LMFDB - Embedded newform 273.2.by.d.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.d.202.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.96303 + 0.525993i) q^{2} +(0.866025 - 0.500000i) q^{3} +(1.84478 + 1.06508i) q^{4} +(-1.56698 - 1.56698i) q^{5} +(1.96303 - 0.525993i) q^{6} +(2.60496 + 0.462799i) q^{7} +(0.187059 + 0.187059i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})$	\(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} +(2.60496 + 0.462799i) 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} +(2.48736 - 0.901685i) 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} +(4.31266 + 3.62827i) 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} +(-3.35673 - 4.80713i) 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} +(5.35705 - 0.461702i) 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} +(6.57163 + 2.41114i) 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} +(0.400711 + 0.573853i) 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} +(1.70328 - 2.02456i) 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} +(-4.06086 - 11.2022i) 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} +(5.54901 + 0.985840i) 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} +(9.53016 - 0.419530i) 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} +(11.6321 + 8.18979i) 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} - 4 q^{21} - 4 q^{22} - 18 q^{23} + 4 q^{24} - 28 q^{26} - 32 q^{28} - 18 q^{29} - 14 q^{31} - 8 q^{32} + 4 q^{33} - 66 q^{34} + 22 q^{35} + 6 q^{36} - 24 q^{37} + 24 q^{38} + 8 q^{39} - 26 q^{42} - 6 q^{43} - 20 q^{44} + 4 q^{45} - 58 q^{46} - 28 q^{47} - 60 q^{48} + 8 q^{49} + 70 q^{50} + 28 q^{52} - 80 q^{53} - 4 q^{54} + 60 q^{55} - 54 q^{56} + 16 q^{57} - 4 q^{58} - 42 q^{59} - 58 q^{60} + 36 q^{61} + 52 q^{62} + 4 q^{63} + 14 q^{65} + 26 q^{67} - 72 q^{68} + 2 q^{69} - 116 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} - 18 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} - 54 q^{89} + 4 q^{90} + 148 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} + 22 q^{96} - 40 q^{97} + 36 q^{98} + 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 - 4 * q^21 - 4 * q^22 - 18 * q^23 + 4 * q^24 - 28 * q^26 - 32 * q^28 - 18 * q^29 - 14 * q^31 - 8 * q^32 + 4 * q^33 - 66 * q^34 + 22 * q^35 + 6 * q^36 - 24 * q^37 + 24 * q^38 + 8 * q^39 - 26 * q^42 - 6 * q^43 - 20 * q^44 + 4 * q^45 - 58 * q^46 - 28 * q^47 - 60 * q^48 + 8 * q^49 + 70 * q^50 + 28 * q^52 - 80 * q^53 - 4 * q^54 + 60 * q^55 - 54 * q^56 + 16 * q^57 - 4 * q^58 - 42 * q^59 - 58 * q^60 + 36 * q^61 + 52 * q^62 + 4 * q^63 + 14 * q^65 + 26 * q^67 - 72 * q^68 + 2 * q^69 - 116 * 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 - 18 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 - 54 * q^89 + 4 * q^90 + 148 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 + 22 * q^96 - 40 * q^97 + 36 * q^98 + 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	0.263801	−	0.964577i	$-0.415024\pi$
$5$	−1.56698	−	1.56698i	−0.700776	−	0.700776i	−0.964577	+	0.263801i	$0.915024\pi$
$6$	1.96303	−	0.525993i	0.801405	−	0.214736i
$7$	2.60496	+	0.462799i	0.984582	+	0.174921i
$7$	2.60496	+	0.462799i	0.984582	+	0.174921i
$8$	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	−0.980229	−	0.197865i	$-0.936599\pi$
$17$	−1.31427	+	2.27639i	−0.318758	+	0.552105i	0.661471	+	0.749971i	$0.269932\pi$
$18$	1.43704	−	1.43704i	0.338714	−	0.338714i
$19$	−6.01372	+	1.61137i	−1.37964	+	0.369674i	−0.870991	−	0.491299i	$-0.836522\pi$
$19$	−6.01372	+	1.61137i	−1.37964	+	0.369674i	−0.508650	+	0.860973i	$0.669855\pi$
$20$	−1.22177	−	4.55971i	−0.273196	−	1.01958i
$21$	2.48736	−	0.901685i	0.542787	−	0.196764i
$22$	−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
$28$	4.31266	+	3.62827i	0.815016	+	0.685678i
$29$	−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	0.891500	−	0.453021i	$-0.149654\pi$
$31$	2.44135	+	2.44135i	0.438479	+	0.438479i	−0.453021	+	0.891500i	$0.649654\pi$
$32$	−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
$35$	−3.35673	−	4.80713i	−0.567391	−	0.812552i
