LMFDB - Embedded newform 170.2.o.b.3.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [170,2,Mod(3,170)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(170, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([12, 1]))

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

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

chi := DirichletCharacter("170.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 170 = 2 \cdot 5 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	170.o (of order $16$, degree $8$, 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:	$1.35745683436$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$5$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			3.5
Character	$\chi$	$=$	170.3
Dual form			170.2.o.b.57.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.382683 - 0.923880i) q^{2} +(1.42311 + 2.12983i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(0.986476 - 2.00671i) q^{5} +(2.51231 - 0.499730i) q^{6} +(-0.00818577 - 0.0411526i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(-1.36290 + 3.29034i) q^{9} +O(q^{10})$	\(q+(0.382683 - 0.923880i) q^{2} +(1.42311 + 2.12983i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(0.986476 - 2.00671i) q^{5} +(2.51231 - 0.499730i) q^{6} +(-0.00818577 - 0.0411526i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(-1.36290 + 3.29034i) q^{9} +(-1.47645 - 1.67932i) q^{10} +(0.476069 + 2.39336i) q^{11} +(0.499730 - 2.51231i) q^{12} -2.17043i q^{13} +(-0.0411526 - 0.00818577i) q^{14} +(5.67781 - 0.754731i) q^{15} +1.00000i q^{16} +(-3.36760 + 2.37892i) q^{17} +(2.51831 + 2.51831i) q^{18} +(1.43074 + 3.45410i) q^{19} +(-2.11650 + 0.721411i) q^{20} +(0.0759990 - 0.0759990i) q^{21} +(2.39336 + 0.476069i) q^{22} +(-5.93039 - 3.96256i) q^{23} +(-2.12983 - 1.42311i) q^{24} +(-3.05373 - 3.95913i) q^{25} +(-2.00521 - 0.830586i) q^{26} +(-1.41050 + 0.280566i) q^{27} +(-0.0233111 + 0.0348875i) q^{28} +(-4.73332 - 7.08392i) q^{29} +(1.47552 - 5.53444i) q^{30} +(0.226000 - 1.13618i) q^{31} +(0.923880 + 0.382683i) q^{32} +(-4.41996 + 4.41996i) q^{33} +(0.909115 + 4.02163i) q^{34} +(-0.0906563 - 0.0241697i) q^{35} +(3.29034 - 1.36290i) q^{36} +(-6.10612 + 4.07998i) q^{37} +3.73869 q^{38} +(4.62265 - 3.08876i) q^{39} +(-0.143452 + 2.23146i) q^{40} +(0.400666 - 0.599639i) q^{41} +(-0.0411304 - 0.0992975i) q^{42} +(3.46790 + 8.37226i) q^{43} +(1.35573 - 2.02899i) q^{44} +(5.25826 + 5.98078i) q^{45} +(-5.93039 + 3.96256i) q^{46} -4.13811 q^{47} +(-2.12983 + 1.42311i) q^{48} +(6.46553 - 2.67811i) q^{49} +(-4.82637 + 1.30618i) q^{50} +(-9.85918 - 3.78696i) q^{51} +(-1.53472 + 1.53472i) q^{52} +(4.87166 + 2.01791i) q^{53} +(-0.280566 + 1.41050i) q^{54} +(5.27240 + 1.40566i) q^{55} +(0.0233111 + 0.0348875i) q^{56} +(-5.32057 + 7.96279i) q^{57} +(-8.35605 + 1.66212i) q^{58} +(8.77968 + 3.63666i) q^{59} +(-4.54850 - 3.48114i) q^{60} +(5.87005 + 3.92224i) q^{61} +(-0.963206 - 0.643594i) q^{62} +(0.146562 + 0.0291531i) q^{63} +(0.707107 - 0.707107i) q^{64} +(-4.35541 - 2.14107i) q^{65} +(2.39207 + 5.77496i) q^{66} +(-11.0282 - 11.0282i) q^{67} +(4.06341 + 0.699099i) q^{68} -18.2699i q^{69} +(-0.0570225 + 0.0745061i) q^{70} +(5.22907 + 1.04013i) q^{71} -3.56143i q^{72} +(-2.22600 + 11.1908i) q^{73} +(1.43270 + 7.20266i) q^{74} +(4.08650 - 12.1382i) q^{75} +(1.43074 - 3.45410i) q^{76} +(0.0945961 - 0.0391830i) q^{77} +(-1.08463 - 5.45279i) q^{78} +(7.04108 - 1.40056i) q^{79} +(2.00671 + 0.986476i) q^{80} +(4.95009 + 4.95009i) q^{81} +(-0.400666 - 0.599639i) q^{82} +(6.46869 - 15.6168i) q^{83} -0.107479 q^{84} +(1.45174 + 9.10453i) q^{85} +9.06206 q^{86} +(8.35153 - 20.1624i) q^{87} +(-1.35573 - 2.02899i) q^{88} +(-11.5475 - 11.5475i) q^{89} +(7.53777 - 2.56926i) q^{90} +(-0.0893188 + 0.0177666i) q^{91} +(1.39147 + 6.99537i) q^{92} +(2.74150 - 1.13557i) q^{93} +(-1.58359 + 3.82312i) q^{94} +(8.34275 + 0.536323i) q^{95} +(0.499730 + 2.51231i) q^{96} +(-0.800592 + 4.02485i) q^{97} -6.99824i q^{98} +(-8.52380 - 1.69549i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q+O(q^{10}) $ 40 * q	$ 40 q + 8 q^{10} - 8 q^{15} - 16 q^{18} - 16 q^{20} - 8 q^{25} - 8 q^{26} + 24 q^{27} + 8 q^{28} - 8 q^{29} - 16 q^{31} + 32 q^{33} - 8 q^{34} - 32 q^{35} + 16 q^{37} + 32 q^{39} + 8 q^{40} - 56 q^{41} - 8 q^{42} - 48 q^{43} - 16 q^{44} - 24 q^{45} - 96 q^{47} - 16 q^{49} - 32 q^{51} - 16 q^{52} - 40 q^{53} + 24 q^{54} + 8 q^{55} - 8 q^{56} - 8 q^{57} + 16 q^{58} + 24 q^{61} - 24 q^{62} - 24 q^{63} + 16 q^{65} - 16 q^{67} + 24 q^{68} + 8 q^{70} + 24 q^{71} + 16 q^{73} - 32 q^{74} + 184 q^{75} + 40 q^{77} + 16 q^{78} + 104 q^{79} + 8 q^{80} + 48 q^{81} + 56 q^{82} + 16 q^{83} - 8 q^{85} + 96 q^{86} - 8 q^{87} + 16 q^{88} + 16 q^{89} + 40 q^{90} + 48 q^{91} + 8 q^{92} + 136 q^{93} + 8 q^{94} + 8 q^{95} + 144 q^{97} - 160 q^{99}+O(q^{100}) $ 40 * q + 8 * q^10 - 8 * q^15 - 16 * q^18 - 16 * q^20 - 8 * q^25 - 8 * q^26 + 24 * q^27 + 8 * q^28 - 8 * q^29 - 16 * q^31 + 32 * q^33 - 8 * q^34 - 32 * q^35 + 16 * q^37 + 32 * q^39 + 8 * q^40 - 56 * q^41 - 8 * q^42 - 48 * q^43 - 16 * q^44 - 24 * q^45 - 96 * q^47 - 16 * q^49 - 32 * q^51 - 16 * q^52 - 40 * q^53 + 24 * q^54 + 8 * q^55 - 8 * q^56 - 8 * q^57 + 16 * q^58 + 24 * q^61 - 24 * q^62 - 24 * q^63 + 16 * q^65 - 16 * q^67 + 24 * q^68 + 8 * q^70 + 24 * q^71 + 16 * q^73 - 32 * q^74 + 184 * q^75 + 40 * q^77 + 16 * q^78 + 104 * q^79 + 8 * q^80 + 48 * q^81 + 56 * q^82 + 16 * q^83 - 8 * q^85 + 96 * q^86 - 8 * q^87 + 16 * q^88 + 16 * q^89 + 40 * q^90 + 48 * q^91 + 8 * q^92 + 136 * q^93 + 8 * q^94 + 8 * q^95 + 144 * q^97 - 160 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/170\mathbb{Z}\right)^\times$.

$n$	$71$	$137$
$\chi(n)$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	0.382683	−	0.923880i	0.270598	−	0.653281i
$2$	0.382683	−	0.923880i	0.270598	−	0.653281i
$3$	1.42311	+	2.12983i	0.821633	+	1.22966i	0.970571	+	0.240814i	$0.0774143\pi$
$3$	1.42311	+	2.12983i	0.821633	+	1.22966i	−0.148939	+	0.988846i	$0.547586\pi$
$4$	−0.707107	−	0.707107i	−0.353553	−	0.353553i
$5$	0.986476	−	2.00671i	0.441165	−	0.897426i
$5$	0.986476	−	2.00671i	0.441165	−	0.897426i
$6$	2.51231	−	0.499730i	1.02565	−	0.204014i
$7$	−0.00818577	−	0.0411526i	−0.00309393	−	0.0155542i	0.979207	−	0.202861i	$-0.0650241\pi$
$7$	−0.00818577	−	0.0411526i	−0.00309393	−	0.0155542i	−0.982301	+	0.187307i	$0.940024\pi$
$8$	−0.923880	+	0.382683i	−0.326641	+	0.135299i
$9$	−1.36290	+	3.29034i	−0.454301	+	1.09678i
$10$	−1.47645	−	1.67932i	−0.466893	−	0.531047i
$11$	0.476069	+	2.39336i	0.143540	+	0.721625i	0.983776	+	0.179404i	$0.0574168\pi$
$11$	0.476069	+	2.39336i	0.143540	+	0.721625i	−0.840235	+	0.542222i	$0.817583\pi$
$12$	0.499730	−	2.51231i	0.144260	−	0.725242i
$13$		−	2.17043i		−	0.601968i	−0.953629	−	0.300984i	$-0.902685\pi$
$13$		−	2.17043i		−	0.601968i	0.953629	−	0.300984i	$-0.0973151\pi$
$14$	−0.0411526	−	0.00818577i	−0.0109985	−	0.00218774i
$15$	5.67781	−	0.754731i	1.46600	−	0.194871i
$16$			1.00000i			0.250000i
$17$	−3.36760	+	2.37892i	−0.816763	+	0.576974i
$17$	−3.36760	+	2.37892i	−0.816763	+	0.576974i
$18$	2.51831	+	2.51831i	0.593572	+	0.593572i
$19$	1.43074	+	3.45410i	0.328233	+	0.792425i	0.998724	+	0.0505070i	$0.0160837\pi$
$19$	1.43074	+	3.45410i	0.328233	+	0.792425i	−0.670490	+	0.741918i	$0.733916\pi$
$20$	−2.11650	+	0.721411i	−0.473263	+	0.161312i
$21$	0.0759990	−	0.0759990i	0.0165844	−	0.0165844i
$22$	2.39336	+	0.476069i	0.510266	+	0.101498i
$23$	−5.93039	−	3.96256i	−1.23657	−	0.826250i	−0.246821	−	0.969061i	$-0.579386\pi$
$23$	−5.93039	−	3.96256i	−1.23657	−	0.826250i	−0.989750	+	0.142811i	$0.954386\pi$
$24$	−2.12983	−	1.42311i	−0.434751	−	0.290491i
$25$	−3.05373	−	3.95913i	−0.610746	−	0.791827i
$26$	−2.00521	−	0.830586i	−0.393255	−	0.162891i
$27$	−1.41050	+	0.280566i	−0.271450	+	0.0539949i
$28$	−0.0233111	+	0.0348875i	−0.00440538	+	0.00659312i
$29$	−4.73332	−	7.08392i	−0.878956	−	1.31545i	−0.948142	−	0.317846i	$-0.897040\pi$
$29$	−4.73332	−	7.08392i	−0.878956	−	1.31545i	0.0691866	−	0.997604i	$-0.477960\pi$
$30$	1.47552	−	5.53444i	0.269393	−	1.01045i
$31$	0.226000	−	1.13618i	0.0405908	−	0.204064i	−0.955168	−	0.296064i	$-0.904326\pi$
$31$	0.226000	−	1.13618i	0.0405908	−	0.204064i	0.995759	+	0.0919999i	$0.0293259\pi$
$32$	0.923880	+	0.382683i	0.163320	+	0.0676495i
$33$	−4.41996	+	4.41996i	−0.769417	+	0.769417i
$34$	0.909115	+	4.02163i	0.155912	+	0.689704i
$35$	−0.0906563	−	0.0241697i	−0.0153237	−	0.00408542i
$36$	3.29034	−	1.36290i	0.548389	−	0.227150i
$37$	−6.10612	+	4.07998i	−1.00384	+	0.670744i	−0.944846	−	0.327514i	$-0.893789\pi$
$37$	−6.10612	+	4.07998i	−1.00384	+	0.670744i	−0.0589933	+	0.998258i	$0.518789\pi$
$38$	3.73869			0.606496
$39$	4.62265	−	3.08876i	0.740216	−	0.494597i
$40$	−0.143452	+	2.23146i	−0.0226818	+	0.352825i
$41$	0.400666	−	0.599639i	0.0625735	−	0.0936479i	−0.798863	−	0.601513i	$-0.794565\pi$
$41$	0.400666	−	0.599639i	0.0625735	−	0.0936479i	0.861437	+	0.507865i	$0.169565\pi$
$42$	−0.0411304	−	0.0992975i	−0.00634656	−	0.0153219i
$43$	3.46790	+	8.37226i	0.528850	+	1.27676i	0.932277	+	0.361745i	$0.117819\pi$
$43$	3.46790	+	8.37226i	0.528850	+	1.27676i	−0.403427	+	0.915012i	$0.632181\pi$
$44$	1.35573	−	2.02899i	0.204384	−	0.305882i
$45$	5.25826	+	5.98078i	0.783856	+	0.891562i
$46$	−5.93039	+	3.96256i	−0.874388	+	0.584247i
$47$	−4.13811			−0.603605			−0.301803	−	0.953370i	$-0.597588\pi$
$47$	−4.13811			−0.603605			−0.301803	+	0.953370i	$0.597588\pi$
$48$	−2.12983	+	1.42311i	−0.307415	+	0.205408i
$49$	6.46553	−	2.67811i	0.923647	−	0.382587i
$50$	−4.82637	+	1.30618i	−0.682552	+	0.184722i
$51$	−9.85918	−	3.78696i	−1.38056	−	0.530280i
$52$	−1.53472	+	1.53472i	−0.212828	+	0.212828i
$53$	4.87166	+	2.01791i	0.669174	+	0.277181i	0.691293	−	0.722575i	$-0.257041\pi$
