LMFDB - Embedded newform 354.2.e.d.85.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [354,2,Mod(7,354)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(354, base_ring=CyclotomicField(58))

chi = DirichletCharacter(H, H._module([0, 18]))

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

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

chi := DirichletCharacter("354.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 354 = 2 \cdot 3 \cdot 59 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	354.e (of order $29$, degree $28$, 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:	$2.82670423155$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$3$ over $\Q(\zeta_{29})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label			85.3
Character	$\chi$	$=$	354.85
Dual form			354.2.e.d.25.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.796093 + 0.605174i) q^{2} +(0.468408 - 0.883512i) q^{3} +(0.267528 - 0.963550i) q^{4} +(2.10011 - 1.98933i) q^{5} +(0.161782 + 0.986827i) q^{6} +(-0.956124 - 1.12564i) q^{7} +(0.370138 + 0.928977i) q^{8} +(-0.561187 - 0.827689i) q^{9} +O(q^{10})$	\(q+(-0.796093 + 0.605174i) q^{2} +(0.468408 - 0.883512i) q^{3} +(0.267528 - 0.963550i) q^{4} +(2.10011 - 1.98933i) q^{5} +(0.161782 + 0.986827i) q^{6} +(-0.956124 - 1.12564i) q^{7} +(0.370138 + 0.928977i) q^{8} +(-0.561187 - 0.827689i) q^{9} +(-0.467991 + 2.85462i) q^{10} +(-0.696488 + 0.419063i) q^{11} +(-0.725995 - 0.687699i) q^{12} +(2.18852 - 3.22782i) q^{13} +(1.44237 + 0.317490i) q^{14} +(-0.773887 - 2.78729i) q^{15} +(-0.856857 - 0.515554i) q^{16} +(-2.34306 + 2.75846i) q^{17} +(0.947653 + 0.319302i) q^{18} +(-5.92257 - 2.74007i) q^{19} +(-1.35498 - 2.55576i) q^{20} +(-1.44237 + 0.317490i) q^{21} +(0.300863 - 0.755110i) q^{22} +(2.51548 - 0.847563i) q^{23} +(0.994138 + 0.108119i) q^{24} +(0.182333 - 3.36294i) q^{25} +(0.211131 + 3.89408i) q^{26} +(-0.994138 + 0.108119i) q^{27} +(-1.34040 + 0.620134i) q^{28} +(3.09017 + 2.34908i) q^{29} +(2.30288 + 1.75060i) q^{30} +(4.11765 - 1.90503i) q^{31} +(0.994138 - 0.108119i) q^{32} +(0.0440063 + 0.811648i) q^{33} +(0.195943 - 3.61395i) q^{34} +(-4.24722 - 0.461913i) q^{35} +(-0.947653 + 0.319302i) q^{36} +(3.16105 - 7.93363i) q^{37} +(6.37313 - 1.40283i) q^{38} +(-1.82670 - 3.44552i) q^{39} +(2.62537 + 1.21463i) q^{40} +(10.4927 + 3.53540i) q^{41} +(0.956124 - 1.12564i) q^{42} +(-1.54176 - 0.927644i) q^{43} +(0.217458 + 0.783212i) q^{44} +(-2.82510 - 0.621851i) q^{45} +(-1.48963 + 2.19704i) q^{46} +(3.47748 + 3.29405i) q^{47} +(-0.856857 + 0.515554i) q^{48} +(0.779590 - 4.75529i) q^{49} +(1.89001 + 2.78756i) q^{50} +(1.33963 + 3.36221i) q^{51} +(-2.52467 - 2.97228i) q^{52} +(1.45220 + 8.85801i) q^{53} +(0.725995 - 0.687699i) q^{54} +(-0.629047 + 2.26562i) q^{55} +(0.691792 - 1.30486i) q^{56} +(-5.19507 + 3.94919i) q^{57} -3.88166 q^{58} +(-7.48650 + 1.71824i) q^{59} -2.89273 q^{60} +(-6.21525 + 4.72471i) q^{61} +(-2.12516 + 4.00847i) q^{62} +(-0.395112 + 1.42307i) q^{63} +(-0.725995 + 0.687699i) q^{64} +(-1.82507 - 11.1324i) q^{65} +(-0.526222 - 0.619516i) q^{66} +(4.54824 + 11.4152i) q^{67} +(2.03108 + 2.99562i) q^{68} +(0.429439 - 2.61946i) q^{69} +(3.66072 - 2.20258i) q^{70} +(-2.15177 - 2.03827i) q^{71} +(0.561187 - 0.827689i) q^{72} +(2.59857 + 0.571988i) q^{73} +(2.28474 + 8.22889i) q^{74} +(-2.88579 - 1.73632i) q^{75} +(-4.22465 + 4.97364i) q^{76} +(1.13764 + 0.383316i) q^{77} +(3.53936 + 1.63748i) q^{78} +(0.107592 + 0.202940i) q^{79} +(-2.82510 + 0.621851i) q^{80} +(-0.370138 + 0.928977i) q^{81} +(-10.4927 + 3.53540i) q^{82} +(1.27151 + 0.138285i) q^{83} +(-0.0799577 + 1.47473i) q^{84} +(0.566809 + 10.4542i) q^{85} +(1.78877 - 0.194540i) q^{86} +(3.52290 - 1.62987i) q^{87} +(-0.647097 - 0.491910i) q^{88} +(-6.09370 - 4.63231i) q^{89} +(2.62537 - 1.21463i) q^{90} +(-5.72584 + 0.622723i) q^{91} +(-0.143708 - 2.65053i) q^{92} +(0.245627 - 4.53032i) q^{93} +(-4.76187 - 0.517885i) q^{94} +(-17.8889 + 6.02748i) q^{95} +(0.370138 - 0.928977i) q^{96} +(8.42688 - 1.85490i) q^{97} +(2.25715 + 4.25744i) q^{98} +(0.737714 + 0.341303i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 2 q^{5} + 3 q^{6} - 7 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) $ 84 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 2 * q^5 + 3 * q^6 - 7 * q^7 + 3 * q^8 - 3 * q^9	\( 84 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 2 q^{5} + 3 q^{6} - 7 q^{7} + 3 q^{8} - 3 q^{9} + 2 q^{10} + 30 q^{11} - 3 q^{12} - 3 q^{13} + 7 q^{14} - 2 q^{15} - 3 q^{16} + 3 q^{17} + 3 q^{18} - 4 q^{19} - 2 q^{20} - 7 q^{21} - q^{22} + 2 q^{23} + 3 q^{24} - 67 q^{25} + 32 q^{26} - 3 q^{27} - 7 q^{28} + 4 q^{29} + 2 q^{30} - 6 q^{31} + 3 q^{32} + q^{33} + 26 q^{34} + 79 q^{35} - 3 q^{36} + 55 q^{37} + 4 q^{38} - 3 q^{39} + 2 q^{40} + q^{41} + 7 q^{42} + 51 q^{43} + q^{44} - 2 q^{45} - 31 q^{46} - 62 q^{47} - 3 q^{48} - 70 q^{49} + 9 q^{50} + 3 q^{51} - 32 q^{52} - 27 q^{53} + 3 q^{54} - 83 q^{55} + 7 q^{56} - 4 q^{57} - 120 q^{58} - 55 q^{59} + 56 q^{60} - 46 q^{61} - 23 q^{62} - 7 q^{63} - 3 q^{64} - 121 q^{65} - q^{66} + 8 q^{67} - 26 q^{68} - 27 q^{69} - 50 q^{70} - 61 q^{71} + 3 q^{72} + 49 q^{73} - 26 q^{74} - 9 q^{75} + 25 q^{76} + 77 q^{77} + 3 q^{78} - 5 q^{79} - 2 q^{80} - 3 q^{81} - q^{82} + 75 q^{83} - 7 q^{84} + 189 q^{85} + 65 q^{86} - 25 q^{87} - 30 q^{88} + 54 q^{89} + 2 q^{90} - 161 q^{91} + 2 q^{92} + 23 q^{93} + 33 q^{94} - 54 q^{95} + 3 q^{96} + 28 q^{97} + 12 q^{98} + q^{99}+O(q^{100}) \) 84 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 2 * q^5 + 3 * q^6 - 7 * q^7 + 3 * q^8 - 3 * q^9 + 2 * q^10 + 30 * q^11 - 3 * q^12 - 3 * q^13 + 7 * q^14 - 2 * q^15 - 3 * q^16 + 3 * q^17 + 3 * q^18 - 4 * q^19 - 2 * q^20 - 7 * q^21 - q^22 + 2 * q^23 + 3 * q^24 - 67 * q^25 + 32 * q^26 - 3 * q^27 - 7 * q^28 + 4 * q^29 + 2 * q^30 - 6 * q^31 + 3 * q^32 + q^33 + 26 * q^34 + 79 * q^35 - 3 * q^36 + 55 * q^37 + 4 * q^38 - 3 * q^39 + 2 * q^40 + q^41 + 7 * q^42 + 51 * q^43 + q^44 - 2 * q^45 - 31 * q^46 - 62 * q^47 - 3 * q^48 - 70 * q^49 + 9 * q^50 + 3 * q^51 - 32 * q^52 - 27 * q^53 + 3 * q^54 - 83 * q^55 + 7 * q^56 - 4 * q^57 - 120 * q^58 - 55 * q^59 + 56 * q^60 - 46 * q^61 - 23 * q^62 - 7 * q^63 - 3 * q^64 - 121 * q^65 - q^66 + 8 * q^67 - 26 * q^68 - 27 * q^69 - 50 * q^70 - 61 * q^71 + 3 * q^72 + 49 * q^73 - 26 * q^74 - 9 * q^75 + 25 * q^76 + 77 * q^77 + 3 * q^78 - 5 * q^79 - 2 * q^80 - 3 * q^81 - q^82 + 75 * q^83 - 7 * q^84 + 189 * q^85 + 65 * q^86 - 25 * q^87 - 30 * q^88 + 54 * q^89 + 2 * q^90 - 161 * q^91 + 2 * q^92 + 23 * q^93 + 33 * q^94 - 54 * q^95 + 3 * q^96 + 28 * q^97 + 12 * q^98 + q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/354\mathbb{Z}\right)^\times$.

$n$	$61$	$119$
$\chi(n)$	$e\left(\frac{23}{29}\right)$	$1$

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 $

$2$	−0.796093	+	0.605174i	−0.562923	+	0.427923i
$2$	−0.796093	+	0.605174i	−0.562923	+	0.427923i
$3$	0.468408	−	0.883512i	0.270436	−	0.510096i
$3$	0.468408	−	0.883512i	0.270436	−	0.510096i
$4$	0.267528	−	0.963550i	0.133764	−	0.481775i
$5$	2.10011	−	1.98933i	0.939197	−	0.889654i	−0.0548625	−	0.998494i	$-0.517472\pi$
$5$	2.10011	−	1.98933i	0.939197	−	0.889654i	0.994059	+	0.108839i	$0.0347134\pi$
$6$	0.161782	+	0.986827i	0.0660472	+	0.402870i
$7$	−0.956124	−	1.12564i	−0.361381	−	0.425450i	0.551183	−	0.834384i	$-0.314177\pi$
$7$	−0.956124	−	1.12564i	−0.361381	−	0.425450i	−0.912564	+	0.408934i	$0.865901\pi$
$8$	0.370138	+	0.928977i	0.130864	+	0.328443i
$9$	−0.561187	−	0.827689i	−0.187062	−	0.275896i
$10$	−0.467991	+	2.85462i	−0.147992	+	0.902711i
$11$	−0.696488	+	0.419063i	−0.209999	+	0.126352i	−0.616668	−	0.787223i	$-0.711518\pi$
$11$	−0.696488	+	0.419063i	−0.209999	+	0.126352i	0.406669	+	0.913576i	$0.366690\pi$
$12$	−0.725995	−	0.687699i	−0.209577	−	0.198522i
$13$	2.18852	−	3.22782i	0.606985	−	0.895236i	−0.392717	−	0.919659i	$-0.628465\pi$
$13$	2.18852	−	3.22782i	0.606985	−	0.895236i	0.999702	+	0.0244237i	$0.00777508\pi$
$14$	1.44237	+	0.317490i	0.385489	+	0.0848527i
$15$	−0.773887	−	2.78729i	−0.199817	−	0.719675i
$16$	−0.856857	−	0.515554i	−0.214214	−	0.128888i
$17$	−2.34306	+	2.75846i	−0.568275	+	0.669025i	−0.968968	−	0.247187i	$-0.920494\pi$
$17$	−2.34306	+	2.75846i	−0.568275	+	0.669025i	0.400693	+	0.916213i	$0.368770\pi$
$18$	0.947653	+	0.319302i	0.223364	+	0.0752601i
$19$	−5.92257	−	2.74007i	−1.35873	−	0.628615i	−0.400945	−	0.916102i	$-0.631318\pi$
$19$	−5.92257	−	2.74007i	−1.35873	−	0.628615i	−0.957785	+	0.287487i	$0.907180\pi$
$20$	−1.35498	−	2.55576i	−0.302982	−	0.571485i
$21$	−1.44237	+	0.317490i	−0.314751	+	0.0692819i
$22$	0.300863	−	0.755110i	0.0641443	−	0.160990i
$23$	2.51548	−	0.847563i	0.524513	−	0.176729i	−0.0445743	−	0.999006i	$-0.514193\pi$
$23$	2.51548	−	0.847563i	0.524513	−	0.176729i	0.569087	+	0.822277i	$0.307297\pi$
$24$	0.994138	+	0.108119i	0.202928	+	0.0220697i
$25$	0.182333	−	3.36294i	0.0364667	−	0.672588i
$26$	0.211131	+	3.89408i	0.0414061	+	0.763691i
$27$	−0.994138	+	0.108119i	−0.191322	+	0.0208075i
$28$	−1.34040	+	0.620134i	−0.253311	+	0.117194i
$29$	3.09017	+	2.34908i	0.573829	+	0.436214i	0.851419	−	0.524486i	$-0.175742\pi$
$29$	3.09017	+	2.34908i	0.573829	+	0.436214i	−0.277590	+	0.960700i	$0.589536\pi$
$30$	2.30288	+	1.75060i	0.420447	+	0.319615i
$31$	4.11765	−	1.90503i	0.739551	−	0.342153i	−0.0136821	−	0.999906i	$-0.504355\pi$
$31$	4.11765	−	1.90503i	0.739551	−	0.342153i	0.753233	+	0.657754i	$0.228493\pi$
$32$	0.994138	−	0.108119i	0.175740	−	0.0191129i
$33$	0.0440063	+	0.811648i	0.00766051	+	0.141290i
$34$	0.195943	−	3.61395i	0.0336039	−	0.619787i
$35$	−4.24722	−	0.461913i	−0.717912	−	0.0780776i
$36$	−0.947653	+	0.319302i	−0.157942	+	0.0532169i
$37$	3.16105	−	7.93363i	0.519673	−	1.30428i	−0.401761	−	0.915745i	$-0.631602\pi$
$37$	3.16105	−	7.93363i	0.519673	−	1.30428i	0.921434	−	0.388536i	$-0.127019\pi$
$38$	6.37313	−	1.40283i	1.03386	−	0.227570i
$39$	−1.82670	−	3.44552i	−0.292506	−	0.551724i
$40$	2.62537	+	1.21463i	0.415107	+	0.192049i
$41$	10.4927	+	3.53540i	1.63869	+	0.552137i	0.979778	−	0.200087i	$-0.0641224\pi$
