LMFDB - Embedded newform 273.2.bv.b.2.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(2,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 4, 1]))

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

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

chi := DirichletCharacter("273.2");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.17991597518$
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			2.17
Character	$\chi$	$=$	273.2
Dual form			273.2.bv.b.137.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.340464 + 0.340464i) q^{2} +(-1.34015 - 1.09727i) q^{3} -1.76817i q^{4} +(-3.37589 + 0.904567i) q^{5} +(-0.0826902 - 0.829853i) q^{6} +(-0.304456 + 2.62818i) q^{7} +(1.28292 - 1.28292i) q^{8} +(0.591989 + 2.94101i) q^{9} +O(q^{10})$	\(q+(0.340464 + 0.340464i) q^{2} +(-1.34015 - 1.09727i) q^{3} -1.76817i q^{4} +(-3.37589 + 0.904567i) q^{5} +(-0.0826902 - 0.829853i) q^{6} +(-0.304456 + 2.62818i) q^{7} +(1.28292 - 1.28292i) q^{8} +(0.591989 + 2.94101i) q^{9} +(-1.45734 - 0.841396i) q^{10} +(0.752508 + 2.80840i) q^{11} +(-1.94016 + 2.36961i) q^{12} +(-3.15023 + 1.75388i) q^{13} +(-0.998455 + 0.791142i) q^{14} +(5.51674 + 2.49202i) q^{15} -2.66276 q^{16} +1.23317 q^{17} +(-0.799757 + 1.20286i) q^{18} +(-4.44427 - 1.19084i) q^{19} +(1.59943 + 5.96914i) q^{20} +(3.29184 - 3.18807i) q^{21} +(-0.699956 + 1.21236i) q^{22} -4.05387 q^{23} +(-3.12703 + 0.311591i) q^{24} +(6.24826 - 3.60743i) q^{25} +(-1.66967 - 0.475406i) q^{26} +(2.43374 - 4.59096i) q^{27} +(4.64706 + 0.538329i) q^{28} +(-1.21013 + 0.698667i) q^{29} +(1.02981 + 2.72669i) q^{30} +(-2.15146 - 0.576482i) q^{31} +(-3.47242 - 3.47242i) q^{32} +(2.07311 - 4.58938i) q^{33} +(0.419850 + 0.419850i) q^{34} +(-1.34955 - 9.14783i) q^{35} +(5.20021 - 1.04674i) q^{36} +(1.70844 + 1.70844i) q^{37} +(-1.10768 - 1.91855i) q^{38} +(6.14624 + 1.10620i) q^{39} +(-3.17052 + 5.49150i) q^{40} +(0.777305 - 2.90094i) q^{41} +(2.20617 + 0.0353289i) q^{42} +(-8.87509 - 5.12403i) q^{43} +(4.96573 - 1.33056i) q^{44} +(-4.65883 - 9.39304i) q^{45} +(-1.38019 - 1.38019i) q^{46} +(1.95909 + 7.31143i) q^{47} +(3.56849 + 2.92177i) q^{48} +(-6.81461 - 1.60033i) q^{49} +(3.35551 + 0.899105i) q^{50} +(-1.65263 - 1.35312i) q^{51} +(3.10115 + 5.57013i) q^{52} +(-10.1162 + 5.84059i) q^{53} +(2.39166 - 0.734457i) q^{54} +(-5.08077 - 8.80015i) q^{55} +(2.98116 + 3.76235i) q^{56} +(4.64930 + 6.47247i) q^{57} +(-0.649875 - 0.174133i) q^{58} +(7.19802 - 7.19802i) q^{59} +(4.40630 - 9.75454i) q^{60} +(3.19405 + 5.53226i) q^{61} +(-0.536223 - 0.928765i) q^{62} +(-7.90973 + 0.660443i) q^{63} +2.96105i q^{64} +(9.04831 - 8.77048i) q^{65} +(2.26833 - 0.856699i) q^{66} +(2.59710 + 9.69251i) q^{67} -2.18045i q^{68} +(5.43278 + 4.44819i) q^{69} +(2.65503 - 3.57398i) q^{70} +(15.4283 - 4.13399i) q^{71} +(4.53257 + 3.01362i) q^{72} +(-0.944558 + 3.52514i) q^{73} +1.16332i q^{74} +(-12.3319 - 2.02155i) q^{75} +(-2.10560 + 7.85822i) q^{76} +(-7.61007 + 1.12269i) q^{77} +(1.71595 + 2.46919i) q^{78} +(7.31953 - 12.6778i) q^{79} +(8.98918 - 2.40864i) q^{80} +(-8.29910 + 3.48209i) q^{81} +(1.25231 - 0.723021i) q^{82} +(-1.80071 - 1.80071i) q^{83} +(-5.63705 - 5.82053i) q^{84} +(-4.16305 + 1.11548i) q^{85} +(-1.27710 - 4.76619i) q^{86} +(2.38838 + 0.391521i) q^{87} +(4.56838 + 2.63755i) q^{88} +(-8.20114 + 8.20114i) q^{89} +(1.61183 - 4.78415i) q^{90} +(-3.65039 - 8.81332i) q^{91} +7.16792i q^{92} +(2.25072 + 3.13331i) q^{93} +(-1.82228 + 3.15628i) q^{94} +16.0806 q^{95} +(0.843366 + 8.46375i) q^{96} +(2.44770 + 9.13494i) q^{97} +(-1.77528 - 2.86498i) q^{98} +(-7.81406 + 3.87568i) 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 $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

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

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 $

$2$	0.340464	+	0.340464i	0.240744	+	0.240744i	0.817158	−	0.576414i	$-0.195548\pi$
$2$	0.340464	+	0.340464i	0.240744	+	0.240744i	−0.576414	+	0.817158i	$0.695548\pi$
$3$	−1.34015	−	1.09727i	−0.773734	−	0.633510i
$3$	−1.34015	−	1.09727i	−0.773734	−	0.633510i
$4$		−	1.76817i		−	0.884084i
$5$	−3.37589	+	0.904567i	−1.50974	+	0.404535i	−0.916350	−	0.400378i	$-0.868879\pi$
$5$	−3.37589	+	0.904567i	−1.50974	+	0.404535i	−0.593393	+	0.804913i	$0.702212\pi$
$6$	−0.0826902	−	0.829853i	−0.0337581	−	0.338786i
$7$	−0.304456	+	2.62818i	−0.115073	+	0.993357i
$7$	−0.304456	+	2.62818i	−0.115073	+	0.993357i
$8$	1.28292	−	1.28292i	0.453582	−	0.453582i
$9$	0.591989	+	2.94101i	0.197330	+	0.980337i
$10$	−1.45734	−	0.841396i	−0.460851	−	0.266073i
$11$	0.752508	+	2.80840i	0.226890	+	0.846764i	0.981639	+	0.190750i	$0.0610921\pi$
$11$	0.752508	+	2.80840i	0.226890	+	0.846764i	−0.754749	+	0.656014i	$0.772241\pi$
$12$	−1.94016	+	2.36961i	−0.560077	+	0.684046i
$13$	−3.15023	+	1.75388i	−0.873715	+	0.486438i
$13$	−3.15023	+	1.75388i	−0.873715	+	0.486438i
$14$	−0.998455	+	0.791142i	−0.266848	+	0.211442i
$15$	5.51674	+	2.49202i	1.42442	+	0.643436i
$16$	−2.66276			−0.665690
$17$	1.23317			0.299088			0.149544	−	0.988755i	$-0.452219\pi$
$17$	1.23317			0.299088			0.149544	+	0.988755i	$0.452219\pi$
$18$	−0.799757	+	1.20286i	−0.188505	+	0.283516i
$19$	−4.44427	−	1.19084i	−1.01959	−	0.273197i	−0.289956	−	0.957040i	$-0.593641\pi$
$19$	−4.44427	−	1.19084i	−1.01959	−	0.273197i	−0.729629	+	0.683843i	$0.760307\pi$
$20$	1.59943	+	5.96914i	0.357643	+	1.33474i
$21$	3.29184	−	3.18807i	0.718338	−	0.695694i
$22$	−0.699956	+	1.21236i	−0.149231	+	0.258476i
$23$	−4.05387			−0.845289			−0.422645	−	0.906295i	$-0.638898\pi$
$23$	−4.05387			−0.845289			−0.422645	+	0.906295i	$0.638898\pi$
$24$	−3.12703	+	0.311591i	−0.638301	+	0.0636032i
$25$	6.24826	−	3.60743i	1.24965	−	0.721487i
$26$	−1.66967	−	0.475406i	−0.327449	−	0.0932348i
$27$	2.43374	−	4.59096i	0.468373	−	0.883531i
$28$	4.64706	+	0.538329i	0.878211	+	0.101735i
$29$	−1.21013	+	0.698667i	−0.224715	+	0.129739i	−0.608132	−	0.793836i	$-0.708081\pi$
$29$	−1.21013	+	0.698667i	−0.224715	+	0.129739i	0.383417	+	0.923575i	$0.374747\pi$
$30$	1.02981	+	2.72669i	0.188017	+	0.497824i
$31$	−2.15146	−	0.576482i	−0.386414	−	0.103539i	0.0603818	−	0.998175i	$-0.480768\pi$
$31$	−2.15146	−	0.576482i	−0.386414	−	0.103539i	−0.446795	+	0.894636i	$0.647435\pi$
$32$	−3.47242	−	3.47242i	−0.613843	−	0.613843i
$33$	2.07311	−	4.58938i	0.360881	−	0.798908i
$34$	0.419850	+	0.419850i	0.0720036	+	0.0720036i
$35$	−1.34955	−	9.14783i	−0.228116	−	1.54627i
$36$	5.20021	−	1.04674i	0.866701	−	0.174456i
$37$	1.70844	+	1.70844i	0.280866	+	0.280866i	0.833454	−	0.552588i	$-0.186360\pi$
$37$	1.70844	+	1.70844i	0.280866	+	0.280866i	−0.552588	+	0.833454i	$0.686360\pi$
$38$	−1.10768	−	1.91855i	−0.179689	−	0.311230i
$39$	6.14624	+	1.10620i	0.984187	+	0.177134i
$40$	−3.17052	+	5.49150i	−0.501303	+	0.868283i
$41$	0.777305	−	2.90094i	0.121395	−	0.453051i	−0.878291	−	0.478127i	$-0.841316\pi$
$41$	0.777305	−	2.90094i	0.121395	−	0.453051i	0.999686	+	0.0250757i	$0.00798267\pi$
$42$	2.20617	+	0.0353289i	0.340420	+	0.00545137i
$43$	−8.87509	−	5.12403i	−1.35344	−	0.781408i	−0.364708	−	0.931122i	$-0.618831\pi$
$43$	−8.87509	−	5.12403i	−1.35344	−	0.781408i	−0.988729	+	0.149714i	$0.952165\pi$
$44$	4.96573	−	1.33056i	0.748611	−	0.200590i
$45$	−4.65883	−	9.39304i	−0.694497	−	1.40023i
$46$	−1.38019	−	1.38019i	−0.203499	−	0.203499i
$47$	1.95909	+	7.31143i	0.285763	+	1.06648i	0.948280	+	0.317435i	$0.102821\pi$
$47$	1.95909	+	7.31143i	0.285763	+	1.06648i	−0.662517	+	0.749047i	$0.730512\pi$
$48$	3.56849	+	2.92177i	0.515067	+	0.421721i
$49$	−6.81461	−	1.60033i	−0.973516	−	0.228618i
$50$	3.35551	+	0.899105i	0.474540	+	0.127153i
$51$	−1.65263	−	1.35312i	−0.231414	−	0.189475i
$52$	3.10115	+	5.57013i	0.430052	+	0.772438i
$53$	−10.1162	+	5.84059i	−1.38957	+	0.802267i	−0.993266	−	0.115854i	$-0.963040\pi$
$53$	−10.1162	+	5.84059i	−1.38957	+	0.802267i	−0.396301	+	0.918121i	$0.629706\pi$
$54$	2.39166	−	0.734457i	0.325463	−	0.0999469i
$55$	−5.08077	−	8.80015i	−0.685091	−	1.18661i
$56$	2.98116	+	3.76235i	0.398374	+	0.502765i
$57$	4.64930	+	6.47247i	0.615815	+	0.857300i
$58$	−0.649875	−	0.174133i	−0.0853328	−	0.0228648i
$59$	7.19802	−	7.19802i	0.937103	−	0.937103i	−0.0610331	−	0.998136i	$-0.519440\pi$
$59$	7.19802	−	7.19802i	0.937103	−	0.937103i	0.998136	+	0.0610331i	$0.0194395\pi$
$60$	4.40630	−	9.75454i	0.568851	−	1.25931i
$61$	3.19405	+	5.53226i	0.408956	+	0.708333i	0.994773	−	0.102110i	$-0.0325595\pi$
$61$	3.19405	+	5.53226i	0.408956	+	0.708333i	−0.585817	+	0.810444i	$0.699226\pi$
$62$	−0.536223	−	0.928765i	−0.0681004	−	0.117953i
$63$	−7.90973	+	0.660443i	−0.996532	+	0.0832080i
$64$			2.96105i			0.370131i
$65$	9.04831	−	8.77048i	1.12231	−	1.08784i
$66$	2.26833	−	0.856699i	0.279213	−	0.105452i
$67$	2.59710	+	9.69251i	0.317286	+	1.18413i	0.921842	+	0.387566i	$0.126684\pi$
$67$	2.59710	+	9.69251i	0.317286	+	1.18413i	−0.604556	+	0.796563i	$0.706649\pi$
$68$		−	2.18045i		−	0.264419i
$69$	5.43278	+	4.44819i	0.654029	+	0.535499i
$70$	2.65503	−	3.57398i	0.317337	−	0.427172i
$71$	15.4283	−	4.13399i	1.83100	−	0.490615i	0.832968	−	0.553322i	$-0.186640\pi$
$71$	15.4283	−	4.13399i	1.83100	−	0.490615i	0.998032	+	0.0627067i	$0.0199733\pi$
$72$	4.53257	+	3.01362i	0.534169	+	0.355158i
