LMFDB - Embedded newform 252.2.o.a.95.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(95,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 5, 4]))

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

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

chi := DirichletCharacter("252.95");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.o (of order $6$, degree $2$, 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:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$44$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			95.10
Character	$\chi$	$=$	252.95
Dual form			252.2.o.a.191.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.12610 + 0.855508i) q^{2} +(0.649599 - 1.60562i) q^{3} +(0.536211 - 1.92678i) q^{4} -1.62292i q^{5} +(0.642108 + 2.36383i) q^{6} +(1.09603 + 2.40805i) q^{7} +(1.04455 + 2.62848i) q^{8} +(-2.15604 - 2.08602i) q^{9} +O(q^{10})$	\(q+(-1.12610 + 0.855508i) q^{2} +(0.649599 - 1.60562i) q^{3} +(0.536211 - 1.92678i) q^{4} -1.62292i q^{5} +(0.642108 + 2.36383i) q^{6} +(1.09603 + 2.40805i) q^{7} +(1.04455 + 2.62848i) q^{8} +(-2.15604 - 2.08602i) q^{9} +(1.38842 + 1.82757i) q^{10} +1.10792 q^{11} +(-2.74536 - 2.11259i) q^{12} +(2.95905 - 5.12523i) q^{13} +(-3.29435 - 1.77404i) q^{14} +(-2.60579 - 1.05425i) q^{15} +(-3.42496 - 2.06632i) q^{16} +(-6.47792 - 3.74003i) q^{17} +(4.21253 + 0.504560i) q^{18} +(3.12725 - 1.80552i) q^{19} +(-3.12701 - 0.870227i) q^{20} +(4.57840 - 0.195549i) q^{21} +(-1.24763 + 0.947835i) q^{22} -0.527196 q^{23} +(4.89889 + 0.0303120i) q^{24} +2.36614 q^{25} +(1.05248 + 8.30303i) q^{26} +(-4.74992 + 2.10671i) q^{27} +(5.22749 - 0.820593i) q^{28} +(-1.30418 + 0.752968i) q^{29} +(3.83630 - 1.04209i) q^{30} +(-1.60482 + 0.926542i) q^{31} +(5.62460 - 0.603190i) q^{32} +(0.719704 - 1.77890i) q^{33} +(10.4944 - 1.33026i) q^{34} +(3.90807 - 1.77877i) q^{35} +(-5.17539 + 3.03567i) q^{36} +(3.78593 + 6.55743i) q^{37} +(-1.97696 + 4.70858i) q^{38} +(-6.30698 - 8.08047i) q^{39} +(4.26581 - 1.69521i) q^{40} +(5.31155 + 3.06663i) q^{41} +(-4.98845 + 4.13707i) q^{42} +(-3.91977 + 2.26308i) q^{43} +(0.594079 - 2.13472i) q^{44} +(-3.38544 + 3.49908i) q^{45} +(0.593677 - 0.451021i) q^{46} +(1.98329 - 3.43516i) q^{47} +(-5.54258 + 4.15690i) q^{48} +(-4.59742 + 5.27861i) q^{49} +(-2.66451 + 2.02425i) q^{50} +(-10.2131 + 7.97157i) q^{51} +(-8.28851 - 8.44965i) q^{52} +(3.48372 + 2.01133i) q^{53} +(3.54659 - 6.43597i) q^{54} -1.79806i q^{55} +(-5.18466 + 5.39623i) q^{56} +(-0.867521 - 6.19404i) q^{57} +(0.824468 - 1.96366i) q^{58} +(5.60375 + 9.70599i) q^{59} +(-3.42855 + 4.45549i) q^{60} +(5.67256 - 9.82516i) q^{61} +(1.01452 - 2.41632i) q^{62} +(2.66015 - 7.47821i) q^{63} +(-5.81784 + 5.49115i) q^{64} +(-8.31783 - 4.80230i) q^{65} +(0.711404 + 2.61894i) q^{66} +(-11.8549 + 6.84441i) q^{67} +(-10.6797 + 10.4761i) q^{68} +(-0.342466 + 0.846478i) q^{69} +(-2.87913 + 5.34647i) q^{70} +8.08304 q^{71} +(3.23098 - 7.84607i) q^{72} +(-3.31356 + 5.73925i) q^{73} +(-9.87328 - 4.14543i) q^{74} +(1.53704 - 3.79912i) q^{75} +(-1.80197 - 6.99365i) q^{76} +(1.21432 + 2.66793i) q^{77} +(14.0152 + 3.70375i) q^{78} +(1.60759 + 0.928144i) q^{79} +(-3.35347 + 5.55842i) q^{80} +(0.297037 + 8.99510i) q^{81} +(-8.60487 + 1.09074i) q^{82} +(5.43313 + 9.41046i) q^{83} +(2.07821 - 8.92642i) q^{84} +(-6.06976 + 10.5131i) q^{85} +(2.47798 - 5.90185i) q^{86} +(0.361789 + 2.58315i) q^{87} +(1.15727 + 2.91215i) q^{88} +(1.25062 - 0.722046i) q^{89} +(0.818859 - 6.83659i) q^{90} +(15.5850 + 1.50812i) q^{91} +(-0.282689 + 1.01579i) q^{92} +(0.445188 + 3.17861i) q^{93} +(0.705421 + 5.56506i) q^{94} +(-2.93021 - 5.07527i) q^{95} +(2.68524 - 9.42282i) q^{96} +(1.18819 + 2.05801i) q^{97} +(0.661263 - 9.87738i) q^{98} +(-2.38872 - 2.31114i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9}+O(q^{10}) $ 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9	$ 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 3 q^{12} - 4 q^{13} - 3 q^{14} + q^{16} + 5 q^{18} - 6 q^{20} - 6 q^{22} - 14 q^{24} - 60 q^{25} - 6 q^{26} - 24 q^{29} + 22 q^{30} + 27 q^{32} - 26 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} + 8 q^{40} - 12 q^{41} - 13 q^{42} - 57 q^{44} + 42 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} + 14 q^{52} - 22 q^{54} - 66 q^{56} - 28 q^{57} - 10 q^{58} + 32 q^{60} + 2 q^{61} - 8 q^{64} + 18 q^{65} - 93 q^{66} - 6 q^{69} + 30 q^{70} + 53 q^{72} - 4 q^{73} - 6 q^{76} - 30 q^{77} + 55 q^{78} + 87 q^{80} + 26 q^{81} - 4 q^{82} - 7 q^{84} - 14 q^{85} - 18 q^{88} + 60 q^{89} + 41 q^{90} + 24 q^{92} - 30 q^{93} + 9 q^{94} - 20 q^{96} - 4 q^{97} - 57 q^{98}+O(q^{100}) $ 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 3 * q^12 - 4 * q^13 - 3 * q^14 + q^16 + 5 * q^18 - 6 * q^20 - 6 * q^22 - 14 * q^24 - 60 * q^25 - 6 * q^26 - 24 * q^29 + 22 * q^30 + 27 * q^32 - 26 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 + 8 * q^40 - 12 * q^41 - 13 * q^42 - 57 * q^44 + 42 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 + 14 * q^52 - 22 * q^54 - 66 * q^56 - 28 * q^57 - 10 * q^58 + 32 * q^60 + 2 * q^61 - 8 * q^64 + 18 * q^65 - 93 * q^66 - 6 * q^69 + 30 * q^70 + 53 * q^72 - 4 * q^73 - 6 * q^76 - 30 * q^77 + 55 * q^78 + 87 * q^80 + 26 * q^81 - 4 * q^82 - 7 * q^84 - 14 * q^85 - 18 * q^88 + 60 * q^89 + 41 * q^90 + 24 * q^92 - 30 * q^93 + 9 * q^94 - 20 * q^96 - 4 * q^97 - 57 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$	$-1$

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 $

$2$	−1.12610	+	0.855508i	−0.796274	+	0.604936i
$2$	−1.12610	+	0.855508i	−0.796274	+	0.604936i
$3$	0.649599	−	1.60562i	0.375046	−	0.927006i
$3$	0.649599	−	1.60562i	0.375046	−	0.927006i
$4$	0.536211	−	1.92678i	0.268106	−	0.963390i
$5$		−	1.62292i		−	0.725791i	−0.931830	−	0.362896i	$-0.881788\pi$
$5$		−	1.62292i		−	0.725791i	0.931830	−	0.362896i	$-0.118212\pi$
$6$	0.642108	+	2.36383i	0.262140	+	0.965030i
$7$	1.09603	+	2.40805i	0.414262	+	0.910158i
$7$	1.09603	+	2.40805i	0.414262	+	0.910158i
$8$	1.04455	+	2.62848i	0.369303	+	0.929309i
$9$	−2.15604	−	2.08602i	−0.718681	−	0.695340i
$10$	1.38842	+	1.82757i	0.439057	+	0.577929i
$11$	1.10792			0.334051			0.167025	−	0.985953i	$-0.446584\pi$
$11$	1.10792			0.334051			0.167025	+	0.985953i	$0.446584\pi$
$12$	−2.74536	−	2.11259i	−0.792516	−	0.609851i
$13$	2.95905	−	5.12523i	0.820694	−	1.42148i	−0.0844726	−	0.996426i	$-0.526921\pi$
$13$	2.95905	−	5.12523i	0.820694	−	1.42148i	0.905166	−	0.425058i	$-0.139746\pi$
$14$	−3.29435	−	1.77404i	−0.880453	−	0.474133i
$15$	−2.60579	−	1.05425i	−0.672813	−	0.272205i
$16$	−3.42496	−	2.06632i	−0.856239	−	0.516580i
$17$	−6.47792	−	3.74003i	−1.57113	−	0.907090i	−0.996031	−	0.0890039i	$-0.971632\pi$
$17$	−6.47792	−	3.74003i	−1.57113	−	0.907090i	−0.575095	−	0.818086i	$-0.695035\pi$
$18$	4.21253	+	0.504560i	0.992903	+	0.118926i
$19$	3.12725	−	1.80552i	0.717440	−	0.414214i	−0.0963698	−	0.995346i	$-0.530723\pi$
$19$	3.12725	−	1.80552i	0.717440	−	0.414214i	0.813810	+	0.581131i	$0.197390\pi$
$20$	−3.12701	−	0.870227i	−0.699220	−	0.194589i
$21$	4.57840	−	0.195549i	0.999089	−	0.0426724i
$22$	−1.24763	+	0.947835i	−0.265996	+	0.202079i
$23$	−0.527196			−0.109928			−0.0549640	−	0.998488i	$-0.517504\pi$
$23$	−0.527196			−0.109928			−0.0549640	+	0.998488i	$0.517504\pi$
$24$	4.89889	+	0.0303120i	0.999981	+	0.00618742i
$25$	2.36614			0.473227
$26$	1.05248	+	8.30303i	0.206409	+	1.62836i
$27$	−4.74992	+	2.10671i	−0.914123	+	0.405437i
$28$	5.22749	−	0.820593i	0.987902	−	0.155077i
$29$	−1.30418	+	0.752968i	−0.242180	+	0.139823i	−0.616178	−	0.787607i	$-0.711320\pi$
$29$	−1.30418	+	0.752968i	−0.242180	+	0.139823i	0.373998	+	0.927429i	$0.377987\pi$
$30$	3.83630	−	1.04209i	0.700410	−	0.190259i
$31$	−1.60482	+	0.926542i	−0.288234	+	0.166412i	−0.637145	−	0.770744i	$-0.719885\pi$
$31$	−1.60482	+	0.926542i	−0.288234	+	0.166412i	0.348911	+	0.937156i	$0.386551\pi$
$32$	5.62460	−	0.603190i	0.994299	−	0.106630i
$33$	0.719704	−	1.77890i	0.125284	−	0.309667i
$34$	10.4944	−	1.33026i	1.79978	−	0.228138i
$35$	3.90807	−	1.77877i	0.660584	−	0.300668i
$36$	−5.17539	+	3.03567i	−0.862566	+	0.505945i
$37$	3.78593	+	6.55743i	0.622403	+	1.07803i	0.989037	+	0.147669i	$0.0471769\pi$
$37$	3.78593	+	6.55743i	0.622403	+	1.07803i	−0.366634	+	0.930365i	$0.619490\pi$
$38$	−1.97696	+	4.70858i	−0.320706	+	0.763833i
$39$	−6.30698	−	8.08047i	−1.00993	−	1.29391i
$40$	4.26581	−	1.69521i	0.674484	−	0.268037i
$41$	5.31155	+	3.06663i	0.829525	+	0.478926i	0.853690	−	0.520782i	$-0.174359\pi$
$41$	5.31155	+	3.06663i	0.829525	+	0.478926i	−0.0241650	+	0.999708i	$0.507693\pi$
$42$	−4.98845	+	4.13707i	−0.769735	+	0.638364i
$43$	−3.91977	+	2.26308i	−0.597759	+	0.345116i	−0.768160	−	0.640258i	$-0.778827\pi$
$43$	−3.91977	+	2.26308i	−0.597759	+	0.345116i	0.170400	+	0.985375i	$0.445494\pi$
$44$	0.594079	−	2.13472i	0.0895608	−	0.321821i
$45$	−3.38544	+	3.49908i	−0.504672	+	0.521612i
$46$	0.593677	−	0.451021i	0.0875329	−	0.0664994i
$47$	1.98329	−	3.43516i	0.289293	−	0.501070i	−0.684348	−	0.729155i	$-0.739913\pi$
$47$	1.98329	−	3.43516i	0.289293	−	0.501070i	0.973641	+	0.228085i	$0.0732466\pi$
$48$	−5.54258	+	4.15690i	−0.800002	+	0.599997i
$49$	−4.59742	+	5.27861i	−0.656774	+	0.754088i
$50$	−2.66451	+	2.02425i	−0.376819	+	0.286272i
$51$	−10.2131	+	7.97157i	−1.43012	+	1.11624i
$52$	−8.28851	−	8.44965i	−1.14941	−	1.17176i
$53$	3.48372	+	2.01133i	0.478525	+	0.276277i	0.719802	−	0.694180i	$-0.244233\pi$
$53$	3.48372	+	2.01133i	0.478525	+	0.276277i	−0.241276	+	0.970456i	$0.577566\pi$
$54$	3.54659	−	6.43597i	0.482629	−	0.875825i
$55$		−	1.79806i		−	0.242451i
