	−	0.673929i
$70$	0.562178	−	9.36603i	0.0671931	−	1.11945i
$71$		−	12.0000i		−	1.42414i	−0.702109	−	0.712069i	$-0.747758\pi$
$71$		−	12.0000i		−	1.42414i	0.702109	−	0.712069i	$-0.252242\pi$
$72$	8.19615	+	2.19615i	0.965926	+	0.258819i
$73$	0.196152	−	0.196152i	0.0229579	−	0.0229579i	−0.695535	−	0.718493i	$-0.744832\pi$
$73$	0.196152	−	0.196152i	0.0229579	−	0.0229579i	0.718493	+	0.695535i	$0.244832\pi$
$74$	6.46410	−	11.1962i	0.751437	−	1.30153i
$75$	−5.19615	+	6.92820i	−0.600000	+	0.800000i
$76$	2.19615	−	1.26795i	0.251916	−	0.145444i
$77$	−5.73205	+	1.53590i	−0.653228	+	0.175032i
$78$		−	16.3923i		−	1.85606i
$79$	−7.09808	+	4.09808i	−0.798596	+	0.461070i	−0.842980	−	0.537945i	$-0.819201\pi$
$79$	−7.09808	+	4.09808i	−0.798596	+	0.461070i	0.0443840	+	0.999015i	$0.485867\pi$
$80$	4.92820	−	7.46410i	0.550990	−	0.834512i
$81$	−4.50000	+	7.79423i	−0.500000	+	0.866025i
$82$	0.633975	+	0.169873i	0.0700108	+	0.0187593i
$83$	9.96410	+	2.66987i	1.09370	+	0.293057i	0.760198	−	0.649692i	$-0.225102\pi$
$83$	9.96410	+	2.66987i	1.09370	+	0.293057i	0.333505	+	0.942748i	$0.391769\pi$
$84$	−9.92820	−	2.66025i	−1.08326	−	0.290258i
$85$	−7.09808	+	6.29423i	−0.769894	+	0.682705i
$86$			0.928203i			0.100091i
$87$		−	12.4641i		−	1.33629i
$88$	−5.46410	−	1.46410i	−0.582475	−	0.156074i
$89$	14.6603			1.55398			0.776992	−	0.629511i	$-0.216745\pi$
$89$	14.6603			1.55398			0.776992	+	0.629511i	$0.216745\pi$
$90$	6.29423	+	7.09808i	0.663470	+	0.748203i
$91$			19.8564i			2.08152i
$92$	−4.73205	+	4.73205i	−0.493350	+	0.493350i
$93$	−1.90192	−	3.29423i	−0.197220	−	0.341596i
$94$	8.19615			0.845369
$95$	2.83013	+	0.169873i	0.290365	+	0.0174286i
$96$	−6.92820	−	6.92820i	−0.707107	−	0.707107i
$97$	1.83013	−	6.83013i	0.185821	−	0.693494i	−0.808632	−	0.588315i	$-0.799792\pi$
$97$	1.83013	−	6.83013i	0.185821	−	0.693494i	0.994453	−	0.105180i	$-0.0335417\pi$
$98$	2.46410	+	0.660254i	0.248912	+	0.0666957i
$99$	3.00000	−	5.19615i	0.301511	−	0.522233i
$100$	9.19615	−	3.92820i	0.919615	−	0.392820i
$101$	−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	$0.865059\pi$
$102$	5.19615	+	9.00000i	0.514496	+	0.891133i
$103$	−3.43782	−	12.8301i	−0.338739	−	1.26419i	−0.899759	−	0.436388i	$-0.856258\pi$
$103$	−3.43782	−	12.8301i	−0.338739	−	1.26419i	0.561020	−	0.827802i	$-0.310409\pi$
$104$	−9.46410	+	16.3923i	−0.928032	+	1.60740i
$105$	−7.62436	−	8.59808i	−0.744061	−	0.839086i
$106$	−5.19615	+	9.00000i	−0.504695	+	0.874157i
$107$	−0.901924	−	0.901924i	−0.0871923	−	0.0871923i	0.662165	−	0.749358i	$-0.269638\pi$
$107$	−0.901924	−	0.901924i	−0.0871923	−	0.0871923i	−0.749358	+	0.662165i	$0.769638\pi$
$108$	9.00000	−	5.19615i	0.866025	−	0.500000i
$109$	8.66025			0.829502			0.414751	−	0.909935i	$-0.363869\pi$
$109$	8.66025			0.829502			0.414751	+	0.909935i	$0.363869\pi$
$110$	−4.19615	−	4.73205i	−0.400087	−	0.451183i
$111$	−4.09808	−	15.2942i	−0.388972	−	1.45166i
$112$	8.39230	+	8.39230i	0.792998	+	0.792998i
$113$	−6.46410	+	1.73205i	−0.608092	+	0.162938i	−0.549708	−	0.835357i	$-0.685261\pi$
$113$	−6.46410	+	1.73205i	−0.608092	+	0.162938i	−0.0583831	+	0.998294i	$0.518595\pi$
$114$	0.803848	−	3.00000i	0.0752872	−	0.280976i
$115$	−7.33013	+	1.50000i	−0.683538	+	0.139876i
$116$	−7.19615	+	12.4641i	−0.668146	+	1.15726i
$117$	−14.1962	−	14.1962i	−1.31243	−	1.31243i
$118$	−16.6603	−	4.46410i	−1.53370	−	0.410954i
$119$	−6.29423	−	10.9019i	−0.576991	−	0.999378i
$120$	−2.19615	−	10.7321i	−0.200480	−	0.979698i
$121$	3.50000	−	6.06218i	0.318182	−	0.551107i
$122$	−2.66025	+	2.66025i	−0.240848	+	0.240848i
$123$	0.696152	−	0.401924i	0.0627700	−	0.0362402i
$124$			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	0.999886	−	0.0150911i	$-0.00480383\pi$
$127$	11.0981	+	11.0981i	0.984795	+	0.984795i	−0.0150911	+	0.999886i	$0.504804\pi$
$128$	2.92820	+	10.9282i	0.258819	+	0.965926i
$129$	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	$-0.125811\pi$
$132$	−6.00000	+	3.46410i	−0.522233	+	0.301511i
$133$	−0.973721	+	3.63397i	−0.0844323	+	0.315106i
$134$	3.63397	+	6.29423i	0.313928	+	0.543739i
$135$	11.5981	+	0.696152i	0.998203	+	0.0599153i
$136$		−	12.0000i		−	1.02899i
$137$	−3.46410	−	0.928203i	−0.295958	−	0.0793018i	0.107785	−	0.994174i	$-0.465624\pi$
$137$	−3.46410	−	0.928203i	−0.295958	−	0.0793018i	−0.403743	+	0.914873i	$0.632291\pi$
$138$			8.19615i			0.697703i
$139$	−3.46410	+	6.00000i	−0.293821	+	0.508913i	−0.974710	−	0.223474i	$-0.928260\pi$
$139$	−3.46410	+	6.00000i	−0.293821	+	0.508913i	0.680889	+	0.732387i	$0.261594\pi$
$140$	2.66025	+	13.0000i	0.224833	+	1.09870i
$141$	7.09808	−	7.09808i	0.597766	−	0.597766i
$142$	4.39230	+	16.3923i	0.368594	+	1.37561i
$143$	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
$147$	2.70577	−	1.56218i	0.223168	−	0.128846i
$148$	−4.73205	+	17.6603i	−0.388972	+	1.45166i
$149$	−6.06218	−	3.50000i	−0.496633	−	0.286731i	0.230689	−	0.973028i	$-0.425902\pi$
$149$	−6.06218	−	3.50000i	−0.496633	−	0.286731i	−0.727322	+	0.686296i	$0.759235\pi$
$150$	4.56218	−	11.3660i	0.372500	−	0.928032i
$151$	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
$153$	12.2942	+	3.29423i	0.993929	+	0.266323i
$154$	7.26795	−	4.19615i	0.585668	−	0.338136i
$155$	−2.70577	+	4.09808i	−0.217333	+	0.329165i
$156$	6.00000	+	22.3923i	0.480384	+	1.79282i
$157$	−3.29423	−	12.2942i	−0.262908	−	0.981186i	−0.963518	−	0.267642i	$-0.913756\pi$
$157$	−3.29423	−	12.2942i	−0.262908	−	0.981186i	0.700610	−	0.713544i	$-0.252911\pi$
$158$	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
$162$	3.29423	−	12.2942i	0.258819	−	0.965926i
$163$	0.464102	+	0.464102i	0.0363512	+	0.0363512i	0.725049	−	0.688698i	$-0.241817\pi$
$163$	0.464102	+	0.464102i	0.0363512	+	0.0363512i	−0.688698	+	0.725049i	$0.741817\pi$
$164$	−0.928203			−0.0724805
$165$	−7.73205	−	0.464102i	−0.601939	−	0.0361303i
$166$	−14.5885			−1.13228
$167$	−2.89230	−	10.7942i	−0.223813	−	0.835282i	−0.982876	−	0.184266i	$-0.941009\pi$
$167$	−2.89230	−	10.7942i	−0.223813	−	0.835282i	0.759063	−	0.651017i	$-0.225657\pi$
$168$	14.5359			1.12147
$169$	27.5263	−	15.8923i	2.11741	−	1.22248i
$170$	7.39230	−	11.1962i	0.566964	−	0.858706i
$171$	−1.90192	−	3.29423i	−0.145444	−	0.251916i
$172$	−0.339746	−	1.26795i	−0.0259054	−	0.0966802i
$173$	2.73205	+	0.732051i	0.207714	+	0.0556568i	0.361176	−	0.932498i	$-0.382375\pi$
$173$	2.73205	+	0.732051i	0.207714	+	0.0556568i	−0.153462	+	0.988155i	$0.549042\pi$
$174$	4.56218	+	17.0263i	0.345858	+	1.29076i
$175$	−5.52628	+	13.7679i	−0.417747	+	1.04076i
$176$	8.00000			0.603023
$177$	−18.2942	+	10.5622i	−1.37508	+	0.793902i
$178$	−20.0263	+	5.36603i	−1.50103	+	0.402201i
$179$		−	14.3923i		−	1.07573i	−0.843031	−	0.537866i	$-0.819231\pi$
$179$		−	14.3923i		−	1.07573i	0.843031	−	0.537866i	$-0.180769\pi$
$180$	−11.1962	−	7.39230i	−0.834512	−	0.550990i
$181$		−	3.00000i		−	0.222988i	−0.993765	−	0.111494i	$-0.964436\pi$
$181$		−	3.00000i		−	0.222988i	0.993765	−	0.111494i	$-0.0355636\pi$
$182$	−7.26795	−	27.1244i	−0.538736	−	2.01059i
$183$			4.60770i			0.340611i
$184$	4.73205	−	8.19615i	0.348851	−	0.604228i
$185$	−15.2942	+	13.5622i	−1.12445	+	0.997111i
$186$	3.80385	+	3.80385i	0.278912	+	0.278912i
$187$	−8.19615	−	2.19615i	−0.599362	−	0.160599i
$188$	−11.1962	+	3.00000i	−0.816563	+	0.218797i
