LMFDB - Embedded newform 189.2.ba.a.38.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [189,2,Mod(5,189)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(189, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([5, 15]))

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

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

chi := DirichletCharacter("189.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 189 = 3^{3} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	189.ba (of order $18$, degree $6$, 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:	$1.50917259820$
Analytic rank:	$0$
Dimension:	$132$
Relative dimension:	$22$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			38.17
Character	$\chi$	$=$	189.38
Dual form			189.2.ba.a.5.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.72891 + 0.304854i) q^{2} +(1.65859 + 0.499066i) q^{3} +(1.01682 + 0.370091i) q^{4} +(-0.0612092 - 0.347134i) q^{5} +(2.71542 + 1.36847i) q^{6} +(-2.64149 - 0.150064i) q^{7} +(-1.39560 - 0.805749i) q^{8} +(2.50187 + 1.65549i) q^{9} -0.618825i q^{10} +(0.991951 + 0.174908i) q^{11} +(1.50179 + 1.12129i) q^{12} +(-0.216492 - 0.258005i) q^{13} +(-4.52116 - 1.06472i) q^{14} +(0.0717217 - 0.606302i) q^{15} +(-3.82506 - 3.20961i) q^{16} -5.22261 q^{17} +(3.82082 + 3.62491i) q^{18} +0.554345i q^{19} +(0.0662328 - 0.375625i) q^{20} +(-4.30627 - 1.56717i) q^{21} +(1.66167 + 0.604800i) q^{22} +(1.52594 + 1.81855i) q^{23} +(-1.91261 - 2.03290i) q^{24} +(4.58171 - 1.66761i) q^{25} +(-0.295641 - 0.512066i) q^{26} +(3.32338 + 3.99439i) q^{27} +(-2.63037 - 1.13018i) q^{28} +(0.750003 - 0.893819i) q^{29} +(0.308834 - 1.02638i) q^{30} +(-0.597247 + 1.64092i) q^{31} +(-3.56303 - 4.24626i) q^{32} +(1.55795 + 0.785149i) q^{33} +(-9.02943 - 1.59213i) q^{34} +(0.109591 + 0.926138i) q^{35} +(1.93126 + 2.60925i) q^{36} +(3.07080 - 5.31879i) q^{37} +(-0.168994 + 0.958414i) q^{38} +(-0.230310 - 0.535969i) q^{39} +(-0.194280 + 0.533779i) q^{40} +(-8.82053 + 7.40131i) q^{41} +(-6.96741 - 4.02229i) q^{42} +(5.78827 - 2.10676i) q^{43} +(0.943900 + 0.544961i) q^{44} +(0.421542 - 0.969816i) q^{45} +(2.08383 + 3.60930i) q^{46} +(5.19006 - 1.88903i) q^{47} +(-4.74242 - 7.23239i) q^{48} +(6.95496 + 0.792784i) q^{49} +(8.42975 - 1.48639i) q^{50} +(-8.66218 - 2.60642i) q^{51} +(-0.124647 - 0.342465i) q^{52} +(3.63746 + 2.10009i) q^{53} +(4.52813 + 7.91909i) q^{54} -0.355046i q^{55} +(3.56555 + 2.33781i) q^{56} +(-0.276655 + 0.919434i) q^{57} +(1.56917 - 1.31669i) q^{58} +(-10.1514 + 8.51803i) q^{59} +(0.297315 - 0.589955i) q^{60} +(-4.82679 - 13.2615i) q^{61} +(-1.53283 + 2.65494i) q^{62} +(-6.36023 - 4.74841i) q^{63} +(0.127580 + 0.220974i) q^{64} +(-0.0763111 + 0.0909440i) q^{65} +(2.45421 + 1.83240i) q^{66} +(1.45474 + 8.25023i) q^{67} +(-5.31043 - 1.93284i) q^{68} +(1.62335 + 3.77778i) q^{69} +(-0.0928631 + 1.63462i) q^{70} +(-9.96202 + 5.75157i) q^{71} +(-2.15769 - 4.32628i) q^{72} +(6.89023 - 3.97807i) q^{73} +(6.93060 - 8.25957i) q^{74} +(8.43144 - 0.479307i) q^{75} +(-0.205158 + 0.563667i) q^{76} +(-2.59398 - 0.610873i) q^{77} +(-0.234794 - 0.996854i) q^{78} +(2.05871 - 11.6755i) q^{79} +(-0.880037 + 1.52427i) q^{80} +(3.51868 + 8.28365i) q^{81} +(-17.5062 + 10.1072i) q^{82} +(2.81649 + 2.36332i) q^{83} +(-3.79869 - 3.18724i) q^{84} +(0.319671 + 1.81295i) q^{85} +(10.6497 - 1.87782i) q^{86} +(1.69003 - 1.10818i) q^{87} +(-1.24343 - 1.04336i) q^{88} +3.99054 q^{89} +(1.02446 - 1.54822i) q^{90} +(0.533144 + 0.714005i) q^{91} +(0.878576 + 2.41387i) q^{92} +(-1.80952 + 2.42356i) q^{93} +(9.54903 - 1.68375i) q^{94} +(0.192432 - 0.0339310i) q^{95} +(-3.79046 - 8.82101i) q^{96} +(5.45431 + 14.9856i) q^{97} +(11.7828 + 3.49090i) q^{98} +(2.19217 + 2.07976i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 132 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} - 18 q^{6} - 6 q^{7} - 18 q^{8} + 3 q^{9} - 9 q^{11} - 9 q^{12} + 3 q^{14} - 24 q^{15} + 3 q^{16} - 18 q^{17} - 3 q^{18} + 18 q^{20} - 21 q^{21} - 12 q^{22}+ \cdots + 96 q^{99}+O(q^{100}) $ 132 * q - 3 * q^2 - 9 * q^3 - 3 * q^4 - 9 * q^5 - 18 * q^6 - 6 * q^7 - 18 * q^8 + 3 * q^9 - 9 * q^11 - 9 * q^12 + 3 * q^14 - 24 * q^15 + 3 * q^16 - 18 * q^17 - 3 * q^18 + 18 * q^20 - 21 * q^21 - 12 * q^22 - 6 * q^23 - 9 * q^24 - 3 * q^25 - 12 * q^28 + 6 * q^29 + 51 * q^30 - 9 * q^31 + 3 * q^32 - 9 * q^33 - 18 * q^34 + 18 * q^35 + 3 * q^37 - 99 * q^38 - 36 * q^39 - 54 * q^40 - 45 * q^42 - 12 * q^43 - 9 * q^44 - 9 * q^45 + 3 * q^46 + 45 * q^47 - 24 * q^49 - 9 * q^50 - 48 * q^51 - 9 * q^52 - 45 * q^53 + 171 * q^54 + 3 * q^56 - 3 * q^58 + 36 * q^59 + 57 * q^60 - 9 * q^61 - 99 * q^62 - 33 * q^63 + 18 * q^64 + 69 * q^65 - 9 * q^66 - 3 * q^67 + 36 * q^68 + 108 * q^69 + 66 * q^70 + 18 * q^71 - 129 * q^72 - 9 * q^73 + 75 * q^74 + 36 * q^75 + 36 * q^76 + 15 * q^77 + 66 * q^78 - 21 * q^79 + 72 * q^80 - 33 * q^81 - 18 * q^82 - 90 * q^83 - 120 * q^84 + 9 * q^85 - 105 * q^86 - 54 * q^87 - 63 * q^88 - 18 * q^89 + 81 * q^90 + 6 * q^91 + 150 * q^92 + 21 * q^93 - 9 * q^94 + 45 * q^95 - 81 * q^96 + 27 * q^98 + 96 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/189\mathbb{Z}\right)^\times$.

$n$	$29$	$136$
$\chi(n)$	$e\left(\frac{13}{18}\right)$	$e\left(\frac{1}{6}\right)$

Coefficient data

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

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

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

$2$	1.72891	+	0.304854i	1.22253	+	0.215564i	0.747412	−	0.664360i	$-0.231296\pi$
$2$	1.72891	+	0.304854i	1.22253	+	0.215564i	0.475113	+	0.879925i	$0.342407\pi$
$3$	1.65859	+	0.499066i	0.957590	+	0.288136i
$3$	1.65859	+	0.499066i	0.957590	+	0.288136i
$4$	1.01682	+	0.370091i	0.508408	+	0.185045i
$5$	−0.0612092	−	0.347134i	−0.0273736	−	0.155243i	0.968057	−	0.250730i	$-0.0806705\pi$
$5$	−0.0612092	−	0.347134i	−0.0273736	−	0.155243i	−0.995431	+	0.0954863i	$0.969559\pi$
$6$	2.71542	+	1.36847i	1.10857	+	0.558675i
$7$	−2.64149	−	0.150064i	−0.998390	−	0.0567187i
$7$	−2.64149	−	0.150064i	−0.998390	−	0.0567187i
$8$	−1.39560	−	0.805749i	−0.493418	−	0.284875i
$9$	2.50187	+	1.65549i	0.833956	+	0.551831i
$10$		−	0.618825i		−	0.195690i
$11$	0.991951	+	0.174908i	0.299084	+	0.0527366i	0.321177	−	0.947019i	$-0.395922\pi$
$11$	0.991951	+	0.174908i	0.299084	+	0.0527366i	−0.0220923	+	0.999756i	$0.507033\pi$
$12$	1.50179	+	1.12129i	0.433528	+	0.323688i
$13$	−0.216492	−	0.258005i	−0.0600440	−	0.0715576i	0.735186	−	0.677865i	$-0.237095\pi$
$13$	−0.216492	−	0.258005i	−0.0600440	−	0.0715576i	−0.795230	+	0.606307i	$0.792650\pi$
$14$	−4.52116	−	1.06472i	−1.20833	−	0.284557i
$15$	0.0717217	−	0.606302i	0.0185185	−	0.156547i
$16$	−3.82506	−	3.20961i	−0.956266	−	0.802402i
$17$	−5.22261			−1.26667			−0.633334	−	0.773879i	$-0.718314\pi$
$17$	−5.22261			−1.26667			−0.633334	+	0.773879i	$0.718314\pi$
$18$	3.82082	+	3.62491i	0.900577	+	0.854399i
$19$			0.554345i			0.127176i	0.997976	+	0.0635878i	$0.0202543\pi$
$19$			0.554345i			0.127176i	−0.997976	+	0.0635878i	$0.979746\pi$
$20$	0.0662328	−	0.375625i	0.0148101	−	0.0839923i
$21$	−4.30627	−	1.56717i	−0.939705	−	0.341985i
$22$	1.66167	+	0.604800i	0.354270	+	0.128944i
$23$	1.52594	+	1.81855i	0.318181	+	0.379194i	0.901302	−	0.433192i	$-0.142613\pi$
$23$	1.52594	+	1.81855i	0.318181	+	0.379194i	−0.583120	+	0.812386i	$0.698168\pi$
$24$	−1.91261	−	2.03290i	−0.390409	−	0.414965i
$25$	4.58171	−	1.66761i	0.916341	−	0.333521i
$26$	−0.295641	−	0.512066i	−0.0579800	−	0.100424i
$27$	3.32338	+	3.99439i	0.639585	+	0.768720i
$28$	−2.63037	−	1.13018i	−0.497094	−	0.213584i
$29$	0.750003	−	0.893819i	0.139272	−	0.165978i	−0.691900	−	0.721994i	$-0.743226\pi$
$29$	0.750003	−	0.893819i	0.139272	−	0.165978i	0.831172	+	0.556015i	$0.187670\pi$
$30$	0.308834	−	1.02638i	0.0563852	−	0.187390i
$31$	−0.597247	+	1.64092i	−0.107269	+	0.294718i	−0.981701	−	0.190429i	$-0.939012\pi$
$31$	−0.597247	+	1.64092i	−0.107269	+	0.294718i	0.874432	+	0.485148i	$0.161234\pi$
$32$	−3.56303	−	4.24626i	−0.629861	−	0.750640i
$33$	1.55795	+	0.785149i	0.271205	+	0.136677i
$34$	−9.02943	−	1.59213i	−1.54853	−	0.273048i
$35$	0.109591	+	0.926138i	0.0185243	+	0.156546i
$36$	1.93126	+	2.60925i	0.321876	+	0.434875i
$37$	3.07080	−	5.31879i	0.504837	−	0.874403i	−0.495148	−	0.868809i	$-0.664886\pi$
$37$	3.07080	−	5.31879i	0.504837	−	0.874403i	0.999984	−	0.00559410i	$-0.00178067\pi$
$38$	−0.168994	+	0.958414i	−0.0274145	+	0.155475i
$39$	−0.230310	−	0.535969i	−0.0368792	−	0.0858237i
$40$	−0.194280	+	0.533779i	−0.0307183	+	0.0843979i
$41$	−8.82053	+	7.40131i	−1.37754	+	1.15589i	−0.407422	+	0.913240i	$0.633572\pi$
$41$	−8.82053	+	7.40131i	−1.37754	+	1.15589i	−0.970114	+	0.242650i	$0.921983\pi$
$42$	−6.96741	−	4.02229i	−1.07509	−	0.620652i
$43$	5.78827	−	2.10676i	0.882703	−	0.321278i	0.139403	−	0.990236i	$-0.455482\pi$
$43$	5.78827	−	2.10676i	0.882703	−	0.321278i	0.743300	+	0.668958i	$0.233259\pi$
$44$	0.943900	+	0.544961i	0.142298	+	0.0821559i
$45$	0.421542	−	0.969816i	0.0628398	−	0.144572i
$46$	2.08383	+	3.60930i	0.307244	+	0.532162i
$47$	5.19006	−	1.88903i	0.757047	−	0.275543i	0.0654793	−	0.997854i	$-0.479142\pi$
$47$	5.19006	−	1.88903i	0.757047	−	0.275543i	0.691568	+	0.722311i	$0.256920\pi$
$48$	−4.74242	−	7.23239i	−0.684509	−	1.04391i
$49$	6.95496	+	0.792784i	0.993566	+	0.113255i
$50$	8.42975	−	1.48639i	1.19215	−	0.210208i
$51$	−8.66218	−	2.60642i	−1.21295	−	0.364972i
$52$	−0.124647	−	0.342465i	−0.0172854	−	0.0474913i
$53$	3.63746	+	2.10009i	0.499644	+	0.288469i	0.728566	−	0.684975i	$-0.240187\pi$
$53$	3.63746	+	2.10009i	0.499644	+	0.288469i	−0.228923	+	0.973445i	$0.573520\pi$
$54$	4.52813	+	7.91909i	0.616200	+	1.07765i
$55$		−	0.355046i		−	0.0478744i
