LMFDB - Embedded newform 354.2.e.d.25.3

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			25.3
Character	$\chi$	$=$	354.25
Dual form			354.2.e.d.85.3

$q$-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 $\left(\mathbb{Z}/354\mathbb{Z}\right)^\times$.

$n$	$61$	$119$
$\chi(n)$	$e\left(\frac{6}{29}\right)$	$1$

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	0.994059	−	0.108839i	$-0.0347134\pi$
$5$	2.10011	+	1.98933i	0.939197	+	0.889654i	−0.0548625	+	0.998494i	$0.517472\pi$
$6$	0.161782	−	0.986827i	0.0660472	−	0.402870i
$7$	−0.956124	+	1.12564i	−0.361381	+	0.425450i	−0.912564	−	0.408934i	$-0.865901\pi$
$7$	−0.956124	+	1.12564i	−0.361381	+	0.425450i	0.551183	+	0.834384i	$0.314177\pi$
$8$	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	0.406669	−	0.913576i	$-0.366690\pi$
$11$	−0.696488	−	0.419063i	−0.209999	−	0.126352i	−0.616668	+	0.787223i	$0.711518\pi$
$12$	−0.725995	+	0.687699i	−0.209577	+	0.198522i
$13$	2.18852	+	3.22782i	0.606985	+	0.895236i	0.999702	−	0.0244237i	$-0.00777508\pi$
$13$	2.18852	+	3.22782i	0.606985	+	0.895236i	−0.392717	+	0.919659i	$0.628465\pi$
$14$	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	0.400693	−	0.916213i	$-0.368770\pi$
$17$	−2.34306	−	2.75846i	−0.568275	−	0.669025i	−0.968968	+	0.247187i	$0.920494\pi$
$18$	0.947653	−	0.319302i	0.223364	−	0.0752601i
$19$	−5.92257	+	2.74007i	−1.35873	+	0.628615i	−0.957785	−	0.287487i	$-0.907180\pi$
$19$	−5.92257	+	2.74007i	−1.35873	+	0.628615i	−0.400945	+	0.916102i	$0.631318\pi$
$20$	−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	0.569087	−	0.822277i	$-0.307297\pi$
$23$	2.51548	+	0.847563i	0.524513	+	0.176729i	−0.0445743	+	0.999006i	$0.514193\pi$
$24$	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	−0.277590	−	0.960700i	$-0.589536\pi$
$29$	3.09017	−	2.34908i	0.573829	−	0.436214i	0.851419	+	0.524486i	$0.175742\pi$
$30$	2.30288	−	1.75060i	0.420447	−	0.319615i
$31$	4.11765	+	1.90503i	0.739551	+	0.342153i	0.753233	−	0.657754i	$-0.228493\pi$
$31$	4.11765	+	1.90503i	0.739551	+	0.342153i	−0.0136821	+	0.999906i	$0.504355\pi$
$32$	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	0.921434	+	0.388536i	$0.127019\pi$
$37$	3.16105	+	7.93363i	0.519673	+	1.30428i	−0.401761	+	0.915745i	$0.631602\pi$
$38$	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	0.658907	−	0.752224i	$-0.271019\pi$
$41$	10.4927	−	3.53540i	1.63869	−	0.552137i	0.979778	+	0.200087i	$0.0641224\pi$
$42$	0.956124	+	1.12564i	0.147533	+	0.173689i
$43$	−1.54176	+	0.927644i	−0.235116	+	0.141464i	−0.628237	−	0.778022i	$-0.716223\pi$
$43$	−1.54176	+	0.927644i	−0.235116	+	0.141464i	0.393121	+	0.919487i	$0.371395\pi$
$44$	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	−0.390749	−	0.920497i	$-0.627784\pi$
$47$	3.47748	−	3.29405i	0.507243	−	0.480486i	0.897992	+	0.440011i	$0.145025\pi$
$48$	−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	−0.677252	−	0.735752i	$-0.736829\pi$
$53$	1.45220	−	8.85801i	0.199475	−	1.21674i	0.876726	−	0.480990i	$-0.159723\pi$
$54$	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	0.126274	−	0.991995i	$-0.459698\pi$
$61$	−6.21525	−	4.72471i	−0.795781	−	0.604937i	−0.922055	+	0.387058i	$0.873491\pi$
$62$	−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	−0.335994	−	0.941864i	$-0.609072\pi$
$67$	4.54824	−	11.4152i	0.555656	−	1.39459i	0.891649	−	0.452727i	$-0.149549\pi$
$68$	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	−0.804664	−	0.593730i	$-0.797655\pi$
$71$	−2.15177	+	2.03827i	−0.255368	+	0.241898i	0.549296	+	0.835628i	$0.314896\pi$
$72$	0.561187	+	0.827689i	0.0661365	+	0.0975441i
$73$	2.59857	−	0.571988i	0.304139	−	0.0669461i	−0.0602788	−	0.998182i	$-0.519199\pi$
$73$	2.59857	−	0.571988i	0.304139	−	0.0669461i	0.364418	+	0.931235i	$0.381268\pi$
$74$	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	−0.877386	−	0.479786i	$-0.840714\pi$
$79$	0.107592	−	0.202940i	0.0121051	−	0.0228326i	0.889491	+	0.456953i	$0.151059\pi$
