LMFDB - Embedded newform 483.2.bb.a.26.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(26,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([33, 55, 48]))

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

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

chi := DirichletCharacter("483.26");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.bb (of order $66$, degree $20$, 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:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$1200$
Relative dimension:	$60$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			26.9
Character	$\chi$	$=$	483.26
Dual form			483.2.bb.a.353.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.813318 + 2.03157i) q^{2} +(-0.0960674 - 1.72938i) q^{3} +(-2.01832 - 1.92447i) q^{4} +(0.284667 + 0.822493i) q^{5} +(3.59150 + 1.21137i) q^{6} +(1.39865 - 2.24583i) q^{7} +(1.57009 - 0.717034i) q^{8} +(-2.98154 + 0.332275i) q^{9} +O(q^{10})$	\(q+(-0.813318 + 2.03157i) q^{2} +(-0.0960674 - 1.72938i) q^{3} +(-2.01832 - 1.92447i) q^{4} +(0.284667 + 0.822493i) q^{5} +(3.59150 + 1.21137i) q^{6} +(1.39865 - 2.24583i) q^{7} +(1.57009 - 0.717034i) q^{8} +(-2.98154 + 0.332275i) q^{9} +(-1.90248 - 0.0906261i) q^{10} +(-0.306320 - 0.765151i) q^{11} +(-3.13425 + 3.67533i) q^{12} +(0.0585411 - 0.0910918i) q^{13} +(3.42502 + 4.66804i) q^{14} +(1.39506 - 0.571314i) q^{15} +(-0.0856632 - 1.79829i) q^{16} +(-0.935055 - 3.85435i) q^{17} +(1.74990 - 6.32746i) q^{18} +(-1.34867 - 0.327185i) q^{19} +(1.00831 - 2.20789i) q^{20} +(-4.01827 - 2.20306i) q^{21} +1.80359 q^{22} +(-4.02850 - 2.60215i) q^{23} +(-1.39086 - 2.64640i) q^{24} +(3.33481 - 2.62252i) q^{25} +(0.137447 + 0.193017i) q^{26} +(0.861060 + 5.12431i) q^{27} +(-7.14496 + 1.84115i) q^{28} +(1.59524 - 5.43289i) q^{29} +(0.0260386 + 3.29882i) q^{30} +(-3.93180 - 2.79982i) q^{31} +(6.98530 + 2.41763i) q^{32} +(-1.29381 + 0.603252i) q^{33} +(8.59088 + 1.23518i) q^{34} +(2.24533 + 0.511067i) q^{35} +(6.65716 + 5.06724i) q^{36} +(9.25772 - 1.78428i) q^{37} +(1.76160 - 2.47382i) q^{38} +(-0.163157 - 0.0924892i) q^{39} +(1.03671 + 1.08727i) q^{40} +(5.70941 - 6.58901i) q^{41} +(7.74380 - 6.37162i) q^{42} +(-0.144722 + 0.316897i) q^{43} +(-0.854254 + 2.13382i) q^{44} +(-1.12204 - 2.35771i) q^{45} +(8.56291 - 6.06780i) q^{46} +(-5.27961 + 9.14455i) q^{47} +(-3.10171 + 0.320902i) q^{48} +(-3.08753 - 6.28229i) q^{49} +(2.61558 + 8.90784i) q^{50} +(-6.57582 + 1.98735i) q^{51} +(-0.293458 + 0.0711921i) q^{52} +(1.34982 - 2.61829i) q^{53} +(-11.1107 - 2.41839i) q^{54} +(0.542132 - 0.469760i) q^{55} +(0.585667 - 4.52903i) q^{56} +(-0.436265 + 2.36381i) q^{57} +(9.73986 + 7.65951i) q^{58} +(-0.310873 + 6.52602i) q^{59} +(-3.91515 - 1.53165i) q^{60} +(0.217552 - 2.27831i) q^{61} +(8.88584 - 5.71058i) q^{62} +(-3.42391 + 7.16078i) q^{63} +(-8.23493 + 9.50361i) q^{64} +(0.0915871 + 0.0222188i) q^{65} +(-0.173267 - 3.11911i) q^{66} +(3.38009 - 2.65813i) q^{67} +(-5.53032 + 9.57880i) q^{68} +(-4.11312 + 7.21680i) q^{69} +(-2.86444 + 4.14589i) q^{70} +(-5.84911 + 0.840975i) q^{71} +(-4.44302 + 2.65957i) q^{72} +(-6.73524 + 7.06372i) q^{73} +(-3.90458 + 20.2589i) q^{74} +(-4.85571 - 5.51522i) q^{75} +(2.09240 + 3.25584i) q^{76} +(-2.14684 - 0.382237i) q^{77} +(0.320596 - 0.256241i) q^{78} +(2.77687 - 1.43158i) q^{79} +(1.45470 - 0.582373i) q^{80} +(8.77919 - 1.98138i) q^{81} +(8.74247 + 16.9580i) q^{82} +(-5.10433 - 5.89072i) q^{83} +(3.87046 + 12.1795i) q^{84} +(2.90399 - 1.86628i) q^{85} +(-0.526094 - 0.551752i) q^{86} +(-9.54881 - 2.23686i) q^{87} +(-1.02959 - 0.981710i) q^{88} +(9.03025 + 12.6812i) q^{89} +(5.70243 - 0.361940i) q^{90} +(-0.122698 - 0.258880i) q^{91} +(3.12305 + 13.0047i) q^{92} +(-4.46425 + 7.06857i) q^{93} +(-14.2838 - 18.1633i) q^{94} +(-0.114817 - 1.20241i) q^{95} +(3.50996 - 12.3125i) q^{96} +(-12.7059 - 11.0097i) q^{97} +(15.2741 - 1.16305i) q^{98} +(1.16755 + 2.17955i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9}+O(q^{10}) $ 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9	$ 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9} - 54 q^{10} - 15 q^{12} - 64 q^{15} + 38 q^{16} + 43 q^{18} - 54 q^{19} - 70 q^{21} - 160 q^{22} - 66 q^{24} + 34 q^{25} - 76 q^{28} - 23 q^{30} - 54 q^{31} - 3 q^{33} - 28 q^{36} + 26 q^{37} + 5 q^{39} - 30 q^{40} - 68 q^{42} - 176 q^{43} - 96 q^{45} - 22 q^{46} - 128 q^{49} - 23 q^{51} - 102 q^{52} + 21 q^{54} - 36 q^{57} + 58 q^{58} - 43 q^{60} - 126 q^{61} + 41 q^{63} + 40 q^{64} - 132 q^{66} - 10 q^{67} + 20 q^{70} + 59 q^{72} - 30 q^{73} - 81 q^{75} + 164 q^{78} - 14 q^{79} - 97 q^{81} - 66 q^{82} + 24 q^{84} - 56 q^{85} - 399 q^{87} - 74 q^{88} - 156 q^{91} + 8 q^{93} - 126 q^{94} - 117 q^{96} + 196 q^{99}+O(q^{100}) $ 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9 - 54 * q^10 - 15 * q^12 - 64 * q^15 + 38 * q^16 + 43 * q^18 - 54 * q^19 - 70 * q^21 - 160 * q^22 - 66 * q^24 + 34 * q^25 - 76 * q^28 - 23 * q^30 - 54 * q^31 - 3 * q^33 - 28 * q^36 + 26 * q^37 + 5 * q^39 - 30 * q^40 - 68 * q^42 - 176 * q^43 - 96 * q^45 - 22 * q^46 - 128 * q^49 - 23 * q^51 - 102 * q^52 + 21 * q^54 - 36 * q^57 + 58 * q^58 - 43 * q^60 - 126 * q^61 + 41 * q^63 + 40 * q^64 - 132 * q^66 - 10 * q^67 + 20 * q^70 + 59 * q^72 - 30 * q^73 - 81 * q^75 + 164 * q^78 - 14 * q^79 - 97 * q^81 - 66 * q^82 + 24 * q^84 - 56 * q^85 - 399 * q^87 - 74 * q^88 - 156 * q^91 + 8 * q^93 - 126 * q^94 - 117 * q^96 + 196 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$-1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{8}{11}\right)$

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 $

$2$	−0.813318	+	2.03157i	−0.575103	+	1.43654i	0.300630	+	0.953741i	$0.402803\pi$
$2$	−0.813318	+	2.03157i	−0.575103	+	1.43654i	−0.875733	+	0.482796i	$0.839621\pi$
$3$	−0.0960674	−	1.72938i	−0.0554646	−	0.998461i
$3$	−0.0960674	−	1.72938i	−0.0554646	−	0.998461i
$4$	−2.01832	−	1.92447i	−1.00916	−	0.962233i
$5$	0.284667	+	0.822493i	0.127307	+	0.367830i	0.990585	−	0.136899i	$-0.0437136\pi$
$5$	0.284667	+	0.822493i	0.127307	+	0.367830i	−0.863278	+	0.504729i	$0.831592\pi$
$6$	3.59150	+	1.21137i	1.46622	+	0.494540i
$7$	1.39865	−	2.24583i	0.528641	−	0.848845i
$7$	1.39865	−	2.24583i	0.528641	−	0.848845i
$8$	1.57009	−	0.717034i	0.555109	−	0.253510i
$9$	−2.98154	+	0.332275i	−0.993847	+	0.110758i
$10$	−1.90248	−	0.0906261i	−0.601616	−	0.0286585i
$11$	−0.306320	−	0.765151i	−0.0923590	−	0.230702i	0.874994	−	0.484133i	$-0.160865\pi$
$11$	−0.306320	−	0.765151i	−0.0923590	−	0.230702i	−0.967353	+	0.253431i	$0.918441\pi$
$12$	−3.13425	+	3.67533i	−0.904779	+	1.06098i
$13$	0.0585411	−	0.0910918i	0.0162364	−	0.0252643i	−0.833040	−	0.553212i	$-0.813402\pi$
$13$	0.0585411	−	0.0910918i	0.0162364	−	0.0252643i	0.849277	+	0.527948i	$0.177038\pi$
$14$	3.42502	+	4.66804i	0.915374	+	1.24759i
$15$	1.39506	−	0.571314i	0.360203	−	0.147513i
$16$	−0.0856632	−	1.79829i	−0.0214158	−	0.449573i
$17$	−0.935055	−	3.85435i	−0.226784	−	0.934817i	−0.965417	−	0.260709i	$-0.916044\pi$
$17$	−0.935055	−	3.85435i	−0.226784	−	0.934817i	0.738633	−	0.674108i	$-0.235472\pi$
$18$	1.74990	−	6.32746i	0.412456	−	1.49140i
$19$	−1.34867	−	0.327185i	−0.309407	−	0.0750614i	0.0780489	−	0.996950i	$-0.475131\pi$
$19$	−1.34867	−	0.327185i	−0.309407	−	0.0750614i	−0.387456	+	0.921888i	$0.626646\pi$
$20$	1.00831	−	2.20789i	0.225465	−	0.493699i
$21$	−4.01827	−	2.20306i	−0.876859	−	0.480747i
$22$	1.80359			0.384527
$23$	−4.02850	−	2.60215i	−0.840000	−	0.542587i
$23$	−4.02850	−	2.60215i	−0.840000	−	0.542587i
$24$	−1.39086	−	2.64640i	−0.283908	−	0.540194i
$25$	3.33481	−	2.62252i	0.666961	−	0.524504i
$26$	0.137447	+	0.193017i	0.0269555	+	0.0378537i
$27$	0.861060	+	5.12431i	0.165711	+	0.986174i
$28$	−7.14496	+	1.84115i	−1.35027	+	0.347945i
$29$	1.59524	−	5.43289i	0.296229	−	1.00886i	−0.668082	−	0.744088i	$-0.732884\pi$
$29$	1.59524	−	5.43289i	0.296229	−	1.00886i	0.964310	−	0.264775i	$-0.0852975\pi$
$30$	0.0260386	+	3.29882i	0.00475398	+	0.602279i
$31$	−3.93180	−	2.79982i	−0.706172	−	0.502863i	0.169645	−	0.985505i	$-0.445738\pi$
$31$	−3.93180	−	2.79982i	−0.706172	−	0.502863i	−0.875818	+	0.482642i	$0.839677\pi$
$32$	6.98530	+	2.41763i	1.23484	+	0.427381i
$33$	−1.29381	+	0.603252i	−0.225224	+	0.105013i
$34$	8.59088	+	1.23518i	1.47332	+	0.211832i
$35$	2.24533	+	0.511067i	0.379530	+	0.0863861i
$36$	6.65716	+	5.06724i	1.10953	+	0.844540i
$37$	9.25772	−	1.78428i	1.52196	−	0.293334i	0.641377	−	0.767226i	$-0.278363\pi$
$37$	9.25772	−	1.78428i	1.52196	−	0.293334i	0.880583	+	0.473892i	$0.157151\pi$
$38$	1.76160	−	2.47382i	0.285769	−	0.401307i
$39$	−0.163157	−	0.0924892i	−0.0261260	−	0.0148101i
$40$	1.03671	+	1.08727i	0.163918	+	0.171912i
$41$	5.70941	−	6.58901i	0.891660	−	1.02903i	−0.107732	−	0.994180i	$-0.534359\pi$
$41$	5.70941	−	6.58901i	0.891660	−	1.02903i	0.999393	−	0.0348507i	$-0.0110956\pi$
$42$	7.74380	−	6.37162i	1.19489	−	0.983162i
$43$	−0.144722	+	0.316897i	−0.0220699	+	0.0483264i	−0.920346	−	0.391105i	$-0.872093\pi$
$43$	−0.144722	+	0.316897i	−0.0220699	+	0.0483264i	0.898276	+	0.439432i	$0.144820\pi$
$44$	−0.854254	+	2.13382i	−0.128784	+	0.321686i
$45$	−1.12204	−	2.35771i	−0.167264	−	0.351466i
$46$	8.56291	−	6.06780i	1.26253	−	0.894648i
$47$	−5.27961	+	9.14455i	−0.770110	+	1.33387i	0.167392	+	0.985890i	$0.446465\pi$
$47$	−5.27961	+	9.14455i	−0.770110	+	1.33387i	−0.937502	+	0.347979i	$0.886868\pi$
$48$	−3.10171	+	0.320902i	−0.447693	+	0.0463182i
$49$	−3.08753	−	6.28229i	−0.441076	−	0.897470i
$50$	2.61558	+	8.90784i	0.369898	+	1.25976i
$51$	−6.57582	+	1.98735i	−0.920800	+	0.278284i
$52$	−0.293458	+	0.0711921i	−0.0406953	+	0.00987257i
$53$	1.34982	−	2.61829i	0.185412	−	0.359650i	−0.777749	−	0.628575i	$-0.783638\pi$
$53$	1.34982	−	2.61829i	0.185412	−	0.359650i	0.963161	+	0.268926i	$0.0866686\pi$
$54$	−11.1107	−	2.41839i	−1.51198	−	0.329101i
$55$	0.542132	−	0.469760i	0.0731010	−	0.0633424i
$56$	0.585667	−	4.52903i	0.0782631	−	0.605217i
