LMFDB - Embedded newform 370.2.r.d.193.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(23,370)]

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([9, 5]))

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

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

chi := DirichletCharacter("370.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.r (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:	$12$
Relative dimension:	$3$ over $\Q(\zeta_{12})$
Coefficient field:	$\mathbb{Q}[x]/(x^{12} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} - 2x^{11} - 4x^{10} + 6x^{8} + 44x^{7} + 56x^{6} + 32x^{5} + 92x^{4} - 16x^{3} + 36x^{2} - 24x + 4 $ x^12 - 2x^11 - 4x^10 + 6x^8 + 44x^7 + 56x^6 + 32x^5 + 92x^4 - 16x^3 + 36x^2 - 24x + 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			193.1
Root			$-0.208144 + 0.776804i$ of defining polynomial
Character	$\chi$	$=$	370.193
Dual form			370.2.r.d.347.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.866025 + 0.500000i) q^{2} +(-0.745286 - 2.78144i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-2.22784 + 0.191679i) q^{5} +(2.03616 + 2.03616i) q^{6} +(1.31478 + 4.90683i) q^{7} +1.00000i q^{8} +(-4.58291 + 2.64594i) q^{9} +O(q^{10})$	\(q+(-0.866025 + 0.500000i) q^{2} +(-0.745286 - 2.78144i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-2.22784 + 0.191679i) q^{5} +(2.03616 + 2.03616i) q^{6} +(1.31478 + 4.90683i) q^{7} +1.00000i q^{8} +(-4.58291 + 2.64594i) q^{9} +(1.83352 - 1.27992i) q^{10} +0.446393i q^{11} +(-2.78144 - 0.745286i) q^{12} +(4.01012 + 2.31524i) q^{13} +(-3.59205 - 3.59205i) q^{14} +(2.19352 + 6.05375i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(0.309305 + 0.535731i) q^{17} +(2.64594 - 4.58291i) q^{18} +(-1.21232 - 4.52445i) q^{19} +(-0.947920 + 2.02520i) q^{20} +(12.6682 - 7.31397i) q^{21} +(-0.223196 - 0.386587i) q^{22} +2.27723i q^{23} +(2.78144 - 0.745286i) q^{24} +(4.92652 - 0.854057i) q^{25} -4.63048 q^{26} +(4.66664 + 4.66664i) q^{27} +(4.90683 + 1.31478i) q^{28} +(4.05041 + 4.05041i) q^{29} +(-4.92652 - 4.14594i) q^{30} +(0.176164 - 0.176164i) q^{31} +(0.866025 + 0.500000i) q^{32} +(1.24162 - 0.332690i) q^{33} +(-0.535731 - 0.309305i) q^{34} +(-3.86965 - 10.6796i) q^{35} +5.29189i q^{36} +(4.81138 + 3.72164i) q^{37} +(3.31213 + 3.31213i) q^{38} +(3.45103 - 12.8794i) q^{39} +(-0.191679 - 2.22784i) q^{40} +(-3.38733 - 1.95567i) q^{41} +(-7.31397 + 12.6682i) q^{42} +8.15549i q^{43} +(0.386587 + 0.223196i) q^{44} +(9.70280 - 6.77317i) q^{45} +(-1.13862 - 1.97214i) q^{46} +(-6.46505 + 6.46505i) q^{47} +(-2.03616 + 2.03616i) q^{48} +(-16.2861 + 9.40279i) q^{49} +(-3.83946 + 3.20289i) q^{50} +(1.25959 - 1.25959i) q^{51} +(4.01012 - 2.31524i) q^{52} +(-2.16636 + 8.08498i) q^{53} +(-6.37475 - 1.70811i) q^{54} +(-0.0855639 - 0.994490i) q^{55} +(-4.90683 + 1.31478i) q^{56} +(-11.6810 + 6.74402i) q^{57} +(-5.53296 - 1.48255i) q^{58} +(3.85140 + 1.03198i) q^{59} +(6.33946 + 1.12723i) q^{60} +(2.05254 + 7.66019i) q^{61} +(-0.0644806 + 0.240645i) q^{62} +(-19.0087 - 19.0087i) q^{63} -1.00000 q^{64} +(-9.37767 - 4.38933i) q^{65} +(-0.908926 + 0.908926i) q^{66} +(13.2100 - 3.53962i) q^{67} +0.618609 q^{68} +(6.33399 - 1.69719i) q^{69} +(8.69101 + 7.31397i) q^{70} +(7.60300 - 13.1688i) q^{71} +(-2.64594 - 4.58291i) q^{72} +(-0.847559 + 0.847559i) q^{73} +(-6.02760 - 0.817343i) q^{74} +(-6.04718 - 13.0663i) q^{75} +(-4.52445 - 1.21232i) q^{76} +(-2.19037 + 0.586908i) q^{77} +(3.45103 + 12.8794i) q^{78} +(2.81870 + 10.5195i) q^{79} +(1.27992 + 1.83352i) q^{80} +(1.56420 - 2.70927i) q^{81} +3.91135 q^{82} +(2.67336 - 9.97712i) q^{83} -14.6279i q^{84} +(-0.791768 - 1.13423i) q^{85} +(-4.07774 - 7.06286i) q^{86} +(8.24727 - 14.2847i) q^{87} -0.446393 q^{88} +(-0.257339 + 0.960403i) q^{89} +(-5.01628 + 10.7171i) q^{90} +(-6.08807 + 22.7210i) q^{91} +(1.97214 + 1.13862i) q^{92} +(-0.621284 - 0.358698i) q^{93} +(2.36637 - 8.83142i) q^{94} +(3.56810 + 9.84737i) q^{95} +(0.745286 - 2.78144i) q^{96} -3.22099 q^{97} +(9.40279 - 16.2861i) q^{98} +(-1.18113 - 2.04578i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q + 6 q^{3} + 6 q^{4} - 8 q^{5} + 6 q^{6} - 4 q^{7} - 18 q^{9}+O(q^{10}) $ 12 * q + 6 * q^3 + 6 * q^4 - 8 * q^5 + 6 * q^6 - 4 * q^7 - 18 * q^9	$ 12 q + 6 q^{3} + 6 q^{4} - 8 q^{5} + 6 q^{6} - 4 q^{7} - 18 q^{9} - 4 q^{10} - 6 q^{13} - 8 q^{14} - 14 q^{15} - 6 q^{16} + 12 q^{17} + 10 q^{18} + 8 q^{19} - 4 q^{20} + 54 q^{21} - 10 q^{22} - 10 q^{25} - 18 q^{27} + 4 q^{28} - 4 q^{29} + 10 q^{30} - 2 q^{31} - 28 q^{33} - 12 q^{34} + 14 q^{35} + 12 q^{37} + 16 q^{38} + 30 q^{39} - 2 q^{40} + 12 q^{41} - 22 q^{42} - 6 q^{44} + 24 q^{45} + 2 q^{46} - 28 q^{47} - 6 q^{48} - 24 q^{49} + 16 q^{50} - 8 q^{51} - 6 q^{52} + 14 q^{53} + 18 q^{54} - 32 q^{55} - 4 q^{56} - 72 q^{57} - 10 q^{58} + 14 q^{60} + 24 q^{61} - 16 q^{62} + 8 q^{63} - 12 q^{64} - 26 q^{65} + 8 q^{66} + 18 q^{67} + 24 q^{68} + 40 q^{69} + 6 q^{70} - 10 q^{72} + 28 q^{73} - 38 q^{74} - 30 q^{75} - 8 q^{76} + 26 q^{77} + 30 q^{78} + 56 q^{79} + 4 q^{80} + 4 q^{81} - 28 q^{82} + 14 q^{83} + 28 q^{85} - 22 q^{86} - 10 q^{87} - 20 q^{88} + 2 q^{89} + 42 q^{90} + 38 q^{91} - 18 q^{92} + 18 q^{93} + 16 q^{94} - 56 q^{95} - 6 q^{96} - 44 q^{97} + 22 q^{98} - 28 q^{99}+O(q^{100}) $ 12 * q + 6 * q^3 + 6 * q^4 - 8 * q^5 + 6 * q^6 - 4 * q^7 - 18 * q^9 - 4 * q^10 - 6 * q^13 - 8 * q^14 - 14 * q^15 - 6 * q^16 + 12 * q^17 + 10 * q^18 + 8 * q^19 - 4 * q^20 + 54 * q^21 - 10 * q^22 - 10 * q^25 - 18 * q^27 + 4 * q^28 - 4 * q^29 + 10 * q^30 - 2 * q^31 - 28 * q^33 - 12 * q^34 + 14 * q^35 + 12 * q^37 + 16 * q^38 + 30 * q^39 - 2 * q^40 + 12 * q^41 - 22 * q^42 - 6 * q^44 + 24 * q^45 + 2 * q^46 - 28 * q^47 - 6 * q^48 - 24 * q^49 + 16 * q^50 - 8 * q^51 - 6 * q^52 + 14 * q^53 + 18 * q^54 - 32 * q^55 - 4 * q^56 - 72 * q^57 - 10 * q^58 + 14 * q^60 + 24 * q^61 - 16 * q^62 + 8 * q^63 - 12 * q^64 - 26 * q^65 + 8 * q^66 + 18 * q^67 + 24 * q^68 + 40 * q^69 + 6 * q^70 - 10 * q^72 + 28 * q^73 - 38 * q^74 - 30 * q^75 - 8 * q^76 + 26 * q^77 + 30 * q^78 + 56 * q^79 + 4 * q^80 + 4 * q^81 - 28 * q^82 + 14 * q^83 + 28 * q^85 - 22 * q^86 - 10 * q^87 - 20 * q^88 + 2 * q^89 + 42 * q^90 + 38 * q^91 - 18 * q^92 + 18 * q^93 + 16 * q^94 - 56 * q^95 - 6 * q^96 - 44 * q^97 + 22 * q^98 - 28 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−0.866025	+	0.500000i	−0.612372	+	0.353553i
$2$	−0.866025	+	0.500000i	−0.612372	+	0.353553i
$3$	−0.745286	−	2.78144i	−0.430291	−	1.60587i	−0.752090	−	0.659060i	$-0.770954\pi$
$3$	−0.745286	−	2.78144i	−0.430291	−	1.60587i	0.321799	−	0.946808i	$-0.395712\pi$
$4$	0.500000	−	0.866025i	0.250000	−	0.433013i
$5$	−2.22784	+	0.191679i	−0.996319	+	0.0857213i
$5$	−2.22784	+	0.191679i	−0.996319	+	0.0857213i
$6$	2.03616	+	2.03616i	0.831258	+	0.831258i
$7$	1.31478	+	4.90683i	0.496940	+	1.85461i	0.518881	+	0.854846i	$0.326349\pi$
$7$	1.31478	+	4.90683i	0.496940	+	1.85461i	−0.0219412	+	0.999759i	$0.506985\pi$
$8$			1.00000i			0.353553i
$9$	−4.58291	+	2.64594i	−1.52764	+	0.881981i
$10$	1.83352	−	1.27992i	0.579811	−	0.404745i
$11$			0.446393i			0.134592i	0.997733	+	0.0672962i	$0.0214373\pi$
$11$			0.446393i			0.134592i	−0.997733	+	0.0672962i	$0.978563\pi$
$12$	−2.78144	−	0.745286i	−0.802934	−	0.215145i
$13$	4.01012	+	2.31524i	1.11221	+	0.642133i	0.939400	−	0.342823i	$-0.111383\pi$
$13$	4.01012	+	2.31524i	1.11221	+	0.642133i	0.172806	+	0.984956i	$0.444717\pi$
$14$	−3.59205	−	3.59205i	−0.960014	−	0.960014i
$15$	2.19352	+	6.05375i	0.566364	+	1.56307i
$16$	−0.500000	−	0.866025i	−0.125000	−	0.216506i
$17$	0.309305	+	0.535731i	0.0750174	+	0.129934i	0.901094	−	0.433624i	$-0.142765\pi$
$17$	0.309305	+	0.535731i	0.0750174	+	0.129934i	−0.826076	+	0.563558i	$0.809432\pi$
$18$	2.64594	−	4.58291i	0.623655	−	1.08020i
$19$	−1.21232	−	4.52445i	−0.278126	−	1.03798i	−0.953717	−	0.300704i	$-0.902778\pi$
$19$	−1.21232	−	4.52445i	−0.278126	−	1.03798i	0.675591	−	0.737276i	$-0.263888\pi$
$20$	−0.947920	+	2.02520i	−0.211961	+	0.452849i
$21$	12.6682	−	7.31397i	2.76442	−	1.59604i
$22$	−0.223196	−	0.386587i	−0.0475856	−	0.0824207i
$23$			2.27723i			0.474836i	0.971408	+	0.237418i	$0.0763010\pi$
$23$			2.27723i			0.474836i	−0.971408	+	0.237418i	$0.923699\pi$
$24$	2.78144	−	0.745286i	0.567760	−	0.152131i
$25$	4.92652	−	0.854057i	0.985304	−	0.170811i
$26$	−4.63048			−0.908113
$27$	4.66664	+	4.66664i	0.898096	+	0.898096i
$28$	4.90683	+	1.31478i	0.927303	+	0.248470i
$29$	4.05041	+	4.05041i	0.752142	+	0.752142i	0.974879	−	0.222737i	$-0.0714991\pi$
$29$	4.05041	+	4.05041i	0.752142	+	0.752142i	−0.222737	+	0.974879i	$0.571499\pi$
$30$	−4.92652	−	4.14594i	−0.899455	−	0.756942i
$31$	0.176164	−	0.176164i	0.0316400	−	0.0316400i	−0.691110	−	0.722750i	$-0.742878\pi$
$31$	0.176164	−	0.176164i	0.0316400	−	0.0316400i	0.722750	+	0.691110i	$0.242878\pi$
$32$	0.866025	+	0.500000i	0.153093	+	0.0883883i
$33$	1.24162	−	0.332690i	0.216138	−	0.0579139i
$34$	−0.535731	−	0.309305i	−0.0918771	−	0.0530453i
$35$	−3.86965	−	10.6796i	−0.654090	−	1.80518i
$36$			5.29189i			0.881981i
$37$	4.81138	+	3.72164i	0.790986	+	0.611834i
$37$	4.81138	+	3.72164i	0.790986	+	0.611834i
$38$	3.31213	+	3.31213i	0.537298	+	0.537298i
$39$	3.45103	−	12.8794i	0.552608	−	2.06236i
$40$	−0.191679	−	2.22784i	−0.0303070	−	0.352252i
$41$	−3.38733	−	1.95567i	−0.529012	−	0.305425i	0.211602	−	0.977356i	$-0.432132\pi$
$41$	−3.38733	−	1.95567i	−0.529012	−	0.305425i	−0.740614	+	0.671931i	$0.765465\pi$
$42$	−7.31397	+	12.6682i	−1.12857	+	1.95474i
$43$			8.15549i			1.24370i	0.783136	+	0.621850i	$0.213619\pi$
$43$			8.15549i			1.24370i	−0.783136	+	0.621850i	$0.786381\pi$
$44$	0.386587	+	0.223196i	0.0582803	+	0.0336481i
