LMFDB - Embedded newform 273.2.bv.b.128.6

Newspace parameters

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.bv (of order $12$, degree $4$, minimal)

Newform invariants

Self dual:	no
Analytic conductor:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$32$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			128.6
Character	$\chi$	$=$	273.128
Dual form			273.2.bv.b.32.6

$q$-expansion

$f(q)$	$=$	$q+(-1.49865 + 1.49865i) q^{2} +(-1.00312 - 1.41200i) q^{3} -2.49189i q^{4} +(0.189246 + 0.706275i) q^{5} +(3.61942 + 0.612770i) q^{6} +(-2.64267 - 0.127700i) q^{7} +(0.737165 + 0.737165i) q^{8} +(-0.987501 + 2.83282i) q^{9} +O(q^{10})$	\(q+(-1.49865 + 1.49865i) q^{2} +(-1.00312 - 1.41200i) q^{3} -2.49189i q^{4} +(0.189246 + 0.706275i) q^{5} +(3.61942 + 0.612770i) q^{6} +(-2.64267 - 0.127700i) q^{7} +(0.737165 + 0.737165i) q^{8} +(-0.987501 + 2.83282i) q^{9} +(-1.34207 - 0.774844i) q^{10} +(3.26458 - 0.874742i) q^{11} +(-3.51855 + 2.49966i) q^{12} +(3.48370 - 0.929429i) q^{13} +(4.15180 - 3.76905i) q^{14} +(0.807426 - 0.975694i) q^{15} +2.77427 q^{16} +4.62710 q^{17} +(-2.76548 - 5.72531i) q^{18} +(-1.69330 + 6.31950i) q^{19} +(1.75996 - 0.471579i) q^{20} +(2.47060 + 3.85955i) q^{21} +(-3.58153 + 6.20338i) q^{22} +1.23779 q^{23} +(0.301414 - 1.78034i) q^{24} +(3.86712 - 2.23268i) q^{25} +(-3.82795 + 6.61372i) q^{26} +(4.99052 - 1.44730i) q^{27} +(-0.318214 + 6.58523i) q^{28} +(0.0742930 - 0.0428931i) q^{29} +(0.252175 + 2.67227i) q^{30} +(-1.75110 + 6.53521i) q^{31} +(-5.63199 + 5.63199i) q^{32} +(-4.50990 - 3.73212i) q^{33} +(-6.93438 + 6.93438i) q^{34} +(-0.409922 - 1.89062i) q^{35} +(7.05905 + 2.46074i) q^{36} +(3.78999 - 3.78999i) q^{37} +(-6.93303 - 12.0084i) q^{38} +(-4.80692 - 3.98666i) q^{39} +(-0.381136 + 0.660146i) q^{40} +(11.3670 + 3.04579i) q^{41} +(-9.48666 - 2.08155i) q^{42} +(-7.89663 - 4.55912i) q^{43} +(-2.17976 - 8.13497i) q^{44} +(-2.18763 - 0.161349i) q^{45} +(-1.85501 + 1.85501i) q^{46} +(1.11118 - 0.297740i) q^{47} +(-2.78293 - 3.91728i) q^{48} +(6.96739 + 0.674939i) q^{49} +(-2.44944 + 9.14144i) q^{50} +(-4.64153 - 6.53347i) q^{51} +(-2.31603 - 8.68098i) q^{52} +(-0.966555 + 0.558041i) q^{53} +(-5.31004 + 9.64803i) q^{54} +(1.23562 + 2.14015i) q^{55} +(-1.85394 - 2.04222i) q^{56} +(10.6217 - 3.94826i) q^{57} +(-0.0470574 + 0.175621i) q^{58} +(0.0904502 + 0.0904502i) q^{59} +(-2.43132 - 2.01201i) q^{60} +(0.604519 + 1.04706i) q^{61} +(-7.16968 - 12.4183i) q^{62} +(2.97139 - 7.36009i) q^{63} -11.3322i q^{64} +(1.31571 + 2.28456i) q^{65} +(12.3519 - 1.16562i) q^{66} +(7.33907 - 1.96650i) q^{67} -11.5302i q^{68} +(-1.24165 - 1.74776i) q^{69} +(3.44770 + 2.21904i) q^{70} +(-0.179939 - 0.671543i) q^{71} +(-2.81620 + 1.36030i) q^{72} +(-3.83834 - 1.02848i) q^{73} +11.3597i q^{74} +(-7.03173 - 3.22073i) q^{75} +(15.7475 + 4.21952i) q^{76} +(-8.73891 + 1.89476i) q^{77} +(13.1785 - 1.22928i) q^{78} +(7.74974 - 13.4229i) q^{79} +(0.525020 + 1.95940i) q^{80} +(-7.04968 - 5.59481i) q^{81} +(-21.5997 + 12.4706i) q^{82} +(-4.66837 + 4.66837i) q^{83} +(9.61756 - 6.15645i) q^{84} +(0.875658 + 3.26800i) q^{85} +(18.6668 - 5.00175i) q^{86} +(-0.135090 - 0.0618750i) q^{87} +(3.05136 + 1.76170i) q^{88} +(-8.63123 - 8.63123i) q^{89} +(3.52029 - 3.03668i) q^{90} +(-9.32495 + 2.01130i) q^{91} -3.08443i q^{92} +(10.9843 - 4.08303i) q^{93} +(-1.21906 + 2.11147i) q^{94} -4.78375 q^{95} +(13.6019 + 2.30282i) q^{96} +(-7.29693 + 1.95521i) q^{97} +(-11.4531 + 9.43016i) q^{98} +(-0.745794 + 10.1118i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q + 2 q^{3} - 4 q^{6} - 16 q^{7} + 8 q^{9}+O(q^{10}) $ 128 * q + 2 * q^3 - 4 * q^6 - 16 * q^7 + 8 * q^9	$ 128 q + 2 q^{3} - 4 q^{6} - 16 q^{7} + 8 q^{9} - 12 q^{10} + 48 q^{12} - 16 q^{13} - 6 q^{15} - 64 q^{16} - 2 q^{18} - 4 q^{19} - 6 q^{21} - 8 q^{22} + 2 q^{24} - 40 q^{27} + 68 q^{28} + 18 q^{30} + 20 q^{31} - 16 q^{33} - 48 q^{34} - 60 q^{36} - 8 q^{37} + 4 q^{39} + 44 q^{40} + 2 q^{42} - 144 q^{43} - 2 q^{45} - 24 q^{46} - 64 q^{48} - 60 q^{49} - 36 q^{51} + 48 q^{52} + 14 q^{54} - 16 q^{55} + 40 q^{57} + 44 q^{58} - 58 q^{60} + 20 q^{61} + 14 q^{63} - 34 q^{66} - 84 q^{67} - 54 q^{69} - 104 q^{70} + 46 q^{72} - 48 q^{73} + 144 q^{76} + 82 q^{78} - 24 q^{79} + 24 q^{81} + 36 q^{82} + 184 q^{84} + 56 q^{85} + 4 q^{87} + 132 q^{88} + 24 q^{91} + 16 q^{93} - 16 q^{94} - 90 q^{96} + 52 q^{97} - 10 q^{99}+O(q^{100}) $ 128 * q + 2 * q^3 - 4 * q^6 - 16 * q^7 + 8 * q^9 - 12 * q^10 + 48 * q^12 - 16 * q^13 - 6 * q^15 - 64 * q^16 - 2 * q^18 - 4 * q^19 - 6 * q^21 - 8 * q^22 + 2 * q^24 - 40 * q^27 + 68 * q^28 + 18 * q^30 + 20 * q^31 - 16 * q^33 - 48 * q^34 - 60 * q^36 - 8 * q^37 + 4 * q^39 + 44 * q^40 + 2 * q^42 - 144 * q^43 - 2 * q^45 - 24 * q^46 - 64 * q^48 - 60 * q^49 - 36 * q^51 + 48 * q^52 + 14 * q^54 - 16 * q^55 + 40 * q^57 + 44 * q^58 - 58 * q^60 + 20 * q^61 + 14 * q^63 - 34 * q^66 - 84 * q^67 - 54 * q^69 - 104 * q^70 + 46 * q^72 - 48 * q^73 + 144 * q^76 + 82 * q^78 - 24 * q^79 + 24 * q^81 + 36 * q^82 + 184 * q^84 + 56 * q^85 + 4 * q^87 + 132 * q^88 + 24 * q^91 + 16 * q^93 - 16 * q^94 - 90 * q^96 + 52 * q^97 - 10 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$-1$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{1}{3}\right)$

Coefficient data

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

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

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

$2$	−1.49865	+	1.49865i	−1.05970	+	1.05970i	−0.0616028	+	0.998101i	$0.519621\pi$
$2$	−1.49865	+	1.49865i	−1.05970	+	1.05970i	−0.998101	+	0.0616028i	$0.980379\pi$
$3$	−1.00312	−	1.41200i	−0.579152	−	0.815220i
$3$	−1.00312	−	1.41200i	−0.579152	−	0.815220i
$4$		−	2.49189i		−	1.24594i
$5$	0.189246	+	0.706275i	0.0846333	+	0.315856i	0.995244	−	0.0974084i	$-0.0310553\pi$
$5$	0.189246	+	0.706275i	0.0846333	+	0.315856i	−0.910611	+	0.413264i	$0.864389\pi$
$6$	3.61942	+	0.612770i	1.47762	+	0.250162i
$7$	−2.64267	−	0.127700i	−0.998835	−	0.0482661i
$7$	−2.64267	−	0.127700i	−0.998835	−	0.0482661i
$8$	0.737165	+	0.737165i	0.260627	+	0.260627i
$9$	−0.987501	+	2.83282i	−0.329167	+	0.944272i
$10$	−1.34207	−	0.774844i	−0.424400	−	0.245027i
$11$	3.26458	−	0.874742i	0.984308	−	0.263745i	0.269450	−	0.963014i	$-0.413158\pi$
$11$	3.26458	−	0.874742i	0.984308	−	0.263745i	0.714858	+	0.699270i	$0.246491\pi$
$12$	−3.51855	+	2.49966i	−1.01572	+	0.721590i
$13$	3.48370	−	0.929429i	0.966204	−	0.257777i
$13$	3.48370	−	0.929429i	0.966204	−	0.257777i
$14$	4.15180	−	3.76905i	1.10962	−	1.00732i
$15$	0.807426	−	0.975694i	0.208476	−	0.251923i
$16$	2.77427			0.693569
$17$	4.62710			1.12224			0.561118	−	0.827736i	$-0.310372\pi$
$17$	4.62710			1.12224			0.561118	+	0.827736i	$0.310372\pi$
$18$	−2.76548	−	5.72531i	−0.651829	−	1.34947i
$19$	−1.69330	+	6.31950i	−0.388471	+	1.44979i	0.444152	+	0.895951i	$0.353505\pi$
$19$	−1.69330	+	6.31950i	−0.388471	+	1.44979i	−0.832623	+	0.553841i	$0.813162\pi$
$20$	1.75996	−	0.471579i	0.393538	−	0.105448i
$21$	2.47060	+	3.85955i	0.539129	+	0.842223i
$22$	−3.58153	+	6.20338i	−0.763584	+	1.32257i
$23$	1.23779			0.258097			0.129048	−	0.991638i	$-0.458808\pi$
$23$	1.23779			0.258097			0.129048	+	0.991638i	$0.458808\pi$
$24$	0.301414	−	1.78034i	0.0615258	−	0.363411i
$25$	3.86712	−	2.23268i	0.773423	−	0.446536i
$26$	−3.82795	+	6.61372i	−0.750723	+	1.29706i
$27$	4.99052	−	1.44730i	0.960427	−	0.278533i
$28$	−0.318214	+	6.58523i	−0.0601369	+	1.24449i
$29$	0.0742930	−	0.0428931i	0.0137959	−	0.00796505i	−0.493086	−	0.869980i	$-0.664131\pi$
$29$	0.0742930	−	0.0428931i	0.0137959	−	0.00796505i	0.506882	+	0.862015i	$0.330798\pi$
$30$	0.252175	+	2.67227i	0.0460406	+	0.487887i
$31$	−1.75110	+	6.53521i	−0.314507	+	1.17376i	0.609940	+	0.792448i	$0.291194\pi$