$41$	10.4927	+	3.53540i	1.63869	+	0.552137i	0.658907	+	0.752224i	$0.271019\pi$
$42$	0.956124	−	1.12564i	0.147533	−	0.173689i
$43$	−1.54176	−	0.927644i	−0.235116	−	0.141464i	0.393121	−	0.919487i	$-0.371395\pi$
$43$	−1.54176	−	0.927644i	−0.235116	−	0.141464i	−0.628237	+	0.778022i	$0.716223\pi$
$44$	0.217458	+	0.783212i	0.0327830	+	0.118074i
$45$	−2.82510	−	0.621851i	−0.421141	−	0.0927001i
$46$	−1.48963	+	2.19704i	−0.219634	+	0.323936i
$47$	3.47748	+	3.29405i	0.507243	+	0.480486i	0.897992	−	0.440011i	$-0.145025\pi$
$47$	3.47748	+	3.29405i	0.507243	+	0.480486i	−0.390749	+	0.920497i	$0.627784\pi$
$48$	−0.856857	+	0.515554i	−0.123677	+	0.0744138i
$49$	0.779590	−	4.75529i	0.111370	−	0.679327i
$50$	1.89001	+	2.78756i	0.267288	+	0.394220i
$51$	1.33963	+	3.36221i	0.187585	+	0.470803i
$52$	−2.52467	−	2.97228i	−0.350109	−	0.412181i
$53$	1.45220	+	8.85801i	0.199475	+	1.21674i	0.876726	+	0.480990i	$0.159723\pi$
$53$	1.45220	+	8.85801i	0.199475	+	1.21674i	−0.677252	+	0.735752i	$0.736829\pi$
$54$	0.725995	−	0.687699i	0.0987955	−	0.0935840i
$55$	−0.629047	+	2.26562i	−0.0848206	+	0.305496i
$56$	0.691792	−	1.30486i	0.0924446	−	0.174369i
$57$	−5.19507	+	3.94919i	−0.688103	+	0.523083i
$58$	−3.88166			−0.509687
$59$	−7.48650	+	1.71824i	−0.974659	+	0.223695i
$59$	−7.48650	+	1.71824i	−0.974659	+	0.223695i
$60$	−2.89273			−0.373450
$61$	−6.21525	+	4.72471i	−0.795781	+	0.604937i	−0.922055	−	0.387058i	$-0.873491\pi$
$61$	−6.21525	+	4.72471i	−0.795781	+	0.604937i	0.126274	+	0.991995i	$0.459698\pi$
$62$	−2.12516	+	4.00847i	−0.269895	+	0.509076i
$63$	−0.395112	+	1.42307i	−0.0497795	+	0.179289i
$64$	−0.725995	+	0.687699i	−0.0907494	+	0.0859624i
$65$	−1.82507	−	11.1324i	−0.226372	−	1.38081i
$66$	−0.526222	−	0.619516i	−0.0647734	−	0.0762572i
$67$	4.54824	+	11.4152i	0.555656	+	1.39459i	0.891649	+	0.452727i	$0.149549\pi$
$67$	4.54824	+	11.4152i	0.555656	+	1.39459i	−0.335994	+	0.941864i	$0.609072\pi$
$68$	2.03108	+	2.99562i	0.246305	+	0.363272i
$69$	0.429439	−	2.61946i	0.0516983	−	0.315346i
$70$	3.66072	−	2.20258i	0.437540	−	0.263259i
$71$	−2.15177	−	2.03827i	−0.255368	−	0.241898i	0.549296	−	0.835628i	$-0.314896\pi$
$71$	−2.15177	−	2.03827i	−0.255368	−	0.241898i	−0.804664	+	0.593730i	$0.797655\pi$
$72$	0.561187	−	0.827689i	0.0661365	−	0.0975441i
$73$	2.59857	+	0.571988i	0.304139	+	0.0669461i	0.364418	−	0.931235i	$-0.381268\pi$
$73$	2.59857	+	0.571988i	0.304139	+	0.0669461i	−0.0602788	+	0.998182i	$0.519199\pi$
$74$	2.28474	+	8.22889i	0.265596	+	0.956589i
$75$	−2.88579	−	1.73632i	−0.333222	−	0.200493i
$76$	−4.22465	+	4.97364i	−0.484601	+	0.570516i
$77$	1.13764	+	0.383316i	0.129646	+	0.0436829i
$78$	3.53936	+	1.63748i	0.400754	+	0.185408i
$79$	0.107592	+	0.202940i	0.0121051	+	0.0228326i	0.889491	−	0.456953i	$-0.151059\pi$
$79$	0.107592	+	0.202940i	0.0121051	+	0.0228326i	−0.877386	+	0.479786i	$0.840714\pi$
$80$	−2.82510	+	0.621851i	−0.315856	+	0.0695251i
$81$	−0.370138	+	0.928977i	−0.0411265	+	0.103220i
$82$	−10.4927	+	3.53540i	−1.15873	+	0.390420i
$83$	1.27151	+	0.138285i	0.139566	+	0.0151787i	0.177635	−	0.984096i	$-0.443155\pi$
$83$	1.27151	+	0.138285i	0.139566	+	0.0151787i	−0.0380694	+	0.999275i	$0.512121\pi$
$84$	−0.0799577	+	1.47473i	−0.00872410	+	0.160907i
$85$	0.566809	+	10.4542i	0.0614791	+	1.13391i
$86$	1.78877	−	0.194540i	0.192888	−	0.0209778i
$87$	3.52290	−	1.62987i	0.377695	−	0.174740i
$88$	−0.647097	−	0.491910i	−0.0689807	−	0.0524378i
$89$	−6.09370	−	4.63231i	−0.645931	−	0.491024i	0.230171	−	0.973150i	$-0.426072\pi$
$89$	−6.09370	−	4.63231i	−0.645931	−	0.491024i	−0.876102	+	0.482126i	$0.839865\pi$
$90$	2.62537	−	1.21463i	0.276738	−	0.128033i
$91$	−5.72584	+	0.622723i	−0.600231	+	0.0652791i
$92$	−0.143708	−	2.65053i	−0.0149826	−	0.276337i
$93$	0.245627	−	4.53032i	0.0254703	−	0.469772i
$94$	−4.76187	−	0.517885i	−0.491150	−	0.0534157i
$95$	−17.8889	+	6.02748i	−1.83537	+	0.618407i
$96$	0.370138	−	0.928977i	0.0377771	−	0.0948133i
$97$	8.42688	−	1.85490i	0.855620	−	0.188336i	0.234563	−	0.972101i	$-0.424634\pi$
$97$	8.42688	−	1.85490i	0.855620	−	0.188336i	0.621058	+	0.783765i	$0.286703\pi$
$98$	2.25715	+	4.25744i	0.228007	+	0.430067i
$99$	0.737714	+	0.341303i	0.0741431	+	0.0343022i
$100$	−3.19158	−	1.07537i	−0.319158	−	0.107537i
$101$	−1.86418	+	2.19468i	−0.185493	+	0.218379i	−0.847047	−	0.531519i	$-0.821622\pi$
$101$	−1.86418	+	2.19468i	−0.185493	+	0.218379i	0.661554	+	0.749898i	$0.269897\pi$
$102$	−3.10119	−	1.86592i	−0.307063	−	0.184754i
$103$	3.83478	+	13.8116i	0.377852	+	1.36090i	0.871140	+	0.491034i	$0.163381\pi$
$103$	3.83478	+	13.8116i	0.377852	+	1.36090i	−0.493288	+	0.869866i	$0.664205\pi$
$104$	3.80862	+	0.838341i	0.373466	+	0.0822061i
$105$	−2.39754	+	3.53611i	−0.233976	+	0.345089i
$106$	−6.51672	−	6.17297i	−0.632960	−	0.599572i
$107$	−13.8829	+	8.35305i	−1.34211	+	0.807520i	−0.991638	−	0.129054i	$-0.958806\pi$
$107$	−13.8829	+	8.35305i	−1.34211	+	0.807520i	−0.350470	+	0.936574i	$0.613978\pi$
$108$	−0.161782	+	0.986827i	−0.0155675	+	0.0949574i
$109$	3.25602	+	4.80227i	0.311870	+	0.459974i	0.951029	−	0.309100i	$-0.100028\pi$
$109$	3.25602	+	4.80227i	0.311870	+	0.459974i	−0.639159	+	0.769074i	$0.720718\pi$
$110$	−0.870316	−	2.18433i	−0.0829814	−	0.208268i
$111$	−5.52880	−	6.50900i	−0.524770	−	0.617807i
$112$	0.238936	+	1.45744i	0.0225773	+	0.137715i
$113$	10.2431	−	9.70279i	0.963591	−	0.912761i	−0.0326434	−	0.999467i	$-0.510393\pi$
$113$	10.2431	−	9.70279i	0.963591	−	0.912761i	0.996234	+	0.0867056i	$0.0276339\pi$
$114$	1.74581	−	6.28784i	0.163510	−	0.588910i
$115$	3.59669	−	6.78408i	0.335393	−	0.632619i
$116$	3.09017	−	2.34908i	0.286915	−	0.218107i
$117$	−3.89980			−0.360536
$118$	4.92012	−	5.89851i	0.452934	−	0.543002i
$119$	5.34528			0.490001
$120$	2.30288	−	1.75060i	0.210223	−	0.159808i
$121$	−4.84301	+	9.13489i	−0.440274	+	0.830444i
$122$	2.08864	−	7.52262i	0.189097	−	0.681066i
$123$	8.03845	−	7.61442i	0.724802	−	0.686569i
$124$	−0.734001	−	4.47721i	−0.0659152	−	0.402065i
$125$	3.05649	+	3.59838i	0.273381	+	0.321849i
$126$	−0.546657	−	1.37200i	−0.0487000	−	0.122228i
$127$	5.71874	+	8.43451i	0.507456	+	0.748442i	0.991988	−	0.126332i	$-0.0403204\pi$
$127$	5.71874	+	8.43451i	0.507456	+	0.748442i	−0.484532	+	0.874774i	$0.661010\pi$
$128$	0.161782	−	0.986827i	0.0142996	−	0.0872240i
$129$	−1.54176	+	0.927644i	−0.135744	+	0.0816745i
$130$	8.18999	+	7.75797i	0.718310	+	0.680419i
$131$	5.13558	−	7.57441i	0.448697	−	0.661779i	−0.534322	−	0.845281i	$-0.679433\pi$
$131$	5.13558	−	7.57441i	0.448697	−	0.661779i	0.983019	+	0.183502i	$0.0587433\pi$
$132$	0.793837	+	0.174737i	0.0690946	+	0.0152089i
$133$	2.57838	+	9.28650i	0.223574	+	0.805242i
$134$	−10.5290	−	6.33510i	−0.909569	−	0.547269i
$135$	−1.87271	+	2.20473i	−0.161177	+	0.189753i
$136$	−3.42980	−	1.15563i	−0.294103	−	0.0990948i
$137$	14.1145	+	6.53006i	1.20588	+	0.557900i	0.916778	−	0.399397i	$-0.130781\pi$
$137$	14.1145	+	6.53006i	1.20588	+	0.557900i	0.289104	+	0.957298i	$0.406643\pi$
$138$	1.24336	+	2.34522i	0.105842	+	0.199638i
$139$	−7.89083	+	1.73690i	−0.669291	+	0.147322i	−0.536602	−	0.843836i	$-0.680292\pi$
$139$	−7.89083	+	1.73690i	−0.669291	+	0.147322i	−0.132689	+	0.991158i	$0.542361\pi$
$140$	−1.58133	+	3.96884i	−0.133647	+	0.335428i
$141$	4.53921	−	1.52944i	0.382271	−	0.128802i
$142$	2.94652	+	0.320453i	0.247266	+	0.0268918i
$143$	−0.171616	+	3.16526i	−0.0143512	+	0.264693i
$144$	0.0541389	+	0.998533i	0.00451158	+	0.0832111i
$145$	11.1628	−	1.21403i	0.927018	−	0.100819i
$146$	−2.41485	+	1.11723i	−0.199855	+	0.0924626i
$147$	−3.83619	−	2.91620i	−0.316404	−	0.240524i
$148$	−6.79878	−	5.16830i	−0.558856	−	0.424831i
$149$	−6.31419	+	2.92126i	−0.517279	+	0.239319i	−0.661117	−	0.750282i	$-0.729917\pi$
$149$	−6.31419	+	2.92126i	−0.517279	+	0.239319i	0.143839	+	0.989601i	$0.454055\pi$
$150$	3.34814	−	0.364132i	0.273374	−	0.0297312i
$151$	−0.0876889	−	1.61733i	−0.00713602	−	0.131616i	−0.999931	−	0.0117869i	$-0.996248\pi$
$151$	−0.0876889	−	1.61733i	−0.00713602	−	0.131616i	0.992795	−	0.119829i	$-0.0382347\pi$
$152$	0.353294	−	6.51613i	0.0286560	−	0.528528i
$153$	3.59804	+	0.391311i	0.290884	+	0.0316356i
$154$	−1.13764	+	0.383316i	−0.0916738	+	0.0308885i
$155$	4.85778	−	12.1921i	0.390186	−	0.979294i
$156$	−3.80862	+	0.838341i	−0.304934	+	0.0671210i
$157$	−9.41734	−	17.7630i	−0.751586	−	1.41764i	−0.903208	−	0.429203i	$-0.858795\pi$
$157$	−9.41734	−	17.7630i	−0.751586	−	1.41764i	0.151622	−	0.988439i	$-0.451550\pi$
$158$	−0.208467	−	0.0964473i	−0.0165848	−	0.00767294i
$159$	8.50638	+	2.86613i	0.674600	+	0.227299i
$160$	1.87271	−	2.20473i	0.148051	−	0.174299i
$161$	−3.35915	−	2.02114i	−0.264738	−	0.159288i
$162$	−0.267528	−	0.963550i	−0.0210190	−	0.0757036i
$163$	4.14637	+	0.912686i	0.324769	+	0.0714870i	0.374363	−	0.927282i	$-0.377862\pi$
$163$	4.14637	+	0.912686i	0.324769	+	0.0714870i	−0.0495936	+	0.998769i	$0.515793\pi$
$164$	6.21364	−	9.16443i	0.485203	−	0.715622i
$165$	1.70705	+	1.61701i	0.132894	+	0.125884i
$166$	−1.09592	+	0.659395i	−0.0850601	+	0.0511790i
$167$	1.07492	−	6.55671i	0.0831796	−	0.507373i	−0.912071	−	0.410032i	$-0.865518\pi$
$167$	1.07492	−	6.55671i	0.0831796	−	0.507373i	0.995251	−	0.0973419i	$-0.0310340\pi$
$168$	−0.828816	−	1.22241i	−0.0639446	−	0.0943112i
$169$	−0.817417	−	2.05156i	−0.0628782	−	0.157812i
$170$	−6.77783	−	7.97948i	−0.519836	−	0.611998i
$171$	1.05574	+	6.43974i	0.0807345	+	0.492459i
$172$	−1.30630	+	1.23739i	−0.0996041	+	0.0943500i
$173$	−1.23327	+	4.44185i	−0.0937640	+	0.337707i	−0.995522	−	0.0945348i	$-0.969864\pi$
$173$	−1.23327	+	4.44185i	−0.0937640	+	0.337707i	0.901758	+	0.432242i	$0.142277\pi$
$174$	−1.81820	+	3.42950i	−0.137838	+	0.259989i
$175$	−3.95978	+	3.01015i	−0.299331	+	0.227546i
$176$	0.812841			0.0612702
$177$	−1.98866	+	7.41925i	−0.149477	+	0.557665i
$178$	7.65451			0.573730
$179$	8.86214	−	6.73682i	0.662387	−	0.503534i	−0.219124	−	0.975697i	$-0.570320\pi$
$179$	8.86214	−	6.73682i	0.662387	−	0.503534i	0.881511	+	0.472163i	$0.156527\pi$
$180$	−1.35498	+	2.55576i	−0.100994	+	0.190495i
$181$	1.82132	−	6.55980i	0.135378	−	0.487586i	−0.864510	−	0.502616i	$-0.832371\pi$
$181$	1.82132	−	6.55980i	0.135378	−	0.487586i	0.999887	+	0.0150307i	$0.00478460\pi$
