LMFDB - Embedded newform 663.2.cf.a.410.18

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			410.18
Character	$\chi$	$=$	663.410
Dual form			663.2.cf.a.587.18

$q$-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 $\left(\mathbb{Z}/663\mathbb{Z}\right)^\times$.

$n$	$443$	$547$	$613$
$\chi(n)$	$-1$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{11}{12}\right)$

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	0.395362	+	0.918525i	$0.370619\pi$
$2$	−0.845396	+	1.46427i	−0.597785	+	1.03539i	−0.993147	+	0.116869i	$0.962714\pi$
$3$	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	0.189969	−	0.981790i	$-0.439161\pi$
$5$	−0.827196	−	0.342636i	−0.369933	−	0.153231i	−0.559902	+	0.828559i	$0.689161\pi$
$6$	0.245564	+	2.91822i	0.100251	+	1.19136i
$7$	1.98319	−	2.58455i	0.749577	−	0.976868i	−0.250385	−	0.968146i	$-0.580557\pi$
$7$	1.98319	−	2.58455i	0.749577	−	0.976868i	0.999962	−	0.00872156i	$-0.00277619\pi$
$8$	−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	−0.427218	−	0.904149i	$-0.640506\pi$
$11$	−3.56169	−	0.468905i	−1.07389	−	0.141380i	−0.646672	+	0.762768i	$0.723840\pi$
$12$	−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	−0.920971	−	0.389631i	$-0.872603\pi$
$19$	−4.55081	+	2.62741i	−1.04403	+	0.602769i	−0.123056	+	0.992400i	$0.539269\pi$
$20$	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	0.617133	−	0.786859i	$-0.288294\pi$
$23$	7.37074	−	5.65577i	1.53691	−	1.17931i	0.919773	−	0.392451i	$-0.128373\pi$
$24$	−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	0.654433	+	0.756120i	$0.272907\pi$
$29$	−0.933782	+	7.09278i	−0.173399	+	1.31710i	−0.827832	+	0.560976i	$0.810426\pi$
$30$	0.796758	−	2.49808i	0.145467	−	0.456085i
$31$	2.01011	+	0.832614i	0.361026	+	0.149542i	0.555821	−	0.831302i	$-0.312404\pi$
$31$	2.01011	+	0.832614i	0.361026	+	0.149542i	−0.194795	+	0.980844i	$0.562404\pi$
$32$	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	0.424919	−	0.905231i	$-0.360303\pi$
$37$	−3.40297	−	4.43484i	−0.559445	−	0.729083i	−0.984364	+	0.176149i	$0.943636\pi$
$38$		−	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	0.411637	−	0.911348i	$-0.364957\pi$
$41$	3.67138	+	0.483346i	0.573373	+	0.0754860i	0.161736	+	0.986834i	$0.448291\pi$
$42$	8.02929	+	5.15273i	1.23895	+	0.795084i
$43$	−1.11317	+	4.15441i	−0.169757	+	0.633542i	0.827628	+	0.561276i	$0.189690\pi$
$43$	−1.11317	+	4.15441i	−0.169757	+	0.633542i	−0.997385	+	0.0722655i	$0.976977\pi$
$44$	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	−0.225766	−	0.974182i	$-0.572488\pi$
$47$	5.13088	−	5.13088i	0.748416	−	0.748416i	0.974182	+	0.225766i	$0.0724884\pi$
$48$	−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	−0.490233	−	0.871591i	$-0.663088\pi$
$53$	2.77633	−	2.77633i	0.381358	−	0.381358i	0.871591	+	0.490233i	$0.163088\pi$
$54$	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	0.841771	−	0.539835i	$-0.181513\pi$
$59$	−0.358133	−	0.620305i	−0.0466250	−	0.0807568i	−0.888396	+	0.459078i	$0.848180\pi$
$60$	0.896478	+	0.984870i	0.115735	+	0.127146i
$61$	6.94212	−	0.913947i	0.888847	−	0.117019i	0.327746	−	0.944766i	$-0.393711\pi$
$61$	6.94212	−	0.913947i	0.888847	−	0.117019i	0.561102	+	0.827747i	$0.310378\pi$
$62$	−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	−0.787086	−	0.616843i	$-0.788411\pi$
$67$	−9.49747	+	2.54484i	−1.16030	+	0.310902i	−0.373215	+	0.927745i	$0.621745\pi$
$68$	−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	−0.0934326	−	0.995626i	$-0.529784\pi$
$71$	0.623579	−	0.0820957i	0.0740052	−	0.00974297i	0.167438	+	0.985883i	$0.446451\pi$
$72$	−2.01589	+	5.42637i	−0.237575	+	0.639504i
$73$	5.72900	+	2.37303i	0.670529	+	0.277742i	0.691861	−	0.722030i	$-0.256791\pi$
$73$	5.72900	+	2.37303i	0.670529	+	0.277742i	−0.0213327	+	0.999772i	$0.506791\pi$
$74$	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	0.984449	−	0.175670i	$-0.0562091\pi$
