LMFDB - Embedded newform 370.2.q.e.97.2

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			97.2
Root			$0.792206 + 1.03242i$ of defining polynomial
Character	$\chi$	$=$	370.97
Dual form			370.2.q.e.103.2

$q$-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 $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{5}{12}\right)$	$e\left(\frac{1}{4}\right)$

Coefficient data

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

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

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

$2$	−0.500000	+	0.866025i	−0.353553	+	0.612372i
$2$	−0.500000	+	0.866025i	−0.353553	+	0.612372i
$3$	−0.758819	+	2.83195i	−0.438104	+	1.63503i	0.295422	+	0.955367i	$0.404540\pi$
$3$	−0.758819	+	2.83195i	−0.438104	+	1.63503i	−0.733526	+	0.679661i	$0.762127\pi$
$4$	−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	0.730451	+	0.682965i	$0.239310\pi$
$7$	−0.644560	+	2.40553i	−0.243621	+	0.909205i	−0.974072	+	0.226240i	$0.927357\pi$
$8$	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	$0.144800\pi$
$11$			2.91448i			0.878750i	−0.898304	+	0.439375i	$0.855200\pi$
$12$	2.83195	−	0.758819i	0.817514	−	0.219052i
$13$	1.47090	+	2.54768i	0.407955	+	0.706599i	0.994660	−	0.103202i	$-0.0329087\pi$
$13$	1.47090	+	2.54768i	0.407955	+	0.706599i	−0.586706	+	0.809800i	$0.699575\pi$
$14$	−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	−0.0536448	−	0.998560i	$-0.517084\pi$
$17$	−3.89735	−	2.25013i	−0.945246	−	0.545738i	−0.891601	+	0.452822i	$0.850417\pi$
$18$	4.84607	−	2.79788i	1.14223	−	0.659466i
$19$	−3.54266	−	0.949252i	−0.812741	−	0.217773i	−0.171571	−	0.985172i	$-0.554884\pi$
$19$	−3.54266	−	0.949252i	−0.812741	−	0.217773i	−0.641170	+	0.767399i	$0.721551\pi$
$20$	−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	0.249501	−	0.968375i	$-0.419734\pi$
$29$	−3.87126	−	3.87126i	−0.718874	−	0.718874i	−0.968375	+	0.249501i	$0.919734\pi$
$30$	−4.73588	−	4.53323i	−0.864650	−	0.827651i
$31$	3.48791	−	3.48791i	0.626447	−	0.626447i	−0.320725	−	0.947172i	$-0.603927\pi$
$31$	3.48791	−	3.48791i	0.626447	−	0.626447i	0.947172	+	0.320725i	$0.103927\pi$
$32$	−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	−0.829371	−	0.558699i	$-0.811301\pi$
$41$	−4.86771	+	2.81037i	−0.760209	+	0.438907i	0.0691620	+	0.997605i	$0.477967\pi$
$42$	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	0.999974	+	0.00719165i	$0.00228919\pi$
$47$	6.90478	+	6.90478i	1.00717	+	1.00717i	0.00719165	+	0.999974i	$0.497711\pi$
$48$	−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	0.884293	+	0.466933i	$0.154641\pi$
$53$	2.56216	+	9.56210i	0.351939	+	1.31345i	−0.532354	+	0.846522i	$0.678692\pi$
$54$	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	−0.994302	−	0.106599i	$-0.966004\pi$
$59$	−1.43261	−	5.34659i	−0.186511	−	0.696067i	0.807792	−	0.589468i	$-0.200663\pi$
$60$	6.29384	−	1.83478i	0.812531	−	0.236869i
$61$	4.95025	+	1.32641i	0.633814	+	0.169830i	0.561400	−	0.827545i	$-0.310263\pi$
$61$	4.95025	+	1.32641i	0.633814	+	0.169830i	0.0724143	+	0.997375i	$0.476930\pi$
$62$	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	0.0474942	−	0.998872i	$-0.484876\pi$
$67$	−3.36263	−	0.901014i	−0.410810	−	0.110076i	−0.458305	+	0.888795i	$0.651543\pi$
$68$			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	0.710087	+	0.704114i	$0.248656\pi$
$71$	8.12975	+	14.0811i	0.964824	+	1.67112i	0.254737	+	0.967010i	$0.418011\pi$
$72$	−4.84607	−	2.79788i	−0.571114	−	0.329733i
$73$	1.91840	+	1.91840i	0.224532	+	0.224532i	0.810404	−	0.585872i	$-0.199248\pi$
$73$	1.91840	+	1.91840i	0.224532	+	0.224532i	−0.585872	+	0.810404i	$0.699248\pi$
$74$	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	0.525590	−	0.850738i	$-0.323845\pi$
