LMFDB - Embedded newform 756.2.ci.a.95.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [756,2,Mod(95,756)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(756, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 17, 12]))

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

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

chi := DirichletCharacter("756.95");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 756 = 2^{2} \cdot 3^{3} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	756.ci (of order $18$, degree $6$, 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:	$6.03669039281$
Analytic rank:	$0$
Dimension:	$840$
Relative dimension:	$140$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			95.6
Character	$\chi$	$=$	756.95
Dual form			756.2.ci.a.191.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.40027 - 0.198086i) q^{2} +(0.186948 + 1.72193i) q^{3} +(1.92152 + 0.554748i) q^{4} +(-2.73494 - 0.482245i) q^{5} +(0.0793128 - 2.44821i) q^{6} +(0.265748 + 2.63237i) q^{7} +(-2.58077 - 1.15742i) q^{8} +(-2.93010 + 0.643822i) q^{9} +O(q^{10})$	\(q+(-1.40027 - 0.198086i) q^{2} +(0.186948 + 1.72193i) q^{3} +(1.92152 + 0.554748i) q^{4} +(-2.73494 - 0.482245i) q^{5} +(0.0793128 - 2.44821i) q^{6} +(0.265748 + 2.63237i) q^{7} +(-2.58077 - 1.15742i) q^{8} +(-2.93010 + 0.643822i) q^{9} +(3.73414 + 1.21703i) q^{10} +(0.495598 + 2.81068i) q^{11} +(-0.596014 + 3.41244i) q^{12} +(0.0838757 - 0.475682i) q^{13} +(0.149315 - 3.73868i) q^{14} +(0.319101 - 4.79954i) q^{15} +(3.38451 + 2.13192i) q^{16} +(-0.398586 + 0.230124i) q^{17} +(4.23047 - 0.321115i) q^{18} +(-0.712107 - 0.411135i) q^{19} +(-4.98774 - 2.44385i) q^{20} +(-4.48308 + 0.949716i) q^{21} +(-0.137217 - 4.03388i) q^{22} +(-2.03409 - 1.70681i) q^{23} +(1.51054 - 4.66029i) q^{24} +(2.54890 + 0.927724i) q^{25} +(-0.211675 + 0.649470i) q^{26} +(-1.65639 - 4.92507i) q^{27} +(-0.949661 + 5.20559i) q^{28} +(-1.67448 + 0.295256i) q^{29} +(-1.39755 + 6.65746i) q^{30} +(-1.59930 - 0.282000i) q^{31} +(-4.31693 - 3.65570i) q^{32} +(-4.74714 + 1.37884i) q^{33} +(0.603713 - 0.243282i) q^{34} +(0.542640 - 7.32755i) q^{35} +(-5.98742 - 0.388348i) q^{36} +6.08518 q^{37} +(0.915704 + 0.716759i) q^{38} +(0.834773 + 0.0555005i) q^{39} +(6.50010 + 4.41005i) q^{40} +(-6.43592 - 1.13483i) q^{41} +(6.46566 - 0.441826i) q^{42} +(-2.91898 - 3.47870i) q^{43} +(-0.606913 + 5.67571i) q^{44} +(8.32414 - 0.347793i) q^{45} +(2.51019 + 2.79292i) q^{46} +(-0.159078 - 0.902176i) q^{47} +(-3.03830 + 6.22645i) q^{48} +(-6.85876 + 1.39910i) q^{49} +(-3.38538 - 1.80397i) q^{50} +(-0.470772 - 0.643317i) q^{51} +(0.425053 - 0.867505i) q^{52} +(-0.119086 - 0.0687544i) q^{53} +(1.34381 + 7.22455i) q^{54} -7.92604i q^{55} +(2.36094 - 7.10113i) q^{56} +(0.574820 - 1.30306i) q^{57} +(2.40322 - 0.0817482i) q^{58} +(10.9505 - 3.98565i) q^{59} +(3.27570 - 9.04542i) q^{60} +(-1.93115 - 10.9521i) q^{61} +(2.18360 + 0.711676i) q^{62} +(-2.47345 - 7.54202i) q^{63} +(5.32074 + 5.97409i) q^{64} +(-0.458791 + 1.26052i) q^{65} +(6.92042 - 0.990403i) q^{66} +(-7.10388 + 8.46608i) q^{67} +(-0.893553 + 0.221074i) q^{68} +(2.55874 - 3.82165i) q^{69} +(-2.21133 + 10.1531i) q^{70} +(6.64160 - 11.5036i) q^{71} +(8.30709 + 1.72982i) q^{72} -4.16754 q^{73} +(-8.52090 - 1.20539i) q^{74} +(-1.12097 + 4.56247i) q^{75} +(-1.14025 - 1.18505i) q^{76} +(-7.26704 + 2.05153i) q^{77} +(-1.15792 - 0.243073i) q^{78} +(-5.51551 - 6.57313i) q^{79} +(-8.22834 - 7.46285i) q^{80} +(8.17099 - 3.77293i) q^{81} +(8.78724 + 2.86393i) q^{82} +(1.76480 + 10.0087i) q^{83} +(-9.14121 - 0.662080i) q^{84} +(1.20109 - 0.437160i) q^{85} +(3.39828 + 5.44934i) q^{86} +(-0.821452 - 2.82815i) q^{87} +(1.97412 - 7.82732i) q^{88} +(-14.7773 - 8.53166i) q^{89} +(-11.7250 - 1.16189i) q^{90} +(1.27446 + 0.0943801i) q^{91} +(-2.96171 - 4.40808i) q^{92} +(0.186599 - 2.80661i) q^{93} +(0.0440442 + 1.29480i) q^{94} +(1.74931 + 1.46784i) q^{95} +(5.48782 - 8.11689i) q^{96} +(-11.9913 + 10.0619i) q^{97} +(9.88127 - 0.600493i) q^{98} +(-3.26173 - 7.91649i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 840 q - 3 q^{2} - 3 q^{4} - 6 q^{5} - 12 q^{6} - 18 q^{8} - 6 q^{9}+O(q^{10}) $ 840 * q - 3 * q^2 - 3 * q^4 - 6 * q^5 - 12 * q^6 - 18 * q^8 - 6 * q^9	$ 840 q - 3 q^{2} - 3 q^{4} - 6 q^{5} - 12 q^{6} - 18 q^{8} - 6 q^{9} + 3 q^{10} - 3 q^{12} - 24 q^{13} + 24 q^{14} - 3 q^{16} - 18 q^{17} - 3 q^{18} - 12 q^{20} - 12 q^{21} - 12 q^{22} + 48 q^{24} - 6 q^{25} - 12 q^{28} - 12 q^{29} - 21 q^{30} - 63 q^{32} - 6 q^{33} - 6 q^{34} - 42 q^{36} - 12 q^{37} + 45 q^{38} - 33 q^{40} - 24 q^{41} - 21 q^{42} + 6 q^{45} - 6 q^{46} - 78 q^{48} - 12 q^{49} - 27 q^{50} - 3 q^{52} + 39 q^{54} - 27 q^{56} - 6 q^{57} - 3 q^{58} - 63 q^{60} - 6 q^{61} - 117 q^{62} - 6 q^{64} - 54 q^{65} - 3 q^{66} - 12 q^{68} - 48 q^{69} - 21 q^{70} - 9 q^{72} - 12 q^{73} + 15 q^{74} + 12 q^{77} + 6 q^{78} - 54 q^{81} - 6 q^{82} - 39 q^{84} + 6 q^{85} - 9 q^{86} - 27 q^{88} - 18 q^{89} - 39 q^{90} + 48 q^{92} - 6 q^{93} - 3 q^{94} + 213 q^{96} - 24 q^{97} + 162 q^{98}+O(q^{100}) $ 840 * q - 3 * q^2 - 3 * q^4 - 6 * q^5 - 12 * q^6 - 18 * q^8 - 6 * q^9 + 3 * q^10 - 3 * q^12 - 24 * q^13 + 24 * q^14 - 3 * q^16 - 18 * q^17 - 3 * q^18 - 12 * q^20 - 12 * q^21 - 12 * q^22 + 48 * q^24 - 6 * q^25 - 12 * q^28 - 12 * q^29 - 21 * q^30 - 63 * q^32 - 6 * q^33 - 6 * q^34 - 42 * q^36 - 12 * q^37 + 45 * q^38 - 33 * q^40 - 24 * q^41 - 21 * q^42 + 6 * q^45 - 6 * q^46 - 78 * q^48 - 12 * q^49 - 27 * q^50 - 3 * q^52 + 39 * q^54 - 27 * q^56 - 6 * q^57 - 3 * q^58 - 63 * q^60 - 6 * q^61 - 117 * q^62 - 6 * q^64 - 54 * q^65 - 3 * q^66 - 12 * q^68 - 48 * q^69 - 21 * q^70 - 9 * q^72 - 12 * q^73 + 15 * q^74 + 12 * q^77 + 6 * q^78 - 54 * q^81 - 6 * q^82 - 39 * q^84 + 6 * q^85 - 9 * q^86 - 27 * q^88 - 18 * q^89 - 39 * q^90 + 48 * q^92 - 6 * q^93 - 3 * q^94 + 213 * q^96 - 24 * q^97 + 162 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/756\mathbb{Z}\right)^\times$.

$n$	$29$	$325$	$379$
$\chi(n)$	$e\left(\frac{17}{18}\right)$	$e\left(\frac{2}{3}\right)$	$-1$

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 $

$2$	−1.40027	−	0.198086i	−0.990142	−	0.140068i
$2$	−1.40027	−	0.198086i	−0.990142	−	0.140068i
$3$	0.186948	+	1.72193i	0.107934	+	0.994158i
$3$	0.186948	+	1.72193i	0.107934	+	0.994158i
$4$	1.92152	+	0.554748i	0.960762	+	0.277374i
$5$	−2.73494	−	0.482245i	−1.22310	−	0.215666i	−0.475443	−	0.879746i	$-0.657712\pi$
$5$	−2.73494	−	0.482245i	−1.22310	−	0.215666i	−0.747661	+	0.664080i	$0.768823\pi$
$6$	0.0793128	−	2.44821i	0.0323793	−	0.999476i
$7$	0.265748	+	2.63237i	0.100443	+	0.994943i
$7$	0.265748	+	2.63237i	0.100443	+	0.994943i
$8$	−2.58077	−	1.15742i	−0.912440	−	0.409211i
$9$	−2.93010	+	0.643822i	−0.976700	+	0.214607i
$10$	3.73414	+	1.21703i	1.18084	+	0.384858i
$11$	0.495598	+	2.81068i	0.149428	+	0.847451i	0.963704	+	0.266972i	$0.0860233\pi$
$11$	0.495598	+	2.81068i	0.149428	+	0.847451i	−0.814276	+	0.580478i	$0.802866\pi$
$12$	−0.596014	+	3.41244i	−0.172054	+	0.985087i
$13$	0.0838757	−	0.475682i	0.0232629	−	0.131931i	−0.970965	−	0.239223i	$-0.923107\pi$
$13$	0.0838757	−	0.475682i	0.0232629	−	0.131931i	0.994227	+	0.107293i	$0.0342183\pi$
$14$	0.149315	−	3.73868i	0.0399062	−	0.999203i
$15$	0.319101	−	4.79954i	0.0823915	−	1.23924i
$16$	3.38451	+	2.13192i	0.846127	+	0.532981i
$17$	−0.398586	+	0.230124i	−0.0966713	+	0.0558132i	−0.547556	−	0.836769i	$-0.684442\pi$
$17$	−0.398586	+	0.230124i	−0.0966713	+	0.0558132i	0.450885	+	0.892582i	$0.351108\pi$
$18$	4.23047	−	0.321115i	0.997132	−	0.0756875i
$19$	−0.712107	−	0.411135i	−0.163369	−	0.0943209i	0.416087	−	0.909325i	$-0.363401\pi$
$19$	−0.712107	−	0.411135i	−0.163369	−	0.0943209i	−0.579455	+	0.815004i	$0.696735\pi$
$20$	−4.98774	−	2.44385i	−1.11529	−	0.546461i
$21$	−4.48308	+	0.949716i	−0.978289	+	0.207245i
$22$	−0.137217	−	4.03388i	−0.0292548	−	0.860027i
$23$	−2.03409	−	1.70681i	−0.424138	−	0.355894i	0.405597	−	0.914052i	$-0.367064\pi$
$23$	−2.03409	−	1.70681i	−0.424138	−	0.355894i	−0.829734	+	0.558158i	$0.811508\pi$
$24$	1.51054	−	4.66029i	0.308337	−	0.951277i
$25$	2.54890	+	0.927724i	0.509780	+	0.185545i
$26$	−0.211675	+	0.649470i	−0.0415128	+	0.127372i
$27$	−1.65639	−	4.92507i	−0.318773	−	0.947831i
$28$	−0.949661	+	5.20559i	−0.179469	+	0.983764i
$29$	−1.67448	+	0.295256i	−0.310943	+	0.0548277i	−0.326942	−	0.945044i	$-0.606018\pi$
$29$	−1.67448	+	0.295256i	−0.310943	+	0.0548277i	0.0159989	+	0.999872i	$0.494907\pi$
$30$	−1.39755	+	6.65746i	−0.255156	+	1.21548i
$31$	−1.59930	−	0.282000i	−0.287243	−	0.0506487i	0.0281700	−	0.999603i	$-0.491032\pi$
$31$	−1.59930	−	0.282000i	−0.287243	−	0.0506487i	−0.315413	+	0.948954i	$0.602143\pi$
$32$	−4.31693	−	3.65570i	−0.763133	−	0.646242i
$33$	−4.74714	+	1.37884i	−0.826372	+	0.240024i
$34$	0.603713	−	0.243282i	0.103536	−	0.0417225i
$35$	0.542640	−	7.32755i	0.0917229	−	1.23858i
$36$	−5.98742	−	0.388348i	−0.997903	−	0.0647246i
$37$	6.08518			1.00040			0.500198	−	0.865911i	$-0.333260\pi$
$37$	6.08518			1.00040			0.500198	+	0.865911i	$0.333260\pi$
$38$	0.915704	+	0.716759i	0.148547	+	0.116274i
$39$	0.834773	+	0.0555005i	0.133671	+	0.00888719i
$40$	6.50010	+	4.41005i	1.02776	+	0.697291i
$41$	−6.43592	−	1.13483i	−1.00512	−	0.177230i	−0.353225	−	0.935538i	$-0.614915\pi$
$41$	−6.43592	−	1.13483i	−1.00512	−	0.177230i	−0.651896	+	0.758308i	$0.726026\pi$
$42$	6.46566	−	0.441826i	0.997673	−	0.0681752i
$43$	−2.91898	−	3.47870i	−0.445140	−	0.530497i	0.496087	−	0.868273i	$-0.334770\pi$
$43$	−2.91898	−	3.47870i	−0.445140	−	0.530497i	−0.941226	+	0.337776i	$0.890325\pi$
$44$	−0.606913	+	5.67571i	−0.0914956	+	0.855646i
$45$	8.32414	−	0.347793i	1.24089	−	0.0518459i
$46$	2.51019	+	2.79292i	0.370107	+	0.411793i
$47$	−0.159078	−	0.902176i	−0.0232039	−	0.131596i	0.971005	−	0.239058i	$-0.0768386\pi$
$47$	−0.159078	−	0.902176i	−0.0232039	−	0.131596i	−0.994209	+	0.107462i	$0.965728\pi$
$48$	−3.03830	+	6.22645i	−0.438541	+	0.898711i
