LMFDB - Embedded newform 360.2.bf.b.61.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [360,2,Mod(61,360)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(360, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 4, 0]))

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

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

chi := DirichletCharacter("360.61");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 360 = 2^{3} \cdot 3^{2} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	360.bf (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.87461447277$
Analytic rank:	$0$
Dimension:	$92$
Relative dimension:	$46$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			61.11
Character	$\chi$	$=$	360.61
Dual form			360.2.bf.b.301.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.941863 + 1.05494i) q^{2} +(0.904267 + 1.47726i) q^{3} +(-0.225788 - 1.98721i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-2.41011 - 0.437433i) q^{6} +(-0.852557 + 1.47667i) q^{7} +(2.30905 + 1.63349i) q^{8} +(-1.36460 + 2.67168i) q^{9} +O(q^{10})$	\(q+(-0.941863 + 1.05494i) q^{2} +(0.904267 + 1.47726i) q^{3} +(-0.225788 - 1.98721i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-2.41011 - 0.437433i) q^{6} +(-0.852557 + 1.47667i) q^{7} +(2.30905 + 1.63349i) q^{8} +(-1.36460 + 2.67168i) q^{9} +(-0.288208 + 1.38453i) q^{10} +(-0.737384 - 0.425729i) q^{11} +(2.73146 - 2.13052i) q^{12} +(-4.22116 + 2.43709i) q^{13} +(-0.754806 - 2.29022i) q^{14} +(1.52175 + 0.827213i) q^{15} +(-3.89804 + 0.897380i) q^{16} +7.43805 q^{17} +(-1.53318 - 3.95593i) q^{18} +7.60011i q^{19} +(-1.18915 - 1.60808i) q^{20} +(-2.95237 + 0.0758557i) q^{21} +(1.14363 - 0.376916i) q^{22} +(4.11536 + 7.12801i) q^{23} +(-0.325096 + 4.88818i) q^{24} +(0.500000 - 0.866025i) q^{25} +(1.40478 - 6.74846i) q^{26} +(-5.18073 + 0.400032i) q^{27} +(3.12696 + 1.36080i) q^{28} +(-4.18548 - 2.41649i) q^{29} +(-2.30594 + 0.826230i) q^{30} +(-3.07536 - 5.32668i) q^{31} +(2.72474 - 4.95740i) q^{32} +(-0.0378789 - 1.47428i) q^{33} +(-7.00562 + 7.84668i) q^{34} +1.70511i q^{35} +(5.61731 + 2.10853i) q^{36} -7.68482i q^{37} +(-8.01765 - 7.15827i) q^{38} +(-7.41727 - 4.03198i) q^{39} +(2.81644 + 0.260119i) q^{40} +(-2.44095 - 4.22785i) q^{41} +(2.70070 - 3.18601i) q^{42} +(3.16629 + 1.82806i) q^{43} +(-0.679522 + 1.56146i) q^{44} +(0.154057 + 2.99604i) q^{45} +(-11.3957 - 2.37216i) q^{46} +(1.21316 - 2.10125i) q^{47} +(-4.85053 - 4.94695i) q^{48} +(2.04629 + 3.54428i) q^{49} +(0.442672 + 1.34315i) q^{50} +(6.72598 + 10.9879i) q^{51} +(5.79610 + 7.83808i) q^{52} -3.34041i q^{53} +(4.45753 - 5.84213i) q^{54} -0.851458 q^{55} +(-4.38073 + 2.01707i) q^{56} +(-11.2274 + 6.87253i) q^{57} +(6.49140 - 2.13942i) q^{58} +(7.56333 - 4.36669i) q^{59} +(1.30026 - 3.21082i) q^{60} +(0.108378 + 0.0625723i) q^{61} +(8.51589 + 1.77269i) q^{62} +(-2.78179 - 4.29283i) q^{63} +(2.66342 + 7.54362i) q^{64} +(-2.43709 + 4.22116i) q^{65} +(1.59095 + 1.34861i) q^{66} +(-3.09693 + 1.78801i) q^{67} +(-1.67943 - 14.7810i) q^{68} +(-6.80856 + 12.5251i) q^{69} +(-1.79879 - 1.60598i) q^{70} +15.7764 q^{71} +(-7.51510 + 3.93997i) q^{72} +8.62423 q^{73} +(8.10701 + 7.23805i) q^{74} +(1.73148 - 0.0444871i) q^{75} +(15.1031 - 1.71602i) q^{76} +(1.25732 - 0.725916i) q^{77} +(11.2395 - 4.02719i) q^{78} +(0.740352 - 1.28233i) q^{79} +(-2.92711 + 2.72617i) q^{80} +(-5.27571 - 7.29156i) q^{81} +(6.75917 + 1.40701i) q^{82} +(1.25235 + 0.723044i) q^{83} +(0.817353 + 5.84986i) q^{84} +(6.44154 - 3.71902i) q^{85} +(-4.91071 + 1.61846i) q^{86} +(-0.215006 - 8.36821i) q^{87} +(-1.00723 - 2.18754i) q^{88} -6.86356 q^{89} +(-3.30574 - 2.65934i) q^{90} -8.31103i q^{91} +(13.2357 - 9.78753i) q^{92} +(5.08796 - 9.35986i) q^{93} +(1.07406 + 3.25890i) q^{94} +(3.80006 + 6.58189i) q^{95} +(9.78726 - 0.457660i) q^{96} +(5.69679 - 9.86713i) q^{97} +(-5.66633 - 1.17952i) q^{98} +(2.14365 - 1.38910i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 92 q + 2 q^{2} - 12 q^{6} - 8 q^{7} + 20 q^{8} + 6 q^{9}+O(q^{10}) $ 92 * q + 2 * q^2 - 12 * q^6 - 8 * q^7 + 20 * q^8 + 6 * q^9	$ 92 q + 2 q^{2} - 12 q^{6} - 8 q^{7} + 20 q^{8} + 6 q^{9} + 4 q^{10} + 22 q^{12} - 18 q^{14} - 8 q^{16} + 12 q^{17} - 16 q^{18} - 4 q^{20} - 10 q^{22} + 28 q^{23} + 24 q^{24} + 46 q^{25} - 64 q^{26} - 10 q^{30} + 8 q^{31} - 28 q^{32} - 14 q^{33} - 38 q^{36} - 6 q^{38} - 24 q^{39} + 2 q^{40} - 18 q^{41} + 22 q^{42} - 36 q^{44} + 4 q^{46} - 36 q^{47} - 76 q^{48} - 30 q^{49} - 2 q^{50} + 6 q^{52} + 42 q^{54} + 20 q^{55} - 38 q^{56} - 34 q^{57} + 18 q^{58} - 14 q^{60} + 60 q^{62} - 32 q^{63} - 48 q^{64} + 12 q^{65} + 36 q^{66} + 16 q^{68} + 8 q^{70} - 8 q^{71} + 92 q^{72} - 4 q^{73} + 52 q^{74} + 22 q^{76} + 58 q^{78} + 20 q^{79} - 16 q^{80} + 18 q^{81} - 16 q^{82} + 38 q^{84} - 60 q^{86} - 48 q^{87} - 20 q^{88} - 24 q^{89} - 24 q^{90} + 36 q^{92} - 14 q^{94} - 18 q^{95} - 38 q^{96} - 14 q^{97} - 60 q^{98}+O(q^{100}) $ 92 * q + 2 * q^2 - 12 * q^6 - 8 * q^7 + 20 * q^8 + 6 * q^9 + 4 * q^10 + 22 * q^12 - 18 * q^14 - 8 * q^16 + 12 * q^17 - 16 * q^18 - 4 * q^20 - 10 * q^22 + 28 * q^23 + 24 * q^24 + 46 * q^25 - 64 * q^26 - 10 * q^30 + 8 * q^31 - 28 * q^32 - 14 * q^33 - 38 * q^36 - 6 * q^38 - 24 * q^39 + 2 * q^40 - 18 * q^41 + 22 * q^42 - 36 * q^44 + 4 * q^46 - 36 * q^47 - 76 * q^48 - 30 * q^49 - 2 * q^50 + 6 * q^52 + 42 * q^54 + 20 * q^55 - 38 * q^56 - 34 * q^57 + 18 * q^58 - 14 * q^60 + 60 * q^62 - 32 * q^63 - 48 * q^64 + 12 * q^65 + 36 * q^66 + 16 * q^68 + 8 * q^70 - 8 * q^71 + 92 * q^72 - 4 * q^73 + 52 * q^74 + 22 * q^76 + 58 * q^78 + 20 * q^79 - 16 * q^80 + 18 * q^81 - 16 * q^82 + 38 * q^84 - 60 * q^86 - 48 * q^87 - 20 * q^88 - 24 * q^89 - 24 * q^90 + 36 * q^92 - 14 * q^94 - 18 * q^95 - 38 * q^96 - 14 * q^97 - 60 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$181$	$217$	$271$	$281$
$\chi(n)$	$-1$	$1$	$1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−0.941863	+	1.05494i	−0.665998	+	0.745954i
$2$	−0.941863	+	1.05494i	−0.665998	+	0.745954i
$3$	0.904267	+	1.47726i	0.522079	+	0.852897i
$3$	0.904267	+	1.47726i	0.522079	+	0.852897i
$4$	−0.225788	−	1.98721i	−0.112894	−	0.993607i
$5$	0.866025	−	0.500000i	0.387298	−	0.223607i
$5$	0.866025	−	0.500000i	0.387298	−	0.223607i
$6$	−2.41011	−	0.437433i	−0.983925	−	0.178581i
$7$	−0.852557	+	1.47667i	−0.322236	+	0.558130i	−0.980949	−	0.194265i	$-0.937768\pi$
$7$	−0.852557	+	1.47667i	−0.322236	+	0.558130i	0.658713	+	0.752394i	$0.271101\pi$
$8$	2.30905	+	1.63349i	0.816372	+	0.577526i
$9$	−1.36460	+	2.67168i	−0.454868	+	0.890559i
$10$	−0.288208	+	1.38453i	−0.0911394	+	0.437828i
$11$	−0.737384	−	0.425729i	−0.222330	−	0.128362i	0.384699	−	0.923042i	$-0.374305\pi$
$11$	−0.737384	−	0.425729i	−0.222330	−	0.128362i	−0.607029	+	0.794680i	$0.707639\pi$
$12$	2.73146	−	2.13052i	0.788505	−	0.615028i
$13$	−4.22116	+	2.43709i	−1.17074	+	0.675927i	−0.953854	−	0.300271i	$-0.902923\pi$
$13$	−4.22116	+	2.43709i	−1.17074	+	0.675927i	−0.216885	+	0.976197i	$0.569590\pi$
$14$	−0.754806	−	2.29022i	−0.201730	−	0.612086i
$15$	1.52175	+	0.827213i	0.392914	+	0.213585i
$16$	−3.89804	+	0.897380i	−0.974510	+	0.224345i
$17$	7.43805			1.80399			0.901996	−	0.431745i	$-0.142102\pi$
$17$	7.43805			1.80399			0.901996	+	0.431745i	$0.142102\pi$
$18$	−1.53318	−	3.95593i	−0.361375	−	0.932421i
$19$			7.60011i			1.74359i	0.489875	+	0.871793i	$0.337043\pi$
$19$			7.60011i			1.74359i	−0.489875	+	0.871793i	$0.662957\pi$
$20$	−1.18915	−	1.60808i	−0.265901	−	0.359578i
$21$	−2.95237	+	0.0758557i	−0.644260	+	0.0165531i
$22$	1.14363	−	0.376916i	0.243823	−	0.0803588i
$23$	4.11536	+	7.12801i	0.858112	+	1.48629i	0.873728	+	0.486416i	$0.161696\pi$
$23$	4.11536	+	7.12801i	0.858112	+	1.48629i	−0.0156156	+	0.999878i	$0.504971\pi$
$24$	−0.325096	+	4.88818i	−0.0663599	+	0.997796i
$25$	0.500000	−	0.866025i	0.100000	−	0.173205i
$26$	1.40478	−	6.74846i	0.275500	−	1.32348i
$27$	−5.18073	+	0.400032i	−0.997032	+	0.0769862i
$28$	3.12696	+	1.36080i	0.590940	+	0.257167i
$29$	−4.18548	−	2.41649i	−0.777225	−	0.448731i	0.0582210	−	0.998304i	$-0.481457\pi$
$29$	−4.18548	−	2.41649i	−0.777225	−	0.448731i	−0.835446	+	0.549573i	$0.814791\pi$
$30$	−2.30594	+	0.826230i	−0.421005	+	0.150848i
$31$	−3.07536	−	5.32668i	−0.552351	−	0.956700i	−0.998104	−	0.0615445i	$-0.980397\pi$
$31$	−3.07536	−	5.32668i	−0.552351	−	0.956700i	0.445753	−	0.895156i	$-0.352936\pi$
$32$	2.72474	−	4.95740i	0.481670	−	0.876353i
$33$	−0.0378789	−	1.47428i	−0.00659387	−	0.256639i
$34$	−7.00562	+	7.84668i	−1.20145	+	1.34569i
$35$			1.70511i			0.288217i
$36$	5.61731	+	2.10853i	0.936218	+	0.351421i
$37$		−	7.68482i		−	1.26338i	−0.775222	−	0.631688i	$-0.782362\pi$
$37$		−	7.68482i		−	1.26338i	0.775222	−	0.631688i	$-0.217638\pi$
$38$	−8.01765	−	7.15827i	−1.30063	−	1.16122i
$39$	−7.41727	−	4.03198i	−1.18771	−	0.645634i
$40$	2.81644	+	0.260119i	0.445318	+	0.0411285i
$41$	−2.44095	−	4.22785i	−0.381213	−	0.660280i	0.610023	−	0.792384i	$-0.291160\pi$
$41$	−2.44095	−	4.22785i	−0.381213	−	0.660280i	−0.991236	+	0.132104i	$0.957827\pi$
$42$	2.70070	−	3.18601i	0.416728	−	0.491612i
$43$	3.16629	+	1.82806i	0.482855	+	0.278777i	0.721606	−	0.692304i	$-0.243404\pi$
$43$	3.16629	+	1.82806i	0.482855	+	0.278777i	−0.238750	+	0.971081i	$0.576738\pi$
$44$	−0.679522	+	1.56146i	−0.102442	+	0.235400i
$45$	0.154057	+	2.99604i	0.0229655	+	0.446624i
$46$	−11.3957	−	2.37216i	−1.68021	−	0.349756i
$47$	1.21316	−	2.10125i	0.176958	−	0.306499i	−0.763879	−	0.645359i	$-0.776708\pi$
$47$	1.21316	−	2.10125i	0.176958	−	0.306499i	0.940837	+	0.338860i	$0.110041\pi$
$48$	−4.85053	−	4.94695i	−0.700114	−	0.714031i
$49$	2.04629	+	3.54428i	0.292328	+	0.506326i
$50$	0.442672	+	1.34315i	0.0626032	+	0.189950i
