LMFDB - Embedded newform 738.2.s.b.625.13

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			625.13
Character	$\chi$	$=$	738.625
Dual form			738.2.s.b.529.13

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.104528 + 0.994522i) q^{2} +(0.158109 + 1.72482i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(-2.94085 - 0.625097i) q^{5} +(-1.73190 - 0.0230499i) q^{6} +(-2.55628 - 1.13813i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-2.95000 + 0.545419i) q^{9} +(0.929075 - 2.85940i) q^{10} +(4.22242 - 0.897502i) q^{11} +(0.203956 - 1.72000i) q^{12} +(-2.25395 + 1.00352i) q^{13} +(1.39910 - 2.42331i) q^{14} +(0.613204 - 5.17126i) q^{15} +(0.913545 + 0.406737i) q^{16} +(-1.49597 + 4.60414i) q^{17} +(-0.234071 - 2.99085i) q^{18} +(6.21712 - 4.51700i) q^{19} +(2.74662 + 1.22287i) q^{20} +(1.55890 - 4.58908i) q^{21} +(0.451223 + 4.29310i) q^{22} +(3.28184 - 1.46117i) q^{23} +(1.68926 + 0.382628i) q^{24} +(3.69011 + 1.64294i) q^{25} +(-0.762424 - 2.34650i) q^{26} +(-1.40717 - 5.00199i) q^{27} +(2.26379 + 1.64474i) q^{28} +(4.74607 - 5.27104i) q^{29} +(5.07884 + 1.15039i) q^{30} +(-6.27747 - 6.97184i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(2.21563 + 7.14100i) q^{33} +(-4.42254 - 1.96904i) q^{34} +(6.80620 + 4.94499i) q^{35} +(2.99894 + 0.0798402i) q^{36} +(0.560728 + 1.72574i) q^{37} +(3.84239 + 6.65521i) q^{38} +(-2.08727 - 3.72899i) q^{39} +(-1.50327 + 2.60375i) q^{40} +(3.20391 - 5.54391i) q^{41} +(4.40099 + 2.03005i) q^{42} +(-0.170382 + 1.62107i) q^{43} -4.31675 q^{44} +(9.01645 + 0.240043i) q^{45} +(1.11012 + 3.41660i) q^{46} +(0.0805931 - 0.766792i) q^{47} +(-0.557108 + 1.64001i) q^{48} +(0.555332 + 0.616758i) q^{49} +(-2.01967 + 3.49817i) q^{50} +(-8.17783 - 1.85233i) q^{51} +(2.41334 - 0.512972i) q^{52} +(-2.62930 - 8.09216i) q^{53} +(5.12167 - 0.876612i) q^{54} -12.9785 q^{55} +(-1.87236 + 2.07947i) q^{56} +(8.77399 + 10.0092i) q^{57} +(4.74607 + 5.27104i) q^{58} +(0.698012 - 0.310775i) q^{59} +(-1.67497 + 4.93077i) q^{60} +(-13.4408 - 5.98421i) q^{61} +(7.58982 - 5.51433i) q^{62} +(8.16180 + 1.96324i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(7.25583 - 1.54227i) q^{65} +(-7.33348 + 1.45706i) q^{66} +(-6.17267 - 1.31204i) q^{67} +(2.42054 - 4.19250i) q^{68} +(3.03915 + 5.42957i) q^{69} +(-5.62935 + 6.25202i) q^{70} +(-4.64438 + 14.2939i) q^{71} +(-0.392877 + 2.97416i) q^{72} -15.4492 q^{73} +(-1.77490 + 0.377267i) q^{74} +(-2.25034 + 6.62455i) q^{75} +(-7.02039 + 3.12568i) q^{76} +(-11.8152 - 2.51139i) q^{77} +(3.92674 - 1.68605i) 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} +(-2.47896 + 4.16468i) q^{84} +(7.27747 - 12.6049i) q^{85} +(-1.59438 - 0.338897i) q^{86} +(9.84199 + 7.35271i) q^{87} +(0.451223 - 4.29310i) q^{88} +(13.1464 - 9.55143i) q^{89} +(-1.18120 + 8.94197i) q^{90} +6.90388 q^{91} +(-3.51392 + 0.746907i) q^{92} +(11.0326 - 11.9298i) q^{93} +(0.754168 + 0.160303i) q^{94} +(-21.1072 + 9.39751i) q^{95} +(-1.57279 - 0.725483i) q^{96} +(4.19905 - 4.66352i) q^{97} +(-0.671427 + 0.487821i) q^{98} +(-11.9666 + 4.95062i) 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 $\left(\mathbb{Z}/738\mathbb{Z}\right)^\times$.

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

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 $

$2$	−0.104528	+	0.994522i	−0.0739128	+	0.703233i
$2$	−0.104528	+	0.994522i	−0.0739128	+	0.703233i
$3$	0.158109	+	1.72482i	0.0912842	+	0.995825i
$3$	0.158109	+	1.72482i	0.0912842	+	0.995825i
$4$	−0.978148	−	0.207912i	−0.489074	−	0.103956i
$5$	−2.94085	−	0.625097i	−1.31519	−	0.279552i	−0.503678	−	0.863891i	$-0.668020\pi$
$5$	−2.94085	−	0.625097i	−1.31519	−	0.279552i	−0.811509	+	0.584340i	$0.801354\pi$
$6$	−1.73190	−	0.0230499i	−0.707044	−	0.00941009i
$7$	−2.55628	−	1.13813i	−0.966185	−	0.430173i	−0.137879	−	0.990449i	$-0.544028\pi$
$7$	−2.55628	−	1.13813i	−0.966185	−	0.430173i	−0.828306	+	0.560276i	$0.810695\pi$
$8$	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
$11$	4.22242	−	0.897502i	1.27311	−	0.270607i	0.478692	−	0.877983i	$-0.341111\pi$
$11$	4.22242	−	0.897502i	1.27311	−	0.270607i	0.794415	+	0.607376i	$0.207778\pi$
$12$	0.203956	−	1.72000i	0.0588771	−	0.496521i
$13$	−2.25395	+	1.00352i	−0.625134	+	0.278327i	−0.694756	−	0.719246i	$-0.744487\pi$
$13$	−2.25395	+	1.00352i	−0.625134	+	0.278327i	0.0696217	+	0.997573i	$0.477821\pi$
$14$	1.39910	−	2.42331i	0.373925	−	0.647658i
$15$	0.613204	−	5.17126i	0.158329	−	1.33521i
$16$	0.913545	+	0.406737i	0.228386	+	0.101684i
$17$	−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	$0.900283\pi$
$18$	−0.234071	−	2.99085i	−0.0551712	−	0.704951i
$19$	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	$-0.0434688\pi$
$20$	2.74662	+	1.22287i	0.614163	+	0.273443i
$21$	1.55890	−	4.58908i	0.340180	−	1.00142i
$22$	0.451223	+	4.29310i	0.0962010	+	0.915292i
$23$	3.28184	−	1.46117i	0.684312	−	0.304675i	−0.0349752	−	0.999388i	$-0.511135\pi$
$23$	3.28184	−	1.46117i	0.684312	−	0.304675i	0.719287	+	0.694713i	$0.244469\pi$
$24$	1.68926	+	0.382628i	0.344819	+	0.0781036i
$25$	3.69011	+	1.64294i	0.738023	+	0.328589i
$26$	−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
$29$	4.74607	−	5.27104i	0.881322	−	0.978808i	−0.118578	−	0.992945i	$-0.537833\pi$
$29$	4.74607	−	5.27104i	0.881322	−	0.978808i	0.999900	+	0.0141371i	$0.00450014\pi$
$30$	5.07884	+	1.15039i	0.927265	+	0.210031i
$31$	−6.27747	−	6.97184i	−1.12747	−	1.25218i	−0.964079	−	0.265617i	$-0.914424\pi$
$31$	−6.27747	−	6.97184i	−1.12747	−	1.25218i	−0.163388	−	0.986562i	$-0.552242\pi$
$32$	−0.500000	+	0.866025i	−0.0883883	+	0.153093i
$33$	2.21563	+	7.14100i	0.385692	+	1.24309i
$34$	−4.42254	−	1.96904i	−0.758460	−	0.337688i
$35$	6.80620	+	4.94499i	1.15046	+	0.835857i
$36$	2.99894	+	0.0798402i	0.499823	+	0.0133067i
$37$	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
$39$	−2.08727	−	3.72899i	−0.334230	−	0.597117i
$40$	−1.50327	+	2.60375i	−0.237689	+	0.411689i
$41$	3.20391	−	5.54391i	0.500367	−	0.865814i
$41$	3.20391	−	5.54391i	0.500367	−	0.865814i
$42$	4.40099	+	2.03005i	0.679087	+	0.313243i
$43$	−0.170382	+	1.62107i	−0.0259830	+	0.247212i	0.973819	+	0.227324i	$0.0729976\pi$
$43$	−0.170382	+	1.62107i	−0.0259830	+	0.247212i	−0.999802	+	0.0198878i	$0.993669\pi$
$44$	−4.31675			−0.650774
$45$	9.01645	+	0.240043i	1.34409	+	0.0357836i
$46$	1.11012	+	3.41660i	0.163678	+	0.503750i
$47$	0.0805931	−	0.766792i	0.0117557	−	0.111848i	−0.987070	−	0.160287i	$-0.948758\pi$
$47$	0.0805931	−	0.766792i	0.0117557	−	0.111848i	0.998826	+	0.0484390i	$0.0154246\pi$
$48$	−0.557108	+	1.64001i	−0.0804115	+	0.236715i
$49$	0.555332	+	0.616758i	0.0793331	+	0.0881083i
$50$	−2.01967	+	3.49817i	−0.285624	+	0.494715i
$51$	−8.17783	−	1.85233i	−1.14513	−	0.259378i
$52$	2.41334	−	0.512972i	0.334670	−	0.0711364i
$53$	−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	$-0.298659\pi$
$54$	5.12167	−	0.876612i	0.696972	−	0.119292i
$55$	−12.9785			−1.75002
$56$	−1.87236	+	2.07947i	−0.250205	+	0.277881i
$57$	8.77399	+	10.0092i	1.16214	+	1.32575i
$58$	4.74607	+	5.27104i	0.623189	+	0.692122i
$59$	0.698012	−	0.310775i	0.0908734	−	0.0404594i	−0.360797	−	0.932645i	$-0.617495\pi$
$59$	0.698012	−	0.310775i	0.0908734	−	0.0404594i	0.451670	+	0.892185i	$0.350828\pi$
$60$	−1.67497	+	4.93077i	−0.216238	+	0.636559i
$61$	−13.4408	−	5.98421i	−1.72091	−	0.766200i	−0.997092	−	0.0762133i	$-0.975717\pi$
$61$	−13.4408	−	5.98421i	−1.72091	−	0.766200i	−0.723822	−	0.689987i	$-0.757616\pi$
$62$	7.58982	−	5.51433i	0.963908	−	0.700320i
$63$	8.16180	+	1.96324i	1.02829	+	0.247346i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	7.25583	−	1.54227i	0.899975	−	0.191296i
$66$	−7.33348	+	1.45706i	−0.902689	+	0.179351i
$67$	−6.17267	−	1.31204i	−0.754112	−	0.160292i	−0.185213	−	0.982698i	$-0.559297\pi$
$67$	−6.17267	−	1.31204i	−0.754112	−	0.160292i	−0.568900	+	0.822407i	$0.692631\pi$
$68$	2.42054	−	4.19250i	0.293533	−	0.508415i
$69$	3.03915	+	5.42957i	0.365870	+	0.653643i
$70$	−5.62935	+	6.25202i	−0.672836	+	0.747260i
$71$	−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	$0.749415\pi$
$72$	−0.392877	+	2.97416i	−0.0463010	+	0.350509i
$73$	−15.4492			−1.80819			−0.904095	−	0.427331i	$-0.859454\pi$
$73$	−15.4492			−1.80819			−0.904095	+	0.427331i	$0.859454\pi$