$56$	3.56555	+	2.33781i	0.476466	+	0.312403i
$57$	−0.276655	+	0.919434i	−0.0366438	+	0.121782i
$58$	1.56917	−	1.31669i	0.206043	−	0.172890i
$59$	−10.1514	+	8.51803i	−1.32160	+	1.10895i	−0.335634	+	0.941992i	$0.608951\pi$
$59$	−10.1514	+	8.51803i	−1.32160	+	1.10895i	−0.985964	+	0.166960i	$0.946605\pi$
$60$	0.297315	−	0.589955i	0.0383832	−	0.0761628i
$61$	−4.82679	−	13.2615i	−0.618007	−	1.69796i	−0.711813	−	0.702369i	$-0.752126\pi$
$61$	−4.82679	−	13.2615i	−0.618007	−	1.69796i	0.0938065	−	0.995590i	$-0.470096\pi$
$62$	−1.53283	+	2.65494i	−0.194669	+	0.337177i
$63$	−6.36023	−	4.74841i	−0.801314	−	0.598244i
$64$	0.127580	+	0.220974i	0.0159475	+	0.0276218i
$65$	−0.0763111	+	0.0909440i	−0.00946522	+	0.0112802i
$66$	2.45421	+	1.83240i	0.302092	+	0.225553i
$67$	1.45474	+	8.25023i	0.177724	+	1.00793i	0.934952	+	0.354774i	$0.115442\pi$
$67$	1.45474	+	8.25023i	0.177724	+	1.00793i	−0.757227	+	0.653151i	$0.773447\pi$
$68$	−5.31043	−	1.93284i	−0.643984	−	0.234391i
$69$	1.62335	+	3.77778i	0.195428	+	0.454791i
$70$	−0.0928631	+	1.63462i	−0.0110993	+	0.195375i
$71$	−9.96202	+	5.75157i	−1.18227	+	0.682586i	−0.956540	−	0.291603i	$-0.905811\pi$
$71$	−9.96202	+	5.75157i	−1.18227	+	0.682586i	−0.225734	+	0.974189i	$0.572478\pi$
$72$	−2.15769	−	4.32628i	−0.254286	−	0.509857i
$73$	6.89023	−	3.97807i	0.806440	−	0.465598i	−0.0392780	−	0.999228i	$-0.512506\pi$
$73$	6.89023	−	3.97807i	0.806440	−	0.465598i	0.845718	+	0.533630i	$0.179172\pi$
$74$	6.93060	−	8.25957i	0.805666	−	0.960155i
$75$	8.43144	−	0.479307i	0.973578	−	0.0553456i
$76$	−0.205158	+	0.563667i	−0.0235332	+	0.0646571i
$77$	−2.59398	−	0.610873i	−0.295612	−	0.0696154i
$78$	−0.234794	−	0.996854i	−0.0265852	−	0.112871i
$79$	2.05871	−	11.6755i	0.231623	−	1.31360i	−0.617986	−	0.786189i	$-0.712051\pi$
$79$	2.05871	−	11.6755i	0.231623	−	1.31360i	0.849610	−	0.527412i	$-0.176838\pi$
$80$	−0.880037	+	1.52427i	−0.0983911	+	0.170418i
$81$	3.51868	+	8.28365i	0.390964	+	0.920406i
$82$	−17.5062	+	10.1072i	−1.93324	+	1.11616i
$83$	2.81649	+	2.36332i	0.309150	+	0.259408i	0.784141	−	0.620583i	$-0.213104\pi$
$83$	2.81649	+	2.36332i	0.309150	+	0.259408i	−0.474991	+	0.879991i	$0.657549\pi$
$84$	−3.79869	−	3.18724i	−0.414471	−	0.347756i
$85$	0.319671	+	1.81295i	0.0346732	+	0.196642i
$86$	10.6497	−	1.87782i	1.14838	−	0.202491i
$87$	1.69003	−	1.10818i	0.181190	−	0.118810i
$88$	−1.24343	−	1.04336i	−0.132550	−	0.111223i
$89$	3.99054			0.422997			0.211498	−	0.977378i	$-0.432166\pi$
$89$	3.99054			0.422997			0.211498	+	0.977378i	$0.432166\pi$
$90$	1.02446	−	1.54822i	0.107988	−	0.163196i
$91$	0.533144	+	0.714005i	0.0558887	+	0.0748481i
$92$	0.878576	+	2.41387i	0.0915979	+	0.251663i
$93$	−1.80952	+	2.42356i	−0.187638	+	0.251311i
$94$	9.54903	−	1.68375i	0.984907	−	0.173666i
$95$	0.192432	−	0.0339310i	0.0197431	−	0.00348125i
$96$	−3.79046	−	8.82101i	−0.386863	−	0.900290i
$97$	5.45431	+	14.9856i	0.553801	+	1.52156i	0.828480	+	0.560019i	$0.189206\pi$
$97$	5.45431	+	14.9856i	0.553801	+	1.52156i	−0.274679	+	0.961536i	$0.588571\pi$
$98$	11.7828	+	3.49090i	1.19025	+	0.352634i
$99$	2.19217	+	2.07976i	0.220321	+	0.209024i
$100$	5.27592			0.527592
$101$	−5.76945	−	4.84114i	−0.574082	−	0.481712i	0.308916	−	0.951089i	$-0.400034\pi$
$101$	−5.76945	−	4.84114i	−0.574082	−	0.481712i	−0.882998	+	0.469378i	$0.844478\pi$
$102$	−14.1816	−	7.14698i	−1.40419	−	0.707656i
$103$	0.677559	−	0.119472i	0.0667619	−	0.0117719i	−0.140167	−	0.990128i	$-0.544764\pi$
$103$	0.677559	−	0.119472i	0.0667619	−	0.0117719i	0.206929	+	0.978356i	$0.433653\pi$
$104$	0.0942483	+	0.534509i	0.00924181	+	0.0524129i
$105$	−0.280436	+	1.59078i	−0.0273678	+	0.155244i
$106$	5.64863	+	4.73976i	0.548643	+	0.460366i
$107$	11.1522	−	6.43871i	1.07812	−	0.622454i	0.147733	−	0.989027i	$-0.452803\pi$
$107$	11.1522	−	6.43871i	1.07812	−	0.622454i	0.930389	+	0.366574i	$0.119469\pi$
$108$	1.90098	+	5.29151i	0.182922	+	0.509176i
$109$	1.25012	−	2.16528i	0.119740	−	0.207396i	−0.799924	−	0.600101i	$-0.795127\pi$
$109$	1.25012	−	2.16528i	0.119740	−	0.207396i	0.919665	+	0.392705i	$0.128460\pi$
$110$	0.108237	−	0.613844i	0.0103200	−	0.0585277i
$111$	7.74764	−	7.28917i	0.735373	−	0.691858i
$112$	9.62223	+	9.05216i	0.909215	+	0.855349i
$113$	−1.54656	+	4.24914i	−0.145488	+	0.399726i	−0.990936	−	0.134332i	$-0.957111\pi$
$113$	−1.54656	+	4.24914i	−0.145488	+	0.399726i	0.845448	+	0.534058i	$0.179333\pi$
$114$	−0.758605	+	1.50528i	−0.0710498	+	0.140982i
$115$	0.537879	−	0.641020i	0.0501575	−	0.0597754i
$116$	1.09341	−	0.631280i	0.101521	−	0.0586129i
$117$	−0.114508	−	1.00389i	−0.0105863	−	0.0928101i
$118$	−20.1476	+	11.6322i	−1.85474	+	1.07083i
$119$	13.7955	+	0.783723i	1.26463	+	0.0718438i
$120$	−0.588622	+	0.788365i	−0.0537336	+	0.0719675i
$121$	−9.38325	−	3.41522i	−0.853022	−	0.310475i
$122$	−4.30227	−	24.3994i	−0.389510	−	2.20902i
$123$	−18.3234	+	7.87374i	−1.65217	+	0.709951i
$124$	−1.21458	+	1.44748i	−0.109073	+	0.129988i
$125$	−1.74055	−	3.01472i	−0.155679	−	0.269645i
$126$	−9.54871	−	10.1485i	−0.850667	−	0.904103i
$127$	−9.46933	+	16.4014i	−0.840267	+	1.45539i	0.0494015	+	0.998779i	$0.484269\pi$
$127$	−9.46933	+	16.4014i	−0.840267	+	1.45539i	−0.889669	+	0.456607i	$0.849065\pi$
$128$	3.94491	+	10.8386i	0.348684	+	0.958002i
$129$	10.6518	−	0.605529i	0.937839	−	0.0533139i
$130$	−0.159660	+	0.133970i	−0.0140031	+	0.0117500i
$131$	6.86346	−	5.75913i	0.599664	−	0.503178i	−0.291674	−	0.956518i	$-0.594212\pi$
$131$	6.86346	−	5.75913i	0.599664	−	0.503178i	0.891338	+	0.453340i	$0.149768\pi$
$132$	1.29358	+	1.37494i	0.112591	+	0.119673i
$133$	0.0831871	−	1.46430i	0.00721323	−	0.126971i
$134$			14.7074i			1.27053i
$135$	1.18317	−	1.39815i	0.101831	−	0.120334i
$136$	7.28866	+	4.20811i	0.624997	+	0.360842i
$137$	−6.52800	−	17.9355i	−0.557725	−	1.53234i	−0.822929	−	0.568144i	$-0.807662\pi$
$137$	−6.52800	−	17.9355i	−0.557725	−	1.53234i	0.265204	−	0.964192i	$-0.414561\pi$
$138$	1.65495	+	7.02633i	0.140879	+	0.598121i
$139$	5.33535	−	0.940766i	0.452538	−	0.0797947i	0.0572665	−	0.998359i	$-0.481762\pi$
$139$	5.33535	−	0.940766i	0.452538	−	0.0797947i	0.395272	+	0.918564i	$0.370650\pi$
$140$	−0.231321	+	0.982271i	−0.0195502	+	0.0830171i
$141$	9.55094	−	0.542948i	0.804334	−	0.0457245i
$142$	−18.9768	+	6.90701i	−1.59250	+	0.579623i
$143$	−0.169622	−	0.293794i	−0.0141845	−	0.0245683i
$144$	−4.25631	−	14.3624i	−0.354692	−	1.19687i
$145$	−0.356183	−	0.205642i	−0.0295793	−	0.0170776i
$146$	13.1253	−	4.77723i	1.08626	−	0.395366i
$147$	11.1398	+	4.78589i	0.918796	+	0.394733i
$148$	5.09087	−	4.27175i	0.418467	−	0.351136i
$149$	2.77285	−	7.61835i	0.227161	−	0.624120i	−0.772783	−	0.634670i	$-0.781136\pi$
$149$	2.77285	−	7.61835i	0.227161	−	0.624120i	0.999944	+	0.0105501i	$0.00335828\pi$
$150$	14.7233	+	1.74168i	1.20215	+	0.142207i
$151$	−1.97099	+	11.1780i	−0.160397	+	0.909656i	0.793287	+	0.608847i	$0.208368\pi$
$151$	−1.97099	+	11.1780i	−0.160397	+	0.909656i	−0.953684	+	0.300809i	$0.902743\pi$
$152$	0.446663	−	0.773643i	0.0362292	−	0.0627507i
$153$	−13.0663	−	8.64599i	−1.05635	−	0.698987i
$154$	−4.29854	−	1.84693i	−0.346386	−	0.148830i
$155$	0.606177	+	0.106885i	0.0486893	+	0.00858525i
$156$	−0.0358263	−	0.630217i	−0.00286840	−	0.0504578i
$157$	−6.57819	−	7.83958i	−0.524997	−	0.625667i	0.436758	−	0.899579i	$-0.356127\pi$
$157$	−6.57819	−	7.83958i	−0.524997	−	0.625667i	−0.961755	+	0.273912i	$0.911682\pi$
$158$	7.11867	−	19.5584i	0.566331	−	1.55598i
$159$	4.98499	+	5.29852i	0.395335	+	0.420200i
$160$	−1.25593	+	1.49676i	−0.0992902	+	0.118329i
$161$	−3.75787	−	5.03267i	−0.296162	−	0.396630i
$162$	3.55818	+	15.3944i	0.279557	+	1.20950i
$163$	7.70976	+	13.3537i	0.603875	+	1.04594i	0.992228	+	0.124431i	$0.0397106\pi$
$163$	7.70976	+	13.3537i	0.603875	+	1.04594i	−0.388353	+	0.921510i	$0.626956\pi$
$164$	−11.7080	+	4.26137i	−0.914242	+	0.332757i
$165$	0.177191	−	0.588878i	0.0137943	−	0.0458441i
$166$	4.14900	+	4.94458i	0.322025	+	0.383774i
$167$	2.06205	+	0.750523i	0.159566	+	0.0580773i	0.420568	−	0.907261i	$-0.361831\pi$
$167$	2.06205	+	0.750523i	0.159566	+	0.0580773i	−0.261002	+	0.965338i	$0.584053\pi$
$168$	4.74707	+	5.65691i	0.366245	+	0.436440i
$169$	2.23773	−	12.6908i	0.172133	−	0.976215i
$170$			3.23188i			0.247874i
$171$	−0.917716	+	1.38690i	−0.0701795	+	0.106059i
$172$	6.66530			0.508224
$173$	−9.56241	−	8.02381i	−0.727016	−	0.610039i	0.202300	−	0.979324i	$-0.435158\pi$
$173$	−9.56241	−	8.02381i	−0.727016	−	0.610039i	−0.929316	+	0.369284i	$0.879603\pi$
$174$	3.25974	−	1.40074i	0.247120	−	0.106190i
$175$	−12.3528	+	3.71742i	−0.933783	+	0.281010i
$176$	−3.23289	−	3.85281i	−0.243688	−	0.290416i
$177$	−21.0881	+	9.06174i	−1.58508	+	0.681122i
$178$	6.89930	+	1.21653i	0.517124	+	0.0911830i
$179$			13.3256i			0.996000i	0.867177	+	0.498000i	$0.165932\pi$
$179$			13.3256i			0.996000i	−0.867177	+	0.498000i	$0.834068\pi$
$180$	0.787550	−	0.830115i	0.0587005	−	0.0618732i
$181$	−17.6147	−	10.1698i	−1.30929	−	0.755918i	−0.327312	−	0.944916i	$-0.606143\pi$
$181$	−17.6147	−	10.1698i	−1.30929	−	0.755918i	−0.981977	+	0.188998i	$0.939476\pi$
$182$	0.704092	+	1.39698i	0.0521908	+	0.103551i
$183$	−1.38733	−	24.4043i	−0.102554	−	1.80402i
$184$	−0.664310	−	3.76749i	−0.0489736	−	0.277743i
$185$	−2.03430	−	0.740423i	−0.149564	−	0.0544370i
$186$	−3.86733	+	3.63848i	−0.283566	+	0.266786i
$187$	−5.18057	−	0.913474i	−0.378841	−	0.0667998i
$188$	5.97644			0.435877
$189$	−8.17927	−	11.0499i	−0.594955	−	0.803759i
$190$	0.343043			0.0248869
$191$	−22.4018	−	3.95004i	−1.62094	−	0.285815i	−0.711822	−	0.702360i	$-0.752130\pi$
$191$	−22.4018	−	3.95004i	−1.62094	−	0.285815i	−0.909115	+	0.416545i	$0.863241\pi$
$192$	0.101322	+	0.430177i	0.00731229	+	0.0310454i
$193$	−13.4458	−	4.89388i	−0.967851	−	0.352269i	−0.190746	−	0.981639i	$-0.561091\pi$
