LMFDB - Embedded newform 170.2.o.b.27.4

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			27.4
Character	$\chi$	$=$	170.27
Dual form			170.2.o.b.63.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.923880 + 0.382683i) q^{2} +(1.87274 - 0.372511i) q^{3} +(0.707107 - 0.707107i) q^{4} +(2.15442 - 0.598743i) q^{5} +(-1.58763 + 1.06082i) q^{6} +(-0.622065 - 0.930986i) q^{7} +(-0.382683 + 0.923880i) q^{8} +(0.596748 - 0.247181i) q^{9} +O(q^{10})$	\(q+(-0.923880 + 0.382683i) q^{2} +(1.87274 - 0.372511i) q^{3} +(0.707107 - 0.707107i) q^{4} +(2.15442 - 0.598743i) q^{5} +(-1.58763 + 1.06082i) q^{6} +(-0.622065 - 0.930986i) q^{7} +(-0.382683 + 0.923880i) q^{8} +(0.596748 - 0.247181i) q^{9} +(-1.76129 + 1.37763i) q^{10} +(-1.86658 - 2.79353i) q^{11} +(1.06082 - 1.58763i) q^{12} +1.47498i q^{13} +(0.930986 + 0.622065i) q^{14} +(3.81162 - 1.92383i) q^{15} -1.00000i q^{16} +(-1.32816 + 3.90333i) q^{17} +(-0.456731 + 0.456731i) q^{18} +(4.07173 + 1.68657i) q^{19} +(1.10003 - 1.94678i) q^{20} +(-1.51177 - 1.51177i) q^{21} +(2.79353 + 1.86658i) q^{22} +(-0.581487 + 2.92333i) q^{23} +(-0.372511 + 1.87274i) q^{24} +(4.28301 - 2.57988i) q^{25} +(-0.564452 - 1.36271i) q^{26} +(-3.73742 + 2.49726i) q^{27} +(-1.09817 - 0.218440i) q^{28} +(-3.34034 + 0.664436i) q^{29} +(-2.78526 + 3.23603i) q^{30} +(2.94997 - 4.41494i) q^{31} +(0.382683 + 0.923880i) q^{32} +(-4.53624 - 4.53624i) q^{33} +(-0.266683 - 4.11447i) q^{34} +(-1.89761 - 1.63327i) q^{35} +(0.247181 - 0.596748i) q^{36} +(1.64857 + 8.28790i) q^{37} -4.40721 q^{38} +(0.549448 + 2.76226i) q^{39} +(-0.271292 + 2.21955i) q^{40} +(-10.6198 - 2.11241i) q^{41} +(1.97522 + 0.818163i) q^{42} +(-6.16087 - 2.55191i) q^{43} +(-3.29520 - 0.655456i) q^{44} +(1.13765 - 0.889830i) q^{45} +(-0.581487 - 2.92333i) q^{46} -6.49819 q^{47} +(-0.372511 - 1.87274i) q^{48} +(2.19901 - 5.30889i) q^{49} +(-2.96971 + 4.02254i) q^{50} +(-1.03326 + 7.80467i) q^{51} +(1.04297 + 1.04297i) q^{52} +(2.17392 + 5.24831i) q^{53} +(2.49726 - 3.73742i) q^{54} +(-5.69400 - 4.90083i) q^{55} +(1.09817 - 0.218440i) q^{56} +(8.25356 + 1.64173i) q^{57} +(2.83181 - 1.89215i) q^{58} +(-0.784600 - 1.89419i) q^{59} +(1.33487 - 4.05558i) q^{60} +(0.266612 - 1.34035i) q^{61} +(-1.03589 + 5.20778i) q^{62} +(-0.601338 - 0.401801i) q^{63} +(-0.707107 - 0.707107i) q^{64} +(0.883137 + 3.17773i) q^{65} +(5.92688 + 2.45499i) q^{66} +(7.14013 - 7.14013i) q^{67} +(1.82092 + 3.69922i) q^{68} +5.69125i q^{69} +(2.37819 + 0.782765i) q^{70} +(1.30903 + 0.874669i) q^{71} +0.645915i q^{72} +(-7.04265 + 10.5401i) q^{73} +(-4.69472 - 7.02615i) q^{74} +(7.05993 - 6.42692i) q^{75} +(4.07173 - 1.68657i) q^{76} +(-1.43961 + 3.47552i) q^{77} +(-1.56469 - 2.34173i) q^{78} +(6.00351 - 4.01142i) q^{79} +(-0.598743 - 2.15442i) q^{80} +(-7.43914 + 7.43914i) q^{81} +(10.6198 - 2.11241i) q^{82} +(11.8159 - 4.89429i) q^{83} -2.13796 q^{84} +(-0.524309 + 9.20462i) q^{85} +6.66847 q^{86} +(-6.00808 + 2.48863i) q^{87} +(3.29520 - 0.655456i) q^{88} +(5.20222 - 5.20222i) q^{89} +(-0.710524 + 1.25745i) q^{90} +(1.37319 - 0.917536i) q^{91} +(1.65593 + 2.47828i) q^{92} +(3.87991 - 9.36692i) q^{93} +(6.00354 - 2.48675i) q^{94} +(9.78202 + 1.19564i) q^{95} +(1.06082 + 1.58763i) q^{96} +(5.44087 - 8.14284i) q^{97} +5.74630i q^{98} +(-1.80439 - 1.20565i) 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 $\left(\mathbb{Z}/170\mathbb{Z}\right)^\times$.

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

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 $

$2$	−0.923880	+	0.382683i	−0.653281	+	0.270598i
$2$	−0.923880	+	0.382683i	−0.653281	+	0.270598i
$3$	1.87274	−	0.372511i	1.08123	−	0.215069i	0.377836	−	0.925873i	$-0.376668\pi$
$3$	1.87274	−	0.372511i	1.08123	−	0.215069i	0.703391	+	0.710803i	$0.251668\pi$
$4$	0.707107	−	0.707107i	0.353553	−	0.353553i
$5$	2.15442	−	0.598743i	0.963484	−	0.267766i
$5$	2.15442	−	0.598743i	0.963484	−	0.267766i
$6$	−1.58763	+	1.06082i	−0.648148	+	0.433079i
$7$	−0.622065	−	0.930986i	−0.235118	−	0.351880i	0.695083	−	0.718930i	$-0.255368\pi$
$7$	−0.622065	−	0.930986i	−0.235118	−	0.351880i	−0.930201	+	0.367050i	$0.880368\pi$
$8$	−0.382683	+	0.923880i	−0.135299	+	0.326641i
$9$	0.596748	−	0.247181i	0.198916	−	0.0823937i
$10$	−1.76129	+	1.37763i	−0.556969	+	0.435644i
$11$	−1.86658	−	2.79353i	−0.562795	−	0.842282i	0.435528	−	0.900175i	$-0.356562\pi$
$11$	−1.86658	−	2.79353i	−0.562795	−	0.842282i	−0.998323	+	0.0578930i	$0.981562\pi$
$12$	1.06082	−	1.58763i	0.306233	−	0.458310i
$13$			1.47498i			0.409087i	0.978857	+	0.204543i	$0.0655710\pi$
$13$			1.47498i			0.409087i	−0.978857	+	0.204543i	$0.934429\pi$
$14$	0.930986	+	0.622065i	0.248816	+	0.166254i
$15$	3.81162	−	1.92383i	0.984156	−	0.496732i
$16$		−	1.00000i		−	0.250000i
$17$	−1.32816	+	3.90333i	−0.322125	+	0.946697i
$17$	−1.32816	+	3.90333i	−0.322125	+	0.946697i
$18$	−0.456731	+	0.456731i	−0.107653	+	0.107653i
$19$	4.07173	+	1.68657i	0.934119	+	0.386925i	0.797240	−	0.603663i	$-0.206293\pi$
$19$	4.07173	+	1.68657i	0.934119	+	0.386925i	0.136880	+	0.990588i	$0.456293\pi$
$20$	1.10003	−	1.94678i	0.245973	−	0.435313i
$21$	−1.51177	−	1.51177i	−0.329895	−	0.329895i
$22$	2.79353	+	1.86658i	0.595583	+	0.397956i
$23$	−0.581487	+	2.92333i	−0.121248	+	0.609557i	0.871604	+	0.490210i	$0.163080\pi$
$23$	−0.581487	+	2.92333i	−0.121248	+	0.609557i	−0.992853	+	0.119347i	$0.961920\pi$
$24$	−0.372511	+	1.87274i	−0.0760385	+	0.382271i
$25$	4.28301	−	2.57988i	0.856603	−	0.515977i
$26$	−0.564452	−	1.36271i	−0.110698	−	0.267249i
$27$	−3.73742	+	2.49726i	−0.719267	+	0.480599i
$28$	−1.09817	−	0.218440i	−0.207535	−	0.0412813i
$29$	−3.34034	+	0.664436i	−0.620286	+	0.123383i	−0.495223	−	0.868766i	$-0.664914\pi$
$29$	−3.34034	+	0.664436i	−0.620286	+	0.123383i	−0.125064	+	0.992149i	$0.539914\pi$
$30$	−2.78526	+	3.23603i	−0.508516	+	0.590816i
$31$	2.94997	−	4.41494i	0.529830	−	0.792947i	−0.465941	−	0.884816i	$-0.654284\pi$
$31$	2.94997	−	4.41494i	0.529830	−	0.792947i	0.995771	+	0.0918692i	$0.0292842\pi$
$32$	0.382683	+	0.923880i	0.0676495	+	0.163320i
$33$	−4.53624	−	4.53624i	−0.789658	−	0.789658i
$34$	−0.266683	−	4.11447i	−0.0457357	−	0.705626i
$35$	−1.89761	−	1.63327i	−0.320754	−	0.276074i
$36$	0.247181	−	0.596748i	0.0411968	−	0.0994580i
$37$	1.64857	+	8.28790i	0.271023	+	1.36252i	0.841077	+	0.540916i	$0.181922\pi$
$37$	1.64857	+	8.28790i	0.271023	+	1.36252i	−0.570054	+	0.821607i	$0.693078\pi$
$38$	−4.40721			−0.714944
$39$	0.549448	+	2.76226i	0.0879820	+	0.442316i
$40$	−0.271292	+	2.21955i	−0.0428951	+	0.350942i
$41$	−10.6198	−	2.11241i	−1.65853	−	0.329902i	−0.725096	−	0.688648i	$-0.758205\pi$
$41$	−10.6198	−	2.11241i	−1.65853	−	0.329902i	−0.933435	+	0.358746i	$0.883205\pi$
$42$	1.97522	+	0.818163i	0.304783	+	0.126245i
$43$	−6.16087	−	2.55191i	−0.939523	−	0.389163i	−0.140240	−	0.990118i	$-0.544787\pi$
$43$	−6.16087	−	2.55191i	−0.939523	−	0.389163i	−0.799283	+	0.600954i	$0.794787\pi$
$44$	−3.29520	−	0.655456i	−0.496770	−	0.0988137i
$45$	1.13765	−	0.889830i	0.169590	−	0.132648i
$46$	−0.581487	−	2.92333i	−0.0857355	−	0.431022i
$47$	−6.49819			−0.947858			−0.473929	−	0.880563i	$-0.657165\pi$
$47$	−6.49819			−0.947858			−0.473929	+	0.880563i	$0.657165\pi$
$48$	−0.372511	−	1.87274i	−0.0537673	−	0.270307i
$49$	2.19901	−	5.30889i	0.314145	−	0.758413i
$50$	−2.96971	+	4.02254i	−0.419980	+	0.568873i
$51$	−1.03326	+	7.80467i	−0.144685	+	1.09287i
$52$	1.04297	+	1.04297i	0.144634	+	0.144634i
$53$	2.17392	+	5.24831i	0.298611	+	0.720910i	0.999967	+	0.00809955i	$0.00257820\pi$
$53$	2.17392	+	5.24831i	0.298611	+	0.720910i	−0.701356	+	0.712811i	$0.747422\pi$
$54$	2.49726	−	3.73742i	0.339834	−	0.508598i
$55$	−5.69400	−	4.90083i	−0.767779	−	0.660828i
$56$	1.09817	−	0.218440i	0.146749	−	0.0291903i
$57$	8.25356	+	1.64173i	1.09321	+	0.217453i
$58$	2.83181	−	1.89215i	0.371834	−	0.248452i
$59$	−0.784600	−	1.89419i	−0.102146	−	0.246603i	0.864542	−	0.502561i	$-0.167609\pi$
$59$	−0.784600	−	1.89419i	−0.102146	−	0.246603i	−0.966688	+	0.255959i	$0.917609\pi$
$60$	1.33487	−	4.05558i	0.172330	−	0.523573i
$61$	0.266612	−	1.34035i	0.0341362	−	0.171614i	−0.959956	−	0.280149i	$-0.909616\pi$
$61$	0.266612	−	1.34035i	0.0341362	−	0.171614i	0.994093	+	0.108535i	$0.0346160\pi$
$62$	−1.03589	+	5.20778i	−0.131558	+	0.661388i
$63$	−0.601338	−	0.401801i	−0.0757615	−	0.0506222i
$64$	−0.707107	−	0.707107i	−0.0883883	−	0.0883883i
$65$	0.883137	+	3.17773i	0.109540	+	0.394149i
$66$	5.92688	+	2.45499i	0.729549	+	0.302189i
$67$	7.14013	−	7.14013i	0.872306	−	0.872306i	−0.120418	−	0.992723i	$-0.538423\pi$
$67$	7.14013	−	7.14013i	0.872306	−	0.872306i	0.992723	+	0.120418i	$0.0384234\pi$
$68$	1.82092	+	3.69922i	0.220819	+	0.448596i
$69$			5.69125i			0.685146i
$70$	2.37819	+	0.782765i	0.284248	+	0.0935583i
$71$	1.30903	+	0.874669i	0.155354	+	0.103804i	0.630817	−	0.775931i	$-0.282720\pi$
$71$	1.30903	+	0.874669i	0.155354	+	0.103804i	−0.475464	+	0.879735i	$0.657720\pi$
$72$			0.645915i			0.0761219i
$73$	−7.04265	+	10.5401i	−0.824280	+	1.23362i	0.145431	+	0.989368i	$0.453543\pi$
$73$	−7.04265	+	10.5401i	−0.824280	+	1.23362i	−0.969711	+	0.244254i	$0.921457\pi$
$74$	−4.69472	−	7.02615i	−0.545750	−	0.816773i
$75$	7.05993	−	6.42692i	0.815210	−	0.742117i
