LMFDB - Embedded newform 663.2.cf.a.587.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [663,2,Mod(110,663)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(663, base_ring=CyclotomicField(24))

chi = DirichletCharacter(H, H._module([12, 10, 15]))

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

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

chi := DirichletCharacter("663.110");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 663 = 3 \cdot 13 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	663.cf (of order $24$, degree $8$, 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:	$5.29408165401$
Analytic rank:	$0$
Dimension:	$640$
Relative dimension:	$80$ over $\Q(\zeta_{24})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label			587.18
Character	$\chi$	$=$	663.587
Dual form			663.2.cf.a.410.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.845396 - 1.46427i) q^{2} +(1.42210 + 0.988753i) q^{3} +(-0.429387 + 0.743721i) q^{4} +(-0.827196 + 0.342636i) q^{5} +(0.245564 - 2.91822i) q^{6} +(1.98319 + 2.58455i) q^{7} -1.92957 q^{8} +(1.04473 + 2.81221i) q^{9} +O(q^{10})$	\(q+(-0.845396 - 1.46427i) q^{2} +(1.42210 + 0.988753i) q^{3} +(-0.429387 + 0.743721i) q^{4} +(-0.827196 + 0.342636i) q^{5} +(0.245564 - 2.91822i) q^{6} +(1.98319 + 2.58455i) q^{7} -1.92957 q^{8} +(1.04473 + 2.81221i) q^{9} +(1.20102 + 0.921574i) q^{10} +(-3.56169 + 0.468905i) q^{11} +(-1.34599 + 0.633087i) q^{12} +(2.89782 + 2.14538i) q^{13} +(2.10789 - 5.08890i) q^{14} +(-1.51514 - 0.330631i) q^{15} +(2.49003 + 4.31285i) q^{16} +(-2.88215 + 2.94842i) q^{17} +(3.23462 - 3.90720i) q^{18} +(-4.55081 - 2.62741i) q^{19} +(0.100362 - 0.762326i) q^{20} +(0.264818 + 5.63638i) q^{21} +(3.69764 + 4.81886i) q^{22} +(7.37074 + 5.65577i) q^{23} +(-2.74405 - 1.90787i) q^{24} +(-2.96868 + 2.96868i) q^{25} +(0.691611 - 6.05688i) q^{26} +(-1.29487 + 5.03223i) q^{27} +(-2.77374 + 0.365170i) q^{28} +(-0.933782 - 7.09278i) q^{29} +(0.796758 + 2.49808i) q^{30} +(2.01011 - 0.832614i) q^{31} +(2.28054 - 3.95002i) q^{32} +(-5.52871 - 2.85480i) q^{33} +(6.75384 + 1.72766i) q^{34} +(-2.52605 - 1.45842i) q^{35} +(-2.54010 - 0.430538i) q^{36} +(-3.40297 + 4.43484i) q^{37} +8.88480i q^{38} +(1.99973 + 5.91617i) q^{39} +(1.59614 - 0.661141i) q^{40} +(3.67138 - 0.483346i) q^{41} +(8.02929 - 5.15273i) q^{42} +(-1.11317 - 4.15441i) q^{43} +(1.18061 - 2.85024i) q^{44} +(-1.82776 - 1.96829i) q^{45} +(2.05037 - 15.5741i) q^{46} +(5.13088 + 5.13088i) q^{47} +(-0.723283 + 8.59533i) q^{48} +(-0.935102 + 3.48985i) q^{49} +(6.85665 + 1.83723i) q^{50} +(-7.01397 + 1.34321i) q^{51} +(-2.83985 + 1.23397i) q^{52} +(2.77633 + 2.77633i) q^{53} +(8.46321 - 2.35819i) q^{54} +(2.78555 - 1.60824i) q^{55} +(-3.82672 - 4.98708i) q^{56} +(-3.87384 - 8.23606i) q^{57} +(-9.59632 + 7.36351i) q^{58} +(-0.358133 + 0.620305i) q^{59} +(0.896478 - 0.984870i) q^{60} +(6.94212 + 0.913947i) q^{61} +(-2.91851 - 2.23945i) q^{62} +(-5.19639 + 8.27733i) q^{63} +2.24826 q^{64} +(-3.13215 - 0.781755i) q^{65} +(0.493749 + 10.5089i) q^{66} +(-9.49747 - 2.54484i) q^{67} +(-0.955242 - 3.40953i) q^{68} +(4.88977 + 15.3309i) q^{69} +4.93175i q^{70} +(0.623579 + 0.0820957i) q^{71} +(-2.01589 - 5.42637i) q^{72} +(5.72900 - 2.37303i) q^{73} +(9.37065 + 1.23367i) q^{74} +(-7.15705 + 1.28647i) q^{75} +(3.90812 - 2.25635i) q^{76} +(-8.27543 - 8.27543i) q^{77} +(6.97230 - 7.92965i) q^{78} +(13.8331 - 5.72985i) q^{79} +(-3.53748 - 2.71440i) q^{80} +(-6.81706 + 5.87602i) q^{81} +(-3.81151 - 4.96726i) q^{82} +6.09485 q^{83} +(-4.30560 - 2.22324i) q^{84} +(1.37387 - 3.42645i) q^{85} +(-5.14210 + 5.14210i) q^{86} +(5.68508 - 11.0099i) q^{87} +(6.87254 - 0.904787i) q^{88} +(2.86324 - 10.6858i) q^{89} +(-1.33692 + 4.34032i) q^{90} +(0.202091 + 11.7443i) q^{91} +(-7.37122 + 3.05326i) q^{92} +(3.68182 + 0.803442i) q^{93} +(3.17536 - 11.8506i) q^{94} +(4.66465 + 0.614113i) q^{95} +(7.14875 - 3.36242i) q^{96} +(2.29571 + 0.302236i) q^{97} +(5.90061 - 1.58106i) q^{98} +(-5.03968 - 9.52634i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 640 q - 4 q^{3} - 304 q^{4} - 16 q^{7} - 4 q^{9}+O(q^{10}) $ 640 * q - 4 * q^3 - 304 * q^4 - 16 * q^7 - 4 * q^9	$ 640 q - 4 q^{3} - 304 q^{4} - 16 q^{7} - 4 q^{9} - 88 q^{10} + 16 q^{12} - 36 q^{15} - 288 q^{16} - 24 q^{19} + 32 q^{21} - 8 q^{22} - 8 q^{24} + 32 q^{25} - 64 q^{27} + 8 q^{28} + 32 q^{30} - 32 q^{31} - 48 q^{33} + 32 q^{34} - 20 q^{36} - 112 q^{37} - 12 q^{39} + 32 q^{40} + 44 q^{42} - 40 q^{43} + 56 q^{45} + 32 q^{46} - 68 q^{48} - 40 q^{49} - 64 q^{51} + 32 q^{52} + 104 q^{54} - 4 q^{57} - 48 q^{58} - 8 q^{61} + 16 q^{63} + 480 q^{64} - 120 q^{66} - 64 q^{67} - 24 q^{69} - 208 q^{72} - 96 q^{73} - 56 q^{75} - 72 q^{76} + 164 q^{78} - 64 q^{79} - 48 q^{81} + 8 q^{82} - 32 q^{84} - 8 q^{85} + 68 q^{87} - 104 q^{88} + 16 q^{90} + 96 q^{91} - 28 q^{93} - 56 q^{94} + 40 q^{96} + 64 q^{97} + 52 q^{99}+O(q^{100}) $ 640 * q - 4 * q^3 - 304 * q^4 - 16 * q^7 - 4 * q^9 - 88 * q^10 + 16 * q^12 - 36 * q^15 - 288 * q^16 - 24 * q^19 + 32 * q^21 - 8 * q^22 - 8 * q^24 + 32 * q^25 - 64 * q^27 + 8 * q^28 + 32 * q^30 - 32 * q^31 - 48 * q^33 + 32 * q^34 - 20 * q^36 - 112 * q^37 - 12 * q^39 + 32 * q^40 + 44 * q^42 - 40 * q^43 + 56 * q^45 + 32 * q^46 - 68 * q^48 - 40 * q^49 - 64 * q^51 + 32 * q^52 + 104 * q^54 - 4 * q^57 - 48 * q^58 - 8 * q^61 + 16 * q^63 + 480 * q^64 - 120 * q^66 - 64 * q^67 - 24 * q^69 - 208 * q^72 - 96 * q^73 - 56 * q^75 - 72 * q^76 + 164 * q^78 - 64 * q^79 - 48 * q^81 + 8 * q^82 - 32 * q^84 - 8 * q^85 + 68 * q^87 - 104 * q^88 + 16 * q^90 + 96 * q^91 - 28 * q^93 - 56 * q^94 + 40 * q^96 + 64 * q^97 + 52 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/663\mathbb{Z}\right)^\times$.

$n$	$443$	$547$	$613$
$\chi(n)$	$-1$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{1}{12}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.845396	−	1.46427i	−0.597785	−	1.03539i	−0.993147	−	0.116869i	$-0.962714\pi$
$2$	−0.845396	−	1.46427i	−0.597785	−	1.03539i	0.395362	−	0.918525i	$-0.370619\pi$
$3$	1.42210	+	0.988753i	0.821049	+	0.570857i
$3$	1.42210	+	0.988753i	0.821049	+	0.570857i
$4$	−0.429387	+	0.743721i	−0.214694	+	0.371860i
$5$	−0.827196	+	0.342636i	−0.369933	+	0.153231i	−0.559902	−	0.828559i	$-0.689161\pi$
$5$	−0.827196	+	0.342636i	−0.369933	+	0.153231i	0.189969	+	0.981790i	$0.439161\pi$
$6$	0.245564	−	2.91822i	0.100251	−	1.19136i
$7$	1.98319	+	2.58455i	0.749577	+	0.976868i	0.999962	+	0.00872156i	$0.00277619\pi$
$7$	1.98319	+	2.58455i	0.749577	+	0.976868i	−0.250385	+	0.968146i	$0.580557\pi$
$8$	−1.92957			−0.682207
$9$	1.04473	+	2.81221i	0.348244	+	0.937404i
$10$	1.20102	+	0.921574i	0.379795	+	0.291427i
$11$	−3.56169	+	0.468905i	−1.07389	+	0.141380i	−0.646672	−	0.762768i	$-0.723840\pi$
$11$	−3.56169	+	0.468905i	−1.07389	+	0.141380i	−0.427218	+	0.904149i	$0.640506\pi$
$12$	−1.34599	+	0.633087i	−0.388553	+	0.182756i
$13$	2.89782	+	2.14538i	0.803710	+	0.595022i
$13$	2.89782	+	2.14538i	0.803710	+	0.595022i
$14$	2.10789	−	5.08890i	0.563357	−	1.36006i
$15$	−1.51514	−	0.330631i	−0.391207	−	0.0853685i
$16$	2.49003	+	4.31285i	0.622507	+	1.07821i
$17$	−2.88215	+	2.94842i	−0.699025	+	0.715097i
$17$	−2.88215	+	2.94842i	−0.699025	+	0.715097i
$18$	3.23462	−	3.90720i	0.762407	−	0.920936i
$19$	−4.55081	−	2.62741i	−1.04403	−	0.602769i	−0.123056	−	0.992400i	$-0.539269\pi$
$19$	−4.55081	−	2.62741i	−1.04403	−	0.602769i	−0.920971	+	0.389631i	$0.872603\pi$
$20$	0.100362	−	0.762326i	0.0224417	−	0.170461i
$21$	0.264818	+	5.63638i	0.0577879	+	1.22996i
$22$	3.69764	+	4.81886i	0.788339	+	1.02738i
$23$	7.37074	+	5.65577i	1.53691	+	1.17931i	0.919773	+	0.392451i	$0.128373\pi$
$23$	7.37074	+	5.65577i	1.53691	+	1.17931i	0.617133	+	0.786859i	$0.288294\pi$
$24$	−2.74405	−	1.90787i	−0.560126	−	0.389443i
$25$	−2.96868	+	2.96868i	−0.593736	+	0.593736i
$26$	0.691611	−	6.05688i	0.135636	−	1.18785i
$27$	−1.29487	+	5.03223i	−0.249198	+	0.968453i
$28$	−2.77374	+	0.365170i	−0.524188	+	0.0690107i
$29$	−0.933782	−	7.09278i	−0.173399	−	1.31710i	−0.827832	−	0.560976i	$-0.810426\pi$
$29$	−0.933782	−	7.09278i	−0.173399	−	1.31710i	0.654433	−	0.756120i	$-0.272907\pi$
$30$	0.796758	+	2.49808i	0.145467	+	0.456085i
$31$	2.01011	−	0.832614i	0.361026	−	0.149542i	−0.194795	−	0.980844i	$-0.562404\pi$
$31$	2.01011	−	0.832614i	0.361026	−	0.149542i	0.555821	+	0.831302i	$0.312404\pi$
$32$	2.28054	−	3.95002i	0.403147	−	0.698271i
$33$	−5.52871	−	2.85480i	−0.962424	−	0.496957i
$34$	6.75384	+	1.72766i	1.15827	+	0.296292i
$35$	−2.52605	−	1.45842i	−0.426980	−	0.246517i
$36$	−2.54010	−	0.430538i	−0.423349	−	0.0717564i
$37$	−3.40297	+	4.43484i	−0.559445	+	0.729083i	−0.984364	−	0.176149i	$-0.943636\pi$
$37$	−3.40297	+	4.43484i	−0.559445	+	0.729083i	0.424919	+	0.905231i	$0.360303\pi$
$38$			8.88480i			1.44131i
$39$	1.99973	+	5.91617i	0.320213	+	0.947346i
$40$	1.59614	−	0.661141i	0.252371	−	0.104536i
$41$	3.67138	−	0.483346i	0.573373	−	0.0754860i	0.161736	−	0.986834i	$-0.448291\pi$
$41$	3.67138	−	0.483346i	0.573373	−	0.0754860i	0.411637	+	0.911348i	$0.364957\pi$
$42$	8.02929	−	5.15273i	1.23895	−	0.795084i
$43$	−1.11317	−	4.15441i	−0.169757	−	0.633542i	−0.997385	−	0.0722655i	$-0.976977\pi$
$43$	−1.11317	−	4.15441i	−0.169757	−	0.633542i	0.827628	−	0.561276i	$-0.189690\pi$
$44$	1.18061	−	2.85024i	0.177984	−	0.429691i
$45$	−1.82776	−	1.96829i	−0.272467	−	0.293415i
$46$	2.05037	−	15.5741i	0.302311	−	2.29628i
$47$	5.13088	+	5.13088i	0.748416	+	0.748416i	0.974182	−	0.225766i	$-0.0724884\pi$
$47$	5.13088	+	5.13088i	0.748416	+	0.748416i	−0.225766	+	0.974182i	$0.572488\pi$
$48$	−0.723283	+	8.59533i	−0.104397	+	1.24063i
$49$	−0.935102	+	3.48985i	−0.133586	+	0.498550i
$50$	6.85665	+	1.83723i	0.969677	+	0.259824i
$51$	−7.01397	+	1.34321i	−0.982152	+	0.188087i
