LMFDB - Embedded newform 370.2.q.e.103.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(97,370)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(370, base_ring=CyclotomicField(12))

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

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

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

chi := DirichletCharacter("370.97");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.q (of order $12$, degree $4$, 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:	$2.95446487479$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{12})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} - 4 x^{15} + 12 x^{14} - 48 x^{13} + 67 x^{12} - 24 x^{11} + 118 x^{10} - 176 x^{9} + 351 x^{8} + \cdots + 4 $ x^16 - 4x^15 + 12x^14 - 48x^13 + 67x^12 - 24x^11 + 118x^10 - 176x^9 + 351x^8 - 180x^7 + 358x^6 - 336x^5 + 390x^4 - 344x^3 + 164x^2 - 40*x + 4
Coefficient ring:	$\Z[a_1, \ldots, a_{7}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			103.2
Root			$0.792206 - 1.03242i$ of defining polynomial
Character	$\chi$	$=$	370.103
Dual form			370.2.q.e.97.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.500000 - 0.866025i) q^{2} +(-0.758819 - 2.83195i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(2.23553 + 0.0488750i) q^{5} +(-2.07313 + 2.07313i) q^{6} +(-0.644560 - 2.40553i) q^{7} +1.00000 q^{8} +(-4.84607 + 2.79788i) q^{9} +O(q^{10})$	\(q+(-0.500000 - 0.866025i) q^{2} +(-0.758819 - 2.83195i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(2.23553 + 0.0488750i) q^{5} +(-2.07313 + 2.07313i) q^{6} +(-0.644560 - 2.40553i) q^{7} +1.00000 q^{8} +(-4.84607 + 2.79788i) q^{9} +(-1.07544 - 1.96047i) q^{10} -2.91448i q^{11} +(2.83195 + 0.758819i) q^{12} +(1.47090 - 2.54768i) q^{13} +(-1.76097 + 1.76097i) q^{14} +(-1.55795 - 6.36801i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-3.89735 + 2.25013i) q^{17} +(4.84607 + 2.79788i) q^{18} +(-3.54266 + 0.949252i) q^{19} +(-1.16009 + 1.91159i) q^{20} +(-6.32324 + 3.65072i) q^{21} +(-2.52402 + 1.45724i) q^{22} +6.99801 q^{23} +(-0.758819 - 2.83195i) q^{24} +(4.99522 + 0.218523i) q^{25} -2.94180 q^{26} +(5.38134 + 5.38134i) q^{27} +(2.40553 + 0.644560i) q^{28} +(-3.87126 + 3.87126i) q^{29} +(-4.73588 + 4.53323i) q^{30} +(3.48791 + 3.48791i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(-8.25367 + 2.21156i) q^{33} +(3.89735 + 2.25013i) q^{34} +(-1.32336 - 5.40914i) q^{35} -5.59575i q^{36} +(2.51884 + 5.53674i) q^{37} +(2.59340 + 2.59340i) q^{38} +(-8.33105 - 2.23230i) q^{39} +(2.23553 + 0.0488750i) q^{40} +(-4.86771 - 2.81037i) q^{41} +(6.32324 + 3.65072i) q^{42} -9.87439 q^{43} +(2.52402 + 1.45724i) q^{44} +(-10.9703 + 6.01790i) q^{45} +(-3.49901 - 6.06046i) q^{46} +(6.90478 - 6.90478i) q^{47} +(-2.07313 + 2.07313i) q^{48} +(0.691065 - 0.398986i) q^{49} +(-2.30836 - 4.43525i) q^{50} +(9.32965 + 9.32965i) q^{51} +(1.47090 + 2.54768i) q^{52} +(2.56216 - 9.56210i) q^{53} +(1.96971 - 7.35105i) q^{54} +(0.142445 - 6.51542i) q^{55} +(-0.644560 - 2.40553i) q^{56} +(5.37647 + 9.31232i) q^{57} +(5.28823 + 1.41698i) q^{58} +(-1.43261 + 5.34659i) q^{59} +(6.29384 + 1.83478i) q^{60} +(4.95025 - 1.32641i) q^{61} +(1.27666 - 4.76457i) q^{62} +(9.85395 + 9.85395i) q^{63} +1.00000 q^{64} +(3.41277 - 5.62353i) q^{65} +(6.04211 + 6.04211i) q^{66} +(-3.36263 + 0.901014i) q^{67} -4.50027i q^{68} +(-5.31023 - 19.8180i) q^{69} +(-4.02277 + 3.85064i) q^{70} +(8.12975 - 14.0811i) q^{71} +(-4.84607 + 2.79788i) q^{72} +(1.91840 - 1.91840i) q^{73} +(3.53553 - 4.94975i) q^{74} +(-3.17162 - 14.3120i) q^{75} +(0.949252 - 3.54266i) q^{76} +(-7.01087 + 1.87856i) q^{77} +(2.23230 + 8.33105i) q^{78} +(4.93645 - 1.32272i) q^{79} +(-1.07544 - 1.96047i) q^{80} +(2.76260 - 4.78497i) q^{81} +5.62075i q^{82} +(2.48451 - 9.27233i) q^{83} -7.30145i q^{84} +(-8.82263 + 4.83977i) q^{85} +(4.93719 + 8.55147i) q^{86} +(13.9008 + 8.02562i) q^{87} -2.91448i q^{88} +(5.84994 + 1.56749i) q^{89} +(10.6968 + 6.49160i) q^{90} +(-7.07660 - 1.89617i) q^{91} +(-3.49901 + 6.06046i) q^{92} +(7.23090 - 12.5243i) q^{93} +(-9.43211 - 2.52733i) q^{94} +(-7.96612 + 1.94894i) q^{95} +(2.83195 + 0.758819i) q^{96} +1.22093i q^{97} +(-0.691065 - 0.398986i) q^{98} +(8.15436 + 14.1238i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q - 8 q^{2} - 8 q^{3} - 8 q^{4} - 4 q^{5} - 8 q^{6} + 16 q^{8} - 24 q^{9}+O(q^{10}) $ 16 * q - 8 * q^2 - 8 * q^3 - 8 * q^4 - 4 * q^5 - 8 * q^6 + 16 * q^8 - 24 * q^9	$ 16 q - 8 q^{2} - 8 q^{3} - 8 q^{4} - 4 q^{5} - 8 q^{6} + 16 q^{8} - 24 q^{9} - 4 q^{10} + 16 q^{12} - 4 q^{13} + 8 q^{15} - 8 q^{16} + 24 q^{18} - 24 q^{19} + 8 q^{20} - 12 q^{21} - 8 q^{23} - 8 q^{24} + 32 q^{25} + 8 q^{26} + 16 q^{27} + 16 q^{29} - 4 q^{30} + 24 q^{31} - 8 q^{32} + 12 q^{33} - 20 q^{35} - 4 q^{40} - 36 q^{41} + 12 q^{42} - 16 q^{43} + 4 q^{45} + 4 q^{46} + 32 q^{47} - 8 q^{48} + 24 q^{49} - 16 q^{50} - 16 q^{51} - 4 q^{52} - 48 q^{53} - 8 q^{54} - 24 q^{55} + 20 q^{57} - 8 q^{58} - 8 q^{59} - 4 q^{60} + 8 q^{61} - 12 q^{62} + 16 q^{63} + 16 q^{64} + 24 q^{65} - 24 q^{66} - 8 q^{67} - 8 q^{69} + 28 q^{70} + 4 q^{71} - 24 q^{72} + 48 q^{73} - 36 q^{75} + 24 q^{76} - 60 q^{77} + 20 q^{79} - 4 q^{80} + 16 q^{81} + 24 q^{83} + 8 q^{85} + 8 q^{86} + 12 q^{87} - 8 q^{89} - 8 q^{90} - 8 q^{91} + 4 q^{92} + 36 q^{93} - 28 q^{94} + 28 q^{95} + 16 q^{96} - 24 q^{98} + 8 q^{99}+O(q^{100}) $ 16 * q - 8 * q^2 - 8 * q^3 - 8 * q^4 - 4 * q^5 - 8 * q^6 + 16 * q^8 - 24 * q^9 - 4 * q^10 + 16 * q^12 - 4 * q^13 + 8 * q^15 - 8 * q^16 + 24 * q^18 - 24 * q^19 + 8 * q^20 - 12 * q^21 - 8 * q^23 - 8 * q^24 + 32 * q^25 + 8 * q^26 + 16 * q^27 + 16 * q^29 - 4 * q^30 + 24 * q^31 - 8 * q^32 + 12 * q^33 - 20 * q^35 - 4 * q^40 - 36 * q^41 + 12 * q^42 - 16 * q^43 + 4 * q^45 + 4 * q^46 + 32 * q^47 - 8 * q^48 + 24 * q^49 - 16 * q^50 - 16 * q^51 - 4 * q^52 - 48 * q^53 - 8 * q^54 - 24 * q^55 + 20 * q^57 - 8 * q^58 - 8 * q^59 - 4 * q^60 + 8 * q^61 - 12 * q^62 + 16 * q^63 + 16 * q^64 + 24 * q^65 - 24 * q^66 - 8 * q^67 - 8 * q^69 + 28 * q^70 + 4 * q^71 - 24 * q^72 + 48 * q^73 - 36 * q^75 + 24 * q^76 - 60 * q^77 + 20 * q^79 - 4 * q^80 + 16 * q^81 + 24 * q^83 + 8 * q^85 + 8 * q^86 + 12 * q^87 - 8 * q^89 - 8 * q^90 - 8 * q^91 + 4 * q^92 + 36 * q^93 - 28 * q^94 + 28 * q^95 + 16 * q^96 - 24 * q^98 + 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{3}{4}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.500000	−	0.866025i	−0.353553	−	0.612372i
$2$	−0.500000	−	0.866025i	−0.353553	−	0.612372i
$3$	−0.758819	−	2.83195i	−0.438104	−	1.63503i	−0.733526	−	0.679661i	$-0.762127\pi$
$3$	−0.758819	−	2.83195i	−0.438104	−	1.63503i	0.295422	−	0.955367i	$-0.404540\pi$
$4$	−0.500000	+	0.866025i	−0.250000	+	0.433013i
$5$	2.23553	+	0.0488750i	0.999761	+	0.0218576i
$5$	2.23553	+	0.0488750i	0.999761	+	0.0218576i
$6$	−2.07313	+	2.07313i	−0.846353	+	0.846353i
$7$	−0.644560	−	2.40553i	−0.243621	−	0.909205i	−0.974072	−	0.226240i	$-0.927357\pi$
$7$	−0.644560	−	2.40553i	−0.243621	−	0.909205i	0.730451	−	0.682965i	$-0.239310\pi$
$8$	1.00000			0.353553
$9$	−4.84607	+	2.79788i	−1.61536	+	0.932626i
$10$	−1.07544	−	1.96047i	−0.340084	−	0.619954i
$11$		−	2.91448i		−	0.878750i	−0.898304	−	0.439375i	$-0.855200\pi$
$11$		−	2.91448i		−	0.878750i	0.898304	−	0.439375i	$-0.144800\pi$
$12$	2.83195	+	0.758819i	0.817514	+	0.219052i
$13$	1.47090	−	2.54768i	0.407955	−	0.706599i	−0.586706	−	0.809800i	$-0.699575\pi$
$13$	1.47090	−	2.54768i	0.407955	−	0.706599i	0.994660	+	0.103202i	$0.0329087\pi$
$14$	−1.76097	+	1.76097i	−0.470639	+	0.470639i
$15$	−1.55795	−	6.36801i	−0.402262	−	1.64421i
$16$	−0.500000	−	0.866025i	−0.125000	−	0.216506i
$17$	−3.89735	+	2.25013i	−0.945246	+	0.545738i	−0.891601	−	0.452822i	$-0.850417\pi$
$17$	−3.89735	+	2.25013i	−0.945246	+	0.545738i	−0.0536448	+	0.998560i	$0.517084\pi$
$18$	4.84607	+	2.79788i	1.14223	+	0.659466i
$19$	−3.54266	+	0.949252i	−0.812741	+	0.217773i	−0.641170	−	0.767399i	$-0.721551\pi$
$19$	−3.54266	+	0.949252i	−0.812741	+	0.217773i	−0.171571	+	0.985172i	$0.554884\pi$
$20$	−1.16009	+	1.91159i	−0.259405	+	0.427445i
$21$	−6.32324	+	3.65072i	−1.37984	+	0.796653i
$22$	−2.52402	+	1.45724i	−0.538122	+	0.310685i
$23$	6.99801			1.45919			0.729593	−	0.683881i	$-0.239709\pi$
$23$	6.99801			1.45919			0.729593	+	0.683881i	$0.239709\pi$
$24$	−0.758819	−	2.83195i	−0.154893	−	0.578070i
$25$	4.99522	+	0.218523i	0.999044	+	0.0437047i
$26$	−2.94180			−0.576935
$27$	5.38134	+	5.38134i	1.03564	+	1.03564i
$28$	2.40553	+	0.644560i	0.454602	+	0.121810i
$29$	−3.87126	+	3.87126i	−0.718874	+	0.718874i	−0.968375	−	0.249501i	$-0.919734\pi$
$29$	−3.87126	+	3.87126i	−0.718874	+	0.718874i	0.249501	+	0.968375i	$0.419734\pi$
$30$	−4.73588	+	4.53323i	−0.864650	+	0.827651i
$31$	3.48791	+	3.48791i	0.626447	+	0.626447i	0.947172	−	0.320725i	$-0.103927\pi$
$31$	3.48791	+	3.48791i	0.626447	+	0.626447i	−0.320725	+	0.947172i	$0.603927\pi$
$32$	−0.500000	+	0.866025i	−0.0883883	+	0.153093i
$33$	−8.25367	+	2.21156i	−1.43678	+	0.384984i
$34$	3.89735	+	2.25013i	0.668390	+	0.385895i
$35$	−1.32336	−	5.40914i	−0.223689	−	0.914312i
$36$		−	5.59575i		−	0.932626i
$37$	2.51884	+	5.53674i	0.414095	+	0.910234i
$37$	2.51884	+	5.53674i	0.414095	+	0.910234i
$38$	2.59340	+	2.59340i	0.420706	+	0.420706i
$39$	−8.33105	−	2.23230i	−1.33404	−	0.357454i
$40$	2.23553	+	0.0488750i	0.353469	+	0.00772781i
$41$	−4.86771	−	2.81037i	−0.760209	−	0.438907i	0.0691620	−	0.997605i	$-0.477967\pi$
$41$	−4.86771	−	2.81037i	−0.760209	−	0.438907i	−0.829371	+	0.558699i	$0.811301\pi$
$42$	6.32324	+	3.65072i	0.975697	+	0.563319i
$43$	−9.87439			−1.50583			−0.752915	−	0.658118i	$-0.771353\pi$