$73$	−0.944558	+	3.52514i	−0.110552	+	0.412586i	−0.998916	−	0.0465543i	$-0.985176\pi$
$73$	−0.944558	+	3.52514i	−0.110552	+	0.412586i	0.888364	+	0.459141i	$0.151843\pi$
$74$			1.16332i			0.135234i
$75$	−12.3319	−	2.02155i	−1.42397	−	0.233428i
$76$	−2.10560	+	7.85822i	−0.241529	+	0.901400i
$77$	−7.61007	+	1.12269i	−0.867248	+	0.127943i
$78$	1.71595	+	2.46919i	0.194293	+	0.279581i
$79$	7.31953	−	12.6778i	0.823511	−	1.42636i	−0.0795402	−	0.996832i	$-0.525345\pi$
$79$	7.31953	−	12.6778i	0.823511	−	1.42636i	0.903052	−	0.429532i	$-0.141321\pi$
$80$	8.98918	−	2.40864i	1.00502	−	0.269295i
$81$	−8.29910	+	3.48209i	−0.922122	+	0.386899i
$82$	1.25231	−	0.723021i	0.138294	−	0.0798443i
$83$	−1.80071	−	1.80071i	−0.197653	−	0.197653i	0.601340	−	0.798993i	$-0.294634\pi$
$83$	−1.80071	−	1.80071i	−0.197653	−	0.197653i	−0.798993	+	0.601340i	$0.794634\pi$
$84$	−5.63705	−	5.82053i	−0.615052	−	0.635071i
$85$	−4.16305	+	1.11548i	−0.451546	+	0.120991i
$86$	−1.27710	−	4.76619i	−0.137713	−	0.513952i
$87$	2.38838	+	0.391521i	0.256061	+	0.0419755i
$88$	4.56838	+	2.63755i	0.486991	+	0.281164i
$89$	−8.20114	+	8.20114i	−0.869319	+	0.869319i	−0.992397	−	0.123078i	$-0.960723\pi$
$89$	−8.20114	+	8.20114i	−0.869319	+	0.869319i	0.123078	+	0.992397i	$0.460723\pi$
$90$	1.61183	−	4.78415i	0.169901	−	0.504294i
$91$	−3.65039	−	8.81332i	−0.382665	−	0.923887i
$92$			7.16792i			0.747307i
$93$	2.25072	+	3.13331i	0.233388	+	0.324909i
$94$	−1.82228	+	3.15628i	−0.187953	+	0.325545i
$95$	16.0806			1.64983
$96$	0.843366	+	8.46375i	0.0860756	+	0.863828i
$97$	2.44770	+	9.13494i	0.248526	+	0.927513i	0.971578	+	0.236719i	$0.0760721\pi$
$97$	2.44770	+	9.13494i	0.248526	+	0.927513i	−0.723052	+	0.690794i	$0.757261\pi$
$98$	−1.77528	−	2.86498i	−0.179330	−	0.289407i
$99$	−7.81406	+	3.87568i	−0.785343	+	0.389520i
$100$	−6.37855	−	11.0480i	−0.637855	−	1.10480i
$101$	−1.69983	+	2.94420i	−0.169140	+	0.292959i	−0.938118	−	0.346317i	$-0.887432\pi$
$101$	−1.69983	+	2.94420i	−0.169140	+	0.292959i	0.768978	+	0.639275i	$0.220766\pi$
$102$	−0.101971	−	1.02335i	−0.0100966	−	0.101327i
$103$	4.22732	+	2.44065i	0.416531	+	0.240484i	0.693592	−	0.720368i	$-0.256027\pi$
$103$	4.22732	+	2.44065i	0.416531	+	0.240484i	−0.277061	+	0.960852i	$0.589360\pi$
$104$	−1.79141	+	6.29159i	−0.175662	+	0.616942i
$105$	−8.22906	+	13.7403i	−0.803074	+	1.34091i
$106$	−5.43271	−	1.45569i	−0.527671	−	0.141389i
$107$		−	5.09562i		−	0.492612i	−0.969192	−	0.246306i	$-0.920783\pi$
$107$		−	5.09562i		−	0.492612i	0.969192	−	0.246306i	$-0.0792169\pi$
$108$	−8.11759	−	4.30326i	−0.781116	−	0.414081i
$109$	−10.4022	−	2.78725i	−0.996346	−	0.266970i	−0.276432	−	0.961033i	$-0.589152\pi$
$109$	−10.4022	−	2.78725i	−0.996346	−	0.266970i	−0.719914	+	0.694063i	$0.755819\pi$
$110$	1.26631	−	4.72595i	0.120738	−	0.450602i
$111$	−0.414938	−	4.16419i	−0.0393842	−	0.395247i
$112$	0.810692	−	6.99820i	0.0766032	−	0.661268i
$113$	−2.78091	−	1.60556i	−0.261606	−	0.151038i	0.363461	−	0.931609i	$-0.381595\pi$
$113$	−2.78091	−	1.60556i	−0.261606	−	0.151038i	−0.625067	+	0.780571i	$0.714928\pi$
$114$	−0.620723	+	3.78656i	−0.0581360	+	0.354644i
$115$	13.6854	−	3.66699i	1.27617	−	0.341949i
$116$	1.23536	+	2.13971i	0.114700	+	0.198667i
$117$	−7.02307	−	8.22657i	−0.649283	−	0.760547i
$118$	4.90133			0.451204
$119$	−0.375446	+	3.24099i	−0.0344170	+	0.297101i
$120$	10.2746	−	3.88050i	0.937942	−	0.354239i
$121$	2.20544	−	1.27331i	0.200494	−	0.115755i
$122$	−0.796075	+	2.97099i	−0.0720732	+	0.268981i
$123$	−4.22482	+	3.03477i	−0.380940	+	0.273636i
$124$	−1.01932	+	3.80415i	−0.0915374	+	0.341622i
$125$	−5.47366	+	5.47366i	−0.489579	+	0.489579i
$126$	−2.91783	−	2.46812i	−0.259941	−	0.219878i
$127$	−7.55979	+	4.36464i	−0.670822	+	0.387300i	−0.796388	−	0.604786i	$-0.793259\pi$
$127$	−7.55979	+	4.36464i	−0.670822	+	0.387300i	0.125566	+	0.992085i	$0.459925\pi$
$128$	−7.95298	+	7.95298i	−0.702950	+	0.702950i
$129$	6.27146	+	16.6053i	0.552172	+	1.46202i
$130$	6.06665	+	0.0945919i	0.532081	+	0.00829626i
$131$	−11.4709	−	6.62271i	−1.00222	−	0.578629i	−0.0933123	−	0.995637i	$-0.529745\pi$
$131$	−11.4709	−	6.62271i	−1.00222	−	0.578629i	−0.908903	+	0.417008i	$0.863079\pi$
$132$	−8.11479	−	3.66560i	−0.706302	−	0.319050i
$133$	4.48282	−	11.3178i	0.388709	−	0.981375i
$134$	−2.41573	+	4.18417i	−0.208687	+	0.361457i
$135$	−4.06320	+	17.7001i	−0.349704	+	1.52338i
$136$	1.58206	−	1.58206i	0.135661	−	0.135661i
$137$	−4.86060	+	4.86060i	−0.415269	+	0.415269i	−0.883569	−	0.468300i	$-0.844867\pi$
$137$	−4.86060	+	4.86060i	−0.415269	+	0.415269i	0.468300	+	0.883569i	$0.344867\pi$
$138$	0.335215	+	3.36411i	0.0285354	+	0.286372i
$139$	10.1161	−	17.5216i	0.858036	−	1.48616i	−0.0157643	−	0.999876i	$-0.505018\pi$
$139$	10.1161	−	17.5216i	0.858036	−	1.48616i	0.873800	−	0.486286i	$-0.161649\pi$
$140$	−16.1749	+	2.38624i	−1.36703	+	0.201674i
$141$	5.39715	−	11.9480i	0.454522	−	1.00621i
$142$	6.66024	+	3.84529i	0.558915	+	0.322690i
$143$	−7.29616	−	7.52729i	−0.610135	−	0.629463i
$144$	−1.57632	−	7.83120i	−0.131360	−	0.652600i
$145$	3.45326	−	3.45326i	0.286778	−	0.286778i
$146$	−1.52177	+	0.878594i	−0.125943	+	0.0727130i
$147$	7.37659	+	9.62216i	0.608411	+	0.793622i
$148$	3.02081	−	3.02081i	0.248309	−	0.248309i
$149$	0.189645	−	0.707766i	0.0155364	−	0.0579825i	−0.957722	−	0.287694i	$-0.907112\pi$
$149$	0.189645	−	0.707766i	0.0155364	−	0.0579825i	0.973259	+	0.229711i	$0.0737782\pi$
$150$	−3.51031	−	4.88684i	−0.286616	−	0.399009i
$151$	−3.51051	+	13.1014i	−0.285681	+	1.06618i	0.662659	+	0.748921i	$0.269428\pi$
$151$	−3.51051	+	13.1014i	−0.285681	+	1.06618i	−0.948340	+	0.317255i	$0.897239\pi$
$152$	−7.22942	+	4.17391i	−0.586384	+	0.338549i
$153$	0.730023	+	3.62677i	0.0590189	+	0.293207i
$154$	−2.97319	−	2.20872i	−0.239586	−	0.177984i
$155$	7.78456			0.625271
$156$	1.95595	−	10.8676i	0.156601	−	0.870104i
$157$	1.62313	+	2.81134i	0.129540	+	0.224369i	0.923498	−	0.383603i	$-0.125317\pi$
$157$	1.62313	+	2.81134i	0.129540	+	0.224369i	−0.793959	+	0.607972i	$0.791983\pi$
$158$	6.80837	−	1.82430i	0.541644	−	0.145133i
$159$	19.9659	+	3.27297i	1.58340	+	0.259563i
$160$	14.8636	+	8.58148i	1.17507	+	0.678425i
$161$	1.23422	−	10.6543i	0.0972703	−	0.839674i
$162$	−4.01107	−	1.64002i	−0.315139	−	0.128852i
$163$	2.40156	−	8.96274i	0.188105	−	0.702016i	−0.805840	−	0.592133i	$-0.798286\pi$
$163$	2.40156	−	8.96274i	0.188105	−	0.702016i	0.993945	−	0.109883i	$-0.0350475\pi$
$164$	−5.12935	−	1.37441i	−0.400535	−	0.107323i
$165$	−2.84718	+	17.3685i	−0.221653	+	1.35213i
$166$		−	1.22615i		−	0.0951679i
$167$	1.19913	+	0.321307i	0.0927919	+	0.0248635i	0.304916	−	0.952379i	$-0.401372\pi$
$167$	1.19913	+	0.321307i	0.0927919	+	0.0248635i	−0.212124	+	0.977243i	$0.568038\pi$
$168$	0.133125	−	8.31324i	0.0102709	−	0.641380i
$169$	6.84784	−	11.0502i	0.526757	−	0.850016i
$170$	−1.79715	−	1.03758i	−0.137835	−	0.0795791i
$171$	0.871312	−	13.7756i	0.0666309	−	1.05345i
$172$	−9.06016	+	15.6926i	−0.690830	+	1.19655i
$173$	2.79477	+	4.84069i	0.212483	+	0.368031i	0.952491	−	0.304567i	$-0.0985117\pi$
$173$	2.79477	+	4.84069i	0.212483	+	0.368031i	−0.740008	+	0.672598i	$0.765178\pi$
$174$	0.679856	+	0.946454i	0.0515398	+	0.0717505i
$175$	7.57865	+	17.5198i	0.572892	+	1.32437i
$176$	−2.00375	−	7.47809i	−0.151038	−	0.563682i
$177$	−17.5446	+	1.74822i	−1.31873	+	0.131404i
$178$	−5.58438			−0.418567
$179$	−12.4219	+	21.5154i	−0.928458	+	1.60814i	−0.142556	+	0.989787i	$0.545532\pi$
$179$	−12.4219	+	21.5154i	−0.928458	+	1.60814i	−0.785903	+	0.618350i	$0.787801\pi$
$180$	−16.6085	+	8.23760i	−1.23792	+	0.613994i
$181$			13.7332i			1.02078i	0.859944	+	0.510389i	$0.170499\pi$
$181$			13.7332i			1.02078i	−0.859944	+	0.510389i	$0.829501\pi$
$182$	1.75779	−	4.24344i	0.130296	−	0.314545i
$183$	1.78989	−	10.9188i	0.132313	−	0.807140i
$184$	−5.20081	+	5.20081i	−0.383408	+	0.383408i
$185$	−7.31290	−	4.22211i	−0.537655	−	0.310415i
$186$	−0.300491	+	1.83306i	−0.0220330	+	0.134407i
$187$	0.927971	+	3.46324i	0.0678600	+	0.253257i
$188$	12.9278	−	3.46400i	0.942860	−	0.252638i
$189$	11.3249	+	7.79403i	0.823764	+	0.566932i
$190$	5.47485	+	5.47485i	0.397187	+	0.397187i
$191$	4.59007	−	2.65008i	0.332126	−	0.191753i	−0.324659	−	0.945831i	$-0.605249\pi$
$191$	4.59007	−	2.65008i	0.332126	−	0.191753i	0.656785	+	0.754078i	$0.271916\pi$
$192$	3.24908	−	3.96824i	0.234482	−	0.286383i
$193$	10.9076	−	2.92267i	0.785143	−	0.210378i	0.156092	−	0.987743i	$-0.450110\pi$
$193$	10.9076	−	2.92267i	0.785143	−	0.210378i	0.629051	+	0.777364i	$0.283444\pi$
$194$	−2.27676	+	3.94347i	−0.163462	+	0.283125i
$195$	−21.7497	+	1.82528i	−1.55753	+	0.130711i
$196$	−2.82965	+	12.0494i	−0.202118	+	0.860671i
$197$	−5.53825	+	20.6690i	−0.394584	+	1.47261i	0.427904	+	0.903824i	$0.359252\pi$
$197$	−5.53825	+	20.6690i	−0.394584	+	1.47261i	−0.822488	+	0.568782i	$0.807415\pi$
$198$	−3.97993	−	1.34088i	−0.282841	−	0.0952919i
$199$		−	2.87792i		−	0.204010i	−0.994784	−	0.102005i	$-0.967474\pi$
$199$		−	2.87792i		−	0.204010i	0.994784	−	0.102005i	$-0.0325258\pi$
$200$	3.38798	−	12.6441i	0.239566	−	0.894074i
$201$	7.15482	−	15.8391i	0.504662	−	1.11721i
$202$	−1.58112	+	0.423661i	−0.111247	+	0.0298087i
$203$	−1.46779	−	3.39314i	−0.103019	−	0.238152i
$204$	−2.39255	+	2.92213i	−0.167512	+	0.204590i
