LMFDB - Embedded newform 738.2.s.b.133.13

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [738,2,Mod(133,738)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("738.133"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(738, base_ring=CyclotomicField(30)) chi = DirichletCharacter(H, H._module([20, 6])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 738 = 2 \cdot 3^{2} \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	738.s (of order $15$, degree $8$, minimal)

Newform invariants

comment:select newform

sage:traces = [176] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

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

Self dual:	no
Analytic conductor:	$5.89295966917$
Analytic rank:	$0$
Dimension:	$176$
Relative dimension:	$22$ over $\Q(\zeta_{15})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label			133.13
Character	$\chi$	$=$	738.133
Dual form			738.2.s.b.283.13

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.913545 - 0.406737i) q^{2} +(0.158109 - 1.72482i) q^{3} +(0.669131 - 0.743145i) q^{4} +(2.01177 - 2.23430i) q^{5} +(-0.557108 - 1.64001i) q^{6} +(0.292492 + 2.78287i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-2.95000 - 0.545419i) q^{9} +(0.929075 - 2.85940i) q^{10} +(-2.88847 - 3.20797i) q^{11} +(-1.17600 - 1.27163i) q^{12} +(0.257899 - 2.45374i) q^{13} +(1.39910 + 2.42331i) q^{14} +(-3.53569 - 3.82321i) q^{15} +(-0.104528 - 0.994522i) q^{16} +(-1.49597 + 4.60414i) q^{17} +(-2.91680 + 0.701610i) q^{18} +(6.21712 - 4.51700i) q^{19} +(-0.314270 - 2.99008i) q^{20} +(4.84620 - 0.0644983i) q^{21} +(-3.94354 - 1.75578i) q^{22} +(-0.375511 + 3.57275i) q^{23} +(-1.59154 - 0.683369i) q^{24} +(-0.422225 - 4.01721i) q^{25} +(-0.762424 - 2.34650i) q^{26} +(-1.40717 + 5.00199i) q^{27} +(2.26379 + 1.64474i) q^{28} +(-6.93789 - 1.47469i) q^{29} +(-4.78505 - 2.05458i) q^{30} +(9.17652 - 1.95053i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(-5.98986 + 4.47488i) q^{33} +(0.506030 + 4.81456i) q^{34} +(6.80620 + 4.94499i) q^{35} +(-2.37926 + 1.82732i) q^{36} +(0.560728 + 1.72574i) q^{37} +(3.84239 - 6.65521i) q^{38} +(-4.19148 - 0.832787i) q^{39} +(-1.50327 - 2.60375i) q^{40} +(3.19921 + 5.54662i) q^{41} +(4.40099 - 2.03005i) q^{42} +(1.48908 - 0.662982i) q^{43} -4.31675 q^{44} +(-7.15337 + 5.49394i) q^{45} +(1.11012 + 3.41660i) q^{46} +(-0.704358 + 0.313601i) q^{47} +(-1.73190 + 0.0230499i) q^{48} +(-0.811794 + 0.172552i) q^{49} +(-2.01967 - 3.49817i) q^{50} +(7.70478 + 3.30824i) q^{51} +(-1.65092 - 1.83353i) q^{52} +(-2.62930 - 8.09216i) q^{53} +(0.748977 + 5.14189i) q^{54} -12.9785 q^{55} +(2.73705 + 0.581779i) q^{56} +(-6.80803 - 11.4376i) q^{57} +(-6.93789 + 1.47469i) q^{58} +(-0.0798670 + 0.759884i) q^{59} +(-5.20703 + 0.0693007i) q^{60} +(1.53790 + 14.6322i) q^{61} +(7.58982 - 5.51433i) q^{62} +(0.654979 - 8.36901i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(-4.96356 - 5.51260i) q^{65} +(-3.65191 + 6.52430i) q^{66} +(4.22260 - 4.68967i) q^{67} +(2.42054 + 4.19250i) q^{68} +(6.10297 + 1.21257i) q^{69} +(8.22908 + 1.74915i) q^{70} +(-4.64438 + 14.2939i) q^{71} +(-1.43033 + 2.63708i) q^{72} -15.4492 q^{73} +(1.21417 + 1.34848i) q^{74} +(-6.99571 + 0.0931063i) q^{75} +(0.803278 - 7.64268i) q^{76} +(8.08251 - 8.97654i) q^{77} +(-4.16784 + 0.944042i) q^{78} +(1.54668 - 2.67893i) q^{79} +(-2.43235 - 1.76720i) q^{80} +(8.40504 + 3.21797i) q^{81} +(5.17864 + 3.76585i) q^{82} +(4.21960 - 7.30856i) q^{83} +(3.19481 - 3.64458i) q^{84} +(7.27747 + 12.6049i) q^{85} +(1.09069 - 1.21133i) q^{86} +(-3.64052 + 11.7334i) q^{87} +(-3.94354 + 1.75578i) q^{88} +(13.1464 - 9.55143i) q^{89} +(-4.30034 + 7.92850i) q^{90} +6.90388 q^{91} +(2.40380 + 2.66969i) q^{92} +(-1.91342 - 16.1362i) q^{93} +(-0.515910 + 0.572977i) q^{94} +(2.41509 - 22.9781i) q^{95} +(-1.57279 + 0.725483i) q^{96} +(-6.13826 - 1.30473i) q^{97} +(-0.671427 + 0.487821i) q^{98} +(6.77130 + 11.0389i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 176 q + 22 q^{2} + 4 q^{3} + 22 q^{4} + 2 q^{5} - 7 q^{6} - 2 q^{7} - 44 q^{8} + 4 q^{9} - 4 q^{10} + 6 q^{11} - 7 q^{12} + 8 q^{14} + 3 q^{15} + 22 q^{16} + 20 q^{17} - 7 q^{18} - 12 q^{19} + 2 q^{20}+ \cdots + 23 q^{99}+O(q^{100}) $ 176 * q + 22 * q^2 + 4 * q^3 + 22 * q^4 + 2 * q^5 - 7 * q^6 - 2 * q^7 - 44 * q^8 + 4 * q^9 - 4 * q^10 + 6 * q^11 - 7 * q^12 + 8 * q^14 + 3 * q^15 + 22 * q^16 + 20 * q^17 - 7 * q^18 - 12 * q^19 + 2 * q^20 + 32 * q^21 - 4 * q^22 + 18 * q^23 - q^24 + 24 * q^25 - 20 * q^27 + 4 * q^28 - 3 * q^29 + 3 * q^30 + 8 * q^31 - 88 * q^32 - 15 * q^33 + 5 * q^34 + 8 * q^35 - 7 * q^36 - 20 * q^37 - 4 * q^38 + 16 * q^39 - 8 * q^40 - 5 * q^41 + 84 * q^42 + 41 * q^43 + 8 * q^44 - 39 * q^45 + 24 * q^46 - 9 * q^47 - 7 * q^48 + 16 * q^49 - 96 * q^50 - 18 * q^51 + 52 * q^53 + 5 * q^54 + 20 * q^55 - 2 * q^56 - 42 * q^57 - 3 * q^58 - 28 * q^59 + 14 * q^60 + 34 * q^61 - 16 * q^62 - 50 * q^63 - 44 * q^64 - 32 * q^65 - 3 * q^66 + 36 * q^67 + 10 * q^68 - 10 * q^69 - 34 * q^70 - 34 * q^71 - q^72 + 136 * q^73 + 10 * q^74 - 59 * q^75 + 6 * q^76 + 13 * q^77 - 23 * q^78 + 6 * q^79 - 4 * q^80 + 20 * q^81 - 20 * q^82 - 6 * q^83 - q^84 - 48 * q^85 - 14 * q^86 + 4 * q^87 - 4 * q^88 - 26 * q^89 + 6 * q^90 + 16 * q^91 - 12 * q^92 - 11 * q^93 + 6 * q^94 + 7 * q^95 - 2 * q^96 - 28 * q^97 - 72 * q^98 + 23 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/738\mathbb{Z}\right)^\times$.

$n$	$83$	$703$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{5}\right)$

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 $

$2$	0.913545	−	0.406737i	0.645974	−	0.287606i
$2$	0.913545	−	0.406737i	0.645974	−	0.287606i
$3$	0.158109	−	1.72482i	0.0912842	−	0.995825i
$3$	0.158109	−	1.72482i	0.0912842	−	0.995825i
$4$	0.669131	−	0.743145i	0.334565	−	0.371572i
$5$	2.01177	−	2.23430i	0.899692	−	0.999210i	−0.100298	−	0.994957i	$-0.531980\pi$
$5$	2.01177	−	2.23430i	0.899692	−	0.999210i	0.999991	−	0.00425235i	$-0.00135357\pi$
$6$	−0.557108	−	1.64001i	−0.227438	−	0.669531i
$7$	0.292492	+	2.78287i	0.110551	+	1.05183i	0.899366	+	0.437196i	$0.144028\pi$
$7$	0.292492	+	2.78287i	0.110551	+	1.05183i	−0.788815	+	0.614631i	$0.789305\pi$
$8$	0.309017	−	0.951057i	0.109254	−	0.336249i
$9$	−2.95000	−	0.545419i	−0.983334	−	0.181806i
$10$	0.929075	−	2.85940i	0.293799	−	0.904221i
$11$	−2.88847	−	3.20797i	−0.870906	−	0.967239i	0.128796	−	0.991671i	$-0.458889\pi$
$11$	−2.88847	−	3.20797i	−0.870906	−	0.967239i	−0.999701	+	0.0244324i	$0.992222\pi$
$12$	−1.17600	−	1.27163i	−0.339481	−	0.367087i
$13$	0.257899	−	2.45374i	0.0715282	−	0.680545i	−0.898735	−	0.438493i	$-0.855513\pi$
$13$	0.257899	−	2.45374i	0.0715282	−	0.680545i	0.970263	−	0.242053i	$-0.0778208\pi$
$14$	1.39910	+	2.42331i	0.373925	+	0.647658i
$15$	−3.53569	−	3.82321i	−0.912910	−	0.987148i
$16$	−0.104528	−	0.994522i	−0.0261321	−	0.248630i
$17$	−1.49597	+	4.60414i	−0.362827	+	1.11667i	0.588503	+	0.808495i	$0.299717\pi$
$17$	−1.49597	+	4.60414i	−0.362827	+	1.11667i	−0.951331	+	0.308172i	$0.900283\pi$
$18$	−2.91680	+	0.701610i	−0.687497	+	0.165371i
$19$	6.21712	−	4.51700i	1.42630	−	1.03627i	0.435614	−	0.900133i	$-0.356531\pi$
$19$	6.21712	−	4.51700i	1.42630	−	1.03627i	0.990690	−	0.136137i	$-0.0434688\pi$
$20$	−0.314270	−	2.99008i	−0.0702729	−	0.668602i
$21$	4.84620	−	0.0644983i	1.05753	−	0.0140747i
$22$	−3.94354	−	1.75578i	−0.840767	−	0.374333i
$23$	−0.375511	+	3.57275i	−0.0782994	+	0.744969i	0.882983	+	0.469405i	$0.155531\pi$
$23$	−0.375511	+	3.57275i	−0.0782994	+	0.744969i	−0.961283	+	0.275565i	$0.911135\pi$
$24$	−1.59154	−	0.683369i	−0.324872	−	0.139492i
$25$	−0.422225	−	4.01721i	−0.0844451	−	0.803441i
$26$	−0.762424	−	2.34650i	−0.149524	−	0.460187i
$27$	−1.40717	+	5.00199i	−0.270810	+	0.962633i
$28$	2.26379	+	1.64474i	0.427817	+	0.310827i
$29$	−6.93789	−	1.47469i	−1.28833	−	0.273844i	−0.487707	−	0.873007i	$-0.662167\pi$
$29$	−6.93789	−	1.47469i	−1.28833	−	0.273844i	−0.800627	+	0.599164i	$0.795500\pi$
$30$	−4.78505	−	2.05458i	−0.873626	−	0.375114i
$31$	9.17652	−	1.95053i	1.64815	−	0.350326i	0.712070	−	0.702108i	$-0.247758\pi$
$31$	9.17652	−	1.95053i	1.64815	−	0.350326i	0.936082	+	0.351782i	$0.114424\pi$
$32$	−0.500000	−	0.866025i	−0.0883883	−	0.153093i
$33$	−5.98986	+	4.47488i	−1.04270	+	0.778976i
$34$	0.506030	+	4.81456i	0.0867835	+	0.825690i
$35$	6.80620	+	4.94499i	1.15046	+	0.835857i
$36$	−2.37926	+	1.82732i	−0.396544	+	0.304554i
$37$	0.560728	+	1.72574i	0.0921831	+	0.283710i	0.986509	−	0.163705i	$-0.0523445\pi$
$37$	0.560728	+	1.72574i	0.0921831	+	0.283710i	−0.894326	+	0.447415i	$0.852345\pi$
$38$	3.84239	−	6.65521i	0.623318	−	1.07962i
$39$	−4.19148	−	0.832787i	−0.671175	−	0.133353i
$40$	−1.50327	−	2.60375i	−0.237689	−	0.411689i
$41$	3.19921	+	5.54662i	0.499633	+	0.866237i
$41$	3.19921	+	5.54662i	0.499633	+	0.866237i
$42$	4.40099	−	2.03005i	0.679087	−	0.313243i
$43$	1.48908	−	0.662982i	0.227083	−	0.101104i	−0.290041	−	0.957014i	$-0.593669\pi$
$43$	1.48908	−	0.662982i	0.227083	−	0.101104i	0.517124	+	0.855910i	$0.327002\pi$
$44$	−4.31675			−0.650774
$45$	−7.15337	+	5.49394i	−1.06636	+	0.818988i
$46$	1.11012	+	3.41660i	0.163678	+	0.503750i
$47$	−0.704358	+	0.313601i	−0.102741	+	0.0457433i	−0.457464	−	0.889228i	$-0.651242\pi$
$47$	−0.704358	+	0.313601i	−0.102741	+	0.0457433i	0.354722	+	0.934972i	$0.384575\pi$
$48$	−1.73190	+	0.0230499i	−0.249978	+	0.00332697i
$49$	−0.811794	+	0.172552i	−0.115971	+	0.0246503i
$50$	−2.01967	−	3.49817i	−0.285624	−	0.494715i
$51$	7.70478	+	3.30824i	1.07888	+	0.463246i
$52$	−1.65092	−	1.83353i	−0.228941	−	0.254265i
$53$	−2.62930	−	8.09216i	−0.361162	−	1.11154i	−0.952349	−	0.305009i	$-0.901341\pi$
$53$	−2.62930	−	8.09216i	−0.361162	−	1.11154i	0.591187	−	0.806534i	$-0.298659\pi$