$36$	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	$0.293438\pi$
$41$	−2.03234	+	7.58481i	−0.317399	+	1.18455i	−0.921735	+	0.387819i	$0.873228\pi$
$42$	5.35705	−	0.461702i	0.826611	−	0.0712422i
$43$	−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	−0.140131	−	0.990133i	$-0.544752\pi$
$47$	5.82732	−	5.82732i	0.850002	−	0.850002i	0.990133	+	0.140131i	$0.0447524\pi$
$48$	−3.22397	−	1.86136i	−0.465340	−	0.268664i
$49$	6.57163	+	2.41114i	0.938805	+	0.344449i
$50$	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
$56$	0.400711	+	0.573853i	0.0535473	+	0.0766843i
$57$	−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	$-0.979015\pi$
$59$	−1.27986	−	4.77649i	−0.166623	−	0.621846i	0.831205	−	0.555967i	$-0.187652\pi$
$60$	−3.33794	−	3.33794i	−0.430926	−	0.430926i
$61$	3.33568	+	1.92586i	0.427090	+	0.246581i	0.698106	−	0.715994i	$-0.254026\pi$
$61$	3.33568	+	1.92586i	0.427090	+	0.246581i	−0.271016	+	0.962575i	$0.587360\pi$
$62$	3.50831	+	6.07658i	0.445556	+	0.771726i
$63$	1.70328	−	2.02456i	0.214593	−	0.255071i
$64$		−	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
$70$	−4.06086	−	11.2022i	−0.485365	−	1.33891i
$71$	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	$-0.317948\pi$
$73$	11.8088	−	11.8088i	1.38211	−	1.38211i	0.840856	−	0.541259i	$-0.182052\pi$
$74$	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	0.365083	−	0.930975i	$-0.381041\pi$
$83$	−5.15552	−	5.15552i	−0.565892	−	0.565892i	−0.930975	+	0.365083i	$0.881041\pi$
$84$	5.54901	+	0.985840i	0.605446	+	0.107564i
$85$	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	−0.187265	−	0.982309i	$-0.559962\pi$
$89$	−7.93017	−	2.12488i	−0.840596	−	0.225237i	−0.653331	+	0.757072i	$0.726629\pi$
$90$	−4.50363			−0.474725
$91$	9.53016	−	0.419530i	0.999032	−	0.0439787i
$92$	−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	−0.159321	−	0.987227i	$-0.550931\pi$
$97$	1.93349	−	0.518076i	0.196316	−	0.0526027i	0.355637	+	0.934624i	$0.384264\pi$
$98$	11.6321	+	8.18979i	1.17502	+	0.827294i
$99$	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	0.550903	−	0.834569i	$-0.314283\pi$
$101$	−4.49537	−	7.78621i	−0.447306	−	0.774757i	−0.998210	+	0.0598118i	$0.980950\pi$
$102$	−1.38260	+	5.15993i	−0.136898	+	0.510909i
$103$	−5.08145			−0.500690			−0.250345	−	0.968157i	$-0.580544\pi$
$103$	−5.08145			−0.500690			−0.250345	+	0.968157i	$0.580544\pi$
$104$	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
$112$	−3.35672	−	9.25974i	−0.317180	−	0.874963i
$113$	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
$119$	−4.47714	+	5.32166i	−0.410419	+	0.487836i
$120$	−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
$126$	4.40849	−	3.07837i	0.392740	−	0.274243i
$127$	−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	$-0.885401\pi$
$131$		−	8.06442i		−	0.704591i	0.935889	−	0.352296i	$-0.114599\pi$
$132$	−2.47519	+	9.23754i	−0.215438	+	0.804025i
$133$	−16.4112	+	1.41442i	−1.42303	+	0.122645i
$134$	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	0.960171	−	0.279413i	$-0.0901397\pi$
$139$	14.1275	+	8.15651i	1.19828	+	0.691826i	0.238107	+	0.971239i	$0.423473\pi$
$140$	−1.07244	−	12.4433i	−0.0906373	−	1.05165i
$141$	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
$147$	6.89677	−	1.19770i	0.568836	−	0.0987850i
$148$	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
$154$	−15.5406	+	18.4720i	−1.25230	+	1.48851i
$155$		−	7.65110i		−	0.614551i
$156$	7.49562	−	1.67474i	0.600130	−	0.134087i
$157$		−	8.31072i		−	0.663268i	−0.943408	−	0.331634i	$-0.892400\pi$
$157$		−	8.31072i		−	0.663268i	0.943408	−	0.331634i	$-0.107600\pi$
$158$	−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
$161$	−13.1801	+	4.77789i	−1.03874	+	0.376550i
$162$	−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	0.928191	−	0.372105i	$-0.121364\pi$
$167$	19.9784	+	5.35319i	1.54597	+	0.414243i	0.617784	+	0.786348i	$0.288031\pi$
$168$	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	$-0.573533\pi$
$173$	9.58243	−	16.5973i	0.728539	−	1.26187i	0.957501	−	0.288431i	$-0.0931334\pi$
