LMFDB - Embedded newform 273.2.bt.a.145.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(136,273)]

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, 2, 5]))

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

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

chi := DirichletCharacter("273.136");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.bt (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:	$36$
Relative dimension:	$9$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			145.4
Character	$\chi$	$=$	273.145
Dual form			273.2.bt.a.241.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.745928 + 0.745928i) q^{2} +(-0.866025 - 0.500000i) q^{3} +0.887184i q^{4} +(3.80456 - 1.01943i) q^{5} +(1.01896 - 0.273028i) q^{6} +(0.148943 - 2.64156i) q^{7} +(-2.15363 - 2.15363i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})$	\(q+(-0.745928 + 0.745928i) q^{2} +(-0.866025 - 0.500000i) q^{3} +0.887184i q^{4} +(3.80456 - 1.01943i) q^{5} +(1.01896 - 0.273028i) q^{6} +(0.148943 - 2.64156i) q^{7} +(-2.15363 - 2.15363i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-2.07751 + 3.59835i) q^{10} +(-0.913987 + 0.244902i) q^{11} +(0.443592 - 0.768324i) q^{12} +(-0.783899 - 3.51930i) q^{13} +(1.85931 + 2.08151i) q^{14} +(-3.80456 - 1.01943i) q^{15} +1.43854 q^{16} +7.96173 q^{17} +(-1.01896 - 0.273028i) q^{18} +(0.451695 - 1.68575i) q^{19} +(0.904422 + 3.37535i) q^{20} +(-1.44977 + 2.21318i) q^{21} +(0.499089 - 0.864448i) q^{22} +6.93477i q^{23} +(0.788283 + 2.94191i) q^{24} +(9.10535 - 5.25697i) q^{25} +(3.20988 + 2.04041i) q^{26} -1.00000i q^{27} +(2.34355 + 0.132140i) q^{28} +(1.71573 + 2.97173i) q^{29} +(3.59835 - 2.07751i) q^{30} +(-1.17258 + 4.37613i) q^{31} +(3.23422 - 3.23422i) q^{32} +(0.913987 + 0.244902i) q^{33} +(-5.93888 + 5.93888i) q^{34} +(-2.12622 - 10.2018i) q^{35} +(-0.768324 + 0.443592i) q^{36} +(-6.88481 - 6.88481i) q^{37} +(0.920514 + 1.59438i) q^{38} +(-1.08078 + 3.43976i) q^{39} +(-10.3891 - 5.99815i) q^{40} +(-0.117207 + 0.437421i) q^{41} +(-0.569453 - 2.73229i) q^{42} +(0.0936549 + 0.0540717i) q^{43} +(-0.217273 - 0.810875i) q^{44} +(2.78513 + 2.78513i) q^{45} +(-5.17284 - 5.17284i) q^{46} +(1.19435 + 4.45738i) q^{47} +(-1.24581 - 0.719268i) q^{48} +(-6.95563 - 0.786882i) q^{49} +(-2.87061 + 10.7132i) q^{50} +(-6.89506 - 3.98087i) q^{51} +(3.12227 - 0.695463i) q^{52} +(0.747827 + 1.29527i) q^{53} +(0.745928 + 0.745928i) q^{54} +(-3.22766 + 1.86349i) q^{55} +(-6.00970 + 5.36817i) q^{56} +(-1.23405 + 1.23405i) q^{57} +(-3.49650 - 0.936885i) q^{58} +(-3.42925 + 3.42925i) q^{59} +(0.904422 - 3.37535i) q^{60} +(-5.73215 + 3.30946i) q^{61} +(-2.38961 - 4.13893i) q^{62} +(2.36213 - 1.19179i) q^{63} +7.70205i q^{64} +(-6.57008 - 12.5903i) q^{65} +(-0.864448 + 0.499089i) q^{66} +(1.17090 + 4.36986i) q^{67} +7.06353i q^{68} +(3.46739 - 6.00569i) q^{69} +(9.19581 + 6.02380i) q^{70} +(-2.68009 - 10.0022i) q^{71} +(0.788283 - 2.94191i) q^{72} +(3.95501 + 1.05974i) q^{73} +10.2711 q^{74} -10.5139 q^{75} +(1.49557 + 0.400736i) q^{76} +(0.510791 + 2.45082i) q^{77} +(-1.75963 - 3.37199i) q^{78} +(0.473848 - 0.820728i) q^{79} +(5.47300 - 1.46649i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-0.238857 - 0.413712i) q^{82} +(-8.26062 - 8.26062i) q^{83} +(-1.96350 - 1.28621i) q^{84} +(30.2909 - 8.11643i) q^{85} +(-0.110193 + 0.0295262i) q^{86} -3.43145i q^{87} +(2.49582 + 1.44096i) q^{88} +(3.79135 - 3.79135i) q^{89} -4.15502 q^{90} +(-9.41319 + 1.54654i) q^{91} -6.15242 q^{92} +(3.20355 - 3.20355i) q^{93} +(-4.21578 - 2.43398i) q^{94} -6.87400i q^{95} +(-4.41802 + 1.18381i) q^{96} +(-11.5503 + 3.09490i) q^{97} +(5.77535 - 4.60144i) q^{98} +(-0.669085 - 0.669085i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 36 q + 6 q^{7} + 18 q^{9}+O(q^{10}) $ 36 * q + 6 * q^7 + 18 * q^9	$ 36 q + 6 q^{7} + 18 q^{9} - 8 q^{11} - 16 q^{12} + 42 q^{14} - 24 q^{16} - 8 q^{17} - 18 q^{19} + 14 q^{20} - 4 q^{21} + 4 q^{22} + 18 q^{24} + 24 q^{25} - 50 q^{26} + 34 q^{28} + 8 q^{29} + 6 q^{31} - 50 q^{32} + 8 q^{33} - 24 q^{34} + 14 q^{35} - 14 q^{37} - 8 q^{38} - 2 q^{39} - 30 q^{40} + 34 q^{41} - 18 q^{42} + 30 q^{43} + 28 q^{44} - 32 q^{46} - 10 q^{47} + 24 q^{48} + 6 q^{49} - 20 q^{50} - 24 q^{51} + 4 q^{52} - 8 q^{53} - 30 q^{55} - 92 q^{56} - 24 q^{57} + 72 q^{58} - 70 q^{59} + 14 q^{60} - 60 q^{61} - 48 q^{62} + 6 q^{63} - 44 q^{65} + 18 q^{66} - 46 q^{67} + 4 q^{69} + 80 q^{70} + 42 q^{71} + 18 q^{72} - 56 q^{73} + 40 q^{74} - 20 q^{75} + 12 q^{76} + 24 q^{77} - 16 q^{78} + 170 q^{80} - 18 q^{81} + 24 q^{82} - 60 q^{83} + 2 q^{85} + 12 q^{86} + 84 q^{88} + 64 q^{89} - 86 q^{91} - 100 q^{92} + 12 q^{93} - 66 q^{94} + 46 q^{96} + 36 q^{97} - 22 q^{98} - 4 q^{99}+O(q^{100}) $ 36 * q + 6 * q^7 + 18 * q^9 - 8 * q^11 - 16 * q^12 + 42 * q^14 - 24 * q^16 - 8 * q^17 - 18 * q^19 + 14 * q^20 - 4 * q^21 + 4 * q^22 + 18 * q^24 + 24 * q^25 - 50 * q^26 + 34 * q^28 + 8 * q^29 + 6 * q^31 - 50 * q^32 + 8 * q^33 - 24 * q^34 + 14 * q^35 - 14 * q^37 - 8 * q^38 - 2 * q^39 - 30 * q^40 + 34 * q^41 - 18 * q^42 + 30 * q^43 + 28 * q^44 - 32 * q^46 - 10 * q^47 + 24 * q^48 + 6 * q^49 - 20 * q^50 - 24 * q^51 + 4 * q^52 - 8 * q^53 - 30 * q^55 - 92 * q^56 - 24 * q^57 + 72 * q^58 - 70 * q^59 + 14 * q^60 - 60 * q^61 - 48 * q^62 + 6 * q^63 - 44 * q^65 + 18 * q^66 - 46 * q^67 + 4 * q^69 + 80 * q^70 + 42 * q^71 + 18 * q^72 - 56 * q^73 + 40 * q^74 - 20 * q^75 + 12 * q^76 + 24 * q^77 - 16 * q^78 + 170 * q^80 - 18 * q^81 + 24 * q^82 - 60 * q^83 + 2 * q^85 + 12 * q^86 + 84 * q^88 + 64 * q^89 - 86 * q^91 - 100 * q^92 + 12 * q^93 - 66 * q^94 + 46 * q^96 + 36 * q^97 - 22 * q^98 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{5}{6}\right)$

Coefficient data

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

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

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

$2$	−0.745928	+	0.745928i	−0.527450	+	0.527450i	−0.919811	−	0.392361i	$-0.871658\pi$
$2$	−0.745928	+	0.745928i	−0.527450	+	0.527450i	0.392361	+	0.919811i	$0.371658\pi$
$3$	−0.866025	−	0.500000i	−0.500000	−	0.288675i
$3$	−0.866025	−	0.500000i	−0.500000	−	0.288675i
$4$			0.887184i			0.443592i
$5$	3.80456	−	1.01943i	1.70145	−	0.455903i	0.728148	−	0.685420i	$-0.240381\pi$
$5$	3.80456	−	1.01943i	1.70145	−	0.455903i	0.973305	+	0.229517i	$0.0737146\pi$
$6$	1.01896	−	0.273028i	0.415987	−	0.111463i
$7$	0.148943	−	2.64156i	0.0562951	−	0.998414i
$7$	0.148943	−	2.64156i	0.0562951	−	0.998414i
$8$	−2.15363	−	2.15363i	−0.761423	−	0.761423i
$9$	0.500000	+	0.866025i	0.166667	+	0.288675i
$10$	−2.07751	+	3.59835i	−0.656966	+	1.13790i
$11$	−0.913987	+	0.244902i	−0.275578	+	0.0738408i	−0.393961	−	0.919127i	$-0.628895\pi$
$11$	−0.913987	+	0.244902i	−0.275578	+	0.0738408i	0.118383	+	0.992968i	$0.462229\pi$
$12$	0.443592	−	0.768324i	0.128054	−	0.221796i
$13$	−0.783899	−	3.51930i	−0.217414	−	0.976079i
$13$	−0.783899	−	3.51930i	−0.217414	−	0.976079i
$14$	1.85931	+	2.08151i	0.496921	+	0.556307i
$15$	−3.80456	−	1.01943i	−0.982334	−	0.263216i
$16$	1.43854			0.359634
$17$	7.96173			1.93100			0.965502	−	0.260395i	$-0.0838528\pi$
$17$	7.96173			1.93100			0.965502	+	0.260395i	$0.0838528\pi$
$18$	−1.01896	−	0.273028i	−0.240170	−	0.0643534i
$19$	0.451695	−	1.68575i	0.103626	−	0.386737i	−0.894560	−	0.446948i	$-0.852511\pi$
$19$	0.451695	−	1.68575i	0.103626	−	0.386737i	0.998186	+	0.0602114i	$0.0191775\pi$
$20$	0.904422	+	3.37535i	0.202235	+	0.754751i
$21$	−1.44977	+	2.21318i	−0.316365	+	0.482956i
$22$	0.499089	−	0.864448i	0.106406	−	0.184301i
$23$			6.93477i			1.44600i	0.690848	+	0.723000i	$0.257237\pi$
$23$			6.93477i			1.44600i	−0.690848	+	0.723000i	$0.742763\pi$
$24$	0.788283	+	2.94191i	0.160908	+	0.600516i
$25$	9.10535	−	5.25697i	1.82107	−	1.05139i
$26$	3.20988	+	2.04041i	0.629509	+	0.400158i
$27$		−	1.00000i		−	0.192450i
$28$	2.34355	+	0.132140i	0.442889	+	0.0249721i
$29$	1.71573	+	2.97173i	0.318603	+	0.551836i	0.980197	−	0.198026i	$-0.0634531\pi$
$29$	1.71573	+	2.97173i	0.318603	+	0.551836i	−0.661594	+	0.749862i	$0.730120\pi$
$30$	3.59835	−	2.07751i	0.656966	−	0.379299i
$31$	−1.17258	+	4.37613i	−0.210602	+	0.785976i	0.777067	+	0.629418i	$0.216707\pi$
$31$	−1.17258	+	4.37613i	−0.210602	+	0.785976i	−0.987669	+	0.156558i	$0.949960\pi$
$32$	3.23422	−	3.23422i	0.571734	−	0.571734i
$33$	0.913987	+	0.244902i	0.159105	+	0.0426320i
$34$	−5.93888	+	5.93888i	−1.01851	+	1.01851i
$35$	−2.12622	−	10.2018i	−0.359396	−	1.72442i
$36$	−0.768324	+	0.443592i	−0.128054	+	0.0739320i
$37$	−6.88481	−	6.88481i	−1.13186	−	1.13186i	−0.989868	−	0.141988i	$-0.954651\pi$
$37$	−6.88481	−	6.88481i	−1.13186	−	1.13186i	−0.141988	−	0.989868i	$-0.545349\pi$
$38$	0.920514	+	1.59438i	0.149327	+	0.258642i
$39$	−1.08078	+	3.43976i	−0.173063	+	0.550802i
$40$	−10.3891	−	5.99815i	−1.64266	−	0.948391i
$41$	−0.117207	+	0.437421i	−0.0183046	+	0.0683137i	−0.974474	−	0.224500i	$-0.927925\pi$
$41$	−0.117207	+	0.437421i	−0.0183046	+	0.0683137i	0.956169	+	0.292814i	$0.0945917\pi$
$42$	−0.569453	−	2.73229i	−0.0878686	−	0.421602i
$43$	0.0936549	+	0.0540717i	0.0142822	+	0.00824585i	0.507124	−	0.861873i	$-0.330709\pi$
$43$	0.0936549	+	0.0540717i	0.0142822	+	0.00824585i	−0.492842	+	0.870119i	$0.664042\pi$
$44$	−0.217273	−	0.810875i	−0.0327552	−	0.122244i
$45$	2.78513	+	2.78513i	0.415183	+	0.415183i
$46$	−5.17284	−	5.17284i	−0.762693	−	0.762693i
$47$	1.19435	+	4.45738i	0.174214	+	0.650175i	0.996684	+	0.0813671i	$0.0259286\pi$
$47$	1.19435	+	4.45738i	0.174214	+	0.650175i	−0.822470	+	0.568808i	$0.807405\pi$
$48$	−1.24581	−	0.719268i	−0.179817	−	0.103817i
$49$	−6.95563	−	0.786882i	−0.993662	−	0.112412i