$31$	−1.75110	+	6.53521i	−0.314507	+	1.17376i	−0.924447	+	0.381310i	$0.875473\pi$
$32$	−5.63199	+	5.63199i	−0.995604	+	0.995604i
$33$	−4.50990	−	3.73212i	−0.785073	−	0.649680i
$34$	−6.93438	+	6.93438i	−1.18924	+	1.18924i
$35$	−0.409922	−	1.89062i	−0.0692895	−	0.319573i
$36$	7.05905	+	2.46074i	1.17651	+	0.410123i
$37$	3.78999	−	3.78999i	0.623070	−	0.623070i	−0.323245	−	0.946315i	$-0.604774\pi$
$37$	3.78999	−	3.78999i	0.623070	−	0.623070i	0.946315	+	0.323245i	$0.104774\pi$
$38$	−6.93303	−	12.0084i	−1.12469	−	1.94801i
$39$	−4.80692	−	3.98666i	−0.769724	−	0.638377i
$40$	−0.381136	+	0.660146i	−0.0602628	+	0.104378i
$41$	11.3670	+	3.04579i	1.77523	+	0.475672i	0.989701	−	0.143148i	$-0.0457226\pi$
$41$	11.3670	+	3.04579i	1.77523	+	0.475672i	0.785532	+	0.618821i	$0.212389\pi$
$42$	−9.48666	−	2.08155i	−1.46382	−	0.321190i
$43$	−7.89663	−	4.55912i	−1.20423	−	0.695260i	−0.242734	−	0.970093i	$-0.578044\pi$
$43$	−7.89663	−	4.55912i	−1.20423	−	0.695260i	−0.961492	+	0.274833i	$0.911377\pi$
$44$	−2.17976	−	8.13497i	−0.328611	−	1.22639i
$45$	−2.18763	−	0.161349i	−0.326112	−	0.0240524i
$46$	−1.85501	+	1.85501i	−0.273506	+	0.273506i
$47$	1.11118	−	0.297740i	0.162082	−	0.0434298i	−0.176865	−	0.984235i	$-0.556596\pi$
$47$	1.11118	−	0.297740i	0.162082	−	0.0434298i	0.338948	+	0.940805i	$0.389929\pi$
$48$	−2.78293	−	3.91728i	−0.401681	−	0.565411i
$49$	6.96739	+	0.674939i	0.995341	+	0.0964198i
$50$	−2.44944	+	9.14144i	−0.346404	+	1.29280i
$51$	−4.64153	−	6.53347i	−0.649944	−	0.914869i
$52$	−2.31603	−	8.68098i	−0.321176	−	1.20384i
$53$	−0.966555	+	0.558041i	−0.132767	+	0.0766528i	−0.564912	−	0.825151i	$-0.691090\pi$
$53$	−0.966555	+	0.558041i	−0.132767	+	0.0766528i	0.432146	+	0.901804i	$0.357757\pi$
$54$	−5.31004	+	9.64803i	−0.722605	+	1.31293i
$55$	1.23562	+	2.14015i	0.166610	+	0.288578i
$56$	−1.85394	−	2.04222i	−0.247744	−	0.272903i
$57$	10.6217	−	3.94826i	1.40688	−	0.522960i
$58$	−0.0470574	+	0.175621i	−0.00617894	+	0.0230601i
$59$	0.0904502	+	0.0904502i	0.0117756	+	0.0117756i	0.712970	−	0.701194i	$-0.247350\pi$
$59$	0.0904502	+	0.0904502i	0.0117756	+	0.0117756i	−0.701194	+	0.712970i	$0.747350\pi$
$60$	−2.43132	−	2.01201i	−0.313882	−	0.259750i
$61$	0.604519	+	1.04706i	0.0774008	+	0.134062i	0.902128	−	0.431469i	$-0.142005\pi$
$61$	0.604519	+	1.04706i	0.0774008	+	0.134062i	−0.824727	+	0.565531i	$0.808671\pi$
$62$	−7.16968	−	12.4183i	−0.910551	−	1.57712i
$63$	2.97139	−	7.36009i	0.374360	−	0.927284i
$64$		−	11.3322i		−	1.41652i
$65$	1.31571	+	2.28456i	0.163193	+	0.283365i
$66$	12.3519	−	1.16562i	1.52041	−	0.143477i
$67$	7.33907	−	1.96650i	0.896610	−	0.240246i	0.219050	−	0.975714i	$-0.429704\pi$
$67$	7.33907	−	1.96650i	0.896610	−	0.240246i	0.677560	+	0.735468i	$0.263038\pi$
$68$		−	11.5302i		−	1.39824i
$69$	−1.24165	−	1.74776i	−0.149477	−	0.210406i
$70$	3.44770	+	2.21904i	0.412079	+	0.265226i
$71$	−0.179939	−	0.671543i	−0.0213549	−	0.0796975i	0.954426	−	0.298447i	$-0.0964688\pi$
$71$	−0.179939	−	0.671543i	−0.0213549	−	0.0796975i	−0.975781	+	0.218750i	$0.929802\pi$
$72$	−2.81620	+	1.36030i	−0.331893	+	0.160313i
$73$	−3.83834	−	1.02848i	−0.449244	−	0.120374i	0.0271019	−	0.999633i	$-0.491372\pi$
$73$	−3.83834	−	1.02848i	−0.449244	−	0.120374i	−0.476345	+	0.879258i	$0.658039\pi$
$74$			11.3597i			1.32054i
$75$	−7.03173	−	3.22073i	−0.811955	−	0.371898i
$76$	15.7475	+	4.21952i	1.80636	+	0.484012i
$77$	−8.73891	+	1.89476i	−0.995891	+	0.215928i
$78$	13.1785	−	1.22928i	1.49217	−	0.139189i
$79$	7.74974	−	13.4229i	0.871913	−	1.51020i	0.0118986	−	0.999929i	$-0.496212\pi$
$79$	7.74974	−	13.4229i	0.871913	−	1.51020i	0.860015	−	0.510269i	$-0.170454\pi$
$80$	0.525020	+	1.95940i	0.0586990	+	0.219068i
$81$	−7.04968	−	5.59481i	−0.783298	−	0.621646i
$82$	−21.5997	+	12.4706i	−2.38529	+	1.37715i
$83$	−4.66837	+	4.66837i	−0.512420	+	0.512420i	−0.915267	−	0.402847i	$-0.868021\pi$
$83$	−4.66837	+	4.66837i	−0.512420	+	0.512420i	0.402847	+	0.915267i	$0.368021\pi$
$84$	9.61756	−	6.15645i	1.04936	−	0.671724i
$85$	0.875658	+	3.26800i	0.0949785	+	0.354464i
$86$	18.6668	−	5.00175i	2.01289	−	0.539353i
$87$	−0.135090	−	0.0618750i	−0.0144832	−	0.00663369i
$88$	3.05136	+	1.76170i	0.325276	+	0.187798i
$89$	−8.63123	−	8.63123i	−0.914909	−	0.914909i	0.0817446	−	0.996653i	$-0.473951\pi$
$89$	−8.63123	−	8.63123i	−0.914909	−	0.914909i	−0.996653	+	0.0817446i	$0.973951\pi$
$90$	3.52029	−	3.03668i	0.371071	−	0.320094i
$91$	−9.32495	+	2.01130i	−0.977520	+	0.210842i
$92$		−	3.08443i		−	0.321574i
$93$	10.9843	−	4.08303i	1.13902	−	0.423391i
$94$	−1.21906	+	2.11147i	−0.125736	+	0.217782i
$95$	−4.78375			−0.490803
$96$	13.6019	+	2.30282i	1.38824	+	0.235031i
$97$	−7.29693	+	1.95521i	−0.740891	+	0.198521i	−0.609474	−	0.792806i	$-0.708619\pi$
$97$	−7.29693	+	1.95521i	−0.740891	+	0.198521i	−0.131417	+	0.991327i	$0.541953\pi$
$98$	−11.4531	+	9.43016i	−1.15694	+	0.952590i
$99$	−0.745794	+	10.1118i	−0.0749552	+	1.01627i
$100$	−5.56359	−	9.63642i	−0.556359	−	0.963642i
$101$	−6.10473	+	10.5737i	−0.607443	+	1.05212i	0.384217	+	0.923243i	$0.374471\pi$
$101$	−6.10473	+	10.5737i	−0.607443	+	1.05212i	−0.991660	+	0.128879i	$0.958862\pi$
$102$	16.7474	+	2.83535i	1.65824	+	0.280741i
$103$	3.29955	+	1.90500i	0.325115	+	0.187705i	0.653670	−	0.756780i	$-0.273228\pi$
$103$	3.29955	+	1.90500i	0.325115	+	0.187705i	−0.328555	+	0.944485i	$0.606562\pi$
$104$	3.25320	+	1.88292i	0.319003	+	0.184635i
$105$	−2.25835	+	2.47533i	−0.220393	+	0.241567i
$106$	0.612219	−	2.28483i	0.0594639	−	0.221922i
$107$		−	3.64738i		−	0.352606i	−0.984336	−	0.176303i	$-0.943586\pi$
$107$		−	3.64738i		−	0.352606i	0.984336	−	0.176303i	$-0.0564138\pi$
$108$	−3.60651	−	12.4358i	−0.347036	−	1.19664i
$109$	−1.85970	+	6.94049i	−0.178127	+	0.664778i	0.817871	+	0.575402i	$0.195154\pi$
$109$	−1.85970	+	6.94049i	−0.178127	+	0.664778i	−0.995998	+	0.0893768i	$0.971512\pi$
$110$	−5.05908	−	1.35558i	−0.482365	−	0.129249i
$111$	−9.15328	−	1.54966i	−0.868791	−	0.147087i
$112$	−7.33148	−	0.354275i	−0.692760	−	0.0334759i
$113$	6.52741	+	3.76860i	0.614047	+	0.354520i	0.774548	−	0.632516i	$-0.217978\pi$
$113$	6.52741	+	3.76860i	0.614047	+	0.354520i	−0.160501	+	0.987036i	$0.551311\pi$
$114$	−10.0012	+	21.8353i	−0.936696	+	2.04506i
$115$	0.234246	+	0.874220i	0.0218436	+	0.0815214i
$116$	−0.106885	−	0.185130i	−0.00992399	−	0.0171889i
$117$	−0.807256	+	10.7865i	−0.0746309	+	0.997211i
$118$	−0.271106			−0.0249573
$119$	−12.2279	−	0.590881i	−1.12093	−	0.0541660i
$120$	1.31445	−	0.124041i	0.119993	−	0.0113234i
$121$	0.366036	−	0.211331i	0.0332760	−	0.0192119i
$122$	−2.47513	−	0.663210i	−0.224088	−	0.0600442i
$123$	−7.10184	−	19.1056i	−0.640352	−	1.72269i
$124$	16.2850	+	4.36355i	1.46244	+	0.391859i
$125$	4.89387	+	4.89387i	0.437721	+	0.437721i
$126$	6.57711	+	15.4832i	0.585935	+	1.37936i
$127$	−5.30192	+	3.06106i	−0.470469	+	0.271625i	−0.716436	−	0.697653i	$-0.754228\pi$
$127$	−5.30192	+	3.06106i	−0.470469	+	0.271625i	0.245967	+	0.969278i	$0.420894\pi$
$128$	5.71896	+	5.71896i	0.505489	+	0.505489i
$129$	1.48378	+	15.7234i	0.130639	+	1.38437i
$130$	−5.39553	−	1.45197i	−0.473219	−	0.127346i
$131$	14.9487	+	8.63064i	1.30607	+	0.754062i	0.981439	−	0.191777i	$-0.0614250\pi$
$131$	14.9487	+	8.63064i	1.30607	+	0.754062i	0.324636	+	0.945839i	$0.394758\pi$
$132$	−9.30003	+	11.2382i	−0.809464	+	0.978157i
$133$	5.28184	−	16.4841i	0.457994	−	1.42935i
$134$	−8.05159	+	13.9458i	−0.695551	+	1.20473i
$135$	1.96663	+	3.25079i	0.169260	+	0.279783i
$136$	3.41093	+	3.41093i	0.292485	+	0.292485i
$137$	13.9211	+	13.9211i	1.18936	+	1.18936i	0.977244	+	0.212120i	$0.0680369\pi$
$137$	13.9211	+	13.9211i	1.18936	+	1.18936i	0.212120	+	0.977244i	$0.431963\pi$
$138$	4.48008	+	0.758481i	0.381369	+	0.0645662i
$139$	1.24639	−	2.15881i	0.105717	−	0.183108i	−0.808314	−	0.588752i	$-0.799620\pi$