$57$	−0.436265	+	2.36381i	−0.0577847	+	0.313094i
$58$	9.73986	+	7.65951i	1.27891	+	1.00574i
$59$	−0.310873	+	6.52602i	−0.0404722	+	0.849615i	0.883796	+	0.467872i	$0.154979\pi$
$59$	−0.310873	+	6.52602i	−0.0404722	+	0.849615i	−0.924268	+	0.381743i	$0.875324\pi$
$60$	−3.91515	−	1.53165i	−0.505444	−	0.197735i
$61$	0.217552	−	2.27831i	0.0278547	−	0.291707i	−0.970802	−	0.239884i	$-0.922891\pi$
$61$	0.217552	−	2.27831i	0.0278547	−	0.291707i	0.998656	−	0.0518234i	$-0.0165033\pi$
$62$	8.88584	−	5.71058i	1.12850	−	0.725245i
$63$	−3.42391	+	7.16078i	−0.431372	+	0.902174i
$64$	−8.23493	+	9.50361i	−1.02937	+	1.18795i
$65$	0.0915871	+	0.0222188i	0.0113600	+	0.00275590i
$66$	−0.173267	−	3.11911i	−0.0213276	−	0.383936i
$67$	3.38009	−	2.65813i	0.412943	−	0.324742i	−0.389981	−	0.920823i	$-0.627519\pi$
$67$	3.38009	−	2.65813i	0.412943	−	0.324742i	0.802925	+	0.596081i	$0.203276\pi$
$68$	−5.53032	+	9.57880i	−0.670650	+	1.16160i
$69$	−4.11312	+	7.21680i	−0.495161	+	0.868801i
$70$	−2.86444	+	4.14589i	−0.342366	+	0.495529i
$71$	−5.84911	+	0.840975i	−0.694161	+	0.0998053i	−0.480359	−	0.877072i	$-0.659494\pi$
$71$	−5.84911	+	0.840975i	−0.694161	+	0.0998053i	−0.213802	+	0.976877i	$0.568585\pi$
$72$	−4.44302	+	2.65957i	−0.523615	+	0.313433i
$73$	−6.73524	+	7.06372i	−0.788300	+	0.826746i	−0.988216	−	0.153068i	$-0.951085\pi$
$73$	−6.73524	+	7.06372i	−0.788300	+	0.826746i	0.199915	+	0.979813i	$0.435933\pi$
$74$	−3.90458	+	20.2589i	−0.453899	+	2.35505i
$75$	−4.85571	−	5.51522i	−0.560690	−	0.636843i
$76$	2.09240	+	3.25584i	0.240015	+	0.373471i
$77$	−2.14684	−	0.382237i	−0.244655	−	0.0435600i
$78$	0.320596	−	0.256241i	0.0363004	−	0.0290136i
$79$	2.77687	−	1.43158i	0.312423	−	0.161065i	−0.294883	−	0.955533i	$-0.595281\pi$
$79$	2.77687	−	1.43158i	0.312423	−	0.161065i	0.607306	+	0.794468i	$0.292250\pi$
$80$	1.45470	−	0.582373i	0.162640	−	0.0651112i
$81$	8.77919	−	1.98138i	0.975465	−	0.220154i
$82$	8.74247	+	16.9580i	0.965444	+	1.87270i
$83$	−5.10433	−	5.89072i	−0.560273	−	0.646590i	0.402972	−	0.915212i	$-0.367977\pi$
$83$	−5.10433	−	5.89072i	−0.560273	−	0.646590i	−0.963246	+	0.268622i	$0.913432\pi$
$84$	3.87046	+	12.1795i	0.422302	+	1.32889i
$85$	2.90399	−	1.86628i	0.314982	−	0.202427i
$86$	−0.526094	−	0.551752i	−0.0567302	−	0.0594969i
$87$	−9.54881	−	2.23686i	−1.02374	−	0.239817i
$88$	−1.02959	−	0.981710i	−0.109754	−	0.104651i
$89$	9.03025	+	12.6812i	0.957205	+	1.34421i	0.938832	+	0.344375i	$0.111909\pi$
$89$	9.03025	+	12.6812i	0.957205	+	1.34421i	0.0183723	+	0.999831i	$0.494152\pi$
$90$	5.70243	−	0.361940i	0.601088	−	0.0381518i
$91$	−0.122698	−	0.258880i	−0.0128623	−	0.0271380i
$92$	3.12305	+	13.0047i	0.325600	+	1.35583i
$93$	−4.46425	+	7.06857i	−0.462921	+	0.732976i
$94$	−14.2838	−	18.1633i	−1.47326	−	1.87340i
$95$	−0.114817	−	1.20241i	−0.0117799	−	0.123365i
$96$	3.50996	−	12.3125i	0.358234	−	1.25664i
$97$	−12.7059	−	11.0097i	−1.29009	−	1.11787i	−0.986270	−	0.165140i	$-0.947193\pi$
$97$	−12.7059	−	11.0097i	−1.29009	−	1.11787i	−0.303820	−	0.952730i	$-0.598262\pi$
$98$	15.2741	−	1.16305i	1.54291	−	0.117485i
$99$	1.16755	+	2.17955i	0.117343	+	0.219053i
$100$	−11.7777	−	1.12463i	−1.17777	−	0.112463i
$101$	2.86368	−	8.27405i	0.284946	−	0.823299i	−0.708157	−	0.706055i	$-0.750473\pi$
$101$	2.86368	−	8.27405i	0.284946	−	0.823299i	0.993103	−	0.117243i	$-0.0374058\pi$
$102$	1.31080	−	14.9756i	0.129789	−	1.48280i
$103$	2.39990	−	3.05172i	0.236469	−	0.300695i	−0.653306	−	0.757094i	$-0.726619\pi$
$103$	2.39990	−	3.05172i	0.236469	−	0.300695i	0.889775	+	0.456399i	$0.150861\pi$
$104$	0.0265987	−	0.184998i	0.00260821	−	0.0181405i
$105$	0.668128	−	3.93214i	0.0652026	−	0.383738i
$106$	4.22140	+	4.87176i	0.410019	+	0.473187i
$107$	−0.171587	+	1.79694i	−0.0165879	+	0.173717i	−0.999969	−	0.00783525i	$-0.997506\pi$
$107$	−0.171587	+	1.79694i	−0.0165879	+	0.173717i	0.983381	+	0.181552i	$0.0581120\pi$
$108$	8.12367	−	11.9996i	0.781700	−	1.15466i
$109$	2.05389	+	8.46626i	0.196727	+	0.810921i	0.981551	+	0.191201i	$0.0612384\pi$
$109$	2.05389	+	8.46626i	0.196727	+	0.810921i	−0.784824	+	0.619719i	$0.787246\pi$
$110$	0.513424	+	1.48344i	0.0489531	+	0.141441i
$111$	−3.97507	−	15.8388i	−0.377297	−	1.50335i
$112$	−4.15848	−	2.32280i	−0.392939	−	0.219484i
$113$	−2.81387	+	0.404574i	−0.264707	+	0.0380591i	−0.273390	−	0.961903i	$-0.588145\pi$
$113$	−2.81387	+	0.404574i	−0.264707	+	0.0380591i	0.00868339	+	0.999962i	$0.497236\pi$
$114$	−4.44742	−	2.80883i	−0.416539	−	0.263071i
$115$	0.993470	−	4.05416i	0.0926416	−	0.378052i
$116$	−13.6751	+	7.89534i	−1.26970	+	0.733064i
$117$	−0.144275	+	0.291046i	−0.0133383	+	0.0269072i
$118$	−13.0052	−	5.93929i	−1.19723	−	0.546756i
$119$	−9.96405	−	3.29092i	−0.913403	−	0.301678i
$120$	1.78071	−	1.89732i	0.162556	−	0.173200i
$121$	7.46945	−	7.12211i	0.679041	−	0.647464i
$122$	4.45160	+	2.29496i	0.403029	+	0.207776i
$123$	−11.9434	−	9.24078i	−1.07690	−	0.833213i
$124$	2.54748	+	13.2176i	0.228770	+	1.18697i
$125$	6.76729	+	4.34907i	0.605285	+	0.388993i
$126$	−11.7629	−	12.7799i	−1.04792	−	1.13852i
$127$	−2.34368	+	16.3006i	−0.207968	+	1.44645i	0.571808	+	0.820387i	$0.306242\pi$
$127$	−2.34368	+	16.3006i	−0.207968	+	1.44645i	−0.779776	+	0.626059i	$0.784667\pi$
$128$	−5.83536	−	11.3190i	−0.515778	−	1.00047i
$129$	0.561941	+	0.219837i	0.0494761	+	0.0193556i
$130$	−0.119628	+	0.167995i	−0.0104921	+	0.0147341i
$131$	−0.576970	−	12.1121i	−0.0504101	−	1.05824i	−0.872418	−	0.488761i	$-0.837449\pi$
$131$	−0.576970	−	12.1121i	−0.0504101	−	1.05824i	0.822007	−	0.569477i	$-0.192854\pi$
$132$	3.77227	+	1.27234i	0.328334	+	0.110743i
$133$	−2.62113	+	2.57128i	−0.227281	+	0.222958i
$134$	2.65109	+	9.02879i	0.229019	+	0.779968i
$135$	−3.96959	+	2.16694i	−0.341648	+	0.186501i
$136$	−4.23182	−	5.38119i	−0.362875	−	0.461433i
$137$	−10.6224	+	6.13282i	−0.907530	+	0.523962i	−0.879635	−	0.475648i	$-0.842213\pi$
$137$	−10.6224	+	6.13282i	−0.907530	+	0.523962i	−0.0278941	+	0.999611i	$0.508880\pi$
$138$	−11.3162	−	14.2256i	−0.963296	−	1.21097i
$139$			8.89274i			0.754272i	0.926158	+	0.377136i	$0.123091\pi$
$139$			8.89274i			0.754272i	−0.926158	+	0.377136i	$0.876909\pi$
$140$	−3.54827	−	5.35256i	−0.299884	−	0.452374i
$141$	16.3216	+	8.25198i	1.37453	+	0.694942i
$142$	3.04868	−	12.5668i	0.255840	−	1.05459i
$143$	−0.0876313	−	0.0168896i	−0.00732810	−	0.00141238i
$144$	0.852936	+	5.33322i	0.0710780	+	0.444435i
$145$	4.92263	−	0.234494i	0.408802	−	0.0194736i
$146$	−8.87254	−	19.4282i	−0.734297	−	1.60789i
$147$	−10.5679	+	5.94306i	−0.871624	+	0.490175i
$148$	−22.1189	−	14.2149i	−1.81816	−	1.16846i
$149$	−0.543754	+	0.691439i	−0.0445460	+	0.0566449i	−0.807816	−	0.589435i	$-0.799350\pi$
$149$	−0.543754	+	0.691439i	−0.0445460	+	0.0566449i	0.763270	+	0.646080i	$0.223593\pi$
$150$	15.1538	−	5.37909i	1.23730	−	0.439201i
$151$	−0.599051	+	12.5756i	−0.0487501	+	1.02339i	0.833473	+	0.552560i	$0.186349\pi$
$151$	−0.599051	+	12.5756i	−0.0487501	+	1.02339i	−0.882223	+	0.470831i	$0.843954\pi$
$152$	−2.35214	+	0.453337i	−0.190784	+	0.0367705i
$153$	4.06861	+	11.1812i	0.328928	+	0.903947i
$154$	2.52260	−	4.05057i	0.203277	−	0.326404i
$155$	1.18358	−	4.03089i	0.0950672	−	0.323769i
$156$	0.151310	+	0.500662i	0.0121145	+	0.0400851i
$157$	3.10658	−	3.25809i	0.247932	−	0.260024i	−0.587995	−	0.808865i	$-0.700082\pi$
$157$	3.10658	−	3.25809i	0.247932	−	0.260024i	0.835927	+	0.548841i	$0.184931\pi$
$158$	0.649870	+	6.80574i	0.0517008	+	0.541436i
$159$	−4.65770	−	2.08283i	−0.369380	−	0.165179i
$160$			6.43358i			0.508619i
$161$	−11.4785	+	5.40782i	−0.904631	+	0.426196i
$162$	−3.11495	+	19.4470i	−0.244733	+	1.52790i
$163$	1.10192	+	0.441142i	0.0863091	+	0.0345529i	0.414415	−	0.910088i	$-0.363986\pi$
$163$	1.10192	+	0.441142i	0.0863091	+	0.0345529i	−0.328106	+	0.944641i	$0.606410\pi$
$164$	−24.2038	+	2.31118i	−1.89000	+	0.180473i
$165$	−0.864477	−	0.892426i	−0.0672994	−	0.0694752i
$166$	16.1188	−	5.57879i	1.25106	−	0.432998i
$167$	4.10176	+	1.20439i	0.317404	+	0.0931982i	0.436554	−	0.899678i	$-0.356199\pi$
$167$	4.10176	+	1.20439i	0.317404	+	0.0931982i	−0.119150	+	0.992876i	$0.538017\pi$
$168$	−7.88870	−	0.577751i	−0.608626	−	0.0445745i
$169$	5.39552	+	11.8146i	0.415040	+	0.908812i
$170$	1.42962	+	7.41755i	0.109646	+	0.568900i
$171$	4.12985	+	0.527385i	0.315817	+	0.0403301i
$172$	0.901954	−	0.361088i	0.0687734	−	0.0275327i
$173$	−9.07000	−	7.13273i	−0.689579	−	0.542291i	0.210729	−	0.977545i	$-0.432416\pi$
$173$	−9.07000	−	7.13273i	−0.689579	−	0.542291i	−0.900308	+	0.435253i	$0.856659\pi$
$174$	12.3106	−	17.5798i	0.933261	−	1.33272i
$175$	−1.22550	−	11.1574i	−0.0926395	−	0.843422i
$176$	−1.34972	+	0.616399i	−0.101739	+	0.0464628i
$177$	11.3159	−	0.0893196i	0.850552	−	0.00671367i
$178$	−33.1072	+	8.03173i	−2.48149	+	0.602003i
$179$	1.13239	−	5.87537i	0.0846384	−	0.439146i	−0.914745	−	0.404032i	$-0.867608\pi$
$179$	1.13239	−	5.87537i	0.0846384	−	0.439146i	0.999383	−	0.0351140i	$-0.0111794\pi$
$180$	−2.27269	+	6.91795i	−0.169396	+	0.515633i
$181$	3.35931	+	1.53415i	0.249696	+	0.114032i	0.536331	−	0.844007i	$-0.319810\pi$
$181$	3.35931	+	1.53415i	0.249696	+	0.114032i	−0.286636	+	0.958040i	$0.592537\pi$
$182$	0.625725	−	0.0387186i	0.0463818	−	0.00287001i
$183$	−3.96097	−	0.157360i	−0.292803	−	0.0116324i
$184$	−8.19092	−	1.19703i	−0.603842	−	0.0882465i
$185$	4.10293	+	7.10648i	0.301653	+	0.522479i
$186$	−10.7294	−	14.8184i	−0.786720	−	1.08654i
$187$	−2.66273	+	1.89612i	−0.194718	+	0.138658i
$188$	28.2543	−	8.29622i	2.06066	−	0.605064i
$189$	12.7127	+	5.23334i	0.924711	+	0.380670i
$190$	2.53617	+	0.744687i	0.183993	+	0.0540253i
$191$	1.63004	−	0.0776485i	0.117946	−	0.00561845i	0.0114740	−	0.999934i	$-0.496348\pi$
$191$	1.63004	−	0.0776485i	0.117946	−	0.00561845i	0.106472	+	0.994316i	$0.466045\pi$
$192$	17.2265	+	13.3284i	1.24322	+	0.961892i
$193$	−2.28764	+	6.60970i	−0.164668	+	0.475777i	−0.996903	−	0.0786469i	$-0.974940\pi$