$54$	0.748977	+	5.14189i	0.101923	+	0.699723i
$55$	−12.9785			−1.75002
$56$	2.73705	+	0.581779i	0.365754	+	0.0777435i
$57$	−6.80803	−	11.4376i	−0.901745	−	1.51494i
$58$	−6.93789	+	1.47469i	−0.910989	+	0.193637i
$59$	−0.0798670	+	0.759884i	−0.0103978	+	0.0989284i	−0.998490	−	0.0549349i	$-0.982505\pi$
$59$	−0.0798670	+	0.759884i	−0.0103978	+	0.0989284i	0.988092	+	0.153863i	$0.0491715\pi$
$60$	−5.20703	+	0.0693007i	−0.672225	+	0.00894668i
$61$	1.53790	+	14.6322i	0.196908	+	1.87345i	0.432543	+	0.901613i	$0.357616\pi$
$61$	1.53790	+	14.6322i	0.196908	+	1.87345i	−0.235635	+	0.971842i	$0.575717\pi$
$62$	7.58982	−	5.51433i	0.963908	−	0.700320i
$63$	0.654979	−	8.36901i	0.0825196	−	1.05440i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	−4.96356	−	5.51260i	−0.615654	−	0.683753i
$66$	−3.65191	+	6.52430i	−0.449519	+	0.803085i
$67$	4.22260	−	4.68967i	0.515873	−	0.572935i	−0.427776	−	0.903885i	$-0.640703\pi$
$67$	4.22260	−	4.68967i	0.515873	−	0.572935i	0.943648	+	0.330950i	$0.107369\pi$
$68$	2.42054	+	4.19250i	0.293533	+	0.508415i
$69$	6.10297	+	1.21257i	0.734711	+	0.145976i
$70$	8.22908	+	1.74915i	0.983564	+	0.209063i
$71$	−4.64438	+	14.2939i	−0.551187	+	1.69638i	0.154620	+	0.987974i	$0.450585\pi$
$71$	−4.64438	+	14.2939i	−0.551187	+	1.69638i	−0.705807	+	0.708404i	$0.749415\pi$
$72$	−1.43033	+	2.63708i	−0.168565	+	0.310782i
$73$	−15.4492			−1.80819			−0.904095	−	0.427331i	$-0.859454\pi$
$73$	−15.4492			−1.80819			−0.904095	+	0.427331i	$0.859454\pi$
$74$	1.21417	+	1.34848i	0.141145	+	0.156757i
$75$	−6.99571	+	0.0931063i	−0.807795	+	0.0107510i
$76$	0.803278	−	7.64268i	0.0921423	−	0.876676i
$77$	8.08251	−	8.97654i	0.921088	−	1.02297i
$78$	−4.16784	+	0.944042i	−0.471915	+	0.106892i
$79$	1.54668	−	2.67893i	0.174015	−	0.301403i	−0.765805	−	0.643073i	$-0.777659\pi$
$79$	1.54668	−	2.67893i	0.174015	−	0.301403i	0.939820	+	0.341670i	$0.110992\pi$
$80$	−2.43235	−	1.76720i	−0.271945	−	0.197580i
$81$	8.40504	+	3.21797i	0.933893	+	0.357553i
$82$	5.17864	+	3.76585i	0.571885	+	0.415869i
$83$	4.21960	−	7.30856i	0.463161	−	0.802219i	−0.535955	−	0.844246i	$-0.680048\pi$
$83$	4.21960	−	7.30856i	0.463161	−	0.802219i	0.999116	+	0.0420275i	$0.0133817\pi$
$84$	3.19481	−	3.64458i	0.348582	−	0.397657i
$85$	7.27747	+	12.6049i	0.789352	+	1.36720i
$86$	1.09069	−	1.21133i	0.117612	−	0.130621i
$87$	−3.64052	+	11.7334i	−0.390305	+	1.25796i
$88$	−3.94354	+	1.75578i	−0.420383	+	0.187167i
$89$	13.1464	−	9.55143i	1.39352	−	1.01245i	0.398048	−	0.917364i	$-0.369688\pi$
$89$	13.1464	−	9.55143i	1.39352	−	1.01245i	0.995469	−	0.0950854i	$-0.0303124\pi$
$90$	−4.30034	+	7.92850i	−0.453296	+	0.835737i
$91$	6.90388			0.723724
$92$	2.40380	+	2.66969i	0.250614	+	0.278335i
$93$	−1.91342	−	16.1362i	−0.198413	−	1.67325i
$94$	−0.515910	+	0.572977i	−0.0532121	+	0.0590980i
$95$	2.41509	−	22.9781i	0.247783	−	2.35750i
$96$	−1.57279	+	0.725483i	−0.160522	+	0.0740443i
$97$	−6.13826	−	1.30473i	−0.623245	−	0.132475i	−0.114544	−	0.993418i	$-0.536541\pi$
$97$	−6.13826	−	1.30473i	−0.623245	−	0.132475i	−0.508701	+	0.860943i	$0.669874\pi$
$98$	−0.671427	+	0.487821i	−0.0678244	+	0.0492773i
$99$	6.77130	+	11.0389i	0.680541	+	1.10946i
$100$	−3.26789	−	2.37426i	−0.326789	−	0.237426i
$101$	0.720571	+	6.85578i	0.0716995	+	0.682175i	0.970052	+	0.242899i	$0.0780984\pi$
$101$	0.720571	+	6.85578i	0.0716995	+	0.682175i	−0.898352	+	0.439276i	$0.855235\pi$
$102$	8.38425	−	0.111586i	0.830164	−	0.0110487i
$103$	17.7893	+	7.92029i	1.75283	+	0.780409i	0.991197	+	0.132398i	$0.0422676\pi$
$103$	17.7893	+	7.92029i	1.75283	+	0.780409i	0.761631	+	0.648011i	$0.224399\pi$
$104$	−2.25395	−	1.00352i	−0.221018	−	0.0984036i
$105$	9.60534	−	10.9576i	0.937386	−	1.06935i
$106$	−5.69336	−	6.32312i	−0.552988	−	0.614156i
$107$	3.30689	−	2.40260i	0.319689	−	0.232268i	−0.416354	−	0.909203i	$-0.636692\pi$
$107$	3.30689	−	2.40260i	0.319689	−	0.232268i	0.736043	+	0.676935i	$0.236692\pi$
$108$	2.77562	+	4.39271i	0.267084	+	0.422689i
$109$	12.5948			1.20636			0.603181	−	0.797605i	$-0.293900\pi$
$109$	12.5948			1.20636			0.603181	+	0.797605i	$0.293900\pi$
$110$	−11.8565	+	5.27883i	−1.13047	+	0.503317i
$111$	3.06525	−	0.694299i	0.290941	−	0.0658999i
$112$	2.73705	−	0.581779i	0.258627	−	0.0549729i
$113$	−9.20841	+	1.95731i	−0.866254	+	0.184128i	−0.619545	−	0.784961i	$-0.712683\pi$
$113$	−9.20841	+	1.95731i	−0.866254	+	0.184128i	−0.246710	+	0.969089i	$0.579349\pi$
$114$	−10.8715	−	7.67968i	−1.01821	−	0.719267i
$115$	7.22715	+	8.02656i	0.673935	+	0.748481i
$116$	−5.73826	+	4.16909i	−0.532784	+	0.387091i
$117$	−2.09912	+	7.09788i	−0.194064	+	0.656199i
$118$	0.236110	+	0.726673i	0.0217357	+	0.0668957i
$119$	−13.2503	−	2.81644i	−1.21465	−	0.258182i
$120$	−4.72867	+	2.18120i	−0.431667	+	0.199115i
$121$	−0.798002	+	7.59248i	−0.0725456	+	0.690226i
$122$	7.35637	+	12.7416i	0.666015	+	1.15357i
$123$	10.0727	−	4.64110i	0.908229	−	0.418473i
$124$	4.69077	−	8.12465i	0.421243	−	0.729615i
$125$	2.33668	+	1.69769i	0.208999	+	0.151846i
$126$	−2.80563	−	7.91188i	−0.249945	−	0.704846i
$127$	−0.242905	−	0.747584i	−0.0215543	−	0.0663373i	0.939701	−	0.341998i	$-0.111104\pi$
$127$	−0.242905	−	0.747584i	−0.0215543	−	0.0663373i	−0.961255	+	0.275660i	$0.911104\pi$
$128$	−0.978148	−	0.207912i	−0.0864569	−	0.0183770i
$129$	−0.908088	−	2.67322i	−0.0799526	−	0.235364i
$130$	−6.77662	−	3.01714i	−0.594348	−	0.264621i
$131$	9.54050	−	2.02790i	0.833558	−	0.177178i	0.228685	−	0.973500i	$-0.426557\pi$
$131$	9.54050	−	2.02790i	0.833558	−	0.177178i	0.604873	+	0.796322i	$0.293224\pi$
$132$	−0.682516	+	7.44561i	−0.0594054	+	0.648057i
$133$	14.3887	+	15.9803i	1.24766	+	1.38566i
$134$	1.95008	−	6.00171i	0.168461	−	0.518469i
$135$	8.34504	+	13.2069i	0.718226	+	1.13667i
$136$	3.91651	+	2.84551i	0.335838	+	0.244001i
$137$	−5.94833	+	10.3028i	−0.508200	+	0.880228i	0.491755	+	0.870734i	$0.336356\pi$
$137$	−5.94833	+	10.3028i	−0.508200	+	0.880228i	−0.999955	+	0.00949469i	$0.996978\pi$
$138$	6.06854	−	1.37456i	0.516588	−	0.117011i
$139$	0.660345	+	0.294004i	0.0560097	+	0.0249371i	0.434550	−	0.900648i	$-0.356907\pi$
$139$	0.660345	+	0.294004i	0.0560097	+	0.0249371i	−0.378541	+	0.925585i	$0.623574\pi$
$140$	8.22908	−	1.74915i	0.695485	−	0.147830i
$141$	0.429539	+	1.26447i	0.0361737	+	0.106488i
$142$	1.57101	+	14.9472i	0.131837	+	1.25434i
$143$	−8.61646	+	6.26022i	−0.720544	+	0.523506i
$144$	−0.234071	+	2.99085i	−0.0195060	+	0.249238i
$145$	−17.2524	+	12.5346i	−1.43273	+	1.04094i
$146$	−14.1135	+	6.28375i	−1.16804	+	0.520047i
$147$	0.169269	+	1.42748i	0.0139611	+	0.117737i
$148$	1.65768	+	0.738045i	0.136260	+	0.0606670i
$149$	−4.25153	+	4.72180i	−0.348299	+	0.386825i	−0.891684	−	0.452659i	$-0.850476\pi$
$149$	−4.25153	+	4.72180i	−0.348299	+	0.386825i	0.543385	+	0.839484i	$0.317142\pi$
$150$	−6.35303	+	2.93047i	−0.518723	+	0.239272i
$151$	−8.25228	+	3.67415i	−0.671561	+	0.298998i	−0.714046	−	0.700099i	$-0.753139\pi$
$151$	−8.25228	+	3.67415i	−0.671561	+	0.298998i	0.0424850	+	0.999097i	$0.486473\pi$
$152$	−2.37473	−	7.30866i	−0.192616	−	0.592810i
$153$	6.92431	−	12.7663i	0.559798	−	1.03209i
$154$	3.73266	−	11.4879i	0.300786	−	0.925724i
$155$	14.1030	−	24.4271i	1.13278	−	1.96204i
$156$	−3.42353	+	2.55764i	−0.274102	+	0.204775i
$157$	−3.86795	−	1.72212i	−0.308696	−	0.137440i	0.246541	−	0.969132i	$-0.420706\pi$
$157$	−3.86795	−	1.72212i	−0.308696	−	0.137440i	−0.555237	+	0.831692i	$0.687373\pi$
$158$	0.323344	−	3.07642i	0.0257239	−	0.244747i
$159$	−14.3732	+	3.25563i	−1.13987	+	0.258188i
$160$	−2.94085	−	0.625097i	−0.232494	−	0.0494182i
$161$	−10.0523			−0.792235
$162$	8.98725	−	0.478871i	0.706105	−	0.0376237i
$163$	−7.46387			−0.584615			−0.292308	−	0.956324i	$-0.594423\pi$
$163$	−7.46387			−0.584615			−0.292308	+	0.956324i	$0.594423\pi$
$164$	6.26264	+	1.33394i	0.489030	+	0.104163i
$165$	−2.05202	+	22.3856i	−0.159749	+	1.74272i
$166$	0.882137	−	8.39297i	0.0684671	−	0.651421i
$167$	2.71295	+	4.69897i	0.209934	+	0.363617i	0.951694	−	0.307049i	$-0.0993417\pi$
$167$	2.71295	+	4.69897i	0.209934	+	0.363617i	−0.741759	+	0.670666i	$0.766008\pi$
$168$	1.43622	−	4.62894i	0.110806	−	0.357130i
$169$	6.76158	+	1.43722i	0.520122	+	0.110555i
$170$	11.7752	+	8.55517i	0.903116	+	0.656152i
$171$	−20.8042	+	9.93423i	−1.59093	+	0.759690i
$172$	0.503699	−	1.55023i	0.0384067	−	0.118204i
$173$	−6.17754	+	10.6998i	−0.469670	+	0.813492i	−0.999399	−	0.0346753i	$-0.988960\pi$
$173$	−6.17754	+	10.6998i	−0.469670	+	0.813492i	0.529729	+	0.848167i	$0.322294\pi$
$174$	1.44664	+	12.1998i	0.109669	+	0.924862i
$175$	11.0559	−	2.35000i	0.835745	−	0.177643i
$176$	−2.88847	+	3.20797i	−0.217726	+	0.241810i
$177$	1.29803	+	0.257900i	0.0975662	+	0.0193850i
$178$	8.12493	−	14.0728i	0.608990	−	1.05480i
$179$	−3.82832	−	11.7824i	−0.286142	−	0.880656i	−0.986054	−	0.166426i	$-0.946777\pi$
$179$	−3.82832	−	11.7824i	−0.286142	−	0.880656i	0.699912	−	0.714229i	$-0.253223\pi$
$180$	−0.703747	+	8.99215i	−0.0524542	+	0.670235i
$181$	3.58818	−	11.0433i	0.266707	−	0.820840i	−0.724588	−	0.689182i	$-0.757970\pi$
$181$	3.58818	−	11.0433i	0.266707	−	0.820840i	0.991295	−	0.131658i	$-0.0420301\pi$
$182$	6.30701	−	2.80806i	0.467507	−	0.208147i
$183$	25.4810	−	0.339128i	1.88361	−	0.0250690i
$184$	3.28184	+	1.46117i	0.241941	+	0.107719i
$185$	4.98389	+	2.21897i	0.366423	+	0.163142i
$186$	−8.31120	−	13.9629i	−0.609407	−	1.02381i
$187$	19.0910	−	8.49986i	1.39607	−	0.621571i
$188$	−0.238257	+	0.733280i	−0.0173767	+	0.0534799i
$189$	−14.3315	−	2.45294i	−1.04246	−	0.178425i
$190$	−7.13973	−	21.9738i	−0.517971	−	1.59415i
$191$	9.90243	−	17.1515i	0.716514	−	1.24104i	−0.245858	−	0.969306i	$-0.579070\pi$
$191$	9.90243	−	17.1515i	0.716514	−	1.24104i	0.962373	−	0.271734i	$-0.0875970\pi$
$192$	−1.14174	+	1.30247i	−0.0823977	+	0.0939980i
