LMFDB - Embedded newform 273.2.by.c.223.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(76,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 6, 7]))

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

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

chi := DirichletCharacter("273.76");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.by (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:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$8$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			223.7
Character	$\chi$	$=$	273.223
Dual form			273.2.by.c.202.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.96303 + 0.525993i) q^{2} +(-0.866025 + 0.500000i) q^{3} +(1.84478 + 1.06508i) q^{4} +(1.56698 + 1.56698i) q^{5} +(-1.96303 + 0.525993i) q^{6} +(2.02456 - 1.70328i) q^{7} +(0.187059 + 0.187059i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})$	\(q+(1.96303 + 0.525993i) q^{2} +(-0.866025 + 0.500000i) q^{3} +(1.84478 + 1.06508i) q^{4} +(1.56698 + 1.56698i) q^{5} +(-1.96303 + 0.525993i) q^{6} +(2.02456 - 1.70328i) q^{7} +(0.187059 + 0.187059i) q^{8} +(0.500000 - 0.866025i) q^{9} +(2.25182 + 3.90026i) q^{10} +(-1.16197 + 4.33653i) q^{11} -2.13017 q^{12} +(-3.51879 + 0.786201i) q^{13} +(4.87020 - 2.27868i) q^{14} +(-2.14054 - 0.573555i) q^{15} +(-1.86136 - 3.22397i) q^{16} +(1.31427 - 2.27639i) q^{17} +(1.43704 - 1.43704i) q^{18} +(6.01372 - 1.61137i) q^{19} +(1.22177 + 4.55971i) q^{20} +(-0.901685 + 2.48736i) q^{21} +(-4.56197 + 7.90156i) q^{22} +(-4.58893 + 2.64942i) q^{23} +(-0.255528 - 0.0684684i) q^{24} -0.0891302i q^{25} +(-7.32104 - 0.307521i) q^{26} +1.00000i q^{27} +(5.54901 - 0.985840i) q^{28} +(-2.06391 - 3.57480i) q^{29} +(-3.90026 - 2.25182i) q^{30} +(-2.44135 - 2.44135i) q^{31} +(-2.09506 - 7.81887i) q^{32} +(-1.16197 - 4.33653i) q^{33} +(3.77733 - 3.77733i) q^{34} +(5.84146 + 0.503451i) q^{35} +(1.84478 - 1.06508i) q^{36} +(0.0290943 - 0.108582i) q^{37} +12.6527 q^{38} +(2.65426 - 2.44027i) q^{39} +0.586237i q^{40} +(2.03234 - 7.58481i) q^{41} +(-3.07837 + 4.40849i) q^{42} +(-5.47731 - 3.16233i) q^{43} +(-6.76235 + 6.76235i) q^{44} +(2.14054 - 0.573555i) q^{45} +(-10.4018 + 2.78716i) q^{46} +(-5.82732 + 5.82732i) q^{47} +(3.22397 + 1.86136i) q^{48} +(1.19770 - 6.89677i) q^{49} +(0.0468819 - 0.174966i) q^{50} +2.62855i q^{51} +(-7.32877 - 2.29744i) q^{52} +9.24486 q^{53} +(-0.525993 + 1.96303i) q^{54} +(-8.61605 + 4.97448i) q^{55} +(0.697326 + 0.0600996i) q^{56} +(-4.40235 + 4.40235i) q^{57} +(-2.17121 - 8.10305i) q^{58} +(1.27986 + 4.77649i) q^{59} +(-3.33794 - 3.33794i) q^{60} +(-3.33568 - 1.92586i) q^{61} +(-3.50831 - 6.07658i) q^{62} +(-0.462799 - 2.60496i) q^{63} -9.00526i q^{64} +(-6.74585 - 4.28192i) q^{65} -9.12394i q^{66} +(10.1688 + 2.72472i) q^{67} +(4.84909 - 2.79963i) q^{68} +(2.64942 - 4.58893i) q^{69} +(11.2022 + 4.06086i) q^{70} +(3.56722 + 13.3131i) q^{71} +(0.255528 - 0.0684684i) q^{72} +(-11.8088 + 11.8088i) q^{73} +(0.114226 - 0.197846i) q^{74} +(0.0445651 + 0.0771890i) q^{75} +(12.8102 + 3.43249i) q^{76} +(5.03382 + 10.7587i) q^{77} +(6.49397 - 3.39420i) q^{78} -13.3186 q^{79} +(2.13518 - 7.96862i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(7.97912 - 13.8202i) q^{82} +(5.15552 + 5.15552i) q^{83} +(-4.31266 + 3.62827i) q^{84} +(5.62651 - 1.50762i) q^{85} +(-9.08878 - 9.08878i) q^{86} +(3.57480 + 2.06391i) q^{87} +(-1.02854 + 0.593831i) q^{88} +(7.93017 + 2.12488i) q^{89} +4.50363 q^{90} +(-5.78489 + 7.58518i) q^{91} -11.2874 q^{92} +(3.33494 + 0.893595i) q^{93} +(-14.5044 + 8.37409i) q^{94} +(11.9484 + 6.89840i) q^{95} +(5.72381 + 5.72381i) q^{96} +(-1.93349 + 0.518076i) q^{97} +(5.97879 - 12.9086i) q^{98} +(3.17456 + 3.17456i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q - 2 q^{2} + 6 q^{4} - 2 q^{5} + 2 q^{6} - 2 q^{7} + 2 q^{8} + 16 q^{9}+O(q^{10}) $ 32 * q - 2 * q^2 + 6 * q^4 - 2 * q^5 + 2 * q^6 - 2 * q^7 + 2 * q^8 + 16 * q^9	$ 32 q - 2 q^{2} + 6 q^{4} - 2 q^{5} + 2 q^{6} - 2 q^{7} + 2 q^{8} + 16 q^{9} - 2 q^{10} - 4 q^{11} - 32 q^{12} - 6 q^{13} + 34 q^{14} + 4 q^{15} + 14 q^{16} + 8 q^{17} + 2 q^{18} - 2 q^{19} - 44 q^{20} + 2 q^{21} - 4 q^{22} - 18 q^{23} - 4 q^{24} + 28 q^{26} - 18 q^{28} - 18 q^{29} + 14 q^{31} - 8 q^{32} - 4 q^{33} + 66 q^{34} - 20 q^{35} + 6 q^{36} - 24 q^{37} - 24 q^{38} + 8 q^{39} + 16 q^{42} - 6 q^{43} - 20 q^{44} - 4 q^{45} - 58 q^{46} + 28 q^{47} + 60 q^{48} + 10 q^{49} + 70 q^{50} - 28 q^{52} - 80 q^{53} + 4 q^{54} - 60 q^{55} - 120 q^{56} + 16 q^{57} - 4 q^{58} + 42 q^{59} - 58 q^{60} - 36 q^{61} - 52 q^{62} + 2 q^{63} + 14 q^{65} + 26 q^{67} + 72 q^{68} - 2 q^{69} + 68 q^{70} - 4 q^{71} + 4 q^{72} - 12 q^{73} - 18 q^{74} - 16 q^{75} + 48 q^{76} - 28 q^{77} - 14 q^{78} - 4 q^{79} + 98 q^{80} - 16 q^{81} - 20 q^{82} + 36 q^{83} + 32 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} + 54 q^{89} - 4 q^{90} - 54 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} - 22 q^{96} + 40 q^{97} + 4 q^{99}+O(q^{100}) $ 32 * q - 2 * q^2 + 6 * q^4 - 2 * q^5 + 2 * q^6 - 2 * q^7 + 2 * q^8 + 16 * q^9 - 2 * q^10 - 4 * q^11 - 32 * q^12 - 6 * q^13 + 34 * q^14 + 4 * q^15 + 14 * q^16 + 8 * q^17 + 2 * q^18 - 2 * q^19 - 44 * q^20 + 2 * q^21 - 4 * q^22 - 18 * q^23 - 4 * q^24 + 28 * q^26 - 18 * q^28 - 18 * q^29 + 14 * q^31 - 8 * q^32 - 4 * q^33 + 66 * q^34 - 20 * q^35 + 6 * q^36 - 24 * q^37 - 24 * q^38 + 8 * q^39 + 16 * q^42 - 6 * q^43 - 20 * q^44 - 4 * q^45 - 58 * q^46 + 28 * q^47 + 60 * q^48 + 10 * q^49 + 70 * q^50 - 28 * q^52 - 80 * q^53 + 4 * q^54 - 60 * q^55 - 120 * q^56 + 16 * q^57 - 4 * q^58 + 42 * q^59 - 58 * q^60 - 36 * q^61 - 52 * q^62 + 2 * q^63 + 14 * q^65 + 26 * q^67 + 72 * q^68 - 2 * q^69 + 68 * q^70 - 4 * q^71 + 4 * q^72 - 12 * q^73 - 18 * q^74 - 16 * q^75 + 48 * q^76 - 28 * q^77 - 14 * q^78 - 4 * q^79 + 98 * q^80 - 16 * q^81 - 20 * q^82 + 36 * q^83 + 32 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 + 54 * q^89 - 4 * q^90 - 54 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 - 22 * q^96 + 40 * q^97 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{1}{12}\right)$	$-1$

Coefficient data

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

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

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

$2$	1.96303	+	0.525993i	1.38807	+	0.371933i	0.874047	−	0.485841i	$-0.161486\pi$
$2$	1.96303	+	0.525993i	1.38807	+	0.371933i	0.514027	+	0.857774i	$0.328153\pi$
$3$	−0.866025	+	0.500000i	−0.500000	+	0.288675i
$3$	−0.866025	+	0.500000i	−0.500000	+	0.288675i
$4$	1.84478	+	1.06508i	0.922391	+	0.532542i
$5$	1.56698	+	1.56698i	0.700776	+	0.700776i	0.964577	−	0.263801i	$-0.0849763\pi$
$5$	1.56698	+	1.56698i	0.700776	+	0.700776i	−0.263801	+	0.964577i	$0.584976\pi$
$6$	−1.96303	+	0.525993i	−0.801405	+	0.214736i
$7$	2.02456	−	1.70328i	0.765213	−	0.643778i
$7$	2.02456	−	1.70328i	0.765213	−	0.643778i
$8$	0.187059	+	0.187059i	0.0661354	+	0.0661354i
$9$	0.500000	−	0.866025i	0.166667	−	0.288675i
$10$	2.25182	+	3.90026i	0.712087	+	1.23337i
$11$	−1.16197	+	4.33653i	−0.350347	+	1.30751i	0.535893	+	0.844286i	$0.319975\pi$
$11$	−1.16197	+	4.33653i	−0.350347	+	1.30751i	−0.886240	+	0.463227i	$0.846692\pi$
$12$	−2.13017			−0.614927
$13$	−3.51879	+	0.786201i	−0.975937	+	0.218053i
$13$	−3.51879	+	0.786201i	−0.975937	+	0.218053i
$14$	4.87020	−	2.27868i	1.30161	−	0.609003i
$15$	−2.14054	−	0.573555i	−0.552685	−	0.148091i
$16$	−1.86136	−	3.22397i	−0.465340	−	0.805992i
$17$	1.31427	−	2.27639i	0.318758	−	0.552105i	−0.661471	−	0.749971i	$-0.730068\pi$
$17$	1.31427	−	2.27639i	0.318758	−	0.552105i	0.980229	+	0.197865i	$0.0634009\pi$
$18$	1.43704	−	1.43704i	0.338714	−	0.338714i
$19$	6.01372	−	1.61137i	1.37964	−	0.369674i	0.508650	−	0.860973i	$-0.330145\pi$
$19$	6.01372	−	1.61137i	1.37964	−	0.369674i	0.870991	+	0.491299i	$0.163478\pi$
$20$	1.22177	+	4.55971i	0.273196	+	1.01958i
$21$	−0.901685	+	2.48736i	−0.196764	+	0.542787i
$22$	−4.56197	+	7.90156i	−0.972615	+	1.68462i
$23$	−4.58893	+	2.64942i	−0.956859	+	0.552443i	−0.895205	−	0.445655i	$-0.852971\pi$
$23$	−4.58893	+	2.64942i	−0.956859	+	0.552443i	−0.0616538	+	0.998098i	$0.519637\pi$
$24$	−0.255528	−	0.0684684i	−0.0521594	−	0.0139761i
$25$		−	0.0891302i		−	0.0178260i
$26$	−7.32104	−	0.307521i	−1.43577	−	0.0603099i
$27$			1.00000i			0.192450i
$28$	5.54901	−	0.985840i	1.04866	−	0.186306i
$29$	−2.06391	−	3.57480i	−0.383258	−	0.663823i	0.608267	−	0.793732i	$-0.291865\pi$
$29$	−2.06391	−	3.57480i	−0.383258	−	0.663823i	−0.991526	+	0.129909i	$0.958531\pi$
$30$	−3.90026	−	2.25182i	−0.712087	−	0.411124i
$31$	−2.44135	−	2.44135i	−0.438479	−	0.438479i	0.453021	−	0.891500i	$-0.350346\pi$
$31$	−2.44135	−	2.44135i	−0.438479	−	0.438479i	−0.891500	+	0.453021i	$0.850346\pi$
$32$	−2.09506	−	7.81887i	−0.370358	−	1.38219i
$33$	−1.16197	−	4.33653i	−0.202273	−	0.754893i
$34$	3.77733	−	3.77733i	0.647807	−	0.647807i
$35$	5.84146	+	0.503451i	0.987387	+	0.0850987i
$36$	1.84478	−	1.06508i	0.307464	−	0.177514i
$37$	0.0290943	−	0.108582i	0.00478308	−	0.0178507i	−0.963493	−	0.267733i	$-0.913725\pi$
$37$	0.0290943	−	0.108582i	0.00478308	−	0.0178507i	0.968276	+	0.249883i	$0.0803920\pi$
$38$	12.6527			2.05254
$39$	2.65426	−	2.44027i	0.425022	−	0.390755i
$40$			0.586237i			0.0926922i
$41$	2.03234	−	7.58481i	0.317399	−	1.18455i	−0.604336	−	0.796729i	$-0.706562\pi$
$41$	2.03234	−	7.58481i	0.317399	−	1.18455i	0.921735	−	0.387819i	$-0.126772\pi$
$42$	−3.07837	+	4.40849i	−0.475003	+	0.680245i
$43$	−5.47731	−	3.16233i	−0.835282	−	0.482250i	0.0203758	−	0.999792i	$-0.493514\pi$
$43$	−5.47731	−	3.16233i	−0.835282	−	0.482250i	−0.855658	+	0.517542i	$0.826847\pi$
$44$	−6.76235	+	6.76235i	−1.01946	+	1.01946i