$193$	−2.28764	+	6.60970i	−0.164668	+	0.475777i	0.832235	+	0.554424i	$0.187061\pi$
$194$	32.7010	−	16.8585i	2.34779	−	1.21037i
$195$	0.0296263	−	0.160524i	0.00212158	−	0.0114953i
$196$	−5.85841	+	18.6215i	−0.418458	+	1.33011i
$197$	−9.51236	+	14.8015i	−0.677728	+	1.05456i	0.316637	+	0.948547i	$0.397446\pi$
$197$	−9.51236	+	14.8015i	−0.677728	+	1.05456i	−0.994364	+	0.106018i	$0.966190\pi$
$198$	−5.37749	+	0.599289i	−0.382162	+	0.0425896i
$199$	16.1531	+	11.5026i	1.14506	+	0.815397i	0.985143	−	0.171733i	$-0.0549367\pi$
$199$	16.1531	+	11.5026i	1.14506	+	0.815397i	0.159921	+	0.987130i	$0.448876\pi$
$200$	3.35549	−	6.50875i	0.237269	−	0.460238i
$201$	−4.92164	−	5.59011i	−0.347146	−	0.394296i
$202$	14.4802	+	12.5472i	1.01883	+	0.882817i
$203$	−9.97018	−	11.1814i	−0.699769	−	0.784779i
$204$	17.0967	+	8.64384i	1.19701	+	0.605190i
$205$	7.04470	+	2.82027i	0.492023	+	0.196976i
$206$	4.24790	+	7.35759i	0.295966	+	0.512627i
$207$	12.8758	+	6.41986i	0.894928	+	0.446211i
$208$	−0.168825	−	0.0974709i	−0.0117059	−	0.00675839i
$209$	0.162781	+	1.13216i	0.0112598	+	0.0783134i
$210$	7.44502	+	4.55543i	0.513755	+	0.314354i
$211$	21.1748	−	6.21748i	1.45773	−	0.428029i	0.545643	−	0.838018i	$-0.316286\pi$
$211$	21.1748	−	6.21748i	1.45773	−	0.428029i	0.912091	+	0.409989i	$0.134467\pi$
$212$	−7.76318	+	2.68686i	−0.533178	+	0.184535i
$213$	2.01628	+	10.0346i	0.138153	+	0.687557i
$214$	−3.51105	−	1.81007i	−0.240010	−	0.123734i
$215$	−0.301843	−	0.0288226i	−0.0205856	−	0.00196568i
$216$	5.02624	+	7.42820i	0.341993	+	0.505425i
$217$	−11.7872	+	4.91419i	−0.800165	+	0.333597i
$218$	−18.8703	−	2.71313i	−1.27806	−	0.183757i
$219$	12.8629	+	10.9692i	0.869196	+	0.741232i
$220$	−1.99823	−	0.0951876i	−0.134721	−	0.00641754i
$221$	−0.405839	−	0.140462i	−0.0272997	−	0.00944851i
$222$	35.4105	+	4.80631i	2.37660	+	0.322578i
$223$	6.48120	+	10.0849i	0.434013	+	0.675337i	0.987518	−	0.157509i	$-0.0503462\pi$
$223$	6.48120	+	10.0849i	0.434013	+	0.675337i	−0.553505	+	0.832846i	$0.686710\pi$
$224$	15.1996	−	12.3064i	1.01557	−	0.822254i
$225$	−9.07147	+	8.92723i	−0.604765	+	0.595149i
$226$	1.46665	−	6.04563i	0.0975603	−	0.402149i
$227$	−27.6800	+	2.64312i	−1.83718	+	0.175430i	−0.955222	−	0.295890i	$-0.904384\pi$
$227$	−27.6800	+	2.64312i	−1.83718	+	0.175430i	−0.881962	+	0.471320i	$0.843778\pi$
$228$	5.42959	−	3.93135i	0.359584	−	0.260360i
$229$	1.16185	+	0.670795i	0.0767773	+	0.0443274i	0.537897	−	0.843010i	$-0.319219\pi$
$229$	1.16185	+	0.670795i	0.0767773	+	0.0443274i	−0.461120	+	0.887338i	$0.652552\pi$
$230$	7.42830	+	5.31562i	0.489807	+	0.350502i
$231$	−0.454794	+	3.74943i	−0.0299232	+	0.246694i
$232$	−1.39090	−	9.67394i	−0.0913173	−	0.635125i
$233$	21.7315	−	15.4749i	1.42368	−	1.01380i	0.429844	−	0.902903i	$-0.358569\pi$
$233$	21.7315	−	15.4749i	1.42368	−	1.01380i	0.993832	−	0.110892i	$-0.0353707\pi$
$234$	−0.473938	−	0.529818i	−0.0309823	−	0.0346353i
$235$	−9.02426	−	1.73928i	−0.588678	−	0.113458i
$236$	13.1865	−	12.5733i	0.858371	−	0.818455i
$237$	−2.74252	−	4.66476i	−0.178146	−	0.303008i
$238$	14.7897	−	17.5661i	0.958672	−	1.13864i
$239$	8.86755	−	7.68377i	0.573594	−	0.497022i	−0.319078	−	0.947728i	$-0.603373\pi$
$239$	8.86755	−	7.68377i	0.573594	−	0.497022i	0.892672	+	0.450706i	$0.148828\pi$
$240$	−1.14690	−	2.45978i	−0.0740318	−	0.158778i
$241$	5.64419	+	14.0985i	0.363574	+	0.908165i	0.991526	+	0.129912i	$0.0414695\pi$
$241$	5.64419	+	14.0985i	0.363574	+	0.908165i	−0.627951	+	0.778253i	$0.716106\pi$
$242$	8.39402	+	20.9672i	0.539588	+	1.34783i
$243$	−4.26997	−	14.9922i	−0.273919	−	0.961753i
$244$	−4.82361	+	4.17968i	−0.308800	+	0.267577i
$245$	4.28821	−	4.32784i	0.273964	−	0.276495i
$246$	28.4871	−	16.7482i	1.81627	−	1.06783i
$247$	−0.108757	+	0.103699i	−0.00692003	+	0.00659824i
$248$	−8.18083	−	1.57673i	−0.519483	−	0.100122i
$249$	−9.69695	+	9.39326i	−0.614519	+	0.595274i
$250$	−14.3394	+	10.2110i	−0.906903	+	0.645803i
$251$	−2.35007	−	16.3451i	−0.148335	−	1.03169i	−0.918945	−	0.394386i	$-0.870957\pi$
$251$	−2.35007	−	16.3451i	−0.148335	−	1.03169i	0.770610	−	0.637307i	$-0.219952\pi$
$252$	20.6912	−	7.86357i	1.30343	−	0.495358i
$253$	−0.757030	+	3.87950i	−0.0475941	+	0.243902i
$254$	−31.2097	−	18.0189i	−1.95827	−	1.13061i
$255$	−3.50650	−	4.84283i	−0.219586	−	0.303270i
$256$	2.70511	−	0.258307i	0.169069	−	0.0161442i
$257$	1.50009	−	6.18344i	0.0935727	−	0.385712i	−0.905697	−	0.423926i	$-0.860652\pi$
$257$	1.50009	−	6.18344i	0.0935727	−	0.385712i	0.999270	+	0.0382139i	$0.0121668\pi$
$258$	−0.903650	+	0.962824i	−0.0562588	+	0.0599428i
$259$	8.94116	−	23.2869i	0.555576	−	1.44698i
$260$	−0.142093	−	0.221101i	−0.00881223	−	0.0137121i
$261$	−2.95106	+	16.7285i	−0.182666	+	1.03547i
$262$	25.0758	+	8.67882i	1.54919	+	0.536180i
$263$	27.7883	+	1.32372i	1.71350	+	0.0816241i	0.881213	−	0.472719i	$-0.156727\pi$
$263$	27.7883	+	1.32372i	1.71350	+	0.0816241i	0.832288	+	0.554343i	$0.187030\pi$
$264$	−1.59884	+	1.87486i	−0.0984021	+	0.115390i
$265$	2.53777	+	0.364877i	0.155894	+	0.0224142i
$266$	−3.09192	−	7.41628i	−0.189578	−	0.454721i
$267$	21.0632	−	16.8350i	1.28905	−	1.03029i
$268$	−11.9376	−	1.13990i	−0.729204	−	0.0696305i
$269$	−8.90272	−	4.58967i	−0.542808	−	0.279837i	0.164938	−	0.986304i	$-0.447258\pi$
$269$	−8.90272	−	4.58967i	−0.542808	−	0.279837i	−0.707746	+	0.706467i	$0.750288\pi$
$270$	−1.17375	−	9.82692i	−0.0714322	−	0.598047i
$271$	−3.58121	+	1.23947i	−0.217543	+	0.0752924i	−0.433666	−	0.901074i	$-0.642780\pi$
$271$	−3.58121	+	1.23947i	−0.217543	+	0.0752924i	0.216123	+	0.976366i	$0.430659\pi$
$272$	−6.85115	+	2.01168i	−0.415412	+	0.121976i
$273$	−0.435915	+	0.237062i	−0.0263828	+	0.0143477i
$274$	−3.81990	−	26.5680i	−0.230769	−	1.60503i
$275$	−3.02814	−	1.74830i	−0.182604	−	0.105426i
$276$	22.1901	−	6.65028i	1.33569	−	0.400300i
$277$	−0.0795543	−	0.137792i	−0.00477995	−	0.00827912i	0.863626	−	0.504134i	$-0.168188\pi$
$277$	−0.0795543	−	0.137792i	−0.00477995	−	0.00827912i	−0.868405	+	0.495855i	$0.834855\pi$
$278$	−18.0662	−	7.23262i	−1.08354	−	0.433784i
$279$	12.6531	+	7.04135i	0.757524	+	0.421555i
$280$	3.89182	−	0.807561i	0.232580	−	0.0482610i
$281$	20.3319	+	17.6177i	1.21290	+	1.05098i	0.997220	+	0.0745182i	$0.0237419\pi$
$281$	20.3319	+	17.6177i	1.21290	+	1.05098i	0.215679	+	0.976464i	$0.430804\pi$
$282$	−30.0391	+	26.4471i	−1.78881	+	1.57490i
$283$	−13.1865	+	25.5782i	−0.783856	+	1.52047i	0.0685845	+	0.997645i	$0.478152\pi$
$283$	−13.1865	+	25.5782i	−0.783856	+	1.52047i	−0.852441	+	0.522824i	$0.824879\pi$
$284$	13.4238	+	9.55905i	0.796556	+	0.567225i
$285$	−2.06841	+	0.314075i	−0.122522	+	0.0186042i
$286$	0.105584	−	0.164293i	0.00624334	−	0.00971482i
$287$	−6.81233	−	22.0381i	−0.402119	−	1.30087i
$288$	−21.6303	−	4.88724i	−1.27458	−	0.287983i
$289$	1.12852	−	0.581792i	0.0663835	−	0.0342231i
$290$	−3.52727	+	10.1914i	−0.207128	+	0.598458i
$291$	−17.8194	+	23.0311i	−1.04459	+	1.35011i
$292$	27.1878	−	1.29511i	1.59104	−	0.0757908i
$293$	20.2129	+	5.93503i	1.18085	+	0.346728i	0.812501	−	0.582960i	$-0.198106\pi$
$293$	20.2129	+	5.93503i	1.18085	+	0.346728i	0.368347	+	0.929688i	$0.379924\pi$
$294$	−3.47869	−	26.3030i	−0.202881	−	1.53402i
$295$	−5.45610	+	1.60205i	−0.317666	+	0.0932752i
$296$	13.2560	−	9.43957i	0.770491	−	0.548664i
$297$	3.65711	−	2.22852i	0.212207	−	0.129312i
$298$	−0.962462	−	1.66703i	−0.0557539	−	0.0965687i
$299$	−0.472868	+	0.214630i	−0.0273466	+	0.0124124i
$300$	−0.813469	+	20.4762i	−0.0469657	+	1.18219i
$301$	0.509282	+	0.768252i	0.0293546	+	0.0442813i
$302$	−25.0611	−	11.4450i	−1.44210	−	0.658586i
$303$	−14.5841	−	4.15753i	−0.837836	−	0.238844i
$304$	−0.472842	+	2.45334i	−0.0271194	+	0.140709i
$305$	1.93582	−	0.469625i	0.110845	−	0.0268906i
$306$	−26.0245	−	0.828212i	−1.48772	−	0.0473457i
$307$	−12.1961	+	5.56977i	−0.696068	+	0.317883i	−0.731840	−	0.681476i	$-0.761338\pi$
$307$	−12.1961	+	5.56977i	−0.696068	+	0.317883i	0.0357723	+	0.999360i	$0.488611\pi$
$308$	3.59741	+	4.90299i	0.204981	+	0.279374i
$309$	−5.50815	−	3.85718i	−0.313348	−	0.219427i
$310$	7.22642	+	5.68292i	0.410433	+	0.322768i
$311$	−0.0295453	+	0.0118282i	−0.00167536	+	0.000670713i	−0.372500	−	0.928032i	$-0.621499\pi$
$311$	−0.0295453	+	0.0118282i	−0.00167536	+	0.000670713i	0.370825	+	0.928703i	$0.379075\pi$
$312$	−0.322488	−	0.0282271i	−0.0182573	−	0.00159804i
$313$	−1.89455	−	9.82983i	−0.107086	−	0.555615i	−0.995353	−	0.0962884i	$-0.969303\pi$
$313$	−1.89455	−	9.82983i	−0.107086	−	0.555615i	0.888267	−	0.459327i	$-0.151909\pi$
$314$	4.09240	+	8.96110i	0.230947	+	0.505704i
$315$	−6.86437	−	0.777699i	−0.386763	−	0.0438184i
$316$	−8.35965	−	2.45461i	−0.470267	−	0.138083i
$317$	29.1971	−	10.1052i	1.63987	−	0.567565i	0.657328	−	0.753604i	$-0.271686\pi$
$317$	29.1971	−	10.1052i	1.63987	−	0.567565i	0.982542	+	0.186040i	$0.0595652\pi$
$318$	8.01960	−	7.76844i	0.449717	−	0.435633i
$319$	−4.64564	+	0.443605i	−0.260106	+	0.0248371i
$320$	−10.1609	−	4.06780i	−0.568010	−	0.227397i
$321$	3.12408	+	0.124112i	0.174369	+	0.00692727i
$322$	−1.65072	−	27.7176i	−0.0919908	−	1.54464i
$323$			5.50420i			0.306262i
$324$	−21.5323	−	12.8962i	−1.19624	−	0.716454i
$325$	−0.0436668	−	0.457299i	−0.00242220	−	0.0253664i
$326$	−1.79242	+	1.87984i	−0.0992731	+	0.104115i
$327$	14.4441	−	4.36530i	0.798761	−	0.241402i
$328$	4.23972	−	14.4391i	0.234099	−	0.797269i
$329$	13.1528	+	24.6472i	0.725137	+	1.35884i
$330$	2.51612	−	1.03042i	0.138508	−	0.0567227i
$331$	21.8227	−	4.20597i	1.19948	−	0.231181i	0.449892	−	0.893083i	$-0.351463\pi$
$331$	21.8227	−	4.20597i	1.19948	−	0.231181i	0.749590	+	0.661902i	$0.230251\pi$
$332$	−1.03429	+	21.7125i	−0.0567642	+	1.19163i
$333$	−27.0094	+	8.39602i	−1.48011	+	0.460099i
$334$	−5.78283	+	7.35347i	−0.316422	+	0.402364i
$335$	3.14849	+	2.02341i	0.172021	+	0.110551i
$336$	−3.61753	+	7.41475i	−0.197352	+	0.404508i
$337$	−11.6926	−	25.6032i	−0.636937	−	1.39470i	−0.902536	−	0.430614i	$-0.858297\pi$
$337$	−11.6926	−	25.6032i	−0.636937	−	1.39470i	0.265600	−	0.964083i	$-0.414430\pi$