$43$	−9.87439			−1.50583			−0.752915	+	0.658118i	$0.771353\pi$
$44$	2.52402	+	1.45724i	0.380510	+	0.219687i
$45$	−10.9703	+	6.01790i	−1.63535	+	0.897095i
$46$	−3.49901	−	6.06046i	−0.515900	−	0.893566i
$47$	6.90478	−	6.90478i	1.00717	−	1.00717i	0.00719165	−	0.999974i	$-0.497711\pi$
$47$	6.90478	−	6.90478i	1.00717	−	1.00717i	0.999974	−	0.00719165i	$-0.00228919\pi$
$48$	−2.07313	+	2.07313i	−0.299231	+	0.299231i
$49$	0.691065	−	0.398986i	0.0987235	−	0.0569981i
$50$	−2.30836	−	4.43525i	−0.326452	−	0.627239i
$51$	9.32965	+	9.32965i	1.30641	+	1.30641i
$52$	1.47090	+	2.54768i	0.203977	+	0.353299i
$53$	2.56216	−	9.56210i	0.351939	−	1.31345i	−0.532354	−	0.846522i	$-0.678692\pi$
$53$	2.56216	−	9.56210i	0.351939	−	1.31345i	0.884293	−	0.466933i	$-0.154641\pi$
$54$	1.96971	−	7.35105i	0.268043	−	1.00035i
$55$	0.142445	−	6.51542i	0.0192073	−	0.878540i
$56$	−0.644560	−	2.40553i	−0.0861329	−	0.321452i
$57$	5.37647	+	9.31232i	0.712131	+	1.23345i
$58$	5.28823	+	1.41698i	0.694379	+	0.186058i
$59$	−1.43261	+	5.34659i	−0.186511	+	0.696067i	0.807792	+	0.589468i	$0.200663\pi$
$59$	−1.43261	+	5.34659i	−0.186511	+	0.696067i	−0.994302	+	0.106599i	$0.966004\pi$
$60$	6.29384	+	1.83478i	0.812531	+	0.236869i
$61$	4.95025	−	1.32641i	0.633814	−	0.169830i	0.0724143	−	0.997375i	$-0.476930\pi$
$61$	4.95025	−	1.32641i	0.633814	−	0.169830i	0.561400	+	0.827545i	$0.310263\pi$
$62$	1.27666	−	4.76457i	0.162136	−	0.605102i
$63$	9.85395	+	9.85395i	1.24148	+	1.24148i
$64$	1.00000			0.125000
$65$	3.41277	−	5.62353i	0.423302	−	0.697513i
$66$	6.04211	+	6.04211i	0.743732	+	0.743732i
$67$	−3.36263	+	0.901014i	−0.410810	+	0.110076i	−0.458305	−	0.888795i	$-0.651543\pi$
$67$	−3.36263	+	0.901014i	−0.410810	+	0.110076i	0.0474942	+	0.998872i	$0.484876\pi$
$68$		−	4.50027i		−	0.545738i
$69$	−5.31023	−	19.8180i	−0.639276	−	2.38581i
$70$	−4.02277	+	3.85064i	−0.480813	+	0.460239i
$71$	8.12975	−	14.0811i	0.964824	−	1.67112i	0.254737	−	0.967010i	$-0.418011\pi$
$71$	8.12975	−	14.0811i	0.964824	−	1.67112i	0.710087	−	0.704114i	$-0.248656\pi$
$72$	−4.84607	+	2.79788i	−0.571114	+	0.329733i
$73$	1.91840	−	1.91840i	0.224532	−	0.224532i	−0.585872	−	0.810404i	$-0.699248\pi$
$73$	1.91840	−	1.91840i	0.224532	−	0.224532i	0.810404	+	0.585872i	$0.199248\pi$
$74$	3.53553	−	4.94975i	0.410997	−	0.575396i
$75$	−3.17162	−	14.3120i	−0.366227	−	1.65261i
$76$	0.949252	−	3.54266i	0.108887	−	0.406370i
$77$	−7.01087	+	1.87856i	−0.798963	+	0.214082i
$78$	2.23230	+	8.33105i	0.252758	+	0.943305i
$79$	4.93645	−	1.32272i	0.555394	−	0.148817i	0.0298047	−	0.999556i	$-0.490511\pi$
$79$	4.93645	−	1.32272i	0.555394	−	0.148817i	0.525590	+	0.850738i	$0.323845\pi$
$80$	−1.07544	−	1.96047i	−0.120238	−	0.219187i
$81$	2.76260	−	4.78497i	0.306956	−	0.531663i
$82$			5.62075i			0.620708i
$83$	2.48451	−	9.27233i	0.272711	−	1.01777i	−0.684649	−	0.728873i	$-0.740045\pi$
$83$	2.48451	−	9.27233i	0.272711	−	1.01777i	0.957360	−	0.288897i	$-0.0932887\pi$
$84$		−	7.30145i		−	0.796653i
$85$	−8.82263	+	4.83977i	−0.956948	+	0.524947i
$86$	4.93719	+	8.55147i	0.532391	+	0.922129i
$87$	13.9008	+	8.02562i	1.49032	+	0.860437i
$88$		−	2.91448i		−	0.310685i
$89$	5.84994	+	1.56749i	0.620092	+	0.166153i	0.555170	−	0.831737i	$-0.312653\pi$
$89$	5.84994	+	1.56749i	0.620092	+	0.166153i	0.0649224	+	0.997890i	$0.479320\pi$
$90$	10.6968	+	6.49160i	1.12754	+	0.684275i
$91$	−7.07660	−	1.89617i	−0.741829	−	0.198772i
$92$	−3.49901	+	6.06046i	−0.364797	+	0.631846i
$93$	7.23090	−	12.5243i	0.749809	−	1.29871i
$94$	−9.43211	−	2.52733i	−0.972847	−	0.260674i
$95$	−7.96612	+	1.94894i	−0.817307	+	0.199957i
$96$	2.83195	+	0.758819i	0.289035	+	0.0774466i
$97$			1.22093i			0.123966i	0.998077	+	0.0619832i	$0.0197425\pi$
$97$			1.22093i			0.123966i	−0.998077	+	0.0619832i	$0.980257\pi$
$98$	−0.691065	−	0.398986i	−0.0698081	−	0.0403037i
$99$	8.15436	+	14.1238i	0.819544	+	1.41949i
$100$	−2.68686	+	4.21673i	−0.268686	+	0.421673i
$101$			9.88584i			0.983678i	0.870686	+	0.491839i	$0.163675\pi$
$101$			9.88584i			0.983678i	−0.870686	+	0.491839i	$0.836325\pi$
$102$	3.41489	−	12.7445i	0.338124	−	1.26190i
$103$			4.75115i			0.468145i	0.972219	+	0.234072i	$0.0752052\pi$
$103$			4.75115i			0.468145i	−0.972219	+	0.234072i	$0.924795\pi$
$104$	1.47090	−	2.54768i	0.144234	−	0.249820i
$105$	−14.3142	+	7.85227i	−1.39693	+	0.766303i
$106$	−9.56210	+	2.56216i	−0.928753	+	0.248859i
$107$	−2.54512	−	9.49852i	−0.246046	−	0.918256i	−0.972855	−	0.231416i	$-0.925664\pi$
$107$	−2.54512	−	9.49852i	−0.246046	−	0.918256i	0.726809	−	0.686840i	$-0.241003\pi$
$108$	−7.35105	+	1.96971i	−0.707355	+	0.189535i
$109$	−1.92197	+	7.17290i	−0.184092	+	0.687039i	0.810732	+	0.585418i	$0.199070\pi$
$109$	−1.92197	+	7.17290i	−0.184092	+	0.687039i	−0.994823	+	0.101621i	$0.967597\pi$
$110$	−5.71375	+	3.13435i	−0.544784	+	0.298849i
$111$	13.7684	−	11.3346i	1.30684	−	1.07583i
$112$	−1.76097	+	1.76097i	−0.166396	+	0.166396i
$113$	1.98204	−	1.14433i	0.186454	−	0.107649i	−0.403867	−	0.914818i	$-0.632334\pi$
$113$	1.98204	−	1.14433i	0.186454	−	0.107649i	0.590322	+	0.807168i	$0.299001\pi$
$114$	5.37647	−	9.31232i	0.503552	−	0.872178i
$115$	15.6443	+	0.342028i	1.45884	+	0.0318943i
$116$	−1.41698	−	5.28823i	−0.131563	−	0.491000i
$117$			16.4616i			1.52188i
$118$	5.34659	−	1.43261i	0.492194	−	0.131883i
$119$	7.92484	+	7.92484i	0.726469	+	0.726469i
$120$	−1.55795	−	6.36801i	−0.142221	−	0.581317i
$121$	2.50579			0.227799
$122$	−3.62383	−	3.62383i	−0.328086	−	0.328086i
$123$	−4.26513	+	15.9177i	−0.384574	+	1.43525i
$124$	−4.76457	+	1.27666i	−0.427871	+	0.114648i
$125$	11.1563	+	0.732658i	0.997851	+	0.0655309i
$126$	3.60680	−	13.4607i	0.321319	−	1.19918i
$127$	−17.5434	−	4.70075i	−1.55673	−	0.417124i	−0.625101	−	0.780544i	$-0.714942\pi$
$127$	−17.5434	−	4.70075i	−1.55673	−	0.417124i	−0.931625	+	0.363420i	$0.881609\pi$
$128$	−0.500000	−	0.866025i	−0.0441942	−	0.0765466i
$129$	7.49287	+	27.9638i	0.659711	+	2.46207i
$130$	−6.57650	−	0.143781i	−0.576797	−	0.0126104i
$131$	−1.15466	+	4.30925i	−0.100883	+	0.376501i	−0.997846	−	0.0656055i	$-0.979102\pi$
$131$	−1.15466	+	4.30925i	−0.100883	+	0.376501i	0.896962	+	0.442107i	$0.145769\pi$
$132$	2.21156	−	8.25367i	0.192492	−	0.718390i
$133$	4.56690	+	7.91011i	0.396001	+	0.685894i
$134$	2.46161	+	2.46161i	0.212651	+	0.212651i
$135$	11.7672	+	12.2932i	1.01276	+	1.05803i
$136$	−3.89735	+	2.25013i	−0.334195	+	0.192947i
$137$	14.0474	−	14.0474i	1.20015	−	1.20015i	0.226025	−	0.974121i	$-0.427427\pi$
$137$	14.0474	−	14.0474i	1.20015	−	1.20015i	0.974121	−	0.226025i	$-0.0725731\pi$
$138$	−14.5078	+	14.5078i	−1.23499	+	1.23499i
$139$	4.10679	+	7.11316i	0.348333	+	0.603331i	0.985954	−	0.167020i	$-0.0534144\pi$
$139$	4.10679	+	7.11316i	0.348333	+	0.603331i	−0.637620	+	0.770351i	$0.720081\pi$
$140$	5.34614	+	1.55850i	0.451831	+	0.131718i
$141$	−24.7935	−	14.3145i	−2.08799	−	1.20550i
$142$	−16.2595			−1.36447
$143$	−7.42516	−	4.28692i	−0.620923	−	0.358490i
$144$	4.84607	+	2.79788i	0.403839	+	0.233156i
$145$	−8.84353	+	8.46512i	−0.734415	+	0.702990i
$146$	−2.62059	−	0.702184i	−0.216881	−	0.0581132i
$147$	−1.65430	−	1.65430i	−0.136445	−	0.136445i
$148$	−6.05437	−	0.586988i	−0.497666	−	0.0482502i
$149$		−	23.1991i		−	1.90054i	−0.311427	−	0.950270i	$-0.600807\pi$
$149$		−	23.1991i		−	1.90054i	0.311427	−	0.950270i	$-0.399193\pi$
$150$	−10.8088	+	9.90273i	−0.882534	+	0.808554i
$151$	7.53024	+	4.34759i	0.612802	+	0.353801i	0.774061	−	0.633111i	$-0.218222\pi$
$151$	7.53024	+	4.34759i	0.612802	+	0.353801i	−0.161259	+	0.986912i	$0.551556\pi$
$152$	−3.54266	+	0.949252i	−0.287347	+	0.0769945i
$153$	12.5912	−	21.8086i	1.01794	−	1.76312i
$154$	5.13232	+	5.13232i	0.413574	+	0.413574i
$155$	7.62687	+	7.96781i	0.612605	+	0.639990i
$156$	6.09875	−	6.09875i	0.488291	−	0.488291i
$157$	1.53697	+	0.411829i	0.122663	+	0.0328675i	0.319628	−	0.947543i	$-0.396442\pi$
$157$	1.53697	+	0.411829i	0.122663	+	0.0328675i	−0.196965	+	0.980410i	$0.563109\pi$
$158$	−3.61373	−	3.61373i	−0.287493	−	0.287493i
$159$	−29.0236			−2.30172
$160$	−1.16009	+	1.91159i	−0.0917135	+	0.151125i
$161$	−4.51064	−	16.8339i	−0.355488	−	1.32670i
$162$	−5.52520			−0.434101
$163$	−17.9598	+	10.3691i	−1.40672	+	0.812172i	−0.995071	−	0.0991683i	$-0.968382\pi$
$163$	−17.9598	+	10.3691i	−1.40672	+	0.812172i	−0.411653	+	0.911341i	$0.635048\pi$
$164$	4.86771	−	2.81037i	0.380104	−	0.219453i
$165$	−18.5595	+	4.54063i	−1.44485	+	0.353488i
$166$	−9.27233	+	2.48451i	−0.719672	+	0.192836i
$167$	9.69438	+	5.59705i	0.750174	+	0.433113i	0.825757	−	0.564027i	$-0.190748\pi$
$167$	9.69438	+	5.59705i	0.750174	+	0.433113i	−0.0755830	+	0.997140i	$0.524082\pi$
$168$	−6.32324	+	3.65072i	−0.487848	+	0.281659i
$169$	2.17289	+	3.76356i	0.167146	+	0.289505i
$170$	8.60268	+	5.22073i	0.659795	+	0.400412i
$171$	14.5120	−	14.5120i	1.10976	−	1.10976i
$172$	4.93719	−	8.55147i	0.376457	−	0.652043i
$173$	19.6786	+	5.27286i	1.49613	+	0.400888i	0.911803	−	0.410627i	$-0.134690\pi$
$173$	19.6786	+	5.27286i	1.49613	+	0.400888i	0.584331	+	0.811515i	$0.301357\pi$
$174$		−	16.0512i		−	1.21684i
$175$	−2.69405	−	12.1570i	−0.203651	−	0.918983i
$176$	−2.52402	+	1.45724i	−0.190255	+	0.109844i
$177$	16.2284			1.21980
$178$	−1.56749	−	5.84994i	−0.117488	−	0.438471i
$179$	10.8572	−	10.8572i	0.811505	−	0.811505i	−0.173355	−	0.984859i	$-0.555461\pi$
$179$	10.8572	−	10.8572i	0.811505	−	0.811505i	0.984859	+	0.173355i	$0.0554607\pi$
$180$	0.273492	−	12.5095i	0.0203849	−	0.932403i
$181$	−3.37639	+	5.84808i	−0.250965	+	0.434684i	−0.963792	−	0.266656i	$-0.914081\pi$
$181$	−3.37639	+	5.84808i	−0.250965	+	0.434684i	0.712827	+	0.701340i	$0.247415\pi$