$45$	2.14054	−	0.573555i	0.319093	−	0.0855006i
$46$	−10.4018	+	2.78716i	−1.53366	+	0.410944i
$47$	−5.82732	+	5.82732i	−0.850002	+	0.850002i	−0.990133	−	0.140131i	$-0.955248\pi$
$47$	−5.82732	+	5.82732i	−0.850002	+	0.850002i	0.140131	+	0.990133i	$0.455248\pi$
$48$	3.22397	+	1.86136i	0.465340	+	0.268664i
$49$	1.19770	−	6.89677i	0.171101	−	0.985254i
$50$	0.0468819	−	0.174966i	0.00663010	−	0.0247439i
$51$			2.62855i			0.368070i
$52$	−7.32877	−	2.29744i	−1.01632	−	0.318598i
$53$	9.24486			1.26988			0.634940	−	0.772562i	$-0.281025\pi$
$53$	9.24486			1.26988			0.634940	+	0.772562i	$0.281025\pi$
$54$	−0.525993	+	1.96303i	−0.0715786	+	0.267135i
$55$	−8.61605	+	4.97448i	−1.16179	+	0.670759i
$56$	0.697326	+	0.0600996i	0.0931842	+	0.00803115i
$57$	−4.40235	+	4.40235i	−0.583105	+	0.583105i
$58$	−2.17121	−	8.10305i	−0.285093	−	1.06398i
$59$	1.27986	+	4.77649i	0.166623	+	0.621846i	0.997828	+	0.0658791i	$0.0209852\pi$
$59$	1.27986	+	4.77649i	0.166623	+	0.621846i	−0.831205	+	0.555967i	$0.812348\pi$
$60$	−3.33794	−	3.33794i	−0.430926	−	0.430926i
$61$	−3.33568	−	1.92586i	−0.427090	−	0.246581i	0.271016	−	0.962575i	$-0.412640\pi$
$61$	−3.33568	−	1.92586i	−0.427090	−	0.246581i	−0.698106	+	0.715994i	$0.745974\pi$
$62$	−3.50831	−	6.07658i	−0.445556	−	0.771726i
$63$	−0.462799	−	2.60496i	−0.0583072	−	0.328194i
$64$		−	9.00526i		−	1.12566i
$65$	−6.74585	−	4.28192i	−0.836719	−	0.531107i
$66$		−	9.12394i		−	1.12308i
$67$	10.1688	+	2.72472i	1.24232	+	0.332878i	0.819364	−	0.573273i	$-0.194327\pi$
$67$	10.1688	+	2.72472i	1.24232	+	0.332878i	0.422954	+	0.906151i	$0.360993\pi$
$68$	4.84909	−	2.79963i	0.588039	−	0.339505i
$69$	2.64942	−	4.58893i	0.318953	−	0.552443i
$70$	11.2022	+	4.06086i	1.33891	+	0.485365i
$71$	3.56722	+	13.3131i	0.423352	+	1.57997i	0.767496	+	0.641053i	$0.221502\pi$
$71$	3.56722	+	13.3131i	0.423352	+	1.57997i	−0.344145	+	0.938917i	$0.611831\pi$
$72$	0.255528	−	0.0684684i	0.0301142	−	0.00806908i
$73$	−11.8088	+	11.8088i	−1.38211	+	1.38211i	−0.541259	+	0.840856i	$0.682052\pi$
$73$	−11.8088	+	11.8088i	−1.38211	+	1.38211i	−0.840856	+	0.541259i	$0.817948\pi$
$74$	0.114226	−	0.197846i	0.0132785	−	0.0229991i
$75$	0.0445651	+	0.0771890i	0.00514593	+	0.00891302i
$76$	12.8102	+	3.43249i	1.46944	+	0.393734i
$77$	5.03382	+	10.7587i	0.573657	+	1.22607i
$78$	6.49397	−	3.39420i	0.735297	−	0.384317i
$79$	−13.3186			−1.49846			−0.749229	−	0.662311i	$-0.769576\pi$
$79$	−13.3186			−1.49846			−0.749229	+	0.662311i	$0.769576\pi$
$80$	2.13518	−	7.96862i	0.238721	−	0.890918i
$81$	−0.500000	−	0.866025i	−0.0555556	−	0.0962250i
$82$	7.97912	−	13.8202i	0.881146	−	1.52619i
$83$	5.15552	+	5.15552i	0.565892	+	0.565892i	0.930975	−	0.365083i	$-0.118959\pi$
$83$	5.15552	+	5.15552i	0.565892	+	0.565892i	−0.365083	+	0.930975i	$0.618959\pi$
$84$	−4.31266	+	3.62827i	−0.470550	+	0.395876i
$85$	5.62651	−	1.50762i	0.610280	−	0.163524i
$86$	−9.08878	−	9.08878i	−0.980068	−	0.980068i
$87$	3.57480	+	2.06391i	0.383258	+	0.221274i
$88$	−1.02854	+	0.593831i	−0.109643	+	0.0633025i
$89$	7.93017	+	2.12488i	0.840596	+	0.225237i	0.653331	−	0.757072i	$-0.273371\pi$
$89$	7.93017	+	2.12488i	0.840596	+	0.225237i	0.187265	+	0.982309i	$0.440038\pi$
$90$	4.50363			0.474725
$91$	−5.78489	+	7.58518i	−0.606422	+	0.795143i
$92$	−11.2874			−1.17680
$93$	3.33494	+	0.893595i	0.345817	+	0.0926615i
$94$	−14.5044	+	8.37409i	−1.49601	+	0.863722i
$95$	11.9484	+	6.89840i	1.22588	+	0.707761i
$96$	5.72381	+	5.72381i	0.584184	+	0.584184i
$97$	−1.93349	+	0.518076i	−0.196316	+	0.0526027i	−0.355637	−	0.934624i	$-0.615736\pi$
$97$	−1.93349	+	0.518076i	−0.196316	+	0.0526027i	0.159321	+	0.987227i	$0.449069\pi$
$98$	5.97879	−	12.9086i	0.603949	−	1.30397i
$99$	3.17456	+	3.17456i	0.319055	+	0.319055i
$100$	0.0949312	−	0.164426i	0.00949312	−	0.0164426i
$101$	4.49537	+	7.78621i	0.447306	+	0.774757i	0.998210	−	0.0598118i	$-0.0190500\pi$
$101$	4.49537	+	7.78621i	0.447306	+	0.774757i	−0.550903	+	0.834569i	$0.685717\pi$
$102$	−1.38260	+	5.15993i	−0.136898	+	0.510909i
$103$	5.08145			0.500690			0.250345	−	0.968157i	$-0.419456\pi$
$103$	5.08145			0.500690			0.250345	+	0.968157i	$0.419456\pi$
$104$	−0.805288	−	0.511156i	−0.0789650	−	0.0501230i
$105$	−5.31058	+	2.48473i	−0.518259	+	0.242485i
$106$	18.1480	+	4.86273i	1.76269	+	0.472310i
$107$	0.521017	+	0.902428i	0.0503686	+	0.0872410i	0.890110	−	0.455745i	$-0.150627\pi$
$107$	0.521017	+	0.902428i	0.0503686	+	0.0872410i	−0.839742	+	0.542986i	$0.817294\pi$
$108$	−1.06508	+	1.84478i	−0.102488	+	0.177514i
$109$	2.86707	−	2.86707i	0.274616	−	0.274616i	−0.556339	−	0.830955i	$-0.687795\pi$
$109$	2.86707	−	2.86707i	0.274616	−	0.274616i	0.830955	+	0.556339i	$0.187795\pi$
$110$	−19.5301	+	5.23309i	−1.86213	+	0.498955i
$111$	0.0290943	+	0.108582i	0.00276151	+	0.0103061i
$112$	−9.25974	−	3.35672i	−0.874963	−	0.317180i
$113$	4.39010	−	7.60388i	0.412986	−	0.715313i	−0.582229	−	0.813025i	$-0.697819\pi$
$113$	4.39010	−	7.60388i	0.412986	−	0.715313i	0.995215	+	0.0977122i	$0.0311525\pi$
$114$	−10.9576	+	6.32635i	−1.02627	+	0.592517i
$115$	−11.3424	−	3.03918i	−1.05768	−	0.283405i
$116$		−	8.79296i		−	0.816406i
$117$	−1.07853	+	3.44046i	−0.0997097	+	0.318071i
$118$			10.0496i			0.925141i
$119$	−1.21649	−	6.84726i	−0.111515	−	0.627687i
$120$	−0.293119	−	0.507696i	−0.0267579	−	0.0463461i
$121$	−7.92903	−	4.57783i	−0.720821	−	0.416166i
$122$	−5.53507	−	5.53507i	−0.501121	−	0.501121i
$123$	2.03234	+	7.58481i	0.183250	+	0.683900i
$124$	−1.90351	−	7.10399i	−0.170940	−	0.637957i
$125$	7.97458	−	7.97458i	0.713268	−	0.713268i
$126$	0.461702	−	5.35705i	0.0411317	−	0.477244i
$127$	−6.20223	+	3.58086i	−0.550359	+	0.317750i	−0.749267	−	0.662268i	$-0.769594\pi$
$127$	−6.20223	+	3.58086i	−0.550359	+	0.317750i	0.198908	+	0.980018i	$0.436261\pi$
$128$	0.546587	−	2.03989i	0.0483119	−	0.180303i
$129$	6.32465			0.556855
$130$	−10.9901	−	11.9538i	−0.963892	−	1.04842i
$131$			8.06442i			0.704591i	0.935889	+	0.352296i	$0.114599\pi$
$131$			8.06442i			0.704591i	−0.935889	+	0.352296i	$0.885401\pi$
$132$	2.47519	−	9.23754i	0.215438	−	0.804025i
$133$	9.43054	−	13.5053i	0.817731	−	1.17106i
$134$	18.5285	+	10.6975i	1.60062	+	0.924119i
$135$	−1.56698	+	1.56698i	−0.134864	+	0.134864i
$136$	0.671666	−	0.179972i	0.0575949	−	0.0154325i
$137$	−4.00328	+	1.07268i	−0.342023	+	0.0916449i	−0.425742	−	0.904845i	$-0.639987\pi$
$137$	−4.00328	+	1.07268i	−0.342023	+	0.0916449i	0.0837188	+	0.996489i	$0.473320\pi$
$138$	7.61465	−	7.61465i	0.648202	−	0.648202i
$139$	−14.1275	−	8.15651i	−1.19828	−	0.691826i	−0.238107	−	0.971239i	$-0.576527\pi$
$139$	−14.1275	−	8.15651i	−1.19828	−	0.691826i	−0.960171	+	0.279413i	$0.909860\pi$
$140$	10.2400	+	7.15040i	0.865437	+	0.604319i
$141$	2.13295	−	7.96026i	0.179627	−	0.670375i
$142$			28.0103i			2.35057i
$143$	0.679344	−	16.1729i	0.0568096	−	1.35244i
$144$	−3.72272			−0.310226
$145$	2.36753	−	8.83576i	0.196613	−	0.733770i
$146$	−29.3924	+	16.9697i	−2.43253	+	1.40442i
$147$	2.41114	+	6.57163i	0.198868	+	0.542019i
$148$	0.169321	−	0.169321i	0.0139181	−	0.0139181i
$149$	−1.57172	−	5.86575i	−0.128761	−	0.480541i	0.871185	−	0.490955i	$-0.163352\pi$
$149$	−1.57172	−	5.86575i	−0.128761	−	0.480541i	−0.999946	+	0.0104133i	$0.996685\pi$
$150$	0.0468819	+	0.174966i	0.00382789	+	0.0142859i
$151$	13.6338	+	13.6338i	1.10950	+	1.10950i	0.993216	+	0.116285i	$0.0370987\pi$
$151$	13.6338	+	13.6338i	1.10950	+	1.10950i	0.116285	+	0.993216i	$0.462901\pi$
$152$	1.42634	+	0.823499i	0.115692	+	0.0667946i
$153$	−1.31427	−	2.27639i	−0.106253	−	0.184035i
$154$	4.22255	+	23.7675i	0.340263	+	1.91524i
$155$		−	7.65110i		−	0.614551i
$156$	7.49562	−	1.67474i	0.600130	−	0.134087i
$157$			8.31072i			0.663268i	0.943408	+	0.331634i	$0.107600\pi$
$157$			8.31072i			0.663268i	−0.943408	+	0.331634i	$0.892400\pi$
$158$	−26.1448	−	7.00549i	−2.07997	−	0.557327i
$159$	−8.00628	+	4.62243i	−0.634940	+	0.366583i
$160$	8.96911	−	15.5350i	0.709071	−	1.22815i
$161$	−4.77789	+	13.1801i	−0.376550	+	1.03874i
$162$	−0.525993	−	1.96303i	−0.0413259	−	0.154230i
$163$	0.385067	−	0.103178i	0.0301607	−	0.00808155i	−0.243707	−	0.969849i	$-0.578364\pi$
$163$	0.385067	−	0.103178i	0.0301607	−	0.00808155i	0.273868	+	0.961767i	$0.411697\pi$
$164$	11.8277	−	11.8277i	0.923588	−	0.923588i
$165$	4.97448	−	8.61605i	0.387263	−	0.670759i
$166$	7.40869	+	12.8322i	0.575026	+	0.995974i
$167$	−19.9784	−	5.35319i	−1.54597	−	0.414243i	−0.617784	−	0.786348i	$-0.711969\pi$
$167$	−19.9784	−	5.35319i	−1.54597	−	0.414243i	−0.928191	+	0.372105i	$0.878636\pi$
$168$	−0.633952	+	0.296615i	−0.0489105	+	0.0228844i
$169$	11.7638	−	5.53295i	0.904906	−	0.425612i
$170$	11.8380			0.907934
$171$	1.61137	−	6.01372i	0.123225	−	0.459880i
$172$	−6.73629	−	11.6676i	−0.513637	−	0.889646i
$173$	−9.58243	+	16.5973i	−0.728539	+	1.26187i	0.228962	+	0.973435i	$0.426467\pi$
$173$	−9.58243	+	16.5973i	−0.728539	+	1.26187i	−0.957501	+	0.288431i	$0.906867\pi$
$174$	5.93184	+	5.93184i	0.449692	+	0.449692i
$175$	−0.151813	−	0.180450i	−0.0114760	−	0.0136407i
$176$	16.1437	−	4.32568i	1.21687	−	0.326061i
$177$	−3.49663	−	3.49663i	−0.262823	−	0.262823i
$178$	14.4495	+	8.34243i	1.08304	+	0.625292i
$179$	−5.86324	+	3.38514i	−0.438239	+	0.253018i	−0.702850	−	0.711338i	$-0.748090\pi$
$179$	−5.86324	+	3.38514i	−0.438239	+	0.253018i	0.264611	+	0.964355i	$0.414756\pi$
$180$	4.55971	+	1.22177i	0.339861	+	0.0910654i
$181$	16.5594			1.23085			0.615424	−	0.788197i	$-0.288985\pi$
$181$	16.5594			1.23085			0.615424	+	0.788197i	$0.288985\pi$
$182$	−15.3457	+	11.8472i	−1.13750	+	0.878169i
$183$	3.85171			0.284727
$184$	−1.35400	−	0.362803i	−0.0998183	−	0.0267462i
$185$	0.215736	−	0.124555i	0.0158612	−	0.00915747i
$186$	6.07658	+	3.50831i	0.445556	+	0.257242i
$187$	8.34448	+	8.34448i	0.610209	+	0.610209i
