LMFDB - Embedded newform 280.2.bv.d.173.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(117,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(12))

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

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

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

chi := DirichletCharacter("280.117");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.bv (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:	$2.23581125660$
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			173.1
Root			$0.866025 - 0.500000i$ of defining polynomial
Character	$\chi$	$=$	280.173
Dual form			280.2.bv.d.157.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.00000 + 1.00000i) q^{2} +(0.133975 - 0.500000i) q^{3} +2.00000i q^{4} +(-1.86603 + 1.23205i) q^{5} +(0.633975 - 0.366025i) q^{6} +(-0.866025 + 2.50000i) q^{7} +(-2.00000 + 2.00000i) q^{8} +(2.36603 + 1.36603i) q^{9} +O(q^{10})$	\(q+(1.00000 + 1.00000i) q^{2} +(0.133975 - 0.500000i) q^{3} +2.00000i q^{4} +(-1.86603 + 1.23205i) q^{5} +(0.633975 - 0.366025i) q^{6} +(-0.866025 + 2.50000i) q^{7} +(-2.00000 + 2.00000i) q^{8} +(2.36603 + 1.36603i) q^{9} +(-3.09808 - 0.633975i) q^{10} +(2.36603 - 1.36603i) q^{11} +(1.00000 + 0.267949i) q^{12} +(-3.00000 - 3.00000i) q^{13} +(-3.36603 + 1.63397i) q^{14} +(0.366025 + 1.09808i) q^{15} -4.00000 q^{16} +(-1.09808 + 4.09808i) q^{17} +(1.00000 + 3.73205i) q^{18} +(3.00000 + 1.73205i) q^{19} +(-2.46410 - 3.73205i) q^{20} +(1.13397 + 0.767949i) q^{21} +(3.73205 + 1.00000i) q^{22} +(5.59808 - 1.50000i) q^{23} +(0.732051 + 1.26795i) q^{24} +(1.96410 - 4.59808i) q^{25} -6.00000i q^{26} +(2.09808 - 2.09808i) q^{27} +(-5.00000 - 1.73205i) q^{28} +2.46410 q^{29} +(-0.732051 + 1.46410i) q^{30} +(-0.169873 + 0.0980762i) q^{31} +(-4.00000 - 4.00000i) q^{32} +(-0.366025 - 1.36603i) q^{33} +(-5.19615 + 3.00000i) q^{34} +(-1.46410 - 5.73205i) q^{35} +(-2.73205 + 4.73205i) q^{36} +(1.73205 - 0.464102i) q^{37} +(1.26795 + 4.73205i) q^{38} +(-1.90192 + 1.09808i) q^{39} +(1.26795 - 6.19615i) q^{40} -6.46410i q^{41} +(0.366025 + 1.90192i) q^{42} +(0.633975 - 0.633975i) q^{43} +(2.73205 + 4.73205i) q^{44} +(-6.09808 + 0.366025i) q^{45} +(7.09808 + 4.09808i) q^{46} +(8.83013 - 2.36603i) q^{47} +(-0.535898 + 2.00000i) q^{48} +(-5.50000 - 4.33013i) q^{49} +(6.56218 - 2.63397i) q^{50} +(1.90192 + 1.09808i) q^{51} +(6.00000 - 6.00000i) q^{52} +(-11.1962 - 3.00000i) q^{53} +4.19615 q^{54} +(-2.73205 + 5.46410i) q^{55} +(-3.26795 - 6.73205i) q^{56} +(1.26795 - 1.26795i) q^{57} +(2.46410 + 2.46410i) q^{58} +(4.26795 - 2.46410i) q^{59} +(-2.19615 + 0.732051i) q^{60} +(-1.96410 + 3.40192i) q^{61} +(-0.267949 - 0.0717968i) q^{62} +(-5.46410 + 4.73205i) q^{63} -8.00000i q^{64} +(9.29423 + 1.90192i) q^{65} +(1.00000 - 1.73205i) q^{66} +(-2.13397 + 7.96410i) q^{67} +(-8.19615 - 2.19615i) q^{68} -3.00000i q^{69} +(4.26795 - 7.19615i) q^{70} +8.53590 q^{71} +(-7.46410 + 2.00000i) q^{72} +(-10.8301 - 2.90192i) q^{73} +(2.19615 + 1.26795i) q^{74} +(-2.03590 - 1.59808i) q^{75} +(-3.46410 + 6.00000i) q^{76} +(1.36603 + 7.09808i) q^{77} +(-3.00000 - 0.803848i) q^{78} +(0.803848 + 0.464102i) q^{79} +(7.46410 - 4.92820i) q^{80} +(3.33013 + 5.76795i) q^{81} +(6.46410 - 6.46410i) q^{82} +(7.56218 + 7.56218i) q^{83} +(-1.53590 + 2.26795i) q^{84} +(-3.00000 - 9.00000i) q^{85} +1.26795 q^{86} +(0.330127 - 1.23205i) q^{87} +(-2.00000 + 7.46410i) q^{88} +(3.40192 - 5.89230i) q^{89} +(-6.46410 - 5.73205i) q^{90} +(10.0981 - 4.90192i) q^{91} +(3.00000 + 11.1962i) q^{92} +(0.0262794 + 0.0980762i) q^{93} +(11.1962 + 6.46410i) q^{94} +(-7.73205 + 0.464102i) q^{95} +(-2.53590 + 1.46410i) q^{96} +(-9.73205 - 9.73205i) q^{97} +(-1.16987 - 9.83013i) q^{98} +7.46410 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 4 q + 4 q^{2} + 4 q^{3} - 4 q^{5} + 6 q^{6} - 8 q^{8} + 6 q^{9}+O(q^{10}) $ 4 * q + 4 * q^2 + 4 * q^3 - 4 * q^5 + 6 * q^6 - 8 * q^8 + 6 * q^9	\( 4 q + 4 q^{2} + 4 q^{3} - 4 q^{5} + 6 q^{6} - 8 q^{8} + 6 q^{9} - 2 q^{10} + 6 q^{11} + 4 q^{12} - 12 q^{13} - 10 q^{14} - 2 q^{15} - 16 q^{16} + 6 q^{17} + 4 q^{18} + 12 q^{19} + 4 q^{20} + 8 q^{21} + 8 q^{22} + 12 q^{23} - 4 q^{24} - 6 q^{25} - 2 q^{27} - 20 q^{28} - 4 q^{29} + 4 q^{30} - 18 q^{31} - 16 q^{32} + 2 q^{33} + 8 q^{35} - 4 q^{36} + 12 q^{38} - 18 q^{39} + 12 q^{40} - 2 q^{42} + 6 q^{43} + 4 q^{44} - 14 q^{45} + 18 q^{46} + 18 q^{47} - 16 q^{48} - 22 q^{49} + 2 q^{50} + 18 q^{51} + 24 q^{52} - 24 q^{53} - 4 q^{54} - 4 q^{55} - 20 q^{56} + 12 q^{57} - 4 q^{58} + 24 q^{59} + 12 q^{60} + 6 q^{61} - 8 q^{62} - 8 q^{63} + 6 q^{65} + 4 q^{66} - 12 q^{67} - 12 q^{68} + 24 q^{70} + 48 q^{71} - 16 q^{72} - 26 q^{73} - 12 q^{74} - 22 q^{75} + 2 q^{77} - 12 q^{78} + 24 q^{79} + 16 q^{80} - 4 q^{81} + 12 q^{82} + 6 q^{83} - 20 q^{84} - 12 q^{85} + 12 q^{86} - 16 q^{87} - 8 q^{88} + 24 q^{89} - 12 q^{90} + 30 q^{91} + 12 q^{92} - 38 q^{93} + 24 q^{94} - 24 q^{95} - 24 q^{96} - 32 q^{97} - 22 q^{98} + 16 q^{99}+O(q^{100}) \) 4 * q + 4 * q^2 + 4 * q^3 - 4 * q^5 + 6 * q^6 - 8 * q^8 + 6 * q^9 - 2 * q^10 + 6 * q^11 + 4 * q^12 - 12 * q^13 - 10 * q^14 - 2 * q^15 - 16 * q^16 + 6 * q^17 + 4 * q^18 + 12 * q^19 + 4 * q^20 + 8 * q^21 + 8 * q^22 + 12 * q^23 - 4 * q^24 - 6 * q^25 - 2 * q^27 - 20 * q^28 - 4 * q^29 + 4 * q^30 - 18 * q^31 - 16 * q^32 + 2 * q^33 + 8 * q^35 - 4 * q^36 + 12 * q^38 - 18 * q^39 + 12 * q^40 - 2 * q^42 + 6 * q^43 + 4 * q^44 - 14 * q^45 + 18 * q^46 + 18 * q^47 - 16 * q^48 - 22 * q^49 + 2 * q^50 + 18 * q^51 + 24 * q^52 - 24 * q^53 - 4 * q^54 - 4 * q^55 - 20 * q^56 + 12 * q^57 - 4 * q^58 + 24 * q^59 + 12 * q^60 + 6 * q^61 - 8 * q^62 - 8 * q^63 + 6 * q^65 + 4 * q^66 - 12 * q^67 - 12 * q^68 + 24 * q^70 + 48 * q^71 - 16 * q^72 - 26 * q^73 - 12 * q^74 - 22 * q^75 + 2 * q^77 - 12 * q^78 + 24 * q^79 + 16 * q^80 - 4 * q^81 + 12 * q^82 + 6 * q^83 - 20 * q^84 - 12 * q^85 + 12 * q^86 - 16 * q^87 - 8 * q^88 + 24 * q^89 - 12 * q^90 + 30 * q^91 + 12 * q^92 - 38 * q^93 + 24 * q^94 - 24 * q^95 - 24 * q^96 - 32 * q^97 - 22 * q^98 + 16 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$1$	$-1$	$e\left(\frac{5}{6}\right)$

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 $

$2$	1.00000	+	1.00000i	0.707107	+	0.707107i
$2$	1.00000	+	1.00000i	0.707107	+	0.707107i
$3$	0.133975	−	0.500000i	0.0773503	−	0.288675i	−0.916406	−	0.400251i	$-0.868923\pi$
$3$	0.133975	−	0.500000i	0.0773503	−	0.288675i	0.993756	+	0.111576i	$0.0355897\pi$
$4$			2.00000i			1.00000i
$5$	−1.86603	+	1.23205i	−0.834512	+	0.550990i
$5$	−1.86603	+	1.23205i	−0.834512	+	0.550990i
$6$	0.633975	−	0.366025i	0.258819	−	0.149429i
$7$	−0.866025	+	2.50000i	−0.327327	+	0.944911i
$7$	−0.866025	+	2.50000i	−0.327327	+	0.944911i
$8$	−2.00000	+	2.00000i	−0.707107	+	0.707107i
$9$	2.36603	+	1.36603i	0.788675	+	0.455342i
$10$	−3.09808	−	0.633975i	−0.979698	−	0.200480i
$11$	2.36603	−	1.36603i	0.713384	−	0.411872i	−0.0989291	−	0.995094i	$-0.531542\pi$
$11$	2.36603	−	1.36603i	0.713384	−	0.411872i	0.812313	+	0.583222i	$0.198208\pi$
$12$	1.00000	+	0.267949i	0.288675	+	0.0773503i
$13$	−3.00000	−	3.00000i	−0.832050	−	0.832050i	0.155747	−	0.987797i	$-0.450222\pi$
$13$	−3.00000	−	3.00000i	−0.832050	−	0.832050i	−0.987797	+	0.155747i	$0.950222\pi$
$14$	−3.36603	+	1.63397i	−0.899608	+	0.436698i
$15$	0.366025	+	1.09808i	0.0945074	+	0.283522i
$16$	−4.00000			−1.00000
$17$	−1.09808	+	4.09808i	−0.266323	+	0.993929i	0.695113	+	0.718900i	$0.255354\pi$
$17$	−1.09808	+	4.09808i	−0.266323	+	0.993929i	−0.961436	+	0.275029i	$0.911312\pi$
$18$	1.00000	+	3.73205i	0.235702	+	0.879653i
$19$	3.00000	+	1.73205i	0.688247	+	0.397360i	0.802955	−	0.596040i	$-0.203260\pi$
$19$	3.00000	+	1.73205i	0.688247	+	0.397360i	−0.114708	+	0.993399i	$0.536593\pi$
$20$	−2.46410	−	3.73205i	−0.550990	−	0.834512i
$21$	1.13397	+	0.767949i	0.247454	+	0.167580i
$22$	3.73205	+	1.00000i	0.795676	+	0.213201i
$23$	5.59808	−	1.50000i	1.16728	−	0.312772i	0.377410	−	0.926046i	$-0.376815\pi$
$23$	5.59808	−	1.50000i	1.16728	−	0.312772i	0.789870	+	0.613275i	$0.210148\pi$
$24$	0.732051	+	1.26795i	0.149429	+	0.258819i
$25$	1.96410	−	4.59808i	0.392820	−	0.919615i
$26$		−	6.00000i		−	1.17670i
$27$	2.09808	−	2.09808i	0.403775	−	0.403775i
$28$	−5.00000	−	1.73205i	−0.944911	−	0.327327i
$29$	2.46410			0.457572			0.228786	−	0.973477i	$-0.426524\pi$
$29$	2.46410			0.457572			0.228786	+	0.973477i	$0.426524\pi$
$30$	−0.732051	+	1.46410i	−0.133654	+	0.267307i
$31$	−0.169873	+	0.0980762i	−0.0305101	+	0.0176150i	−0.515177	−	0.857084i	$-0.672274\pi$
$31$	−0.169873	+	0.0980762i	−0.0305101	+	0.0176150i	0.484667	+	0.874699i	$0.338941\pi$
$32$	−4.00000	−	4.00000i	−0.707107	−	0.707107i
$33$	−0.366025	−	1.36603i	−0.0637168	−	0.237795i
$34$	−5.19615	+	3.00000i	−0.891133	+	0.514496i
$35$	−1.46410	−	5.73205i	−0.247478	−	0.968893i
$36$	−2.73205	+	4.73205i	−0.455342	+	0.788675i
$37$	1.73205	−	0.464102i	0.284747	−	0.0762978i	−0.113618	−	0.993524i	$-0.536244\pi$
$37$	1.73205	−	0.464102i	0.284747	−	0.0762978i	0.398366	+	0.917227i	$0.369577\pi$
$38$	1.26795	+	4.73205i	0.205689	+	0.767640i
$39$	−1.90192	+	1.09808i	−0.304552	+	0.175833i
$40$	1.26795	−	6.19615i	0.200480	−	0.979698i
$41$		−	6.46410i		−	1.00952i	−0.863259	−	0.504762i	$-0.831580\pi$
$41$		−	6.46410i		−	1.00952i	0.863259	−	0.504762i	$-0.168420\pi$
$42$	0.366025	+	1.90192i	0.0564789	+	0.293473i
$43$	0.633975	−	0.633975i	0.0966802	−	0.0966802i	−0.657112	−	0.753793i	$-0.728222\pi$
$43$	0.633975	−	0.633975i	0.0966802	−	0.0966802i	0.753793	+	0.657112i	$0.228222\pi$
$44$	2.73205	+	4.73205i	0.411872	+	0.713384i
$45$	−6.09808	+	0.366025i	−0.909048	+	0.0545638i
$46$	7.09808	+	4.09808i	1.04655	+	0.604228i
$47$	8.83013	−	2.36603i	1.28801	−	0.345120i	0.451103	−	0.892472i	$-0.351031\pi$