$74$	−1.77490	+	0.377267i	−0.206328	+	0.0438564i
$75$	−2.25034	+	6.62455i	−0.259847	+	0.764937i
$76$	−7.02039	+	3.12568i	−0.805294	+	0.358540i
$77$	−11.8152	−	2.51139i	−1.34646	−	0.286200i
$78$	3.92674	−	1.68605i	0.444616	−	0.190907i
$79$	1.54668	+	2.67893i	0.174015	+	0.301403i	0.939820	−	0.341670i	$-0.110992\pi$
$79$	1.54668	+	2.67893i	0.174015	+	0.301403i	−0.765805	+	0.643073i	$0.777659\pi$
$80$	−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	0.999116	−	0.0420275i	$-0.0133817\pi$
$83$	4.21960	+	7.30856i	0.463161	+	0.802219i	−0.535955	+	0.844246i	$0.680048\pi$
$84$	−2.47896	+	4.16468i	−0.270476	+	0.454404i
$85$	7.27747	−	12.6049i	0.789352	−	1.36720i
$86$	−1.59438	−	0.338897i	−0.171927	−	0.0365442i
$87$	9.84199	+	7.35271i	1.05517	+	0.788293i
$88$	0.451223	−	4.29310i	0.0481005	−	0.457646i
$89$	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	$-0.0303124\pi$
$90$	−1.18120	+	8.94197i	−0.124510	+	0.942566i
$91$	6.90388			0.723724
$92$	−3.51392	+	0.746907i	−0.366352	+	0.0778705i
$93$	11.0326	−	11.9298i	1.14403	−	1.23706i
$94$	0.754168	+	0.160303i	0.0777864	+	0.0165340i
$95$	−21.1072	+	9.39751i	−2.16555	+	0.964164i
$96$	−1.57279	−	0.725483i	−0.160522	−	0.0740443i
$97$	4.19905	−	4.66352i	0.426349	−	0.473509i	−0.491248	−	0.871020i	$-0.663459\pi$
$97$	4.19905	−	4.66352i	0.426349	−	0.473509i	0.917598	+	0.397511i	$0.130126\pi$
$98$	−0.671427	+	0.487821i	−0.0678244	+	0.0492773i
$99$	−11.9666	+	4.95062i	−1.20269	+	0.497556i
$100$	−3.26789	−	2.37426i	−0.326789	−	0.237426i
$101$	−6.29756	−	2.80386i	−0.626631	−	0.278994i	0.0687517	−	0.997634i	$-0.478098\pi$
$101$	−6.29756	−	2.80386i	−0.626631	−	0.278994i	−0.695383	+	0.718640i	$0.744765\pi$
$102$	2.69700	−	7.93941i	0.267043	−	0.786119i
$103$	−2.03546	−	19.3661i	−0.200560	−	1.90820i	−0.380939	−	0.924600i	$-0.624399\pi$
$103$	−2.03546	−	19.3661i	−0.200560	−	1.90820i	0.180379	−	0.983597i	$-0.442268\pi$
$104$	0.257899	+	2.45374i	0.0252890	+	0.240609i
$105$	−7.45310	+	12.5213i	−0.727348	+	1.22196i
$106$	8.32266	−	1.76904i	0.808369	−	0.171824i
$107$	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	$0.236692\pi$
$108$	0.336449	+	5.18525i	0.0323748	+	0.498951i
$109$	12.5948			1.20636			0.603181	−	0.797605i	$-0.293900\pi$
$109$	12.5948			1.20636			0.603181	+	0.797605i	$0.293900\pi$
$110$	1.35662	−	12.9074i	0.129349	−	1.23067i
$111$	−2.88794	+	1.24001i	−0.274111	+	0.117697i
$112$	−1.87236	−	2.07947i	−0.176922	−	0.196491i
$113$	6.29928	+	6.99606i	0.592587	+	0.658134i	0.962611	−	0.270888i	$-0.0873172\pi$
$113$	6.29928	+	6.99606i	0.592587	+	0.658134i	−0.370024	+	0.929022i	$0.620651\pi$
$114$	−10.8715	+	7.67968i	−1.01821	+	0.719267i
$115$	−10.5648	+	2.24561i	−0.985171	+	0.209405i
$116$	−5.73826	+	4.16909i	−0.532784	+	0.387091i
$117$	6.10182	−	4.18975i	0.564114	−	0.387342i
$118$	0.236110	+	0.726673i	0.0217357	+	0.0668957i
$119$	9.06425	−	10.0669i	0.830918	−	0.922828i
$120$	−4.72867	−	2.18120i	−0.431667	−	0.199115i
$121$	6.97428	−	3.10515i	0.634026	−	0.282286i
$122$	7.35637	−	12.7416i	0.666015	−	1.15357i
$123$	10.0688	+	4.64962i	0.907874	+	0.419242i
$124$	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	$0.911104\pi$
$128$	0.669131	−	0.743145i	0.0591433	−	0.0656853i
$129$	−2.82300	−	0.0375715i	−0.248551	−	0.00330798i
$130$	0.775385	+	7.37729i	0.0680057	+	0.647031i
$131$	−6.52646	−	7.24837i	−0.570220	−	0.633293i	0.387199	−	0.921996i	$-0.373443\pi$
$131$	−6.52646	−	7.24837i	−0.570220	−	0.633293i	−0.957419	+	0.288703i	$0.906776\pi$
$132$	−0.682516	−	7.44561i	−0.0594054	−	0.648057i
$133$	−21.0337	+	4.47084i	−1.82385	+	0.387671i
$134$	1.95008	−	6.00171i	0.168461	−	0.518469i
$135$	1.01155	+	15.5897i	0.0870603	+	1.34175i
$136$	3.91651	+	2.84551i	0.335838	+	0.244001i
$137$	−5.94833	−	10.3028i	−0.508200	−	0.880228i	−0.999955	−	0.00949469i	$-0.996978\pi$
$137$	−5.94833	−	10.3028i	−0.508200	−	0.880228i	0.491755	−	0.870734i	$-0.336356\pi$
$138$	−5.71750	+	2.45495i	−0.486706	+	0.208979i
$139$	−0.0755571	−	0.718878i	−0.00640867	−	0.0609744i	0.990850	−	0.134967i	$-0.0430927\pi$
$139$	−0.0755571	−	0.718878i	−0.00640867	−	0.0609744i	−0.997259	+	0.0739921i	$0.976426\pi$
$140$	−5.62935	−	6.25202i	−0.475767	−	0.528392i
$141$	1.33532	+	0.0177719i	0.112454	+	0.00149666i
$142$	−13.7302	−	6.11306i	−1.15221	−	0.512997i
$143$	−8.61646	+	6.26022i	−0.720544	+	0.523506i
$144$	−2.91680	−	0.701610i	−0.243067	−	0.0584675i
$145$	−17.2524	+	12.5346i	−1.43273	+	1.04094i
$146$	1.61488	−	15.3646i	0.133648	−	1.27158i
$147$	−0.975994	+	1.05536i	−0.0804986	+	0.0870448i
$148$	−0.189673	−	1.80461i	−0.0155910	−	0.148338i
$149$	6.21496	+	1.32103i	0.509150	+	0.108223i	0.455321	−	0.890327i	$-0.349524\pi$
$149$	6.21496	+	1.32103i	0.509150	+	0.108223i	0.0538282	+	0.998550i	$0.482858\pi$
$150$	−6.35303	−	2.93047i	−0.518723	−	0.239272i
$151$	0.944231	−	8.98376i	0.0768404	−	0.731088i	−0.886486	−	0.462755i	$-0.846861\pi$
$151$	0.944231	−	8.98376i	0.0768404	−	0.731088i	0.963326	−	0.268332i	$-0.0864725\pi$
$152$	−2.37473	−	7.30866i	−0.192616	−	0.592810i
$153$	1.90195	−	14.3982i	0.153763	−	1.16402i
$154$	3.73266	−	11.4879i	0.300786	−	0.925724i
$155$	14.1030	+	24.4271i	1.13278	+	1.96204i
$156$	1.26635	+	4.08147i	0.101389	+	0.326779i
$157$	0.442574	+	4.21081i	0.0353212	+	0.336059i	0.997885	+	0.0650037i	$0.0207059\pi$
$157$	0.442574	+	4.21081i	0.0353212	+	0.336059i	−0.962564	+	0.271055i	$0.912627\pi$
$158$	−2.82593	+	1.25818i	−0.224819	+	0.100096i
$159$	13.5418	−	5.81451i	1.07393	−	0.461121i
$160$	2.01177	−	2.23430i	0.159045	−	0.176637i
$161$	−10.0523			−0.792235
$162$	2.32178	+	8.69536i	0.182416	+	0.683172i
$163$	−7.46387			−0.584615			−0.292308	−	0.956324i	$-0.594423\pi$
$163$	−7.46387			−0.584615			−0.292308	+	0.956324i	$0.594423\pi$
$164$	−4.28654	+	4.75663i	−0.334723	+	0.371431i
$165$	−2.05202	−	22.3856i	−0.159749	−	1.74272i
$166$	−7.70959	+	3.43253i	−0.598381	+	0.266416i
$167$	2.71295	−	4.69897i	0.209934	−	0.363617i	−0.741759	−	0.670666i	$-0.766008\pi$
$167$	2.71295	−	4.69897i	0.209934	−	0.363617i	0.951694	+	0.307049i	$0.0993417\pi$
$168$	−3.88274	−	2.90070i	−0.299560	−	0.223794i
$169$	−4.62546	+	5.13709i	−0.355805	+	0.395161i
$170$	11.7752	+	8.55517i	0.903116	+	0.656152i
$171$	−15.8769	+	16.7161i	−1.21413	+	1.27831i
$172$	0.503699	−	1.55023i	0.0384067	−	0.118204i
$173$	−6.17754	−	10.6998i	−0.469670	−	0.813492i	0.529729	−	0.848167i	$-0.322294\pi$
$173$	−6.17754	−	10.6998i	−0.469670	−	0.813492i	−0.999399	+	0.0346753i	$0.988960\pi$
$174$	−8.34120	+	9.01950i	−0.632344	+	0.683767i
$175$	−7.56309	−	8.39967i	−0.571716	−	0.634955i
$176$	4.22242	+	0.897502i	0.318277	+	0.0676518i
$177$	0.646392	+	1.15481i	0.0485858	+	0.0868007i
$178$	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	$-0.253223\pi$
$180$	−8.76951	−	2.10942i	−0.653641	−	0.157227i
$181$	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	$-0.0420301\pi$
$182$	−0.721652	+	6.86606i	−0.0534924	+	0.508946i
$183$	8.19658	−	24.1290i	0.605909	−	1.78367i
$184$	−0.375511	−	3.57275i	−0.0276830	−	0.263386i
$185$	−0.570260	−	5.42566i	−0.0419263	−	0.398902i
$186$	10.7112	+	12.2192i	0.785386	+	0.895955i
$187$	−2.18440	+	20.7832i	−0.159739	+	1.51982i
$188$	−0.238257	+	0.733280i	−0.0173767	+	0.0534799i
$189$	−2.09579	+	14.3880i	−0.152446	+	1.04658i
$190$	−7.13973	−	21.9738i	−0.517971	−	1.59415i
$191$	9.90243	+	17.1515i	0.716514	+	1.24104i	0.962373	+	0.271734i	$0.0875970\pi$
$191$	9.90243	+	17.1515i	0.716514	+	1.24104i	−0.245858	+	0.969306i	$0.579070\pi$
$192$	0.885911	−	1.48834i	0.0639351	−	0.107412i
$193$	14.9643	+	3.18075i	1.07715	+	0.228956i	0.712133	−	0.702044i	$-0.247729\pi$
$193$	14.9643	+	3.18075i	1.07715	+	0.228956i	0.365019	+	0.931000i	$0.381063\pi$
$194$	4.19905	+	4.66352i	0.301475	+	0.334821i
$195$	3.80736	+	12.2711i	0.272650	+	0.878755i
$196$	−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	$0.760958\pi$
$198$	−3.67265	−	12.4186i	−0.261004	−	0.882548i
$199$	−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	$0.732892\pi$
$200$	2.70284	−	3.00181i	0.191120	−	0.212260i
$201$	1.28708	−	10.8542i	0.0907837	−	0.765596i
$202$	3.44677	−	5.96998i	0.242514	−	0.420046i
$203$	−18.1314	+	8.07263i	−1.27258	+	0.566588i
$204$	7.61401	+	3.51212i	0.533087	+	0.245898i
$205$	−12.8877	+	14.3011i	−0.900115	+	0.998829i
$206$	19.4728			1.35673
$207$	−8.88450	+	6.10044i	−0.617516	+	0.424010i