$53$	4.87166	+	2.01791i	0.669174	+	0.277181i	−0.0221193	+	0.999755i	$0.507041\pi$
$54$	−0.280566	+	1.41050i	−0.0381801	+	0.191944i
$55$	5.27240	+	1.40566i	0.710930	+	0.189539i
$56$	0.0233111	+	0.0348875i	0.00311508	+	0.00466204i
$57$	−5.32057	+	7.96279i	−0.704727	+	1.05470i
$58$	−8.35605	+	1.66212i	−1.09720	+	0.218247i
$59$	8.77968	+	3.63666i	1.14302	+	0.473453i	0.872186	−	0.489174i	$-0.162702\pi$
$59$	8.77968	+	3.63666i	1.14302	+	0.473453i	0.270831	+	0.962627i	$0.412702\pi$
$60$	−4.54850	−	3.48114i	−0.587208	−	0.449414i
$61$	5.87005	+	3.92224i	0.751583	+	0.502192i	0.871381	−	0.490607i	$-0.163225\pi$
$61$	5.87005	+	3.92224i	0.751583	+	0.502192i	−0.119798	+	0.992798i	$0.538225\pi$
$62$	−0.963206	−	0.643594i	−0.122327	−	0.0817365i
$63$	0.146562	+	0.0291531i	0.0184651	+	0.00367294i
$64$	0.707107	−	0.707107i	0.0883883	−	0.0883883i
$65$	−4.35541	−	2.14107i	−0.540222	−	0.265568i
$66$	2.39207	+	5.77496i	0.294443	+	0.710848i
$67$	−11.0282	−	11.0282i	−1.34731	−	1.34731i	−0.888576	−	0.458729i	$-0.848305\pi$
$67$	−11.0282	−	11.0282i	−1.34731	−	1.34731i	−0.458729	−	0.888576i	$-0.651695\pi$
$68$	4.06341	+	0.699099i	0.492760	+	0.0847782i
$69$		−	18.2699i		−	2.19944i
$70$	−0.0570225	+	0.0745061i	−0.00681549	+	0.00890519i
$71$	5.22907	+	1.04013i	0.620576	+	0.123440i	0.495358	−	0.868689i	$-0.335037\pi$
$71$	5.22907	+	1.04013i	0.620576	+	0.123440i	0.125218	+	0.992129i	$0.460037\pi$
$72$		−	3.56143i		−	0.419719i
$73$	−2.22600	+	11.1908i	−0.260533	+	1.30979i	0.599839	+	0.800121i	$0.295231\pi$
$73$	−2.22600	+	11.1908i	−0.260533	+	1.30979i	−0.860372	+	0.509667i	$0.829769\pi$
$74$	1.43270	+	7.20266i	0.166548	+	0.837292i
$75$	4.08650	−	12.1382i	0.471869	−	1.40160i
$76$	1.43074	−	3.45410i	0.164117	−	0.396213i
$77$	0.0945961	−	0.0391830i	0.0107802	−	0.00446532i
$78$	−1.08463	−	5.45279i	−0.122810	−	0.617406i
$79$	7.04108	−	1.40056i	0.792183	−	0.157575i	0.217618	−	0.976034i	$-0.430171\pi$
$79$	7.04108	−	1.40056i	0.792183	−	0.157575i	0.574565	+	0.818459i	$0.305171\pi$
$80$	2.00671	+	0.986476i	0.224356	+	0.110291i
$81$	4.95009	+	4.95009i	0.550010	+	0.550010i
$82$	−0.400666	−	0.599639i	−0.0442461	−	0.0662190i
$83$	6.46869	−	15.6168i	0.710031	−	1.71417i	0.0101067	−	0.999949i	$-0.496783\pi$
$83$	6.46869	−	15.6168i	0.710031	−	1.71417i	0.699924	−	0.714217i	$-0.253217\pi$
$84$	−0.107479			−0.0117269
$85$	1.45174	+	9.10453i	0.157464	+	0.987525i
$86$	9.06206			0.977188
$87$	8.35153	−	20.1624i	0.895378	−	2.16163i
$88$	−1.35573	−	2.02899i	−0.144521	−	0.216291i
$89$	−11.5475	−	11.5475i	−1.22403	−	1.22403i	−0.966187	−	0.257842i	$-0.916988\pi$
$89$	−11.5475	−	11.5475i	−1.22403	−	1.22403i	−0.257842	−	0.966187i	$-0.583012\pi$
$90$	7.53777	−	2.56926i	0.794551	−	0.270824i
$91$	−0.0893188	+	0.0177666i	−0.00936315	+	0.00186245i
$92$	1.39147	+	6.99537i	0.145070	+	0.729317i
$93$	2.74150	−	1.13557i	0.284280	−	0.117753i
$94$	−1.58359	+	3.82312i	−0.163334	+	0.394324i
$95$	8.34275	+	0.536323i	0.855948	+	0.0550256i
$96$	0.499730	+	2.51231i	0.0510034	+	0.256412i
$97$	−0.800592	+	4.02485i	−0.0812878	+	0.408661i	0.918621	+	0.395140i	$0.129304\pi$
$97$	−0.800592	+	4.02485i	−0.0812878	+	0.408661i	−0.999909	+	0.0135211i	$0.995696\pi$
$98$		−	6.99824i		−	0.706929i
$99$	−8.52380	−	1.69549i	−0.856674	−	0.170403i
$100$	−0.640216	+	4.95884i	−0.0640216	+	0.495884i
$101$			1.24630i			0.124011i	0.998076	+	0.0620057i	$0.0197497\pi$
$101$			1.24630i			0.124011i	−0.998076	+	0.0620057i	$0.980250\pi$
$102$	−7.27164	+	7.65948i	−0.719999	+	0.758402i
$103$	6.84328	+	6.84328i	0.674288	+	0.674288i	0.958702	−	0.284414i	$-0.0917989\pi$
$103$	6.84328	+	6.84328i	0.674288	+	0.674288i	−0.284414	+	0.958702i	$0.591799\pi$
$104$	0.830586	+	2.00521i	0.0814457	+	0.196627i
$105$	−0.0775364	−	0.227479i	−0.00756678	−	0.0221997i
$106$	3.72861	−	3.72861i	0.362154	−	0.362154i
$107$	0.749949	+	0.149174i	0.0725003	+	0.0144212i	0.231207	−	0.972905i	$-0.425732\pi$
$107$	0.749949	+	0.149174i	0.0725003	+	0.0144212i	−0.158707	+	0.987326i	$0.550732\pi$
$108$	1.19576	+	0.798983i	0.115062	+	0.0768822i
$109$	8.79925	+	5.87947i	0.842815	+	0.563151i	0.900337	−	0.435193i	$-0.143320\pi$
$109$	8.79925	+	5.87947i	0.842815	+	0.563151i	−0.0575218	+	0.998344i	$0.518320\pi$
$110$	3.31632	−	4.33314i	0.316199	−	0.413149i
$111$	−17.3794	−	7.19876i	−1.64957	−	0.683276i
$112$	0.0411526	−	0.00818577i	0.00388856	−	0.000773482i
$113$	−3.38351	+	5.06378i	−0.318294	+	0.476360i	−0.955772	−	0.294108i	$-0.904978\pi$
$113$	−3.38351	+	5.06378i	−0.318294	+	0.476360i	0.637478	+	0.770468i	$0.279978\pi$
$114$	5.32057	+	7.96279i	0.498317	+	0.745784i
$115$	−13.8019	+	7.99157i	−1.28703	+	0.745218i
$116$	−1.66212	+	8.35605i	−0.154324	+	0.775840i
$117$	7.14143	+	2.95808i	0.660226	+	0.273474i
$118$	6.71968	−	6.71968i	0.618596	−	0.618596i
$119$	0.125465	+	0.119112i	0.0115014	+	0.0109190i
$120$	−4.95679	+	2.87009i	−0.452491	+	0.262002i
$121$	4.66114	−	1.93071i	0.423740	−	0.175519i
$122$	5.87005	−	3.92224i	0.531449	−	0.355103i
$123$	1.84732			0.166567
$124$	−0.963206	+	0.643594i	−0.0864985	+	0.0577964i
$125$	−10.9572	+	2.22235i	−0.980046	+	0.198773i
$126$	0.0830209	−	0.124250i	0.00739609	−	0.0110690i
$127$	5.10715	+	12.3297i	0.453186	+	1.09409i	0.971104	+	0.238657i	$0.0767072\pi$
$127$	5.10715	+	12.3297i	0.453186	+	1.09409i	−0.517918	+	0.855430i	$0.673293\pi$
$128$	−0.382683	−	0.923880i	−0.0338248	−	0.0816602i
$129$	−12.8963	+	19.3007i	−1.13546	+	1.69933i
$130$	−3.64484	+	3.20452i	−0.319673	+	0.281055i
$131$	−2.94740	+	1.96939i	−0.257516	+	0.172066i	−0.677626	−	0.735406i	$-0.736991\pi$
$131$	−2.94740	+	1.96939i	−0.257516	+	0.172066i	0.420111	+	0.907473i	$0.361991\pi$
$132$	6.25077			0.544060
$133$	0.130434	−	0.0871530i	0.0113100	−	0.00755712i
$134$	−14.4090	+	5.96840i	−1.24475	+	0.515591i
$135$	−0.828410	+	3.10722i	−0.0712982	+	0.267427i
$136$	2.20088	−	3.48656i	0.188724	−	0.298970i
$137$	9.91781	−	9.91781i	0.847336	−	0.847336i	−0.142464	−	0.989800i	$-0.545503\pi$
$137$	9.91781	−	9.91781i	0.847336	−	0.847336i	0.989800	+	0.142464i	$0.0455026\pi$
$138$	−16.8792	−	6.99159i	−1.43685	−	0.595163i
$139$	0.822930	−	4.13715i	0.0698001	−	0.350909i	−0.930064	−	0.367398i	$-0.880249\pi$
$139$	0.822930	−	4.13715i	0.0698001	−	0.350909i	0.999864	+	0.0164890i	$0.00524885\pi$
$140$	0.0470131	+	0.0811942i	0.00397333	+	0.00686216i
$141$	−5.88898	−	8.81349i	−0.495942	−	0.742230i
$142$	2.96203	−	4.43299i	0.248568	−	0.372008i
$143$	5.19461	−	1.03327i	0.434395	−	0.0864066i
$144$	−3.29034	−	1.36290i	−0.274195	−	0.113575i
$145$	−18.8846	+	2.51027i	−1.56828	+	0.208466i
$146$	9.48713	+	6.33910i	0.785161	+	0.524628i
$147$	14.9051	+	9.95926i	1.22935	+	0.821426i
$148$	7.20266	+	1.43270i	0.592055	+	0.117767i
$149$	0.764298	−	0.764298i	0.0626137	−	0.0626137i	−0.675107	−	0.737720i	$-0.735902\pi$
$149$	0.764298	−	0.764298i	0.0626137	−	0.0626137i	0.737720	+	0.675107i	$0.235902\pi$
$150$	−9.65042	−	8.42053i	−0.787953	−	0.687534i
$151$	4.97432	+	12.0091i	0.404804	+	0.977284i	0.986483	+	0.163865i	$0.0523961\pi$
$151$	4.97432	+	12.0091i	0.404804	+	0.977284i	−0.581679	+	0.813419i	$0.697604\pi$
$152$	−2.64365	−	2.64365i	−0.214429	−	0.214429i
$153$	−3.23775	−	14.3228i	−0.261757	−	1.15793i
$154$		−	0.102390i		−	0.00825083i
$155$	−2.05703	−	1.57433i	−0.165225	−	0.126453i
$156$	−5.45279	−	1.08463i	−0.436572	−	0.0868396i
$157$		−	6.98767i		−	0.557677i	−0.960338	−	0.278838i	$-0.910051\pi$
$157$		−	6.98767i		−	0.557677i	0.960338	−	0.278838i	$-0.0899494\pi$
$158$	1.40056	−	7.04108i	0.111422	−	0.560158i
$159$	2.63510	+	13.2475i	0.208977	+	1.05060i
$160$	1.67932	−	1.47645i	0.132762	−	0.116723i
$161$	−0.114525	+	0.276488i	−0.00902583	+	0.0217903i
$162$	6.46761	−	2.67897i	0.508143	−	0.210480i
$163$	−2.12225	−	10.6693i	−0.166228	−	0.835683i	−0.970440	−	0.241341i	$-0.922413\pi$
$163$	−2.12225	−	10.6693i	−0.166228	−	0.835683i	0.804213	−	0.594342i	$-0.202587\pi$
$164$	−0.707322	+	0.140695i	−0.0552326	+	0.0109864i
$165$	4.50937	+	13.2297i	0.351054	+	1.02993i
$166$	−11.9526	−	11.9526i	−0.927700	−	0.927700i
$167$	1.84144	+	2.75591i	0.142495	+	0.213258i	0.895851	−	0.444354i	$-0.146567\pi$
$167$	1.84144	+	2.75591i	0.142495	+	0.213258i	−0.753357	+	0.657612i	$0.771567\pi$
$168$	−0.0411304	+	0.0992975i	−0.00317328	+	0.00766097i
$169$	8.28925			0.637634
$170$	8.96705	+	2.14292i	0.687741	+	0.164354i
$171$	−13.3151			−1.01823
$172$	3.46790	−	8.37226i	0.264425	−	0.638379i
$173$	−13.1760	−	19.7194i	−1.00176	−	1.49923i	−0.860622	−	0.509244i	$-0.829925\pi$
$173$	−13.1760	−	19.7194i	−1.00176	−	1.49923i	−0.141134	−	0.989990i	$-0.545075\pi$
$174$	−15.4316	−	15.4316i	−1.16987	−	1.16987i
$175$	−0.137932	+	0.158078i	−0.0104266	+	0.0119495i
$176$	−2.39336	+	0.476069i	−0.180406	+	0.0358851i
$177$	4.74896	+	23.8746i	0.356954	+	1.79453i
$178$	−15.0875	+	6.24945i	−1.13086	+	0.468416i
$179$	1.07522	−	2.59580i	0.0803654	−	0.194019i	−0.878590	−	0.477578i	$-0.841515\pi$
$179$	1.07522	−	2.59580i	0.0803654	−	0.194019i	0.958955	+	0.283558i	$0.0915149\pi$
$180$	0.510896	−	7.94720i	0.0380799	−	0.592350i
$181$	−2.12484	−	10.6823i	−0.157938	−	0.794008i	−0.975812	−	0.218611i	$-0.929847\pi$
$181$	−2.12484	−	10.6823i	−0.157938	−	0.794008i	0.817874	−	0.575397i	$-0.195153\pi$
$182$	−0.0177666	+	0.0893188i	−0.00131695	+	0.00662075i
$183$			18.0840i			1.33681i
$184$	6.99537	+	1.39147i	0.515705	+	0.102580i
$185$	2.16377	+	16.2780i	0.159084	+	1.19678i
$186$		−	2.96737i		−	0.217578i
$187$	−7.29683	−	6.92735i	−0.533597	−	0.506578i
$188$	2.92609	+	2.92609i	0.213407	+	0.213407i
$189$	0.0230920	+	0.0557491i	0.00167970	+	0.00405515i
$190$	3.68813	−	7.50245i	0.267565	−	0.544285i
$191$	−13.5289	+	13.5289i	−0.978916	+	0.978916i	−0.999782	−	0.0208667i	$-0.993357\pi$
$191$	−13.5289	+	13.5289i	−0.978916	+	0.978916i	0.0208667	+	0.999782i	$0.493357\pi$
$192$	2.51231	+	0.499730i	0.181310	+	0.0360649i