$80$	−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	−0.0380694	−	0.999275i	$-0.512121\pi$
$83$	1.27151	−	0.138285i	0.139566	−	0.0151787i	0.177635	+	0.984096i	$0.443155\pi$
$84$	−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	−0.876102	−	0.482126i	$-0.839865\pi$
$89$	−6.09370	+	4.63231i	−0.645931	+	0.491024i	0.230171	+	0.973150i	$0.426072\pi$
$90$	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	0.621058	−	0.783765i	$-0.286703\pi$
$97$	8.42688	+	1.85490i	0.855620	+	0.188336i	0.234563	+	0.972101i	$0.424634\pi$
$98$	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	0.661554	−	0.749898i	$-0.269897\pi$
$101$	−1.86418	−	2.19468i	−0.185493	−	0.218379i	−0.847047	+	0.531519i	$0.821622\pi$
$102$	−3.10119	+	1.86592i	−0.307063	+	0.184754i
$103$	3.83478	−	13.8116i	0.377852	−	1.36090i	−0.493288	−	0.869866i	$-0.664205\pi$
$103$	3.83478	−	13.8116i	0.377852	−	1.36090i	0.871140	−	0.491034i	$-0.163381\pi$
$104$	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	−0.350470	−	0.936574i	$-0.613978\pi$
$107$	−13.8829	−	8.35305i	−1.34211	−	0.807520i	−0.991638	+	0.129054i	$0.958806\pi$
$108$	−0.161782	−	0.986827i	−0.0155675	−	0.0949574i
$109$	3.25602	−	4.80227i	0.311870	−	0.459974i	−0.639159	−	0.769074i	$-0.720718\pi$
$109$	3.25602	−	4.80227i	0.311870	−	0.459974i	0.951029	+	0.309100i	$0.100028\pi$
$110$	−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	0.996234	−	0.0867056i	$-0.0276339\pi$
$113$	10.2431	+	9.70279i	0.963591	+	0.912761i	−0.0326434	+	0.999467i	$0.510393\pi$
$114$	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	−0.484532	−	0.874774i	$-0.661010\pi$
$127$	5.71874	−	8.43451i	0.507456	−	0.748442i	0.991988	+	0.126332i	$0.0403204\pi$
$128$	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	0.983019	−	0.183502i	$-0.0587433\pi$
$131$	5.13558	+	7.57441i	0.448697	+	0.661779i	−0.534322	+	0.845281i	$0.679433\pi$
$132$	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	0.289104	−	0.957298i	$-0.406643\pi$
$137$	14.1145	−	6.53006i	1.20588	−	0.557900i	0.916778	+	0.399397i	$0.130781\pi$
$138$	1.24336	−	2.34522i	0.105842	−	0.199638i
$139$	−7.89083	−	1.73690i	−0.669291	−	0.147322i	−0.132689	−	0.991158i	$-0.542361\pi$
$139$	−7.89083	−	1.73690i	−0.669291	−	0.147322i	−0.536602	+	0.843836i	$0.680292\pi$
$140$	−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	0.143839	−	0.989601i	$-0.454055\pi$
$149$	−6.31419	−	2.92126i	−0.517279	−	0.239319i	−0.661117	+	0.750282i	$0.729917\pi$
$150$	3.34814	+	0.364132i	0.273374	+	0.0297312i
$151$	−0.0876889	+	1.61733i	−0.00713602	+	0.131616i	0.992795	+	0.119829i	$0.0382347\pi$
$151$	−0.0876889	+	1.61733i	−0.00713602	+	0.131616i	−0.999931	+	0.0117869i	$0.996248\pi$
$152$	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	0.151622	+	0.988439i	$0.451550\pi$
$157$	−9.41734	+	17.7630i	−0.751586	+	1.41764i	−0.903208	+	0.429203i	$0.858795\pi$
$158$	−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	−0.0495936	−	0.998769i	$-0.515793\pi$
$163$	4.14637	−	0.912686i	0.324769	−	0.0714870i	0.374363	+	0.927282i	$0.377862\pi$
$164$	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	0.995251	+	0.0973419i	$0.0310340\pi$
$167$	1.07492	+	6.55671i	0.0831796	+	0.507373i	−0.912071	+	0.410032i	$0.865518\pi$
$168$	−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	0.901758	−	0.432242i	$-0.142277\pi$
$173$	−1.23327	−	4.44185i	−0.0937640	−	0.337707i	−0.995522	+	0.0945348i	$0.969864\pi$
$174$	−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	0.881511	−	0.472163i	$-0.156527\pi$
$179$	8.86214	+	6.73682i	0.662387	+	0.503534i	−0.219124	+	0.975697i	$0.570320\pi$
$180$	−1.35498	−	2.55576i	−0.100994	−	0.190495i
$181$	1.82132	+	6.55980i	0.135378	+	0.487586i	0.999887	−	0.0150307i	$-0.00478460\pi$
$181$	1.82132	+	6.55980i	0.135378	+	0.487586i	−0.864510	+	0.502616i	$0.832371\pi$
$182$	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	−0.529826	−	0.848106i	$-0.677743\pi$