$52$	−2.83985	+	1.23397i	−0.393816	+	0.171120i
$53$	2.77633	+	2.77633i	0.381358	+	0.381358i	0.871591	−	0.490233i	$-0.163088\pi$
$53$	2.77633	+	2.77633i	0.381358	+	0.381358i	−0.490233	+	0.871591i	$0.663088\pi$
$54$	8.46321	−	2.35819i	1.15170	−	0.320909i
$55$	2.78555	−	1.60824i	0.375604	−	0.216855i
$56$	−3.82672	−	4.98708i	−0.511367	−	0.666426i
$57$	−3.87384	−	8.23606i	−0.513103	−	1.09089i
$58$	−9.59632	+	7.36351i	−1.26006	+	0.966877i
$59$	−0.358133	+	0.620305i	−0.0466250	+	0.0807568i	−0.888396	−	0.459078i	$-0.848180\pi$
$59$	−0.358133	+	0.620305i	−0.0466250	+	0.0807568i	0.841771	+	0.539835i	$0.181513\pi$
$60$	0.896478	−	0.984870i	0.115735	−	0.127146i
$61$	6.94212	+	0.913947i	0.888847	+	0.117019i	0.561102	−	0.827747i	$-0.310378\pi$
$61$	6.94212	+	0.913947i	0.888847	+	0.117019i	0.327746	+	0.944766i	$0.393711\pi$
$62$	−2.91851	−	2.23945i	−0.370651	−	0.284410i
$63$	−5.19639	+	8.27733i	−0.654684	+	1.04285i
$64$	2.24826			0.281033
$65$	−3.13215	−	0.781755i	−0.388495	−	0.0969647i
$66$	0.493749	+	10.5089i	0.0607763	+	1.29356i
$67$	−9.49747	−	2.54484i	−1.16030	−	0.310902i	−0.373215	−	0.927745i	$-0.621745\pi$
$67$	−9.49747	−	2.54484i	−1.16030	−	0.310902i	−0.787086	+	0.616843i	$0.788411\pi$
$68$	−0.955242	−	3.40953i	−0.115840	−	0.413467i
$69$	4.88977	+	15.3309i	0.588659	+	1.84563i
$70$			4.93175i			0.589457i
$71$	0.623579	+	0.0820957i	0.0740052	+	0.00974297i	0.167438	−	0.985883i	$-0.446451\pi$
$71$	0.623579	+	0.0820957i	0.0740052	+	0.00974297i	−0.0934326	+	0.995626i	$0.529784\pi$
$72$	−2.01589	−	5.42637i	−0.237575	−	0.639504i
$73$	5.72900	−	2.37303i	0.670529	−	0.277742i	−0.0213327	−	0.999772i	$-0.506791\pi$
$73$	5.72900	−	2.37303i	0.670529	−	0.277742i	0.691861	+	0.722030i	$0.256791\pi$
$74$	9.37065	+	1.23367i	1.08932	+	0.143411i
$75$	−7.15705	+	1.28647i	−0.826425	+	0.148548i
$76$	3.90812	−	2.25635i	0.448292	−	0.258822i
$77$	−8.27543	−	8.27543i	−0.943073	−	0.943073i
$78$	6.97230	−	7.92965i	0.789457	−	0.897856i
$79$	13.8331	−	5.72985i	1.55634	−	0.644658i	0.571893	−	0.820328i	$-0.306209\pi$
$79$	13.8331	−	5.72985i	1.55634	−	0.644658i	0.984449	+	0.175670i	$0.0562091\pi$
$80$	−3.53748	−	2.71440i	−0.395502	−	0.303479i
$81$	−6.81706	+	5.87602i	−0.757452	+	0.652891i
$82$	−3.81151	−	4.96726i	−0.420911	−	0.548542i
$83$	6.09485			0.668996			0.334498	−	0.942396i	$-0.391433\pi$
$83$	6.09485			0.668996			0.334498	+	0.942396i	$0.391433\pi$
$84$	−4.30560	−	2.22324i	−0.469780	−	0.242575i
$85$	1.37387	−	3.42645i	0.149017	−	0.371651i
$86$	−5.14210	+	5.14210i	−0.554487	+	0.554487i
$87$	5.68508	−	11.0099i	0.609505	−	1.18039i
$88$	6.87254	−	0.904787i	0.732615	−	0.0964506i
$89$	2.86324	−	10.6858i	0.303503	−	1.13269i	−0.630724	−	0.776007i	$-0.717242\pi$
$89$	2.86324	−	10.6858i	0.303503	−	1.13269i	0.934227	−	0.356680i	$-0.116091\pi$
$90$	−1.33692	+	4.34032i	−0.140923	+	0.457510i
$91$	0.202091	+	11.7443i	0.0211849	+	1.23113i
$92$	−7.37122	+	3.05326i	−0.768503	+	0.318324i
$93$	3.68182	+	0.803442i	0.381787	+	0.0833130i
$94$	3.17536	−	11.8506i	0.327514	−	1.22230i
$95$	4.66465	+	0.614113i	0.478583	+	0.0630067i
$96$	7.14875	−	3.36242i	0.729617	−	0.343176i
$97$	2.29571	+	0.302236i	0.233094	+	0.0306874i	0.246168	−	0.969227i	$-0.420828\pi$
$97$	2.29571	+	0.302236i	0.233094	+	0.0306874i	−0.0130741	+	0.999915i	$0.504162\pi$
$98$	5.90061	−	1.58106i	0.596051	−	0.159711i
$99$	−5.03968	−	9.52634i	−0.506506	−	0.957433i
$100$	−0.933155	−	3.48258i	−0.0933155	−	0.348258i
$101$	−6.29216	−	10.8983i	−0.626094	−	1.08443i	−0.988328	−	0.152339i	$-0.951319\pi$
$101$	−6.29216	−	10.8983i	−0.626094	−	1.08443i	0.362235	−	0.932087i	$-0.382014\pi$
$102$	7.89640	+	9.13479i	0.781860	+	0.904479i
$103$		−	12.4391i		−	1.22566i	−0.790215	−	0.612830i	$-0.790031\pi$
$103$		−	12.4391i		−	1.22566i	0.790215	−	0.612830i	$-0.209969\pi$
$104$	−5.59155	−	4.13967i	−0.548297	−	0.405928i
$105$	−2.15028	−	4.57165i	−0.209846	−	0.446148i
$106$	1.71819	−	6.41239i	0.166886	−	0.622826i
$107$	1.68026	+	12.7628i	0.162437	+	1.23383i	0.857349	+	0.514735i	$0.172110\pi$
$107$	1.68026	+	12.7628i	0.162437	+	1.23383i	−0.694913	+	0.719094i	$0.744557\pi$
$108$	−3.18657	−	3.12380i	−0.306628	−	0.300587i
$109$	−1.40519	−	0.582051i	−0.134593	−	0.0557503i	0.314370	−	0.949300i	$-0.398207\pi$
$109$	−1.40519	−	0.582051i	−0.134593	−	0.0557503i	−0.448963	+	0.893550i	$0.648207\pi$
$110$	−4.70978	−	2.71920i	−0.449060	−	0.259265i
$111$	−9.22432	+	2.94208i	−0.875534	+	0.279250i
$112$	−6.20858	+	14.9888i	−0.586655	+	1.41631i
$113$	12.8583	+	1.69283i	1.20961	+	0.159248i	0.708233	−	0.705979i	$-0.249493\pi$
$113$	12.8583	+	1.69283i	1.20961	+	0.159248i	0.501379	+	0.865228i	$0.332826\pi$
$114$	−8.78488	+	12.6351i	−0.822779	+	1.18338i
$115$	−8.03492	−	2.15295i	−0.749260	−	0.200764i
$116$	5.67600	+	2.35108i	0.527004	+	0.218292i
$117$	−3.00582	+	10.3906i	−0.277888	+	0.960613i
$118$	1.21106			0.111487
$119$	−13.3362	−	1.60177i	−1.22253	−	0.146834i
$120$	2.92357	+	0.637976i	0.266884	+	0.0582390i
$121$	1.84057	−	0.493179i	0.167325	−	0.0448345i
$122$	−4.53057	−	10.9378i	−0.410179	−	0.990259i
$123$	5.69897	+	2.94272i	0.513859	+	0.265336i
$124$	−0.243883	+	1.85247i	−0.0219013	+	0.166357i
$125$	3.15168	−	7.60884i	0.281895	−	0.680555i
$126$	16.5132	+	0.611292i	1.47112	+	0.0544583i
$127$	7.71151	+	2.06629i	0.684286	+	0.183354i	0.584182	−	0.811623i	$-0.301416\pi$
$127$	7.71151	+	2.06629i	0.684286	+	0.183354i	0.100105	+	0.994977i	$0.468082\pi$
$128$	−6.46176	−	11.1921i	−0.571144	−	0.989251i
$129$	2.52465	−	7.00864i	0.222283	−	0.617076i
$130$	1.50320	+	5.24719i	0.131840	+	0.460209i
$131$	−12.6172	−	5.22623i	−1.10237	−	0.456618i	−0.244068	−	0.969758i	$-0.578482\pi$
$131$	−12.6172	−	5.22623i	−1.10237	−	0.456618i	−0.858305	+	0.513140i	$0.828482\pi$
$132$	4.49713	−	2.88600i	0.391425	−	0.251194i
$133$	−2.23447	−	16.9725i	−0.193753	−	1.47170i
$134$	4.30279	+	16.0582i	0.371705	+	1.38722i
$135$	−0.653111	−	4.60631i	−0.0562108	−	0.396448i
$136$	5.56133	−	5.68920i	0.476880	−	0.487845i
$137$	2.25259	+	8.40676i	0.192451	+	0.718238i	0.992912	+	0.118853i	$0.0379216\pi$
$137$	2.25259	+	8.40676i	0.192451	+	0.718238i	−0.800461	+	0.599385i	$0.795412\pi$
$138$	18.3148	−	20.1206i	1.55906	−	1.71278i
$139$	−5.31900	+	4.08141i	−0.451151	+	0.346181i	−0.809211	−	0.587518i	$-0.800105\pi$
$139$	−5.31900	+	4.08141i	−0.451151	+	0.346181i	0.358060	+	0.933699i	$0.383438\pi$
$140$	2.16931	−	1.25245i	0.183340	−	0.105851i
$141$	2.22345	+	12.3698i	0.187248	+	1.04173i
$142$	−0.406961	−	0.982490i	−0.0341514	−	0.0824488i
$143$	−11.3271	−	6.28238i	−0.947220	−	0.525359i
$144$	−9.52724	+	11.5083i	−0.793937	+	0.959022i
$145$	3.20266	+	5.54717i	0.265967	+	0.460668i
$146$	−8.31802	−	6.38264i	−0.688404	−	0.528231i
$147$	−4.78041	+	4.03833i	−0.394282	+	0.333076i
$148$	−1.83709	−	4.43512i	−0.151008	−	0.364565i
$149$	3.55350	+	13.2618i	0.291114	+	1.08645i	0.944255	+	0.329216i	$0.106784\pi$
$149$	3.55350	+	13.2618i	0.291114	+	1.08645i	−0.653141	+	0.757237i	$0.726549\pi$
$150$	7.93427	+	9.39227i	0.647830	+	0.766876i
$151$	−15.3339			−1.24785			−0.623927	−	0.781483i	$-0.714464\pi$
$151$	−15.3339			−1.24785			−0.623927	+	0.781483i	$0.714464\pi$
$152$	8.78112	+	5.06978i	0.712243	+	0.411213i
$153$	−11.3027	−	5.02491i	−0.913766	−	0.406240i
$154$	−5.12144	+	19.1135i	−0.412697	+	1.54021i
$155$	−1.37747	+	1.37747i	−0.110641	+	0.110641i
$156$	−5.25864	−	1.05309i	−0.421028	−	0.0843145i
$157$			20.2212i			1.61383i	0.590669	+	0.806914i	$0.298864\pi$
$157$			20.2212i			1.61383i	−0.590669	+	0.806914i	$0.701136\pi$
$158$	−20.0845	−	15.4113i	−1.59783	−	1.22606i
$159$	1.20311	+	6.69332i	0.0954129	+	0.530815i
$160$	−0.533039	+	4.04883i	−0.0421404	+	0.320088i
$161$			30.2665i			2.38534i
$162$	14.3672	+	5.01445i	1.12879	+	0.393972i
$163$	−8.77026	−	11.4296i	−0.686940	−	0.895237i	0.311547	−	0.950231i	$-0.399153\pi$
$163$	−8.77026	−	11.4296i	−0.686940	−	0.895237i	−0.998487	+	0.0549936i	$0.982486\pi$
$164$	−1.21697	+	2.93802i	−0.0950293	+	0.229421i
$165$	5.55148	+	0.467148i	0.432182	+	0.0363674i
$166$	−5.15256	−	8.92449i	−0.399916	−	0.692675i
$167$	−14.9229	−	11.4508i	−1.15477	−	0.886087i	−0.159889	−	0.987135i	$-0.551114\pi$
$167$	−14.9229	−	11.4508i	−1.15477	−	0.886087i	−0.994882	+	0.101048i	$0.967780\pi$
$168$	−0.510985	−	10.8758i	−0.0394233	−	0.839086i
$169$	3.79468	+	12.4338i	0.291899	+	0.956449i
$170$	−6.17871	+	0.884991i	−0.473885	+	0.0678757i
$171$	2.63445	−	15.5428i	0.201462	−	1.18859i
$172$	3.56771	+	0.955964i	0.272035	+	0.0728916i
$173$	−14.3514	+	11.0122i	−1.09112	+	0.837243i	−0.987538	−	0.157378i	$-0.949696\pi$
$173$	−14.3514	+	11.0122i	−1.09112	+	0.837243i	−0.103578	+	0.994621i	$0.533029\pi$
$174$	−20.9276	+	0.983256i	−1.58652	+	0.0745404i
$175$	−13.5602	−	1.78523i	−1.02505	−	0.134951i
$176$	−10.8910	−	14.1935i	−0.820942	−	1.06987i
$177$	−1.12263	+	0.528030i	−0.0843820	+	0.0396892i
$178$	−18.0674	+	4.84114i	−1.35421	+	0.362859i
$179$	−1.97909	+	7.38608i	−0.147924	+	0.552062i	0.851683	+	0.524057i	$0.175582\pi$
$179$	−1.97909	+	7.38608i	−0.147924	+	0.552062i	−0.999608	+	0.0280048i	$0.991085\pi$
$180$	2.24867	−	0.514188i	0.167606	−	0.0383253i
$181$	−0.994900	−	2.40190i	−0.0739503	−	0.178532i	0.882582	−	0.470159i	$-0.155803\pi$
$181$	−0.994900	−	2.40190i	−0.0739503	−	0.178532i	−0.956532	+	0.291627i	$0.905803\pi$
$182$	17.0259	−	10.2245i	1.26204	−	0.757887i
$183$	8.96871	+	8.16377i	0.662986	+	0.603483i
$184$	−14.2224	−	10.9132i	−1.04849	−	0.804533i
$185$	1.29539	−	4.83446i	0.0952389	−	0.355436i
$186$	−1.93614	−	6.07040i	−0.141965	−	0.445104i
$187$	8.88280	−	11.8528i	0.649575	−	0.866764i
$188$	−6.01908	+	1.61281i	−0.438987	+	0.117626i
$189$	−15.5740	+	6.63323i	−1.13284	+	0.482497i
$190$	−3.04425	−	7.34947i	−0.220853	−	0.533187i
$191$	2.01082	−	3.48284i	0.145498	−	0.252009i	−0.784061	−	0.620684i	$-0.786855\pi$
$191$	2.01082	−	3.48284i	0.145498	−	0.252009i	0.929559	+	0.368675i	$0.120188\pi$