$79$	4.93645	+	1.32272i	0.555394	+	0.148817i	0.0298047	+	0.999556i	$0.490511\pi$
$80$	−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	0.957360	+	0.288897i	$0.0932887\pi$
$83$	2.48451	+	9.27233i	0.272711	+	1.01777i	−0.684649	+	0.728873i	$0.740045\pi$
$84$			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	0.0649224	−	0.997890i	$-0.479320\pi$
$89$	5.84994	−	1.56749i	0.620092	−	0.166153i	0.555170	+	0.831737i	$0.312653\pi$
$90$	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	$-0.980257\pi$
$97$		−	1.22093i		−	0.123966i	0.998077	−	0.0619832i	$-0.0197425\pi$
$98$	−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	$-0.836325\pi$
$101$		−	9.88584i		−	0.983678i	0.870686	−	0.491839i	$-0.163675\pi$
$102$	3.41489	+	12.7445i	0.338124	+	1.26190i
$103$		−	4.75115i		−	0.468145i	−0.972219	−	0.234072i	$-0.924795\pi$
$103$		−	4.75115i		−	0.468145i	0.972219	−	0.234072i	$-0.0752052\pi$
$104$	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	0.726809	+	0.686840i	$0.241003\pi$
$107$	−2.54512	+	9.49852i	−0.246046	+	0.918256i	−0.972855	+	0.231416i	$0.925664\pi$
$108$	−7.35105	−	1.96971i	−0.707355	−	0.189535i
$109$	−1.92197	−	7.17290i	−0.184092	−	0.687039i	−0.994823	−	0.101621i	$-0.967597\pi$
$109$	−1.92197	−	7.17290i	−0.184092	−	0.687039i	0.810732	−	0.585418i	$-0.199070\pi$
$110$	−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	0.590322	−	0.807168i	$-0.299001\pi$
$113$	1.98204	+	1.14433i	0.186454	+	0.107649i	−0.403867	+	0.914818i	$0.632334\pi$
$114$	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	−0.931625	−	0.363420i	$-0.881609\pi$
$127$	−17.5434	+	4.70075i	−1.55673	+	0.417124i	−0.625101	+	0.780544i	$0.714942\pi$
$128$	−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	0.896962	−	0.442107i	$-0.145769\pi$
$131$	−1.15466	−	4.30925i	−0.100883	−	0.376501i	−0.997846	+	0.0656055i	$0.979102\pi$
$132$	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	0.974121	+	0.226025i	$0.0725731\pi$
$137$	14.0474	+	14.0474i	1.20015	+	1.20015i	0.226025	+	0.974121i	$0.427427\pi$
$138$	−14.5078	−	14.5078i	−1.23499	−	1.23499i
$139$	4.10679	−	7.11316i	0.348333	−	0.603331i	−0.637620	−	0.770351i	$-0.720081\pi$
$139$	4.10679	−	7.11316i	0.348333	−	0.603331i	0.985954	+	0.167020i	$0.0534144\pi$
$140$	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	$0.399193\pi$
$149$			23.1991i			1.90054i	−0.311427	+	0.950270i	$0.600807\pi$
$150$	−10.8088	−	9.90273i	−0.882534	−	0.808554i
$151$	7.53024	−	4.34759i	0.612802	−	0.353801i	−0.161259	−	0.986912i	$-0.551556\pi$
$151$	7.53024	−	4.34759i	0.612802	−	0.353801i	0.774061	+	0.633111i	$0.218222\pi$
$152$	−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	−0.196965	−	0.980410i	$-0.563109\pi$
$157$	1.53697	−	0.411829i	0.122663	−	0.0328675i	0.319628	+	0.947543i	$0.396442\pi$
$158$	−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	−0.411653	−	0.911341i	$-0.635048\pi$
$163$	−17.9598	−	10.3691i	−1.40672	−	0.812172i	−0.995071	+	0.0991683i	$0.968382\pi$
$164$	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	−0.0755830	−	0.997140i	$-0.524082\pi$
$167$	9.69438	−	5.59705i	0.750174	−	0.433113i	0.825757	+	0.564027i	$0.190748\pi$
$168$	−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	0.584331	−	0.811515i	$-0.301357\pi$
$173$	19.6786	−	5.27286i	1.49613	−	0.400888i	0.911803	+	0.410627i	$0.134690\pi$
$174$			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	0.984859	−	0.173355i	$-0.0554607\pi$
$179$	10.8572	+	10.8572i	0.811505	+	0.811505i	−0.173355	+	0.984859i	$0.555461\pi$
$180$	0.273492	+	12.5095i	0.0203849	+	0.932403i
$181$	−3.37639	−	5.84808i	−0.250965	−	0.434684i	0.712827	−	0.701340i	$-0.247415\pi$
$181$	−3.37639	−	5.84808i	−0.250965	−	0.434684i	−0.963792	+	0.266656i	$0.914081\pi$