$208$	−2.46726			−0.171074
$209$	22.1972	−	24.6525i	1.53541	−	1.70525i
$210$	−11.6737	−	8.72111i	−0.805559	−	0.601813i
$211$	−12.1533	+	5.41102i	−0.836671	+	0.372510i	−0.779921	−	0.625878i	$-0.784741\pi$
$211$	−12.1533	+	5.41102i	−0.836671	+	0.372510i	−0.0567504	+	0.998388i	$0.518074\pi$
$212$	0.889391	+	8.46199i	0.0610836	+	0.581172i
$213$	−25.3888	−	5.75072i	−1.73961	−	0.394033i
$214$	2.04377	+	3.53991i	0.139709	+	0.241984i
$215$	1.51440	−	4.66083i	0.103281	−	0.317866i
$216$	−5.19201	−	0.207400i	−0.353272	−	0.0141118i
$217$	8.11213	+	24.9666i	0.550687	+	1.69484i
$218$	−1.31651	+	12.5258i	−0.0891655	+	0.848353i
$219$	−2.44265	−	26.6471i	−0.165059	−	1.80064i
$220$	12.6949	+	2.69838i	0.855890	+	0.181925i
$221$	−1.24851	−	11.8788i	−0.0839837	−	0.799051i
$222$	−0.931345	−	3.00173i	−0.0625078	−	0.201463i
$223$	0.880533	−	8.37771i	0.0589648	−	0.561013i	−0.924661	−	0.380791i	$-0.875652\pi$
$223$	0.880533	−	8.37771i	0.0589648	−	0.561013i	0.983626	−	0.180222i	$-0.0576816\pi$
$224$	2.26379	−	1.64474i	0.151256	−	0.109894i
$225$	−11.7819	−	2.83404i	−0.785463	−	0.188936i
$226$	−7.61619	+	5.53349i	−0.506622	+	0.368082i
$227$	−3.69133	−	1.64348i	−0.245002	−	0.109082i	0.280562	−	0.959836i	$-0.409479\pi$
$227$	−3.69133	−	1.64348i	−0.245002	−	0.109082i	−0.525564	+	0.850754i	$0.676146\pi$
$228$	−6.50122	−	11.6147i	−0.430554	−	0.769203i
$229$	10.1501	+	11.2728i	0.670739	+	0.744931i	0.978435	−	0.206554i	$-0.0662248\pi$
$229$	10.1501	+	11.2728i	0.670739	+	0.744931i	−0.307697	+	0.951485i	$0.599558\pi$
$230$	−1.12899	−	10.7416i	−0.0744435	−	0.708283i
$231$	2.46361	−	20.7761i	0.162094	−	1.36697i
$232$	−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	$0.841525\pi$
$234$	3.52898	+	6.50635i	0.230697	+	0.425333i
$235$	−0.716331	+	2.20464i	−0.0467283	+	0.143815i
$236$	−0.747372	+	0.158859i	−0.0486498	+	0.0103408i
$237$	−4.37613	+	3.09131i	−0.284260	+	0.200802i
$238$	9.06425	+	10.0669i	0.587548	+	0.652538i
$239$	0.315974	+	3.00629i	0.0204387	+	0.194461i	0.999977	−	0.00679731i	$-0.00216367\pi$
$239$	0.315974	+	3.00629i	0.0204387	+	0.194461i	−0.979538	+	0.201258i	$0.935497\pi$
$240$	2.66353	−	4.47477i	0.171930	−	0.288845i
$241$	−11.6313	+	12.9179i	−0.749239	+	0.832114i	−0.990380	−	0.138376i	$-0.955812\pi$
$241$	−11.6313	+	12.9179i	−0.749239	+	0.832114i	0.241141	+	0.970490i	$0.422478\pi$
$242$	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
$246$	−5.67663	+	9.52764i	−0.361929	+	0.607460i
$247$	−9.48016	+	16.4201i	−0.603208	+	1.04479i
$248$	−8.57046	+	3.81581i	−0.544225	+	0.242304i
$249$	−11.9388	+	8.43360i	−0.756590	+	0.534458i
$250$	−1.93264	+	2.14642i	−0.122231	+	0.135751i
$251$	−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	$0.911962\pi$
$252$	−7.57527	−	3.61728i	−0.477197	−	0.227867i
$253$	12.5459	−	9.11514i	0.788754	−	0.573064i
$254$	0.768879	−	0.163430i	0.0482438	−	0.0102545i
$255$	22.8919	+	10.5594i	1.43354	+	0.661253i
$256$	0.669131	+	0.743145i	0.0418207	+	0.0464466i
$257$	−1.39616	−	1.55059i	−0.0870899	−	0.0967231i	0.698025	−	0.716074i	$-0.254063\pi$
$257$	−1.39616	−	1.55059i	−0.0870899	−	0.0967231i	−0.785114	+	0.619351i	$0.787396\pi$
$258$	0.332449	−	2.80361i	0.0206974	−	0.174545i
$259$	0.530742	−	5.04967i	0.0329787	−	0.313771i
$260$	−7.41793			−0.460040
$261$	−11.1260	+	18.1382i	−0.688681	+	1.12273i
$262$	7.89086	−	5.73305i	0.487499	−	0.354189i
$263$	−1.56367	+	0.332368i	−0.0964198	+	0.0204947i	−0.255869	−	0.966711i	$-0.582362\pi$
$263$	−1.56367	+	0.332368i	−0.0964198	+	0.0204947i	0.159449	+	0.987206i	$0.449028\pi$
$264$	7.47616	+	0.0995007i	0.460126	+	0.00612384i
$265$	2.67400	+	25.4414i	0.164262	+	1.56285i
$266$	−2.24773	−	21.3858i	−0.137817	−	1.31124i
$267$	18.5531	+	21.1650i	1.13543	+	1.29528i
$268$	5.76500	+	2.56674i	0.352153	+	0.156789i
$269$	−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	$0.856620\pi$
$270$	−15.6100	−	0.623559i	−0.949996	−	0.0379486i
$271$	−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	$0.332849\pi$
$272$	−3.23931	+	3.59762i	−0.196412	+	0.218138i
$273$	1.09157	+	11.9080i	0.0660645	+	0.720702i
$274$	10.8681	−	4.83881i	0.656568	−	0.292323i
$275$	17.0557	+	3.62531i	1.02850	+	0.218614i
$276$	−1.84386	−	5.94279i	−0.110988	−	0.357714i
$277$	16.7020	−	3.55012i	1.00353	−	0.213306i	0.323290	−	0.946300i	$-0.395211\pi$
$277$	16.7020	−	3.55012i	1.00353	−	0.213306i	0.680235	+	0.732994i	$0.261878\pi$
$278$	0.722837			0.0433529
$279$	22.3211	+	17.1431i	1.33633	+	1.02633i
$280$	6.80620	−	4.94499i	0.406748	−	0.295520i
$281$	1.30744	−	12.4394i	0.0779952	−	0.742075i	−0.883718	−	0.468019i	$-0.844968\pi$
$281$	1.30744	−	12.4394i	0.0779952	−	0.742075i	0.961714	−	0.274056i	$-0.0883654\pi$
$282$	−0.157254	+	1.32615i	−0.00936431	+	0.0789710i
$283$	8.36127	+	1.77724i	0.497026	+	0.105646i	0.449603	−	0.893229i	$-0.351566\pi$
$283$	8.36127	+	1.77724i	0.497026	+	0.105646i	0.0474235	+	0.998875i	$0.484899\pi$
$284$	7.51477	−	13.0160i	0.445919	−	0.772355i
$285$	−19.5462	−	34.9202i	−1.15782	−	2.06849i
$286$	−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
$291$	8.70764	+	6.50527i	0.510451	+	0.381345i
$292$	15.1116	+	3.21207i	0.884338	+	0.187972i
$293$	−20.4327	+	9.09722i	−1.19369	+	0.531465i	−0.904775	−	0.425890i	$-0.859961\pi$
$293$	−20.4327	+	9.09722i	−1.19369	+	0.531465i	−0.288915	+	0.957355i	$0.593295\pi$
$294$	−0.947561	−	1.08096i	−0.0552629	−	0.0630430i
$295$	−2.24701	+	0.477617i	−0.130826	+	0.0278079i
$296$	1.81455			0.105469
$297$	−10.4310	−	19.8575i	−0.605265	−	1.15225i
$298$	−1.96344	+	6.04283i	−0.113739	+	0.350052i
$299$	−5.93080	+	6.58682i	−0.342987	+	0.380926i
$300$	3.57849	−	6.01191i	0.206604	−	0.347098i
$301$	2.28054	−	3.95001i	0.131448	−	0.227675i
$302$	8.83584	+	1.87812i	0.508446	+	0.108073i
$303$	3.84044	−	11.3055i	0.220628	−	0.649482i
$304$	7.51685	−	1.59776i	0.431121	−	0.0916375i
$305$	35.7865	+	26.0004i	2.04913	+	1.48878i
$306$	14.1205	+	3.39655i	0.807214	+	0.194168i
$307$	−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	$0.441932\pi$
$308$	11.0348	+	4.91302i	0.628768	+	0.279945i
$309$	33.0812	−	6.57275i	1.88192	−	0.373911i
$310$	−25.7675	+	11.4724i	−1.46350	+	0.651590i
$311$	−2.51457	−	2.79271i	−0.142588	−	0.158360i	0.667620	−	0.744502i	$-0.267313\pi$
$311$	−2.51457	−	2.79271i	−0.142588	−	0.158360i	−0.810209	+	0.586142i	$0.800646\pi$
$312$	−4.19148	+	0.832787i	−0.237296	+	0.0471473i
$313$	18.7662	−	20.8419i	1.06073	−	1.17806i	0.0772506	−	0.997012i	$-0.475386\pi$
$313$	18.7662	−	20.8419i	1.06073	−	1.17806i	0.983475	−	0.181044i	$-0.0579475\pi$
$314$	−4.23400			−0.238938
$315$	−22.7754	−	10.8755i	−1.28325	−	0.612766i
$316$	−0.955902	−	2.94196i	−0.0537737	−	0.165498i
$317$	−11.8811	+	2.52541i	−0.667309	+	0.141841i	−0.529096	−	0.848562i	$-0.677469\pi$
$317$	−11.8811	+	2.52541i	−0.667309	+	0.141841i	−0.138213	+	0.990403i	$0.544136\pi$
$318$	4.36716	+	14.0754i	0.244898	+	0.789309i
$319$	15.3091	−	26.5161i	0.857145	−	1.48462i
$320$	2.01177	+	2.23430i	0.112462	+	0.124901i
$321$	4.66689	+	5.32392i	0.260481	+	0.297152i
$322$	1.05075	−	9.99726i	0.0585563	−	0.557126i
$323$	11.4962	+	35.3818i	0.639668	+	1.96869i
$324$	−8.89042	+	1.40015i	−0.493912	+	0.0777860i
$325$	−9.96608			−0.552818
$326$	0.780187	−	7.42298i	0.0432105	−	0.411121i
$327$	1.99135	+	21.7237i	0.110122	+	1.20132i
$328$	−4.28251	−	4.76026i	−0.236462	−	0.262842i
$329$	−1.07873	+	1.86841i	−0.0594723	+	0.103009i
$330$	22.4774	+	0.299154i	1.23734	+	0.0164679i
$331$	−4.35149	−	7.53701i	−0.239180	−	0.414272i	0.721299	−	0.692623i	$-0.243545\pi$
$331$	−4.35149	−	7.53701i	−0.239180	−	0.414272i	−0.960479	+	0.278352i	$0.910212\pi$
$332$	−2.60786	−	8.02616i	−0.143125	−	0.440493i
$333$	−2.59540	−	4.78512i	−0.142227	−	0.262223i
$334$	4.38964	+	3.18926i	0.240191	+	0.174509i
$335$	17.3327	+	7.71704i	0.946989	+	0.421627i
$336$	3.29067	−	3.55827i	0.179521	−	0.194119i
$337$	17.9336	−	31.0619i	0.976905	−	1.69205i	0.303406	−	0.952861i	$-0.401876\pi$
$337$	17.9336	−	31.0619i	0.976905	−	1.69205i	0.673499	−	0.739188i	$-0.264791\pi$
$338$	−4.62546	−	5.13709i	−0.251592	−	0.279421i
$339$	−11.0710	+	11.9713i	−0.601293	+	0.650190i
$340$	−9.73915	+	10.8164i	−0.528180	+	0.586603i
$341$	−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
$344$	1.48908	+	0.662982i	0.0802860	+	0.0357456i
$345$	−5.54366	−	17.8673i	−0.298461	−	0.961942i