$47$	8.83013	−	2.36603i	1.28801	−	0.345120i	0.836903	+	0.547351i	$0.184364\pi$
$48$	−0.535898	+	2.00000i	−0.0773503	+	0.288675i
$49$	−5.50000	−	4.33013i	−0.785714	−	0.618590i
$50$	6.56218	−	2.63397i	0.928032	−	0.372500i
$51$	1.90192	+	1.09808i	0.266323	+	0.153761i
$52$	6.00000	−	6.00000i	0.832050	−	0.832050i
$53$	−11.1962	−	3.00000i	−1.53791	−	0.412082i	−0.612320	−	0.790610i	$-0.709764\pi$
$53$	−11.1962	−	3.00000i	−1.53791	−	0.412082i	−0.925590	+	0.378528i	$0.876430\pi$
$54$	4.19615			0.571024
$55$	−2.73205	+	5.46410i	−0.368390	+	0.736779i
$56$	−3.26795	−	6.73205i	−0.436698	−	0.899608i
$57$	1.26795	−	1.26795i	0.167944	−	0.167944i
$58$	2.46410	+	2.46410i	0.323552	+	0.323552i
$59$	4.26795	−	2.46410i	0.555640	−	0.320799i	−0.195754	−	0.980653i	$-0.562715\pi$
$59$	4.26795	−	2.46410i	0.555640	−	0.320799i	0.751394	+	0.659854i	$0.229382\pi$
$60$	−2.19615	+	0.732051i	−0.283522	+	0.0945074i
$61$	−1.96410	+	3.40192i	−0.251477	+	0.435572i	−0.963933	−	0.266146i	$-0.914250\pi$
$61$	−1.96410	+	3.40192i	−0.251477	+	0.435572i	0.712455	+	0.701717i	$0.247583\pi$
$62$	−0.267949	−	0.0717968i	−0.0340296	−	0.00911820i
$63$	−5.46410	+	4.73205i	−0.688412	+	0.596182i
$64$		−	8.00000i		−	1.00000i
$65$	9.29423	+	1.90192i	1.15281	+	0.235905i
$66$	1.00000	−	1.73205i	0.123091	−	0.213201i
$67$	−2.13397	+	7.96410i	−0.260706	+	0.972970i	0.704120	+	0.710081i	$0.251342\pi$
$67$	−2.13397	+	7.96410i	−0.260706	+	0.972970i	−0.964826	+	0.262889i	$0.915325\pi$
$68$	−8.19615	−	2.19615i	−0.993929	−	0.266323i
$69$		−	3.00000i		−	0.361158i
$70$	4.26795	−	7.19615i	0.510117	−	0.860105i
$71$	8.53590			1.01302			0.506512	−	0.862233i	$-0.330934\pi$
$71$	8.53590			1.01302			0.506512	+	0.862233i	$0.330934\pi$
$72$	−7.46410	+	2.00000i	−0.879653	+	0.235702i
$73$	−10.8301	−	2.90192i	−1.26757	−	0.339644i	−0.438471	−	0.898745i	$-0.644480\pi$
$73$	−10.8301	−	2.90192i	−1.26757	−	0.339644i	−0.829100	+	0.559101i	$0.811146\pi$
$74$	2.19615	+	1.26795i	0.255298	+	0.147396i
$75$	−2.03590	−	1.59808i	−0.235085	−	0.184530i
$76$	−3.46410	+	6.00000i	−0.397360	+	0.688247i
$77$	1.36603	+	7.09808i	0.155673	+	0.808901i
$78$	−3.00000	−	0.803848i	−0.339683	−	0.0910178i
$79$	0.803848	+	0.464102i	0.0904399	+	0.0522155i	0.544538	−	0.838736i	$-0.316705\pi$
$79$	0.803848	+	0.464102i	0.0904399	+	0.0522155i	−0.454098	+	0.890952i	$0.650038\pi$
$80$	7.46410	−	4.92820i	0.834512	−	0.550990i
$81$	3.33013	+	5.76795i	0.370014	+	0.640883i
$82$	6.46410	−	6.46410i	0.713841	−	0.713841i
$83$	7.56218	+	7.56218i	0.830057	+	0.830057i	0.987524	−	0.157467i	$-0.0503329\pi$
$83$	7.56218	+	7.56218i	0.830057	+	0.830057i	−0.157467	+	0.987524i	$0.550333\pi$
$84$	−1.53590	+	2.26795i	−0.167580	+	0.247454i
$85$	−3.00000	−	9.00000i	−0.325396	−	0.976187i
$86$	1.26795			0.136726
$87$	0.330127	−	1.23205i	0.0353933	−	0.132090i
$88$	−2.00000	+	7.46410i	−0.213201	+	0.795676i
$89$	3.40192	−	5.89230i	0.360603	−	0.624583i	−0.627457	−	0.778651i	$-0.715904\pi$
$89$	3.40192	−	5.89230i	0.360603	−	0.624583i	0.988060	+	0.154068i	$0.0492375\pi$
$90$	−6.46410	−	5.73205i	−0.681376	−	0.604211i
$91$	10.0981	−	4.90192i	1.05857	−	0.513861i
$92$	3.00000	+	11.1962i	0.312772	+	1.16728i
$93$	0.0262794	+	0.0980762i	0.00272505	+	0.0101700i
$94$	11.1962	+	6.46410i	1.15479	+	0.666721i
$95$	−7.73205	+	0.464102i	−0.793292	+	0.0476158i
$96$	−2.53590	+	1.46410i	−0.258819	+	0.149429i
$97$	−9.73205	−	9.73205i	−0.988140	−	0.988140i	0.0117904	−	0.999930i	$-0.496247\pi$
$97$	−9.73205	−	9.73205i	−0.988140	−	0.988140i	−0.999930	+	0.0117904i	$0.996247\pi$
$98$	−1.16987	−	9.83013i	−0.118175	−	0.992993i
$99$	7.46410			0.750170
$100$	9.19615	+	3.92820i	0.919615	+	0.392820i
$101$	7.06218	+	12.2321i	0.702713	+	1.21713i	0.967511	+	0.252831i	$0.0813615\pi$
$101$	7.06218	+	12.2321i	0.702713	+	1.21713i	−0.264798	+	0.964304i	$0.585305\pi$
$102$	0.803848	+	3.00000i	0.0795928	+	0.297044i
$103$	−1.42820	−	5.33013i	−0.140725	−	0.525193i	−0.999909	−	0.0135254i	$-0.995695\pi$
$103$	−1.42820	−	5.33013i	−0.140725	−	0.525193i	0.859183	−	0.511668i	$-0.170972\pi$
$104$	12.0000			1.17670
$105$	−3.06218	−	0.0358984i	−0.298838	−	0.00350332i
$106$	−8.19615	−	14.1962i	−0.796081	−	1.37885i
$107$	−12.4282	+	3.33013i	−1.20148	+	0.321936i	−0.803414	−	0.595421i	$-0.796985\pi$
$107$	−12.4282	+	3.33013i	−1.20148	+	0.321936i	−0.398066	+	0.917357i	$0.630319\pi$
$108$	4.19615	+	4.19615i	0.403775	+	0.403775i
$109$	3.86603	+	6.69615i	0.370298	+	0.641375i	0.989611	−	0.143769i	$-0.0459222\pi$
$109$	3.86603	+	6.69615i	0.370298	+	0.641375i	−0.619313	+	0.785144i	$0.712589\pi$
$110$	−8.19615	+	2.73205i	−0.781472	+	0.260491i
$111$		−	0.928203i		−	0.0881012i
$112$	3.46410	−	10.0000i	0.327327	−	0.944911i
$113$	9.46410	+	9.46410i	0.890308	+	0.890308i	0.994552	−	0.104244i	$-0.0332423\pi$
$113$	9.46410	+	9.46410i	0.890308	+	0.890308i	−0.104244	+	0.994552i	$0.533242\pi$
$114$	2.53590			0.237509
$115$	−8.59808	+	9.69615i	−0.801775	+	0.904171i
$116$			4.92820i			0.457572i
$117$	−3.00000	−	11.1962i	−0.277350	−	1.03508i
$118$	6.73205	+	1.80385i	0.619736	+	0.166058i
$119$	−9.29423	−	6.29423i	−0.852001	−	0.576991i
$120$	−2.92820	−	1.46410i	−0.267307	−	0.133654i
$121$	−1.76795	+	3.06218i	−0.160723	+	0.278380i
$122$	−5.36603	+	1.43782i	−0.485817	+	0.130174i
$123$	−3.23205	−	0.866025i	−0.291424	−	0.0780869i
$124$	−0.196152	−	0.339746i	−0.0176150	−	0.0305101i
$125$	2.00000	+	11.0000i	0.178885	+	0.983870i
$126$	−10.1962	−	0.732051i	−0.908345	−	0.0652163i
$127$	−11.0000	+	11.0000i	−0.976092	+	0.976092i	−0.999721	−	0.0236286i	$-0.992478\pi$
$127$	−11.0000	+	11.0000i	−0.976092	+	0.976092i	0.0236286	+	0.999721i	$0.492478\pi$
$128$	8.00000	−	8.00000i	0.707107	−	0.707107i
$129$	−0.232051	−	0.401924i	−0.0204309	−	0.0353874i
$130$	7.39230	+	11.1962i	0.648348	+	0.981968i
$131$	0.267949	−	0.464102i	0.0234108	−	0.0405487i	−0.854083	−	0.520137i	$-0.825881\pi$
$131$	0.267949	−	0.464102i	0.0234108	−	0.0405487i	0.877493	+	0.479589i	$0.159214\pi$
$132$	2.73205	−	0.732051i	0.237795	−	0.0637168i
$133$	−6.92820	+	6.00000i	−0.600751	+	0.520266i
$134$	−10.0981	+	5.83013i	−0.872341	+	0.503646i
$135$	−1.33013	+	6.50000i	−0.114479	+	0.559431i
$136$	−6.00000	−	10.3923i	−0.514496	−	0.891133i
$137$	−8.19615	−	2.19615i	−0.700245	−	0.187630i	−0.108904	−	0.994052i	$-0.534734\pi$
$137$	−8.19615	−	2.19615i	−0.700245	−	0.187630i	−0.591340	+	0.806422i	$0.701401\pi$
$138$	3.00000	−	3.00000i	0.255377	−	0.255377i
$139$		−	4.73205i		−	0.401367i	−0.979656	−	0.200684i	$-0.935684\pi$
$139$		−	4.73205i		−	0.401367i	0.979656	−	0.200684i	$-0.0643163\pi$
$140$	11.4641	−	2.92820i	0.968893	−	0.247478i
$141$		−	4.73205i		−	0.398511i
$142$	8.53590	+	8.53590i	0.716317	+	0.716317i
$143$	−11.1962	−	3.00000i	−0.936269	−	0.250873i
$144$	−9.46410	−	5.46410i	−0.788675	−	0.455342i
$145$	−4.59808	+	3.03590i	−0.381849	+	0.252118i
$146$	−7.92820	−	13.7321i	−0.656143	−	1.13647i
$147$	−2.90192	+	2.16987i	−0.239347	+	0.178968i
$148$	0.928203	+	3.46410i	0.0762978	+	0.284747i
$149$	2.66987	−	4.62436i	0.218725	−	0.378842i	−0.735694	−	0.677314i	$-0.763144\pi$
$149$	2.66987	−	4.62436i	0.218725	−	0.378842i	0.954418	+	0.298472i	$0.0964771\pi$
$150$	−0.437822	−	3.63397i	−0.0357480	−	0.296713i
$151$	−12.0981	−	20.9545i	−0.984527	−	1.70525i	−0.644018	−	0.765011i	$-0.722734\pi$
$151$	−12.0981	−	20.9545i	−0.984527	−	1.70525i	−0.340510	−	0.940241i	$-0.610600\pi$
$152$	−9.46410	+	2.53590i	−0.767640	+	0.205689i
$153$	−8.19615	+	8.19615i	−0.662620	+	0.662620i
$154$	−5.73205	+	8.46410i	−0.461902	+	0.682057i
$155$	0.196152	−	0.392305i	0.0157553	−	0.0315107i
$156$	−2.19615	−	3.80385i	−0.175833	−	0.304552i
$157$	7.56218	+	2.02628i	0.603527	+	0.161715i	0.547628	−	0.836722i	$-0.315531\pi$
$157$	7.56218	+	2.02628i	0.603527	+	0.161715i	0.0558992	+	0.998436i	$0.482197\pi$
$158$	0.339746	+	1.26795i	0.0270287	+	0.100873i
$159$	−3.00000	+	5.19615i	−0.237915	+	0.412082i
$160$	12.3923	+	2.53590i	0.979698	+	0.200480i
$161$	−1.09808	+	15.2942i	−0.0865405	+	1.20535i
$162$	−2.43782	+	9.09808i	−0.191533	+	0.714812i
$163$	−5.36603	−	20.0263i	−0.420300	−	1.56858i	−0.773978	−	0.633212i	$-0.781736\pi$
$163$	−5.36603	−	20.0263i	−0.420300	−	1.56858i	0.353679	−	0.935367i	$-0.384931\pi$
$164$	12.9282			1.00952
$165$	2.36603	+	2.09808i	0.184195	+	0.163335i
$166$			15.1244i			1.17388i
$167$	12.2942	+	12.2942i	0.951356	+	0.951356i	0.998871	−	0.0475146i	$-0.0151301\pi$
$167$	12.2942	+	12.2942i	0.951356	+	0.951356i	−0.0475146	+	0.998871i	$0.515130\pi$
$168$	−3.80385	+	0.732051i	−0.293473	+	0.0564789i
$169$			5.00000i			0.384615i
$170$	6.00000	−	12.0000i	0.460179	−	0.920358i
$171$	4.73205	+	8.19615i	0.361869	+	0.626775i
$172$	1.26795	+	1.26795i	0.0966802	+	0.0966802i
$173$	24.1244	−	6.46410i	1.83414	−	0.491457i	0.835800	−	0.549034i	$-0.185004\pi$
$173$	24.1244	−	6.46410i	1.83414	−	0.491457i	0.998341	+	0.0575778i	$0.0183377\pi$
$174$	1.56218	−	0.901924i	0.118428	−	0.0683747i
$175$	9.79423	+	8.89230i	0.740374	+	0.672195i
$176$	−9.46410	+	5.46410i	−0.713384	+	0.411872i
$177$	−0.660254	−	2.46410i	−0.0496277	−	0.185213i
$178$	9.29423	−	2.49038i	0.696632	−	0.186662i
$179$	−12.0263	−	20.8301i	−0.898886	−	1.55692i	−0.828920	−	0.559367i	$-0.811044\pi$
$179$	−12.0263	−	20.8301i	−0.898886	−	1.55692i	−0.0699665	−	0.997549i	$-0.522289\pi$
$180$	−0.732051	−	12.1962i	−0.0545638	−	0.909048i
$181$	−22.5167			−1.67365			−0.836825	−	0.547470i	$-0.815591\pi$
$181$	−22.5167			−1.67365			−0.836825	+	0.547470i	$0.815591\pi$
$182$	15.0000	+	5.19615i	1.11187	+	0.385164i
$183$	1.43782	+	1.43782i	0.106287	+	0.106287i
$184$	−8.19615	+	14.1962i	−0.604228	+	1.04655i
$185$	−2.66025	+	3.00000i	−0.195586	+	0.220564i
$186$	−0.0717968	+	0.124356i	−0.00526439	+	0.00911820i
$187$	3.00000	+	11.1962i	0.219382	+	0.818744i
$188$	4.73205	+	17.6603i	0.345120	+	1.28801i