$45$	9.70280	−	6.77317i	1.44641	−	1.00969i
$46$	−1.13862	−	1.97214i	−0.167880	−	0.290776i
$47$	−6.46505	+	6.46505i	−0.943025	+	0.943025i	−0.998462	−	0.0554376i	$-0.982345\pi$
$47$	−6.46505	+	6.46505i	−0.943025	+	0.943025i	0.0554376	+	0.998462i	$0.482345\pi$
$48$	−2.03616	+	2.03616i	−0.293894	+	0.293894i
$49$	−16.2861	+	9.40279i	−2.32659	+	1.34326i
$50$	−3.83946	+	3.20289i	−0.542982	+	0.452958i
$51$	1.25959	−	1.25959i	0.176377	−	0.176377i
$52$	4.01012	−	2.31524i	0.556103	−	0.321066i
$53$	−2.16636	+	8.08498i	−0.297573	+	1.11056i	0.641580	+	0.767057i	$0.278279\pi$
$53$	−2.16636	+	8.08498i	−0.297573	+	1.11056i	−0.939152	+	0.343501i	$0.888387\pi$
$54$	−6.37475	−	1.70811i	−0.867494	−	0.232444i
$55$	−0.0855639	−	0.994490i	−0.0115374	−	0.134097i
$56$	−4.90683	+	1.31478i	−0.655702	+	0.175695i
$57$	−11.6810	+	6.74402i	−1.54718	+	0.893267i
$58$	−5.53296	−	1.48255i	−0.726513	−	0.194669i
$59$	3.85140	+	1.03198i	0.501410	+	0.134352i	0.500654	−	0.865647i	$-0.333093\pi$
$59$	3.85140	+	1.03198i	0.501410	+	0.134352i	0.000755498		1.00000i	$0.499760\pi$
$60$	6.33946	+	1.12723i	0.818421	+	0.145525i
$61$	2.05254	+	7.66019i	0.262801	+	0.980787i	0.963583	+	0.267411i	$0.0861681\pi$
$61$	2.05254	+	7.66019i	0.262801	+	0.980787i	−0.700782	+	0.713376i	$0.747165\pi$
$62$	−0.0644806	+	0.240645i	−0.00818904	+	0.0305619i
$63$	−19.0087	−	19.0087i	−2.39487	−	2.39487i
$64$	−1.00000			−0.125000
$65$	−9.37767	−	4.38933i	−1.16316	−	0.544429i
$66$	−0.908926	+	0.908926i	−0.111881	+	0.111881i
$67$	13.2100	−	3.53962i	1.61386	−	0.432433i	0.664673	−	0.747135i	$-0.268571\pi$
$67$	13.2100	−	3.53962i	1.61386	−	0.432433i	0.949191	+	0.314701i	$0.101904\pi$
$68$	0.618609			0.0750174
$69$	6.33399	−	1.69719i	0.762523	−	0.204317i
$70$	8.69101	+	7.31397i	1.03877	+	0.874187i
$71$	7.60300	−	13.1688i	0.902310	−	1.56285i	0.0778211	−	0.996967i	$-0.475204\pi$
$71$	7.60300	−	13.1688i	0.902310	−	1.56285i	0.824488	−	0.565879i	$-0.191463\pi$
$72$	−2.64594	−	4.58291i	−0.311827	−	0.540101i
$73$	−0.847559	+	0.847559i	−0.0991993	+	0.0991993i	−0.754965	−	0.655765i	$-0.772346\pi$
$73$	−0.847559	+	0.847559i	−0.0991993	+	0.0991993i	0.655765	+	0.754965i	$0.272346\pi$
$74$	−6.02760	−	0.817343i	−0.700694	−	0.0950142i
$75$	−6.04718	−	13.0663i	−0.698268	−	1.50877i
$76$	−4.52445	−	1.21232i	−0.518990	−	0.139063i
$77$	−2.19037	+	0.586908i	−0.249616	+	0.0668844i
$78$	3.45103	+	12.8794i	0.390753	+	1.45831i
$79$	2.81870	+	10.5195i	0.317128	+	1.18354i	0.921992	+	0.387210i	$0.126561\pi$
$79$	2.81870	+	10.5195i	0.317128	+	1.18354i	−0.604863	+	0.796329i	$0.706772\pi$
$80$	1.27992	+	1.83352i	0.143099	+	0.204994i
$81$	1.56420	−	2.70927i	0.173800	−	0.301030i
$82$	3.91135			0.431936
$83$	2.67336	−	9.97712i	0.293440	−	1.09513i	−0.649009	−	0.760781i	$-0.724816\pi$
$83$	2.67336	−	9.97712i	0.293440	−	1.09513i	0.942449	−	0.334351i	$-0.108517\pi$
$84$		−	14.6279i		−	1.59604i
$85$	−0.791768	−	1.13423i	−0.0858793	−	0.123025i
$86$	−4.07774	−	7.06286i	−0.439715	−	0.761608i
$87$	8.24727	−	14.2847i	0.884200	−	1.53148i
$88$	−0.446393			−0.0475856
$89$	−0.257339	+	0.960403i	−0.0272779	+	0.101803i	−0.978223	−	0.207558i	$-0.933448\pi$
$89$	−0.257339	+	0.960403i	−0.0272779	+	0.101803i	0.950945	+	0.309361i	$0.100115\pi$
$90$	−5.01628	+	10.7171i	−0.528763	+	1.12969i
$91$	−6.08807	+	22.7210i	−0.638203	+	2.38181i
$92$	1.97214	+	1.13862i	0.205610	+	0.118709i
$93$	−0.621284	−	0.358698i	−0.0644241	−	0.0371953i
$94$	2.36637	−	8.83142i	0.244073	−	0.910892i
$95$	3.56810	+	9.84737i	0.366079	+	1.01032i
$96$	0.745286	−	2.78144i	0.0760654	−	0.283880i
$97$	−3.22099			−0.327042			−0.163521	−	0.986540i	$-0.552285\pi$
$97$	−3.22099			−0.327042			−0.163521	+	0.986540i	$0.552285\pi$
$98$	9.40279	−	16.2861i	0.949825	−	1.64515i
$99$	−1.18113	−	2.04578i	−0.118708	−	0.205608i
$100$	1.72362	−	4.69352i	0.172362	−	0.469352i
$101$		−	0.484925i		−	0.0482518i	−0.999709	−	0.0241259i	$-0.992320\pi$
$101$		−	0.484925i		−	0.0482518i	0.999709	−	0.0241259i	$-0.00768026\pi$
$102$	−0.461041	+	1.72063i	−0.0456498	+	0.170367i
$103$	−0.657767			−0.0648117			−0.0324059	−	0.999475i	$-0.510317\pi$
$103$	−0.657767			−0.0648117			−0.0324059	+	0.999475i	$0.510317\pi$
$104$	−2.31524	+	4.01012i	−0.227028	+	0.393224i
$105$	−26.8207	+	18.7226i	−2.61743	+	1.82714i
$106$	−2.16636	−	8.08498i	−0.210416	−	0.785283i
$107$	−4.74891	−	17.7232i	−0.459095	−	1.71336i	−0.675763	−	0.737119i	$-0.736186\pi$
$107$	−4.74891	−	17.7232i	−0.459095	−	1.71336i	0.216668	−	0.976245i	$-0.430481\pi$
$108$	6.37475	−	1.70811i	0.613411	−	0.164363i
$109$	−1.33113	−	0.356675i	−0.127499	−	0.0341632i	0.194505	−	0.980901i	$-0.437690\pi$
$109$	−1.33113	−	0.356675i	−0.127499	−	0.0341632i	−0.322004	+	0.946738i	$0.604357\pi$
$110$	0.571346	+	0.818472i	0.0544757	+	0.0780382i
$111$	6.76568	−	16.1563i	0.642170	−	1.53349i
$112$	3.59205	−	3.59205i	0.339416	−	0.339416i
$113$	5.79397	+	10.0354i	0.545051	+	0.944055i	0.998604	+	0.0528262i	$0.0168229\pi$
$113$	5.79397	+	10.0354i	0.545051	+	0.944055i	−0.453553	+	0.891229i	$0.649844\pi$
$114$	6.74402	−	11.6810i	0.631635	−	1.09402i
$115$	−0.436496	−	5.07330i	−0.0407035	−	0.473088i
$116$	5.53296	−	1.48255i	0.513722	−	0.137651i
$117$	−24.5040			−2.26539
$118$	−3.85140	+	1.03198i	−0.354550	+	0.0950014i
$119$	−2.22207	+	2.22207i	−0.203697	+	0.203697i
$120$	−6.05375	+	2.19352i	−0.552629	+	0.200240i
$121$	10.8007			0.981885
$122$	−5.60765	−	5.60765i	−0.507693	−	0.507693i
$123$	−2.91507	+	10.8792i	−0.262843	+	0.980945i
$124$	−0.0644806	−	0.240645i	−0.00579053	−	0.0216105i
$125$	−10.8118	+	2.84701i	−0.967035	+	0.254644i
$126$	25.9664	+	6.95766i	2.31327	+	0.619838i
$127$	−18.4700	−	4.94902i	−1.63895	−	0.439154i	−0.682458	−	0.730925i	$-0.739089\pi$
$127$	−18.4700	−	4.94902i	−1.63895	−	0.439154i	−0.956488	+	0.291771i	$0.905755\pi$
$128$	0.866025	−	0.500000i	0.0765466	−	0.0441942i
$129$	22.6840	−	6.07817i	1.99722	−	0.535153i
$130$	10.3160	−	0.887564i	0.904770	−	0.0778446i
$131$	−9.89179	−	2.65050i	−0.864250	−	0.231575i	−0.200650	−	0.979663i	$-0.564305\pi$
$131$	−9.89179	−	2.65050i	−0.864250	−	0.231575i	−0.663600	+	0.748088i	$0.730972\pi$
$132$	0.332690	−	1.24162i	0.0289570	−	0.108069i
$133$	20.6068	−	11.8973i	1.78683	−	1.03163i
$134$	−9.67042	+	9.67042i	−0.835397	+	0.835397i
$135$	−11.2910	−	9.50202i	−0.971776	−	0.817804i
$136$	−0.535731	+	0.309305i	−0.0459386	+	0.0265226i
$137$	−6.63885	+	6.63885i	−0.567195	+	0.567195i	−0.931342	−	0.364147i	$-0.881361\pi$
$137$	−6.63885	+	6.63885i	−0.567195	+	0.567195i	0.364147	+	0.931342i	$0.381361\pi$
$138$	−4.63680	+	4.63680i	−0.394711	+	0.394711i
$139$	−5.37396	−	9.30797i	−0.455813	−	0.789492i	0.542921	−	0.839784i	$-0.317318\pi$
$139$	−5.37396	−	9.30797i	−0.455813	−	0.789492i	−0.998735	+	0.0502920i	$0.983985\pi$
$140$	−11.1836	−	1.98858i	−0.945189	−	0.168066i
$141$	22.8005	+	13.1639i	1.92015	+	1.10860i
$142$			15.2060i			1.27606i
$143$	−1.03351	+	1.79009i	−0.0864262	+	0.149695i
$144$	4.58291	+	2.64594i	0.381909	+	0.220495i
$145$	−9.80002	−	8.24727i	−0.813848	−	0.684898i
$146$	0.310228	−	1.15779i	0.0256747	−	0.0958192i
$147$	38.2911	+	38.2911i	3.15820	+	3.15820i
$148$	5.62873	−	2.30596i	0.462678	−	0.189549i
$149$			5.11448i			0.418995i	0.977809	+	0.209497i	$0.0671828\pi$
$149$			5.11448i			0.418995i	−0.977809	+	0.209497i	$0.932817\pi$
$150$	11.7702	+	8.29218i	0.961030	+	0.677053i
$151$	−11.0417	−	6.37493i	−0.898561	−	0.518784i	−0.0218277	−	0.999762i	$-0.506949\pi$
$151$	−11.0417	−	6.37493i	−0.898561	−	0.518784i	−0.876733	+	0.480978i	$0.840282\pi$
$152$	4.52445	−	1.21232i	0.366981	−	0.0983324i
$153$	−2.83503	−	1.63680i	−0.229198	−	0.132328i
$154$	1.60346	−	1.60346i	0.129211	−	0.129211i
$155$	−0.358698	+	0.426232i	−0.0288113	+	0.0342358i
$156$	−9.42840	−	9.42840i	−0.754876	−	0.754876i
$157$	−8.59015	−	2.30172i	−0.685569	−	0.183698i	−0.100811	−	0.994906i	$-0.532144\pi$
$157$	−8.59015	−	2.30172i	−0.685569	−	0.183698i	−0.584758	+	0.811208i	$0.698810\pi$
$158$	−7.70083	−	7.70083i	−0.612645	−	0.612645i
$159$	24.1025			1.91145
$160$	−2.02520	−	0.947920i	−0.160106	−	0.0749397i
$161$	−11.1740	+	2.99406i	−0.880633	+	0.235965i
$162$			3.12839i			0.245790i
$163$	−3.08493	−	5.34325i	−0.241630	−	0.418516i	0.719549	−	0.694442i	$-0.244349\pi$
$163$	−3.08493	−	5.34325i	−0.241630	−	0.418516i	−0.961179	+	0.275926i	$0.911015\pi$
$164$	−3.38733	+	1.95567i	−0.264506	+	0.152713i
$165$	−2.70235	+	0.979171i	−0.210378	+	0.0762284i
$166$	2.67336	+	9.97712i	0.207493	+	0.774375i
$167$	−2.23225	+	3.86637i	−0.172736	+	0.299188i	−0.939376	−	0.342890i	$-0.888594\pi$
$167$	−2.23225	+	3.86637i	−0.172736	+	0.299188i	0.766639	+	0.642078i	$0.221928\pi$
$168$	7.31397	+	12.6682i	0.564285	+	0.977371i
$169$	4.22069	+	7.31045i	0.324668	+	0.562342i
$170$	1.25281	+	0.586392i	0.0960861	+	0.0449742i
$171$	17.5274	+	17.5274i	1.34035	+	1.34035i
$172$	7.06286	+	4.07774i	0.538538	+	0.310925i
$173$	10.4545	+	2.80128i	0.794843	+	0.212977i	0.633318	−	0.773891i	$-0.281692\pi$
$173$	10.4545	+	2.80128i	0.794843	+	0.212977i	0.161524	+	0.986869i	$0.448359\pi$
$174$			16.4945i			1.25045i
$175$	10.6680	+	23.0507i	0.806425	+	1.74247i
$176$	0.386587	−	0.223196i	0.0291401	−	0.0168241i
$177$		−	11.4816i		−	0.863008i
$178$	−0.257339	−	0.960403i	−0.0192884	−	0.0719853i
$179$	17.2035	+	17.2035i	1.28585	+	1.28585i	0.937286	+	0.348562i	$0.113330\pi$
$179$	17.2035	+	17.2035i	1.28585	+	1.28585i	0.348562	+	0.937286i	$0.386670\pi$
$180$	−1.01434	−	11.7895i	−0.0756045	−	0.878734i
$181$	5.42208	−	9.39132i	0.403020	−	0.698051i	−0.591069	−	0.806621i	$-0.701294\pi$
$181$	5.42208	−	9.39132i	0.403020	−	0.698051i	0.994089	+	0.108570i	$0.0346271\pi$
$182$	−6.08807	−	22.7210i	−0.451277	−	1.68419i
$183$	19.7767	−	11.4181i	1.46193	−	0.844047i
$184$	−2.27723			−0.167880