$205$			10.4964i			0.733099i
$206$	0.608299	+	2.27020i	0.0423822	+	0.158172i
$207$	−2.39984	−	11.9225i	−0.166801	−	0.828669i
$208$	8.38829	−	4.67015i	0.581623	−	0.323817i
$209$		−	13.3774i		−	0.925334i
$210$	−7.47976	+	1.87637i	−0.516152	+	0.129482i
$211$	1.08763	+	1.88384i	0.0748758	+	0.129689i	0.901032	−	0.433752i	$-0.142811\pi$
$211$	1.08763	+	1.88384i	0.0748758	+	0.129689i	−0.826156	+	0.563441i	$0.809477\pi$
$212$	10.3272	+	17.8872i	0.709272	+	1.22849i
$213$	−25.2123	−	11.3889i	−1.72752	−	0.780351i
$214$	1.73487	−	1.73487i	0.118594	−	0.118594i
$215$	34.5963	+	9.27006i	2.35945	+	0.632213i
$216$	−2.76756	−	9.01216i	−0.188308	−	0.613200i
$217$	2.17012	−	5.47890i	0.147317	−	0.371932i
$218$	−2.59260	−	4.49052i	−0.175593	−	0.304136i
$219$	5.13388	−	3.68777i	0.346916	−	0.249196i
$220$	−15.5602	+	8.98366i	−1.04907	+	0.605678i
$221$	−3.88476	+	2.16283i	−0.261318	+	0.145488i
$222$	1.27648	−	1.55903i	0.0856719	−	0.104635i
$223$	−19.9625	−	5.34894i	−1.33679	−	0.358192i	−0.481548	−	0.876420i	$-0.659925\pi$
$223$	−19.9625	−	5.34894i	−1.33679	−	0.358192i	−0.855242	+	0.518228i	$0.826592\pi$
$224$	10.1833	−	8.06894i	0.680403	−	0.539129i
$225$	14.3084	+	16.2406i	0.953894	+	1.08271i
$226$	−0.400165	−	1.49343i	−0.0266185	−	0.0993418i
$227$	−9.49071	−	9.49071i	−0.629921	−	0.629921i	0.318127	−	0.948048i	$-0.396946\pi$
$227$	−9.49071	−	9.49071i	−0.629921	−	0.629921i	−0.948048	+	0.318127i	$0.896946\pi$
$228$	11.4444	−	8.22075i	0.757925	−	0.544433i
$229$	1.72373	−	0.461873i	0.113907	−	0.0305214i	−0.201415	−	0.979506i	$-0.564554\pi$
$229$	1.72373	−	0.461873i	0.113907	−	0.0305214i	0.315322	+	0.948985i	$0.397887\pi$
$230$	5.90786	+	3.41091i	0.389553	+	0.224908i
$231$	11.4305	+	6.84575i	0.752073	+	0.450417i
$232$	−0.656164	+	2.44884i	−0.0430793	+	0.160774i
$233$	−6.63264	+	11.4881i	−0.434519	+	0.752609i	−0.997256	−	0.0740271i	$-0.976415\pi$
$233$	−6.63264	+	11.4881i	−0.434519	+	0.752609i	0.562737	+	0.826636i	$0.309748\pi$
$234$	0.409750	−	5.19195i	0.0267862	−	0.339408i
$235$	−13.2273	−	22.9104i	−0.862857	−	1.49451i
$236$	−12.7273	−	12.7273i	−0.828478	−	0.828478i
$237$	−23.7202	+	8.95860i	−1.54080	+	0.581924i
$238$	−1.23126	+	0.975613i	−0.0798110	+	0.0632396i
$239$	2.44801	+	2.44801i	0.158349	+	0.158349i	0.781835	−	0.623486i	$-0.214284\pi$
$239$	2.44801	+	2.44801i	0.158349	+	0.158349i	−0.623486	+	0.781835i	$0.714284\pi$
$240$	−14.6898	−	6.63564i	−0.948220	−	0.428329i
$241$	11.5340	+	11.5340i	0.742972	+	0.742972i	0.973149	−	0.230177i	$-0.0739305\pi$
$241$	11.5340	+	11.5340i	0.742972	+	0.742972i	−0.230177	+	0.973149i	$0.573931\pi$
$242$	1.18439	+	0.317356i	0.0761353	+	0.0204004i
$243$	14.9428	+	4.43985i	0.958582	+	0.284817i
$244$	9.78197	−	5.64762i	0.626226	−	0.361552i
$245$	24.4530	−	0.761751i	1.56224	−	0.0486665i
$246$	−2.47163	−	0.405169i	−0.157585	−	0.0258326i
$247$	16.0890	−	4.04329i	1.02372	−	0.257268i
$248$	−3.49975	+	2.02058i	−0.222234	+	0.128307i
$249$	0.437348	+	4.38908i	0.0277158	+	0.278147i
$250$	−3.72716			−0.235726
$251$	9.90642	−	17.1584i	0.625288	−	1.08303i	−0.363197	−	0.931712i	$-0.618315\pi$
$251$	9.90642	−	17.1584i	0.625288	−	1.08303i	0.988485	−	0.151318i	$-0.0483517\pi$
$252$	1.16777	+	13.9857i	0.0735629	+	0.881019i
$253$	−3.05057	−	11.3849i	−0.191788	−	0.715761i
$254$	−4.05984	−	1.08783i	−0.254737	−	0.0682565i
$255$	6.80309	+	3.07308i	0.426026	+	0.192444i
$256$	0.506700			0.0316687
$257$	7.78418			0.485564			0.242782	−	0.970081i	$-0.421940\pi$
$257$	7.78418			0.485564			0.242782	+	0.970081i	$0.421940\pi$
$258$	−3.51831	+	7.78872i	−0.219040	+	0.484905i
$259$	−5.01023	+	3.96994i	−0.311320	+	0.246680i
$260$	−15.5077	−	15.9989i	−0.961746	−	0.992212i
$261$	−2.77117	−	3.14539i	−0.171531	−	0.194695i
$262$	−1.65062	−	6.16021i	−0.101976	−	0.380579i
$263$	16.0492	+	9.26600i	0.989635	+	0.571366i	0.905165	−	0.425060i	$-0.139747\pi$
$263$	16.0492	+	9.26600i	0.989635	+	0.571366i	0.0844701	+	0.996426i	$0.473080\pi$
$264$	−3.22818	−	8.54746i	−0.198681	−	0.526060i
$265$	28.8680	−	28.8680i	1.77335	−	1.77335i
$266$	5.37953	−	2.32705i	0.329840	−	0.142681i
$267$	19.9896	−	1.99185i	1.22334	−	0.121899i
$268$	17.1380	−	4.59211i	1.04687	−	0.280508i
$269$			2.13250i			0.130021i	0.997885	+	0.0650105i	$0.0207081\pi$
$269$			2.13250i			0.130021i	−0.997885	+	0.0650105i	$0.979292\pi$
$270$	−7.40960	+	4.64286i	−0.450934	+	0.282555i
$271$	−12.3728	−	12.3728i	−0.751595	−	0.751595i	0.223182	−	0.974777i	$-0.428356\pi$
$271$	−12.3728	−	12.3728i	−0.751595	−	0.751595i	−0.974777	+	0.223182i	$0.928356\pi$
$272$	−3.28364			−0.199100
$273$	−4.77855	+	15.8166i	−0.289211	+	0.957265i
$274$	−3.30972			−0.199947
$275$	14.8330	+	14.8330i	0.894463	+	0.894463i
$276$	7.86516	−	9.60607i	0.473427	−	0.578217i
$277$		−	14.9937i		−	0.900883i	−0.892806	−	0.450442i	$-0.851267\pi$
$277$		−	14.9937i		−	0.900883i	0.892806	−	0.450442i	$-0.148733\pi$
$278$	9.40963	−	2.52130i	0.564352	−	0.151218i
$279$	0.421800	−	6.66874i	0.0252525	−	0.399247i
$280$	−13.4674	−	10.0046i	−0.804828	−	0.597890i
$281$	3.84425	−	3.84425i	0.229329	−	0.229329i	−0.583084	−	0.812412i	$-0.698154\pi$
$281$	3.84425	−	3.84425i	0.229329	−	0.229329i	0.812412	+	0.583084i	$0.198154\pi$
$282$	5.90541	−	2.23034i	0.351662	−	0.132815i
$283$	18.0058	+	10.3956i	1.07033	+	0.617956i	0.928272	−	0.371902i	$-0.121294\pi$
$283$	18.0058	+	10.3956i	1.07033	+	0.617956i	0.142059	+	0.989858i	$0.454628\pi$
$284$	−7.30960	−	27.2798i	−0.433745	−	1.61876i
$285$	−21.5503	−	17.6447i	−1.27653	−	1.04518i
$286$	0.0786909	−	5.04684i	0.00465309	−	0.298426i
$287$	7.38753	+	2.92610i	0.436072	+	0.172722i
$288$	8.15680	−	12.2681i	0.480644	−	0.722903i
$289$	−15.4793			−0.910547
$290$	2.35142			0.138080
$291$	6.74324	−	14.9280i	0.395295	−	0.875092i
$292$	6.23304	+	1.67014i	0.364761	+	0.0977375i
$293$	6.06086	+	22.6194i	0.354079	+	1.32144i	0.881639	+	0.471924i	$0.156440\pi$
$293$	6.06086	+	22.6194i	0.354079	+	1.32144i	−0.527560	+	0.849518i	$0.676893\pi$
$294$	−0.764533	+	5.78746i	−0.0445885	+	0.337531i
$295$	−17.7886	+	30.8108i	−1.03569	+	1.79388i
$296$	4.38360			0.254792
$297$	14.7247	+	3.38017i	0.854412	+	0.196137i
$298$	0.305536	−	0.176401i	0.0176992	−	0.0102187i
$299$	12.7706	−	7.10998i	0.738542	−	0.411181i
$300$	−3.57444	+	21.8049i	−0.206370	+	1.25891i
$301$	16.1689	−	21.7652i	0.931961	−	1.25453i
$302$	−5.65575	+	3.26535i	−0.325452	+	0.187900i
$303$	5.50861	−	2.08048i	0.316461	−	0.119520i
$304$	11.8340	+	3.17092i	0.678728	+	0.181865i
$305$	−15.7871	−	15.7871i	−0.903964	−	0.903964i
$306$	−0.986237	+	1.48333i	−0.0563794	+	0.0847963i
$307$	4.18540	+	4.18540i	0.238874	+	0.238874i	0.816384	−	0.577510i	$-0.195976\pi$
$307$	4.18540	+	4.18540i	0.238874	+	0.238874i	−0.577510	+	0.816384i	$0.695976\pi$
$308$	1.98511	+	13.4559i	0.113112	+	0.766721i
$309$	−2.98718	−	7.90935i	−0.169935	−	0.449947i
$310$	2.65036	+	2.65036i	0.150530	+	0.150530i
$311$	2.43302	+	4.21412i	0.137964	+	0.238961i	0.926726	−	0.375738i	$-0.122611\pi$
$311$	2.43302	+	4.21412i	0.137964	+	0.238961i	−0.788762	+	0.614699i	$0.789277\pi$
$312$	9.30434	−	6.46600i	0.526755	−	0.366065i
$313$	−6.54113	+	11.3296i	−0.369727	+	0.640386i	−0.989523	−	0.144377i	$-0.953882\pi$
$313$	−6.54113	+	11.3296i	−0.369727	+	0.640386i	0.619796	+	0.784763i	$0.287215\pi$
$314$	−0.404543	+	1.50977i	−0.0228297	+	0.0852015i
$315$	26.1050	−	9.38446i	1.47085	−	0.528754i
$316$	−22.4165	−	12.9422i	−1.26103	−	0.728054i
$317$	−32.7079	+	8.76405i	−1.83706	+	0.492238i	−0.998608	−	0.0527429i	$-0.983204\pi$
$317$	−32.7079	+	8.76405i	−1.83706	+	0.492238i	−0.838449	+	0.544981i	$0.816537\pi$
$318$	5.68334	+	7.91200i	0.318706	+	0.443683i
$319$	−2.87277	−	2.87277i	−0.160844	−	0.160844i
$320$	−2.67847	−	9.99618i	−0.149731	−	0.558803i
$321$	−5.59128	+	6.82888i	−0.312075	+	0.381151i
$322$	4.04760	−	3.20718i	0.225564	−	0.178729i
$323$	−5.48054	−	1.46851i	−0.304946	−	0.0817099i
$324$	6.15693	+	14.6742i	0.342051	+	0.815234i
$325$	−13.3564	+	22.3229i	−0.740882	+	1.23825i
$326$	3.86913	−	2.23384i	0.214291	−	0.123721i
$327$	10.8821	+	15.1493i	0.601779	+	0.837760i
$328$	−2.72447	−	4.71891i	−0.150433	−	0.260558i
$329$	−19.8122	+	2.92283i	−1.09228	+	0.161141i
$330$	−6.88270	+	4.94398i	−0.378880	+	0.272157i
$331$	−18.5070	−	4.95893i	−1.01724	−	0.272568i	−0.288586	−	0.957454i	$-0.593185\pi$
$331$	−18.5070	−	4.95893i	−1.01724	−	0.272568i	−0.728650	+	0.684886i	$0.759852\pi$
$332$	−3.18396	+	3.18396i	−0.174742	+	0.174742i
$333$	−4.01317	+	6.03592i	−0.219920	+	0.330766i
$334$	0.298869	+	0.517655i	0.0163534	+	0.0283248i
$335$	−17.5351	−	30.3716i	−0.958042	−	1.65938i
$336$	−8.76537	+	8.48907i	−0.478190	+	0.463116i
$337$			9.78176i			0.532846i	0.963856	+	0.266423i	$0.0858419\pi$
$337$			9.78176i			0.532846i	−0.963856	+	0.266423i	$0.914158\pi$
$338$	6.09364	−	1.43076i	0.331450	−	0.0778228i
$339$	1.96509	+	5.20310i	0.106729	+	0.282594i
$340$	1.97237	+	7.36097i	0.106967	+	0.399205i
$341$		−	6.47597i		−	0.350693i
$342$	4.98675	−	4.39345i	0.269652	−	0.237570i
$343$	6.28068	−	17.4228i	0.339125	−	0.940741i
$344$	−17.9598	+	4.81232i	−0.968328	+	0.259463i
$345$	−22.3641	−	10.1023i	−1.20404	−	0.543889i
$346$	−0.696560	+	2.59960i	−0.0374473	+	0.139755i
$347$		−	6.68787i		−	0.359024i	−0.983756	−	0.179512i	$-0.942548\pi$