$188$	−16.9567	+	4.54354i	−1.23670	+	0.331372i
$189$	1.70328	+	2.02456i	0.123895	+	0.147265i
$190$	19.8266	+	19.8266i	1.43837	+	1.43837i
$191$	4.44834	−	7.70475i	0.321870	−	0.557496i	−0.659003	−	0.752140i	$-0.729022\pi$
$191$	4.44834	−	7.70475i	0.321870	−	0.557496i	0.980874	+	0.194644i	$0.0623551\pi$
$192$	4.50263	+	7.79879i	0.324949	+	0.562829i
$193$	−1.15868	+	4.32426i	−0.0834038	+	0.311267i	−0.995007	−	0.0998038i	$-0.968178\pi$
$193$	−1.15868	+	4.32426i	−0.0834038	+	0.311267i	0.911603	+	0.411071i	$0.134845\pi$
$194$	−4.06800			−0.292066
$195$	7.98304	+	0.335329i	0.571677	+	0.0240134i
$196$	9.55515	−	11.4474i	0.682511	−	0.817670i
$197$	1.57369	+	0.421669i	0.112121	+	0.0300427i	0.314443	−	0.949276i	$-0.398182\pi$
$197$	1.57369	+	0.421669i	0.112121	+	0.0300427i	−0.202322	+	0.979319i	$0.564849\pi$
$198$	4.56197	+	7.90156i	0.324205	+	0.561540i
$199$	6.21777	−	10.7695i	0.440766	−	0.763429i	−0.556981	−	0.830526i	$-0.688040\pi$
$199$	6.21777	−	10.7695i	0.440766	−	0.763429i	0.997746	+	0.0670965i	$0.0213736\pi$
$200$	0.0166726	−	0.0166726i	0.00117893	−	0.00117893i
$201$	−10.1688	+	2.72472i	−0.717253	+	0.192187i
$202$	4.72907	+	17.6491i	0.332736	+	1.24179i
$203$	−10.2674	−	3.72199i	−0.720629	−	0.261233i
$204$	−2.79963	+	4.84909i	−0.196013	+	0.339505i
$205$	15.0699	−	8.70062i	1.05253	−	0.607678i
$206$	9.97506	+	2.67281i	0.694995	+	0.186223i
$207$			5.29884i			0.368295i
$208$	9.08442	+	9.88106i	0.629891	+	0.685128i
$209$			27.9510i			1.93341i
$210$	−11.7318	+	2.08428i	−0.809570	+	0.143829i
$211$	0.111585	+	0.193271i	0.00768182	+	0.0133053i	0.869841	−	0.493333i	$-0.164221\pi$
$211$	0.111585	+	0.193271i	0.00768182	+	0.0133053i	−0.862159	+	0.506638i	$0.830888\pi$
$212$	17.0547	+	9.84656i	1.17132	+	0.676264i
$213$	−9.74584	−	9.74584i	−0.667774	−	0.667774i
$214$	0.548103	+	2.04555i	0.0374676	+	0.139831i
$215$	−3.62754	−	13.5382i	−0.247396	−	0.923295i
$216$	−0.187059	+	0.187059i	−0.0127278	+	0.0127278i
$217$	−9.10094	−	0.784372i	−0.617812	−	0.0532467i
$218$	7.13622	−	4.12010i	0.483326	−	0.279048i
$219$	4.32232	−	16.1311i	0.292075	−	1.09004i
$220$	−21.1930			−1.42883
$221$	−2.83496	+	9.04342i	−0.190700	+	0.608326i
$222$			0.228453i			0.0153327i
$223$	1.45774	−	5.44036i	0.0976174	−	0.364313i	−0.899786	−	0.436332i	$-0.856277\pi$
$223$	1.45774	−	5.44036i	0.0976174	−	0.364313i	0.997403	+	0.0720186i	$0.0229441\pi$
$224$	−17.5593	−	12.2613i	−1.17323	−	0.819244i
$225$	−0.0771890	−	0.0445651i	−0.00514593	−	0.00297101i
$226$	12.6175	−	12.6175i	0.839304	−	0.839304i
$227$	−4.17248	+	1.11801i	−0.276937	+	0.0742050i	−0.394614	−	0.918847i	$-0.629122\pi$
$227$	−4.17248	+	1.11801i	−0.276937	+	0.0742050i	0.117677	+	0.993052i	$0.462455\pi$
$228$	−12.8102	+	3.43249i	−0.848379	+	0.227322i
$229$	16.9969	−	16.9969i	1.12319	−	1.12319i	0.131929	−	0.991259i	$-0.457883\pi$
$229$	16.9969	−	16.9969i	1.12319	−	1.12319i	0.991259	−	0.131929i	$-0.0421171\pi$
$230$	−20.6669	−	11.9320i	−1.36273	−	0.786775i
$231$	−9.73878	−	6.80042i	−0.640765	−	0.447435i
$232$	0.282625	−	1.05477i	0.0185553	−	0.0692492i
$233$		−	13.6445i		−	0.893880i	−0.894564	−	0.446940i	$-0.852514\pi$
$233$		−	13.6445i		−	0.893880i	0.894564	−	0.446940i	$-0.147486\pi$
$234$	−3.92684	+	6.18645i	−0.256706	+	0.404421i
$235$	−18.2626			−1.19132
$236$	−2.72631	+	10.1747i	−0.177468	+	0.662319i
$237$	11.5342	−	6.65929i	0.749229	−	0.432568i
$238$	1.21361	−	14.0813i	0.0786664	−	0.912753i
$239$	−4.70084	+	4.70084i	−0.304072	+	0.304072i	−0.842605	−	0.538533i	$-0.818979\pi$
$239$	−4.70084	+	4.70084i	−0.304072	+	0.304072i	0.538533	+	0.842605i	$0.318979\pi$
$240$	2.13518	+	7.96862i	0.137826	+	0.514372i
$241$	−4.03655	−	15.0646i	−0.260017	−	0.970397i	−0.965230	−	0.261401i	$-0.915815\pi$
$241$	−4.03655	−	15.0646i	−0.260017	−	0.970397i	0.705213	−	0.708995i	$-0.250851\pi$
$242$	−13.1570	−	13.1570i	−0.845767	−	0.845767i
$243$	0.866025	+	0.500000i	0.0555556	+	0.0320750i
$244$	−4.10240	−	7.10557i	−0.262629	−	0.454887i
$245$	12.6839	−	8.93034i	0.810345	−	0.570539i
$246$			15.9582i			1.01746i
$247$	−19.8941	+	10.3981i	−1.26583	+	0.661613i
$248$		−	0.913353i		−	0.0579980i
$249$	−7.04257	−	1.88705i	−0.446305	−	0.119587i
$250$	19.8489	−	11.4598i	1.25536	−	0.724781i
$251$	2.67179	−	4.62768i	0.168642	−	0.292096i	−0.769301	−	0.638887i	$-0.779395\pi$
$251$	2.67179	−	4.62768i	0.168642	−	0.292096i	0.937943	+	0.346791i	$0.112729\pi$
$252$	1.92074	−	5.29850i	0.120995	−	0.333774i
$253$	−6.15709	−	22.9786i	−0.387093	−	1.44465i
$254$	−14.0587	+	3.76701i	−0.882120	+	0.236363i
$255$	−4.11889	+	4.11889i	−0.257935	+	0.257935i
$256$	−6.85933	+	11.8807i	−0.428708	+	0.742544i
$257$	−7.85983	−	13.6136i	−0.490283	−	0.849195i	0.509655	−	0.860379i	$-0.329773\pi$
$257$	−7.85983	−	13.6136i	−0.490283	−	0.849195i	−0.999937	+	0.0111844i	$0.996440\pi$
$258$	12.4155	+	3.32672i	0.772956	+	0.207113i
$259$	−0.126041	−	0.269386i	−0.00783180	−	0.0167388i
$260$	−7.88400	−	15.0841i	−0.488945	−	0.935477i
$261$	−4.12782			−0.255506
$262$	−4.24183	+	15.8307i	−0.262061	+	0.978025i
$263$	3.44067	+	5.95942i	0.212161	+	0.367473i	0.952391	−	0.304881i	$-0.0986166\pi$
$263$	3.44067	+	5.95942i	0.212161	+	0.367473i	−0.740230	+	0.672354i	$0.765283\pi$
$264$	0.593831	−	1.02854i	0.0365477	−	0.0633025i
$265$	14.4865	+	14.4865i	0.889901	+	0.889901i
$266$	25.6162	−	21.5510i	1.57063	−	1.32138i
$267$	−7.93017	+	2.12488i	−0.485318	+	0.130041i
$268$	15.8572	+	15.8572i	0.968631	+	0.968631i
$269$	18.7176	+	10.8066i	1.14123	+	0.658890i	0.946735	−	0.322013i	$-0.104360\pi$
$269$	18.7176	+	10.8066i	1.14123	+	0.658890i	0.194496	+	0.980903i	$0.437693\pi$
$270$	−3.90026	+	2.25182i	−0.237362	+	0.137041i
$271$	5.82362	+	1.56043i	0.353760	+	0.0947896i	0.431322	−	0.902198i	$-0.358047\pi$
$271$	5.82362	+	1.56043i	0.353760	+	0.0947896i	−0.0775628	+	0.996987i	$0.524714\pi$
$272$	−9.78534			−0.593323
$273$	1.21727	−	9.46141i	0.0736728	−	0.572630i
$274$	−8.42279			−0.508840
$275$	0.386516	+	0.103567i	0.0233078	+	0.00624530i
$276$	9.77521	−	5.64372i	0.588398	−	0.339712i
$277$	−17.1918	−	9.92569i	−1.03295	−	0.596377i	−0.115125	−	0.993351i	$-0.536727\pi$
$277$	−17.1918	−	9.92569i	−1.03295	−	0.596377i	−0.917830	+	0.396974i	$0.870060\pi$
$278$	−23.4425	−	23.4425i	−1.40599	−	1.40599i
$279$	−3.33494	+	0.893595i	−0.199658	+	0.0534981i
$280$	0.998523	+	1.18687i	0.0596732	+	0.0709293i
$281$	−15.4156	−	15.4156i	−0.919617	−	0.919617i	0.0773842	−	0.997001i	$-0.475343\pi$
$281$	−15.4156	−	15.4156i	−0.919617	−	0.919617i	−0.997001	+	0.0773842i	$0.975343\pi$
$282$	8.37409	−	14.5044i	0.498670	−	0.863722i
$283$	14.1867	+	24.5721i	0.843314	+	1.46066i	0.887077	+	0.461621i	$0.152732\pi$
$283$	14.1867	+	24.5721i	0.843314	+	1.46066i	−0.0437635	+	0.999042i	$0.513935\pi$
$284$	−7.59879	+	28.3591i	−0.450905	+	1.68280i
$285$	−13.7968			−0.817252
$286$	9.84040	−	31.3906i	0.581875	−	1.85616i
$287$	−8.80442	−	18.8176i	−0.519708	−	1.11077i
$288$	−7.81887	−	2.09506i	−0.460731	−	0.123453i
$289$	5.04537	+	8.73884i	0.296786	+	0.514049i
$290$	9.29510	−	16.0996i	0.545827	−	0.945400i
$291$	1.41541	−	1.41541i	0.0829728	−	0.0829728i
$292$	−34.3620	+	9.20727i	−2.01088	+	0.538815i
$293$	−2.70937	−	10.1115i	−0.158283	−	0.590720i	−0.998802	−	0.0489378i	$-0.984416\pi$
$293$	−2.70937	−	10.1115i	−0.158283	−	0.590720i	0.840519	−	0.541782i	$-0.182250\pi$
$294$	1.27652	+	14.1686i	0.0744483	+	0.826329i
$295$	−5.47916	+	9.49019i	−0.319009	+	0.552540i
$296$	0.0257535	−	0.0148688i	0.00149689	−	0.000864232i
$297$	−4.33653	−	1.16197i	−0.251631	−	0.0674243i
$298$		−	12.3414i		−	0.714917i
$299$	14.0645	−	12.9306i	0.813372	−	0.747795i
$300$			0.189862i			0.0109617i
$301$	−16.4755	+	2.92704i	−0.949630	+	0.168712i
$302$	19.5923	+	33.9348i	1.12741	+	1.95273i
$303$	−7.78621	−	4.49537i	−0.447306	−	0.258252i
$304$	−16.3887	−	16.3887i	−0.939956	−	0.939956i
$305$	−2.20917	−	8.24474i	−0.126497	−	0.472092i
$306$	−1.38260	−	5.15993i	−0.0790379	−	0.294973i
$307$	6.15683	−	6.15683i	0.351389	−	0.351389i	−0.509237	−	0.860626i	$-0.670072\pi$
$307$	6.15683	−	6.15683i	0.351389	−	0.351389i	0.860626	+	0.509237i	$0.170072\pi$
$308$	−2.17265	+	25.2089i	−0.123798	+	1.43641i
$309$	−4.40067	+	2.54073i	−0.250345	+	0.144537i
$310$	4.02442	−	15.0194i	0.228572	−	0.853042i
$311$	5.30855			0.301020			0.150510	−	0.988608i	$-0.451908\pi$
$311$	5.30855			0.301020			0.150510	+	0.988608i	$0.451908\pi$
$312$	0.952978	+	0.0400300i	0.0539518	+	0.00226625i
$313$			18.4802i			1.04456i	0.852774	+	0.522280i	$0.174918\pi$
$313$			18.4802i			1.04456i	−0.852774	+	0.522280i	$0.825082\pi$
$314$	−4.37139	+	16.3142i	−0.246692	+	0.920665i
$315$	3.35673	−	4.80713i	0.189130	−	0.270851i
$316$	−24.5699	−	14.1854i	−1.38216	−	0.797993i
$317$	−14.8596	+	14.8596i	−0.834598	+	0.834598i	−0.988142	−	0.153544i	$-0.950931\pi$
$317$	−14.8596	+	14.8596i	−0.834598	+	0.834598i	0.153544	+	0.988142i	$0.450931\pi$
$318$	−18.1480	+	4.86273i	−1.01769	+	0.272689i
$319$	17.9004	−	4.79640i	1.00223	−	0.268547i
$320$	14.1111	−	14.1111i	0.788834	−	0.788834i
$321$	−0.902428	−	0.521017i	−0.0503686	−	0.0290803i
$322$	−16.3118	+	23.3599i	−0.909022	+	1.30180i
$323$	4.23556	−	15.8073i	0.235673	−	0.879544i
$324$		−	2.13017i		−	0.118343i
$325$	0.0700742	+	0.313631i	0.00388702	+	0.0173971i
$326$	0.810170			0.0448711
$327$	−1.04942	+	3.91650i	−0.0580332	+	0.216583i
$328$	1.79898	−	1.03864i	0.0993319	−	0.0573493i
$329$	−1.87224	+	21.7233i	−0.103220	+	1.19764i
$330$	14.2971	−	14.2971i	0.787027	−	0.787027i
$331$	−7.91671	−	29.5456i	−0.435142	−	1.62397i	−0.740727	−	0.671806i	$-0.765519\pi$
$331$	−7.91671	−	29.5456i	−0.435142	−	1.62397i	0.305586	−	0.952165i	$-0.401148\pi$
$332$	4.01974	+	15.0019i	0.220612	+	0.823335i
$333$	−0.0794872	−	0.0794872i	−0.00435587	−	0.00435587i
$334$	−36.4025	−	21.0170i	−1.99186	−	1.15000i
