LMFDB - Embedded newform 430.2.q.d.31.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [430,2,Mod(31,430)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(430, base_ring=CyclotomicField(42))

chi = DirichletCharacter(H, H._module([0, 34]))

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

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

chi := DirichletCharacter("430.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 430 = 2 \cdot 5 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	430.q (of order $21$, degree $12$, 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:	$3.43356728692$
Analytic rank:	$0$
Dimension:	$60$
Relative dimension:	$5$ over $\Q(\zeta_{21})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label			31.2
Character	$\chi$	$=$	430.31
Dual form			430.2.q.d.111.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.900969 - 0.433884i) q^{2} +(-1.77519 + 1.21030i) q^{3} +(0.623490 - 0.781831i) q^{4} +(0.733052 + 0.680173i) q^{5} +(-1.07426 + 1.86067i) q^{6} +(-2.45123 - 4.24566i) q^{7} +(0.222521 - 0.974928i) q^{8} +(0.590433 - 1.50440i) q^{9} +O(q^{10})$	\(q+(0.900969 - 0.433884i) q^{2} +(-1.77519 + 1.21030i) q^{3} +(0.623490 - 0.781831i) q^{4} +(0.733052 + 0.680173i) q^{5} +(-1.07426 + 1.86067i) q^{6} +(-2.45123 - 4.24566i) q^{7} +(0.222521 - 0.974928i) q^{8} +(0.590433 - 1.50440i) q^{9} +(0.955573 + 0.294755i) q^{10} +(-3.00854 - 3.77260i) q^{11} +(-0.160559 + 2.14251i) q^{12} +(6.54186 - 2.01790i) q^{13} +(-4.05060 - 2.76166i) q^{14} +(-2.12452 - 0.320220i) q^{15} +(-0.222521 - 0.974928i) q^{16} +(1.85456 - 1.72078i) q^{17} +(-0.120772 - 1.61160i) q^{18} +(1.07162 + 2.73043i) q^{19} +(0.988831 - 0.149042i) q^{20} +(9.48992 + 4.57010i) q^{21} +(-4.34747 - 2.09363i) q^{22} +(4.58983 - 0.691805i) q^{23} +(0.784941 + 2.00000i) q^{24} +(0.0747301 + 0.997204i) q^{25} +(5.01848 - 4.65647i) q^{26} +(-0.661621 - 2.89875i) q^{27} +(-4.84771 - 0.730674i) q^{28} +(-8.09523 - 5.51924i) q^{29} +(-2.05306 + 0.633286i) q^{30} +(-0.184040 + 2.45584i) q^{31} +(-0.623490 - 0.781831i) q^{32} +(9.90670 + 3.05581i) q^{33} +(0.924281 - 2.35503i) q^{34} +(1.09090 - 4.77955i) q^{35} +(-0.808058 - 1.39960i) q^{36} +(0.326725 - 0.565905i) q^{37} +(2.15018 + 1.99508i) q^{38} +(-9.17075 + 11.4998i) q^{39} +(0.826239 - 0.563320i) q^{40} +(-4.70755 + 2.26704i) q^{41} +10.5330 q^{42} +(-6.31743 - 1.75786i) q^{43} -4.82533 q^{44} +(1.45607 - 0.701206i) q^{45} +(3.83513 - 2.61475i) q^{46} +(3.79449 - 4.75814i) q^{47} +(1.57497 + 1.46136i) q^{48} +(-8.51707 + 14.7520i) q^{49} +(0.500000 + 0.866025i) q^{50} +(-1.20953 + 5.29928i) q^{51} +(2.50113 - 6.37277i) q^{52} +(4.97023 + 1.53311i) q^{53} +(-1.85382 - 2.32462i) q^{54} +(0.360597 - 4.81184i) q^{55} +(-4.68466 + 1.44503i) q^{56} +(-5.20696 - 3.55005i) q^{57} +(-9.68826 - 1.46027i) q^{58} +(-0.871828 - 3.81973i) q^{59} +(-1.57497 + 1.46136i) q^{60} +(-0.656649 - 8.76237i) q^{61} +(0.899735 + 2.29249i) q^{62} +(-7.83445 + 1.18085i) q^{63} +(-0.900969 - 0.433884i) q^{64} +(6.16804 + 2.97037i) q^{65} +(10.2515 - 1.54516i) q^{66} +(4.96324 + 12.6461i) q^{67} +(-0.189061 - 2.52284i) q^{68} +(-7.31050 + 6.78316i) q^{69} +(-1.09090 - 4.77955i) q^{70} +(6.36501 + 0.959370i) q^{71} +(-1.33530 - 0.910390i) q^{72} +(-2.96155 + 0.913516i) q^{73} +(0.0488324 - 0.651624i) q^{74} +(-1.33958 - 1.67978i) q^{75} +(2.80288 + 0.864573i) q^{76} +(-8.64251 + 22.0207i) q^{77} +(-3.27300 + 14.3400i) q^{78} +(7.02471 + 12.1671i) q^{79} +(0.500000 - 0.866025i) q^{80} +(8.23695 + 7.64277i) q^{81} +(-3.25772 + 4.08506i) q^{82} +(-1.58839 + 1.08295i) q^{83} +(9.48992 - 4.57010i) q^{84} +2.52991 q^{85} +(-6.45452 + 1.15725i) q^{86} +21.0505 q^{87} +(-4.34747 + 2.09363i) q^{88} +(0.518272 - 0.353352i) q^{89} +(1.00763 - 1.26353i) q^{90} +(-24.6029 - 22.8281i) q^{91} +(2.32084 - 4.01980i) q^{92} +(-2.64560 - 4.58232i) q^{93} +(1.35424 - 5.93331i) q^{94} +(-1.07162 + 2.73043i) q^{95} +(2.05306 + 0.633286i) q^{96} +(4.11019 + 5.15402i) q^{97} +(-1.27296 + 16.9865i) q^{98} +(-7.45183 + 2.29859i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 60 q + 10 q^{2} - q^{3} - 10 q^{4} - 5 q^{5} - 6 q^{6} + q^{7} + 10 q^{8} + 8 q^{9}+O(q^{10}) $ 60 * q + 10 * q^2 - q^3 - 10 * q^4 - 5 * q^5 - 6 * q^6 + q^7 + 10 * q^8 + 8 * q^9	\( 60 q + 10 q^{2} - q^{3} - 10 q^{4} - 5 q^{5} - 6 q^{6} + q^{7} + 10 q^{8} + 8 q^{9} + 5 q^{10} + 3 q^{11} - q^{12} + 13 q^{13} - 15 q^{14} + q^{15} - 10 q^{16} + 38 q^{17} + 6 q^{18} + 17 q^{19} - 5 q^{20} + 4 q^{21} + 11 q^{22} - 8 q^{23} + q^{24} + 5 q^{25} + 29 q^{26} - 16 q^{27} - 6 q^{28} - 41 q^{29} - q^{30} + 15 q^{31} + 10 q^{32} + 63 q^{33} - 10 q^{34} + 2 q^{35} - 48 q^{36} + 7 q^{37} + 25 q^{38} - 64 q^{39} + 5 q^{40} - 22 q^{41} - 60 q^{42} + 6 q^{43} - 4 q^{44} + 30 q^{45} - 20 q^{46} - 13 q^{47} - q^{48} - 93 q^{49} + 30 q^{50} + 18 q^{51} - 15 q^{52} + 71 q^{53} - 5 q^{54} - 16 q^{55} - q^{56} - 94 q^{57} - 22 q^{58} + 20 q^{59} + q^{60} + 91 q^{61} + 69 q^{62} - 50 q^{63} - 10 q^{64} + 5 q^{65} + 14 q^{66} - 26 q^{67} - 18 q^{68} - 94 q^{69} - 2 q^{70} + 20 q^{71} - 36 q^{72} - 56 q^{73} - 7 q^{74} + 2 q^{75} + 38 q^{76} + 41 q^{77} - 13 q^{78} - 46 q^{79} + 30 q^{80} + 39 q^{81} + 8 q^{82} - 115 q^{83} + 4 q^{84} + 6 q^{85} + 29 q^{86} + 20 q^{87} + 11 q^{88} + 30 q^{89} - 16 q^{90} - 53 q^{91} - 8 q^{92} + 16 q^{93} + 41 q^{94} - 17 q^{95} + q^{96} + 113 q^{97} + 2 q^{98} + 139 q^{99}+O(q^{100}) \) 60 * q + 10 * q^2 - q^3 - 10 * q^4 - 5 * q^5 - 6 * q^6 + q^7 + 10 * q^8 + 8 * q^9 + 5 * q^10 + 3 * q^11 - q^12 + 13 * q^13 - 15 * q^14 + q^15 - 10 * q^16 + 38 * q^17 + 6 * q^18 + 17 * q^19 - 5 * q^20 + 4 * q^21 + 11 * q^22 - 8 * q^23 + q^24 + 5 * q^25 + 29 * q^26 - 16 * q^27 - 6 * q^28 - 41 * q^29 - q^30 + 15 * q^31 + 10 * q^32 + 63 * q^33 - 10 * q^34 + 2 * q^35 - 48 * q^36 + 7 * q^37 + 25 * q^38 - 64 * q^39 + 5 * q^40 - 22 * q^41 - 60 * q^42 + 6 * q^43 - 4 * q^44 + 30 * q^45 - 20 * q^46 - 13 * q^47 - q^48 - 93 * q^49 + 30 * q^50 + 18 * q^51 - 15 * q^52 + 71 * q^53 - 5 * q^54 - 16 * q^55 - q^56 - 94 * q^57 - 22 * q^58 + 20 * q^59 + q^60 + 91 * q^61 + 69 * q^62 - 50 * q^63 - 10 * q^64 + 5 * q^65 + 14 * q^66 - 26 * q^67 - 18 * q^68 - 94 * q^69 - 2 * q^70 + 20 * q^71 - 36 * q^72 - 56 * q^73 - 7 * q^74 + 2 * q^75 + 38 * q^76 + 41 * q^77 - 13 * q^78 - 46 * q^79 + 30 * q^80 + 39 * q^81 + 8 * q^82 - 115 * q^83 + 4 * q^84 + 6 * q^85 + 29 * q^86 + 20 * q^87 + 11 * q^88 + 30 * q^89 - 16 * q^90 - 53 * q^91 - 8 * q^92 + 16 * q^93 + 41 * q^94 - 17 * q^95 + q^96 + 113 * q^97 + 2 * q^98 + 139 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/430\mathbb{Z}\right)^\times$.

$n$	$87$	$261$
$\chi(n)$	$1$	$e\left(\frac{17}{21}\right)$

Coefficient data

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

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

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

$2$	0.900969	−	0.433884i	0.637081	−	0.306802i
$2$	0.900969	−	0.433884i	0.637081	−	0.306802i
$3$	−1.77519	+	1.21030i	−1.02490	+	0.698768i	−0.954335	−	0.298739i	$-0.903434\pi$
$3$	−1.77519	+	1.21030i	−1.02490	+	0.698768i	−0.0705694	+	0.997507i	$0.522482\pi$
$4$	0.623490	−	0.781831i	0.311745	−	0.390916i
$5$	0.733052	+	0.680173i	0.327831	+	0.304182i
$5$	0.733052	+	0.680173i	0.327831	+	0.304182i
$6$	−1.07426	+	1.86067i	−0.438564	+	0.759615i
$7$	−2.45123	−	4.24566i	−0.926478	−	1.60471i	−0.789166	−	0.614180i	$-0.789487\pi$
$7$	−2.45123	−	4.24566i	−0.926478	−	1.60471i	−0.137312	−	0.990528i	$-0.543846\pi$
$8$	0.222521	−	0.974928i	0.0786730	−	0.344689i
$9$	0.590433	−	1.50440i	0.196811	−	0.501466i
$10$	0.955573	+	0.294755i	0.302179	+	0.0932098i
$11$	−3.00854	−	3.77260i	−0.907110	−	1.13748i	−0.990021	−	0.140923i	$-0.954993\pi$
$11$	−3.00854	−	3.77260i	−0.907110	−	1.13748i	0.0829103	−	0.996557i	$-0.473578\pi$
$12$	−0.160559	+	2.14251i	−0.0463493	+	0.618489i
$13$	6.54186	−	2.01790i	1.81438	−	0.559663i	0.814592	−	0.580035i	$-0.196961\pi$
$13$	6.54186	−	2.01790i	1.81438	−	0.559663i	0.999792	+	0.0203714i	$0.00648488\pi$
$14$	−4.05060	−	2.76166i	−1.08257	−	0.738083i
$15$	−2.12452	−	0.320220i	−0.548548	−	0.0826803i
$16$	−0.222521	−	0.974928i	−0.0556302	−	0.243732i
$17$	1.85456	−	1.72078i	0.449796	−	0.417350i	−0.422473	−	0.906375i	$-0.638838\pi$
$17$	1.85456	−	1.72078i	0.449796	−	0.417350i	0.872270	+	0.489025i	$0.162647\pi$
$18$	−0.120772	−	1.61160i	−0.0284663	−	0.379857i
$19$	1.07162	+	2.73043i	0.245845	+	0.626404i	0.999524	−	0.0308389i	$-0.00981788\pi$
$19$	1.07162	+	2.73043i	0.245845	+	0.626404i	−0.753679	+	0.657243i	$0.771723\pi$
$20$	0.988831	−	0.149042i	0.221109	−	0.0333269i
$21$	9.48992	+	4.57010i	2.07087	+	0.997278i
$22$	−4.34747	−	2.09363i	−0.926884	−	0.446364i
$23$	4.58983	−	0.691805i	0.957045	−	0.144251i	0.348094	−	0.937459i	$-0.386829\pi$
$23$	4.58983	−	0.691805i	0.957045	−	0.144251i	0.608951	+	0.793208i	$0.291591\pi$
$24$	0.784941	+	2.00000i	0.160225	+	0.408247i
$25$	0.0747301	+	0.997204i	0.0149460	+	0.199441i
$26$	5.01848	−	4.65647i	0.984204	−	0.913208i
$27$	−0.661621	−	2.89875i	−0.127329	−	0.557865i
$28$	−4.84771	−	0.730674i	−0.916130	−	0.138084i
$29$	−8.09523	−	5.51924i	−1.50325	−	1.02490i	−0.985560	−	0.169326i	$-0.945841\pi$
$29$	−8.09523	−	5.51924i	−1.50325	−	1.02490i	−0.517687	−	0.855570i	$-0.673207\pi$
$30$	−2.05306	+	0.633286i	−0.374836	+	0.115622i
$31$	−0.184040	+	2.45584i	−0.0330545	+	0.441082i	0.955983	+	0.293421i	$0.0947936\pi$
$31$	−0.184040	+	2.45584i	−0.0330545	+	0.441082i	−0.989038	+	0.147661i	$0.952825\pi$
$32$	−0.623490	−	0.781831i	−0.110218	−	0.138210i
$33$	9.90670	+	3.05581i	1.72454	+	0.531949i
$34$	0.924281	−	2.35503i	0.158513	−	0.403884i
$35$	1.09090	−	4.77955i	0.184396	−	0.807891i
$36$	−0.808058	−	1.39960i	−0.134676	−	0.233266i
$37$	0.326725	−	0.565905i	0.0537133	−	0.0930342i	−0.837919	−	0.545795i	$-0.816228\pi$
$37$	0.326725	−	0.565905i	0.0537133	−	0.0930342i	0.891632	+	0.452761i	$0.149561\pi$
$38$	2.15018	+	1.99508i	0.348806	+	0.323644i
$39$	−9.17075	+	11.4998i	−1.46850	+	1.84143i
$40$	0.826239	−	0.563320i	0.130640	−	0.0890687i