$56$	−5.18466	+	5.39623i	−0.692829	+	0.721102i
$57$	−0.867521	−	6.19404i	−0.114906	−	0.820421i
$58$	0.824468	−	1.96366i	0.108258	−	0.257841i
$59$	5.60375	+	9.70599i	0.729547	+	1.26361i	0.957075	+	0.289841i	$0.0936023\pi$
$59$	5.60375	+	9.70599i	0.729547	+	1.26361i	−0.227528	+	0.973771i	$0.573064\pi$
$60$	−3.42855	+	4.45549i	−0.442624	+	0.575201i
$61$	5.67256	−	9.82516i	0.726297	−	1.25798i	−0.232141	−	0.972682i	$-0.574573\pi$
$61$	5.67256	−	9.82516i	0.726297	−	1.25798i	0.958438	−	0.285301i	$-0.0920935\pi$
$62$	1.01452	−	2.41632i	0.128845	−	0.306872i
$63$	2.66015	−	7.47821i	0.335147	−	0.942166i
$64$	−5.81784	+	5.49115i	−0.727230	+	0.686394i
$65$	−8.31783	−	4.80230i	−1.03170	−	0.595652i
$66$	0.711404	+	2.61894i	0.0875678	+	0.322369i
$67$	−11.8549	+	6.84441i	−1.44830	+	0.836178i	−0.998381	−	0.0568892i	$-0.981882\pi$
$67$	−11.8549	+	6.84441i	−1.44830	+	0.836178i	−0.449923	+	0.893067i	$0.648549\pi$
$68$	−10.6797	+	10.4761i	−1.29511	+	1.27041i
$69$	−0.342466	+	0.846478i	−0.0412281	+	0.101904i
$70$	−2.87913	+	5.34647i	−0.344122	+	0.639025i
$71$	8.08304			0.959280			0.479640	−	0.877465i	$-0.340767\pi$
$71$	8.08304			0.959280			0.479640	+	0.877465i	$0.340767\pi$
$72$	3.23098	−	7.84607i	0.380775	−	0.924668i
$73$	−3.31356	+	5.73925i	−0.387822	+	0.671728i	−0.992156	−	0.125003i	$-0.960106\pi$
$73$	−3.31356	+	5.73925i	−0.387822	+	0.671728i	0.604334	+	0.796731i	$0.293439\pi$
$74$	−9.87328	−	4.14543i	−1.14775	−	0.481897i
$75$	1.53704	−	3.79912i	0.177482	−	0.438684i
$76$	−1.80197	−	6.99365i	−0.206700	−	0.802227i
$77$	1.21432	+	2.66793i	0.138384	+	0.304039i
$78$	14.0152	+	3.70375i	1.58691	+	0.419367i
$79$	1.60759	+	0.928144i	0.180868	+	0.104424i	0.587701	−	0.809078i	$-0.300033\pi$
$79$	1.60759	+	0.928144i	0.180868	+	0.104424i	−0.406832	+	0.913503i	$0.633367\pi$
$80$	−3.35347	+	5.55842i	−0.374929	+	0.621451i
$81$	0.297037	+	8.99510i	0.0330041	+	0.999455i
$82$	−8.60487	+	1.09074i	−0.950249	+	0.120452i
$83$	5.43313	+	9.41046i	0.596363	+	1.03293i	0.993353	+	0.115109i	$0.0367216\pi$
$83$	5.43313	+	9.41046i	0.596363	+	1.03293i	−0.396990	+	0.917823i	$0.629945\pi$
$84$	2.07821	−	8.92642i	0.226751	−	0.973953i
$85$	−6.06976	+	10.5131i	−0.658358	+	1.14031i
$86$	2.47798	−	5.90185i	0.267207	−	0.636413i
$87$	0.361789	+	2.58315i	0.0387878	+	0.276942i
$88$	1.15727	+	2.91215i	0.123366	+	0.310436i
$89$	1.25062	−	0.722046i	0.132566	−	0.0765368i	−0.432251	−	0.901754i	$-0.642280\pi$
$89$	1.25062	−	0.722046i	0.132566	−	0.0765368i	0.564816	+	0.825217i	$0.308947\pi$
$90$	0.818859	−	6.83659i	0.0863153	−	0.720640i
$91$	15.5850	+	1.50812i	1.63376	+	0.158094i
$92$	−0.282689	+	1.01579i	−0.0294723	+	0.105904i
$93$	0.445188	+	3.17861i	0.0461638	+	0.329607i
$94$	0.705421	+	5.56506i	0.0727586	+	0.573992i
$95$	−2.93021	−	5.07527i	−0.300633	−	0.520712i
$96$	2.68524	−	9.42282i	0.274061	−	0.961712i
$97$	1.18819	+	2.05801i	0.120643	+	0.208960i	0.920021	−	0.391868i	$-0.128171\pi$
$97$	1.18819	+	2.05801i	0.120643	+	0.208960i	−0.799378	+	0.600828i	$0.794838\pi$
$98$	0.661263	−	9.87738i	0.0667976	−	0.997767i
$99$	−2.38872	−	2.31114i	−0.240076	−	0.232279i
$100$	1.26875	−	4.55902i	0.126875	−	0.455902i
$101$		−	0.222224i		−	0.0221121i	−0.999939	−	0.0110561i	$-0.996481\pi$
$101$		−	0.222224i		−	0.0221121i	0.999939	−	0.0110561i	$-0.00351932\pi$
$102$	4.68127	−	17.7142i	0.463515	−	1.75397i
$103$			5.22154i			0.514494i	0.966346	+	0.257247i	$0.0828154\pi$
$103$			5.22154i			0.514494i	−0.966346	+	0.257247i	$0.917185\pi$
$104$	16.5625	+	2.42428i	1.62408	+	0.237720i
$105$	−0.317361	−	7.43037i	−0.0309712	−	0.725130i
$106$	−5.64373	+	0.715392i	−0.548167	+	0.0694850i
$107$	−5.33662	−	9.24330i	−0.515910	−	0.893583i	−0.999829	−	0.0184703i	$-0.994120\pi$
$107$	−5.33662	−	9.24330i	−0.515910	−	0.893583i	0.483919	−	0.875113i	$-0.339213\pi$
$108$	1.51221	+	10.2817i	0.145512	+	0.989356i
$109$	4.53911	−	7.86197i	0.434768	−	0.753040i	−0.562509	−	0.826791i	$-0.690164\pi$
$109$	4.53911	−	7.86197i	0.434768	−	0.753040i	0.997277	+	0.0737515i	$0.0234972\pi$
$110$	1.53826	+	2.02480i	0.146667	+	0.193057i
$111$	12.9881	−	1.81908i	1.23277	−	0.172659i
$112$	1.22194	−	10.5122i	0.115462	−	0.993312i
$113$	6.44412	+	3.72051i	0.606212	+	0.349997i	0.771481	−	0.636252i	$-0.219516\pi$
$113$	6.44412	+	3.72051i	0.606212	+	0.349997i	−0.165270	+	0.986248i	$0.552849\pi$
$114$	6.27597	+	6.23295i	0.587798	+	0.583769i
$115$			0.855597i			0.0797848i
$116$	0.751488	+	2.91662i	0.0697739	+	0.270801i
$117$	−17.0712	+	4.87757i	−1.57823	+	0.450931i
$118$	−14.6140	−	6.13587i	−1.34532	−	0.564853i
$119$	1.90616	−	19.6984i	0.174737	−	1.80575i
$120$	0.0491940	−	7.95049i	0.00449077	−	0.725777i
$121$	−9.77251			−0.888410
$122$	2.01763	+	15.9171i	0.182667	+	1.44106i
$123$	8.37422	−	6.53627i	0.755078	−	0.589355i
$124$	0.924721	+	3.58895i	0.0830424	+	0.322297i
$125$		−	11.9546i		−	1.06926i
$126$	3.40207	+	10.6970i	0.303081	+	0.952965i
$127$			3.49748i			0.310351i	0.987887	+	0.155175i	$0.0495943\pi$
$127$			3.49748i			0.310351i	−0.987887	+	0.155175i	$0.950406\pi$
$128$	1.85376	−	11.1608i	0.163851	−	0.986485i
$129$	1.08737	+	7.76376i	0.0957378	+	0.683561i
$130$	13.4751	−	1.70809i	1.18185	−	0.149810i
$131$	−2.16145			−0.188847			−0.0944235	−	0.995532i	$-0.530101\pi$
$131$	−2.16145			−0.188847			−0.0944235	+	0.995532i	$0.530101\pi$
$132$	−3.04164	−	2.34058i	−0.264740	−	0.203721i
$133$	7.77535	+	5.55166i	0.674208	+	0.481390i
$134$	7.49434	−	17.8495i	0.647413	−	1.54196i
$135$	3.41902	+	7.70874i	0.294262	+	0.663462i
$136$	3.06411	−	20.9337i	0.262745	−	1.79505i
$137$			10.7408i			0.917649i	0.888527	+	0.458825i	$0.151729\pi$
$137$			10.7408i			0.917649i	−0.888527	+	0.458825i	$0.848271\pi$
$138$	−0.338517	−	1.24620i	−0.0288165	−	0.106084i
$139$	7.57783	+	4.37506i	0.642743	+	0.371088i	0.785670	−	0.618645i	$-0.212318\pi$
$139$	7.57783	+	4.37506i	0.642743	+	0.371088i	−0.142927	+	0.989733i	$0.545652\pi$
$140$	−1.33176	−	8.48379i	−0.112554	−	0.717011i
$141$	−4.22723	−	5.41589i	−0.355997	−	0.456100i
$142$	−9.10233	+	6.91511i	−0.763850	+	0.580303i
$143$	3.27840	−	5.67835i	0.274153	−	0.474847i
$144$	3.07396	+	11.5996i	0.256163	+	0.966633i
$145$	1.22201	+	2.11658i	0.101482	+	0.175772i
$146$	−1.17857	−	9.29775i	−0.0975393	−	0.769488i
$147$	5.48898	+	10.8107i	0.452723	+	0.891651i
$148$	14.6648	−	3.77849i	1.20544	−	0.310590i
$149$		−	7.82979i		−	0.641441i	−0.947174	−	0.320721i	$-0.896075\pi$
$149$		−	7.82979i		−	0.641441i	0.947174	−	0.320721i	$-0.103925\pi$
$150$	1.51931	+	5.59315i	0.124052	+	0.456678i
$151$		−	5.66702i		−	0.461176i	−0.973052	−	0.230588i	$-0.925935\pi$
$151$		−	5.66702i		−	0.461176i	0.973052	−	0.230588i	$-0.0740649\pi$
$152$	8.01233	+	6.33397i	0.649886	+	0.513753i
$153$	6.16489	+	21.5767i	0.498402	+	1.74438i
$154$	−3.64988	−	1.96550i	−0.294116	−	0.158384i
$155$	1.50370	+	2.60449i	0.120780	+	0.209198i
$156$	−18.9511	+	7.81933i	−1.51731	+	0.626047i
$157$	4.73343	+	8.19854i	0.377769	+	0.654315i	0.990737	−	0.135793i	$-0.0433581\pi$
$157$	4.73343	+	8.19854i	0.377769	+	0.654315i	−0.612969	+	0.790107i	$0.710025\pi$
$158$	−2.60435	+	0.330124i	−0.207191	+	0.0262633i
$159$	5.49245	−	4.28698i	0.435579	−	0.339979i
$160$	−0.978928	−	9.12827i	−0.0773911	−	0.721653i
$161$	−0.577825	−	1.26952i	−0.0455390	−	0.100052i
$162$	−8.02987	−	9.87528i	−0.630887	−	0.775875i
$163$	−16.0226	+	9.25068i	−1.25499	+	0.724569i	−0.972096	−	0.234582i	$-0.924628\pi$
$163$	−16.0226	+	9.25068i	−1.25499	+	0.724569i	−0.282894	+	0.959151i	$0.591294\pi$
$164$	8.75682	−	8.58983i	0.683793	−	0.670753i
$165$	−2.88701	−	1.16802i	−0.224753	−	0.0909303i
$166$	−14.1690	−	5.94905i	−1.09973	−	0.461735i
$167$	−10.6528	+	18.4512i	−0.824340	+	1.42780i	0.0780821	+	0.996947i	$0.475120\pi$
$167$	−10.6528	+	18.4512i	−0.824340	+	1.42780i	−0.902422	+	0.430852i	$0.858213\pi$
$168$	5.29635	+	11.8300i	0.408623	+	0.912703i
$169$	−11.0120	−	19.0733i	−0.847077	−	1.46718i
$170$	−2.15890	−	17.0316i	−0.165580	−	1.30626i
$171$	−10.5088	−	2.63073i	−0.803630	−	0.201177i
$172$	2.25863	+	8.76602i	0.172219	+	0.668403i
$173$	0.219720	+	0.126856i	0.0167050	+	0.00964466i	0.508329	−	0.861163i	$-0.330263\pi$
$173$	0.219720	+	0.126856i	0.0167050	+	0.00964466i	−0.491624	+	0.870807i	$0.663597\pi$
$174$	−2.61731	−	2.59937i	−0.198418	−	0.197058i
$175$	2.59337	+	5.69778i	0.196040	+	0.430711i
$176$	−3.79458	−	2.28932i	−0.286027	−	0.172564i
$177$	19.2243	−	2.69251i	1.44499	−	0.202382i
$178$	−0.790610	+	1.88301i	−0.0592587	+	0.141138i
$179$	−1.26089	+	2.18392i	−0.0942430	+	0.163234i	−0.909292	−	0.416158i	$-0.863376\pi$
$179$	−1.26089	+	2.18392i	−0.0942430	+	0.163234i	0.815049	+	0.579391i	$0.196710\pi$
$180$	4.92664	+	8.39924i	0.367210	+	0.626043i
$181$	4.61261			0.342853			0.171426	−	0.985197i	$-0.445162\pi$
$181$	4.61261			0.342853			0.171426	+	0.985197i	$0.445162\pi$
$182$	−18.8406	+	11.6348i	−1.39655	+	0.862431i
$183$	−12.0906	−	15.4904i	−0.893763	−	1.14508i
$184$	−0.550682	−	1.38573i	−0.0405968	−	0.102157i
$185$	10.6422	−	6.14426i	0.782428	−	0.451735i
$186$	−3.22066	−	3.19858i	−0.236150	−	0.234531i
$187$	−7.17702	−	4.14365i	−0.524836	−	0.303014i
$188$	−5.55533	−	5.66334i	−0.405164	−	0.413041i
$189$	−10.2791	−	9.12903i	−0.747698	−	0.664039i
$190$	7.64165	+	3.20845i	0.554383	+	0.232766i
$191$	3.40037	−	5.88961i	0.246042	−	0.426158i	−0.716382	−	0.697708i	$-0.754203\pi$
$191$	3.40037	−	5.88961i	0.246042	−	0.426158i	0.962424	+	0.271551i	$0.0875365\pi$
$192$	5.03744	+	12.9083i	0.363546	+	0.931576i
$193$	−11.4231	−	19.7853i	−0.822250	−	1.42418i	−0.904003	−	0.427526i	$-0.859385\pi$
$193$	−11.4231	−	19.7853i	−0.822250	−	1.42418i	0.0817532	−	0.996653i	$-0.473948\pi$
$194$	−3.09868	−	1.30102i	−0.222472	−	0.0934080i