$79$	13.8331	+	5.72985i	1.55634	+	0.644658i	0.571893	+	0.820328i	$0.306209\pi$
$80$	−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	0.934227	+	0.356680i	$0.116091\pi$
$89$	2.86324	+	10.6858i	0.303503	+	1.13269i	−0.630724	+	0.776007i	$0.717242\pi$
$90$	−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	−0.0130741	−	0.999915i	$-0.504162\pi$
$97$	2.29571	−	0.302236i	0.233094	−	0.0306874i	0.246168	+	0.969227i	$0.420828\pi$
$98$	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	0.362235	+	0.932087i	$0.382014\pi$
$101$	−6.29216	+	10.8983i	−0.626094	+	1.08443i	−0.988328	+	0.152339i	$0.951319\pi$
$102$	7.89640	−	9.13479i	0.781860	−	0.904479i
$103$			12.4391i			1.22566i	0.790215	+	0.612830i	$0.209969\pi$
$103$			12.4391i			1.22566i	−0.790215	+	0.612830i	$0.790031\pi$
$104$	−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	−0.694913	−	0.719094i	$-0.744557\pi$
$107$	1.68026	−	12.7628i	0.162437	−	1.23383i	0.857349	−	0.514735i	$-0.172110\pi$
$108$	−3.18657	+	3.12380i	−0.306628	+	0.300587i
$109$	−1.40519	+	0.582051i	−0.134593	+	0.0557503i	−0.448963	−	0.893550i	$-0.648207\pi$
$109$	−1.40519	+	0.582051i	−0.134593	+	0.0557503i	0.314370	+	0.949300i	$0.398207\pi$
$110$	−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	0.501379	−	0.865228i	$-0.332826\pi$
$113$	12.8583	−	1.69283i	1.20961	−	0.159248i	0.708233	+	0.705979i	$0.249493\pi$
$114$	−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	0.100105	−	0.994977i	$-0.468082\pi$
$127$	7.71151	−	2.06629i	0.684286	−	0.183354i	0.584182	+	0.811623i	$0.301416\pi$
$128$	−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	−0.858305	−	0.513140i	$-0.828482\pi$
$131$	−12.6172	+	5.22623i	−1.10237	+	0.456618i	−0.244068	+	0.969758i	$0.578482\pi$
$132$	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	−0.800461	−	0.599385i	$-0.795412\pi$
$137$	2.25259	−	8.40676i	0.192451	−	0.718238i	0.992912	−	0.118853i	$-0.0379216\pi$
$138$	18.3148	+	20.1206i	1.55906	+	1.71278i
$139$	−5.31900	−	4.08141i	−0.451151	−	0.346181i	0.358060	−	0.933699i	$-0.383438\pi$
$139$	−5.31900	−	4.08141i	−0.451151	−	0.346181i	−0.809211	+	0.587518i	$0.800105\pi$
$140$	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	−0.653141	−	0.757237i	$-0.726549\pi$
$149$	3.55350	−	13.2618i	0.291114	−	1.08645i	0.944255	−	0.329216i	$-0.106784\pi$
$150$	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	$-0.701136\pi$
$157$		−	20.2212i		−	1.61383i	0.590669	−	0.806914i	$-0.298864\pi$
$158$	−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	−0.998487	−	0.0549936i	$-0.982486\pi$
$163$	−8.77026	+	11.4296i	−0.686940	+	0.895237i	0.311547	+	0.950231i	$0.399153\pi$
$164$	−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	−0.994882	−	0.101048i	$-0.967780\pi$
$167$	−14.9229	+	11.4508i	−1.15477	+	0.886087i	−0.159889	+	0.987135i	$0.551114\pi$
$168$	−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	−0.103578	−	0.994621i	$-0.533029\pi$
$173$	−14.3514	−	11.0122i	−1.09112	−	0.837243i	−0.987538	+	0.157378i	$0.949696\pi$
$174$	−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	−0.999608	−	0.0280048i	$-0.991085\pi$
$179$	−1.97909	−	7.38608i	−0.147924	−	0.552062i	0.851683	−	0.524057i	$-0.175582\pi$
$180$	2.24867	+	0.514188i	0.167606	+	0.0383253i
$181$	−0.994900	+	2.40190i	−0.0739503	+	0.178532i	−0.956532	−	0.291627i	$-0.905803\pi$
$181$	−0.994900	+	2.40190i	−0.0739503	+	0.178532i	0.882582	+	0.470159i	$0.155803\pi$
$182$	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	0.929559	−	0.368675i	$-0.120188\pi$
$191$	2.01082	+	3.48284i	0.145498	+	0.252009i	−0.784061	+	0.620684i	$0.786855\pi$
$192$	3.19726	−	2.22298i	0.230742	−	0.160430i
$193$	−2.23384	+	16.9677i	−0.160796	+	1.22136i	0.700647	+	0.713508i	$0.252895\pi$
$193$	−2.23384	+	16.9677i	−0.160796	+	1.22136i	−0.861442	+	0.507855i	$0.830439\pi$