$193$	−0.733561	−	0.490150i	−0.0528029	−	0.0352817i	0.528889	−	0.848691i	$-0.322609\pi$
$193$	−0.733561	−	0.490150i	−0.0528029	−	0.0352817i	−0.581692	+	0.813409i	$0.697609\pi$
$194$	3.41210	+	2.27989i	0.244975	+	0.163687i
$195$	−1.63809	−	12.3233i	−0.117306	−	0.882488i
$196$	−6.46553	−	2.67811i	−0.461824	−	0.191294i
$197$	−9.89694	+	1.96862i	−0.705128	+	0.140259i	−0.534614	−	0.845097i	$-0.679543\pi$
$197$	−9.89694	+	1.96862i	−0.705128	+	0.140259i	−0.170514	+	0.985355i	$0.554543\pi$
$198$	−4.82834	+	7.22613i	−0.343135	+	0.513538i
$199$	0.122729	+	0.183676i	0.00870000	+	0.0130205i	0.835794	−	0.549043i	$-0.185008\pi$
$199$	0.122729	+	0.183676i	0.00870000	+	0.0130205i	−0.827094	+	0.562063i	$0.810008\pi$
$200$	4.33637	+	2.48915i	0.306628	+	0.176009i
$201$	7.79388	−	39.1825i	0.549738	−	2.76372i
$202$	1.15143	+	0.476938i	0.0810144	+	0.0335573i
$203$	−0.252776	+	0.252776i	−0.0177414	+	0.0177414i
$204$	4.29371	+	9.64927i	0.300620	+	0.675584i
$205$	−0.808051	−	1.39555i	−0.0564367	−	0.0974693i
$206$	8.94117	−	3.70355i	0.622961	−	0.258039i
$207$	21.1207	−	14.1124i	1.46799	−	0.980879i
$208$	2.17043			0.150492
$209$	−7.58578	+	5.06866i	−0.524719	+	0.350606i
$210$	−0.239835	−	0.0154181i	−0.0165502	−	0.00106395i
$211$	−7.37496	+	11.0374i	−0.507713	+	0.759846i	−0.993451	−	0.114258i	$-0.963551\pi$
$211$	−7.37496	+	11.0374i	−0.507713	+	0.759846i	0.485738	+	0.874104i	$0.338551\pi$
$212$	−2.01791	−	4.87166i	−0.138590	−	0.334587i
$213$	5.22624	+	12.6173i	0.358096	+	0.864520i
$214$	0.424812	−	0.635776i	0.0290395	−	0.0434608i
$215$	20.2217	+	1.29997i	1.37911	+	0.0886574i
$216$	1.19576	−	0.798983i	0.0813613	−	0.0543639i
$217$	−0.0486068			−0.00329964
$218$	8.79925	−	5.87947i	0.595960	−	0.398208i
$219$	−27.0025	+	11.1848i	−1.82466	+	0.755798i
$220$	−2.73420	−	4.72210i	−0.184339	−	0.318364i
$221$	5.16328	+	7.30913i	0.347320	+	0.491665i
$222$	−13.3016	+	13.3016i	−0.892744	+	0.892744i
$223$	−13.3822	−	5.54308i	−0.896138	−	0.371192i	−0.113404	−	0.993549i	$-0.536175\pi$
$223$	−13.3822	−	5.54308i	−0.896138	−	0.371192i	−0.782734	+	0.622357i	$0.786175\pi$
$224$	0.00818577	−	0.0411526i	0.000546935	−	0.00274963i
$225$	17.1888	−	4.65189i	1.14592	−	0.310126i
$226$	3.38351	+	5.06378i	0.225068	+	0.336838i
$227$	−16.2342	+	24.2962i	−1.07750	+	1.61260i	−0.335711	+	0.941965i	$0.608977\pi$
$227$	−16.2342	+	24.2962i	−1.07750	+	1.61260i	−0.741791	+	0.670631i	$0.766023\pi$
$228$	9.39276	−	1.86834i	0.622050	−	0.123734i
$229$	−8.84241	−	3.66265i	−0.584323	−	0.242035i	0.0708832	−	0.997485i	$-0.477418\pi$
$229$	−8.84241	−	3.66265i	−0.584323	−	0.242035i	−0.655206	+	0.755450i	$0.727418\pi$
$230$	2.10150	+	15.8095i	0.138569	+	1.04245i
$231$	0.218074	+	0.145712i	0.0143482	+	0.00958717i
$232$	7.08392	+	4.73332i	0.465082	+	0.310758i
$233$	3.23771	+	0.644021i	0.212110	+	0.0421912i	0.300001	−	0.953939i	$-0.403013\pi$
$233$	3.23771	+	0.644021i	0.212110	+	0.0421912i	−0.0878915	+	0.996130i	$0.528013\pi$
$234$	5.46582	−	5.46582i	0.357312	−	0.357312i
$235$	−4.08215	+	8.30397i	−0.266290	+	0.541691i
$236$	−3.63666	−	8.77968i	−0.236727	−	0.571509i
$237$	13.0032	+	13.0032i	0.844648	+	0.844648i
$238$	0.158059	−	0.0703326i	0.0102454	−	0.00455899i
$239$			3.25093i			0.210285i	0.994457	+	0.105142i	$0.0335299\pi$
$239$			3.25093i			0.210285i	−0.994457	+	0.105142i	$0.966470\pi$
$240$	0.754731	+	5.67781i	0.0487177	+	0.366501i
$241$	6.53894	+	1.30068i	0.421210	+	0.0837839i	0.401145	−	0.916015i	$-0.368612\pi$
$241$	6.53894	+	1.30068i	0.421210	+	0.0837839i	0.0200657	+	0.999799i	$0.493612\pi$
$242$		−	5.04518i		−	0.324317i
$243$	−4.34005	+	21.8189i	−0.278414	+	1.39968i
$244$	−1.37731	−	6.92420i	−0.0881731	−	0.443276i
$245$	1.00391	−	15.6163i	0.0641376	−	0.997689i
$246$	0.706940	−	1.70670i	0.0450728	−	0.108815i
$247$	7.49687	−	3.10531i	0.477015	−	0.197586i
$248$	0.226000	+	1.13618i	0.0143510	+	0.0721475i
$249$	42.4668	−	8.44718i	2.69123	−	0.535318i
$250$	−2.13997	+	10.9736i	−0.135344	+	0.694033i
$251$	−3.57690	−	3.57690i	−0.225772	−	0.225772i	0.585152	−	0.810924i	$-0.301035\pi$
$251$	−3.57690	−	3.57690i	−0.225772	−	0.225772i	−0.810924	+	0.585152i	$0.801035\pi$
$252$	−0.0830209	−	0.124250i	−0.00522983	−	0.00782699i
$253$	6.66056	−	16.0800i	0.418746	−	1.01094i
$254$	13.3456			0.837378
$255$	−17.3251	+	16.0487i	−1.08494	+	1.00501i
$256$	−1.00000			−0.0625000
$257$	5.35892	−	12.9376i	0.334281	−	0.807025i	−0.663962	−	0.747766i	$-0.731126\pi$
$257$	5.35892	−	12.9376i	0.334281	−	0.807025i	0.998243	−	0.0592584i	$-0.0188736\pi$
$258$	12.8963	+	19.3007i	0.802889	+	1.20161i
$259$	0.217885	+	0.217885i	0.0135387	+	0.0135387i
$260$	1.56577	+	4.59371i	0.0971049	+	0.284889i
$261$	29.7595	−	5.91954i	1.84207	−	0.366410i
$262$	0.691558	+	3.47670i	0.0427246	+	0.214791i
$263$	2.00963	−	0.832416i	0.123919	−	0.0513289i	−0.319862	−	0.947464i	$-0.603637\pi$
$263$	2.00963	−	0.832416i	0.123919	−	0.0513289i	0.443781	+	0.896135i	$0.353637\pi$
$264$	2.39207	−	5.77496i	0.147222	−	0.355424i
$265$	8.85512	−	7.78536i	0.543966	−	0.478251i
$266$	−0.0306041	−	0.153857i	−0.00187646	−	0.00943358i
$267$	8.16088	−	41.0275i	0.499438	−	2.51084i
$268$			15.5962i			0.952689i
$269$	−26.3314	−	5.23765i	−1.60546	−	0.319345i	−0.690635	−	0.723203i	$-0.742669\pi$
$269$	−26.3314	−	5.23765i	−1.60546	−	0.319345i	−0.914822	+	0.403858i	$0.867669\pi$
$270$	2.55368	+	1.95443i	0.155412	+	0.118943i
$271$		−	23.7642i		−	1.44358i	−0.692115	−	0.721788i	$-0.743321\pi$
$271$		−	23.7642i		−	1.44358i	0.692115	−	0.721788i	$-0.256679\pi$
$272$	−2.37892	−	3.36760i	−0.144243	−	0.204191i
$273$	−0.164950	−	0.164950i	−0.00998325	−	0.00998325i
$274$	−5.36748	−	12.9582i	−0.324261	−	0.782836i
$275$	8.02185	−	9.19350i	0.483735	−	0.554389i
$276$	−12.9188	+	12.9188i	−0.777618	+	0.777618i
$277$	−9.98392	−	1.98592i	−0.599876	−	0.119323i	−0.114194	−	0.993458i	$-0.536429\pi$
$277$	−9.98392	−	1.98592i	−0.599876	−	0.119323i	−0.485682	+	0.874136i	$0.661429\pi$
$278$	−3.50731	−	2.34351i	−0.210354	−	0.140554i
$279$	3.43040	+	2.29212i	0.205372	+	0.137225i
$280$	0.0930048	−	0.0123628i	0.00555810	−	0.000738818i
$281$	−7.97842	−	3.30477i	−0.475953	−	0.197146i	0.131794	−	0.991277i	$-0.457926\pi$
$281$	−7.97842	−	3.30477i	−0.475953	−	0.197146i	−0.607747	+	0.794131i	$0.707926\pi$
$282$	−10.3962	+	2.06794i	−0.619086	+	0.123144i
$283$	3.88795	−	5.81872i	0.231114	−	0.345887i	−0.697728	−	0.716363i	$-0.745805\pi$
$283$	3.88795	−	5.81872i	0.231114	−	0.345887i	0.928842	+	0.370476i	$0.120805\pi$
$284$	−2.96203	−	4.43299i	−0.175764	−	0.263050i
$285$	10.7304	+	18.5319i	0.635612	+	1.09774i
$286$	1.03327	−	5.19461i	0.0610987	−	0.307164i
$287$	−0.0279565	−	0.0115800i	−0.00165022	−	0.000683543i
$288$	−2.51831	+	2.51831i	−0.148393	+	0.148393i
$289$	5.68144	−	16.0225i	0.334202	−	0.942501i
$290$	−4.90765	+	18.4078i	−0.288187	+	1.08094i
$291$	−9.71159	+	4.02267i	−0.569303	+	0.235813i
$292$	9.48713	−	6.33910i	0.555192	−	0.370968i
$293$	33.0521			1.93092			0.965462	−	0.260542i	$-0.0839013\pi$
$293$	33.0521			1.93092			0.965462	+	0.260542i	$0.0839013\pi$
$294$	14.9051	−	9.95926i	0.869282	−	0.580836i
$295$	15.9587	−	14.0307i	0.929149	−	0.816902i
$296$	4.07998	−	6.10612i	0.237144	−	0.354911i
$297$	−1.34299	−	3.24226i	−0.0779281	−	0.188135i
$298$	−0.413635	−	0.998603i	−0.0239612	−	0.0578475i
$299$	−8.60044	+	12.8715i	−0.497376	+	0.744376i
$300$	−11.4726	+	5.69342i	−0.662371	+	0.328710i
$301$	0.316153	−	0.211247i	0.0182228	−	0.0121761i
$302$	12.9985			0.747980
$303$	−2.65441	+	1.77362i	−0.152492	+	0.101892i
$304$	−3.45410	+	1.43074i	−0.198106	+	0.0820583i
$305$	13.6614	−	7.91026i	0.782252	−	0.452940i
$306$	−14.4716	−	2.48979i	−0.827284	−	0.142332i
$307$	−2.40170	+	2.40170i	−0.137072	+	0.137072i	−0.772314	−	0.635241i	$-0.780901\pi$
$307$	−2.40170	+	2.40170i	−0.137072	+	0.137072i	0.635241	+	0.772314i	$0.280901\pi$
$308$	−0.0945961	−	0.0391830i	−0.00539011	−	0.00223266i
$309$	−4.83631	+	24.3138i	−0.275128	+	1.38316i
$310$	−2.24168	+	1.29798i	−0.127319	+	0.0737204i
$311$	11.7323	+	17.5586i	0.665276	+	0.995655i	0.998603	+	0.0528442i	$0.0168287\pi$
$311$	11.7323	+	17.5586i	0.665276	+	0.995655i	−0.333327	+	0.942811i	$0.608171\pi$
$312$	−3.08876	+	4.62265i	−0.174866	+	0.261706i
$313$	−32.1932	+	6.40363i	−1.81967	+	0.361954i	−0.982686	−	0.185277i	$-0.940682\pi$
$313$	−32.1932	+	6.40363i	−1.81967	+	0.361954i	−0.836981	+	0.547231i	$0.815682\pi$
$314$	−6.45576	−	2.67407i	−0.364320	−	0.150906i
$315$	0.203082	−	0.265349i	0.0114424	−	0.0149507i
$316$	−5.96914	−	3.98845i	−0.335790	−	0.224368i
$317$	−25.9790	−	17.3586i	−1.45913	−	0.974957i	−0.996065	−	0.0886306i	$-0.971751\pi$
$317$	−25.9790	−	17.3586i	−1.45913	−	0.974957i	−0.463061	−	0.886326i	$-0.653249\pi$
$318$	13.2475	+	2.63510i	0.742884	+	0.147769i
$319$	14.7010	−	14.7010i	0.823097	−	0.823097i
$320$	−0.721411	−	2.11650i	−0.0403281	−	0.118316i
$321$	0.749543	+	1.80956i	0.0418354	+	0.101000i
$322$	0.211614	+	0.211614i	0.0117928	+	0.0117928i
$323$	−13.0352	−	8.22842i	−0.725297	−	0.457841i
$324$		−	7.00049i		−	0.388916i
$325$	−8.59301	+	6.62790i	−0.476654	+	0.367650i
$326$	−10.6693	−	2.12225i	−0.590917	−	0.117541i
$327$			27.1081i			1.49908i
$328$	−0.140695	+	0.707322i	−0.00776859	+	0.0390553i
$329$	0.0338736	+	0.170294i	0.00186751	+	0.00938862i
$330$	13.9484	+	0.896687i	0.767832	+	0.0493610i
$331$	−3.75693	+	9.07002i	−0.206499	+	0.498533i	−0.992867	−	0.119225i	$-0.961959\pi$
$331$	−3.75693	+	9.07002i	−0.206499	+	0.498533i	0.786368	+	0.617758i	$0.211959\pi$
$332$	−15.6168	+	6.46869i	−0.857083	+	0.355015i
$333$	−5.10246	−	25.6518i	−0.279613	−	1.40571i
$334$	3.25081	−	0.646627i	0.177877	−	0.0353818i
$335$	−33.0093	+	11.2513i	−1.80349	+	0.614722i
$336$	0.0759990	+	0.0759990i	0.00414609	+	0.00414609i
$337$	8.41370	+	12.5920i	0.458323	+	0.685929i	0.986603	−	0.163141i	$-0.0521626\pi$