$182$	4.18145	−	3.96088i	0.309949	−	0.293600i
$183$	1.26306	+	7.70434i	0.0933683	+	0.569521i
$184$	1.71844	+	2.02310i	0.126685	+	0.149145i
$185$	−9.14405	−	22.9498i	−0.672284	−	1.68731i
$186$	2.54609	+	3.75520i	0.186688	+	0.275345i
$187$	0.475943	−	2.90312i	0.0348044	−	0.212297i
$188$	4.10430	−	2.46948i	0.299337	−	0.180105i
$189$	1.07222	+	1.01566i	0.0779927	+	0.0738786i
$190$	10.5936	−	15.6244i	0.768539	−	1.13351i
$191$	−9.04638	−	1.99126i	−0.654573	−	0.144082i	−0.124747	−	0.992189i	$-0.539812\pi$
$191$	−9.04638	−	1.99126i	−0.654573	−	0.144082i	−0.529826	+	0.848106i	$0.677743\pi$
$192$	0.267528	+	0.963550i	0.0193072	+	0.0695382i
$193$	19.9176	+	11.9840i	1.43370	+	0.862631i	0.999275	−	0.0380756i	$-0.0121228\pi$
$193$	19.9176	+	11.9840i	1.43370	+	0.862631i	0.434429	+	0.900706i	$0.356950\pi$
$194$	−5.58605	+	6.57640i	−0.401055	+	0.472158i
$195$	−10.6905	−	3.60206i	−0.765564	−	0.257949i
$196$	−4.37340	−	2.02335i	−0.312386	−	0.144525i
$197$	5.33229	+	10.0578i	0.379910	+	0.716586i	0.997556	−	0.0698699i	$-0.0222584\pi$
$197$	5.33229	+	10.0578i	0.379910	+	0.716586i	−0.617646	+	0.786456i	$0.711914\pi$
$198$	−0.793837	+	0.174737i	−0.0564155	+	0.0124180i
$199$	8.66223	−	21.7406i	0.614049	−	1.54115i	−0.211833	−	0.977306i	$-0.567943\pi$
$199$	8.66223	−	21.7406i	0.614049	−	1.54115i	0.825883	−	0.563842i	$-0.190677\pi$
$200$	3.19158	−	1.07537i	0.225679	−	0.0760401i
$201$	12.2159	+	1.32856i	0.861644	+	0.0937095i
$202$	0.155896	−	2.87533i	0.0109688	−	0.202307i
$203$	−0.310369	−	5.72442i	−0.0217836	−	0.401775i
$204$	3.59804	−	0.391311i	0.251913	−	0.0273972i
$205$	29.0689	−	13.4487i	2.03026	−	0.939298i
$206$	−11.4113	−	8.67463i	−0.795062	−	0.604390i
$207$	−2.11317	−	1.60639i	−0.146876	−	0.111652i
$208$	−3.53936	+	1.63748i	−0.245410	+	0.113539i
$209$	5.27326	−	0.573502i	0.364759	−	0.0396699i
$210$	−0.231296	−	4.26600i	−0.0159609	−	0.294382i
$211$	0.0432690	−	0.798051i	0.00297876	−	0.0549401i	−0.996666	−	0.0815885i	$-0.974001\pi$
$211$	0.0432690	−	0.798051i	0.00297876	−	0.0549401i	0.999645	+	0.0266484i	$0.00848345\pi$
$212$	8.92364	+	0.970504i	0.612878	+	0.0666545i
$213$	−2.80874	+	0.946376i	−0.192452	+	0.0648446i
$214$	5.99701	−	15.0514i	0.409947	−	1.02889i
$215$	−5.08324	+	1.11891i	−0.346674	+	0.0763088i
$216$	−0.468408	−	0.883512i	−0.0318712	−	0.0601154i
$217$	−6.08135	−	2.81353i	−0.412829	−	0.190995i
$218$	−5.49830	−	1.85259i	−0.372392	−	0.125473i
$219$	1.72255	−	2.02794i	0.116399	−	0.137036i
$220$	2.01475	+	1.21224i	0.135835	+	0.0817289i
$221$	3.77599	+	13.5999i	0.254001	+	0.914828i
$222$	8.34051	+	1.83589i	0.559779	+	0.123217i
$223$	−15.2319	+	22.4654i	−1.02000	+	1.50439i	−0.164650	+	0.986352i	$0.552649\pi$
$223$	−15.2319	+	22.4654i	−1.02000	+	1.50439i	−0.855355	+	0.518043i	$0.826661\pi$
$224$	−1.07222	−	1.01566i	−0.0716408	−	0.0678618i
$225$	−2.88579	+	1.73632i	−0.192386	+	0.115755i
$226$	−2.28259	+	13.9232i	−0.151836	+	0.926157i
$227$	−10.5970	−	15.6294i	−0.703346	−	1.03736i	−0.996686	−	0.0813494i	$-0.974077\pi$
$227$	−10.5970	−	15.6294i	−0.703346	−	1.03736i	0.293340	−	0.956008i	$-0.405233\pi$
$228$	2.41541	+	6.06222i	0.159965	+	0.401481i
$229$	−17.3204	−	20.3912i	−1.14457	−	1.34749i	−0.928598	−	0.371087i	$-0.878985\pi$
$229$	−17.3204	−	20.3912i	−1.14457	−	1.34749i	−0.215968	−	0.976400i	$-0.569291\pi$
$230$	1.24225	+	7.57739i	0.0819115	+	0.499638i
$231$	0.871545	−	0.825572i	0.0573435	−	0.0543186i
$232$	−1.03845	+	3.74018i	−0.0681779	+	0.245555i
$233$	−7.82735	+	14.7640i	−0.512787	+	0.967219i	0.483009	+	0.875616i	$0.339544\pi$
$233$	−7.82735	+	14.7640i	−0.512787	+	0.967219i	−0.995796	+	0.0916030i	$0.970801\pi$
$234$	3.10460	−	2.36006i	0.202954	−	0.154282i
$235$	13.8560			0.903868
$236$	−0.347245	+	7.67329i	−0.0226037	+	0.499489i
$237$	0.229697			0.0149204
$238$	−4.25534	+	3.23482i	−0.275833	+	0.209682i
$239$	−2.37083	+	4.47186i	−0.153356	+	0.289260i	−0.948272	−	0.317460i	$-0.897170\pi$
$239$	−2.37083	+	4.47186i	−0.153356	+	0.289260i	0.794916	+	0.606720i	$0.207515\pi$
$240$	−0.773887	+	2.78729i	−0.0499542	+	0.179919i
$241$	15.3824	−	14.5710i	0.990869	−	0.938601i	−0.00724615	−	0.999974i	$-0.502307\pi$
$241$	15.3824	−	14.5710i	0.990869	−	0.938601i	0.998115	+	0.0613730i	$0.0195479\pi$
$242$	−1.67271	−	10.2031i	−0.107526	−	0.655879i
$243$	0.647386	+	0.762162i	0.0415298	+	0.0488927i
$244$	2.88974	+	7.25270i	0.184997	+	0.464306i
$245$	−7.82261	−	11.5375i	−0.499768	−	0.737103i
$246$	−1.79130	+	10.9264i	−0.114209	+	0.696645i
$247$	−21.8061	+	13.1203i	−1.38749	+	0.834824i
$248$	3.29382	+	3.12007i	0.209158	+	0.198125i
$249$	0.717760	−	1.05862i	0.0454862	−	0.0670871i
$250$	−4.61090	−	1.01494i	−0.291619	−	0.0641902i
$251$	3.86717	+	13.9283i	0.244094	+	0.879146i	0.979487	+	0.201506i	$0.0645835\pi$
$251$	3.86717	+	13.9283i	0.244094	+	0.879146i	−0.735394	+	0.677640i	$0.763003\pi$
$252$	1.26549	+	0.761421i	0.0797185	+	0.0479650i
$253$	−1.39682	+	1.64446i	−0.0878172	+	0.103386i
$254$	−9.65700	−	3.25382i	−0.605934	−	0.204163i
$255$	9.50189	+	4.39604i	0.595031	+	0.275291i
$256$	0.468408	+	0.883512i	0.0292755	+	0.0552195i
$257$	−7.82237	+	1.72183i	−0.487946	+	0.107405i	−0.452128	−	0.891953i	$-0.649335\pi$
$257$	−7.82237	+	1.72183i	−0.487946	+	0.107405i	−0.0358183	+	0.999358i	$0.511404\pi$
$258$	0.665995	−	1.67152i	0.0414631	−	0.104064i
$259$	−11.9527	+	4.02734i	−0.742707	+	0.250247i
$260$	−11.2149	−	1.21970i	−0.695520	−	0.0756424i
$261$	0.210149	−	3.87597i	0.0130079	−	0.239917i
$262$	0.495440	+	9.13785i	0.0306084	+	0.564538i
$263$	13.6645	−	1.48611i	0.842591	−	0.0916373i	0.323365	−	0.946274i	$-0.395186\pi$
$263$	13.6645	−	1.48611i	0.842591	−	0.0916373i	0.519226	+	0.854637i	$0.326220\pi$
$264$	−0.737714	+	0.341303i	−0.0454032	+	0.0210057i
$265$	20.6713	+	15.7139i	1.26983	+	0.965296i
$266$	−7.67259	−	5.83255i	−0.470436	−	0.357616i
$267$	−6.94704	+	3.21404i	−0.425152	+	0.196696i
$268$	12.2159	−	1.32856i	0.746206	−	0.0811548i
$269$	−0.0139533	−	0.257353i	−0.000850747	−	0.0156911i	0.998077	−	0.0619828i	$-0.0197424\pi$
$269$	−0.0139533	−	0.257353i	−0.000850747	−	0.0156911i	−0.998928	+	0.0462917i	$0.985260\pi$
$270$	0.156609	−	2.88849i	0.00953093	−	0.175788i
$271$	−31.7981	−	3.45826i	−1.93160	−	0.210074i	−0.940169	−	0.340708i	$-0.889333\pi$
$271$	−31.7981	−	3.45826i	−1.93160	−	0.210074i	−0.991431	+	0.130634i	$0.958299\pi$
$272$	3.42980	−	1.15563i	0.207962	−	0.0700706i
$273$	−2.13185	+	5.35054i	−0.129025	+	0.323829i
$274$	−15.1883	+	3.34319i	−0.917557	+	0.201970i
$275$	1.28229	+	2.41866i	0.0773250	+	0.145850i
$276$	−2.40909	−	1.11457i	−0.145010	−	0.0670889i
$277$	−2.14055	−	0.721237i	−0.128613	−	0.0433349i	0.254259	−	0.967136i	$-0.418168\pi$
$277$	−2.14055	−	0.721237i	−0.128613	−	0.0433349i	−0.382872	+	0.923801i	$0.625065\pi$
$278$	5.23070	−	6.15806i	0.313717	−	0.369336i
$279$	−3.88754	−	2.33905i	−0.232741	−	0.140036i
$280$	−1.14295	−	4.11654i	−0.0683045	−	0.246010i
$281$	−21.4618	−	4.72411i	−1.28031	−	0.281817i	−0.477804	−	0.878466i	$-0.658567\pi$
$281$	−21.4618	−	4.72411i	−1.28031	−	0.281817i	−0.802502	+	0.596650i	$0.796498\pi$
$282$	−2.68806	+	3.96459i	−0.160072	+	0.236088i
$283$	9.11490	+	8.63409i	0.541825	+	0.513243i	0.908937	−	0.416933i	$-0.136895\pi$
$283$	9.11490	+	8.63409i	0.541825	+	0.513243i	−0.367113	+	0.930176i	$0.619654\pi$
$284$	−2.53963	+	1.52805i	−0.150699	+	0.0906729i
$285$	−3.05397	+	18.6284i	−0.180902	+	1.10345i
$286$	−1.77891	−	2.62370i	−0.105189	−	0.155143i
$287$	−6.05275	−	15.1913i	−0.357283	−	0.896711i
$288$	−0.647386	−	0.762162i	−0.0381476	−	0.0449108i
$289$	0.631107	+	3.84958i	0.0371240	+	0.226446i
$290$	−8.15191	+	7.72190i	−0.478697	+	0.453446i
$291$	2.30840	−	8.31410i	0.135321	−	0.487381i
$292$	1.24633	−	2.35083i	0.0729359	−	0.137572i
$293$	−6.34495	+	4.82330i	−0.370676	+	0.281780i	−0.773883	−	0.633328i	$-0.781688\pi$
$293$	−6.34495	+	4.82330i	−0.370676	+	0.281780i	0.403208	+	0.915109i	$0.367895\pi$
$294$	4.81877			0.281036
$295$	−12.3043	+	18.5016i	−0.716385	+	1.07720i
$296$	8.54018			0.496388
$297$	0.647097	−	0.491910i	0.0375484	−	0.0285435i
$298$	3.25882	−	6.14678i	0.188778	−	0.356073i
$299$	2.76938	−	9.97441i	0.160157	−	0.576835i
$300$	−2.44506	+	2.31609i	−0.141166	+	0.133719i
$301$	0.429921	+	2.62240i	0.0247802	+	0.151153i
$302$	1.04857	+	1.23448i	0.0603386	+	0.0710361i
$303$	1.06583	+	2.67503i	0.0612304	+	0.153677i
$304$	3.66214	+	5.40125i	0.210038	+	0.309783i
$305$	−3.65370	+	22.2866i	−0.209210	+	1.27613i
$306$	−3.10119	+	1.86592i	−0.177283	+	0.106668i
$307$	−11.6423	−	11.0282i	−0.664463	−	0.629413i	0.279234	−	0.960223i	$-0.409919\pi$
$307$	−11.6423	−	11.0282i	−0.664463	−	0.629413i	−0.943697	+	0.330810i	$0.892678\pi$
$308$	0.673696	−	0.993627i	0.0383874	−	0.0566171i
$309$	13.9990	+	3.08141i	0.796374	+	0.175295i
$310$	3.51110	+	12.6459i	0.199417	+	0.718236i
$311$	−14.1316	−	8.50269i	−0.801329	−	0.482144i	0.0550550	−	0.998483i	$-0.482467\pi$
$311$	−14.1316	−	8.50269i	−0.801329	−	0.482144i	−0.856384	+	0.516340i	$0.827294\pi$
$312$	2.52467	−	2.97228i	0.142932	−	0.168272i
$313$	−2.93699	−	0.989585i	−0.166008	−	0.0559347i	0.235070	−	0.971978i	$-0.424468\pi$
$313$	−2.93699	−	0.989585i	−0.166008	−	0.0559347i	−0.401078	+	0.916044i	$0.631365\pi$
$314$	18.2468	+	8.44186i	1.02973	+	0.476402i
$315$	2.00117	+	3.77460i	0.112753	+	0.212675i
$316$	0.224327	−	0.0493781i	0.0126194	−	0.00277774i
$317$	−2.00102	+	5.02218i	−0.112388	+	0.282074i	−0.974402	−	0.224811i	$-0.927824\pi$
$317$	−2.00102	+	5.02218i	−0.112388	+	0.282074i	0.862014	+	0.506884i	$0.169203\pi$
$318$	−8.50638	+	2.86613i	−0.477014	+	0.160725i
$319$	−3.13668	−	0.341134i	−0.175620	−	0.0190999i
$320$	−0.156609	+	2.88849i	−0.00875472	+	0.161471i
$321$	0.877163	+	16.1783i	0.0489585	+	0.902986i
$322$	3.89734	−	0.423861i	0.217190	−	0.0236209i
$323$	21.4353	−	9.91702i	1.19269	−	0.551798i
$324$	0.796093	+	0.605174i	0.0442274	+	0.0336208i
$325$	−10.4559	−	7.94838i	−0.579990	−	0.440897i
$326$	−3.85323	+	1.78269i	−0.213411	+	0.0987343i
$327$	5.76801	−	0.627309i	0.318972	−	0.0346903i
$328$	0.599443	+	11.0561i	0.0330987	+	0.610469i
$329$	0.382993	−	7.06390i	0.0211151	−	0.389445i
$330$	−2.33754	−	0.254223i	−0.128678	−	0.0139945i