$76$	4.07173	−	1.68657i	0.467060	−	0.193462i
$77$	−1.43961	+	3.47552i	−0.164058	+	0.396072i
$78$	−1.56469	−	2.34173i	−0.177167	−	0.265149i
$79$	6.00351	−	4.01142i	0.675448	−	0.451320i	−0.169953	−	0.985452i	$-0.554362\pi$
$79$	6.00351	−	4.01142i	0.675448	−	0.451320i	0.845401	+	0.534132i	$0.179362\pi$
$80$	−0.598743	−	2.15442i	−0.0669415	−	0.240871i
$81$	−7.43914	+	7.43914i	−0.826572	+	0.826572i
$82$	10.6198	−	2.11241i	1.17276	−	0.233276i
$83$	11.8159	−	4.89429i	1.29696	−	0.537218i	0.375906	−	0.926658i	$-0.377331\pi$
$83$	11.8159	−	4.89429i	1.29696	−	0.537218i	0.921052	+	0.389440i	$0.127331\pi$
$84$	−2.13796			−0.233271
$85$	−0.524309	+	9.20462i	−0.0568693	+	0.998382i
$86$	6.66847			0.719080
$87$	−6.00808	+	2.48863i	−0.644134	+	0.266809i
$88$	3.29520	−	0.655456i	0.351269	−	0.0698718i
$89$	5.20222	−	5.20222i	0.551434	−	0.551434i	−0.375420	−	0.926855i	$-0.622502\pi$
$89$	5.20222	−	5.20222i	0.551434	−	0.551434i	0.926855	+	0.375420i	$0.122502\pi$
$90$	−0.710524	+	1.25745i	−0.0748958	+	0.132547i
$91$	1.37319	−	0.917536i	0.143949	−	0.0961839i
$92$	1.65593	+	2.47828i	0.172643	+	0.258379i
$93$	3.87991	−	9.36692i	0.402328	−	0.971305i
$94$	6.00354	−	2.48675i	0.619218	−	0.256489i
$95$	9.78202	+	1.19564i	1.00361	+	0.122670i
$96$	1.06082	+	1.58763i	0.108270	+	0.162037i
$97$	5.44087	−	8.14284i	0.552437	−	0.826780i	−0.445204	−	0.895429i	$-0.646869\pi$
$97$	5.44087	−	8.14284i	0.552437	−	0.826780i	0.997641	+	0.0686493i	$0.0218689\pi$
$98$			5.74630i			0.580464i
$99$	−1.80439	−	1.20565i	−0.181348	−	0.121173i
$100$	1.20429	−	4.85280i	0.120429	−	0.485280i
$101$			9.30787i			0.926167i	0.886315	+	0.463084i	$0.153257\pi$
$101$			9.30787i			0.926167i	−0.886315	+	0.463084i	$0.846743\pi$
$102$	−2.03211	−	7.60599i	−0.201209	−	0.753105i
$103$	8.56291	−	8.56291i	0.843728	−	0.843728i	−0.145613	−	0.989342i	$-0.546516\pi$
$103$	8.56291	−	8.56291i	0.843728	−	0.843728i	0.989342	+	0.145613i	$0.0465156\pi$
$104$	−1.36271	−	0.564452i	−0.133624	−	0.0553491i
$105$	−4.16214	−	2.35181i	−0.406183	−	0.229514i
$106$	−4.01688	−	4.01688i	−0.390154	−	0.390154i
$107$	−12.7048	−	8.48906i	−1.22822	−	0.820669i	−0.239564	−	0.970881i	$-0.577004\pi$
$107$	−12.7048	−	8.48906i	−1.22822	−	0.820669i	−0.988654	+	0.150212i	$0.952004\pi$
$108$	−0.876922	+	4.40859i	−0.0843819	+	0.424216i
$109$	−3.05926	+	15.3799i	−0.293024	+	1.47313i	0.501109	+	0.865384i	$0.332926\pi$
$109$	−3.05926	+	15.3799i	−0.293024	+	1.47313i	−0.794132	+	0.607745i	$0.792074\pi$
$110$	7.13604	+	2.34878i	0.680394	+	0.223947i
$111$	6.17467	+	14.9070i	0.586074	+	1.41491i
$112$	−0.930986	+	0.622065i	−0.0879699	+	0.0587796i
$113$	−4.62667	−	0.920302i	−0.435241	−	0.0865748i	−0.0273930	−	0.999625i	$-0.508721\pi$
$113$	−4.62667	−	0.920302i	−0.435241	−	0.0865748i	−0.407848	+	0.913050i	$0.633721\pi$
$114$	−8.25356	+	1.64173i	−0.773016	+	0.153763i
$115$	0.497561	+	6.64623i	0.0463978	+	0.619764i
$116$	−1.89215	+	2.83181i	−0.175682	+	0.262927i
$117$	0.364588	+	0.880194i	0.0337062	+	0.0813739i
$118$	1.44975	+	1.44975i	0.133460	+	0.133460i
$119$	4.46015	−	1.19163i	0.408861	−	0.109236i
$120$	0.318747	+	4.25770i	0.0290975	+	0.388673i
$121$	−0.110195	+	0.266035i	−0.0100177	+	0.0241850i
$122$	0.266612	+	1.34035i	0.0241379	+	0.121350i
$123$	−20.6750			−1.86420
$124$	−1.03589	−	5.20778i	−0.0930258	−	0.467672i
$125$	7.68270	−	8.12257i	0.687162	−	0.726505i
$126$	0.709326	+	0.141094i	0.0631918	+	0.0125696i
$127$	−9.66056	−	4.00153i	−0.857236	−	0.355079i	−0.0896101	−	0.995977i	$-0.528562\pi$
$127$	−9.66056	−	4.00153i	−0.857236	−	0.355079i	−0.767626	+	0.640898i	$0.778562\pi$
$128$	0.923880	+	0.382683i	0.0816602	+	0.0338248i
$129$	−12.4883	−	2.48408i	−1.09953	−	0.218711i
$130$	−2.03198	−	2.59788i	−0.178216	−	0.227849i
$131$	−4.18518	−	21.0403i	−0.365661	−	1.83830i	−0.525031	−	0.851083i	$-0.675946\pi$
$131$	−4.18518	−	21.0403i	−0.365661	−	1.83830i	0.159370	−	0.987219i	$-0.449054\pi$
$132$	−6.41521			−0.558372
$133$	−0.962712	−	4.83988i	−0.0834777	−	0.419671i
$134$	−3.86421	+	9.32903i	−0.333817	+	0.805905i
$135$	−6.55673	+	7.61790i	−0.564314	+	0.655644i
$136$	−3.09794	−	2.72080i	−0.265647	−	0.233306i
$137$	−1.86677	−	1.86677i	−0.159489	−	0.159489i	0.622851	−	0.782340i	$-0.285974\pi$
$137$	−1.86677	−	1.86677i	−0.159489	−	0.159489i	−0.782340	+	0.622851i	$0.785974\pi$
$138$	−2.17795	−	5.25803i	−0.185399	−	0.447593i
$139$	−8.11022	+	12.1378i	−0.687900	+	1.02951i	0.309018	+	0.951056i	$0.400000\pi$
$139$	−8.11022	+	12.1378i	−0.687900	+	1.02951i	−0.996917	+	0.0784583i	$0.975000\pi$
$140$	−2.49671	+	0.186913i	−0.211010	+	0.0157970i
$141$	−12.1694	+	2.42065i	−1.02485	+	0.203855i
$142$	−1.54411	−	0.307143i	−0.129579	−	0.0257749i
$143$	4.12042	−	2.75318i	0.344567	−	0.230232i
$144$	−0.247181	−	0.596748i	−0.0205984	−	0.0497290i
$145$	−6.79866	+	3.43148i	−0.564598	+	0.284969i
$146$	2.47305	−	12.4329i	0.204671	−	1.02895i
$147$	2.14056	−	10.7613i	0.176550	−	0.887579i
$148$	7.02615	+	4.69472i	0.577546	+	0.385904i
$149$	9.82894	+	9.82894i	0.805218	+	0.805218i	0.983906	−	0.178688i	$-0.0571852\pi$
$149$	9.82894	+	9.82894i	0.805218	+	0.805218i	−0.178688	+	0.983906i	$0.557185\pi$
$150$	−4.06305	+	8.63942i	−0.331747	+	0.705405i
$151$	16.1800	+	6.70198i	1.31671	+	0.545400i	0.926835	−	0.375468i	$-0.122518\pi$
$151$	16.1800	+	6.70198i	1.31671	+	0.545400i	0.389876	+	0.920868i	$0.372518\pi$
$152$	−3.11637	+	3.11637i	−0.252771	+	0.252771i
$153$	0.172255	+	2.65760i	0.0139260	+	0.214854i
$154$		−	3.76187i		−	0.303140i
$155$	3.71204	−	11.2779i	0.298158	−	0.905862i
$156$	2.34173	+	1.56469i	0.187489	+	0.125276i
$157$			5.97292i			0.476691i	0.971180	+	0.238345i	$0.0766050\pi$
$157$			5.97292i			0.476691i	−0.971180	+	0.238345i	$0.923395\pi$
$158$	−4.01142	+	6.00351i	−0.319131	+	0.477614i
$159$	6.02624	+	9.01890i	0.477912	+	0.715245i
$160$	1.37763	+	1.76129i	0.108911	+	0.139242i
$161$	3.08330	−	1.27715i	0.242998	−	0.100653i
$162$	4.02604	−	9.71971i	0.316315	−	0.763653i
$163$	−0.901103	−	1.34860i	−0.0705798	−	0.105630i	0.794501	−	0.607263i	$-0.207733\pi$
$163$	−0.901103	−	1.34860i	−0.0705798	−	0.105630i	−0.865080	+	0.501633i	$0.832733\pi$
$164$	−9.00302	+	6.01562i	−0.703017	+	0.469741i
$165$	−12.4890	−	7.05690i	−0.972266	−	0.549379i
$166$	−9.04346	+	9.04346i	−0.701909	+	0.701909i
$167$	6.62279	−	1.31736i	0.512487	−	0.101940i	0.0679292	−	0.997690i	$-0.478361\pi$
$167$	6.62279	−	1.31736i	0.512487	−	0.101940i	0.444558	+	0.895750i	$0.353361\pi$
$168$	1.97522	−	0.818163i	0.152391	−	0.0631226i
$169$	10.8244			0.832648
$170$	−3.03806	−	8.70461i	−0.233008	−	0.667613i
$171$	2.84669			0.217691
$172$	−6.16087	+	2.55191i	−0.469762	+	0.194582i
$173$	24.2124	−	4.81614i	1.84083	−	0.366165i	0.853029	−	0.521863i	$-0.174763\pi$
$173$	24.2124	−	4.81614i	1.84083	−	0.366165i	0.987805	+	0.155699i	$0.0497630\pi$
$174$	4.59839	−	4.59839i	0.348603	−	0.348603i
$175$	−5.06615	−	2.38257i	−0.382965	−	0.180105i
$176$	−2.79353	+	1.86658i	−0.210571	+	0.140699i
$177$	−2.17496	−	3.25505i	−0.163480	−	0.244665i
$178$	−2.81542	+	6.79703i	−0.211025	+	0.509459i
$179$	−3.46381	+	1.43476i	−0.258897	+	0.107239i	−0.508357	−	0.861146i	$-0.669747\pi$
$179$	−3.46381	+	1.43476i	−0.258897	+	0.107239i	0.249460	+	0.968385i	$0.419747\pi$
$180$	0.175232	−	1.43364i	0.0130610	−	0.106857i
$181$	−6.38769	−	9.55986i	−0.474794	−	0.710579i	0.514342	−	0.857585i	$-0.328036\pi$
$181$	−6.38769	−	9.55986i	−0.474794	−	0.710579i	−0.989136	+	0.147006i	$0.953036\pi$
$182$	−0.917536	+	1.37319i	−0.0680123	+	0.101788i
$183$		−	2.60944i		−	0.192895i
$184$	−2.47828	−	1.65593i	−0.182701	−	0.122077i
$185$	8.51402	+	16.8685i	0.625964	+	1.24020i
$186$			10.1387i			0.743405i
$187$	13.3832	−	3.57563i	0.978677	−	0.261476i
$188$	−4.59491	+	4.59491i	−0.335119	+	0.335119i
$189$	4.64983	+	1.92602i	0.338226	+	0.140098i
$190$	−9.49496	+	2.63879i	−0.688837	+	0.191438i
$191$	9.54505	+	9.54505i	0.690655	+	0.690655i	0.962376	−	0.271721i	$-0.0875927\pi$
$191$	9.54505	+	9.54505i	0.690655	+	0.690655i	−0.271721	+	0.962376i	$0.587593\pi$
$192$	−1.58763	−	1.06082i	−0.114577	−	0.0765582i
$193$	2.59864	−	13.0643i	0.187054	−	0.940386i	−0.767204	−	0.641403i	$-0.778353\pi$
$193$	2.59864	−	13.0643i	0.187054	−	0.940386i	0.954258	−	0.298983i	$-0.0966474\pi$
$194$	−1.91058	+	9.60513i	−0.137172	+	0.689608i
$195$	2.83762	+	5.62208i	0.203206	+	0.402605i
$196$	−2.19901	−	5.30889i	−0.157072	−	0.379206i
$197$	9.23141	−	6.16823i	0.657711	−	0.439468i	−0.181414	−	0.983407i	$-0.558067\pi$
$197$	9.23141	−	6.16823i	0.657711	−	0.439468i	0.839125	+	0.543938i	$0.183067\pi$
$198$	2.12842	+	0.423369i	0.151260	+	0.0300875i
$199$	−10.4034	+	2.06936i	−0.737475	+	0.146693i	−0.549515	−	0.835484i	$-0.685188\pi$
$199$	−10.4034	+	2.06936i	−0.737475	+	0.146693i	−0.187960	+	0.982177i	$0.560188\pi$
$200$	0.744464	+	4.94427i	0.0526416	+	0.349612i
$201$	10.7118	−	16.0314i	0.755554	−	1.13077i
$202$	−3.56197	−	8.59935i	−0.250619	−	0.605048i
$203$	2.69649	+	2.69649i	0.189257	+	0.189257i
$204$	4.78811	+	6.24936i	0.335235	+	0.437543i
$205$	−24.1442	+	1.80752i	−1.68630	+	0.126243i
$206$	−4.63421	+	11.1880i	−0.322881	+	0.779503i
$207$	0.375591	+	1.88822i	0.0261054	+	0.131241i
$208$	1.47498			0.102272
$209$	−2.88873	−	14.5226i	−0.199818	−	1.00455i
$210$	4.74531	+	0.580013i	0.327458	+	0.0400247i