$191$	−9.04638	+	1.99126i	−0.654573	+	0.144082i	−0.124747	+	0.992189i	$0.539812\pi$
$192$	0.267528	−	0.963550i	0.0193072	−	0.0695382i
$193$	19.9176	−	11.9840i	1.43370	−	0.862631i	0.434429	−	0.900706i	$-0.356950\pi$
$193$	19.9176	−	11.9840i	1.43370	−	0.862631i	0.999275	+	0.0380756i	$0.0121228\pi$
$194$	−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	−0.617646	−	0.786456i	$-0.711914\pi$
$197$	5.33229	−	10.0578i	0.379910	−	0.716586i	0.997556	+	0.0698699i	$0.0222584\pi$
$198$	−0.793837	−	0.174737i	−0.0564155	−	0.0124180i
$199$	8.66223	+	21.7406i	0.614049	+	1.54115i	0.825883	+	0.563842i	$0.190677\pi$
$199$	8.66223	+	21.7406i	0.614049	+	1.54115i	−0.211833	+	0.977306i	$0.567943\pi$
$200$	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	0.999645	−	0.0266484i	$-0.00848345\pi$
$211$	0.0432690	+	0.798051i	0.00297876	+	0.0549401i	−0.996666	+	0.0815885i	$0.974001\pi$
$212$	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	−0.855355	−	0.518043i	$-0.826661\pi$
$223$	−15.2319	−	22.4654i	−1.02000	−	1.50439i	−0.164650	−	0.986352i	$-0.552649\pi$
$224$	−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	0.293340	+	0.956008i	$0.405233\pi$
$227$	−10.5970	+	15.6294i	−0.703346	+	1.03736i	−0.996686	+	0.0813494i	$0.974077\pi$
$228$	2.41541	−	6.06222i	0.159965	−	0.401481i
$229$	−17.3204	+	20.3912i	−1.14457	+	1.34749i	−0.215968	+	0.976400i	$0.569291\pi$
$229$	−17.3204	+	20.3912i	−1.14457	+	1.34749i	−0.928598	+	0.371087i	$0.878985\pi$
$230$	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	−0.995796	−	0.0916030i	$-0.970801\pi$
$233$	−7.82735	−	14.7640i	−0.512787	−	0.967219i	0.483009	−	0.875616i	$-0.339544\pi$
$234$	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	0.794916	−	0.606720i	$-0.207515\pi$
$239$	−2.37083	−	4.47186i	−0.153356	−	0.289260i	−0.948272	+	0.317460i	$0.897170\pi$
$240$	−0.773887	−	2.78729i	−0.0499542	−	0.179919i
$241$	15.3824	+	14.5710i	0.990869	+	0.938601i	0.998115	−	0.0613730i	$-0.0195479\pi$
$241$	15.3824	+	14.5710i	0.990869	+	0.938601i	−0.00724615	+	0.999974i	$0.502307\pi$
$242$	−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	−0.735394	−	0.677640i	$-0.763003\pi$
$251$	3.86717	−	13.9283i	0.244094	−	0.879146i	0.979487	−	0.201506i	$-0.0645835\pi$
$252$	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	−0.0358183	−	0.999358i	$-0.511404\pi$
$257$	−7.82237	−	1.72183i	−0.487946	−	0.107405i	−0.452128	+	0.891953i	$0.649335\pi$
$258$	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	0.519226	−	0.854637i	$-0.326220\pi$
$263$	13.6645	+	1.48611i	0.842591	+	0.0916373i	0.323365	+	0.946274i	$0.395186\pi$
$264$	−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	−0.998928	−	0.0462917i	$-0.985260\pi$
$269$	−0.0139533	+	0.257353i	−0.000850747	+	0.0156911i	0.998077	+	0.0619828i	$0.0197424\pi$
$270$	0.156609	+	2.88849i	0.00953093	+	0.175788i
$271$	−31.7981	+	3.45826i	−1.93160	+	0.210074i	−0.991431	−	0.130634i	$-0.958299\pi$
$271$	−31.7981	+	3.45826i	−1.93160	+	0.210074i	−0.940169	+	0.340708i	$0.889333\pi$
$272$	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	−0.382872	−	0.923801i	$-0.625065\pi$
$277$	−2.14055	+	0.721237i	−0.128613	+	0.0433349i	0.254259	+	0.967136i	$0.418168\pi$
$278$	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	−0.802502	−	0.596650i	$-0.796498\pi$
$281$	−21.4618	+	4.72411i	−1.28031	+	0.281817i	−0.477804	+	0.878466i	$0.658567\pi$
$282$	−2.68806	−	3.96459i	−0.160072	−	0.236088i
$283$	9.11490	−	8.63409i	0.541825	−	0.513243i	−0.367113	−	0.930176i	$-0.619654\pi$
$283$	9.11490	−	8.63409i	0.541825	−	0.513243i	0.908937	+	0.416933i	$0.136895\pi$
$284$	−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	0.403208	−	0.915109i	$-0.367895\pi$
$293$	−6.34495	−	4.82330i	−0.370676	−	0.281780i	−0.773883	+	0.633328i	$0.781688\pi$
$294$	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	−0.943697	−	0.330810i	$-0.892678\pi$