$192$	3.19726	+	2.22298i	0.230742	+	0.160430i
$193$	−2.23384	−	16.9677i	−0.160796	−	1.22136i	−0.861442	−	0.507855i	$-0.830439\pi$
$193$	−2.23384	−	16.9677i	−0.160796	−	1.22136i	0.700647	−	0.713508i	$-0.252895\pi$
$194$	−1.49823	−	3.61705i	−0.107567	−	0.259689i
$195$	−3.68126	−	4.20865i	−0.263621	−	0.301388i
$196$	−2.19395	−	2.19395i	−0.156711	−	0.156711i
$197$	1.55478	−	0.204690i	0.110773	−	0.0145836i	−0.0749357	−	0.997188i	$-0.523875\pi$
$197$	1.55478	−	0.204690i	0.110773	−	0.0145836i	0.185709	+	0.982605i	$0.440542\pi$
$198$	−9.68860	+	15.4330i	−0.688539	+	1.09677i
$199$	−11.9821	+	9.19416i	−0.849386	+	0.651757i	−0.938885	−	0.344230i	$-0.888140\pi$
$199$	−11.9821	+	9.19416i	−0.849386	+	0.651757i	0.0894996	+	0.995987i	$0.471473\pi$
$200$	5.72829	−	5.72829i	0.405051	−	0.405051i
$201$	−10.9901	−	13.0097i	−0.775184	−	0.917632i
$202$	−10.6387	+	18.4268i	−0.748539	+	1.29651i
$203$	16.4798	−	16.4798i	1.15665	−	1.15665i
$204$	2.01274	−	5.79319i	0.140920	−	0.405605i
$205$	−2.87134	+	1.65777i	−0.200543	+	0.115783i
$206$	−18.2142	+	10.5160i	−1.26904	+	0.732681i
$207$	−8.20476	+	26.6369i	−0.570270	+	1.85139i
$208$	−2.03707	+	17.8399i	−0.141246	+	1.23698i
$209$	17.4406	+	7.22412i	1.20639	+	0.499703i
$210$	−4.87629	+	7.01344i	−0.336496	+	0.483973i
$211$	10.2614	−	13.3729i	0.706424	−	0.920630i	−0.292945	−	0.956129i	$-0.594635\pi$
$211$	10.2614	−	13.3729i	0.706424	−	0.920630i	0.999370	+	0.0354990i	$0.0113021\pi$
$212$	−3.25694	+	0.872694i	−0.223687	+	0.0599368i
$213$	0.805619	+	0.733314i	0.0552001	+	0.0502459i
$214$	17.2677	−	13.2500i	1.18040	−	0.905751i
$215$	2.34426	+	3.05510i	0.159877	+	0.208356i
$216$	2.49854	−	9.71005i	0.170004	−	0.660685i
$217$	6.13837	+	3.54399i	0.416700	+	0.240582i
$218$	0.335667	+	2.54964i	0.0227342	+	0.172684i
$219$	10.4935	+	2.28988i	0.709088	+	0.154736i
$220$			2.76223i			0.186229i
$221$	−14.6774	+	2.36067i	−0.987311	+	0.158796i
$222$	12.1062	+	11.0197i	0.812515	+	0.739591i
$223$	8.88077	−	5.12731i	0.594700	−	0.343350i	−0.172254	−	0.985053i	$-0.555105\pi$
$223$	8.88077	−	5.12731i	0.594700	−	0.343350i	0.766954	+	0.641702i	$0.221772\pi$
$224$	14.7318	−	1.93948i	0.984308	−	0.129587i
$225$	−11.4500	−	5.24708i	−0.763336	−	0.349805i
$226$	−8.39163	−	20.2592i	−0.558203	−	1.34762i
$227$	−10.2167	+	7.83952i	−0.678104	+	0.520327i	−0.889420	−	0.457090i	$-0.848892\pi$
$227$	−10.2167	+	7.83952i	−0.678104	+	0.520327i	0.211316	+	0.977418i	$0.432225\pi$
$228$	7.78871	+	0.655407i	0.515820	+	0.0434054i
$229$		−	26.3579i		−	1.74178i	−0.491479	−	0.870890i	$-0.663543\pi$
$229$		−	26.3579i		−	1.74178i	0.491479	−	0.870890i	$-0.336457\pi$
$230$	3.64019	+	13.5854i	0.240027	+	0.895793i
$231$	−3.58612	−	19.9508i	−0.235950	−	1.31267i
$232$	1.80180	+	13.6860i	0.118294	+	0.898533i
$233$	7.22474	−	17.4421i	0.473308	−	1.14267i	−0.489384	−	0.872069i	$-0.662778\pi$
$233$	7.22474	−	17.4421i	0.473308	−	1.14267i	0.962692	−	0.270599i	$-0.0872217\pi$
$234$	17.7558	−	4.38286i	1.16073	−	0.286517i
$235$	−6.00227	−	2.48622i	−0.391545	−	0.162183i
$236$	−0.307556	−	0.532702i	−0.0200202	−	0.0346760i
$237$	25.3374	+	5.52909i	1.64584	+	0.359153i
$238$	8.92895	+	20.8819i	0.578778	+	1.35357i
$239$	3.90725	+	3.90725i	0.252739	+	0.252739i	0.822093	−	0.569354i	$-0.192806\pi$
$239$	3.90725	+	3.90725i	0.252739	+	0.252739i	−0.569354	+	0.822093i	$0.692806\pi$
$240$	−2.34677	−	7.35785i	−0.151483	−	0.474947i
$241$	27.1490	+	3.57423i	1.74882	+	0.230237i	0.935931	−	0.352182i	$-0.114560\pi$
$241$	27.1490	+	3.57423i	1.74882	+	0.230237i	0.812889	+	0.582419i	$0.197894\pi$
$242$	−2.27816	−	2.27816i	−0.146445	−	0.146445i
$243$	−15.5045	+	1.61589i	−0.994613	+	0.103659i
$244$	−3.66058	+	4.77056i	−0.234345	+	0.305404i
$245$	−0.422234	−	3.20719i	−0.0269756	−	0.204900i
$246$	−0.508955	−	10.8326i	−0.0324498	−	0.690661i
$247$	−7.55061	−	17.3770i	−0.480434	−	1.10567i
$248$	−3.87865	+	1.60659i	−0.246295	+	0.102019i
$249$	8.66748	+	6.02630i	0.549279	+	0.381901i
$250$	−13.8058	+	1.81757i	−0.873155	+	0.114953i
$251$	12.4933	+	7.21303i	0.788573	+	0.455283i	0.839460	−	0.543422i	$-0.182872\pi$
$251$	12.4933	+	7.21303i	0.788573	+	0.455283i	−0.0508871	+	0.998704i	$0.516205\pi$
$252$	−3.92476	−	7.41884i	−0.247236	−	0.467343i
$253$	−28.9043	−	16.6879i	−1.81720	−	1.04916i
$254$	−3.49367	−	13.0386i	−0.219212	−	0.818112i
$255$	5.34170	−	3.51433i	0.334510	−	0.220076i
$256$	−8.67722	+	15.0294i	−0.542326	+	0.939337i
$257$	−1.05673	−	0.283149i	−0.0659168	−	0.0176623i	0.225710	−	0.974195i	$-0.427530\pi$
$257$	−1.05673	−	0.283149i	−0.0659168	−	0.0176623i	−0.291627	+	0.956532i	$0.594197\pi$
$258$	−12.3969	+	2.22831i	−0.771795	+	0.138729i
$259$	−18.2108			−1.13156
$260$	1.92631	−	1.99377i	0.119465	−	0.123648i
$261$	18.9708	−	10.0361i	1.17427	−	0.621216i
$262$	3.01395	+	22.8932i	0.186203	+	1.41435i
$263$	21.2914	+	5.70501i	1.31288	+	0.351786i	0.846307	−	0.532696i	$-0.178821\pi$
$263$	21.2914	+	5.70501i	1.31288	+	0.351786i	0.466575	+	0.884481i	$0.345488\pi$
$264$	10.6680	+	5.50855i	0.656573	+	0.339028i
$265$	−3.24784	−	1.34530i	−0.199513	−	0.0826411i
$266$	−22.9632	+	17.6203i	−1.40796	+	1.08037i
$267$	14.6374	−	12.3652i	0.895793	−	0.756736i
$268$	5.97075	−	5.97075i	0.364721	−	0.364721i
$269$	−2.55873	−	3.33461i	−0.156009	−	0.203315i	0.708809	−	0.705400i	$-0.249233\pi$
$269$	−2.55873	−	3.33461i	−0.156009	−	0.203315i	−0.864818	+	0.502086i	$0.832566\pi$
$270$	−6.19273	+	4.85048i	−0.376878	+	0.295191i
$271$	−7.74331	+	28.8984i	−0.470373	+	1.75546i	0.168059	+	0.985777i	$0.446250\pi$
$271$	−7.74331	+	28.8984i	−0.470373	+	1.75546i	−0.638432	+	0.769678i	$0.720417\pi$
$272$	−19.8928	−	5.08866i	−1.20618	−	0.308545i
$273$	−11.3248	+	16.9013i	−0.685407	+	1.02291i
$274$	10.4054	−	10.4054i	0.628615	−	0.628615i
$275$	9.18148	−	11.9655i	0.553664	−	0.721549i
$276$	−13.5015	−	2.94628i	−0.812696	−	0.177345i
$277$	1.57561	−	1.20901i	0.0946692	−	0.0726423i	−0.560342	−	0.828261i	$-0.689330\pi$
$277$	1.57561	−	1.20901i	0.0946692	−	0.0726423i	0.655012	+	0.755619i	$0.272664\pi$
$278$	10.4729	+	4.33803i	0.628125	+	0.260178i
$279$	4.44151	+	4.78299i	0.265907	+	0.286350i
$280$	4.87420	+	2.81412i	0.291289	+	0.168176i
$281$	22.8124			1.36087			0.680437	−	0.732806i	$-0.261790\pi$
$281$	22.8124			1.36087			0.680437	+	0.732806i	$0.261790\pi$
$282$	16.2330	−	13.7131i	0.966662	−	0.816603i
$283$	−2.83552	+	3.69532i	−0.168554	+	0.219664i	−0.869991	−	0.493068i	$-0.835876\pi$
$283$	−2.83552	+	3.69532i	−0.168554	+	0.219664i	0.701437	+	0.712732i	$0.252542\pi$
$284$	−0.328813	+	0.428518i	−0.0195115	+	0.0254279i
$285$	6.02639	+	5.48552i	0.356973	+	0.324934i
$286$	0.376796	+	21.8970i	0.0222804	+	1.29480i
$287$	8.53029	+	8.53029i	0.503527	+	0.503527i
$288$	13.4908	+	2.28666i	0.794956	+	0.134742i
$289$	−0.386381	−	16.9956i	−0.0227283	−	0.999742i
$290$	5.41503	−	9.37911i	0.317982	−	0.550760i
$291$	2.96589	+	2.69970i	0.173864	+	0.158259i
$292$	−0.695089	+	5.27973i	−0.0406770	+	0.308973i
$293$	10.7145	−	2.87093i	0.625945	−	0.167722i	0.0681162	−	0.997677i	$-0.478301\pi$
$293$	10.7145	−	2.87093i	0.625945	−	0.167722i	0.557829	+	0.829956i	$0.311634\pi$
$294$	9.95453	+	3.58582i	0.580560	+	0.209129i
$295$	0.0837077	−	0.635823i	0.00487365	−	0.0370190i
$296$	6.56628	−	8.55734i	0.381657	−	0.497385i
$297$	2.25228	−	18.5304i	0.130691	−	1.07524i
$298$	16.4148	−	16.4148i	0.950883	−	0.950883i
$299$	9.22528	+	32.2024i	0.533512	+	1.86231i
$300$	2.11638	−	5.87524i	0.122189	−	0.339207i
$301$	8.52965	−	11.1161i	0.491641	−	0.640719i
$302$	12.9632	+	22.4529i	0.745948	+	1.29202i
$303$	1.82770	−	21.7199i	0.104998	−	1.24778i
$304$		−	26.1693i		−	1.50091i
$305$	−6.05564	+	1.62260i	−0.346745	+	0.0929101i
$306$	2.19741	+	20.7982i	0.125617	+	1.18895i
$307$	15.7284	+	15.7284i	0.897666	+	0.897666i	0.995229	−	0.0975632i	$-0.0311048\pi$
$307$	15.7284	+	15.7284i	0.897666	+	0.897666i	−0.0975632	+	0.995229i	$0.531105\pi$
$308$	9.70798	−	2.60124i	0.553163	−	0.148220i
$309$	12.2992	−	17.6896i	0.699677	−	1.00633i
$310$	3.18149	+	0.852479i	0.180697	+	0.0484175i
$311$	2.50210	−	6.04060i	0.141881	−	0.342531i	−0.836926	−	0.547316i	$-0.815650\pi$
$311$	2.50210	−	6.04060i	0.141881	−	0.342531i	0.978807	+	0.204785i	$0.0656496\pi$
$312$	−3.85863	−	11.4157i	−0.218452	−	0.646286i
$313$	−3.87233	−	9.34862i	−0.218877	−	0.528415i	0.775857	−	0.630909i	$-0.217318\pi$
$313$	−3.87233	−	9.34862i	−0.218877	−	0.528415i	−0.994734	+	0.102494i	$0.967318\pi$
$314$	29.6093	−	17.0949i	1.67095	−	0.964722i
$315$	1.46232	−	8.62744i	0.0823926	−	0.486101i
$316$	−1.67834	+	12.7483i	−0.0944141	+	0.717146i
$317$	−8.67632	−	3.59385i	−0.487311	−	0.201851i	0.125480	−	0.992096i	$-0.459953\pi$
$317$	−8.67632	−	3.59385i	−0.487311	−	0.201851i	−0.612790	+	0.790246i	$0.709953\pi$
$318$	8.78372	−	7.42018i	0.492566	−	0.416103i
$319$	6.65168	+	24.8244i	0.372423	+	1.38990i
$320$	−1.85976	+	0.770336i	−0.103963	+	0.0430631i
$321$	−10.2298	+	19.8114i	−0.570972	+	1.10576i
$322$	44.3183	−	25.5872i	2.46976	−	1.42592i
$323$	20.8628	−	5.84510i	1.16084	−	0.325230i
$324$	−1.44296	−	7.59308i	−0.0801643	−	0.421838i
$325$	−14.9716	+	2.23374i	−0.830477	+	0.123906i
$326$	−9.32169	+	22.5046i	−0.516281	+	1.24641i
$327$	−1.42282	−	2.21712i	−0.0786822	−	0.122607i
$328$	−7.08419	+	0.932651i	−0.391159	+	0.0514971i
$329$	−3.08548	+	23.4366i	−0.170108	+	1.29210i
$330$	−4.00917	−	8.52378i	−0.220697	−	0.469219i
$331$	−8.82787	+	15.2903i	−0.485224	+	0.840432i	−0.999856	−	0.0169792i	$-0.994595\pi$
$331$	−8.82787	+	15.2903i	−0.485224	+	0.840432i	0.514632	+	0.857411i	$0.327928\pi$
$332$	−2.61705	+	4.53286i	−0.143629	+	0.248773i
$333$	−16.0269	−	4.93665i	−0.878268	−	0.270527i
$334$	−4.15121	+	31.5316i	−0.227144	+	1.72533i
$335$	8.72822	−	1.14909i	0.476874	−	0.0627816i
$336$	−23.6495	+	15.1769i	−1.29018	+	0.827965i
$337$	0.0439988	−	0.106222i	0.00239677	−	0.00578631i	−0.922677	−	0.385575i	$-0.874003\pi$