$193$	−10.2368	+	11.3691i	−0.736858	+	0.818363i	−0.988779	−	0.149384i	$-0.952271\pi$
$193$	−10.2368	+	11.3691i	−0.736858	+	0.818363i	0.251922	+	0.967748i	$0.418937\pi$
$194$	−6.13826	+	1.30473i	−0.440701	+	0.0936739i
$195$	−10.2930	+	7.68966i	−0.737098	+	0.550668i
$196$	−0.414965	+	0.718740i	−0.0296404	+	0.0513386i
$197$	−7.58893	+	23.3563i	−0.540689	+	1.66407i	0.190337	+	0.981719i	$0.439042\pi$
$197$	−7.58893	+	23.3563i	−0.540689	+	1.66407i	−0.731026	+	0.682350i	$0.760958\pi$
$198$	10.6758	+	7.33044i	0.758698	+	0.520951i
$199$	−2.35441	−	1.71058i	−0.166900	−	0.121260i	0.501200	−	0.865331i	$-0.332892\pi$
$199$	−2.35441	−	1.71058i	−0.166900	−	0.121260i	−0.668100	+	0.744072i	$0.732892\pi$
$200$	−3.95106	−	0.839825i	−0.279382	−	0.0593846i
$201$	−7.42121	−	8.02470i	−0.523452	−	0.566019i
$202$	3.44677	+	5.96998i	0.242514	+	0.420046i
$203$	2.07461	−	19.7386i	0.145609	−	1.38538i
$204$	7.61401	−	3.51212i	0.533087	−	0.245898i
$205$	18.8289	+	4.01054i	1.31507	+	0.280108i
$206$	19.4728			1.35673
$207$	3.05640	−	10.3348i	0.212435	−	0.718318i
$208$	−2.46726			−0.171074
$209$	−32.4483	−	6.89710i	−2.24450	−	0.477083i
$210$	4.31805	−	13.9171i	0.297974	−	0.960373i
$211$	1.39059	−	13.2306i	0.0957324	−	0.910833i	−0.836254	−	0.548342i	$-0.815259\pi$
$211$	1.39059	−	13.2306i	0.0957324	−	0.910833i	0.931987	−	0.362492i	$-0.118074\pi$
$212$	−7.77299	−	3.46076i	−0.533851	−	0.237686i
$213$	23.9201	+	10.2707i	1.63898	+	0.703738i
$214$	2.04377	−	3.53991i	0.139709	−	0.241984i
$215$	1.51440	−	4.66083i	0.103281	−	0.317866i
$216$	4.32233	+	2.88400i	0.294097	+	0.196231i
$217$	8.11213	+	24.9666i	0.550687	+	1.69484i
$218$	11.5059	−	5.12276i	0.779278	−	0.346957i
$219$	−2.44265	+	26.6471i	−0.165059	+	1.80064i
$220$	−8.68432	+	9.64491i	−0.585497	+	0.650260i
$221$	10.9116	+	4.85814i	0.733990	+	0.326794i
$222$	2.51785	−	1.88102i	0.168987	−	0.126246i
$223$	−7.69558	+	3.42629i	−0.515334	+	0.229441i	−0.647890	−	0.761734i	$-0.724348\pi$
$223$	−7.69558	+	3.42629i	−0.515334	+	0.229441i	0.132556	+	0.991176i	$0.457682\pi$
$224$	2.26379	−	1.64474i	0.151256	−	0.109894i
$225$	−0.945493	+	12.0811i	−0.0630329	+	0.805404i
$226$	−7.61619	+	5.53349i	−0.506622	+	0.368082i
$227$	0.422364	+	4.01853i	0.0280333	+	0.266719i	0.999557	+	0.0297750i	$0.00947908\pi$
$227$	0.422364	+	4.01853i	0.0280333	+	0.266719i	−0.971523	+	0.236944i	$0.923854\pi$
$228$	−13.0552	−	2.59389i	−0.864604	−	0.171784i
$229$	−14.8376	+	3.15384i	−0.980498	+	0.208411i	−0.670161	−	0.742215i	$-0.733775\pi$
$229$	−14.8376	+	3.15384i	−0.980498	+	0.208411i	−0.310337	+	0.950627i	$0.600442\pi$
$230$	9.86703	+	4.39308i	0.650612	+	0.289671i
$231$	−14.2050	−	15.3601i	−0.934620	−	1.01062i
$232$	−3.54644	+	6.14262i	−0.232835	+	0.403283i
$233$	−10.6229	−	7.71802i	−0.695932	−	0.505624i	0.182673	−	0.983174i	$-0.441525\pi$
$233$	−10.6229	−	7.71802i	−0.695932	−	0.505624i	−0.878605	+	0.477550i	$0.841525\pi$
$234$	0.969329	+	7.33803i	0.0633670	+	0.479702i
$235$	−0.716331	+	2.20464i	−0.0467283	+	0.143815i
$236$	0.511262	+	0.567814i	0.0332803	+	0.0369615i
$237$	−4.37613	−	3.09131i	−0.284260	−	0.200802i
$238$	−13.2503	+	2.81644i	−0.858888	+	0.182562i
$239$	−2.76151	−	1.22950i	−0.178627	−	0.0795300i	0.315474	−	0.948934i	$-0.397836\pi$
$239$	−2.76151	−	1.22950i	−0.178627	−	0.0795300i	−0.494102	+	0.869404i	$0.664503\pi$
$240$	−3.43269	+	3.91595i	−0.221579	+	0.252774i
$241$	17.0029	+	3.61407i	1.09525	+	0.232803i	0.719898	−	0.694079i	$-0.244188\pi$
$241$	17.0029	+	3.61407i	1.09525	+	0.232803i	0.375352	+	0.926882i	$0.377522\pi$
$242$	2.35913	+	7.26065i	0.151651	+	0.466733i
$243$	6.87933	−	13.9884i	0.441309	−	0.897355i
$244$	11.9029	+	8.64794i	0.762003	+	0.553627i
$245$	−1.24761	+	2.16093i	−0.0797070	+	0.138057i
$246$	7.31421	−	8.33681i	0.466337	−	0.531535i
$247$	−9.48016	−	16.4201i	−0.603208	−	1.04479i
$248$	0.980637	−	9.33014i	0.0622705	−	0.592464i
$249$	−11.9388	−	8.43360i	−0.756590	−	0.534458i
$250$	2.82517	+	0.600509i	0.178680	+	0.0379795i
$251$	−0.367862	−	1.13216i	−0.0232193	−	0.0714615i	0.938775	−	0.344530i	$-0.111962\pi$
$251$	−0.367862	−	1.13216i	−0.0232193	−	0.0714615i	−0.961995	+	0.273068i	$0.911962\pi$
$252$	−5.78112	−	6.08671i	−0.364176	−	0.383426i
$253$	12.5459	−	9.11514i	0.788754	−	0.573064i
$254$	−0.525974	−	0.584154i	−0.0330026	−	0.0366531i
$255$	22.8919	−	10.5594i	1.43354	−	0.661253i
$256$	−0.978148	+	0.207912i	−0.0611342	+	0.0129945i
$257$	2.04093	−	0.433813i	0.127310	−	0.0270605i	−0.143816	−	0.989604i	$-0.545937\pi$
$257$	2.04093	−	0.433813i	0.127310	−	0.0270605i	0.271126	+	0.962544i	$0.412604\pi$
$258$	−1.91688	−	2.07276i	−0.119340	−	0.129044i
$259$	−4.63851	+	2.06520i	−0.288223	+	0.128325i
$260$	−7.41793			−0.460040
$261$	19.6625	+	8.13440i	1.21708	+	0.503507i
$262$	7.89086	−	5.73305i	0.487499	−	0.354189i
$263$	1.06967	+	1.18799i	0.0659588	+	0.0732547i	0.775221	−	0.631690i	$-0.217638\pi$
$263$	1.06967	+	1.18799i	0.0659588	+	0.0732547i	−0.709262	+	0.704945i	$0.750972\pi$
$264$	2.40489	+	7.07951i	0.148011	+	0.435713i
$265$	−23.3699	−	10.4049i	−1.43560	−	0.639170i
$266$	19.6445	+	8.74628i	1.20448	+	0.536269i
$267$	−14.3959	−	24.1854i	−0.881017	−	1.48012i
$268$	−0.659635	−	6.27601i	−0.0402936	−	0.383368i
$269$	−12.5370	−	9.10868i	−0.764396	−	0.555366i	0.135860	−	0.990728i	$-0.456620\pi$
$269$	−12.5370	−	9.10868i	−0.764396	−	0.555366i	−0.900256	+	0.435362i	$0.856620\pi$
$270$	12.9953	+	8.67088i	0.790869	+	0.527693i
$271$	−2.74395	+	1.99360i	−0.166683	+	0.121102i	−0.668000	−	0.744162i	$-0.732849\pi$
$271$	−2.74395	+	1.99360i	−0.166683	+	0.121102i	0.501317	+	0.865264i	$0.332849\pi$
$272$	4.73529	+	1.00652i	0.287119	+	0.0610290i
$273$	1.09157	−	11.9080i	0.0660645	−	0.720702i
$274$	−1.24354	+	11.8315i	−0.0751250	+	0.714766i
$275$	−11.6675	+	12.9581i	−0.703576	+	0.781400i
$276$	4.98480	−	3.72402i	0.300050	−	0.224160i
$277$	−11.4255	−	12.6893i	−0.686491	−	0.762425i	0.294674	−	0.955598i	$-0.404789\pi$
$277$	−11.4255	−	12.6893i	−0.686491	−	0.762425i	−0.981165	+	0.193172i	$0.938122\pi$
$278$	0.722837			0.0433529
$279$	−28.1346	+	0.749023i	−1.68438	+	0.0448429i
$280$	6.80620	−	4.94499i	0.406748	−	0.295520i
$281$	−11.4266	+	5.08745i	−0.681653	+	0.303492i	−0.718196	−	0.695840i	$-0.755032\pi$
$281$	−11.4266	+	5.08745i	−0.681653	+	0.303492i	0.0365430	+	0.999332i	$0.488365\pi$
$282$	0.906711	+	0.980445i	0.0539939	+	0.0583847i
$283$	−5.71977	+	6.35245i	−0.340005	+	0.377614i	−0.888763	−	0.458367i	$-0.848434\pi$
$283$	−5.71977	+	6.35245i	−0.340005	+	0.377614i	0.548757	+	0.835982i	$0.315101\pi$
$284$	7.51477	+	13.0160i	0.445919	+	0.772355i
$285$	−39.2512	−	7.79864i	−2.32504	−	0.461952i
$286$	−5.32526	+	9.22363i	−0.314889	+	0.545404i
$287$	−14.4998	+	10.5253i	−0.855896	+	0.621291i
$288$	1.00266	+	2.82749i	0.0590820	+	0.166611i
$289$	−5.20685	−	3.78300i	−0.306285	−	0.222529i
$290$	−10.6626	+	18.4681i	−0.626127	+	1.08448i
$291$	−3.22093	+	10.3811i	−0.188814	+	0.608550i
$292$	−10.3375	+	11.4810i	−0.604958	+	0.671874i
$293$	2.33792	−	22.2438i	0.136583	−	1.29950i	−0.684636	−	0.728885i	$-0.740039\pi$
$293$	2.33792	−	22.2438i	0.136583	−	1.29950i	0.821219	−	0.570613i	$-0.193295\pi$
$294$	0.735244	+	1.23522i	0.0428803	+	0.0720395i
$295$	1.53713	+	1.70716i	0.0894954	+	0.0993947i
$296$	1.81455			0.105469
$297$	20.1108	−	9.93392i	1.16695	−	0.576424i
$298$	−1.96344	+	6.04283i	−0.113739	+	0.350052i
$299$	8.66975	+	1.84281i	0.501385	+	0.106573i
$300$	−4.61185	+	5.26113i	−0.266265	+	0.303751i
$301$	2.28054	+	3.95001i	0.131448	+	0.227675i
$302$	−6.04442	+	6.71301i	−0.347817	+	0.386290i
$303$	11.9389	−	0.158896i	0.685872	−	0.00912831i
$304$	−5.14212	−	5.71090i	−0.294921	−	0.327543i
$305$	35.7865	+	26.0004i	2.04913	+	1.48878i
$306$	1.13316	−	14.4790i	0.0647783	−	0.827707i
$307$	−12.2264	+	8.88299i	−0.697797	+	0.506979i	−0.879214	−	0.476427i	$-0.841932\pi$
$307$	−12.2264	+	8.88299i	−0.697797	+	0.506979i	0.181417	+	0.983406i	$0.441932\pi$
$308$	−1.26261	−	12.0130i	−0.0719440	−	0.684502i
$309$	16.4737	−	29.4310i	0.937156	−	1.67427i
$310$	2.94833	−	28.0515i	0.167454	−	1.59322i
$311$	3.67585	−	0.781325i	0.208438	−	0.0443049i	−0.102509	−	0.994732i	$-0.532687\pi$
$311$	3.67585	−	0.781325i	0.208438	−	0.0443049i	0.310947	+	0.950427i	$0.399354\pi$
$312$	−2.08727	+	3.72899i	−0.118168	+	0.211113i
$313$	−27.4327	−	5.83100i	−1.55059	−	0.329588i	−0.648526	−	0.761193i	$-0.724614\pi$
$313$	−27.4327	−	5.83100i	−1.55059	−	0.329588i	−0.902063	+	0.431605i	$0.857948\pi$
$314$	−4.23400			−0.238938
$315$	−17.3812	−	18.3000i	−0.979321	−	1.03109i
$316$	−0.955902	−	2.94196i	−0.0537737	−	0.165498i
$317$	8.12761	+	9.02663i	0.456492	+	0.506986i	0.926820	−	0.375506i	$-0.122531\pi$
$317$	8.12761	+	9.02663i	0.456492	+	0.506986i	−0.470328	+	0.882492i	$0.655864\pi$
$318$	−11.8064	+	8.82028i	−0.662071	+	0.494617i
$319$	15.3091	+	26.5161i	0.857145	+	1.48462i
$320$	−2.94085	+	0.625097i	−0.164398	+	0.0349440i
$321$	−3.62120	−	6.08366i	−0.202115	−	0.339557i
$322$	−9.18326	+	4.08865i	−0.511763	+	0.227852i
$323$	11.4962	+	35.3818i	0.639668	+	1.96869i
$324$	8.01549	−	4.09292i	0.445305	−	0.227384i
$325$	−9.96608			−0.552818
$326$	−6.81858	+	3.03583i	−0.377646	+	0.168139i
$327$	1.99135	−	21.7237i	0.110122	−	1.20132i
$328$	6.26376	−	1.32863i	0.345858	−	0.0733615i
$329$	−1.07873	−	1.86841i	−0.0594723	−	0.103009i
$330$	7.23042	+	21.2849i	0.398022	+	1.17169i
$331$	−4.35149	+	7.53701i	−0.239180	+	0.414272i	−0.960479	−	0.278352i	$-0.910212\pi$
$331$	−4.35149	+	7.53701i	−0.239180	+	0.414272i	0.721299	+	0.692623i	$0.243545\pi$
$332$	−2.60786	−	8.02616i	−0.143125	−	0.440493i
$333$	−0.712897	−	5.39678i	−0.0390665	−	0.295742i
$334$	4.38964	+	3.18926i	0.240191	+	0.174509i
$335$	−1.98322	−	18.8691i	−0.108355	−	1.03093i
$336$	−0.570711	−	4.81291i	−0.0311348	−	0.262566i