$174$	−5.93184	−	5.93184i	−0.449692	−	0.449692i
$175$	0.0412493	−	0.232181i	0.00311816	−	0.0175512i
$176$	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	$-0.711015\pi$
$181$	−16.5594			−1.23085			−0.615424	+	0.788197i	$0.711015\pi$
$182$	18.9287	+	4.18925i	1.40309	+	0.310528i
$183$	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
$189$	0.462799	−	2.60496i	0.0336637	−	0.189483i
$190$	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	−0.997746	−	0.0670965i	$-0.978626\pi$
$199$	−6.21777	+	10.7695i	−0.440766	+	0.763429i	0.556981	+	0.830526i	$0.311960\pi$
$200$	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
$203$	−3.72199	−	10.2674i	−0.261233	−	0.720629i
$204$	−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
$210$	−9.11789	−	7.67093i	−0.629194	−	0.529345i
$211$	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
$217$	5.22976	+	7.48946i	0.355019	+	0.508418i
$218$	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	−0.997403	−	0.0720186i	$-0.977056\pi$
$223$	−1.45774	+	5.44036i	−0.0976174	+	0.364313i	0.899786	+	0.436332i	$0.143723\pi$
$224$	−1.83898	−	21.3374i	−0.122872	−	1.42567i
$225$	−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	−0.117677	−	0.993052i	$-0.537545\pi$
$227$	4.17248	−	1.11801i	0.276937	−	0.0742050i	0.394614	+	0.918847i	$0.370878\pi$
$228$	−12.8102	+	3.43249i	−0.848379	+	0.227322i
$229$	−16.9969	+	16.9969i	−1.12319	+	1.12319i	−0.131929	+	0.991259i	$0.542117\pi$
$229$	−16.9969	+	16.9969i	−1.12319	+	1.12319i	−0.991259	+	0.131929i	$0.957883\pi$
$230$	20.6669	+	11.9320i	1.36273	+	0.786775i
$231$	1.01994	+	11.8342i	0.0671074	+	0.778636i
$232$	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
$238$	−11.5879	+	8.09165i	−0.751134	+	0.524504i
$239$	−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	$0.0841847\pi$
$241$	4.03655	+	15.0646i	0.260017	+	0.970397i	−0.705213	+	0.708995i	$0.749149\pi$
$242$	−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
$245$	−6.51942	−	14.0759i	−0.416510	−	0.899274i
$246$			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	−0.937943	−	0.346791i	$-0.887271\pi$
$251$	−2.67179	+	4.62768i	−0.168642	+	0.292096i	0.769301	+	0.638887i	$0.220605\pi$
$252$	5.29850	−	1.92074i	0.333774	−	0.120995i
$253$	−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	0.999937	−	0.0111844i	$-0.00356018\pi$
$257$	7.85983	+	13.6136i	0.490283	+	0.849195i	−0.509655	+	0.860379i	$0.670227\pi$
$258$	−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
$266$	−32.9598	−	5.85565i	−2.02089	−	0.359033i
$267$	−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	−0.194496	−	0.980903i	$-0.562307\pi$
$269$	−18.7176	−	10.8066i	−1.14123	−	0.658890i	−0.946735	+	0.322013i	$0.895640\pi$
$270$	−3.90026	+	2.25182i	−0.237362	+	0.137041i
$271$	−5.82362	−	1.56043i	−0.353760	−	0.0947896i	0.0775628	−	0.996987i	$-0.475286\pi$
$271$	−5.82362	−	1.56043i	−0.353760	−	0.0947896i	−0.431322	+	0.902198i	$0.641953\pi$
$272$	9.78534			0.593323
$273$	8.04360	−	5.12840i	0.486821	−	0.310385i
$274$	−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
$280$	0.271310	−	1.52712i	0.0162139	−	0.0912631i
$281$	−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	$-0.847268\pi$
$283$	−14.1867	−	24.5721i	−0.843314	−	1.46066i	0.0437635	−	0.999042i	$-0.486065\pi$
$284$	−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	$0.0155836\pi$
$293$	2.70937	+	10.1115i	0.158283	+	0.590720i	−0.840519	+	0.541782i	$0.817750\pi$
$294$	14.1686	+	1.27652i	0.826329	+	0.0744483i
$295$	−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
$301$	−12.8047	−	10.7726i	−0.738048	−	0.620924i
$302$	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	−0.860626	−	0.509237i	$-0.829928\pi$
$307$	−6.15683	+	6.15683i	−0.351389	+	0.351389i	0.509237	+	0.860626i	$0.329928\pi$
$308$	−20.7453	+	14.4860i	−1.18207	+	0.825419i
$309$	−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	$-0.548092\pi$
$311$	−5.30855			−0.301020			−0.150510	+	0.988608i	$0.548092\pi$
$312$	0.952978	+	0.0400300i	0.0539518	+	0.00226625i
$313$		−	18.4802i		−	1.04456i	−0.852774	−	0.522280i	$-0.825082\pi$