$346$	11.2869	−	5.02526i	0.606789	−	0.270160i
$347$	0.585167	+	5.56749i	0.0314134	+	0.298879i	0.998937	+	0.0460976i	$0.0146785\pi$
$347$	0.585167	+	5.56749i	0.0314134	+	0.298879i	−0.967524	+	0.252781i	$0.918655\pi$
$348$	−8.09820	−	9.23830i	−0.434109	−	0.495225i
$349$	9.00556	+	4.00953i	0.482057	+	0.214625i	0.633353	−	0.773863i	$-0.281678\pi$
$349$	9.00556	+	4.00953i	0.482057	+	0.214625i	−0.151296	+	0.988488i	$0.548345\pi$
$350$	9.14421	−	6.64366i	0.488779	−	0.355119i
$351$	8.19131	+	9.86211i	0.437220	+	0.526400i
$352$	−1.33395	+	4.10547i	−0.0710997	+	0.218822i
$353$	20.1532	+	8.97279i	1.07265	+	0.477573i	0.865589	−	0.500755i	$-0.166944\pi$
$353$	20.1532	+	8.97279i	1.07265	+	0.477573i	0.207059	+	0.978329i	$0.433611\pi$
$354$	−1.21605	+	0.522141i	−0.0646322	+	0.0277515i
$355$	22.5935	−	39.1331i	1.19914	−	2.07697i
$356$	−14.8450	+	6.60942i	−0.786783	+	0.350298i
$357$	18.7967	+	14.0425i	0.994825	+	0.743209i
$358$	12.1180	−	2.57576i	0.640456	−	0.136133i
$359$	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
$362$	10.6077	+	4.72286i	0.557529	+	0.248228i
$363$	6.45852	+	11.5384i	0.338984	+	0.605610i
$364$	−6.75302	−	1.43540i	−0.353954	−	0.0752353i
$365$	45.4337	+	9.65723i	2.37811	+	0.505483i
$366$	23.1401	+	10.6739i	1.20955	+	0.557931i
$367$	0.217440	−	2.06880i	0.0113503	−	0.107991i	−0.987380	−	0.158370i	$-0.949376\pi$
$367$	0.217440	−	2.06880i	0.0113503	−	0.107991i	0.998730	+	0.0503790i	$0.0160429\pi$
$368$	3.59243			0.187268
$369$	−6.42779	+	18.1020i	−0.334617	+	0.942354i
$370$	5.45554			0.283620
$371$	−2.48869	+	23.6783i	−0.129207	+	1.22932i
$372$	−13.2719	+	9.37530i	−0.688116	+	0.486087i
$373$	−3.78892	−	0.805359i	−0.196183	−	0.0416999i	0.108772	−	0.994067i	$-0.465308\pi$
$373$	−3.78892	−	0.805359i	−0.196183	−	0.0416999i	−0.304955	+	0.952367i	$0.598641\pi$
$374$	−20.4410	−	4.34488i	−1.05698	−	0.224668i
$375$	−2.55877	+	4.29876i	−0.132134	+	0.221987i
$376$	−0.704358	−	0.313601i	−0.0363245	−	0.0161727i
$377$	−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	$0.824723\pi$
$380$	22.5998	−	4.80373i	1.15934	−	0.246426i
$381$	1.25104	−	0.537166i	0.0640928	−	0.0275199i
$382$	−18.0926	+	8.05536i	−0.925700	+	0.412148i
$383$	6.71306	−	11.6274i	0.343021	−	0.594130i	−0.641971	−	0.766729i	$-0.721883\pi$
$383$	6.71306	−	11.6274i	0.343021	−	0.594130i	0.984992	+	0.172599i	$0.0552164\pi$
$384$	1.38759	+	1.03663i	0.0708100	+	0.0529004i
$385$	33.1768	+	14.7712i	1.69084	+	0.752812i
$386$	−4.72752	+	14.5498i	−0.240625	+	0.740566i
$387$	−0.381538	−	4.87511i	−0.0193946	−	0.247816i
$388$	−5.07690	+	3.68858i	−0.257740	+	0.187259i
$389$	−15.7566	−	7.01530i	−0.798892	−	0.355690i	−0.0336511	−	0.999434i	$-0.510713\pi$
$389$	−15.7566	−	7.01530i	−0.798892	−	0.355690i	−0.765241	+	0.643744i	$0.777380\pi$
$390$	−12.6019	+	2.50381i	−0.638122	+	0.126786i
$391$	1.81788	+	17.2959i	0.0919340	+	0.874693i
$392$	0.758179	−	0.337563i	0.0382938	−	0.0170495i
$393$	11.4702	−	12.4030i	0.578597	−	0.625649i
$394$	−22.4351	−	9.98875i	−1.13026	−	0.503226i
$395$	−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	$0.887852\pi$
$398$	1.94731	−	2.16271i	0.0976099	−	0.108407i
$399$	−11.0370	−	35.5724i	−0.552541	−	1.78085i
$400$	2.70284	+	3.00181i	0.135142	+	0.150090i
$401$	−7.78692	+	13.4873i	−0.388860	+	0.673526i	−0.992297	−	0.123886i	$-0.960464\pi$
$401$	−7.78692	+	13.4873i	−0.388860	+	0.673526i	0.603436	+	0.797411i	$0.293798\pi$
$402$	10.6602	+	2.41460i	0.531682	+	0.120429i
$403$	21.1455	+	9.41459i	1.05333	+	0.468974i
$404$	5.57699	+	4.05192i	0.277466	+	0.201591i
$405$	−26.7295	+	4.20961i	−1.32820	+	0.209177i
$406$	−6.13316	−	18.8759i	−0.304384	−	0.936796i
$407$	3.91648	+	6.78355i	0.194133	+	0.336248i
$408$	−4.28876	+	7.20518i	−0.212325	+	0.356709i
$409$	2.21404	−	3.83483i	0.109477	−	0.189620i	−0.806081	−	0.591805i	$-0.798416\pi$
$409$	2.21404	−	3.83483i	0.109477	−	0.189620i	0.915559	+	0.402185i	$0.131749\pi$
$410$	−12.8756	−	14.3120i	−0.635879	−	0.706817i
$411$	16.8300	−	11.8888i	0.830163	−	0.586429i
$412$	−2.03546	+	19.3661i	−0.100280	+	0.954099i
$413$	−2.13802			−0.105205
$414$	−5.13834	−	9.47350i	−0.252536	−	0.465597i
$415$	−7.84065	−	24.1310i	−0.384882	−	1.18455i
$416$	0.257899	−	2.45374i	0.0126445	−	0.120305i
$417$	1.22799	−	0.243983i	0.0601348	−	0.0119479i
$418$	22.1972	+	24.6525i	1.08570	+	1.20579i
$419$	−5.17737	+	8.96747i	−0.252931	+	0.438090i	−0.964332	−	0.264697i	$-0.914728\pi$
$419$	−5.17737	+	8.96747i	−0.252931	+	0.438090i	0.711400	+	0.702787i	$0.248061\pi$
$420$	9.89356	−	10.6981i	0.482756	−	0.522014i
$421$	12.9388	−	2.75023i	0.630600	−	0.134038i	0.118486	−	0.992956i	$-0.462196\pi$
$421$	12.9388	−	2.75023i	0.630600	−	0.134038i	0.512114	+	0.858918i	$0.328863\pi$
$422$	−4.11101	−	12.6524i	−0.200121	−	0.615908i
$423$	0.180473	+	2.30600i	0.00877489	+	0.112121i
$424$	−8.50860			−0.413214
$425$	−13.0847	+	14.5320i	−0.634699	+	0.704905i
$426$	8.37307	−	24.6486i	0.405676	−	1.19423i
$427$	27.5476	+	30.5947i	1.33312	+	1.48058i
$428$	−3.73415	+	1.66255i	−0.180497	+	0.0803625i
$429$	−12.1601	−	13.8720i	−0.587095	−	0.669748i
$430$	4.47700	+	1.99329i	0.215900	+	0.0961249i
$431$	−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	$0.545706\pi$
$432$	0.748977	−	5.14189i	0.0360352	−	0.247389i
$433$	−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	$0.781525\pi$
$434$	−25.6778	+	5.45798i	−1.23257	+	0.261991i
$435$	−24.3476	−	27.7754i	−1.16738	−	1.33173i
$436$	−12.3196	−	2.61860i	−0.590000	−	0.125408i
$437$	13.8035	−	23.9084i	0.660311	−	1.14369i
$438$	26.7564	+	0.356102i	1.27847	+	0.0170152i
$439$	−0.154512	+	0.171603i	−0.00737446	+	0.00819016i	−0.746821	−	0.665025i	$-0.768421\pi$
$439$	−0.154512	+	0.171603i	−0.00737446	+	0.00819016i	0.739446	+	0.673216i	$0.235087\pi$
$440$	−4.01058	+	12.3433i	−0.191197	+	0.588444i
$441$	−1.97462	−	1.51655i	−0.0940296	−	0.0722167i
$442$	11.9442			0.568127
$443$	−3.08765	+	0.656299i	−0.146698	+	0.0311817i	−0.280676	−	0.959803i	$-0.590558\pi$
$443$	−3.08765	+	0.656299i	−0.146698	+	0.0311817i	0.133977	+	0.990984i	$0.457225\pi$
$444$	3.08264	−	0.612476i	0.146296	−	0.0290668i
$445$	−44.6322	+	19.8715i	−2.11577	+	0.942001i
$446$	8.23978	+	1.75142i	0.390165	+	0.0829321i
$447$	−1.29590	+	10.9286i	−0.0612939	+	0.516903i
$448$	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
$453$	15.6446	+	0.208216i	0.735050	+	0.00978282i
$454$	2.02033	−	3.49931i	0.0948188	−	0.164231i
$455$	−20.3033	−	4.31559i	−0.951832	−	0.202318i
$456$	12.2306	−	5.25154i	0.572753	−	0.245926i
$457$	3.95145	−	37.5955i	0.184841	−	1.75864i	−0.372195	−	0.928155i	$-0.621395\pi$
$457$	3.95145	−	37.5955i	0.184841	−	1.75864i	0.557036	−	0.830489i	$-0.311939\pi$
$458$	−12.2721	+	8.91618i	−0.573436	+	0.416626i
$459$	25.1349	+	1.00404i	1.17320	+	0.0468646i
$460$	10.8008			0.503590
$461$	21.2590	−	4.51874i	0.990131	−	0.210459i	0.315750	−	0.948842i	$-0.397744\pi$
$461$	21.2590	−	4.51874i	0.990131	−	0.210459i	0.674381	+	0.738384i	$0.264411\pi$
$462$	20.4048	+	4.62181i	0.949316	+	0.215026i
$463$	5.48722	+	1.16634i	0.255013	+	0.0542046i	0.333644	−	0.942699i	$-0.391722\pi$
$463$	5.48722	+	1.16634i	0.255013	+	0.0542046i	−0.0786314	+	0.996904i	$0.525055\pi$
$464$	6.47967	−	2.88494i	0.300811	−	0.133930i
$465$	−39.9026	+	28.1873i	−1.85044	+	1.30715i
$466$	8.78614	−	9.75799i	0.407010	−	0.452030i
$467$	−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	$0.440758\pi$
$468$	−6.83958	+	2.82955i	−0.316160	+	0.130796i
$469$	14.2858	+	10.3793i	0.659659	+	0.479270i
$470$	−2.11769	−	0.942855i	−0.0976816	−	0.0434907i
$471$	−7.19290	+	1.42913i	−0.331432	+	0.0658506i
$472$	−0.0798670	−	0.759884i	−0.00367618	−	0.0349765i
$473$	0.735495	+	6.99777i	0.0338181	+	0.321758i
$474$	−2.61694	−	4.67528i	−0.120200	−	0.214743i
$475$	30.3631	−	6.45387i	1.39315	−	0.296124i
$476$	−10.9592	+	7.96232i	−0.502314	+	0.364952i
$477$	12.1701	+	22.4378i	0.557229	+	1.02736i
$478$	−3.02285			−0.138262
$479$	−0.186846	+	1.77772i	−0.00853723	+	0.0812263i	−0.997961	−	0.0638281i	$-0.979669\pi$
$479$	−0.186846	+	1.77772i	−0.00853723	+	0.0812263i	0.989424	+	0.145054i	$0.0463357\pi$
$480$	4.17184	+	3.11668i	0.190418	+	0.142256i
$481$	−2.99568	−	3.32704i	−0.136591	−	0.151700i
$482$	−11.6313	−	12.9179i	−0.529792	−	0.588393i
$483$	−1.58936	−	17.3385i	−0.0723185	−	0.788927i
