LMFDB - Embedded newform 147.2.k.a.104.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [147,2,Mod(20,147)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(147, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 13]))

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

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

chi := DirichletCharacter("147.20");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 147 = 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	147.k (of order $14$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.17380090971$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$16$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			104.8
Character	$\chi$	$=$	147.104
Dual form			147.2.k.a.41.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.316774 - 0.252619i) q^{2} +(0.666108 + 1.59884i) q^{3} +(-0.408512 - 1.78981i) q^{4} +(1.71735 + 0.827032i) q^{5} +(0.192893 - 0.674744i) q^{6} +(1.33572 - 2.28382i) q^{7} +(-0.674327 + 1.40025i) q^{8} +(-2.11260 + 2.13000i) q^{9} +O(q^{10})$	\(q+(-0.316774 - 0.252619i) q^{2} +(0.666108 + 1.59884i) q^{3} +(-0.408512 - 1.78981i) q^{4} +(1.71735 + 0.827032i) q^{5} +(0.192893 - 0.674744i) q^{6} +(1.33572 - 2.28382i) q^{7} +(-0.674327 + 1.40025i) q^{8} +(-2.11260 + 2.13000i) q^{9} +(-0.335088 - 0.695818i) q^{10} +(3.02606 + 2.41320i) q^{11} +(2.58951 - 1.84535i) q^{12} +(0.165100 + 0.131662i) q^{13} +(-1.00006 + 0.386027i) q^{14} +(-0.178355 + 3.29667i) q^{15} +(-2.74072 + 1.31986i) q^{16} +(0.675647 - 2.96020i) q^{17} +(1.20730 - 0.141047i) q^{18} +0.353049i q^{19} +(0.778671 - 3.41158i) q^{20} +(4.54121 + 0.614343i) q^{21} +(-0.348957 - 1.52888i) q^{22} +(-5.70643 + 1.30246i) q^{23} +(-2.68796 - 0.145423i) q^{24} +(-0.852142 - 1.06855i) q^{25} +(-0.0190388 - 0.0834146i) q^{26} +(-4.81276 - 1.95891i) q^{27} +(-4.63327 - 1.45772i) q^{28} +(-4.53438 - 1.03494i) q^{29} +(0.889299 - 0.999243i) q^{30} -5.53130i q^{31} +(4.23201 + 0.965929i) q^{32} +(-1.84265 + 6.44565i) q^{33} +(-0.961831 + 0.767034i) q^{34} +(4.18270 - 2.81743i) q^{35} +(4.67532 + 2.91102i) q^{36} +(-1.82094 + 7.97808i) q^{37} +(0.0891870 - 0.111837i) q^{38} +(-0.100534 + 0.351670i) q^{39} +(-2.31611 + 1.84704i) q^{40} +(-6.08147 - 2.92868i) q^{41} +(-1.28334 - 1.34180i) q^{42} +(5.39821 - 2.59964i) q^{43} +(3.08299 - 6.40189i) q^{44} +(-5.38966 + 1.91077i) q^{45} +(2.13668 + 1.02897i) q^{46} +(-6.89226 + 8.64262i) q^{47} +(-3.93587 - 3.50282i) q^{48} +(-3.43168 - 6.10111i) q^{49} +0.553757i q^{50} +(5.18295 - 0.891559i) q^{51} +(0.168206 - 0.349282i) q^{52} +(-7.60759 + 1.73638i) q^{53} +(1.02970 + 1.83633i) q^{54} +(3.20101 + 6.64696i) q^{55} +(2.29722 + 3.41039i) q^{56} +(-0.564470 + 0.235169i) q^{57} +(1.17493 + 1.47331i) q^{58} +(7.53992 - 3.63103i) q^{59} +(5.97326 - 1.02751i) q^{60} +(0.504951 + 0.115252i) q^{61} +(-1.39731 + 1.75217i) q^{62} +(2.04270 + 7.66990i) q^{63} +(2.69670 + 3.38156i) q^{64} +(0.174645 + 0.362653i) q^{65} +(2.21200 - 1.57633i) q^{66} +9.74187 q^{67} -5.57421 q^{68} +(-5.88352 - 8.25612i) q^{69} +(-2.03671 - 0.164139i) q^{70} +(12.0052 - 2.74011i) q^{71} +(-1.55796 - 4.39450i) q^{72} +(3.11014 - 2.48026i) q^{73} +(2.59224 - 2.06724i) q^{74} +(1.14083 - 2.07421i) q^{75} +(0.631891 - 0.144225i) q^{76} +(9.55330 - 3.68761i) q^{77} +(0.120685 - 0.0860032i) q^{78} -3.31719 q^{79} -5.79835 q^{80} +(-0.0738307 - 8.99970i) q^{81} +(1.18661 + 2.46402i) q^{82} +(9.52557 + 11.9447i) q^{83} +(-0.755584 - 8.37887i) q^{84} +(3.60850 - 4.52492i) q^{85} +(-2.36673 - 0.540191i) q^{86} +(-1.36567 - 7.93914i) q^{87} +(-5.41965 + 2.60996i) q^{88} +(-1.22461 - 1.53562i) q^{89} +(2.19000 + 0.756246i) q^{90} +(0.521221 - 0.201193i) q^{91} +(4.66230 + 9.68136i) q^{92} +(8.84368 - 3.68444i) q^{93} +(4.36658 - 0.996644i) q^{94} +(-0.291983 + 0.606309i) q^{95} +(1.27461 + 7.40974i) q^{96} +12.2151i q^{97} +(-0.454188 + 2.79958i) q^{98} +(-11.5330 + 1.34738i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q - 7 q^{3} + 2 q^{4} + 7 q^{6} - 14 q^{7} + 5 q^{9}+O(q^{10}) $ 96 * q - 7 * q^3 + 2 * q^4 + 7 * q^6 - 14 * q^7 + 5 * q^9	$ 96 q - 7 q^{3} + 2 q^{4} + 7 q^{6} - 14 q^{7} + 5 q^{9} - 14 q^{10} - 42 q^{12} - 14 q^{13} - 5 q^{15} - 22 q^{16} - 18 q^{18} - 7 q^{21} + 4 q^{22} - 7 q^{24} - 26 q^{25} - 28 q^{27} + 28 q^{28} - 20 q^{30} - 7 q^{33} - 70 q^{34} - 37 q^{36} + 38 q^{37} - 9 q^{39} - 28 q^{40} + 7 q^{42} - 18 q^{43} + 14 q^{45} + 62 q^{46} + 14 q^{49} - q^{51} + 112 q^{52} - 7 q^{54} - 56 q^{55} + q^{57} - 84 q^{58} + 111 q^{60} + 84 q^{61} - 7 q^{63} - 2 q^{64} + 21 q^{66} - 16 q^{67} - 91 q^{69} - 70 q^{70} - 27 q^{72} - 14 q^{73} + 119 q^{75} + 210 q^{76} - 87 q^{78} - 32 q^{79} - 71 q^{81} - 84 q^{82} + 154 q^{84} + 46 q^{85} + 49 q^{87} - 22 q^{88} + 203 q^{90} - 42 q^{91} + 53 q^{93} - 42 q^{94} - 28 q^{96} + 100 q^{99}+O(q^{100}) $ 96 * q - 7 * q^3 + 2 * q^4 + 7 * q^6 - 14 * q^7 + 5 * q^9 - 14 * q^10 - 42 * q^12 - 14 * q^13 - 5 * q^15 - 22 * q^16 - 18 * q^18 - 7 * q^21 + 4 * q^22 - 7 * q^24 - 26 * q^25 - 28 * q^27 + 28 * q^28 - 20 * q^30 - 7 * q^33 - 70 * q^34 - 37 * q^36 + 38 * q^37 - 9 * q^39 - 28 * q^40 + 7 * q^42 - 18 * q^43 + 14 * q^45 + 62 * q^46 + 14 * q^49 - q^51 + 112 * q^52 - 7 * q^54 - 56 * q^55 + q^57 - 84 * q^58 + 111 * q^60 + 84 * q^61 - 7 * q^63 - 2 * q^64 + 21 * q^66 - 16 * q^67 - 91 * q^69 - 70 * q^70 - 27 * q^72 - 14 * q^73 + 119 * q^75 + 210 * q^76 - 87 * q^78 - 32 * q^79 - 71 * q^81 - 84 * q^82 + 154 * q^84 + 46 * q^85 + 49 * q^87 - 22 * q^88 + 203 * q^90 - 42 * q^91 + 53 * q^93 - 42 * q^94 - 28 * q^96 + 100 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/147\mathbb{Z}\right)^\times$.

$n$	$50$	$52$
$\chi(n)$	$-1$	$e\left(\frac{9}{14}\right)$

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 $

$2$	−0.316774	−	0.252619i	−0.223993	−	0.178629i	0.505063	−	0.863083i	$-0.331469\pi$
$2$	−0.316774	−	0.252619i	−0.223993	−	0.178629i	−0.729056	+	0.684454i	$0.760041\pi$
$3$	0.666108	+	1.59884i	0.384577	+	0.923093i
$3$	0.666108	+	1.59884i	0.384577	+	0.923093i
$4$	−0.408512	−	1.78981i	−0.204256	−	0.894905i
$5$	1.71735	+	0.827032i	0.768022	+	0.369860i	0.776511	−	0.630104i	$-0.216988\pi$
$5$	1.71735	+	0.827032i	0.768022	+	0.369860i	−0.00848870	+	0.999964i	$0.502702\pi$
$6$	0.192893	−	0.674744i	0.0787481	−	0.275463i
$7$	1.33572	−	2.28382i	0.504856	−	0.863203i
$7$	1.33572	−	2.28382i	0.504856	−	0.863203i
$8$	−0.674327	+	1.40025i	−0.238411	+	0.495065i
$9$	−2.11260	+	2.13000i	−0.704200	+	0.710001i
$10$	−0.335088	−	0.695818i	−0.105964	−	0.220037i
$11$	3.02606	+	2.41320i	0.912391	+	0.727608i	0.962542	−	0.271134i	$-0.0873987\pi$
$11$	3.02606	+	2.41320i	0.912391	+	0.727608i	−0.0501505	+	0.998742i	$0.515970\pi$
$12$	2.58951	−	1.84535i	0.747528	−	0.532707i
$13$	0.165100	+	0.131662i	0.0457904	+	0.0365166i	0.646118	−	0.763238i	$-0.276392\pi$
$13$	0.165100	+	0.131662i	0.0457904	+	0.0365166i	−0.600327	+	0.799754i	$0.704963\pi$
$14$	−1.00006	+	0.386027i	−0.267277	+	0.103170i
$15$	−0.178355	+	3.29667i	−0.0460511	+	0.851195i
$16$	−2.74072	+	1.31986i	−0.685181	+	0.329966i
$17$	0.675647	−	2.96020i	0.163868	−	0.717954i	−0.824498	−	0.565864i	$-0.808543\pi$
$17$	0.675647	−	2.96020i	0.163868	−	0.717954i	0.988367	−	0.152090i	$-0.0486003\pi$
$18$	1.20730	−	0.141047i	0.284563	−	0.0332451i
$19$			0.353049i			0.0809951i	0.999180	+	0.0404975i	$0.0128943\pi$
$19$			0.353049i			0.0809951i	−0.999180	+	0.0404975i	$0.987106\pi$
$20$	0.778671	−	3.41158i	0.174116	−	0.762853i
$21$	4.54121	+	0.614343i	0.990973	+	0.134061i
$22$	−0.348957	−	1.52888i	−0.0743979	−	0.325958i
$23$	−5.70643	+	1.30246i	−1.18987	+	0.271581i	−0.771222	−	0.636566i	$-0.780354\pi$
$23$	−5.70643	+	1.30246i	−1.18987	+	0.271581i	−0.418652	+	0.908147i	$0.637497\pi$
$24$	−2.68796	−	0.145423i	−0.548678	−	0.0296844i
$25$	−0.852142	−	1.06855i	−0.170428	−	0.213710i
$26$	−0.0190388	−	0.0834146i	−0.00373382	−	0.0163589i
$27$	−4.81276	−	1.95891i	−0.926217	−	0.376992i
$28$	−4.63327	−	1.45772i	−0.875605	−	0.275484i
$29$	−4.53438	−	1.03494i	−0.842012	−	0.192184i	−0.220303	−	0.975432i	$-0.570705\pi$
$29$	−4.53438	−	1.03494i	−0.842012	−	0.192184i	−0.621710	+	0.783248i	$0.713562\pi$
$30$	0.889299	−	0.999243i	0.162363	−	0.182436i
$31$		−	5.53130i		−	0.993450i	−0.867908	−	0.496725i	$-0.834536\pi$
$31$		−	5.53130i		−	0.993450i	0.867908	−	0.496725i	$-0.165464\pi$
$32$	4.23201	+	0.965929i	0.748121	+	0.170754i
$33$	−1.84265	+	6.44565i	−0.320764	+	1.12204i
$34$	−0.961831	+	0.767034i	−0.164953	+	0.131545i
$35$	4.18270	−	2.81743i	0.707005	−	0.476233i
$36$	4.67532	+	2.91102i	0.779221	+	0.485170i
$37$	−1.82094	+	7.97808i	−0.299361	+	1.31159i	0.571720	+	0.820449i	$0.306276\pi$
$37$	−1.82094	+	7.97808i	−0.299361	+	1.31159i	−0.871081	+	0.491139i	$0.836581\pi$
$38$	0.0891870	−	0.111837i	0.0144680	−	0.0181423i
$39$	−0.100534	+	0.351670i	−0.0160983	+	0.0563122i
$40$	−2.31611	+	1.84704i	−0.366209	+	0.292042i
$41$	−6.08147	−	2.92868i	−0.949765	−	0.457383i	−0.106162	−	0.994349i	$-0.533856\pi$
$41$	−6.08147	−	2.92868i	−0.949765	−	0.457383i	−0.843604	+	0.536966i	$0.819570\pi$
$42$	−1.28334	−	1.34180i	−0.198024	−	0.207045i
$43$	5.39821	−	2.59964i	0.823219	−	0.396442i	0.0256517	−	0.999671i	$-0.491834\pi$
$43$	5.39821	−	2.59964i	0.823219	−	0.396442i	0.797568	+	0.603229i	$0.206120\pi$
$44$	3.08299	−	6.40189i	0.464778	−	0.965121i
$45$	−5.38966	+	1.91077i	−0.803442	+	0.284841i
$46$	2.13668	+	1.02897i	0.315036	+	0.151713i
$47$	−6.89226	+	8.64262i	−1.00534	+	1.26066i	−0.0401259	+	0.999195i	$0.512776\pi$
$47$	−6.89226	+	8.64262i	−1.00534	+	1.26066i	−0.965214	+	0.261462i	$0.915796\pi$
$48$	−3.93587	−	3.50282i	−0.568094	−	0.505588i
$49$	−3.43168	−	6.10111i	−0.490241	−	0.871587i
$50$			0.553757i			0.0783131i
$51$	5.18295	−	0.891559i	0.725758	−	0.124843i