$51$	6.72598	+	10.9879i	0.941825	+	1.53862i
$52$	5.79610	+	7.83808i	0.803775	+	1.08695i
$53$		−	3.34041i		−	0.458840i	−0.973327	−	0.229420i	$-0.926317\pi$
$53$		−	3.34041i		−	0.458840i	0.973327	−	0.229420i	$-0.0736830\pi$
$54$	4.45753	−	5.84213i	0.606593	−	0.795013i
$55$	−0.851458			−0.114811
$56$	−4.38073	+	2.01707i	−0.585399	+	0.269542i
$57$	−11.2274	+	6.87253i	−1.48710	+	0.910289i
$58$	6.49140	−	2.13942i	0.852363	−	0.280920i
$59$	7.56333	−	4.36669i	0.984662	−	0.568495i	0.0809874	−	0.996715i	$-0.474193\pi$
$59$	7.56333	−	4.36669i	0.984662	−	0.568495i	0.903674	+	0.428220i	$0.140859\pi$
$60$	1.30026	−	3.21082i	0.167862	−	0.414514i
$61$	0.108378	+	0.0625723i	0.0138764	+	0.00801156i	0.506922	−	0.861992i	$-0.330783\pi$
$61$	0.108378	+	0.0625723i	0.0138764	+	0.00801156i	−0.493046	+	0.870003i	$0.664116\pi$
$62$	8.51589	+	1.77269i	1.08152	+	0.225132i
$63$	−2.78179	−	4.29283i	−0.350472	−	0.540846i
$64$	2.66342	+	7.54362i	0.332927	+	0.942952i
$65$	−2.43709	+	4.22116i	−0.302284	+	0.523570i
$66$	1.59095	+	1.34861i	0.195833	+	0.166003i
$67$	−3.09693	+	1.78801i	−0.378350	+	0.218441i	−0.677100	−	0.735891i	$-0.736764\pi$
$67$	−3.09693	+	1.78801i	−0.378350	+	0.218441i	0.298750	+	0.954331i	$0.403430\pi$
$68$	−1.67943	−	14.7810i	−0.203660	−	1.79246i
$69$	−6.80856	+	12.5251i	−0.819654	+	1.50784i
$70$	−1.79879	−	1.60598i	−0.214996	−	0.191952i
$71$	15.7764			1.87232			0.936158	−	0.351579i	$-0.114355\pi$
$71$	15.7764			1.87232			0.936158	+	0.351579i	$0.114355\pi$
$72$	−7.51510	+	3.93997i	−0.885662	+	0.464330i
$73$	8.62423			1.00939			0.504695	−	0.863298i	$-0.331605\pi$
$73$	8.62423			1.00939			0.504695	+	0.863298i	$0.331605\pi$
$74$	8.10701	+	7.23805i	0.942421	+	0.841406i
$75$	1.73148	−	0.0444871i	0.199934	−	0.00513693i
$76$	15.1031	−	1.71602i	1.73244	−	0.196841i
$77$	1.25732	−	0.725916i	0.143285	−	0.0827258i
$78$	11.2395	−	4.02719i	1.27263	−	0.455989i
$79$	0.740352	−	1.28233i	0.0832961	−	0.144273i	−0.821368	−	0.570399i	$-0.806789\pi$
$79$	0.740352	−	1.28233i	0.0832961	−	0.144273i	0.904664	+	0.426126i	$0.140122\pi$
$80$	−2.92711	+	2.72617i	−0.327261	+	0.304795i
$81$	−5.27571	−	7.29156i	−0.586191	−	0.810173i
$82$	6.75917	+	1.40701i	0.746425	+	0.155378i
$83$	1.25235	+	0.723044i	0.137463	+	0.0793644i	0.567154	−	0.823611i	$-0.308044\pi$
$83$	1.25235	+	0.723044i	0.137463	+	0.0793644i	−0.429691	+	0.902976i	$0.641378\pi$
$84$	0.817353	+	5.84986i	0.0891805	+	0.638272i
$85$	6.44154	−	3.71902i	0.698683	−	0.403385i
$86$	−4.91071	+	1.61846i	−0.529535	+	0.174523i
$87$	−0.215006	−	8.36821i	−0.0230510	−	0.897166i
$88$	−1.00723	−	2.18754i	−0.107371	−	0.233192i
$89$	−6.86356			−0.727536			−0.363768	−	0.931490i	$-0.618510\pi$
$89$	−6.86356			−0.727536			−0.363768	+	0.931490i	$0.618510\pi$
$90$	−3.30574	−	2.65934i	−0.348455	−	0.280319i
$91$		−	8.31103i		−	0.871232i
$92$	13.2357	−	9.78753i	1.37992	−	1.02042i
$93$	5.08796	−	9.35986i	0.527597	−	0.970572i
$94$	1.07406	+	3.25890i	0.110781	+	0.336130i
$95$	3.80006	+	6.58189i	0.389878	+	0.675288i
$96$	9.78726	−	0.457660i	0.998909	−	0.0467097i
$97$	5.69679	−	9.86713i	0.578421	−	1.00185i	−0.417239	−	0.908797i	$-0.637002\pi$
$97$	5.69679	−	9.86713i	0.578421	−	1.00185i	0.995661	−	0.0930583i	$-0.0296643\pi$
$98$	−5.66633	−	1.17952i	−0.572385	−	0.119149i
$99$	2.14365	−	1.38910i	0.215445	−	0.139610i
$100$	−1.83387	−	0.798068i	−0.183387	−	0.0798068i
$101$	−2.27107	−	1.31120i	−0.225980	−	0.130469i	0.382736	−	0.923858i	$-0.374982\pi$
$101$	−2.27107	−	1.31120i	−0.225980	−	0.130469i	−0.608716	+	0.793388i	$0.708315\pi$
$102$	−17.9265	−	3.25364i	−1.77499	−	0.322159i
$103$	1.62029	+	2.80642i	0.159651	+	0.276524i	0.934743	−	0.355324i	$-0.115630\pi$
$103$	1.62029	+	2.80642i	0.159651	+	0.276524i	−0.775092	+	0.631849i	$0.782296\pi$
$104$	−13.7278	−	1.26787i	−1.34612	−	0.124325i
$105$	−2.51890	+	1.54188i	−0.245819	+	0.150472i
$106$	3.52392	+	3.14621i	0.342274	+	0.305587i
$107$			12.8339i			1.24070i	0.784324	+	0.620352i	$0.213010\pi$
$107$			12.8339i			1.24070i	−0.784324	+	0.620352i	$0.786990\pi$
$108$	1.96470	+	10.2049i	0.189053	+	0.981967i
$109$			0.591519i			0.0566573i	0.999599	+	0.0283286i	$0.00901849\pi$
$109$			0.591519i			0.0566573i	−0.999599	+	0.0283286i	$0.990982\pi$
$110$	0.801956	−	0.898235i	0.0764635	−	0.0856434i
$111$	11.3525	−	6.94913i	1.07753	−	0.659582i
$112$	1.99816	−	6.52119i	0.188809	−	0.616195i
$113$	2.43920	+	4.22482i	0.229461	+	0.397438i	0.957648	−	0.287940i	$-0.0929704\pi$
$113$	2.43920	+	4.22482i	0.229461	+	0.397438i	−0.728188	+	0.685378i	$0.759637\pi$
$114$	3.32454	−	18.3171i	0.311371	−	1.71556i
$115$	7.12801	+	4.11536i	0.664691	+	0.383759i
$116$	−3.85705	+	8.86307i	−0.358118	+	0.822915i
$117$	−0.750902	−	14.6032i	−0.0694209	−	1.35007i
$118$	−2.51703	+	12.0917i	−0.231712	+	1.11313i
$119$	−6.34136	+	10.9836i	−0.581311	+	1.00686i
$120$	2.16255	+	4.39584i	0.197413	+	0.401283i
$121$	−5.13751	−	8.89843i	−0.467046	−	0.808948i
$122$	−0.168087	+	0.0553980i	−0.0152179	+	0.00501550i
$123$	4.03838	−	7.42903i	0.364128	−	0.669854i
$124$	−9.89088	+	7.31411i	−0.888227	+	0.656826i
$125$		−	1.00000i		−	0.0894427i
$126$	7.14873	+	1.10864i	0.636860	+	0.0987657i
$127$	−6.90715			−0.612911			−0.306455	−	0.951885i	$-0.599143\pi$
$127$	−6.90715			−0.612911			−0.306455	+	0.951885i	$0.599143\pi$
$128$	−10.4666	−	4.29531i	−0.925128	−	0.379656i
$129$	0.162650	+	6.33050i	0.0143206	+	0.557370i
$130$	−2.15766	−	6.54673i	−0.189239	−	0.574186i
$131$	7.42527	−	4.28698i	0.648749	−	0.374555i	−0.139228	−	0.990260i	$-0.544462\pi$
$131$	7.42527	−	4.28698i	0.648749	−	0.374555i	0.787977	+	0.615705i	$0.211129\pi$
$132$	−2.92116	+	0.408149i	−0.254254	+	0.0355248i
$133$	−11.2229	−	6.47953i	−0.973147	−	0.561847i
$134$	1.03064	−	4.95113i	0.0890337	−	0.427713i
$135$	−4.28663	+	2.93680i	−0.368934	+	0.252760i
$136$	17.1748	+	12.1500i	1.47273	+	1.04185i
$137$	2.40160	−	4.15970i	0.205183	−	0.355387i	−0.745008	−	0.667055i	$-0.767554\pi$
$137$	2.40160	−	4.15970i	0.205183	−	0.355387i	0.950191	+	0.311668i	$0.100888\pi$
$138$	−6.80047	−	18.9795i	−0.578894	−	1.61564i
$139$	1.84254	−	1.06379i	0.156282	−	0.0902297i	−0.419819	−	0.907608i	$-0.637907\pi$
$139$	1.84254	−	1.06379i	0.156282	−	0.0902297i	0.576102	+	0.817378i	$0.304573\pi$
$140$	3.38843	−	0.384995i	0.286374	−	0.0325380i
$141$	4.20112	−	0.107940i	0.353798	−	0.00909019i
$142$	−14.8592	+	16.6431i	−1.24696	+	1.39666i
$143$	4.15015			0.347053
$144$	2.92177	−	11.6389i	0.243481	−	0.969906i
$145$	−4.83298			−0.401357
$146$	−8.12285	+	9.09803i	−0.672252	+	0.752959i
$147$	−3.38544	+	6.22789i	−0.279226	+	0.513668i
$148$	−15.2714	+	1.73514i	−1.25530	+	0.142628i
$149$	9.01464	−	5.20460i	0.738508	−	0.426378i	−0.0830186	−	0.996548i	$-0.526456\pi$
$149$	9.01464	−	5.20460i	0.738508	−	0.426378i	0.821527	+	0.570170i	$0.193123\pi$
$150$	−1.58389	+	1.86850i	−0.129324	+	0.152563i
$151$	2.35233	−	4.07436i	0.191430	−	0.331567i	−0.754294	−	0.656536i	$-0.772021\pi$
$151$	2.35233	−	4.07436i	0.191430	−	0.331567i	0.945724	+	0.324970i	$0.105354\pi$
$152$	−12.4147	+	17.5490i	−1.00697	+	1.42342i
$153$	−10.1500	+	19.8721i	−0.820578	+	1.60656i
$154$	−0.418430	+	2.01011i	−0.0337181	+	0.161979i
$155$	−5.32668	−	3.07536i	−0.427849	−	0.247019i
$156$	−6.33767	+	15.6501i	−0.507420	+	1.25301i
$157$	−1.24208	+	0.717118i	−0.0991292	+	0.0572322i	−0.548745	−	0.835990i	$-0.684894\pi$
$157$	−1.24208	+	0.717118i	−0.0991292	+	0.0572322i	0.449616	+	0.893222i	$0.351561\pi$
$158$	0.655466	+	1.98880i	0.0521461	+	0.158221i
$159$	4.93466	−	3.02062i	0.391344	−	0.239551i
$160$	−0.119007	−	5.65560i	−0.00940832	−	0.447115i
$161$	−14.0343			−1.10606
$162$	12.6611	+	1.30210i	0.994753	+	0.102302i
$163$		−	11.9422i		−	0.935382i	−0.883892	−	0.467691i	$-0.845086\pi$
$163$		−	11.9422i		−	0.935382i	0.883892	−	0.467691i	$-0.154914\pi$
$164$	−7.85051	+	5.80530i	−0.613022	+	0.453318i
$165$	−0.769945	−	1.25783i	−0.0599401	−	0.0979216i
$166$	−1.94231	+	0.640142i	−0.150752	+	0.0496847i
$167$	1.25891	+	2.18050i	0.0974174	+	0.168732i	0.910615	−	0.413256i	$-0.135609\pi$
$167$	1.25891	+	2.18050i	0.0974174	+	0.168732i	−0.813198	+	0.581988i	$0.802275\pi$
$168$	−6.94108	−	4.64751i	−0.535516	−	0.358563i
$169$	5.37879	−	9.31634i	0.413753	−	0.716642i
$170$	−2.14371	+	10.2982i	−0.164415	+	0.789838i
$171$	−20.3050	−	10.3711i	−1.55277	−	0.793101i
$172$	2.91784	−	6.70486i	0.222483	−	0.511241i
$173$	5.12875	+	2.96109i	0.389932	+	0.225127i	0.682131	−	0.731230i	$-0.261054\pi$
$173$	5.12875	+	2.96109i	0.389932	+	0.225127i	−0.292199	+	0.956358i	$0.594387\pi$
$174$	9.03045	+	7.65489i	0.684596	+	0.580315i
$175$	0.852557	+	1.47667i	0.0644473	+	0.111626i
$176$	3.25639	+	0.997794i	0.245460	+	0.0752116i
$177$	13.2900	+	7.22436i	0.998939	+	0.543016i
$178$	6.46454	−	7.24063i	0.484537	−	0.542708i
$179$		−	14.9307i		−	1.11598i	−0.829849	−	0.557988i	$-0.811573\pi$
$179$		−	14.9307i		−	1.11598i	0.829849	−	0.557988i	$-0.188427\pi$
$180$	5.91899	−	0.982616i	0.441176	−	0.0732399i
$181$		−	2.55761i		−	0.190105i	−0.995472	−	0.0950527i	$-0.969698\pi$
$181$		−	2.55761i		−	0.190105i	0.995472	−	0.0950527i	$-0.0303020\pi$
$182$	8.76762	+	7.82785i	0.649899	+	0.580239i
$183$	0.00556733	+	0.216685i	0.000411549	+	0.0160178i
$184$	−2.14097	+	23.1813i	−0.157834	+	1.70895i
$185$	−3.84241	−	6.65525i	−0.282500	−	0.489304i
$186$	5.08191	+	14.1832i	0.372624	+	1.03996i
$187$	−5.48470	−	3.16659i	−0.401081	−	0.231564i
$188$	−4.44956	−	1.93637i	−0.324517	−	0.141224i
$189$	3.82615	−	7.99129i	0.278312	−	0.581281i
$190$	−10.5226	−	2.19042i	−0.763391	−	0.158909i
$191$	−7.53918	+	13.0582i	−0.545516	+	0.944861i	0.453058	+	0.891481i	$0.350333\pi$
$191$	−7.53918	+	13.0582i	−0.545516	+	0.944861i	−0.998574	+	0.0533803i	$0.983000\pi$