$331$	15.3555	−	5.17386i	0.844014	−	0.284381i	0.136113	−	0.990693i	$-0.456539\pi$
$331$	15.3555	−	5.17386i	0.844014	−	0.284381i	0.707901	+	0.706312i	$0.249642\pi$
$332$	0.473408	−	1.18816i	0.0259816	−	0.0652090i
$333$	−8.34051	+	1.83589i	−0.457057	+	0.100606i
$334$	3.11222	+	5.87026i	0.170293	+	0.321207i
$335$	32.2604	+	14.9253i	1.76257	+	0.815454i
$336$	1.39959	+	0.471576i	0.0763538	+	0.0257266i
$337$	−2.97382	+	3.50105i	−0.161994	+	0.190714i	−0.837170	−	0.546942i	$-0.815792\pi$
$337$	−2.97382	+	3.50105i	−0.161994	+	0.190714i	0.675176	+	0.737657i	$0.264068\pi$
$338$	1.89229	+	1.13855i	0.102927	+	0.0619292i
$339$	−3.77457	−	13.5948i	−0.205007	−	0.738367i
$340$	10.2248	+	2.25064i	0.554515	+	0.122058i
$341$	−2.06957	+	3.05238i	−0.112073	+	0.165296i
$342$	−4.73763	−	4.48772i	−0.256182	−	0.242668i
$343$	−14.9566	+	8.99906i	−0.807578	+	0.485903i
$344$	0.291097	−	1.77561i	0.0156949	−	0.0957346i
$345$	−4.30910	−	6.35544i	−0.231994	−	0.342165i
$346$	−1.70629	−	4.28247i	−0.0917308	−	0.230227i
$347$	−23.3316	−	27.4681i	−1.25251	−	1.47457i	−0.819397	−	0.573226i	$-0.805692\pi$
$347$	−23.3316	−	27.4681i	−1.25251	−	1.47457i	−0.433111	−	0.901341i	$-0.642584\pi$
$348$	−0.627983	−	3.83053i	−0.0336634	−	0.205338i
$349$	2.97946	−	2.82229i	0.159487	−	0.151074i	−0.603795	−	0.797140i	$-0.706345\pi$
$349$	2.97946	−	2.82229i	0.159487	−	0.151074i	0.763282	+	0.646066i	$0.223587\pi$
$350$	1.33069	−	4.79271i	0.0711284	−	0.256181i
$351$	−1.82670	+	3.44552i	−0.0975019	+	0.183908i
$352$	−0.647097	+	0.491910i	−0.0344904	+	0.0262189i
$353$	26.3572			1.40285			0.701425	−	0.712743i	$-0.252548\pi$
$353$	26.3572			1.40285			0.701425	+	0.712743i	$0.252548\pi$
$354$	−2.90678	−	7.10990i	−0.154494	−	0.377887i
$355$	−8.57374			−0.455047
$356$	−6.09370	+	4.63231i	−0.322965	+	0.245512i
$357$	2.50377	−	4.72262i	0.132514	−	0.249947i
$358$	−2.97814	+	10.7263i	−0.157399	+	0.566901i
$359$	−10.9603	+	10.3821i	−0.578462	+	0.547949i	−0.919999	−	0.391920i	$-0.871811\pi$
$359$	−10.9603	+	10.3821i	−0.578462	+	0.547949i	0.341537	+	0.939868i	$0.389053\pi$
$360$	−0.467991	−	2.85462i	−0.0246653	−	0.150452i
$361$	15.2685	+	17.9754i	0.803603	+	0.946075i
$362$	2.51988	+	6.32442i	0.132442	+	0.332404i
$363$	5.80228	+	8.55772i	0.304541	+	0.449164i
$364$	−0.931800	+	5.68373i	−0.0488396	+	0.297908i
$365$	6.59514	−	3.96816i	0.345205	−	0.207703i
$366$	−5.66798	−	5.36900i	−0.296270	−	0.280642i
$367$	11.6909	−	17.2427i	0.610258	−	0.900063i	−0.389523	−	0.921017i	$-0.627360\pi$
$367$	11.6909	−	17.2427i	0.610258	−	0.900063i	0.999780	+	0.0209539i	$0.00667033\pi$
$368$	−2.59237	−	0.570623i	−0.135137	−	0.0297458i
$369$	−2.96216	−	10.6687i	−0.154204	−	0.555391i
$370$	21.1682	+	12.7365i	1.10048	+	0.662137i
$371$	8.58242	−	10.1040i	0.445577	−	0.524574i
$372$	−4.29948	−	1.44866i	−0.222918	−	0.0751097i
$373$	−9.96391	−	4.60980i	−0.515912	−	0.238686i	0.144616	−	0.989488i	$-0.453805\pi$
$373$	−9.96391	−	4.60980i	−0.515912	−	0.238686i	−0.660528	+	0.750802i	$0.729667\pi$
$374$	1.37800	+	2.59919i	0.0712547	+	0.134401i
$375$	4.61090	−	1.01494i	0.238106	−	0.0524111i
$376$	−1.77294	+	4.44975i	−0.0914326	+	0.229478i
$377$	14.3453	−	4.83349i	0.738820	−	0.248937i
$378$	−1.46824	−	0.159681i	−0.0755182	−	0.00821310i
$379$	0.923582	−	17.0345i	0.0474412	−	0.875002i	−0.873866	−	0.486167i	$-0.838395\pi$
$379$	0.923582	−	17.0345i	0.0474412	−	0.875002i	0.921307	−	0.388835i	$-0.127122\pi$
$380$	1.02198	+	18.8494i	0.0524267	+	0.966954i
$381$	10.1307	−	1.10178i	0.519011	−	0.0564459i
$382$	8.40682	−	3.88941i	0.430130	−	0.198999i
$383$	22.4531	+	17.0684i	1.14730	+	0.872155i	0.993260	−	0.115909i	$-0.0369781\pi$
$383$	22.4531	+	17.0684i	1.14730	+	0.872155i	0.154041	+	0.988064i	$0.450771\pi$
$384$	−0.796093	−	0.605174i	−0.0406255	−	0.0308827i
$385$	3.15171	−	1.45814i	0.160626	−	0.0743135i
$386$	−23.1087	+	2.51323i	−1.17620	+	0.127920i
$387$	0.0974130	+	1.79668i	0.00495178	+	0.0913302i
$388$	0.467144	−	8.61596i	0.0237156	−	0.437409i
$389$	−30.3538	−	3.30118i	−1.53900	−	0.167376i	−0.701046	−	0.713116i	$-0.747283\pi$
$389$	−30.3538	−	3.30118i	−1.53900	−	0.167376i	−0.837955	+	0.545739i	$0.816249\pi$
$390$	10.6905	−	3.60206i	0.541336	−	0.182397i
$391$	−3.55594	+	8.92473i	−0.179832	+	0.451343i
$392$	4.70611	−	1.03589i	0.237694	−	0.0523205i
$393$	−4.28653	−	8.08526i	−0.216227	−	0.407847i
$394$	−10.3317	−	4.77995i	−0.520504	−	0.240811i
$395$	0.629670	+	0.212160i	0.0316821	+	0.0106749i
$396$	0.526222	−	0.619516i	0.0264436	−	0.0311319i
$397$	23.6877	+	14.2524i	1.18885	+	0.715308i	0.965747	−	0.259487i	$-0.0835533\pi$
$397$	23.6877	+	14.2524i	1.18885	+	0.715308i	0.223104	+	0.974795i	$0.428381\pi$
$398$	6.26089	+	22.5497i	0.313830	+	1.13031i
$399$	9.41247	+	2.07184i	0.471213	+	0.103722i
$400$	−1.89001	+	2.78756i	−0.0945005	+	0.139378i
$401$	−22.7037	−	21.5060i	−1.13377	−	1.07396i	−0.996514	−	0.0834247i	$-0.973414\pi$
$401$	−22.7037	−	21.5060i	−1.13377	−	1.07396i	−0.137253	−	0.990536i	$-0.543827\pi$
$402$	−10.5290	+	6.33510i	−0.525140	+	0.315966i
$403$	2.86245	−	17.4602i	0.142589	−	0.869754i
$404$	1.61597	+	2.38337i	0.0803973	+	0.118577i
$405$	1.07071	+	2.68728i	0.0532040	+	0.133532i
$406$	3.71135	+	4.36934i	0.184191	+	0.216847i
$407$	1.12306	+	6.85036i	0.0556680	+	0.339560i
$408$	−2.62756	+	2.48896i	−0.130084	+	0.123222i
$409$	−6.18107	+	22.2622i	−0.305634	+	1.10080i	0.638063	+	0.769984i	$0.279736\pi$
$409$	−6.18107	+	22.2622i	−0.305634	+	1.10080i	−0.943697	+	0.330811i	$0.892678\pi$
$410$	−15.0027	+	28.2982i	−0.740932	+	1.39755i
$411$	12.3807	−	9.41158i	0.610696	−	0.464239i
$412$	14.3341			0.706191
$413$	9.09213	+	6.78423i	0.447394	+	0.333830i
$414$	2.65443			0.130458
$415$	2.94539	−	2.23903i	0.144584	−	0.109910i
$416$	1.82670	−	3.44552i	0.0895612	−	0.168930i
$417$	−2.16156	+	7.78522i	−0.105852	+	0.381244i
$418$	−3.85094	+	3.64780i	−0.188356	+	0.178420i
$419$	1.92755	+	11.7575i	0.0941671	+	0.574394i	0.991194	+	0.132418i	$0.0422741\pi$
$419$	1.92755	+	11.7575i	0.0941671	+	0.574394i	−0.897027	+	0.441976i	$0.854278\pi$
$420$	2.76581	+	3.25616i	0.134958	+	0.158884i
$421$	−11.1990	−	28.1073i	−0.545805	−	1.36987i	−0.900488	−	0.434880i	$-0.856791\pi$
$421$	−11.1990	−	28.1073i	−0.545805	−	1.36987i	0.354684	−	0.934986i	$-0.384588\pi$
$422$	0.448513	+	0.661508i	0.0218333	+	0.0322017i
$423$	0.774928	−	4.72685i	0.0376783	−	0.229827i
$424$	−7.69137	+	4.62775i	−0.373526	+	0.224743i
$425$	8.84932	+	8.38252i	0.429255	+	0.406612i
$426$	1.66330	−	2.45318i	0.0805871	−	0.118857i
$427$	11.2609	+	2.47870i	0.544951	+	0.119953i
$428$	4.33452	+	15.6115i	0.209517	+	0.754611i
$429$	2.71616	+	1.63426i	0.131138	+	0.0789028i
$430$	3.36960	−	3.96700i	0.162497	−	0.191306i
$431$	19.4055	+	6.53846i	0.934728	+	0.314946i	0.745133	−	0.666916i	$-0.232386\pi$
$431$	19.4055	+	6.53846i	0.934728	+	0.314946i	0.189595	+	0.981862i	$0.439283\pi$
$432$	0.907575	+	0.419889i	0.0436657	+	0.0202019i
$433$	−17.0568	−	32.1725i	−0.819695	−	1.54611i	−0.837609	−	0.546270i	$-0.816047\pi$
$433$	−17.0568	−	32.1725i	−0.819695	−	1.54611i	0.0179140	−	0.999840i	$-0.494297\pi$
$434$	6.54399	−	1.44044i	0.314122	−	0.0691434i
$435$	4.15613	−	10.4311i	0.199271	−	0.500133i
$436$	5.49830	−	1.85259i	0.263321	−	0.0887232i
$437$	−17.2205	−	1.87284i	−0.823766	−	0.0895900i
$438$	−0.144051	+	2.65687i	−0.00688304	+	0.126950i
$439$	−1.17104	−	21.5986i	−0.0558909	−	1.03085i	−0.883169	−	0.469054i	$-0.844595\pi$
$439$	−1.17104	−	21.5986i	−0.0558909	−	1.03085i	0.827278	−	0.561792i	$-0.189888\pi$
$440$	−2.33754	+	0.254223i	−0.111438	+	0.0121196i
$441$	−4.37340	+	2.02335i	−0.208257	+	0.0963500i
$442$	−11.2364	−	8.54165i	−0.534459	−	0.406285i
$443$	−28.0191	−	21.2996i	−1.33123	−	1.01197i	−0.997598	−	0.0692704i	$-0.977933\pi$
$443$	−28.0191	−	21.2996i	−1.33123	−	1.01197i	−0.333631	−	0.942704i	$-0.608274\pi$
$444$	−7.75086	+	3.58593i	−0.367839	+	0.170181i
$445$	−22.0126	+	2.39402i	−1.04350	+	0.113487i
$446$	−1.46946	−	27.1025i	−0.0695807	−	1.28334i
$447$	−0.376656	+	6.94701i	−0.0178152	+	0.328582i
$448$	1.46824	+	0.159681i	0.0693679	+	0.00754421i
$449$	−36.0963	+	12.1623i	−1.70349	+	0.573973i	−0.991718	−	0.128437i	$-0.959004\pi$
$449$	−36.0963	+	12.1623i	−1.70349	+	0.573973i	−0.711773	+	0.702410i	$0.752107\pi$
$450$	1.24658	−	3.12868i	0.0587644	−	0.147487i
$451$	−8.78961	+	1.93474i	−0.413886	+	0.0911033i
$452$	−6.60880	−	12.4655i	−0.310852	−	0.586329i
$453$	−1.47000	−	0.680095i	−0.0690667	−	0.0319537i
$454$	17.8947	+	6.02942i	0.839838	+	0.282975i
$455$	−10.7861	+	12.6984i	−0.505659	+	0.595308i
$456$	−5.59159	−	3.36435i	−0.261850	−	0.157550i
$457$	−7.51359	−	27.0615i	−0.351471	−	1.26588i	−0.902243	−	0.431228i	$-0.858080\pi$
$457$	−7.51359	−	27.0615i	−0.351471	−	1.26588i	0.550772	−	0.834656i	$-0.314333\pi$
$458$	26.1289	+	5.75140i	1.22092	+	0.268745i
$459$	2.03108	−	2.99562i	0.0948027	−	0.139824i
$460$	−5.57458	−	5.28053i	−0.259916	−	0.246206i
$461$	−4.37346	+	2.63142i	−0.203692	+	0.122558i	−0.613745	−	0.789504i	$-0.710338\pi$
$461$	−4.37346	+	2.63142i	−0.203692	+	0.122558i	0.410053	+	0.912062i	$0.365510\pi$
$462$	−0.194217	+	1.18467i	−0.00903577	+	0.0551158i
$463$	18.4005	+	27.1388i	0.855146	+	1.26125i	0.963655	+	0.267150i	$0.0860819\pi$
$463$	18.4005	+	27.1388i	0.855146	+	1.26125i	−0.108509	+	0.994095i	$0.534608\pi$
$464$	−1.43675	−	3.60597i	−0.0666995	−	0.167403i
$465$	−8.49645	−	10.0028i	−0.394013	−	0.463868i
$466$	−2.70346	−	16.4904i	−0.125235	−	0.763903i
$467$	15.5809	−	14.7590i	0.720998	−	0.682966i	−0.236426	−	0.971649i	$-0.575976\pi$
$467$	15.5809	−	14.7590i	0.720998	−	0.682966i	0.957425	+	0.288683i	$0.0932175\pi$
$468$	−1.04331	+	3.75765i	−0.0482268	+	0.173697i
$469$	8.50070	−	16.0340i	0.392526	−	0.740383i
$470$	−11.0307	+	8.38531i	−0.508808	+	0.386786i
$471$	−20.1050			−0.926389
$472$	−4.36724	−	6.31880i	−0.201018	−	0.290846i
$473$	1.46256			0.0672484
$474$	−0.182860	+	0.139007i	−0.00839905	+	0.00638479i
$475$	−10.2946	+	19.4176i	−0.472347	+	0.890942i
$476$	1.43001	−	5.15044i	0.0655445	−	0.236070i
$477$	6.51672	−	6.17297i	0.298380	−	0.282641i
$478$	−0.818852	−	4.99478i	−0.0374534	−	0.228456i
$479$	10.6723	+	12.5644i	0.487628	+	0.574081i	0.949859	−	0.312679i	$-0.101227\pi$