$347$		−	6.68787i		−	0.359024i	0.983756	−	0.179512i	$-0.0574518\pi$
$348$	0.692276	−	4.22305i	0.0371099	−	0.226379i
$349$	−7.89446	+	29.4625i	−0.422581	+	1.57709i	0.346569	+	0.938025i	$0.387347\pi$
$349$	−7.89446	+	29.4625i	−0.422581	+	1.57709i	−0.769150	+	0.639069i	$0.779320\pi$
$350$	−3.38461	+	8.54512i	−0.180915	+	0.456756i
$351$	0.385157	+	18.7310i	0.0205581	+	0.999789i
$352$	7.13892	−	12.3650i	0.380506	−	0.659056i
$353$	−4.49062	+	1.20326i	−0.239012	+	0.0640430i	−0.376336	−	0.926483i	$-0.622816\pi$
$353$	−4.49062	+	1.20326i	−0.239012	+	0.0640430i	0.137325	+	0.990526i	$0.456150\pi$
$354$	−6.56851	−	5.37809i	−0.349112	−	0.285842i
$355$	−48.3447	+	27.9118i	−2.56587	+	1.48141i
$356$	14.5010	+	14.5010i	0.768551	+	0.768551i
$357$	4.05940	−	3.93144i	0.214846	−	0.208074i
$358$	−11.5544	+	3.09600i	−0.610671	+	0.163629i
$359$	3.02718	+	11.2976i	0.159769	+	0.596265i	0.998650	+	0.0519498i	$0.0165436\pi$
$359$	3.02718	+	11.2976i	0.159769	+	0.596265i	−0.838881	+	0.544315i	$0.816790\pi$
$360$	−18.0275	−	6.07363i	−0.950132	−	0.320108i
$361$	1.87896	+	1.08482i	0.0988926	+	0.0570957i
$362$	−4.67565	+	4.67565i	−0.245746	+	0.245746i
$363$	−4.35278	−	0.713542i	−0.228462	−	0.0374513i
$364$	−15.5834	+	6.45451i	−0.816794	+	0.338308i
$365$		−	12.7549i		−	0.667622i
$366$	4.32684	−	3.10806i	0.226168	−	0.162461i
$367$	−7.18324	+	12.4417i	−0.374962	+	0.649454i	−0.990321	−	0.138793i	$-0.955678\pi$
$367$	−7.18324	+	12.4417i	−0.374962	+	0.649454i	0.615359	+	0.788247i	$0.289011\pi$
$368$	10.7945			0.562700
$369$	8.99186	+	0.568738i	0.468097	+	0.0296073i
$370$	−1.05230	−	3.92725i	−0.0547067	−	0.204168i
$371$	−12.2702	−	28.3654i	−0.637035	−	1.47266i
$372$	5.54022	−	3.97965i	0.287247	−	0.206335i
$373$	1.26182	+	2.18553i	0.0653345	+	0.113163i	0.896842	−	0.442350i	$-0.145855\pi$
$373$	1.26182	+	2.18553i	0.0653345	+	0.113163i	−0.831508	+	0.555513i	$0.812522\pi$
$374$	−0.863166	+	1.49505i	−0.0446332	+	0.0773070i
$375$	13.3416	−	1.32942i	0.688957	−	0.0686507i
$376$	11.8934	+	6.86665i	0.613354	+	0.354120i
$377$	2.58680	−	4.32337i	0.133227	−	0.222665i
$378$	1.20213	+	6.50930i	0.0618308	+	0.334802i
$379$	−1.41467	−	0.379061i	−0.0726669	−	0.0194710i	0.222302	−	0.974978i	$-0.428643\pi$
$379$	−1.41467	−	0.379061i	−0.0726669	−	0.0194710i	−0.294969	+	0.955507i	$0.595309\pi$
$380$		−	28.4331i		−	1.45859i
$381$	14.9204	+	2.44587i	0.764397	+	0.125306i
$382$	2.46501	+	0.660497i	0.126121	+	0.0337940i
$383$	−5.09226	+	19.0046i	−0.260202	+	0.971089i	0.704919	+	0.709287i	$0.250983\pi$
$383$	−5.09226	+	19.0046i	−0.260202	+	0.971089i	−0.965122	+	0.261801i	$0.915684\pi$
$384$	19.3847	−	1.93158i	0.989223	−	0.0985706i
$385$	24.6752	−	10.6739i	1.25757	−	0.543992i
$386$	4.70869	+	2.71856i	0.239666	+	0.138371i
$387$	9.81589	−	29.1351i	0.498970	−	1.48102i
$388$	16.1521	−	4.32795i	0.820000	−	0.219718i
$389$	7.31209	+	12.6649i	0.370738	+	0.642137i	0.989679	−	0.143301i	$-0.0457715\pi$
$389$	7.31209	+	12.6649i	0.370738	+	0.642137i	−0.618942	+	0.785437i	$0.712438\pi$
$390$	−8.02642	−	6.78354i	−0.406433	−	0.343498i
$391$	−4.99911			−0.252816
$392$	−10.7957	+	6.68954i	−0.545267	+	0.337873i
$393$	8.10575	+	21.4621i	0.408881	+	1.08262i
$394$	−8.92262	+	5.15148i	−0.449515	+	0.259528i
$395$	−13.2420	+	49.4198i	−0.666278	+	2.48658i
$396$	6.85285	+	13.8166i	0.344369	+	0.694309i
$397$	3.97616	−	14.8392i	0.199558	−	0.744759i	−0.791482	−	0.611192i	$-0.790690\pi$
$397$	3.97616	−	14.8392i	0.199558	−	0.744759i	0.991040	−	0.133567i	$-0.0426431\pi$
$398$	0.979827	−	0.979827i	0.0491143	−	0.0491143i
$399$	−18.4263	+	10.2486i	−0.922469	+	0.513072i
$400$	−16.6376	+	9.60573i	−0.831881	+	0.480286i
$401$	−4.25617	+	4.25617i	−0.212543	+	0.212543i	−0.805347	−	0.592804i	$-0.798021\pi$
$401$	−4.25617	+	4.25617i	−0.212543	+	0.212543i	0.592804	+	0.805347i	$0.298021\pi$
$402$	7.82860	−	2.95669i	0.390455	−	0.147466i
$403$	7.78866	−	1.95735i	0.387981	−	0.0975024i
$404$	5.20584	+	3.00559i	0.259000	+	0.149534i
$405$	24.8671	−	19.2622i	1.23565	−	0.957149i
$406$	0.655511	−	1.65497i	0.0325325	−	0.0821348i
$407$	−3.51237	+	6.08360i	−0.174102	+	0.301553i
$408$	−3.85616	+	0.384244i	−0.190908	+	0.0190229i
$409$	22.3926	−	22.3926i	1.10724	−	1.10724i	0.113729	−	0.993512i	$-0.463720\pi$
$409$	22.3926	−	22.3926i	1.10724	−	1.10724i	0.993512	−	0.113729i	$-0.0362797\pi$
$410$	−3.57364	+	3.57364i	−0.176489	+	0.176489i
$411$	11.8473	−	1.18052i	0.584386	−	0.0582308i
$412$	4.31548	−	7.47462i	0.212608	−	0.368248i
$413$	16.7262	+	21.1091i	0.823042	+	1.03871i
$414$	3.24211	−	4.87623i	0.159341	−	0.239653i
$415$	7.70785	+	4.45013i	0.378364	+	0.218448i
$416$	17.0291	+	4.84871i	0.834921	+	0.237728i
$417$	−32.7830	+	12.3814i	−1.60539	+	0.606320i
$418$	4.55452	−	4.55452i	0.222769	−	0.222769i
$419$	−22.1574	+	12.7926i	−1.08246	+	0.624960i	−0.931560	−	0.363589i	$-0.881551\pi$
$419$	−22.1574	+	12.7926i	−1.08246	+	0.624960i	−0.150903	+	0.988549i	$0.548218\pi$
$420$	24.2951	+	14.5504i	1.18548	+	0.709985i
$421$	5.16333	−	5.16333i	0.251645	−	0.251645i	−0.570000	−	0.821645i	$-0.693057\pi$
$421$	5.16333	−	5.16333i	0.251645	−	0.251645i	0.821645	+	0.570000i	$0.193057\pi$
$422$	−0.271078	+	1.01168i	−0.0131959	+	0.0492477i
$423$	−20.3432	+	10.0900i	−0.989122	+	0.490592i
$424$	−5.48529	+	20.4714i	−0.266389	+	0.994177i
$425$	7.70517	−	4.44858i	0.373756	−	0.215788i
$426$	−4.70637	−	12.4614i	−0.228025	−	0.603755i
$427$	−15.5122	+	6.71020i	−0.750688	+	0.324729i
$428$	−9.00992			−0.435511
$429$	1.51845	+	18.0935i	0.0733112	+	0.873564i
$430$	8.62268	+	14.9349i	0.415822	+	0.720226i
$431$	−10.5917	+	2.83803i	−0.510182	+	0.136703i	−0.504722	−	0.863282i	$-0.668405\pi$
$431$	−10.5917	+	2.83803i	−0.510182	+	0.136703i	−0.00546062	+	0.999985i	$0.501738\pi$
$432$	−6.48046	+	12.2246i	−0.311791	+	0.588157i
$433$	−10.2514	−	5.91863i	−0.492649	−	0.284431i	0.233024	−	0.972471i	$-0.425138\pi$
$433$	−10.2514	−	5.91863i	−0.492649	−	0.284431i	−0.725673	+	0.688040i	$0.758471\pi$
$434$	2.60421	−	1.12652i	0.125006	−	0.0540747i
$435$	−8.41705	+	0.838712i	−0.403567	+	0.0402132i
$436$	−4.92833	+	18.3928i	−0.236024	+	0.880854i
$437$	18.0165	+	4.82750i	0.861845	+	0.230931i
$438$	3.00345	+	0.492350i	0.143511	+	0.0235254i
$439$			17.5972i			0.839869i	0.907555	+	0.419934i	$0.137947\pi$
$439$			17.5972i			0.839869i	−0.907555	+	0.419934i	$0.862053\pi$
$440$	−17.8082	−	4.77169i	−0.848972	−	0.227481i
$441$	0.672402	−	20.9892i	0.0320191	−	0.999487i
$442$	−2.05899	−	0.586257i	−0.0979360	−	0.0278854i
$443$	−6.31670	−	3.64695i	−0.300116	−	0.173272i	0.342379	−	0.939562i	$-0.388767\pi$
$443$	−6.31670	−	3.64695i	−0.300116	−	0.173272i	−0.642495	+	0.766290i	$0.722101\pi$
$444$	−7.36298	+	0.733680i	−0.349432	+	0.0348189i
$445$	20.2677	−	35.1046i	0.960779	−	1.66412i
$446$	−4.97540	−	8.61764i	−0.235592	−	0.408057i
$447$	−1.03076	+	0.740418i	−0.0487535	+	0.0350206i
$448$	−7.78216	−	0.901508i	−0.367672	−	0.0425923i
$449$	−7.65908	−	28.5841i	−0.361454	−	1.34897i	−0.872165	−	0.489212i	$-0.837284\pi$
$449$	−7.65908	−	28.5841i	−0.361454	−	1.34897i	0.510711	−	0.859753i	$-0.329382\pi$
$450$	−0.657857	+	10.4008i	−0.0310117	+	0.490301i
$451$	8.73193			0.411171
$452$	−2.83890	+	4.91712i	−0.133531	+	0.231282i
$453$	19.0804	−	13.7058i	0.896475	−	0.643955i
$454$		−	6.46249i		−	0.303300i
$455$	20.2956	+	26.4508i	0.951470	+	1.24003i
$456$	14.2684	+	2.33899i	0.668179	+	0.109533i
$457$	−9.25129	+	9.25129i	−0.432757	+	0.432757i	−0.889565	−	0.456808i	$-0.848993\pi$
$457$	−9.25129	+	9.25129i	−0.432757	+	0.432757i	0.456808	+	0.889565i	$0.348993\pi$
$458$	0.744119	+	0.429618i	0.0347704	+	0.0200747i
$459$	3.00121	−	5.66144i	0.140085	−	0.264253i
$460$	−6.48386	−	24.1981i	−0.302312	−	1.12824i
$461$	−1.24322	+	0.333120i	−0.0579025	+	0.0155149i	−0.287654	−	0.957734i	$-0.592875\pi$
$461$	−1.24322	+	0.333120i	−0.0579025	+	0.0155149i	0.229752	+	0.973249i	$0.426209\pi$
$462$	1.56095	+	6.22241i	0.0726218	+	0.289492i
$463$	−9.42149	−	9.42149i	−0.437854	−	0.437854i	0.453435	−	0.891289i	$-0.350198\pi$
$463$	−9.42149	−	9.42149i	−0.437854	−	0.437854i	−0.891289	+	0.453435i	$0.850198\pi$
$464$	3.22228	−	1.86038i	0.149590	−	0.0863660i
$465$	−10.4325	−	8.54178i	−0.483793	−	0.396115i
$466$	−6.16945	+	1.65310i	−0.285794	+	0.0765783i
$467$	17.3529	−	30.0560i	0.802994	−	1.39083i	−0.114643	−	0.993407i	$-0.536572\pi$
$467$	17.3529	−	30.0560i	0.802994	−	1.39083i	0.917637	−	0.397420i	$-0.130094\pi$
$468$	−14.5460	+	12.4180i	−0.672388	+	0.574021i
$469$	−26.2643	+	3.87470i	−1.21277	+	0.178917i
$470$	3.29674	−	12.3036i	0.152067	−	0.567523i
$471$	0.909573	−	5.54862i	0.0419109	−	0.255667i
$472$		−	18.4690i		−	0.850107i
$473$	7.71176	−	28.7807i	0.354587	−	1.32334i
$474$	−11.1260	−	5.02580i	−0.511032	−	0.230843i
$475$	−32.0648	+	8.59175i	−1.47124	+	0.394216i
$476$	5.73061	+	0.663851i	0.262662	+	0.0304276i
$477$	−23.1659	−	26.2943i	−1.06069	−	1.20393i
$478$			1.66692i			0.0762430i
$479$	2.58821	+	9.65932i	0.118258	+	0.441346i	0.999510	−	0.0313015i	$-0.00996522\pi$
$479$	2.58821	+	9.65932i	0.118258	+	0.441346i	−0.881252	+	0.472647i	$0.843299\pi$
$480$	−10.5031	−	27.8098i	−0.479400	−	1.26934i
$481$	−8.37836	−	2.38558i	−0.382021	−	0.108773i
$482$			7.85383i			0.357732i
$483$	−13.3447	+	12.9240i	−0.607204	+	0.588063i
$484$	−2.25143	−	3.89959i	−0.102338	−	0.177254i