$194$	−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	0.185709	−	0.982605i	$-0.440542\pi$
$197$	1.55478	+	0.204690i	0.110773	+	0.0145836i	−0.0749357	+	0.997188i	$0.523875\pi$
$198$	−9.68860	−	15.4330i	−0.688539	−	1.09677i
$199$	−11.9821	−	9.19416i	−0.849386	−	0.651757i	0.0894996	−	0.995987i	$-0.471473\pi$
$199$	−11.9821	−	9.19416i	−0.849386	−	0.651757i	−0.938885	+	0.344230i	$0.888140\pi$
$200$	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	0.999370	−	0.0354990i	$-0.0113021\pi$
$211$	10.2614	+	13.3729i	0.706424	+	0.920630i	−0.292945	+	0.956129i	$0.594635\pi$
$212$	−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	0.766954	−	0.641702i	$-0.221772\pi$
$223$	8.88077	+	5.12731i	0.594700	+	0.343350i	−0.172254	+	0.985053i	$0.555105\pi$
$224$	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	0.211316	−	0.977418i	$-0.432225\pi$
$227$	−10.2167	−	7.83952i	−0.678104	−	0.520327i	−0.889420	+	0.457090i	$0.848892\pi$
$228$	7.78871	−	0.655407i	0.515820	−	0.0434054i
$229$			26.3579i			1.74178i	0.491479	+	0.870890i	$0.336457\pi$
$229$			26.3579i			1.74178i	−0.491479	+	0.870890i	$0.663543\pi$
$230$	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	0.962692	+	0.270599i	$0.0872217\pi$
$233$	7.22474	+	17.4421i	0.473308	+	1.14267i	−0.489384	+	0.872069i	$0.662778\pi$
$234$	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	−0.569354	−	0.822093i	$-0.692806\pi$
$239$	3.90725	−	3.90725i	0.252739	−	0.252739i	0.822093	+	0.569354i	$0.192806\pi$
$240$	−2.34677	+	7.35785i	−0.151483	+	0.474947i
$241$	27.1490	−	3.57423i	1.74882	−	0.230237i	0.812889	−	0.582419i	$-0.197894\pi$
$241$	27.1490	−	3.57423i	1.74882	−	0.230237i	0.935931	+	0.352182i	$0.114560\pi$
$242$	−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	−0.0508871	−	0.998704i	$-0.516205\pi$
$251$	12.4933	−	7.21303i	0.788573	−	0.455283i	0.839460	+	0.543422i	$0.182872\pi$
$252$	−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	−0.291627	−	0.956532i	$-0.594197\pi$
$257$	−1.05673	+	0.283149i	−0.0659168	+	0.0176623i	0.225710	+	0.974195i	$0.427530\pi$
$258$	−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	0.466575	−	0.884481i	$-0.345488\pi$
$263$	21.2914	−	5.70501i	1.31288	−	0.351786i	0.846307	+	0.532696i	$0.178821\pi$
$264$	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	−0.864818	−	0.502086i	$-0.832566\pi$
$269$	−2.55873	+	3.33461i	−0.156009	+	0.203315i	0.708809	+	0.705400i	$0.249233\pi$
$270$	−6.19273	−	4.85048i	−0.376878	−	0.295191i
$271$	−7.74331	−	28.8984i	−0.470373	−	1.75546i	−0.638432	−	0.769678i	$-0.720417\pi$
$271$	−7.74331	−	28.8984i	−0.470373	−	1.75546i	0.168059	−	0.985777i	$-0.446250\pi$
$272$	−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	0.655012	−	0.755619i	$-0.272664\pi$
$277$	1.57561	+	1.20901i	0.0946692	+	0.0726423i	−0.560342	+	0.828261i	$0.689330\pi$
$278$	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	0.701437	−	0.712732i	$-0.252542\pi$
$283$	−2.83552	−	3.69532i	−0.168554	−	0.219664i	−0.869991	+	0.493068i	$0.835876\pi$
$284$	−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	0.557829	−	0.829956i	$-0.311634\pi$
$293$	10.7145	+	2.87093i	0.625945	+	0.167722i	0.0681162	+	0.997677i	$0.478301\pi$
$294$	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	−0.0975632	−	0.995229i	$-0.531105\pi$
$307$	15.7284	−	15.7284i	0.897666	−	0.897666i	0.995229	+	0.0975632i	$0.0311048\pi$
$308$	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	0.978807	−	0.204785i	$-0.0656496\pi$
$311$	2.50210	+	6.04060i	0.141881	+	0.342531i	−0.836926	+	0.547316i	$0.815650\pi$
$312$	−3.85863	+	11.4157i	−0.218452	+	0.646286i
$313$	−3.87233	+	9.34862i	−0.218877	+	0.528415i	−0.994734	−	0.102494i	$-0.967318\pi$
$313$	−3.87233	+	9.34862i	−0.218877	+	0.528415i	0.775857	+	0.630909i	$0.217318\pi$
$314$	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	−0.612790	−	0.790246i	$-0.709953\pi$