$313$		−	18.4802i		−	1.04456i	0.852774	−	0.522280i	$-0.174918\pi$
$314$	4.37139	−	16.3142i	0.246692	−	0.920665i
$315$	−5.84146	+	0.503451i	−0.329129	+	0.0283662i
$316$	−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
$322$	−28.3862	+	2.44649i	−1.58190	+	0.136337i
$323$	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
$329$	17.8768	−	12.4831i	0.985580	−	0.688213i
$330$	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
$336$	−7.53687	−	6.34081i	−0.411170	−	0.345920i
$337$		−	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
$343$	16.0030	+	9.32228i	0.864079	+	0.503356i
$344$	−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	0.756696	−	0.653767i	$-0.226812\pi$
$349$	20.2719	+	5.43184i	1.08513	+	0.290760i	0.328434	+	0.944527i	$0.393479\pi$
$350$	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	$0.268525\pi$
$353$	−5.34444	+	19.9457i	−0.284456	+	1.06160i	−0.949236	+	0.314565i	$0.898141\pi$
$354$	−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
$357$	−1.21649	+	6.84726i	−0.0643834	+	0.362395i
$358$	−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
$364$	18.0279	+	9.37649i	0.944919	+	0.491462i
$365$	−37.0084			−1.93711
$366$	7.56104	+	2.02598i	0.395222	+	0.105899i
$367$	−20.8759	+	12.0527i	−1.08971	+	0.629146i	−0.933500	−	0.358578i	$-0.883262\pi$
$367$	−20.8759	+	12.0527i	−1.08971	+	0.629146i	−0.156212	+	0.987724i	$0.549928\pi$
$368$	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
$371$	24.0825	+	4.27851i	1.25030	+	0.222129i
$372$	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	−0.448085	−	0.893991i	$-0.647894\pi$
$383$	−7.61566	+	2.04061i	−0.389142	+	0.104270i	0.0589428	+	0.998261i	$0.481227\pi$
$384$	−0.546587	−	2.03989i	−0.0278929	−	0.104098i
$385$	24.7467	−	8.97082i	1.26121	−	0.457195i
$386$	−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
$392$	0.778258	+	1.68031i	0.0393080	+	0.0848686i
$393$	−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	$0.234618\pi$
$397$	8.67254	+	32.3664i	0.435262	+	1.62442i	−0.305175	+	0.952296i	$0.598715\pi$
$398$	−17.8704	+	17.8704i	−0.895761	+	0.895761i
$399$	−13.5053	+	9.43054i	−0.676113	+	0.472117i
$400$	−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
$406$	−1.90582	−	22.1130i	−0.0945844	−	1.09745i
$407$	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	−0.634012	−	0.773323i	$-0.718593\pi$
$409$	−16.1066	+	4.31575i	−0.796421	+	0.213400i	−0.162409	+	0.986724i	$0.551926\pi$
$410$	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
$413$	−1.12342	−	13.0349i	−0.0552800	−	0.641404i
$414$	−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	−0.109290	−	0.994010i	$-0.534858\pi$
$419$	14.2653	−	8.23605i	0.696904	−	0.402357i	0.806193	+	0.591652i	$0.201524\pi$
$420$	−7.15040	−	10.2400i	−0.348904	−	0.499660i
$421$	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
$427$	7.79803	+	6.56053i	0.377373	+	0.317486i
$428$			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	−0.915876	−	0.401460i	$-0.868503\pi$
$433$	−2.29443	+	3.97407i	−0.110263	+	0.190982i	0.805613	+	0.592442i	$0.201836\pi$
$434$	6.32678	+	17.4529i	0.303695	+	0.837765i
$435$	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	0.583634	−	0.812017i	$-0.301630\pi$
$439$	−8.62001	−	14.9303i	−0.411411	−	0.712584i	−0.995044	+	0.0994331i	$0.968297\pi$
$440$	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
$448$	4.16763	−	23.4584i	0.196902	−	1.10830i
$449$	−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
$455$	−15.5910	−	14.2762i	−0.730917	−	0.669279i
$456$	−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	0.197648	−	0.980273i	$-0.436670\pi$
$461$	18.4425	−	4.94165i	0.858953	−	0.230156i	0.661305	+	0.750117i	$0.270003\pi$
$462$	−4.22255	+	23.7675i	−0.196451	+	1.10576i
$463$	−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	$-0.507857\pi$
$467$	−1.06678			−0.0493647			−0.0246824	+	0.999695i	$0.507857\pi$
$468$	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
$476$	−13.9274	+	5.04876i	−0.638360	+	0.231410i
$477$	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	0.971529	−	0.236922i	$-0.0761387\pi$