$484$	−7.46748	+	1.58726i	−0.339431	+	0.0721482i
$485$	−15.2639	+	11.0899i	−0.693099	+	0.503566i
$486$	−14.6308	+	5.37946i	−0.663668	+	0.244017i
$487$	−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	$-0.300070\pi$
$488$	−9.84475	+	10.9337i	−0.445651	+	0.494945i
$489$	−1.18010	−	12.8738i	−0.0533662	−	0.582174i
$490$	2.27950	−	1.01490i	0.102977	−	0.0458485i
$491$	0.598918	−	1.03736i	0.0270288	−	0.0468152i	−0.852195	−	0.523225i	$-0.824729\pi$
$491$	0.598918	−	1.03736i	0.0270288	−	0.0468152i	0.879223	+	0.476410i	$0.158062\pi$
$492$	−8.88207	−	6.64144i	−0.400435	−	0.299419i
$493$	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
$497$	28.1407	−	31.2534i	1.26228	−	1.40191i
$498$	−7.13945	−	12.7549i	−0.319927	−	0.571563i
$499$	3.14405	+	29.9137i	0.140747	+	1.33912i	0.805740	+	0.592269i	$0.201768\pi$
$499$	3.14405	+	29.9137i	0.140747	+	1.33912i	−0.664993	+	0.746850i	$0.731565\pi$
$500$	−1.93264	−	2.14642i	−0.0864304	−	0.0959907i
$501$	8.53381	+	3.93640i	0.381262	+	0.175865i
$502$	1.16441	−	0.247504i	0.0519703	−	0.0110466i
$503$	−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	$0.815538\pi$
$504$	4.38929	−	7.15566i	0.195515	−	0.318738i
$505$	16.7675	+	12.1823i	0.746144	+	0.542105i
$506$	7.75380	+	13.4300i	0.344698	+	0.597035i
$507$	−9.59188	−	7.16586i	−0.425991	−	0.318247i
$508$	0.0821652	+	0.781750i	0.00364549	+	0.0346845i
$509$	12.7903	+	14.2050i	0.566919	+	0.629627i	0.956629	−	0.291311i	$-0.0940913\pi$
$509$	12.7903	+	14.2050i	0.566919	+	0.629627i	−0.389710	+	0.920938i	$0.627425\pi$
$510$	−12.8944	+	21.6627i	−0.570972	+	0.959241i
$511$	39.4925	+	17.5832i	1.74705	+	0.777835i
$512$	−0.809017	+	0.587785i	−0.0357538	+	0.0259767i
$513$	−31.3425	−	24.7417i	−1.38381	−	1.09237i
$514$	1.68803	−	1.22643i	0.0744559	−	0.0540954i
$515$	−6.11970	+	58.2251i	−0.269666	+	2.56570i
$516$	2.75350	+	0.623685i	0.121216	+	0.0274562i
$517$	−0.347900	−	3.31005i	−0.0153006	−	0.145576i
$518$	4.96653	+	1.05567i	0.218217	+	0.0463834i
$519$	17.4785	−	12.3469i	0.767222	−	0.541968i
$520$	0.775385	−	7.37729i	0.0340029	−	0.323516i
$521$	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	$0.806513\pi$
$522$	−16.8758	−	12.9610i	−0.738635	−	0.567287i
$523$	−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
$525$	13.2921	−	14.3730i	0.580115	−	0.627291i
$526$	−0.167099	−	1.58984i	−0.00728587	−	0.0693204i
$527$	41.4902	−	18.4726i	1.80734	−	0.804681i
$528$	−0.880427	+	7.42481i	−0.0383157	+	0.323123i
$529$	−6.75452	+	7.50165i	−0.293675	+	0.326159i
$530$	−25.5815			−1.11119
$531$	−1.88963	+	1.29750i	−0.0820032	+	0.0563065i
$532$	21.5036			0.932297
$533$	−1.65801	+	15.7109i	−0.0718163	+	0.680515i
$534$	−22.9884	+	16.2391i	−0.994806	+	0.702734i
$535$	−11.2269	+	4.99855i	−0.485382	+	0.216106i
$536$	−3.15529	+	5.46512i	−0.136288	+	0.236057i
$537$	19.7172	−	8.46606i	0.850858	−	0.365338i
$538$	10.3693	−	11.5162i	0.447051	−	0.496500i
$539$	2.89838	+	2.10580i	0.124842	+	0.0907031i
$540$	2.25184	−	15.4593i	0.0969036	−	0.665264i
$541$	−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
$543$	19.6150	+	4.44292i	0.841760	+	0.190664i
$544$	−3.23931	−	3.59762i	−0.138884	−	0.154247i
$545$	−37.0393	−	7.87296i	−1.58659	−	0.337240i
$546$	−11.9568	−	0.159134i	−0.511705	−	0.00681030i
$547$	9.87088	+	17.0969i	0.422048	+	0.731009i	0.996140	−	0.0877820i	$-0.0279779\pi$
$547$	9.87088	+	17.0969i	0.422048	+	0.731009i	−0.574091	+	0.818791i	$0.694645\pi$
$548$	3.67627	+	11.3144i	0.157042	+	0.483327i
$549$	42.9142	+	10.3226i	1.83153	+	0.440558i
$550$	−5.38826	+	16.5834i	−0.229756	+	0.707117i
$551$	5.69756	−	54.2086i	0.242724	−	2.30937i
$552$	6.10297	−	1.21257i	0.259760	−	0.0516105i
$553$	−0.904783	−	8.60843i	−0.0384753	−	0.366068i
$554$	1.78484	+	16.9816i	0.0758304	+	0.721478i
$555$	9.26812	−	1.84144i	0.393410	−	0.0781648i
$556$	−0.0755571	+	0.718878i	−0.00320433	+	0.0304872i
$557$	−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	$0.981183\pi$
$558$	−19.3824	+	20.4069i	−0.820521	+	0.863893i
$559$	−1.24276	−	3.82481i	−0.0525629	−	0.161772i
$560$	4.20646	+	7.28581i	0.177756	+	0.307882i
$561$	−36.1927	−	0.481690i	−1.52806	−	0.0203370i
$562$	12.2346	+	2.60055i	0.516087	+	0.109698i
$563$	−1.66625	−	1.85056i	−0.0702240	−	0.0779916i	0.707009	−	0.707205i	$-0.250044\pi$
$563$	−1.66625	−	1.85056i	−0.0702240	−	0.0779916i	−0.777233	+	0.629213i	$0.783377\pi$
$564$	−1.30245	−	0.295012i	−0.0548429	−	0.0124223i
$565$	−14.1520	−	24.5120i	−0.595380	−	1.03123i
$566$	−2.64150	+	8.12970i	−0.111030	+	0.341717i
$567$	−25.1481	−	1.33998i	−1.05612	−	0.0562738i
$568$	12.1591	+	8.83414i	0.510187	+	0.370672i
$569$	−0.105531	+	0.117204i	−0.00442409	+	0.00491345i	−0.745353	−	0.666670i	$-0.767719\pi$
$569$	−0.105531	+	0.117204i	−0.00442409	+	0.00491345i	0.740929	+	0.671584i	$0.234386\pi$
$570$	36.7720	−	15.7890i	1.54021	−	0.661329i
$571$	7.81141	−	13.5298i	0.326897	−	0.566203i	−0.654997	−	0.755631i	$-0.727330\pi$
$571$	7.81141	−	13.5298i	0.326897	−	0.566203i	0.981895	+	0.189429i	$0.0606635\pi$
$572$	9.72974	−	4.33196i	0.406821	−	0.181128i
$573$	−28.0176	+	19.7917i	−1.17045	+	0.826810i
$574$	−8.95204	−	15.5206i	−0.373651	−	0.647816i
$575$	14.5110			0.605151
$576$	2.70719	+	1.29272i	0.112800	+	0.0538631i
$577$	−2.02587			−0.0843381			−0.0421690	−	0.999110i	$-0.513427\pi$
$577$	−2.02587			−0.0843381			−0.0421690	+	0.999110i	$0.513427\pi$
$578$	4.30654	−	4.78289i	0.179128	−	0.198942i
$579$	−3.12024	+	26.3136i	−0.129673	+	1.09355i
$580$	19.4814	−	8.67370i	0.808923	−	0.360156i
$581$	−2.46840	−	23.4852i	−0.102406	−	0.974331i
$582$	−7.37983	+	7.97995i	−0.305904	+	0.330780i
$583$	−18.3647	−	31.8086i	−0.760589	−	1.31738i
$584$	−4.77406	+	14.6930i	−0.197552	+	0.608003i
$585$	−20.5635	+	8.50718i	−0.850198	+	0.351729i
$586$	−6.91159	−	21.2717i	−0.285515	−	0.878725i
$587$	2.16704	−	20.6180i	0.0894435	−	0.850998i	−0.854180	−	0.519977i	$-0.825940\pi$
$587$	2.16704	−	20.6180i	0.0894435	−	0.850998i	0.943624	−	0.331021i	$-0.107393\pi$
$588$	1.17409	−	0.829379i	0.0484186	−	0.0342030i
$589$	−70.5195	−	14.9894i	−2.90571	−	0.617627i
$590$	−0.240124	−	2.28463i	−0.00988575	−	0.0940566i
$591$	−41.4853	−	9.39669i	−1.70648	−	0.386528i
$592$	−0.189673	+	1.80461i	−0.00779549	+	0.0741692i
$593$	−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	$0.378917\pi$
$594$	20.8391	−	8.29813i	0.855038	−	0.340477i
$595$	−32.9493	+	23.9391i	−1.35079	+	0.981407i
$596$	−5.80449	−	2.58433i	−0.237761	−	0.105858i
$597$	2.57819	−	4.33139i	0.105518	−	0.177272i
$598$	−5.93080	−	6.58682i	−0.242528	−	0.269355i
$599$	0.0212208	+	0.201902i	0.000867058	+	0.00824951i	0.994947	−	0.100403i	$-0.0320131\pi$
$599$	0.0212208	+	0.201902i	0.000867058	+	0.00824951i	−0.994080	+	0.108652i	$0.965346\pi$
$600$	5.60492	+	4.18730i	0.228820	+	0.170946i
$601$	−18.2989	−	31.6946i	−0.746426	−	1.29285i	−0.949525	−	0.313690i	$-0.898435\pi$
$601$	−18.2989	−	31.6946i	−0.746426	−	1.29285i	0.203099	−	0.979158i	$-0.434899\pi$
$602$	3.68999	+	2.68094i	0.150393	+	0.109267i
$603$	18.9250	+	0.503838i	0.770686	+	0.0205179i
$604$	−2.79143	+	8.59112i	−0.113581	+	0.349568i
$605$	−22.4513	+	4.77218i	−0.912776	+	0.194017i
$606$	10.8421	+	5.00115i	0.440430	+	0.203158i
$607$	−13.7139	−	15.2308i	−0.556630	−	0.618201i	0.397496	−	0.917604i	$-0.369879\pi$
$607$	−13.7139	−	15.2308i	−0.556630	−	0.618201i	−0.954127	+	0.299403i	$0.903212\pi$
$608$	0.803278	+	7.64268i	0.0325772	+	0.309952i
$609$	−16.7906	−	29.9971i	−0.680388	−	1.21554i
$610$	−29.5987	+	32.8727i	−1.19842	+	1.33098i
$611$	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
$615$	−26.7044	−	19.9678i	−1.07682	−	0.805180i
$616$	−6.03956	+	10.4608i	−0.243341	+	0.421479i
$617$	21.7228	−	9.67162i	0.874528	−	0.389365i	0.0801457	−	0.996783i	$-0.474461\pi$
$617$	21.7228	−	9.67162i	0.874528	−	0.389365i	0.794382	+	0.607418i	$0.207795\pi$
$618$	3.07882	+	33.5870i	0.123848	+	1.35107i
$619$	−4.68875	+	5.20739i	−0.188457	+	0.209303i	−0.829968	−	0.557811i	$-0.811641\pi$
$619$	−4.68875	+	5.20739i	−0.188457	+	0.209303i	0.641511	+	0.767114i	$0.278308\pi$
$620$	−8.71614	−	26.8255i	−0.350049	−	1.07734i
$621$	−11.9269	−	14.3596i	−0.478609	−	0.576232i
$622$	3.04026	−	2.20888i	0.121903	−	0.0885679i
$623$	−44.4768	+	9.45383i	−1.78192	+	0.378760i
$624$	−0.390095	−	4.25557i	−0.0156163	−	0.170359i
$625$	−19.3248	−	21.4624i	−0.772992	−	0.858494i