$182$	1.89617	+	7.07660i	0.140553	+	0.524552i
$183$	−7.51268	−	13.0123i	−0.555354	−	0.961901i
$184$	6.99801			0.515900
$185$	5.36034	+	12.5007i	0.394100	+	0.919067i
$186$	−14.4618			−1.06039
$187$	6.55798	+	11.3588i	0.479567	+	0.830634i
$188$	2.52733	+	9.43211i	0.184324	+	0.687907i
$189$	9.47638	−	16.4136i	0.689305	−	1.19391i
$190$	5.67089	+	5.92439i	0.411410	+	0.429801i
$191$	−17.7357	+	17.7357i	−1.28331	+	1.28331i	−0.344541	+	0.938771i	$0.611965\pi$
$191$	−17.7357	+	17.7357i	−1.28331	+	1.28331i	−0.938771	+	0.344541i	$0.888035\pi$
$192$	−0.758819	−	2.83195i	−0.0547630	−	0.204378i
$193$	8.93440			0.643112			0.321556	−	0.946890i	$-0.395794\pi$
$193$	8.93440			0.643112			0.321556	+	0.946890i	$0.395794\pi$
$194$	1.05735	−	0.610464i	0.0759136	−	0.0438287i
$195$	−18.5152	−	5.39756i	−1.32590	−	0.386527i
$196$			0.797973i			0.0569981i
$197$	−12.0647	−	3.23272i	−0.859572	−	0.230321i	−0.197999	−	0.980202i	$-0.563444\pi$
$197$	−12.0647	−	3.23272i	−0.859572	−	0.230321i	−0.661573	+	0.749881i	$0.730111\pi$
$198$	8.15436	−	14.1238i	0.579505	−	1.00373i
$199$	−1.83062	+	1.83062i	−0.129769	+	0.129769i	−0.769008	−	0.639239i	$-0.779250\pi$
$199$	−1.83062	+	1.83062i	−0.129769	+	0.129769i	0.639239	+	0.769008i	$0.279250\pi$
$200$	4.99522	+	0.218523i	0.353216	+	0.0154519i
$201$	5.10325	+	8.83909i	0.359956	+	0.623462i
$202$	8.56139	−	4.94292i	0.602377	−	0.347783i
$203$	11.8077	+	6.81716i	0.828736	+	0.478471i
$204$	−12.7445	+	3.41489i	−0.892296	+	0.239090i
$205$	−10.7446	−	6.52060i	−0.750434	−	0.455418i
$206$	4.11461	−	2.37557i	0.286679	−	0.165514i
$207$	−33.9128	+	19.5796i	−2.35710	+	1.36087i
$208$	−2.94180			−0.203977
$209$	2.76658	+	10.3250i	0.191368	+	0.714196i
$210$	13.9574	+	8.47036i	0.963151	+	0.584510i
$211$	21.0104			1.44641			0.723207	−	0.690632i	$-0.242667\pi$
$211$	21.0104			1.44641			0.723207	+	0.690632i	$0.242667\pi$
$212$	6.99994	+	6.99994i	0.480758	+	0.480758i
$213$	−46.0461	−	12.3380i	−3.15503	−	0.845387i
$214$	−6.95340	+	6.95340i	−0.475324	+	0.475324i
$215$	−22.0745	−	0.482610i	−1.50547	−	0.0329138i
$216$	5.38134	+	5.38134i	0.366154	+	0.366154i
$217$	6.14210	−	10.6384i	0.416953	−	0.722184i
$218$	7.17290	−	1.92197i	0.485810	−	0.130172i
$219$	−6.88854	−	3.97710i	−0.465485	−	0.268748i
$220$	5.57130	+	3.38107i	0.375617	+	0.227952i
$221$			13.2389i			0.890546i
$222$	−16.7003	−	6.25650i	−1.12085	−	0.419909i
$223$	3.66119	+	3.66119i	0.245171	+	0.245171i	0.818985	−	0.573814i	$-0.194537\pi$
$223$	3.66119	+	3.66119i	0.245171	+	0.245171i	−0.573814	+	0.818985i	$0.694537\pi$
$224$	2.40553	+	0.644560i	0.160726	+	0.0430664i
$225$	−24.8186	+	12.9170i	−1.65457	+	0.861136i
$226$	−1.98204	−	1.14433i	−0.131843	−	0.0761197i
$227$	−6.46217	−	3.73094i	−0.428910	−	0.247631i	0.269972	−	0.962868i	$-0.412985\pi$
$227$	−6.46217	−	3.73094i	−0.428910	−	0.247631i	−0.698882	+	0.715237i	$0.746319\pi$
$228$	−10.7529			−0.712131
$229$	−10.0881	−	5.82435i	−0.666638	−	0.384884i	0.128163	−	0.991753i	$-0.459092\pi$
$229$	−10.0881	−	5.82435i	−0.666638	−	0.384884i	−0.794802	+	0.606869i	$0.792425\pi$
$230$	−7.52594	−	13.7194i	−0.496246	−	0.904628i
$231$	10.6400	+	18.4290i	0.700058	+	1.21254i
$232$	−3.87126	+	3.87126i	−0.254160	+	0.254160i
$233$	−13.6527	+	13.6527i	−0.894416	+	0.894416i	−0.994935	−	0.100519i	$-0.967950\pi$
$233$	−13.6527	+	13.6527i	−0.894416	+	0.894416i	0.100519	+	0.994935i	$0.467950\pi$
$234$	14.2562	−	8.23081i	0.931955	−	0.538065i
$235$	15.7733	−	15.0984i	1.02894	−	0.984911i
$236$	−3.91398	−	3.91398i	−0.254778	−	0.254778i
$237$	−7.49175	−	12.9761i	−0.486641	−	0.842888i
$238$	2.90069	−	10.8255i	0.188024	−	0.701715i
$239$	2.66262	−	9.93702i	0.172230	−	0.642772i	−0.824776	−	0.565459i	$-0.808699\pi$
$239$	2.66262	−	9.93702i	0.172230	−	0.642772i	0.997007	−	0.0773135i	$-0.0246342\pi$
$240$	−4.73588	+	4.53323i	−0.305700	+	0.292619i
$241$	5.87095	+	21.9107i	0.378181	+	1.41139i	0.848641	+	0.528969i	$0.177421\pi$
$241$	5.87095	+	21.9107i	0.378181	+	1.41139i	−0.470460	+	0.882421i	$0.655912\pi$
$242$	−1.25290	−	2.17008i	−0.0805392	−	0.139498i
$243$	6.40605	+	1.71649i	0.410948	+	0.110113i
$244$	−1.32641	+	4.95025i	−0.0849150	+	0.316907i
$245$	1.56440	−	0.858172i	0.0999458	−	0.0548266i
$246$	15.9177	−	4.26513i	1.01487	−	0.271935i
$247$	−2.79251	+	10.4218i	−0.177683	+	0.663123i
$248$	3.48791	+	3.48791i	0.221483	+	0.221483i
$249$	−28.1441			−1.78356
$250$	−4.94365	−	10.0280i	−0.312664	−	0.634225i
$251$	−18.0965	−	18.0965i	−1.14224	−	1.14224i	−0.988039	−	0.154202i	$-0.950719\pi$
$251$	−18.0965	−	18.0965i	−1.14224	−	1.14224i	−0.154202	−	0.988039i	$-0.549281\pi$
$252$	−13.4607	+	3.60680i	−0.847947	+	0.227207i
$253$		−	20.3956i		−	1.28226i
$254$	4.70075	+	17.5434i	0.294951	+	1.10077i
$255$	20.4008	+	21.3127i	1.27755	+	1.33466i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	2.48829	−	1.43662i	0.155215	−	0.0896136i	−0.420381	−	0.907348i	$-0.638103\pi$
$257$	2.48829	−	1.43662i	0.155215	−	0.0896136i	0.575596	+	0.817734i	$0.304770\pi$
$258$	20.4709	−	20.4709i	1.27446	−	1.27446i
$259$	11.6952	−	9.62790i	0.726707	−	0.598249i
$260$	3.16373	+	5.76731i	0.196206	+	0.357673i
$261$	7.92906	−	29.5917i	0.490796	−	1.83168i
$262$	4.30925	−	1.15466i	0.266227	−	0.0713352i
$263$	6.34852	+	23.6930i	0.391467	+	1.46097i	0.827716	+	0.561147i	$0.189640\pi$
$263$	6.34852	+	23.6930i	0.391467	+	1.46097i	−0.436249	+	0.899826i	$0.643693\pi$
$264$	−8.25367	+	2.21156i	−0.507978	+	0.136112i
$265$	6.19513	−	21.2512i	0.380564	−	1.30545i
$266$	4.56690	−	7.91011i	0.280015	−	0.485000i
$267$		−	17.7562i		−	1.08666i
$268$	0.901014	−	3.36263i	0.0550382	−	0.205405i
$269$			29.7099i			1.81145i	0.423871	+	0.905723i	$0.360671\pi$
$269$			29.7099i			1.81145i	−0.423871	+	0.905723i	$0.639329\pi$
$270$	4.76263	−	16.3372i	0.289844	−	0.994253i
$271$	2.71569	+	4.70372i	0.164967	+	0.285730i	0.936643	−	0.350284i	$-0.113915\pi$
$271$	2.71569	+	4.70372i	0.164967	+	0.285730i	−0.771677	+	0.636015i	$0.780582\pi$
$272$	3.89735	+	2.25013i	0.236311	+	0.136434i
$273$			21.4794i			1.29999i
$274$	−19.1890	−	5.14169i	−1.15925	−	0.310621i
$275$	0.636883	−	14.5585i	0.0384055	−	0.877910i
$276$	19.8180	+	5.31023i	1.19291	+	0.319638i
$277$	−1.22632	+	2.12406i	−0.0736827	+	0.127622i	−0.900513	−	0.434830i	$-0.856809\pi$
$277$	−1.22632	+	2.12406i	−0.0736827	+	0.127622i	0.826830	+	0.562452i	$0.190142\pi$
$278$	4.10679	−	7.11316i	0.246309	−	0.426619i
$279$	−26.6614	−	7.14390i	−1.59618	−	0.427694i
$280$	−1.32336	−	5.40914i	−0.0790862	−	0.323258i
$281$	7.18951	+	1.92642i	0.428890	+	0.114921i	0.466805	−	0.884360i	$-0.345405\pi$
$281$	7.18951	+	1.92642i	0.428890	+	0.114921i	−0.0379149	+	0.999281i	$0.512072\pi$
$282$			28.6290i			1.70483i
$283$	14.0483	+	8.11077i	0.835083	+	0.482136i	0.855590	−	0.517654i	$-0.173195\pi$
$283$	14.0483	+	8.11077i	0.835083	+	0.482136i	−0.0205067	+	0.999790i	$0.506528\pi$
$284$	8.12975	+	14.0811i	0.482412	+	0.835562i
$285$	11.5641	+	21.0808i	0.685000	+	1.24872i
$286$			8.57384i			0.506982i
$287$	−3.62291	+	13.5209i	−0.213853	+	0.798112i
$288$		−	5.59575i		−	0.329733i
$289$	1.62621	−	2.81668i	0.0956595	−	0.165687i
$290$	11.7528	+	3.42616i	0.690146	+	0.201191i
$291$	3.45761	−	0.926463i	0.202688	−	0.0543102i
$292$	0.702184	+	2.62059i	0.0410922	+	0.153358i
$293$	16.6104	−	4.45075i	0.970391	−	0.260015i	0.261398	−	0.965231i	$-0.415816\pi$
$293$	16.6104	−	4.45075i	0.970391	−	0.260015i	0.708993	+	0.705216i	$0.249150\pi$
$294$	−0.605517	+	2.25982i	−0.0353145	+	0.131795i
$295$	−3.46397	+	11.8825i	−0.201680	+	0.691824i
$296$	2.51884	+	5.53674i	0.146405	+	0.321816i
$297$	15.6838	−	15.6838i	0.910068	−	0.910068i
$298$	−20.0910	+	11.5995i	−1.16384	+	0.671942i
$299$	10.2934	−	17.8287i	0.595282	−	1.03106i
$300$	13.9804	+	4.40932i	0.807159	+	0.254572i
$301$	6.36463	+	23.7531i	0.366851	+	1.36911i
$302$		−	8.69517i		−	0.500351i
$303$	27.9962	−	7.50156i	1.60834	−	0.430954i
$304$	2.59340	+	2.59340i	0.148742	+	0.148742i
$305$	11.1313	−	2.72330i	0.637375	−	0.155936i
$306$	−25.1824			−1.43958
$307$	4.39393	+	4.39393i	0.250775	+	0.250775i	0.821288	−	0.570514i	$-0.193256\pi$
$307$	4.39393	+	4.39393i	0.250775	+	0.250775i	−0.570514	+	0.821288i	$0.693256\pi$
$308$	1.87856	−	7.01087i	0.107041	−	0.399482i
$309$	13.4550	−	3.60526i	0.765429	−	0.205096i
$310$	3.08689	−	10.5890i	0.175324	−	0.601413i
$311$	−3.54892	+	13.2447i	−0.201241	+	0.751041i	0.789322	+	0.613980i	$0.210432\pi$
$311$	−3.54892	+	13.2447i	−0.201241	+	0.751041i	−0.990563	+	0.137061i	$0.956234\pi$
$312$	−8.33105	−	2.23230i	−0.471653	−	0.126379i
$313$	−7.92622	−	13.7286i	−0.448016	−	0.775987i	0.550241	−	0.835006i	$-0.314536\pi$
$313$	−7.92622	−	13.7286i	−0.448016	−	0.775987i	−0.998257	+	0.0590193i	$0.981203\pi$
$314$	−0.411829	−	1.53697i	−0.0232408	−	0.0867360i
$315$	21.5472	+	22.5105i	1.21405	+	1.26832i
$316$	−1.32272	+	4.93645i	−0.0744087	+	0.277697i
$317$	5.74837	−	21.4532i	0.322861	−	1.20493i	−0.593585	−	0.804772i	$-0.702288\pi$
$317$	5.74837	−	21.4532i	0.322861	−	1.20493i	0.916445	−	0.400160i	$-0.131046\pi$
$318$	14.5118	+	25.1352i	0.813781	+	1.40951i
$319$	11.2827	+	11.2827i	0.631710	+	0.631710i
$320$	2.23553	+	0.0488750i	0.124970	+	0.00273219i
$321$	−24.9681	+	14.4153i	−1.39358	+	0.804584i
$322$	−12.3233	+	12.3233i	−0.686750	+	0.686750i
$323$	11.6710	−	11.6710i	0.649393	−	0.649393i
$324$	2.76260	+	4.78497i	0.153478	+	0.265831i
$325$	7.90421	−	12.4048i	0.438447	−	0.688094i
$326$	17.9598	+	10.3691i	0.994704	+	0.574293i
$327$	21.7717			1.20398
$328$	−4.86771	−	2.81037i	−0.268774	−	0.155177i
$329$	−21.0602	−	12.1591i	−1.16109	−	0.670353i
$330$	13.2120	+	13.8026i	0.727298	+	0.759811i
$331$	14.0369	+	3.76116i	0.771535	+	0.206732i	0.623050	−	0.782182i	$-0.285893\pi$