$337$	8.41370	+	12.5920i	0.458323	+	0.685929i	−0.528279	+	0.849071i	$0.677163\pi$
$338$	3.17216	−	7.65827i	0.172543	−	0.416555i
$339$	−15.6001			−0.847282
$340$	5.41134	−	7.46441i	0.293471	−	0.404815i
$341$	2.82688			0.153084
$342$	−5.09547	+	12.3016i	−0.275531	+	0.665192i
$343$	−0.326314	−	0.488364i	−0.0176193	−	0.0263692i
$344$	−6.40785	−	6.40785i	−0.345488	−	0.345488i
$345$	−36.6623	−	18.0228i	−1.97383	−	0.970315i
$346$	−23.2606	+	4.62681i	−1.25050	+	0.248739i
$347$	0.632152	+	3.17804i	0.0339357	+	0.170606i	0.994036	−	0.109048i	$-0.0347802\pi$
$347$	0.632152	+	3.17804i	0.0339357	+	0.170606i	−0.960101	+	0.279654i	$0.909780\pi$
$348$	−20.1624	+	8.35153i	−1.08082	+	0.447689i
$349$	−1.97926	+	4.77837i	−0.105948	+	0.255780i	−0.967959	−	0.251109i	$-0.919205\pi$
$349$	−1.97926	+	4.77837i	−0.105948	+	0.255780i	0.862011	+	0.506889i	$0.169205\pi$
$350$	0.0932605	+	0.187926i	0.00498498	+	0.0100451i
$351$	0.608947	+	3.06138i	0.0325032	+	0.163405i
$352$	−0.476069	+	2.39336i	−0.0253746	+	0.127567i
$353$		−	22.4791i		−	1.19644i	−0.801332	−	0.598220i	$-0.795875\pi$
$353$		−	22.4791i		−	1.19644i	0.801332	−	0.598220i	$-0.204125\pi$
$354$	23.8746	+	4.74896i	1.26892	+	0.252404i
$355$	7.24558	−	9.46714i	0.384555	−	0.502463i
$356$			16.3306i			0.865520i
$357$	−0.0751383	+	0.436730i	−0.00397674	+	0.0231142i
$358$	−1.98674	−	1.98674i	−0.105002	−	0.105002i
$359$	12.8019	+	30.9065i	0.675658	+	1.63118i	0.771839	+	0.635818i	$0.219337\pi$
$359$	12.8019	+	30.9065i	0.675658	+	1.63118i	−0.0961812	+	0.995364i	$0.530663\pi$
$360$	−7.14675	−	3.51327i	−0.376667	−	0.185166i
$361$	3.55122	−	3.55122i	0.186906	−	0.186906i
$362$	−10.6823	−	2.12484i	−0.561449	−	0.111679i
$363$	10.7454	+	7.17985i	0.563987	+	0.376844i
$364$	0.0757208	+	0.0505950i	0.00396885	+	0.00265190i
$365$	20.2608	+	15.5064i	1.06050	+	0.811642i
$366$	16.7075	+	6.92045i	0.873312	+	0.361738i
$367$	9.39563	−	1.86891i	0.490448	−	0.0975562i	0.0563300	−	0.998412i	$-0.482060\pi$
$367$	9.39563	−	1.86891i	0.490448	−	0.0975562i	0.434118	+	0.900856i	$0.357060\pi$
$368$	3.96256	−	5.93039i	0.206563	−	0.309143i
$369$	1.42695	+	2.13557i	0.0742838	+	0.111174i
$370$	15.8669	+	4.23025i	0.824882	+	0.219920i
$371$	0.0431639	−	0.217000i	0.00224096	−	0.0112661i
$372$	−2.74150	−	1.13557i	−0.142140	−	0.0588763i
$373$	−4.49749	+	4.49749i	−0.232871	+	0.232871i	−0.813890	−	0.581019i	$-0.802654\pi$
$373$	−4.49749	+	4.49749i	−0.232871	+	0.232871i	0.581019	+	0.813890i	$0.302654\pi$
$374$	−9.19241	+	4.09041i	−0.475328	+	0.211510i
$375$	−20.3266	−	20.1745i	−1.04966	−	1.04180i
$376$	3.82312	−	1.58359i	0.197162	−	0.0816672i
$377$	−15.3751	+	10.2733i	−0.791859	+	0.529103i
$378$	0.0603424			0.00310368
$379$	8.45523	−	5.64960i	0.434316	−	0.290201i	−0.319129	−	0.947711i	$-0.603390\pi$
$379$	8.45523	−	5.64960i	0.434316	−	0.290201i	0.753445	+	0.657511i	$0.228390\pi$
$380$	−5.51998	−	6.27845i	−0.283169	−	0.322078i
$381$	−18.9923	+	28.4239i	−0.973004	+	1.45620i
$382$	7.32178	+	17.6763i	0.374615	+	0.904400i
$383$	0.721299	+	1.74137i	0.0368567	+	0.0889799i	0.941236	−	0.337750i	$-0.109666\pi$
$383$	0.721299	+	1.74137i	0.0368567	+	0.0889799i	−0.904379	+	0.426729i	$0.859666\pi$
$384$	1.42311	−	2.12983i	0.0726228	−	0.108688i
$385$	0.0146881	−	0.228480i	0.000748574	−	0.0116444i
$386$	−0.733561	+	0.490150i	−0.0373373	+	0.0249480i
$387$	−32.2740			−1.64058
$388$	3.41210	−	2.27989i	0.173223	−	0.115744i
$389$	−7.74116	+	3.20649i	−0.392492	+	0.162576i	−0.570197	−	0.821508i	$-0.693133\pi$
$389$	−7.74116	+	3.20649i	−0.392492	+	0.162576i	0.177704	+	0.984084i	$0.443133\pi$
$390$	−12.0121	−	3.20252i	−0.608256	−	0.162166i
$391$	29.3978	−	0.763634i	1.48671	−	0.0386186i
$392$	−4.94850	+	4.94850i	−0.249937	+	0.249937i
$393$	−8.38895	−	3.47482i	−0.423167	−	0.175281i
$394$	−1.96862	+	9.89694i	−0.0991778	+	0.498600i
$395$	4.13535	−	15.5110i	0.208072	−	0.780442i
$396$	4.82834	+	7.22613i	0.242633	+	0.363127i
$397$	9.32491	−	13.9557i	0.468004	−	0.700417i	−0.520117	−	0.854095i	$-0.674112\pi$
$397$	9.32491	−	13.9557i	0.468004	−	0.700417i	0.988121	+	0.153678i	$0.0491117\pi$
$398$	0.216661	−	0.0430965i	0.0108602	−	0.00216023i
$399$	0.371243	+	0.153774i	0.0185854	+	0.00769832i
$400$	3.95913	−	3.05373i	0.197957	−	0.152687i
$401$	27.0871	+	18.0990i	1.35267	+	0.903822i	0.999496	−	0.0317369i	$-0.0101039\pi$
$401$	27.0871	+	18.0990i	1.35267	+	0.903822i	0.353170	+	0.935559i	$0.385104\pi$
$402$	−33.2173	−	22.1951i	−1.65673	−	1.10699i
$403$	−2.46599	−	0.490517i	−0.122840	−	0.0244344i
$404$	0.881267	−	0.881267i	0.0438447	−	0.0438447i
$405$	14.8165	−	5.05023i	0.736239	−	0.250948i
$406$	0.136801	+	0.330268i	0.00678934	+	0.0163909i
$407$	−12.6718	−	12.6718i	−0.628117	−	0.628117i
$408$	10.5579	−	0.274251i	0.522694	−	0.0135774i
$409$		−	25.7330i		−	1.27241i	−0.771519	−	0.636207i	$-0.780503\pi$
$409$		−	25.7330i		−	1.27241i	0.771519	−	0.636207i	$-0.219497\pi$
$410$	−1.59855	+	0.212489i	−0.0789465	+	0.0104941i
$411$	35.2374	+	7.00916i	1.73813	+	0.345736i
$412$		−	9.67785i		−	0.476794i
$413$	0.0777898	−	0.391076i	0.00382779	−	0.0192436i
$414$	−4.95561	−	24.9135i	−0.243555	−	1.22443i
$415$	−24.9571	−	28.3863i	−1.22510	−	1.39343i
$416$	0.830586	−	2.00521i	0.0407228	−	0.0983136i
$417$	9.98257	−	4.13491i	0.488848	−	0.202488i
$418$	1.77988	+	8.94804i	0.0870566	+	0.437663i
$419$	−23.5187	+	4.67816i	−1.14896	+	0.228543i	−0.732603	−	0.680656i	$-0.761695\pi$
$419$	−23.5187	+	4.67816i	−1.14896	+	0.228543i	−0.416361	+	0.909199i	$0.636695\pi$
$420$	−0.106025	+	0.215678i	−0.00517351	+	0.0105240i
$421$	7.63147	+	7.63147i	0.371935	+	0.371935i	0.868182	−	0.496246i	$-0.165289\pi$
$421$	7.63147	+	7.63147i	0.371935	+	0.371935i	−0.496246	+	0.868182i	$0.665289\pi$
$422$	7.37496	+	11.0374i	0.359007	+	0.537292i
$423$	5.63984	−	13.6158i	0.274218	−	0.662022i
$424$	−5.27304			−0.256082
$425$	19.7022	+	6.06818i	0.955698	+	0.294350i
$426$	13.6568			0.661675
$427$	0.113360	−	0.273675i	0.00548586	−	0.0132440i
$428$	−0.424812	−	0.635776i	−0.0205341	−	0.0307314i
$429$	9.59320	+	9.59320i	0.463164	+	0.463164i
$430$	8.93951	−	18.1849i	0.431101	−	0.876953i
$431$	−9.64284	+	1.91808i	−0.464479	+	0.0923906i	−0.421782	−	0.906697i	$-0.638595\pi$
$431$	−9.64284	+	1.91808i	−0.464479	+	0.0923906i	−0.0426974	+	0.999088i	$0.513595\pi$
$432$	−0.280566	−	1.41050i	−0.0134987	−	0.0678626i
$433$	−0.975402	+	0.404025i	−0.0468748	+	0.0194162i	−0.405998	−	0.913874i	$-0.633076\pi$
$433$	−0.975402	+	0.404025i	−0.0468748	+	0.0194162i	0.359123	+	0.933290i	$0.383076\pi$
$434$	−0.0186010	+	0.0449068i	−0.000892877	+	0.00215559i
$435$	−32.2214	−	36.6488i	−1.54490	−	1.75717i
$436$	−2.06460	−	10.3794i	−0.0988762	−	0.497084i
$437$	5.20226	−	26.1535i	0.248858	−	1.25109i
$438$			29.2273i			1.39653i
$439$	1.72130	+	0.342388i	0.0821533	+	0.0163413i	0.235996	−	0.971754i	$-0.424165\pi$
$439$	1.72130	+	0.342388i	0.0821533	+	0.0163413i	−0.153842	+	0.988095i	$0.549165\pi$
$440$	−5.40899	+	0.718997i	−0.257863	+	0.0342768i
$441$			24.9238i			1.18685i
$442$	8.72865	−	1.97317i	0.415180	−	0.0938540i
$443$	17.4487	+	17.4487i	0.829013	+	0.829013i	0.987380	−	0.158367i	$-0.0506230\pi$
$443$	17.4487	+	17.4487i	0.829013	+	0.829013i	−0.158367	+	0.987380i	$0.550623\pi$
$444$	7.19876	+	17.3794i	0.341638	+	0.824787i
$445$	−34.5637	+	11.7811i	−1.63848	+	0.558476i
$446$	−10.2423	+	10.2423i	−0.484986	+	0.484986i
$447$	2.71551	+	0.540148i	0.128439	+	0.0255481i
$448$	−0.0348875	−	0.0233111i	−0.00164828	−	0.00110135i
$449$	3.28010	+	2.19169i	0.154797	+	0.103432i	0.630557	−	0.776143i	$-0.282827\pi$
$449$	3.28010	+	2.19169i	0.154797	+	0.103432i	−0.475759	+	0.879576i	$0.657827\pi$
$450$	2.28009	−	17.6606i	0.107484	−	0.832528i
$451$	1.62590	+	0.673468i	0.0765605	+	0.0317124i
$452$	5.97314	−	1.18813i	0.280953	−	0.0558850i
$453$	−18.4983	+	27.6847i	−0.869127	+	1.30074i
$454$	16.2342	+	24.2962i	0.761909	+	1.14028i
$455$	−0.0524585	+	0.196763i	−0.00245929	+	0.00922438i
$456$	1.86834	−	9.39276i	0.0874928	−	0.439856i
$457$	18.6055	+	7.70665i	0.870328	+	0.360502i	0.772738	−	0.634725i	$-0.218887\pi$
$457$	18.6055	+	7.70665i	0.870328	+	0.360502i	0.0975901	+	0.995227i	$0.468887\pi$
$458$	−6.76769	+	6.76769i	−0.316233	+	0.316233i
$459$	4.08255	−	4.30030i	0.190557	−	0.200721i
$460$	15.4103	+	4.10850i	0.718508	+	0.191560i
$461$	−14.0354	+	5.81365i	−0.653693	+	0.270769i	−0.684782	−	0.728748i	$-0.740103\pi$
$461$	−14.0354	+	5.81365i	−0.653693	+	0.270769i	0.0310887	+	0.999517i	$0.490103\pi$
$462$	0.218074	−	0.145712i	0.0101457	−	0.00677915i
$463$	4.79079			0.222647			0.111323	−	0.993784i	$-0.464491\pi$
$463$	4.79079			0.222647			0.111323	+	0.993784i	$0.464491\pi$
$464$	7.08392	−	4.73332i	0.328863	−	0.219739i
$465$	0.425676	−	6.62158i	0.0197403	−	0.307069i
$466$	1.83402	−	2.74480i	0.0849592	−	0.127150i
$467$	5.84209	+	14.1041i	0.270340	+	0.652658i	0.999498	−	0.0316875i	$-0.0100881\pi$
$467$	5.84209	+	14.1041i	0.270340	+	0.652658i	−0.729158	+	0.684345i	$0.760088\pi$
$468$	−2.95808	−	7.14143i	−0.136737	−	0.330113i
$469$	−0.363564	+	0.544112i	−0.0167878	+	0.0251248i
$470$	6.10969	+	6.94920i	0.281819	+	0.320543i
$471$	14.8826	−	9.94422i	0.685753	−	0.458205i
$472$	−9.50306			−0.437414
$473$	−18.3869	+	12.2857i	−0.845429	+	0.564898i
$474$	16.9895	−	7.03727i	0.780353	−	0.323233i
$475$	9.30616	−	16.2124i	0.426996	−	0.743874i
$476$	−0.00449234	−	0.172942i	−0.000205906	−	0.00792681i
$477$	−13.2792	+	13.2792i	−0.608012	+	0.608012i
$478$	3.00347	+	1.24408i	0.137375	+	0.0569027i
$479$	−4.20902	+	21.1602i	−0.192315	+	0.966834i	0.757217	+	0.653164i	$0.226559\pi$
$479$	−4.20902	+	21.1602i	−0.192315	+	0.966834i	−0.949532	+	0.313670i	$0.898441\pi$
$480$	5.53444	+	1.47552i	0.252611	+	0.0673481i
$481$	8.85529	+	13.2529i	0.403767	+	0.604279i
$482$	3.70401	−	5.54345i	0.168713	−	0.252497i