$189$	3.42820	+	7.06218i	0.249365	+	0.513698i
$190$	−8.19615	−	7.26795i	−0.594611	−	0.527272i
$191$	10.5622	−	18.2942i	0.764252	−	1.32372i	−0.176389	−	0.984321i	$-0.556442\pi$
$191$	10.5622	−	18.2942i	0.764252	−	1.32372i	0.940641	−	0.339403i	$-0.110225\pi$
$192$	−4.00000	−	1.07180i	−0.288675	−	0.0773503i
$193$	0.562178	−	2.09808i	0.0404664	−	0.151023i	−0.942737	−	0.333538i	$-0.891757\pi$
$193$	0.562178	−	2.09808i	0.0404664	−	0.151023i	0.983203	+	0.182516i	$0.0584240\pi$
$194$		−	19.4641i		−	1.39744i
$195$	2.19615	−	4.39230i	0.157270	−	0.314539i
$196$	8.66025	−	11.0000i	0.618590	−	0.785714i
$197$	−12.4641	−	12.4641i	−0.888030	−	0.888030i	0.106303	−	0.994334i	$-0.466099\pi$
$197$	−12.4641	−	12.4641i	−0.888030	−	0.888030i	−0.994334	+	0.106303i	$0.966099\pi$
$198$	7.46410	+	7.46410i	0.530451	+	0.530451i
$199$	−1.73205	−	3.00000i	−0.122782	−	0.212664i	0.798082	−	0.602549i	$-0.205848\pi$
$199$	−1.73205	−	3.00000i	−0.122782	−	0.212664i	−0.920864	+	0.389885i	$0.872515\pi$
$200$	5.26795	+	13.1244i	0.372500	+	0.928032i
$201$	3.69615	+	2.13397i	0.260706	+	0.150519i
$202$	−5.16987	+	19.2942i	−0.363751	+	1.35754i
$203$	−2.13397	+	6.16025i	−0.149776	+	0.432365i
$204$	−2.19615	+	3.80385i	−0.153761	+	0.266323i
$205$	7.96410	+	12.0622i	0.556237	+	0.842459i
$206$	3.90192	−	6.75833i	0.271860	−	0.470875i
$207$	15.2942	+	4.09808i	1.06302	+	0.284836i
$208$	12.0000	+	12.0000i	0.832050	+	0.832050i
$209$	9.46410			0.654646
$210$	−3.02628	−	3.09808i	−0.208833	−	0.213788i
$211$			27.4641i			1.89071i	0.326048	+	0.945353i	$0.394283\pi$
$211$			27.4641i			1.89071i	−0.326048	+	0.945353i	$0.605717\pi$
$212$	6.00000	−	22.3923i	0.412082	−	1.53791i
$213$	1.14359	−	4.26795i	0.0783577	−	0.292435i
$214$	−15.7583	−	9.09808i	−1.07722	−	0.621932i
$215$	−0.401924	+	1.96410i	−0.0274110	+	0.133951i
$216$			8.39230i			0.571024i
$217$	−0.0980762	−	0.509619i	−0.00665785	−	0.0345952i
$218$	−2.83013	+	10.5622i	−0.191680	+	0.715361i
$219$	−2.90192	+	5.02628i	−0.196094	+	0.339644i
$220$	−10.9282	−	5.46410i	−0.736779	−	0.368390i
$221$	15.5885	−	9.00000i	1.04859	−	0.605406i
$222$	0.928203	−	0.928203i	0.0622969	−	0.0622969i
$223$	5.92820	−	5.92820i	0.396982	−	0.396982i	−0.480185	−	0.877167i	$-0.659431\pi$
$223$	5.92820	−	5.92820i	0.396982	−	0.396982i	0.877167	+	0.480185i	$0.159431\pi$
$224$	13.4641	−	6.53590i	0.899608	−	0.436698i
$225$	10.9282	−	8.19615i	0.728547	−	0.546410i
$226$			18.9282i			1.25909i
$227$	−15.5622	−	4.16987i	−1.03290	−	0.276764i	−0.297731	−	0.954650i	$-0.596230\pi$
$227$	−15.5622	−	4.16987i	−1.03290	−	0.276764i	−0.735167	+	0.677886i	$0.762896\pi$
$228$	2.53590	+	2.53590i	0.167944	+	0.167944i
$229$	−7.39230	−	4.26795i	−0.488497	−	0.282034i	0.235454	−	0.971886i	$-0.424342\pi$
$229$	−7.39230	−	4.26795i	−0.488497	−	0.282034i	−0.723951	+	0.689852i	$0.757676\pi$
$230$	−18.2942	+	1.09808i	−1.20629	+	0.0724050i
$231$	3.73205	+	0.267949i	0.245551	+	0.0176298i
$232$	−4.92820	+	4.92820i	−0.323552	+	0.323552i
$233$	−7.09808	+	1.90192i	−0.465010	+	0.124599i	−0.483714	−	0.875226i	$-0.660713\pi$
$233$	−7.09808	+	1.90192i	−0.465010	+	0.124599i	0.0187040	+	0.999825i	$0.494046\pi$
$234$	8.19615	−	14.1962i	0.535799	−	0.928032i
$235$	−13.5622	+	15.2942i	−0.884699	+	0.997685i
$236$	4.92820	+	8.53590i	0.320799	+	0.555640i
$237$	0.339746	−	0.339746i	0.0220689	−	0.0220689i
$238$	−3.00000	−	15.5885i	−0.194461	−	1.01045i
$239$		−	1.26795i		−	0.0820168i	−0.999159	−	0.0410084i	$-0.986943\pi$
$239$		−	1.26795i		−	0.0820168i	0.999159	−	0.0410084i	$-0.0130570\pi$
$240$	−1.46410	−	4.39230i	−0.0945074	−	0.283522i
$241$	−0.339746	+	0.196152i	−0.0218850	+	0.0126353i	−0.510903	−	0.859639i	$-0.670689\pi$
$241$	−0.339746	+	0.196152i	−0.0218850	+	0.0126353i	0.489018	+	0.872274i	$0.337355\pi$
$242$	−4.83013	+	1.29423i	−0.310492	+	0.0831962i
$243$	11.9282	−	3.19615i	0.765195	−	0.205033i
$244$	−6.80385	−	3.92820i	−0.435572	−	0.251477i
$245$	15.5981	+	1.30385i	0.996525	+	0.0832998i
$246$	−2.36603	−	4.09808i	−0.150852	−	0.261284i
$247$	−3.80385	−	14.1962i	−0.242033	−	0.903280i
$248$	0.143594	−	0.535898i	0.00911820	−	0.0340296i
$249$	4.79423	−	2.76795i	0.303822	−	0.175412i
$250$	−9.00000	+	13.0000i	−0.569210	+	0.822192i
$251$	−2.33975			−0.147683			−0.0738417	−	0.997270i	$-0.523526\pi$
$251$	−2.33975			−0.147683			−0.0738417	+	0.997270i	$0.523526\pi$
$252$	−9.46410	−	10.9282i	−0.596182	−	0.688412i
$253$	11.1962	−	11.1962i	0.703896	−	0.703896i
$254$	−22.0000			−1.38040
$255$	−4.90192	+	0.294229i	−0.306970	+	0.0184253i
$256$	16.0000			1.00000
$257$	−6.92820	+	1.85641i	−0.432169	+	0.115799i	−0.468344	−	0.883546i	$-0.655149\pi$
$257$	−6.92820	+	1.85641i	−0.432169	+	0.115799i	0.0361749	+	0.999345i	$0.488483\pi$
$258$	0.169873	−	0.633975i	0.0105758	−	0.0394695i
$259$	−0.339746	+	4.73205i	−0.0211108	+	0.294035i
$260$	−3.80385	+	18.5885i	−0.235905	+	1.15281i
$261$	5.83013	+	3.36603i	0.360876	+	0.208352i
$262$	0.732051	−	0.196152i	0.0452262	−	0.0121183i
$263$	5.59808	−	20.8923i	0.345192	−	1.28827i	−0.547195	−	0.837005i	$-0.684305\pi$
$263$	5.59808	−	20.8923i	0.345192	−	1.28827i	0.892388	−	0.451270i	$-0.149029\pi$
$264$	3.46410	+	2.00000i	0.213201	+	0.123091i
$265$	24.5885	−	8.19615i	1.51046	−	0.503486i
$266$	−12.9282	−	0.928203i	−0.792679	−	0.0569118i
$267$	−2.49038	−	2.49038i	−0.152409	−	0.152409i
$268$	−15.9282	−	4.26795i	−0.972970	−	0.260706i
$269$	9.06218	−	5.23205i	0.552531	−	0.319004i	−0.197611	−	0.980280i	$-0.563318\pi$
$269$	9.06218	−	5.23205i	0.552531	−	0.319004i	0.750142	+	0.661277i	$0.229985\pi$
$270$	−7.83013	+	5.16987i	−0.476526	+	0.314628i
$271$	−10.3923	−	6.00000i	−0.631288	−	0.364474i	0.149963	−	0.988692i	$-0.452085\pi$
$271$	−10.3923	−	6.00000i	−0.631288	−	0.364474i	−0.781251	+	0.624218i	$0.785418\pi$
$272$	4.39230	−	16.3923i	0.266323	−	0.993929i
$273$	−1.09808	−	5.70577i	−0.0664586	−	0.345329i
$274$	−6.00000	−	10.3923i	−0.362473	−	0.627822i
$275$	−1.63397	−	13.5622i	−0.0985324	−	0.817830i
$276$	6.00000			0.361158
$277$	3.75833	−	14.0263i	0.225816	−	0.842757i	−0.756260	−	0.654272i	$-0.772975\pi$
$277$	3.75833	−	14.0263i	0.225816	−	0.842757i	0.982076	−	0.188486i	$-0.0603580\pi$
$278$	4.73205	−	4.73205i	0.283810	−	0.283810i
$279$	−0.535898			−0.0320834
$280$	14.3923	+	8.53590i	0.860105	+	0.510117i
$281$	24.2487			1.44656			0.723278	−	0.690557i	$-0.242634\pi$
$281$	24.2487			1.44656			0.723278	+	0.690557i	$0.242634\pi$
$282$	4.73205	−	4.73205i	0.281790	−	0.281790i
$283$	1.43782	−	5.36603i	0.0854697	−	0.318977i	−0.909933	−	0.414755i	$-0.863867\pi$
$283$	1.43782	−	5.36603i	0.0854697	−	0.318977i	0.995403	+	0.0957780i	$0.0305339\pi$
$284$			17.0718i			1.01302i
$285$	−0.803848	+	3.92820i	−0.0476158	+	0.232687i
$286$	−8.19615	−	14.1962i	−0.484649	−	0.839436i
$287$	16.1603	+	5.59808i	0.953910	+	0.330444i
$288$	−4.00000	−	14.9282i	−0.235702	−	0.879653i
$289$	−0.866025	−	0.500000i	−0.0509427	−	0.0294118i
$290$	−7.63397	−	1.56218i	−0.448282	−	0.0917342i
$291$	−6.16987	+	3.56218i	−0.361684	+	0.208819i
$292$	5.80385	−	21.6603i	0.339644	−	1.26757i
$293$	−6.19615	−	6.19615i	−0.361983	−	0.361983i	0.502560	−	0.864543i	$-0.332392\pi$
$293$	−6.19615	−	6.19615i	−0.361983	−	0.361983i	−0.864543	+	0.502560i	$0.832392\pi$
$294$	−5.07180	−	0.732051i	−0.295793	−	0.0426941i
$295$	−4.92820	+	9.85641i	−0.286931	+	0.573862i
$296$	−2.53590	+	4.39230i	−0.147396	+	0.255298i
$297$	2.09808	−	7.83013i	0.121743	−	0.454350i
$298$	7.29423	−	1.95448i	0.422543	−	0.113220i
$299$	−21.2942	−	12.2942i	−1.23148	−	0.710994i
$300$	3.19615	−	4.07180i	0.184530	−	0.235085i
$301$	1.03590	+	2.13397i	0.0597082	+	0.123000i
$302$	8.85641	−	33.0526i	0.509629	−	1.90196i
$303$	7.06218	−	1.89230i	0.405712	−	0.108710i
$304$	−12.0000	−	6.92820i	−0.688247	−	0.397360i
$305$	−0.526279	−	8.76795i	−0.0301347	−	0.502051i
$306$	−16.3923			−0.937086
$307$	21.7583	−	21.7583i	1.24181	−	1.24181i	0.282565	−	0.959248i	$-0.408815\pi$
$307$	21.7583	−	21.7583i	1.24181	−	1.24181i	0.959248	−	0.282565i	$-0.0911854\pi$
$308$	−14.1962	+	2.73205i	−0.808901	+	0.155673i
$309$	−2.85641			−0.162495
$310$	0.588457	−	0.196152i	0.0334221	−	0.0111407i
$311$	−9.58846	+	5.53590i	−0.543712	+	0.313912i	−0.746582	−	0.665294i	$-0.768306\pi$
$311$	−9.58846	+	5.53590i	−0.543712	+	0.313912i	0.202870	+	0.979206i	$0.434973\pi$
$312$	1.60770	−	6.00000i	0.0910178	−	0.339683i
$313$	8.12436	+	30.3205i	0.459216	+	1.71382i	0.675389	+	0.737461i	$0.263976\pi$
$313$	8.12436	+	30.3205i	0.459216	+	1.71382i	−0.216173	+	0.976355i	$0.569358\pi$
$314$	5.53590	+	9.58846i	0.312409	+	0.541108i
$315$	4.36603	−	15.5622i	0.245998	−	0.876829i
$316$	−0.928203	+	1.60770i	−0.0522155	+	0.0904399i
$317$	9.83013	−	2.63397i	0.552115	−	0.147939i	0.0280336	−	0.999607i	$-0.491075\pi$
$317$	9.83013	−	2.63397i	0.552115	−	0.147939i	0.524081	+	0.851668i	$0.324409\pi$
$318$	−8.19615	+	2.19615i	−0.459617	+	0.123154i
$319$	5.83013	−	3.36603i	0.326424	−	0.188461i
$320$	9.85641	+	14.9282i	0.550990	+	0.834512i
$321$			6.66025i			0.371739i
$322$	−16.3923	+	14.1962i	−0.913507	+	0.791121i
$323$	−10.3923	+	10.3923i	−0.578243	+	0.578243i
$324$	−11.5359	+	6.66025i	−0.640883	+	0.370014i
$325$	−19.6865	+	7.90192i	−1.09201	+	0.438320i
$326$	14.6603	−	25.3923i	0.811956	−	1.40635i
$327$	3.86603	−	1.03590i	0.213792	−	0.0572853i
$328$	12.9282	+	12.9282i	0.713841	+	0.713841i
$329$	−1.73205	+	24.1244i	−0.0954911	+	1.33002i
$330$	0.267949	+	4.46410i	0.0147501	+	0.245741i
$331$	−9.29423	−	5.36603i	−0.510857	−	0.294943i	0.222329	−	0.974972i	$-0.428634\pi$
$331$	−9.29423	−	5.36603i	−0.510857	−	0.294943i	−0.733186	+	0.680028i	$0.761967\pi$
$332$	−15.1244	+	15.1244i	−0.830057	+	0.830057i
$333$	4.73205	+	1.26795i	0.259315	+	0.0694832i
$334$			24.5885i			1.34542i
$335$	−5.83013	−	17.4904i	−0.318534	−	0.955602i