$182$	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	−0.938771	−	0.344541i	$-0.888035\pi$
$191$	−17.7357	−	17.7357i	−1.28331	−	1.28331i	−0.344541	−	0.938771i	$-0.611965\pi$
$192$	−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	−0.661573	−	0.749881i	$-0.730111\pi$
$197$	−12.0647	+	3.23272i	−0.859572	+	0.230321i	−0.197999	+	0.980202i	$0.563444\pi$
$198$	8.15436	+	14.1238i	0.579505	+	1.00373i
$199$	−1.83062	−	1.83062i	−0.129769	−	0.129769i	0.639239	−	0.769008i	$-0.279250\pi$
$199$	−1.83062	−	1.83062i	−0.129769	−	0.129769i	−0.769008	+	0.639239i	$0.779250\pi$
$200$	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	−0.573814	−	0.818985i	$-0.694537\pi$
$223$	3.66119	−	3.66119i	0.245171	−	0.245171i	0.818985	+	0.573814i	$0.194537\pi$
$224$	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	−0.698882	−	0.715237i	$-0.746319\pi$
$227$	−6.46217	+	3.73094i	−0.428910	+	0.247631i	0.269972	+	0.962868i	$0.412985\pi$
$228$	−10.7529			−0.712131
$229$	−10.0881	+	5.82435i	−0.666638	+	0.384884i	−0.794802	−	0.606869i	$-0.792425\pi$
$229$	−10.0881	+	5.82435i	−0.666638	+	0.384884i	0.128163	+	0.991753i	$0.459092\pi$
$230$	−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	0.100519	−	0.994935i	$-0.467950\pi$
$233$	−13.6527	−	13.6527i	−0.894416	−	0.894416i	−0.994935	+	0.100519i	$0.967950\pi$
$234$	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	0.997007	+	0.0773135i	$0.0246342\pi$
$239$	2.66262	+	9.93702i	0.172230	+	0.642772i	−0.824776	+	0.565459i	$0.808699\pi$
$240$	−4.73588	−	4.53323i	−0.305700	−	0.292619i
$241$	5.87095	−	21.9107i	0.378181	−	1.41139i	−0.470460	−	0.882421i	$-0.655912\pi$
$241$	5.87095	−	21.9107i	0.378181	−	1.41139i	0.848641	−	0.528969i	$-0.177421\pi$
$242$	−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	−0.154202	+	0.988039i	$0.549281\pi$
$251$	−18.0965	+	18.0965i	−1.14224	+	1.14224i	−0.988039	+	0.154202i	$0.950719\pi$
$252$	−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	0.575596	−	0.817734i	$-0.304770\pi$
$257$	2.48829	+	1.43662i	0.155215	+	0.0896136i	−0.420381	+	0.907348i	$0.638103\pi$
$258$	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	−0.436249	−	0.899826i	$-0.643693\pi$
$263$	6.34852	−	23.6930i	0.391467	−	1.46097i	0.827716	−	0.561147i	$-0.189640\pi$
$264$	−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	$-0.639329\pi$
$269$		−	29.7099i		−	1.81145i	0.423871	−	0.905723i	$-0.360671\pi$
$270$	4.76263	+	16.3372i	0.289844	+	0.994253i
$271$	2.71569	−	4.70372i	0.164967	−	0.285730i	−0.771677	−	0.636015i	$-0.780582\pi$
$271$	2.71569	−	4.70372i	0.164967	−	0.285730i	0.936643	+	0.350284i	$0.113915\pi$
$272$	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	0.826830	−	0.562452i	$-0.190142\pi$
$277$	−1.22632	−	2.12406i	−0.0736827	−	0.127622i	−0.900513	+	0.434830i	$0.856809\pi$
$278$	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	−0.0379149	−	0.999281i	$-0.512072\pi$
$281$	7.18951	−	1.92642i	0.428890	−	0.114921i	0.466805	+	0.884360i	$0.345405\pi$
$282$		−	28.6290i		−	1.70483i
$283$	14.0483	−	8.11077i	0.835083	−	0.482136i	−0.0205067	−	0.999790i	$-0.506528\pi$
$283$	14.0483	−	8.11077i	0.835083	−	0.482136i	0.855590	+	0.517654i	$0.173195\pi$
$284$	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	0.708993	−	0.705216i	$-0.249150\pi$
$293$	16.6104	+	4.45075i	0.970391	+	0.260015i	0.261398	+	0.965231i	$0.415816\pi$
$294$	−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	−0.570514	−	0.821288i	$-0.693256\pi$
$307$	4.39393	−	4.39393i	0.250775	−	0.250775i	0.821288	+	0.570514i	$0.193256\pi$
$308$	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	−0.990563	−	0.137061i	$-0.956234\pi$