$307$	−11.6423	+	11.0282i	−0.664463	+	0.629413i	0.279234	+	0.960223i	$0.409919\pi$
$308$	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	−0.856384	−	0.516340i	$-0.827294\pi$
$311$	−14.1316	+	8.50269i	−0.801329	+	0.482144i	0.0550550	+	0.998483i	$0.482467\pi$
$312$	2.52467	+	2.97228i	0.142932	+	0.168272i
$313$	−2.93699	+	0.989585i	−0.166008	+	0.0559347i	−0.401078	−	0.916044i	$-0.631365\pi$
$313$	−2.93699	+	0.989585i	−0.166008	+	0.0559347i	0.235070	+	0.971978i	$0.424468\pi$
$314$	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	0.862014	−	0.506884i	$-0.169203\pi$
$317$	−2.00102	−	5.02218i	−0.112388	−	0.282074i	−0.974402	+	0.224811i	$0.927824\pi$
$318$	−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	0.707901	−	0.706312i	$-0.249642\pi$
$331$	15.3555	+	5.17386i	0.844014	+	0.284381i	0.136113	+	0.990693i	$0.456539\pi$
$332$	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	0.675176	−	0.737657i	$-0.264068\pi$
$337$	−2.97382	−	3.50105i	−0.161994	−	0.190714i	−0.837170	+	0.546942i	$0.815792\pi$
$338$	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	−0.433111	+	0.901341i	$0.642584\pi$
$347$	−23.3316	+	27.4681i	−1.25251	+	1.47457i	−0.819397	+	0.573226i	$0.805692\pi$
$348$	−0.627983	+	3.83053i	−0.0336634	+	0.205338i
$349$	2.97946	+	2.82229i	0.159487	+	0.151074i	0.763282	−	0.646066i	$-0.223587\pi$
$349$	2.97946	+	2.82229i	0.159487	+	0.151074i	−0.603795	+	0.797140i	$0.706345\pi$
$350$	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	0.341537	−	0.939868i	$-0.389053\pi$
$359$	−10.9603	−	10.3821i	−0.578462	−	0.547949i	−0.919999	+	0.391920i	$0.871811\pi$
$360$	−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	0.999780	−	0.0209539i	$-0.00667033\pi$
$367$	11.6909	+	17.2427i	0.610258	+	0.900063i	−0.389523	+	0.921017i	$0.627360\pi$
$368$	−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	−0.660528	−	0.750802i	$-0.729667\pi$
$373$	−9.96391	+	4.60980i	−0.515912	+	0.238686i	0.144616	+	0.989488i	$0.453805\pi$
$374$	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	0.921307	+	0.388835i	$0.127122\pi$
$379$	0.923582	+	17.0345i	0.0474412	+	0.875002i	−0.873866	+	0.486167i	$0.838395\pi$
$380$	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	0.154041	−	0.988064i	$-0.450771\pi$
$383$	22.4531	−	17.0684i	1.14730	−	0.872155i	0.993260	+	0.115909i	$0.0369781\pi$
$384$	−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	−0.837955	−	0.545739i	$-0.816249\pi$
$389$	−30.3538	+	3.30118i	−1.53900	+	0.167376i	−0.701046	+	0.713116i	$0.747283\pi$
$390$	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	0.223104	−	0.974795i	$-0.428381\pi$
$397$	23.6877	−	14.2524i	1.18885	−	0.715308i	0.965747	+	0.259487i	$0.0835533\pi$
$398$	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	−0.137253	+	0.990536i	$0.543827\pi$
$401$	−22.7037	+	21.5060i	−1.13377	+	1.07396i	−0.996514	+	0.0834247i	$0.973414\pi$
$402$	−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	−0.943697	−	0.330811i	$-0.892678\pi$
$409$	−6.18107	−	22.2622i	−0.305634	−	1.10080i	0.638063	−	0.769984i	$-0.279736\pi$
$410$	−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	−0.897027	−	0.441976i	$-0.854278\pi$
$419$	1.92755	−	11.7575i	0.0941671	−	0.574394i	0.991194	−	0.132418i	$-0.0422741\pi$
$420$	2.76581	−	3.25616i	0.134958	−	0.158884i
$421$	−11.1990	+	28.1073i	−0.545805	+	1.36987i	0.354684	+	0.934986i	$0.384588\pi$
$421$	−11.1990	+	28.1073i	−0.545805	+	1.36987i	−0.900488	+	0.434880i	$0.856791\pi$
$422$	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	0.189595	−	0.981862i	$-0.439283\pi$
$431$	19.4055	−	6.53846i	0.934728	−	0.314946i	0.745133	+	0.666916i	$0.232386\pi$
$432$	0.907575	−	0.419889i	0.0436657	−	0.0202019i
$433$	−17.0568	+	32.1725i	−0.819695	+	1.54611i	0.0179140	+	0.999840i	$0.494297\pi$
$433$	−17.0568	+	32.1725i	−0.819695	+	1.54611i	−0.837609	+	0.546270i	$0.816047\pi$
$434$	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	0.827278	+	0.561792i	$0.189888\pi$