$41$	−4.70755	+	2.26704i	−0.735195	+	0.354051i	−0.763725	−	0.645542i	$-0.776632\pi$
$41$	−4.70755	+	2.26704i	−0.735195	+	0.354051i	0.0285298	+	0.999593i	$0.490917\pi$
$42$	10.5330			1.62528
$43$	−6.31743	−	1.75786i	−0.963399	−	0.268071i
$43$	−6.31743	−	1.75786i	−0.963399	−	0.268071i
$44$	−4.82533			−0.727446
$45$	1.45607	−	0.701206i	0.217058	−	0.104530i
$46$	3.83513	−	2.61475i	0.565459	−	0.385523i
$47$	3.79449	−	4.75814i	0.553483	−	0.694046i	−0.423855	−	0.905730i	$-0.639323\pi$
$47$	3.79449	−	4.75814i	0.553483	−	0.694046i	0.977338	+	0.211684i	$0.0678947\pi$
$48$	1.57497	+	1.46136i	0.227328	+	0.210929i
$49$	−8.51707	+	14.7520i	−1.21672	+	2.10743i
$50$	0.500000	+	0.866025i	0.0707107	+	0.122474i
$51$	−1.20953	+	5.29928i	−0.169367	+	0.742047i
$52$	2.50113	−	6.37277i	0.346844	−	0.883744i
$53$	4.97023	+	1.53311i	0.682713	+	0.210589i	0.616663	−	0.787227i	$-0.288484\pi$
$53$	4.97023	+	1.53311i	0.682713	+	0.210589i	0.0660503	+	0.997816i	$0.478960\pi$
$54$	−1.85382	−	2.32462i	−0.252273	−	0.316340i
$55$	0.360597	−	4.81184i	0.0486229	−	0.648828i
$56$	−4.68466	+	1.44503i	−0.626014	+	0.193100i
$57$	−5.20696	−	3.55005i	−0.689679	−	0.470215i
$58$	−9.68826	−	1.46027i	−1.27213	−	0.191743i
$59$	−0.871828	−	3.81973i	−0.113502	−	0.497286i	−0.999439	−	0.0334806i	$-0.989341\pi$
$59$	−0.871828	−	3.81973i	−0.113502	−	0.497286i	0.885937	−	0.463805i	$-0.153516\pi$
$60$	−1.57497	+	1.46136i	−0.203328	+	0.188661i
$61$	−0.656649	−	8.76237i	−0.0840753	−	1.12191i	−0.866505	−	0.499168i	$-0.833639\pi$
$61$	−0.656649	−	8.76237i	−0.0840753	−	1.12191i	0.782430	−	0.622739i	$-0.213980\pi$
$62$	0.899735	+	2.29249i	0.114267	+	0.291146i
$63$	−7.83445	+	1.18085i	−0.987048	+	0.148774i
$64$	−0.900969	−	0.433884i	−0.112621	−	0.0542355i
$65$	6.16804	+	2.97037i	0.765051	+	0.368429i
$66$	10.2515	−	1.54516i	1.26187	−	0.190197i
$67$	4.96324	+	12.6461i	0.606356	+	1.54497i	0.822594	+	0.568629i	$0.192526\pi$
$67$	4.96324	+	12.6461i	0.606356	+	1.54497i	−0.216238	+	0.976341i	$0.569379\pi$
$68$	−0.189061	−	2.52284i	−0.0229270	−	0.305939i
$69$	−7.31050	+	6.78316i	−0.880081	+	0.816596i
$70$	−1.09090	−	4.77955i	−0.130388	−	0.571265i
$71$	6.36501	+	0.959370i	0.755387	+	0.113856i	0.515435	−	0.856928i	$-0.327630\pi$
$71$	6.36501	+	0.959370i	0.755387	+	0.113856i	0.239952	+	0.970785i	$0.422868\pi$
$72$	−1.33530	−	0.910390i	−0.157366	−	0.107291i
$73$	−2.96155	+	0.913516i	−0.346623	+	0.106919i	−0.463178	−	0.886265i	$-0.653291\pi$
$73$	−2.96155	+	0.913516i	−0.346623	+	0.106919i	0.116555	+	0.993184i	$0.462815\pi$
$74$	0.0488324	−	0.651624i	0.00567665	−	0.0757497i
$75$	−1.33958	−	1.67978i	−0.154681	−	0.193964i
$76$	2.80288	+	0.864573i	0.321512	+	0.0991734i
$77$	−8.64251	+	22.0207i	−0.984905	+	2.50950i
$78$	−3.27300	+	14.3400i	−0.370595	+	1.62368i
$79$	7.02471	+	12.1671i	0.790341	+	1.36891i	0.925756	+	0.378122i	$0.123430\pi$
$79$	7.02471	+	12.1671i	0.790341	+	1.36891i	−0.135415	+	0.990789i	$0.543237\pi$
$80$	0.500000	−	0.866025i	0.0559017	−	0.0968246i
$81$	8.23695	+	7.64277i	0.915217	+	0.849197i
$82$	−3.25772	+	4.08506i	−0.359755	+	0.451119i
$83$	−1.58839	+	1.08295i	−0.174349	+	0.118869i	−0.647350	−	0.762193i	$-0.724123\pi$
$83$	−1.58839	+	1.08295i	−0.174349	+	0.118869i	0.473001	+	0.881062i	$0.343171\pi$
$84$	9.48992	−	4.57010i	1.03543	−	0.498639i
$85$	2.52991			0.274408
$86$	−6.45452	+	1.15725i	−0.696008	+	0.124790i
$87$	21.0505			2.25685
$88$	−4.34747	+	2.09363i	−0.463442	+	0.223182i
$89$	0.518272	−	0.353352i	0.0549368	−	0.0374553i	−0.535540	−	0.844510i	$-0.679892\pi$
$89$	0.518272	−	0.353352i	0.0549368	−	0.0374553i	0.590477	+	0.807054i	$0.298940\pi$
$90$	1.00763	−	1.26353i	0.106214	−	0.133188i
$91$	−24.6029	−	22.8281i	−2.57908	−	2.39304i
$92$	2.32084	−	4.01980i	0.241964	−	0.419094i
$93$	−2.64560	−	4.58232i	−0.274336	−	0.475164i
$94$	1.35424	−	5.93331i	0.139679	−	0.611974i
$95$	−1.07162	+	2.73043i	−0.109945	+	0.280136i
$96$	2.05306	+	0.633286i	0.209540	+	0.0646345i
$97$	4.11019	+	5.15402i	0.417327	+	0.523312i	0.945411	−	0.325881i	$-0.105661\pi$
$97$	4.11019	+	5.15402i	0.417327	+	0.523312i	−0.528084	+	0.849192i	$0.677089\pi$
$98$	−1.27296	+	16.9865i	−0.128589	+	1.71590i
$99$	−7.45183	+	2.29859i	−0.748938	+	0.231017i
$100$	0.826239	+	0.563320i	0.0826239	+	0.0563320i
$101$	1.45311	+	0.219020i	0.144589	+	0.0217933i	0.220938	−	0.975288i	$-0.429088\pi$
$101$	1.45311	+	0.219020i	0.144589	+	0.0217933i	−0.0763487	+	0.997081i	$0.524326\pi$
$102$	1.20953	+	5.29928i	0.119761	+	0.524706i
$103$	−2.83425	+	2.62980i	−0.279267	+	0.259122i	−0.807353	−	0.590069i	$-0.799100\pi$
$103$	−2.83425	+	2.62980i	−0.279267	+	0.259122i	0.528086	+	0.849191i	$0.322910\pi$
$104$	−0.511603	−	6.82686i	−0.0501668	−	0.669429i
$105$	3.84814	+	9.80490i	0.375540	+	0.956861i
$106$	5.14321	−	0.775215i	0.499553	−	0.0752955i
$107$	−4.75748	−	2.29108i	−0.459923	−	0.221487i	0.189551	−	0.981871i	$-0.439297\pi$
$107$	−4.75748	−	2.29108i	−0.459923	−	0.221487i	−0.649474	+	0.760384i	$0.725011\pi$
$108$	−2.67885	−	1.29006i	−0.257772	−	0.124137i
$109$	9.55240	−	1.43979i	0.914954	−	0.137907i	0.325345	−	0.945596i	$-0.394520\pi$
$109$	9.55240	−	1.43979i	0.914954	−	0.137907i	0.589610	+	0.807688i	$0.299282\pi$
$110$	−1.76289	−	4.49177i	−0.168085	−	0.428274i
$111$	0.104917	+	1.40002i	0.00995830	+	0.132884i
$112$	−3.59376	+	3.33452i	−0.339578	+	0.315083i
$113$	0.0186396	+	0.0816656i	0.00175347	+	0.00768245i	0.975797	−	0.218678i	$-0.0701744\pi$
$113$	0.0186396	+	0.0816656i	0.00175347	+	0.00768245i	−0.974044	+	0.226360i	$0.927317\pi$
$114$	−6.23162	−	0.939265i	−0.583644	−	0.0879702i
$115$	3.83513	+	2.61475i	0.357628	+	0.243826i
$116$	−9.36241	+	2.88792i	−0.869278	+	0.268137i
$117$	0.826809	−	11.0330i	0.0764385	−	1.02000i
$118$	−2.44281	−	3.06318i	−0.224879	−	0.281989i
$119$	−11.8518	−	3.65579i	−1.08645	−	0.335126i
$120$	−0.784941	+	2.00000i	−0.0716549	+	0.182574i
$121$	−2.73341	+	11.9758i	−0.248491	+	1.08871i
$122$	−4.39347	−	7.60971i	−0.397766	−	0.688951i
$123$	5.61298	−	9.72196i	0.506105	−	0.876600i
$124$	1.80531	+	1.67508i	0.162121	+	0.150427i
$125$	−0.623490	+	0.781831i	−0.0557666	+	0.0699291i
$126$	−6.54624	+	4.46315i	−0.583186	+	0.397609i
$127$	7.93699	−	3.82225i	0.704294	−	0.339170i	−0.0472227	−	0.998884i	$-0.515037\pi$
$127$	7.93699	−	3.82225i	0.704294	−	0.339170i	0.751516	+	0.659714i	$0.229323\pi$
$128$	−1.00000			−0.0883883
$129$	13.3422	−	4.52546i	1.17471	−	0.398445i
$130$	6.84600			0.600434
$131$	8.39696	−	4.04376i	0.733646	−	0.353305i	−0.0294711	−	0.999566i	$-0.509382\pi$
$131$	8.39696	−	4.04376i	0.733646	−	0.353305i	0.763117	+	0.646260i	$0.223668\pi$
$132$	8.56586	−	5.84010i	0.745562	−	0.508316i
$133$	8.96570	−	11.2426i	0.777424	−	0.974859i
$134$	9.95867	+	9.24030i	0.860298	+	0.798240i
$135$	1.48665	−	2.57495i	0.127950	−	0.221616i
$136$	−1.26496	−	2.19097i	−0.108469	−	0.187874i
$137$	1.43847	−	6.30237i	0.122897	−	0.538448i	−0.875570	−	0.483092i	$-0.839514\pi$
$137$	1.43847	−	6.30237i	0.122897	−	0.538448i	0.998467	−	0.0553556i	$-0.0176292\pi$
$138$	−3.64344	+	9.28332i	−0.310150	+	0.790249i
$139$	1.10800	+	0.341772i	0.0939792	+	0.0289887i	0.341388	−	0.939922i	$-0.389103\pi$
$139$	1.10800	+	0.341772i	0.0939792	+	0.0289887i	−0.247409	+	0.968911i	$0.579579\pi$
$140$	−3.05664	−	3.83290i	−0.258333	−	0.323939i
$141$	−0.977143	+	13.0391i	−0.0822903	+	1.09809i
$142$	6.15093	−	1.89731i	0.516174	−	0.159219i
$143$	−27.2942	−	18.6088i	−2.28245	−	1.55615i
$144$	−1.59806	−	0.240870i	−0.133172	−	0.0200725i
$145$	−2.18019	−	9.55204i	−0.181055	−	0.793254i
$146$	−2.27190	+	2.10802i	−0.188024	+	0.174461i
$147$	−2.73498	−	36.4958i	−0.225577	−	3.01012i
$148$	−0.238732	−	0.608280i	−0.0196237	−	0.0500003i
$149$	−16.2444	+	2.44845i	−1.33079	+	0.200585i	−0.775646	−	0.631168i	$-0.782576\pi$
$149$	−16.2444	+	2.44845i	−1.33079	+	0.200585i	−0.555146	+	0.831753i	$0.687338\pi$
$150$	−1.93574	−	0.932206i	−0.158053	−	0.0761143i
$151$	21.0312	+	10.1281i	1.71150	+	0.824213i	0.991480	+	0.130256i	$0.0415800\pi$
$151$	21.0312	+	10.1281i	1.71150	+	0.824213i	0.720016	+	0.693957i	$0.244134\pi$
$152$	2.90043	−	0.437170i	0.235256	−	0.0354591i
$153$	−1.49375	−	3.80600i	−0.120762	−	0.307697i
$154$	1.76781	+	23.5899i	0.142455	+	1.90092i
$155$	−1.80531	+	1.67508i	−0.145006	+	0.134546i
$156$	3.27300	+	14.3400i	0.262050	+	1.14812i
$157$	18.0817	+	2.72537i	1.44307	+	0.217508i	0.823449	−	0.567390i	$-0.192047\pi$
$157$	18.0817	+	2.72537i	1.44307	+	0.217508i	0.619625	+	0.784898i	$0.287285\pi$
$158$	11.6082	+	7.91431i	0.923496	+	0.629629i
$159$	−10.6786	+	3.29392i	−0.846869	+	0.261224i
$160$	0.0747301	−	0.997204i	0.00590793	−	0.0788359i
$161$	−14.1879	−	17.7911i	−1.11816	−	1.40213i
$162$	10.7373	+	3.31202i	0.843603	+	0.260217i
$163$	3.82679	−	9.75050i	0.299737	−	0.763718i	−0.699078	−	0.715046i	$-0.746406\pi$
$163$	3.82679	−	9.75050i	0.299737	−	0.763718i	0.998815	−	0.0486722i	$-0.0154990\pi$
$164$	−1.16267	+	5.09398i	−0.0907891	+	0.397773i
$165$	5.18365	+	8.97834i	0.403546	+	0.698963i
$166$	−0.961220	+	1.66488i	−0.0746051	+	0.129220i
$167$	−10.2370	−	9.49855i	−0.792163	−	0.735020i	0.176257	−	0.984344i	$-0.443601\pi$
$167$	−10.2370	−	9.49855i	−0.792163	−	0.735020i	−0.968420	+	0.249325i	$0.919791\pi$
$168$	6.56723	−	8.23504i	0.506672	−	0.635347i
$169$	27.9829	−	19.0784i	2.15253	−	1.46757i
$170$	2.27937	−	1.09769i	0.174820	−	0.0841888i
$171$	4.74038			0.362506
$172$	−5.31320	+	3.84316i	−0.405128	+	0.293038i
$173$	−3.01271			−0.229052			−0.114526	−	0.993420i	$-0.536535\pi$
$173$	−3.01271			−0.229052			−0.114526	+	0.993420i	$0.536535\pi$
$174$	18.9658	−	9.13346i	1.43780	−	0.692406i
$175$	4.05060	−	2.76166i	0.306197	−	0.208762i
$176$	−3.00854	+	3.77260i	−0.226778	+	0.284370i
$177$	6.17068	+	5.72555i	0.463817	+	0.430359i
$178$	0.313634	−	0.543229i	0.0235078	−	0.0407168i
$179$	0.0288119	+	0.0499037i	0.00215350	+	0.00372998i	0.867100	−	0.498134i	$-0.165981\pi$
$179$	0.0288119	+	0.0499037i	0.00215350	+	0.00372998i	−0.864947	+	0.501864i	$0.832648\pi$
$180$	0.359620	−	1.57560i	0.0268045	−	0.117438i
$181$	−2.54851	+	6.49349i	−0.189429	+	0.482657i	−0.993762	−	0.111522i	$-0.964428\pi$