$193$	−13.4458	−	4.89388i	−0.967851	−	0.352269i	−0.777105	+	0.629370i	$0.783313\pi$
$194$	4.86160	+	27.5715i	0.349043	+	1.97952i
$195$	−0.171956	+	0.112755i	−0.0123140	+	0.00807455i
$196$	6.77851	+	3.38008i	0.484180	+	0.241434i
$197$	−18.0576	−	10.4256i	−1.28655	−	0.742791i	−0.308515	−	0.951220i	$-0.599832\pi$
$197$	−18.0576	−	10.4256i	−1.28655	−	0.742791i	−0.978038	+	0.208428i	$0.933165\pi$
$198$	3.15605	+	4.26402i	0.224290	+	0.303031i
$199$		−	10.3013i		−	0.730240i	−0.930961	−	0.365120i	$-0.881028\pi$
$199$		−	10.3013i		−	0.730240i	0.930961	−	0.365120i	$-0.118972\pi$
$200$	−7.73789	−	1.36440i	−0.547151	−	0.0964776i
$201$	−1.70459	+	14.4098i	−0.120232	+	1.01639i
$202$	−8.49903	−	10.1288i	−0.597990	−	0.712656i
$203$	−2.11526	+	2.24847i	−0.148462	+	0.157812i
$204$	−7.84323	−	5.85605i	−0.549136	−	0.410005i
$205$	3.10915	+	2.60888i	0.217152	+	0.182212i
$206$	1.20786			0.0841557
$207$	0.807111	+	7.07596i	0.0560981	+	0.491813i
$208$			1.68174i			0.116608i
$209$	−0.0969593	+	0.549883i	−0.00670681	+	0.0380362i
$210$	−0.969805	+	2.66483i	−0.0669229	+	0.183891i
$211$	−21.6090	−	7.86503i	−1.48762	−	0.541451i	−0.534801	−	0.844978i	$-0.679613\pi$
$211$	−21.6090	−	7.86503i	−1.48762	−	0.541451i	−0.952823	+	0.303527i	$0.901836\pi$
$212$	2.92140	+	3.48159i	0.200643	+	0.239117i
$213$	−19.3934	+	4.56782i	−1.32881	+	0.312982i
$214$	21.2440	−	7.73218i	1.45221	−	0.528561i
$215$	−1.08562	−	1.88036i	−0.0740389	−	0.128239i
$216$	−1.41963	−	8.25237i	−0.0965935	−	0.561503i
$217$	1.82387	−	4.24486i	0.123812	−	0.288160i
$218$	2.82145	−	3.36247i	0.191093	−	0.227735i
$219$	13.4134	−	3.15933i	0.906394	−	0.213488i
$220$	0.131399	−	0.361017i	0.00885894	−	0.0243397i
$221$	1.13065	+	1.34746i	0.0760558	+	0.0906398i
$222$	15.6171	−	10.2404i	1.04815	−	0.687294i
$223$	16.7430	+	2.95225i	1.12120	+	0.197697i	0.703366	−	0.710827i	$-0.251679\pi$
$223$	16.7430	+	2.95225i	1.12120	+	0.197697i	0.417831	+	0.908525i	$0.362790\pi$
$224$	8.77452	+	11.7511i	0.586272	+	0.785156i
$225$	14.2235	+	3.41286i	0.948236	+	0.227524i
$226$	−3.96924	+	6.87492i	−0.264030	+	0.457313i
$227$	−2.38659	+	13.5350i	−0.158404	+	0.898352i	0.797204	+	0.603710i	$0.206312\pi$
$227$	−2.38659	+	13.5350i	−0.158404	+	0.898352i	−0.955608	+	0.294642i	$0.904800\pi$
$228$	−0.621581	+	0.832508i	−0.0411652	+	0.0551342i
$229$	4.56384	−	12.5390i	0.301587	−	0.828603i	−0.692638	−	0.721285i	$-0.743552\pi$
$229$	4.56384	−	12.5390i	0.301587	−	0.828603i	0.994225	−	0.107317i	$-0.0342261\pi$
$230$	1.12536	−	0.944292i	0.0742043	−	0.0622648i
$231$	−3.99750	−	2.30776i	−0.263016	−	0.151839i
$232$	−1.76690	+	0.643098i	−0.116002	+	0.0422214i
$233$	9.91253	+	5.72300i	0.649391	+	0.374926i	0.788223	−	0.615390i	$-0.211001\pi$
$233$	9.91253	+	5.72300i	0.649391	+	0.374926i	−0.138832	+	0.990316i	$0.544335\pi$
$234$	0.108067	−	1.77055i	0.00706454	−	0.115745i
$235$	−0.973425	−	1.68602i	−0.0634992	−	0.109984i
$236$	−13.4745	+	4.90433i	−0.877118	+	0.319245i
$237$	9.24143	−	18.3375i	0.600295	−	1.19115i
$238$	23.6122	+	5.56059i	1.53055	+	0.360440i
$239$	23.1955	−	4.08999i	1.50039	−	0.264559i	0.637698	−	0.770287i	$-0.279887\pi$
$239$	23.1955	−	4.08999i	1.50039	−	0.264559i	0.862693	+	0.505728i	$0.168776\pi$
$240$	−2.22033	+	2.08895i	−0.143322	+	0.134841i
$241$	−0.783861	−	2.15364i	−0.0504929	−	0.138728i	0.911883	−	0.410451i	$-0.134629\pi$
$241$	−0.783861	−	2.15364i	−0.0504929	−	0.138728i	−0.962376	+	0.271723i	$0.912407\pi$
$242$	−15.1817	−	8.76514i	−0.975914	−	0.563444i
$243$	1.70197	+	15.4953i	0.109181	+	0.994022i
$244$		−	15.2708i		−	0.977615i
$245$	−0.150505	−	2.46283i	−0.00961540	−	0.157345i
$246$	−34.0799	+	8.02703i	−2.17286	+	0.511785i
$247$	0.143024	−	0.120011i	0.00910038	−	0.00763613i
$248$	2.15569	−	1.80884i	0.136886	−	0.114861i
$249$	3.49196	+	5.32540i	0.221294	+	0.337483i
$250$	−2.09021	−	5.74280i	−0.132196	−	0.363207i
$251$	−1.67631	+	2.90345i	−0.105807	+	0.183264i	−0.914068	−	0.405561i	$-0.867076\pi$
$251$	−1.67631	+	2.90345i	−0.105807	+	0.183264i	0.808260	+	0.588825i	$0.200409\pi$
$252$	−4.70984	−	7.18213i	−0.296692	−	0.452432i
$253$	1.19558	+	2.07081i	0.0751656	+	0.130191i
$254$	−21.3717	+	25.4698i	−1.34098	+	1.59811i
$255$	−0.374574	+	3.16648i	−0.0234568	+	0.198293i
$256$	3.42761	+	19.4390i	0.214226	+	1.21494i
$257$	−9.21288	−	3.35321i	−0.574684	−	0.209168i	0.0382960	−	0.999266i	$-0.487807\pi$
$257$	−9.21288	−	3.35321i	−0.574684	−	0.209168i	−0.612980	+	0.790099i	$0.710029\pi$
$258$	18.6006	+	2.20034i	1.15802	+	0.136987i
$259$	−8.90966	+	13.5887i	−0.553619	+	0.844362i
$260$	−0.111252	+	0.0642313i	−0.00689955	+	0.00398345i
$261$	3.35612	−	0.994590i	0.207739	−	0.0615636i
$262$	13.6220	−	7.86468i	0.841571	−	0.485881i
$263$	−0.215855	+	0.257246i	−0.0133102	+	0.0158625i	−0.772658	−	0.634822i	$-0.781073\pi$
$263$	−0.215855	+	0.257246i	−0.0133102	+	0.0158625i	0.759348	+	0.650684i	$0.225518\pi$
$264$	−1.54164	−	2.35107i	−0.0948815	−	0.144698i
$265$	0.506367	−	1.39123i	0.0311059	−	0.0854627i
$266$	0.590220	−	2.50628i	0.0361887	−	0.153670i
$267$	6.61869	+	1.99154i	0.405057	+	0.121880i
$268$	−1.57413	+	8.92735i	−0.0961554	+	0.545325i
$269$	−1.95505	+	3.38625i	−0.119202	+	0.206463i	−0.919452	−	0.393203i	$-0.871367\pi$
$269$	−1.95505	+	3.38625i	−0.119202	+	0.206463i	0.800250	+	0.599667i	$0.204700\pi$
$270$	2.47183	−	2.05659i	0.150431	−	0.125160i
$271$	9.90664	−	5.71960i	0.601785	−	0.347441i	−0.167958	−	0.985794i	$-0.553717\pi$
$271$	9.90664	−	5.71960i	0.601785	−	0.347441i	0.769744	+	0.638353i	$0.220384\pi$
$272$	19.9768	+	16.7625i	1.21127	+	1.01638i
$273$	0.527934	+	1.45032i	0.0319520	+	0.0877772i
$274$	−5.81862	−	32.9991i	−0.351516	−	1.99355i
$275$	4.83650	−	0.852806i	0.291652	−	0.0514262i
$276$	0.252522	+	4.44209i	0.0152001	+	0.267383i
$277$	16.5369	+	13.8761i	0.993606	+	0.833735i	0.986086	−	0.166237i	$-0.0531617\pi$
$277$	16.5369	+	13.8761i	0.993606	+	0.833735i	0.00752053	+	0.999972i	$0.497606\pi$
$278$	9.51114			0.570440
$279$	−4.21077	+	3.11663i	−0.252092	+	0.186588i
$280$	0.593289	−	1.38082i	0.0354558	−	0.0825197i
$281$	−5.27604	−	14.4958i	−0.314742	−	0.864746i	−0.991682	−	0.128709i	$-0.958917\pi$
$281$	−5.27604	−	14.4958i	−0.314742	−	0.864746i	0.676941	−	0.736038i	$-0.263305\pi$
$282$	16.6783	+	1.97293i	0.993176	+	0.117486i
$283$	5.94417	−	1.04812i	0.353344	−	0.0623041i	0.00584108	−	0.999983i	$-0.498141\pi$
$283$	5.94417	−	1.04812i	0.353344	−	0.0623041i	0.347503	+	0.937679i	$0.387030\pi$
$284$	−12.2581	+	2.16144i	−0.727387	+	0.128258i
$285$	0.336101	+	0.0397586i	0.0199089	+	0.00235510i
$286$	−0.203697	−	0.559654i	−0.0120449	−	0.0330930i
$287$	24.4100	−	18.2269i	1.44088	−	1.07590i
$288$	−1.88458	−	16.5222i	−0.111050	−	0.973577i
$289$	10.2756			0.604448
$290$	−0.553118	−	0.464121i	−0.0324802	−	0.0272541i
$291$	1.56769	+	27.5771i	0.0918996	+	1.61660i
$292$	8.47834	−	1.49496i	0.496157	−	0.0874859i
$293$	3.30078	+	18.7197i	0.192834	+	1.09361i	0.915470	+	0.402386i	$0.131819\pi$
$293$	3.30078	+	18.7197i	0.192834	+	1.09361i	−0.722636	+	0.691228i	$0.757070\pi$
$294$	17.8007	+	11.6704i	1.03816	+	0.680631i
$295$	3.57826	+	3.00252i	0.208334	+	0.174813i
$296$	−8.57121	+	4.94859i	−0.498191	+	0.287631i
$297$	2.59798	+	4.54352i	0.150750	+	0.263642i
$298$	7.11650	−	12.3261i	0.412248	−	0.714035i
$299$	0.138840	−	0.787401i	0.00802933	−	0.0455366i
$300$	8.75061	+	2.63303i	0.505217	+	0.152018i
$301$	−15.6058	+	4.69638i	−0.899505	+	0.270695i
$302$	−6.81534	+	18.7250i	−0.392179	+	1.07750i
$303$	−7.15313	−	10.9088i	−0.410936	−	0.626696i
$304$	1.77923	−	2.12041i	0.102046	−	0.121614i
$305$	−4.30808	+	2.48727i	−0.246680	+	0.142421i
$306$	−19.9547	−	18.9315i	−1.14073	−	1.08224i
$307$	11.6881	−	6.74813i	0.667076	−	0.385136i	−0.127892	−	0.991788i	$-0.540821\pi$
$307$	11.6881	−	6.74813i	0.667076	−	0.385136i	0.794968	+	0.606652i	$0.207488\pi$
$308$	−2.41152	−	1.58115i	−0.137409	−	0.0900946i
$309$	1.18342	+	0.139991i	0.0673224	+	0.00796381i
$310$	1.01544	+	0.369591i	0.0576733	+	0.0209914i
$311$	3.46830	+	19.6697i	0.196669	+	1.11537i	0.910022	+	0.414561i	$0.136065\pi$
$311$	3.46830	+	19.6697i	0.196669	+	1.11537i	−0.713352	+	0.700806i	$0.752824\pi$
$312$	−0.110435	+	0.933569i	−0.00625216	+	0.0528529i
$313$	15.5687	−	18.5541i	0.879996	−	1.04874i	−0.118448	−	0.992960i	$-0.537792\pi$
$313$	15.5687	−	18.5541i	0.879996	−	1.04874i	0.998443	−	0.0557776i	$-0.0177638\pi$
$314$	−8.98318	−	15.5593i	−0.506950	−	0.878064i
$315$	−1.25903	+	2.49850i	−0.0709385	+	0.140775i
$316$	6.41434	−	11.1100i	0.360835	−	0.624984i
$317$	6.11357	+	16.7969i	0.343373	+	0.943408i	0.984409	+	0.175897i	$0.0562827\pi$
$317$	6.11357	+	16.7969i	0.343373	+	0.943408i	−0.641036	+	0.767511i	$0.721495\pi$
$318$	7.00333	+	10.6804i	0.392727	+	0.598926i
$319$	0.900302	−	0.755443i	0.0504072	−	0.0422967i
$320$	0.0688988	−	0.0578130i	0.00385156	−	0.00323184i
$321$	21.7103	−	5.11354i	1.21175	−	0.285410i
$322$	−4.96280	−	9.84665i	−0.276566	−	0.548732i
$323$		−	2.89513i		−	0.161089i
$324$	0.512144	+	9.72518i	0.0284524	+	0.540288i
$325$	−1.42215	−	0.821079i	−0.0788868	−	0.0455453i
$326$	9.25857	+	25.4377i	0.512785	+	1.40886i
$327$	3.15407	−	2.96743i	0.174420	−	0.164099i
$328$	18.2735	−	3.22211i	1.00899	−	0.177911i
$329$	−13.9930	+	4.21101i	−0.771457	+	0.232160i
$330$	0.485870	−	0.964100i	0.0267463	−	0.0530720i
$331$	−7.47167	+	2.71947i	−0.410680	+	0.149475i	−0.539095	−	0.842245i	$-0.681233\pi$
$331$	−7.47167	+	2.71947i	−0.410680	+	0.149475i	0.128414	+	0.991721i	$0.459011\pi$
$332$	1.98921	+	3.44542i	0.109172	+	0.189092i
$333$	16.4880	−	8.22320i	0.903535	−	0.450629i
$334$	3.33630	+	1.92621i	0.182554	+	0.105398i
$335$	2.77489	−	1.00998i	0.151609	−	0.0551811i
$336$	11.4417	+	19.8160i	0.624198	+	1.08105i
$337$	−3.13485	+	2.63046i	−0.170766	+	0.143290i	−0.724166	−	0.689626i	$-0.757775\pi$