$336$	−4.53590	−	3.07180i	−0.247454	−	0.167580i
$337$	−2.33975	+	2.33975i	−0.127454	+	0.127454i	−0.767956	−	0.640502i	$-0.778726\pi$
$337$	−2.33975	+	2.33975i	−0.127454	+	0.127454i	0.640502	+	0.767956i	$0.278726\pi$
$338$	−5.00000	+	5.00000i	−0.271964	+	0.271964i
$339$	6.00000	−	3.46410i	0.325875	−	0.188144i
$340$	18.0000	−	6.00000i	0.976187	−	0.325396i
$341$	−0.267949	+	0.464102i	−0.0145103	+	0.0251325i
$342$	−3.46410	+	12.9282i	−0.187317	+	0.699077i
$343$	15.5885	−	10.0000i	0.841698	−	0.539949i
$344$			2.53590i			0.136726i
$345$	3.69615	+	5.59808i	0.198994	+	0.301390i
$346$	30.5885	+	17.6603i	1.64445	+	0.949421i
$347$	−4.91858	+	18.3564i	−0.264043	+	0.985424i	0.698790	+	0.715327i	$0.253722\pi$
$347$	−4.91858	+	18.3564i	−0.264043	+	0.985424i	−0.962833	+	0.270096i	$0.912944\pi$
$348$	2.46410	+	0.660254i	0.132090	+	0.0353933i
$349$			31.9808i			1.71189i	0.517066	+	0.855945i	$0.327024\pi$
$349$			31.9808i			1.71189i	−0.517066	+	0.855945i	$0.672976\pi$
$350$	0.901924	+	18.6865i	0.0482099	+	0.998837i
$351$	−12.5885			−0.671922
$352$	−14.9282	−	4.00000i	−0.795676	−	0.213201i
$353$	−17.1962	−	4.60770i	−0.915259	−	0.245243i	−0.229701	−	0.973261i	$-0.573775\pi$
$353$	−17.1962	−	4.60770i	−0.915259	−	0.245243i	−0.685558	+	0.728018i	$0.740442\pi$
$354$	1.80385	−	3.12436i	0.0958734	−	0.166058i
$355$	−15.9282	+	10.5167i	−0.845381	+	0.558166i
$356$	11.7846	+	6.80385i	0.624583	+	0.360603i
$357$	−4.39230	+	3.80385i	−0.232465	+	0.201321i
$358$	8.80385	−	32.8564i	0.465298	−	1.73652i
$359$	1.09808	+	0.633975i	0.0579542	+	0.0334599i	0.528697	−	0.848811i	$-0.322681\pi$
$359$	1.09808	+	0.633975i	0.0579542	+	0.0334599i	−0.470743	+	0.882270i	$0.656014\pi$
$360$	11.4641	−	12.9282i	0.604211	−	0.681376i
$361$	−3.50000	−	6.06218i	−0.184211	−	0.319062i
$362$	−22.5167	−	22.5167i	−1.18345	−	1.18345i
$363$	1.29423	+	1.29423i	0.0679294	+	0.0679294i
$364$	9.80385	+	20.1962i	0.513861	+	1.05857i
$365$	23.7846	−	7.92820i	1.24494	−	0.414981i
$366$			2.87564i			0.150312i
$367$	−4.06218	+	15.1603i	−0.212044	+	0.791359i	0.775142	+	0.631787i	$0.217678\pi$
$367$	−4.06218	+	15.1603i	−0.212044	+	0.791359i	−0.987186	+	0.159572i	$0.948989\pi$
$368$	−22.3923	+	6.00000i	−1.16728	+	0.312772i
$369$	8.83013	−	15.2942i	0.459678	−	0.796186i
$370$	−5.66025	+	0.339746i	−0.294263	+	0.0176626i
$371$	17.1962	−	25.3923i	0.892780	−	1.31830i
$372$	−0.196152	+	0.0525589i	−0.0101700	+	0.00272505i
$373$	−2.53590	−	9.46410i	−0.131304	−	0.490033i	0.868682	−	0.495370i	$-0.164968\pi$
$373$	−2.53590	−	9.46410i	−0.131304	−	0.490033i	−0.999986	+	0.00533769i	$0.998301\pi$
$374$	−8.19615	+	14.1962i	−0.423813	+	0.734066i
$375$	5.76795	+	0.473721i	0.297856	+	0.0244628i
$376$	−12.9282	+	22.3923i	−0.666721	+	1.15479i
$377$	−7.39230	−	7.39230i	−0.380723	−	0.380723i
$378$	−3.63397	+	10.4904i	−0.186911	+	0.539567i
$379$	18.2487			0.937373			0.468687	−	0.883364i	$-0.344727\pi$
$379$	18.2487			0.937373			0.468687	+	0.883364i	$0.344727\pi$
$380$	−0.928203	−	15.4641i	−0.0476158	−	0.793292i
$381$	4.02628	+	6.97372i	0.206273	+	0.357275i
$382$	28.8564	−	7.73205i	1.47642	−	0.395606i
$383$	1.33013	+	4.96410i	0.0679663	+	0.253654i	0.991547	−	0.129751i	$-0.0414179\pi$
$383$	1.33013	+	4.96410i	0.0679663	+	0.253654i	−0.923580	+	0.383405i	$0.874751\pi$
$384$	−2.92820	−	5.07180i	−0.149429	−	0.258819i
$385$	−11.2942	−	11.5622i	−0.575607	−	0.589263i
$386$	2.66025	−	1.53590i	0.135403	−	0.0781752i
$387$	2.36603	−	0.633975i	0.120272	−	0.0322267i
$388$	19.4641	−	19.4641i	0.988140	−	0.988140i
$389$	−14.4641	−	25.0526i	−0.733359	−	1.27022i	−0.955440	−	0.295187i	$-0.904618\pi$
$389$	−14.4641	−	25.0526i	−0.733359	−	1.27022i	0.222080	−	0.975028i	$-0.428715\pi$
$390$	6.58846	−	2.19615i	0.333620	−	0.111207i
$391$			24.5885i			1.24349i
$392$	19.6603	−	2.33975i	0.992993	−	0.118175i
$393$	−0.196152	−	0.196152i	−0.00989458	−	0.00989458i
$394$		−	24.9282i		−	1.25586i
$395$	−2.07180	+	0.124356i	−0.104243	+	0.00625701i
$396$			14.9282i			0.750170i
$397$	0.758330	+	2.83013i	0.0380595	+	0.142040i	0.982341	−	0.187099i	$-0.0599084\pi$
$397$	0.758330	+	2.83013i	0.0380595	+	0.142040i	−0.944282	+	0.329139i	$0.893242\pi$
$398$	1.26795	−	4.73205i	0.0635566	−	0.237196i
$399$	2.07180	+	4.26795i	0.103720	+	0.213665i
$400$	−7.85641	+	18.3923i	−0.392820	+	0.919615i
$401$	−12.3564	+	21.4019i	−0.617049	+	1.06876i	0.372972	+	0.927843i	$0.378339\pi$
$401$	−12.3564	+	21.4019i	−0.617049	+	1.06876i	−0.990021	+	0.140918i	$0.954994\pi$
$402$	1.56218	+	5.83013i	0.0779143	+	0.290780i
$403$	0.803848	+	0.215390i	0.0400425	+	0.0107294i
$404$	−24.4641	+	14.1244i	−1.21713	+	0.702713i
$405$	−13.3205	−	6.66025i	−0.661901	−	0.330951i
$406$	−8.29423	+	4.02628i	−0.411636	+	0.199821i
$407$	3.46410	−	3.46410i	0.171709	−	0.171709i
$408$	−6.00000	+	1.60770i	−0.297044	+	0.0795928i
$409$	4.69615	+	8.13397i	0.232210	+	0.402199i	0.958458	−	0.285233i	$-0.0920711\pi$
$409$	4.69615	+	8.13397i	0.232210	+	0.402199i	−0.726248	+	0.687432i	$0.758738\pi$
$410$	−4.09808	+	20.0263i	−0.202390	+	0.989027i
$411$	−2.19615	+	3.80385i	−0.108328	+	0.187630i
$412$	10.6603	−	2.85641i	0.525193	−	0.140725i
$413$	2.46410	+	12.8038i	0.121251	+	0.630036i
$414$	11.1962	+	19.3923i	0.550261	+	0.953080i
$415$	−23.4282	−	4.79423i	−1.15005	−	0.235339i
$416$			24.0000i			1.17670i
$417$	−2.36603	−	0.633975i	−0.115865	−	0.0310459i
$418$	9.46410	+	9.46410i	0.462904	+	0.462904i
$419$			18.3923i			0.898523i	0.893400	+	0.449261i	$0.148313\pi$
$419$			18.3923i			0.898523i	−0.893400	+	0.449261i	$0.851687\pi$
$420$	0.0717968	−	6.12436i	0.00350332	−	0.298838i
$421$		−	5.87564i		−	0.286361i	−0.989697	−	0.143181i	$-0.954267\pi$
$421$		−	5.87564i		−	0.286361i	0.989697	−	0.143181i	$-0.0457330\pi$
$422$	−27.4641	+	27.4641i	−1.33693	+	1.33693i
$423$	24.1244	+	6.46410i	1.17297	+	0.314295i
$424$	28.3923	−	16.3923i	1.37885	−	0.796081i
$425$	16.6865	+	13.0981i	0.809416	+	0.635350i
$426$	5.41154	−	3.12436i	0.262190	−	0.151376i
$427$	−6.80385	−	7.85641i	−0.329261	−	0.380198i
$428$	−6.66025	−	24.8564i	−0.321936	−	1.20148i
$429$	−3.00000	+	5.19615i	−0.144841	+	0.250873i
$430$	−2.36603	+	1.56218i	−0.114100	+	0.0753349i
$431$	8.36603	+	14.4904i	0.402977	+	0.697977i	0.994084	−	0.108616i	$-0.0346420\pi$
$431$	8.36603	+	14.4904i	0.402977	+	0.697977i	−0.591106	+	0.806594i	$0.701309\pi$
$432$	−8.39230	+	8.39230i	−0.403775	+	0.403775i
$433$	4.53590	−	4.53590i	0.217981	−	0.217981i	−0.589666	−	0.807647i	$-0.700741\pi$
$433$	4.53590	−	4.53590i	0.217981	−	0.217981i	0.807647	+	0.589666i	$0.200741\pi$
$434$	0.411543	−	0.607695i	0.0197547	−	0.0291703i
$435$	0.901924	+	2.70577i	0.0432439	+	0.129732i
$436$	−13.3923	+	7.73205i	−0.641375	+	0.370298i
$437$	19.3923	+	5.19615i	0.927660	+	0.248566i
$438$	−7.92820	+	2.12436i	−0.378824	+	0.101506i
$439$	−14.6603	+	25.3923i	−0.699696	+	1.21191i	0.268876	+	0.963175i	$0.413348\pi$
$439$	−14.6603	+	25.3923i	−0.699696	+	1.21191i	−0.968572	+	0.248734i	$0.919986\pi$
$440$	−5.46410	−	16.3923i	−0.260491	−	0.781472i
$441$	−7.09808	−	17.7583i	−0.338004	−	0.845635i
$442$	24.5885	+	6.58846i	1.16955	+	0.313381i
$443$	5.64359	+	21.0622i	0.268135	+	1.00069i	0.960303	+	0.278958i	$0.0899890\pi$
$443$	5.64359	+	21.0622i	0.268135	+	1.00069i	−0.692168	+	0.721736i	$0.743344\pi$
$444$	1.85641			0.0881012
$445$	0.911543	+	15.1865i	0.0432113	+	0.719911i
$446$	11.8564			0.561417
$447$	−1.95448	−	1.95448i	−0.0924439	−	0.0924439i
$448$	20.0000	+	6.92820i	0.944911	+	0.327327i
$449$		−	12.8038i		−	0.604251i	−0.953268	−	0.302125i	$-0.902304\pi$
$449$		−	12.8038i		−	0.604251i	0.953268	−	0.302125i	$-0.0976962\pi$
$450$	19.1244	+	2.73205i	0.901531	+	0.128790i
$451$	−8.83013	−	15.2942i	−0.415794	−	0.720177i
$452$	−18.9282	+	18.9282i	−0.890308	+	0.890308i
$453$	−12.0981	+	3.24167i	−0.568417	+	0.152307i
$454$	−11.3923	−	19.7321i	−0.534667	−	0.926071i
$455$	−12.8038	+	21.5885i	−0.600254	+	1.01208i
$456$			5.07180i			0.237509i
$457$	0.0717968	+	0.267949i	0.00335851	+	0.0125341i	0.967585	−	0.252547i	$-0.0812681\pi$
$457$	0.0717968	+	0.267949i	0.00335851	+	0.0125341i	−0.964226	+	0.265081i	$0.914601\pi$
$458$	−3.12436	−	11.6603i	−0.145992	−	0.544848i
$459$	6.29423	+	10.9019i	0.293789	+	0.508858i
$460$	−19.3923	−	17.1962i	−0.904171	−	0.801775i
$461$	−39.8564			−1.85630			−0.928149	−	0.372209i	$-0.878600\pi$
$461$	−39.8564			−1.85630			−0.928149	+	0.372209i	$0.878600\pi$
$462$	3.46410	+	4.00000i	0.161165	+	0.186097i
$463$	−7.83013	−	7.83013i	−0.363897	−	0.363897i	0.501349	−	0.865245i	$-0.332837\pi$
$463$	−7.83013	−	7.83013i	−0.363897	−	0.363897i	−0.865245	+	0.501349i	$0.832837\pi$
$464$	−9.85641			−0.457572
$465$	−0.169873	−	0.150635i	−0.00787767	−	0.00698554i
$466$	−9.00000	−	5.19615i	−0.416917	−	0.240707i
$467$	2.76795	+	10.3301i	0.128085	+	0.478021i	0.999931	−	0.0117598i	$-0.00374336\pi$
$467$	2.76795	+	10.3301i	0.128085	+	0.478021i	−0.871845	+	0.489781i	$0.837077\pi$
$468$	22.3923	−	6.00000i	1.03508	−	0.277350i
$469$	−18.0622	−	12.2321i	−0.834034	−	0.564824i
$470$	−28.8564	+	1.73205i	−1.33105	+	0.0798935i
$471$	2.02628	−	3.50962i	0.0933660	−	0.161715i
$472$	−3.60770	+	13.4641i	−0.166058	+	0.619736i
$473$	0.633975	−	2.36603i	0.0291502	−	0.108790i
$474$	0.679492			0.0312101
$475$	13.8564	−	10.3923i	0.635776	−	0.476832i
$476$	12.5885	−	18.5885i	0.576991	−	0.852001i
$477$	−22.3923	−	22.3923i	−1.02527	−	1.02527i
$478$	1.26795	−	1.26795i	0.0579946	−	0.0579946i
$479$	−7.09808	−	12.2942i	−0.324319	−	0.561738i	0.657055	−	0.753843i	$-0.271802\pi$
$479$	−7.09808	−	12.2942i	−0.324319	−	0.561738i	−0.981374	+	0.192105i	$0.938469\pi$
$480$	2.92820	−	5.85641i	0.133654	−	0.267307i
$481$	−6.58846	−	3.80385i	−0.300408	−	0.173441i
$482$	−0.535898	−	0.143594i	−0.0244095	−	0.00654051i
$483$	7.50000	+	2.59808i	0.341262	+	0.118217i
$484$	−6.12436	−	3.53590i	−0.278380	−	0.160723i