$185$	−11.4323	−	7.36897i	−0.840522	−	0.541777i
$186$	0.717397			0.0526021
$187$	−0.239147	+	0.138071i	−0.0174881	+	0.0100968i
$188$	2.36637	+	8.83142i	0.172585	+	0.644098i
$189$	−16.7628	+	29.0340i	−1.21931	+	2.11191i
$190$	−8.01375	−	6.74402i	−0.581378	−	0.489263i
$191$	−6.14580	−	6.14580i	−0.444694	−	0.444694i	0.448892	−	0.893586i	$-0.351819\pi$
$191$	−6.14580	−	6.14580i	−0.444694	−	0.444694i	−0.893586	+	0.448892i	$0.851819\pi$
$192$	0.745286	+	2.78144i	0.0537864	+	0.200733i
$193$			3.70441i			0.266649i	0.991072	+	0.133325i	$0.0425653\pi$
$193$			3.70441i			0.266649i	−0.991072	+	0.133325i	$0.957435\pi$
$194$	2.78946	−	1.61050i	0.200272	−	0.115627i
$195$	−5.21963	+	29.3548i	−0.373786	+	2.10214i
$196$			18.8056i			1.34326i
$197$	4.49989	+	1.20574i	0.320604	+	0.0859055i	0.415532	−	0.909579i	$-0.363595\pi$
$197$	4.49989	+	1.20574i	0.320604	+	0.0859055i	−0.0949282	+	0.995484i	$0.530262\pi$
$198$	2.04578	+	1.18113i	0.145387	+	0.0839392i
$199$	−9.35671	−	9.35671i	−0.663280	−	0.663280i	0.292872	−	0.956152i	$-0.405389\pi$
$199$	−9.35671	−	9.35671i	−0.663280	−	0.663280i	−0.956152	+	0.292872i	$0.905389\pi$
$200$	0.854057	+	4.92652i	0.0603910	+	0.348357i
$201$	−19.6905	−	34.1050i	−1.38886	−	2.40558i
$202$	0.242462	+	0.419957i	0.0170596	+	0.0295481i
$203$	−14.5492	+	25.2000i	−1.02116	+	1.76870i
$204$	−0.461041	−	1.72063i	−0.0322793	−	0.120468i
$205$	7.92128	+	3.70765i	0.553246	+	0.258953i
$206$	0.569643	−	0.328883i	0.0396889	−	0.0229144i
$207$	−6.02542	−	10.4363i	−0.418796	−	0.725376i
$208$		−	4.63048i		−	0.321066i
$209$	2.01968	−	0.541172i	0.139704	−	0.0374337i
$210$	13.8661	−	29.6246i	0.956854	−	2.04429i
$211$	−6.67374			−0.459439			−0.229720	−	0.973257i	$-0.573781\pi$
$211$	−6.67374			−0.459439			−0.229720	+	0.973257i	$0.573781\pi$
$212$	5.91862	+	5.91862i	0.406492	+	0.406492i
$213$	−42.2946	−	11.3328i	−2.89798	−	0.776511i
$214$	12.9743	+	12.9743i	0.886903	+	0.886903i
$215$	−1.56323	−	18.1691i	−0.106612	−	1.23912i
$216$	−4.66664	+	4.66664i	−0.317525	+	0.317525i
$217$	1.09602	+	0.632790i	0.0744030	+	0.0429566i
$218$	1.33113	−	0.356675i	0.0901554	−	0.0241571i
$219$	2.98911	+	1.72577i	0.201986	+	0.116616i
$220$	−0.904036	−	0.423145i	−0.0609501	−	0.0285284i
$221$			2.86446i			0.192684i
$222$	2.21889	+	17.3746i	0.148922	+	1.16611i
$223$	3.72140	+	3.72140i	0.249203	+	0.249203i	0.820644	−	0.571440i	$-0.193615\pi$
$223$	3.72140	+	3.72140i	0.249203	+	0.249203i	−0.571440	+	0.820644i	$0.693615\pi$
$224$	−1.31478	+	4.90683i	−0.0878474	+	0.327851i
$225$	−20.3180	+	16.9494i	−1.35453	+	1.12996i
$226$	−10.0354	−	5.79397i	−0.667548	−	0.385409i
$227$	8.75783	−	15.1690i	0.581278	−	1.00680i	−0.414051	−	0.910254i	$-0.635886\pi$
$227$	8.75783	−	15.1690i	0.581278	−	1.00680i	0.995328	−	0.0965487i	$-0.0307804\pi$
$228$			13.4880i			0.893267i
$229$	−14.5294	−	8.38857i	−0.960132	−	0.554332i	−0.0639183	−	0.997955i	$-0.520360\pi$
$229$	−14.5294	−	8.38857i	−0.960132	−	0.554332i	−0.896214	+	0.443623i	$0.853693\pi$
$230$	2.91467	+	4.17536i	0.192187	+	0.275315i
$231$	3.26491	+	5.65498i	0.214815	+	0.372070i
$232$	−4.05041	+	4.05041i	−0.265922	+	0.265922i
$233$	−7.10588	+	7.10588i	−0.465521	+	0.465521i	−0.900460	−	0.434939i	$-0.856770\pi$
$233$	−7.10588	+	7.10588i	−0.465521	+	0.465521i	0.434939	+	0.900460i	$0.356770\pi$
$234$	21.2211	−	12.2520i	1.38727	−	0.800938i
$235$	13.1639	−	15.6423i	0.858716	−	1.02039i
$236$	2.81942	−	2.81942i	0.183529	−	0.183529i
$237$	27.1587	−	15.6801i	1.76415	−	1.01853i
$238$	0.813335	−	3.03541i	0.0527207	−	0.196756i
$239$	−3.48667	−	0.934251i	−0.225534	−	0.0604317i	0.144282	−	0.989537i	$-0.453913\pi$
$239$	−3.48667	−	0.934251i	−0.225534	−	0.0604317i	−0.369816	+	0.929105i	$0.620579\pi$
$240$	4.14594	−	4.92652i	0.267619	−	0.318005i
$241$	17.2137	−	4.61239i	1.10883	−	0.297110i	0.342475	−	0.939527i	$-0.388735\pi$
$241$	17.2137	−	4.61239i	1.10883	−	0.297110i	0.766356	+	0.642417i	$0.222068\pi$
$242$	−9.35371	+	5.40037i	−0.601279	+	0.347149i
$243$	10.4228	+	2.79278i	0.668623	+	0.179157i
$244$	7.66019	+	2.05254i	0.490393	+	0.131401i
$245$	34.4805	−	24.0696i	2.20288	−	1.53775i
$246$	−2.91507	−	10.8792i	−0.185858	−	0.693633i
$247$	5.61364	−	20.9504i	0.357187	−	1.33304i
$248$	0.176164	+	0.176164i	0.0111864	+	0.0111864i
$249$	−29.7432			−1.88490
$250$	7.93977	−	7.87147i	0.502155	−	0.497836i
$251$	4.01101	−	4.01101i	0.253173	−	0.253173i	−0.569097	−	0.822270i	$-0.692707\pi$
$251$	4.01101	−	4.01101i	0.253173	−	0.253173i	0.822270	+	0.569097i	$0.192707\pi$
$252$	−25.9664	+	6.95766i	−1.63573	+	0.438292i
$253$	−1.01654			−0.0639093
$254$	18.4700	−	4.94902i	1.15891	−	0.310529i
$255$	−2.56472	+	3.04759i	−0.160609	+	0.190847i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	11.7872	+	20.4160i	0.735264	+	1.27351i	0.954607	+	0.297867i	$0.0962751\pi$
$257$	11.7872	+	20.4160i	0.735264	+	1.27351i	−0.219343	+	0.975648i	$0.570392\pi$
$258$	−16.6059	+	16.6059i	−1.03384	+	1.03384i
$259$	−11.9355	+	28.5017i	−0.741637	+	1.77101i
$260$	−8.49010	+	5.92664i	−0.526534	+	0.367554i
$261$	−29.2798	−	7.84549i	−1.81237	−	0.485624i
$262$	9.89179	−	2.65050i	0.611117	−	0.163748i
$263$	−2.25052	−	8.39907i	−0.138773	−	0.517909i	−0.999954	−	0.00960954i	$-0.996941\pi$
$263$	−2.25052	−	8.39907i	−0.138773	−	0.517909i	0.861181	−	0.508299i	$-0.169726\pi$
$264$	0.332690	+	1.24162i	0.0204757	+	0.0764162i
$265$	3.27659	−	18.4273i	0.201279	−	1.13198i
$266$	−11.8973	+	20.6068i	−0.729471	+	1.26348i
$267$	2.86310			0.175219
$268$	3.53962	−	13.2100i	0.216217	−	0.806932i
$269$		−	13.4213i		−	0.818309i	−0.912465	−	0.409154i	$-0.865824\pi$
$269$		−	13.4213i		−	0.818309i	0.912465	−	0.409154i	$-0.134176\pi$
$270$	14.5293	+	2.58349i	0.884226	+	0.157226i
$271$	5.78410	+	10.0183i	0.351359	+	0.608571i	0.986488	−	0.163835i	$-0.0523864\pi$
$271$	5.78410	+	10.0183i	0.351359	+	0.608571i	−0.635129	+	0.772406i	$0.719053\pi$
$272$	0.309305	−	0.535731i	0.0187543	−	0.0324835i
$273$	67.7345			4.09948
$274$	2.42999	−	9.06883i	0.146801	−	0.547868i
$275$	0.381245	+	2.19916i	0.0229899	+	0.132614i
$276$	1.69719	−	6.33399i	0.102159	−	0.381262i
$277$	0.845849	+	0.488351i	0.0508221	+	0.0293422i	0.525196	−	0.850981i	$-0.323992\pi$
$277$	0.845849	+	0.488351i	0.0508221	+	0.0293422i	−0.474374	+	0.880324i	$0.657325\pi$
$278$	9.30797	+	5.37396i	0.558255	+	0.322309i
$279$	−0.341224	+	1.27346i	−0.0204285	+	0.0762403i
$280$	10.6796	−	3.86965i	0.638228	−	0.231256i
$281$	−3.61332	+	13.4851i	−0.215553	+	0.804454i	0.770419	+	0.637538i	$0.220047\pi$
$281$	−3.61332	+	13.4851i	−0.215553	+	0.804454i	−0.985971	+	0.166915i	$0.946619\pi$
$282$	−26.3277			−1.56779
$283$	0.207813	−	0.359942i	0.0123532	−	0.0213963i	−0.859783	−	0.510660i	$-0.829401\pi$
$283$	0.207813	−	0.359942i	0.0123532	−	0.0213963i	0.872136	+	0.489264i	$0.162734\pi$
$284$	−7.60300	−	13.1688i	−0.451155	−	0.781423i
$285$	24.7306	−	17.2636i	1.46492	−	1.02261i
$286$		−	2.06701i		−	0.122225i
$287$	5.14256	−	19.1923i	0.303556	−	1.13289i
$288$	−5.29189			−0.311827
$289$	8.30866	−	14.3910i	0.488745	−	0.846531i
$290$	12.6107	+	2.24233i	0.740526	+	0.131674i
$291$	2.40056	+	8.95901i	0.140723	+	0.525186i
$292$	0.310228	+	1.15779i	0.0181547	+	0.0677544i
$293$	1.63803	−	0.438909i	0.0956948	−	0.0256413i	−0.210654	−	0.977561i	$-0.567559\pi$
$293$	1.63803	−	0.438909i	0.0956948	−	0.0256413i	0.306349	+	0.951919i	$0.400893\pi$
$294$	−52.3067	−	14.0155i	−3.05059	−	0.817402i
$295$	−8.77810	−	1.56085i	−0.511081	−	0.0908763i
$296$	−3.72164	+	4.81138i	−0.216316	+	0.279656i
$297$	−2.08316	+	2.08316i	−0.120877	+	0.120877i
$298$	−2.55724	−	4.42927i	−0.148137	−	0.256581i
$299$	−5.27234	+	9.13196i	−0.304907	+	0.528115i
$300$	−14.3394	−	1.29615i	−0.827883	−	0.0748333i
$301$	−40.0176	+	10.7227i	−2.30657	+	0.618045i
$302$	12.7499			0.733672
$303$	−1.34879	+	0.361407i	−0.0774860	+	0.0207623i
$304$	−3.31213	+	3.31213i	−0.189964	+	0.189964i
$305$	−6.04102	−	16.6722i	−0.345908	−	0.954649i
$306$	3.27361			0.187140
$307$	−17.6114	−	17.6114i	−1.00514	−	1.00514i	−0.999987	−	0.00514878i	$-0.998361\pi$
$307$	−17.6114	−	17.6114i	−1.00514	−	1.00514i	−0.00514878	−	0.999987i	$-0.501639\pi$
$308$	−0.586908	+	2.19037i	−0.0334422	+	0.124808i
$309$	0.490224	+	1.82954i	0.0278879	+	0.104079i
$310$	0.0975258	−	0.548477i	0.00553909	−	0.0311514i
$311$	29.5971	+	7.93052i	1.67830	+	0.449699i	0.967329	−	0.253524i	$-0.0815898\pi$
$311$	29.5971	+	7.93052i	1.67830	+	0.449699i	0.710969	+	0.703223i	$0.248256\pi$
$312$	12.8794	+	3.45103i	0.729154	+	0.195376i
$313$	14.6798	−	8.47539i	0.829752	−	0.479058i	−0.0240156	−	0.999712i	$-0.507645\pi$
$313$	14.6798	−	8.47539i	0.829752	−	0.479058i	0.853768	+	0.520654i	$0.174312\pi$
$314$	8.59015	−	2.30172i	0.484770	−	0.129894i
$315$	45.9918	+	38.7047i	2.59135	+	2.18076i
$316$	10.5195	+	2.81870i	0.591770	+	0.158564i
$317$	3.64446	−	13.6013i	0.204693	−	0.763926i	−0.784849	−	0.619686i	$-0.787260\pi$
$317$	3.64446	−	13.6013i	0.204693	−	0.763926i	0.989543	−	0.144240i	$-0.0460736\pi$
$318$	−20.8734	+	12.0512i	−1.17052	+	0.675800i
$319$	−1.80807	+	1.80807i	−0.101233	+	0.101233i
$320$	2.22784	−	0.191679i	0.124540	−	0.0107152i
$321$	−45.7568	+	26.4177i	−2.55389	+	1.47449i
$322$	8.17992	−	8.17992i	0.455849	−	0.455849i
$323$	2.04891	−	2.04891i	0.114005	−	0.114005i
$324$	−1.56420	−	2.70927i	−0.0868998	−	0.150515i
$325$	21.7333	+	7.98121i	1.20554	+	0.442718i
$326$	5.34325	+	3.08493i	0.295935	+	0.170858i
$327$			3.96828i			0.219447i
$328$	1.95567	−	3.38733i	0.107984	−	0.187034i
$329$	−40.2230	−	23.2228i	−2.21757	−	1.28031i
$330$	1.85072	−	2.19916i	0.101879	−	0.121060i
$331$	4.20892	−	15.7079i	0.231343	−	0.863385i	−0.748420	−	0.663225i	$-0.769187\pi$
$331$	4.20892	−	15.7079i	0.231343	−	0.863385i	0.979763	−	0.200160i	$-0.0641462\pi$