$311$	−3.54892	−	13.2447i	−0.201241	−	0.751041i	0.789322	−	0.613980i	$-0.210432\pi$
$312$	−8.33105	+	2.23230i	−0.471653	+	0.126379i
$313$	−7.92622	+	13.7286i	−0.448016	+	0.775987i	−0.998257	−	0.0590193i	$-0.981203\pi$
$313$	−7.92622	+	13.7286i	−0.448016	+	0.775987i	0.550241	+	0.835006i	$0.314536\pi$
$314$	−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	0.916445	+	0.400160i	$0.131046\pi$
$317$	5.74837	+	21.4532i	0.322861	+	1.20493i	−0.593585	+	0.804772i	$0.702288\pi$
$318$	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	0.148486	−	0.988915i	$-0.452560\pi$
$331$	14.0369	−	3.76116i	0.771535	−	0.206732i	0.623050	+	0.782182i	$0.285893\pi$
$332$	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	0.606969	−	0.794725i	$-0.292385\pi$
$337$	13.4975	+	3.61665i	0.735257	+	0.197012i	0.128288	+	0.991737i	$0.459052\pi$
$338$	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	−0.0309622	−	0.999521i	$-0.509857\pi$
$349$	−17.0386	−	9.83722i	−0.912053	−	0.526574i	−0.881091	+	0.472946i	$0.843190\pi$
$350$	−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	−0.228346	−	0.973580i	$-0.573332\pi$
$353$	−22.2766	−	12.8614i	−1.18566	−	0.684544i	−0.957318	+	0.289036i	$0.906665\pi$
$354$	−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	$-0.972387\pi$
$359$		−	3.28323i		−	0.173282i	0.996240	−	0.0866411i	$-0.0276133\pi$
$360$	−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	−0.983752	−	0.179535i	$-0.942541\pi$
$367$	−0.805186	+	3.00500i	−0.0420304	+	0.156859i	0.941721	+	0.336394i	$0.109207\pi$
$368$	−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	0.828782	+	0.559572i	$0.189035\pi$
$373$	−3.25911	+	12.1632i	−0.168750	+	0.629785i	−0.997532	+	0.0702128i	$0.977632\pi$
$374$	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	−0.171721	−	0.985146i	$-0.554933\pi$
$379$	−21.6238	−	12.4845i	−1.11074	−	0.641287i	−0.939022	+	0.343858i	$0.888266\pi$
$380$	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	−0.969265	−	0.246021i	$-0.920877\pi$
$383$	−13.6541	−	23.6496i	−0.697692	−	1.20844i	0.271572	−	0.962418i	$-0.412456\pi$
$384$	−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	0.0915491	−	0.995801i	$-0.470818\pi$
$389$	−6.45077	−	1.72848i	−0.327067	−	0.0876374i	−0.418616	+	0.908163i	$0.637485\pi$
$390$	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	−0.683771	−	0.729697i	$-0.739661\pi$
$397$	0.915064	−	0.915064i	0.0459258	−	0.0459258i	0.729697	+	0.683771i	$0.239661\pi$
$398$	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	−0.901062	−	0.433690i	$-0.857211\pi$
$401$	−9.35912	+	9.35912i	−0.467372	+	0.467372i	0.433690	+	0.901062i	$0.357211\pi$
$402$	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	−0.135621	−	0.990761i	$-0.543303\pi$
$409$	4.90038	−	1.31305i	0.242308	−	0.0649263i	0.377929	+	0.925835i	$0.376636\pi$
$410$	−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	0.871201	−	0.490927i	$-0.163342\pi$
$419$	18.0468	+	10.4193i	0.881645	+	0.509018i	0.0104448	+	0.999945i	$0.496675\pi$
$420$	0.356858	+	16.3226i	0.0174129	+	0.796463i
$421$	−3.36658	+	3.36658i	−0.164077	+	0.164077i	−0.784370	−	0.620293i	$-0.787014\pi$
$421$	−3.36658	+	3.36658i	−0.164077	+	0.164077i	0.620293	+	0.784370i	$0.287014\pi$
$422$	−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	0.0339977	−	0.999422i	$-0.489176\pi$
$431$	−9.05721	−	2.42687i	−0.436270	−	0.116898i	−0.470268	+	0.882524i	$0.655843\pi$
$432$	1.96971	+	7.35105i	0.0947676	+	0.353678i
$433$	22.5131	−	22.5131i	1.08191	−	1.08191i	0.0855769	−	0.996332i	$-0.472727\pi$
$433$	22.5131	−	22.5131i	1.08191	−	1.08191i	0.996332	−	0.0855769i	$-0.0272733\pi$
$434$	−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	−0.692942	−	0.720993i	$-0.743686\pi$