$317$	−8.67632	+	3.59385i	−0.487311	+	0.201851i	0.125480	+	0.992096i	$0.459953\pi$
$318$	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	0.514632	−	0.857411i	$-0.327928\pi$
$331$	−8.82787	−	15.2903i	−0.485224	−	0.840432i	−0.999856	+	0.0169792i	$0.994595\pi$
$332$	−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	0.925073	−	0.379788i	$-0.124003\pi$
$337$	0.0439988	+	0.106222i	0.00239677	+	0.00578631i	−0.922677	+	0.385575i	$0.874003\pi$
$338$	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	−0.994769	−	0.102149i	$-0.967428\pi$
$347$	−1.12390	−	8.53684i	−0.0603339	−	0.458282i	0.934435	−	0.356133i	$-0.115905\pi$
$348$	5.74721	−	8.95564i	0.308083	−	0.480072i
$349$	15.6620	+	9.04247i	0.838368	+	0.484032i	0.856709	−	0.515800i	$-0.172505\pi$
$349$	15.6620	+	9.04247i	0.838368	+	0.484032i	−0.0183410	+	0.999832i	$0.505838\pi$
$350$	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	−0.238329	−	0.971184i	$-0.576600\pi$
$353$	0.767757	−	0.205720i	0.0408636	−	0.0109494i	0.279193	+	0.960235i	$0.409933\pi$
$354$	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	$0.0585377\pi$
$359$			6.92966i			0.365733i	−0.983138	+	0.182867i	$0.941462\pi$
$360$	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	0.861687	−	0.507440i	$-0.169408\pi$
$367$	2.84517	+	3.70789i	0.148517	+	0.193551i	−0.713171	+	0.700991i	$0.752741\pi$
$368$	−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	0.964291	+	0.264844i	$0.0853204\pi$
$373$	13.7415	+	23.8010i	0.711507	+	1.23237i	−0.252784	+	0.967523i	$0.581346\pi$
$374$	−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	0.855606	−	0.517628i	$-0.173185\pi$
$379$	2.61199	+	3.40401i	0.134169	+	0.174852i	−0.721437	+	0.692480i	$0.756518\pi$
$380$	−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	−0.151555	−	0.988449i	$-0.548428\pi$
$383$	12.3037	−	7.10354i	0.628689	−	0.362974i	0.780244	+	0.625475i	$0.215095\pi$
$384$	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	0.881473	−	0.472234i	$-0.156552\pi$
$389$	8.07146	+	8.07146i	0.409239	+	0.409239i	−0.472234	+	0.881473i	$0.656552\pi$
$390$	−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	0.655156	−	0.755494i	$-0.272603\pi$
$397$	1.89231	+	1.45202i	0.0949723	+	0.0728748i	−0.560184	+	0.828368i	$0.689270\pi$
$398$	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	0.764955	+	0.644084i	$0.222761\pi$
$401$	−2.81623	+	21.3914i	−0.140636	+	1.06824i	−0.905591	+	0.424153i	$0.860572\pi$
$402$	−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	−0.645103	−	0.764096i	$-0.723185\pi$
$409$	5.97856	−	22.3123i	0.295621	−	1.10327i	0.940723	−	0.339175i	$-0.110148\pi$
$410$	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	0.917044	−	0.398786i	$-0.130568\pi$
$419$	6.02823	+	7.85615i	0.294498	+	0.383798i	−0.622546	+	0.782583i	$0.713902\pi$
$420$	4.32334	−	0.363802i	0.210957	−	0.0177517i
$421$	10.9106	−	10.9106i	0.531749	−	0.531749i	−0.389344	−	0.921093i	$-0.627298\pi$
$421$	10.9106	−	10.9106i	0.531749	−	0.531749i	0.921093	+	0.389344i	$0.127298\pi$
$422$	−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	0.704534	+	0.709670i	$0.251156\pi$
$431$	−3.31483	+	25.1786i	−0.159670	+	1.21281i	−0.864204	+	0.503142i	$0.832177\pi$
$432$	−24.9275	−	6.94580i	−1.19933	−	0.334180i
$433$	−5.67646	+	21.1848i	−0.272793	+	1.01808i	0.684513	+	0.729001i	$0.260015\pi$
$433$	−5.67646	+	21.1848i	−0.272793	+	1.01808i	−0.957306	+	0.289077i	$0.906652\pi$
$434$			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	0.739216	−	0.673469i	$-0.235196\pi$
$439$	26.7967	+	3.52785i	1.27894	+	0.168375i	0.539721	+	0.841844i	$0.318530\pi$
$440$	−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	$0.161715\pi$
$443$			20.4779i			0.972936i	−0.873698	+	0.486468i	$0.838285\pi$
$444$	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	0.825362	−	0.564603i	$-0.190971\pi$
$449$	10.4596	+	8.02590i	0.493617	+	0.378766i	−0.331745	+	0.943369i	$0.607638\pi$