$331$	14.0369	+	3.76116i	0.771535	+	0.206732i	0.148486	+	0.988915i	$0.452560\pi$
$332$	6.78781	+	6.78781i	0.372530	+	0.372530i
$333$	−27.6976	−	19.7840i	−1.51782	−	1.08416i
$334$		−	11.1941i		−	0.612514i
$335$	−7.56131	+	1.84990i	−0.413118	+	0.101071i
$336$	6.32324	+	3.65072i	0.344961	+	0.199163i
$337$	13.4975	−	3.61665i	0.735257	−	0.197012i	0.128288	−	0.991737i	$-0.459052\pi$
$337$	13.4975	−	3.61665i	0.735257	−	0.197012i	0.606969	+	0.794725i	$0.292385\pi$
$338$	2.17289	−	3.76356i	0.118190	−	0.204711i
$339$	−4.74469	−	4.74469i	−0.257696	−	0.257696i
$340$	0.219951	−	10.0605i	0.0119285	−	0.545607i
$341$	10.1655	−	10.1655i	0.550490	−	0.550490i
$342$	−19.8238	−	5.31178i	−1.07195	−	0.287228i
$343$	−13.7320	−	13.7320i	−0.741458	−	0.741458i
$344$	−9.87439			−0.532391
$345$	−10.9026	−	44.5634i	−0.586975	−	2.39921i
$346$	−5.27286	−	19.6786i	−0.283471	−	1.05793i
$347$	−13.8775			−0.744983			−0.372491	−	0.928036i	$-0.621496\pi$
$347$	−13.8775			−0.744983			−0.372491	+	0.928036i	$0.621496\pi$
$348$	−13.9008	+	8.02562i	−0.745161	+	0.430219i
$349$	−17.0386	+	9.83722i	−0.912053	+	0.526574i	−0.881091	−	0.472946i	$-0.843190\pi$
$349$	−17.0386	+	9.83722i	−0.912053	+	0.526574i	−0.0309622	+	0.999521i	$0.509857\pi$
$350$	−9.18125	+	8.41162i	−0.490758	+	0.449620i
$351$	21.6253	−	5.79449i	1.15428	−	0.309287i
$352$	2.52402	+	1.45724i	0.134531	+	0.0776712i
$353$	−22.2766	+	12.8614i	−1.18566	+	0.684544i	−0.957318	−	0.289036i	$-0.906665\pi$
$353$	−22.2766	+	12.8614i	−1.18566	+	0.684544i	−0.228346	+	0.973580i	$0.573332\pi$
$354$	−8.11419	−	14.0542i	−0.431264	−	0.746972i
$355$	18.8626	−	31.0815i	1.00112	−	1.64964i
$356$	−4.28245	+	4.28245i	−0.226969	+	0.226969i
$357$	16.4292	−	28.4563i	0.869527	−	1.50607i
$358$	−14.8312	−	3.97401i	−0.783853	−	0.210033i
$359$			3.28323i			0.173282i	0.996240	+	0.0866411i	$0.0276133\pi$
$359$			3.28323i			0.173282i	−0.996240	+	0.0866411i	$0.972387\pi$
$360$	−10.9703	+	6.01790i	−0.578185	+	0.317171i
$361$	−4.80516	+	2.77426i	−0.252903	+	0.146014i
$362$	6.75278			0.354918
$363$	−1.90144	−	7.09628i	−0.0997998	−	0.372458i
$364$	5.18043	−	5.18043i	0.271528	−	0.271528i
$365$	4.38242	−	4.19489i	0.229386	−	0.219571i
$366$	−7.51268	+	13.0123i	−0.392694	+	0.680166i
$367$	−0.805186	−	3.00500i	−0.0420304	−	0.156859i	0.941721	−	0.336394i	$-0.109207\pi$
$367$	−0.805186	−	3.00500i	−0.0420304	−	0.156859i	−0.983752	+	0.179535i	$0.942541\pi$
$368$	−3.49901	−	6.06046i	−0.182398	−	0.315923i
$369$	31.4523			1.63734
$370$	8.14572	−	10.8925i	0.423476	−	0.566276i
$371$	−24.6534			−1.27994
$372$	7.23090	+	12.5243i	0.374905	+	0.649354i
$373$	−3.25911	−	12.1632i	−0.168750	−	0.629785i	−0.997532	−	0.0702128i	$-0.977632\pi$
$373$	−3.25911	−	12.1632i	−0.168750	−	0.629785i	0.828782	−	0.559572i	$-0.189035\pi$
$374$	6.55798	−	11.3588i	0.339105	−	0.587347i
$375$	−6.39077	−	32.1501i	−0.330018	−	1.66022i
$376$	6.90478	−	6.90478i	0.356087	−	0.356087i
$377$	4.16847	+	15.5569i	0.214687	+	0.801224i
$378$	−18.9528			−0.974825
$379$	−21.6238	+	12.4845i	−1.11074	+	0.641287i	−0.939022	−	0.343858i	$-0.888266\pi$
$379$	−21.6238	+	12.4845i	−1.11074	+	0.641287i	−0.171721	+	0.985146i	$0.554933\pi$
$380$	2.29523	−	7.87333i	0.117743	−	0.403893i
$381$			53.2491i			2.72804i
$382$	24.2275	+	6.49173i	1.23958	+	0.332146i
$383$	−13.6541	+	23.6496i	−0.697692	+	1.20844i	0.271572	+	0.962418i	$0.412456\pi$
$383$	−13.6541	+	23.6496i	−0.697692	+	1.20844i	−0.969265	+	0.246021i	$0.920877\pi$
$384$	−2.07313	+	2.07313i	−0.105794	+	0.105794i
$385$	−15.7649	+	3.85692i	−0.803452	+	0.196567i
$386$	−4.46720	−	7.73742i	−0.227375	−	0.393824i
$387$	47.8519	−	27.6273i	2.43245	−	1.40438i
$388$	−1.05735	−	0.610464i	−0.0536790	−	0.0309916i
$389$	−6.45077	+	1.72848i	−0.327067	+	0.0876374i	−0.418616	−	0.908163i	$-0.637485\pi$
$389$	−6.45077	+	1.72848i	−0.327067	+	0.0876374i	0.0915491	+	0.995801i	$0.470818\pi$
$390$	4.58320	+	18.7334i	0.232079	+	0.948605i
$391$	−27.2737	+	15.7465i	−1.37929	+	0.796333i
$392$	0.691065	−	0.398986i	0.0349040	−	0.0201519i
$393$	13.0798			0.659788
$394$	3.23272	+	12.0647i	0.162862	+	0.607809i
$395$	11.1003	−	2.71571i	0.558514	−	0.136642i
$396$	−16.3087			−0.819544
$397$	0.915064	+	0.915064i	0.0459258	+	0.0459258i	0.729697	−	0.683771i	$-0.239661\pi$
$397$	0.915064	+	0.915064i	0.0459258	+	0.0459258i	−0.683771	+	0.729697i	$0.739661\pi$
$398$	2.50068	+	0.670054i	0.125348	+	0.0335868i
$399$	18.9356	−	18.9356i	0.947965	−	0.947965i
$400$	−2.30836	−	4.43525i	−0.115418	−	0.221763i
$401$	−9.35912	−	9.35912i	−0.467372	−	0.467372i	0.433690	−	0.901062i	$-0.357211\pi$
$401$	−9.35912	−	9.35912i	−0.467372	−	0.467372i	−0.901062	+	0.433690i	$0.857211\pi$
$402$	5.10325	−	8.83909i	0.254527	−	0.440854i
$403$	14.0164	−	3.75570i	0.698209	−	0.187085i
$404$	−8.56139	−	4.94292i	−0.425945	−	0.245919i
$405$	6.40975	−	10.5619i	0.318503	−	0.524826i
$406$		−	13.6343i		−	0.676660i
$407$	16.1367	−	7.34112i	0.799868	−	0.363886i
$408$	9.32965	+	9.32965i	0.461887	+	0.461887i
$409$	4.90038	+	1.31305i	0.242308	+	0.0649263i	0.377929	−	0.925835i	$-0.376636\pi$
$409$	4.90038	+	1.31305i	0.242308	+	0.0649263i	−0.135621	+	0.990761i	$0.543303\pi$
$410$	−0.274714	+	12.5654i	−0.0135672	+	0.620559i
$411$	−50.4408	−	29.1220i	−2.48806	−	1.43648i
$412$	−4.11461	−	2.37557i	−0.202713	−	0.117036i
$413$	13.7848			0.678305
$414$	33.9128	+	19.5796i	1.66672	+	0.962284i
$415$	6.00740	−	20.6072i	0.294891	−	1.01157i
$416$	1.47090	+	2.54768i	0.0721169	+	0.124910i
$417$	17.0278	−	17.0278i	0.833856	−	0.833856i
$418$	7.55843	−	7.55843i	0.369695	−	0.369695i
$419$	18.0468	−	10.4193i	0.881645	−	0.509018i	0.0104448	−	0.999945i	$-0.496675\pi$
$419$	18.0468	−	10.4193i	0.881645	−	0.509018i	0.871201	+	0.490927i	$0.163342\pi$
$420$	0.356858	−	16.3226i	0.0174129	−	0.796463i
$421$	−3.36658	−	3.36658i	−0.164077	−	0.164077i	0.620293	−	0.784370i	$-0.287014\pi$
$421$	−3.36658	−	3.36658i	−0.164077	−	0.164077i	−0.784370	+	0.620293i	$0.787014\pi$
$422$	−10.5052	−	18.1955i	−0.511384	−	0.885744i
$423$	−14.1423	+	52.7797i	−0.687622	+	2.56624i
$424$	2.56216	−	9.56210i	0.124429	−	0.464376i
$425$	−19.9598	+	10.3883i	−0.968194	+	0.503905i
$426$	12.3380	+	46.0461i	0.597779	+	2.23094i
$427$	−6.38146	−	11.0530i	−0.308820	−	0.534893i
$428$	9.49852	+	2.54512i	0.459128	+	0.123023i
$429$	−6.50599	+	24.2807i	−0.314112	+	1.17228i
$430$	10.6193	+	19.3584i	0.512109	+	0.933545i
$431$	−9.05721	+	2.42687i	−0.436270	+	0.116898i	−0.470268	−	0.882524i	$-0.655843\pi$
$431$	−9.05721	+	2.42687i	−0.436270	+	0.116898i	0.0339977	+	0.999422i	$0.489176\pi$
$432$	1.96971	−	7.35105i	0.0947676	−	0.353678i
$433$	22.5131	+	22.5131i	1.08191	+	1.08191i	0.996332	+	0.0855769i	$0.0272733\pi$
$433$	22.5131	+	22.5131i	1.08191	+	1.08191i	0.0855769	+	0.996332i	$0.472727\pi$
$434$	−12.2842			−0.589661
$435$	30.6834	+	18.6210i	1.47116	+	0.892807i
$436$	−5.25093	−	5.25093i	−0.251474	−	0.251474i
$437$	−24.7915	+	6.64287i	−1.18594	+	0.317772i
$438$			7.95420i			0.380067i
$439$	5.60810	+	20.9297i	0.267660	+	0.998920i	0.960602	+	0.277927i	$0.0896474\pi$
$439$	5.60810	+	20.9297i	0.267660	+	0.998920i	−0.692942	+	0.720993i	$0.743686\pi$
$440$	0.142445	−	6.51542i	0.00679081	−	0.310611i
$441$	−2.23263	+	3.86703i	−0.106316	+	0.184144i
$442$	11.4652	−	6.61946i	0.545346	−	0.314855i
$443$	−20.1246	+	20.1246i	−0.956148	+	0.956148i	−0.999078	−	0.0429303i	$-0.986331\pi$
$443$	−20.1246	+	20.1246i	−0.956148	+	0.956148i	0.0429303	+	0.999078i	$0.486331\pi$
$444$	2.93185	+	17.5911i	0.139140	+	0.834837i
$445$	13.0011	+	3.79008i	0.616312	+	0.179667i
$446$	1.34009	−	5.00127i	0.0634550	−	0.236817i
$447$	−65.6986	+	17.6039i	−3.10744	+	0.832635i
$448$	−0.644560	−	2.40553i	−0.0304526	−	0.113651i
$449$	19.7786	−	5.29965i	0.933409	−	0.250106i	0.240101	−	0.970748i	$-0.422819\pi$
$449$	19.7786	−	5.29965i	0.933409	−	0.250106i	0.693308	+	0.720642i	$0.256153\pi$
$450$	23.5958	+	15.0350i	1.11232	+	0.708757i
$451$	−8.19079	+	14.1869i	−0.385689	+	0.668033i
$452$			2.28866i			0.107649i
$453$	6.59806	−	24.6243i	0.310004	−	1.15695i
$454$			7.46188i			0.350203i
$455$	−15.7273	−	4.58482i	−0.737307	−	0.214940i
$456$	5.37647	+	9.31232i	0.251776	+	0.436089i
$457$	25.6780	+	14.8252i	1.20116	+	0.693493i	0.960814	−	0.277193i	$-0.0894043\pi$
$457$	25.6780	+	14.8252i	1.20116	+	0.693493i	0.240350	+	0.970686i	$0.422738\pi$
$458$			11.6487i			0.544308i
$459$	−33.0817	−	8.86421i	−1.54412	−	0.413746i
$460$	−8.11835	+	13.3773i	−0.378520	+	0.623722i
$461$	9.79986	+	2.62586i	0.456425	+	0.122299i	0.479704	−	0.877430i	$-0.340744\pi$
$461$	9.79986	+	2.62586i	0.456425	+	0.122299i	−0.0232792	+	0.999729i	$0.507411\pi$
$462$	10.6400	−	18.4290i	0.495016	−	0.857393i
$463$	7.34923	−	12.7292i	0.341548	−	0.591578i	−0.643173	−	0.765721i	$-0.722382\pi$
$463$	7.34923	−	12.7292i	0.341548	−	0.591578i	0.984720	+	0.174143i	$0.0557156\pi$
$464$	5.28823	+	1.41698i	0.245500	+	0.0657815i
$465$	16.7770	−	27.6451i	0.778017	−	1.28201i
$466$	18.6499	+	4.99723i	0.863940	+	0.231492i
$467$		−	19.8482i		−	0.918466i	−0.888316	−	0.459233i	$-0.848124\pi$
$467$		−	19.8482i		−	0.918466i	0.888316	−	0.459233i	$-0.151876\pi$
$468$	−14.2562	−	8.23081i	−0.658992	−	0.380469i
$469$	4.33483	+	7.50814i	0.200164	+	0.346694i
$470$	−20.9623	−	6.11091i	−0.966917	−	0.281875i
$471$		−	4.66512i		−	0.214957i
$472$	−1.43261	+	5.34659i	−0.0659414	+	0.246097i
$473$			28.7787i			1.32325i
$474$	−7.49175	+	12.9761i	−0.344107	+	0.596011i
$475$	−17.9038	+	3.96757i	−0.821482	+	0.182045i
$476$	−10.8255	+	2.90069i	−0.496187	+	0.132953i
$477$	14.3372	+	53.5071i	0.656455	+	2.44992i
$478$	−9.93702	+	2.66262i	−0.454509	+	0.121785i
$479$	−1.44887	+	5.40725i	−0.0662005	+	0.247064i	−0.991094	−	0.133162i	$-0.957487\pi$