$211$	−0.680492	−	0.135358i	−0.0468470	−	0.00931845i	0.171611	−	0.985165i	$-0.445103\pi$
$211$	−0.680492	−	0.135358i	−0.0468470	−	0.00931845i	−0.218458	+	0.975846i	$0.570103\pi$
$212$	5.24831	+	2.17392i	0.360455	+	0.149305i
$213$	2.77730	+	1.15040i	0.190298	+	0.0788239i
$214$	14.9863	+	2.98096i	1.02444	+	0.203774i
$215$	−14.8010	−	1.80911i	−1.00942	−	0.123380i
$216$	−0.876922	−	4.40859i	−0.0596670	−	0.299966i
$217$	−5.94532			−0.403594
$218$	−3.05926	−	15.3799i	−0.207199	−	1.04166i
$219$	−9.26276	+	22.3623i	−0.625919	+	1.51110i
$220$	−7.49168	+	0.560854i	−0.505089	+	0.0378128i
$221$	−5.75735	−	1.95901i	−0.387281	−	0.131777i
$222$	−11.4093	−	11.4093i	−0.765742	−	0.765742i
$223$	5.65522	+	13.6529i	0.378701	+	0.914266i	0.992210	+	0.124578i	$0.0397577\pi$
$223$	5.65522	+	13.6529i	0.378701	+	0.914266i	−0.613508	+	0.789688i	$0.710242\pi$
$224$	0.622065	−	0.930986i	0.0415635	−	0.0622041i
$225$	1.91818	−	2.59822i	0.127879	−	0.173215i
$226$	4.62667	−	0.920302i	0.307762	−	0.0612176i
$227$	−10.2192	−	2.03273i	−0.678274	−	0.134917i	−0.156081	−	0.987744i	$-0.549886\pi$
$227$	−10.2192	−	2.03273i	−0.678274	−	0.134917i	−0.522193	+	0.852827i	$0.674886\pi$
$228$	6.99703	−	4.67526i	0.463389	−	0.309627i
$229$	−11.2624	−	27.1899i	−0.744242	−	1.79676i	−0.587685	−	0.809090i	$-0.699961\pi$
$229$	−11.2624	−	27.1899i	−0.744242	−	1.79676i	−0.156557	−	0.987669i	$-0.550039\pi$
$230$	−3.00309	−	5.94991i	−0.198018	−	0.392325i
$231$	−1.40134	+	7.04501i	−0.0922014	+	0.463528i
$232$	0.664436	−	3.34034i	0.0436223	−	0.219304i
$233$	19.6635	+	13.1387i	1.28820	+	0.860746i	0.995435	−	0.0954397i	$-0.0304257\pi$
$233$	19.6635	+	13.1387i	1.28820	+	0.860746i	0.292762	+	0.956185i	$0.405426\pi$
$234$	−0.673671	−	0.673671i	−0.0440393	−	0.0440393i
$235$	−13.9998	+	3.89075i	−0.913246	+	0.253804i
$236$	−1.89419	−	0.784600i	−0.123301	−	0.0510731i
$237$	9.74871	−	9.74871i	0.633247	−	0.633247i
$238$	−3.66462	+	2.80775i	−0.237542	+	0.181999i
$239$			5.14210i			0.332615i	0.986074	+	0.166308i	$0.0531844\pi$
$239$			5.14210i			0.332615i	−0.986074	+	0.166308i	$0.946816\pi$
$240$	−1.92383	−	3.81162i	−0.124183	−	0.246039i
$241$	16.9438	+	11.3215i	1.09145	+	0.729282i	0.964884	−	0.262677i	$-0.0846053\pi$
$241$	16.9438	+	11.3215i	1.09145	+	0.729282i	0.126563	+	0.991959i	$0.459605\pi$
$242$		−	0.287954i		−	0.0185104i
$243$	−3.66862	+	5.49048i	−0.235342	+	0.352215i
$244$	−0.759247	−	1.13629i	−0.0486058	−	0.0727437i
$245$	1.55893	−	12.7542i	0.0995962	−	0.814836i
$246$	19.1012	−	7.91197i	1.21785	−	0.504449i
$247$	−2.48766	+	6.00574i	−0.158286	+	0.382136i
$248$	2.94997	+	4.41494i	0.187323	+	0.280349i
$249$	20.3048	−	13.5673i	1.28677	−	0.859790i
$250$	−3.98952	+	10.4443i	−0.252319	+	0.660557i
$251$	18.6690	−	18.6690i	1.17837	−	1.17837i	0.198216	−	0.980158i	$-0.436485\pi$
$251$	18.6690	−	18.6690i	1.17837	−	1.17837i	0.980158	−	0.198216i	$-0.0635148\pi$
$252$	−0.709326	+	0.141094i	−0.0446834	+	0.00888807i
$253$	9.25182	−	3.83223i	0.581657	−	0.240930i
$254$	10.4565			0.656100
$255$	2.44693	+	17.4332i	0.153233	+	1.09171i
$256$	−1.00000			−0.0625000
$257$	−22.9993	+	9.52661i	−1.43466	+	0.594254i	−0.958496	−	0.285105i	$-0.907972\pi$
$257$	−22.9993	+	9.52661i	−1.43466	+	0.594254i	−0.476160	+	0.879359i	$0.657972\pi$
$258$	12.4883	−	2.48408i	0.777488	−	0.154652i
$259$	6.69040	−	6.69040i	0.415722	−	0.415722i
$260$	2.87147	+	1.62252i	0.178081	+	0.100625i
$261$	−1.82911	+	1.22217i	−0.113219	+	0.0756505i
$262$	11.9184	+	17.8371i	0.736321	+	1.10198i
$263$	−9.08213	+	21.9262i	−0.560028	+	1.35203i	0.349715	+	0.936856i	$0.386278\pi$
$263$	−9.08213	+	21.9262i	−0.560028	+	1.35203i	−0.909743	+	0.415171i	$0.863722\pi$
$264$	5.92688	−	2.45499i	0.364774	−	0.151094i
$265$	7.82592	+	10.0054i	0.480742	+	0.614628i
$266$	2.74157	+	4.10305i	0.168097	+	0.251574i
$267$	7.80452	−	11.6803i	0.477629	−	0.714822i
$268$		−	10.0977i		−	0.616813i
$269$	−19.3859	−	12.9533i	−1.18198	−	0.789775i	−0.200194	−	0.979756i	$-0.564157\pi$
$269$	−19.3859	−	12.9533i	−1.18198	−	0.789775i	−0.981788	+	0.189982i	$0.939157\pi$
$270$	3.14239	−	9.54717i	0.191240	−	0.581022i
$271$			26.0746i			1.58392i	0.610574	+	0.791959i	$0.290939\pi$
$271$			26.0746i			1.58392i	−0.610574	+	0.791959i	$0.709061\pi$
$272$	3.90333	+	1.32816i	0.236674	+	0.0805314i
$273$	2.22983	−	2.22983i	0.134956	−	0.134956i
$274$	2.43906	+	1.01029i	0.147349	+	0.0610339i
$275$	−15.2016	−	7.14918i	−0.916690	−	0.431112i
$276$	4.02432	+	4.02432i	0.242236	+	0.242236i
$277$	−9.98812	−	6.67385i	−0.600128	−	0.400993i	0.218067	−	0.975934i	$-0.430025\pi$
$277$	−9.98812	−	6.67385i	−0.600128	−	0.400993i	−0.818195	+	0.574941i	$0.805025\pi$
$278$	2.84793	−	14.3175i	0.170807	−	0.858707i
$279$	0.669098	−	3.36378i	0.0400578	−	0.201384i
$280$	2.23513	−	1.12813i	0.133575	−	0.0674189i
$281$	−2.20751	−	5.32939i	−0.131689	−	0.317925i	0.844257	−	0.535939i	$-0.180042\pi$
$281$	−2.20751	−	5.32939i	−0.131689	−	0.317925i	−0.975946	+	0.218014i	$0.930042\pi$
$282$	10.3167	−	6.89342i	0.614352	−	0.410497i
$283$	−24.1108	−	4.79594i	−1.43324	−	0.285089i	−0.583423	−	0.812169i	$-0.698287\pi$
$283$	−24.1108	−	4.79594i	−1.43324	−	0.285089i	−0.849816	+	0.527080i	$0.823287\pi$
$284$	1.54411	−	0.307143i	0.0916262	−	0.0182256i
$285$	18.7646	−	1.40478i	1.11152	−	0.0832122i
$286$	−2.75318	+	4.12042i	−0.162799	+	0.243645i
$287$	4.63957	+	11.2009i	0.273865	+	0.661169i
$288$	0.456731	+	0.456731i	0.0269131	+	0.0269131i
$289$	−13.4720	−	10.3685i	−0.792470	−	0.609910i
$290$	4.96797	−	5.77201i	0.291730	−	0.338944i
$291$	7.15603	−	17.2762i	0.419494	−	1.01275i
$292$	2.47305	+	12.4329i	0.144724	+	0.727578i
$293$	4.55991			0.266393			0.133196	−	0.991090i	$-0.457476\pi$
$293$	4.55991			0.266393			0.133196	+	0.991090i	$0.457476\pi$
$294$	2.14056	+	10.7613i	0.124840	+	0.627613i
$295$	−2.82449	−	3.61110i	−0.164448	−	0.210246i
$296$	−8.28790	−	1.64857i	−0.481725	−	0.0958210i
$297$	13.9524	+	5.77927i	0.809599	+	0.335347i
$298$	−12.8421	−	5.31938i	−0.743924	−	0.308144i
$299$	−4.31187	−	0.857684i	−0.249362	−	0.0496011i
$300$	0.447607	−	9.53664i	0.0258426	−	0.550598i
$301$	1.45666	+	7.32313i	0.0839606	+	0.422098i
$302$	−17.5131			−1.00777
$303$	3.46728	+	17.4312i	0.199190	+	1.00140i
$304$	1.68657	−	4.07173i	0.0967312	−	0.233530i
$305$	−0.228132	−	3.04730i	−0.0130628	−	0.174488i
$306$	−1.17616	−	2.38938i	−0.0672367	−	0.136592i
$307$	6.84849	+	6.84849i	0.390864	+	0.390864i	0.874995	−	0.484131i	$-0.160864\pi$
$307$	6.84849	+	6.84849i	0.390864	+	0.390864i	−0.484131	+	0.874995i	$0.660864\pi$
$308$	1.43961	+	3.47552i	0.0820292	+	0.198036i
$309$	12.8463	−	19.2259i	0.730801	−	1.09372i
$310$	0.886382	+	11.8399i	0.0503431	+	0.672464i
$311$	18.4089	−	3.66176i	1.04387	−	0.207639i	0.356764	−	0.934194i	$-0.383880\pi$
$311$	18.4089	−	3.66176i	1.04387	−	0.207639i	0.687108	+	0.726555i	$0.258880\pi$
$312$	−2.76226	−	0.549448i	−0.156382	−	0.0311064i
$313$	−6.70628	+	4.48099i	−0.379061	+	0.253281i	−0.730475	−	0.682940i	$-0.760701\pi$
$313$	−6.70628	+	4.48099i	−0.379061	+	0.253281i	0.351413	+	0.936220i	$0.385701\pi$
$314$	−2.28574	−	5.51826i	−0.128992	−	0.311413i
$315$	−1.53611	−	0.505600i	−0.0865499	−	0.0284873i
$316$	1.40862	−	7.08163i	0.0792412	−	0.398373i
$317$	−0.711735	+	3.57813i	−0.0399750	+	0.200968i	−0.995612	−	0.0935797i	$-0.970169\pi$
$317$	−0.711735	+	3.57813i	−0.0399750	+	0.200968i	0.955637	+	0.294548i	$0.0951690\pi$
$318$	−9.01890	−	6.02624i	−0.505755	−	0.337935i
$319$	8.09114	+	8.09114i	0.453017	+	0.453017i
$320$	−1.94678	−	1.10003i	−0.108828	−	0.0614933i
$321$	−26.9550	−	11.1651i	−1.50448	−	0.623177i
$322$	−2.35986	+	2.35986i	−0.131510	+	0.131510i
$323$	−11.9911	+	13.6533i	−0.667204	+	0.759690i
$324$			10.5205i			0.584474i
$325$	3.80529	+	6.31738i	0.211079	+	0.350425i
$326$	1.34860	+	0.901103i	0.0746918	+	0.0499075i
$327$			29.9422i			1.65581i
$328$	6.01562	−	9.00302i	0.332157	−	0.497108i
$329$	4.04229	+	6.04972i	0.222859	+	0.333532i
$330$	14.2389	+	1.74040i	0.783824	+	0.0958057i
$331$	−7.96553	+	3.29943i	−0.437825	+	0.181353i	−0.590698	−	0.806893i	$-0.701148\pi$
$331$	−7.96553	+	3.29943i	−0.437825	+	0.181353i	0.152873	+	0.988246i	$0.451148\pi$
$332$	4.89429	−	11.8159i	0.268609	−	0.648479i
$333$	3.03239	+	4.53829i	0.166174	+	0.248697i
$334$	−5.61453	+	3.75151i	−0.307214	+	0.205273i
$335$	11.1077	−	19.6579i	0.606879	−	1.07403i
$336$	−1.51177	+	1.51177i	−0.0824737	+	0.0824737i
$337$	17.6669	−	3.51416i	0.962377	−	0.191429i	0.311192	−	0.950347i	$-0.399272\pi$
$337$	17.6669	−	3.51416i	0.962377	−	0.191429i	0.651186	+	0.758919i	$0.274272\pi$
$338$	−10.0005	+	4.14233i	−0.543953	+	0.225313i
$339$	−9.00737			−0.489213
$340$	6.13791	+	6.87939i	0.332875	+	0.373088i
$341$	−17.8396			−0.966070
$342$	−2.62999	+	1.08938i	−0.142214	+	0.0589069i
$343$	−13.9976	+	2.78430i	−0.755801	+	0.150338i
$344$	4.71532	−	4.71532i	0.254233	−	0.254233i
$345$	3.40760	+	12.2613i	0.183459	+	0.660127i
$346$	−20.5263	+	13.7152i	−1.10350	+	0.737335i
$347$	−7.73424	−	11.5751i	−0.415196	−	0.621384i	0.563643	−	0.826019i	$-0.309399\pi$
$347$	−7.73424	−	11.5751i	−0.415196	−	0.621384i	−0.978838	+	0.204634i	$0.934399\pi$
$348$	−2.48863	+	6.00808i	−0.133405	+	0.322067i
$349$	4.86747	−	2.01617i	0.260550	−	0.107923i	−0.248585	−	0.968610i	$-0.579966\pi$