$485$	−16.5263	−	28.6244i	−0.750422	−	1.29977i
$486$	3.57588	+	6.59910i	0.162205	+	0.299341i
$487$	−18.6531	+	18.6531i	−0.845251	+	0.845251i	−0.989536	−	0.144286i	$-0.953912\pi$
$487$	−18.6531	+	18.6531i	−0.845251	+	0.845251i	0.144286	+	0.989536i	$0.453912\pi$
$488$	11.1952	+	2.99974i	0.506783	+	0.135792i
$489$	−13.0530	+	9.37623i	−0.590277	+	0.424008i
$490$	8.58470	+	8.06601i	0.387817	+	0.364385i
$491$	−7.59788	−	13.1599i	−0.342888	−	0.593899i	0.642080	−	0.766638i	$-0.278072\pi$
$491$	−7.59788	−	13.1599i	−0.342888	−	0.593899i	−0.984968	+	0.172739i	$0.944738\pi$
$492$	5.36599	+	7.47020i	0.241918	+	0.336783i
$493$	−1.49229	+	0.861575i	−0.0672095	+	0.0388034i
$494$	6.85433	+	4.10114i	0.308391	+	0.184519i
$495$	22.8736	−	20.1522i	1.02809	−	0.905774i
$496$	5.72882	+	1.53503i	0.257232	+	0.0689250i
$497$	6.16764	+	41.8068i	0.276656	+	1.87529i
$498$	−1.34542	+	1.64322i	−0.0602898	+	0.0736346i
$499$	4.38349	+	16.3594i	0.196232	+	0.732347i	0.991945	+	0.126673i	$0.0404299\pi$
$499$	4.38349	+	16.3594i	0.196232	+	0.732347i	−0.795713	+	0.605674i	$0.792903\pi$
$500$	9.67835	+	9.67835i	0.432829	+	0.432829i
$501$	−1.25446	−	1.74638i	−0.0560450	−	0.0780223i
$502$	9.21460	−	2.46904i	0.411268	−	0.110199i
$503$	−37.8676	−	21.8629i	−1.68843	−	0.974818i	−0.955718	−	0.294283i	$-0.904919\pi$
$503$	−37.8676	−	21.8629i	−1.68843	−	0.974818i	−0.732716	−	0.680535i	$-0.761747\pi$
$504$	−9.30029	+	10.9949i	−0.414268	+	0.489751i
$505$	3.07523	−	11.4769i	0.136846	−	0.510715i
$506$	2.83753	−	4.91475i	0.126144	−	0.218487i
$507$	−21.3022	+	7.29497i	−0.946064	+	0.323981i
$508$	7.71743	+	13.3670i	0.342405	+	0.593064i
$509$	−22.5907	−	22.5907i	−1.00131	−	1.00131i	−0.999999	−	0.00131479i	$-0.999581\pi$
$509$	−22.5907	−	22.5907i	−1.00131	−	1.00131i	−0.00131479	−	0.999999i	$-0.500419\pi$
$510$	1.26993	+	3.36248i	0.0562335	+	0.148893i
$511$	−8.97711	−	3.55571i	−0.397124	−	0.157296i
$512$	16.0785	+	16.0785i	0.710574	+	0.710574i
$513$	−16.2833	+	17.5053i	−0.718924	+	0.772877i
$514$	2.65023	+	2.65023i	0.116897	+	0.116897i
$515$	−16.4787	−	4.41546i	−0.726139	−	0.194568i
$516$	29.3610	−	11.0890i	1.29255	−	0.488166i
$517$	−19.0592	+	11.0038i	−0.838222	+	0.483948i
$518$	−3.05742	−	0.354181i	−0.134335	−	0.0155618i
$519$	1.56615	−	9.55386i	0.0687461	−	0.419368i
$520$	0.356438	−	22.8602i	0.0156308	−	1.00248i
$521$	16.8967	−	9.75530i	0.740257	−	0.427388i	−0.0819057	−	0.996640i	$-0.526101\pi$
$521$	16.8967	−	9.75530i	0.740257	−	0.427388i	0.822163	+	0.569252i	$0.192767\pi$
$522$	0.127410	−	2.01437i	0.00557658	−	0.0881668i
$523$	9.01176			0.394057			0.197028	−	0.980398i	$-0.436871\pi$
$523$	9.01176			0.394057			0.197028	+	0.980398i	$0.436871\pi$
$524$	−11.7101	+	20.2824i	−0.511557	+	0.886043i
$525$	9.06750	−	31.7950i	0.395738	−	1.38765i
$526$	2.30943	+	8.61891i	0.100696	+	0.375802i
$527$	−2.65312	−	0.710901i	−0.115572	−	0.0309673i
$528$	−5.52018	+	12.2204i	−0.240235	+	0.531825i
$529$	−6.56617			−0.285486
$530$	19.6570			0.853845
$531$	25.4306	+	16.9083i	1.10359	+	0.733759i
$532$	−20.0117	−	7.92638i	−0.867618	−	0.343652i
$533$	2.63921	+	10.5019i	0.114317	+	0.454888i
$534$	7.48389	+	6.12758i	0.323860	+	0.265166i
$535$	4.60933	+	17.2023i	0.199279	+	0.743719i
$536$	15.7667	+	9.10288i	0.681016	+	0.393185i
$537$	40.2555	−	15.2036i	1.73715	−	0.656083i
$538$	−0.726040	+	0.726040i	−0.0313018	+	0.0313018i
$539$	−0.633700	−	20.3424i	−0.0272954	−	0.876210i
$540$	31.2967	+	7.18442i	1.34679	+	0.309168i
$541$	16.6960	−	4.47369i	0.717819	−	0.192339i	0.118621	−	0.992940i	$-0.462153\pi$
$541$	16.6960	−	4.47369i	0.717819	−	0.192339i	0.599198	+	0.800601i	$0.295486\pi$
$542$		−	8.42499i		−	0.361884i
$543$	15.0690	−	18.4045i	0.646673	−	0.789811i
$544$	−4.28209	−	4.28209i	−0.183593	−	0.183593i
$545$	37.6378			1.61223
$546$	−7.01191	+	3.75806i	−0.300082	+	0.160830i
$547$	22.6531			0.968576			0.484288	−	0.874909i	$-0.339079\pi$
$547$	22.6531			0.968576			0.484288	+	0.874909i	$0.339079\pi$
$548$	8.59437	+	8.59437i	0.367133	+	0.367133i
$549$	−14.3796	+	12.6688i	−0.613706	+	0.540690i
$550$			10.1002i			0.430674i
$551$	6.21013	−	1.66400i	0.264560	−	0.0708887i
$552$	12.6765	−	1.26315i	0.539549	−	0.0537631i
$553$	31.0910	+	23.0968i	1.32212	+	0.982177i
$554$	5.10481	−	5.10481i	0.216882	−	0.216882i
$555$	5.16757	+	13.6825i	0.219351	+	0.580789i
$556$	−30.9811	−	17.8870i	−1.31389	−	0.758576i
$557$	−2.32404	−	8.67343i	−0.0984727	−	0.367505i	0.899050	−	0.437845i	$-0.144258\pi$
$557$	−2.32404	−	8.67343i	−0.0984727	−	0.367505i	−0.997523	+	0.0703402i	$0.977592\pi$
$558$	2.41407	−	2.12686i	0.102196	−	0.0900370i
$559$	36.9454	+	0.576057i	1.56263	+	0.0243646i
$560$	3.59353	+	24.3585i	0.151854	+	1.02933i
$561$	2.55649	−	5.65948i	0.107935	−	0.238944i
$562$	2.61765			0.110419
$563$	−13.8832			−0.585107			−0.292553	−	0.956249i	$-0.594505\pi$
$563$	−13.8832			−0.585107			−0.292553	+	0.956249i	$0.594505\pi$
$564$	−21.1262	−	9.54308i	−0.889572	−	0.401836i
$565$	10.8404	+	2.90467i	0.456058	+	0.122200i
$566$	2.59097	+	9.66964i	0.108907	+	0.406445i
$567$	−6.62484	−	22.8716i	−0.278217	−	0.960518i
$568$	14.4897	−	25.0969i	0.607975	−	1.05304i
$569$	40.7786			1.70953			0.854765	−	0.519015i	$-0.173701\pi$
$569$	40.7786			1.70953			0.854765	+	0.519015i	$0.173701\pi$
$570$	−1.32970	−	13.3445i	−0.0556952	−	0.558939i
$571$	0.912831	−	0.527023i	0.0382008	−	0.0220552i	−0.480778	−	0.876842i	$-0.659646\pi$
$571$	0.912831	−	0.527023i	0.0382008	−	0.0220552i	0.518979	+	0.854787i	$0.326312\pi$
$572$	−13.3095	+	12.9008i	−0.556499	+	0.539411i
$573$	−9.05923	−	1.48506i	−0.378455	−	0.0620393i
$574$	1.51895	+	3.51142i	0.0633999	+	0.146564i
$575$	−25.3296	+	14.6241i	−1.05632	+	0.609865i
$576$	−8.70848	+	1.75291i	−0.362853	+	0.0730378i
$577$	−39.7655	−	10.6551i	−1.65546	−	0.443579i	−0.694327	−	0.719660i	$-0.744298\pi$
$577$	−39.7655	−	10.6551i	−1.65546	−	0.443579i	−0.961134	+	0.276081i	$0.910964\pi$
$578$	−5.27014	−	5.27014i	−0.219209	−	0.219209i
$579$	−17.8247	−	8.05174i	−0.740769	−	0.334619i
$580$	−6.10595	−	6.10595i	−0.253536	−	0.253536i
$581$	5.28081	−	4.18434i	0.219085	−	0.173596i
$582$	7.37826	−	2.78660i	0.305839	−	0.115508i
$583$	−24.0152	−	24.0152i	−0.994610	−	0.994610i
$584$	3.31069	+	5.73429i	0.136997	+	0.237286i
$585$	31.1506	+	21.4192i	1.28792	+	0.885574i
$586$	−5.63760	+	9.76461i	−0.232887	+	0.403372i
$587$	5.46425	−	20.3928i	0.225534	−	0.841703i	−0.756656	−	0.653813i	$-0.773168\pi$
$587$	5.46425	−	20.3928i	0.225534	−	0.841703i	0.982190	−	0.187890i	$-0.0601649\pi$
$588$	17.0136	−	13.0431i	0.701629	−	0.537887i
$589$	8.87517	+	5.12408i	0.365695	+	0.211134i
$590$	−16.5464	+	4.43358i	−0.681202	+	0.182528i
$591$	30.1016	−	21.6226i	1.23821	−	0.889433i
$592$	−4.54916	−	4.54916i	−0.186970	−	0.186970i
$593$	4.52630	+	16.8924i	0.185873	+	0.693687i	0.994442	+	0.105286i	$0.0335758\pi$
$593$	4.52630	+	16.8924i	0.185873	+	0.693687i	−0.808569	+	0.588401i	$0.799758\pi$
$594$	3.86239	+	6.16404i	0.158476	+	0.252914i
$595$	−1.66423	−	11.2808i	−0.0682267	−	0.462469i
$596$	−1.25145	−	0.335325i	−0.0512614	−	0.0137354i
$597$	−3.15786	+	3.85683i	−0.129243	+	0.157850i
$598$	6.76861	+	1.92723i	0.276789	+	0.0788104i
$599$	24.3563	−	14.0621i	0.995172	−	0.574563i	0.0883556	−	0.996089i	$-0.471839\pi$
$599$	24.3563	−	14.0621i	0.995172	−	0.574563i	0.906816	+	0.421526i	$0.138505\pi$
$600$	−18.4144	+	13.2274i	−0.751766	+	0.540008i
$601$	11.1198	+	19.2600i	0.453586	+	0.785633i	0.998606	−	0.0527897i	$-0.0168113\pi$
$601$	11.1198	+	19.2600i	0.453586	+	0.785633i	−0.545020	+	0.838423i	$0.683478\pi$
$602$	12.9152	−	1.90534i	0.526385	−	0.0776559i
$603$	−26.9683	+	13.3760i	−1.09824	+	0.544711i
$604$	23.1655	+	6.20717i	0.942590	+	0.252566i
$605$	−6.29352	+	6.29352i	−0.255868	+	0.255868i
$606$	2.58381	+	1.16715i	0.104960	+	0.0474124i
$607$	−12.9646	−	22.4554i	−0.526219	−	0.911437i	−0.999533	−	0.0305440i	$-0.990276\pi$
$607$	−12.9646	−	22.4554i	−0.526219	−	0.911437i	0.473315	−	0.880893i	$-0.343057\pi$
$608$	11.2973	+	19.5675i	0.458166	+	0.793566i
$609$	−1.75614	+	6.15787i	−0.0711624	+	0.249529i
$610$		−	10.7498i		−	0.435248i
$611$	−18.9949	−	19.5966i	−0.768452	−	0.792795i
$612$	6.41274	−	1.29080i	0.259220	−	0.0521777i
$613$	0.935669	+	3.49196i	0.0377913	+	0.141039i	0.982244	−	0.187609i	$-0.0600737\pi$
$613$	0.935669	+	3.49196i	0.0377913	+	0.141039i	−0.944453	+	0.328648i	$0.893407\pi$
$614$			2.84996i			0.115015i
$615$	11.5174	−	14.0667i	0.464426	−	0.567224i
$616$	−8.32282	+	11.2035i	−0.335336	+	0.451401i
$617$	1.77800	−	0.476415i	0.0715797	−	0.0191797i	−0.222851	−	0.974852i	$-0.571536\pi$
$617$	1.77800	−	0.476415i	0.0715797	−	0.0191797i	0.294431	+	0.955673i	$0.404870\pi$
$618$	1.67582	−	3.70987i	0.0674113	−	0.149233i
$619$	2.04977	−	7.64984i	0.0823871	−	0.307473i	−0.912419	−	0.409256i	$-0.865788\pi$
$619$	2.04977	−	7.64984i	0.0823871	−	0.307473i	0.994807	+	0.101783i	$0.0324549\pi$
$620$		−	13.7644i		−	0.552792i
$621$	−9.86604	+	18.6111i	−0.395911	+	0.746839i
$622$	−0.606399	+	2.26311i	−0.0243144	+	0.0907425i
$623$	−19.0571	−	24.0509i	−0.763508	−	0.963579i
$624$	−16.3660	−	2.94555i	−0.655163	−	0.117916i
$625$	−4.51000	+	7.81156i	−0.180400	+	0.312462i
$626$	−6.08433	+	1.63029i	−0.243179	+	0.0651595i
$627$	−14.6787	+	17.9277i	−0.586209	+	0.715963i