$338$	−28.3904	+	1.35240i	−1.54423	+	0.0735608i
$339$	0.969985	+	4.82740i	0.0526824	+	0.262188i
$340$	−9.45279	−	1.82188i	−0.512650	−	0.0988051i
$341$	−0.937897	+	3.86606i	−0.0507900	+	0.209359i
$342$	−4.43030	+	7.96114i	−0.239563	+	0.430489i
$343$	−18.4274	−	1.85266i	−0.994984	−	0.100034i
$344$			0.601327i			0.0324214i
$345$	−7.10664	−	1.32862i	−0.382609	−	0.0715305i
$346$	21.8674	−	12.6252i	1.17560	−	0.678733i
$347$	−13.3431	−	16.9671i	−0.716296	−	0.910844i	0.282532	−	0.959258i	$-0.408826\pi$
$347$	−13.3431	−	16.9671i	−0.716296	−	0.910844i	−0.998827	+	0.0484138i	$0.984583\pi$
$348$	14.9678	+	22.8911i	0.802359	+	1.22709i
$349$	−0.0178522	−	0.0607989i	−0.000955604	−	0.00325449i	0.959014	−	0.283359i	$-0.0914489\pi$
$349$	−0.0178522	−	0.0607989i	−0.000955604	−	0.00325449i	−0.959969	+	0.280105i	$0.909631\pi$
$350$	23.6638	+	6.58483i	1.26488	+	0.351974i
$351$	0.517190	+	0.221548i	0.0276056	+	0.0118253i
$352$	−0.289882	−	6.08538i	−0.0154508	−	0.324352i
$353$	7.11431	−	9.99065i	0.378657	−	0.531749i	−0.580636	−	0.814163i	$-0.697196\pi$
$353$	7.11431	−	9.99065i	0.378657	−	0.531749i	0.959292	+	0.282415i	$0.0911354\pi$
$354$	−9.02193	+	23.0616i	−0.479510	+	1.22571i
$355$	−2.35675	−	4.57145i	−0.125083	−	0.242627i
$356$	6.17861	−	42.9732i	0.327466	−	2.27757i
$357$	−4.73405	+	17.5478i	−0.250553	+	0.928729i
$358$	11.0152	+	7.07906i	0.582174	+	0.374140i
$359$	4.50032	+	23.3499i	0.237518	+	1.23236i	0.883289	+	0.468829i	$0.155324\pi$
$359$	4.50032	+	23.3499i	0.237518	+	1.23236i	−0.645771	+	0.763531i	$0.723464\pi$
$360$	−3.45226	−	2.89726i	−0.181950	−	0.152699i
$361$	−15.1760	−	7.82377i	−0.798737	−	0.411777i
$362$	−5.84891	+	5.57692i	−0.307412	+	0.293117i
$363$	−13.0344	−	12.2333i	−0.684130	−	0.642084i
$364$	−0.250560	+	0.758631i	−0.0131329	+	0.0397631i
$365$	−7.72716	−	3.52888i	−0.404458	−	0.184710i
$366$	3.54121	−	7.91900i	0.185102	−	0.413933i
$367$	9.56635	−	5.52314i	0.499360	−	0.288305i	−0.229089	−	0.973405i	$-0.573575\pi$
$367$	9.56635	−	5.52314i	0.499360	−	0.288305i	0.728449	+	0.685100i	$0.240241\pi$
$368$	−4.33434	+	7.46733i	−0.225943	+	0.389261i
$369$	−14.8335	+	21.5425i	−0.772200	+	1.12146i
$370$	−17.7743	+	2.55556i	−0.924042	+	0.132857i
$371$	−3.99231	−	6.69355i	−0.207270	−	0.347512i
$372$	22.6135	−	5.67534i	1.17246	−	0.294253i
$373$	−4.50509	−	13.0166i	−0.233265	−	0.673975i	−0.999506	−	0.0314217i	$-0.989996\pi$
$373$	−4.50509	−	13.0166i	−0.233265	−	0.673975i	0.766241	−	0.642553i	$-0.222125\pi$
$374$	−1.68646	−	6.95168i	−0.0872047	−	0.359463i
$375$	6.87110	−	12.1211i	0.354822	−	0.625928i
$376$	−1.73248	+	18.1434i	−0.0893460	+	0.935673i
$377$	−0.401505	−	0.463361i	−0.0206785	−	0.0238643i
$378$	−20.9713	+	21.5703i	−1.07865	+	1.10946i
$379$	3.64902	−	25.3795i	0.187438	−	1.30366i	−0.651174	−	0.758928i	$-0.725723\pi$
$379$	3.64902	−	25.3795i	0.187438	−	1.30366i	0.838612	−	0.544729i	$-0.183368\pi$
$380$	−2.08227	+	2.64782i	−0.106818	+	0.135830i
$381$	28.4152	+	2.48716i	1.45575	+	0.127421i
$382$	−1.16799	+	3.37470i	−0.0597598	+	0.172665i
$383$	5.43204	+	0.518697i	0.277564	+	0.0265042i	0.232910	−	0.972498i	$-0.425175\pi$
$383$	5.43204	+	0.518697i	0.277564	+	0.0265042i	0.0446544	+	0.999002i	$0.485781\pi$
$384$	−19.0144	+	11.1790i	−0.970322	+	0.570475i
$385$	−0.296748	−	1.87457i	−0.0151237	−	0.0955369i
$386$	−11.5675	−	10.0233i	−0.588770	−	0.510172i
$387$	0.326198	−	0.992930i	0.0165816	−	0.0504735i
$388$	4.45676	+	46.6733i	0.226258	+	2.36948i
$389$	−12.3154	−	15.6603i	−0.624413	−	0.794006i	0.366224	−	0.930527i	$-0.380650\pi$
$389$	−12.3154	−	15.6603i	−0.624413	−	0.794006i	−0.990637	+	0.136521i	$0.956408\pi$
$390$	0.302020	+	0.190745i	0.0152934	+	0.00965874i
$391$	−6.26274	+	17.9604i	−0.316721	+	0.908296i
$392$	−9.35230	−	7.64986i	−0.472363	−	0.386376i
$393$	−20.8910	+	2.16138i	−1.05381	+	0.109027i
$394$	−22.3338	−	31.3634i	−1.12516	−	1.58006i
$395$	1.96795	+	1.87643i	0.0990182	+	0.0944137i
$396$	1.83798	−	6.64593i	0.0923619	−	0.333971i
$397$	−11.4725	−	12.0320i	−0.575789	−	0.603870i	0.369849	−	0.929092i	$-0.379410\pi$
$397$	−11.4725	−	12.0320i	−0.575789	−	0.603870i	−0.945638	+	0.325222i	$0.894561\pi$
$398$	−36.5059	+	23.4609i	−1.82988	+	1.17599i
$399$	4.69854	+	4.28593i	0.235221	+	0.214565i
$400$	−5.00173	−	5.77230i	−0.250086	−	0.288615i
$401$	−13.2761	−	25.7521i	−0.662978	−	1.28600i	−0.945151	−	0.326634i	$-0.894085\pi$
$401$	−13.2761	−	25.7521i	−0.662978	−	1.28600i	0.282173	−	0.959364i	$-0.408945\pi$
$402$	15.3596	−	5.45213i	0.766065	−	0.271927i
$403$	−0.485213	+	0.194250i	−0.0241702	+	0.00967628i
$404$	−21.7029	+	11.1886i	−1.07976	+	0.556656i
$405$	4.12882	+	6.65678i	0.205163	+	0.330778i
$406$	30.8247	−	11.1611i	1.52980	−	0.553916i
$407$	−4.20107	−	6.53700i	−0.208239	−	0.324027i
$408$	−8.89961	+	7.83539i	−0.440596	+	0.387910i
$409$	5.41314	−	28.0860i	0.267662	−	1.38876i	−0.560444	−	0.828193i	$-0.689369\pi$
$409$	5.41314	−	28.0860i	0.267662	−	1.38876i	0.828106	−	0.560572i	$-0.189419\pi$
$410$	−11.4592	+	12.0180i	−0.565927	+	0.593527i
$411$	11.6265	+	17.7810i	0.573492	+	0.877071i
$412$	−10.7167	+	1.54083i	−0.527974	+	0.0759112i
$413$	14.2215	+	9.82581i	0.699797	+	0.483497i
$414$	−23.5145	+	20.9366i	−1.15567	+	1.02898i
$415$	3.39203	−	5.87517i	0.166508	−	0.288401i
$416$	0.629154	−	0.494772i	0.0308468	−	0.0242582i
$417$	15.3790	−	0.854303i	0.753111	−	0.0418354i
$418$	−2.43246	−	0.590109i	−0.118976	−	0.0288632i
$419$	1.97539	−	2.27972i	0.0965041	−	0.111372i	−0.705443	−	0.708766i	$-0.749252\pi$
$419$	1.97539	−	2.27972i	0.0965041	−	0.111372i	0.801947	+	0.597395i	$0.203797\pi$
$420$	−8.91577	+	6.65054i	−0.435045	+	0.324513i
$421$	14.5892	−	9.37592i	0.711035	−	0.456954i	−0.134473	−	0.990917i	$-0.542934\pi$
$421$	14.5892	−	9.37592i	0.711035	−	0.456954i	0.845508	+	0.533963i	$0.179298\pi$
$422$	−4.59059	+	48.0749i	−0.223467	+	2.34025i
$423$	12.7029	−	29.0191i	0.617634	−	1.41096i
$424$	0.241933	−	5.07880i	0.0117493	−	0.246649i
$425$	−13.2263	−	10.4013i	−0.641572	−	0.504538i
$426$	−22.0258	−	4.06508i	−1.06715	−	0.196954i
$427$	−4.81242	−	3.67515i	−0.232889	−	0.177853i
$428$	3.80446	−	3.29659i	0.183896	−	0.159346i
$429$	−0.0207900	+	0.153171i	−0.00100375	+	0.00739516i
$430$	0.304050	−	0.589774i	0.0146626	−	0.0284414i
$431$	27.9799	−	6.78785i	1.34774	−	0.326959i	0.503999	−	0.863704i	$-0.331861\pi$
$431$	27.9799	−	6.78785i	1.34774	−	0.326959i	0.843745	+	0.536745i	$0.180346\pi$
$432$	9.14125	−	1.98740i	0.439809	−	0.0956190i
$433$	7.06549	+	24.0629i	0.339546	+	1.15639i	0.935488	+	0.353359i	$0.114961\pi$
$433$	7.06549	+	24.0629i	0.339546	+	1.15639i	−0.595942	+	0.803028i	$0.703221\pi$
$434$	−0.396802	−	27.9432i	−0.0190471	−	1.34132i
$435$	−0.878434	−	8.49059i	−0.0421177	−	0.407092i
$436$	12.1476	−	21.0403i	0.581765	−	1.00765i
$437$	4.58175	+	4.82752i	0.219175	+	0.230932i
$438$	−32.7464	+	17.2105i	−1.56468	+	0.822347i
$439$	14.2650	−	35.6323i	0.680832	−	1.70064i	−0.0321763	−	0.999482i	$-0.510244\pi$
$439$	14.2650	−	35.6323i	0.680832	−	1.70064i	0.713009	−	0.701155i	$-0.247332\pi$
$440$	0.514359	−	1.12629i	0.0245211	−	0.0536938i
$441$	11.2931	+	17.7050i	0.537765	+	0.843095i
$442$	0.615435	−	0.710250i	0.0292732	−	0.0337831i
$443$	−13.0300	−	13.6654i	−0.619072	−	0.649264i	0.337306	−	0.941395i	$-0.390484\pi$
$443$	−13.0300	−	13.6654i	−0.619072	−	0.649264i	−0.956378	+	0.292131i	$0.905636\pi$
$444$	−22.4582	+	39.6176i	−1.06582	+	1.88017i
$445$	−7.85958	+	11.0372i	−0.372580	+	0.523215i
$446$	−25.7595	+	4.96474i	−1.21975	+	0.235087i
$447$	1.24800	+	0.873935i	0.0590284	+	0.0413357i
$448$	9.82572	+	31.7865i	0.464221	+	1.50177i
$449$	17.9020	+	2.57392i	0.844848	+	0.121471i	0.551128	−	0.834421i	$-0.314198\pi$
$449$	17.9020	+	2.57392i	0.844848	+	0.121471i	0.293720	+	0.955891i	$0.405107\pi$
$450$	−10.7583	−	25.6900i	−0.507151	−	1.21104i
$451$	−6.79050	−	2.35021i	−0.319752	−	0.110667i
$452$	6.45789	+	4.59864i	0.303754	+	0.216302i
$453$	21.8057	−	0.172119i	1.02452	−	0.00808685i
$454$	17.1429	−	58.3835i	0.804558	−	2.74007i
$455$	0.177998	−	0.174613i	0.00834469	−	0.00818598i
$456$	1.00996	+	4.02420i	0.0472956	+	0.188450i
$457$	19.0862	+	26.8028i	0.892816	+	1.25378i	0.966543	+	0.256506i	$0.0825713\pi$
$457$	19.0862	+	26.8028i	0.892816	+	1.25378i	−0.0737269	+	0.997278i	$0.523489\pi$
$458$	−2.30772	+	1.81481i	−0.107833	+	0.0848006i
$459$	18.9458	−	8.11034i	0.884312	−	0.378558i
$460$	−9.80723	+	6.27070i	−0.457265	+	0.292373i
$461$	25.9216			1.20729			0.603645	−	0.797253i	$-0.293714\pi$
$461$	25.9216			1.20729			0.603645	+	0.797253i	$0.293714\pi$
$462$	−7.24733	−	3.97342i	−0.337177	−	0.184860i
$463$	3.59396	−	7.86967i	0.167025	−	0.365735i	−0.807548	−	0.589801i	$-0.799206\pi$
$463$	3.59396	−	7.86967i	0.167025	−	0.365735i	0.974574	+	0.224067i	$0.0719334\pi$
$464$	−9.90658	−	2.40331i	−0.459901	−	0.111571i
$465$	−7.08467	−	1.65962i	−0.328544	−	0.0769632i
$466$	13.7638	+	56.7350i	0.637594	+	2.62820i
$467$	1.37776	+	28.9228i	0.0637553	+	1.33839i	0.773440	+	0.633870i	$0.218534\pi$
$467$	1.37776	+	28.9228i	0.0637553	+	1.33839i	−0.709685	+	0.704520i	$0.751163\pi$
$468$	0.851302	−	0.309771i	0.0393514	−	0.0143192i
$469$	−1.24214	−	11.3089i	−0.0573569	−	0.522197i
$470$	10.8731	−	16.9188i	0.501537	−	0.780407i
$471$	−5.93293	−	5.05948i	−0.273375	−	0.233128i
$472$	4.19128	+	10.4693i	0.192919	+	0.481889i
$473$	0.286806	+	0.0136622i	0.0131873	+	0.000628191i
$474$	11.7073	−	1.77768i	0.537735	−	0.0816518i
$475$	−5.35562	+	2.44583i	−0.245733	+	0.112222i
$476$	13.7774	+	25.8176i	0.631485	+	1.18335i
$477$	−3.15456	+	8.25505i	−0.144437	+	0.377973i
$478$	8.39799	+	24.2644i	0.384115	+	1.10983i
$479$	−16.0057	−	15.2614i	−0.731317	−	0.697309i	0.229866	−	0.973222i	$-0.426171\pi$
$479$	−16.0057	−	15.2614i	−0.731317	−	0.697309i	−0.961183	+	0.275913i	$0.911020\pi$
$480$	11.1261	−	0.618057i	0.507836	−	0.0282103i
$481$	0.379424	−	0.947757i	0.0173003	−	0.0432140i
$482$	−33.2326			−1.51370
$483$	10.4549	+	19.3312i	0.475715	+	0.879600i
$484$	−28.7820			−1.30827