$139$	1.24639	−	2.15881i	0.105717	−	0.183108i	0.914031	+	0.405644i	$0.132953\pi$
$140$	−4.71120	+	1.02148i	−0.398169	+	0.0863308i
$141$	−1.53506	−	1.27032i	−0.129275	−	0.106980i
$142$	1.27607	+	0.736740i	0.107086	+	0.0618259i
$143$	10.5598	−	6.08153i	0.883056	−	0.508563i
$144$	−2.73960	+	7.85901i	−0.228300	+	0.654917i
$145$	0.0443539	+	0.0443539i	0.00368339	+	0.00368339i
$146$	7.29364	−	4.21099i	0.603626	−	0.348504i
$147$	−6.03611	−	10.5150i	−0.497850	−	0.867263i
$148$	−9.44422	−	9.44422i	−0.776310	−	0.776310i
$149$	1.63726	+	0.438703i	0.134130	+	0.0359400i	0.325259	−	0.945625i	$-0.394548\pi$
$149$	1.63726	+	0.438703i	0.134130	+	0.0359400i	−0.191130	+	0.981565i	$0.561215\pi$
$150$	15.3648	−	5.71135i	1.25453	−	0.466329i
$151$	0.548192	+	0.146888i	0.0446113	+	0.0119536i	0.281056	−	0.959691i	$-0.409315\pi$
$151$	0.548192	+	0.146888i	0.0446113	+	0.0119536i	−0.236444	+	0.971645i	$0.575982\pi$
$152$	−5.90675	+	3.41027i	−0.479101	+	0.276609i
$153$	−4.56926	+	13.1077i	−0.369403	+	1.05970i
$154$	10.2570	−	15.9361i	0.826529	−	1.28417i
$155$	−4.94704			−0.397356
$156$	−9.93431	+	11.9783i	−0.795382	+	0.959032i
$157$	2.77084	+	4.79924i	0.221137	+	0.383021i	0.955154	−	0.296111i	$-0.0956898\pi$
$157$	2.77084	+	4.79924i	0.221137	+	0.383021i	−0.734016	+	0.679132i	$0.762356\pi$
$158$	8.50213	+	31.7304i	0.676393	+	2.52433i
$159$	1.75753	+	0.804996i	0.139381	+	0.0638403i
$160$	−5.04356	−	2.91190i	−0.398729	−	0.230206i
$161$	−3.27107	−	0.158066i	−0.257796	−	0.0124573i
$162$	18.9496	−	2.18034i	1.48882	−	0.171303i
$163$	3.90119	+	1.04532i	0.305564	+	0.0818757i	0.408343	−	0.912829i	$-0.366107\pi$
$163$	3.90119	+	1.04532i	0.305564	+	0.0818757i	−0.102779	+	0.994704i	$0.532773\pi$
$164$	7.58976	−	28.3254i	0.592661	−	2.21184i
$165$	1.78243	−	3.89152i	0.138762	−	0.302954i
$166$		−	13.9925i		−	1.08603i
$167$	−2.07644	+	7.74939i	−0.160680	+	0.599666i	0.837872	+	0.545867i	$0.183800\pi$
$167$	−2.07644	+	7.74939i	−0.160680	+	0.599666i	−0.998552	+	0.0537988i	$0.982867\pi$
$168$	−1.02389	+	4.66636i	−0.0789945	+	0.360018i
$169$	11.2723	−	6.47570i	0.867102	−	0.498131i
$170$	−6.20988	−	3.58528i	−0.476276	−	0.274978i
$171$	−16.2298	−	11.0373i	−1.24113	−	0.844045i
$172$	−11.3608	+	19.6775i	−0.866254	+	1.50040i
$173$	−8.47934	−	14.6866i	−0.644672	−	1.11660i	−0.984377	−	0.176073i	$-0.943661\pi$
$173$	−8.47934	−	14.6866i	−0.644672	−	1.11660i	0.339705	−	0.940532i	$-0.389673\pi$
$174$	0.295181	−	0.109723i	0.0223776	−	0.00831811i
$175$	−10.5046	+	5.40640i	−0.794075	+	0.408686i
$176$	9.05684	−	2.42677i	0.682685	−	0.182925i
$177$	0.0369835	−	0.218448i	0.00277985	−	0.0164196i
$178$	25.8703			1.93906
$179$	11.0600	−	19.1564i	0.826662	−	1.43182i	−0.0739812	−	0.997260i	$-0.523570\pi$
$179$	11.0600	−	19.1564i	0.826662	−	1.43182i	0.900643	−	0.434560i	$-0.143096\pi$
$180$	−0.402063	+	5.45132i	−0.0299680	+	0.406317i
$181$		−	10.2313i		−	0.760484i	−0.924887	−	0.380242i	$-0.875841\pi$
$181$		−	10.2313i		−	0.760484i	0.924887	−	0.380242i	$-0.124159\pi$
$182$	10.9606	−	16.9890i	0.812452	−	1.25931i
$183$	0.872043	−	1.90391i	0.0644633	−	0.140741i
$184$	0.912455	+	0.912455i	0.0672671	+	0.0672671i
$185$	3.39401	+	1.95953i	0.249533	+	0.144068i
$186$	−10.3426	+	22.5806i	−0.758353	+	1.65569i
$187$	15.1055	−	4.04751i	1.10463	−	0.295984i
$188$	−0.741934	−	2.76893i	−0.0541111	−	0.201945i
$189$	−13.3731	+	3.18744i	−0.972751	+	0.231852i
$190$	7.16916	−	7.16916i	0.520105	−	0.520105i
$191$	−18.8520	+	10.8842i	−1.36408	+	0.787552i	−0.990164	−	0.139911i	$-0.955318\pi$
$191$	−18.8520	+	10.8842i	−1.36408	+	0.787552i	−0.373916	+	0.927463i	$0.621985\pi$
$192$	−16.0011	+	11.3675i	−1.15478	+	0.820381i
$193$	0.977573	+	3.64835i	0.0703673	+	0.262614i	0.992143	−	0.125109i	$-0.0399282\pi$
$193$	0.977573	+	3.64835i	0.0703673	+	0.262614i	−0.921776	+	0.387724i	$0.873262\pi$
$194$	8.00536	−	13.8657i	0.574752	−	0.995499i
$195$	1.90599	−	4.14947i	0.136491	−	0.297150i
$196$	1.68187	−	17.3619i	0.120134	−	1.24014i
$197$	−17.8050	−	4.77082i	−1.26855	−	0.339907i	−0.439075	−	0.898450i	$-0.644694\pi$
$197$	−17.8050	−	4.77082i	−1.26855	−	0.339907i	−0.829475	+	0.558543i	$0.811360\pi$
$198$	−14.0363	−	16.2716i	−0.997515	−	1.15638i
$199$			25.8677i			1.83371i	0.399216	+	0.916857i	$0.369282\pi$
$199$			25.8677i			1.83371i	−0.399216	+	0.916857i	$0.630718\pi$
$200$	4.49655	+	1.20485i	0.317954	+	0.0851956i
$201$	−10.1387	−	8.39015i	−0.715126	−	0.591795i
$202$	−6.69741	−	24.9951i	−0.471228	−	1.75865i
$203$	−0.201809	+	0.103865i	−0.0141642	+	0.00728989i
$204$	−16.2807	+	11.5662i	−1.13987	+	0.809794i
$205$			8.60466i			0.600975i
$206$	−7.79979	+	2.08995i	−0.543437	+	0.145613i
$207$	−1.22232	+	3.50643i	−0.0849570	+	0.243714i
$208$	9.66474	−	2.57849i	0.670129	−	0.178786i
$209$			22.1117i			1.52950i
$210$	−0.325165	−	7.09412i	−0.0224385	−	0.489541i
$211$	7.09306	+	12.2855i	0.488307	+	0.845772i	0.999910	−	0.0134501i	$-0.00428143\pi$
$211$	7.09306	+	12.2855i	0.488307	+	0.845772i	−0.511603	+	0.859222i	$0.670948\pi$
$212$	1.39057	+	2.40855i	0.0955050	+	0.165420i
$213$	−0.767719	+	0.927713i	−0.0526033	+	0.0635658i
$214$	5.46614	+	5.46614i	0.373658	+	0.373658i
$215$	1.72559	−	6.43999i	0.117684	−	0.439204i
$216$	4.74574	+	2.61194i	0.322906	+	0.177720i
$217$	5.46213	−	17.0468i	0.370794	−	1.15721i
$218$	−7.61431	−	13.1884i	−0.515706	−	0.893230i
$219$	2.39810	+	6.45143i	0.162048	+	0.435947i
$220$	5.33301	−	3.07902i	0.359552	−	0.207587i
$221$	16.1194	−	4.30056i	1.08431	−	0.289287i
$222$	16.0399	−	11.3951i	1.07653	−	0.764792i
$223$	2.87666	−	10.7358i	0.192635	−	0.718924i	−0.800231	−	0.599692i	$-0.795290\pi$
$223$	2.87666	−	10.7358i	0.192635	−	0.718924i	0.992866	−	0.119233i	$-0.0380434\pi$
$224$	15.6027	−	14.1643i	1.04250	−	0.946390i
$225$	2.50599	+	13.1596i	0.167066	+	0.877307i
$226$	−15.4301	+	4.13448i	−1.02639	+	0.275021i
$227$	−1.40183	+	1.40183i	−0.0930428	+	0.0930428i	−0.752096	−	0.659053i	$-0.770957\pi$
$227$	−1.40183	+	1.40183i	−0.0930428	+	0.0930428i	0.659053	+	0.752096i	$0.270957\pi$
$228$	−9.83863	−	26.4681i	−0.651579	−	1.75290i
$229$	−3.92459	−	14.6468i	−0.259344	−	0.967885i	−0.965622	−	0.259950i	$-0.916294\pi$
$229$	−3.92459	−	14.6468i	−0.259344	−	0.967885i	0.706278	−	0.707934i	$-0.250373\pi$
$230$	−1.66120	−	0.959094i	−0.109536	−	0.0632408i
$231$	11.4416	+	10.4387i	0.752801	+	0.686815i
$232$	0.0863854	+	0.0231469i	0.00567148	+	0.00151967i
$233$	−10.4655	+	18.1268i	−0.685619	+	1.18753i	0.287623	+	0.957744i	$0.407135\pi$
$233$	−10.4655	+	18.1268i	−0.685619	+	1.18753i	−0.973242	+	0.229783i	$0.926198\pi$
$234$	−14.9553	−	17.3749i	−0.977662	−	1.13583i
$235$	0.420572	+	0.728452i	0.0274351	+	0.0475190i
$236$	0.225392	−	0.225392i	0.0146717	−	0.0146717i
$237$	−26.7271	+	2.52217i	−1.73611	+	0.163833i
$238$	19.2108	−	17.4397i	1.24525	−	1.13045i
$239$	15.0244	−	15.0244i	0.971849	−	0.971849i	−0.0277652	−	0.999614i	$-0.508839\pi$
$239$	15.0244	−	15.0244i	0.971849	−	0.971849i	0.999614	+	0.0277652i	$0.00883906\pi$
$240$	2.24002	−	2.70684i	0.144593	−	0.174726i
$241$	−5.83002	+	5.83002i	−0.375545	+	0.375545i	−0.869492	−	0.493947i	$-0.835554\pi$
$241$	−5.83002	+	5.83002i	−0.375545	+	0.375545i	0.493947	+	0.869492i	$0.335554\pi$
$242$	−0.231849	+	0.865270i	−0.0149038	+	0.0556217i
$243$	−0.828212	+	15.5664i	−0.0531298	+	0.998588i
$244$	2.60915	−	1.50639i	0.167034	−	0.0964370i
$245$	0.841856	+	5.04862i	0.0537842	+	0.322544i
$246$	39.2757	+	17.9894i	2.50413	+	1.14696i
$247$	−0.0254408	+	23.5890i	−0.00161876	+	1.50093i
$248$	−6.10837	+	3.52667i	−0.387882	+	0.223944i
$249$	11.2747	+	1.90881i	0.714504	+	0.120966i
$250$	−14.6684			−0.927709
$251$	9.58699	−	16.6052i	0.605126	−	1.04811i	−0.386906	−	0.922119i	$-0.626456\pi$
$251$	9.58699	−	16.6052i	0.605126	−	1.04811i	0.992032	−	0.125989i	$-0.0402105\pi$