$189$	−3.99038	+	14.8923i	−0.290258	+	1.08326i
$190$	−3.92820	+	0.803848i	−0.284982	+	0.0583172i
$191$	−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	$0.483849\pi$
$192$	12.0000	+	6.92820i	0.866025	+	0.500000i
$193$	−3.66025	−	13.6603i	−0.263471	−	0.983287i	−0.963180	−	0.268858i	$-0.913354\pi$
$193$	−3.66025	−	13.6603i	−0.263471	−	0.983287i	0.699709	−	0.714428i	$-0.253313\pi$
$194$			10.0000i			0.717958i
$195$	−8.19615	+	24.5885i	−0.586939	+	1.76082i
$196$	−3.60770			−0.257693
$197$	12.0000	+	12.0000i	0.854965	+	0.854965i	0.990740	−	0.135775i	$-0.0433525\pi$
$197$	12.0000	+	12.0000i	0.854965	+	0.854965i	−0.135775	+	0.990740i	$0.543352\pi$
$198$	−2.19615	+	8.19615i	−0.156074	+	0.582475i
$199$		−	6.19615i		−	0.439234i	−0.975586	−	0.219617i	$-0.929519\pi$
$199$		−	6.19615i		−	0.439234i	0.975586	−	0.219617i	$-0.0704807\pi$
$200$	−11.1244	+	8.73205i	−0.786611	+	0.617449i
$201$	8.59808	+	2.30385i	0.606462	+	0.162501i
$202$	2.00000	+	2.00000i	0.140720	+	0.140720i
$203$	−5.52628	−	20.6244i	−0.387869	−	1.44755i
$204$	−10.3923	−	10.3923i	−0.727607	−	0.727607i
$205$	−0.866025	−	0.571797i	−0.0604858	−	0.0399360i
$206$	9.39230	+	16.2679i	0.654393	+	1.13344i
$207$	7.09808	+	7.09808i	0.493350	+	0.493350i
$208$	6.92820	−	25.8564i	0.480384	−	1.79282i
$209$	1.26795	+	2.19615i	0.0877059	+	0.151911i
$210$	13.5622	+	8.95448i	0.935879	+	0.617918i
$211$		0			0		0.500000	−	0.866025i	$-0.333333\pi$
$211$		0			0		−0.500000	+	0.866025i	$0.666667\pi$
$212$	3.80385	−	14.1962i	0.261249	−	0.974996i
$213$	18.0000	+	10.3923i	1.23334	+	0.712069i
$214$	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
$218$	−11.8301	+	3.16987i	−0.801237	+	0.214691i
$219$	0.124356	+	0.464102i	0.00840318	+	0.0313611i
$220$	7.46410	+	4.92820i	0.503230	+	0.332259i
$221$	−14.1962	+	24.5885i	−0.954937	+	1.65400i
$222$	11.1962	+	19.3923i	0.751437	+	1.30153i
$223$	−9.42820	−	2.52628i	−0.631359	−	0.169172i	−0.0710728	−	0.997471i	$-0.522642\pi$
$223$	−9.42820	−	2.52628i	−0.631359	−	0.169172i	−0.560286	+	0.828299i	$0.689309\pi$
$224$	−14.5359	−	8.39230i	−0.971221	−	0.560734i
$225$	−5.89230	−	13.7942i	−0.392820	−	0.919615i
$226$	8.19615	−	4.73205i	0.545200	−	0.314771i
$227$	4.90192	−	18.2942i	0.325352	−	1.21423i	−0.588605	−	0.808421i	$-0.700323\pi$
$227$	4.90192	−	18.2942i	0.325352	−	1.21423i	0.913957	−	0.405810i	$-0.133011\pi$
$228$			4.39230i			0.290887i
$229$	−9.23205	+	15.9904i	−0.610071	+	1.05667i	0.381157	+	0.924510i	$0.375526\pi$
$229$	−9.23205	+	15.9904i	−0.610071	+	1.05667i	−0.991228	+	0.132164i	$0.957808\pi$
$230$	9.46410	−	4.73205i	0.624044	−	0.312022i
$231$	2.66025	−	9.92820i	0.175032	−	0.653228i
$232$	5.26795	−	19.6603i	0.345858	−	1.29076i
$233$	6.12436	+	6.12436i	0.401220	+	0.401220i	0.878663	−	0.477443i	$-0.158436\pi$
$233$	6.12436	+	6.12436i	0.401220	+	0.401220i	−0.477443	+	0.878663i	$0.658436\pi$
$234$	24.5885	+	14.1962i	1.60740	+	0.928032i
$235$	−12.2942	−	4.09808i	−0.801987	−	0.267329i
$236$	24.3923			1.58780
$237$		−	14.1962i		−	0.922139i
$238$	12.5885	+	12.5885i	0.815988	+	0.815988i
$239$	2.53590	−	4.39230i	0.164034	−	0.284115i	−0.772278	−	0.635285i	$-0.780883\pi$
$239$	2.53590	−	4.39230i	0.164034	−	0.284115i	0.936312	+	0.351170i	$0.114216\pi$
$240$	6.92820	+	13.8564i	0.447214	+	0.894427i
$241$	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	$0.443836\pi$
$242$	−2.56218	+	9.56218i	−0.164703	+	0.614680i
$243$	−7.79423	−	13.5000i	−0.500000	−	0.866025i
$244$	2.66025	−	4.60770i	0.170305	−	0.294977i
$245$	−3.36603	−	2.22243i	−0.215047	−	0.141986i
$246$	−0.803848	+	0.803848i	−0.0512514	+	0.0512514i
$247$	8.19615	−	2.19615i	0.521509	−	0.139738i
$248$	−1.60770	−	6.00000i	−0.102089	−	0.381000i
$249$	−12.6340	+	12.6340i	−0.800646	+	0.800646i
$250$	−15.7583	+	1.29423i	−0.996644	+	0.0818542i
$251$	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
$255$	−3.29423	−	16.0981i	−0.206293	−	1.00810i
$256$	−8.00000	−	13.8564i	−0.500000	−	0.866025i
$257$	6.75833	+	25.2224i	0.421573	+	1.57333i	0.771295	+	0.636478i	$0.219610\pi$
$257$	6.75833	+	25.2224i	0.421573	+	1.57333i	−0.349721	+	0.936854i	$0.613724\pi$
$258$	−1.39230	−	0.803848i	−0.0866811	−	0.0500454i
$259$	−13.5622	−	23.4904i	−0.842713	−	1.45962i
$260$	22.3923	−	19.8564i	1.38871	−	1.23144i
$261$	18.6962	+	10.7942i	1.15726	+	0.668146i
$262$	−6.66025	+	24.8564i	−0.411472	+	1.53563i
$263$	1.43782	−	5.36603i	0.0886599	−	0.330883i	−0.907322	−	0.420436i	$-0.861877\pi$
$263$	1.43782	−	5.36603i	0.0886599	−	0.330883i	0.995982	+	0.0895528i	$0.0285438\pi$
$264$	6.92820	−	6.92820i	0.426401	−	0.426401i
$265$	12.2942	−	10.9019i	0.755228	−	0.669700i
$266$		−	5.32051i		−	0.326221i
$267$	−12.6962	+	21.9904i	−0.776992	+	1.34579i
$268$	−7.26795	−	7.26795i	−0.443961	−	0.443961i
$269$		−	1.00000i		−	0.0609711i	−0.999535	−	0.0304855i	$-0.990295\pi$
$269$		−	1.00000i		−	0.0609711i	0.999535	−	0.0304855i	$-0.00970535\pi$
$270$	−16.0981	+	3.29423i	−0.979698	+	0.200480i
$271$	−26.5885			−1.61513			−0.807567	−	0.589776i	$-0.799216\pi$
$271$	−26.5885			−1.61513			−0.807567	+	0.589776i	$0.799216\pi$
$272$	4.39230	+	16.3923i	0.266323	+	0.993929i
$273$	−29.7846	−	17.1962i	−1.80265	−	1.04076i
$274$	5.07180			0.306398
$275$	3.92820	+	9.19615i	0.236880	+	0.554549i
$276$	−3.00000	−	11.1962i	−0.180579	−	0.673929i
$277$	0.633975	+	0.169873i	0.0380918	+	0.0102067i	0.277815	−	0.960635i	$-0.410390\pi$
$277$	0.633975	+	0.169873i	0.0380918	+	0.0102067i	−0.239723	+	0.970841i	$0.577057\pi$
$278$	2.53590	−	9.46410i	0.152093	−	0.567619i
$279$	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	$0.175746\pi$
$282$	−7.09808	+	12.2942i	−0.422684	+	0.732111i
$283$	−16.7942	+	4.50000i	−0.998313	+	0.267497i	−0.720739	−	0.693207i	$-0.756197\pi$
$283$	−16.7942	+	4.50000i	−0.998313	+	0.267497i	−0.277575	+	0.960704i	$0.589531\pi$
$284$	−12.0000	−	20.7846i	−0.712069	−	1.23334i
$285$	−2.70577	+	4.09808i	−0.160276	+	0.242749i
$286$	−16.3923	−	9.46410i	−0.969297	−	0.559624i
$287$	0.973721	−	0.973721i	0.0574769	−	0.0574769i
$288$	16.3923	−	4.39230i	0.965926	−	0.258819i
$289$		−	1.00000i		−	0.0588235i
$290$	17.0263	−	15.0981i	0.999818	−	0.886590i
$291$	8.66025	+	8.66025i	0.507673	+	0.507673i
$292$	0.143594	−	0.535898i	0.00840318	−	0.0313611i
$293$	−4.09808	−	15.2942i	−0.239412	−	0.893498i	−0.976110	−	0.217276i	$-0.930283\pi$
$293$	−4.09808	−	15.2942i	−0.239412	−	0.893498i	0.736698	−	0.676222i	$-0.236384\pi$
$294$	−3.12436	+	3.12436i	−0.182216	+	0.182216i
$295$	22.7583	+	15.0263i	1.32504	+	0.874864i
$296$		−	25.8564i		−	1.50287i
$297$	5.19615	+	9.00000i	0.301511	+	0.522233i
$298$	9.56218	+	2.56218i	0.553922	+	0.148423i
$299$	−19.3923	+	11.1962i	−1.12149	+	0.647490i
$300$	−2.07180	+	17.1962i	−0.119615	+	0.992820i
$301$	1.68653	+	0.973721i	0.0972102	+	0.0561243i
$302$	−16.0000	−	16.0000i	−0.920697	−	0.920697i
$303$	3.46410			0.199007
$304$	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	$-0.579695\pi$
$307$	12.6340	−	12.6340i	0.721059	−	0.721059i	0.968821	+	0.247762i	$0.0796951\pi$
$308$	−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	$0.701063\pi$
$312$	−16.3923	−	28.3923i	−0.928032	−	1.60740i
$313$	−28.1244	−	7.53590i	−1.58968	−	0.425954i	−0.647776	−	0.761830i	$-0.724301\pi$