$49$	−6.85876	+	1.39910i	−0.979822	+	0.199871i
$50$	−3.38538	−	1.80397i	−0.478766	−	0.255119i
$51$	−0.470772	−	0.643317i	−0.0659213	−	0.0900824i
$52$	0.425053	−	0.867505i	0.0589442	−	0.120301i
$53$	−0.119086	−	0.0687544i	−0.0163577	−	0.00944415i	0.491799	−	0.870709i	$-0.336340\pi$
$53$	−0.119086	−	0.0687544i	−0.0163577	−	0.00944415i	−0.508157	+	0.861265i	$0.669673\pi$
$54$	1.34381	+	7.22455i	0.182870	+	0.983137i
$55$		−	7.92604i		−	1.06875i
$56$	2.36094	−	7.10113i	0.315493	−	0.948928i
$57$	0.574820	−	1.30306i	0.0761368	−	0.172595i
$58$	2.40322	−	0.0817482i	0.315558	−	0.0107341i
$59$	10.9505	−	3.98565i	1.42563	−	0.518888i	0.489956	−	0.871747i	$-0.337013\pi$
$59$	10.9505	−	3.98565i	1.42563	−	0.518888i	0.935676	+	0.352860i	$0.114791\pi$
$60$	3.27570	−	9.04542i	0.422891	−	1.16776i
$61$	−1.93115	−	10.9521i	−0.247259	−	1.40227i	−0.815188	−	0.579197i	$-0.803366\pi$
$61$	−1.93115	−	10.9521i	−0.247259	−	1.40227i	0.567929	−	0.823078i	$-0.307745\pi$
$62$	2.18360	+	0.711676i	0.277317	+	0.0903830i
$63$	−2.47345	−	7.54202i	−0.311625	−	0.950205i
$64$	5.32074	+	5.97409i	0.665092	+	0.746761i
$65$	−0.458791	+	1.26052i	−0.0569060	+	0.156348i
$66$	6.92042	−	0.990403i	0.851845	−	0.121910i
$67$	−7.10388	+	8.46608i	−0.867877	+	1.03430i	0.131200	+	0.991356i	$0.458117\pi$
$67$	−7.10388	+	8.46608i	−0.867877	+	1.03430i	−0.999078	+	0.0429401i	$0.986328\pi$
$68$	−0.893553	+	0.221074i	−0.108359	+	0.0268091i
$69$	2.55874	−	3.82165i	0.308036	−	0.460073i
$70$	−2.21133	+	10.1531i	−0.264304	+	1.21352i
$71$	6.64160	−	11.5036i	0.788213	−	1.36522i	−0.138848	−	0.990314i	$-0.544340\pi$
$71$	6.64160	−	11.5036i	0.788213	−	1.36522i	0.927061	−	0.374911i	$-0.122327\pi$
$72$	8.30709	+	1.72982i	0.979000	+	0.203861i
$73$	−4.16754			−0.487773			−0.243887	−	0.969804i	$-0.578422\pi$
$73$	−4.16754			−0.487773			−0.243887	+	0.969804i	$0.578422\pi$
$74$	−8.52090	−	1.20539i	−0.990535	−	0.140123i
$75$	−1.12097	+	4.56247i	−0.129438	+	0.526828i
$76$	−1.14025	−	1.18505i	−0.130796	−	0.135934i
$77$	−7.26704	+	2.05153i	−0.828156	+	0.233794i
$78$	−1.15792	−	0.243073i	−0.131108	−	0.0275225i
$79$	−5.51551	−	6.57313i	−0.620543	−	0.739534i	0.360621	−	0.932713i	$-0.382565\pi$
$79$	−5.51551	−	6.57313i	−0.620543	−	0.739534i	−0.981164	+	0.193178i	$0.938120\pi$
$80$	−8.22834	−	7.46285i	−0.919956	−	0.834372i
$81$	8.17099	−	3.77293i	0.907887	−	0.419214i
$82$	8.78724	+	2.86393i	0.970388	+	0.316268i
$83$	1.76480	+	10.0087i	0.193712	+	1.09859i	0.914241	+	0.405170i	$0.132788\pi$
$83$	1.76480	+	10.0087i	0.193712	+	1.09859i	−0.720530	+	0.693424i	$0.756101\pi$
$84$	−9.14121	−	0.662080i	−0.997387	−	0.0722388i
$85$	1.20109	−	0.437160i	0.130276	−	0.0474166i
$86$	3.39828	+	5.44934i	0.366446	+	0.587617i
$87$	−0.821452	−	2.82815i	−0.0880689	−	0.303209i
$88$	1.97412	−	7.82732i	0.210442	−	0.834395i
$89$	−14.7773	−	8.53166i	−1.56639	−	0.904354i	−0.996585	−	0.0825717i	$-0.973687\pi$
$89$	−14.7773	−	8.53166i	−1.56639	−	0.904354i	−0.569802	−	0.821782i	$-0.692980\pi$
$90$	−11.7250	−	1.16189i	−1.23592	−	0.122474i
$91$	1.27446	+	0.0943801i	0.133600	+	0.00989372i
$92$	−2.96171	−	4.40808i	−0.308780	−	0.459574i
$93$	0.186599	−	2.80661i	0.0193495	−	0.291032i
$94$	0.0440442	+	1.29480i	0.00454281	+	0.133549i
$95$	1.74931	+	1.46784i	0.179475	+	0.150597i
$96$	5.48782	−	8.11689i	0.560098	−	0.828426i
$97$	−11.9913	+	10.0619i	−1.21753	+	1.02163i	−0.218578	+	0.975819i	$0.570142\pi$
$97$	−11.9913	+	10.0619i	−1.21753	+	1.02163i	−0.998950	+	0.0458080i	$0.985414\pi$
$98$	9.88127	−	0.600493i	0.998159	−	0.0606590i
$99$	−3.26173	−	7.91649i	−0.327816	−	0.795637i
$100$	4.38312	+	3.19664i	0.438312	+	0.319664i
$101$	−2.35113	−	2.80197i	−0.233946	−	0.278806i	0.636281	−	0.771458i	$-0.280472\pi$
$101$	−2.35113	−	2.80197i	−0.233946	−	0.278806i	−0.870227	+	0.492652i	$0.836028\pi$
$102$	0.531777	+	0.994072i	0.0526538	+	0.0984278i
$103$	−9.43251	−	1.66321i	−0.929413	−	0.163881i	−0.311607	−	0.950211i	$-0.600867\pi$
$103$	−9.43251	−	1.66321i	−0.929413	−	0.163881i	−0.617806	+	0.786331i	$0.711978\pi$
$104$	−0.767030	+	1.13055i	−0.0752135	+	0.110859i
$105$	12.7190	−	0.435478i	1.24125	−	0.0424983i
$106$	0.153134	+	0.119864i	0.0148737	+	0.0116422i
$107$	8.44948	+	14.6349i	0.816842	+	1.41481i	0.907997	+	0.418976i	$0.137611\pi$
$107$	8.44948	+	14.6349i	0.816842	+	1.41481i	−0.0911551	+	0.995837i	$0.529056\pi$
$108$	−0.450625	−	10.3825i	−0.0433614	−	0.999059i
$109$	1.72796	−	2.99292i	0.165509	−	0.286670i	−0.771327	−	0.636439i	$-0.780407\pi$
$109$	1.72796	−	2.99292i	0.165509	−	0.286670i	0.936836	+	0.349769i	$0.113740\pi$
$110$	−1.57004	+	11.0986i	−0.149697	+	1.05821i
$111$	1.13761	+	10.4783i	0.107977	+	0.994553i
$112$	−4.71259	+	9.47584i	−0.445297	+	0.895383i
$113$	−12.2419	+	14.5893i	−1.15162	+	1.37245i	−0.235340	+	0.971913i	$0.575620\pi$
$113$	−12.2419	+	14.5893i	−1.15162	+	1.37245i	−0.916281	+	0.400536i	$0.868824\pi$
$114$	−1.06302	+	1.71078i	−0.0995612	+	0.160229i
$115$	4.74003	+	5.64895i	0.442010	+	0.526768i
$116$	−3.38135	−	0.361573i	−0.313950	−	0.0335712i
$117$	0.0604908	+	1.44780i	0.00559238	+	0.133849i
$118$	−16.1232	+	3.41186i	−1.48426	+	0.314087i
$119$	−0.711695	−	0.988071i	−0.0652409	−	0.0905764i
$120$	−6.37864	+	12.0172i	−0.582287	+	1.09701i
$121$	2.68233	−	0.976290i	0.243849	−	0.0887536i
$122$	0.534682	+	15.7185i	0.0484078	+	1.42308i
$123$	0.750914	−	11.2944i	0.0677076	−	1.01838i
$124$	−2.91666	−	1.42908i	−0.261924	−	0.128335i
$125$	5.50164	+	3.17637i	0.492082	+	0.284103i
$126$	1.96953	+	11.0508i	0.175460	+	0.984487i
$127$	−1.12905	+	0.651855i	−0.100187	+	0.0578428i	−0.549256	−	0.835654i	$-0.685089\pi$
$127$	−1.12905	+	0.651855i	−0.100187	+	0.0578428i	0.449070	+	0.893497i	$0.351756\pi$
$128$	−6.26710	−	9.41932i	−0.553938	−	0.832558i
$129$	5.44439	−	5.67661i	0.479352	−	0.499798i
$130$	0.892122	−	1.67419i	0.0782443	−	0.146836i
$131$	−16.9713	−	14.2406i	−1.48279	−	1.24421i	−0.903143	−	0.429341i	$-0.858746\pi$
$131$	−16.9713	−	14.2406i	−1.48279	−	1.24421i	−0.579647	−	0.814868i	$-0.696810\pi$
$132$	−9.88666	+	0.0159974i	−0.860523	+	0.00139240i
$133$	0.893019	−	1.98379i	0.0774346	−	0.172016i
$134$	11.6244	−	10.4476i	1.00419	−	0.902538i
$135$	2.15505	+	14.2686i	0.185478	+	1.22805i
$136$	1.29501	−	0.132563i	0.111046	−	0.0113672i
$137$	1.41197	−	3.87935i	0.120632	−	0.331435i	−0.864649	−	0.502377i	$-0.832459\pi$
$137$	1.41197	−	3.87935i	0.120632	−	0.331435i	0.985281	+	0.170942i	$0.0546811\pi$
$138$	−4.33994	+	4.84451i	−0.369441	+	0.412392i
$139$	1.85041	+	5.08395i	0.156949	+	0.431215i	0.993098	−	0.117288i	$-0.0374201\pi$
$139$	1.85041	+	5.08395i	0.156949	+	0.431215i	−0.836149	+	0.548503i	$0.815198\pi$
$140$	5.10764	−	13.7790i	0.431674	−	1.16454i
$141$	1.52375	−	0.442581i	0.128323	−	0.0372721i
$142$	−11.5787	+	14.7925i	−0.971666	+	1.24136i
$143$	1.37856			0.115281
$144$	−11.2895	−	4.06773i	−0.940795	−	0.338977i
$145$	4.72200			0.392141
$146$	5.83568	+	0.825530i	0.482965	+	0.0683213i
$147$	−3.69138	−	11.5488i	−0.304460	−	0.952525i
$148$	11.6928	+	3.37574i	0.961143	+	0.277484i
$149$	6.49493	+	17.8447i	0.532085	+	1.46189i	0.856585	+	0.516006i	$0.172582\pi$
$149$	6.49493	+	17.8447i	0.532085	+	1.46189i	−0.324500	+	0.945886i	$0.605196\pi$
$150$	2.47342	−	6.16665i	0.201954	−	0.503505i
$151$	18.4172	−	3.24746i	1.49877	−	0.264274i	0.636722	−	0.771094i	$-0.280290\pi$
$151$	18.4172	−	3.24746i	1.49877	−	0.264274i	0.862052	+	0.506819i	$0.169179\pi$
$152$	1.36193	+	1.88526i	0.110467	+	0.152914i
$153$	1.01974	−	0.930904i	0.0824410	−	0.0752592i
$154$	10.5822	−	1.43320i	0.852739	−	0.115491i
$155$	4.23801	+	1.54251i	0.340405	+	0.123897i
$156$	1.57325	+	0.569734i	0.125961	+	0.0456153i
$157$	−18.5501	+	6.75167i	−1.48046	+	0.538842i	−0.950917	−	0.309445i	$-0.899857\pi$
$157$	−18.5501	+	6.75167i	−1.48046	+	0.538842i	−0.529538	+	0.848286i	$0.677635\pi$
$158$	6.42117	+	10.2967i	0.510841	+	0.819162i
$159$	0.0961276	−	0.217912i	0.00762342	−	0.0172815i
$160$	10.0436	+	12.0799i	0.794018	+	0.955003i
$161$	3.95239	−	5.80807i	0.311492	−	0.457740i
$162$	−12.1890	+	3.66457i	−0.957656	+	0.287916i
$163$	16.4455	−	9.49479i	1.28811	−	0.743689i	0.309791	−	0.950805i	$-0.399741\pi$
$163$	16.4455	−	9.49479i	1.28811	−	0.743689i	0.978317	+	0.207115i	$0.0664075\pi$
$164$	−11.7372	−	5.75091i	−0.916523	−	0.449070i
$165$	13.6481	−	1.48175i	1.06250	−	0.115354i
$166$	−0.488623	−	14.3644i	−0.0379245	−	1.11490i
$167$	12.7901	+	10.7321i	0.989725	+	0.830478i	0.985528	−	0.169513i	$-0.0542195\pi$
$167$	12.7901	+	10.7321i	0.989725	+	0.830478i	0.00419727	+	0.999991i	$0.498664\pi$
$168$	12.6690	+	2.73783i	0.977437	+	0.211229i
$169$	11.9968	+	4.36647i	0.922828	+	0.335882i
$170$	−1.76844	+	0.374224i	−0.135633	+	0.0287017i
$171$	2.35124	+	0.746197i	0.179804	+	0.0570631i
$172$	−3.67908	−	8.30370i	−0.280527	−	0.633151i
$173$	1.34035	−	3.68259i	0.101905	−	0.279982i	−0.878254	−	0.478194i	$-0.841291\pi$
$173$	1.34035	−	3.68259i	0.101905	−	0.279982i	0.980159	+	0.198213i	$0.0635136\pi$
$174$	0.590040	+	4.12289i	0.0447308	+	0.312556i
$175$	−1.76475	+	6.95619i	−0.133402	+	0.525839i
$176$	−4.31479	+	10.5693i	−0.325240	+	0.796694i
$177$	8.91019	+	18.1109i	0.669731	+	1.36130i
$178$	19.0022	+	14.8738i	1.42427	+	1.11484i
$179$	7.17252	+	12.4232i	0.536099	+	0.928551i	0.999109	+	0.0421978i	$0.0134360\pi$
$179$	7.17252	+	12.4232i	0.536099	+	0.928551i	−0.463010	+	0.886353i	$0.653231\pi$
$180$	16.1880	+	3.94951i	1.20658	+	0.294379i
$181$	−9.49675	−	16.4488i	−0.705888	−	1.22263i	−0.966370	−	0.257155i	$-0.917215\pi$
$181$	−9.49675	−	16.4488i	−0.705888	−	1.22263i	0.260483	−	0.965479i	$-0.416118\pi$
$182$	−1.76590	−	0.384611i	−0.130897	−	0.0285092i
$183$	18.4978	−	5.37279i	1.36739	−	0.397168i
$184$	3.27402	+	6.75918i	0.241364	+	0.498294i
$185$	−16.6426	−	2.93454i	−1.22359	−	0.215752i
$186$	−0.817240	+	3.89306i	−0.0599229	+	0.285453i
$187$	−0.844342	−	1.00625i	−0.0617444	−	0.0735841i
$188$	0.194808	−	1.82180i	0.0142078	−	0.132869i
$189$	12.5244	−	5.66907i	0.911019	−	0.412364i
$190$	−2.15875	−	2.40189i	−0.156612	−	0.174251i