$332$	−7.30376	−	7.30376i	−0.400846	−	0.400846i
$333$	−31.8974	−	4.32529i	−1.74796	−	0.237024i
$334$		−	4.46449i		−	0.244286i
$335$	−28.7514	+	10.4178i	−1.57085	+	0.569184i
$336$	−12.6682	−	7.31397i	−0.691106	−	0.399010i
$337$	10.7060	−	2.86868i	0.583195	−	0.156267i	0.0448539	−	0.998994i	$-0.485718\pi$
$337$	10.7060	−	2.86868i	0.583195	−	0.156267i	0.538341	+	0.842727i	$0.319051\pi$
$338$	−7.31045	−	4.22069i	−0.397636	−	0.229575i
$339$	23.5949	−	23.5949i	1.28150	−	1.28150i
$340$	−1.37816	+	0.118574i	−0.0747413	+	0.00643058i
$341$	0.0786384	+	0.0786384i	0.00425851	+	0.00425851i
$342$	−23.9429	−	6.41547i	−1.29468	−	0.346909i
$343$	−42.4062	−	42.4062i	−2.28972	−	2.28972i
$344$	−8.15549			−0.439715
$345$	−13.7858	+	4.99515i	−0.742202	+	0.268930i
$346$	−10.4545	+	2.80128i	−0.562039	+	0.150598i
$347$		−	12.5415i		−	0.673262i	−0.941637	−	0.336631i	$-0.890713\pi$
$347$		−	12.5415i		−	0.673262i	0.941637	−	0.336631i	$-0.109287\pi$
$348$	−8.24727	−	14.2847i	−0.442100	−	0.765740i
$349$	14.7799	−	8.53318i	0.791150	−	0.456770i	−0.0492174	−	0.998788i	$-0.515673\pi$
$349$	14.7799	−	8.53318i	0.791150	−	0.456770i	0.840367	+	0.542018i	$0.182339\pi$
$350$	−20.7641	−	14.6285i	−1.10989	−	0.781924i
$351$	7.90937	+	29.5182i	0.422171	+	1.57556i
$352$	−0.223196	+	0.386587i	−0.0118964	+	0.0206052i
$353$	4.78720	+	8.29168i	0.254797	+	0.441322i	0.964840	−	0.262836i	$-0.0846580\pi$
$353$	4.78720	+	8.29168i	0.254797	+	0.441322i	−0.710043	+	0.704158i	$0.751325\pi$
$354$	5.74079	+	9.94334i	0.305119	+	0.528482i
$355$	−14.4141	+	30.7952i	−0.765019	+	1.63444i
$356$	0.703064	+	0.703064i	0.0372623	+	0.0372623i
$357$	7.83665	+	4.52449i	0.414759	+	0.239461i
$358$	−23.5004	−	6.29691i	−1.24203	−	0.332802i
$359$			32.6420i			1.72278i	0.507945	+	0.861389i	$0.330405\pi$
$359$			32.6420i			1.72278i	−0.507945	+	0.861389i	$0.669595\pi$
$360$	6.77317	+	9.70280i	0.356978	+	0.511383i
$361$	−2.54645	+	1.47019i	−0.134024	+	0.0773786i
$362$			10.8442i			0.569957i
$363$	−8.04963	−	30.0416i	−0.422496	−	1.57678i
$364$	16.6329	+	16.6329i	0.871801	+	0.871801i
$365$	1.72577	−	2.05068i	0.0903307	−	0.107338i
$366$	−11.4181	+	19.7767i	−0.596832	+	1.03374i
$367$	4.55973	+	17.0171i	0.238016	+	0.888287i	0.976766	+	0.214308i	$0.0687495\pi$
$367$	4.55973	+	17.0171i	0.238016	+	0.888287i	−0.738750	+	0.673979i	$0.764584\pi$
$368$	1.97214	−	1.13862i	0.102805	−	0.0593544i
$369$	20.6984			1.07752
$370$	13.5852	+	0.665546i	0.706260	+	0.0346001i
$371$	−42.5199			−2.20752
$372$	−0.621284	+	0.358698i	−0.0322121	+	0.0185976i
$373$	1.14534	+	4.27448i	0.0593036	+	0.221324i	0.989218	−	0.146453i	$-0.0467857\pi$
$373$	1.14534	+	4.27448i	0.0593036	+	0.221324i	−0.929914	+	0.367777i	$0.880119\pi$
$374$	0.138071	−	0.239147i	0.00713950	−	0.0123660i
$375$	15.9767	+	27.9505i	0.825031	+	1.44336i
$376$	−6.46505	−	6.46505i	−0.333410	−	0.333410i
$377$	6.86493	+	25.6203i	0.353562	+	1.31951i
$378$		−	33.5256i		−	1.72437i
$379$	12.8893	−	7.44164i	0.662079	−	0.382251i	−0.130990	−	0.991384i	$-0.541815\pi$
$379$	12.8893	−	7.44164i	0.662079	−	0.382251i	0.793069	+	0.609132i	$0.208482\pi$
$380$	10.3121	+	1.83362i	0.529000	+	0.0940626i
$381$			55.0617i			2.82089i
$382$	8.39531	+	2.24952i	0.429542	+	0.115095i
$383$	0.616325	+	0.355835i	0.0314927	+	0.0181823i	0.515664	−	0.856791i	$-0.327545\pi$
$383$	0.616325	+	0.355835i	0.0314927	+	0.0181823i	−0.484171	+	0.874973i	$0.660879\pi$
$384$	−2.03616	−	2.03616i	−0.103907	−	0.103907i
$385$	4.76729	−	1.72738i	0.242964	−	0.0880356i
$386$	−1.85221	−	3.20811i	−0.0942748	−	0.163289i
$387$	−21.5790	−	37.3759i	−1.09692	−	1.89992i
$388$	−1.61050	+	2.78946i	−0.0817605	+	0.141613i
$389$	2.17814	+	8.12893i	0.110436	+	0.412153i	0.998905	−	0.0467836i	$-0.0148971\pi$
$389$	2.17814	+	8.12893i	0.110436	+	0.412153i	−0.888469	+	0.458937i	$0.848230\pi$
$390$	−10.1571	−	28.0318i	−0.514322	−	1.41945i
$391$	−1.21998	+	0.704358i	−0.0616972	+	0.0356209i
$392$	−9.40279	−	16.2861i	−0.474913	−	0.822573i
$393$			29.4888i			1.48752i
$394$	−4.49989	+	1.20574i	−0.226701	+	0.0607443i
$395$	−8.29597	−	22.8955i	−0.417416	−	1.15200i
$396$	−2.36226			−0.118708
$397$	6.05500	+	6.05500i	0.303892	+	0.303892i	0.842534	−	0.538643i	$-0.181063\pi$
$397$	6.05500	+	6.05500i	0.303892	+	0.303892i	−0.538643	+	0.842534i	$0.681063\pi$
$398$	12.7815	+	3.42479i	0.640679	+	0.171669i
$399$	−48.4496	−	48.4496i	−2.42552	−	2.42552i
$400$	−3.20289	−	3.83946i	−0.160145	−	0.191973i
$401$	8.60825	−	8.60825i	0.429876	−	0.429876i	−0.458710	−	0.888586i	$-0.651688\pi$
$401$	8.60825	−	8.60825i	0.429876	−	0.429876i	0.888586	+	0.458710i	$0.151688\pi$
$402$	34.1050	+	19.6905i	1.70100	+	0.982073i
$403$	1.11430	−	0.298576i	0.0555073	−	0.0148731i
$404$	−0.419957	−	0.242462i	−0.0208936	−	0.0120629i
$405$	−2.96547	+	6.33563i	−0.147355	+	0.314820i
$406$		−	29.0985i		−	1.44413i
$407$	−1.66131	+	2.14777i	−0.0823482	+	0.106461i
$408$	1.25959	+	1.25959i	0.0623588	+	0.0623588i
$409$	3.16524	−	11.8128i	0.156511	−	0.584107i	−0.842460	−	0.538758i	$-0.818894\pi$
$409$	3.16524	−	11.8128i	0.156511	−	0.584107i	0.998971	−	0.0453484i	$-0.0144398\pi$
$410$	−8.71385	+	0.749722i	−0.430346	+	0.0370261i
$411$	23.4134	+	13.5177i	1.15490	+	0.666781i
$412$	−0.328883	+	0.569643i	−0.0162029	+	0.0280643i
$413$			20.2550i			0.996682i
$414$	10.4363	+	6.02542i	0.512918	+	0.296133i
$415$	−4.04341	+	22.7398i	−0.198483	+	1.11625i
$416$	2.31524	+	4.01012i	0.113514	+	0.196612i
$417$	−21.8845	+	21.8845i	−1.07169	+	1.07169i
$418$	−1.47851	+	1.47851i	−0.0723163	+	0.0723163i
$419$	10.3821	−	5.99408i	0.507197	−	0.292830i	−0.224484	−	0.974478i	$-0.572070\pi$
$419$	10.3821	−	5.99408i	0.507197	−	0.292830i	0.731681	+	0.681648i	$0.238736\pi$
$420$	2.80386	+	32.5887i	0.136815	+	1.59017i
$421$	8.73028	−	8.73028i	0.425488	−	0.425488i	−0.461600	−	0.887088i	$-0.652725\pi$
$421$	8.73028	−	8.73028i	0.425488	−	0.425488i	0.887088	+	0.461600i	$0.152725\pi$
$422$	5.77963	−	3.33687i	0.281348	−	0.162436i
$423$	12.5226	−	46.7349i	0.608868	−	2.27233i
$424$	−8.08498	−	2.16636i	−0.392641	−	0.105208i
$425$	1.98134	+	2.37513i	0.0961091	+	0.115211i
$426$	42.2946	−	11.3328i	2.04918	−	0.549076i
$427$	−34.8886	+	20.1429i	−1.68838	+	0.974785i
$428$	−17.7232	−	4.74891i	−0.856682	−	0.229547i
$429$	5.74929	+	1.54052i	0.277578	+	0.0743768i
$430$	10.4384	+	14.9533i	0.503382	+	0.721112i
$431$	−3.15682	−	11.7814i	−0.152059	−	0.567490i	−0.999339	−	0.0363450i	$-0.988428\pi$
$431$	−3.15682	−	11.7814i	−0.152059	−	0.567490i	0.847281	−	0.531145i	$-0.178238\pi$
$432$	1.70811	−	6.37475i	0.0821815	−	0.306705i
$433$	10.7051	+	10.7051i	0.514455	+	0.514455i	0.915888	−	0.401433i	$-0.131488\pi$
$433$	10.7051	+	10.7051i	0.514455	+	0.514455i	−0.401433	+	0.915888i	$0.631488\pi$
$434$	−1.26558			−0.0607498
$435$	−15.6355	+	33.4048i	−0.749665	+	1.60164i
$436$	−0.974454	+	0.974454i	−0.0466679	+	0.0466679i
$437$	10.3032	−	2.76074i	0.492870	−	0.132064i
$438$	−3.45153			−0.164921
$439$	−0.644478	+	0.172687i	−0.0307593	+	0.00824192i	−0.274166	−	0.961682i	$-0.588402\pi$
$439$	−0.644478	+	0.172687i	−0.0307593	+	0.00824192i	0.243407	+	0.969924i	$0.421735\pi$
$440$	0.994490	−	0.0855639i	0.0474105	−	0.00407910i
$441$	49.7585	−	86.1842i	2.36945	−	4.10401i
$442$	−1.43223	−	2.48069i	−0.0681242	−	0.117995i
$443$	−19.3512	+	19.3512i	−0.919404	+	0.919404i	−0.996986	−	0.0775819i	$-0.975280\pi$
$443$	−19.3512	+	19.3512i	−0.919404	+	0.919404i	0.0775819	+	0.996986i	$0.475280\pi$
$444$	−10.6089	−	13.9374i	−0.503477	−	0.661439i
$445$	0.389221	−	2.18895i	0.0184509	−	0.103766i
$446$	−5.08353	−	1.36213i	−0.240712	−	0.0644986i
$447$	14.2257	−	3.81175i	0.672850	−	0.180290i
$448$	−1.31478	−	4.90683i	−0.0621175	−	0.231826i
$449$	1.19693	+	4.46699i	0.0564865	+	0.210810i	0.988401	−	0.151868i	$-0.0485289\pi$
$449$	1.19693	+	4.46699i	0.0564865	+	0.210810i	−0.931914	+	0.362679i	$0.881862\pi$
$450$	9.12122	−	24.8376i	0.429978	−	1.17085i
$451$	0.872999	−	1.51208i	0.0411079	−	0.0712010i
$452$	11.5879			0.545051
$453$	−9.50229	+	35.4630i	−0.446456	+	1.66620i
$454$			17.5157i			0.822051i
$455$	9.20810	−	51.7856i	0.431682	−	2.42775i
$456$	−6.74402	−	11.6810i	−0.315818	−	0.547012i
$457$	−1.40892	+	2.44032i	−0.0659066	+	0.114154i	−0.897096	−	0.441836i	$-0.854327\pi$
$457$	−1.40892	+	2.44032i	−0.0659066	+	0.114154i	0.831189	+	0.555990i	$0.187661\pi$
$458$	16.7771			0.783944
$459$	−1.05665	+	3.94348i	−0.0493203	+	0.184066i
$460$	−4.61186	−	2.15863i	−0.215029	−	0.100647i
$461$	4.84955	−	18.0988i	0.225866	−	0.842943i	−0.756190	−	0.654352i	$-0.772941\pi$
$461$	4.84955	−	18.0988i	0.225866	−	0.842943i	0.982056	−	0.188591i	$-0.0603920\pi$
$462$	−5.65498	−	3.26491i	−0.263094	−	0.151897i
$463$	1.14631	+	0.661825i	0.0532738	+	0.0307576i	0.526400	−	0.850237i	$-0.323541\pi$
$463$	1.14631	+	0.661825i	0.0532738	+	0.0307576i	−0.473127	+	0.880994i	$0.656875\pi$
$464$	1.48255	−	5.53296i	0.0688257	−	0.256861i
$465$	1.45287	+	0.680035i	0.0673754	+	0.0315359i
$466$	2.60093	−	9.70681i	0.120486	−	0.449659i
$467$	12.6461			0.585190			0.292595	−	0.956236i	$-0.405481\pi$
$467$	12.6461			0.585190			0.292595	+	0.956236i	$0.405481\pi$
$468$	−12.2520	+	21.2211i	−0.566349	+	0.980945i
$469$	34.7366	+	60.1655i	1.60399	+	2.77819i
$470$	−3.57910	+	20.1286i	−0.165092	+	0.928461i
$471$			25.6085i			1.17998i
$472$	−1.03198	+	3.85140i	−0.0475007	+	0.177275i
$473$	−3.64055			−0.167393
$474$	−15.6801	+	27.1587i	−0.720211	+	1.24744i
$475$	−9.83667	−	21.2544i	−0.451338	−	0.975219i
$476$	0.813335	+	3.03541i	0.0372791	+	0.139128i
$477$	−11.4641	−	42.7848i	−0.524907	−	1.95898i
$478$	3.48667	−	0.934251i	0.159477	−	0.0427316i
$479$	30.2014	+	8.09245i	1.37994	+	0.369753i	0.871099	−	0.491108i	$-0.163408\pi$
$479$	30.2014	+	8.09245i	1.37994	+	0.369753i	0.508840	+	0.860861i	$0.330075\pi$