$195$	−13.1139	+	10.2357i	−0.939108	+	0.732995i
$196$	7.70554	+	11.6887i	0.550395	+	0.834904i
$197$			9.16890i			0.653257i	0.945153	+	0.326628i	$0.105913\pi$
$197$			9.16890i			0.653257i	−0.945153	+	0.326628i	$0.894087\pi$
$198$	4.66715	+	0.559012i	0.331680	+	0.0397272i
$199$	−11.2145	−	6.47470i	−0.794975	−	0.458979i	0.0467358	−	0.998907i	$-0.485118\pi$
$199$	−11.2145	−	6.47470i	−0.794975	−	0.458979i	−0.841711	+	0.539928i	$0.818451\pi$
$200$	2.47154	+	6.21935i	0.174764	+	0.439774i
$201$	3.28863	+	23.4806i	0.231962	+	1.65619i
$202$	0.190114	+	0.250247i	0.0133764	+	0.0176073i
$203$	−3.24261	−	2.31525i	−0.227587	−	0.162499i
$204$	9.88307	+	23.9529i	0.691953	+	1.67704i
$205$	4.97688	−	8.62021i	0.347601	−	0.602062i
$206$	−4.46707	−	5.87999i	−0.311236	−	0.409678i
$207$	1.13666	+	1.09974i	0.0790032	+	0.0764374i
$208$	−20.7250	+	11.4393i	−1.43702	+	0.793175i
$209$	3.46474	−	2.00037i	0.239661	−	0.138368i
$210$	6.71413	+	8.09585i	0.463319	+	0.558667i
$211$	5.76767	+	3.32997i	0.397063	+	0.229244i	0.685216	−	0.728340i	$-0.259708\pi$
$211$	5.76767	+	3.32997i	0.397063	+	0.229244i	−0.288153	+	0.957584i	$0.593041\pi$
$212$	5.74339	−	5.63386i	0.394457	−	0.386935i
$213$	5.25073	−	12.9783i	0.359774	−	0.889259i
$214$	13.9173	+	5.84337i	0.951367	+	0.399445i
$215$	3.67279	+	6.36147i	0.250482	+	0.433848i
$216$	−10.4990	−	10.2845i	−0.714365	−	0.699774i
$217$	−3.99010	−	2.84896i	−0.270865	−	0.193400i
$218$	1.61448	+	12.7366i	0.109346	+	0.862633i
$219$	7.06258	+	9.04853i	0.477245	+	0.611443i
$220$	−3.46447	−	0.964142i	−0.233575	−	0.0650024i
$221$	−38.3370	+	22.1339i	−2.57883	+	1.48889i
$222$	−13.0697	+	13.1599i	−0.877179	+	0.883233i
$223$	−0.151537	+	0.0874902i	−0.0101477	+	0.00585878i	−0.505065	−	0.863081i	$-0.668532\pi$
$223$	−0.151537	+	0.0874902i	−0.0101477	+	0.00585878i	0.494918	+	0.868940i	$0.335198\pi$
$224$	7.61727	+	12.8832i	0.508950	+	0.860796i
$225$	−5.10149	−	4.93581i	−0.340099	−	0.329054i
$226$	−10.4397	+	1.32332i	−0.694436	+	0.0880259i
$227$	−18.9352			−1.25678			−0.628388	−	0.777900i	$-0.716285\pi$
$227$	−18.9352			−1.25678			−0.628388	+	0.777900i	$0.716285\pi$
$228$	−12.3997	−	1.64979i	−0.821192	−	0.109260i
$229$	0.801763			0.0529820			0.0264910	−	0.999649i	$-0.491567\pi$
$229$	0.801763			0.0529820			0.0264910	+	0.999649i	$0.491567\pi$
$230$	−0.731970	−	0.963489i	−0.0482647	−	0.0635306i
$231$	5.07250	−	0.216653i	0.333746	−	0.0142547i
$232$	−3.34144	−	2.64150i	−0.219376	−	0.173423i
$233$	7.35469	−	4.24623i	0.481822	−	0.278180i	−0.239354	−	0.970932i	$-0.576936\pi$
$233$	7.35469	−	4.24623i	0.481822	−	0.278180i	0.721175	+	0.692753i	$0.243602\pi$
$234$	15.0511	−	20.0972i	0.983920	−	1.31379i
$235$	−5.57499	−	3.21872i	−0.363672	−	0.209966i
$236$	21.7061	−	5.59274i	1.41295	−	0.364056i
$237$	2.53454	−	1.97826i	0.164636	−	0.128502i
$238$	14.7056	+	23.8131i	0.953222	+	1.54357i
$239$	13.4726	−	23.3353i	0.871473	−	1.50944i	0.0109999	−	0.999939i	$-0.496499\pi$
$239$	13.4726	−	23.3353i	0.871473	−	1.50944i	0.860473	−	0.509496i	$-0.170168\pi$
$240$	6.74631	+	8.99515i	0.435473	+	0.580634i
$241$	−13.7367			−0.884856			−0.442428	−	0.896804i	$-0.645883\pi$
$241$	−13.7367			−0.884856			−0.442428	+	0.896804i	$0.645883\pi$
$242$	11.0048	−	8.36047i	0.707418	−	0.537431i
$243$	14.6357	+	5.36628i	0.938879	+	0.344247i
$244$	−15.8892	−	16.1981i	−1.01720	−	1.03698i
$245$	8.56676	+	7.46123i	0.547310	+	0.476681i
$246$	−3.83839	+	14.5247i	−0.244727	+	0.926062i
$247$		−	21.3705i		−	1.35977i
$248$	−4.11171	−	3.25042i	−0.261094	−	0.206402i
$249$	18.6390	−	2.61053i	1.18120	−	0.165435i
$250$	10.2273	+	13.4621i	0.646831	+	0.851421i
$251$	−3.97381			−0.250825			−0.125412	−	0.992105i	$-0.540025\pi$
$251$	−3.97381			−0.250825			−0.125412	+	0.992105i	$0.540025\pi$
$252$	−12.9825	−	9.13541i	−0.817818	−	0.575477i
$253$	−0.584092			−0.0367215
$254$	−2.99212	−	3.93852i	−0.187742	−	0.247124i
$255$	12.9372	+	16.5751i	0.810159	+	1.03797i
$256$	7.46064	+	14.1541i	0.466290	+	0.884632i
$257$		−	25.2173i		−	1.57301i	−0.617584	−	0.786505i	$-0.711888\pi$
$257$		−	25.2173i		−	1.57301i	0.617584	−	0.786505i	$-0.288112\pi$
$258$	−7.86645	−	7.81253i	−0.489744	−	0.486387i
$259$	−11.6411	+	16.3039i	−0.723343	+	1.01307i
$260$	−13.7131	+	13.4516i	−0.850450	+	0.834231i
$261$	4.38257	+	1.09711i	0.271274	+	0.0679096i
$262$	2.43402	−	1.84914i	0.150374	−	0.114240i
$263$	−29.6801			−1.83015			−0.915076	−	0.403282i	$-0.867869\pi$
$263$	−29.6801			−1.83015			−0.915076	+	0.403282i	$0.867869\pi$
$264$	5.42757	+	0.0335833i	0.334044	+	0.00206691i
$265$	3.26422	−	5.65379i	0.200519	−	0.347309i
$266$	−13.5053	+	0.400138i	−0.828065	+	0.0245340i
$267$	−0.346931	−	2.47706i	−0.0212318	−	0.151594i
$268$	6.83096	+	26.5118i	0.417267	+	1.61946i
$269$	14.8466	+	8.57168i	0.905213	+	0.522625i	0.878888	−	0.477029i	$-0.158286\pi$
$269$	14.8466	+	8.57168i	0.905213	+	0.522625i	0.0263250	+	0.999653i	$0.491620\pi$
$270$	−10.4451	−	5.75582i	−0.635666	−	0.350288i
$271$	20.1315	−	11.6229i	1.22290	−	0.706043i	0.257367	−	0.966314i	$-0.417145\pi$
$271$	20.1315	−	11.6229i	1.22290	−	0.706043i	0.965536	+	0.260270i	$0.0838116\pi$
$272$	14.4585	+	26.1949i	0.876675	+	1.58830i
$273$	12.5455	−	24.0440i	0.759288	−	1.45521i
$274$	−9.18885	−	12.0952i	−0.555119	−	0.730700i
$275$	2.62149			0.158082
$276$	1.44734	+	1.11375i	0.0871197	+	0.0670397i
$277$	11.5064			0.691351			0.345676	−	0.938354i	$-0.387650\pi$
$277$	11.5064			0.691351			0.345676	+	0.938354i	$0.387650\pi$
$278$	−12.2763	+	1.55613i	−0.736284	+	0.0933305i
$279$	5.39284	+	1.35002i	0.322861	+	0.0808235i
$280$	8.75764	+	8.41428i	0.523369	+	0.502849i
$281$	14.9836	−	8.65081i	0.893849	−	0.516064i	0.0186493	−	0.999826i	$-0.494063\pi$
$281$	14.9836	−	8.65081i	0.893849	−	0.516064i	0.875199	+	0.483762i	$0.160730\pi$
$282$	9.39363	+	2.48242i	0.559382	+	0.147826i
$283$	17.7061	−	10.2226i	1.05252	−	0.607673i	0.129166	−	0.991623i	$-0.458770\pi$
$283$	17.7061	−	10.2226i	1.05252	−	0.607673i	0.923354	+	0.383950i	$0.125437\pi$
$284$	4.33422	−	15.5742i	0.257188	−	0.924161i
$285$	−10.0524	+	1.40792i	−0.595454	+	0.0833977i
$286$	1.16607	+	9.19909i	0.0689509	+	0.543954i
$287$	−1.56295	+	16.1516i	−0.0922578	+	0.953400i
$288$	−13.3851	−	10.4325i	−0.788728	−	0.614743i
$289$	19.4756	+	33.7328i	1.14563	+	1.98428i
$290$	−3.18685	−	1.33804i	−0.187138	−	0.0785727i
$291$	4.07624	−	0.570908i	0.238953	−	0.0334672i
$292$	9.28150	+	9.46194i	0.543159	+	0.553718i
$293$	2.79032	+	1.61099i	0.163012	+	0.0941152i	0.579287	−	0.815124i	$-0.303331\pi$
$293$	2.79032	+	1.61099i	0.163012	+	0.0941152i	−0.416274	+	0.909239i	$0.636664\pi$
$294$	−15.4298	−	7.47808i	−0.899884	−	0.436130i
$295$	15.7520	−	9.09444i	0.917118	−	0.529499i
$296$	−13.2815	+	16.8008i	−0.771971	+	0.976526i
$297$	−5.26254	+	2.33407i	−0.305363	+	0.135436i
$298$	6.69845	+	8.81714i	0.388031	+	0.510763i
$299$	−1.56000	+	2.70200i	−0.0902173	+	0.156261i
$300$	−6.49589	−	4.99867i	−0.375040	−	0.288598i
$301$	−9.74581	−	6.95859i	−0.561739	−	0.401086i
$302$	4.84818	+	6.38164i	0.278982	+	0.367222i
$303$	−0.356807	−	0.144356i	−0.0204981	−	0.00829306i
$304$	−14.4415	−	0.278080i	−0.828275	−	0.0159490i
$305$	−15.9454	−	9.20610i	−0.913033	−	0.527140i
$306$	−25.4014	−	19.0235i	−1.45210	−	1.08750i
$307$		−	12.1542i		−	0.693674i	−0.937925	−	0.346837i	$-0.887256\pi$
$307$		−	12.1542i		−	0.693674i	0.937925	−	0.346837i	$-0.112744\pi$
$308$	5.79164	−	0.909151i	0.330009	−	0.0518037i
$309$	8.38382	+	3.39191i	0.476939	+	0.192959i
$310$	−3.92148	−	1.64649i	−0.222725	−	0.0935143i
$311$	−1.68227	−	2.91378i	−0.0953928	−	0.165225i	0.814380	−	0.580332i	$-0.197077\pi$
$311$	−1.68227	−	2.91378i	−0.0953928	−	0.165225i	−0.909772	+	0.415107i	$0.863744\pi$
$312$	14.6514	−	25.0182i	0.829473	−	1.41638i
$313$	−4.10763	+	7.11462i	−0.232177	+	0.402142i	−0.958448	−	0.285266i	$-0.907918\pi$
$313$	−4.10763	+	7.11462i	−0.232177	+	0.402142i	0.726272	+	0.687408i	$0.241251\pi$
$314$	−12.3442	−	5.18290i	−0.696626	−	0.292488i
$315$	−12.1365	−	4.31720i	−0.683816	−	0.243247i
$316$	2.65034	−	2.59980i	0.149093	−	0.146250i
$317$	−1.88173	−	1.08642i	−0.105689	−	0.0610194i	0.446224	−	0.894921i	$-0.352768\pi$
$317$	−1.88173	−	1.08642i	−0.105689	−	0.0610194i	−0.551913	+	0.833902i	$0.686102\pi$
$318$	−2.51751	+	9.52641i	−0.141175	+	0.534214i
$319$	−1.44493	+	0.834229i	−0.0809004	+	0.0467078i
$320$	8.91169	+	9.44188i	0.498178	+	0.527817i
$321$	−18.3079	+	2.56416i	−1.02185	+	0.143117i
$322$	1.73677	+	0.935270i	0.0967865	+	0.0521205i
$323$	−27.0108			−1.50292
$324$	17.4908	+	4.25095i	0.971713	+	0.236164i
$325$	7.00152	−	12.1270i	0.388375	−	0.672685i
$326$	10.1291	−	24.1247i	0.560999	−	1.33614i
$327$	−9.67474	−	12.3952i	−0.535015	−	0.685457i
$328$	−2.51241	+	17.1646i	−0.138724	+	0.947754i
$329$	10.4458	+	1.01081i	0.575895	+	0.0557278i
$330$	4.25032	−	1.15455i	0.233972	−	0.0635560i
$331$	−17.7312	−	10.2371i	−0.974595	−	0.562683i	−0.0739608	−	0.997261i	$-0.523564\pi$
$331$	−17.7312	−	10.2371i	−0.974595	−	0.562683i	−0.900634	+	0.434579i	$0.856897\pi$
$332$	21.0452	−	5.42245i	1.15500	−	0.297596i
$333$	5.51630	−	22.0356i	0.302291	−	1.20754i
$334$	−3.78902	−	29.8916i	−0.207326	−	1.63559i
$335$	11.1079	+	19.2395i	0.606891	+	1.05117i
$336$	−16.0849	−	8.79070i	−0.877503	−	0.479572i
$337$	−10.5933	+	18.3482i	−0.577055	+	0.999489i	0.418760	+	0.908097i	$0.362465\pi$
$337$	−10.5933	+	18.3482i	−0.577055	+	0.999489i	−0.995815	+	0.0913920i	$0.970868\pi$
$338$	28.7180	+	12.0577i	1.56205	+	0.655851i
$339$	10.1598	−	7.92998i	0.551806	−	0.430697i
$340$	17.0018	+	17.3324i	0.922053	+	0.939979i
$341$	−1.77801	+	1.02653i	−0.0962846	+	0.0555900i
$342$	14.0846	−	6.02792i	0.761609	−	0.325952i