$191$	−18.1814	+	15.2560i	−1.31556	+	1.10389i	−0.328335	+	0.944561i	$0.606487\pi$
$191$	−18.1814	+	15.2560i	−1.31556	+	1.10389i	−0.987226	+	0.159325i	$0.949068\pi$
$192$	−9.29228	+	10.2788i	−0.670613	+	0.741808i
$193$	−3.23940	+	18.3716i	−0.233177	+	1.32241i	0.613241	+	0.789896i	$0.289865\pi$
$193$	−3.23940	+	18.3716i	−0.233177	+	1.32241i	−0.846418	+	0.532518i	$0.821246\pi$
$194$	18.7841	−	11.7140i	1.34862	−	0.841020i
$195$	−2.25629	−	0.554356i	−0.161577	−	0.0396982i
$196$	−13.9554	−	1.11648i	−0.996815	−	0.0797489i
$197$	−8.38429	+	4.84067i	−0.597356	+	0.344884i	−0.768001	−	0.640449i	$-0.778748\pi$
$197$	−8.38429	+	4.84067i	−0.597356	+	0.344884i	0.170645	+	0.985333i	$0.445415\pi$
$198$	2.99916	+	11.7313i	0.213141	+	0.833710i
$199$	−1.42803	+	0.824474i	−0.101230	+	0.0584454i	−0.549761	−	0.835322i	$-0.685281\pi$
$199$	−1.42803	+	0.824474i	−0.101230	+	0.0584454i	0.448530	+	0.893768i	$0.351948\pi$
$200$	−5.50435	−	5.34440i	−0.389216	−	0.377906i
$201$	−15.9061	−	10.6497i	−1.12193	−	0.751171i
$202$	2.73719	+	4.38924i	0.192588	+	0.308826i
$203$	−1.22221	−	4.32939i	−0.0857827	−	0.303864i
$204$	−0.547721	−	1.49731i	−0.0383482	−	0.104833i
$205$	17.0546	+	6.20737i	1.19115	+	0.433542i
$206$	12.8786	+	4.19739i	0.897296	+	0.292446i
$207$	7.05898	+	3.69152i	0.490633	+	0.256579i
$208$	1.29800	−	1.43114i	0.0899999	−	0.0992314i
$209$	0.802649	−	2.20526i	0.0555204	−	0.152541i
$210$	−17.8963	−	1.90966i	−1.23496	−	0.131779i
$211$	−14.6417	+	17.4493i	−1.00798	+	1.20126i	−0.0285230	+	0.999593i	$0.509080\pi$
$211$	−14.6417	+	17.4493i	−1.00798	+	1.20126i	−0.979454	+	0.201667i	$0.935364\pi$
$212$	−0.190686	−	0.198176i	−0.0130963	−	0.0136108i
$213$	21.0500	+	9.28581i	1.44232	+	0.636254i
$214$	−8.93260	−	22.1666i	−0.610620	−	1.51528i
$215$	6.30565	+	10.9217i	0.430042	+	0.744855i
$216$	−1.42563	+	14.6276i	−0.0970021	+	0.995284i
$217$	0.317317	−	4.28490i	0.0215409	−	0.290878i
$218$	−3.01247	+	3.84862i	−0.204030	+	0.260661i
$219$	−0.779111	−	7.17621i	−0.0526474	−	0.484924i
$220$	4.39696	−	15.2301i	0.296443	−	1.02681i
$221$	0.0760342	+	0.208902i	0.00511461	+	0.0140523i
$222$	0.482632	−	14.8978i	0.0323921	−	0.999872i
$223$	−0.276219	+	0.758905i	−0.0184970	+	0.0508200i	−0.948597	−	0.316485i	$-0.897497\pi$
$223$	−0.276219	+	0.758905i	−0.0184970	+	0.0508200i	0.930101	+	0.367305i	$0.119720\pi$
$224$	8.47593	−	12.3353i	0.566322	−	0.824184i
$225$	−8.06582	−	1.07729i	−0.537722	−	0.0718190i
$226$	20.0319	−	18.0041i	1.33250	−	1.19761i
$227$	3.16796	+	17.9664i	0.210265	+	1.19247i	0.888937	+	0.458029i	$0.151445\pi$
$227$	3.16796	+	17.9664i	0.210265	+	1.19247i	−0.678672	+	0.734441i	$0.737444\pi$
$228$	1.82740	−	2.18498i	0.121023	−	0.144704i
$229$	12.4949	−	4.54779i	0.825689	−	0.300526i	0.105601	−	0.994409i	$-0.466323\pi$
$229$	12.4949	−	4.54779i	0.825689	−	0.300526i	0.720088	+	0.693882i	$0.244101\pi$
$230$	−5.51836	−	8.84900i	−0.363870	−	0.583486i
$231$	−4.89115	−	12.1298i	−0.321814	−	0.798084i
$232$	4.66319	+	1.17610i	0.306153	+	0.0772146i
$233$		−	0.278446i		−	0.0182416i	−0.999958	−	0.00912081i	$-0.997097\pi$
$233$		−	0.278446i		−	0.0182416i	0.999958	−	0.00912081i	$-0.00290328\pi$
$234$	0.202085	−	2.03929i	0.0132107	−	0.133313i
$235$			2.54412i			0.165960i
$236$	23.2527	−	1.58376i	1.51362	−	0.103094i
$237$	10.2874	−	10.7262i	0.668236	−	0.696739i
$238$	0.800843	+	1.52455i	0.0519110	+	0.0988216i
$239$	−18.1952	+	6.62253i	−1.17695	+	0.428376i	−0.855125	−	0.518423i	$-0.826519\pi$
$239$	−18.1952	+	6.62253i	−1.17695	+	0.428376i	−0.321828	+	0.946798i	$0.604297\pi$
$240$	11.3123	−	15.5638i	0.730203	−	1.00464i
$241$	−15.8478	−	5.76811i	−1.02084	−	0.371557i	−0.223256	−	0.974760i	$-0.571669\pi$
$241$	−15.8478	−	5.76811i	−1.02084	−	0.371557i	−0.797588	+	0.603203i	$0.793891\pi$
$242$	−3.94939	+	0.835739i	−0.253876	+	0.0537234i
$243$	8.02427	+	13.3645i	0.514757	+	0.857336i
$244$	2.36491	−	22.1161i	0.151398	−	1.41584i
$245$	19.4330	−	0.518853i	1.24153	−	0.0331483i
$246$	−3.28874	+	15.6664i	−0.209682	+	0.998856i
$247$	−0.255298	+	0.304253i	−0.0162442	+	0.0193591i
$248$	3.80104	+	2.57885i	0.241366	+	0.163757i
$249$	−16.9043	+	4.90996i	−1.07127	+	0.311156i
$250$	−7.07460	−	5.53758i	−0.447437	−	0.350228i
$251$	10.6552	+	18.4553i	0.672550	+	1.16489i	0.977179	+	0.212419i	$0.0681343\pi$
$251$	10.6552	+	18.4553i	0.672550	+	1.16489i	−0.304629	+	0.952471i	$0.598532\pi$
$252$	−0.568871	−	15.8643i	−0.0358355	−	0.999358i
$253$	3.78919	−	6.56307i	0.238224	−	0.412617i
$254$	1.71010	−	0.689127i	0.107301	−	0.0432397i
$255$	0.977300	+	1.98646i	0.0612009	+	0.124397i
$256$	6.90981	+	14.4310i	0.431863	+	0.901939i
$257$	−2.42384	−	6.65943i	−0.151195	−	0.415404i	0.840853	−	0.541263i	$-0.182054\pi$
$257$	−2.42384	−	6.65943i	−0.151195	−	0.415404i	−0.992048	+	0.125859i	$0.959831\pi$
$258$	−8.74809	+	6.87035i	−0.544632	+	0.427729i
$259$	1.61713	+	16.0184i	0.100483	+	0.995338i
$260$	−1.58085	+	2.16760i	−0.0980399	+	0.134429i
$261$	4.71631	−	1.94320i	0.291932	−	0.120281i
$262$	20.9436	+	23.3025i	1.29390	+	1.43963i
$263$	0.611437	−	0.513057i	0.0377028	−	0.0316364i	−0.623742	−	0.781631i	$-0.714388\pi$
$263$	0.611437	−	0.513057i	0.0377028	−	0.0316364i	0.661444	+	0.749994i	$0.269944\pi$
$264$	13.8472	+	1.93601i	0.852235	+	0.119153i
$265$	0.292538	+	0.245468i	0.0179704	+	0.0150790i
$266$	−1.64343	+	2.60095i	−0.100765	+	0.159474i
$267$	11.9284	−	27.0404i	0.730004	−	1.65485i
$268$	−18.3468	+	12.3269i	−1.12071	+	0.752986i
$269$	19.0980	+	11.0262i	1.16442	+	0.672280i	0.952360	−	0.304976i	$-0.0986483\pi$
$269$	19.0980	+	11.0262i	1.16442	+	0.672280i	0.212063	+	0.977256i	$0.431982\pi$
$270$	−0.191258	−	20.4068i	−0.0116396	−	1.24192i
$271$	3.15150	−	1.81952i	0.191440	−	0.110528i	−0.401217	−	0.915983i	$-0.631413\pi$
$271$	3.15150	−	1.81952i	0.191440	−	0.110528i	0.592656	+	0.805455i	$0.298079\pi$
$272$	−1.83962	−	0.0708988i	−0.111544	−	0.00429887i
$273$	0.0757417	+	2.21218i	0.00458409	+	0.133887i
$274$	−2.74558	+	5.15245i	−0.165867	+	0.311271i
$275$	−1.34430	+	7.62391i	−0.0810644	+	0.459739i
$276$	7.03673	−	5.92395i	0.423561	−	0.356580i
$277$	1.23837	−	1.03912i	0.0744067	−	0.0624346i	−0.604826	−	0.796358i	$-0.706757\pi$
$277$	1.23837	−	1.03912i	0.0744067	−	0.0624346i	0.679232	+	0.733923i	$0.262313\pi$
$278$	−1.58401	−	7.48545i	−0.0950029	−	0.448948i
$279$	4.86768	−	0.203378i	0.291420	−	0.0121759i
$280$	−9.88151	+	18.2826i	−0.590533	+	1.09260i
$281$	−6.96474	−	8.30026i	−0.415482	−	0.495152i	0.517194	−	0.855868i	$-0.326977\pi$
$281$	−6.96474	−	8.30026i	−0.415482	−	0.495152i	−0.932676	+	0.360716i	$0.882532\pi$
$282$	−2.22133	+	0.317902i	−0.132278	+	0.0189308i
$283$	−11.5256	+	13.7357i	−0.685125	+	0.816500i	−0.990757	−	0.135650i	$-0.956688\pi$
$283$	−11.5256	+	13.7357i	−0.685125	+	0.816500i	0.305632	+	0.952150i	$0.401132\pi$
$284$	19.1436	−	18.4200i	1.13596	−	1.09303i
$285$	−2.20050	+	3.28660i	−0.130346	+	0.194681i
$286$	−1.93036	−	0.273073i	−0.114144	−	0.0161471i
$287$	1.27695	−	17.2433i	0.0753759	−	1.01784i
$288$	15.0027	+	7.93222i	0.884040	+	0.467411i
$289$	−8.39409	+	14.5390i	−0.493770	+	0.855234i
$290$	−6.61209	−	0.935361i	−0.388275	−	0.0549263i
$291$	−19.5676	−	18.7671i	−1.14707	−	1.10015i
$292$	−8.00802	−	2.31193i	−0.468634	−	0.135296i
$293$	−2.46437	−	6.77081i	−0.143970	−	0.395555i	0.846659	−	0.532136i	$-0.178611\pi$
$293$	−2.46437	−	6.77081i	−0.143970	−	0.395555i	−0.990629	+	0.136582i	$0.956388\pi$
$294$	2.88129	+	16.9026i	0.168040	+	0.985780i
$295$	−31.8710	+	5.61972i	−1.85560	+	0.327193i
$296$	−15.7044	−	7.04313i	−0.912802	−	0.409374i
$297$	13.0219	−	7.09644i	0.755606	−	0.411777i
$298$	−5.55989	−	26.2739i	−0.322076	−	1.52201i
$299$	−0.982509	+	0.824423i	−0.0568200	+	0.0476776i
$300$	−4.68498	+	8.14504i	−0.270488	+	0.470254i
$301$	8.38152	−	8.60829i	0.483103	−	0.496173i
$302$	−26.4324	+	0.899130i	−1.52102	+	0.0517391i
$303$	4.38526	−	4.57230i	0.251926	−	0.262672i
$304$	−1.53362	−	2.90965i	−0.0879594	−	0.166880i
$305$			30.8847i			1.76845i
$306$	−1.61231	+	1.10152i	−0.0921697	+	0.0629699i
$307$	−7.93278	−	4.57999i	−0.452748	−	0.261394i	0.256242	−	0.966613i	$-0.417516\pi$
$307$	−7.93278	−	4.57999i	−0.452748	−	0.261394i	−0.708990	+	0.705219i	$0.750849\pi$
$308$	−15.1019	−	0.0893102i	−0.860509	−	0.00508892i
$309$	1.10054	−	16.5531i	0.0626077	−	0.941671i
$310$	−5.62882	−	2.99942i	−0.319696	−	0.170356i
$311$	−21.7556	−	18.2552i	−1.23365	−	1.03516i	−0.997993	−	0.0633186i	$-0.979832\pi$
$311$	−21.7556	−	18.2552i	−1.23365	−	1.03516i	−0.235656	−	0.971836i	$-0.575724\pi$
$312$	−2.09012	−	1.10942i	−0.118330	−	0.0628086i
$313$	−28.3642	−	10.3237i	−1.60324	−	0.583531i	−0.623151	−	0.782102i	$-0.714148\pi$
$313$	−28.3642	−	10.3237i	−1.60324	−	0.583531i	−0.980087	+	0.198571i	$0.936370\pi$
$314$	27.3125	−	5.77967i	1.54134	−	0.326166i
$315$	3.12765	+	21.8198i	0.176223	+	1.22941i
$316$	−6.95175	−	15.6901i	−0.391067	−	0.882639i
$317$	−3.31152	+	0.583911i	−0.185994	+	0.0327957i	−0.265869	−	0.964009i	$-0.585659\pi$
$317$	−3.31152	+	0.583911i	−0.185994	+	0.0327957i	0.0798753	+	0.996805i	$0.474548\pi$
$318$	−0.177770	+	0.286094i	−0.00996885	+	0.0160434i
$319$	−1.65974	−	4.56010i	−0.0929276	−	0.255316i
$320$	−11.6709	−	18.9047i	−0.652426	−	1.05681i
$321$	−23.6208	+	17.2854i	−1.31838	+	0.964777i
$322$	−6.68492	+	7.34996i	−0.372536	+	0.409598i
$323$	0.378448			0.0210574
$324$	17.7938	−	2.71694i	0.988543	−	0.150941i
$325$	0.655092	−	1.13465i	0.0363380	−	0.0629393i
$326$	−24.9089	+	10.0377i	−1.37958	+	0.555936i
$327$	5.47664	+	2.41592i	0.302859	+	0.133600i
$328$	15.2961	+	10.3778i	0.844588	+	0.573019i
$329$	2.33259	−	0.658504i	0.128600	−	0.0363045i
$330$	−19.4046	−	0.628636i	−1.06819	−	0.0346053i
$331$	−0.0469003	+	0.00826979i	−0.00257788	+	0.000454549i	−0.174937	−	0.984580i	$-0.555972\pi$
$331$	−0.0469003	+	0.00826979i	−0.00257788	+	0.000454549i	0.172359	+	0.985034i	$0.444861\pi$
$332$	−2.16119	+	20.2109i	−0.118610	+	1.10922i
$333$	−17.8302	+	3.91777i	−0.977088	+	0.214693i
$334$	−15.7837	−	17.5614i	−0.863645	−	0.960920i