$479$	−1.44887	+	5.40725i	−0.0662005	+	0.247064i	0.924894	+	0.380225i	$0.124154\pi$
$480$	6.29384	+	1.83478i	0.287273	+	0.0837457i
$481$	17.8108	+	1.72681i	0.812102	+	0.0787355i
$482$	16.0397	−	16.0397i	0.730589	−	0.730589i
$483$	−44.2501	+	25.5478i	−2.01345	+	1.16247i
$484$	−1.25290	+	2.17008i	−0.0569498	+	0.0986399i
$485$	−0.0596728	+	2.72942i	−0.00270960	+	0.123937i
$486$	−1.71649	−	6.40605i	−0.0778618	−	0.290584i
$487$		−	26.4208i		−	1.19724i	−0.801033	−	0.598620i	$-0.795716\pi$
$487$		−	26.4208i		−	1.19724i	0.801033	−	0.598620i	$-0.204284\pi$
$488$	4.95025	−	1.32641i	0.224087	−	0.0600440i
$489$	42.9931	+	42.9931i	1.94422	+	1.94422i
$490$	−1.52540	−	0.925723i	−0.0689105	−	0.0418199i
$491$	−4.33130			−0.195469			−0.0977345	−	0.995213i	$-0.531160\pi$
$491$	−4.33130			−0.195469			−0.0977345	+	0.995213i	$0.531160\pi$
$492$	−11.6526	−	11.6526i	−0.525338	−	0.525338i
$493$	6.37678	−	23.7985i	0.287196	−	1.07183i
$494$	10.4218	−	2.79251i	0.468899	−	0.125641i
$495$	17.5391	+	31.9727i	0.788322	+	1.43707i
$496$	1.27666	−	4.76457i	0.0573239	−	0.213936i
$497$	−39.1127	−	10.4802i	−1.75444	−	0.470102i
$498$	14.0720	+	24.3735i	0.630583	+	1.09220i
$499$	−2.76003	−	10.3006i	−0.123556	−	0.461117i	0.876228	−	0.481896i	$-0.160052\pi$
$499$	−2.76003	−	10.3006i	−0.123556	−	0.461117i	−0.999784	+	0.0207796i	$0.993385\pi$
$500$	−6.21265	+	9.29532i	−0.277838	+	0.415699i
$501$	8.49430	−	31.7012i	0.379497	−	1.41630i
$502$	−6.62378	+	24.7203i	−0.295634	+	1.10332i
$503$	−14.9266	−	25.8537i	−0.665545	−	1.15276i	−0.979137	−	0.203200i	$-0.934866\pi$
$503$	−14.9266	−	25.8537i	−0.665545	−	1.15276i	0.313592	−	0.949558i	$-0.398468\pi$
$504$	9.85395	+	9.85395i	0.438930	+	0.438930i
$505$	−0.483170	+	22.1001i	−0.0215008	+	0.983443i
$506$	−17.6631	+	10.1978i	−0.785220	+	0.453347i
$507$	9.00939	−	9.00939i	0.400121	−	0.400121i
$508$	12.8427	−	12.8427i	0.569802	−	0.569802i
$509$	7.95122	+	13.7719i	0.352432	+	0.610429i	0.986675	−	0.162704i	$-0.0520216\pi$
$509$	7.95122	+	13.7719i	0.352432	+	0.610429i	−0.634243	+	0.773133i	$0.718688\pi$
$510$	8.25699	−	28.3240i	0.365626	−	1.25421i
$511$	−5.85130	−	3.37825i	−0.258846	−	0.149445i
$512$	1.00000			0.0441942
$513$	−24.1725	−	13.9560i	−1.06724	−	0.616172i
$514$	−2.48829	−	1.43662i	−0.109754	−	0.0633664i
$515$	−0.232212	+	10.6214i	−0.0102325	+	0.468033i
$516$	−27.9638	−	7.49287i	−1.23104	−	0.329855i
$517$	−20.1239	−	20.1239i	−0.885047	−	0.885047i
$518$	−14.1856	−	5.31442i	−0.623281	−	0.233502i
$519$		−	59.7299i		−	2.62185i
$520$	3.41277	−	5.62353i	0.149660	−	0.246608i
$521$	−11.9100	−	6.87626i	−0.521788	−	0.301254i	0.215878	−	0.976420i	$-0.430739\pi$
$521$	−11.9100	−	6.87626i	−0.521788	−	0.301254i	−0.737666	+	0.675166i	$0.764072\pi$
$522$	−29.5917	+	7.92906i	−1.29519	+	0.347046i
$523$	−15.8567	+	27.4646i	−0.693364	+	1.20094i	0.277365	+	0.960765i	$0.410539\pi$
$523$	−15.8567	+	27.4646i	−0.693364	+	1.20094i	−0.970729	+	0.240177i	$0.922794\pi$
$524$	−3.15459	−	3.15459i	−0.137809	−	0.137809i
$525$	−32.3837	+	16.8544i	−1.41334	+	0.735586i
$526$	17.3445	−	17.3445i	0.756255	−	0.756255i
$527$	−21.4419	−	5.74533i	−0.934022	−	0.250271i
$528$	6.04211	+	6.04211i	0.262949	+	0.262949i
$529$	25.9722			1.12923
$530$	−21.5016	+	5.26044i	−0.933970	+	0.228499i
$531$	−8.01656	−	29.9182i	−0.347889	−	1.29834i
$532$	−9.13381			−0.396001
$533$	−14.3199	+	8.26757i	−0.620262	+	0.358108i
$534$	−15.3773	+	8.87809i	−0.665441	+	0.384192i
$535$	−5.22546	−	21.3587i	−0.225916	−	0.923415i
$536$	−3.36263	+	0.901014i	−0.145243	+	0.0389179i
$537$	−38.9857	−	22.5084i	−1.68236	−	0.971309i
$538$	25.7295	−	14.8550i	1.10928	−	0.640443i
$539$	−1.16284	−	2.01410i	−0.0500870	−	0.0867533i
$540$	−16.5298	+	4.04407i	−0.711329	+	0.174029i
$541$	−9.03482	+	9.03482i	−0.388437	+	0.388437i	−0.874130	−	0.485692i	$-0.838568\pi$
$541$	−9.03482	+	9.03482i	−0.388437	+	0.388437i	0.485692	+	0.874130i	$0.338568\pi$
$542$	2.71569	−	4.70372i	0.116649	−	0.202042i
$543$	19.1235	+	5.12414i	0.820669	+	0.219898i
$544$		−	4.50027i		−	0.192947i
$545$	−4.64721	+	15.9413i	−0.199065	+	0.682851i
$546$	18.6017	−	10.7397i	0.796080	−	0.459617i
$547$	−16.5498			−0.707618			−0.353809	−	0.935318i	$-0.615114\pi$
$547$	−16.5498			−0.707618			−0.353809	+	0.935318i	$0.615114\pi$
$548$	5.14169	+	19.1890i	0.219642	+	0.819715i
$549$	−20.2781	+	20.2781i	−0.865447	+	0.865447i
$550$	−12.9265	+	6.72769i	−0.551186	+	0.286870i
$551$	10.0397	−	17.3893i	0.427707	−	0.740810i
$552$	−5.31023	−	19.8180i	−0.226018	−	0.843511i
$553$	−6.36368	−	11.0222i	−0.270611	−	0.468712i
$554$	2.45265			0.104203
$555$	31.3338	−	24.6660i	1.33004	−	1.04701i
$556$	−8.21358			−0.348333
$557$	4.63703	+	8.03158i	0.196477	+	0.340309i	0.947384	−	0.320100i	$-0.103716\pi$
$557$	4.63703	+	8.03158i	0.196477	+	0.340309i	−0.750906	+	0.660409i	$0.770383\pi$
$558$	7.14390	+	26.6614i	0.302425	+	1.12867i
$559$	−14.5243	+	25.1567i	−0.614311	+	1.06402i
$560$	−4.02277	+	3.85064i	−0.169993	+	0.162719i
$561$	27.1911	−	27.1911i	1.14801	−	1.14801i
$562$	−1.92642	−	7.18951i	−0.0812613	−	0.303271i
$563$	−27.5466			−1.16095			−0.580475	−	0.814278i	$-0.697133\pi$
$563$	−27.5466			−1.16095			−0.580475	+	0.814278i	$0.697133\pi$
$564$	24.7935	−	14.3145i	1.04399	−	0.602750i
$565$	4.48684	−	2.46132i	0.188763	−	0.103548i
$566$		−	16.2215i		−	0.681843i
$567$	−13.2910	−	3.56132i	−0.558171	−	0.149561i
$568$	8.12975	−	14.0811i	0.341117	−	0.590832i
$569$	23.5363	−	23.5363i	0.986692	−	0.986692i	−0.0132206	−	0.999913i	$-0.504208\pi$
$569$	23.5363	−	23.5363i	0.986692	−	0.986692i	0.999913	+	0.0132206i	$0.00420837\pi$
$570$	12.4744	−	20.5552i	0.522496	−	0.860964i
$571$	−2.22675	−	3.85684i	−0.0931864	−	0.161404i	0.815664	−	0.578526i	$-0.196372\pi$
$571$	−2.22675	−	3.85684i	−0.0931864	−	0.161404i	−0.908850	+	0.417123i	$0.863039\pi$
$572$	7.42516	−	4.28692i	0.310462	−	0.179245i
$573$	63.6849	+	36.7685i	2.66048	+	1.53603i
$574$	13.5209	−	3.62291i	0.564350	−	0.151217i
$575$	34.9566	+	1.52923i	1.45779	+	0.0637733i
$576$	−4.84607	+	2.79788i	−0.201919	+	0.116578i
$577$	−24.0954	+	13.9115i	−1.00311	+	0.579144i	−0.909166	−	0.416434i	$-0.863280\pi$
$577$	−24.0954	+	13.9115i	−1.00311	+	0.579144i	−0.0939404	+	0.995578i	$0.529946\pi$
$578$	−3.25242			−0.135283
$579$	−6.77960	−	25.3018i	−0.281750	−	1.05151i
$580$	−2.90924	−	11.8913i	−0.120800	−	0.493759i
$581$	−23.9063			−0.991799
$582$	−2.53114	−	2.53114i	−0.104919	−	0.104919i
$583$	−27.8686	−	7.46736i	−1.15420	−	0.309266i
$584$	1.91840	−	1.91840i	0.0793841	−	0.0793841i
$585$	−0.804561	+	36.8005i	−0.0332645	+	1.52151i
$586$	−12.1597	−	12.1597i	−0.502311	−	0.502311i
$587$	−12.9461	+	22.4234i	−0.534344	+	0.925511i	0.464850	+	0.885389i	$0.346108\pi$
$587$	−12.9461	+	22.4234i	−0.534344	+	0.925511i	−0.999195	+	0.0401223i	$0.987225\pi$
$588$	2.25982	−	0.605517i	0.0931934	−	0.0249711i
$589$	−15.6674	−	9.04556i	−0.645563	−	0.372716i
$590$	12.0225	−	2.94134i	0.494959	−	0.121093i
$591$			36.6196i			1.50633i
$592$	3.53553	−	4.94975i	0.145310	−	0.203433i
$593$	2.54694	+	2.54694i	0.104590	+	0.104590i	0.757466	−	0.652875i	$-0.226437\pi$
$593$	2.54694	+	2.54694i	0.104590	+	0.104590i	−0.652875	+	0.757466i	$0.726437\pi$
$594$	−21.4245	−	5.74068i	−0.879058	−	0.235543i
$595$	17.3289	+	18.1036i	0.710416	+	0.742174i
$596$	20.0910	+	11.5995i	0.822958	+	0.475135i
$597$	6.57334	+	3.79512i	0.269029	+	0.155324i
$598$	−20.5868			−0.841856
$599$	22.7545	+	13.1373i	0.929722	+	0.536775i	0.886724	−	0.462300i	$-0.152976\pi$
$599$	22.7545	+	13.1373i	0.929722	+	0.536775i	0.0429982	+	0.999075i	$0.486309\pi$
$600$	−3.17162	−	14.3120i	−0.129481	−	0.584287i
$601$	−2.70181	−	4.67966i	−0.110209	−	0.190887i	0.805645	−	0.592398i	$-0.201819\pi$
$601$	−2.70181	−	4.67966i	−0.110209	−	0.190887i	−0.915854	+	0.401510i	$0.868485\pi$
$602$	17.3885	−	17.3885i	0.708702	−	0.708702i
$603$	13.7746	−	13.7746i	0.560945	−	0.560945i
$604$	−7.53024	+	4.34759i	−0.306401	+	0.176901i
$605$	5.60178	+	0.122470i	0.227745	+	0.00497913i
$606$	−20.4947	−	20.4947i	−0.832538	−	0.832538i
$607$	0.348070	+	0.602876i	0.0141277	+	0.0244700i	0.873003	−	0.487715i	$-0.162170\pi$
$607$	0.348070	+	0.602876i	0.0141277	+	0.0244700i	−0.858875	+	0.512185i	$0.828836\pi$
$608$	0.949252	−	3.54266i	0.0384972	−	0.143674i
$609$	10.3460	−	38.6117i	0.419241	−	1.56463i
$610$	−7.92408	−	8.27831i	−0.320837	−	0.335179i
$611$	−7.43490	−	27.7474i	−0.300784	−	1.12254i
$612$	12.5912	+	21.8086i	0.508969	+	0.881560i
$613$	−31.7889	−	8.51781i	−1.28394	−	0.344031i	−0.448585	−	0.893740i	$-0.648072\pi$
$613$	−31.7889	−	8.51781i	−1.28394	−	0.344031i	−0.835356	+	0.549709i	$0.814739\pi$
$614$	1.60829	−	6.00222i	0.0649053	−	0.242230i
$615$	−10.3128	+	35.3761i	−0.415853	+	1.42650i
$616$	−7.01087	+	1.87856i	−0.282476	+	0.0756892i
$617$	−5.00558	+	18.6811i	−0.201517	+	0.752071i	0.788966	+	0.614437i	$0.210617\pi$
$617$	−5.00558	+	18.6811i	−0.201517	+	0.752071i	−0.990483	+	0.137635i	$0.956050\pi$
$618$	−9.84976	−	9.84976i	−0.396215	−	0.396215i
$619$	−34.7569			−1.39700			−0.698499	−	0.715611i	$-0.746148\pi$
$619$	−34.7569			−1.39700			−0.698499	+	0.715611i	$0.746148\pi$
$620$	−10.7138	+	2.62116i	−0.430275	+	0.105268i
$621$	37.6587	+	37.6587i	1.51119	+	1.51119i
$622$	13.2447	−	3.54892i	0.531066	−	0.142299i
$623$		−	15.0825i		−	0.604269i
$624$	2.23230	+	8.33105i	0.0893634	+	0.333509i
$625$	24.9045	+	2.18315i	0.996180	+	0.0873258i
$626$	−7.92622	+	13.7286i	−0.316795	+	0.548706i
$627$	27.1406	−	15.6696i	1.08389	−	0.625785i
$628$	−1.12514	+	1.12514i	−0.0448979	+	0.0448979i
$629$	−22.2752	−	15.9109i	−0.888170	−	0.634407i
$630$	8.72101	−	29.9157i	0.347453	−	1.19187i
$631$	8.92452	−	33.3068i	0.355280	−	1.32592i	−0.524853	−	0.851193i	$-0.675880\pi$