$181$	−2.54851	+	6.49349i	−0.189429	+	0.482657i	0.804333	+	0.594179i	$0.202523\pi$
$182$	−32.0712	−	9.89265i	−2.37728	−	0.733292i
$183$	11.7708	+	14.7601i	0.870121	+	1.09110i
$184$	0.346872	−	4.62869i	0.0255718	−	0.341232i
$185$	0.624420	−	0.192608i	0.0459082	−	0.0141608i
$186$	−4.37180	−	2.98064i	−0.320556	−	0.218551i
$187$	−12.0713	−	1.81946i	−0.882742	−	0.133052i
$188$	−1.35424	−	5.93331i	−0.0987680	−	0.432731i
$189$	−10.6853	+	9.91452i	−0.777242	+	0.721175i
$190$	0.219198	+	2.92499i	0.0159023	+	0.212201i
$191$	5.94161	+	15.1390i	0.429920	+	1.09542i	0.967649	+	0.252300i	$0.0811871\pi$
$191$	5.94161	+	15.1390i	0.429920	+	1.09542i	−0.537729	+	0.843118i	$0.680718\pi$
$192$	2.12452	−	0.320220i	0.153324	−	0.0231099i
$193$	−6.91082	−	3.32808i	−0.497452	−	0.239560i	0.168297	−	0.985736i	$-0.446173\pi$
$193$	−6.91082	−	3.32808i	−0.497452	−	0.239560i	−0.665749	+	0.746176i	$0.731888\pi$
$194$	5.93940	+	2.86027i	0.426424	+	0.205355i
$195$	−14.5445	+	2.19222i	−1.04155	+	0.156988i
$196$	6.22327	+	15.8566i	0.444519	+	1.13262i
$197$	−0.207601	−	2.77024i	−0.0147909	−	0.197371i	−0.999704	−	0.0243223i	$-0.992257\pi$
$197$	−0.207601	−	2.77024i	−0.0147909	−	0.197371i	0.984913	−	0.173049i	$-0.0553619\pi$
$198$	−5.71655	+	5.30418i	−0.406258	+	0.376952i
$199$	3.51087	+	15.3821i	0.248879	+	1.09041i	0.932669	+	0.360732i	$0.117473\pi$
$199$	3.51087	+	15.3821i	0.248879	+	1.09041i	−0.683790	+	0.729679i	$0.739670\pi$
$200$	0.988831	+	0.149042i	0.0699209	+	0.0105389i
$201$	−24.1163	−	16.4422i	−1.70103	−	1.15974i
$202$	1.40423	−	0.433148i	0.0988014	−	0.0304762i
$203$	−3.58950	+	47.8985i	−0.251933	+	3.36182i
$204$	3.38901	+	4.24969i	0.237278	+	0.297538i
$205$	−4.99285	−	1.54009i	−0.348716	−	0.107565i
$206$	−1.41254	+	3.59910i	−0.0984166	+	0.250761i
$207$	1.66924	−	7.31340i	0.116020	−	0.508316i
$208$	−3.42300	−	5.92881i	−0.237342	−	0.411089i
$209$	7.07681	−	12.2574i	0.489513	−	0.847862i
$210$	7.72124	+	7.16427i	0.532816	+	0.494381i
$211$	−15.0724	+	18.9002i	−1.03763	+	1.30114i	−0.0852039	+	0.996364i	$0.527154\pi$
$211$	−15.0724	+	18.9002i	−1.03763	+	1.30114i	−0.952423	+	0.304779i	$0.901417\pi$
$212$	4.29752	−	2.93000i	0.295155	−	0.201233i
$213$	−12.4602	+	6.00051i	−0.853759	+	0.411149i
$214$	−5.28040			−0.360961
$215$	−3.43535	−	5.58555i	−0.234289	−	0.380931i
$216$	−2.97330			−0.202307
$217$	10.8778	−	5.23846i	0.738432	−	0.355610i
$218$	7.98171	−	5.44184i	0.540590	−	0.368568i
$219$	4.15167	−	5.20602i	0.280544	−	0.351790i
$220$	−3.53722	−	3.28206i	−0.238479	−	0.221276i
$221$	8.65990	−	14.9994i	0.582528	−	1.00897i
$222$	0.701974	+	1.21585i	0.0471134	+	0.0816028i
$223$	2.35073	−	10.2992i	0.157416	−	0.689686i	−0.833195	−	0.552979i	$-0.813491\pi$
$223$	2.35073	−	10.2992i	0.157416	−	0.689686i	0.990612	−	0.136707i	$-0.0436519\pi$
$224$	−1.79107	+	4.56357i	−0.119671	+	0.304917i
$225$	1.54432	+	0.476358i	0.102954	+	0.0317572i
$226$	0.0522271	+	0.0654907i	0.00347410	+	0.00435638i
$227$	−1.25741	+	16.7790i	−0.0834574	+	1.11366i	0.785529	+	0.618825i	$0.212391\pi$
$227$	−1.25741	+	16.7790i	−0.0834574	+	1.11366i	−0.868986	+	0.494837i	$0.835228\pi$
$228$	−6.02202	+	1.85755i	−0.398818	+	0.123019i
$229$	−9.82738	−	6.70019i	−0.649411	−	0.442761i	0.193291	−	0.981142i	$-0.438084\pi$
$229$	−9.82738	−	6.70019i	−0.649411	−	0.442761i	−0.842702	+	0.538380i	$0.819036\pi$
$230$	4.58983	+	0.691805i	0.302644	+	0.0456163i
$231$	−11.3097	−	49.5510i	−0.744123	−	3.26021i
$232$	−7.18222	+	6.66412i	−0.471536	+	0.437521i
$233$	−0.176310	−	2.35269i	−0.0115504	−	0.154130i	−0.999997	−	0.00255822i	$-0.999186\pi$
$233$	−0.176310	−	2.35269i	−0.0115504	−	0.154130i	0.988446	−	0.151571i	$-0.0484334\pi$
$234$	−4.04211	−	10.2991i	−0.264241	−	0.673275i
$235$	6.01792	−	0.907055i	0.392566	−	0.0591698i
$236$	−3.52996	−	1.69994i	−0.229781	−	0.110657i
$237$	−27.1961	−	13.0969i	−1.76657	−	0.850738i
$238$	−12.2643	+	1.84854i	−0.794975	+	0.119823i
$239$	−1.61576	−	4.11688i	−0.104515	−	0.266299i	0.869045	−	0.494734i	$-0.164734\pi$
$239$	−1.61576	−	4.11688i	−0.104515	−	0.266299i	−0.973559	+	0.228435i	$0.926639\pi$
$240$	0.160559	+	2.14251i	0.0103640	+	0.138298i
$241$	19.1329	−	17.7527i	1.23246	−	1.14355i	0.247843	−	0.968800i	$-0.420278\pi$
$241$	19.1329	−	17.7527i	1.23246	−	1.14355i	0.984613	−	0.174751i	$-0.0559121\pi$
$242$	2.73341	+	11.9758i	0.175710	+	0.769836i
$243$	−15.0519	−	2.26871i	−0.965581	−	0.145538i
$244$	−7.26011	−	4.94986i	−0.464781	−	0.316882i
$245$	−16.2774	+	5.02090i	−1.03992	+	0.320773i
$246$	0.838917	−	11.1946i	0.0534874	−	0.713739i
$247$	12.5201	+	15.6997i	0.796633	+	0.998947i
$248$	2.35332	+	0.725902i	0.149436	+	0.0460948i
$249$	1.50900	−	3.84487i	0.0956291	−	0.243659i
$250$	−0.222521	+	0.974928i	−0.0140735	+	0.0616599i
$251$	−1.43944	−	2.49318i	−0.0908567	−	0.157368i	0.817015	−	0.576616i	$-0.195627\pi$
$251$	−1.43944	−	2.49318i	−0.0908567	−	0.157368i	−0.907872	+	0.419248i	$0.862294\pi$
$252$	−3.96147	+	6.86147i	−0.249549	+	0.432232i
$253$	−16.4186	−	15.2342i	−1.03223	−	0.957768i
$254$	5.49257	−	6.88746i	0.344634	−	0.432158i
$255$	−4.49107	+	3.06196i	−0.281242	+	0.191747i
$256$	−0.900969	+	0.433884i	−0.0563106	+	0.0271177i
$257$	21.6731			1.35193			0.675965	−	0.736934i	$-0.263727\pi$
$257$	21.6731			1.35193			0.675965	+	0.736934i	$0.263727\pi$
$258$	10.0573	−	9.86625i	0.626143	−	0.614246i
$259$	−3.20352			−0.199057
$260$	6.16804	−	2.97037i	0.382525	−	0.184215i
$261$	−13.0828	+	8.91972i	−0.809807	+	0.552117i
$262$	5.81088	−	7.28661i	0.358997	−	0.450168i
$263$	−9.92288	−	9.20709i	−0.611871	−	0.567734i	0.312170	−	0.950026i	$-0.398944\pi$
$263$	−9.92288	−	9.20709i	−0.611871	−	0.567734i	−0.924041	+	0.382293i	$0.875135\pi$
$264$	5.18365	−	8.97834i	0.319031	−	0.552579i
$265$	2.60065	+	4.50447i	0.159757	+	0.276707i
$266$	3.19982	−	14.0193i	0.196194	−	0.859580i
$267$	−0.492367	+	1.25453i	−0.0301324	+	0.0767761i
$268$	12.9817	+	4.00431i	0.792981	+	0.244602i
$269$	16.1938	+	20.3063i	0.987351	+	1.23810i	0.971209	+	0.238229i	$0.0765668\pi$
$269$	16.1938	+	20.3063i	0.987351	+	1.23810i	0.0161416	+	0.999870i	$0.494862\pi$
$270$	0.222195	−	2.96498i	0.0135223	−	0.180443i
$271$	1.37457	−	0.423999i	0.0834993	−	0.0257561i	−0.252724	−	0.967538i	$-0.581326\pi$
$271$	1.37457	−	0.423999i	0.0834993	−	0.0257561i	0.336223	+	0.941782i	$0.390850\pi$
$272$	−2.09031	−	1.42515i	−0.126744	−	0.0864125i
$273$	71.3036	+	10.7473i	4.31549	+	0.650456i
$274$	−1.43847	−	6.30237i	−0.0869014	−	0.380740i
$275$	3.53722	−	3.28206i	0.213302	−	0.197916i
$276$	0.745261	+	9.94481i	0.0448594	+	0.598607i
$277$	−0.124753	−	0.317866i	−0.00749568	−	0.0190987i	0.927077	−	0.374871i	$-0.122313\pi$
$277$	−0.124753	−	0.317866i	−0.00749568	−	0.0190987i	−0.934573	+	0.355772i	$0.884218\pi$
$278$	1.14656	−	0.172816i	0.0687662	−	0.0103648i
$279$	3.58590	+	1.72688i	0.214682	+	0.103386i
$280$	−4.41697	−	2.12710i	−0.263964	−	0.127118i
$281$	−7.25842	+	1.09403i	−0.433001	+	0.0652644i	−0.361927	−	0.932207i	$-0.617881\pi$
$281$	−7.25842	+	1.09403i	−0.433001	+	0.0652644i	−0.0710745	+	0.997471i	$0.522643\pi$
$282$	4.77706	+	12.1718i	0.284470	+	0.724818i
$283$	−0.184069	−	2.45623i	−0.0109418	−	0.146008i	0.989057	−	0.147533i	$-0.0471334\pi$
$283$	−0.184069	−	2.45623i	−0.0109418	−	0.146008i	−0.999999	+	0.00152578i	$0.999514\pi$
$284$	4.71858	−	4.37820i	0.279996	−	0.259799i
$285$	−1.40233	−	6.14400i	−0.0830667	−	0.363939i
$286$	−32.6653	−	4.92350i	−1.93154	−	0.291132i
$287$	21.1643	+	14.4296i	1.24929	+	0.851752i
$288$	−1.54432	+	0.476358i	−0.0909997	+	0.0280697i
$289$	−0.792104	+	10.5699i	−0.0465944	+	0.621759i
$290$	−6.10876	−	7.66014i	−0.358719	−	0.449819i
$291$	−13.5343	−	4.17477i	−0.793393	−	0.244729i
$292$	−1.13228	+	2.88500i	−0.0662616	+	0.168832i
$293$	5.20551	−	22.8068i	0.304109	−	1.33239i	−0.559752	−	0.828660i	$-0.689104\pi$
$293$	5.20551	−	22.8068i	0.304109	−	1.33239i	0.863861	−	0.503730i	$-0.168039\pi$
$294$	−18.2990	−	31.6949i	−1.06722	−	1.84848i
$295$	1.95898	−	3.39305i	0.114056	−	0.197551i
$296$	−0.479013	−	0.444459i	−0.0278421	−	0.0258337i
$297$	−8.94529	+	11.2170i	−0.519059	+	0.650879i
$298$	−13.5733	+	9.25415i	−0.786283	+	0.536078i
$299$	28.6300	−	13.7875i	1.65572	−	0.797350i
$300$	−2.14851			−0.124045
$301$	8.02221	+	31.1306i	0.462392	+	1.79434i
$302$	23.3429			1.34323
$303$	−2.84461	+	1.36989i	−0.163419	+	0.0786983i
$304$	2.42352	−	1.65233i	0.138998	−	0.0947674i
$305$	5.47857	−	6.86991i	0.313702	−	0.393370i
$306$	−2.99718	−	2.78098i	−0.171337	−	0.158978i
$307$	9.80173	−	16.9771i	0.559414	−	0.968934i	−0.438131	−	0.898911i	$-0.644359\pi$
$307$	9.80173	−	16.9771i	0.559414	−	0.968934i	0.997545	−	0.0700228i	$-0.0223072\pi$
$308$	11.8280	+	20.4867i	0.673963	+	1.16734i
$309$	1.84847	−	8.09868i	0.105156	−	0.460718i
$310$	−0.899735	+	2.29249i	−0.0511015	+	0.130205i
$311$	19.1655	+	5.91178i	1.08678	+	0.335226i	0.785848	−	0.618420i	$-0.212227\pi$
$311$	19.1655	+	5.91178i	1.08678	+	0.335226i	0.300929	+	0.953646i	$0.402703\pi$
$312$	9.17075	+	11.4998i	0.519191	+	0.651045i
$313$	0.771998	−	10.3016i	0.0436359	−	0.582281i	−0.931939	−	0.362615i	$-0.881884\pi$
$313$	0.771998	−	10.3016i	0.0436359	−	0.582281i	0.975575	−	0.219666i	$-0.0704968\pi$
$314$	17.4735	−	5.38987i	0.986087	−	0.304168i
$315$	−6.54624	−	4.46315i	−0.368839	−	0.251470i
$316$	13.8925	+	2.09396i	0.781514	+	0.117794i
$317$	0.0225590	+	0.0988374i	0.00126704	+	0.00555126i	0.975557	−	0.219744i	$-0.0705223\pi$
$317$	0.0225590	+	0.0988374i	0.00126704	+	0.00555126i	−0.974290	+	0.225296i	$0.927665\pi$
$318$	−8.19192	+	7.60099i	−0.459380	+	0.426242i
$319$	3.53302	+	47.1449i	0.197811	+	2.63961i
$320$	−0.365341	−	0.930874i	−0.0204232	−	0.0520374i
$321$	11.2183	−	1.69089i	0.626145	−	0.0943761i
$322$	−20.5021	−	9.87329i	−1.14254	−	0.550217i
$323$	6.68584	+	3.21973i	0.372010	+	0.179151i
$324$	11.1110	−	1.67472i	0.617279	−	0.0930398i
$325$	2.50113	+	6.37277i	0.138738	+	0.353497i
$326$	−0.782765	−	10.4453i	−0.0433534	−	0.578510i
$327$	−15.2147	+	14.1172i	−0.841375	+	0.780682i
$328$	1.16267	+	5.09398i	0.0641976	+	0.281268i
$329$	−29.5026	−	4.44680i	−1.62653	−	0.245160i
$330$	8.56586	+	5.84010i	0.471535	+	0.321487i