$192$	−8.73546	+	10.7560i	−0.630427	+	0.776248i
$193$	8.90043	+	15.4160i	0.640667	+	1.10967i	0.985284	+	0.170925i	$0.0546755\pi$
$193$	8.90043	+	15.4160i	0.640667	+	1.10967i	−0.344617	+	0.938743i	$0.611991\pi$
$194$	5.04361	+	15.3032i	0.362110	+	1.09871i
$195$	−8.43953	+	0.216838i	−0.604368	+	0.0155281i
$196$	6.58122	−	4.86668i	0.470087	−	0.347620i
$197$			8.71136i			0.620659i	0.950629	+	0.310329i	$0.100439\pi$
$197$			8.71136i			0.620659i	−0.950629	+	0.310329i	$0.899561\pi$
$198$	−0.553606	+	3.56976i	−0.0393431	+	0.253692i
$199$	−12.5026			−0.886284			−0.443142	−	0.896452i	$-0.646136\pi$
$199$	−12.5026			−0.886284			−0.443142	+	0.896452i	$0.646136\pi$
$200$	2.56917	−	1.18295i	0.181668	−	0.0836472i
$201$	−5.44181	−	2.95813i	−0.383836	−	0.208651i
$202$	3.52227	−	1.16086i	0.247826	−	0.0816781i
$203$	7.13673	−	4.12039i	0.500900	−	0.289195i
$204$	20.3167	−	15.8469i	1.42246	−	1.10951i
$205$	−4.22785	−	2.44095i	−0.295286	−	0.170484i
$206$	−4.48668	−	0.933959i	−0.312602	−	0.0650720i
$207$	−24.6596	+	1.26800i	−1.71396	+	0.0881322i
$208$	14.2673	−	13.2878i	0.989256	−	0.921346i
$209$	3.23559	−	5.60420i	0.223810	−	0.387651i
$210$	0.745872	−	4.10952i	0.0514701	−	0.283584i
$211$	−13.0199	+	7.51704i	−0.896327	+	0.517495i	−0.876007	−	0.482299i	$-0.839802\pi$
$211$	−13.0199	+	7.51704i	−0.896327	+	0.517495i	−0.0203202	+	0.999794i	$0.506469\pi$
$212$	−6.63810	+	0.754226i	−0.455907	+	0.0518004i
$213$	14.2661	+	23.3059i	0.977497	+	1.59689i
$214$	−13.5390	−	12.0878i	−0.925507	−	0.826305i
$215$	3.65612			0.249345
$216$	−12.6160	−	7.53898i	−0.858411	−	0.512963i
$217$	10.4877			0.711950
$218$	−0.624016	−	0.557130i	−0.0422637	−	0.0377336i
$219$	7.79861	+	12.7402i	0.526981	+	0.860906i
$220$	0.192249	+	1.69203i	0.0129614	+	0.114077i
$221$	−31.3972	+	18.1272i	−2.11200	+	1.21937i
$222$	−3.36159	+	18.5213i	−0.225615	+	1.24307i
$223$	−7.24909	+	12.5558i	−0.485435	+	0.840798i	−0.999860	−	0.0167373i	$-0.994672\pi$
$223$	−7.24909	+	12.5558i	−0.485435	+	0.840798i	0.514425	+	0.857535i	$0.328005\pi$
$224$	4.99746	+	8.25001i	0.333907	+	0.551227i
$225$	1.63144	+	2.51762i	0.108763	+	0.167841i
$226$	−6.75432	−	1.40600i	−0.449290	−	0.0935254i
$227$	5.72436	+	3.30496i	0.379939	+	0.219358i	0.677792	−	0.735254i	$-0.262937\pi$
$227$	5.72436	+	3.30496i	0.379939	+	0.219358i	−0.297853	+	0.954612i	$0.596270\pi$
$228$	16.1922	+	20.7594i	1.07235	+	1.37483i
$229$	−11.0770	+	6.39532i	−0.731990	+	0.422615i	−0.819150	−	0.573580i	$-0.805554\pi$
$229$	−11.0770	+	6.39532i	−0.731990	+	0.422615i	0.0871598	+	0.996194i	$0.472221\pi$
$230$	−11.0551	+	3.64351i	−0.728949	+	0.240246i
$231$	2.20932	+	1.20097i	0.145363	+	0.0790183i
$232$	−5.71718	−	12.4167i	−0.375351	−	0.815199i
$233$	−7.84523			−0.513958			−0.256979	−	0.966417i	$-0.582727\pi$
$233$	−7.84523			−0.513958			−0.256979	+	0.966417i	$0.582727\pi$
$234$	16.1128	+	12.9621i	1.05332	+	0.847358i
$235$		−	2.42632i		−	0.158276i
$236$	−10.3853	−	14.0440i	−0.676023	−	0.914187i
$237$	2.56381	−	0.0658723i	0.166537	−	0.00427887i
$238$	−5.61428	−	17.0347i	−0.363920	−	1.10420i
$239$	−4.65667	−	8.06559i	−0.301215	−	0.521720i	0.675196	−	0.737638i	$-0.264059\pi$
$239$	−4.65667	−	8.06559i	−0.301215	−	0.521720i	−0.976411	+	0.215918i	$0.930726\pi$
$240$	−6.67416	−	1.85892i	−0.430815	−	0.119993i
$241$	11.7444	−	20.3419i	0.756524	−	1.31034i	−0.188090	−	0.982152i	$-0.560230\pi$
$241$	11.7444	−	20.3419i	0.756524	−	1.31034i	0.944613	−	0.328185i	$-0.106437\pi$
$242$	14.2261	+	2.96134i	0.914490	+	0.190362i
$243$	6.00089	−	14.3871i	0.384957	−	0.922934i
$244$	0.0998739	−	0.229499i	0.00639377	−	0.0146922i
$245$	3.54428	+	2.04629i	0.226436	+	0.130733i
$246$	4.03358	+	11.2574i	0.257171	+	0.717744i
$247$	−18.5221	−	32.0813i	−1.17854	−	2.04128i
$248$	1.59992	−	17.3231i	0.101595	−	1.10002i
$249$	0.0643324	+	2.50387i	0.00407690	+	0.158676i
$250$	1.05494	+	0.941863i	0.0667201	+	0.0595686i
$251$		−	7.22168i		−	0.455829i	−0.973681	−	0.227914i	$-0.926809\pi$
$251$		−	7.22168i		−	0.455829i	0.973681	−	0.227914i	$-0.0731906\pi$
$252$	−7.90267	+	6.49728i	−0.497822	+	0.409290i
$253$		−	7.00811i		−	0.440596i
$254$	6.50559	−	7.28662i	0.408197	−	0.457203i
$255$	11.3188	+	6.15285i	0.708813	+	0.385306i
$256$	14.3894	−	6.99605i	0.899339	−	0.437253i
$257$	−8.29135	−	14.3610i	−0.517200	−	0.895817i	−0.999800	−	0.0199761i	$-0.993641\pi$
$257$	−8.29135	−	14.3610i	−0.517200	−	0.895817i	0.482600	−	0.875841i	$-0.339692\pi$
$258$	−6.83148	−	5.79088i	−0.425309	−	0.360524i
$259$	11.3480	+	6.55175i	0.705128	+	0.407106i
$260$	8.93861	+	3.88993i	0.554349	+	0.241243i
$261$	12.1676	−	7.88471i	0.753156	−	0.488051i
$262$	−2.47109	+	11.8709i	−0.152664	+	0.733389i
$263$	−0.915140	+	1.58507i	−0.0564299	+	0.0977395i	−0.892860	−	0.450334i	$-0.851305\pi$
$263$	−0.915140	+	1.58507i	−0.0564299	+	0.0977395i	0.836430	+	0.548073i	$0.184638\pi$
$264$	2.32076	−	3.46606i	0.142833	−	0.213321i
$265$	−1.67020	−	2.89288i	−0.102600	−	0.177708i
$266$	17.4059	−	5.73661i	1.06723	−	0.351734i
$267$	−6.20649	−	10.1393i	−0.379831	−	0.620514i
$268$	4.25241	+	5.75055i	0.259758	+	0.351271i
$269$		−	16.4171i		−	1.00097i	−0.865746	−	0.500484i	$-0.833156\pi$
$269$		−	16.4171i		−	1.00097i	0.865746	−	0.500484i	$-0.166844\pi$
$270$	0.939271	−	7.28819i	0.0571622	−	0.443545i
$271$	−4.76766			−0.289615			−0.144807	−	0.989460i	$-0.546256\pi$
$271$	−4.76766			−0.289615			−0.144807	+	0.989460i	$0.546256\pi$
$272$	−28.9938	+	6.67475i	−1.75801	+	0.404716i
$273$	12.2776	−	7.51538i	0.743072	−	0.454852i
$274$	2.12624	+	6.45140i	0.128451	+	0.389744i
$275$	−0.737384	+	0.425729i	−0.0444659	+	0.0256724i
$276$	26.4273	+	10.7020i	1.59074	+	0.644187i
$277$	28.5479	+	16.4821i	1.71528	+	0.990316i	0.927055	+	0.374925i	$0.122331\pi$
$277$	28.5479	+	16.4821i	1.71528	+	0.990316i	0.788222	+	0.615391i	$0.211002\pi$
$278$	−0.613187	+	2.94571i	−0.0367765	+	0.176672i
$279$	18.4278	−	0.947563i	1.10325	−	0.0567291i
$280$	−2.78529	+	3.93719i	−0.166453	+	0.235292i
$281$	−0.0674617	+	0.116847i	−0.00402443	+	0.00697051i	−0.868031	−	0.496511i	$-0.834614\pi$
$281$	−0.0674617	+	0.116847i	−0.00402443	+	0.00697051i	0.864006	+	0.503481i	$0.167948\pi$
$282$	−3.84301	+	4.53359i	−0.228848	+	0.269971i
$283$	−19.8241	+	11.4455i	−1.17842	+	0.680362i	−0.955649	−	0.294509i	$-0.904844\pi$
$283$	−19.8241	+	11.4455i	−1.17842	+	0.680362i	−0.222772	+	0.974871i	$0.571511\pi$
$284$	−3.56213	−	31.3511i	−0.211374	−	1.86035i
$285$	−6.28691	+	11.5655i	−0.372404	+	0.685079i
$286$	−3.90888	+	4.37816i	−0.231137	+	0.258886i
$287$	8.32421			0.491362
$288$	9.52638	+	14.0445i	0.561347	+	0.827580i
$289$	38.3245			2.25438
$290$	4.55201	−	5.09850i	0.267303	−	0.299394i
$291$	19.7277	−	0.506868i	1.15646	−	0.0297131i
$292$	−1.94725	−	17.1382i	−0.113954	−	1.00294i
$293$	10.8358	−	6.25605i	0.633034	−	0.365482i	−0.148892	−	0.988853i	$-0.547571\pi$
$293$	10.8358	−	6.25605i	0.633034	−	0.365482i	0.781926	+	0.623371i	$0.214237\pi$
$294$	−3.38142	−	9.43725i	−0.197208	−	0.550391i
$295$	4.36669	−	7.56333i	0.254239	−	0.440354i
$296$	12.5531	−	17.7446i	0.729633	−	1.03139i
$297$	3.99049	+	1.91061i	0.231552	+	0.110865i
$298$	−3.00002	+	14.4119i	−0.173786	+	0.834859i
$299$	−34.7432	−	20.0590i	−2.00925	−	1.16004i
$300$	−0.479354	−	3.43078i	−0.0276755	−	0.198076i
$301$	−5.39889	+	3.11705i	−0.311187	+	0.179664i
$302$	2.08262	+	6.31905i	0.119841	+	0.363621i
$303$	−0.116663	−	4.54064i	−0.00670213	−	0.260853i
$304$	−6.82019	−	29.6255i	−0.391165	−	1.69914i
$305$	0.125145			0.00716576
$306$	−11.4039	−	29.4244i	−0.651917	−	1.68208i
$307$		−	7.55430i		−	0.431147i	−0.976488	−	0.215573i	$-0.930838\pi$
$307$		−	7.55430i		−	0.431147i	0.976488	−	0.215573i	$-0.0691620\pi$
$308$	−1.72644	−	2.33467i	−0.0983731	−	0.133030i
$309$	−2.68064	+	4.93134i	−0.152496	+	0.280534i
$310$	8.26132	−	2.72275i	0.469212	−	0.154642i
$311$	1.49800	+	2.59461i	0.0849437	+	0.147127i	0.905367	−	0.424629i	$-0.139596\pi$
$311$	1.49800	+	2.59461i	0.0849437	+	0.147127i	−0.820424	+	0.571756i	$0.806262\pi$
$312$	−10.5406	−	21.4261i	−0.596746	−	1.21301i
$313$	−4.79146	+	8.29905i	−0.270829	+	0.469090i	−0.969074	−	0.246769i	$-0.920631\pi$
$313$	−4.79146	+	8.29905i	−0.270829	+	0.469090i	0.698245	+	0.715859i	$0.253965\pi$
$314$	0.413359	−	1.98575i	0.0233272	−	0.112062i
$315$	−4.55551	−	2.32680i	−0.256674	−	0.131101i
$316$	−2.71542	−	1.18170i	−0.152754	−	0.0664760i
$317$	23.8876	+	13.7915i	1.34166	+	0.774608i	0.987051	−	0.160406i	$-0.0512804\pi$
$317$	23.8876	+	13.7915i	1.34166	+	0.774608i	0.354610	+	0.935014i	$0.384614\pi$
$318$	−1.46120	+	8.05077i	−0.0819402	+	0.451464i
$319$	2.05754	+	3.56376i	0.115200	+	0.199532i
$320$	6.07840	+	5.20126i	0.339793	+	0.290759i
$321$	−18.9591	+	11.6053i	−1.05819	+	0.647745i
$322$	13.2184	−	14.8053i	0.736633	−	0.825069i
$323$			56.5300i			3.14541i
$324$	−13.2987	+	12.1303i	−0.738816	+	0.673907i
$325$			4.87418i			0.270371i
$326$	12.5982	+	11.2479i	0.697752	+	0.622962i
$327$	−0.873829	+	0.534891i	−0.0483228	+	0.0295796i
$328$	1.26988	−	13.7496i	0.0701173	−	0.759195i
$329$	2.06858	+	3.58288i	0.114044	+	0.197530i
$330$	2.05211	+	0.372455i	0.112965	+	0.0205030i
$331$	−27.3736	−	15.8042i	−1.50459	−	0.868676i	−0.999986	−	0.00532511i	$-0.998305\pi$
$331$	−27.3736	−	15.8042i	−1.50459	−	0.868676i	−0.504605	−	0.863351i	$-0.668362\pi$
$332$	1.15408	−	2.65194i	0.0633382	−	0.145544i
$333$	20.5314	+	10.4867i	1.12511	+	0.574669i
$334$	−3.48601	−	0.725656i	−0.190746	−	0.0397061i
$335$	−1.78801	+	3.09693i	−0.0976896	+	0.169203i
$336$	11.4404	−	2.94509i	0.624124	−	0.160668i
$337$	9.75309	+	16.8928i	0.531285	+	0.920212i	0.999333	+	0.0365092i	$0.0116238\pi$
$337$	9.75309	+	16.8928i	0.531285	+	0.920212i	−0.468049	+	0.883703i	$0.655043\pi$
$338$	4.76208	+	14.4490i	0.259023	+	0.785923i