$337$	17.9336	+	31.0619i	0.976905	+	1.69205i	0.673499	+	0.739188i	$0.264791\pi$
$337$	17.9336	+	31.0619i	0.976905	+	1.69205i	0.303406	+	0.952861i	$0.401876\pi$
$338$	6.76158	−	1.43722i	0.367782	−	0.0781744i
$339$	1.92007	+	16.1923i	0.104284	+	0.879446i
$340$	14.2369	+	3.02614i	0.772103	+	0.164115i
$341$	−32.7633	−	23.8040i	−1.77423	−	1.28906i
$342$	−14.9649	+	17.5372i	−0.809211	+	0.948303i
$343$	5.33521	+	16.4201i	0.288074	+	0.886601i
$344$	−0.170382	−	1.62107i	−0.00918637	−	0.0874025i
$345$	14.9870	−	11.1965i	0.806875	−	0.602797i
$346$	−1.29146	+	12.2874i	−0.0694292	+	0.660574i
$347$	−5.11417	−	2.27698i	−0.274543	−	0.122234i	0.264847	−	0.964290i	$-0.414679\pi$
$347$	−5.11417	−	2.27698i	−0.274543	−	0.122234i	−0.539390	+	0.842056i	$0.681345\pi$
$348$	6.28366	+	10.5566i	0.336840	+	0.565895i
$349$	−1.03042	−	9.80381i	−0.0551572	−	0.524786i	−0.986862	−	0.161568i	$-0.948345\pi$
$349$	−1.03042	−	9.80381i	−0.0551572	−	0.524786i	0.931704	−	0.363218i	$-0.118322\pi$
$350$	9.14421	−	6.64366i	0.488779	−	0.355119i
$351$	11.9107	+	4.74284i	0.635745	+	0.253154i
$352$	−1.33395	+	4.10547i	−0.0710997	+	0.218822i
$353$	−2.30594	−	21.9396i	−0.122733	−	1.16773i	−0.866461	−	0.499245i	$-0.833611\pi$
$353$	−2.30594	−	21.9396i	−0.122733	−	1.16773i	0.743728	−	0.668482i	$-0.233056\pi$
$354$	1.29071	−	0.292354i	0.0686005	−	0.0155385i
$355$	22.5935	+	39.1331i	1.19914	+	2.07697i
$356$	1.69857	−	16.1608i	0.0900242	−	0.856523i
$357$	−6.95283	+	22.4090i	−0.367983	+	1.18601i
$358$	−8.28967	−	9.20661i	−0.438123	−	0.486584i
$359$	8.99657	−	27.6886i	0.474821	−	1.46135i	−0.371378	−	0.928482i	$-0.621115\pi$
$359$	8.99657	−	27.6886i	0.474821	−	1.46135i	0.846199	−	0.532867i	$-0.178885\pi$
$360$	3.01453	+	8.50098i	0.158880	+	0.448041i
$361$	12.3779	−	38.0953i	0.651470	−	2.00502i
$362$	−1.21374	−	11.5480i	−0.0637929	−	0.606948i
$363$	12.9695	+	2.57685i	0.680722	+	0.135249i
$364$	4.61960	−	5.13058i	0.242133	−	0.268916i
$365$	−31.0803	+	34.5181i	−1.62682	+	1.80676i
$366$	23.1401	−	10.6739i	1.20955	−	0.557931i
$367$	−1.90035	+	0.846092i	−0.0991977	+	0.0441656i	−0.455736	−	0.890115i	$-0.650624\pi$
$367$	−1.90035	+	0.846092i	−0.0991977	+	0.0441656i	0.356538	+	0.934281i	$0.383957\pi$
$368$	3.59243			0.187268
$369$	−6.41246	−	18.1075i	−0.333819	−	0.942637i
$370$	5.45554			0.283620
$371$	21.7504	−	9.68390i	1.12922	−	0.502763i
$372$	−13.2719	−	9.37530i	−0.688116	−	0.486087i
$373$	2.59192	−	2.87862i	0.134205	−	0.149049i	−0.672296	−	0.740282i	$-0.734692\pi$
$373$	2.59192	−	2.87862i	0.134205	−	0.149049i	0.806501	+	0.591233i	$0.201359\pi$
$374$	13.9833	−	15.5300i	0.723059	−	0.803038i
$375$	3.29767	−	3.76192i	0.170291	−	0.194265i
$376$	0.0805931	+	0.766792i	0.00415627	+	0.0395443i
$377$	−5.40779	+	16.6435i	−0.278515	+	0.857182i
$378$	−14.0902	+	3.58827i	−0.724719	+	0.184561i
$379$	−9.15587	+	28.1789i	−0.470306	+	1.44745i	0.381880	+	0.924212i	$0.375277\pi$
$379$	−9.15587	+	28.1789i	−0.470306	+	1.44745i	−0.852186	+	0.523240i	$0.824723\pi$
$380$	−15.4600	−	17.1701i	−0.793083	−	0.880808i
$381$	−1.32785	+	0.300767i	−0.0680279	+	0.0154088i
$382$	2.07017	−	19.6964i	0.105919	−	1.00775i
$383$	6.71306	+	11.6274i	0.343021	+	0.594130i	0.984992	−	0.172599i	$-0.0552164\pi$
$383$	6.71306	+	11.6274i	0.343021	+	0.594130i	−0.641971	+	0.766729i	$0.721883\pi$
$384$	−0.513264	+	1.65426i	−0.0261924	+	0.0844184i
$385$	−3.79611	−	36.1175i	−0.193467	−	1.84072i
$386$	−4.72752	+	14.5498i	−0.240625	+	0.740566i
$387$	−4.75440	+	1.14363i	−0.241680	+	0.0581338i
$388$	−5.07690	+	3.68858i	−0.257740	+	0.187259i
$389$	1.80288	+	17.1533i	0.0914097	+	0.869706i	0.940119	+	0.340846i	$0.110713\pi$
$389$	1.80288	+	17.1533i	0.0914097	+	0.869706i	−0.848709	+	0.528860i	$0.822620\pi$
$390$	−6.27547	+	11.2114i	−0.317771	+	0.567711i
$391$	−15.8877	−	7.07364i	−0.803474	−	0.357729i
$392$	−0.0867513	+	0.825384i	−0.00438160	+	0.0416882i
$393$	−1.98932	−	16.7763i	−0.100348	−	0.846251i
$394$	2.56704	+	24.4238i	0.129326	+	1.23045i
$395$	−2.87396	−	8.84515i	−0.144605	−	0.445048i
$396$	12.7344	+	2.35443i	0.639929	+	0.118315i
$397$	−17.9407	−	13.0347i	−0.900417	−	0.654191i	0.0381560	−	0.999272i	$-0.487852\pi$
$397$	−17.9407	−	13.0347i	−0.900417	−	0.654191i	−0.938573	+	0.345080i	$0.887852\pi$
$398$	−2.84662	−	0.605067i	−0.142688	−	0.0303293i
$399$	29.8380	−	22.2913i	1.49377	−	1.11596i
$400$	−3.95106	+	0.839825i	−0.197553	+	0.0419912i
$401$	−7.78692	−	13.4873i	−0.388860	−	0.673526i	0.603436	−	0.797411i	$-0.293798\pi$
$401$	−7.78692	−	13.4873i	−0.388860	−	0.673526i	−0.992297	+	0.123886i	$0.960464\pi$
$402$	−10.0435	−	4.31245i	−0.500927	−	0.215086i
$403$	−2.41948	−	23.0199i	−0.120523	−	1.14670i
$404$	5.57699	+	4.05192i	0.277466	+	0.201591i
$405$	24.0990	−	12.3055i	1.19749	−	0.611468i
$406$	−6.13316	−	18.8759i	−0.304384	−	0.936796i
$407$	3.91648	−	6.78355i	0.194133	−	0.336248i
$408$	5.52723	−	6.30538i	0.273639	−	0.312163i
$409$	2.21404	+	3.83483i	0.109477	+	0.189620i	0.915559	−	0.402185i	$-0.131749\pi$
$409$	2.21404	+	3.83483i	0.109477	+	0.189620i	−0.806081	+	0.591805i	$0.798416\pi$
$410$	18.8323	−	3.99460i	0.930061	−	0.197279i
$411$	16.8300	+	11.8888i	0.830163	+	0.586429i
$412$	17.7893	−	7.92029i	0.876414	−	0.390204i
$413$	−2.13802			−0.105205
$414$	−1.41138	−	10.6845i	−0.0693657	−	0.525113i
$415$	−7.84065	−	24.1310i	−0.384882	−	1.18455i
$416$	−2.25395	+	1.00352i	−0.110509	+	0.0492018i
$417$	0.611511	−	1.09249i	0.0299458	−	0.0534995i
$418$	−32.4483	+	6.89710i	−1.58710	+	0.337348i
$419$	−5.17737	−	8.96747i	−0.252931	−	0.438090i	0.711400	−	0.702787i	$-0.248061\pi$
$419$	−5.17737	−	8.96747i	−0.252931	−	0.438090i	−0.964332	+	0.264697i	$0.914728\pi$
$420$	−1.71587	−	14.4702i	−0.0837258	−	0.706075i
$421$	−8.85119	−	9.83024i	−0.431381	−	0.479097i	0.487787	−	0.872962i	$-0.337804\pi$
$421$	−8.85119	−	9.83024i	−0.431381	−	0.479097i	−0.919168	+	0.393866i	$0.871137\pi$
$422$	−4.11101	−	12.6524i	−0.200121	−	0.615908i
$423$	2.24890	−	0.540952i	0.109345	−	0.0263020i
$424$	−8.50860			−0.413214
$425$	19.1274	+	4.06566i	0.927815	+	0.197213i
$426$	26.0296	−	0.346430i	1.26114	−	0.0167846i
$427$	−40.2696	+	8.55956i	−1.94878	+	0.414226i
$428$	0.427264	−	4.06515i	0.0206526	−	0.196496i
$429$	9.43541	+	15.8516i	0.455546	+	0.765324i
$430$	−0.512261	−	4.87384i	−0.0247034	−	0.235037i
$431$	−23.4300	+	17.0229i	−1.12859	+	0.819965i	−0.985488	−	0.169743i	$-0.945706\pi$
$431$	−23.4300	+	17.0229i	−1.12859	+	0.819965i	−0.143097	+	0.989709i	$0.545706\pi$
$432$	5.12167	+	0.876612i	0.246417	+	0.0421760i
$433$	−8.52928	−	6.19689i	−0.409891	−	0.297803i	0.363667	−	0.931529i	$-0.381525\pi$
$433$	−8.52928	−	6.19689i	−0.409891	−	0.297803i	−0.773558	+	0.633726i	$0.781525\pi$
$434$	17.5656	+	19.5086i	0.843177	+	0.936443i
$435$	18.8921	+	31.7390i	0.905808	+	1.52177i
$436$	8.42755	−	9.35975i	0.403607	−	0.448251i
$437$	13.8035	+	23.9084i	0.660311	+	1.14369i
$438$	8.60686	+	25.3368i	0.411252	+	1.21064i
$439$	0.225869	+	0.0480098i	0.0107801	+	0.00229138i	0.213299	−	0.976987i	$-0.431579\pi$
$439$	0.225869	+	0.0480098i	0.0107801	+	0.00229138i	−0.202518	+	0.979278i	$0.564913\pi$
$440$	−4.01058	+	12.3433i	−0.191197	+	0.588444i
$441$	2.48891	−	0.0662618i	0.118519	−	0.00315532i
$442$	11.9442			0.568127
$443$	2.11219	+	2.34583i	0.100353	+	0.111454i	0.791229	−	0.611520i	$-0.209442\pi$
$443$	2.11219	+	2.34583i	0.100353	+	0.111454i	−0.690876	+	0.722973i	$0.742775\pi$
$444$	1.53509	−	2.74250i	0.0728521	−	0.130153i
$445$	5.10684	−	48.5884i	0.242088	−	2.30331i
$446$	−5.63666	+	6.26015i	−0.266904	+	0.296427i
$447$	7.47205	+	8.07968i	0.353416	+	0.382156i
$448$	1.39910	−	2.42331i	0.0661013	−	0.114491i
$449$	3.62047	+	2.63043i	0.170861	+	0.124138i	0.669929	−	0.742425i	$-0.266324\pi$
$449$	3.62047	+	2.63043i	0.170861	+	0.124138i	−0.499069	+	0.866562i	$0.666324\pi$
$450$	4.05006	+	11.4212i	0.190922	+	0.538399i
$451$	8.55256	−	26.2842i	0.402725	−	1.23768i
$452$	−4.70707	+	8.15288i	−0.221402	+	0.383479i
$453$	5.03249	+	14.8146i	0.236447	+	0.696051i
$454$	2.02033	+	3.49931i	0.0948188	+	0.164231i
$455$	13.8890	−	15.4254i	0.651129	−	0.723152i
$456$	−12.9816	+	2.94041i	−0.607918	+	0.137697i
$457$	−34.5344	+	15.3757i	−1.61545	+	0.719245i	−0.997742	−	0.0671629i	$-0.978605\pi$
$457$	−34.5344	+	15.3757i	−1.61545	+	0.719245i	−0.617708	+	0.786408i	$0.711939\pi$
$458$	−12.2721	+	8.91618i	−0.573436	+	0.416626i
$459$	−20.9247	−	13.9617i	−0.976683	−	0.651674i
$460$	10.8008			0.503590
$461$	−14.5429	−	16.1515i	−0.677328	−	0.752249i	0.302268	−	0.953223i	$-0.402256\pi$
$461$	−14.5429	−	16.1515i	−0.677328	−	0.752249i	−0.979597	+	0.200974i	$0.935589\pi$
$462$	−19.2244	−	8.25450i	−0.894402	−	0.384034i
$463$	−3.75369	+	4.16890i	−0.174449	+	0.193745i	−0.824028	−	0.566549i	$-0.808278\pi$
$463$	−3.75369	+	4.16890i	−0.174449	+	0.193745i	0.649579	+	0.760294i	$0.274945\pi$
$464$	−0.741408	+	7.05403i	−0.0344190	+	0.327475i
$465$	−39.9026	−	28.1873i	−1.85044	−	1.30715i
$466$	−12.8437	−	2.73002i	−0.594975	−	0.126466i
$467$	−14.9631	+	10.8713i	−0.692408	+	0.503064i	−0.877451	−	0.479667i	$-0.840758\pi$
$467$	−14.9631	+	10.8713i	−0.692408	+	0.503064i	0.185043	+	0.982730i	$0.440758\pi$
$468$	3.87017	+	6.30936i	0.178899	+	0.291650i
$469$	14.2858	+	10.3793i	0.659659	+	0.479270i
$470$	0.242307	+	2.30540i	0.0111768	+	0.106340i
$471$	−3.58191	+	6.39923i	−0.165046	+	0.294861i
$472$	0.698012	+	0.310775i	0.0321286	+	0.0143046i
$473$	−6.42799	−	2.86193i	−0.295559	−	0.131592i
$474$	−5.25514	−	1.04412i	−0.241377	−	0.0479580i
$475$	−20.7707	−	23.0682i	−0.953027	−	1.05844i
$476$	−10.9592	+	7.96232i	−0.502314	+	0.364952i
$477$	3.34283	+	25.3060i	0.153058	+	1.15868i
$478$	−3.02285			−0.138262
$479$	1.63298	−	0.727049i	0.0746127	−	0.0332197i	−0.369091	−	0.929393i	$-0.620331\pi$