$50$	−2.87061	+	10.7132i	−0.405965	+	1.51508i
$51$	−6.89506	−	3.98087i	−0.965502	−	0.557433i
$52$	3.12227	−	0.695463i	0.432981	−	0.0964433i
$53$	0.747827	+	1.29527i	0.102722	+	0.177920i	0.912805	−	0.408395i	$-0.133911\pi$
$53$	0.747827	+	1.29527i	0.102722	+	0.177920i	−0.810083	+	0.586315i	$0.800578\pi$
$54$	0.745928	+	0.745928i	0.101508	+	0.101508i
$55$	−3.22766	+	1.86349i	−0.435218	+	0.251273i
$56$	−6.00970	+	5.36817i	−0.803080	+	0.717351i
$57$	−1.23405	+	1.23405i	−0.163454	+	0.163454i
$58$	−3.49650	−	0.936885i	−0.459113	−	0.123019i
$59$	−3.42925	+	3.42925i	−0.446451	+	0.446451i	−0.894173	−	0.447722i	$-0.852235\pi$
$59$	−3.42925	+	3.42925i	−0.446451	+	0.446451i	0.447722	+	0.894173i	$0.352235\pi$
$60$	0.904422	−	3.37535i	0.116760	−	0.435756i
$61$	−5.73215	+	3.30946i	−0.733926	+	0.423733i	−0.819857	−	0.572568i	$-0.805947\pi$
$61$	−5.73215	+	3.30946i	−0.733926	+	0.423733i	0.0859304	+	0.996301i	$0.472614\pi$
$62$	−2.38961	−	4.13893i	−0.303481	−	0.525645i
$63$	2.36213	−	1.19179i	0.297600	−	0.150151i
$64$			7.70205i			0.962757i
$65$	−6.57008	−	12.5903i	−0.814918	−	1.56163i
$66$	−0.864448	+	0.499089i	−0.106406	+	0.0614336i
$67$	1.17090	+	4.36986i	0.143048	+	0.533863i	0.999835	+	0.0181915i	$0.00579086\pi$
$67$	1.17090	+	4.36986i	0.143048	+	0.533863i	−0.856786	+	0.515672i	$0.827542\pi$
$68$			7.06353i			0.856578i
$69$	3.46739	−	6.00569i	0.417424	−	0.723000i
$70$	9.19581	+	6.02380i	1.09911	+	0.719982i
$71$	−2.68009	−	10.0022i	−0.318068	−	1.18705i	−0.921099	−	0.389329i	$-0.872707\pi$
$71$	−2.68009	−	10.0022i	−0.318068	−	1.18705i	0.603030	−	0.797718i	$-0.293960\pi$
$72$	0.788283	−	2.94191i	0.0929001	−	0.346708i
$73$	3.95501	+	1.05974i	0.462899	+	0.124033i	0.482729	−	0.875770i	$-0.339646\pi$
$73$	3.95501	+	1.05974i	0.462899	+	0.124033i	−0.0198296	+	0.999803i	$0.506312\pi$
$74$	10.2711			1.19400
$75$	−10.5139			−1.21405
$76$	1.49557	+	0.400736i	0.171553	+	0.0459676i
$77$	0.510791	+	2.45082i	0.0582100	+	0.279297i
$78$	−1.75963	−	3.37199i	−0.199239	−	0.381803i
$79$	0.473848	−	0.820728i	0.0533120	−	0.0923391i	−0.838138	−	0.545459i	$-0.816356\pi$
$79$	0.473848	−	0.820728i	0.0533120	−	0.0923391i	0.891450	+	0.453119i	$0.149689\pi$
$80$	5.47300	−	1.46649i	0.611900	−	0.163958i
$81$	−0.500000	+	0.866025i	−0.0555556	+	0.0962250i
$82$	−0.238857	−	0.413712i	−0.0263773	−	0.0456869i
$83$	−8.26062	−	8.26062i	−0.906721	−	0.906721i	0.0892850	−	0.996006i	$-0.471542\pi$
$83$	−8.26062	−	8.26062i	−0.906721	−	0.906721i	−0.996006	+	0.0892850i	$0.971542\pi$
$84$	−1.96350	−	1.28621i	−0.214236	−	0.140337i
$85$	30.2909	−	8.11643i	3.28551	−	0.880351i
$86$	−0.110193	+	0.0295262i	−0.0118824	+	0.00318389i
$87$		−	3.43145i		−	0.367891i
$88$	2.49582	+	1.44096i	0.266055	+	0.153607i
$89$	3.79135	−	3.79135i	0.401882	−	0.401882i	−0.477014	−	0.878896i	$-0.658281\pi$
$89$	3.79135	−	3.79135i	0.401882	−	0.401882i	0.878896	+	0.477014i	$0.158281\pi$
$90$	−4.15502			−0.437977
$91$	−9.41319	+	1.54654i	−0.986771	+	0.162121i
$92$	−6.15242			−0.641434
$93$	3.20355	−	3.20355i	0.332192	−	0.332192i
$94$	−4.21578	−	2.43398i	−0.434824	−	0.251046i
$95$		−	6.87400i		−	0.705258i
$96$	−4.41802	+	1.18381i	−0.450913	+	0.120822i
$97$	−11.5503	+	3.09490i	−1.17276	+	0.314240i	−0.792050	−	0.610456i	$-0.790986\pi$
$97$	−11.5503	+	3.09490i	−1.17276	+	0.314240i	−0.380708	+	0.924695i	$0.624320\pi$
$98$	5.77535	−	4.60144i	0.583399	−	0.464816i
$99$	−0.669085	−	0.669085i	−0.0672456	−	0.0672456i
$100$	4.66390	+	8.07812i	0.466390	+	0.807812i
$101$	−9.35838	+	16.2092i	−0.931194	+	1.61287i	−0.149909	+	0.988700i	$0.547898\pi$
$101$	−9.35838	+	16.2092i	−0.931194	+	1.61287i	−0.781284	+	0.624175i	$0.785435\pi$
$102$	8.11266	−	2.17378i	0.803273	−	0.215236i
$103$	3.28825	−	5.69542i	0.324001	−	0.561186i	−0.657309	−	0.753621i	$-0.728305\pi$
$103$	3.28825	−	5.69542i	0.324001	−	0.561186i	0.981310	+	0.192435i	$0.0616386\pi$
$104$	−5.89105	+	9.26751i	−0.577665	+	0.908754i
$105$	−3.25954	+	9.89813i	−0.318099	+	0.965959i
$106$	−1.52400	−	0.408356i	−0.148024	−	0.0396630i
$107$	5.19352			0.502077			0.251038	−	0.967977i	$-0.419228\pi$
$107$	5.19352			0.502077			0.251038	+	0.967977i	$0.419228\pi$
$108$	0.887184			0.0853693
$109$	11.0247	+	2.95407i	1.05598	+	0.282949i	0.744720	−	0.667377i	$-0.232583\pi$
$109$	11.0247	+	2.95407i	1.05598	+	0.282949i	0.311259	+	0.950325i	$0.399249\pi$
$110$	1.01757	−	3.79763i	0.0970218	−	0.362090i
$111$	2.52002	+	9.40483i	0.239189	+	0.892667i
$112$	0.214260	−	3.79997i	0.0202456	−	0.359064i
$113$	−1.34429	+	2.32838i	−0.126460	+	0.219036i	−0.922303	−	0.386468i	$-0.873695\pi$
$113$	−1.34429	+	2.32838i	−0.126460	+	0.219036i	0.795842	+	0.605504i	$0.207028\pi$
$114$		−	1.84103i		−	0.172428i
$115$	7.06951	+	26.3838i	0.659236	+	2.46030i
$116$	−2.63647	+	1.52217i	−0.244790	+	0.141330i
$117$	2.65586	−	2.43853i	0.245534	−	0.225442i
$118$		−	5.11595i		−	0.470961i
$119$	1.18584	−	21.0314i	0.108706	−	1.92794i
$120$	5.99815	+	10.3891i	0.547554	+	0.948391i
$121$	−8.75088	+	5.05232i	−0.795535	+	0.459302i
$122$	1.80715	−	6.74438i	0.163612	−	0.610608i
$123$	0.320215	−	0.320215i	0.0288728	−	0.0288728i
$124$	−3.88243	−	1.04029i	−0.348653	−	0.0934212i
$125$	15.3571	−	15.3571i	1.37358	−	1.37358i
$126$	−0.872986	+	2.65096i	−0.0777718	+	0.236167i
$127$	−7.89995	+	4.56104i	−0.701007	+	0.404727i	−0.807722	−	0.589563i	$-0.799300\pi$
$127$	−7.89995	+	4.56104i	−0.701007	+	0.404727i	0.106715	+	0.994290i	$0.465967\pi$
$128$	0.723260	+	0.723260i	0.0639277	+	0.0639277i
$129$	−0.0540717	−	0.0936549i	−0.00476074	−	0.00824585i
$130$	14.2922	+	4.49064i	1.25351	+	0.393855i
$131$	−6.79059	−	3.92055i	−0.593297	−	0.342540i	0.173103	−	0.984904i	$-0.444621\pi$
$131$	−6.79059	−	3.92055i	−0.593297	−	0.342540i	−0.766400	+	0.642364i	$0.777954\pi$
$132$	−0.217273	+	0.810875i	−0.0189112	+	0.0705776i
$133$	−4.38572	−	1.44426i	−0.380290	−	0.125233i
$134$	−4.13300	−	2.38619i	−0.357037	−	0.206135i
$135$	−1.01943	−	3.80456i	−0.0877386	−	0.327445i
$136$	−17.1466	−	17.1466i	−1.47031	−	1.47031i
$137$	5.38162	+	5.38162i	0.459783	+	0.459783i	0.898584	−	0.438801i	$-0.144597\pi$
$137$	5.38162	+	5.38162i	0.459783	+	0.459783i	−0.438801	+	0.898584i	$0.644597\pi$
$138$	1.89339	+	7.06623i	0.161176	+	0.601517i
$139$	3.86004	+	2.22859i	0.327404	+	0.189027i	0.654688	−	0.755899i	$-0.272800\pi$
$139$	3.86004	+	2.22859i	0.327404	+	0.189027i	−0.327284	+	0.944926i	$0.606133\pi$
$140$	9.05088	−	1.88635i	0.764939	−	0.159425i
$141$	1.19435	−	4.45738i	0.100582	−	0.375379i
$142$	9.46010	+	5.46179i	0.793874	+	0.458343i
$143$	1.57836	+	3.02462i	0.131989	+	0.252932i
$144$	0.719268	+	1.24581i	0.0599390	+	0.103817i
$145$	9.55706	+	9.55706i	0.793671	+	0.793671i
$146$	−3.74064	+	2.15966i	−0.309578	+	0.178735i
$147$	5.63031	+	4.15928i	0.464380	+	0.343051i
$148$	6.10810	−	6.10810i	0.502082	−	0.502082i
$149$	−0.726851	−	0.194759i	−0.0595459	−	0.0159553i	0.228923	−	0.973445i	$-0.426480\pi$
$149$	−0.726851	−	0.194759i	−0.0595459	−	0.0159553i	−0.288469	+	0.957489i	$0.593146\pi$
$150$	7.84264	−	7.84264i	0.640349	−	0.640349i
$151$	−0.0169291	+	0.0631804i	−0.00137767	+	0.00514154i	−0.966611	−	0.256247i	$-0.917514\pi$
$151$	−0.0169291	+	0.0631804i	−0.00137767	+	0.00514154i	0.965234	+	0.261389i	$0.0841805\pi$
$152$	−4.60326	+	2.65769i	−0.373374	+	0.215567i
$153$	3.98087	+	6.89506i	0.321834	+	0.557433i
$154$	−2.20915	−	1.44712i	−0.178018	−	0.116613i
$155$			17.8446i			1.43331i
$156$	−3.05170	−	0.958847i	−0.244331	−	0.0767692i
$157$	6.41355	−	3.70286i	0.511857	−	0.295521i	−0.221740	−	0.975106i	$-0.571174\pi$
$157$	6.41355	−	3.70286i	0.511857	−	0.295521i	0.733597	+	0.679585i	$0.237840\pi$
$158$	0.258748	+	0.965660i	0.0205849	+	0.0768238i
$159$		−	1.49565i		−	0.118613i
$160$	9.00773	−	15.6018i	0.712124	−	1.23343i
$161$	18.3186	+	1.03289i	1.44371	+	0.0814028i
$162$	−0.273028	−	1.01896i	−0.0214511	−	0.0800567i
$163$	−1.19910	+	4.47509i	−0.0939206	+	0.350516i	−0.996854	−	0.0792649i	$-0.974743\pi$
$163$	−1.19910	+	4.47509i	−0.0939206	+	0.350516i	0.902933	+	0.429781i	$0.141409\pi$
$164$	−0.388073	−	0.103984i	−0.0303034	−	0.00811978i
$165$	3.72698			0.290145
$166$	12.3237			0.956501
$167$	12.2105	+	3.27179i	0.944874	+	0.253178i	0.698186	−	0.715916i	$-0.253991\pi$
$167$	12.2105	+	3.27179i	0.944874	+	0.253178i	0.246688	+	0.969095i	$0.420658\pi$
$168$	7.88864	−	1.64412i	0.608622	−	0.126846i
$169$	−11.7710	+	5.51756i	−0.905462	+	0.424427i
$170$	−16.5406	+	28.6491i	−1.26860	+	2.19729i
$171$	1.68575	−	0.451695i	0.128912	−	0.0345419i
$172$	−0.0479715	+	0.0830891i	−0.00365779	+	0.00633549i
$173$	9.15937	+	15.8645i	0.696374	+	1.20616i	0.969715	+	0.244238i	$0.0785379\pi$
$173$	9.15937	+	15.8645i	0.696374	+	1.20616i	−0.273341	+	0.961917i	$0.588129\pi$
$174$	2.55962	+	2.55962i	0.194044	+	0.194044i
$175$	−12.5304	−	24.8353i	−0.947210	−	1.87737i
$176$	−1.31480	+	0.352301i	−0.0991070	+	0.0265557i
$177$	4.68445	−	1.25519i	0.352105	−	0.0943462i
$178$			5.65615i			0.423946i
$179$	−15.5371	−	8.97032i	−1.16129	−	0.670473i	−0.209680	−	0.977770i	$-0.567242\pi$
$179$	−15.5371	−	8.97032i	−1.16129	−	0.670473i	−0.951614	+	0.307297i	$0.900576\pi$
$180$	−2.47093	+	2.47093i	−0.184172	+	0.184172i
$181$	−11.3348			−0.842512			−0.421256	−	0.906942i	$-0.638411\pi$
$181$	−11.3348			−0.842512			−0.421256	+	0.906942i	$0.638411\pi$
$182$	5.86796	−	8.17516i	0.434962	−	0.605984i
$183$	6.61892			0.489284
$184$	14.9349	−	14.9349i	1.10102	−	1.10102i
$185$	−33.2123	−	19.1751i	−2.44182	−	1.40978i
$186$			4.77923i			0.350430i
$187$	−7.27693	+	1.94985i	−0.532141	+	0.142587i
$188$	−3.95451	+	1.05961i	−0.288413	+	0.0772799i
$189$	−2.64156	−	0.148943i	−0.192145	−	0.0108340i
$190$	5.12751	+	5.12751i	0.371989	+	0.371989i