$252$	−18.3405	−	7.40436i	−1.15534	−	0.466431i
$253$	4.04086	−	1.08275i	0.254047	−	0.0680717i
$254$	3.35825	−	12.5332i	0.210715	−	0.786400i
$255$	3.73603	−	4.51463i	0.233960	−	0.282717i
$256$	5.52295			0.345184
$257$	6.33686			0.395283			0.197641	−	0.980274i	$-0.436672\pi$
$257$	6.33686			0.395283			0.197641	+	0.980274i	$0.436672\pi$
$258$	−25.7875	−	21.3402i	−1.60546	−	1.32858i
$259$	−10.4997	+	9.53169i	−0.652417	+	0.592271i
$260$	5.69286	−	3.27859i	0.353056	−	0.203330i
$261$	0.0481438	+	0.252815i	0.00298003	+	0.0156489i
$262$	−35.3371	+	9.46855i	−2.18313	+	0.584969i
$263$	−21.0813	−	12.1713i	−1.29993	−	0.750514i	−0.319537	−	0.947574i	$-0.603527\pi$
$263$	−21.0813	−	12.1713i	−1.29993	−	0.750514i	−0.980392	+	0.197060i	$0.936861\pi$
$264$	−0.573351	−	6.07573i	−0.0352873	−	0.373935i
$265$	−0.577047	−	0.577047i	−0.0354477	−	0.0354477i
$266$	16.7882	+	32.6195i	1.02935	+	2.00003i
$267$	−3.52916	+	20.8455i	−0.215981	+	1.27572i
$268$	−4.90029	−	18.2881i	−0.299333	−	1.11712i
$269$		−	10.9722i		−	0.668985i	−0.942398	−	0.334493i	$-0.891435\pi$
$269$		−	10.9722i		−	0.668985i	0.942398	−	0.334493i	$-0.108565\pi$
$270$	−7.81906	−	1.92450i	−0.475853	−	0.117121i
$271$	−5.74281	+	5.74281i	−0.348851	+	0.348851i	−0.859681	−	0.510831i	$-0.829338\pi$
$271$	−5.74281	+	5.74281i	−0.348851	+	0.348851i	0.510831	+	0.859681i	$0.329338\pi$
$272$	12.8368			0.778347
$273$	12.1940	+	11.1493i	0.738015	+	0.674785i
$274$	−41.7258			−2.52075
$275$	10.6715	−	10.6715i	0.643515	−	0.643515i
$276$	−4.35522	+	3.09405i	−0.262154	+	0.186240i
$277$		−	0.443387i		−	0.0266406i	−0.999911	−	0.0133203i	$-0.995760\pi$
$277$		−	0.443387i		−	0.0266406i	0.999911	−	0.0133203i	$-0.00424010\pi$
$278$	1.36739	+	5.10318i	0.0820108	+	0.306069i
$279$	−16.7838	−	11.4141i	−1.00482	−	0.683343i
$280$	1.09152	−	1.69588i	0.0652305	−	0.101348i
$281$	−9.34921	−	9.34921i	−0.557727	−	0.557727i	0.370933	−	0.928660i	$-0.379038\pi$
$281$	−9.34921	−	9.34921i	−0.557727	−	0.557727i	−0.928660	+	0.370933i	$0.879038\pi$
$282$	4.20427	−	0.396746i	0.250361	−	0.0236259i
$283$	−8.16911	−	4.71644i	−0.485603	−	0.280363i	0.237145	−	0.971474i	$-0.423788\pi$
$283$	−8.16911	−	4.71644i	−0.485603	−	0.280363i	−0.722749	+	0.691111i	$0.757122\pi$
$284$	−1.67341	+	0.448389i	−0.0992985	+	0.0266070i
$285$	4.79868	+	6.75467i	0.284249	+	0.400112i
$286$	−6.71136	+	24.9395i	−0.396851	+	1.47470i
$287$	−29.6504	−	9.50058i	−1.75021	−	0.560802i
$288$	−10.3928	−	21.5160i	−0.612401	−	1.26784i
$289$	4.41001			0.259412
$290$	−0.132942			−0.00780661
$291$	10.0805	+	8.34198i	0.590927	+	0.489015i
$292$	−2.56285	+	9.56470i	−0.149980	+	0.559732i
$293$	−3.23244	+	0.866128i	−0.188841	+	0.0505998i	−0.352000	−	0.936000i	$-0.614498\pi$
$293$	−3.23244	+	0.866128i	−0.188841	+	0.0505998i	0.163159	+	0.986600i	$0.447832\pi$
$294$	24.8043	+	6.71229i	1.44662	+	0.391469i
$295$	−0.0467654	+	0.0810000i	−0.00272279	+	0.00471600i
$296$	5.58769			0.324778
$297$	15.0260	−	9.09025i	0.871894	−	0.527470i
$298$	−3.11114	+	1.79622i	−0.180223	+	0.104052i
$299$	4.31209	−	1.15044i	0.249374	−	0.0665315i
$300$	−8.02570	+	17.5223i	−0.463364	+	1.01165i
$301$	20.2860	+	13.0567i	1.16926	+	0.752573i
$302$	−1.04168	+	0.601414i	−0.0599419	+	0.0346075i
$303$	21.0539	−	1.98680i	1.20951	−	0.114139i
$304$	−4.69769	+	17.5320i	−0.269431	+	1.00553i
$305$	−0.625108	+	0.625108i	−0.0357936	+	0.0357936i
$306$	−12.7961	−	26.4915i	−0.731505	−	1.51442i
$307$	3.71140	−	3.71140i	0.211821	−	0.211821i	−0.593220	−	0.805041i	$-0.702143\pi$
$307$	3.71140	−	3.71140i	0.211821	−	0.211821i	0.805041	+	0.593220i	$0.202143\pi$
$308$	4.72154	+	21.7764i	0.269035	+	1.24082i
$309$	−0.619986	−	6.56992i	−0.0352698	−	0.373750i
$310$	7.41387	−	7.41387i	0.421080	−	0.421080i
$311$	−7.27077	−	12.5933i	−0.412288	−	0.714103i	0.582852	−	0.812578i	$-0.301937\pi$
$311$	−7.27077	−	12.5933i	−0.412288	−	0.714103i	−0.995140	+	0.0984752i	$0.968603\pi$
$312$	−0.604667	−	6.48232i	−0.0342325	−	0.366989i
$313$	−5.16579	+	8.94742i	−0.291988	+	0.505738i	−0.974280	−	0.225342i	$-0.927650\pi$
$313$	−5.16579	+	8.94742i	−0.291988	+	0.505738i	0.682292	+	0.731080i	$0.260983\pi$
$314$	−11.3449	−	3.03985i	−0.640228	−	0.171549i
$315$	5.76057	+	0.705751i	0.324571	+	0.0397646i
$316$	−33.4484	−	19.3115i	−1.88162	−	1.08635i
$317$	−6.76020	−	25.2294i	−0.379691	−	1.41703i	−0.846368	−	0.532598i	$-0.821216\pi$
$317$	−6.76020	−	25.2294i	−0.379691	−	1.41703i	0.466678	−	0.884428i	$-0.345451\pi$
$318$	−3.84032	+	1.42751i	−0.215354	+	0.0800505i
$319$	0.205015	−	0.205015i	0.0114786	−	0.0114786i
$320$	8.00363	−	2.14457i	0.447417	−	0.119885i
$321$	−5.15011	+	3.65876i	−0.287451	+	0.204212i
$322$	5.13906	−	4.66529i	0.286389	−	0.259986i
$323$	−7.83508	+	29.2409i	−0.435955	+	1.62701i
$324$	−13.9416	+	17.5670i	−0.774536	+	0.975945i
$325$	11.3968	−	11.3722i	0.632178	−	0.630816i
$326$	−7.41307	+	4.27994i	−0.410572	+	0.237044i
$327$	11.6655	−	4.33624i	0.645103	−	0.239795i
$328$	6.13413	+	10.6246i	0.338701	+	0.586647i
$329$	−2.97450	+	0.644929i	−0.163990	+	0.0355561i
$330$	3.16079	+	8.50324i	0.173996	+	0.468088i
$331$	1.17988	−	4.40338i	0.0648523	−	0.242032i	−0.925889	−	0.377796i	$-0.876682\pi$
$331$	1.17988	−	4.40338i	0.0648523	−	0.242032i	0.990741	+	0.135764i	$0.0433488\pi$
$332$	11.6331	+	11.6331i	0.638447	+	0.638447i
$333$	6.99372	+	14.4789i	0.383253	+	0.793441i
$334$	−8.50175	−	14.7255i	−0.465195	−	0.805741i
$335$	2.77777	+	4.81125i	0.151766	+	0.262867i
$336$	6.85412	+	10.7075i	0.373923	+	0.584139i
$337$			23.2811i			1.26820i	0.773250	+	0.634102i	$0.218630\pi$
$337$			23.2811i			1.26820i	−0.773250	+	0.634102i	$0.781370\pi$
$338$	−7.18845	+	26.5980i	−0.391000	+	1.44674i
$339$	−1.22650	−	12.9971i	−0.0666143	−	0.705904i
$340$	8.14349	−	2.18204i	0.441643	−	0.118338i
$341$			22.8665i			1.23829i
$342$	40.8638	−	7.78173i	2.20966	−	0.420788i
$343$	−18.3263	−	2.67337i	−0.989527	−	0.144349i
$344$	−2.46029	−	9.18194i	−0.132650	−	0.495057i
$345$	0.999423	−	1.20770i	0.0538071	−	0.0650206i
$346$	34.7176	+	9.30256i	1.86643	+	0.500109i
$347$		−	20.6263i		−	1.10728i	−0.832757	−	0.553639i	$-0.813239\pi$
$347$		−	20.6263i		−	1.10728i	0.832757	−	0.553639i	$-0.186761\pi$
$348$	−0.154185	+	0.336629i	−0.00826521	+	0.0180452i
$349$	17.9128	+	4.79971i	0.958849	+	0.256923i	0.704113	−	0.710088i	$-0.251345\pi$
$349$	17.9128	+	4.79971i	0.958849	+	0.256923i	0.254736	+	0.967011i	$0.418011\pi$
$350$	7.64043	−	23.8450i	0.408398	−	1.27457i
$351$	16.0403	−	9.68029i	0.856169	−	0.516696i
$352$	−13.4595	+	23.3126i	−0.717396	+	1.24257i
$353$	6.48087	+	24.1869i	0.344942	+	1.28734i	0.892680	+	0.450691i	$0.148822\pi$
$353$	6.48087	+	24.1869i	0.344942	+	1.28734i	−0.547738	+	0.836650i	$0.684511\pi$
$354$	0.271952	+	0.382802i	0.0144541	+	0.0203457i
$355$	0.440241	−	0.254173i	0.0233656	−	0.0134901i
$356$	−21.5081	+	21.5081i	−1.13992	+	1.13992i
$357$	11.4317	+	17.8585i	0.605030	+	0.945173i
$358$	12.1337	+	45.2838i	0.641288	+	2.39332i
$359$	5.13386	−	1.37561i	0.270955	−	0.0726021i	−0.120783	−	0.992679i	$-0.538541\pi$
$359$	5.13386	−	1.37561i	0.270955	−	0.0726021i	0.391738	+	0.920077i	$0.371874\pi$
$360$	−1.49370	−	1.73158i	−0.0787249	−	0.0912624i
$361$	−20.6143	−	11.9017i	−1.08496	−	0.626403i
$362$	15.3331	+	15.3331i	0.805887	+	0.805887i
$363$	−0.665579	−	0.304854i	−0.0349338	−	0.0160007i
$364$	5.01194	+	23.2367i	0.262697	+	1.21793i
$365$		−	2.90556i		−	0.152084i
$366$	1.54640	+	4.16017i	0.0808317	+	0.217456i
$367$	3.04387	−	5.27213i	0.158889	−	0.275203i	−0.775580	−	0.631250i	$-0.782542\pi$
$367$	3.04387	−	5.27213i	0.158889	−	0.275203i	0.934468	+	0.356047i	$0.115876\pi$
$368$	3.43397			0.179008
$369$	−19.8531	+	29.1930i	−1.03351	+	1.51973i
$370$	−8.02308	+	2.14978i	−0.417100	+	0.111762i
$371$	2.62555	−	1.35129i	0.136312	−	0.0701553i
$372$	−10.1745	−	27.3716i	−0.527521	−	1.41915i