$331$	−0.0292233	+	0.00901420i	−0.00160626	+	0.000495465i	−0.295558	−	0.955325i	$-0.595506\pi$
$331$	−0.0292233	+	0.00901420i	−0.00160626	+	0.000495465i	0.293952	+	0.955820i	$0.405029\pi$
$332$	−0.143664	+	1.91706i	−0.00788459	+	0.105213i
$333$	−0.658438	−	0.825655i	−0.0360822	−	0.0452456i
$334$	−13.3445	−	4.11623i	−0.730178	−	0.225230i
$335$	−4.96324	+	12.6461i	−0.271171	+	0.690932i
$336$	2.34382	−	10.2689i	0.127866	−	0.560216i
$337$	0.318084	+	0.550938i	0.0173272	+	0.0300115i	0.874559	−	0.484919i	$-0.161151\pi$
$337$	0.318084	+	0.550938i	0.0173272	+	0.0300115i	−0.857232	+	0.514931i	$0.827818\pi$
$338$	16.9339	−	29.3303i	0.921082	−	1.59536i
$339$	−0.131929	−	0.122412i	−0.00716539	−	0.00664851i
$340$	1.57738	−	1.97797i	0.0855452	−	0.107270i
$341$	9.81859	−	6.69420i	0.531706	−	0.362511i
$342$	4.27093	−	2.05677i	0.230946	−	0.111218i
$343$	49.1920			2.65612
$344$	−3.11955	+	5.76788i	−0.168195	+	0.310983i
$345$	−9.97270			−0.536912
$346$	−2.71436	+	1.30717i	−0.145925	+	0.0702737i
$347$	−25.9308	+	17.6793i	−1.39204	+	0.949077i	−0.392470	+	0.919765i	$0.628379\pi$
$347$	−25.9308	+	17.6793i	−1.39204	+	0.949077i	−0.999570	+	0.0293118i	$0.990668\pi$
$348$	13.1248	−	16.4579i	0.703561	−	0.882238i
$349$	−16.5623	−	15.3675i	−0.886558	−	0.822605i	0.0984452	−	0.995142i	$-0.468613\pi$
$349$	−16.5623	−	15.3675i	−0.886558	−	0.822605i	−0.985003	+	0.172537i	$0.944804\pi$
$350$	2.45123	−	4.24566i	0.131024	−	0.226940i
$351$	−10.1776	−	17.6281i	−0.543240	−	0.940919i
$352$	−1.07374	+	4.70435i	−0.0572304	+	0.250743i
$353$	−0.386211	+	0.984051i	−0.0205560	+	0.0523757i	−0.940783	−	0.339009i	$-0.889908\pi$
$353$	−0.386211	+	0.984051i	−0.0205560	+	0.0523757i	0.920227	+	0.391384i	$0.128004\pi$
$354$	8.04381	+	2.48119i	0.427524	+	0.131874i
$355$	4.01334	+	5.03257i	0.213006	+	0.267101i
$356$	0.0468757	−	0.625513i	0.00248441	−	0.0331521i
$357$	25.4637	−	7.85452i	1.34768	−	0.415705i
$358$	0.0476110	+	0.0324607i	0.00251632	+	0.00171560i
$359$	−31.6701	−	4.77349i	−1.67148	−	0.251935i	−0.756081	−	0.654478i	$-0.772888\pi$
$359$	−31.6701	−	4.77349i	−1.67148	−	0.251935i	−0.915401	+	0.402543i	$0.868126\pi$
$360$	−0.359620	−	1.57560i	−0.0189536	−	0.0830412i
$361$	7.62109	−	7.07134i	0.401110	−	0.372176i
$362$	0.521294	+	6.95618i	0.0273986	+	0.365609i
$363$	−9.64206	−	24.5676i	−0.506077	−	1.28946i
$364$	−33.1874	+	5.00220i	−1.73949	+	0.262186i
$365$	−2.79232	−	1.34471i	−0.146156	−	0.0703852i
$366$	17.0093	+	8.19124i	0.889089	+	0.428163i
$367$	4.59380	−	0.692405i	0.239795	−	0.0361432i	−0.0280453	−	0.999607i	$-0.508928\pi$
$367$	4.59380	−	0.692405i	0.239795	−	0.0361432i	0.267840	+	0.963463i	$0.413690\pi$
$368$	−1.69579	−	4.32081i	−0.0883993	−	0.225238i
$369$	0.631034	+	8.42056i	0.0328503	+	0.438357i
$370$	0.479013	−	0.444459i	0.0249027	−	0.0231063i
$371$	−5.67411	−	24.8599i	−0.294585	−	1.29066i
$372$	−5.23211	−	0.788613i	−0.271272	−	0.0408877i
$373$	7.07327	+	4.82247i	0.366240	+	0.249698i	0.732431	−	0.680842i	$-0.238386\pi$
$373$	7.07327	+	4.82247i	0.366240	+	0.249698i	−0.366191	+	0.930540i	$0.619338\pi$
$374$	−11.6653	+	3.59827i	−0.603199	+	0.186062i
$375$	0.160559	−	2.14251i	0.00829122	−	0.110639i
$376$	−3.79449	−	4.75814i	−0.195686	−	0.245382i
$377$	−64.0951	−	19.7707i	−3.30106	−	1.01824i
$378$	−5.32538	+	13.5689i	−0.273908	+	0.697907i
$379$	−1.53136	+	6.70931i	−0.0786605	+	0.344634i	−0.998909	−	0.0467005i	$-0.985129\pi$
$379$	−1.53136	+	6.70931i	−0.0786605	+	0.344634i	0.920248	+	0.391335i	$0.127986\pi$
$380$	1.46660	+	2.54022i	0.0752348	+	0.130310i
$381$	−9.46355	+	16.3914i	−0.484833	+	0.839755i
$382$	11.9218	+	11.0618i	0.609970	+	0.565970i
$383$	6.05390	−	7.59135i	0.309340	−	0.387900i	−0.602723	−	0.797951i	$-0.705918\pi$
$383$	6.05390	−	7.59135i	0.309340	−	0.387900i	0.912063	+	0.410051i	$0.134489\pi$
$384$	1.77519	−	1.21030i	0.0905896	−	0.0617629i
$385$	−21.3133	+	10.2640i	−1.08623	+	0.523099i
$386$	−7.67044			−0.390415
$387$	−6.37455	+	8.46604i	−0.324036	+	0.430353i
$388$	6.59224			0.334670
$389$	−17.2362	+	8.30052i	−0.873910	+	0.420853i	−0.816397	−	0.577492i	$-0.804032\pi$
$389$	−17.2362	+	8.30052i	−0.873910	+	0.420853i	−0.0575138	+	0.998345i	$0.518317\pi$
$390$	−12.1529	+	8.28573i	−0.615388	+	0.419564i
$391$	7.32166	−	9.18107i	0.370272	−	0.464306i
$392$	12.4869	+	11.5862i	0.630684	+	0.585189i
$393$	−10.0120	+	17.3413i	−0.505038	+	0.874752i
$394$	−1.38900	−	2.40582i	−0.0699769	−	0.121204i
$395$	−3.12629	+	13.6972i	−0.157301	+	0.689179i
$396$	−2.84904	+	7.25922i	−0.143169	+	0.364790i
$397$	3.22431	+	0.994567i	0.161823	+	0.0499159i	0.374608	−	0.927183i	$-0.377777\pi$
$397$	3.22431	+	0.994567i	0.161823	+	0.0499159i	−0.212785	+	0.977099i	$0.568253\pi$
$398$	9.83725	+	12.3355i	0.493097	+	0.618324i
$399$	−2.30881	+	30.8090i	−0.115585	+	1.54238i
$400$	0.955573	−	0.294755i	0.0477786	−	0.0147378i
$401$	32.3730	+	22.0715i	1.61663	+	1.10220i	0.925014	+	0.379934i	$0.124053\pi$
$401$	32.3730	+	22.0715i	1.61663	+	1.10220i	0.691616	+	0.722265i	$0.256899\pi$
$402$	−28.8620	−	4.35025i	−1.43951	−	0.216971i
$403$	3.75167	+	16.4371i	0.186884	+	0.818792i
$404$	1.07723	−	0.999526i	0.0535944	−	0.0497283i
$405$	0.839706	+	11.2051i	0.0417253	+	0.556786i
$406$	17.5484	+	44.7125i	0.870910	+	2.21904i
$407$	−3.11790	+	0.469947i	−0.154548	+	0.0232944i
$408$	4.89727	+	2.35840i	0.242451	+	0.116758i
$409$	−7.57181	−	3.64639i	−0.374402	−	0.180303i	0.237214	−	0.971457i	$-0.423766\pi$
$409$	−7.57181	−	3.64639i	−0.374402	−	0.180303i	−0.611616	+	0.791155i	$0.709480\pi$
$410$	−5.16662	+	0.778743i	−0.255161	+	0.0384594i
$411$	5.07421	+	12.9289i	0.250292	+	0.637734i
$412$	0.288934	+	3.85556i	0.0142348	+	0.189950i
$413$	−14.0802	+	13.0645i	−0.692841	+	0.642863i
$414$	−1.66924	−	7.31340i	−0.0820384	−	0.359434i
$415$	−1.90097	−	0.286525i	−0.0933148	−	0.0140649i
$416$	−5.65643	−	3.85649i	−0.277329	−	0.189080i
$417$	−2.38055	+	0.734302i	−0.116576	+	0.0359589i
$418$	1.05770	−	14.1140i	0.0517339	−	0.690340i
$419$	−13.2574	−	16.6243i	−0.647668	−	0.812151i	0.344270	−	0.938871i	$-0.388126\pi$
$419$	−13.2574	−	16.6243i	−0.647668	−	0.812151i	−0.991939	+	0.126720i	$0.959555\pi$
$420$	10.0651	+	3.10466i	0.491125	+	0.151492i
$421$	−0.570529	+	1.45368i	−0.0278059	+	0.0708482i	−0.944102	−	0.329652i	$-0.893068\pi$
$421$	−0.570529	+	1.45368i	−0.0278059	+	0.0708482i	0.916297	+	0.400501i	$0.131164\pi$
$422$	−5.37928	+	23.5682i	−0.261859	+	1.14728i
$423$	−4.91775	−	8.51780i	−0.239109	−	0.414149i
$424$	2.60065	−	4.50447i	0.126299	−	0.218756i
$425$	1.85456	+	1.72078i	0.0899593	+	0.0834700i
$426$	−8.62272	+	10.8126i	−0.417772	+	0.523870i
$427$	−35.5924	+	24.2665i	−1.72244	+	1.17434i
$428$	−4.75748	+	2.29108i	−0.229961	+	0.110744i
$429$	70.9745			3.42668
$430$	−5.51863	−	3.54186i	−0.266132	−	0.170804i
$431$	0.610166			0.0293907			0.0146953	−	0.999892i	$-0.495322\pi$
$431$	0.610166			0.0293907			0.0146953	+	0.999892i	$0.495322\pi$
$432$	−2.67885	+	1.29006i	−0.128886	+	0.0620683i
$433$	−11.5031	+	7.84268i	−0.552803	+	0.376895i	−0.807266	−	0.590188i	$-0.799054\pi$
$433$	−11.5031	+	7.84268i	−0.552803	+	0.376895i	0.254463	+	0.967083i	$0.418101\pi$
$434$	7.52766	−	9.43939i	0.361339	−	0.453105i
$435$	15.4311	+	14.3180i	0.739864	+	0.686494i
$436$	4.83015	−	8.36606i	0.231322	−	0.400662i
$437$	6.80745	+	11.7909i	0.325645	+	0.564033i
$438$	1.48171	−	6.49181i	0.0707990	−	0.310190i
$439$	−4.53052	+	11.5436i	−0.216230	+	0.550945i	−0.997295	−	0.0735049i	$-0.976582\pi$
$439$	−4.53052	+	11.5436i	−0.216230	+	0.550945i	0.781065	+	0.624450i	$0.214677\pi$
$440$	−4.61095	−	1.42229i	−0.219819	−	0.0678051i
$441$	17.1641	+	21.5231i	0.817340	+	1.02491i
$442$	1.29431	−	17.2714i	0.0615641	−	0.821515i
$443$	−9.52913	+	2.93935i	−0.452743	+	0.139653i	−0.512736	−	0.858546i	$-0.671368\pi$
$443$	−9.52913	+	2.93935i	−0.452743	+	0.139653i	0.0599936	+	0.998199i	$0.480892\pi$
$444$	1.16000	+	0.790872i	0.0550510	+	0.0375331i
$445$	0.620261	+	0.0934893i	0.0294032	+	0.00443182i
$446$	−2.35073	−	10.2992i	−0.111310	−	0.487682i
$447$	25.8734	−	24.0070i	1.22377	−	1.13549i
$448$	0.366361	+	4.88875i	0.0173090	+	0.230972i
$449$	−1.52363	−	3.88215i	−0.0719046	−	0.183210i	0.890403	−	0.455173i	$-0.150422\pi$
$449$	−1.52363	−	3.88215i	−0.0719046	−	0.183210i	−0.962308	+	0.271963i	$0.912327\pi$
$450$	1.59806	−	0.240870i	0.0753335	−	0.0113547i
$451$	22.7155	+	10.9392i	1.06963	+	0.515107i
$452$	0.0754704	+	0.0363446i	0.00354983	+	0.00170951i
$453$	−49.5924	+	7.47485i	−2.33005	+	0.351199i
$454$	6.14725	+	15.6629i	0.288505	+	0.735098i
$455$	−2.50811	−	33.4684i	−0.117582	−	1.56902i
$456$	−4.61970	+	4.28645i	−0.216337	+	0.200732i
$457$	3.01993	+	13.2312i	0.141266	+	0.618928i	0.995142	+	0.0984509i	$0.0313887\pi$
$457$	3.01993	+	13.2312i	0.141266	+	0.618928i	−0.853876	+	0.520477i	$0.825754\pi$
$458$	−11.7613	−	1.77273i	−0.549568	−	0.0828340i
$459$	−6.21512	−	4.23740i	−0.290097	−	0.197785i
$460$	4.43545	−	1.36816i	0.206804	−	0.0637906i
$461$	−1.86729	+	24.9172i	−0.0869682	+	1.16051i	0.767515	+	0.641031i	$0.221493\pi$
$461$	−1.86729	+	24.9172i	−0.0869682	+	1.16051i	−0.854483	+	0.519479i	$0.826126\pi$
$462$	−31.6890	−	39.7368i	−1.47431	−	1.84872i
$463$	23.2346	+	7.16692i	1.07980	+	0.333075i	0.783101	−	0.621895i	$-0.213637\pi$
$463$	23.2346	+	7.16692i	1.07980	+	0.333075i	0.296702	+	0.954970i	$0.404113\pi$
$464$	−3.57950	+	9.12041i	−0.166174	+	0.423405i
$465$	1.17740	−	5.15854i	0.0546008	−	0.239222i
$466$	−1.17964	−	2.04320i	−0.0546459	−	0.0946494i
$467$	0.357574	−	0.619337i	0.0165466	−	0.0286595i	−0.857634	−	0.514261i	$-0.828066\pi$
$467$	0.357574	−	0.619337i	0.0165466	−	0.0286595i	0.874180	+	0.485602i	$0.161399\pi$
$468$	−8.11044	−	7.52539i	−0.374905	−	0.347861i
$469$	41.5251	−	52.0708i	1.91745	−	2.40441i
$470$	5.02840	−	3.42830i	0.231943	−	0.158136i
$471$	−35.3968	+	17.0462i	−1.63100	+	0.785449i
$472$	−3.91796			−0.180339
$473$	12.3746	+	29.1217i	0.568983	+	1.33902i
$474$	−30.1854			−1.38646
$475$	−2.64271	+	1.27266i	−0.121256	+	0.0583938i
$476$	−10.2477	+	6.98675i	−0.469702	+	0.320237i
$477$	5.24100	−	6.57201i	0.239969	−	0.300912i