$335$	11.6648	+	20.2039i	0.637314	+	1.10386i
$336$	9.69753	−	1.72287i	0.529043	−	0.0939902i
$337$		−	2.64409i		−	0.144033i	−0.997403	−	0.0720163i	$-0.977057\pi$
$337$		−	2.64409i		−	0.144033i	0.997403	−	0.0720163i	$-0.0229434\pi$
$338$	26.0030	−	4.67370i	1.41438	−	0.254216i
$339$			8.78021i			0.476875i
$340$	11.9854	+	3.21148i	0.650000	+	0.174167i
$341$	13.4237	−	7.75020i	0.726936	−	0.419697i
$342$	6.32635	−	10.9576i	0.342090	−	0.592517i
$343$	−9.32228	−	16.0030i	−0.503356	−	0.864079i
$344$	−0.433039	−	1.61612i	−0.0233479	−	0.0871355i
$345$	11.3424	−	3.03918i	0.610653	−	0.163624i
$346$	−27.5407	+	27.5407i	−1.48060	+	1.48060i
$347$	1.58944	−	2.75299i	0.0853255	−	0.147788i	−0.820204	−	0.572071i	$-0.806140\pi$
$347$	1.58944	−	2.75299i	0.0853255	−	0.147788i	0.905530	+	0.424283i	$0.139474\pi$
$348$	4.39648	+	7.61492i	0.235676	+	0.408203i
$349$	−20.2719	−	5.43184i	−1.08513	−	0.290760i	−0.328434	−	0.944527i	$-0.606521\pi$
$349$	−20.2719	−	5.43184i	−1.08513	−	0.290760i	−0.756696	+	0.653767i	$0.773188\pi$
$350$	−0.203099	−	0.434081i	−0.0108561	−	0.0232026i
$351$	−0.786201	−	3.51879i	−0.0419643	−	0.187819i
$352$	36.3412			1.93699
$353$	5.34444	−	19.9457i	0.284456	−	1.06160i	−0.664780	−	0.747039i	$-0.731475\pi$
$353$	5.34444	−	19.9457i	0.284456	−	1.06160i	0.949236	−	0.314565i	$-0.101859\pi$
$354$	−5.02480	−	8.70321i	−0.267065	−	0.462570i
$355$	−15.2716	+	26.4511i	−0.810530	+	1.40388i
$356$	12.3662	+	12.3662i	0.655410	+	0.655410i
$357$	4.47714	+	5.32166i	0.236955	+	0.281652i
$358$	−13.2903	+	3.56113i	−0.702414	+	0.188211i
$359$	18.9082	+	18.9082i	0.997935	+	0.997935i	0.999998	−	0.00206292i	$-0.000656647\pi$
$359$	18.9082	+	18.9082i	0.997935	+	0.997935i	−0.00206292	+	0.999998i	$0.500657\pi$
$360$	0.507696	+	0.293119i	0.0267579	+	0.0154487i
$361$	17.1138	−	9.88065i	0.900726	−	0.520034i
$362$	32.5066	+	8.71011i	1.70851	+	0.457793i
$363$	9.15565			0.480547
$364$	−18.7507	+	7.83160i	−0.982805	+	0.410487i
$365$	−37.0084			−1.93711
$366$	7.56104	+	2.02598i	0.395222	+	0.105899i
$367$	20.8759	−	12.0527i	1.08971	−	0.629146i	0.156212	−	0.987724i	$-0.450072\pi$
$367$	20.8759	−	12.0527i	1.08971	−	0.629146i	0.933500	+	0.358578i	$0.116738\pi$
$368$	17.0833	+	9.86304i	0.890528	+	0.514147i
$369$	−5.55247	−	5.55247i	−0.289050	−	0.289050i
$370$	0.489012	−	0.131030i	0.0254225	−	0.00681194i
$371$	18.7168	−	15.7465i	0.971727	−	0.817520i
$372$	5.20048	+	5.20048i	0.269632	+	0.269632i
$373$	−15.4025	+	26.6780i	−0.797514	+	1.38133i	0.123717	+	0.992318i	$0.460518\pi$
$373$	−15.4025	+	26.6780i	−0.797514	+	1.38133i	−0.921231	+	0.389017i	$0.872815\pi$
$374$	11.9914	+	20.7696i	0.620058	+	1.07397i
$375$	−2.91890	+	10.8935i	−0.150731	+	0.562537i
$376$	−2.18011			−0.112430
$377$	10.0730	+	10.9563i	0.518785	+	0.564279i
$378$	2.27868	+	4.87020i	0.117203	+	0.250496i
$379$	16.9707	+	4.54729i	0.871728	+	0.233579i	0.666835	−	0.745206i	$-0.267649\pi$
$379$	16.9707	+	4.54729i	0.871728	+	0.233579i	0.204893	+	0.978784i	$0.434315\pi$
$380$	14.6948	+	25.4521i	0.753826	+	1.30566i
$381$	3.58086	−	6.20223i	0.183453	−	0.317750i
$382$	12.7849	−	12.7849i	0.654132	−	0.654132i
$383$	7.61566	−	2.04061i	0.389142	−	0.104270i	−0.0589428	−	0.998261i	$-0.518773\pi$
$383$	7.61566	−	2.04061i	0.389142	−	0.104270i	0.448085	+	0.893991i	$0.352106\pi$
$384$	0.546587	+	2.03989i	0.0278929	+	0.104098i
$385$	−8.97082	+	24.7467i	−0.457195	+	1.26121i
$386$	−4.54907	+	7.87921i	−0.231541	+	0.401041i
$387$	−5.47731	+	3.16233i	−0.278427	+	0.160750i
$388$	−4.11866	−	1.10359i	−0.209093	−	0.0560263i
$389$			4.32264i			0.219166i	0.993978	+	0.109583i	$0.0349516\pi$
$389$			4.32264i			0.219166i	−0.993978	+	0.109583i	$0.965048\pi$
$390$	15.4946	+	4.85728i	0.784599	+	0.245958i
$391$			13.9283i			0.704382i
$392$	1.51415	−	1.06606i	0.0764760	−	0.0538443i
$393$	−4.03221	−	6.98399i	−0.203398	−	0.352296i
$394$	2.86741	+	1.65550i	0.144458	+	0.0834029i
$395$	−20.8700	−	20.8700i	−1.05008	−	1.05008i
$396$	2.47519	+	9.23754i	0.124383	+	0.464204i
$397$	−8.67254	−	32.3664i	−0.435262	−	1.62442i	−0.740437	−	0.672125i	$-0.765382\pi$
$397$	−8.67254	−	32.3664i	−0.435262	−	1.62442i	0.305175	−	0.952296i	$-0.401285\pi$
$398$	17.8704	−	17.8704i	0.895761	−	0.895761i
$399$	−1.41442	+	16.4112i	−0.0708093	+	0.821589i
$400$	−0.287353	+	0.165903i	−0.0143676	+	0.00829516i
$401$	0.964760	−	3.60053i	0.0481778	−	0.179802i	−0.937644	−	0.347597i	$-0.886998\pi$
$401$	0.964760	−	3.60053i	0.0481778	−	0.179802i	0.985822	+	0.167795i	$0.0536645\pi$
$402$	−21.3949			−1.06708
$403$	10.5100	+	6.67120i	0.523539	+	0.332316i
$404$			19.1518i			0.952838i
$405$	0.573555	−	2.14054i	0.0285002	−	0.106364i
$406$	−18.1975	−	12.7070i	−0.903125	−	0.630636i
$407$	0.437060	+	0.252337i	0.0216643	+	0.0125079i
$408$	−0.491694	+	0.491694i	−0.0243425	+	0.0243425i
$409$	16.1066	−	4.31575i	0.796421	−	0.213400i	0.162409	−	0.986724i	$-0.448074\pi$
$409$	16.1066	−	4.31575i	0.796421	−	0.213400i	0.634012	+	0.773323i	$0.281407\pi$
$410$	34.1592	−	9.15294i	1.68700	−	0.452031i
$411$	2.93060	−	2.93060i	0.144556	−	0.144556i
$412$	9.37417	+	5.41218i	0.461832	+	0.266639i
$413$	10.7268	+	7.49035i	0.527833	+	0.368576i
$414$	−2.78716	+	10.4018i	−0.136981	+	0.511221i
$415$			16.1572i			0.793127i
$416$	13.5193	+	25.8658i	0.662837	+	1.26818i
$417$	16.3130			0.798852
$418$	−14.7020	+	54.8688i	−0.719101	+	2.68372i
$419$	−14.2653	+	8.23605i	−0.696904	+	0.402357i	−0.806193	−	0.591652i	$-0.798476\pi$
$419$	−14.2653	+	8.23605i	−0.696904	+	0.402357i	0.109290	+	0.994010i	$0.465142\pi$
$420$	−12.4433	−	1.07244i	−0.607171	−	0.0523295i
$421$	2.29534	−	2.29534i	0.111868	−	0.111868i	−0.648957	−	0.760825i	$-0.724795\pi$
$421$	2.29534	−	2.29534i	0.111868	−	0.111868i	0.760825	+	0.648957i	$0.224795\pi$
$422$	0.117386	+	0.438090i	0.00571425	+	0.0213259i
$423$	2.13295	+	7.96026i	0.103707	+	0.387041i
$424$	1.72934	+	1.72934i	0.0839840	+	0.0839840i
$425$	−0.202895	−	0.117141i	−0.00984185	−	0.00568220i
$426$	−14.0052	−	24.2577i	−0.678552	−	1.17529i
$427$	−10.0336	+	1.78257i	−0.485558	+	0.0862645i
$428$			2.21971i			0.107294i
$429$	7.49811	+	14.3458i	0.362012	+	0.692622i
$430$		−	28.4839i		−	1.37362i
$431$	30.8568	+	8.26807i	1.48632	+	0.398259i	0.908493	−	0.417900i	$-0.137234\pi$
$431$	30.8568	+	8.26807i	1.48632	+	0.398259i	0.577828	+	0.816158i	$0.303900\pi$
$432$	3.22397	−	1.86136i	0.155113	−	0.0895546i
$433$	2.29443	−	3.97407i	0.110263	−	0.190982i	−0.805613	−	0.592442i	$-0.798164\pi$
$433$	2.29443	−	3.97407i	0.110263	−	0.190982i	0.915876	+	0.401460i	$0.131497\pi$
$434$	−17.4529	−	6.32678i	−0.837765	−	0.303695i
$435$	2.36753	+	8.83576i	0.113515	+	0.423642i
$436$	8.34280	−	2.23545i	0.399548	−	0.107058i
$437$	−23.3273	+	23.3273i	−1.11590	+	1.11590i
$438$	16.9697	−	29.3924i	0.810844	−	1.40442i
$439$	8.62001	+	14.9303i	0.411411	+	0.712584i	0.995044	−	0.0994331i	$-0.0317029\pi$
$439$	8.62001	+	14.9303i	0.411411	+	0.712584i	−0.583634	+	0.812017i	$0.698370\pi$
$440$	−2.54223	−	0.681190i	−0.121196	−	0.0324744i
$441$	−5.37393	−	4.48563i	−0.255901	−	0.213601i
$442$	−10.3219	+	16.2614i	−0.490962	+	0.773474i
$443$	10.7110			0.508893			0.254447	−	0.967087i	$-0.418107\pi$
$443$	10.7110			0.508893			0.254447	+	0.967087i	$0.418107\pi$
$444$	−0.0619759	+	0.231297i	−0.00294124	+	0.0109769i
$445$	9.09678	+	15.7561i	0.431229	+	0.746910i
$446$	5.72318	−	9.91284i	0.271000	−	0.469387i
$447$	4.29403	+	4.29403i	0.203101	+	0.203101i
$448$	−15.3384	−	18.2317i	−0.724673	−	0.861368i
$449$	−4.72490	+	1.26603i	−0.222982	+	0.0597478i	−0.368580	−	0.929596i	$-0.620156\pi$
$449$	−4.72490	+	1.26603i	−0.222982	+	0.0597478i	0.145598	+	0.989344i	$0.453489\pi$
$450$	−0.128084	−	0.128084i	−0.00603792	−	0.00603792i
$451$	30.5302	+	17.6266i	1.43761	+	0.830006i
$452$	16.1976	−	9.35166i	0.761869	−	0.439865i
$453$	−18.6241	−	4.99031i	−0.875036	−	0.234465i
$454$	−8.77878			−0.412008
$455$	−20.9507	+	2.82102i	−0.982183	+	0.132252i
$456$	−1.64700			−0.0771278
$457$	5.77841	+	1.54832i	0.270303	+	0.0724274i	0.391424	−	0.920210i	$-0.371982\pi$
$457$	5.77841	+	1.54832i	0.270303	+	0.0724274i	−0.121122	+	0.992638i	$0.538649\pi$
$458$	42.3058	−	24.4253i	1.97682	−	1.14132i
$459$	2.27639	+	1.31427i	0.106253	+	0.0613450i
$460$	−17.6872	−	17.6872i	−0.824671	−	0.824671i
$461$	−18.4425	+	4.94165i	−0.858953	+	0.230156i	−0.661305	−	0.750117i	$-0.729997\pi$
$461$	−18.4425	+	4.94165i	−0.858953	+	0.230156i	−0.197648	+	0.980273i	$0.563330\pi$
$462$	−15.5406	−	18.4720i	−0.723013	−	0.859394i
$463$	−19.3096	−	19.3096i	−0.897393	−	0.897393i	0.0978122	−	0.995205i	$-0.468816\pi$
$463$	−19.3096	−	19.3096i	−0.897393	−	0.897393i	−0.995205	+	0.0978122i	$0.968816\pi$
$464$	−7.68335	+	13.3080i	−0.356691	+	0.617806i
$465$	3.82555	+	6.62604i	0.177406	+	0.307275i
$466$	7.17691	−	26.7846i	0.332464	−	1.24077i
$467$	1.06678			0.0493647			0.0246824	−	0.999695i	$-0.492143\pi$
$467$	1.06678			0.0493647			0.0246824	+	0.999695i	$0.492143\pi$
$468$	−5.65403	+	5.19818i	−0.261358	+	0.240286i
$469$	25.2283	−	11.8039i	1.16494	−	0.545054i
$470$	−35.8501	−	9.60601i	−1.65364	−	0.443092i
$471$	−4.15536	−	7.19730i	−0.191469	−	0.331634i
$472$	−0.654077	+	1.13290i	−0.0301063	+	0.0521457i
$473$	20.0780	−	20.0780i	0.923187	−	0.923187i
$474$	26.1448	−	7.00549i	1.20087	−	0.321773i
$475$	−0.143622	−	0.536004i	−0.00658982	−	0.0245935i
$476$	5.04876	−	13.9274i	0.231410	−	0.638360i
$477$	4.62243	−	8.00628i	0.211647	−	0.366583i
$478$	−11.7005	+	6.75529i	−0.535169	+	0.308980i
$479$	−37.0845	−	9.93677i	−1.69444	−	0.454023i	−0.722907	−	0.690945i	$-0.757195\pi$
$479$	−37.0845	−	9.93677i	−1.69444	−	0.454023i	−0.971529	+	0.236922i	$0.923861\pi$
$480$			17.9382i			0.818764i
$481$	−0.0170100	+	0.404950i	−0.000775588	+	0.0184641i
$482$		−	31.6955i		−	1.44369i