$483$	−0.751854	+	0.149553i	−0.0342106	+	0.00680490i
$484$	−4.66114	−	1.93071i	−0.211870	−	0.0877595i
$485$	7.28692	+	5.57697i	0.330882	+	0.253237i
$486$	18.4972	+	12.3594i	0.839048	+	0.560634i
$487$	−16.3758	−	10.9420i	−0.742060	−	0.495829i	0.126159	−	0.992010i	$-0.459735\pi$
$487$	−16.3758	−	10.9420i	−0.742060	−	0.495829i	−0.868219	+	0.496181i	$0.834735\pi$
$488$	−6.92420	−	1.37731i	−0.313444	−	0.0623478i
$489$	19.7036	−	19.7036i	0.891028	−	0.891028i
$490$	−14.0434	−	6.90359i	−0.634416	−	0.311873i
$491$	−4.17779	−	10.0861i	−0.188541	−	0.455179i	0.801138	−	0.598480i	$-0.204228\pi$
$491$	−4.17779	−	10.0861i	−0.188541	−	0.455179i	−0.989679	+	0.143301i	$0.954228\pi$
$492$	−1.30625	−	1.30625i	−0.0588905	−	0.0588905i
$493$	32.7920	+	12.5956i	1.47688	+	0.567276i
$494$		−	8.11456i		−	0.365091i
$495$	−11.8109	+	15.4322i	−0.530859	+	0.693625i
$496$	1.13618	+	0.226000i	0.0510160	+	0.0101477i
$497$		−	0.223704i		−	0.0100345i
$498$	8.44718	−	42.4668i	0.378527	−	1.90298i
$499$	2.05219	+	10.3170i	0.0918685	+	0.461854i	0.999146	+	0.0413215i	$0.0131568\pi$
$499$	2.05219	+	10.3170i	0.0918685	+	0.461854i	−0.907277	+	0.420533i	$0.861843\pi$
$500$	9.31938	+	6.17650i	0.416775	+	0.276222i
$501$	−3.24905	+	7.84391i	−0.145157	+	0.350440i
$502$	−4.67345	+	1.93580i	−0.208586	+	0.0863992i
$503$	4.68369	+	23.5465i	0.208836	+	1.04989i	0.932895	+	0.360149i	$0.117274\pi$
$503$	4.68369	+	23.5465i	0.208836	+	1.04989i	−0.724059	+	0.689738i	$0.757726\pi$
$504$	−0.146562	+	0.0291531i	−0.00652841	+	0.00129858i
$505$	2.50096	+	1.22944i	0.111291	+	0.0547096i
$506$	−12.3071	−	12.3071i	−0.547117	−	0.547117i
$507$	11.7965	+	17.6547i	0.523901	+	0.784074i
$508$	5.10715	−	12.3297i	0.226593	−	0.547044i
$509$	−25.3539			−1.12379			−0.561895	−	0.827209i	$-0.689928\pi$
$509$	−25.3539			−1.12379			−0.561895	+	0.827209i	$0.689928\pi$
$510$	8.19703	+	22.1479i	0.362971	+	0.980727i
$511$	0.478754			0.0211788
$512$	−0.382683	+	0.923880i	−0.0169124	+	0.0408301i
$513$	−2.98715	−	4.47059i	−0.131886	−	0.197381i
$514$	−9.90200	−	9.90200i	−0.436759	−	0.436759i
$515$	20.4832	−	6.98171i	0.902596	−	0.307651i
$516$	22.7667	−	4.52858i	1.00225	−	0.199360i
$517$	−1.97003	−	9.90399i	−0.0866416	−	0.435577i
$518$	0.284681	−	0.117919i	0.0125081	−	0.00518104i
$519$	23.2480	−	56.1256i	1.02047	−	2.46364i
$520$	4.84322	+	0.311352i	0.212389	+	0.0136537i
$521$	−7.91442	−	39.7885i	−0.346737	−	1.74316i	−0.623128	−	0.782120i	$-0.714139\pi$
$521$	−7.91442	−	39.7885i	−0.346737	−	1.74316i	0.276391	−	0.961045i	$-0.410861\pi$
$522$	5.91954	−	29.7595i	0.259091	−	1.30254i
$523$			6.98382i			0.305381i	0.988274	+	0.152690i	$0.0487937\pi$
$523$			6.98382i			0.305381i	−0.988274	+	0.152690i	$0.951206\pi$
$524$	3.47670	+	0.691558i	0.151880	+	0.0302109i
$525$	−0.532971	−	0.0688097i	−0.0232608	−	0.00300310i
$526$		−	2.17521i		−	0.0948435i
$527$	1.94181	+	4.36383i	0.0845864	+	0.190092i
$528$	−4.41996	−	4.41996i	−0.192354	−	0.192354i
$529$	10.6659	+	25.7498i	0.463735	+	1.11955i
$530$	−3.80403	−	11.1604i	−0.165237	−	0.484776i
$531$	−23.9317	+	23.9317i	−1.03855	+	1.03855i
$532$	−0.153857	−	0.0306041i	−0.00667055	−	0.00132685i
$533$	−1.30147	−	0.869616i	−0.0563730	−	0.0376672i
$534$	−34.7814	−	23.2402i	−1.50514	−	1.00570i
$535$	1.03915	−	1.35777i	0.0449266	−	0.0587015i
$536$	14.4090	+	5.96840i	0.622374	+	0.257796i
$537$	7.05878	−	1.40408i	0.304609	−	0.0605904i
$538$	−14.9156	+	22.3227i	−0.643056	+	0.962401i
$539$	9.48772	+	14.1994i	0.408665	+	0.611611i
$540$	2.78291	−	1.61137i	0.119758	−	0.0693421i
$541$	−2.94451	+	14.8030i	−0.126594	+	0.636432i	0.864430	+	0.502753i	$0.167679\pi$
$541$	−2.94451	+	14.8030i	−0.126594	+	0.636432i	−0.991025	+	0.133680i	$0.957321\pi$
$542$	−21.9553	−	9.09418i	−0.943061	−	0.390629i
$543$	19.7276	−	19.7276i	0.846593	−	0.846593i
$544$	−4.02163	+	0.909115i	−0.172426	+	0.0389780i
$545$	20.4786	−	11.8575i	0.877207	−	0.507921i
$546$	−0.215518	+	0.0892705i	−0.00922332	+	0.00382042i
$547$	−3.51387	+	2.34789i	−0.150242	+	0.100389i	−0.628419	−	0.777875i	$-0.716298\pi$
$547$	−3.51387	+	2.34789i	−0.150242	+	0.100389i	0.478177	+	0.878263i	$0.341298\pi$
$548$	−14.0259			−0.599157
$549$	−20.9058	+	13.9688i	−0.892238	+	0.596174i
$550$	−5.42386	−	10.9294i	−0.231274	−	0.466032i
$551$	17.6964	−	26.4846i	0.753893	−	1.12828i
$552$	6.99159	+	16.8792i	0.297582	+	0.718426i
$553$	−0.115273	−	0.278294i	−0.00490192	−	0.0118343i
$554$	−5.65544	+	8.46396i	−0.240276	+	0.359599i
$555$	−31.5901	+	27.7738i	−1.34093	+	1.17893i
$556$	−3.50731	+	2.34351i	−0.148743	+	0.0993869i
$557$	−11.6947			−0.495521			−0.247761	−	0.968821i	$-0.579695\pi$
$557$	−11.6947			−0.495521			−0.247761	+	0.968821i	$0.579695\pi$
$558$	3.43040	−	2.29212i	0.145220	−	0.0970331i
$559$	18.1714	−	7.52683i	0.768567	−	0.318351i
$560$	0.0241697	−	0.0906563i	0.00102135	−	0.00383093i
$561$	4.36991	−	25.3994i	0.184498	−	1.07236i
$562$	−6.10642	+	6.10642i	−0.257584	+	0.257584i
$563$	33.9608	+	14.0670i	1.43128	+	0.592854i	0.957666	−	0.287880i	$-0.0929504\pi$
$563$	33.9608	+	14.0670i	1.43128	+	0.592854i	0.473611	+	0.880734i	$0.342950\pi$
$564$	−2.06794	+	10.3962i	−0.0870758	+	0.437760i
$565$	6.82376	+	11.7850i	0.287078	+	0.495799i
$566$	−3.88795	−	5.81872i	−0.163423	−	0.244579i
$567$	0.163189	−	0.244230i	0.00685330	−	0.0102567i
$568$	−5.22907	+	1.04013i	−0.219407	+	0.0436427i
$569$	12.1903	+	5.04937i	0.511043	+	0.211681i	0.623277	−	0.782001i	$-0.285801\pi$
$569$	12.1903	+	5.04937i	0.511043	+	0.211681i	−0.112235	+	0.993682i	$0.535801\pi$
$570$	21.2276	−	2.82171i	0.889126	−	0.118188i
$571$	−19.7618	−	13.2044i	−0.827008	−	0.552589i	0.0684917	−	0.997652i	$-0.478181\pi$
$571$	−19.7618	−	13.2044i	−0.827008	−	0.552589i	−0.895499	+	0.445063i	$0.853181\pi$
$572$	−4.40378	−	2.94251i	−0.184131	−	0.123033i
$573$	−48.0674	−	9.56119i	−2.00804	−	0.399425i
$574$	−0.0213970	+	0.0213970i	−0.000893092	+	0.000893092i
$575$	2.42151	+	35.5798i	0.100984	+	1.48378i
$576$	1.36290	+	3.29034i	0.0567876	+	0.137097i
$577$	6.38096	+	6.38096i	0.265643	+	0.265643i	0.827342	−	0.561699i	$-0.189852\pi$
$577$	6.38096	+	6.38096i	0.265643	+	0.265643i	−0.561699	+	0.827342i	$0.689852\pi$
$578$	−12.6287	−	11.3805i	−0.525284	−	0.473367i
$579$		−	2.25990i		−	0.0939182i
$580$	15.1285	+	11.5784i	0.628176	+	0.480768i
$581$	−0.695624	−	0.138368i	−0.0288593	−	0.00574048i
$582$			10.5117i			0.435726i
$583$	−2.51033	+	12.6203i	−0.103967	+	0.522679i
$584$	−2.22600	−	11.1908i	−0.0921124	−	0.463080i
$585$	12.9808	−	11.4127i	0.536692	−	0.471856i
$586$	12.6485	−	30.5362i	0.522505	−	1.26144i
$587$	20.0647	−	8.31106i	0.828158	−	0.343034i	0.0719847	−	0.997406i	$-0.477067\pi$
$587$	20.0647	−	8.31106i	0.828158	−	0.343034i	0.756173	+	0.654371i	$0.227067\pi$
$588$	−3.49723	−	17.5818i	−0.144223	−	0.725059i
$589$	4.24782	−	0.844945i	0.175029	−	0.0348153i
$590$	−6.85561	−	20.1132i	−0.282241	−	0.828048i
$591$	−18.2773	−	18.2773i	−0.751826	−	0.751826i
$592$	−4.07998	−	6.10612i	−0.167686	−	0.250960i
$593$	−10.7516	+	25.9568i	−0.441517	+	1.06592i	0.533900	+	0.845548i	$0.320726\pi$
$593$	−10.7516	+	25.9568i	−0.441517	+	1.06592i	−0.975417	+	0.220368i	$0.929274\pi$
$594$	−3.50940			−0.143992
$595$	0.362792	−	0.134271i	0.0148730	−	0.00550456i
$596$	−1.08088			−0.0442746
$597$	−0.216544	+	0.522783i	−0.00886255	+	0.0213961i
$598$	8.60044	+	12.8715i	0.351698	+	0.526353i
$599$	3.04934	+	3.04934i	0.124593	+	0.124593i	0.766654	−	0.642061i	$-0.221920\pi$
$599$	3.04934	+	3.04934i	0.124593	+	0.124593i	−0.642061	+	0.766654i	$0.721920\pi$
$600$	0.869659	+	12.7781i	0.0355037	+	0.521663i
$601$	−12.0448	+	2.39585i	−0.491317	+	0.0977289i	−0.434530	−	0.900657i	$-0.643085\pi$
$601$	−12.0448	+	2.39585i	−0.491317	+	0.0977289i	−0.0567866	+	0.998386i	$0.518085\pi$
$602$	−0.0741800	−	0.372928i	−0.00302335	−	0.0151994i
$603$	51.3167	−	21.2561i	2.08978	−	0.865614i
$604$	4.97432	−	12.0091i	0.202402	−	0.488642i
$605$	0.723742	−	11.2581i	0.0294243	−	0.457708i
$606$	0.622813	+	3.13109i	0.0253000	+	0.127192i
$607$	−2.80480	+	14.1007i	−0.113843	+	0.572328i	0.881188	+	0.472766i	$0.156744\pi$
$607$	−2.80480	+	14.1007i	−0.113843	+	0.572328i	−0.995031	+	0.0995626i	$0.968256\pi$
$608$			3.73869i			0.151624i
$609$	−0.898099	−	0.178643i	−0.0363928	−	0.00723898i
$610$	−2.08012	−	15.6487i	−0.0842216	−	0.633596i
$611$			8.98146i			0.363351i
$612$	−7.83829	+	12.4172i	−0.316844	+	0.501934i
$613$	2.17490	+	2.17490i	0.0878433	+	0.0878433i	0.749663	−	0.661820i	$-0.230216\pi$
$613$	2.17490	+	2.17490i	0.0878433	+	0.0878433i	−0.661820	+	0.749663i	$0.730216\pi$
$614$	1.29979	+	3.13798i	0.0524554	+	0.126638i
$615$	1.82234	−	3.70703i	0.0734838	−	0.149482i
$616$	−0.0724007	+	0.0724007i	−0.00291711	+	0.00291711i
$617$	12.1910	+	2.42495i	0.490793	+	0.0976247i	0.434281	−	0.900777i	$-0.357002\pi$
$617$	12.1910	+	2.42495i	0.490793	+	0.0976247i	0.0565112	+	0.998402i	$0.482002\pi$
$618$	20.6122	+	13.7726i	0.829145	+	0.554017i
$619$	−38.7236	−	25.8743i	−1.55643	−	1.03998i	−0.973846	−	0.227208i	$-0.927040\pi$
$619$	−38.7236	−	25.8743i	−1.55643	−	1.03998i	−0.582588	−	0.812768i	$-0.697960\pi$
$620$	0.341323	+	2.56776i	0.0137079	+	0.103124i
$621$	9.47656	+	3.92532i	0.380281	+	0.157518i
$622$	20.7118	−	4.11982i	0.830466	−	0.165190i
$623$	−0.380684	+	0.569734i	−0.0152518	+	0.0228259i
$624$	3.08876	+	4.62265i	0.123649	+	0.185054i
$625$	−6.34946	+	24.1802i	−0.253978	+	0.967210i
$626$	−6.40363	+	32.1932i	−0.255940	+	1.28670i
$627$	−21.5908	−	8.94320i	−0.862253	−	0.357157i
$628$	−4.94103	+	4.94103i	−0.197168	+	0.197168i
$629$	10.8570	−	28.2657i	0.432897	−	1.12703i
$630$	−0.167434	−	0.289168i	−0.00667074	−	0.0115207i
$631$	−25.1686	+	10.4252i	−1.00195	+	0.415020i	−0.822511	−	0.568749i	$-0.807427\pi$
$631$	−25.1686	+	10.4252i	−1.00195	+	0.415020i	−0.179436	+	0.983770i	$0.557427\pi$
$632$	−5.96914	+	3.98845i	−0.237440	+	0.158652i