$52$	0.168206	−	0.349282i	0.0233259	−	0.0484368i
$53$	−7.60759	+	1.73638i	−1.04498	+	0.238511i	−0.710358	−	0.703841i	$-0.751467\pi$
$53$	−7.60759	+	1.73638i	−1.04498	+	0.238511i	−0.334625	+	0.942351i	$0.608610\pi$
$54$	1.02970	+	1.83633i	0.140125	+	0.249892i
$55$	3.20101	+	6.64696i	0.431624	+	0.896276i
$56$	2.29722	+	3.41039i	0.306978	+	0.455733i
$57$	−0.564470	+	0.235169i	−0.0747659	+	0.0311489i
$58$	1.17493	+	1.47331i	0.154276	+	0.193455i
$59$	7.53992	−	3.63103i	0.981614	−	0.472720i	0.126954	−	0.991909i	$-0.459480\pi$
$59$	7.53992	−	3.63103i	0.981614	−	0.472720i	0.854660	+	0.519188i	$0.173766\pi$
$60$	5.97326	−	1.02751i	0.771145	−	0.132651i
$61$	0.504951	+	0.115252i	0.0646524	+	0.0147565i	0.254725	−	0.967014i	$-0.418015\pi$
$61$	0.504951	+	0.115252i	0.0646524	+	0.0147565i	−0.190072	+	0.981770i	$0.560872\pi$
$62$	−1.39731	+	1.75217i	−0.177459	+	0.222526i
$63$	2.04270	+	7.66990i	0.257356	+	0.966317i
$64$	2.69670	+	3.38156i	0.337088	+	0.422694i
$65$	0.174645	+	0.362653i	0.0216620	+	0.0449816i
$66$	2.21200	−	1.57633i	0.272278	−	0.194032i
$67$	9.74187			1.19016			0.595080	−	0.803667i	$-0.297120\pi$
$67$	9.74187			1.19016			0.595080	+	0.803667i	$0.297120\pi$
$68$	−5.57421			−0.675972
$69$	−5.88352	−	8.25612i	−0.708293	−	0.993920i
$70$	−2.03671	−	0.164139i	−0.243433	−	0.0196183i
$71$	12.0052	−	2.74011i	1.42475	−	0.325191i	0.560462	−	0.828180i	$-0.310624\pi$
$71$	12.0052	−	2.74011i	1.42475	−	0.325191i	0.864293	+	0.502989i	$0.167766\pi$
$72$	−1.55796	−	4.39450i	−0.183608	−	0.517896i
$73$	3.11014	−	2.48026i	0.364015	−	0.290292i	−0.424352	−	0.905497i	$-0.639498\pi$
$73$	3.11014	−	2.48026i	0.364015	−	0.290292i	0.788367	+	0.615205i	$0.210927\pi$
$74$	2.59224	−	2.06724i	0.301342	−	0.240312i
$75$	1.14083	−	2.07421i	0.131732	−	0.239509i
$76$	0.631891	−	0.144225i	0.0724828	−	0.0165437i
$77$	9.55330	−	3.68761i	1.08870	−	0.420242i
$78$	0.120685	−	0.0860032i	0.0136649	−	0.00973795i
$79$	−3.31719			−0.373213			−0.186606	−	0.982435i	$-0.559749\pi$
$79$	−3.31719			−0.373213			−0.186606	+	0.982435i	$0.559749\pi$
$80$	−5.79835			−0.648275
$81$	−0.0738307	−	8.99970i	−0.00820342	−	0.999966i
$82$	1.18661	+	2.46402i	0.131039	+	0.272106i
$83$	9.52557	+	11.9447i	1.04557	+	1.31110i	0.948829	+	0.315790i	$0.102269\pi$
$83$	9.52557	+	11.9447i	1.04557	+	1.31110i	0.0967380	+	0.995310i	$0.469159\pi$
$84$	−0.755584	−	8.37887i	−0.0824410	−	0.914209i
$85$	3.60850	−	4.52492i	0.391397	−	0.490796i
$86$	−2.36673	−	0.540191i	−0.255211	−	0.0582503i
$87$	−1.36567	−	7.93914i	−0.146415	−	0.851165i
$88$	−5.41965	+	2.60996i	−0.577736	+	0.278223i
$89$	−1.22461	−	1.53562i	−0.129809	−	0.162775i	0.712679	−	0.701490i	$-0.247481\pi$
$89$	−1.22461	−	1.53562i	−0.129809	−	0.162775i	−0.842488	+	0.538715i	$0.818910\pi$
$90$	2.19000	+	0.756246i	0.230846	+	0.0797154i
$91$	0.521221	−	0.201193i	0.0546388	−	0.0210908i
$92$	4.66230	+	9.68136i	0.486078	+	1.00935i
$93$	8.84368	−	3.68444i	0.917047	−	0.382059i
$94$	4.36658	−	0.996644i	0.450379	−	0.102796i
$95$	−0.291983	+	0.606309i	−0.0299568	+	0.0622060i
$96$	1.27461	+	7.40974i	0.130089	+	0.756253i
$97$			12.2151i			1.24025i	0.784503	+	0.620125i	$0.212918\pi$
$97$			12.2151i			1.24025i	−0.784503	+	0.620125i	$0.787082\pi$
$98$	−0.454188	+	2.79958i	−0.0458799	+	0.282801i
$99$	−11.5330	+	1.34738i	−1.15911	+	0.135417i
$100$	−1.56439	+	1.96169i	−0.156439	+	0.196169i
$101$	−4.28645	−	2.06424i	−0.426517	−	0.205400i	0.208295	−	0.978066i	$-0.433208\pi$
$101$	−4.28645	−	2.06424i	−0.426517	−	0.205400i	−0.634813	+	0.772666i	$0.718923\pi$
$102$	−1.86705	−	1.02689i	−0.184866	−	0.101677i
$103$	6.94837	−	14.4284i	0.684643	−	1.42168i	−0.211262	−	0.977429i	$-0.567757\pi$
$103$	6.94837	−	14.4284i	0.684643	−	1.42168i	0.895905	−	0.444246i	$-0.146528\pi$
$104$	−0.295692	+	0.142398i	−0.0289950	+	0.0139632i
$105$	7.29076	+	4.81077i	0.711506	+	0.469483i
$106$	2.84853	+	1.37178i	0.276674	+	0.133239i
$107$	−6.93588	+	5.53118i	−0.670517	+	0.534719i	−0.898515	−	0.438942i	$-0.855353\pi$
$107$	−6.93588	+	5.53118i	−0.670517	+	0.534719i	0.227998	+	0.973661i	$0.426782\pi$
$108$	−1.54000	+	9.41416i	−0.148186	+	0.905878i
$109$	−7.64154	+	9.58219i	−0.731927	+	0.917807i	−0.998947	−	0.0458838i	$-0.985390\pi$
$109$	−7.64154	+	9.58219i	−0.731927	+	0.917807i	0.267020	+	0.963691i	$0.413961\pi$
$110$	0.665152	−	2.91422i	0.0634197	−	0.277860i
$111$	−13.9686	+	2.40285i	−1.32584	+	0.228069i
$112$	−0.646519	+	8.02230i	−0.0610903	+	0.758036i
$113$	−6.80871	+	5.42976i	−0.640509	+	0.510789i	−0.889037	−	0.457836i	$-0.848625\pi$
$113$	−6.80871	+	5.42976i	−0.640509	+	0.510789i	0.248528	+	0.968625i	$0.420053\pi$
$114$	0.238218	+	0.0681006i	0.0223111	+	0.00637820i
$115$	−10.8771	−	2.48263i	−1.01430	−	0.231506i
$116$			8.53846i			0.792776i
$117$	−0.629231	+	0.0735123i	−0.0581724	+	0.00679621i
$118$	−3.30572	−	0.754509i	−0.304316	−	0.0694582i
$119$	−5.85809	−	5.49707i	−0.537011	−	0.503915i
$120$	−4.49590	−	2.47277i	−0.410418	−	0.225732i
$121$	0.885761	+	3.88077i	0.0805237	+	0.352797i
$122$	−0.130841	−	0.164069i	−0.0118458	−	0.0148541i
$123$	0.631590	−	11.6741i	0.0569486	−	1.05262i
$124$	−9.89997	+	2.25960i	−0.889043	+	0.202918i
$125$	−2.70045	−	11.8314i	−0.241536	−	1.05824i
$126$	1.29049	−	2.94565i	0.114966	−	0.262420i
$127$	−3.33031	+	14.5910i	−0.295517	+	1.29475i	0.581208	+	0.813755i	$0.302580\pi$
$127$	−3.33031	+	14.5910i	−0.295517	+	1.29475i	−0.876725	+	0.480991i	$0.840277\pi$
$128$		−	10.4341i		−	0.922254i
$129$	7.75221	+	6.89925i	0.682544	+	0.607445i
$130$	0.0362902	−	0.158998i	0.00318286	−	0.0139450i
$131$	15.9628	−	7.68729i	1.39468	−	0.671642i	0.422604	−	0.906314i	$-0.361116\pi$
$131$	15.9628	−	7.68729i	1.39468	−	0.671642i	0.972075	+	0.234672i	$0.0754017\pi$
$132$	12.2892	+	0.664868i	1.06964	+	0.0578693i
$133$	0.806302	+	0.471576i	0.0699152	+	0.0408909i
$134$	−3.08598	−	2.46098i	−0.266588	−	0.212597i
$135$	−6.64512	−	7.34444i	−0.571920	−	0.632108i
$136$	3.68943	+	2.94222i	0.316366	+	0.252293i
$137$	−6.93672	−	14.4043i	−0.592644	−	1.23064i	−0.954446	−	0.298383i	$-0.903553\pi$
$137$	−6.93672	−	14.4043i	−0.592644	−	1.23064i	0.361802	−	0.932255i	$-0.382162\pi$
$138$	−0.221904	+	4.10162i	−0.0188898	+	0.349153i
$139$	6.16230	−	12.7961i	0.522679	−	1.08535i	−0.457859	−	0.889025i	$-0.651384\pi$
$139$	6.16230	−	12.7961i	0.522679	−	1.08535i	0.980538	−	0.196329i	$-0.0629022\pi$
$140$	−6.75135	−	6.33528i	−0.570593	−	0.535429i
$141$	−18.4092	−	5.26273i	−1.55033	−	0.443202i
$142$	−4.49514	−	2.16475i	−0.377224	−	0.181661i
$143$	0.181873	+	0.796837i	0.0152090	+	0.0666349i
$144$	2.97875	−	8.62610i	0.248229	−	0.718842i
$145$	−6.93118	−	5.52743i	−0.575603	−	0.459028i
$146$	−1.61177			−0.133391
$147$	7.46885	−	9.55072i	0.616020	−	0.787730i
$148$	15.0231			1.23489
$149$	11.1709	+	8.90853i	0.915160	+	0.729815i	0.963131	−	0.269033i	$-0.0867042\pi$
$149$	11.1709	+	8.90853i	0.915160	+	0.729815i	−0.0479712	+	0.998849i	$0.515276\pi$
$150$	−0.885371	+	0.368862i	−0.0722902	+	0.0301174i
$151$	5.21860	+	22.8642i	0.424684	+	1.86066i	0.503839	+	0.863798i	$0.331921\pi$
$151$	5.21860	+	22.8642i	0.424684	+	1.86066i	−0.0791553	+	0.996862i	$0.525222\pi$
$152$	−0.494359	−	0.238071i	−0.0400978	−	0.0193101i
$153$	4.87787	+	7.69285i	0.394352	+	0.621930i
$154$	−3.95780	−	1.24521i	−0.318929	−	0.100342i
$155$	4.57456	−	9.49917i	0.367437	−	0.762992i
$156$	0.670491	+	0.0362747i	0.0536822	+	0.00290430i
$157$	−0.558147	−	1.15900i	−0.0445450	−	0.0924986i	0.877509	−	0.479561i	$-0.159204\pi$
$157$	−0.558147	−	1.15900i	−0.0445450	−	0.0924986i	−0.922054	+	0.387062i	$0.873490\pi$
$158$	1.05080	+	0.837985i	0.0835971	+	0.0666665i
$159$	−7.84368	−	11.0067i	−0.622044	−	0.872891i
$160$	6.46899	+	5.15885i	0.511418	+	0.407843i
$161$	−4.64764	+	14.7722i	−0.366286	+	1.16421i
$162$	−2.25011	+	2.86952i	−0.176785	+	0.225451i
$163$	−3.09182	+	1.48894i	−0.242170	+	0.116623i	−0.551033	−	0.834484i	$-0.685766\pi$
$163$	−3.09182	+	1.48894i	−0.242170	+	0.116623i	0.308863	+	0.951107i	$0.400052\pi$
$164$	−2.75742	+	12.0811i	−0.215319	+	0.943373i
$165$	−8.49523	+	9.54550i	−0.661353	+	0.743116i
$166$		−	6.19011i		−	0.480446i
$167$	2.85935	−	12.5276i	0.221263	−	0.969418i	−0.735265	−	0.677780i	$-0.762942\pi$
$167$	2.85935	−	12.5276i	0.221263	−	0.969418i	0.956529	−	0.291639i	$-0.0942005\pi$
$168$	−3.92249	+	5.94458i	−0.302627	+	0.458634i
$169$	−2.88285	−	12.6306i	−0.221758	−	0.971584i
$170$	−2.28616	+	0.521801i	−0.175341	+	0.0400203i
$171$	−0.751996	−	0.745852i	−0.0575066	−	0.0570368i
$172$	−6.85810	−	8.59978i	−0.522925	−	0.655727i
$173$	0.352333	+	1.54367i	0.0267874	+	0.117363i	0.986554	−	0.163436i	$-0.0522577\pi$
$173$	0.352333	+	1.54367i	0.0267874	+	0.117363i	−0.959767	+	0.280799i	$0.909401\pi$
$174$	−1.57297	+	2.85991i	−0.119246	+	0.216809i
$175$	−3.57861	+	0.518850i	−0.270517	+	0.0392213i
$176$	−11.4787	−	2.61994i	−0.865239	−	0.197485i
$177$	10.8278	+	9.63649i	0.813871	+	0.724323i
$178$			0.795804i			0.0596480i
$179$	−1.44673	−	0.330207i	−0.108134	−	0.0246808i	0.168112	−	0.985768i	$-0.446233\pi$
$179$	−1.44673	−	0.330207i	−0.108134	−	0.0246808i	−0.276245	+	0.961087i	$0.589090\pi$
$180$	5.62166	+	8.86588i	0.419014	+	0.660824i
$181$	8.19249	−	6.53329i	0.608943	−	0.485616i	−0.269797	−	0.962917i	$-0.586957\pi$
$181$	8.19249	−	6.53329i	0.608943	−	0.485616i	0.878739	+	0.477302i	$0.158385\pi$
$182$	−0.215935	−	0.0679376i	−0.0160061	−	0.00503587i
$183$	0.152082	+	0.884108i	0.0112422	+	0.0653552i
$184$	2.02423	−	8.86874i	0.149228	−	0.653812i
$185$	−9.72532	+	12.1952i	−0.715020	+	0.896606i
$186$	−3.73221	−	1.06695i	−0.273659	−	0.0782323i
$187$	9.18811	−	7.32727i	0.671901	−	0.535823i
$188$	18.2842	+	8.80522i	1.33351	+	0.642186i
$189$	−10.9023	+	8.37493i	−0.793027	+	0.609187i
$190$	0.245658	−	0.118303i	0.0178219	−	0.00858257i