$373$	−4.52998	−	7.84616i	−0.234553	−	0.406259i	0.724589	−	0.689181i	$-0.242029\pi$
$373$	−4.52998	−	7.84616i	−0.234553	−	0.406259i	−0.959143	+	0.282922i	$0.908696\pi$
$374$	−16.5721	+	28.7037i	−0.856921	+	1.48423i
$375$	2.00102	−	11.8193i	0.103332	−	0.610345i
$376$	1.03861	+	0.599639i	0.0535620	+	0.0309240i
$377$	0.218948	−	0.218477i	0.0112764	−	0.0112521i
$378$	15.2647	−	24.8184i	0.785133	−	1.27652i
$379$	8.65669	−	32.3072i	0.444664	−	1.65951i	−0.272158	−	0.962253i	$-0.587737\pi$
$379$	8.65669	−	32.3072i	0.444664	−	1.65951i	0.716822	−	0.697256i	$-0.245596\pi$
$380$			11.9206i			0.611512i
$381$	9.64068	+	4.41570i	0.493907	+	0.226223i
$382$	11.9409	−	44.5640i	0.610949	−	2.28009i
$383$	−32.7748	−	8.78199i	−1.67471	−	0.448738i	−0.708339	−	0.705872i	$-0.750555\pi$
$383$	−32.7748	−	8.78199i	−1.67471	−	0.448738i	−0.966376	+	0.257134i	$0.917222\pi$
$384$	2.33838	−	13.8120i	0.119330	−	0.704840i
$385$	−2.99203	−	5.81349i	−0.152488	−	0.296283i
$386$	−6.93263	−	4.00256i	−0.352862	−	0.203725i
$387$	20.7131	−	17.8676i	1.05291	−	0.908260i
$388$	4.87216	+	18.1831i	0.247346	+	0.923109i
$389$	−10.6989	−	18.5310i	−0.542455	−	0.939559i	−0.998762	−	0.0497371i	$-0.984162\pi$
$389$	−10.6989	−	18.5310i	−0.542455	−	0.939559i	0.456308	−	0.889822i	$-0.349172\pi$
$390$	3.36218	+	9.07500i	0.170251	+	0.459530i
$391$	5.72737			0.289646
$392$	4.63857	+	5.63365i	0.234283	+	0.284542i
$393$	−2.80886	−	29.7652i	−0.141688	−	1.50145i
$394$	33.8331	−	19.5336i	1.70449	−	0.984087i
$395$	10.9469	+	2.93321i	0.550798	+	0.147586i
$396$	25.1974	+	1.85844i	1.26622	+	0.0933899i
$397$	16.7692	+	4.49328i	0.841620	+	0.225511i	0.653777	−	0.756688i	$-0.273184\pi$
$397$	16.7692	+	4.49328i	0.841620	+	0.225511i	0.187843	+	0.982199i	$0.439850\pi$
$398$	−38.7666	−	38.7666i	−1.94319	−	1.94319i
$399$	−28.5739	+	9.07755i	−1.43048	+	0.454446i
$400$	10.7284	−	6.19407i	0.536422	−	0.309703i
$401$	−11.4524	−	11.4524i	−0.571905	−	0.571905i	0.360755	−	0.932660i	$-0.382519\pi$
$401$	−11.4524	−	11.4524i	−0.571905	−	0.571905i	−0.932660	+	0.360755i	$0.882519\pi$
$402$	27.7681	−	2.62041i	1.38495	−	0.130694i
$403$	−0.0263092	+	24.3942i	−0.00131055	+	1.21516i
$404$	26.3484	+	15.2123i	1.31088	+	0.756839i
$405$	2.61735	−	6.03781i	0.130057	−	0.300021i
$406$	0.146784	−	0.458098i	0.00728476	−	0.0227350i
$407$	9.05746	−	15.6880i	0.448962	−	0.777624i
$408$	1.39467	−	8.23781i	0.0690464	−	0.407833i
$409$	−20.9626	−	20.9626i	−1.03653	−	1.03653i	−0.999307	−	0.0372265i	$-0.988148\pi$
$409$	−20.9626	−	20.9626i	−1.03653	−	1.03653i	−0.0372265	−	0.999307i	$-0.511852\pi$
$410$	−12.8953	−	12.8953i	−0.636856	−	0.636856i
$411$	5.69211	−	33.6213i	0.280771	−	1.65841i
$412$	4.74704	−	8.22211i	0.233870	−	0.405075i
$413$	−0.227479	−	0.250580i	−0.0111935	−	0.0123303i
$414$	−3.42308	−	7.08672i	−0.168235	−	0.348294i
$415$	−4.18062	−	2.41368i	−0.205219	−	0.118483i
$416$	−14.3856	+	24.8547i	−0.705313	+	1.21860i
$417$	−4.29852	+	0.405640i	−0.210499	+	0.0198643i
$418$	−33.1377	−	33.1377i	−1.62082	−	1.62082i
$419$	6.66420	−	3.84758i	0.325567	−	0.187966i	−0.328304	−	0.944572i	$-0.606477\pi$
$419$	6.66420	−	3.84758i	0.325567	−	0.187966i	0.653871	+	0.756606i	$0.273144\pi$
$420$	6.16823	+	5.62756i	0.300979	+	0.274597i
$421$	−18.0124	−	18.0124i	−0.877871	−	0.877871i	0.115443	−	0.993314i	$-0.463171\pi$
$421$	−18.0124	−	18.0124i	−0.877871	−	0.877871i	−0.993314	+	0.115443i	$0.963171\pi$
$422$	−29.0417	−	7.78170i	−1.41373	−	0.378807i
$423$	−0.253849	+	3.44179i	−0.0123426	+	0.167345i
$424$	−1.12388	−	0.301142i	−0.0545803	−	0.0146248i
$425$	17.8935	−	10.3308i	0.867963	−	0.501119i
$426$	−0.239774	−	2.54085i	−0.0116171	−	0.123105i
$427$	−1.46383	−	2.84422i	−0.0708399	−	0.137642i
$428$	−9.08887			−0.439327
$429$	−19.1799	−	8.80997i	−0.926014	−	0.425349i
$430$	7.06522	+	12.2373i	0.340715	+	0.590136i
$431$	6.35822	+	23.7292i	0.306265	+	1.14299i	0.931851	+	0.362840i	$0.118193\pi$
$431$	6.35822	+	23.7292i	0.306265	+	1.14299i	−0.625587	+	0.780155i	$0.715140\pi$
$432$	13.8451	−	4.01521i	0.666122	−	0.193182i
$433$	29.7044	+	17.1498i	1.42750	+	0.824168i	0.996923	−	0.0783862i	$-0.0249767\pi$
$433$	29.7044	+	17.1498i	1.42750	+	0.824168i	0.430577	+	0.902554i	$0.358310\pi$
$434$	17.3613	+	33.7329i	0.833368	+	1.61923i
$435$	0.0181355	−	0.107120i	0.000869533	−	0.00513602i
$436$	17.2949	+	4.63416i	0.828276	+	0.221936i
$437$	−2.09595	+	7.82221i	−0.100263	+	0.374187i
$438$	−13.2623	−	6.07452i	−0.633698	−	0.290252i
$439$			17.0630i			0.814370i	0.913346	+	0.407185i	$0.133490\pi$
$439$			17.0630i			0.814370i	−0.913346	+	0.407185i	$0.866510\pi$
$440$	−0.666790	+	2.48850i	−0.0317880	+	0.118634i
$441$	−8.79227	+	19.0708i	−0.418680	+	0.908134i
$442$	−17.7123	+	30.6023i	−0.842488	+	1.45560i
$443$	14.6489	+	8.45757i	0.695992	+	0.401831i	0.805853	−	0.592116i	$-0.201707\pi$
$443$	14.6489	+	8.45757i	0.695992	+	0.401831i	−0.109861	+	0.993947i	$0.535041\pi$
$444$	−3.86157	+	22.8089i	−0.183262	+	1.08246i
$445$	4.46260	−	7.72945i	0.211547	−	0.366411i
$446$	11.7781	+	20.4003i	0.557710	+	0.965983i
$447$	−1.02292	−	2.75189i	−0.0483825	−	0.130160i
$448$	−1.44712	+	29.9472i	−0.0683701	+	1.41487i
$449$	5.19161	−	1.39109i	0.245007	−	0.0656495i	−0.134226	−	0.990951i	$-0.542855\pi$
$449$	5.19161	−	1.39109i	0.245007	−	0.0656495i	0.379233	+	0.925301i	$0.376188\pi$
$450$	−23.4772	−	15.9660i	−1.10673	−	0.752645i
$451$	39.7729			1.87283
$452$	9.39092	−	16.2656i	0.441712	−	0.765067i
$453$	−0.342497	−	0.921395i	−0.0160919	−	0.0432909i
$454$		−	4.20170i		−	0.197196i
$455$	−3.18524	−	6.20535i	−0.149326	−	0.290911i
$456$	10.7405	+	4.91944i	0.502969	+	0.230374i
$457$	16.7676	+	16.7676i	0.784354	+	0.784354i	0.980562	−	0.196208i	$-0.0628628\pi$
$457$	16.7676	+	16.7676i	0.784354	+	0.784354i	−0.196208	+	0.980562i	$0.562863\pi$
$458$	27.8319	+	16.0687i	1.30050	+	0.750843i
$459$	23.0916	−	6.69679i	1.07782	−	0.312580i
$460$	2.17846	−	0.583716i	0.101571	−	0.0272159i
$461$	8.82574	+	32.9381i	0.411056	+	1.53408i	0.792607	+	0.609733i	$0.208723\pi$
$461$	8.82574	+	32.9381i	0.411056	+	1.53408i	−0.381551	+	0.924348i	$0.624610\pi$
$462$	−32.7908	+	1.50300i	−1.52557	+	0.0699257i
$463$	−17.8769	+	17.8769i	−0.830809	+	0.830809i	−0.987627	−	0.156819i	$-0.949876\pi$
$463$	−17.8769	+	17.8769i	−0.830809	+	0.830809i	0.156819	+	0.987627i	$0.449876\pi$
$464$	0.206109	−	0.118997i	0.00956838	−	0.00552430i
$465$	4.96248	+	6.98523i	0.230129	+	0.323932i
$466$	−11.4816	−	42.8498i	−0.531874	−	1.98498i
$467$	2.68938	−	4.65814i	0.124450	−	0.215553i	−0.797068	−	0.603889i	$-0.793617\pi$
$467$	2.68938	−	4.65814i	0.124450	−	0.215553i	0.921518	+	0.388336i	$0.126950\pi$
$468$	26.8787	+	2.01159i	1.24247	+	0.0929858i
$469$	−19.6458	+	4.25960i	−0.907160	+	0.196690i
$470$	−1.72198	−	0.461404i	−0.0794291	−	0.0212830i
$471$	3.99705	−	8.72664i	0.184174	−	0.402103i
$472$			0.133353i			0.00613809i
$473$	−29.7673	−	7.97611i	−1.36870	−	0.366742i
$474$	36.2747	−	43.8344i	1.66615	−	2.01338i
$475$	7.56122	+	28.2188i	0.346932	+	1.29477i
$476$	−1.47241	+	30.4705i	−0.0674877	+	1.39661i
$477$	−0.626353	−	3.28914i	−0.0286787	−	0.150599i
$478$			45.0326i			2.05974i
$479$	−39.8136	+	10.6680i	−1.81913	+	0.487435i	−0.996681	−	0.0814037i	$-0.974060\pi$
$479$	−39.8136	+	10.6680i	−1.81913	+	0.487435i	−0.822449	+	0.568838i	$0.807393\pi$
$480$	0.947685	+	10.0425i	0.0432557	+	0.458376i
$481$	9.68065	−	16.7257i	0.441400	−	0.762626i
$482$		−	17.4743i		−	0.795932i
$483$	3.05808	+	4.77731i	0.139148	+	0.217375i
$484$	−0.526614	−	0.912121i	−0.0239370	−	0.0414601i
$485$	−2.76183	−	4.78363i	−0.125408	−	0.217213i
$486$	−22.0874	−	24.5698i	−1.00190	−	1.11451i
$487$	−21.7024	−	21.7024i	−0.983428	−	0.983428i	0.0164372	−	0.999865i	$-0.494768\pi$
$487$	−21.7024	−	21.7024i	−0.983428	−	0.983428i	−0.999865	+	0.0164372i	$0.994768\pi$