$479$	10.6723	+	12.5644i	0.487628	+	0.574081i	−0.462230	+	0.886760i	$0.652951\pi$
$480$	−1.07071	−	2.68728i	−0.0488710	−	0.122657i
$481$	−18.6903	−	27.5661i	−0.852205	−	1.25691i
$482$	−3.42784	+	20.9089i	−0.156134	+	0.952375i
$483$	−3.35915	+	2.02114i	−0.152847	+	0.0919649i
$484$	7.50628	+	7.11032i	0.341194	+	0.323197i
$485$	14.0074	−	20.6593i	0.636042	−	0.938091i
$486$	−0.976621	−	0.214970i	−0.0443004	−	0.00975126i
$487$	6.10631	+	21.9929i	0.276703	+	0.996595i	0.963050	+	0.269321i	$0.0867993\pi$
$487$	6.10631	+	21.9929i	0.276703	+	0.996595i	−0.686347	+	0.727274i	$0.740787\pi$
$488$	−6.68965	−	4.02503i	−0.302826	−	0.182204i
$489$	2.74856	−	3.23586i	0.124294	−	0.146331i
$490$	13.2097	+	4.45087i	0.596754	+	0.201070i
$491$	29.6269	+	13.7069i	1.33704	+	0.618582i	0.952504	−	0.304526i	$-0.0984982\pi$
$491$	29.6269	+	13.7069i	1.33704	+	0.618582i	0.384539	+	0.923109i	$0.374360\pi$
$492$	−5.18636	−	9.78252i	−0.233819	−	0.441030i
$493$	−13.7203	+	3.02006i	−0.617931	+	0.136017i
$494$	9.41961	−	23.6414i	0.423808	−	1.06368i
$495$	2.22824	−	0.750782i	0.100152	−	0.0337452i
$496$	−4.51038	−	0.490533i	−0.202522	−	0.0220256i
$497$	−0.236986	+	4.37095i	−0.0106303	+	0.196064i
$498$	0.0692438	+	1.27713i	0.00310289	+	0.0572294i
$499$	1.74305	−	0.189568i	0.0780296	−	0.00848623i	−0.0690209	−	0.997615i	$-0.521988\pi$
$499$	1.74305	−	0.189568i	0.0780296	−	0.00848623i	0.147051	+	0.989129i	$0.453022\pi$
$500$	4.28492	−	1.98242i	0.191628	−	0.0886563i
$501$	−5.28943	−	4.02092i	−0.236314	−	0.179641i
$502$	−11.5077	−	8.74791i	−0.513613	−	0.390438i
$503$	28.8661	−	13.3549i	1.28707	−	0.595464i	0.347459	−	0.937695i	$-0.387045\pi$
$503$	28.8661	−	13.3549i	1.28707	−	0.595464i	0.939616	+	0.342231i	$0.111183\pi$
$504$	−1.46824	+	0.159681i	−0.0654007	+	0.00711275i
$505$	0.450964	+	8.31754i	0.0200676	+	0.370126i
$506$	0.116812	−	2.15446i	0.00519291	−	0.0957775i
$507$	−2.19546	−	0.238771i	−0.0975040	−	0.0106042i
$508$	9.65700	−	3.25382i	0.428460	−	0.144365i
$509$	−11.0105	+	27.6342i	−0.488031	+	1.22486i	0.454500	+	0.890747i	$0.349818\pi$
$509$	−11.0105	+	27.6342i	−0.488031	+	1.22486i	−0.942531	+	0.334118i	$0.891561\pi$
$510$	−10.2248	+	2.25064i	−0.452760	+	0.0996600i
$511$	−1.84070	−	3.47193i	−0.0814278	−	0.153589i
$512$	−0.907575	−	0.419889i	−0.0401095	−	0.0185567i
$513$	6.18410	+	2.08367i	0.273035	+	0.0919961i
$514$	5.18532	−	6.10463i	0.228715	−	0.269264i
$515$	35.5293	+	21.3773i	1.56561	+	0.941995i
$516$	0.481368	+	1.73373i	0.0211910	+	0.0763232i
$517$	−3.80244	−	0.836980i	−0.167231	−	0.0368103i
$518$	7.07824	−	10.4396i	0.311000	−	0.458691i
$519$	3.34675	+	3.17021i	0.146906	+	0.139157i
$520$	9.66625	−	5.81599i	0.423893	−	0.255048i
$521$	6.44928	−	39.3388i	0.282548	−	1.72347i	−0.339603	−	0.940569i	$-0.610293\pi$
$521$	6.44928	−	39.3388i	0.282548	−	1.72347i	0.622151	−	0.782897i	$-0.286259\pi$
$522$	2.17834	+	3.21281i	0.0953433	+	0.140621i
$523$	−2.72410	−	6.83698i	−0.119117	−	0.298960i	0.857313	−	0.514795i	$-0.172132\pi$
$523$	−2.72410	−	6.83698i	−0.119117	−	0.298960i	−0.976430	+	0.215835i	$0.930753\pi$
$524$	−5.92441	−	6.97475i	−0.258809	−	0.304694i
$525$	0.804706	+	4.90849i	0.0351203	+	0.214224i
$526$	−9.97888	+	9.45250i	−0.435100	+	0.412148i
$527$	−4.39294	+	15.8220i	−0.191360	+	0.689215i
$528$	0.380741	−	0.718154i	0.0165696	−	0.0312537i
$529$	−12.7009	+	9.65496i	−0.552212	+	0.419781i
$530$	−25.9659			−1.12789
$531$	5.62349	+	5.23224i	0.244039	+	0.227060i
$532$	9.63780			0.417852
$533$	34.3751	−	26.1313i	1.48895	−	1.13187i
$534$	3.58544	−	6.76285i	0.155157	−	0.292657i
$535$	−12.5386	+	45.1599i	−0.542090	+	1.95243i
$536$	−8.92100	+	8.45042i	−0.385328	+	0.365002i
$537$	−1.80096	−	10.9854i	−0.0777173	−	0.474055i
$538$	0.166852	+	0.196433i	0.00719349	+	0.00846883i
$539$	1.44979	+	3.63870i	0.0624469	+	0.156730i
$540$	1.62336	+	2.39428i	0.0698584	+	0.103033i
$541$	0.643135	−	3.92295i	0.0276505	−	0.168661i	−0.969391	−	0.245521i	$-0.921041\pi$
$541$	0.643135	−	3.92295i	0.0276505	−	0.168661i	0.997042	+	0.0768599i	$0.0244894\pi$
$542$	27.4071	−	16.4903i	1.17724	−	0.708320i
$543$	−4.94254	−	4.68182i	−0.212105	−	0.200916i
$544$	−2.03108	+	2.99562i	−0.0870819	+	0.128436i
$545$	16.3913	+	3.60799i	0.702125	+	0.154549i
$546$	−1.54086	−	5.54967i	−0.0659426	−	0.237504i
$547$	−15.9528	−	9.59847i	−0.682092	−	0.410401i	0.131911	−	0.991262i	$-0.457889\pi$
$547$	−15.9528	−	9.59847i	−0.682092	−	0.410401i	−0.814003	+	0.580861i	$0.802716\pi$
$548$	10.0681	−	11.8530i	0.430086	−	0.506337i
$549$	7.39851	+	2.49285i	0.315761	+	0.106392i
$550$	−2.48453	−	1.14947i	−0.105941	−	0.0490134i
$551$	−11.8651	−	22.3799i	−0.505468	−	0.953415i
$552$	2.59237	−	0.570623i	0.110339	−	0.0242873i
$553$	0.125565	−	0.315146i	0.00533959	−	0.0134014i
$554$	2.14055	−	0.721237i	0.0909434	−	0.0306424i
$555$	−24.5596	−	2.67102i	−1.04250	−	0.113378i
$556$	−0.437428	+	8.06788i	−0.0185511	+	0.342154i
$557$	2.02930	+	37.4282i	0.0859842	+	1.58588i	0.649879	+	0.760038i	$0.274820\pi$
$557$	2.02930	+	37.4282i	0.0859842	+	1.58588i	−0.563894	+	0.825847i	$0.690698\pi$
$558$	4.51038	−	0.490533i	0.190940	−	0.0207659i
$559$	−6.36843	+	2.94635i	−0.269356	+	0.124617i
$560$	3.40112	+	2.58547i	0.143724	+	0.109256i
$561$	−2.34201	−	1.78035i	−0.0988797	−	0.0751664i
$562$	19.9445	−	9.22732i	0.841309	−	0.389231i
$563$	25.8420	−	2.81049i	1.08911	−	0.118448i	0.454099	−	0.890951i	$-0.349961\pi$
$563$	25.8420	−	2.81049i	1.08911	−	0.118448i	0.635011	+	0.772503i	$0.280996\pi$
$564$	−0.259323	−	4.78293i	−0.0109195	−	0.201398i
$565$	2.20961	−	40.7538i	0.0929589	−	1.71453i
$566$	−12.4814	−	1.35744i	−0.524634	−	0.0570574i
$567$	1.39959	−	0.471576i	0.0587772	−	0.0198043i
$568$	1.09705	−	2.75339i	0.0460312	−	0.115530i
$569$	−35.8084	+	7.88203i	−1.50117	+	0.330432i	−0.888119	−	0.459614i	$-0.847988\pi$
$569$	−35.8084	+	7.88203i	−1.50117	+	0.330432i	−0.613048	+	0.790046i	$0.710057\pi$
$570$	−8.84219	−	16.6781i	−0.370358	−	0.698570i
$571$	34.1822	+	15.8144i	1.43048	+	0.661811i	0.973714	−	0.227776i	$-0.0731454\pi$
$571$	34.1822	+	15.8144i	1.43048	+	0.661811i	0.456767	+	0.889587i	$0.349007\pi$
$572$	3.00398	+	1.01216i	0.125603	+	0.0423204i
$573$	−5.99670	+	7.05986i	−0.250516	+	0.294930i
$574$	14.0119	+	8.43069i	0.584846	+	0.351890i
$575$	−2.39165	−	8.61393i	−0.0997386	−	0.359226i
$576$	0.976621	+	0.214970i	0.0406925	+	0.00895710i
$577$	−6.41534	+	9.46192i	−0.267074	+	0.393905i	−0.937452	−	0.348115i	$-0.886822\pi$
$577$	−6.41534	+	9.46192i	−0.267074	+	0.393905i	0.670378	+	0.742020i	$0.266132\pi$
$578$	−2.83209	−	2.68270i	−0.117799	−	0.111585i
$579$	19.9176	−	11.9840i	0.827749	−	0.498040i
$580$	1.81659	−	11.0807i	0.0754296	−	0.460100i
$581$	−1.06006	−	1.56347i	−0.0439787	−	0.0648637i
$582$	3.19378	+	8.01578i	0.132386	+	0.332265i
$583$	−4.72350	−	5.56094i	−0.195628	−	0.230311i
$584$	0.430465	+	2.62572i	0.0178128	+	0.108653i
$585$	−8.18999	+	7.75797i	−0.338615	+	0.320753i
$586$	2.13223	−	7.67960i	0.0880816	−	0.317241i
$587$	5.35587	−	10.1022i	0.221060	−	0.416964i	−0.748032	−	0.663663i	$-0.769001\pi$
$587$	5.35587	−	10.1022i	0.221060	−	0.416964i	0.969092	+	0.246699i	$0.0793458\pi$
$588$	−3.83619	+	2.91620i	−0.158202	+	0.120262i
$589$	−29.6069			−1.21993
$590$	−1.40129	−	22.1752i	−0.0576904	−	0.912940i
$591$	11.3838			0.468269
$592$	−6.79878	+	5.16830i	−0.279428	+	0.212416i
$593$	−6.73737	+	12.7080i	−0.276671	+	0.521856i	−0.982438	−	0.186587i	$-0.940257\pi$
$593$	−6.73737	+	12.7080i	−0.276671	+	0.521856i	0.705768	+	0.708443i	$0.250602\pi$
$594$	−0.217458	+	0.783212i	−0.00892240	+	0.0321356i
$595$	11.2257	−	10.6335i	0.460207	−	0.435931i
$596$	1.12555	+	6.86556i	0.0461044	+	0.281224i
$597$	−15.1506	−	17.8367i	−0.620072	−	0.730006i
$598$	3.83157	+	9.61651i	0.156685	+	0.393248i
$599$	−5.60914	−	8.27287i	−0.229183	−	0.338020i	0.695658	−	0.718373i	$-0.255113\pi$
$599$	−5.60914	−	8.27287i	−0.229183	−	0.338020i	−0.924841	+	0.380353i	$0.875803\pi$
$600$	0.544862	−	3.32351i	0.0222439	−	0.135682i
$601$	−24.9875	+	15.0345i	−1.01926	+	0.613268i	−0.924083	−	0.382192i	$-0.875169\pi$
$601$	−24.9875	+	15.0345i	−1.01926	+	0.613268i	−0.0951766	+	0.995460i	$0.530342\pi$
$602$	−1.92927	−	1.82750i	−0.0786310	−	0.0744832i
$603$	6.89584	−	10.1706i	0.280820	−	0.414179i
$604$	−1.58183	−	0.348188i	−0.0643639	−	0.0141676i
$605$	8.00144	+	28.8186i	0.325305	+	1.17164i
$606$	−2.46736	−	1.48456i	−0.100230	−	0.0603062i
$607$	−16.3126	+	19.2047i	−0.662108	+	0.779493i	−0.986026	−	0.166592i	$-0.946724\pi$
$607$	−16.3126	+	19.2047i	−0.662108	+	0.779493i	0.323918	+	0.946085i	$0.395000\pi$
$608$	−6.18410	−	2.08367i	−0.250798	−	0.0845038i
$609$	−5.20297	−	2.40715i	−0.210835	−	0.0975426i
$610$	−10.5786	−	19.9533i	−0.428314	−	0.807886i
$611$	18.2431	−	4.01561i	0.738037	−	0.162454i
$612$	1.33963	−	3.36221i	0.0541511	−	0.135909i
$613$	−6.06973	+	2.04513i	−0.245154	+	0.0826020i	−0.439196	−	0.898391i	$-0.644737\pi$
$613$	−6.06973	+	2.04513i	−0.245154	+	0.0826020i	0.194042	+	0.980993i	$0.437840\pi$
$614$	15.9424	+	1.73384i	0.643381	+	0.0699719i
$615$	1.73402	−	31.9822i	0.0699226	−	1.28965i
$616$	0.0649928	+	1.19872i	0.00261864	+	0.0482979i
$617$	−12.0511	+	1.31064i	−0.485161	+	0.0527644i	−0.347431	−	0.937706i	$-0.612946\pi$
$617$	−12.0511	+	1.31064i	−0.485161	+	0.0527644i	−0.137729	+	0.990470i	$0.543980\pi$
$618$	−13.0093	+	6.01874i	−0.523310	+	0.242109i
$619$	18.7713	+	14.2696i	0.754481	+	0.573542i	0.910156	−	0.414267i	$-0.135962\pi$
$619$	18.7713	+	14.2696i	0.754481	+	0.573542i	−0.155674	+	0.987808i	$0.549755\pi$
$620$	−10.4481	−	7.94245i	−0.419606	−	0.318976i
$621$	−2.40909	+	1.11457i	−0.0966736	+	0.0447260i
$622$	16.3957	−	1.78314i	0.657406	−	0.0714973i
$623$	0.612037	+	11.2884i	0.0245207	+	0.452258i
$624$	−0.211131	+	3.89408i	−0.00845199	+	0.155888i
$625$	30.3180	+	3.29728i	1.21272	+	0.131891i
$626$	2.93699	−	0.989585i	0.117386	−	0.0395518i
$627$	1.96334	−	4.92762i	0.0784084	−	0.196790i
$628$	−19.6349	+	4.32198i	−0.783519	+	0.172466i
$629$	14.4781	+	27.3086i	0.577279	+	1.08886i
$630$	−3.87740	−	1.79388i	−0.154479	−	0.0714698i
$631$	15.8826	+	5.35146i	0.632275	+	0.213038i	0.617148	−	0.786847i	$-0.288288\pi$