$343$	−17.7501	−	5.28527i	−0.958415	−	0.285378i
$344$	−10.0429	−	7.93915i	−0.541474	−	0.428050i
$345$	1.37376	+	0.555795i	0.0739610	+	0.0299230i
$346$	−0.355954	+	0.0451203i	−0.0191362	+	0.00242568i
$347$	10.2182	+	17.6984i	0.548539	+	0.950098i	0.998375	+	0.0569867i	$0.0181493\pi$
$347$	10.2182	+	17.6984i	0.548539	+	0.950098i	−0.449836	+	0.893111i	$0.648517\pi$
$348$	5.17115	+	0.688025i	0.277203	+	0.0368820i
$349$	−12.7924	−	22.1570i	−0.684760	−	1.18604i	−0.973512	−	0.228635i	$-0.926574\pi$
$349$	−12.7924	−	22.1570i	−0.684760	−	1.18604i	0.288752	−	0.957404i	$-0.406760\pi$
$350$	−7.79489	−	4.19763i	−0.416654	−	0.224373i
$351$	−3.25789	+	30.5783i	−0.173893	+	1.63215i
$352$	6.23161	−	0.668286i	0.332146	−	0.0356198i
$353$		−	22.0460i		−	1.17339i	−0.809809	−	0.586694i	$-0.800429\pi$
$353$		−	22.0460i		−	1.17339i	0.809809	−	0.586694i	$-0.199571\pi$
$354$	−19.3451	+	19.4786i	−1.02818	+	1.03528i
$355$		−	13.1181i		−	0.696237i
$356$	−0.720627	−	2.79684i	−0.0381932	−	0.148232i
$357$	−30.3899	−	15.8566i	−1.60840	−	0.839220i
$358$	−0.448474	−	3.53801i	−0.0237026	−	0.186990i
$359$	11.3160	+	19.5999i	0.597236	+	1.03444i	0.993227	+	0.116189i	$0.0370679\pi$
$359$	11.3160	+	19.5999i	0.597236	+	1.03444i	−0.395991	+	0.918254i	$0.629599\pi$
$360$	−12.7335	−	5.24362i	−0.671116	−	0.276363i
$361$	−2.98021	+	5.16188i	−0.156853	+	0.271678i
$362$	−5.19427	+	3.94613i	−0.273005	+	0.207404i
$363$	−6.34821	+	15.6910i	−0.333195	+	0.823562i
$364$	11.2627	−	29.2203i	0.590325	−	1.53156i
$365$	9.31433	+	5.37763i	0.487534	+	0.281478i
$366$	26.8674	+	7.10016i	1.40438	+	0.371131i
$367$		−	28.1813i		−	1.47105i	−0.677496	−	0.735526i	$-0.736935\pi$
$367$		−	28.1813i		−	1.47105i	0.677496	−	0.735526i	$-0.263065\pi$
$368$	1.80562	+	1.08936i	0.0941247	+	0.0567867i
$369$	−5.05489	−	17.6918i	−0.263147	−	0.920997i
$370$	−6.72770	+	16.0235i	−0.349756	+	0.833023i
$371$	−1.02510	+	10.5934i	−0.0532205	+	0.549984i
$372$	6.36320	+	0.846628i	0.329916	+	0.0438956i
$373$	−13.8193			−0.715536			−0.357768	−	0.933810i	$-0.616462\pi$
$373$	−13.8193			−0.715536			−0.357768	+	0.933810i	$0.616462\pi$
$374$	11.6270	−	1.47382i	0.601217	−	0.0762096i
$375$	−19.1946	−	7.76572i	−0.991206	−	0.401020i
$376$	11.1009	+	1.62486i	0.572485	+	0.0837957i
$377$			8.91229i			0.459006i
$378$	19.3853	+	1.48632i	0.997074	+	0.0764479i
$379$			5.31463i			0.272994i	0.990640	+	0.136497i	$0.0435844\pi$
$379$			5.31463i			0.272994i	−0.990640	+	0.136497i	$0.956416\pi$
$380$	−11.3501	+	2.92445i	−0.582249	+	0.150021i
$381$	5.61563	+	2.27196i	0.287697	+	0.116396i
$382$	1.20945	+	9.54135i	0.0618809	+	0.488178i
$383$	−29.4870			−1.50672			−0.753358	−	0.657611i	$-0.771567\pi$
$383$	−29.4870			−1.50672			−0.753358	+	0.657611i	$0.771567\pi$
$384$	−16.7158	−	10.2265i	−0.853026	−	0.521868i
$385$	4.32983	−	1.97074i	0.220669	−	0.100438i
$386$	29.7900	+	12.5078i	1.51627	+	0.636628i
$387$	13.1720	+	3.29742i	0.669571	+	0.167617i
$388$	4.60246	−	1.18586i	0.233655	−	0.0602029i
$389$			28.7891i			1.45967i	0.683626	+	0.729833i	$0.260402\pi$
$389$			28.7891i			1.45967i	−0.683626	+	0.729833i	$0.739598\pi$
$390$	6.01088	−	22.7455i	0.304373	−	1.15177i
$391$	3.41514	+	1.97173i	0.172711	+	0.0997147i
$392$	−18.6770	−	6.57047i	−0.943329	−	0.331859i
$393$	−1.40408	+	3.47048i	−0.0708263	+	0.175062i
$394$	−7.84407	−	10.3251i	−0.395178	−	0.520172i
$395$	1.50630	−	2.60899i	0.0757903	−	0.131273i
$396$	−5.73392	+	3.36328i	−0.288141	+	0.169011i
$397$	12.1214	+	20.9948i	0.608354	+	1.05370i	0.991512	+	0.130017i	$0.0415031\pi$
$397$	12.1214	+	20.9948i	0.608354	+	1.05370i	−0.383158	+	0.923683i	$0.625164\pi$
$398$	18.1678	−	2.30293i	0.910671	−	0.115436i
$399$	13.9647	−	8.87792i	0.699111	−	0.444452i
$400$	−8.10391	−	4.88920i	−0.405195	−	0.244460i
$401$			6.74572i			0.336865i	0.985713	+	0.168433i	$0.0538706\pi$
$401$			6.74572i			0.336865i	−0.985713	+	0.168433i	$0.946129\pi$
$402$	−23.7911	−	23.6281i	−1.18659	−	1.17846i
$403$			10.9667i			0.546293i
$404$	−0.428176	−	0.119159i	−0.0213026	−	0.00592838i
$405$	14.5983	−	0.482067i	0.725396	−	0.0239541i
$406$	5.63223	−	0.166872i	0.279523	−	0.00828174i
$407$	4.19451	+	7.26510i	0.207914	+	0.360118i
$408$	−31.6212	−	18.5183i	−1.56548	−	0.916794i
$409$	0.232345	+	0.402434i	0.0114887	+	0.0198991i	0.871713	−	0.490017i	$-0.163010\pi$
$409$	0.232345	+	0.402434i	0.0114887	+	0.0198991i	−0.860224	+	0.509917i	$0.829676\pi$
$410$	1.77019	+	13.9650i	0.0874233	+	0.689682i
$411$	17.2457	+	6.97722i	0.850666	+	0.344161i
$412$	10.0608	+	2.79985i	0.495658	+	0.137939i
$413$	−17.2306	+	24.1322i	−0.847863	+	1.18747i
$414$	−2.22083	−	0.266002i	−0.109148	−	0.0130733i
$415$	15.2724	−	8.81753i	0.749693	−	0.432835i
$416$	13.5520	−	30.6123i	0.664442	−	1.50089i
$417$	11.9472	−	9.32509i	0.585059	−	0.456652i
$418$	−2.19032	+	5.21673i	−0.107132	+	0.255159i
$419$	12.9399	−	22.4126i	0.632156	−	1.09493i	−0.354954	−	0.934884i	$-0.615503\pi$
$419$	12.9399	−	22.4126i	0.632156	−	1.09493i	0.987110	−	0.160043i	$-0.0511633\pi$
$420$	−14.4869	−	3.37276i	−0.706886	−	0.164574i
$421$	11.7655	+	20.3784i	0.573413	+	0.993180i	0.996212	+	0.0869569i	$0.0277143\pi$
$421$	11.7655	+	20.3784i	0.573413	+	0.993180i	−0.422799	+	0.906223i	$0.638952\pi$
$422$	−9.34380	+	1.18441i	−0.454849	+	0.0576561i
$423$	−11.4419	+	3.26917i	−0.556323	+	0.158952i
$424$	−1.64783	+	11.2578i	−0.0800255	+	0.546728i
$425$	−15.3276	−	8.84942i	−0.743500	−	0.429260i
$426$	5.19018	+	19.1069i	0.251465	+	0.925734i
$427$	29.8768	+	2.89110i	1.44584	+	0.139910i
$428$	−20.6713	+	5.32613i	−0.999187	+	0.257448i
$429$	−6.98764	−	8.95251i	−0.337366	−	0.432231i
$430$	−9.57823	−	4.02155i	−0.461903	−	0.193937i
$431$	2.24774	−	3.89320i	0.108270	−	0.187529i	−0.806800	−	0.590825i	$-0.798802\pi$
$431$	2.24774	−	3.89320i	0.108270	−	0.187529i	0.915069	+	0.403296i	$0.132136\pi$
$432$	20.6214	+	2.59947i	0.992148	+	0.125067i
$433$	−8.15969			−0.392130			−0.196065	−	0.980591i	$-0.562816\pi$
$433$	−8.15969			−0.392130			−0.196065	+	0.980591i	$0.562816\pi$
$434$	6.93056	−	0.205340i	0.332678	−	0.00985663i
$435$	4.19224	−	0.587153i	0.201002	−	0.0281519i
$436$	−12.7144	−	12.9615i	−0.608907	−	0.620745i
$437$	−1.64867	+	0.951862i	−0.0788668	+	0.0455338i
$438$	−15.6943	−	4.14747i	−0.749901	−	0.198174i
$439$	2.27227	+	1.31190i	0.108450	+	0.0626135i	0.553244	−	0.833019i	$-0.313390\pi$
$439$	2.27227	+	1.31190i	0.108450	+	0.0626135i	−0.444794	+	0.895633i	$0.646723\pi$
$440$	4.72618	−	1.87816i	0.225312	−	0.0895379i
$441$	20.9235	−	1.79061i	0.996358	−	0.0852670i
$442$	24.2357	−	57.7227i	1.15277	−	2.74559i
$443$	−2.57125	+	4.45353i	−0.122164	+	0.211594i	−0.920621	−	0.390458i	$-0.872317\pi$
$443$	−2.57125	+	4.45353i	−0.122164	+	0.211594i	0.798457	+	0.602052i	$0.205650\pi$
$444$	3.45939	−	26.0006i	0.164176	−	1.23393i
$445$	−1.17182	−	2.02966i	−0.0555497	−	0.0962149i
$446$	0.0957980	−	0.228164i	0.00453617	−	0.0108039i
$447$	−12.5717	−	5.08622i	−0.594620	−	0.240570i
$448$	−19.5995	−	7.99117i	−0.925990	−	0.377547i
$449$			11.1570i			0.526530i	0.964724	+	0.263265i	$0.0847993\pi$
$449$			11.1570i			0.526530i	−0.964724	+	0.263265i	$0.915201\pi$
$450$	9.96742	+	1.19386i	0.469869	+	0.0562789i
$451$	5.88477	+	3.39758i	0.277103	+	0.159986i
$452$	10.6240	−	10.4214i	0.499712	−	0.490182i
$453$	−9.09909	−	3.68129i	−0.427513	−	0.172962i
$454$	21.3230	−	16.1993i	1.00074	−	0.760269i
$455$	2.44756	−	25.2932i	0.114743	−	1.18577i
$456$	15.3748	−	8.75023i	0.719989	−	0.409767i
$457$	−7.46245	+	12.9253i	−0.349079	+	0.604622i	−0.986086	−	0.166236i	$-0.946839\pi$
$457$	−7.46245	+	12.9253i	−0.349079	+	0.604622i	0.637007	+	0.770858i	$0.280172\pi$
$458$	−0.902867	+	0.685915i	−0.0421882	+	0.0320507i
$459$	38.6488	+	4.11774i	1.80397	+	0.192200i
$460$	1.64855	+	0.458780i	0.0768639	+	0.0213908i
$461$	−27.5276	+	15.8931i	−1.28209	+	0.740215i	−0.977230	−	0.212183i	$-0.931943\pi$
$461$	−27.5276	+	15.8931i	−1.28209	+	0.740215i	−0.304860	+	0.952397i	$0.598610\pi$
$462$	−5.52681	+	4.58354i	−0.257130	+	0.213246i
$463$	−19.3736	−	11.1854i	−0.900368	−	0.519828i	−0.0230485	−	0.999734i	$-0.507337\pi$
$463$	−19.3736	−	11.1854i	−0.900368	−	0.519828i	−0.877320	+	0.479907i	$0.840671\pi$
$464$	6.02263	+	0.115970i	0.279594	+	0.00538377i
$465$	5.15863	−	0.722504i	0.239226	−	0.0335053i
$466$	−4.64944	+	11.0737i	−0.215381	+	0.512979i
$467$	9.10952	+	15.7782i	0.421538	+	0.730126i	0.996090	−	0.0883422i	$-0.0281569\pi$
$467$	9.10952	+	15.7782i	0.421538	+	0.730126i	−0.574552	+	0.818468i	$0.694824\pi$
$468$	0.244241	+	35.5078i	0.0112900	+	1.64135i
$469$	−29.4750	−	21.0454i	−1.36103	−	0.971787i
$470$	9.03164	−	1.14484i	0.416599	−	0.0528075i
$471$	16.2386	−	2.27433i	0.748234	−	0.104796i
$472$	−19.6586	+	24.8677i	−0.904862	+	1.14463i
$473$	−4.34279	+	2.50731i	−0.199682	+	0.115286i
$474$	−1.16173	+	4.39605i	−0.0533599	+	0.201917i
$475$	7.39949	−	4.27210i	0.339512	−	0.196017i
$476$	−36.9323	−	14.2352i	−1.69279	−	0.652470i
$477$	−3.31538	−	11.6036i	−0.151801	−	0.531293i
$478$	4.79198	+	37.8039i	0.219180	+	1.72911i
$479$	8.40407			0.383992			0.191996	−	0.981396i	$-0.438504\pi$
$479$	8.40407			0.383992			0.191996	+	0.981396i	$0.438504\pi$
$480$	−15.2925	−	4.35793i	−0.698002	−	0.198911i
$481$	44.8111			2.04321
$482$	15.4689	−	11.7518i	0.704588	−	0.535281i
$483$	−2.41372	+	0.103093i	−0.109828	+	0.00469089i
$484$	−5.24013	+	18.8295i	−0.238188	+	0.855885i
$485$	3.33999	−	1.92834i	0.151661	−	0.0875615i
$486$	−21.0722	+	6.47797i	−0.955853	+	0.293847i
$487$	11.0939	+	6.40506i	0.502712	+	0.290241i	0.729833	−	0.683625i	$-0.239598\pi$
$487$	11.0939	+	6.40506i	0.502712	+	0.290241i	−0.227121	+	0.973867i	$0.572931\pi$
$488$	31.7505	+	4.64738i	1.43728	+	0.210377i