$479$	37.0845	+	9.93677i	1.69444	+	0.454023i	0.722907	+	0.690945i	$0.242805\pi$
$480$			17.9382i			0.818764i
$481$	0.0170100	−	0.404950i	0.000775588	−	0.0184641i
$482$			31.6955i			1.44369i
$483$	−9.02539	+	10.7278i	−0.410669	+	0.488134i
$484$	−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
$490$	−5.39402	−	31.0606i	−0.243677	−	1.40317i
$491$	−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
$497$	3.13121	+	36.3309i	0.140454	+	1.62966i
$498$	−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	$0.0370675\pi$
$503$	35.6704	+	20.5943i	1.59046	+	0.918254i	0.597235	+	0.802066i	$0.296266\pi$
$504$	0.697326	−	0.0600996i	0.0310614	−	0.00267705i
$505$	−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	$-0.652821\pi$
$509$	8.60918	−	32.1299i	0.381595	−	1.42413i	0.843464	−	0.537185i	$-0.180512\pi$
$510$	10.2520	−	5.91901i	0.453967	−	0.262098i
$511$	36.2265	−	25.2963i	1.60257	−	1.11904i
$512$	−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
$518$	0.389118	−	0.462517i	0.0170969	−	0.0203218i
$519$		−	19.1649i		−	0.841244i
$520$	−0.460900	−	2.06285i	−0.0202118	−	0.0904618i
$521$			7.74380i			0.339262i	0.985508	+	0.169631i	$0.0542576\pi$
$521$			7.74380i			0.339262i	−0.985508	+	0.169631i	$0.945742\pi$
$522$	−8.10305	−	2.17121i	−0.354661	−	0.0950311i
$523$	−25.4357	+	14.6853i	−1.11223	+	0.642144i	−0.939405	−	0.342809i	$-0.888622\pi$
$523$	−25.4357	+	14.6853i	−1.11223	+	0.642144i	−0.172821	+	0.984953i	$0.555288\pi$
$524$	8.58929	−	14.8771i	0.375225	−	0.649908i
$525$	−0.0803673	−	0.221699i	−0.00350752	−	0.00967574i
$526$	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
$539$	−18.0920	+	25.6964i	−0.779279	+	1.10682i
$540$	−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
$546$	18.4874	−	5.83635i	0.791186	−	0.249773i
$547$	−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
$553$	−34.6944	−	6.16383i	−1.47536	−	0.262113i
$554$	−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	−0.547971	−	0.836497i	$-0.684600\pi$
$563$	10.6879	−	18.5120i	0.450442	−	0.780189i	0.998413	+	0.0563081i	$0.0179329\pi$
$564$	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
$567$	−0.901685	−	2.48736i	−0.0378672	−	0.104459i
$568$	−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
$574$	−27.1813	+	32.3085i	−1.13452	+	1.34853i
$575$	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	0.461829	−	0.886969i	$-0.347193\pi$
$577$	−10.2122	−	10.2122i	−0.425140	−	0.425140i	−0.886969	+	0.461829i	$0.847193\pi$
$578$	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
$581$	−11.0440	−	15.8159i	−0.458180	−	0.656154i
$582$	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	$0.269763\pi$
$587$	−6.93252	+	25.8725i	−0.286136	+	1.06787i	−0.948005	+	0.318254i	$0.896903\pi$
$588$	13.9987	+	5.13615i	0.577297	+	0.211811i
$589$	−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	−0.794485	−	0.607284i	$-0.792259\pi$
$593$	−4.55865	+	4.55865i	−0.187201	+	0.187201i	0.607284	+	0.794485i	$0.292259\pi$
$594$	7.90156	+	4.56197i	0.324205	+	0.187180i
$595$	15.3545	−	1.32334i	0.629475	−	0.0542518i
$596$	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	−0.218250	−	0.975893i	$-0.570035\pi$
$601$	12.6934	−	7.32853i	0.517774	−	0.298937i	0.736023	+	0.676956i	$0.236701\pi$
$602$	−19.4696	−	27.8822i	−0.793523	−	1.13639i
$603$	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	0.665559	−	0.746345i	$-0.268193\pi$
$607$	8.67196	+	5.00676i	0.351984	+	0.203218i	−0.313575	+	0.949564i	$0.601527\pi$
$608$	25.1982	+	43.6446i	1.02192	+	1.77002i
$609$	−8.35703	−	7.03081i	−0.338644	−	0.284903i
$610$		−	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
$616$	−2.95414	+	1.07090i	−0.119026	+	0.0431476i
$617$	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	−0.999786	−	0.0206980i	$-0.993411\pi$
$619$	−24.3594	+	24.3594i	−0.979088	+	0.979088i	0.0206980	+	0.999786i	$0.493411\pi$
$620$	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
$630$	−11.7318	−	2.08428i	−0.467406	−	0.0830396i
$631$	−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
$637$	25.0199	+	3.31769i	0.991323	+	0.131452i