$633$	−34.0032			−1.35151
$634$	−25.9790	+	17.3586i	−1.03176	+	0.689399i
$635$	29.7802	+	1.91446i	1.18179	+	0.0759729i
$636$	7.50412	−	11.2307i	0.297558	−	0.445327i
$637$	−5.81264	−	14.0330i	−0.230305	−	0.556006i
$638$	−7.95611	−	19.2078i	−0.314985	−	0.760442i
$639$	−10.5491	+	15.7878i	−0.417315	+	0.624556i
$640$	−2.23146	−	0.143452i	−0.0882063	−	0.00567044i
$641$	4.62681	−	3.09154i	0.182748	−	0.122108i	−0.460831	−	0.887488i	$-0.652449\pi$
$641$	4.62681	−	3.09154i	0.182748	−	0.122108i	0.643579	+	0.765379i	$0.277449\pi$
$642$	1.95865			0.0773018
$643$	1.95259	−	1.30468i	0.0770025	−	0.0514515i	−0.516473	−	0.856303i	$-0.672755\pi$
$643$	1.95259	−	1.30468i	0.0770025	−	0.0514515i	0.593476	+	0.804852i	$0.297755\pi$
$644$	0.276488	−	0.114525i	0.0108951	−	0.00451291i
$645$	26.0089	+	44.9188i	1.02410	+	1.76867i
$646$	−12.5904	+	8.89406i	−0.495363	+	0.349932i
$647$	2.50204	−	2.50204i	0.0983654	−	0.0983654i	−0.656212	−	0.754577i	$-0.727842\pi$
$647$	2.50204	−	2.50204i	0.0983654	−	0.0983654i	0.754577	+	0.656212i	$0.227842\pi$
$648$	−6.46761	−	2.67897i	−0.254072	−	0.105240i
$649$	−4.52411	+	22.7442i	−0.177587	+	0.892790i
$650$	2.83498	+	10.4753i	0.111197	+	0.410875i
$651$	−0.0691728	−	0.103524i	−0.00271109	−	0.00405744i
$652$	−6.04366	+	9.04498i	−0.236688	+	0.354229i
$653$	30.5649	−	6.07974i	1.19610	−	0.237919i	0.443424	−	0.896312i	$-0.353764\pi$
$653$	30.5649	−	6.07974i	1.19610	−	0.237919i	0.752674	+	0.658393i	$0.228764\pi$
$654$	25.0446	+	10.3738i	0.979321	+	0.405648i
$655$	1.04445	+	7.85732i	0.0408099	+	0.307011i
$656$	0.599639	+	0.400666i	0.0234120	+	0.0156434i
$657$	−33.7878	−	22.5763i	−1.31819	−	0.880785i
$658$	0.170294	+	0.0338736i	0.00663876	+	0.00132053i
$659$	21.8155	−	21.8155i	0.849813	−	0.849813i	−0.140296	−	0.990110i	$-0.544806\pi$
$659$	21.8155	−	21.8155i	0.849813	−	0.849813i	0.990110	+	0.140296i	$0.0448056\pi$
$660$	6.16624	−	12.5435i	0.240020	−	0.488253i
$661$	−6.74921	−	16.2940i	−0.262514	−	0.633765i	0.736579	−	0.676352i	$-0.236440\pi$
$661$	−6.74921	−	16.2940i	−0.262514	−	0.633765i	−0.999093	+	0.0425871i	$0.986440\pi$
$662$	6.94189	+	6.94189i	0.269804	+	0.269804i
$663$	−8.21931	+	21.3986i	−0.319212	+	0.831053i
$664$			16.9035i			0.655983i
$665$	−0.0462207	−	0.347716i	−0.00179236	−	0.0134839i
$666$	−25.6518	−	5.10246i	−0.993987	−	0.197716i
$667$			60.7664i			2.35288i
$668$	0.646627	−	3.25081i	0.0250187	−	0.125778i
$669$	−7.23847	−	36.3903i	−0.279856	−	1.40693i
$670$	−2.23731	+	34.8023i	−0.0864347	+	1.34453i
$671$	−6.59279	+	15.9164i	−0.254512	+	0.614446i
$672$	0.0992975	−	0.0411304i	0.00383049	−	0.00158664i
$673$	5.23317	+	26.3089i	0.201724	+	1.01413i	0.940399	+	0.340072i	$0.110452\pi$
$673$	5.23317	+	26.3089i	0.201724	+	1.01413i	−0.738675	+	0.674061i	$0.764548\pi$
$674$	14.8533	−	2.95450i	0.572126	−	0.113803i
$675$	5.41808	+	4.72758i	0.208542	+	0.181965i
$676$	−5.86138	−	5.86138i	−0.225438	−	0.225438i
$677$	−2.91935	−	4.36912i	−0.112200	−	0.167919i	0.771120	−	0.636690i	$-0.219697\pi$
$677$	−2.91935	−	4.36912i	−0.112200	−	0.167919i	−0.883320	+	0.468771i	$0.844697\pi$
$678$	−5.96991	+	14.4126i	−0.229273	+	0.553514i
$679$	0.172187			0.00660791
$680$	−4.82539	−	7.85593i	−0.185045	−	0.301261i
$681$	−74.8500			−2.86826
$682$	1.08180	−	2.61170i	0.0414242	−	0.100007i
$683$	−21.9912	−	32.9122i	−0.841470	−	1.25935i	−0.963738	−	0.266851i	$-0.914017\pi$
$683$	−21.9912	−	32.9122i	−0.841470	−	1.25935i	0.122268	−	0.992497i	$-0.460983\pi$
$684$	9.41520	+	9.41520i	0.359999	+	0.359999i
$685$	−10.1184	−	29.6858i	−0.386606	−	1.13424i
$686$	−0.576064	+	0.114586i	−0.0219942	+	0.00437493i
$687$	−4.78289	−	24.0452i	−0.182479	−	0.917382i
$688$	−8.37226	+	3.46790i	−0.319189	+	0.132213i
$689$	4.37972	−	10.5736i	0.166854	−	0.402821i
$690$	−30.6810	+	26.9745i	−1.16800	+	1.02690i
$691$	−5.45405	−	27.4193i	−0.207482	−	1.04308i	−0.934364	−	0.356319i	$-0.884032\pi$
$691$	−5.45405	−	27.4193i	−0.207482	−	1.04308i	0.726883	−	0.686762i	$-0.240968\pi$
$692$	−4.62681	+	23.2606i	−0.175885	+	0.884234i
$693$			0.364656i			0.0138521i
$694$	3.17804	+	0.632152i	0.120637	+	0.0239962i
$695$	−7.49024	−	5.73258i	−0.284121	−	0.217449i
$696$			21.8236i			0.827221i
$697$	0.0772133	+	2.97250i	0.00292466	+	0.112591i
$698$	3.65720	+	3.65720i	0.138427	+	0.138427i
$699$	3.23596	+	7.81231i	0.122395	+	0.295489i
$700$	0.209310	−	0.0142454i	0.00791118	−	0.000538424i
$701$	31.7560	−	31.7560i	1.19941	−	1.19941i	0.225063	−	0.974344i	$-0.427741\pi$
$701$	31.7560	−	31.7560i	1.19941	−	1.19941i	0.974344	−	0.225063i	$-0.0722588\pi$
$702$	3.06138	+	0.608947i	0.115544	+	0.0229832i
$703$	−22.8289	−	15.2538i	−0.861008	−	0.575307i
$704$	2.02899	+	1.35573i	0.0764706	+	0.0510960i
$705$	−23.4954	+	3.12316i	−0.884888	+	0.117625i
$706$	−20.7680	−	8.60237i	−0.781612	−	0.323754i
$707$	0.0512885	−	0.0102019i	0.00192890	−	0.000383683i
$708$	13.5239	−	20.2399i	0.508259	−	0.760663i
$709$	−3.74297	−	5.60175i	−0.140570	−	0.210378i	0.754504	−	0.656295i	$-0.227878\pi$
$709$	−3.74297	−	5.60175i	−0.140570	−	0.210378i	−0.895074	+	0.445917i	$0.852878\pi$
$710$	−5.97373	−	10.3170i	−0.224190	−	0.387188i
$711$	−4.98799	+	25.0763i	−0.187064	+	0.940436i
$712$	15.0875	+	6.24945i	0.565428	+	0.234208i
$713$	−5.84244	+	5.84244i	−0.218801	+	0.218801i
$714$	0.374732	+	0.236548i	0.0140240	+	0.00885259i
$715$	3.05089	−	11.4434i	0.114097	−	0.427957i
$716$	−2.59580	+	1.07522i	−0.0970096	+	0.0401827i
$717$	−6.92394	+	4.62643i	−0.258579	+	0.172777i
$718$	33.4529			1.24845
$719$	−9.66147	+	6.45559i	−0.360312	+	0.240753i	−0.722528	−	0.691341i	$-0.757020\pi$
$719$	−9.66147	+	6.45559i	−0.360312	+	0.240753i	0.362216	+	0.932094i	$0.382020\pi$
$720$	−5.98078	+	5.25826i	−0.222891	+	0.195964i
$721$	0.225601	−	0.337636i	0.00840184	−	0.0125742i
$722$	−1.92191	−	4.63989i	−0.0715259	−	0.172679i
$723$	6.53541	+	15.7779i	0.243054	+	0.586785i
$724$	−6.05103	+	9.05601i	−0.224885	+	0.336564i
$725$	−13.5919	+	40.3722i	−0.504790	+	1.49939i
$726$	10.7454	−	7.17985i	0.398799	−	0.266469i
$727$	−4.11908			−0.152768			−0.0763841	−	0.997078i	$-0.524338\pi$
$727$	−4.11908			−0.152768			−0.0763841	+	0.997078i	$0.524338\pi$
$728$	0.0757208	−	0.0505950i	0.00280640	−	0.00187518i
$729$	−33.2442	+	13.7702i	−1.23127	+	0.510007i
$730$	22.0795	−	12.7845i	0.817200	−	0.473176i
$731$	−31.5955	−	19.9445i	−1.16860	−	0.737675i
$732$	12.7873	−	12.7873i	0.472633	−	0.472633i
$733$	−35.9833	−	14.9048i	−1.32907	−	0.550520i	−0.398683	−	0.917089i	$-0.630533\pi$
$733$	−35.9833	−	14.9048i	−1.32907	−	0.550520i	−0.930391	+	0.366568i	$0.880533\pi$
$734$	1.86891	−	9.39563i	0.0689826	−	0.346799i
$735$	34.6888	−	20.0855i	1.27952	−	0.740866i
$736$	−3.96256	−	5.93039i	−0.146062	−	0.218597i
$737$	21.1442	−	31.6446i	0.778857	−	1.16564i
$738$	2.51908	−	0.501077i	0.0927287	−	0.0184449i
$739$	−45.9741	−	19.0431i	−1.69119	−	0.700512i	−0.691426	−	0.722448i	$-0.743017\pi$
$739$	−45.9741	−	19.0431i	−1.69119	−	0.700512i	−0.999759	+	0.0219357i	$0.993017\pi$
$740$	9.98025	−	13.0403i	0.366881	−	0.479370i
$741$	17.2827	+	11.5479i	0.634894	+	0.424223i
$742$	−0.183963	−	0.122920i	−0.00675351	−	0.00451255i
$743$	−35.0091	−	6.96374i	−1.28436	−	0.255475i	−0.494723	−	0.869051i	$-0.664730\pi$
$743$	−35.0091	−	6.96374i	−1.28436	−	0.255475i	−0.789636	+	0.613576i	$0.789730\pi$
$744$	−2.09825	+	2.09825i	−0.0769256	+	0.0769256i
$745$	−0.779759	−	2.28768i	−0.0285682	−	0.0838142i
$746$	2.43402	+	5.87625i	0.0891159	+	0.215145i
$747$	42.5683	+	42.5683i	1.55749	+	1.55749i
$748$	0.261266	+	10.0580i	0.00955283	+	0.367757i
$749$		−	0.0320835i		−	0.00117230i
$750$	−26.4174	+	11.0589i	−0.964628	+	0.403813i
$751$	33.2936	+	6.62250i	1.21490	+	0.241659i	0.760618	−	0.649199i	$-0.224896\pi$
$751$	33.2936	+	6.62250i	1.21490	+	0.241659i	0.454282	+	0.890858i	$0.349896\pi$
$752$		−	4.13811i		−	0.150901i
$753$	2.52788	−	12.7085i	0.0921212	−	0.463124i
$754$	3.60751	+	18.1362i	0.131378	+	0.660481i
$755$	29.0057	+	1.86467i	1.05563	+	0.0678621i
$756$	0.0230920	−	0.0557491i	0.000839849	−	0.00202757i
$757$	20.7403	−	8.59092i	0.753820	−	0.312242i	0.0275207	−	0.999621i	$-0.491239\pi$
$757$	20.7403	−	8.59092i	0.753820	−	0.312242i	0.726299	+	0.687379i	$0.241239\pi$
$758$	−1.98388	−	9.97362i	−0.0720577	−	0.362258i
$759$	43.7264	−	8.69773i	1.58717	−	0.315708i
$760$	−7.91294	+	2.69713i	−0.287032	+	0.0978353i
$761$	−13.1115	−	13.1115i	−0.475292	−	0.475292i	0.428330	−	0.903622i	$-0.359102\pi$
$761$	−13.1115	−	13.1115i	−0.475292	−	0.475292i	−0.903622	+	0.428330i	$0.859102\pi$
$762$	18.9923	+	28.4239i	0.688017	+	1.02969i
$763$	0.169927	−	0.410240i	0.00615177	−	0.0148517i
$764$	19.1327			0.692198
$765$	−31.9355	−	7.63186i	−1.15463	−	0.275930i
$766$	1.88485			0.0681022
$767$	7.89311	−	19.0557i	0.285004	−	0.688060i
$768$	−1.42311	−	2.12983i	−0.0513520	−	0.0768538i
$769$	0.316255	+	0.316255i	0.0114044	+	0.0114044i	0.712786	−	0.701382i	$-0.247433\pi$
$769$	0.316255	+	0.316255i	0.0114044	+	0.0114044i	−0.701382	+	0.712786i	$0.747433\pi$
$770$	−0.205467	−	0.101005i	−0.00740451	−	0.00363998i
$771$	35.1813	−	6.99799i	1.26702	−	0.252026i
$772$	0.172118	+	0.865294i	0.00619465	+	0.0311426i
$773$	28.9680	−	11.9989i	1.04191	−	0.431572i	0.204911	−	0.978781i	$-0.434310\pi$
$773$	28.9680	−	11.9989i	1.04191	−	0.431572i	0.836996	+	0.547209i	$0.184310\pi$
$774$	−12.3507	+	29.8172i	−0.443937	+	1.07176i
$775$	−5.18843	+	2.57482i	−0.186374	+	0.0924903i
$776$	−0.800592	−	4.02485i	−0.0287396	−	0.144484i
$777$	−0.153985	+	0.774133i	−0.00552417	+	0.0277719i
$778$			8.37897i			0.300401i
$779$	2.64446	+	0.526016i	0.0947476	+	0.0188465i
$780$	−7.55557	+	9.87218i	−0.270533	+	0.353481i
$781$			13.0102i			0.465542i
$782$	10.5445	−	27.4522i	0.377072	−	0.981690i
$783$	8.66384	+	8.66384i	0.309620	+	0.309620i
$784$	2.67811	+	6.46553i	0.0956468	+	0.230912i
$785$	−14.0222	−	6.89317i	−0.500473	−	0.246028i