$488$	−0.326224	+	1.21748i	−0.0147675	+	0.0551129i
$489$	−2.43736	−	6.55706i	−0.110221	−	0.296521i
$490$	−8.82774	−	6.30445i	−0.398797	−	0.284806i
$491$	6.96387	+	12.0618i	0.314275	+	0.544340i	0.979283	−	0.202496i	$-0.0649053\pi$
$491$	6.96387	+	12.0618i	0.314275	+	0.544340i	−0.665008	+	0.746836i	$0.731572\pi$
$492$	−47.6089	+	17.6970i	−2.14638	+	0.797842i
$493$	0.343761	−	0.198470i	0.0154822	−	0.00893866i
$494$	−35.3135	−	35.3898i	−1.58883	−	1.59226i
$495$	−7.28282	+	1.38687i	−0.327339	+	0.0623353i
$496$	−4.85804	+	18.1305i	−0.218132	+	0.814082i
$497$	0.389764	+	1.79764i	0.0174833	+	0.0806353i
$498$	−19.7574	+	14.0361i	−0.885351	+	0.628974i
$499$	0.520510	−	0.139470i	0.0233012	−	0.00624355i	−0.247150	−	0.968977i	$-0.579494\pi$
$499$	0.520510	−	0.139470i	0.0233012	−	0.00624355i	0.270451	+	0.962734i	$0.412827\pi$
$500$	12.1950	−	12.1950i	0.545375	−	0.545375i
$501$	13.0251	−	4.84163i	0.581917	−	0.216308i
$502$	10.5178	+	39.2528i	0.469430	+	1.75194i
$503$	5.22046	+	3.01403i	0.232769	+	0.134389i	0.611849	−	0.790975i	$-0.290426\pi$
$503$	5.22046	+	3.01403i	0.232769	+	0.134389i	−0.379080	+	0.925364i	$0.623759\pi$
$504$	7.61600	−	3.23519i	0.339243	−	0.144107i
$505$	−8.62323	−	2.31059i	−0.383729	−	0.102820i
$506$	−4.43318	+	7.67849i	−0.197079	+	0.341350i
$507$	−20.4512	−	9.42064i	−0.908270	−	0.418385i
$508$	7.62782	+	13.2118i	0.338430	+	0.586178i
$509$	5.82687	−	5.82687i	0.258272	−	0.258272i	−0.566079	−	0.824351i	$-0.691540\pi$
$509$	5.82687	−	5.82687i	0.258272	−	0.258272i	0.824351	+	0.566079i	$0.191540\pi$
$510$	1.16684	+	12.3648i	0.0516684	+	0.547524i
$511$	10.0121	+	3.20809i	0.442910	+	0.141917i
$512$	−19.7149	+	19.7149i	−0.871282	+	0.871282i
$513$	0.695734	+	33.9883i	0.0307174	+	1.50062i
$514$	−9.49672	+	9.49672i	−0.418882	+	0.418882i
$515$	−0.721026	+	2.69091i	−0.0317722	+	0.118575i
$516$	39.1810	−	3.69741i	1.72485	−	0.162769i
$517$	3.36709	−	1.94399i	0.148084	−	0.0854966i
$518$	1.45064	−	30.0199i	0.0637373	−	1.31900i
$519$	−12.2318	+	26.7053i	−0.536915	+	1.17223i
$520$	−0.714203	+	2.65399i	−0.0313199	+	0.116385i
$521$	1.69103	−	0.976318i	0.0740855	−	0.0427733i	−0.462500	−	0.886619i	$-0.653047\pi$
$521$	1.69103	−	0.976318i	0.0740855	−	0.0427733i	0.536585	+	0.843846i	$0.319714\pi$
$522$	−0.451031	−	0.306730i	−0.0197411	−	0.0134252i
$523$	−20.1558			−0.881350			−0.440675	−	0.897667i	$-0.645261\pi$
$523$	−20.1558			−0.881350			−0.440675	+	0.897667i	$0.645261\pi$
$524$	21.5066	−	37.2505i	0.939519	−	1.62729i
$525$	18.1712	+	9.40928i	0.793058	+	0.410654i
$526$	49.8339	−	13.3530i	2.17286	−	0.582217i
$527$	−8.10252	+	30.2390i	−0.352951	+	1.31723i
$528$	−12.5117	−	10.3539i	−0.544502	−	0.450597i
$529$	−21.4679			−0.933386
$530$	1.72958			0.0751281
$531$	−0.345548	+	0.166909i	−0.0149955	+	0.00724324i
$532$	−41.0765	−	13.1617i	−1.78089	−	0.570634i
$533$	42.4302	+	0.0457610i	1.83786	+	0.00198213i
$534$	−25.9511	−	36.5290i	−1.12301	−	1.58076i
$535$	2.57606	−	0.690252i	0.111373	−	0.0298422i
$536$	6.85973	+	3.96047i	0.296295	+	0.171066i
$537$	−38.1434	+	3.59950i	−1.64601	+	0.155330i
$538$	16.4434	+	16.4434i	0.708926	+	0.708926i
$539$	23.3360	−	3.89127i	1.00515	−	0.167609i
$540$	8.10059	−	4.90061i	0.348594	−	0.210889i
$541$	−9.27497	−	34.6146i	−0.398762	−	1.48820i	−0.815277	−	0.579071i	$-0.803415\pi$
$541$	−9.27497	−	34.6146i	−0.398762	−	1.48820i	0.416515	−	0.909129i	$-0.363251\pi$
$542$		−	17.2129i		−	0.739357i
$543$	−14.4466	+	10.2632i	−0.619962	+	0.440435i
$544$	−26.0597	+	26.0597i	−1.11730	+	1.11730i
$545$	−5.25383			−0.225050
$546$	−34.9833	+	1.56569i	−1.49715	+	0.0670052i
$547$	−32.5673			−1.39248			−0.696238	−	0.717811i	$-0.745144\pi$
$547$	−32.5673			−1.39248			−0.696238	+	0.717811i	$0.745144\pi$
$548$	34.6899	−	34.6899i	1.48188	−	1.48188i
$549$	−3.56309	+	0.678521i	−0.152069	+	0.0289586i
$550$			31.9856i			1.36387i
$551$	0.145262	+	0.542125i	0.00618837	+	0.0230953i
$552$	0.373087	−	2.20369i	0.0158796	−	0.0937953i
$553$	−22.1941	+	34.4827i	−0.943789	+	1.46635i
$554$	0.664481	+	0.664481i	0.0282311	+	0.0282311i
$555$	−0.637735	−	6.75800i	−0.0270703	−	0.286861i
$556$	−5.37950	−	3.10586i	−0.228142	−	0.131718i
$557$	23.3051	−	6.24457i	0.987467	−	0.264591i	0.271281	−	0.962500i	$-0.412553\pi$
$557$	23.3051	−	6.24457i	0.987467	−	0.264591i	0.716186	+	0.697909i	$0.245886\pi$
$558$	42.2587	−	8.04735i	1.78895	−	0.340672i
$559$	−31.7469	−	8.54326i	−1.34275	−	0.361341i
$560$	−1.13724	−	5.24509i	−0.0480570	−	0.221645i
$561$	−20.8678	−	17.2689i	−0.881037	−	0.729093i
$562$	28.0223			1.18205
$563$	21.6650			0.913072			0.456536	−	0.889705i	$-0.349090\pi$
$563$	21.6650			0.913072			0.456536	+	0.889705i	$0.349090\pi$
$564$	−3.16549	+	3.82518i	−0.133291	+	0.161069i
$565$	−1.42638	+	5.32334i	−0.0600084	+	0.223954i
$566$	19.3109	−	5.17434i	0.811697	−	0.217494i
$567$	17.9155	+	15.6855i	0.752381	+	0.658728i
$568$	0.362393	−	0.627683i	0.0152057	−	0.0263370i
$569$	8.89470			0.372885			0.186443	−	0.982466i	$-0.440304\pi$
$569$	8.89470			0.372885			0.186443	+	0.982466i	$0.440304\pi$
$570$	−17.3144	−	2.93134i	−0.725220	−	0.122780i
$571$	−2.58932	+	1.49495i	−0.108360	+	0.0625616i	−0.553200	−	0.833048i	$-0.686594\pi$
$571$	−2.58932	+	1.49495i	−0.108360	+	0.0625616i	0.444841	+	0.895610i	$0.353260\pi$
$572$	−15.1545	−	26.3138i	−0.633641	−	1.10024i
$573$	34.2793	+	15.7009i	1.43204	+	0.655913i
$574$	58.6735	−	30.1974i	2.44898	−	1.26042i
$575$	4.78668	−	2.76359i	0.199618	−	0.115250i
$576$	32.1020	+	11.1905i	1.33758	+	0.466272i
$577$	7.00616	−	26.1473i	0.291670	−	1.08853i	−0.652156	−	0.758085i	$-0.726135\pi$
$577$	7.00616	−	26.1473i	0.291670	−	1.08853i	0.943826	−	0.330443i	$-0.107198\pi$
$578$	−6.60905	+	6.60905i	−0.274900	+	0.274900i
$579$	4.17086	−	5.04007i	0.173335	−	0.209458i
$580$	0.110525	−	0.110525i	0.00458930	−	0.00458930i
$581$	12.9331	−	11.7408i	0.536556	−	0.487091i
$582$	−27.6087	+	2.60536i	−1.14442	+	0.107996i
$583$	−2.66726	+	2.66726i	−0.110466	+	0.110466i
$584$	−2.07133	−	3.58765i	−0.0857122	−	0.148458i
$585$	−7.77100	+	1.47115i	−0.321291	+	0.0608247i
$586$	3.54626	−	6.14230i	0.146495	−	0.253736i
$587$	−11.3759	−	3.04816i	−0.469534	−	0.125811i	0.0162914	−	0.999867i	$-0.494814\pi$
$587$	−11.3759	−	3.04816i	−0.469534	−	0.125811i	−0.485825	+	0.874056i	$0.661481\pi$
$588$	−26.2022	+	15.0413i	−1.08056	+	0.620293i
$589$	−38.3341	−	22.1322i	−1.57953	−	0.911941i
$590$	−0.0513057	−	0.191475i	−0.00211222	−	0.00788291i
$591$	11.1241	+	29.9263i	0.457584	+	1.23101i
$592$	10.5145	−	10.5145i	0.432142	−	0.432142i
$593$	−30.4230	+	8.15183i	−1.24932	+	0.334756i	−0.822076	−	0.569378i	$-0.807184\pi$
$593$	−30.4230	+	8.15183i	−1.24932	+	0.334756i	−0.427249	+	0.904134i	$0.640517\pi$
$594$	−8.89553	+	36.1417i	−0.364988	+	1.48291i
$595$	−1.89675	−	8.74806i	−0.0777591	−	0.358636i
$596$	1.09320	−	4.07987i	0.0447792	−	0.167118i
$597$	36.5253	−	25.9484i	1.49488	−	1.06200i
$598$	−4.73820	+	8.18640i	−0.193759	+	0.334767i
$599$	38.0326	−	21.9581i	1.55397	−	0.897185i	0.556157	−	0.831077i	$-0.312275\pi$
$599$	38.0326	−	21.9581i	1.55397	−	0.897185i	0.997813	−	0.0661072i	$-0.0210579\pi$
$600$	−2.80934	−	7.55775i	−0.114691	−	0.308544i
$601$	−3.50137	−	6.06455i	−0.142824	−	0.247378i	0.785735	−	0.618563i	$-0.212285\pi$
$601$	−3.50137	−	6.06455i	−0.142824	−	0.247378i	−0.928559	+	0.371185i	$0.878952\pi$
$602$	−49.9688	+	10.8342i	−2.03658	+	0.441570i
$603$	−1.67661	+	22.7321i	−0.0682769	+	0.925724i
$604$	0.366028	−	1.36603i	0.0148935	−	0.0555831i
$605$	0.218529	+	0.218529i	0.00888446	+	0.00888446i
$606$	−28.5748	+	34.5298i	−1.16077	+	1.40268i
$607$	−4.12251	−	7.14039i	−0.167327	−	0.289819i	0.770152	−	0.637860i	$-0.220180\pi$
$607$	−4.12251	−	7.14039i	−0.167327	−	0.289819i	−0.937479	+	0.348041i	$0.886847\pi$
$608$	−26.0547	−	45.1280i	−1.05666	−	1.83018i