$191$	7.33438	+	12.7035i	0.530697	+	0.919194i	0.999358	+	0.0358162i	$0.0114031\pi$
$191$	7.33438	+	12.7035i	0.530697	+	0.919194i	−0.468661	+	0.883378i	$0.655264\pi$
$192$	3.85103	−	6.67017i	0.277924	−	0.481378i
$193$	−11.3200	+	3.03319i	−0.814834	+	0.218334i	−0.642087	−	0.766632i	$-0.721931\pi$
$193$	−11.3200	+	3.03319i	−0.814834	+	0.218334i	−0.172747	+	0.984966i	$0.555264\pi$
$194$	6.30714	−	10.9243i	0.452826	−	0.784318i
$195$	−0.605291	+	14.1885i	−0.0433458	+	1.01606i
$196$	0.698110	−	6.17093i	0.0498650	−	0.440781i
$197$	−10.2849	−	2.75584i	−0.732772	−	0.196346i	−0.126909	−	0.991914i	$-0.540505\pi$
$197$	−10.2849	−	2.75584i	−0.732772	−	0.196346i	−0.605863	+	0.795569i	$0.707172\pi$
$198$	0.998178			0.0709374
$199$	21.2553			1.50674			0.753372	−	0.657594i	$-0.228426\pi$
$199$	21.2553			1.50674			0.753372	+	0.657594i	$0.228426\pi$
$200$	−30.9311	−	8.28797i	−2.18716	−	0.586048i
$201$	1.17090	−	4.36986i	0.0825889	−	0.308226i
$202$	−5.11021	−	19.0716i	−0.359553	−	1.34187i
$203$	8.10553	−	4.08957i	0.568897	−	0.287032i
$204$	3.53176	−	6.11719i	0.247273	−	0.428289i
$205$			1.78368i			0.124578i
$206$	1.79557	+	6.70117i	0.125103	+	0.466892i
$207$	−6.00569	+	3.46739i	−0.417424	+	0.241000i
$208$	−1.12767	−	5.06264i	−0.0781896	−	0.351031i
$209$			1.65137i			0.114228i
$210$	−4.95191	−	9.81467i	−0.341714	−	0.677277i
$211$	−11.7558	−	20.3617i	−0.809305	−	1.40176i	−0.913346	−	0.407184i	$-0.866511\pi$
$211$	−11.7558	−	20.3617i	−0.809305	−	1.40176i	0.104041	−	0.994573i	$-0.466823\pi$
$212$	−1.14915	+	0.663460i	−0.0789237	+	0.0455666i
$213$	−2.68009	+	10.0022i	−0.183637	+	0.685342i
$214$	−3.87399	+	3.87399i	−0.264820	+	0.264820i
$215$	0.411438	+	0.110245i	0.0280599	+	0.00751862i
$216$	−2.15363	+	2.15363i	−0.146536	+	0.146536i
$217$	11.3851	+	3.74923i	0.772874	+	0.254514i
$218$	−10.4272	+	6.02014i	−0.706218	+	0.407735i
$219$	−2.89527	−	2.89527i	−0.195644	−	0.195644i
$220$	−1.65326	−	2.86353i	−0.111463	−	0.193059i
$221$	−6.24119	−	28.0198i	−0.419828	−	1.88481i
$222$	−8.89507	−	5.13557i	−0.596998	−	0.344677i
$223$	−1.56806	+	5.85209i	−0.105005	+	0.391885i	−0.998346	−	0.0574955i	$-0.981689\pi$
$223$	−1.56806	+	5.85209i	−0.105005	+	0.391885i	0.893341	+	0.449380i	$0.148355\pi$
$224$	−8.06165	−	9.02508i	−0.538642	−	0.603013i
$225$	9.10535	+	5.25697i	0.607023	+	0.350465i
$226$	−0.734061	−	2.73955i	−0.0488290	−	0.182232i
$227$	14.7585	+	14.7585i	0.979553	+	0.979553i	0.999795	−	0.0202417i	$-0.00644356\pi$
$227$	14.7585	+	14.7585i	0.979553	+	0.979553i	−0.0202417	+	0.999795i	$0.506444\pi$
$228$	−1.09483	−	1.09483i	−0.0725070	−	0.0725070i
$229$	5.67737	+	21.1882i	0.375171	+	1.40016i	0.853094	+	0.521756i	$0.174723\pi$
$229$	5.67737	+	21.1882i	0.375171	+	1.40016i	−0.477923	+	0.878402i	$0.658610\pi$
$230$	−24.9537	−	14.4070i	−1.64540	−	0.949973i
$231$	0.783055	−	2.37787i	0.0515212	−	0.156452i
$232$	2.70496	−	10.0950i	0.177589	−	0.662772i
$233$	9.92317	+	5.72914i	0.650088	+	0.375329i	0.788490	−	0.615048i	$-0.210863\pi$
$233$	9.92317	+	5.72914i	0.650088	+	0.375329i	−0.138402	+	0.990376i	$0.544197\pi$
$234$	−0.162112	+	3.80004i	−0.0105976	+	0.248417i
$235$	9.08797	+	15.7408i	0.592833	+	1.02682i
$236$	−3.04238	−	3.04238i	−0.198042	−	0.198042i
$237$	−0.820728	+	0.473848i	−0.0533120	+	0.0307797i
$238$	14.8033	+	16.5724i	0.959557	+	1.07423i
$239$	4.89413	−	4.89413i	0.316575	−	0.316575i	−0.530875	−	0.847450i	$-0.678137\pi$
$239$	4.89413	−	4.89413i	0.316575	−	0.316575i	0.847450	+	0.530875i	$0.178137\pi$
$240$	−5.47300	−	1.46649i	−0.353281	−	0.0946613i
$241$	−5.87042	+	5.87042i	−0.378147	+	0.378147i	−0.870433	−	0.492286i	$-0.836161\pi$
$241$	−5.87042	+	5.87042i	−0.378147	+	0.378147i	0.492286	+	0.870433i	$0.336161\pi$
$242$	2.75886	−	10.2962i	0.177346	−	0.661864i
$243$	0.866025	−	0.500000i	0.0555556	−	0.0320750i
$244$	−2.93610	−	5.08547i	−0.187964	−	0.325564i
$245$	−27.2653	+	4.09704i	−1.74192	+	0.261750i
$246$			0.477714i			0.0304579i
$247$	−6.28674	−	0.268196i	−0.400016	−	0.0170649i
$248$	11.9499	−	6.89926i	0.758817	−	0.438103i
$249$	3.02360	+	11.2842i	0.191613	+	0.715108i
$250$			22.9105i			1.44899i
$251$	−7.81291	+	13.5324i	−0.493146	+	0.854155i	−0.999969	−	0.00789592i	$-0.997487\pi$
$251$	−7.81291	+	13.5324i	−0.493146	+	0.854155i	0.506822	+	0.862050i	$0.330820\pi$
$252$	1.05734	+	2.09564i	0.0666060	+	0.132013i
$253$	−1.69834	−	6.33829i	−0.106774	−	0.398485i
$254$	2.49059	−	9.29499i	0.156273	−	0.583220i
$255$	−30.2909	−	8.11643i	−1.89689	−	0.508271i
$256$	−16.4831			−1.03019
$257$	0.563873			0.0351734			0.0175867	−	0.999845i	$-0.494402\pi$
$257$	0.563873			0.0351734			0.0175867	+	0.999845i	$0.494402\pi$
$258$	0.110193	+	0.0295262i	0.00686033	+	0.00183822i
$259$	−19.2121	+	17.1612i	−1.19378	+	1.06634i
$260$	11.1699	−	5.82887i	0.692728	−	0.361491i
$261$	−1.71573	+	2.97173i	−0.106201	+	0.183945i
$262$	7.98974	−	2.14084i	0.493608	−	0.132262i
$263$	−0.904321	+	1.56633i	−0.0557628	+	0.0965840i	−0.892559	−	0.450930i	$-0.851092\pi$
$263$	−0.904321	+	1.56633i	−0.0557628	+	0.0965840i	0.836796	+	0.547514i	$0.184426\pi$
$264$	−1.44096	−	2.49582i	−0.0886851	−	0.153607i
$265$	4.16560	+	4.16560i	0.255891	+	0.255891i
$266$	4.34874	−	2.19412i	0.266638	−	0.134530i
$267$	−5.17908	+	1.38773i	−0.316955	+	0.0849277i
$268$	−3.87687	+	1.03880i	−0.236817	+	0.0634550i
$269$		−	4.60590i		−	0.280827i	−0.990093	−	0.140413i	$-0.955157\pi$
$269$		−	4.60590i		−	0.280827i	0.990093	−	0.140413i	$-0.0448431\pi$
$270$	3.59835	+	2.07751i	0.218989	+	0.126433i
$271$	2.86878	−	2.86878i	0.174266	−	0.174266i	−0.614585	−	0.788851i	$-0.710676\pi$
$271$	2.86878	−	2.86878i	0.174266	−	0.174266i	0.788851	+	0.614585i	$0.210676\pi$
$272$	11.4532			0.694455
$273$	8.92533	+	3.36726i	0.540186	+	0.203796i
$274$	−8.02860			−0.485026
$275$	−7.03473	+	7.03473i	−0.424210	+	0.424210i
$276$	5.32815	+	3.07621i	0.320717	+	0.185166i
$277$		−	12.2090i		−	0.733571i	−0.930306	−	0.366785i	$-0.880458\pi$
$277$		−	12.2090i		−	0.733571i	0.930306	−	0.366785i	$-0.119542\pi$
$278$	−4.54168	+	1.21694i	−0.272392	+	0.0729871i
$279$	−4.37613	+	1.17258i	−0.261992	+	0.0702005i
$280$	−17.3918	+	26.5500i	−1.03936	+	1.58667i
$281$	0.757979	+	0.757979i	0.0452172	+	0.0452172i	0.729354	−	0.684137i	$-0.239821\pi$
$281$	0.757979	+	0.757979i	0.0452172	+	0.0452172i	−0.684137	+	0.729354i	$0.739821\pi$
$282$	2.43398	+	4.21578i	0.144941	+	0.251046i
$283$	10.3386	−	17.9070i	0.614568	−	1.06446i	−0.375893	−	0.926663i	$-0.622664\pi$
$283$	10.3386	−	17.9070i	0.614568	−	1.06446i	0.990460	−	0.137799i	$-0.0440028\pi$
$284$	8.87383	−	2.37774i	0.526565	−	0.141093i
$285$	−3.43700	+	5.95306i	−0.203590	+	0.352629i
$286$	−3.43349	−	1.07881i	−0.203026	−	0.0637912i
$287$	1.13802	+	0.374759i	0.0671749	+	0.0221213i
$288$	4.41802	+	1.18381i	0.260334	+	0.0697564i
$289$	46.3892			2.72878
$290$	−14.2578			−0.837244
$291$	11.5503	+	3.09490i	0.677092	+	0.181426i
$292$	−0.940186	+	3.50882i	−0.0550203	+	0.205338i
$293$	−0.652210	−	2.43408i	−0.0381025	−	0.142201i	0.944254	−	0.329217i	$-0.106785\pi$
$293$	−0.652210	−	2.43408i	−0.0381025	−	0.142201i	−0.982357	+	0.187017i	$0.940118\pi$
$294$	−7.30232	+	1.09729i	−0.425880	+	0.0639951i
$295$	−9.55094	+	16.5427i	−0.556077	+	0.963154i
$296$			29.6547i			1.72364i
$297$	0.244902	+	0.913987i	0.0142107	+	0.0530349i
$298$	0.687454	−	0.396902i	0.0398232	−	0.0229919i
$299$	24.4056	−	5.43616i	1.41141	−	0.314381i
$300$		−	9.32781i		−	0.538541i
$301$	0.156783	−	0.239341i	0.00903679	−	0.0137954i
$302$	−0.0345001	−	0.0597559i	−0.00198526	−	0.00343856i
$303$	16.2092	−	9.35838i	0.931194	−	0.537625i
$304$	0.649779	−	2.42501i	0.0372674	−	0.139084i
$305$	−18.4346	+	18.4346i	−1.05556	+	1.05556i
$306$	−8.11266	−	2.17378i	−0.463770	−	0.124267i
$307$	14.0560	−	14.0560i	0.802217	−	0.802217i	−0.181225	−	0.983442i	$-0.558006\pi$
$307$	14.0560	−	14.0560i	0.802217	−	0.802217i	0.983442	+	0.181225i	$0.0580061\pi$
$308$	−2.17433	+	0.453165i	−0.123894	+	0.0258215i
$309$	−5.69542	+	3.28825i	−0.324001	+	0.187062i
$310$	−13.3108	−	13.3108i	−0.756003	−	0.756003i
$311$	5.07374	+	8.78798i	0.287706	+	0.498321i	0.973262	−	0.229699i	$-0.0737742\pi$
$311$	5.07374	+	8.78798i	0.287706	+	0.498321i	−0.685556	+	0.728020i	$0.740441\pi$
$312$	9.73555	−	5.08037i	0.551167	−	0.287619i
$313$	−23.2110	−	13.4009i	−1.31196	−	0.757461i	−0.329540	−	0.944141i	$-0.606894\pi$
$313$	−23.2110	−	13.4009i	−1.31196	−	0.757461i	−0.982421	+	0.186680i	$0.940227\pi$
$314$	−2.02197	+	7.54611i	−0.114107	+	0.425852i
$315$	7.77191	−	6.94226i	0.437898	−	0.391152i
$316$	0.728137	+	0.420390i	0.0409609	+	0.0236488i
$317$	−3.31452	−	12.3700i	−0.186162	−	0.694767i	−0.994379	−	0.105881i	$-0.966234\pi$
$317$	−3.31452	−	12.3700i	−0.186162	−	0.694767i	0.808217	−	0.588885i	$-0.200433\pi$
$318$	1.11565	+	1.11565i	0.0625625	+	0.0625625i
$319$	−2.29594	−	2.29594i	−0.128548	−	0.128548i
$320$	7.85171	+	29.3030i	0.438924	+	1.63809i
$321$	−4.49772	−	2.59676i	−0.251038	−	0.144937i
$322$	−14.4348	+	12.8939i	−0.804420	+	0.718548i
$323$	3.59627	−	13.4215i	0.200102	−	0.746791i
$324$	−0.768324	−	0.443592i	−0.0426847	−	0.0246440i
$325$	−25.6386	−	27.9235i	−1.42217	−	1.54892i
$326$	−2.44366	−	4.23254i	−0.135342	−	0.234419i
$327$	−8.07067	−	8.07067i	−0.446309	−	0.446309i
$328$	1.19446	−	0.689624i	0.0659532	−	0.0380781i
$329$	11.9523	−	2.49105i	0.658951	−	0.137336i
$330$	−2.78006	+	2.78006i	−0.153037	+	0.153037i
$331$	0.730127	+	0.195637i	0.0401314	+	0.0107532i	0.278829	−	0.960341i	$-0.410054\pi$
$331$	0.730127	+	0.195637i	0.0401314	+	0.0107532i	−0.238697	+	0.971094i	$0.576720\pi$
$332$	7.32869	−	7.32869i	0.402214	−	0.402214i
$333$	2.52002	−	9.40483i	0.138096	−	0.515381i
$334$	−11.5486	+	6.66761i	−0.631913	+	0.364835i