$479$	1.63298	−	0.727049i	0.0746127	−	0.0332197i	0.443704	+	0.896174i	$0.353664\pi$
$480$	−1.54315	+	4.97360i	−0.0704350	+	0.227013i
$481$	4.37914	−	0.930815i	0.199672	−	0.0424415i
$482$	17.0029	−	3.61407i	0.774459	−	0.164616i
$483$	−1.58936	+	17.3385i	−0.0723185	+	0.788927i
$484$	5.10835	+	5.67339i	0.232198	+	0.257882i
$485$	−15.2639	+	11.0899i	−0.693099	+	0.503566i
$486$	0.594998	−	15.5771i	0.0269897	−	0.706592i
$487$	−8.01914	−	24.6804i	−0.363382	−	1.11837i	−0.950988	−	0.309227i	$-0.899930\pi$
$487$	−8.01914	−	24.6804i	−0.363382	−	1.11837i	0.587606	−	0.809147i	$-0.300070\pi$
$488$	14.3912	+	3.05895i	0.651461	+	0.138472i
$489$	−1.18010	+	12.8738i	−0.0533662	+	0.582174i
$490$	−0.260822	+	2.48156i	−0.0117827	+	0.112105i
$491$	0.598918	+	1.03736i	0.0270288	+	0.0468152i	0.879223	−	0.476410i	$-0.158062\pi$
$491$	0.598918	+	1.03736i	0.0270288	+	0.0468152i	−0.852195	+	0.523225i	$0.824729\pi$
$492$	3.29098	−	10.5910i	0.148369	−	0.477480i
$493$	17.1686	−	29.7369i	0.773235	−	1.33928i
$494$	−15.3392	−	11.1446i	−0.690144	−	0.501419i
$495$	38.2866	+	7.07872i	1.72086	+	0.318165i
$496$	−2.89905	−	8.92237i	−0.130171	−	0.400626i
$497$	−41.1366	−	8.74386i	−1.84523	−	0.392216i
$498$	−14.3369	−	2.84853i	−0.642451	−	0.127646i
$499$	−27.4780	−	12.2340i	−1.23008	−	0.547669i	−0.314294	−	0.949326i	$-0.601768\pi$
$499$	−27.4780	−	12.2340i	−1.23008	−	0.547669i	−0.915790	+	0.401657i	$0.868435\pi$
$500$	2.82517	−	0.600509i	0.126346	−	0.0268556i
$501$	8.53381	−	3.93640i	0.381262	−	0.175865i
$502$	−0.796551	−	0.884660i	−0.0355518	−	0.0394843i
$503$	−10.8029	+	33.2480i	−0.481679	+	1.48246i	0.355055	+	0.934846i	$0.384462\pi$
$503$	−10.8029	+	33.2480i	−0.481679	+	1.48246i	−0.836734	+	0.547610i	$0.815538\pi$
$504$	−7.75700	−	3.20909i	−0.345524	−	0.142944i
$505$	16.7675	+	12.1823i	0.746144	+	0.542105i
$506$	7.75380	−	13.4300i	0.344698	−	0.597035i
$507$	3.54801	−	11.4353i	0.157573	−	0.507858i
$508$	−0.718098	−	0.319718i	−0.0318604	−	0.0141852i
$509$	−18.6971	+	3.97418i	−0.828733	+	0.176153i	−0.602701	−	0.797967i	$-0.705909\pi$
$509$	−18.6971	+	3.97418i	−0.828733	+	0.176153i	−0.226032	+	0.974120i	$0.572575\pi$
$510$	16.6179	−	18.9574i	0.735853	−	0.839449i
$511$	−4.51876	−	42.9931i	−0.199898	−	1.90190i
$512$	−0.809017	+	0.587785i	−0.0357538	+	0.0259767i
$513$	13.8454	+	37.4541i	0.611291	+	1.65364i
$514$	1.68803	−	1.22643i	0.0744559	−	0.0540954i
$515$	53.4843	−	23.8127i	2.35680	−	1.04931i
$516$	−2.59422	−	1.11389i	−0.114204	−	0.0490365i
$517$	3.04054	+	1.35373i	0.133723	+	0.0595372i
$518$	−3.39750	+	3.77331i	−0.149278	+	0.165790i
$519$	17.4785	+	12.3469i	0.767222	+	0.541968i
$520$	−6.77662	+	3.01714i	−0.297174	+	0.132310i
$521$	4.08387	+	12.5689i	0.178918	+	0.550651i	0.999791	−	0.0204590i	$-0.00651276\pi$
$521$	4.08387	+	12.5689i	0.178918	+	0.550651i	−0.820873	+	0.571111i	$0.806513\pi$
$522$	21.2711	−	0.566297i	0.931011	−	0.0247862i
$523$	−5.43345	+	16.7224i	−0.237588	+	0.731221i	0.759179	+	0.650881i	$0.225601\pi$
$523$	−5.43345	+	16.7224i	−0.237588	+	0.731221i	−0.996768	+	0.0803397i	$0.974399\pi$
$524$	4.87682	−	8.44690i	0.213045	−	0.369005i
$525$	−2.30529	−	19.4409i	−0.100611	−	0.848472i
$526$	1.46039	+	0.650209i	0.0636762	+	0.0283505i
$527$	−4.74734	+	45.1679i	−0.206797	+	1.96755i
$528$	5.07647	+	5.48929i	0.220925	+	0.238891i
$529$	9.87388	+	2.09876i	0.429299	+	0.0912504i
$530$	−25.5815			−1.11119
$531$	0.650062	−	2.19810i	0.0282103	−	0.0953893i
$532$	21.5036			0.932297
$533$	14.4351	−	6.41958i	0.625252	−	0.278063i
$534$	−22.9884	−	16.2391i	−0.994806	−	0.702734i
$535$	1.28459	−	12.2221i	0.0555377	−	0.528406i
$536$	−3.15529	−	5.46512i	−0.136288	−	0.236057i
$537$	−20.9277	+	4.74027i	−0.903099	+	0.204558i
$538$	−15.1580	−	3.22193i	−0.653507	−	0.138907i
$539$	2.89838	+	2.10580i	0.124842	+	0.0907031i
$540$	15.3986	+	2.63558i	0.662649	+	0.113417i
$541$	−3.48750	+	10.7334i	−0.149939	+	0.461465i	−0.997613	−	0.0690523i	$-0.978002\pi$
$541$	−3.48750	+	10.7334i	−0.149939	+	0.461465i	0.847674	+	0.530518i	$0.178002\pi$
$542$	−1.69585	+	2.93731i	−0.0728432	+	0.126168i
$543$	−18.4803	−	7.93500i	−0.793067	−	0.340523i
$544$	4.73529	−	1.00652i	0.203024	−	0.0431540i
$545$	25.3379	−	28.1405i	1.08535	−	1.20541i
$546$	−3.84620	−	11.3224i	−0.164602	−	0.484555i
$547$	9.87088	−	17.0969i	0.422048	−	0.731009i	−0.574091	−	0.818791i	$-0.694645\pi$
$547$	9.87088	−	17.0969i	0.422048	−	0.731009i	0.996140	+	0.0877820i	$0.0279779\pi$
$548$	3.67627	+	11.3144i	0.157042	+	0.483327i
$549$	3.44383	−	44.0037i	0.146979	−	1.87803i
$550$	−5.38826	+	16.5834i	−0.229756	+	0.707117i
$551$	−49.7948	+	22.1701i	−2.12133	+	0.944478i
$552$	3.03915	−	5.42957i	0.129355	−	0.231098i
$553$	7.90751	+	3.52065i	0.336262	+	0.149713i
$554$	−15.5989	−	6.94508i	−0.662734	−	0.295068i
$555$	4.61532	−	8.24547i	0.195909	−	0.350001i
$556$	0.660345	−	0.294004i	0.0280049	−	0.0124686i
$557$	−5.31908	+	16.3705i	−0.225377	+	0.693638i	0.772876	+	0.634557i	$0.218817\pi$
$557$	−5.31908	+	16.3705i	−0.225377	+	0.693638i	−0.998253	+	0.0590817i	$0.981183\pi$
$558$	−25.3976	+	12.1277i	−1.07517	+	0.513404i
$559$	−1.24276	−	3.82481i	−0.0525629	−	0.161772i
$560$	4.20646	−	7.28581i	0.177756	−	0.307882i
$561$	−11.6423	−	34.2724i	−0.491537	−	1.44698i
$562$	−8.36946	+	9.29523i	−0.353044	+	0.392096i
$563$	2.43575	−	0.517735i	0.102655	−	0.0218199i	−0.156298	−	0.987710i	$-0.549956\pi$
$563$	2.43575	−	0.517735i	0.102655	−	0.0218199i	0.258953	+	0.965890i	$0.416623\pi$
$564$	1.22710	+	0.526889i	0.0516704	+	0.0221860i
$565$	−14.1520	+	24.5120i	−0.595380	+	1.03123i
$566$	−2.64150	+	8.12970i	−0.111030	+	0.341717i
$567$	−6.49681	+	24.3314i	−0.272840	+	1.02182i
$568$	12.1591	+	8.83414i	0.510187	+	0.370672i
$569$	0.154267	+	0.0327905i	0.00646721	+	0.00137465i	0.211144	−	0.977455i	$-0.432281\pi$
$569$	0.154267	+	0.0327905i	0.00646721	+	0.00137465i	−0.204677	+	0.978830i	$0.565614\pi$
$570$	−39.0297	+	8.84049i	−1.63478	+	0.370287i
$571$	7.81141	+	13.5298i	0.326897	+	0.566203i	0.981895	−	0.189429i	$-0.0606635\pi$
$571$	7.81141	+	13.5298i	0.326897	+	0.566203i	−0.654997	+	0.755631i	$0.727330\pi$
$572$	−1.11328	+	10.5922i	−0.0465487	+	0.442881i
$573$	−28.0176	−	19.7917i	−1.17045	−	0.826810i
$574$	−8.96518	+	15.5130i	−0.374200	+	0.647499i
$575$	14.5110			0.605151
$576$	2.06601	+	2.17522i	0.0860839	+	0.0906342i
$577$	−2.02587			−0.0843381			−0.0421690	−	0.999110i	$-0.513427\pi$
$577$	−2.02587			−0.0843381			−0.0421690	+	0.999110i	$0.513427\pi$
$578$	−6.29538	−	1.33812i	−0.261853	−	0.0556586i
$579$	17.9911	+	19.4541i	0.747683	+	0.808485i
$580$	−2.22908	+	21.2083i	−0.0925575	+	0.880626i
$581$	21.5730	+	9.60492i	0.894999	+	0.398479i
$582$	1.27990	+	10.7937i	0.0530537	+	0.447412i
$583$	−18.3647	+	31.8086i	−0.760589	+	1.31738i
$584$	−4.77406	+	14.6930i	−0.197552	+	0.608003i
$585$	11.6359	+	18.9694i	0.481083	+	0.784288i
$586$	−6.91159	−	21.2717i	−0.285515	−	0.878725i
$587$	−18.9393	+	8.43231i	−0.781707	+	0.348039i	−0.758484	−	0.651692i	$-0.774060\pi$
$587$	−18.9393	+	8.43231i	−0.781707	+	0.348039i	−0.0232235	+	0.999730i	$0.507393\pi$
$588$	1.17409	+	0.829379i	0.0484186	+	0.0342030i
$589$	48.2410	−	53.5770i	1.98773	−	2.20760i
$590$	2.09861	+	0.934360i	0.0863983	+	0.0384670i
$591$	39.0855	+	16.7824i	1.60776	+	0.690334i
$592$	1.65768	−	0.738045i	0.0681301	−	0.0303335i
$593$	−9.66884	+	7.02483i	−0.397052	+	0.288475i	−0.768339	−	0.640043i	$-0.778917\pi$
$593$	−9.66884	+	7.02483i	−0.397052	+	0.288475i	0.371287	+	0.928518i	$0.378917\pi$
$594$	14.3316	−	17.2549i	0.588034	−	0.707976i
$595$	−32.9493	+	23.9391i	−1.35079	+	0.981407i
$596$	0.664154	+	6.31900i	0.0272048	+	0.258836i
$597$	−3.32269	+	3.79047i	−0.135989	+	0.155134i
$598$	8.66975	−	1.84281i	0.354533	−	0.0753582i
$599$	−0.185463	−	0.0825735i	−0.00757781	−	0.00337386i	0.402944	−	0.915225i	$-0.367987\pi$
$599$	−0.185463	−	0.0825735i	−0.00757781	−	0.00337386i	−0.410522	+	0.911851i	$0.634654\pi$
$600$	−2.07324	+	6.68209i	−0.0846398	+	0.272795i
$601$	−18.2989	+	31.6946i	−0.746426	+	1.29285i	0.203099	+	0.979158i	$0.434899\pi$
$601$	−18.2989	+	31.6946i	−0.746426	+	1.29285i	−0.949525	+	0.313690i	$0.898435\pi$
$602$	3.68999	+	2.68094i	0.150393	+	0.109267i
$603$	−15.0145	+	11.5315i	−0.611438	+	0.469597i
$604$	−2.79143	+	8.59112i	−0.113581	+	0.349568i
$605$	15.3585	+	17.0573i	0.624411	+	0.693479i
$606$	10.8421	−	5.00115i	0.440430	−	0.203158i
$607$	20.0472	−	4.26117i	0.813693	−	0.172956i	0.217773	−	0.976000i	$-0.430121\pi$
$607$	20.0472	−	4.26117i	0.813693	−	0.172956i	0.595920	+	0.803044i	$0.296788\pi$
$608$	−7.02039	−	3.12568i	−0.284715	−	0.126763i
$609$	−33.7175	−	6.69917i	−1.36630	−	0.271464i
$610$	43.2680	+	9.19689i	1.75187	+	0.372371i
$611$	0.587842	+	1.80919i	0.0237815	+	0.0731920i
$612$	−4.85393	−	13.6881i	−0.196208	−	0.553308i
$613$	18.6169	+	13.5260i	0.751929	+	0.546308i	0.896424	−	0.443197i	$-0.146156\pi$
$613$	18.6169	+	13.5260i	0.751929	+	0.546308i	−0.144495	+	0.989505i	$0.546156\pi$
$614$	−7.55633	+	13.0879i	−0.304949	+	0.528186i
$615$	9.89448	−	31.8424i	0.398984	−	1.28401i
$616$	−6.03956	−	10.4608i	−0.243341	−	0.421479i
$617$	−2.48554	+	23.6483i	−0.100064	+	0.952046i	0.823167	+	0.567800i	$0.192205\pi$
$617$	−2.48554	+	23.6483i	−0.100064	+	0.952046i	−0.923231	+	0.384246i	$0.874461\pi$
$618$	3.07882	−	33.5870i	0.123848	−	1.35107i
$619$	6.85410	+	1.45688i	0.275490	+	0.0585571i	0.343585	−	0.939122i	$-0.388359\pi$
$619$	6.85410	+	1.45688i	0.275490	+	0.0585571i	−0.0680950	+	0.997679i	$0.521692\pi$
$620$	−8.71614	−	26.8255i	−0.350049	−	1.07734i
$621$	−17.3424	−	6.90576i	−0.695928	−	0.277119i
$622$	3.04026	−	2.20888i	0.121903	−	0.0885679i
$623$	30.4256	+	33.7911i	1.21898	+	1.35381i
$624$	−0.390095	+	4.25557i	−0.0156163	+	0.170359i
$625$	28.2493	−	6.00458i	1.12997	−	0.240183i
$626$	−27.4327	+	5.83100i	−1.09643	+	0.233054i