$439$	5.60810	−	20.9297i	0.267660	−	0.998920i	0.960602	−	0.277927i	$-0.0896474\pi$
$440$	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	0.0429303	−	0.999078i	$-0.486331\pi$
$443$	−20.1246	−	20.1246i	−0.956148	−	0.956148i	−0.999078	+	0.0429303i	$0.986331\pi$
$444$	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	0.693308	−	0.720642i	$-0.256153\pi$
$449$	19.7786	+	5.29965i	0.933409	+	0.250106i	0.240101	+	0.970748i	$0.422819\pi$
$450$	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	0.240350	−	0.970686i	$-0.422738\pi$
$457$	25.6780	−	14.8252i	1.20116	−	0.693493i	0.960814	+	0.277193i	$0.0894043\pi$
$458$		−	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	−0.0232792	−	0.999729i	$-0.507411\pi$
$461$	9.79986	−	2.62586i	0.456425	−	0.122299i	0.479704	+	0.877430i	$0.340744\pi$
$462$	10.6400	+	18.4290i	0.495016	+	0.857393i
$463$	7.34923	+	12.7292i	0.341548	+	0.591578i	0.984720	−	0.174143i	$-0.0557156\pi$
$463$	7.34923	+	12.7292i	0.341548	+	0.591578i	−0.643173	+	0.765721i	$0.722382\pi$
$464$	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	$0.151876\pi$
$467$			19.8482i			0.918466i	−0.888316	+	0.459233i	$0.848124\pi$
$468$	−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	0.924894	−	0.380225i	$-0.124154\pi$
$479$	−1.44887	−	5.40725i	−0.0662005	−	0.247064i	−0.991094	+	0.133162i	$0.957487\pi$
$480$	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	$0.204284\pi$
$487$			26.4208i			1.19724i	−0.801033	+	0.598620i	$0.795716\pi$
$488$	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	−0.999784	−	0.0207796i	$-0.993385\pi$
$499$	−2.76003	+	10.3006i	−0.123556	+	0.461117i	0.876228	+	0.481896i	$0.160052\pi$
$500$	−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	0.313592	+	0.949558i	$0.398468\pi$
$503$	−14.9266	+	25.8537i	−0.665545	+	1.15276i	−0.979137	+	0.203200i	$0.934866\pi$
$504$	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	−0.634243	−	0.773133i	$-0.718688\pi$
$509$	7.95122	−	13.7719i	0.352432	−	0.610429i	0.986675	+	0.162704i	$0.0520216\pi$
$510$	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	−0.737666	−	0.675166i	$-0.764072\pi$
$521$	−11.9100	+	6.87626i	−0.521788	+	0.301254i	0.215878	+	0.976420i	$0.430739\pi$
$522$	−29.5917	−	7.92906i	−1.29519	−	0.347046i
$523$	−15.8567	−	27.4646i	−0.693364	−	1.20094i	−0.970729	−	0.240177i	$-0.922794\pi$
$523$	−15.8567	−	27.4646i	−0.693364	−	1.20094i	0.277365	−	0.960765i	$-0.410539\pi$
$524$	−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	0.485692	−	0.874130i	$-0.338568\pi$
$541$	−9.03482	−	9.03482i	−0.388437	−	0.388437i	−0.874130	+	0.485692i	$0.838568\pi$
$542$	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	−0.750906	−	0.660409i	$-0.770383\pi$
$557$	4.63703	−	8.03158i	0.196477	−	0.340309i	0.947384	+	0.320100i	$0.103716\pi$
$558$	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	0.999913	−	0.0132206i	$-0.00420837\pi$
$569$	23.5363	+	23.5363i	0.986692	+	0.986692i	−0.0132206	+	0.999913i	$0.504208\pi$
$570$	12.4744	+	20.5552i	0.522496	+	0.860964i
$571$	−2.22675	+	3.85684i	−0.0931864	+	0.161404i	−0.908850	−	0.417123i	$-0.863039\pi$
$571$	−2.22675	+	3.85684i	−0.0931864	+	0.161404i	0.815664	+	0.578526i	$0.196372\pi$
$572$	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	−0.0939404	−	0.995578i	$-0.529946\pi$
$577$	−24.0954	−	13.9115i	−1.00311	−	0.579144i	−0.909166	+	0.416434i	$0.863280\pi$
$578$	−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	−0.999195	−	0.0401223i	$-0.987225\pi$
$587$	−12.9461	−	22.4234i	−0.534344	−	0.925511i	0.464850	−	0.885389i	$-0.346108\pi$
$588$	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	−0.652875	−	0.757466i	$-0.726437\pi$
$593$	2.54694	−	2.54694i	0.104590	−	0.104590i	0.757466	+	0.652875i	$0.226437\pi$