$786$	−6.42063	+	6.42063i	−0.229016	+	0.229016i
$787$	−2.65816	−	0.528742i	−0.0947533	−	0.0188476i	0.147486	−	0.989064i	$-0.452882\pi$
$787$	−2.65816	−	0.528742i	−0.0947533	−	0.0188476i	−0.242239	+	0.970217i	$0.577882\pi$
$788$	8.39022	+	5.60616i	0.298889	+	0.199711i
$789$	4.63283	+	3.09556i	0.164933	+	0.110205i
$790$	−12.7478	−	9.75636i	−0.453545	−	0.347116i
$791$	0.236085	+	0.0977894i	0.00839420	+	0.00347699i
$792$	8.52380	−	1.69549i	0.302880	−	0.0602466i
$793$	8.51294	−	12.7405i	0.302303	−	0.452429i
$794$	−9.32491	−	13.9557i	−0.330929	−	0.495270i
$795$	29.1833	+	7.78050i	1.03503	+	0.275946i
$796$	0.0430965	−	0.216661i	0.00152752	−	0.00767934i
$797$	27.7775	+	11.5058i	0.983928	+	0.407556i	0.815879	−	0.578222i	$-0.196253\pi$
$797$	27.7775	+	11.5058i	0.983928	+	0.407556i	0.168049	+	0.985779i	$0.446253\pi$
$798$	0.284137	−	0.284137i	0.0100583	−	0.0100583i
$799$	13.9355	−	9.84425i	0.493002	−	0.348264i
$800$	−1.30618	−	4.82637i	−0.0461806	−	0.170638i
$801$	53.7331	−	22.2570i	1.89857	−	0.786412i
$802$	27.0871	−	18.0990i	0.956479	−	0.639099i
$803$	−27.8434			−0.982573
$804$	−33.2173	+	22.1951i	−1.17148	+	0.782760i
$805$	0.441853	+	0.502566i	0.0155733	+	0.0177131i
$806$	−1.39687	+	2.09057i	−0.0492028	+	0.0736371i
$807$	−26.3172	−	63.5354i	−0.926410	−	2.23655i
$808$	−0.476938	−	1.15143i	−0.0167786	−	0.0405072i
$809$	−8.27844	+	12.3896i	−0.291054	+	0.435594i	−0.947965	−	0.318375i	$-0.896863\pi$
$809$	−8.27844	+	12.3896i	−0.291054	+	0.435594i	0.656911	+	0.753969i	$0.271863\pi$
$810$	1.00424	−	15.6213i	0.0352852	−	0.548877i
$811$	27.9751	−	18.6924i	0.982339	−	0.656378i	0.0428949	−	0.999080i	$-0.486342\pi$
$811$	27.9751	−	18.6924i	0.982339	−	0.656378i	0.939444	+	0.342701i	$0.111342\pi$
$812$	0.357479			0.0125451
$813$	50.6139	−	33.8191i	1.77511	−	1.18609i
$814$	−16.5565	+	6.85792i	−0.580305	+	0.240370i
$815$	−23.5037	−	6.26626i	−0.823297	−	0.219497i
$816$	3.78696	−	9.85918i	0.132570	−	0.345140i
$817$	−23.9570	+	23.9570i	−0.838148	+	0.838148i
$818$	−23.7742	−	9.84758i	−0.831244	−	0.344313i
$819$	0.0632746	−	0.318103i	0.00221099	−	0.0111154i
$820$	−0.415423	+	1.55818i	−0.0145072	+	0.0544140i
$821$	−10.2814	−	15.3873i	−0.358825	−	0.537019i	0.607508	−	0.794313i	$-0.292169\pi$
$821$	−10.2814	−	15.3873i	−0.358825	−	0.537019i	−0.966333	+	0.257294i	$0.917169\pi$
$822$	19.9604	−	29.8728i	0.696199	−	1.04194i
$823$	52.9993	−	10.5422i	1.84744	−	0.367479i	0.858144	−	0.513409i	$-0.171617\pi$
$823$	52.9993	−	10.5422i	1.84744	−	0.367479i	0.989295	+	0.145930i	$0.0466174\pi$
$824$	−8.94117	−	3.70355i	−0.311480	−	0.129019i
$825$	30.9966	+	4.00184i	1.07916	+	0.139326i
$826$	−0.331538	−	0.221527i	−0.0115357	−	0.00770790i
$827$	30.5755	+	20.4299i	1.06321	+	0.710417i	0.958790	−	0.284116i	$-0.0917000\pi$
$827$	30.5755	+	20.4299i	1.06321	+	0.710417i	0.104424	+	0.994533i	$0.466700\pi$
$828$	−24.9135	−	4.95561i	−0.865805	−	0.172219i
$829$	−28.6987	+	28.6987i	−0.996748	+	0.996748i	−0.999995	−	0.00324645i	$-0.998967\pi$
$829$	−28.6987	+	28.6987i	−0.996748	+	0.996748i	0.00324645	+	0.999995i	$0.498967\pi$
$830$	−35.7762	+	12.1944i	−1.24181	+	0.423273i
$831$	−9.97852	−	24.0903i	−0.346151	−	0.835683i
$832$	−1.53472	−	1.53472i	−0.0532070	−	0.0532070i
$833$	−15.4023	+	24.3998i	−0.533658	+	0.845403i
$834$		−	10.8051i		−	0.374148i
$835$	7.34682	−	0.976587i	0.254247	−	0.0337962i
$836$	8.94804	+	1.77988i	0.309474	+	0.0615583i
$837$			1.66599i			0.0575849i
$838$	−4.67816	+	23.5187i	−0.161604	+	0.812441i
$839$	−0.974657	−	4.89993i	−0.0336489	−	0.169164i	0.960307	−	0.278946i	$-0.0899850\pi$
$839$	−0.974657	−	4.89993i	−0.0336489	−	0.169164i	−0.993956	+	0.109781i	$0.964985\pi$
$840$	0.158687	+	0.180491i	0.00547521	+	0.00622754i
$841$	−16.6797	+	40.2684i	−0.575162	+	1.38857i
$842$	9.97100	−	4.13012i	0.343623	−	0.142333i
$843$	−4.31556	−	21.6958i	−0.148636	−	0.747242i
$844$	13.0195	−	2.58974i	0.448150	−	0.0891425i
$845$	8.17714	−	16.6341i	0.281302	−	0.572230i
$846$	−10.4211	−	10.4211i	−0.358284	−	0.358284i
$847$	−0.117609	−	0.176014i	−0.00404108	−	0.00604791i
$848$	−2.01791	+	4.87166i	−0.0692952	+	0.167293i
$849$	17.9259			0.615215
$850$	13.1460	−	15.8803i	0.450903	−	0.544689i
$851$	52.3788			1.79552
$852$	5.22624	−	12.6173i	0.179048	−	0.432260i
$853$	−23.1394	−	34.6305i	−0.792276	−	1.18573i	−0.979109	−	0.203334i	$-0.934822\pi$
$853$	−23.1394	−	34.6305i	−0.792276	−	1.18573i	0.186833	−	0.982392i	$-0.440178\pi$
$854$	−0.209461	−	0.209461i	−0.00716762	−	0.00716762i
$855$	−13.1350	+	26.7195i	−0.449209	+	0.913787i
$856$	−0.749949	+	0.149174i	−0.0256327	+	0.00509867i
$857$	8.86461	+	44.5654i	0.302809	+	1.52233i	0.769928	+	0.638131i	$0.220292\pi$
$857$	8.86461	+	44.5654i	0.302809	+	1.52233i	−0.467119	+	0.884195i	$0.654708\pi$
$858$	12.5341	−	5.19181i	0.427908	−	0.177245i
$859$	−14.4334	+	34.8453i	−0.492461	+	1.18891i	0.461003	+	0.887399i	$0.347490\pi$
$859$	−14.4334	+	34.8453i	−0.492461	+	1.18891i	−0.953464	+	0.301507i	$0.902510\pi$
$860$	−13.3796	−	15.2181i	−0.456242	−	0.518932i
$861$	−0.0151218	−	0.0760222i	−0.000515348	−	0.00259083i
$862$	−1.91808	+	9.64284i	−0.0653300	+	0.328436i
$863$		−	38.0573i		−	1.29548i	−0.761860	−	0.647742i	$-0.775713\pi$
$863$		−	38.0573i		−	1.29548i	0.761860	−	0.647742i	$-0.224287\pi$
$864$	−1.41050	−	0.280566i	−0.0479861	−	0.00954503i
$865$	−52.5688	+	6.98778i	−1.78739	+	0.237592i
$866$			1.05577i			0.0358764i
$867$	42.2106	−	10.7013i	1.43355	−	0.363434i
$868$	0.0343702	+	0.0343702i	0.00116660	+	0.00116660i
$869$	6.70408	+	16.1851i	0.227420	+	0.549041i
$870$	−46.1896	+	15.7438i	−1.56597	+	0.533764i
$871$	−23.9358	+	23.9358i	−0.811035	+	0.811035i
$872$	−10.3794	−	2.06460i	−0.351492	−	0.0699160i
$873$	−12.1520	−	8.11969i	−0.411282	−	0.274810i
$874$	−22.1719	−	14.8148i	−0.749975	−	0.501117i
$875$	0.181149	+	0.432728i	0.00612395	+	0.0146289i
$876$	27.0025	+	11.1848i	0.912329	+	0.377899i
$877$	43.8714	−	8.72656i	1.48143	−	0.294675i	0.612841	−	0.790206i	$-0.290026\pi$
$877$	43.8714	−	8.72656i	1.48143	−	0.294675i	0.868590	+	0.495531i	$0.165026\pi$
$878$	0.975040	−	1.45925i	0.0329060	−	0.0492473i
$879$	47.0368	+	70.3955i	1.58651	+	2.37438i
$880$	−1.40566	+	5.27240i	−0.0473849	+	0.177733i
$881$	−4.31320	+	21.6839i	−0.145315	+	0.730549i	0.837570	+	0.546330i	$0.183976\pi$
$881$	−4.31320	+	21.6839i	−0.145315	+	0.730549i	−0.982885	+	0.184219i	$0.941024\pi$
$882$	23.0266	+	9.53791i	0.775345	+	0.321158i
$883$	−0.609859	+	0.609859i	−0.0205234	+	0.0205234i	−0.717294	−	0.696771i	$-0.754620\pi$
$883$	−0.609859	+	0.609859i	−0.0205234	+	0.0205234i	0.696771	+	0.717294i	$0.254620\pi$
$884$	1.51734	−	8.81932i	0.0510337	−	0.296626i
$885$	52.5941	+	14.0220i	1.76793	+	0.471344i
$886$	22.7978	−	9.44317i	0.765908	−	0.317250i
$887$	−2.66994	+	1.78400i	−0.0896479	+	0.0599008i	−0.599586	−	0.800310i	$-0.704668\pi$
$887$	−2.66994	+	1.78400i	−0.0896479	+	0.0599008i	0.509938	+	0.860211i	$0.329668\pi$
$888$	18.8113			0.631265
$889$	0.465595	−	0.311101i	0.0156156	−	0.0104340i
$890$	−2.34266	+	36.4411i	−0.0785261	+	1.22151i
$891$	−9.49077	+	14.2039i	−0.317953	+	0.475850i
$892$	5.54308	+	13.3822i	0.185596	+	0.448069i
$893$	−5.92054	−	14.2934i	−0.198123	−	0.478312i
$894$	1.53821	−	2.30210i	0.0514455	−	0.0769936i
$895$	−4.14833	−	4.71834i	−0.138663	−	0.157717i
$896$	−0.0348875	+	0.0233111i	−0.00116551	+	0.000778769i
$897$	−39.6535			−1.32399
$898$	3.28010	−	2.19169i	0.109458	−	0.0731376i
$899$	−9.11833	+	3.77694i	−0.304113	+	0.125968i
$900$	−15.4437	−	8.86494i	−0.514790	−	0.295498i
$901$	−21.2062	+	4.79380i	−0.706482	+	0.159705i
$902$	1.24441	−	1.24441i	0.0414342	−	0.0414342i
$903$	0.899841	+	0.372726i	0.0299448	+	0.0124036i
$904$	1.18813	−	5.97314i	0.0395166	−	0.198664i
$905$	−23.5323	−	6.27389i	−0.782240	−	0.208551i
$906$	18.4983	+	27.6847i	0.614565	+	0.919762i
$907$	5.11012	−	7.64783i	0.169679	−	0.253942i	−0.736878	−	0.676025i	$-0.763701\pi$
$907$	5.11012	−	7.64783i	0.169679	−	0.253942i	0.906557	+	0.422083i	$0.138701\pi$
$908$	28.6593	−	5.70070i	0.951093	−	0.189184i
$909$	−4.10075	−	1.69858i	−0.136013	−	0.0563385i
$910$	0.161710	+	0.123763i	0.00536064	+	0.00410271i
$911$	−4.16596	−	2.78361i	−0.138025	−	0.0922250i	0.484641	−	0.874713i	$-0.338950\pi$
$911$	−4.16596	−	2.78361i	−0.138025	−	0.0922250i	−0.622666	+	0.782488i	$0.713950\pi$
$912$	−7.96279	−	5.32057i	−0.263674	−	0.176182i
$913$	40.4562	+	8.04723i	1.33890	+	0.266325i
$914$	14.2400	−	14.2400i	0.471018	−	0.471018i
$915$	36.2893	+	17.8394i	1.19969	+	0.589754i
$916$	3.66265	+	8.84241i	0.121017	+	0.292162i
$917$	0.105172	+	0.105172i	0.00347310	+	0.00347310i
$918$	−2.41064	−	5.41744i	−0.0795628	−	0.178802i
$919$			51.6686i			1.70439i	0.523223	+	0.852196i	$0.324729\pi$
$919$			51.6686i			1.70439i	−0.523223	+	0.852196i	$0.675271\pi$
$920$	9.69302	−	12.6650i	0.319569	−	0.417552i
$921$	−8.53312	−	1.69734i	−0.281176	−	0.0559293i
$922$			15.1918i			0.500315i
$923$	2.25752	−	11.3493i	0.0743071	−	0.373567i
$924$	−0.0511674	−	0.257236i	−0.00168328	−	0.00846243i
$925$	34.7996	+	11.7158i	1.14420	+	0.385212i
$926$	1.83336	−	4.42611i	0.0602478	−	0.145451i
$927$	−31.8434	+	13.1900i	−1.04587	+	0.433215i
$928$	−1.66212	−	8.35605i	−0.0545618	−	0.274301i
$929$	−13.5019	+	2.68570i	−0.442984	+	0.0881151i	−0.411543	−	0.911391i	$-0.635010\pi$
$929$	−13.5019	+	2.68570i	−0.442984	+	0.0881151i	−0.0314417	+	0.999506i	$0.510010\pi$
$930$	−5.95465	−	2.92724i	−0.195261	−	0.0959881i
$931$	18.5009	+	18.5009i	0.606343	+	0.606343i
$932$	−1.83402	−	2.74480i	−0.0600753	−	0.0899090i
$933$	−20.7006	+	49.9756i	−0.677706	+	1.63613i
$934$	15.2661			0.499523
$935$	−21.0993	+	7.80893i	−0.690021	+	0.255379i
$936$	−7.72983			−0.252657
$937$	−4.15139	+	10.0223i	−0.135620	+	0.327415i	−0.977070	−	0.212920i	$-0.931703\pi$
$937$	−4.15139	+	10.0223i	−0.135620	+	0.327415i	0.841450	+	0.540335i	$0.181703\pi$