$339$	−4.03548	+	7.42370i	−0.219177	+	0.403200i
$340$	−8.84492	−	11.9610i	−0.479683	−	0.648676i
$341$			5.23708i			0.283604i
$342$	30.0655	−	11.6524i	1.62576	−	0.630088i
$343$	−18.9141			−1.02127
$344$	4.32501	+	9.39320i	0.233189	+	0.506447i
$345$	0.366161	+	14.2513i	0.0197135	+	0.767266i
$346$	−7.95435	+	2.62158i	−0.427628	+	0.140937i
$347$	9.61891	−	5.55348i	0.516370	−	0.298126i	−0.219078	−	0.975707i	$-0.570305\pi$
$347$	9.61891	−	5.55348i	0.516370	−	0.298126i	0.735448	+	0.677581i	$0.236972\pi$
$348$	−16.5809	+	2.31671i	−0.888828	+	0.124189i
$349$	27.6857	+	15.9843i	1.48198	+	0.855621i	0.999791	−	0.0204464i	$-0.00650874\pi$
$349$	27.6857	+	15.9843i	1.48198	+	0.855621i	0.482188	+	0.876068i	$0.339842\pi$
$350$	−2.36079	−	0.491428i	−0.126189	−	0.0262679i
$351$	20.8938	−	14.3145i	1.11523	−	0.764051i
$352$	−4.11969	+	2.49551i	−0.219580	+	0.133011i
$353$	6.22716	−	10.7858i	0.331438	−	0.574068i	−0.651356	−	0.758773i	$-0.725799\pi$
$353$	6.22716	−	10.7858i	0.331438	−	0.574068i	0.982794	+	0.184704i	$0.0591328\pi$
$354$	−20.1386	+	7.21578i	−1.07036	+	0.383514i
$355$	13.6628	−	7.88821i	0.725145	−	0.418663i
$356$	1.54971	+	13.6394i	0.0821347	+	0.722885i
$357$	−21.9599	+	0.564218i	−1.16224	+	0.0298616i
$358$	15.7510	+	14.0627i	0.832467	+	0.743238i
$359$	−15.4617			−0.816040			−0.408020	−	0.912973i	$-0.633781\pi$
$359$	−15.4617			−0.816040			−0.408020	+	0.912973i	$0.633781\pi$
$360$	−4.53828	+	7.16966i	−0.239188	+	0.377874i
$361$	−38.7617			−2.04009
$362$	2.69812	+	2.40892i	0.141810	+	0.126610i
$363$	8.49963	−	15.6360i	0.446115	−	0.820677i
$364$	−16.5158	+	1.87653i	−0.865662	+	0.0983571i
$365$	7.46881	−	4.31212i	0.390935	−	0.225707i
$366$	−0.233833	−	0.198215i	−0.0122227	−	0.0103608i
$367$	−10.1337	+	17.5521i	−0.528974	+	0.916210i	0.470455	+	0.882424i	$0.344090\pi$
$367$	−10.1337	+	17.5521i	−0.528974	+	0.916210i	−0.999429	+	0.0337857i	$0.989244\pi$
$368$	−22.4384	−	24.0922i	−1.16968	−	1.25589i
$369$	14.6264	−	0.752093i	0.761420	−	0.0391524i
$370$	10.6399	+	2.21483i	0.553142	+	0.115143i
$371$	4.93269	+	2.84789i	0.256092	+	0.147855i
$372$	−19.7488	−	7.99751i	−1.02393	−	0.414652i
$373$	−16.4864	+	9.51843i	−0.853634	+	0.492846i	−0.861875	−	0.507120i	$-0.830710\pi$
$373$	−16.4864	+	9.51843i	−0.853634	+	0.492846i	0.00824132	+	0.999966i	$0.497377\pi$
$374$	8.50639	−	2.80352i	0.439855	−	0.144967i
$375$	1.47726	−	0.904267i	0.0762855	−	0.0466961i
$376$	6.23362	−	2.87021i	0.321475	−	0.148020i
$377$	23.5568			1.21324
$378$	4.82661	+	11.5631i	0.248254	+	0.594739i
$379$		−	0.186471i		−	0.00957838i	−0.999989	−	0.00478919i	$-0.998476\pi$
$379$		−	0.186471i		−	0.00957838i	0.999989	−	0.00478919i	$-0.00152445\pi$
$380$	12.2216	−	9.03764i	0.626956	−	0.463621i
$381$	−6.24591	−	10.2037i	−0.319988	−	0.522750i
$382$	−6.67476	−	20.2524i	−0.341511	−	1.03620i
$383$	7.42237	+	12.8559i	0.379265	+	0.656907i	0.990956	−	0.134191i	$-0.0428435\pi$
$383$	7.42237	+	12.8559i	0.379265	+	0.656907i	−0.611690	+	0.791097i	$0.709510\pi$
$384$	−3.11932	−	19.3461i	−0.159182	−	0.987249i
$385$	0.725916	−	1.25732i	0.0369961	−	0.0640792i
$386$	−24.6459	−	5.13036i	−1.25444	−	0.261128i
$387$	−9.20473	+	5.96474i	−0.467903	+	0.303205i
$388$	−20.8944	−	9.09285i	−1.06075	−	0.461620i
$389$	−5.58170	−	3.22259i	−0.283003	−	0.163392i	0.351779	−	0.936083i	$-0.385577\pi$
$389$	−5.58170	−	3.22259i	−0.283003	−	0.163392i	−0.634782	+	0.772691i	$0.718910\pi$
$390$	7.72013	−	9.10742i	0.390924	−	0.461172i
$391$	30.6102	+	53.0185i	1.54803	+	2.68126i
$392$	−1.06456	+	11.5265i	−0.0537685	+	0.582177i
$393$	13.0474	+	7.09249i	0.658155	+	0.357769i
$394$	−9.18994	−	8.20490i	−0.462983	−	0.413357i
$395$		−	1.48070i		−	0.0745023i
$396$	−3.24445	−	3.94624i	−0.163040	−	0.198306i
$397$		−	24.0087i		−	1.20496i	−0.798132	−	0.602482i	$-0.794178\pi$
$397$		−	24.0087i		−	1.20496i	0.798132	−	0.602482i	$-0.205822\pi$
$398$	11.7757	−	13.1894i	0.590263	−	0.661127i
$399$	−0.576512	−	22.4383i	−0.0288617	−	1.12332i
$400$	−1.17187	+	3.82449i	−0.0585933	+	0.191225i
$401$	−15.4070	−	26.6858i	−0.769391	−	1.33262i	−0.937894	−	0.346923i	$-0.887227\pi$
$401$	−15.4070	−	26.6858i	−0.769391	−	1.33262i	0.168503	−	0.985701i	$-0.446107\pi$
$402$	8.24609	−	2.95462i	0.411278	−	0.147363i
$403$	25.9632	+	14.9899i	1.29332	+	0.746698i
$404$	−2.09286	+	4.80915i	−0.104124	+	0.239264i
$405$	−8.21468	−	3.67682i	−0.408191	−	0.182703i
$406$	−2.37506	+	11.4097i	−0.117872	+	0.566251i
$407$	−3.27165	+	5.66666i	−0.162170	+	0.280886i
$408$	−2.41808	+	36.3585i	−0.119713	+	1.80001i
$409$	−6.58674	−	11.4086i	−0.325694	−	0.564118i	0.655959	−	0.754797i	$-0.272264\pi$
$409$	−6.58674	−	11.4086i	−0.325694	−	0.564118i	−0.981652	+	0.190679i	$0.938931\pi$
$410$	6.55711	−	2.16108i	0.323833	−	0.106728i
$411$	8.31665	−	0.213681i	0.410230	−	0.0105401i
$412$	5.21111	−	3.85351i	0.256733	−	0.189849i
$413$			14.8914i			0.732758i
$414$	21.8883	−	27.2086i	1.07575	−	1.33723i
$415$	1.44609			0.0709857
$416$	0.580060	+	27.5664i	0.0284398	+	1.35155i
$417$	3.23765	+	1.75996i	0.158548	+	0.0861859i
$418$	2.86461	+	8.69174i	0.140112	+	0.425127i
$419$	6.56592	−	3.79084i	0.320766	−	0.185194i	−0.330968	−	0.943642i	$-0.607375\pi$
$419$	6.56592	−	3.79084i	0.320766	−	0.185194i	0.651734	+	0.758448i	$0.274042\pi$
$420$	3.63278	+	4.65745i	0.177261	+	0.227260i
$421$	20.0571	+	11.5800i	0.977525	+	0.564374i	0.901522	−	0.432733i	$-0.142451\pi$
$421$	20.0571	+	11.5800i	0.977525	+	0.564374i	0.0760028	+	0.997108i	$0.475784\pi$
$422$	4.33295	−	20.8152i	0.210925	−	1.01327i
$423$	3.95839	+	6.10855i	0.192464	+	0.297008i
$424$	5.45652	−	7.71317i	0.264992	−	0.374584i
$425$	3.71902	−	6.44154i	0.180399	−	0.312460i
$426$	−38.0230	−	6.90112i	−1.84222	−	0.334360i
$427$	−0.184798	+	0.106693i	−0.00894298	+	0.00516323i
$428$	25.5038	−	2.89775i	1.23277	−	0.140068i
$429$	3.75285	+	6.13086i	0.181189	+	0.296001i
$430$	−3.44357	+	3.85698i	−0.166064	+	0.186000i
$431$	5.19804			0.250381			0.125190	−	0.992133i	$-0.460046\pi$
$431$	5.19804			0.250381			0.125190	+	0.992133i	$0.460046\pi$
$432$	19.8357	−	6.20843i	0.954346	−	0.298703i
$433$	−23.3246			−1.12091			−0.560454	−	0.828185i	$-0.689373\pi$
$433$	−23.3246			−1.12091			−0.560454	+	0.828185i	$0.689373\pi$
$434$	−9.87796	+	11.0639i	−0.474157	+	0.531082i
$435$	−4.37030	−	7.13958i	−0.209540	−	0.342317i
$436$	1.17548	−	0.133558i	0.0562951	−	0.00639628i
$437$	−54.1737	+	31.2772i	−2.59148	+	1.49619i
$438$	−20.7854	−	3.77252i	−0.993165	−	0.180258i
$439$	11.3432	−	19.6471i	0.541384	−	0.937704i	−0.457441	−	0.889240i	$-0.651234\pi$
$439$	11.3432	−	19.6471i	0.541384	−	0.937704i	0.998825	−	0.0484641i	$-0.0154326\pi$
$440$	−1.96606	−	1.39085i	−0.0937281	−	0.0663061i
$441$	−12.2616	+	0.630492i	−0.583884	+	0.0300234i
$442$	10.4488	−	50.1954i	0.496999	−	2.38755i
$443$	−34.5298	−	19.9358i	−1.64056	−	0.947179i	−0.980634	−	0.195851i	$-0.937253\pi$
$443$	−34.5298	−	19.9358i	−1.64056	−	0.947179i	−0.659929	−	0.751328i	$-0.729414\pi$
$444$	−16.3727	−	20.9908i	−0.777012	−	0.996179i
$445$	−5.94402	+	3.43178i	−0.281774	+	0.162682i
$446$	−6.41793	−	19.4732i	−0.303898	−	0.922082i
$447$	15.8402	+	8.61063i	0.749216	+	0.407269i
$448$	−13.4102	−	2.49837i	−0.633571	−	0.118037i
$449$	−35.4883			−1.67480			−0.837399	−	0.546593i	$-0.815925\pi$
$449$	−35.4883			−1.67480			−0.837399	+	0.546593i	$0.815925\pi$
$450$	−4.19252	−	0.650186i	−0.197637	−	0.0306501i
$451$			4.15674i			0.195733i
$452$	7.84488	−	5.80113i	0.368992	−	0.272862i
$453$	8.14603	−	0.209297i	0.382734	−	0.00983363i
$454$	−8.87808	+	2.92602i	−0.416669	+	0.137325i
$455$	−4.15551	−	7.19756i	−0.194813	−	0.337427i
$456$	−37.1507	−	2.47077i	−1.73974	−	0.115704i
$457$	−2.91052	+	5.04116i	−0.136148	+	0.235816i	−0.926035	−	0.377436i	$-0.876806\pi$
$457$	−2.91052	+	5.04116i	−0.136148	+	0.235816i	0.789887	+	0.613252i	$0.210139\pi$
$458$	3.68637	−	17.7091i	0.172253	−	0.827491i
$459$	−38.5345	+	2.97546i	−1.79864	+	0.138882i
$460$	6.56868	−	15.0941i	0.306266	−	0.703766i
$461$	26.8065	+	15.4768i	1.24850	+	0.720824i	0.970811	−	0.239845i	$-0.0770967\pi$
$461$	26.8065	+	15.4768i	1.24850	+	0.720824i	0.277693	+	0.960670i	$0.410430\pi$
$462$	−3.34783	+	1.19955i	−0.155755	+	0.0558080i
$463$	−0.117990	−	0.204365i	−0.00548346	−	0.00949764i	0.863271	−	0.504741i	$-0.168412\pi$
$463$	−0.117990	−	0.204365i	−0.00548346	−	0.00949764i	−0.868754	+	0.495244i	$0.835079\pi$
$464$	18.4837	+	5.66360i	0.858084	+	0.262926i
$465$	−0.273628	−	10.6499i	−0.0126892	−	0.493875i
$466$	7.38913	−	8.27623i	0.342295	−	0.383389i
$467$		−	12.6694i		−	0.586271i	−0.956071	−	0.293135i	$-0.905301\pi$
$467$		−	12.6694i		−	0.586271i	0.956071	−	0.293135i	$-0.0946986\pi$
$468$	−28.8502	+	4.78944i	−1.33360	+	0.221392i
$469$		−	6.09753i		−	0.281558i
$470$	2.55962	+	2.28526i	0.118066	+	0.105411i
$471$	−2.18255	−	1.18642i	−0.100566	−	0.0546673i
$472$	24.5971	+	2.27172i	1.13217	+	0.104564i
$473$	−1.55652	−	2.69597i	−0.0715687	−	0.123961i
$474$	−2.34527	+	2.76670i	−0.107722	+	0.127079i
$475$	6.58189	+	3.80006i	0.301998	+	0.174359i
$476$	23.2585	+	10.1217i	1.06605	+	0.463926i
$477$	8.92449	+	4.55833i	0.408624	+	0.208712i
$478$	12.8946	+	2.68418i	0.589787	+	0.122772i
$479$	9.15783	−	15.8618i	0.418432	−	0.724745i	−0.577350	−	0.816497i	$-0.695913\pi$
$479$	9.15783	−	15.8618i	0.418432	−	0.724745i	0.995782	+	0.0917515i	$0.0292465\pi$
$480$	8.24719	−	5.28998i	0.376431	−	0.241453i
$481$	18.7286	+	32.4389i	0.853950	+	1.47908i
$482$	10.3978	+	31.5489i	0.473608	+	1.43701i
$483$	−12.6908	−	20.7324i	−0.577450	−	0.943355i
$484$	−16.5231	+	12.2185i	−0.751050	+	0.555386i
$485$		−	11.3936i		−	0.517356i
$486$	9.52551	+	19.8813i	0.432086	+	0.901832i
$487$	−3.87542			−0.175612			−0.0878060	−	0.996138i	$-0.527986\pi$