$631$	15.8826	+	5.35146i	0.632275	+	0.213038i	0.0151272	+	0.999886i	$0.495185\pi$
$632$	−0.148703	+	0.175066i	−0.00591508	+	0.00696377i
$633$	−0.684820	−	0.412042i	−0.0272191	−	0.0163772i
$634$	−1.44629	−	5.20908i	−0.0574397	−	0.206879i
$635$	28.7890	+	6.33693i	1.14246	+	0.251473i
$636$	5.03736	−	7.42955i	0.199744	−	0.294601i
$637$	−13.6431	−	12.9234i	−0.540558	−	0.512044i
$638$	2.70353	−	1.62666i	0.107034	−	0.0644002i
$639$	−0.479505	+	2.92485i	−0.0189689	+	0.115705i
$640$	−1.62336	−	2.39428i	−0.0641690	−	0.0946422i
$641$	−13.8143	−	34.6713i	−0.545632	−	1.36943i	−0.900638	−	0.434570i	$-0.856900\pi$
$641$	−13.8143	−	34.6713i	−0.545632	−	1.36943i	0.355006	−	0.934864i	$-0.384479\pi$
$642$	−10.4890	−	12.3486i	−0.413968	−	0.487361i
$643$	0.128344	+	0.782865i	0.00506140	+	0.0308732i	0.989236	−	0.146326i	$-0.0467447\pi$
$643$	0.128344	+	0.782865i	0.00506140	+	0.0308732i	−0.984175	+	0.177199i	$0.943296\pi$
$644$	−2.84613	+	2.69600i	−0.112153	+	0.106237i
$645$	−1.39247	+	5.01521i	−0.0548283	+	0.197474i
$646$	−11.0630	+	20.8670i	−0.435266	+	0.821000i
$647$	−32.8024	+	24.9358i	−1.28960	+	0.980326i	−0.289868	+	0.957067i	$0.593611\pi$
$647$	−32.8024	+	24.9358i	−1.28960	+	0.980326i	−0.999729	+	0.0232596i	$0.992596\pi$
$648$	−1.00000			−0.0392837
$649$	4.49421	−	4.33405i	0.176413	−	0.170126i
$650$	13.1340			0.515159
$651$	−5.33434	+	4.05506i	−0.209069	+	0.158930i
$652$	1.98869	−	3.75107i	0.0778831	−	0.146903i
$653$	5.79766	−	20.8813i	0.226880	−	0.817148i	−0.759197	−	0.650860i	$-0.774408\pi$
$653$	5.79766	−	20.8813i	0.226880	−	0.817148i	0.986077	−	0.166287i	$-0.0531779\pi$
$654$	−4.21224	+	3.99005i	−0.164712	+	0.156023i
$655$	−4.28272	−	26.1234i	−0.167340	−	1.02073i
$656$	−7.16806	−	8.43889i	−0.279866	−	0.329483i
$657$	−0.984854	−	2.47180i	−0.0384228	−	0.0964340i
$658$	3.96999	+	5.85530i	0.154766	+	0.228263i
$659$	−3.29757	+	20.1143i	−0.128455	+	0.783543i	0.841500	+	0.540258i	$0.181673\pi$
$659$	−3.29757	+	20.1143i	−0.128455	+	0.783543i	−0.969955	+	0.243285i	$0.921775\pi$
$660$	2.01475	−	1.21224i	0.0784241	−	0.0471862i
$661$	−25.3641	−	24.0262i	−0.986551	−	0.934511i	0.0113065	−	0.999936i	$-0.496401\pi$
$661$	−25.3641	−	24.0262i	−0.986551	−	0.934511i	−0.997857	+	0.0654253i	$0.979160\pi$
$662$	−9.09330	+	13.4116i	−0.353421	+	0.521257i
$663$	13.7844	+	3.03417i	0.535341	+	0.117837i
$664$	0.342170	+	1.23238i	0.0132788	+	0.0478258i
$665$	23.8888	+	14.3734i	0.926367	+	0.557377i
$666$	5.52880	−	6.50900i	0.214236	−	0.252219i
$667$	9.76423	+	3.28995i	0.378073	+	0.127388i
$668$	−6.03015	−	2.78984i	−0.233313	−	0.107942i
$669$	12.7137	+	23.9806i	0.491540	+	0.927142i
$670$	−34.7147	+	7.64128i	−1.34114	+	0.295208i
$671$	2.34890	−	5.89529i	0.0906781	−	0.227585i
$672$	−1.39959	+	0.471576i	−0.0539903	+	0.0181914i
$673$	43.4559	+	4.72612i	1.67510	+	0.182178i	0.895796	−	0.444465i	$-0.146606\pi$
$673$	43.4559	+	4.72612i	1.67510	+	0.182178i	0.779306	+	0.626643i	$0.215572\pi$
$674$	0.248691	−	4.58684i	0.00957923	−	0.176678i
$675$	0.182333	+	3.36294i	0.00701801	+	0.129440i
$676$	−2.19546	+	0.238771i	−0.0844410	+	0.00918351i
$677$	−32.7689	+	15.1605i	−1.25941	+	0.582665i	−0.932082	−	0.362246i	$-0.882010\pi$
$677$	−32.7689	+	15.1605i	−1.25941	+	0.582665i	−0.327327	+	0.944911i	$0.606148\pi$
$678$	11.2321	+	8.53843i	0.431367	+	0.327917i
$679$	−10.1451	−	7.71209i	−0.389333	−	0.295963i
$680$	−9.50189	+	4.39604i	−0.364381	+	0.168581i
$681$	−18.7724	+	2.04163i	−0.719362	+	0.0782353i
$682$	−0.199655	−	3.68243i	−0.00764520	−	0.141007i
$683$	−0.604747	+	11.1539i	−0.0231400	+	0.426792i	0.963895	+	0.266284i	$0.0857960\pi$
$683$	−0.604747	+	11.1539i	−0.0231400	+	0.426792i	−0.987035	+	0.160508i	$0.948687\pi$
$684$	6.48745	+	0.705552i	0.248054	+	0.0269775i
$685$	42.6324	−	14.3645i	1.62890	−	0.548840i
$686$	6.46081	−	16.2154i	0.246675	−	0.619107i
$687$	−26.1289	+	5.75140i	−0.996879	+	0.219430i
$688$	0.842815	+	1.58972i	0.0321320	+	0.0606074i
$689$	31.7702	+	14.6985i	1.21035	+	0.559967i
$690$	7.27659	+	2.45177i	0.277015	+	0.0933373i
$691$	18.1367	−	21.3522i	0.689953	−	0.812276i	−0.299960	−	0.953952i	$-0.596973\pi$
$691$	18.1367	−	21.3522i	0.689953	−	0.812276i	0.989913	+	0.141676i	$0.0452492\pi$
$692$	3.95000	+	2.37664i	0.150157	+	0.0903463i
$693$	−0.321163	−	1.15673i	−0.0122000	−	0.0439404i
$694$	35.1972	+	7.74748i	1.33607	+	0.294090i
$695$	−13.1163	+	19.3451i	−0.497530	+	0.733802i
$696$	2.81807	+	2.66942i	0.106819	+	0.101184i
$697$	−34.3373	+	20.6601i	−1.30062	+	0.782556i
$698$	−0.663947	+	4.04990i	−0.0251307	+	0.153291i
$699$	9.37773	+	13.8311i	0.354698	+	0.523141i
$700$	1.84107	+	4.62074i	0.0695860	+	0.174648i
$701$	22.1366	+	26.0612i	0.836088	+	0.984319i	0.999998	−	0.00215611i	$-0.000686310\pi$
$701$	22.1366	+	26.0612i	0.836088	+	0.984319i	−0.163909	+	0.986475i	$0.552410\pi$
$702$	−0.630917	−	3.84842i	−0.0238124	−	0.145249i
$703$	−40.4602	+	38.3259i	−1.52599	+	1.44549i
$704$	0.217458	−	0.783212i	0.00819575	−	0.0295184i
$705$	6.49028	−	12.2420i	0.244438	−	0.461059i
$706$	−20.9828	+	15.9507i	−0.789696	+	0.600311i
$707$	4.25280			0.159943
$708$	6.61679	+	3.90103i	0.248674	+	0.146610i
$709$	−5.88394			−0.220976			−0.110488	−	0.993877i	$-0.535241\pi$
$709$	−5.88394			−0.220976			−0.110488	+	0.993877i	$0.535241\pi$
$710$	6.82549	−	5.18861i	0.256156	−	0.194725i
$711$	0.107592	−	0.202940i	0.00403502	−	0.00761085i
$712$	2.04780	−	7.37550i	0.0767445	−	0.276409i
$713$	8.74321	−	8.28201i	0.327436	−	0.310164i
$714$	0.864770	+	5.27486i	0.0323632	+	0.197407i
$715$	5.93634	+	6.98879i	0.222006	+	0.261366i
$716$	−4.12039	−	10.3414i	−0.153986	−	0.386476i
$717$	2.84042	+	4.18931i	0.106078	+	0.156453i
$718$	2.44241	−	14.8980i	0.0911500	−	0.555990i
$719$	24.1057	−	14.5039i	0.898990	−	0.540904i	0.0105741	−	0.999944i	$-0.496634\pi$
$719$	24.1057	−	14.5039i	0.898990	−	0.540904i	0.888416	+	0.459040i	$0.151807\pi$
$720$	2.10011	+	1.98933i	0.0782664	+	0.0741379i
$721$	11.8803	−	17.5222i	0.442447	−	0.652561i
$722$	−23.0334	−	5.07003i	−0.857214	−	0.188687i
$723$	−5.66840	−	20.4157i	−0.210810	−	0.759269i
$724$	−5.83344	−	3.50986i	−0.216798	−	0.130443i
$725$	8.46326	−	9.96372i	0.314318	−	0.370043i
$726$	−9.79806	−	3.30135i	−0.363640	−	0.122525i
$727$	43.8559	+	20.2899i	1.62652	+	0.752510i	0.999646	−	0.0266064i	$-0.00847008\pi$
$727$	43.8559	+	20.2899i	1.62652	+	0.752510i	0.626879	+	0.779117i	$0.284332\pi$
$728$	−2.69785	−	5.08868i	−0.0999889	−	0.188599i
$729$	0.976621	−	0.214970i	0.0361711	−	0.00796187i
$730$	−2.84891	+	7.15024i	−0.105443	+	0.264642i
$731$	6.17130	−	2.07935i	0.228254	−	0.0769076i
$732$	7.76142	+	0.844106i	0.286870	+	0.0311990i
$733$	1.51828	−	28.0030i	0.0560789	−	1.03431i	−0.826137	−	0.563470i	$-0.809466\pi$
$733$	1.51828	−	28.0030i	0.0560789	−	1.03431i	0.882216	−	0.470845i	$-0.156051\pi$
$734$	1.12784	+	20.8018i	0.0416294	+	0.767809i
$735$	−13.8577	+	1.50711i	−0.511148	+	0.0555907i
$736$	2.40909	−	1.11457i	0.0888004	−	0.0410834i
$737$	−7.95149	−	6.04457i	−0.292897	−	0.222654i
$738$	8.81459	+	6.70068i	0.324469	+	0.246655i
$739$	12.2307	−	5.65853i	0.449914	−	0.208152i	−0.181829	−	0.983330i	$-0.558202\pi$
$739$	12.2307	−	5.65853i	0.449914	−	0.208152i	0.631743	+	0.775178i	$0.282340\pi$
$740$	−24.5596	+	2.67102i	−0.902829	+	0.0981886i
$741$	1.37778	+	25.4116i	0.0506139	+	0.933518i
$742$	−0.717721	+	13.2376i	−0.0263484	+	0.485967i
$743$	−9.28039	−	1.00930i	−0.340464	−	0.0370277i	−0.0637101	−	0.997968i	$-0.520293\pi$
$743$	−9.28039	−	1.00930i	−0.340464	−	0.0370277i	−0.276754	+	0.960941i	$0.589259\pi$
$744$	4.29948	−	1.44866i	0.157627	−	0.0531106i
$745$	−7.44915	+	18.6960i	−0.272916	+	0.684967i
$746$	10.7219	−	2.36007i	0.392558	−	0.0864085i
$747$	−0.599096	−	1.13001i	−0.0219198	−	0.0413451i
$748$	−2.66998	−	1.23526i	−0.0976240	−	0.0451657i
$749$	22.6762	+	7.64051i	0.828572	+	0.279178i
$750$	−3.05649	+	3.59838i	−0.111607	+	0.131394i
$751$	13.2941	+	7.99881i	0.485109	+	0.291881i	0.737021	−	0.675870i	$-0.236232\pi$
$751$	13.2941	+	7.99881i	0.485109	+	0.291881i	−0.251912	+	0.967750i	$0.581059\pi$
$752$	−1.28145	−	4.61536i	−0.0467296	−	0.168305i
$753$	14.1172	+	3.10744i	0.514460	+	0.113241i
$754$	−8.49508	+	12.5293i	−0.309373	+	0.456290i
$755$	−3.40155	−	3.22212i	−0.123795	−	0.117265i
$756$	1.26549	−	0.761421i	0.0460255	−	0.0276926i
$757$	−0.209546	+	1.27817i	−0.00761608	+	0.0464560i	−0.990361	−	0.138509i	$-0.955769\pi$
$757$	−0.209546	+	1.27817i	−0.00761608	+	0.0464560i	0.982745	+	0.184965i	$0.0592172\pi$
$758$	9.57356	+	14.1200i	0.347728	+	0.512860i
$759$	0.798620	+	2.00438i	0.0289881	+	0.0727546i
$760$	−12.2208	−	14.3874i	−0.443294	−	0.521886i
$761$	2.51644	+	15.3496i	0.0912210	+	0.556423i	0.992408	+	0.122992i	$0.0392490\pi$
$761$	2.51644	+	15.3496i	0.0912210	+	0.556423i	−0.901187	+	0.433431i	$0.857303\pi$
$762$	−7.39821	+	7.00795i	−0.268009	+	0.253871i
$763$	2.29245	−	8.25666i	0.0829922	−	0.298911i
$764$	−4.33884	+	8.18392i	−0.156974	+	0.296084i
$765$	8.33472	−	6.33589i	0.301342	−	0.229075i
$766$	−28.2041			−1.01906
$767$	−10.8382	+	27.9254i	−0.391343	+	1.00833i
$768$	1.00000			0.0360844
$769$	−16.6291	+	12.6411i	−0.599660	+	0.455850i	−0.860442	−	0.509548i	$-0.829813\pi$
$769$	−16.6291	+	12.6411i	−0.599660	+	0.455850i	0.260782	+	0.965398i	$0.416020\pi$
$770$	−1.62663	+	3.06815i	−0.0586196	+	0.110568i
$771$	−2.14280	+	7.71768i	−0.0771711	+	0.277945i
$772$	16.8758	−	15.9856i	0.607372	−	0.575333i
$773$	3.13510	+	19.1233i	0.112762	+	0.687816i	0.981342	+	0.192268i	$0.0615844\pi$
$773$	3.13510	+	19.1233i	0.112762	+	0.687816i	−0.868581	+	0.495548i	$0.834967\pi$
$774$	−1.16485	−	1.37137i	−0.0418698	−	0.0492929i
$775$	−5.65570	−	14.1947i	−0.203159	−	0.509890i
$776$	4.84227	+	7.14181i	0.173827	+	0.256376i
$777$	−2.04055	+	12.4468i	−0.0732044	+	0.446527i
$778$	26.1623	−	15.7413i	0.937963	−	0.564354i
$779$	−52.4565	−	49.6894i	−1.87945	−	1.78031i
$780$	−6.33078	+	9.33720i	−0.226678	+	0.334325i
$781$	2.35285	+	0.517901i	0.0841915	+	0.0185319i
$782$	−2.57016	−	9.25688i	−0.0919087	−	0.331025i
$783$	−3.32603	−	2.00121i	−0.118863	−	0.0715173i
$784$	−3.11961	+	3.67268i	−0.111414	+	0.131167i
$785$	−55.1139	−	18.5700i	−1.96710	−	0.662792i
$786$	8.30547	+	3.84252i	0.296246	+	0.137058i