$627$	−17.0266	+	54.8770i	−0.679978	+	2.19158i
$628$	−3.86795	+	1.72212i	−0.154348	+	0.0687202i
$629$	−8.78439			−0.350257
$630$	−23.3218	−	9.64828i	−0.929163	−	0.384397i
$631$	−9.87311	+	7.17324i	−0.393042	+	0.285562i	−0.766701	−	0.642004i	$-0.778103\pi$
$631$	−9.87311	+	7.17324i	−0.393042	+	0.285562i	0.373659	+	0.927566i	$0.378103\pi$
$632$	−2.06986	−	2.29882i	−0.0823347	−	0.0914420i
$633$	−22.6006	−	4.49040i	−0.898292	−	0.178477i
$634$	11.0964	+	4.94044i	0.440695	+	0.196210i
$635$	−2.15900	−	0.961247i	−0.0856772	−	0.0381459i
$636$	−7.19816	+	12.8598i	−0.285426	+	0.509925i
$637$	0.214038	+	2.03643i	0.00848049	+	0.0806864i
$638$	24.7706	+	17.9969i	0.980679	+	0.712505i
$639$	21.4971	−	39.6340i	0.850413	−	1.56790i
$640$	−2.43235	+	1.76720i	−0.0961470	+	0.0698549i
$641$	21.8082	+	4.63547i	0.861371	+	0.183090i	0.617359	−	0.786682i	$-0.288203\pi$
$641$	21.8082	+	4.63547i	0.861371	+	0.183090i	0.244013	+	0.969772i	$0.421536\pi$
$642$	−5.78257	−	4.08483i	−0.228220	−	0.161215i
$643$	4.20026	−	39.9628i	0.165642	−	1.57598i	−0.523929	−	0.851762i	$-0.675534\pi$
$643$	4.20026	−	39.9628i	0.165642	−	1.57598i	0.689571	−	0.724218i	$-0.257799\pi$
$644$	−6.72632	+	7.47034i	−0.265054	+	0.294373i
$645$	−7.79965	−	3.34898i	−0.307111	−	0.131866i
$646$	24.8934	+	27.6469i	0.979418	+	1.08775i
$647$	43.5703			1.71292			0.856462	−	0.516210i	$-0.172657\pi$
$647$	43.5703			1.71292			0.856462	+	0.516210i	$0.172657\pi$
$648$	5.65777	−	6.99926i	0.222258	−	0.274957i
$649$	2.66838	−	1.93869i	0.104743	−	0.0761002i
$650$	−9.10446	+	4.05357i	−0.357106	+	0.158994i
$651$	44.3454	−	10.0445i	1.73803	−	0.393676i
$652$	−4.99430	+	5.54673i	−0.195592	+	0.217227i
$653$	−11.5894	−	20.0735i	−0.453529	−	0.785535i	0.545073	−	0.838388i	$-0.316502\pi$
$653$	−11.5894	−	20.0735i	−0.453529	−	0.785535i	−0.998602	+	0.0528533i	$0.983168\pi$
$654$	−7.01665	−	20.6556i	−0.274373	−	0.807696i
$655$	14.6624	−	25.3960i	0.572908	−	0.992305i
$656$	5.18183	−	3.76147i	0.202316	−	0.146861i
$657$	45.5751	+	8.42627i	1.77806	+	0.328740i
$658$	−1.74542	−	1.26812i	−0.0680436	−	0.0494365i
$659$	−19.4669	+	33.7176i	−0.758321	+	1.31345i	0.185385	+	0.982666i	$0.440647\pi$
$659$	−19.4669	+	33.7176i	−0.758321	+	1.31345i	−0.943706	+	0.330785i	$0.892686\pi$
$660$	15.2627	+	16.5038i	0.594098	+	0.642410i
$661$	24.6630	−	27.3910i	0.959279	−	1.06539i	−0.0385325	−	0.999257i	$-0.512268\pi$
$661$	24.6630	−	27.3910i	0.959279	−	1.06539i	0.997811	−	0.0661294i	$-0.0210650\pi$
$662$	−0.909710	+	8.65531i	−0.0353569	+	0.336398i
$663$	10.1046	−	18.0523i	0.392431	−	0.701095i
$664$	−5.64693	−	6.27155i	−0.219143	−	0.243383i
$665$	64.6515			2.50708
$666$	−2.84633	−	4.64024i	−0.110293	−	0.179806i
$667$	7.87396	−	24.2336i	0.304881	−	0.938327i
$668$	5.30733	+	1.12811i	0.205347	+	0.0436478i
$669$	4.69299	+	13.8152i	0.181442	+	0.534127i
$670$	−9.48653	−	16.4311i	−0.366496	−	0.634791i
$671$	42.4973	−	47.1980i	1.64059	−	1.82206i
$672$	−2.47896	−	4.16468i	−0.0956278	−	0.160656i
$673$	−12.0663	−	13.4010i	−0.465121	−	0.516569i	0.464256	−	0.885701i	$-0.346322\pi$
$673$	−12.0663	−	13.4010i	−0.465121	−	0.516569i	−0.929377	+	0.369132i	$0.879655\pi$
$674$	29.0172	+	21.0822i	1.11770	+	0.812056i
$675$	20.6882	+	3.54093i	0.796287	+	0.136290i
$676$	5.59244	−	4.06315i	0.215094	−	0.156275i
$677$	−2.74193	−	26.0877i	−0.105381	−	1.00263i	−0.911618	−	0.411039i	$-0.865166\pi$
$677$	−2.74193	−	26.0877i	−0.105381	−	1.00263i	0.806237	−	0.591593i	$-0.201501\pi$
$678$	8.34008	+	14.0115i	0.320299	+	0.538107i
$679$	1.83550	−	17.4636i	0.0704400	−	0.670192i
$680$	14.2369	−	3.02614i	0.545959	−	0.116047i
$681$	6.99801	−	0.0931369i	0.268164	−	0.00356901i
$682$	−39.6127	−	8.41995i	−1.51685	−	0.322416i
$683$	15.6264			0.597928			0.298964	−	0.954264i	$-0.403359\pi$
$683$	15.6264			0.597928			0.298964	+	0.954264i	$0.403359\pi$
$684$	−6.53813	+	22.1078i	−0.249992	+	0.845313i
$685$	11.0529	+	34.0173i	0.422309	+	1.29973i
$686$	11.5526	+	12.8305i	0.441081	+	0.489870i
$687$	3.09383	+	26.0909i	0.118037	+	0.995429i
$688$	−0.815002	−	1.41162i	−0.0310717	−	0.0538177i
$689$	−20.5342	+	4.36467i	−0.782289	+	0.166281i
$690$	9.13734	−	16.3243i	0.347853	−	0.621454i
$691$	−28.0754	+	12.5000i	−1.06804	+	0.475521i	−0.864026	−	0.503447i	$-0.832065\pi$
$691$	−28.0754	+	12.5000i	−1.06804	+	0.475521i	−0.204012	+	0.978968i	$0.565398\pi$
$692$	3.81793	+	11.7504i	0.145136	+	0.446682i
$693$	−28.7394	+	22.0725i	−1.09172	+	0.838464i
$694$	−5.59816			−0.212503
$695$	1.98536	−	0.883939i	0.0753089	−	0.0335297i
$696$	10.0342	+	7.08817i	0.380345	+	0.268677i
$697$	−30.3234	+	6.43201i	−1.14858	+	0.243630i
$698$	−4.92891	−	8.53712i	−0.186562	−	0.323135i
$699$	−14.9918	+	17.1024i	−0.567041	+	0.646871i
$700$	5.65143	−	9.78857i	0.213604	−	0.369973i
$701$	−11.6565	−	35.8750i	−0.440259	−	1.35498i	−0.887600	−	0.460615i	$-0.847629\pi$
$701$	−11.6565	−	35.8750i	−0.440259	−	1.35498i	0.447341	−	0.894364i	$-0.352371\pi$
$702$	12.8100	−	0.511710i	0.483483	−	0.0193132i
$703$	11.2813	+	8.19634i	0.425482	+	0.309131i
$704$	0.451223	+	4.29310i	0.0170061	+	0.161802i
$705$	3.68935	+	1.58412i	0.138949	+	0.0596613i
$706$	−11.0302	−	19.1049i	−0.415128	−	0.719023i
$707$	−18.8680	+	4.01051i	−0.709604	+	0.150831i
$708$	1.06021	−	0.792058i	0.0398452	−	0.0297674i
$709$	−26.5144	−	5.63580i	−0.995768	−	0.211657i	−0.318922	−	0.947781i	$-0.603321\pi$
$709$	−26.5144	−	5.63580i	−0.995768	−	0.211657i	−0.676847	+	0.736124i	$0.736654\pi$
$710$	36.5571	+	26.5603i	1.37196	+	0.996789i
$711$	−6.02385	+	7.05926i	−0.225912	+	0.264743i
$712$	−5.02149	−	15.4545i	−0.188188	−	0.579183i
$713$	3.52287	+	33.5178i	0.131932	+	1.25525i
$714$	2.76285	+	23.2997i	0.103397	+	0.871968i
$715$	−3.34714	+	31.8459i	−0.125176	+	1.19097i
$716$	−11.3177	−	5.03894i	−0.422961	−	0.188314i
$717$	−2.55729	+	4.56871i	−0.0955038	+	0.170622i
$718$	−3.04319	−	28.9540i	−0.113571	−	1.08056i
$719$	6.99776	−	5.08417i	0.260972	−	0.189607i	−0.449603	−	0.893228i	$-0.648435\pi$
$719$	6.99776	−	5.08417i	0.260972	−	0.189607i	0.710576	+	0.703621i	$0.248435\pi$
$720$	6.21157	+	6.53991i	0.231492	+	0.243728i
$721$	−16.8379	+	51.8218i	−0.627078	+	1.92995i
$722$	−4.18697	−	39.8364i	−0.155823	−	1.48256i
$723$	8.92192	−	28.7555i	0.331810	−	1.06943i
$724$	−5.80580	−	10.0559i	−0.215771	−	0.373726i
$725$	−2.99480	+	28.4936i	−0.111224	+	1.05822i
$726$	12.8963	−	2.92110i	0.478627	−	0.108412i
$727$	16.2460	+	18.0430i	0.602531	+	0.669178i	0.964827	−	0.262885i	$-0.0846739\pi$
$727$	16.2460	+	18.0430i	0.602531	+	0.669178i	−0.362297	+	0.932063i	$0.618007\pi$
$728$	2.13342	−	6.56598i	0.0790697	−	0.243352i
$729$	−23.0397	−	14.0773i	−0.853324	−	0.521381i
$730$	−14.3534	+	44.1754i	−0.531245	+	1.63500i
$731$	0.824831	+	7.84775i	0.0305075	+	0.290259i
$732$	16.7981	−	19.1630i	0.620875	−	0.708284i
$733$	6.04496	−	6.71361i	0.223276	−	0.247973i	−0.621091	−	0.783738i	$-0.713310\pi$
$733$	6.04496	−	6.71361i	0.223276	−	0.247973i	0.844367	+	0.535766i	$0.179977\pi$
$734$	−1.39192	+	1.54589i	−0.0513768	+	0.0570597i
$735$	3.52995	+	2.49357i	0.130204	+	0.0919766i
$736$	3.28184	−	1.46117i	0.120970	−	0.0538595i
$737$	−27.2412			−1.00344
$738$	−13.2230	−	13.9338i	−0.486747	−	0.512911i
$739$	43.6471			1.60559			0.802793	−	0.596258i	$-0.203346\pi$
$739$	43.6471			1.60559			0.802793	+	0.596258i	$0.203346\pi$
$740$	4.98389	−	2.21897i	0.183211	−	0.0815709i
$741$	−29.8206	+	13.7554i	−1.09549	+	0.505317i
$742$	15.9312	−	17.6934i	0.584852	−	0.649544i
$743$	28.9473	−	32.1492i	1.06197	−	1.17944i	0.0787760	−	0.996892i	$-0.474899\pi$
$743$	28.9473	−	32.1492i	1.06197	−	1.17944i	0.983197	−	0.182548i	$-0.0584345\pi$
$744$	−15.9378	−	3.16660i	−0.584307	−	0.116093i
$745$	1.99681	+	18.9984i	0.0731575	+	0.696047i
$746$	1.19700	−	3.68398i	0.0438252	−	0.134880i
$747$	−16.4341	+	19.2588i	−0.601291	+	0.704644i
$748$	6.45774	−	19.8749i	0.236119	−	0.726698i
$749$	7.65336	+	8.49991i	0.279648	+	0.310580i
$750$	1.48246	−	4.77797i	0.0541316	−	0.174467i
$751$	−0.368089	+	3.50213i	−0.0134318	+	0.127795i	−0.999183	−	0.0404152i	$-0.987132\pi$
$751$	−0.368089	+	3.50213i	−0.0134318	+	0.127795i	0.985751	+	0.168210i	$0.0537986\pi$
$752$	0.385508	+	0.667720i	0.0140580	+	0.0243492i
$753$	−2.01094	+	0.455491i	−0.0732827	+	0.0165990i
$754$	1.82925	+	17.4041i	0.0666172	+	0.633820i
$755$	−8.39256	+	25.8296i	−0.305436	+	0.940036i
$756$	−11.4125	+	9.00903i	−0.415069	+	0.327655i
$757$	−1.27740	+	0.928086i	−0.0464279	+	0.0337319i	−0.610757	−	0.791818i	$-0.709135\pi$
$757$	−1.27740	+	0.928086i	−0.0464279	+	0.0337319i	0.564329	+	0.825550i	$0.309135\pi$
$758$	3.09708	+	29.4667i	0.112491	+	1.07028i
$759$	−13.7383	−	23.0806i	−0.498670	−	0.837773i
$760$	−21.1072	−	9.39751i	−0.765637	−	0.340884i
$761$	−2.87040	+	27.3101i	−0.104052	+	0.989989i	0.810560	+	0.585656i	$0.199163\pi$
$761$	−2.87040	+	27.3101i	−0.104052	+	0.989989i	−0.914612	+	0.404333i	$0.867504\pi$
$762$	−1.09072	+	0.814851i	−0.0395126	+	0.0295189i
$763$	3.68387	+	35.0497i	0.133365	+	1.26888i
$764$	−6.12004	−	18.8355i	−0.221415	−	0.681446i
$765$	−14.5936	−	41.1539i	−0.527632	−	1.48792i
$766$	10.8620	+	7.89167i	0.392458	+	0.285138i
$767$	1.84396	+	0.391946i	0.0665815	+	0.0141523i
$768$	0.203956	+	1.72000i	0.00735964	+	0.0620652i
$769$	−40.6761	+	8.64597i	−1.46682	+	0.311782i	−0.870978	−	0.491322i	$-0.836514\pi$
$769$	−40.6761	+	8.64597i	−1.46682	+	0.311782i	−0.595840	+	0.803103i	$0.703181\pi$
$770$	−18.1582	−	31.4510i	−0.654378	−	1.13342i
$771$	−0.425559	−	3.58882i	−0.0153261	−	0.129248i
$772$	1.59914	+	15.2148i	0.0575542	+	0.547592i
$773$	0.819621	+	0.595489i	0.0294797	+	0.0214183i	0.602428	−	0.798174i	$-0.294200\pi$
$773$	0.819621	+	0.595489i	0.0294797	+	0.0214183i	−0.572948	+	0.819592i	$0.694200\pi$
$774$	−3.87821	+	2.97854i	−0.139399	+	0.107062i