$337$	−3.13485	+	2.63046i	−0.170766	+	0.143290i	0.553399	+	0.832916i	$0.313330\pi$
$338$	7.73767	−	21.2591i	0.420874	−	1.15634i
$339$	−4.68572	+	6.27577i	−0.254493	+	0.340853i
$340$	−0.345908	+	1.96174i	−0.0187595	+	0.106390i
$341$	−0.879449	+	1.52325i	−0.0476248	+	0.0824886i
$342$	−2.00945	+	2.11806i	−0.108659	+	0.114531i
$343$	−18.2525	−	3.13782i	−0.985543	−	0.169426i
$344$	−9.77562	−	1.72370i	−0.527066	−	0.0929359i
$345$	1.21203	−	0.794754i	0.0652537	−	0.0427881i
$346$	−14.0865	−	16.7876i	−0.757294	−	0.902507i
$347$	4.11621	−	11.3092i	0.220970	−	0.607109i	−0.778828	−	0.627238i	$-0.784185\pi$
$347$	4.11621	−	11.3092i	0.220970	−	0.607109i	0.999797	+	0.0201286i	$0.00640755\pi$
$348$	2.12857	−	0.501355i	0.114103	−	0.0268754i
$349$	−5.51788	+	6.57596i	−0.295365	+	0.352003i	−0.893235	−	0.449591i	$-0.851570\pi$
$349$	−5.51788	+	6.57596i	−0.295365	+	0.352003i	0.597869	+	0.801594i	$0.296014\pi$
$350$	−22.4902	+	2.66129i	−1.20215	+	0.142252i
$351$	0.311087	−	1.72220i	0.0166046	−	0.0919242i
$352$	−2.79165	−	4.83528i	−0.148795	−	0.257721i
$353$	13.8371	−	5.03630i	0.736476	−	0.268055i	0.0535724	−	0.998564i	$-0.482939\pi$
$353$	13.8371	−	5.03630i	0.736476	−	0.268055i	0.682903	+	0.730509i	$0.260717\pi$
$354$	−39.2219	+	9.23816i	−2.08462	+	0.491003i
$355$	2.60634	+	3.10611i	0.138330	+	0.164855i
$356$	4.05765	+	1.47686i	0.215055	+	0.0782736i
$357$	22.4900	+	8.18472i	1.19029	+	0.433182i
$358$	−4.06235	+	23.0388i	−0.214702	+	1.21764i
$359$		−	10.8370i		−	0.571954i	−0.958236	−	0.285977i	$-0.907682\pi$
$359$		−	10.8370i		−	0.571954i	0.958236	−	0.285977i	$-0.0923181\pi$
$360$	−1.36973	+	1.01382i	−0.0721911	+	0.0534328i
$361$	18.6927			0.983826
$362$	−27.3539	−	22.9527i	−1.43769	−	1.20637i
$363$	−13.8586	−	10.3473i	−0.727386	−	0.543094i
$364$	0.277863	+	0.923323i	0.0145640	+	0.0483953i
$365$	−1.80267	−	2.14834i	−0.0943562	−	0.112449i
$366$	5.04118	−	42.6158i	0.263507	−	2.22756i
$367$	−30.0382	−	5.29655i	−1.56798	−	0.276478i	−0.678903	−	0.734228i	$-0.737544\pi$
$367$	−30.0382	−	5.29655i	−1.56798	−	0.276478i	−0.889081	+	0.457751i	$0.848655\pi$
$368$		−	11.8537i		−	0.617919i
$369$	−34.3206	+	3.91474i	−1.78666	+	0.203793i
$370$	−3.29140	−	1.90029i	−0.171112	−	0.0987913i
$371$	−9.29317	−	6.09322i	−0.482478	−	0.316344i
$372$	−2.73688	+	1.79463i	−0.141901	+	0.0930470i
$373$	5.56925	+	31.5848i	0.288365	+	1.63540i	0.693013	+	0.720925i	$0.256283\pi$
$373$	5.56925	+	31.5848i	0.288365	+	1.63540i	−0.404649	+	0.914472i	$0.632606\pi$
$374$	−8.67827	−	3.15863i	−0.448743	−	0.163329i
$375$	−1.38232	−	5.86885i	−0.0713828	−	0.303066i
$376$	−8.76531	−	1.54556i	−0.452036	−	0.0797062i
$377$	−0.392979			−0.0202394
$378$	−10.7726	−	21.5977i	−0.554085	−	1.11087i
$379$	3.24554			0.166712			0.0833561	−	0.996520i	$-0.473436\pi$
$379$	3.24554			0.166712			0.0833561	+	0.996520i	$0.473436\pi$
$380$	0.208226	+	0.0367158i	0.0106818	+	0.00188348i
$381$	−23.8911	+	22.4774i	−1.22398	+	1.15155i
$382$	−37.5265	−	13.6585i	−1.92002	−	0.698832i
$383$	5.53425	+	31.3863i	0.282787	+	1.60376i	0.713085	+	0.701077i	$0.247297\pi$
$383$	5.53425	+	31.3863i	0.282787	+	1.60376i	−0.430299	+	0.902687i	$0.641592\pi$
$384$	1.13386	+	19.9455i	0.0578618	+	1.01784i
$385$	−0.0532795	+	0.937852i	−0.00271538	+	0.0477974i
$386$	−21.7547	−	12.5601i	−1.10729	−	0.639292i
$387$	17.9692	+	4.31162i	0.913426	+	0.219172i
$388$			17.2562i			0.876049i
$389$	13.0170	+	2.29524i	0.659987	+	0.116374i	0.493603	−	0.869687i	$-0.335680\pi$
$389$	13.0170	+	2.29524i	0.659987	+	0.116374i	0.166384	+	0.986061i	$0.446791\pi$
$390$	−0.331671	+	0.142522i	−0.0167948	+	0.00721687i
$391$	−7.96940	−	9.49756i	−0.403030	−	0.480312i
$392$	−9.06754	−	6.71036i	−0.457980	−	0.338924i
$393$	14.2579	−	6.12674i	0.719215	−	0.309053i
$394$	−28.0418	−	23.5298i	−1.41272	−	1.18542i
$395$	−4.17899			−0.210268
$396$	1.45933	+	2.92604i	0.0733342	+	0.147039i
$397$			8.35393i			0.419272i	0.977780	+	0.209636i	$0.0672279\pi$
$397$			8.35393i			0.419272i	−0.977780	+	0.209636i	$0.932772\pi$
$398$	3.14039	−	17.8100i	0.157414	−	0.892737i
$399$	0.868755	−	2.38716i	0.0434921	−	0.119508i
$400$	−22.8777	−	8.32679i	−1.14388	−	0.416340i
$401$	−0.802776	−	0.956711i	−0.0400887	−	0.0477759i	0.745628	−	0.666363i	$-0.232150\pi$
$401$	−0.802776	−	0.956711i	−0.0400887	−	0.0477759i	−0.785716	+	0.618587i	$0.787705\pi$
$402$	−7.33996	+	24.3936i	−0.366084	+	1.21664i
$403$	0.552664	−	0.201153i	0.0275302	−	0.0100202i
$404$	−4.07481	−	7.05777i	−0.202729	−	0.351137i
$405$	2.66017	−	1.72849i	0.132185	−	0.0858893i
$406$	−4.34255	+	3.24256i	−0.215517	+	0.160926i
$407$	3.97638	−	4.73887i	0.197102	−	0.234897i
$408$	9.98880	+	10.6171i	0.494519	+	0.525623i
$409$	−9.83425	+	27.0194i	−0.486272	+	1.33602i	0.417760	+	0.908557i	$0.362815\pi$
$409$	−9.83425	+	27.0194i	−0.486272	+	1.33602i	−0.904032	+	0.427464i	$0.859407\pi$
$410$	4.58011	+	5.45837i	0.226196	+	0.269569i
$411$	−1.87629	−	33.0057i	−0.0925507	−	1.62805i
$412$	0.733169	+	0.129277i	0.0361206	+	0.00636904i
$413$	28.0931	−	20.9769i	1.38237	−	1.03221i
$414$	−0.761710	+	12.4798i	−0.0374360	+	0.613347i
$415$	0.647994	−	1.12236i	0.0318088	−	0.0550944i
$416$	−0.324188	+	1.83856i	−0.0158946	+	0.0901428i
$417$	9.31868	+	1.10234i	0.456338	+	0.0539818i
$418$	−0.335268	+	0.921141i	−0.0163985	+	0.0450545i
$419$	−17.9352	+	15.0494i	−0.876194	+	0.735214i	−0.965393	−	0.260800i	$-0.916014\pi$
$419$	−17.9352	+	15.0494i	−0.876194	+	0.735214i	0.0891993	+	0.996014i	$0.471569\pi$
$420$	−0.873885	+	1.51374i	−0.0426412	+	0.0738632i
$421$	19.5384	−	7.11141i	0.952246	−	0.346589i	0.181255	−	0.983436i	$-0.441984\pi$
$421$	19.5384	−	7.11141i	0.952246	−	0.346589i	0.770990	+	0.636847i	$0.219762\pi$
$422$	−34.9623	−	20.1855i	−1.70194	−	0.982616i
$423$	16.1121	+	3.86602i	0.783397	+	0.187972i
$424$	−3.38429	−	5.86176i	−0.164355	−	0.284672i
$425$	−23.9285	+	8.70924i	−1.16070	+	0.422460i
$426$	−34.9219	+	1.98523i	−1.69197	+	0.0961846i
$427$	10.7599	+	35.7544i	0.520706	+	1.73028i
$428$	13.7226	−	2.41967i	0.663308	−	0.116959i
$429$	−0.134712	−	0.571937i	−0.00650394	−	0.0276134i
$430$	−1.30371	−	3.58193i	−0.0628707	−	0.172736i
$431$	6.13033	+	3.53935i	0.295288	+	0.170484i	0.640324	−	0.768105i	$-0.278800\pi$
$431$	6.13033	+	3.53935i	0.295288	+	0.170484i	−0.345036	+	0.938589i	$0.612133\pi$
$432$	0.108284	−	25.9455i	0.00520980	−	1.24831i
$433$		−	27.8368i		−	1.33775i	−0.743374	−	0.668876i	$-0.766776\pi$
$433$		−	27.8368i		−	1.33775i	0.743374	−	0.668876i	$-0.233224\pi$
$434$	4.44736	−	6.78297i	0.213480	−	0.325593i
$435$	−0.488133	−	0.518835i	−0.0234042	−	0.0248762i
$436$	2.07250	−	1.73903i	0.0992546	−	0.0832845i
$437$	−1.00810	+	0.845900i	−0.0482242	+	0.0404649i
$438$	24.1537	−	1.37308i	1.15411	−	0.0656084i
$439$	2.08561	+	5.73016i	0.0995406	+	0.273486i	0.979460	−	0.201637i	$-0.0646260\pi$
$439$	2.08561	+	5.73016i	0.0995406	+	0.273486i	−0.879920	+	0.475122i	$0.842404\pi$
$440$	−0.286078	+	0.495502i	−0.0136382	+	0.0236221i
$441$	16.0879	+	13.4973i	0.766092	+	0.642730i
$442$	1.54402	+	2.67432i	0.0734415	+	0.127204i
$443$	5.75422	−	6.85761i	0.273391	−	0.325815i	−0.611826	−	0.790992i	$-0.709565\pi$
$443$	5.75422	−	6.85761i	0.273391	−	0.325815i	0.885218	+	0.465177i	$0.154009\pi$
$444$	10.5756	−	4.54442i	0.501895	−	0.215669i
$445$	−0.244258	−	1.38525i	−0.0115789	−	0.0656674i
$446$	28.0473	+	10.2084i	1.32808	+	0.483380i
$447$	8.40110	−	11.2519i	0.397358	−	0.532197i
$448$	−0.303840	−	0.602847i	−0.0143551	−	0.0284819i
$449$	13.4361	−	7.75732i	0.634087	−	0.366090i	−0.148246	−	0.988951i	$-0.547363\pi$
$449$	13.4361	−	7.75732i	0.634087	−	0.366090i	0.782333	+	0.622860i	$0.214029\pi$
$450$	23.5508	+	10.2366i	1.11020	+	0.482560i
$451$	−10.0441	+	5.79895i	−0.472957	+	0.273062i
$452$	−3.14514	+	3.74823i	−0.147935	+	0.176302i
$453$	−8.84765	+	17.5562i	−0.415699	+	0.824861i
$454$	−8.25242	+	22.6733i	−0.387305	+	1.06411i
$455$	0.215222	−	0.228776i	0.0100898	−	0.0107252i
$456$	1.12693	−	1.06025i	0.0527734	−	0.0496505i
$457$	−5.85428	+	33.2012i	−0.273851	+	1.55309i	0.468735	+	0.883339i	$0.344710\pi$
$457$	−5.85428	+	33.2012i	−0.273851	+	1.55309i	−0.742587	+	0.669750i	$0.766401\pi$
$458$	11.7130	−	20.2876i	0.547315	−	0.947977i
$459$	−17.3567	−	20.8611i	−0.810142	−	0.973714i
$460$	0.784160	−	0.452735i	0.0365616	−	0.0211089i
$461$	6.66457	+	5.59224i	0.310400	+	0.260457i	0.784657	−	0.619930i	$-0.212839\pi$
$461$	6.66457	+	5.59224i	0.310400	+	0.260457i	−0.474257	+	0.880386i	$0.657283\pi$
$462$	−6.20779	−	5.20856i	−0.288813	−	0.242324i
$463$	0.286128	+	1.62271i	0.0132975	+	0.0754139i	0.990734	−	0.135814i	$-0.0433649\pi$
$463$	0.286128	+	1.62271i	0.0132975	+	0.0754139i	−0.977437	+	0.211228i	$0.932254\pi$
$464$	−5.73762	+	1.01170i	−0.266362	+	0.0469669i
$465$	0.952059	+	0.479802i	0.0441507	+	0.0222503i
$466$	15.3932	+	12.9164i	0.713077	+	0.598342i
$467$	19.2441			0.890513			0.445256	−	0.895403i	$-0.353113\pi$
$467$	19.2441			0.890513			0.445256	+	0.895403i	$0.353113\pi$
$468$	0.255098	−	1.06315i	0.0117919	−	0.0491443i
$469$	−2.60462	−	22.0112i	−0.120270	−	1.01638i
$470$	−1.16898	−	3.21174i	−0.0539208	−	0.148146i
$471$	−6.99808	−	16.2856i	−0.322454	−	0.750402i
$472$	21.0306	−	3.70827i	0.968014	−	0.170687i
$473$	6.11017	−	1.07739i	0.280946	−	0.0495383i
$474$	21.5679	−	28.8867i	0.990646	−	1.32681i
$475$	0.924429	+	2.53985i	0.0424157	+	0.116536i
$476$	13.7374	+	5.90248i	0.629653	+	0.270540i
$477$	5.62376	+	11.2759i	0.257494	+	0.516290i
$478$	41.3498			1.89130
$479$	1.74613	+	1.46518i	0.0797829	+	0.0669458i	0.681807	−	0.731532i	$-0.261194\pi$
$479$	1.74613	+	1.46518i	0.0797829	+	0.0669458i	−0.602024	+	0.798478i	$0.705639\pi$
$480$	−2.83006	+	1.85573i	−0.129174	+	0.0847020i
$481$	−2.03707	+	0.359191i	−0.0928826	+	0.0163777i