$337$	0.0439988	−	0.106222i	0.00239677	−	0.00578631i	0.925073	+	0.379788i	$0.124003\pi$
$338$	14.9985	−	16.0679i	0.815809	−	0.873981i
$339$	16.6121	+	15.1211i	0.902243	+	0.821266i
$340$	1.95840	+	2.49305i	0.106209	+	0.135205i
$341$	−6.76896	+	3.90806i	−0.366560	+	0.211633i
$342$	−24.9859	+	9.28225i	−1.35109	+	0.501927i
$343$	10.1942	−	4.22259i	0.550436	−	0.227998i
$344$	2.14795	+	8.01624i	0.115809	+	0.432207i
$345$	−9.29771	−	11.0063i	−0.500572	−	0.592557i
$346$	28.2574	+	11.7046i	1.51913	+	0.629244i
$347$	−1.12390	+	8.53684i	−0.0603339	+	0.458282i	0.934435	+	0.356133i	$0.115905\pi$
$347$	−1.12390	+	8.53684i	−0.0603339	+	0.458282i	−0.994769	+	0.102149i	$0.967428\pi$
$348$	5.74721	+	8.95564i	0.308083	+	0.480072i
$349$	15.6620	−	9.04247i	0.838368	−	0.484032i	−0.0183410	−	0.999832i	$-0.505838\pi$
$349$	15.6620	−	9.04247i	0.838368	−	0.484032i	0.856709	+	0.515800i	$0.172505\pi$
$350$	8.84965	+	21.3650i	0.473034	+	1.14200i
$351$	−14.5483	+	11.8045i	−0.776533	+	0.630077i
$352$	−6.27040	+	15.1381i	−0.334214	+	0.806863i
$353$	0.767757	+	0.205720i	0.0408636	+	0.0109494i	0.279193	−	0.960235i	$-0.409933\pi$
$353$	0.767757	+	0.205720i	0.0408636	+	0.0109494i	−0.238329	+	0.971184i	$0.576600\pi$
$354$	1.72224	+	1.19744i	0.0915362	+	0.0636430i
$355$	−0.543951	+	0.145751i	−0.0288699	+	0.00773567i
$356$	6.71778	+	6.71778i	0.356041	+	0.356041i
$357$	−17.3817	−	15.4641i	−0.919935	−	0.818448i
$358$	12.4883	−	3.34624i	0.660028	−	0.176854i
$359$		−	6.92966i		−	0.365733i	−0.983138	−	0.182867i	$-0.941462\pi$
$359$		−	6.92966i		−	0.365733i	0.983138	−	0.182867i	$-0.0585377\pi$
$360$	3.52680	+	3.79795i	0.185879	+	0.200170i
$361$	4.30656	+	7.45919i	0.226661	+	0.392589i
$362$	−2.67594	+	3.48736i	−0.140644	+	0.183291i
$363$	3.10511	+	1.11852i	0.162976	+	0.0587071i
$364$	−8.82123	−	4.89254i	−0.462358	−	0.256439i
$365$	−3.92592	+	3.92592i	−0.205492	+	0.205492i
$366$	4.37183	−	20.0342i	0.228519	−	1.04721i
$367$	2.84517	−	3.70789i	0.148517	−	0.193551i	−0.713171	−	0.700991i	$-0.752741\pi$
$367$	2.84517	−	3.70789i	0.148517	−	0.193551i	0.861687	+	0.507440i	$0.169408\pi$
$368$	−6.03916	+	45.8720i	−0.314813	+	2.39124i
$369$	5.19488	+	9.81972i	0.270435	+	0.511194i
$370$	−8.17406	+	2.19023i	−0.424949	+	0.113865i
$371$	−1.66956	+	12.6816i	−0.0866792	+	0.658394i
$372$	−2.17847	+	2.39326i	−0.112948	+	0.124085i
$373$	13.7415	−	23.8010i	0.711507	−	1.23237i	−0.252784	−	0.967523i	$-0.581346\pi$
$373$	13.7415	−	23.8010i	0.711507	−	1.23237i	0.964291	−	0.264844i	$-0.0853204\pi$
$374$	−24.8652	−	2.98649i	−1.28575	−	0.154428i
$375$	12.0053	−	7.70428i	0.619949	−	0.397847i
$376$	−9.90041	−	9.90041i	−0.510575	−	0.510575i
$377$	12.5108	−	22.5569i	0.644338	−	1.16174i
$378$	22.8790	+	17.1968i	1.17677	+	0.884510i
$379$	2.61199	−	3.40401i	0.134169	−	0.174852i	−0.721437	−	0.692480i	$-0.756518\pi$
$379$	2.61199	−	3.40401i	0.134169	−	0.174852i	0.855606	+	0.517628i	$0.173185\pi$
$380$	−2.45967	+	3.20551i	−0.126179	+	0.164439i
$381$	8.92348	+	10.5633i	0.457164	+	0.541172i
$382$	−6.79975			−0.347905
$383$	12.3037	+	7.10354i	0.628689	+	0.362974i	0.780244	−	0.625475i	$-0.215095\pi$
$383$	12.3037	+	7.10354i	0.628689	+	0.362974i	−0.151555	+	0.988449i	$0.548428\pi$
$384$	1.87696	−	22.3054i	0.0957832	−	1.13827i
$385$	9.68086	+	4.00994i	0.493382	+	0.204366i
$386$	−22.9568	+	17.6154i	−1.16847	+	0.896599i
$387$	10.5201	−	7.47073i	0.534768	−	0.379758i
$388$	−1.21053	+	1.57759i	−0.0614553	+	0.0800901i
$389$	8.07146	−	8.07146i	0.409239	−	0.409239i	−0.472234	−	0.881473i	$-0.656552\pi$
$389$	8.07146	−	8.07146i	0.409239	−	0.409239i	0.881473	+	0.472234i	$0.156552\pi$
$390$	−3.05048	+	8.94833i	−0.154467	+	0.453116i
$391$	−37.9192	+	5.43126i	−1.91766	+	0.274671i
$392$	1.80435	−	6.73392i	0.0911334	−	0.340114i
$393$	−12.7755	−	19.9076i	−0.644439	−	1.00420i
$394$	−1.61412	−	2.10357i	−0.0813183	−	0.105976i
$395$	−9.47941	+	9.47941i	−0.476961	+	0.476961i
$396$	9.24891	+	0.342379i	0.464775	+	0.0172052i
$397$	1.89231	−	1.45202i	0.0949723	−	0.0728748i	−0.560184	−	0.828368i	$-0.689270\pi$
$397$	1.89231	−	1.45202i	0.0949723	−	0.0728748i	0.655156	+	0.755494i	$0.272603\pi$
$398$	23.5923	+	9.77225i	1.18257	+	0.489838i
$399$	13.6039	−	26.3458i	0.681049	−	1.31894i
$400$	−20.1956	−	5.41139i	−1.00978	−	0.270569i
$401$	−2.81623	−	21.3914i	−0.140636	−	1.06824i	−0.905591	−	0.424153i	$-0.860572\pi$
$401$	−2.81623	−	21.3914i	−0.140636	−	1.06824i	0.764955	−	0.644084i	$-0.222761\pi$
$402$	−9.75864	+	27.0908i	−0.486717	+	1.35117i
$403$	7.61120	+	1.89969i	0.379141	+	0.0946301i
$404$	10.8071			0.537674
$405$	3.62571	−	7.19639i	0.180163	−	0.357592i
$406$	−38.0627	−	10.1989i	−1.88902	−	0.506162i
$407$	10.0408	−	17.3912i	0.497704	−	0.862049i
$408$	13.5340	−	2.59182i	0.670031	−	0.128314i
$409$	5.97856	+	22.3123i	0.295621	+	1.10327i	0.940723	+	0.339175i	$0.110148\pi$
$409$	5.97856	+	22.3123i	0.295621	+	1.10327i	−0.645103	+	0.764096i	$0.723185\pi$
$410$	4.85483	+	2.80294i	0.239763	+	0.138427i
$411$	−5.10882	+	14.1825i	−0.251999	+	0.699571i
$412$	9.25121	+	5.34119i	0.455774	+	0.263142i
$413$	−2.31346	+	0.304572i	−0.113838	+	0.0149870i
$414$	45.9398	−	10.5047i	2.25782	−	0.516279i
$415$	−5.04163	+	2.08831i	−0.247484	+	0.102511i
$416$	15.0829	−	6.55379i	0.739499	−	0.321326i
$417$	−11.5996	+	0.544994i	−0.568037	+	0.0266885i
$418$	−4.16613	−	31.6449i	−0.203772	−	1.54780i
$419$	6.02823	−	7.85615i	0.294498	−	0.383798i	−0.622546	−	0.782583i	$-0.713902\pi$
$419$	6.02823	−	7.85615i	0.294498	−	0.383798i	0.917044	+	0.398786i	$0.130568\pi$
$420$	4.32334	+	0.363802i	0.210957	+	0.0177517i
$421$	10.9106	+	10.9106i	0.531749	+	0.531749i	0.921093	−	0.389344i	$-0.127298\pi$
$421$	10.9106	+	10.9106i	0.531749	+	0.531749i	−0.389344	+	0.921093i	$0.627298\pi$
$422$	−28.2565	−	3.72004i	−1.37550	−	0.181089i
$423$	−9.06872	+	19.7895i	−0.440936	+	0.962200i
$424$	−5.35713	−	5.35713i	−0.260165	−	0.260165i
$425$	−0.196729	−	17.3091i	−0.00954276	−	0.839615i
$426$	0.392702	−	1.79958i	0.0190265	−	0.0871901i
$427$	11.4054	+	19.7548i	0.551948	+	0.956001i
$428$	−10.2135	−	4.23056i	−0.493686	−	0.204492i
$429$	−9.89654	−	20.1339i	−0.477810	−	0.972073i
$430$	2.49166	−	6.01540i	0.120158	−	0.290088i
$431$	−3.31483	−	25.1786i	−0.159670	−	1.21281i	−0.864204	−	0.503142i	$-0.832177\pi$
$431$	−3.31483	−	25.1786i	−0.159670	−	1.21281i	0.704534	−	0.709670i	$-0.251156\pi$
$432$	−24.9275	+	6.94580i	−1.19933	+	0.334180i
$433$	−5.67646	−	21.1848i	−0.272793	−	1.01808i	−0.957306	−	0.289077i	$-0.906652\pi$
$433$	−5.67646	−	21.1848i	−0.272793	−	1.01808i	0.684513	−	0.729001i	$-0.260015\pi$
$434$		−	11.9843i		−	0.575264i
$435$	−0.930283	+	11.0553i	−0.0446037	+	0.530060i
$436$	1.03626	−	0.795147i	0.0496277	−	0.0380806i
$437$	−18.6828	−	45.1043i	−0.893720	−	2.15763i
$438$	−5.51819	−	17.3012i	−0.263669	−	0.826684i
$439$	26.7967	−	3.52785i	1.27894	−	0.168375i	0.539721	−	0.841844i	$-0.318530\pi$
$439$	26.7967	−	3.52785i	1.27894	−	0.168375i	0.739216	+	0.673469i	$0.235196\pi$
$440$	−5.37492	+	3.10321i	−0.256239	+	0.147940i
$441$	−10.7911	+	1.01626i	−0.513863	+	0.0483932i
$442$	15.8649	+	19.4960i	0.754616	+	0.927331i
$443$		−	20.4779i		−	0.972936i	−0.873698	−	0.486468i	$-0.838285\pi$
$443$		−	20.4779i		−	0.972936i	0.873698	−	0.486468i	$-0.161715\pi$
$444$	1.77272	−	8.12361i	0.0841296	−	0.385530i
$445$	1.29286	+	9.82026i	0.0612875	+	0.465525i
$446$	−15.0155	−	8.66922i	−0.711006	−	0.410499i
$447$	−8.05926	+	22.3732i	−0.381190	+	1.05822i
$448$	4.45875	+	5.81075i	0.210656	+	0.274532i
$449$	10.4596	−	8.02590i	0.493617	−	0.378766i	−0.331745	−	0.943369i	$-0.607638\pi$
$449$	10.4596	−	8.02590i	0.493617	−	0.378766i	0.825362	+	0.564603i	$0.190971\pi$
$450$	1.99668	+	21.2018i	0.0941245	+	0.999461i
$451$	−12.8497	+	3.44306i	−0.605067	+	0.162127i
$452$	−6.78021	+	8.83614i	−0.318914	+	0.415617i
$453$	−21.8063	−	15.1614i	−1.02455	−	0.712346i
$454$	20.1163	+	8.33244i	0.944104	+	0.391061i
$455$	−4.19117	−	9.64556i	−0.196485	−	0.452191i
$456$	7.47486	+	15.8921i	0.350042	+	0.744215i
$457$	24.2457	−	13.9983i	1.13417	−	0.654812i	0.189188	−	0.981941i	$-0.439414\pi$
$457$	24.2457	−	13.9983i	1.13417	−	0.654812i	0.944980	+	0.327128i	$0.106081\pi$
$458$	−38.5950	+	22.2829i	−1.80343	+	1.04121i
$459$	−11.1051	−	18.3215i	−0.518343	−	0.855173i
$460$	5.05129	−	5.05129i	0.235517	−	0.235517i
$461$	−15.5175	+	26.8772i	−0.722724	+	1.25179i	0.237181	+	0.971466i	$0.423777\pi$
$461$	−15.5175	+	26.8772i	−0.722724	+	1.25179i	−0.959904	+	0.280328i	$0.909557\pi$
$462$	−26.1817	+	22.1174i	−1.21808	+	1.02899i
$463$	−22.5897	+	22.5897i	−1.04983	+	1.04983i	−0.0511428	+	0.998691i	$0.516286\pi$
$463$	−22.5897	+	22.5897i	−1.04983	+	1.04983i	−0.998691	+	0.0511428i	$0.983714\pi$
$464$	28.2650	−	21.6885i	1.31217	−	1.00686i
$465$	−3.32088	+	0.596921i	−0.154002	+	0.0276816i
$466$	−31.6476	+	4.16649i	−1.46605	+	0.193009i
$467$	27.8032	+	27.8032i	1.28658	+	1.28658i	0.936852	+	0.349726i	$0.113725\pi$
$467$	27.8032	+	27.8032i	1.28658	+	1.28658i	0.349726	+	0.936852i	$0.386275\pi$
$468$	−6.43706	−	6.69709i	−0.297553	−	0.309573i
$469$	−12.2581	−	29.5936i	−0.566025	−	1.36651i
$470$	1.43380	+	10.8908i	0.0661361	+	0.502354i
$471$	−19.9938	+	28.7566i	−0.921265	+	1.32503i
$472$	0.691044	−	1.19692i	0.0318079	−	0.0550929i
$473$	5.91280	+	14.2748i	0.271871	+	0.656354i
$474$	−13.3241	−	41.7750i	−0.611995	−	1.91879i
$475$	21.3098	−	5.70995i	0.977762	−	0.261991i
$476$	6.91768	−	9.23064i	0.317071	−	0.423086i
$477$	−4.90710	+	10.7082i	−0.224681	+	0.490293i
$478$	2.41809	−	9.02444i	0.110601	−	0.412768i
$479$	−4.15967	−	3.19183i	−0.190060	−	0.145838i	0.509348	−	0.860560i	$-0.329887\pi$
$479$	−4.15967	−	3.19183i	−0.190060	−	0.145838i	−0.699409	+	0.714722i	$0.746553\pi$
$480$	−4.76133	+	5.23080i	−0.217324	+	0.238752i
$481$	−19.3756	+	5.55068i	−0.883451	+	0.253089i