$349$	4.86747	−	2.01617i	0.260550	−	0.107923i	0.509135	+	0.860687i	$0.329966\pi$
$350$	5.59228	+	0.262476i	0.298920	+	0.0140299i
$351$	−3.68342	−	5.51263i	−0.196607	−	0.294243i
$352$	1.86658	−	2.79353i	0.0994890	−	0.148896i
$353$			4.60489i			0.245093i	0.992463	+	0.122547i	$0.0391061\pi$
$353$			4.60489i			0.245093i	−0.992463	+	0.122547i	$0.960894\pi$
$354$	3.25505	+	2.17496i	0.173004	+	0.115598i
$355$	3.34391	+	1.10062i	0.177476	+	0.0584151i
$356$		−	7.35705i		−	0.389923i
$357$	7.90879	−	3.89306i	0.418578	−	0.206043i
$358$	2.65109	−	2.65109i	0.140114	−	0.140114i
$359$	−2.69412	−	1.11594i	−0.142190	−	0.0588972i	0.310454	−	0.950589i	$-0.399519\pi$
$359$	−2.69412	−	1.11594i	−0.142190	−	0.0588972i	−0.452644	+	0.891691i	$0.649519\pi$
$360$	0.386738	+	1.39157i	0.0203829	+	0.0733422i
$361$	0.299468	+	0.299468i	0.0157615	+	0.0157615i
$362$	9.55986	+	6.38769i	0.502455	+	0.335730i
$363$	−0.107266	+	0.539262i	−0.00563000	+	0.0283039i
$364$	0.322196	−	1.61979i	0.0168876	−	0.0848999i
$365$	−8.86200	+	26.9244i	−0.463858	+	1.40929i
$366$	0.998590	+	2.41081i	0.0521971	+	0.126015i
$367$	−23.0363	+	15.3924i	−1.20249	+	0.803476i	−0.984994	−	0.172587i	$-0.944788\pi$
$367$	−23.0363	+	15.3924i	−1.20249	+	0.803476i	−0.217492	+	0.976062i	$0.569788\pi$
$368$	2.92333	+	0.581487i	0.152389	+	0.0303121i
$369$	−6.85948	+	1.36444i	−0.357090	+	0.0710297i
$370$	−14.3212	−	12.3263i	−0.744526	−	0.640814i
$371$	3.53378	−	5.28868i	0.183465	−	0.274574i
$372$	−3.87991	−	9.36692i	−0.201164	−	0.485652i
$373$	−20.5382	−	20.5382i	−1.06343	−	1.06343i	−0.997847	−	0.0655799i	$-0.979110\pi$
$373$	−20.5382	−	20.5382i	−1.06343	−	1.06343i	−0.0655799	−	0.997847i	$-0.520890\pi$
$374$	−10.9961	+	8.42498i	−0.568597	+	0.435645i
$375$	11.3619	−	18.0733i	0.586728	−	0.933303i
$376$	2.48675	−	6.00354i	0.128244	−	0.309609i
$377$	−0.980032	−	4.92695i	−0.0504742	−	0.253751i
$378$	−5.03294			−0.258867
$379$	−1.67265	−	8.40898i	−0.0859183	−	0.431940i	−0.999671	−	0.0256684i	$-0.991829\pi$
$379$	−1.67265	−	8.40898i	−0.0859183	−	0.431940i	0.913752	−	0.406272i	$-0.133171\pi$
$380$	7.76238	−	6.07149i	0.398202	−	0.311461i
$381$	−19.5823	−	3.89517i	−1.00323	−	0.199555i
$382$	−12.4712	−	5.16574i	−0.638082	−	0.264302i
$383$	−6.17465	−	2.55762i	−0.315510	−	0.130689i	0.219308	−	0.975656i	$-0.429620\pi$
$383$	−6.17465	−	2.55762i	−0.315510	−	0.130689i	−0.534818	+	0.844967i	$0.679620\pi$
$384$	1.87274	+	0.372511i	0.0955678	+	0.0190096i
$385$	−1.02057	+	8.34967i	−0.0520130	+	0.425538i
$386$	2.59864	+	13.0643i	0.132267	+	0.664954i
$387$	−4.30727			−0.218951
$388$	−1.91058	−	9.60513i	−0.0969950	−	0.487627i
$389$	−8.75589	+	21.1386i	−0.443941	+	1.07177i	0.530612	+	0.847615i	$0.321962\pi$
$389$	−8.75589	+	21.1386i	−0.443941	+	1.07177i	−0.974554	+	0.224155i	$0.928038\pi$
$390$	−4.77310	−	4.10821i	−0.241695	−	0.208027i
$391$	−10.6384	−	6.15238i	−0.538008	−	0.311139i
$392$	4.06325	+	4.06325i	0.205225	+	0.205225i
$393$	−15.6755	−	37.8440i	−0.790725	−	1.90898i
$394$	−6.16823	+	9.23141i	−0.310751	+	0.465072i
$395$	10.5323	−	12.2368i	0.529935	−	0.615702i
$396$	−2.12842	+	0.423369i	−0.106957	+	0.0212751i
$397$	5.05339	+	1.00518i	0.253622	+	0.0504486i	0.320264	−	0.947328i	$-0.396228\pi$
$397$	5.05339	+	1.00518i	0.253622	+	0.0504486i	−0.0666417	+	0.997777i	$0.521228\pi$
$398$	8.81955	−	5.89304i	0.442084	−	0.295391i
$399$	−3.60582	−	8.70521i	−0.180517	−	0.435806i
$400$	−2.57988	−	4.28301i	−0.128994	−	0.214151i
$401$	−1.50164	+	7.54925i	−0.0749883	+	0.376992i	−0.999996	−	0.00295756i	$-0.999059\pi$
$401$	−1.50164	+	7.54925i	−0.0749883	+	0.376992i	0.925007	+	0.379949i	$0.124059\pi$
$402$	−3.76149	+	18.9103i	−0.187606	+	0.943160i
$403$	6.51197	+	4.35116i	0.324384	+	0.216747i
$404$	6.58166	+	6.58166i	0.327450	+	0.327450i
$405$	−11.5729	+	20.4811i	−0.575061	+	1.01772i
$406$	−3.52313	−	1.45933i	−0.174850	−	0.0724253i
$407$	20.0754	−	20.0754i	0.995099	−	0.995099i
$408$	−6.81517	−	3.94133i	−0.337401	−	0.195125i
$409$			19.4963i			0.964028i	0.876164	+	0.482014i	$0.160094\pi$
$409$			19.4963i			0.964028i	−0.876164	+	0.482014i	$0.839906\pi$
$410$	21.6146	−	10.9095i	1.06747	−	0.538783i
$411$	−4.19138	−	2.80059i	−0.206745	−	0.138143i
$412$		−	12.1098i		−	0.596606i
$413$	−1.27539	+	1.90876i	−0.0627580	+	0.0939240i
$414$	−1.06959	−	1.60076i	−0.0525676	−	0.0786730i
$415$	22.5258	−	17.6190i	1.10575	−	0.864882i
$416$	−1.36271	+	0.564452i	−0.0668122	+	0.0276745i
$417$	−10.6669	+	25.7521i	−0.522358	+	1.26108i
$418$	8.22641	+	12.3117i	0.402367	+	0.602185i
$419$	−28.2379	+	18.8680i	−1.37951	+	0.921761i	−0.999994	−	0.00342286i	$-0.998910\pi$
$419$	−28.2379	+	18.8680i	−1.37951	+	0.921761i	−0.379519	+	0.925184i	$0.623910\pi$
$420$	−4.60606	+	1.28009i	−0.224753	+	0.0624620i
$421$	6.66320	−	6.66320i	0.324744	−	0.324744i	−0.525839	−	0.850584i	$-0.676249\pi$
$421$	6.66320	−	6.66320i	0.324744	−	0.324744i	0.850584	+	0.525839i	$0.176249\pi$
$422$	0.680492	−	0.135358i	0.0331258	−	0.00658914i
$423$	−3.87778	+	1.60623i	−0.188544	+	0.0780976i
$424$	−5.68073			−0.275880
$425$	4.38163	+	20.1445i	0.212540	+	0.977152i
$426$	−3.00613			−0.145648
$427$	−1.41370	+	0.585572i	−0.0684136	+	0.0283378i
$428$	−14.9863	+	2.98096i	−0.724391	+	0.144090i
$429$	6.69088	−	6.69088i	0.323039	−	0.323039i
$430$	14.3667	−	3.99270i	0.692822	−	0.192545i
$431$	−1.43299	+	0.957493i	−0.0690247	+	0.0461208i	−0.589604	−	0.807693i	$-0.700716\pi$
$431$	−1.43299	+	0.957493i	−0.0690247	+	0.0461208i	0.520579	+	0.853813i	$0.325716\pi$
$432$	2.49726	+	3.73742i	0.120150	+	0.179817i
$433$	−4.93855	+	11.9227i	−0.237331	+	0.572969i	−0.997005	−	0.0773357i	$-0.975359\pi$
$433$	−4.93855	+	11.9227i	−0.237331	+	0.572969i	0.759674	+	0.650304i	$0.225359\pi$
$434$	5.49276	−	2.27517i	0.263661	−	0.109212i
$435$	−11.4539	+	8.95884i	−0.549170	+	0.429544i
$436$	8.71203	+	13.0385i	0.417230	+	0.624429i
$437$	−7.29805	+	10.9223i	−0.349113	+	0.522485i
$438$		−	24.2048i		−	1.15655i
$439$	−10.4072	−	6.95384i	−0.496706	−	0.331889i	0.281855	−	0.959457i	$-0.409050\pi$
$439$	−10.4072	−	6.95384i	−0.496706	−	0.331889i	−0.778561	+	0.627568i	$0.784050\pi$
$440$	6.70678	−	3.38510i	0.319733	−	0.161378i
$441$		−	3.71162i		−	0.176744i
$442$	6.06878	−	0.393353i	0.288662	−	0.0187099i
$443$	14.7256	−	14.7256i	0.699634	−	0.699634i	−0.264698	−	0.964331i	$-0.585272\pi$
$443$	14.7256	−	14.7256i	0.699634	−	0.699634i	0.964331	+	0.264698i	$0.0852722\pi$
$444$	14.9070	+	6.17467i	0.707453	+	0.293037i
$445$	8.09295	−	14.3225i	0.383643	−	0.678954i
$446$	−10.4495	−	10.4495i	−0.494797	−	0.494797i
$447$	22.0684	+	14.7456i	1.04380	+	0.697445i
$448$	−0.218440	+	1.09817i	−0.0103203	+	0.0518838i
$449$	3.43413	−	17.2646i	0.162067	−	0.814765i	−0.811143	−	0.584847i	$-0.801154\pi$
$449$	3.43413	−	17.2646i	0.162067	−	0.814765i	0.973210	−	0.229917i	$-0.0738456\pi$
$450$	−0.777872	+	3.13450i	−0.0366692	+	0.147762i
$451$	13.9216	+	33.6097i	0.655542	+	1.58262i
$452$	−3.92230	+	2.62080i	−0.184490	+	0.123272i
$453$	32.7975	+	6.52383i	1.54096	+	0.306516i
$454$	10.2192	−	2.03273i	0.479612	−	0.0954008i
$455$	2.40905	−	2.79894i	0.112938	−	0.131216i
$456$	−4.67526	+	6.99703i	−0.218939	+	0.327666i
$457$	−11.0490	−	26.6748i	−0.516853	−	1.24779i	−0.939827	−	0.341651i	$-0.889014\pi$
$457$	−11.0490	−	26.6748i	−0.516853	−	1.24779i	0.422974	−	0.906142i	$-0.360986\pi$
$458$	20.8102	+	20.8102i	0.972399	+	0.972399i
$459$	−4.78377	−	17.9051i	−0.223287	−	0.835741i
$460$	5.05142	+	4.34777i	0.235524	+	0.202716i
$461$	4.69992	−	11.3466i	0.218897	−	0.528464i	−0.775839	−	0.630930i	$-0.782673\pi$
$461$	4.69992	−	11.3466i	0.218897	−	0.528464i	0.994736	+	0.102466i	$0.0326734\pi$
$462$	−1.40134	−	7.04501i	−0.0651962	−	0.327763i
$463$	−7.54136			−0.350477			−0.175238	−	0.984526i	$-0.556070\pi$
$463$	−7.54136			−0.350477			−0.175238	+	0.984526i	$0.556070\pi$
$464$	0.664436	+	3.34034i	0.0308457	+	0.155072i
$465$	2.75055	−	22.5033i	0.127554	−	1.04357i
$466$	−23.1946	−	4.61370i	−1.07447	−	0.213726i
$467$	26.8922	+	11.1391i	1.24442	+	0.515458i	0.905095	−	0.425210i	$-0.139800\pi$
$467$	26.8922	+	11.1391i	1.24442	+	0.515458i	0.339330	+	0.940667i	$0.389800\pi$
$468$	0.880194	+	0.364588i	0.0406870	+	0.0168531i
$469$	−11.0890	−	2.20574i	−0.512042	−	0.101851i
$470$	11.4452	−	8.95207i	0.527928	−	0.412928i
$471$	2.22498	+	11.1857i	0.102522	+	0.515411i
$472$	2.05026			0.0943708
$473$	4.37089	+	21.9739i	0.200974	+	1.01036i
$474$	−5.27597	+	12.7373i	−0.242333	+	0.585044i
$475$	21.7904	−	3.28101i	0.999813	−	0.150543i
$476$	2.31119	−	3.99641i	0.105933	−	0.183175i
$477$	2.59456	+	2.59456i	0.118797	+	0.118797i
$478$	−1.96780	−	4.75068i	−0.0900050	−	0.217291i
$479$	12.5738	−	18.8180i	0.574510	−	0.859815i	−0.424448	−	0.905452i	$-0.639532\pi$
$479$	12.5738	−	18.8180i	0.574510	−	0.859815i	0.998958	+	0.0456376i	$0.0145319\pi$
$480$	3.23603	+	2.78526i	0.147704	+	0.127129i
$481$	−12.2245	+	2.43161i	−0.557390	+	0.110872i
$482$	−19.9866	−	3.97558i	−0.910365	−	0.181083i
$483$	5.29847	−	3.54032i	0.241089	−	0.161090i
$484$	0.110195	+	0.266035i	0.00500887	+	0.0120925i
$485$	6.84642	−	20.8007i	0.310880	−	0.944513i
$486$	1.28825	−	6.47647i	0.0584362	−	0.293778i
$487$	0.600779	−	3.02032i	0.0272239	−	0.136864i	−0.964783	−	0.263047i	$-0.915273\pi$