$775$	−11.7102	−	36.0404i	−0.420644	−	1.29461i
$776$	−3.13769	+	5.43465i	−0.112637	+	0.195092i
$777$	2.82871	+	8.32713i	0.101479	+	0.298734i
$778$	8.62388	+	14.9370i	0.309181	+	0.535517i
$779$	44.9440	+	20.0332i	1.61029	+	0.717762i
$780$	−1.17284	+	12.7946i	−0.0419944	+	0.458120i
$781$	59.2696	−	26.3885i	2.12083	−	0.944256i
$782$	−17.3912			−0.621908
$783$	17.1392	−	32.6281i	0.612505	−	1.16603i
$784$	0.256462	+	0.789310i	0.00915937	+	0.0281897i
$785$	−11.6292	+	5.17765i	−0.415063	+	0.184798i
$786$	−8.64086	−	14.5168i	−0.308209	−	0.517796i
$787$	7.58499	−	1.61224i	0.270376	−	0.0574701i	−0.0707285	−	0.997496i	$-0.522532\pi$
$787$	7.58499	−	1.61224i	0.270376	−	0.0574701i	0.341104	+	0.940025i	$0.389199\pi$
$788$	12.2791	+	21.2681i	0.437426	+	0.757645i
$789$	2.21819	−	1.65716i	0.0789698	−	0.0589964i
$790$	−6.22314	−	6.91150i	−0.221410	−	0.245900i
$791$	−8.14032	−	25.0533i	−0.289437	−	0.890794i
$792$	12.5911	−	3.02867i	0.447405	−	0.107619i
$793$	36.3001			1.28906
$794$	−21.6913	−	4.61063i	−0.769796	−	0.163625i
$795$	−21.6416	+	38.6637i	−0.767549	+	1.37126i
$796$	−2.84662	+	0.605067i	−0.100896	+	0.0214460i
$797$	2.57558	−	24.5050i	0.0912316	−	0.868010i	−0.849210	−	0.528055i	$-0.822921\pi$
$797$	2.57558	−	24.5050i	0.0912316	−	0.868010i	0.940442	−	0.339955i	$-0.110412\pi$
$798$	18.1917	−	32.5003i	0.643980	−	1.15050i
$799$	−0.390157	−	3.71210i	−0.0138028	−	0.131325i
$800$	−3.26789	+	2.37426i	−0.115537	+	0.0839428i
$801$	−43.9915	+	21.0065i	−1.55436	+	0.742227i
$802$	−12.5995	−	9.15407i	−0.444904	−	0.323242i
$803$	44.6245	+	49.5605i	1.57476	+	1.74895i
$804$	−10.9293	+	0.145458i	−0.385446	+	0.00512992i
$805$	−20.2230	+	22.4599i	−0.712768	+	0.791609i
$806$	−11.5733	−	20.0456i	−0.407653	−	0.706076i
$807$	−17.6930	+	20.1839i	−0.622825	+	0.710508i
$808$	6.74290	+	1.43325i	0.237214	+	0.0504215i
$809$	0.532561	−	1.63905i	0.0187238	−	0.0576261i	−0.941258	−	0.337688i	$-0.890355\pi$
$809$	0.532561	−	1.63905i	0.0187238	−	0.0576261i	0.959982	+	0.280062i	$0.0903551\pi$
$810$	17.0104	−	21.0436i	0.597684	−	0.739397i
$811$	−44.8007			−1.57317			−0.786583	−	0.617485i	$-0.788152\pi$
$811$	−44.8007			−1.57317			−0.786583	+	0.617485i	$0.788152\pi$
$812$	−13.2804	−	14.7494i	−0.466052	−	0.517604i
$813$	3.00475	+	5.04802i	0.105381	+	0.177042i
$814$	0.818768	−	7.79006i	0.0286978	−	0.273041i
$815$	−15.0156	+	16.6765i	−0.525974	+	0.584153i
$816$	2.48475	−	8.00838i	0.0869836	−	0.280349i
$817$	6.26311	−	10.8480i	0.219118	−	0.379524i
$818$	3.58239	+	2.60276i	0.125255	+	0.0910034i
$819$	−20.3665	−	3.76551i	−0.711662	−	0.131577i
$820$	15.5794	−	11.3090i	0.544057	−	0.394929i
$821$	1.02735	−	1.77943i	0.0358548	−	0.0621024i	−0.847541	−	0.530730i	$-0.821918\pi$
$821$	1.02735	−	1.77943i	0.0358548	−	0.0621024i	0.883396	+	0.468627i	$0.155251\pi$
$822$	20.2106	+	4.01554i	0.704924	+	0.140058i
$823$	8.58822	+	14.8752i	0.299367	+	0.518518i	0.975991	−	0.217810i	$-0.0698913\pi$
$823$	8.58822	+	14.8752i	0.299367	+	0.518518i	−0.676625	+	0.736328i	$0.736558\pi$
$824$	13.0298	−	14.4711i	0.453915	−	0.504124i
$825$	20.5056	+	22.1731i	0.713912	+	0.771968i
$826$	−1.95318	+	0.869611i	−0.0679597	+	0.0302576i
$827$	18.2009	−	13.2237i	0.632907	−	0.459834i	−0.224499	−	0.974474i	$-0.572075\pi$
$827$	18.2009	−	13.2237i	0.632907	−	0.459834i	0.857406	+	0.514640i	$0.172075\pi$
$828$	−5.63512	−	9.18668i	−0.195834	−	0.319259i
$829$	41.0878			1.42704			0.713519	−	0.700635i	$-0.247100\pi$
$829$	41.0878			1.42704			0.713519	+	0.700635i	$0.247100\pi$
$830$	−16.9778	−	18.8557i	−0.589307	−	0.654491i
$831$	−23.6932	+	17.7006i	−0.821908	+	0.614027i
$832$	−1.65092	+	1.83353i	−0.0572353	+	0.0635662i
$833$	0.419970	−	3.99574i	0.0145511	−	0.138444i
$834$	0.114287	−	1.24676i	0.00395744	−	0.0431719i
$835$	15.9567	+	3.39171i	0.552206	+	0.117375i
$836$	−26.8377	+	19.4987i	−0.928202	+	0.674378i
$837$	−3.15641	+	48.6456i	−0.109101	+	1.68144i
$838$	−8.37716	−	6.08637i	−0.289384	−	0.210250i
$839$	−2.01655	−	19.1862i	−0.0696190	−	0.662380i	−0.972566	−	0.232628i	$-0.925268\pi$
$839$	−2.01655	−	19.1862i	−0.0696190	−	0.662380i	0.902947	−	0.429752i	$-0.141399\pi$
$840$	−7.45310	−	12.5213i	−0.257156	−	0.432026i
$841$	19.4667	+	8.66716i	0.671267	+	0.298867i
$842$	−12.0843	−	5.38027i	−0.416452	−	0.185416i
$843$	6.96828	+	20.5132i	0.240000	+	0.706511i
$844$	−8.90178	−	9.88642i	−0.306412	−	0.340305i
$845$	16.8140	−	12.2161i	0.578418	−	0.420245i
$846$	1.83445	−	1.40890i	0.0630697	−	0.0484388i
$847$	−21.3623			−0.734018
$848$	−7.77299	+	3.46076i	−0.266926	+	0.118843i
$849$	10.0525	+	10.8700i	0.345000	+	0.373056i
$850$	19.1274	−	4.06566i	0.656065	−	0.139451i
$851$	−6.37620	+	1.35530i	−0.218573	+	0.0464592i
$852$	23.6383	−	10.9037i	0.809836	−	0.373554i
$853$	3.24343	+	3.60220i	0.111053	+	0.123337i	0.796108	−	0.605154i	$-0.206889\pi$
$853$	3.24343	+	3.60220i	0.111053	+	0.123337i	−0.685055	+	0.728491i	$0.740222\pi$
$854$	−33.3066	+	24.1987i	−1.13973	+	0.828061i
$855$	−19.6572	+	66.4682i	−0.672262	+	2.27316i
$856$	−1.26312	−	3.88748i	−0.0431725	−	0.132871i
$857$	25.9089	+	5.50711i	0.885032	+	0.188119i	0.627935	−	0.778266i	$-0.283901\pi$
$857$	25.9089	+	5.50711i	0.885032	+	0.188119i	0.257097	+	0.966385i	$0.417234\pi$
$858$	15.0671	+	10.6435i	0.514383	+	0.363362i
$859$	1.18573	−	11.2814i	0.0404565	−	0.384918i	−0.955494	−	0.295011i	$-0.904677\pi$
$859$	1.18573	−	11.2814i	0.0404565	−	0.384918i	0.995950	−	0.0899064i	$-0.0286568\pi$
$860$	−2.45034	−	4.24412i	−0.0835560	−	0.144723i
$861$	15.8618	+	26.6737i	0.540568	+	0.909037i
$862$	−14.4806	+	25.0811i	−0.493210	+	0.854265i
$863$	28.4317	+	20.6569i	0.967828	+	0.703168i	0.954955	−	0.296749i	$-0.0959026\pi$
$863$	28.4317	+	20.6569i	0.967828	+	0.703168i	0.0128721	+	0.999917i	$0.495903\pi$
$864$	5.03543	−	1.28235i	0.171309	−	0.0436264i
$865$	11.4788	+	35.3281i	0.390291	+	1.20119i
$866$	−10.3124	−	2.19197i	−0.350429	−	0.0744860i
$867$	−7.34824	+	8.38275i	−0.249559	+	0.284693i
$868$	23.9819	+	10.6774i	0.813997	+	0.362415i
$869$	−13.0615	+	2.77630i	−0.443080	+	0.0941795i
$870$	30.1683	+	21.3109i	1.02280	+	0.722509i
$871$	−10.4182	−	11.5706i	−0.353009	−	0.392056i
$872$	3.89200	−	11.9784i	0.131800	−	0.405638i
$873$	17.3963	+	7.19687i	0.588774	+	0.243577i
$874$	22.3345	+	16.2270i	0.755477	+	0.548886i
$875$	−4.04101	+	6.99923i	−0.136611	+	0.236617i
$876$	18.1682	+	19.6456i	0.613845	+	0.663763i
$877$	38.4661	+	17.1262i	1.29891	+	0.578311i	0.935502	−	0.353320i	$-0.114947\pi$
$877$	38.4661	+	17.1262i	1.29891	+	0.578311i	0.363405	+	0.931631i	$0.381614\pi$
$878$	0.225869	−	0.0480098i	0.00762269	−	0.00162025i
$879$	−37.9969	−	7.54944i	−1.28161	−	0.254636i
$880$	1.35662	+	12.9074i	0.0457318	+	0.435109i
$881$	42.8928	−	31.1635i	1.44510	−	1.04992i	0.458149	−	0.888875i	$-0.348513\pi$
$881$	42.8928	−	31.1635i	1.44510	−	1.04992i	0.986947	−	0.161048i	$-0.0514875\pi$
$882$	2.24678	−	1.07286i	0.0756530	−	0.0361252i
$883$	−38.3609	+	27.8708i	−1.29095	+	0.937928i	−0.999824	−	0.0187572i	$-0.994029\pi$
$883$	−38.3609	+	27.8708i	−1.29095	+	0.937928i	−0.291123	+	0.956685i	$0.594029\pi$
$884$	10.9116	−	4.85814i	0.366995	−	0.163397i
$885$	3.18758	−	2.38136i	0.107149	−	0.0800486i
$886$	2.88372	+	1.28392i	0.0968805	+	0.0431340i
$887$	6.08437	−	6.75737i	0.204293	−	0.226890i	−0.632288	−	0.774733i	$-0.717884\pi$
$887$	6.08437	−	6.75737i	0.204293	−	0.226890i	0.836581	+	0.547843i	$0.184551\pi$
$888$	0.286897	−	3.12978i	0.00962764	−	0.105028i
$889$	2.00938	−	0.894635i	0.0673925	−	0.0300051i
$890$	−15.0973	−	46.4648i	−0.506064	−	1.55750i
$891$	−13.9545	−	36.2581i	−0.467494	−	1.21469i
$892$	−2.60312	+	8.01157i	−0.0871588	+	0.268247i
$893$	−2.96254	+	5.13128i	−0.0991377	+	0.171712i
$894$	10.1124	+	4.34200i	0.338208	+	0.145218i
$895$	−34.0271	−	15.1498i	−1.13740	−	0.506403i
$896$	0.292492	−	2.78287i	0.00977146	−	0.0929692i
$897$	4.54928	−	14.6624i	0.151896	−	0.489563i
$898$	4.37736	+	0.930436i	0.146074	+	0.0310490i
$899$	−66.5421			−2.21930
$900$	8.34532	+	8.78644i	0.278177	+	0.292881i
$901$	41.1908			1.37226
$902$	−2.87760	−	27.4905i	−0.0958135	−	0.915332i
$903$	7.17363	−	3.30899i	0.238723	−	0.110116i
$904$	−0.984045	+	9.36256i	−0.0327288	+	0.311394i
$905$	−17.4554	−	30.2336i	−0.580237	−	1.00500i
$906$	10.6230	+	11.4869i	0.352927	+	0.381627i
$907$	−7.97106	−	1.69430i	−0.264675	−	0.0562584i	0.0736627	−	0.997283i	$-0.476531\pi$
$907$	−7.97106	−	1.69430i	−0.264675	−	0.0562584i	−0.338337	+	0.941025i	$0.609865\pi$
$908$	3.26896	+	2.37504i	0.108484	+	0.0788185i
$909$	1.61358	−	20.6176i	0.0535191	−	0.683842i
$910$	6.41422	−	19.7409i	0.212629	−	0.654406i
$911$	17.6255	−	30.5283i	0.583959	−	1.01145i	−0.411045	−	0.911615i	$-0.634836\pi$
$911$	17.6255	−	30.5283i	0.583959	−	1.01145i	0.995004	−	0.0998316i	$-0.0318304\pi$
$912$	−10.6633	+	7.96628i	−0.353097	+	0.263790i
$913$	−35.6338	+	7.57420i	−1.17931	+	0.250669i
$914$	−25.2949	+	28.0928i	−0.836680	+	0.929227i
$915$	50.5042	−	57.6144i	1.66962	−	1.90467i
$916$	−7.58456	+	13.1368i	−0.250601	+	0.434053i
$917$	8.43390	+	25.9569i	0.278512	+	0.857171i
$918$	−24.7944	−	4.24374i	−0.818338	−	0.140064i
$919$	−8.14867	+	25.0790i	−0.268800	+	0.827281i	0.721994	+	0.691899i	$0.243226\pi$
$919$	−8.14867	+	25.0790i	−0.268800	+	0.827281i	−0.990794	+	0.135381i	$0.956774\pi$
$920$	9.86703	−	4.39308i	0.325306	−	0.144836i
$921$	13.3885	+	22.4928i	0.441165	+	0.741163i
$922$	−19.8550	−	8.84000i	−0.653888	−	0.291130i
$923$	33.8758	+	15.0825i	1.11504	+	0.496447i
$924$	−20.9198	+	0.278423i	−0.688211	+	0.00915944i
$925$	6.69591	−	2.98121i	0.220160	−	0.0980216i
$926$	−1.73352	+	5.33524i	−0.0569672	+	0.175327i
$927$	−48.1585	−	33.0675i	−1.58173	−	1.08608i
$928$	2.19182	+	6.74573i	0.0719501	+	0.221440i
$929$	0.113789	−	0.197088i	0.00373329	−	0.00646624i	−0.864153	−	0.503230i	$-0.832145\pi$