$482$	−17.7180	−	42.7750i	−0.807033	−	1.94835i
$483$	−29.9261	+	43.0420i	−1.36169	+	1.95848i
$484$	−0.423530	+	1.58064i	−0.0192514	+	0.0718471i
$485$	−2.00256	+	0.536584i	−0.0909316	+	0.0243650i
$486$	15.4735	+	21.3366i	0.701893	+	0.967850i
$487$	13.9867	+	18.2279i	0.633799	+	0.825983i	0.994282	−	0.106783i	$-0.0340549\pi$
$487$	13.9867	+	18.2279i	0.633799	+	0.825983i	−0.360483	+	0.932766i	$0.617388\pi$
$488$	−13.3953	−	1.76353i	−0.606378	−	0.0798312i
$489$	−1.17110	−	24.9257i	−0.0529590	−	1.12718i
$490$	−4.33923	+	3.32961i	−0.196026	+	0.150416i
$491$	−22.1357	−	5.93124i	−0.998969	−	0.267673i	−0.277956	−	0.960594i	$-0.589657\pi$
$491$	−22.1357	−	5.93124i	−0.998969	−	0.267673i	−0.721014	+	0.692921i	$0.756323\pi$
$492$	−4.63563	+	2.97488i	−0.208990	+	0.134118i
$493$	23.6038	+	17.6893i	1.06306	+	0.796686i
$494$	−19.0613	+	25.7465i	−0.857608	+	1.15839i
$495$	7.43286	+	6.15338i	0.334082	+	0.276574i
$496$	8.59617	+	6.59607i	0.385979	+	0.296172i
$497$	1.02450	+	1.77448i	0.0459550	+	0.0795964i
$498$	1.49667	−	17.7861i	0.0670675	−	0.797015i
$499$	−13.7958	+	33.3060i	−0.617584	+	1.49098i	0.236916	+	0.971530i	$0.423863\pi$
$499$	−13.7958	+	33.3060i	−0.617584	+	1.49098i	−0.854501	+	0.519450i	$0.826137\pi$
$500$	4.30556	+	5.61111i	0.192550	+	0.250937i
$501$	−9.89990	−	31.0392i	−0.442295	−	1.38673i
$502$		−	24.3915i		−	1.08864i
$503$	−2.37858	+	18.0671i	−0.106056	+	0.805572i	0.852912	+	0.522055i	$0.174835\pi$
$503$	−2.37858	+	18.0671i	−0.106056	+	0.805572i	−0.958967	+	0.283517i	$0.908499\pi$
$504$	10.0268	−	15.9717i	0.446630	−	0.711437i
$505$	8.93902	+	6.85915i	0.397781	+	0.305228i
$506$			56.4315i			2.50869i
$507$	−6.89759	+	21.4342i	−0.306333	+	0.951925i
$508$	−4.84797	+	4.84797i	−0.215094	+	0.215094i
$509$	−1.27852	+	4.77150i	−0.0566694	+	0.211493i	−0.988455	−	0.151517i	$-0.951584\pi$
$509$	−1.27852	+	4.77150i	−0.0566694	+	0.211493i	0.931785	+	0.363010i	$0.118251\pi$
$510$	−9.66178	−	4.85067i	−0.427831	−	0.214791i
$511$	17.4949	+	10.1007i	0.773930	+	0.446829i
$512$	3.49570			0.154490
$513$	19.1144	−	19.4985i	0.843922	−	0.860882i
$514$	0.478746	+	1.78670i	0.0211166	+	0.0788081i
$515$	4.26208	+	10.2896i	0.187810	+	0.453412i
$516$	4.12842	+	4.88706i	0.181744	+	0.215141i
$517$	−20.6805	−	15.8687i	−0.909527	−	0.697905i
$518$	15.3953	+	26.6655i	0.676432	+	1.17161i
$519$	−31.2975	+	1.47047i	−1.37381	+	0.0645465i
$520$	6.04371	+	1.50845i	0.265034	+	0.0661500i
$521$	0.606646	+	1.46457i	0.0265777	+	0.0641641i	0.936611	−	0.350371i	$-0.113944\pi$
$521$	0.606646	+	1.46457i	0.0265777	+	0.0641641i	−0.910034	+	0.414535i	$0.863944\pi$
$522$	−30.7333	−	19.2940i	−1.34516	−	0.844474i
$523$	21.2417	−	12.2639i	0.928836	−	0.536264i	0.0423928	−	0.999101i	$-0.486502\pi$
$523$	21.2417	−	12.2639i	0.928836	−	0.536264i	0.886443	+	0.462837i	$0.153169\pi$
$524$	9.30454	−	7.13962i	0.406471	−	0.311896i
$525$	−17.5188	−	15.9464i	−0.764581	−	0.695960i
$526$	−9.64597	−	35.9993i	−0.420584	−	1.56964i
$527$	−3.33854	+	8.32637i	−0.145429	+	0.362702i
$528$	−1.45429	−	30.9530i	−0.0632897	−	1.34706i
$529$	16.3873	+	61.1582i	0.712490	+	2.65905i
$530$	0.775830	+	5.89302i	0.0336999	+	0.255976i
$531$	−2.11858	−	0.359093i	−0.0919386	−	0.0155833i
$532$	13.5822	+	5.62594i	0.588864	+	0.243915i
$533$	11.6759	+	6.47585i	0.505741	+	0.280500i
$534$	−30.4803	−	10.9796i	−1.31901	−	0.475134i
$535$	−5.76290	−	9.98164i	−0.249152	−	0.431544i
$536$	18.3261	+	4.91046i	0.791566	+	0.212099i
$537$	−10.1175	+	8.54690i	−0.436602	+	0.368826i
$538$	−2.71962	+	6.56574i	−0.117251	+	0.283069i
$539$	1.69413	−	12.8682i	0.0729716	−	0.554274i
$540$	3.70624	+	1.49216i	0.159491	+	0.0642123i
$541$	−4.24100	−	10.2387i	−0.182335	−	0.440195i	0.806112	−	0.591763i	$-0.201568\pi$
$541$	−4.24100	−	10.2387i	−0.182335	−	0.440195i	−0.988447	+	0.151568i	$0.951568\pi$
$542$	48.8612	−	13.0923i	2.09877	−	0.562364i
$543$	0.960041	−	4.39945i	0.0411993	−	0.188799i
$544$	5.07344	+	18.1086i	0.217522	+	0.776398i
$545$	1.36180			0.0583332
$546$	34.3220	+	2.29422i	1.46885	+	0.0981833i
$547$	10.5507	+	4.37024i	0.451115	+	0.186858i	0.596661	−	0.802494i	$-0.296494\pi$
$547$	10.5507	+	4.37024i	0.451115	+	0.186858i	−0.145546	+	0.989352i	$0.546494\pi$
$548$	−7.21952	−	1.93446i	−0.308402	−	0.0826362i
$549$	4.68245	+	20.4775i	0.199842	+	0.873960i
$550$	−25.2828	−	3.32854i	−1.07806	−	0.141929i
$551$	−14.3862	+	34.7313i	−0.612872	+	1.47960i
$552$	−9.43516	−	29.5821i	−0.401587	−	1.25910i
$553$	42.2428	+	24.3889i	1.79634	+	1.03712i
$554$	−3.10233	−	1.28503i	−0.131805	−	0.0545955i
$555$	6.62226	−	5.59426i	0.281099	−	0.237463i
$556$	−0.751519	−	5.70835i	−0.0318715	−	0.242088i
$557$	4.14805	−	15.4807i	0.175758	−	0.655940i	−0.820663	−	0.571413i	$-0.806396\pi$
$557$	4.14805	−	15.4807i	0.175758	−	0.655940i	0.996421	−	0.0845267i	$-0.0269378\pi$
$558$	3.24874	−	10.5471i	0.137530	−	0.446494i
$559$	5.68703	−	14.4269i	0.240536	−	0.610193i
$560$		−	14.5260i		−	0.613835i
$561$	24.3517	−	8.07298i	1.02813	−	0.340842i
$562$	−19.2855	−	33.4035i	−0.813511	−	1.40904i
$563$	−1.23438	−	4.60675i	−0.0520227	−	0.194152i	0.935024	−	0.354584i	$-0.115378\pi$
$563$	−1.23438	−	4.60675i	−0.0520227	−	0.194152i	−0.987047	+	0.160433i	$0.948711\pi$
$564$	−10.1544	−	3.65781i	−0.427577	−	0.154022i
$565$	−11.2164	+	3.00543i	−0.471877	+	0.126439i
$566$	7.80808	+	1.02795i	0.328198	+	0.0432081i
$567$	−28.7064	−	5.96575i	−1.20556	−	0.250538i
$568$	−1.20324	−	0.158410i	−0.0504869	−	0.00664673i
$569$	1.66772	−	6.22401i	0.0699144	−	0.260924i	−0.922118	−	0.386910i	$-0.873543\pi$
$569$	1.66772	−	6.22401i	0.0699144	−	0.260924i	0.992032	+	0.125985i	$0.0402092\pi$
$570$	2.93759	−	13.4617i	0.123042	−	0.563848i
$571$	−14.9127	+	6.17703i	−0.624076	+	0.258501i	−0.672234	−	0.740339i	$-0.734665\pi$
$571$	−14.9127	+	6.17703i	−0.624076	+	0.258501i	0.0481577	+	0.998840i	$0.484665\pi$
$572$	9.53605	−	5.72663i	0.398722	−	0.239442i
$573$	6.30325	−	2.96474i	0.263322	−	0.123854i
$574$	5.27916	−	19.7021i	0.220348	−	0.822350i
$575$	−38.6715	+	5.09121i	−1.61272	+	0.212318i
$576$	2.34884	+	6.32259i	0.0978682	+	0.263441i
$577$	−23.8219	+	23.8219i	−0.991717	+	0.991717i	−0.999966	−	0.00824850i	$-0.997374\pi$
$577$	−23.8219	+	23.8219i	−0.991717	+	0.991717i	0.00824850	+	0.999966i	$0.497374\pi$
$578$	−24.5595	+	14.9338i	−1.02154	+	0.621163i
$579$	13.6001	−	26.3385i	0.565203	−	1.09459i
$580$	−5.50073			−0.228405
$581$	12.0873	+	15.7524i	0.501464	+	0.653521i
$582$	1.44574	−	6.62518i	0.0599277	−	0.274622i
$583$	−11.1903	−	8.58659i	−0.463453	−	0.355620i
$584$	−11.0545	+	4.57893i	−0.457439	+	0.189478i
$585$	−1.07380	−	9.62498i	−0.0443961	−	0.397944i
$586$	−13.2618	−	13.2618i	−0.547839	−	0.547839i
$587$	−25.7588	+	14.8718i	−1.06318	+	0.613826i	−0.926310	−	0.376763i	$-0.877037\pi$
$587$	−25.7588	+	14.8718i	−1.06318	+	0.613826i	−0.136868	+	0.990589i	$0.543704\pi$
$588$	−0.950741	−	5.28930i	−0.0392079	−	0.218127i
$589$	−11.3352	−	1.49231i	−0.467060	−	0.0614896i
$590$	−1.00178	+	0.414951i	−0.0412427	+	0.0170833i
$591$	2.41344	+	1.24620i	0.0992755	+	0.0512619i
$592$	−27.6003	−	3.63365i	−1.13437	−	0.149342i
$593$			8.60348i			0.353303i	0.984274	+	0.176651i	$0.0565265\pi$
$593$			8.60348i			0.353303i	−0.984274	+	0.176651i	$0.943474\pi$
$594$	−29.0375	+	12.3676i	−1.19142	+	0.507448i
$595$	11.5805	−	3.24448i	0.474754	−	0.133011i
$596$	−11.3889	−	3.05166i	−0.466509	−	0.125001i
$597$	−26.1304	+	1.22770i	−1.06945	+	0.0502465i
$598$	39.3540	−	40.7321i	1.60930	−	1.66566i
$599$	−19.0909			−0.780034			−0.390017	−	0.920808i	$-0.627531\pi$
$599$	−19.0909			−0.780034			−0.390017	+	0.920808i	$0.627531\pi$
$600$	13.8101	−	2.48233i	0.563793	−	0.101341i
$601$	−11.4546	−	8.78941i	−0.467242	−	0.358527i	0.348148	−	0.937440i	$-0.386811\pi$
$601$	−11.4546	−	8.78941i	−0.467242	−	0.358527i	−0.815390	+	0.578912i	$0.803477\pi$
$602$	−23.4878	−	3.09223i	−0.957292	−	0.126030i
$603$	−2.76570	−	29.3676i	−0.112628	−	1.19594i
$604$	6.58418	−	11.4041i	0.267906	−	0.464028i
$605$	−1.35353	+	1.03860i	−0.0550289	+	0.0422251i
$606$	−33.3489	+	15.6857i	−1.35471	+	0.637188i
$607$	−10.4475	−	13.6155i	−0.424053	−	0.552636i	0.531652	−	0.846963i	$-0.321571\pi$
$607$	−10.4475	−	13.6155i	−0.424053	−	0.552636i	−0.955705	+	0.294326i	$0.904905\pi$
$608$	−20.7566	+	11.9838i	−0.841792	+	0.486009i
$609$	39.7303	−	7.14144i	1.60995	−	0.289386i
$610$	7.49534	+	7.49534i	0.303478	+	0.303478i
$611$	3.86066	+	25.8760i	0.156186	+	1.04683i
$612$	8.59035	−	6.24840i	0.347244	−	0.252576i
$613$	8.62404	+	2.31081i	0.348322	+	0.0933325i	0.428738	−	0.903429i	$-0.358958\pi$
$613$	8.62404	+	2.31081i	0.348322	+	0.0933325i	−0.0804163	+	0.996761i	$0.525625\pi$
$614$	9.73386	−	36.3273i	0.392827	−	1.46605i
$615$	−5.72245	−	0.481535i	−0.230751	−	0.0194173i
$616$	15.9681	+	15.9681i	0.643371	+	0.643371i
$617$	2.16448	−	16.4408i	0.0871386	−	0.661883i	−0.891011	−	0.453981i	$-0.850003\pi$
$617$	2.16448	−	16.4408i	0.0871386	−	0.661883i	0.978150	−	0.207902i	$-0.0666634\pi$
$618$	−36.3000	−	3.05459i	−1.46020	−	0.122874i
$619$	−10.9008	+	26.3168i	−0.438139	+	1.05776i	0.538452	+	0.842656i	$0.319009\pi$
$619$	−10.9008	+	26.3168i	−0.438139	+	1.05776i	−0.976591	+	0.215105i	$0.930991\pi$
$620$	−0.432985	−	1.61592i	−0.0173891	−	0.0648970i
$621$	−38.0053	+	29.7678i	−1.52510	+	1.19454i
$622$	−10.9603	+	1.44295i	−0.439469	+	0.0578571i
$623$	33.2962	−	13.7917i	1.33398	−	0.552554i
$624$	−20.5362	+	23.3560i	−0.822106	+	0.934987i
$625$		−	13.6179i		−	0.544714i
$626$	−10.4152	+	13.5734i	−0.416277	+	0.542502i
$627$	17.6593	+	27.5178i	0.705246	+	1.09896i
$628$	−15.0389	−	8.68273i	−0.600119	−	0.346479i
$629$	−3.26789	−	22.8153i	−0.130299	−	0.909704i
$630$	−13.8691	+	5.15237i	−0.552559	+	0.205275i
$631$	5.03947	−	8.72862i	0.200618	−	0.347481i	−0.748110	−	0.663575i	$-0.769038\pi$
$631$	5.03947	−	8.72862i	0.200618	−	0.347481i	0.948728	+	0.316094i	$0.102372\pi$