$313$	−28.1244	−	7.53590i	−1.58968	−	0.425954i	−0.941906	+	0.335876i	$0.890968\pi$
$314$	9.00000	+	15.5885i	0.507899	+	0.879708i
$315$	19.5000	−	3.99038i	1.09870	−	0.224833i
$316$	−8.19615	+	14.1962i	−0.461070	+	0.798596i
$317$	3.66025	−	13.6603i	0.205580	−	0.767236i	−0.783692	−	0.621150i	$-0.786666\pi$
$317$	3.66025	−	13.6603i	0.205580	−	0.767236i	0.989272	−	0.146086i	$-0.0466677\pi$
$318$	−9.00000	−	15.5885i	−0.504695	−	0.874157i
$319$	−12.4641	−	7.19615i	−0.697856	−	0.402907i
$320$	1.07180	−	17.8564i	0.0599153	−	0.998203i
$321$	2.13397	−	0.571797i	0.119107	−	0.0319146i
$322$	3.63397	+	13.5622i	0.202513	+	0.755791i
$323$	−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
$327$	−7.50000	+	12.9904i	−0.414751	+	0.718370i
$328$	1.26795	−	0.339746i	0.0700108	−	0.0187593i
$329$	8.59808	−	14.8923i	0.474027	−	0.821039i
$330$	10.7321	−	2.19615i	0.590780	−	0.120894i
$331$	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	$0.0155084\pi$
$332$	19.9282	−	5.33975i	1.09370	−	0.293057i
$333$	26.4904	+	7.09808i	1.45166	+	0.388972i
$334$	7.90192	+	13.6865i	0.432374	+	0.748894i
$335$	−2.30385	−	11.2583i	−0.125873	−	0.615108i
$336$	−19.8564	+	5.32051i	−1.08326	+	0.290258i
$337$	13.9282	−	3.73205i	0.758718	−	0.203298i	0.141336	−	0.989962i	$-0.454860\pi$
$337$	13.9282	−	3.73205i	0.758718	−	0.203298i	0.617381	+	0.786664i	$0.288194\pi$
$338$	−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
$345$	4.09808	−	12.2942i	0.220633	−	0.661899i
$346$	−4.00000			−0.215041
$347$	7.09808	−	1.90192i	0.381045	−	0.102101i	−0.0632121	−	0.998000i	$-0.520134\pi$
$347$	7.09808	−	1.90192i	0.381045	−	0.102101i	0.444257	+	0.895899i	$0.353468\pi$
$348$	−12.4641	−	21.5885i	−0.668146	−	1.15726i
$349$	14.7679	+	25.5788i	0.790510	+	1.36920i	0.925651	+	0.378377i	$0.123518\pi$
$349$	14.7679	+	25.5788i	0.790510	+	1.36920i	−0.135141	+	0.990826i	$0.543149\pi$
$350$	2.50962	−	20.8301i	0.134145	−	1.11342i
$351$	33.5885	−	9.00000i	1.79282	−	0.480384i
$352$	−10.9282	+	2.92820i	−0.582475	+	0.156074i
$353$	−0.928203	+	3.46410i	−0.0494033	+	0.184376i	−0.986218	−	0.165450i	$-0.947092\pi$
$353$	−0.928203	+	3.46410i	−0.0494033	+	0.184376i	0.936815	+	0.349825i	$0.113759\pi$
$354$	21.1244	−	21.1244i	1.12275	−	1.12275i
$355$	1.60770	−	26.7846i	0.0853276	−	1.42158i
$356$	25.3923	−	14.6603i	1.34579	−	0.776992i
$357$	21.8038			1.15398
$358$	5.26795	+	19.6603i	0.278420	+	1.03908i
$359$	−8.19615			−0.432576			−0.216288	−	0.976330i	$-0.569395\pi$
$359$	−8.19615			−0.432576			−0.216288	+	0.976330i	$0.569395\pi$
$360$	18.0000	+	6.00000i	0.948683	+	0.316228i
$361$	−17.3923			−0.915384
$362$	1.09808	+	4.09808i	0.0577136	+	0.215390i
$363$	6.06218	+	10.5000i	0.318182	+	0.551107i
$364$	19.8564	+	34.3923i	1.04076	+	1.80265i
$365$	0.464102	−	0.411543i	0.0242922	−	0.0215411i
$366$	−1.68653	−	6.29423i	−0.0881565	−	0.329005i
$367$	2.56218	−	9.56218i	0.133745	−	0.499142i	−0.866255	−	0.499602i	$-0.833480\pi$
$367$	2.56218	−	9.56218i	0.133745	−	0.499142i	1.00000		0.000459976i	$0.000146415\pi$
$368$	−3.46410	+	12.9282i	−0.180579	+	0.673929i
$369$			1.39230i			0.0724805i
$370$	15.9282	−	24.1244i	0.828068	−	1.25417i
$371$	10.9019	+	18.8827i	0.566000	+	0.980340i
$372$	−6.58846	−	3.80385i	−0.341596	−	0.197220i
$373$	−20.0263	+	5.36603i	−1.03692	+	0.277842i	−0.736837	−	0.676070i	$-0.763682\pi$
$373$	−20.0263	+	5.36603i	−1.03692	+	0.277842i	−0.300084	+	0.953913i	$0.597015\pi$
$374$	12.0000			0.620505
$375$	−12.5263	+	14.7679i	−0.646854	+	0.762614i
$376$	14.1962	−	8.19615i	0.732111	−	0.422684i
$377$	−34.0526	+	34.0526i	−1.75380	+	1.75380i
$378$		−	21.8038i		−	1.12147i
$379$	−8.87564			−0.455911			−0.227956	−	0.973672i	$-0.573204\pi$
$379$	−8.87564			−0.455911			−0.227956	+	0.973672i	$0.573204\pi$
$380$	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
$383$	19.5622	−	5.24167i	0.999581	−	0.267837i	0.278311	−	0.960491i	$-0.410225\pi$
$383$	19.5622	−	5.24167i	0.999581	−	0.267837i	0.721270	+	0.692654i	$0.243559\pi$
$384$	−18.9282	−	5.07180i	−0.965926	−	0.258819i
$385$	−13.0000	+	2.66025i	−0.662541	+	0.135579i
$386$	10.0000	+	17.3205i	0.508987	+	0.881591i
$387$	−1.90192	+	0.509619i	−0.0966802	+	0.0259054i
$388$	−3.66025	−	13.6603i	−0.185821	−	0.693494i
$389$	2.93782	−	1.69615i	0.148953	−	0.0859983i	−0.423671	−	0.905816i	$-0.639259\pi$
$389$	2.93782	−	1.69615i	0.148953	−	0.0859983i	0.572624	+	0.819818i	$0.305925\pi$
$390$	2.19615	−	36.5885i	0.111207	−	1.85273i
$391$	7.09808	−	12.2942i	0.358965	−	0.621746i
$392$	4.92820	−	1.32051i	0.248912	−	0.0666957i
$393$	15.7583	+	27.2942i	0.794903	+	1.37681i
$394$	−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	$-0.880065\pi$
$397$	−11.1962	+	11.1962i	−0.561919	+	0.561919i	0.367933	+	0.929852i	$0.380065\pi$
$398$	2.26795	+	8.46410i	0.113682	+	0.424267i
$399$	−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	$0.765603\pi$
$402$	−12.5885			−0.627855
$403$	−3.80385	+	14.1962i	−0.189483	+	0.707161i
$404$	−3.46410	−	2.00000i	−0.172345	−	0.0995037i
$405$	−11.0885	+	16.7942i	−0.550990	+	0.834512i
$406$	15.0981	+	26.1506i	0.749305	+	1.29783i
$407$	−17.6603	−	4.73205i	−0.875386	−	0.234559i
$408$	18.0000	+	10.3923i	0.891133	+	0.514496i
$409$	5.19615	+	3.00000i	0.256933	+	0.148340i	0.622935	−	0.782274i	$-0.285940\pi$
$409$	5.19615	+	3.00000i	0.256933	+	0.148340i	−0.366002	+	0.930614i	$0.619274\pi$
$410$	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
$417$	−6.00000	−	10.3923i	−0.293821	−	0.508913i
$418$	−2.53590	−	2.53590i	−0.124035	−	0.124035i
$419$	−7.26795	−	4.19615i	−0.355063	−	0.204995i	0.311850	−	0.950131i	$-0.399051\pi$
$419$	−7.26795	−	4.19615i	−0.355063	−	0.204995i	−0.666913	+	0.745136i	$0.732385\pi$
$420$	−21.8038	−	7.26795i	−1.06392	−	0.354640i
$421$	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
$423$	4.50000	+	16.7942i	0.218797	+	0.816563i
$424$			20.7846i			1.00939i
$425$	−16.6865	+	13.0981i	−0.809416	+	0.635350i
$426$	−28.3923	−	7.60770i	−1.37561	−	0.368594i
$427$	2.04294	+	7.62436i	0.0988648	+	0.368968i
$428$	−2.46410	−	0.660254i	−0.119107	−	0.0319146i
$429$	−22.3923	+	6.00000i	−1.08111	+	0.289683i
$430$	−0.124356	+	2.07180i	−0.00599696	+	0.0999109i
$431$		−	16.0526i		−	0.773225i	−0.922242	−	0.386612i	$-0.873645\pi$
$431$		−	16.0526i		−	0.773225i	0.922242	−	0.386612i	$-0.126355\pi$
$432$	10.3923	−	18.0000i	0.500000	−	0.866025i
$433$	5.39230	−	5.39230i	0.259138	−	0.259138i	−0.565566	−	0.824703i	$-0.691342\pi$
$433$	5.39230	−	5.39230i	0.259138	−	0.259138i	0.824703	+	0.565566i	$0.191342\pi$
$434$	7.98076	+	4.60770i	0.383089	+	0.221176i
$435$	1.66987	−	27.8205i	0.0800643	−	1.33389i
$436$	15.0000	−	8.66025i	0.718370	−	0.414751i
$437$	−4.09808	+	1.09808i	−0.196038	+	0.0525281i
$438$	−0.339746	−	0.588457i	−0.0162337	−	0.0281176i
$439$	−19.7321	+	11.3923i	−0.941759	+	0.543725i	−0.890511	−	0.454961i	$-0.849653\pi$
$439$	−19.7321	+	11.3923i	−0.941759	+	0.543725i	−0.0512480	+	0.998686i	$0.516320\pi$
$440$	−12.0000	−	4.00000i	−0.572078	−	0.190693i
$441$			5.41154i			0.257693i
$442$	10.3923	−	38.7846i	0.494312	−	1.84480i
$443$	15.9904	+	4.28461i	0.759726	+	0.203568i	0.617828	−	0.786313i	$-0.288013\pi$
$443$	15.9904	+	4.28461i	0.759726	+	0.203568i	0.141898	+	0.989881i	$0.454679\pi$
$444$	−22.3923	−	22.3923i	−1.06269	−	1.06269i