$439$	−1.17104	+	21.5986i	−0.0558909	+	1.03085i	−0.883169	+	0.469054i	$0.844595\pi$
$440$	−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	−0.333631	+	0.942704i	$0.608274\pi$
$443$	−28.0191	+	21.2996i	−1.33123	+	1.01197i	−0.997598	+	0.0692704i	$0.977933\pi$
$444$	−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	−0.711773	−	0.702410i	$-0.752107\pi$
$449$	−36.0963	−	12.1623i	−1.70349	−	0.573973i	−0.991718	+	0.128437i	$0.959004\pi$
$450$	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	0.550772	+	0.834656i	$0.314333\pi$
$457$	−7.51359	+	27.0615i	−0.351471	+	1.26588i	−0.902243	+	0.431228i	$0.858080\pi$
$458$	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	0.410053	−	0.912062i	$-0.365510\pi$
$461$	−4.37346	−	2.63142i	−0.203692	−	0.122558i	−0.613745	+	0.789504i	$0.710338\pi$
$462$	−0.194217	−	1.18467i	−0.00903577	−	0.0551158i
$463$	18.4005	−	27.1388i	0.855146	−	1.26125i	−0.108509	−	0.994095i	$-0.534608\pi$
$463$	18.4005	−	27.1388i	0.855146	−	1.26125i	0.963655	−	0.267150i	$-0.0860819\pi$
$464$	−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	0.957425	−	0.288683i	$-0.0932175\pi$
$467$	15.5809	+	14.7590i	0.720998	+	0.682966i	−0.236426	+	0.971649i	$0.575976\pi$
$468$	−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	−0.462230	−	0.886760i	$-0.652951\pi$
$479$	10.6723	−	12.5644i	0.487628	−	0.574081i	0.949859	+	0.312679i	$0.101227\pi$
$480$	−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	−0.686347	−	0.727274i	$-0.740787\pi$
$487$	6.10631	−	21.9929i	0.276703	−	0.996595i	0.963050	−	0.269321i	$-0.0867993\pi$
$488$	−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	0.384539	−	0.923109i	$-0.374360\pi$
$491$	29.6269	−	13.7069i	1.33704	−	0.618582i	0.952504	+	0.304526i	$0.0984982\pi$
$492$	−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	0.147051	−	0.989129i	$-0.453022\pi$
$499$	1.74305	+	0.189568i	0.0780296	+	0.00848623i	−0.0690209	+	0.997615i	$0.521988\pi$
$500$	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	0.939616	−	0.342231i	$-0.111183\pi$
$503$	28.8661	+	13.3549i	1.28707	+	0.595464i	0.347459	+	0.937695i	$0.387045\pi$
$504$	−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	−0.942531	−	0.334118i	$-0.891561\pi$
$509$	−11.0105	−	27.6342i	−0.488031	−	1.22486i	0.454500	−	0.890747i	$-0.349818\pi$
$510$	−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	0.622151	+	0.782897i	$0.286259\pi$
$521$	6.44928	+	39.3388i	0.282548	+	1.72347i	−0.339603	+	0.940569i	$0.610293\pi$
$522$	2.17834	−	3.21281i	0.0953433	−	0.140621i
$523$	−2.72410	+	6.83698i	−0.119117	+	0.298960i	−0.976430	−	0.215835i	$-0.930753\pi$
$523$	−2.72410	+	6.83698i	−0.119117	+	0.298960i	0.857313	+	0.514795i	$0.172132\pi$
$524$	−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	0.997042	−	0.0768599i	$-0.0244894\pi$
$541$	0.643135	+	3.92295i	0.0276505	+	0.168661i	−0.969391	+	0.245521i	$0.921041\pi$
$542$	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	−0.814003	−	0.580861i	$-0.802716\pi$
$547$	−15.9528	+	9.59847i	−0.682092	+	0.410401i	0.131911	+	0.991262i	$0.457889\pi$
$548$	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	−0.563894	−	0.825847i	$-0.690698\pi$
$557$	2.02930	−	37.4282i	0.0859842	−	1.58588i	0.649879	−	0.760038i	$-0.274820\pi$
$558$	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	0.635011	−	0.772503i	$-0.280996\pi$
$563$	25.8420	+	2.81049i	1.08911	+	0.118448i	0.454099	+	0.890951i	$0.349961\pi$
$564$	−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	−0.613048	−	0.790046i	$-0.710057\pi$
$569$	−35.8084	−	7.88203i	−1.50117	−	0.330432i	−0.888119	+	0.459614i	$0.847988\pi$
$570$	−8.84219	+	16.6781i	−0.370358	+	0.698570i
$571$	34.1822	−	15.8144i	1.43048	−	0.661811i	0.456767	−	0.889587i	$-0.349007\pi$
$571$	34.1822	−	15.8144i	1.43048	−	0.661811i	0.973714	+	0.227776i	$0.0731454\pi$
$572$	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	0.670378	−	0.742020i	$-0.266132\pi$