$487$	0.600779	−	3.02032i	0.0272239	−	0.136864i	0.992007	+	0.126183i	$0.0402727\pi$
$488$	1.13629	+	0.759247i	0.0514376	+	0.0343695i
$489$	−2.18990	−	2.18990i	−0.0990306	−	0.0990306i
$490$	3.44056	+	12.3799i	0.155429	+	0.559268i
$491$	−34.0388	−	14.0993i	−1.53615	−	0.636293i	−0.555402	−	0.831582i	$-0.687436\pi$
$491$	−34.0388	−	14.0993i	−1.53615	−	0.636293i	−0.980746	+	0.195288i	$0.937436\pi$
$492$	−14.6194	+	14.6194i	−0.659094	+	0.659094i
$493$	1.84299	−	13.9209i	0.0830041	−	0.626968i
$494$		−	6.50057i		−	0.292474i
$495$	−4.60927	−	1.51711i	−0.207172	−	0.0681891i
$496$	−4.41494	−	2.94997i	−0.198237	−	0.132457i
$497$		−	1.76279i		−	0.0790721i
$498$	−13.5673	+	20.3048i	−0.607963	+	0.909881i
$499$	19.3327	+	28.9334i	0.865449	+	1.29524i	0.954196	+	0.299181i	$0.0967136\pi$
$499$	19.3327	+	28.9334i	0.865449	+	1.29524i	−0.0887474	+	0.996054i	$0.528286\pi$
$500$	−0.311033	−	11.1760i	−0.0139098	−	0.499806i
$501$	11.9120	−	4.93412i	0.532190	−	0.220440i
$502$	−10.1036	+	24.3922i	−0.450944	+	1.08868i
$503$	−9.43438	−	14.1195i	−0.420658	−	0.629560i	0.559252	−	0.828998i	$-0.311088\pi$
$503$	−9.43438	−	14.1195i	−0.420658	−	0.629560i	−0.979910	+	0.199438i	$0.936088\pi$
$504$	0.601338	−	0.401801i	0.0267857	−	0.0178976i
$505$	5.57302	+	20.0530i	0.247996	+	0.892347i
$506$	−7.08103	+	7.08103i	−0.314790	+	0.314790i
$507$	20.2713	−	4.03222i	0.900281	−	0.179077i
$508$	−9.66056	+	4.00153i	−0.428618	+	0.177539i
$509$	22.5443			0.999260			0.499630	−	0.866239i	$-0.333469\pi$
$509$	22.5443			0.999260			0.499630	+	0.866239i	$0.333469\pi$
$510$	−8.93205	−	15.1697i	−0.395518	−	0.671728i
$511$	14.1936			0.627890
$512$	0.923880	−	0.382683i	0.0408301	−	0.0169124i
$513$	−19.4296	+	3.86478i	−0.857836	+	0.170634i
$514$	17.6029	−	17.6029i	0.776430	−	0.776430i
$515$	13.3211	−	23.5750i	0.586997	−	1.03884i
$516$	−10.5871	+	7.07406i	−0.466070	+	0.311418i
$517$	12.1294	+	18.1529i	0.533450	+	0.798364i
$518$	−3.62082	+	8.74144i	−0.159090	+	0.384077i
$519$	43.5494	−	18.0388i	1.91161	−	0.791814i
$520$	−3.27380	−	0.400152i	−0.143566	−	0.0175478i
$521$	17.8905	+	26.7751i	0.783798	+	1.17304i	0.981253	+	0.192725i	$0.0617325\pi$
$521$	17.8905	+	26.7751i	0.783798	+	1.17304i	−0.197455	+	0.980312i	$0.563268\pi$
$522$	1.22217	−	1.82911i	0.0534930	−	0.0800579i
$523$		−	1.61991i		−	0.0708338i	−0.999373	−	0.0354169i	$-0.988724\pi$
$523$		−	1.61991i		−	0.0708338i	0.999373	−	0.0354169i	$-0.0112759\pi$
$524$	−17.8371	−	11.9184i	−0.779219	−	0.520657i
$525$	−10.3751	−	2.57473i	−0.452807	−	0.112371i
$526$		−	23.7328i		−	1.03480i
$527$	13.3150	+	17.3784i	0.580008	+	0.757017i
$528$	−4.53624	+	4.53624i	−0.197414	+	0.197414i
$529$	13.0415	+	5.40196i	0.567021	+	0.234868i
$530$	−11.0591	−	6.24895i	−0.480377	−	0.271437i
$531$	−0.936417	−	0.936417i	−0.0406370	−	0.0406370i
$532$	−4.10305	−	2.74157i	−0.177890	−	0.118862i
$533$	3.11577	−	15.6640i	0.134959	−	0.678484i
$534$	−2.74058	+	13.7778i	−0.118597	+	0.596225i
$535$	−32.4542	−	10.6821i	−1.40312	−	0.461826i
$536$	3.86421	+	9.32903i	0.166908	+	0.402953i
$537$	−5.95235	+	3.97723i	−0.256863	+	0.171630i
$538$	22.8673	+	4.54858i	0.985878	+	0.196103i
$539$	−18.9352	+	3.76645i	−0.815597	+	0.162232i
$540$	0.750357	+	10.0230i	0.0322902	+	0.431320i
$541$	13.8851	−	20.7805i	0.596966	−	0.893423i	−0.402795	−	0.915290i	$-0.631961\pi$
$541$	13.8851	−	20.7805i	0.596966	−	0.893423i	0.999761	+	0.0218676i	$0.00696122\pi$
$542$	−9.97831	−	24.0898i	−0.428605	−	1.03474i
$543$	−15.5236	−	15.5236i	−0.666183	−	0.666183i
$544$	−4.11447	+	0.266683i	−0.176407	+	0.0114339i
$545$	2.61772	+	34.9665i	0.112131	+	1.49780i
$546$	−1.20678	+	2.91342i	−0.0516453	+	0.124683i
$547$	−4.19223	−	21.0757i	−0.179247	−	0.901134i	−0.960789	−	0.277281i	$-0.910567\pi$
$547$	−4.19223	−	21.0757i	−0.179247	−	0.901134i	0.781542	−	0.623853i	$-0.214433\pi$
$548$	−2.64002			−0.112776
$549$	−0.172209	−	0.865752i	−0.00734970	−	0.0369494i
$550$	16.7803	+	0.787591i	0.715514	+	0.0335830i
$551$	−14.7216	−	2.92831i	−0.627161	−	0.124750i
$552$	−5.25803	−	2.17795i	−0.223796	−	0.0926995i
$553$	−7.46915	−	3.09382i	−0.317620	−	0.131563i
$554$	11.7818	+	2.34354i	0.500560	+	0.0995677i
$555$	22.2283	+	28.4188i	0.943537	+	1.20631i
$556$	2.84793	+	14.3175i	0.120779	+	0.607198i
$557$	5.43306			0.230206			0.115103	−	0.993354i	$-0.463280\pi$
$557$	5.43306			0.230206			0.115103	+	0.993354i	$0.463280\pi$
$558$	0.669098	+	3.36378i	0.0283252	+	0.142400i
$559$	3.76403	−	9.08718i	0.159202	−	0.384347i
$560$	−1.63327	+	1.89761i	−0.0690184	+	0.0801886i
$561$	23.7313	−	11.6816i	1.00194	−	0.493198i
$562$	4.07894	+	4.07894i	0.172060	+	0.172060i
$563$	6.10535	+	14.7396i	0.257310	+	0.621201i	0.998759	−	0.0498086i	$-0.0158611\pi$
$563$	6.10535	+	14.7396i	0.257310	+	0.621201i	−0.741449	+	0.671009i	$0.765861\pi$
$564$	−6.89342	+	10.3167i	−0.290265	+	0.434413i
$565$	−10.5188	+	0.787476i	−0.442529	+	0.0331293i
$566$	24.1108	−	4.79594i	1.01345	−	0.201588i
$567$	11.5534	+	2.29811i	0.485196	+	0.0965115i
$568$	−1.30903	+	0.874669i	−0.0549259	+	0.0367003i
$569$	−0.933924	−	2.25469i	−0.0391521	−	0.0945216i	0.903094	−	0.429443i	$-0.141290\pi$
$569$	−0.933924	−	2.25469i	−0.0391521	−	0.0945216i	−0.942246	+	0.334922i	$0.891290\pi$
$570$	−16.7986	+	8.47874i	−0.703616	+	0.355135i
$571$	0.962934	−	4.84100i	0.0402975	−	0.202589i	−0.955392	−	0.295342i	$-0.904566\pi$
$571$	0.962934	−	4.84100i	0.0402975	−	0.202589i	0.995689	+	0.0927524i	$0.0295665\pi$
$572$	0.966787	−	4.86037i	0.0404234	−	0.203222i
$573$	21.4310	+	14.3197i	0.895294	+	0.598216i
$574$	−8.57281	−	8.57281i	−0.357822	−	0.357822i
$575$	5.05134	+	14.0208i	0.210655	+	0.584709i
$576$	−0.596748	−	0.247181i	−0.0248645	−	0.0102992i
$577$	0.136968	−	0.136968i	0.00570205	−	0.00570205i	−0.704250	−	0.709952i	$-0.748717\pi$
$577$	0.136968	−	0.136968i	0.00570205	−	0.00570205i	0.709952	+	0.704250i	$0.248717\pi$
$578$	16.4143	+	4.42372i	0.682747	+	0.184002i
$579$		−	25.4340i		−	1.05700i
$580$	−2.38096	+	7.23380i	−0.0988639	+	0.300367i
$581$	−11.9067	−	7.95583i	−0.493975	−	0.330063i
$582$			18.6996i			0.775124i
$583$	10.6035	−	15.8693i	0.439153	−	0.657239i
$584$	−7.04265	−	10.5401i	−0.291427	−	0.436151i
$585$	1.31248	+	1.67801i	0.0542646	+	0.0693771i
$586$	−4.21281	+	1.74500i	−0.174029	+	0.0720854i
$587$	−13.5512	+	32.7156i	−0.559319	+	1.35032i	0.350987	+	0.936380i	$0.385846\pi$
$587$	−13.5512	+	32.7156i	−0.559319	+	1.35032i	−0.910306	+	0.413936i	$0.864154\pi$
$588$	−6.09580	−	9.12301i	−0.251387	−	0.376226i
$589$	19.4576	−	13.0011i	0.801735	−	0.535702i
$590$	3.99140	+	2.25534i	0.164323	+	0.0928508i
$591$	14.9903	−	14.9903i	0.616618	−	0.616618i
$592$	8.28790	−	1.64857i	0.340631	−	0.0677557i
$593$	−0.226001	+	0.0936126i	−0.00928074	+	0.00384421i	−0.387319	−	0.921946i	$-0.626599\pi$
$593$	−0.226001	+	0.0936126i	−0.00928074	+	0.00384421i	0.378038	+	0.925790i	$0.376599\pi$
$594$	−15.1019			−0.619640
$595$	8.89553	−	5.23775i	0.364681	−	0.214727i
$596$	13.9002			0.569375
$597$	−18.7119	+	7.75074i	−0.765829	+	0.317217i
$598$	4.31187	−	0.857684i	0.176325	−	0.0350733i
$599$	3.76458	−	3.76458i	0.153817	−	0.153817i	−0.626004	−	0.779820i	$-0.715310\pi$
$599$	3.76458	−	3.76458i	0.153817	−	0.153817i	0.779820	+	0.626004i	$0.215310\pi$
$600$	3.23598	+	8.98200i	0.132108	+	0.366689i
$601$	16.4183	−	10.9704i	0.669716	−	0.447490i	−0.173666	−	0.984805i	$-0.555561\pi$
$601$	16.4183	−	10.9704i	0.669716	−	0.447490i	0.843382	+	0.537315i	$0.180561\pi$
$602$	−4.14822	−	6.20825i	−0.169069	−	0.253030i
$603$	2.49595	−	6.02576i	0.101643	−	0.245388i
$604$	16.1800	−	6.70198i	0.658355	−	0.272700i
$605$	−0.0781197	+	0.639128i	−0.00317602	+	0.0259842i
$606$	−9.87398	−	14.7775i	−0.401103	−	0.600293i
$607$	−7.21644	+	10.8002i	−0.292906	+	0.438365i	−0.948513	−	0.316737i	$-0.897413\pi$
$607$	−7.21644	+	10.8002i	−0.292906	+	0.438365i	0.655607	+	0.755102i	$0.272413\pi$
$608$			4.40721i			0.178736i
$609$	6.05430	+	4.04535i	0.245332	+	0.163926i
$610$	1.37692	+	2.72804i	0.0557498	+	0.110455i
$611$		−	9.58473i		−	0.387757i
$612$	2.00101	+	1.75741i	0.0808860	+	0.0710389i
$613$	−1.96205	+	1.96205i	−0.0792465	+	0.0792465i	−0.745619	−	0.666372i	$-0.767846\pi$
$613$	−1.96205	+	1.96205i	−0.0792465	+	0.0792465i	0.666372	+	0.745619i	$0.267846\pi$
$614$	−8.94798	−	3.70637i	−0.361111	−	0.149577i
$615$	−44.5425	+	12.3790i	−1.79613	+	0.499170i
$616$	−2.66005	−	2.66005i	−0.107176	−	0.107176i
$617$	10.3027	+	6.88403i	0.414771	+	0.277141i	0.745397	−	0.666621i	$-0.232260\pi$
$617$	10.3027	+	6.88403i	0.414771	+	0.277141i	−0.330626	+	0.943762i	$0.607260\pi$
$618$	−4.51102	+	22.6785i	−0.181460	+	0.912261i
$619$	−8.22848	+	41.3674i	−0.330731	+	1.66269i	0.355020	+	0.934859i	$0.384474\pi$
$619$	−8.22848	+	41.3674i	−0.330731	+	1.66269i	−0.685751	+	0.727836i	$0.740526\pi$
$620$	−5.34986	−	10.5995i	−0.214856	−	0.425685i
$621$	−5.12707	−	12.3778i	−0.205742	−	0.496706i
$622$	−15.6063	+	10.4278i	−0.625756	+	0.418117i
$623$	−8.07931	−	1.60708i	−0.323691	−	0.0643861i
$624$	2.76226	−	0.549448i	0.110579	−	0.0219955i
$625$	11.6884	−	22.0994i	0.467536	−	0.883974i
$626$	4.48099	−	6.70628i	0.179097	−	0.268037i
$627$	−10.8197	−	26.1210i	−0.432096	−	1.04317i
$628$	4.22349	+	4.22349i	0.168536	+	0.168536i
$629$	−34.5400	−	4.57274i	−1.37720	−	0.182327i