$335$	8.90953	+	15.4318i	0.486779	+	0.843127i
$336$	−2.08554	+	3.18374i	−0.113776	+	0.173687i
$337$		−	12.9685i		−	0.706440i	−0.935540	−	0.353220i	$-0.885087\pi$
$337$		−	12.9685i		−	0.706440i	0.935540	−	0.353220i	$-0.114913\pi$
$338$	4.66462	−	12.8960i	0.253722	−	0.701451i
$339$	2.32838	−	1.34429i	0.126460	−	0.0730120i
$340$	7.20077	+	26.8736i	0.390517	+	1.45743i
$341$		−	4.28689i		−	0.232148i
$342$	−0.920514	+	1.59438i	−0.0497757	+	0.0862140i
$343$	−3.11459	+	18.2565i	−0.168172	+	0.985758i
$344$	−0.0852476	−	0.318148i	−0.00459624	−	0.0171534i
$345$	7.06951	−	26.3838i	0.380610	−	1.42046i
$346$	−18.6660	−	5.00154i	−1.00349	−	0.268884i
$347$	−14.3863			−0.772298			−0.386149	−	0.922436i	$-0.626195\pi$
$347$	−14.3863			−0.772298			−0.386149	+	0.922436i	$0.626195\pi$
$348$	3.04433			0.163193
$349$	32.9693	+	8.83410i	1.76481	+	0.472879i	0.987683	−	0.156468i	$-0.0500108\pi$
$349$	32.9693	+	8.83410i	1.76481	+	0.472879i	0.777125	+	0.629347i	$0.216677\pi$
$350$	27.8721	+	9.17853i	1.48983	+	0.490613i
$351$	−3.51930	+	0.783899i	−0.187847	+	0.0418414i
$352$	−2.16397	+	3.74810i	−0.115340	+	0.199774i
$353$	−5.35753	+	1.43555i	−0.285152	+	0.0764064i	−0.398560	−	0.917142i	$-0.630490\pi$
$353$	−5.35753	+	1.43555i	−0.285152	+	0.0764064i	0.113408	+	0.993549i	$0.463823\pi$
$354$	−2.55798	+	4.43054i	−0.135955	+	0.235481i
$355$	−20.3932	−	35.3220i	−1.08236	−	1.87470i
$356$	3.36363	+	3.36363i	0.178272	+	0.178272i
$357$	−11.5427	+	17.6208i	−0.610902	+	0.932590i
$358$	18.2807	−	4.89831i	0.966166	−	0.258883i
$359$	−6.42126	+	1.72057i	−0.338901	+	0.0908083i	−0.424256	−	0.905542i	$-0.639464\pi$
$359$	−6.42126	+	1.72057i	−0.338901	+	0.0908083i	0.0853548	+	0.996351i	$0.472798\pi$
$360$		−	11.9963i		−	0.632260i
$361$	13.8168	+	7.97711i	0.727198	+	0.419848i
$362$	8.45497	−	8.45497i	0.444383	−	0.444383i
$363$	10.1046			0.530357
$364$	−1.37206	−	8.35124i	−0.0719156	−	0.437724i
$365$	16.1274			0.844148
$366$	−4.93723	+	4.93723i	−0.258073	+	0.258073i
$367$	−6.19248	−	3.57523i	−0.323245	−	0.186626i	0.329593	−	0.944123i	$-0.393088\pi$
$367$	−6.19248	−	3.57523i	−0.323245	−	0.186626i	−0.652838	+	0.757498i	$0.726422\pi$
$368$			9.97592i			0.520031i
$369$	−0.437421	+	0.117207i	−0.0227712	+	0.00610153i
$370$	39.0772	−	10.4707i	2.03153	−	0.544346i
$371$	3.53292	−	1.78250i	0.183420	−	0.0925430i
$372$	2.84214	+	2.84214i	0.147358	+	0.147358i
$373$	−7.66980	−	13.2845i	−0.397127	−	0.687844i	0.596243	−	0.802804i	$-0.296659\pi$
$373$	−7.66980	−	13.2845i	−0.397127	−	0.687844i	−0.993370	+	0.114960i	$0.963326\pi$
$374$	3.97361	−	6.88250i	0.205471	−	0.355886i
$375$	−20.9782	+	5.62108i	−1.08331	+	0.290272i
$376$	7.02735	−	12.1717i	0.362408	−	0.627709i
$377$	9.11346	−	8.36770i	0.469367	−	0.430958i
$378$	2.08151	−	1.85931i	0.107061	−	0.0956325i
$379$	−22.8646	−	6.12656i	−1.17448	−	0.314700i	−0.381743	−	0.924268i	$-0.624676\pi$
$379$	−22.8646	−	6.12656i	−1.17448	−	0.314700i	−0.792734	+	0.609568i	$0.791343\pi$
$380$	6.09851			0.312847
$381$	9.12207			0.467338
$382$	−14.9468	−	4.00499i	−0.764746	−	0.204913i
$383$	0.160303	−	0.598259i	0.00819110	−	0.0305696i	−0.961709	−	0.274071i	$-0.911630\pi$
$383$	0.160303	−	0.598259i	0.00819110	−	0.0305696i	0.969900	+	0.243502i	$0.0782962\pi$
$384$	−0.264731	−	0.987991i	−0.0135095	−	0.0504182i
$385$	4.44178	+	8.80361i	0.226374	+	0.448673i
$386$	6.18138	−	10.7065i	0.314624	−	0.544945i
$387$			0.108143i			0.00549723i
$388$	−2.74575	−	10.2473i	−0.139394	−	0.520226i
$389$	−8.18610	+	4.72624i	−0.415052	+	0.239630i	−0.692958	−	0.720978i	$-0.743693\pi$
$389$	−8.18610	+	4.72624i	−0.415052	+	0.239630i	0.277906	+	0.960608i	$0.410360\pi$
$390$	−10.1321	−	11.0351i	−0.513060	−	0.558786i
$391$			55.2128i			2.79223i
$392$	13.2852	+	16.6745i	0.671004	+	0.842190i
$393$	3.92055	+	6.79059i	0.197766	+	0.342540i
$394$	9.72748	−	5.61616i	0.490063	−	0.282938i
$395$	0.966109	−	3.60557i	0.0486102	−	0.181416i
$396$	0.593602	−	0.593602i	0.0298296	−	0.0298296i
$397$	8.63653	+	2.31415i	0.433455	+	0.116144i	0.468948	−	0.883226i	$-0.344633\pi$
$397$	8.63653	+	2.31415i	0.433455	+	0.116144i	−0.0354925	+	0.999370i	$0.511300\pi$
$398$	−15.8549	+	15.8549i	−0.794733	+	0.794733i
$399$	3.07601	+	3.44362i	0.153993	+	0.172397i
$400$	13.0984	−	7.56234i	0.654918	−	0.378117i
$401$	−4.68942	−	4.68942i	−0.234178	−	0.234178i	0.580256	−	0.814434i	$-0.302953\pi$
$401$	−4.68942	−	4.68942i	−0.234178	−	0.234178i	−0.814434	+	0.580256i	$0.802953\pi$
$402$	2.38619	+	4.13300i	0.119012	+	0.206135i
$403$	16.3201	+	0.696225i	0.812963	+	0.0346814i
$404$	−14.3805	−	8.30261i	−0.715459	−	0.413070i
$405$	−1.01943	+	3.80456i	−0.0506559	+	0.189050i
$406$	−2.99561	+	9.09666i	−0.148670	+	0.451460i
$407$	7.97874	+	4.60653i	0.395491	+	0.228337i
$408$	6.27610	+	23.4227i	0.310713	+	1.15960i
$409$	11.5748	+	11.5748i	0.572336	+	0.572336i	0.932781	−	0.360444i	$-0.117375\pi$
$409$	11.5748	+	11.5748i	0.572336	+	0.572336i	−0.360444	+	0.932781i	$0.617375\pi$
$410$	−1.33050	−	1.33050i	−0.0657086	−	0.0657086i
$411$	−1.96981	−	7.35143i	−0.0971636	−	0.362619i
$412$	5.05288	+	2.91728i	0.248938	+	0.143724i
$413$	8.54780	+	9.56933i	0.420610	+	0.470876i
$414$	1.89339	−	7.06623i	0.0930550	−	0.347286i
$415$	−39.8492	−	23.0069i	−1.95612	−	1.12937i
$416$	−13.9175	−	8.84690i	−0.682361	−	0.433755i
$417$	−2.22859	−	3.86004i	−0.109135	−	0.189027i
$418$	−1.23180	−	1.23180i	−0.0602495	−	0.0602495i
$419$	19.8994	−	11.4889i	0.972150	−	0.561271i	0.0722588	−	0.997386i	$-0.476979\pi$
$419$	19.8994	−	11.4889i	0.972150	−	0.561271i	0.899891	+	0.436115i	$0.143646\pi$
$420$	−8.78147	−	2.89182i	−0.428492	−	0.141106i
$421$	−3.33707	+	3.33707i	−0.162639	+	0.162639i	−0.783735	−	0.621096i	$-0.786688\pi$
$421$	−3.33707	+	3.33707i	−0.162639	+	0.162639i	0.621096	+	0.783735i	$0.286688\pi$
$422$	23.9574	+	6.41935i	1.16623	+	0.312489i
$423$	−3.26303	+	3.26303i	−0.158654	+	0.158654i
$424$	1.17900	−	4.40008i	0.0572572	−	0.213687i
$425$	72.4944	−	41.8546i	3.51649	−	2.03025i
$426$	−5.46179	−	9.46010i	−0.264625	−	0.458343i
$427$	7.88835	+	15.6347i	0.381744	+	0.756617i
$428$			4.60761i			0.222717i
$429$	0.145412	−	3.40858i	0.00702055	−	0.164568i
$430$	−0.389138	+	0.224669i	−0.0187659	+	0.0108345i
$431$	7.29082	+	27.2097i	0.351186	+	1.31065i	0.885216	+	0.465180i	$0.154010\pi$
$431$	7.29082	+	27.2097i	0.351186	+	1.31065i	−0.534030	+	0.845466i	$0.679323\pi$
$432$		−	1.43854i		−	0.0692116i
$433$	−9.88975	+	17.1295i	−0.475271	+	0.823193i	−0.999599	−	0.0283231i	$-0.990983\pi$
$433$	−9.88975	+	17.1295i	−0.475271	+	0.823193i	0.524328	+	0.851516i	$0.324317\pi$
$434$	−11.2891	+	5.69584i	−0.541896	+	0.273409i
$435$	−3.49813	−	13.0552i	−0.167722	−	0.625948i
$436$	−2.62081	+	9.78098i	−0.125514	+	0.468424i
$437$	11.6903	+	3.13240i	0.559221	+	0.149843i
$438$	4.31932			0.206385
$439$	21.9076			1.04559			0.522797	−	0.852457i	$-0.324889\pi$
$439$	21.9076			1.04559			0.522797	+	0.852457i	$0.324889\pi$
$440$	10.9645	+	2.93792i	0.522710	+	0.140060i
$441$	−2.79636	−	6.41720i	−0.133160	−	0.305581i
$442$	25.5562	+	16.2452i	1.21558	+	0.772707i
$443$	9.87688	−	17.1073i	0.469265	−	0.812791i	−0.530118	−	0.847924i	$-0.677852\pi$
$443$	9.87688	−	17.1073i	0.469265	−	0.812791i	0.999383	+	0.0351334i	$0.0111856\pi$
$444$	−8.34381	+	2.23572i	−0.395980	+	0.106102i
$445$	10.5594	−	18.2895i	0.500565	−	0.867003i
$446$	−3.19557	−	5.53489i	−0.151315	−	0.262085i
$447$	0.532092	+	0.532092i	0.0251671	+	0.0251671i
$448$	20.3454	+	1.14717i	0.961230	+	0.0541985i
$449$	−31.7673	+	8.51202i	−1.49919	+	0.401707i	−0.912829	−	0.408342i	$-0.866107\pi$
$449$	−31.7673	+	8.51202i	−1.49919	+	0.401707i	−0.586362	+	0.810049i	$0.699440\pi$
$450$	−10.7132	+	2.87061i	−0.505027	+	0.135322i
$451$		−	0.428502i		−	0.0201774i
$452$	−2.06571	−	1.19264i	−0.0971626	−	0.0560969i
$453$	0.0462512	−	0.0462512i	0.00217307	−	0.00217307i
$454$	−22.0175			−1.03333
$455$	−34.2365	+	15.4800i	−1.60503	+	0.725713i
$456$	5.31538			0.248916
$457$	11.0934	−	11.0934i	0.518926	−	0.518926i	−0.398320	−	0.917246i	$-0.630407\pi$
$457$	11.0934	−	11.0934i	0.518926	−	0.518926i	0.917246	+	0.398320i	$0.130407\pi$
$458$	−20.0398	−	11.5700i	−0.936398	−	0.540630i
$459$		−	7.96173i		−	0.371622i
$460$	−23.4073	+	6.27196i	−1.09137	+	0.292432i
$461$	−1.60974	+	0.431329i	−0.0749731	+	0.0200890i	−0.296111	−	0.955154i	$-0.595690\pi$
$461$	−1.60974	+	0.431329i	−0.0749731	+	0.0200890i	0.221138	+	0.975243i	$0.429023\pi$
$462$	1.18962	+	2.35782i	0.0553460	+	0.109696i
$463$	−18.8646	−	18.8646i	−0.876713	−	0.876713i	0.116480	−	0.993193i	$-0.462839\pi$
$463$	−18.8646	−	18.8646i	−0.876713	−	0.876713i	−0.993193	+	0.116480i	$0.962839\pi$
$464$	2.46814	+	4.27494i	0.114580	+	0.198459i
$465$	8.92231	−	15.4539i	0.413762	−	0.716657i
$466$	−11.6755	+	3.12844i	−0.540857	+	0.144922i
$467$	−11.4518	+	19.8351i	−0.529926	+	0.917859i	0.469465	+	0.882951i	$0.344447\pi$
$467$	−11.4518	+	19.8351i	−0.529926	+	0.917859i	−0.999391	+	0.0349075i	$0.988886\pi$
$468$	2.16342	+	2.35623i	0.100004	+	0.108917i
$469$	11.7176	−	2.44214i	0.541069	−	0.112767i
$470$	−18.5205	−	4.96255i	−0.854286	−	0.228905i
$471$	−7.40573			−0.341238
$472$	14.7707			0.679876
$473$	−0.0988416	−	0.0264845i	−0.00454474	−	0.00121776i
$474$	0.258748	−	0.965660i	0.0118847	−	0.0443542i
$475$	−4.74909	−	17.7239i	−0.217903	−	0.813226i
$476$	18.6587	+	1.05206i	0.855220	+	0.0482212i
$477$	−0.747827	+	1.29527i	−0.0342406	+	0.0593065i
$478$			7.30134i			0.333956i
$479$	0.198528	+	0.740918i	0.00907099	+	0.0338534i	0.970313	−	0.241853i	$-0.0777550\pi$
$479$	0.198528	+	0.740918i	0.00907099	+	0.0338534i	−0.961242	+	0.275706i	$0.911088\pi$
$480$	−15.6018	+	9.00773i	−0.712124	+	0.411145i
$481$	−18.8328	+	29.6267i	−0.858700	+	1.35086i