$485$	5.43847	−	13.5846i	0.246948	−	0.616846i
$486$	33.9306	+	3.51872i	1.53912	+	0.159612i
$487$	−28.8310	−	27.4903i	−1.30646	−	1.24571i	−0.950321	−	0.311272i	$-0.899245\pi$
$487$	−28.8310	−	27.4903i	−1.30646	−	1.24571i	−0.356137	−	0.934434i	$-0.615906\pi$
$488$	−1.29205	−	3.73313i	−0.0584882	−	0.168991i
$489$	0.657046	−	1.94802i	0.0297127	−	0.0880927i
$490$	5.30462	+	12.2317i	0.239638	+	0.552572i
$491$	26.9683	−	12.3160i	1.21706	−	0.555814i	0.299764	−	0.954013i	$-0.403092\pi$
$491$	26.9683	−	12.3160i	1.21706	−	0.555814i	0.917299	+	0.398200i	$0.130365\pi$
$492$	6.32211	+	41.6356i	0.285023	+	1.87708i
$493$	−22.4319	−	1.06856i	−1.01028	−	0.0481257i
$494$	−0.122219	−	0.305288i	−0.00549888	−	0.0137355i
$495$	−1.46030	+	1.58075i	−0.0656356	+	0.0710492i
$496$	−4.69809	+	7.31037i	−0.210950	+	0.328245i
$497$	−6.29219	+	14.3124i	−0.282243	+	0.641997i
$498$	−11.1964	−	27.3397i	−0.501721	−	1.22512i
$499$	0.517760	+	10.8691i	0.0231781	+	0.486569i	0.980376	+	0.197135i	$0.0631638\pi$
$499$	0.517760	+	10.8691i	0.0231781	+	0.486569i	−0.957198	+	0.289433i	$0.906533\pi$
$500$	−5.28893	−	21.8012i	−0.236528	−	0.974981i
$501$	1.68880	−	7.20923i	0.0754501	−	0.322085i
$502$	35.1175	+	8.51943i	1.56737	+	0.380241i
$503$	−7.15126	+	15.6591i	−0.318859	+	0.698204i	−0.999405	−	0.0345020i	$-0.989015\pi$
$503$	−7.15126	+	15.6591i	−0.318859	+	0.698204i	0.680546	+	0.732706i	$0.261743\pi$
$504$	−0.241307	+	13.6981i	−0.0107487	+	0.610162i
$505$	7.62054			0.339110
$506$	−7.26577	−	4.69323i	−0.323003	−	0.208639i
$507$	19.9136	−	10.4659i	0.884393	−	0.464808i
$508$	36.1003	−	28.3896i	1.60169	−	1.25958i
$509$	−21.8318	−	30.6585i	−0.967678	−	1.35891i	−0.933141	−	0.359509i	$-0.882944\pi$
$509$	−21.8318	−	30.6585i	−0.967678	−	1.35891i	−0.0345361	−	0.999403i	$-0.510995\pi$
$510$	12.6905	−	3.18494i	0.561943	−	0.141031i
$511$	6.44366	+	25.0059i	0.285051	+	1.10620i
$512$	5.50019	−	18.7319i	0.243076	−	0.827843i
$513$	0.515307	−	7.19276i	0.0227514	−	0.317568i
$514$	11.3420	+	8.07663i	0.500276	+	0.356245i
$515$	3.19319	+	1.10517i	0.140709	+	0.0486998i
$516$	−0.711108	−	1.52514i	−0.0313048	−	0.0671404i
$517$	8.61421	+	1.23854i	0.378853	+	0.0544708i
$518$	40.0370	+	37.1042i	1.75912	+	1.63027i
$519$	−11.4639	+	16.3707i	−0.503209	+	0.718596i
$520$	0.159731	−	0.0307857i	0.00700467	−	0.00135004i
$521$	−14.6376	+	20.5556i	−0.641285	+	0.900559i	−0.999452	−	0.0330985i	$-0.989463\pi$
$521$	−14.6376	+	20.5556i	−0.641285	+	0.900559i	0.358167	+	0.933658i	$0.383402\pi$
$522$	−31.5849	−	19.6008i	−1.38243	−	0.857905i
$523$	20.9395	+	21.9607i	0.915620	+	0.960274i	0.999344	−	0.0362147i	$-0.0115300\pi$
$523$	20.9395	+	21.9607i	0.915620	+	0.960274i	−0.0837244	+	0.996489i	$0.526682\pi$
$524$	−22.1448	+	25.5565i	−0.967400	+	1.11644i
$525$	−19.1777	+	3.19123i	−0.836985	+	0.139277i
$526$	−25.2900	+	55.3773i	−1.10270	+	2.41457i
$527$	−7.11504	+	17.7725i	−0.309936	+	0.774183i
$528$	1.19566	+	2.27498i	0.0520342	+	0.0990057i
$529$	9.45759	+	20.9655i	0.411200	+	0.911545i
$530$	−2.80529	+	4.85890i	−0.121854	+	0.211057i
$531$	−1.24155	−	19.5609i	−0.0538788	−	0.848871i
$532$	10.2386	−	0.145392i	0.443901	−	0.00630352i
$533$	−0.265969	−	0.905809i	−0.0115204	−	0.0392349i
$534$	17.0705	+	56.4835i	0.738712	+	2.44428i
$535$	−1.52681	+	0.370401i	−0.0660099	+	0.0160138i
$536$	3.40105	−	6.59713i	0.146903	−	0.284952i
$537$	−10.2696	−	1.39390i	−0.443164	−	0.0601511i
$538$	16.5650	−	14.3536i	0.714167	−	0.618829i
$539$	−3.86112	+	4.28682i	−0.166310	+	0.184647i
$540$	12.1821	+	3.26576i	0.524235	+	0.140536i
$541$	−15.7829	−	12.4118i	−0.678560	−	0.533626i	0.218332	−	0.975874i	$-0.429938\pi$
$541$	−15.7829	−	12.4118i	−0.678560	−	0.533626i	−0.896892	+	0.442249i	$0.854181\pi$
$542$	0.394595	−	8.28356i	0.0169493	−	0.355809i
$543$	2.33041	−	5.95692i	0.100007	−	0.255636i
$544$	2.78677	−	29.1844i	0.119482	−	1.25127i
$545$	−6.37876	+	4.09938i	−0.273236	+	0.175598i
$546$	−0.127071	−	1.07840i	−0.00543814	−	0.0461512i
$547$	−15.0272	+	17.3424i	−0.642518	+	0.741505i	−0.979818	−	0.199892i	$-0.935941\pi$
$547$	−15.0272	+	17.3424i	−0.642518	+	0.741505i	0.337300	+	0.941397i	$0.390486\pi$
$548$	33.2418	+	8.06436i	1.42002	+	0.344492i
$549$	0.108384	+	6.86515i	0.00462573	+	0.292998i
$550$	6.01464	−	4.72996i	0.256465	−	0.201686i
$551$	−3.92902	+	6.80527i	−0.167382	+	0.289914i
$552$	−1.28325	+	14.2802i	−0.0546188	+	0.607807i
$553$	0.668800	−	8.23868i	0.0284403	−	0.350344i
$554$	0.344637	−	0.0495513i	0.0146422	−	0.00210523i
$555$	11.8957	−	7.77825i	0.504944	−	0.330168i
$556$	17.1138	−	17.9484i	0.725786	−	0.761182i
$557$	0.504598	−	2.61810i	0.0213805	−	0.110933i	−0.969671	−	0.244415i	$-0.921404\pi$
$557$	0.504598	−	2.61810i	0.0213805	−	0.110933i	0.991051	+	0.133483i	$0.0426161\pi$
$558$	−24.5960	+	19.9789i	−1.04123	+	0.845773i
$559$	0.0203946	+	0.0317345i	0.000862598	+	0.00134223i
$560$	0.726705	−	4.08154i	0.0307089	−	0.172477i
$561$	3.53493	+	4.42273i	0.149245	+	0.186728i
$562$	−52.3278	+	26.9769i	−2.20732	+	1.13795i
$563$	−41.8820	+	16.7670i	−1.76512	+	0.706646i	−0.767251	+	0.641347i	$0.778376\pi$
$563$	−41.8820	+	16.7670i	−1.76512	+	0.706646i	−0.997866	+	0.0652992i	$0.979200\pi$
$564$	−17.0617	−	48.0656i	−0.718426	−	2.02393i
$565$	−1.13378	−	2.19922i	−0.0476984	−	0.0925219i
$566$	−41.2392	−	47.5925i	−1.73341	−	2.00046i
$567$	7.82918	−	22.4879i	0.328795	−	0.944401i
$568$	−8.58059	+	5.51441i	−0.360033	+	0.231379i
$569$	31.7019	+	33.2480i	1.32901	+	1.39383i	0.859700	+	0.510799i	$0.170650\pi$
$569$	31.7019	+	33.2480i	1.32901	+	1.39383i	0.469315	+	0.883031i	$0.344501\pi$
$570$	1.04421	−	4.45755i	0.0437370	−	0.186706i
$571$	16.0389	+	15.2930i	0.671206	+	0.639994i	0.947004	−	0.321222i	$-0.104094\pi$
$571$	16.0389	+	15.2930i	0.671206	+	0.639994i	−0.275798	+	0.961216i	$0.588942\pi$
$572$	0.144365	+	0.202732i	0.00603620	+	0.00847665i
$573$	−0.290878	−	2.81151i	−0.0121516	−	0.117453i
$574$	50.3126	+	4.08428i	2.10001	+	0.170474i
$575$	−20.2585	+	1.88714i	−0.844836	+	0.0786992i
$576$	21.3950	−	31.0717i	0.891457	−	1.29465i
$577$	4.25402	+	5.40942i	0.177097	+	0.225197i	0.866495	−	0.499185i	$-0.166367\pi$
$577$	4.25402	+	5.40942i	0.177097	+	0.225197i	−0.689398	+	0.724383i	$0.742125\pi$
$578$	0.264107	+	2.76585i	0.0109854	+	0.115044i
$579$	11.6505	+	3.32123i	0.484177	+	0.138026i
$580$	−10.3867	−	9.00014i	−0.431285	−	0.373711i
$581$	−20.3688	+	3.22441i	−0.845039	+	0.133771i
$582$	−32.2964	−	54.9330i	−1.33873	−	2.27705i
$583$	−2.41686	−	0.230783i	−0.100096	−	0.00955804i
$584$	−5.50998	+	15.9200i	−0.228004	+	0.658776i
$585$	−0.280454	−	0.0358141i	−0.0115953	−	0.00148073i
$586$	−28.4969	+	36.2368i	−1.17720	+	1.49693i
$587$	−2.43859	+	16.9608i	−0.100651	+	0.700046i	0.875542	+	0.483142i	$0.160505\pi$
$587$	−2.43859	+	16.9608i	−0.100651	+	0.700046i	−0.976193	+	0.216903i	$0.930404\pi$
$588$	32.7666	+	8.34252i	1.35127	+	0.344040i
$589$	4.38666	+	5.06248i	0.180749	+	0.208596i
$590$	1.18286	−	12.3874i	0.0486974	−	0.509982i
$591$	26.5114	+	15.0286i	1.09053	+	0.618193i
$592$	−4.00170	−	16.4952i	−0.164469	−	0.677950i
$593$	8.33961	+	24.0957i	0.342467	+	0.989493i	0.976375	+	0.216084i	$0.0693286\pi$
$593$	8.33961	+	24.0957i	0.342467	+	0.989493i	−0.633908	+	0.773408i	$0.718550\pi$
$594$	1.55300	+	9.24218i	0.0637205	+	0.379211i
$595$	−0.129680	−	9.13217i	−0.00531634	−	0.374383i
$596$	2.42812	−	0.349111i	0.0994597	−	0.0143001i
$597$	18.3406	−	29.0400i	0.750631	−	1.18853i
$598$	−0.0514441	−	1.13523i	−0.00210371	−	0.0464229i
$599$	30.2119	−	17.4428i	1.23442	−	0.712694i	0.266474	−	0.963842i	$-0.414141\pi$
$599$	30.2119	−	17.4428i	1.23442	−	0.712694i	0.967949	+	0.251148i	$0.0808079\pi$
$600$	−11.5785	−	5.17766i	−0.472690	−	0.211377i
$601$	8.10006	+	3.69917i	0.330408	+	0.150892i	0.573711	−	0.819058i	$-0.305503\pi$
$601$	8.10006	+	3.69917i	0.330408	+	0.150892i	−0.243302	+	0.969950i	$0.578231\pi$
$602$	−1.97497	+	0.409810i	−0.0804936	+	0.0167026i
$603$	−9.19464	+	9.04844i	−0.374435	+	0.368481i
$604$	25.4105	−	24.2288i	1.03394	−	0.985857i
$605$	7.98419	+	4.11614i	0.324603	+	0.167345i
$606$	20.3078	−	26.2473i	0.824950	−	1.06622i
$607$	−1.19684	−	6.20979i	−0.0485782	−	0.252047i	0.949519	−	0.313710i	$-0.101572\pi$
$607$	−1.19684	−	6.20979i	−0.0485782	−	0.252047i	−0.998097	+	0.0616624i	$0.980360\pi$
$608$	−8.62988	−	5.54609i	−0.349988	−	0.224924i
$609$	−18.3791	+	18.3164i	−0.744759	+	0.742220i
$610$	−0.620361	+	4.31471i	−0.0251177	+	0.174697i
$611$	0.523919	+	1.01626i	0.0211955	+	0.0411135i
$612$	13.3061	−	30.3972i	0.537867	−	1.22873i
$613$	−15.4792	+	21.7375i	−0.625200	+	0.877970i	−0.998768	−	0.0496327i	$-0.984195\pi$
$613$	−15.4792	+	21.7375i	−0.625200	+	0.877970i	0.373568	+	0.927603i	$0.378134\pi$
$614$	−1.39607	−	29.3072i	−0.0563410	−	1.18274i
$615$	4.20057	−	12.4539i	0.169383	−	0.502191i
$616$	−3.64480	+	0.939210i	−0.146853	+	0.0378419i
$617$	8.91337	+	30.3561i	0.358839	+	1.22209i	0.919182	+	0.393832i	$0.128851\pi$
$617$	8.91337	+	30.3561i	0.358839	+	1.22209i	−0.560344	+	0.828260i	$0.689331\pi$
$618$	12.3160	−	8.05309i	0.495423	−	0.323943i
$619$	−26.2945	−	33.4362i	−1.05687	−	1.34391i	−0.936297	−	0.351208i	$-0.885771\pi$
$619$	−26.2945	−	33.4362i	−1.05687	−	1.34391i	−0.120568	−	0.992705i	$-0.538472\pi$
$620$	−10.1462	+	5.85789i	−0.407480	+	0.235258i
$621$	9.86547	−	22.8839i	0.395888	−	0.918299i
$622$		−	0.0696434i		−	0.00279245i
$623$	41.1101	−	2.54381i	1.64704	−	0.101916i
$624$	−0.152346	+	0.301326i	−0.00609872	+	0.0120627i
$625$	3.35035	−	13.8103i	0.134014	−	0.552413i
$626$	21.5109	+	4.14588i	0.859747	+	0.165703i
$627$	1.94231	−	0.390274i	0.0775683	−	0.0155861i
$628$	−12.5402	+	0.597361i	−0.500407	+	0.0238373i
$629$	−15.5337	−	34.0141i	−0.619370	−	1.35623i
$630$	7.16286	−	13.3129i	0.285375	−	0.530400i
$631$	15.4621	+	9.93689i	0.615536	+	0.395581i	0.810930	−	0.585144i	$-0.198962\pi$
$631$	15.4621	+	9.93689i	0.615536	+	0.395581i	−0.195393	+	0.980725i	$0.562598\pi$
$632$	3.33344	−	4.23881i	0.132597	−	0.168611i
$633$	−12.7866	−	36.0221i	−0.508223	−	1.43175i