$630$	1.61266	−	0.120730i	0.0642500	−	0.00480999i
$631$	−11.2406	+	27.1372i	−0.447482	+	1.08032i	0.525780	+	0.850620i	$0.323773\pi$
$631$	−11.2406	+	27.1372i	−0.447482	+	1.08032i	−0.973262	+	0.229697i	$0.926227\pi$
$632$	1.40862	+	7.08163i	0.0560320	+	0.281692i
$633$	−1.32481			−0.0526563
$634$	−0.711735	−	3.57813i	−0.0282666	−	0.142106i
$635$	−23.2088	−	2.83677i	−0.921011	−	0.112574i
$636$	10.6385	+	2.11613i	0.421845	+	0.0839101i
$637$	7.83053	+	3.24351i	0.310257	+	0.128513i
$638$	−10.5716	−	4.37890i	−0.418533	−	0.173362i
$639$	0.997365	+	0.198388i	0.0394552	+	0.00784812i
$640$	2.21955	+	0.271292i	0.0877354	+	0.0107238i
$641$	4.01242	+	20.1718i	0.158481	+	0.796739i	0.975478	+	0.220097i	$0.0706373\pi$
$641$	4.01242	+	20.1718i	0.158481	+	0.796739i	−0.816997	+	0.576642i	$0.804363\pi$
$642$	29.1759			1.15148
$643$	5.44626	+	27.3802i	0.214779	+	1.07977i	0.926209	+	0.377011i	$0.123048\pi$
$643$	5.44626	+	27.3802i	0.214779	+	1.07977i	−0.711429	+	0.702758i	$0.751952\pi$
$644$	1.27715	−	3.08330i	0.0503266	−	0.121499i
$645$	−28.3923	+	2.12555i	−1.11795	+	0.0836936i
$646$	5.85347	−	17.2028i	0.230302	−	0.676835i
$647$	−4.09432	−	4.09432i	−0.160964	−	0.160964i	0.622029	−	0.782994i	$-0.286308\pi$
$647$	−4.09432	−	4.09432i	−0.160964	−	0.160964i	−0.782994	+	0.622029i	$0.786308\pi$
$648$	−4.02604	−	9.71971i	−0.158158	−	0.381826i
$649$	−3.82697	+	5.72747i	−0.150222	+	0.224823i
$650$	−5.93318	−	4.38027i	−0.232719	−	0.171808i
$651$	−11.1340	+	2.21470i	−0.436377	+	0.0868008i
$652$	−1.59078	−	0.316425i	−0.0622996	−	0.0123922i
$653$	−29.1504	+	19.4777i	−1.14074	+	0.762220i	−0.974616	−	0.223885i	$-0.928126\pi$
$653$	−29.1504	+	19.4777i	−1.14074	+	0.762220i	−0.166127	+	0.986104i	$0.553126\pi$
$654$	−11.4584	−	27.6630i	−0.448058	−	1.08171i
$655$	−21.6144	−	42.8238i	−0.844544	−	1.67326i
$656$	−2.11241	+	10.6198i	−0.0824756	+	0.414633i
$657$	−1.59738	+	8.03058i	−0.0623198	+	0.313303i
$658$	−6.04972	−	4.04229i	−0.235843	−	0.157585i
$659$	−31.0957	−	31.0957i	−1.21132	−	1.21132i	−0.970594	−	0.240723i	$-0.922615\pi$
$659$	−31.0957	−	31.0957i	−1.21132	−	1.21132i	−0.240723	−	0.970594i	$-0.577385\pi$
$660$	−13.8210	+	3.84106i	−0.537983	+	0.149513i
$661$	−11.7519	−	4.86779i	−0.457095	−	0.189335i	0.142242	−	0.989832i	$-0.454569\pi$
$661$	−11.7519	−	4.86779i	−0.457095	−	0.189335i	−0.599337	+	0.800497i	$0.704569\pi$
$662$	6.09656	−	6.09656i	0.236949	−	0.236949i
$663$	−11.5118	−	1.52404i	−0.447080	−	0.0591888i
$664$			12.7894i			0.496324i
$665$	−4.97193	−	9.85069i	−0.192803	−	0.381993i
$666$	−4.53829	−	3.03239i	−0.175855	−	0.117503i
$667$		−	10.1513i		−	0.393060i
$668$	3.75151	−	5.61453i	0.145150	−	0.217233i
$669$	15.6766	+	23.4617i	0.606092	+	0.907081i
$670$	−2.73942	+	22.4123i	−0.105833	+	0.865862i
$671$	−4.24197	+	1.75708i	−0.163759	+	0.0678313i
$672$	0.818163	−	1.97522i	0.0315613	−	0.0761957i
$673$	−5.34146	−	7.99406i	−0.205898	−	0.308148i	0.714121	−	0.700023i	$-0.246827\pi$
$673$	−5.34146	−	7.99406i	−0.205898	−	0.308148i	−0.920019	+	0.391874i	$0.871827\pi$
$674$	−14.9773	+	10.0075i	−0.576903	+	0.385474i
$675$	−9.56476	+	20.3379i	−0.368148	+	0.782807i
$676$	7.65402	−	7.65402i	0.294385	−	0.294385i
$677$	−46.7110	+	9.29139i	−1.79525	+	0.357097i	−0.976242	−	0.216685i	$-0.930476\pi$
$677$	−46.7110	+	9.29139i	−1.79525	+	0.357097i	−0.819008	+	0.573782i	$0.805476\pi$
$678$	8.32173	−	3.44697i	0.319594	−	0.132380i
$679$	−10.9654			−0.420815
$680$	−8.30332	−	4.00686i	−0.318418	−	0.153656i
$681$	−19.8952			−0.762385
$682$	16.4817	−	6.82693i	0.631116	−	0.261417i
$683$	−28.1556	+	5.60049i	−1.07734	+	0.214297i	−0.701703	−	0.712469i	$-0.747577\pi$
$683$	−28.1556	+	5.60049i	−1.07734	+	0.214297i	−0.375639	+	0.926766i	$0.622577\pi$
$684$	2.01291	−	2.01291i	0.0769656	−	0.0769656i
$685$	−5.13953	−	2.90409i	−0.196371	−	0.110960i
$686$	11.8666	−	7.92903i	0.453070	−	0.302732i
$687$	−31.2201	−	46.7242i	−1.19112	−	1.78264i
$688$	−2.55191	+	6.16087i	−0.0972908	+	0.234881i
$689$	−7.74117	+	3.20650i	−0.294915	+	0.122158i
$690$	−7.84041	−	10.0239i	−0.298479	−	0.381605i
$691$	0.0404553	+	0.0605456i	0.00153899	+	0.00230326i	0.832238	−	0.554418i	$-0.187059\pi$
$691$	0.0404553	+	0.0605456i	0.00153899	+	0.00230326i	−0.830699	+	0.556721i	$0.812059\pi$
$692$	13.7152	−	20.5263i	0.521374	−	0.780292i
$693$			2.42985i			0.0923025i
$694$	11.5751	+	7.73424i	0.439385	+	0.293588i
$695$	−10.2054	+	31.0058i	−0.387111	+	1.17612i
$696$		−	6.50310i		−	0.246499i
$697$	22.3502	−	38.6469i	0.846573	−	1.46386i
$698$	−3.72540	+	3.72540i	−0.141008	+	0.141008i
$699$	41.7189	+	17.2805i	1.57795	+	0.653609i
$700$	−5.26704	+	1.89758i	−0.199075	+	0.0717216i
$701$	26.6757	+	26.6757i	1.00753	+	1.00753i	0.999971	+	0.00755517i	$0.00240491\pi$
$701$	26.6757	+	26.6757i	1.00753	+	1.00753i	0.00755517	+	0.999971i	$0.497595\pi$
$702$	5.51263	+	3.68342i	0.208061	+	0.139022i
$703$	−7.26558	+	36.5265i	−0.274027	+	1.37762i
$704$	−0.655456	+	3.29520i	−0.0247034	+	0.124192i
$705$	−24.7686	+	12.5014i	−0.932840	+	0.470831i
$706$	−1.76221	−	4.25436i	−0.0663218	−	0.160115i
$707$	8.66549	−	5.79010i	0.325899	−	0.217759i
$708$	−3.83960	−	0.763743i	−0.144301	−	0.0287032i
$709$	−20.1900	+	4.01603i	−0.758250	+	0.150825i	−0.559050	−	0.829134i	$-0.688834\pi$
$709$	−20.1900	+	4.01603i	−0.758250	+	0.150825i	−0.199200	+	0.979959i	$0.563834\pi$
$710$	−3.51056	+	0.262813i	−0.131749	+	0.00986320i
$711$	2.59104	−	3.87776i	0.0971715	−	0.145427i
$712$	2.81542	+	6.79703i	0.105512	+	0.254729i
$713$	11.1910	+	11.1910i	0.419105	+	0.419105i
$714$	−5.81696	+	6.62329i	−0.217694	+	0.247870i
$715$	7.22865	−	8.39856i	0.270336	−	0.314088i
$716$	−1.43476	+	3.46381i	−0.0536194	+	0.129449i
$717$	1.91549	+	9.62982i	0.0715353	+	0.359632i
$718$	2.91610			0.108828
$719$	5.54702	+	27.8868i	0.206869	+	1.04000i	0.935023	+	0.354587i	$0.115379\pi$
$719$	5.54702	+	27.8868i	0.206869	+	1.04000i	−0.728154	+	0.685414i	$0.759621\pi$
$720$	−0.889830	−	1.13765i	−0.0331620	−	0.0423975i
$721$	−13.2986	−	2.64526i	−0.495267	−	0.0985147i
$722$	−0.391274	−	0.162071i	−0.0145617	−	0.00603165i
$723$	35.9487	+	14.8905i	1.33695	+	0.553782i
$724$	−11.2766	−	2.24306i	−0.419092	−	0.0833627i
$725$	−12.5926	+	11.4635i	−0.467676	+	0.425743i
$726$	−0.107266	−	0.539262i	−0.00398101	−	0.0200139i
$727$	7.47251			0.277140			0.138570	−	0.990353i	$-0.455749\pi$
$727$	7.47251			0.277140			0.138570	+	0.990353i	$0.455749\pi$
$728$	0.322196	+	1.61979i	0.0119414	+	0.0600333i
$729$	7.25300	−	17.5103i	0.268630	−	0.648529i
$730$	−2.11612	−	28.2663i	−0.0783210	−	1.04618i
$731$	18.1436	−	20.6586i	0.671064	−	0.764084i
$732$	−1.84515	−	1.84515i	−0.0681988	−	0.0681988i
$733$	−9.04922	−	21.8467i	−0.334240	−	0.806928i	−0.998246	−	0.0592002i	$-0.981145\pi$
$733$	−9.04922	−	21.8467i	−0.334240	−	0.806928i	0.664006	−	0.747727i	$-0.268855\pi$
$734$	15.3924	−	23.0363i	0.568143	−	0.850286i
$735$	−1.83161	−	24.4660i	−0.0675601	−	0.902442i
$736$	−2.92333	+	0.581487i	−0.107755	+	0.0214339i
$737$	−33.2738	−	6.61857i	−1.22566	−	0.243798i
$738$	5.81519	−	3.88558i	0.214060	−	0.143030i
$739$	7.78459	+	18.7937i	0.286361	+	0.691336i	0.999957	−	0.00922058i	$-0.00293504\pi$
$739$	7.78459	+	18.7937i	0.286361	+	0.691336i	−0.713597	+	0.700557i	$0.752935\pi$
$740$	17.9482	+	5.90752i	0.659788	+	0.217165i
$741$	−2.42153	+	12.1739i	−0.0889572	+	0.447218i
$742$	−1.24090	+	6.23842i	−0.0455548	+	0.229020i
$743$	14.1942	+	9.48428i	0.520736	+	0.347944i	0.787996	−	0.615680i	$-0.211118\pi$
$743$	14.1942	+	9.48428i	0.520736	+	0.347944i	−0.267261	+	0.963624i	$0.586118\pi$
$744$	7.16913	+	7.16913i	0.262833	+	0.262833i
$745$	27.0606	+	15.2906i	0.991425	+	0.560205i
$746$	26.8344	+	11.1152i	0.982479	+	0.406956i
$747$	5.84131	−	5.84131i	0.213722	−	0.213722i
$748$	6.93500	−	11.9917i	0.253569	−	0.438460i
$749$			17.1087i			0.625139i
$750$	−3.58070	+	21.0456i	−0.130749	+	0.768477i
$751$	26.6454	+	17.8039i	0.972304	+	0.649673i	0.936862	−	0.349699i	$-0.113716\pi$
$751$	26.6454	+	17.8039i	0.972304	+	0.649673i	0.0354419	+	0.999372i	$0.488716\pi$
$752$			6.49819i			0.236965i
$753$	28.0077	−	41.9165i	1.02066	−	1.52752i
$754$	2.79090	+	4.17687i	0.101638	+	0.152113i
$755$	38.8712	+	4.75118i	1.41467	+	0.172913i
$756$	4.64983	−	1.92602i	0.169113	−	0.0700488i
$757$	5.53472	−	13.3620i	0.201163	−	0.485650i	−0.790816	−	0.612054i	$-0.790343\pi$
$757$	5.53472	−	13.3620i	0.201163	−	0.485650i	0.991979	+	0.126404i	$0.0403435\pi$
$758$	4.76330	+	7.12879i	0.173011	+	0.258929i
$759$	15.8987	−	10.6232i	0.577086	−	0.385596i
$760$	−4.84805	+	8.57986i	−0.175857	+	0.311224i
$761$	1.08983	−	1.08983i	0.0395062	−	0.0395062i	−0.687078	−	0.726584i	$-0.741107\pi$
$761$	1.08983	−	1.08983i	0.0395062	−	0.0395062i	0.726584	+	0.687078i	$0.241107\pi$
$762$	19.5823	−	3.89517i	0.709393	−	0.141107i
$763$	16.2215	−	6.71918i	0.587259	−	0.243251i
$764$	13.4987			0.488367
$765$	1.96233	+	5.62244i	0.0709481	+	0.203280i
$766$	6.68340			0.241481
$767$	2.79390	−	1.15727i	0.100882	−	0.0417867i
$768$	−1.87274	+	0.372511i	−0.0675766	+	0.0134418i
$769$	−30.1734	+	30.1734i	−1.08808	+	1.08808i	−0.0923529	+	0.995726i	$0.529439\pi$
$769$	−30.1734	+	30.1734i	−1.08808	+	1.08808i	−0.995726	+	0.0923529i	$0.970561\pi$
$770$	−2.25240	−	8.10464i	−0.0811708	−	0.292071i
$771$	−39.5229	+	26.4083i	−1.42338	+	0.951073i