$489$	4.44480	+	31.7355i	0.201001	+	1.43513i
$490$	−16.0302	−	1.07318i	−0.724170	−	0.0484811i
$491$	−4.56732	+	7.91082i	−0.206120	+	0.357010i	−0.950489	−	0.310758i	$-0.899417\pi$
$491$	−4.56732	+	7.91082i	−0.206120	+	0.357010i	0.744369	+	0.667769i	$0.232750\pi$
$492$	−8.10359	−	19.6401i	−0.365338	−	0.885444i
$493$	11.2645			0.507327
$494$	18.2826	+	24.0654i	0.822575	+	1.08275i
$495$	−3.75080	+	3.87670i	−0.168586	+	0.174245i
$496$	7.41096	+	0.142703i	0.332762	+	0.00640757i
$497$	8.85929	+	19.4644i	0.397393	+	0.873096i
$498$	−18.7561	+	18.8855i	−0.840480	+	0.846281i
$499$			24.7530i			1.10810i	0.832484	+	0.554049i	$0.186918\pi$
$499$			24.7530i			1.10810i	−0.832484	+	0.554049i	$0.813082\pi$
$500$	−23.0339	−	6.41021i	−1.03011	−	0.286673i
$501$	22.7056	+	29.0903i	1.01441	+	1.29966i
$502$	4.47492	−	3.39963i	0.199725	−	0.151733i
$503$	−18.3846			−0.819728			−0.409864	−	0.912147i	$-0.634424\pi$
$503$	−18.3846			−0.819728			−0.409864	+	0.912147i	$0.634424\pi$
$504$	22.4350	−	0.819194i	0.999334	−	0.0364898i
$505$	−0.360651			−0.0160488
$506$	0.657747	−	0.499695i	0.0292404	−	0.0222142i
$507$	−37.7779	+	5.29108i	−1.67778	+	0.234985i
$508$	6.73887	+	1.87539i	0.298989	+	0.0832068i
$509$		−	9.12210i		−	0.404330i	−0.979351	−	0.202165i	$-0.935202\pi$
$509$		−	9.12210i		−	0.404330i	0.979351	−	0.202165i	$-0.0647977\pi$
$510$	−28.7487	−	7.59732i	−1.27301	−	0.336415i
$511$	−17.4522	−	1.68880i	−0.772039	−	0.0747080i
$512$	−20.5104	−	9.55633i	−0.906440	−	0.422334i
$513$	−11.0505	+	15.1643i	−0.487891	+	0.669519i
$514$	21.5736	+	28.3972i	0.951570	+	1.25255i
$515$	8.47414			0.373415
$516$	15.5421	+	2.06789i	0.684203	+	0.0910337i
$517$	2.19733	−	3.80588i	0.0966384	−	0.167383i
$518$	−0.839036	−	28.3189i	−0.0368651	−	1.24426i
$519$	0.346412	−	0.270383i	0.0152058	−	0.0118685i
$520$	3.93440	−	26.8795i	0.172535	−	1.17874i
$521$	2.72234	+	1.57174i	0.119268	+	0.0688592i	0.558447	−	0.829540i	$-0.311397\pi$
$521$	2.72234	+	1.57174i	0.119268	+	0.0688592i	−0.439179	+	0.898399i	$0.644731\pi$
$522$	−5.87381	+	2.51387i	−0.257090	+	0.110029i
$523$	15.0477	−	8.68779i	0.657990	−	0.379891i	−0.133521	−	0.991046i	$-0.542628\pi$
$523$	15.0477	−	8.68779i	0.657990	−	0.379891i	0.791511	+	0.611155i	$0.209295\pi$
$524$	−1.15899	+	4.16464i	−0.0506309	+	0.181933i
$525$	10.8331	−	0.462697i	0.472796	−	0.0201937i
$526$	33.4228	−	25.3915i	1.45730	−	1.10712i
$527$	13.8612			0.603802
$528$	−6.14073	+	4.60552i	−0.267241	+	0.200429i
$529$	−22.7221			−0.987916
$530$	1.16102	+	9.15931i	0.0504316	+	0.397855i
$531$	8.16496	−	32.6161i	0.354329	−	1.41542i
$532$	14.8661	−	12.0045i	0.644525	−	0.520462i
$533$	31.4343	−	18.1486i	1.36157	−	0.786104i
$534$	2.50983	+	2.49262i	0.108611	+	0.107866i
$535$	−15.0011	+	8.66090i	−0.648555	+	0.374443i
$536$	−30.3734	−	24.0110i	−1.31193	−	1.03712i
$537$	2.68748	+	3.44318i	0.115973	+	0.148584i
$538$	−24.0519	+	3.04879i	−1.03695	+	0.131443i
$539$	−5.09357	+	5.84828i	−0.219396	+	0.251903i
$540$	16.6864	−	2.45419i	0.718066	−	0.105611i
$541$	−1.74253	−	3.01815i	−0.0749173	−	0.129761i	0.826133	−	0.563475i	$-0.190536\pi$
$541$	−1.74253	−	3.01815i	−0.0749173	−	0.129761i	−0.901050	+	0.433715i	$0.857203\pi$
$542$	−12.7266	+	30.3113i	−0.546655	+	1.30198i
$543$	2.99635	−	7.40610i	0.128586	−	0.317826i
$544$	−38.6917	−	17.1288i	−1.65889	−	0.734390i
$545$	−12.7593	−	7.36660i	−0.546550	−	0.315551i
$546$	6.44234	+	37.8088i	0.275707	+	1.61807i
$547$	34.7908	−	20.0865i	1.48755	−	0.858837i	0.487649	−	0.873040i	$-0.337854\pi$
$547$	34.7908	−	20.0865i	1.48755	−	0.858837i	0.999899	+	0.0142029i	$0.00452109\pi$
$548$	20.6952	+	5.75934i	0.884054	+	0.246027i
$549$	−32.7258	+	9.35039i	−1.39670	+	0.399065i
$550$	−2.95206	+	2.24271i	−0.125876	+	0.0956293i
$551$	−2.71899	+	4.70944i	−0.115833	+	0.200629i
$552$	−2.58267	−	0.0159804i	−0.109926	−	0.000680171i
$553$	−0.473041	+	4.88844i	−0.0201158	+	0.207878i
$554$	−12.9574	+	9.84380i	−0.550505	+	0.418223i
$555$	−2.95221	−	21.0786i	−0.125314	−	0.894737i
$556$	12.4931	−	12.2548i	0.529825	−	0.519721i
$557$	30.1155	+	17.3872i	1.27603	+	0.736718i	0.976117	−	0.217247i	$-0.0697077\pi$
$557$	30.1155	+	17.3872i	1.27603	+	0.736718i	0.299917	+	0.953965i	$0.403041\pi$
$558$	−7.22784	+	3.09336i	−0.305979	+	0.130952i
$559$			26.7863i			1.13294i
$560$	−17.0605	−	1.98310i	−0.720937	−	0.0838014i
$561$	−11.3153	+	8.83186i	−0.477733	+	0.372882i
$562$	−9.47226	+	22.5603i	−0.399563	+	0.951649i
$563$	−14.5025	−	25.1191i	−0.611207	−	1.05864i	−0.991037	−	0.133586i	$-0.957351\pi$
$563$	−14.5025	−	25.1191i	−0.611207	−	1.05864i	0.379830	−	0.925056i	$-0.375983\pi$
$564$	−12.7019	+	5.24087i	−0.534847	+	0.220680i
$565$	6.03809	−	10.4583i	0.254024	−	0.439983i
$566$	−11.1934	+	26.6595i	−0.470492	+	1.12058i
$567$	−21.3351	+	10.5742i	−0.895989	+	0.444075i
$568$	8.44312	+	21.2461i	0.354265	+	0.891468i
$569$	−30.3977	−	17.5501i	−1.27434	−	0.735740i	−0.298538	−	0.954398i	$-0.596499\pi$
$569$	−30.3977	−	17.5501i	−1.27434	−	0.735740i	−0.975802	+	0.218658i	$0.929832\pi$
$570$	10.1156	−	10.1854i	0.423694	−	0.426619i
$571$	−7.63663	+	4.40901i	−0.319583	+	0.184511i	−0.651207	−	0.758900i	$-0.725737\pi$
$571$	−7.63663	+	4.40901i	−0.319583	+	0.184511i	0.331624	+	0.943412i	$0.392404\pi$
$572$	−9.18301	−	9.36154i	−0.383961	−	0.391425i
$573$	−7.24762	−	9.28560i	−0.302774	−	0.387911i
$574$	−12.0578	−	19.5255i	−0.503283	−	0.814978i
$575$	−1.24742			−0.0520209
$576$	23.9982	+	0.296990i	0.999923	+	0.0123746i
$577$	−6.92780	+	11.9993i	−0.288408	+	0.499537i	−0.973430	−	0.228985i	$-0.926459\pi$
$577$	−6.92780	+	11.9993i	−0.288408	+	0.499537i	0.685022	+	0.728522i	$0.259793\pi$
$578$	−50.7902	−	21.3250i	−2.11260	−	0.887003i
$579$	−39.1882	+	5.48859i	−1.62860	+	0.228098i
$580$	4.73343	−	1.21960i	0.196545	−	0.0506413i
$581$	−16.7060	+	23.3974i	−0.693080	+	0.970689i
$582$	−4.10185	+	4.13016i	−0.170027	+	0.171201i
$583$	3.85968	+	2.22839i	0.159852	+	0.0922904i
$584$	−18.5467	−	2.71471i	−0.767467	−	0.112336i
$585$	7.91590	+	27.7051i	0.327282	+	1.14547i
$586$	−4.52041	+	0.573001i	−0.186736	+	0.0236705i
$587$	0.719382	+	1.24601i	0.0296921	+	0.0514282i	0.880490	−	0.474065i	$-0.157214\pi$
$587$	0.719382	+	1.24601i	0.0296921	+	0.0514282i	−0.850798	+	0.525494i	$0.823881\pi$
$588$	23.7731	−	4.77924i	0.980385	−	0.197092i
$589$	−3.34578	+	5.79505i	−0.137860	+	0.238781i
$590$	−9.95802	+	23.7173i	−0.409965	+	0.976424i
$591$	14.7218	+	5.95611i	0.605573	+	0.245001i
$592$	0.583098	−	30.2818i	0.0239652	−	1.24458i
$593$	−0.152182	+	0.0878622i	−0.00624935	+	0.00360807i	−0.503121	−	0.864216i	$-0.667815\pi$
$593$	−0.152182	+	0.0878622i	−0.00624935	+	0.00360807i	0.496872	+	0.867824i	$0.334482\pi$
$594$	3.92934	−	7.13054i	0.161223	−	0.292570i
$595$	−31.9688	−	3.09354i	−1.31059	−	0.126823i
$596$	−15.0863	−	4.19842i	−0.617958	−	0.171974i
$597$	−17.6808	+	13.8003i	−0.723629	+	0.564809i
$598$	−0.554865	−	4.37733i	−0.0226901	−	0.179002i
$599$	16.9514	+	29.3607i	0.692616	+	1.19965i	0.970978	+	0.239170i	$0.0768752\pi$
$599$	16.9514	+	29.3607i	0.692616	+	1.19965i	−0.278362	+	0.960476i	$0.589791\pi$
$600$	11.5914	+	0.0717224i	0.473218	+	0.00292805i
$601$	3.53802	+	6.12803i	0.144319	+	0.249968i	0.929119	−	0.369782i	$-0.120568\pi$
$601$	3.53802	+	6.12803i	0.144319	+	0.249968i	−0.784800	+	0.619749i	$0.787234\pi$
$602$	16.9279	−	0.501543i	0.689930	−	0.0204414i
$603$	39.8372	+	9.97266i	1.62230	+	0.406118i
$604$	−10.9191	−	3.03872i	−0.444292	−	0.123644i
$605$			15.8600i			0.644800i
$606$	0.525300	−	0.142692i	0.0213388	−	0.00579646i
$607$			20.4569i			0.830319i	0.909749	+	0.415159i	$0.136274\pi$
$607$			20.4569i			0.830319i	−0.909749	+	0.415159i	$0.863726\pi$
$608$	16.5005	−	12.0416i	0.669182	−	0.488353i
$609$	−5.82381	+	3.70242i	−0.235993	+	0.150030i
$610$	25.8321	−	3.27444i	1.04591	−	0.132578i
$611$	−11.7373	−	20.3296i	−0.474841	−	0.822450i
$612$	44.8793	−	0.308703i	1.81414	−	0.0124786i
$613$	23.2883	−	40.3365i	0.940604	−	1.62917i	0.176283	−	0.984340i	$-0.443593\pi$
$613$	23.2883	−	40.3365i	0.940604	−	1.62917i	0.764322	−	0.644835i	$-0.223074\pi$
$614$	10.3980	+	13.6868i	0.419628	+	0.552355i
$615$	−10.6078	−	13.5907i	−0.427749	−	0.548029i
$616$	−5.74419	+	5.97859i	−0.231440	+	0.240884i
$617$	−17.0288	−	9.83161i	−0.685555	−	0.395806i	0.116389	−	0.993204i	$-0.462868\pi$
$617$	−17.0288	−	9.83161i	−0.685555	−	0.395806i	−0.801945	+	0.597398i	$0.796201\pi$
$618$	−12.3428	+	3.35279i	−0.496502	+	0.134869i
$619$			30.6549i			1.23212i	0.787698	+	0.616062i	$0.211273\pi$
$619$			30.6549i			1.23212i	−0.787698	+	0.616062i	$0.788727\pi$
$620$	5.82458	−	1.50075i	0.233921	−	0.0602714i
$621$	2.50414	−	1.11065i	0.100488	−	0.0445689i
$622$	4.38717	+	1.84201i	0.175909	+	0.0738580i
$623$	3.10945	+	2.22017i	0.124577	+	0.0889493i
$624$	4.90431	+	40.7075i	0.196329	+	1.62960i
$625$	−7.57072			−0.302829
$626$	−1.46101	−	11.5259i	−0.0583936	−	0.460667i
$627$	−0.961144	−	6.86250i	−0.0383844	−	0.274062i
$628$	18.3349	−	4.72412i	0.731642	−	0.188513i
$629$		−	56.6380i		−	2.25830i
$630$	17.3604	−	5.52129i	0.691653	−	0.219973i
$631$			33.9202i			1.35034i	0.737661	+	0.675172i	$0.235930\pi$
$631$			33.9202i			1.35034i	−0.737661	+	0.675172i	$0.764070\pi$
$632$	−0.760404	+	5.19502i	−0.0302473	+	0.206647i
$633$	9.09334	−	7.09756i	0.361428	−	0.282103i
$634$	3.04846	−	0.386420i	0.121070	−	0.0153467i
$635$	5.67612			0.225250
$636$	−5.31495	−	12.8815i	−0.210751	−	0.510783i
$637$	13.4501	+	39.1825i	0.532913	+	1.55247i
$638$	0.913445	−	2.17557i	0.0361636	−	0.0861318i
$639$	−17.4274	−	16.8614i	−0.689416	−	0.667026i
$640$	−18.1131	−	3.00850i	−0.715982	−	0.118921i
$641$		−	41.0892i		−	1.62292i	−0.584405	−	0.811462i	$-0.698672\pi$