$485$	30.1506	+	6.16987i	1.36907	+	0.280160i
$486$	15.1244	+	8.73205i	0.686055	+	0.396094i
$487$	−0.0980762	−	0.0262794i	−0.00444426	−	0.00119084i	0.256596	−	0.966519i	$-0.417399\pi$
$487$	−0.0980762	−	0.0262794i	−0.00444426	−	0.00119084i	−0.261040	+	0.965328i	$0.584066\pi$
$488$	−2.87564	−	10.7321i	−0.130174	−	0.485817i
$489$	−10.7321			−0.485320
$490$	14.2942	+	16.9019i	0.645747	+	0.763551i
$491$		−	1.80385i		−	0.0814065i	−0.999171	−	0.0407033i	$-0.987040\pi$
$491$		−	1.80385i		−	0.0814065i	0.999171	−	0.0407033i	$-0.0129598\pi$
$492$	1.73205	−	6.46410i	0.0780869	−	0.291424i
$493$	−2.70577	+	10.0981i	−0.121862	+	0.454794i
$494$	10.3923	−	18.0000i	0.467572	−	0.809858i
$495$	−13.9282	+	9.19615i	−0.626026	+	0.413336i
$496$	0.679492	−	0.392305i	0.0305101	−	0.0176150i
$497$	−7.39230	+	21.3397i	−0.331590	+	0.957218i
$498$	7.56218	+	2.02628i	0.338869	+	0.0907998i
$499$	−15.7583	+	27.2942i	−0.705440	+	1.22186i	0.261093	+	0.965314i	$0.415917\pi$
$499$	−15.7583	+	27.2942i	−0.705440	+	1.22186i	−0.966533	+	0.256544i	$0.917416\pi$
$500$	−22.0000	+	4.00000i	−0.983870	+	0.178885i
$501$	7.79423	−	4.50000i	0.348220	−	0.201045i
$502$	−2.33975	−	2.33975i	−0.104428	−	0.104428i
$503$	−13.6865	+	13.6865i	−0.610252	+	0.610252i	−0.943012	−	0.332759i	$-0.892020\pi$
$503$	−13.6865	+	13.6865i	−0.610252	+	0.610252i	0.332759	+	0.943012i	$0.392020\pi$
$504$	1.46410	−	20.3923i	0.0652163	−	0.908345i
$505$	−28.2487	−	14.1244i	−1.25705	−	0.628526i
$506$	22.3923			0.995459
$507$	2.50000	+	0.669873i	0.111029	+	0.0297501i
$508$	−22.0000	−	22.0000i	−0.976092	−	0.976092i
$509$	23.4282	+	13.5263i	1.03844	+	0.599542i	0.919390	−	0.393347i	$-0.128683\pi$
$509$	23.4282	+	13.5263i	1.03844	+	0.599542i	0.119047	+	0.992889i	$0.462016\pi$
$510$	−5.19615	−	4.60770i	−0.230089	−	0.204032i
$511$	16.6340	−	24.5622i	0.735844	−	1.08657i
$512$	16.0000	+	16.0000i	0.707107	+	0.707107i
$513$	9.92820	−	2.66025i	0.438341	−	0.117453i
$514$	−8.78461	−	5.07180i	−0.387473	−	0.223707i
$515$	9.23205	+	8.18653i	0.406813	+	0.360742i
$516$	0.803848	−	0.464102i	0.0353874	−	0.0204309i
$517$	17.6603	−	17.6603i	0.776697	−	0.776697i
$518$	−5.07180	+	4.39230i	−0.222842	+	0.192987i
$519$		−	12.9282i		−	0.567485i
$520$	−22.3923	+	14.7846i	−0.981968	+	0.648348i
$521$	−13.3923	+	7.73205i	−0.586728	+	0.338747i	−0.763802	−	0.645450i	$-0.776670\pi$
$521$	−13.3923	+	7.73205i	−0.586728	+	0.338747i	0.177075	+	0.984197i	$0.443337\pi$
$522$	2.46410	+	9.19615i	0.107851	+	0.402505i
$523$	32.4904	−	8.70577i	1.42071	−	0.380677i	0.534971	−	0.844870i	$-0.320322\pi$
$523$	32.4904	−	8.70577i	1.42071	−	0.380677i	0.885734	+	0.464193i	$0.153656\pi$
$524$	0.928203	+	0.535898i	0.0405487	+	0.0234108i
$525$	5.75833	−	3.70577i	0.251314	−	0.161733i
$526$	26.4904	−	15.2942i	1.15504	−	0.666860i
$527$	−0.215390	−	0.803848i	−0.00938255	−	0.0350162i
$528$	1.46410	+	5.46410i	0.0637168	+	0.237795i
$529$	9.16987	−	5.29423i	0.398690	−	0.230184i
$530$	32.7846	+	16.3923i	1.42407	+	0.712036i
$531$	13.4641			0.584292
$532$	−12.0000	−	13.8564i	−0.520266	−	0.600751i
$533$	−19.3923	+	19.3923i	−0.839974	+	0.839974i
$534$		−	4.98076i		−	0.215539i
$535$	19.0885	−	21.5263i	0.825266	−	0.930662i
$536$	−11.6603	−	20.1962i	−0.503646	−	0.872341i
$537$	−12.0263	+	3.22243i	−0.518972	+	0.139058i
$538$	14.2942	+	3.83013i	0.616268	+	0.165129i
$539$	−18.9282	−	2.73205i	−0.815295	−	0.117678i
$540$	−13.0000	−	2.66025i	−0.559431	−	0.114479i
$541$	−13.7942	−	7.96410i	−0.593060	−	0.342403i	0.173246	−	0.984879i	$-0.444574\pi$
$541$	−13.7942	−	7.96410i	−0.593060	−	0.342403i	−0.766307	+	0.642475i	$0.777908\pi$
$542$	−4.39230	−	16.3923i	−0.188666	−	0.704110i
$543$	−3.01666	+	11.2583i	−0.129457	+	0.483141i
$544$	20.7846	−	12.0000i	0.891133	−	0.514496i
$545$	−15.4641	−	7.73205i	−0.662409	−	0.331205i
$546$	4.60770	−	6.80385i	0.197191	−	0.291178i
$547$	11.4904	+	11.4904i	0.491293	+	0.491293i	0.908714	−	0.417420i	$-0.137066\pi$
$547$	11.4904	+	11.4904i	0.491293	+	0.491293i	−0.417420	+	0.908714i	$0.637066\pi$
$548$	4.39230	−	16.3923i	0.187630	−	0.700245i
$549$	−9.29423	+	5.36603i	−0.396668	+	0.229016i
$550$	11.9282	−	15.1962i	0.508620	−	0.647966i
$551$	7.39230	+	4.26795i	0.314923	+	0.181821i
$552$	6.00000	+	6.00000i	0.255377	+	0.255377i
$553$	−1.85641	+	1.60770i	−0.0789424	+	0.0683662i
$554$	17.7846	−	10.2679i	0.755596	−	0.436243i
$555$	1.14359	+	1.73205i	0.0485428	+	0.0735215i
$556$	9.46410			0.401367
$557$	−8.24167	+	30.7583i	−0.349211	+	1.30327i	0.538404	+	0.842687i	$0.319027\pi$
$557$	−8.24167	+	30.7583i	−0.349211	+	1.30327i	−0.887615	+	0.460586i	$0.847639\pi$
$558$	−0.535898	−	0.535898i	−0.0226864	−	0.0226864i
$559$	−3.80385			−0.160886
$560$	5.85641	+	22.9282i	0.247478	+	0.968893i
$561$	6.00000			0.253320
$562$	24.2487	+	24.2487i	1.02287	+	1.02287i
$563$	1.35641	−	5.06218i	0.0571657	−	0.213345i	−0.931435	−	0.363909i	$-0.881442\pi$
$563$	1.35641	−	5.06218i	0.0571657	−	0.213345i	0.988600	+	0.150563i	$0.0481087\pi$
$564$	9.46410			0.398511
$565$	−29.3205	−	6.00000i	−1.23352	−	0.252422i
$566$	6.80385	−	3.92820i	0.285987	−	0.165115i
$567$	−17.3038	+	3.33013i	−0.726693	+	0.139852i
$568$	−17.0718	+	17.0718i	−0.716317	+	0.716317i
$569$	−29.1962	−	16.8564i	−1.22397	−	0.706657i	−0.258205	−	0.966090i	$-0.583131\pi$
$569$	−29.1962	−	16.8564i	−1.22397	−	0.706657i	−0.965761	+	0.259433i	$0.916464\pi$
$570$	−4.73205	+	3.12436i	−0.198204	+	0.130865i
$571$	26.7846	−	15.4641i	1.12090	−	0.647153i	0.179270	−	0.983800i	$-0.442626\pi$
$571$	26.7846	−	15.4641i	1.12090	−	0.647153i	0.941631	+	0.336647i	$0.109293\pi$
$572$	6.00000	−	22.3923i	0.250873	−	0.936269i
$573$	−7.73205	−	7.73205i	−0.323011	−	0.323011i
$574$	10.5622	+	21.7583i	0.440857	+	0.908175i
$575$	4.09808	−	28.6865i	0.170902	−	1.19631i
$576$	10.9282	−	18.9282i	0.455342	−	0.788675i
$577$	9.49038	−	35.4186i	0.395090	−	1.47449i	−0.426538	−	0.904470i	$-0.640267\pi$
$577$	9.49038	−	35.4186i	0.395090	−	1.47449i	0.821627	−	0.570025i	$-0.193067\pi$
$578$	−0.366025	−	1.36603i	−0.0152246	−	0.0568192i
$579$	−0.973721	−	0.562178i	−0.0404664	−	0.0233633i
$580$	−6.07180	−	9.19615i	−0.252118	−	0.381849i
$581$	−25.4545	+	12.3564i	−1.05603	+	0.512630i
$582$	−9.73205	−	2.60770i	−0.403406	−	0.108092i
$583$	−30.5885	+	8.19615i	−1.26684	+	0.339450i
$584$	27.4641	−	15.8564i	1.13647	−	0.656143i
$585$	19.3923	+	17.1962i	0.801773	+	0.710973i
$586$		−	12.3923i		−	0.511921i
$587$	9.00000	−	9.00000i	0.371470	−	0.371470i	−0.496543	−	0.868012i	$-0.665397\pi$
$587$	9.00000	−	9.00000i	0.371470	−	0.371470i	0.868012	+	0.496543i	$0.165397\pi$
$588$	−4.33975	−	5.80385i	−0.178968	−	0.239347i
$589$	−0.679492			−0.0279980
$590$	−14.7846	+	4.92820i	−0.608673	+	0.202891i
$591$	−7.90192	+	4.56218i	−0.325042	+	0.187663i
$592$	−6.92820	+	1.85641i	−0.284747	+	0.0762978i
$593$	−3.80385	−	14.1962i	−0.156205	−	0.582966i	−0.998999	−	0.0447296i	$-0.985757\pi$
$593$	−3.80385	−	14.1962i	−0.156205	−	0.582966i	0.842794	−	0.538237i	$-0.180909\pi$
$594$	9.92820	−	5.73205i	0.407359	−	0.235189i
$595$	25.0981	+	0.294229i	1.02892	+	0.0120622i
$596$	9.24871	+	5.33975i	0.378842	+	0.218725i
$597$	−1.73205	+	0.464102i	−0.0708881	+	0.0189944i
$598$	−9.00000	−	33.5885i	−0.368037	−	1.37353i
$599$	−21.0000	+	12.1244i	−0.858037	+	0.495388i	−0.863354	−	0.504598i	$-0.831641\pi$
$599$	−21.0000	+	12.1244i	−0.858037	+	0.495388i	0.00531761	+	0.999986i	$0.498307\pi$
$600$	7.26795	−	0.875644i	0.296713	−	0.0357480i
$601$		−	7.60770i		−	0.310324i	−0.987889	−	0.155162i	$-0.950410\pi$
$601$		−	7.60770i		−	0.310324i	0.987889	−	0.155162i	$-0.0495900\pi$
$602$	−1.09808	+	3.16987i	−0.0447542	+	0.129194i
$603$	−15.9282	+	15.9282i	−0.648647	+	0.648647i
$604$	41.9090	−	24.1962i	1.70525	−	0.984527i
$605$	−0.473721	−	7.89230i	−0.0192595	−	0.320868i
$606$	8.95448	+	5.16987i	0.363751	+	0.210012i
$607$	11.1603	−	2.99038i	0.452981	−	0.121376i	−0.0251130	−	0.999685i	$-0.507995\pi$
$607$	11.1603	−	2.99038i	0.452981	−	0.121376i	0.478094	+	0.878309i	$0.341328\pi$
$608$	−5.07180	−	18.9282i	−0.205689	−	0.767640i
$609$	2.79423	+	1.89230i	0.113228	+	0.0766801i
$610$	8.24167	−	9.29423i	0.333695	−	0.376312i
$611$	−33.5885	−	19.3923i	−1.35884	−	0.784529i
$612$	−16.3923	−	16.3923i	−0.662620	−	0.662620i
$613$	−13.5622	−	3.63397i	−0.547771	−	0.146775i	−0.0256889	−	0.999670i	$-0.508178\pi$
$613$	−13.5622	−	3.63397i	−0.547771	−	0.146775i	−0.522082	+	0.852895i	$0.674845\pi$
$614$	43.5167			1.75619
$615$	7.09808	−	2.36603i	0.286222	−	0.0954074i
$616$	−16.9282	−	11.4641i	−0.682057	−	0.461902i
$617$	12.9282	−	12.9282i	0.520470	−	0.520470i	−0.397243	−	0.917713i	$-0.630033\pi$
$617$	12.9282	−	12.9282i	0.520470	−	0.520470i	0.917713	+	0.397243i	$0.130033\pi$
$618$	−2.85641	−	2.85641i	−0.114902	−	0.114902i
$619$	−0.294229	+	0.169873i	−0.0118260	+	0.00682777i	−0.505901	−	0.862591i	$-0.668840\pi$
$619$	−0.294229	+	0.169873i	−0.0118260	+	0.00682777i	0.494075	+	0.869419i	$0.335507\pi$
$620$	0.784610	+	0.392305i	0.0315107	+	0.0157553i
$621$	8.59808	−	14.8923i	0.345029	−	0.597608i
$622$	−15.1244	−	4.05256i	−0.606431	−	0.162493i
$623$	11.7846	+	13.6077i	0.472140	+	0.545181i
$624$	7.60770	−	4.39230i	0.304552	−	0.175833i
$625$	−17.2846	−	18.0622i	−0.691384	−	0.722487i
$626$	−22.1962	+	38.4449i	−0.887137	+	1.53657i
$627$	1.26795	−	4.73205i	0.0506370	−	0.188980i
$628$	−4.05256	+	15.1244i	−0.161715	+	0.603527i
$629$			7.60770i			0.303339i
$630$	19.9282	−	11.1962i	0.793959	−	0.446065i
$631$	−10.7321			−0.427236			−0.213618	−	0.976917i	$-0.568525\pi$
$631$	−10.7321			−0.427236			−0.213618	+	0.976917i	$0.568525\pi$
$632$	−2.53590	+	0.679492i	−0.100873	+	0.0270287i
$633$	13.7321	+	3.67949i	0.545800	+	0.146247i
$634$	12.4641	+	7.19615i	0.495013	+	0.285796i
$635$	6.97372	−	34.0788i	0.276744	−	1.35238i