$772$	−7.40031	−	11.0753i	−0.266343	−	0.398611i
$773$	8.01967	−	19.3612i	0.288448	−	0.696374i	−0.711533	−	0.702653i	$-0.751999\pi$
$773$	8.01967	−	19.3612i	0.288448	−	0.696374i	0.999980	+	0.00627901i	$0.00199869\pi$
$774$	3.97940	−	1.64832i	0.143036	−	0.0592477i
$775$	1.24472	−	26.5198i	0.0447117	−	0.952620i
$776$	5.44087	+	8.14284i	0.195316	+	0.292311i
$777$	10.0371	−	15.0216i	0.360080	−	0.538898i
$778$		−	22.8803i		−	0.820297i
$779$	−39.6782	−	26.5121i	−1.42162	−	0.949895i
$780$	5.98191	+	1.96891i	0.214187	+	0.0704982i
$781$		−	5.28947i		−	0.189272i
$782$	12.1830	+	1.61291i	0.435665	+	0.0576775i
$783$	10.8250	−	10.8250i	0.386854	−	0.386854i
$784$	−5.30889	−	2.19901i	−0.189603	−	0.0785362i
$785$	3.57625	+	12.8682i	0.127642	+	0.459284i
$786$	28.9646	+	28.9646i	1.03313	+	1.03313i
$787$	−9.86467	−	6.59136i	−0.351638	−	0.234957i	0.367189	−	0.930146i	$-0.380320\pi$
$787$	−9.86467	−	6.59136i	−0.351638	−	0.234957i	−0.718826	+	0.695190i	$0.755320\pi$
$788$	2.16600	−	10.8892i	0.0771604	−	0.387911i
$789$	−8.84071	+	44.4452i	−0.314738	+	1.58229i
$790$	−5.04770	+	15.3359i	−0.179589	+	0.545626i
$791$	2.02130	+	4.87985i	0.0718692	+	0.173508i
$792$	1.80439	−	1.20565i	0.0641161	−	0.0428410i
$793$	1.97699	+	0.393249i	0.0702051	+	0.0139647i
$794$	−5.05339	+	1.00518i	−0.179338	+	0.0356725i
$795$	18.3830	+	15.8223i	0.651979	+	0.561159i
$796$	−5.89304	+	8.81955i	−0.208873	+	0.312601i
$797$	6.49555	+	15.6816i	0.230084	+	0.555472i	0.996187	−	0.0872460i	$-0.0278066\pi$
$797$	6.49555	+	15.6816i	0.230084	+	0.555472i	−0.766103	+	0.642718i	$0.777807\pi$
$798$	6.66268	+	6.66268i	0.235856	+	0.235856i
$799$	8.63062	−	25.3646i	0.305329	−	0.897335i
$800$	4.02254	+	2.96971i	0.142218	+	0.104995i
$801$	1.81852	−	4.39031i	0.0642544	−	0.155124i
$802$	−1.50164	−	7.54925i	−0.0530248	−	0.266573i
$803$	42.5897			1.50296
$804$	−3.76149	−	18.9103i	−0.132658	−	0.666915i
$805$	5.87803	−	4.59761i	0.207173	−	0.162044i
$806$	−7.68139	−	1.52792i	−0.270565	−	0.0538188i
$807$	−41.1300	−	17.0366i	−1.44785	−	0.599717i
$808$	−8.59935	−	3.56197i	−0.302524	−	0.125310i
$809$	45.7502	+	9.10028i	1.60849	+	0.319949i	0.915908	−	0.401389i	$-0.131473\pi$
$809$	45.7502	+	9.10028i	1.60849	+	0.319949i	0.692583	+	0.721338i	$0.256473\pi$
$810$	2.85414	−	23.3509i	0.100284	−	0.820466i
$811$	0.674470	+	3.39079i	0.0236838	+	0.119067i	0.990819	−	0.135197i	$-0.0431668\pi$
$811$	0.674470	+	3.39079i	0.0236838	+	0.119067i	−0.967135	+	0.254264i	$0.918167\pi$
$812$	3.81341			0.133825
$813$	9.71307	+	48.8309i	0.340652	+	1.71257i
$814$	−10.8647	+	26.2297i	−0.380808	+	0.919351i
$815$	−2.74881	−	2.36591i	−0.0962867	−	0.0828741i
$816$	7.80467	+	1.03326i	0.273218	+	0.0361713i
$817$	−20.7814	−	20.7814i	−0.727050	−	0.727050i
$818$	−7.46089	−	18.0122i	−0.260864	−	0.629781i
$819$	0.592650	−	0.886964i	0.0207089	−	0.0309930i
$820$	−15.7944	+	18.3506i	−0.551565	+	0.640832i
$821$	24.0144	−	4.77676i	0.838108	−	0.166710i	0.242667	−	0.970110i	$-0.421978\pi$
$821$	24.0144	−	4.77676i	0.838108	−	0.166710i	0.595440	+	0.803400i	$0.296978\pi$
$822$	4.94406	+	0.983436i	0.172444	+	0.0343013i
$823$	20.5783	−	13.7500i	0.717314	−	0.479294i	−0.142569	−	0.989785i	$-0.545536\pi$
$823$	20.5783	−	13.7500i	0.717314	−	0.479294i	0.859883	+	0.510491i	$0.170536\pi$
$824$	4.63421	+	11.1880i	0.161440	+	0.389752i
$825$	−31.1317	−	7.72580i	−1.08387	−	0.268978i
$826$	0.447859	−	2.25154i	0.0155830	−	0.0783410i
$827$	2.67750	−	13.4607i	0.0931059	−	0.468075i	−0.905900	−	0.423492i	$-0.860804\pi$
$827$	2.67750	−	13.4607i	0.0931059	−	0.468075i	0.999006	−	0.0445827i	$-0.0141958\pi$
$828$	1.60076	+	1.06959i	0.0556302	+	0.0371709i
$829$	29.3526	+	29.3526i	1.01946	+	1.01946i	0.999807	+	0.0196510i	$0.00625552\pi$
$829$	29.3526	+	29.3526i	1.01946	+	1.01946i	0.0196510	+	0.999807i	$0.493744\pi$
$830$	−14.0687	+	24.8981i	−0.488330	+	0.864225i
$831$	−21.1912	−	8.77769i	−0.735115	−	0.304495i
$832$	1.04297	−	1.04297i	0.0361585	−	0.0361585i
$833$	17.8017	+	15.6345i	0.616793	+	0.541704i
$834$		−	27.8738i		−	0.965192i
$835$	13.4795	−	6.80348i	0.466477	−	0.235444i
$836$	−12.3117	−	8.22641i	−0.425809	−	0.284516i
$837$			23.8673i			0.824975i
$838$	18.8680	−	28.2379i	0.651784	−	0.975463i
$839$	7.97729	+	11.9389i	0.275407	+	0.412175i	0.943228	−	0.332147i	$-0.107773\pi$
$839$	7.97729	+	11.9389i	0.275407	+	0.412175i	−0.667821	+	0.744322i	$0.732773\pi$
$840$	3.76557	−	2.94531i	0.129925	−	0.101623i
$841$	−16.0761	+	6.65893i	−0.554348	+	0.229618i
$842$	−3.60610	+	8.70589i	−0.124274	+	0.300025i
$843$	−6.11934	−	9.15824i	−0.210761	−	0.315426i
$844$	−0.576893	+	0.385468i	−0.0198575	+	0.0132683i
$845$	23.3203	−	6.48105i	0.802243	−	0.222955i
$846$	2.96793	−	2.96793i	0.102039	−	0.102039i
$847$	0.316223	−	0.0629007i	0.0108656	−	0.00216129i
$848$	5.24831	−	2.17392i	0.180228	−	0.0746527i
$849$	−46.9398			−1.61097
$850$	−11.7571	−	16.9343i	−0.403264	−	0.580843i
$851$	−25.1869			−0.863396
$852$	2.77730	−	1.15040i	0.0951489	−	0.0394119i
$853$	−14.3826	+	2.86088i	−0.492451	+	0.0979547i	−0.435068	−	0.900398i	$-0.643276\pi$
$853$	−14.3826	+	2.86088i	−0.492451	+	0.0979547i	−0.0573833	+	0.998352i	$0.518276\pi$
$854$	1.08200	−	1.08200i	0.0370252	−	0.0370252i
$855$	6.13294	−	1.70443i	0.209742	−	0.0582904i
$856$	12.7048	−	8.48906i	0.434241	−	0.290150i
$857$	−8.73823	−	13.0777i	−0.298492	−	0.446725i	0.651660	−	0.758511i	$-0.274073\pi$
$857$	−8.73823	−	13.0777i	−0.298492	−	0.446725i	−0.950152	+	0.311786i	$0.899073\pi$
$858$	−3.62108	+	8.74206i	−0.123622	+	0.298449i
$859$	24.7885	−	10.2677i	0.845773	−	0.350331i	0.0826457	−	0.996579i	$-0.473663\pi$
$859$	24.7885	−	10.2677i	0.845773	−	0.350331i	0.763127	+	0.646248i	$0.223663\pi$
$860$	−11.7451	+	9.18666i	−0.400505	+	0.313263i
$861$	12.8612	+	19.2481i	0.438308	+	0.655974i
$862$	0.957493	−	1.43299i	0.0326123	−	0.0488078i
$863$		−	37.9589i		−	1.29214i	−0.763280	−	0.646068i	$-0.776412\pi$
$863$		−	37.9589i		−	1.29214i	0.763280	−	0.646068i	$-0.223588\pi$
$864$	−3.73742	−	2.49726i	−0.127150	−	0.0849586i
$865$	49.2799	−	24.8730i	1.67557	−	0.845707i
$866$		−	12.9050i		−	0.438531i
$867$	−29.0919	−	14.3990i	−0.988013	−	0.489015i
$868$	−4.20397	+	4.20397i	−0.142692	+	0.142692i
$869$	−22.4121	−	9.28338i	−0.760277	−	0.314917i
$870$	7.15358	−	12.6601i	0.242529	−	0.429217i
$871$	10.5316	+	10.5316i	0.356849	+	0.356849i
$872$	−13.0385	−	8.71203i	−0.441538	−	0.295026i
$873$	1.23407	−	6.20410i	0.0417670	−	0.209977i
$874$	2.56273	−	12.8837i	0.0866858	−	0.435799i
$875$	−12.3411	−	2.09972i	−0.417206	−	0.0709835i
$876$	9.26276	+	22.3623i	0.312960	+	0.755551i
$877$	33.4685	−	22.3629i	1.13015	−	0.755142i	0.157524	−	0.987515i	$-0.449649\pi$
$877$	33.4685	−	22.3629i	1.13015	−	0.755142i	0.972627	+	0.232373i	$0.0746490\pi$
$878$	12.2761	+	2.44186i	0.414297	+	0.0824089i
$879$	8.53952	−	1.69862i	0.288031	−	0.0572929i
$880$	−4.90083	+	5.69400i	−0.165207	+	0.191945i
$881$	−12.0158	+	17.9829i	−0.404822	+	0.605858i	−0.976733	−	0.214457i	$-0.931202\pi$
$881$	−12.0158	+	17.9829i	−0.404822	+	0.605858i	0.571912	+	0.820315i	$0.306202\pi$
$882$	1.42038	+	3.42909i	0.0478266	+	0.115464i
$883$	2.48050	+	2.48050i	0.0834755	+	0.0834755i	0.747612	−	0.664136i	$-0.231200\pi$
$883$	2.48050	+	2.48050i	0.0834755	+	0.0834755i	−0.664136	+	0.747612i	$0.731200\pi$
$884$	−5.45629	+	2.68583i	−0.183515	+	0.0903343i
$885$	−6.63470	−	5.71050i	−0.223023	−	0.191956i
$886$	−7.96943	+	19.2399i	−0.267738	+	0.646377i
$887$	1.20388	+	6.05231i	0.0404223	+	0.203217i	0.995719	−	0.0924323i	$-0.0294642\pi$
$887$	1.20388	+	6.05231i	0.0404223	+	0.203217i	−0.955297	+	0.295649i	$0.904464\pi$
$888$	−16.1352			−0.541461
$889$	2.28412	+	11.4831i	0.0766070	+	0.385129i
$890$	−1.99591	+	16.3293i	−0.0669031	+	0.547361i
$891$	34.6673	+	6.89575i	1.16140	+	0.231016i
$892$	13.6529	+	5.65522i	0.457133	+	0.189351i
$893$	−26.4589	−	10.9596i	−0.885413	−	0.366750i
$894$	−26.0315	−	5.17798i	−0.870623	−	0.173178i
$895$	−6.60343	+	5.16500i	−0.220728	+	0.172647i
$896$	−0.218440	−	1.09817i	−0.00729757	−	0.0366874i
$897$	−8.39450			−0.280284
$898$	3.43413	+	17.2646i	0.114598	+	0.576126i
$899$	−6.92047	+	16.7075i	−0.230810	+	0.557226i
$900$	−0.480861	−	3.19358i	−0.0160287	−	0.106453i
$901$	−23.3732	+	1.51495i	−0.778674	+	0.0504704i
$902$	−25.7237	−	25.7237i	−0.856507	−	0.856507i
$903$	5.45589	+	13.1717i	0.181561	+	0.438327i
$904$	2.62080	−	3.92230i	0.0871665	−	0.130454i
$905$	−19.4857	−	16.7713i	−0.647725	−	0.557498i
$906$	−32.7975	+	6.52383i	−1.08962	+	0.216740i
$907$	−23.0034	−	4.57567i	−0.763816	−	0.151933i	−0.202216	−	0.979341i	$-0.564814\pi$
$907$	−23.0034	−	4.57567i	−0.763816	−	0.151933i	−0.561601	+	0.827408i	$0.689814\pi$
$908$	−8.66345	+	5.78873i	−0.287507	+	0.192106i
$909$	2.30073	+	5.55445i	0.0763103	+	0.184229i
$910$	−1.15457	+	3.50779i	−0.0382735	+	0.116282i
$911$	6.15409	−	30.9387i	0.203894	−	1.02504i	−0.734271	−	0.678856i	$-0.762476\pi$
$911$	6.15409	−	30.9387i	0.203894	−	1.02504i	0.938165	−	0.346188i	$-0.112524\pi$
$912$	1.64173	−	8.25356i	0.0543633	−	0.273303i
$913$	−35.7276	−	23.8724i	−1.18241	−	0.790061i
$914$	20.4160	+	20.4160i	0.675301	+	0.675301i
$915$	−1.56239	−	5.62182i	−0.0516509	−	0.185852i
$916$	−27.1899	−	11.2624i	−0.898379	−	0.372121i
$917$	−16.9848	+	16.9848i	−0.560887	+	0.560887i