$641$		−	41.0892i		−	1.62292i	0.584405	−	0.811462i	$-0.301328\pi$
$642$	18.4229	−	18.5501i	0.727094	−	0.732113i
$643$	−43.0434	−	24.8511i	−1.69747	−	0.980033i	−0.948151	−	0.317820i	$-0.897049\pi$
$643$	−43.0434	−	24.8511i	−1.69747	−	0.980033i	−0.749316	−	0.662213i	$-0.769617\pi$
$644$	−2.75591	+	0.432614i	−0.108598	+	0.0170474i
$645$	12.6000	−	1.76472i	0.496123	−	0.0694856i
$646$	30.4169	−	23.1079i	1.19674	−	0.909169i
$647$	8.17906	−	14.1666i	0.321552	−	0.556945i	−0.659256	−	0.751918i	$-0.729129\pi$
$647$	8.17906	−	14.1666i	0.321552	−	0.556945i	0.980808	+	0.194974i	$0.0624621\pi$
$648$	−23.3332	+	10.1766i	−0.916614	+	0.399773i
$649$	6.20851	+	10.7535i	0.243705	+	0.422110i
$650$	2.49031	+	19.6461i	0.0976782	+	0.770583i
$651$	−7.16632	+	4.55590i	−0.280870	+	0.178560i
$652$	9.23249	+	35.8324i	0.361572	+	1.40331i
$653$			3.16554i			0.123877i	0.998080	+	0.0619387i	$0.0197283\pi$
$653$			3.16554i			0.123877i	−0.998080	+	0.0619387i	$0.980272\pi$
$654$	21.4990	+	5.68145i	0.840676	+	0.222162i
$655$			3.50786i			0.137063i
$656$	−11.8552	−	21.4784i	−0.462868	−	0.838592i
$657$	19.1164	−	5.46192i	0.745800	−	0.213090i
$658$	−12.6278	+	7.79819i	−0.492282	+	0.304005i
$659$	−12.9324	−	22.3996i	−0.503776	−	0.872565i	−0.999990	−	0.00436530i	$-0.998610\pi$
$659$	−12.9324	−	22.3996i	−0.503776	−	0.872565i	0.496215	−	0.868200i	$-0.334723\pi$
$660$	−3.79856	+	4.93633i	−0.147859	+	0.192146i
$661$	6.74063	+	11.6751i	0.262180	+	0.454109i	0.966821	−	0.255455i	$-0.0822253\pi$
$661$	6.74063	+	11.6751i	0.262180	+	0.454109i	−0.704641	+	0.709564i	$0.748892\pi$
$662$	28.7251	−	3.64116i	1.11643	−	0.141518i
$663$	10.6350	+	75.9329i	0.413028	+	2.94899i
$664$	−19.0601	+	24.1106i	−0.739674	+	0.935671i
$665$	9.00990	−	12.6188i	0.349389	−	0.489334i
$666$	12.6397	+	29.5336i	0.489780	+	1.14440i
$667$	0.687559	−	0.396962i	0.0266224	−	0.0153704i
$668$	29.8393	+	30.4194i	1.15452	+	1.17696i
$669$	0.0420376	+	0.300145i	0.00162527	+	0.0116043i
$670$	−28.9682	−	12.1627i	−1.11914	−	0.469886i
$671$	6.28474	−	10.8855i	0.242620	−	0.420230i
$672$	25.6337	−	3.86153i	0.988843	−	0.148962i
$673$	−7.87176	−	13.6343i	−0.303434	−	0.525563i	0.673477	−	0.739208i	$-0.264800\pi$
$673$	−7.87176	−	13.6343i	−0.303434	−	0.525563i	−0.976911	+	0.213644i	$0.931467\pi$
$674$	−3.76785	−	29.7246i	−0.145132	−	1.14495i
$675$	−11.2390	+	4.98477i	−0.432588	+	0.191864i
$676$	−42.6549	+	10.9903i	−1.64057	+	0.422706i
$677$	21.7832	+	12.5765i	0.837197	+	0.483356i	0.856310	−	0.516461i	$-0.172751\pi$
$677$	21.7832	+	12.5765i	0.837197	+	0.483356i	−0.0191135	+	0.999817i	$0.506084\pi$
$678$	−4.65685	+	17.6218i	−0.178845	+	0.676760i
$679$	−3.65350	+	5.11689i	−0.140208	+	0.196368i
$680$	−33.9738	−	4.97280i	−1.30283	−	0.190698i
$681$	−12.3003	+	30.4028i	−0.471349	+	1.16504i
$682$	1.12401	−	2.67708i	0.0430406	−	0.102511i
$683$	14.5432	−	25.1896i	0.556480	−	0.963852i	−0.441307	−	0.897356i	$-0.645485\pi$
$683$	14.5432	−	25.1896i	0.556480	−	0.963852i	0.997787	−	0.0664956i	$-0.0211818\pi$
$684$	−10.7038	+	18.8376i	−0.409270	+	0.720272i
$685$	17.4315			0.666022
$686$	24.5100	−	9.23360i	0.935797	−	0.352541i
$687$	0.520824	−	1.28733i	0.0198707	−	0.0491146i
$688$	18.1013	+	0.348553i	0.690105	+	0.0132885i
$689$	20.6170	−	11.9032i	0.785446	−	0.453477i
$690$	−2.02249	+	0.549386i	−0.0769947	+	0.0209148i
$691$	−31.9946	−	18.4721i	−1.21713	−	0.702711i	−0.252828	−	0.967511i	$-0.581361\pi$
$691$	−31.9946	−	18.4721i	−1.21713	−	0.702711i	−0.964303	+	0.264801i	$0.914694\pi$
$692$	0.362239	−	0.355331i	0.0137703	−	0.0135077i
$693$	2.94723	−	8.28526i	0.111956	−	0.314731i
$694$	−26.6478	−	11.1884i	−1.01154	−	0.424708i
$695$	7.10037	−	12.2982i	0.269332	−	0.466497i
$696$	−6.41185	+	3.64917i	−0.243041	+	0.138322i
$697$	−22.9385	−	39.7307i	−0.868859	−	1.50491i
$698$	33.3610	+	14.0071i	1.26273	+	0.530177i
$699$	−2.04024	−	14.5672i	−0.0771691	−	0.550982i
$700$	12.3689	−	1.94163i	0.467502	−	0.0733869i
$701$		−	2.75255i		−	0.103962i	−0.998648	−	0.0519812i	$-0.983446\pi$
$701$		−	2.75255i		−	0.103962i	0.998648	−	0.0519812i	$-0.0165536\pi$
$702$	−22.4913	−	37.2215i	−0.848879	−	1.40483i
$703$	23.6791	+	13.6711i	0.893074	+	0.515616i
$704$	−6.44571	+	6.08375i	−0.242932	+	0.229290i
$705$	−8.78955	+	6.86044i	−0.331034	+	0.258379i
$706$	18.8605	+	24.8260i	0.709824	+	0.934338i
$707$	0.535126	−	0.243565i	0.0201255	−	0.00916021i
$708$	5.12043	−	38.4848i	0.192438	−	1.44635i
$709$	21.7068	−	37.5972i	0.815215	−	1.41199i	−0.0939581	−	0.995576i	$-0.529952\pi$
$709$	21.7068	−	37.5972i	0.815215	−	1.41199i	0.909173	−	0.416418i	$-0.136715\pi$
$710$	11.2227	+	14.7723i	0.421179	+	0.554396i
$711$	−1.52991	−	5.35459i	−0.0573761	−	0.200813i
$712$	3.20422	+	2.53302i	0.120083	+	0.0949291i
$713$	0.846054	−	0.488470i	0.0316850	−	0.0182933i
$714$	47.7876	−	8.14265i	1.78840	−	0.304731i
$715$	−9.21549	−	5.32057i	−0.344640	−	0.198978i
$716$	3.53183	+	3.60049i	0.131991	+	0.134557i
$717$	−28.7159	−	36.7906i	−1.07241	−	1.37397i
$718$	−29.5109	−	12.3906i	−1.10134	−	0.462411i
$719$	−22.6916	−	39.3031i	−0.846255	−	1.46576i	−0.884527	−	0.466489i	$-0.845519\pi$
$719$	−22.6916	−	39.3031i	−0.846255	−	1.46576i	0.0382718	−	0.999267i	$-0.487815\pi$
$720$	18.8252	−	4.98879i	0.701574	−	0.185921i
$721$	−12.5737	+	5.72299i	−0.468270	+	0.213135i
$722$	−1.06001	−	8.36240i	−0.0394494	−	0.311216i
$723$	−8.92332	+	22.0559i	−0.331862	+	0.820267i
$724$	2.47333	−	8.88748i	0.0919207	−	0.330301i
$725$	−3.08587	+	1.78163i	−0.114606	+	0.0661679i
$726$	−6.27501	−	23.1006i	−0.232887	−	0.857343i
$727$	2.94179	−	1.69844i	0.109105	−	0.0629917i	−0.444455	−	0.895801i	$-0.646603\pi$
$727$	2.94179	−	1.69844i	0.109105	−	0.0629917i	0.553559	+	0.832810i	$0.313269\pi$
$728$	12.3152	+	42.5403i	0.456433	+	1.57665i
$729$	18.1235	−	20.0134i	0.671242	−	0.741238i
$730$	−15.0895	+	1.91273i	−0.558487	+	0.0707932i
$731$	33.8559			1.25221
$732$	−36.3297	+	14.9898i	−1.34278	+	0.554039i
$733$	14.5421			0.537125			0.268563	−	0.963262i	$-0.413451\pi$
$733$	14.5421			0.537125			0.268563	+	0.963262i	$0.413451\pi$
$734$	24.1093	+	31.7350i	0.889892	+	1.17136i
$735$	17.5449	−	8.90816i	0.647152	−	0.328583i
$736$	−2.96527	+	0.318000i	−0.109301	+	0.0117216i
$737$	−13.1343	+	7.58306i	−0.483806	+	0.279326i
$738$	20.8278	+	15.5982i	0.766681	+	0.574180i
$739$	−1.89468	−	1.09390i	−0.0696970	−	0.0402396i	0.464747	−	0.885444i	$-0.346145\pi$
$739$	−1.89468	−	1.09390i	−0.0696970	−	0.0402396i	−0.534444	+	0.845204i	$0.679479\pi$
$740$	−6.13218	−	23.7997i	−0.225423	−	0.874895i
$741$	−34.3129	−	13.8822i	−1.26052	−	0.509977i
$742$	−7.90842	−	12.8063i	−0.290327	−	0.470133i
$743$	−18.6078	+	32.2296i	−0.682654	+	1.18239i	0.291514	+	0.956567i	$0.405841\pi$
$743$	−18.6078	+	32.2296i	−0.682654	+	1.18239i	−0.974168	+	0.225825i	$0.927492\pi$
$744$	−7.88990	+	4.49038i	−0.289258	+	0.164625i
$745$	−12.7071			−0.465553
$746$	15.5619	−	11.8225i	0.569763	−	0.432853i
$747$	7.91635	−	31.6230i	0.289644	−	1.15702i
$748$	−11.8323	+	11.6067i	−0.432632	+	0.424381i
$749$	16.4092	−	22.9818i	0.599579	−	0.839737i
$750$	28.2587	−	7.67617i	1.03186	−	0.280294i
$751$			7.94782i			0.290020i	0.989430	+	0.145010i	$0.0463214\pi$
$751$			7.94782i			0.290020i	−0.989430	+	0.145010i	$0.953679\pi$
$752$	−13.8908	+	7.66716i	−0.506546	+	0.279592i
$753$	−2.58138	+	6.38044i	−0.0940708	+	0.232516i
$754$	−7.62454	−	10.0362i	−0.277669	−	0.365495i
$755$	−9.19711			−0.334717
$756$	−23.1014	+	14.9106i	−0.840190	+	0.542292i
$757$	−26.6849			−0.969879			−0.484940	−	0.874548i	$-0.661158\pi$
$757$	−26.6849			−0.969879			−0.484940	+	0.874548i	$0.661158\pi$
$758$	−4.54671	−	5.98481i	−0.165144	−	0.217378i
$759$	−0.379425	+	0.937830i	−0.0137723	+	0.0340411i
$760$	10.2795	−	13.0034i	0.372877	−	0.471681i
$761$		−	19.0997i		−	0.692363i	−0.938167	−	0.346182i	$-0.887478\pi$
$761$		−	19.0997i		−	0.692363i	0.938167	−	0.346182i	$-0.112522\pi$
$762$	−8.26745	+	2.24576i	−0.299498	+	0.0813553i
$763$	23.9070	+	2.31342i	0.865493	+	0.0837513i
$764$	−9.52467	−	9.70984i	−0.344590	−	0.351290i
$765$	35.0173	−	10.0051i	1.26605	−	0.361736i
$766$	33.2054	−	25.2264i	1.19976	−	0.911466i
$767$	66.3272			2.39494
$768$	27.5726	−	2.78447i	0.994940	−	0.100476i
$769$	7.07033	−	12.2462i	0.254963	−	0.441608i	−0.709923	−	0.704280i	$-0.751270\pi$
$769$	7.07033	−	12.2462i	0.254963	−	0.441608i	0.964885	+	0.262671i	$0.0846035\pi$
$770$	−3.18984	+	5.92346i	−0.114954	+	0.213467i
$771$	−40.4894	−	16.3811i	−1.45819	−	0.589951i
$772$	−44.2471	+	11.4006i	−1.59249	+	0.410317i
$773$	−1.43134	−	0.826385i	−0.0514817	−	0.0297230i	0.474038	−	0.880504i	$-0.342796\pi$
$773$	−1.43134	−	0.826385i	−0.0514817	−	0.0297230i	−0.525520	+	0.850781i	$0.676129\pi$
$774$	−17.6540	+	7.55554i	−0.634560	+	0.271578i
$775$	−3.79722	+	2.19232i	−0.136400	+	0.0787506i
$776$	−4.16833	+	5.27284i	−0.149634	+	0.189284i
$777$	18.6158	+	29.2822i	0.667839	+	1.05049i
$778$	−24.6293	−	32.4195i	−0.883004	−	1.16229i
$779$	22.1474			0.793512
$780$	12.6901	+	30.7562i	0.454380	+	1.10125i
$781$	8.95536			0.320448
$782$	−5.53262	+	0.701309i	−0.197846	+	0.0250787i
$783$	4.60846	−	6.32407i	0.164693	−	0.226004i
$784$	26.6533	−	8.57928i	0.951902	−	0.306403i
$785$	13.3056	−	7.68197i	0.474896	−	0.274181i
$786$	−1.38789	−	5.10931i	−0.0495043	−	0.182243i
$787$	5.44534	−	3.14387i	0.194105	−	0.112067i	−0.399798	−	0.916603i	$-0.630920\pi$
$787$	5.44534	−	3.14387i	0.194105	−	0.112067i	0.593903	+	0.804537i	$0.297586\pi$
$788$	17.6664	+	4.91646i	0.629341	+	0.175142i
$789$	−19.2801	+	47.6550i	−0.686391	+	1.69656i
$790$	0.535765	+	4.22665i	0.0190616	+	0.150377i
$791$	−1.89621	+	19.5956i	−0.0674215	+	0.696739i
$792$	3.57967	−	8.69282i	0.127198	−	0.308886i
$793$	−33.5708	−	58.1463i	−1.19213	−	2.06484i