$445$	32.7224	+	1.96410i	1.55119	+	0.0931073i
$446$	13.8038			0.653631
$447$	10.5000	−	6.06218i	0.496633	−	0.286731i
$448$	22.9282	+	6.14359i	1.08326	+	0.290258i
$449$	−8.78461			−0.414571			−0.207286	−	0.978280i	$-0.566463\pi$
$449$	−8.78461			−0.414571			−0.207286	+	0.978280i	$0.566463\pi$
$450$	13.0981	+	16.6865i	0.617449	+	0.786611i
$451$		−	0.928203i		−	0.0437074i
$452$	−9.46410	+	9.46410i	−0.445154	+	0.445154i
$453$	−27.7128			−1.30206
$454$			26.7846i			1.25706i
$455$	−2.66025	+	44.3205i	−0.124715	+	2.07778i
$456$	−1.60770	−	6.00000i	−0.0752872	−	0.280976i
$457$	1.16987	−	4.36603i	0.0547243	−	0.204234i	−0.933151	−	0.359486i	$-0.882952\pi$
$457$	1.16987	−	4.36603i	0.0547243	−	0.204234i	0.987875	+	0.155252i	$0.0496188\pi$
$458$	6.75833	−	25.2224i	0.315796	−	1.17857i
$459$	−15.5885	+	15.5885i	−0.727607	+	0.727607i
$460$	−11.1962	+	9.92820i	−0.522023	+	0.462905i
$461$	−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	$0.967661\pi$
$462$			14.5359i			0.676271i
$463$	−5.56218	−	20.7583i	−0.258496	−	0.964721i	−0.966112	−	0.258124i	$-0.916896\pi$
$463$	−5.56218	−	20.7583i	−0.258496	−	0.964721i	0.707616	−	0.706598i	$-0.249771\pi$
$464$			28.7846i			1.33629i
$465$	−3.80385	−	7.60770i	−0.176399	−	0.352798i
$466$	−10.6077	−	6.12436i	−0.491392	−	0.283705i
$467$	−29.3923	−	29.3923i	−1.36011	−	1.36011i	−0.873765	−	0.486349i	$-0.838328\pi$
$467$	−29.3923	−	29.3923i	−1.36011	−	1.36011i	−0.486349	−	0.873765i	$-0.661672\pi$
$468$	−38.7846	−	10.3923i	−1.79282	−	0.480384i
$469$	15.2487			0.704120
$470$	18.2942	+	1.09808i	0.843850	+	0.0506505i
$471$	21.2942	+	5.70577i	0.981186	+	0.262908i
$472$	−33.3205	+	8.92820i	−1.53370	+	0.410954i
$473$	1.26795	−	0.339746i	0.0583004	−	0.0156215i
$474$	5.19615	+	19.3923i	0.238667	+	0.890718i
$475$	6.29423	+	0.758330i	0.288799	+	0.0347946i
$476$	−21.8038	−	12.5885i	−0.999378	−	0.576991i
$477$	−21.2942	−	5.70577i	−0.974996	−	0.261249i
$478$	−1.85641	+	6.92820i	−0.0849101	+	0.316889i
$479$	1.56218	+	2.70577i	0.0713777	+	0.123630i	0.899505	−	0.436910i	$-0.143927\pi$
$479$	1.56218	+	2.70577i	0.0713777	+	0.123630i	−0.828128	+	0.560540i	$0.810594\pi$
$480$	−14.5359	−	16.3923i	−0.663470	−	0.748203i
$481$	−30.5885	+	52.9808i	−1.39471	+	2.41571i
$482$	−29.1962	−	29.1962i	−1.32985	−	1.32985i
$483$	14.8923	+	8.59808i	0.677623	+	0.391226i
$484$		−	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	0.193065	−	0.981186i	$-0.438157\pi$
$487$	−17.3923	−	17.3923i	−0.788121	−	0.788121i	−0.981186	+	0.193065i	$0.938157\pi$
$488$	−1.94744	+	7.26795i	−0.0881565	+	0.329005i
$489$	−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	$0.290309\pi$
$492$	0.803848	−	1.39230i	0.0362402	−	0.0627700i
$493$	7.90192	−	29.4904i	0.355885	−	1.32818i
$494$	−10.3923	+	6.00000i	−0.467572	+	0.269953i
$495$	7.39230	−	11.1962i	0.332259	−	0.503230i
$496$	4.39230	+	7.60770i	0.197220	+	0.341596i
$497$	34.3923	+	9.21539i	1.54271	+	0.413367i
$498$	12.6340	−	21.8827i	0.566142	−	0.980587i
$499$	−7.39230	+	12.8038i	−0.330925	+	0.573179i	−0.982693	−	0.185239i	$-0.940694\pi$
$499$	−7.39230	+	12.8038i	−0.330925	+	0.573179i	0.651768	+	0.758418i	$0.274027\pi$
$500$	21.0526	−	7.53590i	0.941499	−	0.337016i
$501$	18.6962	+	5.00962i	0.835282	+	0.223813i
$502$	−6.26795	+	1.67949i	−0.279752	+	0.0749594i
$503$	23.0263	+	23.0263i	1.02669	+	1.02669i	0.999634	+	0.0270572i	$0.00861362\pi$
$503$	23.0263	+	23.0263i	1.02669	+	1.02669i	0.0270572	+	0.999634i	$0.491386\pi$
$504$	−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
$507$			55.0526i			2.44497i
$508$	30.3205	+	8.12436i	1.34526	+	0.360460i
$509$	20.4282	+	11.7942i	0.905464	+	0.522770i	0.878969	−	0.476879i	$-0.158232\pi$
$509$	20.4282	+	11.7942i	0.905464	+	0.522770i	0.0264952	+	0.999649i	$0.491565\pi$
$510$	10.3923	+	20.7846i	0.460179	+	0.920358i
$511$	0.411543	+	0.712813i	0.0182056	+	0.0315330i
$512$	16.0000	+	16.0000i	0.707107	+	0.707107i
$513$	6.58846			0.290887
$514$	−18.4641	−	31.9808i	−0.814417	−	1.41061i
$515$	−5.95448	−	29.0981i	−0.262386	−	1.28221i
$516$	2.19615	+	0.588457i	0.0966802	+	0.0259054i
$517$	−3.00000	−	11.1962i	−0.131940	−	0.492406i
$518$	27.1244	+	27.1244i	1.19178	+	1.19178i
$519$	−3.46410	+	3.46410i	−0.152057	+	0.152057i
$520$	−23.3205	+	35.3205i	−1.02267	+	1.54891i
$521$			2.66025i			0.116548i	0.998301	+	0.0582739i	$0.0185597\pi$
$521$			2.66025i			0.116548i	−0.998301	+	0.0582739i	$0.981440\pi$
$522$	−29.4904	−	7.90192i	−1.29076	−	0.345858i
$523$	10.5622	+	10.5622i	0.461852	+	0.461852i	0.899262	−	0.437410i	$-0.144104\pi$
$523$	10.5622	+	10.5622i	0.461852	+	0.461852i	−0.437410	+	0.899262i	$0.644104\pi$
$524$		−	36.3923i		−	1.58981i
$525$	−15.8660	−	20.2128i	−0.692450	−	0.882159i
$526$			7.85641i			0.342556i
$527$	−2.41154	−	9.00000i	−0.105048	−	0.392046i
$528$	−6.92820	+	12.0000i	−0.301511	+	0.522233i
$529$	−10.2224	+	5.90192i	−0.444454	+	0.256605i
$530$	−12.8038	+	19.3923i	−0.556164	+	0.842348i
$531$		−	36.5885i		−	1.58780i
$532$	1.94744	+	7.26795i	0.0844323	+	0.315106i
$533$	−3.00000	−	0.803848i	−0.129944	−	0.0348185i
$534$	9.29423	−	34.6865i	0.402201	−	1.50103i
$535$	−1.89230	−	2.13397i	−0.0818115	−	0.0922598i
$536$	12.5885	+	7.26795i	0.543739	+	0.313928i
$537$	21.5885	+	12.4641i	0.931611	+	0.537866i
$538$	0.366025	+	1.36603i	0.0157805	+	0.0588935i
$539$		−	3.60770i		−	0.155394i
$540$	20.7846	−	10.3923i	0.894427	−	0.447214i
$541$			5.53590i			0.238007i	0.992894	+	0.119003i	$0.0379700\pi$
$541$			5.53590i			0.238007i	−0.992894	+	0.119003i	$0.962030\pi$
$542$	36.3205	−	9.73205i	1.56010	−	0.418027i
$543$	4.50000	+	2.59808i	0.193113	+	0.111494i
$544$	−12.0000	−	20.7846i	−0.514496	−	0.891133i
$545$	19.3301	+	1.16025i	0.828012	+	0.0496998i
$546$	46.9808	+	12.5885i	2.01059	+	0.538736i
$547$	43.1147	+	11.5526i	1.84345	+	0.493952i	0.999123	−	0.0418717i	$-0.0133321\pi$
$547$	43.1147	+	11.5526i	1.84345	+	0.493952i	0.844330	+	0.535823i	$0.179999\pi$
$548$	−6.92820	+	1.85641i	−0.295958	+	0.0793018i
$549$	−6.91154	−	3.99038i	−0.294977	−	0.170305i
$550$	−8.73205	−	11.1244i	−0.372336	−	0.474344i
$551$	−7.90192	+	4.56218i	−0.336633	+	0.194355i
$552$	8.19615	+	14.1962i	0.348851	+	0.604228i
$553$	−6.29423	−	23.4904i	−0.267658	−	0.998913i
$554$	−0.928203			−0.0394356
$555$	−7.09808	−	34.6865i	−0.301297	−	1.47236i
$556$			13.8564i			0.587643i
$557$	11.1962	+	11.1962i	0.474396	+	0.474396i	0.903334	−	0.428938i	$-0.141112\pi$
$557$	11.1962	+	11.1962i	0.474396	+	0.474396i	−0.428938	+	0.903334i	$0.641112\pi$
$558$	−9.00000	+	2.41154i	−0.381000	+	0.102089i
$559$		−	4.39230i		−	0.185775i
$560$	17.6077	+	19.8564i	0.744061	+	0.839086i
$561$	10.3923	−	10.3923i	0.438763	−	0.438763i
$562$	−15.9282	+	15.9282i	−0.671891	+	0.671891i
$563$	0.911543	+	3.40192i	0.0384169	+	0.143374i	0.982470	−	0.186418i	$-0.0596880\pi$
$563$	0.911543	+	3.40192i	0.0384169	+	0.143374i	−0.944054	+	0.329792i	$0.893021\pi$
$564$	5.19615	−	19.3923i	0.218797	−	0.816563i
$565$	−14.6603	+	3.00000i	−0.616762	+	0.126211i
$566$	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	0.948003	−	0.318263i	$-0.103099\pi$
$569$	4.73205	+	8.19615i	0.198378	+	0.343601i	−0.749625	+	0.661863i	$0.769766\pi$
$570$	2.19615	−	6.58846i	0.0919867	−	0.275960i
$571$	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	$0.643574\pi$