$482$		−	8.75782i		−	0.398908i
$483$	−15.3479	−	10.0538i	−0.698354	−	0.457464i
$484$	−4.48234	−	7.76365i	−0.203743	−	0.352893i
$485$	−40.7889	+	23.5495i	−1.85213	+	1.06933i
$486$	−0.273028	+	1.01896i	−0.0123848	+	0.0462208i
$487$	−5.22200	+	5.22200i	−0.236631	+	0.236631i	−0.815454	−	0.578822i	$-0.803512\pi$
$487$	−5.22200	+	5.22200i	−0.236631	+	0.236631i	0.578822	+	0.815454i	$0.303512\pi$
$488$	19.4723	+	5.21758i	0.881469	+	0.236189i
$489$	3.27600	−	3.27600i	0.148146	−	0.148146i
$490$	17.2819	−	23.3940i	0.780715	−	1.05684i
$491$	6.17910	−	3.56750i	0.278859	−	0.160999i	−0.354048	−	0.935227i	$-0.615195\pi$
$491$	6.17910	−	3.56750i	0.278859	−	0.160999i	0.632907	+	0.774228i	$0.281862\pi$
$492$	0.284089	+	0.284089i	0.0128077	+	0.0128077i
$493$	13.6602	+	23.6601i	0.615223	+	1.06560i
$494$	4.88951	−	4.48940i	0.219989	−	0.201988i
$495$	−3.22766	−	1.86349i	−0.145073	−	0.0837577i
$496$	−1.68680	+	6.29522i	−0.0757395	+	0.282664i
$497$	−26.8206	+	5.58985i	−1.20307	+	0.250739i
$498$	−10.6726	−	6.16183i	−0.478250	−	0.276118i
$499$	−5.54585	−	20.6974i	−0.248266	−	0.926542i	−0.971714	−	0.236163i	$-0.924110\pi$
$499$	−5.54585	−	20.6974i	−0.248266	−	0.926542i	0.723447	−	0.690380i	$-0.242556\pi$
$500$	13.6246	+	13.6246i	0.609309	+	0.609309i
$501$	−8.93868	−	8.93868i	−0.399351	−	0.399351i
$502$	−4.26629	−	15.9220i	−0.190414	−	0.710634i
$503$	−20.5890	−	11.8871i	−0.918020	−	0.530019i	−0.0350174	−	0.999387i	$-0.511149\pi$
$503$	−20.5890	−	11.8871i	−0.918020	−	0.530019i	−0.883003	+	0.469367i	$0.844482\pi$
$504$	−7.65382	−	2.52047i	−0.340928	−	0.112271i
$505$	−19.0804	+	71.2091i	−0.849068	+	3.16876i
$506$	5.99475	+	3.46107i	0.266499	+	0.153863i
$507$	12.9528	+	1.10716i	0.575253	+	0.0491707i
$508$	−4.04648	−	7.00871i	−0.179534	−	0.310961i
$509$	21.9137	+	21.9137i	0.971309	+	0.971309i	0.999600	−	0.0282911i	$-0.00900654\pi$
$509$	21.9137	+	21.9137i	0.971309	+	0.971309i	−0.0282911	+	0.999600i	$0.509007\pi$
$510$	28.6491	−	16.5406i	1.26860	−	0.732429i
$511$	3.38844	−	10.2895i	0.149896	−	0.455182i
$512$	10.8487	−	10.8487i	0.479449	−	0.479449i
$513$	−1.68575	−	0.451695i	−0.0744275	−	0.0199428i
$514$	−0.420608	+	0.420608i	−0.0185522	+	0.0185522i
$515$	6.70428	−	25.0207i	0.295426	−	1.10254i
$516$	0.0830891	−	0.0479715i	0.00365779	−	0.00211183i
$517$	−2.18324	−	3.78149i	−0.0960189	−	0.166310i
$518$	1.52981	−	27.1318i	0.0672162	−	1.19210i
$519$		−	18.3187i		−	0.804104i
$520$	−12.9653	+	41.2643i	−0.568567	+	1.80956i
$521$	23.5185	−	13.5784i	1.03036	−	0.594881i	0.113275	−	0.993564i	$-0.463866\pi$
$521$	23.5185	−	13.5784i	1.03036	−	0.594881i	0.917089	+	0.398683i	$0.130533\pi$
$522$	−0.936885	−	3.49650i	−0.0410063	−	0.153038i
$523$		−	42.2101i		−	1.84572i	−0.385137	−	0.922859i	$-0.625846\pi$
$523$		−	42.2101i		−	1.84572i	0.385137	−	0.922859i	$-0.374154\pi$
$524$	3.47825	−	6.02451i	0.151948	−	0.263182i
$525$	−1.56598	+	27.7732i	−0.0683449	+	1.21212i
$526$	−0.493811	−	1.84293i	−0.0215312	−	0.0803554i
$527$	−9.33577	+	34.8416i	−0.406673	+	1.51772i
$528$	1.31480	+	0.352301i	0.0572195	+	0.0153319i
$529$	−25.0911			−1.09092
$530$	−6.21447			−0.269939
$531$	−4.68445	−	1.25519i	−0.203288	−	0.0544708i
$532$	1.28132	−	3.89094i	0.0555523	−	0.168694i
$533$	1.63130	+	0.0695920i	0.0706593	+	0.00301436i
$534$	2.82807	−	4.89837i	0.122383	−	0.211973i
$535$	19.7591	−	5.29443i	0.854260	−	0.228898i
$536$	6.88937	−	11.9327i	0.297576	−	0.515416i
$537$	8.97032	+	15.5371i	0.387098	+	0.670473i
$538$	3.43567	+	3.43567i	0.148122	+	0.148122i
$539$	6.55007	−	0.984249i	0.282131	−	0.0423946i
$540$	3.37535	−	0.904422i	0.145252	−	0.0389201i
$541$	6.69743	−	1.79457i	0.287945	−	0.0771547i	−0.111955	−	0.993713i	$-0.535711\pi$
$541$	6.69743	−	1.79457i	0.287945	−	0.0771547i	0.399900	+	0.916559i	$0.369045\pi$
$542$			4.27980i			0.183833i
$543$	9.81626	+	5.66742i	0.421256	+	0.243212i
$544$	25.7500	−	25.7500i	1.10402	−	1.10402i
$545$	44.9558			1.92570
$546$	−9.16938	+	4.14592i	−0.392413	+	0.177429i
$547$	32.4507			1.38749			0.693747	−	0.720219i	$-0.255959\pi$
$547$	32.4507			1.38749			0.693747	+	0.720219i	$0.255959\pi$
$548$	−4.77449	+	4.77449i	−0.203956	+	0.203956i
$549$	−5.73215	−	3.30946i	−0.244642	−	0.141244i
$550$		−	10.4948i		−	0.447499i
$551$	5.78456	−	1.54997i	0.246431	−	0.0660309i
$552$	−20.4015	+	5.46657i	−0.868345	+	0.232672i
$553$	−2.09742	−	1.37394i	−0.0891915	−	0.0584257i
$554$	9.10707	+	9.10707i	0.386922	+	0.386922i
$555$	19.1751	+	33.2123i	0.813939	+	1.40978i
$556$	−1.97717	+	3.42456i	−0.0838508	+	0.145234i
$557$	5.55001	−	1.48712i	0.235161	−	0.0630113i	−0.139314	−	0.990248i	$-0.544490\pi$
$557$	5.55001	−	1.48712i	0.235161	−	0.0630113i	0.374475	+	0.927237i	$0.377823\pi$
$558$	2.38961	−	4.13893i	0.101160	−	0.175215i
$559$	0.116879	−	0.371987i	0.00494344	−	0.0157334i
$560$	−3.05864	−	14.6757i	−0.129251	−	0.620160i
$561$	7.27693	+	1.94985i	0.307232	+	0.0823226i
$562$	−1.13079			−0.0476997
$563$	−43.6474			−1.83952			−0.919760	−	0.392482i	$-0.871617\pi$
$563$	−43.6474			−1.83952			−0.919760	+	0.392482i	$0.871617\pi$
$564$	3.95451	+	1.05961i	0.166515	+	0.0446176i
$565$	−2.74083	+	10.2289i	−0.115307	+	0.430333i
$566$	5.64548	+	21.0692i	0.237297	+	0.885605i
$567$	2.21318	+	1.44977i	0.0929449	+	0.0608845i
$568$	−15.7692	+	27.3130i	−0.661661	+	1.14603i
$569$			3.16172i			0.132546i	0.997802	+	0.0662730i	$0.0211108\pi$
$569$			3.16172i			0.132546i	−0.997802	+	0.0662730i	$0.978889\pi$
$570$	−1.87680	−	7.00431i	−0.0786104	−	0.293378i
$571$	−31.3887	+	18.1222i	−1.31357	+	0.758393i	−0.982686	−	0.185277i	$-0.940682\pi$
$571$	−31.3887	+	18.1222i	−1.31357	+	0.758393i	−0.330888	+	0.943670i	$0.607348\pi$
$572$	−2.68340	+	1.40030i	−0.112198	+	0.0585493i
$573$		−	14.6688i		−	0.612796i
$574$	−1.12842	+	0.569334i	−0.0470993	+	0.0237635i
$575$	36.4559	+	63.1435i	1.52032	+	2.63327i
$576$	−6.67017	+	3.85103i	−0.277924	+	0.160459i
$577$	1.35035	−	5.03959i	0.0562160	−	0.209801i	−0.932105	−	0.362189i	$-0.882030\pi$
$577$	1.35035	−	5.03959i	0.0562160	−	0.209801i	0.988321	+	0.152388i	$0.0486963\pi$
$578$	−34.6030	+	34.6030i	−1.43930	+	1.43930i
$579$	11.3200	+	3.03319i	0.470445	+	0.126055i
$580$	−8.47888	+	8.47888i	−0.352066	+	0.352066i
$581$	−23.0513	+	20.5905i	−0.956327	+	0.854239i
$582$	−10.9243	+	6.30714i	−0.452826	+	0.261439i
$583$	−1.00072	−	1.00072i	−0.0414456	−	0.0414456i
$584$	−6.23534	−	10.7999i	−0.258020	−	0.446904i
$585$	7.61847	−	11.9850i	0.314985	−	0.495519i
$586$	2.30215	+	1.32915i	0.0951010	+	0.0549066i
$587$	9.40982	−	35.1179i	0.388385	−	1.44947i	−0.444377	−	0.895840i	$-0.646575\pi$
$587$	9.40982	−	35.1179i	0.388385	−	1.44947i	0.832762	−	0.553632i	$-0.186758\pi$
$588$	−3.69004	+	4.99512i	−0.152175	+	0.205995i
$589$	6.84740	+	3.95335i	0.282142	+	0.162895i
$590$	−5.21535	−	19.4640i	−0.214713	−	0.801319i
$591$	7.52910	+	7.52910i	0.309706	+	0.309706i
$592$	−9.90405	−	9.90405i	−0.407054	−	0.407054i
$593$	−10.9522	−	40.8740i	−0.449751	−	1.67849i	−0.703078	−	0.711113i	$-0.748191\pi$
$593$	−10.9522	−	40.8740i	−0.449751	−	1.67849i	0.253327	−	0.967381i	$-0.418475\pi$
$594$	−0.864448	−	0.499089i	−0.0354687	−	0.0204779i
$595$	−16.9284	−	81.2241i	−0.693996	−	3.32986i
$596$	0.172787	−	0.644851i	0.00707764	−	0.0264141i
$597$	−18.4076	−	10.6276i	−0.753372	−	0.434960i
$598$	−14.1498	+	22.2598i	−0.578629	+	0.910270i
$599$	16.9264	+	29.3174i	0.691594	+	1.19788i	0.971315	+	0.237795i	$0.0764246\pi$
$599$	16.9264	+	29.3174i	0.691594	+	1.19788i	−0.279721	+	0.960081i	$0.590242\pi$
$600$	22.6432	+	22.6432i	0.924403	+	0.924403i
$601$	−21.1918	+	12.2351i	−0.864431	+	0.499080i	−0.865494	−	0.500920i	$-0.832995\pi$
$601$	−21.1918	+	12.2351i	−0.864431	+	0.499080i	0.00106241	+	0.999999i	$0.499662\pi$
$602$	0.0615826	+	0.295479i	0.00250992	+	0.0120428i
$603$	−3.19896	+	3.19896i	−0.130272	+	0.130272i
$604$	−0.0560526	−	0.0150193i	−0.00228075	−	0.000611125i
$605$	−28.1428	+	28.1428i	−1.14417	+	1.14417i
$606$	−5.11021	+	19.0716i	−0.207588	+	0.774729i
$607$	19.8343	−	11.4513i	0.805048	−	0.464795i	−0.0401853	−	0.999192i	$-0.512795\pi$
$607$	19.8343	−	11.4513i	0.805048	−	0.464795i	0.845233	+	0.534398i	$0.179461\pi$
$608$	−3.99119	−	6.91295i	−0.161864	−	0.280357i
$609$	−9.06438	−	0.511091i	−0.367307	−	0.0207105i
$610$		−	27.5017i		−	1.11351i
$611$	14.7506	−	7.69741i	0.596746	−	0.311404i
$612$	−6.11719	+	3.53176i	−0.247273	+	0.142763i
$613$	−9.00681	−	33.6139i	−0.363782	−	1.35765i	−0.869065	−	0.494698i	$-0.835279\pi$
$613$	−9.00681	−	33.6139i	−0.363782	−	1.35765i	0.505283	−	0.862954i	$-0.331388\pi$
$614$			20.9695i			0.846260i
$615$	0.891841	−	1.54471i	0.0359625	−	0.0622888i
$616$	4.17812	−	6.37822i	0.168341	−	0.256986i
$617$	−8.38788	−	31.3040i	−0.337684	−	1.26025i	−0.900930	−	0.433963i	$-0.857115\pi$
$617$	−8.38788	−	31.3040i	−0.337684	−	1.26025i	0.563247	−	0.826289i	$-0.309552\pi$
$618$	1.79557	−	6.70117i	0.0722285	−	0.269560i
$619$	−38.0001	−	10.1821i	−1.52735	−	0.409253i	−0.605200	−	0.796074i	$-0.706907\pi$
$619$	−38.0001	−	10.1821i	−1.52735	−	0.409253i	−0.922155	+	0.386820i	$0.873573\pi$
$620$	−15.8315			−0.635807
$621$	6.93477			0.278283
$622$	−10.3398	−	2.77055i	−0.414590	−	0.111089i
$623$	−9.45037	−	10.5798i	−0.378621	−	0.423869i
$624$	−1.55473	+	4.94821i	−0.0622392	+	0.198087i
$625$	16.4867	−	28.5558i	0.659467	−	1.14223i
$626$	27.3098	−	7.31763i	1.09152	−	0.292471i
$627$	0.825686	−	1.43013i	0.0329747	−	0.0571139i
$628$	3.28512	+	5.69000i	0.131091	+	0.227056i
$629$	−54.8150	−	54.8150i	−2.18562	−	2.18562i
$630$	−0.618861	+	10.9757i	−0.0246560	+	0.437283i
$631$	15.0028	−	4.01998i	0.597251	−	0.160033i	0.0524858	−	0.998622i	$-0.483286\pi$
$631$	15.0028	−	4.01998i	0.597251	−	0.160033i	0.544765	+	0.838589i	$0.316619\pi$