$478$	−3.24199	−	3.00813i	−0.148285	−	0.137589i
$479$	17.7212	−	30.6941i	0.809704	−	1.40245i	−0.103365	−	0.994644i	$-0.532961\pi$
$479$	17.7212	−	30.6941i	0.809704	−	1.40245i	0.913069	−	0.407805i	$-0.133706\pi$
$480$	1.07426	+	1.86067i	0.0490329	+	0.0849275i
$481$	0.995453	−	4.36137i	0.0453888	−	0.198861i
$482$	9.53550	−	24.2961i	0.434330	−	1.10666i
$483$	46.7187	+	14.4108i	2.12577	+	0.655714i
$484$	7.65883	+	9.60387i	0.348129	+	0.436540i
$485$	−0.492639	+	6.57381i	−0.0223696	+	0.298501i
$486$	−14.5457	+	4.48674i	−0.659805	+	0.203523i
$487$	10.3380	+	7.04830i	0.468458	+	0.319389i	0.774439	−	0.632648i	$-0.218032\pi$
$487$	10.3380	+	7.04830i	0.468458	+	0.319389i	−0.305981	+	0.952037i	$0.598985\pi$
$488$	−8.68880	−	1.30963i	−0.393323	−	0.0592840i
$489$	5.00778	+	21.9405i	0.226460	+	0.992185i
$490$	−12.4869	+	11.5862i	−0.564101	+	0.523409i
$491$	−0.867204	−	11.5720i	−0.0391364	−	0.522239i	−0.981978	−	0.188997i	$-0.939476\pi$
$491$	−0.867204	−	11.5720i	−0.0391364	−	0.522239i	0.942841	−	0.333242i	$-0.108143\pi$
$492$	−4.10130	−	10.4499i	−0.184901	−	0.471120i
$493$	−24.5105	+	3.69436i	−1.10390	+	0.166385i
$494$	18.0920	+	8.71266i	0.813999	+	0.392001i
$495$	−7.02602	−	3.38355i	−0.315796	−	0.152079i
$496$	2.43522	−	0.367050i	0.109345	−	0.0164811i
$497$	−11.5289	−	29.3753i	−0.517144	−	1.31766i
$498$	−0.308664	−	4.11884i	−0.0138316	−	0.184570i
$499$	−18.3284	+	17.0063i	−0.820493	+	0.761306i	−0.973929	−	0.226853i	$-0.927156\pi$
$499$	−18.3284	+	17.0063i	−0.820493	+	0.761306i	0.153436	+	0.988159i	$0.450966\pi$
$500$	0.222521	+	0.974928i	0.00995144	+	0.0436001i
$501$	29.6687	+	4.47183i	1.32550	+	0.199787i
$502$	−2.37864	−	1.62173i	−0.106164	−	0.0723814i
$503$	−20.3825	+	6.28716i	−0.908809	+	0.280331i	−0.713701	−	0.700451i	$-0.752982\pi$
$503$	−20.3825	+	6.28716i	−0.908809	+	0.280331i	−0.195109	+	0.980782i	$0.562506\pi$
$504$	−0.592082	+	7.90079i	−0.0263734	+	0.351929i
$505$	0.916230	+	1.14892i	0.0407717	+	0.0511261i
$506$	−21.4025	−	6.60181i	−0.951459	−	0.293486i
$507$	−26.5842	+	67.7354i	−1.18065	+	3.00823i
$508$	1.96027	−	8.58852i	0.0869731	−	0.381054i
$509$	−2.20162	−	3.81333i	−0.0975853	−	0.169023i	0.813099	−	0.582125i	$-0.197779\pi$
$509$	−2.20162	−	3.81333i	−0.0975853	−	0.169023i	−0.910685	+	0.413102i	$0.864445\pi$
$510$	−2.71778	+	4.70733i	−0.120345	+	0.208444i
$511$	11.1379	+	10.3345i	0.492712	+	0.457170i
$512$	−0.623490	+	0.781831i	−0.0275546	+	0.0345524i
$513$	7.20583	−	4.91285i	0.318145	−	0.216908i
$514$	19.5268	−	9.40359i	0.861289	−	0.414775i
$515$	−3.86637			−0.170373
$516$	4.78055	−	13.2529i	0.210452	−	0.583426i
$517$	−29.3664			−1.29153
$518$	−2.88627	+	1.38995i	−0.126815	+	0.0610711i
$519$	5.34813	−	3.64629i	0.234757	−	0.160054i
$520$	4.26841	−	5.35242i	0.187182	−	0.234719i
$521$	−10.6307	−	9.86387i	−0.465740	−	0.432144i	0.412070	−	0.911152i	$-0.364806\pi$
$521$	−10.6307	−	9.86387i	−0.465740	−	0.432144i	−0.877810	+	0.479008i	$0.840996\pi$
$522$	−7.91710	+	13.7128i	−0.346522	+	0.600194i
$523$	4.72732	+	8.18797i	0.206711	+	0.358035i	0.950677	−	0.310184i	$-0.100391\pi$
$523$	4.72732	+	8.18797i	0.206711	+	0.358035i	−0.743965	+	0.668218i	$0.767057\pi$
$524$	2.07388	−	9.08625i	0.0905978	−	0.396935i
$525$	−3.84814	+	9.80490i	−0.167947	+	0.427921i
$526$	−12.9350	−	3.98992i	−0.563994	−	0.173969i
$527$	3.88465	+	4.87119i	0.169218	+	0.212192i
$528$	0.774749	−	10.3383i	0.0337166	−	0.449917i
$529$	−1.39026	+	0.428838i	−0.0604461	+	0.0186451i
$530$	4.29752	+	2.93000i	0.186672	+	0.127271i
$531$	−6.26115	−	0.943717i	−0.271711	−	0.0409538i
$532$	−3.19982	−	14.0193i	−0.138730	−	0.607815i
$533$	−26.2215	+	24.3300i	−1.13578	+	1.05385i
$534$	0.100713	+	1.34392i	0.00435829	+	0.0581573i
$535$	−1.92915	−	4.91539i	−0.0834043	−	0.212511i
$536$	13.4335	−	2.02477i	0.580238	−	0.0874568i
$537$	−0.111545	−	0.0537173i	−0.00481352	−	0.00231807i
$538$	23.4007	+	11.2692i	1.00887	+	0.485848i
$539$	81.2773	−	12.2506i	3.50086	−	0.527670i
$540$	−1.08627	−	2.76776i	−0.0467455	−	0.119106i
$541$	2.64838	+	35.3402i	0.113863	+	1.51939i	0.702901	+	0.711288i	$0.251888\pi$
$541$	2.64838	+	35.3402i	0.113863	+	1.51939i	−0.589038	+	0.808106i	$0.700493\pi$
$542$	1.05448	−	0.978415i	0.0452938	−	0.0420265i
$543$	−3.33500	−	14.6116i	−0.143119	−	0.627044i
$544$	−2.50166	−	0.377064i	−0.107258	−	0.0161665i
$545$	7.98171	+	5.44184i	0.341899	+	0.233103i
$546$	68.9054	−	21.2545i	2.94888	−	0.909609i
$547$	0.718833	−	9.59217i	0.0307351	−	0.410131i	−0.960524	−	0.278199i	$-0.910263\pi$
$547$	0.718833	−	9.59217i	0.0307351	−	0.410131i	0.991259	−	0.131933i	$-0.0421183\pi$
$548$	−4.03052	−	5.05411i	−0.172175	−	0.215901i
$549$	−13.5698	−	4.18573i	−0.579146	−	0.178643i
$550$	1.76289	−	4.49177i	0.0751699	−	0.191530i
$551$	6.39492	−	28.0180i	0.272433	−	1.19361i
$552$	4.98635	+	8.63661i	0.212233	+	0.367598i
$553$	34.4384	−	59.6490i	1.46447	−	2.53653i
$554$	−0.250315	−	0.232259i	−0.0106349	−	0.00986772i
$555$	−0.875348	+	1.09765i	−0.0371564	+	0.0465927i
$556$	0.958034	−	0.653176i	0.0406297	−	0.0277008i
$557$	−25.5063	+	12.2832i	−1.08074	+	0.520455i	−0.887552	−	0.460708i	$-0.847596\pi$
$557$	−25.5063	+	12.2832i	−1.08074	+	0.520455i	−0.193184	+	0.981163i	$0.561881\pi$
$558$	3.98005			0.168489
$559$	−44.8749	+	1.24824i	−1.89801	+	0.0527948i
$560$	−4.90246			−0.207167
$561$	23.6309	−	11.3801i	0.997699	−	0.480466i
$562$	−6.06493	+	4.13500i	−0.255834	+	0.174424i
$563$	2.95234	−	3.70212i	0.124426	−	0.156026i	−0.715716	−	0.698391i	$-0.753900\pi$
$563$	2.95234	−	3.70212i	0.124426	−	0.156026i	0.840143	+	0.542365i	$0.182471\pi$
$564$	9.58511	+	8.89369i	0.403606	+	0.374492i
$565$	−0.0418829	+	0.0725433i	−0.00176203	+	0.00305192i
$566$	−1.23156	−	2.13312i	−0.0517662	−	0.0896617i
$567$	12.2579	−	53.7055i	0.514784	−	2.25542i
$568$	2.35166	−	5.99194i	0.0986736	−	0.251416i
$569$	−2.34393	−	0.723007i	−0.0982627	−	0.0303100i	0.245234	−	0.969464i	$-0.421135\pi$
$569$	−2.34393	−	0.723007i	−0.0982627	−	0.0303100i	−0.343497	+	0.939154i	$0.611611\pi$
$570$	−3.92924	−	4.92711i	−0.164578	−	0.206374i
$571$	2.94321	−	39.2743i	0.123169	−	1.64358i	−0.503284	−	0.864121i	$-0.667875\pi$
$571$	2.94321	−	39.2743i	0.123169	−	1.64358i	0.626453	−	0.779459i	$-0.284506\pi$
$572$	−31.5666	+	9.73701i	−1.31987	+	0.407125i
$573$	−28.8702	−	19.6834i	−1.20607	−	0.822284i
$574$	25.3292	+	3.81776i	1.05722	+	0.159350i
$575$	1.03287	+	4.52529i	0.0430736	+	0.188718i
$576$	−1.18470	+	1.09924i	−0.0493624	+	0.0458016i
$577$	2.89338	+	38.6095i	0.120453	+	1.60733i	0.650595	+	0.759425i	$0.274520\pi$
$577$	2.89338	+	38.6095i	0.120453	+	1.60733i	−0.530142	+	0.847909i	$0.677861\pi$
$578$	3.87245	+	9.86683i	0.161073	+	0.410406i
$579$	16.2960	−	2.45622i	0.677238	−	0.102077i
$580$	−8.82742	−	4.25106i	−0.366538	−	0.176516i
$581$	8.49135	+	4.08922i	0.352281	+	0.169649i
$582$	−14.0053	+	2.11096i	−0.580540	+	0.0875023i
$583$	−9.16934	−	23.3631i	−0.379755	−	0.967601i
$584$	0.231606	+	3.09057i	0.00958393	+	0.127889i
$585$	8.11044	−	7.52539i	0.335325	−	0.311136i
$586$	−5.20551	−	22.8068i	−0.215038	−	0.942142i
$587$	38.8513	+	5.85589i	1.60356	+	0.241698i	0.889012	−	0.457884i	$-0.151392\pi$
$587$	38.8513	+	5.85589i	1.60356	+	0.241698i	0.714552	+	0.699582i	$0.246630\pi$
$588$	−30.2388	−	20.6164i	−1.24703	−	0.850208i
$589$	−6.90272	+	2.12921i	−0.284422	+	0.0877325i
$590$	0.292789	−	3.90700i	0.0120539	−	0.160849i
$591$	3.72135	+	4.66643i	0.153076	+	0.191951i
$592$	−0.624420	−	0.192608i	−0.0256635	−	0.00791614i
$593$	−6.53167	+	16.6424i	−0.268224	+	0.683423i	0.731775	+	0.681547i	$0.238692\pi$
$593$	−6.53167	+	16.6424i	−0.268224	+	0.683423i	−0.999998	+	0.00187595i	$0.999403\pi$
$594$	−3.19254	+	13.9874i	−0.130991	+	0.573911i
$595$	−6.20140	−	10.7411i	−0.254233	−	0.440344i
$596$	−8.21393	+	14.2270i	−0.336456	+	0.582759i
$597$	−24.8495	−	23.0569i	−1.01702	−	0.943658i
$598$	19.8126	−	24.8442i	0.810196	−	1.01595i
$599$	−4.05214	+	2.76270i	−0.165566	+	0.112881i	−0.643268	−	0.765641i	$-0.722422\pi$
$599$	−4.05214	+	2.76270i	−0.165566	+	0.112881i	0.477702	+	0.878522i	$0.341470\pi$
$600$	−1.93574	+	0.932206i	−0.0790265	+	0.0380571i
$601$	25.3832			1.03540			0.517700	−	0.855562i	$-0.326788\pi$
$601$	25.3832			1.03540			0.517700	+	0.855562i	$0.326788\pi$
$602$	20.7348	+	24.5670i	0.845087	+	1.00127i
$603$	21.9553			0.894088
$604$	21.0312	−	10.1281i	0.855748	−	0.412107i
$605$	−10.1494	+	6.91972i	−0.412630	+	0.281327i
$606$	−1.96853	+	2.46846i	−0.0799662	+	0.100274i
$607$	−3.73256	−	3.46331i	−0.151500	−	0.140571i	0.600782	−	0.799413i	$-0.294856\pi$
$607$	−3.73256	−	3.46331i	−0.151500	−	0.140571i	−0.752281	+	0.658842i	$0.771047\pi$
$608$	1.46660	−	2.54022i	0.0594783	−	0.103019i
$609$	−51.5996	−	89.3731i	−2.09092	−	3.62158i
$610$	1.95528	−	8.56663i	0.0791669	−	0.346853i
$611$	15.2216	−	38.7840i	0.615799	−	1.56903i
$612$	−3.90699	−	1.20515i	−0.157931	−	0.0487151i
$613$	−16.3948	−	20.5584i	−0.662179	−	0.830347i	0.331399	−	0.943491i	$-0.392479\pi$
$613$	−16.3948	−	20.5584i	−0.662179	−	0.830347i	−0.993579	+	0.113144i	$0.963908\pi$
$614$	1.46497	−	19.5486i	0.0591213	−	0.788919i
$615$	10.7272	−	3.30891i	0.432563	−	0.133428i
$616$	19.5455	+	13.3259i	0.787511	+	0.536916i
$617$	26.2248	+	3.95275i	1.05577	+	0.159132i	0.653913	−	0.756570i	$-0.273126\pi$
$617$	26.2248	+	3.95275i	1.05577	+	0.159132i	0.401858	+	0.915702i	$0.368364\pi$
$618$	−1.84847	−	8.09868i	−0.0743564	−	0.325777i
$619$	22.0999	−	20.5057i	0.888271	−	0.824195i	−0.0969846	−	0.995286i	$-0.530920\pi$
$619$	22.0999	−	20.5057i	0.888271	−	0.824195i	0.985255	+	0.171091i	$0.0547293\pi$
$620$	0.184040	+	2.45584i	0.00739122	+	0.0986290i
$621$	−5.04209	−	12.8470i	−0.202332	−	0.515534i
$622$	19.8326	−	2.98928i	0.795214	−	0.119859i
$623$	−2.77062	−	1.33426i	−0.111002	−	0.0534560i
$624$	13.2521	+	6.38188i	0.530509	+	0.255480i
$625$	−0.988831	+	0.149042i	−0.0395532	+	0.00596169i
$626$	−3.77415	−	9.61637i	−0.150845	−	0.384348i
$627$	2.27249	+	30.3242i	0.0907544	+	1.21103i
$628$	13.4045	−	12.4376i	0.534898	−	0.496313i
$629$	−0.367866	−	1.61173i	−0.0146678	−	0.0642637i
$630$	−7.83445	−	1.18085i	−0.312132	−	0.0470463i