$335$	23.5114	−	19.7284i	1.28457	−	1.07788i
$336$	−17.1978	−	6.34327i	−0.938215	−	0.346054i
$337$	−1.01212	+	5.74001i	−0.0551336	+	0.312678i	−0.999886	−	0.0151071i	$-0.995191\pi$
$337$	−1.01212	+	5.74001i	−0.0551336	+	0.312678i	0.944752	+	0.327785i	$0.106302\pi$
$338$	−15.9338	−	8.49063i	−0.866685	−	0.461829i
$339$	−27.4104	−	18.3523i	−1.48873	−	0.996759i
$340$	2.55043	−	0.173713i	0.138317	−	0.00942089i
$341$		−	4.63488i		−	0.250993i
$342$	−3.14457	−	1.51063i	−0.170039	−	0.0816854i
$343$	−5.50564	−	17.6830i	−0.297277	−	0.954791i
$344$	3.50687	+	12.3562i	0.189078	+	0.666203i
$345$	−8.84098	+	9.21808i	−0.475982	+	0.496285i
$346$	−2.60633	+	4.89112i	−0.140117	+	0.262948i
$347$	−0.173089	+	0.981637i	−0.00929191	+	0.0526970i	−0.989101	−	0.147237i	$-0.952962\pi$
$347$	−0.173089	+	0.981637i	−0.00929191	+	0.0526970i	0.979809	+	0.199935i	$0.0640730\pi$
$348$	−0.00953060	−	5.89005i	−0.000510894	−	0.315740i
$349$	−0.496300	−	2.81465i	−0.0265663	−	0.150665i	0.968639	−	0.248472i	$-0.0799284\pi$
$349$	−0.496300	−	2.81465i	−0.0265663	−	0.150665i	−0.995205	+	0.0978069i	$0.968817\pi$
$350$	3.84905	−	9.39099i	0.205740	−	0.501969i
$351$	−2.48170	+	0.374824i	−0.132463	+	0.0200066i
$352$	8.13552	−	13.9453i	0.433624	−	0.743284i
$353$	0.692530	−	1.90271i	0.0368597	−	0.101271i	−0.919898	−	0.392159i	$-0.871728\pi$
$353$	0.692530	−	1.90271i	0.0368597	−	0.101271i	0.956757	+	0.290888i	$0.0939506\pi$
$354$	−8.88918	−	27.1252i	−0.472455	−	1.44169i
$355$	−23.7119	+	28.2588i	−1.25850	+	1.49982i
$356$	−23.6619	−	24.5914i	−1.25408	−	1.30334i
$357$	1.56834	−	1.41021i	0.0830055	−	0.0746361i
$358$	−7.58262	−	18.8166i	−0.400754	−	0.994487i
$359$	−8.51111	+	14.7417i	−0.449199	+	0.778036i	−0.998334	−	0.0576976i	$-0.981624\pi$
$359$	−8.51111	+	14.7417i	−0.449199	+	0.778036i	0.549135	+	0.835734i	$0.314957\pi$
$360$	−21.8852	−	8.73700i	−1.15345	−	0.460480i
$361$	−9.16194	−	15.8689i	−0.482207	−	0.835207i
$362$	10.0397	+	24.9140i	0.527677	+	1.30945i
$363$	2.18256	+	4.43628i	0.114555	+	0.232845i
$364$	2.39655	+	0.888359i	0.125614	+	0.0465627i
$365$	11.3980	+	2.00977i	0.596598	+	0.105196i
$366$	−26.9662	+	3.85922i	−1.40955	+	0.201725i
$367$	−20.3336	+	3.58536i	−1.06140	+	0.187154i	−0.676979	−	0.736002i	$-0.736711\pi$
$367$	−20.3336	+	3.58536i	−1.06140	+	0.187154i	−0.384425	+	0.923156i	$0.625600\pi$
$368$	−3.24563	−	10.1132i	−0.169190	−	0.527189i
$369$	19.5885	−	0.818432i	1.01974	−	0.0426059i
$370$	22.7229	+	7.40583i	1.18131	+	0.385011i
$371$	0.149340	−	0.331750i	0.00775336	−	0.0172236i
$372$	1.91552	−	5.28945i	0.0993149	−	0.274245i
$373$	0.931504	−	5.28282i	0.0482314	−	0.273534i	−0.951149	−	0.308733i	$-0.900095\pi$
$373$	0.931504	−	5.28282i	0.0482314	−	0.273534i	0.999380	+	0.0351984i	$0.0112063\pi$
$374$	0.982985	+	1.57627i	0.0508289	+	0.0815071i
$375$	−4.44098	+	10.0673i	−0.229331	+	0.519871i
$376$	−0.633657	+	2.51243i	−0.0326784	+	0.129569i
$377$			0.821286i			0.0422984i
$378$	−18.6606	+	5.45733i	−0.959797	+	0.280695i
$379$		−	1.74021i		−	0.0893887i	−0.999001	−	0.0446944i	$-0.985769\pi$
$379$		−	1.74021i		−	0.0893887i	0.999001	−	0.0446944i	$-0.0142314\pi$
$380$	2.54705	+	3.79092i	0.130661	+	0.194470i
$381$	−1.33352	−	1.82228i	−0.0683185	−	0.0933582i
$382$	28.4809	−	17.7611i	1.45721	−	0.908737i
$383$	3.86209	−	21.9030i	0.197344	−	1.11919i	−0.711698	−	0.702485i	$-0.752074\pi$
$383$	3.86209	−	21.9030i	0.197344	−	1.11919i	0.909042	−	0.416705i	$-0.136815\pi$
$384$	15.0478	−	12.5524i	0.767905	−	0.640564i
$385$	20.8643	−	2.10633i	1.06334	−	0.107349i
$386$	8.17519	−	25.0835i	0.416106	−	1.27672i
$387$	10.7926	+	8.31364i	0.548617	+	0.422606i
$388$	−28.6233	+	12.6820i	−1.45313	+	0.643830i
$389$	11.3018	−	1.99282i	0.573025	−	0.101040i	0.120376	−	0.992728i	$-0.461590\pi$
$389$	11.3018	−	1.99282i	0.573025	−	0.101040i	0.452649	+	0.891689i	$0.350479\pi$
$390$	3.04962	+	1.22319i	0.154423	+	0.0619386i
$391$	1.20354	+	0.212216i	0.0608655	+	0.0107322i
$392$	19.3202	+	4.32775i	0.975818	+	0.218584i
$393$	21.3486	−	31.8857i	1.07690	−	1.60842i
$394$	12.6992	−	5.11745i	0.639774	−	0.257813i
$395$	11.9148	+	20.6370i	0.599496	+	1.03836i
$396$	−1.87583	−	17.0212i	−0.0942642	−	0.855346i
$397$	−9.51465	+	16.4798i	−0.477526	+	0.827100i	−0.999668	−	0.0257587i	$-0.991800\pi$
$397$	−9.51465	+	16.4798i	−0.477526	+	0.827100i	0.522142	+	0.852859i	$0.325133\pi$
$398$	2.16295	−	0.871615i	0.108419	−	0.0436901i
$399$	3.58290	+	1.16685i	0.179369	+	0.0584158i
$400$	6.64894	+	8.57395i	0.332447	+	0.428697i
$401$	1.64899	−	1.96518i	0.0823464	−	0.0981366i	−0.723298	−	0.690536i	$-0.757375\pi$
$401$	1.64899	−	1.96518i	0.0823464	−	0.0981366i	0.805645	+	0.592399i	$0.201819\pi$
$402$	20.1633	+	18.0632i	1.00565	+	0.900912i
$403$	−0.268285	+	0.737107i	−0.0133642	+	0.0367179i
$404$	−2.96337	−	6.68833i	−0.147433	−	0.332757i
$405$	−24.1667	+	6.37834i	−1.20085	+	0.316942i
$406$	0.853842	+	6.30443i	0.0423755	+	0.312884i
$407$	3.01580	+	17.1035i	0.149488	+	0.847787i
$408$	0.470363	+	2.20514i	0.0232864	+	0.109170i
$409$	2.35760	−	13.3706i	0.116576	−	0.661134i	−0.869382	−	0.494140i	$-0.835483\pi$
$409$	2.35760	−	13.3706i	0.116576	−	0.661134i	0.985958	−	0.166994i	$-0.0534060\pi$
$410$	−22.6515	−	12.0703i	−1.11868	−	0.596109i
$411$	6.94394	+	1.70608i	0.342519	+	0.0841545i
$412$	−17.2021	−	8.42855i	−0.847488	−	0.415245i
$413$	13.4018	+	27.7666i	0.659459	+	1.36630i
$414$	−9.15325	−	6.56742i	−0.449858	−	0.322771i
$415$		−	28.2242i		−	1.38547i
$416$	−2.10104	+	1.74686i	−0.103012	+	0.0856471i
$417$	−8.40829	+	4.13671i	−0.411756	+	0.202575i
$418$	−1.56076	+	2.92897i	−0.0763392	+	0.143261i
$419$	1.72290	−	9.77104i	0.0841690	−	0.477346i	−0.913364	−	0.407144i	$-0.866525\pi$
$419$	1.72290	−	9.77104i	0.0841690	−	0.477346i	0.997533	−	0.0702018i	$-0.0223643\pi$
$420$	24.6814	+	6.21905i	1.20433	+	0.303458i
$421$	16.4422	−	13.7966i	0.801342	−	0.672406i	−0.147182	−	0.989109i	$-0.547020\pi$
$421$	16.4422	−	13.7966i	0.801342	−	0.672406i	0.948525	+	0.316703i	$0.102576\pi$
$422$	23.9588	−	21.5335i	1.16630	−	1.04823i
$423$	1.04696	+	2.54105i	0.0509047	+	0.123550i
$424$	0.227756	+	0.315273i	0.0110608	+	0.0153110i
$425$	−1.22945	+	0.216785i	−0.0596369	+	0.0105156i
$426$	−27.6364	−	17.1724i	−1.33899	−	0.832004i
$427$	28.3168	−	7.99402i	1.37035	−	0.386858i
$428$	8.11718	+	32.8087i	0.392359	+	1.58587i
$429$	0.257718	+	2.37378i	0.0124427	+	0.114607i
$430$	−6.66620	−	16.5424i	−0.321473	−	0.797747i
$431$	−2.11632	+	3.66558i	−0.101940	+	0.176565i	−0.912484	−	0.409113i	$-0.865838\pi$
$431$	−2.11632	+	3.66558i	−0.101940	+	0.176565i	0.810544	+	0.585678i	$0.199172\pi$
$432$	4.89380	−	20.2003i	0.235453	−	0.971886i
$433$	−8.86925			−0.426229			−0.213115	−	0.977027i	$-0.568361\pi$
$433$	−8.86925			−0.426229			−0.213115	+	0.977027i	$0.568361\pi$
$434$	−1.29311	+	5.93717i	−0.0620712	+	0.284993i
$435$	0.882767	+	8.13097i	0.0423254	+	0.389850i
$436$	4.98064	−	4.79238i	0.238529	−	0.229514i
$437$	0.746764	+	2.05172i	0.0357226	+	0.0981469i
$438$	−0.330539	+	10.2030i	−0.0157938	+	0.487517i
$439$	−1.93678	+	0.341507i	−0.0924377	+	0.0162993i	−0.219676	−	0.975573i	$-0.570500\pi$
$439$	−1.93678	+	0.341507i	−0.0924377	+	0.0162993i	0.127238	+	0.991872i	$0.459389\pi$
$440$	−9.17380	+	20.4553i	−0.437344	+	0.975168i
$441$	19.1961	−	8.51531i	0.914099	−	0.405491i
$442$	−0.0650880	−	0.307581i	−0.00309592	−	0.0146301i
$443$	−10.7563	−	3.91496i	−0.511045	−	0.186005i	0.0736101	−	0.997287i	$-0.476548\pi$
$443$	−10.7563	−	3.91496i	−0.511045	−	0.186005i	−0.584655	+	0.811282i	$0.698770\pi$
$444$	−3.62685	+	20.7653i	−0.172123	+	0.985478i
$445$	36.3007	+	30.4599i	1.72082	+	1.44394i
$446$	0.537110	−	1.00796i	0.0254329	−	0.0477282i
$447$	−29.5131	+	14.5198i	−1.39592	+	0.686765i
$448$	−14.3120	+	15.5938i	−0.676181	+	0.736736i
$449$	28.1776	+	16.2684i	1.32978	+	0.767751i	0.985266	−	0.171028i	$-0.0547089\pi$
$449$	28.1776	+	16.2684i	1.32978	+	0.767751i	0.344518	+	0.938780i	$0.388042\pi$
$450$	11.0810	+	3.10622i	0.522361	+	0.146429i
$451$		−	18.6517i		−	0.878274i
$452$	−31.6165	+	21.2426i	−1.48712	+	0.999167i
$453$	9.03496	+	31.1061i	0.424500	+	1.46149i
$454$	−0.877118	−	25.7854i	−0.0411652	−	1.21017i
$455$	−3.44007	−	0.872727i	−0.161273	−	0.0409141i
$456$	−2.99167	+	2.69759i	−0.140098	+	0.126326i
$457$	13.9349	−	11.6928i	0.651849	−	0.546966i	−0.255782	−	0.966734i	$-0.582333\pi$
$457$	13.9349	−	11.6928i	0.651849	−	0.546966i	0.907631	+	0.419768i	$0.137889\pi$
$458$	−18.3972	+	3.89307i	−0.859644	+	0.181911i
$459$	1.79359	+	1.58189i	0.0837177	+	0.0738363i
$460$	5.97434	+	13.4841i	0.278555	+	0.628700i
$461$	−13.6302	+	2.40337i	−0.634821	+	0.111936i	−0.481792	−	0.876286i	$-0.660014\pi$
$461$	−13.6302	+	2.40337i	−0.634821	+	0.111936i	−0.153029	+	0.988222i	$0.548903\pi$
$462$	4.44620	+	17.9539i	0.206856	+	0.835292i
$463$	−1.79918	−	4.94319i	−0.0836148	−	0.229730i	0.890838	−	0.454320i	$-0.150118\pi$
$463$	−1.79918	−	4.94319i	−0.0836148	−	0.229730i	−0.974453	+	0.224591i	$0.927896\pi$
$464$	−6.29676	−	2.57057i	−0.292320	−	0.119336i
$465$	−1.86381	+	7.58594i	−0.0864322	+	0.351789i
$466$	−0.0551562	+	0.389900i	−0.00255506	+	0.0180618i
$467$	5.69999	−	9.87267i	0.263764	−	0.456853i	−0.703475	−	0.710720i	$-0.748369\pi$
$467$	5.69999	−	9.87267i	0.263764	−	0.456853i	0.967239	+	0.253867i	$0.0817026\pi$
$468$	−0.686929	+	2.81554i	−0.0317533	+	0.130148i
$469$	−24.1737	−	16.4502i	−1.11624	−	0.759600i
$470$	0.503953	−	3.56246i	0.0232456	−	0.164324i
$471$	−15.0938	−	30.6797i	−0.695486	−	1.41365i
$472$	−32.8738	−	2.38832i	−1.51314	−	0.109931i
$473$	8.33086	−	9.92834i	0.383053	−	0.456505i
$474$	−16.5298	+	12.9818i	−0.759239	+	0.596272i
$475$	−1.43367	−	1.70858i	−0.0657813	−	0.0783951i
$476$	−0.819408	−	2.29341i	−0.0375575	−	0.105118i
$477$	0.393200	+	0.124787i	0.0180034	+	0.00571361i
$478$	26.7901	−	5.66912i	1.22535	−	0.259300i
$479$	10.4287	−	8.75071i	0.476499	−	0.399830i	−0.372660	−	0.927968i	$-0.621554\pi$
$479$	10.4287	−	8.75071i	0.476499	−	0.399830i	0.849159	+	0.528138i	$0.177110\pi$
$480$	−18.9232	+	19.5528i	−0.863722	+	0.892457i