$480$	−1.12723	+	6.33946i	−0.0514509	+	0.289356i
$481$	10.6777	+	26.0637i	0.486862	+	1.18840i
$482$	−12.6013	+	12.6013i	−0.573973	+	0.573973i
$483$	16.6556	+	28.8484i	0.757857	+	1.31265i
$484$	5.40037	−	9.35371i	0.245471	−	0.425169i
$485$	7.17584	−	0.617395i	0.325838	−	0.0280345i
$486$	−10.4228	+	2.79278i	−0.472788	+	0.126683i
$487$	−43.1104			−1.95352			−0.976759	−	0.214340i	$-0.931240\pi$
$487$	−43.1104			−1.95352			−0.976759	+	0.214340i	$0.931240\pi$
$488$	−7.66019	+	2.05254i	−0.346761	+	0.0929142i
$489$	−12.5628	+	12.5628i	−0.568109	+	0.568109i
$490$	−17.8262	+	38.0851i	−0.805305	+	1.72051i
$491$	25.3117			1.14230			0.571150	−	0.820846i	$-0.306498\pi$
$491$	25.3117			1.14230			0.571150	+	0.820846i	$0.306498\pi$
$492$	7.96413	+	7.96413i	0.359051	+	0.359051i
$493$	−0.917120	+	3.42274i	−0.0413050	+	0.154152i
$494$	5.61364	+	20.9504i	0.252570	+	0.942603i
$495$	3.02350	+	4.33126i	0.135896	+	0.194676i
$496$	−0.240645	−	0.0644806i	−0.0108053	−	0.00289526i
$497$	74.6131	+	19.9925i	3.34686	+	0.896788i
$498$	25.7584	−	14.8716i	1.15426	−	0.666413i
$499$	−23.7843	+	6.37299i	−1.06473	+	0.285294i	−0.748327	−	0.663330i	$-0.769142\pi$
$499$	−23.7843	+	6.37299i	−1.06473	+	0.285294i	−0.316405	+	0.948624i	$0.602476\pi$
$500$	−2.94031	+	10.7868i	−0.131495	+	0.482399i
$501$	12.4177	+	3.32732i	0.554784	+	0.148654i
$502$	−1.46813	+	5.47915i	−0.0655260	+	0.244546i
$503$	25.5527	−	14.7528i	1.13934	−	0.657797i	0.193071	−	0.981185i	$-0.438155\pi$
$503$	25.5527	−	14.7528i	1.13934	−	0.657797i	0.946266	+	0.323388i	$0.104822\pi$
$504$	19.0087	−	19.0087i	0.846714	−	0.846714i
$505$	0.0929496	+	1.08033i	0.00413621	+	0.0480742i
$506$	0.880349	−	0.508270i	0.0391363	−	0.0225953i
$507$	17.1880	−	17.1880i	0.763345	−	0.763345i
$508$	−13.5210	+	13.5210i	−0.599896	+	0.599896i
$509$	2.86541	+	4.96304i	0.127007	+	0.219983i	0.922516	−	0.385959i	$-0.126130\pi$
$509$	2.86541	+	4.96304i	0.127007	+	0.219983i	−0.795509	+	0.605942i	$0.792796\pi$
$510$	0.697316	−	3.92165i	0.0308777	−	0.173654i
$511$	−5.27318	−	3.04447i	−0.233272	−	0.134680i
$512$		−	1.00000i		−	0.0441942i
$513$	15.4565	−	26.7715i	0.682422	−	1.18199i
$514$	−20.4160	−	11.7872i	−0.900511	−	0.519910i
$515$	1.46540	−	0.126080i	0.0645731	−	0.00555574i
$516$	6.07817	−	22.6840i	0.267577	−	0.998609i
$517$	−2.88595	−	2.88595i	−0.126924	−	0.126924i
$518$	−3.91441	−	30.6510i	−0.171989	−	1.34673i
$519$		−	31.1664i		−	1.36805i
$520$	4.38933	−	9.37767i	0.192485	−	0.411238i
$521$	−24.8121	−	14.3253i	−1.08704	−	0.627602i	−0.154252	−	0.988032i	$-0.549297\pi$
$521$	−24.8121	−	14.3253i	−1.08704	−	0.627602i	−0.932786	+	0.360430i	$0.882630\pi$
$522$	29.2798	−	7.84549i	1.28154	−	0.343388i
$523$	7.25595	+	4.18923i	0.317281	+	0.183182i	0.650180	−	0.759780i	$-0.274694\pi$
$523$	7.25595	+	4.18923i	0.317281	+	0.183182i	−0.332899	+	0.942962i	$0.608027\pi$
$524$	−7.24129	+	7.24129i	−0.316337	+	0.316337i
$525$	56.1634	−	46.8518i	2.45117	−	2.04478i
$526$	6.14854	+	6.14854i	0.268089	+	0.268089i
$527$	0.148865	+	0.0398883i	0.00648467	+	0.00173756i
$528$	−0.908926	−	0.908926i	−0.0395559	−	0.0395559i
$529$	17.8142			0.774531
$530$	6.37602	+	17.5968i	0.276957	+	0.764355i
$531$	−20.3812	+	5.46112i	−0.884467	+	0.236992i
$532$		−	23.7946i		−	1.03163i
$533$	−9.05572	−	15.6850i	−0.392247	−	0.679391i
$534$	−2.47952	+	1.43155i	−0.107299	+	0.0619492i
$535$	13.9770	+	38.5741i	0.604277	+	1.66770i
$536$	3.53962	+	13.2100i	0.152888	+	0.570587i
$537$	35.0290	−	60.6720i	1.51161	−	2.61819i
$538$	6.71063	+	11.6232i	0.289316	+	0.501110i
$539$	−4.19734	−	7.27000i	−0.180792	−	0.313141i
$540$	−13.8745	+	5.02729i	−0.597064	+	0.216340i
$541$	−26.1818	−	26.1818i	−1.12564	−	1.12564i	−0.990878	−	0.134764i	$-0.956972\pi$
$541$	−26.1818	−	26.1818i	−1.12564	−	1.12564i	−0.134764	−	0.990878i	$-0.543028\pi$
$542$	−10.0183	−	5.78410i	−0.430325	−	0.248448i
$543$	−30.1624	−	8.08200i	−1.29439	−	0.346832i
$544$			0.618609i			0.0265226i
$545$	3.03390	+	0.539465i	0.129958	+	0.0231081i
$546$	−58.6598	+	33.8672i	−2.51041	+	1.44938i
$547$			9.02187i			0.385747i	0.981224	+	0.192874i	$0.0617808\pi$
$547$			9.02187i			0.385747i	−0.981224	+	0.192874i	$0.938219\pi$
$548$	2.42999	+	9.06883i	0.103804	+	0.387401i
$549$	−29.6750	−	29.6750i	−1.26650	−	1.26650i
$550$	−1.42975	−	1.71391i	−0.0609647	−	0.0730813i
$551$	13.4155	−	23.2363i	0.571518	−	0.989898i
$552$	1.69719	+	6.33399i	0.0722371	+	0.269593i
$553$	−47.9115	+	27.6617i	−2.03740	+	1.17630i
$554$	−0.976702			−0.0414961
$555$	−11.9760	+	37.2904i	−0.508354	+	1.58289i
$556$	−10.7479			−0.455813
$557$	−6.14642	+	3.54864i	−0.260432	+	0.150361i	−0.624532	−	0.780999i	$-0.714710\pi$
$557$	−6.14642	+	3.54864i	−0.260432	+	0.150361i	0.364099	+	0.931360i	$0.381377\pi$
$558$	−0.341224	−	1.27346i	−0.0144452	−	0.0539101i
$559$	−18.8819	+	32.7045i	−0.798621	+	1.38325i
$560$	−7.31397	+	8.69101i	−0.309072	+	0.367262i
$561$	0.562270	+	0.562270i	0.0237391	+	0.0237391i
$562$	−3.61332	−	13.4851i	−0.152419	−	0.568835i
$563$		−	21.2351i		−	0.894954i	−0.894295	−	0.447477i	$-0.852323\pi$
$563$		−	21.2351i		−	0.894954i	0.894295	−	0.447477i	$-0.147677\pi$
$564$	22.8005	−	13.1639i	0.960074	−	0.554299i
$565$	−14.8316	−	21.2468i	−0.623970	−	0.893858i
$566$			0.415625i			0.0174700i
$567$	15.3505	+	4.11315i	0.644660	+	0.172736i
$568$	13.1688	+	7.60300i	0.552550	+	0.319015i
$569$	−5.61604	−	5.61604i	−0.235437	−	0.235437i	0.579521	−	0.814957i	$-0.303240\pi$
$569$	−5.61604	−	5.61604i	−0.235437	−	0.235437i	−0.814957	+	0.579521i	$0.803240\pi$
$570$	−12.7856	+	27.3160i	−0.535529	+	1.14414i
$571$	−9.35867	−	16.2097i	−0.391648	−	0.678354i	0.601019	−	0.799235i	$-0.294762\pi$
$571$	−9.35867	−	16.2097i	−0.391648	−	0.678354i	−0.992667	+	0.120880i	$0.961428\pi$
$572$	1.03351	+	1.79009i	0.0432131	+	0.0748473i
$573$	−12.5138	+	21.6746i	−0.522772	+	0.905468i
$574$	5.14256	+	19.1923i	0.214646	+	0.801071i
$575$	1.94489	+	11.2188i	0.0811074	+	0.467857i
$576$	4.58291	−	2.64594i	0.190954	−	0.110248i
$577$	−18.8248	−	32.6054i	−0.783685	−	1.35738i	−0.929782	−	0.368112i	$-0.880004\pi$
$577$	−18.8248	−	32.6054i	−0.783685	−	1.35738i	0.146097	−	0.989270i	$-0.453329\pi$
$578$			16.6173i			0.691190i
$579$	10.3036	−	2.76085i	0.428204	−	0.114737i
$580$	−12.0424	+	4.36343i	−0.500032	+	0.181182i
$581$	52.4709			2.17686
$582$	−6.55845	−	6.55845i	−0.271856	−	0.271856i
$583$	−3.60908	−	0.967049i	−0.149473	−	0.0400511i
$584$	−0.847559	−	0.847559i	−0.0350723	−	0.0350723i
$585$	54.5909	−	4.69689i	2.25706	−	0.194192i
$586$	−1.19912	+	1.19912i	−0.0495353	+	0.0495353i
$587$	−27.3526	−	15.7920i	−1.12896	−	0.651806i	−0.185288	−	0.982684i	$-0.559322\pi$
$587$	−27.3526	−	15.7920i	−1.12896	−	0.651806i	−0.943674	+	0.330878i	$0.892655\pi$
$588$	52.3067	−	14.0155i	2.15709	−	0.577991i
$589$	−1.01061	−	0.583479i	−0.0416416	−	0.0240418i
$590$	8.38249	−	3.03731i	0.345101	−	0.125044i
$591$		−	13.4148i		−	0.551811i
$592$	0.817343	−	6.02760i	0.0335926	−	0.247733i
$593$	8.14760	+	8.14760i	0.334582	+	0.334582i	0.854323	−	0.519742i	$-0.173972\pi$
$593$	8.14760	+	8.14760i	0.334582	+	0.334582i	−0.519742	+	0.854323i	$0.673972\pi$
$594$	0.762488	−	2.84564i	0.0312852	−	0.116758i
$595$	4.52449	−	5.37634i	0.185486	−	0.220408i
$596$	4.42927	+	2.55724i	0.181430	+	0.104749i
$597$	−19.0517	+	32.9986i	−0.779736	+	1.35054i
$598$		−	10.5447i		−	0.431204i
$599$	−29.2107	−	16.8648i	−1.19352	−	0.689078i	−0.234416	−	0.972136i	$-0.575318\pi$
$599$	−29.2107	−	16.8648i	−1.19352	−	0.689078i	−0.959103	+	0.283058i	$0.908651\pi$
$600$	13.0663	−	6.04718i	0.533430	−	0.246875i
$601$	−13.5899	−	23.5384i	−0.554344	−	0.960152i	−0.997954	−	0.0639322i	$-0.979636\pi$
$601$	−13.5899	−	23.5384i	−0.554344	−	0.960152i	0.443610	−	0.896220i	$-0.353697\pi$
$602$	29.2949	−	29.2949i	1.19397	−	1.19397i
$603$	−51.1748	+	51.1748i	−2.08400	+	2.08400i
$604$	−11.0417	+	6.37493i	−0.449280	+	0.259392i
$605$	−24.0623	+	2.07027i	−0.978271	+	0.0841684i
$606$	0.987383	−	0.987383i	0.0401097	−	0.0401097i
$607$	−11.6756	+	6.74092i	−0.473899	+	0.273606i	−0.717870	−	0.696177i	$-0.754883\pi$
$607$	−11.6756	+	6.74092i	−0.473899	+	0.273606i	0.243972	+	0.969782i	$0.421550\pi$
$608$	1.21232	−	4.52445i	0.0491662	−	0.183491i
$609$	80.9358	+	21.6867i	3.27969	+	0.878789i
$610$	13.5678	+	11.4181i	0.549344	+	0.462304i
$611$	−40.8938	+	10.9574i	−1.65438	+	0.443291i
$612$	−2.83503	+	1.63680i	−0.114599	+	0.0661639i
$613$	−25.9647	−	6.95722i	−1.04870	−	0.281000i	−0.306988	−	0.951713i	$-0.599321\pi$
$613$	−25.9647	−	6.95722i	−1.04870	−	0.281000i	−0.741716	+	0.670714i	$0.765988\pi$
$614$	24.0576	+	6.44622i	0.970886	+	0.260148i
$615$	4.40900	−	24.7958i	0.177788	−	0.999865i
$616$	−0.586908	−	2.19037i	−0.0236472	−	0.0882526i
$617$	−11.3041	+	42.1875i	−0.455086	+	1.69841i	0.232747	+	0.972537i	$0.425229\pi$
$617$	−11.3041	+	42.1875i	−0.455086	+	1.69841i	−0.687834	+	0.725868i	$0.741438\pi$
$618$	−1.33932	−	1.33932i	−0.0538753	−	0.0538753i
$619$	13.5911			0.546272			0.273136	−	0.961975i	$-0.411939\pi$
$619$	13.5911			0.546272			0.273136	+	0.961975i	$0.411939\pi$
$620$	0.189779	+	0.523758i	0.00762170	+	0.0210346i
$621$	−10.6270	+	10.6270i	−0.426448	+	0.426448i
$622$	−29.5971	+	7.93052i	−1.18674	+	0.317985i
$623$	−5.05088			−0.202359
$624$	−12.8794	+	3.45103i	−0.515590	+	0.138152i
$625$	23.5412	−	8.41506i	0.941647	−	0.336602i
$626$	−8.47539	+	14.6798i	−0.338745	+	0.586723i
$627$	−3.01048	−	5.21431i	−0.120227	−	0.208239i
$628$	−6.28843	+	6.28843i	−0.250936	+	0.250936i
$629$	−0.505616	+	3.72873i	−0.0201602	+	0.148674i
$630$	−59.1825	−	10.5233i	−2.35789	−	0.419260i
$631$	43.6140	+	11.6863i	1.73625	+	0.465226i	0.981607	−	0.190915i	$-0.0611453\pi$
$631$	43.6140	+	11.6863i	1.73625	+	0.465226i	0.754639	+	0.656140i	$0.227812\pi$