$631$	−29.4040	−	20.0473i	−1.17056	−	0.798072i	−0.187661	−	0.982234i	$-0.560090\pi$
$631$	−29.4040	−	20.0473i	−1.17056	−	0.798072i	−0.982896	+	0.184162i	$0.941043\pi$
$632$	13.4252	−	4.14114i	0.534027	−	0.164726i
$633$	3.88139	−	51.7935i	0.154271	−	2.05861i
$634$	0.0632089	+	0.0792615i	0.00251035	+	0.00314788i
$635$	8.41802	+	2.59661i	0.334059	+	0.103043i
$636$	−4.08272	+	10.4026i	−0.161890	+	0.412490i
$637$	−25.9494	+	113.692i	−1.02815	+	4.50464i
$638$	23.6385	+	40.9432i	0.935859	+	1.62096i
$639$	5.20139	−	9.00907i	0.205764	−	0.356393i
$640$	−0.733052	−	0.680173i	−0.0289764	−	0.0268862i
$641$	−14.4052	+	18.0636i	−0.568973	+	0.713469i	−0.980188	−	0.198069i	$-0.936533\pi$
$641$	−14.4052	+	18.0636i	−0.568973	+	0.713469i	0.411215	+	0.911538i	$0.365104\pi$
$642$	9.37370	−	6.39088i	0.369950	−	0.252228i
$643$	30.7837	−	14.8247i	1.21399	−	0.584627i	0.286359	−	0.958122i	$-0.407555\pi$
$643$	30.7837	−	14.8247i	1.21399	−	0.584627i	0.927632	+	0.373495i	$0.121841\pi$
$644$	−22.7556			−0.896697
$645$	12.8586	+	5.75757i	0.506306	+	0.226704i
$646$	7.42072			0.291964
$647$	−21.0822	+	10.1526i	−0.828826	+	0.399142i	−0.799675	−	0.600433i	$-0.794995\pi$
$647$	−21.0822	+	10.1526i	−0.828826	+	0.399142i	−0.0291514	+	0.999575i	$0.509281\pi$
$648$	9.28405	−	6.32976i	0.364712	−	0.248656i
$649$	−11.7874	+	14.7809i	−0.462694	+	0.580200i
$650$	5.01848	+	4.65647i	0.196841	+	0.182642i
$651$	−12.9700	+	22.4646i	−0.508333	+	0.880459i
$652$	−5.23728	−	9.07124i	−0.205108	−	0.355257i
$653$	2.39180	−	10.4791i	0.0935982	−	0.410081i	−0.906324	−	0.422584i	$-0.861123\pi$
$653$	2.39180	−	10.4791i	0.0935982	−	0.410081i	0.999922	+	0.0125037i	$0.00398015\pi$
$654$	−7.58276	+	19.3206i	−0.296509	+	0.755494i
$655$	8.90586	+	2.74710i	0.347981	+	0.107338i
$656$	3.25772	+	4.08506i	0.127193	+	0.159495i
$657$	−0.374302	+	4.99472i	−0.0146029	+	0.194863i
$658$	−28.5103	+	8.79427i	−1.11145	+	0.342836i
$659$	10.7320	+	7.31696i	0.418060	+	0.285028i	0.754024	−	0.656846i	$-0.228110\pi$
$659$	10.7320	+	7.31696i	0.418060	+	0.285028i	−0.335965	+	0.941874i	$0.609062\pi$
$660$	10.2515	+	1.54516i	0.399039	+	0.0601455i
$661$	−4.68284	−	20.5169i	−0.182141	−	0.798013i	−0.980609	−	0.195975i	$-0.937213\pi$
$661$	−4.68284	−	20.5169i	−0.182141	−	0.798013i	0.798468	−	0.602038i	$-0.205644\pi$
$662$	−0.0224182	+	0.0208010i	−0.000871307	+	0.000808455i
$663$	2.78084	+	37.1078i	0.107999	+	1.44115i
$664$	0.702346	+	1.78955i	0.0272563	+	0.0694480i
$665$	14.2192	−	2.14321i	0.551399	−	0.0831100i
$666$	−0.951470	−	0.458204i	−0.0368687	−	0.0177550i
$667$	−40.9740	−	19.7320i	−1.58652	−	0.764027i
$668$	−13.8089	+	2.08136i	−0.534283	+	0.0805303i
$669$	8.29217	+	21.1281i	0.320594	+	0.816859i
$670$	1.01522	+	13.5472i	0.0392216	+	0.523375i
$671$	−31.0813	+	28.8393i	−1.19988	+	1.11333i
$672$	−2.34382	−	10.2689i	−0.0904147	−	0.396132i
$673$	−4.21815	−	0.635784i	−0.162598	−	0.0245077i	0.0672388	−	0.997737i	$-0.478581\pi$
$673$	−4.21815	−	0.635784i	−0.162598	−	0.0245077i	−0.229837	+	0.973229i	$0.573819\pi$
$674$	0.525627	+	0.358366i	0.0202464	+	0.0138038i
$675$	2.84120	−	0.876394i	0.109358	−	0.0337324i
$676$	2.53094	−	33.7731i	0.0973439	−	1.29896i
$677$	−28.6815	−	35.9655i	−1.10232	−	1.38227i	−0.916668	−	0.399650i	$-0.869132\pi$
$677$	−28.6815	−	35.9655i	−1.10232	−	1.38227i	−0.185652	−	0.982615i	$-0.559440\pi$
$678$	−0.171976	−	0.0530477i	−0.00660471	−	0.00203728i
$679$	11.8072	−	30.0842i	0.453117	−	1.15452i
$680$	0.562959	−	2.46648i	0.0215885	−	0.0945853i
$681$	−18.0755	−	31.3077i	−0.692655	−	1.19971i
$682$	5.94174	−	10.2914i	0.227521	−	0.394078i
$683$	17.1268	+	15.8913i	0.655338	+	0.608065i	0.936109	−	0.351710i	$-0.114400\pi$
$683$	17.1268	+	15.8913i	0.655338	+	0.608065i	−0.280771	+	0.959775i	$0.590590\pi$
$684$	2.95558	−	3.70618i	0.113009	−	0.141709i
$685$	5.34118	−	3.64155i	0.204076	−	0.139137i
$686$	44.3204	−	21.3436i	1.69216	−	0.814902i
$687$	25.5547			0.974972
$688$	−0.308027	+	6.55020i	−0.0117434	+	0.249724i
$689$	35.6082			1.35656
$690$	−8.98509	+	4.32699i	−0.342057	+	0.164726i
$691$	−15.9653	+	10.8850i	−0.607349	+	0.414084i	−0.827567	−	0.561367i	$-0.810276\pi$
$691$	−15.9653	+	10.8850i	−0.607349	+	0.414084i	0.220218	+	0.975451i	$0.429323\pi$
$692$	−1.87840	+	2.35543i	−0.0714059	+	0.0895402i
$693$	28.0252	+	26.0036i	1.06459	+	0.987794i
$694$	−15.6921	+	27.1795i	−0.595664	+	1.03172i
$695$	0.579756	+	1.00417i	0.0219914	+	0.0380902i
$696$	4.68417	−	20.5227i	0.177553	−	0.777911i
$697$	−4.82935	+	12.3050i	−0.182925	+	0.466085i
$698$	−21.5898	−	6.65957i	−0.817186	−	0.252069i
$699$	3.16044	+	3.96307i	0.119539	+	0.149897i
$700$	0.366361	−	4.88875i	0.0138472	−	0.184778i
$701$	−26.0437	+	8.03340i	−0.983655	+	0.303417i	−0.744543	−	0.667574i	$-0.767333\pi$
$701$	−26.0437	+	8.03340i	−0.983655	+	0.303417i	−0.239112	+	0.970992i	$0.576856\pi$
$702$	−16.8183	−	11.4665i	−0.634764	−	0.432775i
$703$	1.89529	+	0.285669i	0.0714821	+	0.0107742i
$704$	1.07374	+	4.70435i	0.0404680	+	0.177302i
$705$	−9.58511	+	8.89369i	−0.360996	+	0.334956i
$706$	0.0789991	+	1.05417i	0.00297317	+	0.0396742i
$707$	−2.63201	−	6.70625i	−0.0989870	−	0.252215i
$708$	8.32377	−	1.25461i	0.312826	−	0.0471510i
$709$	7.46019	+	3.59264i	0.280173	+	0.134924i	0.568694	−	0.822549i	$-0.307449\pi$
$709$	7.46019	+	3.59264i	0.280173	+	0.134924i	−0.288520	+	0.957474i	$0.593163\pi$
$710$	5.79945	+	2.79287i	0.217649	+	0.104814i
$711$	22.4519	−	3.38407i	0.842011	−	0.126913i
$712$	−0.229166	−	0.583907i	−0.00858838	−	0.0218828i
$713$	0.854252	+	11.3992i	0.0319920	+	0.426904i
$714$	19.5341	−	18.1250i	0.731045	−	0.678310i
$715$	−7.35081	−	32.2060i	−0.274905	−	1.20444i
$716$	0.0569802	+	0.00858839i	0.00212945	+	0.000320963i
$717$	7.85093	+	5.35268i	0.293198	+	0.199899i
$718$	−30.6049	+	9.44036i	−1.14216	+	0.352311i
$719$	0.541555	−	7.22655i	0.0201966	−	0.269505i	−0.977959	−	0.208797i	$-0.933045\pi$
$719$	0.541555	−	7.22655i	0.0201966	−	0.269505i	0.998156	−	0.0607078i	$-0.0193358\pi$
$720$	−1.00763	−	1.26353i	−0.0375522	−	0.0470890i
$721$	18.1126	+	5.58701i	0.674550	+	0.208071i
$722$	3.79823	−	9.67772i	0.141355	−	0.360168i
$723$	−12.4783	+	54.6709i	−0.464072	+	2.03323i
$724$	3.48784	+	6.04112i	0.129625	+	0.224517i
$725$	4.89885	−	8.48505i	0.181939	−	0.315127i
$726$	−19.3467	−	17.9511i	−0.718022	−	0.666227i
$727$	−15.6833	+	19.6663i	−0.581662	+	0.729381i	−0.982395	−	0.186813i	$-0.940184\pi$
$727$	−15.6833	+	19.6663i	−0.581662	+	0.729381i	0.400733	+	0.916195i	$0.368755\pi$
$728$	−27.7305	+	18.9063i	−1.02776	+	0.700714i
$729$	−0.905476	+	0.436054i	−0.0335362	+	0.0161502i
$730$	−3.09924			−0.114708
$731$	−14.7409	+	7.61084i	−0.545213	+	0.281497i
$732$	18.8789			0.697783
$733$	−24.6516	+	11.8716i	−0.910527	+	0.438487i	−0.829680	−	0.558240i	$-0.811477\pi$
$733$	−24.6516	+	11.8716i	−0.910527	+	0.438487i	−0.0808477	+	0.996726i	$0.525763\pi$
$734$	3.83845	−	2.61701i	0.141680	−	0.0965957i
$735$	22.8185	−	28.6135i	0.841674	−	1.05543i
$736$	−3.40259	−	3.15714i	−0.125421	−	0.116374i
$737$	32.7766	−	56.7707i	1.20734	−	2.09118i
$738$	4.22209	+	7.31287i	0.155417	+	0.269191i
$739$	−8.04376	+	35.2420i	−0.295894	+	1.29640i	0.580285	+	0.814413i	$0.302941\pi$
$739$	−8.04376	+	35.2420i	−0.295894	+	1.29640i	−0.876180	+	0.481985i	$0.839916\pi$
$740$	0.238732	−	0.608280i	0.00877598	−	0.0223608i
$741$	−41.2268	−	12.7168i	−1.51450	−	0.467163i
$742$	−15.8985	−	19.9361i	−0.583652	−	0.731877i
$743$	2.87352	−	38.3444i	0.105419	−	1.40672i	−0.654185	−	0.756335i	$-0.726988\pi$
$743$	2.87352	−	38.3444i	0.105419	−	1.40672i	0.759604	−	0.650386i	$-0.225393\pi$
$744$	−5.05613	+	1.55961i	−0.185367	+	0.0571781i
$745$	−13.5733	−	9.25415i	−0.497289	−	0.339046i
$746$	8.46519	+	1.27592i	0.309933	+	0.0467148i
$747$	0.691347	+	3.02899i	0.0252951	+	0.110825i
$748$	−8.94885	+	8.30332i	−0.327202	+	0.303600i
$749$	1.93454	+	25.8146i	0.0706864	+	0.943244i
$750$	−0.784941	−	2.00000i	−0.0286620	−	0.0730295i
$751$	−48.7421	+	7.34668i	−1.77862	+	0.268084i	−0.954475	−	0.298291i	$-0.903583\pi$
$751$	−48.7421	+	7.34668i	−1.77862	+	0.268084i	−0.824148	+	0.566375i	$0.808345\pi$
$752$	−5.48320	−	2.64057i	−0.199952	−	0.0962917i
$753$	5.57278	+	2.68371i	0.203083	+	0.0977998i
$754$	−66.3259	+	9.99702i	−2.41545	+	0.364070i
$755$	8.52812	+	21.7293i	0.310370	+	0.790810i
$756$	1.08930	+	14.5357i	0.0396175	+	0.528659i
$757$	39.6770	−	36.8149i	1.44209	−	1.33806i	0.598430	−	0.801175i	$-0.295791\pi$
$757$	39.6770	−	36.8149i	1.44209	−	1.33806i	0.843655	−	0.536885i	$-0.180399\pi$
$758$	1.53136	+	6.70931i	0.0556214	+	0.243693i
$759$	47.5841	+	7.17215i	1.72719	+	0.260332i
$760$	2.42352	+	1.65233i	0.0879102	+	0.0599362i
$761$	47.1973	−	14.5584i	1.71090	−	0.527743i	0.724103	−	0.689692i	$-0.242254\pi$
$761$	47.1973	−	14.5584i	1.71090	−	0.527743i	0.986799	+	0.161949i	$0.0517779\pi$
$762$	−1.41442	+	18.8742i	−0.0512392	+	0.683740i
$763$	−29.5280	−	37.0270i	−1.06899	−	1.34047i
$764$	15.5407	+	4.79366i	0.562241	+	0.173429i
$765$	1.49375	−	3.80600i	0.0540065	−	0.137606i
$766$	2.16061	−	9.46626i	0.0780661	−	0.342030i
$767$	−13.4112	−	23.2288i	−0.484250	−	0.838745i
$768$	1.07426	−	1.86067i	0.0387639	−	0.0671411i
$769$	−35.0233	−	32.4969i	−1.26297	−	1.17187i	−0.976909	−	0.213657i	$-0.931463\pi$
$769$	−35.0233	−	32.4969i	−1.26297	−	1.17187i	−0.286064	−	0.958211i	$-0.592347\pi$
$770$	−14.7493	+	18.4950i	−0.531527	+	0.666514i
$771$	−38.4737	+	26.2310i	−1.38560	+	0.944685i
$772$	−6.91082	+	3.32808i	−0.248726	+	0.119780i
$773$	−3.93726			−0.141614			−0.0708068	−	0.997490i	$-0.522557\pi$
$773$	−3.93726			−0.141614			−0.0708068	+	0.997490i	$0.522557\pi$
$774$	−2.06999	+	10.3934i	−0.0744043	+	0.373585i
$775$	−2.46273			−0.0884638
$776$	5.93940	−	2.86027i	0.213212	−	0.102678i
$777$	5.68684	−	3.87722i	0.204014	−	0.139095i
$778$	−11.9278	+	14.9570i	−0.427633	+	0.536235i
$779$	−11.2347	−	10.4242i	−0.402524	−	0.373487i
$780$	−7.35437	+	12.7381i	−0.263329	+	0.456099i
$781$	−15.5301	−	26.8989i	−0.555710	−	0.962518i
$782$	2.61307	−	11.4486i	0.0934431	−	0.409401i
$783$	−10.6429	+	27.1177i	−0.380347	+	0.969107i
$784$	16.2774	+	5.02090i	0.581334	+	0.179318i
$785$	11.4011	+	14.2965i	0.406922	+	0.510264i