$481$	0.510398	−	2.89461i	0.0232722	−	0.131983i
$482$	21.0486	+	11.2161i	0.958737	+	0.510881i
$483$	10.7400	+	5.71995i	0.488687	+	0.260267i
$484$	5.69577	−	0.387945i	0.258898	−	0.0176339i
$485$	37.6477	−	21.7359i	1.70949	−	0.986977i
$486$	−8.58884	−	20.3035i	−0.389598	−	0.920985i
$487$	21.6127	+	12.4781i	0.979364	+	0.565436i	0.902078	−	0.431573i	$-0.142041\pi$
$487$	21.6127	+	12.4781i	0.979364	+	0.565436i	0.0772862	+	0.997009i	$0.475374\pi$
$488$	−7.69239	+	30.5000i	−0.348218	+	1.38067i
$489$	19.4238	+	26.5429i	0.878376	+	1.20031i
$490$	−27.3143	−	3.12287i	−1.23393	−	0.141077i
$491$	−4.18141	−	3.50862i	−0.188704	−	0.158342i	0.543541	−	0.839383i	$-0.317083\pi$
$491$	−4.18141	−	3.50862i	−0.188704	−	0.158342i	−0.732245	+	0.681041i	$0.761528\pi$
$492$	7.70842	−	21.2858i	0.347523	−	0.959639i
$493$	0.599480	−	0.503023i	0.0269992	−	0.0226550i
$494$	0.417755	−	0.375465i	0.0187957	−	0.0168930i
$495$	5.10296	+	23.2241i	0.229361	+	1.04385i
$496$	−4.81165	−	4.36402i	−0.216050	−	0.195950i
$497$	32.0467	+	14.4261i	1.43749	+	0.647099i
$498$	24.6432	−	3.52677i	1.10429	−	0.158038i
$499$	1.91661	+	5.26584i	0.0857992	+	0.235731i	0.975171	−	0.221453i	$-0.0710801\pi$
$499$	1.91661	+	5.26584i	0.0857992	+	0.235731i	−0.889372	+	0.457185i	$0.848858\pi$
$500$	8.80945	+	9.15550i	0.393970	+	0.409446i
$501$	−16.0889	+	24.0300i	−0.718801	+	1.07358i
$502$	−11.2644	−	27.9531i	−0.502756	−	1.24761i
$503$	0.377641	−	0.654094i	0.0168382	−	0.0291646i	−0.857484	−	0.514511i	$-0.827973\pi$
$503$	0.377641	−	0.654094i	0.0168382	−	0.0291646i	0.874322	+	0.485347i	$0.161307\pi$
$504$	−2.34592	+	22.3270i	−0.104496	+	0.994525i
$505$	5.07897	+	8.79704i	0.226011	+	0.391463i
$506$	−6.60595	+	8.43950i	−0.293670	+	0.375181i
$507$	−5.27599	+	21.4739i	−0.234315	+	0.953690i
$508$	−2.53111	+	0.626220i	−0.112300	+	0.0277840i
$509$	3.67925	−	4.38476i	0.163080	−	0.194351i	−0.678316	−	0.734770i	$-0.737290\pi$
$509$	3.67925	−	4.38476i	0.163080	−	0.194351i	0.841396	+	0.540419i	$0.181734\pi$
$510$	−0.974995	−	2.97518i	−0.0431735	−	0.131743i
$511$	−1.10752	−	10.9705i	−0.0489936	−	0.485306i
$512$	−6.81703	−	21.5761i	−0.301273	−	0.953538i
$513$	−0.845342	+	4.18818i	−0.0373228	+	0.184913i
$514$	2.07489	+	9.80515i	0.0915195	+	0.432486i
$515$	24.9953	+	9.09755i	1.10143	+	0.400886i
$516$	13.6106	−	7.88749i	0.599174	−	0.347227i
$517$	2.45689	−	0.894234i	0.108054	−	0.0393283i
$518$	0.908611	−	22.7505i	0.0399221	−	0.999600i
$519$	6.59174	+	1.61954i	0.289345	+	0.0710901i
$520$	2.64299	−	2.72209i	0.115903	−	0.119371i
$521$			34.3695i			1.50575i	0.658162	+	0.752877i	$0.271334\pi$
$521$			34.3695i			1.50575i	−0.658162	+	0.752877i	$0.728666\pi$
$522$	−6.98904	+	1.78677i	−0.305902	+	0.0782050i
$523$			17.4456i			0.762844i	0.924401	+	0.381422i	$0.124565\pi$
$523$			17.4456i			0.762844i	−0.924401	+	0.381422i	$0.875435\pi$
$524$	−24.7108	−	36.7785i	−1.07950	−	1.60668i
$525$	−12.3080	−	1.73833i	−0.537165	−	0.0758670i
$526$	−0.957807	+	0.597302i	−0.0417624	+	0.0260436i
$527$	0.702355	−	0.255636i	0.0305951	−	0.0111357i
$528$	−19.0063	−	5.45386i	−0.827144	−	0.237349i
$529$	−2.76956	−	15.7070i	−0.120416	−	0.682912i
$530$	−0.361009	−	0.401670i	−0.0156812	−	0.0174474i
$531$	−29.5200	+	18.7285i	−1.28106	+	0.812749i
$532$	2.81646	−	3.31650i	0.122109	−	0.143788i
$533$	−1.07963	+	2.96627i	−0.0467641	+	0.128483i
$534$	−22.0593	+	35.5011i	−0.954598	+	1.53628i
$535$	−16.0513	−	44.1004i	−0.693956	−	1.90663i
$536$	28.1323	−	13.6268i	1.21513	−	0.588587i
$537$	−20.0510	+	14.6731i	−0.865263	+	0.633190i
$538$	−24.5582	−	19.2227i	−1.05878	−	0.828751i
$539$	−7.33159	−	18.5844i	−0.315794	−	0.800485i
$540$	−3.77448	+	28.6130i	−0.162428	+	1.23131i
$541$	−20.4677	−	35.4512i	−0.879977	−	1.52416i	−0.851365	−	0.524574i	$-0.824225\pi$
$541$	−20.4677	−	35.4512i	−0.879977	−	1.52416i	−0.0286118	−	0.999591i	$-0.509109\pi$
$542$	−4.77337	+	1.92355i	−0.205034	+	0.0826236i
$543$	26.5484	−	19.4278i	1.13930	−	0.833728i
$544$	2.56193	+	0.463681i	0.109842	+	0.0198802i
$545$	−6.16920	+	7.35217i	−0.264260	+	0.314932i
$546$	0.332143	−	3.11266i	0.0142144	−	0.133210i
$547$	4.12220	−	11.3257i	0.176253	−	0.484250i	−0.819837	−	0.572597i	$-0.805936\pi$
$547$	4.12220	−	11.3257i	0.176253	−	0.484250i	0.996090	+	0.0883466i	$0.0281583\pi$
$548$	4.86519	−	6.67097i	0.207831	−	0.284970i
$549$	12.7097	+	30.8475i	0.542436	+	1.31654i
$550$	3.39258	−	10.4093i	0.144660	−	0.443852i
$551$	1.31380	+	0.478184i	0.0559698	+	0.0203713i
$552$	−11.0268	+	6.90126i	−0.469331	+	0.293737i
$553$	15.8372	−	16.2657i	0.673465	−	0.691686i
$554$	−1.93989	+	1.20975i	−0.0824182	+	0.0513971i
$555$	1.94179	−	29.2061i	0.0824242	−	1.23973i
$556$	0.735289	+	10.7954i	0.0311832	+	0.457829i
$557$	18.0862	−	10.4421i	0.766337	−	0.442445i	−0.0652291	−	0.997870i	$-0.520778\pi$
$557$	18.0862	−	10.4421i	0.766337	−	0.442445i	0.831566	+	0.555425i	$0.187444\pi$
$558$	−6.85636	−	0.679434i	−0.290253	−	0.0287627i
$559$	−1.89959	+	1.09673i	−0.0803440	+	0.0463866i
$560$	17.4583	−	23.6433i	0.737749	−	0.999111i
$561$	1.57484	−	1.64201i	0.0664899	−	0.0693259i
$562$	8.10837	+	13.0022i	0.342031	+	0.548466i
$563$	3.31115	−	18.7785i	0.139549	−	0.791419i	−0.832035	−	0.554723i	$-0.812824\pi$
$563$	3.31115	−	18.7785i	0.139549	−	0.791419i	0.971584	−	0.236696i	$-0.0760646\pi$
$564$	3.17344	−	0.00513489i	0.133626	−	0.000216218i
$565$	40.5166	−	33.9974i	1.70454	−	1.43028i
$566$	18.8598	−	16.9506i	0.792736	−	0.712487i
$567$	12.1032	+	20.5064i	0.508286	+	0.861189i
$568$	−30.4550	+	22.0009i	−1.27786	+	0.923139i
$569$	−22.9160	−	27.3102i	−0.960688	−	1.14490i	−0.989385	−	0.145315i	$-0.953580\pi$
$569$	−22.9160	−	27.3102i	−0.960688	−	1.14490i	0.0286976	−	0.999588i	$-0.490864\pi$
$570$	3.73232	−	4.16624i	0.156330	−	0.174505i
$571$	4.23261	+	0.746323i	0.177129	+	0.0312326i	0.261509	−	0.965201i	$-0.415780\pi$
$571$	4.23261	+	0.746323i	0.177129	+	0.0312326i	−0.0843800	+	0.996434i	$0.526891\pi$
$572$	2.64893	+	0.764752i	0.110757	+	0.0319759i
$573$	−29.6688	−	28.4551i	−1.23943	−	1.18873i
$574$	−5.20373	+	23.8924i	−0.217199	+	0.997248i
$575$	−3.60125	−	6.23756i	−0.150183	−	0.260124i
$576$	−19.4365	−	14.0791i	−0.809856	−	0.586629i
$577$	−2.48730	−	4.30813i	−0.103548	−	0.179350i	0.809596	−	0.586987i	$-0.199686\pi$
$577$	−2.48730	−	4.30813i	−0.103548	−	0.179350i	−0.913144	+	0.407637i	$0.866353\pi$
$578$	14.6340	−	18.6958i	0.608693	−	0.777642i
$579$	−32.2402	−	2.14351i	−1.33986	−	0.0890813i
$580$	9.07344	+	2.61952i	0.376754	+	0.108770i
$581$	−25.8775	+	7.30539i	−1.07358	+	0.303079i
$582$	23.6824	+	30.1551i	0.981669	+	1.24997i
$583$	0.134228	−	0.368787i	0.00555914	−	0.0152736i
$584$	10.7554	+	4.82361i	0.445064	+	0.199602i
$585$	0.532754	−	3.98882i	0.0220267	−	0.164917i
$586$	2.10959	+	9.96913i	0.0871464	+	0.411821i
$587$	17.4541	+	6.35276i	0.720407	+	0.262207i	0.676098	−	0.736811i	$-0.263669\pi$
$587$	17.4541	+	6.35276i	0.720407	+	0.262207i	0.0443082	+	0.999018i	$0.485892\pi$
$588$	−0.686421	−	24.2390i	−0.0283075	−	0.999599i
$589$	1.02293	+	0.858344i	0.0421493	+	0.0353675i
$590$	45.7413	−	1.55594i	1.88314	−	0.0640572i
$591$	−9.90274	−	13.5322i	−0.407344	−	0.556642i
$592$	20.5953	+	12.9731i	0.846463	+	0.533192i
$593$	−32.7368	+	18.9006i	−1.34434	+	0.776154i	−0.987441	−	0.157990i	$-0.949499\pi$
$593$	−32.7368	+	18.9006i	−1.34434	+	0.776154i	−0.356897	+	0.934144i	$0.616165\pi$
$594$	−19.6399	+	7.35750i	−0.805834	+	0.301882i
$595$	1.46995	+	3.04553i	0.0602622	+	0.124855i
$596$	2.58087	+	37.8920i	0.105716	+	1.55212i
$597$	−1.68666	−	2.30484i	−0.0690302	−	0.0943308i
$598$	1.53909	−	0.959795i	0.0629379	−	0.0392490i
$599$	16.8097	−	6.11823i	0.686826	−	0.249984i	0.0250503	−	0.999686i	$-0.492025\pi$
$599$	16.8097	−	6.11823i	0.686826	−	0.249984i	0.661776	+	0.749702i	$0.269803\pi$
$600$	8.17367	−	10.4772i	0.333689	−	0.427732i
$601$	−4.49749	−	1.63695i	−0.183456	−	0.0667726i	0.248659	−	0.968591i	$-0.420010\pi$
$601$	−4.49749	−	1.63695i	−0.183456	−	0.0667726i	−0.432115	+	0.901819i	$0.642232\pi$
$602$	−13.4416	+	10.3937i	−0.547838	+	0.423615i
$603$	15.3644	−	29.3801i	0.625689	−	1.19645i
$604$	37.1907	+	3.97686i	1.51327	+	0.161816i
$605$	−7.80685	+	1.37656i	−0.317393	+	0.0559650i
$606$	−7.04626	+	5.53381i	−0.286235	+	0.224796i
$607$	15.5475	+	42.7165i	0.631055	+	1.73381i	0.678155	+	0.734918i	$0.262780\pi$
$607$	15.5475	+	42.7165i	0.631055	+	1.73381i	−0.0471008	+	0.998890i	$0.514998\pi$
$608$	1.57113	+	4.37809i	0.0637178	+	0.177555i
$609$	7.22643	−	2.91394i	0.292830	−	0.118079i
$610$	6.11782	−	43.2470i	0.247703	−	1.75102i
$611$	−0.442492			−0.0179013
$612$	2.47587	−	1.22306i	0.100081	−	0.0494392i
$613$	−47.9439			−1.93644			−0.968219	−	0.250105i	$-0.919535\pi$
$613$	−47.9439			−1.93644			−0.968219	+	0.250105i	$0.919535\pi$
$614$	10.2008	+	7.98461i	0.411672	+	0.322233i
$615$	−7.50035	+	30.5273i	−0.302443	+	1.23098i
$616$	21.1290	+	3.11652i	0.851313	+	0.125568i
$617$	−8.52673	−	23.4270i	−0.343273	−	0.943136i	−0.984438	−	0.175732i	$-0.943771\pi$
$617$	−8.52673	−	23.4270i	−0.343273	−	0.943136i	0.641165	−	0.767403i	$-0.278452\pi$
$618$	−4.81999	+	22.9608i	−0.193888	+	0.923619i
$619$	−2.62416	+	7.20982i	−0.105474	+	0.289787i	−0.981192	−	0.193036i	$-0.938166\pi$
$619$	−2.62416	+	7.20982i	−0.105474	+	0.289787i	0.875718	+	0.482823i	$0.160389\pi$
$620$	7.28774	+	5.31500i	0.292683	+	0.213456i
$621$	−5.03689	+	12.8452i	−0.202124	+	0.515460i
$622$	26.8477	+	29.8717i	1.07650	+	1.19774i
$623$	18.5315	−	41.1665i	0.742447	−	1.64930i
$624$	2.70698	+	1.96751i	0.108366	+	0.0787636i
$625$	−23.9043	−	20.0581i	−0.956172	−	0.802324i
$626$	37.6726	+	20.0745i	1.50570	+	0.802340i
$627$	3.94736	+	0.969839i	0.157642	+	0.0387316i
$628$	−39.3898	+	2.68289i	−1.57183	+	0.107059i
$629$	−2.42547	+	1.40034i	−0.0967097	+	0.0558354i
$630$	−0.0573624	−	31.1732i	−0.00228537	−	1.24197i
$631$	2.39173	+	1.38087i	0.0952134	+	0.0549715i	0.546851	−	0.837230i	$-0.315827\pi$
$631$	2.39173	+	1.38087i	0.0952134	+	0.0549715i	−0.451637	+	0.892202i	$0.649160\pi$