$191$	−1.16464	+	2.41839i	−0.0842701	+	0.174989i	−0.938846	−	0.344339i	$-0.888103\pi$
$191$	−1.16464	+	2.41839i	−0.0842701	+	0.174989i	0.854575	+	0.519327i	$0.173817\pi$
$192$	−3.61029	+	6.56408i	−0.260550	+	0.473722i
$193$	11.3514	+	5.46655i	0.817092	+	0.393491i	0.795258	−	0.606271i	$-0.207335\pi$
$193$	11.3514	+	5.46655i	0.817092	+	0.393491i	0.0218336	+	0.999762i	$0.493050\pi$
$194$	3.08576	−	3.86942i	0.221544	−	0.277808i
$195$	−0.463494	+	0.520795i	−0.0331915	+	0.0372949i
$196$	−9.51794	+	8.63444i	−0.679853	+	0.616746i
$197$		−	1.67285i		−	0.119186i	−0.998223	−	0.0595928i	$-0.981020\pi$
$197$		−	1.67285i		−	0.119186i	0.998223	−	0.0595928i	$-0.0189802\pi$
$198$	3.99373	+	2.48664i	0.283822	+	0.176717i
$199$	3.50486	−	7.27791i	0.248453	−	0.515917i	−0.739025	−	0.673678i	$-0.764713\pi$
$199$	3.50486	−	7.27791i	0.248453	−	0.515917i	0.987477	+	0.157761i	$0.0504276\pi$
$200$	2.07087	−	0.472662i	0.146432	−	0.0334222i
$201$	6.48914	+	15.5757i	0.457708	+	1.09863i
$202$	0.836369	+	1.73674i	0.0588467	+	0.122196i
$203$	−8.42030	+	8.97331i	−0.590989	+	0.629803i
$204$	−3.71302	−	8.91228i	−0.259963	−	0.623985i
$205$	−8.02189	−	10.0591i	−0.560273	−	0.702560i
$206$	−5.84596	+	2.81527i	−0.407307	+	0.196149i
$207$	9.28118	−	14.9063i	0.645087	−	1.03606i
$208$	−0.626269	−	0.142942i	−0.0434239	−	0.00991123i
$209$	−0.851979	+	1.06835i	−0.0589326	+	0.0738992i
$210$	−1.09423	−	3.36571i	−0.0755094	−	0.232256i
$211$	−3.75746	−	4.71170i	−0.258674	−	0.324367i	0.635488	−	0.772111i	$-0.280799\pi$
$211$	−3.75746	−	4.71170i	−0.258674	−	0.324367i	−0.894162	+	0.447744i	$0.852228\pi$
$212$	6.21559	+	12.9068i	0.426889	+	0.886443i
$213$	12.3778	+	17.3692i	0.848110	+	1.19012i
$214$	3.59439			0.245707
$215$	11.4206			0.778879
$216$	5.98834	−	5.41815i	0.407455	−	0.368658i
$217$	−12.6325	−	7.38829i	−0.857550	−	0.501550i
$218$	4.84129	−	1.10499i	0.327893	−	0.0748395i
$219$	6.03723	+	3.32052i	0.407958	+	0.224380i
$220$	10.5891	−	8.44455i	0.713919	−	0.569332i
$221$	0.501296	−	0.399771i	0.0337208	−	0.0268915i
$222$	5.03191	+	2.76758i	0.337720	+	0.185748i
$223$	7.79211	−	1.77850i	0.521799	−	0.119097i	0.0464942	−	0.998919i	$-0.485195\pi$
$223$	7.79211	−	1.77850i	0.521799	−	0.119097i	0.475304	+	0.879821i	$0.342338\pi$
$224$	7.85881	−	8.37494i	0.525089	−	0.559574i
$225$	4.07626	+	0.442359i	0.271750	+	0.0294906i
$226$	3.52848			0.234711
$227$	8.89616			0.590459			0.295229	−	0.955426i	$-0.404604\pi$
$227$	8.89616			0.590459			0.295229	+	0.955426i	$0.404604\pi$
$228$	0.651500	+	0.914225i	0.0431467	+	0.0605460i
$229$	−9.35986	−	19.4359i	−0.618517	−	1.28436i	−0.941198	−	0.337856i	$-0.890298\pi$
$229$	−9.35986	−	19.4359i	−0.618517	−	1.28436i	0.322681	−	0.946508i	$-0.395416\pi$
$230$	2.81843	+	3.53420i	0.185842	+	0.233038i
$231$	12.2594	+	12.8179i	0.806612	+	0.843355i
$232$	4.50683	−	5.65139i	0.295888	−	0.371032i
$233$	20.8486	+	4.75856i	1.36584	+	0.311744i	0.841726	−	0.539906i	$-0.181540\pi$
$233$	20.8486	+	4.75856i	1.36584	+	0.311744i	0.524112	+	0.851649i	$0.324397\pi$
$234$	0.217895	+	0.135669i	0.0142442	+	0.00886896i
$235$	−18.9841	+	9.14228i	−1.23839	+	0.596377i
$236$	−9.57901	−	12.0117i	−0.623540	−	0.781895i
$237$	−2.20960	−	5.30366i	−0.143529	−	0.344510i
$238$	0.467030	+	3.22120i	0.0302730	+	0.208799i
$239$	−9.68910	−	20.1196i	−0.626736	−	1.30143i	−0.936517	−	0.350623i	$-0.885970\pi$
$239$	−9.68910	−	20.1196i	−0.626736	−	1.30143i	0.309781	−	0.950808i	$-0.399744\pi$
$240$	−3.86233	−	9.27066i	−0.249312	−	0.598418i
$241$	6.36222	−	1.45214i	0.409827	−	0.0935403i	−0.0126368	−	0.999920i	$-0.504023\pi$
$241$	6.36222	−	1.45214i	0.409827	−	0.0935403i	0.422464	+	0.906380i	$0.361165\pi$
$242$	0.699771	−	1.45309i	0.0449830	−	0.0934081i
$243$	14.3399	−	6.11281i	0.919907	−	0.392137i
$244$		−	0.950849i		−	0.0608718i
$245$	−0.847587	−	13.3159i	−0.0541503	−	0.850718i
$246$	−3.14918	+	3.53851i	−0.200784	+	0.225607i
$247$	−0.0464833	+	0.0582883i	−0.00295766	+	0.00370879i
$248$	7.74522	+	3.72990i	0.491822	+	0.236849i
$249$	−12.7526	+	23.1863i	−0.808165	+	1.46937i
$250$	−2.13342	+	4.43008i	−0.134929	+	0.280183i
$251$	−27.6390	+	13.3102i	−1.74456	+	0.840134i	−0.763655	+	0.645625i	$0.776597\pi$
$251$	−27.6390	+	13.3102i	−1.74456	+	0.840134i	−0.980901	+	0.194509i	$0.937689\pi$
$252$	12.8932	−	6.78929i	0.812195	−	0.427685i
$253$	−20.4111	−	9.82947i	−1.28323	−	0.617973i
$254$	4.74093	−	3.78077i	0.297473	−	0.237227i
$255$	9.63829	+	2.75535i	0.603573	+	0.172547i
$256$	2.75754	−	3.45785i	0.172347	−	0.216116i
$257$	−2.08448	+	9.13270i	−0.130026	+	0.569682i	0.867376	+	0.497653i	$0.165805\pi$
$257$	−2.08448	+	9.13270i	−0.130026	+	0.569682i	−0.997403	+	0.0720293i	$0.977052\pi$
$258$	−0.712817	−	4.14386i	−0.0443781	−	0.257986i
$259$	15.7882	+	14.8152i	0.981033	+	0.920573i
$260$	0.577735	−	0.460729i	0.0358296	−	0.0285732i
$261$	11.7838	−	7.47182i	0.729396	−	0.462494i
$262$	−6.99857	−	1.59738i	−0.432373	−	0.0986863i
$263$			7.22678i			0.445622i	0.974862	+	0.222811i	$0.0715233\pi$
$263$			7.22678i			0.445622i	−0.974862	+	0.222811i	$0.928477\pi$
$264$	−7.78299	−	6.92665i	−0.479010	−	0.426306i
$265$	−14.5009	−	3.30975i	−0.890786	−	0.203316i
$266$	−0.136286	−	0.353070i	−0.00835626	−	0.0216481i
$267$	1.63949	−	2.98085i	0.100335	−	0.182425i
$268$	−3.97968	−	17.4361i	−0.243097	−	1.06508i
$269$	−0.604264	−	0.757723i	−0.0368426	−	0.0461992i	0.763069	−	0.646317i	$-0.223692\pi$
$269$	−0.604264	−	0.757723i	−0.0368426	−	0.0461992i	−0.799911	+	0.600118i	$0.795120\pi$
$270$	0.249657	+	4.00521i	0.0151936	+	0.243749i
$271$	−3.75601	+	0.857285i	−0.228161	+	0.0520763i	−0.335073	−	0.942192i	$-0.608761\pi$
$271$	−3.75601	+	0.857285i	−0.228161	+	0.0520763i	0.106912	+	0.994269i	$0.465904\pi$
$272$	2.05530	+	9.00486i	0.124621	+	0.546000i
$273$	0.668866	+	0.699335i	0.0404816	+	0.0423257i
$274$	−1.44141	+	6.31525i	−0.0870790	+	0.381518i
$275$		−	5.28989i		−	0.318992i
$276$	−12.3734	+	13.9031i	−0.744791	+	0.836869i
$277$	−2.19048	+	9.59711i	−0.131613	+	0.576634i	0.865514	+	0.500885i	$0.166992\pi$
$277$	−2.19048	+	9.59711i	−0.131613	+	0.576634i	−0.997127	+	0.0757494i	$0.975865\pi$
$278$	−5.18461	+	2.49677i	−0.310952	+	0.149747i
$279$	11.7817	+	11.6854i	0.705351	+	0.699588i
$280$	1.12462	+	7.75671i	0.0672087	+	0.463552i
$281$	9.32908	+	7.43969i	0.556526	+	0.443815i	0.860927	−	0.508729i	$-0.169885\pi$
$281$	9.32908	+	7.43969i	0.556526	+	0.443815i	−0.304400	+	0.952544i	$0.598456\pi$
$282$	4.50209	+	6.31761i	0.268096	+	0.376208i
$283$	18.1772	+	14.4958i	1.08052	+	0.861687i	0.990942	−	0.134293i	$-0.0428763\pi$
$283$	18.1772	+	14.4958i	1.08052	+	0.861687i	0.0895795	+	0.995980i	$0.471448\pi$
$284$	−9.80854	−	20.3676i	−0.582030	−	1.20860i
$285$	−1.16389	−	0.0629681i	−0.0689426	−	0.00372991i
$286$	0.143684	−	0.298362i	0.00849619	−	0.0176425i
$287$	−14.8117	+	9.97708i	−0.874309	+	0.588928i
$288$	−10.9980	+	6.97358i	−0.648062	+	0.410922i
$289$	7.01018	+	3.37592i	0.412363	+	0.198584i
$290$	0.799285	+	3.50190i	0.0469356	+	0.205638i
$291$	−19.5300	+	8.13654i	−1.14487	+	0.476972i
$292$	−5.70972	−	4.55335i	−0.334136	−	0.266465i
$293$	−8.56617			−0.500441			−0.250220	−	0.968189i	$-0.580503\pi$
$293$	−8.56617			−0.500441			−0.250220	+	0.968189i	$0.580503\pi$
$294$	−4.77863	+	1.13865i	−0.278696	+	0.0664073i
$295$	15.9517			0.928741
$296$	−9.94342	−	7.92961i	−0.577950	−	0.460899i
$297$	−9.83646	−	17.5419i	−0.570770	−	1.01789i
$298$	−1.28820	−	5.64399i	−0.0746236	−	0.326947i
$299$	−1.11361	−	0.536288i	−0.0644020	−	0.0310144i
$300$	−4.17849	−	1.19453i	−0.241245	−	0.0689660i
$301$	1.27340	−	15.8010i	0.0733977	−	0.910752i
$302$	4.12281	−	8.56110i	0.237241	−	0.492636i
$303$	0.445168	−	8.22836i	0.0255743	−	0.472707i
$304$	−0.465977	−	0.967611i	−0.0267256	−	0.0554963i
$305$	0.771861	+	0.615539i	0.0441966	+	0.0352456i
$306$	0.398179	−	3.66914i	0.0227624	−	0.209751i
$307$	6.15461	+	4.90814i	0.351262	+	0.280122i	0.783186	−	0.621788i	$-0.213593\pi$
$307$	6.15461	+	4.90814i	0.351262	+	0.280122i	−0.431923	+	0.901910i	$0.642165\pi$
$308$	−10.5028	−	15.5922i	−0.598450	−	0.888445i
$309$	27.6972	+	1.49846i	1.57564	+	0.0852446i
$310$	−3.84877	+	1.85347i	−0.218596	+	0.105270i
$311$	3.17425	−	13.9073i	0.179995	−	0.788610i	−0.801635	−	0.597814i	$-0.796036\pi$
$311$	3.17425	−	13.9073i	0.179995	−	0.788610i	0.981630	−	0.190796i	$-0.0611068\pi$
$312$	−0.424634	−	0.377913i	−0.0240402	−	0.0213951i
$313$			19.7259i			1.11497i	0.830187	+	0.557486i	$0.188234\pi$
$313$			19.7259i			1.11497i	−0.830187	+	0.557486i	$0.811766\pi$
$314$	−0.115980	+	0.508141i	−0.00654512	+	0.0286761i
$315$	−2.83523	+	14.8613i	−0.159747	+	0.837338i
$316$	1.35511	+	5.93713i	0.0762310	+	0.333990i
$317$	−3.78152	+	0.863106i	−0.212391	+	0.0484769i	−0.327392	−	0.944888i	$-0.606170\pi$
$317$	−3.78152	+	0.863106i	−0.212391	+	0.0484769i	0.115001	+	0.993365i	$0.463313\pi$
$318$	−0.295834	+	5.46811i	−0.0165896	+	0.306637i
$319$	−11.2238	−	14.0742i	−0.628410	−	0.788002i
$320$	1.83452	+	8.03757i	0.102553	+	0.449314i
$321$	−13.4635	−	7.40503i	−0.751461	−	0.413308i
$322$	5.20399	−	3.50537i	0.290007	−	0.195347i
$323$	1.04510	+	0.238537i	0.0581507	+	0.0132725i
$324$	−16.0776	+	3.80863i	−0.893199	+	0.211591i
$325$		−	0.288613i		−	0.0160093i
$326$	1.35554	+	0.309394i	0.0750767	+	0.0171358i
$327$	−20.4105	−	5.83486i	−1.12870	−	0.322668i
$328$	8.20179	−	6.54071i	0.452868	−	0.361150i
$329$	10.5321	+	27.2849i	0.580651	+	1.50426i
$330$	5.10245	−	0.877711i	0.280880	−	0.0483164i
$331$	−0.624576	+	2.73644i	−0.0343298	+	0.150409i	−0.989188	−	0.146654i	$-0.953150\pi$
$331$	−0.624576	+	2.73644i	−0.0343298	+	0.150409i	0.954858	+	0.297062i	$0.0960069\pi$
$332$	17.4874	−	21.9285i	0.959746	−	1.20348i
$333$	−13.1464	−	20.7331i	−0.720418	−	1.13617i
$334$	−4.07049	+	3.24611i	−0.222727	+	0.177619i
$335$	16.7302	+	8.05684i	0.914069	+	0.440192i