$632$	−10.5195	+	2.81870i	−0.418444	+	0.112122i
$633$	4.97384	+	18.5626i	0.197693	+	0.737798i
$634$	3.64446	+	13.6013i	0.144740	+	0.540177i
$635$	42.0967	+	7.48530i	1.67056	+	0.297045i
$636$	12.0512	−	20.8734i	0.477863	−	0.827683i
$637$	−87.0789			−3.45019
$638$	0.661800	−	2.46987i	0.0262009	−	0.0977832i
$639$			80.4684i			3.18328i
$640$	−1.83352	+	1.27992i	−0.0724764	+	0.0505932i
$641$	16.8051	+	29.1073i	0.663763	+	1.14967i	0.979619	+	0.200864i	$0.0643748\pi$
$641$	16.8051	+	29.1073i	0.663763	+	1.14967i	−0.315857	+	0.948807i	$0.602292\pi$
$642$	26.4177	−	45.7568i	1.04262	−	1.80588i
$643$	35.8527			1.41389			0.706946	−	0.707267i	$-0.250072\pi$
$643$	35.8527			1.41389			0.706946	+	0.707267i	$0.250072\pi$
$644$	−2.99406	+	11.1740i	−0.117982	+	0.440316i
$645$	−49.3713	+	17.8892i	−1.94399	+	0.704387i
$646$	−0.749954	+	2.79887i	−0.0295066	+	0.110120i
$647$	37.2407	+	21.5009i	1.46408	+	0.845289i	0.999196	−	0.0400802i	$-0.0127613\pi$
$647$	37.2407	+	21.5009i	1.46408	+	0.845289i	0.464888	+	0.885370i	$0.346095\pi$
$648$	2.70927	+	1.56420i	0.106430	+	0.0614475i
$649$	−0.460668	+	1.71924i	−0.0180828	+	0.0674860i
$650$	−22.8122	+	3.95470i	−0.894767	+	0.155116i
$651$	0.943219	−	3.52014i	0.0369677	−	0.137965i
$652$	−6.16985			−0.241630
$653$	10.6652	−	18.4727i	0.417361	−	0.722891i	−0.578312	−	0.815816i	$-0.696288\pi$
$653$	10.6652	−	18.4727i	0.417361	−	0.722891i	0.995673	+	0.0929248i	$0.0296216\pi$
$654$	−1.98414	−	3.43664i	−0.0775861	−	0.134383i
$655$	22.5453	+	4.00883i	0.880919	+	0.156638i
$656$			3.91135i			0.152713i
$657$	1.64169	−	6.12688i	0.0640485	−	0.239032i
$658$	46.4455			1.81063
$659$	12.6462	−	21.9038i	0.492624	−	0.853250i	−0.507340	−	0.861746i	$-0.669371\pi$
$659$	12.6462	−	21.9038i	0.492624	−	0.853250i	0.999964	+	0.00849583i	$0.00270434\pi$
$660$	−0.503188	+	2.82989i	−0.0195866	+	0.110153i
$661$	5.58323	+	20.8369i	0.217163	+	0.810462i	0.985394	+	0.170290i	$0.0544704\pi$
$661$	5.58323	+	20.8369i	0.217163	+	0.810462i	−0.768231	+	0.640172i	$0.778863\pi$
$662$	4.20892	+	15.7079i	0.163584	+	0.610505i
$663$	7.96734	−	2.13484i	0.309426	−	0.0829104i
$664$	9.97712	+	2.67336i	0.387187	+	0.103747i
$665$	−43.6280	+	30.4552i	−1.69182	+	1.18100i
$666$	29.7866	−	12.2029i	1.15421	−	0.472852i
$667$	−9.22371	+	9.22371i	−0.357144	+	0.357144i
$668$	2.23225	+	3.86637i	0.0863682	+	0.149594i
$669$	7.57736	−	13.1244i	0.292958	−	0.507418i
$670$	19.6905	−	23.3977i	0.760711	−	0.903933i
$671$	−3.41945	+	0.916240i	−0.132007	+	0.0353710i
$672$	14.6279			0.564285
$673$	−3.46277	+	0.927847i	−0.133480	+	0.0357659i	−0.324941	−	0.945734i	$-0.605344\pi$
$673$	−3.46277	+	0.927847i	−0.133480	+	0.0357659i	0.191460	+	0.981500i	$0.438678\pi$
$674$	−7.83737	+	7.83737i	−0.301884	+	0.301884i
$675$	26.9759	+	19.0047i	1.03830	+	0.731492i
$676$	8.44138			0.324668
$677$	−3.73268	−	3.73268i	−0.143459	−	0.143459i	0.631730	−	0.775189i	$-0.282345\pi$
$677$	−3.73268	−	3.73268i	−0.143459	−	0.143459i	−0.775189	+	0.631730i	$0.782345\pi$
$678$	−8.63632	+	32.2312i	−0.331676	+	1.23783i
$679$	−4.23489	−	15.8048i	−0.162520	−	0.606534i
$680$	1.13423	−	0.791768i	0.0434959	−	0.0303629i
$681$	−48.7189	−	13.0542i	−1.86691	−	0.500237i
$682$	−0.107422	−	0.0287837i	−0.00411341	−	0.00110218i
$683$	−25.5399	+	14.7455i	−0.977257	+	0.564220i	−0.901441	−	0.432902i	$-0.857490\pi$
$683$	−25.5399	+	14.7455i	−0.977257	+	0.564220i	−0.0758164	+	0.997122i	$0.524156\pi$
$684$	23.9429	−	6.41547i	0.915479	−	0.245302i
$685$	13.5177	−	16.0628i	0.516486	−	0.613728i
$686$	57.9279	+	15.5217i	2.21170	+	0.592623i
$687$	−12.5038	+	46.6647i	−0.477048	+	1.78037i
$688$	7.06286	−	4.07774i	0.269269	−	0.155463i
$689$	−27.4060	+	27.4060i	−1.04409	+	1.04409i
$690$	9.44127	−	11.2188i	0.359423	−	0.427093i
$691$	30.8171	−	17.7923i	1.17234	−	0.676850i	0.218109	−	0.975925i	$-0.430011\pi$
$691$	30.8171	−	17.7923i	1.17234	−	0.676850i	0.954230	+	0.299075i	$0.0966780\pi$
$692$	7.65324	−	7.65324i	0.290933	−	0.290933i
$693$	8.48534	−	8.48534i	0.322331	−	0.322331i
$694$	6.27074	+	10.8612i	0.238034	+	0.412287i
$695$	13.7564	+	19.7066i	0.521812	+	0.747513i
$696$	14.2847	+	8.24727i	0.541460	+	0.312612i
$697$		−	2.41960i		−	0.0916488i
$698$	−8.53318	+	14.7799i	−0.322986	+	0.559427i
$699$	25.0605	+	14.4687i	0.947875	+	0.547256i
$700$	25.2965	+	2.28658i	0.956116	+	0.0864245i
$701$	−7.84329	+	29.2716i	−0.296237	+	1.10557i	0.643993	+	0.765031i	$0.277277\pi$
$701$	−7.84329	+	29.2716i	−0.296237	+	1.10557i	−0.940230	+	0.340540i	$0.889390\pi$
$702$	−21.6088	−	21.6088i	−0.815572	−	0.815572i
$703$	11.0054	−	26.2807i	0.415077	−	0.991195i
$704$		−	0.446393i		−	0.0168241i
$705$	−53.3190	−	24.9566i	−2.00811	−	0.939920i
$706$	−8.29168	−	4.78720i	−0.312061	−	0.180169i
$707$	2.37944	−	0.637569i	0.0894881	−	0.0239783i
$708$	−9.94334	−	5.74079i	−0.373694	−	0.215752i
$709$	−19.6226	+	19.6226i	−0.736941	+	0.736941i	−0.971985	−	0.235043i	$-0.924477\pi$
$709$	−19.6226	+	19.6226i	−0.736941	+	0.736941i	0.235043	+	0.971985i	$0.424477\pi$
$710$	−2.91466	−	33.8765i	−0.109385	−	1.27136i
$711$	−40.7519	−	40.7519i	−1.52832	−	1.52832i
$712$	−0.960403	−	0.257339i	−0.0359926	−	0.00964420i
$713$	0.401167	+	0.401167i	0.0150238	+	0.0150238i
$714$	−9.04898			−0.338650
$715$	1.95936	−	4.18612i	0.0732761	−	0.156552i
$716$	23.5004	−	6.29691i	0.878250	−	0.235326i
$717$			10.3943i			0.388181i
$718$	−16.3210	−	28.2688i	−0.609094	−	1.05498i
$719$	−17.6288	+	10.1780i	−0.657443	+	0.379575i	−0.791302	−	0.611425i	$-0.790596\pi$
$719$	−17.6288	+	10.1780i	−0.657443	+	0.379575i	0.133859	+	0.991000i	$0.457263\pi$
$720$	−10.7171	−	5.01628i	−0.399404	−	0.186946i
$721$	−0.864819	−	3.22755i	−0.0322075	−	0.120200i
$722$	1.47019	−	2.54645i	0.0547149	−	0.0947690i
$723$	−25.6582	−	44.4414i	−0.954240	−	1.65279i
$724$	−5.42208	−	9.39132i	−0.201510	−	0.349026i
$725$	23.4137	+	16.4951i	0.869562	+	0.612613i
$726$	21.9920	+	21.9920i	0.816200	+	0.816200i
$727$	−16.0530	−	9.26823i	−0.595374	−	0.343739i	0.171845	−	0.985124i	$-0.445027\pi$
$727$	−16.0530	−	9.26823i	−0.595374	−	0.343739i	−0.767220	+	0.641384i	$0.778360\pi$
$728$	−22.7210	−	6.08807i	−0.842095	−	0.225639i
$729$		−	40.4570i		−	1.49841i
$730$	−0.469215	+	2.63883i	−0.0173664	+	0.0976674i
$731$	−4.36915	+	2.52253i	−0.161599	+	0.0932991i
$732$		−	22.8361i		−	0.844047i
$733$	−10.2196	−	38.1401i	−0.377470	−	1.40874i	−0.849703	−	0.527262i	$-0.823219\pi$
$733$	−10.2196	−	38.1401i	−0.377470	−	1.40874i	0.472233	−	0.881474i	$-0.343448\pi$
$734$	−12.4574	−	12.4574i	−0.459811	−	0.459811i
$735$	−92.6460	−	77.9669i	−3.41730	−	2.87585i
$736$	−1.13862	+	1.97214i	−0.0419699	+	0.0726940i
$737$	1.58006	+	5.89687i	0.0582023	+	0.217214i
$738$	−17.9254	+	10.3492i	−0.659841	+	0.380960i
$739$	38.8698			1.42985			0.714925	−	0.699201i	$-0.246461\pi$
$739$	38.8698			1.42985			0.714925	+	0.699201i	$0.246461\pi$
$740$	−12.0979	+	6.21621i	−0.444727	+	0.228512i
$741$	−62.4561			−2.29438
$742$	36.8233	−	21.2599i	1.35183	−	0.780477i
$743$	−5.82632	−	21.7441i	−0.213747	−	0.797715i	−0.986604	−	0.163134i	$-0.947840\pi$
$743$	−5.82632	−	21.7441i	−0.213747	−	0.797715i	0.772857	−	0.634580i	$-0.218827\pi$
$744$	0.358698	−	0.621284i	0.0131505	−	0.0227774i
$745$	−0.980337	−	11.3942i	−0.0359168	−	0.417453i
$746$	−3.12913	−	3.12913i	−0.114566	−	0.114566i
$747$	14.1471	+	52.7978i	0.517616	+	1.93177i
$748$			0.276143i			0.0100968i
$749$	80.7208	−	46.6042i	2.94947	−	1.70288i
$750$	−27.8115	−	16.2175i	−1.01553	−	0.592181i
$751$			10.9028i			0.397850i	0.980015	+	0.198925i	$0.0637451\pi$
$751$			10.9028i			0.397850i	−0.980015	+	0.198925i	$0.936255\pi$
$752$	8.83142	+	2.36637i	0.322049	+	0.0862927i
$753$	−14.1458	−	8.16706i	−0.515500	−	0.297624i
$754$	−18.7553	−	18.7553i	−0.683029	−	0.683029i
$755$	25.8210	+	12.0858i	0.939724	+	0.439849i
$756$	16.7628	+	29.0340i	0.609657	+	1.05596i
$757$	−6.45657	−	11.1831i	−0.234668	−	0.406457i	0.724508	−	0.689266i	$-0.242067\pi$
$757$	−6.45657	−	11.1831i	−0.234668	−	0.406457i	−0.959176	+	0.282809i	$0.908734\pi$
$758$	−7.44164	+	12.8893i	−0.270293	+	0.468161i
$759$	0.757612	+	2.82745i	0.0274996	+	0.102630i
$760$	−9.84737	+	3.56810i	−0.357201	+	0.129429i
$761$	18.0185	−	10.4030i	0.653169	−	0.377107i	−0.136500	−	0.990640i	$-0.543586\pi$
$761$	18.0185	−	10.4030i	0.653169	−	0.377107i	0.789669	+	0.613533i	$0.210252\pi$
$762$	−27.5308	−	47.6848i	−0.997337	−	1.72744i
$763$		−	7.00056i		−	0.253437i
$764$	−8.39531	+	2.24952i	−0.303732	+	0.0813847i
$765$	6.62972	+	3.10312i	0.239698	+	0.112194i
$766$	−0.711671			−0.0257137
$767$	13.0553	+	13.0553i	0.471399	+	0.471399i
$768$	2.78144	+	0.745286i	0.100367	+	0.0268932i
$769$	−35.9160	−	35.9160i	−1.29516	−	1.29516i	−0.931549	−	0.363615i	$-0.881542\pi$
$769$	−35.9160	−	35.9160i	−1.29516	−	1.29516i	−0.363615	−	0.931549i	$-0.618458\pi$
$770$	−3.26491	+	3.87960i	−0.117659	+	0.139811i
$771$	48.0011	−	48.0011i	1.72872	−	1.72872i
$772$	3.20811	+	1.85221i	0.115463	+	0.0666623i
$773$	13.7664	−	3.68870i	0.495143	−	0.132673i	−0.00260185	−	0.999997i	$-0.500828\pi$
$773$	13.7664	−	3.68870i	0.495143	−	0.132673i	0.497745	+	0.867323i	$0.334162\pi$
$774$	37.3759	+	21.5790i	1.34345	+	0.775640i
$775$	0.717422	−	1.01833i	0.0257706	−	0.0365795i
$776$		−	3.22099i		−	0.115627i
$777$	88.1714	+	11.9561i	3.16313	+	0.428921i
$778$	−5.95079	−	5.95079i	−0.213346	−	0.213346i
$779$	−4.74182	+	17.6967i	−0.169893	+	0.634050i
$780$	22.8122	+	19.1977i	0.816806	+	0.687389i
$781$	5.87845	+	3.39392i	0.210347	+	0.121444i
$782$	0.704358	−	1.21998i	0.0251878	−	0.0436265i
$783$			37.8036i			1.35099i
$784$	16.2861	+	9.40279i	0.581647	+	0.335814i
$785$	19.5787	+	3.48132i	0.698792	+	0.124254i
$786$	−14.7444	−	25.5381i	−0.525916	−	0.910913i