$487$	−3.87542			−0.175612			−0.0878060	+	0.996138i	$0.527986\pi$
$488$	0.148040	+	0.321518i	0.00670145	+	0.0145544i
$489$	17.6417	−	10.7989i	0.797785	−	0.488343i
$490$	−5.49694	+	1.81167i	−0.248327	+	0.0818430i
$491$	11.6601	−	6.73195i	0.526212	−	0.303809i	−0.213261	−	0.976995i	$-0.568408\pi$
$491$	11.6601	−	6.73195i	0.526212	−	0.303809i	0.739472	+	0.673187i	$0.235075\pi$
$492$	−15.6749	−	6.34772i	−0.706679	−	0.286178i
$493$	−31.1318	−	17.9740i	−1.40211	−	0.809507i
$494$	51.2891	+	10.6765i	2.30761	+	0.480357i
$495$	1.16190	−	2.27482i	0.0522236	−	0.102246i
$496$	16.7679	+	18.0039i	0.752903	+	0.808397i
$497$	−13.4503	+	23.2966i	−0.603328	+	1.04500i
$498$	−2.70202	−	2.29044i	−0.121081	−	0.102637i
$499$	−12.3219	+	7.11404i	−0.551603	+	0.318468i	−0.749768	−	0.661700i	$-0.769835\pi$
$499$	−12.3219	+	7.11404i	−0.551603	+	0.318468i	0.198165	+	0.980169i	$0.436502\pi$
$500$	−1.98721	+	0.225788i	−0.0888709	+	0.0100976i
$501$	−2.08277	+	3.83149i	−0.0930514	+	0.171178i
$502$	7.61843	+	6.80184i	0.340027	+	0.303581i
$503$	−11.3559			−0.506335			−0.253168	−	0.967422i	$-0.581472\pi$
$503$	−11.3559			−0.506335			−0.253168	+	0.967422i	$0.581472\pi$
$504$	0.589008	−	14.4564i	0.0262365	−	0.643938i
$505$	−2.62240			−0.116695
$506$	7.39312	+	6.60068i	0.328664	+	0.293436i
$507$	18.6265	−	0.478574i	0.827234	−	0.0212542i
$508$	1.55956	+	13.7260i	0.0691941	+	0.608992i
$509$	−19.4319	+	11.2190i	−0.861305	+	0.497275i	−0.864449	−	0.502720i	$-0.832333\pi$
$509$	−19.4319	+	11.2190i	−0.861305	+	0.497275i	0.00314382	+	0.999995i	$0.498999\pi$
$510$	−17.1517	+	6.14553i	−0.759488	+	0.272129i
$511$	−7.35265	+	12.7352i	−0.325262	+	0.563371i
$512$	−6.17247	+	21.7693i	−0.272787	+	0.962074i
$513$	−3.04029	−	39.3741i	−0.134232	−	1.73841i
$514$	22.9593	+	4.77927i	1.01269	+	0.210804i
$515$	2.80642	+	1.62029i	0.123666	+	0.0713983i
$516$	12.5433	−	1.75258i	0.552190	−	0.0771528i
$517$	−1.78913	+	1.03295i	−0.0786858	+	0.0454293i
$518$	−17.5999	+	5.80055i	−0.773296	+	0.254861i
$519$	0.263461	+	10.2541i	0.0115646	+	0.450106i
$520$	−12.5226	+	5.76591i	−0.549151	+	0.252852i
$521$	23.6699			1.03700			0.518500	−	0.855078i	$-0.326491\pi$
$521$	23.6699			1.03700			0.518500	+	0.855078i	$0.326491\pi$
$522$	−3.14234	+	20.2624i	−0.137536	+	0.886861i
$523$			3.29240i			0.143967i	0.997406	+	0.0719834i	$0.0229328\pi$
$523$			3.29240i			0.143967i	−0.997406	+	0.0719834i	$0.977067\pi$
$524$	−10.1957	−	13.7876i	−0.445401	−	0.602316i
$525$	−1.41049	+	2.59476i	−0.0615589	+	0.113244i
$526$	−0.810213	−	2.45833i	−0.0353270	−	0.107188i
$527$	−22.8747	−	39.6201i	−0.996437	−	1.72588i
$528$	1.47064	+	5.71282i	0.0640016	+	0.248618i
$529$	−22.3724	+	38.7501i	−0.972712	+	1.68479i
$530$	4.62491	+	0.962733i	0.200893	+	0.0418184i
$531$	1.34544	+	26.1656i	0.0583871	+	1.13549i
$532$	−10.3422	+	23.7653i	−0.448392	+	1.03035i
$533$	20.6073	+	11.8976i	0.892602	+	0.515344i
$534$	16.5420	+	3.00235i	0.715841	+	0.129924i
$535$	6.41697	+	11.1145i	0.277430	+	0.480522i
$536$	−10.0717	−	0.930194i	−0.435030	−	0.0401782i
$537$	22.0566	−	13.5014i	0.951814	−	0.582628i
$538$	17.3190	+	15.4626i	0.746675	+	0.666642i
$539$		−	3.48466i		−	0.150095i
$540$	6.80393	+	7.85535i	0.292794	+	0.338041i
$541$			30.0651i			1.29260i	0.763084	+	0.646300i	$0.223684\pi$
$541$			30.0651i			1.29260i	−0.763084	+	0.646300i	$0.776316\pi$
$542$	4.49048	−	5.02959i	0.192883	−	0.216039i
$543$	3.77826	−	2.31276i	0.162140	−	0.0992500i
$544$	20.2667	−	36.8734i	0.868929	−	1.58093i
$545$	0.295760	+	0.512271i	0.0126690	+	0.0219433i
$546$	−3.63551	+	20.0305i	−0.155586	+	0.857227i
$547$	29.8575	+	17.2382i	1.27661	+	0.737053i	0.976224	−	0.216764i	$-0.0695501\pi$
$547$	29.8575	+	17.2382i	1.27661	+	0.737053i	0.300389	+	0.953817i	$0.402883\pi$
$548$	−8.80846	−	3.83328i	−0.376279	−	0.163750i
$549$	−0.315066	+	0.204166i	−0.0134467	+	0.00871358i
$550$	0.245397	−	1.17887i	0.0104638	−	0.0502673i
$551$	18.3656	−	31.8102i	0.782401	−	1.35516i
$552$	−36.1809	+	17.7993i	−1.53996	+	0.757590i
$553$	1.26239	+	2.18652i	0.0536821	+	0.0929801i
$554$	−44.2758	+	14.5924i	−1.88110	+	0.619970i
$555$	6.35698	−	11.6944i	0.269839	−	0.496398i
$556$	−2.53001	−	3.42133i	−0.107296	−	0.145097i
$557$		−	34.8058i		−	1.47477i	−0.675474	−	0.737384i	$-0.736061\pi$
$557$		−	34.8058i		−	1.47477i	0.675474	−	0.737384i	$-0.263939\pi$
$558$	−16.3569	+	20.3327i	−0.692441	+	0.860751i
$559$	−17.8206			−0.753730
$560$	−1.53014	−	6.64660i	−0.0646600	−	0.280870i
$561$	−0.281745	−	10.9658i	−0.0118953	−	0.462975i
$562$	−0.0597267	−	0.181222i	−0.00251942	−	0.00764438i
$563$	−25.3180	+	14.6174i	−1.06703	+	0.616048i	−0.927368	−	0.374151i	$-0.877934\pi$
$563$	−25.3180	+	14.6174i	−1.06703	+	0.616048i	−0.139659	+	0.990200i	$0.544601\pi$
$564$	−1.16306	−	8.32416i	−0.0489739	−	0.350510i
$565$	4.22482	+	2.43920i	0.177740	+	0.102618i
$566$	6.59735	−	31.6933i	0.277307	−	1.33217i
$567$	15.2651	−	1.57403i	0.641073	−	0.0661031i
$568$	36.4285	+	25.7706i	1.52851	+	1.08131i
$569$	5.77344	−	9.99988i	0.242035	−	0.419217i	−0.719259	−	0.694742i	$-0.755518\pi$
$569$	5.77344	−	9.99988i	0.242035	−	0.419217i	0.961294	+	0.275525i	$0.0888518\pi$
$570$	−6.27944	−	17.5254i	−0.263017	−	0.734058i
$571$	13.9535	−	8.05606i	0.583936	−	0.337136i	−0.178760	−	0.983893i	$-0.557209\pi$
$571$	13.9535	−	8.05606i	0.583936	−	0.337136i	0.762696	+	0.646757i	$0.223875\pi$
$572$	−0.937057	−	8.24725i	−0.0391803	−	0.344835i
$573$	−26.1079	+	0.670793i	−1.09067	+	0.0280228i
$574$	−7.84026	+	8.78152i	−0.327246	+	0.366534i
$575$	8.23072			0.343245
$576$	−23.7886	−	3.17826i	−0.991193	−	0.132427i
$577$	7.28857			0.303427			0.151714	−	0.988424i	$-0.451521\pi$
$577$	7.28857			0.303427			0.151714	+	0.988424i	$0.451521\pi$
$578$	−36.0965	+	40.4300i	−1.50141	+	1.68167i
$579$	−14.7251	+	27.0884i	−0.611954	+	1.12576i
$580$	1.09123	+	9.60417i	0.0453109	+	0.398791i
$581$	−2.13540	+	1.23287i	−0.0885913	+	0.0511482i
$582$	−18.0461	+	21.2889i	−0.748036	+	0.882455i
$583$	−1.42211	+	2.46316i	−0.0588977	+	0.102014i
$584$	19.9138	+	14.0876i	0.824038	+	0.582949i
$585$	−7.95192	−	12.2713i	−0.328771	−	0.507357i
$586$	−3.60609	+	17.3234i	−0.148966	+	0.715624i
$587$	−4.72567	−	2.72837i	−0.195049	−	0.112612i	0.399295	−	0.916823i	$-0.369255\pi$
$587$	−4.72567	−	2.72837i	−0.195049	−	0.112612i	−0.594344	+	0.804211i	$0.702588\pi$
$588$	13.1405	+	5.32141i	0.541907	+	0.219451i
$589$	40.4834	−	23.3731i	1.66809	−	0.963072i
$590$	3.86602	+	11.7302i	0.159162	+	0.482925i
$591$	−12.8690	+	7.87739i	−0.529358	+	0.324033i
$592$	6.89620	+	29.9557i	0.283432	+	1.23117i
$593$	−21.6707			−0.889911			−0.444955	−	0.895553i	$-0.646780\pi$
$593$	−21.6707			−0.889911			−0.444955	+	0.895553i	$0.646780\pi$
$594$	−5.77407	+	2.41019i	−0.236913	+	0.0988913i
$595$			12.6827i			0.519941i
$596$	−12.3781	−	16.7389i	−0.507025	−	0.685651i
$597$	−11.3057	−	18.4696i	−0.462710	−	0.755909i
$598$	53.8843	−	17.7591i	2.20349	−	0.726223i
$599$	11.4567	+	19.8436i	0.468108	+	0.810787i	0.999336	−	0.0364421i	$-0.0116024\pi$
$599$	11.4567	+	19.8436i	0.468108	+	0.810787i	−0.531228	+	0.847229i	$0.678269\pi$
$600$	4.07074	+	2.72563i	0.166187	+	0.111273i
$601$	−6.14355	+	10.6409i	−0.250601	+	0.434053i	−0.963691	−	0.267019i	$-0.913961\pi$
$601$	−6.14355	+	10.6409i	−0.250601	+	0.434053i	0.713091	+	0.701072i	$0.247295\pi$
$602$	1.79672	−	8.63134i	0.0732289	−	0.351787i
$603$	−0.550912	−	10.7139i	−0.0224349	−	0.436305i
$604$	−8.62775	−	3.75464i	−0.351058	−	0.152774i
$605$	−8.89843	−	5.13751i	−0.361773	−	0.208869i
$606$	4.89997	+	4.15358i	0.199048	+	0.168728i
$607$	6.19408	+	10.7285i	0.251410	+	0.435455i	0.963914	−	0.266213i	$-0.0857724\pi$
$607$	6.19408	+	10.7285i	0.251410	+	0.435455i	−0.712504	+	0.701668i	$0.752439\pi$
$608$	37.6768	+	20.7083i	1.52800	+	0.839833i
$609$	12.5404	+	6.81688i	0.508163	+	0.276234i
$610$	−0.117869	+	0.132020i	−0.00477238	+	0.00534532i
$611$			11.8263i			0.478441i
$612$	41.7818	+	15.6833i	1.68893	+	0.633960i
$613$		−	27.3489i		−	1.10461i	−0.833641	−	0.552307i	$-0.813748\pi$
$613$		−	27.3489i		−	1.10461i	0.833641	−	0.552307i	$-0.186252\pi$
$614$	7.96932	+	7.11512i	0.321616	+	0.287143i
$615$	−0.217182	−	8.45292i	−0.00875763	−	0.340855i
$616$	4.08900	+	0.377650i	0.164751	+	0.0152159i
$617$	20.9931	+	36.3612i	0.845152	+	1.46385i	0.885489	+	0.464660i	$0.153824\pi$
$617$	20.9931	+	36.3612i	0.845152	+	1.46385i	−0.0403370	+	0.999186i	$0.512843\pi$
$618$	−2.67746	−	7.47255i	−0.107703	−	0.300590i
$619$	12.6202	+	7.28628i	0.507249	+	0.292860i	0.731702	−	0.681625i	$-0.238726\pi$
$619$	12.6202	+	7.28628i	0.507249	+	0.292860i	−0.224453	+	0.974485i	$0.572060\pi$
$620$	−4.90870	+	11.2796i	−0.197138	+	0.453001i
$621$	−24.1720	−	35.2820i	−0.969989	−	1.41582i
$622$	−4.14806	−	0.863471i	−0.166322	−	0.0346220i
$623$	5.85158	−	10.1352i	0.234439	−	0.406060i
$624$	32.5310	+	9.06071i	1.30228	+	0.362718i
$625$	−0.500000	−	0.866025i	−0.0200000	−	0.0346410i
$626$	−4.24209	−	12.8713i	−0.169548	−	0.514439i
$627$	11.2047	−	0.287884i	0.447473	−	0.0114970i
$628$	1.70552	+	2.30637i	0.0680575	+	0.0920342i
$629$		−	57.1600i		−	2.27912i
$630$	6.74530	−	2.61425i	0.268739	−	0.104154i
$631$	4.09355			0.162962			0.0814809	−	0.996675i	$-0.474035\pi$
$631$	4.09355			0.162962			0.0814809	+	0.996675i	$0.474035\pi$
$632$	3.80418	−	1.75160i	0.151322	−	0.0696749i
$633$	−22.8781	−	12.4364i	−0.909323	−	0.494302i
$634$	−37.0480	+	12.2102i	−1.47136	+	0.484930i
$635$	−5.98177	+	3.45358i	−0.237379	+	0.137051i
$636$	−7.11681	−	9.12420i	−0.282200	−	0.361798i
$637$	−17.2755	−	9.97399i	−0.684479	−	0.395184i
$638$	−5.69747	−	1.18600i	−0.225565	−	0.0469542i
$639$	−21.5286	+	42.1495i	−0.851657	+	1.66741i
$640$	−11.2120	+	1.51346i	−0.443194	+	0.0598248i
$641$	−1.86602	+	3.23204i	−0.0737034	+	0.127658i	−0.900522	−	0.434811i	$-0.856815\pi$