$336$	−13.2571	+	4.31003i	−0.723232	+	0.235132i
$337$	−12.5304	+	6.03434i	−0.682576	+	0.328711i	−0.742838	−	0.669471i	$-0.766521\pi$
$337$	−12.5304	+	6.03434i	−0.682576	+	0.328711i	0.0602619	+	0.998183i	$0.480806\pi$
$338$	−2.27751	+	4.72931i	−0.123880	+	0.257240i
$339$	−13.2167	−	7.26925i	−0.717831	−	0.394812i
$340$	−9.57286	−	4.61005i	−0.519161	−	0.250015i
$341$	13.3481	−	16.7380i	0.722842	−	0.906415i
$342$	0.0497965	+	0.426235i	0.00269269	+	0.0230482i
$343$	−18.5176	−	0.312045i	−0.999858	−	0.0168489i
$344$			9.31187i			0.502063i
$345$	−3.27599	−	19.0445i	−0.176373	−	1.02532i
$346$	0.278351	−	0.578002i	0.0149643	−	0.0310736i
$347$	−19.6939	+	4.49500i	−1.05722	+	0.241304i	−0.715584	−	0.698527i	$-0.753839\pi$
$347$	−19.6939	+	4.49500i	−1.05722	+	0.241304i	−0.341639	+	0.939831i	$0.610982\pi$
$348$	−13.6517	+	5.68753i	−0.731805	+	0.304884i
$349$	5.97214	+	12.4013i	0.319681	+	0.663825i	0.997444	−	0.0714559i	$-0.0227645\pi$
$349$	5.97214	+	12.4013i	0.319681	+	0.663825i	−0.677762	+	0.735281i	$0.737050\pi$
$350$	1.26468	+	0.739667i	0.0676001	+	0.0395368i
$351$	−0.536670	−	0.957075i	−0.0286453	−	0.0510849i
$352$	10.4753	+	13.1357i	0.558337	+	0.700133i
$353$	−2.48078	+	1.19468i	−0.132039	+	0.0635865i	−0.498737	−	0.866754i	$-0.666203\pi$
$353$	−2.48078	+	1.19468i	−0.132039	+	0.0635865i	0.366698	+	0.930340i	$0.380488\pi$
$354$	−0.995623	−	5.78791i	−0.0529168	−	0.307624i
$355$	22.8833	+	5.22296i	1.21452	+	0.277206i
$356$	−2.24819	+	2.81914i	−0.119154	+	0.149414i
$357$	4.88683	−	13.0278i	0.258638	−	0.689505i
$358$	0.374870	+	0.470072i	0.0198125	+	0.0248441i
$359$	−5.53696	−	11.4976i	−0.292230	−	0.606821i	0.702229	−	0.711951i	$-0.252188\pi$
$359$	−5.53696	−	11.4976i	−0.292230	−	0.606821i	−0.994458	+	0.105130i	$0.966474\pi$
$360$	0.958823	−	8.83537i	0.0505344	−	0.465665i
$361$	18.8754			0.993440
$362$	−4.24560			−0.223144
$363$	−5.61474	+	4.00120i	−0.294697	+	0.210009i
$364$	−0.573023	−	0.850696i	−0.0300346	−	0.0445886i
$365$	7.39246	−	1.68728i	0.386939	−	0.0883163i
$366$	0.175167	−	0.318482i	0.00915612	−	0.0166473i
$367$	−26.3096	+	20.9812i	−1.37335	+	1.09521i	−0.388564	+	0.921422i	$0.627029\pi$
$367$	−26.3096	+	20.9812i	−1.37335	+	1.09521i	−0.984783	+	0.173787i	$0.944400\pi$
$368$	13.9207	−	11.1014i	0.725667	−	0.578700i
$369$	19.0858	−	6.76641i	0.993568	−	0.352245i
$370$	6.16146	−	1.40631i	0.320319	−	0.0731108i
$371$	−6.19605	+	19.6937i	−0.321683	+	1.02245i
$372$	−10.2072	−	14.3234i	−0.529218	−	0.742632i
$373$	−13.4329			−0.695527			−0.347763	−	0.937582i	$-0.613059\pi$
$373$	−13.4329			−0.695527			−0.347763	+	0.937582i	$0.613059\pi$
$374$	−4.76156			−0.246215
$375$	17.1178	−	12.1986i	0.883961	−	0.629934i
$376$	−7.45423	−	15.4789i	−0.384423	−	0.798262i
$377$	−0.612360	−	0.767876i	−0.0315382	−	0.0395476i
$378$	5.56924	+	0.101170i	0.286451	+	0.00520363i
$379$	−11.7837	+	14.7763i	−0.605290	+	0.759009i	−0.986192	−	0.165606i	$-0.947042\pi$
$379$	−11.7837	+	14.7763i	−0.605290	+	0.759009i	0.380902	+	0.924615i	$0.375613\pi$
$380$	1.20446	+	0.274909i	0.0617873	+	0.0141025i
$381$	−25.5471	+	4.39456i	−1.30882	+	0.225140i
$382$	0.979858	−	0.471875i	0.0501339	−	0.0241432i
$383$	3.13058	+	3.92563i	0.159965	+	0.200590i	0.855354	−	0.518043i	$-0.173339\pi$
$383$	3.13058	+	3.92563i	0.159965	+	0.200590i	−0.695389	+	0.718633i	$0.744768\pi$
$384$	16.6825	−	6.95024i	0.851326	−	0.354678i
$385$	19.4561	+	1.56797i	0.991576	+	0.0799113i
$386$	−2.21488	−	4.59924i	−0.112734	−	0.234095i
$387$	−5.86702	+	16.9902i	−0.298238	+	0.863661i
$388$	21.8626	−	4.99000i	1.10991	−	0.253329i
$389$	−0.644489	+	1.33829i	−0.0326769	+	0.0678542i	−0.916668	−	0.399649i	$-0.869132\pi$
$389$	−0.644489	+	1.33829i	−0.0326769	+	0.0678542i	0.883991	+	0.467503i	$0.154846\pi$
$390$	0.278386	−	0.0478872i	0.0140966	−	0.00242487i
$391$			17.7722i			0.898779i
$392$	10.8572	−	0.691086i	0.548370	−	0.0349051i
$393$	22.9237	+	20.4015i	1.15635	+	1.02912i
$394$	−0.422593	+	0.529915i	−0.0212900	+	0.0266968i
$395$	−5.69677	−	2.74342i	−0.286636	−	0.138036i
$396$	7.12293	+	20.0914i	0.357940	+	1.00963i
$397$	−6.56671	+	13.6359i	−0.329574	+	0.684367i	−0.998247	−	0.0591896i	$-0.981148\pi$
$397$	−6.56671	+	13.6359i	−0.329574	+	0.684367i	0.668673	+	0.743557i	$0.266863\pi$
$398$	−2.94879	+	1.42006i	−0.147809	+	0.0711812i
$399$	−0.216893	+	1.60327i	−0.0108582	+	0.0802639i
$400$	3.74583	+	1.80390i	0.187291	+	0.0901948i
$401$	12.7734	−	10.1865i	0.637875	−	0.508689i	−0.250315	−	0.968164i	$-0.580534\pi$
$401$	12.7734	−	10.1865i	0.637875	−	0.508689i	0.888190	+	0.459476i	$0.151963\pi$
$402$	1.87914	−	6.57327i	0.0937228	−	0.327845i
$403$	0.728264	−	0.913215i	0.0362774	−	0.0454905i
$404$	−1.94354	+	8.51519i	−0.0966946	+	0.423647i
$405$	7.31624	−	15.5167i	0.363547	−	0.771030i
$406$	4.93416	−	0.715386i	0.244878	−	0.0355040i
$407$	−24.7630	+	19.7478i	−1.22746	+	0.978863i
$408$	−2.24659	+	7.85865i	−0.111223	+	0.389061i
$409$	−1.27586	−	0.291207i	−0.0630873	−	0.0143993i	0.190861	−	0.981617i	$-0.438872\pi$
$409$	−1.27586	−	0.291207i	−0.0630873	−	0.0143993i	−0.253948	+	0.967218i	$0.581729\pi$
$410$			5.21296i			0.257450i
$411$	18.4095	−	20.6855i	0.908076	−	1.02034i
$412$	−28.6626	−	6.54206i	−1.41211	−	0.322304i
$413$	1.77862	−	22.0699i	0.0875200	−	1.08599i
$414$	−6.70566	+	2.37733i	−0.329565	+	0.116839i
$415$	6.48009	+	28.3912i	0.318095	+	1.39367i
$416$	0.571526	+	0.716672i	0.0280214	+	0.0351377i
$417$	24.5638	+	1.32894i	1.20289	+	0.0650785i
$418$	0.539770	−	0.123199i	0.0264010	−	0.00602586i
$419$	0.983331	+	4.30826i	0.0480389	+	0.210472i	0.993251	−	0.115985i	$-0.0370024\pi$
$419$	0.983331	+	4.30826i	0.0480389	+	0.210472i	−0.945212	+	0.326457i	$0.894145\pi$
$420$	5.63199	−	15.0143i	0.274813	−	0.732624i
$421$	2.48831	−	10.9020i	0.121273	−	0.531330i	−0.877397	−	0.479765i	$-0.840722\pi$
$421$	2.48831	−	10.9020i	0.121273	−	0.531330i	0.998670	−	0.0515651i	$-0.0164210\pi$
$422$			2.44175i			0.118863i
$423$	−3.84822	−	32.9390i	−0.187107	−	1.60155i
$424$	2.69863	−	11.8235i	0.131057	−	0.574198i
$425$	−3.73888	+	1.80055i	−0.181362	+	0.0873394i
$426$	0.466842	−	8.62898i	0.0226186	−	0.418075i
$427$	0.937690	−	0.999274i	0.0453780	−	0.0483583i
$428$	12.7332	+	10.1543i	0.615480	+	0.490829i
$429$	−1.15287	+	0.821565i	−0.0556611	+	0.0396655i
$430$	−3.61775	−	2.88506i	−0.174464	−	0.139130i
$431$	6.54532	+	13.5915i	0.315277	+	0.654679i	0.997039	−	0.0768946i	$-0.0245005\pi$
$431$	6.54532	+	13.5915i	0.315277	+	0.654679i	−0.681762	+	0.731574i	$0.738786\pi$
$432$	15.7759	−	0.983363i	0.759021	−	0.0473121i
$433$	9.52045	−	19.7694i	0.457524	−	0.950058i	−0.536805	−	0.843706i	$-0.680369\pi$
$433$	9.52045	−	19.7694i	0.457524	−	0.950058i	0.994329	−	0.106351i	$-0.0339168\pi$
$434$	2.13523	+	5.53163i	0.102494	+	0.265527i
$435$	4.22059	−	14.7637i	0.202362	−	0.707867i
$436$	20.2720	+	9.76246i	0.970851	+	0.467537i
$437$	−0.459831	−	2.01465i	−0.0219967	−	0.0963739i
$438$	−1.07361	−	2.57697i	−0.0512993	−	0.123133i
$439$	3.75603	+	2.99533i	0.179265	+	0.142959i	0.709012	−	0.705197i	$-0.249141\pi$
$439$	3.75603	+	2.99533i	0.179265	+	0.142959i	−0.529746	+	0.848156i	$0.677713\pi$
$440$	−11.4660			−0.546618
$441$	20.2452	+	5.57972i	0.964056	+	0.265701i
$442$	−0.259787			−0.0123568
$443$	−19.4667	−	15.5242i	−0.924892	−	0.737577i	0.0402810	−	0.999188i	$-0.487175\pi$
$443$	−19.4667	−	15.5242i	−0.924892	−	0.737577i	−0.965173	+	0.261611i	$0.915746\pi$
$444$	10.0070	+	24.0196i	0.474912	+	1.13992i
$445$	−0.833085	−	3.64998i	−0.0394920	−	0.173026i
$446$	−2.91762	−	1.40505i	−0.138154	−	0.0665312i
$447$	−6.80230	+	23.7946i	−0.321738	+	1.12545i
$448$	11.3249	−	1.64196i	0.535052	−	0.0775753i
$449$	−4.56042	+	9.46981i	−0.215220	+	0.446908i	−0.980429	−	0.196873i	$-0.936921\pi$
$449$	−4.56042	+	9.46981i	−0.215220	+	0.446908i	0.765209	+	0.643782i	$0.222635\pi$
$450$	−1.17950	−	1.16987i	−0.0556024	−	0.0551481i
$451$	−11.3354	−	23.5382i	−0.533762	−	1.10837i
$452$	12.4997	+	9.96816i	0.587936	+	0.468863i
$453$	−33.0801	+	23.5737i	−1.55424	+	1.10759i
$454$	−2.81807	−	2.24734i	−0.132259	−	0.105473i
$455$	1.06151	+	0.0855474i	0.0497644	+	0.00401053i
$456$	0.0513416	−	0.948983i	0.00240429	−	0.0444402i
$457$	2.31080	−	1.11282i	0.108095	−	0.0520558i	−0.379055	−	0.925374i	$-0.623751\pi$
$457$	2.31080	−	1.11282i	0.108095	−	0.0520558i	0.487150	+	0.873318i	$0.338037\pi$
$458$	−1.94493	+	8.52129i	−0.0908805	+	0.398174i
$459$	−9.05049	+	12.9232i	−0.422441	+	0.603204i
$460$			20.4821i			0.954985i
$461$	8.07905	−	35.3966i	0.376279	−	1.64859i	−0.332462	−	0.943117i	$-0.607879\pi$
$461$	8.07905	−	35.3966i	0.376279	−	1.64859i	0.708741	−	0.705469i	$-0.249263\pi$
$462$	−0.645430	−	7.15735i	−0.0300281	−	0.332990i
$463$	0.774970	+	3.39537i	0.0360159	+	0.157796i	0.989738	−	0.142893i	$-0.0456405\pi$
$463$	0.774970	+	3.39537i	0.0360159	+	0.157796i	−0.953722	+	0.300689i	$0.902783\pi$
$464$	13.7935	−	3.14827i	0.640345	−	0.146155i
$465$	18.2348	+	0.986535i	0.845620	+	0.0457495i
$466$	−5.40220	−	6.77415i	−0.250252	−	0.313806i
$467$	1.20425	+	5.27616i	0.0557259	+	0.244151i	0.995118	−	0.0986939i	$-0.0314665\pi$
$467$	1.20425	+	5.27616i	0.0557259	+	0.244151i	−0.939392	+	0.342845i	$0.888609\pi$
$468$	0.388622	+	1.09617i	0.0179640	+	0.0506706i
$469$	13.0125	−	22.2487i	0.600859	−	1.02735i
$470$	8.32321	+	1.89972i	0.383921	+	0.0876274i
$471$	1.48128	−	1.66441i	0.0682538	−	0.0766920i
$472$			13.0063i			0.598663i
$473$	22.6088	+	5.16030i	1.03955	+	0.237271i
$474$	−0.639861	+	2.23825i	−0.0293898	+	0.102806i
$475$	0.377251	−	0.300848i	0.0173095	−	0.0138039i
$476$	−7.44560	+	12.7305i	−0.341268	+	0.583501i
$477$	12.3733	−	19.8725i	0.566535	−	0.909899i
$478$	−2.01334	+	8.82103i	−0.0920882	+	0.403465i
$479$	3.39706	−	4.25978i	0.155216	−	0.194634i	−0.698143	−	0.715958i	$-0.745990\pi$