$632$	−26.6919	+	11.0562i	−1.06175	+	0.439790i
$633$	27.8153	−	8.87163i	1.10556	−	0.352616i
$634$	2.07256	+	15.7427i	0.0823120	+	0.625222i
$635$	−7.08692	+	0.933011i	−0.281236	+	0.0370254i
$636$	−5.49457	−	1.97925i	−0.217874	−	0.0784824i
$637$	−10.1968	+	8.10679i	−0.404012	+	0.321203i
$638$	30.7263	−	30.7263i	1.21647	−	1.21647i
$639$	0.420603	+	1.83940i	0.0166388	+	0.0727657i
$640$	9.17995	+	7.04403i	0.362870	+	0.278440i
$641$	25.5702	+	33.3237i	1.00996	+	1.31621i	0.948048	+	0.318127i	$0.103054\pi$
$641$	25.5702	+	33.3237i	1.00996	+	1.31621i	0.0619142	+	0.998081i	$0.480279\pi$
$642$	37.6574	−	1.76928i	1.48622	−	0.0698280i
$643$	−4.29916	+	32.6554i	−0.169542	+	1.28780i	0.669122	+	0.743153i	$0.266670\pi$
$643$	−4.29916	+	32.6554i	−0.169542	+	1.28780i	−0.838664	+	0.544649i	$0.816663\pi$
$644$	−22.5099	−	12.9961i	−0.887013	−	0.512117i
$645$	0.313031	+	6.66255i	0.0123256	+	0.262338i
$646$	−26.1961	−	25.6074i	−1.03067	−	1.00751i
$647$	8.21027	+	14.2206i	0.322779	+	0.559069i	0.981060	−	0.193702i	$-0.0620496\pi$
$647$	8.21027	+	14.2206i	0.322779	+	0.559069i	−0.658281	+	0.752772i	$0.728716\pi$
$648$	13.1540	−	11.3382i	0.516739	−	0.445407i
$649$	0.984695	−	2.37726i	0.0386527	−	0.0933158i
$650$	15.9278	+	20.0341i	0.624738	+	0.785802i
$651$	5.22524	+	11.1092i	0.204793	+	0.435405i
$652$	12.2663	−	1.61489i	0.480385	−	0.0632439i
$653$	−25.5364	−	19.5948i	−0.999318	−	0.766804i	−0.0268022	−	0.999641i	$-0.508532\pi$
$653$	−25.5364	−	19.5948i	−0.999318	−	0.766804i	−0.972516	+	0.232837i	$0.925199\pi$
$654$	−2.04362	+	3.95774i	−0.0799118	+	0.154760i
$655$	12.2276			0.477773
$656$	11.2264	+	14.6306i	0.438319	+	0.571228i
$657$	12.6587	+	13.6320i	0.493864	+	0.531834i
$658$	36.9259	−	15.2952i	1.43952	−	0.596269i
$659$	−2.48858	+	4.31034i	−0.0969412	+	0.167907i	−0.910417	−	0.413692i	$-0.864239\pi$
$659$	−2.48858	+	4.31034i	−0.0969412	+	0.167907i	0.813476	+	0.581599i	$0.197573\pi$
$660$	−2.73116	+	3.92817i	−0.106310	+	0.152904i
$661$	5.00898	+	8.67581i	0.194827	+	0.337450i	0.946844	−	0.321694i	$-0.104252\pi$
$661$	5.00898	+	8.67581i	0.194827	+	0.337450i	−0.752017	+	0.659144i	$0.770919\pi$
$662$	29.8522			1.16024
$663$	−23.2069	−	11.1553i	−0.901281	−	0.433235i
$664$	−11.7605			−0.456394
$665$	7.66371	+	13.2739i	0.297186	+	0.514741i
$666$	6.32049	+	27.6411i	0.244914	+	1.07107i
$667$	33.2325	−	57.5603i	1.28677	−	2.22874i
$668$	14.9239	−	6.18168i	0.577423	−	0.239176i
$669$	17.6990	+	1.48934i	0.684282	+	0.0575812i
$670$	−9.06138	−	11.8090i	−0.350072	−	0.456222i
$671$	−25.1542			−0.971068
$672$	22.8677	+	11.8080i	0.882141	+	0.455502i
$673$	−13.9040	−	10.6689i	−0.535959	−	0.411256i	0.305002	−	0.952352i	$-0.401343\pi$
$673$	−13.9040	−	10.6689i	−0.535959	−	0.411256i	−0.840961	+	0.541096i	$0.818010\pi$
$674$	−0.192735	+	0.0253740i	−0.00742386	+	0.000977369i
$675$	−11.0950	−	18.7831i	−0.427048	−	0.722963i
$676$	−10.8767	−	2.51675i	−0.418334	−	0.0967981i
$677$	15.6063	−	37.6769i	0.599799	−	1.44804i	−0.273988	−	0.961733i	$-0.588343\pi$
$677$	15.6063	−	37.6769i	0.599799	−	1.44804i	0.873787	−	0.486309i	$-0.161657\pi$
$678$	8.09761	−	37.1078i	0.310987	−	1.42512i
$679$	3.77170	+	6.53277i	0.144744	+	0.250705i
$680$	−2.65098	+	6.61159i	−0.101661	+	0.253543i
$681$	−22.2805	+	1.04682i	−0.853789	+	0.0401141i
$682$	11.4449	+	6.60772i	0.438248	+	0.253023i
$683$	0.407236	−	3.09327i	0.0155825	−	0.118361i	−0.981886	−	0.189474i	$-0.939322\pi$
$683$	0.407236	−	3.09327i	0.0155825	−	0.118361i	0.997468	+	0.0711132i	$0.0226552\pi$
$684$	10.4283	+	8.63317i	0.398735	+	0.330097i
$685$	−4.74379	−	6.18222i	−0.181251	−	0.236211i
$686$	−14.8011	−	11.3573i	−0.565110	−	0.433625i
$687$	26.0615	−	37.4836i	0.994307	−	1.43009i
$688$	15.1456	−	15.1456i	0.577419	−	0.577419i
$689$	2.08901	+	14.0016i	0.0795850	+	0.533418i
$690$	−8.25587	+	22.9190i	−0.314296	+	0.872511i
$691$	27.0839	−	3.56566i	1.03032	−	0.135644i	0.403637	−	0.914919i	$-0.367746\pi$
$691$	27.0839	−	3.56566i	1.03032	−	0.135644i	0.626682	+	0.779275i	$0.284413\pi$
$692$	−2.02770	−	15.4019i	−0.0770818	−	0.585494i
$693$	14.6266	−	31.9179i	0.555620	−	1.21246i
$694$	13.4504	−	5.57132i	0.510569	−	0.211484i
$695$	3.00142	−	5.19860i	0.113850	−	0.197194i
$696$	−10.9698	+	21.2444i	−0.415808	+	0.805269i
$697$	−9.15636	+	12.2178i	−0.346822	+	0.462784i
$698$	−26.4812	−	15.2889i	−1.00233	−	0.578694i
$699$	27.5202	−	17.6609i	1.04091	−	0.667995i
$700$	7.15028	−	9.31843i	0.270255	−	0.352203i
$701$		−	32.8626i		−	1.24120i	−0.784125	−	0.620602i	$-0.786888\pi$
$701$		−	32.8626i		−	1.24120i	0.784125	−	0.620602i	$-0.213112\pi$
$702$	29.5840	+	11.3232i	1.11658	+	0.427367i
$703$	27.1384	−	11.2411i	1.02354	−	0.423966i
$704$	−8.00762	+	1.05422i	−0.301798	+	0.0397325i
$705$	−6.07756	−	9.47042i	−0.228894	−	0.356676i
$706$	−0.347829	−	1.29812i	−0.0130907	−	0.0488553i
$707$	15.6887	−	37.8760i	0.590036	−	1.42447i
$708$	0.0893363	−	1.06165i	0.00335746	−	0.0398993i
$709$	−3.36787	+	25.5815i	−0.126483	+	0.960735i	0.804059	+	0.594550i	$0.202670\pi$
$709$	−3.36787	+	25.5815i	−0.126483	+	0.960735i	−0.930542	+	0.366185i	$0.880664\pi$
$710$	0.673273	+	0.673273i	0.0252675	+	0.0252675i
$711$	30.5654	+	32.9154i	1.14629	+	1.23442i
$712$	−5.52483	+	20.6189i	−0.207052	+	0.772727i
$713$	19.5251	+	5.23173i	0.731220	+	0.195930i
$714$	−7.94922	+	38.5247i	−0.297492	+	1.44175i
$715$	11.5223	+	1.31569i	0.430910	+	0.0492039i
$716$	−4.64338	−	4.64338i	−0.173531	−	0.173531i
$717$	1.69319	+	9.41981i	0.0632334	+	0.351789i
$718$	−10.1469	+	5.85830i	−0.378678	+	0.218630i
$719$	23.0255	+	30.0074i	0.858705	+	1.11909i	0.991777	+	0.127980i	$0.0408493\pi$
$719$	23.0255	+	30.0074i	0.858705	+	1.11909i	−0.133072	+	0.991106i	$0.542484\pi$
$720$	3.93775	−	12.7840i	0.146751	−	0.476430i
$721$	32.1494	−	24.6691i	1.19731	−	0.918727i
$722$	7.28150	−	12.6119i	0.270989	−	0.469367i
$723$	35.0745	+	31.9266i	1.30444	+	1.18736i
$724$	2.21354	+	0.291418i	0.0822656	+	0.0108305i
$725$	23.8283	+	18.2841i	0.884961	+	0.679054i
$726$	−0.987230	−	5.49230i	−0.0366395	−	0.203838i
$727$	−16.6580			−0.617812			−0.308906	−	0.951093i	$-0.599963\pi$
$727$	−16.6580			−0.617812			−0.308906	+	0.951093i	$0.599963\pi$
$728$	−0.389950	−	22.6614i	−0.0144525	−	0.839888i
$729$	−23.6466	−	13.0322i	−0.875801	−	0.482672i
$730$	9.06756	+	2.42964i	0.335605	+	0.0899252i
$731$	15.4573	+	8.69156i	0.571709	+	0.321469i
$732$	−9.92262	+	3.16480i	−0.366751	+	0.116974i
$733$		−	18.2121i		−	0.672679i	−0.941741	−	0.336339i	$-0.890811\pi$
$733$		−	18.2121i		−	0.672679i	0.941741	−	0.336339i	$-0.109189\pi$
$734$	−7.83464	−	1.03145i	−0.289182	−	0.0380715i
$735$	2.57066	−	4.97843i	0.0948202	−	0.183632i
$736$	39.1497	−	16.2163i	1.44308	−	0.597742i
$737$	35.0203	+	4.61051i	1.28999	+	0.169830i
$738$	9.98697	−	15.9082i	0.367626	−	0.585591i
$739$	23.0888	−	13.3303i	0.849337	−	0.490365i	−0.0110903	−	0.999939i	$-0.503530\pi$
$739$	23.0888	−	13.3303i	0.849337	−	0.490365i	0.860427	+	0.509574i	$0.170197\pi$
$740$	3.03926	+	3.03926i	0.111726	+	0.111726i
$741$	6.44382	−	32.1775i	0.236720	−	1.18207i
$742$	19.9807	−	8.27626i	0.733513	−	0.303831i
$743$	26.0857	+	20.0163i	0.956993	+	0.734327i	0.964070	−	0.265648i	$-0.0855860\pi$
$743$	26.0857	+	20.0163i	0.956993	+	0.734327i	−0.00707689	+	0.999975i	$0.502253\pi$
$744$	−7.10435	−	1.55030i	−0.260458	−	0.0568367i
$745$	−7.48342	−	9.75259i	−0.274171	−	0.357307i
$746$	−46.4680			−1.70131
$747$	6.36749	+	17.1400i	0.232974	+	0.627120i
$748$	5.00102	+	11.6958i	0.182856	+	0.427640i
$749$	−29.6539	+	29.6539i	−1.08353	+	1.08353i
$750$	−21.4303	−	11.0658i	−0.782525	−	0.404065i
$751$	−42.5235	+	5.59832i	−1.55170	+	0.204286i	−0.857116	−	0.515123i	$-0.827746\pi$
$751$	−42.5235	+	5.59832i	−1.55170	+	0.204286i	−0.694587	+	0.719409i	$0.744413\pi$
$752$	−9.35271	+	34.9048i	−0.341058	+	1.27285i
$753$	10.6349	+	22.6105i	0.387556	+	0.823972i
$754$	−43.6059	+	0.750356i	−1.58803	+	0.0273263i
$755$	12.6841	−	5.25394i	0.461623	−	0.191210i
$756$	1.75401	−	14.4310i	0.0637929	−	0.524849i
$757$	9.23544	−	34.4671i	0.335668	−	1.25273i	−0.567475	−	0.823390i	$-0.692080\pi$
$757$	9.23544	−	34.4671i	0.335668	−	1.25273i	0.903143	−	0.429339i	$-0.141253\pi$
$758$	−7.19255	−	0.946918i	−0.261245	−	0.0343936i
$759$	−24.6046	−	52.3111i	−0.893089	−	1.89877i
$760$	−9.00079	−	1.18498i	−0.326493	−	0.0429836i
$761$	−11.5477	+	3.09420i	−0.418604	+	0.112165i	−0.461972	−	0.886895i	$-0.652858\pi$
$761$	−11.5477	+	3.09420i	−0.418604	+	0.112165i	0.0433678	+	0.999059i	$0.486191\pi$
$762$	7.92357	−	21.9965i	0.287041	−	0.796849i
$763$	−1.28244	−	4.78611i	−0.0464273	−	0.173269i
$764$	1.72684	+	2.99098i	0.0624749	+	0.108210i
$765$	11.0712	+	0.283888i	0.400281	+	0.0102640i
$766$		−	24.0212i		−	0.867921i
$767$	−2.36859	+	1.02920i	−0.0855250	+	0.0371622i
$768$	−27.2002	+	12.7937i	−0.981504	+	0.461651i
$769$	3.92565	−	14.6507i	0.141563	−	0.528319i	−0.858322	−	0.513112i	$-0.828493\pi$
$769$	3.92565	−	14.6507i	0.141563	−	0.528319i	0.999884	−	0.0152072i	$-0.00484080\pi$
$770$	−2.31252	−	17.5654i	−0.0833376	−	0.633012i
$771$	−1.22281	−	1.44751i	−0.0440383	−	0.0521307i
$772$	13.5784	+	5.62437i	0.488699	+	0.202426i
$773$	17.6782	+	10.2065i	0.635839	+	0.367102i	0.783010	−	0.622009i	$-0.213683\pi$
$773$	17.6782	+	10.2065i	0.635839	+	0.367102i	−0.147171	+	0.989111i	$0.547017\pi$
$774$	−19.8328	−	9.08856i	−0.712876	−	0.326681i
$775$	−3.49560	+	8.43913i	−0.125566	+	0.303143i
$776$	−4.42974	−	0.583187i	−0.159019	−	0.0209352i
$777$	−25.8976	−	18.0060i	−0.929070	−	0.645962i
$778$	−18.6424	−	4.99520i	−0.668361	−	0.179087i
$779$	−17.9777	−	7.44660i	−0.644117	−	0.266802i
$780$	4.71075	−	0.930688i	0.168672	−	0.0333240i
$781$	−2.25949			−0.0808509
$782$	40.0096	+	50.9323i	1.43074	+	1.82134i
$783$	36.9016	+	4.48522i	1.31876	+	0.160289i
$784$	−17.3796	+	4.65686i	−0.620702	+	0.166316i
$785$	−6.92851	−	16.7269i	−0.247289	−	0.597008i
$786$	−18.3496	+	35.5365i	−0.654510	+	1.26755i