$482$	−0.698682	−	3.96242i	−0.0318241	−	0.180483i
$483$	−3.72115	−	10.2226i	−0.169318	−	0.465144i
$484$	−8.27709	−	6.94531i	−0.376231	−	0.315696i
$485$	4.86816	−	2.81063i	0.221052	−	0.127624i
$486$	−1.78124	+	27.3088i	−0.0807985	+	1.23875i
$487$	−2.87457	+	4.97890i	−0.130259	+	0.225615i	−0.923776	−	0.382932i	$-0.874914\pi$
$487$	−2.87457	+	4.97890i	−0.130259	+	0.225615i	0.793517	+	0.608548i	$0.208248\pi$
$488$	−3.94917	+	22.3969i	−0.178771	+	1.01386i
$489$	6.12299	+	25.9960i	0.276891	+	1.17558i
$490$	0.490594	−	4.30390i	0.0221628	−	0.194431i
$491$	10.3834	−	28.5281i	0.468596	−	1.28746i	−0.450272	−	0.892892i	$-0.648673\pi$
$491$	10.3834	−	28.5281i	0.468596	−	1.28746i	0.918868	−	0.394566i	$-0.129105\pi$
$492$	−21.5455	+	1.22481i	−0.971348	+	0.0552188i
$493$	−3.91697	+	4.66807i	−0.176412	+	0.210239i
$494$	0.283861	−	0.163887i	0.0127715	−	0.00737364i
$495$	0.587777	−	0.888278i	0.0264186	−	0.0399251i
$496$	7.55122	−	4.35970i	0.339060	−	0.195756i
$497$	27.1777	−	13.6978i	1.21909	−	0.614430i
$498$	4.41383	+	10.2717i	0.197789	+	0.460285i
$499$	8.75777	+	3.18757i	0.392052	+	0.142695i	0.530522	−	0.847671i	$-0.321996\pi$
$499$	8.75777	+	3.18757i	0.392052	+	0.142695i	−0.138470	+	0.990367i	$0.544218\pi$
$500$	−0.654099	−	3.70958i	−0.0292522	−	0.165897i
$501$	3.04554	+	2.27391i	0.136065	+	0.101591i
$502$	−3.78331	+	4.50877i	−0.168857	+	0.201236i
$503$	−10.1934	−	17.6555i	−0.454501	−	0.787219i	0.544158	−	0.838983i	$-0.316849\pi$
$503$	−10.1934	−	17.6555i	−0.454501	−	0.787219i	−0.998659	+	0.0517635i	$0.983516\pi$
$504$	5.05030	+	11.7516i	0.224958	+	0.523459i
$505$	−1.32738	+	2.29910i	−0.0590678	+	0.102308i
$506$	1.43576	+	3.94473i	0.0638275	+	0.175364i
$507$	10.0450	−	19.9321i	0.446115	−	0.885215i
$508$	−15.6986	+	13.1727i	−0.696511	+	0.584442i
$509$	−21.8187	+	18.3080i	−0.967096	+	0.811489i	−0.982093	−	0.188398i	$-0.939670\pi$
$509$	−21.8187	+	18.3080i	−0.967096	+	0.811489i	0.0149972	+	0.999888i	$0.495226\pi$
$510$	−1.61292	+	5.36037i	−0.0714213	+	0.237361i
$511$	−18.7974	+	9.47408i	−0.831550	+	0.419109i
$512$			11.5849i			0.511984i
$513$	−2.21427	+	1.84230i	−0.0977624	+	0.0813396i
$514$	−14.9060	−	8.60600i	−0.657476	−	0.379594i
$515$	−0.0829457	−	0.227891i	−0.00365502	−	0.0100421i
$516$	11.0550	+	3.32642i	0.486670	+	0.146438i
$517$	5.47868	−	0.966040i	0.240952	−	0.0424864i
$518$	−19.5466	+	20.7776i	−0.858828	+	0.912913i
$519$	−11.8557	−	18.0805i	−0.520409	−	0.793647i
$520$	0.179778	−	0.0654337i	0.00788377	−	0.00286946i
$521$	3.14855	+	5.45344i	0.137940	+	0.238920i	0.926717	−	0.375760i	$-0.122618\pi$
$521$	3.14855	+	5.45344i	0.137940	+	0.238920i	−0.788776	+	0.614680i	$0.789285\pi$
$522$	6.10564	−	0.696433i	0.267237	−	0.0304820i
$523$	−1.26823	−	0.732214i	−0.0554559	−	0.0320175i	0.472016	−	0.881590i	$-0.343527\pi$
$523$	−1.26823	−	0.732214i	−0.0554559	−	0.0320175i	−0.527472	+	0.849573i	$0.676860\pi$
$524$	9.11028	−	3.31587i	0.397985	−	0.144855i
$525$	−22.3435		0.000833624i	−0.975150		3.63823e-5i
$526$	−0.451618	+	0.378952i	−0.0196915	+	0.0165231i
$527$	3.11918	−	8.56989i	0.135874	−	0.373310i
$528$	−3.43925	−	8.00366i	−0.149674	−	0.348315i
$529$	3.01529	−	17.1006i	0.131100	−	0.743503i
$530$	1.29959	−	2.25095i	0.0564504	−	0.0977750i
$531$	−39.4990	+	4.50540i	−1.71411	+	0.195518i
$532$	0.626509	−	1.45814i	0.0271626	−	0.0632182i
$533$	3.81914	+	0.673418i	0.165425	+	0.0291690i
$534$	10.8360	+	5.46094i	0.468920	+	0.236318i
$535$	−2.91771	−	3.47720i	−0.126144	−	0.150332i
$536$	4.61738	−	12.6862i	0.199440	−	0.547958i
$537$	−6.65034	+	22.1017i	−0.286983	+	0.953760i
$538$	−4.41243	+	5.25853i	−0.190233	+	0.226711i
$539$	6.76032	+	2.00288i	0.291187	+	0.0862701i
$540$	1.72051	−	0.983785i	0.0740389	−	0.0423354i
$541$	18.0276	+	31.2248i	0.775068	+	1.34246i	0.934756	+	0.355290i	$0.115618\pi$
$541$	18.0276	+	31.2248i	0.775068	+	1.34246i	−0.159688	+	0.987168i	$0.551049\pi$
$542$	18.8713	−	6.86861i	0.810594	−	0.295032i
$543$	−24.1402	−	25.6585i	−1.03595	−	1.10111i
$544$	18.6083	+	22.1765i	0.797825	+	0.950811i
$545$	−0.828162	−	0.301426i	−0.0354746	−	0.0129117i
$546$	0.470616	+	2.66842i	0.0201405	+	0.114198i
$547$	−4.12524	+	23.3954i	−0.176383	+	1.00032i	0.760153	+	0.649744i	$0.225124\pi$
$547$	−4.12524	+	23.3954i	−0.176383	+	1.00032i	−0.936536	+	0.350572i	$0.885987\pi$
$548$		−	20.6531i		−	0.882256i
$549$	9.87834	−	41.1692i	0.421597	−	1.75706i
$550$	8.62187			0.367638
$551$	0.495484	+	0.415761i	0.0211083	+	0.0177120i
$552$	0.778404	−	6.58027i	0.0331311	−	0.280075i
$553$	−7.19015	+	30.5319i	−0.305756	+	1.29835i
$554$	24.3607	+	29.0319i	1.03499	+	1.23345i
$555$	−3.00455	−	2.24331i	−0.127536	−	0.0952231i
$556$	5.77324	+	1.01798i	0.244840	+	0.0431718i
$557$			30.4386i			1.28973i	0.764298	+	0.644863i	$0.223086\pi$
$557$			30.4386i			1.28973i	−0.764298	+	0.644863i	$0.776914\pi$
$558$	−8.23016	+	4.10471i	−0.348411	+	0.173766i
$559$	−1.79667	−	1.03731i	−0.0759909	−	0.0438734i
$560$	2.55335	−	3.89428i	0.107899	−	0.164563i
$561$	−8.13657	−	4.10053i	−0.343526	−	0.173124i
$562$	−4.70271	−	26.6704i	−0.198372	−	1.12502i
$563$	42.5760	+	15.4964i	1.79436	+	0.653095i	0.998890	+	0.0471073i	$0.0150003\pi$
$563$	42.5760	+	15.4964i	1.79436	+	0.653095i	0.795474	+	0.605988i	$0.207222\pi$
$564$	9.91249	+	2.98264i	0.417391	+	0.125592i
$565$	1.56969	+	0.276778i	0.0660373	+	0.0116442i
$566$	10.5965			0.445403
$567$	−8.05148	−	22.4092i	−0.338131	−	0.941099i
$568$	18.5373			0.777807
$569$	−30.0751	−	5.30306i	−1.26082	−	0.222316i	−0.497000	−	0.867751i	$-0.665565\pi$
$569$	−30.0751	−	5.30306i	−1.26082	−	0.222316i	−0.763815	+	0.645435i	$0.776676\pi$
$570$	0.568968	+	0.171201i	0.0238315	+	0.00717081i
$571$	−25.2313	−	9.18343i	−1.05590	−	0.384315i	−0.245011	−	0.969520i	$-0.578792\pi$
$571$	−25.2313	−	9.18343i	−1.05590	−	0.384315i	−0.810885	+	0.585206i	$0.801014\pi$
$572$	−0.0637440	−	0.361510i	−0.00266527	−	0.0151155i
$573$	−35.1841	−	17.7315i	−1.46984	−	0.740743i
$574$	47.7593	−	24.0711i	1.99344	−	1.00471i
$575$	10.0240	+	5.78739i	0.418032	+	0.241351i
$576$	−0.0466346	+	0.764056i	−0.00194311	+	0.0318357i
$577$		−	41.1612i		−	1.71356i	−0.515679	−	0.856782i	$-0.672460\pi$
$577$		−	41.1612i		−	1.71356i	0.515679	−	0.856782i	$-0.327540\pi$
$578$	17.7656	+	3.13256i	0.738953	+	0.130297i
$579$	−19.8588	−	14.8273i	−0.825303	−	0.616202i
$580$	−0.286066	−	0.340920i	−0.0118782	−	0.0141559i
$581$	−7.08509	−	6.66533i	−0.293939	−	0.276525i
$582$	−5.69657	+	48.1562i	−0.236131	+	1.99614i
$583$	3.24086	+	2.71940i	0.134223	+	0.112626i
$584$	−12.8213			−0.530550
$585$	−0.341477	+	0.101197i	−0.0141184	+	0.00418399i
$586$			33.3709i			1.37854i
$587$	−3.64875	+	20.6931i	−0.150600	+	0.854096i	0.812099	+	0.583520i	$0.198325\pi$
$587$	−3.64875	+	20.6931i	−0.150600	+	0.854096i	−0.962699	+	0.270575i	$0.912786\pi$
$588$	9.55592	+	8.98911i	0.394080	+	0.370705i
$589$	−0.909637	−	0.331081i	−0.0374810	−	0.0136420i
$590$	5.27117	+	6.28193i	0.217010	+	0.258623i
$591$	−24.7472	−	26.3037i	−1.01796	−	1.08199i
$592$	−28.8172	+	10.4886i	−1.18438	+	0.431079i
$593$	−2.06936	−	3.58423i	−0.0849783	−	0.147187i	0.820404	−	0.571785i	$-0.193749\pi$
$593$	−2.06936	−	3.58423i	−0.0849783	−	0.147187i	−0.905382	+	0.424598i	$0.860415\pi$
$594$	3.10657	+	8.64735i	0.127464	+	0.354805i
$595$	−0.572352	−	4.83686i	−0.0234642	−	0.198292i
$596$	5.63896	−	6.72026i	0.230981	−	0.275272i
$597$	5.14102	−	17.0857i	0.210408	−	0.699270i
$598$	0.480085	−	1.31902i	0.0196321	−	0.0539388i
$599$	−4.25619	−	5.07233i	−0.173903	−	0.207250i	0.672052	−	0.740504i	$-0.265413\pi$
$599$	−4.25619	−	5.07233i	−0.173903	−	0.207250i	−0.845955	+	0.533254i	$0.820969\pi$
$600$	−12.1531	−	6.12470i	−0.496148	−	0.250040i
$601$	31.9246	+	5.62916i	1.30223	+	0.229618i	0.781394	−	0.624038i	$-0.214509\pi$
$601$	31.9246	+	5.62916i	1.30223	+	0.229618i	0.520836	+	0.853657i	$0.325620\pi$
$602$	−28.4128	+	3.36213i	−1.15802	+	0.137030i
$603$	−10.0186	+	23.0493i	−0.407991	+	0.938639i
$604$	−6.14103	+	10.6366i	−0.249875	+	0.432796i
$605$	−0.611201	+	3.46629i	−0.0248488	+	0.140925i
$606$	−9.04153	−	21.0411i	−0.367287	−	0.854735i
$607$	8.65290	−	23.7736i	0.351210	−	0.964943i	−0.630772	−	0.775968i	$-0.717262\pi$
$607$	8.65290	−	23.7736i	0.351210	−	0.964943i	0.981982	−	0.188974i	$-0.0605162\pi$
$608$	2.35389	−	1.97515i	0.0954630	−	0.0801030i
$609$	−4.63049	+	2.67364i	−0.187637	+	0.108341i
$610$	−8.20654	+	2.98694i	−0.332273	+	0.120937i
$611$	−1.61098	−	0.930101i	−0.0651733	−	0.0376278i
$612$	−10.0862	−	13.6271i	−0.407710	−	0.550843i
$613$	−11.2436	−	19.4745i	−0.454126	−	0.786570i	0.544511	−	0.838753i	$-0.316715\pi$
$613$	−11.2436	−	19.4745i	−0.454126	−	0.786570i	−0.998637	+	0.0521839i	$0.983382\pi$
$614$	22.2649	−	8.10376i	0.898539	−	0.327041i
$615$	3.85481	+	5.87875i	0.155441	+	0.237054i
$616$	3.12795	+	2.94263i	0.126029	+	0.118562i
$617$	−34.4853	+	6.08069i	−1.38833	+	0.244799i	−0.817337	−	0.576159i	$-0.804551\pi$
$617$	−34.4853	+	6.08069i	−1.38833	+	0.244799i	−0.570988	+	0.820958i	$0.693440\pi$
$618$	2.00335	+	0.602802i	0.0805867	+	0.0242483i
$619$	0.0108626	+	0.0298448i	0.000436606	+	0.00119956i	0.939911	−	0.341420i	$-0.110908\pi$
$619$	0.0108626	+	0.0298448i	0.000436606	+	0.00119956i	−0.939474	+	0.342620i	$0.888686\pi$
$620$	0.576814	+	0.333024i	0.0231654	+	0.0133745i
$621$	−2.19270	+	12.1389i	−0.0879900	+	0.487119i
$622$			35.0645i			1.40596i
$623$	−10.5410	−	0.598835i	−0.422316	−	0.0239918i
$624$	−0.839297	+	2.78932i	−0.0335988	+	0.111662i
$625$	17.7352	−	14.8816i	0.709409	−	0.595265i
$626$	32.5732	−	27.3322i	1.30189	−	1.09241i
$627$	−0.435244	+	0.863644i	−0.0173820	+	0.0344906i
$628$	−3.78745	−	10.4059i	−0.151136	−	0.415242i
$629$	−16.0376	+	27.7779i	−0.639461	+	1.10758i
$630$	−2.93844	+	3.93587i	−0.117070	+	0.156809i