$636$	−10.3923	−	6.00000i	−0.412082	−	0.237915i
$637$	3.50962	+	29.4904i	0.139056	+	1.16845i
$638$	9.19615	+	2.46410i	0.364079	+	0.0975547i
$639$	20.1962	+	11.6603i	0.798947	+	0.461273i
$640$	−5.07180	+	24.7846i	−0.200480	+	0.979698i
$641$	7.66987	+	13.2846i	0.302942	+	0.524711i	0.976801	−	0.214149i	$-0.0686979\pi$
$641$	7.66987	+	13.2846i	0.302942	+	0.524711i	−0.673859	+	0.738860i	$0.735365\pi$
$642$	−6.66025	+	6.66025i	−0.262859	+	0.262859i
$643$	9.00000	+	9.00000i	0.354925	+	0.354925i	0.861938	−	0.507013i	$-0.169250\pi$
$643$	9.00000	+	9.00000i	0.354925	+	0.354925i	−0.507013	+	0.861938i	$0.669250\pi$
$644$	−30.5885	−	2.19615i	−1.20535	−	0.0865405i
$645$	0.928203	+	0.464102i	0.0365480	+	0.0182740i
$646$	−20.7846			−0.817760
$647$	3.74167	−	13.9641i	0.147100	−	0.548985i	−0.852553	−	0.522641i	$-0.824947\pi$
$647$	3.74167	−	13.9641i	0.147100	−	0.548985i	0.999653	−	0.0263442i	$-0.00838660\pi$
$648$	−18.1962	−	4.87564i	−0.714812	−	0.191533i
$649$	6.73205	−	11.6603i	0.264256	−	0.457705i
$650$	−27.5885	−	11.7846i	−1.08211	−	0.462230i
$651$	−0.267949	−	0.0192379i	−0.0105018	−	0.000753992i
$652$	40.0526	−	10.7321i	1.56858	−	0.420300i
$653$	8.41858	+	31.4186i	0.329445	+	1.22950i	0.909768	+	0.415118i	$0.136260\pi$
$653$	8.41858	+	31.4186i	0.329445	+	1.22950i	−0.580323	+	0.814386i	$0.697074\pi$
$654$	4.90192	+	2.83013i	0.191680	+	0.110667i
$655$	0.0717968	+	1.19615i	0.00280533	+	0.0467375i
$656$			25.8564i			1.00952i
$657$	−21.6603	−	21.6603i	−0.845047	−	0.845047i
$658$	−25.8564	+	22.3923i	−1.00799	+	0.872943i
$659$	4.67949			0.182287			0.0911436	−	0.995838i	$-0.470948\pi$
$659$	4.67949			0.182287			0.0911436	+	0.995838i	$0.470948\pi$
$660$	−4.19615	+	4.73205i	−0.163335	+	0.184195i
$661$	−13.0359	−	22.5788i	−0.507038	−	0.878215i	−0.999967	−	0.00814557i	$-0.997407\pi$
$661$	−13.0359	−	22.5788i	−0.507038	−	0.878215i	0.492929	−	0.870069i	$-0.335926\pi$
$662$	−3.92820	−	14.6603i	−0.152674	−	0.569787i
$663$	−2.41154	−	9.00000i	−0.0936566	−	0.349531i
$664$	−30.2487			−1.17388
$665$	5.53590	−	19.7321i	0.214673	−	0.765176i
$666$	3.46410	+	6.00000i	0.134231	+	0.232495i
$667$	13.7942	−	3.69615i	0.534115	−	0.143116i
$668$	−24.5885	+	24.5885i	−0.951356	+	0.951356i
$669$	−2.16987	−	3.75833i	−0.0838921	−	0.145305i
$670$	11.6603	−	23.3205i	0.450475	−	0.900950i
$671$			10.7321i			0.414306i
$672$	−1.46410	−	7.60770i	−0.0564789	−	0.293473i
$673$	0.196152	+	0.196152i	0.00756112	+	0.00756112i	0.710877	−	0.703316i	$-0.248298\pi$
$673$	0.196152	+	0.196152i	0.00756112	+	0.00756112i	−0.703316	+	0.710877i	$0.748298\pi$
$674$	−4.67949			−0.180247
$675$	−5.52628	−	13.7679i	−0.212707	−	0.529929i
$676$	−10.0000			−0.384615
$677$	7.56218	+	28.2224i	0.290638	+	1.08468i	0.944620	+	0.328166i	$0.106431\pi$
$677$	7.56218	+	28.2224i	0.290638	+	1.08468i	−0.653982	+	0.756510i	$0.726903\pi$
$678$	9.46410	+	2.53590i	0.363467	+	0.0973906i
$679$	32.7583	−	15.9019i	1.25715	−	0.610260i
$680$	24.0000	+	12.0000i	0.920358	+	0.460179i
$681$	−4.16987	+	7.22243i	−0.159790	+	0.276764i
$682$	−0.732051	+	0.196152i	−0.0280317	+	0.00751106i
$683$	6.13397	+	1.64359i	0.234710	+	0.0628904i	0.374257	−	0.927325i	$-0.377898\pi$
$683$	6.13397	+	1.64359i	0.234710	+	0.0628904i	−0.139547	+	0.990215i	$0.544565\pi$
$684$	−16.3923	+	9.46410i	−0.626775	+	0.361869i
$685$	18.0000	−	6.00000i	0.687745	−	0.229248i
$686$	25.5885	+	5.58846i	0.976972	+	0.213368i
$687$	−3.12436	+	3.12436i	−0.119202	+	0.119202i
$688$	−2.53590	+	2.53590i	−0.0966802	+	0.0966802i
$689$	24.5885	+	42.5885i	0.936746	+	1.62249i
$690$	−1.90192	+	9.29423i	−0.0724050	+	0.353825i
$691$	−0.758330	+	1.31347i	−0.0288482	+	0.0499666i	−0.880089	−	0.474809i	$-0.842517\pi$
$691$	−0.758330	+	1.31347i	−0.0288482	+	0.0499666i	0.851241	+	0.524775i	$0.175851\pi$
$692$	12.9282	+	48.2487i	0.491457	+	1.83414i
$693$	−6.46410	+	18.6603i	−0.245551	+	0.708844i
$694$	−23.2750	+	13.4378i	−0.883507	+	0.510093i
$695$	5.83013	+	8.83013i	0.221149	+	0.334946i
$696$	1.80385	+	3.12436i	0.0683747	+	0.118428i
$697$	26.4904	+	7.09808i	1.00339	+	0.268859i
$698$	−31.9808	+	31.9808i	−1.21049	+	1.21049i
$699$			3.80385i			0.143875i
$700$	−17.7846	+	19.5885i	−0.672195	+	0.740374i
$701$			17.9808i			0.679124i	0.940584	+	0.339562i	$0.110279\pi$
$701$			17.9808i			0.679124i	−0.940584	+	0.339562i	$0.889721\pi$
$702$	−12.5885	−	12.5885i	−0.475121	−	0.475121i
$703$	6.00000	+	1.60770i	0.226294	+	0.0606354i
$704$	−10.9282	−	18.9282i	−0.411872	−	0.713384i
$705$	5.83013	+	8.83013i	0.219575	+	0.332562i
$706$	−12.5885	−	21.8038i	−0.473773	−	0.820599i
$707$	−36.6962	+	7.06218i	−1.38010	+	0.265601i
$708$	4.92820	−	1.32051i	0.185213	−	0.0496277i
$709$	1.03590	−	1.79423i	0.0389040	−	0.0673837i	−0.845918	−	0.533313i	$-0.820947\pi$
$709$	1.03590	−	1.79423i	0.0389040	−	0.0673837i	0.884822	+	0.465930i	$0.154280\pi$
$710$	−26.4449	−	5.41154i	−0.992458	−	0.203092i
$711$	1.26795	+	2.19615i	0.0475518	+	0.0823622i
$712$	4.98076	+	18.5885i	0.186662	+	0.696632i
$713$	−0.803848	+	0.803848i	−0.0301043	+	0.0301043i
$714$	−8.19615	−	0.588457i	−0.306733	−	0.0220225i
$715$	24.5885	−	8.19615i	0.919556	−	0.306519i
$716$	41.6603	−	24.0526i	1.55692	−	0.898886i
$717$	−0.633975	−	0.169873i	−0.0236762	−	0.00634402i
$718$	0.464102	+	1.73205i	0.0173201	+	0.0646396i
$719$	3.63397	−	6.29423i	0.135524	−	0.234735i	−0.790273	−	0.612755i	$-0.790061\pi$
$719$	3.63397	−	6.29423i	0.135524	−	0.234735i	0.925798	+	0.378019i	$0.123395\pi$
$720$	24.3923	−	1.46410i	0.909048	−	0.0545638i
$721$	14.5622	+	1.04552i	0.542324	+	0.0389371i
$722$	2.56218	−	9.56218i	0.0953544	−	0.355867i
$723$	0.0525589	+	0.196152i	0.00195469	+	0.00729499i
$724$		−	45.0333i		−	1.67365i
$725$	4.83975	−	11.3301i	0.179744	−	0.420790i
$726$			2.58846i			0.0960667i
$727$	1.70577	+	1.70577i	0.0632636	+	0.0632636i	0.738031	−	0.674767i	$-0.235756\pi$
$727$	1.70577	+	1.70577i	0.0632636	+	0.0632636i	−0.674767	+	0.738031i	$0.735756\pi$
$728$	−10.3923	+	30.0000i	−0.385164	+	1.11187i
$729$			13.5885i			0.503276i
$730$	31.7128	+	15.8564i	1.17374	+	0.586872i
$731$	1.90192	+	3.29423i	0.0703452	+	0.121841i
$732$	−2.87564	+	2.87564i	−0.106287	+	0.106287i
$733$	−21.2942	+	5.70577i	−0.786520	+	0.210747i	−0.629657	−	0.776873i	$-0.716805\pi$
$733$	−21.2942	+	5.70577i	−0.786520	+	0.210747i	−0.156863	+	0.987620i	$0.550138\pi$
$734$	−19.2224	+	11.0981i	−0.709513	+	0.409637i
$735$	2.74167	−	7.62436i	0.101128	−	0.281229i
$736$	−28.3923	−	16.3923i	−1.04655	−	0.604228i
$737$	5.83013	+	21.7583i	0.214755	+	0.801478i
$738$	24.1244	−	6.46410i	0.888030	−	0.237947i
$739$	−2.83013	−	4.90192i	−0.104108	−	0.180320i	0.809265	−	0.587443i	$-0.199865\pi$
$739$	−2.83013	−	4.90192i	−0.104108	−	0.180320i	−0.913373	+	0.407123i	$0.866532\pi$
$740$	−6.00000	−	5.32051i	−0.220564	−	0.195586i
$741$	−7.60770			−0.279476
$742$	42.5885	−	8.19615i	1.56347	−	0.300890i
$743$	6.41858	+	6.41858i	0.235475	+	0.235475i	0.814973	−	0.579498i	$-0.196751\pi$
$743$	6.41858	+	6.41858i	0.235475	+	0.235475i	−0.579498	+	0.814973i	$0.696751\pi$
$744$	−0.248711	−	0.143594i	−0.00911820	−	0.00526439i
$745$	0.715390	+	11.9186i	0.0262099	+	0.436663i
$746$	6.92820	−	12.0000i	0.253660	−	0.439351i
$747$	7.56218	+	28.2224i	0.276686	+	1.03260i
$748$	−22.3923	+	6.00000i	−0.818744	+	0.219382i
$749$	2.43782	−	33.9545i	0.0890761	−	1.24067i
$750$	5.29423	+	6.24167i	0.193318	+	0.227914i
$751$	−5.19615	+	9.00000i	−0.189610	+	0.328415i	−0.945120	−	0.326722i	$-0.894056\pi$
$751$	−5.19615	+	9.00000i	−0.189610	+	0.328415i	0.755510	+	0.655137i	$0.227389\pi$
$752$	−35.3205	+	9.46410i	−1.28801	+	0.345120i
$753$	−0.313467	+	1.16987i	−0.0114234	+	0.0426325i
$754$		−	14.7846i		−	0.538424i
$755$	48.3923	+	24.1962i	1.76118	+	0.880588i
$756$	−14.1244	+	6.85641i	−0.513698	+	0.249365i
$757$	−1.05256	−	1.05256i	−0.0382559	−	0.0382559i	0.687720	−	0.725976i	$-0.258612\pi$
$757$	−1.05256	−	1.05256i	−0.0382559	−	0.0382559i	−0.725976	+	0.687720i	$0.758612\pi$
$758$	18.2487	+	18.2487i	0.662823	+	0.662823i
$759$	−4.09808	−	7.09808i	−0.148751	−	0.257644i
$760$	14.5359	−	16.3923i	0.527272	−	0.594611i
$761$	−41.1962	−	23.7846i	−1.49336	−	0.862191i	−0.493388	−	0.869809i	$-0.664242\pi$
$761$	−41.1962	−	23.7846i	−1.49336	−	0.862191i	−0.999971	+	0.00761770i	$0.997575\pi$
$762$	−2.94744	+	11.0000i	−0.106775	+	0.398488i
$763$	−20.0885	+	3.86603i	−0.727251	+	0.139960i
$764$	36.5885	+	21.1244i	1.32372	+	0.764252i
$765$	5.19615	−	25.3923i	0.187867	−	0.918061i
$766$	−3.63397	+	6.29423i	−0.131301	+	0.227420i
$767$	−20.1962	−	5.41154i	−0.729241	−	0.195399i
$768$	2.14359	−	8.00000i	0.0773503	−	0.288675i
$769$	46.6410			1.68192			0.840959	−	0.541099i	$-0.181992\pi$
$769$	46.6410			1.68192			0.840959	+	0.541099i	$0.181992\pi$
$770$	0.267949	−	22.8564i	0.00965622	−	0.823688i
$771$			3.71281i			0.133714i
$772$	4.19615	+	1.12436i	0.151023	+	0.0404664i
$773$	7.90192	−	29.4904i	0.284212	−	1.06070i	−0.665200	−	0.746665i	$-0.731654\pi$
$773$	7.90192	−	29.4904i	0.284212	−	1.06070i	0.949413	−	0.314030i	$-0.101679\pi$
$774$	3.00000	+	1.73205i	0.107833	+	0.0622573i
$775$	0.117314	+	0.973721i	0.00421405	+	0.0349771i
$776$	38.9282			1.39744
$777$	2.32051	+	0.803848i	0.0832478	+	0.0288379i
$778$	10.5885	−	39.5167i	0.379615	−	1.41674i
$779$	11.1962	−	19.3923i	0.401144	−	0.694801i
$780$	8.78461	+	4.39230i	0.314539	+	0.157270i
$781$	20.1962	−	11.6603i	0.722675	−	0.417237i
$782$	−24.5885	+	24.5885i	−0.879281	+	0.879281i
$783$	5.16987	−	5.16987i	0.184756	−	0.184756i
$784$	22.0000	+	17.3205i	0.785714	+	0.618590i
$785$	−16.6077	+	5.53590i	−0.592754	+	0.197585i
$786$		−	0.392305i		−	0.0139931i
$787$	26.7224	+	7.16025i	0.952552	+	0.255235i	0.701445	−	0.712724i	$-0.252539\pi$
$787$	26.7224	+	7.16025i	0.952552	+	0.255235i	0.251107	+	0.967959i	$0.419205\pi$
$788$	24.9282	−	24.9282i	0.888030	−	0.888030i