$572$	25.8564	+	6.92820i	1.08111	+	0.289683i
$573$		−	21.8038i		−	0.910869i
$574$	−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	0.309960	−	0.950750i	$-0.399684\pi$
$577$	−15.3923	−	15.3923i	−0.640790	−	0.640790i	−0.950750	+	0.309960i	$0.899684\pi$
$578$	0.366025	+	1.36603i	0.0152246	+	0.0568192i
$579$	23.6603	+	6.33975i	0.983287	+	0.263471i
$580$	−17.7321	+	26.8564i	−0.736283	+	1.11515i
$581$	−15.3038	+	26.5070i	−0.634911	+	1.09970i
$582$	−15.0000	−	8.66025i	−0.621770	−	0.358979i
$583$	14.1962	+	3.80385i	0.587945	+	0.157539i
$584$			0.784610i			0.0324674i
$585$	−29.7846	−	33.5885i	−1.23144	−	1.38871i
$586$	11.1962	+	19.3923i	0.462509	+	0.801089i
$587$	−10.6506	+	39.7487i	−0.439599	+	1.64060i	0.290217	+	0.956961i	$0.406273\pi$
$587$	−10.6506	+	39.7487i	−0.439599	+	1.64060i	−0.729816	+	0.683644i	$0.760394\pi$
$588$	3.12436	−	5.41154i	0.128846	−	0.223168i
$589$	−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
$592$	9.46410	+	35.3205i	0.388972	+	1.45166i
$593$	−2.66025	−	2.66025i	−0.109244	−	0.109244i	0.650372	−	0.759616i	$-0.274613\pi$
$593$	−2.66025	−	2.66025i	−0.109244	−	0.109244i	−0.759616	+	0.650372i	$0.774613\pi$
$594$	−10.3923	−	10.3923i	−0.426401	−	0.426401i
$595$	−12.5885	−	25.1769i	−0.516076	−	1.03215i
$596$	−14.0000			−0.573462
$597$	9.29423	+	5.36603i	0.380387	+	0.219617i
$598$	22.3923	−	22.3923i	0.915689	−	0.915689i
$599$	0.294229	−	0.509619i	0.0120219	−	0.0208225i	−0.859952	−	0.510375i	$-0.829507\pi$
$599$	0.294229	−	0.509619i	0.0120219	−	0.0208225i	0.871974	+	0.489553i	$0.162840\pi$
$600$	−3.46410	−	24.2487i	−0.141421	−	0.989949i
$601$	−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	$0.978602\pi$
$602$	−2.66025	−	0.712813i	−0.108424	−	0.0290521i
$603$	−10.9019	+	10.9019i	−0.443961	+	0.443961i
$604$	27.7128	+	16.0000i	1.12762	+	0.651031i
$605$	8.62436	−	13.0622i	0.350630	−	0.531053i
$606$	−4.73205	+	1.26795i	−0.192226	+	0.0515069i
$607$	21.4282	−	5.74167i	0.869744	−	0.233047i	0.203767	−	0.979019i	$-0.434682\pi$
$607$	21.4282	−	5.74167i	0.869744	−	0.233047i	0.665977	+	0.745972i	$0.268015\pi$
$608$	−1.85641	+	6.92820i	−0.0752872	+	0.280976i
$609$	35.7224	+	9.57180i	1.44755	+	0.387869i
$610$	−6.29423	+	5.58142i	−0.254846	+	0.225985i
$611$	−38.7846			−1.56906
$612$	24.5885	−	6.58846i	0.993929	−	0.266323i
$613$	−17.7846	−	17.7846i	−0.718314	−	0.718314i	0.249946	−	0.968260i	$-0.419587\pi$
$613$	−17.7846	−	17.7846i	−0.718314	−	0.718314i	−0.968260	+	0.249946i	$0.919587\pi$
$614$	−12.6340	+	21.8827i	−0.509866	+	0.883113i
$615$	1.60770	−	0.803848i	0.0648285	−	0.0324143i
$616$	8.39230	−	14.5359i	0.338136	−	0.585668i
$617$	−10.0526	−	37.5167i	−0.404701	−	1.51036i	−0.804607	−	0.593808i	$-0.797624\pi$
$617$	−10.0526	−	37.5167i	−0.404701	−	1.51036i	0.399906	−	0.916556i	$-0.369043\pi$
$618$	−32.5359			−1.30879
$619$	−7.09808	−	12.2942i	−0.285296	−	0.494147i	0.687385	−	0.726293i	$-0.258758\pi$
$619$	−7.09808	−	12.2942i	−0.285296	−	0.494147i	−0.972681	+	0.232146i	$0.925425\pi$
$620$	−0.588457	+	9.80385i	−0.0236330	+	0.393732i
$621$	−16.7942	+	4.50000i	−0.673929	+	0.180579i
$622$	5.19615	+	1.39230i	0.208347	+	0.0558263i
$623$	−11.2583	+	42.0167i	−0.451055	+	1.68336i
$624$	32.7846	+	32.7846i	1.31243	+	1.31243i
$625$	24.2846	+	5.93782i	0.971384	+	0.237513i
$626$	41.1769			1.64576
$627$	−4.39230			−0.175412
$628$	−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	$0.616638\pi$
$632$	6.00000	−	22.3923i	0.238667	−	0.890718i
$633$		0			0
$634$			20.0000i			0.794301i
$635$	23.2846	+	26.2583i	0.924022	+	1.04203i
$636$	18.0000	+	18.0000i	0.713746	+	0.713746i
$637$	−11.6603	−	3.12436i	−0.461996	−	0.123791i
$638$	19.6603	+	5.26795i	0.778357	+	0.208560i
$639$	−31.1769	+	18.0000i	−1.23334	+	0.712069i
$640$	5.07180	+	24.7846i	0.200480	+	0.979698i
$641$	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	$0.331979\pi$
$642$	−2.70577	+	1.56218i	−0.106788	+	0.0616542i
$643$	38.0885	−	10.2058i	1.50206	−	0.402476i	0.588272	−	0.808663i	$-0.299808\pi$
$643$	38.0885	−	10.2058i	1.50206	−	0.402476i	0.913790	+	0.406187i	$0.133142\pi$
$644$	−9.92820	−	17.1962i	−0.391226	−	0.677623i
$645$	1.68653	+	1.90192i	0.0664072	+	0.0748882i
$646$	3.80385	−	6.58846i	0.149660	−	0.259219i
$647$	16.6865	−	16.6865i	0.656015	−	0.656015i	−0.298419	−	0.954435i	$-0.596459\pi$
$647$	16.6865	−	16.6865i	0.656015	−	0.656015i	0.954435	+	0.298419i	$0.0964594\pi$
$648$	−6.58846	−	24.5885i	−0.258819	−	0.965926i
$649$			24.3923i			0.957482i
$650$	−43.5167	+	18.5885i	−1.70686	+	0.729099i
$651$	10.9019	−	2.92116i	0.427280	−	0.114489i
$652$	1.26795	+	0.339746i	0.0496567	+	0.0133055i
$653$	0.222432	+	0.830127i	0.00870443	+	0.0324854i	0.970141	−	0.242540i	$-0.0779805\pi$
$653$	0.222432	+	0.830127i	0.00870443	+	0.0324854i	−0.961437	+	0.275025i	$0.911314\pi$
$654$	5.49038	−	20.4904i	0.214691	−	0.801237i
$655$	22.4186	−	33.9545i	0.875967	−	1.32671i
$656$	−1.60770	+	0.928203i	−0.0627700	+	0.0362402i
$657$	−0.803848	−	0.215390i	−0.0313611	−	0.00840318i
$658$	−6.29423	+	23.4904i	−0.245375	+	0.915750i
$659$	7.26795	−	4.19615i	0.283119	−	0.163459i	−0.351716	−	0.936107i	$-0.614402\pi$
$659$	7.26795	−	4.19615i	0.283119	−	0.163459i	0.634835	+	0.772648i	$0.281068\pi$
$660$	−13.8564	+	6.92820i	−0.539360	+	0.269680i
$661$	−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
$663$	−24.5885	−	42.5885i	−0.954937	−	1.65400i
$664$	−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
$672$	25.1769	−	14.5359i	0.971221	−	0.560734i
$673$	47.2487	+	12.6603i	1.82130	+	0.488017i	0.996949	−	0.0780562i	$-0.0248714\pi$
$673$	47.2487	+	12.6603i	1.82130	+	0.488017i	0.824355	+	0.566073i	$0.191538\pi$
$674$	−17.6603	+	10.1962i	−0.680248	+	0.392741i
$675$	25.7942	+	3.10770i	0.992820	+	0.119615i
$676$	31.7846	−	55.0526i	1.22248	−	2.11741i
$677$	−4.67949	+	17.4641i	−0.179847	+	0.671200i	0.815828	+	0.578295i	$0.196282\pi$
$677$	−4.67949	+	17.4641i	−0.179847	+	0.671200i	−0.995675	+	0.0929047i	$0.970385\pi$
$678$			16.3923i			0.629543i
$679$	18.1699	+	10.4904i	0.697296	+	0.402584i
$680$	1.60770	−	26.7846i	0.0616523	−	1.02714i
$681$	23.1962	+	23.1962i	0.888878	+	0.888878i
$682$	6.00000	−	1.60770i	0.229752	−	0.0615618i
$683$	−7.00000	+	7.00000i	−0.267848	+	0.267848i	−0.828232	−	0.560385i	$-0.810653\pi$
$683$	−7.00000	+	7.00000i	−0.267848	+	0.267848i	0.560385	+	0.828232i	$0.310653\pi$
$684$	−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
$687$	−15.9904	−	27.6962i	−0.610071	−	1.05667i
$688$	−1.85641	−	1.85641i	−0.0707748	−	0.0707748i
$689$	24.5885	−	42.5885i	0.936746	−	1.62249i
$690$	−1.09808	+	18.2942i	−0.0418030	+	0.696449i
$691$	−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	$0.641032\pi$
$692$	5.46410	−	1.46410i	0.207714	−	0.0556568i
$693$	12.5885	+	12.5885i	0.478196	+	0.478196i
$694$	−9.00000	+	5.19615i	−0.341635	+	0.197243i
$695$	−8.53590	+	12.9282i	−0.323785	+	0.490395i
$696$	24.9282	+	24.9282i	0.944901	+	0.944901i
$697$	1.90192	−	0.509619i	0.0720405	−	0.0193032i
$698$	−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	$0.573859\pi$
$702$	−42.5885	+	24.5885i	−1.60740	+	0.928032i
$703$	−8.19615	+	8.19615i	−0.309124	+	0.309124i
$704$	13.8564	−	8.00000i	0.522233	−	0.301511i
$705$	16.7942	−	14.8923i	0.632507	−	0.560877i
$706$		−	5.07180i		−	0.190880i