$641$	−1.86602	+	3.23204i	−0.0737034	+	0.127658i	0.826818	+	0.562469i	$0.190148\pi$
$642$	5.61398	−	30.9313i	0.221566	−	1.22076i
$643$	15.5519	−	8.97887i	0.613305	−	0.354092i	−0.160953	−	0.986962i	$-0.551457\pi$
$643$	15.5519	−	8.97887i	0.613305	−	0.354092i	0.774258	+	0.632870i	$0.218123\pi$
$644$	3.16879	+	27.8892i	0.124868	+	1.09899i
$645$	3.30611	+	5.40105i	0.130178	+	0.212666i
$646$	−59.6356	−	53.2435i	−2.34633	−	2.09484i
$647$	−3.42368			−0.134599			−0.0672993	−	0.997733i	$-0.521438\pi$
$647$	−3.42368			−0.134599			−0.0672993	+	0.997733i	$0.521438\pi$
$648$	−0.271194	−	25.4544i	−0.0106535	−	0.999943i
$649$	−7.43611			−0.291893
$650$	−5.14195	−	4.59081i	−0.201684	−	0.180066i
$651$	9.48366	+	15.4931i	0.371694	+	0.607221i
$652$	−23.7316	+	2.69640i	−0.929402	+	0.105599i
$653$	30.9789	−	17.8857i	1.21230	−	0.699922i	0.249040	−	0.968493i	$-0.419885\pi$
$653$	30.9789	−	17.8857i	1.21230	−	0.699922i	0.963260	+	0.268572i	$0.0865516\pi$
$654$	0.258750	−	1.42563i	0.0101179	−	0.0557465i
$655$	4.28698	−	7.42527i	0.167506	−	0.290129i
$656$	13.3089	+	14.2899i	0.519626	+	0.557926i
$657$	−11.7687	+	23.0412i	−0.459139	+	0.898922i
$658$	−5.72803	−	1.19236i	−0.223302	−	0.0464831i
$659$	21.3841	+	12.3461i	0.833007	+	0.480937i	0.854881	−	0.518824i	$-0.173630\pi$
$659$	21.3841	+	12.3461i	0.833007	+	0.480937i	−0.0218742	+	0.999761i	$0.506963\pi$
$660$	−2.32572	+	1.81405i	−0.0905287	+	0.0706117i
$661$	24.7481	−	14.2883i	0.962590	−	0.555752i	0.0656207	−	0.997845i	$-0.479097\pi$
$661$	24.7481	−	14.2883i	0.962590	−	0.555752i	0.896969	+	0.442093i	$0.145764\pi$
$662$	42.4546	−	13.9921i	1.65005	−	0.543819i
$663$	−55.1700	−	29.9901i	−2.14263	−	1.16472i
$664$	1.71065	+	3.71525i	0.0663861	+	0.144179i
$665$	−12.9591			−0.502531
$666$	−30.4006	+	11.7822i	−1.17800	+	0.456553i
$667$		−	39.7789i		−	1.54025i
$668$	4.04886	−	2.99405i	0.156655	−	0.115843i
$669$	−25.1033	+	0.644983i	−0.970550	+	0.0249365i
$670$	−1.58301	−	4.80313i	−0.0611568	−	0.185561i
$671$	−0.0532777	−	0.0922796i	−0.00205676	−	0.00356242i
$672$	−7.66839	+	14.8428i	−0.295814	+	0.572572i
$673$	−6.23671	+	10.8023i	−0.240408	+	0.416398i	−0.960830	−	0.277137i	$-0.910614\pi$
$673$	−6.23671	+	10.8023i	−0.240408	+	0.416398i	0.720423	+	0.693535i	$0.243948\pi$
$674$	−27.0070	−	5.62184i	−1.04027	−	0.216545i
$675$	−2.24393	+	4.68666i	−0.0863688	+	0.180390i
$676$	−19.7280	−	8.58529i	−0.758771	−	0.330204i
$677$	−10.6396	−	6.14276i	−0.408912	−	0.236085i	0.281410	−	0.959588i	$-0.409198\pi$
$677$	−10.6396	−	6.14276i	−0.408912	−	0.236085i	−0.690322	+	0.723502i	$0.742531\pi$
$678$	−4.03068	−	11.2493i	−0.154797	−	0.432026i
$679$	9.71367	+	16.8246i	0.372777	+	0.645668i
$680$	20.9488	+	1.93478i	0.803350	+	0.0741954i
$681$	0.294056	+	11.4449i	0.0112683	+	0.438571i
$682$	−5.52480	−	4.93261i	−0.211555	−	0.188879i
$683$			16.0107i			0.612631i	0.951930	+	0.306316i	$0.0990963\pi$
$683$			16.0107i			0.612631i	−0.951930	+	0.306316i	$0.900904\pi$
$684$	−16.0250	+	42.6922i	−0.612732	+	1.63238i
$685$		−	4.80320i		−	0.183521i
$686$	17.8145	−	19.9532i	0.680161	−	0.761818i
$687$	−19.4641	−	10.5806i	−0.742603	−	0.403674i
$688$	−13.9828	−	4.28448i	−0.533090	−	0.163344i
$689$	8.14087	+	14.1004i	0.310142	+	0.537182i
$690$	−15.3791	−	13.0365i	−0.585474	−	0.496292i
$691$	−21.5291	−	12.4298i	−0.819007	−	0.472854i	0.0310672	−	0.999517i	$-0.490109\pi$
$691$	−21.5291	−	12.4298i	−0.819007	−	0.472854i	−0.850074	+	0.526664i	$0.823443\pi$
$692$	4.72630	−	10.8605i	0.179667	−	0.412855i
$693$	0.223665	+	4.34975i	0.00849634	+	0.165233i
$694$	−3.20112	+	15.3780i	−0.121513	+	0.583740i
$695$	1.06379	−	1.84254i	0.0403519	−	0.0698916i
$696$	13.1729	−	19.6738i	0.499319	−	0.745734i
$697$	−18.1559	−	31.4470i	−0.687705	−	1.19114i
$698$	−42.9386	+	14.1516i	−1.62525	+	0.535646i
$699$	−7.09418	−	11.5895i	−0.268327	−	0.438354i
$700$	2.74197	−	2.02763i	0.103637	−	0.0766372i
$701$			15.3781i			0.580823i	0.956902	+	0.290412i	$0.0937922\pi$
$701$			15.3781i			0.580823i	−0.956902	+	0.290412i	$0.906208\pi$
$702$	−4.57817	+	35.5239i	−0.172792	+	1.34076i
$703$	58.4055			2.20281
$704$	1.24757	−	6.69644i	0.0470197	−	0.252382i
$705$	3.58431	−	2.19404i	0.134993	−	0.0826323i
$706$	5.51318	+	16.7280i	0.207491	+	0.629566i
$707$	3.87243	−	2.23575i	0.145638	−	0.0840839i
$708$	11.3556	−	28.0413i	0.426771	−	1.05386i
$709$	24.7760	+	14.3045i	0.930484	+	0.537215i	0.886965	−	0.461838i	$-0.152810\pi$
$709$	24.7760	+	14.3045i	0.930484	+	0.537215i	0.0435192	+	0.999053i	$0.486143\pi$
$710$	−4.54689	+	21.8430i	−0.170642	+	0.819753i
$711$	2.41568	+	3.72785i	0.0905950	+	0.139805i
$712$	−15.8483	−	11.2116i	−0.593940	−	0.420171i
$713$	25.3124	−	43.8424i	0.947959	−	1.64191i
$714$	20.0880	−	23.6977i	0.751773	−	0.886864i
$715$	3.59414	−	2.07508i	0.134413	−	0.0776035i
$716$	−29.6706	+	3.37119i	−1.10884	+	0.125987i
$717$	7.70411	−	14.1726i	0.287715	−	0.529284i
$718$	14.5628	−	16.3112i	0.543481	−	0.608728i
$719$	−46.4531			−1.73241			−0.866203	−	0.499692i	$-0.833447\pi$
$719$	−46.4531			−1.73241			−0.866203	+	0.499692i	$0.833447\pi$
$720$	−3.28911	−	11.5404i	−0.122578	−	0.430087i
$721$	−5.52554			−0.205782
$722$	36.5082	−	40.8912i	1.35870	−	1.52181i
$723$	40.6704	−	1.04495i	1.51255	−	0.0388621i
$724$	−5.08251	+	0.577478i	−0.188890	+	0.0214618i
$725$	−4.18548	+	2.41649i	−0.155445	+	0.0897462i
$726$	8.48953	+	23.6935i	0.315076	+	0.879350i
$727$	−11.5164	+	19.9471i	−0.427121	+	0.739796i	−0.996616	−	0.0821993i	$-0.973806\pi$
$727$	−11.5164	+	19.9471i	−0.427121	+	0.739796i	0.569495	+	0.821995i	$0.307139\pi$
$728$	13.5760	−	19.1906i	0.503159	−	0.711250i
$729$	26.6799	−	4.14492i	0.988146	−	0.153515i
$730$	−2.48558	+	11.9406i	−0.0919953	+	0.441940i
$731$	23.5510	+	13.5972i	0.871067	+	0.502911i
$732$	0.429343	−	0.0599885i	0.0158690	−	0.00221724i
$733$	−30.0044	+	17.3230i	−1.10824	+	0.639841i	−0.938372	−	0.345626i	$-0.887666\pi$
$733$	−30.0044	+	17.3230i	−1.10824	+	0.639841i	−0.169865	+	0.985467i	$0.554333\pi$
$734$	−8.97179	−	27.2220i	−0.331155	−	1.00478i
$735$	0.182067	+	7.08623i	0.00671566	+	0.261379i
$736$	46.5497	−	0.979512i	1.71584	−	0.0361053i
$737$	3.04483			0.112158
$738$	−12.9826	+	16.1383i	−0.477898	+	0.594059i
$739$		−	6.48507i		−	0.238557i	−0.992861	−	0.119279i	$-0.961942\pi$
$739$		−	6.48507i		−	0.238557i	0.992861	−	0.119279i	$-0.0380582\pi$
$740$	−12.3578	+	9.13837i	−0.454283	+	0.335933i
$741$	30.6435	−	56.3721i	1.12572	−	2.07088i
$742$	−7.65026	+	2.52136i	−0.280850	+	0.0925620i
$743$	−16.1158	−	27.9133i	−0.591230	−	1.02404i	−0.994067	−	0.108769i	$-0.965309\pi$
$743$	−16.1158	−	27.9133i	−0.591230	−	1.02404i	0.402837	−	0.915272i	$-0.368024\pi$
$744$	27.0376	−	13.3012i	0.991246	−	0.487647i
$745$	5.20460	−	9.01464i	0.190682	−	0.330271i
$746$	5.48658	−	26.3572i	0.200878	−	0.965006i
$747$	−3.64070	+	2.35920i	−0.133206	+	0.0863188i
$748$	−5.05431	+	11.6142i	−0.184804	+	0.424659i
$749$	−18.9515	−	10.9417i	−0.692473	−	0.399800i
$750$	−0.437433	+	2.41011i	−0.0159728	+	0.0880049i
$751$	−14.8481	−	25.7176i	−0.541813	−	0.938448i	−0.998800	−	0.0489749i	$-0.984405\pi$
$751$	−14.8481	−	25.7176i	−0.541813	−	0.938448i	0.456987	−	0.889474i	$-0.348929\pi$
$752$	−2.84332	+	9.27944i	−0.103685	+	0.338386i
$753$	10.6683	−	6.53033i	0.388775	−	0.237978i
$754$	−22.1873	+	24.8510i	−0.808013	+	0.905019i
$755$		−	4.70466i		−	0.171220i
$756$	−16.7443	−	5.79904i	−0.608985	−	0.210909i
$757$			43.7677i			1.59076i	0.606109	+	0.795382i	$0.292730\pi$
$757$			43.7677i			1.59076i	−0.606109	+	0.795382i	$0.707270\pi$
$758$	0.196716	+	0.175630i	0.00714503	+	0.00637918i
$759$	10.3528	−	6.33720i	0.375783	−	0.230026i
$760$	−1.97694	+	21.4053i	−0.0717111	+	0.776451i
$761$	22.5786	+	39.1073i	0.818473	+	1.41764i	0.906807	+	0.421546i	$0.138512\pi$
$761$	22.5786	+	39.1073i	0.818473	+	1.41764i	−0.0883337	+	0.996091i	$0.528154\pi$
$762$	16.6470	+	3.02141i	0.603058	+	0.109454i
$763$	−0.873480	−	0.504304i	−0.0316221	−	0.0182570i
$764$	27.6518	+	12.0336i	1.00041	+	0.435359i
$765$	1.14588	+	22.2847i	0.0414295	+	0.805705i
$766$	−20.5530	−	4.27837i	−0.742612	−	0.154584i
$767$	−21.2840	+	36.8650i	−0.768521	+	1.33112i
$768$	23.3469	+	14.9306i	0.842457	+	0.538763i
$769$	−24.5441	−	42.5116i	−0.885081	−	1.53301i	−0.845620	−	0.533785i	$-0.820769\pi$
$769$	−24.5441	−	42.5116i	−0.885081	−	1.53301i	−0.0394608	−	0.999221i	$-0.512564\pi$
$770$	0.642685	+	1.95002i	0.0231608	+	0.0702740i
$771$	13.7174	−	25.2347i	0.494021	−	0.908805i
$772$	28.6253	−	21.1678i	1.03025	−	0.761847i
$773$		−	43.6235i		−	1.56903i	−0.620110	−	0.784515i	$-0.712912\pi$
$773$		−	43.6235i		−	1.56903i	0.620110	−	0.784515i	$-0.287088\pi$
$774$	2.37716	−	15.3284i	0.0854453	−	0.550967i
$775$	−6.15072			−0.220941
$776$	29.2720	−	13.4780i	1.05080	−	0.483833i
$777$	0.582937	+	22.6884i	0.0209128	+	0.813943i
$778$	8.65683	−	2.85310i	0.310362	−	0.102289i
$779$	32.1322	−	18.5515i	1.15125	−	0.664677i
$780$	2.33645	+	16.7222i	0.0836585	+	0.598751i
$781$	−11.6333	−	6.71648i	−0.416272	−	0.240334i
$782$	−84.7619	−	17.6442i	−3.03108	−	0.630957i
$783$	22.6505	+	10.8449i	0.809464	+	0.387564i
$784$	−11.1571	−	11.9795i	−0.398468	−	0.427838i
$785$	−0.717118	+	1.24208i	−0.0255950	+	0.0443319i
$786$	−19.7710	+	7.08406i	−0.705209	+	0.252680i
$787$	−22.5585	+	13.0242i	−0.804124	+	0.464261i	−0.844911	−	0.534907i	$-0.820347\pi$
$787$	−22.5585	+	13.0242i	−0.804124	+	0.464261i	0.0407870	+	0.999168i	$0.487013\pi$
$788$	17.3113	−	1.96692i	0.616691	−	0.0700688i
$789$	−3.16909	+	0.0814239i	−0.112823	+	0.00289877i
$790$	1.56205	+	1.39462i	0.0555753	+	0.0496184i
$791$	−8.31823			−0.295762
$792$	7.21887	+	0.294124i	0.256511	+	0.0104512i
$793$	−0.609977			−0.0216609
$794$	25.3277	+	22.6129i	0.898848	+	0.802504i