$632$	−2.78804	+	0.747052i	−0.110902	+	0.0297161i
$633$			23.5117i			0.934505i
$634$	11.6995	+	6.75471i	0.464646	+	0.268264i
$635$	−25.4062	+	25.4062i	−1.00821	+	1.00821i
$636$	1.32692			0.0526158
$637$	2.68323	+	25.0958i	0.106314	+	0.994333i
$638$	3.42520			0.135605
$639$	7.32215	−	7.32215i	0.289660	−	0.289660i
$640$	3.48900	+	2.01438i	0.137915	+	0.0796252i
$641$			13.5078i			0.533526i	0.963762	+	0.266763i	$0.0859541\pi$
$641$			13.5078i			0.533526i	−0.963762	+	0.266763i	$0.914046\pi$
$642$	5.29197	−	1.41798i	0.208857	−	0.0559632i
$643$	25.1020	−	6.72606i	0.989926	−	0.265250i	0.272706	−	0.962097i	$-0.412081\pi$
$643$	25.1020	−	6.72606i	0.989926	−	0.265250i	0.717219	+	0.696848i	$0.245415\pi$
$644$	−0.916360	+	16.2520i	−0.0361096	+	0.640417i
$645$	−0.301194	−	0.301194i	−0.0118595	−	0.0118595i
$646$	7.32889	+	12.6940i	0.288351	+	0.499439i
$647$	11.5556	−	20.0149i	0.454298	−	0.786868i	−0.544349	−	0.838859i	$-0.683223\pi$
$647$	11.5556	−	20.0149i	0.454298	−	0.786868i	0.998648	+	0.0519911i	$0.0165567\pi$
$648$	2.94191	−	0.788283i	0.115569	−	0.0309667i
$649$	2.29446	−	3.97413i	0.0900656	−	0.155998i
$650$	39.9535	+	1.70444i	1.56710	+	0.0668535i
$651$	−7.98521	−	8.93950i	−0.312965	−	0.350367i
$652$	−3.97023	−	1.06382i	−0.155486	−	0.0416624i
$653$	−33.5022			−1.31104			−0.655522	−	0.755176i	$-0.727551\pi$
$653$	−33.5022			−1.31104			−0.655522	+	0.755176i	$0.727551\pi$
$654$	12.0403			0.470812
$655$	−29.8320	−	7.99345i	−1.16563	−	0.312330i
$656$	−0.168606	+	0.629246i	−0.00658296	+	0.0245679i
$657$	1.05974	+	3.95501i	0.0413445	+	0.154300i
$658$	−7.05741	+	10.7737i	−0.275126	+	0.420002i
$659$	0.940246	−	1.62855i	0.0366268	−	0.0634395i	−0.847131	−	0.531384i	$-0.821672\pi$
$659$	0.940246	−	1.62855i	0.0366268	−	0.0634395i	0.883758	+	0.467945i	$0.155005\pi$
$660$			3.30652i			0.128706i
$661$	−12.6624	−	47.2568i	−0.492511	−	1.83807i	−0.543548	−	0.839378i	$-0.682920\pi$
$661$	−12.6624	−	47.2568i	−0.492511	−	1.83807i	0.0510377	−	0.998697i	$-0.483747\pi$
$662$	−0.690553	+	0.398691i	−0.0268391	+	0.0154956i
$663$	−8.60485	+	27.3864i	−0.334185	+	1.06360i
$664$			35.5807i			1.38080i
$665$	−18.1581	−	1.02383i	−0.704139	−	0.0397026i
$666$	5.13557	+	8.89507i	0.198999	+	0.344677i
$667$	−20.6082	+	11.8982i	−0.797955	+	0.460699i
$668$	−2.90268	+	10.8329i	−0.112308	+	0.419139i
$669$	4.28403	−	4.28403i	0.165630	−	0.165630i
$670$	−18.1568	−	4.86511i	−0.701460	−	0.187956i
$671$	4.42862	−	4.42862i	0.170965	−	0.170965i
$672$	2.46905	+	11.8468i	0.0952459	+	0.456999i
$673$	−16.4185	+	9.47923i	−0.632887	+	0.365397i	−0.781869	−	0.623442i	$-0.785734\pi$
$673$	−16.4185	+	9.47923i	−0.632887	+	0.365397i	0.148982	+	0.988840i	$0.452400\pi$
$674$	9.67357	+	9.67357i	0.372612	+	0.372612i
$675$	−5.25697	−	9.10535i	−0.202341	−	0.350465i
$676$	−4.89509	−	10.4431i	−0.188273	−	0.401656i
$677$	−7.78358	−	4.49385i	−0.299147	−	0.172713i	0.342913	−	0.939367i	$-0.388587\pi$
$677$	−7.78358	−	4.49385i	−0.299147	−	0.172713i	−0.642060	+	0.766655i	$0.721920\pi$
$678$	−0.734061	+	2.73955i	−0.0281914	+	0.105212i
$679$	6.45501	+	30.9718i	0.247721	+	1.18859i
$680$	−82.7153	−	47.7557i	−3.17199	−	1.83135i
$681$	−5.40197	−	20.1604i	−0.207004	−	0.772549i
$682$	3.19771	+	3.19771i	0.122447	+	0.122447i
$683$	−20.5680	−	20.5680i	−0.787011	−	0.787011i	0.193992	−	0.981003i	$-0.437856\pi$
$683$	−20.5680	−	20.5680i	−0.787011	−	0.787011i	−0.981003	+	0.193992i	$0.937856\pi$
$684$	0.400736	+	1.49557i	0.0153225	+	0.0571845i
$685$	25.9609	+	14.9885i	0.991916	+	0.572683i
$686$	−11.2948	−	15.9413i	−0.431236	−	0.608641i
$687$	5.67737	−	21.1882i	0.216605	−	0.808382i
$688$	0.134726	+	0.0777840i	0.00513638	+	0.00296549i
$689$	3.97224	−	3.64719i	0.151330	−	0.138947i
$690$	14.4070	+	24.9537i	0.548467	+	0.949973i
$691$	−14.2144	−	14.2144i	−0.540741	−	0.540741i	0.383005	−	0.923746i	$-0.374889\pi$
$691$	−14.2144	−	14.2144i	−0.540741	−	0.540741i	−0.923746	+	0.383005i	$0.874889\pi$
$692$	−14.0747	+	8.12605i	−0.535041	+	0.308906i
$693$	−1.86708	+	1.66777i	−0.0709246	+	0.0633534i
$694$	10.7311	−	10.7311i	0.407349	−	0.407349i
$695$	16.9577	+	4.54379i	0.643240	+	0.172356i
$696$	−7.39008	+	7.39008i	−0.280120	+	0.280120i
$697$	−0.933168	+	3.48263i	−0.0353463	+	0.131914i
$698$	−31.1823	+	18.0031i	−1.18027	+	0.681428i
$699$	−5.72914	−	9.92317i	−0.216696	−	0.375329i
$700$	22.0335	−	11.1168i	0.832786	−	0.420175i
$701$		−	26.4403i		−	0.998636i	−0.866419	−	0.499318i	$-0.833584\pi$
$701$		−	26.4403i		−	0.998636i	0.866419	−	0.499318i	$-0.166416\pi$
$702$	2.04041	−	3.20988i	0.0770105	−	0.121149i
$703$	−14.7159	+	8.49622i	−0.555020	+	0.320441i
$704$	−1.88625	−	7.03958i	−0.0710907	−	0.265314i
$705$		−	18.1759i		−	0.684545i
$706$	2.92551	−	5.06714i	0.110103	−	0.190704i
$707$	41.4236	+	27.1349i	1.55790	+	1.02051i
$708$	1.11359	+	4.15597i	0.0418512	+	0.156191i
$709$	0.263276	−	0.982560i	0.00988755	−	0.0369008i	−0.960806	−	0.277222i	$-0.910586\pi$
$709$	0.263276	−	0.982560i	0.00988755	−	0.0369008i	0.970693	+	0.240321i	$0.0772528\pi$
$710$	41.5595	+	11.1358i	1.55970	+	0.417920i
$711$	0.947695			0.0355413
$712$	−16.3303			−0.612005
$713$	−30.3475	−	8.13158i	−1.13652	−	0.304530i
$714$	−4.53384	−	21.7538i	−0.169675	−	0.814116i
$715$	9.08836	+	9.89834i	0.339885	+	0.370177i
$716$	7.95833	−	13.7842i	0.297417	−	0.515141i
$717$	−6.68551	+	1.79138i	−0.249675	+	0.0669002i
$718$	3.50637	−	6.07322i	0.130857	−	0.226650i
$719$	16.1333	+	27.9438i	0.601672	+	1.04213i	0.992568	+	0.121691i	$0.0388318\pi$
$719$	16.1333	+	27.9438i	0.601672	+	1.04213i	−0.390896	+	0.920435i	$0.627835\pi$
$720$	4.00652	+	4.00652i	0.149314	+	0.149314i
$721$	−14.5550	−	9.53439i	−0.542057	−	0.355079i
$722$	−16.2567	+	4.35596i	−0.605010	+	0.162112i
$723$	8.01914	−	2.14872i	0.298235	−	0.0799119i
$724$		−	10.0561i		−	0.373732i
$725$	31.2446	+	18.0391i	1.16039	+	0.669954i
$726$	−7.53734	+	7.53734i	−0.279737	+	0.279737i
$727$	−14.6393			−0.542941			−0.271471	−	0.962447i	$-0.587510\pi$
$727$	−14.6393			−0.542941			−0.271471	+	0.962447i	$0.587510\pi$
$728$	23.6032	+	16.9419i	0.874793	+	0.627908i
$729$	−1.00000			−0.0370370
$730$	−12.0299	+	12.0299i	−0.445246	+	0.445246i
$731$	0.745655	+	0.430504i	0.0275791	+	0.0159228i
$732$			5.87220i			0.217043i
$733$	48.6040	−	13.0234i	1.79523	−	0.481031i	0.802014	−	0.597305i	$-0.203762\pi$
$733$	48.6040	−	13.0234i	1.79523	−	0.481031i	0.993217	+	0.116275i	$0.0370952\pi$
$734$	7.28601	−	1.95228i	0.268931	−	0.0720599i
$735$	25.6610	+	10.0845i	0.946519	+	0.371973i
$736$	22.4286	+	22.4286i	0.826728	+	0.826728i
$737$	−2.14038	−	3.70724i	−0.0788417	−	0.136558i
$738$	0.238857	−	0.413712i	0.00879244	−	0.0152290i
$739$	20.1849	−	5.40853i	0.742514	−	0.198956i	0.132319	−	0.991207i	$-0.457758\pi$
$739$	20.1849	−	5.40853i	0.742514	−	0.198956i	0.610195	+	0.792251i	$0.291091\pi$
$740$	17.0119	−	29.4654i	0.625369	−	1.08317i
$741$	5.31038	+	3.37563i	0.195082	+	0.124007i
$742$	−1.30568	+	3.96492i	−0.0479332	+	0.145557i
$743$	25.4705	+	6.82479i	0.934421	+	0.250377i	0.693739	−	0.720227i	$-0.255962\pi$
$743$	25.4705	+	6.82479i	0.934421	+	0.250377i	0.240682	+	0.970604i	$0.422629\pi$
$744$	−13.7985			−0.505878
$745$	−2.96389			−0.108589
$746$	15.6304	+	4.18815i	0.572269	+	0.153339i
$747$	3.02360	−	11.2842i	0.110628	−	0.412868i
$748$	−1.72987	−	6.45597i	−0.0632504	−	0.236054i
$749$	0.773538	−	13.7190i	0.0282645	−	0.501280i
$750$	11.4553	−	19.8411i	0.418287	−	0.724495i
$751$		−	15.3030i		−	0.558416i	−0.960231	−	0.279208i	$-0.909928\pi$
$751$		−	15.3030i		−	0.558416i	0.960231	−	0.279208i	$-0.0900719\pi$
$752$	1.71812	+	6.41209i	0.0626532	+	0.233825i
$753$	13.5324	−	7.81291i	0.493146	−	0.284718i
$754$	−0.556280	+	13.0397i	−0.0202585	+	0.474877i
$755$			0.257632i			0.00937618i
$756$	0.132140	−	2.34355i	0.00480588	−	0.0852340i
$757$	9.00227	+	15.5924i	0.327193	+	0.566715i	0.981954	−	0.189121i	$-0.0605640\pi$
$757$	9.00227	+	15.5924i	0.327193	+	0.566715i	−0.654761	+	0.755836i	$0.727231\pi$
$758$	21.6253	−	12.4854i	0.785467	−	0.453490i
$759$	−1.69834	+	6.33829i	−0.0616459	+	0.230065i
$760$	−14.8041	+	14.8041i	−0.537000	+	0.537000i
$761$	−40.8513	−	10.9461i	−1.48086	−	0.396795i	−0.574219	−	0.818701i	$-0.694694\pi$
$761$	−40.8513	−	10.9461i	−1.48086	−	0.396795i	−0.906639	+	0.421907i	$0.861361\pi$
$762$	−6.80441	+	6.80441i	−0.246498	+	0.246498i
$763$	9.44540	−	28.6825i	0.341947	−	1.03838i
$764$	−11.2704	+	6.50694i	−0.407747	+	0.235413i
$765$	22.1745	+	22.1745i	0.801721	+	0.801721i
$766$	0.326683	+	0.565832i	0.0118035	+	0.0204443i
$767$	14.7568	+	9.38040i	0.532836	+	0.338707i
$768$	14.2748	+	8.24155i	0.515097	+	0.297391i
$769$	2.44052	−	9.10816i	0.0880075	−	0.328449i	−0.907859	−	0.419275i	$-0.862284\pi$
$769$	2.44052	−	9.10816i	0.0880075	−	0.328449i	0.995867	+	0.0908266i	$0.0289509\pi$
$770$	−9.88010	−	3.25361i	−0.356054	−	0.117252i
$771$	−0.488328	−	0.281936i	−0.0175867	−	0.0101537i
$772$	−2.69100	−	10.0430i	−0.0968513	−	0.361454i
$773$	−17.2254	−	17.2254i	−0.619556	−	0.619556i	0.325861	−	0.945418i	$-0.394346\pi$
$773$	−17.2254	−	17.2254i	−0.619556	−	0.619556i	−0.945418	+	0.325861i	$0.894346\pi$
$774$	−0.0806671	−	0.0806671i	−0.00289952	−	0.00289952i
$775$	12.3284	+	46.0104i	0.442851	+	1.65274i
$776$	31.5404	+	18.2099i	1.13223	+	0.653696i
$777$	25.2187	−	5.25598i	0.904716	−	0.188557i
$778$	2.58080	−	9.63167i	0.0925261	−	0.345312i
$779$	0.684440	+	0.395162i	0.0245226	+	0.0141581i
$780$	−12.5879	−	0.537005i	−0.450718	−	0.0192279i
$781$	4.89914	+	8.48556i	0.175305	+	0.303637i
$782$	−41.1848	−	41.1848i	−1.47276	−	1.47276i
$783$	2.97173	−	1.71573i	0.106201	−	0.0613151i
$784$	−10.0059	−	1.13196i	−0.357354	−	0.0404271i
$785$	20.6259	−	20.6259i	0.736171	−	0.736171i