$631$	12.1382	+	21.0239i	0.483213	+	0.836949i	0.999814	−	0.0192769i	$-0.00613639\pi$
$631$	12.1382	+	21.0239i	0.483213	+	0.836949i	−0.516601	+	0.856226i	$0.672803\pi$
$632$	−12.2807	+	14.6356i	−0.488499	+	0.582171i
$633$	−31.9154	−	23.8292i	−1.26852	−	0.947125i
$634$	5.44923	+	30.9041i	0.216417	+	1.22736i
$635$	6.27309	+	2.28322i	0.248940	+	0.0906067i
$636$	3.10788	+	7.23252i	0.123235	+	0.286788i
$637$	−1.30115	−	1.96604i	−0.0515534	−	0.0778975i
$638$	1.78684	−	1.03163i	0.0707418	−	0.0408428i
$639$	−34.4453	−	2.10239i	−1.36264	−	0.0831693i
$640$	3.52097	−	2.03283i	0.139179	−	0.0803548i
$641$	10.9365	−	13.0336i	0.431965	−	0.514796i	−0.505523	−	0.862813i	$-0.668700\pi$
$641$	10.9365	−	13.0336i	0.431965	−	0.514796i	0.937488	+	0.348017i	$0.113145\pi$
$642$	39.0940	−	2.22240i	1.54292	−	0.0877112i
$643$	−4.55599	+	12.5175i	−0.179671	+	0.493641i	−0.996534	−	0.0831906i	$-0.973489\pi$
$643$	−4.55599	+	12.5175i	−0.179671	+	0.493641i	0.816863	+	0.576832i	$0.195711\pi$
$644$	−1.95852	−	6.50805i	−0.0771764	−	0.256453i
$645$	−0.862188	−	3.66054i	−0.0339486	−	0.144134i
$646$	0.882591	−	5.00542i	0.0347251	−	0.196936i
$647$	14.3125	−	24.7899i	0.562681	−	0.974593i	−0.434580	−	0.900633i	$-0.643103\pi$
$647$	14.3125	−	24.7899i	0.562681	−	0.974593i	0.997261	−	0.0739595i	$-0.0235635\pi$
$648$	1.76389	−	14.3958i	0.0692920	−	0.565521i
$649$	−11.5595	+	6.67391i	−0.453752	+	0.261974i
$650$	−2.20847	−	1.85312i	−0.0866231	−	0.0726854i
$651$	5.14351	−	6.13027i	0.201590	−	0.240264i
$652$	2.89733	+	16.4316i	0.113468	+	0.643509i
$653$	13.7897	−	2.43150i	0.539634	−	0.0951520i	0.102813	−	0.994701i	$-0.467216\pi$
$653$	13.7897	−	2.43150i	0.539634	−	0.0951520i	0.436821	+	0.899549i	$0.356104\pi$
$654$	6.35773	−	4.16889i	0.248607	−	0.163016i
$655$	−2.41930	−	2.03003i	−0.0945299	−	0.0793200i
$656$	57.4944			2.24478
$657$	23.8241	+	1.45412i	0.929467	+	0.0567306i
$658$	−25.4764	+	3.01465i	−0.993172	+	0.117523i
$659$	13.4707	+	37.0105i	0.524745	+	1.44173i	0.865182	+	0.501458i	$0.167203\pi$
$659$	13.4707	+	37.0105i	0.524745	+	1.44173i	−0.340437	+	0.940267i	$0.610575\pi$
$660$	0.398109	−	0.533203i	0.0154964	−	0.0207549i
$661$	26.2416	−	4.62710i	1.02068	−	0.179973i	0.361827	−	0.932245i	$-0.382153\pi$
$661$	26.2416	−	4.62710i	1.02068	−	0.179973i	0.658852	+	0.752272i	$0.271042\pi$
$662$	−13.7469	+	2.42395i	−0.534288	+	0.0942095i
$663$	1.20282	+	2.79915i	0.0467137	+	0.108710i
$664$	−2.02645	−	5.56762i	−0.0786415	−	0.216066i
$665$	−0.513400	+	0.0607514i	−0.0199088	+	0.00235584i
$666$	31.0131	−	9.19077i	1.20173	−	0.356135i
$667$	2.76992			0.107252
$668$	1.81896	+	1.52629i	0.0703777	+	0.0590539i
$669$	26.2965	+	13.2525i	1.01668	+	0.512370i
$670$	5.10545	−	0.900228i	0.197241	−	0.0347788i
$671$	−2.46840	−	13.9990i	−0.0952915	−	0.540425i
$672$	8.68877	+	23.8694i	0.335177	+	0.920783i
$673$	15.2986	+	12.8371i	0.589718	+	0.494832i	0.888122	−	0.459608i	$-0.152010\pi$
$673$	15.2986	+	12.8371i	0.589718	+	0.494832i	−0.298404	+	0.954440i	$0.596454\pi$
$674$	−6.22179	+	3.59215i	−0.239654	+	0.138365i
$675$	21.8878	+	12.7590i	0.842463	+	0.491095i
$676$	6.97210	−	12.0760i	0.268158	−	0.464463i
$677$	2.13401	−	12.1026i	0.0820168	−	0.465140i	−0.915944	−	0.401307i	$-0.868556\pi$
$677$	2.13401	−	12.1026i	0.0820168	−	0.465140i	0.997961	−	0.0638337i	$-0.0203327\pi$
$678$	−10.0144	+	9.42179i	−0.384600	+	0.361842i
$679$	−12.1587	−	40.4028i	−0.466609	−	1.55052i
$680$	1.01465	−	2.78772i	0.0389099	−	0.106904i
$681$	−10.7133	+	21.2581i	−0.410533	+	0.814611i
$682$	−1.98486	+	2.36546i	−0.0760042	+	0.0905783i
$683$	−36.4854	+	21.0649i	−1.39608	+	0.806024i	−0.993979	−	0.109573i	$-0.965052\pi$
$683$	−36.4854	+	21.0649i	−1.39608	+	0.806024i	−0.402096	+	0.915597i	$0.631718\pi$
$684$	−1.44643	+	1.07058i	−0.0553055	+	0.0409347i
$685$	−5.82647	+	3.36391i	−0.222618	+	0.128529i
$686$	−30.6004	−	10.9894i	−1.16833	−	0.419576i
$687$	13.8274	−	18.5195i	0.527546	−	0.706563i
$688$	−28.9024	−	10.5196i	−1.10189	−	0.401056i
$689$	−0.245647	−	1.39313i	−0.00935841	−	0.0530742i
$690$	2.33778	−	1.00457i	0.0889979	−	0.0382432i
$691$	17.1500	−	20.4386i	0.652417	−	0.777520i	−0.333859	−	0.942623i	$-0.608351\pi$
$691$	17.1500	−	20.4386i	0.652417	−	0.777520i	0.986276	+	0.165103i	$0.0527955\pi$
$692$	−6.75367	−	11.6977i	−0.256736	−	0.444680i
$693$	−5.47850	−	5.82265i	−0.208111	−	0.221184i
$694$	10.5642	−	18.2978i	0.401012	−	0.694574i
$695$	−0.653144	−	1.79450i	−0.0247752	−	0.0680692i
$696$	−3.25151	+	0.184841i	−0.123248	+	0.00700637i
$697$	46.0662	−	38.6541i	1.74488	−	1.46413i
$698$	−11.5446	+	9.68710i	−0.436971	+	0.366662i
$699$	13.5847	+	14.4391i	0.513821	+	0.546138i
$700$	−13.9363	−	0.791724i	−0.526743	−	0.0299243i
$701$			51.3062i			1.93781i	0.247434	+	0.968905i	$0.420413\pi$
$701$			51.3062i			1.93781i	−0.247434	+	0.968905i	$0.579587\pi$
$702$	1.06286	−	2.88270i	0.0401151	−	0.108800i
$703$	2.94844	+	1.70228i	0.111203	+	0.0642029i
$704$	0.0879026	+	0.241510i	0.00331295	+	0.00910227i
$705$	−0.773081	−	3.28223i	−0.0291159	−	0.123616i
$706$	25.4585	−	4.48902i	0.958143	−	0.168947i
$707$	14.5135	+	13.6536i	0.545836	+	0.513498i
$708$	−24.7964	+	1.40961i	−0.931905	+	0.0529765i
$709$	−11.6315	+	4.23352i	−0.436830	+	0.158993i	−0.551068	−	0.834460i	$-0.685780\pi$
$709$	−11.6315	+	4.23352i	−0.436830	+	0.158993i	0.114238	+	0.993453i	$0.463557\pi$
$710$	3.55922	+	6.16474i	0.133575	+	0.231359i
$711$	24.4794	−	25.8025i	0.918050	−	0.967668i
$712$	−5.56919	−	3.21537i	−0.208714	−	0.120501i
$713$	−3.89546	+	1.41783i	−0.145886	+	0.0530982i
$714$	36.3880	+	21.0068i	1.36179	+	0.786161i
$715$	−0.0916036	+	0.0768646i	−0.00342578	+	0.00287457i
$716$	−4.93167	+	13.5497i	−0.184305	+	0.506375i
$717$	40.5131	+	4.79244i	1.51299	+	0.178977i
$718$	3.30370	−	18.7362i	0.123293	−	0.699229i
$719$	−3.36102	+	5.82146i	−0.125345	+	0.217104i	−0.921868	−	0.387505i	$-0.873337\pi$
$719$	−3.36102	+	5.82146i	−0.125345	+	0.217104i	0.796523	+	0.604609i	$0.206670\pi$
$720$	−4.72515	+	2.35662i	−0.176096	+	0.0878261i
$721$	−1.80770	+	0.213907i	−0.0673221	+	0.00796632i
$722$	32.3180	+	5.69854i	1.20275	+	0.212078i
$723$	−0.225299	−	3.96321i	−0.00837897	−	0.147394i
$724$	−14.1471	−	16.8599i	−0.525774	−	0.626593i
$725$	1.94576	−	5.34593i	0.0722637	−	0.198543i
$726$	−20.8058	−	22.1144i	−0.772177	−	0.820744i
$727$	0.661805	−	0.788708i	0.0245450	−	0.0292516i	−0.753632	−	0.657296i	$-0.771700\pi$
$727$	0.661805	−	0.788708i	0.0245450	−	0.0292516i	0.778177	+	0.628045i	$0.216144\pi$
$728$	−0.168746	−	1.42604i	−0.00625414	−	0.0528527i
$729$	−4.91028	+	26.5497i	−0.181862	+	0.983324i
$730$	−2.46173	−	4.26384i	−0.0911128	−	0.157812i
$731$	−30.2299	+	11.0028i	−1.11809	+	0.406952i
$732$	7.62115	−	25.3281i	0.281686	−	0.936154i
$733$	21.4478	+	25.5605i	0.792194	+	0.944100i	0.999415	−	0.0341942i	$-0.0108865\pi$
$733$	21.4478	+	25.5605i	0.792194	+	0.944100i	−0.207221	+	0.978294i	$0.566442\pi$
$734$	−50.3188	−	18.3145i	−1.85730	−	0.676002i
$735$	0.979489	−	4.15995i	0.0361290	−	0.153442i
$736$	2.28504	−	12.9591i	0.0842277	−	0.477679i
$737$			8.43826i			0.310827i
$738$	−60.5308	−	3.69453i	−2.22817	−	0.135998i
$739$	−39.6066			−1.45695			−0.728476	−	0.685072i	$-0.759771\pi$
$739$	−39.6066			−1.45695			−0.728476	+	0.685072i	$0.759771\pi$
$740$	−1.79448	−	1.50575i	−0.0659664	−	0.0553524i
$741$	0.297112	−	0.127672i	0.0109147	−	0.00469013i
$742$	−14.2095	−	13.3677i	−0.521649	−	0.490744i
$743$	−27.9888	−	33.3557i	−1.02681	−	1.22370i	−0.974340	−	0.225080i	$-0.927736\pi$
$743$	−27.9888	−	33.3557i	−1.02681	−	1.22370i	−0.0524680	−	0.998623i	$-0.516709\pi$
$744$	4.47814	−	1.92429i	0.164176	−	0.0705481i
$745$	−2.81432	−	0.496240i	−0.103109	−	0.0181808i
$746$			56.3051i			2.06148i
$747$	3.13403	+	10.5754i	0.114668	+	0.386933i
$748$	−4.92962	−	2.84612i	−0.180245	−	0.104064i
$749$	−30.4246	+	15.3343i	−1.11169	+	0.560302i
$750$	−0.600773	−	10.5681i	−0.0219371	−	0.385893i
$751$	−7.79001	−	44.1793i	−0.284261	−	1.61213i	−0.707912	−	0.706301i	$-0.750363\pi$
$751$	−7.79001	−	44.1793i	−0.284261	−	1.61213i	0.423650	−	0.905826i	$-0.360749\pi$
$752$	−25.9153	−	9.43240i	−0.945034	−	0.343964i
$753$	−4.22932	+	3.97905i	−0.154125	+	0.145005i
$754$	−0.679426	−	0.119801i	−0.0247432	−	0.00436290i
$755$	4.00093			0.145609
$756$	−4.22736	−	14.2628i	−0.153748	−	0.518731i
$757$	−17.5926			−0.639414			−0.319707	−	0.947516i	$-0.603585\pi$
$757$	−17.5926			−0.639414			−0.319707	+	0.947516i	$0.603585\pi$
$758$	5.61125	+	0.989415i	0.203810	+	0.0359372i
$759$	0.949516	+	4.03131i	0.0344653	+	0.146327i
$760$	−0.295898	−	0.107698i	−0.0107333	−	0.00390662i
$761$	−6.81865	−	38.6705i	−0.247176	−	1.40180i	−0.815384	−	0.578920i	$-0.803474\pi$
$761$	−6.81865	−	38.6705i	−0.247176	−	1.40180i	0.568208	−	0.822885i	$-0.307637\pi$
$762$	−48.1580	+	31.5781i	−1.74458	+	1.14395i
$763$	−3.62713	+	5.53197i	−0.131311	+	0.200271i
$764$	−21.3166	−	12.3072i	−0.771208	−	0.445257i
$765$	−2.20155	+	5.06497i	−0.0795971	+	0.183124i
$766$			55.9513i			2.02160i
$767$	4.39538	+	0.775024i	0.158708	+	0.0279845i
$768$	−4.01630	+	33.9519i	−0.144926	+	1.22514i
$769$	−14.8060	−	17.6451i	−0.533917	−	0.636297i	0.429896	−	0.902879i	$-0.358550\pi$
$769$	−14.8060	−	17.6451i	−0.533917	−	0.636297i	−0.963812	+	0.266581i	$0.914106\pi$
$770$	−0.378023	+	1.60522i	−0.0136230	+	0.0578482i
$771$	−13.6070	−	10.1595i	−0.490042	−	0.365884i
$772$	−11.8607	−	9.95235i	−0.426878	−	0.358193i
$773$	13.1133			0.471654			0.235827	−	0.971795i	$-0.424220\pi$
$773$	13.1133			0.471654			0.235827	+	0.971795i	$0.424220\pi$
$774$	29.7528	+	12.9324i	1.06944	+	0.464845i
$775$			8.51419i			0.305839i
$776$	4.46260	−	25.3086i	0.160198	−	0.908527i
$777$	−21.5592	+	18.0917i	−0.773431	+	0.649035i
$778$	21.8055	+	7.93655i	0.781765	+	0.284539i
$779$	−4.10288	−	4.88962i	−0.147001	−	0.175189i