$628$	4.97092	−	2.86996i	0.198361	−	0.114524i
$629$	2.10680	+	2.10680i	0.0840035	+	0.0840035i
$630$	12.0829	+	5.69272i	0.481393	+	0.226803i
$631$	−13.5038	+	3.61834i	−0.537579	+	0.144044i	−0.517386	−	0.855752i	$-0.673095\pi$
$631$	−13.5038	+	3.61834i	−0.537579	+	0.144044i	−0.0201930	+	0.999796i	$0.506428\pi$
$632$	−6.87426	−	25.6551i	−0.273443	−	1.02050i
$633$	0.609492	−	3.71805i	0.0242251	−	0.147779i
$634$	−14.1197	−	8.15200i	−0.560764	−	0.323757i
$635$	21.5729	−	21.5729i	0.856094	−	0.856094i
$636$	5.78717	−	35.3031i	0.229476	−	1.39986i
$637$	24.2743	−	6.91060i	0.961784	−	0.273808i
$638$		−	1.95615i		−	0.0774446i
$639$	21.2915	+	42.9275i	0.842278	+	1.69818i
$640$	19.6544	−	34.0424i	0.776907	−	1.34564i
$641$	−21.4522			−0.847312			−0.423656	−	0.905823i	$-0.639253\pi$
$641$	−21.4522			−0.847312			−0.423656	+	0.905823i	$0.639253\pi$
$642$	−4.22862	+	0.421358i	−0.166890	+	0.0166297i
$643$	10.3365	+	38.5762i	0.407630	+	1.52130i	0.799153	+	0.601128i	$0.205282\pi$
$643$	10.3365	+	38.5762i	0.407630	+	1.52130i	−0.391522	+	0.920169i	$0.628051\pi$
$644$	−18.8385	−	2.18231i	−0.742343	−	0.0859952i
$645$	−36.1924	−	50.3848i	−1.42507	−	1.98390i
$646$	−1.36595	−	2.36590i	−0.0537427	−	0.0930851i
$647$	13.4511	−	23.2980i	0.528818	−	0.915940i	−0.470617	−	0.882338i	$-0.655969\pi$
$647$	13.4511	−	23.2980i	0.528818	−	0.915940i	0.999435	−	0.0336027i	$-0.0106981\pi$
$648$	−6.17986	+	15.1144i	−0.242768	+	0.593749i
$649$	25.6315	+	14.7984i	1.00612	+	0.580886i
$650$	−12.1475	+	3.05276i	−0.476465	+	0.119739i
$651$	−8.92013	+	4.96132i	−0.349607	+	0.194450i
$652$	−15.8476	−	4.24636i	−0.620641	−	0.166300i
$653$		−	41.0588i		−	1.60676i	−0.595469	−	0.803378i	$-0.703034\pi$
$653$		−	41.0588i		−	1.60676i	0.595469	−	0.803378i	$-0.296966\pi$
$654$	−1.45285	+	8.86274i	−0.0568110	+	0.346561i
$655$	44.7151	+	11.9814i	1.74716	+	0.468151i
$656$	−2.06978	+	7.72451i	−0.0808112	+	0.301591i
$657$	−10.9266	−	0.691114i	−0.426289	−	0.0269629i
$658$	−7.74044	−	5.75021i	−0.301754	−	0.224166i
$659$	41.8434	+	24.1583i	1.62999	+	0.941074i	0.984094	+	0.177648i	$0.0568488\pi$
$659$	41.8434	+	24.1583i	1.62999	+	0.941074i	0.645895	+	0.763427i	$0.276485\pi$
$660$	30.7104	+	5.03430i	1.19540	+	0.195960i
$661$	−44.3386	+	11.8805i	−1.72457	+	0.462098i	−0.978921	−	0.204239i	$-0.934528\pi$
$661$	−44.3386	+	11.8805i	−1.72457	+	0.462098i	−0.745651	+	0.666337i	$0.767861\pi$
$662$	−4.61262	−	7.98929i	−0.179275	−	0.310513i
$663$	7.57937	+	1.36413i	0.294358	+	0.0529786i
$664$	−4.62035			−0.179304
$665$	−4.89582	+	42.2625i	−0.189852	+	1.63887i
$666$	−3.42135	+	0.688675i	−0.132575	+	0.0266856i
$667$	4.90569	−	2.83230i	0.189949	−	0.109667i
$668$	0.568125	−	2.12027i	0.0219814	−	0.0820358i
$669$	20.8835	+	29.0727i	0.807402	+	1.12402i
$670$	4.37038	−	16.3105i	0.168842	−	0.630129i
$671$	−13.1332	+	13.1332i	−0.507003	+	0.507003i
$672$	−22.5010	−	0.360323i	−0.867994	−	0.0138998i
$673$	−4.70912	+	2.71881i	−0.181523	+	0.104802i	−0.588008	−	0.808855i	$-0.700088\pi$
$673$	−4.70912	+	2.71881i	−0.181523	+	0.104802i	0.406485	+	0.913657i	$0.366754\pi$
$674$	−3.33034	+	3.33034i	−0.128280	+	0.128280i
$675$	−1.35497	−	37.4651i	−0.0521528	−	1.44203i
$676$	−19.5386	−	12.1081i	−0.751486	−	0.465697i
$677$	2.94612	+	1.70094i	0.113228	+	0.0653725i	0.555545	−	0.831487i	$-0.312510\pi$
$677$	2.94612	+	1.70094i	0.113228	+	0.0653725i	−0.442316	+	0.896859i	$0.645843\pi$
$678$	−1.10242	+	2.44051i	−0.0423383	+	0.0937273i
$679$	−24.7534	+	3.65180i	−0.949950	+	0.140143i
$680$	−3.90979	+	6.77196i	−0.149934	+	0.259693i
$681$	2.30506	+	23.1328i	0.0883301	+	0.886452i
$682$	2.20483	−	2.20483i	0.0844274	−	0.0844274i
$683$	−9.23127	+	9.23127i	−0.353225	+	0.353225i	−0.861308	−	0.508083i	$-0.830354\pi$
$683$	−9.23127	+	9.23127i	−0.353225	+	0.353225i	0.508083	+	0.861308i	$0.330354\pi$
$684$	−24.3576	−	1.54063i	−0.931337	−	0.0589073i
$685$	12.0121	−	20.8056i	0.458960	−	0.794941i
$686$	8.07017	−	3.79348i	0.308120	−	0.144836i
$687$	−2.81686	−	1.27243i	−0.107470	−	0.0485461i
$688$	23.6322	+	13.6441i	0.900970	+	0.520175i
$689$	21.6246	−	36.1417i	0.823833	−	1.37689i
$690$	−4.17471	−	11.0536i	−0.158929	−	0.420805i
$691$	6.29526	−	6.29526i	0.239483	−	0.239483i	−0.577153	−	0.816636i	$-0.695836\pi$
$691$	6.29526	−	6.29526i	0.239483	−	0.239483i	0.816636	+	0.577153i	$0.195836\pi$
$692$	8.55916	−	4.94163i	0.325370	−	0.187853i
$693$	−7.80693	−	21.7167i	−0.296561	−	0.824949i
$694$	2.27698	−	2.27698i	0.0864328	−	0.0864328i
$695$	−18.3014	+	68.3016i	−0.694210	+	2.59083i
$696$	3.56640	−	2.56181i	0.135184	−	0.0971053i
$697$	0.958549	−	3.57736i	0.0363076	−	0.135502i
$698$	−12.7187	+	7.34315i	−0.481410	+	0.277942i
$699$	21.4943	−	8.11789i	0.812987	−	0.307047i
$700$	30.9780	−	13.4003i	1.17086	−	0.506485i
$701$	−2.47453			−0.0934617			−0.0467309	−	0.998908i	$-0.514880\pi$
$701$	−2.47453			−0.0934617			−0.0467309	+	0.998908i	$0.514880\pi$
$702$	−6.24611	+	6.50837i	−0.235744	+	0.245643i
$703$	−5.55829	−	9.62725i	−0.209635	−	0.363099i
$704$	−8.31581	+	2.22822i	−0.313414	+	0.0839790i
$705$	−7.41239	+	45.2174i	−0.279167	+	1.70298i
$706$	−1.93856	−	1.11923i	−0.0729587	−	0.0421227i
$707$	−7.22034	−	5.36384i	−0.271549	−	0.201728i
$708$	3.09115	+	31.0218i	0.116173	+	1.16587i
$709$	−1.73515	+	6.47568i	−0.0651651	+	0.243199i	−0.990824	−	0.135160i	$-0.956845\pi$
$709$	−1.73515	+	6.47568i	−0.0651651	+	0.243199i	0.925659	+	0.378360i	$0.123512\pi$
$710$	−25.9626	−	6.95665i	−0.974358	−	0.261078i
$711$	41.6186	+	14.0217i	1.56082	+	0.525855i
$712$			21.0429i			0.788615i
$713$	8.72173	+	2.33698i	0.326631	+	0.0875206i
$714$	2.72059	+	0.0435666i	0.101815	+	0.00163044i
$715$	31.4399	+	18.8114i	1.17579	+	0.703507i
$716$	38.0429	+	21.9641i	1.42173	+	0.820836i
$717$	−0.594561	−	5.96682i	−0.0222043	−	0.222835i
$718$	−2.81578	+	4.87707i	−0.105084	+	0.182011i
$719$	−20.1579	−	34.9144i	−0.751761	−	1.30209i	−0.946968	−	0.321327i	$-0.895871\pi$
$719$	−20.1579	−	34.9144i	−0.751761	−	1.30209i	0.195207	−	0.980762i	$-0.437462\pi$
$720$	12.4053	+	25.0114i	0.462320	+	0.932119i
$721$	−7.70148	+	10.3671i	−0.286818	+	0.386090i
$722$	0.270377	+	1.00906i	0.0100624	+	0.0375533i
$723$	−2.80133	−	28.1132i	−0.104183	−	1.04554i
$724$	24.2826			0.902454
$725$	−5.04079	+	8.73091i	−0.187210	+	0.324258i
$726$	−1.23903	−	1.72490i	−0.0459847	−	0.0640170i
$727$		−	10.4619i		−	0.388012i	−0.981000	−	0.194006i	$-0.937852\pi$
$727$		−	10.4619i		−	0.388012i	0.981000	−	0.194006i	$-0.0621481\pi$
$728$	−15.9900	−	6.62365i	−0.592629	−	0.245489i
$729$	−15.1538	−	22.3464i	−0.561254	−	0.827644i
$730$	4.34258	−	4.34258i	0.160726	−	0.160726i
$731$	−10.9445	−	6.31881i	−0.404797	−	0.233709i
$732$	−19.3063	−	3.16483i	−0.713580	−	0.116976i
$733$	−0.221443	−	0.826435i	−0.00817917	−	0.0305251i	0.961716	−	0.274049i	$-0.0883631\pi$
$733$	−0.221443	−	0.826435i	−0.00817917	−	0.0305251i	−0.969895	+	0.243524i	$0.921696\pi$
$734$	−6.68160	+	1.79033i	−0.246622	+	0.0660822i
$735$	−33.6064	−	25.8107i	−1.23959	−	0.952042i
$736$	14.0767	+	14.0767i	0.518875	+	0.518875i
$737$	−25.2661	+	14.5874i	−0.930689	+	0.537334i
$738$	2.86777	+	3.25504i	0.105564	+	0.119820i
$739$	−26.7139	+	7.15797i	−0.982687	+	0.263310i	−0.714176	−	0.699966i	$-0.753198\pi$
$739$	−26.7139	+	7.15797i	−0.982687	+	0.263310i	−0.268511	+	0.963277i	$0.586532\pi$
$740$	−7.46540	+	12.9304i	−0.274433	+	0.475333i
$741$	−25.9983	−	12.2354i	−0.955070	−	0.449480i
$742$	5.47983	−	13.8349i	0.201171	−	0.507896i
$743$	6.26937	−	23.3976i	0.230001	−	0.858375i	−0.750338	−	0.661054i	$-0.770109\pi$
$743$	6.26937	−	23.3976i	0.230001	−	0.858375i	0.980339	−	0.197321i	$-0.0632240\pi$
$744$	6.90730	+	1.13230i	0.253234	+	0.0415121i
$745$			2.56089i			0.0938236i
$746$	−0.314492	+	1.17370i	−0.0115144	+	0.0429722i
$747$	4.22991	−	6.36190i	0.154764	−	0.232770i
$748$	6.12359	−	1.64081i	0.223900	−	0.0599939i
$749$	13.3922	+	1.55139i	0.489340	+	0.0566866i
$750$	4.99495	+	4.08971i	0.182390	+	0.149335i
$751$		−	36.5507i		−	1.33376i	−0.745167	−	0.666878i	$-0.767630\pi$
$751$		−	36.5507i		−	1.33376i	0.745167	−	0.666878i	$-0.232370\pi$
$752$	−5.21659	−	19.4686i	−0.190229	−	0.709946i
$753$	−32.1035	+	12.1248i	−1.16992	+	0.441851i
$754$	2.35266	−	0.591241i	0.0856789	−	0.0215317i
$755$		−	47.4043i		−	1.72522i
$756$	13.7812	−	20.0243i	0.501216	−	0.728277i
$757$	−3.13970	−	5.43812i	−0.114114	−	0.197652i	0.803311	−	0.595560i	$-0.203070\pi$
$757$	−3.13970	−	5.43812i	−0.114114	−	0.197652i	−0.917425	+	0.397908i	$0.869736\pi$
$758$	−0.352589	−	0.610702i	−0.0128066	−	0.0221817i
$759$	−8.40409	+	18.6047i	−0.305049	+	0.675308i
$760$	20.6301	−	20.6301i	0.748334	−	0.748334i
$761$	−30.2298	−	8.10005i	−1.09583	−	0.293627i	−0.334764	−	0.942302i	$-0.608657\pi$
$761$	−30.2298	−	8.10005i	−1.09583	−	0.293627i	−0.761065	+	0.648675i	$0.775323\pi$
$762$	4.24713	+	5.91260i	0.153857	+	0.214191i
$763$	10.4924	−	26.4901i	0.379850	−	0.959006i
$764$	−4.68579	−	8.11602i	−0.169526	−	0.293627i
$765$	−5.74513	−	11.5832i	−0.207716	−	0.418792i
$766$	−8.20410	+	4.73664i	−0.296426	+	0.171142i
$767$	−10.0510	+	35.2998i	−0.362919	+	1.27460i
$768$	−0.679053	−	0.555988i	−0.0245032	−	0.0200625i
$769$	1.01242	+	0.271278i	0.0365089	+	0.00978253i	0.277027	−	0.960862i	$-0.410651\pi$
$769$	1.01242	+	0.271278i	0.0365089	+	0.00978253i	−0.240518	+	0.970645i	$0.577317\pi$