$787$	−19.0356	−	35.9049i	−0.678545	−	1.27987i	−0.948432	−	0.316980i	$-0.897331\pi$
$787$	−19.0356	−	35.9049i	−0.678545	−	1.27987i	0.269887	−	0.962892i	$-0.413014\pi$
$788$	11.1177	−	2.44719i	0.396052	−	0.0871776i
$789$	5.08759	−	12.7689i	0.181123	−	0.454584i
$790$	−0.629670	+	0.212160i	−0.0224026	+	0.00754833i
$791$	−20.7155	−	2.25295i	−0.736558	−	0.0801055i
$792$	−0.0440063	+	0.811648i	−0.00156370	+	0.0288407i
$793$	1.64834	+	30.4018i	0.0585342	+	1.07960i
$794$	−27.4828	+	2.98893i	−0.975328	+	0.106073i
$795$	23.5660	−	10.9028i	0.835800	−	0.386682i
$796$	−18.6307	−	14.1627i	−0.660349	−	0.501984i
$797$	1.83917	+	1.39810i	0.0651466	+	0.0495232i	0.637241	−	0.770665i	$-0.280076\pi$
$797$	1.83917	+	1.39810i	0.0651466	+	0.0495232i	−0.572094	+	0.820188i	$0.693869\pi$
$798$	−8.74703	+	4.04681i	−0.309642	+	0.143255i
$799$	−17.2344	+	1.87436i	−0.609711	+	0.0663100i
$800$	−0.182333	−	3.36294i	−0.00644645	−	0.118898i
$801$	−0.414407	+	7.64328i	−0.0146423	+	0.270062i
$802$	31.0891	+	3.38115i	1.09780	+	0.119392i
$803$	−2.04957	+	0.690580i	−0.0723277	+	0.0243701i
$804$	4.54824	−	11.4152i	0.160404	−	0.402584i
$805$	−11.0753	+	2.43786i	−0.390353	+	0.0859231i
$806$	8.28768	+	15.6322i	0.291921	+	0.550621i
$807$	−0.233911	−	0.108219i	−0.00823404	−	0.00380947i
$808$	−2.72881	−	0.919444i	−0.0959993	−	0.0323459i
$809$	−18.0310	+	21.2277i	−0.633934	+	0.746325i	−0.981528	−	0.191320i	$-0.938723\pi$
$809$	−18.0310	+	21.2277i	−0.633934	+	0.746325i	0.347593	+	0.937645i	$0.386999\pi$
$810$	−2.47866	−	1.49136i	−0.0870911	−	0.0524010i
$811$	−2.35729	−	8.49018i	−0.0827755	−	0.298131i	0.910562	−	0.413373i	$-0.135649\pi$
$811$	−2.35729	−	8.49018i	−0.0827755	−	0.298131i	−0.993337	+	0.115242i	$0.963236\pi$
$812$	−5.59879	−	1.23239i	−0.196479	−	0.0432483i
$813$	−17.9499	+	26.4742i	−0.629532	+	0.928490i
$814$	−5.03972	−	4.77387i	−0.176642	−	0.167324i
$815$	10.5235	−	6.33176i	0.368621	−	0.221792i
$816$	0.585531	−	3.57158i	0.0204977	−	0.125030i
$817$	6.58935	+	9.71856i	0.230532	+	0.340009i
$818$	−8.55181	−	21.4634i	−0.299007	−	0.750451i
$819$	3.72869	+	4.38975i	0.130291	+	0.153390i
$820$	−5.18174	−	31.6072i	−0.180954	−	1.10377i
$821$	−6.73711	+	6.38173i	−0.235127	+	0.222724i	−0.796186	−	0.605052i	$-0.793152\pi$
$821$	−6.73711	+	6.38173i	−0.235127	+	0.222724i	0.561060	+	0.827775i	$0.310394\pi$
$822$	−4.16056	+	14.9850i	−0.145116	+	0.522662i
$823$	−10.9215	+	20.6002i	−0.380701	+	0.718077i	−0.997620	−	0.0689487i	$-0.978036\pi$
$823$	−10.9215	+	20.6002i	−0.380701	+	0.718077i	0.616920	+	0.787026i	$0.288380\pi$
$824$	−11.4113	+	8.67463i	−0.397531	+	0.302195i
$825$	2.73755			0.0953092
$826$	−11.3438	+	0.101445i	−0.394702	+	0.00352973i
$827$	5.12905			0.178354			0.0891772	−	0.996016i	$-0.471576\pi$
$827$	5.12905			0.178354			0.0891772	+	0.996016i	$0.471576\pi$
$828$	−2.11317	+	1.60639i	−0.0734378	+	0.0558259i
$829$	−12.5113	+	23.5989i	−0.434537	+	0.819623i	−0.999987	−	0.00515923i	$-0.998358\pi$
$829$	−12.5113	+	23.5989i	−0.434537	+	0.819623i	0.565450	+	0.824783i	$0.308703\pi$
$830$	−0.989804	+	3.56495i	−0.0343566	+	0.123741i
$831$	−1.63987	+	1.55337i	−0.0568866	+	0.0538859i
$832$	0.630917	+	3.84842i	0.0218731	+	0.133420i
$833$	11.2907	+	13.2924i	0.391198	+	0.460554i
$834$	−2.99061	−	7.50588i	−0.103557	−	0.259907i
$835$	−10.7860	−	15.9082i	−0.373265	−	0.550525i
$836$	0.858149	−	5.23448i	0.0296797	−	0.181038i
$837$	−3.88754	+	2.33905i	−0.134373	+	0.0808495i
$838$	−8.64987	−	8.19360i	−0.298805	−	0.283043i
$839$	−27.1836	+	40.0928i	−0.938483	+	1.38416i	−0.0152643	+	0.999883i	$0.504859\pi$
$839$	−27.1836	+	40.0928i	−0.938483	+	1.38416i	−0.923219	+	0.384275i	$0.874451\pi$
$840$	−4.17238	−	0.918411i	−0.143961	−	0.0316882i
$841$	−3.72739	−	13.4248i	−0.128531	−	0.462926i
$842$	25.9252	+	15.5987i	0.893443	+	0.537567i
$843$	−14.2267	+	16.7490i	−0.489994	+	0.576866i
$844$	−0.757386	−	0.255193i	−0.0260703	−	0.00878411i
$845$	−5.79789	−	2.68239i	−0.199454	−	0.0922771i
$846$	2.24365	+	4.23198i	0.0771384	+	0.145498i
$847$	14.9131	−	3.28262i	0.512419	−	0.112792i
$848$	3.32246	−	8.33874i	0.114094	−	0.286353i
$849$	11.8978	−	4.00884i	0.408332	−	0.137583i
$850$	−12.1178	−	1.31789i	−0.415636	−	0.0452031i
$851$	1.22729	−	22.6360i	0.0420710	−	0.775953i
$852$	0.160462	+	2.95955i	0.00549734	+	0.101392i
$853$	12.2708	−	1.33453i	0.420143	−	0.0456934i	0.104394	−	0.994536i	$-0.466710\pi$
$853$	12.2708	−	1.33453i	0.420143	−	0.0456934i	0.315749	+	0.948843i	$0.397744\pi$
$854$	−10.4647	+	4.84150i	−0.358096	+	0.165673i
$855$	15.0279	+	11.4239i	0.513944	+	0.390690i
$856$	−12.8984	−	9.80508i	−0.440857	−	0.335131i
$857$	−30.7974	+	14.2484i	−1.05202	+	0.486715i	−0.868184	−	0.496242i	$-0.834713\pi$
$857$	−30.7974	+	14.2484i	−1.05202	+	0.486715i	−0.183834	+	0.982957i	$0.558851\pi$
$858$	−3.15133	+	0.342728i	−0.107585	+	0.0117005i
$859$	0.476877	+	8.79549i	0.0162708	+	0.300098i	0.995331	+	0.0965249i	$0.0307727\pi$
$859$	0.476877	+	8.79549i	0.0162708	+	0.300098i	−0.979060	+	0.203573i	$0.934744\pi$
$860$	−0.281789	+	5.19730i	−0.00960894	+	0.177226i
$861$	−16.2568	−	1.76804i	−0.554031	−	0.0602545i
$862$	−19.4055	+	6.53846i	−0.660952	+	0.222701i
$863$	−9.73924	+	24.4436i	−0.331528	+	0.832071i	0.664846	+	0.746981i	$0.268497\pi$
$863$	−9.73924	+	24.4436i	−0.331528	+	0.832071i	−0.996373	+	0.0850906i	$0.972882\pi$
$864$	−0.976621	+	0.214970i	−0.0332253	+	0.00731344i
$865$	6.24628	+	11.7817i	0.212380	+	0.400591i
$866$	33.0487	+	15.2900i	1.12304	+	0.519574i
$867$	3.69677	+	1.24559i	0.125549	+	0.0423023i
$868$	−4.33791	+	5.10698i	−0.147238	+	0.173342i
$869$	−0.159981	−	0.0962576i	−0.00542700	−	0.00326532i
$870$	3.00397	+	10.8193i	0.101844	+	0.366809i
$871$	46.8001	+	10.3015i	1.58576	+	0.349053i
$872$	−3.25602	+	4.80227i	−0.110263	+	0.162625i
$873$	−6.26434	−	5.93389i	−0.212016	−	0.200832i
$874$	14.8425	−	8.93042i	0.502054	−	0.302076i
$875$	1.12808	−	6.88100i	0.0381362	−	0.232620i
$876$	−1.49319	−	2.20229i	−0.0504503	−	0.0744086i
$877$	20.1381	+	50.5429i	0.680016	+	1.70671i	0.707134	+	0.707080i	$0.249988\pi$
$877$	20.1381	+	50.5429i	0.680016	+	1.70671i	−0.0271179	+	0.999632i	$0.508633\pi$
$878$	14.0032	+	16.4858i	0.472585	+	0.556370i
$879$	1.28942	+	7.86512i	0.0434911	+	0.265284i
$880$	1.70705	−	1.61701i	0.0575447	−	0.0545093i
$881$	1.71074	−	6.16153i	0.0576363	−	0.207587i	−0.929125	−	0.369765i	$-0.879438\pi$
$881$	1.71074	−	6.16153i	0.0576363	−	0.207587i	0.986762	+	0.162178i	$0.0518519\pi$
$882$	2.25715	−	4.25744i	0.0760023	−	0.143356i
$883$	−33.8714	+	25.7484i	−1.13987	+	0.866503i	−0.992459	−	0.122573i	$-0.960885\pi$
$883$	−33.8714	+	25.7484i	−1.13987	+	0.866503i	−0.147406	+	0.989076i	$0.547092\pi$
$884$	14.1144			0.474718
$885$	10.5829	+	19.5373i	0.355741	+	0.656740i
$886$	35.1958			1.18243
$887$	18.6143	−	14.1503i	0.625008	−	0.475119i	−0.244094	−	0.969752i	$-0.578490\pi$
$887$	18.6143	−	14.1503i	0.625008	−	0.475119i	0.869102	+	0.494633i	$0.164697\pi$
$888$	4.00029	−	7.54535i	0.134241	−	0.253205i
$889$	4.02636	−	14.5017i	0.135040	−	0.486370i
$890$	16.0753	−	15.2273i	0.538845	−	0.510421i
$891$	−0.131503	−	0.802133i	−0.00440552	−	0.0268725i
$892$	17.5716	+	20.6868i	0.588340	+	0.692647i
$893$	−11.5697	−	29.0378i	−0.387165	−	0.971712i
$894$	−3.90430	−	5.75841i	−0.130579	−	0.192590i
$895$	5.20970	−	31.7778i	0.174141	−	1.06221i
$896$	−1.26549	+	0.761421i	−0.0422771	+	0.0254373i
$897$	−7.51531	−	7.11888i	−0.250929	−	0.237692i
$898$	21.3757	−	31.5268i	0.713318	−	1.05206i
$899$	17.1993	+	3.78585i	0.573628	+	0.126265i
$900$	0.901003	+	3.24512i	0.0300334	+	0.108171i
$901$	−27.8371	−	16.7490i	−0.927387	−	0.557990i
$902$	5.82649	−	6.85947i	0.194001	−	0.228396i
$903$	2.51830	+	0.848514i	0.0838038	+	0.0282368i
$904$	12.8050	+	5.92424i	0.425889	+	0.197037i
$905$	−9.22462	−	17.3995i	−0.306637	−	0.578378i
$906$	1.58183	−	0.348188i	0.0525529	−	0.0115678i
$907$	10.9999	−	27.6076i	0.365244	−	0.916694i	−0.625410	−	0.780296i	$-0.715068\pi$
$907$	10.9999	−	27.6076i	0.365244	−	0.916694i	0.990654	−	0.136398i	$-0.0435525\pi$
$908$	−17.8947	+	6.02942i	−0.593855	+	0.200093i
$909$	2.86267	+	0.311334i	0.0949487	+	0.0103263i
$910$	0.902007	−	16.6365i	0.0299012	−	0.551496i
$911$	0.742769	+	13.6996i	0.0246090	+	0.453887i	0.984707	+	0.174221i	$0.0557409\pi$
$911$	0.742769	+	13.6996i	0.0246090	+	0.453887i	−0.960097	+	0.279666i	$0.909776\pi$
$912$	6.48745	−	0.705552i	0.214821	−	0.0233632i
$913$	−0.943539	+	0.436527i	−0.0312266	+	0.0144470i
$914$	22.3584	+	16.9964i	0.739551	+	0.562192i
$915$	17.9790	+	13.6673i	0.594368	+	0.451827i
$916$	−24.2816	+	11.2339i	−0.802288	+	0.371178i
$917$	−13.4363	+	1.46128i	−0.443705	+	0.0482558i
$918$	0.195943	+	3.61395i	0.00646707	+	0.119278i
$919$	2.14260	−	39.5180i	0.0706780	−	1.30358i	−0.721126	−	0.692803i	$-0.756375\pi$
$919$	2.14260	−	39.5180i	0.0706780	−	1.30358i	0.791804	−	0.610775i	$-0.209142\pi$
$920$	7.63353	+	0.830196i	0.251670	+	0.0273708i
$921$	−15.1969	+	5.12044i	−0.500755	+	0.168724i
$922$	1.88921	−	4.74156i	0.0622179	−	0.156155i
$923$	−11.2883	+	2.48475i	−0.371560	+	0.0817866i
$924$	−0.562316	−	1.06064i	−0.0184989	−	0.0348925i
$925$	−26.1039	−	12.0770i	−0.858292	−	0.397088i
$926$	−31.0722	−	10.4695i	−1.02110	−	0.344048i
$927$	9.27970	−	10.9249i	0.304785	−	0.358821i
$928$	3.32603	+	2.00121i	0.109182	+	0.0656928i
$929$	6.82383	+	24.5772i	0.223882	+	0.806352i	0.987086	+	0.160193i	$0.0512118\pi$
$929$	6.82383	+	24.5772i	0.223882	+	0.806352i	−0.763203	+	0.646159i	$0.776374\pi$
$930$	12.8174	+	2.82132i	0.420299	+	0.0925148i
$931$	−17.6470	+	26.0274i	−0.578357	+	0.853013i
$932$	12.1318	+	11.4918i	0.397389	+	0.376427i
$933$	−14.1316	+	8.50269i	−0.462647	+	0.278366i
$934$	−3.47207	+	21.1787i	−0.113610	+	0.692989i
$935$	−4.77573	−	7.04368i	−0.156183	−	0.230353i
$936$	−1.44346	−	3.62282i	−0.0471811	−	0.118416i
$937$	29.8760	+	35.1728i	0.976007	+	1.14904i	0.988818	+	0.149126i	$0.0476461\pi$
$937$	29.8760	+	35.1728i	0.976007	+	1.14904i	−0.0128113	+	0.999918i	$0.504078\pi$
$938$	2.93603	+	17.9090i	0.0958647	+	0.584749i
$939$	−2.25002	+	2.13133i	−0.0734266	+	0.0695534i
$940$	3.70688	−	13.3510i	0.120905	−	0.435461i
$941$	7.27282	−	13.7180i	0.237087	−	0.447194i	−0.736207	−	0.676757i	$-0.763385\pi$