$577$	−6.41534	−	9.46192i	−0.267074	−	0.393905i	−0.937452	+	0.348115i	$0.886822\pi$
$578$	−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	0.969092	−	0.246699i	$-0.0793458\pi$
$587$	5.35587	+	10.1022i	0.221060	+	0.416964i	−0.748032	+	0.663663i	$0.769001\pi$
$588$	−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	0.705768	−	0.708443i	$-0.250602\pi$
$593$	−6.73737	−	12.7080i	−0.276671	−	0.521856i	−0.982438	+	0.186587i	$0.940257\pi$
$594$	−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	−0.924841	−	0.380353i	$-0.875803\pi$
$599$	−5.60914	+	8.27287i	−0.229183	+	0.338020i	0.695658	+	0.718373i	$0.255113\pi$
$600$	0.544862	+	3.32351i	0.0222439	+	0.135682i
$601$	−24.9875	−	15.0345i	−1.01926	−	0.613268i	−0.0951766	−	0.995460i	$-0.530342\pi$
$601$	−24.9875	−	15.0345i	−1.01926	−	0.613268i	−0.924083	+	0.382192i	$0.875169\pi$
$602$	−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	0.323918	−	0.946085i	$-0.395000\pi$
$607$	−16.3126	−	19.2047i	−0.662108	−	0.779493i	−0.986026	+	0.166592i	$0.946724\pi$
$608$	−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	0.194042	−	0.980993i	$-0.437840\pi$
$613$	−6.06973	−	2.04513i	−0.245154	−	0.0826020i	−0.439196	+	0.898391i	$0.644737\pi$
$614$	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	−0.137729	−	0.990470i	$-0.543980\pi$
$617$	−12.0511	−	1.31064i	−0.485161	−	0.0527644i	−0.347431	+	0.937706i	$0.612946\pi$
$618$	−13.0093	−	6.01874i	−0.523310	−	0.242109i
$619$	18.7713	−	14.2696i	0.754481	−	0.573542i	−0.155674	−	0.987808i	$-0.549755\pi$
$619$	18.7713	−	14.2696i	0.754481	−	0.573542i	0.910156	+	0.414267i	$0.135962\pi$
$620$	−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	0.0151272	−	0.999886i	$-0.495185\pi$
$631$	15.8826	−	5.35146i	0.632275	−	0.213038i	0.617148	+	0.786847i	$0.288288\pi$
$632$	−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	0.355006	+	0.934864i	$0.384479\pi$
$641$	−13.8143	+	34.6713i	−0.545632	+	1.36943i	−0.900638	+	0.434570i	$0.856900\pi$
$642$	−10.4890	+	12.3486i	−0.413968	+	0.487361i
$643$	0.128344	−	0.782865i	0.00506140	−	0.0308732i	−0.984175	−	0.177199i	$-0.943296\pi$
$643$	0.128344	−	0.782865i	0.00506140	−	0.0308732i	0.989236	+	0.146326i	$0.0467447\pi$
$644$	−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	−0.999729	−	0.0232596i	$-0.992596\pi$
$647$	−32.8024	−	24.9358i	−1.28960	−	0.980326i	−0.289868	−	0.957067i	$-0.593611\pi$
$648$	−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	0.986077	+	0.166287i	$0.0531779\pi$
$653$	5.79766	+	20.8813i	0.226880	+	0.817148i	−0.759197	+	0.650860i	$0.774408\pi$
$654$	−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	−0.969955	−	0.243285i	$-0.921775\pi$
$659$	−3.29757	−	20.1143i	−0.128455	−	0.783543i	0.841500	−	0.540258i	$-0.181673\pi$
$660$	2.01475	+	1.21224i	0.0784241	+	0.0471862i
$661$	−25.3641	+	24.0262i	−0.986551	+	0.934511i	−0.997857	−	0.0654253i	$-0.979160\pi$
$661$	−25.3641	+	24.0262i	−0.986551	+	0.934511i	0.0113065	+	0.999936i	$0.496401\pi$
$662$	−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	0.779306	−	0.626643i	$-0.215572\pi$
$673$	43.4559	−	4.72612i	1.67510	−	0.182178i	0.895796	+	0.444465i	$0.146606\pi$
$674$	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	−0.327327	−	0.944911i	$-0.606148\pi$
$677$	−32.7689	−	15.1605i	−1.25941	−	0.582665i	−0.932082	+	0.362246i	$0.882010\pi$
$678$	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	−0.987035	−	0.160508i	$-0.948687\pi$
$683$	−0.604747	−	11.1539i	−0.0231400	−	0.426792i	0.963895	−	0.266284i	$-0.0857960\pi$
$684$	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	0.989913	−	0.141676i	$-0.0452492\pi$
$691$	18.1367	+	21.3522i	0.689953	+	0.812276i	−0.299960	+	0.953952i	$0.596973\pi$
$692$	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	−0.163909	−	0.986475i	$-0.552410\pi$
$701$	22.1366	−	26.0612i	0.836088	−	0.984319i	0.999998	+	0.00215611i	$0.000686310\pi$