$483$	−2.45230	−	13.8033i	−0.111583	−	0.628071i
$484$	−9.75155	−	16.8902i	−0.443252	−	0.767735i
$485$	−3.84156	−	2.21792i	−0.174436	−	0.100711i
$486$	1.43704	+	1.43704i	0.0651855	+	0.0651855i
$487$	6.88259	+	25.6862i	0.311880	+	1.16395i	0.926860	+	0.375408i	$0.122498\pi$
$487$	6.88259	+	25.6862i	0.311880	+	1.16395i	−0.614980	+	0.788543i	$0.710836\pi$
$488$	−0.263721	−	0.984219i	−0.0119381	−	0.0445535i
$489$	−0.281888	+	0.281888i	−0.0127474	+	0.0127474i
$490$	29.5962	−	10.8589i	1.33702	−	0.490556i
$491$	−14.4502	+	8.34283i	−0.652129	+	0.376507i	−0.789271	−	0.614044i	$-0.789542\pi$
$491$	−14.4502	+	8.34283i	−0.652129	+	0.376507i	0.137142	+	0.990551i	$0.456208\pi$
$492$	−4.32924	+	16.1569i	−0.195177	+	0.728411i
$493$	−10.8502			−0.488667
$494$	−44.5222	+	9.94756i	−2.00315	+	0.447562i
$495$			9.94896i			0.447172i
$496$	−3.32660	+	12.4150i	−0.149369	+	0.557452i
$497$	29.8979	+	20.8772i	1.34110	+	0.936468i
$498$	−12.8322	−	7.40869i	−0.575026	−	0.331991i
$499$	24.5083	−	24.5083i	1.09714	−	1.09714i	0.102400	−	0.994743i	$-0.467348\pi$
$499$	24.5083	−	24.5083i	1.09714	−	1.09714i	0.994743	−	0.102400i	$-0.0326523\pi$
$500$	23.2050	−	6.21775i	1.03776	−	0.278066i
$501$	19.9784	−	5.35319i	0.892569	−	0.239163i
$502$	7.67894	−	7.67894i	0.342728	−	0.342728i
$503$	−35.6704	−	20.5943i	−1.59046	−	0.918254i	−0.993227	−	0.116188i	$-0.962933\pi$
$503$	−35.6704	−	20.5943i	−1.59046	−	0.918254i	−0.597235	−	0.802066i	$-0.703734\pi$
$504$	0.400711	−	0.573853i	0.0178491	−	0.0255614i
$505$	−5.15669	+	19.2450i	−0.229470	+	0.856393i
$506$		−	48.3463i		−	2.14926i
$507$	−7.42125	+	10.6736i	−0.329589	+	0.474030i
$508$	−15.2557			−0.676861
$509$	−8.60918	+	32.1299i	−0.381595	+	1.42413i	0.461869	+	0.886948i	$0.347179\pi$
$509$	−8.60918	+	32.1299i	−0.381595	+	1.42413i	−0.843464	+	0.537185i	$0.819488\pi$
$510$	−10.2520	+	5.91901i	−0.453967	+	0.262098i
$511$	−3.79401	+	44.0213i	−0.167837	+	1.94739i
$512$	−22.7009	+	22.7009i	−1.00325	+	1.00325i
$513$	1.61137	+	6.01372i	0.0711437	+	0.265512i
$514$	−8.26844	−	30.8582i	−0.364705	−	1.36110i
$515$	7.96255	+	7.96255i	0.350872	+	0.350872i
$516$	11.6676	+	6.73629i	0.513637	+	0.296549i
$517$	−18.4992	−	32.0415i	−0.813592	−	1.40918i
$518$	−0.105728	−	0.595110i	−0.00464540	−	0.0261476i
$519$		−	19.1649i		−	0.841244i
$520$	−0.460900	−	2.06285i	−0.0202118	−	0.0904618i
$521$		−	7.74380i		−	0.339262i	−0.985508	−	0.169631i	$-0.945742\pi$
$521$		−	7.74380i		−	0.339262i	0.985508	−	0.169631i	$-0.0542576\pi$
$522$	−8.10305	−	2.17121i	−0.354661	−	0.0950311i
$523$	25.4357	−	14.6853i	1.11223	−	0.642144i	0.172821	−	0.984953i	$-0.444712\pi$
$523$	25.4357	−	14.6853i	1.11223	−	0.642144i	0.939405	+	0.342809i	$0.111378\pi$
$524$	−8.58929	+	14.8771i	−0.375225	+	0.649908i
$525$	0.221699	+	0.0803673i	0.00967574	+	0.00350752i
$526$	3.61954	+	13.5083i	0.157819	+	0.588990i
$527$	−8.76605	+	2.34886i	−0.381855	+	0.102318i
$528$	−11.8180	+	11.8180i	−0.514312	+	0.514312i
$529$	2.53887	−	4.39745i	0.110386	−	0.191194i
$530$	20.8177	+	36.0574i	0.904265	+	1.56623i
$531$	4.77649	+	1.27986i	0.207282	+	0.0555410i
$532$	31.7816	−	14.8701i	1.37791	−	0.644699i
$533$	−1.18821	+	28.2872i	−0.0514670	+	1.22525i
$534$	−16.6849			−0.722025
$535$	−0.597665	+	2.23051i	−0.0258393	+	0.0964336i
$536$	1.39248	+	2.41185i	0.0601462	+	0.104176i
$537$	3.38514	−	5.86324i	0.146080	−	0.253018i
$538$	31.0590	+	31.0590i	1.33905	+	1.33905i
$539$	28.5164	+	13.2077i	1.22829	+	0.568897i
$540$	−4.55971	+	1.22177i	−0.196219	+	0.0525766i
$541$	−22.3031	−	22.3031i	−0.958885	−	0.958885i	0.0403026	−	0.999188i	$-0.487168\pi$
$541$	−22.3031	−	22.3031i	−0.958885	−	0.958885i	−0.999188	+	0.0403026i	$0.987168\pi$
$542$	10.6112	+	6.12637i	0.455789	+	0.263150i
$543$	−14.3408	+	8.27968i	−0.615424	+	0.355315i
$544$	−20.5523	−	5.50697i	−0.881172	−	0.236109i
$545$	8.98531			0.384888
$546$	7.36619	−	17.9328i	0.315244	−	0.767452i
$547$	−24.0410			−1.02792			−0.513959	−	0.857815i	$-0.671822\pi$
$547$	−24.0410			−1.02792			−0.513959	+	0.857815i	$0.671822\pi$
$548$	−8.52767	−	2.28498i	−0.364284	−	0.0976096i
$549$	−3.33568	+	1.92586i	−0.142363	+	0.0821936i
$550$	0.704268	+	0.406609i	0.0300301	+	0.0173379i
$551$	−18.1721	−	18.1721i	−0.774157	−	0.774157i
$552$	1.35400	−	0.362803i	0.0576301	−	0.0154419i
$553$	−26.9643	+	22.6852i	−1.14664	+	0.964674i
$554$	−28.5272	−	28.5272i	−1.21201	−	1.21201i
$555$	−0.124555	+	0.215736i	−0.00528707	+	0.00915747i
$556$	−17.3748	−	30.0940i	−0.736854	−	1.27627i
$557$	6.46251	−	24.1184i	0.273825	−	1.02193i	−0.682799	−	0.730606i	$-0.739238\pi$
$557$	6.46251	−	24.1184i	0.273825	−	1.02193i	0.956624	−	0.291324i	$-0.0940958\pi$
$558$	−7.01663			−0.297037
$559$	21.7597	+	6.82130i	0.920338	+	0.288510i
$560$	−9.24994	−	19.7698i	−0.390881	−	0.835425i
$561$	−11.3988	−	3.05429i	−0.481256	−	0.128952i
$562$	−22.1528	−	38.3698i	−0.934461	−	1.61853i
$563$	−10.6879	+	18.5120i	−0.450442	+	0.780189i	−0.998413	−	0.0563081i	$-0.982067\pi$
$563$	−10.6879	+	18.5120i	−0.450442	+	0.780189i	0.547971	+	0.836497i	$0.315400\pi$
$564$	12.4132	−	12.4132i	0.522689	−	0.522689i
$565$	18.7944	−	5.03594i	0.790685	−	0.211863i
$566$	14.9243	+	55.6981i	0.627313	+	2.34116i
$567$	−2.48736	−	0.901685i	−0.104459	−	0.0378672i
$568$	−1.82305	+	3.15761i	−0.0764934	+	0.132490i
$569$	6.81979	−	3.93741i	0.285901	−	0.165065i	−0.350191	−	0.936678i	$-0.613883\pi$
$569$	6.81979	−	3.93741i	0.285901	−	0.165065i	0.636092	+	0.771614i	$0.280550\pi$
$570$	−27.0836	−	7.25702i	−1.13441	−	0.303963i
$571$			30.5555i			1.27871i	0.768912	+	0.639355i	$0.220798\pi$
$571$			30.5555i			1.27871i	−0.768912	+	0.639355i	$0.779202\pi$
$572$	18.4787	−	29.1119i	0.772634	−	1.21723i
$573$			8.89668i			0.371664i
$574$	−7.38545	−	41.5706i	−0.308263	−	1.73512i
$575$	0.236143	+	0.409012i	0.00984786	+	0.0170570i
$576$	−7.79879	−	4.50263i	−0.324949	−	0.187610i
$577$	10.2122	+	10.2122i	0.425140	+	0.425140i	0.886969	−	0.461829i	$-0.152807\pi$
$577$	10.2122	+	10.2122i	0.425140	+	0.425140i	−0.461829	+	0.886969i	$0.652807\pi$
$578$	5.30766	+	19.8085i	0.220770	+	0.823923i
$579$	−1.15868	−	4.32426i	−0.0481532	−	0.179710i
$580$	13.7784	−	13.7784i	0.572117	−	0.572117i
$581$	19.2189	+	1.65640i	0.797336	+	0.0687190i
$582$	3.52300	−	2.03400i	0.146033	−	0.0843121i
$583$	−10.7422	+	40.0906i	−0.444898	+	1.66038i
$584$	−4.41789			−0.182813
$585$	−7.08118	+	3.70111i	−0.292771	+	0.153022i
$586$		−	21.2743i		−	0.878834i
$587$	6.93252	−	25.8725i	0.286136	−	1.06787i	−0.661870	−	0.749619i	$-0.730237\pi$
$587$	6.93252	−	25.8725i	0.286136	−	1.06787i	0.948005	−	0.318254i	$-0.103097\pi$
$588$	−2.55131	+	14.6913i	−0.105214	+	0.605859i
$589$	−18.6155	−	10.7477i	−0.767037	−	0.442849i
$590$	−15.7476	+	15.7476i	−0.648317	+	0.648317i
$591$	−1.57369	+	0.421669i	−0.0647329	+	0.0173451i
$592$	−0.404218	+	0.108310i	−0.0166133	+	0.00445151i
$593$	4.55865	−	4.55865i	0.187201	−	0.187201i	−0.607284	−	0.794485i	$-0.707741\pi$
$593$	4.55865	−	4.55865i	0.187201	−	0.187201i	0.794485	+	0.607284i	$0.207741\pi$
$594$	−7.90156	−	4.56197i	−0.324205	−	0.187180i
$595$	8.82332	−	12.6358i	0.361721	−	0.518016i
$596$	3.34804	−	12.4951i	0.137141	−	0.511817i
$597$			12.4355i			0.508953i
$598$	34.4105	−	17.9853i	1.40715	−	0.735475i
$599$	−11.7896			−0.481711			−0.240855	−	0.970561i	$-0.577428\pi$
$599$	−11.7896			−0.481711			−0.240855	+	0.970561i	$0.577428\pi$
$600$	−0.00610260	+	0.0227752i	−0.000249138	+	0.000929795i
$601$	−12.6934	+	7.32853i	−0.517774	+	0.298937i	−0.736023	−	0.676956i	$-0.763299\pi$
$601$	−12.6934	+	7.32853i	−0.517774	+	0.298937i	0.218250	+	0.975893i	$0.429965\pi$
$602$	−33.8815	−	2.92010i	−1.38091	−	0.119015i
$603$	7.44409	−	7.44409i	0.303147	−	0.303147i
$604$	10.6302	+	39.6725i	0.432537	+	1.61425i
$605$	−5.25127	−	19.5980i	−0.213495	−	0.796773i
$606$	−12.9201	−	12.9201i	−0.524842	−	0.524842i
$607$	−8.67196	−	5.00676i	−0.351984	−	0.203218i	0.313575	−	0.949564i	$-0.398473\pi$
$607$	−8.67196	−	5.00676i	−0.351984	−	0.203218i	−0.665559	+	0.746345i	$0.731807\pi$
$608$	−25.1982	−	43.6446i	−1.02192	−	1.77002i
$609$	10.7528	−	1.91035i	0.435726	−	0.0774113i
$610$		−	17.3467i		−	0.702348i
$611$	15.9237	−	25.0866i	0.644203	−	1.01489i
$612$		−	5.59925i		−	0.226336i
$613$	5.30907	+	1.42256i	0.214431	+	0.0574567i	0.364435	−	0.931229i	$-0.381262\pi$
$613$	5.30907	+	1.42256i	0.214431	+	0.0574567i	−0.150004	+	0.988685i	$0.547929\pi$
$614$	15.3245	−	8.84762i	0.618447	−	0.357061i
$615$	−8.70062	+	15.0699i	−0.350843	+	0.607678i
$616$	−1.07090	+	2.95414i	−0.0431476	+	0.119026i
$617$	1.17910	+	4.40045i	0.0474687	+	0.177156i	0.985590	−	0.169151i	$-0.0541025\pi$
$617$	1.17910	+	4.40045i	0.0474687	+	0.177156i	−0.938122	+	0.346306i	$0.887436\pi$
$618$	−9.97506	+	2.67281i	−0.401256	+	0.107516i
$619$	24.3594	−	24.3594i	0.979088	−	0.979088i	−0.0206980	−	0.999786i	$-0.506589\pi$
$619$	24.3594	−	24.3594i	0.979088	−	0.979088i	0.999786	+	0.0206980i	$0.00658886\pi$
$620$	8.14907	−	14.1146i	0.327274	−	0.566856i
$621$	−2.64942	−	4.58893i	−0.106318	−	0.184148i
$622$	10.4209	+	2.79226i	0.417839	+	0.111960i
$623$	19.6744	−	9.20531i	0.788237	−	0.368803i
$624$	−12.8079	−	4.01504i	−0.512725	−	0.160730i
$625$	24.5464			0.981856
$626$	−9.72044	+	36.2772i	−0.388507	+	1.44993i
$627$	−13.9755	−	24.2063i	−0.558128	−	0.966706i
$628$	−8.85163	+	15.3315i	−0.353218	+	0.611792i
$629$	−0.208936	−	0.208936i	−0.00833082	−	0.00833082i
$630$	9.11789	−	7.67093i	0.363265	−	0.305617i
$631$	−29.1395	+	7.80790i	−1.16003	+	0.310828i	−0.786976	−	0.616984i	$-0.788354\pi$
$631$	−29.1395	+	7.80790i	−1.16003	+	0.310828i	−0.373049	+	0.927812i	$0.621688\pi$
$632$	−2.49136	−	2.49136i	−0.0991012	−	0.0991012i
$633$	−0.193271	−	0.111585i	−0.00768182	−	0.00443510i
$634$	−36.9859	+	21.3538i	−1.46890	+	0.848070i
$635$	−15.3299	−	4.10764i	−0.608349	−	0.163007i