$450$	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	0.944980	−	0.327128i	$-0.106081\pi$
$457$	24.2457	+	13.9983i	1.13417	+	0.654812i	0.189188	+	0.981941i	$0.439414\pi$
$458$	−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	−0.959904	−	0.280328i	$-0.909557\pi$
$461$	−15.5175	−	26.8772i	−0.722724	−	1.25179i	0.237181	−	0.971466i	$-0.423777\pi$
$462$	−26.1817	−	22.1174i	−1.21808	−	1.02899i
$463$	−22.5897	−	22.5897i	−1.04983	−	1.04983i	−0.998691	−	0.0511428i	$-0.983714\pi$
$463$	−22.5897	−	22.5897i	−1.04983	−	1.04983i	−0.0511428	−	0.998691i	$-0.516286\pi$
$464$	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	0.349726	−	0.936852i	$-0.386275\pi$
$467$	27.8032	−	27.8032i	1.28658	−	1.28658i	0.936852	−	0.349726i	$-0.113725\pi$
$468$	−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	−0.699409	−	0.714722i	$-0.746553\pi$
$479$	−4.15967	+	3.19183i	−0.190060	+	0.145838i	0.509348	+	0.860560i	$0.329887\pi$
$480$	−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	−0.360483	−	0.932766i	$-0.617388\pi$
$487$	13.9867	−	18.2279i	0.633799	−	0.825983i	0.994282	+	0.106783i	$0.0340549\pi$
$488$	−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	−0.721014	−	0.692921i	$-0.756323\pi$
$491$	−22.1357	+	5.93124i	−0.998969	+	0.267673i	−0.277956	+	0.960594i	$0.589657\pi$
$492$	−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	−0.854501	−	0.519450i	$-0.826137\pi$
$499$	−13.7958	−	33.3060i	−0.617584	−	1.49098i	0.236916	−	0.971530i	$-0.423863\pi$
$500$	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	−0.958967	−	0.283517i	$-0.908499\pi$
$503$	−2.37858	−	18.0671i	−0.106056	−	0.805572i	0.852912	−	0.522055i	$-0.174835\pi$
$504$	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	0.931785	−	0.363010i	$-0.118251\pi$
$509$	−1.27852	−	4.77150i	−0.0566694	−	0.211493i	−0.988455	+	0.151517i	$0.951584\pi$
$510$	−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	−0.910034	−	0.414535i	$-0.863944\pi$
$521$	0.606646	−	1.46457i	0.0265777	−	0.0641641i	0.936611	+	0.350371i	$0.113944\pi$
$522$	−30.7333	+	19.2940i	−1.34516	+	0.844474i
$523$	21.2417	+	12.2639i	0.928836	+	0.536264i	0.886443	−	0.462837i	$-0.153169\pi$
$523$	21.2417	+	12.2639i	0.928836	+	0.536264i	0.0423928	+	0.999101i	$0.486502\pi$
$524$	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	−0.988447	−	0.151568i	$-0.951568\pi$
$541$	−4.24100	+	10.2387i	−0.182335	+	0.440195i	0.806112	+	0.591763i	$0.201568\pi$
$542$	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	−0.145546	−	0.989352i	$-0.546494\pi$
$547$	10.5507	−	4.37024i	0.451115	−	0.186858i	0.596661	+	0.802494i	$0.296494\pi$
$548$	−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	0.996421	+	0.0845267i	$0.0269378\pi$
$557$	4.14805	+	15.4807i	0.175758	+	0.655940i	−0.820663	+	0.571413i	$0.806396\pi$
$558$	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	−0.987047	−	0.160433i	$-0.948711\pi$
$563$	−1.23438	+	4.60675i	−0.0520227	+	0.194152i	0.935024	+	0.354584i	$0.115378\pi$
$564$	−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	0.992032	−	0.125985i	$-0.0402092\pi$
$569$	1.66772	+	6.22401i	0.0699144	+	0.260924i	−0.922118	+	0.386910i	$0.873543\pi$
$570$	2.93759	+	13.4617i	0.123042	+	0.563848i
$571$	−14.9127	−	6.17703i	−0.624076	−	0.258501i	0.0481577	−	0.998840i	$-0.484665\pi$
$571$	−14.9127	−	6.17703i	−0.624076	−	0.258501i	−0.672234	+	0.740339i	$0.734665\pi$
$572$	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	0.00824850	−	0.999966i	$-0.497374\pi$
$577$	−23.8219	−	23.8219i	−0.991717	−	0.991717i	−0.999966	+	0.00824850i	$0.997374\pi$
$578$	−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	−0.136868	−	0.990589i	$-0.543704\pi$
$587$	−25.7588	−	14.8718i	−1.06318	−	0.613826i	−0.926310	+	0.376763i	$0.877037\pi$
$588$	−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	$-0.943474\pi$