$594$	−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	0.0429982	−	0.999075i	$-0.486309\pi$
$599$	22.7545	−	13.1373i	0.929722	−	0.536775i	0.886724	+	0.462300i	$0.152976\pi$
$600$	−3.17162	+	14.3120i	−0.129481	+	0.584287i
$601$	−2.70181	+	4.67966i	−0.110209	+	0.190887i	−0.915854	−	0.401510i	$-0.868485\pi$
$601$	−2.70181	+	4.67966i	−0.110209	+	0.190887i	0.805645	+	0.592398i	$0.201819\pi$
$602$	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	−0.858875	−	0.512185i	$-0.828836\pi$
$607$	0.348070	−	0.602876i	0.0141277	−	0.0244700i	0.873003	+	0.487715i	$0.162170\pi$
$608$	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	−0.835356	−	0.549709i	$-0.814739\pi$
$613$	−31.7889	+	8.51781i	−1.28394	+	0.344031i	−0.448585	+	0.893740i	$0.648072\pi$
$614$	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	−0.990483	−	0.137635i	$-0.956050\pi$
$617$	−5.00558	−	18.6811i	−0.201517	−	0.752071i	0.788966	−	0.614437i	$-0.210617\pi$
$618$	−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	0.880132	+	0.474728i	$0.157454\pi$
$631$	8.92452	+	33.3068i	0.355280	+	1.32592i	−0.524853	+	0.851193i	$0.675880\pi$
$632$	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	−0.536692	−	0.843778i	$-0.680326\pi$
$641$	11.7067	−	20.2766i	0.462387	−	0.800879i	0.999079	+	0.0428997i	$0.0136596\pi$
$642$	24.9681	−	14.4153i	0.985410	−	0.568927i
$643$			20.0645i			0.791267i	0.918408	+	0.395633i	$0.129475\pi$
$643$			20.0645i			0.791267i	−0.918408	+	0.395633i	$0.870525\pi$
$644$	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	0.999835	−	0.0181670i	$-0.00578305\pi$
$647$	12.3158	+	21.3316i	0.484184	+	0.838632i	−0.515651	+	0.856799i	$0.672450\pi$
$648$	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	0.0472449	−	0.998883i	$-0.484956\pi$
$653$	23.9165	−	13.8082i	0.935926	−	0.540357i	0.888681	+	0.458526i	$0.151623\pi$
$654$	−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	0.907515	−	0.420020i	$-0.137977\pi$
$659$	2.31063	+	4.00213i	0.0900094	+	0.155901i	−0.817505	+	0.575921i	$0.804644\pi$
$660$	5.34743	+	18.3433i	0.208148	+	0.714011i
$661$	28.2133	+	7.55973i	1.09737	+	0.294039i	0.761693	−	0.647938i	$-0.224368\pi$
$661$	28.2133	+	7.55973i	1.09737	+	0.294039i	0.335677	+	0.941977i	$0.391035\pi$
$662$	−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	−0.00164915	−	0.999999i	$-0.500525\pi$
$673$	−13.0509	−	3.49699i	−0.503077	−	0.134799i	−0.501428	+	0.865200i	$0.667192\pi$
$674$	−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	−0.219575	+	0.975596i	$0.570467\pi$
$677$	−31.0974	+	31.0974i	−1.19517	+	1.19517i	−0.975596	+	0.219575i	$0.929533\pi$
$678$	−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	0.118785	+	0.992920i	$0.462100\pi$
$683$	−20.9205	+	36.2354i	−0.800502	+	1.38651i	−0.919286	+	0.393589i	$0.871233\pi$
$684$	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	0.691761	−	0.722126i	$-0.256835\pi$
$691$	10.8371	+	6.25679i	0.412262	+	0.238019i	−0.279499	+	0.960146i	$0.590168\pi$
$692$	−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	0.571296	−	0.820744i	$-0.306441\pi$
$701$	39.0904	−	10.4742i	1.47643	−	0.395607i	0.905129	+	0.425137i	$0.139774\pi$
$702$	−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	0.280634	−	0.959815i	$-0.409455\pi$
$709$	33.0295	−	33.0295i	1.24045	−	1.24045i	0.959815	−	0.280634i	$-0.0905449\pi$
$710$	−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	0.316075	−	0.948734i	$-0.397635\pi$
$719$	−9.31836	−	5.37996i	−0.347516	−	0.200639i	−0.663591	+	0.748096i	$0.730968\pi$
$720$	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	−0.999925	−	0.0122778i	$-0.996092\pi$
$727$	−13.7671	−	23.8454i	−0.510595	−	0.884377i	0.489329	−	0.872099i	$-0.337242\pi$