$609$	0.349096	+	0.180766i	0.0141461	+	0.00732501i
$610$		−	1.87363i		−	0.0758612i
$611$	3.59429	−	2.07000i	0.145409	−	0.0837432i
$612$	32.6629	+	11.3861i	1.32032	+	0.460255i
$613$	−41.7472	+	11.1861i	−1.68615	+	0.451803i	−0.969392	−	0.245516i	$-0.921042\pi$
$613$	−41.7472	+	11.1861i	−1.68615	+	0.451803i	−0.716760	+	0.697320i	$0.754376\pi$
$614$			11.1242i			0.448935i
$615$	12.1498	−	8.63150i	0.489927	−	0.348056i
$616$	−7.83877	−	5.04526i	−0.315833	−	0.203279i
$617$	−11.1128	−	41.4737i	−0.447386	−	1.66967i	−0.709559	−	0.704646i	$-0.751106\pi$
$617$	−11.1128	−	41.4737i	−0.447386	−	1.66967i	0.262173	−	0.965021i	$-0.415561\pi$
$618$	10.7751	+	8.91685i	0.433439	+	0.358688i
$619$	−17.5737	−	4.70885i	−0.706345	−	0.189265i	−0.112274	−	0.993677i	$-0.535814\pi$
$619$	−17.5737	−	4.70885i	−0.706345	−	0.189265i	−0.594071	+	0.804413i	$0.702480\pi$
$620$			12.3275i			0.495083i
$621$	6.17722	−	1.79145i	0.247883	−	0.0718885i
$622$	29.7693	+	7.97666i	1.19364	+	0.319835i
$623$	21.7073	+	23.9117i	0.869683	+	0.958002i
$624$	−13.3357	−	11.0601i	−0.533856	−	0.442758i
$625$	8.63313	−	14.9530i	0.345325	−	0.598121i
$626$	−5.66732	−	21.1507i	−0.226512	−	0.845353i
$627$	31.2218	−	22.1807i	1.24688	−	0.885812i
$628$	11.9592	−	6.90462i	0.477222	−	0.275524i
$629$	17.5366	−	17.5366i	0.699231	−	0.699231i
$630$	−9.69073	+	7.57538i	−0.386088	+	0.301811i
$631$	−5.81585	−	21.7050i	−0.231525	−	0.864064i	−0.979684	−	0.200545i	$-0.935729\pi$
$631$	−5.81585	−	21.7050i	−0.231525	−	0.864064i	0.748159	−	0.663519i	$-0.230938\pi$
$632$	15.6077	−	4.18208i	0.620843	−	0.166354i
$633$	10.2320	−	22.3393i	0.406687	−	0.887907i
$634$	47.9412	+	27.6788i	1.90399	+	1.09927i
$635$	−3.16532	−	3.16532i	−0.125612	−	0.125612i
$636$	2.00596	−	4.37955i	0.0795414	−	0.173661i
$637$	24.8996	−	4.12440i	0.986557	−	0.163415i
$638$			0.614491i			0.0243279i
$639$	2.08005	+	0.153414i	0.0822854	+	0.00606897i
$640$	−2.95687	+	5.12145i	−0.116880	+	0.202443i
$641$	−17.8697			−0.705813			−0.352906	−	0.935659i	$-0.614807\pi$
$641$	−17.8697			−0.705813			−0.352906	+	0.935659i	$0.614807\pi$
$642$	2.23501	−	13.2014i	0.0882088	−	0.521018i
$643$	13.6671	−	3.66210i	0.538979	−	0.144419i	0.0209476	−	0.999781i	$-0.493332\pi$
$643$	13.6671	−	3.66210i	0.538979	−	0.144419i	0.518031	+	0.855362i	$0.326665\pi$
$644$	−0.393883	+	8.15113i	−0.0155211	+	0.321199i
$645$	−10.8243	+	4.02355i	−0.426205	+	0.158427i
$646$	−32.0798	−	55.5638i	−1.26216	−	2.18613i
$647$	−7.12070	+	12.3334i	−0.279943	+	0.484876i	−0.971370	−	0.237570i	$-0.923649\pi$
$647$	−7.12070	+	12.3334i	−0.279943	+	0.484876i	0.691427	+	0.722446i	$0.256982\pi$
$648$	−1.07248	−	9.32108i	−0.0421309	−	0.366166i
$649$	0.374403	+	0.216161i	0.0146966	+	0.00848508i
$650$	−0.0368013	+	34.1226i	−0.00144347	+	1.33840i
$651$	−29.5492	+	9.38741i	−1.15813	+	0.367921i
$652$	2.60482	−	9.72131i	0.102013	−	0.380716i
$653$			22.1580i			0.867110i	0.901127	+	0.433555i	$0.142741\pi$
$653$			22.1580i			0.867110i	−0.901127	+	0.433555i	$0.857259\pi$
$654$	−10.9839	+	23.9810i	−0.429506	+	0.937729i
$655$	−3.26662	+	12.1912i	−0.127638	+	0.476350i
$656$	31.5353	+	8.44985i	1.23125	+	0.329911i
$657$	6.70385	−	9.85768i	0.261542	−	0.384585i
$658$	3.49121	−	5.42425i	0.136101	−	0.211459i
$659$	5.24635	+	3.02898i	0.204369	+	0.117992i	0.598692	−	0.800980i	$-0.295687\pi$
$659$	5.24635	+	3.02898i	0.204369	+	0.117992i	−0.394323	+	0.918972i	$0.629021\pi$
$660$	−9.69723	−	4.44160i	−0.377464	−	0.172889i
$661$	−4.00469	−	14.9457i	−0.155764	−	0.581320i	−0.999039	−	0.0438368i	$-0.986042\pi$
$661$	−4.00469	−	14.9457i	−0.155764	−	0.581320i	0.843274	−	0.537483i	$-0.180625\pi$
$662$	4.83089	+	8.36735i	0.187758	+	0.325206i
$663$	−22.2421	−	18.4467i	−0.863811	−	0.716409i
$664$	−6.88272			−0.267101
$665$	12.6419	+	0.610886i	0.490231	+	0.0236892i
$666$	−32.1799	−	11.2177i	−1.24695	−	0.434678i
$667$	0.0919591	−	0.0530926i	0.00356067	−	0.00205575i
$668$	19.3106	+	5.17426i	0.747150	+	0.200198i
$669$	−18.0446	+	6.70748i	−0.697646	+	0.259326i
$670$	−11.3733	−	3.04746i	−0.439388	−	0.117734i
$671$	2.88941	+	2.88941i	0.111544	+	0.111544i
$672$	−35.6513	−	7.82256i	−1.37528	−	0.301762i
$673$	28.9412	−	16.7092i	1.11560	−	0.644092i	0.175327	−	0.984510i	$-0.443902\pi$
$673$	28.9412	−	16.7092i	1.11560	−	0.644092i	0.940274	+	0.340418i	$0.110569\pi$
$674$	−34.8902	−	34.8902i	−1.34392	−	1.34392i
$675$	16.0676	−	16.7391i	0.618441	−	0.644289i
$676$	−16.1367	−	28.0894i	−0.620643	−	1.08036i
$677$	−8.18026	−	4.72287i	−0.314393	−	0.181515i	0.334498	−	0.942397i	$-0.391433\pi$
$677$	−8.18026	−	4.72287i	−0.314393	−	0.181515i	−0.648891	+	0.760882i	$0.724767\pi$
$678$	21.3161	+	17.6399i	0.818640	+	0.677458i
$679$	19.5330	−	4.23514i	0.749610	−	0.162530i
$680$	−1.76355	+	3.05456i	−0.0676291	+	0.117137i
$681$	3.38559	+	0.573184i	0.129736	+	0.0219645i
$682$	−34.2688	−	34.2688i	−1.31222	−	1.31222i
$683$	−11.3328	−	11.3328i	−0.433636	−	0.433636i	0.456227	−	0.889863i	$-0.349200\pi$
$683$	−11.3328	−	11.3328i	−0.433636	−	0.433636i	−0.889863	+	0.456227i	$0.849200\pi$
$684$	−27.5038	+	40.4429i	−1.05163	+	1.54637i
$685$	−7.19764	+	12.4667i	−0.275008	+	0.476327i
$686$	31.4711	−	23.4582i	1.20157	−	0.895638i
$687$	−16.7444	+	20.2340i	−0.638839	+	0.771974i
$688$	−21.9074	−	12.6483i	−0.835213	−	0.482210i
$689$	−2.84853	+	2.84239i	−0.108520	+	0.108286i
$690$	0.312140	+	3.30770i	0.0118829	+	0.125922i
$691$	−5.69907	−	5.69907i	−0.216803	−	0.216803i	0.590347	−	0.807150i	$-0.298991\pi$
$691$	−5.69907	−	5.69907i	−0.216803	−	0.216803i	−0.807150	+	0.590347i	$0.798991\pi$
$692$	−36.5974	+	21.1295i	−1.39123	+	0.803225i
$693$	3.26216	−	26.6268i	0.123919	−	1.01147i
$694$	30.9116	+	30.9116i	1.17339	+	1.17339i
$695$	1.76058	+	0.471747i	0.0667828	+	0.0178944i
$696$	−0.0539715	−	0.145196i	−0.00204578	−	0.00550362i
$697$	52.5964	+	14.0932i	1.99223	+	0.533816i
$698$	−34.0380	+	19.6519i	−1.28836	+	0.743834i
$699$	36.0933	−	3.40603i	1.36517	−	0.128828i
$700$	13.4721	+	26.1763i	0.509199	+	0.989372i
$701$	−26.0188			−0.982718			−0.491359	−	0.870957i	$-0.663500\pi$
$701$	−26.0188			−0.982718			−0.491359	+	0.870957i	$0.663500\pi$
$702$	−9.53144	+	38.5461i	−0.359741	+	1.45483i
$703$	17.5332	+	30.3684i	0.661277	+	1.14537i
$704$	−9.91273	−	36.9948i	−0.373600	−	1.39429i
$705$	0.606692	−	1.32457i	0.0228493	−	0.0498863i
$706$	−45.9602	−	26.5351i	−1.72974	−	0.998663i
$707$	17.4830	−	27.1632i	0.657517	−	1.02158i
$708$	−0.544348	−	0.0921587i	−0.0204579	−	0.00346354i
$709$	−21.5867	−	5.78414i	−0.810705	−	0.217228i	−0.170427	−	0.985370i	$-0.554515\pi$
$709$	−21.5867	−	5.78414i	−0.810705	−	0.217228i	−0.640279	+	0.768143i	$0.721181\pi$
$710$	−0.278850	+	1.04068i	−0.0104651	+	0.0390561i
$711$	30.3718	+	35.2087i	1.13903	+	1.32043i
$712$		−	12.7253i		−	0.476900i
$713$	−2.16750	+	8.08921i	−0.0811734	+	0.302943i
$714$	−43.8957	−	9.63152i	−1.64275	−	0.360451i
$715$	6.29363	+	6.30722i	0.235369	+	0.235877i
$716$	−47.7357	−	27.5602i	−1.78397	−	1.02997i
$717$	−36.2858	−	6.14322i	−1.35512	−	0.229423i
$718$	−5.63229	+	9.75540i	−0.210195	+	0.364068i
$719$	17.7947	+	30.8213i	0.663631	+	1.14944i	0.979655	+	0.200691i	$0.0643187\pi$
$719$	17.7947	+	30.8213i	0.663631	+	1.14944i	−0.316024	+	0.948751i	$0.602348\pi$
$720$	−6.06908	−	0.447625i	−0.226181	−	0.0166820i
$721$	−8.47636	−	5.45563i	−0.315676	−	0.203178i
$722$	48.7299	−	13.0571i	1.81354	−	0.485936i
$723$	14.0802	+	2.38379i	0.523649	+	0.0886542i
$724$	−25.4951			−0.947520
$725$	0.191533	−	0.331745i	0.00711336	−	0.0123207i
$726$	1.45434	−	0.540599i	0.0539755	−	0.0200635i
$727$		−	21.5268i		−	0.798387i	−0.916867	−	0.399193i	$-0.869290\pi$
$727$		−	21.5268i		−	0.798387i	0.916867	−	0.399193i	$-0.130710\pi$
$728$	−8.35668	−	5.39136i	−0.309719	−	0.199817i
$729$	22.8106	−	14.4456i	0.844839	−	0.535021i
$730$	4.35441	+	4.35441i	0.161164	+	0.161164i