$593$		−	8.60348i		−	0.353303i	0.984274	−	0.176651i	$-0.0565265\pi$
$594$	−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	−0.815390	−	0.578912i	$-0.803477\pi$
$601$	−11.4546	+	8.78941i	−0.467242	+	0.358527i	0.348148	+	0.937440i	$0.386811\pi$
$602$	−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	−0.955705	−	0.294326i	$-0.904905\pi$
$607$	−10.4475	+	13.6155i	−0.424053	+	0.552636i	0.531652	+	0.846963i	$0.321571\pi$
$608$	−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	−0.0804163	−	0.996761i	$-0.525625\pi$
$613$	8.62404	−	2.31081i	0.348322	−	0.0933325i	0.428738	+	0.903429i	$0.358958\pi$
$614$	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	0.978150	+	0.207902i	$0.0666634\pi$
$617$	2.16448	+	16.4408i	0.0871386	+	0.661883i	−0.891011	+	0.453981i	$0.850003\pi$
$618$	−36.3000	+	3.05459i	−1.46020	+	0.122874i
$619$	−10.9008	−	26.3168i	−0.438139	−	1.05776i	−0.976591	−	0.215105i	$-0.930991\pi$
$619$	−10.9008	−	26.3168i	−0.438139	−	1.05776i	0.538452	−	0.842656i	$-0.319009\pi$
$620$	−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	0.948728	−	0.316094i	$-0.102372\pi$
$631$	5.03947	+	8.72862i	0.200618	+	0.347481i	−0.748110	+	0.663575i	$0.769038\pi$
$632$	−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	0.0619142	−	0.998081i	$-0.480279\pi$
$641$	25.5702	−	33.3237i	1.00996	−	1.31621i	0.948048	−	0.318127i	$-0.103054\pi$
$642$	37.6574	+	1.76928i	1.48622	+	0.0698280i
$643$	−4.29916	−	32.6554i	−0.169542	−	1.28780i	−0.838664	−	0.544649i	$-0.816663\pi$
$643$	−4.29916	−	32.6554i	−0.169542	−	1.28780i	0.669122	−	0.743153i	$-0.266670\pi$
$644$	−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	−0.658281	−	0.752772i	$-0.728716\pi$
$647$	8.21027	−	14.2206i	0.322779	−	0.559069i	0.981060	+	0.193702i	$0.0620496\pi$
$648$	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	−0.972516	−	0.232837i	$-0.925199\pi$
$653$	−25.5364	+	19.5948i	−0.999318	+	0.766804i	−0.0268022	+	0.999641i	$0.508532\pi$
$654$	−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	0.813476	−	0.581599i	$-0.197573\pi$
$659$	−2.48858	−	4.31034i	−0.0969412	−	0.167907i	−0.910417	+	0.413692i	$0.864239\pi$
$660$	−2.73116	−	3.92817i	−0.106310	−	0.152904i
$661$	5.00898	−	8.67581i	0.194827	−	0.337450i	−0.752017	−	0.659144i	$-0.770919\pi$
$661$	5.00898	−	8.67581i	0.194827	−	0.337450i	0.946844	+	0.321694i	$0.104252\pi$
$662$	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	−0.840961	−	0.541096i	$-0.818010\pi$
$673$	−13.9040	+	10.6689i	−0.535959	+	0.411256i	0.305002	+	0.952352i	$0.401343\pi$
$674$	−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	0.873787	+	0.486309i	$0.161657\pi$
$677$	15.6063	+	37.6769i	0.599799	+	1.44804i	−0.273988	+	0.961733i	$0.588343\pi$
$678$	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	0.997468	−	0.0711132i	$-0.0226552\pi$
$683$	0.407236	+	3.09327i	0.0155825	+	0.118361i	−0.981886	+	0.189474i	$0.939322\pi$
$684$	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	0.626682	−	0.779275i	$-0.284413\pi$
$691$	27.0839	+	3.56566i	1.03032	+	0.135644i	0.403637	+	0.914919i	$0.367746\pi$
$692$	−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	$0.213112\pi$
$701$			32.8626i			1.24120i	−0.784125	+	0.620602i	$0.786888\pi$
$702$	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	−0.930542	−	0.366185i	$-0.880664\pi$
$709$	−3.36787	−	25.5815i	−0.126483	−	0.960735i	0.804059	−	0.594550i	$-0.202670\pi$
$710$	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	−0.133072	−	0.991106i	$-0.542484\pi$
$719$	23.0255	−	30.0074i	0.858705	−	1.11909i	0.991777	−	0.127980i	$-0.0408493\pi$
$720$	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	$0.109189\pi$
$733$			18.2121i			0.672679i	−0.941741	+	0.336339i	$0.890811\pi$
$734$	−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	0.860427	−	0.509574i	$-0.170197\pi$
$739$	23.0888	+	13.3303i	0.849337	+	0.490365i	−0.0110903	+	0.999939i	$0.503530\pi$