$789$	−9.69615	−	5.59808i	−0.345192	−	0.199297i
$790$	−2.19615	−	1.94744i	−0.0781356	−	0.0692868i
$791$	−31.8564	+	15.4641i	−1.13268	+	0.549840i
$792$	−14.9282	+	14.9282i	−0.530451	+	0.530451i
$793$	16.0981	−	4.31347i	0.571659	−	0.153176i
$794$	−2.07180	+	3.58846i	−0.0735253	+	0.127350i
$795$	−0.803848	−	13.3923i	−0.0285095	−	0.474976i
$796$	6.00000	−	3.46410i	0.212664	−	0.122782i
$797$	12.9282	−	12.9282i	0.457940	−	0.457940i	−0.440038	−	0.897979i	$-0.645035\pi$
$797$	12.9282	−	12.9282i	0.457940	−	0.457940i	0.897979	+	0.440038i	$0.145035\pi$
$798$	−2.19615	+	6.33975i	−0.0777430	+	0.224425i
$799$			38.7846i			1.37210i
$800$	−26.2487	+	10.5359i	−0.928032	+	0.372500i
$801$	16.0981	−	9.29423i	0.568798	−	0.328395i
$802$	−33.7583	+	9.04552i	−1.19205	+	0.319408i
$803$	−29.5885	+	7.92820i	−1.04415	+	0.279780i
$804$	−4.26795	+	7.39230i	−0.150519	+	0.260706i
$805$	−16.7942	−	29.8923i	−0.591919	−	1.05357i
$806$	0.588457	+	1.01924i	0.0207275	+	0.0359011i
$807$	−1.40192	−	5.23205i	−0.0493501	−	0.184177i
$808$	−38.5885	−	10.3397i	−1.35754	−	0.363751i
$809$	−16.5788	+	9.57180i	−0.582881	+	0.336526i	−0.762277	−	0.647250i	$-0.775919\pi$
$809$	−16.5788	+	9.57180i	−0.582881	+	0.336526i	0.179397	+	0.983777i	$0.442585\pi$
$810$	−6.66025	−	19.9808i	−0.234017	−	0.702052i
$811$	−47.6603			−1.67358			−0.836789	−	0.547526i	$-0.815570\pi$
$811$	−47.6603			−1.67358			−0.836789	+	0.547526i	$0.815570\pi$
$812$	−12.3205	−	4.26795i	−0.432365	−	0.149776i
$813$	−4.39230	+	4.39230i	−0.154045	+	0.154045i
$814$	6.92820			0.242833
$815$	34.6865	+	30.7583i	1.21502	+	1.07742i
$816$	−7.60770	−	4.39230i	−0.266323	−	0.153761i
$817$	3.00000	−	0.803848i	0.104957	−	0.0281231i
$818$	−3.43782	+	12.8301i	−0.120201	+	0.448595i
$819$	30.5885	+	2.19615i	1.06885	+	0.0767398i
$820$	−24.1244	+	15.9282i	−0.842459	+	0.556237i
$821$	−3.92820	−	2.26795i	−0.137095	−	0.0791520i	0.429884	−	0.902884i	$-0.358555\pi$
$821$	−3.92820	−	2.26795i	−0.137095	−	0.0791520i	−0.566979	+	0.823732i	$0.691888\pi$
$822$	−6.00000	+	1.60770i	−0.209274	+	0.0560748i
$823$	−3.30385	+	12.3301i	−0.115165	+	0.429801i	−0.999299	−	0.0374316i	$-0.988082\pi$
$823$	−3.30385	+	12.3301i	−0.115165	+	0.429801i	0.884134	+	0.467233i	$0.154749\pi$
$824$	13.5167	+	7.80385i	0.470875	+	0.271860i
$825$	−7.00000	−	1.00000i	−0.243709	−	0.0348155i
$826$	−10.3397	+	15.2679i	−0.359766	+	0.531240i
$827$	−26.1506	−	26.1506i	−0.909347	−	0.909347i	0.0868727	−	0.996219i	$-0.472313\pi$
$827$	−26.1506	−	26.1506i	−0.909347	−	0.909347i	−0.996219	+	0.0868727i	$0.972313\pi$
$828$	−8.19615	+	30.5885i	−0.284836	+	1.06302i
$829$	2.19615	−	1.26795i	0.0762755	−	0.0440377i	−0.461377	−	0.887204i	$-0.652644\pi$
$829$	2.19615	−	1.26795i	0.0762755	−	0.0440377i	0.537653	+	0.843166i	$0.319311\pi$
$830$	−18.6340	−	28.2224i	−0.646795	−	0.979615i
$831$	−6.50962	−	3.75833i	−0.225816	−	0.130375i
$832$	−24.0000	+	24.0000i	−0.832050	+	0.832050i
$833$	23.7846	−	17.7846i	0.824088	−	0.616200i
$834$	−1.73205	−	3.00000i	−0.0599760	−	0.103882i
$835$	−38.0885	−	7.79423i	−1.31811	−	0.269730i
$836$			18.9282i			0.654646i
$837$	−0.150635	+	0.562178i	−0.00520671	+	0.0194317i
$838$	−18.3923	+	18.3923i	−0.635352	+	0.635352i
$839$	−3.80385			−0.131323			−0.0656617	−	0.997842i	$-0.520916\pi$
$839$	−3.80385			−0.131323			−0.0656617	+	0.997842i	$0.520916\pi$
$840$	6.19615	−	6.05256i	0.213788	−	0.208833i
$841$	−22.9282			−0.790628
$842$	5.87564	−	5.87564i	0.202488	−	0.202488i
$843$	3.24871	−	12.1244i	0.111892	−	0.417585i
$844$	−54.9282			−1.89071
$845$	−6.16025	−	9.33013i	−0.211919	−	0.320966i
$846$	17.6603	+	30.5885i	0.607172	+	1.05165i
$847$	−6.12436	−	7.07180i	−0.210435	−	0.242990i
$848$	44.7846	+	12.0000i	1.53791	+	0.412082i
$849$	−2.49038	−	1.43782i	−0.0854697	−	0.0493459i
$850$	3.58846	+	29.7846i	0.123083	+	1.02160i
$851$	9.00000	−	5.19615i	0.308516	−	0.178122i
$852$	8.53590	+	2.28719i	0.292435	+	0.0783577i
$853$	5.32051	+	5.32051i	0.182171	+	0.182171i	0.792301	−	0.610130i	$-0.208883\pi$
$853$	5.32051	+	5.32051i	0.182171	+	0.182171i	−0.610130	+	0.792301i	$0.708883\pi$
$854$	1.05256	−	14.6603i	0.0360178	−	0.501664i
$855$	−18.9282	−	9.46410i	−0.647331	−	0.323665i
$856$	18.1962	−	31.5167i	0.621932	−	1.07722i
$857$	−6.75833	+	25.2224i	−0.230860	+	0.861582i	0.749111	+	0.662444i	$0.230481\pi$
$857$	−6.75833	+	25.2224i	−0.230860	+	0.861582i	−0.979972	+	0.199138i	$0.936186\pi$
$858$	−8.19615	+	2.19615i	−0.279812	+	0.0749754i
$859$	3.80385	+	2.19615i	0.129786	+	0.0749318i	0.563487	−	0.826125i	$-0.309459\pi$
$859$	3.80385	+	2.19615i	0.129786	+	0.0749318i	−0.433702	+	0.901057i	$0.642793\pi$
$860$	−3.92820	−	0.803848i	−0.133951	−	0.0274110i
$861$	4.96410	−	7.33013i	0.169176	−	0.249810i
$862$	−6.12436	+	22.8564i	−0.208596	+	0.778492i
$863$	2.76795	−	0.741670i	0.0942221	−	0.0252467i	−0.211400	−	0.977400i	$-0.567802\pi$
$863$	2.76795	−	0.741670i	0.0942221	−	0.0252467i	0.305622	+	0.952153i	$0.401136\pi$
$864$	−16.7846			−0.571024
$865$	−37.0526	+	41.7846i	−1.25982	+	1.42072i
$866$	9.07180			0.308272
$867$	−0.366025	+	0.366025i	−0.0124309	+	0.0124309i
$868$	1.01924	−	0.196152i	0.0345952	−	0.00665785i
$869$	2.53590			0.0860245
$870$	−1.80385	+	3.60770i	−0.0611562	+	0.122312i
$871$	30.2942	−	17.4904i	1.02648	−	0.592639i
$872$	−21.1244	−	5.66025i	−0.715361	−	0.191680i
$873$	−9.73205	−	36.3205i	−0.329380	−	1.22926i
$874$	14.1962	+	24.5885i	0.480192	+	0.831717i
$875$	−29.2321	−	4.52628i	−0.988224	−	0.153016i
$876$	−10.0526	−	5.80385i	−0.339644	−	0.196094i
$877$	5.19615	−	1.39230i	0.175462	−	0.0470148i	−0.170018	−	0.985441i	$-0.554383\pi$
$877$	5.19615	−	1.39230i	0.175462	−	0.0470148i	0.345480	+	0.938426i	$0.387716\pi$
$878$	−40.0526	+	10.7321i	−1.35171	+	0.362189i
$879$	−3.92820	+	2.26795i	−0.132495	+	0.0764960i
$880$	10.9282	−	21.8564i	0.368390	−	0.736779i
$881$			21.2487i			0.715887i	0.933743	+	0.357944i	$0.116522\pi$
$881$			21.2487i			0.715887i	−0.933743	+	0.357944i	$0.883478\pi$
$882$	10.6603	−	24.8564i	0.358949	−	0.836959i
$883$	−33.2487	+	33.2487i	−1.11891	+	1.11891i	−0.127006	+	0.991902i	$0.540537\pi$
$883$	−33.2487	+	33.2487i	−1.11891	+	1.11891i	−0.991902	+	0.127006i	$0.959463\pi$
$884$	18.0000	+	31.1769i	0.605406	+	1.04859i
$885$	4.26795	+	3.78461i	0.143466	+	0.127218i
$886$	−15.4186	+	26.7058i	−0.517997	+	0.897198i
$887$	33.8205	−	9.06218i	1.13558	−	0.304278i	0.358408	−	0.933565i	$-0.383320\pi$
$887$	33.8205	−	9.06218i	1.13558	−	0.304278i	0.777173	+	0.629287i	$0.216653\pi$
$888$	1.85641	+	1.85641i	0.0622969	+	0.0622969i
$889$	−17.9737	−	37.0263i	−0.602819	−	1.24182i
$890$	−14.2750	+	16.0981i	−0.478499	+	0.539609i
$891$	15.7583	+	9.09808i	0.527924	+	0.304797i
$892$	11.8564	+	11.8564i	0.396982	+	0.396982i
$893$	30.5885	+	8.19615i	1.02360	+	0.274274i
$894$		−	3.90897i		−	0.130735i
$895$	48.1051	+	24.0526i	1.60798	+	0.803988i
$896$	13.0718	+	26.9282i	0.436698	+	0.899608i
$897$	−9.00000	+	9.00000i	−0.300501	+	0.300501i
$898$	12.8038	−	12.8038i	0.427270	−	0.427270i
$899$	−0.418584	+	0.241670i	−0.0139606	+	0.00806014i
$900$	16.3923	+	21.8564i	0.546410	+	0.728547i
$901$	24.5885	−	42.5885i	0.819160	−	1.41883i
$902$	6.46410	−	24.1244i	0.215231	−	0.803253i
$903$	1.20577	−	0.232051i	0.0401256	−	0.00772217i
$904$	−37.8564			−1.25909
$905$	42.0167	−	27.7417i	1.39668	−	0.922164i
$906$	−15.3397	−	8.85641i	−0.509629	−	0.294234i
$907$	4.50000	−	16.7942i	0.149420	−	0.557643i	−0.850099	−	0.526623i	$-0.823458\pi$
$907$	4.50000	−	16.7942i	0.149420	−	0.557643i	0.999519	−	0.0310198i	$-0.00987551\pi$
$908$	8.33975	−	31.1244i	0.276764	−	1.03290i
$909$			38.5885i			1.27990i
$910$	−34.3923	+	8.78461i	−1.14009	+	0.291207i
$911$	−2.19615			−0.0727618			−0.0363809	−	0.999338i	$-0.511583\pi$
$911$	−2.19615			−0.0727618			−0.0363809	+	0.999338i	$0.511583\pi$
$912$	−5.07180	+	5.07180i	−0.167944	+	0.167944i
$913$	28.2224	+	7.56218i	0.934026	+	0.250272i
$914$	−0.196152	+	0.339746i	−0.00648815	+	0.0112378i
$915$	−4.45448	−	0.911543i	−0.147261	−	0.0301347i
$916$	8.53590	−	14.7846i	0.282034	−	0.488497i
$917$	0.928203	+	1.07180i	0.0306520	+	0.0353938i
$918$	−4.60770	+	17.1962i	−0.152077	+	0.567558i
$919$	39.0000	+	22.5167i	1.28649	+	0.742756i	0.978027	−	0.208480i	$-0.0668515\pi$
$919$	39.0000	+	22.5167i	1.28649	+	0.742756i	0.308465	+	0.951236i	$0.400185\pi$
$920$	−2.19615	−	36.5885i	−0.0724050	−	1.20629i
$921$	−7.96410	−	13.7942i	−0.262426	−	0.454535i
$922$	−39.8564	−	39.8564i	−1.31260	−	1.31260i
$923$	−25.6077	−	25.6077i	−0.842888	−	0.842888i
$924$	−0.535898	+	7.46410i	−0.0176298	+	0.245551i
$925$	1.26795	−	8.87564i	0.0416899	−	0.291829i
$926$		−	15.6603i		−	0.514628i
$927$	3.90192	−	14.5622i	0.128156	−	0.478285i
$928$	−9.85641	−	9.85641i	−0.323552	−	0.323552i
$929$	−13.1603	+	22.7942i	−0.431774	+	0.747854i	−0.997026	−	0.0770637i	$-0.975446\pi$
$929$	−13.1603	+	22.7942i	−0.431774	+	0.747854i	0.565252	+	0.824918i	$0.308779\pi$
$930$	−0.0192379	−	0.320508i	−0.000630835	−	0.0105099i
$931$	−9.00000	−	22.5167i	−0.294963	−	0.737954i
$932$	−3.80385	−	14.1962i	−0.124599	−	0.465010i
$933$	1.48334	+	5.53590i	0.0485624	+	0.181237i
$934$	−7.56218	+	13.0981i	−0.247442	+	0.428582i
$935$	−19.3923	−	17.1962i	−0.634196	−	0.562374i
$936$	28.3923	+	16.3923i	0.928032	+	0.535799i
$937$	20.3923	+	20.3923i	0.666188	+	0.666188i	0.956831	−	0.290644i	$-0.0938695\pi$
$937$	20.3923	+	20.3923i	0.666188	+	0.666188i	−0.290644	+	0.956831i	$0.593869\pi$
$938$	−5.83013	−	30.2942i	−0.190360	−	0.989142i
$939$	16.2487			0.530257
$940$	−30.5885	−	27.1244i	−0.997685	−	0.884699i
$941$	6.26795	+	10.8564i	0.204329	+	0.353909i	0.949919	−	0.312497i	$-0.101165\pi$
$941$	6.26795	+	10.8564i	0.204329	+	0.353909i	−0.745590	+	0.666405i	$0.767832\pi$
$942$	5.53590	−	1.48334i	0.180369	−	0.0483298i
$943$	−9.69615	−	36.1865i	−0.315750	−	1.17840i