$786$	−7.98974	−	2.14084i	−0.284984	−	0.0763614i
$787$	−11.7876	+	11.7876i	−0.420182	+	0.420182i	−0.885266	−	0.465085i	$-0.846024\pi$
$787$	−11.7876	+	11.7876i	−0.420182	+	0.420182i	0.465085	+	0.885266i	$0.346024\pi$
$788$	2.44494	−	9.12464i	0.0870974	−	0.325052i
$789$	1.56633	−	0.904321i	0.0557628	−	0.0321947i
$790$	1.96884	+	3.41014i	0.0700484	+	0.121327i
$791$	5.95033	+	3.89782i	0.211570	+	0.138591i
$792$			2.88192i			0.102405i
$793$	16.1404	+	17.5789i	0.573163	+	0.624245i
$794$	−8.16842	+	4.71604i	−0.289886	+	0.167366i
$795$	−1.52471	−	5.69031i	−0.0540760	−	0.201814i
$796$			18.8573i			0.668380i
$797$	−7.91214	+	13.7042i	−0.280263	+	0.485429i	−0.971449	−	0.237247i	$-0.923755\pi$
$797$	−7.91214	+	13.7042i	−0.280263	+	0.485429i	0.691187	+	0.722676i	$0.257088\pi$
$798$	−4.86318	−	0.274208i	−0.172155	−	0.00970686i
$799$	9.50910	+	35.4884i	0.336408	+	1.25549i
$800$	12.4465	−	46.4509i	0.440049	−	1.64229i
$801$	5.17908	+	1.38773i	0.182994	+	0.0490331i
$802$	6.99594			0.247035
$803$	−3.87436			−0.136723
$804$	3.87687	+	1.03880i	0.136727	+	0.0366358i
$805$	70.7472	−	14.7448i	2.49351	−	0.519687i
$806$	−12.6930	+	11.6543i	−0.447090	+	0.410505i
$807$	−2.30295	+	3.98883i	−0.0810677	+	0.140413i
$808$	55.0631	−	14.7541i	1.93711	−	0.519048i
$809$	18.2488	−	31.6079i	0.641594	−	1.11127i	−0.343483	−	0.939159i	$-0.611607\pi$
$809$	18.2488	−	31.6079i	0.641594	−	1.11127i	0.985077	−	0.172115i	$-0.0550600\pi$
$810$	−2.07751	−	3.59835i	−0.0729962	−	0.126433i
$811$	33.0051	+	33.0051i	1.15897	+	1.15897i	0.984698	+	0.174269i	$0.0557563\pi$
$811$	33.0051	+	33.0051i	1.15897	+	1.15897i	0.174269	+	0.984698i	$0.444244\pi$
$812$	3.62820	+	7.19110i	0.127325	+	0.252358i
$813$	−3.91882	+	1.05005i	−0.137439	+	0.0368267i
$814$	−9.38769	+	2.51542i	−0.329038	+	0.0881656i
$815$			18.2482i			0.639206i
$816$	−9.91880	−	5.72662i	−0.347227	−	0.200472i
$817$	0.133455	−	0.133455i	0.00466898	−	0.00466898i
$818$	−17.2679			−0.603758
$819$	−6.04594	−	7.37880i	−0.211262	−	0.257836i
$820$	−1.58245			−0.0552617
$821$	−24.7866	+	24.7866i	−0.865059	+	0.865059i	−0.991920	−	0.126861i	$-0.959510\pi$
$821$	−24.7866	+	24.7866i	−0.865059	+	0.865059i	0.126861	+	0.991920i	$0.459510\pi$
$822$	6.95297	+	4.01430i	0.242513	+	0.140015i
$823$			12.9225i			0.450449i	0.974307	+	0.225225i	$0.0723116\pi$
$823$			12.9225i			0.450449i	−0.974307	+	0.225225i	$0.927688\pi$
$824$	−19.3475	+	5.18415i	−0.674002	+	0.180598i
$825$	9.60962	−	2.57489i	0.334564	−	0.0896461i
$826$	−13.5141	−	0.761985i	−0.470215	−	0.0265128i
$827$	16.1945	+	16.1945i	0.563138	+	0.563138i	0.930198	−	0.367059i	$-0.119635\pi$
$827$	16.1945	+	16.1945i	0.563138	+	0.563138i	−0.367059	+	0.930198i	$0.619635\pi$
$828$	−3.07621	−	5.32815i	−0.106906	−	0.185166i
$829$	9.01082	−	15.6072i	0.312959	−	0.542060i	−0.666043	−	0.745914i	$-0.732013\pi$
$829$	9.01082	−	15.6072i	0.312959	−	0.542060i	0.979001	+	0.203853i	$0.0653465\pi$
$830$	46.8861	−	12.5631i	1.62744	−	0.436072i
$831$	−6.10452	+	10.5733i	−0.211764	+	0.366785i
$832$	27.1059	−	6.03763i	0.939727	−	0.209317i
$833$	−55.3789	−	6.26495i	−1.91877	−	0.217068i
$834$	4.54168	+	1.21694i	0.157265	+	0.0421391i
$835$	49.7909			1.72308
$836$	−1.46507			−0.0506706
$837$	4.37613	+	1.17258i	0.151261	+	0.0405303i
$838$	−6.27361	+	23.4134i	−0.216718	+	0.808803i
$839$	9.35633	+	34.9183i	0.323016	+	1.20551i	0.916291	+	0.400513i	$0.131168\pi$
$839$	9.35633	+	34.9183i	0.323016	+	1.20551i	−0.593275	+	0.805000i	$0.702165\pi$
$840$	28.3368	−	14.2971i	0.977711	−	0.493296i
$841$	8.61256	−	14.9174i	0.296985	−	0.514393i
$842$		−	4.97843i		−	0.171568i
$843$	−0.277440	−	1.03542i	−0.00955552	−	0.0356617i
$844$	18.0646	−	10.4296i	0.621808	−	0.359001i
$845$	−39.1588	+	32.9916i	−1.34710	+	1.13495i
$846$		−	4.86796i		−	0.167364i
$847$	12.0426	+	23.8685i	0.413789	+	0.820130i
$848$	1.07578	+	1.86330i	0.0369423	+	0.0639859i
$849$	−17.9070	+	10.3386i	−0.614568	+	0.354821i
$850$	−22.8550	+	85.2961i	−0.783920	+	2.92563i
$851$	47.7446	−	47.7446i	1.63666	−	1.63666i
$852$	−8.87383	−	2.37774i	−0.304012	−	0.0814599i
$853$	9.67121	−	9.67121i	0.331136	−	0.331136i	−0.521882	−	0.853018i	$-0.674770\pi$
$853$	9.67121	−	9.67121i	0.331136	−	0.331136i	0.853018	+	0.521882i	$0.174770\pi$
$854$	−17.5465	−	5.77822i	−0.600429	−	0.197727i
$855$	5.95306	−	3.43700i	0.203590	−	0.117543i
$856$	−11.1849	−	11.1849i	−0.382293	−	0.382293i
$857$	15.8586	+	27.4680i	0.541720	+	0.938287i	0.998805	+	0.0488643i	$0.0155602\pi$
$857$	15.8586	+	27.4680i	0.541720	+	0.938287i	−0.457085	+	0.889423i	$0.651106\pi$
$858$	2.43409	+	2.65102i	0.0830983	+	0.0905043i
$859$	3.30317	+	1.90709i	0.112703	+	0.0650690i	0.555292	−	0.831656i	$-0.312607\pi$
$859$	3.30317	+	1.90709i	0.112703	+	0.0650690i	−0.442589	+	0.896725i	$0.645940\pi$
$860$	−0.0978072	+	0.365022i	−0.00333520	+	0.0124471i
$861$	−0.798171	−	0.893558i	−0.0272016	−	0.0304524i
$862$	−25.7349	−	14.8581i	−0.876534	−	0.506067i
$863$	−6.89611	−	25.7366i	−0.234746	−	0.876086i	−0.978263	−	0.207368i	$-0.933510\pi$
$863$	−6.89611	−	25.7366i	−0.234746	−	0.876086i	0.743517	−	0.668718i	$-0.233156\pi$
$864$	−3.23422	−	3.23422i	−0.110030	−	0.110030i
$865$	51.0202	+	51.0202i	1.73474	+	1.73474i
$866$	−5.40036	−	20.1544i	−0.183512	−	0.684875i
$867$	−40.1742	−	23.1946i	−1.36439	−	0.787730i
$868$	−3.32626	+	10.1007i	−0.112901	+	0.342841i
$869$	−0.232093	+	0.866181i	−0.00787320	+	0.0293832i
$870$	12.3476	+	7.12888i	0.418622	+	0.241692i
$871$	14.4610	−	7.54628i	0.489992	−	0.255696i
$872$	−17.3812	−	30.1052i	−0.588603	−	1.01949i
$873$	−8.45543	−	8.45543i	−0.286173	−	0.286173i
$874$	−11.0566	+	6.38355i	−0.373996	+	0.215927i
$875$	−38.2793	−	42.8539i	−1.29408	−	1.44873i
$876$	2.56864	−	2.56864i	0.0867862	−	0.0867862i
$877$	0.296491	+	0.0794445i	0.0100118	+	0.00268265i	0.263821	−	0.964572i	$-0.415017\pi$
$877$	0.296491	+	0.0794445i	0.0100118	+	0.00268265i	−0.253810	+	0.967254i	$0.581684\pi$
$878$	−16.3415	+	16.3415i	−0.551499	+	0.551499i
$879$	−0.652210	+	2.43408i	−0.0219985	+	0.0820996i
$880$	−4.64311	+	2.68070i	−0.156519	+	0.0903664i
$881$	−4.00050	−	6.92907i	−0.134780	−	0.233446i	0.790733	−	0.612161i	$-0.209700\pi$
$881$	−4.00050	−	6.92907i	−0.134780	−	0.233446i	−0.925513	+	0.378715i	$0.876366\pi$
$882$	6.87264	+	2.70088i	0.231414	+	0.0909435i
$883$		−	49.8829i		−	1.67869i	−0.543597	−	0.839346i	$-0.682938\pi$
$883$		−	49.8829i		−	1.67869i	0.543597	−	0.839346i	$-0.317062\pi$
$884$	24.8587	−	5.53709i	0.836088	−	0.186232i
$885$	16.5427	−	9.55094i	0.556077	−	0.321051i
$886$	5.39334	+	20.1282i	0.181193	+	0.676221i
$887$			9.86893i			0.331366i	0.986179	+	0.165683i	$0.0529829\pi$
$887$			9.86893i			0.331366i	−0.986179	+	0.165683i	$0.947017\pi$
$888$	14.8273	−	25.6817i	0.497573	−	0.861822i
$889$	10.8716	+	21.5475i	0.364621	+	0.722680i
$890$	5.76604	+	21.5192i	0.193278	+	0.721324i
$891$	0.244902	−	0.913987i	0.00820453	−	0.0306197i
$892$	−5.19188	−	1.39116i	−0.173837	−	0.0465795i
$893$	8.05349			0.269500
$894$	−0.793804			−0.0265488
$895$	−68.2563	−	18.2892i	−2.28156	−	0.611341i
$896$	2.01825	−	1.80281i	0.0674252	−	0.0602275i
$897$	−23.8539	−	7.49493i	−0.796459	−	0.250249i
$898$	17.3467	−	30.0454i	0.578868	−	1.00263i
$899$	−15.0165	+	4.02366i	−0.500828	+	0.134196i
$900$	−4.66390	+	8.07812i	−0.155463	+	0.269271i
$901$	5.95400	+	10.3126i	0.198356	+	0.343563i
$902$	0.319631	+	0.319631i	0.0106426	+	0.0106426i
$903$	−0.255448	+	0.128884i	−0.00850078	+	0.00428899i
$904$	7.90959	−	2.11937i	0.263069	−	0.0704891i
$905$	−43.1241	+	11.5551i	−1.43349	+	0.384104i
$906$			0.0690001i			0.00229238i
$907$	17.9912	+	10.3872i	0.597389	+	0.344903i	0.768014	−	0.640433i	$-0.221245\pi$
$907$	17.9912	+	10.3872i	0.597389	+	0.344903i	−0.170625	+	0.985336i	$0.554579\pi$
$908$	−13.0935	+	13.0935i	−0.434522	+	0.434522i
$909$	−18.7168			−0.620796
$910$	13.9910	−	37.0849i	0.463798	−	1.22935i
$911$	15.1029			0.500380			0.250190	−	0.968197i	$-0.419507\pi$
$911$	15.1029			0.500380			0.250190	+	0.968197i	$0.419507\pi$
$912$	−1.77523	+	1.77523i	−0.0587837	+	0.0587837i
$913$	9.57315	+	5.52706i	0.316825	+	0.182919i
$914$			16.5497i			0.547415i
$915$	25.1821	−	6.74752i	0.832494	−	0.223066i
$916$	−18.7979	+	5.03687i	−0.621099	+	0.166423i
$917$	−11.3678	+	17.3538i	−0.375397	+	0.573073i
$918$	5.93888	+	5.93888i	0.196012	+	0.196012i
$919$	4.36219	+	7.55554i	0.143896	+	0.249234i	0.928960	−	0.370179i	$-0.120704\pi$
$919$	4.36219	+	7.55554i	0.143896	+	0.249234i	−0.785065	+	0.619414i	$0.787370\pi$
$920$	41.5958	−	72.0460i	1.37137	−	2.37529i
$921$	−19.2008	+	5.14485i	−0.632689	+	0.169528i
$922$	0.879010	−	1.52249i	0.0289486	−	0.0501405i
$923$	−33.1000	+	17.2728i	−1.08950	+	0.568541i
$924$	2.10961	+	0.694714i	0.0694011	+	0.0228544i
$925$	−98.8819	−	26.4953i	−3.25122	−	0.871161i
$926$	28.1433			0.924845
$927$	6.57650			0.216001
$928$	15.1602	+	4.06218i	0.497659	+	0.133347i
$929$	−4.85394	+	18.1152i	−0.159253	+	0.594339i	0.839451	+	0.543436i	$0.182877\pi$
$929$	−4.85394	+	18.1152i	−0.159253	+	0.594339i	−0.998704	+	0.0509037i	$0.983790\pi$
$930$	4.87209	+	18.1829i	0.159762	+	0.596240i
$931$	−4.46831	+	11.3700i	−0.146443	+	0.372637i
$932$	−5.08280	+	8.80368i	−0.166493	+	0.288374i
$933$		−	10.1475i		−	0.332214i
$934$	−6.25333	−	23.3378i	−0.204615	−	0.763635i
$935$	−25.6978	+	14.8366i	−0.840408	+	0.485210i
$936$	−10.9714	−	0.468047i	−0.358612	−	0.0152986i
$937$		−	21.0904i		−	0.688992i	−0.938788	−	0.344496i	$-0.888050\pi$
$937$		−	21.0904i		−	0.688992i	0.938788	−	0.344496i	$-0.111950\pi$
$938$	−6.91884	+	10.5622i	−0.225908	+	0.344866i
$939$	13.4009	+	23.2110i	0.437320	+	0.757461i
$940$	−13.9650	+	8.06270i	−0.455488	+	0.262976i
$941$	−1.19811	+	4.47139i	−0.0390572	+	0.145763i	−0.982701	−	0.185200i	$-0.940707\pi$