$632$	6.62635	+	23.3475i	0.263582	+	0.928714i
$633$	−32.7838	−	21.9499i	−1.30304	−	0.872431i
$634$	4.75270	−	0.161669i	0.188754	−	0.00642068i
$635$	3.40223	−	1.23831i	0.135014	−	0.0491409i
$636$	0.305598	−	0.365396i	0.0121177	−	0.0144889i
$637$	0.0902429	+	3.37994i	0.00357555	+	0.133918i
$638$	1.42080	+	6.71415i	0.0562499	+	0.265816i
$639$	−12.0543	+	37.9827i	−0.476860	+	1.50257i
$640$	12.5977	+	28.7836i	0.497970	+	1.13777i
$641$	−6.67393	−	7.95368i	−0.263604	−	0.314151i	0.617965	−	0.786205i	$-0.287957\pi$
$641$	−6.67393	−	7.95368i	−0.263604	−	0.314151i	−0.881570	+	0.472054i	$0.843513\pi$
$642$	36.4995	−	19.5253i	1.44052	−	0.770603i
$643$	28.5888	−	34.0708i	1.12743	−	1.34362i	0.195623	−	0.980679i	$-0.437327\pi$
$643$	28.5888	−	34.0708i	1.12743	−	1.34362i	0.931811	−	0.362944i	$-0.118228\pi$
$644$	10.8166	−	8.96776i	0.426235	−	0.353379i
$645$	−17.6276	+	12.8997i	−0.694087	+	0.507925i
$646$	−0.529930	−	0.0749651i	−0.0208498	−	0.00294946i
$647$	−13.0359	+	22.5789i	−0.512495	+	0.887667i	0.487400	+	0.873179i	$0.337945\pi$
$647$	−13.0359	+	22.5789i	−0.512495	+	0.887667i	−0.999895	+	0.0144885i	$0.995388\pi$
$648$	−25.4543	+	0.279756i	−0.999940	+	0.0109898i
$649$	16.6294	+	28.8030i	0.652762	+	1.13062i
$650$	−1.14207	+	1.45906i	−0.0447955	+	0.0572290i
$651$	7.43763	−	0.254653i	0.291504	−	0.00998063i
$652$	36.8676	−	9.12138i	1.44384	−	0.357221i
$653$	11.6408	+	2.05258i	0.455538	+	0.0803237i	0.396709	−	0.917944i	$-0.370152\pi$
$653$	11.6408	+	2.05258i	0.455538	+	0.0803237i	0.0588292	+	0.998268i	$0.481263\pi$
$654$	−7.19023	−	4.46778i	−0.281160	−	0.174704i
$655$	39.5481	+	47.1316i	1.54527	+	1.84158i
$656$	−19.3631	−	17.5617i	−0.756000	−	0.685669i
$657$	12.2113	−	2.68315i	0.476408	−	0.104680i
$658$	−3.39670	+	0.460032i	−0.132417	+	0.0179339i
$659$	−28.2352	+	23.6921i	−1.09989	+	0.922914i	−0.997417	−	0.0718227i	$-0.977118\pi$
$659$	−28.2352	+	23.6921i	−1.09989	+	0.922914i	−0.102468	+	0.994736i	$0.532674\pi$
$660$	27.0472	+	4.72403i	1.05281	+	0.183883i
$661$	3.72734	+	3.12761i	0.144977	+	0.121650i	0.712392	−	0.701782i	$-0.247612\pi$
$661$	3.72734	+	3.12761i	0.144977	+	0.121650i	−0.567415	+	0.823432i	$0.692056\pi$
$662$	0.0673114	−	0.00228967i	0.00261613	−	8.89907e-5i
$663$	−0.345501	+	0.169979i	−0.0134181	+	0.00660145i
$664$	7.02974	−	27.8727i	0.272807	−	1.08167i
$665$	−3.39903	+	4.99490i	−0.131809	+	0.193694i
$666$	25.7432	−	1.95404i	0.997527	−	0.0757176i
$667$	3.91000	+	2.25744i	0.151396	+	0.0874084i
$668$	18.6228	+	27.7173i	0.720537	+	1.07242i
$669$	−1.35842	−	0.333755i	−0.0525196	−	0.0129037i
$670$	−36.8303	+	22.9679i	−1.42288	+	0.887328i
$671$	29.8258	−	10.8557i	1.15141	−	0.419079i
$672$	22.8250	+	12.2889i	0.880495	+	0.474056i
$673$	6.06651	+	34.4049i	0.233847	+	1.32621i	0.845029	+	0.534721i	$0.179583\pi$
$673$	6.06651	+	34.4049i	0.233847	+	1.32621i	−0.611182	+	0.791490i	$0.709306\pi$
$674$	2.55425	−	7.83708i	0.0983862	−	0.301873i
$675$	0.347127	−	14.0902i	0.0133609	−	0.542332i
$676$	20.6298	+	15.0454i	0.793453	+	0.578671i
$677$	−25.8338	−	30.7876i	−0.992875	−	1.18326i	−0.983055	−	0.183311i	$-0.941319\pi$
$677$	−25.8338	−	30.7876i	−0.992875	−	1.18326i	−0.00981996	−	0.999952i	$-0.503126\pi$
$678$	34.7467	+	31.1278i	1.33444	+	1.19546i
$679$	−29.6732	−	28.8915i	−1.13875	−	1.10876i
$680$	−3.60571	−	0.261959i	−0.138273	−	0.0100457i
$681$	−30.3446	+	8.81378i	−1.16281	+	0.337745i
$682$	−0.918104	+	6.49010i	−0.0351560	+	0.248519i
$683$	−36.2764			−1.38808			−0.694039	−	0.719938i	$-0.744170\pi$
$683$	−36.2764			−1.38808			−0.694039	+	0.719938i	$0.744170\pi$
$684$	4.10402	+	2.73818i	0.156921	+	0.104697i
$685$	−5.73244	+	9.92889i	−0.219025	+	0.379363i
$686$	4.20665	+	25.8516i	0.160611	+	0.987018i
$687$	10.1669	+	20.6653i	0.387891	+	0.788429i
$688$	−2.46298	−	17.9967i	−0.0939002	−	0.686119i
$689$	−0.0426937	+	0.0508804i	−0.00162650	+	0.00193839i
$690$	14.2057	−	11.1565i	0.540803	−	0.424722i
$691$	−13.0942	+	35.9760i	−0.498126	+	1.36859i	0.394957	+	0.918700i	$0.370759\pi$
$691$	−13.0942	+	35.9760i	−0.498126	+	1.36859i	−0.893083	+	0.449891i	$0.851463\pi$
$692$	4.61843	−	6.33262i	0.175566	−	0.240730i
$693$	19.9723	−	10.6899i	0.758686	−	0.406075i
$694$	0.436820	−	1.34027i	0.0165815	−	0.0508761i
$695$	−2.60905	−	14.7967i	−0.0989670	−	0.561270i
$696$	−1.15339	+	8.24956i	−0.0437191	+	0.312699i
$697$	2.82642	−	1.02873i	0.107058	−	0.0389660i
$698$	0.137411	+	4.03959i	0.00520110	+	0.152901i
$699$	0.479466	−	0.0520549i	0.0181351	−	0.00196890i
$700$	−7.24994	+	12.3875i	−0.274022	+	0.468203i
$701$		−	33.1485i		−	1.25200i	−0.779822	−	0.626001i	$-0.784691\pi$
$701$		−	33.1485i		−	1.25200i	0.779822	−	0.626001i	$-0.215309\pi$
$702$	3.54931	−	0.0332650i	0.133960	−	0.00125551i
$703$	−4.33330	−	2.50183i	−0.163433	−	0.0943583i
$704$	−14.1543	+	17.9156i	−0.533460	+	0.675220i
$705$	−4.38080	+	0.475617i	−0.164990	+	0.0179128i
$706$	−1.34663	+	2.52713i	−0.0506811	+	0.0951099i
$707$	6.75101	−	6.93366i	0.253898	−	0.260767i
$708$	7.07416	+	39.7434i	0.265863	+	1.49365i
$709$	5.60844	+	31.8070i	0.210629	+	1.19454i	0.888332	+	0.459202i	$0.151865\pi$
$709$	5.60844	+	31.8070i	0.210629	+	1.19454i	−0.677702	+	0.735336i	$0.737024\pi$
$710$	38.8008	−	34.8730i	1.45617	−	1.30876i
$711$	20.3929	+	15.7089i	0.764794	+	0.589130i
$712$	28.2620	+	39.1218i	1.05916	+	1.46615i
$713$	2.77181	+	3.30332i	0.103805	+	0.123710i
$714$	−2.47545	+	1.66401i	−0.0926413	+	0.0622739i
$715$	−3.77028	−	0.664802i	−0.141000	−	0.0248622i
$716$	6.89044	+	27.8503i	0.257508	+	1.04082i
$717$	−14.8051	−	30.0929i	−0.552907	−	1.12384i
$718$	14.8380	−	18.9564i	0.553749	−	0.707448i
$719$	4.42316			0.164956			0.0824781	−	0.996593i	$-0.473717\pi$
$719$	4.42316			0.164956			0.0824781	+	0.996593i	$0.473717\pi$
$720$	28.9146	+	16.5693i	1.07758	+	0.617502i
$721$	1.87150	−	25.2719i	0.0696984	−	0.941173i
$722$	9.68579	+	24.0357i	0.360468	+	0.894515i
$723$	6.96960	−	28.3671i	0.259202	−	1.05498i
$724$	−9.12326	−	36.8752i	−0.339063	−	1.37045i
$725$	−4.54200	−	0.800878i	−0.168686	−	0.0297438i
$726$	−2.17742	−	6.64434i	−0.0808115	−	0.246595i
$727$	−17.7283	+	3.12598i	−0.657508	+	0.115936i	−0.492441	−	0.870346i	$-0.663895\pi$
$727$	−17.7283	+	3.12598i	−0.657508	+	0.115936i	−0.165067	+	0.986282i	$0.552784\pi$
$728$	−3.17986	−	1.71867i	−0.117853	−	0.0636981i
$729$	−21.5127	+	16.3157i	−0.796767	+	0.604286i
$730$	−15.5622	−	5.07201i	−0.575982	−	0.187723i
$731$	1.96399	+	0.714836i	0.0726410	+	0.0264392i
$732$	38.5245	−	0.0623358i	1.42391	−	0.00230400i
$733$	18.2487	+	15.3125i	0.674031	+	0.565579i	0.914255	−	0.405138i	$-0.132777\pi$
$733$	18.2487	+	15.3125i	0.674031	+	0.565579i	−0.240224	+	0.970717i	$0.577221\pi$
$734$	29.1827	−	0.992684i	1.07715	−	0.0366406i
$735$	4.52639	+	33.3654i	0.166958	+	1.23070i
$736$	2.54147	+	14.8042i	0.0936799	+	0.545690i
$737$	−27.3161	−	15.7709i	−1.00620	−	0.580930i
$738$	−27.5914	−	2.73418i	−1.01565	−	0.100646i
$739$	42.7547	−	24.6844i	1.57276	−	0.908032i	0.576928	−	0.816795i	$-0.304251\pi$
$739$	42.7547	−	24.6844i	1.57276	−	0.908032i	0.995829	−	0.0912363i	$-0.0290819\pi$
$740$	−30.3513	−	14.8713i	−1.11573	−	0.546678i
$741$	−0.571630	−	0.382727i	−0.0209993	−	0.0140598i
$742$	−0.274832	+	0.434959i	−0.0100894	+	0.0159678i
$743$	0.668163	−	3.78934i	0.0245125	−	0.139017i	−0.970095	−	0.242724i	$-0.921959\pi$
$743$	0.668163	−	3.78934i	0.0245125	−	0.139017i	0.994608	+	0.103706i	$0.0330702\pi$
$744$	−3.73001	+	7.02724i	−0.136749	+	0.257631i
$745$	−9.15777	−	51.9363i	−0.335515	−	1.90280i
$746$	−2.35081	+	7.21287i	−0.0860693	+	0.264082i
$747$	−11.6148	−	28.1902i	−0.424965	−	1.03142i
$748$	−1.06421	−	2.40193i	−0.0389114	−	0.0878231i
$749$	−36.2791	+	26.1314i	−1.32561	+	0.954820i
$750$	8.21276	−	13.2172i	0.299888	−	0.482625i
$751$	31.6120	+	5.57405i	1.15354	+	0.203400i	0.717520	−	0.696538i	$-0.245277\pi$
$751$	31.6120	+	5.57405i	1.15354	+	0.203400i	0.436018	+	0.899938i	$0.356388\pi$
$752$	1.38497	−	3.39257i	0.0505046	−	0.123714i
$753$	−29.7869	+	21.7977i	−1.08549	+	0.794352i
$754$	0.162685	−	1.15002i	0.00592464	−	0.0418814i
$755$	−51.9362			−1.89015
$756$	27.2109	−	3.94535i	0.989652	−	0.143491i
$757$	2.65152			0.0963712			0.0481856	−	0.998838i	$-0.484656\pi$
$757$	2.65152			0.0963712			0.0481856	+	0.998838i	$0.484656\pi$
$758$	−0.344711	+	2.43677i	−0.0125205	+	0.0885075i
$759$	12.0095	+	5.29778i	0.435919	+	0.192297i
$760$	−2.81564	−	5.81285i	−0.102134	−	0.210854i
$761$	−9.68808	−	1.70827i	−0.351193	−	0.0619248i	−0.00473089	−	0.999989i	$-0.501506\pi$
$761$	−9.68808	−	1.70827i	−0.351193	−	0.0619248i	−0.346462	+	0.938064i	$0.612617\pi$
$762$	1.50633	+	2.81584i	0.0545685	+	0.102007i
$763$	8.33768	+	3.75328i	0.301844	+	0.135878i
$764$	−43.3993	+	19.2287i	−1.57013	+	0.695670i
$765$	−3.23785	+	2.05421i	−0.117065	+	0.0742701i
$766$	−9.74665	+	29.9051i	−0.352161	+	1.08052i
$767$	−0.977425	−	5.54325i	−0.0352928	−	0.200155i
$768$	−23.5575	+	14.5961i	−0.850057	+	0.526690i
$769$	−4.16397	+	23.6150i	−0.150157	+	0.851580i	0.812925	+	0.582369i	$0.197874\pi$
$769$	−4.16397	+	23.6150i	−0.150157	+	0.851580i	−0.963081	+	0.269211i	$0.913237\pi$
$770$	−29.6329	−	1.18348i	−1.06790	−	0.0426497i
$771$	11.0140	−	5.41865i	0.396658	−	0.195148i
$772$	−16.4162	+	33.5044i	−0.590831	+	1.20585i
$773$	15.8849	−	9.17115i	0.571340	−	0.329863i	−0.186344	−	0.982485i	$-0.559664\pi$
$773$	15.8849	−	9.17115i	0.571340	−	0.329863i	0.757684	+	0.652621i	$0.226331\pi$
$774$	−13.4657	−	13.7792i	−0.484015	−	0.495284i
$775$	−3.81484	−	2.20250i	−0.137033	−	0.0791162i
$776$	42.5925	−	12.0884i	1.52898	−	0.433947i
$777$	−27.2804	+	5.77919i	−0.978677	+	0.207327i
$778$	−16.2204	+	0.551755i	−0.581529	+	0.0197814i
$779$	4.11649	+	3.45415i	0.147489	+	0.123758i
$780$	−4.02800	−	2.31688i	−0.144225	−	0.0829577i
$781$	35.6244	+	12.9662i	1.27474	+	0.463968i
$782$	−1.64324	−	0.535564i	−0.0587623	−	0.0191517i
$783$	4.22776	+	7.75789i	0.151088	+	0.277244i
$784$	−26.1963	−	9.88709i	−0.935582	−	0.353110i
$785$	53.9893	−	9.51977i	1.92696	−	0.339775i
$786$	−36.2100	+	40.4198i	−1.29157	+	1.44173i