$918$	11.2716	+	14.7115i	0.372019	+	0.485553i
$919$			6.15043i			0.202884i	0.994841	+	0.101442i	$0.0323456\pi$
$919$			6.15043i			0.202884i	−0.994841	+	0.101442i	$0.967654\pi$
$920$	−6.33073	−	2.08372i	−0.208718	−	0.0686981i
$921$	15.3766	+	10.2743i	0.506675	+	0.338549i
$922$			12.2815i			0.404469i
$923$	−1.29012	+	1.93081i	−0.0424649	+	0.0635532i
$924$	3.99068	+	5.97247i	0.131284	+	0.196480i
$925$	28.4427	+	31.2441i	0.935189	+	1.02730i
$926$	6.96731	−	2.88595i	0.228960	−	0.0948384i
$927$	2.99331	−	7.22648i	0.0983131	−	0.237349i
$928$	−1.89215	−	2.83181i	−0.0621130	−	0.0929586i
$929$	28.9299	−	19.3303i	0.949158	−	0.634207i	0.0183953	−	0.999831i	$-0.494144\pi$
$929$	28.9299	−	19.3303i	0.949158	−	0.634207i	0.930763	+	0.365624i	$0.119144\pi$
$930$	6.07047	+	21.8429i	0.199059	+	0.716258i
$931$	17.9076	−	17.9076i	0.586898	−	0.586898i
$932$	23.1946	−	4.61370i	0.759766	−	0.151127i
$933$	33.1110	−	13.7150i	1.08401	−	0.449010i
$934$	−29.1080			−0.952441
$935$	26.6921	−	15.7165i	0.872925	−	0.513984i
$936$	−0.952715			−0.0311405
$937$	−5.72576	+	2.37169i	−0.187052	+	0.0774797i	−0.474244	−	0.880394i	$-0.657278\pi$
$937$	−5.72576	+	2.37169i	−0.187052	+	0.0774797i	0.287191	+	0.957873i	$0.407278\pi$
$938$	11.0890	−	2.20574i	0.362068	−	0.0720198i
$939$	−10.8899	+	10.8899i	−0.355378	+	0.355378i
$940$	−7.14818	+	12.6505i	−0.233148	+	0.412615i
$941$	−23.6256	+	15.7861i	−0.770171	+	0.514612i	−0.877480	−	0.479614i	$-0.840777\pi$
$941$	−23.6256	+	15.7861i	−0.770171	+	0.514612i	0.107308	+	0.994226i	$0.465777\pi$
$942$	−6.33620	−	9.48280i	−0.206445	−	0.308966i
$943$	12.3505	−	29.8168i	0.402188	−	0.970969i
$944$	−1.89419	+	0.784600i	−0.0616507	+	0.0255365i
$945$	11.1709	+	1.36540i	0.363388	+	0.0444164i
$946$	−12.4472	−	18.6286i	−0.404695	−	0.605668i
$947$	0.756170	−	1.13169i	0.0245722	−	0.0367749i	−0.818980	−	0.573822i	$-0.805460\pi$
$947$	0.756170	−	1.13169i	0.0245722	−	0.0367749i	0.843552	+	0.537047i	$0.180460\pi$
$948$		−	13.7868i		−	0.447773i
$949$	−15.5464	−	10.3878i	−0.504659	−	0.337202i
$950$	−18.8761	+	11.3701i	−0.612423	+	0.368895i
$951$			6.96604i			0.225889i
$952$	−0.605902	+	4.57665i	−0.0196374	+	0.148330i
$953$	−9.60650	+	9.60650i	−0.311185	+	0.311185i	−0.845368	−	0.534184i	$-0.820619\pi$
$953$	−9.60650	+	9.60650i	−0.311185	+	0.311185i	0.534184	+	0.845368i	$0.320619\pi$
$954$	−3.38996	−	1.40417i	−0.109754	−	0.0454616i
$955$	26.2790	+	14.8490i	0.850370	+	0.480501i
$956$	3.63602	+	3.63602i	0.117597	+	0.117597i
$957$	18.1666	+	12.1386i	0.587244	+	0.392384i
$958$	−4.41532	+	22.1973i	−0.142652	+	0.717162i
$959$	−0.576686	+	2.89920i	−0.0186222	+	0.0936199i
$960$	−4.05558	−	1.33487i	−0.130893	−	0.0430826i
$961$	1.07381	+	2.59240i	0.0346390	+	0.0836259i
$962$	10.3635	−	6.92464i	0.334131	−	0.223259i
$963$	−9.67989	−	1.92545i	−0.311930	−	0.0620468i
$964$	19.9866	−	3.97558i	0.643725	−	0.128045i
$965$	−2.22358	−	29.7018i	−0.0715797	−	0.956134i
$966$	−3.54032	+	5.29847i	−0.113908	+	0.170475i
$967$	−3.01658	−	7.28267i	−0.0970067	−	0.234195i	0.867925	−	0.496695i	$-0.165453\pi$
$967$	−3.01658	−	7.28267i	−0.0970067	−	0.234195i	−0.964932	+	0.262500i	$0.915453\pi$
$968$	−0.203614	−	0.203614i	−0.00654441	−	0.00654441i
$969$	−17.3703	+	30.0359i	−0.558013	+	0.964892i
$970$	1.63483	+	21.8374i	0.0524911	+	0.701156i
$971$	−18.9760	+	45.8122i	−0.608970	+	1.47018i	0.255152	+	0.966901i	$0.417875\pi$
$971$	−18.9760	+	45.8122i	−0.608970	+	1.47018i	−0.864122	+	0.503283i	$0.832125\pi$
$972$	1.28825	+	6.47647i	0.0413206	+	0.207733i
$973$	16.3452			0.524003
$974$	0.600779	+	3.02032i	0.0192502	+	0.0967773i
$975$	9.47960	+	10.4133i	0.303590	+	0.333492i
$976$	−1.34035	−	0.266612i	−0.0429036	−	0.00853405i
$977$	49.1330	+	20.3516i	1.57190	+	0.651104i	0.987105	−	0.160073i	$-0.0511730\pi$
$977$	49.1330	+	20.3516i	1.57190	+	0.651104i	0.584800	+	0.811178i	$0.301173\pi$
$978$	2.86124	+	1.18516i	0.0914923	+	0.0378974i
$979$	−24.2429	−	4.82222i	−0.774808	−	0.154119i
$980$	−7.91625	−	10.1209i	−0.252875	−	0.323301i
$981$	1.97602	+	9.93413i	0.0630895	+	0.317172i
$982$	36.8433			1.17572
$983$	−5.29115	−	26.6004i	−0.168761	−	0.848421i	−0.968680	−	0.248313i	$-0.920124\pi$
$983$	−5.29115	−	26.6004i	−0.168761	−	0.848421i	0.799918	−	0.600109i	$-0.204876\pi$
$984$	7.91197	−	19.1012i	0.252224	−	0.608923i
$985$	16.1951	−	18.8162i	0.516019	−	0.599533i
$986$	3.62461	+	13.5666i	0.115431	+	0.432047i
$987$	9.82375	+	9.82375i	0.312693	+	0.312693i
$988$	2.48766	+	6.00574i	0.0791430	+	0.191068i
$989$	11.0426	−	16.5263i	0.351133	−	0.525507i
$990$	4.83899	−	0.362264i	0.153793	−	0.0115135i
$991$	−24.0535	+	4.78455i	−0.764086	+	0.151986i	−0.561724	−	0.827325i	$-0.689862\pi$
$991$	−24.0535	+	4.78455i	−0.764086	+	0.151986i	−0.202362	+	0.979311i	$0.564862\pi$
$992$	5.20778	+	1.03589i	0.165347	+	0.0328896i
$993$	−13.6883	+	9.14622i	−0.434385	+	0.290247i
$994$	0.674592	+	1.62861i	0.0213968	+	0.0516563i
$995$	−21.1742	+	10.6872i	−0.671266	+	0.338807i
$996$	4.76419	−	23.9512i	0.150959	−	0.758922i
$997$	5.06972	−	25.4872i	0.160560	−	0.807188i	−0.813617	−	0.581401i	$-0.802505\pi$
$997$	5.06972	−	25.4872i	0.160560	−	0.807188i	0.974177	−	0.225787i	$-0.0724953\pi$
$998$	−28.9334	−	19.3327i	−0.915870	−	0.611965i
$999$	−26.8585	−	26.8585i	−0.849764	−	0.849764i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	170.2.o.b.27.4	✓	40
5.2	odd	4		850.2.v.d.843.2		40
5.3	odd	4		170.2.r.b.163.4	yes	40
5.4	even	2		850.2.s.d.707.2		40
17.12	odd	16		170.2.r.b.97.4	yes	40
85.12	even	16		850.2.s.d.743.2		40
85.29	odd	16		850.2.v.d.607.2		40
85.63	even	16	inner	170.2.o.b.63.4	yes	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
170.2.o.b.27.4	✓	40	1.1	even	1	trivial
170.2.o.b.63.4	yes	40	85.63	even	16	inner
170.2.r.b.97.4	yes	40	17.12	odd	16
170.2.r.b.163.4	yes	40	5.3	odd	4
850.2.s.d.707.2		40	5.4	even	2
850.2.s.d.743.2		40	85.12	even	16
850.2.v.d.607.2		40	85.29	odd	16
850.2.v.d.843.2		40	5.2	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)

\(f(q)\)	\(=\)	\(q+(-0.923880 + 0.382683i) q^{2} +(1.87274 - 0.372511i) q^{3} +(0.707107 - 0.707107i) q^{4} +(2.15442 - 0.598743i) q^{5} +(-1.58763 + 1.06082i) q^{6} +(-0.622065 - 0.930986i) q^{7} +(-0.382683 + 0.923880i) q^{8} +(0.596748 - 0.247181i) q^{9} +O(q^{10})\)	\(q+(-0.923880 + 0.382683i) q^{2} +(1.87274 - 0.372511i) q^{3} +(0.707107 - 0.707107i) q^{4} +(2.15442 - 0.598743i) q^{5} +(-1.58763 + 1.06082i) q^{6} +(-0.622065 - 0.930986i) q^{7} +(-0.382683 + 0.923880i) q^{8} +(0.596748 - 0.247181i) q^{9} +(-1.76129 + 1.37763i) q^{10} +(-1.86658 - 2.79353i) q^{11} +(1.06082 - 1.58763i) q^{12} +1.47498i q^{13} +(0.930986 + 0.622065i) q^{14} +(3.81162 - 1.92383i) q^{15} -1.00000i q^{16} +(-1.32816 + 3.90333i) q^{17} +(-0.456731 + 0.456731i) q^{18} +(4.07173 + 1.68657i) q^{19} +(1.10003 - 1.94678i) q^{20} +(-1.51177 - 1.51177i) q^{21} +(2.79353 + 1.86658i) q^{22} +(-0.581487 + 2.92333i) q^{23} +(-0.372511 + 1.87274i) q^{24} +(4.28301 - 2.57988i) q^{25} +(-0.564452 - 1.36271i) q^{26} +(-3.73742 + 2.49726i) q^{27} +(-1.09817 - 0.218440i) q^{28} +(-3.34034 + 0.664436i) q^{29} +(-2.78526 + 3.23603i) q^{30} +(2.94997 - 4.41494i) q^{31} +(0.382683 + 0.923880i) q^{32} +(-4.53624 - 4.53624i) q^{33} +(-0.266683 - 4.11447i) q^{34} +(-1.89761 - 1.63327i) q^{35} +(0.247181 - 0.596748i) q^{36} +(1.64857 + 8.28790i) q^{37} -4.40721 q^{38} +(0.549448 + 2.76226i) q^{39} +(-0.271292 + 2.21955i) q^{40} +(-10.6198 - 2.11241i) q^{41} +(1.97522 + 0.818163i) q^{42} +(-6.16087 - 2.55191i) q^{43} +(-3.29520 - 0.655456i) q^{44} +(1.13765 - 0.889830i) q^{45} +(-0.581487 - 2.92333i) q^{46} -6.49819 q^{47} +(-0.372511 - 1.87274i) q^{48} +(2.19901 - 5.30889i) q^{49} +(-2.96971 + 4.02254i) q^{50} +(-1.03326 + 7.80467i) q^{51} +(1.04297 + 1.04297i) q^{52} +(2.17392 + 5.24831i) q^{53} +(2.49726 - 3.73742i) q^{54} +(-5.69400 - 4.90083i) q^{55} +(1.09817 - 0.218440i) q^{56} +(8.25356 + 1.64173i) q^{57} +(2.83181 - 1.89215i) q^{58} +(-0.784600 - 1.89419i) q^{59} +(1.33487 - 4.05558i) q^{60} +(0.266612 - 1.34035i) q^{61} +(-1.03589 + 5.20778i) q^{62} +(-0.601338 - 0.401801i) q^{63} +(-0.707107 - 0.707107i) q^{64} +(0.883137 + 3.17773i) q^{65} +(5.92688 + 2.45499i) q^{66} +(7.14013 - 7.14013i) q^{67} +(1.82092 + 3.69922i) q^{68} +5.69125i q^{69} +(2.37819 + 0.782765i) q^{70} +(1.30903 + 0.874669i) q^{71} +0.645915i q^{72} +(-7.04265 + 10.5401i) q^{73} +(-4.69472 - 7.02615i) q^{74} +(7.05993 - 6.42692i) q^{75} +(4.07173 - 1.68657i) q^{76} +(-1.43961 + 3.47552i) q^{77} +(-1.56469 - 2.34173i) q^{78} +(6.00351 - 4.01142i) q^{79} +(-0.598743 - 2.15442i) q^{80} +(-7.43914 + 7.43914i) q^{81} +(10.6198 - 2.11241i) q^{82} +(11.8159 - 4.89429i) q^{83} -2.13796 q^{84} +(-0.524309 + 9.20462i) q^{85} +6.66847 q^{86} +(-6.00808 + 2.48863i) q^{87} +(3.29520 - 0.655456i) q^{88} +(5.20222 - 5.20222i) q^{89} +(-0.710524 + 1.25745i) q^{90} +(1.37319 - 0.917536i) q^{91} +(1.65593 + 2.47828i) q^{92} +(3.87991 - 9.36692i) q^{93} +(6.00354 - 2.48675i) q^{94} +(9.78202 + 1.19564i) q^{95} +(1.06082 + 1.58763i) q^{96} +(5.44087 - 8.14284i) q^{97} +5.74630i q^{98} +(-1.80439 - 1.20565i) 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

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