$770$	12.0351	+	4.76694i	0.433715	+	0.171789i
$771$	−10.4319	−	8.54136i	−0.375697	−	0.307610i
$772$	−5.16777	−	19.2864i	−0.185992	−	0.694133i
$773$	35.1986	+	35.1986i	1.26600	+	1.26600i	0.948135	+	0.317869i	$0.102967\pi$
$773$	35.1986	+	35.1986i	1.26600	+	1.26600i	0.317869	+	0.948135i	$0.397033\pi$
$774$	13.2614	−	6.57749i	0.476671	−	0.236423i
$775$	−15.5225	+	4.15924i	−0.557585	+	0.149404i
$776$	14.8597	+	8.57923i	0.533431	+	0.307976i
$777$	11.0705	+	0.177280i	0.397153	+	0.00635988i
$778$	−1.82244	+	6.80145i	−0.0653377	+	0.243844i
$779$	−6.90911	+	11.9669i	−0.247544	+	0.428760i
$780$	3.22739	+	38.4571i	0.115559	+	1.37698i
$781$	23.2198	+	40.2179i	0.830870	+	1.43911i
$782$	−1.70201	−	1.70201i	−0.0608639	−	0.0608639i
$783$	0.262422	+	7.25602i	0.00937821	+	0.259309i
$784$	18.1457	+	4.26128i	0.648060	+	0.152189i
$785$	−8.02254	−	8.02254i	−0.286337	−	0.286337i
$786$	−4.54735	+	10.0668i	−0.162199	+	0.359070i
$787$	20.7404	+	20.7404i	0.739315	+	0.739315i	0.972445	−	0.233130i	$-0.0748969\pi$
$787$	20.7404	+	20.7404i	0.739315	+	0.739315i	−0.233130	+	0.972445i	$0.574897\pi$
$788$	36.5463	+	9.79255i	1.30191	+	0.348845i
$789$	−11.3410	−	30.0281i	−0.403749	−	1.06903i
$790$	−21.3341	+	12.3172i	−0.759033	+	0.438228i
$791$	5.06636	−	6.81990i	0.180139	−	0.242488i
$792$	−5.05265	+	14.9971i	−0.179538	+	0.532897i
$793$	−19.7649	−	11.8259i	−0.701871	−	0.419950i
$794$	6.40595	−	3.69848i	0.227339	−	0.131254i
$795$	−70.3633	+	7.01132i	−2.49553	+	0.248666i
$796$	−5.08864			−0.180362
$797$	5.49750	−	9.52194i	0.194731	−	0.337285i	−0.752081	−	0.659071i	$-0.770950\pi$
$797$	5.49750	−	9.52194i	0.194731	−	0.337285i	0.946812	+	0.321786i	$0.104283\pi$
$798$	−9.76276	−	2.78421i	−0.345598	−	0.0985599i
$799$	2.41589	+	9.01624i	0.0854682	+	0.318971i
$800$	−34.2231	−	9.17006i	−1.20997	−	0.324211i
$801$	−28.9746	−	19.2647i	−1.02377	−	0.680683i
$802$	−2.89814			−0.102337
$803$	−10.6108			−0.374447
$804$	−28.0062	−	12.6509i	−0.987704	−	0.446164i
$805$	5.47090	+	37.0841i	0.192824	+	1.30704i
$806$	3.31816	+	1.98535i	0.116877	+	0.0699310i
$807$	2.33994	−	2.85787i	0.0823697	−	0.100602i
$808$	1.59643	+	5.95794i	0.0561621	+	0.209600i
$809$	41.6001	+	24.0178i	1.46258	+	0.844422i	0.999130	−	0.0417010i	$-0.0132777\pi$
$809$	41.6001	+	24.0178i	1.46258	+	0.844422i	0.463451	+	0.886123i	$0.346611\pi$
$810$	15.0244	+	1.90823i	0.527905	+	0.0670485i
$811$	−9.32601	+	9.32601i	−0.327480	+	0.327480i	−0.851628	−	0.524147i	$-0.824384\pi$
$811$	−9.32601	+	9.32601i	−0.327480	+	0.327480i	0.524147	+	0.851628i	$0.324384\pi$
$812$	−5.99964	+	2.59530i	−0.210546	+	0.0910772i
$813$	3.00505	+	30.1577i	0.105392	+	1.05768i
$814$	−3.26708	+	0.875411i	−0.114511	+	0.0306831i
$815$			32.4296i			1.13596i
$816$	4.40055	+	3.60304i	0.154050	+	0.126132i
$817$	33.3414	+	33.3414i	1.16647	+	1.16647i
$818$	15.2477			0.533124
$819$	23.7591	−	15.9532i	0.830210	−	0.557451i
$820$	18.5594			0.648122
$821$	13.5561	+	13.5561i	0.473111	+	0.473111i	0.902920	−	0.429809i	$-0.141419\pi$
$821$	13.5561	+	13.5561i	0.473111	+	0.473111i	−0.429809	+	0.902920i	$0.641419\pi$
$822$	4.43551	+	3.63166i	0.154706	+	0.126669i
$823$			7.59091i			0.264602i	0.991210	+	0.132301i	$0.0422366\pi$
$823$			7.59091i			0.264602i	−0.991210	+	0.132301i	$0.957763\pi$
$824$	8.55451	−	2.29217i	0.298010	−	0.0798516i
$825$	−3.60257	−	36.1542i	−0.125425	−	1.25873i
$826$	−1.49224	+	12.8816i	−0.0519216	+	0.448207i
$827$	−35.0795	+	35.0795i	−1.21983	+	1.21983i	−0.252144	+	0.967690i	$0.581136\pi$
$827$	−35.0795	+	35.0795i	−1.21983	+	1.21983i	−0.967690	+	0.252144i	$0.918864\pi$
$828$	−21.0809	+	4.24333i	−0.732613	+	0.147466i
$829$	27.9625	+	16.1441i	0.971177	+	0.560709i	0.899595	−	0.436726i	$-0.143862\pi$
$829$	27.9625	+	16.1441i	0.971177	+	0.560709i	0.0715819	+	0.997435i	$0.477195\pi$
$830$	1.10914	+	4.13935i	0.0384987	+	0.143679i
$831$	−16.4522	+	20.0937i	−0.570719	+	0.697044i
$832$	−5.19331	−	9.32797i	−0.180046	−	0.323389i
$833$	−8.40358	−	1.97347i	−0.291167	−	0.0683768i
$834$	−15.3768	−	6.94600i	−0.532456	−	0.240520i
$835$	−4.33879			−0.150150
$836$	−23.6535			−0.818074
$837$	−7.88270	+	8.47426i	−0.272466	+	0.292913i
$838$	−11.8992	−	3.18839i	−0.411052	−	0.110141i
$839$	8.68099	+	32.3979i	0.299701	+	1.11850i	0.937412	+	0.348223i	$0.113215\pi$
$839$	8.68099	+	32.3979i	0.299701	+	1.11850i	−0.637711	+	0.770276i	$0.720118\pi$
$840$	7.07046	+	28.1850i	0.243954	+	0.972475i
$841$	−13.5237	+	23.4238i	−0.466335	+	0.807717i
$842$	3.51586			0.121164
$843$	−9.37004	+	0.933673i	−0.322721	+	0.0321574i
$844$	3.33094	−	1.92312i	0.114656	−	0.0661965i
$845$	−13.1219	+	43.4986i	−0.451407	+	1.49640i
$846$	−10.3614	−	3.49086i	−0.356233	−	0.120018i
$847$	2.67503	+	6.18395i	0.0919150	+	0.212483i
$848$	26.9370	−	15.5521i	0.925021	−	0.534061i
$849$	−12.7235	−	33.6889i	−0.436671	−	1.15620i
$850$	4.13791	+	1.10875i	0.141929	+	0.0380298i
$851$	−6.92579	−	6.92579i	−0.237413	−	0.237413i
$852$	−20.1374	+	44.5796i	−0.689897	+	1.52727i
$853$	17.5058	+	17.5058i	0.599388	+	0.599388i	0.940150	−	0.340762i	$-0.110685\pi$
$853$	17.5058	+	17.5058i	0.599388	+	0.599388i	−0.340762	+	0.940150i	$0.610685\pi$
$854$	−7.56592	−	2.99676i	−0.258900	−	0.102547i
$855$	9.51951	+	47.2931i	0.325560	+	1.61739i
$856$	−6.53730	−	6.53730i	−0.223440	−	0.223440i
$857$	−4.78340	−	8.28509i	−0.163398	−	0.283013i	0.772687	−	0.634787i	$-0.218912\pi$
$857$	−4.78340	−	8.28509i	−0.163398	−	0.283013i	−0.936085	+	0.351773i	$0.885579\pi$
$858$	−5.64322	+	6.67717i	−0.192656	+	0.227955i
$859$	18.6079	−	32.2298i	0.634892	−	1.09967i	−0.351646	−	0.936133i	$-0.614378\pi$
$859$	18.6079	−	32.2298i	0.634892	−	1.09967i	0.986538	−	0.163532i	$-0.0522888\pi$
$860$	16.3910	−	61.1722i	0.558930	−	2.08595i
$861$	−6.68965	−	12.0275i	−0.227983	−	0.409897i
$862$	−4.57232	−	2.63983i	−0.155734	−	0.0899130i
$863$	9.57113	−	2.56458i	0.325805	−	0.0872992i	−0.0922093	−	0.995740i	$-0.529393\pi$
$863$	9.57113	−	2.56458i	0.325805	−	0.0872992i	0.418014	+	0.908440i	$0.362726\pi$
$864$	−24.3927	+	7.49079i	−0.829857	+	0.254842i
$865$	−13.8136	−	13.8136i	−0.469676	−	0.469676i
$866$	−1.47514	−	5.50530i	−0.0501273	−	0.187078i
$867$	20.7445	+	16.9850i	0.704521	+	0.576841i
$868$	−9.68762	−	3.83714i	−0.328819	−	0.130241i
$869$	41.1123	+	11.0160i	1.39464	+	0.373693i
$870$	−3.15125	−	2.58015i	−0.106837	−	0.0874752i
$871$	−25.1809	−	25.9786i	−0.853223	−	0.880251i
$872$	−16.9210	+	9.76936i	−0.573018	+	0.330832i
$873$	−25.4170	+	12.6065i	−0.860234	+	0.426665i
$874$	4.49037	+	7.77755i	0.151889	+	0.263079i
$875$	−12.7192	−	16.0522i	−0.429989	−	0.542664i
$876$	−6.52060	−	9.07757i	−0.220311	−	0.306703i
$877$	12.3350	+	3.30515i	0.416523	+	0.111607i	0.460993	−	0.887404i	$-0.347493\pi$
$877$	12.3350	+	3.30515i	0.416523	+	0.111607i	−0.0444700	+	0.999011i	$0.514160\pi$
$878$	−5.99121	+	5.99121i	−0.202194	+	0.202194i
$879$	16.6972	−	36.9638i	0.563184	−	1.24676i
$880$	13.5289	+	23.4327i	0.456058	+	0.789916i
$881$	0.684197	+	1.18506i	0.0230512	+	0.0399258i	0.877321	−	0.479904i	$-0.159329\pi$
$881$	0.684197	+	1.18506i	0.0230512	+	0.0399258i	−0.854270	+	0.519830i	$0.825995\pi$
$882$	7.37500	−	6.91714i	0.248329	−	0.232912i
$883$		−	15.1673i		−	0.510421i	−0.966885	−	0.255211i	$-0.917855\pi$
$883$		−	15.1673i		−	0.510421i	0.966885	−	0.255211i	$-0.0821448\pi$
$884$	3.82425	+	6.86892i	0.128623	+	0.231027i
$885$	57.6472	−	21.7721i	1.93779	−	0.731860i
$886$	−0.908954	−	3.39226i	−0.0305369	−	0.113965i
$887$			32.0938i			1.07761i	0.842432	+	0.538803i	$0.181123\pi$
$887$			32.0938i			1.07761i	−0.842432	+	0.538803i	$0.818877\pi$
$888$	−5.87467	−	4.81000i	−0.197141	−	0.161413i
$889$	−9.16943	−	21.1973i	−0.307533	−	0.710934i
$890$	18.8522	−	5.05144i	0.631929	−	0.169325i
$891$	−16.0242	−	20.6869i	−0.536833	−	0.693037i
$892$	−9.45784	+	35.2971i	−0.316672	+	1.18184i
$893$		−	34.8269i		−	1.16544i
$894$	−0.603024	−	0.0988524i	−0.0201681	−	0.00330612i
$895$	22.4729	−	83.8701i	0.751187	−	2.80347i
$896$	−18.4805	−	23.3231i	−0.617390	−	0.779172i
$897$	−24.9160	−	4.48439i	−0.831923	−	0.149729i
$898$	7.12420	−	12.3395i	0.237738	−	0.411774i
$899$	3.00631	−	0.805538i	0.100266	−	0.0268662i
$900$	28.7162	−	25.2997i	0.957207	−	0.843323i
$901$	−12.4750	+	7.20244i	−0.415602	+	0.239948i
$902$	2.97291	+	2.97291i	0.0989870	+	0.0989870i
$903$	−45.5511	+	11.4269i	−1.51585	+	0.380264i
$904$	−5.62751	+	1.50789i	−0.187168	+	0.0501516i
$905$	−12.4226	−	46.3616i	−0.412940	−	1.54111i
$906$	11.1625	+	1.82985i	0.370850	+	0.0607926i
$907$	11.2937	+	6.52041i	0.375000	+	0.216507i	0.675641	−	0.737231i	$-0.263867\pi$
$907$	11.2937	+	6.52041i	0.375000	+	0.216507i	−0.300640	+	0.953738i	$0.597200\pi$
$908$	−16.7812	+	16.7812i	−0.556903	+	0.556903i
$909$	−9.66520	−	3.25630i	−0.320574	−	0.108005i
$910$	−2.09563	+	15.9154i	−0.0694695	+	0.527591i
$911$			47.5417i			1.57513i	0.616234	+	0.787563i	$0.288658\pi$
$911$			47.5417i			1.57513i	−0.616234	+	0.787563i	$0.711342\pi$
$912$	−12.3800	−	17.2346i	−0.409942	−	0.570696i
$913$	3.70206	−	6.41216i	0.122520	−	0.212211i
$914$	−6.29945			−0.208367
$915$	3.83429	+	38.4797i	0.126758	+	1.27210i
$916$	−0.816669	−	3.04785i	−0.0269835	−	0.100704i
$917$	20.8980	−	28.1312i	0.690114	−	0.928973i
$918$	2.94932	−	0.905710i	0.0973420	−	0.0298929i