$631$	8.92452	−	33.3068i	0.355280	−	1.32592i	0.880132	−	0.474728i	$-0.157454\pi$
$632$	4.93645	−	1.32272i	0.196362	−	0.0526149i
$633$	−15.9431	−	59.5003i	−0.633680	−	2.36493i
$634$	−21.4532	+	5.74837i	−0.852016	+	0.228297i
$635$	−38.9892	−	11.3661i	−1.54724	−	0.451050i
$636$	14.5118	−	25.1352i	0.575430	−	0.996675i
$637$		−	2.34748i		−	0.0930105i
$638$	4.12976	−	15.4125i	0.163499	−	0.610185i
$639$			90.9842i			3.59928i
$640$	−1.07544	−	1.96047i	−0.0425105	−	0.0774942i
$641$	11.7067	+	20.2766i	0.462387	+	0.800879i	0.999079	−	0.0428997i	$-0.0136596\pi$
$641$	11.7067	+	20.2766i	0.462387	+	0.800879i	−0.536692	+	0.843778i	$0.680326\pi$
$642$	24.9681	+	14.4153i	0.985410	+	0.568927i
$643$		−	20.0645i		−	0.791267i	−0.918408	−	0.395633i	$-0.870525\pi$
$643$		−	20.0645i		−	0.791267i	0.918408	−	0.395633i	$-0.129475\pi$
$644$	16.8339	+	4.51064i	0.663349	+	0.177744i
$645$	15.3838	+	62.8802i	0.605738	+	2.47590i
$646$	−15.9429	−	4.27189i	−0.627265	−	0.168075i
$647$	12.3158	−	21.3316i	0.484184	−	0.838632i	−0.515651	−	0.856799i	$-0.672450\pi$
$647$	12.3158	−	21.3316i	0.484184	−	0.838632i	0.999835	+	0.0181670i	$0.00578305\pi$
$648$	2.76260	−	4.78497i	0.108525	−	0.187971i
$649$	15.5825	+	4.17533i	0.611669	+	0.163896i
$650$	−14.6950	−	0.642853i	−0.576384	−	0.0252148i
$651$	−34.7883	−	9.32149i	−1.36346	−	0.365338i
$652$		−	20.7382i		−	0.812172i
$653$	23.9165	+	13.8082i	0.935926	+	0.540357i	0.888681	−	0.458526i	$-0.151623\pi$
$653$	23.9165	+	13.8082i	0.935926	+	0.540357i	0.0472449	+	0.998883i	$0.484956\pi$
$654$	−10.8859	−	18.8549i	−0.425671	−	0.737284i
$655$	−2.79190	+	9.57705i	−0.109089	+	0.374206i
$656$			5.62075i			0.219453i
$657$	−3.92925	+	14.6642i	−0.153295	+	0.572103i
$658$			24.3182i			0.948023i
$659$	2.31063	−	4.00213i	0.0900094	−	0.155901i	−0.817505	−	0.575921i	$-0.804644\pi$
$659$	2.31063	−	4.00213i	0.0900094	−	0.155901i	0.907515	+	0.420020i	$0.137977\pi$
$660$	5.34743	−	18.3433i	0.208148	−	0.714011i
$661$	28.2133	−	7.55973i	1.09737	−	0.294039i	0.335677	−	0.941977i	$-0.391035\pi$
$661$	28.2133	−	7.55973i	1.09737	−	0.294039i	0.761693	+	0.647938i	$0.224368\pi$
$662$	−3.76116	−	14.0369i	−0.146182	−	0.545558i
$663$	37.4920	−	10.0459i	1.45607	−	0.390152i
$664$	2.48451	−	9.27233i	0.0964178	−	0.359836i
$665$	9.82286	+	17.9065i	0.380914	+	0.694385i
$666$	−3.28464	+	33.8788i	−0.127277	+	1.31278i
$667$	−27.0911	+	27.0911i	−1.04897	+	1.04897i
$668$	−9.69438	+	5.59705i	−0.375087	+	0.216556i
$669$	7.59012	−	13.1465i	0.293451	−	0.508272i
$670$	5.38271	+	5.62333i	0.207952	+	0.217248i
$671$	−3.86581	−	14.4274i	−0.149238	−	0.556964i
$672$		−	7.30145i		−	0.281659i
$673$	−13.0509	+	3.49699i	−0.503077	+	0.134799i	−0.501428	−	0.865200i	$-0.667192\pi$
$673$	−13.0509	+	3.49699i	−0.503077	+	0.134799i	−0.00164915	+	0.999999i	$0.500525\pi$
$674$	−9.88088	−	9.88088i	−0.380597	−	0.380597i
$675$	25.7050	+	28.0569i	0.989388	+	1.07991i
$676$	−4.34579			−0.167146
$677$	−31.0974	−	31.0974i	−1.19517	−	1.19517i	−0.975596	−	0.219575i	$-0.929533\pi$
$677$	−31.0974	−	31.0974i	−1.19517	−	1.19517i	−0.219575	−	0.975596i	$-0.570467\pi$
$678$	−1.73668	+	6.48137i	−0.0666967	+	0.248916i
$679$	2.93698	−	0.786960i	0.112711	−	0.0302008i
$680$	−8.82263	+	4.83977i	−0.338332	+	0.185597i
$681$	−5.66221	+	21.1317i	−0.216977	+	0.809767i
$682$	−13.8863	−	3.72081i	−0.531733	−	0.142477i
$683$	−20.9205	−	36.2354i	−0.800502	−	1.38651i	−0.919286	−	0.393589i	$-0.871233\pi$
$683$	−20.9205	−	36.2354i	−0.800502	−	1.38651i	0.118785	−	0.992920i	$-0.462100\pi$
$684$	5.31178	+	19.8238i	0.203101	+	0.757983i
$685$	32.0899	−	30.7168i	1.22609	−	1.17363i
$686$	−5.02626	+	18.7583i	−0.191903	+	0.716193i
$687$	−8.83926	+	32.9886i	−0.337239	+	1.25859i
$688$	4.93719	+	8.55147i	0.188229	+	0.326022i
$689$	−20.5925	−	20.5925i	−0.784510	−	0.784510i
$690$	−33.1418	+	31.7236i	−1.26169	+	1.20770i
$691$	10.8371	−	6.25679i	0.412262	−	0.238019i	−0.279499	−	0.960146i	$-0.590168\pi$
$691$	10.8371	−	6.25679i	0.412262	−	0.238019i	0.691761	+	0.722126i	$0.256835\pi$
$692$	−14.4057	+	14.4057i	−0.547623	+	0.547623i
$693$	28.7192	−	28.7192i	1.09095	−	1.09095i
$694$	6.93875	+	12.0183i	0.263391	+	0.456207i
$695$	8.83321	+	16.1024i	0.335063	+	0.610800i
$696$	13.9008	+	8.02562i	0.526908	+	0.304211i
$697$	25.2949			0.958112
$698$	17.0386	+	9.83722i	0.644919	+	0.372344i
$699$	49.0236	+	28.3038i	1.85424	+	1.07055i
$700$	11.8753	+	3.74538i	0.448844	+	0.141562i
$701$	39.0904	+	10.4742i	1.47643	+	0.395607i	0.905129	−	0.425137i	$-0.139774\pi$
$701$	39.0904	+	10.4742i	1.47643	+	0.395607i	0.571296	+	0.820744i	$0.306441\pi$
$702$	−15.8309	−	15.8309i	−0.597497	−	0.597497i
$703$	−14.1791	−	17.2237i	−0.534776	−	0.649605i
$704$		−	2.91448i		−	0.109844i
$705$	−54.7270	−	33.2124i	−2.06114	−	1.25085i
$706$	22.2766	+	12.8614i	0.838391	+	0.484046i
$707$	23.7807	−	6.37201i	0.894364	−	0.239644i
$708$	−8.11419	+	14.0542i	−0.304950	+	0.528189i
$709$	33.0295	+	33.0295i	1.24045	+	1.24045i	0.959815	+	0.280634i	$0.0905449\pi$
$709$	33.0295	+	33.0295i	1.24045	+	1.24045i	0.280634	+	0.959815i	$0.409455\pi$
$710$	−36.3487	−	0.794683i	−1.36414	−	0.0298239i
$711$	−20.2216	+	20.2216i	−0.758368	+	0.758368i
$712$	5.84994	+	1.56749i	0.219236	+	0.0587440i
$713$	24.4084	+	24.4084i	0.914103	+	0.914103i
$714$	−32.8585			−1.22970
$715$	−16.3897	−	9.94646i	−0.612939	−	0.371976i
$716$	3.97401	+	14.8312i	0.148516	+	0.554268i
$717$	−30.1616			−1.12641
$718$	2.84336	−	1.64161i	0.106113	−	0.0612645i
$719$	−9.31836	+	5.37996i	−0.347516	+	0.200639i	−0.663591	−	0.748096i	$-0.730968\pi$
$719$	−9.31836	+	5.37996i	−0.347516	+	0.200639i	0.316075	+	0.948734i	$0.397635\pi$
$720$	10.6968	+	6.49160i	0.398646	+	0.241928i
$721$	11.4290	−	3.06240i	0.425639	−	0.114050i
$722$	4.80516	+	2.77426i	0.178829	+	0.103247i
$723$	57.5950	−	33.2525i	2.14198	−	1.23667i
$724$	−3.37639	−	5.84808i	−0.125482	−	0.217342i
$725$	−20.1837	+	18.4918i	−0.749605	+	0.686769i
$726$	−5.19484	+	5.19484i	−0.192798	+	0.192798i
$727$	−13.7671	+	23.8454i	−0.510595	+	0.884377i	0.489329	+	0.872099i	$0.337242\pi$
$727$	−13.7671	+	23.8454i	−0.510595	+	0.884377i	−0.999925	+	0.0122778i	$0.996092\pi$
$728$	−7.07660	−	1.89617i	−0.262276	−	0.0702767i
$729$		−	36.0197i		−	1.33406i
$730$	−5.82409	−	1.69784i	−0.215559	−	0.0628398i
$731$	38.4839	−	22.2187i	1.42338	−	0.821788i
$732$	15.0254			0.555354
$733$	12.9712	+	48.4090i	0.479101	+	1.78803i	0.605271	+	0.796020i	$0.293065\pi$
$733$	12.9712	+	48.4090i	0.479101	+	1.78803i	−0.126170	+	0.992009i	$0.540268\pi$
$734$	−2.19981	+	2.19981i	−0.0811964	+	0.0811964i
$735$	−3.61740	−	3.77910i	−0.133430	−	0.139394i
$736$	−3.49901	+	6.06046i	−0.128975	+	0.223391i
$737$	2.62599	+	9.80032i	0.0967295	+	0.360999i
$738$	−15.7262	−	27.2385i	−0.578888	−	1.00266i
$739$	23.0622			0.848358			0.424179	−	0.905578i	$-0.360563\pi$
$739$	23.0622			0.848358			0.424179	+	0.905578i	$0.360563\pi$
$740$	−13.5061	−	1.60814i	−0.496493	−	0.0591164i
$741$	31.6330			1.16207
$742$	12.3267	+	21.3504i	0.452527	+	0.783799i
$743$	11.5317	+	43.0369i	0.423057	+	1.57887i	0.768130	+	0.640294i	$0.221188\pi$
$743$	11.5317	+	43.0369i	0.423057	+	1.57887i	−0.345073	+	0.938576i	$0.612146\pi$
$744$	7.23090	−	12.5243i	0.265098	−	0.459163i
$745$	1.13385	−	51.8623i	0.0415412	−	1.90009i
$746$	−8.90406	+	8.90406i	−0.326001	+	0.326001i
$747$	13.9027	+	51.8857i	0.508674	+	1.89840i
$748$	−13.1160			−0.479567
$749$	−21.2085	+	12.2447i	−0.774941	+	0.447412i
$750$	−24.6474	+	21.6096i	−0.899996	+	0.789071i
$751$		−	39.1233i		−	1.42763i	−0.700335	−	0.713814i	$-0.746966\pi$
$751$		−	39.1233i		−	1.42763i	0.700335	−	0.713814i	$-0.253034\pi$
$752$	−9.43211	−	2.52733i	−0.343954	−	0.0921621i
$753$	−37.5165	+	64.9804i	−1.36718	+	2.36802i
$754$	11.3885	−	11.3885i	0.414744	−	0.414744i
$755$	16.6216	+	10.0872i	0.604923	+	0.367111i
$756$	9.47638	+	16.4136i	0.344653	+	0.596956i
$757$	−27.1922	+	15.6994i	−0.988318	+	0.570606i	−0.904771	−	0.425898i	$-0.859958\pi$
$757$	−27.1922	+	15.6994i	−0.988318	+	0.570606i	−0.0835471	+	0.996504i	$0.526625\pi$
$758$	21.6238	+	12.4845i	0.785413	+	0.453459i
$759$	−57.7593	+	15.4766i	−2.09653	+	0.561764i
$760$	−7.96612	+	1.94894i	−0.288962	+	0.0706954i
$761$	−3.86054	+	2.22888i	−0.139945	+	0.0807970i	−0.568338	−	0.822795i	$-0.692413\pi$
$761$	−3.86054	+	2.22888i	−0.139945	+	0.0807970i	0.428393	+	0.903593i	$0.359080\pi$
$762$	46.1151	−	26.6246i	1.67057	−	0.964506i
$763$	18.4934			0.669508
$764$	−6.49173	−	24.2275i	−0.234862	−	0.876518i
$765$	29.2139	−	48.1385i	1.05623	−	1.74045i
$766$	27.3082			0.986686
$767$	11.5142	+	11.5142i	0.415752	+	0.415752i
$768$	2.83195	+	0.758819i	0.102189	+	0.0273815i
$769$	10.1672	−	10.1672i	0.366640	−	0.366640i	−0.499610	−	0.866250i	$-0.666523\pi$
$769$	10.1672	−	10.1672i	0.366640	−	0.366640i	0.866250	+	0.499610i	$0.166523\pi$
$770$	11.2226	+	11.7243i	0.404435	+	0.422515i
$771$	−5.95659	−	5.95659i	−0.214521	−	0.214521i
$772$	−4.46720	+	7.73742i	−0.160778	+	0.278476i
$773$	14.7012	−	3.93918i	0.528766	−	0.141682i	0.0154475	−	0.999881i	$-0.495083\pi$
$773$	14.7012	−	3.93918i	0.528766	−	0.141682i	0.513318	+	0.858198i	$0.328416\pi$
$774$	−47.8519	−	27.6273i	−1.72000	−	0.993043i
$775$	16.6607	+	18.1851i	0.598470	+	0.653227i
$776$			1.22093i			0.0438287i
$777$	−36.1403	−	25.8145i	−1.29653	−	0.926090i
$778$	4.72230	+	4.72230i	0.169302	+	0.169302i
$779$	19.9124	+	5.33550i	0.713435	+	0.191164i
$780$	13.9320	−	13.3359i	0.498847	−	0.477501i
$781$	−41.0393	−	23.6940i	−1.46850	−	0.847839i
$782$	27.2737	+	15.7465i	0.975305	+	0.563093i
$783$	−41.6651			−1.48899
$784$	−0.691065	−	0.398986i	−0.0246809	−	0.0142495i
$785$	3.41581	+	0.995776i	0.121916	+	0.0355408i