$740$	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	−0.00707689	−	0.999975i	$-0.502253\pi$
$743$	26.0857	−	20.0163i	0.956993	−	0.734327i	0.964070	+	0.265648i	$0.0855860\pi$
$744$	−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	−0.694587	−	0.719409i	$-0.744413\pi$
$751$	−42.5235	−	5.59832i	−1.55170	−	0.204286i	−0.857116	+	0.515123i	$0.827746\pi$
$752$	−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	0.903143	+	0.429339i	$0.141253\pi$
$757$	9.23544	+	34.4671i	0.335668	+	1.25273i	−0.567475	+	0.823390i	$0.692080\pi$
$758$	−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	0.0433678	−	0.999059i	$-0.486191\pi$
$761$	−11.5477	−	3.09420i	−0.418604	−	0.112165i	−0.461972	+	0.886895i	$0.652858\pi$
$762$	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	0.999884	+	0.0152072i	$0.00484080\pi$
$769$	3.92565	+	14.6507i	0.141563	+	0.528319i	−0.858322	+	0.513112i	$0.828493\pi$
$770$	−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	−0.147171	−	0.989111i	$-0.547017\pi$
$773$	17.6782	−	10.2065i	0.635839	−	0.367102i	0.783010	+	0.622009i	$0.213683\pi$
$774$	−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	0.993439	+	0.114360i	$0.0364818\pi$
$787$	1.77997	+	13.5202i	0.0634492	+	0.481945i	−0.929990	+	0.367584i	$0.880185\pi$
$788$	−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	0.452202	+	0.891916i	$0.350639\pi$
$797$	−10.8796	+	40.6031i	−0.385374	+	1.43824i	−0.837576	+	0.546321i	$0.816028\pi$
$798$	−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	−0.968768	−	0.247970i	$-0.920237\pi$
$809$	−27.8736	+	21.3882i	−0.979983	+	0.751968i	−0.0112153	+	0.999937i	$0.503570\pi$
$810$	−13.6026	−	0.774781i	−0.477947	−	0.0272230i
$811$	−6.56583	+	15.8513i	−0.230557	+	0.556615i	−0.996243	−	0.0865999i	$-0.972400\pi$
$811$	−6.56583	+	15.8513i	−0.230557	+	0.556615i	0.765686	+	0.643215i	$0.222400\pi$
$812$	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	−0.195135	−	0.980776i	$-0.562514\pi$
$821$	20.1064	−	15.4282i	0.701718	−	0.538447i	0.896853	+	0.442329i	$0.145848\pi$
$822$	25.0860	+	4.50915i	0.874973	+	0.157275i
$823$	−4.26505	−	32.3963i	−0.148670	−	1.12926i	−0.889292	−	0.457341i	$-0.848802\pi$
$823$	−4.26505	−	32.3963i	−0.148670	−	1.12926i	0.740621	−	0.671923i	$-0.234531\pi$
$824$		−	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	0.854997	−	0.518634i	$-0.173559\pi$
$827$	−3.34470	−	8.07482i	−0.116307	−	0.280789i	−0.971303	+	0.237845i	$0.923559\pi$
$828$	−16.2874	+	17.5396i	−0.566025	+	0.609543i
$829$	−4.90201	+	8.49054i	−0.170254	+	0.294889i	−0.938509	−	0.345256i	$-0.887792\pi$
$829$	−4.90201	+	8.49054i	−0.170254	+	0.294889i	0.768255	+	0.640144i	$0.221125\pi$
$830$	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	−0.981035	−	0.193831i	$-0.937909\pi$
$839$	−15.6384	+	20.3804i	−0.539898	+	0.703609i	0.441137	+	0.897440i	$0.354575\pi$
$840$	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	−0.357874	−	0.933770i	$-0.616498\pi$
$853$	16.2227	−	39.1652i	0.555456	−	1.34099i	0.913330	−	0.407220i	$-0.133502\pi$
$854$	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	−0.0716757	+	0.997428i	$0.522835\pi$
$857$	−21.2616	+	51.3300i	−0.726281	+	1.75340i	−0.654606	+	0.755970i	$0.727165\pi$
$858$	−21.1149	−	31.5123i	−0.720851	−	1.07581i
$859$	−3.49570	+	3.49570i	−0.119272	+	0.119272i	−0.764223	−	0.644952i	$-0.776878\pi$
$859$	−3.49570	+	3.49570i	−0.119272	+	0.119272i	0.644952	+	0.764223i	$0.276878\pi$
$860$	−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	0.549002	−	0.835821i	$-0.315008\pi$
$863$	−8.42585	−	8.42585i	−0.286819	−	0.286819i	−0.835821	+	0.549002i	$0.815008\pi$
$864$	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	0.131088	−	0.991371i	$-0.458153\pi$
$877$	−23.4715	−	18.0103i	−0.792575	−	0.608164i	−0.923663	+	0.383207i	$0.874820\pi$