$786$	−1.49639	+	19.9680i	−0.0533746	+	0.712235i
$787$	8.93363	−	2.75566i	0.318449	−	0.0982286i	−0.131410	−	0.991328i	$-0.541950\pi$
$787$	8.93363	−	2.75566i	0.318449	−	0.0982286i	0.449859	+	0.893100i	$0.351474\pi$
$788$	−2.29529	−	1.56491i	−0.0817665	−	0.0557475i
$789$	28.7583	+	4.33462i	1.02382	+	0.154317i
$790$	3.12629	+	13.6972i	0.111228	+	0.487323i
$791$	0.301034	−	0.279319i	0.0107035	−	0.00993143i
$792$	0.582767	+	7.77649i	0.0207077	+	0.276325i
$793$	−21.9772	−	55.9971i	−0.780435	−	1.98852i
$794$	3.33653	−	0.502901i	0.118409	−	0.0178473i
$795$	−10.0684	−	4.84869i	−0.357090	−	0.171965i
$796$	14.2152	+	6.84570i	0.503846	+	0.242639i
$797$	10.0795	−	1.51924i	0.357033	−	0.0538141i	0.0319232	−	0.999490i	$-0.489837\pi$
$797$	10.0795	−	1.51924i	0.357033	−	0.0538141i	0.325110	+	0.945676i	$0.394599\pi$
$798$	11.2873	+	28.7597i	0.399567	+	1.01808i
$799$	−1.15060	−	15.3537i	−0.0407054	−	0.543176i
$800$	0.733052	−	0.680173i	0.0259173	−	0.0240477i
$801$	−0.225578	−	0.988320i	−0.00797039	−	0.0349206i
$802$	38.7435	+	5.83965i	1.36808	+	0.206205i
$803$	12.3563	+	8.42436i	0.436043	+	0.297289i
$804$	−27.8913	+	8.60333i	−0.983650	+	0.303416i
$805$	1.70053	−	22.6920i	0.0599358	−	0.799787i
$806$	10.5119	+	13.1816i	0.370267	+	0.464300i
$807$	−53.3237	−	16.4482i	−1.87708	−	0.579004i
$808$	0.536875	−	1.36794i	0.0188872	−	0.0481238i
$809$	1.80301	−	7.89949i	0.0633903	−	0.277731i	−0.933292	−	0.359118i	$-0.883078\pi$
$809$	1.80301	−	7.89949i	0.0633903	−	0.277731i	0.996683	+	0.0813865i	$0.0259348\pi$
$810$	5.61826	+	9.73111i	0.197405	+	0.341916i
$811$	21.5546	−	37.3336i	0.756883	−	1.31096i	−0.187550	−	0.982255i	$-0.560055\pi$
$811$	21.5546	−	37.3336i	0.756883	−	1.31096i	0.944433	−	0.328704i	$-0.106612\pi$
$812$	35.2105	+	32.6706i	1.23565	+	1.14651i
$813$	−1.92695	+	2.41632i	−0.0675812	+	0.0847442i
$814$	−2.60523	+	1.77621i	−0.0913131	+	0.0622562i
$815$	9.43726	−	4.54474i	0.330573	−	0.159195i
$816$	5.43556			0.190283
$817$	−1.97014	−	19.1331i	−0.0689263	−	0.669381i
$818$	−8.40408			−0.293842
$819$	−48.8690	+	23.5341i	−1.70762	+	0.822347i
$820$	−4.31708	+	2.94334i	−0.150759	+	0.102786i
$821$	−25.2485	+	31.6607i	−0.881180	+	1.10496i	0.112604	+	0.993640i	$0.464081\pi$
$821$	−25.2485	+	31.6607i	−0.881180	+	1.10496i	−0.993784	+	0.111324i	$0.964491\pi$
$822$	10.1813	+	9.44689i	0.355115	+	0.329498i
$823$	−21.8452	+	37.8370i	−0.761477	+	1.31892i	0.180613	+	0.983554i	$0.442192\pi$
$823$	−21.8452	+	37.8370i	−0.761477	+	1.31892i	−0.942089	+	0.335362i	$0.891141\pi$
$824$	1.93319	+	3.34838i	0.0673457	+	0.116646i
$825$	−2.30694	+	10.1074i	−0.0803173	+	0.351893i
$826$	−7.01734	+	17.8799i	−0.244164	+	0.622121i
$827$	19.8585	+	6.12554i	0.690548	+	0.213006i	0.620115	−	0.784511i	$-0.287086\pi$
$827$	19.8585	+	6.12554i	0.690548	+	0.213006i	0.0704328	+	0.997517i	$0.477562\pi$
$828$	−4.67709	−	5.86489i	−0.162540	−	0.203819i
$829$	−0.630656	+	8.41551i	−0.0219036	+	0.292283i	0.975485	+	0.220065i	$0.0706268\pi$
$829$	−0.630656	+	8.41551i	−0.0219036	+	0.292283i	−0.997389	+	0.0722182i	$0.976992\pi$
$830$	−1.83703	+	0.566649i	−0.0637643	+	0.0196687i
$831$	0.606173	+	0.413282i	0.0210279	+	0.0143366i
$832$	−6.76954	−	1.02034i	−0.234692	−	0.0353741i
$833$	9.58951	+	42.0144i	0.332257	+	1.45571i
$834$	−1.82620	+	1.69447i	−0.0632361	+	0.0586745i
$835$	−1.04360	−	13.9259i	−0.0361152	−	0.481924i
$836$	−5.17090	−	13.1752i	−0.178839	−	0.455675i
$837$	7.24063	−	1.09135i	0.250273	−	0.0377226i
$838$	−19.1576	−	9.22580i	−0.661787	−	0.318700i
$839$	26.1623	+	12.5991i	0.903222	+	0.434969i	0.827052	−	0.562126i	$-0.190016\pi$
$839$	26.1623	+	12.5991i	0.903222	+	0.434969i	0.0761705	+	0.997095i	$0.475731\pi$
$840$	10.4154	−	1.56986i	0.359364	−	0.0541655i
$841$	24.4759	+	62.3637i	0.843998	+	2.15047i
$842$	0.116701	+	1.55727i	0.00402178	+	0.0536670i
$843$	11.5609	−	10.7270i	0.398180	−	0.369457i
$844$	5.37928	+	23.5682i	0.185162	+	0.811249i
$845$	33.4895	+	5.04773i	1.15207	+	0.173647i
$846$	−8.12647	−	5.54054i	−0.279394	−	0.190488i
$847$	57.5455	−	17.7504i	1.97729	−	0.609912i
$848$	0.388694	−	5.18676i	0.0133478	−	0.178114i
$849$	3.29953	+	4.13748i	0.113240	+	0.141998i
$850$	2.41752	+	0.745705i	0.0829201	+	0.0255775i
$851$	1.10812	−	2.82344i	0.0379858	−	0.0967861i
$852$	−3.07741	+	13.4830i	−0.105430	+	0.461921i
$853$	7.34269	+	12.7179i	0.251409	+	0.435453i	0.963914	−	0.266214i	$-0.0857728\pi$
$853$	7.34269	+	12.7179i	0.251409	+	0.435453i	−0.712505	+	0.701667i	$0.752439\pi$
$854$	−21.5388	+	37.3063i	−0.737043	+	1.27660i
$855$	3.47494	+	3.22427i	0.118841	+	0.110268i
$856$	−3.29228	+	4.12838i	−0.112528	+	0.141105i
$857$	25.1525	−	17.1487i	0.859191	−	0.585787i	−0.0515934	−	0.998668i	$-0.516430\pi$
$857$	25.1525	−	17.1487i	0.859191	−	0.585787i	0.910785	+	0.412881i	$0.135478\pi$
$858$	63.9458	−	30.7947i	2.18307	−	1.05131i
$859$	17.7423			0.605358			0.302679	−	0.953093i	$-0.402119\pi$
$859$	17.7423			0.605358			0.302679	+	0.953093i	$0.402119\pi$
$860$	−6.50887	−	0.796663i	−0.221950	−	0.0271660i
$861$	−55.0348			−1.87558
$862$	0.549741	−	0.264741i	0.0187242	−	0.00901712i
$863$	9.87916	−	6.73550i	0.336291	−	0.229279i	−0.383386	−	0.923588i	$-0.625242\pi$
$863$	9.87916	−	6.73550i	0.336291	−	0.229279i	0.719677	+	0.694309i	$0.244290\pi$
$864$	−1.85382	+	2.32462i	−0.0630682	+	0.0790851i
$865$	−2.20847	−	2.04917i	−0.0750904	−	0.0696737i
$866$	−6.96112	+	12.0570i	−0.236548	+	0.409714i
$867$	−11.3866	−	19.7222i	−0.386710	−	0.669802i
$868$	2.68659	−	11.7707i	0.0911888	−	0.399524i
$869$	24.7676	−	63.1068i	0.840183	−	2.14075i
$870$	20.1153	+	6.20474i	0.681972	+	0.210360i
$871$	57.9873	+	72.7138i	1.96483	+	2.46381i
$872$	0.721915	−	9.63329i	0.0244471	−	0.326224i
$873$	10.1805	−	3.14027i	0.344558	−	0.106282i
$874$	11.2492	+	7.66955i	0.380509	+	0.259426i
$875$	4.84771	+	0.730674i	0.163882	+	0.0247013i
$876$	−1.48171	−	6.49181i	−0.0500624	−	0.219338i
$877$	11.7918	−	10.9412i	0.398181	−	0.369458i	−0.455516	−	0.890227i	$-0.650545\pi$
$877$	11.7918	−	10.9412i	0.398181	−	0.369458i	0.853697	+	0.520770i	$0.174355\pi$
$878$	0.926713	+	12.3661i	0.0312751	+	0.417337i
$879$	18.3624	+	46.7866i	0.619348	+	1.57807i
$880$	−4.77144	+	0.719178i	−0.160845	+	0.0242435i
$881$	−33.0264	−	15.9047i	−1.11269	−	0.535842i	−0.215062	−	0.976600i	$-0.568995\pi$
$881$	−33.0264	−	15.9047i	−1.11269	−	0.535842i	−0.897626	+	0.440758i	$0.854710\pi$
$882$	24.8029	+	11.9444i	0.835157	+	0.402190i
$883$	28.8808	−	4.35308i	0.971916	−	0.146493i	0.356156	−	0.934426i	$-0.384087\pi$
$883$	28.8808	−	4.35308i	0.971916	−	0.146493i	0.615760	+	0.787934i	$0.288849\pi$
$884$	−6.32763	−	16.1225i	−0.212821	−	0.542260i
$885$	0.629062	+	8.39425i	0.0211457	+	0.282170i
$886$	−7.31012	+	6.78280i	−0.245588	+	0.227873i
$887$	11.1187	+	48.7142i	0.373329	+	1.63566i	0.717359	+	0.696704i	$0.245351\pi$
$887$	11.1187	+	48.7142i	0.373329	+	1.63566i	−0.344029	+	0.938959i	$0.611792\pi$
$888$	1.38827	+	0.209248i	0.0465872	+	0.00702189i
$889$	−35.6834	−	24.3285i	−1.19678	−	0.815952i
$890$	0.599399	−	0.184890i	0.0200919	−	0.00619754i
$891$	4.05186	−	54.0683i	0.135742	−	1.81136i
$892$	−6.58659	−	8.25932i	−0.220535	−	0.276543i
$893$	17.0580	+	5.26170i	0.570825	+	0.176076i
$894$	12.8949	−	32.8557i	0.431270	−	1.09886i
$895$	−0.0128225	+	0.0561791i	−0.000428609	+	0.00187786i
$896$	2.45123	+	4.24566i	0.0818899	+	0.141837i
$897$	−34.1366	+	59.1263i	−1.13979	+	1.97417i
$898$	−3.05714	−	2.83662i	−0.102018	−	0.0946591i
$899$	15.0442	−	18.8648i	0.501753	−	0.629178i
$900$	1.33530	−	0.910390i	0.0445099	−	0.0303463i
$901$	11.8557	−	5.70942i	0.394971	−	0.190208i
$902$	25.2123			0.839477
$903$	−51.9183	−	45.5533i	−1.72773	−	1.51592i
$904$	0.0837658			0.00278601
$905$	−6.28488	+	3.02664i	−0.208916	+	0.100609i
$906$	−41.4380	+	28.2519i	−1.37668	+	0.938608i
$907$	−16.0538	+	20.1309i	−0.533058	+	0.668434i	−0.973324	−	0.229433i	$-0.926313\pi$
$907$	−16.0538	+	20.1309i	−0.533058	+	0.668434i	0.440266	+	0.897867i	$0.354884\pi$
$908$	12.3344	+	11.4446i	0.409331	+	0.379803i
$909$	1.18746	−	2.05673i	0.0393854	−	0.0682175i
$910$	−16.7811	−	29.0658i	−0.556289	−	0.963521i
$911$	−1.63497	+	7.16328i	−0.0541690	+	0.237330i	−0.994764	−	0.102201i	$-0.967411\pi$
$911$	−1.63497	+	7.16328i	−0.0541690	+	0.237330i	0.940595	+	0.339531i	$0.110269\pi$
$912$	−2.30238	+	5.86637i	−0.0762395	+	0.194255i
$913$	8.86428	+	2.73427i	0.293365	+	0.0904911i
$914$	8.46165	+	10.6106i	0.279886	+	0.350967i
$915$	−1.41082	+	18.8261i	−0.0466403	+	0.622371i
$916$	−11.3657	+	3.50585i	−0.375533	+	0.115837i
$917$	−37.7513	−	25.7384i	−1.24666	−	0.849957i
$918$	−7.43817	−	1.12112i	−0.245496	−	0.0370026i
$919$	−5.53640	−	24.2565i	−0.182629	−	0.800150i	−0.980373	−	0.197153i	$-0.936830\pi$
$919$	−5.53640	−	24.2565i	−0.182629	−	0.800150i	0.797744	−	0.602997i	$-0.206027\pi$
$920$	3.40259	−	3.15714i	0.112180	−	0.104088i
$921$	3.14751	+	42.0005i	0.103714	+	1.38396i
$922$	9.12881	+	23.2598i	0.300641	+	0.766021i
$923$	43.5749	−	6.56785i	1.43428	−	0.216184i
$924$	−45.7920	−	22.0523i	−1.50645	−	0.725466i
$925$	0.588739	+	0.283522i	0.0193576	+	0.00932213i
$926$	24.0433	−	3.62394i	0.790111	−	0.119090i
$927$	2.28283	+	5.81657i	0.0749781	+	0.191041i
$928$	0.732182	+	9.77030i	0.0240351	+	0.320726i
$929$	−2.32153	+	2.15406i	−0.0761669	+	0.0706726i	−0.717338	−	0.696726i	$-0.754640\pi$
$929$	−2.32153	+	2.15406i	−0.0761669	+	0.0706726i	0.641171	+	0.767398i	$0.278449\pi$
$930$	−1.17740	−	5.15854i	−0.0386086	−	0.169155i
$931$	−49.4063	−	7.44680i	−1.61923	−	0.244059i
$932$	−1.94933	−	1.32903i	−0.0638525	−	0.0435339i
$933$	−41.1774	+	12.7015i	−1.34809	+	0.415830i
$934$	0.0534431	−	0.713149i	0.00174871	−	0.0233349i
$935$	−7.61136	−	9.54434i	−0.248918	−	0.312133i
$936$	−10.5724	−	3.26115i	−0.345569	−	0.106594i
$937$	2.17534	−	5.54269i	0.0710654	−	0.181072i	−0.890928	−	0.454145i	$-0.849945\pi$
$937$	2.17534	−	5.54269i	0.0710654	−	0.181072i	0.961993	+	0.273073i	$0.0880401\pi$
$938$	14.8201	−	64.9312i	0.483894	−	2.12008i
$939$	11.0976	+	19.2216i	0.362156	+	0.627273i
$940$	3.04295	−	5.27054i	0.0992500	−	0.171906i