$780$	−0.216577	+	0.0510116i	−0.00775471	+	0.00182651i
$781$	−10.8878	+	3.96284i	−0.389597	+	0.141802i
$782$	−10.8830	−	18.8500i	−0.389176	−	0.674073i
$783$	6.06281	+	0.0253031i	0.216667	+	0.000904260i
$784$	−24.0586	−	25.3551i	−0.859237	−	0.905541i
$785$	−2.31874	+	2.76337i	−0.0827595	+	0.0986289i
$786$	26.5184	−	6.24602i	0.945880	−	0.222788i
$787$	−6.68029	+	18.3540i	−0.238127	+	0.654248i	0.761852	+	0.647751i	$0.224290\pi$
$787$	−6.68029	+	18.3540i	−0.238127	+	0.654248i	−0.999979	+	0.00649688i	$0.997932\pi$
$788$	−14.5029	−	17.2838i	−0.516643	−	0.615712i
$789$	−0.486399	+	0.318941i	−0.0173163	+	0.0113546i
$790$	−7.22511	−	1.27398i	−0.257058	−	0.0453263i
$791$	4.72287	−	10.9920i	0.167926	−	0.390830i
$792$	−1.38362	−	4.66885i	−0.0491648	−	0.165900i
$793$	−2.37657	+	4.11633i	−0.0843944	+	0.146175i
$794$	−2.54673	+	14.4432i	−0.0903800	+	0.512571i
$795$	1.53417	−	2.05478i	0.0544115	−	0.0728755i
$796$	3.81242	−	10.4745i	0.135127	−	0.371260i
$797$	33.0527	−	27.7345i	1.17079	−	0.982407i	0.170792	−	0.985307i	$-0.445368\pi$
$797$	33.0527	−	27.7345i	1.17079	−	0.982407i	0.999996	+	0.00289994i	$0.000923080\pi$
$798$	2.22974	−	3.86235i	0.0789318	−	0.136726i
$799$	−27.1056	+	9.86564i	−0.958928	+	0.349021i
$800$	−23.4059	−	13.5134i	−0.827522	−	0.477770i
$801$	9.98381	+	6.60632i	0.352760	+	0.233423i
$802$	−1.09627	−	1.89880i	−0.0387107	−	0.0670489i
$803$	7.53056	−	2.74090i	0.265748	−	0.0967243i
$804$	−7.06618	+	14.0212i	−0.249205	+	0.494491i
$805$	−1.51700	+	1.61253i	−0.0534671	+	0.0568343i
$806$	1.01683	−	0.179295i	0.0358163	−	0.00631539i
$807$	−4.93260	+	4.64072i	−0.173636	+	0.163361i
$808$	4.15109	+	11.4050i	0.146035	+	0.401227i
$809$	−3.19658	−	1.84555i	−0.112386	−	0.0648860i	0.442753	−	0.896643i	$-0.354002\pi$
$809$	−3.19658	−	1.84555i	−0.112386	−	0.0648860i	−0.555139	+	0.831757i	$0.687335\pi$
$810$	5.12613	−	2.17744i	0.180114	−	0.0765076i
$811$			11.5750i			0.406454i	0.979132	+	0.203227i	$0.0651429\pi$
$811$			11.5750i			0.406454i	−0.979132	+	0.203227i	$0.934857\pi$
$812$	−2.98297	+	1.50344i	−0.104682	+	0.0527604i
$813$	19.2855	−	4.54243i	0.676374	−	0.159310i
$814$	8.31948	−	6.98087i	0.291597	−	0.244679i
$815$	4.16362	−	3.49369i	0.145845	−	0.122379i
$816$	24.7678	+	37.7719i	0.867046	+	1.32228i
$817$	1.16787	+	3.20870i	0.0408587	+	0.112258i
$818$	−25.2395	+	43.7161i	−0.882479	+	1.52850i
$819$	0.151824	+	2.66896i	0.00530516	+	0.0932611i
$820$	2.19591	+	3.80342i	0.0766844	+	0.132821i
$821$	18.6621	−	22.2406i	0.651311	−	0.776202i	−0.334800	−	0.942289i	$-0.608669\pi$
$821$	18.6621	−	22.2406i	0.651311	−	0.776202i	0.986111	+	0.166087i	$0.0531132\pi$
$822$	6.81796	−	57.6359i	0.237804	−	2.01028i
$823$	−0.366594	−	2.07906i	−0.0127787	−	0.0724714i	0.977752	−	0.209766i	$-0.0672703\pi$
$823$	−0.366594	−	2.07906i	−0.0127787	−	0.0724714i	−0.990530	+	0.137295i	$0.956159\pi$
$824$	−1.04186	−	0.379208i	−0.0362951	−	0.0132103i
$825$	8.44740	+	0.999274i	0.294101	+	0.0347903i
$826$	54.9653	−	27.7030i	1.91249	−	0.963911i
$827$	23.9638	−	13.8355i	0.833303	−	0.481108i	−0.0216789	−	0.999765i	$-0.506901\pi$
$827$	23.9638	−	13.8355i	0.833303	−	0.481108i	0.854982	+	0.518657i	$0.173568\pi$
$828$	−1.79806	+	7.49365i	−0.0624870	+	0.260422i
$829$	−25.6640	+	14.8171i	−0.891347	+	0.514620i	−0.874383	−	0.485237i	$-0.838734\pi$
$829$	−25.6640	+	14.8171i	−0.891347	+	0.514620i	−0.0169643	+	0.999856i	$0.505400\pi$
$830$	1.46248	−	1.74291i	0.0507634	−	0.0604974i
$831$	20.5029	+	31.2678i	0.711238	+	1.08467i
$832$	0.0293925	−	0.0807553i	0.00101900	−	0.00279969i
$833$	−36.3230	−	4.14040i	−1.25852	−	0.143456i
$834$	15.7751	+	4.74668i	0.546248	+	0.164364i
$835$	0.134316	−	0.761746i	0.00464821	−	0.0263613i
$836$	−0.302096	+	0.523246i	−0.0104482	+	0.0180969i
$837$	−8.53936	+	3.06777i	−0.295163	+	0.106038i
$838$	−35.5963	+	20.5515i	−1.22965	+	0.709941i
$839$	−41.3017	−	34.6563i	−1.42589	−	1.19647i	−0.948091	−	0.318000i	$-0.896989\pi$
$839$	−41.3017	−	34.6563i	−1.42589	−	1.19647i	−0.477803	−	0.878467i	$-0.658567\pi$
$840$	1.67315	−	1.99413i	0.0577290	−	0.0688040i
$841$	4.79939	+	27.2187i	0.165496	+	0.938576i
$842$	35.9482	−	6.33864i	1.23886	−	0.218444i
$843$	−1.51645	−	26.6757i	−0.0522293	−	0.918760i
$844$	−19.0616	−	15.9946i	−0.656127	−	0.550556i
$845$	−4.54238			−0.156263
$846$	26.6778	+	11.5958i	0.917203	+	0.398673i
$847$	24.2733	+	10.4294i	0.834039	+	0.358357i
$848$	−7.17305	−	19.7078i	−0.246323	−	0.676768i
$849$	10.3820	+	1.22813i	0.356311	+	0.0421493i
$850$	−44.0252	+	7.76284i	−1.51005	+	0.266263i
$851$	14.3583	−	2.53176i	0.492198	−	0.0867877i
$852$	−21.4100	−	2.53266i	−0.733494	−	0.0867677i
$853$	−5.90206	−	16.2158i	−0.202083	−	0.555217i	0.796709	−	0.604363i	$-0.206572\pi$
$853$	−5.90206	−	16.2158i	−0.202083	−	0.555217i	−0.998792	+	0.0491457i	$0.984350\pi$
$854$	7.70296	+	65.0965i	0.263590	+	2.22756i
$855$	0.537613	+	0.233680i	0.0183860	+	0.00799168i
$856$	−20.7519			−0.709287
$857$	13.8256	+	11.6011i	0.472275	+	0.396285i	0.847624	−	0.530598i	$-0.178033\pi$
$857$	13.8256	+	11.6011i	0.472275	+	0.396285i	−0.375349	+	0.926884i	$0.622477\pi$
$858$	−0.0585472	−	1.02990i	−0.00199877	−	0.0351601i
$859$	14.0360	−	2.47492i	0.478901	−	0.0844432i	0.0710136	−	0.997475i	$-0.477377\pi$
$859$	14.0360	−	2.47492i	0.478901	−	0.0844432i	0.407888	+	0.913032i	$0.366266\pi$
$860$	−0.407977	−	2.31376i	−0.0139119	−	0.0788984i
$861$	49.5827	−	18.0487i	1.68977	−	0.615099i
$862$	9.51982	+	7.98808i	0.324247	+	0.272075i
$863$	21.5995	−	12.4705i	0.735257	−	0.424501i	−0.0850854	−	0.996374i	$-0.527116\pi$
$863$	21.5995	−	12.4705i	0.735257	−	0.424501i	0.820342	+	0.571873i	$0.193783\pi$
$864$	5.11989	−	28.3441i	0.174182	−	0.964285i
$865$	−2.20004	+	3.81057i	−0.0748034	+	0.129563i
$866$	8.48616	−	48.1274i	0.288371	−	1.63544i
$867$	17.0431	+	5.12821i	0.578813	+	0.174163i
$868$	3.42552	−	3.64124i	0.116270	−	0.123592i
$869$	4.08428	−	11.2215i	0.138550	−	0.380663i
$870$	−0.685771	−	1.04583i	−0.0232498	−	0.0354569i
$871$	1.81366	−	2.16143i	0.0614535	−	0.0732374i
$872$	−3.48934	+	2.01457i	−0.118164	+	0.0682221i
$873$	−11.1626	+	46.5215i	−0.377797	+	1.57451i
$874$	−2.00080	+	1.15516i	−0.0676780	+	0.0390739i
$875$	4.14525	+	8.22455i	0.140135	+	0.278041i
$876$	14.8082	+	1.75172i	0.500323	+	0.0591850i
$877$	−6.58723	−	2.39756i	−0.222435	−	0.0809598i	0.228399	−	0.973568i	$-0.426651\pi$
$877$	−6.58723	−	2.39756i	−0.222435	−	0.0809598i	−0.450834	+	0.892608i	$0.648873\pi$
$878$	1.85897	+	10.5427i	0.0627372	+	0.355800i
$879$	−3.86768	+	32.6956i	−0.130454	+	1.10280i
$880$	−1.13956	+	1.35807i	−0.0384145	+	0.0457807i
$881$	7.65183	+	13.2534i	0.257797	+	0.446517i	0.965651	−	0.259841i	$-0.0836702\pi$
$881$	7.65183	+	13.2534i	0.257797	+	0.446517i	−0.707855	+	0.706358i	$0.750337\pi$
$882$	23.6999	+	28.2402i	0.798018	+	0.950896i
$883$	−4.97301	+	8.61350i	−0.167355	+	0.289867i	−0.937489	−	0.348015i	$-0.886856\pi$
$883$	−4.97301	+	8.61350i	−0.167355	+	0.289867i	0.770134	+	0.637882i	$0.220189\pi$
$884$	0.650982	+	1.78856i	0.0218949	+	0.0601558i
$885$	4.43643	+	6.76574i	0.149129	+	0.227428i
$886$	12.0391	−	10.1020i	0.404462	−	0.339384i
$887$	−1.19482	+	1.00257i	−0.0401181	+	0.0336631i	−0.662626	−	0.748950i	$-0.730558\pi$
$887$	−1.19482	+	1.00257i	−0.0401181	+	0.0336631i	0.622508	+	0.782613i	$0.286114\pi$
$888$	−16.6858	+	3.93010i	−0.559940	+	0.131886i
$889$	27.4744	−	41.9031i	0.921462	−	1.40538i
$890$		−	2.46945i		−	0.0827760i
$891$	2.04148	+	8.83242i	0.0683921	+	0.295897i
$892$	15.9320	+	9.19834i	0.533443	+	0.307983i
$893$	1.04717	+	2.87708i	0.0350423	+	0.0962779i
$894$	17.9549	−	16.8925i	0.600503	−	0.564969i
$895$	4.62577	−	0.815648i	0.154622	−	0.0272641i
$896$	−8.79398	−	29.2219i	−0.293786	−	0.976237i
$897$	0.623244	−	1.23669i	0.0208095	−	0.0412918i
$898$	25.5946	−	9.31568i	0.854104	−	0.310868i
$899$	1.01875	+	1.76453i	0.0339772	+	0.0588503i
$900$	13.1996	+	8.73425i	0.439988	+	0.291142i
$901$	−18.9970	−	10.9679i	−0.632882	−	0.365395i
$902$	−19.1332	+	6.96390i	−0.637065	+	0.231873i
$903$	−28.2275	+	0.00105315i	−0.939353	+	3.50468e-5i
$904$	5.58212	−	4.68395i	0.185659	−	0.155786i
$905$	−2.45212	+	6.73715i	−0.0815113	+	0.223951i
$906$	−20.6489	+	27.6558i	−0.686013	+	0.918804i
$907$	−3.35557	+	19.0304i	−0.111420	+	0.631894i	0.877041	+	0.480416i	$0.159514\pi$
$907$	−3.35557	+	19.0304i	−0.111420	+	0.631894i	−0.988461	+	0.151478i	$0.951597\pi$
$908$	−7.43592	+	12.8794i	−0.246770	+	0.427418i
$909$	−6.41991	−	21.6632i	−0.212935	−	0.718523i
$910$	0.441844	−	0.329923i	0.0146470	−	0.0109368i
$911$	−17.0503	−	3.00643i	−0.564902	−	0.0996075i	−0.116098	−	0.993238i	$-0.537039\pi$
$911$	−17.0503	−	3.00643i	−0.564902	−	0.0996075i	−0.448804	+	0.893630i	$0.648150\pi$
$912$	4.00924	−	2.62894i	0.132759	−	0.0870528i
$913$	2.38046	+	2.83692i	0.0787817	+	0.0938883i
$914$	−20.2431	+	55.6173i	−0.669581	+	1.83966i
$915$	−8.38666	+	1.97536i	−0.277254	+	0.0653033i
$916$	9.28116	−	11.0609i	0.306658	−	0.365461i
$917$	−18.9940	+	14.1827i	−0.627238	+	0.468355i
$918$	−23.6486	−	41.3583i	−0.780521	−	1.36503i
$919$	0.419253	+	0.726167i	0.0138299	+	0.0239540i	0.872858	−	0.487975i	$-0.162264\pi$
$919$	0.419253	+	0.726167i	0.0138299	+	0.0239540i	−0.859028	+	0.511929i	$0.828931\pi$
$920$	−1.26716	+	0.461210i	−0.0417771	+	0.0152056i
$921$	22.7536	−	5.35928i	0.749756	−	0.176594i
$922$	9.81764	+	11.7002i	0.323327	+	0.385326i
$923$	3.64063	+	1.32508i	0.119833	+	0.0436155i
$924$	−3.21064	−	3.82600i	−0.105622	−	0.125866i
$925$	5.19988	−	29.4900i	0.170971	−	0.969625i
$926$			2.89276i			0.0950618i
$927$	1.89295	+	0.822793i	0.0621726	+	0.0270241i
$928$	−6.46767			−0.212312
$929$	−12.1731	−	10.2144i	−0.399386	−	0.335125i	0.420870	−	0.907121i	$-0.361725\pi$
$929$	−12.1731	−	10.2144i	−0.399386	−	0.335125i	−0.820256	+	0.571996i	$0.806169\pi$