$626$	18.7662	+	20.8419i	0.750046	+	0.833011i
$627$	46.0307	+	34.3884i	1.83829	+	1.37334i
$628$	0.442574	−	4.21081i	0.0176606	−	0.168029i
$629$	−8.78439			−0.350257
$630$	13.1966	−	21.5138i	0.525766	−	0.857132i
$631$	−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	$0.378103\pi$
$632$	3.02576	−	0.643146i	0.120358	−	0.0255830i
$633$	−11.2546	−	20.1068i	−0.447330	−	0.799174i
$634$	−1.26966	−	12.0800i	−0.0504246	−	0.479758i
$635$	0.247034	+	2.35037i	0.00980324	+	0.0932716i
$636$	−14.4548	+	2.87195i	−0.573169	+	0.113880i
$637$	−1.87062	−	0.832855i	−0.0741168	−	0.0329989i
$638$	24.7706	+	17.9969i	0.980679	+	0.712505i
$639$	5.90476	−	44.7003i	0.233589	−	1.76832i
$640$	−2.43235	+	1.76720i	−0.0961470	+	0.0698549i
$641$	−14.9185	+	16.5687i	−0.589246	+	0.654424i	−0.961854	−	0.273565i	$-0.911797\pi$
$641$	−14.9185	+	16.5687i	−0.589246	+	0.654424i	0.372607	+	0.927989i	$0.378464\pi$
$642$	−5.78257	+	4.08483i	−0.228220	+	0.161215i
$643$	−36.7090	+	16.3439i	−1.44766	+	0.644540i	−0.971977	−	0.235077i	$-0.924466\pi$
$643$	−36.7090	+	16.3439i	−1.44766	+	0.644540i	−0.475683	+	0.879617i	$0.657799\pi$
$644$	9.83266	+	2.09000i	0.387461	+	0.0823574i
$645$	8.27853	+	1.87514i	0.325967	+	0.0738335i
$646$	−36.3896	+	7.73485i	−1.43173	+	0.304324i
$647$	43.5703			1.71292			0.856462	−	0.516210i	$-0.172657\pi$
$647$	43.5703			1.71292			0.856462	+	0.516210i	$0.172657\pi$
$648$	−0.463175	−	8.98807i	−0.0181952	−	0.353085i
$649$	2.66838	−	1.93869i	0.104743	−	0.0761002i
$650$	1.04174	−	9.91148i	0.0408603	−	0.388760i
$651$	−41.7802	+	17.9394i	−1.63750	+	0.703101i
$652$	7.30076	+	1.55183i	0.285920	+	0.0607742i
$653$	−11.5894	+	20.0735i	−0.453529	+	0.785535i	−0.998602	−	0.0528533i	$-0.983168\pi$
$653$	−11.5894	+	20.0735i	−0.453529	+	0.785535i	0.545073	+	0.838388i	$0.316502\pi$
$654$	−21.8129	−	0.290309i	−0.852951	−	0.0113520i
$655$	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	−0.943706	−	0.330785i	$-0.892686\pi$
$659$	−19.4669	−	33.7176i	−0.758321	−	1.31345i	0.185385	−	0.982666i	$-0.440647\pi$
$660$	−2.64705	+	22.3230i	−0.103036	+	0.868923i
$661$	−36.0528	−	7.66326i	−1.40229	−	0.298066i	−0.556175	−	0.831065i	$-0.687732\pi$
$661$	−36.0528	−	7.66326i	−1.40229	−	0.298066i	−0.846116	+	0.532999i	$0.821065\pi$
$662$	7.95058	−	3.53982i	0.309008	−	0.137579i
$663$	20.2913	−	4.03159i	0.788049	−	0.156574i
$664$	8.25478	−	1.75461i	0.320348	−	0.0680920i
$665$	64.6515			2.50708
$666$	5.03020	−	2.08100i	0.194916	−	0.0806372i
$667$	7.87396	−	24.2336i	0.304881	−	0.938327i
$668$	−3.63063	+	4.03223i	−0.140473	+	0.156012i
$669$	14.5893	+	0.194169i	0.564053	+	0.00750702i
$670$	−9.48653	+	16.4311i	−0.366496	+	0.634791i
$671$	−62.1233	−	13.2047i	−2.39824	−	0.509763i
$672$	3.19481	+	3.64458i	0.123242	+	0.140593i
$673$	17.6387	−	3.74922i	0.679922	−	0.144522i	0.145011	−	0.989430i	$-0.453678\pi$
$673$	17.6387	−	3.74922i	0.679922	−	0.144522i	0.534911	+	0.844908i	$0.320345\pi$
$674$	29.0172	+	21.0822i	1.11770	+	0.812056i
$675$	3.02537	−	20.7698i	0.116446	−	0.799430i
$676$	5.59244	−	4.06315i	0.215094	−	0.156275i
$677$	23.9636	+	10.6693i	0.920995	+	0.410054i	0.811779	−	0.583964i	$-0.198499\pi$
$677$	23.9636	+	10.6693i	0.920995	+	0.410054i	0.109216	+	0.994018i	$0.465166\pi$
$678$	−10.7485	−	12.2617i	−0.412792	−	0.470906i
$679$	−16.0417	+	7.14221i	−0.615623	+	0.274093i
$680$	−9.73915	−	10.8164i	−0.373479	−	0.414791i
$681$	2.25108	−	6.62672i	0.0862617	−	0.253937i
$682$	27.0983	−	30.0957i	1.03765	−	1.15242i
$683$	15.6264			0.597928			0.298964	−	0.954264i	$-0.403359\pi$
$683$	15.6264			0.597928			0.298964	+	0.954264i	$0.403359\pi$
$684$	19.0054	−	13.0498i	0.726689	−	0.498972i
$685$	11.0529	+	34.0173i	0.422309	+	1.29973i
$686$	−16.8878	+	3.58962i	−0.644780	+	0.137052i
$687$	−17.8388	+	19.2895i	−0.680593	+	0.735939i
$688$	−0.815002	+	1.41162i	−0.0310717	+	0.0538177i
$689$	14.0470	+	15.6008i	0.535148	+	0.594342i
$690$	18.3489	−	3.64565i	0.698530	−	0.138788i
$691$	3.21240	−	30.5640i	0.122206	−	1.16271i	−0.745806	−	0.666164i	$-0.767935\pi$
$691$	3.21240	−	30.5640i	0.122206	−	1.16271i	0.868011	−	0.496545i	$-0.165398\pi$
$692$	3.81793	+	11.7504i	0.145136	+	0.446682i
$693$	36.2245	+	0.964400i	1.37606	+	0.0366345i
$694$	−5.59816			−0.212503
$695$	−0.227166	+	2.16134i	−0.00861690	+	0.0819843i
$696$	10.0342	−	7.08817i	0.380345	−	0.268677i
$697$	20.7320	+	23.0448i	0.785279	+	0.872884i
$698$	−4.92891	+	8.53712i	−0.186562	+	0.323135i
$699$	11.6326	−	19.5429i	0.439986	−	0.739182i
$700$	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	$-0.352371\pi$
$702$	−10.6643	+	7.11556i	−0.402498	+	0.268560i
$703$	11.2813	+	8.19634i	0.425482	+	0.309131i
$704$	−3.94354	−	1.75578i	−0.148628	−	0.0661734i
$705$	−3.91587	−	0.886969i	−0.147480	−	0.0334052i
$706$	−11.0302	+	19.1049i	−0.415128	+	0.719023i
$707$	12.9072	+	14.3349i	0.485425	+	0.539119i
$708$	−0.392169	−	1.26397i	−0.0147386	−	0.0475027i
$709$	18.1379	−	20.1442i	0.681185	−	0.756532i	−0.299079	−	0.954228i	$-0.596679\pi$
$709$	18.1379	−	20.1442i	0.681185	−	0.756532i	0.980263	+	0.197696i	$0.0633460\pi$
$710$	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
$713$	−30.7887	−	13.7080i	−1.15305	−	0.513370i
$714$	−15.9304	+	17.2259i	−0.596180	+	0.644661i
$715$	29.2529	−	13.0242i	1.09400	−	0.487079i
$716$	1.29497	+	12.3208i	0.0483954	+	0.460452i
$717$	−5.13535	+	1.02032i	−0.191783	+	0.0381045i
$718$	26.5965	+	11.8415i	0.992574	+	0.441922i
$719$	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	$0.248435\pi$
$720$	8.13930	+	3.88661i	0.303334	+	0.144845i
$721$	−16.8379	+	51.8218i	−0.627078	+	1.92995i
$722$	36.5928	+	16.2922i	1.36184	+	0.606332i
$723$	−24.1200	−	18.0195i	−0.897033	−	0.670152i
$724$	−5.80580	+	10.0559i	−0.215771	+	0.373726i
$725$	26.1736	−	11.6532i	0.972062	−	0.432790i
$726$	−12.1503	+	5.21705i	−0.450941	+	0.193623i
$727$	−23.7487	+	5.04794i	−0.880790	+	0.187218i	−0.626042	−	0.779790i	$-0.715326\pi$
$727$	−23.7487	+	5.04794i	−0.880790	+	0.187218i	−0.254749	+	0.967007i	$0.581993\pi$
$728$	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
$731$	−7.20876	−	3.20955i	−0.266626	−	0.118709i
$732$	−13.0342	+	21.8976i	−0.481757	+	0.809359i
$733$	−8.83663	−	1.87828i	−0.326389	−	0.0693760i	0.0418033	−	0.999126i	$-0.486690\pi$
$733$	−8.83663	−	1.87828i	−0.326389	−	0.0693760i	−0.368192	+	0.929750i	$0.620023\pi$
$734$	2.03474	+	0.432497i	0.0751036	+	0.0159638i
$735$	3.52995	−	2.49357i	0.130204	−	0.0919766i
$736$	−0.375511	+	3.57275i	−0.0138415	+	0.131693i
$737$	−27.2412			−1.00344
$738$	−17.3310	−	8.28476i	−0.637962	−	0.304966i
$739$	43.6471			1.60559			0.802793	−	0.596258i	$-0.203346\pi$
$739$	43.6471			1.60559			0.802793	+	0.596258i	$0.203346\pi$
$740$	−0.570260	+	5.42566i	−0.0209632	+	0.199451i
$741$	−29.8206	−	13.7554i	−1.09549	−	0.505317i
$742$	−23.2885	−	4.95012i	−0.854947	−	0.181725i
$743$	−42.3157	−	8.99448i	−1.55241	−	0.329975i	−0.649690	−	0.760199i	$-0.725101\pi$
$743$	−42.3157	−	8.99448i	−1.55241	−	0.329975i	−0.902722	+	0.430224i	$0.858435\pi$
$744$	−7.93665	−	14.1792i	−0.290972	−	0.519834i
$745$	−17.4515	−	7.76991i	−0.639373	−	0.284667i
$746$	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
$749$	−11.1878	+	2.37804i	−0.408794	+	0.0868919i
$750$	−4.00775	−	2.99409i	−0.146342	−	0.109329i
$751$	3.21698	−	1.43229i	0.117389	−	0.0522651i	−0.347202	−	0.937790i	$-0.612868\pi$
$751$	3.21698	−	1.43229i	0.117389	−	0.0522651i	0.464591	+	0.885525i	$0.346201\pi$
$752$	0.385508	−	0.667720i	0.0140580	−	0.0243492i
$753$	1.89462	−	0.813501i	0.0690436	−	0.0296456i
$754$	−15.9870	−	7.11788i	−0.582213	−	0.259218i
$755$	−8.39256	+	25.8296i	−0.305436	+	0.940036i
$756$	5.04143	−	13.6379i	0.183355	−	0.496005i
$757$	−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	$0.309135\pi$
$758$	−27.0675	−	12.0512i	−0.983134	−	0.437720i
$759$	17.7056	+	20.1982i	0.642672	+	0.733150i
$760$	2.41509	+	22.9781i	0.0876047	+	0.833503i
$761$	25.0864	−	11.1692i	0.909382	−	0.404883i	0.101913	−	0.994793i	$-0.467504\pi$
$761$	25.0864	−	11.1692i	0.909382	−	0.404883i	0.807469	+	0.589910i	$0.200837\pi$
$762$	0.403454	+	1.30034i	0.0146156	+	0.0471063i
$763$	−32.1958	−	14.3345i	−1.16557	−	0.518944i
$764$	−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
$767$	−1.26142	+	1.40094i	−0.0455471	+	0.0505851i
$768$	−1.17600	+	1.27163i	−0.0424351	+	0.0458859i