$707$	5.73205	−	1.53590i	0.215576	−	0.0577634i
$708$	−21.1244	+	36.5885i	−0.793902	+	1.37508i
$709$	−23.4282	−	40.5788i	−0.879865	−	1.52397i	−0.851489	−	0.524373i	$-0.824300\pi$
$709$	−23.4282	−	40.5788i	−0.879865	−	1.52397i	−0.0283759	−	0.999597i	$-0.509034\pi$
$710$	7.60770	+	37.1769i	0.285512	+	1.39522i
$711$	21.2942	+	12.2942i	0.798596	+	0.461070i
$712$	−29.3205	+	29.3205i	−1.09883	+	1.09883i
$713$	1.90192	−	7.09808i	0.0712276	−	0.265825i
$714$	−29.7846	+	7.98076i	−1.11466	+	0.298673i
$715$	19.8564	+	22.3923i	0.742587	+	0.837425i
$716$	−14.3923	−	24.9282i	−0.537866	−	0.931611i
$717$	4.39230	+	7.60770i	0.164034	+	0.284115i
$718$	11.1962	−	3.00000i	0.417837	−	0.111959i
$719$	−43.5167			−1.62290			−0.811449	−	0.584424i	$-0.801321\pi$
$719$	−43.5167			−1.62290			−0.811449	+	0.584424i	$0.801321\pi$
$720$	−26.7846	−	1.60770i	−0.998203	−	0.0599153i
$721$	39.4115			1.46776
$722$	23.7583	−	6.36603i	0.884193	−	0.236919i
$723$	−50.5692			−1.88069
$724$	−3.00000	−	5.19615i	−0.111494	−	0.193113i
$725$	−33.0885	+	14.1340i	−1.22887	+	0.524923i
$726$	−12.1244	−	12.1244i	−0.449977	−	0.449977i
$727$	1.13397	−	4.23205i	0.0420568	−	0.156958i	−0.941704	−	0.336442i	$-0.890776\pi$
$727$	1.13397	−	4.23205i	0.0420568	−	0.156958i	0.983761	+	0.179484i	$0.0574429\pi$
$728$	−39.7128	−	39.7128i	−1.47185	−	1.47185i
$729$	27.0000			1.00000
$730$	−0.483340	+	0.732051i	−0.0178892	+	0.0270944i
$731$	1.39230	+	2.41154i	0.0514963	+	0.0891941i
$732$	4.60770	+	7.98076i	0.170305	+	0.294977i
$733$	−5.83013	+	1.56218i	−0.215341	+	0.0577004i	−0.364876	−	0.931056i	$-0.618889\pi$
$733$	−5.83013	+	1.56218i	−0.215341	+	0.0577004i	0.149536	+	0.988756i	$0.452222\pi$
$734$			14.0000i			0.516749i
$735$	6.24871	−	3.12436i	0.230487	−	0.115244i
$736$		−	18.9282i		−	0.697703i
$737$	7.26795	−	7.26795i	0.267718	−	0.267718i
$738$	−0.509619	−	1.90192i	−0.0187593	−	0.0700108i
$739$	19.2679			0.708783			0.354391	−	0.935097i	$-0.384688\pi$
$739$	19.2679			0.708783			0.354391	+	0.935097i	$0.384688\pi$
$740$	−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
$743$	27.8205	−	7.45448i	1.02064	−	0.273478i	0.290569	−	0.956854i	$-0.406156\pi$
$743$	27.8205	−	7.45448i	1.02064	−	0.273478i	0.730067	+	0.683376i	$0.239489\pi$
$744$	10.3923	+	2.78461i	0.381000	+	0.102089i
$745$	−13.0622	−	8.62436i	−0.478561	−	0.315972i
$746$	25.3923	−	14.6603i	0.929678	−	0.536750i
$747$	−8.00962	−	29.8923i	−0.293057	−	1.09370i
$748$	−16.3923	+	4.39230i	−0.599362	+	0.160599i
$749$	3.27757	−	1.89230i	0.119760	−	0.0691433i
$750$	11.7058	−	24.7583i	0.427434	−	0.904046i
$751$	−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
$753$	−3.97372	+	6.88269i	−0.144810	+	0.250819i
$754$	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	$-0.783213\pi$
$757$	−4.05256	+	4.05256i	−0.147293	+	0.147293i	0.629615	+	0.776908i	$0.283213\pi$
$758$	12.1244	−	3.24871i	0.440376	−	0.117999i
$759$	11.1962	−	3.00000i	0.406395	−	0.108893i
$760$	−6.00000	+	5.32051i	−0.217643	+	0.192995i
$761$	−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	$0.886876\pi$
$762$	33.2942	−	19.2224i	1.20612	−	0.696355i
$763$	−6.65064	+	24.8205i	−0.240769	+	0.898563i
$764$	−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
$767$	78.8372	+	21.1244i	2.84665	+	0.762756i
$768$	27.7128			1.00000
$769$	−42.0622	−	24.2846i	−1.51680	−	0.875725i	−0.999805	−	0.0197374i	$-0.993717\pi$
$769$	−42.0622	−	24.2846i	−1.51680	−	0.875725i	−0.516996	−	0.855988i	$-0.672950\pi$
$770$	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	−0.803736	−	0.594986i	$-0.797158\pi$
$773$	−5.80385	+	5.80385i	−0.208750	+	0.208750i	0.594986	+	0.803736i	$0.297158\pi$
$774$	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
$777$	46.9808			1.68543
$778$	−3.39230	+	3.39230i	−0.121620	+	0.121620i
$779$	−0.509619	−	0.294229i	−0.0182590	−	0.0105418i
$780$	10.3923	+	50.7846i	0.372104	+	1.81838i
$781$	20.7846	−	12.0000i	0.743732	−	0.429394i
$782$	−5.19615	+	19.3923i	−0.185814	+	0.693467i
$783$	−32.3827	+	18.6962i	−1.15726	+	0.668146i
$784$	−6.24871	+	3.60770i	−0.223168	+	0.128846i
$785$	−5.70577	−	27.8827i	−0.203648	−	0.995176i
$786$	−31.5167	−	31.5167i	−1.12416	−	1.12416i
$787$	−6.04552	−	22.5622i	−0.215499	−	0.804255i	−0.985990	−	0.166804i	$-0.946655\pi$
$787$	−6.04552	−	22.5622i	−0.215499	−	0.804255i	0.770491	−	0.637451i	$-0.220011\pi$
$788$	32.7846	+	8.78461i	1.16790	+	0.312939i
$789$	6.80385	+	6.80385i	0.242223	+	0.242223i
$790$	19.3923	−	17.1962i	0.689947	−	0.611812i
$791$		−	19.8564i		−	0.706013i
$792$	4.39230	+	16.3923i	0.156074	+	0.582475i
$793$	12.5885	−	12.5885i	0.447029	−	0.447029i
$794$	11.1962	−	19.3923i	0.397337	−	0.688207i
$795$	5.70577	+	27.8827i	0.202363	+	0.988897i
$796$	−6.19615	−	10.7321i	−0.219617	−	0.380387i
$797$	7.92820	−	2.12436i	0.280831	−	0.0752485i	−0.115654	−	0.993290i	$-0.536896\pi$
$797$	7.92820	−	2.12436i	0.280831	−	0.0752485i	0.396485	+	0.918041i	$0.370230\pi$
$798$	7.98076	+	4.60770i	0.282516	+	0.163111i
$799$	21.2942	−	12.2942i	0.753336	−	0.434939i
$800$	−10.5359	+	26.2487i	−0.372500	+	0.928032i
$801$	−21.9904	−	38.0885i	−0.776992	−	1.34579i
$802$	16.7321	+	4.48334i	0.590829	+	0.158312i
$803$	0.535898	+	0.143594i	0.0189114	+	0.00506731i
$804$	17.1962	−	4.60770i	0.606462	−	0.162501i
$805$	1.33013	−	22.1603i	0.0468808	−	0.781046i
$806$		−	20.7846i		−	0.732107i
$807$	1.50000	+	0.866025i	0.0528025	+	0.0304855i
$808$	5.46410	+	1.46410i	0.192226	+	0.0515069i
$809$	−9.71281			−0.341484			−0.170742	−	0.985316i	$-0.554617\pi$
$809$	−9.71281			−0.341484			−0.170742	+	0.985316i	$0.554617\pi$
$810$	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
$813$	23.0263	−	39.8827i	0.807567	−	1.39875i
$814$	25.8564			0.906267
$815$	0.973721	+	1.09808i	0.0341079	+	0.0384639i
$816$	−28.3923	−	7.60770i	−0.993929	−	0.266323i
$817$	0.215390	−	0.803848i	0.00753555	−	0.0281231i
$818$	−8.19615	−	2.19615i	−0.286572	−	0.0767867i
$819$	51.5885	−	29.7846i	1.80265	−	1.04076i
$820$	−2.07180	−	0.124356i	−0.0723503	−	0.00434269i
$821$	−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	$-0.567892\pi$
$822$	−4.39230	+	7.60770i	−0.153199	+	0.265349i
$823$	1.06218	+	3.96410i	0.0370252	+	0.138180i	0.981964	−	0.189066i	$-0.0605461\pi$
$823$	1.06218	+	3.96410i	0.0370252	+	0.138180i	−0.944939	+	0.327246i	$0.893879\pi$
$824$	32.5359	+	18.7846i	1.13344	+	0.654393i
$825$	−17.1962	−	2.07180i	−0.598693	−	0.0721307i
$826$	25.5885	−	44.3205i	0.890336	−	1.54211i
$827$	6.29423	+	6.29423i	0.218872	+	0.218872i	0.808023	−	0.589151i	$-0.200538\pi$
$827$	6.29423	+	6.29423i	0.218872	+	0.218872i	−0.589151	+	0.808023i	$0.700538\pi$
$828$	19.3923	+	5.19615i	0.673929	+	0.180579i
$829$	−13.0526			−0.453334			−0.226667	−	0.973972i	$-0.572783\pi$
$829$	−13.0526			−0.453334			−0.226667	+	0.973972i	$0.572783\pi$
$830$	−32.5622	−	1.95448i	−1.13025	−	0.0678411i
$831$	−0.803848	+	0.803848i	−0.0278852	+	0.0278852i
$832$	−13.8564	−	51.7128i	−0.480384	−	1.79282i
$833$	7.39230	−	1.98076i	0.256128	−	0.0686293i
$834$	12.0000	+	12.0000i	0.415526	+	0.415526i
$835$	−5.00962	−	24.4808i	−0.173365	−	0.847192i
$836$	4.39230	+	2.53590i	0.151911	+	0.0877059i
$837$	−5.70577	+	9.88269i	−0.197220	+	0.341596i
$838$	11.4641	+	3.07180i	0.396021	+	0.106113i