$787$	50.8741	+	8.97048i	1.81347	+	0.319763i	0.974495	−	0.224411i	$-0.0720457\pi$
$787$	50.8741	+	8.97048i	1.81347	+	0.319763i	0.838972	+	0.544174i	$0.183157\pi$
$788$	−18.7960	+	4.65030i	−0.669579	+	0.165660i
$789$	0.997755	+	0.956938i	0.0355210	+	0.0340679i
$790$	−12.5960	−	31.2575i	−0.448146	−	1.11209i
$791$	−41.6578	−	28.3481i	−1.48118	−	1.00794i
$792$	−0.744973	+	24.2058i	−0.0264715	+	0.860117i
$793$	−5.37171			−0.190755
$794$	16.5875	−	21.1916i	0.588669	−	0.752060i
$795$	−0.367991	+	0.549620i	−0.0130513	+	0.0194930i
$796$	−3.20137	+	0.792049i	−0.113470	+	0.0280734i
$797$	18.4787	+	3.25829i	0.654548	+	0.115414i	0.491053	−	0.871130i	$-0.336612\pi$
$797$	18.4787	+	3.25829i	0.654548	+	0.115414i	0.163495	+	0.986544i	$0.447723\pi$
$798$	−4.78589	−	2.34363i	−0.169419	−	0.0829637i
$799$	0.271018	+	0.322987i	0.00958794	+	0.0114265i
$800$	−7.61195	−	13.3229i	−0.269123	−	0.471036i
$801$	48.7918	+	15.4847i	1.72397	+	0.547125i
$802$	−2.69830	+	2.42515i	−0.0952804	+	0.0856351i
$803$	−2.06542	−	11.7136i	−0.0728872	−	0.413364i
$804$	−24.6560	−	29.2875i	−0.869550	−	1.03289i
$805$	−13.6105	+	13.9787i	−0.479707	+	0.492685i
$806$	0.521683	−	0.979008i	0.0183755	−	0.0344841i
$807$	−15.4161	+	34.9467i	−0.542672	+	1.23018i
$808$	2.82465	+	9.95248i	0.0993710	+	0.350127i
$809$	−39.3260	−	22.7049i	−1.38263	−	0.798260i	−0.390158	−	0.920748i	$-0.627579\pi$
$809$	−39.3260	−	22.7049i	−1.38263	−	0.798260i	−0.992470	+	0.122488i	$0.960913\pi$
$810$	35.1034	−	4.14434i	1.23341	−	0.145617i
$811$			30.1342i			1.05815i	0.848574	+	0.529077i	$0.177462\pi$
$811$			30.1342i			1.05815i	−0.848574	+	0.529077i	$0.822538\pi$
$812$	0.0532072	−	8.99706i	0.00186721	−	0.315735i
$813$	3.72225	+	5.08651i	0.130545	+	0.178392i
$814$	−0.834991	−	24.5469i	−0.0292664	−	0.860368i
$815$	−49.5562	+	18.0370i	−1.73588	+	0.631808i
$816$	−0.221830	−	3.18096i	−0.00776562	−	0.111356i
$817$	0.648407	+	3.67730i	0.0226849	+	0.128652i
$818$	−5.94981	+	18.2555i	−0.208030	+	0.638288i
$819$	−3.79507	+	0.543984i	−0.132610	+	0.0190083i
$820$	29.3273	+	21.3886i	1.02415	+	0.746923i
$821$	0.0577382	−	0.158634i	0.00201508	−	0.00553637i	−0.938681	−	0.344787i	$-0.887951\pi$
$821$	0.0577382	−	0.158634i	0.00201508	−	0.00553637i	0.940696	+	0.339250i	$0.110173\pi$
$822$	−9.38545	−	3.76447i	−0.327355	−	0.131301i
$823$	9.70889	−	11.5706i	0.338431	−	0.403326i	−0.569808	−	0.821778i	$-0.692983\pi$
$823$	9.70889	−	11.5706i	0.338431	−	0.403326i	0.908239	+	0.418452i	$0.137427\pi$
$824$	22.4181	+	15.2098i	0.780971	+	0.529857i
$825$	−13.3792	−	0.889523i	−0.465803	−	0.0309692i
$826$	−13.2660	−	41.5355i	−0.461583	−	1.44520i
$827$	1.28224	−	2.22091i	0.0445879	−	0.0772286i	−0.842870	−	0.538117i	$-0.819136\pi$
$827$	1.28224	−	2.22091i	0.0445879	−	0.0772286i	0.887458	+	0.460888i	$0.152469\pi$
$828$	11.5161	+	11.0093i	0.400213	+	0.382600i
$829$	26.3225			0.914219			0.457109	−	0.889411i	$-0.348885\pi$
$829$	26.3225			0.914219			0.457109	+	0.889411i	$0.348885\pi$
$830$	−5.59081	+	39.5216i	−0.194060	+	1.37181i
$831$	2.02080	+	1.93813i	0.0701009	+	0.0672331i
$832$	3.28805	−	2.02990i	0.113993	−	0.0703741i
$833$	2.41184	−	2.13602i	0.0835653	−	0.0740088i
$834$	12.5933	−	4.12695i	0.436071	−	0.142905i
$835$	−29.8046	−	35.5198i	−1.03143	−	1.22921i
$836$	2.76567	−	3.79219i	0.0956528	−	0.131156i
$837$	1.26020	+	8.34379i	0.0435590	+	0.288404i
$838$	−4.34803	+	13.3408i	−0.150200	+	0.460851i
$839$	3.81346	+	21.6272i	0.131655	+	0.746654i	0.977131	+	0.212640i	$0.0682061\pi$
$839$	3.81346	+	21.6272i	0.131655	+	0.746654i	−0.845475	+	0.534014i	$0.820683\pi$
$840$	−33.3288	−	13.5974i	−1.14995	−	0.469155i
$841$	−24.5344	+	8.92978i	−0.846013	+	0.307924i
$842$	−25.7564	+	16.0621i	−0.887625	+	0.553535i
$843$	12.9904	−	13.5445i	0.447415	−	0.466498i
$844$	−37.8144	+	25.4068i	−1.30162	+	0.874539i
$845$	−30.7048	−	17.7274i	−1.05628	−	0.609842i
$846$	−0.962677	−	3.76555i	−0.0330975	−	0.129462i
$847$	3.28278	+	6.80145i	0.112798	+	0.233701i
$848$	−0.256469	−	0.486583i	−0.00880719	−	0.0167093i
$849$	−25.8066	−	17.2784i	−0.885679	−	0.592994i
$850$	1.76450	−	0.0600216i	0.0605219	−	0.00205872i
$851$	−12.3778	−	10.3862i	−0.424306	−	0.356035i
$852$	35.2968	+	29.5204i	1.20925	+	1.01135i
$853$	−20.5677	+	17.2583i	−0.704224	+	0.590914i	−0.922972	−	0.384867i	$-0.874247\pi$
$853$	−20.5677	+	17.2583i	−0.704224	+	0.590914i	0.218748	+	0.975781i	$0.429803\pi$
$854$	−41.2348	+	5.58464i	−1.41102	+	0.191102i
$855$	−6.07067	−	3.17468i	−0.207613	−	0.108572i
$856$	−4.86733	−	47.5490i	−0.166362	−	1.62519i
$857$	9.42124	+	11.2278i	0.321823	+	0.383534i	0.902565	−	0.430554i	$-0.141682\pi$
$857$	9.42124	+	11.2278i	0.321823	+	0.383534i	−0.580742	+	0.814088i	$0.697237\pi$
$858$	0.109337	−	3.37499i	0.00373271	−	0.115220i
$859$	−21.4149	−	3.77602i	−0.730666	−	0.128836i	−0.204075	−	0.978955i	$-0.565419\pi$
$859$	−21.4149	−	3.77602i	−0.730666	−	0.128836i	−0.526591	+	0.850119i	$0.676530\pi$
$860$	6.05767	+	24.4844i	0.206565	+	0.834911i
$861$	29.9305	−	1.02477i	1.02003	−	0.0349242i
$862$	3.68953	−	4.71360i	0.125666	−	0.160546i
$863$	14.0757	+	24.3798i	0.479142	+	0.829899i	0.999714	−	0.0239191i	$-0.00761441\pi$
$863$	14.0757	+	24.3798i	0.479142	+	0.829899i	−0.520571	+	0.853818i	$0.674281\pi$
$864$	−10.8540	+	27.3165i	−0.369262	+	0.929325i
$865$	−5.44170	+	9.42529i	−0.185023	+	0.320470i
$866$	12.4194	+	1.75687i	0.422027	+	0.0597010i
$867$	−26.6044	−	11.7360i	−0.903533	−	0.398576i
$868$	2.98677	−	8.05751i	0.101378	−	0.273490i
$869$	15.7415	−	18.7599i	0.533992	−	0.636387i
$870$	0.374515	−	11.5604i	0.0126972	−	0.391935i
$871$	3.43132	+	4.08929i	0.116266	+	0.138560i
$872$	−7.92355	+	5.72405i	−0.268325	+	0.193841i
$873$	28.6576	−	37.2025i	0.969911	−	1.25911i
$874$	−0.639257	−	3.02088i	−0.0216232	−	0.102183i
$875$	−6.89934	+	15.3265i	−0.233240	+	0.518129i
$876$	2.48391	−	14.2215i	0.0839236	−	0.480499i
$877$	−54.3153	+	19.7692i	−1.83410	+	0.667557i	−0.842418	+	0.538825i	$0.818868\pi$
$877$	−54.3153	+	19.7692i	−1.83410	+	0.667557i	−0.991679	+	0.128732i	$0.958909\pi$
$878$	2.77967	−	0.0945538i	0.0938094	−	0.00319104i
$879$	11.1982	−	5.50927i	0.377705	−	0.185823i
$880$	16.8977	−	26.8258i	0.569622	−	0.904297i
$881$	24.3832	+	14.0776i	0.821490	+	0.474287i	0.850930	−	0.525279i	$-0.176039\pi$
$881$	24.3832	+	14.0776i	0.821490	+	0.474287i	−0.0294402	+	0.999567i	$0.509372\pi$
$882$	−28.5665	+	8.12128i	−0.961884	+	0.273458i
$883$	30.5089	−	17.6143i	1.02671	−	0.592768i	0.110666	−	0.993858i	$-0.464702\pi$
$883$	30.5089	−	17.6143i	1.02671	−	0.592768i	0.916039	+	0.401089i	$0.131368\pi$
$884$	0.0302134	+	0.443590i	0.00101619	+	0.0149196i
$885$	−15.6350	−	53.8292i	−0.525565	−	1.80945i
$886$	14.2862	+	7.61266i	0.479954	+	0.255752i
$887$	3.04288	+	2.55328i	0.102170	+	0.0857308i	0.692442	−	0.721474i	$-0.256535\pi$
$887$	3.04288	+	2.55328i	0.102170	+	0.0857308i	−0.590272	+	0.807205i	$0.700979\pi$
$888$	9.19189	−	28.3587i	0.308460	−	0.951655i
$889$	−2.01597	−	2.79884i	−0.0676134	−	0.0938701i
$890$	−44.7971	−	49.8427i	−1.50160	−	1.67073i
$891$	14.6540	+	21.0961i	0.490928	+	0.706747i
$892$	−0.951762	+	1.30502i	−0.0318674	+	0.0436954i
$893$	−0.257636	+	0.707849i	−0.00862145	+	0.0236872i
$894$	44.2025	−	14.4856i	1.47835	−	0.484471i
$895$	−13.6254	−	37.4356i	−0.455448	−	1.25133i
$896$	23.1297	−	19.0005i	0.772708	−	0.634762i
$897$	−1.60328	−	1.53769i	−0.0535319	−	0.0513420i
$898$	−36.2338	−	28.3617i	−1.20914	−	0.946443i
$899$	2.76127			0.0920934
$900$	−14.9011	−	6.54453i	−0.496702	−	0.218151i
$901$	0.0632881			0.00210843
$902$	−3.69464	+	26.1174i	−0.123018	+	0.869616i
$903$	16.3898	+	12.8231i	0.545418	+	0.426726i
$904$	48.4796	−	23.4826i	1.61241	−	0.781020i
$905$	18.0407	+	49.5664i	0.599693	+	1.64764i
$906$	−6.48972	−	45.3468i	−0.215607	−	1.50655i
$907$	16.4144	−	2.89431i	0.545032	−	0.0961039i	0.105649	−	0.994403i	$-0.466308\pi$
$907$	16.4144	−	2.89431i	0.545032	−	0.0961039i	0.439384	+	0.898300i	$0.355197\pi$
$908$	−3.87951	+	36.2803i	−0.128746	+	1.20400i
$909$	8.69301	+	6.69633i	0.288329	+	0.222103i
$910$	4.64416	+	1.90348i	0.153952	+	0.0630999i
$911$	−1.11166	−	0.404609i	−0.0368308	−	0.0134053i	0.323539	−	0.946215i	$-0.395127\pi$
$911$	−1.11166	−	0.404609i	−0.0368308	−	0.0134053i	−0.360370	+	0.932810i	$0.617350\pi$
$912$	4.72351	−	3.18475i	0.156411	−	0.105458i
$913$	−27.2565	+	9.92055i	−0.902058	+	0.328322i
$914$	−21.8289	+	13.6128i	−0.722035	+	0.450271i
$915$	−53.1814	+	5.77382i	−1.75812	+	0.190877i
$916$	26.5322	−	1.80714i	0.876649	−	0.0597095i
$917$	32.9765	−	48.4592i	1.08898	−	1.60026i
$918$	−2.19817	−	2.57036i	−0.0725503	−	0.0848346i
$919$	−32.1547	+	18.5645i	−1.06069	+	0.612387i	−0.925622	−	0.378449i	$-0.876457\pi$
$919$	−32.1547	+	18.5645i	−1.06069	+	0.612387i	−0.135064	+	0.990837i	$0.543124\pi$
$920$	−5.69470	−	20.0649i	−0.187749	−	0.661519i
$921$	6.40342	−	14.5159i	0.211000	−	0.478316i
$922$	19.5620	−	0.665426i	0.644242	−	0.0219146i
$923$	−4.91499	−	4.12416i	−0.161779	−	0.135748i
$924$	−2.66947	−	26.0211i	−0.0878192	−	0.856031i
$925$	15.5105	+	5.64536i	0.509982	+	0.185618i
$926$	1.54016	+	7.27821i	0.0506127	+	0.239177i
$927$	28.7090	−	1.19950i	0.942928	−	0.0393967i
$928$	8.30799	+	4.84679i	0.272723	+	0.159104i
$929$	13.7015	−	37.6447i	0.449533	−	1.23508i	−0.483517	−	0.875335i	$-0.660641\pi$
$929$	13.7015	−	37.6447i	0.449533	−	1.23508i	0.933050	−	0.359747i	$-0.117137\pi$
$930$	4.11251	−	10.2532i	0.134855	−	0.336215i
$931$	5.45939	+	1.82357i	0.178924	+	0.0597651i
$932$	0.154467	−	0.535041i	0.00505975	−	0.0175259i
$933$	27.3670	−	40.8745i	0.895955	−	1.33817i
$934$	−9.93717	+	12.6953i	−0.325154	+	0.415404i
$935$	1.82397	+	3.15921i	0.0596502	+	0.103317i
$936$	1.51961	−	3.80645i	0.0496699	−	0.124418i
$937$	24.0314	+	41.6237i	0.785073	+	1.35979i	0.928956	+	0.370191i	$0.120708\pi$
$937$	24.0314	+	41.6237i	0.785073	+	1.35979i	−0.143883	+	0.989595i	$0.545959\pi$
$938$	30.5912	+	27.8232i	0.998838	+	0.908461i
$939$	12.4741	−	50.7712i	0.407078	−	1.65685i
$940$	−1.41134	+	4.88858i	−0.0460330	+	0.159448i