$769$	27.8257	+	30.9036i	1.00342	+	1.11441i	0.993428	+	0.114461i	$0.0365139\pi$
$769$	27.8257	+	30.9036i	1.00342	+	1.11441i	0.00999202	+	0.999950i	$0.496819\pi$
$770$	−18.1582	+	31.4510i	−0.654378	+	1.13342i
$771$	2.45374	−	2.65328i	0.0883693	−	0.0955555i
$772$	−13.9760	−	6.22250i	−0.503006	−	0.223953i
$773$	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	$0.694200\pi$
$774$	4.88828	+	0.130140i	0.175706	+	0.00467778i
$775$	−11.7102	−	36.0404i	−0.420644	−	1.29461i
$776$	−3.13769	−	5.43465i	−0.112637	−	0.195092i
$777$	8.79369	+	0.117036i	0.315472	+	0.00419863i
$778$	8.62388	−	14.9370i	0.309181	−	0.535517i
$779$	−5.12277	−	48.9392i	−0.183542	−	1.75343i
$780$	−1.17284	−	12.7946i	−0.0419944	−	0.458120i
$781$	−6.78167	+	64.5233i	−0.242667	+	2.30882i
$782$	−17.3912			−0.621908
$783$	−33.0442	−	16.3225i	−1.18090	−	0.583319i
$784$	0.256462	+	0.789310i	0.00915937	+	0.0281897i
$785$	1.33062	−	12.6600i	0.0474918	−	0.451854i
$786$	11.1361	+	12.7039i	0.397211	+	0.453132i
$787$	−5.18874	−	5.76268i	−0.184958	−	0.205417i	0.643534	−	0.765418i	$-0.277468\pi$
$787$	−5.18874	−	5.76268i	−0.184958	−	0.205417i	−0.828492	+	0.560001i	$0.810801\pi$
$788$	12.2791	−	21.2681i	0.437426	−	0.757645i
$789$	−0.820504	−	2.64449i	−0.0292107	−	0.0941464i
$790$	9.09711	−	1.93365i	0.323661	−	0.0687962i
$791$	−8.14032	−	25.0533i	−0.289437	−	0.890794i
$792$	1.01043	+	12.9108i	0.0359040	+	0.458764i
$793$	36.3001			1.28906
$794$	14.8386	−	16.4799i	0.526601	−	0.584850i
$795$	−43.4590	+	8.63467i	−1.54133	+	0.306240i
$796$	1.94731	+	2.16271i	0.0690206	+	0.0766552i
$797$	−22.5097	+	10.0220i	−0.797335	+	0.354996i	−0.764631	−	0.644469i	$-0.777079\pi$
$797$	−22.5097	+	10.0220i	−0.797335	+	0.354996i	−0.0327042	+	0.999465i	$0.510412\pi$
$798$	36.5312	−	7.25821i	1.29319	−	0.256938i
$799$	3.40985	+	1.51816i	0.120632	+	0.0537088i
$800$	−3.26789	+	2.37426i	−0.115537	+	0.0839428i
$801$	−33.5724	+	35.3471i	−1.18622	+	1.24893i
$802$	−12.5995	−	9.15407i	−0.444904	−	0.323242i
$803$	−65.2329	+	13.8657i	−2.30202	+	0.489309i
$804$	−3.51567	+	10.3494i	−0.123988	+	0.364995i
$805$	29.5624	+	6.28368i	1.04194	+	0.221471i
$806$	−11.5733	+	20.0456i	−0.407653	+	0.706076i
$807$	13.7286	−	23.0643i	0.483270	−	0.811901i
$808$	−4.61268	+	5.12290i	−0.162273	+	0.180223i
$809$	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	$0.0903551\pi$
$810$	−1.39256	−	27.0231i	−0.0489295	−	0.949494i
$811$	−44.8007			−1.57317			−0.786583	−	0.617485i	$-0.788152\pi$
$811$	−44.8007			−1.57317			−0.786583	+	0.617485i	$0.788152\pi$
$812$	19.4136	−	4.12649i	0.681284	−	0.144811i
$813$	−3.87244	−	4.41761i	−0.135812	−	0.154932i
$814$	−7.15577	+	3.18596i	−0.250810	+	0.111668i
$815$	21.9501	+	4.66564i	0.768879	+	0.163430i
$816$	−6.71741	−	5.01841i	−0.235156	−	0.175680i
$817$	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	0.883396	−	0.468627i	$-0.155251\pi$
$821$	1.02735	+	1.77943i	0.0358548	+	0.0621024i	−0.847541	+	0.530730i	$0.821918\pi$
$822$	10.0644	+	17.9805i	0.351037	+	0.627143i
$823$	8.58822	−	14.8752i	0.299367	−	0.518518i	−0.676625	−	0.736328i	$-0.736558\pi$
$823$	8.58822	−	14.8752i	0.299367	−	0.518518i	0.975991	+	0.217810i	$0.0698913\pi$
$824$	−19.0472	−	4.04862i	−0.663542	−	0.141040i
$825$	−3.55634	+	29.9913i	−0.123816	+	1.04416i
$826$	0.223484	−	2.12631i	0.00777600	−	0.0739837i
$827$	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	$0.172075\pi$
$828$	9.95871	−	4.11994i	0.346089	−	0.143178i
$829$	41.0878			1.42704			0.713519	−	0.700635i	$-0.247100\pi$
$829$	41.0878			1.42704			0.713519	+	0.700635i	$0.247100\pi$
$830$	24.8184	−	5.27532i	0.861460	−	0.183109i
$831$	8.76404	+	28.2466i	0.304021	+	0.979864i
$832$	2.41334	+	0.512972i	0.0836676	+	0.0177841i
$833$	−3.67040	+	1.63417i	−0.127172	+	0.0566206i
$834$	0.114287	+	1.24676i	0.00395744	+	0.0431719i
$835$	−10.9157	+	12.1231i	−0.377753	+	0.419537i
$836$	−26.8377	+	19.4987i	−0.928202	+	0.674378i
$837$	−26.0396	+	41.2104i	−0.900059	+	1.42444i
$838$	−8.37716	−	6.08637i	−0.289384	−	0.210250i
$839$	17.6240	+	7.84671i	0.608448	+	0.270898i	0.687745	−	0.725953i	$-0.258601\pi$
$839$	17.6240	+	7.84671i	0.608448	+	0.270898i	−0.0792969	+	0.996851i	$0.525268\pi$
$840$	9.60534	+	10.9576i	0.331416	+	0.378074i
$841$	−2.22740	−	21.1923i	−0.0768068	−	0.730768i
$842$	1.38269	+	13.1554i	0.0476507	+	0.453366i
$843$	21.6625	+	0.288308i	0.746096	+	0.00992984i
$844$	13.0128	−	2.76595i	0.447918	−	0.0952080i
$845$	16.8140	−	12.2161i	0.578418	−	0.420245i
$846$	−2.31223	−	0.0615581i	−0.0794961	−	0.00211641i
$847$	−21.3623			−0.734018
$848$	0.889391	−	8.46199i	0.0305418	−	0.290586i
$849$	−1.74343	+	14.7027i	−0.0598344	+	0.504595i
$850$	−13.0847	−	14.5320i	−0.448800	−	0.498443i
$851$	4.36183	+	4.84430i	0.149522	+	0.166061i
$852$	23.6383	+	10.9037i	0.809836	+	0.373554i
$853$	−4.74131	+	1.00780i	−0.162339	+	0.0345063i	−0.288364	−	0.957521i	$-0.593111\pi$
$853$	−4.74131	+	1.00780i	−0.162339	+	0.0345063i	0.126025	+	0.992027i	$0.459778\pi$
$854$	−33.3066	+	24.1987i	−1.13973	+	0.828061i
$855$	57.1406	−	39.2349i	1.95417	−	1.34181i
$856$	−1.26312	−	3.88748i	−0.0431725	−	0.132871i
$857$	−17.7238	+	19.6842i	−0.605432	+	0.672401i	−0.965463	−	0.260540i	$-0.916099\pi$
$857$	−17.7238	+	19.6842i	−0.605432	+	0.672401i	0.360031	+	0.932940i	$0.382766\pi$
$858$	15.0671	−	10.6435i	0.514383	−	0.363362i
$859$	−10.3629	+	4.61385i	−0.353577	+	0.157423i	−0.575836	−	0.817565i	$-0.695323\pi$
$859$	−10.3629	+	4.61385i	−0.353577	+	0.157423i	0.222259	+	0.974988i	$0.428657\pi$
$860$	−2.45034	+	4.24412i	−0.0835560	+	0.144723i
$861$	−20.4469	−	23.3454i	−0.696827	−	0.795609i
$862$	−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
$866$	7.05449	−	7.83481i	0.239721	−	0.266238i
$867$	5.70174	−	9.57900i	0.193641	−	0.325320i
$868$	−2.74402	−	26.1076i	−0.0931381	−	0.886150i
$869$	8.93508	+	9.92341i	0.303102	+	0.336629i
$870$	30.1683	−	21.3109i	1.02280	−	0.722509i
$871$	15.2296	−	3.23715i	0.516035	−	0.109687i
$872$	3.89200	−	11.9784i	0.131800	−	0.405638i
$873$	−9.84365	+	16.0476i	−0.333157	+	0.543131i
$874$	22.3345	+	16.2270i	0.755477	+	0.548886i
$875$	−4.04101	−	6.99923i	−0.136611	−	0.236617i
$876$	−3.15096	+	26.5726i	−0.106461	+	0.897805i
$877$	−4.40131	−	41.8757i	−0.148622	−	1.41404i	−0.773736	−	0.633509i	$-0.781614\pi$
$877$	−4.40131	−	41.8757i	−0.148622	−	1.41404i	0.625114	−	0.780534i	$-0.285053\pi$
$878$	−0.154512	−	0.171603i	−0.00521453	−	0.00579132i
$879$	−18.9216	−	33.8043i	−0.638211	−	1.14019i
$880$	−11.8565	−	5.27883i	−0.399681	−	0.177949i
$881$	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	$-0.0514875\pi$
$882$	1.71465	−	1.80528i	0.0577352	−	0.0607870i
$883$	−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	$0.594029\pi$
$884$	−1.24851	+	11.8788i	−0.0419918	+	0.399526i
$885$	−1.17908	−	3.80017i	−0.0396342	−	0.127741i
$886$	−0.329957	−	3.13933i	−0.0110851	−	0.105468i
$887$	−8.89424	−	1.89053i	−0.298639	−	0.0634777i	0.0561552	−	0.998422i	$-0.482116\pi$
$887$	−8.89424	−	1.89053i	−0.298639	−	0.0634777i	−0.354795	+	0.934944i	$0.615449\pi$
$888$	0.286897	+	3.12978i	0.00962764	+	0.105028i
$889$	−0.229915	+	2.18749i	−0.00771110	+	0.0733662i
$890$	−15.0973	−	46.4648i	−0.506064	−	1.55750i
$891$	32.6014	−	21.1312i	1.09219	−	0.707920i
$892$	−2.60312	+	8.01157i	−0.0871588	+	0.268247i
$893$	−2.96254	−	5.13128i	−0.0991377	−	0.171712i
$894$	−10.7332	−	2.43115i	−0.358973	−	0.0813097i
$895$	3.89340	+	37.0432i	0.130142	+	1.23822i
$896$	−2.55628	+	1.13813i	−0.0853995	+	0.0380223i
$897$	−12.2988	−	9.18812i	−0.410645	−	0.306782i
$898$	−2.99446	+	3.32568i	−0.0999264	+	0.110980i
$899$	−66.5421			−2.21930
$900$	10.9352	+	5.22171i	0.364508	+	0.174057i
$901$	41.1908			1.37226
$902$	25.2462	+	11.2532i	0.840608	+	0.374689i
$903$	7.17363	+	3.30899i	0.238723	+	0.110116i
$904$	8.60024	−	3.82907i	0.286040	−	0.127353i
$905$	−17.4554	+	30.2336i	−0.580237	+	1.00500i
$906$	−1.84239	+	15.5372i	−0.0612092	+	0.516188i
$907$	5.45284	−	6.05599i	0.181059	−	0.201086i	−0.645783	−	0.763521i	$-0.723469\pi$
$907$	5.45284	−	6.05599i	0.181059	−	0.201086i	0.826841	+	0.562435i	$0.190135\pi$
$908$	3.26896	+	2.37504i	0.108484	+	0.0788185i
$909$	20.1071	+	4.83657i	0.666910	+	0.160419i
$910$	6.41422	−	19.7409i	0.212629	−	0.654406i
$911$	17.6255	+	30.5283i	0.583959	+	1.01145i	0.995004	+	0.0998316i	$0.0318304\pi$