$702$	−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	0.888416	−	0.459040i	$-0.151807\pi$
$719$	24.1057	+	14.5039i	0.898990	+	0.540904i	0.0105741	+	0.999944i	$0.496634\pi$
$720$	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	0.626879	−	0.779117i	$-0.284332\pi$
$727$	43.8559	−	20.2899i	1.62652	−	0.752510i	0.999646	+	0.0266064i	$0.00847008\pi$
$728$	−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	0.882216	+	0.470845i	$0.156051\pi$
$733$	1.51828	+	28.0030i	0.0560789	+	1.03431i	−0.826137	+	0.563470i	$0.809466\pi$
$734$	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	0.631743	−	0.775178i	$-0.282340\pi$
$739$	12.2307	+	5.65853i	0.449914	+	0.208152i	−0.181829	+	0.983330i	$0.558202\pi$
$740$	−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	−0.276754	−	0.960941i	$-0.589259\pi$
$743$	−9.28039	+	1.00930i	−0.340464	+	0.0370277i	−0.0637101	+	0.997968i	$0.520293\pi$
$744$	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	−0.251912	−	0.967750i	$-0.581059\pi$
$751$	13.2941	−	7.99881i	0.485109	−	0.291881i	0.737021	+	0.675870i	$0.236232\pi$
$752$	−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	0.982745	−	0.184965i	$-0.0592172\pi$
$757$	−0.209546	−	1.27817i	−0.00761608	−	0.0464560i	−0.990361	+	0.138509i	$0.955769\pi$
$758$	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	−0.901187	−	0.433431i	$-0.857303\pi$
$761$	2.51644	−	15.3496i	0.0912210	−	0.556423i	0.992408	−	0.122992i	$-0.0392490\pi$
$762$	−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	0.260782	−	0.965398i	$-0.416020\pi$
$769$	−16.6291	−	12.6411i	−0.599660	−	0.455850i	−0.860442	+	0.509548i	$0.829813\pi$
$770$	−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	−0.868581	−	0.495548i	$-0.834967\pi$
$773$	3.13510	−	19.1233i	0.112762	−	0.687816i	0.981342	−	0.192268i	$-0.0615844\pi$
$774$	−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	0.269887	+	0.962892i	$0.413014\pi$
$787$	−19.0356	+	35.9049i	−0.678545	+	1.27987i	−0.948432	+	0.316980i	$0.897331\pi$
$788$	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	−0.572094	−	0.820188i	$-0.693869\pi$
$797$	1.83917	−	1.39810i	0.0651466	−	0.0495232i	0.637241	+	0.770665i	$0.280076\pi$
$798$	−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	0.347593	−	0.937645i	$-0.386999\pi$
$809$	−18.0310	−	21.2277i	−0.633934	−	0.746325i	−0.981528	+	0.191320i	$0.938723\pi$
$810$	−2.47866	+	1.49136i	−0.0870911	+	0.0524010i
$811$	−2.35729	+	8.49018i	−0.0827755	+	0.298131i	−0.993337	−	0.115242i	$-0.963236\pi$
$811$	−2.35729	+	8.49018i	−0.0827755	+	0.298131i	0.910562	+	0.413373i	$0.135649\pi$
$812$	−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	0.561060	−	0.827775i	$-0.310394\pi$
$821$	−6.73711	−	6.38173i	−0.235127	−	0.222724i	−0.796186	+	0.605052i	$0.793152\pi$
$822$	−4.16056	−	14.9850i	−0.145116	−	0.522662i
$823$	−10.9215	−	20.6002i	−0.380701	−	0.718077i	0.616920	−	0.787026i	$-0.288380\pi$
$823$	−10.9215	−	20.6002i	−0.380701	−	0.718077i	−0.997620	+	0.0689487i	$0.978036\pi$
$824$	−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	0.565450	−	0.824783i	$-0.308703\pi$
$829$	−12.5113	−	23.5989i	−0.434537	−	0.819623i	−0.999987	+	0.00515923i	$0.998358\pi$
$830$	−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	−0.923219	−	0.384275i	$-0.874451\pi$
$839$	−27.1836	−	40.0928i	−0.938483	−	1.38416i	−0.0152643	−	0.999883i	$-0.504859\pi$
$840$	−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	0.315749	−	0.948843i	$-0.397744\pi$
$853$	12.2708	+	1.33453i	0.420143	+	0.0456934i	0.104394	+	0.994536i	$0.466710\pi$
$854$	−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	−0.183834	−	0.982957i	$-0.558851\pi$
$857$	−30.7974	−	14.2484i	−1.05202	−	0.486715i	−0.868184	+	0.496242i	$0.834713\pi$
$858$	−3.15133	−	0.342728i	−0.107585	−	0.0117005i
$859$	0.476877	−	8.79549i	0.0162708	−	0.300098i	−0.979060	−	0.203573i	$-0.934744\pi$
$859$	0.476877	−	8.79549i	0.0162708	−	0.300098i	0.995331	−	0.0965249i	$-0.0307727\pi$