$794$	−31.6111	−	13.2724i	−1.12184	−	0.471019i
$795$	−6.95741	−	8.91379i	−0.246754	−	0.316140i
$796$	−18.4887	+	18.1361i	−0.655313	+	0.642816i
$797$	3.45212	+	1.99308i	0.122280	+	0.0705986i	0.559893	−	0.828565i	$-0.310842\pi$
$797$	3.45212	+	1.99308i	0.122280	+	0.0705986i	−0.437612	+	0.899164i	$0.644176\pi$
$798$	−8.13058	+	21.9444i	−0.287819	+	0.776823i
$799$	−25.6952	+	14.8351i	−0.909031	+	0.524829i
$800$	13.3086	−	1.42723i	0.470529	−	0.0504602i
$801$	−4.20259	−	1.05206i	−0.148491	−	0.0371727i
$802$	−5.77102	−	7.59637i	−0.203782	−	0.268237i
$803$	−3.67116	+	6.35863i	−0.129552	+	0.224391i
$804$	47.0053	+	6.25408i	1.65775	+	0.220565i
$805$	−2.06032	+	0.937764i	−0.0726168	+	0.0330518i
$806$	−9.38215	−	12.3497i	−0.330472	−	0.434999i
$807$	23.4072	−	18.2699i	0.823973	−	0.643129i
$808$	0.584112	−	0.232123i	0.0205490	−	0.00816607i
$809$	−11.9903	−	6.92261i	−0.421557	−	0.243386i	0.274186	−	0.961677i	$-0.411592\pi$
$809$	−11.9903	−	6.92261i	−0.421557	−	0.243386i	−0.695743	+	0.718291i	$0.744925\pi$
$810$	−16.0268	+	13.0318i	−0.563123	+	0.457892i
$811$		−	31.3223i		−	1.09988i	−0.835206	−	0.549938i	$-0.814651\pi$
$811$		−	31.3223i		−	1.09988i	0.835206	−	0.549938i	$-0.185349\pi$
$812$	−6.19970	+	5.00633i	−0.217567	+	0.175688i
$813$	−5.58463	−	39.8739i	−0.195862	−	1.39844i
$814$	−10.9388	−	4.59281i	−0.383405	−	0.160978i
$815$	15.0131	+	26.0034i	0.525886	+	0.910861i
$816$	51.4513	−	6.19869i	1.80116	−	0.216997i
$817$	−8.17206	+	14.1544i	−0.285904	+	0.495201i
$818$	−0.605930	−	0.254408i	−0.0211859	−	0.00889518i
$819$	−30.4560	−	35.7623i	−1.06422	−	1.24964i
$820$	−13.9406	−	14.2116i	−0.486826	−	0.496291i
$821$	40.1722	+	23.1934i	1.40202	+	0.809457i	0.994600	−	0.103784i	$-0.0330950\pi$
$821$	40.1722	+	23.1934i	1.40202	+	0.809457i	0.407421	+	0.913241i	$0.366428\pi$
$822$	−25.3895	+	6.89676i	−0.885559	+	0.240552i
$823$	3.32006	−	1.91684i	0.115730	−	0.0668168i	−0.441018	−	0.897498i	$-0.645382\pi$
$823$	3.32006	−	1.91684i	0.115730	−	0.0668168i	0.556748	+	0.830682i	$0.312049\pi$
$824$	−13.7247	+	5.45415i	−0.478124	+	0.190004i
$825$	1.70292	−	4.20912i	0.0592880	−	0.146543i
$826$	−1.24190	−	41.9163i	−0.0432113	−	1.45845i
$827$	29.9172			1.04032			0.520162	−	0.854068i	$-0.325872\pi$
$827$	29.9172			1.04032			0.520162	+	0.854068i	$0.325872\pi$
$828$	2.72845	−	1.60039i	0.0948202	−	0.0556175i
$829$	−6.90778	+	11.9646i	−0.239917	+	0.415549i	−0.960690	−	0.277622i	$-0.910454\pi$
$829$	−6.90778	+	11.9646i	−0.239917	+	0.415549i	0.720773	+	0.693171i	$0.243787\pi$
$830$	−9.65482	+	22.9951i	−0.335124	+	0.798172i
$831$	7.47453	−	18.4749i	0.259289	−	0.640887i
$832$	10.9281	+	46.0664i	0.378864	+	1.59706i
$833$	49.5239	−	17.0000i	1.71590	−	0.589014i
$834$	−5.47612	+	20.7220i	−0.189623	+	0.717543i
$835$	29.9448	+	17.2887i	1.03628	+	0.598299i
$836$	−1.99644	−	7.74841i	−0.0690482	−	0.267984i
$837$	5.67080	−	7.78189i	0.196012	−	0.268982i
$838$	4.60249	+	36.3091i	0.158991	+	1.25428i
$839$	−14.7035	−	25.4672i	−0.507621	−	0.879225i	−0.999961	−	0.00882220i	$-0.997192\pi$
$839$	−14.7035	−	25.4672i	−0.507621	−	0.879225i	0.492340	−	0.870403i	$-0.336142\pi$
$840$	19.1991	−	8.59555i	0.662432	−	0.296575i
$841$	−13.3661	+	23.1507i	−0.460899	+	0.798301i
$842$	−30.6829	−	12.8827i	−1.05740	−	0.443966i
$843$	−4.15657	−	29.6776i	−0.143160	−	1.02215i
$844$	9.50880	−	9.32747i	0.327306	−	0.321065i
$845$	−30.9545	+	17.8716i	−1.06487	+	0.614801i
$846$	10.0879	−	13.4700i	0.346830	−	0.463109i
$847$	−10.7110	−	23.5327i	−0.368035	−	0.808593i
$848$	−7.77553	−	14.0872i	−0.267013	−	0.483756i
$849$	−4.91181	−	35.0700i	−0.168573	−	1.20360i
$850$	24.8312	−	3.14758i	0.851704	−	0.107961i
$851$	−1.99593	−	3.45705i	−0.0684196	−	0.118506i
$852$	−22.1908	−	17.0761i	−0.760245	−	0.585018i
$853$	3.70601	+	6.41901i	0.126892	+	0.219783i	0.922471	−	0.386067i	$-0.126167\pi$
$853$	3.70601	+	6.41901i	0.126892	+	0.219783i	−0.795579	+	0.605850i	$0.792833\pi$
$854$	−36.1177	+	22.3042i	−1.23592	+	0.763234i
$855$	−4.26946	+	17.0550i	−0.146013	+	0.583268i
$856$	18.7215	−	23.6823i	0.639887	−	0.809443i
$857$		−	23.0231i		−	0.786454i	−0.919441	−	0.393227i	$-0.871359\pi$
$857$		−	23.0231i		−	0.786454i	0.919441	−	0.393227i	$-0.128641\pi$
$858$	15.5277	+	4.10346i	0.530108	+	0.140090i
$859$			39.6857i			1.35406i	0.735955	+	0.677030i	$0.236733\pi$
$859$			39.6857i			1.35406i	−0.735955	+	0.677030i	$0.763267\pi$
$860$	14.2265	−	3.66557i	0.485121	−	0.124995i
$861$	24.9181	+	13.0016i	0.849206	+	0.443092i
$862$	0.799480	+	6.30710i	0.0272304	+	0.214821i
$863$	1.00969	+	1.74883i	0.0343701	+	0.0595308i	0.882699	−	0.469939i	$-0.155724\pi$
$863$	1.00969	+	1.74883i	0.0343701	+	0.0595308i	−0.848329	+	0.529470i	$0.822391\pi$
$864$	−25.4457	+	14.7145i	−0.865680	+	0.500598i
$865$	0.205876	−	0.356588i	0.00700001	−	0.0121244i
$866$	9.18864	−	6.98068i	0.312243	−	0.237213i
$867$	66.8135	−	9.35772i	2.26910	−	0.317805i
$868$	−7.62885	+	6.16039i	−0.258940	+	0.209097i
$869$	1.78108	+	1.02831i	0.0604192	+	0.0348830i
$870$	−4.21857	+	4.24769i	−0.143023	+	0.144010i
$871$			81.0120i			2.74499i
$872$	25.4064	+	3.71877i	0.860368	+	0.125934i
$873$	1.73126	−	6.91576i	0.0585943	−	0.234063i
$874$	1.04225	−	2.48235i	0.0352546	−	0.0839667i
$875$	28.7874	−	13.1027i	0.973191	−	0.442952i
$876$	21.2215	−	8.75611i	0.717010	−	0.295841i
$877$	56.4662			1.90673			0.953363	−	0.301825i	$-0.0975958\pi$
$877$	56.4662			1.90673			0.953363	+	0.301825i	$0.0975958\pi$
$878$	−3.68115	+	0.466618i	−0.124233	+	0.0157476i
$879$	4.39924	−	3.43370i	0.148383	−	0.115816i
$880$	−3.71538	+	6.15829i	−0.125245	+	0.207596i
$881$			37.0303i			1.24758i	0.781591	+	0.623791i	$0.214408\pi$
$881$			37.0303i			1.24758i	−0.781591	+	0.623791i	$0.785592\pi$
$882$	−22.0301	+	19.9167i	−0.741793	+	0.670629i
$883$			6.71801i			0.226079i	0.993590	+	0.113040i	$0.0360587\pi$
$883$			6.71801i			0.226079i	−0.993590	+	0.113040i	$0.963941\pi$
$884$	22.0904	+	85.7354i	0.742980	+	2.88359i
$885$	−4.36973	−	31.1995i	−0.146887	−	1.04876i
$886$	−0.914546	−	7.21485i	−0.0307248	−	0.242388i
$887$	−43.4080			−1.45750			−0.728749	−	0.684781i	$-0.759898\pi$
$887$	−43.4080			−1.45750			−0.728749	+	0.684781i	$0.759898\pi$
$888$	18.3481	+	32.2388i	0.615721	+	1.08186i
$889$	−8.42210	+	3.83336i	−0.282468	+	0.128567i
$890$	3.05598	+	1.28310i	0.102437	+	0.0430095i
$891$	0.329094	+	9.96585i	0.0110250	+	0.333869i
$892$	0.0873182	+	0.338892i	0.00292363	+	0.0113470i
$893$		−	14.3235i		−	0.479317i
$894$	18.5083	−	5.02757i	0.619010	−	0.168147i
$895$	3.54432	+	2.04631i	0.118474	+	0.0684007i
$896$	28.9076	−	7.76868i	0.965734	−	0.259533i
$897$	3.32502	+	4.25999i	0.111019	+	0.142237i
$898$	−9.54488	−	12.5639i	−0.318517	−	0.419262i
$899$	1.39531	−	2.41675i	0.0465363	−	0.0806032i
$900$	−12.2457	+	7.18281i	−0.408190	+	0.239427i
$901$	−15.0448	−	26.0584i	−0.501216	−	0.868131i
$902$	−9.53351	+	1.20846i	−0.317431	+	0.0402372i
$903$	−17.5037	+	11.1278i	−0.582488	+	0.370310i
$904$	−3.04812	+	20.8245i	−0.101379	+	0.692613i
$905$		−	7.48589i		−	0.248839i
$906$	13.3959	−	3.63884i	0.445048	−	0.120892i
$907$			13.9802i			0.464204i	0.972692	+	0.232102i	$0.0745602\pi$
$907$			13.9802i			0.464204i	−0.972692	+	0.232102i	$0.925440\pi$
$908$	−10.1533	+	36.4840i	−0.336949	+	1.21077i
$909$	−0.463564	+	0.479124i	−0.0153754	+	0.0158915i
$910$	18.8824	+	30.5767i	0.625945	+	1.01361i
$911$	−12.6875	−	21.9753i	−0.420354	−	0.728075i	0.575620	−	0.817717i	$-0.304761\pi$
$911$	−12.6875	−	21.9753i	−0.420354	−	0.728075i	−0.995974	+	0.0896426i	$0.971428\pi$
$912$	−9.82765	+	23.0069i	−0.325426	+	0.761834i
$913$	6.01947	+	10.4260i	0.199215	+	0.345051i
$914$	−2.65426	−	20.9394i	−0.0877951	−	0.692615i
$915$	−25.1397	+	19.6221i	−0.831091	+	0.648685i
$916$	0.429914	−	1.54482i	0.0142048	−	0.0510423i
$917$	−2.36903	−	5.20489i	−0.0782322	−	0.171881i
$918$	−47.0452	+	28.4274i	−1.55272	+	0.938243i
$919$	−44.5267	+	25.7075i	−1.46880	+	0.848012i	−0.999388	−	0.0349671i	$-0.988867\pi$
$919$	−44.5267	+	25.7075i	−1.46880	+	0.848012i	−0.469412	+	0.882979i	$0.655534\pi$
$920$	−2.24892	+	0.893711i	−0.0741447	+	0.0294648i
$921$	−19.5150	−	7.89533i	−0.643040	−	0.260160i
$922$	17.4023	−	41.4474i	0.573113	−	1.36500i
$923$	23.9181	−	41.4274i	0.787275	−	1.36360i
$924$	2.30249	−	9.88977i	0.0757464	−	0.325349i
$925$	8.95803	+	15.5158i	0.294538	+	0.510155i
$926$	31.3858	−	3.97843i	1.03140	−	0.130739i
$927$	10.8922	−	11.2579i	0.357748	−	0.369757i
$928$	−6.88131	+	5.02182i	−0.225890	+	0.164849i
$929$	0.520910	+	0.300748i	0.0170905	+	0.00986721i	0.508521	−	0.861050i	$-0.330192\pi$
$929$	0.520910	+	0.300748i	0.0170905	+	0.00986721i	−0.491430	+	0.870917i	$0.663526\pi$
$930$	−5.19103	+	5.22686i	−0.170221	+	0.171396i
$931$	−4.84663	+	24.8083i	−0.158842	+	0.813058i
$932$	−4.23788	−	16.4477i	−0.138816	−	0.538763i
$933$	−5.77123	+	0.808303i	−0.188941	+	0.0264626i
$934$	−23.7566	−	9.97454i	−0.777340	−	0.326377i
$935$	−6.72481	+	11.6477i	−0.219925	+	0.380921i
$936$	−30.6523	−	39.7765i	−1.00190	−	1.30013i
$937$	−7.87037			−0.257114			−0.128557	−	0.991702i	$-0.541034\pi$
$937$	−7.87037			−0.257114			−0.128557	+	0.991702i	$0.541034\pi$
$938$	51.1964	−	1.51686i	1.67162	−	0.0495271i
$939$	8.75508	+	11.2169i	0.285711	+	0.366051i
$940$	−9.19113	+	9.01585i	−0.299782	+	0.294065i
$941$	−25.2685	+	14.5888i	−0.823731	+	0.475581i	−0.851701	−	0.524028i	$-0.824429\pi$
$941$	−25.2685	+	14.5888i	−0.823731	+	0.475581i	0.0279707	+	0.999609i	$0.491095\pi$
$942$	−16.3406	+	16.4534i	−0.532405	+	0.536080i
$943$	−2.80023	−	1.61671i	−0.0911881	−	0.0526475i
$944$	0.863074	−	44.8217i	0.0280907	−	1.45882i
$945$	−14.8157	+	16.6822i	−0.481954	+	0.542673i