$728$	−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	−0.126170	−	0.992009i	$-0.540268\pi$
$733$	12.9712	−	48.4090i	0.479101	−	1.78803i	0.605271	−	0.796020i	$-0.293065\pi$
$734$	−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	−0.345073	−	0.938576i	$-0.612146\pi$
$743$	11.5317	−	43.0369i	0.423057	−	1.57887i	0.768130	−	0.640294i	$-0.221188\pi$
$744$	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	$0.253034\pi$
$751$			39.1233i			1.42763i	−0.700335	+	0.713814i	$0.746966\pi$
$752$	−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	−0.0835471	−	0.996504i	$-0.526625\pi$
$757$	−27.1922	−	15.6994i	−0.988318	−	0.570606i	−0.904771	+	0.425898i	$0.859958\pi$
$758$	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	0.428393	−	0.903593i	$-0.359080\pi$
$761$	−3.86054	−	2.22888i	−0.139945	−	0.0807970i	−0.568338	+	0.822795i	$0.692413\pi$
$762$	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	0.866250	−	0.499610i	$-0.166523\pi$
$769$	10.1672	+	10.1672i	0.366640	+	0.366640i	−0.499610	+	0.866250i	$0.666523\pi$
$770$	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	0.513318	−	0.858198i	$-0.328416\pi$
$773$	14.7012	+	3.93918i	0.528766	+	0.141682i	0.0154475	+	0.999881i	$0.495083\pi$
$774$	−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	0.741139	−	0.671352i	$-0.234286\pi$
$787$	1.95778	+	1.95778i	0.0697872	+	0.0697872i	−0.671352	+	0.741139i	$0.734286\pi$
$788$	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	−0.968804	−	0.247829i	$-0.920283\pi$
$797$	−7.61609	+	13.1915i	−0.269776	+	0.467265i	0.699028	+	0.715094i	$0.253616\pi$
$798$	−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	0.854761	+	0.519021i	$0.173703\pi$
$809$	−4.12406	+	15.3912i	−0.144994	+	0.541126i	−0.999756	+	0.0221047i	$0.992963\pi$
$810$	−12.3518	+	0.270044i	−0.433997	+	0.00948838i
$811$	−13.6858	−	23.7045i	−0.480573	−	0.832377i	0.519179	−	0.854666i	$-0.326238\pi$
$811$	−13.6858	−	23.7045i	−0.480573	−	0.832377i	−0.999752	+	0.0222890i	$0.992905\pi$
$812$	−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	0.540658	−	0.841242i	$-0.318175\pi$
$821$	−13.1291	−	22.7402i	−0.458208	−	0.793640i	−0.998866	+	0.0476025i	$0.984842\pi$
$822$		−	58.2440i		−	2.03149i
$823$	−14.2572	−	53.2085i	−0.496974	−	1.85473i	−0.518683	−	0.854967i	$-0.673577\pi$
$823$	−14.2572	−	53.2085i	−0.496974	−	1.85473i	0.0217092	−	0.999764i	$-0.493089\pi$
$824$		−	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	0.532569	−	0.846387i	$-0.321227\pi$
$827$	44.0522	−	25.4336i	1.53185	−	0.884412i	0.999277	−	0.0380248i	$-0.0121066\pi$
$828$			39.1592i			1.36087i
$829$	21.7554	−	5.82935i	0.755597	−	0.202462i	0.139598	−	0.990208i	$-0.455419\pi$
$829$	21.7554	−	5.82935i	0.755597	−	0.202462i	0.615999	+	0.787747i	$0.288752\pi$
$830$	−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	−0.897615	−	0.440781i	$-0.854702\pi$
$839$	−1.94301	+	3.36539i	−0.0670802	+	0.116186i	0.830535	+	0.556967i	$0.188035\pi$
$840$	−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	0.735751	−	0.677252i	$-0.236829\pi$
$853$	15.1028	+	8.71959i	0.517109	+	0.298553i	−0.218642	+	0.975805i	$0.570163\pi$
$854$	−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	$-0.777735\pi$
$857$		−	37.6407i		−	1.28578i	0.765957	−	0.642891i	$-0.222265\pi$
$858$	24.2807	+	6.50599i	0.828929	+	0.222111i
$859$	−2.71199	+	2.71199i	−0.0925318	+	0.0925318i	−0.751857	−	0.659326i	$-0.770842\pi$
$859$	−2.71199	+	2.71199i	−0.0925318	+	0.0925318i	0.659326	+	0.751857i	$0.270842\pi$
$860$	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	−0.988237	−	0.152929i	$-0.951129\pi$
$863$	−6.13575	−	22.8989i	−0.208863	−	0.779488i	0.779374	−	0.626559i	$-0.215537\pi$
$864$	−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	0.966966	−	0.254904i	$-0.0820437\pi$