$638$	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	0.0358459	−	0.999357i	$-0.488587\pi$
$643$	14.3667	−	3.84955i	0.566568	−	0.151811i	0.530722	+	0.847546i	$0.321921\pi$
$644$	−29.4033	−	5.22381i	−1.15865	−	0.205847i
$645$	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	0.927171	−	0.374639i	$-0.122233\pi$
$647$	3.53916	+	6.13001i	0.139139	+	0.240995i	−0.788032	+	0.615634i	$0.788900\pi$
$648$	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
$658$	41.6588	−	15.1016i	1.62403	−	0.588721i
$659$	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	−0.256510	−	0.966542i	$-0.582573\pi$
$661$	−24.7310	−	6.62666i	−0.961925	−	0.257747i	−0.705415	+	0.708794i	$0.749239\pi$
$662$		−	62.1630i		−	2.41604i
$663$	2.06657	+	9.24931i	0.0802588	+	0.359213i
$664$		−	1.92877i		−	0.0748510i
$665$	27.9325	+	23.4998i	1.08318	+	0.911281i
$666$	−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
$672$	−12.2613	−	17.5593i	−0.472991	−	0.677364i
$673$	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	$-0.798629\pi$
$677$		−	30.7685i		−	1.18253i	0.806477	−	0.591265i	$-0.201371\pi$
$678$	4.61833	−	17.2358i	0.177366	−	0.661938i
$679$	5.27642	−	0.454753i	0.202490	−	0.0174518i
$680$	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
$686$	26.5109	+	26.7174i	1.01219	+	1.02008i
$687$	−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	−0.938878	−	0.344249i	$-0.888134\pi$
$691$	1.21810	−	4.54600i	0.0463386	−	0.172938i	0.985217	+	0.171311i	$0.0548003\pi$
$692$	35.3550	−	20.4122i	1.34399	−	0.775955i
$693$	6.80042	+	9.73878i	0.258327	+	0.369946i
$694$	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
$700$	0.323388	−	0.384388i	0.0122229	−	0.0145285i
$701$			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
$707$	−8.10682	−	22.3632i	−0.304888	−	0.841056i
$708$	−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	−0.669591	−	0.742730i	$-0.733531\pi$
$719$	8.27022	−	14.3244i	0.308427	−	0.534211i	0.978018	+	0.208518i	$0.0668641\pi$
$720$	5.83343	+	5.83343i	0.217399	+	0.217399i
$721$	−13.2370	−	2.35169i	−0.492971	−	0.0875815i
$722$	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	$-0.372674\pi$
$727$	21.0001			0.778851			0.389426	+	0.921058i	$0.372674\pi$
$728$	1.86118	+	1.70423i	0.0689800	+	0.0631629i
$729$	−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	0.506816	−	0.862054i	$-0.330822\pi$
$733$	−9.61770	−	9.61770i	−0.355238	−	0.355238i	−0.862054	+	0.506816i	$0.830822\pi$
$734$	−47.3197	+	12.6793i	−1.74660	+	0.468001i
$735$	−12.6839	−	8.93034i	−0.467853	−	0.329401i
$736$	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
$749$	0.939586	+	2.59192i	0.0343317	+	0.0947065i
$750$	−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
$756$	3.62827	−	4.31266i	0.131959	−	0.156850i
$757$	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	$-0.943934\pi$
$761$	−6.05559	−	22.5998i	−0.219515	−	0.819241i	0.765013	−	0.644014i	$-0.222732\pi$
$762$	−10.2917	+	10.2917i	−0.372828	+	0.372828i
$763$	8.79549	−	6.14173i	0.318418	−	0.222346i
$764$	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	$0.311026\pi$
$769$	−9.41454	+	35.1355i	−0.339497	+	1.26702i	−0.898911	+	0.438131i	$0.855640\pi$
$770$	53.2971	−	4.59345i	1.92069	−	0.165537i
$771$	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	0.416709	−	0.909040i	$-0.363183\pi$
$773$	34.2562	−	9.17892i	1.23211	−	0.330143i	0.815401	+	0.578897i	$0.196517\pi$
$774$	−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
$777$	−0.0255382	−	0.296315i	−0.000916177	−	0.0106303i
$778$	−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
$784$	−4.45871	−	25.6747i	−0.159240	−	0.916955i
$785$	−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	$0.101941\pi$
$787$	7.98311	+	29.7934i	0.284567	+	1.06202i	−0.664588	+	0.747210i	$0.731393\pi$
$788$	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
$791$	14.9551	−	17.7761i	0.531742	−	0.632044i
$792$			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	$0.394414\pi$
$797$	−18.5193	+	32.0763i	−0.655986	+	1.13620i	−0.981646	+	0.190714i	$0.938920\pi$
$798$	−31.4718	+	11.4087i	−1.11409	+	0.403865i