$787$	−19.9261	+	19.9261i	−0.710290	+	0.710290i	−0.966596	−	0.256306i	$-0.917495\pi$
$787$	−19.9261	+	19.9261i	−0.710290	+	0.710290i	0.256306	+	0.966596i	$0.417495\pi$
$788$	3.29415	−	3.29415i	0.117349	−	0.117349i
$789$	−21.6843	+	12.5194i	−0.771980	+	0.445703i
$790$	18.6323	+	15.6801i	0.662907	+	0.557873i
$791$	−41.6244	+	41.6244i	−1.47999	+	1.47999i
$792$	2.04578	−	1.18113i	0.0726935	−	0.0419696i
$793$	−9.50426	+	35.4704i	−0.337506	+	1.25959i
$794$	−8.27128	−	2.21628i	−0.293537	−	0.0786529i
$795$	−53.6964	+	4.61993i	−1.90442	+	0.163852i
$796$	−12.7815	+	3.42479i	−0.453028	+	0.121389i
$797$	−1.37185	+	0.792040i	−0.0485935	+	0.0280555i	−0.524100	−	0.851657i	$-0.675598\pi$
$797$	−1.37185	+	0.792040i	−0.0485935	+	0.0280555i	0.475506	+	0.879712i	$0.342265\pi$
$798$	66.1834	+	17.7338i	2.34287	+	0.627770i
$799$	−5.46320	−	1.46386i	−0.193274	−	0.0517876i
$800$	4.69352	+	1.72362i	0.165941	+	0.0609393i
$801$	−1.36181	−	5.08234i	−0.0481172	−	0.179576i
$802$	−3.15084	+	11.7591i	−0.111260	+	0.415228i
$803$	−0.378344	−	0.378344i	−0.0133515	−	0.0133515i
$804$	−39.3810			−1.38886
$805$	24.3199	−	8.81209i	0.857164	−	0.310585i
$806$	−0.815726	+	0.815726i	−0.0287327	+	0.0287327i
$807$	−37.3305	+	10.0027i	−1.31410	+	0.352111i
$808$	0.484925			0.0170596
$809$	27.0254	−	7.24144i	0.950163	−	0.254595i	0.249731	−	0.968315i	$-0.419658\pi$
$809$	27.0254	−	7.24144i	0.950163	−	0.254595i	0.700431	+	0.713720i	$0.252991\pi$
$810$	−0.599646	−	6.96955i	−0.0210694	−	0.244885i
$811$	−12.7965	+	22.1641i	−0.449344	+	0.778287i	−0.998343	−	0.0575357i	$-0.981676\pi$
$811$	−12.7965	+	22.1641i	−0.449344	+	0.778287i	0.548999	+	0.835823i	$0.315009\pi$
$812$	14.5492	+	25.2000i	0.510578	+	0.884348i
$813$	23.5547	−	23.5547i	0.826099	−	0.826099i
$814$	0.364856	−	2.69068i	0.0127882	−	0.0943082i
$815$	7.89690	+	11.3126i	0.276616	+	0.396262i
$816$	−1.72063	−	0.461041i	−0.0602340	−	0.0161397i
$817$	36.8991	−	9.88709i	1.29094	−	0.345905i
$818$	3.16524	+	11.8128i	0.110670	+	0.413026i
$819$	−32.2173	−	120.237i	−1.12577	−	4.20141i
$820$	7.17155	−	5.00620i	0.250442	−	0.174824i
$821$	12.1905	−	21.1146i	0.425452	−	0.736904i	−0.571011	−	0.820943i	$-0.693449\pi$
$821$	12.1905	−	21.1146i	0.425452	−	0.736904i	0.996463	+	0.0840385i	$0.0267819\pi$
$822$	−27.0355			−0.942971
$823$	−1.59569	+	5.95521i	−0.0556224	+	0.207586i	−0.988144	−	0.153528i	$-0.950937\pi$
$823$	−1.59569	+	5.95521i	−0.0556224	+	0.207586i	0.932522	+	0.361113i	$0.117603\pi$
$824$		−	0.657767i		−	0.0229144i
$825$	5.83271	−	2.69942i	0.203069	−	0.0939816i
$826$	−10.1275	−	17.5413i	−0.352380	−	0.610341i
$827$	1.17517	−	2.03545i	0.0408646	−	0.0707796i	−0.844870	−	0.534972i	$-0.820322\pi$
$827$	1.17517	−	2.03545i	0.0408646	−	0.0707796i	0.885734	+	0.464193i	$0.153655\pi$
$828$	−12.0508			−0.418796
$829$	−11.7310	+	43.7806i	−0.407434	+	1.52056i	0.392088	+	0.919928i	$0.371753\pi$
$829$	−11.7310	+	43.7806i	−0.407434	+	1.52056i	−0.799522	+	0.600636i	$0.794914\pi$
$830$	−7.86822	−	21.7150i	−0.273110	−	0.753738i
$831$	0.727922	−	2.71664i	0.0252513	−	0.0942393i
$832$	−4.01012	−	2.31524i	−0.139026	−	0.0802666i
$833$	−10.0747	−	5.81665i	−0.349069	−	0.201535i
$834$	8.01027	−	29.8947i	0.277373	−	1.03517i
$835$	4.23198	−	9.04151i	0.146454	−	0.312894i
$836$	0.541172	−	2.01968i	0.0187168	−	0.0698522i
$837$	1.64419			0.0568316
$838$	−5.99408	+	10.3821i	−0.207062	+	0.358642i
$839$	−13.1457	−	22.7690i	−0.453839	−	0.786073i	0.544781	−	0.838578i	$-0.316613\pi$
$839$	−13.1457	−	22.7690i	−0.453839	−	0.786073i	−0.998621	+	0.0525054i	$0.983279\pi$
$840$	−18.7226	−	26.8207i	−0.645990	−	0.925402i
$841$			3.81158i			0.131434i
$842$	−3.19550	+	11.9258i	−0.110124	+	0.410990i
$843$	40.2010			1.38460
$844$	−3.33687	+	5.77963i	−0.114860	+	0.198943i
$845$	−10.8043	−	15.4775i	−0.371678	−	0.532441i
$846$	12.5226	+	46.7349i	0.430535	+	1.60678i
$847$	14.2006	+	52.9973i	0.487938	+	1.82101i
$848$	8.08498	−	2.16636i	0.277639	−	0.0743932i
$849$	−1.15604	−	0.309760i	−0.0396751	−	0.0106309i
$850$	−2.90345	−	1.06625i	−0.0995876	−	0.0365721i
$851$	−8.47503	+	10.9566i	−0.290520	+	0.375588i
$852$	−30.9618	+	30.9618i	−1.06073	+	1.06073i
$853$	−26.8314	−	46.4734i	−0.918691	−	1.59122i	−0.801406	−	0.598121i	$-0.795914\pi$
$853$	−26.8314	−	46.4734i	−0.918691	−	1.59122i	−0.117285	−	0.993098i	$-0.537419\pi$
$854$	20.1429	−	34.8886i	0.689277	−	1.19386i
$855$	−42.4078	−	35.6886i	−1.45032	−	1.22052i
$856$	17.7232	−	4.74891i	0.605766	−	0.162314i
$857$	1.21914			0.0416450			0.0208225	−	0.999783i	$-0.493372\pi$
$857$	1.21914			0.0416450			0.0208225	+	0.999783i	$0.493372\pi$
$858$	−5.74929	+	1.54052i	−0.196277	+	0.0525924i
$859$	−30.9991	+	30.9991i	−1.05768	+	1.05768i	−0.0594446	+	0.998232i	$0.518933\pi$
$859$	−30.9991	+	30.9991i	−1.05768	+	1.05768i	−0.998232	+	0.0594446i	$0.981067\pi$
$860$	−16.5165	−	7.73075i	−0.563209	−	0.263616i
$861$	−57.2150			−1.94988
$862$	8.62459	+	8.62459i	0.293755	+	0.293755i
$863$	−10.2686	+	38.3228i	−0.349546	+	1.30452i	0.537666	+	0.843158i	$0.319306\pi$
$863$	−10.2686	+	38.3228i	−0.349546	+	1.30452i	−0.887211	+	0.461363i	$0.847360\pi$
$864$	1.70811	+	6.37475i	0.0581111	+	0.216873i
$865$	−23.8279	−	4.23689i	−0.810174	−	0.144059i
$866$	−14.6235	−	3.91835i	−0.496926	−	0.133151i
$867$	−46.2202	−	12.3847i	−1.56972	−	0.420605i
$868$	1.09602	−	0.632790i	0.0372015	−	0.0214783i
$869$	−4.69584	+	1.25825i	−0.159295	+	0.0426831i
$870$	−3.16165	−	36.7472i	−0.107190	−	1.24585i
$871$	61.1689	+	16.3902i	2.07263	+	0.555359i
$872$	0.356675	−	1.33113i	0.0120785	−	0.0450777i
$873$	14.7615	−	8.52256i	0.499601	−	0.288445i
$874$	−7.54248	+	7.54248i	−0.255128	+	0.255128i
$875$	−28.1849	−	49.3083i	−0.952823	−	1.66693i
$876$	2.98911	−	1.72577i	0.100993	−	0.0583082i
$877$	−30.1718	+	30.1718i	−1.01883	+	1.01883i	−0.0190116	+	0.999819i	$0.506052\pi$
$877$	−30.1718	+	30.1718i	−1.01883	+	1.01883i	−0.999819	+	0.0190116i	$0.993948\pi$
$878$	0.471791	−	0.471791i	0.0159222	−	0.0159222i
$879$	−2.44160	−	4.22898i	−0.0823532	−	0.142640i
$880$	−0.818472	+	0.571346i	−0.0275907	+	0.0192601i
$881$	−43.6201	−	25.1841i	−1.46960	−	0.848474i	−0.470181	−	0.882570i	$-0.655811\pi$
$881$	−43.6201	−	25.1841i	−1.46960	−	0.848474i	−0.999419	+	0.0340967i	$0.989145\pi$
$882$			99.5170i			3.35091i
$883$	−2.86577	+	4.96366i	−0.0964409	+	0.167041i	−0.910209	−	0.414149i	$-0.864079\pi$
$883$	−2.86577	+	4.96366i	−0.0964409	+	0.167041i	0.813768	+	0.581190i	$0.197413\pi$
$884$	2.48069	+	1.43223i	0.0834348	+	0.0481711i
$885$	2.20077	+	25.5791i	0.0739782	+	0.859832i
$886$	7.08304	−	26.4343i	0.237959	−	0.888076i
$887$	−16.5303	−	16.5303i	−0.555033	−	0.555033i	0.372856	−	0.927889i	$-0.378378\pi$
$887$	−16.5303	−	16.5303i	−0.555033	−	0.555033i	−0.927889	+	0.372856i	$0.878378\pi$
$888$	16.1563	+	6.76568i	0.542169	+	0.227041i
$889$		−	97.1358i		−	3.25783i
$890$	0.757399	+	2.09030i	0.0253881	+	0.0700669i
$891$	1.20940	+	0.698246i	0.0405163	+	0.0233921i
$892$	5.08353	−	1.36213i	0.170209	−	0.0456074i
$893$	37.0885	+	21.4131i	1.24112	+	0.716561i
$894$	−10.4139	+	10.4139i	−0.348293	+	0.348293i
$895$	−41.6241	−	35.0290i	−1.39134	−	1.17089i
$896$	3.59205	+	3.59205i	0.120002	+	0.120002i
$897$	29.3294	+	7.85880i	0.979282	+	0.262398i
$898$	−3.27007	−	3.27007i	−0.109124	−	0.109124i
$899$	1.42707			0.0475956
$900$	4.51957	+	26.0706i	0.150652	+	0.869019i
$901$	−5.00144	+	1.34013i	−0.166622	+	0.0446463i
$902$			1.74600i			0.0581354i
$903$	59.6490	+	103.315i	1.98500	+	3.43811i
$904$	−10.0354	+	5.79397i	−0.333774	+	0.192705i
$905$	−10.2794	+	21.9616i	−0.341699	+	0.730029i
$906$	−9.50229	−	35.4630i	−0.315692	−	1.17818i
$907$	2.80832	−	4.86415i	0.0932487	−	0.161511i	−0.815628	−	0.578577i	$-0.803608\pi$
$907$	2.80832	−	4.86415i	0.0932487	−	0.161511i	0.908876	+	0.417066i	$0.136942\pi$
$908$	−8.75783	−	15.1690i	−0.290639	−	0.503401i
$909$	1.28308	+	2.22236i	0.0425572	+	0.0737112i
$910$	17.9183	+	49.4517i	0.593987	+	1.63931i
$911$	32.1621	+	32.1621i	1.06558	+	1.06558i	0.997693	+	0.0678858i	$0.0216254\pi$
$911$	32.1621	+	32.1621i	1.06558	+	1.06558i	0.0678858	+	0.997693i	$0.478375\pi$
$912$	11.6810	+	6.74402i	0.386796	+	0.223317i
$913$	4.45371	+	1.19337i	0.147396	+	0.0394948i
$914$		−	2.81784i		−	0.0932060i
$915$	−41.8706	+	29.2283i	−1.38420	+	0.966259i
$916$	−14.5294	+	8.38857i	−0.480066	+	0.277166i
$917$		−	52.0221i		−	1.71792i
$918$	−1.05665	−	3.94348i	−0.0348747	−	0.130154i
$919$	−11.6186	−	11.6186i	−0.383263	−	0.383263i	0.489013	−	0.872276i	$-0.337357\pi$
$919$	−11.6186	−	11.6186i	−0.383263	−	0.383263i	−0.872276	+	0.489013i	$0.837357\pi$
$920$	5.07330	−	0.436496i	0.167262	−	0.0143909i
$921$	−35.8596	+	62.1107i	−1.18161	+	2.04662i
$922$	4.84955	+	18.0988i	0.159711	+	0.596051i
$923$	60.9778	−	35.2055i	2.00711	−	1.15880i
$924$	6.52981			0.214815
$925$	26.8819	+	14.2255i	0.883870	+	0.467733i
$926$	−1.32365			−0.0434978
$927$	3.01448	−	1.74041i	0.0990087	−	0.0571627i
$928$	1.48255	+	5.53296i	0.0486671	+	0.181628i
$929$	3.00479	−	5.20445i	0.0985839	−	0.170752i	−0.812515	−	0.582941i	$-0.801902\pi$
$929$	3.00479	−	5.20445i	0.0985839	−	0.170752i	0.911099	+	0.412188i	$0.135235\pi$
$930$	−1.59824	+	0.137510i	−0.0524085	+	0.00450912i
$931$	62.2865	+	62.2865i	2.04136	+	2.04136i
$932$	2.60093	+	9.70681i	0.0851963	+	0.317957i
$933$		−	88.2332i		−	2.88863i
$934$	−10.9518	+	6.32303i	−0.358354	+	0.206896i
$935$	0.506314	−	0.353440i	0.0165582	−	0.0115587i
$936$		−	24.5040i		−	0.800938i
$937$	51.8890	+	13.9036i	1.69514	+	0.454212i	0.971708	−	0.236184i	$-0.0758967\pi$
$937$	51.8890	+	13.9036i	1.69514	+	0.454212i	0.723432	+	0.690395i	$0.242563\pi$
$938$	−60.1655	−	34.7366i	−1.96447	−	1.13419i
$939$	−34.5145	−	34.5145i	−1.12634	−	1.12634i
$940$	−6.96469	−	19.2214i	−0.227163	−	0.626933i