$795$	2.76323	−	5.08326i	0.0980016	−	0.180285i
$796$	2.82294	+	24.8453i	0.100056	+	0.880618i
$797$	7.64772	−	4.41541i	0.270896	−	0.156402i	−0.358399	−	0.933569i	$-0.616677\pi$
$797$	7.64772	−	4.41541i	0.270896	−	0.156402i	0.629295	+	0.777167i	$0.283344\pi$
$798$	24.2141	+	20.5257i	0.857169	+	0.726601i
$799$	9.02354	−	15.6292i	0.319230	−	0.552922i
$800$	−2.93086	−	4.83839i	−0.103622	−	0.171063i
$801$	9.36604	−	18.3372i	0.330933	−	0.647914i
$802$	42.6632	+	8.88087i	1.50649	+	0.313594i
$803$	−6.35937	−	3.67159i	−0.224417	−	0.129567i
$804$	−4.64975	+	11.4820i	−0.163984	+	0.404937i
$805$	−12.1541	+	7.01716i	−0.428375	+	0.247322i
$806$	−40.2671	+	13.2712i	−1.41835	+	0.467457i
$807$	24.2523	−	14.8454i	0.853722	−	0.522584i
$808$	−3.10217	−	6.73740i	−0.109134	−	0.237021i
$809$	35.5039			1.24825			0.624125	−	0.781325i	$-0.285456\pi$
$809$	35.5039			1.24825			0.624125	+	0.781325i	$0.285456\pi$
$810$	11.6159	−	5.20292i	0.408142	−	0.182812i
$811$			21.2397i			0.745827i	0.927866	+	0.372913i	$0.121641\pi$
$811$			21.2397i			0.745827i	−0.927866	+	0.372913i	$0.878359\pi$
$812$	−9.79949	−	13.2519i	−0.343895	−	0.465049i
$813$	−4.31124	−	7.04309i	−0.151202	−	0.247012i
$814$	−2.89653	−	8.78861i	−0.101523	−	0.308041i
$815$	−5.97108	−	10.3422i	−0.209158	−	0.362272i
$816$	−36.0785	−	36.7957i	−1.26300	−	1.28811i
$817$	−13.8935	+	24.0642i	−0.486071	+	0.841900i
$818$	18.2392	+	3.79671i	0.637717	+	0.132749i
$819$	22.2044	+	11.3413i	0.775884	+	0.396295i
$820$	−3.89610	+	8.95279i	−0.136058	+	0.312645i
$821$	−2.28507	−	1.31928i	−0.0797493	−	0.0460433i	0.459595	−	0.888129i	$-0.347995\pi$
$821$	−2.28507	−	1.31928i	−0.0797493	−	0.0460433i	−0.539344	+	0.842085i	$0.681328\pi$
$822$	−7.60772	+	8.97480i	−0.265350	+	0.313032i
$823$	−25.2381	−	43.7136i	−0.879744	−	1.52376i	−0.851622	−	0.524156i	$-0.824381\pi$
$823$	−25.2381	−	43.7136i	−0.879744	−	1.52376i	−0.0281216	−	0.999605i	$-0.508953\pi$
$824$	−0.842936	+	9.12688i	−0.0293651	+	0.317950i
$825$	−1.29570	−	0.704337i	−0.0451106	−	0.0245219i
$826$	−15.7095	−	14.0257i	−0.546604	−	0.488015i
$827$		−	3.65338i		−	0.127041i	−0.997981	−	0.0635203i	$-0.979767\pi$
$827$		−	3.65338i		−	0.127041i	0.997981	−	0.0635203i	$-0.0202328\pi$
$828$	8.08764	+	48.7176i	0.281065	+	1.69305i
$829$			6.45567i			0.224215i	0.993696	+	0.112107i	$0.0357600\pi$
$829$			6.45567i			0.224215i	−0.993696	+	0.112107i	$0.964240\pi$
$830$	−1.36202	+	1.52553i	−0.0472763	+	0.0529521i
$831$	1.46649	+	57.0770i	0.0508719	+	1.97998i
$832$	−29.6272	−	25.3518i	−1.02714	−	0.878917i
$833$	15.2204	+	26.3625i	0.527356	+	0.913408i
$834$	−4.90608	+	1.75787i	−0.169884	+	0.0608702i
$835$	2.18050	+	1.25891i	0.0754592	+	0.0435664i
$836$	−11.8673	−	5.16444i	−0.410439	−	0.178616i
$837$	18.0635	+	26.3659i	0.624365	+	0.911338i
$838$	−2.18510	+	10.4971i	−0.0754830	+	0.362616i
$839$	11.6806	−	20.2314i	0.403260	−	0.698467i	−0.590857	−	0.806776i	$-0.701210\pi$
$839$	11.6806	−	20.2314i	0.403260	−	0.698467i	0.994117	+	0.108309i	$0.0345437\pi$
$840$	−8.33491	−	0.554326i	−0.287582	−	0.0191261i
$841$	−2.82115	−	4.88637i	−0.0972809	−	0.168496i
$842$	−31.1072	+	10.2523i	−1.07203	+	0.353316i
$843$	−0.233617	+	0.00600235i	−0.00804620	+	0.000206732i
$844$	17.8777	+	24.1761i	0.615376	+	0.832174i
$845$		−	10.7576i		−	0.370072i
$846$	−10.1724	−	1.57756i	−0.349734	−	0.0542376i
$847$	17.5201			0.601997
$848$	2.99762	+	13.0210i	0.102939	+	0.447144i
$849$	−34.8342	−	18.9356i	−1.19551	−	0.649870i
$850$	3.29261	+	9.99038i	0.112936	+	0.342667i
$851$	54.7775	−	31.6258i	1.87775	−	1.08412i
$852$	43.0927	−	33.6120i	1.47633	−	1.15153i
$853$	−42.3416	−	24.4459i	−1.44975	−	0.837013i	−0.451283	−	0.892381i	$-0.649034\pi$
$853$	−42.3416	−	24.4459i	−1.44975	−	0.837013i	−0.998466	+	0.0553674i	$0.982367\pi$
$854$	0.0614995	−	0.295440i	0.00210447	−	0.0101097i
$855$	−22.7703	+	1.17085i	−0.778726	+	0.0400423i
$856$	−20.9641	+	29.6342i	−0.716538	+	1.01288i
$857$	3.30440	−	5.72339i	0.112876	−	0.195507i	−0.804053	−	0.594558i	$-0.797327\pi$
$857$	3.30440	−	5.72339i	0.112876	−	0.195507i	0.916929	+	0.399051i	$0.130660\pi$
$858$	−10.0023	−	1.81541i	−0.341475	−	0.0619772i
$859$	27.7178	−	16.0029i	0.945721	−	0.546012i	0.0539718	−	0.998542i	$-0.482812\pi$
$859$	27.7178	−	16.0029i	0.945721	−	0.546012i	0.891749	+	0.452530i	$0.149479\pi$
$860$	−0.825510	−	7.26550i	−0.0281497	−	0.247751i
$861$	7.52730	+	12.2970i	0.256530	+	0.419082i
$862$	−4.89584	+	5.48360i	−0.166753	+	0.186772i
$863$	23.8402			0.811529			0.405765	−	0.913978i	$-0.367005\pi$
$863$	23.8402			0.811529			0.405765	+	0.913978i	$0.367005\pi$
$864$	−12.1330	+	26.7729i	−0.412774	+	0.910834i
$865$	5.92217			0.201360
$866$	21.9686	−	24.6060i	0.746522	−	0.836146i
$867$	34.6556	+	56.6154i	1.17697	+	1.92276i
$868$	−2.36800	−	20.8413i	−0.0803751	−	0.707399i
$869$	−1.09185	+	0.630379i	−0.0370384	+	0.0213841i
$870$	11.6480	+	2.11410i	0.394905	+	0.0716748i
$871$	8.71509	−	15.0950i	0.295299	−	0.511474i
$872$	−0.966241	+	1.36585i	−0.0327211	+	0.0462534i
$873$	18.5879	+	28.6847i	0.629106	+	0.970830i
$874$	18.0287	−	86.6088i	0.609830	−	2.92959i
$875$	1.47667	+	0.852557i	0.0499206	+	0.0288217i
$876$	23.5568	−	18.3741i	0.795909	−	0.620803i
$877$	25.5474	−	14.7498i	0.862676	−	0.498066i	−0.00223174	−	0.999998i	$-0.500710\pi$
$877$	25.5474	−	14.7498i	0.862676	−	0.498066i	0.864907	+	0.501931i	$0.167377\pi$
$878$	10.0427	+	30.4713i	0.338924	+	1.02836i
$879$	19.0403	+	10.3502i	0.642212	+	0.349102i
$880$	3.31902	−	0.764081i	0.111884	−	0.0257572i
$881$	−25.3451			−0.853897			−0.426948	−	0.904276i	$-0.640411\pi$
$881$	−25.3451			−0.853897			−0.426948	+	0.904276i	$0.640411\pi$
$882$	10.8836	−	13.5290i	0.366469	−	0.455546i
$883$			45.7843i			1.54077i	0.637582	+	0.770383i	$0.279935\pi$
$883$			45.7843i			1.54077i	−0.637582	+	0.770383i	$0.720065\pi$
$884$	43.1117	+	58.3000i	1.45000	+	1.96084i
$885$	15.1217	−	0.388523i	0.508309	−	0.0130601i
$886$	53.5534	−	17.6500i	1.79916	−	0.592965i
$887$	−6.58210	−	11.4005i	−0.221005	−	0.382793i	0.734108	−	0.679033i	$-0.237601\pi$
$887$	−6.58210	−	11.4005i	−0.221005	−	0.382793i	−0.955114	+	0.296240i	$0.904267\pi$
$888$	37.5648	+	2.49830i	1.26059	+	0.0838376i
$889$	5.88874	−	10.1996i	0.197502	−	0.342084i
$890$	1.97814	−	9.50284i	0.0663072	−	0.318536i
$891$	0.786000	+	7.62270i	0.0263320	+	0.255370i
$892$	26.5878	+	11.5705i	0.890226	+	0.387410i
$893$	15.9698	+	9.22015i	0.534408	+	0.308541i
$894$	−24.0030	+	8.60040i	−0.802780	+	0.287640i
$895$	−7.46537	−	12.9304i	−0.249540	−	0.432216i
$896$	15.2662	−	11.7938i	0.510007	−	0.394002i
$897$	−1.78473	−	69.4635i	−0.0595905	−	2.31932i
$898$	33.4251	−	37.4380i	1.11541	−	1.24932i
$899$			29.7263i			0.991429i
$900$	4.63469	−	3.81047i	0.154490	−	0.127016i
$901$		−	24.8461i		−	0.827744i
$902$	−4.38510	−	3.91508i	−0.146008	−	0.130358i
$903$	−9.48674	−	5.15693i	−0.315699	−	0.171612i
$904$	−1.26897	+	13.7397i	−0.0422052	+	0.456977i
$905$	−1.27880	−	2.21495i	−0.0425089	−	0.0736275i
$906$	−7.45165	+	8.79068i	−0.247564	+	0.292051i
$907$	−44.7628	−	25.8438i	−1.48632	−	0.858130i	−0.486445	−	0.873711i	$-0.661707\pi$
$907$	−44.7628	−	25.8438i	−1.48632	−	0.858130i	−0.999879	+	0.0155815i	$0.995040\pi$
$908$	5.27517	−	12.1217i	0.175063	−	0.402274i
$909$	6.60221	−	4.27829i	0.218982	−	0.141902i
$910$	11.5069	+	2.39531i	0.381450	+	0.0794036i
$911$	−0.945248	+	1.63722i	−0.0313175	+	0.0542435i	−0.881259	−	0.472633i	$-0.843304\pi$
$911$	−0.945248	+	1.63722i	−0.0313175	+	0.0542435i	0.849942	+	0.526876i	$0.176637\pi$
$912$	37.5974	−	36.8646i	1.24497	−	1.22071i
$913$	−0.615642	−	1.06632i	−0.0203748	−	0.0352901i
$914$	−2.57681	−	7.81850i	−0.0852332	−	0.258613i
$915$	0.113164	+	0.184871i	0.00374109	+	0.00611166i
$916$	15.2099	+	20.5684i	0.502550	+	0.679600i
$917$			14.6196i			0.482781i
$918$	33.1553	−	43.4540i	1.09429	−	1.43420i
$919$	22.9700			0.757709			0.378855	−	0.925456i	$-0.376318\pi$
$919$	22.9700			0.757709			0.378855	+	0.925456i	$0.376318\pi$
$920$	9.73653	+	21.1461i	0.321004	+	0.697167i
$921$	11.1597	−	6.83110i	0.367724	−	0.225093i
$922$	−41.5751	+	13.7022i	−1.36920	+	0.451259i
$923$	−66.5948	+	38.4485i	−2.19199	+	1.26555i
$924$	1.88775	−	4.66157i	0.0621025	−	0.153354i
$925$	−6.65525	−	3.84241i	−0.218823	−	0.126338i
$926$	0.326723	+	0.0680114i	0.0107368	+	0.00223499i
$927$	−9.70889	+	0.499233i	−0.318882	+	0.0163970i
$928$	−23.3839	+	14.1648i	−0.767613	+	0.464983i
$929$	−20.2184	+	35.0193i	−0.663344	+	1.14894i	0.316388	+	0.948630i	$0.397530\pi$
$929$	−20.2184	+	35.0193i	−0.663344	+	1.14894i	−0.979732	+	0.200315i	$0.935803\pi$
$930$	11.4927	+	9.74204i	0.376859	+	0.319454i
$931$	−26.9370	+	15.5521i	−0.882823	+	0.509698i
$932$	1.77136	+	15.5902i	0.0580229	+	0.510672i
$933$	−2.47833	+	4.55916i	−0.0811368	+	0.149260i
$934$	13.3654	+	11.9329i	0.437331	+	0.390455i
$935$	−6.33318			−0.207117
$936$	22.1204	−	34.9462i	0.723027	−	1.14225i
$937$	−41.0183			−1.34001			−0.670004	−	0.742357i	$-0.733708\pi$
$937$	−41.0183			−1.34001			−0.670004	+	0.742357i	$0.733708\pi$
$938$	6.43252	+	5.74304i	0.210029	+	0.187517i
$939$	−16.5926	+	0.426317i	−0.541480	+	0.0139123i
$940$	−4.82162	+	0.547835i	−0.157264	+	0.0178684i
$941$	−39.6259	+	22.8780i	−1.29177	+	0.745803i	−0.978968	−	0.204016i	$-0.934600\pi$
$941$	−39.6259	+	22.8780i	−1.29177	+	0.745803i	−0.312801	+	0.949819i	$0.601267\pi$
$942$	3.30726	−	1.18501i	0.107756	−	0.0386097i
$943$	20.0908	−	34.7983i	0.654247	−	1.13319i
$944$	−25.5636	+	23.8087i	−0.832024	+	0.774908i
$945$	−0.682100	−	8.83374i	−0.0221887	−	0.287361i
$946$	4.31010	+	0.897202i	0.140134	+	0.0291705i
$947$	12.9783	+	7.49303i	0.421738	+	0.243491i	0.695821	−	0.718215i	$-0.255041\pi$
$947$	12.9783	+	7.49303i	0.421738	+	0.243491i	−0.274082	+	0.961706i	$0.588374\pi$