$787$	1.77997	−	13.5202i	0.0634492	−	0.481945i	−0.929990	−	0.367584i	$-0.880185\pi$
$787$	1.77997	−	13.5202i	0.0634492	−	0.481945i	0.993439	−	0.114360i	$-0.0364818\pi$
$788$	−0.515369	+	1.24421i	−0.0183593	+	0.0443232i
$789$	24.6376	+	29.1650i	0.877122	+	1.03830i
$790$	21.8943	+	5.86655i	0.778963	+	0.208722i
$791$	21.1254	+	36.5903i	0.751133	+	1.30100i
$792$	9.72442	+	18.3818i	0.345542	+	0.653168i
$793$	18.1562	+	17.5419i	0.644746	+	0.622933i
$794$	−3.72590	−	1.54332i	−0.132227	−	0.0547703i
$795$	−3.28858	−	5.12446i	−0.116634	−	0.181746i
$796$	−1.69294	−	12.8592i	−0.0600047	−	0.455781i
$797$	−10.8796	−	40.6031i	−0.385374	−	1.43824i	−0.837576	−	0.546321i	$-0.816028\pi$
$797$	−10.8796	−	40.6031i	−0.385374	−	1.43824i	0.452202	−	0.891916i	$-0.350639\pi$
$798$	−50.0781	+	2.35285i	−1.77275	+	0.0832901i
$799$	−29.9160	+	0.340014i	−1.05835	+	0.0120288i
$800$	4.95613	+	18.4965i	0.175226	+	0.653952i
$801$	33.0419	−	3.11173i	1.16748	−	0.109948i
$802$	−28.9419	+	22.2079i	−1.02198	+	0.784189i
$803$	−19.2922	+	11.1383i	−0.680806	+	0.393064i
$804$	14.3946	−	2.58740i	0.507658	−	0.0912505i
$805$	−10.3704	−	25.0364i	−0.365509	−	0.882416i
$806$	−3.65283	−	12.7508i	−0.128665	−	0.449129i
$807$	−0.341670	−	7.27210i	−0.0120274	−	0.255990i
$808$	12.1412	+	21.0292i	0.427126	+	0.739803i
$809$	−27.8736	−	21.3882i	−0.979983	−	0.751968i	−0.0112153	−	0.999937i	$-0.503570\pi$
$809$	−27.8736	−	21.3882i	−0.979983	−	0.751968i	−0.968768	+	0.247970i	$0.920237\pi$
$810$	−13.6026	+	0.774781i	−0.477947	+	0.0272230i
$811$	−6.56583	−	15.8513i	−0.230557	−	0.556615i	0.765686	−	0.643215i	$-0.222400\pi$
$811$	−6.56583	−	15.8513i	−0.230557	−	0.556615i	−0.996243	+	0.0865999i	$0.972400\pi$
$812$	5.18014	+	19.3326i	0.181787	+	0.678440i
$813$	−39.5852	+	33.4402i	−1.38831	+	1.17280i
$814$	−33.9538			−1.19008
$815$	11.1709	+	6.44953i	0.391300	+	0.225917i
$816$	−23.2580	−	26.9056i	−0.814195	−	0.941885i
$817$	−5.84952	+	21.8307i	−0.204649	+	0.763759i
$818$	27.6169	−	27.6169i	0.965603	−	0.965603i
$819$	−32.8162	+	12.8379i	−1.14669	+	0.448594i
$820$		−	2.84730i		−	0.0994319i
$821$	20.1064	+	15.4282i	0.701718	+	0.538447i	0.896853	−	0.442329i	$-0.145848\pi$
$821$	20.1064	+	15.4282i	0.701718	+	0.538447i	−0.195135	+	0.980776i	$0.562514\pi$
$822$	25.0860	−	4.50915i	0.874973	−	0.157275i
$823$	−4.26505	+	32.3963i	−0.148670	+	1.12926i	0.740621	+	0.671923i	$0.234531\pi$
$823$	−4.26505	+	32.3963i	−0.148670	+	1.12926i	−0.889292	+	0.457341i	$0.848802\pi$
$824$			24.0021i			0.836154i
$825$	24.8880	−	7.93797i	0.866487	−	0.276365i
$826$	2.40176	+	3.13004i	0.0835680	+	0.108908i
$827$	−3.34470	+	8.07482i	−0.116307	+	0.280789i	−0.971303	−	0.237845i	$-0.923559\pi$
$827$	−3.34470	+	8.07482i	−0.116307	+	0.280789i	0.854997	+	0.518634i	$0.173559\pi$
$828$	−16.2874	−	17.5396i	−0.566025	−	0.609543i
$829$	−4.90201	−	8.49054i	−0.170254	−	0.294889i	0.768255	−	0.640144i	$-0.221125\pi$
$829$	−4.90201	−	8.49054i	−0.170254	−	0.294889i	−0.938509	+	0.345256i	$0.887792\pi$
$830$	7.32002	+	5.61685i	0.254082	+	0.194964i
$831$	3.43608	−	0.161440i	0.119196	−	0.00560029i
$832$	6.51506	+	4.82338i	0.225869	+	0.167221i
$833$	−7.59444	−	12.8154i	−0.263132	−	0.444026i
$834$	10.6043	+	16.5243i	0.367197	+	0.572188i
$835$	16.2676	+	4.35890i	0.562964	+	0.150846i
$836$	−12.8615	+	9.86897i	−0.444824	+	0.341325i
$837$	1.58708	+	11.1935i	0.0548574	+	0.386902i
$838$	−16.5997	−	2.18540i	−0.573429	−	0.0754933i
$839$	−15.6384	−	20.3804i	−0.539898	−	0.703609i	0.441137	−	0.897440i	$-0.354575\pi$
$839$	−15.6384	−	20.3804i	−0.539898	−	0.703609i	−0.981035	+	0.193831i	$0.937909\pi$
$840$	4.14912	+	8.82134i	0.143158	+	0.304365i
$841$	−21.4237	+	5.74048i	−0.738750	+	0.197947i
$842$	6.75225	−	25.1998i	0.232698	−	0.868441i
$843$	32.4415	+	22.5559i	1.11735	+	0.776865i
$844$	5.53960	+	13.3738i	0.190681	+	0.460345i
$845$	−7.39922	−	8.98503i	−0.254541	−	0.309094i
$846$	36.6438	−	3.45094i	1.25984	−	0.118646i
$847$	4.92486	+	3.77898i	0.169220	+	0.129847i
$848$	−5.06077	+	18.8870i	−0.173788	+	0.648584i
$849$	−7.68615	+	2.45148i	−0.263788	+	0.0841347i
$850$	−25.1789	+	14.9211i	−0.863628	+	0.511790i
$851$	−50.1648	+	13.4416i	−1.71963	+	0.460773i
$852$	−0.891304	+	0.284280i	−0.0305356	+	0.00973926i
$853$	16.2227	+	39.1652i	0.555456	+	1.34099i	0.913330	+	0.407220i	$0.133502\pi$
$853$	16.2227	+	39.1652i	0.555456	+	1.34099i	−0.357874	+	0.933770i	$0.616498\pi$
$854$	19.2842	−	33.4012i	0.659892	−	1.14297i
$855$	3.14630	+	13.7596i	0.107601	+	0.470568i
$856$	−3.24218	−	24.6268i	−0.110815	−	0.841727i
$857$	−21.2616	−	51.3300i	−0.726281	−	1.75340i	−0.654606	−	0.755970i	$-0.727165\pi$
$857$	−21.2616	−	51.3300i	−0.726281	−	1.75340i	−0.0716757	−	0.997428i	$-0.522835\pi$
$858$	−21.1149	+	31.5123i	−0.720851	+	1.07581i
$859$	−3.49570	−	3.49570i	−0.119272	−	0.119272i	0.644952	−	0.764223i	$-0.276878\pi$
$859$	−3.49570	−	3.49570i	−0.119272	−	0.119272i	−0.764223	+	0.644952i	$0.776878\pi$
$860$	−3.27874	+	0.431654i	−0.111804	+	0.0147193i
$861$	3.69657	+	20.5653i	0.125979	+	0.700862i
$862$	−34.0659	+	26.1397i	−1.16029	+	0.890322i
$863$	−8.42585	+	8.42585i	−0.286819	+	0.286819i	−0.835821	−	0.549002i	$-0.815008\pi$
$863$	−8.42585	+	8.42585i	−0.286819	+	0.286819i	0.549002	+	0.835821i	$0.315008\pi$
$864$	16.9244	+	16.5910i	0.575779	+	0.564436i
$865$	8.09824	−	14.0266i	0.275348	−	0.476917i
$866$	−26.2214	+	26.2214i	−0.891040	+	0.891040i
$867$	16.2550	−	24.5515i	0.552049	−	0.833812i
$868$	−5.27148	+	3.04349i	−0.178926	+	0.103303i
$869$	−46.5824	+	26.8943i	−1.58020	+	0.912328i
$870$	16.9743	−	7.98390i	0.575484	−	0.270679i
$871$	−22.0623	−	27.7502i	−0.747552	−	0.940279i
$872$	2.71143	+	1.12311i	0.0918205	+	0.0380333i
$873$	1.54845	+	6.77178i	0.0524072	+	0.229190i
$874$	−50.2504	+	65.4876i	−1.69975	+	2.21515i
$875$	25.9158	−	6.94412i	0.876114	−	0.234754i
$876$	−6.20883	+	6.82102i	−0.209777	+	0.230461i
$877$	−23.4715	+	18.0103i	−0.792575	+	0.608164i	−0.923663	−	0.383207i	$-0.874820\pi$
$877$	−23.4715	+	18.0103i	−0.792575	+	0.608164i	0.131088	+	0.991371i	$0.458153\pi$
$878$	−27.8195	−	36.2551i	−0.938864	−	1.22355i
$879$	18.0757	+	6.51121i	0.609677	+	0.219618i
$880$	13.8722	+	8.00912i	0.467632	+	0.269987i
$881$	−2.69462	−	20.4676i	−0.0907839	−	0.689573i	−0.974954	−	0.222407i	$-0.928609\pi$
$881$	−2.69462	−	20.4676i	−0.0907839	−	0.689573i	0.884170	−	0.467165i	$-0.154725\pi$
$882$	10.6108	+	14.9420i	0.357286	+	0.503122i
$883$		−	45.1559i		−	1.51962i	−0.650148	−	0.759808i	$-0.725293\pi$
$883$		−	45.1559i		−	1.51962i	0.650148	−	0.759808i	$-0.274707\pi$
$884$	4.54663	−	11.9296i	0.152920	−	0.401235i
$885$	0.747713	−	0.821437i	0.0251341	−	0.0276123i
$886$	−29.9852	+	17.3120i	−1.00737	+	0.581606i
$887$	−32.6031	+	4.29228i	−1.09471	+	0.144121i	−0.656185	−	0.754600i	$-0.727831\pi$
$887$	−32.6031	+	4.29228i	−1.09471	+	0.144121i	−0.438521	+	0.898721i	$0.644497\pi$
$888$	17.7990	−	5.67696i	0.597295	−	0.190506i
$889$	9.95299	+	24.0287i	0.333813	+	0.805895i
$890$	13.2865	−	10.1951i	0.445365	−	0.341740i
$891$	21.5250	−	24.1251i	0.721113	−	0.808222i
$892$			8.80642i			0.294861i
$893$	−9.86872	−	36.8306i	−0.330244	−	1.23249i
$894$	39.5736	−	7.11328i	1.32354	−	0.237904i
$895$	−0.893637	−	6.78784i	−0.0298710	−	0.226893i
$896$	16.1116	−	38.8968i	0.538251	−	1.29945i
$897$	−18.7210	+	54.9166i	−0.625076	+	1.83361i
$898$	−20.5945	−	8.53053i	−0.687248	−	0.284668i
$899$	−7.78255	−	13.4798i	−0.259563	−	0.449576i
$900$	8.81886	−	6.26260i	0.293962	−	0.208753i
$901$	−16.1876	+	0.183982i	−0.539287	+	0.00612934i
$902$	15.9046	+	15.9046i	0.529565	+	0.529565i
$903$	23.1210	−	7.37442i	0.769420	−	0.245405i
$904$	−24.8111	−	3.26645i	−0.825206	−	0.108640i
$905$	1.64595	+	1.64595i	0.0547134	+	0.0547134i
$906$	−3.76544	+	44.7477i	−0.125099	+	1.48664i
$907$	0.546159	−	0.711768i	0.0181349	−	0.0236339i	−0.784198	−	0.620511i	$-0.786925\pi$
$907$	0.546159	−	0.711768i	0.0181349	−	0.0236339i	0.802333	+	0.596877i	$0.203592\pi$
$908$	−1.44351	−	10.9645i	−0.0479045	−	0.363871i
$909$	24.0748	−	29.0808i	0.798511	−	0.964548i
$910$	−10.5805	+	14.2913i	−0.350740	+	0.473752i
$911$	−9.83429	+	4.07350i	−0.325825	+	0.134961i	−0.539599	−	0.841922i	$-0.681424\pi$
$911$	−9.83429	+	4.07350i	−0.325825	+	0.134961i	0.213774	+	0.976883i	$0.431424\pi$
$912$	25.8750	−	37.2153i	0.856806	−	1.23232i
$913$	−21.7079	+	2.85790i	−0.718428	+	0.0945828i
$914$	−40.9945	−	23.6682i	−1.35598	−	0.782874i
$915$	−10.2161	−	3.68003i	−0.337733	−	0.121658i
$916$	19.6029	+	11.3178i	0.647699	+	0.373949i
$917$	−11.5150	−	42.9745i	−0.380258	−	1.41914i
$918$	−17.4393	+	31.7498i	−0.575584	+	1.04790i
$919$	−18.4550	+	31.9651i	−0.608775	+	1.05443i	0.382667	+	0.923886i	$0.375006\pi$
$919$	−18.4550	+	31.9651i	−0.608775	+	1.05443i	−0.991443	+	0.130544i	$0.958328\pi$
$920$	15.5040	+	4.15427i	0.511150	+	0.136962i
$921$	6.81583	+	37.9188i	0.224589	+	1.24947i
$922$	52.4738			1.72813
$923$	1.63089	+	1.57571i	0.0536814	+	0.0518652i
$924$	16.3777	+	5.89957i	0.538787	+	0.194082i
$925$	−3.06328	−	23.2679i	−0.100720	−	0.765045i
$926$	52.1747	+	13.9802i	1.71457	+	0.459417i
$927$	34.9814	−	12.9955i	1.14894	−	0.426829i
$928$	−30.1461	−	12.4869i	−0.989596	−	0.409904i
$929$	24.6596	−	18.9220i	0.809057	−	0.620811i	−0.119150	−	0.992876i	$-0.538017\pi$
$929$	24.6596	−	18.9220i	0.809057	−	0.620811i	0.928207	+	0.372065i	$0.121350\pi$
$930$	3.68151	+	4.35802i	0.120721	+	0.142905i
$931$	13.4247	−	13.4247i	0.439978	−	0.439978i
$932$	9.86981	+	12.8626i	0.323297	+	0.421328i
$933$	9.53089	−	6.11637i	0.312027	−	0.200241i
$934$	17.2066	−	64.2160i	0.563018	−	2.10121i
$935$	−3.28662	+	12.8482i	−0.107484	+	0.420180i
$936$	5.79995	−	20.0495i	0.189577	−	0.655337i
$937$	−40.0123	+	40.0123i	−1.30715	+	1.30715i	−0.383680	+	0.923466i	$0.625343\pi$
$937$	−40.0123	+	40.0123i	−1.30715	+	1.30715i	−0.923466	+	0.383680i	$0.874657\pi$