$941$	−2.75738	−	4.77592i	−0.0898880	−	0.155691i	0.817576	−	0.575821i	$-0.195318\pi$
$941$	−2.75738	−	4.77592i	−0.0898880	−	0.155691i	−0.907464	+	0.420131i	$0.861984\pi$
$942$	−12.8042	−	22.1776i	−0.417185	−	0.722585i
$943$	4.45352	−	7.71373i	0.145027	−	0.251194i
$944$	−1.03198	−	3.85140i	−0.0335881	−	0.125352i
$945$	31.7796	−	67.8961i	1.03379	−	2.20866i
$946$	3.15281	−	1.82028i	0.102507	−	0.0591823i
$947$	−0.515487	−	0.892850i	−0.0167511	−	0.0290137i	0.857528	−	0.514437i	$-0.171999\pi$
$947$	−0.515487	−	0.892850i	−0.0167511	−	0.0290137i	−0.874279	+	0.485423i	$0.838666\pi$
$948$		−	31.3602i		−	1.01853i
$949$	−5.36112	+	1.43651i	−0.174029	+	0.0466310i
$950$	19.1460	+	13.4885i	0.621179	+	0.437625i
$951$	−40.5475			−1.31484
$952$	−2.22207	−	2.22207i	−0.0720178	−	0.0720178i
$953$	27.1719	+	7.28070i	0.880186	+	0.235845i	0.670487	−	0.741921i	$-0.266085\pi$
$953$	27.1719	+	7.28070i	0.880186	+	0.235845i	0.209698	+	0.977766i	$0.432752\pi$
$954$	31.3206	+	31.3206i	1.01404	+	1.01404i
$955$	14.8699	+	12.5138i	0.481177	+	0.404938i
$956$	−2.55242	+	2.55242i	−0.0825512	+	0.0825512i
$957$	6.37658	+	3.68152i	0.206126	+	0.119007i
$958$	−30.2014	+	8.09245i	−0.975764	+	0.261455i
$959$	−41.3043	−	23.8470i	−1.33378	−	0.770061i
$960$	−2.19352	−	6.05375i	−0.0707955	−	0.195384i
$961$			30.9379i			0.997998i
$962$	−22.2790	−	17.2330i	−0.718305	−	0.555614i
$963$	68.6583	+	68.6583i	2.21248	+	2.21248i
$964$	4.61239	−	17.2137i	0.148555	−	0.554415i
$965$	−0.710056	−	8.25283i	−0.0228575	−	0.265668i
$966$	−28.8484	−	16.6556i	−0.928181	−	0.535886i
$967$	−8.26199	+	14.3102i	−0.265688	+	0.460184i	−0.967744	−	0.251937i	$-0.918932\pi$
$967$	−8.26199	+	14.3102i	−0.265688	+	0.460184i	0.702056	+	0.712122i	$0.252266\pi$
$968$			10.8007i			0.347149i
$969$	−7.22596	−	4.17191i	−0.232131	−	0.134021i
$970$	−5.90576	+	4.12260i	−0.189623	+	0.132369i
$971$	18.6691	+	32.3359i	0.599121	+	1.03771i	0.992951	+	0.118525i	$0.0378167\pi$
$971$	18.6691	+	32.3359i	0.599121	+	1.03771i	−0.393830	+	0.919183i	$0.628850\pi$
$972$	7.63002	−	7.63002i	0.244733	−	0.244733i
$973$	38.6070	−	38.6070i	1.23768	−	1.23768i
$974$	37.3347	−	21.5552i	1.19628	−	0.690673i
$975$	6.00181	−	66.3981i	0.192212	−	2.12644i
$976$	5.60765	−	5.60765i	0.179496	−	0.179496i
$977$	7.69016	−	4.43992i	0.246030	−	0.142046i	−0.371915	−	0.928267i	$-0.621299\pi$
$977$	7.69016	−	4.43992i	0.246030	−	0.142046i	0.617945	+	0.786221i	$0.287965\pi$
$978$	4.59830	−	17.1611i	0.147038	−	0.548752i
$979$	−0.428717	−	0.114874i	−0.0137019	−	0.00367140i
$980$	−3.60463	−	41.8958i	−0.115146	−	1.33831i
$981$	7.04418	−	1.88748i	0.224903	−	0.0602627i
$982$	−21.9205	+	12.6558i	−0.699513	+	0.403864i
$983$	6.11727	+	1.63912i	0.195111	+	0.0522797i	0.355051	−	0.934847i	$-0.384464\pi$
$983$	6.11727	+	1.63912i	0.195111	+	0.0522797i	−0.159940	+	0.987127i	$0.551130\pi$
$984$	−10.8792	−	2.91507i	−0.346816	−	0.0929291i
$985$	−10.2561	−	1.82366i	−0.326787	−	0.0581067i
$986$	−0.917120	−	3.42274i	−0.0292070	−	0.109002i
$987$	−34.6152	+	129.186i	−1.10181	+	4.11202i
$988$	−15.3368	−	15.3368i	−0.487927	−	0.487927i
$989$	−18.5719			−0.590553
$990$	−4.78405	−	2.23923i	−0.152047	−	0.0711675i
$991$	17.9411	−	17.9411i	0.569916	−	0.569916i	−0.362188	−	0.932105i	$-0.617970\pi$
$991$	17.9411	−	17.9411i	0.569916	−	0.569916i	0.932105	+	0.362188i	$0.117970\pi$
$992$	0.240645	−	0.0644806i	0.00764048	−	0.00204726i
$993$	−46.8275			−1.48603
$994$	−74.6131	+	19.9925i	−2.36659	+	0.634125i
$995$	22.6387	+	19.0517i	0.717695	+	0.603981i
$996$	−14.8716	+	25.7584i	−0.471225	+	0.816186i
$997$	−9.86613	−	17.0886i	−0.312464	−	0.541203i	0.666431	−	0.745566i	$-0.267821\pi$
$997$	−9.86613	−	17.0886i	−0.312464	−	0.541203i	−0.978895	+	0.204363i	$0.934488\pi$
$998$	17.4113	−	17.4113i	0.551146	−	0.551146i
$999$	5.08544	+	39.8206i	0.160896	+	1.25987i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.r.d.193.1	yes	12
5.2	odd	4		370.2.q.d.267.1	✓	12
37.14	odd	12		370.2.q.d.273.1	yes	12
185.162	even	12	inner	370.2.r.d.347.1	yes	12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.q.d.267.1	✓	12	5.2	odd	4
370.2.q.d.273.1	yes	12	37.14	odd	12
370.2.r.d.193.1	yes	12	1.1	even	1	trivial
370.2.r.d.347.1	yes	12	185.162	even	12	inner

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.r (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.866025 + 0.500000i) q^{2} +(-0.745286 - 2.78144i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-2.22784 + 0.191679i) q^{5} +(2.03616 + 2.03616i) q^{6} +(1.31478 + 4.90683i) q^{7} +1.00000i q^{8} +(-4.58291 + 2.64594i) q^{9} +O(q^{10})\)	\(q+(-0.866025 + 0.500000i) q^{2} +(-0.745286 - 2.78144i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-2.22784 + 0.191679i) q^{5} +(2.03616 + 2.03616i) q^{6} +(1.31478 + 4.90683i) q^{7} +1.00000i q^{8} +(-4.58291 + 2.64594i) q^{9} +(1.83352 - 1.27992i) q^{10} +0.446393i q^{11} +(-2.78144 - 0.745286i) q^{12} +(4.01012 + 2.31524i) q^{13} +(-3.59205 - 3.59205i) q^{14} +(2.19352 + 6.05375i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(0.309305 + 0.535731i) q^{17} +(2.64594 - 4.58291i) q^{18} +(-1.21232 - 4.52445i) q^{19} +(-0.947920 + 2.02520i) q^{20} +(12.6682 - 7.31397i) q^{21} +(-0.223196 - 0.386587i) q^{22} +2.27723i q^{23} +(2.78144 - 0.745286i) q^{24} +(4.92652 - 0.854057i) q^{25} -4.63048 q^{26} +(4.66664 + 4.66664i) q^{27} +(4.90683 + 1.31478i) q^{28} +(4.05041 + 4.05041i) q^{29} +(-4.92652 - 4.14594i) q^{30} +(0.176164 - 0.176164i) q^{31} +(0.866025 + 0.500000i) q^{32} +(1.24162 - 0.332690i) q^{33} +(-0.535731 - 0.309305i) q^{34} +(-3.86965 - 10.6796i) q^{35} +5.29189i q^{36} +(4.81138 + 3.72164i) q^{37} +(3.31213 + 3.31213i) q^{38} +(3.45103 - 12.8794i) q^{39} +(-0.191679 - 2.22784i) q^{40} +(-3.38733 - 1.95567i) q^{41} +(-7.31397 + 12.6682i) q^{42} +8.15549i q^{43} +(0.386587 + 0.223196i) q^{44} +(9.70280 - 6.77317i) q^{45} +(-1.13862 - 1.97214i) q^{46} +(-6.46505 + 6.46505i) q^{47} +(-2.03616 + 2.03616i) q^{48} +(-16.2861 + 9.40279i) q^{49} +(-3.83946 + 3.20289i) q^{50} +(1.25959 - 1.25959i) q^{51} +(4.01012 - 2.31524i) q^{52} +(-2.16636 + 8.08498i) q^{53} +(-6.37475 - 1.70811i) q^{54} +(-0.0855639 - 0.994490i) q^{55} +(-4.90683 + 1.31478i) q^{56} +(-11.6810 + 6.74402i) q^{57} +(-5.53296 - 1.48255i) q^{58} +(3.85140 + 1.03198i) q^{59} +(6.33946 + 1.12723i) q^{60} +(2.05254 + 7.66019i) q^{61} +(-0.0644806 + 0.240645i) q^{62} +(-19.0087 - 19.0087i) q^{63} -1.00000 q^{64} +(-9.37767 - 4.38933i) q^{65} +(-0.908926 + 0.908926i) q^{66} +(13.2100 - 3.53962i) q^{67} +0.618609 q^{68} +(6.33399 - 1.69719i) q^{69} +(8.69101 + 7.31397i) q^{70} +(7.60300 - 13.1688i) q^{71} +(-2.64594 - 4.58291i) q^{72} +(-0.847559 + 0.847559i) q^{73} +(-6.02760 - 0.817343i) q^{74} +(-6.04718 - 13.0663i) q^{75} +(-4.52445 - 1.21232i) q^{76} +(-2.19037 + 0.586908i) q^{77} +(3.45103 + 12.8794i) q^{78} +(2.81870 + 10.5195i) q^{79} +(1.27992 + 1.83352i) q^{80} +(1.56420 - 2.70927i) q^{81} +3.91135 q^{82} +(2.67336 - 9.97712i) q^{83} -14.6279i q^{84} +(-0.791768 - 1.13423i) q^{85} +(-4.07774 - 7.06286i) q^{86} +(8.24727 - 14.2847i) q^{87} -0.446393 q^{88} +(-0.257339 + 0.960403i) q^{89} +(-5.01628 + 10.7171i) q^{90} +(-6.08807 + 22.7210i) q^{91} +(1.97214 + 1.13862i) q^{92} +(-0.621284 - 0.358698i) q^{93} +(2.36637 - 8.83142i) q^{94} +(3.56810 + 9.84737i) q^{95} +(0.745286 - 2.78144i) q^{96} -3.22099 q^{97} +(9.40279 - 16.2861i) q^{98} +(-1.18113 - 2.04578i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q + 6 q^{3} + 6 q^{4} - 8 q^{5} + 6 q^{6} - 4 q^{7} - 18 q^{9}+O(q^{10}) \) 12 * q + 6 * q^3 + 6 * q^4 - 8 * q^5 + 6 * q^6 - 4 * q^7 - 18 * q^9	\( 12 q + 6 q^{3} + 6 q^{4} - 8 q^{5} + 6 q^{6} - 4 q^{7} - 18 q^{9} - 4 q^{10} - 6 q^{13} - 8 q^{14} - 14 q^{15} - 6 q^{16} + 12 q^{17} + 10 q^{18} + 8 q^{19} - 4 q^{20} + 54 q^{21} - 10 q^{22} - 10 q^{25} - 18 q^{27} + 4 q^{28} - 4 q^{29} + 10 q^{30} - 2 q^{31} - 28 q^{33} - 12 q^{34} + 14 q^{35} + 12 q^{37} + 16 q^{38} + 30 q^{39} - 2 q^{40} + 12 q^{41} - 22 q^{42} - 6 q^{44} + 24 q^{45} + 2 q^{46} - 28 q^{47} - 6 q^{48} - 24 q^{49} + 16 q^{50} - 8 q^{51} - 6 q^{52} + 14 q^{53} + 18 q^{54} - 32 q^{55} - 4 q^{56} - 72 q^{57} - 10 q^{58} + 14 q^{60} + 24 q^{61} - 16 q^{62} + 8 q^{63} - 12 q^{64} - 26 q^{65} + 8 q^{66} + 18 q^{67} + 24 q^{68} + 40 q^{69} + 6 q^{70} - 10 q^{72} + 28 q^{73} - 38 q^{74} - 30 q^{75} - 8 q^{76} + 26 q^{77} + 30 q^{78} + 56 q^{79} + 4 q^{80} + 4 q^{81} - 28 q^{82} + 14 q^{83} + 28 q^{85} - 22 q^{86} - 10 q^{87} - 20 q^{88} + 2 q^{89} + 42 q^{90} + 38 q^{91} - 18 q^{92} + 18 q^{93} + 16 q^{94} - 56 q^{95} - 6 q^{96} - 44 q^{97} + 22 q^{98} - 28 q^{99}+O(q^{100}) \) 12 * q + 6 * q^3 + 6 * q^4 - 8 * q^5 + 6 * q^6 - 4 * q^7 - 18 * q^9 - 4 * q^10 - 6 * q^13 - 8 * q^14 - 14 * q^15 - 6 * q^16 + 12 * q^17 + 10 * q^18 + 8 * q^19 - 4 * q^20 + 54 * q^21 - 10 * q^22 - 10 * q^25 - 18 * q^27 + 4 * q^28 - 4 * q^29 + 10 * q^30 - 2 * q^31 - 28 * q^33 - 12 * q^34 + 14 * q^35 + 12 * q^37 + 16 * q^38 + 30 * q^39 - 2 * q^40 + 12 * q^41 - 22 * q^42 - 6 * q^44 + 24 * q^45 + 2 * q^46 - 28 * q^47 - 6 * q^48 - 24 * q^49 + 16 * q^50 - 8 * q^51 - 6 * q^52 + 14 * q^53 + 18 * q^54 - 32 * q^55 - 4 * q^56 - 72 * q^57 - 10 * q^58 + 14 * q^60 + 24 * q^61 - 16 * q^62 + 8 * q^63 - 12 * q^64 - 26 * q^65 + 8 * q^66 + 18 * q^67 + 24 * q^68 + 40 * q^69 + 6 * q^70 - 10 * q^72 + 28 * q^73 - 38 * q^74 - 30 * q^75 - 8 * q^76 + 26 * q^77 + 30 * q^78 + 56 * q^79 + 4 * q^80 + 4 * q^81 - 28 * q^82 + 14 * q^83 + 28 * q^85 - 22 * q^86 - 10 * q^87 - 20 * q^88 + 2 * q^89 + 42 * q^90 + 38 * q^91 - 18 * q^92 + 18 * q^93 + 16 * q^94 - 56 * q^95 - 6 * q^96 - 44 * q^97 + 22 * q^98 - 28 * q^99

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