$786$	−6.53989	−	11.3274i	−0.233270	−	0.404036i
$787$	1.95778	−	1.95778i	0.0697872	−	0.0697872i	−0.671352	−	0.741139i	$-0.734286\pi$
$787$	1.95778	−	1.95778i	0.0697872	−	0.0697872i	0.741139	+	0.671352i	$0.234286\pi$
$788$	8.83194	−	8.83194i	0.314625	−	0.314625i
$789$	62.2801	−	35.9574i	2.21723	−	1.28012i
$790$	−7.90200	−	8.25525i	−0.281141	−	0.293708i
$791$	−4.03026	−	4.03026i	−0.143300	−	0.143300i
$792$	8.15436	+	14.1238i	0.289753	+	0.501866i
$793$	3.90205	−	14.5627i	0.138566	−	0.517135i
$794$	0.334937	−	1.25000i	0.0118865	−	0.0443609i
$795$	−64.8832	−	1.41853i	−2.30117	−	0.0503100i
$796$	−0.670054	−	2.50068i	−0.0237494	−	0.0886341i
$797$	−7.61609	−	13.1915i	−0.269776	−	0.467265i	0.699028	−	0.715094i	$-0.253616\pi$
$797$	−7.61609	−	13.1915i	−0.269776	−	0.467265i	−0.968804	+	0.247829i	$0.920283\pi$
$798$	−25.8665	−	6.93091i	−0.915664	−	0.245352i
$799$	−11.3736	+	42.4470i	−0.402371	+	1.50167i
$800$	−2.68686	+	4.21673i	−0.0949948	+	0.149084i
$801$	−32.7348	+	8.77126i	−1.15663	+	0.309917i
$802$	−3.42568	+	12.7848i	−0.120965	+	0.451447i
$803$	−5.59115	−	5.59115i	−0.197307	−	0.197307i
$804$	−10.2065			−0.359956
$805$	−9.26092	−	37.8533i	−0.326405	−	1.33415i
$806$	−10.2608	−	10.2608i	−0.361420	−	0.361420i
$807$	84.1370	−	22.5444i	2.96176	−	0.793602i
$808$			9.88584i			0.347783i
$809$	−4.12406	−	15.3912i	−0.144994	−	0.541126i	−0.999756	−	0.0221047i	$-0.992963\pi$
$809$	−4.12406	−	15.3912i	−0.144994	−	0.541126i	0.854761	−	0.519021i	$-0.173703\pi$
$810$	−12.3518	−	0.270044i	−0.433997	−	0.00948838i
$811$	−13.6858	+	23.7045i	−0.480573	+	0.832377i	−0.999752	−	0.0222890i	$-0.992905\pi$
$811$	−13.6858	+	23.7045i	−0.480573	+	0.832377i	0.519179	+	0.854666i	$0.326238\pi$
$812$	−11.8077	+	6.81716i	−0.414368	+	0.239236i
$813$	11.2600	−	11.2600i	0.394905	−	0.394905i
$814$	−14.4260	−	10.3043i	−0.505629	−	0.361164i
$815$	−40.6566	+	22.3027i	−1.42414	+	0.781231i
$816$	3.41489	−	12.7445i	0.119545	−	0.446148i
$817$	34.9815	−	9.37328i	1.22385	−	0.327929i
$818$	−1.31305	−	4.90038i	−0.0459098	−	0.171338i
$819$	39.5989	−	10.6105i	1.38370	−	0.370761i
$820$	11.0193	−	6.04478i	0.384810	−	0.211093i
$821$	−13.1291	+	22.7402i	−0.458208	+	0.793640i	−0.998866	−	0.0476025i	$-0.984842\pi$
$821$	−13.1291	+	22.7402i	−0.458208	+	0.793640i	0.540658	+	0.841242i	$0.318175\pi$
$822$			58.2440i			2.03149i
$823$	−14.2572	+	53.2085i	−0.496974	+	1.85473i	0.0217092	+	0.999764i	$0.493089\pi$
$823$	−14.2572	+	53.2085i	−0.496974	+	1.85473i	−0.518683	+	0.854967i	$0.673577\pi$
$824$			4.75115i			0.165514i
$825$	−41.7122	+	9.24364i	−1.45223	+	0.321822i
$826$	−6.89239	−	11.9380i	−0.239817	−	0.415375i
$827$	44.0522	+	25.4336i	1.53185	+	0.884412i	0.999277	+	0.0380248i	$0.0121066\pi$
$827$	44.0522	+	25.4336i	1.53185	+	0.884412i	0.532569	+	0.846387i	$0.321227\pi$
$828$		−	39.1592i		−	1.36087i
$829$	21.7554	+	5.82935i	0.755597	+	0.202462i	0.615999	−	0.787747i	$-0.288752\pi$
$829$	21.7554	+	5.82935i	0.755597	+	0.202462i	0.139598	+	0.990208i	$0.455419\pi$
$830$	−20.8500	+	5.10103i	−0.723715	+	0.177059i
$831$	6.94578	+	1.86112i	0.240946	+	0.0645614i
$832$	1.47090	−	2.54768i	0.0509944	−	0.0883248i
$833$	−1.79555	+	3.10998i	−0.0622120	+	0.107754i
$834$	−23.2604	−	6.23262i	−0.805443	−	0.215818i
$835$	21.3986	+	12.9862i	0.740528	+	0.449406i
$836$	−10.3250	−	2.76658i	−0.357098	−	0.0956841i
$837$			37.5393i			1.29755i
$838$	−18.0468	−	10.4193i	−0.623417	−	0.359930i
$839$	−1.94301	−	3.36539i	−0.0670802	−	0.116186i	0.830535	−	0.556967i	$-0.188035\pi$
$839$	−1.94301	−	3.36539i	−0.0670802	−	0.116186i	−0.897615	+	0.440781i	$0.854702\pi$
$840$	−14.3142	+	7.85227i	−0.493888	+	0.270929i
$841$		−	0.973241i		−	0.0335600i
$842$	−1.23225	+	4.59883i	−0.0424663	+	0.158486i
$843$		−	21.8222i		−	0.751595i
$844$	−10.5052	+	18.1955i	−0.361603	+	0.626315i
$845$	4.67363	+	8.51977i	0.160778	+	0.293089i
$846$	52.7797	−	14.1423i	1.81461	−	0.486222i
$847$	−1.61513	−	6.02775i	−0.0554966	−	0.207116i
$848$	−9.56210	+	2.56216i	−0.328364	+	0.0879848i
$849$	12.3092	−	45.9386i	0.422451	−	1.57661i
$850$	18.9764	+	12.0916i	0.650886	+	0.414738i
$851$	17.6269	+	38.7461i	0.604241	+	1.32820i
$852$	33.7081	−	33.7081i	1.15482	−	1.15482i
$853$	15.1028	−	8.71959i	0.517109	−	0.298553i	−0.218642	−	0.975805i	$-0.570163\pi$
$853$	15.1028	−	8.71959i	0.517109	−	0.298553i	0.735751	+	0.677252i	$0.236829\pi$
$854$	−6.38146	+	11.0530i	−0.218369	+	0.378226i
$855$	33.1515	−	31.7329i	1.13376	−	1.08524i
$856$	−2.54512	−	9.49852i	−0.0869904	−	0.324653i
$857$			37.6407i			1.28578i	0.765957	+	0.642891i	$0.222265\pi$
$857$			37.6407i			1.28578i	−0.765957	+	0.642891i	$0.777735\pi$
$858$	24.2807	−	6.50599i	0.828929	−	0.222111i
$859$	−2.71199	−	2.71199i	−0.0925318	−	0.0925318i	0.659326	−	0.751857i	$-0.270842\pi$
$859$	−2.71199	−	2.71199i	−0.0925318	−	0.0925318i	−0.751857	+	0.659326i	$0.770842\pi$
$860$	11.4552	−	18.8758i	0.390620	−	0.643659i
$861$	41.0396			1.39863
$862$	6.63034	+	6.63034i	0.225830	+	0.225830i
$863$	−6.13575	+	22.8989i	−0.208863	+	0.779488i	0.779374	+	0.626559i	$0.215537\pi$
$863$	−6.13575	+	22.8989i	−0.208863	+	0.779488i	−0.988237	+	0.152929i	$0.951129\pi$
$864$	−7.35105	+	1.96971i	−0.250088	+	0.0670108i
$865$	43.7344	+	12.7494i	1.48701	+	0.433494i
$866$	8.24035	−	30.7534i	0.280019	−	1.04504i
$867$	−9.21070	−	2.46800i	−0.312812	−	0.0838177i
$868$	6.14210	+	10.6384i	0.208477	+	0.361092i
$869$	−3.85504	−	14.3872i	−0.130773	−	0.488052i
$870$	0.784505	−	35.8831i	0.0265972	−	1.21655i
$871$	−2.65061	+	9.89219i	−0.0898123	+	0.335184i
$872$	−1.92197	+	7.17290i	−0.0650862	+	0.242905i
$873$	−3.41600	−	5.91669i	−0.115614	−	0.200250i
$874$	18.1487	+	18.1487i	0.613888	+	0.613888i
$875$	−5.42848	−	27.3091i	−0.183516	−	0.923215i
$876$	6.88854	−	3.97710i	0.232742	−	0.134374i
$877$	21.0872	−	21.0872i	0.712063	−	0.712063i	−0.254904	−	0.966966i	$-0.582044\pi$
$877$	21.0872	−	21.0872i	0.712063	−	0.712063i	0.966966	+	0.254904i	$0.0820437\pi$
$878$	15.3216	−	15.3216i	0.517079	−	0.517079i
$879$	−25.2086	−	43.6626i	−0.850265	−	1.47270i
$880$	−5.71375	+	3.13435i	−0.192610	+	0.105659i
$881$	7.01150	+	4.04809i	0.236224	+	0.136384i	0.613440	−	0.789741i	$-0.289785\pi$
$881$	7.01150	+	4.04809i	0.236224	+	0.136384i	−0.377216	+	0.926125i	$0.623119\pi$
$882$	4.46526			0.150353
$883$	−5.09751	−	2.94305i	−0.171545	−	0.0990414i	0.411769	−	0.911288i	$-0.364911\pi$
$883$	−5.09751	−	2.94305i	−0.171545	−	0.0990414i	−0.583314	+	0.812247i	$0.698244\pi$
$884$	−11.4652	−	6.61946i	−0.385618	−	0.222636i
$885$	36.2791	+	0.793162i	1.21951	+	0.0266618i
$886$	27.4907	+	7.36611i	0.923568	+	0.247469i
$887$	14.2895	+	14.2895i	0.479794	+	0.479794i	0.905066	−	0.425271i	$-0.139821\pi$
$887$	14.2895	+	14.2895i	0.479794	+	0.479794i	−0.425271	+	0.905066i	$0.639821\pi$
$888$	13.7684	−	11.3346i	0.462038	−	0.380365i
$889$			45.2311i			1.51700i
$890$	−3.21825	−	13.1543i	−0.107876	−	0.440935i
$891$	−13.9457	−	8.05155i	−0.467198	−	0.269737i
$892$	−5.00127	+	1.34009i	−0.167455	+	0.0448694i
$893$	−17.9069	+	31.0156i	−0.599231	+	1.03790i
$894$	48.0947	+	48.0947i	1.60853	+	1.60853i
$895$	24.8023	−	23.7410i	0.829048	−	0.793573i
$896$	−1.76097	+	1.76097i	−0.0588299	+	0.0588299i
$897$	−58.3008	−	15.6216i	−1.94661	−	0.521592i
$898$	−14.4789	−	14.4789i	−0.483168	−	0.483168i
$899$	−27.0052			−0.900673
$900$	1.22280	−	27.9520i	0.0407601	−	0.931735i
$901$	11.5304	+	43.0320i	0.384133	+	1.43360i
$902$	16.3816			0.545447
$903$	62.4381	−	36.0486i	2.07781	−	1.19962i
$904$	1.98204	−	1.14433i	0.0659216	−	0.0380598i
$905$	−7.83385	+	12.9086i	−0.260406	+	0.429095i
$906$	−24.6243	+	6.59806i	−0.818088	+	0.219206i
$907$	−8.47862	−	4.89513i	−0.281528	−	0.162540i	0.352587	−	0.935779i	$-0.385302\pi$
$907$	−8.47862	−	4.89513i	−0.281528	−	0.162540i	−0.634115	+	0.773239i	$0.718635\pi$
$908$	6.46217	−	3.73094i	0.214455	−	0.123816i
$909$	−27.6594	−	47.9074i	−0.917403	−	1.58899i
$910$	3.89308	+	15.9126i	0.129054	+	0.527499i
$911$	26.4708	−	26.4708i	0.877016	−	0.877016i	−0.116209	−	0.993225i	$-0.537074\pi$
$911$	26.4708	−	26.4708i	0.877016	−	0.877016i	0.993225	+	0.116209i	$0.0370742\pi$
$912$	5.37647	−	9.31232i	0.178033	−	0.308362i
$913$	−27.0240	−	7.24107i	−0.894365	−	0.239644i
$914$		−	29.6504i		−	0.980747i
$915$	−16.1589	−	29.4567i	−0.534196	−	0.973809i
$916$	10.0881	−	5.82435i	0.333319	−	0.192442i
$917$	11.1103			0.366894
$918$	8.86421	+	33.0817i	0.292563	+	1.09186i
$919$	5.75180	−	5.75180i	0.189734	−	0.189734i	−0.605847	−	0.795581i	$-0.707166\pi$
$919$	5.75180	−	5.75180i	0.189734	−	0.189734i	0.795581	+	0.605847i	$0.207166\pi$
$920$	15.6443	+	0.342028i	0.515777	+	0.0112763i
$921$	9.10919	−	15.7776i	0.300158	−	0.519889i
$922$	−2.62586	−	9.79986i	−0.0864782	−	0.322741i
$923$	−23.9161	−	41.4240i	−0.787209	−	1.36349i
$924$	−21.2799			−0.700058
$925$	11.3723	+	28.2077i	0.373918	+	0.927462i
$926$	−14.6985			−0.483021
$927$	−13.2931	−	23.0244i	−0.436604	−	0.756220i
$928$	−1.41698	−	5.28823i	−0.0465146	−	0.173595i
$929$	24.4156	−	42.2890i	0.801048	−	1.38746i	−0.117878	−	0.993028i	$-0.537609\pi$
$929$	24.4156	−	42.2890i	0.801048	−	1.38746i	0.918927	−	0.394428i	$-0.129057\pi$
$930$	−32.3298	−	0.706820i	−1.06014	−	0.0231775i
$931$	−2.06947	+	2.06947i	−0.0678240	+	0.0678240i
$932$	−4.99723	−	18.6499i	−0.163690	−	0.610898i
$933$	40.2015			1.31614
$934$	−17.1891	+	9.92411i	−0.562443	+	0.324727i
$935$	14.1054	+	25.7134i	0.461297	+	0.840918i
$936$			16.4616i			0.538065i
$937$	36.0605	+	9.66238i	1.17805	+	0.315656i	0.794151	−	0.607721i	$-0.207916\pi$
$937$	36.0605	+	9.66238i	1.17805	+	0.315656i	0.383894	+	0.923377i	$0.374583\pi$
$938$	4.33483	−	7.50814i	0.141537	−	0.245150i
$939$	−32.8642	+	32.8642i	−1.07248	+	1.07248i