$479$	3.39706	−	4.25978i	0.155216	−	0.194634i	0.853359	+	0.521324i	$0.174562\pi$
$480$	−3.93914	+	13.7792i	−0.179797	+	0.628934i
$481$	−1.35105	+	1.07743i	−0.0616026	+	0.0491264i
$482$	−2.38223	−	1.14722i	−0.108507	−	0.0522544i
$483$	−26.7143	+	2.40902i	−1.21554	+	0.109614i
$484$	6.58400	−	3.17069i	0.299273	−	0.144122i
$485$	−10.1022	+	20.9775i	−0.458719	+	0.952540i
$486$	−6.08673	−	1.68616i	−0.276100	−	0.0764857i
$487$	5.74572	+	2.76699i	0.260363	+	0.125384i	0.559512	−	0.828822i	$-0.310988\pi$
$487$	5.74572	+	2.76699i	0.260363	+	0.125384i	−0.299149	+	0.954206i	$0.596703\pi$
$488$	−0.501884	+	0.629343i	−0.0227192	+	0.0284890i
$489$	−4.44007	−	3.95154i	−0.200787	−	0.178695i
$490$	−3.09534	+	4.43224i	−0.139833	+	0.200228i
$491$			11.9341i			0.538578i	0.963059	+	0.269289i	$0.0867886\pi$
$491$			11.9341i			0.538578i	−0.963059	+	0.269289i	$0.913211\pi$
$492$	−21.1525	+	3.63860i	−0.953627	+	0.164041i
$493$	−6.12727	+	12.7234i	−0.275958	+	0.573034i
$494$	0.0294495	−	0.00672165i	0.00132499	−	0.000302421i
$495$	−20.9205	−	7.22422i	−0.940306	−	0.324704i
$496$	7.30056	+	15.1598i	0.327805	+	0.680694i
$497$	9.77771	−	31.0778i	0.438590	−	1.39403i
$498$	9.89702	−	4.12328i	0.443496	−	0.184769i
$499$	−6.15979	−	7.72413i	−0.275750	−	0.345779i	0.624601	−	0.780944i	$-0.285262\pi$
$499$	−6.15979	−	7.72413i	−0.275750	−	0.345779i	−0.900351	+	0.435165i	$0.856690\pi$
$500$	−20.0729	+	9.66658i	−0.897686	+	0.432303i
$501$	21.9344	−	3.77310i	0.979956	−	0.168570i
$502$	12.1177	+	2.76579i	0.540841	+	0.123443i
$503$	25.5401	−	32.0263i	1.13878	−	1.42798i	0.250833	−	0.968030i	$-0.419296\pi$
$503$	25.5401	−	32.0263i	1.13878	−	1.42798i	0.887944	−	0.459951i	$-0.152133\pi$
$504$	−12.1173	−	2.31173i	−0.539745	−	0.102972i
$505$	−5.65413	−	7.09005i	−0.251605	−	0.315503i
$506$	3.98260	+	8.26995i	0.177048	+	0.367644i
$507$	18.2740	−	13.0226i	0.811579	−	0.578352i
$508$	27.4757			1.21904
$509$	−16.5370			−0.732989			−0.366494	−	0.930420i	$-0.619442\pi$
$509$	−16.5370			−0.732989			−0.366494	+	0.930420i	$0.619442\pi$
$510$	−2.35711	−	3.30764i	−0.104375	−	0.146465i
$511$	−1.51017	−	10.4160i	−0.0668061	−	0.460775i
$512$	−22.0921	+	5.04237i	−0.976340	+	0.222843i
$513$	0.691591	−	1.69914i	0.0305345	−	0.0750190i
$514$	2.96740	−	2.36643i	0.130887	−	0.104379i
$515$	23.8655	−	19.0321i	1.05164	−	0.838656i
$516$	9.18148	−	16.6934i	0.404192	−	0.734886i
$517$	−41.7128	+	9.52067i	−1.83453	+	0.418719i
$518$	−1.25870	−	8.68149i	−0.0553040	−	0.381443i
$519$	−2.23340	+	1.59158i	−0.0980354	+	0.0698626i
$520$	−0.625574			−0.0274332
$521$	23.8040			1.04287			0.521436	−	0.853290i	$-0.325396\pi$
$521$	23.8040			1.04287			0.521436	+	0.853290i	$0.325396\pi$
$522$	−5.62032	−	0.609922i	−0.245995	−	0.0266956i
$523$	15.4134	+	32.0064i	0.673983	+	1.39954i	0.904501	+	0.426472i	$0.140244\pi$
$523$	15.4134	+	32.0064i	0.673983	+	1.39954i	−0.230518	+	0.973068i	$0.574042\pi$
$524$	−20.2798	−	25.4301i	−0.885927	−	1.11092i
$525$	−3.21330	−	5.37603i	−0.140240	−	0.234629i
$526$	1.82562	−	2.28926i	0.0796009	−	0.0998164i
$527$	−16.3738	−	3.73720i	−0.713252	−	0.162795i
$528$	−3.45717	−	20.0978i	−0.150454	−	0.874644i
$529$	10.1447	−	4.88544i	0.441075	−	0.212410i
$530$	3.75742	+	4.71166i	0.163212	+	0.204661i
$531$	−8.19473	+	23.7310i	−0.355621	+	1.02984i
$532$	0.514648	−	1.63577i	0.0223128	−	0.0709197i
$533$	−0.618450	−	1.28422i	−0.0267880	−	0.0556259i
$534$	−1.27237	+	0.530091i	−0.0550607	+	0.0229393i
$535$	−16.4858	+	3.76277i	−0.712743	+	0.162679i
$536$	−6.56921	+	13.6411i	−0.283747	+	0.589206i
$537$	−0.435729	−	2.53305i	−0.0188031	−	0.109309i
$538$			0.392676i			0.0169294i
$539$	4.33873	−	26.7437i	0.186882	−	1.15193i
$540$	−10.4305	+	14.8938i	−0.448859	+	0.640926i
$541$	7.54409	−	9.45999i	0.324346	−	0.406717i	−0.592748	−	0.805388i	$-0.701957\pi$
$541$	7.54409	−	9.45999i	0.324346	−	0.406717i	0.917094	+	0.398671i	$0.130528\pi$
$542$	1.40637	+	0.677274i	0.0604089	+	0.0290914i
$543$	15.9028	+	8.74663i	0.682454	+	0.375354i
$544$	5.71869	−	11.8750i	0.245187	−	0.509135i
$545$	−21.0480	+	10.1362i	−0.901596	+	0.434186i
$546$	−0.0352142	−	0.390499i	−0.00150703	−	0.0167118i
$547$	−10.6162	−	5.11250i	−0.453916	−	0.218595i	0.192934	−	0.981212i	$-0.438200\pi$
$547$	−10.6162	−	5.11250i	−0.453916	−	0.218595i	−0.646850	+	0.762617i	$0.723914\pi$
$548$	−22.9471	+	18.2997i	−0.980253	+	0.781726i
$549$	−1.31225	+	0.832067i	−0.0560054	+	0.0355118i
$550$	−1.33633	+	1.67570i	−0.0569812	+	0.0714522i
$551$	0.365385	−	1.60086i	0.0155659	−	0.0681988i
$552$	15.5281	−	2.67110i	0.660919	−	0.113690i
$553$	−4.43085	+	7.57587i	−0.188419	+	0.322159i
$554$	3.11830	−	2.48676i	0.132484	−	0.105652i
$555$	−25.9763	−	7.42597i	−1.10263	−	0.315215i
$556$	−25.4200	−	5.80195i	−1.07805	−	0.246058i
$557$			15.2735i			0.647159i	0.946201	+	0.323579i	$0.104886\pi$
$557$			15.2735i			0.647159i	−0.946201	+	0.323579i	$0.895114\pi$
$558$	−0.780173	−	6.67792i	−0.0330274	−	0.282699i
$559$	1.23352	+	0.281542i	0.0521722	+	0.0119080i
$560$	−7.74500	+	13.2424i	−0.327286	+	0.559594i
$561$	17.8354	+	9.80960i	0.753012	+	0.414161i
$562$	−1.07580	−	4.71341i	−0.0453801	−	0.198823i
$563$	−2.00755	−	2.51739i	−0.0846083	−	0.106095i	0.737726	−	0.675101i	$-0.235900\pi$
$563$	−2.00755	−	2.51739i	−0.0846083	−	0.106095i	−0.822334	+	0.569005i	$0.807328\pi$
$564$	−1.89891	+	35.0988i	−0.0799584	+	1.47793i
$565$	−16.1835	+	3.69378i	−0.680846	+	0.155399i
$566$	−2.09614	−	9.18380i	−0.0881075	−	0.386024i
$567$	−20.6523	−	11.8525i	−0.867316	−	0.497758i
$568$	−4.25858	+	18.6580i	−0.178686	+	0.782874i
$569$			29.5571i			1.23910i	0.784958	+	0.619549i	$0.212685\pi$
$569$			29.5571i			1.23910i	−0.784958	+	0.619549i	$0.787315\pi$
$570$	0.352782	+	0.313966i	0.0147764	+	0.0131506i
$571$	2.06340	−	9.04036i	0.0863507	−	0.378327i	−0.913225	−	0.407456i	$-0.866416\pi$
$571$	2.06340	−	9.04036i	0.0863507	−	0.378327i	0.999576	+	0.0291285i	$0.00927321\pi$
$572$	1.35189	−	0.651035i	0.0565253	−	0.0272212i
$573$	−4.64240	−	0.251162i	−0.193939	−	0.0104924i
$574$	7.21238	+	0.581247i	0.301039	+	0.0242608i
$575$	6.25443	+	4.98774i	0.260828	+	0.208003i
$576$	−12.8998	−	1.39990i	−0.537491	−	0.0583290i
$577$	11.6568	+	9.29596i	0.485278	+	0.386996i	0.835343	−	0.549729i	$-0.185269\pi$
$577$	11.6568	+	9.29596i	0.485278	+	0.386996i	−0.350065	+	0.936725i	$0.613841\pi$
$578$	−1.36782	−	2.84031i	−0.0568939	−	0.118141i
$579$	−1.17890	+	21.7904i	−0.0489934	+	0.905579i
$580$	−7.06157	+	14.6635i	−0.293216	+	0.608869i
$581$	40.0031	−	5.79990i	1.65961	−	0.240620i
$582$	8.24203	+	2.35619i	0.341643	+	0.0976674i
$583$	−27.2113	−	13.1043i	−1.12698	−	0.542723i
$584$	1.37574	+	6.02749i	0.0569284	+	0.249419i
$585$	−1.14141	−	0.394148i	−0.0471914	−	0.0162960i
$586$	2.71354	+	2.16398i	0.112095	+	0.0893931i
$587$	−1.64556			−0.0679195			−0.0339598	−	0.999423i	$-0.510812\pi$
$587$	−1.64556			−0.0679195			−0.0339598	+	0.999423i	$0.510812\pi$
$588$	−20.1451	−	9.46623i	−0.830769	−	0.390381i
$589$	1.95282			0.0804646
$590$	−5.05307	−	4.02969i	−0.208032	−	0.165900i
$591$	2.67462	−	1.11430i	0.110019	−	0.0458361i
$592$	−5.53927	−	24.2691i	−0.227662	−	0.997454i
$593$	−34.2891	−	16.5128i	−1.40809	−	0.678098i	−0.433301	−	0.901249i	$-0.642651\pi$
$593$	−34.2891	−	16.5128i	−1.40809	−	0.678098i	−0.974784	+	0.223151i	$0.928366\pi$
$594$	−1.31549	+	8.04171i	−0.0539751	+	0.329955i
$595$	−5.51414	−	14.2852i	−0.226058	−	0.585637i
$596$	11.3811	−	23.6331i	0.466188	−	0.968050i
$597$	13.9708	+	0.755846i	0.571789	+	0.0309347i
$598$	0.217288	+	0.451203i	0.00888556	+	0.0184510i
$599$	−5.64813	−	4.50423i	−0.230776	−	0.184038i	0.501274	−	0.865289i	$-0.332865\pi$
$599$	−5.64813	−	4.50423i	−0.230776	−	0.184038i	−0.732050	+	0.681251i	$0.761436\pi$
$600$	2.13513	+	2.99615i	0.0871664	+	0.122317i
$601$	−13.0946	−	10.4426i	−0.534139	−	0.425962i	0.318915	−	0.947783i	$-0.396681\pi$
$601$	−13.0946	−	10.4426i	−0.534139	−	0.425962i	−0.853055	+	0.521821i	$0.825253\pi$
$602$	−4.39500	+	4.68365i	−0.179127	+	0.190891i
$603$	−20.5807	+	20.7502i	−0.838111	+	0.845015i
$604$	38.7906	−	18.6806i	1.57837	−	0.760103i
$605$	−1.68836	+	7.39719i	−0.0686416	+	0.300739i
$606$	−2.21966	+	2.49408i	−0.0901675	+	0.101315i
$607$			31.6148i			1.28320i	0.767038	+	0.641602i	$0.221730\pi$
$607$			31.6148i			1.28320i	−0.767038	+	0.641602i	$0.778270\pi$
$608$	−0.341020	+	1.49411i	−0.0138302	+	0.0605941i
$609$	−19.9557	−	7.48555i	−0.808647	−	0.303330i
$610$	−0.0890089	−	0.389974i	−0.00360387	−	0.0157896i
$611$	−2.27582	+	0.519441i	−0.0920698	+	0.0210143i
$612$	11.7761	−	11.8731i	0.476020	−	0.479941i
$613$	−26.7586	−	33.5542i	−1.08077	−	1.35524i	−0.930373	−	0.366615i	$-0.880517\pi$
$613$	−26.7586	−	33.5542i	−1.08077	−	1.35524i	−0.150395	−	0.988626i	$-0.548055\pi$
$614$	−0.709733	−	3.10954i	−0.0286425	−	0.125491i
$615$	10.7395	−	19.5262i	0.433060	−	0.787373i
$616$	−1.27846	+	15.8637i	−0.0515106	+	0.639167i
$617$	4.46241	+	1.01852i	0.179650	+	0.0410039i	0.311399	−	0.950279i	$-0.399202\pi$
$617$	4.46241	+	1.01852i	0.179650	+	0.0410039i	−0.131750	+	0.991283i	$0.542059\pi$
$618$	−8.39521	−	7.47151i	−0.337705	−	0.300548i
$619$			8.96231i			0.360226i	0.983646	+	0.180113i	$0.0576463\pi$
$619$			8.96231i			0.360226i	−0.983646	+	0.180113i	$0.942354\pi$
$620$	−18.8705	−	4.30706i	−0.757856	−	0.172976i
$621$	30.0151	+	4.90996i	1.20446	+	0.197030i
$622$	−4.51876	+	3.60359i	−0.181186	+	0.144491i
$623$	−5.14282	+	0.745638i	−0.206043	+	0.0298734i
$624$	−0.188621	−	1.09652i	−0.00755088	−	0.0438960i
$625$	3.62674	−	15.8898i	0.145069	−	0.635591i
$626$	4.98313	−	6.24864i	0.199166	−	0.249746i
$627$	−2.27563	−	0.650546i	−0.0908799	−	0.0259803i
$628$	−1.84639	+	1.47244i	−0.0736788	+	0.0587569i
$629$	22.3864	+	10.7807i	0.892604	+	0.429855i
$630$	4.65237	−	3.99144i	0.185355	−	0.159023i
$631$	−23.4826	+	11.3086i	−0.934826	+	0.450188i	−0.838341	−	0.545146i	$-0.816474\pi$