$636$	−19.6931			−0.780883
$637$	1.20778	+	25.2099i	0.0478539	+	0.998854i
$638$	37.6620			1.49105
$639$	13.3131	+	3.56722i	0.526657	+	0.141117i
$640$	4.05297	−	2.33998i	0.160208	−	0.0924959i
$641$	−5.38559	−	3.10937i	−0.212718	−	0.122813i	0.389856	−	0.920876i	$-0.372525\pi$
$641$	−5.38559	−	3.10937i	−0.212718	−	0.122813i	−0.602574	+	0.798063i	$0.705858\pi$
$642$	−1.49745	−	1.49745i	−0.0590995	−	0.0590995i
$643$	−14.3667	+	3.84955i	−0.566568	+	0.151811i	−0.530722	−	0.847546i	$-0.678079\pi$
$643$	−14.3667	+	3.84955i	−0.566568	+	0.151811i	−0.0358459	+	0.999357i	$0.511413\pi$
$644$	−22.8521	+	19.2256i	−0.900500	+	0.757595i
$645$	9.91062	+	9.91062i	0.390230	+	0.390230i
$646$	16.6291	−	28.8025i	0.654264	−	1.13322i
$647$	−3.53916	−	6.13001i	−0.139139	−	0.240995i	0.788032	−	0.615634i	$-0.211100\pi$
$647$	−3.53916	−	6.13001i	−0.139139	−	0.240995i	−0.927171	+	0.374639i	$0.877767\pi$
$648$	0.0684684	−	0.255528i	0.00268969	−	0.0100381i
$649$	−22.2005			−0.871447
$650$	−0.0274095	+	0.652526i	−0.00107509	+	0.0255942i
$651$	8.27383	−	3.87119i	0.324277	−	0.151724i
$652$	0.820257	+	0.219787i	0.0321237	+	0.00860753i
$653$	21.2746	+	36.8487i	0.832539	+	1.44200i	0.896019	+	0.444017i	$0.146447\pi$
$653$	21.2746	+	36.8487i	0.832539	+	1.44200i	−0.0634796	+	0.997983i	$0.520220\pi$
$654$	−4.12010	+	7.13622i	−0.161109	+	0.279048i
$655$	−12.6368	+	12.6368i	−0.493761	+	0.493761i
$656$	−28.2361	+	7.56584i	−1.10243	+	0.295396i
$657$	4.32232	+	16.1311i	0.168630	+	0.629335i
$658$	−15.1016	+	41.6588i	−0.588721	+	1.62403i
$659$	16.5688	−	28.6980i	0.645429	−	1.11791i	−0.338774	−	0.940868i	$-0.610012\pi$
$659$	16.5688	−	28.6980i	0.645429	−	1.11791i	0.984202	−	0.177047i	$-0.0566545\pi$
$660$	18.3537	−	10.5965i	0.714415	−	0.412468i
$661$	24.7310	+	6.62666i	0.961925	+	0.257747i	0.705415	−	0.708794i	$-0.250761\pi$
$661$	24.7310	+	6.62666i	0.961925	+	0.257747i	0.256510	+	0.966542i	$0.417427\pi$
$662$		−	62.1630i		−	2.41604i
$663$	−2.06657	−	9.24931i	−0.0802588	−	0.359213i
$664$			1.92877i			0.0748510i
$665$	35.9401	−	6.38514i	1.39370	−	0.247605i
$666$	−0.114226	−	0.197846i	−0.00442618	−	0.00766637i
$667$	18.9423	+	10.9363i	0.733448	+	0.423457i
$668$	−31.1542	−	31.1542i	−1.20539	−	1.20539i
$669$	1.45774	+	5.44036i	0.0563594	+	0.210336i
$670$	12.2712	+	45.7966i	0.474076	+	1.76928i
$671$	12.2275	−	12.2275i	0.472037	−	0.472037i
$672$	21.3374	+	1.83898i	0.823110	+	0.0709404i
$673$	0.329696	−	0.190350i	0.0127088	−	0.00733746i	−0.493632	−	0.869671i	$-0.664331\pi$
$673$	0.329696	−	0.190350i	0.0127088	−	0.00733746i	0.506341	+	0.862333i	$0.330998\pi$
$674$	1.39077	−	5.19043i	0.0535705	−	0.199928i
$675$	0.0891302			0.00343062
$676$	27.5947	+	2.32233i	1.06133	+	0.0893205i
$677$			30.7685i			1.18253i	0.806477	+	0.591265i	$0.201371\pi$
$677$			30.7685i			1.18253i	−0.806477	+	0.591265i	$0.798629\pi$
$678$	−4.61833	+	17.2358i	−0.177366	+	0.661938i
$679$	−3.03204	+	4.34214i	−0.116359	+	0.166636i
$680$	1.33450	+	0.770476i	0.0511759	+	0.0295464i
$681$	3.05446	−	3.05446i	0.117047	−	0.117047i
$682$	30.4278	−	8.15310i	1.16514	−	0.312199i
$683$	−38.2684	+	10.2540i	−1.46430	+	0.392358i	−0.900973	−	0.433875i	$-0.857146\pi$
$683$	−38.2684	+	10.2540i	−1.46430	+	0.392358i	−0.563328	+	0.826234i	$0.690479\pi$
$684$	9.37774	−	9.37774i	0.358567	−	0.358567i
$685$	−7.95393	−	4.59221i	−0.303904	−	0.175459i
$686$	−9.88249	−	36.3178i	−0.377315	−	1.38662i
$687$	−6.22131	+	23.2182i	−0.237358	+	0.885831i
$688$			23.5449i			0.897640i
$689$	−32.5307	+	7.26832i	−1.23932	+	0.276901i
$690$	23.8641			0.908489
$691$	−1.21810	+	4.54600i	−0.0463386	+	0.172938i	−0.985217	−	0.171311i	$-0.945200\pi$
$691$	−1.21810	+	4.54600i	−0.0463386	+	0.172938i	0.938878	+	0.344249i	$0.111866\pi$
$692$	−35.3550	+	20.4122i	−1.34399	+	0.775955i
$693$	11.8342	+	1.01994i	0.449546	+	0.0387445i
$694$	4.56817	−	4.56817i	0.173405	−	0.173405i
$695$	−9.35642	−	34.9187i	−0.354909	−	1.32454i
$696$	0.282625	+	1.05477i	0.0107129	+	0.0399810i
$697$	−14.5949	−	14.5949i	−0.552822	−	0.552822i
$698$	−36.9373	−	21.3258i	−1.39810	−	0.807192i
$699$	6.82224	+	11.8165i	0.258041	+	0.446940i
$700$	−0.0878681	−	0.494584i	−0.00332110	−	0.0186935i
$701$			19.5366i			0.737886i	0.929452	+	0.368943i	$0.120280\pi$
$701$			19.5366i			0.737886i	−0.929452	+	0.368943i	$0.879720\pi$
$702$	0.307521	−	7.32104i	0.0116067	−	0.276315i
$703$		−	0.699860i		−	0.0263957i
$704$	39.0516	+	10.4638i	1.47181	+	0.394371i
$705$	15.8159	−	9.13131i	0.595661	−	0.343905i
$706$	20.9826	−	36.3430i	0.789692	−	1.36779i
$707$	22.3632	+	8.10682i	0.841056	+	0.304888i
$708$	−2.72631	−	10.1747i	−0.102461	−	0.382390i
$709$	33.4014	−	8.94988i	1.25442	−	0.336120i	0.430375	−	0.902650i	$-0.358381\pi$
$709$	33.4014	−	8.94988i	1.25442	−	0.336120i	0.824041	+	0.566530i	$0.191715\pi$
$710$	−43.8917	+	43.8917i	−1.64723	+	1.64723i
$711$	−6.65929	+	11.5342i	−0.249743	+	0.432568i
$712$	1.08593	+	1.88089i	0.0406970	+	0.0704893i
$713$	17.6713	+	4.73502i	0.661797	+	0.177328i
$714$	5.98962	+	12.8015i	0.224156	+	0.479086i
$715$	26.4071	−	24.2781i	0.987571	−	0.907949i
$716$	−14.4219			−0.538970
$717$	1.72063	−	6.42146i	0.0642579	−	0.239814i
$718$	27.1718	+	47.0629i	1.01404	+	1.75637i
$719$	−8.27022	+	14.3244i	−0.308427	+	0.534211i	−0.978018	−	0.208518i	$-0.933136\pi$
$719$	−8.27022	+	14.3244i	−0.308427	+	0.534211i	0.669591	+	0.742730i	$0.266469\pi$
$720$	−5.83343	−	5.83343i	−0.217399	−	0.217399i
$721$	10.2877	−	8.65511i	0.383135	−	0.322333i
$722$	38.7921	−	10.3943i	1.44369	−	0.386836i
$723$	11.0281	+	11.0281i	0.410138	+	0.410138i
$724$	30.5484	+	17.6371i	1.13532	+	0.655478i
$725$	−0.318622	+	0.183957i	−0.0118333	+	0.00683198i
$726$	17.9729	+	4.81581i	0.667035	+	0.178732i
$727$	−21.0001			−0.778851			−0.389426	−	0.921058i	$-0.627326\pi$
$727$	−21.0001			−0.778851			−0.389426	+	0.921058i	$0.627326\pi$
$728$	−2.50100	+	0.336761i	−0.0926931	+	0.0124812i
$729$	−1.00000			−0.0370370
$730$	−72.6486	−	19.4661i	−2.68885	−	0.720474i
$731$	−14.3974	+	8.31232i	−0.532506	+	0.307442i
$732$	7.10557	+	4.10240i	0.262629	+	0.151629i
$733$	9.61770	+	9.61770i	0.355238	+	0.355238i	0.862054	−	0.506816i	$-0.169178\pi$
$733$	9.61770	+	9.61770i	0.355238	+	0.355238i	−0.506816	+	0.862054i	$0.669178\pi$
$734$	47.3197	−	12.6793i	1.74660	−	0.468001i
$735$	−6.51942	+	14.0759i	−0.240472	+	0.519196i
$736$	30.3296	+	30.3296i	1.11796	+	1.11796i
$737$	−23.6317	+	40.9313i	−0.870485	+	1.50772i
$738$	−7.97912	−	13.8202i	−0.293715	−	0.508730i
$739$	10.3610	−	38.6677i	0.381135	−	1.42241i	−0.463036	−	0.886339i	$-0.653240\pi$
$739$	10.3610	−	38.6677i	0.381135	−	1.42241i	0.844171	−	0.536074i	$-0.180093\pi$
$740$	0.530647			0.0195070
$741$	12.0298	−	18.9521i	0.441926	−	0.696221i
$742$	45.0243	−	21.0661i	1.65289	−	0.773360i
$743$	12.1952	+	3.26770i	0.447399	+	0.119880i	0.475482	−	0.879725i	$-0.342274\pi$
$743$	12.1952	+	3.26770i	0.447399	+	0.119880i	−0.0280832	+	0.999606i	$0.508940\pi$
$744$	0.456676	+	0.790987i	0.0167426	+	0.0289990i
$745$	6.72867	−	11.6544i	0.246519	−	0.426984i
$746$	−44.2682	+	44.2682i	−1.62077	+	1.62077i
$747$	7.04257	−	1.88705i	0.257674	−	0.0690436i
$748$	6.50616	+	24.2813i	0.237889	+	0.887813i
$749$	2.59192	+	0.939586i	0.0947065	+	0.0343317i
$750$	−11.4598	+	19.8489i	−0.418452	+	0.724781i
$751$	13.0628	−	7.54179i	0.476667	−	0.275204i	−0.242359	−	0.970187i	$-0.577921\pi$
$751$	13.0628	−	7.54179i	0.476667	−	0.275204i	0.719026	+	0.694983i	$0.244588\pi$
$752$	29.6338	+	7.94035i	1.08063	+	0.289555i
$753$			5.34358i			0.194731i
$754$	14.0106	+	26.8059i	0.510237	+	0.976214i
$755$			42.7278i			1.55502i
$756$	0.985840	+	5.54901i	0.0358547	+	0.201815i
$757$	6.07461	+	10.5215i	0.220786	+	0.382412i	0.955047	−	0.296455i	$-0.0958046\pi$
$757$	6.07461	+	10.5215i	0.220786	+	0.382412i	−0.734261	+	0.678867i	$0.762471\pi$
$758$	30.9223	+	17.8530i	1.12315	+	0.648450i
$759$	16.8215	+	16.8215i	0.610581	+	0.610581i
$760$	0.944645	+	3.52546i	0.0342659	+	0.127882i
$761$	6.05559	+	22.5998i	0.219515	+	0.819241i	0.984528	+	0.175226i	$0.0560657\pi$
$761$	6.05559	+	22.5998i	0.219515	+	0.819241i	−0.765013	+	0.644014i	$0.777268\pi$
$762$	10.2917	−	10.2917i	0.372828	−	0.372828i
$763$	0.921153	−	10.6880i	0.0333480	−	0.386931i
$764$	16.4124	−	9.47572i	0.593781	−	0.342819i
$765$	1.50762	−	5.62651i	0.0545080	−	0.203427i
$766$	16.0231			0.578940
$767$	−8.25883	−	15.8012i	−0.298209	−	0.570550i
$768$		−	13.7187i		−	0.495029i
$769$	9.41454	−	35.1355i	0.339497	−	1.26702i	−0.559414	−	0.828888i	$-0.688974\pi$
$769$	9.41454	−	35.1355i	0.339497	−	1.26702i	0.898911	−	0.438131i	$-0.144360\pi$
$770$	−30.6266	+	43.8599i	−1.10371	+	1.58060i
$771$	13.6136	+	7.85983i	0.490283	+	0.283065i
$772$	−6.74322	+	6.74322i	−0.242694	+	0.242694i
$773$	−34.2562	+	9.17892i	−1.23211	+	0.330143i	−0.815401	−	0.578897i	$-0.803483\pi$
$773$	−34.2562	+	9.17892i	−1.23211	+	0.330143i	−0.416709	+	0.909040i	$0.636817\pi$
$774$	−12.4155	+	3.32672i	−0.446266	+	0.119577i
$775$	−0.217598	+	0.217598i	−0.00781634	+	0.00781634i
$776$	−0.458588	−	0.264766i	−0.0164623	−	0.00950453i
$777$	0.243848	+	0.170274i	0.00874798	+	0.00610856i
$778$	−2.27368	+	8.48548i	−0.0815153	+	0.304219i
$779$		−	48.8878i		−	1.75159i
$780$	14.3698	+	9.12122i	0.514521	+	0.326592i
$781$	−61.8775			−2.21415
$782$	−7.32617	+	27.3416i	−0.261983	+	0.977735i
$783$	3.57480	−	2.06391i	0.127753	−	0.0737581i
$784$	−24.4643	+	8.97601i	−0.873726	+	0.320572i
$785$	−13.0228	+	13.0228i	−0.464802	+	0.464802i
$786$	−4.24183	−	15.8307i	−0.151301	−	0.564663i
$787$	−7.98311	−	29.7934i	−0.284567	−	1.06202i	−0.949155	−	0.314809i	$-0.898059\pi$
$787$	−7.98311	−	29.7934i	−0.284567	−	1.06202i	0.664588	−	0.747210i	$-0.268607\pi$
$788$	2.45400	+	2.45400i	0.0874201	+	0.0874201i
$789$	−5.95942	−	3.44067i	−0.212161	−	0.122491i