$878$	−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	0.884170	+	0.467165i	$0.154725\pi$
$881$	−2.69462	+	20.4676i	−0.0907839	+	0.689573i	−0.974954	+	0.222407i	$0.928609\pi$
$882$	10.6108	−	14.9420i	0.357286	−	0.503122i
$883$			45.1559i			1.51962i	0.650148	+	0.759808i	$0.274707\pi$
$883$			45.1559i			1.51962i	−0.650148	+	0.759808i	$0.725293\pi$
$884$	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	−0.438521	−	0.898721i	$-0.644497\pi$
$887$	−32.6031	−	4.29228i	−1.09471	−	0.144121i	−0.656185	+	0.754600i	$0.727831\pi$
$888$	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	0.802333	−	0.596877i	$-0.203592\pi$
$907$	0.546159	+	0.711768i	0.0181349	+	0.0236339i	−0.784198	+	0.620511i	$0.786925\pi$
$908$	−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	0.213774	−	0.976883i	$-0.431424\pi$
$911$	−9.83429	−	4.07350i	−0.325825	−	0.134961i	−0.539599	+	0.841922i	$0.681424\pi$
$912$	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	−0.991443	−	0.130544i	$-0.958328\pi$
$919$	−18.4550	−	31.9651i	−0.608775	−	1.05443i	0.382667	−	0.923886i	$-0.375006\pi$
$920$	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	0.928207	−	0.372065i	$-0.121350\pi$
$929$	24.6596	+	18.9220i	0.809057	+	0.620811i	−0.119150	+	0.992876i	$0.538017\pi$
$930$	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	−0.923466	−	0.383680i	$-0.874657\pi$
$937$	−40.0123	−	40.0123i	−1.30715	−	1.30715i	−0.383680	−	0.923466i	$-0.625343\pi$
$938$	−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	−0.105446	−	0.994425i	$-0.533627\pi$
$941$	16.0482	−	6.64739i	0.523157	−	0.216699i	0.628603	+	0.777726i	$0.283627\pi$
$942$	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	0.924230	−	0.381836i	$-0.124708\pi$
$947$	9.73042	+	12.6809i	0.316196	+	0.412075i	−0.608034	+	0.793911i	$0.708041\pi$
$948$	−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	0.979209	−	0.202854i	$-0.0650218\pi$
$953$	9.69116	+	16.7856i	0.313927	+	0.543738i	−0.665281	+	0.746593i	$0.731688\pi$
$954$	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	$-0.956938\pi$
$967$		−	8.38803i		−	0.269741i	0.990863	−	0.134870i	$-0.0430618\pi$
$968$	−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	−0.0539954	−	0.998541i	$-0.517196\pi$
$971$	−18.6974	−	5.00995i	−0.600027	−	0.160777i	−0.546032	+	0.837764i	$0.683862\pi$
$972$	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	0.607057	−	0.794658i	$-0.292350\pi$
$977$	6.95128	+	4.01332i	0.222391	+	0.128398i	−0.384666	+	0.923056i	$0.625683\pi$
$978$	−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	0.863606	−	0.504167i	$-0.168200\pi$
$983$	35.0452	+	14.5162i	1.11777	+	0.462995i	0.254162	+	0.967162i	$0.418200\pi$
$984$	−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	−0.597636	−	0.801767i	$-0.703893\pi$
$991$	−43.5188	−	5.72936i	−1.38242	−	0.181999i	−0.784785	+	0.619768i	$0.787227\pi$
$992$	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	0.997820	+	0.0659946i	$0.0210220\pi$
$997$	1.61288	+	12.2511i	0.0510806	+	0.387995i	−0.946739	+	0.322001i	$0.895645\pi$
$998$	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.410.18	✓	640
3.2	odd	2	inner	663.2.cf.a.410.63	yes	640
13.2	odd	12		663.2.ck.a.2.18	yes	640
17.9	even	8		663.2.ck.a.332.63	yes	640
39.2	even	12		663.2.ck.a.2.63	yes	640
51.26	odd	8		663.2.ck.a.332.18	yes	640
221.145	odd	24	inner	663.2.cf.a.587.63	yes	640
663.587	even	24	inner	663.2.cf.a.587.18	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
663.2.cf.a.410.18	✓	640	1.1	even	1	trivial
663.2.cf.a.410.63	yes	640	3.2	odd	2	inner
663.2.cf.a.587.18	yes	640	663.587	even	24	inner
663.2.cf.a.587.63	yes	640	221.145	odd	24	inner
663.2.ck.a.2.18	yes	640	13.2	odd	12
663.2.ck.a.2.63	yes	640	39.2	even	12
663.2.ck.a.332.18	yes	640	51.26	odd	8
663.2.ck.a.332.63	yes	640	17.9	even	8

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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