$948$	−0.709781	−	5.07997i	−0.0230526	−	0.164990i
$949$	−36.4043	+	21.0180i	−1.18173	+	0.682274i
$950$	−10.2081	+	3.36436i	−0.331193	+	0.109154i
$951$	1.22709	+	47.7594i	0.0397911	+	1.54871i
$952$	−32.5840	+	15.0030i	−1.05605	+	0.486251i
$953$	25.2006			0.816328			0.408164	−	0.912909i	$-0.366169\pi$
$953$	25.2006			0.816328			0.408164	+	0.912909i	$0.366169\pi$
$954$	−13.2144	+	5.12146i	−0.427832	+	0.165813i
$955$			15.0784i			0.487924i
$956$	−14.9766	+	11.0749i	−0.484379	+	0.358188i
$957$	−3.40405	+	6.26212i	−0.110037	+	0.202425i
$958$	8.10782	+	24.6006i	0.261952	+	0.794809i
$959$	4.09500	+	7.09276i	0.132235	+	0.229037i
$960$	−2.18712	+	13.6827i	−0.0705891	+	0.441607i
$961$	−3.41570	+	5.91617i	−0.110184	+	0.190844i
$962$	−51.8607	−	10.7955i	−1.67206	−	0.348060i
$963$	−34.2881	−	17.5132i	−1.10492	−	0.564356i
$964$	−43.0755	−	18.7457i	−1.38737	−	0.603758i
$965$	15.4160	+	8.90043i	0.496259	+	0.286515i
$966$	33.8243	+	6.13907i	1.08828	+	0.197521i
$967$	8.41510	+	14.5754i	0.270611	+	0.468713i	0.969019	−	0.246988i	$-0.0794408\pi$
$967$	8.41510	+	14.5754i	0.270611	+	0.468713i	−0.698407	+	0.715701i	$0.746107\pi$
$968$	2.67273	−	28.9390i	0.0859049	−	0.930134i
$969$	−83.5096	+	51.1182i	−2.68271	+	1.64215i
$970$	12.0195	+	10.7312i	0.385923	+	0.344558i
$971$		−	17.1970i		−	0.551877i	−0.961175	−	0.275938i	$-0.911011\pi$
$971$		−	17.1970i		−	0.551877i	0.961175	−	0.275938i	$-0.0889885\pi$
$972$	−29.9452	−	8.67660i	−0.960494	−	0.278302i
$973$			3.62777i			0.116301i
$974$	3.65011	−	4.08833i	0.116957	−	0.130998i
$975$	−7.20043	+	4.40755i	−0.230598	+	0.141155i
$976$	−0.478614	−	0.146653i	−0.0153201	−	0.00469424i
$977$	−12.8804	−	22.3095i	−0.412080	−	0.713744i	0.583037	−	0.812446i	$-0.301864\pi$
$977$	−12.8804	−	22.3095i	−0.412080	−	0.713744i	−0.995117	+	0.0987020i	$0.968531\pi$
$978$	−5.22389	+	28.7820i	−0.167042	+	0.920346i
$979$	5.06108	+	2.92202i	0.161753	+	0.0933881i
$980$	3.26616	−	7.50528i	0.104334	−	0.239747i
$981$	−1.58035	−	0.807189i	−0.0504566	−	0.0257716i
$982$	−3.88041	+	18.6412i	−0.123829	+	0.594866i
$983$	16.3060	−	28.2427i	0.520079	−	0.900803i	−0.479648	−	0.877461i	$-0.659236\pi$
$983$	16.3060	−	28.2427i	0.520079	−	0.900803i	0.999728	−	0.0233426i	$-0.00743086\pi$
$984$	21.4601	−	10.5574i	0.684122	−	0.336556i
$985$	4.35568	+	7.54426i	0.138783	+	0.240380i
$986$	48.2833	−	15.9131i	1.53765	−	0.506777i
$987$	−3.42230	+	6.29570i	−0.108933	+	0.200394i
$988$	−59.5703	+	44.0511i	−1.89518	+	1.40145i
$989$			30.0925i			0.956887i
$990$	1.30544	+	3.36830i	0.0414897	+	0.107052i
$991$	19.1417			0.608057			0.304029	−	0.952663i	$-0.401668\pi$
$991$	19.1417			0.608057			0.304029	+	0.952663i	$0.401668\pi$
$992$	−34.7860	+	0.731978i	−1.10446	+	0.0232403i
$993$	−1.40616	−	54.7292i	−0.0446233	−	1.73678i
$994$	−11.9081	−	36.1314i	−0.377703	−	1.14602i
$995$	−10.8275	+	6.25128i	−0.343256	+	0.198179i
$996$	4.96121	−	0.693188i	0.157202	−	0.0219645i
$997$	−22.4248	−	12.9470i	−0.710200	−	0.410034i	0.100935	−	0.994893i	$-0.467817\pi$
$997$	−22.4248	−	12.9470i	−0.710200	−	0.410034i	−0.811135	+	0.584859i	$0.801150\pi$
$998$	4.10065	−	19.6993i	0.129804	−	0.623570i
$999$	3.07417	+	39.8130i	0.0972626	+	1.25963i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	360.2.bf.b.61.11	✓	92
3.2	odd	2		1080.2.bf.b.181.36		92
4.3	odd	2		1440.2.bv.b.241.16		92
8.3	odd	2		1440.2.bv.b.241.31		92
8.5	even	2	inner	360.2.bf.b.61.19	yes	92
9.4	even	3	inner	360.2.bf.b.301.19	yes	92
9.5	odd	6		1080.2.bf.b.901.28		92
12.11	even	2		4320.2.bv.b.721.12		92
24.5	odd	2		1080.2.bf.b.181.28		92
24.11	even	2		4320.2.bv.b.721.34		92
36.23	even	6		4320.2.bv.b.3601.34		92
36.31	odd	6		1440.2.bv.b.1201.31		92
72.5	odd	6		1080.2.bf.b.901.36		92
72.13	even	6	inner	360.2.bf.b.301.11	yes	92
72.59	even	6		4320.2.bv.b.3601.12		92
72.67	odd	6		1440.2.bv.b.1201.16		92

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
360.2.bf.b.61.11	✓	92	1.1	even	1	trivial
360.2.bf.b.61.19	yes	92	8.5	even	2	inner
360.2.bf.b.301.11	yes	92	72.13	even	6	inner
360.2.bf.b.301.19	yes	92	9.4	even	3	inner
1080.2.bf.b.181.28		92	24.5	odd	2
1080.2.bf.b.181.36		92	3.2	odd	2
1080.2.bf.b.901.28		92	9.5	odd	6
1080.2.bf.b.901.36		92	72.5	odd	6
1440.2.bv.b.241.16		92	4.3	odd	2
1440.2.bv.b.241.31		92	8.3	odd	2
1440.2.bv.b.1201.16		92	72.67	odd	6
1440.2.bv.b.1201.31		92	36.31	odd	6
4320.2.bv.b.721.12		92	12.11	even	2
4320.2.bv.b.721.34		92	24.11	even	2
4320.2.bv.b.3601.12		92	72.59	even	6
4320.2.bv.b.3601.34		92	36.23	even	6

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 360 = 2^{3} \cdot 3^{2} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	360.bf (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.941863 + 1.05494i) q^{2} +(0.904267 + 1.47726i) q^{3} +(-0.225788 - 1.98721i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-2.41011 - 0.437433i) q^{6} +(-0.852557 + 1.47667i) q^{7} +(2.30905 + 1.63349i) q^{8} +(-1.36460 + 2.67168i) q^{9} +O(q^{10})\)	\(q+(-0.941863 + 1.05494i) q^{2} +(0.904267 + 1.47726i) q^{3} +(-0.225788 - 1.98721i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-2.41011 - 0.437433i) q^{6} +(-0.852557 + 1.47667i) q^{7} +(2.30905 + 1.63349i) q^{8} +(-1.36460 + 2.67168i) q^{9} +(-0.288208 + 1.38453i) q^{10} +(-0.737384 - 0.425729i) q^{11} +(2.73146 - 2.13052i) q^{12} +(-4.22116 + 2.43709i) q^{13} +(-0.754806 - 2.29022i) q^{14} +(1.52175 + 0.827213i) q^{15} +(-3.89804 + 0.897380i) q^{16} +7.43805 q^{17} +(-1.53318 - 3.95593i) q^{18} +7.60011i q^{19} +(-1.18915 - 1.60808i) q^{20} +(-2.95237 + 0.0758557i) q^{21} +(1.14363 - 0.376916i) q^{22} +(4.11536 + 7.12801i) q^{23} +(-0.325096 + 4.88818i) q^{24} +(0.500000 - 0.866025i) q^{25} +(1.40478 - 6.74846i) q^{26} +(-5.18073 + 0.400032i) q^{27} +(3.12696 + 1.36080i) q^{28} +(-4.18548 - 2.41649i) q^{29} +(-2.30594 + 0.826230i) q^{30} +(-3.07536 - 5.32668i) q^{31} +(2.72474 - 4.95740i) q^{32} +(-0.0378789 - 1.47428i) q^{33} +(-7.00562 + 7.84668i) q^{34} +1.70511i q^{35} +(5.61731 + 2.10853i) q^{36} -7.68482i q^{37} +(-8.01765 - 7.15827i) q^{38} +(-7.41727 - 4.03198i) q^{39} +(2.81644 + 0.260119i) q^{40} +(-2.44095 - 4.22785i) q^{41} +(2.70070 - 3.18601i) q^{42} +(3.16629 + 1.82806i) q^{43} +(-0.679522 + 1.56146i) q^{44} +(0.154057 + 2.99604i) q^{45} +(-11.3957 - 2.37216i) q^{46} +(1.21316 - 2.10125i) q^{47} +(-4.85053 - 4.94695i) q^{48} +(2.04629 + 3.54428i) q^{49} +(0.442672 + 1.34315i) q^{50} +(6.72598 + 10.9879i) q^{51} +(5.79610 + 7.83808i) q^{52} -3.34041i q^{53} +(4.45753 - 5.84213i) q^{54} -0.851458 q^{55} +(-4.38073 + 2.01707i) q^{56} +(-11.2274 + 6.87253i) q^{57} +(6.49140 - 2.13942i) q^{58} +(7.56333 - 4.36669i) q^{59} +(1.30026 - 3.21082i) q^{60} +(0.108378 + 0.0625723i) q^{61} +(8.51589 + 1.77269i) q^{62} +(-2.78179 - 4.29283i) q^{63} +(2.66342 + 7.54362i) q^{64} +(-2.43709 + 4.22116i) q^{65} +(1.59095 + 1.34861i) q^{66} +(-3.09693 + 1.78801i) q^{67} +(-1.67943 - 14.7810i) q^{68} +(-6.80856 + 12.5251i) q^{69} +(-1.79879 - 1.60598i) q^{70} +15.7764 q^{71} +(-7.51510 + 3.93997i) q^{72} +8.62423 q^{73} +(8.10701 + 7.23805i) q^{74} +(1.73148 - 0.0444871i) q^{75} +(15.1031 - 1.71602i) q^{76} +(1.25732 - 0.725916i) q^{77} +(11.2395 - 4.02719i) q^{78} +(0.740352 - 1.28233i) q^{79} +(-2.92711 + 2.72617i) q^{80} +(-5.27571 - 7.29156i) q^{81} +(6.75917 + 1.40701i) q^{82} +(1.25235 + 0.723044i) q^{83} +(0.817353 + 5.84986i) q^{84} +(6.44154 - 3.71902i) q^{85} +(-4.91071 + 1.61846i) q^{86} +(-0.215006 - 8.36821i) q^{87} +(-1.00723 - 2.18754i) q^{88} -6.86356 q^{89} +(-3.30574 - 2.65934i) q^{90} -8.31103i q^{91} +(13.2357 - 9.78753i) q^{92} +(5.08796 - 9.35986i) q^{93} +(1.07406 + 3.25890i) q^{94} +(3.80006 + 6.58189i) q^{95} +(9.78726 - 0.457660i) q^{96} +(5.69679 - 9.86713i) q^{97} +(-5.66633 - 1.17952i) q^{98} +(2.14365 - 1.38910i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 92 q + 2 q^{2} - 12 q^{6} - 8 q^{7} + 20 q^{8} + 6 q^{9}+O(q^{10}) \) 92 * q + 2 * q^2 - 12 * q^6 - 8 * q^7 + 20 * q^8 + 6 * q^9	\( 92 q + 2 q^{2} - 12 q^{6} - 8 q^{7} + 20 q^{8} + 6 q^{9} + 4 q^{10} + 22 q^{12} - 18 q^{14} - 8 q^{16} + 12 q^{17} - 16 q^{18} - 4 q^{20} - 10 q^{22} + 28 q^{23} + 24 q^{24} + 46 q^{25} - 64 q^{26} - 10 q^{30} + 8 q^{31} - 28 q^{32} - 14 q^{33} - 38 q^{36} - 6 q^{38} - 24 q^{39} + 2 q^{40} - 18 q^{41} + 22 q^{42} - 36 q^{44} + 4 q^{46} - 36 q^{47} - 76 q^{48} - 30 q^{49} - 2 q^{50} + 6 q^{52} + 42 q^{54} + 20 q^{55} - 38 q^{56} - 34 q^{57} + 18 q^{58} - 14 q^{60} + 60 q^{62} - 32 q^{63} - 48 q^{64} + 12 q^{65} + 36 q^{66} + 16 q^{68} + 8 q^{70} - 8 q^{71} + 92 q^{72} - 4 q^{73} + 52 q^{74} + 22 q^{76} + 58 q^{78} + 20 q^{79} - 16 q^{80} + 18 q^{81} - 16 q^{82} + 38 q^{84} - 60 q^{86} - 48 q^{87} - 20 q^{88} - 24 q^{89} - 24 q^{90} + 36 q^{92} - 14 q^{94} - 18 q^{95} - 38 q^{96} - 14 q^{97} - 60 q^{98}+O(q^{100}) \) 92 * q + 2 * q^2 - 12 * q^6 - 8 * q^7 + 20 * q^8 + 6 * q^9 + 4 * q^10 + 22 * q^12 - 18 * q^14 - 8 * q^16 + 12 * q^17 - 16 * q^18 - 4 * q^20 - 10 * q^22 + 28 * q^23 + 24 * q^24 + 46 * q^25 - 64 * q^26 - 10 * q^30 + 8 * q^31 - 28 * q^32 - 14 * q^33 - 38 * q^36 - 6 * q^38 - 24 * q^39 + 2 * q^40 - 18 * q^41 + 22 * q^42 - 36 * q^44 + 4 * q^46 - 36 * q^47 - 76 * q^48 - 30 * q^49 - 2 * q^50 + 6 * q^52 + 42 * q^54 + 20 * q^55 - 38 * q^56 - 34 * q^57 + 18 * q^58 - 14 * q^60 + 60 * q^62 - 32 * q^63 - 48 * q^64 + 12 * q^65 + 36 * q^66 + 16 * q^68 + 8 * q^70 - 8 * q^71 + 92 * q^72 - 4 * q^73 + 52 * q^74 + 22 * q^76 + 58 * q^78 + 20 * q^79 - 16 * q^80 + 18 * q^81 - 16 * q^82 + 38 * q^84 - 60 * q^86 - 48 * q^87 - 20 * q^88 - 24 * q^89 - 24 * q^90 + 36 * q^92 - 14 * q^94 - 18 * q^95 - 38 * q^96 - 14 * q^97 - 60 * q^98

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