$631$	−23.4826	+	11.3086i	−0.934826	+	0.450188i	−0.0964847	+	0.995334i	$0.530760\pi$
$632$	2.23687	−	4.64490i	0.0889778	−	0.184764i
$633$	5.03040	−	9.14609i	0.199941	−	0.363524i
$634$	1.41592	+	0.681873i	0.0562335	+	0.0270806i
$635$	−17.7866	+	22.3037i	−0.705839	+	0.885093i
$636$	−16.4957	+	18.5351i	−0.654098	+	0.734964i
$637$	0.236718	−	1.45911i	0.00937911	−	0.0578122i
$638$			7.29367i			0.288759i
$639$	−19.5258	+	31.3599i	−0.772427	+	1.24058i
$640$	8.62935	−	17.9190i	0.341105	−	0.708312i
$641$	−22.7474	+	5.19195i	−0.898470	+	0.205070i	−0.646724	−	0.762724i	$-0.723862\pi$
$641$	−22.7474	+	5.19195i	−0.898470	+	0.205070i	−0.251745	+	0.967794i	$0.581004\pi$
$642$	2.39425	+	5.74687i	0.0944935	+	0.226811i
$643$	−17.0898	−	35.4873i	−0.673956	−	1.39948i	−0.904522	−	0.426427i	$-0.859772\pi$
$643$	−17.0898	−	35.4873i	−0.673956	−	1.39948i	0.230566	−	0.973057i	$-0.425942\pi$
$644$	28.3380	+	2.28377i	1.11668	+	0.0899931i
$645$	7.60735	+	18.2598i	0.299539	+	0.718977i
$646$	−0.270801	−	0.339574i	−0.0106545	−	0.0133603i
$647$	25.5365	−	12.2977i	1.00394	−	0.483473i	0.141668	−	0.989914i	$-0.454753\pi$
$647$	25.5365	−	12.2977i	1.00394	−	0.483473i	0.862275	+	0.506441i	$0.169039\pi$
$648$	12.6516	+	5.96535i	0.497004	+	0.234341i
$649$	31.5786	+	7.20762i	1.23957	+	0.282924i
$650$	−0.0729090	+	0.0914250i	−0.00285973	+	0.00358599i
$651$	3.39811	−	25.1188i	0.133182	−	0.984483i
$652$	3.92797	+	4.92552i	0.153831	+	0.192898i
$653$	−18.8742	−	39.1928i	−0.738606	−	1.53373i	−0.842232	−	0.539115i	$-0.818759\pi$
$653$	−18.8742	−	39.1928i	−0.738606	−	1.53373i	0.103626	−	0.994616i	$-0.466956\pi$
$654$	4.99153	+	7.00442i	0.195184	+	0.273894i
$655$	33.7714			1.31956
$656$	20.5331			0.801682
$657$	−1.28754	+	11.8644i	−0.0502316	+	0.462875i
$658$	3.55639	−	11.3037i	0.138643	−	0.440666i
$659$	1.61341	−	0.368250i	0.0628495	−	0.0143450i	−0.190981	−	0.981594i	$-0.561167\pi$
$659$	1.61341	−	0.368250i	0.0628495	−	0.0143450i	0.253830	+	0.967249i	$0.418310\pi$
$660$	20.5550	+	11.3054i	0.800103	+	0.440062i
$661$	−26.1652	+	20.8661i	−1.01771	+	0.811596i	−0.982212	−	0.187774i	$-0.939873\pi$
$661$	−26.1652	+	20.8661i	−1.01771	+	0.811596i	−0.0354965	+	0.999370i	$0.511301\pi$
$662$	0.889127	−	0.709055i	0.0345569	−	0.0275582i
$663$	0.973088	+	0.535204i	0.0377916	+	0.0207856i
$664$	−23.1489	+	5.28359i	−0.898353	+	0.205043i
$665$	0.994693	+	1.47670i	0.0385725	+	0.0572639i
$666$	−1.07314	+	9.88875i	−0.0415832	+	0.383181i
$667$	27.2231			1.05408
$668$	−23.5902			−0.912731
$669$	8.03393	+	11.2737i	0.310610	+	0.435866i
$670$	−3.26439	−	6.77857i	−0.126114	−	0.261879i
$671$	1.24989	+	1.56731i	0.0482513	+	0.0605053i
$672$	18.6250	+	6.98639i	0.718476	+	0.269506i
$673$	25.5243	−	32.0064i	0.983888	−	1.23376i	0.0116097	−	0.999933i	$-0.496304\pi$
$673$	25.5243	−	32.0064i	0.983888	−	1.23376i	0.972279	−	0.233825i	$-0.0751241\pi$
$674$	5.49371	+	1.25390i	0.211610	+	0.0482985i
$675$	2.00796	+	6.81195i	0.0772865	+	0.262192i
$676$	−21.4287	+	10.3195i	−0.824179	+	0.396904i
$677$	−0.416082	−	0.521750i	−0.0159913	−	0.0200525i	0.773772	−	0.633465i	$-0.218368\pi$
$677$	−0.416082	−	0.521750i	−0.0159913	−	0.0200525i	−0.789763	+	0.613412i	$0.789796\pi$
$678$	2.35035	+	5.64150i	0.0902647	+	0.216660i
$679$	27.8970	+	16.3159i	1.07059	+	0.626148i
$680$	3.90273	+	8.10409i	0.149663	+	0.310778i
$681$	5.92580	+	14.2236i	0.227077	+	0.545048i
$682$	−8.45669	+	1.93018i	−0.323823	+	0.0739106i
$683$	10.8783	−	22.5890i	0.416247	−	0.864345i	−0.582428	−	0.812882i	$-0.697897\pi$
$683$	10.8783	−	22.5890i	0.416247	−	0.864345i	0.998675	−	0.0514630i	$-0.0163884\pi$
$684$	−1.02773	+	1.65062i	−0.0392964	+	0.0631130i
$685$		−	30.4740i		−	1.16435i
$686$	5.78708	+	4.77675i	0.220952	+	0.182377i
$687$	24.8404	−	27.9114i	0.947719	−	1.06489i
$688$	−11.3638	+	14.2498i	−0.433242	+	0.543269i
$689$	−1.48463	−	0.714959i	−0.0565598	−	0.0272378i
$690$	−3.77326	+	6.86039i	−0.143645	+	0.261170i
$691$	21.2534	−	44.1331i	0.808517	−	1.67890i	0.0770475	−	0.997027i	$-0.475451\pi$
$691$	21.2534	−	44.1331i	0.808517	−	1.67890i	0.731469	−	0.681875i	$-0.238835\pi$
$692$	2.61895	−	1.26122i	0.0995575	−	0.0479444i
$693$	−12.3277	+	28.1390i	−0.468291	+	1.06891i
$694$	7.37404	+	3.55115i	0.279915	+	0.134800i
$695$	21.1656	−	16.8790i	0.802858	−	0.640258i
$696$	12.0377	+	3.44129i	0.456289	+	0.130442i
$697$	−12.7784	+	16.0236i	−0.484017	+	0.606938i
$698$	1.24098	−	5.43708i	0.0469717	−	0.205797i
$699$	6.27923	+	36.5034i	0.237502	+	1.38068i
$700$	2.39055	+	6.19307i	0.0903542	+	0.234076i
$701$	13.2981	−	10.6049i	0.502262	−	0.400541i	−0.339319	−	0.940671i	$-0.610197\pi$
$701$	13.2981	−	10.6049i	0.502262	−	0.400541i	0.841581	+	0.540131i	$0.181625\pi$
$702$	−0.0717721	+	0.438750i	−0.00270886	+	0.0165595i
$703$	−2.81665	−	0.642883i	−0.106232	−	0.0242468i
$704$			16.7405i			0.630930i
$705$	−27.2626	−	24.2629i	−1.02677	−	0.913795i
$706$	1.08765	+	0.248249i	0.0409342	+	0.00934296i
$707$	−10.4399	+	7.03222i	−0.392632	+	0.264474i
$708$	12.8242	−	23.3164i	0.481962	−	0.876284i
$709$	−0.748096	−	3.27762i	−0.0280953	−	0.123094i	0.958936	−	0.283624i	$-0.0915367\pi$
$709$	−0.748096	−	3.27762i	−0.0280953	−	0.123094i	−0.987031	+	0.160530i	$0.948680\pi$
$710$	−5.92941	−	7.43525i	−0.222527	−	0.279040i
$711$	7.00789	−	7.06562i	0.262817	−	0.264982i
$712$	2.97604	−	0.679262i	0.111532	−	0.0254564i
$713$	7.20427	+	31.5640i	0.269802	+	1.18208i
$714$	−4.83910	+	2.89237i	−0.181099	+	0.108244i
$715$	−0.346670	+	1.51886i	−0.0129647	+	0.0568022i
$716$			2.72426i			0.101810i
$717$	25.7142	−	28.8932i	0.960313	−	1.07904i
$718$	−1.15055	+	5.04089i	−0.0429382	+	0.188124i
$719$	−22.4223	+	10.7980i	−0.836210	+	0.402698i	−0.802440	−	0.596732i	$-0.796465\pi$
$719$	−22.4223	+	10.7980i	−0.836210	+	0.402698i	−0.0337695	+	0.999430i	$0.510751\pi$
$720$	12.2496	−	12.3505i	0.456516	−	0.460276i
$721$	−23.6709	−	35.1412i	−0.881549	−	1.30873i
$722$	−5.97923	−	4.76827i	−0.222524	−	0.177457i
$723$	6.55966	+	9.20492i	0.243957	+	0.342335i
$724$	−15.0401	−	11.9941i	−0.558960	−	0.445756i
$725$	2.75804	+	5.72713i	0.102431	+	0.212700i
$726$	2.78938	+	0.150910i	0.103524	+	0.00560081i
$727$	7.85006	−	16.3008i	0.291143	−	0.604564i	−0.703175	−	0.711017i	$-0.748235\pi$
$727$	7.85006	−	16.3008i	0.291143	−	0.604564i	0.994318	+	0.106453i	$0.0339492\pi$
$728$	−0.0697517	+	0.865512i	−0.00258517	+	0.0320780i
$729$	19.3254	+	18.8555i	0.715754	+	0.698352i
$730$	−2.76798	−	1.33299i	−0.102447	−	0.0493361i
$731$	−4.04818	−	17.7362i	−0.149727	−	0.655998i
$732$	1.52026	−	0.633367i	0.0561904	−	0.0234099i
$733$	5.15875	+	4.11397i	0.190543	+	0.151953i	0.714115	−	0.700029i	$-0.246829\pi$
$733$	5.15875	+	4.11397i	0.190543	+	0.151953i	−0.523572	+	0.851981i	$0.675401\pi$
$734$	13.6344			0.503256
$735$	20.7254	−	10.2249i	0.764467	−	0.377153i
$736$	−25.4078			−0.936543
$737$	29.4795	+	23.5091i	1.08589	+	0.865969i
$738$	−7.75522	−	2.67801i	−0.285474	−	0.0985791i
$739$	−10.1842	−	44.6200i	−0.374633	−	1.64137i	−0.713584	−	0.700570i	$-0.752929\pi$
$739$	−10.1842	−	44.6200i	−0.374633	−	1.64137i	0.338951	−	0.940804i	$-0.389928\pi$
$740$	25.7999	+	12.4246i	0.948424	+	0.456737i
$741$	−0.124157	−	0.0354933i	−0.00456101	−	0.00130388i
$742$	6.93776	−	4.67322i	0.254693	−	0.171559i
$743$	−10.6827	+	22.1829i	−0.391912	+	0.813813i	0.607892	+	0.794019i	$0.292015\pi$
$743$	−10.6827	+	22.1829i	−0.391912	+	0.813813i	−0.999804	+	0.0197937i	$0.993699\pi$
$744$	−0.804379	+	14.8679i	−0.0294900	+	0.545084i
$745$	11.8168	+	24.5378i	0.432933	+	0.898995i
$746$	4.25518	+	3.39339i	0.155793	+	0.124241i
$747$	−45.5660	−	4.94486i	−1.66717	−	0.180923i
$748$	−16.8679	−	13.4517i	−0.616751	−	0.491842i
$749$	3.36781	+	23.2284i	0.123057	+	0.848749i
$750$	−8.50409	−	0.460086i	−0.310526	−	0.0168000i
$751$	−17.6162	+	8.48354i	−0.642826	+	0.309569i	−0.726749	−	0.686904i	$-0.758969\pi$
$751$	−17.6162	+	8.48354i	−0.642826	+	0.309569i	0.0839225	+	0.996472i	$0.473255\pi$
$752$	7.48271	−	32.7839i	0.272866	−	1.19551i
$753$	−39.6915	−	35.3243i	−1.44644	−	1.28729i
$754$			0.397937i			0.0144920i
$755$	−9.94724	+	43.5817i	−0.362017	+	1.58610i
$756$	19.4433	+	16.0918i	0.707145	+	0.585253i
$757$	−1.71744	−	7.52462i	−0.0624216	−	0.273487i	0.934080	−	0.357065i	$-0.116222\pi$
$757$	−1.71744	−	7.52462i	−0.0624216	−	0.273487i	−0.996501	+	0.0835778i	$0.973365\pi$
$758$	7.46557	−	1.70397i	0.271162	−	0.0618909i
$759$	2.11979	−	39.1816i	0.0769436	−	1.42220i
$760$	−0.652094	−	0.817701i	−0.0236540	−	0.0296611i
$761$	−1.85125	−	8.11084i	−0.0671077	−	0.294018i	0.930227	−	0.366986i	$-0.119610\pi$
$761$	−1.85125	−	8.11084i	−0.0671077	−	0.294018i	−0.997334	+	0.0729677i	$0.976753\pi$
$762$	9.20283	+	5.06161i	0.333383	+	0.183363i
$763$	11.6770	+	30.2511i	0.422737	+	1.09516i
$764$	4.80423	+	1.09653i	0.173811	+	0.0396712i
$765$	2.01477	+	17.2455i	0.0728440	+	0.623511i
$766$		−	2.03438i		−	0.0735052i
$767$	1.72291	+	0.393242i	0.0622106	+	0.0141992i
$768$	7.36538	+	2.10558i	0.265775	+	0.0759786i
$769$	8.67698	−	6.91966i	0.312900	−	0.249529i	−0.454429	−	0.890783i	$-0.650157\pi$
$769$	8.67698	−	6.91966i	0.312900	−	0.249529i	0.767329	+	0.641253i	$0.221585\pi$
$770$	−5.76710	−	5.41168i	−0.207832	−	0.195023i
$771$	−15.9902	+	2.75061i	−0.575875	+	0.0990606i
$772$	5.14689	−	22.5500i	0.185241	−	0.811592i
$773$	−28.1634	+	35.3158i	−1.01297	+	1.27022i	−0.0505302	+	0.998723i	$0.516091\pi$
$773$	−28.1634	+	35.3158i	−1.01297	+	1.27022i	−0.962438	+	0.271500i	$0.912480\pi$
$774$	6.15057	−	3.89994i	0.221078	−	0.140181i
$775$	−5.91048	+	4.71345i	−0.212311	+	0.169312i
$776$	−17.1042	−	8.23694i	−0.614004	−	0.295689i
$777$	−13.1706	+	35.1114i	−0.472491	+	1.25962i
$778$	0.542236	−	0.261127i	0.0194401	−	0.00936186i
$779$	1.03397	−	2.14706i	0.0370458	−	0.0769263i
$780$	1.12147	+	0.616814i	0.0401550	+	0.0220855i