$860$	−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	−0.996373	−	0.0850906i	$-0.972882\pi$
$863$	−9.73924	−	24.4436i	−0.331528	−	0.832071i	0.664846	−	0.746981i	$-0.268497\pi$
$864$	−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	−0.0271179	−	0.999632i	$-0.508633\pi$
$877$	20.1381	−	50.5429i	0.680016	−	1.70671i	0.707134	−	0.707080i	$-0.249988\pi$
$878$	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	0.986762	−	0.162178i	$-0.0518519\pi$
$881$	1.71074	+	6.16153i	0.0576363	+	0.207587i	−0.929125	+	0.369765i	$0.879438\pi$
$882$	2.25715	+	4.25744i	0.0760023	+	0.143356i
$883$	−33.8714	−	25.7484i	−1.13987	−	0.866503i	−0.147406	−	0.989076i	$-0.547092\pi$
$883$	−33.8714	−	25.7484i	−1.13987	−	0.866503i	−0.992459	+	0.122573i	$0.960885\pi$
$884$	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	0.869102	−	0.494633i	$-0.164697\pi$
$887$	18.6143	+	14.1503i	0.625008	+	0.475119i	−0.244094	+	0.969752i	$0.578490\pi$
$888$	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	0.990654	+	0.136398i	$0.0435525\pi$
$907$	10.9999	+	27.6076i	0.365244	+	0.916694i	−0.625410	+	0.780296i	$0.715068\pi$
$908$	−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	−0.960097	−	0.279666i	$-0.909776\pi$
$911$	0.742769	−	13.6996i	0.0246090	−	0.453887i	0.984707	−	0.174221i	$-0.0557409\pi$
$912$	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	0.791804	+	0.610775i	$0.209142\pi$
$919$	2.14260	+	39.5180i	0.0706780	+	1.30358i	−0.721126	+	0.692803i	$0.756375\pi$
$920$	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	−0.763203	−	0.646159i	$-0.776374\pi$
$929$	6.82383	−	24.5772i	0.223882	−	0.806352i	0.987086	−	0.160193i	$-0.0512118\pi$
$930$	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	−0.0128113	−	0.999918i	$-0.504078\pi$
$937$	29.8760	−	35.1728i	0.976007	−	1.14904i	0.988818	−	0.149126i	$-0.0476461\pi$
$938$	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	0.973294	−	0.229563i	$-0.0737296\pi$
$941$	7.27282	+	13.7180i	0.237087	+	0.447194i	−0.736207	+	0.676757i	$0.763385\pi$
$942$	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	0.812792	−	0.582554i	$-0.197947\pi$
$947$	−3.86236	−	7.28519i	−0.125510	−	0.236737i	−0.938302	+	0.345817i	$0.887602\pi$
$948$	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	−0.406854	+	0.913493i	$0.633374\pi$
$953$	−34.1083	+	50.3060i	−1.10488	+	1.62957i	−0.698022	+	0.716076i	$0.745936\pi$
$954$	−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	0.755252	−	0.655434i	$-0.227514\pi$
$967$	29.8481	+	10.0570i	0.959851	+	0.323412i	0.204599	+	0.978846i	$0.434411\pi$
$968$	−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	−0.548960	−	0.835848i	$-0.684976\pi$
$971$	−39.4113	−	4.28624i	−1.26477	−	0.137552i	−0.715809	+	0.698296i	$0.753942\pi$
$972$	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	0.946544	+	0.322574i	$0.104548\pi$
$977$	−0.916697	+	16.9075i	−0.0293277	+	0.540918i	−0.975872	+	0.218344i	$0.929935\pi$
$978$	−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	0.199196	+	0.979960i	$0.436167\pi$
$983$	−22.6898	+	42.7975i	−0.723692	+	1.36503i	−0.922888	+	0.385068i	$0.874178\pi$
$984$	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	−0.603950	−	0.797022i	$-0.706407\pi$
$991$	5.01183	−	4.74745i	0.159206	−	0.150808i	0.763156	+	0.646214i	$0.223649\pi$
$992$	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	0.748279	+	0.663384i	$0.230881\pi$
$997$	−5.45146	+	33.2525i	−0.172650	+	1.05312i	−0.920928	+	0.389732i	$0.872568\pi$
$998$	−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.25.3	✓	84
59.26	even	29	inner	354.2.e.d.85.3	yes	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
354.2.e.d.25.3	✓	84	1.1	even	1	trivial
354.2.e.d.85.3	yes	84	59.26	even	29	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:	\( N \)	\(=\)	\( 354 = 2 \cdot 3 \cdot 59 \)
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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