$941$	17.9517	+	16.6568i	0.585209	+	0.542995i	0.916242	−	0.400624i	$-0.131207\pi$
$941$	17.9517	+	16.6568i	0.585209	+	0.542995i	−0.331033	+	0.943619i	$0.607397\pi$
$942$	−24.4954	+	30.7162i	−0.798103	+	1.00079i
$943$	−20.0385	+	13.6620i	−0.652543	+	0.444896i
$944$	−3.52996	+	1.69994i	−0.114890	+	0.0553283i
$945$	−14.5765			−0.474173
$946$	23.7845	+	20.8686i	0.773302	+	0.678498i
$947$	20.3127			0.660073			0.330037	−	0.943968i	$-0.392939\pi$
$947$	20.3127			0.660073			0.330037	+	0.943968i	$0.392939\pi$
$948$	−27.1961	+	13.0969i	−0.883287	+	0.425369i
$949$	−17.5306	+	11.9522i	−0.569068	+	0.387984i
$950$	−1.82882	+	2.29326i	−0.0593346	+	0.0744032i
$951$	−0.159670	−	0.148152i	−0.00517764	−	0.00480415i
$952$	−6.20140	+	10.7411i	−0.200989	+	0.348122i
$953$	−14.1530	−	24.5138i	−0.458462	−	0.794080i	0.540418	−	0.841397i	$-0.318266\pi$
$953$	−14.1530	−	24.5138i	−0.458462	−	0.794080i	−0.998880	+	0.0473171i	$0.984933\pi$
$954$	1.87049	−	8.19516i	0.0605594	−	0.265328i
$955$	−5.94161	+	15.1390i	−0.192266	+	0.489886i
$956$	−4.22611	−	1.30358i	−0.136682	−	0.0421609i
$957$	−63.3313	−	79.4150i	−2.04721	−	2.56712i
$958$	2.64862	−	35.3434i	0.0855730	−	1.14189i
$959$	−30.2837	+	9.34129i	−0.977913	+	0.301646i
$960$	1.77519	+	1.21030i	0.0572939	+	0.0390623i
$961$	24.6565	+	3.71637i	0.795370	+	0.119883i
$962$	−0.995453	−	4.36137i	−0.0320947	−	0.140616i
$963$	−6.25567	+	5.80442i	−0.201586	+	0.187045i
$964$	−1.95048	−	26.0273i	−0.0628206	−	0.838283i
$965$	−2.80233	−	7.14021i	−0.0902100	−	0.229851i
$966$	48.3447	−	7.28679i	1.55547	−	0.234449i
$967$	12.2449	+	5.89683i	0.393769	+	0.189629i	0.620282	−	0.784379i	$-0.287018\pi$
$967$	12.2449	+	5.89683i	0.393769	+	0.189629i	−0.226513	+	0.974008i	$0.572732\pi$
$968$	11.0673	+	5.32975i	0.355718	+	0.171305i
$969$	−15.7655	+	2.37626i	−0.506459	+	0.0763365i
$970$	2.40842	+	6.13654i	0.0773296	+	0.197033i
$971$	−2.28336	−	30.4693i	−0.0732764	−	0.977805i	−0.905770	−	0.423770i	$-0.860706\pi$
$971$	−2.28336	−	30.4693i	−0.0732764	−	0.977805i	0.832493	−	0.554035i	$-0.186913\pi$
$972$	−11.1585	+	10.3535i	−0.357908	+	0.332090i
$973$	−1.26491	−	5.54194i	−0.0405512	−	0.177666i
$974$	12.3723	+	1.86483i	0.396435	+	0.0597529i
$975$	−12.1529	−	8.28573i	−0.389205	−	0.265356i
$976$	−8.39656	+	2.59000i	−0.268767	+	0.0829038i
$977$	2.31875	−	30.9415i	0.0741833	−	0.989908i	−0.828608	−	0.559829i	$-0.810867\pi$
$977$	2.31875	−	30.9415i	0.0741833	−	0.989908i	0.902791	−	0.430079i	$-0.141514\pi$
$978$	14.0315	+	17.5949i	0.448678	+	0.562624i
$979$	−2.89230	−	0.892157i	−0.0924383	−	0.0285134i
$980$	−6.22327	+	15.8566i	−0.198795	+	0.506521i
$981$	3.47403	−	15.2207i	0.110917	−	0.485960i
$982$	−5.80224	−	10.0498i	−0.185157	−	0.320701i
$983$	−19.3709	+	33.5514i	−0.617837	+	1.07012i	0.372043	+	0.928216i	$0.378657\pi$
$983$	−19.3709	+	33.5514i	−0.617837	+	1.07012i	−0.989880	+	0.141909i	$0.954676\pi$
$984$	−8.22921	−	7.63559i	−0.262338	−	0.243414i
$985$	1.73206	−	2.17193i	0.0551879	−	0.0692035i
$986$	−20.4802	+	13.9632i	−0.652224	+	0.444679i
$987$	57.7546	−	27.8131i	1.83835	−	0.885302i
$988$	20.0806			0.638850
$989$	−30.2120	−	3.69785i	−0.960686	−	0.117585i
$990$	−7.79829			−0.247846
$991$	4.89017	−	2.35498i	0.155341	−	0.0748084i	−0.354598	−	0.935019i	$-0.615382\pi$
$991$	4.89017	−	2.35498i	0.155341	−	0.0748084i	0.509939	+	0.860211i	$0.329668\pi$
$992$	2.03480	−	1.38730i	0.0646050	−	0.0440469i
$993$	0.0409669	−	0.0513709i	0.00130005	−	0.00163021i
$994$	−23.1327	−	21.4640i	−0.733724	−	0.680796i
$995$	−7.88886	+	13.6639i	−0.250094	+	0.433175i
$996$	−2.06520	−	3.57702i	−0.0654382	−	0.113342i
$997$	2.54799	−	11.1635i	0.0806955	−	0.353550i	−0.918420	−	0.395608i	$-0.870534\pi$
$997$	2.54799	−	11.1635i	0.0806955	−	0.353550i	0.999115	+	0.0420573i	$0.0133912\pi$
$998$	−9.13458	+	23.2745i	−0.289150	+	0.736743i
$999$	−1.85658	−	0.572681i	−0.0587397	−	0.0181188i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	430.2.q.d.31.2	✓	60
43.25	even	21	inner	430.2.q.d.111.2	yes	60

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
430.2.q.d.31.2	✓	60	1.1	even	1	trivial
430.2.q.d.111.2	yes	60	43.25	even	21	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:	\( N \)	\(=\)	\( 430 = 2 \cdot 5 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	430.q (of order \(21\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.900969 - 0.433884i) q^{2} +(-1.77519 + 1.21030i) q^{3} +(0.623490 - 0.781831i) q^{4} +(0.733052 + 0.680173i) q^{5} +(-1.07426 + 1.86067i) q^{6} +(-2.45123 - 4.24566i) q^{7} +(0.222521 - 0.974928i) q^{8} +(0.590433 - 1.50440i) q^{9} +O(q^{10})\)	\(q+(0.900969 - 0.433884i) q^{2} +(-1.77519 + 1.21030i) q^{3} +(0.623490 - 0.781831i) q^{4} +(0.733052 + 0.680173i) q^{5} +(-1.07426 + 1.86067i) q^{6} +(-2.45123 - 4.24566i) q^{7} +(0.222521 - 0.974928i) q^{8} +(0.590433 - 1.50440i) q^{9} +(0.955573 + 0.294755i) q^{10} +(-3.00854 - 3.77260i) q^{11} +(-0.160559 + 2.14251i) q^{12} +(6.54186 - 2.01790i) q^{13} +(-4.05060 - 2.76166i) q^{14} +(-2.12452 - 0.320220i) q^{15} +(-0.222521 - 0.974928i) q^{16} +(1.85456 - 1.72078i) q^{17} +(-0.120772 - 1.61160i) q^{18} +(1.07162 + 2.73043i) q^{19} +(0.988831 - 0.149042i) q^{20} +(9.48992 + 4.57010i) q^{21} +(-4.34747 - 2.09363i) q^{22} +(4.58983 - 0.691805i) q^{23} +(0.784941 + 2.00000i) q^{24} +(0.0747301 + 0.997204i) q^{25} +(5.01848 - 4.65647i) q^{26} +(-0.661621 - 2.89875i) q^{27} +(-4.84771 - 0.730674i) q^{28} +(-8.09523 - 5.51924i) q^{29} +(-2.05306 + 0.633286i) q^{30} +(-0.184040 + 2.45584i) q^{31} +(-0.623490 - 0.781831i) q^{32} +(9.90670 + 3.05581i) q^{33} +(0.924281 - 2.35503i) q^{34} +(1.09090 - 4.77955i) q^{35} +(-0.808058 - 1.39960i) q^{36} +(0.326725 - 0.565905i) q^{37} +(2.15018 + 1.99508i) q^{38} +(-9.17075 + 11.4998i) q^{39} +(0.826239 - 0.563320i) q^{40} +(-4.70755 + 2.26704i) q^{41} +10.5330 q^{42} +(-6.31743 - 1.75786i) q^{43} -4.82533 q^{44} +(1.45607 - 0.701206i) q^{45} +(3.83513 - 2.61475i) q^{46} +(3.79449 - 4.75814i) q^{47} +(1.57497 + 1.46136i) q^{48} +(-8.51707 + 14.7520i) q^{49} +(0.500000 + 0.866025i) q^{50} +(-1.20953 + 5.29928i) q^{51} +(2.50113 - 6.37277i) q^{52} +(4.97023 + 1.53311i) q^{53} +(-1.85382 - 2.32462i) q^{54} +(0.360597 - 4.81184i) q^{55} +(-4.68466 + 1.44503i) q^{56} +(-5.20696 - 3.55005i) q^{57} +(-9.68826 - 1.46027i) q^{58} +(-0.871828 - 3.81973i) q^{59} +(-1.57497 + 1.46136i) q^{60} +(-0.656649 - 8.76237i) q^{61} +(0.899735 + 2.29249i) q^{62} +(-7.83445 + 1.18085i) q^{63} +(-0.900969 - 0.433884i) q^{64} +(6.16804 + 2.97037i) q^{65} +(10.2515 - 1.54516i) q^{66} +(4.96324 + 12.6461i) q^{67} +(-0.189061 - 2.52284i) q^{68} +(-7.31050 + 6.78316i) q^{69} +(-1.09090 - 4.77955i) q^{70} +(6.36501 + 0.959370i) q^{71} +(-1.33530 - 0.910390i) q^{72} +(-2.96155 + 0.913516i) q^{73} +(0.0488324 - 0.651624i) q^{74} +(-1.33958 - 1.67978i) q^{75} +(2.80288 + 0.864573i) q^{76} +(-8.64251 + 22.0207i) q^{77} +(-3.27300 + 14.3400i) q^{78} +(7.02471 + 12.1671i) q^{79} +(0.500000 - 0.866025i) q^{80} +(8.23695 + 7.64277i) q^{81} +(-3.25772 + 4.08506i) q^{82} +(-1.58839 + 1.08295i) q^{83} +(9.48992 - 4.57010i) q^{84} +2.52991 q^{85} +(-6.45452 + 1.15725i) q^{86} +21.0505 q^{87} +(-4.34747 + 2.09363i) q^{88} +(0.518272 - 0.353352i) q^{89} +(1.00763 - 1.26353i) q^{90} +(-24.6029 - 22.8281i) q^{91} +(2.32084 - 4.01980i) q^{92} +(-2.64560 - 4.58232i) q^{93} +(1.35424 - 5.93331i) q^{94} +(-1.07162 + 2.73043i) q^{95} +(2.05306 + 0.633286i) q^{96} +(4.11019 + 5.15402i) q^{97} +(-1.27296 + 16.9865i) q^{98} +(-7.45183 + 2.29859i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 60 q + 10 q^{2} - q^{3} - 10 q^{4} - 5 q^{5} - 6 q^{6} + q^{7} + 10 q^{8} + 8 q^{9}+O(q^{10}) \) 60 * q + 10 * q^2 - q^3 - 10 * q^4 - 5 * q^5 - 6 * q^6 + q^7 + 10 * q^8 + 8 * q^9	\( 60 q + 10 q^{2} - q^{3} - 10 q^{4} - 5 q^{5} - 6 q^{6} + q^{7} + 10 q^{8} + 8 q^{9} + 5 q^{10} + 3 q^{11} - q^{12} + 13 q^{13} - 15 q^{14} + q^{15} - 10 q^{16} + 38 q^{17} + 6 q^{18} + 17 q^{19} - 5 q^{20} + 4 q^{21} + 11 q^{22} - 8 q^{23} + q^{24} + 5 q^{25} + 29 q^{26} - 16 q^{27} - 6 q^{28} - 41 q^{29} - q^{30} + 15 q^{31} + 10 q^{32} + 63 q^{33} - 10 q^{34} + 2 q^{35} - 48 q^{36} + 7 q^{37} + 25 q^{38} - 64 q^{39} + 5 q^{40} - 22 q^{41} - 60 q^{42} + 6 q^{43} - 4 q^{44} + 30 q^{45} - 20 q^{46} - 13 q^{47} - q^{48} - 93 q^{49} + 30 q^{50} + 18 q^{51} - 15 q^{52} + 71 q^{53} - 5 q^{54} - 16 q^{55} - q^{56} - 94 q^{57} - 22 q^{58} + 20 q^{59} + q^{60} + 91 q^{61} + 69 q^{62} - 50 q^{63} - 10 q^{64} + 5 q^{65} + 14 q^{66} - 26 q^{67} - 18 q^{68} - 94 q^{69} - 2 q^{70} + 20 q^{71} - 36 q^{72} - 56 q^{73} - 7 q^{74} + 2 q^{75} + 38 q^{76} + 41 q^{77} - 13 q^{78} - 46 q^{79} + 30 q^{80} + 39 q^{81} + 8 q^{82} - 115 q^{83} + 4 q^{84} + 6 q^{85} + 29 q^{86} + 20 q^{87} + 11 q^{88} + 30 q^{89} - 16 q^{90} - 53 q^{91} - 8 q^{92} + 16 q^{93} + 41 q^{94} - 17 q^{95} + q^{96} + 113 q^{97} + 2 q^{98} + 139 q^{99}+O(q^{100}) \) 60 * q + 10 * q^2 - q^3 - 10 * q^4 - 5 * q^5 - 6 * q^6 + q^7 + 10 * q^8 + 8 * q^9 + 5 * q^10 + 3 * q^11 - q^12 + 13 * q^13 - 15 * q^14 + q^15 - 10 * q^16 + 38 * q^17 + 6 * q^18 + 17 * q^19 - 5 * q^20 + 4 * q^21 + 11 * q^22 - 8 * q^23 + q^24 + 5 * q^25 + 29 * q^26 - 16 * q^27 - 6 * q^28 - 41 * q^29 - q^30 + 15 * q^31 + 10 * q^32 + 63 * q^33 - 10 * q^34 + 2 * q^35 - 48 * q^36 + 7 * q^37 + 25 * q^38 - 64 * q^39 + 5 * q^40 - 22 * q^41 - 60 * q^42 + 6 * q^43 - 4 * q^44 + 30 * q^45 - 20 * q^46 - 13 * q^47 - q^48 - 93 * q^49 + 30 * q^50 + 18 * q^51 - 15 * q^52 + 71 * q^53 - 5 * q^54 - 16 * q^55 - q^56 - 94 * q^57 - 22 * q^58 + 20 * q^59 + q^60 + 91 * q^61 + 69 * q^62 - 50 * q^63 - 10 * q^64 + 5 * q^65 + 14 * q^66 - 26 * q^67 - 18 * q^68 - 94 * q^69 - 2 * q^70 + 20 * q^71 - 36 * q^72 - 56 * q^73 - 7 * q^74 + 2 * q^75 + 38 * q^76 + 41 * q^77 - 13 * q^78 - 46 * q^79 + 30 * q^80 + 39 * q^81 + 8 * q^82 - 115 * q^83 + 4 * q^84 + 6 * q^85 + 29 * q^86 + 20 * q^87 + 11 * q^88 + 30 * q^89 - 16 * q^90 - 53 * q^91 - 8 * q^92 + 16 * q^93 + 41 * q^94 - 17 * q^95 + q^96 + 113 * q^97 + 2 * q^98 + 139 * q^99

Introduction

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