$839$	5.02628	+	8.70577i	0.173526	+	0.300557i	0.939650	−	0.342136i	$-0.111150\pi$
$839$	5.02628	+	8.70577i	0.173526	+	0.300557i	−0.766124	+	0.642693i	$0.777817\pi$
$840$	32.4449	+	1.94744i	1.11945	+	0.0671931i
$841$	11.3923	−	19.7321i	0.392838	−	0.680416i
$842$	−29.3205	+	29.3205i	−1.01045	+	1.01045i
$843$			27.5885i			0.950197i
$844$		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
$848$	−7.60770	−	28.3923i	−0.261249	−	0.974996i
$849$	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
$852$	41.5692			1.42414
$853$	−3.21539	+	12.0000i	−0.110093	+	0.410872i	−0.998873	−	0.0474615i	$-0.984887\pi$
$853$	−3.21539	+	12.0000i	−0.110093	+	0.410872i	0.888780	+	0.458334i	$0.151554\pi$
$854$	−5.58142	−	9.66730i	−0.190992	−	0.330808i
$855$	−3.80385	−	7.60770i	−0.130089	−	0.260178i
$856$	3.60770			0.123308
$857$	−52.5167	−	14.0718i	−1.79393	−	0.480683i	−0.800930	−	0.598758i	$-0.795661\pi$
$857$	−52.5167	−	14.0718i	−1.79393	−	0.480683i	−0.993005	+	0.118074i	$0.962328\pi$
$858$	28.3923	−	16.3923i	0.969297	−	0.559624i
$859$	−8.66025	+	15.0000i	−0.295484	+	0.511793i	−0.975097	−	0.221777i	$-0.928814\pi$
$859$	−8.66025	+	15.0000i	−0.295484	+	0.511793i	0.679613	+	0.733571i	$0.262148\pi$
$860$	−0.588457	−	2.87564i	−0.0200662	−	0.0980587i
$861$	0.617314	+	2.30385i	0.0210380	+	0.0785149i
$862$	5.87564	+	21.9282i	0.200125	+	0.746878i
$863$	−27.4186	−	27.4186i	−0.933339	−	0.933339i	0.0645735	−	0.997913i	$-0.479431\pi$
$863$	−27.4186	−	27.4186i	−0.933339	−	0.933339i	−0.997913	+	0.0645735i	$0.979431\pi$
$864$	−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
$867$	1.50000	+	0.866025i	0.0509427	+	0.0294118i
$868$	−12.5885	−	3.37307i	−0.427280	−	0.114489i
$869$	−14.1962	−	8.19615i	−0.481571	−	0.278035i
$870$	7.90192	+	38.6147i	0.267900	+	1.30916i
$871$	−17.1962	−	29.7846i	−0.582669	−	1.00921i
$872$	−17.3205	+	17.3205i	−0.586546	+	0.586546i
$873$	−20.4904	+	5.49038i	−0.693494	+	0.185821i
$874$	5.19615	−	3.00000i	0.175762	−	0.101477i
$875$	−14.1795	+	29.9904i	−0.479354	+	1.01386i
$876$	0.679492	+	0.679492i	0.0229579	+	0.0229579i
$877$	−0.124356	−	0.464102i	−0.00419919	−	0.0156716i	0.963794	−	0.266646i	$-0.0859156\pi$
$877$	−0.124356	−	0.464102i	−0.00419919	−	0.0156716i	−0.967994	+	0.250975i	$0.919249\pi$
$878$	22.7846	−	22.7846i	0.768943	−	0.768943i
$879$	26.4904	+	7.09808i	0.893498	+	0.239412i
$880$	17.8564	+	1.07180i	0.601939	+	0.0361303i
$881$		−	15.9282i		−	0.536635i	−0.963331	−	0.268317i	$-0.913532\pi$
$881$		−	15.9282i		−	0.536635i	0.963331	−	0.268317i	$-0.0864676\pi$
$882$	−1.98076	−	7.39230i	−0.0666957	−	0.248912i
$883$	12.4186	+	12.4186i	0.417919	+	0.417919i	0.884486	−	0.466567i	$-0.154509\pi$
$883$	12.4186	+	12.4186i	0.417919	+	0.417919i	−0.466567	+	0.884486i	$0.654509\pi$
$884$			56.7846i			1.90987i
$885$	−42.2487	+	21.1244i	−1.42017	+	0.710087i
$886$	−23.4115			−0.786526
$887$	10.5622	+	39.4186i	0.354643	+	1.32355i	0.880933	+	0.473241i	$0.156916\pi$
$887$	10.5622	+	39.4186i	0.354643	+	1.32355i	−0.526290	+	0.850305i	$0.676417\pi$
$888$	38.7846	+	22.3923i	1.30153	+	0.751437i
$889$	−40.3301	+	23.2846i	−1.35263	+	0.780941i
$890$	−45.4186	+	9.29423i	−1.52243	+	0.311543i
$891$	−18.0000			−0.603023
$892$	−18.8564	+	5.05256i	−0.631359	+	0.169172i
$893$	−7.09808	−	1.90192i	−0.237528	−	0.0636455i
$894$	−12.1244	+	12.1244i	−0.405499	+	0.405499i
$895$	1.92820	−	32.1244i	0.0644527	−	1.07380i
$896$	−33.5692			−1.12147
$897$		−	38.7846i		−	1.29498i
$898$	12.0000	−	3.21539i	0.400445	−	0.107299i
$899$		−	15.8038i		−	0.527088i
$900$	−24.0000	−	18.0000i	−0.800000	−	0.600000i
$901$			31.1769i			1.03865i
$902$	0.339746	+	1.26795i	0.0113123	+	0.0422181i
$903$	−2.92116	+	1.68653i	−0.0972102	+	0.0561243i
$904$	9.46410	−	16.3923i	0.314771	−	0.545200i
$905$	0.401924	−	6.69615i	0.0133604	−	0.222588i
$906$	37.8564	−	10.1436i	1.25769	−	0.336998i
$907$	57.9449	+	15.5263i	1.92403	+	0.515542i	0.985284	+	0.170925i	$0.0546757\pi$
$907$	57.9449	+	15.5263i	1.92403	+	0.515542i	0.938744	+	0.344616i	$0.111991\pi$
$908$	−9.80385	−	36.5885i	−0.325352	−	1.21423i
$909$	−3.00000	+	5.19615i	−0.0995037	+	0.172345i
$910$	−12.5885	−	61.5167i	−0.417303	−	2.03926i
$911$	−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	$0.348502\pi$
$912$	4.39230	+	7.60770i	0.145444	+	0.251916i
$913$	5.33975	+	19.9282i	0.176720	+	0.659527i
$914$			6.39230i			0.211439i
$915$	−0.617314	+	10.2846i	−0.0204078	+	0.339999i
$916$			36.9282i			1.22014i
$917$	38.1769	+	38.1769i	1.26071	+	1.26071i
$918$	15.5885	−	27.0000i	0.514496	−	0.891133i
$919$		−	9.80385i		−	0.323399i	−0.986840	−	0.161700i	$-0.948302\pi$
$919$		−	9.80385i		−	0.323399i	0.986840	−	0.161700i	$-0.0516975\pi$
$920$	11.6603	−	17.6603i	0.384427	−	0.582241i
$921$	8.00962	+	29.8923i	0.263926	+	0.984985i
$922$	17.5885	+	17.5885i	0.579245	+	0.579245i
$923$	−20.7846	−	77.5692i	−0.684134	−	2.55322i
$924$	−5.32051	−	19.8564i	−0.175032	−	0.653228i
$925$	−35.9545	+	28.2224i	−1.18218	+	0.927948i
$926$	15.1962	+	26.3205i	0.499377	+	0.864946i
$927$	−28.1769	+	28.1769i	−0.925451	+	0.925451i
$928$	−10.5359	−	39.3205i	−0.345858	−	1.29076i
$929$	8.19615	+	14.1962i	0.268907	+	0.465761i	0.968580	−	0.248703i	$-0.0800042\pi$
$929$	8.19615	+	14.1962i	0.268907	+	0.465761i	−0.699673	+	0.714463i	$0.746671\pi$
$930$	7.98076	+	9.00000i	0.261699	+	0.295122i
$931$	−1.98076	−	1.14359i	−0.0649169	−	0.0374798i
$932$	16.7321	+	4.48334i	0.548077	+	0.146857i
$933$	5.70577	−	3.29423i	0.186799	−	0.107848i
$934$	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	0.992318	−	0.123711i	$-0.0394796\pi$
$937$	26.5885	+	26.5885i	0.868607	+	0.868607i	−0.123711	+	0.992318i	$0.539480\pi$
$938$	−20.8301	+	5.58142i	−0.680128	+	0.182240i
$939$	35.6603	−	35.6603i	1.16373	−	1.16373i
$940$	−25.3923	+	5.19615i	−0.828206	+	0.169480i
$941$	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	$0.0653701\pi$
$942$	−31.1769			−1.01580
$943$	1.50000	+	0.401924i	0.0488467	+	0.0130884i
$944$	42.2487	−	24.3923i	1.37508	−	0.793902i
$945$	−10.9019	+	32.7058i	−0.354640	+	1.06392i
$946$	−1.60770	+	0.928203i	−0.0522707	+	0.0301785i
$947$	−8.08846	+	30.1865i	−0.262840	+	0.980931i	0.700720	+	0.713436i	$0.252862\pi$
$947$	−8.08846	+	30.1865i	−0.262840	+	0.980931i	−0.963559	+	0.267494i	$0.913804\pi$
$948$	−14.1962	−	24.5885i	−0.461070	−	0.798596i
$949$	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
$952$	34.3923	+	9.21539i	1.11466	+	0.298673i
$953$	11.0718	+	11.0718i	0.358651	+	0.358651i	0.863315	−	0.504665i	$-0.168384\pi$
$953$	11.0718	+	11.0718i	0.358651	+	0.358651i	−0.504665	+	0.863315i	$0.668384\pi$
$954$	31.1769			1.00939
$955$	−25.1769	+	12.5885i	−0.814706	+	0.407353i
$956$		−	10.1436i		−	0.328067i
$957$	21.5885	−	12.4641i	0.697856	−	0.402907i
$958$	−3.12436	−	3.12436i	−0.100943	−	0.100943i
$959$	5.32051	−	9.21539i	0.171808	−	0.297580i
$960$	25.8564	+	17.0718i	0.834512	+	0.550990i
$961$	13.0885	+	22.6699i	0.422208	+	0.731286i
$962$	22.3923	−	83.5692i	0.721957	−	2.69438i
$963$	−0.990381	+	3.69615i	−0.0319146	+	0.119107i
$964$	50.5692	+	29.1962i	1.62872	+	0.940345i
$965$	−6.33975	−	30.9808i	−0.204084	−	0.997306i
$966$	−23.4904	−	6.29423i	−0.755791	−	0.202513i
$967$	−33.7224	+	9.03590i	−1.08444	+	0.290575i	−0.756414	−	0.654094i	$-0.773050\pi$