$790$	−29.9910	−	51.9460i	−1.06703	−	1.84815i
$791$	−4.06347	−	22.8721i	−0.144480	−	0.813238i
$792$			1.18766i			0.0422017i
$793$	13.2517	+	4.15417i	0.470581	+	0.147519i
$794$		−	68.0980i		−	2.41671i
$795$	−19.7890	−	5.30244i	−0.701843	−	0.188058i
$796$	22.9408	−	13.2449i	0.813117	−	0.469453i
$797$	18.5193	−	32.0763i	0.655986	−	1.13620i	−0.325659	−	0.945487i	$-0.605586\pi$
$797$	18.5193	−	32.0763i	0.655986	−	1.13620i	0.981646	−	0.190714i	$-0.0610805\pi$
$798$	−11.4087	+	31.4718i	−0.403865	+	1.11409i
$799$	5.60655	+	20.9239i	0.198346	+	0.740236i
$800$	−0.696898	+	0.186733i	−0.0246391	+	0.00660201i
$801$	5.80529	−	5.80529i	0.205120	−	0.205120i
$802$	3.78771	−	6.56051i	0.133749	−	0.231660i
$803$	−37.4877	−	64.9306i	−1.32291	−	2.29135i
$804$	−21.6613	−	5.80413i	−0.763935	−	0.204696i
$805$	−28.1399	+	13.1662i	−0.991801	+	0.464047i
$806$	17.1224	+	18.6240i	0.603112	+	0.656001i
$807$	−21.6132			−0.760821
$808$	−0.615582	+	2.29738i	−0.0216561	+	0.0808217i
$809$	−19.6518	−	34.0379i	−0.690920	−	1.19671i	−0.971537	−	0.236888i	$-0.923873\pi$
$809$	−19.6518	−	34.0379i	−0.690920	−	1.19671i	0.280617	−	0.959820i	$-0.409461\pi$
$810$	2.25182	−	3.90026i	0.0791208	−	0.137041i
$811$	31.2346	+	31.2346i	1.09680	+	1.09680i	0.994783	+	0.102013i	$0.0325282\pi$
$811$	31.2346	+	31.2346i	1.09680	+	1.09680i	0.102013	+	0.994783i	$0.467472\pi$
$812$	−14.9768	−	17.8019i	−0.525584	−	0.624724i
$813$	−5.82362	+	1.56043i	−0.204243	+	0.0547268i
$814$	0.725236	+	0.725236i	0.0254195	+	0.0254195i
$815$	0.765071	+	0.441714i	0.0267993	+	0.0154726i
$816$	8.47435	−	4.89267i	0.296662	−	0.171278i
$817$	−38.0347	−	10.1914i	−1.33066	−	0.356550i
$818$	33.8879			1.18486
$819$	3.67651	+	8.80246i	0.128468	+	0.307583i
$820$	37.0676			1.29446
$821$	−13.0783	−	3.50432i	−0.456436	−	0.122302i	0.0232733	−	0.999729i	$-0.492591\pi$
$821$	−13.0783	−	3.50432i	−0.456436	−	0.122302i	−0.479709	+	0.877427i	$0.659258\pi$
$822$	7.29435	−	4.21140i	0.254420	−	0.146889i
$823$	−48.1538	−	27.8016i	−1.67853	−	0.969102i	−0.962597	−	0.270939i	$-0.912666\pi$
$823$	−48.1538	−	27.8016i	−1.67853	−	0.969102i	−0.715938	−	0.698164i	$-0.754001\pi$
$824$	0.950532	+	0.950532i	0.0331134	+	0.0331134i
$825$	−0.386516	+	0.103567i	−0.0134567	+	0.00360572i
$826$	17.1172	+	20.3460i	0.595585	+	0.707930i
$827$	−12.0154	−	12.0154i	−0.417815	−	0.417815i	0.466635	−	0.884450i	$-0.345466\pi$
$827$	−12.0154	−	12.0154i	−0.417815	−	0.417815i	−0.884450	+	0.466635i	$0.845466\pi$
$828$	−5.64372	+	9.77521i	−0.196133	+	0.339712i
$829$	11.7179	+	20.2959i	0.406978	+	0.704906i	0.994549	−	0.104266i	$-0.0332493\pi$
$829$	11.7179	+	20.2959i	0.406978	+	0.704906i	−0.587572	+	0.809172i	$0.699916\pi$
$830$	−8.49859	+	31.7172i	−0.294990	+	1.10092i
$831$	19.8514			0.688637
$832$	7.07995	+	31.6876i	0.245453	+	1.09857i
$833$	−14.1256	−	11.7907i	−0.489424	−	0.408523i
$834$	32.0230	+	8.58054i	1.10887	+	0.297120i
$835$	−22.9174	−	39.6942i	−0.793091	−	1.37367i
$836$	−29.7702	+	51.5635i	−1.02962	+	1.78336i
$837$	2.44135	−	2.44135i	0.0843853	−	0.0843853i
$838$	−32.3353	+	8.66422i	−1.11700	+	0.299300i
$839$	10.2875	+	38.3937i	0.355166	+	1.32550i	0.880276	+	0.474462i	$0.157357\pi$
$839$	10.2875	+	38.3937i	0.355166	+	1.32550i	−0.525110	+	0.851034i	$0.675976\pi$
$840$	−1.45818	−	0.528601i	−0.0503121	−	0.0182385i
$841$	5.98055	−	10.3586i	0.206226	−	0.357194i
$842$	5.71316	−	3.29849i	0.196888	−	0.113674i
$843$	21.0581	+	5.64250i	0.725279	+	0.194338i
$844$			0.475390i			0.0163636i
$845$	27.1037	+	9.76359i	0.932395	+	0.335878i
$846$			16.7482i			0.575814i
$847$	−23.8501	+	4.23722i	−0.819499	+	0.145593i
$848$	−17.2080	−	29.8051i	−0.590925	−	1.02351i
$849$	−24.5721	−	14.1867i	−0.843314	−	0.486888i
$850$	−0.336674	−	0.336674i	−0.0115478	−	0.0115478i
$851$	0.154166	+	0.575356i	0.00528475	+	0.0197230i
$852$	−7.59879	−	28.3591i	−0.260330	−	0.971566i
$853$	−1.67153	+	1.67153i	−0.0572322	+	0.0572322i	−0.735144	−	0.677911i	$-0.762885\pi$
$853$	−1.67153	+	1.67153i	−0.0572322	+	0.0572322i	0.677911	+	0.735144i	$0.262885\pi$
$854$	−20.6338	−	1.77834i	−0.706075	−	0.0608537i
$855$	11.9484	−	6.89840i	0.408626	−	0.235920i
$856$	−0.0713465	+	0.266269i	−0.00243857	+	0.00910087i
$857$	−32.1656			−1.09876			−0.549378	−	0.835574i	$-0.685135\pi$
$857$	−32.1656			−1.09876			−0.549378	+	0.835574i	$0.685135\pi$
$858$	7.17325	+	32.1052i	0.244891	+	1.09605i
$859$		−	10.9082i		−	0.372182i	−0.982533	−	0.186091i	$-0.940418\pi$
$859$		−	10.9082i		−	0.372182i	0.982533	−	0.186091i	$-0.0595819\pi$
$860$	7.72727	−	28.8386i	0.263498	−	0.983387i
$861$	17.0336	+	11.8943i	0.580505	+	0.405356i
$862$	56.2241	+	32.4610i	1.91500	+	1.10563i
$863$	−29.1191	+	29.1191i	−0.991226	+	0.991226i	−0.999962	−	0.00873630i	$-0.997219\pi$
$863$	−29.1191	+	29.1191i	−0.991226	+	0.991226i	0.00873630	+	0.999962i	$0.497219\pi$
$864$	7.81887	−	2.09506i	0.266003	−	0.0712754i
$865$	−41.0231	+	10.9921i	−1.39483	+	0.373743i
$866$	6.59438	−	6.59438i	0.224086	−	0.224086i
$867$	−8.73884	−	5.04537i	−0.296786	−	0.171350i
$868$	−15.9538	−	11.1403i	−0.541508	−	0.378125i
$869$	15.4758	−	57.7564i	0.524980	−	1.95925i
$870$			18.5902i			0.630267i
$871$	−37.9241	−	1.59301i	−1.28501	−	0.0539770i
$872$	1.07263			0.0363237
$873$	−0.518076	+	1.93349i	−0.0175342	+	0.0654386i
$874$	−58.0624	+	33.5223i	−1.96399	+	1.13391i
$875$	2.56213	−	29.7279i	0.0866157	−	1.00499i
$876$	25.1547	−	25.1547i	0.849900	−	0.849900i
$877$	11.3963	+	42.5315i	0.384825	+	1.43619i	0.838442	+	0.544990i	$0.183467\pi$
$877$	11.3963	+	42.5315i	0.384825	+	1.43619i	−0.453617	+	0.891197i	$0.649867\pi$
$878$	9.06813	+	33.8427i	0.306035	+	1.14214i
$879$	7.40213	+	7.40213i	0.249668	+	0.249668i
$880$	32.0751	+	18.5186i	1.08125	+	0.624261i
$881$	−27.3369	−	47.3489i	−0.921004	−	1.59522i	−0.797866	−	0.602835i	$-0.794038\pi$
$881$	−27.3369	−	47.3489i	−0.921004	−	1.59522i	−0.123138	−	0.992390i	$-0.539296\pi$
$882$	−8.18979	−	11.6321i	−0.275765	−	0.391673i
$883$			5.53480i			0.186261i	0.995654	+	0.0931304i	$0.0296873\pi$
$883$			5.53480i			0.186261i	−0.995654	+	0.0931304i	$0.970313\pi$
$884$	−14.8619	+	13.6637i	−0.499859	+	0.459559i
$885$		−	10.9583i		−	0.368360i
$886$	21.0260	+	5.63390i	0.706382	+	0.189274i
$887$	−7.88418	+	4.55194i	−0.264725	+	0.152839i	−0.626488	−	0.779431i	$-0.715508\pi$
$887$	−7.88418	+	4.55194i	−0.264725	+	0.152839i	0.361763	+	0.932270i	$0.382175\pi$
$888$	−0.0148688	+	0.0257535i	−0.000498965	+	0.000864232i
$889$	−6.45761	+	17.8138i	−0.216581	+	0.597455i
$890$	9.56969	+	35.7146i	0.320777	+	1.19716i
$891$	4.33653	−	1.16197i	0.145279	−	0.0389274i
$892$	8.48365	−	8.48365i	0.284054	−	0.284054i
$893$	−25.6539	+	44.4338i	−0.858474	+	1.48692i
$894$	6.17069	+	10.6880i	0.206379	+	0.357459i
$895$	−14.4921	−	3.88314i	−0.484416	−	0.129799i
$896$	−2.36790	−	5.06088i	−0.0791059	−	0.169072i
$897$	−5.71494	+	18.2305i	−0.190816	+	0.608698i
$898$	−9.94107			−0.331738
$899$	−3.68860	+	13.7660i	−0.123022	+	0.459123i
$900$	−0.0949312	−	0.164426i	−0.00316437	−	0.00548086i
$901$	12.1503	−	21.0449i	0.404784	−	0.701107i
$902$	50.6604	+	50.6604i	1.68681	+	1.68681i
$903$	12.8047	−	10.7726i	0.426112	−	0.358491i
$904$	2.24359	−	0.601167i	0.0746205	−	0.0199945i
$905$	25.9482	+	25.9482i	0.862548	+	0.862548i
$906$	−33.9348	−	19.5923i	−1.12741	−	0.650910i
$907$	28.9991	−	16.7426i	0.962899	−	0.555930i	0.0658347	−	0.997831i	$-0.479029\pi$
$907$	28.9991	−	16.7426i	0.962899	−	0.555930i	0.897064	+	0.441901i	$0.145696\pi$
$908$	−8.88808	−	2.38155i	−0.294961	−	0.0790346i
$909$	8.99075			0.298204
$910$	−42.6107	−	5.48216i	−1.41253	−	0.181732i
$911$	44.6499			1.47932			0.739659	−	0.672982i	$-0.234987\pi$
$911$	44.6499			1.47932			0.739659	+	0.672982i	$0.234987\pi$
$912$	22.3874	+	5.99868i	0.741320	+	0.198636i
$913$	−28.3476	+	16.3665i	−0.938169	+	0.541652i
$914$	10.5288	+	6.07881i	0.348262	+	0.201069i
$915$	6.03557	+	6.03557i	0.199530	+	0.199530i
$916$	49.4588	−	13.2524i	1.63416	−	0.437873i
$917$	13.7359	+	16.3269i	0.453600	+	0.539162i
$918$	3.77733	+	3.77733i	0.124670	+	0.124670i
$919$	28.6298	−	49.5882i	0.944409	−	1.63576i	0.187479	−	0.982269i	$-0.439968\pi$
$919$	28.6298	−	49.5882i	0.944409	−	1.63576i	0.756930	−	0.653496i	$-0.226698\pi$
$920$	−1.55319	−	2.69020i	−0.0512071	−	0.0886934i
$921$	−2.25356	+	8.41039i	−0.0742572	+	0.277132i
$922$	−38.8025			−1.27789
$923$	−23.0191	−	44.0413i	−0.757681	−	1.44964i
$924$	−10.7229	−	22.9179i	−0.352757	−	0.753944i
$925$	−0.00967789	−	0.00259318i	−0.000318207	−	8.52633e-5i
$926$	−27.7487	−	48.0621i	−0.911877	−	1.57942i
$927$	2.54073	−	4.40067i	0.0834484	−	0.144537i
$928$	−23.6269	+	23.6269i	−0.775590	+	0.775590i
$929$	55.3729	−	14.8371i	1.81672	−	0.486790i	0.820350	−	0.571862i	$-0.193779\pi$
$929$	55.3729	−	14.8371i	1.81672	−	0.486790i	0.996375	+	0.0850723i	$0.0271121\pi$
$930$	4.02442	+	15.0194i	0.131966	+	0.492504i
$931$	−3.91060	−	43.4052i	−0.128165	−	1.42255i
$932$	14.5325	−	25.1711i	0.476029	−	0.824506i
$933$	−4.59734	+	2.65428i	−0.150510	+	0.0868971i
$934$	2.09413	+	0.561120i	0.0685219	+	0.0183604i
$935$			26.1513i			0.855239i
$936$	−0.845318	+	0.441822i	−0.0276301	+	0.0144414i
$937$			33.7193i			1.10156i	0.834650	+	0.550781i	$0.185670\pi$
$937$			33.7193i			1.10156i	−0.834650	+	0.550781i	$0.814330\pi$
$938$	55.7329	−	9.90153i	1.81974	−	0.323297i
$939$	−9.24008	−	16.0043i	−0.301539	−	0.522280i
$940$	−33.6905	−	19.4512i	−1.09886	−	0.634429i
$941$	25.6240	+	25.6240i	0.835317	+	0.835317i	0.988238	−	0.152921i	$-0.0488680\pi$
$941$	25.6240	+	25.6240i	0.835317	+	0.835317i	−0.152921	+	0.988238i	$0.548868\pi$
$942$	−4.37139	−	16.3142i	−0.142427	−	0.531546i
$943$	10.7691	+	40.1907i	0.350689	+	1.30879i
$944$	13.0170	−	13.0170i	0.423666	−	0.423666i
$945$	−0.503451	+	5.84146i	−0.0163773	+	0.190023i