$877$	21.0872	+	21.0872i	0.712063	+	0.712063i	−0.254904	+	0.966966i	$0.582044\pi$
$878$	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	−0.377216	−	0.926125i	$-0.623119\pi$
$881$	7.01150	−	4.04809i	0.236224	−	0.136384i	0.613440	+	0.789741i	$0.289785\pi$
$882$	4.46526			0.150353
$883$	−5.09751	+	2.94305i	−0.171545	+	0.0990414i	−0.583314	−	0.812247i	$-0.698244\pi$
$883$	−5.09751	+	2.94305i	−0.171545	+	0.0990414i	0.411769	+	0.911288i	$0.364911\pi$
$884$	−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	−0.425271	−	0.905066i	$-0.639821\pi$
$887$	14.2895	−	14.2895i	0.479794	−	0.479794i	0.905066	+	0.425271i	$0.139821\pi$
$888$	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	−0.634115	−	0.773239i	$-0.718635\pi$
$907$	−8.47862	+	4.89513i	−0.281528	+	0.162540i	0.352587	+	0.935779i	$0.385302\pi$
$908$	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	0.993225	−	0.116209i	$-0.0370742\pi$
$911$	26.4708	+	26.4708i	0.877016	+	0.877016i	−0.116209	+	0.993225i	$0.537074\pi$
$912$	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	0.795581	−	0.605847i	$-0.207166\pi$
$919$	5.75180	+	5.75180i	0.189734	+	0.189734i	−0.605847	+	0.795581i	$0.707166\pi$
$920$	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	0.918927	+	0.394428i	$0.129057\pi$
$929$	24.4156	+	42.2890i	0.801048	+	1.38746i	−0.117878	+	0.993028i	$0.537609\pi$
$930$	−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	0.383894	−	0.923377i	$-0.374583\pi$
$937$	36.0605	−	9.66238i	1.17805	−	0.315656i	0.794151	+	0.607721i	$0.207916\pi$
$938$	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	−0.959639	−	0.281234i	$-0.909256\pi$
$941$	−7.24755	+	12.5531i	−0.236263	+	0.409220i	0.723376	+	0.690455i	$0.242589\pi$
$942$	−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	0.815626	−	0.578580i	$-0.196393\pi$
$947$	22.2299	+	12.8344i	0.722374	+	0.417063i	−0.0932520	+	0.995643i	$0.529726\pi$
$948$	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	−0.208215	−	0.978083i	$-0.566765\pi$
$953$	3.10274	−	0.831377i	0.100508	−	0.0269309i	0.308722	+	0.951152i	$0.400099\pi$
$954$	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	−0.682191	−	0.731174i	$-0.738973\pi$
$967$	−12.1299	+	7.00321i	−0.390072	+	0.225208i	0.292120	+	0.956382i	$0.405639\pi$
$968$	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	−0.585798	−	0.810457i	$-0.699219\pi$
$971$	12.7441	−	22.0734i	0.408978	−	0.708370i	0.994775	+	0.102087i	$0.0325520\pi$
$972$	−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	−0.784066	−	0.620677i	$-0.786858\pi$
$977$	4.54755	−	7.87658i	0.145489	−	0.251994i	0.929555	+	0.368683i	$0.120191\pi$
$978$	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	−0.00495813	−	0.999988i	$-0.501578\pi$
$983$	15.3861	−	4.12271i	0.490742	−	0.131494i	0.495700	+	0.868494i	$0.334912\pi$
$984$	−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	−0.814470	−	0.580205i	$-0.802972\pi$
$991$	−7.37470	+	7.37470i	−0.234265	+	0.234265i	0.580205	+	0.814470i	$0.302972\pi$
$992$	−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	−0.999943	−	0.0106473i	$-0.996611\pi$
$997$	−47.6514	−	27.5116i	−1.50914	−	0.871300i	−0.509192	−	0.860653i	$-0.670056\pi$
$998$	−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.97.2	✓	16
5.3	odd	4		370.2.r.e.23.1	yes	16
37.29	odd	12		370.2.r.e.177.1	yes	16
185.103	even	12	inner	370.2.q.e.103.2	yes	16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.q.e.97.2	✓	16	1.1	even	1	trivial
370.2.q.e.103.2	yes	16	185.103	even	12	inner
370.2.r.e.23.1	yes	16	5.3	odd	4
370.2.r.e.177.1	yes	16	37.29	odd	12

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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