$940$	5.18893	+	21.2093i	0.169244	+	0.691772i
$941$	−7.24755	−	12.5531i	−0.236263	−	0.409220i	0.723376	−	0.690455i	$-0.242589\pi$
$941$	−7.24755	−	12.5531i	−0.236263	−	0.409220i	−0.959639	+	0.281234i	$0.909256\pi$
$942$	−4.04011	+	2.33256i	−0.131634	+	0.0759989i
$943$	−34.0643	−	19.6670i	−1.10929	−	0.640447i
$944$	5.34659	−	1.43261i	0.174017	−	0.0466276i
$945$	21.9870	−	36.2299i	0.715236	−	1.17856i
$946$	24.9231	−	14.3894i	0.810320	−	0.467839i
$947$	22.2299	−	12.8344i	0.722374	−	0.417063i	−0.0932520	−	0.995643i	$-0.529726\pi$
$947$	22.2299	−	12.8344i	0.722374	−	0.417063i	0.815626	+	0.578580i	$0.196393\pi$
$948$	14.9835			0.486641
$949$	−2.06569	−	7.70925i	−0.0670551	−	0.250253i
$950$	12.3879	+	13.5213i	0.401917	+	0.438690i
$951$	−65.1164			−2.11154
$952$	7.92484	+	7.92484i	0.256845	+	0.256845i
$953$	3.10274	+	0.831377i	0.100508	+	0.0269309i	0.308722	−	0.951152i	$-0.400099\pi$
$953$	3.10274	+	0.831377i	0.100508	+	0.0269309i	−0.208215	+	0.978083i	$0.566765\pi$
$954$	39.1699	−	39.1699i	1.26817	−	1.26817i
$955$	−40.5156	+	38.7820i	−1.31106	+	1.25496i
$956$	7.27440	+	7.27440i	0.235271	+	0.235271i
$957$	23.3905	−	40.5136i	0.756109	−	1.30962i
$958$	5.40725	−	1.44887i	0.174700	−	0.0468108i
$959$	−42.8457	−	24.7370i	−1.38356	−	0.798798i
$960$	−1.55795	−	6.36801i	−0.0502828	−	0.205527i
$961$		−	6.66896i		−	0.215128i
$962$	−7.40993	−	16.2880i	−0.238906	−	0.525146i
$963$	38.9095	+	38.9095i	1.25384	+	1.25384i
$964$	−21.9107	−	5.87095i	−0.705695	−	0.189090i
$965$	19.9732	+	0.436669i	0.642959	+	0.0140569i
$966$	44.2501	+	25.5478i	1.42372	+	0.821987i
$967$	−12.1299	−	7.00321i	−0.390072	−	0.225208i	0.292120	−	0.956382i	$-0.405639\pi$
$967$	−12.1299	−	7.00321i	−0.390072	−	0.225208i	−0.682191	+	0.731174i	$0.738973\pi$
$968$	2.50579			0.0805392
$969$	−41.9079	−	24.1956i	−1.34628	−	0.777273i
$970$	2.39359	−	1.31303i	0.0768534	−	0.0421590i
$971$	12.7441	+	22.0734i	0.408978	+	0.708370i	0.994775	−	0.102087i	$-0.0325520\pi$
$971$	12.7441	+	22.0734i	0.408978	+	0.708370i	−0.585798	+	0.810457i	$0.699219\pi$
$972$	−4.68955	+	4.68955i	−0.150417	+	0.150417i
$973$	14.4639	−	14.4639i	0.463690	−	0.463690i
$974$	−22.8811	+	13.2104i	−0.733157	+	0.423288i
$975$	−41.1276	−	12.9713i	−1.31714	−	0.415416i
$976$	−3.62383	−	3.62383i	−0.115996	−	0.115996i
$977$	4.54755	+	7.87658i	0.145489	+	0.251994i	0.929555	−	0.368683i	$-0.120191\pi$
$977$	4.54755	+	7.87658i	0.145489	+	0.251994i	−0.784066	+	0.620677i	$0.786858\pi$
$978$	15.7366	−	58.7297i	0.503200	−	1.87797i
$979$	4.56841	−	17.0495i	0.146007	−	0.544906i
$980$	−0.0390009	+	1.78390i	−0.00124584	+	0.0569844i
$981$	−10.7549	−	40.1378i	−0.343377	−	1.28150i
$982$	2.16565	+	3.75102i	0.0691087	+	0.119700i
$983$	15.3861	+	4.12271i	0.490742	+	0.131494i	0.495700	−	0.868494i	$-0.334912\pi$
$983$	15.3861	+	4.12271i	0.490742	+	0.131494i	−0.00495813	+	0.999988i	$0.501578\pi$
$984$	−4.26513	+	15.9177i	−0.135967	+	0.507437i
$985$	−26.8130	−	7.81651i	−0.854332	−	0.249055i
$986$	−23.7985	+	6.37678i	−0.757898	+	0.203078i
$987$	−18.4531	+	68.8680i	−0.587369	+	2.19209i
$988$	−7.62929	−	7.62929i	−0.242720	−	0.242720i
$989$	−69.1011			−2.19729
$990$	18.9197	−	31.1756i	0.601306	−	0.990826i
$991$	−7.37470	−	7.37470i	−0.234265	−	0.234265i	0.580205	−	0.814470i	$-0.302972\pi$
$991$	−7.37470	−	7.37470i	−0.234265	−	0.234265i	−0.814470	+	0.580205i	$0.802972\pi$
$992$	−4.76457	+	1.27666i	−0.151275	+	0.0405341i
$993$		−	42.6057i		−	1.35205i
$994$	10.4802	+	39.1127i	0.332412	+	1.24058i
$995$	−4.18189	+	4.00295i	−0.132575	+	0.126902i
$996$	14.0720	−	24.3735i	0.445890	−	0.772303i
$997$	−47.6514	+	27.5116i	−1.50914	+	0.871300i	−0.509192	+	0.860653i	$0.670056\pi$
$997$	−47.6514	+	27.5116i	−1.50914	+	0.871300i	−0.999943	+	0.0106473i	$0.996611\pi$
$998$	−7.54054	+	7.54054i	−0.238692	+	0.238692i
$999$	−16.2403	+	43.3498i	−0.513821	+	1.37153i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.q.e.103.2	yes	16
5.2	odd	4		370.2.r.e.177.1	yes	16
37.23	odd	12		370.2.r.e.23.1	yes	16
185.97	even	12	inner	370.2.q.e.97.2	✓	16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.q.e.97.2	✓	16	185.97	even	12	inner
370.2.q.e.103.2	yes	16	1.1	even	1	trivial
370.2.r.e.23.1	yes	16	37.23	odd	12
370.2.r.e.177.1	yes	16	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:	\( N \)	\(=\)	\( 370 = 2 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	370.q (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.500000 - 0.866025i) q^{2} +(-0.758819 - 2.83195i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(2.23553 + 0.0488750i) q^{5} +(-2.07313 + 2.07313i) q^{6} +(-0.644560 - 2.40553i) q^{7} +1.00000 q^{8} +(-4.84607 + 2.79788i) q^{9} +O(q^{10})\)	\(q+(-0.500000 - 0.866025i) q^{2} +(-0.758819 - 2.83195i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(2.23553 + 0.0488750i) q^{5} +(-2.07313 + 2.07313i) q^{6} +(-0.644560 - 2.40553i) q^{7} +1.00000 q^{8} +(-4.84607 + 2.79788i) q^{9} +(-1.07544 - 1.96047i) q^{10} -2.91448i q^{11} +(2.83195 + 0.758819i) q^{12} +(1.47090 - 2.54768i) q^{13} +(-1.76097 + 1.76097i) q^{14} +(-1.55795 - 6.36801i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-3.89735 + 2.25013i) q^{17} +(4.84607 + 2.79788i) q^{18} +(-3.54266 + 0.949252i) q^{19} +(-1.16009 + 1.91159i) q^{20} +(-6.32324 + 3.65072i) q^{21} +(-2.52402 + 1.45724i) q^{22} +6.99801 q^{23} +(-0.758819 - 2.83195i) q^{24} +(4.99522 + 0.218523i) q^{25} -2.94180 q^{26} +(5.38134 + 5.38134i) q^{27} +(2.40553 + 0.644560i) q^{28} +(-3.87126 + 3.87126i) q^{29} +(-4.73588 + 4.53323i) q^{30} +(3.48791 + 3.48791i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(-8.25367 + 2.21156i) q^{33} +(3.89735 + 2.25013i) q^{34} +(-1.32336 - 5.40914i) q^{35} -5.59575i q^{36} +(2.51884 + 5.53674i) q^{37} +(2.59340 + 2.59340i) q^{38} +(-8.33105 - 2.23230i) q^{39} +(2.23553 + 0.0488750i) q^{40} +(-4.86771 - 2.81037i) q^{41} +(6.32324 + 3.65072i) q^{42} -9.87439 q^{43} +(2.52402 + 1.45724i) q^{44} +(-10.9703 + 6.01790i) q^{45} +(-3.49901 - 6.06046i) q^{46} +(6.90478 - 6.90478i) q^{47} +(-2.07313 + 2.07313i) q^{48} +(0.691065 - 0.398986i) q^{49} +(-2.30836 - 4.43525i) q^{50} +(9.32965 + 9.32965i) q^{51} +(1.47090 + 2.54768i) q^{52} +(2.56216 - 9.56210i) q^{53} +(1.96971 - 7.35105i) q^{54} +(0.142445 - 6.51542i) q^{55} +(-0.644560 - 2.40553i) q^{56} +(5.37647 + 9.31232i) q^{57} +(5.28823 + 1.41698i) q^{58} +(-1.43261 + 5.34659i) q^{59} +(6.29384 + 1.83478i) q^{60} +(4.95025 - 1.32641i) q^{61} +(1.27666 - 4.76457i) q^{62} +(9.85395 + 9.85395i) q^{63} +1.00000 q^{64} +(3.41277 - 5.62353i) q^{65} +(6.04211 + 6.04211i) q^{66} +(-3.36263 + 0.901014i) q^{67} -4.50027i q^{68} +(-5.31023 - 19.8180i) q^{69} +(-4.02277 + 3.85064i) q^{70} +(8.12975 - 14.0811i) q^{71} +(-4.84607 + 2.79788i) q^{72} +(1.91840 - 1.91840i) q^{73} +(3.53553 - 4.94975i) q^{74} +(-3.17162 - 14.3120i) q^{75} +(0.949252 - 3.54266i) q^{76} +(-7.01087 + 1.87856i) q^{77} +(2.23230 + 8.33105i) q^{78} +(4.93645 - 1.32272i) q^{79} +(-1.07544 - 1.96047i) q^{80} +(2.76260 - 4.78497i) q^{81} +5.62075i q^{82} +(2.48451 - 9.27233i) q^{83} -7.30145i q^{84} +(-8.82263 + 4.83977i) q^{85} +(4.93719 + 8.55147i) q^{86} +(13.9008 + 8.02562i) q^{87} -2.91448i q^{88} +(5.84994 + 1.56749i) q^{89} +(10.6968 + 6.49160i) q^{90} +(-7.07660 - 1.89617i) q^{91} +(-3.49901 + 6.06046i) q^{92} +(7.23090 - 12.5243i) q^{93} +(-9.43211 - 2.52733i) q^{94} +(-7.96612 + 1.94894i) q^{95} +(2.83195 + 0.758819i) q^{96} +1.22093i q^{97} +(-0.691065 - 0.398986i) q^{98} +(8.15436 + 14.1238i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q - 8 q^{2} - 8 q^{3} - 8 q^{4} - 4 q^{5} - 8 q^{6} + 16 q^{8} - 24 q^{9}+O(q^{10}) \) 16 * q - 8 * q^2 - 8 * q^3 - 8 * q^4 - 4 * q^5 - 8 * q^6 + 16 * q^8 - 24 * q^9	\( 16 q - 8 q^{2} - 8 q^{3} - 8 q^{4} - 4 q^{5} - 8 q^{6} + 16 q^{8} - 24 q^{9} - 4 q^{10} + 16 q^{12} - 4 q^{13} + 8 q^{15} - 8 q^{16} + 24 q^{18} - 24 q^{19} + 8 q^{20} - 12 q^{21} - 8 q^{23} - 8 q^{24} + 32 q^{25} + 8 q^{26} + 16 q^{27} + 16 q^{29} - 4 q^{30} + 24 q^{31} - 8 q^{32} + 12 q^{33} - 20 q^{35} - 4 q^{40} - 36 q^{41} + 12 q^{42} - 16 q^{43} + 4 q^{45} + 4 q^{46} + 32 q^{47} - 8 q^{48} + 24 q^{49} - 16 q^{50} - 16 q^{51} - 4 q^{52} - 48 q^{53} - 8 q^{54} - 24 q^{55} + 20 q^{57} - 8 q^{58} - 8 q^{59} - 4 q^{60} + 8 q^{61} - 12 q^{62} + 16 q^{63} + 16 q^{64} + 24 q^{65} - 24 q^{66} - 8 q^{67} - 8 q^{69} + 28 q^{70} + 4 q^{71} - 24 q^{72} + 48 q^{73} - 36 q^{75} + 24 q^{76} - 60 q^{77} + 20 q^{79} - 4 q^{80} + 16 q^{81} + 24 q^{83} + 8 q^{85} + 8 q^{86} + 12 q^{87} - 8 q^{89} - 8 q^{90} - 8 q^{91} + 4 q^{92} + 36 q^{93} - 28 q^{94} + 28 q^{95} + 16 q^{96} - 24 q^{98} + 8 q^{99}+O(q^{100}) \) 16 * q - 8 * q^2 - 8 * q^3 - 8 * q^4 - 4 * q^5 - 8 * q^6 + 16 * q^8 - 24 * q^9 - 4 * q^10 + 16 * q^12 - 4 * q^13 + 8 * q^15 - 8 * q^16 + 24 * q^18 - 24 * q^19 + 8 * q^20 - 12 * q^21 - 8 * q^23 - 8 * q^24 + 32 * q^25 + 8 * q^26 + 16 * q^27 + 16 * q^29 - 4 * q^30 + 24 * q^31 - 8 * q^32 + 12 * q^33 - 20 * q^35 - 4 * q^40 - 36 * q^41 + 12 * q^42 - 16 * q^43 + 4 * q^45 + 4 * q^46 + 32 * q^47 - 8 * q^48 + 24 * q^49 - 16 * q^50 - 16 * q^51 - 4 * q^52 - 48 * q^53 - 8 * q^54 - 24 * q^55 + 20 * q^57 - 8 * q^58 - 8 * q^59 - 4 * q^60 + 8 * q^61 - 12 * q^62 + 16 * q^63 + 16 * q^64 + 24 * q^65 - 24 * q^66 - 8 * q^67 - 8 * q^69 + 28 * q^70 + 4 * q^71 - 24 * q^72 + 48 * q^73 - 36 * q^75 + 24 * q^76 - 60 * q^77 + 20 * q^79 - 4 * q^80 + 16 * q^81 + 24 * q^83 + 8 * q^85 + 8 * q^86 + 12 * q^87 - 8 * q^89 - 8 * q^90 - 8 * q^91 + 4 * q^92 + 36 * q^93 - 28 * q^94 + 28 * q^95 + 16 * q^96 - 24 * q^98 + 8 * q^99

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