$946$	49.9746	−	28.8529i	1.62482	−	0.938088i
$947$	−1.59393	+	5.94864i	−0.0517959	+	0.193305i	−0.986976	−	0.160868i	$-0.948571\pi$
$947$	−1.59393	+	5.94864i	−0.0517959	+	0.193305i	0.935180	+	0.354172i	$0.115237\pi$
$948$	28.3709			0.921442
$949$	32.2686	−	50.8368i	1.04748	−	1.65023i
$950$		−	1.12774i		−	0.0365886i
$951$	5.43899	−	20.2986i	0.176371	−	0.658227i
$952$	1.05329	−	1.50840i	0.0341373	−	0.0488875i
$953$	19.0413	+	10.9935i	0.616810	+	0.356115i	0.775626	−	0.631193i	$-0.217434\pi$
$953$	19.0413	+	10.9935i	0.616810	+	0.356115i	−0.158816	+	0.987308i	$0.550768\pi$
$954$	13.2852	−	13.2852i	0.430125	−	0.430125i
$955$	19.0437	−	5.10274i	0.616239	−	0.165121i
$956$	−13.6788	+	3.66522i	−0.442404	+	0.118542i
$957$	−13.1040	+	13.1040i	−0.423592	+	0.423592i
$958$	−67.5715	−	39.0124i	−2.18314	−	1.26043i
$959$	−6.27783	+	8.99039i	−0.202722	+	0.290315i
$960$	−5.16502	+	19.2761i	−0.166700	+	0.622134i
$961$		−	19.0797i		−	0.615473i
$962$	−0.246392	+	0.785983i	−0.00794399	+	0.0253411i
$963$	1.04203			0.0335791
$964$	8.59854	−	32.0902i	0.276940	−	1.03356i
$965$	−8.59168	+	4.96041i	−0.276576	+	0.159681i
$966$	2.44649	−	28.3862i	0.0787144	−	0.913311i
$967$	17.4299	−	17.4299i	0.560507	−	0.560507i	−0.368944	−	0.929452i	$-0.620281\pi$
$967$	17.4299	−	17.4299i	0.560507	−	0.560507i	0.929452	+	0.368944i	$0.120281\pi$
$968$	−0.626873	−	2.33952i	−0.0201485	−	0.0751951i
$969$	4.23556	+	15.8073i	0.136066	+	0.507805i
$970$	−6.37449	−	6.37449i	−0.204673	−	0.204673i
$971$	27.7120	+	15.9995i	0.889319	+	0.513449i	0.873720	−	0.486430i	$-0.161701\pi$
$971$	27.7120	+	15.9995i	0.889319	+	0.513449i	0.0155992	+	0.999878i	$0.495034\pi$
$972$	1.06508	+	1.84478i	0.0341626	+	0.0591714i
$973$	−42.4948	+	7.54965i	−1.36232	+	0.242031i
$974$			54.0430i			1.73165i
$975$	−0.217501	−	0.236575i	−0.00696562	−	0.00757646i
$976$			14.3388i			0.458975i
$977$	−50.6623	−	13.5749i	−1.62083	−	0.434300i	−0.669585	−	0.742735i	$-0.733528\pi$
$977$	−50.6623	−	13.5749i	−1.62083	−	0.434300i	−0.951245	+	0.308435i	$0.900195\pi$
$978$	−0.701627	+	0.405085i	−0.0224356	+	0.0129532i
$979$	−18.4292	+	31.9204i	−0.589001	+	1.02018i
$980$	32.9106	−	2.96509i	1.05129	−	0.0947163i
$981$	−1.04942	−	3.91650i	−0.0335055	−	0.125044i
$982$	−32.7545	+	8.77655i	−1.04524	+	0.280071i
$983$	14.3239	−	14.3239i	0.456860	−	0.456860i	−0.440763	−	0.897623i	$-0.645292\pi$
$983$	14.3239	−	14.3239i	0.456860	−	0.456860i	0.897623	+	0.440763i	$0.145292\pi$
$984$	−1.03864	+	1.79898i	−0.0331106	+	0.0573493i
$985$	1.80520	+	3.12669i	0.0575183	+	0.0996247i
$986$	−21.2992	−	5.70712i	−0.678306	−	0.181752i
$987$	−9.24024	−	19.7490i	−0.294120	−	0.628619i
$988$	−47.7752	−	2.00680i	−1.51993	−	0.0638449i
$989$	33.5133			1.06566
$990$	−5.23309	+	19.5301i	−0.166318	+	0.620709i
$991$	26.6097	+	46.0893i	0.845284	+	1.46407i	0.885374	+	0.464879i	$0.153902\pi$
$991$	26.6097	+	46.0893i	0.845284	+	1.46407i	−0.0400904	+	0.999196i	$0.512765\pi$
$992$	−13.9738	+	24.2033i	−0.443669	+	0.768457i
$993$	21.6288	+	21.6288i	0.686371	+	0.686371i
$994$	47.7093	+	56.7086i	1.51325	+	1.79869i
$995$	26.6187	−	7.13247i	0.843871	−	0.226115i
$996$	−10.9821	−	10.9821i	−0.347982	−	0.347982i
$997$	4.16686	+	2.40574i	0.131966	+	0.0761904i	0.564529	−	0.825413i	$-0.309058\pi$
$997$	4.16686	+	2.40574i	0.131966	+	0.0761904i	−0.432564	+	0.901603i	$0.642391\pi$
$998$	61.0019	−	35.2195i	1.93098	−	1.11485i
$999$	0.108582	+	0.0290943i	0.00343537	+	0.000920504i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.by.c.223.7	yes	32
3.2	odd	2		819.2.fm.f.496.2		32
7.6	odd	2		273.2.by.d.223.7	yes	32
13.7	odd	12		273.2.by.d.202.7	yes	32
21.20	even	2		819.2.fm.e.496.2		32
39.20	even	12		819.2.fm.e.748.2		32
91.20	even	12	inner	273.2.by.c.202.7	✓	32
273.20	odd	12		819.2.fm.f.748.2		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.by.c.202.7	✓	32	91.20	even	12	inner
273.2.by.c.223.7	yes	32	1.1	even	1	trivial
273.2.by.d.202.7	yes	32	13.7	odd	12
273.2.by.d.223.7	yes	32	7.6	odd	2
819.2.fm.e.496.2		32	21.20	even	2
819.2.fm.e.748.2		32	39.20	even	12
819.2.fm.f.496.2		32	3.2	odd	2
819.2.fm.f.748.2		32	273.20	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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.by (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.96303 + 0.525993i) q^{2} +(-0.866025 + 0.500000i) q^{3} +(1.84478 + 1.06508i) q^{4} +(1.56698 + 1.56698i) q^{5} +(-1.96303 + 0.525993i) q^{6} +(2.02456 - 1.70328i) q^{7} +(0.187059 + 0.187059i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\)	\(q+(1.96303 + 0.525993i) q^{2} +(-0.866025 + 0.500000i) q^{3} +(1.84478 + 1.06508i) q^{4} +(1.56698 + 1.56698i) q^{5} +(-1.96303 + 0.525993i) q^{6} +(2.02456 - 1.70328i) q^{7} +(0.187059 + 0.187059i) q^{8} +(0.500000 - 0.866025i) q^{9} +(2.25182 + 3.90026i) q^{10} +(-1.16197 + 4.33653i) q^{11} -2.13017 q^{12} +(-3.51879 + 0.786201i) q^{13} +(4.87020 - 2.27868i) q^{14} +(-2.14054 - 0.573555i) q^{15} +(-1.86136 - 3.22397i) q^{16} +(1.31427 - 2.27639i) q^{17} +(1.43704 - 1.43704i) q^{18} +(6.01372 - 1.61137i) q^{19} +(1.22177 + 4.55971i) q^{20} +(-0.901685 + 2.48736i) q^{21} +(-4.56197 + 7.90156i) q^{22} +(-4.58893 + 2.64942i) q^{23} +(-0.255528 - 0.0684684i) q^{24} -0.0891302i q^{25} +(-7.32104 - 0.307521i) q^{26} +1.00000i q^{27} +(5.54901 - 0.985840i) q^{28} +(-2.06391 - 3.57480i) q^{29} +(-3.90026 - 2.25182i) q^{30} +(-2.44135 - 2.44135i) q^{31} +(-2.09506 - 7.81887i) q^{32} +(-1.16197 - 4.33653i) q^{33} +(3.77733 - 3.77733i) q^{34} +(5.84146 + 0.503451i) q^{35} +(1.84478 - 1.06508i) q^{36} +(0.0290943 - 0.108582i) q^{37} +12.6527 q^{38} +(2.65426 - 2.44027i) q^{39} +0.586237i q^{40} +(2.03234 - 7.58481i) q^{41} +(-3.07837 + 4.40849i) q^{42} +(-5.47731 - 3.16233i) q^{43} +(-6.76235 + 6.76235i) q^{44} +(2.14054 - 0.573555i) q^{45} +(-10.4018 + 2.78716i) q^{46} +(-5.82732 + 5.82732i) q^{47} +(3.22397 + 1.86136i) q^{48} +(1.19770 - 6.89677i) q^{49} +(0.0468819 - 0.174966i) q^{50} +2.62855i q^{51} +(-7.32877 - 2.29744i) q^{52} +9.24486 q^{53} +(-0.525993 + 1.96303i) q^{54} +(-8.61605 + 4.97448i) q^{55} +(0.697326 + 0.0600996i) q^{56} +(-4.40235 + 4.40235i) q^{57} +(-2.17121 - 8.10305i) q^{58} +(1.27986 + 4.77649i) q^{59} +(-3.33794 - 3.33794i) q^{60} +(-3.33568 - 1.92586i) q^{61} +(-3.50831 - 6.07658i) q^{62} +(-0.462799 - 2.60496i) q^{63} -9.00526i q^{64} +(-6.74585 - 4.28192i) q^{65} -9.12394i q^{66} +(10.1688 + 2.72472i) q^{67} +(4.84909 - 2.79963i) q^{68} +(2.64942 - 4.58893i) q^{69} +(11.2022 + 4.06086i) q^{70} +(3.56722 + 13.3131i) q^{71} +(0.255528 - 0.0684684i) q^{72} +(-11.8088 + 11.8088i) q^{73} +(0.114226 - 0.197846i) q^{74} +(0.0445651 + 0.0771890i) q^{75} +(12.8102 + 3.43249i) q^{76} +(5.03382 + 10.7587i) q^{77} +(6.49397 - 3.39420i) q^{78} -13.3186 q^{79} +(2.13518 - 7.96862i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(7.97912 - 13.8202i) q^{82} +(5.15552 + 5.15552i) q^{83} +(-4.31266 + 3.62827i) q^{84} +(5.62651 - 1.50762i) q^{85} +(-9.08878 - 9.08878i) q^{86} +(3.57480 + 2.06391i) q^{87} +(-1.02854 + 0.593831i) q^{88} +(7.93017 + 2.12488i) q^{89} +4.50363 q^{90} +(-5.78489 + 7.58518i) q^{91} -11.2874 q^{92} +(3.33494 + 0.893595i) q^{93} +(-14.5044 + 8.37409i) q^{94} +(11.9484 + 6.89840i) q^{95} +(5.72381 + 5.72381i) q^{96} +(-1.93349 + 0.518076i) q^{97} +(5.97879 - 12.9086i) q^{98} +(3.17456 + 3.17456i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q - 2 q^{2} + 6 q^{4} - 2 q^{5} + 2 q^{6} - 2 q^{7} + 2 q^{8} + 16 q^{9}+O(q^{10}) \) 32 * q - 2 * q^2 + 6 * q^4 - 2 * q^5 + 2 * q^6 - 2 * q^7 + 2 * q^8 + 16 * q^9	\( 32 q - 2 q^{2} + 6 q^{4} - 2 q^{5} + 2 q^{6} - 2 q^{7} + 2 q^{8} + 16 q^{9} - 2 q^{10} - 4 q^{11} - 32 q^{12} - 6 q^{13} + 34 q^{14} + 4 q^{15} + 14 q^{16} + 8 q^{17} + 2 q^{18} - 2 q^{19} - 44 q^{20} + 2 q^{21} - 4 q^{22} - 18 q^{23} - 4 q^{24} + 28 q^{26} - 18 q^{28} - 18 q^{29} + 14 q^{31} - 8 q^{32} - 4 q^{33} + 66 q^{34} - 20 q^{35} + 6 q^{36} - 24 q^{37} - 24 q^{38} + 8 q^{39} + 16 q^{42} - 6 q^{43} - 20 q^{44} - 4 q^{45} - 58 q^{46} + 28 q^{47} + 60 q^{48} + 10 q^{49} + 70 q^{50} - 28 q^{52} - 80 q^{53} + 4 q^{54} - 60 q^{55} - 120 q^{56} + 16 q^{57} - 4 q^{58} + 42 q^{59} - 58 q^{60} - 36 q^{61} - 52 q^{62} + 2 q^{63} + 14 q^{65} + 26 q^{67} + 72 q^{68} - 2 q^{69} + 68 q^{70} - 4 q^{71} + 4 q^{72} - 12 q^{73} - 18 q^{74} - 16 q^{75} + 48 q^{76} - 28 q^{77} - 14 q^{78} - 4 q^{79} + 98 q^{80} - 16 q^{81} - 20 q^{82} + 36 q^{83} + 32 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} + 54 q^{89} - 4 q^{90} - 54 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} - 22 q^{96} + 40 q^{97} + 4 q^{99}+O(q^{100}) \) 32 * q - 2 * q^2 + 6 * q^4 - 2 * q^5 + 2 * q^6 - 2 * q^7 + 2 * q^8 + 16 * q^9 - 2 * q^10 - 4 * q^11 - 32 * q^12 - 6 * q^13 + 34 * q^14 + 4 * q^15 + 14 * q^16 + 8 * q^17 + 2 * q^18 - 2 * q^19 - 44 * q^20 + 2 * q^21 - 4 * q^22 - 18 * q^23 - 4 * q^24 + 28 * q^26 - 18 * q^28 - 18 * q^29 + 14 * q^31 - 8 * q^32 - 4 * q^33 + 66 * q^34 - 20 * q^35 + 6 * q^36 - 24 * q^37 - 24 * q^38 + 8 * q^39 + 16 * q^42 - 6 * q^43 - 20 * q^44 - 4 * q^45 - 58 * q^46 + 28 * q^47 + 60 * q^48 + 10 * q^49 + 70 * q^50 - 28 * q^52 - 80 * q^53 + 4 * q^54 - 60 * q^55 - 120 * q^56 + 16 * q^57 - 4 * q^58 + 42 * q^59 - 58 * q^60 - 36 * q^61 - 52 * q^62 + 2 * q^63 + 14 * q^65 + 26 * q^67 + 72 * q^68 - 2 * q^69 + 68 * q^70 - 4 * q^71 + 4 * q^72 - 12 * q^73 - 18 * q^74 - 16 * q^75 + 48 * q^76 - 28 * q^77 - 14 * q^78 - 4 * q^79 + 98 * q^80 - 16 * q^81 - 20 * q^82 + 36 * q^83 + 32 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 + 54 * q^89 - 4 * q^90 - 54 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 - 22 * q^96 + 40 * q^97 + 4 * q^99

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