$946$	2.74540	−	6.53878i	0.0892607	−	0.212594i
$947$	−26.2206	+	45.4154i	−0.852056	+	1.47580i	0.0272941	+	0.999627i	$0.491311\pi$
$947$	−26.2206	+	45.4154i	−0.852056	+	1.47580i	−0.879350	+	0.476176i	$0.842022\pi$
$948$	−2.45263	−	5.94427i	−0.0796578	−	0.193061i
$949$	19.6100	+	33.9655i	0.636567	+	1.10257i
$950$	−4.67777	+	11.1411i	−0.151767	+	0.361467i
$951$	−2.96675	+	2.31562i	−0.0962035	+	0.0750890i
$952$	53.7679	−	15.5656i	1.74263	−	0.504483i
$953$		−	13.6937i		−	0.443583i	−0.975094	−	0.221792i	$-0.928810\pi$
$953$		−	13.6937i		−	0.443583i	0.975094	−	0.221792i	$-0.0711905\pi$
$954$	13.6604	+	10.2305i	0.442273	+	0.331225i
$955$	−9.55836	−	5.51852i	−0.309301	−	0.178575i
$956$	−37.7378	−	38.4715i	−1.22053	−	1.24426i
$957$	0.400833	+	2.86192i	0.0129571	+	0.0925127i
$958$	−9.46383	+	7.18975i	−0.305763	+	0.232290i
$959$	−25.8644	+	11.7723i	−0.835205	+	0.380147i
$960$	20.9491	−	8.17536i	0.676130	−	0.263859i
$961$	−13.7830	+	23.8729i	−0.444614	+	0.770094i
$962$	−50.4619	+	38.3363i	−1.62696	+	1.23601i
$963$	−7.77573	+	31.0612i	−0.250569	+	1.00093i
$964$	−7.36575	+	26.4675i	−0.237235	+	0.852461i
$965$	−32.1100	+	18.5387i	−1.03366	+	0.596782i
$966$	2.62989	−	2.18105i	0.0846155	−	0.0701741i
$967$	−4.97450	−	2.87203i	−0.159969	−	0.0923583i	0.417878	−	0.908503i	$-0.362774\pi$
$967$	−4.97450	−	2.87203i	−0.159969	−	0.0923583i	−0.577848	+	0.816145i	$0.696107\pi$
$968$	−10.2079	−	25.6869i	−0.328093	−	0.825608i
$969$	−17.5462	+	43.3691i	−0.563664	+	1.39321i
$970$	−2.11145	+	5.02890i	−0.0677947	+	0.161468i
$971$	−4.17759	−	7.23580i	−0.134065	−	0.232208i	0.791175	−	0.611590i	$-0.209470\pi$
$971$	−4.17759	−	7.23580i	−0.134065	−	0.232208i	−0.925240	+	0.379382i	$0.876136\pi$
$972$	18.1874	−	25.3223i	0.583362	−	0.812212i
$973$	−2.22981	+	23.0430i	−0.0714844	+	0.738725i
$974$	−17.9724	+	2.27817i	−0.575874	+	0.0729971i
$975$	−14.9232	−	19.1195i	−0.477924	−	0.612313i
$976$	−39.7302	+	21.9294i	−1.27173	+	0.701943i
$977$	−38.2702	+	22.0953i	−1.22437	+	0.706891i	−0.965847	−	0.259114i	$-0.916569\pi$
$977$	−38.2702	+	22.0953i	−1.22437	+	0.706891i	−0.258524	+	0.966005i	$0.583236\pi$
$978$	−32.1553	−	31.9349i	−1.02821	−	1.02116i
$979$	1.38559	−	0.799970i	0.0442836	−	0.0255671i
$980$	18.9697	−	12.5055i	0.605966	−	0.399472i
$981$	−26.1867	+	7.48206i	−0.836078	+	0.238884i
$982$	−1.62451	−	12.8158i	−0.0518403	−	0.408968i
$983$	−16.6293			−0.530392			−0.265196	−	0.964195i	$-0.585437\pi$
$983$	−16.6293			−0.530392			−0.265196	+	0.964195i	$0.585437\pi$
$984$	25.9277	+	15.1841i	0.826546	+	0.484050i
$985$	14.8804			0.474128
$986$	−12.6850	+	9.63687i	−0.403972	+	0.306900i
$987$	8.40856	−	16.1154i	0.267647	−	0.512958i
$988$	−41.1762	−	11.4591i	−1.30999	−	0.364562i
$989$	2.06649	−	1.19309i	0.0657105	−	0.0379380i
$990$	0.907230	−	7.57440i	0.0288337	−	0.240730i
$991$	2.55015	+	1.47233i	0.0810081	+	0.0467700i	0.539957	−	0.841693i	$-0.318441\pi$
$991$	2.55015	+	1.47233i	0.0810081	+	0.0467700i	−0.458949	+	0.888463i	$0.651774\pi$
$992$	−8.46758	+	6.17944i	−0.268846	+	0.196197i
$993$	−27.9551	+	21.8196i	−0.887128	+	0.692423i
$994$	−26.6284	−	14.3397i	−0.844601	−	0.454827i
$995$	−10.5079	+	18.2002i	−0.333123	+	0.576986i
$996$	4.96452	−	37.3130i	0.157307	−	1.18231i
$997$	30.7962			0.975325			0.487663	−	0.873032i	$-0.337850\pi$
$997$	30.7962			0.975325			0.487663	+	0.873032i	$0.337850\pi$
$998$	−21.1764	−	27.8745i	−0.670328	−	0.882350i
$999$	−31.7975	−	23.1714i	−1.00603	−	0.733111i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.o.a.95.10	✓	88
3.2	odd	2		756.2.o.a.179.35		88
4.3	odd	2	inner	252.2.o.a.95.25	yes	88
7.2	even	3		252.2.bb.a.23.40	yes	88
9.2	odd	6		252.2.bb.a.11.5	yes	88
9.7	even	3		756.2.bb.a.683.40		88
12.11	even	2		756.2.o.a.179.20		88
21.2	odd	6		756.2.bb.a.611.5		88
28.23	odd	6		252.2.bb.a.23.5	yes	88
36.7	odd	6		756.2.bb.a.683.5		88
36.11	even	6		252.2.bb.a.11.40	yes	88
63.2	odd	6	inner	252.2.o.a.191.25	yes	88
63.16	even	3		756.2.o.a.359.20		88
84.23	even	6		756.2.bb.a.611.40		88
252.79	odd	6		756.2.o.a.359.35		88
252.191	even	6	inner	252.2.o.a.191.10	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.o.a.95.10	✓	88	1.1	even	1	trivial
252.2.o.a.95.25	yes	88	4.3	odd	2	inner
252.2.o.a.191.10	yes	88	252.191	even	6	inner
252.2.o.a.191.25	yes	88	63.2	odd	6	inner
252.2.bb.a.11.5	yes	88	9.2	odd	6
252.2.bb.a.11.40	yes	88	36.11	even	6
252.2.bb.a.23.5	yes	88	28.23	odd	6
252.2.bb.a.23.40	yes	88	7.2	even	3
756.2.o.a.179.20		88	12.11	even	2
756.2.o.a.179.35		88	3.2	odd	2
756.2.o.a.359.20		88	63.16	even	3
756.2.o.a.359.35		88	252.79	odd	6
756.2.bb.a.611.5		88	21.2	odd	6
756.2.bb.a.611.40		88	84.23	even	6
756.2.bb.a.683.5		88	36.7	odd	6
756.2.bb.a.683.40		88	9.7	even	3

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:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.o (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.12610 + 0.855508i) q^{2} +(0.649599 - 1.60562i) q^{3} +(0.536211 - 1.92678i) q^{4} -1.62292i q^{5} +(0.642108 + 2.36383i) q^{6} +(1.09603 + 2.40805i) q^{7} +(1.04455 + 2.62848i) q^{8} +(-2.15604 - 2.08602i) q^{9} +O(q^{10})\)	\(q+(-1.12610 + 0.855508i) q^{2} +(0.649599 - 1.60562i) q^{3} +(0.536211 - 1.92678i) q^{4} -1.62292i q^{5} +(0.642108 + 2.36383i) q^{6} +(1.09603 + 2.40805i) q^{7} +(1.04455 + 2.62848i) q^{8} +(-2.15604 - 2.08602i) q^{9} +(1.38842 + 1.82757i) q^{10} +1.10792 q^{11} +(-2.74536 - 2.11259i) q^{12} +(2.95905 - 5.12523i) q^{13} +(-3.29435 - 1.77404i) q^{14} +(-2.60579 - 1.05425i) q^{15} +(-3.42496 - 2.06632i) q^{16} +(-6.47792 - 3.74003i) q^{17} +(4.21253 + 0.504560i) q^{18} +(3.12725 - 1.80552i) q^{19} +(-3.12701 - 0.870227i) q^{20} +(4.57840 - 0.195549i) q^{21} +(-1.24763 + 0.947835i) q^{22} -0.527196 q^{23} +(4.89889 + 0.0303120i) q^{24} +2.36614 q^{25} +(1.05248 + 8.30303i) q^{26} +(-4.74992 + 2.10671i) q^{27} +(5.22749 - 0.820593i) q^{28} +(-1.30418 + 0.752968i) q^{29} +(3.83630 - 1.04209i) q^{30} +(-1.60482 + 0.926542i) q^{31} +(5.62460 - 0.603190i) q^{32} +(0.719704 - 1.77890i) q^{33} +(10.4944 - 1.33026i) q^{34} +(3.90807 - 1.77877i) q^{35} +(-5.17539 + 3.03567i) q^{36} +(3.78593 + 6.55743i) q^{37} +(-1.97696 + 4.70858i) q^{38} +(-6.30698 - 8.08047i) q^{39} +(4.26581 - 1.69521i) q^{40} +(5.31155 + 3.06663i) q^{41} +(-4.98845 + 4.13707i) q^{42} +(-3.91977 + 2.26308i) q^{43} +(0.594079 - 2.13472i) q^{44} +(-3.38544 + 3.49908i) q^{45} +(0.593677 - 0.451021i) q^{46} +(1.98329 - 3.43516i) q^{47} +(-5.54258 + 4.15690i) q^{48} +(-4.59742 + 5.27861i) q^{49} +(-2.66451 + 2.02425i) q^{50} +(-10.2131 + 7.97157i) q^{51} +(-8.28851 - 8.44965i) q^{52} +(3.48372 + 2.01133i) q^{53} +(3.54659 - 6.43597i) q^{54} -1.79806i q^{55} +(-5.18466 + 5.39623i) q^{56} +(-0.867521 - 6.19404i) q^{57} +(0.824468 - 1.96366i) q^{58} +(5.60375 + 9.70599i) q^{59} +(-3.42855 + 4.45549i) q^{60} +(5.67256 - 9.82516i) q^{61} +(1.01452 - 2.41632i) q^{62} +(2.66015 - 7.47821i) q^{63} +(-5.81784 + 5.49115i) q^{64} +(-8.31783 - 4.80230i) q^{65} +(0.711404 + 2.61894i) q^{66} +(-11.8549 + 6.84441i) q^{67} +(-10.6797 + 10.4761i) q^{68} +(-0.342466 + 0.846478i) q^{69} +(-2.87913 + 5.34647i) q^{70} +8.08304 q^{71} +(3.23098 - 7.84607i) q^{72} +(-3.31356 + 5.73925i) q^{73} +(-9.87328 - 4.14543i) q^{74} +(1.53704 - 3.79912i) q^{75} +(-1.80197 - 6.99365i) q^{76} +(1.21432 + 2.66793i) q^{77} +(14.0152 + 3.70375i) q^{78} +(1.60759 + 0.928144i) q^{79} +(-3.35347 + 5.55842i) q^{80} +(0.297037 + 8.99510i) q^{81} +(-8.60487 + 1.09074i) q^{82} +(5.43313 + 9.41046i) q^{83} +(2.07821 - 8.92642i) q^{84} +(-6.06976 + 10.5131i) q^{85} +(2.47798 - 5.90185i) q^{86} +(0.361789 + 2.58315i) q^{87} +(1.15727 + 2.91215i) q^{88} +(1.25062 - 0.722046i) q^{89} +(0.818859 - 6.83659i) q^{90} +(15.5850 + 1.50812i) q^{91} +(-0.282689 + 1.01579i) q^{92} +(0.445188 + 3.17861i) q^{93} +(0.705421 + 5.56506i) q^{94} +(-2.93021 - 5.07527i) q^{95} +(2.68524 - 9.42282i) q^{96} +(1.18819 + 2.05801i) q^{97} +(0.661263 - 9.87738i) q^{98} +(-2.38872 - 2.31114i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9}+O(q^{10}) \) 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9	\( 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 3 q^{12} - 4 q^{13} - 3 q^{14} + q^{16} + 5 q^{18} - 6 q^{20} - 6 q^{22} - 14 q^{24} - 60 q^{25} - 6 q^{26} - 24 q^{29} + 22 q^{30} + 27 q^{32} - 26 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} + 8 q^{40} - 12 q^{41} - 13 q^{42} - 57 q^{44} + 42 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} + 14 q^{52} - 22 q^{54} - 66 q^{56} - 28 q^{57} - 10 q^{58} + 32 q^{60} + 2 q^{61} - 8 q^{64} + 18 q^{65} - 93 q^{66} - 6 q^{69} + 30 q^{70} + 53 q^{72} - 4 q^{73} - 6 q^{76} - 30 q^{77} + 55 q^{78} + 87 q^{80} + 26 q^{81} - 4 q^{82} - 7 q^{84} - 14 q^{85} - 18 q^{88} + 60 q^{89} + 41 q^{90} + 24 q^{92} - 30 q^{93} + 9 q^{94} - 20 q^{96} - 4 q^{97} - 57 q^{98}+O(q^{100}) \) 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 3 * q^12 - 4 * q^13 - 3 * q^14 + q^16 + 5 * q^18 - 6 * q^20 - 6 * q^22 - 14 * q^24 - 60 * q^25 - 6 * q^26 - 24 * q^29 + 22 * q^30 + 27 * q^32 - 26 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 + 8 * q^40 - 12 * q^41 - 13 * q^42 - 57 * q^44 + 42 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 + 14 * q^52 - 22 * q^54 - 66 * q^56 - 28 * q^57 - 10 * q^58 + 32 * q^60 + 2 * q^61 - 8 * q^64 + 18 * q^65 - 93 * q^66 - 6 * q^69 + 30 * q^70 + 53 * q^72 - 4 * q^73 - 6 * q^76 - 30 * q^77 + 55 * q^78 + 87 * q^80 + 26 * q^81 - 4 * q^82 - 7 * q^84 - 14 * q^85 - 18 * q^88 + 60 * q^89 + 41 * q^90 + 24 * q^92 - 30 * q^93 + 9 * q^94 - 20 * q^96 - 4 * q^97 - 57 * q^98

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