$944$	−17.0718	+	9.85641i	−0.555640	+	0.320799i
$945$	−15.0981	−	8.95448i	−0.491140	−	0.291289i
$946$	3.00000	−	1.73205i	0.0975384	−	0.0563138i
$947$	51.0167	−	13.6699i	1.65782	−	0.444211i	0.696032	−	0.718011i	$-0.254947\pi$
$947$	51.0167	−	13.6699i	1.65782	−	0.444211i	0.961787	+	0.273800i	$0.0882805\pi$
$948$	0.679492	+	0.679492i	0.0220689	+	0.0220689i
$949$	23.7846	+	41.1962i	0.772081	+	1.33728i
$950$	24.2487	+	3.46410i	0.786732	+	0.112390i
$951$		−	5.26795i		−	0.170825i
$952$	31.1769	−	6.00000i	1.01045	−	0.194461i
$953$	−3.46410	−	3.46410i	−0.112213	−	0.112213i	0.648771	−	0.760984i	$-0.275283\pi$
$953$	−3.46410	−	3.46410i	−0.112213	−	0.112213i	−0.760984	+	0.648771i	$0.775283\pi$
$954$		−	44.7846i		−	1.44996i
$955$	2.83013	+	47.1506i	0.0915808	+	1.52576i
$956$	2.53590			0.0820168
$957$	−0.901924	−	3.36603i	−0.0291551	−	0.108808i
$958$	5.19615	−	19.3923i	0.167880	−	0.626537i
$959$	12.5885	−	18.5885i	0.406502	−	0.600253i
$960$	8.78461	−	2.92820i	0.283522	−	0.0945074i
$961$	−15.4808	+	26.8135i	−0.499379	+	0.864951i
$962$	−2.78461	−	10.3923i	−0.0897794	−	0.335061i
$963$	−33.9545	−	9.09808i	−1.09417	−	0.293181i
$964$	−0.392305	−	0.679492i	−0.0126353	−	0.0218850i
$965$	1.53590	+	4.60770i	0.0494423	+	0.148327i
$966$	4.90192	+	10.0981i	0.157717	+	0.324900i
$967$	−36.4904	+	36.4904i	−1.17345	+	1.17345i	−0.192070	+	0.981381i	$0.561520\pi$
$967$	−36.4904	+	36.4904i	−1.17345	+	1.17345i	−0.981381	+	0.192070i	$0.938480\pi$
$968$	−2.58846	−	9.66025i	−0.0831962	−	0.310492i
$969$	3.80385	+	6.58846i	0.122197	+	0.211652i
$970$	23.9808	+	36.3205i	0.769976	+	1.16618i
$971$	−10.0000	+	17.3205i	−0.320915	+	0.555842i	−0.980677	−	0.195633i	$-0.937324\pi$
$971$	−10.0000	+	17.3205i	−0.320915	+	0.555842i	0.659762	+	0.751475i	$0.270657\pi$
$972$	6.39230	+	23.8564i	0.205033	+	0.765195i
$973$	11.8301	+	4.09808i	0.379256	+	0.131378i
$974$	−0.0717968	−	0.124356i	−0.00230052	−	0.00398461i
$975$	1.31347	+	10.9019i	0.0420646	+	0.349141i
$976$	7.85641	−	13.6077i	0.251477	−	0.435572i
$977$	−3.63397	−	0.973721i	−0.116261	−	0.0311521i	0.200219	−	0.979751i	$-0.435835\pi$
$977$	−3.63397	−	0.973721i	−0.116261	−	0.0311521i	−0.316481	+	0.948599i	$0.602501\pi$
$978$	−10.7321	−	10.7321i	−0.343173	−	0.343173i
$979$		−	18.5885i		−	0.594090i
$980$	−2.60770	+	31.1962i	−0.0832998	+	0.996525i
$981$			21.1244i			0.674449i
$982$	1.80385	−	1.80385i	0.0575631	−	0.0575631i
$983$	32.7224	+	8.76795i	1.04368	+	0.279654i	0.739639	−	0.673004i	$-0.234996\pi$
$983$	32.7224	+	8.76795i	1.04368	+	0.279654i	0.304044	+	0.952658i	$0.401663\pi$
$984$	8.19615	−	4.73205i	0.261284	−	0.150852i
$985$	38.6147	+	7.90192i	1.23037	+	0.251776i
$986$	−12.8038	+	7.39230i	−0.407758	+	0.235419i
$987$	11.8301	+	4.09808i	0.376557	+	0.130443i
$988$	28.3923	−	7.60770i	0.903280	−	0.242033i
$989$	2.59808	−	4.50000i	0.0826140	−	0.143092i
$990$	−23.1244	−	4.73205i	−0.734940	−	0.150394i
$991$	18.6865	+	32.3660i	0.593597	+	1.02814i	0.993743	+	0.111689i	$0.0356261\pi$
$991$	18.6865	+	32.3660i	0.593597	+	1.02814i	−0.400146	+	0.916451i	$0.631041\pi$
$992$	1.07180	+	0.287187i	0.0340296	+	0.00911820i
$993$	−3.92820	+	3.92820i	−0.124658	+	0.124658i
$994$	−28.7321	+	13.9474i	−0.911325	+	0.442386i
$995$	6.92820	+	3.46410i	0.219639	+	0.109819i
$996$	5.53590	+	9.58846i	0.175412	+	0.303822i
$997$	3.00000	+	0.803848i	0.0950110	+	0.0254581i	0.306011	−	0.952028i	$-0.401005\pi$
$997$	3.00000	+	0.803848i	0.0950110	+	0.0254581i	−0.211000	+	0.977486i	$0.567672\pi$
$998$	−43.0526	+	11.5359i	−1.36280	+	0.365162i
$999$	2.66025	−	4.60770i	0.0841667	−	0.145781i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.bv.d.173.1	yes	4
5.2	odd	4		280.2.bv.a.117.1	✓	4
7.3	odd	6		280.2.bv.b.213.1	yes	4
8.5	even	2		280.2.bv.c.173.1	yes	4
35.17	even	12		280.2.bv.c.157.1	yes	4
40.37	odd	4		280.2.bv.b.117.1	yes	4
56.45	odd	6		280.2.bv.a.213.1	yes	4
280.157	even	12	inner	280.2.bv.d.157.1	yes	4

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bv.a.117.1	✓	4	5.2	odd	4
280.2.bv.a.213.1	yes	4	56.45	odd	6
280.2.bv.b.117.1	yes	4	40.37	odd	4
280.2.bv.b.213.1	yes	4	7.3	odd	6
280.2.bv.c.157.1	yes	4	35.17	even	12
280.2.bv.c.173.1	yes	4	8.5	even	2
280.2.bv.d.157.1	yes	4	280.157	even	12	inner
280.2.bv.d.173.1	yes	4	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.bv (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.00000 + 1.00000i) q^{2} +(0.133975 - 0.500000i) q^{3} +2.00000i q^{4} +(-1.86603 + 1.23205i) q^{5} +(0.633975 - 0.366025i) q^{6} +(-0.866025 + 2.50000i) q^{7} +(-2.00000 + 2.00000i) q^{8} +(2.36603 + 1.36603i) q^{9} +O(q^{10})\)	\(q+(1.00000 + 1.00000i) q^{2} +(0.133975 - 0.500000i) q^{3} +2.00000i q^{4} +(-1.86603 + 1.23205i) q^{5} +(0.633975 - 0.366025i) q^{6} +(-0.866025 + 2.50000i) q^{7} +(-2.00000 + 2.00000i) q^{8} +(2.36603 + 1.36603i) q^{9} +(-3.09808 - 0.633975i) q^{10} +(2.36603 - 1.36603i) q^{11} +(1.00000 + 0.267949i) q^{12} +(-3.00000 - 3.00000i) q^{13} +(-3.36603 + 1.63397i) q^{14} +(0.366025 + 1.09808i) q^{15} -4.00000 q^{16} +(-1.09808 + 4.09808i) q^{17} +(1.00000 + 3.73205i) q^{18} +(3.00000 + 1.73205i) q^{19} +(-2.46410 - 3.73205i) q^{20} +(1.13397 + 0.767949i) q^{21} +(3.73205 + 1.00000i) q^{22} +(5.59808 - 1.50000i) q^{23} +(0.732051 + 1.26795i) q^{24} +(1.96410 - 4.59808i) q^{25} -6.00000i q^{26} +(2.09808 - 2.09808i) q^{27} +(-5.00000 - 1.73205i) q^{28} +2.46410 q^{29} +(-0.732051 + 1.46410i) q^{30} +(-0.169873 + 0.0980762i) q^{31} +(-4.00000 - 4.00000i) q^{32} +(-0.366025 - 1.36603i) q^{33} +(-5.19615 + 3.00000i) q^{34} +(-1.46410 - 5.73205i) q^{35} +(-2.73205 + 4.73205i) q^{36} +(1.73205 - 0.464102i) q^{37} +(1.26795 + 4.73205i) q^{38} +(-1.90192 + 1.09808i) q^{39} +(1.26795 - 6.19615i) q^{40} -6.46410i q^{41} +(0.366025 + 1.90192i) q^{42} +(0.633975 - 0.633975i) q^{43} +(2.73205 + 4.73205i) q^{44} +(-6.09808 + 0.366025i) q^{45} +(7.09808 + 4.09808i) q^{46} +(8.83013 - 2.36603i) q^{47} +(-0.535898 + 2.00000i) q^{48} +(-5.50000 - 4.33013i) q^{49} +(6.56218 - 2.63397i) q^{50} +(1.90192 + 1.09808i) q^{51} +(6.00000 - 6.00000i) q^{52} +(-11.1962 - 3.00000i) q^{53} +4.19615 q^{54} +(-2.73205 + 5.46410i) q^{55} +(-3.26795 - 6.73205i) q^{56} +(1.26795 - 1.26795i) q^{57} +(2.46410 + 2.46410i) q^{58} +(4.26795 - 2.46410i) q^{59} +(-2.19615 + 0.732051i) q^{60} +(-1.96410 + 3.40192i) q^{61} +(-0.267949 - 0.0717968i) q^{62} +(-5.46410 + 4.73205i) q^{63} -8.00000i q^{64} +(9.29423 + 1.90192i) q^{65} +(1.00000 - 1.73205i) q^{66} +(-2.13397 + 7.96410i) q^{67} +(-8.19615 - 2.19615i) q^{68} -3.00000i q^{69} +(4.26795 - 7.19615i) q^{70} +8.53590 q^{71} +(-7.46410 + 2.00000i) q^{72} +(-10.8301 - 2.90192i) q^{73} +(2.19615 + 1.26795i) q^{74} +(-2.03590 - 1.59808i) q^{75} +(-3.46410 + 6.00000i) q^{76} +(1.36603 + 7.09808i) q^{77} +(-3.00000 - 0.803848i) q^{78} +(0.803848 + 0.464102i) q^{79} +(7.46410 - 4.92820i) q^{80} +(3.33013 + 5.76795i) q^{81} +(6.46410 - 6.46410i) q^{82} +(7.56218 + 7.56218i) q^{83} +(-1.53590 + 2.26795i) q^{84} +(-3.00000 - 9.00000i) q^{85} +1.26795 q^{86} +(0.330127 - 1.23205i) q^{87} +(-2.00000 + 7.46410i) q^{88} +(3.40192 - 5.89230i) q^{89} +(-6.46410 - 5.73205i) q^{90} +(10.0981 - 4.90192i) q^{91} +(3.00000 + 11.1962i) q^{92} +(0.0262794 + 0.0980762i) q^{93} +(11.1962 + 6.46410i) q^{94} +(-7.73205 + 0.464102i) q^{95} +(-2.53590 + 1.46410i) q^{96} +(-9.73205 - 9.73205i) q^{97} +(-1.16987 - 9.83013i) q^{98} +7.46410 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 4 q + 4 q^{2} + 4 q^{3} - 4 q^{5} + 6 q^{6} - 8 q^{8} + 6 q^{9}+O(q^{10}) \) 4 * q + 4 * q^2 + 4 * q^3 - 4 * q^5 + 6 * q^6 - 8 * q^8 + 6 * q^9	\( 4 q + 4 q^{2} + 4 q^{3} - 4 q^{5} + 6 q^{6} - 8 q^{8} + 6 q^{9} - 2 q^{10} + 6 q^{11} + 4 q^{12} - 12 q^{13} - 10 q^{14} - 2 q^{15} - 16 q^{16} + 6 q^{17} + 4 q^{18} + 12 q^{19} + 4 q^{20} + 8 q^{21} + 8 q^{22} + 12 q^{23} - 4 q^{24} - 6 q^{25} - 2 q^{27} - 20 q^{28} - 4 q^{29} + 4 q^{30} - 18 q^{31} - 16 q^{32} + 2 q^{33} + 8 q^{35} - 4 q^{36} + 12 q^{38} - 18 q^{39} + 12 q^{40} - 2 q^{42} + 6 q^{43} + 4 q^{44} - 14 q^{45} + 18 q^{46} + 18 q^{47} - 16 q^{48} - 22 q^{49} + 2 q^{50} + 18 q^{51} + 24 q^{52} - 24 q^{53} - 4 q^{54} - 4 q^{55} - 20 q^{56} + 12 q^{57} - 4 q^{58} + 24 q^{59} + 12 q^{60} + 6 q^{61} - 8 q^{62} - 8 q^{63} + 6 q^{65} + 4 q^{66} - 12 q^{67} - 12 q^{68} + 24 q^{70} + 48 q^{71} - 16 q^{72} - 26 q^{73} - 12 q^{74} - 22 q^{75} + 2 q^{77} - 12 q^{78} + 24 q^{79} + 16 q^{80} - 4 q^{81} + 12 q^{82} + 6 q^{83} - 20 q^{84} - 12 q^{85} + 12 q^{86} - 16 q^{87} - 8 q^{88} + 24 q^{89} - 12 q^{90} + 30 q^{91} + 12 q^{92} - 38 q^{93} + 24 q^{94} - 24 q^{95} - 24 q^{96} - 32 q^{97} - 22 q^{98} + 16 q^{99}+O(q^{100}) \) 4 * q + 4 * q^2 + 4 * q^3 - 4 * q^5 + 6 * q^6 - 8 * q^8 + 6 * q^9 - 2 * q^10 + 6 * q^11 + 4 * q^12 - 12 * q^13 - 10 * q^14 - 2 * q^15 - 16 * q^16 + 6 * q^17 + 4 * q^18 + 12 * q^19 + 4 * q^20 + 8 * q^21 + 8 * q^22 + 12 * q^23 - 4 * q^24 - 6 * q^25 - 2 * q^27 - 20 * q^28 - 4 * q^29 + 4 * q^30 - 18 * q^31 - 16 * q^32 + 2 * q^33 + 8 * q^35 - 4 * q^36 + 12 * q^38 - 18 * q^39 + 12 * q^40 - 2 * q^42 + 6 * q^43 + 4 * q^44 - 14 * q^45 + 18 * q^46 + 18 * q^47 - 16 * q^48 - 22 * q^49 + 2 * q^50 + 18 * q^51 + 24 * q^52 - 24 * q^53 - 4 * q^54 - 4 * q^55 - 20 * q^56 + 12 * q^57 - 4 * q^58 + 24 * q^59 + 12 * q^60 + 6 * q^61 - 8 * q^62 - 8 * q^63 + 6 * q^65 + 4 * q^66 - 12 * q^67 - 12 * q^68 + 24 * q^70 + 48 * q^71 - 16 * q^72 - 26 * q^73 - 12 * q^74 - 22 * q^75 + 2 * q^77 - 12 * q^78 + 24 * q^79 + 16 * q^80 - 4 * q^81 + 12 * q^82 + 6 * q^83 - 20 * q^84 - 12 * q^85 + 12 * q^86 - 16 * q^87 - 8 * q^88 + 24 * q^89 - 12 * q^90 + 30 * q^91 + 12 * q^92 - 38 * q^93 + 24 * q^94 - 24 * q^95 - 24 * q^96 - 32 * q^97 - 22 * q^98 + 16 * q^99

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