$929$	0.113789	−	0.197088i	0.00373329	−	0.00646624i	0.867886	+	0.496763i	$0.165478\pi$
$930$	−47.9176	−	9.52054i	−1.57128	−	0.312191i
$931$	−4.26760	+	4.73965i	−0.139865	+	0.155336i
$932$	−12.8437	+	2.73002i	−0.420711	+	0.0894248i
$933$	−0.766461	−	6.46371i	−0.0250928	−	0.211612i
$934$	−9.24768	+	16.0174i	−0.302593	+	0.524107i
$935$	19.4155	−	59.7548i	0.634955	−	1.95419i
$936$	6.10182	+	4.18975i	0.199444	+	0.136946i
$937$	36.1795	+	26.2859i	1.18193	+	0.858724i	0.992388	−	0.123149i	$-0.0392992\pi$
$937$	36.1795	+	26.2859i	1.18193	+	0.858724i	0.189543	+	0.981872i	$0.439299\pi$
$938$	17.2724	+	3.67136i	0.563963	+	0.119874i
$939$	−14.3948	+	46.3945i	−0.469756	+	1.51403i
$940$	1.15905	+	2.00753i	0.0378040	+	0.0654784i
$941$	−2.93420	+	27.9170i	−0.0956520	+	0.910068i	0.836492	+	0.547980i	$0.184603\pi$
$941$	−2.93420	+	27.9170i	−0.0956520	+	0.910068i	−0.932144	+	0.362089i	$0.882064\pi$
$942$	−0.669433	+	7.30289i	−0.0218113	+	0.237941i
$943$	−21.0180	+	9.34716i	−0.684441	+	0.304386i
$944$	0.764069			0.0248683
$945$	−34.3123	+	27.0861i	−1.11618	+	0.881110i
$946$	−7.03632			−0.228770
$947$	−41.3577	−	8.79085i	−1.34394	−	0.285664i	−0.520889	−	0.853625i	$-0.674399\pi$
$947$	−41.3577	−	8.79085i	−1.34394	−	0.285664i	−0.823056	+	0.567961i	$0.807733\pi$
$948$	−5.22549	+	1.18361i	−0.169716	+	0.0384418i
$949$	−3.98432	+	37.9083i	−0.129337	+	1.23056i
$950$	−28.3577	−	12.6257i	−0.920046	−	0.409631i
$951$	16.8544	−	12.5915i	0.546540	−	0.408307i
$952$	−6.77315	+	11.7314i	−0.219519	+	0.380218i
$953$	15.4539	−	47.5621i	0.500599	−	1.54069i	−0.307445	−	0.951566i	$-0.599474\pi$
$953$	15.4539	−	47.5621i	0.500599	−	1.54069i	0.808045	−	0.589121i	$-0.200526\pi$
$954$	13.3467	+	21.7585i	0.432115	+	0.704457i
$955$	−18.4002	−	56.6299i	−0.595416	−	1.83250i
$956$	−2.76151	+	1.22950i	−0.0893137	+	0.0397650i
$957$	48.1560	−	22.2130i	1.55666	−	0.718044i
$958$	1.19608	−	1.32838i	0.0386437	−	0.0429181i
$959$	−30.4112	−	13.5400i	−0.982030	−	0.437228i
$960$	0.613204	+	5.17126i	0.0197911	+	0.166902i
$961$	52.0841	−	23.1893i	1.68013	−	0.748043i
$962$	3.62195	−	2.63150i	0.116776	−	0.0848429i
$963$	−11.0658	+	5.28403i	−0.356589	+	0.170275i
$964$	14.0629	−	10.2173i	0.452936	−	0.329077i
$965$	4.80788	+	45.7440i	0.154771	+	1.47255i
$966$	5.60023	+	16.4859i	0.180184	+	0.530426i
$967$	8.65623	−	1.83994i	0.278366	−	0.0591685i	−0.0666133	−	0.997779i	$-0.521219\pi$
$967$	8.65623	−	1.83994i	0.278366	−	0.0591685i	0.344979	+	0.938610i	$0.387886\pi$
$968$	6.97428	+	3.10515i	0.224162	+	0.0998033i
$969$	62.8448	−	14.2348i	2.01887	−	0.457286i
$970$	−9.43363	+	16.3395i	−0.302896	+	0.524631i
$971$	−17.2495	−	12.5325i	−0.553562	−	0.402186i	0.275535	−	0.961291i	$-0.411145\pi$
$971$	−17.2495	−	12.5325i	−0.553562	−	0.402186i	−0.829097	+	0.559105i	$0.811145\pi$
$972$	−5.79222	−	14.4724i	−0.185786	−	0.464202i
$973$	−0.625032	+	1.92365i	−0.0200376	+	0.0616694i
$974$	−17.3643	−	19.2850i	−0.556387	−	0.617930i
$975$	−1.57573	+	17.1897i	−0.0504636	+	0.550510i
$976$	14.3912	−	3.05895i	0.460652	−	0.0979147i
$977$	7.13847	+	3.17825i	0.228380	+	0.101681i	0.517737	−	0.855540i	$-0.326775\pi$
$977$	7.13847	+	3.17825i	0.228380	+	0.101681i	−0.289357	+	0.957221i	$0.593441\pi$
$978$	4.15818	+	12.2408i	0.132964	+	0.391418i
$979$	−68.6137	−	14.5843i	−2.19290	−	0.466116i
$980$	0.771067	+	2.37310i	0.0246308	+	0.0758059i
$981$	−37.1546	−	6.86943i	−1.18626	−	0.219324i
$982$	0.969069	+	0.704070i	0.0309242	+	0.0224678i
$983$	24.4928	−	42.4228i	0.781200	−	1.35308i	−0.150043	−	0.988680i	$-0.547941\pi$
$983$	24.4928	−	42.4228i	0.781200	−	1.35308i	0.931243	−	0.364399i	$-0.118726\pi$
$984$	−1.30129	−	11.0139i	−0.0414837	−	0.351111i
$985$	36.9178	+	63.9436i	1.17630	+	2.03741i
$986$	3.58921	−	34.1491i	0.114304	−	1.08753i
$987$	−3.39323	+	1.56520i	−0.108008	+	0.0498209i
$988$	−18.5460	−	3.94207i	−0.590027	−	0.125414i
$989$	1.80950	+	5.56907i	0.0575388	+	0.177086i
$990$	37.8558	−	9.10585i	1.20314	−	0.289403i
$991$	33.3097	−	24.2009i	1.05812	−	0.768768i	0.0843791	−	0.996434i	$-0.473109\pi$
$991$	33.3097	−	24.2009i	1.05812	−	0.768768i	0.973739	+	0.227666i	$0.0731093\pi$
$992$	−6.27747	−	6.97184i	−0.199310	−	0.221356i
$993$	12.3120	+	8.69721i	0.390709	+	0.275998i
$994$	−41.1366	+	8.74386i	−1.30478	+	0.277339i
$995$	−8.55849	+	1.81916i	−0.271322	+	0.0576713i
$996$	−14.2560	+	3.22907i	−0.451719	+	0.102317i
$997$	−11.0180	+	4.90555i	−0.348945	+	0.155360i	−0.573722	−	0.819050i	$-0.694501\pi$
$997$	−11.0180	+	4.90555i	−0.348945	+	0.155360i	0.224777	+	0.974410i	$0.427834\pi$
$998$	−30.0784			−0.952116
$999$	−9.42118	+	0.376339i	−0.298073	+	0.0119068i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	738.2.s.b.133.13	✓	176
9.4	even	3	inner	738.2.s.b.625.13	yes	176
41.37	even	5	inner	738.2.s.b.529.13	yes	176
369.283	even	15	inner	738.2.s.b.283.13	yes	176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
738.2.s.b.133.13	✓	176	1.1	even	1	trivial
738.2.s.b.283.13	yes	176	369.283	even	15	inner
738.2.s.b.529.13	yes	176	41.37	even	5	inner
738.2.s.b.625.13	yes	176	9.4	even	3	inner

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 738 = 2 \cdot 3^{2} \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	738.s (of order \(15\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.913545 - 0.406737i) q^{2} +(0.158109 - 1.72482i) q^{3} +(0.669131 - 0.743145i) q^{4} +(2.01177 - 2.23430i) q^{5} +(-0.557108 - 1.64001i) q^{6} +(0.292492 + 2.78287i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-2.95000 - 0.545419i) q^{9} +(0.929075 - 2.85940i) q^{10} +(-2.88847 - 3.20797i) q^{11} +(-1.17600 - 1.27163i) q^{12} +(0.257899 - 2.45374i) q^{13} +(1.39910 + 2.42331i) q^{14} +(-3.53569 - 3.82321i) q^{15} +(-0.104528 - 0.994522i) q^{16} +(-1.49597 + 4.60414i) q^{17} +(-2.91680 + 0.701610i) q^{18} +(6.21712 - 4.51700i) q^{19} +(-0.314270 - 2.99008i) q^{20} +(4.84620 - 0.0644983i) q^{21} +(-3.94354 - 1.75578i) q^{22} +(-0.375511 + 3.57275i) q^{23} +(-1.59154 - 0.683369i) q^{24} +(-0.422225 - 4.01721i) q^{25} +(-0.762424 - 2.34650i) q^{26} +(-1.40717 + 5.00199i) q^{27} +(2.26379 + 1.64474i) q^{28} +(-6.93789 - 1.47469i) q^{29} +(-4.78505 - 2.05458i) q^{30} +(9.17652 - 1.95053i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(-5.98986 + 4.47488i) q^{33} +(0.506030 + 4.81456i) q^{34} +(6.80620 + 4.94499i) q^{35} +(-2.37926 + 1.82732i) q^{36} +(0.560728 + 1.72574i) q^{37} +(3.84239 - 6.65521i) q^{38} +(-4.19148 - 0.832787i) q^{39} +(-1.50327 - 2.60375i) q^{40} +(3.19921 + 5.54662i) q^{41} +(4.40099 - 2.03005i) q^{42} +(1.48908 - 0.662982i) q^{43} -4.31675 q^{44} +(-7.15337 + 5.49394i) q^{45} +(1.11012 + 3.41660i) q^{46} +(-0.704358 + 0.313601i) q^{47} +(-1.73190 + 0.0230499i) q^{48} +(-0.811794 + 0.172552i) q^{49} +(-2.01967 - 3.49817i) q^{50} +(7.70478 + 3.30824i) q^{51} +(-1.65092 - 1.83353i) q^{52} +(-2.62930 - 8.09216i) q^{53} +(0.748977 + 5.14189i) q^{54} -12.9785 q^{55} +(2.73705 + 0.581779i) q^{56} +(-6.80803 - 11.4376i) q^{57} +(-6.93789 + 1.47469i) q^{58} +(-0.0798670 + 0.759884i) q^{59} +(-5.20703 + 0.0693007i) q^{60} +(1.53790 + 14.6322i) q^{61} +(7.58982 - 5.51433i) q^{62} +(0.654979 - 8.36901i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(-4.96356 - 5.51260i) q^{65} +(-3.65191 + 6.52430i) q^{66} +(4.22260 - 4.68967i) q^{67} +(2.42054 + 4.19250i) q^{68} +(6.10297 + 1.21257i) q^{69} +(8.22908 + 1.74915i) q^{70} +(-4.64438 + 14.2939i) q^{71} +(-1.43033 + 2.63708i) q^{72} -15.4492 q^{73} +(1.21417 + 1.34848i) q^{74} +(-6.99571 + 0.0931063i) q^{75} +(0.803278 - 7.64268i) q^{76} +(8.08251 - 8.97654i) q^{77} +(-4.16784 + 0.944042i) q^{78} +(1.54668 - 2.67893i) q^{79} +(-2.43235 - 1.76720i) q^{80} +(8.40504 + 3.21797i) q^{81} +(5.17864 + 3.76585i) q^{82} +(4.21960 - 7.30856i) q^{83} +(3.19481 - 3.64458i) q^{84} +(7.27747 + 12.6049i) q^{85} +(1.09069 - 1.21133i) q^{86} +(-3.64052 + 11.7334i) q^{87} +(-3.94354 + 1.75578i) q^{88} +(13.1464 - 9.55143i) q^{89} +(-4.30034 + 7.92850i) q^{90} +6.90388 q^{91} +(2.40380 + 2.66969i) q^{92} +(-1.91342 - 16.1362i) q^{93} +(-0.515910 + 0.572977i) q^{94} +(2.41509 - 22.9781i) q^{95} +(-1.57279 + 0.725483i) q^{96} +(-6.13826 - 1.30473i) q^{97} +(-0.671427 + 0.487821i) q^{98} +(6.77130 + 11.0389i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 176 q + 22 q^{2} + 4 q^{3} + 22 q^{4} + 2 q^{5} - 7 q^{6} - 2 q^{7} - 44 q^{8} + 4 q^{9} - 4 q^{10} + 6 q^{11} - 7 q^{12} + 8 q^{14} + 3 q^{15} + 22 q^{16} + 20 q^{17} - 7 q^{18} - 12 q^{19} + 2 q^{20}+ \cdots + 23 q^{99}+O(q^{100}) \) 176 * q + 22 * q^2 + 4 * q^3 + 22 * q^4 + 2 * q^5 - 7 * q^6 - 2 * q^7 - 44 * q^8 + 4 * q^9 - 4 * q^10 + 6 * q^11 - 7 * q^12 + 8 * q^14 + 3 * q^15 + 22 * q^16 + 20 * q^17 - 7 * q^18 - 12 * q^19 + 2 * q^20 + 32 * q^21 - 4 * q^22 + 18 * q^23 - q^24 + 24 * q^25 - 20 * q^27 + 4 * q^28 - 3 * q^29 + 3 * q^30 + 8 * q^31 - 88 * q^32 - 15 * q^33 + 5 * q^34 + 8 * q^35 - 7 * q^36 - 20 * q^37 - 4 * q^38 + 16 * q^39 - 8 * q^40 - 5 * q^41 + 84 * q^42 + 41 * q^43 + 8 * q^44 - 39 * q^45 + 24 * q^46 - 9 * q^47 - 7 * q^48 + 16 * q^49 - 96 * q^50 - 18 * q^51 + 52 * q^53 + 5 * q^54 + 20 * q^55 - 2 * q^56 - 42 * q^57 - 3 * q^58 - 28 * q^59 + 14 * q^60 + 34 * q^61 - 16 * q^62 - 50 * q^63 - 44 * q^64 - 32 * q^65 - 3 * q^66 + 36 * q^67 + 10 * q^68 - 10 * q^69 - 34 * q^70 - 34 * q^71 - q^72 + 136 * q^73 + 10 * q^74 - 59 * q^75 + 6 * q^76 + 13 * q^77 - 23 * q^78 + 6 * q^79 - 4 * q^80 + 20 * q^81 - 20 * q^82 - 6 * q^83 - q^84 - 48 * q^85 - 14 * q^86 + 4 * q^87 - 4 * q^88 - 26 * q^89 + 6 * q^90 + 16 * q^91 - 12 * q^92 - 11 * q^93 + 6 * q^94 + 7 * q^95 - 2 * q^96 - 28 * q^97 - 72 * q^98 + 23 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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