$781$	42.9409	+	20.6792i	1.53654	+	0.739961i
$782$	4.48960	−	5.62977i	0.160548	−	0.201320i
$783$	19.7955	+	13.8634i	0.707434	+	0.495436i
$784$	17.4579	+	12.1921i	0.623498	+	0.435433i
$785$		−	2.45202i		−	0.0875163i
$786$	−2.10784	−	12.2536i	−0.0751843	−	0.437073i
$787$	−11.3705	+	23.6111i	−0.405315	+	0.841645i	0.593994	+	0.804469i	$0.297550\pi$
$787$	−11.3705	+	23.6111i	−0.405315	+	0.841645i	−0.999309	+	0.0371753i	$0.988164\pi$
$788$	−2.99408	+	0.683379i	−0.106660	+	0.0243444i
$789$	−11.5545	+	4.81381i	−0.411351	+	0.171376i
$790$	1.11155	+	2.30816i	0.0395472	+	0.0821206i
$791$	3.30606	+	22.8025i	0.117550	+	0.810765i
$792$	5.89032	−	17.0577i	0.209303	−	0.606118i
$793$	0.0681929	+	0.0855112i	0.00242160	+	0.00303659i
$794$	5.52486	−	2.66063i	0.196070	−	0.0944223i
$795$	−4.36742	−	25.3894i	−0.154897	−	0.900469i
$796$	−14.4578	−	3.29991i	−0.512445	−	0.116962i
$797$	8.18808	−	10.2675i	0.290037	−	0.363695i	−0.615371	−	0.788238i	$-0.710994\pi$
$797$	8.18808	−	10.2675i	0.290037	−	0.363695i	0.905408	+	0.424543i	$0.139565\pi$
$798$	0.473723	−	0.453084i	0.0167696	−	0.0160390i
$799$	20.9272	+	26.2418i	0.740350	+	0.928370i
$800$	−2.57413	−	5.34523i	−0.0910092	−	0.188982i
$801$	5.85798	+	0.635714i	0.206982	+	0.0224619i
$802$	−6.61960			−0.233746
$803$	15.3968			0.543343
$804$	25.2267	−	17.9772i	0.889677	−	0.634007i
$805$	−20.1987	+	21.5253i	−0.711911	+	0.758667i
$806$	−0.461391	+	0.105309i	−0.0162518	+	0.00370937i
$807$	0.808975	−	1.47085i	0.0284773	−	0.0517763i
$808$	5.78093	−	4.61014i	0.203372	−	0.162184i
$809$	−30.5422	+	24.3566i	−1.07381	+	0.856333i	−0.990129	−	0.140160i	$-0.955238\pi$
$809$	−30.5422	+	24.3566i	−1.07381	+	0.856333i	−0.0836789	+	0.996493i	$0.526667\pi$
$810$	−6.23741	+	3.06706i	−0.219160	+	0.107766i
$811$	48.1268	−	10.9846i	1.68996	−	0.385723i	0.733985	−	0.679166i	$-0.237658\pi$
$811$	48.1268	−	10.9846i	1.68996	−	0.385723i	0.955976	+	0.293443i	$0.0948012\pi$
$812$	19.5003	+	11.4050i	0.684327	+	0.400238i
$813$	−3.87257	−	5.43423i	−0.135817	−	0.190587i
$814$	12.8330			0.449795
$815$	−6.54114			−0.229126
$816$	−13.0283	+	9.28431i	−0.456082	+	0.325016i
$817$	0.917801	+	1.90583i	0.0321098	+	0.0666767i
$818$	0.330595	+	0.414554i	0.0115590	+	0.0144945i
$819$	−0.672590	+	1.53524i	−0.0235022	+	0.0536458i
$820$	−14.7269	+	18.4669i	−0.514285	+	0.644893i
$821$	−16.7503	−	3.82314i	−0.584588	−	0.133428i	−0.0800092	−	0.996794i	$-0.525495\pi$
$821$	−16.7503	−	3.82314i	−0.584588	−	0.133428i	−0.504579	+	0.863366i	$0.668352\pi$
$822$	−11.0572	+	1.90204i	−0.385665	+	0.0663412i
$823$	−0.170384	+	0.0820527i	−0.00593922	+	0.00286018i	−0.436851	−	0.899534i	$-0.643906\pi$
$823$	−0.170384	+	0.0820527i	−0.00593922	+	0.00286018i	0.430912	+	0.902394i	$0.358192\pi$
$824$	15.5180	+	19.4590i	0.540595	+	0.677885i
$825$	8.45771	−	3.52364i	0.294460	−	0.122677i
$826$	−6.13869	+	6.54186i	−0.213592	+	0.227620i
$827$	−5.68298	−	11.8008i	−0.197616	−	0.410355i	0.778487	−	0.627661i	$-0.215987\pi$
$827$	−5.68298	−	11.8008i	−0.197616	−	0.410355i	−0.976104	+	0.217306i	$0.930273\pi$
$828$	−30.4709	−	10.5221i	−1.05894	−	0.365670i
$829$	25.7015	−	5.86619i	0.892649	−	0.203741i	0.248491	−	0.968634i	$-0.420065\pi$
$829$	25.7015	−	5.86619i	0.892649	−	0.203741i	0.644157	+	0.764893i	$0.277208\pi$
$830$	5.11942	−	10.6306i	0.177698	−	0.368993i
$831$	−16.8034	+	2.89048i	−0.582903	+	0.100270i
$832$			0.913348i			0.0316646i
$833$	−20.3791	+	6.03628i	−0.706095	+	0.209145i
$834$	−7.44546	−	6.62625i	−0.257815	−	0.229448i
$835$	15.2713	−	19.1496i	0.528484	−	0.662698i
$836$	2.26018	+	1.08845i	0.0781701	+	0.0376447i
$837$	−10.8353	+	26.6208i	−0.374523	+	0.920150i
$838$	0.776853	−	1.61315i	0.0268360	−	0.0557254i
$839$	−0.781133	+	0.376174i	−0.0269677	+	0.0129870i	−0.447319	−	0.894374i	$-0.647621\pi$
$839$	−0.781133	+	0.376174i	−0.0269677	+	0.0129870i	0.420351	+	0.907361i	$0.361907\pi$
$840$	−11.6526	+	6.96489i	−0.402055	+	0.240312i
$841$	−6.63864	−	3.19700i	−0.228918	−	0.110241i
$842$	−3.54228	+	2.82487i	−0.122075	+	0.0973516i
$843$	−5.68073	+	19.8714i	−0.195655	+	0.684407i
$844$	−6.89808	+	8.64992i	−0.237442	+	0.297743i
$845$	5.49504	−	24.0753i	0.189035	−	0.828217i
$846$	−7.10199	+	11.4063i	−0.244172	+	0.392158i
$847$	10.0461	+	3.16072i	0.345189	+	0.108604i
$848$	18.5585	−	14.7999i	0.637303	−	0.508232i
$849$	−11.0686	+	38.7182i	−0.379873	+	1.32881i
$850$	1.63923	+	0.374144i	0.0562252	+	0.0128330i
$851$		−	47.8981i		−	1.64192i
$852$	26.0311	−	29.2494i	0.891812	−	1.00207i
$853$	4.57106	+	1.04331i	0.156510	+	0.0357224i	0.300058	−	0.953921i	$-0.402994\pi$
$853$	4.57106	+	1.04331i	0.156510	+	0.0357224i	−0.143548	+	0.989643i	$0.545851\pi$
$854$	−0.549472	+	0.0796660i	−0.0188025	+	0.00272611i
$855$	−0.674597	−	1.90281i	−0.0230707	−	0.0650749i
$856$	−3.06801	−	13.4418i	−0.104862	−	0.459432i
$857$	−2.96836	−	3.72221i	−0.101397	−	0.127148i	0.728544	−	0.684999i	$-0.240197\pi$
$857$	−2.96836	−	3.72221i	−0.101397	−	0.127148i	−0.829941	+	0.557851i	$0.811626\pi$
$858$	0.572743	+	0.0309864i	0.0195531	+	0.00105786i
$859$	−18.4649	+	4.21450i	−0.630015	+	0.143797i	−0.525593	−	0.850736i	$-0.676156\pi$
$859$	−18.4649	+	4.21450i	−0.630015	+	0.143797i	−0.104422	+	0.994533i	$0.533299\pi$
$860$	−4.66546	−	20.4407i	−0.159091	−	0.697022i
$861$	−25.8180	−	17.0359i	−0.879875	−	0.580580i
$862$	1.36008	−	5.95891i	0.0463246	−	0.202961i
$863$		−	39.2869i		−	1.33734i	−0.743558	−	0.668671i	$-0.766863\pi$
$863$		−	39.2869i		−	1.33734i	0.743558	−	0.668671i	$-0.233137\pi$
$864$	−18.4755	−	12.9389i	−0.628549	−	0.440190i
$865$	−0.671588	+	2.94242i	−0.0228347	+	0.100045i
$866$	−8.00997	+	3.85740i	−0.272190	+	0.131080i
$867$	−0.728041	+	13.4569i	−0.0247256	+	0.457021i
$868$	−8.06309	+	25.6280i	−0.273679	+	0.869870i
$869$	−10.0380	−	8.00504i	−0.340516	−	0.271552i
$870$	−5.06657	+	3.61057i	−0.171773	+	0.122410i
$871$	1.60838	+	1.28264i	0.0544978	+	0.0434606i
$872$	−8.26460	−	17.1616i	−0.279875	−	0.581166i
$873$	−26.0181	−	25.8055i	−0.880580	−	0.873385i
$874$	−0.363277	+	0.754352i	−0.0122880	+	0.0255163i
$875$	−30.6280	−	9.63620i	−1.03541	−	0.325763i
$876$	3.47681	−	12.1620i	0.117470	−	0.410915i
$877$	−13.9332	−	6.70986i	−0.470490	−	0.226576i	0.183588	−	0.983003i	$-0.441229\pi$
$877$	−13.9332	−	6.70986i	−0.470490	−	0.226576i	−0.654078	+	0.756427i	$0.726943\pi$
$878$	−0.433135	−	1.89769i	−0.0146176	−	0.0640439i
$879$	−5.70599	−	13.6960i	−0.192458	−	0.461953i
$880$	−17.5462	−	13.9926i	−0.591481	−	0.471690i
$881$	−1.20408			−0.0405665			−0.0202833	−	0.999794i	$-0.506457\pi$
$881$	−1.20408			−0.0405665			−0.0202833	+	0.999794i	$0.506457\pi$
$882$	−5.00361	−	6.88183i	−0.168480	−	0.231723i
$883$	−29.1990			−0.982623			−0.491312	−	0.870984i	$-0.663482\pi$
$883$	−29.1990			−0.982623			−0.491312	+	0.870984i	$0.663482\pi$
$884$	−0.920299	−	0.733914i	−0.0309530	−	0.0246842i
$885$	10.6255	+	25.5042i	0.357173	+	0.857314i
$886$	2.24485	+	9.83533i	0.0754172	+	0.330425i
$887$	34.0034	+	16.3752i	1.14172	+	0.549824i	0.906537	−	0.422127i	$-0.138716\pi$
$887$	34.0034	+	16.3752i	1.14172	+	0.549824i	0.235185	+	0.971951i	$0.424430\pi$
$888$	6.05482	−	21.1799i	0.203187	−	0.710753i
$889$	28.8750	+	27.0954i	0.968436	+	0.908752i
$890$	−0.658155	+	1.36667i	−0.0220614	+	0.0458110i
$891$	21.4947	−	27.4118i	0.720098	−	0.918329i
$892$	−6.36635	−	13.2199i	−0.213161	−	0.442634i
$893$	−3.05127	−	2.43331i	−0.102107	−	0.0814275i
$894$	8.16577	−	5.81914i	0.273104	−	0.194621i
$895$	−2.21145	−	1.76357i	−0.0739206	−	0.0589497i
$896$	−23.8297	−	13.9371i	−0.796093	−	0.465606i
$897$	0.115654	−	2.13772i	0.00386159	−	0.0713764i
$898$	3.83688	−	1.84774i	0.128038	−	0.0616600i
$899$	−5.72457	+	25.0810i	−0.190925	+	0.836498i
$900$	−0.873462	−	7.47643i	−0.0291154	−	0.249214i
$901$			23.6932i			0.789335i
$902$	−2.35543	+	10.3198i	−0.0784273	+	0.343612i
$903$	26.1115	−	8.48917i	0.868936	−	0.282502i
$904$	−3.01175	−	13.1954i	−0.100169	−	0.438871i
$905$	19.4726	−	4.44449i	0.647291	−	0.147740i
$906$	16.4341	+	0.889112i	0.545986	+	0.0295388i
$907$	−3.52566	−	4.42104i	−0.117068	−	0.146798i	0.719845	−	0.694135i	$-0.244213\pi$
$907$	−3.52566	−	4.42104i	−0.117068	−	0.146798i	−0.836912	+	0.547337i	$0.815642\pi$
$908$	−3.63419	−	15.9224i	−0.120605	−	0.528404i
$909$	13.4524	−	4.76922i	0.446188	−	0.158185i
$910$	−0.314649	−	0.295257i	−0.0104305	−	0.00978769i
$911$	−30.5372	−	6.96993i	−1.01174	−	0.230924i	−0.315651	−	0.948875i	$-0.602223\pi$
$911$	−30.5372	−	6.96993i	−1.01174	−	0.230924i	−0.696093	+	0.717951i	$0.745080\pi$
$912$	1.23667	−	1.38956i	0.0409502	−	0.0460128i
$913$			59.1324i			1.95700i
$914$	−1.01312	−	0.231239i	−0.0335112	−	0.00764871i
$915$	−0.470007	+	1.64410i	−0.0155380	+	0.0543523i
$916$	−30.9630	+	24.6922i	−1.02305	+	0.815853i
$917$	3.76552	−	46.7244i	0.124349	−	1.54297i
$918$	6.13161	−	1.80742i	0.202373	−	0.0596536i
$919$	−0.703780	+	3.08346i	−0.0232155	+	0.101714i	−0.985208	−	0.171361i	$-0.945184\pi$
$919$	−0.703780	+	3.08346i	−0.0232155	+	0.101714i	0.961993	+	0.273075i	$0.0880407\pi$
$920$	10.8110	−	13.5566i	0.356430	−	0.446948i
$921$	−3.74771	+	13.1096i	−0.123491	+	0.431976i
$922$	−11.5011	+	9.17182i	−0.378768	+	0.302058i
$923$	2.34282	+	1.12824i	0.0771149	+	0.0371366i
$924$	17.9334	−	27.1783i	0.589967	−	0.894101i
$925$	10.0767	−	4.85268i	0.331320	−	0.159555i
$926$	0.612244	−	1.27134i	0.0201196	−	0.0417787i
$927$	16.0535	+	45.2816i	0.527265	+	1.48724i
$928$	−18.1898	−	8.75977i	−0.597111	−	0.287554i
$929$	8.45534	−	10.6027i	0.277411	−	0.347862i	−0.623534	−	0.781796i	$-0.714304\pi$
$929$	8.45534	−	10.6027i	0.277411	−	0.347862i	0.900944	+	0.433934i	$0.142875\pi$
$930$	−5.52711	−	4.91898i	−0.181241	−	0.161300i
$931$	2.15399	−	1.21155i	0.0705942	−	0.0397071i
$932$		−	39.2590i		−	1.28597i
$933$	24.3500	−	4.18862i	0.797182	−	0.137129i