$634$	−3.21707	+	67.5346i	−0.127766	+	2.68214i
$635$	−14.0743	+	2.71260i	−0.558522	+	0.107646i
$636$	5.39241	+	13.1674i	0.213823	+	0.522122i
$637$	−0.753013	−	0.0865232i	−0.0298354	−	0.00342817i
$638$	2.87717	−	9.79873i	0.113908	−	0.387935i
$639$	17.1599	−	4.45091i	0.678836	−	0.176075i
$640$	7.64867	−	8.02170i	0.302340	−	0.317086i
$641$	1.45447	+	15.2319i	0.0574481	+	0.601624i	0.977658	+	0.210200i	$0.0674114\pi$
$641$	1.45447	+	15.2319i	0.0574481	+	0.601624i	−0.920210	+	0.391424i	$0.871983\pi$
$642$	−2.79301	+	6.24584i	−0.110231	+	0.246504i
$643$		−	10.7919i		−	0.425593i	−0.977097	−	0.212796i	$-0.931743\pi$
$643$		−	10.7919i		−	0.425593i	0.977097	−	0.212796i	$-0.0682571\pi$
$644$	33.5744	+	11.1752i	1.32302	+	0.440365i
$645$	−0.0208480	+	0.524772i	−0.000820887	+	0.0206629i
$646$	−11.1822	−	4.47666i	−0.439957	−	0.176132i
$647$	−14.0246	+	1.33919i	−0.551366	+	0.0526491i	−0.367021	−	0.930213i	$-0.619622\pi$
$647$	−14.0246	+	1.33919i	−0.551366	+	0.0526491i	−0.184345	+	0.982862i	$0.559016\pi$
$648$	12.3634	−	9.40592i	0.485678	−	0.369499i
$649$	5.08862	−	1.76119i	0.199746	−	0.0691327i
$650$	0.964550	+	0.283217i	0.0378328	+	0.0111087i
$651$	9.63088	+	19.9124i	0.377464	+	0.780430i
$652$	−1.37507	−	3.01098i	−0.0538518	−	0.117919i
$653$	−2.73625	−	14.1970i	−0.107078	−	0.555572i	−0.995356	−	0.0962658i	$-0.969310\pi$
$653$	−2.73625	−	14.1970i	−0.107078	−	0.555572i	0.888278	−	0.459306i	$-0.151902\pi$
$654$	−2.87924	+	32.8946i	−0.112587	+	1.28628i
$655$	9.79786	−	3.92247i	0.382834	−	0.153264i
$656$	−12.3381	−	9.70275i	−0.481720	−	0.378829i
$657$	17.7343	−	23.2987i	0.691881	−	0.908970i
$658$	−60.7699	+	6.67482i	−2.36906	+	0.260212i
$659$	−25.2968	+	11.5527i	−0.985424	+	0.450028i	−0.841909	−	0.539620i	$-0.818568\pi$
$659$	−25.2968	+	11.5527i	−0.985424	+	0.450028i	−0.143515	+	0.989648i	$0.545841\pi$
$660$	0.0273492	+	3.46486i	0.00106457	+	0.134869i
$661$	−26.6770	+	6.47177i	−1.03762	+	0.251723i	−0.718160	−	0.695878i	$-0.755015\pi$
$661$	−26.6770	+	6.47177i	−1.03762	+	0.251723i	−0.319456	+	0.947601i	$0.603500\pi$
$662$	−9.20403	+	47.7551i	−0.357725	+	1.85605i
$663$	−0.203925	+	0.715345i	−0.00791980	+	0.0277817i
$664$	−12.2381	−	5.58894i	−0.474930	−	0.216893i
$665$	−2.86101	−	1.42390i	−0.110945	−	0.0552166i
$666$	4.91015	−	61.7002i	0.190264	−	2.39083i
$667$	−20.5636	+	17.7353i	−0.796227	+	0.686715i
$668$	−5.96088	−	10.3245i	−0.230633	−	0.399469i
$669$	16.8181	−	12.1773i	0.650225	−	0.470802i
$670$	−6.67143	+	4.75070i	−0.257740	+	0.183536i
$671$	−1.80989	+	0.531431i	−0.0698700	+	0.0205157i
$672$	−22.7426	−	25.1037i	−0.877317	−	0.968398i
$673$	−10.0292	−	2.94483i	−0.386596	−	0.113515i	0.0826584	−	0.996578i	$-0.473659\pi$
$673$	−10.0292	−	2.94483i	−0.386596	−	0.113515i	−0.469254	+	0.883063i	$0.655477\pi$
$674$	61.5246	−	2.93078i	2.36984	−	0.112889i
$675$	16.3101	+	14.8304i	0.627776	+	0.570824i
$676$	11.8468	−	34.2291i	0.455646	−	1.31650i
$677$	21.5469	−	11.1082i	0.828116	−	0.426924i	0.00858862	−	0.999963i	$-0.497266\pi$
$677$	21.5469	−	11.1082i	0.828116	−	0.426924i	0.819528	+	0.573039i	$0.194236\pi$
$678$	−10.5961	−	1.95562i	−0.406941	−	0.0751051i
$679$	−42.4972	+	13.1366i	−1.63089	+	0.504135i
$680$	3.22133	−	5.01249i	0.123532	−	0.192220i
$681$	7.23011	+	47.6154i	0.277058	+	1.82463i
$682$	−7.09137	−	5.04974i	−0.271543	−	0.193365i
$683$	4.29925	−	8.33937i	0.164506	−	0.319097i	−0.792145	−	0.610332i	$-0.791036\pi$
$683$	4.29925	−	8.33937i	0.164506	−	0.319097i	0.956652	+	0.291235i	$0.0940662\pi$
$684$	−7.32043	−	9.01218i	−0.279903	−	0.344589i
$685$	−8.06804	−	6.99100i	−0.308264	−	0.267112i
$686$	18.7511	−	35.9297i	0.715920	−	1.37180i
$687$	1.04845	−	2.07373i	0.0400007	−	0.0791177i
$688$	0.582271	+	0.233106i	0.0221989	+	0.00888710i
$689$	−0.159485	−	0.276235i	−0.00607588	−	0.0105237i
$690$	8.47914	−	13.3570i	0.322795	−	0.508494i
$691$	−32.4147	−	18.7147i	−1.23312	−	0.711939i	−0.265437	−	0.964128i	$-0.585516\pi$
$691$	−32.4147	−	18.7147i	−1.23312	−	0.711939i	−0.967678	+	0.252189i	$0.918850\pi$
$692$	4.57949	+	31.8510i	0.174086	+	1.21080i
$693$	6.52790	+	0.426316i	0.247974	+	0.0161944i
$694$	45.3221	−	13.3078i	1.72040	−	0.505156i
$695$	−7.31421	+	2.53147i	−0.277444	+	0.0960243i
$696$	−16.5963	+	3.33476i	−0.629083	+	0.126404i
$697$	−30.7350	−	15.8450i	−1.16417	−	0.600171i
$698$	0.138037	+	0.0131809i	0.00522476	+	0.000498904i
$699$	−28.8498	−	36.0954i	−1.09120	−	1.36525i
$700$	−18.9986	+	24.8777i	−0.718080	+	0.940289i
$701$	39.9879	+	5.74939i	1.51032	+	0.217151i	0.847165	−	0.531330i	$-0.178308\pi$
$701$	39.9879	+	5.74939i	1.51032	+	0.217151i	0.663156	+	0.748481i	$0.269217\pi$
$702$	−0.870729	+	0.870520i	−0.0328636	+	0.0328556i
$703$	−13.0695	−	0.622575i	−0.492924	−	0.0234808i
$704$	9.79422	+	3.38981i	0.369134	+	0.127758i
$705$	−2.14095	+	15.7735i	−0.0806329	+	0.594064i
$706$	14.5105	+	22.5788i	0.546110	+	0.849764i
$707$	−14.5768	−	18.0039i	−0.548219	−	0.677105i
$708$	−23.0109	−	21.5967i	−0.864804	−	0.811654i
$709$	−5.04494	+	20.7955i	−0.189467	+	0.780992i	0.795172	+	0.606385i	$0.207381\pi$
$709$	−5.04494	+	20.7955i	−0.189467	+	0.780992i	−0.984638	+	0.174607i	$0.944134\pi$
$710$	11.2040	−	1.06985i	0.420479	−	0.0401508i
$711$	−7.80369	+	5.19100i	−0.292661	+	0.194678i
$712$	23.2711	+	13.4356i	0.872122	+	0.503520i
$713$	8.55368	+	21.5102i	0.320338	+	0.805564i
$714$	−31.7993	−	23.8895i	−1.19006	−	0.894042i
$715$	−0.0110543	−	0.0768840i	−0.000413406	−	0.00287530i
$716$	−13.5925	+	9.67916i	−0.507975	+	0.361727i
$717$	−14.1401	−	14.5972i	−0.528071	−	0.545144i
$718$	−51.0971	−	9.84816i	−1.90693	−	0.367530i
$719$	21.8700	−	20.8530i	0.815613	−	0.777685i	−0.162291	−	0.986743i	$-0.551888\pi$
$719$	21.8700	−	20.8530i	0.815613	−	0.777685i	0.977903	+	0.209058i	$0.0670397\pi$
$720$	−4.14373	+	2.21973i	−0.154428	+	0.0827244i
$721$	−3.49703	−	9.65808i	−0.130236	−	0.359686i
$722$	28.2374	−	24.4679i	1.05089	−	0.910601i
$723$	23.8395	−	11.1154i	0.886601	−	0.413386i
$724$	−3.82776	−	9.56128i	−0.142257	−	0.355342i
$725$	−8.92805	−	22.3012i	−0.331580	−	0.828246i
$726$	35.4540	−	16.5308i	1.31582	−	0.613514i
$727$	−8.26781	+	7.16409i	−0.306636	+	0.265702i	−0.794561	−	0.607184i	$-0.792299\pi$
$727$	−8.26781	+	7.16409i	−0.306636	+	0.265702i	0.487926	+	0.872885i	$0.337754\pi$
$728$	−0.378272	−	0.318484i	−0.0140197	−	0.0118038i
$729$	−25.5171	+	8.82469i	−0.945080	+	0.326840i
$730$	13.4538	−	12.8282i	0.497947	−	0.474792i
$731$	1.35676	+	0.261493i	0.0501815	+	0.00967168i
$732$	7.69167	+	7.94035i	0.284292	+	0.293484i
$733$	−4.04916	+	2.88340i	−0.149559	+	0.106501i	−0.652387	−	0.757886i	$-0.726232\pi$
$733$	−4.04916	+	2.88340i	−0.149559	+	0.106501i	0.502828	+	0.864387i	$0.332293\pi$
$734$	3.44015	+	23.9268i	0.126978	+	0.883154i
$735$	−7.89645	−	7.00021i	−0.291265	−	0.258207i
$736$	−21.8492	−	27.9162i	−0.805372	−	1.02901i
$737$	−3.06926	−	1.77204i	−0.113058	−	0.0652739i
$738$	−31.7008	−	47.6562i	−1.16692	−	1.75425i
$739$	20.9092	−	1.99659i	0.769158	−	0.0734457i	0.296903	−	0.954908i	$-0.404046\pi$
$739$	20.9092	−	1.99659i	0.769158	−	0.0734457i	0.472255	+	0.881462i	$0.343440\pi$
$740$	5.39515	−	22.2391i	0.198330	−	0.817526i
$741$	0.189784	+	0.178120i	0.00697190	+	0.00654341i
$742$	16.8454	−	2.66666i	0.618415	−	0.0978963i
$743$	−15.8839	−	24.7158i	−0.582724	−	0.906736i	0.417274	−	0.908781i	$-0.362985\pi$
$743$	−15.8839	−	24.7158i	−0.582724	−	0.906736i	−0.999998	+	0.00204497i	$0.999349\pi$
$744$	−1.94085	+	14.2993i	−0.0711551	+	0.524237i
$745$	−0.723493	−	0.250403i	−0.0265067	−	0.00917406i
$746$	30.1082	+	1.43423i	1.10234	+	0.0525110i
$747$	17.1761	+	15.8674i	0.628442	+	0.580557i
$748$	9.02328	+	1.29735i	0.329924	+	0.0474359i
$749$	3.79563	+	2.89865i	0.138689	+	0.105914i
$750$	19.0364	+	23.8174i	0.695110	+	0.869688i
$751$	−17.7465	−	1.69459i	−0.647580	−	0.0618364i	−0.233903	−	0.972260i	$-0.575150\pi$
$751$	−17.7465	−	1.69459i	−0.647580	−	0.0618364i	−0.413677	+	0.910424i	$0.635756\pi$
$752$	16.8968	+	8.71093i	0.616164	+	0.317655i
$753$	−28.0412	+	5.63440i	−1.02188	+	0.205329i
$754$	1.26790	−	0.438825i	0.0461742	−	0.0159811i
$755$	−10.5139	+	3.08716i	−0.382640	+	0.112353i
$756$	−15.5869	−	35.0277i	−0.566890	−	1.27394i
$757$	5.28736	+	36.7744i	0.192172	+	1.33659i	0.826244	+	0.563313i	$0.190473\pi$
$757$	5.28736	+	36.7744i	0.192172	+	1.33659i	−0.634072	+	0.773274i	$0.718618\pi$
$758$	48.5924	+	28.0548i	1.76496	+	1.01900i
$759$	6.78188	+	0.936503i	0.246167	+	0.0339929i
$760$	−1.04244	−	1.80557i	−0.0378134	−	0.0654947i
$761$	49.4237	+	19.7863i	1.79161	+	0.717252i	0.993377	+	0.114900i	$0.0366546\pi$
$761$	49.4237	+	19.7863i	1.79161	+	0.717252i	0.798231	+	0.602352i	$0.205770\pi$
$762$	−28.1634	+	55.7046i	−1.02025	+	2.01797i
$763$	21.8865	+	7.22867i	0.792344	+	0.261695i
$764$	−3.43938	−	2.98024i	−0.124433	−	0.107821i
$765$	−8.03826	+	6.52933i	−0.290624	+	0.236068i
$766$	−5.47174	+	10.6137i	−0.197702	+	0.383489i
$767$	0.576268	+	0.410359i	0.0208078	+	0.0148172i
$768$	−0.706585	−	4.65336i	−0.0254967	−	0.167914i
$769$	−8.66132	+	13.4773i	−0.312335	+	0.486003i	−0.961561	−	0.274593i	$-0.911457\pi$
$769$	−8.66132	+	13.4773i	−0.312335	+	0.486003i	0.649225	+	0.760596i	$0.275093\pi$
$770$	4.04967	+	0.921757i	0.145940	+	0.0332178i
$771$	−10.8376	−	2.00020i	−0.390308	−	0.0720354i
$772$	17.3373	−	8.93802i	0.623984	−	0.321686i
$773$	2.14387	−	6.19430i	0.0771096	−	0.222794i	−0.899857	−	0.436184i	$-0.856330\pi$
$773$	2.14387	−	6.19430i	0.0771096	−	0.222794i	0.976967	+	0.213391i	$0.0684507\pi$
$774$	1.75190	+	1.47026i	0.0629709	+	0.0528475i
$775$	−20.4544	+	0.974363i	−0.734743	+	0.0350001i
$776$	−27.8437	−	8.17565i	−0.999531	−	0.293489i
$777$	−41.1310	−	13.2256i	−1.47556	−	0.474465i
$778$	41.8312	−	12.2827i	1.49972	−	0.440358i
$779$	−9.85596	+	7.01840i	−0.353127	+	0.251460i
$780$	−0.368718	+	0.266974i	−0.0132022	+	0.00955920i
$781$	2.43517	+	4.21784i	0.0871373	+	0.150926i
$782$	−31.3942	−	27.3307i	−1.12265	−	0.977344i
$783$	29.2134	+	3.49646i	1.04400	+	0.124953i