$911$	17.6255	+	30.5283i	0.583959	+	1.01145i	−0.411045	+	0.911615i	$0.634836\pi$
$912$	3.94432	+	12.7126i	0.130609	+	0.420956i
$913$	24.3764	+	27.0727i	0.806740	+	0.895975i
$914$	36.9765	+	7.85960i	1.22307	+	0.259972i
$915$	−39.1879	+	65.8362i	−1.29551	+	2.17648i
$916$	−7.58456	−	13.1368i	−0.250601	−	0.434053i
$917$	8.43390	+	25.9569i	0.278512	+	0.857171i
$918$	−3.62586	+	24.8923i	−0.119671	+	0.821568i
$919$	−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	$0.956774\pi$
$920$	−1.12899	+	10.7416i	−0.0372217	+	0.354141i
$921$	−17.2547	−	19.6838i	−0.568560	−	0.648604i
$922$	2.27182	+	21.6149i	0.0748183	+	0.711849i
$923$	−3.87610	−	36.8786i	−0.127583	−	1.21387i
$924$	−6.72937	+	19.8099i	−0.221380	+	0.651697i
$925$	−0.766151	+	7.28944i	−0.0251909	+	0.239675i
$926$	−1.73352	+	5.33524i	−0.0569672	+	0.175327i
$927$	16.5672	+	56.0198i	0.544139	+	1.83993i
$928$	2.19182	+	6.74573i	0.0719501	+	0.221440i
$929$	0.113789	+	0.197088i	0.00373329	+	0.00646624i	0.867886	−	0.496763i	$-0.165478\pi$
$929$	0.113789	+	0.197088i	0.00373329	+	0.00646624i	−0.864153	+	0.503230i	$0.832145\pi$
$930$	−23.8619	−	42.6304i	−0.782464	−	1.39791i
$931$	6.23846	+	1.32602i	0.204457	+	0.0434587i
$932$	8.78614	+	9.75799i	0.287800	+	0.319634i
$933$	4.41935	−	4.77873i	0.144683	−	0.156449i
$934$	−9.24768	−	16.0174i	−0.302593	−	0.524107i
$935$	19.4155	−	59.7548i	0.634955	−	1.95419i
$936$	−2.09912	−	7.09788i	−0.0686118	−	0.232002i
$937$	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	$0.439299\pi$
$938$	−11.8157	+	13.1226i	−0.385796	+	0.428470i
$939$	38.9157	+	29.0729i	1.26996	+	0.948759i
$940$	1.15905	−	2.00753i	0.0378040	−	0.0654784i
$941$	25.6439	−	11.4174i	0.835968	−	0.372197i	0.0563186	−	0.998413i	$-0.482064\pi$
$941$	25.6439	−	11.4174i	0.835968	−	0.372197i	0.779650	+	0.626216i	$0.215397\pi$
$942$	−0.669433	−	7.30289i	−0.0218113	−	0.237941i
$943$	2.41413	−	22.8757i	0.0786148	−	0.744936i
$944$	0.764069			0.0248683
$945$	15.1573	−	41.0030i	0.493067	−	1.33383i
$946$	−7.03632			−0.228770
$947$	28.2919	−	31.4214i	0.919365	−	1.02106i	−0.0803403	−	0.996767i	$-0.525601\pi$
$947$	28.2919	−	31.4214i	0.919365	−	1.02106i	0.999705	−	0.0242904i	$-0.00773262\pi$
$948$	4.92322	−	2.11391i	0.159899	−	0.0686565i
$949$	34.8217	−	15.5036i	1.13036	−	0.503269i
$950$	3.24471	+	30.8713i	0.105272	+	1.00160i
$951$	−6.23438	−	20.0935i	−0.202163	−	0.651575i
$952$	−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	$-0.200526\pi$
$954$	−23.5870	+	9.75800i	−0.763658	+	0.315927i
$955$	−18.4002	−	56.6299i	−0.595416	−	1.83250i
$956$	0.315974	−	3.00629i	0.0102193	−	0.0972304i
$957$	48.1560	+	22.2130i	1.55666	+	0.718044i
$958$	−1.74846	−	0.371646i	−0.0564900	−	0.0120073i
$959$	3.47967	+	33.1069i	0.112365	+	1.06908i
$960$	−3.53569	+	3.82321i	−0.114114	+	0.123394i
$961$	−5.95950	+	56.7008i	−0.192242	+	1.82906i
$962$	3.62195	−	2.63150i	0.116776	−	0.0848429i
$963$	−8.44492	+	8.89131i	−0.272134	+	0.286518i
$964$	14.0629	−	10.2173i	0.452936	−	0.329077i
$965$	−42.0194	−	18.7082i	−1.35265	−	0.602239i
$966$	17.4096	+	0.231705i	0.560145	+	0.00745500i
$967$	−5.92155	−	6.57655i	−0.190424	−	0.211488i	0.640371	−	0.768066i	$-0.278781\pi$
$967$	−5.92155	−	6.57655i	−0.190424	−	0.211488i	−0.830795	+	0.556578i	$0.812114\pi$
$968$	−0.798002	−	7.59248i	−0.0256488	−	0.244032i
$969$	−59.2095	+	25.4231i	−1.90208	+	0.816708i
$970$	−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	$0.811145\pi$
$972$	−3.82066	−	15.1130i	−0.122548	−	0.484750i
$973$	−0.625032	+	1.92365i	−0.0200376	+	0.0616694i
$974$	25.3834	−	5.39541i	0.813336	−	0.172880i
$975$	−1.57573	−	17.1897i	−0.0504636	−	0.550510i
$976$	−9.84475	−	10.9337i	−0.315123	−	0.349979i
$977$	−0.816788	−	7.77122i	−0.0261314	−	0.248623i	−0.999788	−	0.0206030i	$-0.993441\pi$
$977$	−0.816788	−	7.77122i	−0.0261314	−	0.248623i	0.973656	−	0.228020i	$-0.0732253\pi$
$978$	12.9267	+	0.172042i	0.413349	+	0.00550128i
$979$	46.9372	−	52.1291i	1.50012	−	1.66605i
$980$	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	0.931243	+	0.364399i	$0.118726\pi$
$983$	24.4928	+	42.4228i	0.781200	+	1.35308i	−0.150043	+	0.988680i	$0.547941\pi$
$984$	7.53349	−	8.13920i	0.240159	−	0.259468i
$985$	36.9178	−	63.9436i	1.17630	−	2.03741i
$986$	−31.3686	+	13.9662i	−0.998979	+	0.444774i
$987$	−3.39323	−	1.56520i	−0.108008	−	0.0498209i
$988$	12.6869	−	14.0903i	0.403625	−	0.448271i
$989$	1.80950	+	5.56907i	0.0575388	+	0.177086i
$990$	3.03790	+	38.8168i	0.0965508	+	1.23368i
$991$	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	$0.0731093\pi$
$992$	9.17652	−	1.95053i	0.291355	−	0.0619294i
$993$	12.3120	−	8.69721i	0.390709	−	0.275998i
$994$	28.1407	+	31.2534i	0.892570	+	0.991299i
$995$	5.85469	+	6.50229i	0.185606	+	0.206136i
$996$	13.4313	−	5.76709i	0.425588	−	0.182737i
$997$	1.26069	−	11.9947i	0.0399265	−	0.379875i	−0.956253	−	0.292542i	$-0.905499\pi$
$997$	1.26069	−	11.9947i	0.0399265	−	0.379875i	0.996179	−	0.0873332i	$-0.0278345\pi$
$998$	−30.0784			−0.952116
$999$	7.84310	−	5.23317i	0.248145	−	0.165570i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
738.2.s.b.133.13	✓	176	9.7	even	3	inner
738.2.s.b.283.13	yes	176	41.37	even	5	inner
738.2.s.b.529.13	yes	176	369.160	even	15	inner
738.2.s.b.625.13	yes	176	1.1	even	1	trivial

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+(-0.104528 + 0.994522i) q^{2} +(0.158109 + 1.72482i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(-2.94085 - 0.625097i) q^{5} +(-1.73190 - 0.0230499i) q^{6} +(-2.55628 - 1.13813i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-2.95000 + 0.545419i) q^{9} +(0.929075 - 2.85940i) q^{10} +(4.22242 - 0.897502i) q^{11} +(0.203956 - 1.72000i) q^{12} +(-2.25395 + 1.00352i) q^{13} +(1.39910 - 2.42331i) q^{14} +(0.613204 - 5.17126i) q^{15} +(0.913545 + 0.406737i) q^{16} +(-1.49597 + 4.60414i) q^{17} +(-0.234071 - 2.99085i) q^{18} +(6.21712 - 4.51700i) q^{19} +(2.74662 + 1.22287i) q^{20} +(1.55890 - 4.58908i) q^{21} +(0.451223 + 4.29310i) q^{22} +(3.28184 - 1.46117i) q^{23} +(1.68926 + 0.382628i) q^{24} +(3.69011 + 1.64294i) q^{25} +(-0.762424 - 2.34650i) q^{26} +(-1.40717 - 5.00199i) q^{27} +(2.26379 + 1.64474i) q^{28} +(4.74607 - 5.27104i) q^{29} +(5.07884 + 1.15039i) q^{30} +(-6.27747 - 6.97184i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(2.21563 + 7.14100i) q^{33} +(-4.42254 - 1.96904i) q^{34} +(6.80620 + 4.94499i) q^{35} +(2.99894 + 0.0798402i) q^{36} +(0.560728 + 1.72574i) q^{37} +(3.84239 + 6.65521i) q^{38} +(-2.08727 - 3.72899i) q^{39} +(-1.50327 + 2.60375i) q^{40} +(3.20391 - 5.54391i) q^{41} +(4.40099 + 2.03005i) q^{42} +(-0.170382 + 1.62107i) q^{43} -4.31675 q^{44} +(9.01645 + 0.240043i) q^{45} +(1.11012 + 3.41660i) q^{46} +(0.0805931 - 0.766792i) q^{47} +(-0.557108 + 1.64001i) q^{48} +(0.555332 + 0.616758i) q^{49} +(-2.01967 + 3.49817i) q^{50} +(-8.17783 - 1.85233i) q^{51} +(2.41334 - 0.512972i) q^{52} +(-2.62930 - 8.09216i) q^{53} +(5.12167 - 0.876612i) q^{54} -12.9785 q^{55} +(-1.87236 + 2.07947i) q^{56} +(8.77399 + 10.0092i) q^{57} +(4.74607 + 5.27104i) q^{58} +(0.698012 - 0.310775i) q^{59} +(-1.67497 + 4.93077i) q^{60} +(-13.4408 - 5.98421i) q^{61} +(7.58982 - 5.51433i) q^{62} +(8.16180 + 1.96324i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(7.25583 - 1.54227i) q^{65} +(-7.33348 + 1.45706i) q^{66} +(-6.17267 - 1.31204i) q^{67} +(2.42054 - 4.19250i) q^{68} +(3.03915 + 5.42957i) q^{69} +(-5.62935 + 6.25202i) q^{70} +(-4.64438 + 14.2939i) q^{71} +(-0.392877 + 2.97416i) q^{72} -15.4492 q^{73} +(-1.77490 + 0.377267i) q^{74} +(-2.25034 + 6.62455i) q^{75} +(-7.02039 + 3.12568i) q^{76} +(-11.8152 - 2.51139i) q^{77} +(3.92674 - 1.68605i) 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} +(-2.47896 + 4.16468i) q^{84} +(7.27747 - 12.6049i) q^{85} +(-1.59438 - 0.338897i) q^{86} +(9.84199 + 7.35271i) q^{87} +(0.451223 - 4.29310i) q^{88} +(13.1464 - 9.55143i) q^{89} +(-1.18120 + 8.94197i) q^{90} +6.90388 q^{91} +(-3.51392 + 0.746907i) q^{92} +(11.0326 - 11.9298i) q^{93} +(0.754168 + 0.160303i) q^{94} +(-21.1072 + 9.39751i) q^{95} +(-1.57279 - 0.725483i) q^{96} +(4.19905 - 4.66352i) q^{97} +(-0.671427 + 0.487821i) q^{98} +(-11.9666 + 4.95062i) 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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