$799$	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	$-0.967472\pi$
$811$	−31.2346	−	31.2346i	−1.09680	−	1.09680i	−0.102013	−	0.994783i	$-0.532528\pi$
$812$	4.06937	−	22.9053i	0.142807	−	0.803819i
$813$	−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
$819$	4.40176	−	8.46313i	0.153810	−	0.295726i
$820$	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
$826$	4.65094	−	26.1788i	0.161827	−	0.910877i
$827$	−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	0.587572	−	0.809172i	$-0.300084\pi$
$829$	−11.7179	−	20.2959i	−0.406978	−	0.704906i	−0.994549	+	0.104266i	$0.966751\pi$
$830$	−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	$-0.842643\pi$
$839$	−10.2875	−	38.3937i	−0.355166	−	1.32550i	0.525110	−	0.851034i	$-0.324024\pi$
$840$	−0.528601	−	1.45818i	−0.0182385	−	0.0503121i
$841$	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
$847$	−18.5362	−	15.5946i	−0.636911	−	0.535837i
$848$	−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	−0.677911	−	0.735144i	$-0.737115\pi$
$853$	1.67153	−	1.67153i	0.0572322	−	0.0572322i	0.735144	+	0.677911i	$0.237115\pi$
$854$	11.8570	+	16.9803i	0.405738	+	0.581052i
$855$	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	$-0.314865\pi$
$857$	32.1656			1.09876			0.549378	+	0.835574i	$0.314865\pi$
$858$	7.17325	+	32.1052i	0.244891	+	1.09605i
$859$			10.9082i			0.372182i	0.982533	+	0.186091i	$0.0595819\pi$
$859$			10.9082i			0.372182i	−0.982533	+	0.186091i	$0.940418\pi$
$860$	−7.72727	+	28.8386i	−0.263498	+	0.983387i
$861$	1.78393	+	20.6987i	0.0607963	+	0.705410i
$862$	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
$868$	1.67085	+	19.3866i	0.0567122	+	0.658023i
$869$	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
$875$	−24.4641	+	17.0828i	−0.827037	+	0.577505i
$876$	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	$0.205962\pi$
$881$	27.3369	+	47.3489i	0.921004	+	1.59522i	0.123138	+	0.992390i	$0.460704\pi$
$882$	12.9086	−	5.97879i	0.434656	−	0.201316i
$883$			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	−0.361763	−	0.932270i	$-0.617825\pi$
$887$	7.88418	−	4.55194i	0.264725	−	0.152839i	0.626488	+	0.779431i	$0.284492\pi$
$888$	0.0148688	−	0.0257535i	0.000498965	−	0.000864232i
$889$	−17.8138	+	6.45761i	−0.597455	+	0.216581i
$890$	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
$903$	−16.4755	−	2.92704i	−0.548269	−	0.0974058i
$904$	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
$910$	−23.0965	−	36.2254i	−0.765640	−	1.20086i
$911$	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
$917$	3.73220	−	21.0075i	0.123248	−	0.693728i
$918$	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	−0.996375	−	0.0850723i	$-0.972888\pi$
$929$	−55.3729	+	14.8371i	−1.81672	+	0.486790i	−0.820350	+	0.571862i	$0.806221\pi$
$930$	−4.02442	−	15.0194i	−0.131966	−	0.492504i
$931$	−43.4052	−	3.91060i	−1.42255	−	0.128165i
$932$	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	$-0.814330\pi$
$937$		−	33.7193i		−	1.10156i	0.834650	−	0.550781i	$-0.185670\pi$
$938$	43.3153	+	36.4414i	1.41430	+	1.18985i
$939$	−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	0.152921	−	0.988238i	$-0.451132\pi$
$941$	−25.6240	−	25.6240i	−0.835317	−	0.835317i	−0.988238	+	0.152921i	$0.951132\pi$
$942$	−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
$945$	−4.80713	+	3.35673i	−0.156376	+	0.109194i
$946$	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
$952$	−1.83296	+	0.157975i	−0.0594064	+	0.00511999i
$953$	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
$959$	−10.9248	+	0.941564i	−0.352781	+	0.0304047i
$960$	−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
$966$	−23.3599	+	16.3118i	−0.751593	+	0.524824i
$967$	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	−0.0155992	−	0.999878i	$-0.504966\pi$
$971$	−27.7120	−	15.9995i	−0.889319	−	0.513449i	−0.873720	+	0.486430i	$0.838299\pi$
$972$	−1.06508	−	1.84478i	−0.0341626	−	0.0591714i
$973$	33.0267	+	27.7856i	1.05879	+	0.890765i
$974$			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
$980$	2.96509	−	32.9106i	0.0947163	−	1.05129i