$941$	7.27282	−	13.7180i	0.237087	−	0.447194i	0.973294	+	0.229563i	$0.0737296\pi$
$942$	16.0054	−	12.1670i	0.521485	−	0.396423i
$943$	29.3906			0.957091
$944$	7.30070	+	2.38741i	0.237618	+	0.0777036i
$945$	4.27227			0.138977
$946$	−1.16433	+	0.885102i	−0.0378557	+	0.0287771i
$947$	−3.86236	+	7.28519i	−0.125510	+	0.236737i	−0.938302	−	0.345817i	$-0.887602\pi$
$947$	−3.86236	+	7.28519i	−0.125510	+	0.236737i	0.812792	+	0.582554i	$0.197947\pi$
$948$	0.0614505	−	0.221325i	0.00199582	−	0.00718829i
$949$	7.53327	−	7.13590i	0.244540	−	0.231641i
$950$	−3.55561	−	21.6882i	−0.115359	−	0.703660i
$951$	3.49986	+	4.12035i	0.113491	+	0.133612i
$952$	1.97849	+	4.96564i	0.0641233	+	0.160937i
$953$	−34.1083	−	50.3060i	−1.10488	−	1.62957i	−0.698022	−	0.716076i	$-0.745936\pi$
$953$	−34.1083	−	50.3060i	−1.10488	−	1.62957i	−0.406854	−	0.913493i	$-0.633374\pi$
$954$	−1.45220	+	8.85801i	−0.0470166	+	0.286789i
$955$	−22.9596	+	13.8144i	−0.742956	+	0.447022i
$956$	3.67459	+	3.48076i	0.118845	+	0.112576i
$957$	−1.77064	+	2.61150i	−0.0572367	+	0.0844179i
$958$	−16.0998	−	3.54382i	−0.520159	−	0.114496i
$959$	−6.14473	−	22.1313i	−0.198424	−	0.714658i
$960$	2.47866	+	1.49136i	0.0799983	+	0.0481334i
$961$	−6.74309	+	7.93858i	−0.217519	+	0.256083i
$962$	31.5616	+	10.6343i	1.01759	+	0.342864i
$963$	14.7046	+	6.80308i	0.473850	+	0.219226i
$964$	−9.92466	−	18.7199i	−0.319652	−	0.602927i
$965$	65.6694	−	14.4549i	2.11397	−	0.465321i
$966$	1.45106	−	3.64189i	0.0466871	−	0.117176i
$967$	29.8481	−	10.0570i	0.959851	−	0.323412i	0.204599	−	0.978846i	$-0.434411\pi$
$967$	29.8481	−	10.0570i	0.959851	−	0.323412i	0.755252	+	0.655434i	$0.227514\pi$
$968$	−10.2787	−	1.11787i	−0.330369	−	0.0359298i
$969$	1.27866	−	23.5836i	0.0410766	−	0.757613i
$970$	1.35132	+	24.9236i	0.0433883	+	0.800250i
$971$	−39.4113	+	4.28624i	−1.26477	+	0.137552i	−0.715809	−	0.698296i	$-0.753942\pi$
$971$	−39.4113	+	4.28624i	−1.26477	+	0.137552i	−0.548960	+	0.835848i	$0.684976\pi$
$972$	0.907575	−	0.419889i	0.0291105	−	0.0134679i
$973$	9.49973	+	7.22151i	0.304547	+	0.231511i
$974$	−18.1708	−	13.8130i	−0.582228	−	0.442599i
$975$	−11.9201	+	5.51484i	−0.381750	+	0.176616i
$976$	7.76142	−	0.844106i	0.248437	−	0.0270192i
$977$	−0.916697	−	16.9075i	−0.0293277	−	0.540918i	−0.975872	−	0.218344i	$-0.929935\pi$
$977$	−0.916697	−	16.9075i	−0.0293277	−	0.540918i	0.946544	−	0.322574i	$-0.104548\pi$
$978$	−0.229854	+	4.23941i	−0.00734992	+	0.135561i
$979$	6.18542	+	0.672705i	0.197687	+	0.0214997i
$980$	−13.2097	+	4.45087i	−0.421969	+	0.142178i
$981$	2.14755	−	5.38994i	0.0685660	−	0.172088i
$982$	−31.8808	+	7.01750i	−1.01736	+	0.223937i
$983$	−22.6898	−	42.7975i	−0.723692	−	1.36503i	−0.922888	−	0.385068i	$-0.874178\pi$
$983$	−22.6898	−	42.7975i	−0.723692	−	1.36503i	0.199196	−	0.979960i	$-0.436167\pi$
$984$	10.0490	+	4.64914i	0.320349	+	0.148209i
$985$	31.2066	+	10.5147i	0.994324	+	0.335027i
$986$	9.09496	−	10.7074i	0.289643	−	0.340994i
$987$	−6.06164	−	3.64717i	−0.192944	−	0.116091i
$988$	6.80830	+	24.5213i	0.216601	+	0.780126i
$989$	−4.66449	−	1.02673i	−0.148322	−	0.0326482i
$990$	−1.31953	+	1.94617i	−0.0419376	+	0.0618533i
$991$	5.01183	+	4.74745i	0.159206	+	0.150808i	0.763156	−	0.646214i	$-0.223649\pi$
$991$	5.01183	+	4.74745i	0.159206	+	0.150808i	−0.603950	+	0.797022i	$0.706407\pi$
$992$	3.88754	−	2.33905i	0.123429	−	0.0742651i
$993$	2.62147	−	15.9902i	0.0831897	−	0.507435i
$994$	−2.45652	−	3.62310i	−0.0779162	−	0.114918i
$995$	−25.0575	−	62.8896i	−0.794376	−	1.99373i
$996$	−0.828009	−	0.974808i	−0.0262365	−	0.0308880i
$997$	−5.45146	−	33.2525i	−0.172650	−	1.05312i	−0.920928	−	0.389732i	$-0.872568\pi$
$997$	−5.45146	−	33.2525i	−0.172650	−	1.05312i	0.748279	−	0.663384i	$-0.230881\pi$
$998$	−1.27291	+	1.20576i	−0.0402932	+	0.0381677i
$999$	−2.28474	+	8.22889i	−0.0722860	+	0.260351i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	354.2.e.d.85.3	yes	84
59.25	even	29	inner	354.2.e.d.25.3	✓	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
354.2.e.d.25.3	✓	84	59.25	even	29	inner
354.2.e.d.85.3	yes	84	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 354 = 2 \cdot 3 \cdot 59 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	354.e (of order \(29\), degree \(28\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.796093 + 0.605174i) q^{2} +(0.468408 - 0.883512i) q^{3} +(0.267528 - 0.963550i) q^{4} +(2.10011 - 1.98933i) q^{5} +(0.161782 + 0.986827i) q^{6} +(-0.956124 - 1.12564i) q^{7} +(0.370138 + 0.928977i) q^{8} +(-0.561187 - 0.827689i) q^{9} +O(q^{10})\)	\(q+(-0.796093 + 0.605174i) q^{2} +(0.468408 - 0.883512i) q^{3} +(0.267528 - 0.963550i) q^{4} +(2.10011 - 1.98933i) q^{5} +(0.161782 + 0.986827i) q^{6} +(-0.956124 - 1.12564i) q^{7} +(0.370138 + 0.928977i) q^{8} +(-0.561187 - 0.827689i) q^{9} +(-0.467991 + 2.85462i) q^{10} +(-0.696488 + 0.419063i) q^{11} +(-0.725995 - 0.687699i) q^{12} +(2.18852 - 3.22782i) q^{13} +(1.44237 + 0.317490i) q^{14} +(-0.773887 - 2.78729i) q^{15} +(-0.856857 - 0.515554i) q^{16} +(-2.34306 + 2.75846i) q^{17} +(0.947653 + 0.319302i) q^{18} +(-5.92257 - 2.74007i) q^{19} +(-1.35498 - 2.55576i) q^{20} +(-1.44237 + 0.317490i) q^{21} +(0.300863 - 0.755110i) q^{22} +(2.51548 - 0.847563i) q^{23} +(0.994138 + 0.108119i) q^{24} +(0.182333 - 3.36294i) q^{25} +(0.211131 + 3.89408i) q^{26} +(-0.994138 + 0.108119i) q^{27} +(-1.34040 + 0.620134i) q^{28} +(3.09017 + 2.34908i) q^{29} +(2.30288 + 1.75060i) q^{30} +(4.11765 - 1.90503i) q^{31} +(0.994138 - 0.108119i) q^{32} +(0.0440063 + 0.811648i) q^{33} +(0.195943 - 3.61395i) q^{34} +(-4.24722 - 0.461913i) q^{35} +(-0.947653 + 0.319302i) q^{36} +(3.16105 - 7.93363i) q^{37} +(6.37313 - 1.40283i) q^{38} +(-1.82670 - 3.44552i) q^{39} +(2.62537 + 1.21463i) q^{40} +(10.4927 + 3.53540i) q^{41} +(0.956124 - 1.12564i) q^{42} +(-1.54176 - 0.927644i) q^{43} +(0.217458 + 0.783212i) q^{44} +(-2.82510 - 0.621851i) q^{45} +(-1.48963 + 2.19704i) q^{46} +(3.47748 + 3.29405i) q^{47} +(-0.856857 + 0.515554i) q^{48} +(0.779590 - 4.75529i) q^{49} +(1.89001 + 2.78756i) q^{50} +(1.33963 + 3.36221i) q^{51} +(-2.52467 - 2.97228i) q^{52} +(1.45220 + 8.85801i) q^{53} +(0.725995 - 0.687699i) q^{54} +(-0.629047 + 2.26562i) q^{55} +(0.691792 - 1.30486i) q^{56} +(-5.19507 + 3.94919i) q^{57} -3.88166 q^{58} +(-7.48650 + 1.71824i) q^{59} -2.89273 q^{60} +(-6.21525 + 4.72471i) q^{61} +(-2.12516 + 4.00847i) q^{62} +(-0.395112 + 1.42307i) q^{63} +(-0.725995 + 0.687699i) q^{64} +(-1.82507 - 11.1324i) q^{65} +(-0.526222 - 0.619516i) q^{66} +(4.54824 + 11.4152i) q^{67} +(2.03108 + 2.99562i) q^{68} +(0.429439 - 2.61946i) q^{69} +(3.66072 - 2.20258i) q^{70} +(-2.15177 - 2.03827i) q^{71} +(0.561187 - 0.827689i) q^{72} +(2.59857 + 0.571988i) q^{73} +(2.28474 + 8.22889i) q^{74} +(-2.88579 - 1.73632i) q^{75} +(-4.22465 + 4.97364i) q^{76} +(1.13764 + 0.383316i) q^{77} +(3.53936 + 1.63748i) q^{78} +(0.107592 + 0.202940i) q^{79} +(-2.82510 + 0.621851i) q^{80} +(-0.370138 + 0.928977i) q^{81} +(-10.4927 + 3.53540i) q^{82} +(1.27151 + 0.138285i) q^{83} +(-0.0799577 + 1.47473i) q^{84} +(0.566809 + 10.4542i) q^{85} +(1.78877 - 0.194540i) q^{86} +(3.52290 - 1.62987i) q^{87} +(-0.647097 - 0.491910i) q^{88} +(-6.09370 - 4.63231i) q^{89} +(2.62537 - 1.21463i) q^{90} +(-5.72584 + 0.622723i) q^{91} +(-0.143708 - 2.65053i) q^{92} +(0.245627 - 4.53032i) q^{93} +(-4.76187 - 0.517885i) q^{94} +(-17.8889 + 6.02748i) q^{95} +(0.370138 - 0.928977i) q^{96} +(8.42688 - 1.85490i) q^{97} +(2.25715 + 4.25744i) q^{98} +(0.737714 + 0.341303i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 2 q^{5} + 3 q^{6} - 7 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) \) 84 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 2 * q^5 + 3 * q^6 - 7 * q^7 + 3 * q^8 - 3 * q^9	\( 84 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 2 q^{5} + 3 q^{6} - 7 q^{7} + 3 q^{8} - 3 q^{9} + 2 q^{10} + 30 q^{11} - 3 q^{12} - 3 q^{13} + 7 q^{14} - 2 q^{15} - 3 q^{16} + 3 q^{17} + 3 q^{18} - 4 q^{19} - 2 q^{20} - 7 q^{21} - q^{22} + 2 q^{23} + 3 q^{24} - 67 q^{25} + 32 q^{26} - 3 q^{27} - 7 q^{28} + 4 q^{29} + 2 q^{30} - 6 q^{31} + 3 q^{32} + q^{33} + 26 q^{34} + 79 q^{35} - 3 q^{36} + 55 q^{37} + 4 q^{38} - 3 q^{39} + 2 q^{40} + q^{41} + 7 q^{42} + 51 q^{43} + q^{44} - 2 q^{45} - 31 q^{46} - 62 q^{47} - 3 q^{48} - 70 q^{49} + 9 q^{50} + 3 q^{51} - 32 q^{52} - 27 q^{53} + 3 q^{54} - 83 q^{55} + 7 q^{56} - 4 q^{57} - 120 q^{58} - 55 q^{59} + 56 q^{60} - 46 q^{61} - 23 q^{62} - 7 q^{63} - 3 q^{64} - 121 q^{65} - q^{66} + 8 q^{67} - 26 q^{68} - 27 q^{69} - 50 q^{70} - 61 q^{71} + 3 q^{72} + 49 q^{73} - 26 q^{74} - 9 q^{75} + 25 q^{76} + 77 q^{77} + 3 q^{78} - 5 q^{79} - 2 q^{80} - 3 q^{81} - q^{82} + 75 q^{83} - 7 q^{84} + 189 q^{85} + 65 q^{86} - 25 q^{87} - 30 q^{88} + 54 q^{89} + 2 q^{90} - 161 q^{91} + 2 q^{92} + 23 q^{93} + 33 q^{94} - 54 q^{95} + 3 q^{96} + 28 q^{97} + 12 q^{98} + q^{99}+O(q^{100}) \) 84 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 2 * q^5 + 3 * q^6 - 7 * q^7 + 3 * q^8 - 3 * q^9 + 2 * q^10 + 30 * q^11 - 3 * q^12 - 3 * q^13 + 7 * q^14 - 2 * q^15 - 3 * q^16 + 3 * q^17 + 3 * q^18 - 4 * q^19 - 2 * q^20 - 7 * q^21 - q^22 + 2 * q^23 + 3 * q^24 - 67 * q^25 + 32 * q^26 - 3 * q^27 - 7 * q^28 + 4 * q^29 + 2 * q^30 - 6 * q^31 + 3 * q^32 + q^33 + 26 * q^34 + 79 * q^35 - 3 * q^36 + 55 * q^37 + 4 * q^38 - 3 * q^39 + 2 * q^40 + q^41 + 7 * q^42 + 51 * q^43 + q^44 - 2 * q^45 - 31 * q^46 - 62 * q^47 - 3 * q^48 - 70 * q^49 + 9 * q^50 + 3 * q^51 - 32 * q^52 - 27 * q^53 + 3 * q^54 - 83 * q^55 + 7 * q^56 - 4 * q^57 - 120 * q^58 - 55 * q^59 + 56 * q^60 - 46 * q^61 - 23 * q^62 - 7 * q^63 - 3 * q^64 - 121 * q^65 - q^66 + 8 * q^67 - 26 * q^68 - 27 * q^69 - 50 * q^70 - 61 * q^71 + 3 * q^72 + 49 * q^73 - 26 * q^74 - 9 * q^75 + 25 * q^76 + 77 * q^77 + 3 * q^78 - 5 * q^79 - 2 * q^80 - 3 * q^81 - q^82 + 75 * q^83 - 7 * q^84 + 189 * q^85 + 65 * q^86 - 25 * q^87 - 30 * q^88 + 54 * q^89 + 2 * q^90 - 161 * q^91 + 2 * q^92 + 23 * q^93 + 33 * q^94 - 54 * q^95 + 3 * q^96 + 28 * q^97 + 12 * q^98 + q^99

Introduction

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