$934$	0.951383	−	1.97557i	0.0311302	−	0.0646425i
$935$	21.8391	−	4.98463i	0.714214	−	0.163015i
$936$	0.321372	−	0.930655i	0.0105044	−	0.0304194i
$937$	5.40323	+	11.2199i	0.176516	+	0.366539i	0.970390	−	0.241543i	$-0.0776535\pi$
$937$	5.40323	+	11.2199i	0.176516	+	0.366539i	−0.793874	+	0.608082i	$0.791939\pi$
$938$	−9.74246	+	3.76062i	−0.318103	+	0.122789i
$939$	−31.5385	+	13.1395i	−1.02922	+	0.428793i
$940$	24.1182	+	30.2433i	0.786649	+	0.986427i
$941$	−26.4127	+	12.7197i	−0.861030	+	0.414650i	−0.811660	−	0.584130i	$-0.801436\pi$
$941$	−26.4127	+	12.7197i	−0.861030	+	0.414650i	−0.0493700	+	0.998781i	$0.515721\pi$
$942$	−0.889693	+	0.153043i	−0.0289878	+	0.00498641i
$943$	38.5180	+	8.79147i	1.25432	+	0.286290i
$944$	−15.8724	+	19.9033i	−0.516602	+	0.647798i
$945$	−25.6494	+	5.36612i	−0.834376	+	0.174560i
$946$	−5.85828	−	7.34606i	−0.190469	−	0.238841i
$947$	9.44536	+	19.6135i	0.306933	+	0.637353i	0.996194	−	0.0871601i	$-0.0277792\pi$
$947$	9.44536	+	19.6135i	0.306933	+	0.637353i	−0.689262	+	0.724513i	$0.742065\pi$
$948$	−8.58990	+	6.12138i	−0.278987	+	0.198813i
$949$	0.840040			0.0272689
$950$	−0.195504			−0.00634297
$951$	−3.89887	−	5.47113i	−0.126429	−	0.177414i
$952$	11.6476	−	4.49600i	0.377500	−	0.145716i
$953$	20.1177	−	4.59174i	0.651676	−	0.148741i	0.116113	−	0.993236i	$-0.462956\pi$
$953$	20.1177	−	4.59174i	0.651676	−	0.148741i	0.535563	+	0.844495i	$0.320099\pi$
$954$	−8.93972	+	3.16936i	−0.289434	+	0.102612i
$955$	−4.00017	+	3.19003i	−0.129443	+	0.103227i
$956$	−32.0522	+	25.5608i	−1.03664	+	0.826694i
$957$	15.0261	−	27.3199i	0.485726	−	0.883129i
$958$	−2.15220	+	0.491226i	−0.0695345	+	0.0158708i
$959$	−42.1623	−	3.39787i	−1.36149	−	0.109723i
$960$	−11.6288	+	8.28700i	−0.375319	+	0.267462i
$961$	0.404746			0.0130563
$962$	0.700157			0.0225740
$963$	2.87132	−	26.4586i	0.0925269	−	0.852617i
$964$	−5.19809	−	10.7940i	−0.167419	−	0.347650i
$965$	14.9733	+	18.7759i	0.482008	+	0.604419i
$966$	9.07096	+	5.98542i	0.291853	+	0.192578i
$967$	−25.3254	+	31.7571i	−0.814412	+	1.02124i	0.184848	+	0.982767i	$0.440821\pi$
$967$	−25.3254	+	31.7571i	−0.814412	+	1.02124i	−0.999260	+	0.0384726i	$0.987751\pi$
$968$	−6.03136	−	1.37662i	−0.193855	−	0.0442462i
$969$	0.314764	+	1.82984i	0.0101117	+	0.0587828i
$970$	8.49945	−	4.09312i	0.272901	−	0.131422i
$971$	7.54507	+	9.46121i	0.242133	+	0.303625i	0.888017	−	0.459810i	$-0.152083\pi$
$971$	7.54507	+	9.46121i	0.242133	+	0.303625i	−0.645884	+	0.763435i	$0.723511\pi$
$972$	−16.7988	−	23.1686i	−0.538822	−	0.743133i
$973$	−20.9930	−	31.1657i	−0.673004	−	0.999126i
$974$	−1.12110	−	2.32799i	−0.0359224	−	0.0745936i
$975$	0.461446	−	0.192247i	0.0147781	−	0.00615683i
$976$	−1.53605	+	0.350593i	−0.0491677	+	0.0112222i
$977$	−10.1160	+	21.0061i	−0.323639	+	0.672043i	−0.997783	−	0.0665571i	$-0.978799\pi$
$977$	−10.1160	+	21.0061i	−0.323639	+	0.672043i	0.674144	+	0.738600i	$0.264513\pi$
$978$	0.408265	+	2.37339i	0.0130549	+	0.0758927i
$979$		−	7.60210i		−	0.242964i
$980$	−23.4866	+	6.95671i	−0.750251	+	0.222224i
$981$	−4.26657	−	36.5199i	−0.136221	−	1.16599i
$982$	3.01478	−	3.78041i	0.0962054	−	0.120638i
$983$	19.0111	+	9.15528i	0.606361	+	0.292008i	0.711761	−	0.702422i	$-0.247898\pi$
$983$	19.0111	+	9.15528i	0.606361	+	0.292008i	−0.105400	+	0.994430i	$0.533612\pi$
$984$	15.9208	+	8.75656i	0.507538	+	0.279149i
$985$	1.38350	−	2.87287i	0.0440819	−	0.0915371i
$986$	5.15514	−	2.48258i	0.164173	−	0.0790616i
$987$	−36.6087	+	35.0138i	−1.16527	+	1.11450i
$988$	0.123314	+	0.0593848i	0.00392314	+	0.00188928i
$989$	−27.4186	+	21.8656i	−0.871861	+	0.695286i
$990$	4.80210	+	7.57336i	0.152621	+	0.240697i
$991$	−35.2007	+	44.1403i	−1.11819	+	1.40216i	−0.213050	+	0.977041i	$0.568340\pi$
$991$	−35.2007	+	44.1403i	−1.11819	+	1.40216i	−0.905137	+	0.425120i	$0.860232\pi$
$992$	5.34284	−	23.4085i	0.169635	−	0.743221i
$993$	−4.79118	+	0.824168i	−0.152044	+	0.0261542i
$994$	−10.9482	+	7.37460i	−0.347255	+	0.233908i
$995$	12.0381	−	9.60008i	0.381634	−	0.304343i
$996$	46.7087	+	13.3529i	1.48002	+	0.423102i
$997$	52.6393	+	12.0146i	1.66710	+	0.380505i	0.948961	−	0.315393i	$-0.102136\pi$
$997$	52.6393	+	12.0146i	1.66710	+	0.380505i	0.718141	+	0.695898i	$0.244993\pi$
$998$			4.00288i			0.126709i
$999$	24.3921	−	34.8295i	0.771731	−	1.10196i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	147.2.k.a.104.8	yes	96
3.2	odd	2	inner	147.2.k.a.104.9	yes	96
49.41	odd	14	inner	147.2.k.a.41.9	yes	96
147.41	even	14	inner	147.2.k.a.41.8	✓	96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
147.2.k.a.41.8	✓	96	147.41	even	14	inner
147.2.k.a.41.9	yes	96	49.41	odd	14	inner
147.2.k.a.104.8	yes	96	1.1	even	1	trivial
147.2.k.a.104.9	yes	96	3.2	odd	2	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 $\F_{q}$

Level:	\( N \)	\(=\)	\( 147 = 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	147.k (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.316774 - 0.252619i) q^{2} +(0.666108 + 1.59884i) q^{3} +(-0.408512 - 1.78981i) q^{4} +(1.71735 + 0.827032i) q^{5} +(0.192893 - 0.674744i) q^{6} +(1.33572 - 2.28382i) q^{7} +(-0.674327 + 1.40025i) q^{8} +(-2.11260 + 2.13000i) q^{9} +O(q^{10})\)	\(q+(-0.316774 - 0.252619i) q^{2} +(0.666108 + 1.59884i) q^{3} +(-0.408512 - 1.78981i) q^{4} +(1.71735 + 0.827032i) q^{5} +(0.192893 - 0.674744i) q^{6} +(1.33572 - 2.28382i) q^{7} +(-0.674327 + 1.40025i) q^{8} +(-2.11260 + 2.13000i) q^{9} +(-0.335088 - 0.695818i) q^{10} +(3.02606 + 2.41320i) q^{11} +(2.58951 - 1.84535i) q^{12} +(0.165100 + 0.131662i) q^{13} +(-1.00006 + 0.386027i) q^{14} +(-0.178355 + 3.29667i) q^{15} +(-2.74072 + 1.31986i) q^{16} +(0.675647 - 2.96020i) q^{17} +(1.20730 - 0.141047i) q^{18} +0.353049i q^{19} +(0.778671 - 3.41158i) q^{20} +(4.54121 + 0.614343i) q^{21} +(-0.348957 - 1.52888i) q^{22} +(-5.70643 + 1.30246i) q^{23} +(-2.68796 - 0.145423i) q^{24} +(-0.852142 - 1.06855i) q^{25} +(-0.0190388 - 0.0834146i) q^{26} +(-4.81276 - 1.95891i) q^{27} +(-4.63327 - 1.45772i) q^{28} +(-4.53438 - 1.03494i) q^{29} +(0.889299 - 0.999243i) q^{30} -5.53130i q^{31} +(4.23201 + 0.965929i) q^{32} +(-1.84265 + 6.44565i) q^{33} +(-0.961831 + 0.767034i) q^{34} +(4.18270 - 2.81743i) q^{35} +(4.67532 + 2.91102i) q^{36} +(-1.82094 + 7.97808i) q^{37} +(0.0891870 - 0.111837i) q^{38} +(-0.100534 + 0.351670i) q^{39} +(-2.31611 + 1.84704i) q^{40} +(-6.08147 - 2.92868i) q^{41} +(-1.28334 - 1.34180i) q^{42} +(5.39821 - 2.59964i) q^{43} +(3.08299 - 6.40189i) q^{44} +(-5.38966 + 1.91077i) q^{45} +(2.13668 + 1.02897i) q^{46} +(-6.89226 + 8.64262i) q^{47} +(-3.93587 - 3.50282i) q^{48} +(-3.43168 - 6.10111i) q^{49} +0.553757i q^{50} +(5.18295 - 0.891559i) q^{51} +(0.168206 - 0.349282i) q^{52} +(-7.60759 + 1.73638i) q^{53} +(1.02970 + 1.83633i) q^{54} +(3.20101 + 6.64696i) q^{55} +(2.29722 + 3.41039i) q^{56} +(-0.564470 + 0.235169i) q^{57} +(1.17493 + 1.47331i) q^{58} +(7.53992 - 3.63103i) q^{59} +(5.97326 - 1.02751i) q^{60} +(0.504951 + 0.115252i) q^{61} +(-1.39731 + 1.75217i) q^{62} +(2.04270 + 7.66990i) q^{63} +(2.69670 + 3.38156i) q^{64} +(0.174645 + 0.362653i) q^{65} +(2.21200 - 1.57633i) q^{66} +9.74187 q^{67} -5.57421 q^{68} +(-5.88352 - 8.25612i) q^{69} +(-2.03671 - 0.164139i) q^{70} +(12.0052 - 2.74011i) q^{71} +(-1.55796 - 4.39450i) q^{72} +(3.11014 - 2.48026i) q^{73} +(2.59224 - 2.06724i) q^{74} +(1.14083 - 2.07421i) q^{75} +(0.631891 - 0.144225i) q^{76} +(9.55330 - 3.68761i) q^{77} +(0.120685 - 0.0860032i) q^{78} -3.31719 q^{79} -5.79835 q^{80} +(-0.0738307 - 8.99970i) q^{81} +(1.18661 + 2.46402i) q^{82} +(9.52557 + 11.9447i) q^{83} +(-0.755584 - 8.37887i) q^{84} +(3.60850 - 4.52492i) q^{85} +(-2.36673 - 0.540191i) q^{86} +(-1.36567 - 7.93914i) q^{87} +(-5.41965 + 2.60996i) q^{88} +(-1.22461 - 1.53562i) q^{89} +(2.19000 + 0.756246i) q^{90} +(0.521221 - 0.201193i) q^{91} +(4.66230 + 9.68136i) q^{92} +(8.84368 - 3.68444i) q^{93} +(4.36658 - 0.996644i) q^{94} +(-0.291983 + 0.606309i) q^{95} +(1.27461 + 7.40974i) q^{96} +12.2151i q^{97} +(-0.454188 + 2.79958i) q^{98} +(-11.5330 + 1.34738i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q - 7 q^{3} + 2 q^{4} + 7 q^{6} - 14 q^{7} + 5 q^{9}+O(q^{10}) \) 96 * q - 7 * q^3 + 2 * q^4 + 7 * q^6 - 14 * q^7 + 5 * q^9	\( 96 q - 7 q^{3} + 2 q^{4} + 7 q^{6} - 14 q^{7} + 5 q^{9} - 14 q^{10} - 42 q^{12} - 14 q^{13} - 5 q^{15} - 22 q^{16} - 18 q^{18} - 7 q^{21} + 4 q^{22} - 7 q^{24} - 26 q^{25} - 28 q^{27} + 28 q^{28} - 20 q^{30} - 7 q^{33} - 70 q^{34} - 37 q^{36} + 38 q^{37} - 9 q^{39} - 28 q^{40} + 7 q^{42} - 18 q^{43} + 14 q^{45} + 62 q^{46} + 14 q^{49} - q^{51} + 112 q^{52} - 7 q^{54} - 56 q^{55} + q^{57} - 84 q^{58} + 111 q^{60} + 84 q^{61} - 7 q^{63} - 2 q^{64} + 21 q^{66} - 16 q^{67} - 91 q^{69} - 70 q^{70} - 27 q^{72} - 14 q^{73} + 119 q^{75} + 210 q^{76} - 87 q^{78} - 32 q^{79} - 71 q^{81} - 84 q^{82} + 154 q^{84} + 46 q^{85} + 49 q^{87} - 22 q^{88} + 203 q^{90} - 42 q^{91} + 53 q^{93} - 42 q^{94} - 28 q^{96} + 100 q^{99}+O(q^{100}) \) 96 * q - 7 * q^3 + 2 * q^4 + 7 * q^6 - 14 * q^7 + 5 * q^9 - 14 * q^10 - 42 * q^12 - 14 * q^13 - 5 * q^15 - 22 * q^16 - 18 * q^18 - 7 * q^21 + 4 * q^22 - 7 * q^24 - 26 * q^25 - 28 * q^27 + 28 * q^28 - 20 * q^30 - 7 * q^33 - 70 * q^34 - 37 * q^36 + 38 * q^37 - 9 * q^39 - 28 * q^40 + 7 * q^42 - 18 * q^43 + 14 * q^45 + 62 * q^46 + 14 * q^49 - q^51 + 112 * q^52 - 7 * q^54 - 56 * q^55 + q^57 - 84 * q^58 + 111 * q^60 + 84 * q^61 - 7 * q^63 - 2 * q^64 + 21 * q^66 - 16 * q^67 - 91 * q^69 - 70 * q^70 - 27 * q^72 - 14 * q^73 + 119 * q^75 + 210 * q^76 - 87 * q^78 - 32 * q^79 - 71 * q^81 - 84 * q^82 + 154 * q^84 + 46 * q^85 + 49 * q^87 - 22 * q^88 + 203 * q^90 - 42 * q^91 + 53 * q^93 - 42 * q^94 - 28 * q^96 + 100 * q^99

Introduction

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