$941$	−1.19811	+	4.47139i	−0.0390572	+	0.145763i	0.943644	+	0.330963i	$0.107374\pi$
$942$	5.52414	−	5.52414i	0.179986	−	0.179986i
$943$	−3.03342	−	0.812801i	−0.0987816	−	0.0264685i
$944$	−4.93311	+	4.93311i	−0.160559	+	0.160559i
$945$	−10.2018	+	2.12622i	−0.331865	+	0.0691659i
$946$	0.0934842	−	0.0539732i	0.00303943	−	0.00175482i
$947$	23.2547	+	23.2547i	0.755675	+	0.755675i	0.975532	−	0.219857i	$-0.0705591\pi$
$947$	23.2547	+	23.2547i	0.755675	+	0.755675i	−0.219857	+	0.975532i	$0.570559\pi$
$948$	−0.420390	−	0.728137i	−0.0136536	−	0.0236488i
$949$	0.629227	−	14.7496i	0.0204256	−	0.478793i
$950$	16.7632	+	9.67823i	0.543870	+	0.314003i
$951$	−3.31452	+	12.3700i	−0.107481	+	0.401124i
$952$	−47.8477	+	42.7399i	−1.55075	+	1.38521i
$953$	−2.61428	−	1.50935i	−0.0846848	−	0.0488928i	0.457060	−	0.889436i	$-0.348903\pi$
$953$	−2.61428	−	1.50935i	−0.0846848	−	0.0488928i	−0.541744	+	0.840543i	$0.682236\pi$
$954$	−0.408356	−	1.52400i	−0.0132210	−	0.0493415i
$955$	40.8545	+	40.8545i	1.32202	+	1.32202i
$956$	4.34200	+	4.34200i	0.140430	+	0.140430i
$957$	0.840371	+	3.13631i	0.0271653	+	0.101382i
$958$	−0.700759	−	0.404583i	−0.0226405	−	0.0130715i
$959$	15.0174	−	13.4143i	0.484938	−	0.433170i
$960$	7.85171	−	29.3030i	0.253413	−	0.945749i
$961$	9.07123	+	5.23728i	0.292620	+	0.168944i
$962$	−8.05153	−	36.1473i	−0.259592	−	1.16543i
$963$	2.59676	+	4.49772i	0.0836794	+	0.144937i
$964$	−5.20815	−	5.20815i	−0.167743	−	0.167743i
$965$	−39.9757	+	23.0800i	−1.28686	+	0.742970i
$966$	18.9478	−	3.94903i	0.609637	−	0.127058i
$967$	−13.5833	+	13.5833i	−0.436809	+	0.436809i	−0.890936	−	0.454128i	$-0.849951\pi$
$967$	−13.5833	+	13.5833i	−0.436809	+	0.436809i	0.454128	+	0.890936i	$0.349951\pi$
$968$	29.7270	+	7.96533i	0.955462	+	0.256015i
$969$	−9.82520	+	9.82520i	−0.315631	+	0.315631i
$970$	12.8594	−	47.9918i	0.412889	−	1.54092i
$971$	26.0930	−	15.0648i	0.837364	−	0.483452i	−0.0190035	−	0.999819i	$-0.506049\pi$
$971$	26.0930	−	15.0648i	0.837364	−	0.483452i	0.856367	+	0.516367i	$0.172716\pi$
$972$	0.443592	+	0.768324i	0.0142282	+	0.0246440i
$973$	6.46188	−	9.86457i	0.207158	−	0.316243i
$974$		−	7.79047i		−	0.249623i
$975$	8.24187	+	37.0018i	0.263951	+	1.18501i
$976$	−8.24590	+	4.76077i	−0.263945	+	0.152389i
$977$	5.41586	+	20.2122i	0.173269	+	0.646647i	0.996840	+	0.0794347i	$0.0253115\pi$
$977$	5.41586	+	20.2122i	0.173269	+	0.646647i	−0.823571	+	0.567212i	$0.808022\pi$
$978$			4.88731i			0.156279i
$979$	−2.53674	+	4.39376i	−0.0810745	+	0.140425i
$980$	−3.63483	−	24.1894i	−0.116110	−	0.772701i
$981$	2.95407	+	11.0247i	0.0943162	+	0.351993i
$982$	−1.94806	+	7.27026i	−0.0621651	+	0.232003i
$983$	5.48673	+	1.47016i	0.174999	+	0.0468910i	0.345255	−	0.938509i	$-0.387793\pi$
$983$	5.48673	+	1.47016i	0.174999	+	0.0468910i	−0.170255	+	0.985400i	$0.554459\pi$
$984$	−1.37925			−0.0439688
$985$	−41.9391			−1.33629
$986$	−27.8382	−	7.45923i	−0.886549	−	0.237550i
$987$	−11.5965	−	3.81884i	−0.369121	−	0.121555i
$988$	0.237939	−	5.57750i	0.00756985	−	0.177444i
$989$	−0.374975	+	0.649475i	−0.0119235	+	0.0206521i
$990$	3.79763	−	1.01757i	0.120697	−	0.0323406i
$991$	26.3329	−	45.6099i	0.836492	−	1.44885i	−0.0563182	−	0.998413i	$-0.517936\pi$
$991$	26.3329	−	45.6099i	0.836492	−	1.44885i	0.892810	−	0.450433i	$-0.148731\pi$
$992$	10.3610	+	17.9457i	0.328961	+	0.569777i
$993$	−0.534490	−	0.534490i	−0.0169615	−	0.0169615i
$994$	15.8366	−	24.1759i	0.502308	−	0.766812i
$995$	80.8670	−	21.6682i	2.56366	−	0.686929i
$996$	−10.0112	+	2.68249i	−0.317216	+	0.0849979i
$997$		−	26.4946i		−	0.839092i	−0.907734	−	0.419546i	$-0.862189\pi$
$997$		−	26.4946i		−	0.839092i	0.907734	−	0.419546i	$-0.137811\pi$
$998$	19.5755	+	11.3019i	0.619653	+	0.357757i
$999$	−6.88481	+	6.88481i	−0.217826	+	0.217826i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.bt.a.145.4	✓	36
3.2	odd	2		819.2.et.c.145.6		36
7.3	odd	6		273.2.cg.a.262.4	yes	36
13.7	odd	12		273.2.cg.a.124.4	yes	36
21.17	even	6		819.2.gh.c.262.6		36
39.20	even	12		819.2.gh.c.397.6		36
91.59	even	12	inner	273.2.bt.a.241.4	yes	36
273.59	odd	12		819.2.et.c.514.6		36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bt.a.145.4	✓	36	1.1	even	1	trivial
273.2.bt.a.241.4	yes	36	91.59	even	12	inner
273.2.cg.a.124.4	yes	36	13.7	odd	12
273.2.cg.a.262.4	yes	36	7.3	odd	6
819.2.et.c.145.6		36	3.2	odd	2
819.2.et.c.514.6		36	273.59	odd	12
819.2.gh.c.262.6		36	21.17	even	6
819.2.gh.c.397.6		36	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.bt (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.745928 + 0.745928i) q^{2} +(-0.866025 - 0.500000i) q^{3} +0.887184i q^{4} +(3.80456 - 1.01943i) q^{5} +(1.01896 - 0.273028i) q^{6} +(0.148943 - 2.64156i) q^{7} +(-2.15363 - 2.15363i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\)	\(q+(-0.745928 + 0.745928i) q^{2} +(-0.866025 - 0.500000i) q^{3} +0.887184i q^{4} +(3.80456 - 1.01943i) q^{5} +(1.01896 - 0.273028i) q^{6} +(0.148943 - 2.64156i) q^{7} +(-2.15363 - 2.15363i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-2.07751 + 3.59835i) q^{10} +(-0.913987 + 0.244902i) q^{11} +(0.443592 - 0.768324i) q^{12} +(-0.783899 - 3.51930i) q^{13} +(1.85931 + 2.08151i) q^{14} +(-3.80456 - 1.01943i) q^{15} +1.43854 q^{16} +7.96173 q^{17} +(-1.01896 - 0.273028i) q^{18} +(0.451695 - 1.68575i) q^{19} +(0.904422 + 3.37535i) q^{20} +(-1.44977 + 2.21318i) q^{21} +(0.499089 - 0.864448i) q^{22} +6.93477i q^{23} +(0.788283 + 2.94191i) q^{24} +(9.10535 - 5.25697i) q^{25} +(3.20988 + 2.04041i) q^{26} -1.00000i q^{27} +(2.34355 + 0.132140i) q^{28} +(1.71573 + 2.97173i) q^{29} +(3.59835 - 2.07751i) q^{30} +(-1.17258 + 4.37613i) q^{31} +(3.23422 - 3.23422i) q^{32} +(0.913987 + 0.244902i) q^{33} +(-5.93888 + 5.93888i) q^{34} +(-2.12622 - 10.2018i) q^{35} +(-0.768324 + 0.443592i) q^{36} +(-6.88481 - 6.88481i) q^{37} +(0.920514 + 1.59438i) q^{38} +(-1.08078 + 3.43976i) q^{39} +(-10.3891 - 5.99815i) q^{40} +(-0.117207 + 0.437421i) q^{41} +(-0.569453 - 2.73229i) q^{42} +(0.0936549 + 0.0540717i) q^{43} +(-0.217273 - 0.810875i) q^{44} +(2.78513 + 2.78513i) q^{45} +(-5.17284 - 5.17284i) q^{46} +(1.19435 + 4.45738i) q^{47} +(-1.24581 - 0.719268i) q^{48} +(-6.95563 - 0.786882i) q^{49} +(-2.87061 + 10.7132i) q^{50} +(-6.89506 - 3.98087i) q^{51} +(3.12227 - 0.695463i) q^{52} +(0.747827 + 1.29527i) q^{53} +(0.745928 + 0.745928i) q^{54} +(-3.22766 + 1.86349i) q^{55} +(-6.00970 + 5.36817i) q^{56} +(-1.23405 + 1.23405i) q^{57} +(-3.49650 - 0.936885i) q^{58} +(-3.42925 + 3.42925i) q^{59} +(0.904422 - 3.37535i) q^{60} +(-5.73215 + 3.30946i) q^{61} +(-2.38961 - 4.13893i) q^{62} +(2.36213 - 1.19179i) q^{63} +7.70205i q^{64} +(-6.57008 - 12.5903i) q^{65} +(-0.864448 + 0.499089i) q^{66} +(1.17090 + 4.36986i) q^{67} +7.06353i q^{68} +(3.46739 - 6.00569i) q^{69} +(9.19581 + 6.02380i) q^{70} +(-2.68009 - 10.0022i) q^{71} +(0.788283 - 2.94191i) q^{72} +(3.95501 + 1.05974i) q^{73} +10.2711 q^{74} -10.5139 q^{75} +(1.49557 + 0.400736i) q^{76} +(0.510791 + 2.45082i) q^{77} +(-1.75963 - 3.37199i) q^{78} +(0.473848 - 0.820728i) q^{79} +(5.47300 - 1.46649i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-0.238857 - 0.413712i) q^{82} +(-8.26062 - 8.26062i) q^{83} +(-1.96350 - 1.28621i) q^{84} +(30.2909 - 8.11643i) q^{85} +(-0.110193 + 0.0295262i) q^{86} -3.43145i q^{87} +(2.49582 + 1.44096i) q^{88} +(3.79135 - 3.79135i) q^{89} -4.15502 q^{90} +(-9.41319 + 1.54654i) q^{91} -6.15242 q^{92} +(3.20355 - 3.20355i) q^{93} +(-4.21578 - 2.43398i) q^{94} -6.87400i q^{95} +(-4.41802 + 1.18381i) q^{96} +(-11.5503 + 3.09490i) q^{97} +(5.77535 - 4.60144i) q^{98} +(-0.669085 - 0.669085i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 36 q + 6 q^{7} + 18 q^{9}+O(q^{10}) \) 36 * q + 6 * q^7 + 18 * q^9	\( 36 q + 6 q^{7} + 18 q^{9} - 8 q^{11} - 16 q^{12} + 42 q^{14} - 24 q^{16} - 8 q^{17} - 18 q^{19} + 14 q^{20} - 4 q^{21} + 4 q^{22} + 18 q^{24} + 24 q^{25} - 50 q^{26} + 34 q^{28} + 8 q^{29} + 6 q^{31} - 50 q^{32} + 8 q^{33} - 24 q^{34} + 14 q^{35} - 14 q^{37} - 8 q^{38} - 2 q^{39} - 30 q^{40} + 34 q^{41} - 18 q^{42} + 30 q^{43} + 28 q^{44} - 32 q^{46} - 10 q^{47} + 24 q^{48} + 6 q^{49} - 20 q^{50} - 24 q^{51} + 4 q^{52} - 8 q^{53} - 30 q^{55} - 92 q^{56} - 24 q^{57} + 72 q^{58} - 70 q^{59} + 14 q^{60} - 60 q^{61} - 48 q^{62} + 6 q^{63} - 44 q^{65} + 18 q^{66} - 46 q^{67} + 4 q^{69} + 80 q^{70} + 42 q^{71} + 18 q^{72} - 56 q^{73} + 40 q^{74} - 20 q^{75} + 12 q^{76} + 24 q^{77} - 16 q^{78} + 170 q^{80} - 18 q^{81} + 24 q^{82} - 60 q^{83} + 2 q^{85} + 12 q^{86} + 84 q^{88} + 64 q^{89} - 86 q^{91} - 100 q^{92} + 12 q^{93} - 66 q^{94} + 46 q^{96} + 36 q^{97} - 22 q^{98} - 4 q^{99}+O(q^{100}) \) 36 * q + 6 * q^7 + 18 * q^9 - 8 * q^11 - 16 * q^12 + 42 * q^14 - 24 * q^16 - 8 * q^17 - 18 * q^19 + 14 * q^20 - 4 * q^21 + 4 * q^22 + 18 * q^24 + 24 * q^25 - 50 * q^26 + 34 * q^28 + 8 * q^29 + 6 * q^31 - 50 * q^32 + 8 * q^33 - 24 * q^34 + 14 * q^35 - 14 * q^37 - 8 * q^38 - 2 * q^39 - 30 * q^40 + 34 * q^41 - 18 * q^42 + 30 * q^43 + 28 * q^44 - 32 * q^46 - 10 * q^47 + 24 * q^48 + 6 * q^49 - 20 * q^50 - 24 * q^51 + 4 * q^52 - 8 * q^53 - 30 * q^55 - 92 * q^56 - 24 * q^57 + 72 * q^58 - 70 * q^59 + 14 * q^60 - 60 * q^61 - 48 * q^62 + 6 * q^63 - 44 * q^65 + 18 * q^66 - 46 * q^67 + 4 * q^69 + 80 * q^70 + 42 * q^71 + 18 * q^72 - 56 * q^73 + 40 * q^74 - 20 * q^75 + 12 * q^76 + 24 * q^77 - 16 * q^78 + 170 * q^80 - 18 * q^81 + 24 * q^82 - 60 * q^83 + 2 * q^85 + 12 * q^86 + 84 * q^88 + 64 * q^89 - 86 * q^91 - 100 * q^92 + 12 * q^93 - 66 * q^94 + 46 * q^96 + 36 * q^97 - 22 * q^98 - 4 * q^99

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