$938$	0.363564	+	0.544112i	0.0118708	+	0.0177659i
$939$	−59.4531	−	59.4531i	−1.94018	−	1.94018i
$940$	8.75830	−	2.98528i	0.285664	−	0.0973690i
$941$	−40.0808	+	7.97257i	−1.30660	+	0.259898i	−0.798809	−	0.601584i	$-0.794536\pi$
$941$	−40.0808	+	7.97257i	−1.30660	+	0.259898i	−0.507787	+	0.861482i	$0.669536\pi$
$942$	−3.49195	−	17.5552i	−0.113774	−	0.571979i
$943$	−4.75221	+	1.96843i	−0.154753	+	0.0641009i
$944$	−3.63666	+	8.77968i	−0.118363	+	0.285754i
$945$	0.134652	+	0.00865624i	0.00438022	+	0.000281588i
$946$	4.31417	+	21.6888i	0.140266	+	0.705163i
$947$	−3.59735	+	18.0851i	−0.116898	+	0.587686i	0.877284	+	0.479972i	$0.159353\pi$
$947$	−3.59735	+	18.0851i	−0.116898	+	0.587686i	−0.994182	+	0.107714i	$0.965647\pi$
$948$		−	18.3893i		−	0.597256i
$949$	24.2889	+	4.83136i	0.788451	+	0.156833i
$950$	−11.4170	−	14.8020i	−0.370415	−	0.480240i
$951$		−	80.0342i		−	2.59529i
$952$	−0.161497	−	0.0620318i	−0.00523415	−	0.00201046i
$953$	19.5626	+	19.5626i	0.633696	+	0.633696i	0.948993	−	0.315297i	$-0.102104\pi$
$953$	19.5626	+	19.5626i	0.633696	+	0.633696i	−0.315297	+	0.948993i	$0.602104\pi$
$954$	7.18664	+	17.3501i	0.232676	+	0.561730i
$955$	13.8026	+	40.4944i	0.446640	+	1.31037i
$956$	2.29875	−	2.29875i	0.0743470	−	0.0743470i
$957$	52.2317	+	10.3895i	1.68841	+	0.335846i
$958$	17.9387	+	11.9863i	0.579575	+	0.387259i
$959$	−0.489329	−	0.326959i	−0.0158013	−	0.0105581i
$960$	3.48114	−	4.54850i	0.112353	−	0.146802i
$961$	27.4004	+	11.3496i	0.883885	+	0.366117i
$962$	15.6328	−	3.10957i	0.504023	−	0.100256i
$963$	−1.51294	+	2.26427i	−0.0487538	+	0.0729652i
$964$	−3.70401	−	5.54345i	−0.119298	−	0.178542i
$965$	−1.70723	+	0.988519i	−0.0549575	+	0.0318216i
$966$	−0.149553	+	0.751854i	−0.00481179	+	0.0241905i
$967$	−40.2397	−	16.6678i	−1.29402	−	0.536001i	−0.373840	−	0.927493i	$-0.621959\pi$
$967$	−40.2397	−	16.6678i	−1.29402	−	0.536001i	−0.920181	+	0.391492i	$0.871959\pi$
$968$	−3.56748	+	3.56748i	−0.114663	+	0.114663i
$969$	−1.02534	−	39.4727i	−0.0329387	−	1.26805i
$970$	7.94103	−	4.59802i	0.254971	−	0.147634i
$971$	−29.2585	+	12.1193i	−0.938949	+	0.388925i	−0.799066	−	0.601243i	$-0.794672\pi$
$971$	−29.2585	+	12.1193i	−0.938949	+	0.388925i	−0.139882	+	0.990168i	$0.544672\pi$
$972$	18.4972	−	12.3594i	0.593297	−	0.396428i
$973$	−0.176991			−0.00567407
$974$	−16.3758	+	10.9420i	−0.524716	+	0.350604i
$975$	−26.3451	−	8.86945i	−0.843719	−	0.284050i
$976$	−3.92224	+	5.87005i	−0.125548	+	0.187896i
$977$	−5.76484	−	13.9175i	−0.184433	−	0.445262i	0.804438	−	0.594037i	$-0.202467\pi$
$977$	−5.76484	−	13.9175i	−0.184433	−	0.445262i	−0.988871	+	0.148775i	$0.952467\pi$
$978$	−10.6635	−	25.7440i	−0.340982	−	0.823202i
$979$	22.1399	−	33.1347i	0.707593	−	1.05899i
$980$	−11.7523	+	10.3325i	−0.375412	+	0.330060i
$981$	−31.3380	+	20.9394i	−1.00054	+	0.668542i
$982$	−10.9171			−0.348379
$983$	−3.97842	+	2.65830i	−0.126892	+	0.0847865i	−0.617396	−	0.786652i	$-0.711813\pi$
$983$	−3.97842	+	2.65830i	−0.126892	+	0.0847865i	0.490504	+	0.871439i	$0.336813\pi$
$984$	−1.70670	+	0.706940i	−0.0544077	+	0.0225364i
$985$	−5.81264	+	21.8022i	−0.185206	+	0.694677i
$986$	24.1858	−	25.4758i	0.770231	−	0.811313i
$987$	−0.314492	+	0.314492i	−0.0100104	+	0.0100104i
$988$	−7.49687	−	3.10531i	−0.238507	−	0.0987930i
$989$	12.6095	−	63.3925i	0.400960	−	2.01576i
$990$	9.73766	+	16.8175i	0.309483	+	0.534494i
$991$	−28.3664	−	42.4533i	−0.901089	−	1.34857i	−0.937040	−	0.349221i	$-0.886446\pi$
$991$	−28.3664	−	42.4533i	−0.901089	−	1.34857i	0.0359517	−	0.999354i	$-0.488554\pi$
$992$	0.643594	−	0.963206i	0.0204341	−	0.0305818i
$993$	−24.6642	+	4.90601i	−0.782693	+	0.155687i
$994$	−0.206676	−	0.0856079i	−0.00655535	−	0.00271532i
$995$	0.489653	−	0.0650878i	0.0155230	−	0.00206342i
$996$	−36.0016	−	24.0555i	−1.14076	−	0.762229i
$997$	−29.8110	−	19.9191i	−0.944124	−	0.630843i	−0.0147136	−	0.999892i	$-0.504684\pi$
$997$	−29.8110	−	19.9191i	−0.944124	−	0.630843i	−0.929410	+	0.369048i	$0.879684\pi$
$998$	10.3170	+	2.05219i	0.326580	+	0.0649608i
$999$	7.46797	−	7.46797i	0.236276	−	0.236276i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	170.2.o.b.3.5	✓	40
5.2	odd	4		170.2.r.b.37.5	yes	40
5.3	odd	4		850.2.v.d.207.1		40
5.4	even	2		850.2.s.d.343.1		40
17.6	odd	16		170.2.r.b.23.5	yes	40
85.23	even	16		850.2.s.d.57.1		40
85.57	even	16	inner	170.2.o.b.57.5	yes	40
85.74	odd	16		850.2.v.d.193.1		40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
170.2.o.b.3.5	✓	40	1.1	even	1	trivial
170.2.o.b.57.5	yes	40	85.57	even	16	inner
170.2.r.b.23.5	yes	40	17.6	odd	16
170.2.r.b.37.5	yes	40	5.2	odd	4
850.2.s.d.57.1		40	85.23	even	16
850.2.s.d.343.1		40	5.4	even	2
850.2.v.d.193.1		40	85.74	odd	16
850.2.v.d.207.1		40	5.3	odd	4

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:	\( N \)	\(=\)	\( 170 = 2 \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	170.o (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.382683 - 0.923880i) q^{2} +(1.42311 + 2.12983i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(0.986476 - 2.00671i) q^{5} +(2.51231 - 0.499730i) q^{6} +(-0.00818577 - 0.0411526i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(-1.36290 + 3.29034i) q^{9} +O(q^{10})\)	\(q+(0.382683 - 0.923880i) q^{2} +(1.42311 + 2.12983i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(0.986476 - 2.00671i) q^{5} +(2.51231 - 0.499730i) q^{6} +(-0.00818577 - 0.0411526i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(-1.36290 + 3.29034i) q^{9} +(-1.47645 - 1.67932i) q^{10} +(0.476069 + 2.39336i) q^{11} +(0.499730 - 2.51231i) q^{12} -2.17043i q^{13} +(-0.0411526 - 0.00818577i) q^{14} +(5.67781 - 0.754731i) q^{15} +1.00000i q^{16} +(-3.36760 + 2.37892i) q^{17} +(2.51831 + 2.51831i) q^{18} +(1.43074 + 3.45410i) q^{19} +(-2.11650 + 0.721411i) q^{20} +(0.0759990 - 0.0759990i) q^{21} +(2.39336 + 0.476069i) q^{22} +(-5.93039 - 3.96256i) q^{23} +(-2.12983 - 1.42311i) q^{24} +(-3.05373 - 3.95913i) q^{25} +(-2.00521 - 0.830586i) q^{26} +(-1.41050 + 0.280566i) q^{27} +(-0.0233111 + 0.0348875i) q^{28} +(-4.73332 - 7.08392i) q^{29} +(1.47552 - 5.53444i) q^{30} +(0.226000 - 1.13618i) q^{31} +(0.923880 + 0.382683i) q^{32} +(-4.41996 + 4.41996i) q^{33} +(0.909115 + 4.02163i) q^{34} +(-0.0906563 - 0.0241697i) q^{35} +(3.29034 - 1.36290i) q^{36} +(-6.10612 + 4.07998i) q^{37} +3.73869 q^{38} +(4.62265 - 3.08876i) q^{39} +(-0.143452 + 2.23146i) q^{40} +(0.400666 - 0.599639i) q^{41} +(-0.0411304 - 0.0992975i) q^{42} +(3.46790 + 8.37226i) q^{43} +(1.35573 - 2.02899i) q^{44} +(5.25826 + 5.98078i) q^{45} +(-5.93039 + 3.96256i) q^{46} -4.13811 q^{47} +(-2.12983 + 1.42311i) q^{48} +(6.46553 - 2.67811i) q^{49} +(-4.82637 + 1.30618i) q^{50} +(-9.85918 - 3.78696i) q^{51} +(-1.53472 + 1.53472i) q^{52} +(4.87166 + 2.01791i) q^{53} +(-0.280566 + 1.41050i) q^{54} +(5.27240 + 1.40566i) q^{55} +(0.0233111 + 0.0348875i) q^{56} +(-5.32057 + 7.96279i) q^{57} +(-8.35605 + 1.66212i) q^{58} +(8.77968 + 3.63666i) q^{59} +(-4.54850 - 3.48114i) q^{60} +(5.87005 + 3.92224i) q^{61} +(-0.963206 - 0.643594i) q^{62} +(0.146562 + 0.0291531i) q^{63} +(0.707107 - 0.707107i) q^{64} +(-4.35541 - 2.14107i) q^{65} +(2.39207 + 5.77496i) q^{66} +(-11.0282 - 11.0282i) q^{67} +(4.06341 + 0.699099i) q^{68} -18.2699i q^{69} +(-0.0570225 + 0.0745061i) q^{70} +(5.22907 + 1.04013i) q^{71} -3.56143i q^{72} +(-2.22600 + 11.1908i) q^{73} +(1.43270 + 7.20266i) q^{74} +(4.08650 - 12.1382i) q^{75} +(1.43074 - 3.45410i) q^{76} +(0.0945961 - 0.0391830i) q^{77} +(-1.08463 - 5.45279i) q^{78} +(7.04108 - 1.40056i) q^{79} +(2.00671 + 0.986476i) q^{80} +(4.95009 + 4.95009i) q^{81} +(-0.400666 - 0.599639i) q^{82} +(6.46869 - 15.6168i) q^{83} -0.107479 q^{84} +(1.45174 + 9.10453i) q^{85} +9.06206 q^{86} +(8.35153 - 20.1624i) q^{87} +(-1.35573 - 2.02899i) q^{88} +(-11.5475 - 11.5475i) q^{89} +(7.53777 - 2.56926i) q^{90} +(-0.0893188 + 0.0177666i) q^{91} +(1.39147 + 6.99537i) q^{92} +(2.74150 - 1.13557i) q^{93} +(-1.58359 + 3.82312i) q^{94} +(8.34275 + 0.536323i) q^{95} +(0.499730 + 2.51231i) q^{96} +(-0.800592 + 4.02485i) q^{97} -6.99824i q^{98} +(-8.52380 - 1.69549i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q+O(q^{10}) \) 40 * q	\( 40 q + 8 q^{10} - 8 q^{15} - 16 q^{18} - 16 q^{20} - 8 q^{25} - 8 q^{26} + 24 q^{27} + 8 q^{28} - 8 q^{29} - 16 q^{31} + 32 q^{33} - 8 q^{34} - 32 q^{35} + 16 q^{37} + 32 q^{39} + 8 q^{40} - 56 q^{41} - 8 q^{42} - 48 q^{43} - 16 q^{44} - 24 q^{45} - 96 q^{47} - 16 q^{49} - 32 q^{51} - 16 q^{52} - 40 q^{53} + 24 q^{54} + 8 q^{55} - 8 q^{56} - 8 q^{57} + 16 q^{58} + 24 q^{61} - 24 q^{62} - 24 q^{63} + 16 q^{65} - 16 q^{67} + 24 q^{68} + 8 q^{70} + 24 q^{71} + 16 q^{73} - 32 q^{74} + 184 q^{75} + 40 q^{77} + 16 q^{78} + 104 q^{79} + 8 q^{80} + 48 q^{81} + 56 q^{82} + 16 q^{83} - 8 q^{85} + 96 q^{86} - 8 q^{87} + 16 q^{88} + 16 q^{89} + 40 q^{90} + 48 q^{91} + 8 q^{92} + 136 q^{93} + 8 q^{94} + 8 q^{95} + 144 q^{97} - 160 q^{99}+O(q^{100}) \) 40 * q + 8 * q^10 - 8 * q^15 - 16 * q^18 - 16 * q^20 - 8 * q^25 - 8 * q^26 + 24 * q^27 + 8 * q^28 - 8 * q^29 - 16 * q^31 + 32 * q^33 - 8 * q^34 - 32 * q^35 + 16 * q^37 + 32 * q^39 + 8 * q^40 - 56 * q^41 - 8 * q^42 - 48 * q^43 - 16 * q^44 - 24 * q^45 - 96 * q^47 - 16 * q^49 - 32 * q^51 - 16 * q^52 - 40 * q^53 + 24 * q^54 + 8 * q^55 - 8 * q^56 - 8 * q^57 + 16 * q^58 + 24 * q^61 - 24 * q^62 - 24 * q^63 + 16 * q^65 - 16 * q^67 + 24 * q^68 + 8 * q^70 + 24 * q^71 + 16 * q^73 - 32 * q^74 + 184 * q^75 + 40 * q^77 + 16 * q^78 + 104 * q^79 + 8 * q^80 + 48 * q^81 + 56 * q^82 + 16 * q^83 - 8 * q^85 + 96 * q^86 - 8 * q^87 + 16 * q^88 + 16 * q^89 + 40 * q^90 + 48 * q^91 + 8 * q^92 + 136 * q^93 + 8 * q^94 + 8 * q^95 + 144 * q^97 - 160 * q^99

Introduction

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