$938$	−32.9701	+	42.9674i	−1.07651	+	1.40294i
$939$	3.73665	−	17.1234i	0.121941	−	0.558803i
$940$	4.42635	−	3.39646i	0.144372	−	0.110780i
$941$	16.0482	+	6.64739i	0.523157	+	0.216699i	0.628603	−	0.777726i	$-0.283627\pi$
$941$	16.0482	+	6.64739i	0.523157	+	0.216699i	−0.105446	+	0.994425i	$0.533627\pi$
$942$	59.0100	+	4.96559i	1.92265	+	0.161788i
$943$	29.7945	+	17.2018i	0.970241	+	0.560169i
$944$	−3.56705			−0.116097
$945$	10.6100	−	10.8232i	0.345143	−	0.352079i
$946$	15.9034	−	20.7257i	0.517065	−	0.673852i
$947$	9.73042	−	12.6809i	0.316196	−	0.412075i	−0.608034	−	0.793911i	$-0.708041\pi$
$947$	9.73042	−	12.6809i	0.316196	−	0.412075i	0.924230	+	0.381836i	$0.124708\pi$
$948$	−14.9917	+	16.4698i	−0.486907	+	0.534916i
$949$	21.6926	+	5.41428i	0.704173	+	0.175755i
$950$	−26.3761	−	26.3761i	−0.855755	−	0.855755i
$951$	−8.78516	−	13.6895i	−0.284878	−	0.443914i
$952$	25.7332	+	3.09074i	0.834018	+	0.100172i
$953$	9.69116	−	16.7856i	0.313927	−	0.543738i	−0.665281	−	0.746593i	$-0.731688\pi$
$953$	9.69116	−	16.7856i	0.313927	−	0.543738i	0.979209	+	0.202854i	$0.0650218\pi$
$954$	19.8281	−	1.86731i	0.641957	−	0.0604564i
$955$	−0.469995	+	3.56997i	−0.0152087	+	0.115521i
$956$	−4.58363	+	1.22818i	−0.148245	+	0.0397222i
$957$	−15.0859	+	41.8797i	−0.487657	+	1.35378i
$958$	−1.15713	+	8.78924i	−0.0373850	+	0.283967i
$959$	−17.2604	+	22.4942i	−0.557367	+	0.726375i
$960$	−3.40643	−	0.743345i	−0.109942	−	0.0239914i
$961$	−18.5730	+	18.5730i	−0.599130	+	0.599130i
$962$	24.5077	+	23.6785i	0.790161	+	0.763427i
$963$	−34.1364	+	18.0590i	−1.10003	+	0.581943i
$964$	−14.3157	+	18.6565i	−0.461077	+	0.600887i
$965$	7.66157	+	13.2702i	0.246635	+	0.427184i
$966$	88.3245	+	7.43236i	2.84179	+	0.239132i
$967$			8.38803i			0.269741i	0.990863	+	0.134870i	$0.0430618\pi$
$967$			8.38803i			0.269741i	−0.990863	+	0.134870i	$0.956938\pi$
$968$	−3.55152	+	0.951626i	−0.114150	+	0.0305864i
$969$	35.4484	+	12.3159i	1.13877	+	0.395643i
$970$	2.47866	+	2.47866i	0.0795849	+	0.0795849i
$971$	−18.6974	+	5.00995i	−0.600027	+	0.160777i	−0.546032	−	0.837764i	$-0.683862\pi$
$971$	−18.6974	+	5.00995i	−0.600027	+	0.160777i	−0.0539954	+	0.998541i	$0.517196\pi$
$972$	5.45566	−	12.2248i	0.174990	−	0.392112i
$973$	−21.0972	−	5.65298i	−0.676345	−	0.181226i
$974$	14.8662	−	35.8901i	0.476342	−	1.14999i
$975$	−23.4998	−	11.6267i	−0.752595	−	0.372351i
$976$	13.3443	+	32.2161i	0.427142	+	1.03121i
$977$	6.95128	−	4.01332i	0.222391	−	0.128398i	−0.384666	−	0.923056i	$-0.625683\pi$
$977$	6.95128	−	4.01332i	0.222391	−	0.128398i	0.607057	+	0.794658i	$0.292350\pi$
$978$	−35.5078	+	22.7869i	−1.13542	+	0.728644i
$979$	−5.18736	+	39.4019i	−0.165789	+	1.25929i
$980$	2.56656	+	1.06310i	0.0819856	+	0.0339596i
$981$	0.168796	−	4.55979i	0.00538924	−	0.145583i
$982$	10.0285	+	37.4268i	0.320022	+	1.19434i
$983$	35.0452	−	14.5162i	1.11777	−	0.462995i	0.254162	−	0.967162i	$-0.418200\pi$
$983$	35.0452	−	14.5162i	1.11777	−	0.462995i	0.863606	+	0.504167i	$0.168200\pi$
$984$	−10.9966	−	5.67820i	−0.350558	−	0.181014i
$985$	−1.21597	+	0.702041i	−0.0387441	+	0.0223689i
$986$	5.94732	−	49.5168i	0.189401	−	1.57694i
$987$	−27.5608	+	30.2783i	−0.877271	+	0.963770i
$988$	16.1658	+	1.84590i	0.514301	+	0.0587261i
$989$	15.2915	−	36.9170i	0.486241	−	1.17389i
$990$	2.72648	−	16.0857i	0.0866533	−	0.511238i
$991$	−43.5188	+	5.72936i	−1.38242	+	0.181999i	−0.784785	−	0.619768i	$-0.787227\pi$
$991$	−43.5188	+	5.72936i	−1.38242	+	0.181999i	−0.597636	+	0.801767i	$0.703893\pi$
$992$	1.29530	−	9.83878i	0.0411258	−	0.312382i
$993$	−27.6725	+	13.0158i	−0.878159	+	0.413043i
$994$	1.73221	−	3.00028i	0.0549424	−	0.0951631i
$995$	6.76126	−	11.7109i	0.214346	−	0.371259i
$996$	−8.20359	+	3.85857i	−0.259941	+	0.122263i
$997$	1.61288	−	12.2511i	0.0510806	−	0.387995i	−0.946739	−	0.322001i	$-0.895645\pi$
$997$	1.61288	−	12.2511i	0.0510806	−	0.387995i	0.997820	−	0.0659946i	$-0.0210220\pi$
$998$	60.4318	−	7.95599i	1.91293	−	0.251843i
$999$	−17.9107	−	22.8671i	−0.566670	−	0.723481i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	663.2.cf.a.587.18	yes	640
3.2	odd	2	inner	663.2.cf.a.587.63	yes	640
13.7	odd	12		663.2.ck.a.332.18	yes	640
17.2	even	8		663.2.ck.a.2.63	yes	640
39.20	even	12		663.2.ck.a.332.63	yes	640
51.2	odd	8		663.2.ck.a.2.18	yes	640
221.189	odd	24	inner	663.2.cf.a.410.63	yes	640
663.410	even	24	inner	663.2.cf.a.410.18	✓	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
663.2.cf.a.410.18	✓	640	663.410	even	24	inner
663.2.cf.a.410.63	yes	640	221.189	odd	24	inner
663.2.cf.a.587.18	yes	640	1.1	even	1	trivial
663.2.cf.a.587.63	yes	640	3.2	odd	2	inner
663.2.ck.a.2.18	yes	640	51.2	odd	8
663.2.ck.a.2.63	yes	640	17.2	even	8
663.2.ck.a.332.18	yes	640	13.7	odd	12
663.2.ck.a.332.63	yes	640	39.20	even	12

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:	\( N \)	\(=\)	\( 663 = 3 \cdot 13 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	663.cf (of order \(24\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.845396 - 1.46427i) q^{2} +(1.42210 + 0.988753i) q^{3} +(-0.429387 + 0.743721i) q^{4} +(-0.827196 + 0.342636i) q^{5} +(0.245564 - 2.91822i) q^{6} +(1.98319 + 2.58455i) q^{7} -1.92957 q^{8} +(1.04473 + 2.81221i) q^{9} +O(q^{10})\)	\(q+(-0.845396 - 1.46427i) q^{2} +(1.42210 + 0.988753i) q^{3} +(-0.429387 + 0.743721i) q^{4} +(-0.827196 + 0.342636i) q^{5} +(0.245564 - 2.91822i) q^{6} +(1.98319 + 2.58455i) q^{7} -1.92957 q^{8} +(1.04473 + 2.81221i) q^{9} +(1.20102 + 0.921574i) q^{10} +(-3.56169 + 0.468905i) q^{11} +(-1.34599 + 0.633087i) q^{12} +(2.89782 + 2.14538i) q^{13} +(2.10789 - 5.08890i) q^{14} +(-1.51514 - 0.330631i) q^{15} +(2.49003 + 4.31285i) q^{16} +(-2.88215 + 2.94842i) q^{17} +(3.23462 - 3.90720i) q^{18} +(-4.55081 - 2.62741i) q^{19} +(0.100362 - 0.762326i) q^{20} +(0.264818 + 5.63638i) q^{21} +(3.69764 + 4.81886i) q^{22} +(7.37074 + 5.65577i) q^{23} +(-2.74405 - 1.90787i) q^{24} +(-2.96868 + 2.96868i) q^{25} +(0.691611 - 6.05688i) q^{26} +(-1.29487 + 5.03223i) q^{27} +(-2.77374 + 0.365170i) q^{28} +(-0.933782 - 7.09278i) q^{29} +(0.796758 + 2.49808i) q^{30} +(2.01011 - 0.832614i) q^{31} +(2.28054 - 3.95002i) q^{32} +(-5.52871 - 2.85480i) q^{33} +(6.75384 + 1.72766i) q^{34} +(-2.52605 - 1.45842i) q^{35} +(-2.54010 - 0.430538i) q^{36} +(-3.40297 + 4.43484i) q^{37} +8.88480i q^{38} +(1.99973 + 5.91617i) q^{39} +(1.59614 - 0.661141i) q^{40} +(3.67138 - 0.483346i) q^{41} +(8.02929 - 5.15273i) q^{42} +(-1.11317 - 4.15441i) q^{43} +(1.18061 - 2.85024i) q^{44} +(-1.82776 - 1.96829i) q^{45} +(2.05037 - 15.5741i) q^{46} +(5.13088 + 5.13088i) q^{47} +(-0.723283 + 8.59533i) q^{48} +(-0.935102 + 3.48985i) q^{49} +(6.85665 + 1.83723i) q^{50} +(-7.01397 + 1.34321i) q^{51} +(-2.83985 + 1.23397i) q^{52} +(2.77633 + 2.77633i) q^{53} +(8.46321 - 2.35819i) q^{54} +(2.78555 - 1.60824i) q^{55} +(-3.82672 - 4.98708i) q^{56} +(-3.87384 - 8.23606i) q^{57} +(-9.59632 + 7.36351i) q^{58} +(-0.358133 + 0.620305i) q^{59} +(0.896478 - 0.984870i) q^{60} +(6.94212 + 0.913947i) q^{61} +(-2.91851 - 2.23945i) q^{62} +(-5.19639 + 8.27733i) q^{63} +2.24826 q^{64} +(-3.13215 - 0.781755i) q^{65} +(0.493749 + 10.5089i) q^{66} +(-9.49747 - 2.54484i) q^{67} +(-0.955242 - 3.40953i) q^{68} +(4.88977 + 15.3309i) q^{69} +4.93175i q^{70} +(0.623579 + 0.0820957i) q^{71} +(-2.01589 - 5.42637i) q^{72} +(5.72900 - 2.37303i) q^{73} +(9.37065 + 1.23367i) q^{74} +(-7.15705 + 1.28647i) q^{75} +(3.90812 - 2.25635i) q^{76} +(-8.27543 - 8.27543i) q^{77} +(6.97230 - 7.92965i) q^{78} +(13.8331 - 5.72985i) q^{79} +(-3.53748 - 2.71440i) q^{80} +(-6.81706 + 5.87602i) q^{81} +(-3.81151 - 4.96726i) q^{82} +6.09485 q^{83} +(-4.30560 - 2.22324i) q^{84} +(1.37387 - 3.42645i) q^{85} +(-5.14210 + 5.14210i) q^{86} +(5.68508 - 11.0099i) q^{87} +(6.87254 - 0.904787i) q^{88} +(2.86324 - 10.6858i) q^{89} +(-1.33692 + 4.34032i) q^{90} +(0.202091 + 11.7443i) q^{91} +(-7.37122 + 3.05326i) q^{92} +(3.68182 + 0.803442i) q^{93} +(3.17536 - 11.8506i) q^{94} +(4.66465 + 0.614113i) q^{95} +(7.14875 - 3.36242i) q^{96} +(2.29571 + 0.302236i) q^{97} +(5.90061 - 1.58106i) q^{98} +(-5.03968 - 9.52634i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 640 q - 4 q^{3} - 304 q^{4} - 16 q^{7} - 4 q^{9}+O(q^{10}) \) 640 * q - 4 * q^3 - 304 * q^4 - 16 * q^7 - 4 * q^9	\( 640 q - 4 q^{3} - 304 q^{4} - 16 q^{7} - 4 q^{9} - 88 q^{10} + 16 q^{12} - 36 q^{15} - 288 q^{16} - 24 q^{19} + 32 q^{21} - 8 q^{22} - 8 q^{24} + 32 q^{25} - 64 q^{27} + 8 q^{28} + 32 q^{30} - 32 q^{31} - 48 q^{33} + 32 q^{34} - 20 q^{36} - 112 q^{37} - 12 q^{39} + 32 q^{40} + 44 q^{42} - 40 q^{43} + 56 q^{45} + 32 q^{46} - 68 q^{48} - 40 q^{49} - 64 q^{51} + 32 q^{52} + 104 q^{54} - 4 q^{57} - 48 q^{58} - 8 q^{61} + 16 q^{63} + 480 q^{64} - 120 q^{66} - 64 q^{67} - 24 q^{69} - 208 q^{72} - 96 q^{73} - 56 q^{75} - 72 q^{76} + 164 q^{78} - 64 q^{79} - 48 q^{81} + 8 q^{82} - 32 q^{84} - 8 q^{85} + 68 q^{87} - 104 q^{88} + 16 q^{90} + 96 q^{91} - 28 q^{93} - 56 q^{94} + 40 q^{96} + 64 q^{97} + 52 q^{99}+O(q^{100}) \) 640 * q - 4 * q^3 - 304 * q^4 - 16 * q^7 - 4 * q^9 - 88 * q^10 + 16 * q^12 - 36 * q^15 - 288 * q^16 - 24 * q^19 + 32 * q^21 - 8 * q^22 - 8 * q^24 + 32 * q^25 - 64 * q^27 + 8 * q^28 + 32 * q^30 - 32 * q^31 - 48 * q^33 + 32 * q^34 - 20 * q^36 - 112 * q^37 - 12 * q^39 + 32 * q^40 + 44 * q^42 - 40 * q^43 + 56 * q^45 + 32 * q^46 - 68 * q^48 - 40 * q^49 - 64 * q^51 + 32 * q^52 + 104 * q^54 - 4 * q^57 - 48 * q^58 - 8 * q^61 + 16 * q^63 + 480 * q^64 - 120 * q^66 - 64 * q^67 - 24 * q^69 - 208 * q^72 - 96 * q^73 - 56 * q^75 - 72 * q^76 + 164 * q^78 - 64 * q^79 - 48 * q^81 + 8 * q^82 - 32 * q^84 - 8 * q^85 + 68 * q^87 - 104 * q^88 + 16 * q^90 + 96 * q^91 - 28 * q^93 - 56 * q^94 + 40 * q^96 + 64 * q^97 + 52 * q^99

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