$784$	−11.0329	+	6.09045i	−0.394032	+	0.217516i
$785$	3.56410	+	1.62767i	0.127208	+	0.0580940i
$786$	12.6001	−	44.1995i	0.449429	−	1.57654i
$787$	−3.17785	+	16.4883i	−0.113278	+	0.587743i	0.880283	+	0.474448i	$0.157352\pi$
$787$	−3.17785	+	16.4883i	−0.113278	+	0.587743i	−0.993561	+	0.113294i	$0.963860\pi$
$788$	47.6840	−	11.5680i	1.69867	−	0.412094i
$789$	−0.380330	−	48.1839i	−0.0135401	−	1.71539i
$790$	−5.41268	+	2.47189i	−0.192574	+	0.0879458i
$791$	−3.02703	+	6.88535i	−0.107629	+	0.244815i
$792$	3.39596	+	2.58490i	0.120670	+	0.0918506i
$793$	−0.194799	−	0.153192i	−0.00691752	−	0.00544000i
$794$	33.7747	−	13.5214i	1.19862	−	0.479855i
$795$	0.387215	−	4.42384i	0.0137331	−	0.156897i
$796$	−10.4659	−	54.3020i	−0.370953	−	1.92469i
$797$	−17.7510	−	38.8694i	−0.628774	−	1.37682i	−0.908962	−	0.416879i	$-0.863124\pi$
$797$	−17.7510	−	38.8694i	−0.628774	−	1.37682i	0.280188	−	0.959945i	$-0.409603\pi$
$798$	−12.5286	+	6.05959i	−0.443507	+	0.214507i
$799$	40.1830	+	11.7988i	1.42157	+	0.417411i
$800$	29.6349	−	10.2567i	1.04775	−	0.362631i
$801$	−31.1377	−	34.8090i	−1.10020	−	1.22992i
$802$	63.1149	−	6.02674i	2.22866	−	0.212812i
$803$	7.46795	+	2.98972i	0.263538	+	0.105505i
$804$	−0.824514	+	20.7542i	−0.0290784	+	0.731943i
$805$	−7.71544	−	7.90153i	−0.271934	−	0.278492i
$806$		−	1.14373i		−	0.0402862i
$807$	−7.08204	+	15.8371i	−0.249300	+	0.557494i
$808$	−1.43656	−	15.0443i	−0.0505379	−	0.529257i
$809$	−34.5498	+	36.2348i	−1.21471	+	1.27395i	−0.263763	+	0.964587i	$0.584964\pi$
$809$	−34.5498	+	36.2348i	−1.21471	+	1.27395i	−0.950944	+	0.309362i	$0.899885\pi$
$810$	−16.8818	+	2.97391i	−0.593165	+	0.104493i
$811$	0.729402	−	2.48411i	0.0256128	−	0.0872290i	−0.945695	−	0.325056i	$-0.894617\pi$
$811$	0.729402	−	2.48411i	0.0256128	−	0.0872290i	0.971308	+	0.237827i	$0.0764351\pi$
$812$	−1.39516	+	41.7549i	−0.0489603	+	1.46531i
$813$	2.48756	+	6.07422i	0.0872424	+	0.213032i
$814$	16.6972	−	3.21812i	0.585236	−	0.112795i
$815$	−0.0491555	+	1.03190i	−0.00172184	+	0.0361459i
$816$	4.13714	+	11.6550i	0.144829	+	0.408007i
$817$	0.298867	−	0.380041i	0.0104560	−	0.0132959i
$818$	52.6561	+	33.8400i	1.84108	+	1.18319i
$819$	0.451849	+	0.731091i	0.0157889	+	0.0255464i
$820$	−8.79095	−	19.2495i	−0.306993	−	0.672221i
$821$	41.9232	−	1.99705i	1.46313	−	0.0696975i	0.699168	−	0.714957i	$-0.253554\pi$
$821$	41.9232	−	1.99705i	1.46313	−	0.0696975i	0.763963	+	0.645260i	$0.223251\pi$
$822$	−45.5793	+	9.15840i	−1.58976	+	0.319436i
$823$	21.3561	+	4.11606i	0.744428	+	0.143477i	0.547342	−	0.836909i	$-0.315640\pi$
$823$	21.3561	+	4.11606i	0.744428	+	0.143477i	0.197087	+	0.980386i	$0.436852\pi$
$824$	1.57986	−	6.51227i	0.0550370	−	0.226866i
$825$	−2.73258	+	5.40478i	−0.0951361	+	0.188170i
$826$	−31.5285	+	20.9006i	−1.09702	+	0.727224i
$827$			9.09385i			0.316224i	0.987421	+	0.158112i	$0.0505407\pi$
$827$			9.09385i			0.316224i	−0.987421	+	0.158112i	$0.949459\pi$
$828$	−13.6326	−	37.7363i	−0.473767	−	1.31143i
$829$	−0.0868679	+	0.0501532i	−0.00301705	+	0.00174189i	−0.501508	−	0.865153i	$-0.667221\pi$
$829$	−0.0868679	+	0.0501532i	−0.00301705	+	0.00174189i	0.498491	+	0.866895i	$0.333888\pi$
$830$	9.17702	+	11.6695i	0.318539	+	0.405055i
$831$	−0.230653	+	0.150817i	−0.00800126	+	0.00523179i
$832$	0.383619	+	1.30649i	0.0132996	+	0.0452943i
$833$	−21.3271	+	17.7747i	−0.738941	+	0.615858i
$834$	−10.7724	+	31.9383i	−0.373018	+	1.10593i
$835$	0.177040	+	3.71652i	0.00612671	+	0.128615i
$836$	1.85027	−	2.59834i	0.0639928	−	0.0898653i
$837$	10.9616	−	22.5586i	0.378890	−	0.779739i
$838$	3.02479	+	5.86728i	0.104490	+	0.202682i
$839$	−3.42583	+	23.8271i	−0.118273	+	0.822604i	0.841184	+	0.540749i	$0.181859\pi$
$839$	−3.42583	+	23.8271i	−0.118273	+	0.822604i	−0.959457	+	0.281856i	$0.909050\pi$
$840$	−1.77046	−	6.65286i	−0.0610867	−	0.229546i
$841$	−2.57516	−	1.65496i	−0.0887986	−	0.0570674i
$842$	7.18216	+	37.2646i	0.247514	+	1.28422i
$843$	28.5145	−	36.8541i	0.982092	−	1.26932i
$844$	−54.7029	−	28.2013i	−1.88295	−	0.970729i
$845$	−8.18145	+	7.80100i	−0.281450	+	0.268362i
$846$	48.6229	+	49.4085i	1.67169	+	1.69870i
$847$	−5.54789	−	26.7365i	−0.190628	−	0.918677i
$848$	−4.82408	−	2.20308i	−0.165660	−	0.0756542i
$849$	45.5014	+	20.3473i	1.56160	+	0.698318i
$850$	31.8882	−	18.4107i	1.09376	−	0.631481i
$851$	−41.9377	−	16.9021i	−1.43761	−	0.579395i
$852$	15.2417	−	24.1332i	0.522171	−	0.826791i
$853$	29.3781	−	4.22393i	1.00589	−	0.144625i	0.380369	−	0.924835i	$-0.375797\pi$
$853$	29.3781	−	4.22393i	1.00589	−	0.144625i	0.625517	+	0.780210i	$0.284888\pi$
$854$	11.3803	−	6.78770i	0.389427	−	0.232270i
$855$	0.741863	+	3.54690i	0.0253712	+	0.121301i
$856$	1.01906	+	2.94438i	0.0348307	+	0.100637i
$857$	−5.12874	−	21.1409i	−0.175194	−	0.722161i	−0.989838	−	0.142199i	$-0.954583\pi$
$857$	−5.12874	−	21.1409i	−0.175194	−	0.722161i	0.814644	−	0.579962i	$-0.196932\pi$
$858$	−0.294268	−	0.166813i	−0.0100462	−	0.00569490i
$859$	−3.63429	+	38.0600i	−0.124000	+	1.29859i	0.692573	+	0.721348i	$0.256477\pi$
$859$	−3.63429	+	38.0600i	−0.124000	+	1.29859i	−0.816573	+	0.577242i	$0.804129\pi$
$860$	0.553749	+	0.639061i	0.0188827	+	0.0217918i
$861$	−37.4580	+	13.8983i	−1.27656	+	0.473652i
$862$	−8.96656	+	62.3638i	−0.305402	+	2.12412i
$863$	25.3030	−	32.1754i	0.861324	−	1.09526i	−0.133235	−	0.991084i	$-0.542537\pi$
$863$	25.3030	−	32.1754i	0.861324	−	1.09526i	0.994559	−	0.104177i	$-0.0332210\pi$
$864$	−6.37395	+	37.8766i	−0.216846	+	1.28859i
$865$	3.28468	−	9.49046i	0.111683	−	0.322685i
$866$	−54.6319	−	5.21671i	−1.85647	−	0.177271i
$867$	−1.11456	−	1.89575i	−0.0378523	−	0.0643832i
$868$	33.2475	+	12.7656i	1.12849	+	0.433292i
$869$	−1.94599	−	1.68621i	−0.0660131	−	0.0572007i
$870$	17.9637	+	5.12095i	0.609025	+	0.173616i
$871$	−0.0442597	−	0.463508i	−0.00149968	−	0.0157054i
$872$	9.29538	+	11.8200i	0.314781	+	0.400277i
$873$	41.5415	+	28.6041i	1.40597	+	0.968103i
$874$	−13.5339	+	5.38183i	−0.457790	+	0.182043i
$875$	19.2324	−	9.11536i	0.650173	−	0.308155i
$876$	−4.85161	−	46.8937i	−0.163921	−	1.58439i
$877$	13.2372	+	18.5891i	0.446990	+	0.627710i	0.975179	−	0.221417i	$-0.0710682\pi$
$877$	13.2372	+	18.5891i	0.446990	+	0.627710i	−0.528189	+	0.849127i	$0.677129\pi$
$878$	60.7875	+	57.9608i	2.05148	+	1.95608i
$879$	8.32216	−	35.5260i	0.280699	−	1.19826i
$880$	−0.891206	−	0.934670i	−0.0300426	−	0.0315077i
$881$	−40.1395	+	25.7961i	−1.35233	+	0.869092i	−0.997822	−	0.0659602i	$-0.978989\pi$
$881$	−40.1395	+	25.7961i	−1.35233	+	0.869092i	−0.354511	+	0.935052i	$0.615353\pi$
$882$	−45.1538	+	8.54286i	−1.52041	+	0.287653i
$883$	3.20332	+	3.69683i	0.107800	+	0.124408i	0.807085	−	0.590435i	$-0.201044\pi$
$883$	3.20332	+	3.69683i	0.107800	+	0.124408i	−0.699285	+	0.714843i	$0.746498\pi$
$884$	0.548799	+	1.06452i	0.0184581	+	0.0358037i
$885$	3.29472	+	9.28179i	0.110751	+	0.312004i
$886$	38.3598	−	15.3569i	1.28872	−	0.515926i
$887$	14.5247	−	7.48800i	0.487691	−	0.251422i	−0.196800	−	0.980444i	$-0.563055\pi$
$887$	14.5247	−	7.48800i	0.487691	−	0.251422i	0.684491	+	0.729021i	$0.260025\pi$
$888$	−17.5981	−	22.0179i	−0.590554	−	0.738873i
$889$	33.3305	+	28.0624i	1.11787	+	0.941184i
$890$	−16.0306	−	24.9441i	−0.537347	−	0.836128i
$891$	−4.20530	−	6.11047i	−0.140883	−	0.204708i
$892$	6.32698	−	32.8275i	0.211843	−	1.09915i
$893$	10.1124	−	10.6056i	0.338400	−	0.354903i
$894$	−2.79048	+	1.82462i	−0.0933276	+	0.0610243i
$895$	5.15480	−	0.741149i	0.172306	−	0.0247739i
$896$	−33.5823	−	2.72614i	−1.12191	−	0.0910741i
$897$	0.416605	+	0.797151i	0.0139100	+	0.0266161i
$898$	−19.7891	+	34.2758i	−0.660372	+	1.14380i
$899$	−21.4833	+	16.8947i	−0.716508	+	0.563468i
$900$	35.4893	−	0.560291i	1.18298	−	0.0186764i
$901$	−11.3540	−	2.75444i	−0.378255	−	0.0917637i
$902$	10.2975	−	11.8839i	0.342868	−	0.395691i
$903$	1.27968	−	0.954549i	0.0425850	−	0.0317654i
$904$	−4.12793	+	2.65286i	−0.137293	+	0.0882327i
$905$	−0.305537	+	3.19973i	−0.0101564	+	0.106363i
$906$	−17.3853	+	44.4397i	−0.577587	+	1.47641i
$907$	2.13464	−	44.8116i	0.0708796	−	1.48795i	−0.631074	−	0.775723i	$-0.717386\pi$
$907$	2.13464	−	44.8116i	0.0708796	−	1.48795i	0.701954	−	0.712223i	$-0.252311\pi$
$908$	60.9537	+	47.9345i	2.02282	+	1.59076i
$909$	−5.78891	+	25.6210i	−0.192006	+	0.849793i
$910$	0.209969	+	0.503632i	0.00696041	+	0.0166952i
$911$	−7.57012	+	6.55955i	−0.250809	+	0.217327i	−0.771187	−	0.636609i	$-0.780337\pi$
$911$	−7.57012	+	6.55955i	−0.250809	+	0.217327i	0.520378	+	0.853936i	$0.325791\pi$
$912$	4.28819	+	0.582040i	0.141996	+	0.0192733i
$913$	−2.94373	+	5.71003i	−0.0974231	+	0.188974i
$914$	−69.9750	+	16.9758i	−2.31457	+	0.561508i
$915$	−0.998131	−	3.30266i	−0.0329972	−	0.109183i
$916$	−1.05407	−	3.58982i	−0.0348274	−	0.118611i
$917$	−28.0087	−	15.6448i	−0.924929	−	0.516638i
$918$	1.06781	+	45.0859i	0.0352429	+	1.48806i
$919$	−21.2059	+	36.7297i	−0.699518	+	1.21160i	0.269115	+	0.963108i	$0.413269\pi$
$919$	−21.2059	+	36.7297i	−0.699518	+	1.21160i	−0.968634	+	0.248494i	$0.920065\pi$
$920$	−1.34714	−	7.07772i	−0.0444138	−	0.233346i
$921$	10.8039	+	20.5567i	0.356001	+	0.677365i
$922$	−21.0825	+	52.6616i	−0.694316	+	1.73432i
$923$	−0.265808	+	0.582037i	−0.00874916	+	0.0191580i
$924$	8.13357	−	6.69232i	0.267575	−	0.220161i
$925$	26.1934	−	30.2288i	0.861234	−	0.993917i
$926$	13.0648	+	13.7019i	0.429334	+	0.450273i
$927$	−6.14139	+	9.89627i	−0.201710	+	0.325036i
$928$	24.2780	−	34.0936i	0.796963	−	1.11918i
$929$	−3.60316	+	0.694453i	−0.118216	+	0.0227843i	−0.248016	−	0.968756i	$-0.579779\pi$
$929$	−3.60316	+	0.694453i	−0.118216	+	0.0227843i	0.129800	+	0.991540i	$0.458566\pi$
$930$	9.13373	−	13.0432i	0.299507	−	0.427703i
$931$	2.10861	+	9.48296i	0.0691069	+	0.310791i
$932$	−73.6420	−	10.5881i	−2.41223	−	0.346826i
$933$	0.0232938	+	0.0499589i	0.000762604	+	0.00163558i
$934$	−59.8793	−	20.7244i	−1.95931	−	0.678124i
$935$	−2.31754	−	1.65031i	−0.0757917	−	0.0539710i
$936$	−0.0178349	+	0.560417i	−0.000582952	+	0.0183178i