$731$	−36.5385	−	21.0955i	−1.35142	−	0.780245i
$732$	−4.74432	−	2.17303i	−0.175355	−	0.0803176i
$733$	13.4259	−	3.59745i	0.495895	−	0.132875i	−0.00219907	−	0.999998i	$-0.500700\pi$
$733$	13.4259	−	3.59745i	0.495895	−	0.132875i	0.498094	+	0.867123i	$0.334033\pi$
$734$	3.33938	+	12.4627i	0.123259	+	0.460008i
$735$	6.28418	−	6.25307i	0.231795	−	0.230648i
$736$	−6.97122	+	6.97122i	−0.256962	+	0.256962i
$737$	22.2388	−	12.8396i	0.819177	−	0.472952i
$738$	−13.9972	−	73.5028i	−0.515244	−	2.70568i
$739$	13.0058	+	48.5383i	0.478426	+	1.78551i	0.607997	+	0.793940i	$0.291973\pi$
$739$	13.0058	+	48.5383i	0.478426	+	1.78551i	−0.129571	+	0.991570i	$0.541360\pi$
$740$	4.88294	−	8.45749i	0.179500	−	0.310904i
$741$	33.3333	−	23.6267i	1.22453	−	0.867949i
$742$	−1.90966	+	5.95987i	−0.0701060	+	0.218794i
$743$	−11.1097	−	2.97684i	−0.407575	−	0.109209i	0.0492056	−	0.998789i	$-0.484331\pi$
$743$	−11.1097	−	2.97684i	−0.407575	−	0.109209i	−0.456781	+	0.889579i	$0.650998\pi$
$744$	11.1071	+	5.08736i	0.407206	+	0.186512i
$745$			1.23938i			0.0454074i
$746$	18.5475	+	4.96978i	0.679071	+	0.181956i
$747$	−8.61461	−	17.8347i	−0.315192	−	0.652536i
$748$	−10.0859	−	37.6413i	−0.368779	−	1.37630i
$749$	−0.465772	+	9.63882i	−0.0170189	+	0.352195i
$750$	14.7141	+	20.7118i	0.537284	+	0.756287i
$751$		−	6.28993i		−	0.229523i	−0.993393	−	0.114761i	$-0.963390\pi$
$751$		−	6.28993i		−	0.229523i	0.993393	−	0.114761i	$-0.0366104\pi$
$752$	3.08272	−	0.826012i	0.112415	−	0.0301215i
$753$	−33.0634	+	3.12011i	−1.20490	+	0.113703i
$754$	−0.000707007		0.655546i	−2.57477e−5		0.0238736i
$755$			0.414972i			0.0151024i
$756$	7.94274	+	33.3243i	0.288875	+	1.21199i
$757$	6.93177	+	12.0062i	0.251940	+	0.436372i	0.964060	−	0.265685i	$-0.0855982\pi$
$757$	6.93177	+	12.0062i	0.251940	+	0.436372i	−0.712120	+	0.702058i	$0.752265\pi$
$758$	35.4438	+	61.3904i	1.28738	+	2.22980i
$759$	−5.58231	−	4.61959i	−0.202625	−	0.167680i
$760$	−3.52641	−	3.52641i	−0.127916	−	0.127916i
$761$	2.48344	−	9.26831i	0.0900245	−	0.335976i	−0.906194	−	0.422863i	$-0.861025\pi$
$761$	2.48344	−	9.26831i	0.0900245	−	0.335976i	0.996218	+	0.0868868i	$0.0276919\pi$
$762$	−21.0656	+	7.83040i	−0.763125	+	0.283665i
$763$	5.80087	−	18.1039i	0.210006	−	0.655406i
$764$	27.1222	+	46.9770i	0.981245	+	1.69957i
$765$	−10.1224	−	0.746576i	−0.365975	−	0.0269925i
$766$	62.2790	−	35.9568i	2.25023	−	1.29917i
$767$	0.399168	+	0.231034i	0.0144131	+	0.00834217i
$768$	−5.54018	−	7.79842i	−0.199914	−	0.281401i
$769$	−4.78937	+	17.8742i	−0.172709	+	0.644559i	0.824221	+	0.566268i	$0.191613\pi$
$769$	−4.78937	+	17.8742i	−0.172709	+	0.644559i	−0.996931	+	0.0782915i	$0.975054\pi$
$770$	13.1964	+	4.22839i	0.475564	+	0.152380i
$771$	−6.35663	−	8.94766i	−0.228929	−	0.322242i
$772$	9.09128	−	2.43600i	0.327202	−	0.0876736i

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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.bv (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.49865 + 1.49865i) q^{2} +(-1.00312 - 1.41200i) q^{3} -2.49189i q^{4} +(0.189246 + 0.706275i) q^{5} +(3.61942 + 0.612770i) q^{6} +(-2.64267 - 0.127700i) q^{7} +(0.737165 + 0.737165i) q^{8} +(-0.987501 + 2.83282i) q^{9} +O(q^{10})\)	\(q+(-1.49865 + 1.49865i) q^{2} +(-1.00312 - 1.41200i) q^{3} -2.49189i q^{4} +(0.189246 + 0.706275i) q^{5} +(3.61942 + 0.612770i) q^{6} +(-2.64267 - 0.127700i) q^{7} +(0.737165 + 0.737165i) q^{8} +(-0.987501 + 2.83282i) q^{9} +(-1.34207 - 0.774844i) q^{10} +(3.26458 - 0.874742i) q^{11} +(-3.51855 + 2.49966i) q^{12} +(3.48370 - 0.929429i) q^{13} +(4.15180 - 3.76905i) q^{14} +(0.807426 - 0.975694i) q^{15} +2.77427 q^{16} +4.62710 q^{17} +(-2.76548 - 5.72531i) q^{18} +(-1.69330 + 6.31950i) q^{19} +(1.75996 - 0.471579i) q^{20} +(2.47060 + 3.85955i) q^{21} +(-3.58153 + 6.20338i) q^{22} +1.23779 q^{23} +(0.301414 - 1.78034i) q^{24} +(3.86712 - 2.23268i) q^{25} +(-3.82795 + 6.61372i) q^{26} +(4.99052 - 1.44730i) q^{27} +(-0.318214 + 6.58523i) q^{28} +(0.0742930 - 0.0428931i) q^{29} +(0.252175 + 2.67227i) q^{30} +(-1.75110 + 6.53521i) q^{31} +(-5.63199 + 5.63199i) q^{32} +(-4.50990 - 3.73212i) q^{33} +(-6.93438 + 6.93438i) q^{34} +(-0.409922 - 1.89062i) q^{35} +(7.05905 + 2.46074i) q^{36} +(3.78999 - 3.78999i) q^{37} +(-6.93303 - 12.0084i) q^{38} +(-4.80692 - 3.98666i) q^{39} +(-0.381136 + 0.660146i) q^{40} +(11.3670 + 3.04579i) q^{41} +(-9.48666 - 2.08155i) q^{42} +(-7.89663 - 4.55912i) q^{43} +(-2.17976 - 8.13497i) q^{44} +(-2.18763 - 0.161349i) q^{45} +(-1.85501 + 1.85501i) q^{46} +(1.11118 - 0.297740i) q^{47} +(-2.78293 - 3.91728i) q^{48} +(6.96739 + 0.674939i) q^{49} +(-2.44944 + 9.14144i) q^{50} +(-4.64153 - 6.53347i) q^{51} +(-2.31603 - 8.68098i) q^{52} +(-0.966555 + 0.558041i) q^{53} +(-5.31004 + 9.64803i) q^{54} +(1.23562 + 2.14015i) q^{55} +(-1.85394 - 2.04222i) q^{56} +(10.6217 - 3.94826i) q^{57} +(-0.0470574 + 0.175621i) q^{58} +(0.0904502 + 0.0904502i) q^{59} +(-2.43132 - 2.01201i) q^{60} +(0.604519 + 1.04706i) q^{61} +(-7.16968 - 12.4183i) q^{62} +(2.97139 - 7.36009i) q^{63} -11.3322i q^{64} +(1.31571 + 2.28456i) q^{65} +(12.3519 - 1.16562i) q^{66} +(7.33907 - 1.96650i) q^{67} -11.5302i q^{68} +(-1.24165 - 1.74776i) q^{69} +(3.44770 + 2.21904i) q^{70} +(-0.179939 - 0.671543i) q^{71} +(-2.81620 + 1.36030i) q^{72} +(-3.83834 - 1.02848i) q^{73} +11.3597i q^{74} +(-7.03173 - 3.22073i) q^{75} +(15.7475 + 4.21952i) q^{76} +(-8.73891 + 1.89476i) q^{77} +(13.1785 - 1.22928i) q^{78} +(7.74974 - 13.4229i) q^{79} +(0.525020 + 1.95940i) q^{80} +(-7.04968 - 5.59481i) q^{81} +(-21.5997 + 12.4706i) q^{82} +(-4.66837 + 4.66837i) q^{83} +(9.61756 - 6.15645i) q^{84} +(0.875658 + 3.26800i) q^{85} +(18.6668 - 5.00175i) q^{86} +(-0.135090 - 0.0618750i) q^{87} +(3.05136 + 1.76170i) q^{88} +(-8.63123 - 8.63123i) q^{89} +(3.52029 - 3.03668i) q^{90} +(-9.32495 + 2.01130i) q^{91} -3.08443i q^{92} +(10.9843 - 4.08303i) q^{93} +(-1.21906 + 2.11147i) q^{94} -4.78375 q^{95} +(13.6019 + 2.30282i) q^{96} +(-7.29693 + 1.95521i) q^{97} +(-11.4531 + 9.43016i) q^{98} +(-0.745794 + 10.1118i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q + 2 q^{3} - 4 q^{6} - 16 q^{7} + 8 q^{9}+O(q^{10}) \) 128 * q + 2 * q^3 - 4 * q^6 - 16 * q^7 + 8 * q^9	\( 128 q + 2 q^{3} - 4 q^{6} - 16 q^{7} + 8 q^{9} - 12 q^{10} + 48 q^{12} - 16 q^{13} - 6 q^{15} - 64 q^{16} - 2 q^{18} - 4 q^{19} - 6 q^{21} - 8 q^{22} + 2 q^{24} - 40 q^{27} + 68 q^{28} + 18 q^{30} + 20 q^{31} - 16 q^{33} - 48 q^{34} - 60 q^{36} - 8 q^{37} + 4 q^{39} + 44 q^{40} + 2 q^{42} - 144 q^{43} - 2 q^{45} - 24 q^{46} - 64 q^{48} - 60 q^{49} - 36 q^{51} + 48 q^{52} + 14 q^{54} - 16 q^{55} + 40 q^{57} + 44 q^{58} - 58 q^{60} + 20 q^{61} + 14 q^{63} - 34 q^{66} - 84 q^{67} - 54 q^{69} - 104 q^{70} + 46 q^{72} - 48 q^{73} + 144 q^{76} + 82 q^{78} - 24 q^{79} + 24 q^{81} + 36 q^{82} + 184 q^{84} + 56 q^{85} + 4 q^{87} + 132 q^{88} + 24 q^{91} + 16 q^{93} - 16 q^{94} - 90 q^{96} + 52 q^{97} - 10 q^{99}+O(q^{100}) \) 128 * q + 2 * q^3 - 4 * q^6 - 16 * q^7 + 8 * q^9 - 12 * q^10 + 48 * q^12 - 16 * q^13 - 6 * q^15 - 64 * q^16 - 2 * q^18 - 4 * q^19 - 6 * q^21 - 8 * q^22 + 2 * q^24 - 40 * q^27 + 68 * q^28 + 18 * q^30 + 20 * q^31 - 16 * q^33 - 48 * q^34 - 60 * q^36 - 8 * q^37 + 4 * q^39 + 44 * q^40 + 2 * q^42 - 144 * q^43 - 2 * q^45 - 24 * q^46 - 64 * q^48 - 60 * q^49 - 36 * q^51 + 48 * q^52 + 14 * q^54 - 16 * q^55 + 40 * q^57 + 44 * q^58 - 58 * q^60 + 20 * q^61 + 14 * q^63 - 34 * q^66 - 84 * q^67 - 54 * q^69 - 104 * q^70 + 46 * q^72 - 48 * q^73 + 144 * q^76 + 82 * q^78 - 24 * q^79 + 24 * q^81 + 36 * q^82 + 184 * q^84 + 56 * q^85 + 4 * q^87 + 132 * q^88 + 24 * q^91 + 16 * q^93 - 16 * q^94 - 90 * q^96 + 52 * q^97 - 10 * q^99

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