$967$	−33.7224	+	9.03590i	−1.08444	+	0.290575i	−0.328027	+	0.944668i	$0.606384\pi$
$968$	5.12436	+	19.1244i	0.164703	+	0.614680i
$969$	−2.41154	−	9.00000i	−0.0774699	−	0.289122i
$970$	−1.33975	+	22.3205i	−0.0430167	+	0.716668i
$971$	40.1962			1.28996			0.644978	−	0.764201i	$-0.276867\pi$
$971$	40.1962			1.28996			0.644978	+	0.764201i	$0.276867\pi$
$972$	−27.0000	−	15.5885i	−0.866025	−	0.500000i
$973$	−14.5359	−	14.5359i	−0.466000	−	0.466000i
$974$	30.1244	+	17.3923i	0.965247	+	0.557285i
$975$	−21.5885	+	53.7846i	−0.691384	+	1.72249i
$976$		−	10.6410i		−	0.340611i
$977$	−1.94744	−	7.26795i	−0.0623042	−	0.232522i	0.927751	−	0.373199i	$-0.121739\pi$
$977$	−1.94744	−	7.26795i	−0.0623042	−	0.232522i	−0.990056	+	0.140676i	$0.955072\pi$
$978$	1.39230	−	0.803848i	0.0445210	−	0.0257042i
$979$	14.6603	+	25.3923i	0.468544	+	0.811542i
$980$	−8.05256	−	0.483340i	−0.257230	−	0.0154397i
$981$	−12.9904	−	22.5000i	−0.414751	−	0.718370i
$982$	6.14359	−	22.9282i	0.196050	−	0.731668i
$983$	4.66987	−	17.4282i	0.148946	−	0.555873i	−0.850602	−	0.525810i	$-0.823762\pi$
$983$	4.66987	−	17.4282i	0.148946	−	0.555873i	0.999548	−	0.0300636i	$-0.00957097\pi$
$984$	−0.588457	+	2.19615i	−0.0187593	+	0.0700108i
$985$	25.1769	+	28.3923i	0.802203	+	0.904654i
$986$			43.1769i			1.37503i
$987$	14.8923	+	25.7942i	0.474027	+	0.821039i
$988$	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
$993$			52.9808i			1.68129i
$994$	−50.3538			−1.59713
$995$	0.830127	−	13.8301i	0.0263168	−	0.438445i
$996$	−9.24871	+	34.5167i	−0.293057	+	1.09370i
$997$	−31.2224	−	8.36603i	−0.988824	−	0.264955i	−0.272068	−	0.962278i	$-0.587707\pi$
$997$	−31.2224	−	8.36603i	−0.988824	−	0.264955i	−0.716757	+	0.697323i	$0.754374\pi$
$998$	5.41154	−	20.1962i	0.171299	−	0.639298i
$999$	−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.d.77.1	yes	4
5.3	odd	4		360.2.br.c.293.1	yes	4
8.5	even	2		360.2.br.a.77.1	✓	4
9.2	odd	6		360.2.br.b.317.1	yes	4
40.13	odd	4		360.2.br.b.293.1	yes	4
45.38	even	12		360.2.br.a.173.1	yes	4
72.29	odd	6		360.2.br.c.317.1	yes	4
360.173	even	12	inner	360.2.br.d.173.1	yes	4

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
360.2.br.a.77.1	✓	4	8.5	even	2
360.2.br.a.173.1	yes	4	45.38	even	12
360.2.br.b.293.1	yes	4	40.13	odd	4
360.2.br.b.317.1	yes	4	9.2	odd	6
360.2.br.c.293.1	yes	4	5.3	odd	4
360.2.br.c.317.1	yes	4	72.29	odd	6
360.2.br.d.77.1	yes	4	1.1	even	1	trivial
360.2.br.d.173.1	yes	4	360.173	even	12	inner

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)

\(f(q)\)	\(=\)	\(q+(-1.36603 + 0.366025i) q^{2} +(-0.866025 + 1.50000i) q^{3} +(1.73205 - 1.00000i) q^{4} +(2.23205 + 0.133975i) q^{5} +(0.633975 - 2.36603i) q^{6} +(-0.767949 + 2.86603i) q^{7} +(-2.00000 + 2.00000i) q^{8} +(-1.50000 - 2.59808i) q^{9} +O(q^{10})\)	\(q+(-1.36603 + 0.366025i) q^{2} +(-0.866025 + 1.50000i) q^{3} +(1.73205 - 1.00000i) q^{4} +(2.23205 + 0.133975i) q^{5} +(0.633975 - 2.36603i) q^{6} +(-0.767949 + 2.86603i) q^{7} +(-2.00000 + 2.00000i) q^{8} +(-1.50000 - 2.59808i) q^{9} +(-3.09808 + 0.633975i) q^{10} +(1.00000 + 1.73205i) q^{11} +3.46410i q^{12} +(6.46410 - 1.73205i) q^{13} -4.19615i q^{14} +(-2.13397 + 3.23205i) 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} +(-3.23205 + 0.866025i) q^{23} +(-1.26795 - 4.73205i) q^{24} +(4.96410 + 0.598076i) q^{25} +(-8.19615 + 4.73205i) q^{26} +5.19615 q^{27} +(1.53590 + 5.73205i) q^{28} +(-6.23205 + 3.59808i) q^{29} +(1.73205 - 5.19615i) q^{30} +(-1.09808 + 1.90192i) q^{31} +(-1.46410 + 5.46410i) q^{32} -3.46410 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} +(-1.73205 + 0.464102i) q^{38} +(-3.00000 + 11.1962i) q^{39} +(-4.73205 + 4.19615i) q^{40} +(-0.401924 - 0.232051i) q^{41} +(6.29423 + 3.63397i) q^{42} +(0.169873 - 0.633975i) q^{43} +(3.46410 + 2.00000i) q^{44} +(-3.00000 - 6.00000i) q^{45} +(4.09808 - 2.36603i) q^{46} +(-5.59808 - 1.50000i) q^{47} +(3.46410 + 6.00000i) 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} +(-1.09808 + 1.90192i) q^{57} +(7.19615 - 7.19615i) q^{58} +(10.5622 + 6.09808i) q^{59} +(-0.464102 + 7.73205i) q^{60} +(2.30385 - 1.33013i) q^{61} +(0.803848 - 3.00000i) q^{62} +(8.59808 - 2.30385i) q^{63} -8.00000i q^{64} +(14.6603 - 3.00000i) q^{65} +(4.73205 - 1.26795i) q^{66} +(-1.33013 - 4.96410i) q^{67} +(-2.19615 + 8.19615i) q^{68} +(1.50000 - 5.59808i) q^{69} +(0.562178 - 9.36603i) q^{70} -12.0000i q^{71} +(8.19615 + 2.19615i) q^{72} +(0.196152 - 0.196152i) q^{73} +(6.46410 - 11.1962i) q^{74} +(-5.19615 + 6.92820i) q^{75} +(2.19615 - 1.26795i) q^{76} +(-5.73205 + 1.53590i) q^{77} -16.3923i q^{78} +(-7.09808 + 4.09808i) q^{79} +(4.92820 - 7.46410i) q^{80} +(-4.50000 + 7.79423i) q^{81} +(0.633975 + 0.169873i) q^{82} +(9.96410 + 2.66987i) q^{83} +(-9.92820 - 2.66025i) q^{84} +(-7.09808 + 6.29423i) q^{85} +0.928203i q^{86} -12.4641i q^{87} +(-5.46410 - 1.46410i) q^{88} +14.6603 q^{89} +(6.29423 + 7.09808i) q^{90} +19.8564i q^{91} +(-4.73205 + 4.73205i) q^{92} +(-1.90192 - 3.29423i) q^{93} +8.19615 q^{94} +(2.83013 + 0.169873i) q^{95} +(-6.92820 - 6.92820i) q^{96} +(1.83013 - 6.83013i) q^{97} +(2.46410 + 0.660254i) q^{98} +(3.00000 - 5.19615i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 4 q - 2 q^{2} + 2 q^{5} + 6 q^{6} - 10 q^{7} - 8 q^{8} - 6 q^{9}+O(q^{10}) \) 4 * q - 2 * q^2 + 2 * q^5 + 6 * q^6 - 10 * q^7 - 8 * q^8 - 6 * q^9	\( 4 q - 2 q^{2} + 2 q^{5} + 6 q^{6} - 10 q^{7} - 8 q^{8} - 6 q^{9} - 2 q^{10} + 4 q^{11} + 12 q^{13} - 12 q^{15} + 8 q^{16} - 12 q^{17} + 12 q^{18} + 12 q^{19} + 16 q^{20} - 18 q^{21} - 8 q^{22} - 6 q^{23} - 12 q^{24} + 6 q^{25} - 12 q^{26} + 20 q^{28} - 18 q^{29} + 6 q^{31} + 8 q^{32} + 12 q^{34} + 2 q^{35} - 12 q^{37} - 12 q^{39} - 12 q^{40} - 12 q^{41} - 6 q^{42} + 18 q^{43} - 12 q^{45} + 6 q^{46} - 12 q^{47} + 18 q^{49} - 28 q^{50} - 18 q^{51} + 24 q^{52} - 18 q^{54} + 8 q^{55} + 4 q^{56} + 6 q^{57} + 8 q^{58} + 18 q^{59} + 12 q^{60} + 30 q^{61} + 24 q^{62} + 24 q^{63} + 24 q^{65} + 12 q^{66} + 12 q^{67} + 12 q^{68} + 6 q^{69} - 22 q^{70} + 12 q^{72} - 20 q^{73} + 12 q^{74} - 12 q^{76} - 16 q^{77} - 18 q^{79} - 8 q^{80} - 18 q^{81} + 6 q^{82} + 26 q^{83} - 12 q^{84} - 18 q^{85} - 8 q^{88} + 24 q^{89} - 6 q^{90} - 12 q^{92} - 18 q^{93} + 12 q^{94} - 6 q^{95} - 10 q^{97} - 4 q^{98} + 12 q^{99}+O(q^{100}) \) 4 * q - 2 * q^2 + 2 * q^5 + 6 * q^6 - 10 * q^7 - 8 * q^8 - 6 * q^9 - 2 * q^10 + 4 * q^11 + 12 * q^13 - 12 * q^15 + 8 * q^16 - 12 * q^17 + 12 * q^18 + 12 * q^19 + 16 * q^20 - 18 * q^21 - 8 * q^22 - 6 * q^23 - 12 * q^24 + 6 * q^25 - 12 * q^26 + 20 * q^28 - 18 * q^29 + 6 * q^31 + 8 * q^32 + 12 * q^34 + 2 * q^35 - 12 * q^37 - 12 * q^39 - 12 * q^40 - 12 * q^41 - 6 * q^42 + 18 * q^43 - 12 * q^45 + 6 * q^46 - 12 * q^47 + 18 * q^49 - 28 * q^50 - 18 * q^51 + 24 * q^52 - 18 * q^54 + 8 * q^55 + 4 * q^56 + 6 * q^57 + 8 * q^58 + 18 * q^59 + 12 * q^60 + 30 * q^61 + 24 * q^62 + 24 * q^63 + 24 * q^65 + 12 * q^66 + 12 * q^67 + 12 * q^68 + 6 * q^69 - 22 * q^70 + 12 * q^72 - 20 * q^73 + 12 * q^74 - 12 * q^76 - 16 * q^77 - 18 * q^79 - 8 * q^80 - 18 * q^81 + 6 * q^82 + 26 * q^83 - 12 * q^84 - 18 * q^85 - 8 * q^88 + 24 * q^89 - 6 * q^90 - 12 * q^92 - 18 * q^93 + 12 * q^94 - 6 * q^95 - 10 * q^97 - 4 * q^98 + 12 * q^99

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