$981$	−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	−0.897623	−	0.440763i	$-0.854708\pi$
$983$	−14.3239	+	14.3239i	−0.456860	+	0.456860i	0.440763	+	0.897623i	$0.354708\pi$
$984$	−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
$994$	−12.9631	+	72.9658i	−0.411166	+	2.31433i
$995$	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	0.432564	−	0.901603i	$-0.357609\pi$
$997$	−4.16686	−	2.40574i	−0.131966	−	0.0761904i	−0.564529	+	0.825413i	$0.690942\pi$
$998$	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.d.223.7	yes	32
3.2	odd	2		819.2.fm.e.496.2		32
7.6	odd	2		273.2.by.c.223.7	yes	32
13.7	odd	12		273.2.by.c.202.7	✓	32
21.20	even	2		819.2.fm.f.496.2		32
39.20	even	12		819.2.fm.f.748.2		32
91.20	even	12	inner	273.2.by.d.202.7	yes	32
273.20	odd	12		819.2.fm.e.748.2		32

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

\(f(q)\)	\(=\)	\(q+(1.96303 + 0.525993i) q^{2} +(0.866025 - 0.500000i) q^{3} +(1.84478 + 1.06508i) q^{4} +(-1.56698 - 1.56698i) q^{5} +(1.96303 - 0.525993i) q^{6} +(2.60496 + 0.462799i) q^{7} +(0.187059 + 0.187059i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\)	\(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} +(2.60496 + 0.462799i) 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} +(2.48736 - 0.901685i) 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} +(4.31266 + 3.62827i) 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} +(-3.35673 - 4.80713i) 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} +(5.35705 - 0.461702i) 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} +(6.57163 + 2.41114i) 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} +(0.400711 + 0.573853i) 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} +(1.70328 - 2.02456i) 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} +(-4.06086 - 11.2022i) 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} +(5.54901 + 0.985840i) 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} +(9.53016 - 0.419530i) 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} +(11.6321 + 8.18979i) 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	\( 32 q - 2 q^{2} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} + 16 q^{9} + 2 q^{10} - 4 q^{11} + 32 q^{12} + 6 q^{13} + 34 q^{14} + 4 q^{15} + 14 q^{16} - 8 q^{17} + 2 q^{18} + 2 q^{19} + 44 q^{20} - 4 q^{21} - 4 q^{22} - 18 q^{23} + 4 q^{24} - 28 q^{26} - 32 q^{28} - 18 q^{29} - 14 q^{31} - 8 q^{32} + 4 q^{33} - 66 q^{34} + 22 q^{35} + 6 q^{36} - 24 q^{37} + 24 q^{38} + 8 q^{39} - 26 q^{42} - 6 q^{43} - 20 q^{44} + 4 q^{45} - 58 q^{46} - 28 q^{47} - 60 q^{48} + 8 q^{49} + 70 q^{50} + 28 q^{52} - 80 q^{53} - 4 q^{54} + 60 q^{55} - 54 q^{56} + 16 q^{57} - 4 q^{58} - 42 q^{59} - 58 q^{60} + 36 q^{61} + 52 q^{62} + 4 q^{63} + 14 q^{65} + 26 q^{67} - 72 q^{68} + 2 q^{69} - 116 q^{70} - 4 q^{71} + 4 q^{72} + 12 q^{73} - 18 q^{74} + 16 q^{75} - 48 q^{76} + 28 q^{77} - 14 q^{78} - 4 q^{79} - 98 q^{80} - 16 q^{81} + 20 q^{82} - 36 q^{83} - 18 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} - 54 q^{89} + 4 q^{90} + 148 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} + 22 q^{96} - 40 q^{97} + 36 q^{98} + 4 q^{99}+O(q^{100}) \) 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 - 4 * q^21 - 4 * q^22 - 18 * q^23 + 4 * q^24 - 28 * q^26 - 32 * q^28 - 18 * q^29 - 14 * q^31 - 8 * q^32 + 4 * q^33 - 66 * q^34 + 22 * q^35 + 6 * q^36 - 24 * q^37 + 24 * q^38 + 8 * q^39 - 26 * q^42 - 6 * q^43 - 20 * q^44 + 4 * q^45 - 58 * q^46 - 28 * q^47 - 60 * q^48 + 8 * q^49 + 70 * q^50 + 28 * q^52 - 80 * q^53 - 4 * q^54 + 60 * q^55 - 54 * q^56 + 16 * q^57 - 4 * q^58 - 42 * q^59 - 58 * q^60 + 36 * q^61 + 52 * q^62 + 4 * q^63 + 14 * q^65 + 26 * q^67 - 72 * q^68 + 2 * q^69 - 116 * 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 - 18 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 - 54 * q^89 + 4 * q^90 + 148 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 + 22 * q^96 - 40 * q^97 + 36 * q^98 + 4 * q^99

Introduction

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