$937$	−8.81548	+	30.0228i	−0.287989	+	0.980801i	0.680708	+	0.732555i	$0.261672\pi$
$937$	−8.81548	+	30.0228i	−0.287989	+	0.980801i	−0.968697	+	0.248246i	$0.920146\pi$
$938$	23.9851	+	6.67424i	0.783141	+	0.217922i
$939$	−16.8176	+	4.22072i	−0.548820	+	0.137738i
$940$	14.8667	+	20.8773i	0.484897	+	0.680943i
$941$	24.7975	−	19.5009i	0.808374	−	0.635712i	−0.125990	−	0.992031i	$-0.540211\pi$
$941$	24.7975	−	19.5009i	0.808374	−	0.635712i	0.934364	+	0.356319i	$0.115968\pi$
$942$	15.1040	−	7.93820i	0.492116	−	0.258640i
$943$	−40.1460	+	11.6871i	−1.30733	+	0.380583i
$944$	11.7623			0.382831
$945$	−0.685499	+	11.9458i	−0.0222993	+	0.388598i
$946$	−0.261020	+	0.571554i	−0.00848649	+	0.0185828i
$947$	−56.2469	−	13.6453i	−1.82778	−	0.443414i	−0.833712	−	0.552199i	$-0.813789\pi$
$947$	−56.2469	−	13.6453i	−1.82778	−	0.443414i	−0.994065	+	0.108785i	$0.965304\pi$
$948$	−3.44188	+	14.6929i	−0.111787	+	0.477202i
$949$	0.249158	+	1.02704i	0.00808801	+	0.0333392i
$950$	−0.613052	−	12.8696i	−0.0198900	−	0.417543i
$951$	−20.2807	−	49.5222i	−0.657646	−	1.60587i
$952$	−18.0041	+	1.97753i	−0.583516	+	0.0640921i
$953$	−7.52318	+	11.7063i	−0.243700	+	0.379204i	−0.941459	−	0.337129i	$-0.890544\pi$
$953$	−7.52318	+	11.7063i	−0.243700	+	0.379204i	0.697759	+	0.716333i	$0.254181\pi$
$954$	−14.2051	−	13.1227i	−0.459906	−	0.424863i
$955$	0.527886	+	1.31859i	0.0170820	+	0.0426687i
$956$	−32.6847	−	1.55697i	−1.05710	−	0.0503558i
$957$	1.21346	+	7.99148i	0.0392255	+	0.258328i
$958$	44.0222	−	20.1043i	1.42229	−	0.649539i
$959$	−1.08371	+	32.4337i	−0.0349948	+	1.04734i
$960$	−6.05866	+	17.9628i	−0.195542	+	0.579748i
$961$	−2.51906	−	7.27834i	−0.0812599	−	0.234785i
$962$	1.61684	+	1.54165i	0.0521290	+	0.0497049i
$963$	−0.0854845	−	5.41466i	−0.00275470	−	0.174485i
$964$	15.7403	−	39.3174i	0.506961	−	1.26633i
$965$	−6.08765			−0.195968
$966$	−47.7758	+	5.51748i	−1.53716	+	0.177522i
$967$	−1.44732			−0.0465427			−0.0232714	−	0.999729i	$-0.507408\pi$
$967$	−1.44732			−0.0465427			−0.0232714	+	0.999729i	$0.507408\pi$
$968$	6.62088	−	16.5382i	0.212803	−	0.531557i
$969$	9.51888	−	0.528774i	0.305790	−	0.0169867i
$970$	23.1749	+	22.0972i	0.744102	+	0.709500i
$971$	6.49708	+	18.7721i	0.208501	+	0.602425i	0.999961	−	0.00879594i	$-0.00279987\pi$
$971$	6.49708	+	18.7721i	0.208501	+	0.602425i	−0.791460	+	0.611221i	$0.790679\pi$
$972$	−20.2339	+	38.4766i	−0.649002	+	1.23414i
$973$	19.9716	+	12.4379i	0.640260	+	0.398740i
$974$	79.2973	−	36.2139i	2.54085	−	1.16037i
$975$	−0.786651	+	0.119448i	−0.0251930	+	0.00382540i
$976$	−4.11570	−	0.196055i	−0.131740	−	0.00627556i
$977$	20.4470	+	51.0741i	0.654156	+	1.63400i	0.767958	+	0.640500i	$0.221273\pi$
$977$	20.4470	+	51.0741i	0.654156	+	1.63400i	−0.113801	+	0.993504i	$0.536303\pi$
$978$	3.42316	+	2.91920i	0.109461	+	0.0933456i
$979$	6.93690	−	10.7940i	0.221704	−	0.344978i
$980$	−16.9838	+	0.482446i	−0.542527	+	0.0154112i
$981$	−8.93689	−	24.5601i	−0.285333	−	0.784142i
$982$	3.08703	+	64.8048i	0.0985112	+	2.06801i
$983$	8.94474	+	36.8707i	0.285293	+	1.17599i	0.916389	+	0.400289i	$0.131090\pi$
$983$	8.94474	+	36.8707i	0.285293	+	1.17599i	−0.631096	+	0.775704i	$0.717395\pi$
$984$	−25.3781	−	5.94497i	−0.809026	−	0.189519i
$985$	−14.8820	−	3.61033i	−0.474180	−	0.115035i
$986$	20.4151	−	44.7029i	0.650150	−	1.42363i
$987$	41.3609	−	25.1140i	1.31653	−	0.799388i
$988$	0.419072			0.0133325
$989$	1.40763	−	0.900031i	0.0447600	−	0.0286193i
$990$	−2.02371	−	4.25235i	−0.0643176	−	0.135148i
$991$	25.9286	−	20.3905i	0.823650	−	0.647726i	−0.114704	−	0.993400i	$-0.536592\pi$
$991$	25.9286	−	20.3905i	0.823650	−	0.647726i	0.938355	+	0.345674i	$0.112350\pi$
$992$	−20.6958	−	29.0632i	−0.657094	−	0.922759i
$993$	−9.37019	−	37.3357i	−0.297354	−	1.18481i
$994$	−23.9590	−	24.4235i	−0.759933	−	0.774667i
$995$	−4.86252	+	16.5602i	−0.154152	+	0.524995i
$996$	37.6486	−	0.297172i	1.19294	−	0.00941625i
$997$	17.5063	+	12.4662i	0.554430	+	0.394808i	0.822649	−	0.568550i	$-0.192496\pi$
$997$	17.5063	+	12.4662i	0.554430	+	0.394808i	−0.268219	+	0.963358i	$0.586435\pi$
$998$	−22.5025	−	7.78818i	−0.712304	−	0.246531i
$999$	17.1147	+	45.9031i	0.541484	+	1.45231i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.bb.a.26.9	✓	1200
3.2	odd	2	inner	483.2.bb.a.26.52	yes	1200
7.3	odd	6	inner	483.2.bb.a.164.9	yes	1200
21.17	even	6	inner	483.2.bb.a.164.52	yes	1200
23.8	even	11	inner	483.2.bb.a.215.52	yes	1200
69.8	odd	22	inner	483.2.bb.a.215.9	yes	1200
161.31	odd	66	inner	483.2.bb.a.353.52	yes	1200
483.353	even	66	inner	483.2.bb.a.353.9	yes	1200

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.bb.a.26.9	✓	1200	1.1	even	1	trivial
483.2.bb.a.26.52	yes	1200	3.2	odd	2	inner
483.2.bb.a.164.9	yes	1200	7.3	odd	6	inner
483.2.bb.a.164.52	yes	1200	21.17	even	6	inner
483.2.bb.a.215.9	yes	1200	69.8	odd	22	inner
483.2.bb.a.215.52	yes	1200	23.8	even	11	inner
483.2.bb.a.353.9	yes	1200	483.353	even	66	inner
483.2.bb.a.353.52	yes	1200	161.31	odd	66	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:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.bb (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.813318 + 2.03157i) q^{2} +(-0.0960674 - 1.72938i) q^{3} +(-2.01832 - 1.92447i) q^{4} +(0.284667 + 0.822493i) q^{5} +(3.59150 + 1.21137i) q^{6} +(1.39865 - 2.24583i) q^{7} +(1.57009 - 0.717034i) q^{8} +(-2.98154 + 0.332275i) q^{9} +O(q^{10})\)	\(q+(-0.813318 + 2.03157i) q^{2} +(-0.0960674 - 1.72938i) q^{3} +(-2.01832 - 1.92447i) q^{4} +(0.284667 + 0.822493i) q^{5} +(3.59150 + 1.21137i) q^{6} +(1.39865 - 2.24583i) q^{7} +(1.57009 - 0.717034i) q^{8} +(-2.98154 + 0.332275i) q^{9} +(-1.90248 - 0.0906261i) q^{10} +(-0.306320 - 0.765151i) q^{11} +(-3.13425 + 3.67533i) q^{12} +(0.0585411 - 0.0910918i) q^{13} +(3.42502 + 4.66804i) q^{14} +(1.39506 - 0.571314i) q^{15} +(-0.0856632 - 1.79829i) q^{16} +(-0.935055 - 3.85435i) q^{17} +(1.74990 - 6.32746i) q^{18} +(-1.34867 - 0.327185i) q^{19} +(1.00831 - 2.20789i) q^{20} +(-4.01827 - 2.20306i) q^{21} +1.80359 q^{22} +(-4.02850 - 2.60215i) q^{23} +(-1.39086 - 2.64640i) q^{24} +(3.33481 - 2.62252i) q^{25} +(0.137447 + 0.193017i) q^{26} +(0.861060 + 5.12431i) q^{27} +(-7.14496 + 1.84115i) q^{28} +(1.59524 - 5.43289i) q^{29} +(0.0260386 + 3.29882i) q^{30} +(-3.93180 - 2.79982i) q^{31} +(6.98530 + 2.41763i) q^{32} +(-1.29381 + 0.603252i) q^{33} +(8.59088 + 1.23518i) q^{34} +(2.24533 + 0.511067i) q^{35} +(6.65716 + 5.06724i) q^{36} +(9.25772 - 1.78428i) q^{37} +(1.76160 - 2.47382i) q^{38} +(-0.163157 - 0.0924892i) q^{39} +(1.03671 + 1.08727i) q^{40} +(5.70941 - 6.58901i) q^{41} +(7.74380 - 6.37162i) q^{42} +(-0.144722 + 0.316897i) q^{43} +(-0.854254 + 2.13382i) q^{44} +(-1.12204 - 2.35771i) q^{45} +(8.56291 - 6.06780i) q^{46} +(-5.27961 + 9.14455i) q^{47} +(-3.10171 + 0.320902i) q^{48} +(-3.08753 - 6.28229i) q^{49} +(2.61558 + 8.90784i) q^{50} +(-6.57582 + 1.98735i) q^{51} +(-0.293458 + 0.0711921i) q^{52} +(1.34982 - 2.61829i) q^{53} +(-11.1107 - 2.41839i) q^{54} +(0.542132 - 0.469760i) q^{55} +(0.585667 - 4.52903i) q^{56} +(-0.436265 + 2.36381i) q^{57} +(9.73986 + 7.65951i) q^{58} +(-0.310873 + 6.52602i) q^{59} +(-3.91515 - 1.53165i) q^{60} +(0.217552 - 2.27831i) q^{61} +(8.88584 - 5.71058i) q^{62} +(-3.42391 + 7.16078i) q^{63} +(-8.23493 + 9.50361i) q^{64} +(0.0915871 + 0.0222188i) q^{65} +(-0.173267 - 3.11911i) q^{66} +(3.38009 - 2.65813i) q^{67} +(-5.53032 + 9.57880i) q^{68} +(-4.11312 + 7.21680i) q^{69} +(-2.86444 + 4.14589i) q^{70} +(-5.84911 + 0.840975i) q^{71} +(-4.44302 + 2.65957i) q^{72} +(-6.73524 + 7.06372i) q^{73} +(-3.90458 + 20.2589i) q^{74} +(-4.85571 - 5.51522i) q^{75} +(2.09240 + 3.25584i) q^{76} +(-2.14684 - 0.382237i) q^{77} +(0.320596 - 0.256241i) q^{78} +(2.77687 - 1.43158i) q^{79} +(1.45470 - 0.582373i) q^{80} +(8.77919 - 1.98138i) q^{81} +(8.74247 + 16.9580i) q^{82} +(-5.10433 - 5.89072i) q^{83} +(3.87046 + 12.1795i) q^{84} +(2.90399 - 1.86628i) q^{85} +(-0.526094 - 0.551752i) q^{86} +(-9.54881 - 2.23686i) q^{87} +(-1.02959 - 0.981710i) q^{88} +(9.03025 + 12.6812i) q^{89} +(5.70243 - 0.361940i) q^{90} +(-0.122698 - 0.258880i) q^{91} +(3.12305 + 13.0047i) q^{92} +(-4.46425 + 7.06857i) q^{93} +(-14.2838 - 18.1633i) q^{94} +(-0.114817 - 1.20241i) q^{95} +(3.50996 - 12.3125i) q^{96} +(-12.7059 - 11.0097i) q^{97} +(15.2741 - 1.16305i) q^{98} +(1.16755 + 2.17955i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9}+O(q^{10}) \) 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9	\( 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9} - 54 q^{10} - 15 q^{12} - 64 q^{15} + 38 q^{16} + 43 q^{18} - 54 q^{19} - 70 q^{21} - 160 q^{22} - 66 q^{24} + 34 q^{25} - 76 q^{28} - 23 q^{30} - 54 q^{31} - 3 q^{33} - 28 q^{36} + 26 q^{37} + 5 q^{39} - 30 q^{40} - 68 q^{42} - 176 q^{43} - 96 q^{45} - 22 q^{46} - 128 q^{49} - 23 q^{51} - 102 q^{52} + 21 q^{54} - 36 q^{57} + 58 q^{58} - 43 q^{60} - 126 q^{61} + 41 q^{63} + 40 q^{64} - 132 q^{66} - 10 q^{67} + 20 q^{70} + 59 q^{72} - 30 q^{73} - 81 q^{75} + 164 q^{78} - 14 q^{79} - 97 q^{81} - 66 q^{82} + 24 q^{84} - 56 q^{85} - 399 q^{87} - 74 q^{88} - 156 q^{91} + 8 q^{93} - 126 q^{94} - 117 q^{96} + 196 q^{99}+O(q^{100}) \) 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9 - 54 * q^10 - 15 * q^12 - 64 * q^15 + 38 * q^16 + 43 * q^18 - 54 * q^19 - 70 * q^21 - 160 * q^22 - 66 * q^24 + 34 * q^25 - 76 * q^28 - 23 * q^30 - 54 * q^31 - 3 * q^33 - 28 * q^36 + 26 * q^37 + 5 * q^39 - 30 * q^40 - 68 * q^42 - 176 * q^43 - 96 * q^45 - 22 * q^46 - 128 * q^49 - 23 * q^51 - 102 * q^52 + 21 * q^54 - 36 * q^57 + 58 * q^58 - 43 * q^60 - 126 * q^61 + 41 * q^63 + 40 * q^64 - 132 * q^66 - 10 * q^67 + 20 * q^70 + 59 * q^72 - 30 * q^73 - 81 * q^75 + 164 * q^78 - 14 * q^79 - 97 * q^81 - 66 * q^82 + 24 * q^84 - 56 * q^85 - 399 * q^87 - 74 * q^88 - 156 * q^91 + 8 * q^93 - 126 * q^94 - 117 * q^96 + 196 * q^99

Introduction

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