$930$	1.49976	+	1.11977i	0.0491790	+	0.0367188i
$931$	−0.439476	+	3.85545i	−0.0144032	+	0.126357i
$932$	7.96119	+	9.48777i	0.260777	+	0.310782i
$933$	−4.06397	+	34.3550i	−0.133049	+	1.12473i
$934$	33.2714	+	5.86665i	1.08867	+	0.191963i
$935$			1.85427i			0.0606410i
$936$	−0.649079	+	1.49330i	−0.0212158	+	0.0488099i
$937$	9.96827	+	5.75518i	0.325649	+	0.188014i	0.653908	−	0.756574i	$-0.273128\pi$
$937$	9.96827	+	5.75518i	0.325649	+	0.188014i	−0.328259	+	0.944588i	$0.606462\pi$
$938$	2.20705	−	38.8495i	0.0720626	−	1.26848i
$939$	35.0819	−	23.0039i	1.14485	−	0.750702i
$940$	−0.365813	−	2.07463i	−0.0119315	−	0.0676670i
$941$	10.4441	+	3.80135i	0.340469	+	0.123921i	0.506596	−	0.862184i	$-0.330904\pi$
$941$	10.4441	+	3.80135i	0.340469	+	0.123921i	−0.166126	+	0.986104i	$0.553126\pi$
$942$	−7.13433	−	30.2898i	−0.232449	−	0.986895i
$943$	−26.9193	−	4.74659i	−0.876612	−	0.154570i
$944$	66.1692			2.15362
$945$	−3.33514	+	3.51566i	−0.108492	+	0.114364i
$946$	10.8924			0.354142
$947$	7.20498	+	1.27043i	0.234130	+	0.0412835i	0.289482	−	0.957183i	$-0.406517\pi$
$947$	7.20498	+	1.27043i	0.234130	+	0.0412835i	−0.0553518	+	0.998467i	$0.517628\pi$
$948$	16.1834	−	15.2257i	0.525612	−	0.494509i
$949$	−2.51804	−	0.916491i	−0.0817390	−	0.0297506i
$950$	0.823974	+	4.67299i	0.0267333	+	0.151612i
$951$	1.75718	+	30.9103i	0.0569804	+	1.00234i
$952$	−18.6214	−	12.2094i	−0.603525	−	0.395710i
$953$	−4.40070	−	2.54074i	−0.142553	−	0.0823028i	0.427027	−	0.904239i	$-0.359561\pi$
$953$	−4.40070	−	2.54074i	−0.142553	−	0.0823028i	−0.569580	+	0.821936i	$0.692894\pi$
$954$	6.28547	+	21.2095i	0.203500	+	0.686684i
$955$			8.01821i			0.259463i
$956$	25.0992	+	4.42567i	0.811766	+	0.143136i
$957$	1.87025	−	0.803664i	0.0604566	−	0.0259788i
$958$	2.57225	+	3.06549i	0.0831055	+	0.0990413i
$959$	14.5522	+	48.3562i	0.469915	+	1.56150i
$960$	0.143128	−	0.0615032i	0.00461942	−	0.00198501i
$961$	21.4115	+	17.9663i	0.690692	+	0.579560i
$962$	−3.63142			−0.117082
$963$	38.5605	+	2.35356i	1.24260	+	0.0758425i
$964$		−	2.47996i		−	0.0798740i
$965$	−0.875826	+	4.96706i	−0.0281938	+	0.159895i
$966$	−3.31714	−	18.8084i	−0.106727	−	0.605149i
$967$	−1.71991	−	0.625995i	−0.0553085	−	0.0201306i	0.314218	−	0.949351i	$-0.398258\pi$
$967$	−1.71991	−	0.625995i	−0.0553085	−	0.0201306i	−0.369526	+	0.929220i	$0.620480\pi$
$968$	10.3434	+	12.3268i	0.332450	+	0.396199i
$969$	1.44486	−	4.80184i	0.0464155	−	0.154257i
$970$	9.27345	−	3.37526i	0.297753	−	0.108373i
$971$	−19.7282	−	34.1703i	−0.633109	−	1.09658i	−0.986912	−	0.161257i	$-0.948445\pi$
$971$	−19.7282	−	34.1703i	−0.633109	−	1.09658i	0.353804	−	0.935320i	$-0.384888\pi$
$972$	−4.00407	+	16.3857i	−0.128430	+	0.525572i
$973$	−14.2345	+	1.68438i	−0.456336	+	0.0539989i
$974$	−6.48771	+	7.73175i	−0.207880	+	0.247741i
$975$	−1.94900	−	2.07158i	−0.0624179	−	0.0663438i
$976$	−24.1014	+	66.2181i	−0.771468	+	2.11959i
$977$	−31.3243	−	37.3308i	−1.00215	−	1.19432i	−0.980894	−	0.194544i	$-0.937677\pi$
$977$	−31.3243	−	37.3308i	−1.00215	−	1.19432i	−0.0212577	−	0.999774i	$-0.506767\pi$
$978$	2.66112	+	46.8115i	0.0850932	+	1.49687i
$979$	3.95842	+	0.697977i	0.126512	+	0.0223074i
$980$	0.758436	−	2.55995i	0.0242273	−	0.0817745i
$981$	6.71226	−	3.34767i	0.214306	−	0.106883i
$982$	26.6489	−	46.1572i	0.850401	−	1.47294i
$983$	3.53204	−	20.0312i	0.112654	−	0.638895i	−0.875230	−	0.483706i	$-0.839290\pi$
$983$	3.53204	−	20.0312i	0.112654	−	0.638895i	0.987885	−	0.155189i	$-0.0495986\pi$
$984$	31.9164	+	3.77550i	1.01746	+	0.120359i
$985$	−2.51378	+	6.90656i	−0.0800958	+	0.220061i
$986$	−8.19518	+	6.87657i	−0.260988	+	0.218995i
$987$	−25.3102		0.000944310i	−0.805633		3.00577e-5i
$988$	0.189844	−	0.0690975i	0.00603974	−	0.00219828i
$989$	12.6638	+	7.31146i	0.402686	+	0.232491i
$990$	1.28701	−	1.35657i	0.0409039	−	0.0431146i
$991$	−3.17098	−	5.49230i	−0.100730	−	0.174469i	0.811256	−	0.584691i	$-0.198784\pi$
$991$	−3.17098	−	5.49230i	−0.100730	−	0.174469i	−0.911985	+	0.410223i	$0.865451\pi$
$992$	9.09579	−	3.31060i	0.288792	−	0.105112i
$993$	−13.7497	+	0.781635i	−0.436332	+	0.0248044i
$994$	51.1637	−	15.3971i	1.62281	−	0.488365i
$995$	−3.57594	+	0.630534i	−0.113365	+	0.0199893i
$996$	1.57981	+	6.70729i	0.0500581	+	0.212529i
$997$	11.6400	+	31.9807i	0.368644	+	1.01284i	0.975878	+	0.218317i	$0.0700568\pi$
$997$	11.6400	+	31.9807i	0.368644	+	1.01284i	−0.607234	+	0.794523i	$0.707721\pi$
$998$	14.1697	+	8.18087i	0.448533	+	0.258961i
$999$	31.4507	−	5.41037i	0.995057	−	0.171177i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	189.2.ba.a.38.17	yes	132
3.2	odd	2		567.2.ba.a.521.6		132
7.5	odd	6		189.2.bd.a.173.6	yes	132
21.5	even	6		567.2.bd.a.278.17		132
27.5	odd	18		189.2.bd.a.59.6	yes	132
27.22	even	9		567.2.bd.a.206.17		132
189.5	even	18	inner	189.2.ba.a.5.17	✓	132
189.103	odd	18		567.2.ba.a.530.6		132

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
189.2.ba.a.5.17	✓	132	189.5	even	18	inner
189.2.ba.a.38.17	yes	132	1.1	even	1	trivial
189.2.bd.a.59.6	yes	132	27.5	odd	18
189.2.bd.a.173.6	yes	132	7.5	odd	6
567.2.ba.a.521.6		132	3.2	odd	2
567.2.ba.a.530.6		132	189.103	odd	18
567.2.bd.a.206.17		132	27.22	even	9
567.2.bd.a.278.17		132	21.5	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:	\( N \)	\(=\)	\( 189 = 3^{3} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	189.ba (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(1.72891 + 0.304854i) q^{2} +(1.65859 + 0.499066i) q^{3} +(1.01682 + 0.370091i) q^{4} +(-0.0612092 - 0.347134i) q^{5} +(2.71542 + 1.36847i) q^{6} +(-2.64149 - 0.150064i) q^{7} +(-1.39560 - 0.805749i) q^{8} +(2.50187 + 1.65549i) q^{9} -0.618825i q^{10} +(0.991951 + 0.174908i) q^{11} +(1.50179 + 1.12129i) q^{12} +(-0.216492 - 0.258005i) q^{13} +(-4.52116 - 1.06472i) q^{14} +(0.0717217 - 0.606302i) q^{15} +(-3.82506 - 3.20961i) q^{16} -5.22261 q^{17} +(3.82082 + 3.62491i) q^{18} +0.554345i q^{19} +(0.0662328 - 0.375625i) q^{20} +(-4.30627 - 1.56717i) q^{21} +(1.66167 + 0.604800i) q^{22} +(1.52594 + 1.81855i) q^{23} +(-1.91261 - 2.03290i) q^{24} +(4.58171 - 1.66761i) q^{25} +(-0.295641 - 0.512066i) q^{26} +(3.32338 + 3.99439i) q^{27} +(-2.63037 - 1.13018i) q^{28} +(0.750003 - 0.893819i) q^{29} +(0.308834 - 1.02638i) q^{30} +(-0.597247 + 1.64092i) q^{31} +(-3.56303 - 4.24626i) q^{32} +(1.55795 + 0.785149i) q^{33} +(-9.02943 - 1.59213i) q^{34} +(0.109591 + 0.926138i) q^{35} +(1.93126 + 2.60925i) q^{36} +(3.07080 - 5.31879i) q^{37} +(-0.168994 + 0.958414i) q^{38} +(-0.230310 - 0.535969i) q^{39} +(-0.194280 + 0.533779i) q^{40} +(-8.82053 + 7.40131i) q^{41} +(-6.96741 - 4.02229i) q^{42} +(5.78827 - 2.10676i) q^{43} +(0.943900 + 0.544961i) q^{44} +(0.421542 - 0.969816i) q^{45} +(2.08383 + 3.60930i) q^{46} +(5.19006 - 1.88903i) q^{47} +(-4.74242 - 7.23239i) q^{48} +(6.95496 + 0.792784i) q^{49} +(8.42975 - 1.48639i) q^{50} +(-8.66218 - 2.60642i) q^{51} +(-0.124647 - 0.342465i) q^{52} +(3.63746 + 2.10009i) q^{53} +(4.52813 + 7.91909i) q^{54} -0.355046i q^{55} +(3.56555 + 2.33781i) q^{56} +(-0.276655 + 0.919434i) q^{57} +(1.56917 - 1.31669i) q^{58} +(-10.1514 + 8.51803i) q^{59} +(0.297315 - 0.589955i) q^{60} +(-4.82679 - 13.2615i) q^{61} +(-1.53283 + 2.65494i) q^{62} +(-6.36023 - 4.74841i) q^{63} +(0.127580 + 0.220974i) q^{64} +(-0.0763111 + 0.0909440i) q^{65} +(2.45421 + 1.83240i) q^{66} +(1.45474 + 8.25023i) q^{67} +(-5.31043 - 1.93284i) q^{68} +(1.62335 + 3.77778i) q^{69} +(-0.0928631 + 1.63462i) q^{70} +(-9.96202 + 5.75157i) q^{71} +(-2.15769 - 4.32628i) q^{72} +(6.89023 - 3.97807i) q^{73} +(6.93060 - 8.25957i) q^{74} +(8.43144 - 0.479307i) q^{75} +(-0.205158 + 0.563667i) q^{76} +(-2.59398 - 0.610873i) q^{77} +(-0.234794 - 0.996854i) q^{78} +(2.05871 - 11.6755i) q^{79} +(-0.880037 + 1.52427i) q^{80} +(3.51868 + 8.28365i) q^{81} +(-17.5062 + 10.1072i) q^{82} +(2.81649 + 2.36332i) q^{83} +(-3.79869 - 3.18724i) q^{84} +(0.319671 + 1.81295i) q^{85} +(10.6497 - 1.87782i) q^{86} +(1.69003 - 1.10818i) q^{87} +(-1.24343 - 1.04336i) q^{88} +3.99054 q^{89} +(1.02446 - 1.54822i) q^{90} +(0.533144 + 0.714005i) q^{91} +(0.878576 + 2.41387i) q^{92} +(-1.80952 + 2.42356i) q^{93} +(9.54903 - 1.68375i) q^{94} +(0.192432 - 0.0339310i) q^{95} +(-3.79046 - 8.82101i) q^{96} +(5.45431 + 14.9856i) q^{97} +(11.7828 + 3.49090i) q^{98} +(2.19217 + 2.07976i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 132 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} - 18 q^{6} - 6 q^{7} - 18 q^{8} + 3 q^{9} - 9 q^{11} - 9 q^{12} + 3 q^{14} - 24 q^{15} + 3 q^{16} - 18 q^{17} - 3 q^{18} + 18 q^{20} - 21 q^{21} - 12 q^{22}+ \cdots + 96 q^{99}+O(q^{100}) \) 132 * q - 3 * q^2 - 9 * q^3 - 3 * q^4 - 9 * q^5 - 18 * q^6 - 6 * q^7 - 18 * q^8 + 3 * q^9 - 9 * q^11 - 9 * q^12 + 3 * q^14 - 24 * q^15 + 3 * q^16 - 18 * q^17 - 3 * q^18 + 18 * q^20 - 21 * q^21 - 12 * q^22 - 6 * q^23 - 9 * q^24 - 3 * q^25 - 12 * q^28 + 6 * q^29 + 51 * q^30 - 9 * q^31 + 3 * q^32 - 9 * q^33 - 18 * q^34 + 18 * q^35 + 3 * q^37 - 99 * q^38 - 36 * q^39 - 54 * q^40 - 45 * q^42 - 12 * q^43 - 9 * q^44 - 9 * q^45 + 3 * q^46 + 45 * q^47 - 24 * q^49 - 9 * q^50 - 48 * q^51 - 9 * q^52 - 45 * q^53 + 171 * q^54 + 3 * q^56 - 3 * q^58 + 36 * q^59 + 57 * q^60 - 9 * q^61 - 99 * q^62 - 33 * q^63 + 18 * q^64 + 69 * q^65 - 9 * q^66 - 3 * q^67 + 36 * q^68 + 108 * q^69 + 66 * q^70 + 18 * q^71 - 129 * q^72 - 9 * q^73 + 75 * q^74 + 36 * q^75 + 36 * q^76 + 15 * q^77 + 66 * q^78 - 21 * q^79 + 72 * q^80 - 33 * q^81 - 18 * q^82 - 90 * q^83 - 120 * q^84 + 9 * q^85 - 105 * q^86 - 54 * q^87 - 63 * q^88 - 18 * q^89 + 81 * q^90 + 6 * q^91 + 150 * q^92 + 21 * q^93 - 9 * q^94 + 45 * q^95 - 81 * q^96 + 27 * q^98 + 96 * q^99

Introduction

L-functions

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