$919$	11.8321	+	20.4939i	0.390306	+	0.676030i	0.992490	−	0.122327i	$-0.0390357\pi$
$919$	11.8321	+	20.4939i	0.390306	+	0.676030i	−0.602183	+	0.798358i	$0.705702\pi$
$920$	12.8529	−	22.2618i	0.423746	−	0.733950i
$921$	−1.01653	−	10.2016i	−0.0334958	−	0.336154i
$922$	−0.536686	−	0.309856i	−0.0176748	−	0.0102046i
$923$	−41.3520	+	40.0823i	−1.36112	+	1.31933i
$924$	12.1044	−	20.2111i	0.398207	−	0.664896i
$925$	16.8379	+	4.51169i	0.553626	+	0.148344i
$926$		−	6.41535i		−	0.210821i
$927$	−4.67544	+	13.8774i	−0.153562	+	0.455795i
$928$	6.62814	+	1.77600i	0.217579	+	0.0583002i
$929$	−7.84536	+	29.2793i	−0.257398	+	0.960622i	0.709343	+	0.704864i	$0.248992\pi$
$929$	−7.84536	+	29.2793i	−0.257398	+	0.960622i	−0.966741	+	0.255759i	$0.917675\pi$
$930$	−0.643707	−	6.46004i	−0.0211080	−	0.211833i
$931$	28.3803	+	15.2274i	0.930125	+	0.499057i
$932$	20.3128	+	11.7276i	0.665369	+	0.384151i
$933$	1.36343	−	8.31723i	0.0446366	−	0.272294i
$934$	16.1410	−	4.32497i	0.528150	−	0.141517i
$935$	−6.26546	−	10.8521i	−0.204902	−	0.354901i
$936$	−19.5641	−	1.54401i	−0.639474	−	0.0504675i
$937$	−50.8450			−1.66103			−0.830516	−	0.556994i	$-0.811954\pi$
$937$	−50.8450			−1.66103			−0.830516	+	0.556994i	$0.811954\pi$
$938$	−10.2612	−	7.62286i	−0.335042	−	0.248895i
$939$	21.1977	−	8.00590i	0.691761	−	0.261263i
$940$	−40.5095	+	23.3882i	−1.32128	+	0.762839i
$941$	9.06161	−	33.8184i	0.295400	−	1.10245i	−0.645499	−	0.763761i	$-0.723351\pi$
$941$	9.06161	−	33.8184i	0.295400	−	1.10245i	0.940899	−	0.338687i	$-0.109983\pi$
$942$	2.19878	−	1.57943i	0.0716401	−	0.0514605i
$943$	−3.15109	+	11.7600i	−0.102614	+	0.382959i
$944$	−19.1666	+	19.1666i	−0.623820	+	0.623820i
$945$	−45.2818	−	16.0677i	−1.47302	−	0.522681i
$946$	12.4243	−	7.17320i	0.403950	−	0.233221i
$947$	24.2810	−	24.2810i	0.789027	−	0.789027i	−0.192308	−	0.981335i	$-0.561597\pi$
$947$	24.2810	−	24.2810i	0.789027	−	0.789027i	0.981335	+	0.192308i	$0.0615972\pi$
$948$	15.8403	+	41.9414i	0.514470	+	1.36219i
$949$	−3.20709	−	12.7616i	−0.104106	−	0.414260i
$950$	−13.8421	−	7.99173i	−0.449097	−	0.259286i
$951$	53.4499	+	24.1443i	1.73323	+	0.782933i
$952$	3.67628	+	4.63961i	0.119149	+	0.150371i
$953$	21.5891	−	37.3934i	0.699339	−	1.21129i	−0.269357	−	0.963040i	$-0.586811\pi$
$953$	21.5891	−	37.3934i	0.699339	−	1.21129i	0.968696	−	0.248250i	$-0.0798554\pi$
$954$	1.06510	−	16.8394i	0.0344838	−	0.545196i
$955$	−13.0984	+	13.0984i	−0.423854	+	0.423854i
$956$	4.32849	−	4.32849i	0.139993	−	0.139993i
$957$	0.697724	+	7.00214i	0.0225542	+	0.226347i
$958$	−2.40746	+	4.16984i	−0.0777814	+	0.134721i
$959$	−11.2947	−	14.2544i	−0.364724	−	0.460297i
$960$	−7.37898	+	16.3354i	−0.238156	+	0.527221i
$961$	−22.5503	−	13.0194i	−0.727430	−	0.419982i
$962$	−2.04033	−	3.66473i	−0.0657828	−	0.118156i
$963$	14.9863	−	3.01655i	0.482926	−	0.0972070i
$964$	20.3941	−	20.3941i	0.656850	−	0.656850i
$965$	−34.1789	+	19.7332i	−1.10026	+	0.635235i
$966$	−8.94353	−	0.143219i	−0.287754	−	0.00460799i
$967$	26.4402	−	26.4402i	0.850258	−	0.850258i	−0.139906	−	0.990165i	$-0.544680\pi$
$967$	26.4402	−	26.4402i	0.850258	−	0.850258i	0.990165	+	0.139906i	$0.0446802\pi$
$968$	1.19585	−	4.46297i	0.0384361	−	0.143445i
$969$	5.73338	+	7.98166i	0.184183	+	0.256408i
$970$	4.11897	−	15.3722i	0.132252	−	0.493572i
$971$	−29.5297	+	17.0490i	−0.947655	+	0.547129i	−0.892352	−	0.451341i	$-0.850946\pi$
$971$	−29.5297	+	17.0490i	−0.947655	+	0.547129i	−0.0553030	+	0.998470i	$0.517612\pi$
$972$	7.85041	−	26.4214i	0.251802	−	0.847467i
$973$	42.9699	+	31.9214i	1.37755	+	1.02335i
$974$	−12.7014			−0.406978
$975$	42.3939	−	15.2603i	1.35769	−	0.488722i
$976$	−8.50499	−	14.7311i	−0.272238	−	0.471530i
$977$	−13.4328	+	3.59931i	−0.429754	+	0.115152i	−0.467210	−	0.884146i	$-0.654741\pi$
$977$	−13.4328	+	3.59931i	−0.429754	+	0.115152i	0.0374569	+	0.999298i	$0.488074\pi$
$978$	−7.63634	−	1.25181i	−0.244183	−	0.0400285i
$979$	−29.2035	−	16.8606i	−0.933348	−	0.538869i
$980$	−1.34690	−	43.2370i	−0.0430253	−	1.38116i
$981$	2.03937	−	32.2429i	0.0651122	−	1.02944i
$982$	1.89367	−	7.06728i	0.0604295	−	0.225526i
$983$	−16.7343	−	4.48394i	−0.533741	−	0.143015i	−0.0181256	−	0.999836i	$-0.505770\pi$
$983$	−16.7343	−	4.48394i	−0.533741	−	0.143015i	−0.515615	+	0.856820i	$0.672437\pi$
$984$	−1.52675	+	9.31352i	−0.0486709	+	0.296904i
$985$		−	74.7860i		−	2.38288i
$986$	−0.801407	−	0.214736i	−0.0255220	−	0.00683859i
$987$	29.7584	+	17.8223i	0.947219	+	0.567291i
$988$	−7.14922	−	28.4481i	−0.227447	−	0.905056i
$989$	35.9784	+	20.7721i	1.14405	+	0.660516i
$990$	14.6487	+	0.926536i	0.465567	+	0.0294473i
$991$	22.5214	−	39.0081i	0.715415	−	1.23913i	−0.247385	−	0.968917i	$-0.579571\pi$
$991$	22.5214	−	39.0081i	0.715415	−	1.23913i	0.962799	−	0.270217i	$-0.0870955\pi$
$992$	5.46899	+	9.47257i	0.173641	+	0.300754i
$993$	19.3608	+	26.9529i	0.614396	+	0.855324i
$994$	−12.1339	+	16.3336i	−0.384863	+	0.518069i
$995$	2.60327	+	9.71553i	0.0825292	+	0.308003i
$996$	7.76064	−	0.773304i	0.245905	−	0.0245031i
$997$	−20.2408			−0.641034			−0.320517	−	0.947243i	$-0.603857\pi$
$997$	−20.2408			−0.641034			−0.320517	+	0.947243i	$0.603857\pi$
$998$	−4.07736	+	7.06220i	−0.129067	+	0.223550i
$999$	12.0013	−	3.68549i	0.379704	−	0.116604i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.bv.b.2.17	yes	128
3.2	odd	2	inner	273.2.bv.b.2.16	✓	128
7.4	even	3		273.2.bw.b.158.16	yes	128
13.7	odd	12		273.2.bw.b.254.17	yes	128
21.11	odd	6		273.2.bw.b.158.17	yes	128
39.20	even	12		273.2.bw.b.254.16	yes	128
91.46	odd	12	inner	273.2.bv.b.137.16	yes	128
273.137	even	12	inner	273.2.bv.b.137.17	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bv.b.2.16	✓	128	3.2	odd	2	inner
273.2.bv.b.2.17	yes	128	1.1	even	1	trivial
273.2.bv.b.137.16	yes	128	91.46	odd	12	inner
273.2.bv.b.137.17	yes	128	273.137	even	12	inner
273.2.bw.b.158.16	yes	128	7.4	even	3
273.2.bw.b.158.17	yes	128	21.11	odd	6
273.2.bw.b.254.16	yes	128	39.20	even	12
273.2.bw.b.254.17	yes	128	13.7	odd	12

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(0.340464 + 0.340464i) q^{2} +(-1.34015 - 1.09727i) q^{3} -1.76817i q^{4} +(-3.37589 + 0.904567i) q^{5} +(-0.0826902 - 0.829853i) q^{6} +(-0.304456 + 2.62818i) q^{7} +(1.28292 - 1.28292i) q^{8} +(0.591989 + 2.94101i) q^{9} +O(q^{10})\)	\(q+(0.340464 + 0.340464i) q^{2} +(-1.34015 - 1.09727i) q^{3} -1.76817i q^{4} +(-3.37589 + 0.904567i) q^{5} +(-0.0826902 - 0.829853i) q^{6} +(-0.304456 + 2.62818i) q^{7} +(1.28292 - 1.28292i) q^{8} +(0.591989 + 2.94101i) q^{9} +(-1.45734 - 0.841396i) q^{10} +(0.752508 + 2.80840i) q^{11} +(-1.94016 + 2.36961i) q^{12} +(-3.15023 + 1.75388i) q^{13} +(-0.998455 + 0.791142i) q^{14} +(5.51674 + 2.49202i) q^{15} -2.66276 q^{16} +1.23317 q^{17} +(-0.799757 + 1.20286i) q^{18} +(-4.44427 - 1.19084i) q^{19} +(1.59943 + 5.96914i) q^{20} +(3.29184 - 3.18807i) q^{21} +(-0.699956 + 1.21236i) q^{22} -4.05387 q^{23} +(-3.12703 + 0.311591i) q^{24} +(6.24826 - 3.60743i) q^{25} +(-1.66967 - 0.475406i) q^{26} +(2.43374 - 4.59096i) q^{27} +(4.64706 + 0.538329i) q^{28} +(-1.21013 + 0.698667i) q^{29} +(1.02981 + 2.72669i) q^{30} +(-2.15146 - 0.576482i) q^{31} +(-3.47242 - 3.47242i) q^{32} +(2.07311 - 4.58938i) q^{33} +(0.419850 + 0.419850i) q^{34} +(-1.34955 - 9.14783i) q^{35} +(5.20021 - 1.04674i) q^{36} +(1.70844 + 1.70844i) q^{37} +(-1.10768 - 1.91855i) q^{38} +(6.14624 + 1.10620i) q^{39} +(-3.17052 + 5.49150i) q^{40} +(0.777305 - 2.90094i) q^{41} +(2.20617 + 0.0353289i) q^{42} +(-8.87509 - 5.12403i) q^{43} +(4.96573 - 1.33056i) q^{44} +(-4.65883 - 9.39304i) q^{45} +(-1.38019 - 1.38019i) q^{46} +(1.95909 + 7.31143i) q^{47} +(3.56849 + 2.92177i) q^{48} +(-6.81461 - 1.60033i) q^{49} +(3.35551 + 0.899105i) q^{50} +(-1.65263 - 1.35312i) q^{51} +(3.10115 + 5.57013i) q^{52} +(-10.1162 + 5.84059i) q^{53} +(2.39166 - 0.734457i) q^{54} +(-5.08077 - 8.80015i) q^{55} +(2.98116 + 3.76235i) q^{56} +(4.64930 + 6.47247i) q^{57} +(-0.649875 - 0.174133i) q^{58} +(7.19802 - 7.19802i) q^{59} +(4.40630 - 9.75454i) q^{60} +(3.19405 + 5.53226i) q^{61} +(-0.536223 - 0.928765i) q^{62} +(-7.90973 + 0.660443i) q^{63} +2.96105i q^{64} +(9.04831 - 8.77048i) q^{65} +(2.26833 - 0.856699i) q^{66} +(2.59710 + 9.69251i) q^{67} -2.18045i q^{68} +(5.43278 + 4.44819i) q^{69} +(2.65503 - 3.57398i) q^{70} +(15.4283 - 4.13399i) q^{71} +(4.53257 + 3.01362i) q^{72} +(-0.944558 + 3.52514i) q^{73} +1.16332i q^{74} +(-12.3319 - 2.02155i) q^{75} +(-2.10560 + 7.85822i) q^{76} +(-7.61007 + 1.12269i) q^{77} +(1.71595 + 2.46919i) q^{78} +(7.31953 - 12.6778i) q^{79} +(8.98918 - 2.40864i) q^{80} +(-8.29910 + 3.48209i) q^{81} +(1.25231 - 0.723021i) q^{82} +(-1.80071 - 1.80071i) q^{83} +(-5.63705 - 5.82053i) q^{84} +(-4.16305 + 1.11548i) q^{85} +(-1.27710 - 4.76619i) q^{86} +(2.38838 + 0.391521i) q^{87} +(4.56838 + 2.63755i) q^{88} +(-8.20114 + 8.20114i) q^{89} +(1.61183 - 4.78415i) q^{90} +(-3.65039 - 8.81332i) q^{91} +7.16792i q^{92} +(2.25072 + 3.13331i) q^{93} +(-1.82228 + 3.15628i) q^{94} +16.0806 q^{95} +(0.843366 + 8.46375i) q^{96} +(2.44770 + 9.13494i) q^{97} +(-1.77528 - 2.86498i) q^{98} +(-7.81406 + 3.87568i) 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

Introduction

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