$941$	−43.5398	−	7.67724i	−1.41936	−	0.250271i	−0.589284	−	0.807926i	$-0.700590\pi$
$941$	−43.5398	−	7.67724i	−1.41936	−	0.250271i	−0.830073	+	0.557655i	$0.811701\pi$
$942$	15.0582	+	45.9498i	0.490623	+	1.49713i
$943$	11.1543	+	13.2932i	0.363235	+	0.432886i
$944$	45.5591	+	9.85612i	1.48282	+	0.320790i
$945$	−36.9875	+	9.46476i	−1.20320	+	0.307889i
$946$	−13.6321	+	12.2521i	−0.443219	+	0.398352i
$947$	7.44506	−	6.24714i	0.241932	−	0.203005i	−0.513757	−	0.857936i	$-0.671747\pi$
$947$	7.44506	−	6.24714i	0.241932	−	0.203005i	0.755689	+	0.654931i	$0.227302\pi$
$948$	25.7177	−	14.9037i	0.835273	−	0.484049i
$949$	−0.349555	+	1.98242i	−0.0113470	+	0.0643522i
$950$	1.66908	+	2.67647i	0.0541522	+	0.0868361i
$951$	−1.62454	−	5.59306i	−0.0526792	−	0.181367i
$952$	0.693101	+	3.37372i	0.0224635	+	0.109343i
$953$	32.6983	−	18.8784i	1.05920	−	0.611531i	0.133992	−	0.990982i	$-0.457220\pi$
$953$	32.6983	−	18.8784i	1.05920	−	0.611531i	0.925212	+	0.379451i	$0.123887\pi$
$954$	−0.525869	−	0.252623i	−0.0170256	−	0.00817898i
$955$	57.0823	−	32.9565i	1.84714	−	1.06645i
$956$	−38.6364	+	2.63157i	−1.24959	+	0.0851111i
$957$	7.54190	−	3.71046i	0.243795	−	0.119942i
$958$	−16.3364	+	10.1876i	−0.527805	+	0.329146i
$959$	10.5871	+	2.68589i	0.341876	+	0.0867319i
$960$	30.3708	−	23.6308i	0.980212	−	0.762680i
$961$	−26.6522	−	9.70062i	−0.859749	−	0.312923i
$962$	−1.28808	+	3.95214i	−0.0415293	+	0.127422i
$963$	−34.1801	−	37.4419i	−1.10144	−	1.20655i
$964$	−27.2520	−	19.8751i	−0.877728	−	0.640133i
$965$	17.7192	−	48.6830i	0.570400	−	1.56716i
$966$	−13.9059	−	10.1369i	−0.447414	−	0.326150i
$967$	−34.3359	+	40.9200i	−1.10417	+	1.31590i	−0.159749	+	0.987158i	$0.551068\pi$
$967$	−34.3359	+	40.9200i	−1.10417	+	1.31590i	−0.944421	+	0.328740i	$0.893376\pi$
$968$	−8.05247	−	0.585022i	−0.258816	−	0.0188033i
$969$	0.0707499	+	0.651662i	0.00227282	+	0.0209344i
$970$	−57.0226	+	22.9787i	−1.83089	+	0.737802i
$971$	−5.16615	−	8.94804i	−0.165790	−	0.287156i	0.771146	−	0.636659i	$-0.219684\pi$
$971$	−5.16615	−	8.94804i	−0.165790	−	0.287156i	−0.936935	+	0.349502i	$0.886351\pi$
$972$	8.00488	+	30.1317i	0.256757	+	0.966476i
$973$	−12.8911	+	6.22201i	−0.413270	+	0.199468i
$974$	−27.7919	−	21.7539i	−0.890510	−	0.697040i
$975$	2.07626	+	0.915904i	0.0664937	+	0.0293324i
$976$	16.8131	−	41.1846i	0.538173	−	1.31829i
$977$	−14.3259	−	39.3601i	−0.458326	−	1.25924i	−0.926730	−	0.375727i	$-0.877393\pi$
$977$	−14.3259	−	39.3601i	−0.458326	−	1.25924i	0.468404	−	0.883514i	$-0.344829\pi$
$978$	−21.9409	−	41.0149i	−0.701591	−	1.31151i
$979$	16.6561	−	45.7624i	0.532333	−	1.46257i
$980$	37.6289	+	9.78344i	1.20201	+	0.312521i
$981$	−3.13620	+	9.88206i	−0.100131	+	0.315510i
$982$	5.16010	+	5.74130i	0.164665	+	0.183212i
$983$	3.03493	+	17.2119i	0.0967991	+	0.548975i	0.994181	+	0.107721i	$0.0343552\pi$
$983$	3.03493	+	17.2119i	0.0967991	+	0.548975i	−0.897382	+	0.441254i	$0.854534\pi$
$984$	−15.0103	+	28.2790i	−0.478511	+	0.901502i
$985$	25.2650	−	9.19570i	0.805009	−	0.292999i
$986$	−0.939076	+	0.585621i	−0.0299063	+	0.0186500i
$987$	1.56997	+	3.89345i	0.0499727	+	0.123930i
$988$	−0.659345	+	0.443002i	−0.0209766	+	0.0140938i
$989$			12.0581i			0.383426i
$990$	−2.54517	−	33.5309i	−0.0808909	−	1.06568i
$991$			23.9250i			0.760002i	0.924986	+	0.380001i	$0.124076\pi$
$991$			23.9250i			0.760002i	−0.924986	+	0.380001i	$0.875924\pi$
$992$	5.87317	+	7.06394i	0.186473	+	0.224280i
$993$	−0.0230079	−	0.0792132i	−0.000730135	−	0.00251375i
$994$	−42.0165	−	26.5485i	−1.33268	−	0.842066i
$995$	4.30318	−	1.56623i	0.136420	−	0.0496529i
$996$	−35.2058	+	0.0569660i	−1.11554	+	0.00180504i
$997$	13.3039	+	4.84221i	0.421338	+	0.153354i	0.543983	−	0.839096i	$-0.316916\pi$
$997$	13.3039	+	4.84221i	0.421338	+	0.153354i	−0.122645	+	0.992451i	$0.539138\pi$
$998$	−1.64069	−	7.75326i	−0.0519350	−	0.245425i
$999$	−10.0794	−	29.9700i	−0.318900	−	0.948207i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	756.2.ci.a.95.6	yes	840
4.3	odd	2	inner	756.2.ci.a.95.73	yes	840
7.2	even	3		756.2.bs.a.527.88	yes	840
27.2	odd	18		756.2.bs.a.515.22	✓	840
28.23	odd	6		756.2.bs.a.527.22	yes	840
108.83	even	18		756.2.bs.a.515.88	yes	840
189.2	odd	18	inner	756.2.ci.a.191.73	yes	840
756.191	even	18	inner	756.2.ci.a.191.6	yes	840

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
756.2.bs.a.515.22	✓	840	27.2	odd	18
756.2.bs.a.515.88	yes	840	108.83	even	18
756.2.bs.a.527.22	yes	840	28.23	odd	6
756.2.bs.a.527.88	yes	840	7.2	even	3
756.2.ci.a.95.6	yes	840	1.1	even	1	trivial
756.2.ci.a.95.73	yes	840	4.3	odd	2	inner
756.2.ci.a.191.6	yes	840	756.191	even	18	inner
756.2.ci.a.191.73	yes	840	189.2	odd	18	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 756 = 2^{2} \cdot 3^{3} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	756.ci (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.40027 - 0.198086i) q^{2} +(0.186948 + 1.72193i) q^{3} +(1.92152 + 0.554748i) q^{4} +(-2.73494 - 0.482245i) q^{5} +(0.0793128 - 2.44821i) q^{6} +(0.265748 + 2.63237i) q^{7} +(-2.58077 - 1.15742i) q^{8} +(-2.93010 + 0.643822i) q^{9} +O(q^{10})\)	\(q+(-1.40027 - 0.198086i) q^{2} +(0.186948 + 1.72193i) q^{3} +(1.92152 + 0.554748i) q^{4} +(-2.73494 - 0.482245i) q^{5} +(0.0793128 - 2.44821i) q^{6} +(0.265748 + 2.63237i) q^{7} +(-2.58077 - 1.15742i) q^{8} +(-2.93010 + 0.643822i) q^{9} +(3.73414 + 1.21703i) q^{10} +(0.495598 + 2.81068i) q^{11} +(-0.596014 + 3.41244i) q^{12} +(0.0838757 - 0.475682i) q^{13} +(0.149315 - 3.73868i) q^{14} +(0.319101 - 4.79954i) q^{15} +(3.38451 + 2.13192i) q^{16} +(-0.398586 + 0.230124i) q^{17} +(4.23047 - 0.321115i) q^{18} +(-0.712107 - 0.411135i) q^{19} +(-4.98774 - 2.44385i) q^{20} +(-4.48308 + 0.949716i) q^{21} +(-0.137217 - 4.03388i) q^{22} +(-2.03409 - 1.70681i) q^{23} +(1.51054 - 4.66029i) q^{24} +(2.54890 + 0.927724i) q^{25} +(-0.211675 + 0.649470i) q^{26} +(-1.65639 - 4.92507i) q^{27} +(-0.949661 + 5.20559i) q^{28} +(-1.67448 + 0.295256i) q^{29} +(-1.39755 + 6.65746i) q^{30} +(-1.59930 - 0.282000i) q^{31} +(-4.31693 - 3.65570i) q^{32} +(-4.74714 + 1.37884i) q^{33} +(0.603713 - 0.243282i) q^{34} +(0.542640 - 7.32755i) q^{35} +(-5.98742 - 0.388348i) q^{36} +6.08518 q^{37} +(0.915704 + 0.716759i) q^{38} +(0.834773 + 0.0555005i) q^{39} +(6.50010 + 4.41005i) q^{40} +(-6.43592 - 1.13483i) q^{41} +(6.46566 - 0.441826i) q^{42} +(-2.91898 - 3.47870i) q^{43} +(-0.606913 + 5.67571i) q^{44} +(8.32414 - 0.347793i) q^{45} +(2.51019 + 2.79292i) q^{46} +(-0.159078 - 0.902176i) q^{47} +(-3.03830 + 6.22645i) q^{48} +(-6.85876 + 1.39910i) q^{49} +(-3.38538 - 1.80397i) q^{50} +(-0.470772 - 0.643317i) q^{51} +(0.425053 - 0.867505i) q^{52} +(-0.119086 - 0.0687544i) q^{53} +(1.34381 + 7.22455i) q^{54} -7.92604i q^{55} +(2.36094 - 7.10113i) q^{56} +(0.574820 - 1.30306i) q^{57} +(2.40322 - 0.0817482i) q^{58} +(10.9505 - 3.98565i) q^{59} +(3.27570 - 9.04542i) q^{60} +(-1.93115 - 10.9521i) q^{61} +(2.18360 + 0.711676i) q^{62} +(-2.47345 - 7.54202i) q^{63} +(5.32074 + 5.97409i) q^{64} +(-0.458791 + 1.26052i) q^{65} +(6.92042 - 0.990403i) q^{66} +(-7.10388 + 8.46608i) q^{67} +(-0.893553 + 0.221074i) q^{68} +(2.55874 - 3.82165i) q^{69} +(-2.21133 + 10.1531i) q^{70} +(6.64160 - 11.5036i) q^{71} +(8.30709 + 1.72982i) q^{72} -4.16754 q^{73} +(-8.52090 - 1.20539i) q^{74} +(-1.12097 + 4.56247i) q^{75} +(-1.14025 - 1.18505i) q^{76} +(-7.26704 + 2.05153i) q^{77} +(-1.15792 - 0.243073i) q^{78} +(-5.51551 - 6.57313i) q^{79} +(-8.22834 - 7.46285i) q^{80} +(8.17099 - 3.77293i) q^{81} +(8.78724 + 2.86393i) q^{82} +(1.76480 + 10.0087i) q^{83} +(-9.14121 - 0.662080i) q^{84} +(1.20109 - 0.437160i) q^{85} +(3.39828 + 5.44934i) q^{86} +(-0.821452 - 2.82815i) q^{87} +(1.97412 - 7.82732i) q^{88} +(-14.7773 - 8.53166i) q^{89} +(-11.7250 - 1.16189i) q^{90} +(1.27446 + 0.0943801i) q^{91} +(-2.96171 - 4.40808i) q^{92} +(0.186599 - 2.80661i) q^{93} +(0.0440442 + 1.29480i) q^{94} +(1.74931 + 1.46784i) q^{95} +(5.48782 - 8.11689i) q^{96} +(-11.9913 + 10.0619i) q^{97} +(9.88127 - 0.600493i) q^{98} +(-3.26173 - 7.91649i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 840 q - 3 q^{2} - 3 q^{4} - 6 q^{5} - 12 q^{6} - 18 q^{8} - 6 q^{9}+O(q^{10}) \) 840 * q - 3 * q^2 - 3 * q^4 - 6 * q^5 - 12 * q^6 - 18 * q^8 - 6 * q^9	\( 840 q - 3 q^{2} - 3 q^{4} - 6 q^{5} - 12 q^{6} - 18 q^{8} - 6 q^{9} + 3 q^{10} - 3 q^{12} - 24 q^{13} + 24 q^{14} - 3 q^{16} - 18 q^{17} - 3 q^{18} - 12 q^{20} - 12 q^{21} - 12 q^{22} + 48 q^{24} - 6 q^{25} - 12 q^{28} - 12 q^{29} - 21 q^{30} - 63 q^{32} - 6 q^{33} - 6 q^{34} - 42 q^{36} - 12 q^{37} + 45 q^{38} - 33 q^{40} - 24 q^{41} - 21 q^{42} + 6 q^{45} - 6 q^{46} - 78 q^{48} - 12 q^{49} - 27 q^{50} - 3 q^{52} + 39 q^{54} - 27 q^{56} - 6 q^{57} - 3 q^{58} - 63 q^{60} - 6 q^{61} - 117 q^{62} - 6 q^{64} - 54 q^{65} - 3 q^{66} - 12 q^{68} - 48 q^{69} - 21 q^{70} - 9 q^{72} - 12 q^{73} + 15 q^{74} + 12 q^{77} + 6 q^{78} - 54 q^{81} - 6 q^{82} - 39 q^{84} + 6 q^{85} - 9 q^{86} - 27 q^{88} - 18 q^{89} - 39 q^{90} + 48 q^{92} - 6 q^{93} - 3 q^{94} + 213 q^{96} - 24 q^{97} + 162 q^{98}+O(q^{100}) \) 840 * q - 3 * q^2 - 3 * q^4 - 6 * q^5 - 12 * q^6 - 18 * q^8 - 6 * q^9 + 3 * q^10 - 3 * q^12 - 24 * q^13 + 24 * q^14 - 3 * q^16 - 18 * q^17 - 3 * q^18 - 12 * q^20 - 12 * q^21 - 12 * q^22 + 48 * q^24 - 6 * q^25 - 12 * q^28 - 12 * q^29 - 21 * q^30 - 63 * q^32 - 6 * q^33 - 6 * q^34 - 42 * q^36 - 12 * q^37 + 45 * q^38 - 33 * q^40 - 24 * q^41 - 21 * q^42 + 6 * q^45 - 6 * q^46 - 78 * q^48 - 12 * q^49 - 27 * q^50 - 3 * q^52 + 39 * q^54 - 27 * q^56 - 6 * q^57 - 3 * q^58 - 63 * q^60 - 6 * q^61 - 117 * q^62 - 6 * q^64 - 54 * q^65 - 3 * q^66 - 12 * q^68 - 48 * q^69 - 21 * q^70 - 9 * q^72 - 12 * q^73 + 15 * q^74 + 12 * q^77 + 6 * q^78 - 54 * q^81 - 6 * q^82 - 39 * q^84 + 6 * q^85 - 9 * q^86 - 27 * q^88 - 18 * q^89 - 39 * q^90 + 48 * q^92 - 6 * q^93 - 3 * q^94 + 213 * q^96 - 24 * q^97 + 162 * q^98

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